{Knot[3, 1] -> {(1 - T + T^2)/T, (-1 + T1 - T1^2 + T2 - T1^2*T2 + 2*T1^3*T2 - 
     T2^2 - T1*T2^2 + T1^2*T2^2 - 2*T1^3*T2^2 + 2*T1*T2^3 - 2*T1^2*T2^3 + 
     2*T1^3*T2^3)/(T1^2*T2*(-1 + T1*T2))}, 
 Knot[4, 1] -> {-((1 - 3*T + T^2)/T), 
   -(((1 - 3*T1 + T1^2)*(1 + T1*T2)*(1 - 3*T2 + T2^2))/(T1^3*T2^2))}, 
 Knot[5, 1] -> {(1 - T + T^2 - T^3 + T^4)/T^2, 
   (-1 + T1 - T1^2 + T1^3 - T1^4 + T2 - T1^4*T2 + 2*T1^5*T2 - T2^2 - 
     2*T1^2*T2^2 + 2*T1^3*T2^2 - T1^4*T2^2 + T1^5*T2^2 - 3*T1^6*T2^2 + T2^3 + 
     2*T1^2*T2^3 - 2*T1^4*T2^3 + 2*T1^5*T2^3 - T1^6*T2^3 + 4*T1^7*T2^3 - 
     T2^4 - T1*T2^4 - T1^2*T2^4 - 2*T1^3*T2^4 + 2*T1^4*T2^4 - 2*T1^5*T2^4 + 
     T1^6*T2^4 - 4*T1^7*T2^4 + 2*T1*T2^5 + T1^2*T2^5 + 2*T1^3*T2^5 - 
     2*T1^4*T2^5 + 2*T1^5*T2^5 - T1^6*T2^5 + 4*T1^7*T2^5 - 3*T1^2*T2^6 - 
     T1^3*T2^6 + T1^4*T2^6 - T1^5*T2^6 + T1^6*T2^6 - 4*T1^7*T2^6 + 
     4*T1^3*T2^7 - 4*T1^4*T2^7 + 4*T1^5*T2^7 - 4*T1^6*T2^7 + 4*T1^7*T2^7)/
    (T1^4*T2^3*(-1 + T1*T2))}, Knot[5, 2] -> {(2 - 3*T + 2*T^2)/T, 
   (1 - T1 + T1^2 - T2 - 12*T1*T2 + 18*T1^2*T2 - 13*T1^3*T2 + T2^2 + 
     18*T1*T2^2 - 12*T1^2*T2^2 - 6*T1^3*T2^2 + 17*T1^4*T2^2 - 13*T1*T2^3 - 
     6*T1^2*T2^3 + 24*T1^3*T2^3 - 25*T1^4*T2^3 + 17*T1^2*T2^4 - 
     25*T1^3*T2^4 + 17*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2))}, 
 Knot[6, 1] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   -((-7 + 17*T1 - 7*T1^2 + 17*T2 - 44*T1*T2 + 26*T1^2*T2 - 3*T1^3*T2 - 
      7*T2^2 + 26*T1*T2^2 - 24*T1^2*T2^2 - 14*T1^3*T2^2 + 9*T1^4*T2^2 - 
      3*T1*T2^3 - 14*T1^2*T2^3 + 56*T1^3*T2^3 - 23*T1^4*T2^3 + 9*T1^2*T2^4 - 
      23*T1^3*T2^4 + 9*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[6, 2] -> {-((1 - 3*T + 3*T^2 - 3*T^3 + T^4)/T^2), 
   -((-1 + 3*T1 - 3*T1^2 + 3*T1^3 - T1^4 + 3*T2 - 9*T1*T2 + 9*T1^2*T2 - 
      9*T1^3*T2 + 3*T1^4*T2 - 3*T2^2 + 9*T1*T2^2 - 6*T1^2*T2^2 + 
      2*T1^3*T2^2 + 6*T1^4*T2^2 - 9*T1^5*T2^2 + 3*T1^6*T2^2 + 3*T2^3 - 
      9*T1*T2^3 + 2*T1^2*T2^3 + 6*T1^3*T2^3 - 12*T1^4*T2^3 + 11*T1^5*T2^3 + 
      9*T1^6*T2^3 - 6*T1^7*T2^3 - T2^4 + 3*T1*T2^4 + 6*T1^2*T2^4 - 
      12*T1^3*T2^4 + 12*T1^5*T2^4 - 36*T1^6*T2^4 + 9*T1^7*T2^4 + 
      3*T1^8*T2^4 - 9*T1^2*T2^5 + 11*T1^3*T2^5 + 12*T1^4*T2^5 - 6*T1^5*T2^5 + 
      20*T1^6*T2^5 + 9*T1^7*T2^5 - 9*T1^8*T2^5 + 3*T1^2*T2^6 + 9*T1^3*T2^6 - 
      36*T1^4*T2^6 + 20*T1^5*T2^6 - 24*T1^6*T2^6 - 9*T1^7*T2^6 + 
      9*T1^8*T2^6 - 6*T1^3*T2^7 + 9*T1^4*T2^7 + 9*T1^5*T2^7 - 9*T1^6*T2^7 + 
      21*T1^7*T2^7 - 9*T1^8*T2^7 + 3*T1^4*T2^8 - 9*T1^5*T2^8 + 9*T1^6*T2^8 - 
      9*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[6, 3] -> {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)/T^2, 
   ((1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4)*(1 + T1*T2)*
     (2 - 3*T1*T2 + 2*T1^2*T2^2)*(1 - 3*T2 + 5*T2^2 - 3*T2^3 + T2^4))/
    (T1^5*T2^4)}, Knot[7, 1] -> {(1 - T + T^2 - T^3 + T^4 - T^5 + T^6)/T^3, 
   (-1 + T1 - T1^2 + T1^3 - T1^4 + T1^5 - T1^6 + T2 - T1^6*T2 + 2*T1^7*T2 - 
     T2^2 - 2*T1^2*T2^2 + 2*T1^3*T2^2 - 2*T1^4*T2^2 + 2*T1^5*T2^2 - 
     T1^6*T2^2 + T1^7*T2^2 - 3*T1^8*T2^2 + T2^3 + 2*T1^2*T2^3 - 2*T1^6*T2^3 + 
     2*T1^7*T2^3 - T1^8*T2^3 + 4*T1^9*T2^3 - T2^4 - 2*T1^2*T2^4 - 
     3*T1^4*T2^4 + 3*T1^5*T2^4 - T1^6*T2^4 + 2*T1^7*T2^4 - 3*T1^8*T2^4 + 
     T1^9*T2^4 - 5*T1^10*T2^4 + T2^5 + 2*T1^2*T2^5 + 3*T1^4*T2^5 - 
     3*T1^6*T2^5 + 2*T1^7*T2^5 - 2*T1^8*T2^5 + 4*T1^9*T2^5 - T1^10*T2^5 + 
     6*T1^11*T2^5 - T2^6 - T1*T2^6 - T1^2*T2^6 - 2*T1^3*T2^6 - T1^4*T2^6 - 
     3*T1^5*T2^6 + 3*T1^6*T2^6 - 2*T1^7*T2^6 + 2*T1^8*T2^6 - 4*T1^9*T2^6 + 
     T1^10*T2^6 - 6*T1^11*T2^6 + 2*T1*T2^7 + T1^2*T2^7 + 2*T1^3*T2^7 + 
     2*T1^4*T2^7 + 2*T1^5*T2^7 - 2*T1^6*T2^7 + 2*T1^7*T2^7 - 2*T1^8*T2^7 + 
     4*T1^9*T2^7 - T1^10*T2^7 + 6*T1^11*T2^7 - 3*T1^2*T2^8 - T1^3*T2^8 - 
     3*T1^4*T2^8 - 2*T1^5*T2^8 + 2*T1^6*T2^8 - 2*T1^7*T2^8 + 2*T1^8*T2^8 - 
     4*T1^9*T2^8 + T1^10*T2^8 - 6*T1^11*T2^8 + 4*T1^3*T2^9 + T1^4*T2^9 + 
     4*T1^5*T2^9 - 4*T1^6*T2^9 + 4*T1^7*T2^9 - 4*T1^8*T2^9 + 4*T1^9*T2^9 - 
     T1^10*T2^9 + 6*T1^11*T2^9 - 5*T1^4*T2^10 - T1^5*T2^10 + T1^6*T2^10 - 
     T1^7*T2^10 + T1^8*T2^10 - T1^9*T2^10 + T1^10*T2^10 - 6*T1^11*T2^10 + 
     6*T1^5*T2^11 - 6*T1^6*T2^11 + 6*T1^7*T2^11 - 6*T1^8*T2^11 + 
     6*T1^9*T2^11 - 6*T1^10*T2^11 + 6*T1^11*T2^11)/(T1^6*T2^5*(-1 + T1*T2))}, 
 Knot[7, 2] -> {(3 - 5*T + 3*T^2)/T, (9 - 13*T1 + 9*T1^2 - 13*T2 - 39*T1*T2 + 
     81*T1^2*T2 - 58*T1^3*T2 + 9*T2^2 + 81*T1*T2^2 - 84*T1^2*T2^2 - 
     9*T1^3*T2^2 + 63*T1^4*T2^2 - 58*T1*T2^3 - 9*T1^2*T2^3 + 111*T1^3*T2^3 - 
     103*T1^4*T2^3 + 63*T1^2*T2^4 - 103*T1^3*T2^4 + 63*T1^4*T2^4)/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[7, 3] -> 
  {(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4)/T^2, 
   -((33 - 49*T1 + 49*T1^2 - 49*T1^3 + 33*T1^4 - 49*T2 + 36*T1*T2 - 
      18*T1^2*T2 + 18*T1^3*T2 + 6*T1^4*T2 - 37*T1^5*T2 + 49*T2^2 - 
      18*T1*T2^2 + 8*T1^2*T2^2 - 16*T1^3*T2^2 - 4*T1^4*T2^2 + 18*T1^5*T2^2 + 
      25*T1^6*T2^2 - 49*T2^3 + 18*T1*T2^3 - 16*T1^2*T2^3 + 27*T1^3*T2^3 - 
      9*T1^4*T2^3 - 7*T1^5*T2^3 - 18*T1^6*T2^3 - 13*T1^7*T2^3 + 33*T2^4 + 
      6*T1*T2^4 - 4*T1^2*T2^4 - 9*T1^3*T2^4 - 12*T1^4*T2^4 + 21*T1^5*T2^4 + 
      2*T1^6*T2^4 + 18*T1^7*T2^4 + T1^8*T2^4 - 37*T1*T2^5 + 18*T1^2*T2^5 - 
      7*T1^3*T2^5 + 21*T1^4*T2^5 - 15*T1^5*T2^5 + 2*T1^6*T2^5 - 
      18*T1^7*T2^5 - T1^8*T2^5 + 25*T1^2*T2^6 - 18*T1^3*T2^6 + 2*T1^4*T2^6 + 
      2*T1^5*T2^6 - 10*T1^6*T2^6 + 18*T1^7*T2^6 + T1^8*T2^6 - 13*T1^3*T2^7 + 
      18*T1^4*T2^7 - 18*T1^5*T2^7 + 18*T1^6*T2^7 - 12*T1^7*T2^7 - T1^8*T2^7 + 
      T1^4*T2^8 - T1^5*T2^8 + T1^6*T2^8 - T1^7*T2^8 + T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[7, 4] -> 
  {(4 - 7*T + 4*T^2)/T, (-4*(36 - 62*T1 + 36*T1^2 - 62*T2 + 73*T1*T2 - 
      4*T1^2*T2 - 34*T1^3*T2 + 36*T2^2 - 4*T1*T2^2 - 60*T1^2*T2^2 + 
      52*T1^3*T2^2 + 4*T1^4*T2^2 - 34*T1*T2^3 + 52*T1^2*T2^3 - 25*T1^3*T2^3 - 
      6*T1^4*T2^3 + 4*T1^2*T2^4 - 6*T1^3*T2^4 + 4*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[7, 5] -> 
  {(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4)/T^2, 
   (1 - T1 + T1^2 - T1^3 + T1^4 - T2 - 16*T1*T2 + 32*T1^2*T2 - 40*T1^3*T2 + 
     32*T1^4*T2 - 17*T1^5*T2 + T2^2 + 32*T1*T2^2 - 32*T1^2*T2^2 + 
     12*T1^3*T2^2 + 28*T1^4*T2^2 - 48*T1^5*T2^2 + 41*T1^6*T2^2 - T2^3 - 
     40*T1*T2^3 + 12*T1^2*T2^3 + 6*T1^3*T2^3 - 30*T1^4*T2^3 + 12*T1^5*T2^3 + 
     16*T1^6*T2^3 - 49*T1^7*T2^3 + T2^4 + 32*T1*T2^4 + 28*T1^2*T2^4 - 
     30*T1^3*T2^4 + 36*T1^4*T2^4 + 2*T1^5*T2^4 - 20*T1^6*T2^4 + 
     32*T1^7*T2^4 + 33*T1^8*T2^4 - 17*T1*T2^5 - 48*T1^2*T2^5 + 12*T1^3*T2^5 + 
     2*T1^4*T2^5 - 34*T1^5*T2^5 + 12*T1^6*T2^5 + 8*T1^7*T2^5 - 65*T1^8*T2^5 + 
     41*T1^2*T2^6 + 16*T1^3*T2^6 - 20*T1^4*T2^6 + 12*T1^5*T2^6 + 
     40*T1^6*T2^6 - 64*T1^7*T2^6 + 81*T1^8*T2^6 - 49*T1^3*T2^7 + 
     32*T1^4*T2^7 + 8*T1^5*T2^7 - 64*T1^6*T2^7 + 80*T1^7*T2^7 - 
     65*T1^8*T2^7 + 33*T1^4*T2^8 - 65*T1^5*T2^8 + 81*T1^6*T2^8 - 
     65*T1^7*T2^8 + 33*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[7, 6] -> {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   -((-1 + 5*T1 - 7*T1^2 + 5*T1^3 - T1^4 + 5*T2 - 25*T1*T2 + 35*T1^2*T2 - 
      25*T1^3*T2 + 5*T1^4*T2 - 7*T2^2 + 35*T1*T2^2 - 37*T1^2*T2^2 - 
      7*T1^3*T2^2 + 47*T1^4*T2^2 - 35*T1^5*T2^2 + 7*T1^6*T2^2 + 5*T2^3 - 
      25*T1*T2^3 - 7*T1^2*T2^3 + 140*T1^3*T2^3 - 190*T1^4*T2^3 + 
      98*T1^5*T2^3 + 15*T1^6*T2^3 - 10*T1^7*T2^3 - T2^4 + 5*T1*T2^4 + 
      47*T1^2*T2^4 - 190*T1^3*T2^4 + 108*T1^4*T2^4 + 90*T1^5*T2^4 - 
      175*T1^6*T2^4 + 35*T1^7*T2^4 + 3*T1^8*T2^4 - 35*T1^2*T2^5 + 
      98*T1^3*T2^5 + 90*T1^4*T2^5 - 240*T1^5*T2^5 + 203*T1^6*T2^5 + 
      5*T1^7*T2^5 - 15*T1^8*T2^5 + 7*T1^2*T2^6 + 15*T1^3*T2^6 - 
      175*T1^4*T2^6 + 203*T1^5*T2^6 - 91*T1^6*T2^6 - 55*T1^7*T2^6 + 
      21*T1^8*T2^6 - 10*T1^3*T2^7 + 35*T1^4*T2^7 + 5*T1^5*T2^7 - 
      55*T1^6*T2^7 + 65*T1^7*T2^7 - 15*T1^8*T2^7 + 3*T1^4*T2^8 - 
      15*T1^5*T2^8 + 21*T1^6*T2^8 - 15*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[7, 7] -> 
  {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   (-2 + 10*T1 - 18*T1^2 + 10*T1^3 - 2*T1^4 + 10*T2 - 45*T1*T2 + 65*T1^2*T2 - 
     5*T1^3*T2 - 15*T1^4*T2 + 5*T1^5*T2 - 18*T2^2 + 65*T1*T2^2 - 
     36*T1^2*T2^2 - 140*T1^3*T2^2 + 108*T1^4*T2^2 - 25*T1^5*T2^2 + 10*T2^3 - 
     5*T1*T2^3 - 140*T1^2*T2^3 + 362*T1^3*T2^3 - 178*T1^4*T2^3 - 
     5*T1^5*T2^3 + 25*T1^6*T2^3 - 5*T1^7*T2^3 - 2*T2^4 - 15*T1*T2^4 + 
     108*T1^2*T2^4 - 178*T1^3*T2^4 - 48*T1^4*T2^4 + 202*T1^5*T2^4 - 
     106*T1^6*T2^4 + 15*T1^7*T2^4 + 2*T1^8*T2^4 + 5*T1*T2^5 - 25*T1^2*T2^5 - 
     5*T1^3*T2^5 + 202*T1^4*T2^5 - 338*T1^5*T2^5 + 130*T1^6*T2^5 + 
     5*T1^7*T2^5 - 10*T1^8*T2^5 + 25*T1^3*T2^6 - 106*T1^4*T2^6 + 
     130*T1^5*T2^6 + 38*T1^6*T2^6 - 65*T1^7*T2^6 + 18*T1^8*T2^6 - 
     5*T1^3*T2^7 + 15*T1^4*T2^7 + 5*T1^5*T2^7 - 65*T1^6*T2^7 + 45*T1^7*T2^7 - 
     10*T1^8*T2^7 + 2*T1^4*T2^8 - 10*T1^5*T2^8 + 18*T1^6*T2^8 - 
     10*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[8, 1] -> {-((3 - 7*T + 3*T^2)/T), 
   -((-18 + 40*T1 - 18*T1^2 + 40*T2 - 111*T1*T2 + 99*T1^2*T2 - 23*T1^3*T2 - 
      18*T2^2 + 99*T1*T2^2 - 132*T1^2*T2^2 - 27*T1^3*T2^2 + 36*T1^4*T2^2 - 
      23*T1*T2^3 - 27*T1^2*T2^3 + 183*T1^3*T2^3 - 86*T1^4*T2^3 + 
      36*T1^2*T2^4 - 86*T1^3*T2^4 + 36*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[8, 2] -> {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((-1 + 3*T1 - 3*T1^2 + 3*T1^3 - 3*T1^4 + 3*T1^5 - T1^6 + 3*T2 - 9*T1*T2 + 
      9*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 9*T1^5*T2 + 3*T1^6*T2 - 3*T2^2 + 
      9*T1*T2^2 - 6*T1^2*T2^2 + 2*T1^3*T2^2 - 2*T1^4*T2^2 + 2*T1^5*T2^2 + 
      6*T1^6*T2^2 - 9*T1^7*T2^2 + 3*T1^8*T2^2 + 3*T2^3 - 9*T1*T2^3 + 
      2*T1^2*T2^3 + 6*T1^3*T2^3 - 12*T1^6*T2^3 + 11*T1^7*T2^3 + 9*T1^8*T2^3 - 
      6*T1^9*T2^3 - 3*T2^4 + 9*T1*T2^4 - 2*T1^2*T2^4 - 12*T1^4*T2^4 + 
      2*T1^5*T2^4 + 12*T1^6*T2^4 - 20*T1^8*T2^4 - 9*T1^9*T2^4 + 
      9*T1^10*T2^4 + 3*T2^5 - 9*T1*T2^5 + 2*T1^2*T2^5 + 2*T1^4*T2^5 + 
      21*T1^5*T2^5 - 27*T1^6*T2^5 + 11*T1^7*T2^5 + 29*T1^9*T2^5 + 
      9*T1^10*T2^5 - 12*T1^11*T2^5 - T2^6 + 3*T1*T2^6 + 6*T1^2*T2^6 - 
      12*T1^3*T2^6 + 12*T1^4*T2^6 - 27*T1^5*T2^6 + 27*T1^7*T2^6 - 
      42*T1^8*T2^6 + 24*T1^9*T2^6 - 66*T1^10*T2^6 + 21*T1^11*T2^6 + 
      5*T1^12*T2^6 - 9*T1^2*T2^7 + 11*T1^3*T2^7 + 11*T1^5*T2^7 + 
      27*T1^6*T2^7 - 21*T1^7*T2^7 + 20*T1^8*T2^7 + 38*T1^10*T2^7 + 
      9*T1^11*T2^7 - 15*T1^12*T2^7 + 3*T1^2*T2^8 + 9*T1^3*T2^8 - 
      20*T1^4*T2^8 - 42*T1^6*T2^8 + 20*T1^7*T2^8 - 18*T1^8*T2^8 - 
      38*T1^10*T2^8 - 9*T1^11*T2^8 + 15*T1^12*T2^8 - 6*T1^3*T2^9 - 
      9*T1^4*T2^9 + 29*T1^5*T2^9 + 24*T1^6*T2^9 + 6*T1^9*T2^9 + 
      38*T1^10*T2^9 + 9*T1^11*T2^9 - 15*T1^12*T2^9 + 9*T1^4*T2^10 + 
      9*T1^5*T2^10 - 66*T1^6*T2^10 + 38*T1^7*T2^10 - 38*T1^8*T2^10 + 
      38*T1^9*T2^10 - 54*T1^10*T2^10 - 9*T1^11*T2^10 + 15*T1^12*T2^10 - 
      12*T1^5*T2^11 + 21*T1^6*T2^11 + 9*T1^7*T2^11 - 9*T1^8*T2^11 + 
      9*T1^9*T2^11 - 9*T1^10*T2^11 + 33*T1^11*T2^11 - 15*T1^12*T2^11 + 
      5*T1^6*T2^12 - 15*T1^7*T2^12 + 15*T1^8*T2^12 - 15*T1^9*T2^12 + 
      15*T1^10*T2^12 - 15*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[8, 3] -> {-((4 - 9*T + 4*T^2)/T), 
   (-4*(4 - 9*T1 + 4*T1^2)*(1 + T1*T2)*(4 - 9*T2 + 4*T2^2))/(T1^3*T2^2)}, 
 Knot[8, 4] -> {-((2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4)/T^2), 
   -((-9 + 23*T1 - 23*T1^2 + 23*T1^3 - 9*T1^4 + 23*T2 - 56*T1*T2 + 
      50*T1^2*T2 - 50*T1^3*T2 + 14*T1^4*T2 + 3*T1^5*T2 - 23*T2^2 + 
      50*T1*T2^2 - 22*T1^2*T2^2 + 10*T1^3*T2^2 + 38*T1^4*T2^2 - 
      50*T1^5*T2^2 + 17*T1^6*T2^2 + 23*T2^3 - 50*T1*T2^3 + 10*T1^2*T2^3 - 
      T1^3*T2^3 - 41*T1^4*T2^3 + 35*T1^5*T2^3 + 50*T1^6*T2^3 - 37*T1^7*T2^3 - 
      9*T2^4 + 14*T1*T2^4 + 38*T1^2*T2^4 - 41*T1^3*T2^4 + 24*T1^4*T2^4 + 
      29*T1^5*T2^4 - 132*T1^6*T2^4 + 34*T1^7*T2^4 + 23*T1^8*T2^4 + 
      3*T1*T2^5 - 50*T1^2*T2^5 + 35*T1^3*T2^5 + 29*T1^4*T2^5 - 11*T1^5*T2^5 + 
      60*T1^6*T2^5 + 50*T1^7*T2^5 - 57*T1^8*T2^5 + 17*T1^2*T2^6 + 
      50*T1^3*T2^6 - 132*T1^4*T2^6 + 60*T1^5*T2^6 - 72*T1^6*T2^6 - 
      50*T1^7*T2^6 + 57*T1^8*T2^6 - 37*T1^3*T2^7 + 34*T1^4*T2^7 + 
      50*T1^5*T2^7 - 50*T1^6*T2^7 + 104*T1^7*T2^7 - 57*T1^8*T2^7 + 
      23*T1^4*T2^8 - 57*T1^5*T2^8 + 57*T1^6*T2^8 - 57*T1^7*T2^8 + 
      23*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[8, 5] -> {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   -((-5 + 15*T1 - 20*T1^2 + 25*T1^3 - 20*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 + 24*T1^2*T2 - 27*T1^3*T2 + 3*T1^5*T2 - 21*T1^6*T2 + 
      12*T1^7*T2 - 20*T2^2 + 24*T1*T2^2 + 17*T1^2*T2^2 - 12*T1^3*T2^2 + 
      55*T1^4*T2^2 - 28*T1^5*T2^2 + 41*T1^6*T2^2 - 12*T1^8*T2^2 + 25*T2^3 - 
      27*T1*T2^3 - 12*T1^2*T2^3 - 21*T1^3*T2^3 - 25*T1^4*T2^3 - 
      22*T1^5*T2^3 - 15*T1^6*T2^3 - 24*T1^7*T2^3 + 6*T1^8*T2^3 + 
      10*T1^9*T2^3 - 20*T2^4 + 55*T1^2*T2^4 - 25*T1^3*T2^4 + 85*T1^4*T2^4 - 
      31*T1^5*T2^4 + 73*T1^6*T2^4 - 15*T1^7*T2^4 + 29*T1^8*T2^4 - 
      18*T1^9*T2^4 - 4*T1^10*T2^4 + 15*T2^5 + 3*T1*T2^5 - 28*T1^2*T2^5 - 
      22*T1^3*T2^5 - 31*T1^4*T2^5 - 17*T1^5*T2^5 - 29*T1^6*T2^5 - 
      15*T1^7*T2^5 - 11*T1^8*T2^5 + 12*T1^10*T2^5 - 5*T2^6 - 21*T1*T2^6 + 
      41*T1^2*T2^6 - 15*T1^3*T2^6 + 73*T1^4*T2^6 - 29*T1^5*T2^6 + 
      48*T1^6*T2^6 - 3*T1^7*T2^6 + 13*T1^8*T2^6 + 3*T1^9*T2^6 - 
      11*T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 12*T1*T2^7 - 24*T1^3*T2^7 - 
      15*T1^4*T2^7 - 15*T1^5*T2^7 - 3*T1^6*T2^7 - 15*T1^7*T2^7 + T1^8*T2^7 - 
      4*T1^9*T2^7 + 4*T1^10*T2^7 + 9*T1^11*T2^7 - 3*T1^12*T2^7 - 
      12*T1^2*T2^8 + 6*T1^3*T2^8 + 29*T1^4*T2^8 - 11*T1^5*T2^8 + 
      13*T1^6*T2^8 + T1^7*T2^8 + T1^8*T2^8 - T1^9*T2^8 + 3*T1^10*T2^8 - 
      12*T1^11*T2^8 + 4*T1^12*T2^8 + 10*T1^3*T2^9 - 18*T1^4*T2^9 + 
      3*T1^6*T2^9 - 4*T1^7*T2^9 - T1^8*T2^9 + 9*T1^9*T2^9 - 12*T1^10*T2^9 + 
      15*T1^11*T2^9 - 5*T1^12*T2^9 - 4*T1^4*T2^10 + 12*T1^5*T2^10 - 
      11*T1^6*T2^10 + 4*T1^7*T2^10 + 3*T1^8*T2^10 - 12*T1^9*T2^10 + 
      13*T1^10*T2^10 - 12*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^6*T2^11 + 
      9*T1^7*T2^11 - 12*T1^8*T2^11 + 15*T1^9*T2^11 - 12*T1^10*T2^11 + 
      9*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      4*T1^8*T2^12 - 5*T1^9*T2^12 + 4*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[8, 6] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((-7 + 21*T1 - 25*T1^2 + 21*T1^3 - 7*T1^4 + 21*T2 - 66*T1*T2 + 
      84*T1^2*T2 - 72*T1^3*T2 + 30*T1^4*T2 - 3*T1^5*T2 - 25*T2^2 + 
      84*T1*T2^2 - 91*T1^2*T2^2 + 27*T1^3*T2^2 + 49*T1^4*T2^2 - 
      84*T1^5*T2^2 + 31*T1^6*T2^2 + 21*T2^3 - 72*T1*T2^3 + 27*T1^2*T2^3 + 
      108*T1^3*T2^3 - 150*T1^4*T2^3 + 111*T1^5*T2^3 + 60*T1^6*T2^3 - 
      51*T1^7*T2^3 - 7*T2^4 + 30*T1*T2^4 + 49*T1^2*T2^4 - 150*T1^3*T2^4 + 
      12*T1^4*T2^4 + 114*T1^5*T2^4 - 271*T1^6*T2^4 + 78*T1^7*T2^4 + 
      25*T1^8*T2^4 - 3*T1*T2^5 - 84*T1^2*T2^5 + 111*T1^3*T2^5 + 
      114*T1^4*T2^5 - 144*T1^5*T2^5 + 195*T1^6*T2^5 + 48*T1^7*T2^5 - 
      75*T1^8*T2^5 + 31*T1^2*T2^6 + 60*T1^3*T2^6 - 271*T1^4*T2^6 + 
      195*T1^5*T2^6 - 131*T1^6*T2^6 - 108*T1^7*T2^6 + 87*T1^8*T2^6 - 
      51*T1^3*T2^7 + 78*T1^4*T2^7 + 48*T1^5*T2^7 - 108*T1^6*T2^7 + 
      174*T1^7*T2^7 - 75*T1^8*T2^7 + 25*T1^4*T2^8 - 75*T1^5*T2^8 + 
      87*T1^6*T2^8 - 75*T1^7*T2^8 + 25*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[8, 7] -> {(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6)/T^3, 
   (-4 + 12*T1 - 20*T1^2 + 20*T1^3 - 20*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 33*T1^2*T2 - 15*T1^3*T2 + 15*T1^4*T2 + 9*T1^5*T2 - 
     15*T1^6*T2 + 9*T1^7*T2 - 20*T2^2 + 33*T1*T2^2 - 29*T1^2*T2^2 - 
     7*T1^3*T2^2 - 11*T1^4*T2^2 - 27*T1^5*T2^2 + 11*T1^6*T2^2 + 3*T1^7*T2^2 - 
     10*T1^8*T2^2 + 20*T2^3 - 15*T1*T2^3 - 7*T1^2*T2^3 + 46*T1^3*T2^3 + 
     4*T1^4*T2^3 + 34*T1^5*T2^3 + 16*T1^6*T2^3 - 22*T1^7*T2^3 + 
     15*T1^8*T2^3 + 5*T1^9*T2^3 - 20*T2^4 + 15*T1*T2^4 - 11*T1^2*T2^4 + 
     4*T1^3*T2^4 - 76*T1^4*T2^4 + 24*T1^5*T2^4 - 56*T1^6*T2^4 + 
     24*T1^7*T2^4 - T1^8*T2^4 - 15*T1^9*T2^4 + 12*T2^5 + 9*T1*T2^5 - 
     27*T1^2*T2^5 + 34*T1^3*T2^5 + 24*T1^4*T2^5 + 37*T1^5*T2^5 - 
     13*T1^6*T2^5 + 19*T1^7*T2^5 - 16*T1^8*T2^5 + 8*T1^9*T2^5 + 
     9*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 + 11*T1^2*T2^6 + 
     16*T1^3*T2^6 - 56*T1^4*T2^6 - 13*T1^5*T2^6 + 13*T1^7*T2^6 - 
     6*T1^8*T2^6 + 16*T1^9*T2^6 - 17*T1^10*T2^6 + 3*T1^11*T2^6 + 
     2*T1^12*T2^6 + 9*T1*T2^7 + 3*T1^2*T2^7 - 22*T1^3*T2^7 + 24*T1^4*T2^7 + 
     19*T1^5*T2^7 + 13*T1^6*T2^7 - 37*T1^7*T2^7 + 14*T1^8*T2^7 - 
     26*T1^9*T2^7 + 13*T1^10*T2^7 + 3*T1^11*T2^7 - 6*T1^12*T2^7 - 
     10*T1^2*T2^8 + 15*T1^3*T2^8 - T1^4*T2^8 - 16*T1^5*T2^8 - 6*T1^6*T2^8 + 
     14*T1^7*T2^8 + 14*T1^8*T2^8 + 4*T1^9*T2^8 + 9*T1^10*T2^8 - 
     15*T1^11*T2^8 + 10*T1^12*T2^8 + 5*T1^3*T2^9 - 15*T1^4*T2^9 + 
     8*T1^5*T2^9 + 16*T1^6*T2^9 - 26*T1^7*T2^9 + 4*T1^8*T2^9 - 14*T1^9*T2^9 - 
     7*T1^10*T2^9 + 15*T1^11*T2^9 - 10*T1^12*T2^9 + 9*T1^5*T2^10 - 
     17*T1^6*T2^10 + 13*T1^7*T2^10 + 9*T1^8*T2^10 - 7*T1^9*T2^10 + 
     23*T1^10*T2^10 - 21*T1^11*T2^10 + 10*T1^12*T2^10 - 3*T1^5*T2^11 + 
     3*T1^6*T2^11 + 3*T1^7*T2^11 - 15*T1^8*T2^11 + 15*T1^9*T2^11 - 
     21*T1^10*T2^11 + 15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 
     6*T1^7*T2^12 + 10*T1^8*T2^12 - 10*T1^9*T2^12 + 10*T1^10*T2^12 - 
     6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[8, 8] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-17 + 51*T1 - 77*T1^2 + 51*T1^3 - 17*T1^4 + 51*T2 - 126*T1*T2 + 
     150*T1^2*T2 - 30*T1^3*T2 - 30*T1^4*T2 + 27*T1^5*T2 - 77*T2^2 + 
     150*T1*T2^2 - 117*T1^2*T2^2 - 113*T1^3*T2^2 + 135*T1^4*T2^2 - 
     66*T1^5*T2^2 - 5*T1^6*T2^2 + 51*T2^3 - 30*T1*T2^3 - 113*T1^2*T2^3 + 
     336*T1^3*T2^3 - 186*T1^4*T2^3 - 5*T1^5*T2^3 + 78*T1^6*T2^3 - 
     21*T1^7*T2^3 - 17*T2^4 - 30*T1*T2^4 + 135*T1^2*T2^4 - 186*T1^3*T2^4 - 
     60*T1^4*T2^4 + 222*T1^5*T2^4 - 153*T1^6*T2^4 + 18*T1^7*T2^4 + 
     15*T1^8*T2^4 + 27*T1*T2^5 - 66*T1^2*T2^5 - 5*T1^3*T2^5 + 222*T1^4*T2^5 - 
     300*T1^5*T2^5 + 103*T1^6*T2^5 + 42*T1^7*T2^5 - 45*T1^8*T2^5 - 
     5*T1^2*T2^6 + 78*T1^3*T2^6 - 153*T1^4*T2^6 + 103*T1^5*T2^6 + 
     99*T1^6*T2^6 - 138*T1^7*T2^6 + 67*T1^8*T2^6 - 21*T1^3*T2^7 + 
     18*T1^4*T2^7 + 42*T1^5*T2^7 - 138*T1^6*T2^7 + 114*T1^7*T2^7 - 
     45*T1^8*T2^7 + 15*T1^4*T2^8 - 45*T1^5*T2^8 + 67*T1^6*T2^8 - 
     45*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[8, 9] -> {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -(((-1 + T1 - 2*T1^2 + T1^3)*(-1 + 2*T1 - T1^2 + T1^3)*(1 + T1*T2)*
      (-1 + T2 - 2*T2^2 + T2^3)*(-1 + 2*T2 - T2^2 + T2^3)*
      (3 - 6*T1*T2 + 8*T1^2*T2^2 - 6*T1^3*T2^3 + 3*T1^4*T2^4))/(T1^7*T2^6))}, 
 Knot[8, 10] -> {(1 - T + T^2)^3/T^3, 
   (-4 + 12*T1 - 24*T1^2 + 28*T1^3 - 24*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 45*T1^2*T2 - 30*T1^3*T2 + 9*T1^4*T2 + 18*T1^5*T2 - 
     15*T1^6*T2 + 9*T1^7*T2 - 24*T2^2 + 45*T1*T2^2 - 74*T1^2*T2^2 + 
     38*T1^3*T2^2 - 20*T1^4*T2^2 - 10*T1^5*T2^2 - 14*T1^6*T2^2 + 
     9*T1^7*T2^2 - 12*T1^8*T2^2 + 28*T2^3 - 30*T1*T2^3 + 38*T1^2*T2^3 + 
     35*T1^3*T2^3 - 23*T1^4*T2^3 + 22*T1^5*T2^3 + 41*T1^6*T2^3 - 
     16*T1^7*T2^3 + 15*T1^8*T2^3 + 7*T1^9*T2^3 - 24*T2^4 + 9*T1*T2^4 - 
     20*T1^2*T2^4 - 23*T1^3*T2^4 - 64*T1^4*T2^4 + 84*T1^5*T2^4 - 
     112*T1^6*T2^4 + 19*T1^7*T2^4 - 2*T1^8*T2^4 - 21*T1^9*T2^4 + 12*T2^5 + 
     18*T1*T2^5 - 10*T1^2*T2^5 + 22*T1^3*T2^5 + 84*T1^4*T2^5 - 75*T1^5*T2^5 + 
     45*T1^6*T2^5 + 48*T1^7*T2^5 - 29*T1^8*T2^5 + 20*T1^9*T2^5 + 
     9*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 - 14*T1^2*T2^6 + 
     41*T1^3*T2^6 - 112*T1^4*T2^6 + 45*T1^5*T2^6 + 36*T1^6*T2^6 - 
     81*T1^7*T2^6 + 32*T1^8*T2^6 - T1^9*T2^6 - 14*T1^10*T2^6 + 3*T1^11*T2^6 + 
     2*T1^12*T2^6 + 9*T1*T2^7 + 9*T1^2*T2^7 - 16*T1^3*T2^7 + 19*T1^4*T2^7 + 
     48*T1^5*T2^7 - 81*T1^6*T2^7 + 39*T1^7*T2^7 + 12*T1^8*T2^7 - 
     32*T1^9*T2^7 + 14*T1^10*T2^7 - 6*T1^12*T2^7 - 12*T1^2*T2^8 + 
     15*T1^3*T2^8 - 2*T1^4*T2^8 - 29*T1^5*T2^8 + 32*T1^6*T2^8 + 
     12*T1^7*T2^8 - 16*T1^8*T2^8 + 13*T1^9*T2^8 + 16*T1^10*T2^8 - 
     15*T1^11*T2^8 + 12*T1^12*T2^8 + 7*T1^3*T2^9 - 21*T1^4*T2^9 + 
     20*T1^5*T2^9 - T1^6*T2^9 - 32*T1^7*T2^9 + 13*T1^8*T2^9 + 5*T1^9*T2^9 - 
     34*T1^10*T2^9 + 24*T1^11*T2^9 - 14*T1^12*T2^9 + 9*T1^5*T2^10 - 
     14*T1^6*T2^10 + 14*T1^7*T2^10 + 16*T1^8*T2^10 - 34*T1^9*T2^10 + 
     46*T1^10*T2^10 - 27*T1^11*T2^10 + 12*T1^12*T2^10 - 3*T1^5*T2^11 + 
     3*T1^6*T2^11 - 15*T1^8*T2^11 + 24*T1^9*T2^11 - 27*T1^10*T2^11 + 
     15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
     12*T1^8*T2^12 - 14*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[8, 11] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((-7 + 25*T1 - 33*T1^2 + 25*T1^3 - 7*T1^4 + 25*T2 - 92*T1*T2 + 
      126*T1^2*T2 - 98*T1^3*T2 + 34*T1^4*T2 - 3*T1^5*T2 - 33*T2^2 + 
      126*T1*T2^2 - 141*T1^2*T2^2 + 17*T1^3*T2^2 + 111*T1^4*T2^2 - 
      126*T1^5*T2^2 + 39*T1^6*T2^2 + 25*T2^3 - 98*T1*T2^3 + 17*T1^2*T2^3 + 
      269*T1^3*T2^3 - 361*T1^4*T2^3 + 206*T1^5*T2^3 + 70*T1^6*T2^3 - 
      59*T1^7*T2^3 - 7*T2^4 + 34*T1*T2^4 + 111*T1^2*T2^4 - 361*T1^3*T2^4 + 
      132*T1^4*T2^4 + 213*T1^5*T2^4 - 431*T1^6*T2^4 + 118*T1^7*T2^4 + 
      25*T1^8*T2^4 - 3*T1*T2^5 - 126*T1^2*T2^5 + 206*T1^3*T2^5 + 
      213*T1^4*T2^5 - 417*T1^5*T2^5 + 395*T1^6*T2^5 + 42*T1^7*T2^5 - 
      87*T1^8*T2^5 + 39*T1^2*T2^6 + 70*T1^3*T2^6 - 431*T1^4*T2^6 + 
      395*T1^5*T2^6 - 179*T1^6*T2^6 - 182*T1^7*T2^6 + 111*T1^8*T2^6 - 
      59*T1^3*T2^7 + 118*T1^4*T2^7 + 42*T1^5*T2^7 - 182*T1^6*T2^7 + 
      244*T1^7*T2^7 - 87*T1^8*T2^7 + 25*T1^4*T2^8 - 87*T1^5*T2^8 + 
      111*T1^6*T2^8 - 87*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[8, 12] -> 
  {(1 - 7*T + 13*T^2 - 7*T^3 + T^4)/T^2, 
   ((1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4)*(1 + T1*T2)*
     (2 - 7*T1*T2 + 2*T1^2*T2^2)*(1 - 7*T2 + 13*T2^2 - 7*T2^3 + T2^4))/
    (T1^5*T2^4)}, Knot[8, 13] -> {(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4)/T^2, 
   (-17 + 59*T1 - 93*T1^2 + 59*T1^3 - 17*T1^4 + 59*T2 - 174*T1*T2 + 
     216*T1^2*T2 - 36*T1^3*T2 - 48*T1^4*T2 + 31*T1^5*T2 - 93*T2^2 + 
     216*T1*T2^2 - 150*T1^2*T2^2 - 238*T1^3*T2^2 + 246*T1^4*T2^2 - 
     92*T1^5*T2^2 - 5*T1^6*T2^2 + 59*T2^3 - 36*T1*T2^3 - 238*T1^2*T2^3 + 
     647*T1^3*T2^3 - 361*T1^4*T2^3 - 7*T1^5*T2^3 + 104*T1^6*T2^3 - 
     25*T1^7*T2^3 - 17*T2^4 - 48*T1*T2^4 + 246*T1^2*T2^4 - 361*T1^3*T2^4 - 
     84*T1^4*T2^4 + 409*T1^5*T2^4 - 264*T1^6*T2^4 + 36*T1^7*T2^4 + 
     15*T1^8*T2^4 + 31*T1*T2^5 - 92*T1^2*T2^5 - 7*T1^3*T2^5 + 409*T1^4*T2^5 - 
     599*T1^5*T2^5 + 224*T1^6*T2^5 + 48*T1^7*T2^5 - 53*T1^8*T2^5 - 
     5*T1^2*T2^6 + 104*T1^3*T2^6 - 264*T1^4*T2^6 + 224*T1^5*T2^6 + 
     132*T1^6*T2^6 - 204*T1^7*T2^6 + 83*T1^8*T2^6 - 25*T1^3*T2^7 + 
     36*T1^4*T2^7 + 48*T1^5*T2^7 - 204*T1^6*T2^7 + 162*T1^7*T2^7 - 
     53*T1^8*T2^7 + 15*T1^4*T2^8 - 53*T1^5*T2^8 + 83*T1^6*T2^8 - 
     53*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[8, 14] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((-7 + 29*T1 - 41*T1^2 + 29*T1^3 - 7*T1^4 + 29*T2 - 122*T1*T2 + 
      176*T1^2*T2 - 128*T1^3*T2 + 38*T1^4*T2 - 3*T1^5*T2 - 41*T2^2 + 
      176*T1*T2^2 - 208*T1^2*T2^2 + 4*T1^3*T2^2 + 188*T1^4*T2^2 - 
      176*T1^5*T2^2 + 47*T1^6*T2^2 + 29*T2^3 - 128*T1*T2^3 + 4*T1^2*T2^3 + 
      512*T1^3*T2^3 - 680*T1^4*T2^3 + 356*T1^5*T2^3 + 80*T1^6*T2^3 - 
      67*T1^7*T2^3 - 7*T2^4 + 38*T1*T2^4 + 188*T1^2*T2^4 - 680*T1^3*T2^4 + 
      336*T1^4*T2^4 + 344*T1^5*T2^4 - 660*T1^6*T2^4 + 166*T1^7*T2^4 + 
      25*T1^8*T2^4 - 3*T1*T2^5 - 176*T1^2*T2^5 + 356*T1^3*T2^5 + 
      344*T1^4*T2^5 - 848*T1^5*T2^5 + 708*T1^6*T2^5 + 32*T1^7*T2^5 - 
      99*T1^8*T2^5 + 47*T1^2*T2^6 + 80*T1^3*T2^6 - 660*T1^4*T2^6 + 
      708*T1^5*T2^6 - 264*T1^6*T2^6 - 272*T1^7*T2^6 + 135*T1^8*T2^6 - 
      67*T1^3*T2^7 + 166*T1^4*T2^7 + 32*T1^5*T2^7 - 272*T1^6*T2^7 + 
      326*T1^7*T2^7 - 99*T1^8*T2^7 + 25*T1^4*T2^8 - 99*T1^5*T2^8 + 
      135*T1^6*T2^8 - 99*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[8, 15] -> 
  {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (3 - 4*T1 + 5*T1^2 - 4*T1^3 + 3*T1^4 - 4*T2 - 72*T1*T2 + 191*T1^2*T2 - 
     265*T1^3*T2 + 192*T1^4*T2 - 76*T1^5*T2 + 5*T2^2 + 191*T1*T2^2 - 
     325*T1^2*T2^2 + 199*T1^3*T2^2 + 203*T1^4*T2^2 - 337*T1^5*T2^2 + 
     203*T1^6*T2^2 - 4*T2^3 - 265*T1*T2^3 + 199*T1^2*T2^3 + 208*T1^3*T2^3 - 
     672*T1^4*T2^3 + 375*T1^5*T2^3 + 47*T1^6*T2^3 - 220*T1^7*T2^3 + 3*T2^4 + 
     192*T1*T2^4 + 203*T1^2*T2^4 - 672*T1^3*T2^4 + 756*T1^4*T2^4 + 
     64*T1^5*T2^4 - 425*T1^6*T2^4 + 288*T1^7*T2^4 + 111*T1^8*T2^4 - 
     76*T1*T2^5 - 337*T1^2*T2^5 + 375*T1^3*T2^5 + 64*T1^4*T2^5 - 
     816*T1^5*T2^5 + 551*T1^6*T2^5 - 25*T1^7*T2^5 - 292*T1^8*T2^5 + 
     203*T1^2*T2^6 + 47*T1^3*T2^6 - 425*T1^4*T2^6 + 551*T1^5*T2^6 + 
     103*T1^6*T2^6 - 481*T1^7*T2^6 + 401*T1^8*T2^6 - 220*T1^3*T2^7 + 
     288*T1^4*T2^7 - 25*T1^5*T2^7 - 481*T1^6*T2^7 + 552*T1^7*T2^7 - 
     292*T1^8*T2^7 + 111*T1^4*T2^8 - 292*T1^5*T2^8 + 401*T1^6*T2^8 - 
     292*T1^7*T2^8 + 111*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[8, 16] -> {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 16*T1^2 + 18*T1^3 - 16*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 48*T1^2*T2 - 40*T1^3*T2 + 28*T1^4*T2 - 8*T1^6*T2 + 
     4*T1^7*T2 - 16*T2^2 + 48*T1*T2^2 - 66*T1^2*T2^2 + 22*T1^3*T2^2 + 
     6*T1^4*T2^2 - 58*T1^5*T2^2 + 46*T1^6*T2^2 - 16*T1^7*T2^2 + 18*T2^3 - 
     40*T1*T2^3 + 22*T1^2*T2^3 + 75*T1^3*T2^3 - 97*T1^4*T2^3 + 
     123*T1^5*T2^3 - 39*T1^6*T2^3 - 34*T1^7*T2^3 + 36*T1^8*T2^3 - 
     9*T1^9*T2^3 - 16*T2^4 + 28*T1*T2^4 + 6*T1^2*T2^4 - 97*T1^3*T2^4 + 
     58*T1^4*T2^4 - 26*T1^5*T2^4 - 78*T1^6*T2^4 + 119*T1^7*T2^4 - 
     26*T1^8*T2^4 - 28*T1^9*T2^4 + 16*T1^10*T2^4 + 8*T2^5 - 58*T1^2*T2^5 + 
     123*T1^3*T2^5 - 26*T1^4*T2^5 - 58*T1^5*T2^5 + 114*T1^6*T2^5 - 
     90*T1^7*T2^5 - 105*T1^8*T2^5 + 94*T1^9*T2^5 - 16*T1^10*T2^5 - 
     12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 46*T1^2*T2^6 - 39*T1^3*T2^6 - 
     78*T1^4*T2^6 + 114*T1^5*T2^6 + 12*T1^6*T2^6 - 102*T1^7*T2^6 + 
     290*T1^8*T2^6 - 93*T1^9*T2^6 - 34*T1^10*T2^6 + 32*T1^11*T2^6 + 
     4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 - 34*T1^3*T2^7 + 119*T1^4*T2^7 - 
     90*T1^5*T2^7 - 102*T1^6*T2^7 + 70*T1^7*T2^7 - 154*T1^8*T2^7 - 
     109*T1^9*T2^7 + 118*T1^10*T2^7 - 32*T1^11*T2^7 - 16*T1^12*T2^7 + 
     36*T1^3*T2^8 - 26*T1^4*T2^8 - 105*T1^5*T2^8 + 290*T1^6*T2^8 - 
     154*T1^7*T2^8 + 154*T1^8*T2^8 + 111*T1^9*T2^8 - 58*T1^10*T2^8 - 
     20*T1^11*T2^8 + 32*T1^12*T2^8 - 9*T1^3*T2^9 - 28*T1^4*T2^9 + 
     94*T1^5*T2^9 - 93*T1^6*T2^9 - 109*T1^7*T2^9 + 111*T1^8*T2^9 - 
     207*T1^9*T2^9 + 38*T1^10*T2^9 + 48*T1^11*T2^9 - 36*T1^12*T2^9 + 
     16*T1^4*T2^10 - 16*T1^5*T2^10 - 34*T1^6*T2^10 + 118*T1^7*T2^10 - 
     58*T1^8*T2^10 + 38*T1^9*T2^10 + 78*T1^10*T2^10 - 80*T1^11*T2^10 + 
     32*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 - 32*T1^7*T2^11 - 
     20*T1^8*T2^11 + 48*T1^9*T2^11 - 80*T1^10*T2^11 + 52*T1^11*T2^11 - 
     16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 32*T1^8*T2^12 - 
     36*T1^9*T2^12 + 32*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[8, 17] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 
   -(((1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6)*(1 + T1*T2)*
      (1 - T1*T2 + T1^2*T2^2)*(3 - 5*T1*T2 + 3*T1^2*T2^2)*
      (1 - 4*T2 + 8*T2^2 - 11*T2^3 + 8*T2^4 - 4*T2^5 + T2^6))/(T1^7*T2^6))}, 
 Knot[8, 18] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -(((1 - 3*T1 + T1^2)*(1 - T1 + T1^2)^2*(1 + T1*T2)*(1 - 3*T2 + T2^2)*
      (1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*(3 - 7*T1*T2 + 3*T1^2*T2^2))/
     (T1^7*T2^6))}, Knot[8, 19] -> {((1 - T + T^2)*(1 - T^2 + T^4))/T^3, 
   (-6 + 6*T1 - 6*T1^3 + 6*T1^5 - 6*T1^6 + 6*T2 - T1*T2 - 5*T1^2*T2 + 
     6*T1^3*T2 + 5*T1^4*T2 - 6*T1^5*T2 + T1^6*T2 + 5*T1^7*T2 - 5*T1*T2^2 + 
     5*T1^2*T2^2 - 5*T1^4*T2^2 + 5*T1^6*T2^2 - 5*T1^7*T2^2 - 6*T2^3 + 
     6*T1*T2^3 - 7*T1^3*T2^3 + 2*T1^4*T2^3 + 5*T1^5*T2^3 - 7*T1^6*T2^3 + 
     3*T1^8*T2^3 - 3*T1^9*T2^3 + 5*T1*T2^4 - 5*T1^2*T2^4 + 2*T1^3*T2^4 + 
     3*T1^4*T2^4 - T1^5*T2^4 - T1^6*T2^4 + 4*T1^7*T2^4 - 3*T1^8*T2^4 + 
     3*T1^9*T2^4 + 6*T2^5 - 6*T1*T2^5 + 5*T1^3*T2^5 - T1^4*T2^5 - 
     5*T1^5*T2^5 + 5*T1^6*T2^5 - T1^7*T2^5 - T1^10*T2^5 + T1^11*T2^5 - 
     6*T2^6 + T1*T2^6 + 5*T1^2*T2^6 - 7*T1^3*T2^6 - T1^4*T2^6 + 5*T1^5*T2^6 - 
     5*T1^7*T2^6 + 3*T1^8*T2^6 - T1^9*T2^6 + T1^10*T2^6 - T1^11*T2^6 + 
     5*T1*T2^7 - 5*T1^2*T2^7 + 4*T1^4*T2^7 - T1^5*T2^7 - 5*T1^6*T2^7 + 
     5*T1^7*T2^7 - T1^8*T2^7 - T1^9*T2^7 + 3*T1^3*T2^8 - 3*T1^4*T2^8 + 
     3*T1^6*T2^8 - T1^7*T2^8 - T1^8*T2^8 + 2*T1^9*T2^8 - T1^10*T2^8 + 
     T1^11*T2^8 - 3*T1^3*T2^9 + 3*T1^4*T2^9 - T1^6*T2^9 - T1^7*T2^9 + 
     2*T1^8*T2^9 - T1^9*T2^9 - T1^5*T2^10 + T1^6*T2^10 - T1^8*T2^10 + 
     T1^10*T2^10 - T1^11*T2^10 + T1^5*T2^11 - T1^6*T2^11 + T1^8*T2^11 - 
     T1^10*T2^11 + T1^11*T2^11)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[8, 20] -> {(1 - T + T^2)^2/T^2, 
   (2*(-1 + 2*T1 - 3*T1^2 + 2*T1^3 - T1^4 + 2*T2 - 3*T1*T2 + 4*T1^2*T2 - 
      T1^3*T2 + T1^5*T2 - 3*T2^2 + 4*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^3*T2^2 + 
      4*T1^4*T2^2 - 2*T1^5*T2^2 + 2*T2^3 - T1*T2^3 - 4*T1^2*T2^3 + 
      5*T1^3*T2^3 - T1^4*T2^3 - 4*T1^5*T2^3 + 2*T1^6*T2^3 - T1^7*T2^3 - 
      T2^4 + 4*T1^2*T2^4 - T1^3*T2^4 + 3*T1^5*T2^4 + 2*T1^6*T2^4 + 
      T1^8*T2^4 + T1*T2^5 - 2*T1^2*T2^5 - 4*T1^3*T2^5 + 3*T1^4*T2^5 - 
      3*T1^5*T2^5 - 4*T1^6*T2^5 + T1^7*T2^5 - 2*T1^8*T2^5 + 2*T1^3*T2^6 + 
      2*T1^4*T2^6 - 4*T1^5*T2^6 + 8*T1^6*T2^6 - 4*T1^7*T2^6 + 3*T1^8*T2^6 - 
      T1^3*T2^7 + T1^5*T2^7 - 4*T1^6*T2^7 + 3*T1^7*T2^7 - 2*T1^8*T2^7 + 
      T1^4*T2^8 - 2*T1^5*T2^8 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[8, 21] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((-1 + 4*T1 - 5*T1^2 + 4*T1^3 - T1^4 + 4*T2 - 16*T1*T2 + 21*T1^2*T2 - 
      15*T1^3*T2 + 4*T1^4*T2 - 5*T2^2 + 21*T1*T2^2 - 25*T1^2*T2^2 + 
      T1^3*T2^2 + 15*T1^4*T2^2 - 19*T1^5*T2^2 + 5*T1^6*T2^2 + 4*T2^3 - 
      15*T1*T2^3 + T1^2*T2^3 + 60*T1^3*T2^3 - 60*T1^4*T2^3 + 41*T1^5*T2^3 + 
      13*T1^6*T2^3 - 8*T1^7*T2^3 - T2^4 + 4*T1*T2^4 + 15*T1^2*T2^4 - 
      60*T1^3*T2^4 - 12*T1^4*T2^4 + 52*T1^5*T2^4 - 93*T1^6*T2^4 + 
      20*T1^7*T2^4 + 3*T1^8*T2^4 - 19*T1^2*T2^5 + 41*T1^3*T2^5 + 
      52*T1^4*T2^5 - 68*T1^5*T2^5 + 81*T1^6*T2^5 + 9*T1^7*T2^5 - 
      12*T1^8*T2^5 + 5*T1^2*T2^6 + 13*T1^3*T2^6 - 93*T1^4*T2^6 + 
      81*T1^5*T2^6 - 53*T1^6*T2^6 - 27*T1^7*T2^6 + 15*T1^8*T2^6 - 
      8*T1^3*T2^7 + 20*T1^4*T2^7 + 9*T1^5*T2^7 - 27*T1^6*T2^7 + 
      40*T1^7*T2^7 - 12*T1^8*T2^7 + 3*T1^4*T2^8 - 12*T1^5*T2^8 + 
      15*T1^6*T2^8 - 12*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 1] -> {((1 - T + T^2)*(1 - T^3 + T^6))/T^4, 
   (-1 + T1 - T1^2 + T1^3 - T1^4 + T1^5 - T1^6 + T1^7 - T1^8 + T2 - T1^8*T2 + 
     2*T1^9*T2 - T2^2 - 2*T1^2*T2^2 + 2*T1^3*T2^2 - 2*T1^4*T2^2 + 
     2*T1^5*T2^2 - 2*T1^6*T2^2 + 2*T1^7*T2^2 - T1^8*T2^2 + T1^9*T2^2 - 
     3*T1^10*T2^2 + T2^3 + 2*T1^2*T2^3 - 2*T1^8*T2^3 + 2*T1^9*T2^3 - 
     T1^10*T2^3 + 4*T1^11*T2^3 - T2^4 - 2*T1^2*T2^4 - 3*T1^4*T2^4 + 
     3*T1^5*T2^4 - 3*T1^6*T2^4 + 3*T1^7*T2^4 - T1^8*T2^4 + 2*T1^9*T2^4 - 
     3*T1^10*T2^4 + T1^11*T2^4 - 5*T1^12*T2^4 + T2^5 + 2*T1^2*T2^5 + 
     3*T1^4*T2^5 - 3*T1^8*T2^5 + 2*T1^9*T2^5 - 2*T1^10*T2^5 + 4*T1^11*T2^5 - 
     T1^12*T2^5 + 6*T1^13*T2^5 - T2^6 - 2*T1^2*T2^6 - 3*T1^4*T2^6 - 
     4*T1^6*T2^6 + 4*T1^7*T2^6 - T1^8*T2^6 + 3*T1^9*T2^6 - 3*T1^10*T2^6 + 
     2*T1^11*T2^6 - 5*T1^12*T2^6 + T1^13*T2^6 - 7*T1^14*T2^6 + T2^7 + 
     2*T1^2*T2^7 + 3*T1^4*T2^7 + 4*T1^6*T2^7 - 4*T1^8*T2^7 + 2*T1^9*T2^7 - 
     3*T1^10*T2^7 + 4*T1^11*T2^7 - 2*T1^12*T2^7 + 6*T1^13*T2^7 - T1^14*T2^7 + 
     8*T1^15*T2^7 - T2^8 - T1*T2^8 - T1^2*T2^8 - 2*T1^3*T2^8 - T1^4*T2^8 - 
     3*T1^5*T2^8 - T1^6*T2^8 - 4*T1^7*T2^8 + 4*T1^8*T2^8 - 2*T1^9*T2^8 + 
     3*T1^10*T2^8 - 4*T1^11*T2^8 + 2*T1^12*T2^8 - 6*T1^13*T2^8 + T1^14*T2^8 - 
     8*T1^15*T2^8 + 2*T1*T2^9 + T1^2*T2^9 + 2*T1^3*T2^9 + 2*T1^4*T2^9 + 
     2*T1^5*T2^9 + 3*T1^6*T2^9 + 2*T1^7*T2^9 - 2*T1^8*T2^9 + 2*T1^9*T2^9 - 
     3*T1^10*T2^9 + 4*T1^11*T2^9 - 2*T1^12*T2^9 + 6*T1^13*T2^9 - T1^14*T2^9 + 
     8*T1^15*T2^9 - 3*T1^2*T2^10 - T1^3*T2^10 - 3*T1^4*T2^10 - 2*T1^5*T2^10 - 
     3*T1^6*T2^10 - 3*T1^7*T2^10 + 3*T1^8*T2^10 - 3*T1^9*T2^10 + 
     3*T1^10*T2^10 - 4*T1^11*T2^10 + 2*T1^12*T2^10 - 6*T1^13*T2^10 + 
     T1^14*T2^10 - 8*T1^15*T2^10 + 4*T1^3*T2^11 + T1^4*T2^11 + 4*T1^5*T2^11 + 
     2*T1^6*T2^11 + 4*T1^7*T2^11 - 4*T1^8*T2^11 + 4*T1^9*T2^11 - 
     4*T1^10*T2^11 + 4*T1^11*T2^11 - 2*T1^12*T2^11 + 6*T1^13*T2^11 - 
     T1^14*T2^11 + 8*T1^15*T2^11 - 5*T1^4*T2^12 - T1^5*T2^12 - 5*T1^6*T2^12 - 
     2*T1^7*T2^12 + 2*T1^8*T2^12 - 2*T1^9*T2^12 + 2*T1^10*T2^12 - 
     2*T1^11*T2^12 + 2*T1^12*T2^12 - 6*T1^13*T2^12 + T1^14*T2^12 - 
     8*T1^15*T2^12 + 6*T1^5*T2^13 + T1^6*T2^13 + 6*T1^7*T2^13 - 
     6*T1^8*T2^13 + 6*T1^9*T2^13 - 6*T1^10*T2^13 + 6*T1^11*T2^13 - 
     6*T1^12*T2^13 + 6*T1^13*T2^13 - T1^14*T2^13 + 8*T1^15*T2^13 - 
     7*T1^6*T2^14 - T1^7*T2^14 + T1^8*T2^14 - T1^9*T2^14 + T1^10*T2^14 - 
     T1^11*T2^14 + T1^12*T2^14 - T1^13*T2^14 + T1^14*T2^14 - 8*T1^15*T2^14 + 
     8*T1^7*T2^15 - 8*T1^8*T2^15 + 8*T1^9*T2^15 - 8*T1^10*T2^15 + 
     8*T1^11*T2^15 - 8*T1^12*T2^15 + 8*T1^13*T2^15 - 8*T1^14*T2^15 + 
     8*T1^15*T2^15)/(T1^8*T2^7*(-1 + T1*T2))}, 
 Knot[9, 2] -> {(4 - 7*T + 4*T^2)/T, 
   (2*(18 - 29*T1 + 18*T1^2 - 29*T2 - 38*T1*T2 + 116*T1^2*T2 - 85*T1^3*T2 + 
      18*T2^2 + 116*T1*T2^2 - 150*T1^2*T2^2 + 4*T1^3*T2^2 + 82*T1^4*T2^2 - 
      85*T1*T2^3 + 4*T1^2*T2^3 + 158*T1^3*T2^3 - 141*T1^4*T2^3 + 
      82*T1^2*T2^4 - 141*T1^3*T2^4 + 82*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[9, 3] -> 
  {(2 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 2*T^6)/T^3, 
   -((49 - 73*T1 + 73*T1^2 - 73*T1^3 + 73*T1^4 - 73*T1^5 + 49*T1^6 - 73*T2 + 
      48*T1*T2 - 18*T1^2*T2 + 18*T1^3*T2 - 18*T1^4*T2 + 18*T1^5*T2 + 
      18*T1^6*T2 - 61*T1^7*T2 + 73*T2^2 - 18*T1*T2^2 + 14*T1^2*T2^2 - 
      34*T1^3*T2^2 + 34*T1^4*T2^2 - 34*T1^5*T2^2 + 2*T1^6*T2^2 + 
      18*T1^7*T2^2 + 49*T1^8*T2^2 - 73*T2^3 + 18*T1*T2^3 - 34*T1^2*T2^3 + 
      39*T1^3*T2^3 - 27*T1^4*T2^3 + 27*T1^5*T2^3 + 3*T1^6*T2^3 - 
      25*T1^7*T2^3 - 18*T1^8*T2^3 - 37*T1^9*T2^3 + 73*T2^4 - 18*T1*T2^4 + 
      34*T1^2*T2^4 - 27*T1^3*T2^4 + 14*T1^4*T2^4 - 16*T1^5*T2^4 - 
      10*T1^6*T2^4 + 27*T1^7*T2^4 + 16*T1^8*T2^4 + 18*T1^9*T2^4 + 
      25*T1^10*T2^4 - 73*T2^5 + 18*T1*T2^5 - 34*T1^2*T2^5 + 27*T1^3*T2^5 - 
      16*T1^4*T2^5 + 30*T1^5*T2^5 - 12*T1^6*T2^5 - 7*T1^7*T2^5 - 
      27*T1^8*T2^5 - 7*T1^9*T2^5 - 18*T1^10*T2^5 - 13*T1^11*T2^5 + 49*T2^6 + 
      18*T1*T2^6 + 2*T1^2*T2^6 + 3*T1^3*T2^6 - 10*T1^4*T2^6 - 12*T1^5*T2^6 - 
      12*T1^6*T2^6 + 24*T1^7*T2^6 + 8*T1^8*T2^6 + 21*T1^9*T2^6 + 
      2*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 61*T1*T2^7 + 18*T1^2*T2^7 - 
      25*T1^3*T2^7 + 27*T1^4*T2^7 - 7*T1^5*T2^7 + 24*T1^6*T2^7 - 
      18*T1^7*T2^7 + 2*T1^8*T2^7 - 27*T1^9*T2^7 + 2*T1^10*T2^7 - 
      18*T1^11*T2^7 - T1^12*T2^7 + 49*T1^2*T2^8 - 18*T1^3*T2^8 + 
      16*T1^4*T2^8 - 27*T1^5*T2^8 + 8*T1^6*T2^8 + 2*T1^7*T2^8 - 
      16*T1^8*T2^8 + 27*T1^9*T2^8 - 2*T1^10*T2^8 + 18*T1^11*T2^8 + 
      T1^12*T2^8 - 37*T1^3*T2^9 + 18*T1^4*T2^9 - 7*T1^5*T2^9 + 21*T1^6*T2^9 - 
      27*T1^7*T2^9 + 27*T1^8*T2^9 - 15*T1^9*T2^9 + 2*T1^10*T2^9 - 
      18*T1^11*T2^9 - T1^12*T2^9 + 25*T1^4*T2^10 - 18*T1^5*T2^10 + 
      2*T1^6*T2^10 + 2*T1^7*T2^10 - 2*T1^8*T2^10 + 2*T1^9*T2^10 - 
      10*T1^10*T2^10 + 18*T1^11*T2^10 + T1^12*T2^10 - 13*T1^5*T2^11 + 
      18*T1^6*T2^11 - 18*T1^7*T2^11 + 18*T1^8*T2^11 - 18*T1^9*T2^11 + 
      18*T1^10*T2^11 - 12*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - 
      T1^7*T2^12 + T1^8*T2^12 - T1^9*T2^12 + T1^10*T2^12 - T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[9, 4] -> {(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4)/T^2, 
   (9 - 13*T1 + 13*T1^2 - 13*T1^3 + 9*T1^4 - 13*T2 - 39*T1*T2 + 75*T1^2*T2 - 
     75*T1^3*T2 + 81*T1^4*T2 - 58*T1^5*T2 + 13*T2^2 + 75*T1*T2^2 - 
     58*T1^2*T2^2 + 10*T1^3*T2^2 + 2*T1^4*T2^2 - 75*T1^5*T2^2 + 
     103*T1^6*T2^2 - 13*T2^3 - 75*T1*T2^3 + 10*T1^2*T2^3 - 34*T1^3*T2^3 + 
     76*T1^4*T2^3 - 15*T1^5*T2^3 + 75*T1^6*T2^3 - 148*T1^7*T2^3 + 9*T2^4 + 
     81*T1*T2^4 + 2*T1^2*T2^4 + 76*T1^3*T2^4 - 84*T1^4*T2^4 - 4*T1^5*T2^4 - 
     68*T1^6*T2^4 + 51*T1^7*T2^4 + 117*T1^8*T2^4 - 58*T1*T2^5 - 
     75*T1^2*T2^5 - 15*T1^3*T2^5 - 4*T1^4*T2^5 + 106*T1^5*T2^5 - 
     40*T1^6*T2^5 + 75*T1^7*T2^5 - 193*T1^8*T2^5 + 103*T1^2*T2^6 + 
     75*T1^3*T2^6 - 68*T1^4*T2^6 - 40*T1^5*T2^6 - 8*T1^6*T2^6 - 
     75*T1^7*T2^6 + 193*T1^8*T2^6 - 148*T1^3*T2^7 + 51*T1^4*T2^7 + 
     75*T1^5*T2^7 - 75*T1^6*T2^7 + 171*T1^7*T2^7 - 193*T1^8*T2^7 + 
     117*T1^4*T2^8 - 193*T1^5*T2^8 + 193*T1^6*T2^8 - 193*T1^7*T2^8 + 
     117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 5] -> {(6 - 11*T + 6*T^2)/T, 
   -((531 - 961*T1 + 531*T1^2 - 961*T2 + 1176*T1*T2 + 54*T1^2*T2 - 
      565*T1^3*T2 + 531*T2^2 + 54*T1*T2^2 - 1200*T1^2*T2^2 + 846*T1^3*T2^2 + 
      99*T1^4*T2^2 - 565*T1*T2^3 + 846*T1^2*T2^3 - 276*T1^3*T2^3 - 
      169*T1^4*T2^3 + 99*T1^2*T2^4 - 169*T1^3*T2^4 + 99*T1^4*T2^4)/
     (T1^3*T2^2*(-1 + T1*T2)))}, Knot[9, 6] -> 
  {((1 - T + T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   (1 - T1 + T1^2 - T1^3 + T1^4 - T1^5 + T1^6 - T2 - 16*T1*T2 + 32*T1^2*T2 - 
     40*T1^3*T2 + 40*T1^4*T2 - 40*T1^5*T2 + 32*T1^6*T2 - 17*T1^7*T2 + T2^2 + 
     32*T1*T2^2 - 32*T1^2*T2^2 + 16*T1^3*T2^2 - 4*T1^5*T2^2 + 28*T1^6*T2^2 - 
     48*T1^7*T2^2 + 41*T1^8*T2^2 - T2^3 - 40*T1*T2^3 + 16*T1^2*T2^3 - 
     16*T1^3*T2^3 + 28*T1^4*T2^3 - 42*T1^5*T2^3 + 14*T1^6*T2^3 - 
     14*T1^7*T2^3 + 40*T1^8*T2^3 - 61*T1^9*T2^3 + T2^4 + 40*T1*T2^4 + 
     28*T1^3*T2^4 - 24*T1^4*T2^4 + 2*T1^5*T2^4 + 56*T1^6*T2^4 - 
     52*T1^7*T2^4 + 40*T1^8*T2^4 - 40*T1^9*T2^4 + 81*T1^10*T2^4 - T2^5 - 
     40*T1*T2^5 - 4*T1^2*T2^5 - 42*T1^3*T2^5 + 2*T1^4*T2^5 + 13*T1^5*T2^5 - 
     37*T1^6*T2^5 - 3*T1^7*T2^5 + 8*T1^8*T2^5 - 14*T1^9*T2^5 - 
     81*T1^11*T2^5 + T2^6 + 32*T1*T2^6 + 28*T1^2*T2^6 + 14*T1^3*T2^6 + 
     56*T1^4*T2^6 - 37*T1^5*T2^6 + 36*T1^6*T2^6 + 9*T1^7*T2^6 + 6*T1^8*T2^6 + 
     14*T1^9*T2^6 - 8*T1^10*T2^6 + 64*T1^11*T2^6 + 49*T1^12*T2^6 - 
     17*T1*T2^7 - 48*T1^2*T2^7 - 14*T1^3*T2^7 - 52*T1^4*T2^7 - 3*T1^5*T2^7 + 
     9*T1^6*T2^7 - 41*T1^7*T2^7 - 8*T1^8*T2^7 - 2*T1^9*T2^7 - 24*T1^10*T2^7 - 
     8*T1^11*T2^7 - 97*T1^12*T2^7 + 41*T1^2*T2^8 + 40*T1^3*T2^8 + 
     40*T1^4*T2^8 + 8*T1^5*T2^8 + 6*T1^6*T2^8 - 8*T1^7*T2^8 + 86*T1^8*T2^8 - 
     72*T1^9*T2^8 + 80*T1^10*T2^8 - 40*T1^11*T2^8 + 121*T1^12*T2^8 - 
     61*T1^3*T2^9 - 40*T1^4*T2^9 - 14*T1^5*T2^9 + 14*T1^6*T2^9 - 
     2*T1^7*T2^9 - 72*T1^8*T2^9 + 44*T1^9*T2^9 - 44*T1^10*T2^9 + 
     40*T1^11*T2^9 - 121*T1^12*T2^9 + 81*T1^4*T2^10 - 8*T1^6*T2^10 - 
     24*T1^7*T2^10 + 80*T1^8*T2^10 - 44*T1^9*T2^10 + 52*T1^10*T2^10 - 
     80*T1^11*T2^10 + 121*T1^12*T2^10 - 81*T1^5*T2^11 + 64*T1^6*T2^11 - 
     8*T1^7*T2^11 - 40*T1^8*T2^11 + 40*T1^9*T2^11 - 80*T1^10*T2^11 + 
     112*T1^11*T2^11 - 97*T1^12*T2^11 + 49*T1^6*T2^12 - 97*T1^7*T2^12 + 
     121*T1^8*T2^12 - 121*T1^9*T2^12 + 121*T1^10*T2^12 - 97*T1^11*T2^12 + 
     49*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[9, 7] -> {(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4)/T^2, 
   (9 - 17*T1 + 21*T1^2 - 17*T1^3 + 9*T1^4 - 17*T2 - 47*T1*T2 + 139*T1^2*T2 - 
     197*T1^3*T2 + 163*T1^4*T2 - 80*T1^5*T2 + 21*T2^2 + 139*T1*T2^2 - 
     203*T1^2*T2^2 + 109*T1^3*T2^2 + 121*T1^4*T2^2 - 239*T1^5*T2^2 + 
     183*T1^6*T2^2 - 17*T2^3 - 197*T1*T2^3 + 109*T1^2*T2^3 + 92*T1^3*T2^3 - 
     286*T1^4*T2^3 + 172*T1^5*T2^3 + 55*T1^6*T2^3 - 206*T1^7*T2^3 + 9*T2^4 + 
     163*T1*T2^4 + 121*T1^2*T2^4 - 286*T1^3*T2^4 + 276*T1^4*T2^4 + 
     50*T1^5*T2^4 - 241*T1^6*T2^4 + 205*T1^7*T2^4 + 117*T1^8*T2^4 - 
     80*T1*T2^5 - 239*T1^2*T2^5 + 172*T1^3*T2^5 + 50*T1^4*T2^5 - 
     328*T1^5*T2^5 + 235*T1^6*T2^5 + 13*T1^7*T2^5 - 269*T1^8*T2^5 + 
     183*T1^2*T2^6 + 55*T1^3*T2^6 - 241*T1^4*T2^6 + 235*T1^5*T2^6 + 
     83*T1^6*T2^6 - 323*T1^7*T2^6 + 345*T1^8*T2^6 - 206*T1^3*T2^7 + 
     205*T1^4*T2^7 + 13*T1^5*T2^7 - 323*T1^6*T2^7 + 415*T1^7*T2^7 - 
     269*T1^8*T2^7 + 117*T1^4*T2^8 - 269*T1^5*T2^8 + 345*T1^6*T2^8 - 
     269*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 8] -> {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((-9 + 37*T1 - 51*T1^2 + 37*T1^3 - 9*T1^4 + 37*T2 - 148*T1*T2 + 
      186*T1^2*T2 - 118*T1^3*T2 + 12*T1^4*T2 + 5*T1^5*T2 - 51*T2^2 + 
      186*T1*T2^2 - 132*T1^2*T2^2 - 94*T1^3*T2^2 + 264*T1^4*T2^2 - 
      166*T1^5*T2^2 + 37*T1^6*T2^2 + 37*T2^3 - 118*T1*T2^3 - 94*T1^2*T2^3 + 
      538*T1^3*T2^3 - 654*T1^4*T2^3 + 258*T1^5*T2^3 + 90*T1^6*T2^3 - 
      59*T1^7*T2^3 - 9*T2^4 + 12*T1*T2^4 + 264*T1^2*T2^4 - 654*T1^3*T2^4 + 
      324*T1^4*T2^4 + 370*T1^5*T2^4 - 584*T1^6*T2^4 + 140*T1^7*T2^4 + 
      23*T1^8*T2^4 + 5*T1*T2^5 - 166*T1^2*T2^5 + 258*T1^3*T2^5 + 
      370*T1^4*T2^5 - 822*T1^5*T2^5 + 610*T1^6*T2^5 + 42*T1^7*T2^5 - 
      91*T1^8*T2^5 + 37*T1^2*T2^6 + 90*T1^3*T2^6 - 584*T1^4*T2^6 + 
      610*T1^5*T2^6 - 188*T1^6*T2^6 - 262*T1^7*T2^6 + 125*T1^8*T2^6 - 
      59*T1^3*T2^7 + 140*T1^4*T2^7 + 42*T1^5*T2^7 - 262*T1^6*T2^7 + 
      300*T1^7*T2^7 - 91*T1^8*T2^7 + 23*T1^4*T2^8 - 91*T1^5*T2^8 + 
      125*T1^6*T2^8 - 91*T1^7*T2^8 + 23*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[9, 9] -> 
  {(2 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + 2*T^6)/T^3, 
   (1 - T1 + T1^2 - T1^3 + T1^4 - T1^5 + T1^6 - T2 - 16*T1*T2 + 32*T1^2*T2 - 
     48*T1^3*T2 + 56*T1^4*T2 - 48*T1^5*T2 + 32*T1^6*T2 - 17*T1^7*T2 + T2^2 + 
     32*T1*T2^2 - 30*T1^2*T2^2 + 26*T1^3*T2^2 + 2*T1^4*T2^2 - 46*T1^5*T2^2 + 
     66*T1^6*T2^2 - 64*T1^7*T2^2 + 49*T1^8*T2^2 - T2^3 - 48*T1*T2^3 + 
     26*T1^2*T2^3 - 58*T1^3*T2^3 + 56*T1^4*T2^3 - 52*T1^5*T2^3 + 
     80*T1^6*T2^3 - 82*T1^7*T2^3 + 72*T1^8*T2^3 - 85*T1^9*T2^3 + T2^4 + 
     56*T1*T2^4 + 2*T1^2*T2^4 + 56*T1^3*T2^4 - 13*T1^4*T2^4 - 15*T1^5*T2^4 + 
     11*T1^6*T2^4 - 56*T1^7*T2^4 + 66*T1^8*T2^4 - 24*T1^9*T2^4 + 
     97*T1^10*T2^4 - T2^5 - 48*T1*T2^5 - 46*T1^2*T2^5 - 52*T1^3*T2^5 - 
     15*T1^4*T2^5 - 10*T1^5*T2^5 + 56*T1^6*T2^5 - 27*T1^7*T2^5 + 
     48*T1^8*T2^5 - 82*T1^9*T2^5 - 32*T1^10*T2^5 - 81*T1^11*T2^5 + T2^6 + 
     32*T1*T2^6 + 66*T1^2*T2^6 + 80*T1^3*T2^6 + 11*T1^4*T2^6 + 56*T1^5*T2^6 - 
     72*T1^6*T2^6 - 5*T1^8*T2^6 + 8*T1^9*T2^6 + 98*T1^10*T2^6 + 
     64*T1^11*T2^6 + 49*T1^12*T2^6 - 17*T1*T2^7 - 64*T1^2*T2^7 - 
     82*T1^3*T2^7 - 56*T1^4*T2^7 - 27*T1^5*T2^7 + 66*T1^7*T2^7 - 
     39*T1^8*T2^7 + 44*T1^9*T2^7 - 118*T1^10*T2^7 - 48*T1^11*T2^7 - 
     97*T1^12*T2^7 + 49*T1^2*T2^8 + 72*T1^3*T2^8 + 66*T1^4*T2^8 + 
     48*T1^5*T2^8 - 5*T1^6*T2^8 - 39*T1^7*T2^8 + 19*T1^8*T2^8 - 
     64*T1^9*T2^8 + 130*T1^10*T2^8 - 8*T1^11*T2^8 + 145*T1^12*T2^8 - 
     85*T1^3*T2^9 - 24*T1^4*T2^9 - 82*T1^5*T2^9 + 8*T1^6*T2^9 + 
     44*T1^7*T2^9 - 64*T1^8*T2^9 + 146*T1^9*T2^9 - 190*T1^10*T2^9 + 
     96*T1^11*T2^9 - 169*T1^12*T2^9 + 97*T1^4*T2^10 - 32*T1^5*T2^10 + 
     98*T1^6*T2^10 - 118*T1^7*T2^10 + 130*T1^8*T2^10 - 190*T1^9*T2^10 + 
     194*T1^10*T2^10 - 128*T1^11*T2^10 + 145*T1^12*T2^10 - 81*T1^5*T2^11 + 
     64*T1^6*T2^11 - 48*T1^7*T2^11 - 8*T1^8*T2^11 + 96*T1^9*T2^11 - 
     128*T1^10*T2^11 + 112*T1^11*T2^11 - 97*T1^12*T2^11 + 49*T1^6*T2^12 - 
     97*T1^7*T2^12 + 145*T1^8*T2^12 - 169*T1^9*T2^12 + 145*T1^10*T2^12 - 
     97*T1^11*T2^12 + 49*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[9, 10] -> {(4 - 8*T + 9*T^2 - 8*T^3 + 4*T^4)/T^2, 
   (-2*(136 - 268*T1 + 300*T1^2 - 268*T1^3 + 136*T1^4 - 268*T2 + 326*T1*T2 - 
      192*T1^2*T2 + 80*T1^3*T2 + 134*T1^4*T2 - 204*T1^5*T2 + 300*T2^2 - 
      192*T1*T2^2 - 5*T1^2*T2^2 + 47*T1^3*T2^2 - 185*T1^4*T2^2 + 
      96*T1^5*T2^2 + 156*T1^6*T2^2 - 268*T2^3 + 80*T1*T2^3 + 47*T1^2*T2^3 + 
      16*T1^3*T2^3 + 52*T1^4*T2^3 + 47*T1^5*T2^3 - 160*T1^6*T2^3 - 
      76*T1^7*T2^3 + 136*T2^4 + 134*T1*T2^4 - 185*T1^2*T2^4 + 52*T1^3*T2^4 - 
      72*T1^4*T2^4 - 12*T1^5*T2^4 + 39*T1^6*T2^4 + 134*T1^7*T2^4 + 
      8*T1^8*T2^4 - 204*T1*T2^5 + 96*T1^2*T2^5 + 47*T1^3*T2^5 - 
      12*T1^4*T2^5 + 24*T1^5*T2^5 + 47*T1^6*T2^5 - 144*T1^7*T2^5 - 
      12*T1^8*T2^5 + 156*T1^2*T2^6 - 160*T1^3*T2^6 + 39*T1^4*T2^6 + 
      47*T1^5*T2^6 - 141*T1^6*T2^6 + 128*T1^7*T2^6 + 12*T1^8*T2^6 - 
      76*T1^3*T2^7 + 134*T1^4*T2^7 - 144*T1^5*T2^7 + 128*T1^6*T2^7 - 
      58*T1^7*T2^7 - 12*T1^8*T2^7 + 8*T1^4*T2^8 - 12*T1^5*T2^8 + 
      12*T1^6*T2^8 - 12*T1^7*T2^8 + 8*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 11] -> {-((1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 35*T1^2 + 35*T1^3 - 35*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      105*T1*T2 + 75*T1^2*T2 - 35*T1^3*T2 + 35*T1^4*T2 + 15*T1^5*T2 - 
      75*T1^6*T2 + 20*T1^7*T2 - 35*T2^2 + 75*T1*T2^2 + 229*T1^2*T2^2 - 
      345*T1^3*T2^2 + 305*T1^4*T2^2 - 373*T1^5*T2^2 + 313*T1^6*T2^2 + 
      5*T1^7*T2^2 - 21*T1^8*T2^2 + 35*T2^3 - 35*T1*T2^3 - 345*T1^2*T2^3 + 
      238*T1^3*T2^3 - 80*T1^4*T2^3 + 158*T1^5*T2^3 - 14*T1^6*T2^3 - 
      282*T1^7*T2^3 + 35*T1^8*T2^3 + 14*T1^9*T2^3 - 35*T2^4 + 35*T1*T2^4 + 
      305*T1^2*T2^4 - 80*T1^3*T2^4 - 20*T1^4*T2^4 - 122*T1^5*T2^4 + 
      8*T1^6*T2^4 + 144*T1^7*T2^4 + 151*T1^8*T2^4 - 35*T1^9*T2^4 - 
      7*T1^10*T2^4 + 25*T2^5 + 15*T1*T2^5 - 373*T1^2*T2^5 + 158*T1^3*T2^5 - 
      122*T1^4*T2^5 + 287*T1^5*T2^5 - 137*T1^6*T2^5 - 45*T1^7*T2^5 - 
      108*T1^8*T2^5 - 72*T1^9*T2^5 + 35*T1^10*T2^5 - 5*T2^6 - 75*T1*T2^6 + 
      313*T1^2*T2^6 - 14*T1^3*T2^6 + 8*T1^4*T2^6 - 137*T1^5*T2^6 - 
      108*T1^6*T2^6 + 237*T1^7*T2^6 - 62*T1^8*T2^6 + 154*T1^9*T2^6 - 
      47*T1^10*T2^6 - 5*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 5*T1^2*T2^7 - 
      282*T1^3*T2^7 + 144*T1^4*T2^7 - 45*T1^5*T2^7 + 237*T1^6*T2^7 - 
      187*T1^7*T2^7 + 32*T1^8*T2^7 - 122*T1^9*T2^7 + 19*T1^10*T2^7 + 
      25*T1^11*T2^7 - 5*T1^12*T2^7 - 21*T1^2*T2^8 + 35*T1^3*T2^8 + 
      151*T1^4*T2^8 - 108*T1^5*T2^8 - 62*T1^6*T2^8 + 32*T1^7*T2^8 - 
      34*T1^8*T2^8 + 116*T1^9*T2^8 - 3*T1^10*T2^8 - 35*T1^11*T2^8 + 
      7*T1^12*T2^8 + 14*T1^3*T2^9 - 35*T1^4*T2^9 - 72*T1^5*T2^9 + 
      154*T1^6*T2^9 - 122*T1^7*T2^9 + 116*T1^8*T2^9 - 98*T1^9*T2^9 - 
      9*T1^10*T2^9 + 35*T1^11*T2^9 - 7*T1^12*T2^9 - 7*T1^4*T2^10 + 
      35*T1^5*T2^10 - 47*T1^6*T2^10 + 19*T1^7*T2^10 - 3*T1^8*T2^10 - 
      9*T1^9*T2^10 + 37*T1^10*T2^10 - 35*T1^11*T2^10 + 7*T1^12*T2^10 - 
      5*T1^6*T2^11 + 25*T1^7*T2^11 - 35*T1^8*T2^11 + 35*T1^9*T2^11 - 
      35*T1^10*T2^11 + 25*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 7*T1^8*T2^12 - 7*T1^9*T2^12 + 7*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[9, 12] -> {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   -((-7 + 31*T1 - 45*T1^2 + 31*T1^3 - 7*T1^4 + 31*T2 - 142*T1*T2 + 
      224*T1^2*T2 - 172*T1^3*T2 + 56*T1^4*T2 - 5*T1^5*T2 - 45*T2^2 + 
      224*T1*T2^2 - 338*T1^2*T2^2 + 82*T1^3*T2^2 + 234*T1^4*T2^2 - 
      244*T1^5*T2^2 + 59*T1^6*T2^2 + 31*T2^3 - 172*T1*T2^3 + 82*T1^2*T2^3 + 
      769*T1^3*T2^3 - 1211*T1^4*T2^3 + 667*T1^5*T2^3 + 80*T1^6*T2^3 - 
      77*T1^7*T2^3 - 7*T2^4 + 56*T1*T2^4 + 234*T1^2*T2^4 - 1211*T1^3*T2^4 + 
      888*T1^4*T2^4 + 427*T1^5*T2^4 - 1016*T1^6*T2^4 + 236*T1^7*T2^4 + 
      25*T1^8*T2^4 - 5*T1*T2^5 - 244*T1^2*T2^5 + 667*T1^3*T2^5 + 
      427*T1^4*T2^5 - 1553*T1^5*T2^5 + 1252*T1^6*T2^5 + 8*T1^7*T2^5 - 
      113*T1^8*T2^5 + 59*T1^2*T2^6 + 80*T1^3*T2^6 - 1016*T1^4*T2^6 + 
      1252*T1^5*T2^6 - 444*T1^6*T2^6 - 388*T1^7*T2^6 + 163*T1^8*T2^6 - 
      77*T1^3*T2^7 + 236*T1^4*T2^7 + 8*T1^5*T2^7 - 388*T1^6*T2^7 + 
      434*T1^7*T2^7 - 113*T1^8*T2^7 + 25*T1^4*T2^8 - 113*T1^5*T2^8 + 
      163*T1^6*T2^8 - 113*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[9, 13] -> 
  {(4 - 9*T + 11*T^2 - 9*T^3 + 4*T^4)/T^2, 
   -((272 - 604*T1 + 736*T1^2 - 604*T1^3 + 272*T1^4 - 604*T2 + 886*T1*T2 - 
      620*T1^2*T2 + 100*T1^3*T2 + 418*T1^4*T2 - 460*T1^5*T2 + 736*T2^2 - 
      620*T1*T2^2 + 45*T1^2*T2^2 + 401*T1^3*T2^2 - 571*T1^4*T2^2 + 
      172*T1^5*T2^2 + 384*T1^6*T2^2 - 604*T2^3 + 100*T1*T2^3 + 
      401*T1^2*T2^3 - 415*T1^3*T2^3 + 161*T1^4*T2^3 + 302*T1^5*T2^3 - 
      476*T1^6*T2^3 - 172*T1^7*T2^3 + 272*T2^4 + 418*T1*T2^4 - 
      571*T1^2*T2^4 + 161*T1^3*T2^4 + 216*T1^4*T2^4 - 397*T1^5*T2^4 + 
      183*T1^6*T2^4 + 346*T1^7*T2^4 + 16*T1^8*T2^4 - 460*T1*T2^5 + 
      172*T1^2*T2^5 + 302*T1^3*T2^5 - 397*T1^4*T2^5 + 179*T1^5*T2^5 + 
      203*T1^6*T2^5 - 404*T1^7*T2^5 - 28*T1^8*T2^5 + 384*T1^2*T2^6 - 
      476*T1^3*T2^6 + 183*T1^4*T2^6 + 203*T1^5*T2^6 - 433*T1^6*T2^6 + 
      316*T1^7*T2^6 + 32*T1^8*T2^6 - 172*T1^3*T2^7 + 346*T1^4*T2^7 - 
      404*T1^5*T2^7 + 316*T1^6*T2^7 - 122*T1^7*T2^7 - 28*T1^8*T2^7 + 
      16*T1^4*T2^8 - 28*T1^5*T2^8 + 32*T1^6*T2^8 - 28*T1^7*T2^8 + 
      16*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 14] -> {(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4)/T^2, 
   (-17 + 77*T1 - 129*T1^2 + 77*T1^3 - 17*T1^4 + 77*T2 - 308*T1*T2 + 
     398*T1^2*T2 - 34*T1^3*T2 - 110*T1^4*T2 + 41*T1^5*T2 - 129*T2^2 + 
     398*T1*T2^2 - 135*T1^2*T2^2 - 821*T1^3*T2^2 + 645*T1^4*T2^2 - 
     142*T1^5*T2^2 - 9*T1^6*T2^2 + 77*T2^3 - 34*T1*T2^3 - 821*T1^2*T2^3 + 
     1855*T1^3*T2^3 - 791*T1^4*T2^3 - 146*T1^5*T2^3 + 182*T1^6*T2^3 - 
     31*T1^7*T2^3 - 17*T2^4 - 110*T1*T2^4 + 645*T1^2*T2^4 - 791*T1^3*T2^4 - 
     600*T1^4*T2^4 + 1171*T1^5*T2^4 - 573*T1^6*T2^4 + 70*T1^7*T2^4 + 
     15*T1^8*T2^4 + 41*T1*T2^5 - 142*T1^2*T2^5 - 146*T1^3*T2^5 + 
     1171*T1^4*T2^5 - 1475*T1^5*T2^5 + 529*T1^6*T2^5 + 74*T1^7*T2^5 - 
     67*T1^8*T2^5 - 9*T1^2*T2^6 + 182*T1^3*T2^6 - 573*T1^4*T2^6 + 
     529*T1^5*T2^6 + 207*T1^6*T2^6 - 358*T1^7*T2^6 + 111*T1^8*T2^6 - 
     31*T1^3*T2^7 + 70*T1^4*T2^7 + 74*T1^5*T2^7 - 358*T1^6*T2^7 + 
     268*T1^7*T2^7 - 67*T1^8*T2^7 + 15*T1^4*T2^8 - 67*T1^5*T2^8 + 
     111*T1^6*T2^8 - 67*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 15] -> {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-25 + 125*T1 - 187*T1^2 + 125*T1^3 - 25*T1^4 + 125*T2 - 540*T1*T2 + 
      510*T1^2*T2 + 10*T1^3*T2 - 300*T1^4*T2 + 85*T1^5*T2 - 187*T2^2 + 
      510*T1*T2^2 + 643*T1^2*T2^2 - 1879*T1^3*T2^2 + 1423*T1^4*T2^2 - 
      90*T1^5*T2^2 - 67*T1^6*T2^2 + 125*T2^3 + 10*T1*T2^3 - 1879*T1^2*T2^3 + 
      2438*T1^3*T2^3 - 592*T1^4*T2^3 - 979*T1^5*T2^3 + 310*T1^6*T2^3 + 
      5*T1^7*T2^3 - 25*T2^4 - 300*T1*T2^4 + 1423*T1^2*T2^4 - 592*T1^3*T2^4 - 
      1476*T1^4*T2^4 + 1848*T1^5*T2^4 - 337*T1^6*T2^4 - 60*T1^7*T2^4 + 
      7*T1^8*T2^4 + 85*T1*T2^5 - 90*T1^2*T2^5 - 979*T1^3*T2^5 + 
      1848*T1^4*T2^5 - 1182*T1^5*T2^5 - 79*T1^6*T2^5 + 210*T1^7*T2^5 - 
      35*T1^8*T2^5 - 67*T1^2*T2^6 + 310*T1^3*T2^6 - 337*T1^4*T2^6 - 
      79*T1^5*T2^6 + 443*T1^6*T2^6 - 290*T1^7*T2^6 + 53*T1^8*T2^6 + 
      5*T1^3*T2^7 - 60*T1^4*T2^7 + 210*T1^5*T2^7 - 290*T1^6*T2^7 + 
      180*T1^7*T2^7 - 35*T1^8*T2^7 + 7*T1^4*T2^8 - 35*T1^5*T2^8 + 
      53*T1^6*T2^8 - 35*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 16] -> {((1 - T + T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3, 
   -((49 - 121*T1 + 192*T1^2 - 215*T1^3 + 192*T1^4 - 121*T1^5 + 49*T1^6 - 
      121*T2 + 200*T1*T2 - 229*T1^2*T2 + 139*T1^3*T2 - 31*T1^4*T2 - 
      99*T1^5*T2 + 130*T1^6*T2 - 101*T1^7*T2 + 192*T2^2 - 229*T1*T2^2 + 
      255*T1^2*T2^2 - 152*T1^3*T2^2 + 115*T1^4*T2^2 - 24*T1^5*T2^2 + 
      63*T1^6*T2^2 - 69*T1^7*T2^2 + 128*T1^8*T2^2 - 215*T2^3 + 139*T1*T2^3 - 
      152*T1^2*T2^3 + 30*T1^3*T2^3 - 56*T1^4*T2^3 - 34*T1^5*T2^3 - 
      44*T1^6*T2^3 - 51*T1^8*T2^3 - 107*T1^9*T2^3 + 192*T2^4 - 31*T1*T2^4 + 
      115*T1^2*T2^4 - 56*T1^3*T2^4 + 165*T1^4*T2^4 - 65*T1^5*T2^4 + 
      141*T1^6*T2^4 - 20*T1^7*T2^4 + 53*T1^8*T2^4 + 109*T1^9*T2^4 + 
      64*T1^10*T2^4 - 121*T2^5 - 99*T1*T2^5 - 24*T1^2*T2^5 - 34*T1^3*T2^5 - 
      65*T1^4*T2^5 - 44*T1^5*T2^5 - 58*T1^6*T2^5 - 49*T1^7*T2^5 - 
      28*T1^8*T2^5 - 80*T1^9*T2^5 - 109*T1^10*T2^5 - 21*T1^11*T2^5 + 
      49*T2^6 + 130*T1*T2^6 + 63*T1^2*T2^6 - 44*T1^3*T2^6 + 141*T1^4*T2^6 - 
      58*T1^5*T2^6 + 144*T1^6*T2^6 - 26*T1^7*T2^6 + 81*T1^8*T2^6 + 
      12*T1^9*T2^6 + 115*T1^10*T2^6 + 50*T1^11*T2^6 + T1^12*T2^6 - 
      101*T1*T2^7 - 69*T1^2*T2^7 - 20*T1^4*T2^7 - 49*T1^5*T2^7 - 
      26*T1^6*T2^7 - 40*T1^7*T2^7 - 33*T1^8*T2^7 - 14*T1^9*T2^7 - 
      56*T1^10*T2^7 - 79*T1^11*T2^7 - T1^12*T2^7 + 128*T1^2*T2^8 - 
      51*T1^3*T2^8 + 53*T1^4*T2^8 - 28*T1^5*T2^8 + 81*T1^6*T2^8 - 
      33*T1^7*T2^8 + 57*T1^8*T2^8 + 8*T1^9*T2^8 - 9*T1^10*T2^8 + 
      89*T1^11*T2^8 - 107*T1^3*T2^9 + 109*T1^4*T2^9 - 80*T1^5*T2^9 + 
      12*T1^6*T2^9 - 14*T1^7*T2^9 + 8*T1^8*T2^9 - 62*T1^9*T2^9 + 
      72*T1^10*T2^9 - 81*T1^11*T2^9 + T1^12*T2^9 + 64*T1^4*T2^10 - 
      109*T1^5*T2^10 + 115*T1^6*T2^10 - 56*T1^7*T2^10 - 9*T1^8*T2^10 + 
      72*T1^9*T2^10 - 77*T1^10*T2^10 + 51*T1^11*T2^10 - 21*T1^5*T2^11 + 
      50*T1^6*T2^11 - 79*T1^7*T2^11 + 89*T1^8*T2^11 - 81*T1^9*T2^11 + 
      51*T1^10*T2^11 - 20*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - 
      T1^7*T2^12 + T1^9*T2^12 - T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 17] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 18*T1^2 + 18*T1^3 - 18*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 65*T1^2*T2 - 45*T1^3*T2 + 45*T1^4*T2 - 5*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 18*T2^2 + 65*T1*T2^2 - 36*T1^2*T2^2 - 
     64*T1^3*T2^2 + 60*T1^4*T2^2 - 136*T1^5*T2^2 + 108*T1^6*T2^2 - 
     25*T1^7*T2^2 + 18*T2^3 - 45*T1*T2^3 - 64*T1^2*T2^3 + 226*T1^3*T2^3 - 
     178*T1^4*T2^3 + 254*T1^5*T2^3 - 134*T1^6*T2^3 - 37*T1^7*T2^3 + 
     45*T1^8*T2^3 - 9*T1^9*T2^3 - 18*T2^4 + 45*T1*T2^4 + 60*T1^2*T2^4 - 
     178*T1^3*T2^4 + 40*T1^4*T2^4 - 116*T1^5*T2^4 - 32*T1^6*T2^4 + 
     218*T1^7*T2^4 - 66*T1^8*T2^4 - 45*T1^9*T2^4 + 18*T1^10*T2^4 + 10*T2^5 - 
     5*T1*T2^5 - 136*T1^2*T2^5 + 254*T1^3*T2^5 - 116*T1^4*T2^5 + 
     233*T1^5*T2^5 - 49*T1^6*T2^5 - 125*T1^7*T2^5 - 250*T1^8*T2^5 + 
     233*T1^9*T2^5 - 15*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     108*T1^2*T2^6 - 134*T1^3*T2^6 - 32*T1^4*T2^6 - 49*T1^5*T2^6 - 
     48*T1^6*T2^6 + 73*T1^7*T2^6 + 418*T1^8*T2^6 - 98*T1^9*T2^6 - 
     176*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 37*T1^3*T2^7 + 218*T1^4*T2^7 - 125*T1^5*T2^7 + 
     73*T1^6*T2^7 - 209*T1^7*T2^7 - 134*T1^8*T2^7 - 286*T1^9*T2^7 + 
     332*T1^10*T2^7 - 35*T1^11*T2^7 - 20*T1^12*T2^7 + 45*T1^3*T2^8 - 
     66*T1^4*T2^8 - 250*T1^5*T2^8 + 418*T1^6*T2^8 - 134*T1^7*T2^8 + 
     346*T1^8*T2^8 + 146*T1^9*T2^8 - 192*T1^10*T2^8 - 45*T1^11*T2^8 + 
     36*T1^12*T2^8 - 9*T1^3*T2^9 - 45*T1^4*T2^9 + 233*T1^5*T2^9 - 
     98*T1^6*T2^9 - 286*T1^7*T2^9 + 146*T1^8*T2^9 - 458*T1^9*T2^9 + 
     260*T1^10*T2^9 + 45*T1^11*T2^9 - 36*T1^12*T2^9 + 18*T1^4*T2^10 - 
     15*T1^5*T2^10 - 176*T1^6*T2^10 + 332*T1^7*T2^10 - 192*T1^8*T2^10 + 
     260*T1^9*T2^10 - 32*T1^10*T2^10 - 105*T1^11*T2^10 + 36*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 35*T1^7*T2^11 - 45*T1^8*T2^11 + 
     45*T1^9*T2^11 - 105*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 36*T1^8*T2^12 - 36*T1^9*T2^12 + 
     36*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 18] -> 
  {(4 - 10*T + 13*T^2 - 10*T^3 + 4*T^4)/T^2, 
   (16 - 28*T1 + 32*T1^2 - 28*T1^3 + 16*T1^4 - 28*T2 - 138*T1*T2 + 
     392*T1^2*T2 - 528*T1^3*T2 + 422*T1^4*T2 - 188*T1^5*T2 + 32*T2^2 + 
     392*T1*T2^2 - 617*T1^2*T2^2 + 319*T1^3*T2^2 + 319*T1^4*T2^2 - 
     648*T1^5*T2^2 + 448*T1^6*T2^2 - 28*T2^3 - 528*T1*T2^3 + 319*T1^2*T2^3 + 
     390*T1^3*T2^3 - 920*T1^4*T2^3 + 579*T1^5*T2^3 + 152*T1^6*T2^3 - 
     508*T1^7*T2^3 + 16*T2^4 + 422*T1*T2^4 + 319*T1^2*T2^4 - 920*T1^3*T2^4 + 
     744*T1^4*T2^4 + 240*T1^5*T2^4 - 849*T1^6*T2^4 + 582*T1^7*T2^4 + 
     272*T1^8*T2^4 - 188*T1*T2^5 - 648*T1^2*T2^5 + 579*T1^3*T2^5 + 
     240*T1^4*T2^5 - 1070*T1^5*T2^5 + 839*T1^6*T2^5 + 32*T1^7*T2^5 - 
     668*T1^8*T2^5 + 448*T1^2*T2^6 + 152*T1^3*T2^6 - 849*T1^4*T2^6 + 
     839*T1^5*T2^6 + 87*T1^6*T2^6 - 888*T1^7*T2^6 + 864*T1^8*T2^6 - 
     508*T1^3*T2^7 + 582*T1^4*T2^7 + 32*T1^5*T2^7 - 888*T1^6*T2^7 + 
     1142*T1^7*T2^7 - 668*T1^8*T2^7 + 272*T1^4*T2^8 - 668*T1^5*T2^8 + 
     864*T1^6*T2^8 - 668*T1^7*T2^8 + 272*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[9, 19] -> 
  {(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4)/T^2, 
   (-15 + 75*T1 - 127*T1^2 + 75*T1^3 - 15*T1^4 + 75*T2 - 340*T1*T2 + 
     460*T1^2*T2 - 80*T1^3*T2 - 100*T1^4*T2 + 35*T1^5*T2 - 127*T2^2 + 
     460*T1*T2^2 - 183*T1^2*T2^2 - 907*T1^3*T2^2 + 837*T1^4*T2^2 - 
     220*T1^5*T2^2 + 9*T1^6*T2^2 + 75*T2^3 - 80*T1*T2^3 - 907*T1^2*T2^3 + 
     2326*T1^3*T2^3 - 1544*T1^4*T2^3 + 113*T1^5*T2^3 + 180*T1^6*T2^3 - 
     45*T1^7*T2^3 - 15*T2^4 - 100*T1*T2^4 + 837*T1^2*T2^4 - 1544*T1^3*T2^4 + 
     348*T1^4*T2^4 + 1296*T1^5*T2^4 - 891*T1^6*T2^4 + 140*T1^7*T2^4 + 
     17*T1^8*T2^4 + 35*T1*T2^5 - 220*T1^2*T2^5 + 113*T1^3*T2^5 + 
     1296*T1^4*T2^5 - 2574*T1^5*T2^5 + 1133*T1^6*T2^5 + 40*T1^7*T2^5 - 
     85*T1^8*T2^5 + 9*T1^2*T2^6 + 180*T1^3*T2^6 - 891*T1^4*T2^6 + 
     1133*T1^5*T2^6 + 129*T1^6*T2^6 - 500*T1^7*T2^6 + 145*T1^8*T2^6 - 
     45*T1^3*T2^7 + 140*T1^4*T2^7 + 40*T1^5*T2^7 - 500*T1^6*T2^7 + 
     380*T1^7*T2^7 - 85*T1^8*T2^7 + 17*T1^4*T2^8 - 85*T1^5*T2^8 + 
     145*T1^6*T2^8 - 85*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 20] -> {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((-1 + 5*T1 - 9*T1^2 + 11*T1^3 - 9*T1^4 + 5*T1^5 - T1^6 + 5*T2 - 
      25*T1*T2 + 45*T1^2*T2 - 55*T1^3*T2 + 45*T1^4*T2 - 25*T1^5*T2 + 
      5*T1^6*T2 - 9*T2^2 + 45*T1*T2^2 - 67*T1^2*T2^2 + 47*T1^3*T2^2 + 
      9*T1^4*T2^2 - 61*T1^5*T2^2 + 77*T1^6*T2^2 - 45*T1^7*T2^2 + 
      9*T1^8*T2^2 + 11*T2^3 - 55*T1*T2^3 + 47*T1^2*T2^3 + 72*T1^3*T2^3 - 
      194*T1^4*T2^3 + 244*T1^5*T2^3 - 162*T1^6*T2^3 + 20*T1^7*T2^3 + 
      65*T1^8*T2^3 - 22*T1^9*T2^3 - 9*T2^4 + 45*T1*T2^4 + 9*T1^2*T2^4 - 
      194*T1^3*T2^4 + 213*T1^4*T2^4 - 103*T1^5*T2^4 - 159*T1^6*T2^4 + 
      290*T1^7*T2^4 - 217*T1^8*T2^4 - 25*T1^9*T2^4 + 27*T1^10*T2^4 + 5*T2^5 - 
      25*T1*T2^5 - 61*T1^2*T2^5 + 244*T1^3*T2^5 - 103*T1^4*T2^5 - 
      23*T1^5*T2^5 + 217*T1^6*T2^5 - 94*T1^7*T2^5 - 102*T1^8*T2^5 + 
      290*T1^9*T2^5 - 35*T1^10*T2^5 - 20*T1^11*T2^5 - T2^6 + 5*T1*T2^6 + 
      77*T1^2*T2^6 - 162*T1^3*T2^6 - 159*T1^4*T2^6 + 217*T1^5*T2^6 - 
      300*T1^6*T2^6 + 15*T1^7*T2^6 + 91*T1^8*T2^6 - 138*T1^9*T2^6 - 
      207*T1^10*T2^6 + 75*T1^11*T2^6 + 5*T1^12*T2^6 - 45*T1^2*T2^7 + 
      20*T1^3*T2^7 + 290*T1^4*T2^7 - 94*T1^5*T2^7 + 15*T1^6*T2^7 + 
      255*T1^7*T2^7 - 85*T1^8*T2^7 - 56*T1^9*T2^7 + 371*T1^10*T2^7 - 
      55*T1^11*T2^7 - 25*T1^12*T2^7 + 9*T1^2*T2^8 + 65*T1^3*T2^8 - 
      217*T1^4*T2^8 - 102*T1^5*T2^8 + 91*T1^6*T2^8 - 85*T1^7*T2^8 - 
      281*T1^8*T2^8 + 382*T1^9*T2^8 - 443*T1^10*T2^8 - 5*T1^11*T2^8 + 
      45*T1^12*T2^8 - 22*T1^3*T2^9 - 25*T1^4*T2^9 + 290*T1^5*T2^9 - 
      138*T1^6*T2^9 - 56*T1^7*T2^9 + 382*T1^8*T2^9 - 372*T1^9*T2^9 + 
      263*T1^10*T2^9 + 95*T1^11*T2^9 - 55*T1^12*T2^9 + 27*T1^4*T2^10 - 
      35*T1^5*T2^10 - 207*T1^6*T2^10 + 371*T1^7*T2^10 - 443*T1^8*T2^10 + 
      263*T1^9*T2^10 - 63*T1^10*T2^10 - 125*T1^11*T2^10 + 45*T1^12*T2^10 - 
      20*T1^5*T2^11 + 75*T1^6*T2^11 - 55*T1^7*T2^11 - 5*T1^8*T2^11 + 
      95*T1^9*T2^11 - 125*T1^10*T2^11 + 105*T1^11*T2^11 - 25*T1^12*T2^11 + 
      5*T1^6*T2^12 - 25*T1^7*T2^12 + 45*T1^8*T2^12 - 55*T1^9*T2^12 + 
      45*T1^10*T2^12 - 25*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 21] -> 
  {-((2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4)/T^2), 
   -((-25 + 137*T1 - 211*T1^2 + 137*T1^3 - 25*T1^4 + 137*T2 - 658*T1*T2 + 
      648*T1^2*T2 + 32*T1^3*T2 - 372*T1^4*T2 + 93*T1^5*T2 - 211*T2^2 + 
      648*T1*T2^2 + 883*T1^2*T2^2 - 2639*T1^3*T2^2 + 1903*T1^4*T2^2 - 
      100*T1^5*T2^2 - 75*T1^6*T2^2 + 137*T2^3 + 32*T1*T2^3 - 2639*T1^2*T2^3 + 
      3559*T1^3*T2^3 - 819*T1^4*T2^3 - 1330*T1^5*T2^3 + 384*T1^6*T2^3 + 
      5*T1^7*T2^3 - 25*T2^4 - 372*T1*T2^4 + 1903*T1^2*T2^4 - 819*T1^3*T2^4 - 
      2196*T1^4*T2^4 + 2635*T1^5*T2^4 - 487*T1^6*T2^4 - 64*T1^7*T2^4 + 
      7*T1^8*T2^4 + 93*T1*T2^5 - 100*T1^2*T2^5 - 1330*T1^3*T2^5 + 
      2635*T1^4*T2^5 - 1743*T1^5*T2^5 - 21*T1^6*T2^5 + 252*T1^7*T2^5 - 
      39*T1^8*T2^5 - 75*T1^2*T2^6 + 384*T1^3*T2^6 - 487*T1^4*T2^6 - 
      21*T1^5*T2^6 + 533*T1^6*T2^6 - 364*T1^7*T2^6 + 61*T1^8*T2^6 + 
      5*T1^3*T2^7 - 64*T1^4*T2^7 + 252*T1^5*T2^7 - 364*T1^6*T2^7 + 
      222*T1^7*T2^7 - 39*T1^8*T2^7 + 7*T1^4*T2^8 - 39*T1^5*T2^8 + 
      61*T1^6*T2^8 - 39*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 22] -> {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 40*T1^2 + 44*T1^3 - 40*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 125*T1^2*T2 - 70*T1^3*T2 + 35*T1^4*T2 + 50*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 40*T2^2 + 125*T1*T2^2 - 45*T1^2*T2^2 - 
     211*T1^3*T2^2 + 231*T1^4*T2^2 - 331*T1^5*T2^2 + 135*T1^6*T2^2 + 
     25*T1^7*T2^2 - 20*T1^8*T2^2 + 44*T2^3 - 70*T1*T2^3 - 211*T1^2*T2^3 + 
     535*T1^3*T2^3 - 286*T1^4*T2^3 + 269*T1^5*T2^3 + 181*T1^6*T2^3 - 
     241*T1^7*T2^3 + 45*T1^8*T2^3 + 11*T1^9*T2^3 - 40*T2^4 + 35*T1*T2^4 + 
     231*T1^2*T2^4 - 286*T1^3*T2^4 - 302*T1^4*T2^4 + 304*T1^5*T2^4 - 
     602*T1^6*T2^4 + 264*T1^7*T2^4 + 81*T1^8*T2^4 - 55*T1^9*T2^4 + 20*T2^5 + 
     50*T1*T2^5 - 331*T1^2*T2^5 + 269*T1^3*T2^5 + 304*T1^4*T2^5 - 
     95*T1^5*T2^5 + 115*T1^6*T2^5 + 204*T1^7*T2^5 - 296*T1^8*T2^5 + 
     59*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     135*T1^2*T2^6 + 181*T1^3*T2^6 - 602*T1^4*T2^6 + 115*T1^5*T2^6 + 
     108*T1^6*T2^6 - 215*T1^7*T2^6 + 158*T1^8*T2^6 + 115*T1^9*T2^6 - 
     105*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     25*T1^2*T2^7 - 241*T1^3*T2^7 + 264*T1^4*T2^7 + 204*T1^5*T2^7 - 
     215*T1^6*T2^7 - 5*T1^7*T2^7 + 104*T1^8*T2^7 - 301*T1^9*T2^7 + 
     149*T1^10*T2^7 - 10*T1^12*T2^7 - 20*T1^2*T2^8 + 45*T1^3*T2^8 + 
     81*T1^4*T2^8 - 296*T1^5*T2^8 + 158*T1^6*T2^8 + 104*T1^7*T2^8 - 
     142*T1^8*T2^8 + 254*T1^9*T2^8 - 69*T1^10*T2^8 - 45*T1^11*T2^8 + 
     20*T1^12*T2^8 + 11*T1^3*T2^9 - 55*T1^4*T2^9 + 59*T1^5*T2^9 + 
     115*T1^6*T2^9 - 301*T1^7*T2^9 + 254*T1^8*T2^9 - 239*T1^9*T2^9 + 
     29*T1^10*T2^9 + 60*T1^11*T2^9 - 22*T1^12*T2^9 + 25*T1^5*T2^10 - 
     105*T1^6*T2^10 + 149*T1^7*T2^10 - 69*T1^8*T2^10 + 29*T1^9*T2^10 + 
     75*T1^10*T2^10 - 75*T1^11*T2^10 + 20*T1^12*T2^10 - 5*T1^5*T2^11 + 
     15*T1^6*T2^11 - 45*T1^8*T2^11 + 60*T1^9*T2^11 - 75*T1^10*T2^11 + 
     45*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     20*T1^8*T2^12 - 22*T1^9*T2^12 + 20*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[9, 23] -> {((1 - T + T^2)*(4 - 7*T + 4*T^2))/T^2, 
   (16 - 32*T1 + 40*T1^2 - 32*T1^3 + 16*T1^4 - 32*T2 - 144*T1*T2 + 
     468*T1^2*T2 - 676*T1^3*T2 + 516*T1^4*T2 - 208*T1^5*T2 + 40*T2^2 + 
     468*T1*T2^2 - 870*T1^2*T2^2 + 542*T1^3*T2^2 + 450*T1^4*T2^2 - 
     852*T1^5*T2^2 + 520*T1^6*T2^2 - 32*T2^3 - 676*T1*T2^3 + 542*T1^2*T2^3 + 
     595*T1^3*T2^3 - 1715*T1^4*T2^3 + 1037*T1^5*T2^3 + 116*T1^6*T2^3 - 
     560*T1^7*T2^3 + 16*T2^4 + 516*T1*T2^4 + 450*T1^2*T2^4 - 1715*T1^3*T2^4 + 
     1752*T1^4*T2^4 + 243*T1^5*T2^4 - 1252*T1^6*T2^4 + 780*T1^7*T2^4 + 
     272*T1^8*T2^4 - 208*T1*T2^5 - 852*T1^2*T2^5 + 1037*T1^3*T2^5 + 
     243*T1^4*T2^5 - 2067*T1^5*T2^5 + 1532*T1^6*T2^5 - 60*T1^7*T2^5 - 
     736*T1^8*T2^5 + 520*T1^2*T2^6 + 116*T1^3*T2^6 - 1252*T1^4*T2^6 + 
     1532*T1^5*T2^6 + 68*T1^6*T2^6 - 1204*T1^7*T2^6 + 1000*T1^8*T2^6 - 
     560*T1^3*T2^7 + 780*T1^4*T2^7 - 60*T1^5*T2^7 - 1204*T1^6*T2^7 + 
     1440*T1^7*T2^7 - 736*T1^8*T2^7 + 272*T1^4*T2^8 - 736*T1^5*T2^8 + 
     1000*T1^6*T2^8 - 736*T1^7*T2^8 + 272*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[9, 24] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -((-3 + 15*T1 - 30*T1^2 + 39*T1^3 - 30*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 100*T1^2*T2 - 95*T1^3*T2 + 20*T1^4*T2 + 25*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 30*T2^2 + 100*T1*T2^2 - 60*T1^2*T2^2 - 
      62*T1^3*T2^2 + 254*T1^4*T2^2 - 222*T1^5*T2^2 + 120*T1^6*T2^2 - 
      10*T1^8*T2^2 + 39*T2^3 - 95*T1*T2^3 - 62*T1^2*T2^3 + 257*T1^3*T2^3 - 
      420*T1^4*T2^3 + 145*T1^5*T2^3 + 53*T1^6*T2^3 - 152*T1^7*T2^3 + 
      50*T1^8*T2^3 - 30*T2^4 + 20*T1*T2^4 + 254*T1^2*T2^4 - 420*T1^3*T2^4 + 
      348*T1^4*T2^4 + 192*T1^5*T2^4 - 332*T1^6*T2^4 + 230*T1^7*T2^4 + 
      4*T1^8*T2^4 - 50*T1^9*T2^4 + 10*T1^10*T2^4 + 15*T2^5 + 25*T1*T2^5 - 
      222*T1^2*T2^5 + 145*T1^3*T2^5 + 192*T1^4*T2^5 - 577*T1^5*T2^5 + 
      313*T1^6*T2^5 + 92*T1^7*T2^5 - 250*T1^8*T2^5 + 148*T1^9*T2^5 - 
      10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 120*T1^2*T2^6 + 53*T1^3*T2^6 - 
      332*T1^4*T2^6 + 313*T1^5*T2^6 + 108*T1^6*T2^6 - 417*T1^7*T2^6 + 
      228*T1^8*T2^6 - 25*T1^9*T2^6 - 120*T1^10*T2^6 + 35*T1^11*T2^6 + 
      3*T1^12*T2^6 + 10*T1*T2^7 - 152*T1^3*T2^7 + 230*T1^4*T2^7 + 
      92*T1^5*T2^7 - 417*T1^6*T2^7 + 473*T1^7*T2^7 - 8*T1^8*T2^7 - 
      165*T1^9*T2^7 + 218*T1^10*T2^7 - 25*T1^11*T2^7 - 15*T1^12*T2^7 - 
      10*T1^2*T2^8 + 50*T1^3*T2^8 + 4*T1^4*T2^8 - 250*T1^5*T2^8 + 
      228*T1^6*T2^8 - 8*T1^7*T2^8 - 452*T1^8*T2^8 + 400*T1^9*T2^8 - 
      246*T1^10*T2^8 - 20*T1^11*T2^8 + 30*T1^12*T2^8 - 50*T1^4*T2^9 + 
      148*T1^5*T2^9 - 25*T1^6*T2^9 - 165*T1^7*T2^9 + 400*T1^8*T2^9 - 
      229*T1^9*T2^9 + 58*T1^10*T2^9 + 95*T1^11*T2^9 - 39*T1^12*T2^9 + 
      10*T1^4*T2^10 - 120*T1^6*T2^10 + 218*T1^7*T2^10 - 246*T1^8*T2^10 + 
      58*T1^9*T2^10 + 60*T1^10*T2^10 - 100*T1^11*T2^10 + 30*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 25*T1^7*T2^11 - 20*T1^8*T2^11 + 
      95*T1^9*T2^11 - 100*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 30*T1^8*T2^12 - 39*T1^9*T2^12 + 
      30*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 25] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   -((-24 + 96*T1 - 138*T1^2 + 96*T1^3 - 24*T1^4 + 96*T2 - 394*T1*T2 + 
      597*T1^2*T2 - 447*T1^3*T2 + 146*T1^4*T2 - 12*T1^5*T2 - 138*T2^2 + 
      597*T1*T2^2 - 821*T1^2*T2^2 + 155*T1^3*T2^2 + 607*T1^4*T2^2 - 
      627*T1^5*T2^2 + 168*T1^6*T2^2 + 96*T2^3 - 447*T1*T2^3 + 155*T1^2*T2^3 + 
      1714*T1^3*T2^3 - 2582*T1^4*T2^3 + 1379*T1^5*T2^3 + 237*T1^6*T2^3 - 
      228*T1^7*T2^3 - 24*T2^4 + 146*T1*T2^4 + 607*T1^2*T2^4 - 
      2582*T1^3*T2^4 + 1728*T1^4*T2^4 + 1018*T1^5*T2^4 - 2237*T1^6*T2^4 + 
      578*T1^7*T2^4 + 84*T1^8*T2^4 - 12*T1*T2^5 - 627*T1^2*T2^5 + 
      1379*T1^3*T2^5 + 1018*T1^4*T2^5 - 3278*T1^5*T2^5 + 2603*T1^6*T2^5 + 
      57*T1^7*T2^5 - 336*T1^8*T2^5 + 168*T1^2*T2^6 + 237*T1^3*T2^6 - 
      2237*T1^4*T2^6 + 2603*T1^5*T2^6 - 809*T1^6*T2^6 - 987*T1^7*T2^6 + 
      474*T1^8*T2^6 - 228*T1^3*T2^7 + 578*T1^4*T2^7 + 57*T1^5*T2^7 - 
      987*T1^6*T2^7 + 1118*T1^7*T2^7 - 336*T1^8*T2^7 + 84*T1^4*T2^8 - 
      336*T1^5*T2^8 + 474*T1^6*T2^8 - 336*T1^7*T2^8 + 84*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[9, 26] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 44*T1^2 + 52*T1^3 - 44*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 145*T1^2*T2 - 95*T1^3*T2 + 25*T1^4*T2 + 65*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 44*T2^2 + 145*T1*T2^2 - 130*T1^2*T2^2 - 
     150*T1^3*T2^2 + 260*T1^4*T2^2 - 326*T1^5*T2^2 + 90*T1^6*T2^2 + 
     35*T1^7*T2^2 - 22*T1^8*T2^2 + 52*T2^3 - 95*T1*T2^3 - 150*T1^2*T2^3 + 
     628*T1^3*T2^3 - 448*T1^4*T2^3 + 248*T1^5*T2^3 + 294*T1^6*T2^3 - 
     249*T1^7*T2^3 + 45*T1^8*T2^3 + 13*T1^9*T2^3 - 44*T2^4 + 25*T1*T2^4 + 
     260*T1^2*T2^4 - 448*T1^3*T2^4 - 327*T1^4*T2^4 + 635*T1^5*T2^4 - 
     927*T1^6*T2^4 + 280*T1^7*T2^4 + 94*T1^8*T2^4 - 65*T1^9*T2^4 + 20*T2^5 + 
     65*T1*T2^5 - 326*T1^2*T2^5 + 248*T1^3*T2^5 + 635*T1^4*T2^5 - 
     577*T1^5*T2^5 + 365*T1^6*T2^5 + 382*T1^7*T2^5 - 384*T1^8*T2^5 + 
     81*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     90*T1^2*T2^6 + 294*T1^3*T2^6 - 927*T1^4*T2^6 + 365*T1^5*T2^6 + 
     204*T1^6*T2^6 - 601*T1^7*T2^6 + 259*T1^8*T2^6 + 106*T1^9*T2^6 - 
     102*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     35*T1^2*T2^7 - 249*T1^3*T2^7 + 280*T1^4*T2^7 + 382*T1^5*T2^7 - 
     601*T1^6*T2^7 + 341*T1^7*T2^7 + 129*T1^8*T2^7 - 352*T1^9*T2^7 + 
     158*T1^10*T2^7 - 5*T1^11*T2^7 - 10*T1^12*T2^7 - 22*T1^2*T2^8 + 
     45*T1^3*T2^8 + 94*T1^4*T2^8 - 384*T1^5*T2^8 + 259*T1^6*T2^8 + 
     129*T1^7*T2^8 - 341*T1^8*T2^8 + 344*T1^9*T2^8 - 72*T1^10*T2^8 - 
     45*T1^11*T2^8 + 22*T1^12*T2^8 + 13*T1^3*T2^9 - 65*T1^4*T2^9 + 
     81*T1^5*T2^9 + 106*T1^6*T2^9 - 352*T1^7*T2^9 + 344*T1^8*T2^9 - 
     228*T1^9*T2^9 - 18*T1^10*T2^9 + 75*T1^11*T2^9 - 26*T1^12*T2^9 + 
     25*T1^5*T2^10 - 102*T1^6*T2^10 + 158*T1^7*T2^10 - 72*T1^8*T2^10 - 
     18*T1^9*T2^10 + 118*T1^10*T2^10 - 85*T1^11*T2^10 + 22*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 5*T1^7*T2^11 - 45*T1^8*T2^11 + 
     75*T1^9*T2^11 - 85*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 22*T1^8*T2^12 - 26*T1^9*T2^12 + 
     22*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 27] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 115*T1^3*T2 + 15*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 
      T1^3*T2^2 + 265*T1^4*T2^2 - 219*T1^5*T2^2 + 95*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 115*T1*T2^3 + T1^2*T2^3 + 
      268*T1^3*T2^3 - 554*T1^4*T2^3 + 156*T1^5*T2^3 + 108*T1^6*T2^3 - 
      164*T1^7*T2^3 + 55*T1^8*T2^3 - 33*T2^4 + 15*T1*T2^4 + 265*T1^2*T2^4 - 
      554*T1^3*T2^4 + 518*T1^4*T2^4 + 342*T1^5*T2^4 - 542*T1^6*T2^4 + 
      286*T1^7*T2^4 - T1^8*T2^4 - 55*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 219*T1^2*T2^5 + 156*T1^3*T2^5 + 342*T1^4*T2^5 - 
      1095*T1^5*T2^5 + 705*T1^6*T2^5 + 67*T1^7*T2^5 - 294*T1^8*T2^5 + 
      166*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      95*T1^2*T2^6 + 108*T1^3*T2^6 - 542*T1^4*T2^6 + 705*T1^5*T2^6 + 
      12*T1^6*T2^6 - 745*T1^7*T2^6 + 444*T1^8*T2^6 - 92*T1^9*T2^6 - 
      97*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 164*T1^3*T2^7 + 286*T1^4*T2^7 + 67*T1^5*T2^7 - 
      745*T1^6*T2^7 + 1055*T1^7*T2^7 - 208*T1^8*T2^7 - 164*T1^9*T2^7 + 
      221*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      55*T1^3*T2^8 - T1^4*T2^8 - 294*T1^5*T2^8 + 444*T1^6*T2^8 - 
      208*T1^7*T2^8 - 616*T1^8*T2^8 + 546*T1^9*T2^8 - 267*T1^10*T2^8 - 
      15*T1^11*T2^8 + 33*T1^12*T2^8 - 55*T1^4*T2^9 + 166*T1^5*T2^9 - 
      92*T1^6*T2^9 - 164*T1^7*T2^9 + 546*T1^8*T2^9 - 252*T1^9*T2^9 + 
      T1^10*T2^9 + 115*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 97*T1^6*T2^10 + 221*T1^7*T2^10 - 267*T1^8*T2^10 + 
      T1^9*T2^10 + 123*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 15*T1^8*T2^11 + 
      115*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 28] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-2 + 10*T1 - 24*T1^2 + 30*T1^3 - 24*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 95*T1^2*T2 - 90*T1^3*T2 + 45*T1^4*T2 + 10*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 24*T2^2 + 95*T1*T2^2 - 163*T1^2*T2^2 + 
     60*T1^3*T2^2 + 85*T1^4*T2^2 - 180*T1^5*T2^2 + 101*T1^6*T2^2 - 
     25*T1^7*T2^2 + 30*T2^3 - 90*T1*T2^3 + 60*T1^2*T2^3 + 257*T1^3*T2^3 - 
     460*T1^4*T2^3 + 395*T1^5*T2^3 - 43*T1^6*T2^3 - 120*T1^7*T2^3 + 
     75*T1^8*T2^3 - 15*T1^9*T2^3 - 24*T2^4 + 45*T1*T2^4 + 85*T1^2*T2^4 - 
     460*T1^3*T2^4 + 455*T1^4*T2^4 + 9*T1^5*T2^4 - 517*T1^6*T2^4 + 
     470*T1^7*T2^4 - 89*T1^8*T2^4 - 45*T1^9*T2^4 + 24*T1^10*T2^4 + 10*T2^5 + 
     10*T1*T2^5 - 180*T1^2*T2^5 + 395*T1^3*T2^5 + 9*T1^4*T2^5 - 
     873*T1^5*T2^5 + 1077*T1^6*T2^5 - 471*T1^7*T2^5 - 310*T1^8*T2^5 + 
     240*T1^9*T2^5 - 45*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     101*T1^2*T2^6 - 43*T1^3*T2^6 - 517*T1^4*T2^6 + 1077*T1^5*T2^6 - 
     288*T1^6*T2^6 - 733*T1^7*T2^6 + 1223*T1^8*T2^6 - 373*T1^9*T2^6 - 
     39*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 120*T1^3*T2^7 + 470*T1^4*T2^7 - 471*T1^5*T2^7 - 
     733*T1^6*T2^7 + 1217*T1^7*T2^7 - 951*T1^8*T2^7 - 235*T1^9*T2^7 + 
     300*T1^10*T2^7 - 80*T1^11*T2^7 - 20*T1^12*T2^7 + 75*T1^3*T2^8 - 
     89*T1^4*T2^8 - 310*T1^5*T2^8 + 1223*T1^6*T2^8 - 951*T1^7*T2^8 + 
     251*T1^8*T2^8 + 620*T1^9*T2^8 - 263*T1^10*T2^8 - 15*T1^11*T2^8 + 
     48*T1^12*T2^8 - 15*T1^3*T2^9 - 45*T1^4*T2^9 + 240*T1^5*T2^9 - 
     373*T1^6*T2^9 - 235*T1^7*T2^9 + 620*T1^8*T2^9 - 673*T1^9*T2^9 + 
     60*T1^10*T2^9 + 120*T1^11*T2^9 - 60*T1^12*T2^9 + 24*T1^4*T2^10 - 
     45*T1^5*T2^10 - 39*T1^6*T2^10 + 300*T1^7*T2^10 - 263*T1^8*T2^10 + 
     60*T1^9*T2^10 + 225*T1^10*T2^10 - 165*T1^11*T2^10 + 48*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 80*T1^7*T2^11 - 15*T1^8*T2^11 + 
     120*T1^9*T2^11 - 165*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 48*T1^8*T2^12 - 60*T1^9*T2^12 + 
     48*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 29] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-2 + 10*T1 - 24*T1^2 + 30*T1^3 - 24*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 95*T1^2*T2 - 90*T1^3*T2 + 45*T1^4*T2 + 10*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 24*T2^2 + 95*T1*T2^2 - 165*T1^2*T2^2 + 
     63*T1^3*T2^2 + 79*T1^4*T2^2 - 177*T1^5*T2^2 + 99*T1^6*T2^2 - 
     25*T1^7*T2^2 + 30*T2^3 - 90*T1*T2^3 + 63*T1^2*T2^3 + 261*T1^3*T2^3 - 
     453*T1^4*T2^3 + 402*T1^5*T2^3 - 39*T1^6*T2^3 - 117*T1^7*T2^3 + 
     75*T1^8*T2^3 - 15*T1^9*T2^3 - 24*T2^4 + 45*T1*T2^4 + 79*T1^2*T2^4 - 
     453*T1^3*T2^4 + 399*T1^4*T2^4 + 29*T1^5*T2^4 - 573*T1^6*T2^4 + 
     477*T1^7*T2^4 - 95*T1^8*T2^4 - 45*T1^9*T2^4 + 24*T1^10*T2^4 + 10*T2^5 + 
     10*T1*T2^5 - 177*T1^2*T2^5 + 402*T1^3*T2^5 + 29*T1^4*T2^5 - 
     815*T1^5*T2^5 + 1135*T1^6*T2^5 - 451*T1^7*T2^5 - 303*T1^8*T2^5 + 
     243*T1^9*T2^5 - 45*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     99*T1^2*T2^6 - 39*T1^3*T2^6 - 573*T1^4*T2^6 + 1135*T1^5*T2^6 - 
     516*T1^6*T2^6 - 675*T1^7*T2^6 + 1167*T1^8*T2^6 - 369*T1^9*T2^6 - 
     41*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 117*T1^3*T2^7 + 477*T1^4*T2^7 - 451*T1^5*T2^7 - 
     675*T1^6*T2^7 + 1275*T1^7*T2^7 - 931*T1^8*T2^7 - 228*T1^9*T2^7 + 
     303*T1^10*T2^7 - 80*T1^11*T2^7 - 20*T1^12*T2^7 + 75*T1^3*T2^8 - 
     95*T1^4*T2^8 - 303*T1^5*T2^8 + 1167*T1^6*T2^8 - 931*T1^7*T2^8 + 
     195*T1^8*T2^8 + 627*T1^9*T2^8 - 269*T1^10*T2^8 - 15*T1^11*T2^8 + 
     48*T1^12*T2^8 - 15*T1^3*T2^9 - 45*T1^4*T2^9 + 243*T1^5*T2^9 - 
     369*T1^6*T2^9 - 228*T1^7*T2^9 + 627*T1^8*T2^9 - 669*T1^9*T2^9 + 
     63*T1^10*T2^9 + 120*T1^11*T2^9 - 60*T1^12*T2^9 + 24*T1^4*T2^10 - 
     45*T1^5*T2^10 - 41*T1^6*T2^10 + 303*T1^7*T2^10 - 269*T1^8*T2^10 + 
     63*T1^9*T2^10 + 223*T1^10*T2^10 - 165*T1^11*T2^10 + 48*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 80*T1^7*T2^11 - 15*T1^8*T2^11 + 
     120*T1^9*T2^11 - 165*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 48*T1^8*T2^12 - 60*T1^9*T2^12 + 
     48*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 30] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 36*T1^2 + 51*T1^3 - 36*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 130*T1^2*T2 - 135*T1^3*T2 + 10*T1^4*T2 + 45*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 
      71*T1^3*T2^2 + 274*T1^4*T2^2 - 217*T1^5*T2^2 + 70*T1^6*T2^2 + 
      10*T1^7*T2^2 - 12*T1^8*T2^2 + 51*T2^3 - 135*T1*T2^3 + 71*T1^2*T2^3 + 
      279*T1^3*T2^3 - 706*T1^4*T2^3 + 167*T1^5*T2^3 + 177*T1^6*T2^3 - 
      181*T1^7*T2^3 + 60*T1^8*T2^3 - 36*T2^4 + 10*T1*T2^4 + 274*T1^2*T2^4 - 
      706*T1^3*T2^4 + 713*T1^4*T2^4 + 535*T1^5*T2^4 - 799*T1^6*T2^4 + 
      348*T1^7*T2^4 - 60*T1^9*T2^4 + 12*T1^10*T2^4 + 15*T2^5 + 45*T1*T2^5 - 
      217*T1^2*T2^5 + 167*T1^3*T2^5 + 535*T1^4*T2^5 - 1775*T1^5*T2^5 + 
      1231*T1^6*T2^5 + 7*T1^7*T2^5 - 344*T1^8*T2^5 + 179*T1^9*T2^5 - 
      10*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 70*T1^2*T2^6 + 
      177*T1^3*T2^6 - 799*T1^4*T2^6 + 1231*T1^5*T2^6 - 144*T1^6*T2^6 - 
      1155*T1^7*T2^6 + 741*T1^8*T2^6 - 165*T1^9*T2^6 - 70*T1^10*T2^6 + 
      35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 10*T1^2*T2^7 - 
      181*T1^3*T2^7 + 348*T1^4*T2^7 + 7*T1^5*T2^7 - 1155*T1^6*T2^7 + 
      1851*T1^7*T2^7 - 521*T1^8*T2^7 - 163*T1^9*T2^7 + 215*T1^10*T2^7 - 
      45*T1^11*T2^7 - 15*T1^12*T2^7 - 12*T1^2*T2^8 + 60*T1^3*T2^8 - 
      344*T1^5*T2^8 + 741*T1^6*T2^8 - 521*T1^7*T2^8 - 771*T1^8*T2^8 + 
      710*T1^9*T2^8 - 274*T1^10*T2^8 - 10*T1^11*T2^8 + 36*T1^12*T2^8 - 
      60*T1^4*T2^9 + 179*T1^5*T2^9 - 165*T1^6*T2^9 - 163*T1^7*T2^9 + 
      710*T1^8*T2^9 - 267*T1^9*T2^9 - 73*T1^10*T2^9 + 135*T1^11*T2^9 - 
      51*T1^12*T2^9 + 12*T1^4*T2^10 - 10*T1^5*T2^10 - 70*T1^6*T2^10 + 
      215*T1^7*T2^10 - 274*T1^8*T2^10 - 73*T1^9*T2^10 + 194*T1^10*T2^10 - 
      130*T1^11*T2^10 + 36*T1^12*T2^10 - 10*T1^5*T2^11 + 35*T1^6*T2^11 - 
      45*T1^7*T2^11 - 10*T1^8*T2^11 + 135*T1^9*T2^11 - 130*T1^10*T2^11 + 
      65*T1^11*T2^11 - 15*T1^12*T2^11 + 3*T1^6*T2^12 - 15*T1^7*T2^12 + 
      36*T1^8*T2^12 - 51*T1^9*T2^12 + 36*T1^10*T2^12 - 15*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[9, 31] -> {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 26*T1^2 + 34*T1^3 - 26*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 105*T1^2*T2 - 105*T1^3*T2 + 45*T1^4*T2 + 15*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 26*T2^2 + 105*T1*T2^2 - 214*T1^2*T2^2 + 
     122*T1^3*T2^2 + 78*T1^4*T2^2 - 190*T1^5*T2^2 + 98*T1^6*T2^2 - 
     25*T1^7*T2^2 + 34*T2^3 - 105*T1*T2^3 + 122*T1^2*T2^3 + 238*T1^3*T2^3 - 
     566*T1^4*T2^3 + 466*T1^5*T2^3 - 14*T1^6*T2^3 - 151*T1^7*T2^3 + 
     85*T1^8*T2^3 - 17*T1^9*T2^3 - 26*T2^4 + 45*T1*T2^4 + 78*T1^2*T2^4 - 
     566*T1^3*T2^4 + 690*T1^4*T2^4 - 10*T1^5*T2^4 - 726*T1^6*T2^4 + 
     590*T1^7*T2^4 - 96*T1^8*T2^4 - 45*T1^9*T2^4 + 26*T1^10*T2^4 + 10*T2^5 + 
     15*T1*T2^5 - 190*T1^2*T2^5 + 466*T1^3*T2^5 - 10*T1^4*T2^5 - 
     1407*T1^5*T2^5 + 1863*T1^6*T2^5 - 803*T1^7*T2^5 - 318*T1^8*T2^5 + 
     239*T1^9*T2^5 - 55*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     98*T1^2*T2^6 - 14*T1^3*T2^6 - 726*T1^4*T2^6 + 1863*T1^5*T2^6 - 
     888*T1^6*T2^6 - 1023*T1^7*T2^6 + 1708*T1^8*T2^6 - 506*T1^9*T2^6 + 
     14*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 151*T1^3*T2^7 + 590*T1^4*T2^7 - 803*T1^5*T2^7 - 
     1023*T1^6*T2^7 + 2247*T1^7*T2^7 - 1596*T1^8*T2^7 - 194*T1^9*T2^7 + 
     278*T1^10*T2^7 - 95*T1^11*T2^7 - 20*T1^12*T2^7 + 85*T1^3*T2^8 - 
     96*T1^4*T2^8 - 318*T1^5*T2^8 + 1708*T1^6*T2^8 - 1596*T1^7*T2^8 + 
     292*T1^8*T2^8 + 838*T1^9*T2^8 - 270*T1^10*T2^8 - 5*T1^11*T2^8 + 
     52*T1^12*T2^8 - 17*T1^3*T2^9 - 45*T1^4*T2^9 + 239*T1^5*T2^9 - 
     506*T1^6*T2^9 - 194*T1^7*T2^9 + 838*T1^8*T2^9 - 758*T1^9*T2^9 - 
     34*T1^10*T2^9 + 145*T1^11*T2^9 - 68*T1^12*T2^9 + 26*T1^4*T2^10 - 
     55*T1^5*T2^10 + 14*T1^6*T2^10 + 278*T1^7*T2^10 - 270*T1^8*T2^10 - 
     34*T1^9*T2^10 + 326*T1^10*T2^10 - 185*T1^11*T2^10 + 52*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 95*T1^7*T2^11 - 5*T1^8*T2^11 + 
     145*T1^9*T2^11 - 185*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 52*T1^8*T2^12 - 68*T1^9*T2^12 + 
     52*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 32] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 228*T1^2*T2 - 156*T1^3*T2 + 30*T1^4*T2 + 108*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 228*T1*T2^2 - 163*T1^2*T2^2 - 
     396*T1^3*T2^2 + 667*T1^4*T2^2 - 704*T1^5*T2^2 + 201*T1^6*T2^2 + 
     60*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 156*T1*T2^3 - 396*T1^2*T2^3 + 
     1393*T1^3*T2^3 - 1097*T1^4*T2^3 + 487*T1^5*T2^3 + 631*T1^6*T2^3 - 
     522*T1^7*T2^3 + 66*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 30*T1*T2^4 + 
     667*T1^2*T2^4 - 1097*T1^3*T2^4 - 471*T1^4*T2^4 + 1395*T1^5*T2^4 - 
     1987*T1^6*T2^4 + 603*T1^7*T2^4 + 227*T1^8*T2^4 - 102*T1^9*T2^4 + 
     24*T2^5 + 108*T1*T2^5 - 704*T1^2*T2^5 + 487*T1^3*T2^5 + 1395*T1^4*T2^5 - 
     1544*T1^5*T2^5 + 1004*T1^6*T2^5 + 751*T1^7*T2^5 - 865*T1^8*T2^5 + 
     150*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     201*T1^2*T2^6 + 631*T1^3*T2^6 - 1987*T1^4*T2^6 + 1004*T1^5*T2^6 + 
     372*T1^6*T2^6 - 1472*T1^7*T2^6 + 745*T1^8*T2^6 + 193*T1^9*T2^6 - 
     187*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     60*T1^2*T2^7 - 522*T1^3*T2^7 + 603*T1^4*T2^7 + 751*T1^5*T2^7 - 
     1472*T1^6*T2^7 + 1076*T1^7*T2^7 + 107*T1^8*T2^7 - 749*T1^9*T2^7 + 
     332*T1^10*T2^7 - 12*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     66*T1^3*T2^8 + 227*T1^4*T2^8 - 865*T1^5*T2^8 + 745*T1^6*T2^8 + 
     107*T1^7*T2^8 - 771*T1^8*T2^8 + 835*T1^9*T2^8 - 213*T1^10*T2^8 - 
     66*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 102*T1^4*T2^9 + 
     150*T1^5*T2^9 + 193*T1^6*T2^9 - 749*T1^7*T2^9 + 835*T1^8*T2^9 - 
     569*T1^9*T2^9 + 24*T1^10*T2^9 + 120*T1^11*T2^9 - 34*T1^12*T2^9 + 
     36*T1^5*T2^10 - 187*T1^6*T2^10 + 332*T1^7*T2^10 - 213*T1^8*T2^10 + 
     24*T1^9*T2^10 + 177*T1^10*T2^10 - 132*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 12*T1^7*T2^11 - 66*T1^8*T2^11 + 
     120*T1^9*T2^11 - 132*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 33] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 42*T1^2 + 57*T1^3 - 42*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 180*T1^2*T2 - 174*T1^3*T2 + 24*T1^4*T2 + 60*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 42*T2^2 + 180*T1*T2^2 - 169*T1^2*T2^2 - 
      130*T1^3*T2^2 + 589*T1^4*T2^2 - 494*T1^5*T2^2 + 195*T1^6*T2^2 + 
      12*T1^7*T2^2 - 14*T1^8*T2^2 + 57*T2^3 - 174*T1*T2^3 - 130*T1^2*T2^3 + 
      781*T1^3*T2^3 - 1224*T1^4*T2^3 + 408*T1^5*T2^3 + 241*T1^6*T2^3 - 
      340*T1^7*T2^3 + 84*T1^8*T2^3 - 42*T2^4 + 24*T1*T2^4 + 589*T1^2*T2^4 - 
      1224*T1^3*T2^4 + 949*T1^4*T2^4 + 781*T1^5*T2^4 - 1287*T1^6*T2^4 + 
      676*T1^7*T2^4 + 5*T1^8*T2^4 - 84*T1^9*T2^4 + 14*T1^10*T2^4 + 18*T2^5 + 
      60*T1*T2^5 - 494*T1^2*T2^5 + 408*T1^3*T2^5 + 781*T1^4*T2^5 - 
      2334*T1^5*T2^5 + 1614*T1^6*T2^5 + 81*T1^7*T2^5 - 688*T1^8*T2^5 + 
      332*T1^9*T2^5 - 12*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      195*T1^2*T2^6 + 241*T1^3*T2^6 - 1287*T1^4*T2^6 + 1614*T1^5*T2^6 - 
      12*T1^6*T2^6 - 1646*T1^7*T2^6 + 1157*T1^8*T2^6 - 209*T1^9*T2^6 - 
      193*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      12*T1^2*T2^7 - 340*T1^3*T2^7 + 676*T1^4*T2^7 + 81*T1^5*T2^7 - 
      1646*T1^6*T2^7 + 2302*T1^7*T2^7 - 619*T1^8*T2^7 - 420*T1^9*T2^7 + 
      486*T1^10*T2^7 - 60*T1^11*T2^7 - 18*T1^12*T2^7 - 14*T1^2*T2^8 + 
      84*T1^3*T2^8 + 5*T1^4*T2^8 - 688*T1^5*T2^8 + 1157*T1^6*T2^8 - 
      619*T1^7*T2^8 - 1079*T1^8*T2^8 + 1212*T1^9*T2^8 - 579*T1^10*T2^8 - 
      24*T1^11*T2^8 + 42*T1^12*T2^8 - 84*T1^4*T2^9 + 332*T1^5*T2^9 - 
      209*T1^6*T2^9 - 420*T1^7*T2^9 + 1212*T1^8*T2^9 - 749*T1^9*T2^9 + 
      122*T1^10*T2^9 + 174*T1^11*T2^9 - 57*T1^12*T2^9 + 14*T1^4*T2^10 - 
      12*T1^5*T2^10 - 193*T1^6*T2^10 + 486*T1^7*T2^10 - 579*T1^8*T2^10 + 
      122*T1^9*T2^10 + 171*T1^10*T2^10 - 180*T1^11*T2^10 + 42*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 60*T1^7*T2^11 - 24*T1^8*T2^11 + 
      174*T1^9*T2^11 - 180*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 42*T1^8*T2^12 - 57*T1^9*T2^12 + 
      42*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 34] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 48*T1^2 + 69*T1^3 - 48*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 216*T1^2*T2 - 222*T1^3*T2 + 12*T1^4*T2 + 84*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 48*T2^2 + 216*T1*T2^2 - 351*T1^2*T2^2 + 
      47*T1^3*T2^2 + 629*T1^4*T2^2 - 497*T1^5*T2^2 + 129*T1^6*T2^2 + 
      24*T1^7*T2^2 - 16*T1^8*T2^2 + 69*T2^3 - 222*T1*T2^3 + 47*T1^2*T2^3 + 
      899*T1^3*T2^3 - 1753*T1^4*T2^3 + 473*T1^5*T2^3 + 443*T1^6*T2^3 - 
      385*T1^7*T2^3 + 96*T1^8*T2^3 - 48*T2^4 + 12*T1*T2^4 + 629*T1^2*T2^4 - 
      1753*T1^3*T2^4 + 1518*T1^4*T2^4 + 1506*T1^5*T2^4 - 2214*T1^6*T2^4 + 
      915*T1^7*T2^4 - 3*T1^8*T2^4 - 96*T1^9*T2^4 + 16*T1^10*T2^4 + 18*T2^5 + 
      84*T1*T2^5 - 497*T1^2*T2^5 + 473*T1^3*T2^5 + 1506*T1^4*T2^5 - 
      4720*T1^5*T2^5 + 3506*T1^6*T2^5 - 158*T1^7*T2^5 - 869*T1^8*T2^5 + 
      383*T1^9*T2^5 - 24*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      129*T1^2*T2^6 + 443*T1^3*T2^6 - 2214*T1^4*T2^6 + 3506*T1^5*T2^6 - 
      648*T1^6*T2^6 - 3074*T1^7*T2^6 + 2250*T1^8*T2^6 - 463*T1^9*T2^6 - 
      127*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      24*T1^2*T2^7 - 385*T1^3*T2^7 + 915*T1^4*T2^7 - 158*T1^5*T2^7 - 
      3074*T1^6*T2^7 + 5152*T1^7*T2^7 - 1822*T1^8*T2^7 - 427*T1^9*T2^7 + 
      495*T1^10*T2^7 - 84*T1^11*T2^7 - 18*T1^12*T2^7 - 16*T1^2*T2^8 + 
      96*T1^3*T2^8 - 3*T1^4*T2^8 - 869*T1^5*T2^8 + 2250*T1^6*T2^8 - 
      1822*T1^7*T2^8 - 1482*T1^8*T2^8 + 1799*T1^9*T2^8 - 635*T1^10*T2^8 - 
      12*T1^11*T2^8 + 48*T1^12*T2^8 - 96*T1^4*T2^9 + 383*T1^5*T2^9 - 
      463*T1^6*T2^9 - 427*T1^7*T2^9 + 1799*T1^8*T2^9 - 919*T1^9*T2^9 - 
      49*T1^10*T2^9 + 222*T1^11*T2^9 - 69*T1^12*T2^9 + 16*T1^4*T2^10 - 
      24*T1^5*T2^10 - 127*T1^6*T2^10 + 495*T1^7*T2^10 - 635*T1^8*T2^10 - 
      49*T1^9*T2^10 + 353*T1^10*T2^10 - 216*T1^11*T2^10 + 48*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 84*T1^7*T2^11 - 12*T1^8*T2^11 + 
      222*T1^9*T2^11 - 216*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 69*T1^9*T2^12 + 
      48*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 35] -> 
  {(7 - 13*T + 7*T^2)/T, (161 - 281*T1 + 161*T1^2 - 281*T2 - 427*T1*T2 + 
     1393*T1^2*T2 - 918*T1^3*T2 + 161*T2^2 + 1393*T1*T2^2 - 2052*T1^2*T2^2 + 
     119*T1^3*T2^2 + 847*T1^4*T2^2 - 918*T1*T2^3 + 119*T1^2*T2^3 + 
     1939*T1^3*T2^3 - 1555*T1^4*T2^3 + 847*T1^2*T2^4 - 1555*T1^3*T2^4 + 
     847*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2))}, 
 Knot[9, 36] -> {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 40*T1^2 + 45*T1^3 - 40*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      105*T1*T2 + 100*T1^2*T2 - 65*T1^3*T2 + 20*T1^4*T2 + 35*T1^5*T2 - 
      75*T1^6*T2 + 20*T1^7*T2 - 40*T2^2 + 100*T1*T2^2 + 152*T1^2*T2^2 - 
      315*T1^3*T2^2 + 382*T1^4*T2^2 - 379*T1^5*T2^2 + 264*T1^6*T2^2 + 
      20*T1^7*T2^2 - 24*T1^8*T2^2 + 45*T2^3 - 65*T1*T2^3 - 315*T1^2*T2^3 + 
      307*T1^3*T2^3 - 216*T1^4*T2^3 + 113*T1^5*T2^3 + 57*T1^6*T2^3 - 
      291*T1^7*T2^3 + 30*T1^8*T2^3 + 18*T1^9*T2^3 - 40*T2^4 + 20*T1*T2^4 + 
      382*T1^2*T2^4 - 216*T1^3*T2^4 + 119*T1^4*T2^4 - 71*T1^5*T2^4 - 
      17*T1^6*T2^4 + 126*T1^7*T2^4 + 188*T1^8*T2^4 - 50*T1^9*T2^4 - 
      8*T1^10*T2^4 + 25*T2^5 + 35*T1*T2^5 - 379*T1^2*T2^5 + 113*T1^3*T2^5 - 
      71*T1^4*T2^5 + 113*T1^5*T2^5 - 73*T1^6*T2^5 - 7*T1^7*T2^5 - 
      190*T1^8*T2^5 - 51*T1^9*T2^5 + 40*T1^10*T2^5 - 5*T2^6 - 75*T1*T2^6 + 
      264*T1^2*T2^6 + 57*T1^3*T2^6 - 17*T1^4*T2^6 - 73*T1^5*T2^6 - 
      12*T1^6*T2^6 + 85*T1^7*T2^6 + 27*T1^8*T2^6 + 163*T1^9*T2^6 - 
      60*T1^10*T2^6 - 5*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 20*T1^2*T2^7 - 
      291*T1^3*T2^7 + 126*T1^4*T2^7 - 7*T1^5*T2^7 + 85*T1^6*T2^7 - 
      101*T1^7*T2^7 + 57*T1^8*T2^7 - 177*T1^9*T2^7 + 37*T1^10*T2^7 + 
      25*T1^11*T2^7 - 5*T1^12*T2^7 - 24*T1^2*T2^8 + 30*T1^3*T2^8 + 
      188*T1^4*T2^8 - 190*T1^5*T2^8 + 27*T1^6*T2^8 + 57*T1^7*T2^8 - 
      109*T1^8*T2^8 + 152*T1^9*T2^8 - 6*T1^10*T2^8 - 40*T1^11*T2^8 + 
      8*T1^12*T2^8 + 18*T1^3*T2^9 - 50*T1^4*T2^9 - 51*T1^5*T2^9 + 
      163*T1^6*T2^9 - 177*T1^7*T2^9 + 152*T1^8*T2^9 - 87*T1^9*T2^9 - 
      27*T1^10*T2^9 + 45*T1^11*T2^9 - 9*T1^12*T2^9 - 8*T1^4*T2^10 + 
      40*T1^5*T2^10 - 60*T1^6*T2^10 + 37*T1^7*T2^10 - 6*T1^8*T2^10 - 
      27*T1^9*T2^10 + 52*T1^10*T2^10 - 40*T1^11*T2^10 + 8*T1^12*T2^10 - 
      5*T1^6*T2^11 + 25*T1^7*T2^11 - 40*T1^8*T2^11 + 45*T1^9*T2^11 - 
      40*T1^10*T2^11 + 25*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 8*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[9, 37] -> {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/T^2, 
   (-15 + 83*T1 - 143*T1^2 + 83*T1^3 - 15*T1^4 + 83*T2 - 420*T1*T2 + 
     574*T1^2*T2 - 86*T1^3*T2 - 134*T1^4*T2 + 39*T1^5*T2 - 143*T2^2 + 
     574*T1*T2^2 - 146*T1^2*T2^2 - 1336*T1^3*T2^2 + 1146*T1^4*T2^2 - 
     262*T1^5*T2^2 + 9*T1^6*T2^2 + 83*T2^3 - 86*T1*T2^3 - 1336*T1^2*T2^3 + 
     3301*T1^3*T2^3 - 2111*T1^4*T2^3 + 127*T1^5*T2^3 + 222*T1^6*T2^3 - 
     49*T1^7*T2^3 - 15*T2^4 - 134*T1*T2^4 + 1146*T1^2*T2^4 - 2111*T1^3*T2^4 + 
     408*T1^4*T2^4 + 1827*T1^5*T2^4 - 1212*T1^6*T2^4 + 174*T1^7*T2^4 + 
     17*T1^8*T2^4 + 39*T1*T2^5 - 262*T1^2*T2^5 + 127*T1^3*T2^5 + 
     1827*T1^4*T2^5 - 3585*T1^5*T2^5 + 1590*T1^6*T2^5 + 46*T1^7*T2^5 - 
     93*T1^8*T2^5 + 9*T1^2*T2^6 + 222*T1^3*T2^6 - 1212*T1^4*T2^6 + 
     1590*T1^5*T2^6 + 80*T1^6*T2^6 - 614*T1^7*T2^6 + 161*T1^8*T2^6 - 
     49*T1^3*T2^7 + 174*T1^4*T2^7 + 46*T1^5*T2^7 - 614*T1^6*T2^7 + 
     460*T1^7*T2^7 - 93*T1^8*T2^7 + 17*T1^4*T2^8 - 93*T1^5*T2^8 + 
     161*T1^6*T2^8 - 93*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 38] -> {((1 - T + T^2)*(5 - 9*T + 5*T^2))/T^2, 
   (20 - 35*T1 + 42*T1^2 - 35*T1^3 + 20*T1^4 - 35*T2 - 330*T1*T2 + 
     971*T1^2*T2 - 1339*T1^3*T2 + 1000*T1^4*T2 - 385*T1^5*T2 + 42*T2^2 + 
     971*T1*T2^2 - 1832*T1^2*T2^2 + 1154*T1^3*T2^2 + 828*T1^4*T2^2 - 
     1689*T1^5*T2^2 + 992*T1^6*T2^2 - 35*T2^3 - 1339*T1*T2^3 + 
     1154*T1^2*T2^3 + 1260*T1^3*T2^3 - 3528*T1^4*T2^3 + 2218*T1^5*T2^3 + 
     271*T1^6*T2^3 - 1085*T1^7*T2^3 + 20*T2^4 + 1000*T1*T2^4 + 
     828*T1^2*T2^4 - 3528*T1^3*T2^4 + 3468*T1^4*T2^4 + 560*T1^5*T2^4 - 
     2760*T1^6*T2^4 + 1560*T1^7*T2^4 + 520*T1^8*T2^4 - 385*T1*T2^5 - 
     1689*T1^2*T2^5 + 2218*T1^3*T2^5 + 560*T1^4*T2^5 - 4228*T1^5*T2^5 + 
     3282*T1^6*T2^5 - 79*T1^7*T2^5 - 1435*T1^8*T2^5 + 992*T1^2*T2^6 + 
     271*T1^3*T2^6 - 2760*T1^4*T2^6 + 3282*T1^5*T2^6 - 100*T1^6*T2^6 - 
     2389*T1^7*T2^6 + 1942*T1^8*T2^6 - 1085*T1^3*T2^7 + 1560*T1^4*T2^7 - 
     79*T1^5*T2^7 - 2389*T1^6*T2^7 + 2890*T1^7*T2^7 - 1435*T1^8*T2^7 + 
     520*T1^4*T2^8 - 1435*T1^5*T2^8 + 1942*T1^6*T2^8 - 1435*T1^7*T2^8 + 
     520*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[9, 39] -> {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   -((-84 + 391*T1 - 584*T1^2 + 391*T1^3 - 84*T1^4 + 391*T2 - 1556*T1*T2 + 
      1489*T1^2*T2 + 19*T1^3*T2 - 842*T1^4*T2 + 265*T1^5*T2 - 584*T2^2 + 
      1489*T1*T2^2 + 1414*T1^2*T2^2 - 4808*T1^3*T2^2 + 3682*T1^4*T2^2 - 
      275*T1^5*T2^2 - 206*T1^6*T2^2 + 391*T2^3 + 19*T1*T2^3 - 
      4808*T1^2*T2^3 + 6490*T1^3*T2^3 - 1658*T1^4*T2^3 - 2456*T1^5*T2^3 + 
      901*T1^6*T2^3 + 13*T1^7*T2^3 - 84*T2^4 - 842*T1*T2^4 + 3682*T1^2*T2^4 - 
      1658*T1^3*T2^4 - 3840*T1^4*T2^4 + 4894*T1^5*T2^4 - 1050*T1^6*T2^4 - 
      170*T1^7*T2^4 + 24*T1^8*T2^4 + 265*T1*T2^5 - 275*T1^2*T2^5 - 
      2456*T1^3*T2^5 + 4894*T1^4*T2^5 - 3254*T1^5*T2^5 - 104*T1^6*T2^5 + 
      607*T1^7*T2^5 - 113*T1^8*T2^5 - 206*T1^2*T2^6 + 901*T1^3*T2^6 - 
      1050*T1^4*T2^6 - 104*T1^5*T2^6 + 1218*T1^6*T2^6 - 863*T1^7*T2^6 + 
      172*T1^8*T2^6 + 13*T1^3*T2^7 - 170*T1^4*T2^7 + 607*T1^5*T2^7 - 
      863*T1^6*T2^7 + 544*T1^7*T2^7 - 113*T1^8*T2^7 + 24*T1^4*T2^8 - 
      113*T1^5*T2^8 + 172*T1^6*T2^8 - 113*T1^7*T2^8 + 24*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[9, 40] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-2 + 8*T1 - 10*T1^2 + 8*T1^3 - 2*T1^4 + 8*T2 - 31*T1*T2 + 36*T1^2*T2 - 
      27*T1^3*T2 + 4*T1^4*T2 + T1^5*T2 - 10*T2^2 + 36*T1*T2^2 - 
      26*T1^2*T2^2 - 3*T1^3*T2^2 + 34*T1^4*T2^2 - 24*T1^5*T2^2 + 
      5*T1^6*T2^2 + 8*T2^3 - 27*T1*T2^3 - 3*T1^2*T2^3 + 62*T1^3*T2^3 - 
      78*T1^4*T2^3 + 37*T1^5*T2^3 + 16*T1^6*T2^3 - 9*T1^7*T2^3 - 2*T2^4 + 
      4*T1*T2^4 + 34*T1^2*T2^4 - 78*T1^3*T2^4 + 12*T1^4*T2^4 + 58*T1^5*T2^4 - 
      96*T1^6*T2^4 + 20*T1^7*T2^4 + 4*T1^8*T2^4 + T1*T2^5 - 24*T1^2*T2^5 + 
      37*T1^3*T2^5 + 58*T1^4*T2^5 - 82*T1^5*T2^5 + 77*T1^6*T2^5 + 
      19*T1^7*T2^5 - 16*T1^8*T2^5 + 5*T1^2*T2^6 + 16*T1^3*T2^6 - 
      96*T1^4*T2^6 + 77*T1^5*T2^6 - 36*T1^6*T2^6 - 44*T1^7*T2^6 + 
      20*T1^8*T2^6 - 9*T1^3*T2^7 + 20*T1^4*T2^7 + 19*T1^5*T2^7 - 
      44*T1^6*T2^7 + 55*T1^7*T2^7 - 16*T1^8*T2^7 + 4*T1^4*T2^8 - 
      16*T1^5*T2^8 + 20*T1^6*T2^8 - 16*T1^7*T2^8 + 4*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 41] -> 
  {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   (-51 + 201*T1 - 315*T1^2 + 201*T1^3 - 51*T1^4 + 201*T2 - 698*T1*T2 + 
     880*T1^2*T2 - 236*T1^3*T2 - 158*T1^4*T2 + 93*T1^5*T2 - 315*T2^2 + 
     880*T1*T2^2 - 519*T1^2*T2^2 - 1035*T1^3*T2^2 + 1305*T1^4*T2^2 - 
     488*T1^5*T2^2 + 27*T1^6*T2^2 + 201*T2^3 - 236*T1*T2^3 - 1035*T1^2*T2^3 + 
     2964*T1^3*T2^3 - 2484*T1^4*T2^3 + 333*T1^5*T2^3 + 376*T1^6*T2^3 - 
     123*T1^7*T2^3 - 51*T2^4 - 158*T1*T2^4 + 1305*T1^2*T2^4 - 
     2484*T1^3*T2^4 + 1188*T1^4*T2^4 + 1692*T1^5*T2^4 - 1467*T1^6*T2^4 + 
     274*T1^7*T2^4 + 57*T1^8*T2^4 + 93*T1*T2^5 - 488*T1^2*T2^5 + 
     333*T1^3*T2^5 + 1692*T1^4*T2^5 - 3756*T1^5*T2^5 + 1701*T1^6*T2^5 + 
     124*T1^7*T2^5 - 231*T1^8*T2^5 + 27*T1^2*T2^6 + 376*T1^3*T2^6 - 
     1467*T1^4*T2^6 + 1701*T1^5*T2^6 + 357*T1^6*T2^6 - 992*T1^7*T2^6 + 
     369*T1^8*T2^6 - 123*T1^3*T2^7 + 274*T1^4*T2^7 + 124*T1^5*T2^7 - 
     992*T1^6*T2^7 + 814*T1^7*T2^7 - 231*T1^8*T2^7 + 57*T1^4*T2^8 - 
     231*T1^5*T2^8 + 369*T1^6*T2^8 - 231*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[9, 42] -> 
  {-((1 - 2*T + T^2 - 2*T^3 + T^4)/T^2), 
   -((-3 + 6*T1 - 3*T1^2 + 6*T1^3 - 3*T1^4 + 6*T2 - 8*T1*T2 - 2*T1^2*T2 - 
      8*T1^3*T2 - 2*T1^4*T2 + 4*T1^5*T2 - 3*T2^2 - 2*T1*T2^2 + 12*T1^2*T2^2 - 
      2*T1^3*T2^2 + 12*T1^4*T2^2 - 6*T1^5*T2^2 - T1^6*T2^2 + 6*T2^3 - 
      8*T1*T2^3 - 2*T1^2*T2^3 - 4*T1^3*T2^3 + 8*T1^4*T2^3 - 2*T1^5*T2^3 + 
      2*T1^6*T2^3 - 3*T2^4 - 2*T1*T2^4 + 12*T1^2*T2^4 + 8*T1^3*T2^4 - 
      24*T1^4*T2^4 - 2*T1^7*T2^4 + T1^8*T2^4 + 4*T1*T2^5 - 6*T1^2*T2^5 - 
      2*T1^3*T2^5 + 12*T1^5*T2^5 - 2*T1^6*T2^5 + 4*T1^7*T2^5 - 2*T1^8*T2^5 - 
      T1^2*T2^6 + 2*T1^3*T2^6 - 2*T1^5*T2^6 - 2*T1^7*T2^6 + T1^8*T2^6 - 
      2*T1^4*T2^7 + 4*T1^5*T2^7 - 2*T1^6*T2^7 + 4*T1^7*T2^7 - 2*T1^8*T2^7 + 
      T1^4*T2^8 - 2*T1^5*T2^8 + T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[9, 43] -> 
  {-((1 - 3*T + 2*T^2 - T^3 + 2*T^4 - 3*T^5 + T^6)/T^3), 
   -((-5 + 15*T1 - 10*T1^2 + 5*T1^3 - 10*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 - 6*T1^2*T2 + 9*T1^3*T2 + 18*T1^4*T2 - 21*T1^5*T2 - 
      21*T1^6*T2 + 12*T1^7*T2 - 10*T2^2 - 6*T1*T2^2 + 81*T1^2*T2^2 - 
      43*T1^3*T2^2 + 3*T1^4*T2^2 - 35*T1^5*T2^2 + 85*T1^6*T2^2 - 
      18*T1^7*T2^2 - 6*T1^8*T2^2 + 5*T2^3 + 9*T1*T2^3 - 43*T1^2*T2^3 - 
      9*T1^3*T2^3 + 17*T1^4*T2^3 + 20*T1^5*T2^3 - 33*T1^6*T2^3 - 
      25*T1^7*T2^3 + 12*T1^8*T2^3 + 2*T1^9*T2^3 - 10*T2^4 + 18*T1*T2^4 + 
      3*T1^2*T2^4 + 17*T1^3*T2^4 - 20*T1^4*T2^4 + 8*T1^5*T2^4 + 
      15*T1^7*T2^4 + T1^8*T2^4 - 2*T1^10*T2^4 + 15*T2^5 - 21*T1*T2^5 - 
      35*T1^2*T2^5 + 20*T1^3*T2^5 + 8*T1^4*T2^5 + 3*T1^5*T2^5 - 
      21*T1^6*T2^5 + 4*T1^7*T2^5 + 7*T1^8*T2^5 - 13*T1^9*T2^5 + 
      6*T1^10*T2^5 - 5*T2^6 - 21*T1*T2^6 + 85*T1^2*T2^6 - 33*T1^3*T2^6 - 
      21*T1^5*T2^6 + 12*T1^6*T2^6 + 13*T1^7*T2^6 - 16*T1^8*T2^6 + 
      9*T1^9*T2^6 - 3*T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 12*T1*T2^7 - 
      18*T1^2*T2^7 - 25*T1^3*T2^7 + 15*T1^4*T2^7 + 4*T1^5*T2^7 + 
      13*T1^6*T2^7 - 11*T1^7*T2^7 + 2*T1^9*T2^7 - 3*T1^10*T2^7 + 
      9*T1^11*T2^7 - 3*T1^12*T2^7 - 6*T1^2*T2^8 + 12*T1^3*T2^8 + T1^4*T2^8 + 
      7*T1^5*T2^8 - 16*T1^6*T2^8 + 4*T1^8*T2^8 + 5*T1^9*T2^8 - T1^10*T2^8 - 
      6*T1^11*T2^8 + 2*T1^12*T2^8 + 2*T1^3*T2^9 - 13*T1^5*T2^9 + 
      9*T1^6*T2^9 + 2*T1^7*T2^9 + 5*T1^8*T2^9 - 15*T1^9*T2^9 + 5*T1^10*T2^9 + 
      3*T1^11*T2^9 - T1^12*T2^9 - 2*T1^4*T2^10 + 6*T1^5*T2^10 - 
      3*T1^6*T2^10 - 3*T1^7*T2^10 - T1^8*T2^10 + 5*T1^9*T2^10 + T1^10*T2^10 - 
      6*T1^11*T2^10 + 2*T1^12*T2^10 - 3*T1^6*T2^11 + 9*T1^7*T2^11 - 
      6*T1^8*T2^11 + 3*T1^9*T2^11 - 6*T1^10*T2^11 + 9*T1^11*T2^11 - 
      3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 2*T1^8*T2^12 - T1^9*T2^12 + 
      2*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[9, 44] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)/T^2, 
   (-2 + 8*T1 - 14*T1^2 + 8*T1^3 - 2*T1^4 + 8*T2 - 28*T1*T2 + 39*T1^2*T2 - 
     5*T1^3*T2 - 8*T1^4*T2 + 4*T1^5*T2 - 14*T2^2 + 39*T1*T2^2 - 
     25*T1^2*T2^2 - 59*T1^3*T2^2 + 59*T1^4*T2^2 - 17*T1^5*T2^2 + 8*T2^3 - 
     5*T1*T2^3 - 59*T1^2*T2^3 + 148*T1^3*T2^3 - 100*T1^4*T2^3 - 3*T1^5*T2^3 + 
     15*T1^6*T2^3 - 4*T1^7*T2^3 - 2*T2^4 - 8*T1*T2^4 + 59*T1^2*T2^4 - 
     100*T1^3*T2^4 + 48*T1^4*T2^4 + 76*T1^5*T2^4 - 41*T1^6*T2^4 + 
     8*T1^7*T2^4 + 2*T1^8*T2^4 + 4*T1*T2^5 - 17*T1^2*T2^5 - 3*T1^3*T2^5 + 
     76*T1^4*T2^5 - 172*T1^5*T2^5 + 53*T1^6*T2^5 + 3*T1^7*T2^5 - 
     8*T1^8*T2^5 + 15*T1^3*T2^6 - 41*T1^4*T2^6 + 53*T1^5*T2^6 + 
     43*T1^6*T2^6 - 41*T1^7*T2^6 + 14*T1^8*T2^6 - 4*T1^3*T2^7 + 8*T1^4*T2^7 + 
     3*T1^5*T2^7 - 41*T1^6*T2^7 + 28*T1^7*T2^7 - 8*T1^8*T2^7 + 2*T1^4*T2^8 - 
     8*T1^5*T2^8 + 14*T1^6*T2^8 - 8*T1^7*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[9, 45] -> 
  {-((1 - 6*T + 9*T^2 - 6*T^3 + T^4)/T^2), 
   -((-1 + 6*T1 - 9*T1^2 + 6*T1^3 - T1^4 + 6*T2 - 34*T1*T2 + 54*T1^2*T2 - 
      36*T1^3*T2 + 8*T1^4*T2 - 9*T2^2 + 54*T1*T2^2 - 100*T1^2*T2^2 + 
      34*T1^3*T2^2 + 44*T1^4*T2^2 - 54*T1^5*T2^2 + 9*T1^6*T2^2 + 6*T2^3 - 
      36*T1*T2^3 + 34*T1^2*T2^3 + 266*T1^3*T2^3 - 418*T1^4*T2^3 + 
      250*T1^5*T2^3 + 18*T1^6*T2^3 - 12*T1^7*T2^3 - T2^4 + 8*T1*T2^4 + 
      44*T1^2*T2^4 - 418*T1^3*T2^4 + 312*T1^4*T2^4 + 134*T1^5*T2^4 - 
      352*T1^6*T2^4 + 56*T1^7*T2^4 + 3*T1^8*T2^4 - 54*T1^2*T2^5 + 
      250*T1^3*T2^5 + 134*T1^4*T2^5 - 550*T1^5*T2^5 + 466*T1^6*T2^5 - 
      18*T1^8*T2^5 + 9*T1^2*T2^6 + 18*T1^3*T2^6 - 352*T1^4*T2^6 + 
      466*T1^5*T2^6 - 208*T1^6*T2^6 - 90*T1^7*T2^6 + 27*T1^8*T2^6 - 
      12*T1^3*T2^7 + 56*T1^4*T2^7 - 90*T1^6*T2^7 + 98*T1^7*T2^7 - 
      18*T1^8*T2^7 + 3*T1^4*T2^8 - 18*T1^5*T2^8 + 27*T1^6*T2^8 - 
      18*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 46] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   -((-5 + 11*T1 - 5*T1^2 + 11*T2 - 32*T1*T2 + 38*T1^2*T2 - 9*T1^3*T2 - 
      5*T2^2 + 38*T1*T2^2 - 72*T1^2*T2^2 - 2*T1^3*T2^2 + 11*T1^4*T2^2 - 
      9*T1*T2^3 - 2*T1^2*T2^3 + 68*T1^3*T2^3 - 29*T1^4*T2^3 + 11*T1^2*T2^4 - 
      29*T1^3*T2^4 + 11*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[9, 47] -> {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 24*T1^2 + 20*T1^3 - 24*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 48*T1^2*T2 - 8*T1^3*T2 + 36*T1^4*T2 + 8*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 24*T2^2 + 48*T1*T2^2 + 36*T1^2*T2^2 - 
     120*T1^3*T2^2 + 24*T1^4*T2^2 - 132*T1^5*T2^2 + 96*T1^6*T2^2 - 
     12*T1^8*T2^2 + 20*T2^3 - 8*T1*T2^3 - 120*T1^2*T2^3 + 145*T1^3*T2^3 + 
     25*T1^4*T2^3 + 139*T1^5*T2^3 - 5*T1^6*T2^3 - 90*T1^7*T2^3 + 
     28*T1^8*T2^3 + 5*T1^9*T2^3 - 24*T2^4 + 36*T1*T2^4 + 24*T1^2*T2^4 + 
     25*T1^3*T2^4 - 195*T1^4*T2^4 + 11*T1^5*T2^4 - 115*T1^6*T2^4 + 
     105*T1^7*T2^4 + 8*T1^8*T2^4 - 20*T1^9*T2^4 + 16*T2^5 + 8*T1*T2^5 - 
     132*T1^2*T2^5 + 139*T1^3*T2^5 + 11*T1^4*T2^5 + 178*T1^5*T2^5 - 
     112*T1^6*T2^5 + 23*T1^7*T2^5 - 43*T1^8*T2^5 + 6*T1^9*T2^5 + 
     16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 96*T1^2*T2^6 - 
     5*T1^3*T2^6 - 115*T1^4*T2^6 - 112*T1^5*T2^6 + 36*T1^6*T2^6 + 
     112*T1^7*T2^6 - 39*T1^8*T2^6 + 61*T1^9*T2^6 - 52*T1^10*T2^6 + 
     8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 - 90*T1^3*T2^7 + 
     105*T1^4*T2^7 + 23*T1^5*T2^7 + 112*T1^6*T2^7 - 178*T1^7*T2^7 + 
     35*T1^8*T2^7 - 77*T1^9*T2^7 + 48*T1^10*T2^7 + 8*T1^11*T2^7 - 
     8*T1^12*T2^7 - 12*T1^2*T2^8 + 28*T1^3*T2^8 + 8*T1^4*T2^8 - 
     43*T1^5*T2^8 - 39*T1^6*T2^8 + 35*T1^7*T2^8 + 41*T1^8*T2^8 + 
     37*T1^9*T2^8 - 8*T1^10*T2^8 - 28*T1^11*T2^8 + 12*T1^12*T2^8 + 
     5*T1^3*T2^9 - 20*T1^4*T2^9 + 6*T1^5*T2^9 + 61*T1^6*T2^9 - 77*T1^7*T2^9 + 
     37*T1^8*T2^9 - 89*T1^9*T2^9 + 36*T1^10*T2^9 + 16*T1^11*T2^9 - 
     10*T1^12*T2^9 + 16*T1^5*T2^10 - 52*T1^6*T2^10 + 48*T1^7*T2^10 - 
     8*T1^8*T2^10 + 36*T1^9*T2^10 + 8*T1^10*T2^10 - 32*T1^11*T2^10 + 
     12*T1^12*T2^10 - 4*T1^5*T2^11 + 8*T1^6*T2^11 + 8*T1^7*T2^11 - 
     28*T1^8*T2^11 + 16*T1^9*T2^11 - 32*T1^10*T2^11 + 28*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 12*T1^8*T2^12 - 
     10*T1^9*T2^12 + 12*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[9, 48] -> 
  {-((1 - 7*T + 11*T^2 - 7*T^3 + T^4)/T^2), 
   -((-3 + 21*T1 - 33*T1^2 + 21*T1^3 - 3*T1^4 + 21*T2 - 133*T1*T2 + 
      133*T1^2*T2 + 7*T1^3*T2 - 77*T1^4*T2 + 14*T1^5*T2 - 33*T2^2 + 
      133*T1*T2^2 + 284*T1^2*T2^2 - 718*T1^3*T2^2 + 504*T1^4*T2^2 - 
      21*T1^5*T2^2 - 11*T1^6*T2^2 + 21*T2^3 + 7*T1*T2^3 - 718*T1^2*T2^3 + 
      966*T1^3*T2^3 - 252*T1^4*T2^3 - 333*T1^5*T2^3 + 77*T1^6*T2^3 - 3*T2^4 - 
      77*T1*T2^4 + 504*T1^2*T2^4 - 252*T1^3*T2^4 - 540*T1^4*T2^4 + 
      700*T1^5*T2^4 - 138*T1^6*T2^4 - 7*T1^7*T2^4 + T1^8*T2^4 + 14*T1*T2^5 - 
      21*T1^2*T2^5 - 333*T1^3*T2^5 + 700*T1^4*T2^5 - 518*T1^5*T2^5 + 
      52*T1^6*T2^5 + 49*T1^7*T2^5 - 7*T1^8*T2^5 - 11*T1^2*T2^6 + 
      77*T1^3*T2^6 - 138*T1^4*T2^6 + 52*T1^5*T2^6 + 82*T1^6*T2^6 - 
      77*T1^7*T2^6 + 11*T1^8*T2^6 - 7*T1^4*T2^7 + 49*T1^5*T2^7 - 
      77*T1^6*T2^7 + 49*T1^7*T2^7 - 7*T1^8*T2^7 + T1^4*T2^8 - 7*T1^5*T2^8 + 
      11*T1^6*T2^8 - 7*T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[9, 49] -> {(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4)/T^2, 
   -((111 - 219*T1 + 255*T1^2 - 219*T1^3 + 111*T1^4 - 219*T2 + 268*T1*T2 - 
      179*T1^2*T2 + 55*T1^3*T2 + 106*T1^4*T2 - 165*T1^5*T2 + 255*T2^2 - 
      179*T1*T2^2 + 36*T1^2*T2^2 + 54*T1^3*T2^2 - 132*T1^4*T2^2 + 
      73*T1^5*T2^2 + 129*T1^6*T2^2 - 219*T2^3 + 55*T1*T2^3 + 54*T1^2*T2^3 - 
      42*T1^3*T2^3 + 18*T1^4*T2^3 + 54*T1^5*T2^3 - 143*T1^6*T2^3 - 
      57*T1^7*T2^3 + 111*T2^4 + 106*T1*T2^4 - 132*T1^2*T2^4 + 18*T1^3*T2^4 + 
      36*T1^4*T2^4 - 54*T1^5*T2^4 + 48*T1^6*T2^4 + 106*T1^7*T2^4 + 
      3*T1^8*T2^4 - 165*T1*T2^5 + 73*T1^2*T2^5 + 54*T1^3*T2^5 - 
      54*T1^4*T2^5 + 6*T1^5*T2^5 + 54*T1^6*T2^5 - 125*T1^7*T2^5 - 
      3*T1^8*T2^5 + 129*T1^2*T2^6 - 143*T1^3*T2^6 + 48*T1^4*T2^6 + 
      54*T1^5*T2^6 - 120*T1^6*T2^6 + 109*T1^7*T2^6 + 3*T1^8*T2^6 - 
      57*T1^3*T2^7 + 106*T1^4*T2^7 - 125*T1^5*T2^7 + 109*T1^6*T2^7 - 
      56*T1^7*T2^7 - 3*T1^8*T2^7 + 3*T1^4*T2^8 - 3*T1^5*T2^8 + 3*T1^6*T2^8 - 
      3*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 1] -> {-((4 - 9*T + 4*T^2)/T), 
   (-2*(-14 + 29*T1 - 14*T1^2 + 29*T2 - 102*T1*T2 + 132*T1^2*T2 - 
      43*T1^3*T2 - 14*T2^2 + 132*T1*T2^2 - 210*T1^2*T2^2 - 12*T1^3*T2^2 + 
      50*T1^4*T2^2 - 43*T1*T2^3 - 12*T1^2*T2^3 + 222*T1^3*T2^3 - 
      115*T1^4*T2^3 + 50*T1^2*T2^4 - 115*T1^3*T2^4 + 50*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[10, 2] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 3*T^6 - 3*T^7 + T^8)/T^4), 
   -((-1 + 3*T1 - 3*T1^2 + 3*T1^3 - 3*T1^4 + 3*T1^5 - 3*T1^6 + 3*T1^7 - 
      T1^8 + 3*T2 - 9*T1*T2 + 9*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 9*T1^5*T2 + 
      9*T1^6*T2 - 9*T1^7*T2 + 3*T1^8*T2 - 3*T2^2 + 9*T1*T2^2 - 6*T1^2*T2^2 + 
      2*T1^3*T2^2 - 2*T1^4*T2^2 + 2*T1^5*T2^2 - 2*T1^6*T2^2 + 2*T1^7*T2^2 + 
      6*T1^8*T2^2 - 9*T1^9*T2^2 + 3*T1^10*T2^2 + 3*T2^3 - 9*T1*T2^3 + 
      2*T1^2*T2^3 + 6*T1^3*T2^3 - 12*T1^8*T2^3 + 11*T1^9*T2^3 + 
      9*T1^10*T2^3 - 6*T1^11*T2^3 - 3*T2^4 + 9*T1*T2^4 - 2*T1^2*T2^4 - 
      12*T1^4*T2^4 + 2*T1^5*T2^4 - 2*T1^6*T2^4 + 2*T1^7*T2^4 + 12*T1^8*T2^4 - 
      20*T1^10*T2^4 - 9*T1^11*T2^4 + 9*T1^12*T2^4 + 3*T2^5 - 9*T1*T2^5 + 
      2*T1^2*T2^5 + 2*T1^4*T2^5 + 21*T1^5*T2^5 - 9*T1^6*T2^5 + 9*T1^7*T2^5 - 
      27*T1^8*T2^5 + 11*T1^9*T2^5 + 29*T1^11*T2^5 + 9*T1^12*T2^5 - 
      12*T1^13*T2^5 - 3*T2^6 + 9*T1*T2^6 - 2*T1^2*T2^6 - 2*T1^4*T2^6 - 
      9*T1^5*T2^6 - 18*T1^6*T2^6 + 2*T1^7*T2^6 + 18*T1^8*T2^6 + 9*T1^9*T2^6 - 
      20*T1^10*T2^6 - 38*T1^12*T2^6 - 9*T1^13*T2^6 + 15*T1^14*T2^6 + 3*T2^7 - 
      9*T1*T2^7 + 2*T1^2*T2^7 + 2*T1^4*T2^7 + 9*T1^5*T2^7 + 2*T1^6*T2^7 + 
      36*T1^7*T2^7 - 42*T1^8*T2^7 + 11*T1^9*T2^7 - 9*T1^10*T2^7 + 
      29*T1^11*T2^7 + 47*T1^13*T2^7 + 9*T1^14*T2^7 - 18*T1^15*T2^7 - T2^8 + 
      3*T1*T2^8 + 6*T1^2*T2^8 - 12*T1^3*T2^8 + 12*T1^4*T2^8 - 27*T1^5*T2^8 + 
      18*T1^6*T2^8 - 42*T1^7*T2^8 + 42*T1^9*T2^8 - 48*T1^10*T2^8 + 
      39*T1^11*T2^8 - 72*T1^12*T2^8 + 36*T1^13*T2^8 - 96*T1^14*T2^8 + 
      33*T1^15*T2^8 + 7*T1^16*T2^8 - 9*T1^2*T2^9 + 11*T1^3*T2^9 + 
      11*T1^5*T2^9 + 9*T1^6*T2^9 + 11*T1^7*T2^9 + 42*T1^8*T2^9 - 
      36*T1^9*T2^9 + 20*T1^10*T2^9 - 9*T1^11*T2^9 + 38*T1^12*T2^9 + 
      56*T1^14*T2^9 + 9*T1^15*T2^9 - 21*T1^16*T2^9 + 3*T1^2*T2^10 + 
      9*T1^3*T2^10 - 20*T1^4*T2^10 - 20*T1^6*T2^10 - 9*T1^7*T2^10 - 
      48*T1^8*T2^10 + 20*T1^9*T2^10 - 12*T1^10*T2^10 + 9*T1^11*T2^10 - 
      38*T1^12*T2^10 - 56*T1^14*T2^10 - 9*T1^15*T2^10 + 21*T1^16*T2^10 - 
      6*T1^3*T2^11 - 9*T1^4*T2^11 + 29*T1^5*T2^11 + 29*T1^7*T2^11 + 
      39*T1^8*T2^11 - 9*T1^9*T2^11 + 9*T1^10*T2^11 - 9*T1^11*T2^11 + 
      38*T1^12*T2^11 + 56*T1^14*T2^11 + 9*T1^15*T2^11 - 21*T1^16*T2^11 + 
      9*T1^4*T2^12 + 9*T1^5*T2^12 - 38*T1^6*T2^12 - 72*T1^8*T2^12 + 
      38*T1^9*T2^12 - 38*T1^10*T2^12 + 38*T1^11*T2^12 - 48*T1^12*T2^12 - 
      56*T1^14*T2^12 - 9*T1^15*T2^12 + 21*T1^16*T2^12 - 12*T1^5*T2^13 - 
      9*T1^6*T2^13 + 47*T1^7*T2^13 + 36*T1^8*T2^13 + 18*T1^13*T2^13 + 
      56*T1^14*T2^13 + 9*T1^15*T2^13 - 21*T1^16*T2^13 + 15*T1^6*T2^14 + 
      9*T1^7*T2^14 - 96*T1^8*T2^14 + 56*T1^9*T2^14 - 56*T1^10*T2^14 + 
      56*T1^11*T2^14 - 56*T1^12*T2^14 + 56*T1^13*T2^14 - 84*T1^14*T2^14 - 
      9*T1^15*T2^14 + 21*T1^16*T2^14 - 18*T1^7*T2^15 + 33*T1^8*T2^15 + 
      9*T1^9*T2^15 - 9*T1^10*T2^15 + 9*T1^11*T2^15 - 9*T1^12*T2^15 + 
      9*T1^13*T2^15 - 9*T1^14*T2^15 + 45*T1^15*T2^15 - 21*T1^16*T2^15 + 
      7*T1^8*T2^16 - 21*T1^9*T2^16 + 21*T1^10*T2^16 - 21*T1^11*T2^16 + 
      21*T1^12*T2^16 - 21*T1^13*T2^16 + 21*T1^14*T2^16 - 21*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[10, 3] -> {-(((-3 + 2*T)*(-2 + 3*T))/T), 
   -((-171 + 367*T1 - 171*T1^2 + 367*T2 - 888*T1*T2 + 594*T1^2*T2 - 
      101*T1^3*T2 - 171*T2^2 + 594*T1*T2^2 - 420*T1^2*T2^2 - 342*T1^3*T2^2 + 
      261*T1^4*T2^2 - 101*T1*T2^3 - 342*T1^2*T2^3 + 1140*T1^3*T2^3 - 
      569*T1^4*T2^3 + 261*T1^2*T2^4 - 569*T1^3*T2^4 + 261*T1^4*T2^4)/
     (T1^3*T2^2*(-1 + T1*T2)))}, Knot[10, 4] -> 
  {-((3 - 7*T + 7*T^2 - 7*T^3 + 3*T^4)/T^2), 
   -((-36 + 86*T1 - 86*T1^2 + 86*T1^3 - 36*T1^4 + 86*T2 - 183*T1*T2 + 
      147*T1^2*T2 - 147*T1^3*T2 + 27*T1^4*T2 + 23*T1^5*T2 - 86*T2^2 + 
      147*T1*T2^2 - 40*T1^2*T2^2 + 28*T1^3*T2^2 + 128*T1^4*T2^2 - 
      147*T1^5*T2^2 + 40*T1^6*T2^2 + 86*T2^3 - 147*T1*T2^3 + 28*T1^2*T2^3 - 
      50*T1^3*T2^3 - 106*T1^4*T2^3 + 77*T1^5*T2^3 + 147*T1^6*T2^3 - 
      103*T1^7*T2^3 - 36*T2^4 + 27*T1*T2^4 + 128*T1^2*T2^4 - 106*T1^3*T2^4 + 
      132*T1^4*T2^4 + 34*T1^5*T2^4 - 306*T1^6*T2^4 + 69*T1^7*T2^4 + 
      72*T1^8*T2^4 + 23*T1*T2^5 - 147*T1^2*T2^5 + 77*T1^3*T2^5 + 
      34*T1^4*T2^5 - 22*T1^5*T2^5 + 126*T1^6*T2^5 + 147*T1^7*T2^5 - 
      166*T1^8*T2^5 + 40*T1^2*T2^6 + 147*T1^3*T2^6 - 306*T1^4*T2^6 + 
      126*T1^5*T2^6 - 138*T1^6*T2^6 - 147*T1^7*T2^6 + 166*T1^8*T2^6 - 
      103*T1^3*T2^7 + 69*T1^4*T2^7 + 147*T1^5*T2^7 - 147*T1^6*T2^7 + 
      279*T1^7*T2^7 - 166*T1^8*T2^7 + 72*T1^4*T2^8 - 166*T1^5*T2^8 + 
      166*T1^6*T2^8 - 166*T1^7*T2^8 + 72*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 5] -> 
  {((1 - T + T^2)*(1 - 2*T + 2*T^2 - T^3 + 2*T^4 - 2*T^5 + T^6))/T^4, 
   (-6 + 18*T1 - 30*T1^2 + 30*T1^3 - 30*T1^4 + 30*T1^5 - 30*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 45*T1^2*T2 - 15*T1^3*T2 + 15*T1^4*T2 - 
     15*T1^5*T2 + 15*T1^6*T2 + 21*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     30*T2^2 + 45*T1*T2^2 - 35*T1^2*T2^2 - 17*T1^3*T2^2 - 21*T1^4*T2^2 + 
     21*T1^5*T2^2 - 21*T1^6*T2^2 - 37*T1^7*T2^2 + 5*T1^8*T2^2 + 
     15*T1^9*T2^2 - 20*T1^10*T2^2 + 30*T2^3 - 15*T1*T2^3 - 17*T1^2*T2^3 + 
     66*T1^3*T2^3 + 24*T1^4*T2^3 + 54*T1^7*T2^3 + 36*T1^8*T2^3 - 
     32*T1^9*T2^3 + 15*T1^10*T2^3 + 15*T1^11*T2^3 - 30*T2^4 + 15*T1*T2^4 - 
     21*T1^2*T2^4 + 24*T1^3*T2^4 - 146*T1^4*T2^4 + 82*T1^5*T2^4 - 
     90*T1^6*T2^4 + 42*T1^7*T2^4 - 126*T1^8*T2^4 + 44*T1^9*T2^4 - 
     11*T1^10*T2^4 - 15*T1^11*T2^4 - 10*T1^12*T2^4 + 30*T2^5 - 15*T1*T2^5 + 
     21*T1^2*T2^5 + 82*T1^4*T2^5 + 11*T1^5*T2^5 + 19*T1^6*T2^5 + 
     19*T1^7*T2^5 + 51*T1^8*T2^5 + 27*T1^9*T2^5 + 6*T1^11*T2^5 + 
     15*T1^12*T2^5 + 5*T1^13*T2^5 - 30*T2^6 + 15*T1*T2^6 - 21*T1^2*T2^6 - 
     90*T1^4*T2^6 + 19*T1^5*T2^6 - 66*T1^6*T2^6 + 24*T1^7*T2^6 - 
     66*T1^8*T2^6 + 9*T1^9*T2^6 - 40*T1^10*T2^6 - T1^12*T2^6 - 
     15*T1^13*T2^6 + 18*T2^7 + 21*T1*T2^7 - 37*T1^2*T2^7 + 54*T1^3*T2^7 + 
     42*T1^4*T2^7 + 19*T1^5*T2^7 + 24*T1^6*T2^7 + 20*T1^7*T2^7 + 
     4*T1^8*T2^7 + 19*T1^9*T2^7 - T1^10*T2^7 + 37*T1^11*T2^7 - 
     16*T1^12*T2^7 + 8*T1^13*T2^7 + 9*T1^14*T2^7 - 3*T1^15*T2^7 - 6*T2^8 - 
     27*T1*T2^8 + 5*T1^2*T2^8 + 36*T1^3*T2^8 - 126*T1^4*T2^8 + 51*T1^5*T2^8 - 
     66*T1^6*T2^8 + 4*T1^7*T2^8 - 4*T1^9*T2^8 + 4*T1^10*T2^8 - 
     19*T1^11*T2^8 - 6*T1^12*T2^8 + 16*T1^13*T2^8 - 17*T1^14*T2^8 + 
     3*T1^15*T2^8 + 2*T1^16*T2^8 + 15*T1*T2^9 + 15*T1^2*T2^9 - 32*T1^3*T2^9 + 
     44*T1^4*T2^9 + 27*T1^5*T2^9 + 9*T1^6*T2^9 + 19*T1^7*T2^9 - 4*T1^8*T2^9 - 
     20*T1^9*T2^9 + 14*T1^10*T2^9 - 11*T1^11*T2^9 + 22*T1^12*T2^9 - 
     26*T1^13*T2^9 + 13*T1^14*T2^9 + 3*T1^15*T2^9 - 6*T1^16*T2^9 - 
     20*T1^2*T2^10 + 15*T1^3*T2^10 - 11*T1^4*T2^10 - 40*T1^6*T2^10 - 
     T1^7*T2^10 + 4*T1^8*T2^10 + 14*T1^9*T2^10 + 4*T1^10*T2^10 - 
     11*T1^11*T2^10 + 10*T1^12*T2^10 + 9*T1^14*T2^10 - 15*T1^15*T2^10 + 
     10*T1^16*T2^10 + 15*T1^3*T2^11 - 15*T1^4*T2^11 + 6*T1^5*T2^11 + 
     37*T1^7*T2^11 - 19*T1^8*T2^11 - 11*T1^9*T2^11 - 11*T1^10*T2^11 + 
     21*T1^11*T2^11 - 18*T1^12*T2^11 - 9*T1^14*T2^11 + 15*T1^15*T2^11 - 
     10*T1^16*T2^11 - 10*T1^4*T2^12 + 15*T1^5*T2^12 - T1^6*T2^12 - 
     16*T1^7*T2^12 - 6*T1^8*T2^12 + 22*T1^9*T2^12 + 10*T1^10*T2^12 - 
     18*T1^11*T2^12 + 14*T1^12*T2^12 + 4*T1^13*T2^12 + 9*T1^14*T2^12 - 
     15*T1^15*T2^12 + 10*T1^16*T2^12 + 5*T1^5*T2^13 - 15*T1^6*T2^13 + 
     8*T1^7*T2^13 + 16*T1^8*T2^13 - 26*T1^9*T2^13 + 4*T1^12*T2^13 - 
     14*T1^13*T2^13 - 7*T1^14*T2^13 + 15*T1^15*T2^13 - 10*T1^16*T2^13 + 
     9*T1^7*T2^14 - 17*T1^8*T2^14 + 13*T1^9*T2^14 + 9*T1^10*T2^14 - 
     9*T1^11*T2^14 + 9*T1^12*T2^14 - 7*T1^13*T2^14 + 23*T1^14*T2^14 - 
     21*T1^15*T2^14 + 10*T1^16*T2^14 - 3*T1^7*T2^15 + 3*T1^8*T2^15 + 
     3*T1^9*T2^15 - 15*T1^10*T2^15 + 15*T1^11*T2^15 - 15*T1^12*T2^15 + 
     15*T1^13*T2^15 - 21*T1^14*T2^15 + 15*T1^15*T2^15 - 6*T1^16*T2^15 + 
     2*T1^8*T2^16 - 6*T1^9*T2^16 + 10*T1^10*T2^16 - 10*T1^11*T2^16 + 
     10*T1^12*T2^16 - 10*T1^13*T2^16 + 10*T1^14*T2^16 - 6*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 6] -> {-((2 - 6*T + 7*T^2 - 7*T^3 + 7*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-7 + 21*T1 - 25*T1^2 + 25*T1^3 - 25*T1^4 + 21*T1^5 - 7*T1^6 + 21*T2 - 
      66*T1*T2 + 84*T1^2*T2 - 84*T1^3*T2 + 84*T1^4*T2 - 72*T1^5*T2 + 
      30*T1^6*T2 - 3*T1^7*T2 - 25*T2^2 + 84*T1*T2^2 - 91*T1^2*T2^2 + 
      45*T1^3*T2^2 - 35*T1^4*T2^2 + 17*T1^5*T2^2 + 49*T1^6*T2^2 - 
      84*T1^7*T2^2 + 31*T1^8*T2^2 + 25*T2^3 - 84*T1*T2^3 + 45*T1^2*T2^3 + 
      56*T1^3*T2^3 - 16*T1^4*T2^3 + 26*T1^5*T2^3 - 112*T1^6*T2^3 + 
      87*T1^7*T2^3 + 84*T1^8*T2^3 - 59*T1^9*T2^3 - 25*T2^4 + 84*T1*T2^4 - 
      35*T1^2*T2^4 - 16*T1^3*T2^4 - 106*T1^4*T2^4 + 20*T1^5*T2^4 + 
      90*T1^6*T2^4 + 12*T1^7*T2^4 - 147*T1^8*T2^4 - 84*T1^9*T2^4 + 
      87*T1^10*T2^4 + 21*T2^5 - 72*T1*T2^5 + 17*T1^2*T2^5 + 26*T1^3*T2^5 + 
      20*T1^4*T2^5 + 215*T1^5*T2^5 - 257*T1^6*T2^5 + 97*T1^7*T2^5 - 
      44*T1^8*T2^5 + 255*T1^9*T2^5 + 36*T1^10*T2^5 - 99*T1^11*T2^5 - 7*T2^6 + 
      30*T1*T2^6 + 49*T1^2*T2^6 - 112*T1^3*T2^6 + 90*T1^4*T2^6 - 
      257*T1^5*T2^6 + 12*T1^6*T2^6 + 221*T1^7*T2^6 - 260*T1^8*T2^6 + 
      140*T1^9*T2^6 - 451*T1^10*T2^6 + 174*T1^11*T2^6 + 41*T1^12*T2^6 - 
      3*T1*T2^7 - 84*T1^2*T2^7 + 87*T1^3*T2^7 + 12*T1^4*T2^7 + 97*T1^5*T2^7 + 
      221*T1^6*T2^7 - 251*T1^7*T2^7 + 174*T1^8*T2^7 - 58*T1^9*T2^7 + 
      325*T1^10*T2^7 + 24*T1^11*T2^7 - 123*T1^12*T2^7 + 31*T1^2*T2^8 + 
      84*T1^3*T2^8 - 147*T1^4*T2^8 - 44*T1^5*T2^8 - 260*T1^6*T2^8 + 
      174*T1^7*T2^8 - 64*T1^8*T2^8 - 16*T1^9*T2^8 - 259*T1^10*T2^8 - 
      84*T1^11*T2^8 + 143*T1^12*T2^8 - 59*T1^3*T2^9 - 84*T1^4*T2^9 + 
      255*T1^5*T2^9 + 140*T1^6*T2^9 - 58*T1^7*T2^9 - 16*T1^8*T2^9 - 
      28*T1^9*T2^9 + 297*T1^10*T2^9 + 84*T1^11*T2^9 - 143*T1^12*T2^9 + 
      87*T1^4*T2^10 + 36*T1^5*T2^10 - 451*T1^6*T2^10 + 325*T1^7*T2^10 - 
      259*T1^8*T2^10 + 297*T1^9*T2^10 - 311*T1^10*T2^10 - 132*T1^11*T2^10 + 
      143*T1^12*T2^10 - 99*T1^5*T2^11 + 174*T1^6*T2^11 + 24*T1^7*T2^11 - 
      84*T1^8*T2^11 + 84*T1^9*T2^11 - 132*T1^10*T2^11 + 270*T1^11*T2^11 - 
      123*T1^12*T2^11 + 41*T1^6*T2^12 - 123*T1^7*T2^12 + 143*T1^8*T2^12 - 
      143*T1^9*T2^12 + 143*T1^10*T2^12 - 123*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 7] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   -((-18 + 68*T1 - 96*T1^2 + 68*T1^3 - 18*T1^4 + 68*T2 - 287*T1*T2 + 
      467*T1^2*T2 - 391*T1^3*T2 + 175*T1^4*T2 - 31*T1^5*T2 - 96*T2^2 + 
      467*T1*T2^2 - 700*T1^2*T2^2 + 216*T1^3*T2^2 + 380*T1^4*T2^2 - 
      523*T1^5*T2^2 + 174*T1^6*T2^2 + 68*T2^3 - 391*T1*T2^3 + 216*T1^2*T2^3 + 
      1150*T1^3*T2^3 - 1754*T1^4*T2^3 + 1041*T1^5*T2^3 + 203*T1^6*T2^3 - 
      229*T1^7*T2^3 - 18*T2^4 + 175*T1*T2^4 + 380*T1^2*T2^4 - 
      1754*T1^3*T2^4 + 1020*T1^4*T2^4 + 754*T1^5*T2^4 - 1742*T1^6*T2^4 + 
      505*T1^7*T2^4 + 90*T1^8*T2^4 - 31*T1*T2^5 - 523*T1^2*T2^5 + 
      1041*T1^3*T2^5 + 754*T1^4*T2^5 - 2150*T1^5*T2^5 + 1866*T1^6*T2^5 + 
      71*T1^7*T2^5 - 328*T1^8*T2^5 + 174*T1^2*T2^6 + 203*T1^3*T2^6 - 
      1742*T1^4*T2^6 + 1866*T1^5*T2^6 - 662*T1^6*T2^6 - 787*T1^7*T2^6 + 
      444*T1^8*T2^6 - 229*T1^3*T2^7 + 505*T1^4*T2^7 + 71*T1^5*T2^7 - 
      787*T1^6*T2^7 + 967*T1^7*T2^7 - 328*T1^8*T2^7 + 90*T1^4*T2^8 - 
      328*T1^5*T2^8 + 444*T1^6*T2^8 - 328*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 8] -> 
  {-((2 - 5*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 2*T^6)/T^3), 
   -((-9 + 23*T1 - 23*T1^2 + 23*T1^3 - 23*T1^4 + 23*T1^5 - 9*T1^6 + 23*T2 - 
      56*T1*T2 + 50*T1^2*T2 - 50*T1^3*T2 + 50*T1^4*T2 - 50*T1^5*T2 + 
      14*T1^6*T2 + 3*T1^7*T2 - 23*T2^2 + 50*T1*T2^2 - 22*T1^2*T2^2 + 
      10*T1^3*T2^2 - 10*T1^4*T2^2 + 10*T1^5*T2^2 + 38*T1^6*T2^2 - 
      50*T1^7*T2^2 + 17*T1^8*T2^2 + 23*T2^3 - 50*T1*T2^3 + 10*T1^2*T2^3 - 
      T1^3*T2^3 + 25*T1^4*T2^3 - 25*T1^5*T2^3 - 41*T1^6*T2^3 + 35*T1^7*T2^3 + 
      50*T1^8*T2^3 - 37*T1^9*T2^3 - 23*T2^4 + 50*T1*T2^4 - 10*T1^2*T2^4 + 
      25*T1^3*T2^4 - 52*T1^4*T2^4 + 10*T1^5*T2^4 + 68*T1^6*T2^4 - 
      25*T1^7*T2^4 - 60*T1^8*T2^4 - 50*T1^9*T2^4 + 57*T1^10*T2^4 + 23*T2^5 - 
      50*T1*T2^5 + 10*T1^2*T2^5 - 25*T1^3*T2^5 + 10*T1^4*T2^5 + 
      54*T1^5*T2^5 - 96*T1^6*T2^5 + 35*T1^7*T2^5 + 25*T1^8*T2^5 + 
      85*T1^9*T2^5 + 50*T1^10*T2^5 - 77*T1^11*T2^5 - 9*T2^6 + 14*T1*T2^6 + 
      38*T1^2*T2^6 - 41*T1^3*T2^6 + 68*T1^4*T2^6 - 96*T1^5*T2^6 + 
      24*T1^6*T2^6 + 84*T1^7*T2^6 - 162*T1^8*T2^6 + 89*T1^9*T2^6 - 
      242*T1^10*T2^6 + 94*T1^11*T2^6 + 39*T1^12*T2^6 + 3*T1*T2^7 - 
      50*T1^2*T2^7 + 35*T1^3*T2^7 - 25*T1^4*T2^7 + 35*T1^5*T2^7 + 
      84*T1^6*T2^7 - 66*T1^7*T2^7 + 60*T1^8*T2^7 + 25*T1^9*T2^7 + 
      110*T1^10*T2^7 + 50*T1^11*T2^7 - 97*T1^12*T2^7 + 17*T1^2*T2^8 + 
      50*T1^3*T2^8 - 60*T1^4*T2^8 + 25*T1^5*T2^8 - 162*T1^6*T2^8 + 
      60*T1^7*T2^8 - 42*T1^8*T2^8 - 25*T1^9*T2^8 - 110*T1^10*T2^8 - 
      50*T1^11*T2^8 + 97*T1^12*T2^8 - 37*T1^3*T2^9 - 50*T1^4*T2^9 + 
      85*T1^5*T2^9 + 89*T1^6*T2^9 + 25*T1^7*T2^9 - 25*T1^8*T2^9 + 
      49*T1^9*T2^9 + 110*T1^10*T2^9 + 50*T1^11*T2^9 - 97*T1^12*T2^9 + 
      57*T1^4*T2^10 + 50*T1^5*T2^10 - 242*T1^6*T2^10 + 110*T1^7*T2^10 - 
      110*T1^8*T2^10 + 110*T1^9*T2^10 - 182*T1^10*T2^10 - 50*T1^11*T2^10 + 
      97*T1^12*T2^10 - 77*T1^5*T2^11 + 94*T1^6*T2^11 + 50*T1^7*T2^11 - 
      50*T1^8*T2^11 + 50*T1^9*T2^11 - 50*T1^10*T2^11 + 164*T1^11*T2^11 - 
      97*T1^12*T2^11 + 39*T1^6*T2^12 - 97*T1^7*T2^12 + 97*T1^8*T2^12 - 
      97*T1^9*T2^12 + 97*T1^10*T2^12 - 97*T1^11*T2^12 + 39*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 9] -> 
  {-(((1 - T + T^2)*(1 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + T^6))/T^4), 
   -((-5 + 15*T1 - 25*T1^2 + 35*T1^3 - 35*T1^4 + 35*T1^5 - 25*T1^6 + 
      15*T1^7 - 5*T1^8 + 15*T2 - 33*T1*T2 + 39*T1^2*T2 - 45*T1^3*T2 + 
      21*T1^4*T2 - 21*T1^5*T2 - 9*T1^6*T2 + 15*T1^7*T2 - 21*T1^8*T2 + 
      12*T1^9*T2 - 25*T2^2 + 39*T1*T2^2 - 32*T1^2*T2^2 + 40*T1^3*T2^2 + 
      4*T1^4*T2^2 + 24*T1^5*T2^2 + 24*T1^6*T2^2 + 8*T1^8*T2^2 + 9*T1^9*T2^2 - 
      15*T1^10*T2^2 + 35*T2^3 - 45*T1*T2^3 + 40*T1^2*T2^3 - 66*T1^3*T2^3 + 
      2*T1^4*T2^3 - 64*T1^5*T2^3 - 22*T1^6*T2^3 - 28*T1^7*T2^3 - 
      18*T1^8*T2^3 - 5*T1^9*T2^3 + 3*T1^10*T2^3 + 14*T1^11*T2^3 - 35*T2^4 + 
      21*T1*T2^4 + 4*T1^2*T2^4 + 2*T1^3*T2^4 + 105*T1^4*T2^4 - 23*T1^5*T2^4 + 
      145*T1^6*T2^4 - 51*T1^7*T2^4 + 105*T1^8*T2^4 - 26*T1^9*T2^4 + 
      18*T1^10*T2^4 - 21*T1^11*T2^4 - 7*T1^12*T2^4 + 35*T2^5 - 21*T1*T2^5 + 
      24*T1^2*T2^5 - 64*T1^3*T2^5 - 23*T1^4*T2^5 - 93*T1^5*T2^5 - 
      47*T1^6*T2^5 - 61*T1^7*T2^5 - 23*T1^8*T2^5 - 44*T1^9*T2^5 + 
      6*T1^10*T2^5 + 3*T1^11*T2^5 + 21*T1^12*T2^5 - 25*T2^6 - 9*T1*T2^6 + 
      24*T1^2*T2^6 - 22*T1^3*T2^6 + 145*T1^4*T2^6 - 47*T1^5*T2^6 + 
      188*T1^6*T2^6 - 60*T1^7*T2^6 + 112*T1^8*T2^6 - 33*T1^9*T2^6 + 
      47*T1^10*T2^6 - 22*T1^11*T2^6 - 8*T1^12*T2^6 - 15*T1^13*T2^6 + 
      5*T1^14*T2^6 + 15*T2^7 + 15*T1*T2^7 - 28*T1^3*T2^7 - 51*T1^4*T2^7 - 
      61*T1^5*T2^7 - 60*T1^6*T2^7 - 52*T1^7*T2^7 + 6*T1^8*T2^7 - 
      27*T1^9*T2^7 + 9*T1^10*T2^7 - 2*T1^11*T2^7 + 10*T1^12*T2^7 + 
      15*T1^13*T2^7 + 3*T1^14*T2^7 - 6*T1^15*T2^7 - 5*T2^8 - 21*T1*T2^8 + 
      8*T1^2*T2^8 - 18*T1^3*T2^8 + 105*T1^4*T2^8 - 23*T1^5*T2^8 + 
      112*T1^6*T2^8 + 6*T1^7*T2^8 - 6*T1^9*T2^8 - 18*T1^10*T2^8 - 
      9*T1^11*T2^8 - 11*T1^12*T2^8 - 6*T1^13*T2^8 - 14*T1^14*T2^8 + 
      9*T1^15*T2^8 + 3*T1^16*T2^8 + 12*T1*T2^9 + 9*T1^2*T2^9 - 5*T1^3*T2^9 - 
      26*T1^4*T2^9 - 44*T1^5*T2^9 - 33*T1^6*T2^9 - 27*T1^7*T2^9 - 
      6*T1^8*T2^9 + 52*T1^9*T2^9 + 6*T1^10*T2^9 + 37*T1^11*T2^9 + 
      5*T1^12*T2^9 + 12*T1^13*T2^9 + 10*T1^14*T2^9 - 3*T1^15*T2^9 - 
      9*T1^16*T2^9 - 15*T1^2*T2^10 + 3*T1^3*T2^10 + 18*T1^4*T2^10 + 
      6*T1^5*T2^10 + 47*T1^6*T2^10 + 9*T1^7*T2^10 - 18*T1^8*T2^10 + 
      6*T1^9*T2^10 - 94*T1^10*T2^10 + 23*T1^11*T2^10 - 51*T1^12*T2^10 + 
      6*T1^13*T2^10 - 14*T1^14*T2^10 - 3*T1^15*T2^10 + 15*T1^16*T2^10 + 
      14*T1^3*T2^11 - 21*T1^4*T2^11 + 3*T1^5*T2^11 - 22*T1^6*T2^11 - 
      2*T1^7*T2^11 - 9*T1^8*T2^11 + 37*T1^9*T2^11 + 23*T1^10*T2^11 + 
      61*T1^11*T2^11 - 23*T1^12*T2^11 + 48*T1^13*T2^11 - 18*T1^14*T2^11 + 
      21*T1^15*T2^11 - 21*T1^16*T2^11 - 7*T1^4*T2^12 + 21*T1^5*T2^12 - 
      8*T1^6*T2^12 + 10*T1^7*T2^12 - 11*T1^8*T2^12 + 5*T1^9*T2^12 - 
      51*T1^10*T2^12 - 23*T1^11*T2^12 - 11*T1^12*T2^12 - 18*T1^13*T2^12 + 
      6*T1^14*T2^12 - 21*T1^15*T2^12 + 21*T1^16*T2^12 - 15*T1^6*T2^13 + 
      15*T1^7*T2^13 - 6*T1^8*T2^13 + 12*T1^9*T2^13 + 6*T1^10*T2^13 + 
      48*T1^11*T2^13 - 18*T1^12*T2^13 + 42*T1^13*T2^13 - 30*T1^14*T2^13 + 
      33*T1^15*T2^13 - 21*T1^16*T2^13 + 5*T1^6*T2^14 + 3*T1^7*T2^14 - 
      14*T1^8*T2^14 + 10*T1^9*T2^14 - 14*T1^10*T2^14 - 18*T1^11*T2^14 + 
      6*T1^12*T2^14 - 30*T1^13*T2^14 + 26*T1^14*T2^14 - 27*T1^15*T2^14 + 
      15*T1^16*T2^14 - 6*T1^7*T2^15 + 9*T1^8*T2^15 - 3*T1^9*T2^15 - 
      3*T1^10*T2^15 + 21*T1^11*T2^15 - 21*T1^12*T2^15 + 33*T1^13*T2^15 - 
      27*T1^14*T2^15 + 21*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 
      9*T1^9*T2^16 + 15*T1^10*T2^16 - 21*T1^11*T2^16 + 21*T1^12*T2^16 - 
      21*T1^13*T2^16 + 15*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[10, 10] -> 
  {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   (-63 + 229*T1 - 355*T1^2 + 229*T1^3 - 63*T1^4 + 229*T2 - 703*T1*T2 + 
     821*T1^2*T2 - 103*T1^3*T2 - 241*T1^4*T2 + 130*T1^5*T2 - 355*T2^2 + 
     821*T1*T2^2 - 367*T1^2*T2^2 - 1157*T1^3*T2^2 + 1061*T1^4*T2^2 - 
     301*T1^5*T2^2 - 49*T1^6*T2^2 + 229*T2^3 - 103*T1*T2^3 - 1157*T1^2*T2^3 + 
     2616*T1^3*T2^3 - 1234*T1^4*T2^3 - 222*T1^5*T2^3 + 425*T1^6*T2^3 - 
     68*T1^7*T2^3 - 63*T2^4 - 241*T1*T2^4 + 1061*T1^2*T2^4 - 1234*T1^3*T2^4 - 
     768*T1^4*T2^4 + 1758*T1^5*T2^4 - 989*T1^6*T2^4 + 89*T1^7*T2^4 + 
     45*T1^8*T2^4 + 130*T1*T2^5 - 301*T1^2*T2^5 - 222*T1^3*T2^5 + 
     1758*T1^4*T2^5 - 2092*T1^5*T2^5 + 713*T1^6*T2^5 + 227*T1^7*T2^5 - 
     167*T1^8*T2^5 - 49*T1^2*T2^6 + 425*T1^3*T2^6 - 989*T1^4*T2^6 + 
     713*T1^5*T2^6 + 439*T1^6*T2^6 - 697*T1^7*T2^6 + 257*T1^8*T2^6 - 
     68*T1^3*T2^7 + 89*T1^4*T2^7 + 227*T1^5*T2^7 - 697*T1^6*T2^7 + 
     551*T1^7*T2^7 - 167*T1^8*T2^7 + 45*T1^4*T2^8 - 167*T1^5*T2^8 + 
     257*T1^6*T2^8 - 167*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 11] -> {-((4 - 11*T + 13*T^2 - 11*T^3 + 4*T^4)/T^2), 
   -((-64 + 180*T1 - 216*T1^2 + 180*T1^3 - 64*T1^4 + 180*T2 - 502*T1*T2 + 
      584*T1^2*T2 - 472*T1^3*T2 + 158*T1^4*T2 + 4*T1^5*T2 - 216*T2^2 + 
      584*T1*T2^2 - 495*T1^2*T2^2 + 83*T1^3*T2^2 + 441*T1^4*T2^2 - 
      560*T1^5*T2^2 + 200*T1^6*T2^2 + 180*T2^3 - 472*T1*T2^3 + 83*T1^2*T2^3 + 
      581*T1^3*T2^3 - 871*T1^4*T2^3 + 512*T1^5*T2^3 + 408*T1^6*T2^3 - 
      348*T1^7*T2^3 - 64*T2^4 + 158*T1*T2^4 + 441*T1^2*T2^4 - 871*T1^3*T2^4 + 
      228*T1^4*T2^4 + 603*T1^5*T2^4 - 1389*T1^6*T2^4 + 422*T1^7*T2^4 + 
      192*T1^8*T2^4 + 4*T1*T2^5 - 560*T1^2*T2^5 + 512*T1^3*T2^5 + 
      603*T1^4*T2^5 - 849*T1^5*T2^5 + 941*T1^6*T2^5 + 320*T1^7*T2^5 - 
      524*T1^8*T2^5 + 200*T1^2*T2^6 + 408*T1^3*T2^6 - 1389*T1^4*T2^6 + 
      941*T1^5*T2^6 - 453*T1^6*T2^6 - 736*T1^7*T2^6 + 616*T1^8*T2^6 - 
      348*T1^3*T2^7 + 422*T1^4*T2^7 + 320*T1^5*T2^7 - 736*T1^6*T2^7 + 
      1082*T1^7*T2^7 - 524*T1^8*T2^7 + 192*T1^4*T2^8 - 524*T1^5*T2^8 + 
      616*T1^6*T2^8 - 524*T1^7*T2^8 + 192*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 12] -> 
  {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-33 + 99*T1 - 165*T1^2 + 181*T1^3 - 165*T1^4 + 99*T1^5 - 33*T1^6 + 
     99*T2 - 222*T1*T2 + 270*T1^2*T2 - 168*T1^3*T2 + 84*T1^4*T2 + 
     78*T1^5*T2 - 126*T1^6*T2 + 75*T1^7*T2 - 165*T2^2 + 270*T1*T2^2 - 
     235*T1^2*T2^2 + 23*T1^3*T2^2 + 7*T1^4*T2^2 - 177*T1^5*T2^2 + 
     85*T1^6*T2^2 + 30*T1^7*T2^2 - 85*T1^8*T2^2 + 181*T2^3 - 168*T1*T2^3 + 
     23*T1^2*T2^3 + 208*T1^3*T2^3 - 58*T1^4*T2^3 + 146*T1^5*T2^3 + 
     106*T1^6*T2^3 - 157*T1^7*T2^3 + 108*T1^8*T2^3 + 49*T1^9*T2^3 - 
     165*T2^4 + 84*T1*T2^4 + 7*T1^2*T2^4 - 58*T1^3*T2^4 - 279*T1^4*T2^4 + 
     159*T1^5*T2^4 - 299*T1^6*T2^4 + 118*T1^7*T2^4 + 15*T1^8*T2^4 - 
     132*T1^9*T2^4 - 5*T1^10*T2^4 + 99*T2^5 + 78*T1*T2^5 - 177*T1^2*T2^5 + 
     146*T1^3*T2^5 + 159*T1^4*T2^5 + 72*T1^5*T2^5 - 18*T1^6*T2^5 + 
     139*T1^7*T2^5 - 114*T1^8*T2^5 + 83*T1^9*T2^5 + 78*T1^10*T2^5 - 
     21*T1^11*T2^5 - 33*T2^6 - 126*T1*T2^6 + 85*T1^2*T2^6 + 106*T1^3*T2^6 - 
     299*T1^4*T2^6 - 18*T1^5*T2^6 - 10*T1^7*T2^6 - 43*T1^8*T2^6 + 
     82*T1^9*T2^6 - 139*T1^10*T2^6 + 18*T1^11*T2^6 + 15*T1^12*T2^6 + 
     75*T1*T2^7 + 30*T1^2*T2^7 - 157*T1^3*T2^7 + 118*T1^4*T2^7 + 
     139*T1^5*T2^7 - 10*T1^6*T2^7 - 100*T1^7*T2^7 + 119*T1^8*T2^7 - 
     142*T1^9*T2^7 + 103*T1^10*T2^7 + 30*T1^11*T2^7 - 45*T1^12*T2^7 - 
     85*T1^2*T2^8 + 108*T1^3*T2^8 + 15*T1^4*T2^8 - 114*T1^5*T2^8 - 
     43*T1^6*T2^8 + 119*T1^7*T2^8 - 63*T1^8*T2^8 + 62*T1^9*T2^8 + 
     23*T1^10*T2^8 - 108*T1^11*T2^8 + 75*T1^12*T2^8 + 49*T1^3*T2^9 - 
     132*T1^4*T2^9 + 83*T1^5*T2^9 + 82*T1^6*T2^9 - 142*T1^7*T2^9 + 
     62*T1^8*T2^9 - 20*T1^9*T2^9 - 97*T1^10*T2^9 + 144*T1^11*T2^9 - 
     83*T1^12*T2^9 - 5*T1^4*T2^10 + 78*T1^5*T2^10 - 139*T1^6*T2^10 + 
     103*T1^7*T2^10 + 23*T1^8*T2^10 - 97*T1^9*T2^10 + 181*T1^10*T2^10 - 
     162*T1^11*T2^10 + 75*T1^12*T2^10 - 21*T1^5*T2^11 + 18*T1^6*T2^11 + 
     30*T1^7*T2^11 - 108*T1^8*T2^11 + 144*T1^9*T2^11 - 162*T1^10*T2^11 + 
     114*T1^11*T2^11 - 45*T1^12*T2^11 + 15*T1^6*T2^12 - 45*T1^7*T2^12 + 
     75*T1^8*T2^12 - 83*T1^9*T2^12 + 75*T1^10*T2^12 - 45*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 13] -> {(2 - 13*T + 23*T^2 - 13*T^3 + 2*T^4)/T^2, 
   (-15 + 97*T1 - 171*T1^2 + 97*T1^3 - 15*T1^4 + 97*T2 - 582*T1*T2 + 
     816*T1^2*T2 - 120*T1^3*T2 - 192*T1^4*T2 + 45*T1^5*T2 - 171*T2^2 + 
     816*T1*T2^2 - 103*T1^2*T2^2 - 2189*T1^3*T2^2 + 1829*T1^4*T2^2 - 
     380*T1^5*T2^2 + 13*T1^6*T2^2 + 97*T2^3 - 120*T1*T2^3 - 2189*T1^2*T2^3 + 
     5597*T1^3*T2^3 - 3997*T1^4*T2^3 + 502*T1^5*T2^3 + 296*T1^6*T2^3 - 
     59*T1^7*T2^3 - 15*T2^4 - 192*T1*T2^4 + 1829*T1^2*T2^4 - 3997*T1^3*T2^4 + 
     1656*T1^4*T2^4 + 2893*T1^5*T2^4 - 2197*T1^6*T2^4 + 276*T1^7*T2^4 + 
     17*T1^8*T2^4 + 45*T1*T2^5 - 380*T1^2*T2^5 + 502*T1^3*T2^5 + 
     2893*T1^4*T2^5 - 6701*T1^5*T2^5 + 3193*T1^6*T2^5 + 36*T1^7*T2^5 - 
     111*T1^8*T2^5 + 13*T1^2*T2^6 + 296*T1^3*T2^6 - 2197*T1^4*T2^6 + 
     3193*T1^5*T2^6 - 265*T1^6*T2^6 - 900*T1^7*T2^6 + 197*T1^8*T2^6 - 
     59*T1^3*T2^7 + 276*T1^4*T2^7 + 36*T1^5*T2^7 - 900*T1^6*T2^7 + 
     666*T1^7*T2^7 - 111*T1^8*T2^7 + 17*T1^4*T2^8 - 111*T1^5*T2^8 + 
     197*T1^6*T2^8 - 111*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 14] -> {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/
     T^3), -((-7 + 29*T1 - 45*T1^2 + 49*T1^3 - 45*T1^4 + 29*T1^5 - 7*T1^6 + 
      29*T2 - 122*T1*T2 + 192*T1^2*T2 - 208*T1^3*T2 + 192*T1^4*T2 - 
      128*T1^5*T2 + 38*T1^6*T2 - 3*T1^7*T2 - 45*T2^2 + 192*T1*T2^2 - 
      256*T1^2*T2^2 + 150*T1^3*T2^2 - 42*T1^4*T2^2 - 90*T1^5*T2^2 + 
      224*T1^6*T2^2 - 192*T1^7*T2^2 + 51*T1^8*T2^2 + 49*T2^3 - 208*T1*T2^3 + 
      150*T1^2*T2^3 + 242*T1^3*T2^3 - 376*T1^4*T2^3 + 464*T1^5*T2^3 - 
      508*T1^6*T2^3 + 174*T1^7*T2^3 + 224*T1^8*T2^3 - 107*T1^9*T2^3 - 
      45*T2^4 + 192*T1*T2^4 - 42*T1^2*T2^4 - 376*T1^3*T2^4 + 132*T1^4*T2^4 - 
      106*T1^5*T2^4 + 52*T1^6*T2^4 + 456*T1^7*T2^4 - 554*T1^8*T2^4 - 
      160*T1^9*T2^4 + 147*T1^10*T2^4 + 29*T2^5 - 128*T1*T2^5 - 90*T1^2*T2^5 + 
      464*T1^3*T2^5 - 106*T1^4*T2^5 + 500*T1^5*T2^5 - 560*T1^6*T2^5 + 
      134*T1^7*T2^5 - 392*T1^8*T2^5 + 942*T1^9*T2^5 - 64*T1^10*T2^5 - 
      131*T1^11*T2^5 - 7*T2^6 + 38*T1*T2^6 + 224*T1^2*T2^6 - 508*T1^3*T2^6 + 
      52*T1^4*T2^6 - 560*T1^5*T2^6 + 192*T1^6*T2^6 + 368*T1^7*T2^6 - 
      108*T1^8*T2^6 - 52*T1^9*T2^6 - 960*T1^10*T2^6 + 358*T1^11*T2^6 + 
      41*T1^12*T2^6 - 3*T1*T2^7 - 192*T1^2*T2^7 + 174*T1^3*T2^7 + 
      456*T1^4*T2^7 + 134*T1^5*T2^7 + 368*T1^6*T2^7 - 692*T1^7*T2^7 + 
      374*T1^8*T2^7 - 400*T1^9*T2^7 + 1206*T1^10*T2^7 - 128*T1^11*T2^7 - 
      163*T1^12*T2^7 + 51*T1^2*T2^8 + 224*T1^3*T2^8 - 554*T1^4*T2^8 - 
      392*T1^5*T2^8 - 108*T1^6*T2^8 + 374*T1^7*T2^8 - 188*T1^8*T2^8 + 
      440*T1^9*T2^8 - 1066*T1^10*T2^8 - 128*T1^11*T2^8 + 243*T1^12*T2^8 - 
      107*T1^3*T2^9 - 160*T1^4*T2^9 + 942*T1^5*T2^9 - 52*T1^6*T2^9 - 
      400*T1^7*T2^9 + 440*T1^8*T2^9 - 802*T1^9*T2^9 + 966*T1^10*T2^9 + 
      272*T1^11*T2^9 - 263*T1^12*T2^9 + 147*T1^4*T2^10 - 64*T1^5*T2^10 - 
      960*T1^6*T2^10 + 1206*T1^7*T2^10 - 1066*T1^8*T2^10 + 966*T1^9*T2^10 - 
      480*T1^10*T2^10 - 448*T1^11*T2^10 + 243*T1^12*T2^10 - 131*T1^5*T2^11 + 
      358*T1^6*T2^11 - 128*T1^7*T2^11 - 128*T1^8*T2^11 + 272*T1^9*T2^11 - 
      448*T1^10*T2^11 + 518*T1^11*T2^11 - 163*T1^12*T2^11 + 41*T1^6*T2^12 - 
      163*T1^7*T2^12 + 243*T1^8*T2^12 - 263*T1^9*T2^12 + 243*T1^10*T2^12 - 
      163*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 15] -> {(2 - 6*T + 9*T^2 - 9*T^3 + 9*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-31 + 93*T1 - 139*T1^2 + 139*T1^3 - 139*T1^4 + 93*T1^5 - 31*T1^6 + 
     93*T2 - 210*T1*T2 + 210*T1^2*T2 - 108*T1^3*T2 + 108*T1^4*T2 + 
     30*T1^5*T2 - 114*T1^6*T2 + 69*T1^7*T2 - 139*T2^2 + 210*T1*T2^2 - 
     63*T1^2*T2^2 - 125*T1^3*T2^2 + 39*T1^4*T2^2 - 233*T1^5*T2^2 + 
     189*T1^6*T2^2 - 6*T1^7*T2^2 - 67*T1^8*T2^2 + 139*T2^3 - 108*T1*T2^3 - 
     125*T1^2*T2^3 + 236*T1^3*T2^3 + 8*T1^4*T2^3 + 170*T1^5*T2^3 + 
     20*T1^6*T2^3 - 179*T1^7*T2^3 + 108*T1^8*T2^3 + 31*T1^9*T2^3 - 139*T2^4 + 
     108*T1*T2^4 + 39*T1^2*T2^4 + 8*T1^3*T2^4 - 300*T1^4*T2^4 + 
     38*T1^5*T2^4 - 120*T1^6*T2^4 + 116*T1^7*T2^4 + 39*T1^8*T2^4 - 
     108*T1^9*T2^4 + 5*T1^10*T2^4 + 93*T2^5 + 30*T1*T2^5 - 233*T1^2*T2^5 + 
     170*T1^3*T2^5 + 38*T1^4*T2^5 + 285*T1^5*T2^5 - 207*T1^6*T2^5 + 
     65*T1^7*T2^5 - 100*T1^8*T2^5 + 37*T1^9*T2^5 + 66*T1^10*T2^5 - 
     27*T1^11*T2^5 - 31*T2^6 - 114*T1*T2^6 + 189*T1^2*T2^6 + 20*T1^3*T2^6 - 
     120*T1^4*T2^6 - 207*T1^5*T2^6 + 60*T1^6*T2^6 + 171*T1^7*T2^6 - 
     66*T1^8*T2^6 + 128*T1^9*T2^6 - 135*T1^10*T2^6 + 30*T1^11*T2^6 + 
     17*T1^12*T2^6 + 69*T1*T2^7 - 6*T1^2*T2^7 - 179*T1^3*T2^7 + 
     116*T1^4*T2^7 + 65*T1^5*T2^7 + 171*T1^6*T2^7 - 321*T1^7*T2^7 + 
     92*T1^8*T2^7 - 154*T1^9*T2^7 + 91*T1^10*T2^7 + 30*T1^11*T2^7 - 
     51*T1^12*T2^7 - 67*T1^2*T2^8 + 108*T1^3*T2^8 + 39*T1^4*T2^8 - 
     100*T1^5*T2^8 - 66*T1^6*T2^8 + 92*T1^7*T2^8 + 114*T1^8*T2^8 + 
     8*T1^9*T2^8 + 39*T1^10*T2^8 - 108*T1^11*T2^8 + 77*T1^12*T2^8 + 
     31*T1^3*T2^9 - 108*T1^4*T2^9 + 37*T1^5*T2^9 + 128*T1^6*T2^9 - 
     154*T1^7*T2^9 + 8*T1^8*T2^9 - 88*T1^9*T2^9 - 17*T1^10*T2^9 + 
     108*T1^11*T2^9 - 77*T1^12*T2^9 + 5*T1^4*T2^10 + 66*T1^5*T2^10 - 
     135*T1^6*T2^10 + 91*T1^7*T2^10 + 39*T1^8*T2^10 - 17*T1^9*T2^10 + 
     117*T1^10*T2^10 - 150*T1^11*T2^10 + 77*T1^12*T2^10 - 27*T1^5*T2^11 + 
     30*T1^6*T2^11 + 30*T1^7*T2^11 - 108*T1^8*T2^11 + 108*T1^9*T2^11 - 
     150*T1^10*T2^11 + 126*T1^11*T2^11 - 51*T1^12*T2^11 + 17*T1^6*T2^12 - 
     51*T1^7*T2^12 + 77*T1^8*T2^12 - 77*T1^9*T2^12 + 77*T1^10*T2^12 - 
     51*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 16] -> {-((4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4)/T^2), 
   (-2*(-96 + 284*T1 - 352*T1^2 + 284*T1^3 - 96*T1^4 + 284*T2 - 652*T1*T2 + 
      490*T1^2*T2 - 158*T1^3*T2 - 268*T1^4*T2 + 188*T1^5*T2 - 352*T2^2 + 
      490*T1*T2^2 + 241*T1^2*T2^2 - 704*T1^3*T2^2 + 901*T1^4*T2^2 - 
      230*T1^5*T2^2 - 112*T1^6*T2^2 + 284*T2^3 - 158*T1*T2^3 - 
      704*T1^2*T2^3 + 800*T1^3*T2^3 - 478*T1^4*T2^3 - 344*T1^5*T2^3 + 
      346*T1^6*T2^3 - 4*T1^7*T2^3 - 96*T2^4 - 268*T1*T2^4 + 901*T1^2*T2^4 - 
      478*T1^3*T2^4 - 234*T1^4*T2^4 + 722*T1^5*T2^4 - 347*T1^6*T2^4 - 
      76*T1^7*T2^4 + 32*T1^8*T2^4 + 188*T1*T2^5 - 230*T1^2*T2^5 - 
      344*T1^3*T2^5 + 722*T1^4*T2^5 - 556*T1^5*T2^5 + 16*T1^6*T2^5 + 
      274*T1^7*T2^5 - 100*T1^8*T2^5 - 112*T1^2*T2^6 + 346*T1^3*T2^6 - 
      347*T1^4*T2^6 + 16*T1^5*T2^6 + 313*T1^6*T2^6 - 374*T1^7*T2^6 + 
      128*T1^8*T2^6 - 4*T1^3*T2^7 - 76*T1^4*T2^7 + 274*T1^5*T2^7 - 
      374*T1^6*T2^7 + 308*T1^7*T2^7 - 100*T1^8*T2^7 + 32*T1^4*T2^8 - 
      100*T1^5*T2^8 + 128*T1^6*T2^8 - 100*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 17] -> 
  {(1 - 3*T + 5*T^2 - 7*T^3 + 9*T^4 - 7*T^5 + 5*T^6 - 3*T^7 + T^8)/T^4, 
   ((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 7*T1^5 + 5*T1^6 - 3*T1^7 + T1^8)*
     (1 + T1*T2)*(4 - 9*T1*T2 + 14*T1^2*T2^2 - 16*T1^3*T2^3 + 14*T1^4*T2^4 - 
      9*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 3*T2 + 5*T2^2 - 7*T2^3 + 9*T2^4 - 
      7*T2^5 + 5*T2^6 - 3*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[10, 18] -> {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((-64 + 236*T1 - 328*T1^2 + 236*T1^3 - 64*T1^4 + 236*T2 - 850*T1*T2 + 
      1112*T1^2*T2 - 736*T1^3*T2 + 158*T1^4*T2 + 12*T1^5*T2 - 328*T2^2 + 
      1112*T1*T2^2 - 979*T1^2*T2^2 - 295*T1^3*T2^2 + 1301*T1^4*T2^2 - 
      1016*T1^5*T2^2 + 280*T1^6*T2^2 + 236*T2^3 - 736*T1*T2^3 - 
      295*T1^2*T2^3 + 2630*T1^3*T2^3 - 3124*T1^4*T2^3 + 1301*T1^5*T2^3 + 
      552*T1^6*T2^3 - 436*T1^7*T2^3 - 64*T2^4 + 158*T1*T2^4 + 
      1301*T1^2*T2^4 - 3124*T1^3*T2^4 + 1296*T1^4*T2^4 + 1860*T1^5*T2^4 - 
      2971*T1^6*T2^4 + 830*T1^7*T2^4 + 192*T1^8*T2^4 + 12*T1*T2^5 - 
      1016*T1^2*T2^5 + 1301*T1^3*T2^5 + 1860*T1^4*T2^5 - 3894*T1^5*T2^5 + 
      2897*T1^6*T2^5 + 272*T1^7*T2^5 - 660*T1^8*T2^5 + 280*T1^2*T2^6 + 
      552*T1^3*T2^6 - 2971*T1^4*T2^6 + 2897*T1^5*T2^6 - 691*T1^6*T2^6 - 
      1576*T1^7*T2^6 + 888*T1^8*T2^6 - 436*T1^3*T2^7 + 830*T1^4*T2^7 + 
      272*T1^5*T2^7 - 1576*T1^6*T2^7 + 1838*T1^7*T2^7 - 660*T1^8*T2^7 + 
      192*T1^4*T2^8 - 660*T1^5*T2^8 + 888*T1^6*T2^8 - 660*T1^7*T2^8 + 
      192*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 19] -> {(2 - 7*T + 11*T^2 - 11*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-17 + 59*T1 - 93*T1^2 + 93*T1^3 - 93*T1^4 + 59*T1^5 - 17*T1^6 + 59*T2 - 
     174*T1*T2 + 216*T1^2*T2 - 154*T1^3*T2 + 154*T1^4*T2 - 36*T1^5*T2 - 
     48*T1^6*T2 + 31*T1^7*T2 - 93*T2^2 + 216*T1*T2^2 - 150*T1^2*T2^2 - 
     36*T1^3*T2^2 + 10*T1^4*T2^2 - 212*T1^5*T2^2 + 246*T1^6*T2^2 - 
     92*T1^7*T2^2 - 5*T1^8*T2^2 + 93*T2^3 - 154*T1*T2^3 - 36*T1^2*T2^3 + 
     265*T1^3*T2^3 - 143*T1^4*T2^3 + 363*T1^5*T2^3 - 263*T1^6*T2^3 - 
     69*T1^7*T2^3 + 154*T1^8*T2^3 - 39*T1^9*T2^3 - 93*T2^4 + 154*T1*T2^4 + 
     10*T1^2*T2^4 - 143*T1^3*T2^4 - 88*T1^4*T2^4 - 206*T1^5*T2^4 + 
     88*T1^6*T2^4 + 275*T1^7*T2^4 - 100*T1^8*T2^4 - 154*T1^9*T2^4 + 
     83*T1^10*T2^4 + 59*T2^5 - 36*T1*T2^5 - 212*T1^2*T2^5 + 363*T1^3*T2^5 - 
     206*T1^4*T2^5 + 576*T1^5*T2^5 - 290*T1^6*T2^5 - 151*T1^7*T2^5 - 
     319*T1^8*T2^5 + 393*T1^9*T2^5 - 8*T1^10*T2^5 - 81*T1^11*T2^5 - 17*T2^6 - 
     48*T1*T2^6 + 246*T1^2*T2^6 - 263*T1^3*T2^6 + 88*T1^4*T2^6 - 
     290*T1^5*T2^6 - 84*T1^6*T2^6 + 338*T1^7*T2^6 + 374*T1^8*T2^6 - 
     65*T1^9*T2^6 - 378*T1^10*T2^6 + 176*T1^11*T2^6 + 31*T1^12*T2^6 + 
     31*T1*T2^7 - 92*T1^2*T2^7 - 69*T1^3*T2^7 + 275*T1^4*T2^7 - 
     151*T1^5*T2^7 + 338*T1^6*T2^7 - 528*T1^7*T2^7 - 96*T1^8*T2^7 - 
     407*T1^9*T2^7 + 536*T1^10*T2^7 - 64*T1^11*T2^7 - 109*T1^12*T2^7 - 
     5*T1^2*T2^8 + 154*T1^3*T2^8 - 100*T1^4*T2^8 - 319*T1^5*T2^8 + 
     374*T1^6*T2^8 - 96*T1^7*T2^8 + 550*T1^8*T2^8 + 99*T1^9*T2^8 - 
     210*T1^10*T2^8 - 154*T1^11*T2^8 + 171*T1^12*T2^8 - 39*T1^3*T2^9 - 
     154*T1^4*T2^9 + 393*T1^5*T2^9 - 65*T1^6*T2^9 - 407*T1^7*T2^9 + 
     99*T1^8*T2^9 - 593*T1^9*T2^9 + 360*T1^10*T2^9 + 154*T1^11*T2^9 - 
     171*T1^12*T2^9 + 83*T1^4*T2^10 - 8*T1^5*T2^10 - 378*T1^6*T2^10 + 
     536*T1^7*T2^10 - 210*T1^8*T2^10 + 360*T1^9*T2^10 + 18*T1^10*T2^10 - 
     316*T1^11*T2^10 + 171*T1^12*T2^10 - 81*T1^5*T2^11 + 176*T1^6*T2^11 - 
     64*T1^7*T2^11 - 154*T1^8*T2^11 + 154*T1^9*T2^11 - 316*T1^10*T2^11 + 
     302*T1^11*T2^11 - 109*T1^12*T2^11 + 31*T1^6*T2^12 - 109*T1^7*T2^12 + 
     171*T1^8*T2^12 - 171*T1^9*T2^12 + 171*T1^10*T2^12 - 109*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 20] -> {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   -((-18 + 54*T1 - 68*T1^2 + 54*T1^3 - 18*T1^4 + 54*T2 - 189*T1*T2 + 
      285*T1^2*T2 - 255*T1^3*T2 + 135*T1^4*T2 - 27*T1^5*T2 - 68*T2^2 + 
      285*T1*T2^2 - 393*T1^2*T2^2 + 153*T1^3*T2^2 + 135*T1^4*T2^2 - 
      309*T1^5*T2^2 + 130*T1^6*T2^2 + 54*T2^3 - 255*T1*T2^3 + 153*T1^2*T2^3 + 
      414*T1^3*T2^3 - 594*T1^4*T2^3 + 450*T1^5*T2^3 + 177*T1^6*T2^3 - 
      189*T1^7*T2^3 - 18*T2^4 + 135*T1*T2^4 + 135*T1^2*T2^4 - 594*T1^3*T2^4 + 
      120*T1^4*T2^4 + 378*T1^5*T2^4 - 927*T1^6*T2^4 + 297*T1^7*T2^4 + 
      90*T1^8*T2^4 - 27*T1*T2^5 - 309*T1^2*T2^5 + 450*T1^3*T2^5 + 
      378*T1^4*T2^5 - 630*T1^5*T2^5 + 747*T1^6*T2^5 + 123*T1^7*T2^5 - 
      270*T1^8*T2^5 + 130*T1^2*T2^6 + 177*T1^3*T2^6 - 927*T1^4*T2^6 + 
      747*T1^5*T2^6 - 399*T1^6*T2^6 - 417*T1^7*T2^6 + 328*T1^8*T2^6 - 
      189*T1^3*T2^7 + 297*T1^4*T2^7 + 123*T1^5*T2^7 - 417*T1^6*T2^7 + 
      621*T1^7*T2^7 - 270*T1^8*T2^7 + 90*T1^4*T2^8 - 270*T1^5*T2^8 + 
      328*T1^6*T2^8 - 270*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 21] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((-7 + 25*T1 - 33*T1^2 + 33*T1^3 - 33*T1^4 + 25*T1^5 - 7*T1^6 + 25*T2 - 
      92*T1*T2 + 126*T1^2*T2 - 126*T1^3*T2 + 126*T1^4*T2 - 98*T1^5*T2 + 
      34*T1^6*T2 - 3*T1^7*T2 - 33*T2^2 + 126*T1*T2^2 - 141*T1^2*T2^2 + 
      61*T1^3*T2^2 - 33*T1^4*T2^2 - 11*T1^5*T2^2 + 111*T1^6*T2^2 - 
      126*T1^7*T2^2 + 39*T1^8*T2^2 + 33*T2^3 - 126*T1*T2^3 + 61*T1^2*T2^3 + 
      149*T1^3*T2^3 - 125*T1^4*T2^3 + 145*T1^5*T2^3 - 265*T1^6*T2^3 + 
      142*T1^7*T2^3 + 126*T1^8*T2^3 - 75*T1^9*T2^3 - 33*T2^4 + 126*T1*T2^4 - 
      33*T1^2*T2^4 - 125*T1^3*T2^4 - 82*T1^4*T2^4 - 16*T1^5*T2^4 + 
      170*T1^6*T2^4 + 109*T1^7*T2^4 - 267*T1^8*T2^4 - 126*T1^9*T2^4 + 
      111*T1^10*T2^4 + 25*T2^5 - 98*T1*T2^5 - 11*T1^2*T2^5 + 145*T1^3*T2^5 - 
      16*T1^4*T2^5 + 422*T1^5*T2^5 - 514*T1^6*T2^5 + 137*T1^7*T2^5 - 
      197*T1^8*T2^5 + 520*T1^9*T2^5 + 14*T1^10*T2^5 - 115*T1^11*T2^5 - 
      7*T2^6 + 34*T1*T2^6 + 111*T1^2*T2^6 - 265*T1^3*T2^6 + 170*T1^4*T2^6 - 
      514*T1^5*T2^6 + 132*T1^6*T2^6 + 366*T1^7*T2^6 - 244*T1^8*T2^6 + 
      149*T1^9*T2^6 - 721*T1^10*T2^6 + 258*T1^11*T2^6 + 41*T1^12*T2^6 - 
      3*T1*T2^7 - 126*T1^2*T2^7 + 142*T1^3*T2^7 + 109*T1^4*T2^7 + 
      137*T1^5*T2^7 + 366*T1^6*T2^7 - 570*T1^7*T2^7 + 290*T1^8*T2^7 - 
      233*T1^9*T2^7 + 673*T1^10*T2^7 - 14*T1^11*T2^7 - 143*T1^12*T2^7 + 
      39*T1^2*T2^8 + 126*T1^3*T2^8 - 267*T1^4*T2^8 - 197*T1^5*T2^8 - 
      244*T1^6*T2^8 + 290*T1^7*T2^8 + 8*T1^8*T2^8 + 37*T1^9*T2^8 - 
      501*T1^10*T2^8 - 126*T1^11*T2^8 + 183*T1^12*T2^8 - 75*T1^3*T2^9 - 
      126*T1^4*T2^9 + 520*T1^5*T2^9 + 149*T1^6*T2^9 - 233*T1^7*T2^9 + 
      37*T1^8*T2^9 - 265*T1^9*T2^9 + 601*T1^10*T2^9 + 126*T1^11*T2^9 - 
      183*T1^12*T2^9 + 111*T1^4*T2^10 + 14*T1^5*T2^10 - 721*T1^6*T2^10 + 
      673*T1^7*T2^10 - 501*T1^8*T2^10 + 601*T1^9*T2^10 - 469*T1^10*T2^10 - 
      238*T1^11*T2^10 + 183*T1^12*T2^10 - 115*T1^5*T2^11 + 258*T1^6*T2^11 - 
      14*T1^7*T2^11 - 126*T1^8*T2^11 + 126*T1^9*T2^11 - 238*T1^10*T2^11 + 
      384*T1^11*T2^11 - 143*T1^12*T2^11 + 41*T1^6*T2^12 - 143*T1^7*T2^12 + 
      183*T1^8*T2^12 - 183*T1^9*T2^12 + 183*T1^10*T2^12 - 143*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 22] -> {-(((-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/
     T^3), -((-25 + 75*T1 - 125*T1^2 + 163*T1^3 - 125*T1^4 + 75*T1^5 - 
      25*T1^6 + 75*T2 - 174*T1*T2 + 222*T1^2*T2 - 234*T1^3*T2 + 42*T1^4*T2 + 
      30*T1^5*T2 - 78*T1^6*T2 + 51*T1^7*T2 - 125*T2^2 + 222*T1*T2^2 - 
      211*T1^2*T2^2 + 189*T1^3*T2^2 + 141*T1^4*T2^2 - 91*T1^5*T2^2 + 
      109*T1^6*T2^2 - 18*T1^7*T2^2 - 45*T1^8*T2^2 + 163*T2^3 - 234*T1*T2^3 + 
      189*T1^2*T2^3 - 204*T1^3*T2^3 - 184*T1^4*T2^3 - 52*T1^5*T2^3 + 
      6*T1^6*T2^3 - 111*T1^7*T2^3 + 114*T1^8*T2^3 + 7*T1^9*T2^3 - 125*T2^4 + 
      42*T1*T2^4 + 141*T1^2*T2^4 - 184*T1^3*T2^4 + 557*T1^4*T2^4 - 
      83*T1^5*T2^4 + 105*T1^6*T2^4 + 24*T1^7*T2^4 + 5*T1^8*T2^4 - 
      126*T1^9*T2^4 + 35*T1^10*T2^4 + 75*T2^5 + 30*T1*T2^5 - 91*T1^2*T2^5 - 
      52*T1^3*T2^5 - 83*T1^4*T2^5 - 416*T1^5*T2^5 + 174*T1^6*T2^5 - 
      63*T1^7*T2^5 - 32*T1^8*T2^5 + 129*T1^9*T2^5 + 30*T1^10*T2^5 - 
      45*T1^11*T2^5 - 25*T2^6 - 78*T1*T2^6 + 109*T1^2*T2^6 + 6*T1^3*T2^6 + 
      105*T1^4*T2^6 + 174*T1^5*T2^6 + 108*T1^6*T2^6 - 218*T1^7*T2^6 + 
      73*T1^8*T2^6 - 66*T1^9*T2^6 - 115*T1^10*T2^6 + 66*T1^11*T2^6 + 
      23*T1^12*T2^6 + 51*T1*T2^7 - 18*T1^2*T2^7 - 111*T1^3*T2^7 + 
      24*T1^4*T2^7 - 63*T1^5*T2^7 - 218*T1^6*T2^7 + 372*T1^7*T2^7 - 
      43*T1^8*T2^7 + 44*T1^9*T2^7 + 109*T1^10*T2^7 - 18*T1^11*T2^7 - 
      69*T1^12*T2^7 - 45*T1^2*T2^8 + 114*T1^3*T2^8 + 5*T1^4*T2^8 - 
      32*T1^5*T2^8 + 73*T1^6*T2^8 - 43*T1^7*T2^8 - 379*T1^8*T2^8 + 
      176*T1^9*T2^8 - 131*T1^10*T2^8 - 54*T1^11*T2^8 + 115*T1^12*T2^8 + 
      7*T1^3*T2^9 - 126*T1^4*T2^9 + 129*T1^5*T2^9 - 66*T1^6*T2^9 + 
      44*T1^7*T2^9 + 176*T1^8*T2^9 + 144*T1^9*T2^9 - 171*T1^10*T2^9 + 
      222*T1^11*T2^9 - 149*T1^12*T2^9 + 35*T1^4*T2^10 + 30*T1^5*T2^10 - 
      115*T1^6*T2^10 + 109*T1^7*T2^10 - 131*T1^8*T2^10 - 171*T1^9*T2^10 + 
      205*T1^10*T2^10 - 210*T1^11*T2^10 + 115*T1^12*T2^10 - 45*T1^5*T2^11 + 
      66*T1^6*T2^11 - 18*T1^7*T2^11 - 54*T1^8*T2^11 + 222*T1^9*T2^11 - 
      210*T1^10*T2^11 + 162*T1^11*T2^11 - 69*T1^12*T2^11 + 23*T1^6*T2^12 - 
      69*T1^7*T2^12 + 115*T1^8*T2^12 - 149*T1^9*T2^12 + 115*T1^10*T2^12 - 
      69*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 23] -> {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-33 + 115*T1 - 213*T1^2 + 245*T1^3 - 213*T1^4 + 115*T1^5 - 33*T1^6 + 
     115*T2 - 314*T1*T2 + 440*T1^2*T2 - 294*T1^3*T2 + 98*T1^4*T2 + 
     160*T1^5*T2 - 188*T1^6*T2 + 87*T1^7*T2 - 213*T2^2 + 440*T1*T2^2 - 
     430*T1^2*T2^2 - 8*T1^3*T2^2 + 204*T1^4*T2^2 - 424*T1^5*T2^2 + 
     142*T1^6*T2^2 + 76*T1^7*T2^2 - 109*T1^8*T2^2 + 245*T2^3 - 294*T1*T2^3 - 
     8*T1^2*T2^3 + 609*T1^3*T2^3 - 425*T1^4*T2^3 + 323*T1^5*T2^3 + 
     319*T1^6*T2^3 - 359*T1^7*T2^3 + 154*T1^8*T2^3 + 65*T1^9*T2^3 - 
     213*T2^4 + 98*T1*T2^4 + 204*T1^2*T2^4 - 425*T1^3*T2^4 - 371*T1^4*T2^4 + 
     567*T1^5*T2^4 - 907*T1^6*T2^4 + 325*T1^7*T2^4 + 86*T1^8*T2^4 - 
     210*T1^9*T2^4 - 5*T1^10*T2^4 + 115*T2^5 + 160*T1*T2^5 - 424*T1^2*T2^5 + 
     323*T1^3*T2^5 + 567*T1^4*T2^5 - 394*T1^5*T2^5 + 236*T1^6*T2^5 + 
     398*T1^7*T2^5 - 421*T1^8*T2^5 + 187*T1^9*T2^5 + 104*T1^10*T2^5 - 
     25*T1^11*T2^5 - 33*T2^6 - 188*T1*T2^6 + 142*T1^2*T2^6 + 319*T1^3*T2^6 - 
     907*T1^4*T2^6 + 236*T1^5*T2^6 + 216*T1^6*T2^6 - 480*T1^7*T2^6 + 
     183*T1^8*T2^6 + 141*T1^9*T2^6 - 242*T1^10*T2^6 + 36*T1^11*T2^6 + 
     15*T1^12*T2^6 + 87*T1*T2^7 + 76*T1^2*T2^7 - 359*T1^3*T2^7 + 
     325*T1^4*T2^7 + 398*T1^5*T2^7 - 480*T1^6*T2^7 + 150*T1^7*T2^7 + 
     229*T1^8*T2^7 - 419*T1^9*T2^7 + 252*T1^10*T2^7 + 20*T1^11*T2^7 - 
     53*T1^12*T2^7 - 109*T1^2*T2^8 + 154*T1^3*T2^8 + 86*T1^4*T2^8 - 
     421*T1^5*T2^8 + 183*T1^6*T2^8 + 229*T1^7*T2^8 - 353*T1^8*T2^8 + 
     329*T1^9*T2^8 - 32*T1^10*T2^8 - 154*T1^11*T2^8 + 99*T1^12*T2^8 + 
     65*T1^3*T2^9 - 210*T1^4*T2^9 + 187*T1^5*T2^9 + 141*T1^6*T2^9 - 
     419*T1^7*T2^9 + 329*T1^8*T2^9 - 149*T1^9*T2^9 - 164*T1^10*T2^9 + 
     238*T1^11*T2^9 - 115*T1^12*T2^9 - 5*T1^4*T2^10 + 104*T1^5*T2^10 - 
     242*T1^6*T2^10 + 252*T1^7*T2^10 - 32*T1^8*T2^10 - 164*T1^9*T2^10 + 
     330*T1^10*T2^10 - 260*T1^11*T2^10 + 99*T1^12*T2^10 - 25*T1^5*T2^11 + 
     36*T1^6*T2^11 + 20*T1^7*T2^11 - 154*T1^8*T2^11 + 238*T1^9*T2^11 - 
     260*T1^10*T2^11 + 162*T1^11*T2^11 - 53*T1^12*T2^11 + 15*T1^6*T2^12 - 
     53*T1^7*T2^12 + 99*T1^8*T2^12 - 115*T1^9*T2^12 + 99*T1^10*T2^12 - 
     53*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 24] -> {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((-48 + 172*T1 - 240*T1^2 + 172*T1^3 - 48*T1^4 + 172*T2 - 666*T1*T2 + 
      1024*T1^2*T2 - 824*T1^3*T2 + 342*T1^4*T2 - 52*T1^5*T2 - 240*T2^2 + 
      1024*T1*T2^2 - 1393*T1^2*T2^2 + 329*T1^3*T2^2 + 887*T1^4*T2^2 - 
      1104*T1^5*T2^2 + 368*T1^6*T2^2 + 172*T2^3 - 824*T1*T2^3 + 
      329*T1^2*T2^3 + 2346*T1^3*T2^3 - 3408*T1^4*T2^3 + 1925*T1^5*T2^3 + 
      464*T1^6*T2^3 - 500*T1^7*T2^3 - 48*T2^4 + 342*T1*T2^4 + 887*T1^2*T2^4 - 
      3408*T1^3*T2^4 + 1836*T1^4*T2^4 + 1576*T1^5*T2^4 - 3385*T1^6*T2^4 + 
      1014*T1^7*T2^4 + 208*T1^8*T2^4 - 52*T1*T2^5 - 1104*T1^2*T2^5 + 
      1925*T1^3*T2^5 + 1576*T1^4*T2^5 - 4178*T1^5*T2^5 + 3521*T1^6*T2^5 + 
      184*T1^7*T2^5 - 724*T1^8*T2^5 + 368*T1^2*T2^6 + 464*T1^3*T2^6 - 
      3385*T1^4*T2^6 + 3521*T1^5*T2^6 - 1105*T1^6*T2^6 - 1664*T1^7*T2^6 + 
      976*T1^8*T2^6 - 500*T1^3*T2^7 + 1014*T1^4*T2^7 + 184*T1^5*T2^7 - 
      1664*T1^6*T2^7 + 2022*T1^7*T2^7 - 724*T1^8*T2^7 + 208*T1^4*T2^8 - 
      724*T1^5*T2^8 + 976*T1^6*T2^8 - 724*T1^7*T2^8 + 208*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 25] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-7 + 29*T1 - 53*T1^2 + 65*T1^3 - 53*T1^4 + 29*T1^5 - 7*T1^6 + 29*T2 - 
      122*T1*T2 + 224*T1^2*T2 - 272*T1^3*T2 + 224*T1^4*T2 - 128*T1^5*T2 + 
      38*T1^6*T2 - 3*T1^7*T2 - 53*T2^2 + 224*T1*T2^2 - 358*T1^2*T2^2 + 
      294*T1^3*T2^2 - 50*T1^4*T2^2 - 210*T1^5*T2^2 + 314*T1^6*T2^2 - 
      224*T1^7*T2^2 + 59*T1^8*T2^2 + 65*T2^3 - 272*T1*T2^3 + 294*T1^2*T2^3 + 
      92*T1^3*T2^3 - 516*T1^4*T2^3 + 712*T1^5*T2^3 - 434*T1^6*T2^3 - 
      14*T1^7*T2^3 + 320*T1^8*T2^3 - 139*T1^9*T2^3 - 53*T2^4 + 224*T1*T2^4 - 
      50*T1^2*T2^4 - 516*T1^3*T2^4 + 555*T1^4*T2^4 - 225*T1^5*T2^4 - 
      549*T1^6*T2^4 + 844*T1^7*T2^4 - 658*T1^8*T2^4 - 128*T1^9*T2^4 + 
      171*T1^10*T2^4 + 29*T2^5 - 128*T1*T2^5 - 210*T1^2*T2^5 + 
      712*T1^3*T2^5 - 225*T1^4*T2^5 - 134*T1^5*T2^5 + 652*T1^6*T2^5 - 
      197*T1^7*T2^5 - 252*T1^8*T2^5 + 882*T1^9*T2^5 - 160*T1^10*T2^5 - 
      131*T1^11*T2^5 - 7*T2^6 + 38*T1*T2^6 + 314*T1^2*T2^6 - 434*T1^3*T2^6 - 
      549*T1^4*T2^6 + 652*T1^5*T2^6 - 864*T1^6*T2^6 + 4*T1^7*T2^6 + 
      139*T1^8*T2^6 - 394*T1^9*T2^6 - 614*T1^10*T2^6 + 358*T1^11*T2^6 + 
      41*T1^12*T2^6 - 3*T1*T2^7 - 224*T1^2*T2^7 - 14*T1^3*T2^7 + 
      844*T1^4*T2^7 - 197*T1^5*T2^7 + 4*T1^6*T2^7 + 790*T1^7*T2^7 - 
      169*T1^8*T2^7 - 120*T1^9*T2^7 + 1078*T1^10*T2^7 - 256*T1^11*T2^7 - 
      163*T1^12*T2^7 + 59*T1^2*T2^8 + 320*T1^3*T2^8 - 658*T1^4*T2^8 - 
      252*T1^5*T2^8 + 139*T1^6*T2^8 - 169*T1^7*T2^8 - 965*T1^8*T2^8 + 
      1108*T1^9*T2^8 - 1266*T1^10*T2^8 - 32*T1^11*T2^8 + 283*T1^12*T2^8 - 
      139*T1^3*T2^9 - 128*T1^4*T2^9 + 882*T1^5*T2^9 - 394*T1^6*T2^9 - 
      120*T1^7*T2^9 + 1108*T1^8*T2^9 - 920*T1^9*T2^9 + 574*T1^10*T2^9 + 
      464*T1^11*T2^9 - 343*T1^12*T2^9 + 171*T1^4*T2^10 - 160*T1^5*T2^10 - 
      614*T1^6*T2^10 + 1078*T1^7*T2^10 - 1266*T1^8*T2^10 + 574*T1^9*T2^10 + 
      58*T1^10*T2^10 - 608*T1^11*T2^10 + 283*T1^12*T2^10 - 131*T1^5*T2^11 + 
      358*T1^6*T2^11 - 256*T1^7*T2^11 - 32*T1^8*T2^11 + 464*T1^9*T2^11 - 
      608*T1^10*T2^11 + 518*T1^11*T2^11 - 163*T1^12*T2^11 + 41*T1^6*T2^12 - 
      163*T1^7*T2^12 + 283*T1^8*T2^12 - 343*T1^9*T2^12 + 283*T1^10*T2^12 - 
      163*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 26] -> {-((2 - 7*T + 13*T^2 - 17*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/
     T^3), -((-25 + 87*T1 - 161*T1^2 + 211*T1^3 - 161*T1^4 + 87*T1^5 - 
      25*T1^6 + 87*T2 - 244*T1*T2 + 356*T1^2*T2 - 356*T1^3*T2 + 64*T1^4*T2 + 
      76*T1^5*T2 - 118*T1^6*T2 + 59*T1^7*T2 - 161*T2^2 + 356*T1*T2^2 - 
      383*T1^2*T2^2 + 247*T1^3*T2^2 + 311*T1^4*T2^2 - 273*T1^5*T2^2 + 
      189*T1^6*T2^2 - 8*T1^7*T2^2 - 57*T1^8*T2^2 + 211*T2^3 - 356*T1*T2^3 + 
      247*T1^2*T2^3 - 57*T1^3*T2^3 - 573*T1^4*T2^3 + 117*T1^5*T2^3 + 
      61*T1^6*T2^3 - 260*T1^7*T2^3 + 176*T1^8*T2^3 + 7*T1^9*T2^3 - 161*T2^4 + 
      64*T1*T2^4 + 311*T1^2*T2^4 - 573*T1^3*T2^4 + 1024*T1^4*T2^4 - 
      12*T1^5*T2^4 - 212*T1^6*T2^4 + 277*T1^7*T2^4 - 3*T1^8*T2^4 - 
      188*T1^9*T2^4 + 47*T1^10*T2^4 + 87*T2^5 + 76*T1*T2^5 - 273*T1^2*T2^5 + 
      117*T1^3*T2^5 - 12*T1^4*T2^5 - 1076*T1^5*T2^5 + 724*T1^6*T2^5 - 
      155*T1^7*T2^5 - 253*T1^8*T2^5 + 286*T1^9*T2^5 + 20*T1^10*T2^5 - 
      53*T1^11*T2^5 - 25*T2^6 - 118*T1*T2^6 + 189*T1^2*T2^6 + 61*T1^3*T2^6 - 
      212*T1^4*T2^6 + 724*T1^5*T2^6 + 12*T1^6*T2^6 - 668*T1^7*T2^6 + 
      486*T1^8*T2^6 - 165*T1^9*T2^6 - 195*T1^10*T2^6 + 106*T1^11*T2^6 + 
      23*T1^12*T2^6 + 59*T1*T2^7 - 8*T1^2*T2^7 - 260*T1^3*T2^7 + 
      277*T1^4*T2^7 - 155*T1^5*T2^7 - 668*T1^6*T2^7 + 1132*T1^7*T2^7 - 
      298*T1^8*T2^7 - 93*T1^9*T2^7 + 299*T1^10*T2^7 - 64*T1^11*T2^7 - 
      81*T1^12*T2^7 - 57*T1^2*T2^8 + 176*T1^3*T2^8 - 3*T1^4*T2^8 - 
      253*T1^5*T2^8 + 486*T1^6*T2^8 - 298*T1^7*T2^8 - 750*T1^8*T2^8 + 
      597*T1^9*T2^8 - 317*T1^10*T2^8 - 76*T1^11*T2^8 + 151*T1^12*T2^8 + 
      7*T1^3*T2^9 - 188*T1^4*T2^9 + 286*T1^5*T2^9 - 165*T1^6*T2^9 - 
      93*T1^7*T2^9 + 597*T1^8*T2^9 - 47*T1^9*T2^9 - 221*T1^10*T2^9 + 
      344*T1^11*T2^9 - 197*T1^12*T2^9 + 47*T1^4*T2^10 + 20*T1^5*T2^10 - 
      195*T1^6*T2^10 + 299*T1^7*T2^10 - 317*T1^8*T2^10 - 221*T1^9*T2^10 + 
      377*T1^10*T2^10 - 344*T1^11*T2^10 + 151*T1^12*T2^10 - 53*T1^5*T2^11 + 
      106*T1^6*T2^11 - 64*T1^7*T2^11 - 76*T1^8*T2^11 + 344*T1^9*T2^11 - 
      344*T1^10*T2^11 + 232*T1^11*T2^11 - 81*T1^12*T2^11 + 23*T1^6*T2^12 - 
      81*T1^7*T2^12 + 151*T1^8*T2^12 - 197*T1^9*T2^12 + 151*T1^10*T2^12 - 
      81*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 27] -> {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 61*T1 - 123*T1^2 + 147*T1^3 - 123*T1^4 + 61*T1^5 - 15*T1^6 + 
     61*T2 - 218*T1*T2 + 378*T1^2*T2 - 352*T1^3*T2 + 208*T1^4*T2 - 
     6*T1^5*T2 - 58*T1^6*T2 + 29*T1^7*T2 - 123*T2^2 + 378*T1*T2^2 - 
     510*T1^2*T2^2 + 212*T1^3*T2^2 + 170*T1^4*T2^2 - 492*T1^5*T2^2 + 
     386*T1^6*T2^2 - 134*T1^7*T2^2 + 5*T1^8*T2^2 + 147*T2^3 - 352*T1*T2^3 + 
     212*T1^2*T2^3 + 458*T1^3*T2^3 - 874*T1^4*T2^3 + 870*T1^5*T2^3 - 
     220*T1^6*T2^3 - 332*T1^7*T2^3 + 304*T1^8*T2^3 - 81*T1^9*T2^3 - 
     123*T2^4 + 208*T1*T2^4 + 170*T1^2*T2^4 - 874*T1^3*T2^4 + 886*T1^4*T2^4 - 
     242*T1^5*T2^4 - 666*T1^6*T2^4 + 950*T1^7*T2^4 - 214*T1^8*T2^4 - 
     208*T1^9*T2^4 + 133*T1^10*T2^4 + 61*T2^5 - 6*T1*T2^5 - 492*T1^2*T2^5 + 
     870*T1^3*T2^5 - 242*T1^4*T2^5 - 916*T1^5*T2^5 + 1308*T1^6*T2^5 - 
     754*T1^7*T2^5 - 714*T1^8*T2^5 + 692*T1^9*T2^5 - 134*T1^10*T2^5 - 
     99*T1^11*T2^5 - 15*T2^6 - 58*T1*T2^6 + 386*T1^2*T2^6 - 220*T1^3*T2^6 - 
     666*T1^4*T2^6 + 1308*T1^5*T2^6 - 228*T1^6*T2^6 - 932*T1^7*T2^6 + 
     2022*T1^8*T2^6 - 676*T1^9*T2^6 - 254*T1^10*T2^6 + 262*T1^11*T2^6 + 
     33*T1^12*T2^6 + 29*T1*T2^7 - 134*T1^2*T2^7 - 332*T1^3*T2^7 + 
     950*T1^4*T2^7 - 754*T1^5*T2^7 - 932*T1^6*T2^7 + 1292*T1^7*T2^7 - 
     1266*T1^8*T2^7 - 634*T1^9*T2^7 + 852*T1^10*T2^7 - 262*T1^11*T2^7 - 
     131*T1^12*T2^7 + 5*T1^2*T2^8 + 304*T1^3*T2^8 - 214*T1^4*T2^8 - 
     714*T1^5*T2^8 + 2022*T1^6*T2^8 - 1266*T1^7*T2^8 + 470*T1^8*T2^8 + 
     1110*T1^9*T2^8 - 598*T1^10*T2^8 - 112*T1^11*T2^8 + 261*T1^12*T2^8 - 
     81*T1^3*T2^9 - 208*T1^4*T2^9 + 692*T1^5*T2^9 - 676*T1^6*T2^9 - 
     634*T1^7*T2^9 + 1110*T1^8*T2^9 - 1354*T1^9*T2^9 + 148*T1^10*T2^9 + 
     448*T1^11*T2^9 - 309*T1^12*T2^9 + 133*T1^4*T2^10 - 134*T1^5*T2^10 - 
     254*T1^6*T2^10 + 852*T1^7*T2^10 - 598*T1^8*T2^10 + 148*T1^9*T2^10 + 
     642*T1^10*T2^10 - 646*T1^11*T2^10 + 261*T1^12*T2^10 - 99*T1^5*T2^11 + 
     262*T1^6*T2^11 - 262*T1^7*T2^11 - 112*T1^8*T2^11 + 448*T1^9*T2^11 - 
     646*T1^10*T2^11 + 422*T1^11*T2^11 - 131*T1^12*T2^11 + 33*T1^6*T2^12 - 
     131*T1^7*T2^12 + 261*T1^8*T2^12 - 309*T1^9*T2^12 + 261*T1^10*T2^12 - 
     131*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 28] -> {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   (-144 + 468*T1 - 688*T1^2 + 468*T1^3 - 144*T1^4 + 468*T2 - 1262*T1*T2 + 
     1392*T1^2*T2 - 272*T1^3*T2 - 378*T1^4*T2 + 260*T1^5*T2 - 688*T2^2 + 
     1392*T1*T2^2 - 677*T1^2*T2^2 - 1467*T1^3*T2^2 + 1603*T1^4*T2^2 - 
     584*T1^5*T2^2 - 80*T1^6*T2^2 + 468*T2^3 - 272*T1*T2^3 - 1467*T1^2*T2^3 + 
     3407*T1^3*T2^3 - 1845*T1^4*T2^3 - 232*T1^5*T2^3 + 768*T1^6*T2^3 - 
     156*T1^7*T2^3 - 144*T2^4 - 378*T1*T2^4 + 1603*T1^2*T2^4 - 
     1845*T1^3*T2^4 - 780*T1^4*T2^4 + 2393*T1^5*T2^4 - 1575*T1^6*T2^4 + 
     142*T1^7*T2^4 + 112*T1^8*T2^4 + 260*T1*T2^5 - 584*T1^2*T2^5 - 
     232*T1^3*T2^5 + 2393*T1^4*T2^5 - 2859*T1^5*T2^5 + 1003*T1^6*T2^5 + 
     456*T1^7*T2^5 - 364*T1^8*T2^5 - 80*T1^2*T2^6 + 768*T1^3*T2^6 - 
     1575*T1^4*T2^6 + 1003*T1^5*T2^6 + 705*T1^6*T2^6 - 1208*T1^7*T2^6 + 
     528*T1^8*T2^6 - 156*T1^3*T2^7 + 142*T1^4*T2^7 + 456*T1^5*T2^7 - 
     1208*T1^6*T2^7 + 1026*T1^7*T2^7 - 364*T1^8*T2^7 + 112*T1^4*T2^8 - 
     364*T1^5*T2^8 + 528*T1^6*T2^8 - 364*T1^7*T2^8 + 112*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 29] -> 
  {(1 - 7*T + 15*T^2 - 17*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 30*T1^2 + 34*T1^3 - 30*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 161*T1^2*T2 - 133*T1^3*T2 + 91*T1^4*T2 + 7*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 30*T2^2 + 161*T1*T2^2 - 107*T1^2*T2^2 - 
     225*T1^3*T2^2 + 381*T1^4*T2^2 - 525*T1^5*T2^2 + 313*T1^6*T2^2 - 
     49*T1^7*T2^2 + 34*T2^3 - 133*T1*T2^3 - 225*T1^2*T2^3 + 962*T1^3*T2^3 - 
     1126*T1^4*T2^3 + 1112*T1^5*T2^3 - 430*T1^6*T2^3 - 150*T1^7*T2^3 + 
     119*T1^8*T2^3 - 17*T1^9*T2^3 - 30*T2^4 + 91*T1*T2^4 + 381*T1^2*T2^4 - 
     1126*T1^3*T2^4 + 879*T1^4*T2^4 - 383*T1^5*T2^4 - 661*T1^6*T2^4 + 
     1186*T1^7*T2^4 - 385*T1^8*T2^4 - 91*T1^9*T2^4 + 30*T1^10*T2^4 + 
     14*T2^5 + 7*T1*T2^5 - 525*T1^2*T2^5 + 1112*T1^3*T2^5 - 383*T1^4*T2^5 - 
     419*T1^5*T2^5 + 1091*T1^6*T2^5 - 848*T1^7*T2^5 - 978*T1^8*T2^5 + 
     900*T1^9*T2^5 - 63*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     313*T1^2*T2^6 - 430*T1^3*T2^6 - 661*T1^4*T2^6 + 1091*T1^5*T2^6 - 
     324*T1^6*T2^6 - 707*T1^7*T2^6 + 2397*T1^8*T2^6 - 742*T1^9*T2^6 - 
     519*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     49*T1^2*T2^7 - 150*T1^3*T2^7 + 1186*T1^4*T2^7 - 848*T1^5*T2^7 - 
     707*T1^6*T2^7 + 803*T1^7*T2^7 - 1313*T1^8*T2^7 - 904*T1^9*T2^7 + 
     1275*T1^10*T2^7 - 119*T1^11*T2^7 - 28*T1^12*T2^7 + 119*T1^3*T2^8 - 
     385*T1^4*T2^8 - 978*T1^5*T2^8 + 2397*T1^6*T2^8 - 1313*T1^7*T2^8 + 
     857*T1^8*T2^8 + 1334*T1^9*T2^8 - 1151*T1^10*T2^8 - 63*T1^11*T2^8 + 
     60*T1^12*T2^8 - 17*T1^3*T2^9 - 91*T1^4*T2^9 + 900*T1^5*T2^9 - 
     742*T1^6*T2^9 - 904*T1^7*T2^9 + 1334*T1^8*T2^9 - 2134*T1^9*T2^9 + 
     975*T1^10*T2^9 + 161*T1^11*T2^9 - 68*T1^12*T2^9 + 30*T1^4*T2^10 - 
     63*T1^5*T2^10 - 519*T1^6*T2^10 + 1275*T1^7*T2^10 - 1151*T1^8*T2^10 + 
     975*T1^9*T2^10 - 99*T1^10*T2^10 - 273*T1^11*T2^10 + 60*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 119*T1^7*T2^11 - 63*T1^8*T2^11 + 
     161*T1^9*T2^11 - 273*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 60*T1^8*T2^12 - 68*T1^9*T2^12 + 
     60*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 30] -> 
  {-((4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4)/T^2), 
   -((-48 + 212*T1 - 320*T1^2 + 212*T1^3 - 48*T1^4 + 212*T2 - 990*T1*T2 + 
      1624*T1^2*T2 - 1232*T1^3*T2 + 438*T1^4*T2 - 60*T1^5*T2 - 320*T2^2 + 
      1624*T1*T2^2 - 2424*T1^2*T2^2 + 464*T1^3*T2^2 + 1776*T1^4*T2^2 - 
      1776*T1^5*T2^2 + 480*T1^6*T2^2 + 212*T2^3 - 1232*T1*T2^3 + 
      464*T1^2*T2^3 + 5343*T1^3*T2^3 - 8223*T1^4*T2^3 + 4289*T1^5*T2^3 + 
      536*T1^6*T2^3 - 604*T1^7*T2^3 - 48*T2^4 + 438*T1*T2^4 + 
      1776*T1^2*T2^4 - 8223*T1^3*T2^4 + 6240*T1^4*T2^4 + 2827*T1^5*T2^4 - 
      6450*T1^6*T2^4 + 1662*T1^7*T2^4 + 208*T1^8*T2^4 - 60*T1*T2^5 - 
      1776*T1^2*T2^5 + 4289*T1^3*T2^5 + 2827*T1^4*T2^5 - 10739*T1^5*T2^5 + 
      8114*T1^6*T2^5 - 8*T1^7*T2^5 - 876*T1^8*T2^5 + 480*T1^2*T2^6 + 
      536*T1^3*T2^6 - 6450*T1^4*T2^6 + 8114*T1^5*T2^6 - 2250*T1^6*T2^6 - 
      2864*T1^7*T2^6 + 1280*T1^8*T2^6 - 604*T1^3*T2^7 + 1662*T1^4*T2^7 - 
      8*T1^5*T2^7 - 2864*T1^6*T2^7 + 3090*T1^7*T2^7 - 876*T1^8*T2^7 + 
      208*T1^4*T2^8 - 876*T1^5*T2^8 + 1280*T1^6*T2^8 - 876*T1^7*T2^8 + 
      208*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 31] -> {(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4)/T^2, 
   (-128 + 444*T1 - 664*T1^2 + 444*T1^3 - 128*T1^4 + 444*T2 - 1322*T1*T2 + 
     1548*T1^2*T2 - 412*T1^3*T2 - 314*T1^4*T2 + 220*T1^5*T2 - 664*T2^2 + 
     1548*T1*T2^2 - 829*T1^2*T2^2 - 1633*T1^3*T2^2 + 2027*T1^4*T2^2 - 
     804*T1^5*T2^2 + 8*T1^6*T2^2 + 444*T2^3 - 412*T1*T2^3 - 1633*T1^2*T2^3 + 
     4258*T1^3*T2^3 - 3008*T1^4*T2^3 + 131*T1^5*T2^3 + 764*T1^6*T2^3 - 
     228*T1^7*T2^3 - 128*T2^4 - 314*T1*T2^4 + 2027*T1^2*T2^4 - 
     3008*T1^3*T2^4 + 336*T1^4*T2^4 + 2760*T1^5*T2^4 - 2117*T1^6*T2^4 + 
     358*T1^7*T2^4 + 128*T1^8*T2^4 + 220*T1*T2^5 - 804*T1^2*T2^5 + 
     131*T1^3*T2^5 + 2760*T1^4*T2^5 - 4506*T1^5*T2^5 + 1895*T1^6*T2^5 + 
     372*T1^7*T2^5 - 452*T1^8*T2^5 + 8*T1^2*T2^6 + 764*T1^3*T2^6 - 
     2117*T1^4*T2^6 + 1895*T1^5*T2^6 + 739*T1^6*T2^6 - 1588*T1^7*T2^6 + 
     680*T1^8*T2^6 - 228*T1^3*T2^7 + 358*T1^4*T2^7 + 372*T1^5*T2^7 - 
     1588*T1^6*T2^7 + 1366*T1^7*T2^7 - 452*T1^8*T2^7 + 128*T1^4*T2^8 - 
     452*T1^5*T2^8 + 680*T1^6*T2^8 - 452*T1^7*T2^8 + 128*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 32] -> 
  {-(((1 - T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3), 
   -((-23 + 93*T1 - 175*T1^2 + 221*T1^3 - 175*T1^4 + 93*T1^5 - 23*T1^6 + 
      93*T2 - 314*T1*T2 + 458*T1^2*T2 - 426*T1^3*T2 + 118*T1^4*T2 + 
      90*T1^5*T2 - 154*T1^6*T2 + 61*T1^7*T2 - 175*T2^2 + 458*T1*T2^2 - 
      378*T1^2*T2^2 + 2*T1^3*T2^2 + 652*T1^4*T2^2 - 658*T1^5*T2^2 + 
      402*T1^6*T2^2 - 22*T1^7*T2^2 - 55*T1^8*T2^2 + 221*T2^3 - 426*T1*T2^3 + 
      2*T1^2*T2^3 + 564*T1^3*T2^3 - 1076*T1^4*T2^3 + 382*T1^5*T2^3 + 
      198*T1^6*T2^3 - 508*T1^7*T2^3 + 246*T1^8*T2^3 - 7*T1^9*T2^3 - 
      175*T2^4 + 118*T1*T2^4 + 652*T1^2*T2^4 - 1076*T1^3*T2^4 + 
      864*T1^4*T2^4 + 508*T1^5*T2^4 - 920*T1^6*T2^4 + 596*T1^7*T2^4 + 
      20*T1^8*T2^4 - 234*T1^9*T2^4 + 65*T1^10*T2^4 + 93*T2^5 + 90*T1*T2^5 - 
      658*T1^2*T2^5 + 382*T1^3*T2^5 + 508*T1^4*T2^5 - 1407*T1^5*T2^5 + 
      803*T1^6*T2^5 + 313*T1^7*T2^5 - 648*T1^8*T2^5 + 452*T1^9*T2^5 + 
      10*T1^10*T2^5 - 67*T1^11*T2^5 - 23*T2^6 - 154*T1*T2^6 + 402*T1^2*T2^6 + 
      198*T1^3*T2^6 - 920*T1^4*T2^6 + 803*T1^5*T2^6 + 144*T1^6*T2^6 - 
      1011*T1^7*T2^6 + 426*T1^8*T2^6 - 18*T1^9*T2^6 - 386*T1^10*T2^6 + 
      166*T1^11*T2^6 + 25*T1^12*T2^6 + 61*T1*T2^7 - 22*T1^2*T2^7 - 
      508*T1^3*T2^7 + 596*T1^4*T2^7 + 313*T1^5*T2^7 - 1011*T1^6*T2^7 + 
      1199*T1^7*T2^7 + 118*T1^8*T2^7 - 434*T1^9*T2^7 + 602*T1^10*T2^7 - 
      102*T1^11*T2^7 - 99*T1^12*T2^7 - 55*T1^2*T2^8 + 246*T1^3*T2^8 + 
      20*T1^4*T2^8 - 648*T1^5*T2^8 + 426*T1^6*T2^8 + 118*T1^7*T2^8 - 
      1358*T1^8*T2^8 + 1024*T1^9*T2^8 - 612*T1^10*T2^8 - 106*T1^11*T2^8 + 
      185*T1^12*T2^8 - 7*T1^3*T2^9 - 234*T1^4*T2^9 + 452*T1^5*T2^9 - 
      18*T1^6*T2^9 - 434*T1^7*T2^9 + 1024*T1^8*T2^9 - 384*T1^9*T2^9 - 
      58*T1^10*T2^9 + 438*T1^11*T2^9 - 235*T1^12*T2^9 + 65*T1^4*T2^10 + 
      10*T1^5*T2^10 - 386*T1^6*T2^10 + 602*T1^7*T2^10 - 612*T1^8*T2^10 - 
      58*T1^9*T2^10 + 394*T1^10*T2^10 - 470*T1^11*T2^10 + 185*T1^12*T2^10 - 
      67*T1^5*T2^11 + 166*T1^6*T2^11 - 102*T1^7*T2^11 - 106*T1^8*T2^11 + 
      438*T1^9*T2^11 - 470*T1^10*T2^11 + 326*T1^11*T2^11 - 99*T1^12*T2^11 + 
      25*T1^6*T2^12 - 99*T1^7*T2^12 + 185*T1^8*T2^12 - 235*T1^9*T2^12 + 
      185*T1^10*T2^12 - 99*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 33] -> 
  {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 
   (8*(4 - 16*T1 + 25*T1^2 - 16*T1^3 + 4*T1^4)*(-1 + T1*T2)^2*(1 + T1*T2)*
     (4 - 16*T2 + 25*T2^2 - 16*T2^3 + 4*T2^4))/(T1^5*T2^4)}, 
 Knot[10, 34] -> {(3 - 9*T + 13*T^2 - 9*T^3 + 3*T^4)/T^2, 
   (-63 + 189*T1 - 275*T1^2 + 189*T1^3 - 63*T1^4 + 189*T2 - 459*T1*T2 + 
     501*T1^2*T2 - 93*T1^3*T2 - 135*T1^4*T2 + 108*T1^5*T2 - 275*T2^2 + 
     501*T1*T2^2 - 294*T1^2*T2^2 - 432*T1^3*T2^2 + 486*T1^4*T2^2 - 
     201*T1^5*T2^2 - 41*T1^6*T2^2 + 189*T2^3 - 93*T1*T2^3 - 432*T1^2*T2^3 + 
     1062*T1^3*T2^3 - 540*T1^4*T2^3 - 81*T1^5*T2^3 + 285*T1^6*T2^3 - 
     54*T1^7*T2^3 - 63*T2^4 - 135*T1*T2^4 + 486*T1^2*T2^4 - 540*T1^3*T2^4 - 
     312*T1^4*T2^4 + 756*T1^5*T2^4 - 504*T1^6*T2^4 + 27*T1^7*T2^4 + 
     45*T1^8*T2^4 + 108*T1*T2^5 - 201*T1^2*T2^5 - 81*T1^3*T2^5 + 
     756*T1^4*T2^5 - 846*T1^5*T2^5 + 270*T1^6*T2^5 + 177*T1^7*T2^5 - 
     135*T1^8*T2^5 - 41*T1^2*T2^6 + 285*T1^3*T2^6 - 504*T1^4*T2^6 + 
     270*T1^5*T2^6 + 276*T1^6*T2^6 - 417*T1^7*T2^6 + 193*T1^8*T2^6 - 
     54*T1^3*T2^7 + 27*T1^4*T2^7 + 177*T1^5*T2^7 - 417*T1^6*T2^7 + 
     351*T1^7*T2^7 - 135*T1^8*T2^7 + 45*T1^4*T2^8 - 135*T1^5*T2^8 + 
     193*T1^6*T2^8 - 135*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 35] -> {((2 - 4*T + T^2)*(1 - 4*T + 2*T^2))/T^2, 
   (-17 + 103*T1 - 181*T1^2 + 103*T1^3 - 17*T1^4 + 103*T2 - 570*T1*T2 + 
     762*T1^2*T2 - 30*T1^3*T2 - 234*T1^4*T2 + 55*T1^5*T2 - 181*T2^2 + 
     762*T1*T2^2 + 112*T1^2*T2^2 - 2442*T1^3*T2^2 + 1708*T1^4*T2^2 - 
     246*T1^5*T2^2 - 13*T1^6*T2^2 + 103*T2^3 - 30*T1*T2^3 - 2442*T1^2*T2^3 + 
     5136*T1^3*T2^3 - 2172*T1^4*T2^3 - 426*T1^5*T2^3 + 330*T1^6*T2^3 - 
     41*T1^7*T2^3 - 17*T2^4 - 234*T1*T2^4 + 1708*T1^2*T2^4 - 2172*T1^3*T2^4 - 
     1392*T1^4*T2^4 + 3108*T1^5*T2^4 - 1412*T1^6*T2^4 + 150*T1^7*T2^4 + 
     15*T1^8*T2^4 + 55*T1*T2^5 - 246*T1^2*T2^5 - 426*T1^3*T2^5 + 
     3108*T1^4*T2^5 - 4200*T1^5*T2^5 + 1590*T1^6*T2^5 + 114*T1^7*T2^5 - 
     89*T1^8*T2^5 - 13*T1^2*T2^6 + 330*T1^3*T2^6 - 1412*T1^4*T2^6 + 
     1590*T1^5*T2^6 + 184*T1^6*T2^6 - 678*T1^7*T2^6 + 155*T1^8*T2^6 - 
     41*T1^3*T2^7 + 150*T1^4*T2^7 + 114*T1^5*T2^7 - 678*T1^6*T2^7 + 
     486*T1^7*T2^7 - 89*T1^8*T2^7 + 15*T1^4*T2^8 - 89*T1^5*T2^8 + 
     155*T1^6*T2^8 - 89*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 36] -> {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-18 + 82*T1 - 124*T1^2 + 82*T1^3 - 18*T1^4 + 82*T2 - 405*T1*T2 + 
      693*T1^2*T2 - 555*T1^3*T2 + 219*T1^4*T2 - 35*T1^5*T2 - 124*T2^2 + 
      693*T1*T2^2 - 1137*T1^2*T2^2 + 337*T1^3*T2^2 + 687*T1^4*T2^2 - 
      789*T1^5*T2^2 + 218*T1^6*T2^2 + 82*T2^3 - 555*T1*T2^3 + 337*T1^2*T2^3 + 
      2314*T1^3*T2^3 - 3718*T1^4*T2^3 + 2066*T1^5*T2^3 + 225*T1^6*T2^3 - 
      269*T1^7*T2^3 - 18*T2^4 + 219*T1*T2^4 + 687*T1^2*T2^4 - 
      3718*T1^3*T2^4 + 2832*T1^4*T2^4 + 1222*T1^5*T2^4 - 3023*T1^6*T2^4 + 
      765*T1^7*T2^4 + 90*T1^8*T2^4 - 35*T1*T2^5 - 789*T1^2*T2^5 + 
      2066*T1^3*T2^5 + 1222*T1^4*T2^5 - 4810*T1^5*T2^5 + 3795*T1^6*T2^5 - 
      9*T1^7*T2^5 - 386*T1^8*T2^5 + 218*T1^2*T2^6 + 225*T1^3*T2^6 - 
      3023*T1^4*T2^6 + 3795*T1^5*T2^6 - 1199*T1^6*T2^6 - 1257*T1^7*T2^6 + 
      560*T1^8*T2^6 - 269*T1^3*T2^7 + 765*T1^4*T2^7 - 9*T1^5*T2^7 - 
      1257*T1^6*T2^7 + 1389*T1^7*T2^7 - 386*T1^8*T2^7 + 90*T1^4*T2^8 - 
      386*T1^5*T2^8 + 560*T1^6*T2^8 - 386*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 37] -> 
  {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   ((4 - 13*T1 + 19*T1^2 - 13*T1^3 + 4*T1^4)*(1 + T1*T2)*
     (8 - 13*T1*T2 + 8*T1^2*T2^2)*(4 - 13*T2 + 19*T2^2 - 13*T2^3 + 4*T2^4))/
    (T1^5*T2^4)}, Knot[10, 38] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   -((-48 + 184*T1 - 264*T1^2 + 184*T1^3 - 48*T1^4 + 184*T2 - 756*T1*T2 + 
      1200*T1^2*T2 - 960*T1^3*T2 + 384*T1^4*T2 - 56*T1^5*T2 - 264*T2^2 + 
      1200*T1*T2^2 - 1745*T1^2*T2^2 + 453*T1^3*T2^2 + 1111*T1^4*T2^2 - 
      1320*T1^5*T2^2 + 408*T1^6*T2^2 + 184*T2^3 - 960*T1*T2^3 + 
      453*T1^2*T2^3 + 3135*T1^3*T2^3 - 4785*T1^4*T2^3 + 2658*T1^5*T2^3 + 
      480*T1^6*T2^3 - 536*T1^7*T2^3 - 48*T2^4 + 384*T1*T2^4 + 
      1111*T1^2*T2^4 - 4785*T1^3*T2^4 + 3084*T1^4*T2^4 + 1905*T1^5*T2^4 - 
      4295*T1^6*T2^4 + 1224*T1^7*T2^4 + 208*T1^8*T2^4 - 56*T1*T2^5 - 
      1320*T1^2*T2^5 + 2658*T1^3*T2^5 + 1905*T1^4*T2^5 - 6015*T1^5*T2^5 + 
      4863*T1^6*T2^5 + 120*T1^7*T2^5 - 776*T1^8*T2^5 + 408*T1^2*T2^6 + 
      480*T1^3*T2^6 - 4295*T1^4*T2^6 + 4863*T1^5*T2^6 - 1439*T1^6*T2^6 - 
      2040*T1^7*T2^6 + 1080*T1^8*T2^6 - 536*T1^3*T2^7 + 1224*T1^4*T2^7 + 
      120*T1^5*T2^7 - 2040*T1^6*T2^7 + 2364*T1^7*T2^7 - 776*T1^8*T2^7 + 
      208*T1^4*T2^8 - 776*T1^5*T2^8 + 1080*T1^6*T2^8 - 776*T1^7*T2^8 + 
      208*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 39] -> {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/
     T^3), -((-7 + 29*T1 - 49*T1^2 + 57*T1^3 - 49*T1^4 + 29*T1^5 - 7*T1^6 + 
      29*T2 - 122*T1*T2 + 208*T1^2*T2 - 240*T1^3*T2 + 208*T1^4*T2 - 
      128*T1^5*T2 + 38*T1^6*T2 - 3*T1^7*T2 - 49*T2^2 + 208*T1*T2^2 - 
      302*T1^2*T2^2 + 210*T1^3*T2^2 - 36*T1^4*T2^2 - 154*T1^5*T2^2 + 
      270*T1^6*T2^2 - 208*T1^7*T2^2 + 55*T1^8*T2^2 + 57*T2^3 - 240*T1*T2^3 + 
      210*T1^2*T2^3 + 182*T1^3*T2^3 - 442*T1^4*T2^3 + 580*T1^5*T2^3 - 
      472*T1^6*T2^3 + 80*T1^7*T2^3 + 272*T1^8*T2^3 - 123*T1^9*T2^3 - 
      49*T2^4 + 208*T1*T2^4 - 36*T1^2*T2^4 - 442*T1^3*T2^4 + 325*T1^4*T2^4 - 
      179*T1^5*T2^4 - 211*T1^6*T2^4 + 638*T1^7*T2^4 - 604*T1^8*T2^4 - 
      144*T1^9*T2^4 + 159*T1^10*T2^4 + 29*T2^5 - 128*T1*T2^5 - 
      154*T1^2*T2^5 + 580*T1^3*T2^5 - 179*T1^4*T2^5 + 253*T1^5*T2^5 - 
      39*T1^6*T2^5 - 10*T1^7*T2^5 - 326*T1^8*T2^5 + 912*T1^9*T2^5 - 
      112*T1^10*T2^5 - 131*T1^11*T2^5 - 7*T2^6 + 38*T1*T2^6 + 270*T1^2*T2^6 - 
      472*T1^3*T2^6 - 211*T1^4*T2^6 - 39*T1^5*T2^6 - 264*T1^6*T2^6 + 
      219*T1^7*T2^6 - 21*T1^8*T2^6 - 208*T1^9*T2^6 - 790*T1^10*T2^6 + 
      358*T1^11*T2^6 + 41*T1^12*T2^6 - 3*T1*T2^7 - 208*T1^2*T2^7 + 
      80*T1^3*T2^7 + 638*T1^4*T2^7 - 10*T1^5*T2^7 + 219*T1^6*T2^7 - 
      73*T1^7*T2^7 + 159*T1^8*T2^7 - 268*T1^9*T2^7 + 1146*T1^10*T2^7 - 
      192*T1^11*T2^7 - 163*T1^12*T2^7 + 55*T1^2*T2^8 + 272*T1^3*T2^8 - 
      604*T1^4*T2^8 - 326*T1^5*T2^8 - 21*T1^6*T2^8 + 159*T1^7*T2^8 - 
      557*T1^8*T2^8 + 754*T1^9*T2^8 - 1172*T1^10*T2^8 - 80*T1^11*T2^8 + 
      263*T1^12*T2^8 - 123*T1^3*T2^9 - 144*T1^4*T2^9 + 912*T1^5*T2^9 - 
      208*T1^6*T2^9 - 268*T1^7*T2^9 + 754*T1^8*T2^9 - 862*T1^9*T2^9 + 
      782*T1^10*T2^9 + 368*T1^11*T2^9 - 303*T1^12*T2^9 + 159*T1^4*T2^10 - 
      112*T1^5*T2^10 - 790*T1^6*T2^10 + 1146*T1^7*T2^10 - 1172*T1^8*T2^10 + 
      782*T1^9*T2^10 - 218*T1^10*T2^10 - 528*T1^11*T2^10 + 263*T1^12*T2^10 - 
      131*T1^5*T2^11 + 358*T1^6*T2^11 - 192*T1^7*T2^11 - 80*T1^8*T2^11 + 
      368*T1^9*T2^11 - 528*T1^10*T2^11 + 518*T1^11*T2^11 - 163*T1^12*T2^11 + 
      41*T1^6*T2^12 - 163*T1^7*T2^12 + 263*T1^8*T2^12 - 303*T1^9*T2^12 + 
      263*T1^10*T2^12 - 163*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 40] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-33 + 131*T1 - 277*T1^2 + 341*T1^3 - 277*T1^4 + 131*T1^5 - 33*T1^6 + 
     131*T2 - 422*T1*T2 + 710*T1^2*T2 - 528*T1^3*T2 + 80*T1^4*T2 + 
     310*T1^5*T2 - 262*T1^6*T2 + 99*T1^7*T2 - 277*T2^2 + 710*T1*T2^2 - 
     914*T1^2*T2^2 + 120*T1^3*T2^2 + 580*T1^4*T2^2 - 764*T1^5*T2^2 + 
     106*T1^6*T2^2 + 166*T1^7*T2^2 - 141*T1^8*T2^2 + 341*T2^3 - 528*T1*T2^3 + 
     120*T1^2*T2^3 + 1364*T1^3*T2^3 - 1448*T1^4*T2^3 + 570*T1^5*T2^3 + 
     862*T1^6*T2^3 - 662*T1^7*T2^3 + 208*T1^8*T2^3 + 89*T1^9*T2^3 - 
     277*T2^4 + 80*T1*T2^4 + 580*T1^2*T2^4 - 1448*T1^3*T2^4 - 258*T1^4*T2^4 + 
     1918*T1^5*T2^4 - 2586*T1^6*T2^4 + 736*T1^7*T2^4 + 204*T1^8*T2^4 - 
     336*T1^9*T2^4 - 5*T1^10*T2^4 + 131*T2^5 + 310*T1*T2^5 - 764*T1^2*T2^5 + 
     570*T1^3*T2^5 + 1918*T1^4*T2^5 - 2637*T1^5*T2^5 + 1529*T1^6*T2^5 + 
     1017*T1^7*T2^5 - 1116*T1^8*T2^5 + 426*T1^9*T2^5 + 134*T1^10*T2^5 - 
     29*T1^11*T2^5 - 33*T2^6 - 262*T1*T2^6 + 106*T1^2*T2^6 + 862*T1^3*T2^6 - 
     2586*T1^4*T2^6 + 1529*T1^5*T2^6 + 732*T1^6*T2^6 - 2337*T1^7*T2^6 + 
     1116*T1^8*T2^6 + 86*T1^9*T2^6 - 378*T1^10*T2^6 + 58*T1^11*T2^6 + 
     15*T1^12*T2^6 + 99*T1*T2^7 + 166*T1^2*T2^7 - 662*T1^3*T2^7 + 
     736*T1^4*T2^7 + 1017*T1^5*T2^7 - 2337*T1^6*T2^7 + 1829*T1^7*T2^7 + 
     116*T1^8*T2^7 - 950*T1^9*T2^7 + 528*T1^10*T2^7 - 10*T1^11*T2^7 - 
     61*T1^12*T2^7 - 141*T1^2*T2^8 + 208*T1^3*T2^8 + 204*T1^4*T2^8 - 
     1116*T1^5*T2^8 + 1116*T1^6*T2^8 + 116*T1^7*T2^8 - 1212*T1^8*T2^8 + 
     1068*T1^9*T2^8 - 172*T1^10*T2^8 - 208*T1^11*T2^8 + 131*T1^12*T2^8 + 
     89*T1^3*T2^9 - 336*T1^4*T2^9 + 426*T1^5*T2^9 + 86*T1^6*T2^9 - 
     950*T1^7*T2^9 + 1068*T1^8*T2^9 - 416*T1^9*T2^9 - 356*T1^10*T2^9 + 
     400*T1^11*T2^9 - 163*T1^12*T2^9 - 5*T1^4*T2^10 + 134*T1^5*T2^10 - 
     378*T1^6*T2^10 + 528*T1^7*T2^10 - 172*T1^8*T2^10 - 356*T1^9*T2^10 + 
     642*T1^10*T2^10 - 410*T1^11*T2^10 + 131*T1^12*T2^10 - 29*T1^5*T2^11 + 
     58*T1^6*T2^11 - 10*T1^7*T2^11 - 208*T1^8*T2^11 + 400*T1^9*T2^11 - 
     410*T1^10*T2^11 + 218*T1^11*T2^11 - 61*T1^12*T2^11 + 15*T1^6*T2^12 - 
     61*T1^7*T2^12 + 131*T1^8*T2^12 - 163*T1^9*T2^12 + 131*T1^10*T2^12 - 
     61*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 41] -> {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 34*T1^2 + 42*T1^3 - 34*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 189*T1^2*T2 - 175*T1^3*T2 + 91*T1^4*T2 + 21*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 34*T2^2 + 189*T1*T2^2 - 229*T1^2*T2^2 - 
     139*T1^3*T2^2 + 475*T1^4*T2^2 - 615*T1^5*T2^2 + 315*T1^6*T2^2 - 
     49*T1^7*T2^2 + 42*T2^3 - 175*T1*T2^3 - 139*T1^2*T2^3 + 1156*T1^3*T2^3 - 
     1634*T1^4*T2^3 + 1376*T1^5*T2^3 - 314*T1^6*T2^3 - 258*T1^7*T2^3 + 
     147*T1^8*T2^3 - 21*T1^9*T2^3 - 34*T2^4 + 91*T1*T2^4 + 475*T1^2*T2^4 - 
     1634*T1^3*T2^4 + 1484*T1^4*T2^4 - 162*T1^5*T2^4 - 1544*T1^6*T2^4 + 
     1642*T1^7*T2^4 - 427*T1^8*T2^4 - 91*T1^9*T2^4 + 34*T1^10*T2^4 + 
     14*T2^5 + 21*T1*T2^5 - 615*T1^2*T2^5 + 1376*T1^3*T2^5 - 162*T1^4*T2^5 - 
     2137*T1^5*T2^5 + 3141*T1^6*T2^5 - 1471*T1^7*T2^5 - 1102*T1^8*T2^5 + 
     932*T1^9*T2^5 - 91*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     315*T1^2*T2^6 - 314*T1^3*T2^6 - 1544*T1^4*T2^6 + 3141*T1^5*T2^6 - 
     1344*T1^6*T2^6 - 1857*T1^7*T2^6 + 3690*T1^8*T2^6 - 1154*T1^9*T2^6 - 
     377*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     49*T1^2*T2^7 - 258*T1^3*T2^7 + 1642*T1^4*T2^7 - 1471*T1^5*T2^7 - 
     1857*T1^6*T2^7 + 3421*T1^7*T2^7 - 2780*T1^8*T2^7 - 836*T1^9*T2^7 + 
     1289*T1^10*T2^7 - 161*T1^11*T2^7 - 28*T1^12*T2^7 + 147*T1^3*T2^8 - 
     427*T1^4*T2^8 - 1102*T1^5*T2^8 + 3690*T1^6*T2^8 - 2780*T1^7*T2^8 + 
     662*T1^8*T2^8 + 2174*T1^9*T2^8 - 1329*T1^10*T2^8 - 35*T1^11*T2^8 + 
     68*T1^12*T2^8 - 21*T1^3*T2^9 - 91*T1^4*T2^9 + 932*T1^5*T2^9 - 
     1154*T1^6*T2^9 - 836*T1^7*T2^9 + 2174*T1^8*T2^9 - 2624*T1^9*T2^9 + 
     813*T1^10*T2^9 + 231*T1^11*T2^9 - 84*T1^12*T2^9 + 34*T1^4*T2^10 - 
     91*T1^5*T2^10 - 377*T1^6*T2^10 + 1289*T1^7*T2^10 - 1329*T1^8*T2^10 + 
     813*T1^9*T2^10 + 167*T1^10*T2^10 - 329*T1^11*T2^10 + 68*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 161*T1^7*T2^11 - 35*T1^8*T2^11 + 
     231*T1^9*T2^11 - 329*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 68*T1^8*T2^12 - 84*T1^9*T2^12 + 
     68*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 42] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 301*T1^2*T2 - 301*T1^3*T2 + 21*T1^4*T2 + 119*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 301*T1*T2^2 - 422*T1^2*T2^2 - 
      166*T1^3*T2^2 + 1164*T1^4*T2^2 - 926*T1^5*T2^2 + 262*T1^6*T2^2 + 
      35*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 301*T1*T2^3 - 166*T1^2*T2^3 + 
      1864*T1^3*T2^3 - 3062*T1^4*T2^3 + 950*T1^5*T2^3 + 674*T1^6*T2^3 - 
      641*T1^7*T2^3 + 133*T1^8*T2^3 - 57*T2^4 + 21*T1*T2^4 + 1164*T1^2*T2^4 - 
      3062*T1^3*T2^4 + 2392*T1^4*T2^4 + 2552*T1^5*T2^4 - 3800*T1^6*T2^4 + 
      1690*T1^7*T2^4 - 38*T1^8*T2^4 - 133*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 119*T1*T2^5 - 926*T1^2*T2^5 + 950*T1^3*T2^5 + 
      2552*T1^4*T2^5 - 7805*T1^5*T2^5 + 5699*T1^6*T2^5 - 279*T1^7*T2^5 - 
      1582*T1^8*T2^5 + 689*T1^9*T2^5 - 35*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 262*T1^2*T2^6 + 674*T1^3*T2^6 - 3800*T1^4*T2^6 + 
      5699*T1^5*T2^6 - 552*T1^6*T2^6 - 5255*T1^7*T2^6 + 4018*T1^8*T2^6 - 
      818*T1^9*T2^6 - 274*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 35*T1^2*T2^7 - 641*T1^3*T2^7 + 1690*T1^4*T2^7 - 
      279*T1^5*T2^7 - 5255*T1^6*T2^7 + 8249*T1^7*T2^7 - 3110*T1^8*T2^7 - 
      842*T1^9*T2^7 + 974*T1^10*T2^7 - 119*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 133*T1^3*T2^8 - 38*T1^4*T2^8 - 1582*T1^5*T2^8 + 
      4018*T1^6*T2^8 - 3110*T1^7*T2^8 - 2174*T1^8*T2^8 + 3170*T1^9*T2^8 - 
      1240*T1^10*T2^8 - 21*T1^11*T2^8 + 57*T1^12*T2^8 - 133*T1^4*T2^9 + 
      689*T1^5*T2^9 - 818*T1^6*T2^9 - 842*T1^7*T2^9 + 3170*T1^8*T2^9 - 
      2008*T1^9*T2^9 + 214*T1^10*T2^9 + 301*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 35*T1^5*T2^10 - 274*T1^6*T2^10 + 974*T1^7*T2^10 - 
      1240*T1^8*T2^10 + 214*T1^9*T2^10 + 410*T1^10*T2^10 - 301*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 119*T1^7*T2^11 - 
      21*T1^8*T2^11 + 301*T1^9*T2^11 - 301*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 43] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -(((1 - 7*T1 + 17*T1^2 - 23*T1^3 + 17*T1^4 - 7*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 14*T1*T2 + 20*T1^2*T2^2 - 14*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 7*T2 + 17*T2^2 - 23*T2^3 + 17*T2^4 - 7*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[10, 44] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 38*T1^2 + 50*T1^3 - 38*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 217*T1^2*T2 - 217*T1^3*T2 + 91*T1^4*T2 + 35*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 38*T2^2 + 217*T1*T2^2 - 373*T1^2*T2^2 - 
     7*T1^3*T2^2 + 537*T1^4*T2^2 - 691*T1^5*T2^2 + 311*T1^6*T2^2 - 
     49*T1^7*T2^2 + 50*T2^3 - 217*T1*T2^3 - 7*T1^2*T2^3 + 1336*T1^3*T2^3 - 
     2232*T1^4*T2^3 + 1670*T1^5*T2^3 - 172*T1^6*T2^3 - 368*T1^7*T2^3 + 
     175*T1^8*T2^3 - 25*T1^9*T2^3 - 38*T2^4 + 91*T1*T2^4 + 537*T1^2*T2^4 - 
     2232*T1^3*T2^4 + 2221*T1^4*T2^4 + 293*T1^5*T2^4 - 2711*T1^6*T2^4 + 
     2168*T1^7*T2^4 - 469*T1^8*T2^4 - 91*T1^9*T2^4 + 38*T1^10*T2^4 + 
     14*T2^5 + 35*T1*T2^5 - 691*T1^2*T2^5 + 1670*T1^3*T2^5 + 293*T1^4*T2^5 - 
     4789*T1^5*T2^5 + 6017*T1^6*T2^5 - 2348*T1^7*T2^5 - 1236*T1^8*T2^5 + 
     962*T1^9*T2^5 - 119*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     311*T1^2*T2^6 - 172*T1^3*T2^6 - 2711*T1^4*T2^6 + 6017*T1^5*T2^6 - 
     2724*T1^6*T2^6 - 3493*T1^7*T2^6 + 5499*T1^8*T2^6 - 1652*T1^9*T2^6 - 
     225*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     49*T1^2*T2^7 - 368*T1^3*T2^7 + 2168*T1^4*T2^7 - 2348*T1^5*T2^7 - 
     3493*T1^6*T2^7 + 7313*T1^7*T2^7 - 4989*T1^8*T2^7 - 738*T1^9*T2^7 + 
     1285*T1^10*T2^7 - 203*T1^11*T2^7 - 28*T1^12*T2^7 + 175*T1^3*T2^8 - 
     469*T1^4*T2^8 - 1236*T1^5*T2^8 + 5499*T1^6*T2^8 - 4989*T1^7*T2^8 + 
     567*T1^8*T2^8 + 3164*T1^9*T2^8 - 1475*T1^10*T2^8 - 7*T1^11*T2^8 + 
     76*T1^12*T2^8 - 25*T1^3*T2^9 - 91*T1^4*T2^9 + 962*T1^5*T2^9 - 
     1652*T1^6*T2^9 - 738*T1^7*T2^9 + 3164*T1^8*T2^9 - 3160*T1^9*T2^9 + 
     601*T1^10*T2^9 + 301*T1^11*T2^9 - 100*T1^12*T2^9 + 38*T1^4*T2^10 - 
     119*T1^5*T2^10 - 225*T1^6*T2^10 + 1285*T1^7*T2^10 - 1475*T1^8*T2^10 + 
     601*T1^9*T2^10 + 459*T1^10*T2^10 - 385*T1^11*T2^10 + 76*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 203*T1^7*T2^11 - 7*T1^8*T2^11 + 
     301*T1^9*T2^11 - 385*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 76*T1^8*T2^12 - 100*T1^9*T2^12 + 
     76*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 45] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 
   -(((1 - 7*T1 + 21*T1^2 - 31*T1^3 + 21*T1^4 - 7*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 14*T1*T2 + 24*T1^2*T2^2 - 14*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 7*T2 + 21*T2^2 - 31*T2^3 + 21*T2^4 - 7*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[10, 46] -> 
  {-((1 - 3*T + 4*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 4*T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 28*T1^2 + 35*T1^3 - 35*T1^4 + 35*T1^5 - 28*T1^6 + 
      21*T1^7 - 7*T1^8 + 21*T2 - 45*T1*T2 + 30*T1^2*T2 - 33*T1^3*T2 + 
      15*T1^4*T2 - 15*T1^5*T2 - 6*T1^6*T2 + 9*T1^7*T2 - 33*T1^8*T2 + 
      18*T1^9*T2 - 28*T2^2 + 30*T1*T2^2 + 31*T1^2*T2^2 - 20*T1^3*T2^2 + 
      54*T1^4*T2^2 - 35*T1^5*T2^2 + 62*T1^6*T2^2 - 36*T1^7*T2^2 + 
      55*T1^8*T2^2 + 6*T1^9*T2^2 - 20*T1^10*T2^2 + 35*T2^3 - 33*T1*T2^3 - 
      20*T1^2*T2^3 - 37*T1^3*T2^3 - 7*T1^4*T2^3 - 32*T1^5*T2^3 - 
      17*T1^6*T2^3 - 19*T1^7*T2^3 - 31*T1^8*T2^3 - 32*T1^9*T2^3 + 
      20*T1^11*T2^3 - 35*T2^4 + 15*T1*T2^4 + 54*T1^2*T2^4 - 7*T1^3*T2^4 + 
      100*T1^4*T2^4 - 60*T1^5*T2^4 + 130*T1^6*T2^4 - 70*T1^7*T2^4 + 
      120*T1^8*T2^4 - 17*T1^9*T2^4 + 44*T1^10*T2^4 - 15*T1^11*T2^4 - 
      15*T1^12*T2^4 + 35*T2^5 - 15*T1*T2^5 - 35*T1^2*T2^5 - 32*T1^3*T2^5 - 
      60*T1^4*T2^5 - 12*T1^5*T2^5 - 52*T1^6*T2^5 - 22*T1^7*T2^5 - 
      42*T1^8*T2^5 - 55*T1^9*T2^5 - 7*T1^10*T2^5 - 20*T1^11*T2^5 + 
      15*T1^12*T2^5 + 10*T1^13*T2^5 - 28*T2^6 - 6*T1*T2^6 + 62*T1^2*T2^6 - 
      17*T1^3*T2^6 + 130*T1^4*T2^6 - 52*T1^5*T2^6 + 119*T1^6*T2^6 - 
      51*T1^7*T2^6 + 111*T1^8*T2^6 - 12*T1^9*T2^6 + 70*T1^10*T2^6 - 
      17*T1^11*T2^6 + 18*T1^12*T2^6 - 18*T1^13*T2^6 - 4*T1^14*T2^6 + 
      21*T2^7 + 9*T1*T2^7 - 36*T1^2*T2^7 - 19*T1^3*T2^7 - 70*T1^4*T2^7 - 
      22*T1^5*T2^7 - 51*T1^6*T2^7 - 46*T1^8*T2^7 - 30*T1^9*T2^7 - 
      32*T1^10*T2^7 - 15*T1^11*T2^7 + T1^12*T2^7 + 12*T1^14*T2^7 - 7*T2^8 - 
      33*T1*T2^8 + 55*T1^2*T2^8 - 31*T1^3*T2^8 + 120*T1^4*T2^8 - 
      42*T1^5*T2^8 + 111*T1^6*T2^8 - 46*T1^7*T2^8 + 48*T1^8*T2^8 + 
      14*T1^9*T2^8 + 29*T1^10*T2^8 + 18*T1^11*T2^8 - 4*T1^12*T2^8 + 
      3*T1^13*T2^8 - 11*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 + 
      6*T1^2*T2^9 - 32*T1^3*T2^9 - 17*T1^4*T2^9 - 55*T1^5*T2^9 - 
      12*T1^6*T2^9 - 30*T1^7*T2^9 + 14*T1^8*T2^9 - 32*T1^9*T2^9 - 
      9*T1^10*T2^9 - 22*T1^11*T2^9 + 3*T1^13*T2^9 + 4*T1^14*T2^9 + 
      9*T1^15*T2^9 - 3*T1^16*T2^9 - 20*T1^2*T2^10 + 44*T1^4*T2^10 - 
      7*T1^5*T2^10 + 70*T1^6*T2^10 - 32*T1^7*T2^10 + 29*T1^8*T2^10 - 
      9*T1^9*T2^10 + 21*T1^10*T2^10 + 8*T1^11*T2^10 + 10*T1^12*T2^10 - 
      7*T1^13*T2^10 - 12*T1^15*T2^10 + 4*T1^16*T2^10 + 20*T1^3*T2^11 - 
      15*T1^4*T2^11 - 20*T1^5*T2^11 - 17*T1^6*T2^11 - 15*T1^7*T2^11 + 
      18*T1^8*T2^11 - 22*T1^9*T2^11 + 8*T1^10*T2^11 - 12*T1^11*T2^11 - 
      10*T1^12*T2^11 + 8*T1^13*T2^11 - 5*T1^14*T2^11 + 15*T1^15*T2^11 - 
      5*T1^16*T2^11 - 15*T1^4*T2^12 + 15*T1^5*T2^12 + 18*T1^6*T2^12 + 
      T1^7*T2^12 - 4*T1^8*T2^12 + 10*T1^10*T2^12 - 10*T1^11*T2^12 + 
      16*T1^12*T2^12 - 9*T1^13*T2^12 + 8*T1^14*T2^12 - 15*T1^15*T2^12 + 
      5*T1^16*T2^12 + 10*T1^5*T2^13 - 18*T1^6*T2^13 + 3*T1^8*T2^13 + 
      3*T1^9*T2^13 - 7*T1^10*T2^13 + 8*T1^11*T2^13 - 9*T1^12*T2^13 + 
      9*T1^13*T2^13 - 12*T1^14*T2^13 + 15*T1^15*T2^13 - 5*T1^16*T2^13 - 
      4*T1^6*T2^14 + 12*T1^7*T2^14 - 11*T1^8*T2^14 + 4*T1^9*T2^14 - 
      5*T1^11*T2^14 + 8*T1^12*T2^14 - 12*T1^13*T2^14 + 13*T1^14*T2^14 - 
      12*T1^15*T2^14 + 4*T1^16*T2^14 - 3*T1^8*T2^15 + 9*T1^9*T2^15 - 
      12*T1^10*T2^15 + 15*T1^11*T2^15 - 15*T1^12*T2^15 + 15*T1^13*T2^15 - 
      12*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 4*T1^10*T2^16 - 5*T1^11*T2^16 + 5*T1^12*T2^16 - 
      5*T1^13*T2^16 + 4*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[10, 47] -> 
  {(1 - 3*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 3*T^7 + T^8)/T^4, 
   (-6 + 18*T1 - 36*T1^2 + 42*T1^3 - 42*T1^4 + 42*T1^5 - 36*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 63*T1^2*T2 - 36*T1^3*T2 + 21*T1^4*T2 - 
     21*T1^5*T2 + 3*T1^6*T2 + 36*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     36*T2^2 + 63*T1*T2^2 - 104*T1^2*T2^2 + 50*T1^3*T2^2 - 73*T1^4*T2^2 + 
     96*T1^5*T2^2 - 61*T1^6*T2^2 + 2*T1^7*T2^2 - 44*T1^8*T2^2 + 
     27*T1^9*T2^2 - 24*T1^10*T2^2 + 42*T2^3 - 36*T1*T2^3 + 50*T1^2*T2^3 + 
     59*T1^3*T2^3 + 22*T1^4*T2^3 - 39*T1^5*T2^3 - 18*T1^6*T2^3 + 
     46*T1^7*T2^3 + 65*T1^8*T2^3 - 4*T1^9*T2^3 + 9*T1^10*T2^3 + 
     21*T1^11*T2^3 - 42*T2^4 + 21*T1*T2^4 - 73*T1^2*T2^4 + 22*T1^3*T2^4 - 
     227*T1^4*T2^4 + 217*T1^5*T2^4 - 147*T1^6*T2^4 + 147*T1^7*T2^4 - 
     227*T1^8*T2^4 + 36*T1^9*T2^4 - 31*T1^10*T2^4 - 21*T1^11*T2^4 - 
     14*T1^12*T2^4 + 42*T2^5 - 21*T1*T2^5 + 96*T1^2*T2^5 - 39*T1^3*T2^5 + 
     217*T1^4*T2^5 - 102*T1^5*T2^5 + 31*T1^6*T2^5 - 53*T1^7*T2^5 + 
     94*T1^8*T2^5 + 98*T1^9*T2^5 - 4*T1^10*T2^5 + 33*T1^11*T2^5 + 
     21*T1^12*T2^5 + 7*T1^13*T2^5 - 36*T2^6 + 3*T1*T2^6 - 61*T1^2*T2^6 - 
     18*T1^3*T2^6 - 147*T1^4*T2^6 + 31*T1^5*T2^6 - 13*T1^6*T2^6 + 
     63*T1^7*T2^6 - 85*T1^8*T2^6 - 53*T1^9*T2^6 - 63*T1^10*T2^6 - 
     18*T1^11*T2^6 - 13*T1^12*T2^6 - 21*T1^13*T2^6 + 18*T2^7 + 36*T1*T2^7 + 
     2*T1^2*T2^7 + 46*T1^3*T2^7 + 147*T1^4*T2^7 - 53*T1^5*T2^7 + 
     63*T1^6*T2^7 - 128*T1^7*T2^7 + 98*T1^8*T2^7 + 34*T1^9*T2^7 + 
     31*T1^10*T2^7 + 70*T1^11*T2^7 - 18*T1^12*T2^7 + 20*T1^13*T2^7 + 
     9*T1^14*T2^7 - 3*T1^15*T2^7 - 6*T2^8 - 27*T1*T2^8 - 44*T1^2*T2^8 + 
     65*T1^3*T2^8 - 227*T1^4*T2^8 + 94*T1^5*T2^8 - 85*T1^6*T2^8 + 
     98*T1^7*T2^8 + 36*T1^8*T2^8 - 134*T1^9*T2^8 + 57*T1^10*T2^8 - 
     102*T1^11*T2^8 + 21*T1^12*T2^8 - T1^13*T2^8 - 14*T1^14*T2^8 + 
     3*T1^15*T2^8 + 2*T1^16*T2^8 + 15*T1*T2^9 + 27*T1^2*T2^9 - 4*T1^3*T2^9 + 
     36*T1^4*T2^9 + 98*T1^5*T2^9 - 53*T1^6*T2^9 + 34*T1^7*T2^9 - 
     134*T1^8*T2^9 + 92*T1^9*T2^9 + 5*T1^10*T2^9 + 31*T1^11*T2^9 + 
     21*T1^12*T2^9 - 28*T1^13*T2^9 + 14*T1^14*T2^9 - 6*T1^16*T2^9 - 
     24*T1^2*T2^10 + 9*T1^3*T2^10 - 31*T1^4*T2^10 - 4*T1^5*T2^10 - 
     63*T1^6*T2^10 + 31*T1^7*T2^10 + 57*T1^8*T2^10 + 5*T1^9*T2^10 - 
     15*T1^10*T2^10 - 53*T1^11*T2^10 + 21*T1^12*T2^10 - 4*T1^13*T2^10 + 
     17*T1^14*T2^10 - 15*T1^15*T2^10 + 12*T1^16*T2^10 + 21*T1^3*T2^11 - 
     21*T1^4*T2^11 + 33*T1^5*T2^11 - 18*T1^6*T2^11 + 70*T1^7*T2^11 - 
     102*T1^8*T2^11 + 31*T1^9*T2^11 - 53*T1^10*T2^11 + 94*T1^11*T2^11 - 
     49*T1^12*T2^11 + 17*T1^13*T2^11 - 30*T1^14*T2^11 + 21*T1^15*T2^11 - 
     14*T1^16*T2^11 - 14*T1^4*T2^12 + 21*T1^5*T2^12 - 13*T1^6*T2^12 - 
     18*T1^7*T2^12 + 21*T1^8*T2^12 + 21*T1^9*T2^12 + 21*T1^10*T2^12 - 
     49*T1^11*T2^12 + 21*T1^12*T2^12 - 4*T1^13*T2^12 + 29*T1^14*T2^12 - 
     21*T1^15*T2^12 + 14*T1^16*T2^12 + 7*T1^5*T2^13 - 21*T1^6*T2^13 + 
     20*T1^7*T2^13 - T1^8*T2^13 - 28*T1^9*T2^13 - 4*T1^10*T2^13 + 
     17*T1^11*T2^13 - 4*T1^12*T2^13 + 5*T1^13*T2^13 - 34*T1^14*T2^13 + 
     24*T1^15*T2^13 - 14*T1^16*T2^13 + 9*T1^7*T2^14 - 14*T1^8*T2^14 + 
     14*T1^9*T2^14 + 17*T1^10*T2^14 - 30*T1^11*T2^14 + 29*T1^12*T2^14 - 
     34*T1^13*T2^14 + 46*T1^14*T2^14 - 27*T1^15*T2^14 + 12*T1^16*T2^14 - 
     3*T1^7*T2^15 + 3*T1^8*T2^15 - 15*T1^10*T2^15 + 21*T1^11*T2^15 - 
     21*T1^12*T2^15 + 24*T1^13*T2^15 - 27*T1^14*T2^15 + 15*T1^15*T2^15 - 
     6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 12*T1^10*T2^16 - 
     14*T1^11*T2^16 + 14*T1^12*T2^16 - 14*T1^13*T2^16 + 12*T1^14*T2^16 - 
     6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 48] -> {((1 - T + 2*T^2 - 2*T^3 + T^4)*(1 - 2*T + 2*T^2 - T^3 + 
      T^4))/T^4, (-4 + 12*T1 - 24*T1^2 + 36*T1^3 - 44*T1^4 + 36*T1^5 - 
     24*T1^6 + 12*T1^7 - 4*T1^8 + 12*T2 - 27*T1*T2 + 45*T1^2*T2 - 
     54*T1^3*T2 + 51*T1^4*T2 - 9*T1^5*T2 - 9*T1^6*T2 + 18*T1^7*T2 - 
     15*T1^8*T2 + 9*T1^9*T2 - 24*T2^2 + 45*T1*T2^2 - 74*T1^2*T2^2 + 
     88*T1^3*T2^2 - 91*T1^4*T2^2 + 26*T1^5*T2^2 - 31*T1^6*T2^2 + 
     16*T1^7*T2^2 - 14*T1^8*T2^2 + 9*T1^9*T2^2 - 12*T1^10*T2^2 + 36*T2^3 - 
     54*T1*T2^3 + 88*T1^2*T2^3 - 97*T1^3*T2^3 + 100*T1^4*T2^3 - 3*T1^5*T2^3 + 
     42*T1^6*T2^3 - 8*T1^7*T2^3 + 11*T1^8*T2^3 - 2*T1^9*T2^3 + 9*T1^10*T2^3 + 
     9*T1^11*T2^3 - 44*T2^4 + 51*T1*T2^4 - 91*T1^2*T2^4 + 100*T1^3*T2^4 - 
     115*T1^4*T2^4 - 83*T1^6*T2^4 + 6*T1^7*T2^4 + T1^8*T2^4 - 26*T1^9*T2^4 + 
     11*T1^10*T2^4 - 27*T1^11*T2^4 + 36*T2^5 - 9*T1*T2^5 + 26*T1^2*T2^5 - 
     3*T1^3*T2^5 + 110*T1^5*T2^5 + 44*T1^6*T2^5 + 44*T1^7*T2^5 - 
     16*T1^8*T2^5 + 9*T1^9*T2^5 + 24*T1^10*T2^5 - T1^11*T2^5 + 
     27*T1^12*T2^5 - 9*T1^13*T2^5 - 24*T2^6 - 9*T1*T2^6 - 31*T1^2*T2^6 + 
     42*T1^3*T2^6 - 83*T1^4*T2^6 + 44*T1^5*T2^6 - 212*T1^6*T2^6 + 
     38*T1^7*T2^6 - 20*T1^8*T2^6 + 8*T1^9*T2^6 + T1^10*T2^6 - 30*T1^11*T2^6 - 
     7*T1^12*T2^6 - 9*T1^13*T2^6 + 12*T1^14*T2^6 + 12*T2^7 + 18*T1*T2^7 + 
     16*T1^2*T2^7 - 8*T1^3*T2^7 + 6*T1^4*T2^7 + 44*T1^5*T2^7 + 38*T1^6*T2^7 + 
     158*T1^7*T2^7 - 118*T1^8*T2^7 + 29*T1^9*T2^7 - 28*T1^10*T2^7 + 
     9*T1^11*T2^7 + 28*T1^12*T2^7 - 2*T1^13*T2^7 - 9*T1^14*T2^7 - 
     9*T1^15*T2^7 - 4*T2^8 - 15*T1*T2^8 - 14*T1^2*T2^8 + 11*T1^3*T2^8 + 
     T1^4*T2^8 - 16*T1^5*T2^8 - 20*T1^6*T2^8 - 118*T1^7*T2^8 + 48*T1^8*T2^8 + 
     74*T1^9*T2^8 + 10*T1^10*T2^8 + 20*T1^11*T2^8 - 19*T1^12*T2^8 - 
     7*T1^13*T2^8 + 16*T1^14*T2^8 + 15*T1^15*T2^8 + 4*T1^16*T2^8 + 
     9*T1*T2^9 + 9*T1^2*T2^9 - 2*T1^3*T2^9 - 26*T1^4*T2^9 + 9*T1^5*T2^9 + 
     8*T1^6*T2^9 + 29*T1^7*T2^9 + 74*T1^8*T2^9 - 202*T1^9*T2^9 + 
     20*T1^10*T2^9 - 64*T1^11*T2^9 + 12*T1^12*T2^9 + 10*T1^13*T2^9 - 
     20*T1^14*T2^9 - 18*T1^15*T2^9 - 12*T1^16*T2^9 - 12*T1^2*T2^10 + 
     9*T1^3*T2^10 + 11*T1^4*T2^10 + 24*T1^5*T2^10 + T1^6*T2^10 - 
     28*T1^7*T2^10 + 10*T1^8*T2^10 + 20*T1^9*T2^10 + 202*T1^10*T2^10 - 
     64*T1^11*T2^10 + 85*T1^12*T2^10 - 48*T1^13*T2^10 + 35*T1^14*T2^10 + 
     9*T1^15*T2^10 + 24*T1^16*T2^10 + 9*T1^3*T2^11 - 27*T1^4*T2^11 - 
     T1^5*T2^11 - 30*T1^6*T2^11 + 9*T1^7*T2^11 + 20*T1^8*T2^11 - 
     64*T1^9*T2^11 - 64*T1^10*T2^11 - 106*T1^11*T2^11 + 18*T1^12*T2^11 - 
     3*T1^13*T2^11 - 28*T1^14*T2^11 + 9*T1^15*T2^11 - 36*T1^16*T2^11 + 
     27*T1^5*T2^12 - 7*T1^6*T2^12 + 28*T1^7*T2^12 - 19*T1^8*T2^12 + 
     12*T1^9*T2^12 + 85*T1^10*T2^12 + 18*T1^11*T2^12 + 97*T1^12*T2^12 - 
     98*T1^13*T2^12 + 95*T1^14*T2^12 - 51*T1^15*T2^12 + 44*T1^16*T2^12 - 
     9*T1^5*T2^13 - 9*T1^6*T2^13 - 2*T1^7*T2^13 - 7*T1^8*T2^13 + 
     10*T1^9*T2^13 - 48*T1^10*T2^13 - 3*T1^11*T2^13 - 98*T1^12*T2^13 + 
     101*T1^13*T2^13 - 92*T1^14*T2^13 + 54*T1^15*T2^13 - 36*T1^16*T2^13 + 
     12*T1^6*T2^14 - 9*T1^7*T2^14 + 16*T1^8*T2^14 - 20*T1^9*T2^14 + 
     35*T1^10*T2^14 - 28*T1^11*T2^14 + 95*T1^12*T2^14 - 92*T1^13*T2^14 + 
     76*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 9*T1^7*T2^15 + 
     15*T1^8*T2^15 - 18*T1^9*T2^15 + 9*T1^10*T2^15 + 9*T1^11*T2^15 - 
     51*T1^12*T2^15 + 54*T1^13*T2^15 - 45*T1^14*T2^15 + 27*T1^15*T2^15 - 
     12*T1^16*T2^15 + 4*T1^8*T2^16 - 12*T1^9*T2^16 + 24*T1^10*T2^16 - 
     36*T1^11*T2^16 + 44*T1^12*T2^16 - 36*T1^13*T2^16 + 24*T1^14*T2^16 - 
     12*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 49] -> {(3 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 3*T^6)/T^3, 
   (3 - 4*T1 + 4*T1^2 - 3*T1^3 + 4*T1^4 - 4*T1^5 + 3*T1^6 - 4*T2 - 72*T1*T2 + 
     193*T1^2*T2 - 290*T1^3*T2 + 310*T1^4*T2 - 287*T1^5*T2 + 192*T1^6*T2 - 
     76*T1^7*T2 + 4*T2^2 + 193*T1*T2^2 - 326*T1^2*T2^2 + 270*T1^3*T2^2 - 
     68*T1^4*T2^2 - 90*T1^5*T2^2 + 322*T1^6*T2^2 - 383*T1^7*T2^2 + 
     220*T1^8*T2^2 - 3*T2^3 - 290*T1*T2^3 + 270*T1^2*T2^3 - 93*T1^3*T2^3 - 
     51*T1^4*T2^3 + 9*T1^5*T2^3 - 141*T1^6*T2^3 - 78*T1^7*T2^3 + 
     358*T1^8*T2^3 - 354*T1^9*T2^3 + 4*T2^4 + 310*T1*T2^4 - 68*T1^2*T2^4 - 
     51*T1^3*T2^4 + 88*T1^4*T2^4 - 62*T1^5*T2^4 + 344*T1^6*T2^4 - 
     51*T1^7*T2^4 - 4*T1^8*T2^4 - 218*T1^9*T2^4 + 436*T1^10*T2^4 - 4*T2^5 - 
     287*T1*T2^5 - 90*T1^2*T2^5 + 9*T1^3*T2^5 - 62*T1^4*T2^5 + 
     128*T1^5*T2^5 - 412*T1^6*T2^5 - 14*T1^7*T2^5 - 171*T1^8*T2^5 + 
     306*T1^9*T2^5 - 191*T1^10*T2^5 - 364*T1^11*T2^5 + 3*T2^6 + 192*T1*T2^6 + 
     322*T1^2*T2^6 - 141*T1^3*T2^6 + 344*T1^4*T2^6 - 412*T1^5*T2^6 + 
     540*T1^6*T2^6 + 20*T1^7*T2^6 + 256*T1^8*T2^6 - 75*T1^9*T2^6 - 
     214*T1^10*T2^6 + 528*T1^11*T2^6 + 165*T1^12*T2^6 - 76*T1*T2^7 - 
     383*T1^2*T2^7 - 78*T1^3*T2^7 - 51*T1^4*T2^7 - 14*T1^5*T2^7 + 
     20*T1^6*T2^7 - 520*T1^7*T2^7 + 34*T1^8*T2^7 - 231*T1^9*T2^7 + 
     318*T1^10*T2^7 - 287*T1^11*T2^7 - 436*T1^12*T2^7 + 220*T1^2*T2^8 + 
     358*T1^3*T2^8 - 4*T1^4*T2^8 - 171*T1^5*T2^8 + 256*T1^6*T2^8 + 
     34*T1^7*T2^8 + 512*T1^8*T2^8 - 171*T1^9*T2^8 + 60*T1^10*T2^8 - 
     170*T1^11*T2^8 + 652*T1^12*T2^8 - 354*T1^3*T2^9 - 218*T1^4*T2^9 + 
     306*T1^5*T2^9 - 75*T1^6*T2^9 - 231*T1^7*T2^9 - 171*T1^8*T2^9 - 
     123*T1^9*T2^9 - 42*T1^10*T2^9 + 430*T1^11*T2^9 - 705*T1^12*T2^9 + 
     436*T1^4*T2^10 - 191*T1^5*T2^10 - 214*T1^6*T2^10 + 318*T1^7*T2^10 + 
     60*T1^8*T2^10 - 42*T1^9*T2^10 + 434*T1^10*T2^10 - 767*T1^11*T2^10 + 
     652*T1^12*T2^10 - 364*T1^5*T2^11 + 528*T1^6*T2^11 - 287*T1^7*T2^11 - 
     170*T1^8*T2^11 + 430*T1^9*T2^11 - 767*T1^10*T2^11 + 792*T1^11*T2^11 - 
     436*T1^12*T2^11 + 165*T1^6*T2^12 - 436*T1^7*T2^12 + 652*T1^8*T2^12 - 
     705*T1^9*T2^12 + 652*T1^10*T2^12 - 436*T1^11*T2^12 + 165*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 50] -> 
  {-((2 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((-41 + 143*T1 - 224*T1^2 + 265*T1^3 - 224*T1^4 + 143*T1^5 - 41*T1^6 + 
      143*T2 - 384*T1*T2 + 381*T1^2*T2 - 297*T1^3*T2 + 39*T1^4*T2 + 
      129*T1^5*T2 - 258*T1^6*T2 + 115*T1^7*T2 - 224*T2^2 + 381*T1*T2^2 + 
      45*T1^2*T2^2 - 300*T1^3*T2^2 + 661*T1^4*T2^2 - 564*T1^5*T2^2 + 
      441*T1^6*T2^2 + 73*T1^7*T2^2 - 136*T1^8*T2^2 + 265*T2^3 - 297*T1*T2^3 - 
      300*T1^2*T2^3 + 265*T1^3*T2^3 - 428*T1^4*T2^3 + 16*T1^5*T2^3 + 
      49*T1^6*T2^3 - 465*T1^7*T2^3 + 95*T1^8*T2^3 + 109*T1^9*T2^3 - 
      224*T2^4 + 39*T1*T2^4 + 661*T1^2*T2^4 - 428*T1^3*T2^4 + 583*T1^4*T2^4 - 
      147*T1^5*T2^4 + 283*T1^6*T2^4 + 66*T1^7*T2^4 + 355*T1^8*T2^4 - 
      213*T1^9*T2^4 - 48*T1^10*T2^4 + 143*T2^5 + 129*T1*T2^5 - 
      564*T1^2*T2^5 + 16*T1^3*T2^5 - 147*T1^4*T2^5 - 120*T1^5*T2^5 - 
      216*T1^6*T2^5 - 26*T1^7*T2^5 - 328*T1^8*T2^5 - 3*T1^9*T2^5 + 
      157*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 258*T1*T2^6 + 441*T1^2*T2^6 + 
      49*T1^3*T2^6 + 283*T1^4*T2^6 - 216*T1^5*T2^6 + 420*T1^6*T2^6 - 
      72*T1^7*T2^6 + 177*T1^8*T2^6 + 199*T1^9*T2^6 - 183*T1^10*T2^6 - 
      34*T1^11*T2^6 + 7*T1^12*T2^6 + 115*T1*T2^7 + 73*T1^2*T2^7 - 
      465*T1^3*T2^7 + 66*T1^4*T2^7 - 26*T1^5*T2^7 - 72*T1^6*T2^7 - 
      168*T1^7*T2^7 + 95*T1^8*T2^7 - 278*T1^9*T2^7 + 96*T1^10*T2^7 + 
      101*T1^11*T2^7 - 25*T1^12*T2^7 - 136*T1^2*T2^8 + 95*T1^3*T2^8 + 
      355*T1^4*T2^8 - 328*T1^5*T2^8 + 177*T1^6*T2^8 + 95*T1^7*T2^8 - 
      123*T1^8*T2^8 + 166*T1^9*T2^8 + 49*T1^10*T2^8 - 157*T1^11*T2^8 + 
      40*T1^12*T2^8 + 109*T1^3*T2^9 - 213*T1^4*T2^9 - 3*T1^5*T2^9 + 
      199*T1^6*T2^9 - 278*T1^7*T2^9 + 166*T1^8*T2^9 - 17*T1^9*T2^9 - 
      168*T1^10*T2^9 + 179*T1^11*T2^9 - 47*T1^12*T2^9 - 48*T1^4*T2^10 + 
      157*T1^5*T2^10 - 183*T1^6*T2^10 + 96*T1^7*T2^10 + 49*T1^8*T2^10 - 
      168*T1^9*T2^10 + 213*T1^10*T2^10 - 151*T1^11*T2^10 + 40*T1^12*T2^10 + 
      3*T1^5*T2^11 - 34*T1^6*T2^11 + 101*T1^7*T2^11 - 157*T1^8*T2^11 + 
      179*T1^9*T2^11 - 151*T1^10*T2^11 + 92*T1^11*T2^11 - 25*T1^12*T2^11 + 
      7*T1^6*T2^12 - 25*T1^7*T2^12 + 40*T1^8*T2^12 - 47*T1^9*T2^12 + 
      40*T1^10*T2^12 - 25*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 51] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-33 + 115*T1 - 246*T1^2 + 311*T1^3 - 246*T1^4 + 115*T1^5 - 33*T1^6 + 
     115*T2 - 314*T1*T2 + 555*T1^2*T2 - 437*T1^3*T2 + 39*T1^4*T2 + 
     247*T1^5*T2 - 188*T1^6*T2 + 87*T1^7*T2 - 246*T2^2 + 555*T1*T2^2 - 
     898*T1^2*T2^2 + 469*T1^3*T2^2 + 136*T1^4*T2^2 - 251*T1^5*T2^2 - 
     118*T1^6*T2^2 + 135*T1^7*T2^2 - 126*T1^8*T2^2 + 311*T2^3 - 437*T1*T2^3 + 
     469*T1^2*T2^3 + 527*T1^3*T2^3 - 874*T1^4*T2^3 + 188*T1^5*T2^3 + 
     611*T1^6*T2^3 - 296*T1^7*T2^3 + 151*T1^8*T2^3 + 83*T1^9*T2^3 - 
     246*T2^4 + 39*T1*T2^4 + 136*T1^2*T2^4 - 874*T1^3*T2^4 - 78*T1^4*T2^4 + 
     1544*T1^5*T2^4 - 1710*T1^6*T2^4 + 304*T1^7*T2^4 + 74*T1^8*T2^4 - 
     269*T1^9*T2^4 - 6*T1^10*T2^4 + 115*T2^5 + 247*T1*T2^5 - 251*T1^2*T2^5 + 
     188*T1^3*T2^5 + 1544*T1^4*T2^5 - 2354*T1^5*T2^5 + 1036*T1^6*T2^5 + 
     839*T1^7*T2^5 - 642*T1^8*T2^5 + 334*T1^9*T2^5 + 107*T1^10*T2^5 - 
     25*T1^11*T2^5 - 33*T2^6 - 188*T1*T2^6 - 118*T1^2*T2^6 + 611*T1^3*T2^6 - 
     1710*T1^4*T2^6 + 1036*T1^5*T2^6 + 1032*T1^6*T2^6 - 1984*T1^7*T2^6 + 
     776*T1^8*T2^6 - 55*T1^9*T2^6 - 230*T1^10*T2^6 + 36*T1^11*T2^6 + 
     15*T1^12*T2^6 + 87*T1*T2^7 + 135*T1^2*T2^7 - 296*T1^3*T2^7 + 
     304*T1^4*T2^7 + 839*T1^5*T2^7 - 1984*T1^6*T2^7 + 1406*T1^7*T2^7 + 
     134*T1^8*T2^7 - 526*T1^9*T2^7 + 289*T1^10*T2^7 - 5*T1^11*T2^7 - 
     53*T1^12*T2^7 - 126*T1^2*T2^8 + 151*T1^3*T2^8 + 74*T1^4*T2^8 - 
     642*T1^5*T2^8 + 776*T1^6*T2^8 + 134*T1^7*T2^8 - 856*T1^8*T2^8 + 
     536*T1^9*T2^8 + 12*T1^10*T2^8 - 157*T1^11*T2^8 + 114*T1^12*T2^8 + 
     83*T1^3*T2^9 - 269*T1^4*T2^9 + 334*T1^5*T2^9 - 55*T1^6*T2^9 - 
     526*T1^7*T2^9 + 536*T1^8*T2^9 + 29*T1^9*T2^9 - 431*T1^10*T2^9 + 
     319*T1^11*T2^9 - 145*T1^12*T2^9 - 6*T1^4*T2^10 + 107*T1^5*T2^10 - 
     230*T1^6*T2^10 + 289*T1^7*T2^10 + 12*T1^8*T2^10 - 431*T1^9*T2^10 + 
     550*T1^10*T2^10 - 313*T1^11*T2^10 + 114*T1^12*T2^10 - 25*T1^5*T2^11 + 
     36*T1^6*T2^11 - 5*T1^7*T2^11 - 157*T1^8*T2^11 + 319*T1^9*T2^11 - 
     313*T1^10*T2^11 + 162*T1^11*T2^11 - 53*T1^12*T2^11 + 15*T1^6*T2^12 - 
     53*T1^7*T2^12 + 114*T1^8*T2^12 - 145*T1^9*T2^12 + 114*T1^10*T2^12 - 
     53*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 52] -> {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-31 + 109*T1 - 202*T1^2 + 233*T1^3 - 202*T1^4 + 109*T1^5 - 31*T1^6 + 
     109*T2 - 302*T1*T2 + 425*T1^2*T2 - 291*T1^3*T2 + 101*T1^4*T2 + 
     145*T1^5*T2 - 176*T1^6*T2 + 81*T1^7*T2 - 202*T2^2 + 425*T1*T2^2 - 
     398*T1^2*T2^2 - 35*T1^3*T2^2 + 250*T1^4*T2^2 - 451*T1^5*T2^2 + 
     174*T1^6*T2^2 + 61*T1^7*T2^2 - 98*T1^8*T2^2 + 233*T2^3 - 291*T1*T2^3 - 
     35*T1^2*T2^3 + 605*T1^3*T2^3 - 448*T1^4*T2^3 + 300*T1^5*T2^3 + 
     315*T1^6*T2^3 - 386*T1^7*T2^3 + 157*T1^8*T2^3 + 53*T1^9*T2^3 - 
     202*T2^4 + 101*T1*T2^4 + 250*T1^2*T2^4 - 448*T1^3*T2^4 - 261*T1^4*T2^4 + 
     507*T1^5*T2^4 - 797*T1^6*T2^4 + 302*T1^7*T2^4 + 132*T1^8*T2^4 - 
     207*T1^9*T2^4 + 6*T1^10*T2^4 + 109*T2^5 + 145*T1*T2^5 - 451*T1^2*T2^5 + 
     300*T1^3*T2^5 + 507*T1^4*T2^5 - 430*T1^5*T2^5 + 200*T1^6*T2^5 + 
     338*T1^7*T2^5 - 444*T1^8*T2^5 + 160*T1^9*T2^5 + 89*T1^10*T2^5 - 
     31*T1^11*T2^5 - 31*T2^6 - 176*T1*T2^6 + 174*T1^2*T2^6 + 315*T1^3*T2^6 - 
     797*T1^4*T2^6 + 200*T1^5*T2^6 + 360*T1^6*T2^6 - 516*T1^7*T2^6 + 
     293*T1^8*T2^6 + 137*T1^9*T2^6 - 210*T1^10*T2^6 + 48*T1^11*T2^6 + 
     17*T1^12*T2^6 + 81*T1*T2^7 + 61*T1^2*T2^7 - 386*T1^3*T2^7 + 
     302*T1^4*T2^7 + 338*T1^5*T2^7 - 516*T1^6*T2^7 + 114*T1^7*T2^7 + 
     169*T1^8*T2^7 - 442*T1^9*T2^7 + 225*T1^10*T2^7 + 5*T1^11*T2^7 - 
     59*T1^12*T2^7 - 98*T1^2*T2^8 + 157*T1^3*T2^8 + 132*T1^4*T2^8 - 
     444*T1^5*T2^8 + 293*T1^6*T2^8 + 169*T1^7*T2^8 - 243*T1^8*T2^8 + 
     306*T1^9*T2^8 + 14*T1^10*T2^8 - 151*T1^11*T2^8 + 110*T1^12*T2^8 + 
     53*T1^3*T2^9 - 207*T1^4*T2^9 + 160*T1^5*T2^9 + 137*T1^6*T2^9 - 
     442*T1^7*T2^9 + 306*T1^8*T2^9 - 153*T1^9*T2^9 - 191*T1^10*T2^9 + 
     241*T1^11*T2^9 - 127*T1^12*T2^9 + 6*T1^4*T2^10 + 89*T1^5*T2^10 - 
     210*T1^6*T2^10 + 225*T1^7*T2^10 + 14*T1^8*T2^10 - 191*T1^9*T2^10 + 
     362*T1^10*T2^10 - 275*T1^11*T2^10 + 110*T1^12*T2^10 - 31*T1^5*T2^11 + 
     48*T1^6*T2^11 + 5*T1^7*T2^11 - 151*T1^8*T2^11 + 241*T1^9*T2^11 - 
     275*T1^10*T2^11 + 174*T1^11*T2^11 - 59*T1^12*T2^11 + 17*T1^6*T2^12 - 
     59*T1^7*T2^12 + 110*T1^8*T2^12 - 127*T1^9*T2^12 + 110*T1^10*T2^12 - 
     59*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 53] -> {(6 - 18*T + 25*T^2 - 18*T^3 + 6*T^4)/T^2, 
   (51 - 120*T1 + 159*T1^2 - 120*T1^3 + 51*T1^4 - 120*T2 - 482*T1*T2 + 
     1848*T1^2*T2 - 2796*T1^3*T2 + 2110*T1^4*T2 - 768*T1^5*T2 + 159*T2^2 + 
     1848*T1*T2^2 - 4165*T1^2*T2^2 + 3057*T1^3*T2^2 + 1535*T1^4*T2^2 - 
     3552*T1^5*T2^2 + 1959*T1^6*T2^2 - 120*T2^3 - 2796*T1*T2^3 + 
     3057*T1^2*T2^3 + 2714*T1^3*T2^3 - 8860*T1^4*T2^3 + 5757*T1^5*T2^3 + 
     336*T1^6*T2^3 - 2064*T1^7*T2^3 + 51*T2^4 + 2110*T1*T2^4 + 
     1535*T1^2*T2^4 - 8860*T1^3*T2^4 + 9528*T1^4*T2^4 + 860*T1^5*T2^4 - 
     6529*T1^6*T2^4 + 3406*T1^7*T2^4 + 915*T1^8*T2^4 - 768*T1*T2^5 - 
     3552*T1^2*T2^5 + 5757*T1^3*T2^5 + 860*T1^4*T2^5 - 10714*T1^5*T2^5 + 
     8457*T1^6*T2^5 - 420*T1^7*T2^5 - 2712*T1^8*T2^5 + 1959*T1^2*T2^6 + 
     336*T1^3*T2^6 - 6529*T1^4*T2^6 + 8457*T1^5*T2^6 - 829*T1^6*T2^6 - 
     5064*T1^7*T2^6 + 3759*T1^8*T2^6 - 2064*T1^3*T2^7 + 3406*T1^4*T2^7 - 
     420*T1^5*T2^7 - 5064*T1^6*T2^7 + 5998*T1^7*T2^7 - 2712*T1^8*T2^7 + 
     915*T1^4*T2^8 - 2712*T1^5*T2^8 + 3759*T1^6*T2^8 - 2712*T1^7*T2^8 + 
     915*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 54] -> {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-31 + 93*T1 - 154*T1^2 + 169*T1^3 - 154*T1^4 + 93*T1^5 - 31*T1^6 + 
     93*T2 - 210*T1*T2 + 255*T1^2*T2 - 165*T1^3*T2 + 87*T1^4*T2 + 
     63*T1^5*T2 - 114*T1^6*T2 + 69*T1^7*T2 - 154*T2^2 + 255*T1*T2^2 - 
     207*T1^2*T2^2 + 3*T1^3*T2^2 + 43*T1^4*T2^2 - 197*T1^5*T2^2 + 
     113*T1^6*T2^2 + 15*T1^7*T2^2 - 74*T1^8*T2^2 + 169*T2^3 - 165*T1*T2^3 + 
     3*T1^2*T2^3 + 204*T1^3*T2^3 - 78*T1^4*T2^3 + 126*T1^5*T2^3 + 
     102*T1^6*T2^3 - 177*T1^7*T2^3 + 111*T1^8*T2^3 + 37*T1^9*T2^3 - 
     154*T2^4 + 87*T1*T2^4 + 43*T1^2*T2^4 - 78*T1^3*T2^4 - 199*T1^4*T2^4 + 
     125*T1^5*T2^4 - 219*T1^6*T2^4 + 98*T1^7*T2^4 + 51*T1^8*T2^4 - 
     129*T1^9*T2^4 + 6*T1^10*T2^4 + 93*T2^5 + 63*T1*T2^5 - 197*T1^2*T2^5 + 
     126*T1^3*T2^5 + 125*T1^4*T2^5 + 38*T1^5*T2^5 - 52*T1^6*T2^5 + 
     105*T1^7*T2^5 - 134*T1^8*T2^5 + 63*T1^9*T2^5 + 63*T1^10*T2^5 - 
     27*T1^11*T2^5 - 31*T2^6 - 114*T1*T2^6 + 113*T1^2*T2^6 + 102*T1^3*T2^6 - 
     219*T1^4*T2^6 - 52*T1^5*T2^6 + 120*T1^6*T2^6 - 44*T1^7*T2^6 + 
     37*T1^8*T2^6 + 78*T1^9*T2^6 - 111*T1^10*T2^6 + 30*T1^11*T2^6 + 
     17*T1^12*T2^6 + 69*T1*T2^7 + 15*T1^2*T2^7 - 177*T1^3*T2^7 + 
     98*T1^4*T2^7 + 105*T1^5*T2^7 - 44*T1^6*T2^7 - 134*T1^7*T2^7 + 
     85*T1^8*T2^7 - 162*T1^9*T2^7 + 83*T1^10*T2^7 + 15*T1^11*T2^7 - 
     51*T1^12*T2^7 - 74*T1^2*T2^8 + 111*T1^3*T2^8 + 51*T1^4*T2^8 - 
     134*T1^5*T2^8 + 37*T1^6*T2^8 + 85*T1^7*T2^8 + 17*T1^8*T2^8 + 
     42*T1^9*T2^8 + 59*T1^10*T2^8 - 105*T1^11*T2^8 + 86*T1^12*T2^8 + 
     37*T1^3*T2^9 - 129*T1^4*T2^9 + 63*T1^5*T2^9 + 78*T1^6*T2^9 - 
     162*T1^7*T2^9 + 42*T1^8*T2^9 - 24*T1^9*T2^9 - 117*T1^10*T2^9 + 
     147*T1^11*T2^9 - 95*T1^12*T2^9 + 6*T1^4*T2^10 + 63*T1^5*T2^10 - 
     111*T1^6*T2^10 + 83*T1^7*T2^10 + 59*T1^8*T2^10 - 117*T1^9*T2^10 + 
     209*T1^10*T2^10 - 177*T1^11*T2^10 + 86*T1^12*T2^10 - 27*T1^5*T2^11 + 
     30*T1^6*T2^11 + 15*T1^7*T2^11 - 105*T1^8*T2^11 + 147*T1^9*T2^11 - 
     177*T1^10*T2^11 + 126*T1^11*T2^11 - 51*T1^12*T2^11 + 17*T1^6*T2^12 - 
     51*T1^7*T2^12 + 86*T1^8*T2^12 - 95*T1^9*T2^12 + 86*T1^10*T2^12 - 
     51*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 55] -> {(5 - 15*T + 21*T^2 - 15*T^3 + 5*T^4)/T^2, 
   (40 - 100*T1 + 136*T1^2 - 100*T1^3 + 40*T1^4 - 100*T2 - 221*T1*T2 + 
     1032*T1^2*T2 - 1668*T1^3*T2 + 1279*T1^4*T2 - 475*T1^5*T2 + 136*T2^2 + 
     1032*T1*T2^2 - 2433*T1^2*T2^2 + 1881*T1^3*T2^2 + 927*T1^4*T2^2 - 
     2118*T1^5*T2^2 + 1186*T1^6*T2^2 - 100*T2^3 - 1668*T1*T2^3 + 
     1881*T1^2*T2^3 + 1468*T1^3*T2^3 - 5372*T1^4*T2^3 + 3456*T1^5*T2^3 + 
     132*T1^6*T2^3 - 1225*T1^7*T2^3 + 40*T2^4 + 1279*T1*T2^4 + 
     927*T1^2*T2^4 - 5372*T1^3*T2^4 + 6120*T1^4*T2^4 + 328*T1^5*T2^4 - 
     3723*T1^6*T2^4 + 2029*T1^7*T2^4 + 540*T1^8*T2^4 - 475*T1*T2^5 - 
     2118*T1^2*T2^5 + 3456*T1^3*T2^5 + 328*T1^4*T2^5 - 6512*T1^5*T2^5 + 
     5031*T1^6*T2^5 - 318*T1^7*T2^5 - 1600*T1^8*T2^5 + 1186*T1^2*T2^6 + 
     132*T1^3*T2^6 - 3723*T1^4*T2^6 + 5031*T1^5*T2^6 - 363*T1^6*T2^6 - 
     3018*T1^7*T2^6 + 2236*T1^8*T2^6 - 1225*T1^3*T2^7 + 2029*T1^4*T2^7 - 
     318*T1^5*T2^7 - 3018*T1^6*T2^7 + 3529*T1^7*T2^7 - 1600*T1^8*T2^7 + 
     540*T1^4*T2^8 - 1600*T1^5*T2^8 + 2236*T1^6*T2^8 - 1600*T1^7*T2^8 + 
     540*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 56] -> {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/
     T^3), -((-41 + 163*T1 - 284*T1^2 + 345*T1^3 - 284*T1^4 + 163*T1^5 - 
      41*T1^6 + 163*T2 - 518*T1*T2 + 611*T1^2*T2 - 467*T1^3*T2 + 29*T1^4*T2 + 
      259*T1^5*T2 - 358*T1^6*T2 + 131*T1^7*T2 - 284*T2^2 + 611*T1*T2^2 - 
      70*T1^2*T2^2 - 558*T1^3*T2^2 + 1256*T1^4*T2^2 - 1062*T1^5*T2^2 + 
      602*T1^6*T2^2 + 163*T1^7*T2^2 - 172*T1^8*T2^2 + 345*T2^3 - 
      467*T1*T2^3 - 558*T1^2*T2^3 + 910*T1^3*T2^3 - 1116*T1^4*T2^3 + 
      112*T1^5*T2^3 + 384*T1^6*T2^3 - 866*T1^7*T2^3 + 125*T1^8*T2^3 + 
      141*T1^9*T2^3 - 284*T2^4 + 29*T1*T2^4 + 1256*T1^2*T2^4 - 
      1116*T1^3*T2^4 + 947*T1^4*T2^4 + 253*T1^5*T2^4 - 157*T1^6*T2^4 + 
      244*T1^7*T2^4 + 648*T1^8*T2^4 - 323*T1^9*T2^4 - 60*T1^10*T2^4 + 
      163*T2^5 + 259*T1*T2^5 - 1062*T1^2*T2^5 + 112*T1^3*T2^5 + 
      253*T1^4*T2^5 - 882*T1^5*T2^5 - 96*T1^6*T2^5 + 281*T1^7*T2^5 - 
      852*T1^8*T2^5 + 30*T1^9*T2^5 + 227*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 358*T1*T2^6 + 602*T1^2*T2^6 + 384*T1^3*T2^6 - 157*T1^4*T2^6 - 
      96*T1^5*T2^6 + 1116*T1^6*T2^6 - 744*T1^7*T2^6 + 531*T1^8*T2^6 + 
      424*T1^9*T2^6 - 326*T1^10*T2^6 - 38*T1^11*T2^6 + 7*T1^12*T2^6 + 
      131*T1*T2^7 + 163*T1^2*T2^7 - 866*T1^3*T2^7 + 244*T1^4*T2^7 + 
      281*T1^5*T2^7 - 744*T1^6*T2^7 + 42*T1^7*T2^7 + 309*T1^8*T2^7 - 
      720*T1^9*T2^7 + 226*T1^10*T2^7 + 131*T1^11*T2^7 - 29*T1^12*T2^7 - 
      172*T1^2*T2^8 + 125*T1^3*T2^8 + 648*T1^4*T2^8 - 852*T1^5*T2^8 + 
      531*T1^6*T2^8 + 309*T1^7*T2^8 - 573*T1^8*T2^8 + 508*T1^9*T2^8 + 
      40*T1^10*T2^8 - 227*T1^11*T2^8 + 52*T1^12*T2^8 + 141*T1^3*T2^9 - 
      323*T1^4*T2^9 + 30*T1^5*T2^9 + 424*T1^6*T2^9 - 720*T1^7*T2^9 + 
      508*T1^8*T2^9 - 102*T1^9*T2^9 - 278*T1^10*T2^9 + 269*T1^11*T2^9 - 
      63*T1^12*T2^9 - 60*T1^4*T2^10 + 227*T1^5*T2^10 - 326*T1^6*T2^10 + 
      226*T1^7*T2^10 + 40*T1^8*T2^10 - 278*T1^9*T2^10 + 346*T1^10*T2^10 - 
      221*T1^11*T2^10 + 52*T1^12*T2^10 + 3*T1^5*T2^11 - 38*T1^6*T2^11 + 
      131*T1^7*T2^11 - 227*T1^8*T2^11 + 269*T1^9*T2^11 - 221*T1^10*T2^11 + 
      122*T1^11*T2^11 - 29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 
      52*T1^8*T2^12 - 63*T1^9*T2^12 + 52*T1^10*T2^12 - 29*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 57] -> {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-33 + 131*T1 - 294*T1^2 + 375*T1^3 - 294*T1^4 + 131*T1^5 - 33*T1^6 + 
     131*T2 - 422*T1*T2 + 777*T1^2*T2 - 611*T1^3*T2 + 45*T1^4*T2 + 
     361*T1^5*T2 - 262*T1^6*T2 + 99*T1^7*T2 - 294*T2^2 + 777*T1*T2^2 - 
     1212*T1^2*T2^2 + 426*T1^3*T2^2 + 540*T1^4*T2^2 - 654*T1^5*T2^2 - 
     60*T1^6*T2^2 + 201*T1^7*T2^2 - 150*T1^8*T2^2 + 375*T2^3 - 611*T1*T2^3 + 
     426*T1^2*T2^3 + 1370*T1^3*T2^3 - 1830*T1^4*T2^3 + 486*T1^5*T2^3 + 
     1076*T1^6*T2^3 - 618*T1^7*T2^3 + 205*T1^8*T2^3 + 99*T1^9*T2^3 - 
     294*T2^4 + 45*T1*T2^4 + 540*T1^2*T2^4 - 1830*T1^3*T2^4 - 109*T1^4*T2^4 + 
     2871*T1^5*T2^4 - 3325*T1^6*T2^4 + 746*T1^7*T2^4 + 188*T1^8*T2^4 - 
     371*T1^9*T2^4 - 6*T1^10*T2^4 + 131*T2^5 + 361*T1*T2^5 - 654*T1^2*T2^5 + 
     486*T1^3*T2^5 + 2871*T1^4*T2^5 - 4414*T1^5*T2^5 + 2128*T1^6*T2^5 + 
     1467*T1^7*T2^5 - 1310*T1^8*T2^5 + 534*T1^9*T2^5 + 137*T1^10*T2^5 - 
     29*T1^11*T2^5 - 33*T2^6 - 262*T1*T2^6 - 60*T1^2*T2^6 + 1076*T1^3*T2^6 - 
     3325*T1^4*T2^6 + 2128*T1^5*T2^6 + 1656*T1^6*T2^6 - 3688*T1^7*T2^6 + 
     1587*T1^8*T2^6 - 52*T1^9*T2^6 - 380*T1^10*T2^6 + 58*T1^11*T2^6 + 
     15*T1^12*T2^6 + 99*T1*T2^7 + 201*T1^2*T2^7 - 618*T1^3*T2^7 + 
     746*T1^4*T2^7 + 1467*T1^5*T2^7 - 3688*T1^6*T2^7 + 2854*T1^7*T2^7 + 
     63*T1^8*T2^7 - 1050*T1^9*T2^7 + 570*T1^10*T2^7 - 23*T1^11*T2^7 - 
     61*T1^12*T2^7 - 150*T1^2*T2^8 + 205*T1^3*T2^8 + 188*T1^4*T2^8 - 
     1310*T1^5*T2^8 + 1587*T1^6*T2^8 + 63*T1^7*T2^8 - 1629*T1^8*T2^8 + 
     1266*T1^9*T2^8 - 164*T1^10*T2^8 - 211*T1^11*T2^8 + 138*T1^12*T2^8 + 
     99*T1^3*T2^9 - 371*T1^4*T2^9 + 534*T1^5*T2^9 - 52*T1^6*T2^9 - 
     1050*T1^7*T2^9 + 1266*T1^8*T2^9 - 346*T1^9*T2^9 - 510*T1^10*T2^9 + 
     445*T1^11*T2^9 - 177*T1^12*T2^9 - 6*T1^4*T2^10 + 137*T1^5*T2^10 - 
     380*T1^6*T2^10 + 570*T1^7*T2^10 - 164*T1^8*T2^10 - 510*T1^9*T2^10 + 
     772*T1^10*T2^10 - 439*T1^11*T2^10 + 138*T1^12*T2^10 - 29*T1^5*T2^11 + 
     58*T1^6*T2^11 - 23*T1^7*T2^11 - 211*T1^8*T2^11 + 445*T1^9*T2^11 - 
     439*T1^10*T2^11 + 218*T1^11*T2^11 - 61*T1^12*T2^11 + 15*T1^6*T2^12 - 
     61*T1^7*T2^12 + 138*T1^8*T2^12 - 177*T1^9*T2^12 + 138*T1^10*T2^12 - 
     61*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 58] -> {((1 - 3*T + T^2)*(3 - 7*T + 3*T^2))/T^2, 
   (-51 + 268*T1 - 449*T1^2 + 268*T1^3 - 51*T1^4 + 268*T2 - 1284*T1*T2 + 
     1719*T1^2*T2 - 345*T1^3*T2 - 372*T1^4*T2 + 124*T1^5*T2 - 449*T2^2 + 
     1719*T1*T2^2 - 615*T1^2*T2^2 - 3357*T1^3*T2^2 + 3273*T1^4*T2^2 - 
     873*T1^5*T2^2 + 37*T1^6*T2^2 + 268*T2^3 - 345*T1*T2^3 - 3357*T1^2*T2^3 + 
     8968*T1^3*T2^3 - 6872*T1^4*T2^3 + 963*T1^5*T2^3 + 663*T1^6*T2^3 - 
     164*T1^7*T2^3 - 51*T2^4 - 372*T1*T2^4 + 3273*T1^2*T2^4 - 
     6872*T1^3*T2^4 + 2952*T1^4*T2^4 + 4840*T1^5*T2^4 - 3947*T1^6*T2^4 + 
     588*T1^7*T2^4 + 57*T1^8*T2^4 + 124*T1*T2^5 - 873*T1^2*T2^5 + 
     963*T1^3*T2^5 + 4840*T1^4*T2^5 - 11000*T1^5*T2^5 + 5283*T1^6*T2^5 + 
     135*T1^7*T2^5 - 308*T1^8*T2^5 + 37*T1^2*T2^6 + 663*T1^3*T2^6 - 
     3947*T1^4*T2^6 + 5283*T1^5*T2^6 - 59*T1^6*T2^6 - 1929*T1^7*T2^6 + 
     523*T1^8*T2^6 - 164*T1^3*T2^7 + 588*T1^4*T2^7 + 135*T1^5*T2^7 - 
     1929*T1^6*T2^7 + 1500*T1^7*T2^7 - 308*T1^8*T2^7 + 57*T1^4*T2^8 - 
     308*T1^5*T2^8 + 523*T1^6*T2^8 - 308*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 59] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-4 + 16*T1 - 20*T1^2 + 16*T1^3 - 4*T1^4 + 16*T2 - 55*T1*T2 + 
      44*T1^2*T2 - 19*T1^3*T2 - 20*T1^4*T2 + 9*T1^5*T2 - 20*T2^2 + 
      44*T1*T2^2 + 34*T1^2*T2^2 - 75*T1^3*T2^2 + 94*T1^4*T2^2 - 
      16*T1^5*T2^2 - 5*T1^6*T2^2 + 16*T2^3 - 19*T1*T2^3 - 75*T1^2*T2^3 + 
      84*T1^3*T2^3 - 56*T1^4*T2^3 - 35*T1^5*T2^3 + 24*T1^6*T2^3 - T1^7*T2^3 - 
      4*T2^4 - 20*T1*T2^4 + 94*T1^2*T2^4 - 56*T1^3*T2^4 - 24*T1^4*T2^4 + 
      80*T1^5*T2^4 - 36*T1^6*T2^4 - 4*T1^7*T2^4 + 2*T1^8*T2^4 + 9*T1*T2^5 - 
      16*T1^2*T2^5 - 35*T1^3*T2^5 + 80*T1^4*T2^5 - 60*T1^5*T2^5 + 
      5*T1^6*T2^5 + 27*T1^7*T2^5 - 8*T1^8*T2^5 - 5*T1^2*T2^6 + 24*T1^3*T2^6 - 
      36*T1^4*T2^6 + 5*T1^5*T2^6 + 24*T1^6*T2^6 - 36*T1^7*T2^6 + 
      10*T1^8*T2^6 - T1^3*T2^7 - 4*T1^4*T2^7 + 27*T1^5*T2^7 - 36*T1^6*T2^7 + 
      31*T1^7*T2^7 - 8*T1^8*T2^7 + 2*T1^4*T2^8 - 8*T1^5*T2^8 + 10*T1^6*T2^8 - 
      8*T1^7*T2^8 + 2*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 60] -> {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((-3 + 21*T1 - 60*T1^2 + 87*T1^3 - 60*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 322*T1^2*T2 - 329*T1^3*T2 + 14*T1^4*T2 + 133*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 60*T2^2 + 322*T1*T2^2 - 535*T1^2*T2^2 - 
      74*T1^3*T2^2 + 1227*T1^4*T2^2 - 954*T1^5*T2^2 + 225*T1^6*T2^2 + 
      42*T1^7*T2^2 - 20*T1^8*T2^2 + 87*T2^3 - 329*T1*T2^3 - 74*T1^2*T2^3 + 
      2067*T1^3*T2^3 - 3531*T1^4*T2^3 + 980*T1^5*T2^3 + 897*T1^6*T2^3 - 
      694*T1^7*T2^3 + 140*T1^8*T2^3 - 60*T2^4 + 14*T1*T2^4 + 1227*T1^2*T2^4 - 
      3531*T1^3*T2^4 + 2621*T1^4*T2^4 + 3431*T1^5*T2^4 - 4791*T1^6*T2^4 + 
      1863*T1^7*T2^4 - 15*T1^8*T2^4 - 140*T1^9*T2^4 + 20*T1^10*T2^4 + 
      21*T2^5 + 133*T1*T2^5 - 954*T1^2*T2^5 + 980*T1^3*T2^5 + 
      3431*T1^4*T2^5 - 9897*T1^5*T2^5 + 7463*T1^6*T2^5 - 329*T1^7*T2^5 - 
      1765*T1^8*T2^5 + 706*T1^9*T2^5 - 42*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 225*T1^2*T2^6 + 897*T1^3*T2^6 - 4791*T1^4*T2^6 + 
      7463*T1^5*T2^6 - 1596*T1^6*T2^6 - 6455*T1^7*T2^6 + 4845*T1^8*T2^6 - 
      957*T1^9*T2^6 - 227*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 42*T1^2*T2^7 - 694*T1^3*T2^7 + 1863*T1^4*T2^7 - 
      329*T1^5*T2^7 - 6455*T1^6*T2^7 + 10905*T1^7*T2^7 - 4089*T1^8*T2^7 - 
      882*T1^9*T2^7 + 966*T1^10*T2^7 - 133*T1^11*T2^7 - 21*T1^12*T2^7 - 
      20*T1^2*T2^8 + 140*T1^3*T2^8 - 15*T1^4*T2^8 - 1765*T1^5*T2^8 + 
      4845*T1^6*T2^8 - 4089*T1^7*T2^8 - 2567*T1^8*T2^8 + 3629*T1^9*T2^8 - 
      1257*T1^10*T2^8 - 14*T1^11*T2^8 + 60*T1^12*T2^8 - 140*T1^4*T2^9 + 
      706*T1^5*T2^9 - 957*T1^6*T2^9 - 882*T1^7*T2^9 + 3629*T1^8*T2^9 - 
      2127*T1^9*T2^9 + 86*T1^10*T2^9 + 329*T1^11*T2^9 - 87*T1^12*T2^9 + 
      20*T1^4*T2^10 - 42*T1^5*T2^10 - 227*T1^6*T2^10 + 966*T1^7*T2^10 - 
      1257*T1^8*T2^10 + 86*T1^9*T2^10 + 533*T1^10*T2^10 - 322*T1^11*T2^10 + 
      60*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 133*T1^7*T2^11 - 
      14*T1^8*T2^11 + 329*T1^9*T2^11 - 322*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 60*T1^8*T2^12 - 
      87*T1^9*T2^12 + 60*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 61] -> 
  {-(((1 - T + T^2)*(2 - 3*T + T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((-39 + 97*T1 - 116*T1^2 + 135*T1^3 - 116*T1^4 + 97*T1^5 - 39*T1^6 + 
      97*T2 - 164*T1*T2 + 97*T1^2*T2 - 107*T1^3*T2 + 23*T1^4*T2 - 
      13*T1^5*T2 - 94*T1^6*T2 + 77*T1^7*T2 - 116*T2^2 + 97*T1*T2^2 + 
      72*T1^2*T2^2 - 24*T1^3*T2^2 + 138*T1^4*T2^2 - 72*T1^5*T2^2 + 
      168*T1^6*T2^2 - 23*T1^7*T2^2 - 68*T1^8*T2^2 + 135*T2^3 - 107*T1*T2^3 - 
      24*T1^2*T2^3 - 112*T1^3*T2^3 - 13*T1^4*T2^3 - 85*T1^5*T2^3 - 
      64*T1^6*T2^3 - 66*T1^7*T2^3 + 43*T1^8*T2^3 + 51*T1^9*T2^3 - 116*T2^4 + 
      23*T1*T2^4 + 138*T1^2*T2^4 - 13*T1^3*T2^4 + 182*T1^4*T2^4 - 
      94*T1^5*T2^4 + 234*T1^6*T2^4 - 69*T1^7*T2^4 + 76*T1^8*T2^4 - 
      77*T1^9*T2^4 - 20*T1^10*T2^4 + 97*T2^5 - 13*T1*T2^5 - 72*T1^2*T2^5 - 
      85*T1^3*T2^5 - 94*T1^4*T2^5 + 8*T1^5*T2^5 - 86*T1^6*T2^5 - 
      46*T1^7*T2^5 + 19*T1^8*T2^5 - 6*T1^9*T2^5 + 57*T1^10*T2^5 - 
      3*T1^11*T2^5 - 39*T2^6 - 94*T1*T2^6 + 168*T1^2*T2^6 - 64*T1^3*T2^6 + 
      234*T1^4*T2^6 - 86*T1^5*T2^6 + 48*T1^6*T2^6 + 50*T1^7*T2^6 - 
      34*T1^8*T2^6 + 8*T1^9*T2^6 - 44*T1^10*T2^6 - 14*T1^11*T2^6 + 
      9*T1^12*T2^6 + 77*T1*T2^7 - 23*T1^2*T2^7 - 66*T1^3*T2^7 - 
      69*T1^4*T2^7 - 46*T1^5*T2^7 + 50*T1^6*T2^7 - 44*T1^7*T2^7 + 
      2*T1^8*T2^7 + 35*T1^9*T2^7 + 47*T1^11*T2^7 - 23*T1^12*T2^7 - 
      68*T1^2*T2^8 + 43*T1^3*T2^8 + 76*T1^4*T2^8 + 19*T1^5*T2^8 - 
      34*T1^6*T2^8 + 2*T1^7*T2^8 + 18*T1^8*T2^8 - 37*T1^9*T2^8 + 
      14*T1^10*T2^8 - 57*T1^11*T2^8 + 28*T1^12*T2^8 + 51*T1^3*T2^9 - 
      77*T1^4*T2^9 - 6*T1^5*T2^9 + 8*T1^6*T2^9 + 35*T1^7*T2^9 - 
      37*T1^8*T2^9 + 56*T1^9*T2^9 - 48*T1^10*T2^9 + 73*T1^11*T2^9 - 
      33*T1^12*T2^9 - 20*T1^4*T2^10 + 57*T1^5*T2^10 - 44*T1^6*T2^10 + 
      14*T1^8*T2^10 - 48*T1^9*T2^10 + 52*T1^10*T2^10 - 63*T1^11*T2^10 + 
      28*T1^12*T2^10 - 3*T1^5*T2^11 - 14*T1^6*T2^11 + 47*T1^7*T2^11 - 
      57*T1^8*T2^11 + 73*T1^9*T2^11 - 63*T1^10*T2^11 + 56*T1^11*T2^11 - 
      23*T1^12*T2^11 + 9*T1^6*T2^12 - 23*T1^7*T2^12 + 28*T1^8*T2^12 - 
      33*T1^9*T2^12 + 28*T1^10*T2^12 - 23*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 62] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-6 + 18*T1 - 36*T1^2 + 48*T1^3 - 54*T1^4 + 48*T1^5 - 36*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 63*T1^2*T2 - 54*T1^3*T2 + 42*T1^4*T2 - 
     9*T1^5*T2 - 12*T1^6*T2 + 36*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     36*T2^2 + 63*T1*T2^2 - 104*T1^2*T2^2 + 85*T1^3*T2^2 - 98*T1^4*T2^2 + 
     64*T1^5*T2^2 - 62*T1^6*T2^2 + 25*T1^7*T2^2 - 44*T1^8*T2^2 + 
     27*T1^9*T2^2 - 24*T1^10*T2^2 + 48*T2^3 - 54*T1*T2^3 + 85*T1^2*T2^3 - 
     24*T1^3*T2^3 + 57*T1^4*T2^3 - 3*T1^5*T2^3 + 27*T1^6*T2^3 + 
     21*T1^7*T2^3 + 30*T1^8*T2^3 + 13*T1^9*T2^3 + 24*T1^11*T2^3 - 54*T2^4 + 
     42*T1*T2^4 - 98*T1^2*T2^4 + 57*T1^3*T2^4 - 172*T1^4*T2^4 + 
     120*T1^5*T2^4 - 172*T1^6*T2^4 + 84*T1^7*T2^4 - 124*T1^8*T2^4 + 
     9*T1^9*T2^4 - 26*T1^10*T2^4 - 18*T1^11*T2^4 - 18*T1^12*T2^4 + 48*T2^5 - 
     9*T1*T2^5 + 64*T1^2*T2^5 - 3*T1^3*T2^5 + 120*T1^4*T2^5 - 11*T1^5*T2^5 + 
     69*T1^6*T2^5 + 27*T1^7*T2^5 + 49*T1^8*T2^5 + 57*T1^9*T2^5 + 
     23*T1^10*T2^5 + 19*T1^11*T2^5 + 30*T1^12*T2^5 + 8*T1^13*T2^5 - 36*T2^6 - 
     12*T1*T2^6 - 62*T1^2*T2^6 + 27*T1^3*T2^6 - 172*T1^4*T2^6 + 
     69*T1^5*T2^6 - 158*T1^6*T2^6 + 68*T1^7*T2^6 - 134*T1^8*T2^6 + 
     9*T1^9*T2^6 - 76*T1^10*T2^6 - 9*T1^11*T2^6 - 26*T1^12*T2^6 - 
     24*T1^13*T2^6 + 18*T2^7 + 36*T1*T2^7 + 25*T1^2*T2^7 + 21*T1^3*T2^7 + 
     84*T1^4*T2^7 + 27*T1^5*T2^7 + 68*T1^6*T2^7 - 3*T1^7*T2^7 + 
     63*T1^8*T2^7 + 32*T1^9*T2^7 + 33*T1^10*T2^7 + 39*T1^11*T2^7 + 
     9*T1^12*T2^7 + 25*T1^13*T2^7 + 9*T1^14*T2^7 - 3*T1^15*T2^7 - 6*T2^8 - 
     27*T1*T2^8 - 44*T1^2*T2^8 + 30*T1^3*T2^8 - 124*T1^4*T2^8 + 
     49*T1^5*T2^8 - 134*T1^6*T2^8 + 63*T1^7*T2^8 - 60*T1^8*T2^8 - 
     27*T1^9*T2^8 - 6*T1^10*T2^8 - 41*T1^11*T2^8 - 4*T1^12*T2^8 - 
     14*T1^13*T2^8 - 14*T1^14*T2^8 + 3*T1^15*T2^8 + 2*T1^16*T2^8 + 
     15*T1*T2^9 + 27*T1^2*T2^9 + 13*T1^3*T2^9 + 9*T1^4*T2^9 + 57*T1^5*T2^9 + 
     9*T1^6*T2^9 + 32*T1^7*T2^9 - 27*T1^8*T2^9 + 39*T1^9*T2^9 - 
     4*T1^10*T2^9 + 15*T1^11*T2^9 + 12*T1^12*T2^9 - 3*T1^13*T2^9 + 
     13*T1^14*T2^9 - 6*T1^16*T2^9 - 24*T1^2*T2^10 - 26*T1^4*T2^10 + 
     23*T1^5*T2^10 - 76*T1^6*T2^10 + 33*T1^7*T2^10 - 6*T1^8*T2^10 - 
     4*T1^9*T2^10 + 18*T1^10*T2^10 - 27*T1^11*T2^10 + 20*T1^12*T2^10 - 
     13*T1^13*T2^10 + 10*T1^14*T2^10 - 12*T1^15*T2^10 + 12*T1^16*T2^10 + 
     24*T1^3*T2^11 - 18*T1^4*T2^11 + 19*T1^5*T2^11 - 9*T1^6*T2^11 + 
     39*T1^7*T2^11 - 41*T1^8*T2^11 + 15*T1^9*T2^11 - 27*T1^10*T2^11 + 
     19*T1^11*T2^11 - 24*T1^12*T2^11 + 17*T1^13*T2^11 - 26*T1^14*T2^11 + 
     21*T1^15*T2^11 - 16*T1^16*T2^11 - 18*T1^4*T2^12 + 30*T1^5*T2^12 - 
     26*T1^6*T2^12 + 9*T1^7*T2^12 - 4*T1^8*T2^12 + 12*T1^9*T2^12 + 
     20*T1^10*T2^12 - 24*T1^11*T2^12 + 44*T1^12*T2^12 - 39*T1^13*T2^12 + 
     46*T1^14*T2^12 - 30*T1^15*T2^12 + 18*T1^16*T2^12 + 8*T1^5*T2^13 - 
     24*T1^6*T2^13 + 25*T1^7*T2^13 - 14*T1^8*T2^13 - 3*T1^9*T2^13 - 
     13*T1^10*T2^13 + 17*T1^11*T2^13 - 39*T1^12*T2^13 + 40*T1^13*T2^13 - 
     47*T1^14*T2^13 + 30*T1^15*T2^13 - 16*T1^16*T2^13 + 9*T1^7*T2^14 - 
     14*T1^8*T2^14 + 13*T1^9*T2^14 + 10*T1^10*T2^14 - 26*T1^11*T2^14 + 
     46*T1^12*T2^14 - 47*T1^13*T2^14 + 46*T1^14*T2^14 - 27*T1^15*T2^14 + 
     12*T1^16*T2^14 - 3*T1^7*T2^15 + 3*T1^8*T2^15 - 12*T1^10*T2^15 + 
     21*T1^11*T2^15 - 30*T1^12*T2^15 + 30*T1^13*T2^15 - 27*T1^14*T2^15 + 
     15*T1^15*T2^15 - 6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 
     12*T1^10*T2^16 - 16*T1^11*T2^16 + 18*T1^12*T2^16 - 16*T1^13*T2^16 + 
     12*T1^14*T2^16 - 6*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[10, 63] -> 
  {((1 - T + T^2)*(5 - 9*T + 5*T^2))/T^2, 
   (2*(20 - 46*T1 + 60*T1^2 - 46*T1^3 + 20*T1^4 - 46*T2 - 111*T1*T2 + 
      454*T1^2*T2 - 701*T1^3*T2 + 554*T1^4*T2 - 221*T1^5*T2 + 60*T2^2 + 
      454*T1*T2^2 - 952*T1^2*T2^2 + 669*T1^3*T2^2 + 378*T1^4*T2^2 - 
      876*T1^5*T2^2 + 535*T1^6*T2^2 - 46*T2^3 - 701*T1*T2^3 + 669*T1^2*T2^3 + 
      566*T1^3*T2^3 - 1828*T1^4*T2^3 + 1201*T1^5*T2^3 + 104*T1^6*T2^3 - 
      571*T1^7*T2^3 + 20*T2^4 + 554*T1*T2^4 + 378*T1^2*T2^4 - 
      1828*T1^3*T2^4 + 1884*T1^4*T2^4 + 216*T1^5*T2^4 - 1416*T1^6*T2^4 + 
      834*T1^7*T2^4 + 270*T1^8*T2^4 - 221*T1*T2^5 - 876*T1^2*T2^5 + 
      1201*T1^3*T2^5 + 216*T1^4*T2^5 - 2178*T1^5*T2^5 + 1733*T1^6*T2^5 - 
      71*T1^7*T2^5 - 746*T1^8*T2^5 + 535*T1^2*T2^6 + 104*T1^3*T2^6 - 
      1416*T1^4*T2^6 + 1733*T1^5*T2^6 - 86*T1^6*T2^6 - 1226*T1^7*T2^6 + 
      1010*T1^8*T2^6 - 571*T1^3*T2^7 + 834*T1^4*T2^7 - 71*T1^5*T2^7 - 
      1226*T1^6*T2^7 + 1499*T1^7*T2^7 - 746*T1^8*T2^7 + 270*T1^4*T2^8 - 
      746*T1^5*T2^8 + 1010*T1^6*T2^8 - 746*T1^7*T2^8 + 270*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 64] -> 
  {-(((1 - T + T^2)*(1 - 2*T + 3*T^2 - 5*T^3 + 3*T^4 - 2*T^5 + T^6))/T^4), 
   -((-5 + 15*T1 - 30*T1^2 + 50*T1^3 - 55*T1^4 + 50*T1^5 - 30*T1^6 + 
      15*T1^7 - 5*T1^8 + 15*T2 - 33*T1*T2 + 54*T1^2*T2 - 78*T1^3*T2 + 
      45*T1^4*T2 - 18*T1^5*T2 - 30*T1^6*T2 + 27*T1^7*T2 - 21*T1^8*T2 + 
      12*T1^9*T2 - 30*T2^2 + 54*T1*T2^2 - 89*T1^2*T2^2 + 135*T1^3*T2^2 - 
      72*T1^4*T2^2 + 75*T1^5*T2^2 - 12*T1^6*T2^2 + 51*T1^7*T2^2 - 
      29*T1^8*T2^2 + 18*T1^9*T2^2 - 18*T1^10*T2^2 + 50*T2^3 - 78*T1*T2^3 + 
      135*T1^2*T2^3 - 204*T1^3*T2^3 + 85*T1^4*T2^3 - 119*T1^5*T2^3 - 
      17*T1^6*T2^3 - 47*T1^7*T2^3 - 36*T1^8*T2^3 + 27*T1^9*T2^3 - 
      6*T1^10*T2^3 + 20*T1^11*T2^3 - 55*T2^4 + 45*T1*T2^4 - 72*T1^2*T2^4 + 
      85*T1^3*T2^4 + 128*T1^4*T2^4 - 29*T1^5*T2^4 + 200*T1^6*T2^4 - 
      37*T1^7*T2^4 + 148*T1^8*T2^4 - 55*T1^9*T2^4 + 12*T1^10*T2^4 - 
      27*T1^11*T2^4 - 11*T1^12*T2^4 + 50*T2^5 - 18*T1*T2^5 + 75*T1^2*T2^5 - 
      119*T1^3*T2^5 - 29*T1^4*T2^5 - 213*T1^5*T2^5 - 16*T1^6*T2^5 - 
      142*T1^7*T2^5 - 89*T1^8*T2^5 - 30*T1^9*T2^5 + 27*T1^10*T2^5 + 
      12*T1^11*T2^5 + 33*T1^12*T2^5 - 30*T2^6 - 30*T1*T2^6 - 12*T1^2*T2^6 - 
      17*T1^3*T2^6 + 200*T1^4*T2^6 - 16*T1^5*T2^6 + 375*T1^6*T2^6 - 
      207*T1^7*T2^6 + 375*T1^8*T2^6 - 100*T1^9*T2^6 + 56*T1^10*T2^6 - 
      53*T1^11*T2^6 - 24*T1^12*T2^6 - 18*T1^13*T2^6 + 6*T1^14*T2^6 + 
      15*T2^7 + 27*T1*T2^7 + 51*T1^2*T2^7 - 47*T1^3*T2^7 - 37*T1^4*T2^7 - 
      142*T1^5*T2^7 - 207*T1^6*T2^7 + 25*T1^7*T2^7 - 131*T1^8*T2^7 - 
      103*T1^9*T2^7 + 68*T1^10*T2^7 - 8*T1^11*T2^7 + 53*T1^12*T2^7 + 
      15*T1^13*T2^7 - 6*T1^15*T2^7 - 5*T2^8 - 21*T1*T2^8 - 29*T1^2*T2^8 - 
      36*T1^3*T2^8 + 148*T1^4*T2^8 - 89*T1^5*T2^8 + 375*T1^6*T2^8 - 
      131*T1^7*T2^8 + 72*T1^8*T2^8 + 107*T1^9*T2^8 - 77*T1^10*T2^8 - 
      15*T1^11*T2^8 - 40*T1^12*T2^8 - 24*T1^13*T2^8 + T1^14*T2^8 + 
      9*T1^15*T2^8 + 3*T1^16*T2^8 + 12*T1*T2^9 + 18*T1^2*T2^9 + 
      27*T1^3*T2^9 - 55*T1^4*T2^9 - 30*T1^5*T2^9 - 100*T1^6*T2^9 - 
      103*T1^7*T2^9 + 107*T1^8*T2^9 - 49*T1^9*T2^9 + T1^10*T2^9 + 
      110*T1^11*T2^9 - T1^12*T2^9 + 45*T1^13*T2^9 - 9*T1^14*T2^9 - 
      9*T1^15*T2^9 - 9*T1^16*T2^9 - 18*T1^2*T2^10 - 6*T1^3*T2^10 + 
      12*T1^4*T2^10 + 27*T1^5*T2^10 + 56*T1^6*T2^10 + 68*T1^7*T2^10 - 
      77*T1^8*T2^10 + T1^9*T2^10 - 77*T1^10*T2^10 - 16*T1^11*T2^10 - 
      88*T1^12*T2^10 - 9*T1^13*T2^10 + 6*T1^15*T2^10 + 18*T1^16*T2^10 + 
      20*T1^3*T2^11 - 27*T1^4*T2^11 + 12*T1^5*T2^11 - 53*T1^6*T2^11 - 
      8*T1^7*T2^11 - 15*T1^8*T2^11 + 110*T1^9*T2^11 - 16*T1^10*T2^11 + 
      109*T1^11*T2^11 - 9*T1^12*T2^11 + 93*T1^13*T2^11 - 51*T1^14*T2^11 + 
      24*T1^15*T2^11 - 30*T1^16*T2^11 - 11*T1^4*T2^12 + 33*T1^5*T2^12 - 
      24*T1^6*T2^12 + 53*T1^7*T2^12 - 40*T1^8*T2^12 - T1^9*T2^12 - 
      88*T1^10*T2^12 - 9*T1^11*T2^12 - 20*T1^12*T2^12 - 87*T1^13*T2^12 + 
      60*T1^14*T2^12 - 39*T1^15*T2^12 + 33*T1^16*T2^12 - 18*T1^6*T2^13 + 
      15*T1^7*T2^13 - 24*T1^8*T2^13 + 45*T1^9*T2^13 - 9*T1^10*T2^13 + 
      93*T1^11*T2^13 - 87*T1^12*T2^13 + 144*T1^13*T2^13 - 93*T1^14*T2^13 + 
      54*T1^15*T2^13 - 30*T1^16*T2^13 + 6*T1^6*T2^14 + T1^8*T2^14 - 
      9*T1^9*T2^14 - 51*T1^11*T2^14 + 60*T1^12*T2^14 - 93*T1^13*T2^14 + 
      61*T1^14*T2^14 - 36*T1^15*T2^14 + 18*T1^16*T2^14 - 6*T1^7*T2^15 + 
      9*T1^8*T2^15 - 9*T1^9*T2^15 + 6*T1^10*T2^15 + 24*T1^11*T2^15 - 
      39*T1^12*T2^15 + 54*T1^13*T2^15 - 36*T1^14*T2^15 + 21*T1^15*T2^15 - 
      9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 18*T1^10*T2^16 - 
      30*T1^11*T2^16 + 33*T1^12*T2^16 - 30*T1^13*T2^16 + 18*T1^14*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[10, 65] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-33 + 115*T1 - 230*T1^2 + 279*T1^3 - 230*T1^4 + 115*T1^5 - 33*T1^6 + 
     115*T2 - 314*T1*T2 + 499*T1^2*T2 - 367*T1^3*T2 + 67*T1^4*T2 + 
     205*T1^5*T2 - 188*T1^6*T2 + 87*T1^7*T2 - 230*T2^2 + 499*T1*T2^2 - 
     664*T1^2*T2^2 + 224*T1^3*T2^2 + 176*T1^4*T2^2 - 336*T1^5*T2^2 + 
     8*T1^6*T2^2 + 107*T1^7*T2^2 - 118*T1^8*T2^2 + 279*T2^3 - 367*T1*T2^3 + 
     224*T1^2*T2^3 + 580*T1^3*T2^3 - 645*T1^4*T2^3 + 251*T1^5*T2^3 + 
     460*T1^6*T2^3 - 322*T1^7*T2^3 + 151*T1^8*T2^3 + 75*T1^9*T2^3 - 
     230*T2^4 + 67*T1*T2^4 + 176*T1^2*T2^4 - 645*T1^3*T2^4 - 238*T1^4*T2^4 + 
     1028*T1^5*T2^4 - 1274*T1^6*T2^4 + 307*T1^7*T2^4 + 78*T1^8*T2^4 - 
     241*T1^9*T2^4 - 6*T1^10*T2^4 + 115*T2^5 + 205*T1*T2^5 - 336*T1^2*T2^5 + 
     251*T1^3*T2^5 + 1028*T1^4*T2^5 - 1278*T1^5*T2^5 + 556*T1^6*T2^5 + 
     636*T1^7*T2^5 - 533*T1^8*T2^5 + 266*T1^9*T2^5 + 107*T1^10*T2^5 - 
     25*T1^11*T2^5 - 33*T2^6 - 188*T1*T2^6 + 8*T1^2*T2^6 + 460*T1^3*T2^6 - 
     1274*T1^4*T2^6 + 556*T1^5*T2^6 + 660*T1^6*T2^6 - 1180*T1^7*T2^6 + 
     434*T1^8*T2^6 + 52*T1^9*T2^6 - 244*T1^10*T2^6 + 36*T1^11*T2^6 + 
     15*T1^12*T2^6 + 87*T1*T2^7 + 107*T1^2*T2^7 - 322*T1^3*T2^7 + 
     307*T1^4*T2^7 + 636*T1^5*T2^7 - 1180*T1^6*T2^7 + 654*T1^7*T2^7 + 
     244*T1^8*T2^7 - 477*T1^9*T2^7 + 280*T1^10*T2^7 + 9*T1^11*T2^7 - 
     53*T1^12*T2^7 - 118*T1^2*T2^8 + 151*T1^3*T2^8 + 78*T1^4*T2^8 - 
     533*T1^5*T2^8 + 434*T1^6*T2^8 + 244*T1^7*T2^8 - 602*T1^8*T2^8 + 
     419*T1^9*T2^8 - 20*T1^10*T2^8 - 157*T1^11*T2^8 + 106*T1^12*T2^8 + 
     75*T1^3*T2^9 - 241*T1^4*T2^9 + 266*T1^5*T2^9 + 52*T1^6*T2^9 - 
     477*T1^7*T2^9 + 419*T1^8*T2^9 - 68*T1^9*T2^9 - 280*T1^10*T2^9 + 
     277*T1^11*T2^9 - 129*T1^12*T2^9 - 6*T1^4*T2^10 + 107*T1^5*T2^10 - 
     244*T1^6*T2^10 + 280*T1^7*T2^10 - 20*T1^8*T2^10 - 280*T1^9*T2^10 + 
     428*T1^10*T2^10 - 285*T1^11*T2^10 + 106*T1^12*T2^10 - 25*T1^5*T2^11 + 
     36*T1^6*T2^11 + 9*T1^7*T2^11 - 157*T1^8*T2^11 + 277*T1^9*T2^11 - 
     285*T1^10*T2^11 + 162*T1^11*T2^11 - 53*T1^12*T2^11 + 15*T1^6*T2^12 - 
     53*T1^7*T2^12 + 106*T1^8*T2^12 - 129*T1^9*T2^12 + 106*T1^10*T2^12 - 
     53*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 66] -> {((1 - T + T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   (3 - 3*T1 + 2*T1^2 - T1^3 + 2*T1^4 - 3*T1^5 + 3*T1^6 - 3*T2 - 87*T1*T2 + 
     252*T1^2*T2 - 437*T1^3*T2 + 508*T1^4*T2 - 423*T1^5*T2 + 237*T1^6*T2 - 
     84*T1^7*T2 + 2*T2^2 + 252*T1*T2^2 - 485*T1^2*T2^2 + 528*T1^3*T2^2 - 
     127*T1^4*T2^2 - 432*T1^5*T2^2 + 763*T1^6*T2^2 - 612*T1^7*T2^2 + 
     290*T1^8*T2^2 - T2^3 - 437*T1*T2^3 + 528*T1^2*T2^3 - 369*T1^3*T2^3 - 
     251*T1^4*T2^3 + 514*T1^5*T2^3 - 207*T1^6*T2^3 - 480*T1^7*T2^3 + 
     670*T1^8*T2^3 - 514*T1^9*T2^3 + 2*T2^4 + 508*T1*T2^4 - 127*T1^2*T2^4 - 
     251*T1^3*T2^4 + 939*T1^4*T2^4 - 677*T1^5*T2^4 + 15*T1^6*T2^4 + 
     547*T1^7*T2^4 - 133*T1^8*T2^4 - 194*T1^9*T2^4 + 578*T1^10*T2^4 - 
     3*T2^5 - 423*T1*T2^5 - 432*T1^2*T2^5 + 514*T1^3*T2^5 - 677*T1^4*T2^5 - 
     423*T1^5*T2^5 + 1037*T1^6*T2^5 - 933*T1^7*T2^5 - 185*T1^8*T2^5 + 
     384*T1^9*T2^5 - 504*T1^10*T2^5 - 408*T1^11*T2^5 + 3*T2^6 + 237*T1*T2^6 + 
     763*T1^2*T2^6 - 207*T1^3*T2^6 + 15*T1^4*T2^6 + 1037*T1^5*T2^6 - 
     576*T1^6*T2^6 - 357*T1^7*T2^6 + 1379*T1^8*T2^6 - 657*T1^9*T2^6 + 
     247*T1^10*T2^6 + 723*T1^11*T2^6 + 165*T1^12*T2^6 - 84*T1*T2^7 - 
     612*T1^2*T2^7 - 480*T1^3*T2^7 + 547*T1^4*T2^7 - 933*T1^5*T2^7 - 
     357*T1^6*T2^7 + 1103*T1^7*T2^7 - 1189*T1^8*T2^7 - 152*T1^9*T2^7 + 
     336*T1^10*T2^7 - 693*T1^11*T2^7 - 489*T1^12*T2^7 + 290*T1^2*T2^8 + 
     670*T1^3*T2^8 - 133*T1^4*T2^8 - 185*T1^5*T2^8 + 1379*T1^6*T2^8 - 
     1189*T1^7*T2^8 + 455*T1^8*T2^8 + 613*T1^9*T2^8 - 139*T1^10*T2^8 - 
     32*T1^11*T2^8 + 866*T1^12*T2^8 - 514*T1^3*T2^9 - 194*T1^4*T2^9 + 
     384*T1^5*T2^9 - 657*T1^6*T2^9 - 152*T1^7*T2^9 + 613*T1^8*T2^9 - 
     495*T1^9*T2^9 - 624*T1^10*T2^9 + 913*T1^11*T2^9 - 1027*T1^12*T2^9 + 
     578*T1^4*T2^10 - 504*T1^5*T2^10 + 247*T1^6*T2^10 + 336*T1^7*T2^10 - 
     139*T1^8*T2^10 - 624*T1^9*T2^10 + 1495*T1^10*T2^10 - 1368*T1^11*T2^10 + 
     866*T1^12*T2^10 - 408*T1^5*T2^11 + 723*T1^6*T2^11 - 693*T1^7*T2^11 - 
     32*T1^8*T2^11 + 913*T1^9*T2^11 - 1368*T1^10*T2^11 + 1047*T1^11*T2^11 - 
     489*T1^12*T2^11 + 165*T1^6*T2^12 - 489*T1^7*T2^12 + 866*T1^8*T2^12 - 
     1027*T1^9*T2^12 + 866*T1^10*T2^12 - 489*T1^11*T2^12 + 165*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 67] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(-24 + 98*T1 - 144*T1^2 + 98*T1^3 - 24*T1^4 + 98*T2 - 428*T1*T2 + 
      697*T1^2*T2 - 551*T1^3*T2 + 212*T1^4*T2 - 30*T1^5*T2 - 144*T2^2 + 
      697*T1*T2^2 - 1059*T1^2*T2^2 + 280*T1^3*T2^2 + 689*T1^4*T2^2 - 
      775*T1^5*T2^2 + 224*T1^6*T2^2 + 98*T2^3 - 551*T1*T2^3 + 280*T1^2*T2^3 + 
      2038*T1^3*T2^3 - 3218*T1^4*T2^3 + 1752*T1^5*T2^3 + 249*T1^6*T2^3 - 
      286*T1^7*T2^3 - 24*T2^4 + 212*T1*T2^4 + 689*T1^2*T2^4 - 
      3218*T1^3*T2^4 + 2346*T1^4*T2^4 + 1134*T1^5*T2^4 - 2671*T1^6*T2^4 + 
      724*T1^7*T2^4 + 104*T1^8*T2^4 - 30*T1*T2^5 - 775*T1^2*T2^5 + 
      1752*T1^3*T2^5 + 1134*T1^4*T2^5 - 4122*T1^5*T2^5 + 3224*T1^6*T2^5 + 
      25*T1^7*T2^5 - 414*T1^8*T2^5 + 224*T1^2*T2^6 + 249*T1^3*T2^6 - 
      2671*T1^4*T2^6 + 3224*T1^5*T2^6 - 923*T1^6*T2^6 - 1223*T1^7*T2^6 + 
      592*T1^8*T2^6 - 286*T1^3*T2^7 + 724*T1^4*T2^7 + 25*T1^5*T2^7 - 
      1223*T1^6*T2^7 + 1364*T1^7*T2^7 - 414*T1^8*T2^7 + 104*T1^4*T2^8 - 
      414*T1^5*T2^8 + 592*T1^6*T2^8 - 414*T1^7*T2^8 + 104*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 68] -> 
  {(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4)/T^2, 
   (-112 + 392*T1 - 584*T1^2 + 392*T1^3 - 112*T1^4 + 392*T2 - 1202*T1*T2 + 
     1454*T1^2*T2 - 506*T1^3*T2 - 194*T1^4*T2 + 168*T1^5*T2 - 584*T2^2 + 
     1454*T1*T2^2 - 853*T1^2*T2^2 - 1369*T1^3*T2^2 + 2003*T1^4*T2^2 - 
     898*T1^5*T2^2 + 88*T1^6*T2^2 + 392*T2^3 - 506*T1*T2^3 - 1369*T1^2*T2^3 + 
     3938*T1^3*T2^3 - 3328*T1^4*T2^3 + 395*T1^5*T2^3 + 670*T1^6*T2^3 - 
     280*T1^7*T2^3 - 112*T2^4 - 194*T1*T2^4 + 2003*T1^2*T2^4 - 
     3328*T1^3*T2^4 + 1272*T1^4*T2^4 + 2440*T1^5*T2^4 - 2141*T1^6*T2^4 + 
     478*T1^7*T2^4 + 144*T1^8*T2^4 + 168*T1*T2^5 - 898*T1^2*T2^5 + 
     395*T1^3*T2^5 + 2440*T1^4*T2^5 - 4826*T1^5*T2^5 + 2159*T1^6*T2^5 + 
     278*T1^7*T2^5 - 504*T1^8*T2^5 + 88*T1^2*T2^6 + 670*T1^3*T2^6 - 
     2141*T1^4*T2^6 + 2159*T1^5*T2^6 + 715*T1^6*T2^6 - 1682*T1^7*T2^6 + 
     760*T1^8*T2^6 - 280*T1^3*T2^7 + 478*T1^4*T2^7 + 278*T1^5*T2^7 - 
     1682*T1^6*T2^7 + 1486*T1^7*T2^7 - 504*T1^8*T2^7 + 144*T1^4*T2^8 - 
     504*T1^5*T2^8 + 760*T1^6*T2^8 - 504*T1^7*T2^8 + 144*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 69] -> 
  {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 84*T1^2 + 116*T1^3 - 84*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 441*T1^2*T2 - 371*T1^3*T2 - 21*T1^4*T2 + 245*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 84*T2^2 + 441*T1*T2^2 - 775*T1^2*T2^2 - 
     373*T1^3*T2^2 + 1643*T1^4*T2^2 - 1297*T1^5*T2^2 + 65*T1^6*T2^2 + 
     147*T1^7*T2^2 - 42*T1^8*T2^2 + 116*T2^3 - 371*T1*T2^3 - 373*T1^2*T2^3 + 
     3928*T1^3*T2^3 - 4422*T1^4*T2^3 + 492*T1^5*T2^3 + 2422*T1^6*T2^3 - 
     1024*T1^7*T2^3 + 91*T1^8*T2^3 + 29*T1^9*T2^3 - 84*T2^4 - 21*T1*T2^4 + 
     1643*T1^2*T2^4 - 4422*T1^3*T2^4 - 1268*T1^4*T2^4 + 9270*T1^5*T2^4 - 
     8520*T1^6*T2^4 + 1262*T1^7*T2^4 + 565*T1^8*T2^4 - 203*T1^9*T2^4 + 
     28*T2^5 + 245*T1*T2^5 - 1297*T1^2*T2^5 + 492*T1^3*T2^5 + 
     9270*T1^4*T2^5 - 13597*T1^5*T2^5 + 4785*T1^6*T2^5 + 4713*T1^7*T2^5 - 
     2882*T1^8*T2^5 + 446*T1^9*T2^5 + 49*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 65*T1^2*T2^6 + 2422*T1^3*T2^6 - 8520*T1^4*T2^6 + 
     4785*T1^5*T2^6 + 6876*T1^6*T2^6 - 10741*T1^7*T2^6 + 3562*T1^8*T2^6 + 
     190*T1^9*T2^6 - 299*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 147*T1^2*T2^7 - 1024*T1^3*T2^7 + 1262*T1^4*T2^7 + 
     4713*T1^5*T2^7 - 10741*T1^6*T2^7 + 7641*T1^7*T2^7 + 156*T1^8*T2^7 - 
     2112*T1^9*T2^7 + 719*T1^10*T2^7 - 49*T1^11*T2^7 - 14*T1^12*T2^7 - 
     42*T1^2*T2^8 + 91*T1^3*T2^8 + 565*T1^4*T2^8 - 2882*T1^5*T2^8 + 
     3562*T1^6*T2^8 + 156*T1^7*T2^8 - 3690*T1^8*T2^8 + 2802*T1^9*T2^8 - 
     513*T1^10*T2^8 - 91*T1^11*T2^8 + 42*T1^12*T2^8 + 29*T1^3*T2^9 - 
     203*T1^4*T2^9 + 446*T1^5*T2^9 + 190*T1^6*T2^9 - 2112*T1^7*T2^9 + 
     2802*T1^8*T2^9 - 1316*T1^9*T2^9 - 205*T1^10*T2^9 + 259*T1^11*T2^9 - 
     58*T1^12*T2^9 + 49*T1^5*T2^10 - 299*T1^6*T2^10 + 719*T1^7*T2^10 - 
     513*T1^8*T2^10 - 205*T1^9*T2^10 + 541*T1^10*T2^10 - 245*T1^11*T2^10 + 
     42*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 49*T1^7*T2^11 - 
     91*T1^8*T2^11 + 259*T1^9*T2^11 - 245*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 42*T1^8*T2^12 - 
     58*T1^9*T2^12 + 42*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 70] -> 
  {(1 - 7*T + 16*T^2 - 19*T^3 + 16*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 64*T1^2 + 76*T1^3 - 64*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 301*T1^2*T2 - 196*T1^3*T2 + 49*T1^4*T2 + 140*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 64*T2^2 + 301*T1*T2^2 - 32*T1^2*T2^2 - 
     899*T1^3*T2^2 + 1244*T1^4*T2^2 - 1283*T1^5*T2^2 + 448*T1^6*T2^2 + 
     77*T1^7*T2^2 - 32*T1^8*T2^2 + 76*T2^3 - 196*T1*T2^3 - 899*T1^2*T2^3 + 
     2379*T1^3*T2^3 - 1741*T1^4*T2^3 + 868*T1^5*T2^3 + 943*T1^6*T2^3 - 
     915*T1^7*T2^3 + 91*T1^8*T2^3 + 19*T1^9*T2^3 - 64*T2^4 + 49*T1*T2^4 + 
     1244*T1^2*T2^4 - 1741*T1^3*T2^4 - 769*T1^4*T2^4 + 1995*T1^5*T2^4 - 
     3001*T1^6*T2^4 + 1033*T1^7*T2^4 + 406*T1^8*T2^4 - 133*T1^9*T2^4 + 
     28*T2^5 + 140*T1*T2^5 - 1283*T1^2*T2^5 + 868*T1^3*T2^5 + 
     1995*T1^4*T2^5 - 1979*T1^5*T2^5 + 1213*T1^6*T2^5 + 1163*T1^7*T2^5 - 
     1411*T1^8*T2^5 + 205*T1^9*T2^5 + 49*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 448*T1^2*T2^6 + 943*T1^3*T2^6 - 3001*T1^4*T2^6 + 
     1213*T1^5*T2^6 + 804*T1^6*T2^6 - 2033*T1^7*T2^6 + 1051*T1^8*T2^6 + 
     381*T1^9*T2^6 - 316*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 77*T1^2*T2^7 - 915*T1^3*T2^7 + 1033*T1^4*T2^7 + 
     1163*T1^5*T2^7 - 2033*T1^6*T2^7 + 1159*T1^7*T2^7 + 331*T1^8*T2^7 - 
     1246*T1^9*T2^7 + 573*T1^10*T2^7 - 14*T1^11*T2^7 - 14*T1^12*T2^7 - 
     32*T1^2*T2^8 + 91*T1^3*T2^8 + 406*T1^4*T2^8 - 1411*T1^5*T2^8 + 
     1051*T1^6*T2^8 + 331*T1^7*T2^8 - 1181*T1^8*T2^8 + 1363*T1^9*T2^8 - 
     432*T1^10*T2^8 - 91*T1^11*T2^8 + 32*T1^12*T2^8 + 19*T1^3*T2^9 - 
     133*T1^4*T2^9 + 205*T1^5*T2^9 + 381*T1^6*T2^9 - 1246*T1^7*T2^9 + 
     1363*T1^8*T2^9 - 1055*T1^9*T2^9 + 189*T1^10*T2^9 + 154*T1^11*T2^9 - 
     38*T1^12*T2^9 + 49*T1^5*T2^10 - 316*T1^6*T2^10 + 573*T1^7*T2^10 - 
     432*T1^8*T2^10 + 189*T1^9*T2^10 + 164*T1^10*T2^10 - 175*T1^11*T2^10 + 
     32*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 14*T1^7*T2^11 - 
     91*T1^8*T2^11 + 154*T1^9*T2^11 - 175*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 32*T1^8*T2^12 - 
     38*T1^9*T2^12 + 32*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 71] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 54*T1^2 + 75*T1^3 - 54*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 280*T1^2*T2 - 273*T1^3*T2 + 28*T1^4*T2 + 105*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 54*T2^2 + 280*T1*T2^2 - 309*T1^2*T2^2 - 
      273*T1^3*T2^2 + 1133*T1^4*T2^2 - 921*T1^5*T2^2 + 303*T1^6*T2^2 + 
      28*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 273*T1*T2^3 - 273*T1^2*T2^3 + 
      1747*T1^3*T2^3 - 2663*T1^4*T2^3 + 880*T1^5*T2^3 + 547*T1^6*T2^3 - 
      615*T1^7*T2^3 + 126*T1^8*T2^3 - 54*T2^4 + 28*T1*T2^4 + 1133*T1^2*T2^4 - 
      2663*T1^3*T2^4 + 2006*T1^4*T2^4 + 1968*T1^5*T2^4 - 3070*T1^6*T2^4 + 
      1487*T1^7*T2^4 - 21*T1^8*T2^4 - 126*T1^9*T2^4 + 18*T1^10*T2^4 + 
      21*T2^5 + 105*T1*T2^5 - 921*T1^2*T2^5 + 880*T1^3*T2^5 + 
      1968*T1^4*T2^5 - 5945*T1^5*T2^5 + 4235*T1^6*T2^5 - 84*T1^7*T2^5 - 
      1449*T1^8*T2^5 + 645*T1^9*T2^5 - 28*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 303*T1^2*T2^6 + 547*T1^3*T2^6 - 3070*T1^4*T2^6 + 
      4235*T1^5*T2^6 - 96*T1^6*T2^6 - 4139*T1^7*T2^6 + 3154*T1^8*T2^6 - 
      611*T1^9*T2^6 - 313*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 28*T1^2*T2^7 - 615*T1^3*T2^7 + 1487*T1^4*T2^7 - 
      84*T1^5*T2^7 - 4139*T1^6*T2^7 + 6041*T1^7*T2^7 - 2136*T1^8*T2^7 - 
      842*T1^9*T2^7 + 951*T1^10*T2^7 - 105*T1^11*T2^7 - 21*T1^12*T2^7 - 
      18*T1^2*T2^8 + 126*T1^3*T2^8 - 21*T1^4*T2^8 - 1449*T1^5*T2^8 + 
      3154*T1^6*T2^8 - 2136*T1^7*T2^8 - 1922*T1^8*T2^8 + 2701*T1^9*T2^8 - 
      1175*T1^10*T2^8 - 28*T1^11*T2^8 + 54*T1^12*T2^8 - 126*T1^4*T2^9 + 
      645*T1^5*T2^9 - 611*T1^6*T2^9 - 842*T1^7*T2^9 + 2701*T1^8*T2^9 - 
      1811*T1^9*T2^9 + 303*T1^10*T2^9 + 273*T1^11*T2^9 - 75*T1^12*T2^9 + 
      18*T1^4*T2^10 - 28*T1^5*T2^10 - 313*T1^6*T2^10 + 951*T1^7*T2^10 - 
      1175*T1^8*T2^10 + 303*T1^9*T2^10 + 299*T1^10*T2^10 - 280*T1^11*T2^10 + 
      54*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 105*T1^7*T2^11 - 
      28*T1^8*T2^11 + 273*T1^9*T2^11 - 280*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 54*T1^8*T2^12 - 
      75*T1^9*T2^12 + 54*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 72] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 183*T1 - 322*T1^2 + 381*T1^3 - 322*T1^4 + 183*T1^5 - 41*T1^6 + 
      183*T2 - 672*T1*T2 + 789*T1^2*T2 - 555*T1^3*T2 + 75*T1^4*T2 + 
      339*T1^5*T2 - 474*T1^6*T2 + 147*T1^7*T2 - 322*T2^2 + 789*T1*T2^2 + 
      186*T1^2*T2^2 - 1308*T1^3*T2^2 + 2088*T1^4*T2^2 - 1948*T1^5*T2^2 + 
      1082*T1^6*T2^2 + 213*T1^7*T2^2 - 194*T1^8*T2^2 + 381*T2^3 - 
      555*T1*T2^3 - 1308*T1^2*T2^3 + 1950*T1^3*T2^3 - 1714*T1^4*T2^3 + 
      476*T1^5*T2^3 + 744*T1^6*T2^3 - 1548*T1^7*T2^3 + 183*T1^8*T2^3 + 
      153*T1^9*T2^3 - 322*T2^4 + 75*T1*T2^4 + 2088*T1^2*T2^4 - 
      1714*T1^3*T2^4 + 899*T1^4*T2^4 + 297*T1^5*T2^4 - 729*T1^6*T2^4 + 
      642*T1^7*T2^4 + 1058*T1^8*T2^4 - 393*T1^9*T2^4 - 66*T1^10*T2^4 + 
      183*T2^5 + 339*T1*T2^5 - 1948*T1^2*T2^5 + 476*T1^3*T2^5 + 
      297*T1^4*T2^5 - 668*T1^5*T2^5 + 162*T1^6*T2^5 + 329*T1^7*T2^5 - 
      1382*T1^8*T2^5 - 108*T1^9*T2^5 + 285*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 474*T1*T2^6 + 1082*T1^2*T2^6 + 744*T1^3*T2^6 - 
      729*T1^4*T2^6 + 162*T1^5*T2^6 + 540*T1^6*T2^6 - 638*T1^7*T2^6 + 
      667*T1^8*T2^6 + 864*T1^9*T2^6 - 426*T1^10*T2^6 - 42*T1^11*T2^6 + 
      7*T1^12*T2^6 + 147*T1*T2^7 + 213*T1^2*T2^7 - 1548*T1^3*T2^7 + 
      642*T1^4*T2^7 + 329*T1^5*T2^7 - 638*T1^6*T2^7 + 192*T1^7*T2^7 + 
      361*T1^8*T2^7 - 1216*T1^9*T2^7 + 292*T1^10*T2^7 + 159*T1^11*T2^7 - 
      33*T1^12*T2^7 - 194*T1^2*T2^8 + 183*T1^3*T2^8 + 1058*T1^4*T2^8 - 
      1382*T1^5*T2^8 + 667*T1^6*T2^8 + 361*T1^7*T2^8 - 961*T1^8*T2^8 + 
      974*T1^9*T2^8 + 28*T1^10*T2^8 - 285*T1^11*T2^8 + 62*T1^12*T2^8 + 
      153*T1^3*T2^9 - 393*T1^4*T2^9 - 108*T1^5*T2^9 + 864*T1^6*T2^9 - 
      1216*T1^7*T2^9 + 974*T1^8*T2^9 - 342*T1^9*T2^9 - 348*T1^10*T2^9 + 
      345*T1^11*T2^9 - 75*T1^12*T2^9 - 66*T1^4*T2^10 + 285*T1^5*T2^10 - 
      426*T1^6*T2^10 + 292*T1^7*T2^10 + 28*T1^8*T2^10 - 348*T1^9*T2^10 + 
      470*T1^10*T2^10 - 291*T1^11*T2^10 + 62*T1^12*T2^10 + 3*T1^5*T2^11 - 
      42*T1^6*T2^11 + 159*T1^7*T2^11 - 285*T1^8*T2^11 + 345*T1^9*T2^11 - 
      291*T1^10*T2^11 + 156*T1^11*T2^11 - 33*T1^12*T2^11 + 7*T1^6*T2^12 - 
      33*T1^7*T2^12 + 62*T1^8*T2^12 - 75*T1^9*T2^12 + 62*T1^10*T2^12 - 
      33*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 73] -> {(1 - 7*T + 20*T^2 - 27*T^3 + 20*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 40*T1^2 + 54*T1^3 - 40*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 231*T1^2*T2 - 238*T1^3*T2 + 91*T1^4*T2 + 42*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 40*T2^2 + 231*T1*T2^2 - 458*T1^2*T2^2 + 
     107*T1^3*T2^2 + 512*T1^4*T2^2 - 693*T1^5*T2^2 + 302*T1^6*T2^2 - 
     49*T1^7*T2^2 + 54*T2^3 - 238*T1*T2^3 + 107*T1^2*T2^3 + 1291*T1^3*T2^3 - 
     2495*T1^4*T2^3 + 1898*T1^5*T2^3 - 221*T1^6*T2^3 - 393*T1^7*T2^3 + 
     189*T1^8*T2^3 - 27*T1^9*T2^3 - 40*T2^4 + 91*T1*T2^4 + 512*T1^2*T2^4 - 
     2495*T1^3*T2^4 + 3045*T1^4*T2^4 - 75*T1^5*T2^4 - 2995*T1^6*T2^4 + 
     2527*T1^7*T2^4 - 534*T1^8*T2^4 - 91*T1^9*T2^4 + 40*T1^10*T2^4 + 
     14*T2^5 + 42*T1*T2^5 - 693*T1^2*T2^5 + 1898*T1^3*T2^5 - 75*T1^4*T2^5 - 
     6075*T1^5*T2^5 + 8245*T1^6*T2^5 - 3595*T1^7*T2^5 - 1237*T1^8*T2^5 + 
     1007*T1^9*T2^5 - 133*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     302*T1^2*T2^6 - 221*T1^3*T2^6 - 2995*T1^4*T2^6 + 8245*T1^5*T2^6 - 
     4632*T1^6*T2^6 - 4073*T1^7*T2^6 + 7033*T1^8*T2^6 - 2063*T1^9*T2^6 - 
     150*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     49*T1^2*T2^7 - 393*T1^3*T2^7 + 2527*T1^4*T2^7 - 3595*T1^5*T2^7 - 
     4073*T1^6*T2^7 + 10247*T1^7*T2^7 - 7115*T1^8*T2^7 - 608*T1^9*T2^7 + 
     1307*T1^10*T2^7 - 224*T1^11*T2^7 - 28*T1^12*T2^7 + 189*T1^3*T2^8 - 
     534*T1^4*T2^8 - 1237*T1^5*T2^8 + 7033*T1^6*T2^8 - 7115*T1^7*T2^8 + 
     993*T1^8*T2^8 + 3785*T1^9*T2^8 - 1580*T1^10*T2^8 + 7*T1^11*T2^8 + 
     80*T1^12*T2^8 - 27*T1^3*T2^9 - 91*T1^4*T2^9 + 1007*T1^5*T2^9 - 
     2063*T1^6*T2^9 - 608*T1^7*T2^9 + 3785*T1^8*T2^9 - 3575*T1^9*T2^9 + 
     507*T1^10*T2^9 + 336*T1^11*T2^9 - 108*T1^12*T2^9 + 40*T1^4*T2^10 - 
     133*T1^5*T2^10 - 150*T1^6*T2^10 + 1307*T1^7*T2^10 - 1580*T1^8*T2^10 + 
     507*T1^9*T2^10 + 610*T1^10*T2^10 - 413*T1^11*T2^10 + 80*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 224*T1^7*T2^11 + 7*T1^8*T2^11 + 
     336*T1^9*T2^11 - 413*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 80*T1^8*T2^12 - 108*T1^9*T2^12 + 
     80*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 74] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(-24 + 100*T1 - 148*T1^2 + 100*T1^3 - 24*T1^4 + 100*T2 - 442*T1*T2 + 
      708*T1^2*T2 - 540*T1^3*T2 + 198*T1^4*T2 - 28*T1^5*T2 - 148*T2^2 + 
      708*T1*T2^2 - 998*T1^2*T2^2 + 159*T1^3*T2^2 + 750*T1^4*T2^2 - 
      764*T1^5*T2^2 + 220*T1^6*T2^2 + 100*T2^3 - 540*T1*T2^3 + 
      159*T1^2*T2^3 + 2126*T1^3*T2^3 - 3130*T1^4*T2^3 + 1631*T1^5*T2^3 + 
      260*T1^6*T2^3 - 284*T1^7*T2^3 - 24*T2^4 + 198*T1*T2^4 + 750*T1^2*T2^4 - 
      3130*T1^3*T2^4 + 2130*T1^4*T2^4 + 1222*T1^5*T2^4 - 2610*T1^6*T2^4 + 
      710*T1^7*T2^4 + 104*T1^8*T2^4 - 28*T1*T2^5 - 764*T1^2*T2^5 + 
      1631*T1^3*T2^5 + 1222*T1^4*T2^5 - 4034*T1^5*T2^5 + 3103*T1^6*T2^5 + 
      36*T1^7*T2^5 - 412*T1^8*T2^5 + 220*T1^2*T2^6 + 260*T1^3*T2^6 - 
      2610*T1^4*T2^6 + 3103*T1^5*T2^6 - 862*T1^6*T2^6 - 1212*T1^7*T2^6 + 
      588*T1^8*T2^6 - 284*T1^3*T2^7 + 710*T1^4*T2^7 + 36*T1^5*T2^7 - 
      1212*T1^6*T2^7 + 1350*T1^7*T2^7 - 412*T1^8*T2^7 + 104*T1^4*T2^8 - 
      412*T1^5*T2^8 + 588*T1^6*T2^8 - 412*T1^7*T2^8 + 104*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 75] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 301*T1^2*T2 - 301*T1^3*T2 + 21*T1^4*T2 + 119*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 301*T1*T2^2 - 414*T1^2*T2^2 - 
      198*T1^3*T2^2 + 1218*T1^4*T2^2 - 958*T1^5*T2^2 + 270*T1^6*T2^2 + 
      35*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 301*T1*T2^3 - 198*T1^2*T2^3 + 
      1954*T1^3*T2^3 - 3148*T1^4*T2^3 + 864*T1^5*T2^3 + 764*T1^6*T2^3 - 
      673*T1^7*T2^3 + 133*T1^8*T2^3 - 57*T2^4 + 21*T1*T2^4 + 1218*T1^2*T2^4 - 
      3148*T1^3*T2^4 + 2358*T1^4*T2^4 + 2906*T1^5*T2^4 - 3834*T1^6*T2^4 + 
      1604*T1^7*T2^4 + 16*T1^8*T2^4 - 133*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 119*T1*T2^5 - 958*T1^2*T2^5 + 864*T1^3*T2^5 + 
      2906*T1^4*T2^5 - 8283*T1^5*T2^5 + 5221*T1^6*T2^5 + 75*T1^7*T2^5 - 
      1668*T1^8*T2^5 + 657*T1^9*T2^5 - 35*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 270*T1^2*T2^6 + 764*T1^3*T2^6 - 3834*T1^4*T2^6 + 
      5221*T1^5*T2^6 + 900*T1^6*T2^6 - 5733*T1^7*T2^6 + 3984*T1^8*T2^6 - 
      728*T1^9*T2^6 - 266*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 35*T1^2*T2^7 - 673*T1^3*T2^7 + 1604*T1^4*T2^7 + 
      75*T1^5*T2^7 - 5733*T1^6*T2^7 + 7771*T1^7*T2^7 - 2756*T1^8*T2^7 - 
      928*T1^9*T2^7 + 942*T1^10*T2^7 - 119*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 133*T1^3*T2^8 + 16*T1^4*T2^8 - 1668*T1^5*T2^8 + 
      3984*T1^6*T2^8 - 2756*T1^7*T2^8 - 2208*T1^8*T2^8 + 3084*T1^9*T2^8 - 
      1186*T1^10*T2^8 - 21*T1^11*T2^8 + 57*T1^12*T2^8 - 133*T1^4*T2^9 + 
      657*T1^5*T2^9 - 728*T1^6*T2^9 - 928*T1^7*T2^9 + 3084*T1^8*T2^9 - 
      1918*T1^9*T2^9 + 182*T1^10*T2^9 + 301*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 35*T1^5*T2^10 - 266*T1^6*T2^10 + 942*T1^7*T2^10 - 
      1186*T1^8*T2^10 + 182*T1^9*T2^10 + 418*T1^10*T2^10 - 301*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 119*T1^7*T2^11 - 
      21*T1^8*T2^11 + 301*T1^9*T2^11 - 301*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 76] -> 
  {-(((1 - T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   -((-41 + 143*T1 - 244*T1^2 + 305*T1^3 - 244*T1^4 + 143*T1^5 - 41*T1^6 + 
      143*T2 - 384*T1*T2 + 451*T1^2*T2 - 381*T1^3*T2 - 3*T1^4*T2 + 
      185*T1^5*T2 - 258*T1^6*T2 + 115*T1^7*T2 - 244*T2^2 + 451*T1*T2^2 - 
      191*T1^2*T2^2 - 96*T1^3*T2^2 + 699*T1^4*T2^2 - 480*T1^5*T2^2 + 
      289*T1^6*T2^2 + 115*T1^7*T2^2 - 148*T1^8*T2^2 + 305*T2^3 - 
      381*T1*T2^3 - 96*T1^2*T2^3 + 222*T1^3*T2^3 - 664*T1^4*T2^3 - 
      106*T1^5*T2^3 + 156*T1^6*T2^3 - 420*T1^7*T2^3 + 81*T1^8*T2^3 + 
      125*T1^9*T2^3 - 244*T2^4 - 3*T1*T2^4 + 699*T1^2*T2^4 - 664*T1^3*T2^4 + 
      951*T1^4*T2^4 + 79*T1^5*T2^4 + 231*T1^6*T2^4 - 4*T1^7*T2^4 + 
      381*T1^8*T2^4 - 255*T1^9*T2^4 - 52*T1^10*T2^4 + 143*T2^5 + 
      185*T1*T2^5 - 480*T1^2*T2^5 - 106*T1^3*T2^5 + 79*T1^4*T2^5 - 
      824*T1^5*T2^5 - 122*T1^6*T2^5 + 103*T1^7*T2^5 - 460*T1^8*T2^5 + 
      84*T1^9*T2^5 + 171*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 258*T1*T2^6 + 
      289*T1^2*T2^6 + 156*T1^3*T2^6 + 231*T1^4*T2^6 - 122*T1^5*T2^6 + 
      1068*T1^6*T2^6 - 634*T1^7*T2^6 + 459*T1^8*T2^6 + 132*T1^9*T2^6 - 
      219*T1^10*T2^6 - 34*T1^11*T2^6 + 7*T1^12*T2^6 + 115*T1*T2^7 + 
      115*T1^2*T2^7 - 420*T1^3*T2^7 - 4*T1^4*T2^7 + 103*T1^5*T2^7 - 
      634*T1^6*T2^7 + 68*T1^7*T2^7 + 127*T1^8*T2^7 - 358*T1^9*T2^7 + 
      144*T1^10*T2^7 + 101*T1^11*T2^7 - 25*T1^12*T2^7 - 148*T1^2*T2^8 + 
      81*T1^3*T2^8 + 381*T1^4*T2^8 - 460*T1^5*T2^8 + 459*T1^6*T2^8 + 
      127*T1^7*T2^8 - 261*T1^8*T2^8 + 200*T1^9*T2^8 + 63*T1^10*T2^8 - 
      171*T1^11*T2^8 + 44*T1^12*T2^8 + 125*T1^3*T2^9 - 255*T1^4*T2^9 + 
      84*T1^5*T2^9 + 132*T1^6*T2^9 - 358*T1^7*T2^9 + 200*T1^8*T2^9 + 
      66*T1^9*T2^9 - 240*T1^10*T2^9 + 207*T1^11*T2^9 - 55*T1^12*T2^9 - 
      52*T1^4*T2^10 + 171*T1^5*T2^10 - 219*T1^6*T2^10 + 144*T1^7*T2^10 + 
      63*T1^8*T2^10 - 240*T1^9*T2^10 + 261*T1^10*T2^10 - 165*T1^11*T2^10 + 
      44*T1^12*T2^10 + 3*T1^5*T2^11 - 34*T1^6*T2^11 + 101*T1^7*T2^11 - 
      171*T1^8*T2^11 + 207*T1^9*T2^11 - 165*T1^10*T2^11 + 92*T1^11*T2^11 - 
      25*T1^12*T2^11 + 7*T1^6*T2^12 - 25*T1^7*T2^12 + 44*T1^8*T2^12 - 
      55*T1^9*T2^12 + 44*T1^10*T2^12 - 25*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 77] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-33 + 115*T1 - 230*T1^2 + 279*T1^3 - 230*T1^4 + 115*T1^5 - 33*T1^6 + 
     115*T2 - 314*T1*T2 + 499*T1^2*T2 - 367*T1^3*T2 + 67*T1^4*T2 + 
     205*T1^5*T2 - 188*T1^6*T2 + 87*T1^7*T2 - 230*T2^2 + 499*T1*T2^2 - 
     664*T1^2*T2^2 + 232*T1^3*T2^2 + 160*T1^4*T2^2 - 328*T1^5*T2^2 + 
     8*T1^6*T2^2 + 107*T1^7*T2^2 - 118*T1^8*T2^2 + 279*T2^3 - 367*T1*T2^3 + 
     232*T1^2*T2^3 + 548*T1^3*T2^3 - 617*T1^4*T2^3 + 279*T1^5*T2^3 + 
     428*T1^6*T2^3 - 314*T1^7*T2^3 + 151*T1^8*T2^3 + 75*T1^9*T2^3 - 
     230*T2^4 + 67*T1*T2^4 + 160*T1^2*T2^4 - 617*T1^3*T2^4 - 216*T1^4*T2^4 + 
     924*T1^5*T2^4 - 1252*T1^6*T2^4 + 335*T1^7*T2^4 + 62*T1^8*T2^4 - 
     241*T1^9*T2^4 - 6*T1^10*T2^4 + 115*T2^5 + 205*T1*T2^5 - 328*T1^2*T2^5 + 
     279*T1^3*T2^5 + 924*T1^4*T2^5 - 1172*T1^5*T2^5 + 662*T1^6*T2^5 + 
     532*T1^7*T2^5 - 505*T1^8*T2^5 + 274*T1^9*T2^5 + 107*T1^10*T2^5 - 
     25*T1^11*T2^5 - 33*T2^6 - 188*T1*T2^6 + 8*T1^2*T2^6 + 428*T1^3*T2^6 - 
     1252*T1^4*T2^6 + 662*T1^5*T2^6 + 372*T1^6*T2^6 - 1074*T1^7*T2^6 + 
     456*T1^8*T2^6 + 20*T1^9*T2^6 - 244*T1^10*T2^6 + 36*T1^11*T2^6 + 
     15*T1^12*T2^6 + 87*T1*T2^7 + 107*T1^2*T2^7 - 314*T1^3*T2^7 + 
     335*T1^4*T2^7 + 532*T1^5*T2^7 - 1074*T1^6*T2^7 + 760*T1^7*T2^7 + 
     140*T1^8*T2^7 - 449*T1^9*T2^7 + 288*T1^10*T2^7 + 9*T1^11*T2^7 - 
     53*T1^12*T2^7 - 118*T1^2*T2^8 + 151*T1^3*T2^8 + 62*T1^4*T2^8 - 
     505*T1^5*T2^8 + 456*T1^6*T2^8 + 140*T1^7*T2^8 - 580*T1^8*T2^8 + 
     447*T1^9*T2^8 - 36*T1^10*T2^8 - 157*T1^11*T2^8 + 106*T1^12*T2^8 + 
     75*T1^3*T2^9 - 241*T1^4*T2^9 + 274*T1^5*T2^9 + 20*T1^6*T2^9 - 
     449*T1^7*T2^9 + 447*T1^8*T2^9 - 100*T1^9*T2^9 - 272*T1^10*T2^9 + 
     277*T1^11*T2^9 - 129*T1^12*T2^9 - 6*T1^4*T2^10 + 107*T1^5*T2^10 - 
     244*T1^6*T2^10 + 288*T1^7*T2^10 - 36*T1^8*T2^10 - 272*T1^9*T2^10 + 
     428*T1^10*T2^10 - 285*T1^11*T2^10 + 106*T1^12*T2^10 - 25*T1^5*T2^11 + 
     36*T1^6*T2^11 + 9*T1^7*T2^11 - 157*T1^8*T2^11 + 277*T1^9*T2^11 - 
     285*T1^10*T2^11 + 162*T1^11*T2^11 - 53*T1^12*T2^11 + 15*T1^6*T2^12 - 
     53*T1^7*T2^12 + 106*T1^8*T2^12 - 129*T1^9*T2^12 + 106*T1^10*T2^12 - 
     53*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 78] -> {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-1 + 7*T1 - 16*T1^2 + 21*T1^3 - 16*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      49*T1*T2 + 112*T1^2*T2 - 147*T1^3*T2 + 112*T1^4*T2 - 49*T1^5*T2 + 
      7*T1^6*T2 - 16*T2^2 + 112*T1*T2^2 - 219*T1^2*T2^2 + 168*T1^3*T2^2 + 
      77*T1^4*T2^2 - 280*T1^5*T2^2 + 261*T1^6*T2^2 - 112*T1^7*T2^2 + 
      16*T1^8*T2^2 + 21*T2^3 - 147*T1*T2^3 + 168*T1^2*T2^3 + 379*T1^3*T2^3 - 
      1211*T1^4*T2^3 + 1484*T1^5*T2^3 - 811*T1^6*T2^3 + 56*T1^7*T2^3 + 
      182*T1^8*T2^3 - 42*T1^9*T2^3 - 16*T2^4 + 112*T1*T2^4 + 77*T1^2*T2^4 - 
      1211*T1^3*T2^4 + 1909*T1^4*T2^4 - 929*T1^5*T2^4 - 1247*T1^6*T2^4 + 
      1855*T1^7*T2^4 - 957*T1^8*T2^4 - 42*T1^9*T2^4 + 48*T1^10*T2^4 + 
      7*T2^5 - 49*T1*T2^5 - 280*T1^2*T2^5 + 1484*T1^3*T2^5 - 929*T1^4*T2^5 - 
      1457*T1^5*T2^5 + 3527*T1^6*T2^5 - 1825*T1^7*T2^5 - 469*T1^8*T2^5 + 
      1176*T1^9*T2^5 - 140*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 7*T1*T2^6 + 
      261*T1^2*T2^6 - 811*T1^3*T2^6 - 1247*T1^4*T2^6 + 3527*T1^5*T2^6 - 
      3360*T1^6*T2^6 - 743*T1^7*T2^6 + 2413*T1^8*T2^6 - 1385*T1^9*T2^6 - 
      503*T1^10*T2^6 + 161*T1^11*T2^6 + 5*T1^12*T2^6 - 112*T1^2*T2^7 + 
      56*T1^3*T2^7 + 1855*T1^4*T2^7 - 1825*T1^5*T2^7 - 743*T1^6*T2^7 + 
      4241*T1^7*T2^7 - 2721*T1^8*T2^7 - 98*T1^9*T2^7 + 1512*T1^10*T2^7 - 
      203*T1^11*T2^7 - 35*T1^12*T2^7 + 16*T1^2*T2^8 + 182*T1^3*T2^8 - 
      957*T1^4*T2^8 - 469*T1^5*T2^8 + 2413*T1^6*T2^8 - 2721*T1^7*T2^8 - 
      743*T1^8*T2^8 + 2597*T1^9*T2^8 - 1991*T1^10*T2^8 + 28*T1^11*T2^8 + 
      80*T1^12*T2^8 - 42*T1^3*T2^9 - 42*T1^4*T2^9 + 1176*T1^5*T2^9 - 
      1385*T1^6*T2^9 - 98*T1^7*T2^9 + 2597*T1^8*T2^9 - 2575*T1^9*T2^9 + 
      1064*T1^10*T2^9 + 287*T1^11*T2^9 - 105*T1^12*T2^9 + 48*T1^4*T2^10 - 
      140*T1^5*T2^10 - 503*T1^6*T2^10 + 1512*T1^7*T2^10 - 1991*T1^8*T2^10 + 
      1064*T1^9*T2^10 - 23*T1^10*T2^10 - 364*T1^11*T2^10 + 80*T1^12*T2^10 - 
      28*T1^5*T2^11 + 161*T1^6*T2^11 - 203*T1^7*T2^11 + 28*T1^8*T2^11 + 
      287*T1^9*T2^11 - 364*T1^10*T2^11 + 217*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 80*T1^8*T2^12 - 105*T1^9*T2^12 + 
      80*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 79] -> 
  {(1 - 3*T + 7*T^2 - 12*T^3 + 15*T^4 - 12*T^5 + 7*T^6 - 3*T^7 + T^8)/T^4, 
   ((1 - 3*T1 + 7*T1^2 - 12*T1^3 + 15*T1^4 - 12*T1^5 + 7*T1^6 - 3*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 9*T1*T2 + 18*T1^2*T2^2 - 21*T1^3*T2^3 + 
      18*T1^4*T2^4 - 9*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 3*T2 + 7*T2^2 - 
      12*T2^3 + 15*T2^4 - 12*T2^5 + 7*T2^6 - 3*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[10, 80] -> {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (3 - 3*T1 - T1^2 + 5*T1^3 - T1^4 - 3*T1^5 + 3*T1^6 - 3*T2 - 85*T1*T2 + 
     252*T1^2*T2 - 412*T1^3*T2 + 452*T1^4*T2 - 396*T1^5*T2 + 239*T1^6*T2 - 
     84*T1^7*T2 - T2^2 + 252*T1*T2^2 - 498*T1^2*T2^2 + 495*T1^3*T2^2 - 
     144*T1^4*T2^2 - 225*T1^5*T2^2 + 582*T1^6*T2^2 - 558*T1^7*T2^2 + 
     269*T1^8*T2^2 + 5*T2^3 - 412*T1*T2^3 + 495*T1^2*T2^3 - 202*T1^3*T2^3 - 
     289*T1^4*T2^3 + 359*T1^5*T2^3 - 382*T1^6*T2^3 - 180*T1^7*T2^3 + 
     560*T1^8*T2^3 - 454*T1^9*T2^3 - T2^4 + 452*T1*T2^4 - 144*T1^2*T2^4 - 
     289*T1^3*T2^4 + 599*T1^4*T2^4 - 283*T1^5*T2^4 + 311*T1^6*T2^4 + 
     323*T1^7*T2^4 - 198*T1^8*T2^4 - 250*T1^9*T2^4 + 539*T1^10*T2^4 - 
     3*T2^5 - 396*T1*T2^5 - 225*T1^2*T2^5 + 359*T1^3*T2^5 - 283*T1^4*T2^5 - 
     205*T1^5*T2^5 - 145*T1^6*T2^5 - 328*T1^7*T2^5 - 361*T1^8*T2^5 + 
     630*T1^9*T2^5 - 396*T1^10*T2^5 - 408*T1^11*T2^5 + 3*T2^6 + 239*T1*T2^6 + 
     582*T1^2*T2^6 - 382*T1^3*T2^6 + 311*T1^4*T2^6 - 145*T1^5*T2^6 + 
     864*T1^6*T2^6 - 343*T1^7*T2^6 + 1013*T1^8*T2^6 - 490*T1^9*T2^6 - 
     174*T1^10*T2^6 + 725*T1^11*T2^6 + 165*T1^12*T2^6 - 84*T1*T2^7 - 
     558*T1^2*T2^7 - 180*T1^3*T2^7 + 323*T1^4*T2^7 - 328*T1^5*T2^7 - 
     343*T1^6*T2^7 - 283*T1^7*T2^7 - 373*T1^8*T2^7 - 397*T1^9*T2^7 + 
     675*T1^10*T2^7 - 558*T1^11*T2^7 - 489*T1^12*T2^7 + 269*T1^2*T2^8 + 
     560*T1^3*T2^8 - 198*T1^4*T2^8 - 361*T1^5*T2^8 + 1013*T1^6*T2^8 - 
     373*T1^7*T2^8 + 725*T1^8*T2^8 + 251*T1^9*T2^8 - 252*T1^10*T2^8 - 
     142*T1^11*T2^8 + 809*T1^12*T2^8 - 454*T1^3*T2^9 - 250*T1^4*T2^9 + 
     630*T1^5*T2^9 - 490*T1^6*T2^9 - 397*T1^7*T2^9 + 251*T1^8*T2^9 - 
     670*T1^9*T2^9 - 45*T1^10*T2^9 + 722*T1^11*T2^9 - 913*T1^12*T2^9 + 
     539*T1^4*T2^10 - 396*T1^5*T2^10 - 174*T1^6*T2^10 + 675*T1^7*T2^10 - 
     252*T1^8*T2^10 - 45*T1^9*T2^10 + 906*T1^10*T2^10 - 1206*T1^11*T2^10 + 
     809*T1^12*T2^10 - 408*T1^5*T2^11 + 725*T1^6*T2^11 - 558*T1^7*T2^11 - 
     142*T1^8*T2^11 + 722*T1^9*T2^11 - 1206*T1^10*T2^11 + 1049*T1^11*T2^11 - 
     489*T1^12*T2^11 + 165*T1^6*T2^12 - 489*T1^7*T2^12 + 809*T1^8*T2^12 - 
     913*T1^9*T2^12 + 809*T1^10*T2^12 - 489*T1^11*T2^12 + 165*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 81] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 
   -(((1 - 8*T1 + 20*T1^2 - 27*T1^3 + 20*T1^4 - 8*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 16*T1*T2 + 23*T1^2*T2^2 - 16*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 8*T2 + 20*T2^2 - 27*T2^3 + 20*T2^4 - 8*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[10, 82] -> 
  {-(((1 - T + T^2)^2*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-3 + 12*T1 - 24*T1^2 + 36*T1^3 - 39*T1^4 + 36*T1^5 - 24*T1^6 + 
      12*T1^7 - 3*T1^8 + 12*T2 - 40*T1*T2 + 64*T1^2*T2 - 80*T1^3*T2 + 
      60*T1^4*T2 - 40*T1^5*T2 + 16*T1^7*T2 - 20*T1^8*T2 + 8*T1^9*T2 - 
      24*T2^2 + 64*T1*T2^2 - 72*T1^2*T2^2 + 65*T1^3*T2^2 + 3*T1^4*T2^2 - 
      24*T1^5*T2^2 + 83*T1^6*T2^2 - 63*T1^7*T2^2 + 40*T1^8*T2^2 - 
      8*T1^10*T2^2 + 36*T2^3 - 80*T1*T2^3 + 65*T1^2*T2^3 - 54*T1^3*T2^3 - 
      27*T1^4*T2^3 + 3*T1^5*T2^3 - 77*T1^6*T2^3 + T1^7*T2^3 + 30*T1^8*T2^3 - 
      63*T1^9*T2^3 + 32*T1^10*T2^3 - 39*T2^4 + 60*T1*T2^4 + 3*T1^2*T2^4 - 
      27*T1^3*T2^4 + 119*T1^4*T2^4 - 59*T1^5*T2^4 + 151*T1^6*T2^4 + 
      5*T1^7*T2^4 - 25*T1^8*T2^4 + 21*T1^9*T2^4 + 35*T1^10*T2^4 - 
      52*T1^11*T2^4 + 13*T1^12*T2^4 + 36*T2^5 - 40*T1*T2^5 - 24*T1^2*T2^5 + 
      3*T1^3*T2^5 - 59*T1^4*T2^5 - 28*T1^5*T2^5 - 88*T1^6*T2^5 - 
      88*T1^7*T2^5 + 20*T1^8*T2^5 + 37*T1^9*T2^5 - 45*T1^10*T2^5 + 
      24*T1^11*T2^5 + 44*T1^12*T2^5 - 24*T1^13*T2^5 - 24*T2^6 + 
      83*T1^2*T2^6 - 77*T1^3*T2^6 + 151*T1^4*T2^6 - 88*T1^5*T2^6 + 
      166*T1^6*T2^6 + 58*T1^7*T2^6 + 6*T1^8*T2^6 - 24*T1^9*T2^6 - 
      73*T1^10*T2^6 + 51*T1^11*T2^6 - 93*T1^12*T2^6 + 24*T1^14*T2^6 + 
      12*T2^7 + 16*T1*T2^7 - 63*T1^2*T2^7 + T1^3*T2^7 + 5*T1^4*T2^7 - 
      88*T1^5*T2^7 + 58*T1^6*T2^7 - 132*T1^7*T2^7 - 52*T1^8*T2^7 + 
      138*T1^9*T2^7 + 40*T1^10*T2^7 + 37*T1^11*T2^7 + 53*T1^12*T2^7 + 
      65*T1^13*T2^7 - 32*T1^14*T2^7 - 16*T1^15*T2^7 - 3*T2^8 - 20*T1*T2^8 + 
      40*T1^2*T2^8 + 30*T1^3*T2^8 - 25*T1^4*T2^8 + 20*T1^5*T2^8 + 
      6*T1^6*T2^8 - 52*T1^7*T2^8 + 72*T1^8*T2^8 - 20*T1^9*T2^8 - 
      314*T1^10*T2^8 + 116*T1^11*T2^8 - 177*T1^12*T2^8 - 34*T1^13*T2^8 - 
      24*T1^14*T2^8 + 44*T1^15*T2^8 + 5*T1^16*T2^8 + 8*T1*T2^9 - 
      63*T1^3*T2^9 + 21*T1^4*T2^9 + 37*T1^5*T2^9 - 24*T1^6*T2^9 + 
      138*T1^7*T2^9 - 20*T1^8*T2^9 + 60*T1^9*T2^9 + 218*T1^10*T2^9 + 
      104*T1^11*T2^9 + 69*T1^12*T2^9 + 73*T1^13*T2^9 + 65*T1^14*T2^9 - 
      48*T1^15*T2^9 - 20*T1^16*T2^9 - 8*T1^2*T2^10 + 32*T1^3*T2^10 + 
      35*T1^4*T2^10 - 45*T1^5*T2^10 - 73*T1^6*T2^10 + 40*T1^7*T2^10 - 
      314*T1^8*T2^10 + 218*T1^9*T2^10 - 474*T1^10*T2^10 + 104*T1^11*T2^10 - 
      297*T1^12*T2^10 + 83*T1^13*T2^10 - 141*T1^14*T2^10 + 32*T1^15*T2^10 + 
      40*T1^16*T2^10 - 52*T1^4*T2^11 + 24*T1^5*T2^11 + 51*T1^6*T2^11 + 
      37*T1^7*T2^11 + 116*T1^8*T2^11 + 104*T1^9*T2^11 + 104*T1^10*T2^11 + 
      164*T1^11*T2^11 + 133*T1^12*T2^11 + 3*T1^13*T2^11 + 72*T1^14*T2^11 + 
      32*T1^15*T2^11 - 60*T1^16*T2^11 + 13*T1^4*T2^12 + 44*T1^5*T2^12 - 
      93*T1^6*T2^12 + 53*T1^7*T2^12 - 177*T1^8*T2^12 + 69*T1^9*T2^12 - 
      297*T1^10*T2^12 + 133*T1^11*T2^12 - 321*T1^12*T2^12 + 101*T1^13*T2^12 - 
      61*T1^14*T2^12 - 68*T1^15*T2^12 + 65*T1^16*T2^12 - 24*T1^5*T2^13 + 
      65*T1^7*T2^13 - 34*T1^8*T2^13 + 73*T1^9*T2^13 + 83*T1^10*T2^13 + 
      3*T1^11*T2^13 + 101*T1^12*T2^13 + 50*T1^13*T2^13 - 63*T1^14*T2^13 + 
      112*T1^15*T2^13 - 60*T1^16*T2^13 + 24*T1^6*T2^14 - 32*T1^7*T2^14 - 
      24*T1^8*T2^14 + 65*T1^9*T2^14 - 141*T1^10*T2^14 + 72*T1^11*T2^14 - 
      61*T1^12*T2^14 - 63*T1^13*T2^14 + 88*T1^14*T2^14 - 96*T1^15*T2^14 + 
      40*T1^16*T2^14 - 16*T1^7*T2^15 + 44*T1^8*T2^15 - 48*T1^9*T2^15 + 
      32*T1^10*T2^15 + 32*T1^11*T2^15 - 68*T1^12*T2^15 + 112*T1^13*T2^15 - 
      96*T1^14*T2^15 + 64*T1^15*T2^15 - 20*T1^16*T2^15 + 5*T1^8*T2^16 - 
      20*T1^9*T2^16 + 40*T1^10*T2^16 - 60*T1^11*T2^16 + 65*T1^12*T2^16 - 
      60*T1^13*T2^16 + 40*T1^14*T2^16 - 20*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[10, 83] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-33 + 148*T1 - 312*T1^2 + 377*T1^3 - 312*T1^4 + 148*T1^5 - 33*T1^6 + 
     148*T2 - 552*T1*T2 + 898*T1^2*T2 - 634*T1^3*T2 + 122*T1^4*T2 + 
     394*T1^5*T2 - 354*T1^6*T2 + 112*T1^7*T2 - 312*T2^2 + 898*T1*T2^2 - 
     851*T1^2*T2^2 - 496*T1^3*T2^2 + 1329*T1^4*T2^2 - 1560*T1^5*T2^2 + 
     441*T1^6*T2^2 + 214*T1^7*T2^2 - 160*T1^8*T2^2 + 377*T2^3 - 634*T1*T2^3 - 
     496*T1^2*T2^3 + 2665*T1^3*T2^3 - 2284*T1^4*T2^3 + 1034*T1^5*T2^3 + 
     1327*T1^6*T2^3 - 1237*T1^7*T2^3 + 266*T1^8*T2^3 + 101*T1^9*T2^3 - 
     312*T2^4 + 122*T1*T2^4 + 1329*T1^2*T2^4 - 2284*T1^3*T2^4 - 
     616*T1^4*T2^4 + 2576*T1^5*T2^4 - 3828*T1^6*T2^4 + 1258*T1^7*T2^4 + 
     491*T1^8*T2^4 - 418*T1^9*T2^4 - 8*T1^10*T2^4 + 148*T2^5 + 394*T1*T2^5 - 
     1560*T1^2*T2^5 + 1034*T1^3*T2^5 + 2576*T1^4*T2^5 - 3018*T1^5*T2^5 + 
     1962*T1^6*T2^5 + 1455*T1^7*T2^5 - 1836*T1^8*T2^5 + 473*T1^9*T2^5 + 
     178*T1^10*T2^5 - 32*T1^11*T2^5 - 33*T2^6 - 354*T1*T2^6 + 441*T1^2*T2^6 + 
     1327*T1^3*T2^6 - 3828*T1^4*T2^6 + 1962*T1^5*T2^6 + 672*T1^6*T2^6 - 
     2854*T1^7*T2^6 + 1450*T1^8*T2^6 + 433*T1^9*T2^6 - 575*T1^10*T2^6 + 
     78*T1^11*T2^6 + 15*T1^12*T2^6 + 112*T1*T2^7 + 214*T1^2*T2^7 - 
     1237*T1^3*T2^7 + 1258*T1^4*T2^7 + 1455*T1^5*T2^7 - 2854*T1^6*T2^7 + 
     2126*T1^7*T2^7 + 334*T1^8*T2^7 - 1612*T1^9*T2^7 + 796*T1^10*T2^7 - 
     2*T1^11*T2^7 - 68*T1^12*T2^7 - 160*T1^2*T2^8 + 266*T1^3*T2^8 + 
     491*T1^4*T2^8 - 1836*T1^5*T2^8 + 1450*T1^6*T2^8 + 334*T1^7*T2^8 - 
     1762*T1^8*T2^8 + 1706*T1^9*T2^8 - 347*T1^10*T2^8 - 274*T1^11*T2^8 + 
     144*T1^12*T2^8 + 101*T1^3*T2^9 - 418*T1^4*T2^9 + 473*T1^5*T2^9 + 
     433*T1^6*T2^9 - 1612*T1^7*T2^9 + 1706*T1^8*T2^9 - 905*T1^9*T2^9 - 
     268*T1^10*T2^9 + 482*T1^11*T2^9 - 175*T1^12*T2^9 - 8*T1^4*T2^10 + 
     178*T1^5*T2^10 - 575*T1^6*T2^10 + 796*T1^7*T2^10 - 347*T1^8*T2^10 - 
     268*T1^9*T2^10 + 717*T1^10*T2^10 - 506*T1^11*T2^10 + 144*T1^12*T2^10 - 
     32*T1^5*T2^11 + 78*T1^6*T2^11 - 2*T1^7*T2^11 - 274*T1^8*T2^11 + 
     482*T1^9*T2^11 - 506*T1^10*T2^11 + 276*T1^11*T2^11 - 68*T1^12*T2^11 + 
     15*T1^6*T2^12 - 68*T1^7*T2^12 + 144*T1^8*T2^12 - 175*T1^9*T2^12 + 
     144*T1^10*T2^12 - 68*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 84] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-33 + 148*T1 - 328*T1^2 + 409*T1^3 - 328*T1^4 + 148*T1^5 - 33*T1^6 + 
     148*T2 - 552*T1*T2 + 970*T1^2*T2 - 724*T1^3*T2 + 86*T1^4*T2 + 
     448*T1^5*T2 - 354*T1^6*T2 + 112*T1^7*T2 - 328*T2^2 + 970*T1*T2^2 - 
     1173*T1^2*T2^2 - 191*T1^3*T2^2 + 1333*T1^4*T2^2 - 1471*T1^5*T2^2 + 
     267*T1^6*T2^2 + 250*T1^7*T2^2 - 168*T1^8*T2^2 + 409*T2^3 - 724*T1*T2^3 - 
     191*T1^2*T2^3 + 2772*T1^3*T2^3 - 2790*T1^4*T2^3 + 960*T1^5*T2^3 + 
     1602*T1^6*T2^3 - 1211*T1^7*T2^3 + 266*T1^8*T2^3 + 109*T1^9*T2^3 - 
     328*T2^4 + 86*T1*T2^4 + 1333*T1^2*T2^4 - 2790*T1^3*T2^4 - 
     419*T1^4*T2^4 + 3615*T1^5*T2^4 - 4739*T1^6*T2^4 + 1310*T1^7*T2^4 + 
     483*T1^8*T2^4 - 454*T1^9*T2^4 - 8*T1^10*T2^4 + 148*T2^5 + 448*T1*T2^5 - 
     1471*T1^2*T2^5 + 960*T1^3*T2^5 + 3615*T1^4*T2^5 - 4978*T1^5*T2^5 + 
     2852*T1^6*T2^5 + 1895*T1^7*T2^5 - 2090*T1^8*T2^5 + 589*T1^9*T2^5 + 
     178*T1^10*T2^5 - 32*T1^11*T2^5 - 33*T2^6 - 354*T1*T2^6 + 267*T1^2*T2^6 + 
     1602*T1^3*T2^6 - 4739*T1^4*T2^6 + 2852*T1^5*T2^6 + 1296*T1^6*T2^6 - 
     4332*T1^7*T2^6 + 2041*T1^8*T2^6 + 282*T1^9*T2^6 - 569*T1^10*T2^6 + 
     78*T1^11*T2^6 + 15*T1^12*T2^6 + 112*T1*T2^7 + 250*T1^2*T2^7 - 
     1211*T1^3*T2^7 + 1310*T1^4*T2^7 + 1895*T1^5*T2^7 - 4332*T1^6*T2^7 + 
     3498*T1^7*T2^7 + 175*T1^8*T2^7 - 1740*T1^9*T2^7 + 849*T1^10*T2^7 - 
     20*T1^11*T2^7 - 68*T1^12*T2^7 - 168*T1^2*T2^8 + 266*T1^3*T2^8 + 
     483*T1^4*T2^8 - 2090*T1^5*T2^8 + 2041*T1^6*T2^8 + 175*T1^7*T2^8 - 
     2279*T1^8*T2^8 + 2010*T1^9*T2^8 - 367*T1^10*T2^8 - 274*T1^11*T2^8 + 
     152*T1^12*T2^8 + 109*T1^3*T2^9 - 454*T1^4*T2^9 + 589*T1^5*T2^9 + 
     282*T1^6*T2^9 - 1740*T1^7*T2^9 + 2010*T1^8*T2^9 - 888*T1^9*T2^9 - 
     431*T1^10*T2^9 + 536*T1^11*T2^9 - 191*T1^12*T2^9 - 8*T1^4*T2^10 + 
     178*T1^5*T2^10 - 569*T1^6*T2^10 + 849*T1^7*T2^10 - 367*T1^8*T2^10 - 
     431*T1^9*T2^10 + 871*T1^10*T2^10 - 542*T1^11*T2^10 + 152*T1^12*T2^10 - 
     32*T1^5*T2^11 + 78*T1^6*T2^11 - 20*T1^7*T2^11 - 274*T1^8*T2^11 + 
     536*T1^9*T2^11 - 542*T1^10*T2^11 + 276*T1^11*T2^11 - 68*T1^12*T2^11 + 
     15*T1^6*T2^12 - 68*T1^7*T2^12 + 152*T1^8*T2^12 - 191*T1^9*T2^12 + 
     152*T1^10*T2^12 - 68*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 85] -> 
  {((1 - T + T^2)*(1 - 3*T + 4*T^2 - 3*T^3 + 4*T^4 - 3*T^5 + T^6))/T^4, 
   (-2 + 8*T1 - 16*T1^2 + 20*T1^3 - 22*T1^4 + 20*T1^5 - 16*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 48*T1^2*T2 - 48*T1^3*T2 + 48*T1^4*T2 - 
     36*T1^5*T2 + 24*T1^6*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 16*T2^2 + 48*T1*T2^2 - 
     66*T1^2*T2^2 + 39*T1^3*T2^2 - 29*T1^4*T2^2 - 2*T1^5*T2^2 + 
     19*T1^6*T2^2 - 57*T1^7*T2^2 + 46*T1^8*T2^2 - 16*T1^9*T2^2 + 20*T2^3 - 
     48*T1*T2^3 + 39*T1^2*T2^3 + 30*T1^3*T2^3 - 40*T1^4*T2^3 + 69*T1^5*T2^3 - 
     63*T1^6*T2^3 + 86*T1^7*T2^3 - 24*T1^8*T2^3 - 41*T1^9*T2^3 + 
     40*T1^10*T2^3 - 10*T1^11*T2^3 - 22*T2^4 + 48*T1*T2^4 - 29*T1^2*T2^4 - 
     40*T1^3*T2^4 + 5*T1^4*T2^4 - 9*T1^5*T2^4 - T1^6*T2^4 - 33*T1^7*T2^4 - 
     35*T1^8*T2^4 + 80*T1^9*T2^4 + 3*T1^10*T2^4 - 48*T1^11*T2^4 + 
     22*T1^12*T2^4 + 20*T2^5 - 36*T1*T2^5 - 2*T1^2*T2^5 + 69*T1^3*T2^5 - 
     9*T1^4*T2^5 + 26*T1^5*T2^5 - 43*T1^6*T2^5 + 53*T1^7*T2^5 + 
     36*T1^8*T2^5 - 67*T1^9*T2^5 - 87*T1^10*T2^5 + 46*T1^11*T2^5 + 
     32*T1^12*T2^5 - 30*T1^13*T2^5 - 16*T2^6 + 24*T1*T2^6 + 19*T1^2*T2^6 - 
     63*T1^3*T2^6 - T1^4*T2^6 - 43*T1^5*T2^6 + 69*T1^6*T2^6 - 23*T1^7*T2^6 - 
     27*T1^8*T2^6 + 21*T1^9*T2^6 + 159*T1^10*T2^6 + 33*T1^11*T2^6 - 
     61*T1^12*T2^6 - 8*T1^13*T2^6 + 32*T1^14*T2^6 + 8*T2^7 - 57*T1^2*T2^7 + 
     86*T1^3*T2^7 - 33*T1^4*T2^7 + 53*T1^5*T2^7 - 23*T1^6*T2^7 - 
     120*T1^7*T2^7 + 110*T1^8*T2^7 - 107*T1^9*T2^7 - 107*T1^10*T2^7 - 
     111*T1^11*T2^7 - 64*T1^12*T2^7 + 119*T1^13*T2^7 - 48*T1^14*T2^7 - 
     20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 46*T1^2*T2^8 - 24*T1^3*T2^8 - 
     35*T1^4*T2^8 + 36*T1^5*T2^8 - 27*T1^6*T2^8 + 110*T1^7*T2^8 + 
     132*T1^8*T2^8 - 186*T1^9*T2^8 + 437*T1^10*T2^8 - 148*T1^11*T2^8 + 
     341*T1^12*T2^8 - 160*T1^13*T2^8 - 18*T1^14*T2^8 + 56*T1^15*T2^8 + 
     6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 41*T1^3*T2^9 + 80*T1^4*T2^9 - 
     67*T1^5*T2^9 + 21*T1^6*T2^9 - 107*T1^7*T2^9 - 186*T1^8*T2^9 + 
     44*T1^9*T2^9 - 191*T1^10*T2^9 - 139*T1^11*T2^9 - 145*T1^12*T2^9 - 
     70*T1^13*T2^9 + 135*T1^14*T2^9 - 64*T1^15*T2^9 - 24*T1^16*T2^9 + 
     40*T1^3*T2^10 + 3*T1^4*T2^10 - 87*T1^5*T2^10 + 159*T1^6*T2^10 - 
     107*T1^7*T2^10 + 437*T1^8*T2^10 - 191*T1^9*T2^10 + 341*T1^10*T2^10 - 
     43*T1^11*T2^10 + 319*T1^12*T2^10 + 9*T1^13*T2^10 - 77*T1^14*T2^10 + 
     8*T1^15*T2^10 + 48*T1^16*T2^10 - 10*T1^3*T2^11 - 48*T1^4*T2^11 + 
     46*T1^5*T2^11 + 33*T1^6*T2^11 - 111*T1^7*T2^11 - 148*T1^8*T2^11 - 
     139*T1^9*T2^11 - 43*T1^10*T2^11 - 138*T1^11*T2^11 - 169*T1^12*T2^11 - 
     123*T1^13*T2^11 + 94*T1^14*T2^11 + 20*T1^15*T2^11 - 60*T1^16*T2^11 + 
     22*T1^4*T2^12 + 32*T1^5*T2^12 - 61*T1^6*T2^12 - 64*T1^7*T2^12 + 
     341*T1^8*T2^12 - 145*T1^9*T2^12 + 319*T1^10*T2^12 - 169*T1^11*T2^12 + 
     301*T1^12*T2^12 + 56*T1^13*T2^12 - 29*T1^14*T2^12 - 64*T1^15*T2^12 + 
     66*T1^16*T2^12 - 30*T1^5*T2^13 - 8*T1^6*T2^13 + 119*T1^7*T2^13 - 
     160*T1^8*T2^13 - 70*T1^9*T2^13 + 9*T1^10*T2^13 - 123*T1^11*T2^13 + 
     56*T1^12*T2^13 - 214*T1^13*T2^13 + 39*T1^14*T2^13 + 80*T1^15*T2^13 - 
     60*T1^16*T2^13 + 32*T1^6*T2^14 - 48*T1^7*T2^14 - 18*T1^8*T2^14 + 
     135*T1^9*T2^14 - 77*T1^10*T2^14 + 94*T1^11*T2^14 - 29*T1^12*T2^14 + 
     39*T1^13*T2^14 + 94*T1^14*T2^14 - 112*T1^15*T2^14 + 48*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 64*T1^9*T2^15 + 8*T1^10*T2^15 + 
     20*T1^11*T2^15 - 64*T1^12*T2^15 + 80*T1^13*T2^15 - 112*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     48*T1^10*T2^16 - 60*T1^11*T2^16 + 66*T1^12*T2^16 - 60*T1^13*T2^16 + 
     48*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[10, 86] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 112*T1 - 236*T1^2 + 311*T1^3 - 236*T1^4 + 112*T1^5 - 25*T1^6 + 
      112*T2 - 426*T1*T2 + 718*T1^2*T2 - 678*T1^3*T2 + 114*T1^4*T2 + 
      214*T1^5*T2 - 228*T1^6*T2 + 76*T1^7*T2 - 236*T2^2 + 718*T1*T2^2 - 
      798*T1^2*T2^2 + 129*T1^3*T2^2 + 1178*T1^4*T2^2 - 1087*T1^5*T2^2 + 
      494*T1^6*T2^2 + 34*T1^7*T2^2 - 84*T1^8*T2^2 + 311*T2^3 - 678*T1*T2^3 + 
      129*T1^2*T2^3 + 1161*T1^3*T2^3 - 2470*T1^4*T2^3 + 854*T1^5*T2^3 + 
      423*T1^6*T2^3 - 840*T1^7*T2^3 + 330*T1^8*T2^3 + 11*T1^9*T2^3 - 
      236*T2^4 + 114*T1*T2^4 + 1178*T1^2*T2^4 - 2470*T1^3*T2^4 + 
      2511*T1^4*T2^4 + 1027*T1^5*T2^4 - 2105*T1^6*T2^4 + 1380*T1^7*T2^4 + 
      16*T1^8*T2^4 - 354*T1^9*T2^4 + 68*T1^10*T2^4 + 112*T2^5 + 214*T1*T2^5 - 
      1087*T1^2*T2^5 + 854*T1^3*T2^5 + 1027*T1^4*T2^5 - 4478*T1^5*T2^5 + 
      3048*T1^6*T2^5 - 132*T1^7*T2^5 - 1418*T1^8*T2^5 + 870*T1^9*T2^5 - 
      2*T1^10*T2^5 - 68*T1^11*T2^5 - 25*T2^6 - 228*T1*T2^6 + 494*T1^2*T2^6 + 
      423*T1^3*T2^6 - 2105*T1^4*T2^6 + 3048*T1^5*T2^6 + 360*T1^6*T2^6 - 
      3212*T1^7*T2^6 + 2525*T1^8*T2^6 - 519*T1^9*T2^6 - 522*T1^10*T2^6 + 
      204*T1^11*T2^6 + 23*T1^12*T2^6 + 76*T1*T2^7 + 34*T1^2*T2^7 - 
      840*T1^3*T2^7 + 1380*T1^4*T2^7 - 132*T1^5*T2^7 - 3212*T1^6*T2^7 + 
      4314*T1^7*T2^7 - 1291*T1^8*T2^7 - 892*T1^9*T2^7 + 1117*T1^10*T2^7 - 
      182*T1^11*T2^7 - 104*T1^12*T2^7 - 84*T1^2*T2^8 + 330*T1^3*T2^8 + 
      16*T1^4*T2^8 - 1418*T1^5*T2^8 + 2525*T1^6*T2^8 - 1291*T1^7*T2^8 - 
      2091*T1^8*T2^8 + 2432*T1^9*T2^8 - 1146*T1^10*T2^8 - 138*T1^11*T2^8 + 
      220*T1^12*T2^8 + 11*T1^3*T2^9 - 354*T1^4*T2^9 + 870*T1^5*T2^9 - 
      519*T1^6*T2^9 - 892*T1^7*T2^9 + 2432*T1^8*T2^9 - 1257*T1^9*T2^9 - 
      99*T1^10*T2^9 + 654*T1^11*T2^9 - 289*T1^12*T2^9 + 68*T1^4*T2^10 - 
      2*T1^5*T2^10 - 522*T1^6*T2^10 + 1117*T1^7*T2^10 - 1146*T1^8*T2^10 - 
      99*T1^9*T2^10 + 770*T1^10*T2^10 - 686*T1^11*T2^10 + 220*T1^12*T2^10 - 
      68*T1^5*T2^11 + 204*T1^6*T2^11 - 182*T1^7*T2^11 - 138*T1^8*T2^11 + 
      654*T1^9*T2^11 - 686*T1^10*T2^11 + 402*T1^11*T2^11 - 104*T1^12*T2^11 + 
      23*T1^6*T2^12 - 104*T1^7*T2^12 + 220*T1^8*T2^12 - 289*T1^9*T2^12 + 
      220*T1^10*T2^12 - 104*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 87] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-25 + 112*T1 - 224*T1^2 + 287*T1^3 - 224*T1^4 + 112*T1^5 - 25*T1^6 + 
      112*T2 - 426*T1*T2 + 664*T1^2*T2 - 606*T1^3*T2 + 132*T1^4*T2 + 
      178*T1^5*T2 - 228*T1^6*T2 + 76*T1^7*T2 - 224*T2^2 + 664*T1*T2^2 - 
      570*T1^2*T2^2 - 95*T1^3*T2^2 + 1152*T1^4*T2^2 - 1103*T1^5*T2^2 + 
      582*T1^6*T2^2 + 16*T1^7*T2^2 - 80*T1^8*T2^2 + 287*T2^3 - 606*T1*T2^3 - 
      95*T1^2*T2^3 + 1138*T1^3*T2^3 - 2061*T1^4*T2^3 + 855*T1^5*T2^3 + 
      214*T1^6*T2^3 - 797*T1^7*T2^3 + 312*T1^8*T2^3 + 11*T1^9*T2^3 - 
      224*T2^4 + 132*T1*T2^4 + 1152*T1^2*T2^4 - 2061*T1^3*T2^4 + 
      2114*T1^4*T2^4 + 358*T1^5*T2^4 - 1378*T1^6*T2^4 + 1251*T1^7*T2^4 + 
      18*T1^8*T2^4 - 336*T1^9*T2^4 + 64*T1^10*T2^4 + 112*T2^5 + 178*T1*T2^5 - 
      1103*T1^2*T2^5 + 855*T1^3*T2^5 + 358*T1^4*T2^5 - 2758*T1^5*T2^5 + 
      2084*T1^6*T2^5 - 290*T1^7*T2^5 - 1269*T1^8*T2^5 + 823*T1^9*T2^5 + 
      16*T1^10*T2^5 - 68*T1^11*T2^5 - 25*T2^6 - 228*T1*T2^6 + 582*T1^2*T2^6 + 
      214*T1^3*T2^6 - 1378*T1^4*T2^6 + 2084*T1^5*T2^6 + 72*T1^6*T2^6 - 
      2020*T1^7*T2^6 + 1970*T1^8*T2^6 - 338*T1^9*T2^6 - 606*T1^10*T2^6 + 
      204*T1^11*T2^6 + 23*T1^12*T2^6 + 76*T1*T2^7 + 16*T1^2*T2^7 - 
      797*T1^3*T2^7 + 1251*T1^4*T2^7 - 290*T1^5*T2^7 - 2020*T1^6*T2^7 + 
      2822*T1^7*T2^7 - 938*T1^8*T2^7 - 873*T1^9*T2^7 + 1129*T1^10*T2^7 - 
      146*T1^11*T2^7 - 104*T1^12*T2^7 - 80*T1^2*T2^8 + 312*T1^3*T2^8 + 
      18*T1^4*T2^8 - 1269*T1^5*T2^8 + 1970*T1^6*T2^8 - 938*T1^7*T2^8 - 
      1522*T1^8*T2^8 + 2043*T1^9*T2^8 - 1116*T1^10*T2^8 - 156*T1^11*T2^8 + 
      208*T1^12*T2^8 + 11*T1^3*T2^9 - 336*T1^4*T2^9 + 823*T1^5*T2^9 - 
      338*T1^6*T2^9 - 873*T1^7*T2^9 + 2043*T1^8*T2^9 - 1262*T1^9*T2^9 + 
      121*T1^10*T2^9 + 582*T1^11*T2^9 - 265*T1^12*T2^9 + 64*T1^4*T2^10 + 
      16*T1^5*T2^10 - 606*T1^6*T2^10 + 1129*T1^7*T2^10 - 1116*T1^8*T2^10 + 
      121*T1^9*T2^10 + 546*T1^10*T2^10 - 632*T1^11*T2^10 + 208*T1^12*T2^10 - 
      68*T1^5*T2^11 + 204*T1^6*T2^11 - 146*T1^7*T2^11 - 156*T1^8*T2^11 + 
      582*T1^9*T2^11 - 632*T1^10*T2^11 + 402*T1^11*T2^11 - 104*T1^12*T2^11 + 
      23*T1^6*T2^12 - 104*T1^7*T2^12 + 208*T1^8*T2^12 - 265*T1^9*T2^12 + 
      208*T1^10*T2^12 - 104*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 88] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 
   -(((1 - 8*T1 + 24*T1^2 - 35*T1^3 + 24*T1^4 - 8*T1^5 + T1^6)*(1 + T1*T2)*
      (1 - 3*T1*T2 + T1^2*T2^2)*(3 - 7*T1*T2 + 3*T1^2*T2^2)*
      (1 - 8*T2 + 24*T2^2 - 35*T2^3 + 24*T2^4 - 8*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[10, 89] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 48*T1^2 + 66*T1^3 - 48*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     120*T1*T2 + 320*T1^2*T2 - 336*T1^3*T2 + 120*T1^4*T2 + 64*T1^5*T2 - 
     48*T1^6*T2 + 8*T1^7*T2 - 48*T2^2 + 320*T1*T2^2 - 640*T1^2*T2^2 + 
     46*T1^3*T2^2 + 964*T1^4*T2^2 - 1154*T1^5*T2^2 + 464*T1^6*T2^2 - 
     64*T1^7*T2^2 + 66*T2^3 - 336*T1*T2^3 + 46*T1^2*T2^3 + 2419*T1^3*T2^3 - 
     4505*T1^4*T2^3 + 3271*T1^5*T2^3 - 359*T1^6*T2^3 - 602*T1^7*T2^3 + 
     264*T1^8*T2^3 - 33*T1^9*T2^3 - 48*T2^4 + 120*T1*T2^4 + 964*T1^2*T2^4 - 
     4505*T1^3*T2^4 + 5388*T1^4*T2^4 + 196*T1^5*T2^4 - 5604*T1^6*T2^4 + 
     4471*T1^7*T2^4 - 956*T1^8*T2^4 - 120*T1^9*T2^4 + 48*T1^10*T2^4 + 
     16*T2^5 + 64*T1*T2^5 - 1154*T1^2*T2^5 + 3271*T1^3*T2^5 + 196*T1^4*T2^5 - 
     11590*T1^5*T2^5 + 15482*T1^6*T2^5 - 6524*T1^7*T2^5 - 2105*T1^8*T2^5 + 
     1702*T1^9*T2^5 - 192*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 48*T1*T2^6 + 
     464*T1^2*T2^6 - 359*T1^3*T2^6 - 5604*T1^4*T2^6 + 15482*T1^5*T2^6 - 
     9108*T1^6*T2^6 - 7478*T1^7*T2^6 + 12588*T1^8*T2^6 - 3629*T1^9*T2^6 - 
     288*T1^10*T2^6 + 160*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     64*T1^2*T2^7 - 602*T1^3*T2^7 + 4471*T1^4*T2^7 - 6524*T1^5*T2^7 - 
     7478*T1^6*T2^7 + 19594*T1^7*T2^7 - 13244*T1^8*T2^7 - 905*T1^9*T2^7 + 
     2254*T1^10*T2^7 - 320*T1^11*T2^7 - 32*T1^12*T2^7 + 264*T1^3*T2^8 - 
     956*T1^4*T2^8 - 2105*T1^5*T2^8 + 12588*T1^6*T2^8 - 13244*T1^7*T2^8 + 
     1596*T1^8*T2^8 + 6871*T1^9*T2^8 - 2876*T1^10*T2^8 + 24*T1^11*T2^8 + 
     96*T1^12*T2^8 - 33*T1^3*T2^9 - 120*T1^4*T2^9 + 1702*T1^5*T2^9 - 
     3629*T1^6*T2^9 - 905*T1^7*T2^9 + 6871*T1^8*T2^9 - 6407*T1^9*T2^9 + 
     1054*T1^10*T2^9 + 480*T1^11*T2^9 - 132*T1^12*T2^9 + 48*T1^4*T2^10 - 
     192*T1^5*T2^10 - 288*T1^6*T2^10 + 2254*T1^7*T2^10 - 2876*T1^8*T2^10 + 
     1054*T1^9*T2^10 + 816*T1^10*T2^10 - 576*T1^11*T2^10 + 96*T1^12*T2^10 - 
     24*T1^5*T2^11 + 160*T1^6*T2^11 - 320*T1^7*T2^11 + 24*T1^8*T2^11 + 
     480*T1^9*T2^11 - 576*T1^10*T2^11 + 232*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 96*T1^8*T2^12 - 132*T1^9*T2^12 + 
     96*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 90] -> 
  {-((2 - 8*T + 17*T^2 - 23*T^3 + 17*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-25 + 100*T1 - 212*T1^2 + 287*T1^3 - 212*T1^4 + 100*T1^5 - 25*T1^6 + 
      100*T2 - 332*T1*T2 + 576*T1^2*T2 - 572*T1^3*T2 + 68*T1^4*T2 + 
      176*T1^5*T2 - 172*T1^6*T2 + 68*T1^7*T2 - 212*T2^2 + 576*T1*T2^2 - 
      788*T1^2*T2^2 + 445*T1^3*T2^2 + 664*T1^4*T2^2 - 575*T1^5*T2^2 + 
      232*T1^6*T2^2 + 32*T1^7*T2^2 - 76*T1^8*T2^2 + 287*T2^3 - 572*T1*T2^3 + 
      445*T1^2*T2^3 + 342*T1^3*T2^3 - 1631*T1^4*T2^3 + 359*T1^5*T2^3 + 
      392*T1^6*T2^3 - 541*T1^7*T2^3 + 260*T1^8*T2^3 + 11*T1^9*T2^3 - 
      212*T2^4 + 68*T1*T2^4 + 664*T1^2*T2^4 - 1631*T1^3*T2^4 + 
      2029*T1^4*T2^4 + 911*T1^5*T2^4 - 1451*T1^6*T2^4 + 761*T1^7*T2^4 + 
      32*T1^8*T2^4 - 284*T1^9*T2^4 + 60*T1^10*T2^4 + 100*T2^5 + 176*T1*T2^5 - 
      575*T1^2*T2^5 + 359*T1^3*T2^5 + 911*T1^4*T2^5 - 3871*T1^5*T2^5 + 
      2369*T1^6*T2^5 - 24*T1^7*T2^5 - 827*T1^8*T2^5 + 547*T1^9*T2^5 - 
      60*T1^11*T2^5 - 25*T2^6 - 172*T1*T2^6 + 232*T1^2*T2^6 + 392*T1^3*T2^6 - 
      1451*T1^4*T2^6 + 2369*T1^5*T2^6 + 492*T1^6*T2^6 - 2653*T1^7*T2^6 + 
      1739*T1^8*T2^6 - 432*T1^9*T2^6 - 252*T1^10*T2^6 + 148*T1^11*T2^6 + 
      23*T1^12*T2^6 + 68*T1*T2^7 + 32*T1^2*T2^7 - 541*T1^3*T2^7 + 
      761*T1^4*T2^7 - 24*T1^5*T2^7 - 2653*T1^6*T2^7 + 3587*T1^7*T2^7 - 
      959*T1^8*T2^7 - 425*T1^9*T2^7 + 581*T1^10*T2^7 - 144*T1^11*T2^7 - 
      92*T1^12*T2^7 - 76*T1^2*T2^8 + 260*T1^3*T2^8 + 32*T1^4*T2^8 - 
      827*T1^5*T2^8 + 1739*T1^6*T2^8 - 959*T1^7*T2^8 - 1741*T1^8*T2^8 + 
      1565*T1^9*T2^8 - 600*T1^10*T2^8 - 92*T1^11*T2^8 + 196*T1^12*T2^8 + 
      11*T1^3*T2^9 - 284*T1^4*T2^9 + 547*T1^5*T2^9 - 432*T1^6*T2^9 - 
      425*T1^7*T2^9 + 1565*T1^8*T2^9 - 382*T1^9*T2^9 - 439*T1^10*T2^9 + 
      548*T1^11*T2^9 - 265*T1^12*T2^9 + 60*T1^4*T2^10 - 252*T1^6*T2^10 + 
      581*T1^7*T2^10 - 600*T1^8*T2^10 - 439*T1^9*T2^10 + 768*T1^10*T2^10 - 
      544*T1^11*T2^10 + 196*T1^12*T2^10 - 60*T1^5*T2^11 + 148*T1^6*T2^11 - 
      144*T1^7*T2^11 - 92*T1^8*T2^11 + 548*T1^9*T2^11 - 544*T1^10*T2^11 + 
      308*T1^11*T2^11 - 92*T1^12*T2^11 + 23*T1^6*T2^12 - 92*T1^7*T2^12 + 
      196*T1^8*T2^12 - 265*T1^9*T2^12 + 196*T1^10*T2^12 - 92*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 91] -> {(1 - 4*T + 9*T^2 - 14*T^3 + 17*T^4 - 14*T^5 + 9*T^6 - 
     4*T^7 + T^8)/T^4, (-4 + 16*T1 - 36*T1^2 + 56*T1^3 - 68*T1^4 + 56*T1^5 - 
     36*T1^6 + 16*T1^7 - 4*T1^8 + 16*T2 - 52*T1*T2 + 96*T1^2*T2 - 
     116*T1^3*T2 + 104*T1^4*T2 - 20*T1^5*T2 - 24*T1^6*T2 + 44*T1^7*T2 - 
     32*T1^8*T2 + 12*T1^9*T2 - 36*T2^2 + 96*T1*T2^2 - 149*T1^2*T2^2 + 
     142*T1^3*T2^2 - 99*T1^4*T2^2 - 63*T1^5*T2^2 + 45*T1^6*T2^2 - 
     38*T1^7*T2^2 - 5*T1^8*T2^2 + 24*T1^9*T2^2 - 18*T1^10*T2^2 + 56*T2^3 - 
     116*T1*T2^3 + 142*T1^2*T2^3 - 86*T1^3*T2^3 + 33*T1^4*T2^3 + 
     169*T1^5*T2^3 + 19*T1^6*T2^3 - 21*T1^7*T2^3 + 76*T1^8*T2^3 - 
     56*T1^9*T2^3 + 16*T1^10*T2^3 + 14*T1^11*T2^3 - 68*T2^4 + 104*T1*T2^4 - 
     99*T1^2*T2^4 + 33*T1^3*T2^4 - 29*T1^4*T2^4 - 164*T1^5*T2^4 - 
     201*T1^6*T2^4 + 52*T1^7*T2^4 - 61*T1^8*T2^4 - 23*T1^9*T2^4 + 
     65*T1^10*T2^4 - 56*T1^11*T2^4 + 56*T2^5 - 20*T1*T2^5 - 63*T1^2*T2^5 + 
     169*T1^3*T2^5 - 164*T1^4*T2^5 + 310*T1^5*T2^5 + 215*T1^6*T2^5 + 
     91*T1^7*T2^5 - 26*T1^8*T2^5 + 68*T1^9*T2^5 - 57*T1^10*T2^5 - 
     3*T1^11*T2^5 + 56*T1^12*T2^5 - 14*T1^13*T2^5 - 36*T2^6 - 24*T1*T2^6 + 
     45*T1^2*T2^6 + 19*T1^3*T2^6 - 201*T1^4*T2^6 + 215*T1^5*T2^6 - 
     671*T1^6*T2^6 + 41*T1^7*T2^6 - 31*T1^8*T2^6 - 17*T1^9*T2^6 + 
     29*T1^10*T2^6 + 55*T1^11*T2^6 - 59*T1^12*T2^6 - 16*T1^13*T2^6 + 
     18*T1^14*T2^6 + 16*T2^7 + 44*T1*T2^7 - 38*T1^2*T2^7 - 21*T1^3*T2^7 + 
     52*T1^4*T2^7 + 91*T1^5*T2^7 + 41*T1^6*T2^7 + 582*T1^7*T2^7 - 
     302*T1^8*T2^7 + 25*T1^9*T2^7 - T1^10*T2^7 - 116*T1^11*T2^7 + 
     25*T1^12*T2^7 + 52*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 
     32*T1*T2^8 - 5*T1^2*T2^8 + 76*T1^3*T2^8 - 61*T1^4*T2^8 - 26*T1^5*T2^8 - 
     31*T1^6*T2^8 - 302*T1^7*T2^8 - 60*T1^8*T2^8 + 330*T1^9*T2^8 - 
     39*T1^10*T2^8 + 94*T1^11*T2^8 + 79*T1^12*T2^8 - 76*T1^13*T2^8 + 
     7*T1^14*T2^8 + 32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 
     24*T1^2*T2^9 - 56*T1^3*T2^9 - 23*T1^4*T2^9 + 68*T1^5*T2^9 - 
     17*T1^6*T2^9 + 25*T1^7*T2^9 + 330*T1^8*T2^9 - 554*T1^9*T2^9 + 
     9*T1^10*T2^9 - 109*T1^11*T2^9 - 100*T1^12*T2^9 + 23*T1^13*T2^9 + 
     34*T1^14*T2^9 - 44*T1^15*T2^9 - 16*T1^16*T2^9 - 18*T1^2*T2^10 + 
     16*T1^3*T2^10 + 65*T1^4*T2^10 - 57*T1^5*T2^10 + 29*T1^6*T2^10 - 
     T1^7*T2^10 - 39*T1^8*T2^10 + 9*T1^9*T2^10 + 601*T1^10*T2^10 - 
     233*T1^11*T2^10 + 259*T1^12*T2^10 - 21*T1^13*T2^10 - 39*T1^14*T2^10 + 
     24*T1^15*T2^10 + 36*T1^16*T2^10 + 14*T1^3*T2^11 - 56*T1^4*T2^11 - 
     3*T1^5*T2^11 + 55*T1^6*T2^11 - 116*T1^7*T2^11 + 94*T1^8*T2^11 - 
     109*T1^9*T2^11 - 233*T1^10*T2^11 - 242*T1^11*T2^11 + 116*T1^12*T2^11 - 
     171*T1^13*T2^11 + 57*T1^14*T2^11 + 20*T1^15*T2^11 - 56*T1^16*T2^11 + 
     56*T1^5*T2^12 - 59*T1^6*T2^12 + 25*T1^7*T2^12 + 79*T1^8*T2^12 - 
     100*T1^9*T2^12 + 259*T1^10*T2^12 + 116*T1^11*T2^12 + 47*T1^12*T2^12 - 
     31*T1^13*T2^12 + 105*T1^14*T2^12 - 104*T1^15*T2^12 + 68*T1^16*T2^12 - 
     14*T1^5*T2^13 - 16*T1^6*T2^13 + 52*T1^7*T2^13 - 76*T1^8*T2^13 + 
     23*T1^9*T2^13 - 21*T1^10*T2^13 - 171*T1^11*T2^13 - 31*T1^12*T2^13 + 
     86*T1^13*T2^13 - 146*T1^14*T2^13 + 116*T1^15*T2^13 - 56*T1^16*T2^13 + 
     18*T1^6*T2^14 - 24*T1^7*T2^14 + 7*T1^8*T2^14 + 34*T1^9*T2^14 - 
     39*T1^10*T2^14 + 57*T1^11*T2^14 + 105*T1^12*T2^14 - 146*T1^13*T2^14 + 
     151*T1^14*T2^14 - 96*T1^15*T2^14 + 36*T1^16*T2^14 - 12*T1^7*T2^15 + 
     32*T1^8*T2^15 - 44*T1^9*T2^15 + 24*T1^10*T2^15 + 20*T1^11*T2^15 - 
     104*T1^12*T2^15 + 116*T1^13*T2^15 - 96*T1^14*T2^15 + 52*T1^15*T2^15 - 
     16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 36*T1^10*T2^16 - 
     56*T1^11*T2^16 + 68*T1^12*T2^16 - 56*T1^13*T2^16 + 36*T1^14*T2^16 - 
     16*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 92] -> {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/
     T^3), -((-41 + 203*T1 - 402*T1^2 + 501*T1^3 - 402*T1^4 + 203*T1^5 - 
      41*T1^6 + 203*T2 - 844*T1*T2 + 1192*T1^2*T2 - 894*T1^3*T2 + 6*T1^4*T2 + 
      592*T1^5*T2 - 604*T1^6*T2 + 163*T1^7*T2 - 402*T2^2 + 1192*T1*T2^2 - 
      229*T1^2*T2^2 - 1770*T1^3*T2^2 + 3539*T1^4*T2^2 - 2970*T1^5*T2^2 + 
      1211*T1^6*T2^2 + 392*T1^7*T2^2 - 242*T1^8*T2^2 + 501*T2^3 - 
      894*T1*T2^3 - 1770*T1^2*T2^3 + 3916*T1^3*T2^3 - 3967*T1^4*T2^3 + 
      533*T1^5*T2^3 + 1966*T1^6*T2^3 - 2370*T1^7*T2^3 + 206*T1^8*T2^3 + 
      201*T1^9*T2^3 - 402*T2^4 + 6*T1*T2^4 + 3539*T1^2*T2^4 - 
      3967*T1^3*T2^4 + 1676*T1^4*T2^4 + 2670*T1^5*T2^4 - 2944*T1^6*T2^4 + 
      1033*T1^7*T2^4 + 1739*T1^8*T2^4 - 594*T1^9*T2^4 - 82*T1^10*T2^4 + 
      203*T2^5 + 592*T1*T2^5 - 2970*T1^2*T2^5 + 533*T1^3*T2^5 + 
      2670*T1^4*T2^5 - 4572*T1^5*T2^5 + 1128*T1^6*T2^5 + 1870*T1^7*T2^5 - 
      2967*T1^8*T2^5 + 30*T1^9*T2^5 + 392*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 604*T1*T2^6 + 1211*T1^2*T2^6 + 1966*T1^3*T2^6 - 
      2944*T1^4*T2^6 + 1128*T1^5*T2^6 + 3276*T1^6*T2^6 - 3912*T1^7*T2^6 + 
      1936*T1^8*T2^6 + 1366*T1^9*T2^6 - 709*T1^10*T2^6 - 44*T1^11*T2^6 + 
      7*T1^12*T2^6 + 163*T1*T2^7 + 392*T1^2*T2^7 - 2370*T1^3*T2^7 + 
      1033*T1^4*T2^7 + 1870*T1^5*T2^7 - 3912*T1^6*T2^7 + 1788*T1^7*T2^7 + 
      1070*T1^8*T2^7 - 2467*T1^9*T2^7 + 630*T1^10*T2^7 + 192*T1^11*T2^7 - 
      37*T1^12*T2^7 - 242*T1^2*T2^8 + 206*T1^3*T2^8 + 1739*T1^4*T2^8 - 
      2967*T1^5*T2^8 + 1936*T1^6*T2^8 + 1070*T1^7*T2^8 - 2684*T1^8*T2^8 + 
      2033*T1^9*T2^8 - 61*T1^10*T2^8 - 394*T1^11*T2^8 + 78*T1^12*T2^8 + 
      201*T1^3*T2^9 - 594*T1^4*T2^9 + 30*T1^5*T2^9 + 1366*T1^6*T2^9 - 
      2467*T1^7*T2^9 + 2033*T1^8*T2^9 - 584*T1^9*T2^9 - 570*T1^10*T2^9 + 
      506*T1^11*T2^9 - 99*T1^12*T2^9 - 82*T1^4*T2^10 + 392*T1^5*T2^10 - 
      709*T1^6*T2^10 + 630*T1^7*T2^10 - 61*T1^8*T2^10 - 570*T1^9*T2^10 + 
      731*T1^10*T2^10 - 408*T1^11*T2^10 + 78*T1^12*T2^10 + 3*T1^5*T2^11 - 
      44*T1^6*T2^11 + 192*T1^7*T2^11 - 394*T1^8*T2^11 + 506*T1^9*T2^11 - 
      408*T1^10*T2^11 + 196*T1^11*T2^11 - 37*T1^12*T2^11 + 7*T1^6*T2^12 - 
      37*T1^7*T2^12 + 78*T1^8*T2^12 - 99*T1^9*T2^12 + 78*T1^10*T2^12 - 
      37*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 93] -> {(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-17 + 68*T1 - 128*T1^2 + 145*T1^3 - 128*T1^4 + 68*T1^5 - 17*T1^6 + 
     68*T2 - 236*T1*T2 + 368*T1^2*T2 - 308*T1^3*T2 + 204*T1^4*T2 - 
     76*T1^6*T2 + 36*T1^7*T2 - 128*T2^2 + 368*T1*T2^2 - 410*T1^2*T2^2 + 
     79*T1^3*T2^2 + 136*T1^4*T2^2 - 461*T1^5*T2^2 + 370*T1^6*T2^2 - 
     112*T1^7*T2^2 - 8*T1^8*T2^2 + 145*T2^3 - 308*T1*T2^3 + 79*T1^2*T2^3 + 
     542*T1^3*T2^3 - 665*T1^4*T2^3 + 829*T1^5*T2^3 - 280*T1^6*T2^3 - 
     251*T1^7*T2^3 + 268*T1^8*T2^3 - 59*T1^9*T2^3 - 128*T2^4 + 204*T1*T2^4 + 
     136*T1^2*T2^4 - 665*T1^3*T2^4 + 369*T1^4*T2^4 - 231*T1^5*T2^4 - 
     519*T1^6*T2^4 + 831*T1^7*T2^4 - 240*T1^8*T2^4 - 212*T1^9*T2^4 + 
     112*T1^10*T2^4 + 68*T2^5 - 461*T1^2*T2^5 + 829*T1^3*T2^5 - 
     231*T1^4*T2^5 - 65*T1^5*T2^5 + 615*T1^6*T2^5 - 456*T1^7*T2^5 - 
     661*T1^8*T2^5 + 709*T1^9*T2^5 - 80*T1^10*T2^5 - 92*T1^11*T2^5 - 
     17*T2^6 - 76*T1*T2^6 + 370*T1^2*T2^6 - 280*T1^3*T2^6 - 519*T1^4*T2^6 + 
     615*T1^5*T2^6 - 336*T1^6*T2^6 - 299*T1^7*T2^6 + 1339*T1^8*T2^6 - 
     448*T1^9*T2^6 - 418*T1^10*T2^6 + 244*T1^11*T2^6 + 31*T1^12*T2^6 + 
     36*T1*T2^7 - 112*T1^2*T2^7 - 251*T1^3*T2^7 + 831*T1^4*T2^7 - 
     456*T1^5*T2^7 - 299*T1^6*T2^7 + 381*T1^7*T2^7 - 681*T1^8*T2^7 - 
     659*T1^9*T2^7 + 919*T1^10*T2^7 - 192*T1^11*T2^7 - 124*T1^12*T2^7 - 
     8*T1^2*T2^8 + 268*T1^3*T2^8 - 240*T1^4*T2^8 - 661*T1^5*T2^8 + 
     1339*T1^6*T2^8 - 681*T1^7*T2^8 + 451*T1^8*T2^8 + 835*T1^9*T2^8 - 
     616*T1^10*T2^8 - 148*T1^11*T2^8 + 232*T1^12*T2^8 - 59*T1^3*T2^9 - 
     212*T1^4*T2^9 + 709*T1^5*T2^9 - 448*T1^6*T2^9 - 659*T1^7*T2^9 + 
     835*T1^8*T2^9 - 1270*T1^9*T2^9 + 379*T1^10*T2^9 + 364*T1^11*T2^9 - 
     263*T1^12*T2^9 + 112*T1^4*T2^10 - 80*T1^5*T2^10 - 418*T1^6*T2^10 + 
     919*T1^7*T2^10 - 616*T1^8*T2^10 + 379*T1^9*T2^10 + 362*T1^10*T2^10 - 
     560*T1^11*T2^10 + 232*T1^12*T2^10 - 92*T1^5*T2^11 + 244*T1^6*T2^11 - 
     192*T1^7*T2^11 - 148*T1^8*T2^11 + 364*T1^9*T2^11 - 560*T1^10*T2^11 + 
     404*T1^11*T2^11 - 124*T1^12*T2^11 + 31*T1^6*T2^12 - 124*T1^7*T2^12 + 
     232*T1^8*T2^12 - 263*T1^9*T2^12 + 232*T1^10*T2^12 - 124*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 94] -> {-((1 - 4*T + 9*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 9*T^6 - 
      4*T^7 + T^8)/T^4), -((-5 + 20*T1 - 45*T1^2 + 70*T1^3 - 75*T1^4 + 
      70*T1^5 - 45*T1^6 + 20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 
      136*T1^3*T2 + 76*T1^4*T2 - 40*T1^5*T2 - 44*T1^6*T2 + 64*T1^7*T2 - 
      44*T1^8*T2 + 16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 175*T1^2*T2^2 + 
      158*T1^3*T2^2 - 13*T1^4*T2^2 + 35*T1^5*T2^2 + 95*T1^6*T2^2 - 
      22*T1^7*T2^2 - 31*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 70*T2^3 - 
      136*T1*T2^3 + 158*T1^2*T2^3 - 76*T1^3*T2^3 - 125*T1^4*T2^3 - 
      65*T1^5*T2^3 - 143*T1^6*T2^3 - 95*T1^7*T2^3 + 86*T1^8*T2^3 - 
      40*T1^9*T2^3 - 4*T1^10*T2^3 + 28*T1^11*T2^3 - 75*T2^4 + 76*T1*T2^4 - 
      13*T1^2*T2^4 - 125*T1^3*T2^4 + 274*T1^4*T2^4 + 143*T1^5*T2^4 + 
      202*T1^6*T2^4 + 215*T1^7*T2^4 - 6*T1^8*T2^4 - 69*T1^9*T2^4 + 
      79*T1^10*T2^4 - 52*T1^11*T2^4 - 15*T1^12*T2^4 + 70*T2^5 - 40*T1*T2^5 + 
      35*T1^2*T2^5 - 65*T1^3*T2^5 + 143*T1^4*T2^5 - 654*T1^5*T2^5 + 
      11*T1^6*T2^5 - 413*T1^7*T2^5 - 126*T1^8*T2^5 + 155*T1^9*T2^5 - 
      75*T1^10*T2^5 - T1^11*T2^5 + 60*T1^12*T2^5 - 45*T2^6 - 44*T1*T2^6 + 
      95*T1^2*T2^6 - 143*T1^3*T2^6 + 202*T1^4*T2^6 + 11*T1^5*T2^6 + 
      837*T1^6*T2^6 - 263*T1^7*T2^6 + 649*T1^8*T2^6 - 309*T1^9*T2^6 + 
      36*T1^10*T2^6 + 37*T1^11*T2^6 - 45*T1^12*T2^6 - 36*T1^13*T2^6 + 
      9*T1^14*T2^6 + 20*T2^7 + 64*T1*T2^7 - 22*T1^2*T2^7 - 95*T1^3*T2^7 + 
      215*T1^4*T2^7 - 413*T1^5*T2^7 - 263*T1^6*T2^7 - 394*T1^7*T2^7 + 
      10*T1^8*T2^7 - 167*T1^9*T2^7 + 219*T1^10*T2^7 - 37*T1^11*T2^7 - 
      21*T1^12*T2^7 + 68*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 
      44*T1*T2^8 - 31*T1^2*T2^8 + 86*T1^3*T2^8 - 6*T1^4*T2^8 - 
      126*T1^5*T2^8 + 649*T1^6*T2^8 + 10*T1^7*T2^8 + 228*T1^8*T2^8 - 
      142*T1^9*T2^8 - 7*T1^10*T2^8 - 198*T1^11*T2^8 + 118*T1^12*T2^8 - 
      66*T1^13*T2^8 - 19*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 
      16*T1*T2^9 + 44*T1^2*T2^9 - 40*T1^3*T2^9 - 69*T1^4*T2^9 + 
      155*T1^5*T2^9 - 309*T1^6*T2^9 - 167*T1^7*T2^9 - 142*T1^8*T2^9 + 
      262*T1^9*T2^9 - 71*T1^10*T2^9 + 323*T1^11*T2^9 - 97*T1^12*T2^9 + 
      5*T1^13*T2^9 + 50*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 
      27*T1^2*T2^10 - 4*T1^3*T2^10 + 79*T1^4*T2^10 - 75*T1^5*T2^10 + 
      36*T1^6*T2^10 + 219*T1^7*T2^10 - 7*T1^8*T2^10 - 71*T1^9*T2^10 - 
      195*T1^10*T2^10 - 101*T1^11*T2^10 - 130*T1^12*T2^10 + 105*T1^13*T2^10 - 
      61*T1^14*T2^10 + 4*T1^15*T2^10 + 27*T1^16*T2^10 + 28*T1^3*T2^11 - 
      52*T1^4*T2^11 - T1^5*T2^11 + 37*T1^6*T2^11 - 37*T1^7*T2^11 - 
      198*T1^8*T2^11 + 323*T1^9*T2^11 - 101*T1^10*T2^11 + 330*T1^11*T2^11 - 
      25*T1^12*T2^11 + 27*T1^13*T2^11 - 37*T1^14*T2^11 + 48*T1^15*T2^11 - 
      42*T1^16*T2^11 - 15*T1^4*T2^12 + 60*T1^5*T2^12 - 45*T1^6*T2^12 - 
      21*T1^7*T2^12 + 118*T1^8*T2^12 - 97*T1^9*T2^12 - 130*T1^10*T2^12 - 
      25*T1^11*T2^12 - 162*T1^12*T2^12 + 35*T1^13*T2^12 + 47*T1^14*T2^12 - 
      68*T1^15*T2^12 + 45*T1^16*T2^12 - 36*T1^6*T2^13 + 68*T1^7*T2^13 - 
      66*T1^8*T2^13 + 5*T1^9*T2^13 + 105*T1^10*T2^13 + 27*T1^11*T2^13 + 
      35*T1^12*T2^13 + 96*T1^13*T2^13 - 130*T1^14*T2^13 + 96*T1^15*T2^13 - 
      42*T1^16*T2^13 + 9*T1^6*T2^14 - 4*T1^7*T2^14 - 19*T1^8*T2^14 + 
      50*T1^9*T2^14 - 61*T1^10*T2^14 - 37*T1^11*T2^14 + 47*T1^12*T2^14 - 
      130*T1^13*T2^14 + 125*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 
      8*T1^7*T2^15 + 20*T1^8*T2^15 - 24*T1^9*T2^15 + 4*T1^10*T2^15 + 
      48*T1^11*T2^15 - 68*T1^12*T2^15 + 96*T1^13*T2^15 - 76*T1^14*T2^15 + 
      40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      27*T1^10*T2^16 - 42*T1^11*T2^16 + 45*T1^12*T2^16 - 42*T1^13*T2^16 + 
      27*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[10, 95] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-33 + 147*T1 - 342*T1^2 + 439*T1^3 - 342*T1^4 + 147*T1^5 - 33*T1^6 + 
     147*T2 - 544*T1*T2 + 1030*T1^2*T2 - 810*T1^3*T2 + 54*T1^4*T2 + 
     490*T1^5*T2 - 346*T1^6*T2 + 111*T1^7*T2 - 342*T2^2 + 1030*T1*T2^2 - 
     1517*T1^2*T2^2 + 194*T1^3*T2^2 + 1261*T1^4*T2^2 - 1318*T1^5*T2^2 + 
     79*T1^6*T2^2 + 274*T1^7*T2^2 - 174*T1^8*T2^2 + 439*T2^3 - 810*T1*T2^3 + 
     194*T1^2*T2^3 + 2793*T1^3*T2^3 - 3334*T1^4*T2^3 + 878*T1^5*T2^3 + 
     1821*T1^6*T2^3 - 1129*T1^7*T2^3 + 270*T1^8*T2^3 + 115*T1^9*T2^3 - 
     342*T2^4 + 54*T1*T2^4 + 1261*T1^2*T2^4 - 3334*T1^3*T2^4 - 
     163*T1^4*T2^4 + 4951*T1^5*T2^4 - 5719*T1^6*T2^4 + 1364*T1^7*T2^4 + 
     415*T1^8*T2^4 - 486*T1^9*T2^4 - 6*T1^10*T2^4 + 147*T2^5 + 490*T1*T2^5 - 
     1318*T1^2*T2^5 + 878*T1^3*T2^5 + 4951*T1^4*T2^5 - 7572*T1^5*T2^5 + 
     3624*T1^6*T2^5 + 2494*T1^7*T2^5 - 2362*T1^8*T2^5 + 761*T1^9*T2^5 + 
     166*T1^10*T2^5 - 33*T1^11*T2^5 - 33*T2^6 - 346*T1*T2^6 + 79*T1^2*T2^6 + 
     1821*T1^3*T2^6 - 5719*T1^4*T2^6 + 3624*T1^5*T2^6 + 2880*T1^6*T2^6 - 
     6312*T1^7*T2^6 + 2795*T1^8*T2^6 + 39*T1^9*T2^6 - 569*T1^10*T2^6 + 
     86*T1^11*T2^6 + 15*T1^12*T2^6 + 111*T1*T2^7 + 274*T1^2*T2^7 - 
     1129*T1^3*T2^7 + 1364*T1^4*T2^7 + 2494*T1^5*T2^7 - 6312*T1^6*T2^7 + 
     4884*T1^7*T2^7 + 37*T1^8*T2^7 - 1876*T1^9*T2^7 + 950*T1^10*T2^7 - 
     50*T1^11*T2^7 - 69*T1^12*T2^7 - 174*T1^2*T2^8 + 270*T1^3*T2^8 + 
     415*T1^4*T2^8 - 2362*T1^5*T2^8 + 2795*T1^6*T2^8 + 37*T1^7*T2^8 - 
     2761*T1^8*T2^8 + 2336*T1^9*T2^8 - 431*T1^10*T2^8 - 270*T1^11*T2^8 + 
     162*T1^12*T2^8 + 115*T1^3*T2^9 - 486*T1^4*T2^9 + 761*T1^5*T2^9 + 
     39*T1^6*T2^9 - 1876*T1^7*T2^9 + 2336*T1^8*T2^9 - 933*T1^9*T2^9 - 
     562*T1^10*T2^9 + 594*T1^11*T2^9 - 209*T1^12*T2^9 - 6*T1^4*T2^10 + 
     166*T1^5*T2^10 - 569*T1^6*T2^10 + 950*T1^7*T2^10 - 431*T1^8*T2^10 - 
     562*T1^9*T2^10 + 1027*T1^10*T2^10 - 590*T1^11*T2^10 + 162*T1^12*T2^10 - 
     33*T1^5*T2^11 + 86*T1^6*T2^11 - 50*T1^7*T2^11 - 270*T1^8*T2^11 + 
     594*T1^9*T2^11 - 590*T1^10*T2^11 + 284*T1^11*T2^11 - 69*T1^12*T2^11 + 
     15*T1^6*T2^12 - 69*T1^7*T2^12 + 162*T1^8*T2^12 - 209*T1^9*T2^12 + 
     162*T1^10*T2^12 - 69*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 96] -> 
  {-((1 - 7*T + 22*T^2 - 33*T^3 + 22*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 66*T1^2 + 99*T1^3 - 66*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 364*T1^2*T2 - 385*T1^3*T2 + 161*T1^5*T2 - 77*T1^6*T2 + 
      14*T1^7*T2 - 66*T2^2 + 364*T1*T2^2 - 789*T1^2*T2^2 + 168*T1^3*T2^2 + 
      1323*T1^4*T2^2 - 976*T1^5*T2^2 + 135*T1^6*T2^2 + 56*T1^7*T2^2 - 
      22*T1^8*T2^2 + 99*T2^3 - 385*T1*T2^3 + 168*T1^2*T2^3 + 2517*T1^3*T2^3 - 
      4708*T1^4*T2^3 + 891*T1^5*T2^3 + 1417*T1^6*T2^3 - 778*T1^7*T2^3 + 
      154*T1^8*T2^3 - 66*T2^4 + 1323*T1^2*T2^4 - 4708*T1^3*T2^4 + 
      2882*T1^4*T2^4 + 7112*T1^5*T2^4 - 7282*T1^6*T2^4 + 2090*T1^7*T2^4 + 
      25*T1^8*T2^4 - 154*T1^9*T2^4 + 22*T1^10*T2^4 + 21*T2^5 + 161*T1*T2^5 - 
      976*T1^2*T2^5 + 891*T1^3*T2^5 + 7112*T1^4*T2^5 - 17421*T1^5*T2^5 + 
      9391*T1^6*T2^5 + 996*T1^7*T2^5 - 2310*T1^8*T2^5 + 762*T1^9*T2^5 - 
      56*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 77*T1*T2^6 + 135*T1^2*T2^6 + 
      1417*T1^3*T2^6 - 7282*T1^4*T2^6 + 9391*T1^5*T2^6 + 3432*T1^6*T2^6 - 
      11703*T1^7*T2^6 + 6710*T1^8*T2^6 - 1245*T1^9*T2^6 - 137*T1^10*T2^6 + 
      77*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 56*T1^2*T2^7 - 
      778*T1^3*T2^7 + 2090*T1^4*T2^7 + 996*T1^5*T2^7 - 11703*T1^6*T2^7 + 
      15109*T1^7*T2^7 - 5120*T1^8*T2^7 - 1111*T1^9*T2^7 + 960*T1^10*T2^7 - 
      161*T1^11*T2^7 - 21*T1^12*T2^7 - 22*T1^2*T2^8 + 154*T1^3*T2^8 + 
      25*T1^4*T2^8 - 2310*T1^5*T2^8 + 6710*T1^6*T2^8 - 5120*T1^7*T2^8 - 
      3454*T1^8*T2^8 + 4488*T1^9*T2^8 - 1273*T1^10*T2^8 + 66*T1^12*T2^8 - 
      154*T1^4*T2^9 + 762*T1^5*T2^9 - 1245*T1^6*T2^9 - 1111*T1^7*T2^9 + 
      4488*T1^8*T2^9 - 2345*T1^9*T2^9 - 184*T1^10*T2^9 + 385*T1^11*T2^9 - 
      99*T1^12*T2^9 + 22*T1^4*T2^10 - 56*T1^5*T2^10 - 137*T1^6*T2^10 + 
      960*T1^7*T2^10 - 1273*T1^8*T2^10 - 184*T1^9*T2^10 + 787*T1^10*T2^10 - 
      364*T1^11*T2^10 + 66*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 
      161*T1^7*T2^11 + 385*T1^9*T2^11 - 364*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 66*T1^8*T2^12 - 
      99*T1^9*T2^12 + 66*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 97] -> 
  {-((5 - 22*T + 33*T^2 - 22*T^3 + 5*T^4)/T^2), 
   -((-395 + 1735*T1 - 2593*T1^2 + 1735*T1^3 - 395*T1^4 + 1735*T2 - 
      6442*T1*T2 + 6199*T1^2*T2 + 149*T1^3*T2 - 3472*T1^4*T2 + 1185*T1^5*T2 - 
      2593*T2^2 + 6199*T1*T2^2 + 4820*T1^2*T2^2 - 18544*T1^3*T2^2 + 
      14060*T1^4*T2^2 - 1061*T1^5*T2^2 - 943*T1^6*T2^2 + 1735*T2^3 + 
      149*T1*T2^3 - 18544*T1^2*T2^3 + 25288*T1^3*T2^3 - 5732*T1^4*T2^3 - 
      9832*T1^5*T2^3 + 3779*T1^6*T2^3 + 85*T1^7*T2^3 - 395*T2^4 - 
      3472*T1*T2^4 + 14060*T1^2*T2^4 - 5732*T1^3*T2^4 - 16188*T1^4*T2^4 + 
      19172*T1^5*T2^4 - 3936*T1^6*T2^4 - 832*T1^7*T2^4 + 105*T1^8*T2^4 + 
      1185*T1*T2^5 - 1061*T1^2*T2^5 - 9832*T1^3*T2^5 + 19172*T1^4*T2^5 - 
      11848*T1^5*T2^5 - 1120*T1^6*T2^5 + 2569*T1^7*T2^5 - 465*T1^8*T2^5 - 
      943*T1^2*T2^6 + 3779*T1^3*T2^6 - 3936*T1^4*T2^6 - 1120*T1^5*T2^6 + 
      5304*T1^6*T2^6 - 3481*T1^7*T2^6 + 707*T1^8*T2^6 + 85*T1^3*T2^7 - 
      832*T1^4*T2^7 + 2569*T1^5*T2^7 - 3481*T1^6*T2^7 + 2138*T1^7*T2^7 - 
      465*T1^8*T2^7 + 105*T1^4*T2^8 - 465*T1^5*T2^8 + 707*T1^6*T2^8 - 
      465*T1^7*T2^8 + 105*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 98] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-7 + 26*T1 - 35*T1^2 + 26*T1^3 - 7*T1^4 + 26*T2 - 106*T1*T2 + 
       158*T1^2*T2 - 130*T1^3*T2 + 56*T1^4*T2 - 10*T1^5*T2 - 35*T2^2 + 
       158*T1*T2^2 - 185*T1^2*T2^2 - 5*T1^3*T2^2 + 193*T1^4*T2^2 - 
       220*T1^5*T2^2 + 73*T1^6*T2^2 + 26*T2^3 - 130*T1*T2^3 - 5*T1^2*T2^3 + 
       490*T1^3*T2^3 - 644*T1^4*T2^3 + 373*T1^5*T2^3 + 116*T1^6*T2^3 - 
       106*T1^7*T2^3 - 7*T2^4 + 56*T1*T2^4 + 193*T1^2*T2^4 - 644*T1^3*T2^4 + 
       264*T1^4*T2^4 + 364*T1^5*T2^4 - 767*T1^6*T2^4 + 224*T1^7*T2^4 + 
       41*T1^8*T2^4 - 10*T1*T2^5 - 220*T1^2*T2^5 + 373*T1^3*T2^5 + 
       364*T1^4*T2^5 - 770*T1^5*T2^5 + 751*T1^6*T2^5 + 26*T1^7*T2^5 - 
       142*T1^8*T2^5 + 73*T1^2*T2^6 + 116*T1^3*T2^6 - 767*T1^4*T2^6 + 
       751*T1^5*T2^6 - 389*T1^6*T2^6 - 262*T1^7*T2^6 + 181*T1^8*T2^6 - 
       106*T1^3*T2^7 + 224*T1^4*T2^7 + 26*T1^5*T2^7 - 262*T1^6*T2^7 + 
       386*T1^7*T2^7 - 142*T1^8*T2^7 + 41*T1^4*T2^8 - 142*T1^5*T2^8 + 
       181*T1^6*T2^8 - 142*T1^7*T2^8 + 41*T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 99] -> 
  {(1 - T + T^2)^4/T^4, (4*(1 - T1 + T1^2)^4*(1 + T1*T2)*(1 - T2 + T2^2)^4*
     (1 - T1*T2 + T1^2*T2^2)^3)/(T1^9*T2^8)}, 
 Knot[10, 100] -> {((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*
     (1 - T + T^2 - T^3 + T^4))/T^4, (-2 + 8*T1 - 18*T1^2 + 24*T1^3 - 
     26*T1^4 + 24*T1^5 - 18*T1^6 + 8*T1^7 - 2*T1^8 + 8*T2 - 28*T1*T2 + 
     56*T1^2*T2 - 60*T1^3*T2 + 56*T1^4*T2 - 44*T1^5*T2 + 24*T1^6*T2 + 
     4*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 18*T2^2 + 56*T1*T2^2 - 
     101*T1^2*T2^2 + 82*T1^3*T2^2 - 62*T1^4*T2^2 + 31*T1^5*T2^2 + 
     10*T1^6*T2^2 - 62*T1^7*T2^2 + 43*T1^8*T2^2 - 16*T1^9*T2^2 + 24*T2^3 - 
     60*T1*T2^3 + 82*T1^2*T2^3 + 4*T1^3*T2^3 - 43*T1^4*T2^3 + 64*T1^5*T2^3 - 
     80*T1^6*T2^3 + 101*T1^7*T2^3 + 4*T1^8*T2^3 - 62*T1^9*T2^3 + 
     48*T1^10*T2^3 - 12*T1^11*T2^3 - 26*T2^4 + 56*T1*T2^4 - 62*T1^2*T2^4 - 
     43*T1^3*T2^4 + 29*T1^4*T2^4 + 19*T1^5*T2^4 - 17*T1^6*T2^4 - 
     13*T1^7*T2^4 - 115*T1^8*T2^4 + 101*T1^9*T2^4 + 22*T1^10*T2^4 - 
     56*T1^11*T2^4 + 26*T1^12*T2^4 + 24*T2^5 - 44*T1*T2^5 + 31*T1^2*T2^5 + 
     64*T1^3*T2^5 + 19*T1^4*T2^5 - 138*T1^5*T2^5 + 106*T1^6*T2^5 - 
     98*T1^7*T2^5 + 258*T1^8*T2^5 - 137*T1^9*T2^5 - 80*T1^10*T2^5 + 
     7*T1^11*T2^5 + 40*T1^12*T2^5 - 36*T1^13*T2^5 - 18*T2^6 + 24*T1*T2^6 + 
     10*T1^2*T2^6 - 80*T1^3*T2^6 - 17*T1^4*T2^6 + 106*T1^5*T2^6 + 
     56*T1^6*T2^6 - 18*T1^7*T2^6 - 112*T1^8*T2^6 - 110*T1^9*T2^6 + 
     253*T1^10*T2^6 + 64*T1^11*T2^6 - 38*T1^12*T2^6 + 36*T1^14*T2^6 + 
     8*T2^7 + 4*T1*T2^7 - 62*T1^2*T2^7 + 101*T1^3*T2^7 - 13*T1^4*T2^7 - 
     98*T1^5*T2^7 - 18*T1^6*T2^7 - 294*T1^7*T2^7 + 410*T1^8*T2^7 - 
     162*T1^9*T2^7 + 82*T1^10*T2^7 - 353*T1^11*T2^7 - 43*T1^12*T2^7 + 
     82*T1^13*T2^7 - 64*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 
     43*T1^2*T2^8 + 4*T1^3*T2^8 - 115*T1^4*T2^8 + 258*T1^5*T2^8 - 
     112*T1^6*T2^8 + 410*T1^7*T2^8 - 108*T1^8*T2^8 - 294*T1^9*T2^8 + 
     392*T1^10*T2^8 - 174*T1^11*T2^8 + 601*T1^12*T2^8 - 236*T1^13*T2^8 + 
     55*T1^14*T2^8 + 56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 
     16*T1^2*T2^9 - 62*T1^3*T2^9 + 101*T1^4*T2^9 - 137*T1^5*T2^9 - 
     110*T1^6*T2^9 - 162*T1^7*T2^9 - 294*T1^8*T2^9 + 410*T1^9*T2^9 - 
     306*T1^10*T2^9 + 70*T1^11*T2^9 - 477*T1^12*T2^9 - 43*T1^13*T2^9 + 
     82*T1^14*T2^9 - 84*T1^15*T2^9 - 24*T1^16*T2^9 + 48*T1^3*T2^10 + 
     22*T1^4*T2^10 - 80*T1^5*T2^10 + 253*T1^6*T2^10 + 82*T1^7*T2^10 + 
     392*T1^8*T2^10 - 306*T1^9*T2^10 + 224*T1^10*T2^10 - 134*T1^11*T2^10 + 
     523*T1^12*T2^10 + 64*T1^13*T2^10 - 26*T1^14*T2^10 + 24*T1^15*T2^10 + 
     54*T1^16*T2^10 - 12*T1^3*T2^11 - 56*T1^4*T2^11 + 7*T1^5*T2^11 + 
     64*T1^6*T2^11 - 353*T1^7*T2^11 - 174*T1^8*T2^11 + 70*T1^9*T2^11 - 
     134*T1^10*T2^11 + 222*T1^11*T2^11 - 509*T1^12*T2^11 - 80*T1^13*T2^11 - 
     17*T1^14*T2^11 + 28*T1^15*T2^11 - 72*T1^16*T2^11 + 26*T1^4*T2^12 + 
     40*T1^5*T2^12 - 38*T1^6*T2^12 - 43*T1^7*T2^12 + 601*T1^8*T2^12 - 
     477*T1^9*T2^12 + 523*T1^10*T2^12 - 509*T1^11*T2^12 + 457*T1^12*T2^12 + 
     101*T1^13*T2^12 + 46*T1^14*T2^12 - 72*T1^15*T2^12 + 78*T1^16*T2^12 - 
     36*T1^5*T2^13 + 82*T1^7*T2^13 - 236*T1^8*T2^13 - 43*T1^9*T2^13 + 
     64*T1^10*T2^13 - 80*T1^11*T2^13 + 101*T1^12*T2^13 - 236*T1^13*T2^13 - 
     62*T1^14*T2^13 + 108*T1^15*T2^13 - 72*T1^16*T2^13 + 36*T1^6*T2^14 - 
     64*T1^7*T2^14 + 55*T1^8*T2^14 + 82*T1^9*T2^14 - 26*T1^10*T2^14 - 
     17*T1^11*T2^14 + 46*T1^12*T2^14 - 62*T1^13*T2^14 + 199*T1^14*T2^14 - 
     136*T1^15*T2^14 + 54*T1^16*T2^14 - 20*T1^7*T2^15 + 56*T1^8*T2^15 - 
     84*T1^9*T2^15 + 24*T1^10*T2^15 + 28*T1^11*T2^15 - 72*T1^12*T2^15 + 
     108*T1^13*T2^15 - 136*T1^14*T2^15 + 76*T1^15*T2^15 - 24*T1^16*T2^15 + 
     6*T1^8*T2^16 - 24*T1^9*T2^16 + 54*T1^10*T2^16 - 72*T1^11*T2^16 + 
     78*T1^12*T2^16 - 72*T1^13*T2^16 + 54*T1^14*T2^16 - 24*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 101] -> {(7 - 21*T + 29*T^2 - 21*T^3 + 7*T^4)/T^2, 
   -((1463 - 4333*T1 + 5967*T1^2 - 4333*T1^3 + 1463*T1^4 - 4333*T2 + 
      9567*T1*T2 - 7955*T1^2*T2 - 605*T1^3*T2 + 5451*T1^4*T2 - 3304*T1^5*T2 + 
      5967*T2^2 - 7955*T1*T2^2 - 1628*T1^2*T2^2 + 13358*T1^3*T2^2 - 
      10560*T1^4*T2^2 + 571*T1^5*T2^2 + 3125*T1^6*T2^2 - 4333*T2^3 - 
      605*T1*T2^3 + 13358*T1^2*T2^3 - 16518*T1^3*T2^3 + 1584*T1^4*T2^3 + 
      9095*T1^5*T2^3 - 5603*T1^6*T2^3 - 1246*T1^7*T2^3 + 1463*T2^4 + 
      5451*T1*T2^4 - 10560*T1^2*T2^4 + 1584*T1^3*T2^4 + 14184*T1^4*T2^4 - 
      13704*T1^5*T2^4 + 2278*T1^6*T2^4 + 3393*T1^7*T2^4 + 91*T1^8*T2^4 - 
      3304*T1*T2^5 + 571*T1^2*T2^5 + 9095*T1^3*T2^5 - 13704*T1^4*T2^5 + 
      4398*T1^5*T2^5 + 4832*T1^6*T2^5 - 4427*T1^7*T2^5 - 217*T1^8*T2^5 + 
      3125*T1^2*T2^6 - 5603*T1^3*T2^6 + 2278*T1^4*T2^6 + 4832*T1^5*T2^6 - 
      6654*T1^6*T2^6 + 2923*T1^7*T2^6 + 283*T1^8*T2^6 - 1246*T1^3*T2^7 + 
      3393*T1^4*T2^7 - 4427*T1^5*T2^7 + 2923*T1^6*T2^7 - 723*T1^7*T2^7 - 
      217*T1^8*T2^7 + 91*T1^4*T2^8 - 217*T1^5*T2^8 + 283*T1^6*T2^8 - 
      217*T1^7*T2^8 + 91*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 102] -> {-((2 - 8*T + 16*T^2 - 21*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/
     T^3), -((-25 + 100*T1 - 200*T1^2 + 263*T1^3 - 200*T1^4 + 100*T1^5 - 
      25*T1^6 + 100*T2 - 332*T1*T2 + 528*T1^2*T2 - 508*T1^3*T2 + 84*T1^4*T2 + 
      144*T1^5*T2 - 172*T1^6*T2 + 68*T1^7*T2 - 200*T2^2 + 528*T1*T2^2 - 
      584*T1^2*T2^2 + 224*T1^3*T2^2 + 672*T1^4*T2^2 - 608*T1^5*T2^2 + 
      312*T1^6*T2^2 + 16*T1^7*T2^2 - 72*T1^8*T2^2 + 263*T2^3 - 508*T1*T2^3 + 
      224*T1^2*T2^3 + 400*T1^3*T2^3 - 1332*T1^4*T2^3 + 380*T1^5*T2^3 + 
      226*T1^6*T2^3 - 512*T1^7*T2^3 + 244*T1^8*T2^3 + 11*T1^9*T2^3 - 
      200*T2^4 + 84*T1*T2^4 + 672*T1^2*T2^4 - 1332*T1^3*T2^4 + 
      1666*T1^4*T2^4 + 380*T1^5*T2^4 - 910*T1^6*T2^4 + 684*T1^7*T2^4 + 
      32*T1^8*T2^4 - 268*T1^9*T2^4 + 56*T1^10*T2^4 + 100*T2^5 + 144*T1*T2^5 - 
      608*T1^2*T2^5 + 380*T1^3*T2^5 + 380*T1^4*T2^5 - 2420*T1^5*T2^5 + 
      1596*T1^6*T2^5 - 132*T1^7*T2^5 - 724*T1^8*T2^5 + 512*T1^9*T2^5 + 
      16*T1^10*T2^5 - 60*T1^11*T2^5 - 25*T2^6 - 172*T1*T2^6 + 312*T1^2*T2^6 + 
      226*T1^3*T2^6 - 910*T1^4*T2^6 + 1596*T1^5*T2^6 + 204*T1^6*T2^6 - 
      1668*T1^7*T2^6 + 1266*T1^8*T2^6 - 278*T1^9*T2^6 - 328*T1^10*T2^6 + 
      148*T1^11*T2^6 + 23*T1^12*T2^6 + 68*T1*T2^7 + 16*T1^2*T2^7 - 
      512*T1^3*T2^7 + 684*T1^4*T2^7 - 132*T1^5*T2^7 - 1668*T1^6*T2^7 + 
      2348*T1^7*T2^7 - 644*T1^8*T2^7 - 420*T1^9*T2^7 + 608*T1^10*T2^7 - 
      112*T1^11*T2^7 - 92*T1^12*T2^7 - 72*T1^2*T2^8 + 244*T1^3*T2^8 + 
      32*T1^4*T2^8 - 724*T1^5*T2^8 + 1266*T1^6*T2^8 - 644*T1^7*T2^8 - 
      1310*T1^8*T2^8 + 1292*T1^9*T2^8 - 608*T1^10*T2^8 - 108*T1^11*T2^8 + 
      184*T1^12*T2^8 + 11*T1^3*T2^9 - 268*T1^4*T2^9 + 512*T1^5*T2^9 - 
      278*T1^6*T2^9 - 420*T1^7*T2^9 + 1292*T1^8*T2^9 - 452*T1^9*T2^9 - 
      224*T1^10*T2^9 + 484*T1^11*T2^9 - 241*T1^12*T2^9 + 56*T1^4*T2^10 + 
      16*T1^5*T2^10 - 328*T1^6*T2^10 + 608*T1^7*T2^10 - 608*T1^8*T2^10 - 
      224*T1^9*T2^10 + 568*T1^10*T2^10 - 496*T1^11*T2^10 + 184*T1^12*T2^10 - 
      60*T1^5*T2^11 + 148*T1^6*T2^11 - 112*T1^7*T2^11 - 108*T1^8*T2^11 + 
      484*T1^9*T2^11 - 496*T1^10*T2^11 + 308*T1^11*T2^11 - 92*T1^12*T2^11 + 
      23*T1^6*T2^12 - 92*T1^7*T2^12 + 184*T1^8*T2^12 - 241*T1^9*T2^12 + 
      184*T1^10*T2^12 - 92*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 103] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-15 + 60*T1 - 128*T1^2 + 159*T1^3 - 128*T1^4 + 60*T1^5 - 15*T1^6 + 
     60*T2 - 212*T1*T2 + 400*T1^2*T2 - 396*T1^3*T2 + 212*T1^4*T2 - 
     52*T1^6*T2 + 28*T1^7*T2 - 128*T2^2 + 400*T1*T2^2 - 650*T1^2*T2^2 + 
     410*T1^3*T2^2 + 102*T1^4*T2^2 - 474*T1^5*T2^2 + 370*T1^6*T2^2 - 
     144*T1^7*T2^2 + 8*T1^8*T2^2 + 159*T2^3 - 396*T1*T2^3 + 410*T1^2*T2^3 + 
     316*T1^3*T2^3 - 1028*T1^4*T2^3 + 990*T1^5*T2^3 - 186*T1^6*T2^3 - 
     372*T1^7*T2^3 + 340*T1^8*T2^3 - 93*T1^9*T2^3 - 128*T2^4 + 212*T1*T2^4 + 
     102*T1^2*T2^4 - 1028*T1^3*T2^4 + 1292*T1^4*T2^4 - 226*T1^5*T2^4 - 
     1036*T1^6*T2^4 + 1156*T1^7*T2^4 - 274*T1^8*T2^4 - 204*T1^9*T2^4 + 
     144*T1^10*T2^4 + 60*T2^5 - 474*T1^2*T2^5 + 990*T1^3*T2^5 - 
     226*T1^4*T2^5 - 1795*T1^5*T2^5 + 2371*T1^6*T2^5 - 1127*T1^7*T2^5 - 
     696*T1^8*T2^5 + 716*T1^9*T2^5 - 176*T1^10*T2^5 - 100*T1^11*T2^5 - 
     15*T2^6 - 52*T1*T2^6 + 370*T1^2*T2^6 - 186*T1^3*T2^6 - 1036*T1^4*T2^6 + 
     2371*T1^5*T2^6 - 780*T1^6*T2^6 - 1495*T1^7*T2^6 + 2666*T1^8*T2^6 - 
     962*T1^9*T2^6 - 114*T1^10*T2^6 + 268*T1^11*T2^6 + 33*T1^12*T2^6 + 
     28*T1*T2^7 - 144*T1^2*T2^7 - 372*T1^3*T2^7 + 1156*T1^4*T2^7 - 
     1127*T1^5*T2^7 - 1495*T1^6*T2^7 + 2671*T1^7*T2^7 - 2028*T1^8*T2^7 - 
     530*T1^9*T2^7 + 818*T1^10*T2^7 - 320*T1^11*T2^7 - 132*T1^12*T2^7 + 
     8*T1^2*T2^8 + 340*T1^3*T2^8 - 274*T1^4*T2^8 - 696*T1^5*T2^8 + 
     2666*T1^6*T2^8 - 2028*T1^7*T2^8 + 338*T1^8*T2^8 + 1488*T1^9*T2^8 - 
     650*T1^10*T2^8 - 76*T1^11*T2^8 + 280*T1^12*T2^8 - 93*T1^3*T2^9 - 
     204*T1^4*T2^9 + 716*T1^5*T2^9 - 962*T1^6*T2^9 - 530*T1^7*T2^9 + 
     1488*T1^8*T2^9 - 1464*T1^9*T2^9 - 66*T1^10*T2^9 + 532*T1^11*T2^9 - 
     345*T1^12*T2^9 + 144*T1^4*T2^10 - 176*T1^5*T2^10 - 114*T1^6*T2^10 + 
     818*T1^7*T2^10 - 650*T1^8*T2^10 - 66*T1^9*T2^10 + 906*T1^10*T2^10 - 
     720*T1^11*T2^10 + 280*T1^12*T2^10 - 100*T1^5*T2^11 + 268*T1^6*T2^11 - 
     320*T1^7*T2^11 - 76*T1^8*T2^11 + 532*T1^9*T2^11 - 720*T1^10*T2^11 + 
     428*T1^11*T2^11 - 132*T1^12*T2^11 + 33*T1^6*T2^12 - 132*T1^7*T2^12 + 
     280*T1^8*T2^12 - 345*T1^9*T2^12 + 280*T1^10*T2^12 - 132*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 104] -> {(1 - 4*T + 9*T^2 - 15*T^3 + 19*T^4 - 15*T^5 + 9*T^6 - 
     4*T^7 + T^8)/T^4, (-4 + 16*T1 - 36*T1^2 + 60*T1^3 - 76*T1^4 + 60*T1^5 - 
     36*T1^6 + 16*T1^7 - 4*T1^8 + 16*T2 - 52*T1*T2 + 96*T1^2*T2 - 
     132*T1^3*T2 + 124*T1^4*T2 - 12*T1^5*T2 - 36*T1^6*T2 + 44*T1^7*T2 - 
     32*T1^8*T2 + 12*T1^9*T2 - 36*T2^2 + 96*T1*T2^2 - 149*T1^2*T2^2 + 
     178*T1^3*T2^2 - 124*T1^4*T2^2 - 103*T1^5*T2^2 + 56*T1^6*T2^2 - 
     20*T1^7*T2^2 - 5*T1^8*T2^2 + 24*T1^9*T2^2 - 18*T1^10*T2^2 + 60*T2^3 - 
     132*T1*T2^3 + 178*T1^2*T2^3 - 201*T1^3*T2^3 + 112*T1^4*T2^3 + 
     203*T1^5*T2^3 + 59*T1^6*T2^3 - 59*T1^7*T2^3 + 51*T1^8*T2^3 - 
     47*T1^9*T2^3 + 12*T1^10*T2^3 + 15*T1^11*T2^3 - 76*T2^4 + 124*T1*T2^4 - 
     124*T1^2*T2^4 + 112*T1^3*T2^4 + 35*T1^4*T2^4 - 401*T1^5*T2^4 - 
     139*T1^6*T2^4 - 37*T1^7*T2^4 + 83*T1^8*T2^4 - 68*T1^9*T2^4 + 
     80*T1^10*T2^4 - 60*T1^11*T2^4 + 60*T2^5 - 12*T1*T2^5 - 103*T1^2*T2^5 + 
     203*T1^3*T2^5 - 401*T1^4*T2^5 + 610*T1^5*T2^5 + 270*T1^6*T2^5 + 
     177*T1^7*T2^5 - 194*T1^8*T2^5 + 67*T1^9*T2^5 - 49*T1^10*T2^5 - 
     T1^11*T2^5 + 60*T1^12*T2^5 - 15*T1^13*T2^5 - 36*T2^6 - 36*T1*T2^6 + 
     56*T1^2*T2^6 + 59*T1^3*T2^6 - 139*T1^4*T2^6 + 270*T1^5*T2^6 - 
     994*T1^6*T2^6 - 116*T1^7*T2^6 + 218*T1^8*T2^6 + 18*T1^9*T2^6 + 
     23*T1^10*T2^6 + 41*T1^11*T2^6 - 76*T1^12*T2^6 - 12*T1^13*T2^6 + 
     18*T1^14*T2^6 + 16*T2^7 + 44*T1*T2^7 - 20*T1^2*T2^7 - 59*T1^3*T2^7 - 
     37*T1^4*T2^7 + 177*T1^5*T2^7 - 116*T1^6*T2^7 + 1326*T1^7*T2^7 - 
     844*T1^8*T2^7 + 37*T1^9*T2^7 - 48*T1^10*T2^7 - 89*T1^11*T2^7 + 
     76*T1^12*T2^7 + 43*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 
     32*T1*T2^8 - 5*T1^2*T2^8 + 51*T1^3*T2^8 + 83*T1^4*T2^8 - 194*T1^5*T2^8 + 
     218*T1^6*T2^8 - 844*T1^7*T2^8 + 828*T1^9*T2^8 - 268*T1^10*T2^8 + 
     250*T1^11*T2^8 - 89*T1^12*T2^8 - 51*T1^13*T2^8 + 7*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 
     47*T1^3*T2^9 - 68*T1^4*T2^9 + 67*T1^5*T2^9 + 18*T1^6*T2^9 + 
     37*T1^7*T2^9 + 828*T1^8*T2^9 - 1342*T1^9*T2^9 + 190*T1^10*T2^9 - 
     207*T1^11*T2^9 + 15*T1^12*T2^9 + 67*T1^13*T2^9 + 16*T1^14*T2^9 - 
     44*T1^15*T2^9 - 16*T1^16*T2^9 - 18*T1^2*T2^10 + 12*T1^3*T2^10 + 
     80*T1^4*T2^10 - 49*T1^5*T2^10 + 23*T1^6*T2^10 - 48*T1^7*T2^10 - 
     268*T1^8*T2^10 + 190*T1^9*T2^10 + 944*T1^10*T2^10 - 300*T1^11*T2^10 + 
     185*T1^12*T2^10 - 67*T1^13*T2^10 - 52*T1^14*T2^10 + 36*T1^15*T2^10 + 
     36*T1^16*T2^10 + 15*T1^3*T2^11 - 60*T1^4*T2^11 - T1^5*T2^11 + 
     41*T1^6*T2^11 - 89*T1^7*T2^11 + 250*T1^8*T2^11 - 207*T1^9*T2^11 - 
     300*T1^10*T2^11 - 554*T1^11*T2^11 + 379*T1^12*T2^11 - 211*T1^13*T2^11 + 
     101*T1^14*T2^11 + 12*T1^15*T2^11 - 60*T1^16*T2^11 + 60*T1^5*T2^12 - 
     76*T1^6*T2^12 + 76*T1^7*T2^12 - 89*T1^8*T2^12 + 15*T1^9*T2^12 + 
     185*T1^10*T2^12 + 379*T1^11*T2^12 - 41*T1^12*T2^12 - 104*T1^13*T2^12 + 
     128*T1^14*T2^12 - 124*T1^15*T2^12 + 76*T1^16*T2^12 - 15*T1^5*T2^13 - 
     12*T1^6*T2^13 + 43*T1^7*T2^13 - 51*T1^8*T2^13 + 67*T1^9*T2^13 - 
     67*T1^10*T2^13 - 211*T1^11*T2^13 - 104*T1^12*T2^13 + 201*T1^13*T2^13 - 
     182*T1^14*T2^13 + 132*T1^15*T2^13 - 60*T1^16*T2^13 + 18*T1^6*T2^14 - 
     24*T1^7*T2^14 + 7*T1^8*T2^14 + 16*T1^9*T2^14 - 52*T1^10*T2^14 + 
     101*T1^11*T2^14 + 128*T1^12*T2^14 - 182*T1^13*T2^14 + 151*T1^14*T2^14 - 
     96*T1^15*T2^14 + 36*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     44*T1^9*T2^15 + 36*T1^10*T2^15 + 12*T1^11*T2^15 - 124*T1^12*T2^15 + 
     132*T1^13*T2^15 - 96*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 
     76*T1^12*T2^16 - 60*T1^13*T2^16 + 36*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 105] -> {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 88*T1^2 + 116*T1^3 - 88*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 511*T1^2*T2 - 399*T1^3*T2 + 9*T1^4*T2 + 271*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 88*T2^2 + 511*T1*T2^2 - 452*T1^2*T2^2 - 
     1265*T1^3*T2^2 + 2580*T1^4*T2^2 - 2189*T1^5*T2^2 + 472*T1^6*T2^2 + 
     159*T1^7*T2^2 - 44*T1^8*T2^2 + 116*T2^3 - 399*T1*T2^3 - 1265*T1^2*T2^3 + 
     5279*T1^3*T2^3 - 5153*T1^4*T2^3 + 1213*T1^5*T2^3 + 2609*T1^6*T2^3 - 
     1595*T1^7*T2^3 + 121*T1^8*T2^3 + 29*T1^9*T2^3 - 88*T2^4 + 9*T1*T2^4 + 
     2580*T1^2*T2^4 - 5153*T1^3*T2^4 - 773*T1^4*T2^4 + 7759*T1^5*T2^4 - 
     8669*T1^6*T2^4 + 2039*T1^7*T2^4 + 804*T1^8*T2^4 - 231*T1^9*T2^4 + 
     32*T2^5 + 271*T1*T2^5 - 2189*T1^2*T2^5 + 1213*T1^3*T2^5 + 
     7759*T1^4*T2^5 - 11436*T1^5*T2^5 + 5622*T1^6*T2^5 + 3579*T1^7*T2^5 - 
     3501*T1^8*T2^5 + 517*T1^9*T2^5 + 63*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 472*T1^2*T2^6 + 2609*T1^3*T2^6 - 8669*T1^4*T2^6 + 
     5622*T1^5*T2^6 + 3996*T1^6*T2^6 - 9378*T1^7*T2^6 + 4367*T1^8*T2^6 + 
     323*T1^9*T2^6 - 476*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 159*T1^2*T2^7 - 1595*T1^3*T2^7 + 2039*T1^4*T2^7 + 
     3579*T1^5*T2^7 - 9378*T1^6*T2^7 + 7680*T1^7*T2^7 - 601*T1^8*T2^7 - 
     2675*T1^9*T2^7 + 1111*T1^10*T2^7 - 49*T1^11*T2^7 - 16*T1^12*T2^7 - 
     44*T1^2*T2^8 + 121*T1^3*T2^8 + 804*T1^4*T2^8 - 3501*T1^5*T2^8 + 
     4367*T1^6*T2^8 - 601*T1^7*T2^8 - 3529*T1^8*T2^8 + 3691*T1^9*T2^8 - 
     972*T1^10*T2^8 - 119*T1^11*T2^8 + 44*T1^12*T2^8 + 29*T1^3*T2^9 - 
     231*T1^4*T2^9 + 517*T1^5*T2^9 + 323*T1^6*T2^9 - 2675*T1^7*T2^9 + 
     3691*T1^8*T2^9 - 2347*T1^9*T2^9 + 187*T1^10*T2^9 + 289*T1^11*T2^9 - 
     58*T1^12*T2^9 + 63*T1^5*T2^10 - 476*T1^6*T2^10 + 1111*T1^7*T2^10 - 
     972*T1^8*T2^10 + 187*T1^9*T2^10 + 448*T1^10*T2^10 - 289*T1^11*T2^10 + 
     44*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 49*T1^7*T2^11 - 
     119*T1^8*T2^11 + 289*T1^9*T2^11 - 289*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 44*T1^8*T2^12 - 
     58*T1^9*T2^12 + 44*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 106] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((-5 + 20*T1 - 45*T1^2 + 75*T1^3 - 85*T1^4 + 75*T1^5 - 45*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 156*T1^3*T2 + 
      100*T1^4*T2 - 28*T1^5*T2 - 60*T1^6*T2 + 64*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 175*T1^2*T2^2 + 203*T1^3*T2^2 - 
      38*T1^4*T2^2 - 23*T1^5*T2^2 + 106*T1^6*T2^2 + 5*T1^7*T2^2 - 
      31*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 75*T2^3 - 156*T1*T2^3 + 
      203*T1^2*T2^3 - 219*T1^3*T2^3 - 56*T1^4*T2^3 - 8*T1^5*T2^3 - 
      80*T1^6*T2^3 - 137*T1^7*T2^3 + 33*T1^8*T2^3 - 22*T1^9*T2^3 - 
      12*T1^10*T2^3 + 30*T1^11*T2^3 - 85*T2^4 + 100*T1*T2^4 - 38*T1^2*T2^4 - 
      56*T1^3*T2^4 + 460*T1^4*T2^4 - 177*T1^5*T2^4 + 292*T1^6*T2^4 + 
      35*T1^7*T2^4 + 228*T1^8*T2^4 - 116*T1^9*T2^4 + 94*T1^10*T2^4 - 
      52*T1^11*T2^4 - 17*T1^12*T2^4 + 75*T2^5 - 28*T1*T2^5 - 23*T1^2*T2^5 - 
      8*T1^3*T2^5 - 177*T1^4*T2^5 - 440*T1^5*T2^5 + 120*T1^6*T2^5 - 
      279*T1^7*T2^5 - 284*T1^8*T2^5 + 57*T1^9*T2^5 - 44*T1^10*T2^5 - 
      17*T1^11*T2^5 + 68*T1^12*T2^5 - 45*T2^6 - 60*T1*T2^6 + 106*T1^2*T2^6 - 
      80*T1^3*T2^6 + 292*T1^4*T2^6 + 120*T1^5*T2^6 + 653*T1^6*T2^6 - 
      565*T1^7*T2^6 + 893*T1^8*T2^6 - 216*T1^9*T2^6 + 58*T1^10*T2^6 + 
      46*T1^11*T2^6 - 62*T1^12*T2^6 - 36*T1^13*T2^6 + 9*T1^14*T2^6 + 
      20*T2^7 + 64*T1*T2^7 + 5*T1^2*T2^7 - 137*T1^3*T2^7 + 35*T1^4*T2^7 - 
      279*T1^5*T2^7 - 565*T1^6*T2^7 + 324*T1^7*T2^7 - 316*T1^8*T2^7 - 
      322*T1^9*T2^7 + 246*T1^10*T2^7 - 111*T1^11*T2^7 + 28*T1^12*T2^7 + 
      68*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 
      31*T1^2*T2^8 + 33*T1^3*T2^8 + 228*T1^4*T2^8 - 284*T1^5*T2^8 + 
      893*T1^6*T2^8 - 316*T1^7*T2^8 - 84*T1^8*T2^8 + 456*T1^9*T2^8 - 
      241*T1^10*T2^8 - 32*T1^11*T2^8 + 40*T1^12*T2^8 - 69*T1^13*T2^8 - 
      19*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      44*T1^2*T2^9 - 22*T1^3*T2^9 - 116*T1^4*T2^9 + 57*T1^5*T2^9 - 
      216*T1^6*T2^9 - 322*T1^7*T2^9 + 456*T1^8*T2^9 - 184*T1^9*T2^9 - 
      79*T1^10*T2^9 + 309*T1^11*T2^9 - 89*T1^12*T2^9 + 49*T1^13*T2^9 + 
      41*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 27*T1^2*T2^10 - 
      12*T1^3*T2^10 + 94*T1^4*T2^10 - 44*T1^5*T2^10 + 58*T1^6*T2^10 + 
      246*T1^7*T2^10 - 241*T1^8*T2^10 - 79*T1^9*T2^10 - T1^10*T2^10 - 
      90*T1^11*T2^10 - 176*T1^12*T2^10 + 82*T1^13*T2^10 - 74*T1^14*T2^10 + 
      12*T1^15*T2^10 + 27*T1^16*T2^10 + 30*T1^3*T2^11 - 52*T1^4*T2^11 - 
      17*T1^5*T2^11 + 46*T1^6*T2^11 - 111*T1^7*T2^11 - 32*T1^8*T2^11 + 
      309*T1^9*T2^11 - 90*T1^10*T2^11 + 124*T1^11*T2^11 + 123*T1^12*T2^11 + 
      10*T1^13*T2^11 - 11*T1^14*T2^11 + 44*T1^15*T2^11 - 45*T1^16*T2^11 - 
      17*T1^4*T2^12 + 68*T1^5*T2^12 - 62*T1^6*T2^12 + 28*T1^7*T2^12 + 
      40*T1^8*T2^12 - 89*T1^9*T2^12 - 176*T1^10*T2^12 + 123*T1^11*T2^12 - 
      192*T1^12*T2^12 - 32*T1^13*T2^12 + 70*T1^14*T2^12 - 84*T1^15*T2^12 + 
      51*T1^16*T2^12 - 36*T1^6*T2^13 + 68*T1^7*T2^13 - 69*T1^8*T2^13 + 
      49*T1^9*T2^13 + 82*T1^10*T2^13 + 10*T1^11*T2^13 - 32*T1^12*T2^13 + 
      183*T1^13*T2^13 - 157*T1^14*T2^13 + 108*T1^15*T2^13 - 45*T1^16*T2^13 + 
      9*T1^6*T2^14 - 4*T1^7*T2^14 - 19*T1^8*T2^14 + 41*T1^9*T2^14 - 
      74*T1^10*T2^14 - 11*T1^11*T2^14 + 70*T1^12*T2^14 - 157*T1^13*T2^14 + 
      125*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 24*T1^9*T2^15 + 12*T1^10*T2^15 + 44*T1^11*T2^15 - 
      84*T1^12*T2^15 + 108*T1^13*T2^15 - 76*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 27*T1^10*T2^16 - 
      45*T1^11*T2^16 + 51*T1^12*T2^16 - 45*T1^13*T2^16 + 27*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[10, 107] -> {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 66*T1^2 + 93*T1^3 - 66*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 399*T1^2*T2 - 391*T1^3*T2 + 33*T1^4*T2 + 159*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 66*T2^2 + 399*T1*T2^2 - 446*T1^2*T2^2 - 
      585*T1^3*T2^2 + 2006*T1^4*T2^2 - 1597*T1^5*T2^2 + 478*T1^6*T2^2 + 
      47*T1^7*T2^2 - 22*T1^8*T2^2 + 93*T2^3 - 391*T1*T2^3 - 585*T1^2*T2^3 + 
      3389*T1^3*T2^3 - 4934*T1^4*T2^3 + 1604*T1^5*T2^3 + 1085*T1^6*T2^3 - 
      1047*T1^7*T2^3 + 177*T1^8*T2^3 - 66*T2^4 + 33*T1*T2^4 + 
      2006*T1^2*T2^4 - 4934*T1^3*T2^4 + 3417*T1^4*T2^4 + 4105*T1^5*T2^4 - 
      6143*T1^6*T2^4 + 2754*T1^7*T2^4 - 26*T1^8*T2^4 - 175*T1^9*T2^4 + 
      22*T1^10*T2^4 + 24*T2^5 + 159*T1*T2^5 - 1597*T1^2*T2^5 + 
      1604*T1^3*T2^5 + 4105*T1^4*T2^5 - 11902*T1^5*T2^5 + 8764*T1^6*T2^5 - 
      339*T1^7*T2^5 - 2634*T1^8*T2^5 + 1065*T1^9*T2^5 - 49*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 478*T1^2*T2^6 + 1085*T1^3*T2^6 - 
      6143*T1^4*T2^6 + 8764*T1^5*T2^6 - 768*T1^6*T2^6 - 8172*T1^7*T2^6 + 
      6381*T1^8*T2^6 - 1213*T1^9*T2^6 - 470*T1^10*T2^6 + 104*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 47*T1^2*T2^7 - 1047*T1^3*T2^7 + 
      2754*T1^4*T2^7 - 339*T1^5*T2^7 - 8172*T1^6*T2^7 + 12494*T1^7*T2^7 - 
      4783*T1^8*T2^7 - 1484*T1^9*T2^7 + 1615*T1^10*T2^7 - 161*T1^11*T2^7 - 
      24*T1^12*T2^7 - 22*T1^2*T2^8 + 177*T1^3*T2^8 - 26*T1^4*T2^8 - 
      2634*T1^5*T2^8 + 6381*T1^6*T2^8 - 4783*T1^7*T2^8 - 3179*T1^8*T2^8 + 
      5054*T1^9*T2^8 - 2058*T1^10*T2^8 - 31*T1^11*T2^8 + 66*T1^12*T2^8 - 
      175*T1^4*T2^9 + 1065*T1^5*T2^9 - 1213*T1^6*T2^9 - 1484*T1^7*T2^9 + 
      5054*T1^8*T2^9 - 3517*T1^9*T2^9 + 603*T1^10*T2^9 + 393*T1^11*T2^9 - 
      93*T1^12*T2^9 + 22*T1^4*T2^10 - 49*T1^5*T2^10 - 470*T1^6*T2^10 + 
      1615*T1^7*T2^10 - 2058*T1^8*T2^10 + 603*T1^9*T2^10 + 454*T1^10*T2^10 - 
      401*T1^11*T2^10 + 66*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      161*T1^7*T2^11 - 31*T1^8*T2^11 + 393*T1^9*T2^11 - 401*T1^10*T2^11 + 
      176*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      66*T1^8*T2^12 - 93*T1^9*T2^12 + 66*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 108] -> {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 124*T1 - 216*T1^2 + 231*T1^3 - 216*T1^4 + 124*T1^5 - 31*T1^6 + 
     124*T2 - 404*T1*T2 + 496*T1^2*T2 - 284*T1^3*T2 + 180*T1^4*T2 + 
     144*T1^5*T2 - 244*T1^6*T2 + 92*T1^7*T2 - 216*T2^2 + 496*T1*T2^2 - 
     126*T1^2*T2^2 - 572*T1^3*T2^2 + 572*T1^4*T2^2 - 964*T1^5*T2^2 + 
     546*T1^6*T2^2 + 48*T1^7*T2^2 - 104*T1^8*T2^2 + 231*T2^3 - 284*T1*T2^3 - 
     572*T1^2*T2^3 + 1208*T1^3*T2^3 - 550*T1^4*T2^3 + 718*T1^5*T2^3 + 
     274*T1^6*T2^3 - 712*T1^7*T2^3 + 212*T1^8*T2^3 + 51*T1^9*T2^3 - 
     216*T2^4 + 180*T1*T2^4 + 572*T1^2*T2^4 - 550*T1^3*T2^4 - 651*T1^4*T2^4 + 
     337*T1^5*T2^4 - 987*T1^6*T2^4 + 650*T1^7*T2^4 + 220*T1^8*T2^4 - 
     236*T1^9*T2^4 + 8*T1^10*T2^4 + 124*T2^5 + 144*T1*T2^5 - 964*T1^2*T2^5 + 
     718*T1^3*T2^5 + 337*T1^4*T2^5 + 380*T1^5*T2^5 - 122*T1^6*T2^5 + 
     309*T1^7*T2^5 - 686*T1^8*T2^5 + 184*T1^9*T2^5 + 112*T1^10*T2^5 - 
     36*T1^11*T2^5 - 31*T2^6 - 244*T1*T2^6 + 546*T1^2*T2^6 + 274*T1^3*T2^6 - 
     987*T1^4*T2^6 - 122*T1^5*T2^6 + 120*T1^6*T2^6 + 14*T1^7*T2^6 + 
     213*T1^8*T2^6 + 362*T1^9*T2^6 - 382*T1^10*T2^6 + 76*T1^11*T2^6 + 
     17*T1^12*T2^6 + 92*T1*T2^7 + 48*T1^2*T2^7 - 712*T1^3*T2^7 + 
     650*T1^4*T2^7 + 309*T1^5*T2^7 + 14*T1^6*T2^7 - 488*T1^7*T2^7 + 
     281*T1^8*T2^7 - 754*T1^9*T2^7 + 436*T1^10*T2^7 + 16*T1^11*T2^7 - 
     68*T1^12*T2^7 - 104*T1^2*T2^8 + 212*T1^3*T2^8 + 220*T1^4*T2^8 - 
     686*T1^5*T2^8 + 213*T1^6*T2^8 + 281*T1^7*T2^8 - 123*T1^8*T2^8 + 
     514*T1^9*T2^8 - 132*T1^10*T2^8 - 204*T1^11*T2^8 + 120*T1^12*T2^8 + 
     51*T1^3*T2^9 - 236*T1^4*T2^9 + 184*T1^5*T2^9 + 362*T1^6*T2^9 - 
     754*T1^7*T2^9 + 514*T1^8*T2^9 - 572*T1^9*T2^9 + 44*T1^10*T2^9 + 
     260*T1^11*T2^9 - 129*T1^12*T2^9 + 8*T1^4*T2^10 + 112*T1^5*T2^10 - 
     382*T1^6*T2^10 + 436*T1^7*T2^10 - 132*T1^8*T2^10 + 44*T1^9*T2^10 + 
     290*T1^10*T2^10 - 336*T1^11*T2^10 + 120*T1^12*T2^10 - 36*T1^5*T2^11 + 
     76*T1^6*T2^11 + 16*T1^7*T2^11 - 204*T1^8*T2^11 + 260*T1^9*T2^11 - 
     336*T1^10*T2^11 + 236*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 
     68*T1^7*T2^12 + 120*T1^8*T2^12 - 129*T1^9*T2^12 + 120*T1^10*T2^12 - 
     68*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 109] -> {(1 - 4*T + 10*T^2 - 17*T^3 + 21*T^4 - 17*T^5 + 10*T^6 - 
     4*T^7 + T^8)/T^4, ((1 - 4*T1 + 10*T1^2 - 17*T1^3 + 21*T1^4 - 17*T1^5 + 
      10*T1^6 - 4*T1^7 + T1^8)*(1 + T1*T2)*(4 - 12*T1*T2 + 24*T1^2*T2^2 - 
      29*T1^3*T2^3 + 24*T1^4*T2^4 - 12*T1^5*T2^5 + 4*T1^6*T2^6)*
     (1 - 4*T2 + 10*T2^2 - 17*T2^3 + 21*T2^4 - 17*T2^5 + 10*T2^6 - 4*T2^7 + 
      T2^8))/(T1^9*T2^8)}, Knot[10, 110] -> 
  {(1 - 8*T + 20*T^2 - 25*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 40*T1^2 + 50*T1^3 - 40*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     120*T1*T2 + 257*T1^2*T2 - 241*T1^3*T2 + 119*T1^4*T2 + 33*T1^5*T2 - 
     48*T1^6*T2 + 8*T1^7*T2 - 40*T2^2 + 257*T1*T2^2 - 286*T1^2*T2^2 - 
     310*T1^3*T2^2 + 848*T1^4*T2^2 - 990*T1^5*T2^2 + 474*T1^6*T2^2 - 
     63*T1^7*T2^2 + 50*T2^3 - 241*T1*T2^3 - 310*T1^2*T2^3 + 2019*T1^3*T2^3 - 
     2834*T1^4*T2^3 + 2266*T1^5*T2^3 - 511*T1^6*T2^3 - 370*T1^7*T2^3 + 
     199*T1^8*T2^3 - 25*T1^9*T2^3 - 40*T2^4 + 119*T1*T2^4 + 848*T1^2*T2^4 - 
     2834*T1^3*T2^4 + 2514*T1^4*T2^4 - 6*T1^5*T2^4 - 2766*T1^6*T2^4 + 
     2766*T1^7*T2^4 - 752*T1^8*T2^4 - 121*T1^9*T2^4 + 40*T1^10*T2^4 + 
     16*T2^5 + 33*T1*T2^5 - 990*T1^2*T2^5 + 2266*T1^3*T2^5 - 6*T1^4*T2^5 - 
     4072*T1^5*T2^5 + 5348*T1^6*T2^5 - 2326*T1^7*T2^5 - 1834*T1^8*T2^5 + 
     1550*T1^9*T2^5 - 127*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 48*T1*T2^6 + 
     474*T1^2*T2^6 - 511*T1^3*T2^6 - 2766*T1^4*T2^6 + 5348*T1^5*T2^6 - 
     1872*T1^6*T2^6 - 3436*T1^7*T2^6 + 6154*T1^8*T2^6 - 1941*T1^9*T2^6 - 
     654*T1^10*T2^6 + 160*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     63*T1^2*T2^7 - 370*T1^3*T2^7 + 2766*T1^4*T2^7 - 2326*T1^5*T2^7 - 
     3436*T1^6*T2^7 + 5984*T1^7*T2^7 - 4646*T1^8*T2^7 - 1334*T1^9*T2^7 + 
     2170*T1^10*T2^7 - 223*T1^11*T2^7 - 32*T1^12*T2^7 + 199*T1^3*T2^8 - 
     752*T1^4*T2^8 - 1834*T1^5*T2^8 + 6154*T1^6*T2^8 - 4646*T1^7*T2^8 + 
     874*T1^8*T2^8 + 3766*T1^9*T2^8 - 2352*T1^10*T2^8 - 41*T1^11*T2^8 + 
     80*T1^12*T2^8 - 25*T1^3*T2^9 - 121*T1^4*T2^9 + 1550*T1^5*T2^9 - 
     1941*T1^6*T2^9 - 1334*T1^7*T2^9 + 3766*T1^8*T2^9 - 4471*T1^9*T2^9 + 
     1490*T1^10*T2^9 + 319*T1^11*T2^9 - 100*T1^12*T2^9 + 40*T1^4*T2^10 - 
     127*T1^5*T2^10 - 654*T1^6*T2^10 + 2170*T1^7*T2^10 - 2352*T1^8*T2^10 + 
     1490*T1^9*T2^10 + 106*T1^10*T2^10 - 447*T1^11*T2^10 + 80*T1^12*T2^10 - 
     24*T1^5*T2^11 + 160*T1^6*T2^11 - 223*T1^7*T2^11 - 41*T1^8*T2^11 + 
     319*T1^9*T2^11 - 447*T1^10*T2^11 + 232*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 80*T1^8*T2^12 - 100*T1^9*T2^12 + 
     80*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 111] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((-41 + 183*T1 - 344*T1^2 + 425*T1^3 - 344*T1^4 + 183*T1^5 - 41*T1^6 + 
      183*T2 - 670*T1*T2 + 881*T1^2*T2 - 667*T1^3*T2 + 17*T1^4*T2 + 
      413*T1^5*T2 - 472*T1^6*T2 + 147*T1^7*T2 - 344*T2^2 + 881*T1*T2^2 - 
      178*T1^2*T2^2 - 1010*T1^3*T2^2 + 2172*T1^4*T2^2 - 1826*T1^5*T2^2 + 
      842*T1^6*T2^2 + 269*T1^7*T2^2 - 208*T1^8*T2^2 + 425*T2^3 - 
      667*T1*T2^3 - 1010*T1^2*T2^3 + 2071*T1^3*T2^3 - 2258*T1^4*T2^3 + 
      280*T1^5*T2^3 + 991*T1^6*T2^3 - 1469*T1^7*T2^3 + 161*T1^8*T2^3 + 
      173*T1^9*T2^3 - 344*T2^4 + 17*T1*T2^4 + 2172*T1^2*T2^4 - 
      2258*T1^3*T2^4 + 1294*T1^4*T2^4 + 1180*T1^5*T2^4 - 1202*T1^6*T2^4 + 
      556*T1^7*T2^4 + 1082*T1^8*T2^4 - 451*T1^9*T2^4 - 72*T1^10*T2^4 + 
      183*T2^5 + 413*T1*T2^5 - 1826*T1^2*T2^5 + 280*T1^3*T2^5 + 
      1180*T1^4*T2^5 - 2318*T1^5*T2^5 + 304*T1^6*T2^5 + 925*T1^7*T2^5 - 
      1706*T1^8*T2^5 + 61*T1^9*T2^5 + 305*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 472*T1*T2^6 + 842*T1^2*T2^6 + 991*T1^3*T2^6 - 
      1202*T1^4*T2^6 + 304*T1^5*T2^6 + 2076*T1^6*T2^6 - 1988*T1^7*T2^6 + 
      1072*T1^8*T2^6 + 793*T1^9*T2^6 - 510*T1^10*T2^6 - 40*T1^11*T2^6 + 
      7*T1^12*T2^6 + 147*T1*T2^7 + 269*T1^2*T2^7 - 1469*T1^3*T2^7 + 
      556*T1^4*T2^7 + 925*T1^5*T2^7 - 1988*T1^6*T2^7 + 634*T1^7*T2^7 + 
      670*T1^8*T2^7 - 1430*T1^9*T2^7 + 418*T1^10*T2^7 + 161*T1^11*T2^7 - 
      33*T1^12*T2^7 - 208*T1^2*T2^8 + 161*T1^3*T2^8 + 1082*T1^4*T2^8 - 
      1706*T1^5*T2^8 + 1072*T1^6*T2^8 + 670*T1^7*T2^8 - 1424*T1^8*T2^8 + 
      1108*T1^9*T2^8 - 8*T1^10*T2^8 - 307*T1^11*T2^8 + 64*T1^12*T2^8 + 
      173*T1^3*T2^9 - 451*T1^4*T2^9 + 61*T1^5*T2^9 + 793*T1^6*T2^9 - 
      1430*T1^7*T2^9 + 1108*T1^8*T2^9 - 287*T1^9*T2^9 - 398*T1^10*T2^9 + 
      377*T1^11*T2^9 - 79*T1^12*T2^9 - 72*T1^4*T2^10 + 305*T1^5*T2^10 - 
      510*T1^6*T2^10 + 418*T1^7*T2^10 - 8*T1^8*T2^10 - 398*T1^9*T2^10 + 
      510*T1^10*T2^10 - 307*T1^11*T2^10 + 64*T1^12*T2^10 + 3*T1^5*T2^11 - 
      40*T1^6*T2^11 + 161*T1^7*T2^11 - 307*T1^8*T2^11 + 377*T1^9*T2^11 - 
      307*T1^10*T2^11 + 158*T1^11*T2^11 - 33*T1^12*T2^11 + 7*T1^6*T2^12 - 
      33*T1^7*T2^12 + 64*T1^8*T2^12 - 79*T1^9*T2^12 + 64*T1^10*T2^12 - 
      33*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 112] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6))/T^4), 
   -((-3 + 15*T1 - 33*T1^2 + 51*T1^3 - 57*T1^4 + 51*T1^5 - 33*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 115*T1^2*T2 - 145*T1^3*T2 + 
      115*T1^4*T2 - 65*T1^5*T2 - 5*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 71*T1^3*T2^2 + 
      92*T1^4*T2^2 - 189*T1^5*T2^2 + 268*T1^6*T2^2 - 193*T1^7*T2^2 + 
      95*T1^8*T2^2 + 5*T1^9*T2^2 - 11*T1^10*T2^2 + 51*T2^3 - 145*T1*T2^3 + 
      71*T1^2*T2^3 + 48*T1^3*T2^3 - 269*T1^4*T2^3 + 271*T1^5*T2^3 - 
      281*T1^6*T2^3 + 47*T1^7*T2^3 + 86*T1^8*T2^3 - 160*T1^9*T2^3 + 
      55*T1^10*T2^3 - 57*T2^4 + 115*T1*T2^4 + 92*T1^2*T2^4 - 269*T1^3*T2^4 + 
      502*T1^4*T2^4 - 365*T1^5*T2^4 + 306*T1^6*T2^4 + 83*T1^7*T2^4 - 
      170*T1^8*T2^4 + 139*T1^9*T2^4 + 78*T1^10*T2^4 - 95*T1^11*T2^4 + 
      19*T1^12*T2^4 + 51*T2^5 - 65*T1*T2^5 - 189*T1^2*T2^5 + 271*T1^3*T2^5 - 
      365*T1^4*T2^5 + 105*T1^5*T2^5 - 95*T1^6*T2^5 - 207*T1^7*T2^5 + 
      31*T1^8*T2^5 + 158*T1^9*T2^5 - 297*T1^10*T2^5 + 114*T1^11*T2^5 + 
      75*T1^12*T2^5 - 34*T1^13*T2^5 - 33*T2^6 - 5*T1*T2^6 + 268*T1^2*T2^6 - 
      281*T1^3*T2^6 + 306*T1^4*T2^6 - 95*T1^5*T2^6 + 125*T1^6*T2^6 + 
      127*T1^7*T2^6 + 49*T1^8*T2^6 - 113*T1^9*T2^6 - 40*T1^10*T2^6 + 
      247*T1^11*T2^6 - 288*T1^12*T2^6 + 5*T1^13*T2^6 + 33*T1^14*T2^6 + 
      15*T2^7 + 35*T1*T2^7 - 193*T1^2*T2^7 + 47*T1^3*T2^7 + 83*T1^4*T2^7 - 
      207*T1^5*T2^7 + 127*T1^6*T2^7 - 80*T1^7*T2^7 - 190*T1^8*T2^7 + 
      272*T1^9*T2^7 + 93*T1^10*T2^7 - 140*T1^11*T2^7 + 99*T1^12*T2^7 + 
      236*T1^13*T2^7 - 65*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      95*T1^2*T2^8 + 86*T1^3*T2^8 - 170*T1^4*T2^8 + 31*T1^5*T2^8 + 
      49*T1^6*T2^8 - 190*T1^7*T2^8 + 60*T1^8*T2^8 + 86*T1^9*T2^8 - 
      637*T1^10*T2^8 + 297*T1^11*T2^8 - 134*T1^12*T2^8 - 242*T1^13*T2^8 - 
      83*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      5*T1^2*T2^9 - 160*T1^3*T2^9 + 139*T1^4*T2^9 + 158*T1^5*T2^9 - 
      113*T1^6*T2^9 + 272*T1^7*T2^9 + 86*T1^8*T2^9 - 24*T1^9*T2^9 + 
      417*T1^10*T2^9 + 187*T1^11*T2^9 - 65*T1^12*T2^9 + 191*T1^13*T2^9 + 
      269*T1^14*T2^9 - 95*T1^15*T2^9 - 25*T1^16*T2^9 - 11*T1^2*T2^10 + 
      55*T1^3*T2^10 + 78*T1^4*T2^10 - 297*T1^5*T2^10 - 40*T1^6*T2^10 + 
      93*T1^7*T2^10 - 637*T1^8*T2^10 + 417*T1^9*T2^10 - 713*T1^10*T2^10 + 
      75*T1^11*T2^10 - 386*T1^12*T2^10 + 231*T1^13*T2^10 - 478*T1^14*T2^10 + 
      65*T1^15*T2^10 + 55*T1^16*T2^10 - 95*T1^4*T2^11 + 114*T1^5*T2^11 + 
      247*T1^6*T2^11 - 140*T1^7*T2^11 + 297*T1^8*T2^11 + 187*T1^9*T2^11 + 
      75*T1^10*T2^11 + 223*T1^11*T2^11 + 383*T1^12*T2^11 - 321*T1^13*T2^11 + 
      417*T1^14*T2^11 + 45*T1^15*T2^11 - 85*T1^16*T2^11 + 19*T1^4*T2^12 + 
      75*T1^5*T2^12 - 288*T1^6*T2^12 + 99*T1^7*T2^12 - 134*T1^8*T2^12 - 
      65*T1^9*T2^12 - 386*T1^10*T2^12 + 383*T1^11*T2^12 - 806*T1^12*T2^12 + 
      507*T1^13*T2^12 - 302*T1^14*T2^12 - 135*T1^15*T2^12 + 95*T1^16*T2^12 - 
      34*T1^5*T2^13 + 5*T1^6*T2^13 + 236*T1^7*T2^13 - 242*T1^8*T2^13 + 
      191*T1^9*T2^13 + 231*T1^10*T2^13 - 321*T1^11*T2^13 + 507*T1^12*T2^13 - 
      204*T1^13*T2^13 + 5*T1^14*T2^13 + 205*T1^15*T2^13 - 85*T1^16*T2^13 + 
      33*T1^6*T2^14 - 65*T1^7*T2^14 - 83*T1^8*T2^14 + 269*T1^9*T2^14 - 
      478*T1^10*T2^14 + 417*T1^11*T2^14 - 302*T1^12*T2^14 + 5*T1^13*T2^14 + 
      137*T1^14*T2^14 - 175*T1^15*T2^14 + 55*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 95*T1^9*T2^15 + 65*T1^10*T2^15 + 45*T1^11*T2^15 - 
      135*T1^12*T2^15 + 205*T1^13*T2^15 - 175*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 55*T1^10*T2^16 - 
      85*T1^11*T2^16 + 95*T1^12*T2^16 - 85*T1^13*T2^16 + 55*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[10, 113] -> {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-33 + 180*T1 - 422*T1^2 + 533*T1^3 - 422*T1^4 + 180*T1^5 - 33*T1^6 + 
     180*T2 - 848*T1*T2 + 1569*T1^2*T2 - 1183*T1^3*T2 + 115*T1^4*T2 + 
     755*T1^5*T2 - 562*T1^6*T2 + 136*T1^7*T2 - 422*T2^2 + 1569*T1*T2^2 - 
     1592*T1^2*T2^2 - 1487*T1^3*T2^2 + 3886*T1^4*T2^2 - 3775*T1^5*T2^2 + 
     904*T1^6*T2^2 + 425*T1^7*T2^2 - 214*T1^8*T2^2 + 533*T2^3 - 
     1183*T1*T2^3 - 1487*T1^2*T2^3 + 7478*T1^3*T2^3 - 7266*T1^4*T2^3 + 
     2282*T1^5*T2^3 + 3826*T1^6*T2^3 - 2917*T1^7*T2^3 + 423*T1^8*T2^3 + 
     137*T1^9*T2^3 - 422*T2^4 + 115*T1*T2^4 + 3886*T1^2*T2^4 - 
     7266*T1^3*T2^4 - 722*T1^4*T2^4 + 9152*T1^5*T2^4 - 11702*T1^6*T2^4 + 
     3294*T1^7*T2^4 + 1308*T1^8*T2^4 - 721*T1^9*T2^4 - 6*T1^10*T2^4 + 
     180*T2^5 + 755*T1*T2^5 - 3775*T1^2*T2^5 + 2282*T1^3*T2^5 + 
     9152*T1^4*T2^5 - 13002*T1^5*T2^5 + 7304*T1^6*T2^5 + 4576*T1^7*T2^5 - 
     5242*T1^8*T2^5 + 1087*T1^9*T2^5 + 249*T1^10*T2^5 - 40*T1^11*T2^5 - 
     33*T2^6 - 562*T1*T2^6 + 904*T1^2*T2^6 + 3826*T1^3*T2^6 - 
     11702*T1^4*T2^6 + 7304*T1^5*T2^6 + 3456*T1^6*T2^6 - 11088*T1^7*T2^6 + 
     5398*T1^8*T2^6 + 746*T1^9*T2^6 - 1092*T1^10*T2^6 + 142*T1^11*T2^6 + 
     15*T1^12*T2^6 + 136*T1*T2^7 + 425*T1^2*T2^7 - 2917*T1^3*T2^7 + 
     3294*T1^4*T2^7 + 4576*T1^5*T2^7 - 11088*T1^6*T2^7 + 9218*T1^7*T2^7 - 
     4230*T1^9*T2^7 + 1945*T1^10*T2^7 - 81*T1^11*T2^7 - 84*T1^12*T2^7 - 
     214*T1^2*T2^8 + 423*T1^3*T2^8 + 1308*T1^4*T2^8 - 5242*T1^5*T2^8 + 
     5398*T1^6*T2^8 - 5582*T1^8*T2^8 + 5318*T1^9*T2^8 - 1270*T1^10*T2^8 - 
     413*T1^11*T2^8 + 202*T1^12*T2^8 + 137*T1^3*T2^9 - 721*T1^4*T2^9 + 
     1087*T1^5*T2^9 + 746*T1^6*T2^9 - 4230*T1^7*T2^9 + 5318*T1^8*T2^9 - 
     2906*T1^9*T2^9 - 343*T1^10*T2^9 + 885*T1^11*T2^9 - 259*T1^12*T2^9 - 
     6*T1^4*T2^10 + 249*T1^5*T2^10 - 1092*T1^6*T2^10 + 1945*T1^7*T2^10 - 
     1270*T1^8*T2^10 - 343*T1^9*T2^10 + 1404*T1^10*T2^10 - 895*T1^11*T2^10 + 
     202*T1^12*T2^10 - 40*T1^5*T2^11 + 142*T1^6*T2^11 - 81*T1^7*T2^11 - 
     413*T1^8*T2^11 + 885*T1^9*T2^11 - 895*T1^10*T2^11 + 428*T1^11*T2^11 - 
     84*T1^12*T2^11 + 15*T1^6*T2^12 - 84*T1^7*T2^12 + 202*T1^8*T2^12 - 
     259*T1^9*T2^12 + 202*T1^10*T2^12 - 84*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 114] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-23 + 115*T1 - 242*T1^2 + 311*T1^3 - 242*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 835*T1^2*T2 - 765*T1^3*T2 + 195*T1^4*T2 + 
      215*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 242*T2^2 + 835*T1*T2^2 - 
      743*T1^2*T2^2 - 318*T1^3*T2^2 + 1761*T1^4*T2^2 - 1746*T1^5*T2^2 + 
      853*T1^6*T2^2 - 5*T1^7*T2^2 - 74*T1^8*T2^2 + 311*T2^3 - 765*T1*T2^3 - 
      318*T1^2*T2^3 + 2296*T1^3*T2^3 - 3467*T1^4*T2^3 + 1591*T1^5*T2^3 + 
      484*T1^6*T2^3 - 1200*T1^7*T2^3 + 435*T1^8*T2^3 - 13*T1^9*T2^3 - 
      242*T2^4 + 195*T1*T2^4 + 1761*T1^2*T2^4 - 3467*T1^3*T2^4 + 
      2551*T1^4*T2^4 + 1543*T1^5*T2^4 - 3437*T1^6*T2^4 + 2257*T1^7*T2^4 - 
      111*T1^8*T2^4 - 405*T1^9*T2^4 + 94*T1^10*T2^4 + 115*T2^5 + 
      215*T1*T2^5 - 1746*T1^2*T2^5 + 1591*T1^3*T2^5 + 1543*T1^4*T2^5 - 
      5033*T1^5*T2^5 + 3853*T1^6*T2^5 + 136*T1^7*T2^5 - 2135*T1^8*T2^5 + 
      1320*T1^9*T2^5 - 45*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 853*T1^2*T2^6 + 484*T1^3*T2^6 - 3437*T1^4*T2^6 + 
      3853*T1^5*T2^6 - 192*T1^6*T2^6 - 3781*T1^7*T2^6 + 3025*T1^8*T2^6 - 
      584*T1^9*T2^6 - 879*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 - 5*T1^2*T2^7 - 1200*T1^3*T2^7 + 2257*T1^4*T2^7 + 
      136*T1^5*T2^7 - 3781*T1^6*T2^7 + 5105*T1^7*T2^7 - 1271*T1^8*T2^7 - 
      1469*T1^9*T2^7 + 1866*T1^10*T2^7 - 265*T1^11*T2^7 - 125*T1^12*T2^7 - 
      74*T1^2*T2^8 + 435*T1^3*T2^8 - 111*T1^4*T2^8 - 2135*T1^5*T2^8 + 
      3025*T1^6*T2^8 - 1271*T1^7*T2^8 - 2963*T1^8*T2^8 + 3589*T1^9*T2^8 - 
      1983*T1^10*T2^8 - 165*T1^11*T2^8 + 262*T1^12*T2^8 - 13*T1^3*T2^9 - 
      405*T1^4*T2^9 + 1320*T1^5*T2^9 - 584*T1^6*T2^9 - 1469*T1^7*T2^9 + 
      3589*T1^8*T2^9 - 2396*T1^9*T2^9 + 438*T1^10*T2^9 + 795*T1^11*T2^9 - 
      337*T1^12*T2^9 + 94*T1^4*T2^10 - 45*T1^5*T2^10 - 879*T1^6*T2^10 + 
      1866*T1^7*T2^10 - 1983*T1^8*T2^10 + 438*T1^9*T2^10 + 717*T1^10*T2^10 - 
      885*T1^11*T2^10 + 262*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      265*T1^7*T2^11 - 165*T1^8*T2^11 + 795*T1^9*T2^11 - 885*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      262*T1^8*T2^12 - 337*T1^9*T2^12 + 262*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 115] -> {-((1 - 9*T + 26*T^2 - 37*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3), 
   -(((1 - 9*T1 + 26*T1^2 - 37*T1^3 + 26*T1^4 - 9*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 18*T1*T2 + 29*T1^2*T2^2 - 18*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 9*T2 + 26*T2^2 - 37*T2^3 + 26*T2^4 - 9*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[10, 116] -> 
  {-((1 - 5*T + 12*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 36*T1^2 + 57*T1^3 - 63*T1^4 + 57*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 165*T1^3*T2 + 
      125*T1^4*T2 - 75*T1^5*T2 - 10*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 196*T1^2*T2^2 + 152*T1^3*T2^2 + 
      34*T1^4*T2^2 - 116*T1^5*T2^2 + 250*T1^6*T2^2 - 184*T1^7*T2^2 + 
      68*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 57*T2^3 - 165*T1*T2^3 + 
      152*T1^2*T2^3 + 33*T1^3*T2^3 - 330*T1^4*T2^3 + 272*T1^5*T2^3 - 
      361*T1^6*T2^3 + 48*T1^7*T2^3 + 153*T1^8*T2^3 - 172*T1^9*T2^3 + 
      60*T1^10*T2^3 - 63*T2^4 + 125*T1*T2^4 + 34*T1^2*T2^4 - 330*T1^3*T2^4 + 
      560*T1^4*T2^4 - 176*T1^5*T2^4 + 182*T1^6*T2^4 + 358*T1^7*T2^4 - 
      420*T1^8*T2^4 + 164*T1^9*T2^4 + 92*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 57*T2^5 - 75*T1*T2^5 - 116*T1^2*T2^5 + 272*T1^3*T2^5 - 
      176*T1^4*T2^5 - 476*T1^5*T2^5 + 296*T1^6*T2^5 - 674*T1^7*T2^5 + 
      302*T1^8*T2^5 + 253*T1^9*T2^5 - 335*T1^10*T2^5 + 91*T1^11*T2^5 + 
      85*T1^12*T2^5 - 38*T1^13*T2^5 - 36*T2^6 - 10*T1*T2^6 + 250*T1^2*T2^6 - 
      361*T1^3*T2^6 + 182*T1^4*T2^6 + 296*T1^5*T2^6 + 146*T1^6*T2^6 + 
      176*T1^7*T2^6 + 154*T1^8*T2^6 - 528*T1^9*T2^6 + 18*T1^10*T2^6 + 
      311*T1^11*T2^6 - 282*T1^12*T2^6 + 10*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 184*T1^2*T2^7 + 48*T1^3*T2^7 + 358*T1^4*T2^7 - 
      674*T1^5*T2^7 + 176*T1^6*T2^7 - 334*T1^7*T2^7 + 20*T1^8*T2^7 + 
      341*T1^9*T2^7 + 588*T1^10*T2^7 - 491*T1^11*T2^7 + 134*T1^12*T2^7 + 
      212*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      68*T1^2*T2^8 + 153*T1^3*T2^8 - 420*T1^4*T2^8 + 302*T1^5*T2^8 + 
      154*T1^6*T2^8 + 20*T1^7*T2^8 - 216*T1^8*T2^8 + 64*T1^9*T2^8 - 
      1188*T1^10*T2^8 + 298*T1^11*T2^8 + 200*T1^12*T2^8 - 357*T1^13*T2^8 - 
      10*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      10*T1^2*T2^9 - 172*T1^3*T2^9 + 164*T1^4*T2^9 + 253*T1^5*T2^9 - 
      528*T1^6*T2^9 + 341*T1^7*T2^9 + 64*T1^8*T2^9 + 418*T1^9*T2^9 + 
      506*T1^10*T2^9 + 734*T1^11*T2^9 - 596*T1^12*T2^9 + 250*T1^13*T2^9 + 
      224*T1^14*T2^9 - 115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 
      60*T1^3*T2^10 + 92*T1^4*T2^10 - 335*T1^5*T2^10 + 18*T1^6*T2^10 + 
      588*T1^7*T2^10 - 1188*T1^8*T2^10 + 506*T1^9*T2^10 - 1180*T1^10*T2^10 - 
      236*T1^11*T2^10 - 146*T1^12*T2^10 + 337*T1^13*T2^10 - 440*T1^14*T2^10 + 
      80*T1^15*T2^10 + 60*T1^16*T2^10 - 105*T1^4*T2^11 + 91*T1^5*T2^11 + 
      311*T1^6*T2^11 - 491*T1^7*T2^11 + 298*T1^8*T2^11 + 734*T1^9*T2^11 - 
      236*T1^10*T2^11 + 1076*T1^11*T2^11 - 62*T1^12*T2^11 - 296*T1^13*T2^11 + 
      298*T1^14*T2^11 + 55*T1^15*T2^11 - 95*T1^16*T2^11 + 21*T1^4*T2^12 + 
      85*T1^5*T2^12 - 282*T1^6*T2^12 + 134*T1^7*T2^12 + 200*T1^8*T2^12 - 
      596*T1^9*T2^12 - 146*T1^10*T2^12 - 62*T1^11*T2^12 - 780*T1^12*T2^12 + 
      628*T1^13*T2^12 - 224*T1^14*T2^12 - 145*T1^15*T2^12 + 105*T1^16*T2^12 - 
      38*T1^5*T2^13 + 10*T1^6*T2^13 + 212*T1^7*T2^13 - 357*T1^8*T2^13 + 
      250*T1^9*T2^13 + 337*T1^10*T2^13 - 296*T1^11*T2^13 + 628*T1^12*T2^13 - 
      237*T1^13*T2^13 - 112*T1^14*T2^13 + 235*T1^15*T2^13 - 95*T1^16*T2^13 + 
      36*T1^6*T2^14 - 80*T1^7*T2^14 - 10*T1^8*T2^14 + 224*T1^9*T2^14 - 
      440*T1^10*T2^14 + 298*T1^11*T2^14 - 224*T1^12*T2^14 - 112*T1^13*T2^14 + 
      254*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 115*T1^9*T2^15 + 80*T1^10*T2^15 + 55*T1^11*T2^15 - 
      145*T1^12*T2^15 + 235*T1^13*T2^15 - 200*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 60*T1^10*T2^16 - 
      95*T1^11*T2^16 + 105*T1^12*T2^16 - 95*T1^13*T2^16 + 60*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[10, 117] -> {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/
    T^3, (-33 + 164*T1 - 392*T1^2 + 505*T1^3 - 392*T1^4 + 164*T1^5 - 
     33*T1^6 + 164*T2 - 692*T1*T2 + 1335*T1^2*T2 - 1043*T1^3*T2 + 
     57*T1^4*T2 + 655*T1^5*T2 - 452*T1^6*T2 + 124*T1^7*T2 - 392*T2^2 + 
     1335*T1*T2^2 - 1793*T1^2*T2^2 - 349*T1^3*T2^2 + 2453*T1^4*T2^2 - 
     2365*T1^5*T2^2 + 319*T1^6*T2^2 + 375*T1^7*T2^2 - 200*T1^8*T2^2 + 
     505*T2^3 - 1043*T1*T2^3 - 349*T1^2*T2^3 + 5032*T1^3*T2^3 - 
     5503*T1^4*T2^3 + 1373*T1^5*T2^3 + 3010*T1^6*T2^3 - 1933*T1^7*T2^3 + 
     337*T1^8*T2^3 + 133*T1^9*T2^3 - 392*T2^4 + 57*T1*T2^4 + 2453*T1^2*T2^4 - 
     5503*T1^3*T2^4 - 412*T1^4*T2^4 + 7972*T1^5*T2^4 - 9208*T1^6*T2^4 + 
     2185*T1^7*T2^4 + 861*T1^8*T2^4 - 623*T1^9*T2^4 - 8*T1^10*T2^4 + 
     164*T2^5 + 655*T1*T2^5 - 2365*T1^2*T2^5 + 1373*T1^3*T2^5 + 
     7972*T1^4*T2^5 - 11872*T1^5*T2^5 + 5768*T1^6*T2^5 + 4036*T1^7*T2^5 - 
     3879*T1^8*T2^5 + 947*T1^9*T2^5 + 215*T1^10*T2^5 - 36*T1^11*T2^5 - 
     33*T2^6 - 452*T1*T2^6 + 319*T1^2*T2^6 + 3010*T1^3*T2^6 - 
     9208*T1^4*T2^6 + 5768*T1^5*T2^6 + 4236*T1^6*T2^6 - 9864*T1^7*T2^6 + 
     4312*T1^8*T2^6 + 346*T1^9*T2^6 - 801*T1^10*T2^6 + 108*T1^11*T2^6 + 
     15*T1^12*T2^6 + 124*T1*T2^7 + 375*T1^2*T2^7 - 1933*T1^3*T2^7 + 
     2185*T1^4*T2^7 + 4036*T1^5*T2^7 - 9864*T1^6*T2^7 + 7776*T1^7*T2^7 + 
     100*T1^8*T2^7 - 3067*T1^9*T2^7 + 1379*T1^10*T2^7 - 65*T1^11*T2^7 - 
     76*T1^12*T2^7 - 200*T1^2*T2^8 + 337*T1^3*T2^8 + 861*T1^4*T2^8 - 
     3879*T1^5*T2^8 + 4312*T1^6*T2^8 + 100*T1^7*T2^8 - 4484*T1^8*T2^8 + 
     3809*T1^9*T2^8 - 731*T1^10*T2^8 - 343*T1^11*T2^8 + 184*T1^12*T2^8 + 
     133*T1^3*T2^9 - 623*T1^4*T2^9 + 947*T1^5*T2^9 + 346*T1^6*T2^9 - 
     3067*T1^7*T2^9 + 3809*T1^8*T2^9 - 1676*T1^9*T2^9 - 637*T1^10*T2^9 + 
     757*T1^11*T2^9 - 239*T1^12*T2^9 - 8*T1^4*T2^10 + 215*T1^5*T2^10 - 
     801*T1^6*T2^10 + 1379*T1^7*T2^10 - 731*T1^8*T2^10 - 637*T1^9*T2^10 + 
     1311*T1^10*T2^10 - 745*T1^11*T2^10 + 184*T1^12*T2^10 - 36*T1^5*T2^11 + 
     108*T1^6*T2^11 - 65*T1^7*T2^11 - 343*T1^8*T2^11 + 757*T1^9*T2^11 - 
     745*T1^10*T2^11 + 348*T1^11*T2^11 - 76*T1^12*T2^11 + 15*T1^6*T2^12 - 
     76*T1^7*T2^12 + 184*T1^8*T2^12 - 239*T1^9*T2^12 + 184*T1^10*T2^12 - 
     76*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 118] -> {(1 - 5*T + 12*T^2 - 19*T^3 + 23*T^4 - 19*T^5 + 12*T^6 - 
     5*T^7 + T^8)/T^4, ((1 - 5*T1 + 12*T1^2 - 19*T1^3 + 23*T1^4 - 19*T1^5 + 
      12*T1^6 - 5*T1^7 + T1^8)*(-1 + T1*T2)^2*(1 + T1*T2)*
     (4 - 7*T1*T2 + 10*T1^2*T2^2 - 7*T1^3*T2^3 + 4*T1^4*T2^4)*
     (1 - 5*T2 + 12*T2^2 - 19*T2^3 + 23*T2^4 - 19*T2^5 + 12*T2^6 - 5*T2^7 + 
      T2^8))/(T1^9*T2^8)}, Knot[10, 119] -> 
  {-((2 - 10*T + 23*T^2 - 31*T^3 + 23*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 124*T1 - 284*T1^2 + 383*T1^3 - 284*T1^4 + 124*T1^5 - 25*T1^6 + 
      124*T2 - 532*T1*T2 + 995*T1^2*T2 - 951*T1^3*T2 + 129*T1^4*T2 + 
      335*T1^5*T2 - 292*T1^6*T2 + 84*T1^7*T2 - 284*T2^2 + 995*T1*T2^2 - 
      1275*T1^2*T2^2 + 158*T1^3*T2^2 + 1971*T1^4*T2^2 - 1774*T1^5*T2^2 + 
      657*T1^6*T2^2 + 75*T1^7*T2^2 - 100*T1^8*T2^2 + 383*T2^3 - 951*T1*T2^3 + 
      158*T1^2*T2^3 + 2420*T1^3*T2^3 - 4690*T1^4*T2^3 + 1592*T1^5*T2^3 + 
      968*T1^6*T2^3 - 1360*T1^7*T2^3 + 449*T1^8*T2^3 + 11*T1^9*T2^3 - 
      284*T2^4 + 129*T1*T2^4 + 1971*T1^2*T2^4 - 4690*T1^3*T2^4 + 
      4310*T1^4*T2^4 + 2782*T1^5*T2^4 - 4846*T1^6*T2^4 + 2626*T1^7*T2^4 + 
      3*T1^8*T2^4 - 471*T1^9*T2^4 + 84*T1^10*T2^4 + 124*T2^5 + 335*T1*T2^5 - 
      1774*T1^2*T2^5 + 1592*T1^3*T2^5 + 2782*T1^4*T2^5 - 9995*T1^5*T2^5 + 
      6937*T1^6*T2^5 - 277*T1^7*T2^5 - 2622*T1^8*T2^5 + 1400*T1^9*T2^5 - 
      45*T1^10*T2^5 - 76*T1^11*T2^5 - 25*T2^6 - 292*T1*T2^6 + 657*T1^2*T2^6 + 
      968*T1^3*T2^6 - 4846*T1^4*T2^6 + 6937*T1^5*T2^6 + 528*T1^6*T2^6 - 
      7121*T1^7*T2^6 + 5524*T1^8*T2^6 - 1156*T1^9*T2^6 - 675*T1^10*T2^6 + 
      268*T1^11*T2^6 + 23*T1^12*T2^6 + 84*T1*T2^7 + 75*T1^2*T2^7 - 
      1360*T1^3*T2^7 + 2626*T1^4*T2^7 - 277*T1^5*T2^7 - 7121*T1^6*T2^7 + 
      9811*T1^7*T2^7 - 3336*T1^8*T2^7 - 1588*T1^9*T2^7 + 1814*T1^10*T2^7 - 
      305*T1^11*T2^7 - 116*T1^12*T2^7 - 100*T1^2*T2^8 + 449*T1^3*T2^8 + 
      3*T1^4*T2^8 - 2622*T1^5*T2^8 + 5524*T1^6*T2^8 - 3336*T1^7*T2^8 - 
      3632*T1^8*T2^8 + 4694*T1^9*T2^8 - 1965*T1^10*T2^8 - 151*T1^11*T2^8 + 
      268*T1^12*T2^8 + 11*T1^3*T2^9 - 471*T1^4*T2^9 + 1400*T1^5*T2^9 - 
      1156*T1^6*T2^9 - 1588*T1^7*T2^9 + 4694*T1^8*T2^9 - 2608*T1^9*T2^9 - 
      118*T1^10*T2^9 + 929*T1^11*T2^9 - 361*T1^12*T2^9 + 84*T1^4*T2^10 - 
      45*T1^5*T2^10 - 675*T1^6*T2^10 + 1814*T1^7*T2^10 - 1965*T1^8*T2^10 - 
      118*T1^9*T2^10 + 1257*T1^10*T2^10 - 965*T1^11*T2^10 + 268*T1^12*T2^10 - 
      76*T1^5*T2^11 + 268*T1^6*T2^11 - 305*T1^7*T2^11 - 151*T1^8*T2^11 + 
      929*T1^9*T2^11 - 965*T1^10*T2^11 + 508*T1^11*T2^11 - 116*T1^12*T2^11 + 
      23*T1^6*T2^12 - 116*T1^7*T2^12 + 268*T1^8*T2^12 - 361*T1^9*T2^12 + 
      268*T1^10*T2^12 - 116*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 120] -> 
  {((2 - 3*T + 2*T^2)*(4 - 7*T + 4*T^2))/T^2, 
   (88 - 206*T1 + 274*T1^2 - 206*T1^3 + 88*T1^4 - 206*T2 - 1408*T1*T2 + 
     5262*T1^2*T2 - 7842*T1^3*T2 + 5664*T1^4*T2 - 1870*T1^5*T2 + 274*T2^2 + 
     5262*T1*T2^2 - 12885*T1^2*T2^2 + 9901*T1^3*T2^2 + 4283*T1^4*T2^2 - 
     10130*T1^5*T2^2 + 5010*T1^6*T2^2 - 206*T2^3 - 7842*T1*T2^3 + 
     9901*T1^2*T2^3 + 9176*T1^3*T2^3 - 30214*T1^4*T2^3 + 19521*T1^5*T2^3 + 
     686*T1^6*T2^3 - 5198*T1^7*T2^3 + 88*T2^4 + 5664*T1*T2^4 + 
     4283*T1^2*T2^4 - 30214*T1^3*T2^4 + 33720*T1^4*T2^4 + 2338*T1^5*T2^4 - 
     21397*T1^6*T2^4 + 9824*T1^7*T2^4 + 2136*T1^8*T2^4 - 1870*T1*T2^5 - 
     10130*T1^2*T2^5 + 19521*T1^3*T2^5 + 2338*T1^4*T2^5 - 37052*T1^5*T2^5 + 
     29141*T1^6*T2^5 - 1602*T1^7*T2^5 - 6862*T1^8*T2^5 + 5010*T1^2*T2^6 + 
     686*T1^3*T2^6 - 21397*T1^4*T2^6 + 29141*T1^5*T2^6 - 4229*T1^6*T2^6 - 
     14706*T1^7*T2^6 + 9746*T1^8*T2^6 - 5198*T1^3*T2^7 + 9824*T1^4*T2^7 - 
     1602*T1^5*T2^7 - 14706*T1^6*T2^7 + 16896*T1^7*T2^7 - 6862*T1^8*T2^7 + 
     2136*T1^4*T2^8 - 6862*T1^5*T2^8 + 9746*T1^6*T2^8 - 6862*T1^7*T2^8 + 
     2136*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 121] -> {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/
    T^3, (-15 + 84*T1 - 208*T1^2 + 271*T1^3 - 208*T1^4 + 84*T1^5 - 15*T1^6 + 
     84*T2 - 430*T1*T2 + 936*T1^2*T2 - 946*T1^3*T2 + 418*T1^4*T2 + 
     100*T1^5*T2 - 144*T1^6*T2 + 40*T1^7*T2 - 208*T2^2 + 936*T1*T2^2 - 
     1590*T1^2*T2^2 + 531*T1^3*T2^2 + 1324*T1^4*T2^2 - 2061*T1^5*T2^2 + 
     1110*T1^6*T2^2 - 252*T1^7*T2^2 + 8*T1^8*T2^2 + 271*T2^3 - 946*T1*T2^3 + 
     531*T1^2*T2^3 + 2989*T1^3*T2^3 - 5883*T1^4*T2^3 + 4551*T1^5*T2^3 - 
     527*T1^6*T2^3 - 1278*T1^7*T2^3 + 770*T1^8*T2^3 - 149*T1^9*T2^3 - 
     208*T2^4 + 418*T1*T2^4 + 1324*T1^2*T2^4 - 5883*T1^3*T2^4 + 
     6458*T1^4*T2^4 + 200*T1^5*T2^4 - 6622*T1^6*T2^4 + 5807*T1^7*T2^4 - 
     1314*T1^8*T2^4 - 418*T1^9*T2^4 + 224*T1^10*T2^4 + 84*T2^5 + 
     100*T1*T2^5 - 2061*T1^2*T2^5 + 4551*T1^3*T2^5 + 200*T1^4*T2^5 - 
     11678*T1^5*T2^5 + 14484*T1^6*T2^5 - 5713*T1^7*T2^5 - 3371*T1^8*T2^5 + 
     2880*T1^9*T2^5 - 472*T1^10*T2^5 - 136*T1^11*T2^5 - 15*T2^6 - 
     144*T1*T2^6 + 1110*T1^2*T2^6 - 527*T1^3*T2^6 - 6622*T1^4*T2^6 + 
     14484*T1^5*T2^6 - 6024*T1^6*T2^6 - 8672*T1^7*T2^6 + 13536*T1^8*T2^6 - 
     4337*T1^9*T2^6 - 650*T1^10*T2^6 + 560*T1^11*T2^6 + 33*T1^12*T2^6 + 
     40*T1*T2^7 - 252*T1^2*T2^7 - 1278*T1^3*T2^7 + 5807*T1^4*T2^7 - 
     5713*T1^5*T2^7 - 8672*T1^6*T2^7 + 17490*T1^7*T2^7 - 11626*T1^8*T2^7 - 
     2115*T1^9*T2^7 + 3663*T1^10*T2^7 - 824*T1^11*T2^7 - 180*T1^12*T2^7 + 
     8*T1^2*T2^8 + 770*T1^3*T2^8 - 1314*T1^4*T2^8 - 3371*T1^5*T2^8 + 
     13536*T1^6*T2^8 - 11626*T1^7*T2^8 + 456*T1^8*T2^8 + 8319*T1^9*T2^8 - 
     3952*T1^10*T2^8 - 66*T1^11*T2^8 + 440*T1^12*T2^8 - 149*T1^3*T2^9 - 
     418*T1^4*T2^9 + 2880*T1^5*T2^9 - 4337*T1^6*T2^9 - 2115*T1^7*T2^9 + 
     8319*T1^8*T2^9 - 7853*T1^9*T2^9 + 1071*T1^10*T2^9 + 1298*T1^11*T2^9 - 
     569*T1^12*T2^9 + 224*T1^4*T2^10 - 472*T1^5*T2^10 - 650*T1^6*T2^10 + 
     3663*T1^7*T2^10 - 3952*T1^8*T2^10 + 1071*T1^9*T2^10 + 2050*T1^10*T2^10 - 
     1660*T1^11*T2^10 + 440*T1^12*T2^10 - 136*T1^5*T2^11 + 560*T1^6*T2^11 - 
     824*T1^7*T2^11 - 66*T1^8*T2^11 + 1298*T1^9*T2^11 - 1660*T1^10*T2^11 + 
     846*T1^11*T2^11 - 180*T1^12*T2^11 + 33*T1^6*T2^12 - 180*T1^7*T2^12 + 
     440*T1^8*T2^12 - 569*T1^9*T2^12 + 440*T1^10*T2^12 - 180*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 122] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-25 + 137*T1 - 298*T1^2 + 385*T1^3 - 298*T1^4 + 137*T1^5 - 25*T1^6 + 
      137*T2 - 658*T1*T2 + 1125*T1^2*T2 - 1005*T1^3*T2 + 205*T1^4*T2 + 
      355*T1^5*T2 - 372*T1^6*T2 + 93*T1^7*T2 - 298*T2^2 + 1125*T1*T2^2 - 
      873*T1^2*T2^2 - 884*T1^3*T2^2 + 3017*T1^4*T2^2 - 2804*T1^5*T2^2 + 
      1239*T1^6*T2^2 + 69*T1^7*T2^2 - 106*T1^8*T2^2 + 385*T2^3 - 
      1005*T1*T2^3 - 884*T1^2*T2^3 + 4034*T1^3*T2^3 - 5620*T1^4*T2^3 + 
      2390*T1^5*T2^3 + 932*T1^6*T2^3 - 1916*T1^7*T2^3 + 513*T1^8*T2^3 + 
      13*T1^9*T2^3 - 298*T2^4 + 205*T1*T2^4 + 3017*T1^2*T2^4 - 
      5620*T1^3*T2^4 + 4381*T1^4*T2^4 + 2059*T1^5*T2^4 - 5035*T1^6*T2^4 + 
      3432*T1^7*T2^4 + 123*T1^8*T2^4 - 543*T1^9*T2^4 + 86*T1^10*T2^4 + 
      137*T2^5 + 355*T1*T2^5 - 2804*T1^2*T2^5 + 2390*T1^3*T2^5 + 
      2059*T1^4*T2^5 - 8122*T1^5*T2^5 + 6508*T1^6*T2^5 - 485*T1^7*T2^5 - 
      3536*T1^8*T2^5 + 1780*T1^9*T2^5 - 19*T1^10*T2^5 - 83*T1^11*T2^5 - 
      25*T2^6 - 372*T1*T2^6 + 1239*T1^2*T2^6 + 932*T1^3*T2^6 - 
      5035*T1^4*T2^6 + 6508*T1^5*T2^6 - 312*T1^6*T2^6 - 6148*T1^7*T2^6 + 
      5881*T1^8*T2^6 - 868*T1^9*T2^6 - 1205*T1^10*T2^6 + 332*T1^11*T2^6 + 
      23*T1^12*T2^6 + 93*T1*T2^7 + 69*T1^2*T2^7 - 1916*T1^3*T2^7 + 
      3432*T1^4*T2^7 - 485*T1^5*T2^7 - 6148*T1^6*T2^7 + 8482*T1^7*T2^7 - 
      3029*T1^8*T2^7 - 2494*T1^9*T2^7 + 2668*T1^10*T2^7 - 305*T1^11*T2^7 - 
      127*T1^12*T2^7 - 106*T1^2*T2^8 + 513*T1^3*T2^8 + 123*T1^4*T2^8 - 
      3536*T1^5*T2^8 + 5881*T1^6*T2^8 - 3029*T1^7*T2^8 - 3535*T1^8*T2^8 + 
      5516*T1^9*T2^8 - 2771*T1^10*T2^8 - 235*T1^11*T2^8 + 278*T1^12*T2^8 + 
      13*T1^3*T2^9 - 543*T1^4*T2^9 + 1780*T1^5*T2^9 - 868*T1^6*T2^9 - 
      2494*T1^7*T2^9 + 5516*T1^8*T2^9 - 3970*T1^9*T2^9 + 748*T1^10*T2^9 + 
      975*T1^11*T2^9 - 359*T1^12*T2^9 + 86*T1^4*T2^10 - 19*T1^5*T2^10 - 
      1205*T1^6*T2^10 + 2668*T1^7*T2^10 - 2771*T1^8*T2^10 + 748*T1^9*T2^10 + 
      907*T1^10*T2^10 - 1075*T1^11*T2^10 + 278*T1^12*T2^10 - 83*T1^5*T2^11 + 
      332*T1^6*T2^11 - 305*T1^7*T2^11 - 235*T1^8*T2^11 + 975*T1^9*T2^11 - 
      1075*T1^10*T2^11 + 618*T1^11*T2^11 - 127*T1^12*T2^11 + 23*T1^6*T2^12 - 
      127*T1^7*T2^12 + 278*T1^8*T2^12 - 359*T1^9*T2^12 + 278*T1^10*T2^12 - 
      127*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 123] -> {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   (2*(1 - 3*T1 + 3*T1^2 - 3*T1^3 + T1^4)^2*(1 + T1*T2)*
     (2 - 3*T1*T2 + 2*T1^2*T2^2)*(1 - 3*T2 + 3*T2^2 - 3*T2^3 + T2^4)^2*
     (1 - 3*T1*T2 + 3*T1^2*T2^2 - 3*T1^3*T2^3 + T1^4*T2^4))/(T1^9*T2^8)}, 
 Knot[10, 124] -> {(1 - T + T^3 - T^4 + T^5 - T^7 + T^8)/T^4, 
   (-8 + 8*T1 - 8*T1^3 + 8*T1^4 - 8*T1^5 + 8*T1^7 - 8*T1^8 + 8*T2 - T1*T2 - 
     7*T1^2*T2 + 8*T1^3*T2 - T1^4*T2 + T1^5*T2 + 7*T1^6*T2 - 8*T1^7*T2 + 
     T1^8*T2 + 7*T1^9*T2 - 7*T1*T2^2 + 7*T1^2*T2^2 - 7*T1^4*T2^2 + 
     7*T1^5*T2^2 - 7*T1^6*T2^2 + 7*T1^8*T2^2 - 7*T1^9*T2^2 - 8*T2^3 + 
     8*T1*T2^3 - 11*T1^3*T2^3 + 11*T1^4*T2^3 - 7*T1^5*T2^3 - 4*T1^6*T2^3 + 
     11*T1^7*T2^3 - 11*T1^8*T2^3 + 5*T1^10*T2^3 - 5*T1^11*T2^3 + 8*T2^4 - 
     T1*T2^4 - 7*T1^2*T2^4 + 11*T1^3*T2^4 - 2*T1^4*T2^4 - 2*T1^5*T2^4 + 
     10*T1^6*T2^4 - 8*T1^7*T2^4 + 2*T1^8*T2^4 + 9*T1^9*T2^4 - 5*T1^10*T2^4 + 
     T1^11*T2^4 + 4*T1^12*T2^4 - 8*T2^5 + T1*T2^5 + 7*T1^2*T2^5 - 
     7*T1^3*T2^5 - 2*T1^4*T2^5 + 2*T1^5*T2^5 - 5*T1^6*T2^5 + 3*T1^7*T2^5 + 
     2*T1^8*T2^5 - 7*T1^9*T2^5 - 2*T1^10*T2^5 + 4*T1^11*T2^5 - T1^12*T2^5 - 
     3*T1^13*T2^5 + 7*T1*T2^6 - 7*T1^2*T2^6 - 4*T1^3*T2^6 + 10*T1^4*T2^6 - 
     5*T1^5*T2^6 + T1^6*T2^6 + 3*T1^7*T2^6 - 7*T1^8*T2^6 + 3*T1^9*T2^6 + 
     6*T1^10*T2^6 - 4*T1^11*T2^6 - 3*T1^12*T2^6 + 3*T1^13*T2^6 + 8*T2^7 - 
     8*T1*T2^7 + 11*T1^3*T2^7 - 8*T1^4*T2^7 + 3*T1^5*T2^7 + 3*T1^6*T2^7 - 
     8*T1^7*T2^7 + 8*T1^8*T2^7 + 2*T1^9*T2^7 - 5*T1^10*T2^7 + T1^11*T2^7 + 
     3*T1^12*T2^7 - T1^14*T2^7 + T1^15*T2^7 - 8*T2^8 + T1*T2^8 + 
     7*T1^2*T2^8 - 11*T1^3*T2^8 + 2*T1^4*T2^8 + 2*T1^5*T2^8 - 7*T1^6*T2^8 + 
     8*T1^7*T2^8 - 8*T1^9*T2^8 + 3*T1^10*T2^8 + 2*T1^11*T2^8 - 2*T1^12*T2^8 - 
     T1^13*T2^8 + T1^14*T2^8 - T1^15*T2^8 + 7*T1*T2^9 - 7*T1^2*T2^9 + 
     9*T1^4*T2^9 - 7*T1^5*T2^9 + 3*T1^6*T2^9 + 2*T1^7*T2^9 - 8*T1^8*T2^9 + 
     8*T1^9*T2^9 + T1^10*T2^9 - 5*T1^11*T2^9 + 2*T1^12*T2^9 + T1^13*T2^9 + 
     5*T1^3*T2^10 - 5*T1^4*T2^10 - 2*T1^5*T2^10 + 6*T1^6*T2^10 - 
     5*T1^7*T2^10 + 3*T1^8*T2^10 + T1^9*T2^10 - 5*T1^10*T2^10 + 
     3*T1^11*T2^10 + 2*T1^12*T2^10 - 2*T1^13*T2^10 - T1^14*T2^10 + 
     T1^15*T2^10 - 5*T1^3*T2^11 + T1^4*T2^11 + 4*T1^5*T2^11 - 4*T1^6*T2^11 + 
     T1^7*T2^11 + 2*T1^8*T2^11 - 5*T1^9*T2^11 + 3*T1^10*T2^11 + 
     2*T1^11*T2^11 - 4*T1^12*T2^11 + T1^13*T2^11 + T1^14*T2^11 - 
     T1^15*T2^11 + 4*T1^4*T2^12 - T1^5*T2^12 - 3*T1^6*T2^12 + 3*T1^7*T2^12 - 
     2*T1^8*T2^12 + 2*T1^9*T2^12 + 2*T1^10*T2^12 - 4*T1^11*T2^12 + 
     2*T1^12*T2^12 + T1^13*T2^12 - T1^14*T2^12 + T1^15*T2^12 - 3*T1^5*T2^13 + 
     3*T1^6*T2^13 - T1^8*T2^13 + T1^9*T2^13 - 2*T1^10*T2^13 + T1^11*T2^13 + 
     T1^12*T2^13 - T1^13*T2^13 - T1^7*T2^14 + T1^8*T2^14 - T1^10*T2^14 + 
     T1^11*T2^14 - T1^12*T2^14 + T1^14*T2^14 - T1^15*T2^14 + T1^7*T2^15 - 
     T1^8*T2^15 + T1^10*T2^15 - T1^11*T2^15 + T1^12*T2^15 - T1^14*T2^15 + 
     T1^15*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[10, 125] -> {(1 - 2*T + 2*T^2 - T^3 + 2*T^4 - 2*T^5 + T^6)/T^3, 
   (-4 + 8*T1 - 8*T1^2 + 4*T1^3 - 8*T1^4 + 8*T1^5 - 4*T1^6 + 8*T2 - 
     10*T1*T2 + 4*T1^2*T2 + 4*T1^3*T2 + 10*T1^4*T2 - 4*T1^5*T2 - 4*T1^6*T2 + 
     6*T1^7*T2 - 8*T2^2 + 4*T1*T2^2 + 5*T1^2*T2^2 - 10*T1^3*T2^2 - 
     9*T1^4*T2^2 - 6*T1^5*T2^2 + 9*T1^6*T2^2 - 4*T1^7*T2^2 - 4*T1^8*T2^2 + 
     4*T2^3 + 4*T1*T2^3 - 10*T1^2*T2^3 + 7*T1^3*T2^3 + 8*T1^4*T2^3 + 
     8*T1^5*T2^3 - 3*T1^6*T2^3 - 4*T1^7*T2^3 + 6*T1^8*T2^3 + T1^9*T2^3 - 
     8*T2^4 + 10*T1*T2^4 - 9*T1^2*T2^4 + 8*T1^3*T2^4 - 11*T1^4*T2^4 - 
     3*T1^5*T2^4 + T1^6*T2^4 + 4*T1^7*T2^4 - T1^8*T2^4 - 2*T1^9*T2^4 + 
     8*T2^5 - 4*T1*T2^5 - 6*T1^2*T2^5 + 8*T1^3*T2^5 - 3*T1^4*T2^5 + 
     8*T1^5*T2^5 - 4*T1^6*T2^5 - 7*T1^7*T2^5 - 4*T1^9*T2^5 + 4*T1^10*T2^5 - 
     2*T1^11*T2^5 - 4*T2^6 - 4*T1*T2^6 + 9*T1^2*T2^6 - 3*T1^3*T2^6 + 
     T1^4*T2^6 - 4*T1^5*T2^6 + 8*T1^7*T2^6 + 5*T1^8*T2^6 + 7*T1^9*T2^6 - 
     3*T1^10*T2^6 + 2*T1^12*T2^6 + 6*T1*T2^7 - 4*T1^2*T2^7 - 4*T1^3*T2^7 + 
     4*T1^4*T2^7 - 7*T1^5*T2^7 + 8*T1^6*T2^7 - 4*T1^7*T2^7 - 11*T1^8*T2^7 - 
     4*T1^9*T2^7 - 2*T1^10*T2^7 + 4*T1^11*T2^7 - 4*T1^12*T2^7 - 4*T1^2*T2^8 + 
     6*T1^3*T2^8 - T1^4*T2^8 + 5*T1^6*T2^8 - 11*T1^7*T2^8 + 17*T1^8*T2^8 - 
     4*T1^9*T2^8 + 7*T1^10*T2^8 - 6*T1^11*T2^8 + 4*T1^12*T2^8 + T1^3*T2^9 - 
     2*T1^4*T2^9 - 4*T1^5*T2^9 + 7*T1^6*T2^9 - 4*T1^7*T2^9 - 4*T1^8*T2^9 - 
     3*T1^9*T2^9 + 2*T1^10*T2^9 - 2*T1^12*T2^9 + 4*T1^5*T2^10 - 
     3*T1^6*T2^10 - 2*T1^7*T2^10 + 7*T1^8*T2^10 + 2*T1^9*T2^10 + 
     T1^10*T2^10 - 4*T1^11*T2^10 + 4*T1^12*T2^10 - 2*T1^5*T2^11 + 
     4*T1^7*T2^11 - 6*T1^8*T2^11 - 4*T1^10*T2^11 + 6*T1^11*T2^11 - 
     4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 + 4*T1^8*T2^12 - 
     2*T1^9*T2^12 + 4*T1^10*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 126] -> 
  {(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + T^6)/T^3, 
   (-2 + 4*T1 - 8*T1^2 + 10*T1^3 - 8*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
     6*T1*T2 + 12*T1^2*T2 - 12*T1^3*T2 + 6*T1^4*T2 + 2*T1^7*T2 - 8*T2^2 + 
     12*T1*T2^2 - 19*T1^2*T2^2 + 17*T1^3*T2^2 - 5*T1^4*T2^2 - 7*T1^5*T2^2 + 
     5*T1^6*T2^2 - 4*T1^7*T2^2 + 10*T2^3 - 12*T1*T2^3 + 17*T1^2*T2^3 - 
     21*T1^3*T2^3 + 11*T1^4*T2^3 - 7*T1^5*T2^3 + 21*T1^6*T2^3 - 
     19*T1^7*T2^3 + 10*T1^8*T2^3 - 5*T1^9*T2^3 - 8*T2^4 + 6*T1*T2^4 - 
     5*T1^2*T2^4 + 11*T1^3*T2^4 + 8*T1^4*T2^4 - 8*T1^5*T2^4 - 4*T1^6*T2^4 - 
     9*T1^7*T2^4 + 19*T1^8*T2^4 - 6*T1^9*T2^4 + 8*T1^10*T2^4 + 4*T2^5 - 
     7*T1^2*T2^5 - 7*T1^3*T2^5 - 8*T1^4*T2^5 - 24*T1^5*T2^5 + 42*T1^6*T2^5 - 
     24*T1^7*T2^5 + 7*T1^8*T2^5 - 19*T1^9*T2^5 - 4*T1^10*T2^5 - 
     6*T1^11*T2^5 - 2*T2^6 + 5*T1^2*T2^6 + 21*T1^3*T2^6 - 4*T1^4*T2^6 + 
     42*T1^5*T2^6 - 24*T1^6*T2^6 - 18*T1^7*T2^6 + 36*T1^8*T2^6 - 
     9*T1^9*T2^6 + 29*T1^10*T2^6 + 4*T1^11*T2^6 + 4*T1^12*T2^6 + 2*T1*T2^7 - 
     4*T1^2*T2^7 - 19*T1^3*T2^7 - 9*T1^4*T2^7 - 24*T1^5*T2^7 - 18*T1^6*T2^7 + 
     48*T1^7*T2^7 - 40*T1^8*T2^7 + 5*T1^9*T2^7 - 31*T1^10*T2^7 - 
     8*T1^11*T2^7 - 8*T1^12*T2^7 + 10*T1^3*T2^8 + 19*T1^4*T2^8 + 
     7*T1^5*T2^8 + 36*T1^6*T2^8 - 40*T1^7*T2^8 + 24*T1^8*T2^8 - 
     13*T1^9*T2^8 + 43*T1^10*T2^8 - 2*T1^11*T2^8 + 16*T1^12*T2^8 - 
     5*T1^3*T2^9 - 6*T1^4*T2^9 - 19*T1^5*T2^9 - 9*T1^6*T2^9 + 5*T1^7*T2^9 - 
     13*T1^8*T2^9 + 33*T1^9*T2^9 - 55*T1^10*T2^9 + 16*T1^11*T2^9 - 
     20*T1^12*T2^9 + 8*T1^4*T2^10 - 4*T1^5*T2^10 + 29*T1^6*T2^10 - 
     31*T1^7*T2^10 + 43*T1^8*T2^10 - 55*T1^9*T2^10 + 53*T1^10*T2^10 - 
     20*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 4*T1^6*T2^11 - 
     8*T1^7*T2^11 - 2*T1^8*T2^11 + 16*T1^9*T2^11 - 20*T1^10*T2^11 + 
     10*T1^11*T2^11 - 8*T1^12*T2^11 + 4*T1^6*T2^12 - 8*T1^7*T2^12 + 
     16*T1^8*T2^12 - 20*T1^9*T2^12 + 16*T1^10*T2^12 - 8*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 127] -> {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((-1 + 4*T1 - 6*T1^2 + 7*T1^3 - 6*T1^4 + 4*T1^5 - T1^6 + 4*T2 - 
      16*T1*T2 + 25*T1^2*T2 - 28*T1^3*T2 + 24*T1^4*T2 - 15*T1^5*T2 + 
      4*T1^6*T2 - 6*T2^2 + 25*T1*T2^2 - 36*T1^2*T2^2 + 25*T1^3*T2^2 - 
      10*T1^4*T2^2 - 11*T1^5*T2^2 + 24*T1^6*T2^2 - 23*T1^7*T2^2 + 
      6*T1^8*T2^2 + 7*T2^3 - 28*T1*T2^3 + 25*T1^2*T2^3 + 23*T1^3*T2^3 - 
      40*T1^4*T2^3 + 62*T1^5*T2^3 - 49*T1^6*T2^3 + 19*T1^7*T2^3 + 
      32*T1^8*T2^3 - 14*T1^9*T2^3 - 6*T2^4 + 24*T1*T2^4 - 10*T1^2*T2^4 - 
      40*T1^3*T2^4 - T1^4*T2^4 - T1^5*T2^4 - 49*T1^6*T2^4 + 72*T1^7*T2^4 - 
      90*T1^8*T2^4 - 16*T1^9*T2^4 + 18*T1^10*T2^4 + 4*T2^5 - 15*T1*T2^5 - 
      11*T1^2*T2^5 + 62*T1^3*T2^5 - T1^4*T2^5 + 58*T1^5*T2^5 - 16*T1^6*T2^5 + 
      35*T1^7*T2^5 - 20*T1^8*T2^5 + 115*T1^9*T2^5 - 7*T1^10*T2^5 - 
      16*T1^11*T2^5 - T2^6 + 4*T1*T2^6 + 24*T1^2*T2^6 - 49*T1^3*T2^6 - 
      49*T1^4*T2^6 - 16*T1^5*T2^6 - 84*T1^6*T2^6 + 64*T1^7*T2^6 - 
      101*T1^8*T2^6 + 5*T1^9*T2^6 - 124*T1^10*T2^6 + 44*T1^11*T2^6 + 
      5*T1^12*T2^6 - 23*T1^2*T2^7 + 19*T1^3*T2^7 + 72*T1^4*T2^7 + 
      35*T1^5*T2^7 + 64*T1^6*T2^7 - 10*T1^7*T2^7 + 71*T1^8*T2^7 - 
      10*T1^9*T2^7 + 145*T1^10*T2^7 - 15*T1^11*T2^7 - 20*T1^12*T2^7 + 
      6*T1^2*T2^8 + 32*T1^3*T2^8 - 90*T1^4*T2^8 - 20*T1^5*T2^8 - 
      101*T1^6*T2^8 + 71*T1^7*T2^8 - 149*T1^8*T2^8 + 92*T1^9*T2^8 - 
      170*T1^10*T2^8 - 8*T1^11*T2^8 + 30*T1^12*T2^8 - 14*T1^3*T2^9 - 
      16*T1^4*T2^9 + 115*T1^5*T2^9 + 5*T1^6*T2^9 - 10*T1^7*T2^9 + 
      92*T1^8*T2^9 - 67*T1^9*T2^9 + 109*T1^10*T2^9 + 44*T1^11*T2^9 - 
      35*T1^12*T2^9 + 18*T1^4*T2^10 - 7*T1^5*T2^10 - 124*T1^6*T2^10 + 
      145*T1^7*T2^10 - 170*T1^8*T2^10 + 109*T1^9*T2^10 - 64*T1^10*T2^10 - 
      55*T1^11*T2^10 + 30*T1^12*T2^10 - 16*T1^5*T2^11 + 44*T1^6*T2^11 - 
      15*T1^7*T2^11 - 8*T1^8*T2^11 + 44*T1^9*T2^11 - 55*T1^10*T2^11 + 
      64*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 20*T1^7*T2^12 + 
      30*T1^8*T2^12 - 35*T1^9*T2^12 + 30*T1^10*T2^12 - 20*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 128] -> {(2 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + 2*T^6)/T^3, 
   -((49 - 73*T1 + 24*T1^2 + 25*T1^3 + 24*T1^4 - 73*T1^5 + 49*T1^6 - 73*T2 + 
      48*T1*T2 + 55*T1^2*T2 - 67*T1^3*T2 - 67*T1^4*T2 + 79*T1^5*T2 + 
      18*T1^6*T2 - 61*T1^7*T2 + 24*T2^2 + 55*T1*T2^2 - 108*T1^2*T2^2 + 
      33*T1^3*T2^2 + 66*T1^4*T2^2 + 17*T1^5*T2^2 - 104*T1^6*T2^2 + 
      67*T1^7*T2^2 + 16*T1^8*T2^2 + 25*T2^3 - 67*T1*T2^3 + 33*T1^2*T2^3 + 
      41*T1^3*T2^3 - 30*T1^4*T2^3 - 54*T1^5*T2^3 + 59*T1^6*T2^3 + 
      12*T1^7*T2^3 - 43*T1^8*T2^3 + 13*T1^9*T2^3 + 24*T2^4 - 67*T1*T2^4 + 
      66*T1^2*T2^4 - 30*T1^3*T2^4 + 15*T1^4*T2^4 - 37*T1^5*T2^4 + 
      47*T1^6*T2^4 - 44*T1^7*T2^4 + 40*T1^8*T2^4 - 31*T1^9*T2^4 + 
      8*T1^10*T2^4 - 73*T2^5 + 79*T1*T2^5 + 17*T1^2*T2^5 - 54*T1^3*T2^5 - 
      37*T1^4*T2^5 + 86*T1^5*T2^5 - 28*T1^6*T2^5 - 20*T1^7*T2^5 - 
      10*T1^8*T2^5 + 18*T1^9*T2^5 + 7*T1^10*T2^5 - 13*T1^11*T2^5 + 49*T2^6 + 
      18*T1*T2^6 - 104*T1^2*T2^6 + 59*T1^3*T2^6 + 47*T1^4*T2^6 - 
      28*T1^5*T2^6 - 60*T1^6*T2^6 + 72*T1^7*T2^6 - 11*T1^8*T2^6 + 
      5*T1^9*T2^6 - 24*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 61*T1*T2^7 + 
      67*T1^2*T2^7 + 12*T1^3*T2^7 - 44*T1^4*T2^7 - 20*T1^5*T2^7 + 
      72*T1^6*T2^7 - 42*T1^7*T2^7 - 3*T1^8*T2^7 + 13*T1^10*T2^7 - 
      5*T1^11*T2^7 - T1^12*T2^7 + 16*T1^2*T2^8 - 43*T1^3*T2^8 + 
      40*T1^4*T2^8 - 10*T1^5*T2^8 - 11*T1^6*T2^8 - 3*T1^7*T2^8 + 
      21*T1^8*T2^8 - 24*T1^9*T2^8 + 14*T1^10*T2^8 - 7*T1^11*T2^8 + 
      13*T1^3*T2^9 - 31*T1^4*T2^9 + 18*T1^5*T2^9 + 5*T1^6*T2^9 - 
      24*T1^8*T2^9 + 23*T1^9*T2^9 - 3*T1^10*T2^9 - 7*T1^11*T2^9 + 
      T1^12*T2^9 + 8*T1^4*T2^10 + 7*T1^5*T2^10 - 24*T1^6*T2^10 + 
      13*T1^7*T2^10 + 14*T1^8*T2^10 - 3*T1^9*T2^10 - 20*T1^10*T2^10 + 
      19*T1^11*T2^10 - 13*T1^5*T2^11 + 18*T1^6*T2^11 - 5*T1^7*T2^11 - 
      7*T1^8*T2^11 - 7*T1^9*T2^11 + 19*T1^10*T2^11 - 12*T1^11*T2^11 - 
      T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 + T1^9*T2^12 - T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 129] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-17 + 50*T1 - 75*T1^2 + 50*T1^3 - 17*T1^4 + 50*T2 - 124*T1*T2 + 
     146*T1^2*T2 - 34*T1^3*T2 - 28*T1^4*T2 + 26*T1^5*T2 - 75*T2^2 + 
     146*T1*T2^2 - 77*T1^2*T2^2 - 151*T1^3*T2^2 + 175*T1^4*T2^2 - 
     70*T1^5*T2^2 - 3*T1^6*T2^2 + 50*T2^3 - 34*T1*T2^3 - 151*T1^2*T2^3 + 
     332*T1^3*T2^3 - 190*T1^4*T2^3 - 43*T1^5*T2^3 + 74*T1^6*T2^3 - 
     22*T1^7*T2^3 - 17*T2^4 - 28*T1*T2^4 + 175*T1^2*T2^4 - 190*T1^3*T2^4 - 
     12*T1^4*T2^4 + 218*T1^5*T2^4 - 113*T1^6*T2^4 + 20*T1^7*T2^4 + 
     15*T1^8*T2^4 + 26*T1*T2^5 - 70*T1^2*T2^5 - 43*T1^3*T2^5 + 
     218*T1^4*T2^5 - 304*T1^5*T2^5 + 65*T1^6*T2^5 + 38*T1^7*T2^5 - 
     46*T1^8*T2^5 - 3*T1^2*T2^6 + 74*T1^3*T2^6 - 113*T1^4*T2^6 + 
     65*T1^5*T2^6 + 139*T1^6*T2^6 - 142*T1^7*T2^6 + 69*T1^8*T2^6 - 
     22*T1^3*T2^7 + 20*T1^4*T2^7 + 38*T1^5*T2^7 - 142*T1^6*T2^7 + 
     116*T1^7*T2^7 - 46*T1^8*T2^7 + 15*T1^4*T2^8 - 46*T1^5*T2^8 + 
     69*T1^6*T2^8 - 46*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 130] -> {(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4)/T^2, 
   (-15 + 30*T1 - 37*T1^2 + 30*T1^3 - 15*T1^4 + 30*T2 - 46*T1*T2 + 
     46*T1^2*T2 - 26*T1^3*T2 + 2*T1^4*T2 + 14*T1^5*T2 - 37*T2^2 + 
     46*T1*T2^2 + 4*T1^2*T2^2 - 58*T1^3*T2^2 + 64*T1^4*T2^2 - 34*T1^5*T2^2 + 
     3*T1^6*T2^2 + 30*T2^3 - 26*T1*T2^3 - 58*T1^2*T2^3 + 50*T1^3*T2^3 + 
     14*T1^4*T2^3 - 58*T1^5*T2^3 + 30*T1^6*T2^3 - 18*T1^7*T2^3 - 15*T2^4 + 
     2*T1*T2^4 + 64*T1^2*T2^4 + 14*T1^3*T2^4 - 60*T1^4*T2^4 + 46*T1^5*T2^4 + 
     16*T1^6*T2^4 + 2*T1^7*T2^4 + 17*T1^8*T2^4 + 14*T1*T2^5 - 34*T1^2*T2^5 - 
     58*T1^3*T2^5 + 46*T1^4*T2^5 + 10*T1^5*T2^5 - 58*T1^6*T2^5 + 
     22*T1^7*T2^5 - 34*T1^8*T2^5 + 3*T1^2*T2^6 + 30*T1^3*T2^6 + 
     16*T1^4*T2^6 - 58*T1^5*T2^6 + 76*T1^6*T2^6 - 50*T1^7*T2^6 + 
     43*T1^8*T2^6 - 18*T1^3*T2^7 + 2*T1^4*T2^7 + 22*T1^5*T2^7 - 
     50*T1^6*T2^7 + 50*T1^7*T2^7 - 34*T1^8*T2^7 + 17*T1^4*T2^8 - 
     34*T1^5*T2^8 + 43*T1^6*T2^8 - 34*T1^7*T2^8 + 17*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 131] -> 
  {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((-7 + 28*T1 - 39*T1^2 + 28*T1^3 - 7*T1^4 + 28*T2 - 116*T1*T2 + 
      176*T1^2*T2 - 128*T1^3*T2 + 44*T1^4*T2 - 4*T1^5*T2 - 39*T2^2 + 
      176*T1*T2^2 - 256*T1^2*T2^2 + 46*T1^3*T2^2 + 140*T1^4*T2^2 - 
      176*T1^5*T2^2 + 49*T1^6*T2^2 + 28*T2^3 - 128*T1*T2^3 + 46*T1^2*T2^3 + 
      528*T1^3*T2^3 - 664*T1^4*T2^3 + 398*T1^5*T2^3 + 80*T1^6*T2^3 - 
      68*T1^7*T2^3 - 7*T2^4 + 44*T1*T2^4 + 140*T1^2*T2^4 - 664*T1^3*T2^4 + 
      240*T1^4*T2^4 + 360*T1^5*T2^4 - 708*T1^6*T2^4 + 172*T1^7*T2^4 + 
      25*T1^8*T2^4 - 4*T1*T2^5 - 176*T1^2*T2^5 + 398*T1^3*T2^5 + 
      360*T1^4*T2^5 - 832*T1^5*T2^5 + 750*T1^6*T2^5 + 32*T1^7*T2^5 - 
      100*T1^8*T2^5 + 49*T1^2*T2^6 + 80*T1^3*T2^6 - 708*T1^4*T2^6 + 
      750*T1^5*T2^6 - 312*T1^6*T2^6 - 272*T1^7*T2^6 + 137*T1^8*T2^6 - 
      68*T1^3*T2^7 + 172*T1^4*T2^7 + 32*T1^5*T2^7 - 272*T1^6*T2^7 + 
      332*T1^7*T2^7 - 100*T1^8*T2^7 + 25*T1^4*T2^8 - 100*T1^5*T2^8 + 
      137*T1^6*T2^8 - 100*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 132] -> 
  {(1 - T + T^2 - T^3 + T^4)/T^2, (-2 + 2*T1 - 2*T1^2 + 2*T1^3 - 2*T1^4 + 
     2*T2 + T1*T2 - 2*T1^3*T2 + 3*T1^4*T2 + T1^5*T2 - 2*T2^2 + 4*T1^2*T2^2 - 
     6*T1^3*T2^2 + 4*T1^4*T2^2 - 2*T1^5*T2^2 + 2*T2^3 - 2*T1*T2^3 - 
     6*T1^2*T2^3 + 4*T1^4*T2^3 - 7*T1^5*T2^3 - T1^7*T2^3 - 2*T2^4 + 
     3*T1*T2^4 + 4*T1^2*T2^4 + 4*T1^3*T2^4 + 6*T1^6*T2^4 + T1^7*T2^4 + 
     2*T1^8*T2^4 + T1*T2^5 - 2*T1^2*T2^5 - 7*T1^3*T2^5 + 4*T1^5*T2^5 - 
     8*T1^6*T2^5 - 2*T1^8*T2^5 + 6*T1^4*T2^6 - 8*T1^5*T2^6 + 6*T1^6*T2^6 - 
     2*T1^7*T2^6 + 2*T1^8*T2^6 - T1^3*T2^7 + T1^4*T2^7 - 2*T1^6*T2^7 + 
     3*T1^7*T2^7 - 2*T1^8*T2^7 + 2*T1^4*T2^8 - 2*T1^5*T2^8 + 2*T1^6*T2^8 - 
     2*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 133] -> {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   -((-1 + 5*T1 - 7*T1^2 + 5*T1^3 - T1^4 + 5*T2 - 23*T1*T2 + 36*T1^2*T2 - 
      24*T1^3*T2 + 7*T1^4*T2 - 7*T2^2 + 36*T1*T2^2 - 67*T1^2*T2^2 + 
      21*T1^3*T2^2 + 17*T1^4*T2^2 - 34*T1^5*T2^2 + 7*T1^6*T2^2 + 5*T2^3 - 
      24*T1*T2^3 + 21*T1^2*T2^3 + 146*T1^3*T2^3 - 184*T1^4*T2^3 + 
      126*T1^5*T2^3 + 16*T1^6*T2^3 - 10*T1^7*T2^3 - T2^4 + 7*T1*T2^4 + 
      17*T1^2*T2^4 - 184*T1^3*T2^4 + 60*T1^4*T2^4 + 96*T1^5*T2^4 - 
      205*T1^6*T2^4 + 37*T1^7*T2^4 + 3*T1^8*T2^4 - 34*T1^2*T2^5 + 
      126*T1^3*T2^5 + 96*T1^4*T2^5 - 234*T1^5*T2^5 + 231*T1^6*T2^5 + 
      6*T1^7*T2^5 - 15*T1^8*T2^5 + 7*T1^2*T2^6 + 16*T1^3*T2^6 - 
      205*T1^4*T2^6 + 231*T1^5*T2^6 - 121*T1^6*T2^6 - 54*T1^7*T2^6 + 
      21*T1^8*T2^6 - 10*T1^3*T2^7 + 37*T1^4*T2^7 + 6*T1^5*T2^7 - 
      54*T1^6*T2^7 + 67*T1^7*T2^7 - 15*T1^8*T2^7 + 3*T1^4*T2^8 - 
      15*T1^5*T2^8 + 21*T1^6*T2^8 - 15*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 134] -> 
  {(2 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + 2*T^6)/T^3, 
   -((49 - 97*T1 + 96*T1^2 - 71*T1^3 + 96*T1^4 - 97*T1^5 + 49*T1^6 - 97*T2 + 
      112*T1*T2 - 31*T1^2*T2 - 17*T1^3*T2 - 73*T1^4*T2 + 33*T1^5*T2 + 
      64*T1^6*T2 - 81*T1^7*T2 + 96*T2^2 - 31*T1*T2^2 - 70*T1^2*T2^2 + 
      58*T1^3*T2^2 + 68*T1^4*T2^2 + 42*T1^5*T2^2 - 102*T1^6*T2^2 + 
      33*T1^7*T2^2 + 64*T1^8*T2^2 - 71*T2^3 - 17*T1*T2^3 + 58*T1^2*T2^3 - 
      2*T1^3*T2^3 - 82*T1^4*T2^3 - 50*T1^5*T2^3 + 36*T1^6*T2^3 + 
      34*T1^7*T2^3 - 57*T1^8*T2^3 - 35*T1^9*T2^3 + 96*T2^4 - 73*T1*T2^4 + 
      68*T1^2*T2^4 - 82*T1^3*T2^4 + 132*T1^4*T2^4 - 36*T1^5*T2^4 + 
      44*T1^6*T2^4 - 34*T1^7*T2^4 + 36*T1^8*T2^4 + 7*T1^9*T2^4 + 
      32*T1^10*T2^4 - 97*T2^5 + 33*T1*T2^5 + 42*T1^2*T2^5 - 50*T1^3*T2^5 - 
      36*T1^4*T2^5 - 28*T1^5*T2^5 + 32*T1^6*T2^5 - 20*T1^7*T2^5 - 
      50*T1^8*T2^5 + 34*T1^9*T2^5 - 31*T1^10*T2^5 - 17*T1^11*T2^5 + 49*T2^6 + 
      64*T1*T2^6 - 102*T1^2*T2^6 + 36*T1^3*T2^6 + 44*T1^4*T2^6 + 
      32*T1^5*T2^6 - 12*T1^6*T2^6 - 32*T1^7*T2^6 + 76*T1^8*T2^6 - 
      20*T1^9*T2^6 - 6*T1^10*T2^6 + 32*T1^11*T2^6 + T1^12*T2^6 - 81*T1*T2^7 + 
      33*T1^2*T2^7 + 34*T1^3*T2^7 - 34*T1^4*T2^7 - 20*T1^5*T2^7 - 
      32*T1^6*T2^7 + 28*T1^7*T2^7 - 4*T1^8*T2^7 - 34*T1^9*T2^7 + 
      26*T1^10*T2^7 - 31*T1^11*T2^7 - T1^12*T2^7 + 64*T1^2*T2^8 - 
      57*T1^3*T2^8 + 36*T1^4*T2^8 - 50*T1^5*T2^8 + 76*T1^6*T2^8 - 
      4*T1^7*T2^8 - 12*T1^8*T2^8 - 2*T1^9*T2^8 + 4*T1^10*T2^8 + 
      23*T1^11*T2^8 - 35*T1^3*T2^9 + 7*T1^4*T2^9 + 34*T1^5*T2^9 - 
      20*T1^6*T2^9 - 34*T1^7*T2^9 - 2*T1^8*T2^9 + 18*T1^9*T2^9 + 
      10*T1^10*T2^9 - 33*T1^11*T2^9 + T1^12*T2^9 + 32*T1^4*T2^10 - 
      31*T1^5*T2^10 - 6*T1^6*T2^10 + 26*T1^7*T2^10 + 4*T1^8*T2^10 + 
      10*T1^9*T2^10 - 38*T1^10*T2^10 + 33*T1^11*T2^10 - 17*T1^5*T2^11 + 
      32*T1^6*T2^11 - 31*T1^7*T2^11 + 23*T1^8*T2^11 - 33*T1^9*T2^11 + 
      33*T1^10*T2^11 - 16*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - 
      T1^7*T2^12 + T1^9*T2^12 - T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 135] -> 
  {(3 - 9*T + 13*T^2 - 9*T^3 + 3*T^4)/T^2, 
   (-51 + 153*T1 - 221*T1^2 + 153*T1^3 - 51*T1^4 + 153*T2 - 389*T1*T2 + 
     448*T1^2*T2 - 146*T1^3*T2 - 65*T1^4*T2 + 72*T1^5*T2 - 221*T2^2 + 
     448*T1*T2^2 - 272*T1^2*T2^2 - 350*T1^3*T2^2 + 508*T1^4*T2^2 - 
     254*T1^5*T2^2 + 13*T1^6*T2^2 + 153*T2^3 - 146*T1*T2^3 - 350*T1^2*T2^3 + 
     940*T1^3*T2^3 - 662*T1^4*T2^3 + T1^5*T2^3 + 232*T1^6*T2^3 - 
     90*T1^7*T2^3 - 51*T2^4 - 65*T1*T2^4 + 508*T1^2*T2^4 - 662*T1^3*T2^4 + 
     48*T1^4*T2^4 + 634*T1^5*T2^4 - 482*T1^6*T2^4 + 97*T1^7*T2^4 + 
     57*T1^8*T2^4 + 72*T1*T2^5 - 254*T1^2*T2^5 + T1^3*T2^5 + 634*T1^4*T2^5 - 
     968*T1^5*T2^5 + 352*T1^6*T2^5 + 124*T1^7*T2^5 - 171*T1^8*T2^5 + 
     13*T1^2*T2^6 + 232*T1^3*T2^6 - 482*T1^4*T2^6 + 352*T1^5*T2^6 + 
     298*T1^6*T2^6 - 470*T1^7*T2^6 + 247*T1^8*T2^6 - 90*T1^3*T2^7 + 
     97*T1^4*T2^7 + 124*T1^5*T2^7 - 470*T1^6*T2^7 + 421*T1^7*T2^7 - 
     171*T1^8*T2^7 + 57*T1^4*T2^8 - 171*T1^5*T2^8 + 247*T1^6*T2^8 - 
     171*T1^7*T2^8 + 57*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 136] -> {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((-3 + 12*T1 - 15*T1^2 + 12*T1^3 - 3*T1^4 + 12*T2 - 40*T1*T2 + 
      29*T1^2*T2 - 7*T1^3*T2 - 20*T1^4*T2 + 8*T1^5*T2 - 15*T2^2 + 
      29*T1*T2^2 + 37*T1^2*T2^2 - 75*T1^3*T2^2 + 77*T1^4*T2^2 - 
      11*T1^5*T2^2 - 5*T1^6*T2^2 + 12*T2^3 - 7*T1*T2^3 - 75*T1^2*T2^3 + 
      88*T1^3*T2^3 - 32*T1^4*T2^3 - 35*T1^5*T2^3 + 21*T1^6*T2^3 - 3*T2^4 - 
      20*T1*T2^4 + 77*T1^2*T2^4 - 32*T1^3*T2^4 - 72*T1^4*T2^4 + 
      80*T1^5*T2^4 - 31*T1^6*T2^4 - 4*T1^7*T2^4 + T1^8*T2^4 + 8*T1*T2^5 - 
      11*T1^2*T2^5 - 35*T1^3*T2^5 + 80*T1^4*T2^5 - 40*T1^5*T2^5 + 
      5*T1^6*T2^5 + 17*T1^7*T2^5 - 4*T1^8*T2^5 - 5*T1^2*T2^6 + 21*T1^3*T2^6 - 
      31*T1^4*T2^6 + 5*T1^5*T2^6 + 9*T1^6*T2^6 - 19*T1^7*T2^6 + 5*T1^8*T2^6 - 
      4*T1^4*T2^7 + 17*T1^5*T2^7 - 19*T1^6*T2^7 + 16*T1^7*T2^7 - 
      4*T1^8*T2^7 + T1^4*T2^8 - 4*T1^5*T2^8 + 5*T1^6*T2^8 - 4*T1^7*T2^8 + 
      T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 137] -> {(1 - 3*T + T^2)^2/T^2, 
   (2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-1 + 3*T1 - T1^2 + 3*T2 - 8*T1*T2 + 4*T1^2*T2 - T2^2 + 4*T1*T2^2 - 
      6*T1^2*T2^2 - 2*T1^3*T2^2 + T1^4*T2^2 - 2*T1^2*T2^3 + 10*T1^3*T2^3 - 
      3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + T1^4*T2^4))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 138] -> 
  {((1 - 3*T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3, 
   (-4 + 20*T1 - 32*T1^2 + 28*T1^3 - 32*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 85*T1^2*T2 - 20*T1^3*T2 + 55*T1^4*T2 + 20*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 32*T2^2 + 85*T1*T2^2 + 101*T1^2*T2^2 - 
     290*T1^3*T2^2 + 135*T1^4*T2^2 - 322*T1^5*T2^2 + 213*T1^6*T2^2 + 
     5*T1^7*T2^2 - 16*T1^8*T2^2 + 28*T2^3 - 20*T1*T2^3 - 290*T1^2*T2^3 + 
     365*T1^3*T2^3 - 20*T1^4*T2^3 + 307*T1^5*T2^3 + 13*T1^6*T2^3 - 
     218*T1^7*T2^3 + 45*T1^8*T2^3 + 7*T1^9*T2^3 - 32*T2^4 + 55*T1*T2^4 + 
     135*T1^2*T2^4 - 20*T1^3*T2^4 - 377*T1^4*T2^4 + 49*T1^5*T2^4 - 
     293*T1^6*T2^4 + 246*T1^7*T2^4 + 41*T1^8*T2^4 - 35*T1^9*T2^4 + 20*T2^5 + 
     20*T1*T2^5 - 322*T1^2*T2^5 + 307*T1^3*T2^5 + 49*T1^4*T2^5 + 
     335*T1^5*T2^5 - 235*T1^6*T2^5 + 81*T1^7*T2^5 - 142*T1^8*T2^5 + 
     22*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     213*T1^2*T2^6 + 13*T1^3*T2^6 - 293*T1^4*T2^6 - 235*T1^5*T2^6 + 
     156*T1^6*T2^6 + 179*T1^7*T2^6 - 49*T1^8*T2^6 + 131*T1^9*T2^6 - 
     111*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     5*T1^2*T2^7 - 218*T1^3*T2^7 + 246*T1^4*T2^7 + 81*T1^5*T2^7 + 
     179*T1^6*T2^7 - 391*T1^7*T2^7 + 113*T1^8*T2^7 - 203*T1^9*T2^7 + 
     126*T1^10*T2^7 + 10*T1^11*T2^7 - 10*T1^12*T2^7 - 16*T1^2*T2^8 + 
     45*T1^3*T2^8 + 41*T1^4*T2^8 - 142*T1^5*T2^8 - 49*T1^6*T2^8 + 
     113*T1^7*T2^8 + 35*T1^8*T2^8 + 124*T1^9*T2^8 - 53*T1^10*T2^8 - 
     45*T1^11*T2^8 + 16*T1^12*T2^8 + 7*T1^3*T2^9 - 35*T1^4*T2^9 + 
     22*T1^5*T2^9 + 131*T1^6*T2^9 - 203*T1^7*T2^9 + 124*T1^8*T2^9 - 
     221*T1^9*T2^9 + 94*T1^10*T2^9 + 30*T1^11*T2^9 - 14*T1^12*T2^9 + 
     25*T1^5*T2^10 - 111*T1^6*T2^10 + 126*T1^7*T2^10 - 53*T1^8*T2^10 + 
     94*T1^9*T2^10 + T1^10*T2^10 - 55*T1^11*T2^10 + 16*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 + 10*T1^7*T2^11 - 45*T1^8*T2^11 + 
     30*T1^9*T2^11 - 55*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 16*T1^8*T2^12 - 14*T1^9*T2^12 + 
     16*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 139] -> 
  {((1 - T + T^2)*(1 - T^2 + T^3 - T^4 + T^6))/T^4, 
   (-8 + 8*T1 - 16*T1^3 + 24*T1^4 - 16*T1^5 + 8*T1^7 - 8*T1^8 + 8*T2 - 
     T1*T2 - 7*T1^2*T2 + 16*T1^3*T2 - 10*T1^4*T2 - 5*T1^5*T2 + 14*T1^6*T2 - 
     8*T1^7*T2 + T1^8*T2 + 7*T1^9*T2 - 7*T1*T2^2 + 7*T1^2*T2^2 - 
     14*T1^4*T2^2 + 21*T1^5*T2^2 - 14*T1^6*T2^2 + 7*T1^8*T2^2 - 7*T1^9*T2^2 - 
     16*T2^3 + 16*T1*T2^3 - 36*T1^3*T2^3 + 50*T1^4*T2^3 - 28*T1^5*T2^3 - 
     16*T1^6*T2^3 + 38*T1^7*T2^3 - 30*T1^8*T2^3 + 10*T1^10*T2^3 - 
     10*T1^11*T2^3 + 24*T2^4 - 10*T1*T2^4 - 14*T1^2*T2^4 + 50*T1^3*T2^4 - 
     39*T1^4*T2^4 - 2*T1^5*T2^4 + 39*T1^6*T2^4 - 26*T1^7*T2^4 - 3*T1^8*T2^4 + 
     30*T1^9*T2^4 - 10*T1^10*T2^4 - 2*T1^11*T2^4 + 12*T1^12*T2^4 - 16*T2^5 - 
     5*T1*T2^5 + 21*T1^2*T2^5 - 28*T1^3*T2^5 - 2*T1^4*T2^5 + 33*T1^5*T2^5 - 
     33*T1^6*T2^5 - 5*T1^7*T2^5 + 25*T1^8*T2^5 - 23*T1^9*T2^5 - 
     8*T1^10*T2^5 + 12*T1^11*T2^5 - 6*T1^12*T2^5 - 6*T1^13*T2^5 + 
     14*T1*T2^6 - 14*T1^2*T2^6 - 16*T1^3*T2^6 + 39*T1^4*T2^6 - 33*T1^5*T2^6 - 
     11*T1^6*T2^6 + 47*T1^7*T2^6 - 35*T1^8*T2^6 - T1^9*T2^6 + 23*T1^10*T2^6 - 
     16*T1^11*T2^6 - 6*T1^12*T2^6 + 6*T1^13*T2^6 + 8*T2^7 - 8*T1*T2^7 + 
     38*T1^3*T2^7 - 26*T1^4*T2^7 - 5*T1^5*T2^7 + 47*T1^6*T2^7 - 
     43*T1^7*T2^7 + T1^8*T2^7 + 35*T1^9*T2^7 - 25*T1^10*T2^7 + 7*T1^11*T2^7 + 
     18*T1^12*T2^7 - T1^14*T2^7 + T1^15*T2^7 - 8*T2^8 + T1*T2^8 + 
     7*T1^2*T2^8 - 30*T1^3*T2^8 - 3*T1^4*T2^8 + 25*T1^5*T2^8 - 35*T1^6*T2^8 + 
     T1^7*T2^8 + 36*T1^8*T2^8 - 37*T1^9*T2^8 + T1^10*T2^8 + 15*T1^11*T2^8 - 
     23*T1^12*T2^8 - 6*T1^13*T2^8 + T1^14*T2^8 - T1^15*T2^8 + 7*T1*T2^9 - 
     7*T1^2*T2^9 + 30*T1^4*T2^9 - 23*T1^5*T2^9 - T1^6*T2^9 + 35*T1^7*T2^9 - 
     37*T1^8*T2^9 + 7*T1^9*T2^9 + 23*T1^10*T2^9 - 21*T1^11*T2^9 + 
     10*T1^12*T2^9 + 10*T1^13*T2^9 + 10*T1^3*T2^10 - 10*T1^4*T2^10 - 
     8*T1^5*T2^10 + 23*T1^6*T2^10 - 25*T1^7*T2^10 + T1^8*T2^10 + 
     23*T1^9*T2^10 - 23*T1^10*T2^10 + 7*T1^11*T2^10 + 7*T1^12*T2^10 - 
     8*T1^13*T2^10 - 2*T1^14*T2^10 + 2*T1^15*T2^10 - 10*T1^3*T2^11 - 
     2*T1^4*T2^11 + 12*T1^5*T2^11 - 16*T1^6*T2^11 + 7*T1^7*T2^11 + 
     15*T1^8*T2^11 - 21*T1^9*T2^11 + 7*T1^10*T2^11 + 7*T1^11*T2^11 - 
     14*T1^12*T2^11 + 4*T1^13*T2^11 + 3*T1^14*T2^11 - 3*T1^15*T2^11 + 
     12*T1^4*T2^12 - 6*T1^5*T2^12 - 6*T1^6*T2^12 + 18*T1^7*T2^12 - 
     23*T1^8*T2^12 + 10*T1^9*T2^12 + 7*T1^10*T2^12 - 14*T1^11*T2^12 + 
     13*T1^12*T2^12 - 2*T1^13*T2^12 - 2*T1^14*T2^12 + 2*T1^15*T2^12 - 
     6*T1^5*T2^13 + 6*T1^6*T2^13 - 6*T1^8*T2^13 + 10*T1^9*T2^13 - 
     8*T1^10*T2^13 + 4*T1^11*T2^13 - 2*T1^12*T2^13 - T1^7*T2^14 + 
     T1^8*T2^14 - 2*T1^10*T2^14 + 3*T1^11*T2^14 - 2*T1^12*T2^14 + 
     T1^14*T2^14 - T1^15*T2^14 + T1^7*T2^15 - T1^8*T2^15 + 2*T1^10*T2^15 - 
     3*T1^11*T2^15 + 2*T1^12*T2^15 - T1^14*T2^15 + T1^15*T2^15)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[10, 140] -> 
  {(1 - T + T^2)^2/T^2, (2*(-1 + 2*T1 - 3*T1^2 + 2*T1^3 - T1^4 + 2*T2 - 
      3*T1*T2 + 4*T1^2*T2 - T1^3*T2 + T1^5*T2 - 3*T2^2 + 4*T1*T2^2 + 
      T1^2*T2^2 - 8*T1^3*T2^2 + 7*T1^4*T2^2 - 2*T1^5*T2^2 + 2*T2^3 - 
      T1*T2^3 - 8*T1^2*T2^3 + 6*T1^3*T2^3 - 8*T1^5*T2^3 + 2*T1^6*T2^3 - 
      T1^7*T2^3 - T2^4 + 7*T1^2*T2^4 + 4*T1^5*T2^4 + 5*T1^6*T2^4 + 
      T1^8*T2^4 + T1*T2^5 - 2*T1^2*T2^5 - 8*T1^3*T2^5 + 4*T1^4*T2^5 - 
      2*T1^5*T2^5 - 8*T1^6*T2^5 + T1^7*T2^5 - 2*T1^8*T2^5 + 2*T1^3*T2^6 + 
      5*T1^4*T2^6 - 8*T1^5*T2^6 + 11*T1^6*T2^6 - 4*T1^7*T2^6 + 3*T1^8*T2^6 - 
      T1^3*T2^7 + T1^5*T2^7 - 4*T1^6*T2^7 + 3*T1^7*T2^7 - 2*T1^8*T2^7 + 
      T1^4*T2^8 - 2*T1^5*T2^8 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 141] -> 
  {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   -((-3 + 9*T1 - 12*T1^2 + 15*T1^3 - 12*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 18*T1^2*T2 - 21*T1^3*T2 + 6*T1^4*T2 - 3*T1^5*T2 - 
      9*T1^6*T2 + 6*T1^7*T2 - 12*T2^2 + 18*T1*T2^2 + 3*T1^2*T2^2 - 
      4*T1^3*T2^2 + 31*T1^4*T2^2 - 20*T1^5*T2^2 + 27*T1^6*T2^2 - 
      6*T1^7*T2^2 - 4*T1^8*T2^2 + 15*T2^3 - 21*T1*T2^3 - 4*T1^2*T2^3 - 
      3*T1^3*T2^3 - 15*T1^4*T2^3 - 12*T1^5*T2^3 + 3*T1^6*T2^3 - 
      16*T1^7*T2^3 + 12*T1^8*T2^3 - 12*T2^4 + 6*T1*T2^4 + 31*T1^2*T2^4 - 
      15*T1^3*T2^4 + 7*T1^4*T2^4 + 17*T1^5*T2^4 - 5*T1^6*T2^4 - 5*T1^7*T2^4 + 
      5*T1^8*T2^4 - 12*T1^9*T2^4 + 4*T1^10*T2^4 + 9*T2^5 - 3*T1*T2^5 - 
      20*T1^2*T2^5 - 12*T1^3*T2^5 + 17*T1^4*T2^5 + 3*T1^5*T2^5 - 
      9*T1^6*T2^5 + 33*T1^7*T2^5 - T1^8*T2^5 + 8*T1^9*T2^5 + 6*T1^10*T2^5 - 
      6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 27*T1^2*T2^6 + 3*T1^3*T2^6 - 
      5*T1^4*T2^6 - 9*T1^5*T2^6 - 36*T1^6*T2^6 + 17*T1^7*T2^6 - 
      65*T1^8*T2^6 + 21*T1^9*T2^6 - 25*T1^10*T2^6 + 9*T1^11*T2^6 + 
      3*T1^12*T2^6 + 6*T1*T2^7 - 6*T1^2*T2^7 - 16*T1^3*T2^7 - 5*T1^4*T2^7 + 
      33*T1^5*T2^7 + 17*T1^6*T2^7 + 5*T1^7*T2^7 + 49*T1^8*T2^7 + 
      6*T1^9*T2^7 + 12*T1^10*T2^7 + 3*T1^11*T2^7 - 9*T1^12*T2^7 - 
      4*T1^2*T2^8 + 12*T1^3*T2^8 + 5*T1^4*T2^8 - T1^5*T2^8 - 65*T1^6*T2^8 + 
      49*T1^7*T2^8 - 77*T1^8*T2^8 + 9*T1^9*T2^8 - 21*T1^10*T2^8 - 
      6*T1^11*T2^8 + 12*T1^12*T2^8 - 12*T1^4*T2^9 + 8*T1^5*T2^9 + 
      21*T1^6*T2^9 + 6*T1^7*T2^9 + 9*T1^8*T2^9 + 27*T1^9*T2^9 - 
      4*T1^10*T2^9 + 21*T1^11*T2^9 - 15*T1^12*T2^9 + 4*T1^4*T2^10 + 
      6*T1^5*T2^10 - 25*T1^6*T2^10 + 12*T1^7*T2^10 - 21*T1^8*T2^10 - 
      4*T1^9*T2^10 - T1^10*T2^10 - 18*T1^11*T2^10 + 12*T1^12*T2^10 - 
      6*T1^5*T2^11 + 9*T1^6*T2^11 + 3*T1^7*T2^11 - 6*T1^8*T2^11 + 
      21*T1^9*T2^11 - 18*T1^10*T2^11 + 21*T1^11*T2^11 - 9*T1^12*T2^11 + 
      3*T1^6*T2^12 - 9*T1^7*T2^12 + 12*T1^8*T2^12 - 15*T1^9*T2^12 + 
      12*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 142] -> 
  {((1 - T + T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   -((49 - 73*T1 + 48*T1^2 - 23*T1^3 + 48*T1^4 - 73*T1^5 + 49*T1^6 - 73*T2 + 
      48*T1*T2 + 19*T1^2*T2 - 25*T1^3*T2 - 43*T1^4*T2 + 49*T1^5*T2 + 
      18*T1^6*T2 - 61*T1^7*T2 + 48*T2^2 + 19*T1*T2^2 - 60*T1^2*T2^2 + 
      24*T1^3*T2^2 + 30*T1^4*T2^2 + 8*T1^5*T2^2 - 60*T1^6*T2^2 + 
      43*T1^7*T2^2 + 32*T1^8*T2^2 - 23*T2^3 - 25*T1*T2^3 + 24*T1^2*T2^3 + 
      8*T1^3*T2^3 - 23*T1^4*T2^3 - 11*T1^5*T2^3 + 20*T1^6*T2^3 + 
      6*T1^7*T2^3 - 31*T1^8*T2^3 - 11*T1^9*T2^3 + 48*T2^4 - 43*T1*T2^4 + 
      30*T1^2*T2^4 - 23*T1^3*T2^4 + 38*T1^4*T2^4 - 38*T1^5*T2^4 + 
      26*T1^6*T2^4 - 7*T1^7*T2^4 + 16*T1^8*T2^4 - 7*T1^9*T2^4 + 
      16*T1^10*T2^4 - 73*T2^5 + 49*T1*T2^5 + 8*T1^2*T2^5 - 11*T1^3*T2^5 - 
      38*T1^4*T2^5 + 52*T1^5*T2^5 - 14*T1^6*T2^5 - 22*T1^7*T2^5 - 
      15*T1^8*T2^5 + 18*T1^9*T2^5 - 5*T1^10*T2^5 - 13*T1^11*T2^5 + 49*T2^6 + 
      18*T1*T2^6 - 60*T1^2*T2^6 + 20*T1^3*T2^6 + 26*T1^4*T2^6 - 
      14*T1^5*T2^6 - 36*T1^6*T2^6 + 42*T1^7*T2^6 + 14*T1^8*T2^6 - 
      4*T1^9*T2^6 - 16*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 61*T1*T2^7 + 
      43*T1^2*T2^7 + 6*T1^3*T2^7 - 7*T1^4*T2^7 - 22*T1^5*T2^7 + 
      42*T1^6*T2^7 - 24*T1^7*T2^7 - 6*T1^8*T2^7 - 11*T1^9*T2^7 + 
      16*T1^10*T2^7 - 11*T1^11*T2^7 - T1^12*T2^7 + 32*T1^2*T2^8 - 
      31*T1^3*T2^8 + 16*T1^4*T2^8 - 15*T1^5*T2^8 + 14*T1^6*T2^8 - 
      6*T1^7*T2^8 + 2*T1^8*T2^8 + T1^9*T2^8 + 2*T1^10*T2^8 + 5*T1^11*T2^8 - 
      11*T1^3*T2^9 - 7*T1^4*T2^9 + 18*T1^5*T2^9 - 4*T1^6*T2^9 - 
      11*T1^7*T2^9 + T1^8*T2^9 + 8*T1^9*T2^9 - 13*T1^11*T2^9 + T1^12*T2^9 + 
      16*T1^4*T2^10 - 5*T1^5*T2^10 - 16*T1^6*T2^10 + 16*T1^7*T2^10 + 
      2*T1^8*T2^10 - 16*T1^10*T2^10 + 19*T1^11*T2^10 - 13*T1^5*T2^11 + 
      18*T1^6*T2^11 - 11*T1^7*T2^11 + 5*T1^8*T2^11 - 13*T1^9*T2^11 + 
      19*T1^10*T2^11 - 12*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - 
      T1^7*T2^12 + T1^9*T2^12 - T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 143] -> 
  {(1 - T + T^2)^3/T^3, (-2 + 6*T1 - 12*T1^2 + 14*T1^3 - 12*T1^4 + 6*T1^5 - 
     2*T1^6 + 6*T2 - 15*T1*T2 + 27*T1^2*T2 - 24*T1^3*T2 + 15*T1^4*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 12*T2^2 + 27*T1*T2^2 - 40*T1^2*T2^2 + 
     20*T1^3*T2^2 + 4*T1^4*T2^2 - 28*T1^5*T2^2 + 20*T1^6*T2^2 - 9*T1^7*T2^2 + 
     14*T2^3 - 24*T1*T2^3 + 20*T1^2*T2^3 + 13*T1^3*T2^3 - 27*T1^4*T2^3 + 
     18*T1^5*T2^3 + 19*T1^6*T2^3 - 34*T1^7*T2^3 + 21*T1^8*T2^3 - 
     7*T1^9*T2^3 - 12*T2^4 + 15*T1*T2^4 + 4*T1^2*T2^4 - 27*T1^3*T2^4 + 
     30*T1^4*T2^4 - 18*T1^6*T2^4 + 15*T1^7*T2^4 + 22*T1^8*T2^4 - 
     15*T1^9*T2^4 + 12*T1^10*T2^4 + 6*T2^5 - 28*T1^2*T2^5 + 18*T1^3*T2^5 - 
     67*T1^5*T2^5 + 53*T1^6*T2^5 - 36*T1^7*T2^5 - 33*T1^8*T2^5 + 
     2*T1^9*T2^5 - 9*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 
     20*T1^2*T2^6 + 19*T1^3*T2^6 - 18*T1^4*T2^6 + 53*T1^5*T2^6 + 
     48*T1^6*T2^6 - 73*T1^7*T2^6 + 126*T1^8*T2^6 - 23*T1^9*T2^6 + 
     20*T1^10*T2^6 + 15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 
     34*T1^3*T2^7 + 15*T1^4*T2^7 - 36*T1^5*T2^7 - 73*T1^6*T2^7 + 
     47*T1^7*T2^7 - 72*T1^8*T2^7 - 36*T1^9*T2^7 - 4*T1^10*T2^7 - 
     18*T1^11*T2^7 - 12*T1^12*T2^7 + 21*T1^3*T2^8 + 22*T1^4*T2^8 - 
     33*T1^5*T2^8 + 126*T1^6*T2^8 - 72*T1^7*T2^8 + 78*T1^8*T2^8 + 
     9*T1^9*T2^8 + 40*T1^10*T2^8 - 9*T1^11*T2^8 + 24*T1^12*T2^8 - 
     7*T1^3*T2^9 - 15*T1^4*T2^9 + 2*T1^5*T2^9 - 23*T1^6*T2^9 - 36*T1^7*T2^9 + 
     9*T1^8*T2^9 - 17*T1^9*T2^9 - 52*T1^10*T2^9 + 30*T1^11*T2^9 - 
     28*T1^12*T2^9 + 12*T1^4*T2^10 - 9*T1^5*T2^10 + 20*T1^6*T2^10 - 
     4*T1^7*T2^10 + 40*T1^8*T2^10 - 52*T1^9*T2^10 + 80*T1^10*T2^10 - 
     45*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     18*T1^7*T2^11 - 9*T1^8*T2^11 + 30*T1^9*T2^11 - 45*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     24*T1^8*T2^12 - 28*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 144] -> {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (-2*(-12 + 42*T1 - 56*T1^2 + 42*T1^3 - 12*T1^4 + 42*T2 - 149*T1*T2 + 
      198*T1^2*T2 - 147*T1^3*T2 + 46*T1^4*T2 - 3*T1^5*T2 - 56*T2^2 + 
      198*T1*T2^2 - 196*T1^2*T2^2 - 9*T1^3*T2^2 + 194*T1^4*T2^2 - 
      192*T1^5*T2^2 + 61*T1^6*T2^2 + 42*T2^3 - 147*T1*T2^3 - 9*T1^2*T2^3 + 
      414*T1^3*T2^3 - 496*T1^4*T2^3 + 251*T1^5*T2^3 + 108*T1^6*T2^3 - 
      93*T1^7*T2^3 - 12*T2^4 + 46*T1*T2^4 + 194*T1^2*T2^4 - 496*T1^3*T2^4 + 
      132*T1^4*T2^4 + 324*T1^5*T2^4 - 572*T1^6*T2^4 + 166*T1^7*T2^4 + 
      42*T1^8*T2^4 - 3*T1*T2^5 - 192*T1^2*T2^5 + 251*T1^3*T2^5 + 
      324*T1^4*T2^5 - 586*T1^5*T2^5 + 511*T1^6*T2^5 + 63*T1^7*T2^5 - 
      138*T1^8*T2^5 + 61*T1^2*T2^6 + 108*T1^3*T2^6 - 572*T1^4*T2^6 + 
      511*T1^5*T2^6 - 182*T1^6*T2^6 - 282*T1^7*T2^6 + 178*T1^8*T2^6 - 
      93*T1^3*T2^7 + 166*T1^4*T2^7 + 63*T1^5*T2^7 - 282*T1^6*T2^7 + 
      361*T1^7*T2^7 - 138*T1^8*T2^7 + 42*T1^4*T2^8 - 138*T1^5*T2^8 + 
      178*T1^6*T2^8 - 138*T1^7*T2^8 + 42*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 145] -> 
  {(1 + T - 3*T^2 + T^3 + T^4)/T^2, (-1 + 3*T1 - T1^2 - T1^3 + T1^4 + 3*T2 - 
     5*T1*T2 - 11*T1^2*T2 + 19*T1^3*T2 - 3*T1^4*T2 - 6*T1^5*T2 - T2^2 - 
     11*T1*T2^2 + 4*T1^2*T2^2 + 16*T1^3*T2^2 - 20*T1^4*T2^2 - T1^5*T2^2 + 
     3*T1^6*T2^2 - T2^3 + 19*T1*T2^3 + 16*T1^2*T2^3 - 36*T1^3*T2^3 + 
     12*T1^4*T2^3 + 9*T1^5*T2^3 + 5*T1^6*T2^3 + 4*T1^7*T2^3 + T2^4 - 
     3*T1*T2^4 - 20*T1^2*T2^4 + 12*T1^3*T2^4 + 24*T1^4*T2^4 - 29*T1^5*T2^4 - 
     3*T1^6*T2^4 + 4*T1^7*T2^4 - 6*T1*T2^5 - T1^2*T2^5 + 9*T1^3*T2^5 - 
     29*T1^4*T2^5 + 33*T1^5*T2^5 - 7*T1^6*T2^5 - 12*T1^7*T2^5 + 3*T1^2*T2^6 + 
     5*T1^3*T2^6 - 3*T1^4*T2^6 - 7*T1^5*T2^6 + 5*T1^6*T2^6 + 4*T1^7*T2^6 + 
     4*T1^3*T2^7 + 4*T1^4*T2^7 - 12*T1^5*T2^7 + 4*T1^6*T2^7 + 4*T1^7*T2^7)/
    (T1^4*T2^3*(-1 + T1*T2))}, Knot[10, 146] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-15 + 59*T1 - 95*T1^2 + 59*T1^3 - 15*T1^4 + 59*T2 - 206*T1*T2 + 
     270*T1^2*T2 - 66*T1^3*T2 - 46*T1^4*T2 + 27*T1^5*T2 - 95*T2^2 + 
     270*T1*T2^2 - 182*T1^2*T2^2 - 324*T1^3*T2^2 + 390*T1^4*T2^2 - 
     146*T1^5*T2^2 + 9*T1^6*T2^2 + 59*T2^3 - 66*T1*T2^3 - 324*T1^2*T2^3 + 
     956*T1^3*T2^3 - 748*T1^4*T2^3 + 92*T1^5*T2^3 + 110*T1^6*T2^3 - 
     37*T1^7*T2^3 - 15*T2^4 - 46*T1*T2^4 + 390*T1^2*T2^4 - 748*T1^3*T2^4 + 
     312*T1^4*T2^4 + 532*T1^5*T2^4 - 426*T1^6*T2^4 + 82*T1^7*T2^4 + 
     17*T1^8*T2^4 + 27*T1*T2^5 - 146*T1^2*T2^5 + 92*T1^3*T2^5 + 
     532*T1^4*T2^5 - 1172*T1^5*T2^5 + 508*T1^6*T2^5 + 30*T1^7*T2^5 - 
     69*T1^8*T2^5 + 9*T1^2*T2^6 + 110*T1^3*T2^6 - 426*T1^4*T2^6 + 
     508*T1^5*T2^6 + 146*T1^6*T2^6 - 306*T1^7*T2^6 + 113*T1^8*T2^6 - 
     37*T1^3*T2^7 + 82*T1^4*T2^7 + 30*T1^5*T2^7 - 306*T1^6*T2^7 + 
     242*T1^7*T2^7 - 69*T1^8*T2^7 + 17*T1^4*T2^8 - 69*T1^5*T2^8 + 
     113*T1^6*T2^8 - 69*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[10, 147] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((-23 + 79*T1 - 101*T1^2 + 79*T1^3 - 23*T1^4 + 79*T2 - 220*T1*T2 + 
      174*T1^2*T2 - 50*T1^3*T2 - 94*T1^4*T2 + 51*T1^5*T2 - 101*T2^2 + 
      174*T1*T2^2 + 113*T1^2*T2^2 - 317*T1^3*T2^2 + 365*T1^4*T2^2 - 
      78*T1^5*T2^2 - 29*T1^6*T2^2 + 79*T2^3 - 50*T1*T2^3 - 317*T1^2*T2^3 + 
      401*T1^3*T2^3 - 229*T1^4*T2^3 - 128*T1^5*T2^3 + 118*T1^6*T2^3 - 
      5*T1^7*T2^3 - 23*T2^4 - 94*T1*T2^4 + 365*T1^2*T2^4 - 229*T1^3*T2^4 - 
      132*T1^4*T2^4 + 345*T1^5*T2^4 - 177*T1^6*T2^4 - 10*T1^7*T2^4 + 
      9*T1^8*T2^4 + 51*T1*T2^5 - 78*T1^2*T2^5 - 128*T1^3*T2^5 + 
      345*T1^4*T2^5 - 285*T1^5*T2^5 + 61*T1^6*T2^5 + 90*T1^7*T2^5 - 
      33*T1^8*T2^5 - 29*T1^2*T2^6 + 118*T1^3*T2^6 - 177*T1^4*T2^6 + 
      61*T1^5*T2^6 + 75*T1^6*T2^6 - 134*T1^7*T2^6 + 43*T1^8*T2^6 - 
      5*T1^3*T2^7 - 10*T1^4*T2^7 + 90*T1^5*T2^7 - 134*T1^6*T2^7 + 
      116*T1^7*T2^7 - 33*T1^8*T2^7 + 9*T1^4*T2^8 - 33*T1^5*T2^8 + 
      43*T1^6*T2^8 - 33*T1^7*T2^8 + 9*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[10, 148] -> {(1 - 3*T + 7*T^2 - 9*T^3 + 7*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 14*T1^2 + 18*T1^3 - 14*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 33*T1^2*T2 - 33*T1^3*T2 + 15*T1^4*T2 + 3*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 14*T2^2 + 33*T1*T2^2 - 63*T1^2*T2^2 + 
     48*T1^3*T2^2 + T1^4*T2^2 - 36*T1^5*T2^2 + 21*T1^6*T2^2 - 9*T1^7*T2^2 + 
     18*T2^3 - 33*T1*T2^3 + 48*T1^2*T2^3 - 12*T1^3*T2^3 - 41*T1^4*T2^3 + 
     25*T1^5*T2^3 + 48*T1^6*T2^3 - 57*T1^7*T2^3 + 27*T1^8*T2^3 - 
     9*T1^9*T2^3 - 14*T2^4 + 15*T1*T2^4 + T1^2*T2^4 - 41*T1^3*T2^4 + 
     85*T1^4*T2^4 - 5*T1^5*T2^4 - 71*T1^6*T2^4 + 31*T1^7*T2^4 + 
     35*T1^8*T2^4 - 15*T1^9*T2^4 + 14*T1^10*T2^4 + 6*T2^5 + 3*T1*T2^5 - 
     36*T1^2*T2^5 + 25*T1^3*T2^5 - 5*T1^4*T2^5 - 197*T1^5*T2^5 + 
     241*T1^6*T2^5 - 110*T1^7*T2^5 - 29*T1^8*T2^5 - 15*T1^9*T2^5 - 
     15*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 21*T1^2*T2^6 + 
     48*T1^3*T2^6 - 71*T1^4*T2^6 + 241*T1^5*T2^6 - 84*T1^6*T2^6 - 
     149*T1^7*T2^6 + 235*T1^8*T2^6 - 48*T1^9*T2^6 + 53*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 57*T1^3*T2^7 + 
     31*T1^4*T2^7 - 110*T1^5*T2^7 - 149*T1^6*T2^7 + 289*T1^7*T2^7 - 
     215*T1^8*T2^7 - 23*T1^9*T2^7 - 36*T1^10*T2^7 - 27*T1^11*T2^7 - 
     12*T1^12*T2^7 + 27*T1^3*T2^8 + 35*T1^4*T2^8 - 29*T1^5*T2^8 + 
     235*T1^6*T2^8 - 215*T1^7*T2^8 + 79*T1^8*T2^8 + 43*T1^9*T2^8 + 
     69*T1^10*T2^8 - 3*T1^11*T2^8 + 28*T1^12*T2^8 - 9*T1^3*T2^9 - 
     15*T1^4*T2^9 - 15*T1^5*T2^9 - 48*T1^6*T2^9 - 23*T1^7*T2^9 + 
     43*T1^8*T2^9 + 12*T1^9*T2^9 - 120*T1^10*T2^9 + 45*T1^11*T2^9 - 
     36*T1^12*T2^9 + 14*T1^4*T2^10 - 15*T1^5*T2^10 + 53*T1^6*T2^10 - 
     36*T1^7*T2^10 + 69*T1^8*T2^10 - 120*T1^9*T2^10 + 137*T1^10*T2^10 - 
     57*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     27*T1^7*T2^11 - 3*T1^8*T2^11 + 45*T1^9*T2^11 - 57*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     28*T1^8*T2^12 - 36*T1^9*T2^12 + 28*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 149] -> {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((-1 + 5*T1 - 9*T1^2 + 11*T1^3 - 9*T1^4 + 5*T1^5 - T1^6 + 5*T2 - 
      25*T1*T2 + 47*T1^2*T2 - 56*T1^3*T2 + 44*T1^4*T2 - 23*T1^5*T2 + 
      5*T1^6*T2 - 9*T2^2 + 47*T1*T2^2 - 83*T1^2*T2^2 + 65*T1^3*T2^2 - 
      11*T1^4*T2^2 - 43*T1^5*T2^2 + 61*T1^6*T2^2 - 43*T1^7*T2^2 + 
      9*T1^8*T2^2 + 11*T2^3 - 56*T1*T2^3 + 65*T1^2*T2^3 + 72*T1^3*T2^3 - 
      192*T1^4*T2^3 + 246*T1^5*T2^3 - 162*T1^6*T2^3 + 38*T1^7*T2^3 + 
      64*T1^8*T2^3 - 22*T1^9*T2^3 - 9*T2^4 + 44*T1*T2^4 - 11*T1^2*T2^4 - 
      192*T1^3*T2^4 + 161*T1^4*T2^4 - 41*T1^5*T2^4 - 211*T1^6*T2^4 + 
      292*T1^7*T2^4 - 237*T1^8*T2^4 - 26*T1^9*T2^4 + 27*T1^10*T2^4 + 5*T2^5 - 
      23*T1*T2^5 - 43*T1^2*T2^5 + 246*T1^3*T2^5 - 41*T1^4*T2^5 - 
      45*T1^5*T2^5 + 195*T1^6*T2^5 - 32*T1^7*T2^5 - 100*T1^8*T2^5 + 
      308*T1^9*T2^5 - 33*T1^10*T2^5 - 20*T1^11*T2^5 - T2^6 + 5*T1*T2^6 + 
      61*T1^2*T2^6 - 162*T1^3*T2^6 - 211*T1^4*T2^6 + 195*T1^5*T2^6 - 
      264*T1^6*T2^6 - 7*T1^7*T2^6 + 39*T1^8*T2^6 - 138*T1^9*T2^6 - 
      223*T1^10*T2^6 + 75*T1^11*T2^6 + 5*T1^12*T2^6 - 43*T1^2*T2^7 + 
      38*T1^3*T2^7 + 292*T1^4*T2^7 - 32*T1^5*T2^7 - 7*T1^6*T2^7 + 
      233*T1^7*T2^7 - 23*T1^8*T2^7 - 54*T1^9*T2^7 + 389*T1^10*T2^7 - 
      53*T1^11*T2^7 - 25*T1^12*T2^7 + 9*T1^2*T2^8 + 64*T1^3*T2^8 - 
      237*T1^4*T2^8 - 100*T1^5*T2^8 + 39*T1^6*T2^8 - 23*T1^7*T2^8 - 
      333*T1^8*T2^8 + 384*T1^9*T2^8 - 463*T1^10*T2^8 - 6*T1^11*T2^8 + 
      45*T1^12*T2^8 - 22*T1^3*T2^9 - 26*T1^4*T2^9 + 308*T1^5*T2^9 - 
      138*T1^6*T2^9 - 54*T1^7*T2^9 + 384*T1^8*T2^9 - 372*T1^9*T2^9 + 
      281*T1^10*T2^9 + 94*T1^11*T2^9 - 55*T1^12*T2^9 + 27*T1^4*T2^10 - 
      33*T1^5*T2^10 - 223*T1^6*T2^10 + 389*T1^7*T2^10 - 463*T1^8*T2^10 + 
      281*T1^9*T2^10 - 79*T1^10*T2^10 - 123*T1^11*T2^10 + 45*T1^12*T2^10 - 
      20*T1^5*T2^11 + 75*T1^6*T2^11 - 53*T1^7*T2^11 - 6*T1^8*T2^11 + 
      94*T1^9*T2^11 - 123*T1^10*T2^11 + 105*T1^11*T2^11 - 25*T1^12*T2^11 + 
      5*T1^6*T2^12 - 25*T1^7*T2^12 + 45*T1^8*T2^12 - 55*T1^9*T2^12 + 
      45*T1^10*T2^12 - 25*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 150] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((-5 + 20*T1 - 30*T1^2 + 35*T1^3 - 30*T1^4 + 20*T1^5 - 5*T1^6 + 20*T2 - 
      64*T1*T2 + 56*T1^2*T2 - 44*T1^3*T2 + 8*T1^4*T2 + 16*T1^5*T2 - 
      44*T1^6*T2 + 16*T1^7*T2 - 30*T2^2 + 56*T1*T2^2 + 56*T1^2*T2^2 - 
      101*T1^3*T2^2 + 158*T1^4*T2^2 - 137*T1^5*T2^2 + 116*T1^6*T2^2 + 
      8*T1^7*T2^2 - 18*T1^8*T2^2 + 35*T2^3 - 44*T1*T2^3 - 101*T1^2*T2^3 + 
      69*T1^3*T2^3 - 88*T1^4*T2^3 + 14*T1^5*T2^3 - 3*T1^6*T2^3 - 
      107*T1^7*T2^3 + 16*T1^8*T2^3 + 14*T1^9*T2^3 - 30*T2^4 + 8*T1*T2^4 + 
      158*T1^2*T2^4 - 88*T1^3*T2^4 + 111*T1^4*T2^4 - 35*T1^5*T2^4 + 
      63*T1^6*T2^4 + 24*T1^7*T2^4 + 78*T1^8*T2^4 - 32*T1^9*T2^4 - 
      6*T1^10*T2^4 + 20*T2^5 + 16*T1*T2^5 - 137*T1^2*T2^5 + 14*T1^3*T2^5 - 
      35*T1^4*T2^5 + 4*T1^5*T2^5 - 70*T1^6*T2^5 + T1^7*T2^5 - 68*T1^8*T2^5 - 
      11*T1^9*T2^5 + 24*T1^10*T2^5 - 5*T2^6 - 44*T1*T2^6 + 116*T1^2*T2^6 - 
      3*T1^3*T2^6 + 63*T1^4*T2^6 - 70*T1^5*T2^6 + 84*T1^6*T2^6 + 
      10*T1^7*T2^6 + 11*T1^8*T2^6 + 51*T1^9*T2^6 - 32*T1^10*T2^6 - 
      4*T1^11*T2^6 + T1^12*T2^6 + 16*T1*T2^7 + 8*T1^2*T2^7 - 107*T1^3*T2^7 + 
      24*T1^4*T2^7 + T1^5*T2^7 + 10*T1^6*T2^7 - 64*T1^7*T2^7 + 37*T1^8*T2^7 - 
      58*T1^9*T2^7 + 19*T1^10*T2^7 + 16*T1^11*T2^7 - 4*T1^12*T2^7 - 
      18*T1^2*T2^8 + 16*T1^3*T2^8 + 78*T1^4*T2^8 - 68*T1^5*T2^8 + 
      11*T1^6*T2^8 + 37*T1^7*T2^8 - 37*T1^8*T2^8 + 44*T1^9*T2^8 - 
      2*T1^10*T2^8 - 24*T1^11*T2^8 + 6*T1^12*T2^8 + 14*T1^3*T2^9 - 
      32*T1^4*T2^9 - 11*T1^5*T2^9 + 51*T1^6*T2^9 - 58*T1^7*T2^9 + 
      44*T1^8*T2^9 - 21*T1^9*T2^9 - 17*T1^10*T2^9 + 28*T1^11*T2^9 - 
      7*T1^12*T2^9 - 6*T1^4*T2^10 + 24*T1^5*T2^10 - 32*T1^6*T2^10 + 
      19*T1^7*T2^10 - 2*T1^8*T2^10 - 17*T1^9*T2^10 + 28*T1^10*T2^10 - 
      24*T1^11*T2^10 + 6*T1^12*T2^10 - 4*T1^6*T2^11 + 16*T1^7*T2^11 - 
      24*T1^8*T2^11 + 28*T1^9*T2^11 - 24*T1^10*T2^11 + 16*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 
      7*T1^9*T2^12 + 6*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 151] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 40*T1^2 + 52*T1^3 - 40*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 88*T1^3*T2 + 4*T1^4*T2 + 56*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 40*T2^2 + 112*T1*T2^2 - 224*T1^2*T2^2 + 
     107*T1^3*T2^2 + 44*T1^4*T2^2 - 73*T1^5*T2^2 - 44*T1^6*T2^2 + 
     32*T1^7*T2^2 - 20*T1^8*T2^2 + 52*T2^3 - 88*T1*T2^3 + 107*T1^2*T2^3 + 
     239*T1^3*T2^3 - 309*T1^4*T2^3 + 65*T1^5*T2^3 + 225*T1^6*T2^3 - 
     83*T1^7*T2^3 + 28*T1^8*T2^3 + 13*T1^9*T2^3 - 40*T2^4 + 4*T1*T2^4 + 
     44*T1^2*T2^4 - 309*T1^3*T2^4 - 139*T1^4*T2^4 + 677*T1^5*T2^4 - 
     715*T1^6*T2^4 + 107*T1^7*T2^4 + 28*T1^8*T2^4 - 52*T1^9*T2^4 + 16*T2^5 + 
     56*T1*T2^5 - 73*T1^2*T2^5 + 65*T1^3*T2^5 + 677*T1^4*T2^5 - 
     966*T1^5*T2^5 + 444*T1^6*T2^5 + 337*T1^7*T2^5 - 225*T1^8*T2^5 + 
     77*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 - 
     44*T1^2*T2^6 + 225*T1^3*T2^6 - 715*T1^4*T2^6 + 444*T1^5*T2^6 + 
     384*T1^6*T2^6 - 804*T1^7*T2^6 + 313*T1^8*T2^6 - 13*T1^9*T2^6 - 
     40*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     32*T1^2*T2^7 - 83*T1^3*T2^7 + 107*T1^4*T2^7 + 337*T1^5*T2^7 - 
     804*T1^6*T2^7 + 606*T1^7*T2^7 - 3*T1^8*T2^7 - 183*T1^9*T2^7 + 
     67*T1^10*T2^7 - 8*T1^11*T2^7 - 8*T1^12*T2^7 - 20*T1^2*T2^8 + 
     28*T1^3*T2^8 + 28*T1^4*T2^8 - 225*T1^5*T2^8 + 313*T1^6*T2^8 - 
     3*T1^7*T2^8 - 263*T1^8*T2^8 + 191*T1^9*T2^8 + 12*T1^10*T2^8 - 
     28*T1^11*T2^8 + 20*T1^12*T2^8 + 13*T1^3*T2^9 - 52*T1^4*T2^9 + 
     77*T1^5*T2^9 - 13*T1^6*T2^9 - 183*T1^7*T2^9 + 191*T1^8*T2^9 - 
     27*T1^9*T2^9 - 113*T1^10*T2^9 + 64*T1^11*T2^9 - 26*T1^12*T2^9 + 
     16*T1^5*T2^10 - 40*T1^6*T2^10 + 67*T1^7*T2^10 + 12*T1^8*T2^10 - 
     113*T1^9*T2^10 + 140*T1^10*T2^10 - 64*T1^11*T2^10 + 20*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 - 8*T1^7*T2^11 - 28*T1^8*T2^11 + 
     64*T1^9*T2^11 - 64*T1^10*T2^11 + 28*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 20*T1^8*T2^12 - 26*T1^9*T2^12 + 
     20*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 152] -> 
  {(1 - T - T^2 + 4*T^3 - 5*T^4 + 4*T^5 - T^6 - T^7 + T^8)/T^4, 
   (-1 + T1 + T1^2 - 4*T1^3 + 5*T1^4 - 4*T1^5 + T1^6 + T1^7 - T1^8 + T2 - 
     2*T1*T2 + T1^2*T2 + 2*T1^3*T2 - 6*T1^4*T2 + 10*T1^5*T2 - 9*T1^6*T2 + 
     2*T1^7*T2 + 3*T1^8*T2 - 2*T1^9*T2 + T2^2 + T1*T2^2 - 3*T1^2*T2^2 + 
     10*T1^3*T2^2 - 21*T1^4*T2^2 + 30*T1^5*T2^2 - 33*T1^6*T2^2 + 
     33*T1^7*T2^2 - 13*T1^8*T2^2 - 10*T1^9*T2^2 + 12*T1^10*T2^2 - 4*T2^3 + 
     2*T1*T2^3 + 10*T1^2*T2^3 - 36*T1^3*T2^3 + 48*T1^4*T2^3 - 24*T1^5*T2^3 - 
     20*T1^6*T2^3 + 44*T1^7*T2^3 - 54*T1^8*T2^3 + 30*T1^9*T2^3 + 
     8*T1^10*T2^3 - 20*T1^11*T2^3 + 5*T2^4 - 6*T1*T2^4 - 21*T1^2*T2^4 + 
     48*T1^3*T2^4 - 27*T1^4*T2^4 - 39*T1^5*T2^4 + 72*T1^6*T2^4 - 
     47*T1^7*T2^4 - 7*T1^8*T2^4 + 52*T1^9*T2^4 - 45*T1^10*T2^4 + 
     20*T1^12*T2^4 - 4*T2^5 + 10*T1*T2^5 + 30*T1^2*T2^5 - 24*T1^3*T2^5 - 
     39*T1^4*T2^5 + 100*T1^5*T2^5 - 58*T1^6*T2^5 - 8*T1^7*T2^5 + 
     83*T1^8*T2^5 - 78*T1^9*T2^5 + 12*T1^10*T2^5 + 42*T1^11*T2^5 - 
     14*T1^12*T2^5 - 6*T1^13*T2^5 + T2^6 - 9*T1*T2^6 - 33*T1^2*T2^6 - 
     20*T1^3*T2^6 + 72*T1^4*T2^6 - 58*T1^5*T2^6 - 56*T1^6*T2^6 + 
     78*T1^7*T2^6 - 88*T1^8*T2^6 - 17*T1^9*T2^6 + 87*T1^10*T2^6 - 
     74*T1^11*T2^6 - 19*T1^12*T2^6 + 13*T1^13*T2^6 - 7*T1^14*T2^6 + T2^7 + 
     2*T1*T2^7 + 33*T1^2*T2^7 + 44*T1^3*T2^7 - 47*T1^4*T2^7 - 8*T1^5*T2^7 + 
     78*T1^6*T2^7 + 12*T1^7*T2^7 - 50*T1^8*T2^7 + 144*T1^9*T2^7 - 
     93*T1^10*T2^7 - 8*T1^11*T2^7 + 87*T1^12*T2^7 - 8*T1^13*T2^7 - 
     T1^14*T2^7 + 8*T1^15*T2^7 - T2^8 + 3*T1*T2^8 - 13*T1^2*T2^8 - 
     54*T1^3*T2^8 - 7*T1^4*T2^8 + 83*T1^5*T2^8 - 88*T1^6*T2^8 - 
     50*T1^7*T2^8 + 84*T1^8*T2^8 - 118*T1^9*T2^8 - 6*T1^10*T2^8 + 
     100*T1^11*T2^8 - 95*T1^12*T2^8 - 23*T1^13*T2^8 + 15*T1^14*T2^8 - 
     8*T1^15*T2^8 - 2*T1*T2^9 - 10*T1^2*T2^9 + 30*T1^3*T2^9 + 52*T1^4*T2^9 - 
     78*T1^5*T2^9 - 17*T1^6*T2^9 + 144*T1^7*T2^9 - 118*T1^8*T2^9 + 
     36*T1^9*T2^9 + 105*T1^10*T2^9 - 132*T1^11*T2^9 + 34*T1^12*T2^9 + 
     62*T1^13*T2^9 - 20*T1^14*T2^9 - 8*T1^15*T2^9 + 12*T1^2*T2^10 + 
     8*T1^3*T2^10 - 45*T1^4*T2^10 + 12*T1^5*T2^10 + 87*T1^6*T2^10 - 
     93*T1^7*T2^10 - 6*T1^8*T2^10 + 105*T1^9*T2^10 - 113*T1^10*T2^10 + 
     32*T1^11*T2^10 + 85*T1^12*T2^10 - 84*T1^13*T2^10 + 3*T1^14*T2^10 + 
     32*T1^15*T2^10 - 20*T1^3*T2^11 + 42*T1^5*T2^11 - 74*T1^6*T2^11 - 
     8*T1^7*T2^11 + 100*T1^8*T2^11 - 132*T1^9*T2^11 + 32*T1^10*T2^11 + 
     72*T1^11*T2^11 - 138*T1^12*T2^11 + 70*T1^13*T2^11 + 12*T1^14*T2^11 - 
     40*T1^15*T2^11 + 20*T1^4*T2^12 - 14*T1^5*T2^12 - 19*T1^6*T2^12 + 
     87*T1^7*T2^12 - 95*T1^8*T2^12 + 34*T1^9*T2^12 + 85*T1^10*T2^12 - 
     138*T1^11*T2^12 + 123*T1^12*T2^12 - 33*T1^13*T2^12 - 25*T1^14*T2^12 + 
     32*T1^15*T2^12 - 6*T1^5*T2^13 + 13*T1^6*T2^13 - 8*T1^7*T2^13 - 
     23*T1^8*T2^13 + 62*T1^9*T2^13 - 84*T1^10*T2^13 + 70*T1^11*T2^13 - 
     33*T1^12*T2^13 - 4*T1^13*T2^13 + 15*T1^14*T2^13 - 8*T1^15*T2^13 - 
     7*T1^6*T2^14 - T1^7*T2^14 + 15*T1^8*T2^14 - 20*T1^9*T2^14 + 
     3*T1^10*T2^14 + 12*T1^11*T2^14 - 25*T1^12*T2^14 + 15*T1^13*T2^14 + 
     T1^14*T2^14 - 8*T1^15*T2^14 + 8*T1^7*T2^15 - 8*T1^8*T2^15 - 
     8*T1^9*T2^15 + 32*T1^10*T2^15 - 40*T1^11*T2^15 + 32*T1^12*T2^15 - 
     8*T1^13*T2^15 - 8*T1^14*T2^15 + 8*T1^15*T2^15)/
    (T1^8*T2^7*(-1 + T1*T2))}, Knot[10, 153] -> 
  {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-2 + 2*T1 + 2*T1^2 - 6*T1^3 + 2*T1^4 + 2*T1^5 - 2*T1^6 + 2*T2 - 3*T1*T2 + 
     3*T1^3*T2 - T1^4*T2 - T1^6*T2 + T1^7*T2 + 2*T2^2 - 2*T1^2*T2^2 + 
     6*T1^3*T2^2 - 2*T1^5*T2^2 + 2*T1^6*T2^2 + 2*T1^7*T2^2 - 6*T2^3 + 
     3*T1*T2^3 + 6*T1^2*T2^3 - 14*T1^3*T2^3 - 2*T1^4*T2^3 + 2*T1^5*T2^3 + 
     4*T1^6*T2^3 - 5*T1^7*T2^3 - 5*T1^8*T2^3 + 3*T1^9*T2^3 + 2*T2^4 - 
     T1*T2^4 - 2*T1^3*T2^4 + 5*T1^4*T2^4 + 7*T1^5*T2^4 - 11*T1^6*T2^4 - 
     2*T1^7*T2^4 + 10*T1^8*T2^4 - 3*T1^9*T2^4 - 2*T1^10*T2^4 + 2*T2^5 - 
     2*T1^2*T2^5 + 2*T1^3*T2^5 + 7*T1^4*T2^5 - 5*T1^5*T2^5 - 7*T1^6*T2^5 + 
     18*T1^7*T2^5 - 10*T1^8*T2^5 - 3*T1^9*T2^5 + 8*T1^10*T2^5 - 
     3*T1^11*T2^5 - 2*T2^6 - T1*T2^6 + 2*T1^2*T2^6 + 4*T1^3*T2^6 - 
     11*T1^4*T2^6 - 7*T1^5*T2^6 + 24*T1^6*T2^6 - 13*T1^7*T2^6 - 9*T1^8*T2^6 + 
     16*T1^9*T2^6 - 6*T1^10*T2^6 - 3*T1^11*T2^6 + 4*T1^12*T2^6 + T1*T2^7 + 
     2*T1^2*T2^7 - 5*T1^3*T2^7 - 2*T1^4*T2^7 + 18*T1^5*T2^7 - 13*T1^6*T2^7 - 
     15*T1^7*T2^7 + 29*T1^8*T2^7 - 14*T1^9*T2^7 - 6*T1^10*T2^7 + 
     10*T1^11*T2^7 - 4*T1^12*T2^7 - 5*T1^3*T2^8 + 10*T1^4*T2^8 - 
     10*T1^5*T2^8 - 9*T1^6*T2^8 + 29*T1^7*T2^8 - 25*T1^8*T2^8 - 
     10*T1^9*T2^8 + 20*T1^10*T2^8 - 7*T1^11*T2^8 - 4*T1^12*T2^8 + 
     3*T1^3*T2^9 - 3*T1^4*T2^9 - 3*T1^5*T2^9 + 16*T1^6*T2^9 - 14*T1^7*T2^9 - 
     10*T1^8*T2^9 + 34*T1^9*T2^9 - 14*T1^10*T2^9 - 11*T1^11*T2^9 + 
     12*T1^12*T2^9 - 2*T1^4*T2^10 + 8*T1^5*T2^10 - 6*T1^6*T2^10 - 
     6*T1^7*T2^10 + 20*T1^8*T2^10 - 14*T1^9*T2^10 - 2*T1^10*T2^10 + 
     10*T1^11*T2^10 - 4*T1^12*T2^10 - 3*T1^5*T2^11 - 3*T1^6*T2^11 + 
     10*T1^7*T2^11 - 7*T1^8*T2^11 - 11*T1^9*T2^11 + 10*T1^10*T2^11 - 
     T1^11*T2^11 - 4*T1^12*T2^11 + 4*T1^6*T2^12 - 4*T1^7*T2^12 - 
     4*T1^8*T2^12 + 12*T1^9*T2^12 - 4*T1^10*T2^12 - 4*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 154] -> {(1 - 4*T^2 + 7*T^3 - 4*T^4 + T^6)/T^3, 
   (-6 + 24*T1^2 - 42*T1^3 + 24*T1^4 - 6*T1^6 + 24*T2^2 - 78*T1^2*T2^2 + 
     156*T1^3*T2^2 - 142*T1^4*T2^2 + 100*T1^5*T2^2 - 38*T1^6*T2^2 + 
     16*T1^8*T2^2 - 42*T2^3 + 156*T1^2*T2^3 - 273*T1^3*T2^3 + 143*T1^4*T2^3 + 
     59*T1^5*T2^3 - 147*T1^6*T2^3 + 72*T1^7*T2^3 - 21*T1^9*T2^3 + 24*T2^4 - 
     142*T1^2*T2^4 + 143*T1^3*T2^4 + 120*T1^4*T2^4 - 348*T1^5*T2^4 + 
     200*T1^6*T2^4 + 31*T1^7*T2^4 - 78*T1^8*T2^4 + 8*T1^10*T2^4 + 
     100*T1^2*T2^5 + 59*T1^3*T2^5 - 348*T1^4*T2^5 + 382*T1^5*T2^5 + 
     74*T1^6*T2^5 - 236*T1^7*T2^5 + 87*T1^8*T2^5 + 72*T1^9*T2^5 - 6*T2^6 - 
     38*T1^2*T2^6 - 147*T1^3*T2^6 + 200*T1^4*T2^6 + 74*T1^5*T2^6 - 
     492*T1^6*T2^6 + 298*T1^7*T2^6 + 16*T1^8*T2^6 - 105*T1^9*T2^6 - 
     30*T1^10*T2^6 + 72*T1^3*T2^7 + 31*T1^4*T2^7 - 236*T1^5*T2^7 + 
     298*T1^6*T2^7 - 10*T1^7*T2^7 - 124*T1^8*T2^7 + 59*T1^9*T2^7 + 
     44*T1^10*T2^7 + 16*T1^2*T2^8 - 78*T1^4*T2^8 + 87*T1^5*T2^8 + 
     16*T1^6*T2^8 - 124*T1^7*T2^8 + 96*T1^8*T2^8 - 25*T1^9*T2^8 - 
     14*T1^10*T2^8 - 21*T1^3*T2^9 + 72*T1^5*T2^9 - 105*T1^6*T2^9 + 
     59*T1^7*T2^9 - 25*T1^8*T2^9 + 21*T1^9*T2^9 - 12*T1^10*T2^9 + 
     8*T1^4*T2^10 - 30*T1^6*T2^10 + 44*T1^7*T2^10 - 14*T1^8*T2^10 - 
     12*T1^9*T2^10 + 10*T1^10*T2^10)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[10, 155] -> {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -((-3 + 9*T1 - 15*T1^2 + 21*T1^3 - 15*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 27*T1^2*T2 - 33*T1^3*T2 + 3*T1^4*T2 + 3*T1^5*T2 - 
      9*T1^6*T2 + 6*T1^7*T2 - 15*T2^2 + 27*T1*T2^2 - 28*T1^2*T2^2 + 
      38*T1^3*T2^2 + 16*T1^4*T2^2 - 2*T1^5*T2^2 + 12*T1^6*T2^2 - 
      3*T1^7*T2^2 - 5*T1^8*T2^2 + 21*T2^3 - 33*T1*T2^3 + 38*T1^2*T2^3 - 
      64*T1^3*T2^3 - 24*T1^4*T2^3 - 12*T1^5*T2^3 - 16*T1^6*T2^3 - 
      7*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T2^4 + 3*T1*T2^4 + 16*T1^2*T2^4 - 
      24*T1^3*T2^4 + 151*T1^4*T2^4 - 53*T1^5*T2^4 + 63*T1^6*T2^4 + 
      4*T1^7*T2^4 - 10*T1^8*T2^4 - 15*T1^9*T2^4 + 5*T1^10*T2^4 + 9*T2^5 + 
      3*T1*T2^5 - 2*T1^2*T2^5 - 12*T1^3*T2^5 - 53*T1^4*T2^5 - 91*T1^5*T2^5 + 
      29*T1^6*T2^5 - 48*T1^7*T2^5 + 8*T1^8*T2^5 + 23*T1^9*T2^5 + 
      3*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 12*T1^2*T2^6 - 
      16*T1^3*T2^6 + 63*T1^4*T2^6 + 29*T1^5*T2^6 + 60*T1^6*T2^6 - 
      45*T1^7*T2^6 + 41*T1^8*T2^6 - 28*T1^9*T2^6 - 16*T1^10*T2^6 + 
      9*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 3*T1^2*T2^7 - 7*T1^3*T2^7 + 
      4*T1^4*T2^7 - 48*T1^5*T2^7 - 45*T1^6*T2^7 + 75*T1^7*T2^7 - 
      43*T1^8*T2^7 + 24*T1^9*T2^7 + 18*T1^10*T2^7 - 3*T1^11*T2^7 - 
      9*T1^12*T2^7 - 5*T1^2*T2^8 + 15*T1^3*T2^8 - 10*T1^4*T2^8 + 
      8*T1^5*T2^8 + 41*T1^6*T2^8 - 43*T1^7*T2^8 - 47*T1^8*T2^8 + 
      36*T1^9*T2^8 - 36*T1^10*T2^8 - 3*T1^11*T2^8 + 15*T1^12*T2^8 - 
      15*T1^4*T2^9 + 23*T1^5*T2^9 - 28*T1^6*T2^9 + 24*T1^7*T2^9 + 
      36*T1^8*T2^9 + 20*T1^9*T2^9 - 22*T1^10*T2^9 + 33*T1^11*T2^9 - 
      21*T1^12*T2^9 + 5*T1^4*T2^10 + 3*T1^5*T2^10 - 16*T1^6*T2^10 + 
      18*T1^7*T2^10 - 36*T1^8*T2^10 - 22*T1^9*T2^10 + 24*T1^10*T2^10 - 
      27*T1^11*T2^10 + 15*T1^12*T2^10 - 6*T1^5*T2^11 + 9*T1^6*T2^11 - 
      3*T1^7*T2^11 - 3*T1^8*T2^11 + 33*T1^9*T2^11 - 27*T1^10*T2^11 + 
      21*T1^11*T2^11 - 9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 
      15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 9*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 156] -> {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 16*T1^2 + 18*T1^3 - 16*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 48*T1^2*T2 - 40*T1^3*T2 + 28*T1^4*T2 - 8*T1^6*T2 + 
     4*T1^7*T2 - 16*T2^2 + 48*T1*T2^2 - 64*T1^2*T2^2 + 20*T1^3*T2^2 + 
     8*T1^4*T2^2 - 60*T1^5*T2^2 + 48*T1^6*T2^2 - 16*T1^7*T2^2 + 18*T2^3 - 
     40*T1*T2^3 + 20*T1^2*T2^3 + 69*T1^3*T2^3 - 92*T1^4*T2^3 + 
     128*T1^5*T2^3 - 45*T1^6*T2^3 - 36*T1^7*T2^3 + 36*T1^8*T2^3 - 
     9*T1^9*T2^3 - 16*T2^4 + 28*T1*T2^4 + 8*T1^2*T2^4 - 92*T1^3*T2^4 + 
     74*T1^4*T2^4 - 68*T1^5*T2^4 - 62*T1^6*T2^4 + 124*T1^7*T2^4 - 
     24*T1^8*T2^4 - 28*T1^9*T2^4 + 16*T1^10*T2^4 + 8*T2^5 - 60*T1^2*T2^5 + 
     128*T1^3*T2^5 - 68*T1^4*T2^5 - 16*T1^5*T2^5 + 156*T1^6*T2^5 - 
     132*T1^7*T2^5 - 100*T1^8*T2^5 + 92*T1^9*T2^5 - 16*T1^10*T2^5 - 
     12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 48*T1^2*T2^6 - 45*T1^3*T2^6 - 
     62*T1^4*T2^6 + 156*T1^5*T2^6 - 108*T1^6*T2^6 - 60*T1^7*T2^6 + 
     306*T1^8*T2^6 - 99*T1^9*T2^6 - 32*T1^10*T2^6 + 32*T1^11*T2^6 + 
     4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 - 36*T1^3*T2^7 + 124*T1^4*T2^7 - 
     132*T1^5*T2^7 - 60*T1^6*T2^7 + 112*T1^7*T2^7 - 196*T1^8*T2^7 - 
     104*T1^9*T2^7 + 116*T1^10*T2^7 - 32*T1^11*T2^7 - 16*T1^12*T2^7 + 
     36*T1^3*T2^8 - 24*T1^4*T2^8 - 100*T1^5*T2^8 + 306*T1^6*T2^8 - 
     196*T1^7*T2^8 + 170*T1^8*T2^8 + 116*T1^9*T2^8 - 56*T1^10*T2^8 - 
     20*T1^11*T2^8 + 32*T1^12*T2^8 - 9*T1^3*T2^9 - 28*T1^4*T2^9 + 
     92*T1^5*T2^9 - 99*T1^6*T2^9 - 104*T1^7*T2^9 + 116*T1^8*T2^9 - 
     213*T1^9*T2^9 + 36*T1^10*T2^9 + 48*T1^11*T2^9 - 36*T1^12*T2^9 + 
     16*T1^4*T2^10 - 16*T1^5*T2^10 - 32*T1^6*T2^10 + 116*T1^7*T2^10 - 
     56*T1^8*T2^10 + 36*T1^9*T2^10 + 80*T1^10*T2^10 - 80*T1^11*T2^10 + 
     32*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 - 32*T1^7*T2^11 - 
     20*T1^8*T2^11 + 48*T1^9*T2^11 - 80*T1^10*T2^11 + 52*T1^11*T2^11 - 
     16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 32*T1^8*T2^12 - 
     36*T1^9*T2^12 + 32*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 157] -> 
  {-((1 - 6*T + 11*T^2 - 13*T^3 + 11*T^4 - 6*T^5 + T^6)/T^3), 
   -((-5 + 30*T1 - 55*T1^2 + 65*T1^3 - 55*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
      156*T1*T2 + 182*T1^2*T2 - 123*T1^3*T2 + 21*T1^4*T2 + 80*T1^5*T2 - 
      114*T1^6*T2 + 24*T1^7*T2 - 55*T2^2 + 182*T1*T2^2 + 246*T1^2*T2^2 - 
      686*T1^3*T2^2 + 910*T1^4*T2^2 - 840*T1^5*T2^2 + 466*T1^6*T2^2 + 
      50*T1^7*T2^2 - 33*T1^8*T2^2 + 65*T2^3 - 123*T1*T2^3 - 686*T1^2*T2^3 + 
      899*T1^3*T2^3 - 690*T1^4*T2^3 + 231*T1^5*T2^3 + 323*T1^6*T2^3 - 
      653*T1^7*T2^3 + 45*T1^8*T2^3 + 26*T1^9*T2^3 - 55*T2^4 + 21*T1*T2^4 + 
      910*T1^2*T2^4 - 690*T1^3*T2^4 + 337*T1^4*T2^4 + 25*T1^5*T2^4 - 
      315*T1^6*T2^4 + 298*T1^7*T2^4 + 458*T1^8*T2^4 - 87*T1^9*T2^4 - 
      11*T1^10*T2^4 + 30*T2^5 + 80*T1*T2^5 - 840*T1^2*T2^5 + 231*T1^3*T2^5 + 
      25*T1^4*T2^5 - 129*T1^5*T2^5 + 147*T1^6*T2^5 + 36*T1^7*T2^5 - 
      556*T1^8*T2^5 - 125*T1^9*T2^5 + 62*T1^10*T2^5 - 5*T2^6 - 114*T1*T2^6 + 
      466*T1^2*T2^6 + 323*T1^3*T2^6 - 315*T1^4*T2^6 + 147*T1^5*T2^6 - 
      24*T1^6*T2^6 - 143*T1^7*T2^6 + 299*T1^8*T2^6 + 377*T1^9*T2^6 - 
      90*T1^10*T2^6 - 6*T1^11*T2^6 + T1^12*T2^6 + 24*T1*T2^7 + 50*T1^2*T2^7 - 
      653*T1^3*T2^7 + 298*T1^4*T2^7 + 36*T1^5*T2^7 - 143*T1^6*T2^7 + 
      133*T1^7*T2^7 + 47*T1^8*T2^7 - 489*T1^9*T2^7 + 62*T1^10*T2^7 + 
      32*T1^11*T2^7 - 6*T1^12*T2^7 - 33*T1^2*T2^8 + 45*T1^3*T2^8 + 
      458*T1^4*T2^8 - 556*T1^5*T2^8 + 299*T1^6*T2^8 + 47*T1^7*T2^8 - 
      353*T1^8*T2^8 + 432*T1^9*T2^8 + 6*T1^10*T2^8 - 63*T1^11*T2^8 + 
      11*T1^12*T2^8 + 26*T1^3*T2^9 - 87*T1^4*T2^9 - 125*T1^5*T2^9 + 
      377*T1^6*T2^9 - 489*T1^7*T2^9 + 432*T1^8*T2^9 - 199*T1^9*T2^9 - 
      92*T1^10*T2^9 + 81*T1^11*T2^9 - 13*T1^12*T2^9 - 11*T1^4*T2^10 + 
      62*T1^5*T2^10 - 90*T1^6*T2^10 + 62*T1^7*T2^10 + 6*T1^8*T2^10 - 
      92*T1^9*T2^10 + 130*T1^10*T2^10 - 70*T1^11*T2^10 + 11*T1^12*T2^10 - 
      6*T1^6*T2^11 + 32*T1^7*T2^11 - 63*T1^8*T2^11 + 81*T1^9*T2^11 - 
      70*T1^10*T2^11 + 36*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 
      6*T1^7*T2^12 + 11*T1^8*T2^12 - 13*T1^9*T2^12 + 11*T1^10*T2^12 - 
      6*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 158] -> {-((1 - 4*T + 10*T^2 - 15*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 30*T1^2 + 45*T1^3 - 30*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 88*T1^2*T2 - 100*T1^3*T2 + 32*T1^5*T2 - 20*T1^6*T2 + 
      8*T1^7*T2 - 30*T2^2 + 88*T1*T2^2 - 180*T1^2*T2^2 + 166*T1^3*T2^2 + 
      84*T1^4*T2^2 - 54*T1^5*T2^2 + 8*T1^7*T2^2 - 10*T1^8*T2^2 + 45*T2^3 - 
      100*T1*T2^3 + 166*T1^2*T2^3 - 33*T1^3*T2^3 - 349*T1^4*T2^3 + 
      21*T1^5*T2^3 + 127*T1^6*T2^3 - 84*T1^7*T2^3 + 40*T1^8*T2^3 - 30*T2^4 + 
      84*T1^2*T2^4 - 349*T1^3*T2^4 + 509*T1^4*T2^4 + 383*T1^5*T2^4 - 
      451*T1^6*T2^4 + 131*T1^7*T2^4 + 4*T1^8*T2^4 - 40*T1^9*T2^4 + 
      10*T1^10*T2^4 + 12*T2^5 + 32*T1*T2^5 - 54*T1^2*T2^5 + 21*T1^3*T2^5 + 
      383*T1^4*T2^5 - 1360*T1^5*T2^5 + 810*T1^6*T2^5 + 3*T1^7*T2^5 - 
      129*T1^8*T2^5 + 76*T1^9*T2^5 - 8*T1^10*T2^5 - 8*T1^11*T2^5 - 3*T2^6 - 
      20*T1*T2^6 + 127*T1^3*T2^6 - 451*T1^4*T2^6 + 810*T1^5*T2^6 + 
      60*T1^6*T2^6 - 838*T1^7*T2^6 + 449*T1^8*T2^6 - 123*T1^9*T2^6 + 
      4*T1^10*T2^6 + 20*T1^11*T2^6 + 3*T1^12*T2^6 + 8*T1*T2^7 + 8*T1^2*T2^7 - 
      84*T1^3*T2^7 + 131*T1^4*T2^7 + 3*T1^5*T2^7 - 838*T1^6*T2^7 + 
      1332*T1^7*T2^7 - 377*T1^8*T2^7 - 19*T1^9*T2^7 + 46*T1^10*T2^7 - 
      32*T1^11*T2^7 - 12*T1^12*T2^7 - 10*T1^2*T2^8 + 40*T1^3*T2^8 + 
      4*T1^4*T2^8 - 129*T1^5*T2^8 + 449*T1^6*T2^8 - 377*T1^7*T2^8 - 
      511*T1^8*T2^8 + 351*T1^9*T2^8 - 76*T1^10*T2^8 + 30*T1^12*T2^8 - 
      40*T1^4*T2^9 + 76*T1^5*T2^9 - 123*T1^6*T2^9 - 19*T1^7*T2^9 + 
      351*T1^8*T2^9 + 37*T1^9*T2^9 - 174*T1^10*T2^9 + 100*T1^11*T2^9 - 
      45*T1^12*T2^9 + 10*T1^4*T2^10 - 8*T1^5*T2^10 + 4*T1^6*T2^10 + 
      46*T1^7*T2^10 - 76*T1^8*T2^10 - 174*T1^9*T2^10 + 184*T1^10*T2^10 - 
      88*T1^11*T2^10 + 30*T1^12*T2^10 - 8*T1^5*T2^11 + 20*T1^6*T2^11 - 
      32*T1^7*T2^11 + 100*T1^9*T2^11 - 88*T1^10*T2^11 + 40*T1^11*T2^11 - 
      12*T1^12*T2^11 + 3*T1^6*T2^12 - 12*T1^7*T2^12 + 30*T1^8*T2^12 - 
      45*T1^9*T2^12 + 30*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[10, 159] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-2 + 8*T1 - 18*T1^2 + 22*T1^3 - 18*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 56*T1^2*T2 - 52*T1^3*T2 + 28*T1^4*T2 + 4*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 18*T2^2 + 56*T1*T2^2 - 89*T1^2*T2^2 + 
     34*T1^3*T2^2 + 41*T1^4*T2^2 - 92*T1^5*T2^2 + 55*T1^6*T2^2 - 
     16*T1^7*T2^2 + 22*T2^3 - 52*T1*T2^3 + 34*T1^2*T2^3 + 95*T1^3*T2^3 - 
     170*T1^4*T2^3 + 121*T1^5*T2^3 + 23*T1^6*T2^3 - 83*T1^7*T2^3 + 
     44*T1^8*T2^3 - 11*T1^9*T2^3 - 18*T2^4 + 28*T1*T2^4 + 41*T1^2*T2^4 - 
     170*T1^3*T2^4 + 175*T1^4*T2^4 + 13*T1^5*T2^4 - 153*T1^6*T2^4 + 
     138*T1^7*T2^4 + 13*T1^8*T2^4 - 28*T1^9*T2^4 + 18*T1^10*T2^4 + 8*T2^5 + 
     4*T1*T2^5 - 92*T1^2*T2^5 + 121*T1^3*T2^5 + 13*T1^4*T2^5 - 
     345*T1^5*T2^5 + 331*T1^6*T2^5 - 158*T1^7*T2^5 - 136*T1^8*T2^5 + 
     61*T1^9*T2^5 - 24*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     55*T1^2*T2^6 + 23*T1^3*T2^6 - 153*T1^4*T2^6 + 331*T1^5*T2^6 + 
     60*T1^6*T2^6 - 315*T1^7*T2^6 + 493*T1^8*T2^6 - 115*T1^9*T2^6 + 
     15*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 
     16*T1^2*T2^7 - 83*T1^3*T2^7 + 138*T1^4*T2^7 - 158*T1^5*T2^7 - 
     315*T1^6*T2^7 + 361*T1^7*T2^7 - 329*T1^8*T2^7 - 119*T1^9*T2^7 + 
     70*T1^10*T2^7 - 44*T1^11*T2^7 - 16*T1^12*T2^7 + 44*T1^3*T2^8 + 
     13*T1^4*T2^8 - 136*T1^5*T2^8 + 493*T1^6*T2^8 - 329*T1^7*T2^8 + 
     165*T1^8*T2^8 + 172*T1^9*T2^8 - 15*T1^10*T2^8 - 12*T1^11*T2^8 + 
     36*T1^12*T2^8 - 11*T1^3*T2^9 - 28*T1^4*T2^9 + 61*T1^5*T2^9 - 
     115*T1^6*T2^9 - 119*T1^7*T2^9 + 172*T1^8*T2^9 - 187*T1^9*T2^9 - 
     56*T1^10*T2^9 + 68*T1^11*T2^9 - 44*T1^12*T2^9 + 18*T1^4*T2^10 - 
     24*T1^5*T2^10 + 15*T1^6*T2^10 + 70*T1^7*T2^10 - 15*T1^8*T2^10 - 
     56*T1^9*T2^10 + 159*T1^10*T2^10 - 96*T1^11*T2^10 + 36*T1^12*T2^10 - 
     12*T1^5*T2^11 + 32*T1^6*T2^11 - 44*T1^7*T2^11 - 12*T1^8*T2^11 + 
     68*T1^9*T2^11 - 96*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 
     4*T1^6*T2^12 - 16*T1^7*T2^12 + 36*T1^8*T2^12 - 44*T1^9*T2^12 + 
     36*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 160] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((-5 + 20*T1 - 20*T1^2 + 15*T1^3 - 20*T1^4 + 20*T1^5 - 5*T1^6 + 20*T2 - 
      64*T1*T2 + 16*T1^2*T2 + 4*T1^3*T2 + 32*T1^4*T2 - 16*T1^5*T2 - 
      44*T1^6*T2 + 16*T1^7*T2 - 20*T2^2 + 16*T1*T2^2 + 160*T1^2*T2^2 - 
      142*T1^3*T2^2 + 58*T1^4*T2^2 - 134*T1^5*T2^2 + 184*T1^6*T2^2 - 
      16*T1^7*T2^2 - 12*T1^8*T2^2 + 15*T2^3 + 4*T1*T2^3 - 142*T1^2*T2^3 + 
      23*T1^3*T2^3 + 37*T1^4*T2^3 + 77*T1^5*T2^3 - 69*T1^6*T2^3 - 
      98*T1^7*T2^3 + 24*T1^8*T2^3 + 6*T1^9*T2^3 - 20*T2^4 + 32*T1*T2^4 + 
      58*T1^2*T2^4 + 37*T1^3*T2^4 - 62*T1^4*T2^4 - 18*T1^5*T2^4 + 
      10*T1^6*T2^4 + 61*T1^7*T2^4 + 26*T1^8*T2^4 - 8*T1^9*T2^4 - 
      4*T1^10*T2^4 + 20*T2^5 - 16*T1*T2^5 - 134*T1^2*T2^5 + 77*T1^3*T2^5 - 
      18*T1^4*T2^5 + 98*T1^5*T2^5 - 102*T1^6*T2^5 - 2*T1^7*T2^5 + 
      5*T1^8*T2^5 - 34*T1^9*T2^5 + 16*T1^10*T2^5 - 5*T2^6 - 44*T1*T2^6 + 
      184*T1^2*T2^6 - 69*T1^3*T2^6 + 10*T1^4*T2^6 - 102*T1^5*T2^6 + 
      24*T1^6*T2^6 + 98*T1^7*T2^6 - 62*T1^8*T2^6 + 41*T1^9*T2^6 - 
      16*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 + 16*T1*T2^7 - 16*T1^2*T2^7 - 
      98*T1^3*T2^7 + 61*T1^4*T2^7 - 2*T1^5*T2^7 + 98*T1^6*T2^7 - 
      102*T1^7*T2^7 + 14*T1^8*T2^7 - 11*T1^9*T2^7 + 2*T1^10*T2^7 + 
      16*T1^11*T2^7 - 4*T1^12*T2^7 - 12*T1^2*T2^8 + 24*T1^3*T2^8 + 
      26*T1^4*T2^8 + 5*T1^5*T2^8 - 62*T1^6*T2^8 + 14*T1^7*T2^8 + 
      10*T1^8*T2^8 + 29*T1^9*T2^8 - 6*T1^10*T2^8 - 16*T1^11*T2^8 + 
      4*T1^12*T2^8 + 6*T1^3*T2^9 - 8*T1^4*T2^9 - 34*T1^5*T2^9 + 
      41*T1^6*T2^9 - 11*T1^7*T2^9 + 29*T1^8*T2^9 - 51*T1^9*T2^9 + 
      10*T1^10*T2^9 + 12*T1^11*T2^9 - 3*T1^12*T2^9 - 4*T1^4*T2^10 + 
      16*T1^5*T2^10 - 16*T1^6*T2^10 + 2*T1^7*T2^10 - 6*T1^8*T2^10 + 
      10*T1^9*T2^10 + 8*T1^10*T2^10 - 16*T1^11*T2^10 + 4*T1^12*T2^10 - 
      4*T1^6*T2^11 + 16*T1^7*T2^11 - 16*T1^8*T2^11 + 12*T1^9*T2^11 - 
      16*T1^10*T2^11 + 16*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
      4*T1^7*T2^12 + 4*T1^8*T2^12 - 3*T1^9*T2^12 + 4*T1^10*T2^12 - 
      4*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[10, 161] -> {(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6)/T^3, 
   (-T1 + T1^2 + T1^3 - T1^4 - T2 - 2*T1*T2 + 3*T1^2*T2 - 9*T1^4*T2 + 
     10*T1^5*T2 - T1^6*T2 - 4*T1^7*T2 + T2^2 + 3*T1*T2^2 - 5*T1^2*T2^2 + 
     9*T1^3*T2^2 - 9*T1^4*T2^2 + 13*T1^5*T2^2 - 15*T1^6*T2^2 + T1^7*T2^2 + 
     9*T1^8*T2^2 + T2^3 + 9*T1^2*T2^3 - 13*T1^3*T2^3 + T1^4*T2^3 + 
     11*T1^5*T2^3 - 15*T1^6*T2^3 + 16*T1^7*T2^3 + T1^8*T2^3 - 8*T1^9*T2^3 - 
     T2^4 - 9*T1*T2^4 - 9*T1^2*T2^4 + T1^3*T2^4 + 12*T1^4*T2^4 - 
     18*T1^5*T2^4 + 13*T1^6*T2^4 - 3*T1^7*T2^4 - 15*T1^8*T2^4 - T1^9*T2^4 + 
     10*T1*T2^5 + 13*T1^2*T2^5 + 11*T1^3*T2^5 - 18*T1^4*T2^5 + 12*T1^5*T2^5 + 
     6*T1^6*T2^5 - 25*T1^7*T2^5 + 31*T1^8*T2^5 + 6*T1^9*T2^5 + 6*T1^11*T2^5 - 
     T1*T2^6 - 15*T1^2*T2^6 - 15*T1^3*T2^6 + 13*T1^4*T2^6 + 6*T1^5*T2^6 - 
     24*T1^6*T2^6 + 25*T1^7*T2^6 - 9*T1^8*T2^6 - 21*T1^9*T2^6 - T1^10*T2^6 - 
     4*T1*T2^7 + T1^2*T2^7 + 16*T1^3*T2^7 - 3*T1^4*T2^7 - 25*T1^5*T2^7 + 
     25*T1^6*T2^7 - T1^7*T2^7 - 27*T1^8*T2^7 + 32*T1^9*T2^7 + T1^10*T2^7 - 
     12*T1^11*T2^7 + 9*T1^2*T2^8 + T1^3*T2^8 - 15*T1^4*T2^8 + 31*T1^5*T2^8 - 
     9*T1^6*T2^8 - 27*T1^7*T2^8 + 49*T1^8*T2^8 - 33*T1^9*T2^8 + T1^10*T2^8 + 
     18*T1^11*T2^8 - 8*T1^3*T2^9 - T1^4*T2^9 + 6*T1^5*T2^9 - 21*T1^6*T2^9 + 
     32*T1^7*T2^9 - 33*T1^8*T2^9 + 18*T1^9*T2^9 - T1^10*T2^9 - 
     12*T1^11*T2^9 - T1^6*T2^10 + T1^7*T2^10 + T1^8*T2^10 - T1^9*T2^10 + 
     6*T1^5*T2^11 - 12*T1^7*T2^11 + 18*T1^8*T2^11 - 12*T1^9*T2^11 + 
     6*T1^11*T2^11)/(T1^6*T2^5*(-1 + T1*T2))}, 
 Knot[10, 162] -> {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   -((-24 + 75*T1 - 94*T1^2 + 75*T1^3 - 24*T1^4 + 75*T2 - 241*T1*T2 + 
      303*T1^2*T2 - 237*T1^3*T2 + 83*T1^4*T2 - 6*T1^5*T2 - 94*T2^2 + 
      303*T1*T2^2 - 277*T1^2*T2^2 + 7*T1^3*T2^2 + 251*T1^4*T2^2 - 
      291*T1^5*T2^2 + 104*T1^6*T2^2 + 75*T2^3 - 237*T1*T2^3 + 7*T1^2*T2^3 + 
      464*T1^3*T2^3 - 544*T1^4*T2^3 + 304*T1^5*T2^3 + 195*T1^6*T2^3 - 
      168*T1^7*T2^3 - 24*T2^4 + 83*T1*T2^4 + 251*T1^2*T2^4 - 544*T1^3*T2^4 + 
      36*T1^4*T2^4 + 428*T1^5*T2^4 - 811*T1^6*T2^4 + 245*T1^7*T2^4 + 
      84*T1^8*T2^4 - 6*T1*T2^5 - 291*T1^2*T2^5 + 304*T1^3*T2^5 + 
      428*T1^4*T2^5 - 580*T1^5*T2^5 + 601*T1^6*T2^5 + 141*T1^7*T2^5 - 
      249*T1^8*T2^5 + 104*T1^2*T2^6 + 195*T1^3*T2^6 - 811*T1^4*T2^6 + 
      601*T1^5*T2^6 - 283*T1^6*T2^6 - 399*T1^7*T2^6 + 302*T1^8*T2^6 - 
      168*T1^3*T2^7 + 245*T1^4*T2^7 + 141*T1^5*T2^7 - 399*T1^6*T2^7 + 
      569*T1^7*T2^7 - 249*T1^8*T2^7 + 84*T1^4*T2^8 - 249*T1^5*T2^8 + 
      302*T1^6*T2^8 - 249*T1^7*T2^8 + 84*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[10, 163] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-4 + 20*T1 - 48*T1^2 + 60*T1^3 - 48*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 165*T1^2*T2 - 120*T1^3*T2 + 15*T1^4*T2 + 80*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 48*T2^2 + 165*T1*T2^2 - 221*T1^2*T2^2 - 
     74*T1^3*T2^2 + 283*T1^4*T2^2 - 314*T1^5*T2^2 + 43*T1^6*T2^2 + 
     45*T1^7*T2^2 - 24*T1^8*T2^2 + 60*T2^3 - 120*T1*T2^3 - 74*T1^2*T2^3 + 
     703*T1^3*T2^3 - 639*T1^4*T2^3 + 216*T1^5*T2^3 + 403*T1^6*T2^3 - 
     254*T1^7*T2^3 + 45*T1^8*T2^3 + 15*T1^9*T2^3 - 48*T2^4 + 15*T1*T2^4 + 
     283*T1^2*T2^4 - 639*T1^3*T2^4 - 269*T1^4*T2^4 + 1013*T1^5*T2^4 - 
     1241*T1^6*T2^4 + 291*T1^7*T2^4 + 109*T1^8*T2^4 - 75*T1^9*T2^4 + 
     20*T2^5 + 80*T1*T2^5 - 314*T1^2*T2^5 + 216*T1^3*T2^5 + 1013*T1^4*T2^5 - 
     1277*T1^5*T2^5 + 673*T1^6*T2^5 + 533*T1^7*T2^5 - 489*T1^8*T2^5 + 
     106*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     43*T1^2*T2^6 + 403*T1^3*T2^6 - 1241*T1^4*T2^6 + 673*T1^5*T2^6 + 
     456*T1^6*T2^6 - 1137*T1^7*T2^6 + 499*T1^8*T2^6 + 73*T1^9*T2^6 - 
     97*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     45*T1^2*T2^7 - 254*T1^3*T2^7 + 291*T1^4*T2^7 + 533*T1^5*T2^7 - 
     1137*T1^6*T2^7 + 813*T1^7*T2^7 + 53*T1^8*T2^7 - 414*T1^9*T2^7 + 
     166*T1^10*T2^7 - 10*T1^11*T2^7 - 10*T1^12*T2^7 - 24*T1^2*T2^8 + 
     45*T1^3*T2^8 + 109*T1^4*T2^8 - 489*T1^5*T2^8 + 499*T1^6*T2^8 + 
     53*T1^7*T2^8 - 473*T1^8*T2^8 + 441*T1^9*T2^8 - 65*T1^10*T2^8 - 
     45*T1^11*T2^8 + 24*T1^12*T2^8 + 15*T1^3*T2^9 - 75*T1^4*T2^9 + 
     106*T1^5*T2^9 + 73*T1^6*T2^9 - 414*T1^7*T2^9 + 441*T1^8*T2^9 - 
     227*T1^9*T2^9 - 74*T1^10*T2^9 + 90*T1^11*T2^9 - 30*T1^12*T2^9 + 
     25*T1^5*T2^10 - 97*T1^6*T2^10 + 166*T1^7*T2^10 - 65*T1^8*T2^10 - 
     74*T1^9*T2^10 + 167*T1^10*T2^10 - 95*T1^11*T2^10 + 24*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 10*T1^7*T2^11 - 45*T1^8*T2^11 + 
     90*T1^9*T2^11 - 95*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 24*T1^8*T2^12 - 30*T1^9*T2^12 + 
     24*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[10, 164] -> 
  {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   (-51 + 186*T1 - 287*T1^2 + 186*T1^3 - 51*T1^4 + 186*T2 - 593*T1*T2 + 
     731*T1^2*T2 - 193*T1^3*T2 - 131*T1^4*T2 + 87*T1^5*T2 - 287*T2^2 + 
     731*T1*T2^2 - 425*T1^2*T2^2 - 823*T1^3*T2^2 + 1003*T1^4*T2^2 - 
     391*T1^5*T2^2 + 19*T1^6*T2^2 + 186*T2^3 - 193*T1*T2^3 - 823*T1^2*T2^3 + 
     2228*T1^3*T2^3 - 1622*T1^4*T2^3 + 112*T1^5*T2^3 + 335*T1^6*T2^3 - 
     111*T1^7*T2^3 - 51*T2^4 - 131*T1*T2^4 + 1003*T1^2*T2^4 - 
     1622*T1^3*T2^4 + 360*T1^4*T2^4 + 1370*T1^5*T2^4 - 1047*T1^6*T2^4 + 
     199*T1^7*T2^4 + 57*T1^8*T2^4 + 87*T1*T2^5 - 391*T1^2*T2^5 + 
     112*T1^3*T2^5 + 1370*T1^4*T2^5 - 2480*T1^5*T2^5 + 1047*T1^6*T2^5 + 
     137*T1^7*T2^5 - 210*T1^8*T2^5 + 19*T1^2*T2^6 + 335*T1^3*T2^6 - 
     1047*T1^4*T2^6 + 1047*T1^5*T2^6 + 381*T1^6*T2^6 - 787*T1^7*T2^6 + 
     325*T1^8*T2^6 - 111*T1^3*T2^7 + 199*T1^4*T2^7 + 137*T1^5*T2^7 - 
     787*T1^6*T2^7 + 661*T1^7*T2^7 - 210*T1^8*T2^7 + 57*T1^4*T2^8 - 
     210*T1^5*T2^8 + 325*T1^6*T2^8 - 210*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[10, 165] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-25 + 124*T1 - 185*T1^2 + 124*T1^3 - 25*T1^4 + 124*T2 - 538*T1*T2 + 
      504*T1^2*T2 + 4*T1^3*T2 - 298*T1^4*T2 + 84*T1^5*T2 - 185*T2^2 + 
      504*T1*T2^2 + 707*T1^2*T2^2 - 1941*T1^3*T2^2 + 1487*T1^4*T2^2 - 
      96*T1^5*T2^2 - 65*T1^6*T2^2 + 124*T2^3 + 4*T1*T2^3 - 1941*T1^2*T2^3 + 
      2434*T1^3*T2^3 - 596*T1^4*T2^3 - 1041*T1^5*T2^3 + 304*T1^6*T2^3 + 
      4*T1^7*T2^3 - 25*T2^4 - 298*T1*T2^4 + 1487*T1^2*T2^4 - 596*T1^3*T2^4 - 
      1404*T1^4*T2^4 + 1844*T1^5*T2^4 - 273*T1^6*T2^4 - 58*T1^7*T2^4 + 
      7*T1^8*T2^4 + 84*T1*T2^5 - 96*T1^2*T2^5 - 1041*T1^3*T2^5 + 
      1844*T1^4*T2^5 - 1186*T1^5*T2^5 - 141*T1^6*T2^5 + 204*T1^7*T2^5 - 
      36*T1^8*T2^5 - 65*T1^2*T2^6 + 304*T1^3*T2^6 - 273*T1^4*T2^6 - 
      141*T1^5*T2^6 + 507*T1^6*T2^6 - 296*T1^7*T2^6 + 55*T1^8*T2^6 + 
      4*T1^3*T2^7 - 58*T1^4*T2^7 + 204*T1^5*T2^7 - 296*T1^6*T2^7 + 
      182*T1^7*T2^7 - 36*T1^8*T2^7 + 7*T1^4*T2^8 - 36*T1^5*T2^8 + 
      55*T1^6*T2^8 - 36*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 1] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 490*T1^2 + 635*T1^3 - 490*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 2041*T1^2*T2 - 1589*T1^3*T2 + 67*T1^4*T2 + 
     1033*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 490*T2^2 + 2041*T1*T2^2 - 
     2246*T1^2*T2^2 - 2220*T1^3*T2^2 + 6088*T1^4*T2^2 - 5460*T1^5*T2^2 + 
     1114*T1^6*T2^2 + 601*T1^7*T2^2 - 250*T1^8*T2^2 + 635*T2^3 - 
     1589*T1*T2^3 - 2220*T1^2*T2^3 + 11766*T1^3*T2^3 - 12058*T1^4*T2^3 + 
     2954*T1^5*T2^3 + 6240*T1^6*T2^3 - 4200*T1^7*T2^3 + 499*T1^8*T2^3 + 
     167*T1^9*T2^3 - 490*T2^4 + 67*T1*T2^4 + 6088*T1^2*T2^4 - 
     12058*T1^3*T2^4 - 611*T1^4*T2^4 + 16539*T1^5*T2^4 - 19163*T1^6*T2^4 + 
     4790*T1^7*T2^4 + 2056*T1^8*T2^4 - 941*T1^9*T2^4 - 10*T1^10*T2^4 + 
     197*T2^5 + 1033*T1*T2^5 - 5460*T1^2*T2^5 + 2954*T1^3*T2^5 + 
     16539*T1^4*T2^5 - 24832*T1^5*T2^5 + 12218*T1^6*T2^5 + 8079*T1^7*T2^5 - 
     8386*T1^8*T2^5 + 1560*T1^9*T2^5 + 313*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 1114*T1^2*T2^6 + 6240*T1^3*T2^6 - 
     19163*T1^4*T2^6 + 12218*T1^5*T2^6 + 8712*T1^6*T2^6 - 20542*T1^7*T2^6 + 
     9493*T1^8*T2^6 + 984*T1^9*T2^6 - 1478*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 601*T1^2*T2^7 - 4200*T1^3*T2^7 + 
     4790*T1^4*T2^7 + 8079*T1^5*T2^7 - 20542*T1^6*T2^7 + 16508*T1^7*T2^7 - 
     381*T1^8*T2^7 - 6550*T1^9*T2^7 + 2820*T1^10*T2^7 - 119*T1^11*T2^7 - 
     91*T1^12*T2^7 - 250*T1^2*T2^8 + 499*T1^3*T2^8 + 2056*T1^4*T2^8 - 
     8386*T1^5*T2^8 + 9493*T1^6*T2^8 - 381*T1^7*T2^8 - 9059*T1^8*T2^8 + 
     8462*T1^9*T2^8 - 1976*T1^10*T2^8 - 509*T1^11*T2^8 + 230*T1^12*T2^8 + 
     167*T1^3*T2^9 - 941*T1^4*T2^9 + 1560*T1^5*T2^9 + 984*T1^6*T2^9 - 
     6550*T1^7*T2^9 + 8462*T1^8*T2^9 - 4542*T1^9*T2^9 - 420*T1^10*T2^9 + 
     1147*T1^11*T2^9 - 301*T1^12*T2^9 - 10*T1^4*T2^10 + 313*T1^5*T2^10 - 
     1478*T1^6*T2^10 + 2820*T1^7*T2^10 - 1976*T1^8*T2^10 - 420*T1^9*T2^10 + 
     1882*T1^10*T2^10 - 1127*T1^11*T2^10 + 230*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 119*T1^7*T2^11 - 509*T1^8*T2^11 + 1147*T1^9*T2^11 - 
     1127*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 230*T1^8*T2^12 - 301*T1^9*T2^12 + 230*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 2] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 684*T1 - 1402*T1^2 + 1760*T1^3 - 1402*T1^4 + 684*T1^5 - 
      138*T1^6 + 684*T2 - 2849*T1*T2 + 4258*T1^2*T2 - 3184*T1^3*T2 - 
      34*T1^4*T2 + 2188*T1^5*T2 - 2039*T1^6*T2 + 549*T1^7*T2 - 1402*T2^2 + 
      4258*T1*T2^2 - 1690*T1^2*T2^2 - 5577*T1^3*T2^2 + 12004*T1^4*T2^2 - 
      10041*T1^5*T2^2 + 3518*T1^6*T2^2 + 1468*T1^7*T2^2 - 844*T1^8*T2^2 + 
      1760*T2^3 - 3184*T1*T2^3 - 5577*T1^2*T2^3 + 14616*T1^3*T2^3 - 
      14680*T1^4*T2^3 + 1724*T1^5*T2^3 + 7968*T1^6*T2^3 - 8088*T1^7*T2^3 + 
      686*T1^8*T2^3 + 707*T1^9*T2^3 - 1402*T2^4 - 34*T1*T2^4 + 
      12004*T1^2*T2^4 - 14680*T1^3*T2^4 + 4266*T1^4*T2^4 + 12766*T1^5*T2^4 - 
      13398*T1^6*T2^4 + 3572*T1^7*T2^4 + 5986*T1^8*T2^4 - 2104*T1^9*T2^4 - 
      286*T1^10*T2^4 + 684*T2^5 + 2188*T1*T2^5 - 10041*T1^2*T2^5 + 
      1724*T1^3*T2^5 + 12766*T1^4*T2^5 - 19623*T1^5*T2^5 + 4887*T1^6*T2^5 + 
      8767*T1^7*T2^5 - 10984*T1^8*T2^5 + 282*T1^9*T2^5 + 1378*T1^10*T2^5 + 
      9*T1^11*T2^5 - 138*T2^6 - 2039*T1*T2^6 + 3518*T1^2*T2^6 + 
      7968*T1^3*T2^6 - 13398*T1^4*T2^6 + 4887*T1^5*T2^6 + 13800*T1^6*T2^6 - 
      16851*T1^7*T2^6 + 6992*T1^8*T2^6 + 4932*T1^9*T2^6 - 2542*T1^10*T2^6 - 
      149*T1^11*T2^6 + 24*T1^12*T2^6 + 549*T1*T2^7 + 1468*T1^2*T2^7 - 
      8088*T1^3*T2^7 + 3572*T1^4*T2^7 + 8767*T1^5*T2^7 - 16851*T1^6*T2^7 + 
      7659*T1^7*T2^7 + 4768*T1^8*T2^7 - 9136*T1^9*T2^7 + 2235*T1^10*T2^7 + 
      658*T1^11*T2^7 - 126*T1^12*T2^7 - 844*T1^2*T2^8 + 686*T1^3*T2^8 + 
      5986*T1^4*T2^8 - 10984*T1^5*T2^8 + 6992*T1^6*T2^8 + 4768*T1^7*T2^8 - 
      10672*T1^8*T2^8 + 7268*T1^9*T2^8 - 32*T1^10*T2^8 - 1384*T1^11*T2^8 + 
      272*T1^12*T2^8 + 707*T1^3*T2^9 - 2104*T1^4*T2^9 + 282*T1^5*T2^9 + 
      4932*T1^6*T2^9 - 9136*T1^7*T2^9 + 7268*T1^8*T2^9 - 1716*T1^9*T2^9 - 
      2229*T1^10*T2^9 + 1766*T1^11*T2^9 - 346*T1^12*T2^9 - 286*T1^4*T2^10 + 
      1378*T1^5*T2^10 - 2542*T1^6*T2^10 + 2235*T1^7*T2^10 - 32*T1^8*T2^10 - 
      2229*T1^9*T2^10 + 2666*T1^10*T2^10 - 1412*T1^11*T2^10 + 
      272*T1^12*T2^10 + 9*T1^5*T2^11 - 149*T1^6*T2^11 + 658*T1^7*T2^11 - 
      1384*T1^8*T2^11 + 1766*T1^9*T2^11 - 1412*T1^10*T2^11 + 
      661*T1^11*T2^11 - 126*T1^12*T2^11 + 24*T1^6*T2^12 - 126*T1^7*T2^12 + 
      272*T1^8*T2^12 - 346*T1^9*T2^12 + 272*T1^10*T2^12 - 126*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 3] -> 
  {-((1 - 5*T + 13*T^2 - 24*T^3 + 29*T^4 - 24*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 39*T1^2 + 72*T1^3 - 87*T1^4 + 72*T1^5 - 39*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 145*T1^2*T2 - 230*T1^3*T2 + 
      195*T1^4*T2 - 70*T1^5*T2 - 45*T1^6*T2 + 55*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 39*T2^2 + 145*T1*T2^2 - 271*T1^2*T2^2 + 356*T1^3*T2^2 - 
      118*T1^4*T2^2 - 175*T1^5*T2^2 + 298*T1^6*T2^2 - 138*T1^7*T2^2 + 
      41*T1^8*T2^2 + 15*T1^9*T2^2 - 13*T1^10*T2^2 + 72*T2^3 - 230*T1*T2^3 + 
      356*T1^2*T2^3 - 383*T1^3*T2^3 - 130*T1^4*T2^3 + 441*T1^5*T2^3 - 
      340*T1^6*T2^3 - 173*T1^7*T2^3 + 247*T1^8*T2^3 - 190*T1^9*T2^3 + 
      65*T1^10*T2^3 - 87*T2^4 + 195*T1*T2^4 - 118*T1^2*T2^4 - 130*T1^3*T2^4 + 
      964*T1^4*T2^4 - 962*T1^5*T2^4 + 254*T1^6*T2^4 + 674*T1^7*T2^4 - 
      348*T1^8*T2^4 - 34*T1^9*T2^4 + 190*T1^10*T2^4 - 145*T1^11*T2^4 + 
      29*T1^12*T2^4 + 72*T2^5 - 70*T1*T2^5 - 175*T1^2*T2^5 + 441*T1^3*T2^5 - 
      962*T1^4*T2^5 + 73*T1^5*T2^5 + 1145*T1^6*T2^5 - 1456*T1^7*T2^5 - 
      173*T1^8*T2^5 + 817*T1^9*T2^5 - 462*T1^10*T2^5 + 128*T1^11*T2^5 + 
      95*T1^12*T2^5 - 48*T1^13*T2^5 - 39*T2^6 - 45*T1*T2^6 + 298*T1^2*T2^6 - 
      340*T1^3*T2^6 + 254*T1^4*T2^6 + 1145*T1^5*T2^6 - 1926*T1^6*T2^6 + 
      520*T1^7*T2^6 + 1954*T1^8*T2^6 - 1613*T1^9*T2^6 + 44*T1^10*T2^6 + 
      258*T1^11*T2^6 - 334*T1^12*T2^6 + 45*T1^13*T2^6 + 39*T1^14*T2^6 + 
      15*T2^7 + 55*T1*T2^7 - 138*T1^2*T2^7 - 173*T1^3*T2^7 + 674*T1^4*T2^7 - 
      1456*T1^5*T2^7 + 520*T1^6*T2^7 + 3100*T1^7*T2^7 - 4796*T1^8*T2^7 + 
      2118*T1^9*T2^7 + 831*T1^10*T2^7 - 533*T1^11*T2^7 + 426*T1^12*T2^7 + 
      96*T1^13*T2^7 - 95*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      41*T1^2*T2^8 + 247*T1^3*T2^8 - 348*T1^4*T2^8 - 173*T1^5*T2^8 + 
      1954*T1^6*T2^8 - 4796*T1^7*T2^8 + 2400*T1^8*T2^8 + 2552*T1^9*T2^8 - 
      4502*T1^10*T2^8 + 1585*T1^11*T2^8 - 688*T1^12*T2^8 - 223*T1^13*T2^8 + 
      71*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      15*T1^2*T2^9 - 190*T1^3*T2^9 - 34*T1^4*T2^9 + 817*T1^5*T2^9 - 
      1613*T1^6*T2^9 + 2118*T1^7*T2^9 + 2552*T1^8*T2^9 - 5344*T1^9*T2^9 + 
      3716*T1^10*T2^9 + 674*T1^11*T2^9 - 390*T1^12*T2^9 + 565*T1^13*T2^9 + 
      44*T1^14*T2^9 - 135*T1^15*T2^9 - 25*T1^16*T2^9 - 13*T1^2*T2^10 + 
      65*T1^3*T2^10 + 190*T1^4*T2^10 - 462*T1^5*T2^10 + 44*T1^6*T2^10 + 
      831*T1^7*T2^10 - 4502*T1^8*T2^10 + 3716*T1^9*T2^10 - 622*T1^10*T2^10 - 
      1927*T1^11*T2^10 - 166*T1^12*T2^10 + 136*T1^13*T2^10 - 
      442*T1^14*T2^10 + 155*T1^15*T2^10 + 65*T1^16*T2^10 - 145*T1^4*T2^11 + 
      128*T1^5*T2^11 + 258*T1^6*T2^11 - 533*T1^7*T2^11 + 1585*T1^8*T2^11 + 
      674*T1^9*T2^11 - 1927*T1^10*T2^11 + 1339*T1^11*T2^11 + 
      1246*T1^12*T2^11 - 645*T1^13*T2^11 + 431*T1^14*T2^11 + 20*T1^15*T2^11 - 
      120*T1^16*T2^11 + 29*T1^4*T2^12 + 95*T1^5*T2^12 - 334*T1^6*T2^12 + 
      426*T1^7*T2^12 - 688*T1^8*T2^12 - 390*T1^9*T2^12 - 166*T1^10*T2^12 + 
      1246*T1^11*T2^12 - 2000*T1^12*T2^12 + 522*T1^13*T2^12 - 
      26*T1^14*T2^12 - 245*T1^15*T2^12 + 145*T1^16*T2^12 - 48*T1^5*T2^13 + 
      45*T1^6*T2^13 + 96*T1^7*T2^13 - 223*T1^8*T2^13 + 565*T1^9*T2^13 + 
      136*T1^10*T2^13 - 645*T1^11*T2^13 + 522*T1^12*T2^13 + 407*T1^13*T2^13 - 
      450*T1^14*T2^13 + 340*T1^15*T2^13 - 120*T1^16*T2^13 + 39*T1^6*T2^14 - 
      95*T1^7*T2^14 + 71*T1^8*T2^14 + 44*T1^9*T2^14 - 442*T1^10*T2^14 + 
      431*T1^11*T2^14 - 26*T1^12*T2^14 - 450*T1^13*T2^14 + 383*T1^14*T2^14 - 
      225*T1^15*T2^14 + 65*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 
      135*T1^9*T2^15 + 155*T1^10*T2^15 + 20*T1^11*T2^15 - 245*T1^12*T2^15 + 
      340*T1^13*T2^15 - 225*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 
      5*T1^8*T2^16 - 25*T1^9*T2^16 + 65*T1^10*T2^16 - 120*T1^11*T2^16 + 
      145*T1^12*T2^16 - 120*T1^13*T2^16 + 65*T1^14*T2^16 - 25*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 4] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 252*T1^2 + 331*T1^3 - 252*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 885*T1^2*T2 - 835*T1^3*T2 + 185*T1^4*T2 + 
      245*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 252*T2^2 + 885*T1*T2^2 - 
      959*T1^2*T2^2 - 117*T1^3*T2^2 + 1821*T1^4*T2^2 - 1789*T1^5*T2^2 + 
      801*T1^6*T2^2 + 5*T1^7*T2^2 - 76*T1^8*T2^2 + 331*T2^3 - 835*T1*T2^3 - 
      117*T1^2*T2^3 + 2394*T1^3*T2^3 - 3968*T1^4*T2^3 + 1684*T1^5*T2^3 + 
      748*T1^6*T2^3 - 1305*T1^7*T2^3 + 465*T1^8*T2^3 - 17*T1^9*T2^3 - 
      252*T2^4 + 185*T1*T2^4 + 1821*T1^2*T2^4 - 3968*T1^3*T2^4 + 
      3007*T1^4*T2^4 + 2203*T1^5*T2^4 - 4493*T1^6*T2^4 + 2528*T1^7*T2^4 - 
      107*T1^8*T2^4 - 415*T1^9*T2^4 + 100*T1^10*T2^4 + 115*T2^5 + 
      245*T1*T2^5 - 1789*T1^2*T2^5 + 1684*T1^3*T2^5 + 2203*T1^4*T2^5 - 
      6978*T1^5*T2^5 + 5640*T1^6*T2^5 + 47*T1^7*T2^5 - 2280*T1^8*T2^5 + 
      1335*T1^9*T2^5 - 75*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 801*T1^2*T2^6 + 748*T1^3*T2^6 - 4493*T1^4*T2^6 + 
      5640*T1^5*T2^6 - 1104*T1^6*T2^6 - 4992*T1^7*T2^6 + 3795*T1^8*T2^6 - 
      828*T1^9*T2^6 - 735*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 + 5*T1^2*T2^7 - 1305*T1^3*T2^7 + 2528*T1^4*T2^7 + 
      47*T1^5*T2^7 - 4992*T1^6*T2^7 + 7626*T1^7*T2^7 - 2109*T1^8*T2^7 - 
      1436*T1^9*T2^7 + 1819*T1^10*T2^7 - 315*T1^11*T2^7 - 125*T1^12*T2^7 - 
      76*T1^2*T2^8 + 465*T1^3*T2^8 - 107*T1^4*T2^8 - 2280*T1^5*T2^8 + 
      3795*T1^6*T2^8 - 2109*T1^7*T2^8 - 3705*T1^8*T2^8 + 4216*T1^9*T2^8 - 
      2035*T1^10*T2^8 - 135*T1^11*T2^8 + 276*T1^12*T2^8 - 17*T1^3*T2^9 - 
      415*T1^4*T2^9 + 1335*T1^5*T2^9 - 828*T1^6*T2^9 - 1436*T1^7*T2^9 + 
      4216*T1^8*T2^9 - 2474*T1^9*T2^9 + 147*T1^10*T2^9 + 885*T1^11*T2^9 - 
      365*T1^12*T2^9 + 100*T1^4*T2^10 - 75*T1^5*T2^10 - 735*T1^6*T2^10 + 
      1819*T1^7*T2^10 - 2035*T1^8*T2^10 + 147*T1^9*T2^10 + 1025*T1^10*T2^10 - 
      955*T1^11*T2^10 + 276*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      315*T1^7*T2^11 - 135*T1^8*T2^11 + 885*T1^9*T2^11 - 955*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      276*T1^8*T2^12 - 365*T1^9*T2^12 + 276*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 5] -> {-((1 - 3*T + T^2)^3/T^3), 
   -(((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
      (-3 + 18*T1 - 33*T1^2 + 18*T1^3 - 3*T1^4 + 18*T2 - 99*T1*T2 + 
       144*T1^2*T2 - 9*T1^3*T2 - 36*T1^4*T2 + 9*T1^5*T2 - 33*T2^2 + 
       144*T1*T2^2 - 45*T1^2*T2^2 - 380*T1^3*T2^2 + 285*T1^4*T2^2 - 
       54*T1^5*T2^2 + 18*T2^3 - 9*T1*T2^3 - 380*T1^2*T2^3 + 946*T1^3*T2^3 - 
       548*T1^4*T2^3 + 16*T1^5*T2^3 + 54*T1^6*T2^3 - 9*T1^7*T2^3 - 3*T2^4 - 
       36*T1*T2^4 + 285*T1^2*T2^4 - 548*T1^3*T2^4 + 96*T1^4*T2^4 + 
       496*T1^5*T2^4 - 297*T1^6*T2^4 + 36*T1^7*T2^4 + 3*T1^8*T2^4 + 
       9*T1*T2^5 - 54*T1^2*T2^5 + 16*T1^3*T2^5 + 496*T1^4*T2^5 - 
       998*T1^5*T2^5 + 412*T1^6*T2^5 + 9*T1^7*T2^5 - 18*T1^8*T2^5 + 
       54*T1^3*T2^6 - 297*T1^4*T2^6 + 412*T1^5*T2^6 + 33*T1^6*T2^6 - 
       144*T1^7*T2^6 + 33*T1^8*T2^6 - 9*T1^3*T2^7 + 36*T1^4*T2^7 + 
       9*T1^5*T2^7 - 144*T1^6*T2^7 + 99*T1^7*T2^7 - 18*T1^8*T2^7 + 
       3*T1^4*T2^8 - 18*T1^5*T2^8 + 33*T1^6*T2^8 - 18*T1^7*T2^8 + 
       3*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 6] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (-33 + 213*T1 - 520*T1^2 + 663*T1^3 - 520*T1^4 + 213*T1^5 - 33*T1^6 + 
     213*T2 - 1216*T1*T2 + 2329*T1^2*T2 - 1763*T1^3*T2 + 135*T1^4*T2 + 
     1159*T1^5*T2 - 826*T1^6*T2 + 161*T1^7*T2 - 520*T2^2 + 2329*T1*T2^2 - 
     1817*T1^2*T2^2 - 4116*T1^3*T2^2 + 8475*T1^4*T2^2 - 7700*T1^5*T2^2 + 
     2023*T1^6*T2^2 + 665*T1^7*T2^2 - 264*T1^8*T2^2 + 663*T2^3 - 
     1763*T1*T2^3 - 4116*T1^2*T2^3 + 15770*T1^3*T2^3 - 14996*T1^4*T2^3 + 
     4302*T1^5*T2^3 + 7628*T1^6*T2^3 - 5748*T1^7*T2^3 + 603*T1^8*T2^3 + 
     171*T1^9*T2^3 - 520*T2^4 + 135*T1*T2^4 + 8475*T1^2*T2^4 - 
     14996*T1^3*T2^4 - 1119*T1^4*T2^4 + 18789*T1^5*T2^4 - 23287*T1^6*T2^4 + 
     6488*T1^7*T2^4 + 2809*T1^8*T2^4 - 1061*T1^9*T2^4 - 8*T1^10*T2^4 + 
     213*T2^5 + 1159*T1*T2^5 - 7700*T1^2*T2^5 + 4302*T1^3*T2^5 + 
     18789*T1^4*T2^5 - 27096*T1^5*T2^5 + 14470*T1^6*T2^5 + 9253*T1^7*T2^5 - 
     10624*T1^8*T2^5 + 1740*T1^9*T2^5 + 353*T1^10*T2^5 - 47*T1^11*T2^5 - 
     33*T2^6 - 826*T1*T2^6 + 2023*T1^2*T2^6 + 7628*T1^3*T2^6 - 
     23287*T1^4*T2^6 + 14470*T1^5*T2^6 + 8292*T1^6*T2^6 - 22906*T1^7*T2^6 + 
     11205*T1^8*T2^6 + 1652*T1^9*T2^6 - 1901*T1^10*T2^6 + 214*T1^11*T2^6 + 
     15*T1^12*T2^6 + 161*T1*T2^7 + 665*T1^2*T2^7 - 5748*T1^3*T2^7 + 
     6488*T1^4*T2^7 + 9253*T1^5*T2^7 - 22906*T1^6*T2^7 + 18660*T1^7*T2^7 - 
     283*T1^8*T2^7 - 8438*T1^9*T2^7 + 3692*T1^10*T2^7 - 141*T1^11*T2^7 - 
     99*T1^12*T2^7 - 264*T1^2*T2^8 + 603*T1^3*T2^8 + 2809*T1^4*T2^8 - 
     10624*T1^5*T2^8 + 11205*T1^6*T2^8 - 283*T1^7*T2^8 - 10963*T1^8*T2^8 + 
     10860*T1^9*T2^8 - 2857*T1^10*T2^8 - 593*T1^11*T2^8 + 248*T1^12*T2^8 + 
     171*T1^3*T2^9 - 1061*T1^4*T2^9 + 1740*T1^5*T2^9 + 1652*T1^6*T2^9 - 
     8438*T1^7*T2^9 + 10860*T1^8*T2^9 - 6490*T1^9*T2^9 + 108*T1^10*T2^9 + 
     1305*T1^11*T2^9 - 321*T1^12*T2^9 - 8*T1^4*T2^10 + 353*T1^5*T2^10 - 
     1901*T1^6*T2^10 + 3692*T1^7*T2^10 - 2857*T1^8*T2^10 + 108*T1^9*T2^10 + 
     1939*T1^10*T2^10 - 1311*T1^11*T2^10 + 248*T1^12*T2^10 - 47*T1^5*T2^11 + 
     214*T1^6*T2^11 - 141*T1^7*T2^11 - 593*T1^8*T2^11 + 1305*T1^9*T2^11 - 
     1311*T1^10*T2^11 + 604*T1^11*T2^11 - 99*T1^12*T2^11 + 15*T1^6*T2^12 - 
     99*T1^7*T2^12 + 248*T1^8*T2^12 - 321*T1^9*T2^12 + 248*T1^10*T2^12 - 
     99*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 7] -> 
  {-((1 - 5*T + 12*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 36*T1^2 + 57*T1^3 - 63*T1^4 + 57*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 165*T1^3*T2 + 
      125*T1^4*T2 - 75*T1^5*T2 - 10*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 145*T1^3*T2^2 + 
      41*T1^4*T2^2 - 124*T1^5*T2^2 + 257*T1^6*T2^2 - 191*T1^7*T2^2 + 
      70*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 57*T2^3 - 165*T1*T2^3 + 
      145*T1^2*T2^3 + 49*T1^3*T2^3 - 326*T1^4*T2^3 + 272*T1^5*T2^3 - 
      361*T1^6*T2^3 + 52*T1^7*T2^3 + 169*T1^8*T2^3 - 179*T1^9*T2^3 + 
      60*T1^10*T2^3 - 63*T2^4 + 125*T1*T2^4 + 41*T1^2*T2^4 - 326*T1^3*T2^4 + 
      498*T1^4*T2^4 - 160*T1^5*T2^4 + 174*T1^6*T2^4 + 374*T1^7*T2^4 - 
      482*T1^8*T2^4 + 168*T1^9*T2^4 + 99*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 57*T2^5 - 75*T1*T2^5 - 124*T1^2*T2^5 + 272*T1^3*T2^5 - 
      160*T1^4*T2^5 - 354*T1^5*T2^5 + 238*T1^6*T2^5 - 732*T1^7*T2^5 + 
      424*T1^8*T2^5 + 269*T1^9*T2^5 - 335*T1^10*T2^5 + 83*T1^11*T2^5 + 
      85*T1^12*T2^5 - 38*T1^13*T2^5 - 36*T2^6 - 10*T1*T2^6 + 257*T1^2*T2^6 - 
      361*T1^3*T2^6 + 174*T1^4*T2^6 + 238*T1^5*T2^6 - 78*T1^6*T2^6 + 
      550*T1^7*T2^6 - 70*T1^8*T2^6 - 586*T1^9*T2^6 + 10*T1^10*T2^6 + 
      311*T1^11*T2^6 - 275*T1^12*T2^6 + 10*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 191*T1^2*T2^7 + 52*T1^3*T2^7 + 374*T1^4*T2^7 - 
      732*T1^5*T2^7 + 550*T1^6*T2^7 - 558*T1^7*T2^7 - 204*T1^8*T2^7 + 
      715*T1^9*T2^7 + 530*T1^10*T2^7 - 475*T1^11*T2^7 + 138*T1^12*T2^7 + 
      205*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      70*T1^2*T2^8 + 169*T1^3*T2^8 - 482*T1^4*T2^8 + 424*T1^5*T2^8 - 
      70*T1^6*T2^8 - 204*T1^7*T2^8 + 312*T1^8*T2^8 - 160*T1^9*T2^8 - 
      1412*T1^10*T2^8 + 420*T1^11*T2^8 + 138*T1^12*T2^8 - 341*T1^13*T2^8 - 
      8*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      10*T1^2*T2^9 - 179*T1^3*T2^9 + 168*T1^4*T2^9 + 269*T1^5*T2^9 - 
      586*T1^6*T2^9 + 715*T1^7*T2^9 - 160*T1^8*T2^9 + 194*T1^9*T2^9 + 
      880*T1^10*T2^9 + 676*T1^11*T2^9 - 580*T1^12*T2^9 + 254*T1^13*T2^9 + 
      217*T1^14*T2^9 - 115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 
      60*T1^3*T2^10 + 99*T1^4*T2^10 - 335*T1^5*T2^10 + 10*T1^6*T2^10 + 
      530*T1^7*T2^10 - 1412*T1^8*T2^10 + 880*T1^9*T2^10 - 1404*T1^10*T2^10 - 
      294*T1^11*T2^10 - 154*T1^12*T2^10 + 337*T1^13*T2^10 - 433*T1^14*T2^10 + 
      80*T1^15*T2^10 + 60*T1^16*T2^10 - 105*T1^4*T2^11 + 83*T1^5*T2^11 + 
      311*T1^6*T2^11 - 475*T1^7*T2^11 + 420*T1^8*T2^11 + 676*T1^9*T2^11 - 
      294*T1^10*T2^11 + 1198*T1^11*T2^11 - 46*T1^12*T2^11 - 296*T1^13*T2^11 + 
      290*T1^14*T2^11 + 55*T1^15*T2^11 - 95*T1^16*T2^11 + 21*T1^4*T2^12 + 
      85*T1^5*T2^12 - 275*T1^6*T2^12 + 138*T1^7*T2^12 + 138*T1^8*T2^12 - 
      580*T1^9*T2^12 - 154*T1^10*T2^12 - 46*T1^11*T2^12 - 842*T1^12*T2^12 + 
      632*T1^13*T2^12 - 217*T1^14*T2^12 - 145*T1^15*T2^12 + 105*T1^16*T2^12 - 
      38*T1^5*T2^13 + 10*T1^6*T2^13 + 205*T1^7*T2^13 - 341*T1^8*T2^13 + 
      254*T1^9*T2^13 + 337*T1^10*T2^13 - 296*T1^11*T2^13 + 632*T1^12*T2^13 - 
      221*T1^13*T2^13 - 119*T1^14*T2^13 + 235*T1^15*T2^13 - 95*T1^16*T2^13 + 
      36*T1^6*T2^14 - 80*T1^7*T2^14 - 8*T1^8*T2^14 + 217*T1^9*T2^14 - 
      433*T1^10*T2^14 + 290*T1^11*T2^14 - 217*T1^12*T2^14 - 119*T1^13*T2^14 + 
      256*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 115*T1^9*T2^15 + 80*T1^10*T2^15 + 55*T1^11*T2^15 - 
      145*T1^12*T2^15 + 235*T1^13*T2^15 - 200*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 60*T1^10*T2^16 - 
      95*T1^11*T2^16 + 105*T1^12*T2^16 - 95*T1^13*T2^16 + 60*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 8] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-23 + 127*T1 - 312*T1^2 + 427*T1^3 - 312*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1263*T1^2*T2 - 1229*T1^3*T2 + 179*T1^4*T2 + 
      427*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 312*T2^2 + 1263*T1*T2^2 - 
      1783*T1^2*T2^2 + 64*T1^3*T2^2 + 3013*T1^4*T2^2 - 2744*T1^5*T2^2 + 
      917*T1^6*T2^2 + 75*T1^7*T2^2 - 96*T1^8*T2^2 + 427*T2^3 - 1229*T1*T2^3 + 
      64*T1^2*T2^3 + 4489*T1^3*T2^3 - 7790*T1^4*T2^3 + 2782*T1^5*T2^3 + 
      1861*T1^6*T2^3 - 2069*T1^7*T2^3 + 619*T1^8*T2^3 - 17*T1^9*T2^3 - 
      312*T2^4 + 179*T1*T2^4 + 3013*T1^2*T2^4 - 7790*T1^3*T2^4 + 
      5931*T1^4*T2^4 + 5775*T1^5*T2^4 - 9833*T1^6*T2^4 + 4568*T1^7*T2^4 - 
      109*T1^8*T2^4 - 569*T1^9*T2^4 + 120*T1^10*T2^4 + 127*T2^5 + 
      427*T1*T2^5 - 2744*T1^2*T2^5 + 2782*T1^3*T2^5 + 5775*T1^4*T2^5 - 
      17598*T1^5*T2^5 + 13910*T1^6*T2^5 - 408*T1^7*T2^5 - 4218*T1^8*T2^5 + 
      2089*T1^9*T2^5 - 145*T1^10*T2^5 - 93*T1^11*T2^5 - 23*T2^6 - 
      332*T1*T2^6 + 917*T1^2*T2^6 + 1861*T1^3*T2^6 - 9833*T1^4*T2^6 + 
      13910*T1^5*T2^6 - 2736*T1^6*T2^6 - 12162*T1^7*T2^6 + 9357*T1^8*T2^6 - 
      1997*T1^9*T2^6 - 843*T1^10*T2^6 + 372*T1^11*T2^6 + 25*T1^12*T2^6 + 
      83*T1*T2^7 + 75*T1^2*T2^7 - 2069*T1^3*T2^7 + 4568*T1^4*T2^7 - 
      408*T1^5*T2^7 - 12162*T1^6*T2^7 + 19346*T1^7*T2^7 - 6591*T1^8*T2^7 - 
      2432*T1^9*T2^7 + 2764*T1^10*T2^7 - 497*T1^11*T2^7 - 137*T1^12*T2^7 - 
      96*T1^2*T2^8 + 619*T1^3*T2^8 - 109*T1^4*T2^8 - 4218*T1^5*T2^8 + 
      9357*T1^6*T2^8 - 6591*T1^7*T2^8 - 6407*T1^8*T2^8 + 8140*T1^9*T2^8 - 
      3231*T1^10*T2^8 - 129*T1^11*T2^8 + 336*T1^12*T2^8 - 17*T1^3*T2^9 - 
      569*T1^4*T2^9 + 2089*T1^5*T2^9 - 1997*T1^6*T2^9 - 2432*T1^7*T2^9 + 
      8140*T1^8*T2^9 - 4625*T1^9*T2^9 - 44*T1^10*T2^9 + 1279*T1^11*T2^9 - 
      461*T1^12*T2^9 + 120*T1^4*T2^10 - 145*T1^5*T2^10 - 843*T1^6*T2^10 + 
      2764*T1^7*T2^10 - 3231*T1^8*T2^10 - 44*T1^9*T2^10 + 1857*T1^10*T2^10 - 
      1333*T1^11*T2^10 + 336*T1^12*T2^10 - 93*T1^5*T2^11 + 372*T1^6*T2^11 - 
      497*T1^7*T2^11 - 129*T1^8*T2^11 + 1279*T1^9*T2^11 - 1333*T1^10*T2^11 + 
      658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 137*T1^7*T2^12 + 
      336*T1^8*T2^12 - 461*T1^9*T2^12 + 336*T1^10*T2^12 - 137*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 9] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 66*T1^3 - 66*T1^4 + 66*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 80*T1^3*T2 + 55*T1^4*T2 - 
     55*T1^5*T2 + 25*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 391*T1^3*T2^2 + 322*T1^4*T2^2 - 
     283*T1^5*T2^2 + 342*T1^6*T2^2 - 511*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 66*T2^3 - 80*T1*T2^3 - 391*T1^2*T2^3 + 
     815*T1^3*T2^3 - 215*T1^4*T2^3 + 159*T1^5*T2^3 - 248*T1^6*T2^3 + 
     307*T1^7*T2^3 + 461*T1^8*T2^3 - 421*T1^9*T2^3 + 35*T1^10*T2^3 + 
     33*T1^11*T2^3 - 66*T2^4 + 55*T1*T2^4 + 322*T1^2*T2^4 - 215*T1^3*T2^4 - 
     869*T1^4*T2^4 + 614*T1^5*T2^4 - 473*T1^6*T2^4 + 460*T1^7*T2^4 - 
     1089*T1^8*T2^4 + 291*T1^9*T2^4 + 212*T1^10*T2^4 - 55*T1^11*T2^4 - 
     22*T1^12*T2^4 + 66*T2^5 - 55*T1*T2^5 - 283*T1^2*T2^5 + 159*T1^3*T2^5 + 
     614*T1^4*T2^5 + 90*T1^5*T2^5 - 136*T1^6*T2^5 + 84*T1^7*T2^5 + 
     420*T1^8*T2^5 + 339*T1^9*T2^5 - 226*T1^10*T2^5 - 118*T1^11*T2^5 + 
     55*T1^12*T2^5 + 11*T1^13*T2^5 - 60*T2^6 + 25*T1*T2^6 + 342*T1^2*T2^6 - 
     248*T1^3*T2^6 - 473*T1^4*T2^6 - 136*T1^5*T2^6 - 109*T1^6*T2^6 + 
     271*T1^7*T2^6 - 669*T1^8*T2^6 + 84*T1^9*T2^6 - 253*T1^10*T2^6 + 
     192*T1^11*T2^6 + 62*T1^12*T2^6 - 55*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     511*T1^2*T2^7 + 307*T1^3*T2^7 + 460*T1^4*T2^7 + 84*T1^5*T2^7 + 
     271*T1^6*T2^7 - 354*T1^7*T2^7 + 374*T1^8*T2^7 + 182*T1^9*T2^7 - 
     136*T1^10*T2^7 + 251*T1^11*T2^7 - 279*T1^12*T2^7 + 59*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     461*T1^3*T2^8 - 1089*T1^4*T2^8 + 420*T1^5*T2^8 - 669*T1^6*T2^8 + 
     374*T1^7*T2^8 + 108*T1^8*T2^8 - 474*T1^9*T2^8 + 309*T1^10*T2^8 - 
     240*T1^11*T2^8 + 139*T1^12*T2^8 + 115*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     421*T1^3*T2^9 + 291*T1^4*T2^9 + 339*T1^5*T2^9 + 84*T1^6*T2^9 + 
     182*T1^7*T2^9 - 474*T1^8*T2^9 + 254*T1^9*T2^9 + 93*T1^10*T2^9 - 
     136*T1^11*T2^9 + 130*T1^12*T2^9 - 295*T1^13*T2^9 + 149*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 35*T1^3*T2^10 + 212*T1^4*T2^10 - 
     226*T1^5*T2^10 - 253*T1^6*T2^10 - 136*T1^7*T2^10 + 309*T1^8*T2^10 + 
     93*T1^9*T2^10 - 251*T1^10*T2^10 + 84*T1^11*T2^10 - 33*T1^12*T2^10 + 
     214*T1^13*T2^10 - 68*T1^14*T2^10 - 45*T1^15*T2^10 + 20*T1^16*T2^10 + 
     33*T1^3*T2^11 - 55*T1^4*T2^11 - 118*T1^5*T2^11 + 192*T1^6*T2^11 + 
     251*T1^7*T2^11 - 240*T1^8*T2^11 - 136*T1^9*T2^11 + 84*T1^10*T2^11 + 
     90*T1^11*T2^11 - 24*T1^12*T2^11 - 193*T1^13*T2^11 + 47*T1^14*T2^11 + 
     55*T1^15*T2^11 - 22*T1^16*T2^11 - 22*T1^4*T2^12 + 55*T1^5*T2^12 + 
     62*T1^6*T2^12 - 279*T1^7*T2^12 + 139*T1^8*T2^12 + 130*T1^9*T2^12 - 
     33*T1^10*T2^12 - 24*T1^11*T2^12 - 81*T1^12*T2^12 + 227*T1^13*T2^12 - 
     48*T1^14*T2^12 - 55*T1^15*T2^12 + 22*T1^16*T2^12 + 11*T1^5*T2^13 - 
     55*T1^6*T2^13 + 59*T1^7*T2^13 + 115*T1^8*T2^13 - 295*T1^9*T2^13 + 
     214*T1^10*T2^13 - 193*T1^11*T2^13 + 227*T1^12*T2^13 - 239*T1^13*T2^13 + 
     29*T1^14*T2^13 + 60*T1^15*T2^13 - 22*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 149*T1^9*T2^14 - 68*T1^10*T2^14 + 47*T1^11*T2^14 - 
     48*T1^12*T2^14 + 29*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 45*T1^10*T2^15 + 
     55*T1^11*T2^15 - 55*T1^12*T2^15 + 60*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 22*T1^11*T2^16 + 22*T1^12*T2^16 - 22*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 10] -> 
  {(2 - 11*T + 25*T^2 - 31*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 410*T1^2 + 507*T1^3 - 410*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1499*T1^2*T2 - 1083*T1^3*T2 + 149*T1^4*T2 + 
     707*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 410*T2^2 + 1499*T1*T2^2 - 
     1192*T1^2*T2^2 - 1869*T1^3*T2^2 + 3852*T1^4*T2^2 - 3869*T1^5*T2^2 + 
     1108*T1^6*T2^2 + 399*T1^7*T2^2 - 210*T1^8*T2^2 + 507*T2^3 - 
     1083*T1*T2^3 - 1869*T1^2*T2^3 + 7185*T1^3*T2^3 - 6394*T1^4*T2^3 + 
     2310*T1^5*T2^3 + 3423*T1^6*T2^3 - 2944*T1^7*T2^3 + 413*T1^8*T2^3 + 
     135*T1^9*T2^3 - 410*T2^4 + 149*T1*T2^4 + 3852*T1^2*T2^4 - 
     6394*T1^3*T2^4 - 981*T1^4*T2^4 + 7441*T1^5*T2^4 - 10021*T1^6*T2^4 + 
     3092*T1^7*T2^4 + 1350*T1^8*T2^4 - 687*T1^9*T2^4 - 10*T1^10*T2^4 + 
     181*T2^5 + 707*T1*T2^5 - 3869*T1^2*T2^5 + 2310*T1^3*T2^5 + 
     7441*T1^4*T2^5 - 9760*T1^5*T2^5 + 5370*T1^6*T2^5 + 4016*T1^7*T2^5 - 
     4830*T1^8*T2^5 + 906*T1^9*T2^5 + 267*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1108*T1^2*T2^6 + 3423*T1^3*T2^6 - 
     10021*T1^4*T2^6 + 5370*T1^5*T2^6 + 3324*T1^6*T2^6 - 8762*T1^7*T2^6 + 
     4325*T1^8*T2^6 + 1029*T1^9*T2^6 - 1116*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 399*T1^2*T2^7 - 2944*T1^3*T2^7 + 
     3092*T1^4*T2^7 + 4016*T1^5*T2^7 - 8762*T1^6*T2^7 + 6368*T1^7*T2^7 + 
     591*T1^8*T2^7 - 4048*T1^9*T2^7 + 1831*T1^10*T2^7 - 41*T1^11*T2^7 - 
     83*T1^12*T2^7 - 210*T1^2*T2^8 + 413*T1^3*T2^8 + 1350*T1^4*T2^8 - 
     4830*T1^5*T2^8 + 4325*T1^6*T2^8 + 591*T1^7*T2^8 - 4715*T1^8*T2^8 + 
     4656*T1^9*T2^8 - 1152*T1^10*T2^8 - 423*T1^11*T2^8 + 190*T1^12*T2^8 + 
     135*T1^3*T2^9 - 687*T1^4*T2^9 + 906*T1^5*T2^9 + 1029*T1^6*T2^9 - 
     4048*T1^7*T2^9 + 4656*T1^8*T2^9 - 2733*T1^9*T2^9 - 169*T1^10*T2^9 + 
     809*T1^11*T2^9 - 237*T1^12*T2^9 - 10*T1^4*T2^10 + 267*T1^5*T2^10 - 
     1116*T1^6*T2^10 + 1831*T1^7*T2^10 - 1152*T1^8*T2^10 - 169*T1^9*T2^10 + 
     1184*T1^10*T2^10 - 833*T1^11*T2^10 + 190*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 41*T1^7*T2^11 - 423*T1^8*T2^11 + 809*T1^9*T2^11 - 
     833*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 190*T1^8*T2^12 - 237*T1^9*T2^12 + 190*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 11] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-25 + 137*T1 - 324*T1^2 + 437*T1^3 - 324*T1^4 + 137*T1^5 - 25*T1^6 + 
      137*T2 - 658*T1*T2 + 1267*T1^2*T2 - 1191*T1^3*T2 + 151*T1^4*T2 + 
      453*T1^5*T2 - 372*T1^6*T2 + 93*T1^7*T2 - 324*T2^2 + 1267*T1*T2^2 - 
      1541*T1^2*T2^2 - 254*T1^3*T2^2 + 3137*T1^4*T2^2 - 2750*T1^5*T2^2 + 
      955*T1^6*T2^2 + 123*T1^7*T2^2 - 116*T1^8*T2^2 + 437*T2^3 - 
      1191*T1*T2^3 - 254*T1^2*T2^3 + 4416*T1^3*T2^3 - 7235*T1^4*T2^3 + 
      2441*T1^5*T2^3 + 1604*T1^6*T2^3 - 1996*T1^7*T2^3 + 547*T1^8*T2^3 + 
      17*T1^9*T2^3 - 324*T2^4 + 151*T1*T2^4 + 3137*T1^2*T2^4 - 
      7235*T1^3*T2^4 + 5580*T1^4*T2^4 + 4938*T1^5*T2^4 - 7908*T1^6*T2^4 + 
      3965*T1^7*T2^4 + 75*T1^8*T2^4 - 597*T1^9*T2^4 + 92*T1^10*T2^4 + 
      137*T2^5 + 453*T1*T2^5 - 2750*T1^2*T2^5 + 2441*T1^3*T2^5 + 
      4938*T1^4*T2^5 - 14996*T1^5*T2^5 + 10198*T1^6*T2^5 + 154*T1^7*T2^5 - 
      4187*T1^8*T2^5 + 2008*T1^9*T2^5 - 53*T1^10*T2^5 - 83*T1^11*T2^5 - 
      25*T2^6 - 372*T1*T2^6 + 955*T1^2*T2^6 + 1604*T1^3*T2^6 - 
      7908*T1^4*T2^6 + 10198*T1^5*T2^6 + 1044*T1^6*T2^6 - 10898*T1^7*T2^6 + 
      8224*T1^8*T2^6 - 1524*T1^9*T2^6 - 1041*T1^10*T2^6 + 332*T1^11*T2^6 + 
      23*T1^12*T2^6 + 93*T1*T2^7 + 123*T1^2*T2^7 - 1996*T1^3*T2^7 + 
      3965*T1^4*T2^7 + 154*T1^5*T2^7 - 10898*T1^6*T2^7 + 14296*T1^7*T2^7 - 
      4630*T1^8*T2^7 - 2663*T1^9*T2^7 + 2762*T1^10*T2^7 - 383*T1^11*T2^7 - 
      127*T1^12*T2^7 - 116*T1^2*T2^8 + 547*T1^3*T2^8 + 75*T1^4*T2^8 - 
      4187*T1^5*T2^8 + 8224*T1^6*T2^8 - 4630*T1^7*T2^8 - 5264*T1^8*T2^8 + 
      7013*T1^9*T2^8 - 2987*T1^10*T2^8 - 201*T1^11*T2^8 + 300*T1^12*T2^8 + 
      17*T1^3*T2^9 - 597*T1^4*T2^9 + 2008*T1^5*T2^9 - 1524*T1^6*T2^9 - 
      2663*T1^7*T2^9 + 7013*T1^8*T2^9 - 4336*T1^9*T2^9 + 266*T1^10*T2^9 + 
      1141*T1^11*T2^9 - 403*T1^12*T2^9 + 92*T1^4*T2^10 - 53*T1^5*T2^10 - 
      1041*T1^6*T2^10 + 2762*T1^7*T2^10 - 2987*T1^8*T2^10 + 266*T1^9*T2^10 + 
      1455*T1^10*T2^10 - 1197*T1^11*T2^10 + 300*T1^12*T2^10 - 83*T1^5*T2^11 + 
      332*T1^6*T2^11 - 383*T1^7*T2^11 - 201*T1^8*T2^11 + 1141*T1^9*T2^11 - 
      1197*T1^10*T2^11 + 618*T1^11*T2^11 - 127*T1^12*T2^11 + 23*T1^6*T2^12 - 
      127*T1^7*T2^12 + 300*T1^8*T2^12 - 403*T1^9*T2^12 + 300*T1^10*T2^12 - 
      127*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 12] -> 
  {(2 - 11*T + 24*T^2 - 29*T^3 + 24*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 394*T1^2 + 475*T1^3 - 394*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1411*T1^2*T2 - 973*T1^3*T2 + 193*T1^4*T2 + 
     641*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 394*T2^2 + 1411*T1*T2^2 - 
     792*T1^2*T2^2 - 2192*T1^3*T2^2 + 3728*T1^4*T2^2 - 3920*T1^5*T2^2 + 
     1320*T1^6*T2^2 + 355*T1^7*T2^2 - 202*T1^8*T2^2 + 475*T2^3 - 
     973*T1*T2^3 - 2192*T1^2*T2^3 + 6828*T1^3*T2^3 - 5486*T1^4*T2^3 + 
     2416*T1^5*T2^3 + 2982*T1^6*T2^3 - 2936*T1^7*T2^3 + 413*T1^8*T2^3 + 
     127*T1^9*T2^3 - 394*T2^4 + 193*T1*T2^4 + 3728*T1^2*T2^4 - 
     5486*T1^3*T2^4 - 1441*T1^4*T2^4 + 5879*T1^5*T2^4 - 8701*T1^6*T2^4 + 
     2982*T1^7*T2^4 + 1318*T1^8*T2^4 - 643*T1^9*T2^4 - 10*T1^10*T2^4 + 
     181*T2^5 + 641*T1*T2^5 - 3920*T1^2*T2^5 + 2416*T1^3*T2^5 + 
     5879*T1^4*T2^5 - 6574*T1^5*T2^5 + 4024*T1^6*T2^5 + 3431*T1^7*T2^5 - 
     4354*T1^8*T2^5 + 760*T1^9*T2^5 + 267*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1320*T1^2*T2^6 + 2982*T1^3*T2^6 - 
     8701*T1^4*T2^6 + 4024*T1^5*T2^6 + 1968*T1^6*T2^6 - 6328*T1^7*T2^6 + 
     3183*T1^8*T2^6 + 1230*T1^9*T2^6 - 1124*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 355*T1^2*T2^7 - 2936*T1^3*T2^7 + 
     2982*T1^4*T2^7 + 3431*T1^5*T2^7 - 6328*T1^6*T2^7 + 4270*T1^7*T2^7 + 
     983*T1^8*T2^7 - 3788*T1^9*T2^7 + 1744*T1^10*T2^7 - 19*T1^11*T2^7 - 
     83*T1^12*T2^7 - 202*T1^2*T2^8 + 413*T1^3*T2^8 + 1318*T1^4*T2^8 - 
     4354*T1^5*T2^8 + 3183*T1^6*T2^8 + 983*T1^7*T2^8 - 4077*T1^8*T2^8 + 
     4114*T1^9*T2^8 - 1092*T1^10*T2^8 - 423*T1^11*T2^8 + 182*T1^12*T2^8 + 
     127*T1^3*T2^9 - 643*T1^4*T2^9 + 760*T1^5*T2^9 + 1230*T1^6*T2^9 - 
     3788*T1^7*T2^9 + 4114*T1^8*T2^9 - 2616*T1^9*T2^9 + 16*T1^10*T2^9 + 
     743*T1^11*T2^9 - 221*T1^12*T2^9 - 10*T1^4*T2^10 + 267*T1^5*T2^10 - 
     1124*T1^6*T2^10 + 1744*T1^7*T2^10 - 1092*T1^8*T2^10 + 16*T1^9*T2^10 + 
     988*T1^10*T2^10 - 789*T1^11*T2^10 + 182*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 19*T1^7*T2^11 - 423*T1^8*T2^11 + 743*T1^9*T2^11 - 
     789*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 182*T1^8*T2^12 - 221*T1^9*T2^12 + 182*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 13] -> {(3 - 15*T + 25*T^2 - 15*T^3 + 3*T^4)/T^2, 
   (-63 + 315*T1 - 527*T1^2 + 315*T1^3 - 63*T1^4 + 315*T2 - 1395*T1*T2 + 
     1735*T1^2*T2 - 65*T1^3*T2 - 585*T1^4*T2 + 180*T1^5*T2 - 527*T2^2 + 
     1735*T1*T2^2 - 7*T1^2*T2^2 - 4479*T1^3*T2^2 + 3293*T1^4*T2^2 - 
     515*T1^5*T2^2 - 77*T1^6*T2^2 + 315*T2^3 - 65*T1*T2^3 - 4479*T1^2*T2^3 + 
     9008*T1^3*T2^3 - 3562*T1^4*T2^3 - 1104*T1^5*T2^3 + 835*T1^6*T2^3 - 
     90*T1^7*T2^3 - 63*T2^4 - 585*T1*T2^4 + 3293*T1^2*T2^4 - 3562*T1^3*T2^4 - 
     3156*T1^4*T2^4 + 5798*T1^5*T2^4 - 2557*T1^6*T2^4 + 225*T1^7*T2^4 + 
     45*T1^8*T2^4 + 180*T1*T2^5 - 515*T1^2*T2^5 - 1104*T1^3*T2^5 + 
     5798*T1^4*T2^5 - 6772*T1^5*T2^5 + 2271*T1^6*T2^5 + 385*T1^7*T2^5 - 
     225*T1^8*T2^5 - 77*T1^2*T2^6 + 835*T1^3*T2^6 - 2557*T1^4*T2^6 + 
     2271*T1^5*T2^6 + 743*T1^6*T2^6 - 1415*T1^7*T2^6 + 373*T1^8*T2^6 - 
     90*T1^3*T2^7 + 225*T1^4*T2^7 + 385*T1^5*T2^7 - 1415*T1^6*T2^7 + 
     1035*T1^7*T2^7 - 225*T1^8*T2^7 + 45*T1^4*T2^8 - 225*T1^5*T2^8 + 
     373*T1^6*T2^8 - 225*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 14] -> 
  {(1 - 5*T + 15*T^2 - 28*T^3 + 35*T^4 - 28*T^5 + 15*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 60*T1^2 + 112*T1^3 - 140*T1^4 + 112*T1^5 - 60*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 225*T1^2*T2 - 335*T1^3*T2 + 
     280*T1^4*T2 - 35*T1^5*T2 - 120*T1^6*T2 + 125*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 60*T2^2 + 225*T1*T2^2 - 556*T1^2*T2^2 + 711*T1^3*T2^2 - 
     464*T1^4*T2^2 - 88*T1^5*T2^2 + 136*T1^6*T2^2 + 21*T1^7*T2^2 - 
     136*T1^8*T2^2 + 75*T1^9*T2^2 - 30*T1^10*T2^2 + 112*T2^3 - 335*T1*T2^3 + 
     711*T1^2*T2^3 - 507*T1^3*T2^3 - 232*T1^4*T2^3 + 945*T1^5*T2^3 - 
     168*T1^6*T2^3 - 367*T1^7*T2^3 + 429*T1^8*T2^3 - 99*T1^9*T2^3 + 
     10*T1^10*T2^3 + 28*T1^11*T2^3 - 140*T2^4 + 280*T1*T2^4 - 464*T1^2*T2^4 - 
     232*T1^3*T2^4 + 770*T1^4*T2^4 - 302*T1^5*T2^4 - 2154*T1^6*T2^4 + 
     2078*T1^7*T2^4 - 910*T1^8*T2^4 - 232*T1^9*T2^4 + 236*T1^10*T2^4 - 
     140*T1^11*T2^4 + 112*T2^5 - 35*T1*T2^5 - 88*T1^2*T2^5 + 945*T1^3*T2^5 - 
     302*T1^4*T2^5 - 1907*T1^5*T2^5 + 4769*T1^6*T2^5 - 1916*T1^7*T2^5 - 
     787*T1^8*T2^5 + 1623*T1^9*T2^5 - 490*T1^10*T2^5 + 17*T1^11*T2^5 + 
     140*T1^12*T2^5 - 28*T1^13*T2^5 - 60*T2^6 - 120*T1*T2^6 + 136*T1^2*T2^6 - 
     168*T1^3*T2^6 - 2154*T1^4*T2^6 + 4769*T1^5*T2^6 - 4880*T1^6*T2^6 - 
     1930*T1^7*T2^6 + 4500*T1^8*T2^6 - 2861*T1^9*T2^6 + 16*T1^10*T2^6 + 
     462*T1^11*T2^6 - 264*T1^12*T2^6 - 10*T1^13*T2^6 + 30*T1^14*T2^6 + 
     20*T2^7 + 125*T1*T2^7 + 21*T1^2*T2^7 - 367*T1^3*T2^7 + 2078*T1^4*T2^7 - 
     1916*T1^5*T2^7 - 1930*T1^6*T2^7 + 8600*T1^7*T2^7 - 6250*T1^8*T2^7 + 
     160*T1^9*T2^7 + 2879*T1^10*T2^7 - 1667*T1^11*T2^7 + 308*T1^12*T2^7 + 
     111*T1^13*T2^7 - 75*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     136*T1^2*T2^8 + 429*T1^3*T2^8 - 910*T1^4*T2^8 - 787*T1^5*T2^8 + 
     4500*T1^6*T2^8 - 6250*T1^7*T2^8 - 444*T1^8*T2^8 + 6470*T1^9*T2^8 - 
     5044*T1^10*T2^8 + 991*T1^11*T2^8 + 830*T1^12*T2^8 - 477*T1^13*T2^8 + 
     134*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     75*T1^2*T2^9 - 99*T1^3*T2^9 - 232*T1^4*T2^9 + 1623*T1^5*T2^9 - 
     2861*T1^6*T2^9 + 160*T1^7*T2^9 + 6470*T1^8*T2^9 - 8380*T1^9*T2^9 + 
     2250*T1^10*T2^9 + 1934*T1^11*T2^9 - 2122*T1^12*T2^9 + 443*T1^13*T2^9 - 
     9*T1^14*T2^9 - 125*T1^15*T2^9 - 20*T1^16*T2^9 - 30*T1^2*T2^10 + 
     10*T1^3*T2^10 + 236*T1^4*T2^10 - 490*T1^5*T2^10 + 16*T1^6*T2^10 + 
     2879*T1^7*T2^10 - 5044*T1^8*T2^10 + 2250*T1^9*T2^10 + 4336*T1^10*T2^10 - 
     4751*T1^11*T2^10 + 2186*T1^12*T2^10 + 140*T1^13*T2^10 - 
     164*T1^14*T2^10 + 120*T1^15*T2^10 + 60*T1^16*T2^10 + 28*T1^3*T2^11 - 
     140*T1^4*T2^11 + 17*T1^5*T2^11 + 462*T1^6*T2^11 - 1667*T1^7*T2^11 + 
     991*T1^8*T2^11 + 1934*T1^9*T2^11 - 4751*T1^10*T2^11 + 2111*T1^11*T2^11 + 
     258*T1^12*T2^11 - 973*T1^13*T2^11 + 122*T1^14*T2^11 + 35*T1^15*T2^11 - 
     112*T1^16*T2^11 + 140*T1^5*T2^12 - 264*T1^6*T2^12 + 308*T1^7*T2^12 + 
     830*T1^8*T2^12 - 2122*T1^9*T2^12 + 2186*T1^10*T2^12 + 258*T1^11*T2^12 - 
     850*T1^12*T2^12 + 308*T1^13*T2^12 + 436*T1^14*T2^12 - 280*T1^15*T2^12 + 
     140*T1^16*T2^12 - 28*T1^5*T2^13 - 10*T1^6*T2^13 + 111*T1^7*T2^13 - 
     477*T1^8*T2^13 + 443*T1^9*T2^13 + 140*T1^10*T2^13 - 973*T1^11*T2^13 + 
     308*T1^12*T2^13 + 459*T1^13*T2^13 - 699*T1^14*T2^13 + 335*T1^15*T2^13 - 
     112*T1^16*T2^13 + 30*T1^6*T2^14 - 75*T1^7*T2^14 + 134*T1^8*T2^14 - 
     9*T1^9*T2^14 - 164*T1^10*T2^14 + 122*T1^11*T2^14 + 436*T1^12*T2^14 - 
     699*T1^13*T2^14 + 554*T1^14*T2^14 - 225*T1^15*T2^14 + 60*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 125*T1^9*T2^15 + 120*T1^10*T2^15 + 
     35*T1^11*T2^15 - 280*T1^12*T2^15 + 335*T1^13*T2^15 - 225*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     60*T1^10*T2^16 - 112*T1^11*T2^16 + 140*T1^12*T2^16 - 112*T1^13*T2^16 + 
     60*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 15] -> 
  {-((1 - 5*T + 13*T^2 - 22*T^3 + 25*T^4 - 22*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 39*T1^2 + 66*T1^3 - 75*T1^4 + 66*T1^5 - 39*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 145*T1^2*T2 - 200*T1^3*T2 + 
      155*T1^4*T2 - 80*T1^5*T2 - 25*T1^6*T2 + 55*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 39*T2^2 + 145*T1*T2^2 - 271*T1^2*T2^2 + 279*T1^3*T2^2 - 
      58*T1^4*T2^2 - 85*T1^5*T2^2 + 254*T1^6*T2^2 - 163*T1^7*T2^2 + 
      41*T1^8*T2^2 + 15*T1^9*T2^2 - 13*T1^10*T2^2 + 66*T2^3 - 200*T1*T2^3 + 
      279*T1^2*T2^3 - 113*T1^3*T2^3 - 325*T1^4*T2^3 + 335*T1^5*T2^3 - 
      410*T1^6*T2^3 - 30*T1^7*T2^3 + 235*T1^8*T2^3 - 189*T1^9*T2^3 + 
      65*T1^10*T2^3 - 75*T2^4 + 155*T1*T2^4 - 58*T1^2*T2^4 - 325*T1^3*T2^4 + 
      776*T1^4*T2^4 - 299*T1^5*T2^4 + 146*T1^6*T2^4 + 641*T1^7*T2^4 - 
      564*T1^8*T2^4 + 115*T1^9*T2^4 + 142*T1^10*T2^4 - 125*T1^11*T2^4 + 
      25*T1^12*T2^4 + 66*T2^5 - 80*T1*T2^5 - 85*T1^2*T2^5 + 335*T1^3*T2^5 - 
      299*T1^4*T2^5 - 807*T1^5*T2^5 + 887*T1^6*T2^5 - 1410*T1^7*T2^5 + 
      483*T1^8*T2^5 + 428*T1^9*T2^5 - 404*T1^10*T2^5 + 74*T1^11*T2^5 + 
      95*T1^12*T2^5 - 44*T1^13*T2^5 - 39*T2^6 - 25*T1*T2^6 + 254*T1^2*T2^6 - 
      410*T1^3*T2^6 + 146*T1^4*T2^6 + 887*T1^5*T2^6 - 417*T1^6*T2^6 + 
      409*T1^7*T2^6 + 839*T1^8*T2^6 - 1319*T1^9*T2^6 + 216*T1^10*T2^6 + 
      344*T1^11*T2^6 - 282*T1^12*T2^6 + 25*T1^13*T2^6 + 39*T1^14*T2^6 + 
      15*T2^7 + 55*T1*T2^7 - 163*T1^2*T2^7 - 30*T1^3*T2^7 + 641*T1^4*T2^7 - 
      1410*T1^5*T2^7 + 409*T1^6*T2^7 + 240*T1^7*T2^7 - 1220*T1^8*T2^7 + 
      939*T1^9*T2^7 + 1069*T1^10*T2^7 - 938*T1^11*T2^7 + 255*T1^12*T2^7 + 
      149*T1^13*T2^7 - 95*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      41*T1^2*T2^8 + 235*T1^3*T2^8 - 564*T1^4*T2^8 + 483*T1^5*T2^8 + 
      839*T1^6*T2^8 - 1220*T1^7*T2^8 + 492*T1^8*T2^8 + 664*T1^9*T2^8 - 
      2589*T1^10*T2^8 + 801*T1^11*T2^8 + 284*T1^12*T2^8 - 403*T1^13*T2^8 + 
      71*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      15*T1^2*T2^9 - 189*T1^3*T2^9 + 115*T1^4*T2^9 + 428*T1^5*T2^9 - 
      1319*T1^6*T2^9 + 939*T1^7*T2^9 + 664*T1^8*T2^9 - 796*T1^9*T2^9 + 
      1469*T1^10*T2^9 + 1160*T1^11*T2^9 - 1151*T1^12*T2^9 + 400*T1^13*T2^9 + 
      123*T1^14*T2^9 - 135*T1^15*T2^9 - 25*T1^16*T2^9 - 13*T1^2*T2^10 + 
      65*T1^3*T2^10 + 142*T1^4*T2^10 - 404*T1^5*T2^10 + 216*T1^6*T2^10 + 
      1069*T1^7*T2^10 - 2589*T1^8*T2^10 + 1469*T1^9*T2^10 - 
      1333*T1^10*T2^10 - 1137*T1^11*T2^10 + 286*T1^12*T2^10 + 
      350*T1^13*T2^10 - 394*T1^14*T2^10 + 115*T1^15*T2^10 + 65*T1^16*T2^10 - 
      125*T1^4*T2^11 + 74*T1^5*T2^11 + 344*T1^6*T2^11 - 938*T1^7*T2^11 + 
      801*T1^8*T2^11 + 1160*T1^9*T2^11 - 1137*T1^10*T2^11 + 
      2091*T1^11*T2^11 - 211*T1^12*T2^11 - 395*T1^13*T2^11 + 
      233*T1^14*T2^11 + 50*T1^15*T2^11 - 110*T1^16*T2^11 + 25*T1^4*T2^12 + 
      95*T1^5*T2^12 - 282*T1^6*T2^12 + 255*T1^7*T2^12 + 284*T1^8*T2^12 - 
      1151*T1^9*T2^12 + 286*T1^10*T2^12 - 211*T1^11*T2^12 - 
      1056*T1^12*T2^12 + 695*T1^13*T2^12 - 82*T1^14*T2^12 - 185*T1^15*T2^12 + 
      125*T1^16*T2^12 - 44*T1^5*T2^13 + 25*T1^6*T2^13 + 149*T1^7*T2^13 - 
      403*T1^8*T2^13 + 400*T1^9*T2^13 + 350*T1^10*T2^13 - 395*T1^11*T2^13 + 
      695*T1^12*T2^13 - 55*T1^13*T2^13 - 319*T1^14*T2^13 + 290*T1^15*T2^13 - 
      110*T1^16*T2^13 + 39*T1^6*T2^14 - 95*T1^7*T2^14 + 71*T1^8*T2^14 + 
      123*T1^9*T2^14 - 394*T1^10*T2^14 + 233*T1^11*T2^14 - 82*T1^12*T2^14 - 
      319*T1^13*T2^14 + 383*T1^14*T2^14 - 225*T1^15*T2^14 + 65*T1^16*T2^14 - 
      20*T1^7*T2^15 + 75*T1^8*T2^15 - 135*T1^9*T2^15 + 115*T1^10*T2^15 + 
      50*T1^11*T2^15 - 185*T1^12*T2^15 + 290*T1^13*T2^15 - 225*T1^14*T2^15 + 
      105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 
      65*T1^10*T2^16 - 110*T1^11*T2^16 + 125*T1^12*T2^16 - 110*T1^13*T2^16 + 
      65*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 16] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 276*T1^2 + 379*T1^3 - 276*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 1005*T1^2*T2 - 995*T1^3*T2 + 145*T1^4*T2 + 
      325*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 276*T2^2 + 1005*T1*T2^2 - 
      1521*T1^2*T2^2 + 471*T1^3*T2^2 + 1853*T1^4*T2^2 - 1737*T1^5*T2^2 + 
      591*T1^6*T2^2 + 45*T1^7*T2^2 - 84*T1^8*T2^2 + 379*T2^3 - 995*T1*T2^3 + 
      471*T1^2*T2^3 + 2422*T1^3*T2^3 - 5148*T1^4*T2^3 + 1800*T1^5*T2^3 + 
      1192*T1^6*T2^3 - 1401*T1^7*T2^3 + 505*T1^8*T2^3 - 17*T1^9*T2^3 - 
      276*T2^4 + 145*T1*T2^4 + 1853*T1^2*T2^4 - 5148*T1^3*T2^4 + 
      4666*T1^4*T2^4 + 3588*T1^5*T2^4 - 6290*T1^6*T2^4 + 3036*T1^7*T2^4 - 
      139*T1^8*T2^4 - 455*T1^9*T2^4 + 108*T1^10*T2^4 + 115*T2^5 + 
      325*T1*T2^5 - 1737*T1^2*T2^5 + 1800*T1^3*T2^5 + 3588*T1^4*T2^5 - 
      12358*T1^5*T2^5 + 9506*T1^6*T2^5 - 540*T1^7*T2^5 - 2676*T1^8*T2^5 + 
      1479*T1^9*T2^5 - 115*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 591*T1^2*T2^6 + 1192*T1^3*T2^6 - 6290*T1^4*T2^6 + 
      9506*T1^5*T2^6 - 1392*T1^6*T2^6 - 8430*T1^7*T2^6 + 6430*T1^8*T2^6 - 
      1520*T1^9*T2^6 - 529*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 + 45*T1^2*T2^7 - 1401*T1^3*T2^7 + 3036*T1^4*T2^7 - 
      540*T1^5*T2^7 - 8430*T1^6*T2^7 + 13434*T1^7*T2^7 - 4668*T1^8*T2^7 - 
      1440*T1^9*T2^7 + 1815*T1^10*T2^7 - 395*T1^11*T2^7 - 125*T1^12*T2^7 - 
      84*T1^2*T2^8 + 505*T1^3*T2^8 - 139*T1^4*T2^8 - 2676*T1^5*T2^8 + 
      6430*T1^6*T2^8 - 4668*T1^7*T2^8 - 4526*T1^8*T2^8 + 5508*T1^9*T2^8 - 
      2131*T1^10*T2^8 - 95*T1^11*T2^8 + 300*T1^12*T2^8 - 17*T1^3*T2^9 - 
      455*T1^4*T2^9 + 1479*T1^5*T2^9 - 1520*T1^6*T2^9 - 1440*T1^7*T2^9 + 
      5508*T1^8*T2^9 - 2750*T1^9*T2^9 - 393*T1^10*T2^9 + 1045*T1^11*T2^9 - 
      413*T1^12*T2^9 + 108*T1^4*T2^10 - 115*T1^5*T2^10 - 529*T1^6*T2^10 + 
      1815*T1^7*T2^10 - 2131*T1^8*T2^10 - 393*T1^9*T2^10 + 1583*T1^10*T2^10 - 
      1075*T1^11*T2^10 + 300*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      395*T1^7*T2^11 - 95*T1^8*T2^11 + 1045*T1^9*T2^11 - 1075*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      300*T1^8*T2^12 - 413*T1^9*T2^12 + 300*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 17] -> 
  {(1 - 10*T + 30*T^2 - 41*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3, 
   (-4 + 40*T1 - 120*T1^2 + 164*T1^3 - 120*T1^4 + 40*T1^5 - 4*T1^6 + 40*T2 - 
     370*T1*T2 + 900*T1^2*T2 - 740*T1^3*T2 - 30*T1^4*T2 + 500*T1^5*T2 - 
     260*T1^6*T2 + 30*T1^7*T2 - 120*T2^2 + 900*T1*T2^2 - 685*T1^2*T2^2 - 
     3374*T1^3*T2^2 + 6743*T1^4*T2^2 - 5234*T1^5*T2^2 + 1055*T1^6*T2^2 + 
     300*T1^7*T2^2 - 60*T1^8*T2^2 + 164*T2^3 - 740*T1*T2^3 - 3374*T1^2*T2^3 + 
     13991*T1^3*T2^3 - 14199*T1^4*T2^3 + 2181*T1^5*T2^3 + 7157*T1^6*T2^3 - 
     3764*T1^7*T2^3 + 190*T1^8*T2^3 + 41*T1^9*T2^3 - 120*T2^4 - 30*T1*T2^4 + 
     6743*T1^2*T2^4 - 14199*T1^3*T2^4 - 2429*T1^4*T2^4 + 24711*T1^5*T2^4 - 
     24369*T1^6*T2^4 + 4661*T1^7*T2^4 + 2143*T1^8*T2^4 - 410*T1^9*T2^4 + 
     40*T2^5 + 500*T1*T2^5 - 5234*T1^2*T2^5 + 2181*T1^3*T2^5 + 
     24711*T1^4*T2^5 - 36882*T1^5*T2^5 + 14998*T1^6*T2^5 + 11811*T1^7*T2^5 - 
     9239*T1^8*T2^5 + 1036*T1^9*T2^5 + 100*T1^10*T2^5 - 10*T1^11*T2^5 - 
     4*T2^6 - 260*T1*T2^6 + 1055*T1^2*T2^6 + 7157*T1^3*T2^6 - 
     24369*T1^4*T2^6 + 14998*T1^5*T2^6 + 16164*T1^6*T2^6 - 29262*T1^7*T2^6 + 
     11611*T1^8*T2^6 + 911*T1^9*T2^6 - 965*T1^10*T2^6 + 80*T1^11*T2^6 + 
     2*T1^12*T2^6 + 30*T1*T2^7 + 300*T1^2*T2^7 - 3764*T1^3*T2^7 + 
     4661*T1^4*T2^7 + 11811*T1^5*T2^7 - 29262*T1^6*T2^7 + 22618*T1^7*T2^7 - 
     1089*T1^8*T2^7 - 6759*T1^9*T2^7 + 2506*T1^10*T2^7 - 100*T1^11*T2^7 - 
     20*T1^12*T2^7 - 60*T1^2*T2^8 + 190*T1^3*T2^8 + 2143*T1^4*T2^8 - 
     9239*T1^5*T2^8 + 11611*T1^6*T2^8 - 1089*T1^7*T2^8 - 10329*T1^8*T2^8 + 
     9621*T1^9*T2^8 - 2457*T1^10*T2^8 - 190*T1^11*T2^8 + 60*T1^12*T2^8 + 
     41*T1^3*T2^9 - 410*T1^4*T2^9 + 1036*T1^5*T2^9 + 911*T1^6*T2^9 - 
     6759*T1^7*T2^9 + 9621*T1^8*T2^9 - 5923*T1^9*T2^9 + 646*T1^10*T2^9 + 
     520*T1^11*T2^9 - 82*T1^12*T2^9 + 100*T1^5*T2^10 - 965*T1^6*T2^10 + 
     2506*T1^7*T2^10 - 2457*T1^8*T2^10 + 646*T1^9*T2^10 + 775*T1^10*T2^10 - 
     500*T1^11*T2^10 + 60*T1^12*T2^10 - 10*T1^5*T2^11 + 80*T1^6*T2^11 - 
     100*T1^7*T2^11 - 190*T1^8*T2^11 + 520*T1^9*T2^11 - 500*T1^10*T2^11 + 
     190*T1^11*T2^11 - 20*T1^12*T2^11 + 2*T1^6*T2^12 - 20*T1^7*T2^12 + 
     60*T1^8*T2^12 - 82*T1^9*T2^12 + 60*T1^10*T2^12 - 20*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 18] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-111 + 479*T1 - 1069*T1^2 + 1363*T1^3 - 1069*T1^4 + 479*T1^5 - 111*T1^6 + 
     479*T2 - 1707*T1*T2 + 3056*T1^2*T2 - 2402*T1^3*T2 + 172*T1^4*T2 + 
     1418*T1^5*T2 - 1083*T1^6*T2 + 362*T1^7*T2 - 1069*T2^2 + 3056*T1*T2^2 - 
     4110*T1^2*T2^2 + 442*T1^3*T2^2 + 3640*T1^4*T2^2 - 3734*T1^5*T2^2 + 
     414*T1^6*T2^2 + 794*T1^7*T2^2 - 547*T1^8*T2^2 + 1363*T2^3 - 
     2402*T1*T2^3 + 442*T1^2*T2^3 + 7066*T1^3*T2^3 - 8619*T1^4*T2^3 + 
     2277*T1^5*T2^3 + 4552*T1^6*T2^3 - 3183*T1^7*T2^3 + 796*T1^8*T2^3 + 
     364*T1^9*T2^3 - 1069*T2^4 + 172*T1*T2^4 + 3640*T1^2*T2^4 - 
     8619*T1^3*T2^4 + 416*T1^4*T2^4 + 11482*T1^5*T2^4 - 13624*T1^6*T2^4 + 
     3517*T1^7*T2^4 + 1226*T1^8*T2^4 - 1466*T1^9*T2^4 - 25*T1^10*T2^4 + 
     479*T2^5 + 1418*T1*T2^5 - 3734*T1^2*T2^5 + 2277*T1^3*T2^5 + 
     11482*T1^4*T2^5 - 17873*T1^5*T2^5 + 8563*T1^6*T2^5 + 6001*T1^7*T2^5 - 
     6139*T1^8*T2^5 + 2095*T1^9*T2^5 + 560*T1^10*T2^5 - 106*T1^11*T2^5 - 
     111*T2^6 - 1083*T1*T2^6 + 414*T1^2*T2^6 + 4552*T1^3*T2^6 - 
     13624*T1^4*T2^6 + 8563*T1^5*T2^6 + 6708*T1^6*T2^6 - 14931*T1^7*T2^6 + 
     6662*T1^8*T2^6 + 292*T1^9*T2^6 - 1762*T1^10*T2^6 + 243*T1^11*T2^6 + 
     51*T1^12*T2^6 + 362*T1*T2^7 + 794*T1^2*T2^7 - 3183*T1^3*T2^7 + 
     3517*T1^4*T2^7 + 6001*T1^5*T2^7 - 14931*T1^6*T2^7 + 11505*T1^7*T2^7 + 
     520*T1^8*T2^7 - 4899*T1^9*T2^7 + 2646*T1^10*T2^7 - 64*T1^11*T2^7 - 
     223*T1^12*T2^7 - 547*T1^2*T2^8 + 796*T1^3*T2^8 + 1226*T1^4*T2^8 - 
     6139*T1^5*T2^8 + 6662*T1^6*T2^8 + 520*T1^7*T2^8 - 7378*T1^8*T2^8 + 
     5997*T1^9*T2^8 - 1188*T1^10*T2^8 - 842*T1^11*T2^8 + 497*T1^12*T2^8 + 
     364*T1^3*T2^9 - 1466*T1^4*T2^9 + 2095*T1^5*T2^9 + 292*T1^6*T2^9 - 
     4899*T1^7*T2^9 + 5997*T1^8*T2^9 - 2222*T1^9*T2^9 - 1530*T1^10*T2^9 + 
     1732*T1^11*T2^9 - 635*T1^12*T2^9 - 25*T1^4*T2^10 + 560*T1^5*T2^10 - 
     1762*T1^6*T2^10 + 2646*T1^7*T2^10 - 1188*T1^8*T2^10 - 1530*T1^9*T2^10 + 
     2762*T1^10*T2^10 - 1702*T1^11*T2^10 + 497*T1^12*T2^10 - 106*T1^5*T2^11 + 
     243*T1^6*T2^11 - 64*T1^7*T2^11 - 842*T1^8*T2^11 + 1732*T1^9*T2^11 - 
     1702*T1^10*T2^11 + 867*T1^11*T2^11 - 223*T1^12*T2^11 + 51*T1^6*T2^12 - 
     223*T1^7*T2^12 + 497*T1^8*T2^12 - 635*T1^9*T2^12 + 497*T1^10*T2^12 - 
     223*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 19] -> 
  {-((1 - 6*T + 18*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 90*T1^2 + 165*T1^3 - 195*T1^4 + 165*T1^5 - 
      90*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 396*T1^2*T2 - 
      558*T1^3*T2 + 378*T1^4*T2 - 54*T1^5*T2 - 252*T1^6*T2 + 252*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 90*T2^2 + 396*T1*T2^2 - 809*T1^2*T2^2 + 
      697*T1^3*T2^2 + 283*T1^4*T2^2 - 883*T1^5*T2^2 + 1039*T1^6*T2^2 - 
      275*T1^7*T2^2 - 197*T1^8*T2^2 + 180*T1^9*T2^2 - 54*T1^10*T2^2 + 
      165*T2^3 - 558*T1*T2^3 + 697*T1^2*T2^3 + 473*T1^3*T2^3 - 
      2424*T1^4*T2^3 + 1929*T1^5*T2^3 - 798*T1^6*T2^3 - 1371*T1^7*T2^3 + 
      1247*T1^8*T2^3 - 329*T1^9*T2^3 - 72*T1^10*T2^3 + 66*T1^11*T2^3 - 
      195*T2^4 + 378*T1*T2^4 + 283*T1^2*T2^4 - 2424*T1^3*T2^4 + 
      3424*T1^4*T2^4 + 729*T1^5*T2^4 - 3034*T1^6*T2^4 + 4833*T1^7*T2^4 - 
      1340*T1^8*T2^4 - 840*T1^9*T2^4 + 715*T1^10*T2^4 - 162*T1^11*T2^4 - 
      39*T1^12*T2^4 + 165*T2^5 - 54*T1*T2^5 - 883*T1^2*T2^5 + 
      1929*T1^3*T2^5 + 729*T1^4*T2^5 - 7863*T1^5*T2^5 + 6784*T1^6*T2^5 - 
      4142*T1^7*T2^5 - 3549*T1^8*T2^5 + 3906*T1^9*T2^5 - 1104*T1^10*T2^5 - 
      235*T1^11*T2^5 + 234*T1^12*T2^5 - 90*T2^6 - 252*T1*T2^6 + 
      1039*T1^2*T2^6 - 798*T1^3*T2^6 - 3034*T1^4*T2^6 + 6784*T1^5*T2^6 + 
      1524*T1^6*T2^6 - 6620*T1^7*T2^6 + 11460*T1^8*T2^6 - 4592*T1^9*T2^6 - 
      1090*T1^10*T2^6 + 1470*T1^11*T2^6 - 365*T1^12*T2^6 - 108*T1^13*T2^6 + 
      18*T1^14*T2^6 + 30*T2^7 + 252*T1*T2^7 - 275*T1^2*T2^7 - 
      1371*T1^3*T2^7 + 4833*T1^4*T2^7 - 4142*T1^5*T2^7 - 6620*T1^6*T2^7 + 
      8113*T1^7*T2^7 - 6335*T1^8*T2^7 - 3569*T1^9*T2^7 + 5884*T1^10*T2^7 - 
      2052*T1^11*T2^7 - 300*T1^12*T2^7 + 427*T1^13*T2^7 - 36*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 197*T1^2*T2^8 + 1247*T1^3*T2^8 - 
      1340*T1^4*T2^8 - 3549*T1^5*T2^8 + 11460*T1^6*T2^8 - 6335*T1^7*T2^8 - 
      900*T1^8*T2^8 + 8035*T1^9*T2^8 - 5082*T1^10*T2^8 - 1131*T1^11*T2^8 + 
      2104*T1^12*T2^8 - 727*T1^13*T2^8 - 53*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 180*T1^2*T2^9 - 329*T1^3*T2^9 - 
      840*T1^4*T2^9 + 3906*T1^5*T2^9 - 4592*T1^6*T2^9 - 3569*T1^7*T2^9 + 
      8035*T1^8*T2^9 - 6413*T1^9*T2^9 - 518*T1^10*T2^9 + 5434*T1^11*T2^9 - 
      2979*T1^12*T2^9 + 231*T1^13*T2^9 + 373*T1^14*T2^9 - 108*T1^15*T2^9 - 
      18*T1^16*T2^9 - 54*T1^2*T2^10 - 72*T1^3*T2^10 + 715*T1^4*T2^10 - 
      1104*T1^5*T2^10 - 1090*T1^6*T2^10 + 5884*T1^7*T2^10 - 5082*T1^8*T2^10 - 
      518*T1^9*T2^10 + 4854*T1^10*T2^10 - 5492*T1^11*T2^10 + 
      854*T1^12*T2^10 + 1164*T1^13*T2^10 - 689*T1^14*T2^10 + 72*T1^15*T2^10 + 
      54*T1^16*T2^10 + 66*T1^3*T2^11 - 162*T1^4*T2^11 - 235*T1^5*T2^11 + 
      1470*T1^6*T2^11 - 2052*T1^7*T2^11 - 1131*T1^8*T2^11 + 5434*T1^9*T2^11 - 
      5492*T1^10*T2^11 + 3183*T1^11*T2^11 + 1125*T1^12*T2^11 - 
      1563*T1^13*T2^11 + 413*T1^14*T2^11 + 126*T1^15*T2^11 - 99*T1^16*T2^11 - 
      39*T1^4*T2^12 + 234*T1^5*T2^12 - 365*T1^6*T2^12 - 300*T1^7*T2^12 + 
      2104*T1^8*T2^12 - 2979*T1^9*T2^12 + 854*T1^10*T2^12 + 
      1125*T1^11*T2^12 - 2660*T1^12*T2^12 + 1284*T1^13*T2^12 + 
      67*T1^14*T2^12 - 306*T1^15*T2^12 + 117*T1^16*T2^12 - 108*T1^6*T2^13 + 
      427*T1^7*T2^13 - 727*T1^8*T2^13 + 231*T1^9*T2^13 + 1164*T1^10*T2^13 - 
      1563*T1^11*T2^13 + 1284*T1^12*T2^13 + 47*T1^13*T2^13 - 
      599*T1^14*T2^13 + 378*T1^15*T2^13 - 99*T1^16*T2^13 + 18*T1^6*T2^14 - 
      36*T1^7*T2^14 - 53*T1^8*T2^14 + 373*T1^9*T2^14 - 689*T1^10*T2^14 + 
      413*T1^11*T2^14 + 67*T1^12*T2^14 - 599*T1^13*T2^14 + 559*T1^14*T2^14 - 
      252*T1^15*T2^14 + 54*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      108*T1^9*T2^15 + 72*T1^10*T2^15 + 126*T1^11*T2^15 - 306*T1^12*T2^15 + 
      378*T1^13*T2^15 - 252*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 54*T1^10*T2^16 - 99*T1^11*T2^16 + 
      117*T1^12*T2^16 - 99*T1^13*T2^16 + 54*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 20] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 596*T1 - 1142*T1^2 + 1416*T1^3 - 1142*T1^4 + 596*T1^5 - 
      138*T1^6 + 596*T2 - 2097*T1*T2 + 2870*T1^2*T2 - 2160*T1^3*T2 + 
      24*T1^4*T2 + 1388*T1^5*T2 - 1473*T1^6*T2 + 479*T1^7*T2 - 1142*T2^2 + 
      2870*T1*T2^2 - 1201*T1^2*T2^2 - 2511*T1^3*T2^2 + 6199*T1^4*T2^2 - 
      5211*T1^5*T2^2 + 2099*T1^6*T2^2 + 920*T1^7*T2^2 - 692*T1^8*T2^2 + 
      1416*T2^3 - 2160*T1*T2^3 - 2511*T1^2*T2^3 + 6314*T1^3*T2^3 - 
      6928*T1^4*T2^3 + 670*T1^5*T2^3 + 3450*T1^6*T2^3 - 4286*T1^7*T2^3 + 
      492*T1^8*T2^3 + 579*T1^9*T2^3 - 1142*T2^4 + 24*T1*T2^4 + 
      6199*T1^2*T2^4 - 6928*T1^3*T2^4 + 3319*T1^4*T2^4 + 4725*T1^5*T2^4 - 
      4589*T1^6*T2^4 + 1504*T1^7*T2^4 + 3221*T1^8*T2^4 - 1458*T1^9*T2^4 - 
      242*T1^10*T2^4 + 596*T2^5 + 1388*T1*T2^5 - 5211*T1^2*T2^5 + 
      670*T1^3*T2^5 + 4725*T1^4*T2^5 - 8277*T1^5*T2^5 + 1193*T1^6*T2^5 + 
      3550*T1^7*T2^5 - 5260*T1^8*T2^5 + 264*T1^9*T2^5 + 998*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 1473*T1*T2^6 + 2099*T1^2*T2^6 + 
      3450*T1^3*T2^6 - 4589*T1^4*T2^6 + 1193*T1^5*T2^6 + 7248*T1^6*T2^6 - 
      7137*T1^7*T2^6 + 3305*T1^8*T2^6 + 2426*T1^9*T2^6 - 1589*T1^10*T2^6 - 
      147*T1^11*T2^6 + 24*T1^12*T2^6 + 479*T1*T2^7 + 920*T1^2*T2^7 - 
      4286*T1^3*T2^7 + 1504*T1^4*T2^7 + 3550*T1^5*T2^7 - 7137*T1^6*T2^7 + 
      2333*T1^7*T2^7 + 2375*T1^8*T2^7 - 4426*T1^9*T2^7 + 1189*T1^10*T2^7 + 
      530*T1^11*T2^7 - 106*T1^12*T2^7 - 692*T1^2*T2^8 + 492*T1^3*T2^8 + 
      3221*T1^4*T2^8 - 5260*T1^5*T2^8 + 3305*T1^6*T2^8 + 2375*T1^7*T2^8 - 
      4603*T1^8*T2^8 + 3172*T1^9*T2^8 + 243*T1^10*T2^8 - 990*T1^11*T2^8 + 
      208*T1^12*T2^8 + 579*T1^3*T2^9 - 1458*T1^4*T2^9 + 264*T1^5*T2^9 + 
      2426*T1^6*T2^9 - 4426*T1^7*T2^9 + 3172*T1^8*T2^9 - 438*T1^9*T2^9 - 
      1511*T1^10*T2^9 + 1194*T1^11*T2^9 - 258*T1^12*T2^9 - 242*T1^4*T2^10 + 
      998*T1^5*T2^10 - 1589*T1^6*T2^10 + 1189*T1^7*T2^10 + 243*T1^8*T2^10 - 
      1511*T1^9*T2^10 + 1711*T1^10*T2^10 - 952*T1^11*T2^10 + 
      208*T1^12*T2^10 + 11*T1^5*T2^11 - 147*T1^6*T2^11 + 530*T1^7*T2^11 - 
      990*T1^8*T2^11 + 1194*T1^9*T2^11 - 952*T1^10*T2^11 + 477*T1^11*T2^11 - 
      106*T1^12*T2^11 + 24*T1^6*T2^12 - 106*T1^7*T2^12 + 208*T1^8*T2^12 - 
      258*T1^9*T2^12 + 208*T1^10*T2^12 - 106*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 21] -> 
  {-((5 - 19*T + 27*T^2 - 19*T^3 + 5*T^4)/T^2), 
   -((-415 + 1577*T1 - 2233*T1^2 + 1577*T1^3 - 415*T1^4 + 1577*T2 - 
      4899*T1*T2 + 4308*T1^2*T2 - 62*T1^3*T2 - 2619*T1^4*T2 + 1102*T1^5*T2 - 
      2233*T2^2 + 4308*T1*T2^2 + 3074*T1^2*T2^2 - 10838*T1^3*T2^2 + 
      9014*T1^4*T2^2 - 822*T1^5*T2^2 - 883*T1^6*T2^2 + 1577*T2^3 - 
      62*T1*T2^3 - 10838*T1^2*T2^3 + 13456*T1^3*T2^3 - 3302*T1^4*T2^3 - 
      6221*T1^5*T2^3 + 2788*T1^6*T2^3 + 152*T1^7*T2^3 - 415*T2^4 - 
      2619*T1*T2^4 + 9014*T1^2*T2^4 - 3302*T1^3*T2^4 - 8292*T1^4*T2^4 + 
      10682*T1^5*T2^4 - 2004*T1^6*T2^4 - 909*T1^7*T2^4 + 85*T1^8*T2^4 + 
      1102*T1*T2^5 - 822*T1^2*T2^5 - 6221*T1^3*T2^5 + 10682*T1^4*T2^5 - 
      6076*T1^5*T2^5 - 1604*T1^6*T2^5 + 2028*T1^7*T2^5 - 323*T1^8*T2^5 - 
      883*T1^2*T2^6 + 2788*T1^3*T2^6 - 2004*T1^4*T2^6 - 1604*T1^5*T2^6 + 
      3936*T1^6*T2^6 - 2342*T1^7*T2^6 + 467*T1^8*T2^6 + 152*T1^3*T2^7 - 
      909*T1^4*T2^7 + 2028*T1^5*T2^7 - 2342*T1^6*T2^7 + 1371*T1^7*T2^7 - 
      323*T1^8*T2^7 + 85*T1^4*T2^8 - 323*T1^5*T2^8 + 467*T1^6*T2^8 - 
      323*T1^7*T2^8 + 85*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 22] -> 
  {(1 - 5*T + 13*T^2 - 20*T^3 + 23*T^4 - 20*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 78*T1^2 + 120*T1^3 - 138*T1^4 + 120*T1^5 - 78*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 265*T1^2*T2 - 275*T1^3*T2 + 
     190*T1^4*T2 - 25*T1^5*T2 - 110*T1^6*T2 + 175*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 78*T2^2 + 265*T1*T2^2 - 440*T1^2*T2^2 + 190*T1^3*T2^2 + 
     45*T1^4*T2^2 - 294*T1^5*T2^2 + 305*T1^6*T2^2 - 200*T1^7*T2^2 - 
     128*T1^8*T2^2 + 135*T1^9*T2^2 - 52*T1^10*T2^2 + 120*T2^3 - 275*T1*T2^3 + 
     190*T1^2*T2^3 + 601*T1^3*T2^3 - 699*T1^4*T2^3 + 670*T1^5*T2^3 - 
     145*T1^6*T2^3 - 234*T1^7*T2^3 + 691*T1^8*T2^3 - 200*T1^9*T2^3 - 
     40*T1^10*T2^3 + 60*T1^11*T2^3 - 138*T2^4 + 190*T1*T2^4 + 45*T1^2*T2^4 - 
     699*T1^3*T2^4 - 425*T1^4*T2^4 + 1111*T1^5*T2^4 - 1947*T1^6*T2^4 + 
     1731*T1^7*T2^4 - 1401*T1^8*T2^4 - 139*T1^9*T2^4 + 241*T1^10*T2^4 - 
     70*T1^11*T2^4 - 46*T1^12*T2^4 + 120*T2^5 - 25*T1*T2^5 - 294*T1^2*T2^5 + 
     670*T1^3*T2^5 + 1111*T1^4*T2^5 - 1171*T1^5*T2^5 + 1322*T1^6*T2^5 - 
     273*T1^7*T2^5 - 151*T1^8*T2^5 + 1376*T1^9*T2^5 - 255*T1^10*T2^5 - 
     129*T1^11*T2^5 + 130*T1^12*T2^5 + 20*T1^13*T2^5 - 78*T2^6 - 
     110*T1*T2^6 + 305*T1^2*T2^6 - 145*T1^3*T2^6 - 1947*T1^4*T2^6 + 
     1322*T1^5*T2^6 - 1258*T1^6*T2^6 + 266*T1^7*T2^6 - 342*T1^8*T2^6 - 
     408*T1^9*T2^6 - 977*T1^10*T2^6 + 505*T1^11*T2^6 - 83*T1^12*T2^6 - 
     100*T1^13*T2^6 + 30*T2^7 + 175*T1*T2^7 - 200*T1^2*T2^7 - 234*T1^3*T2^7 + 
     1731*T1^4*T2^7 - 273*T1^5*T2^7 + 266*T1^6*T2^7 + 124*T1^7*T2^7 + 
     444*T1^8*T2^7 - 24*T1^9*T2^7 + 1052*T1^10*T2^7 + 46*T1^11*T2^7 - 
     319*T1^12*T2^7 + 190*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 
     6*T2^8 - 95*T1*T2^8 - 128*T1^2*T2^8 + 691*T1^3*T2^8 - 1401*T1^4*T2^8 - 
     151*T1^5*T2^8 - 342*T1^6*T2^8 + 444*T1^7*T2^8 - 708*T1^8*T2^8 + 
     64*T1^9*T2^8 - 366*T1^10*T2^8 - 781*T1^11*T2^8 + 571*T1^12*T2^8 - 
     99*T1^13*T2^8 - 98*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 
     25*T1*T2^9 + 135*T1^2*T2^9 - 200*T1^3*T2^9 - 139*T1^4*T2^9 + 
     1376*T1^5*T2^9 - 408*T1^6*T2^9 - 24*T1^7*T2^9 + 64*T1^8*T2^9 + 
     384*T1^9*T2^9 - 314*T1^10*T2^9 + 917*T1^11*T2^9 - 309*T1^12*T2^9 - 
     224*T1^13*T2^9 + 190*T1^14*T2^9 - 15*T1^15*T2^9 - 10*T1^16*T2^9 - 
     52*T1^2*T2^10 - 40*T1^3*T2^10 + 241*T1^4*T2^10 - 255*T1^5*T2^10 - 
     977*T1^6*T2^10 + 1052*T1^7*T2^10 - 366*T1^8*T2^10 - 314*T1^9*T2^10 + 
     550*T1^10*T2^10 - 678*T1^11*T2^10 - 7*T1^12*T2^10 + 395*T1^13*T2^10 - 
     147*T1^14*T2^10 - 30*T1^15*T2^10 + 26*T1^16*T2^10 + 60*T1^3*T2^11 - 
     70*T1^4*T2^11 - 129*T1^5*T2^11 + 505*T1^6*T2^11 + 46*T1^7*T2^11 - 
     781*T1^8*T2^11 + 917*T1^9*T2^11 - 678*T1^10*T2^11 + 239*T1^11*T2^11 + 
     311*T1^12*T2^11 - 420*T1^13*T2^11 + 36*T1^14*T2^11 + 85*T1^15*T2^11 - 
     40*T1^16*T2^11 - 46*T1^4*T2^12 + 130*T1^5*T2^12 - 83*T1^6*T2^12 - 
     319*T1^7*T2^12 + 571*T1^8*T2^12 - 309*T1^9*T2^12 - 7*T1^10*T2^12 + 
     311*T1^11*T2^12 - 405*T1^12*T2^12 + 241*T1^13*T2^12 + 113*T1^14*T2^12 - 
     130*T1^15*T2^12 + 46*T1^16*T2^12 + 20*T1^5*T2^13 - 100*T1^6*T2^13 + 
     190*T1^7*T2^13 - 99*T1^8*T2^13 - 224*T1^9*T2^13 + 395*T1^10*T2^13 - 
     420*T1^11*T2^13 + 241*T1^12*T2^13 - 9*T1^13*T2^13 - 200*T1^14*T2^13 + 
     135*T1^15*T2^13 - 40*T1^16*T2^13 + 25*T1^7*T2^14 - 98*T1^8*T2^14 + 
     190*T1^9*T2^14 - 147*T1^10*T2^14 + 36*T1^11*T2^14 + 113*T1^12*T2^14 - 
     200*T1^13*T2^14 + 214*T1^14*T2^14 - 105*T1^15*T2^14 + 26*T1^16*T2^14 - 
     5*T1^7*T2^15 + 15*T1^8*T2^15 - 15*T1^9*T2^15 - 30*T1^10*T2^15 + 
     85*T1^11*T2^15 - 130*T1^12*T2^15 + 135*T1^13*T2^15 - 105*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     26*T1^10*T2^16 - 40*T1^11*T2^16 + 46*T1^12*T2^16 - 40*T1^13*T2^16 + 
     26*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 23] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 396*T1^2 + 511*T1^3 - 396*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1355*T1^2*T2 - 1055*T1^3*T2 + 45*T1^4*T2 + 
     675*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 396*T2^2 + 1355*T1*T2^2 - 
     1831*T1^2*T2^2 - 349*T1^3*T2^2 + 2481*T1^4*T2^2 - 2365*T1^5*T2^2 + 
     281*T1^6*T2^2 + 395*T1^7*T2^2 - 204*T1^8*T2^2 + 511*T2^3 - 
     1055*T1*T2^3 - 349*T1^2*T2^3 + 5126*T1^3*T2^3 - 5556*T1^4*T2^3 + 
     1320*T1^5*T2^3 + 3104*T1^6*T2^3 - 1933*T1^7*T2^3 + 325*T1^8*T2^3 + 
     139*T1^9*T2^3 - 396*T2^4 + 45*T1*T2^4 + 2481*T1^2*T2^4 - 
     5556*T1^3*T2^4 - 646*T1^4*T2^4 + 8332*T1^5*T2^4 - 9442*T1^6*T2^4 + 
     2132*T1^7*T2^4 + 889*T1^8*T2^4 - 635*T1^9*T2^4 - 12*T1^10*T2^4 + 
     165*T2^5 + 675*T1*T2^5 - 2365*T1^2*T2^5 + 1320*T1^3*T2^5 + 
     8332*T1^4*T2^5 - 12030*T1^5*T2^5 + 5610*T1^6*T2^5 + 4396*T1^7*T2^5 - 
     3932*T1^8*T2^5 + 947*T1^9*T2^5 + 235*T1^10*T2^5 - 35*T1^11*T2^5 - 
     33*T2^6 - 460*T1*T2^6 + 281*T1^2*T2^6 + 3104*T1^3*T2^6 - 
     9442*T1^4*T2^6 + 5610*T1^5*T2^6 + 4512*T1^6*T2^6 - 10022*T1^7*T2^6 + 
     4078*T1^8*T2^6 + 440*T1^9*T2^6 - 839*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 395*T1^2*T2^7 - 1933*T1^3*T2^7 + 
     2132*T1^4*T2^7 + 4396*T1^5*T2^7 - 10022*T1^6*T2^7 + 7618*T1^7*T2^7 + 
     460*T1^8*T2^7 - 3120*T1^9*T2^7 + 1379*T1^10*T2^7 - 45*T1^11*T2^7 - 
     75*T1^12*T2^7 - 204*T1^2*T2^8 + 325*T1^3*T2^8 + 889*T1^4*T2^8 - 
     3932*T1^5*T2^8 + 4078*T1^6*T2^8 + 460*T1^7*T2^8 - 4718*T1^8*T2^8 + 
     3756*T1^9*T2^8 - 703*T1^10*T2^8 - 355*T1^11*T2^8 + 180*T1^12*T2^8 + 
     139*T1^3*T2^9 - 635*T1^4*T2^9 + 947*T1^5*T2^9 + 440*T1^6*T2^9 - 
     3120*T1^7*T2^9 + 3756*T1^8*T2^9 - 1582*T1^9*T2^9 - 637*T1^10*T2^9 + 
     745*T1^11*T2^9 - 233*T1^12*T2^9 - 12*T1^4*T2^10 + 235*T1^5*T2^10 - 
     839*T1^6*T2^10 + 1379*T1^7*T2^10 - 703*T1^8*T2^10 - 637*T1^9*T2^10 + 
     1273*T1^10*T2^10 - 725*T1^11*T2^10 + 180*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 - 45*T1^7*T2^11 - 355*T1^8*T2^11 + 745*T1^9*T2^11 - 
     725*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 180*T1^8*T2^12 - 233*T1^9*T2^12 + 180*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 24] -> 
  {(1 - 6*T + 18*T^2 - 33*T^3 + 41*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 132*T1^3 - 164*T1^4 + 132*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 468*T1^3*T2 + 
     390*T1^4*T2 - 54*T1^5*T2 - 162*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 685*T1^2*T2^2 + 653*T1^3*T2^2 - 
     50*T1^4*T2^2 - 845*T1^5*T2^2 + 778*T1^6*T2^2 - 319*T1^7*T2^2 - 
     73*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 132*T2^3 - 468*T1*T2^3 + 
     653*T1^2*T2^3 + 195*T1^3*T2^3 - 1552*T1^4*T2^3 + 2375*T1^5*T2^3 - 
     568*T1^6*T2^3 - 697*T1^7*T2^3 + 969*T1^8*T2^3 - 373*T1^9*T2^3 + 
     18*T1^10*T2^3 + 33*T1^11*T2^3 - 164*T2^4 + 390*T1*T2^4 - 50*T1^2*T2^4 - 
     1552*T1^3*T2^4 + 2346*T1^4*T2^4 - 1153*T1^5*T2^4 - 3322*T1^6*T2^4 + 
     3527*T1^7*T2^4 - 1786*T1^8*T2^4 - 232*T1^9*T2^4 + 526*T1^10*T2^4 - 
     198*T1^11*T2^4 + 132*T2^5 - 54*T1*T2^5 - 845*T1^2*T2^5 + 
     2375*T1^3*T2^5 - 1153*T1^4*T2^5 - 2439*T1^5*T2^5 + 7257*T1^6*T2^5 - 
     3021*T1^7*T2^5 - 1221*T1^8*T2^5 + 2918*T1^9*T2^5 - 1306*T1^10*T2^5 + 
     19*T1^11*T2^5 + 198*T1^12*T2^5 - 33*T1^13*T2^5 - 72*T2^6 - 162*T1*T2^6 + 
     778*T1^2*T2^6 - 568*T1^3*T2^6 - 3322*T1^4*T2^6 + 7257*T1^5*T2^6 - 
     7867*T1^6*T2^6 - 2347*T1^7*T2^6 + 6533*T1^8*T2^6 - 4479*T1^9*T2^6 + 
     62*T1^10*T2^6 + 1268*T1^11*T2^6 - 554*T1^12*T2^6 - 18*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 319*T1^2*T2^7 - 697*T1^3*T2^7 + 
     3527*T1^4*T2^7 - 3021*T1^5*T2^7 - 2347*T1^6*T2^7 + 12455*T1^7*T2^7 - 
     9451*T1^8*T2^7 + 506*T1^9*T2^7 + 4341*T1^10*T2^7 - 2980*T1^11*T2^7 + 
     308*T1^12*T2^7 + 383*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 73*T1^2*T2^8 + 969*T1^3*T2^8 - 1786*T1^4*T2^8 - 
     1221*T1^5*T2^8 + 6533*T1^6*T2^8 - 9451*T1^7*T2^8 - 36*T1^8*T2^8 + 
     9275*T1^9*T2^8 - 7417*T1^10*T2^8 + 1629*T1^11*T2^8 + 1674*T1^12*T2^8 - 
     1005*T1^13*T2^8 + 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 373*T1^3*T2^9 - 232*T1^4*T2^9 + 
     2918*T1^5*T2^9 - 4479*T1^6*T2^9 + 506*T1^7*T2^9 + 9275*T1^8*T2^9 - 
     12631*T1^9*T2^9 + 3359*T1^10*T2^9 + 2883*T1^11*T2^9 - 3589*T1^12*T2^9 + 
     773*T1^13*T2^9 + 329*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 18*T1^3*T2^10 + 526*T1^4*T2^10 - 1306*T1^5*T2^10 + 
     62*T1^6*T2^10 + 4341*T1^7*T2^10 - 7417*T1^8*T2^10 + 3359*T1^9*T2^10 + 
     6983*T1^10*T2^10 - 7395*T1^11*T2^10 + 3446*T1^12*T2^10 + 
     530*T1^13*T2^10 - 806*T1^14*T2^10 + 162*T1^15*T2^10 + 72*T1^16*T2^10 + 
     33*T1^3*T2^11 - 198*T1^4*T2^11 + 19*T1^5*T2^11 + 1268*T1^6*T2^11 - 
     2980*T1^7*T2^11 + 1629*T1^8*T2^11 + 2883*T1^9*T2^11 - 7395*T1^10*T2^11 + 
     2847*T1^11*T2^11 + 1091*T1^12*T2^11 - 2413*T1^13*T2^11 + 
     883*T1^14*T2^11 + 54*T1^15*T2^11 - 132*T1^16*T2^11 + 198*T1^5*T2^12 - 
     554*T1^6*T2^12 + 308*T1^7*T2^12 + 1674*T1^8*T2^12 - 3589*T1^9*T2^12 + 
     3446*T1^10*T2^12 + 1091*T1^11*T2^12 - 2458*T1^12*T2^12 + 
     1628*T1^13*T2^12 + 22*T1^14*T2^12 - 390*T1^15*T2^12 + 164*T1^16*T2^12 - 
     33*T1^5*T2^13 - 18*T1^6*T2^13 + 383*T1^7*T2^13 - 1005*T1^8*T2^13 + 
     773*T1^9*T2^13 + 530*T1^10*T2^13 - 2413*T1^11*T2^13 + 1628*T1^12*T2^13 - 
     231*T1^13*T2^13 - 643*T1^14*T2^13 + 468*T1^15*T2^13 - 132*T1^16*T2^13 + 
     36*T1^6*T2^14 - 108*T1^7*T2^14 + 71*T1^8*T2^14 + 329*T1^9*T2^14 - 
     806*T1^10*T2^14 + 883*T1^11*T2^14 + 22*T1^12*T2^14 - 643*T1^13*T2^14 + 
     683*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 180*T1^9*T2^15 + 162*T1^10*T2^15 + 54*T1^11*T2^15 - 
     390*T1^12*T2^15 + 468*T1^13*T2^15 - 324*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
     132*T1^11*T2^16 + 164*T1^12*T2^16 - 132*T1^13*T2^16 + 72*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 25] -> 
  {-((1 - 6*T + 18*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 90*T1^2 + 165*T1^3 - 195*T1^4 + 165*T1^5 - 
      90*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 396*T1^2*T2 - 
      558*T1^3*T2 + 378*T1^4*T2 - 54*T1^5*T2 - 252*T1^6*T2 + 252*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 90*T2^2 + 396*T1*T2^2 - 809*T1^2*T2^2 + 
      697*T1^3*T2^2 + 284*T1^4*T2^2 - 885*T1^5*T2^2 + 1040*T1^6*T2^2 - 
      275*T1^7*T2^2 - 197*T1^8*T2^2 + 180*T1^9*T2^2 - 54*T1^10*T2^2 + 
      165*T2^3 - 558*T1*T2^3 + 697*T1^2*T2^3 + 471*T1^3*T2^3 - 
      2422*T1^4*T2^3 + 1929*T1^5*T2^3 - 798*T1^6*T2^3 - 1369*T1^7*T2^3 + 
      1245*T1^8*T2^3 - 329*T1^9*T2^3 - 72*T1^10*T2^3 + 66*T1^11*T2^3 - 
      195*T2^4 + 378*T1*T2^4 + 284*T1^2*T2^4 - 2422*T1^3*T2^4 + 
      3422*T1^4*T2^4 + 729*T1^5*T2^4 - 3036*T1^6*T2^4 + 4833*T1^7*T2^4 - 
      1342*T1^8*T2^4 - 838*T1^9*T2^4 + 716*T1^10*T2^4 - 162*T1^11*T2^4 - 
      39*T1^12*T2^4 + 165*T2^5 - 54*T1*T2^5 - 885*T1^2*T2^5 + 
      1929*T1^3*T2^5 + 729*T1^4*T2^5 - 7863*T1^5*T2^5 + 6786*T1^6*T2^5 - 
      4140*T1^7*T2^5 - 3549*T1^8*T2^5 + 3906*T1^9*T2^5 - 1104*T1^10*T2^5 - 
      237*T1^11*T2^5 + 234*T1^12*T2^5 - 90*T2^6 - 252*T1*T2^6 + 
      1040*T1^2*T2^6 - 798*T1^3*T2^6 - 3036*T1^4*T2^6 + 6786*T1^5*T2^6 + 
      1524*T1^6*T2^6 - 6622*T1^7*T2^6 + 11460*T1^8*T2^6 - 4590*T1^9*T2^6 - 
      1092*T1^10*T2^6 + 1470*T1^11*T2^6 - 364*T1^12*T2^6 - 108*T1^13*T2^6 + 
      18*T1^14*T2^6 + 30*T2^7 + 252*T1*T2^7 - 275*T1^2*T2^7 - 
      1369*T1^3*T2^7 + 4833*T1^4*T2^7 - 4140*T1^5*T2^7 - 6622*T1^6*T2^7 + 
      8111*T1^7*T2^7 - 6337*T1^8*T2^7 - 3571*T1^9*T2^7 + 5886*T1^10*T2^7 - 
      2052*T1^11*T2^7 - 298*T1^12*T2^7 + 427*T1^13*T2^7 - 36*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 197*T1^2*T2^8 + 1245*T1^3*T2^8 - 
      1342*T1^4*T2^8 - 3549*T1^5*T2^8 + 11460*T1^6*T2^8 - 6337*T1^7*T2^8 - 
      888*T1^8*T2^8 + 8033*T1^9*T2^8 - 5082*T1^10*T2^8 - 1131*T1^11*T2^8 + 
      2102*T1^12*T2^8 - 729*T1^13*T2^8 - 53*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 180*T1^2*T2^9 - 329*T1^3*T2^9 - 
      838*T1^4*T2^9 + 3906*T1^5*T2^9 - 4590*T1^6*T2^9 - 3571*T1^7*T2^9 + 
      8033*T1^8*T2^9 - 6415*T1^9*T2^9 - 520*T1^10*T2^9 + 5436*T1^11*T2^9 - 
      2979*T1^12*T2^9 + 233*T1^13*T2^9 + 373*T1^14*T2^9 - 108*T1^15*T2^9 - 
      18*T1^16*T2^9 - 54*T1^2*T2^10 - 72*T1^3*T2^10 + 716*T1^4*T2^10 - 
      1104*T1^5*T2^10 - 1092*T1^6*T2^10 + 5886*T1^7*T2^10 - 5082*T1^8*T2^10 - 
      520*T1^9*T2^10 + 4854*T1^10*T2^10 - 5490*T1^11*T2^10 + 
      852*T1^12*T2^10 + 1164*T1^13*T2^10 - 688*T1^14*T2^10 + 72*T1^15*T2^10 + 
      54*T1^16*T2^10 + 66*T1^3*T2^11 - 162*T1^4*T2^11 - 237*T1^5*T2^11 + 
      1470*T1^6*T2^11 - 2052*T1^7*T2^11 - 1131*T1^8*T2^11 + 5436*T1^9*T2^11 - 
      5490*T1^10*T2^11 + 3183*T1^11*T2^11 + 1125*T1^12*T2^11 - 
      1563*T1^13*T2^11 + 411*T1^14*T2^11 + 126*T1^15*T2^11 - 99*T1^16*T2^11 - 
      39*T1^4*T2^12 + 234*T1^5*T2^12 - 364*T1^6*T2^12 - 298*T1^7*T2^12 + 
      2102*T1^8*T2^12 - 2979*T1^9*T2^12 + 852*T1^10*T2^12 + 
      1125*T1^11*T2^12 - 2662*T1^12*T2^12 + 1286*T1^13*T2^12 + 
      68*T1^14*T2^12 - 306*T1^15*T2^12 + 117*T1^16*T2^12 - 108*T1^6*T2^13 + 
      427*T1^7*T2^13 - 729*T1^8*T2^13 + 233*T1^9*T2^13 + 1164*T1^10*T2^13 - 
      1563*T1^11*T2^13 + 1286*T1^12*T2^13 + 45*T1^13*T2^13 - 
      599*T1^14*T2^13 + 378*T1^15*T2^13 - 99*T1^16*T2^13 + 18*T1^6*T2^14 - 
      36*T1^7*T2^14 - 53*T1^8*T2^14 + 373*T1^9*T2^14 - 688*T1^10*T2^14 + 
      411*T1^11*T2^14 + 68*T1^12*T2^14 - 599*T1^13*T2^14 + 559*T1^14*T2^14 - 
      252*T1^15*T2^14 + 54*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      108*T1^9*T2^15 + 72*T1^10*T2^15 + 126*T1^11*T2^15 - 306*T1^12*T2^15 + 
      378*T1^13*T2^15 - 252*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 54*T1^10*T2^16 - 99*T1^11*T2^16 + 
      117*T1^12*T2^16 - 99*T1^13*T2^16 + 54*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 26] -> 
  {(1 - 6*T + 18*T^2 - 33*T^3 + 41*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 132*T1^3 - 164*T1^4 + 132*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 468*T1^3*T2 + 
     390*T1^4*T2 - 54*T1^5*T2 - 162*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 685*T1^2*T2^2 + 653*T1^3*T2^2 - 
     49*T1^4*T2^2 - 847*T1^5*T2^2 + 779*T1^6*T2^2 - 319*T1^7*T2^2 - 
     73*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 132*T2^3 - 468*T1*T2^3 + 
     653*T1^2*T2^3 + 193*T1^3*T2^3 - 1550*T1^4*T2^3 + 2375*T1^5*T2^3 - 
     568*T1^6*T2^3 - 695*T1^7*T2^3 + 967*T1^8*T2^3 - 373*T1^9*T2^3 + 
     18*T1^10*T2^3 + 33*T1^11*T2^3 - 164*T2^4 + 390*T1*T2^4 - 49*T1^2*T2^4 - 
     1550*T1^3*T2^4 + 2344*T1^4*T2^4 - 1153*T1^5*T2^4 - 3324*T1^6*T2^4 + 
     3527*T1^7*T2^4 - 1788*T1^8*T2^4 - 230*T1^9*T2^4 + 527*T1^10*T2^4 - 
     198*T1^11*T2^4 + 132*T2^5 - 54*T1*T2^5 - 847*T1^2*T2^5 + 
     2375*T1^3*T2^5 - 1153*T1^4*T2^5 - 2439*T1^5*T2^5 + 7259*T1^6*T2^5 - 
     3019*T1^7*T2^5 - 1221*T1^8*T2^5 + 2918*T1^9*T2^5 - 1306*T1^10*T2^5 + 
     17*T1^11*T2^5 + 198*T1^12*T2^5 - 33*T1^13*T2^5 - 72*T2^6 - 162*T1*T2^6 + 
     779*T1^2*T2^6 - 568*T1^3*T2^6 - 3324*T1^4*T2^6 + 7259*T1^5*T2^6 - 
     7867*T1^6*T2^6 - 2349*T1^7*T2^6 + 6533*T1^8*T2^6 - 4477*T1^9*T2^6 + 
     60*T1^10*T2^6 + 1268*T1^11*T2^6 - 553*T1^12*T2^6 - 18*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 319*T1^2*T2^7 - 695*T1^3*T2^7 + 
     3527*T1^4*T2^7 - 3019*T1^5*T2^7 - 2349*T1^6*T2^7 + 12453*T1^7*T2^7 - 
     9453*T1^8*T2^7 + 504*T1^9*T2^7 + 4343*T1^10*T2^7 - 2980*T1^11*T2^7 + 
     310*T1^12*T2^7 + 383*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 73*T1^2*T2^8 + 967*T1^3*T2^8 - 1788*T1^4*T2^8 - 
     1221*T1^5*T2^8 + 6533*T1^6*T2^8 - 9453*T1^7*T2^8 - 24*T1^8*T2^8 + 
     9273*T1^9*T2^8 - 7417*T1^10*T2^8 + 1629*T1^11*T2^8 + 1672*T1^12*T2^8 - 
     1007*T1^13*T2^8 + 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 373*T1^3*T2^9 - 230*T1^4*T2^9 + 
     2918*T1^5*T2^9 - 4477*T1^6*T2^9 + 504*T1^7*T2^9 + 9273*T1^8*T2^9 - 
     12633*T1^9*T2^9 + 3357*T1^10*T2^9 + 2885*T1^11*T2^9 - 3589*T1^12*T2^9 + 
     775*T1^13*T2^9 + 329*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 18*T1^3*T2^10 + 527*T1^4*T2^10 - 1306*T1^5*T2^10 + 
     60*T1^6*T2^10 + 4343*T1^7*T2^10 - 7417*T1^8*T2^10 + 3357*T1^9*T2^10 + 
     6983*T1^10*T2^10 - 7393*T1^11*T2^10 + 3444*T1^12*T2^10 + 
     530*T1^13*T2^10 - 805*T1^14*T2^10 + 162*T1^15*T2^10 + 72*T1^16*T2^10 + 
     33*T1^3*T2^11 - 198*T1^4*T2^11 + 17*T1^5*T2^11 + 1268*T1^6*T2^11 - 
     2980*T1^7*T2^11 + 1629*T1^8*T2^11 + 2885*T1^9*T2^11 - 7393*T1^10*T2^11 + 
     2847*T1^11*T2^11 + 1091*T1^12*T2^11 - 2413*T1^13*T2^11 + 
     881*T1^14*T2^11 + 54*T1^15*T2^11 - 132*T1^16*T2^11 + 198*T1^5*T2^12 - 
     553*T1^6*T2^12 + 310*T1^7*T2^12 + 1672*T1^8*T2^12 - 3589*T1^9*T2^12 + 
     3444*T1^10*T2^12 + 1091*T1^11*T2^12 - 2460*T1^12*T2^12 + 
     1630*T1^13*T2^12 + 23*T1^14*T2^12 - 390*T1^15*T2^12 + 164*T1^16*T2^12 - 
     33*T1^5*T2^13 - 18*T1^6*T2^13 + 383*T1^7*T2^13 - 1007*T1^8*T2^13 + 
     775*T1^9*T2^13 + 530*T1^10*T2^13 - 2413*T1^11*T2^13 + 1630*T1^12*T2^13 - 
     233*T1^13*T2^13 - 643*T1^14*T2^13 + 468*T1^15*T2^13 - 132*T1^16*T2^13 + 
     36*T1^6*T2^14 - 108*T1^7*T2^14 + 71*T1^8*T2^14 + 329*T1^9*T2^14 - 
     805*T1^10*T2^14 + 881*T1^11*T2^14 + 23*T1^12*T2^14 - 643*T1^13*T2^14 + 
     683*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 180*T1^9*T2^15 + 162*T1^10*T2^15 + 54*T1^11*T2^15 - 
     390*T1^12*T2^15 + 468*T1^13*T2^15 - 324*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
     132*T1^11*T2^16 + 164*T1^12*T2^16 - 132*T1^13*T2^16 + 72*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 27] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 98*T1 - 258*T1^2 + 343*T1^3 - 258*T1^4 + 98*T1^5 - 15*T1^6 + 
     98*T2 - 594*T1*T2 + 1382*T1^2*T2 - 1438*T1^3*T2 + 616*T1^4*T2 + 
     160*T1^5*T2 - 204*T1^6*T2 + 46*T1^7*T2 - 258*T2^2 + 1382*T1*T2^2 - 
     2443*T1^2*T2^2 + 601*T1^3*T2^2 + 2695*T1^4*T2^2 - 3751*T1^5*T2^2 + 
     1909*T1^6*T2^2 - 386*T1^7*T2^2 + 14*T1^8*T2^2 + 343*T2^3 - 
     1438*T1*T2^3 + 601*T1^2*T2^3 + 6206*T1^3*T2^3 - 12397*T1^4*T2^3 + 
     9831*T1^5*T2^3 - 1878*T1^6*T2^3 - 1949*T1^7*T2^3 + 1188*T1^8*T2^3 - 
     197*T1^9*T2^3 - 258*T2^4 + 616*T1*T2^4 + 2695*T1^2*T2^4 - 
     12397*T1^3*T2^4 + 15254*T1^4*T2^4 - 1212*T1^5*T2^4 - 13482*T1^6*T2^4 + 
     12803*T1^7*T2^4 - 3267*T1^8*T2^4 - 580*T1^9*T2^4 + 286*T1^10*T2^4 + 
     98*T2^5 + 160*T1*T2^5 - 3751*T1^2*T2^5 + 9831*T1^3*T2^5 - 
     1212*T1^4*T2^5 - 25826*T1^5*T2^5 + 34672*T1^6*T2^5 - 15220*T1^7*T2^5 - 
     6453*T1^8*T2^5 + 6007*T1^9*T2^5 - 802*T1^10*T2^5 - 162*T1^11*T2^5 - 
     15*T2^6 - 204*T1*T2^6 + 1909*T1^2*T2^6 - 1878*T1^3*T2^6 - 
     13482*T1^4*T2^6 + 34672*T1^5*T2^6 - 17892*T1^6*T2^6 - 17992*T1^7*T2^6 + 
     30898*T1^8*T2^6 - 10030*T1^9*T2^6 - 1439*T1^10*T2^6 + 836*T1^11*T2^6 + 
     33*T1^12*T2^6 + 46*T1*T2^7 - 386*T1^2*T2^7 - 1949*T1^3*T2^7 + 
     12803*T1^4*T2^7 - 15220*T1^5*T2^7 - 17992*T1^6*T2^7 + 42506*T1^7*T2^7 - 
     29228*T1^8*T2^7 - 3481*T1^9*T2^7 + 7809*T1^10*T2^7 - 1348*T1^11*T2^7 - 
     214*T1^12*T2^7 + 14*T1^2*T2^8 + 1188*T1^3*T2^8 - 3267*T1^4*T2^8 - 
     6453*T1^5*T2^8 + 30898*T1^6*T2^8 - 29228*T1^7*T2^8 + 2162*T1^8*T2^8 + 
     18747*T1^9*T2^8 - 9229*T1^10*T2^8 - 8*T1^11*T2^8 + 558*T1^12*T2^8 - 
     197*T1^3*T2^9 - 580*T1^4*T2^9 + 6007*T1^5*T2^9 - 10030*T1^6*T2^9 - 
     3481*T1^7*T2^9 + 18747*T1^8*T2^9 - 18114*T1^9*T2^9 + 3457*T1^10*T2^9 + 
     2046*T1^11*T2^9 - 737*T1^12*T2^9 + 286*T1^4*T2^10 - 802*T1^5*T2^10 - 
     1439*T1^6*T2^10 + 7809*T1^7*T2^10 - 9229*T1^8*T2^10 + 3457*T1^9*T2^10 + 
     2913*T1^10*T2^10 - 2570*T1^11*T2^10 + 558*T1^12*T2^10 - 162*T1^5*T2^11 + 
     836*T1^6*T2^11 - 1348*T1^7*T2^11 - 8*T1^8*T2^11 + 2046*T1^9*T2^11 - 
     2570*T1^10*T2^11 + 1226*T1^11*T2^11 - 214*T1^12*T2^11 + 33*T1^6*T2^12 - 
     214*T1^7*T2^12 + 558*T1^8*T2^12 - 737*T1^9*T2^12 + 558*T1^10*T2^12 - 
     214*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 28] -> {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   (-4 + 24*T1 - 60*T1^2 + 96*T1^3 - 116*T1^4 + 96*T1^5 - 60*T1^6 + 24*T1^7 - 
     4*T1^8 + 24*T2 - 126*T1*T2 + 252*T1^2*T2 - 306*T1^3*T2 + 264*T1^4*T2 - 
     54*T1^5*T2 - 72*T1^6*T2 + 126*T1^7*T2 - 84*T1^8*T2 + 18*T1^9*T2 - 
     60*T2^2 + 252*T1*T2^2 - 282*T1^2*T2^2 - T1^3*T2^2 + 405*T1^4*T2^2 - 
     976*T1^5*T2^2 + 825*T1^6*T2^2 - 541*T1^7*T2^2 + 138*T1^8*T2^2 + 
     72*T1^9*T2^2 - 30*T1^10*T2^2 + 96*T2^3 - 306*T1*T2^3 - T1^2*T2^3 + 
     700*T1^3*T2^3 - 1160*T1^4*T2^3 + 1576*T1^5*T2^3 - 386*T1^6*T2^3 - 
     170*T1^7*T2^3 + 610*T1^8*T2^3 - 451*T1^9*T2^3 + 36*T1^10*T2^3 + 
     24*T1^11*T2^3 - 116*T2^4 + 264*T1*T2^4 + 405*T1^2*T2^4 - 
     1160*T1^3*T2^4 + 1118*T1^4*T2^4 - 1003*T1^5*T2^4 - 1112*T1^6*T2^4 + 
     941*T1^7*T2^4 - 818*T1^8*T2^4 + 88*T1^9*T2^4 + 417*T1^10*T2^4 - 
     144*T1^11*T2^4 + 96*T2^5 - 54*T1*T2^5 - 976*T1^2*T2^5 + 1576*T1^3*T2^5 - 
     1003*T1^4*T2^5 + 662*T1^5*T2^5 + 1409*T1^6*T2^5 + 167*T1^7*T2^5 - 
     568*T1^8*T2^5 + 1007*T1^9*T2^5 - 854*T1^10*T2^5 - 4*T1^11*T2^5 + 
     144*T1^12*T2^5 - 24*T1^13*T2^5 - 60*T2^6 - 72*T1*T2^6 + 825*T1^2*T2^6 - 
     386*T1^3*T2^6 - 1112*T1^4*T2^6 + 1409*T1^5*T2^6 - 2372*T1^6*T2^6 - 
     488*T1^7*T2^6 + 700*T1^8*T2^6 - 283*T1^9*T2^6 - 146*T1^10*T2^6 + 
     874*T1^11*T2^6 - 411*T1^12*T2^6 - 36*T1^13*T2^6 + 30*T1^14*T2^6 + 
     24*T2^7 + 126*T1*T2^7 - 541*T1^2*T2^7 - 170*T1^3*T2^7 + 941*T1^4*T2^7 + 
     167*T1^5*T2^7 - 488*T1^6*T2^7 + 2610*T1^7*T2^7 - 1314*T1^8*T2^7 - 
     524*T1^9*T2^7 + 509*T1^10*T2^7 - 805*T1^11*T2^7 - 128*T1^12*T2^7 + 
     449*T1^13*T2^7 - 72*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 + 
     138*T1^2*T2^8 + 610*T1^3*T2^8 - 818*T1^4*T2^8 - 568*T1^5*T2^8 + 
     700*T1^6*T2^8 - 1314*T1^7*T2^8 - 108*T1^8*T2^8 + 1590*T1^9*T2^8 + 
     100*T1^10*T2^8 + 32*T1^11*T2^8 + 818*T1^12*T2^8 - 590*T1^13*T2^8 - 
     138*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     72*T1^2*T2^9 - 451*T1^3*T2^9 + 88*T1^4*T2^9 + 1007*T1^5*T2^9 - 
     283*T1^6*T2^9 - 524*T1^7*T2^9 + 1590*T1^8*T2^9 - 2334*T1^9*T2^9 - 
     560*T1^10*T2^9 + 59*T1^11*T2^9 - 739*T1^12*T2^9 + 130*T1^13*T2^9 + 
     539*T1^14*T2^9 - 126*T1^15*T2^9 - 24*T1^16*T2^9 - 30*T1^2*T2^10 + 
     36*T1^3*T2^10 + 417*T1^4*T2^10 - 854*T1^5*T2^10 - 146*T1^6*T2^10 + 
     509*T1^7*T2^10 + 100*T1^8*T2^10 - 560*T1^9*T2^10 + 3172*T1^10*T2^10 - 
     1183*T1^11*T2^10 + 820*T1^12*T2^10 + 406*T1^13*T2^10 - 819*T1^14*T2^10 + 
     72*T1^15*T2^10 + 60*T1^16*T2^10 + 24*T1^3*T2^11 - 144*T1^4*T2^11 - 
     4*T1^5*T2^11 + 874*T1^6*T2^11 - 805*T1^7*T2^11 + 32*T1^8*T2^11 + 
     59*T1^9*T2^11 - 1183*T1^10*T2^11 - 1198*T1^11*T2^11 + 1205*T1^12*T2^11 - 
     1556*T1^13*T2^11 + 968*T1^14*T2^11 + 54*T1^15*T2^11 - 96*T1^16*T2^11 + 
     144*T1^5*T2^12 - 411*T1^6*T2^12 - 128*T1^7*T2^12 + 818*T1^8*T2^12 - 
     739*T1^9*T2^12 + 820*T1^10*T2^12 + 1205*T1^11*T2^12 - 1118*T1^12*T2^12 + 
     1120*T1^13*T2^12 - 399*T1^14*T2^12 - 264*T1^15*T2^12 + 116*T1^16*T2^12 - 
     24*T1^5*T2^13 - 36*T1^6*T2^13 + 449*T1^7*T2^13 - 590*T1^8*T2^13 + 
     130*T1^9*T2^13 + 406*T1^10*T2^13 - 1556*T1^11*T2^13 + 1120*T1^12*T2^13 - 
     680*T1^13*T2^13 - T1^14*T2^13 + 306*T1^15*T2^13 - 96*T1^16*T2^13 + 
     30*T1^6*T2^14 - 72*T1^7*T2^14 - 138*T1^8*T2^14 + 539*T1^9*T2^14 - 
     819*T1^10*T2^14 + 968*T1^11*T2^14 - 399*T1^12*T2^14 - T1^13*T2^14 + 
     282*T1^14*T2^14 - 252*T1^15*T2^14 + 60*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 126*T1^9*T2^15 + 72*T1^10*T2^15 + 54*T1^11*T2^15 - 
     264*T1^12*T2^15 + 306*T1^13*T2^15 - 252*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 60*T1^10*T2^16 - 
     96*T1^11*T2^16 + 116*T1^12*T2^16 - 96*T1^13*T2^16 + 60*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 29] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   (-17 + 102*T1 - 230*T1^2 + 281*T1^3 - 230*T1^4 + 102*T1^5 - 17*T1^6 + 
     102*T2 - 558*T1*T2 + 1056*T1^2*T2 - 954*T1^3*T2 + 486*T1^4*T2 + 
     120*T1^5*T2 - 222*T1^6*T2 + 54*T1^7*T2 - 230*T2^2 + 1056*T1*T2^2 - 
     1174*T1^2*T2^2 - 525*T1^3*T2^2 + 2068*T1^4*T2^2 - 2793*T1^5*T2^2 + 
     1526*T1^6*T2^2 - 240*T1^7*T2^2 - 14*T1^8*T2^2 + 281*T2^3 - 954*T1*T2^3 - 
     525*T1^2*T2^3 + 4644*T1^3*T2^3 - 6371*T1^4*T2^3 + 5347*T1^5*T2^3 - 
     1062*T1^6*T2^3 - 1335*T1^7*T2^3 + 774*T1^8*T2^3 - 115*T1^9*T2^3 - 
     230*T2^4 + 486*T1*T2^4 + 2068*T1^2*T2^4 - 6371*T1^3*T2^4 + 
     5147*T1^4*T2^4 - 171*T1^5*T2^4 - 6085*T1^6*T2^4 + 6301*T1^7*T2^4 - 
     1604*T1^8*T2^4 - 522*T1^9*T2^4 + 202*T1^10*T2^4 + 102*T2^5 + 
     120*T1*T2^5 - 2793*T1^2*T2^5 + 5347*T1^3*T2^5 - 171*T1^4*T2^5 - 
     7205*T1^5*T2^5 + 10027*T1^6*T2^5 - 4140*T1^7*T2^5 - 4463*T1^8*T2^5 + 
     3849*T1^9*T2^5 - 384*T1^10*T2^5 - 138*T1^11*T2^5 - 17*T2^6 - 
     222*T1*T2^6 + 1526*T1^2*T2^6 - 1062*T1^3*T2^6 - 6085*T1^4*T2^6 + 
     10027*T1^5*T2^6 - 3588*T1^6*T2^6 - 6479*T1^7*T2^6 + 12005*T1^8*T2^6 - 
     3798*T1^9*T2^6 - 1822*T1^10*T2^6 + 642*T1^11*T2^6 + 31*T1^12*T2^6 + 
     54*T1*T2^7 - 240*T1^2*T2^7 - 1335*T1^3*T2^7 + 6301*T1^4*T2^7 - 
     4140*T1^5*T2^7 - 6479*T1^6*T2^7 + 10753*T1^7*T2^7 - 8109*T1^8*T2^7 - 
     3509*T1^9*T2^7 + 5307*T1^10*T2^7 - 744*T1^11*T2^7 - 186*T1^12*T2^7 - 
     14*T1^2*T2^8 + 774*T1^3*T2^8 - 1604*T1^4*T2^8 - 4463*T1^5*T2^8 + 
     12005*T1^6*T2^8 - 8109*T1^7*T2^8 + 773*T1^8*T2^8 + 8209*T1^9*T2^8 - 
     5276*T1^10*T2^8 - 234*T1^11*T2^8 + 418*T1^12*T2^8 - 115*T1^3*T2^9 - 
     522*T1^4*T2^9 + 3849*T1^5*T2^9 - 3798*T1^6*T2^9 - 3509*T1^7*T2^9 + 
     8209*T1^8*T2^9 - 9504*T1^9*T2^9 + 3039*T1^10*T2^9 + 1206*T1^11*T2^9 - 
     511*T1^12*T2^9 + 202*T1^4*T2^10 - 384*T1^5*T2^10 - 1822*T1^6*T2^10 + 
     5307*T1^7*T2^10 - 5276*T1^8*T2^10 + 3039*T1^9*T2^10 + 878*T1^10*T2^10 - 
     1680*T1^11*T2^10 + 418*T1^12*T2^10 - 138*T1^5*T2^11 + 642*T1^6*T2^11 - 
     744*T1^7*T2^11 - 234*T1^8*T2^11 + 1206*T1^9*T2^11 - 1680*T1^10*T2^11 + 
     978*T1^11*T2^11 - 186*T1^12*T2^11 + 31*T1^6*T2^12 - 186*T1^7*T2^12 + 
     418*T1^8*T2^12 - 511*T1^9*T2^12 + 418*T1^10*T2^12 - 186*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 30] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 161*T1 - 432*T1^2 + 605*T1^3 - 432*T1^4 + 161*T1^5 - 25*T1^6 + 
      161*T2 - 928*T1*T2 + 2082*T1^2*T2 - 2022*T1^3*T2 + 162*T1^4*T2 + 
      834*T1^5*T2 - 538*T1^6*T2 + 109*T1^7*T2 - 432*T2^2 + 2082*T1*T2^2 - 
      3118*T1^2*T2^2 - 625*T1^3*T2^2 + 6814*T1^4*T2^2 - 5665*T1^5*T2^2 + 
      1502*T1^6*T2^2 + 262*T1^7*T2^2 - 152*T1^8*T2^2 + 605*T2^3 - 
      2022*T1*T2^3 - 625*T1^2*T2^3 + 11505*T1^3*T2^3 - 18438*T1^4*T2^3 + 
      5670*T1^5*T2^3 + 4659*T1^6*T2^3 - 4090*T1^7*T2^3 + 890*T1^8*T2^3 + 
      17*T1^9*T2^3 - 432*T2^4 + 162*T1*T2^4 + 6814*T1^2*T2^4 - 
      18438*T1^3*T2^4 + 12599*T1^4*T2^4 + 17239*T1^5*T2^4 - 24025*T1^6*T2^4 + 
      9884*T1^7*T2^4 + 52*T1^8*T2^4 - 930*T1^9*T2^4 + 128*T1^10*T2^4 + 
      161*T2^5 + 834*T1*T2^5 - 5665*T1^2*T2^5 + 5670*T1^3*T2^5 + 
      17239*T1^4*T2^5 - 47704*T1^5*T2^5 + 32786*T1^6*T2^5 - 16*T1^7*T2^5 - 
      10010*T1^8*T2^5 + 4100*T1^9*T2^5 - 206*T1^10*T2^5 - 99*T1^11*T2^5 - 
      25*T2^6 - 538*T1*T2^6 + 1502*T1^2*T2^6 + 4659*T1^3*T2^6 - 
      24025*T1^4*T2^6 + 32786*T1^5*T2^6 + 1104*T1^6*T2^6 - 33418*T1^7*T2^6 + 
      24541*T1^8*T2^6 - 4707*T1^9*T2^6 - 1546*T1^10*T2^6 + 502*T1^11*T2^6 + 
      23*T1^12*T2^6 + 109*T1*T2^7 + 262*T1^2*T2^7 - 4090*T1^3*T2^7 + 
      9884*T1^4*T2^7 - 16*T1^5*T2^7 - 33418*T1^6*T2^7 + 47072*T1^7*T2^7 - 
      17271*T1^8*T2^7 - 5796*T1^9*T2^7 + 5675*T1^10*T2^7 - 778*T1^11*T2^7 - 
      151*T1^12*T2^7 - 152*T1^2*T2^8 + 890*T1^3*T2^8 + 52*T1^4*T2^8 - 
      10010*T1^5*T2^8 + 24541*T1^6*T2^8 - 17271*T1^7*T2^8 - 12083*T1^8*T2^8 + 
      18312*T1^9*T2^8 - 6710*T1^10*T2^8 - 202*T1^11*T2^8 + 408*T1^12*T2^8 + 
      17*T1^3*T2^9 - 930*T1^4*T2^9 + 4100*T1^5*T2^9 - 4707*T1^6*T2^9 - 
      5796*T1^7*T2^9 + 18312*T1^8*T2^9 - 11553*T1^9*T2^9 + 635*T1^10*T2^9 + 
      1982*T1^11*T2^9 - 571*T1^12*T2^9 + 128*T1^4*T2^10 - 206*T1^5*T2^10 - 
      1546*T1^6*T2^10 + 5675*T1^7*T2^10 - 6710*T1^8*T2^10 + 635*T1^9*T2^10 + 
      3074*T1^10*T2^10 - 2026*T1^11*T2^10 + 408*T1^12*T2^10 - 99*T1^5*T2^11 + 
      502*T1^6*T2^11 - 778*T1^7*T2^11 - 202*T1^8*T2^11 + 1982*T1^9*T2^11 - 
      2026*T1^10*T2^11 + 892*T1^11*T2^11 - 151*T1^12*T2^11 + 23*T1^6*T2^12 - 
      151*T1^7*T2^12 + 408*T1^8*T2^12 - 571*T1^9*T2^12 + 408*T1^10*T2^12 - 
      151*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 31] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-138 + 640*T1 - 1272*T1^2 + 1588*T1^3 - 1272*T1^4 + 640*T1^5 - 
      138*T1^6 + 640*T2 - 2458*T1*T2 + 3531*T1^2*T2 - 2648*T1^3*T2 - 
      2*T1^4*T2 + 1767*T1^5*T2 - 1744*T1^6*T2 + 514*T1^7*T2 - 1272*T2^2 + 
      3531*T1*T2^2 - 1477*T1^2*T2^2 - 3814*T1^3*T2^2 + 8745*T1^4*T2^2 - 
      7342*T1^5*T2^2 + 2723*T1^6*T2^2 + 1179*T1^7*T2^2 - 768*T1^8*T2^2 + 
      1588*T2^3 - 2648*T1*T2^3 - 3814*T1^2*T2^3 + 9903*T1^3*T2^3 - 
      10319*T1^4*T2^3 + 1147*T1^5*T2^3 + 5409*T1^6*T2^3 - 5970*T1^7*T2^3 + 
      586*T1^8*T2^3 + 643*T1^9*T2^3 - 1272*T2^4 - 2*T1*T2^4 + 
      8745*T1^2*T2^4 - 10319*T1^3*T2^4 + 3808*T1^4*T2^4 + 8144*T1^5*T2^4 - 
      8372*T1^6*T2^4 + 2421*T1^7*T2^4 + 4433*T1^8*T2^4 - 1766*T1^9*T2^4 - 
      264*T1^10*T2^4 + 640*T2^5 + 1767*T1*T2^5 - 7342*T1^2*T2^5 + 
      1147*T1^3*T2^5 + 8144*T1^4*T2^5 - 13138*T1^5*T2^5 + 2780*T1^6*T2^5 + 
      5792*T1^7*T2^5 - 7771*T1^8*T2^5 + 302*T1^9*T2^5 + 1179*T1^10*T2^5 + 
      10*T1^11*T2^5 - 138*T2^6 - 1744*T1*T2^6 + 2723*T1^2*T2^6 + 
      5409*T1^3*T2^6 - 8372*T1^4*T2^6 + 2780*T1^5*T2^6 + 10044*T1^6*T2^6 - 
      11304*T1^7*T2^6 + 4900*T1^8*T2^6 + 3519*T1^9*T2^6 - 2037*T1^10*T2^6 - 
      148*T1^11*T2^6 + 24*T1^12*T2^6 + 514*T1*T2^7 + 1179*T1^2*T2^7 - 
      5970*T1^3*T2^7 + 2421*T1^4*T2^7 + 5792*T1^5*T2^7 - 11304*T1^6*T2^7 + 
      4614*T1^7*T2^7 + 3440*T1^8*T2^7 - 6497*T1^9*T2^7 + 1674*T1^10*T2^7 + 
      591*T1^11*T2^7 - 116*T1^12*T2^7 - 768*T1^2*T2^8 + 586*T1^3*T2^8 + 
      4433*T1^4*T2^8 - 7771*T1^5*T2^8 + 4900*T1^6*T2^8 + 3440*T1^7*T2^8 - 
      7280*T1^8*T2^8 + 4969*T1^9*T2^8 + 121*T1^10*T2^8 - 1178*T1^11*T2^8 + 
      240*T1^12*T2^8 + 643*T1^3*T2^9 - 1766*T1^4*T2^9 + 302*T1^5*T2^9 + 
      3519*T1^6*T2^9 - 6497*T1^7*T2^9 + 4969*T1^8*T2^9 - 975*T1^9*T2^9 - 
      1854*T1^10*T2^9 + 1468*T1^11*T2^9 - 302*T1^12*T2^9 - 264*T1^4*T2^10 + 
      1179*T1^5*T2^10 - 2037*T1^6*T2^10 + 1674*T1^7*T2^10 + 121*T1^8*T2^10 - 
      1854*T1^9*T2^10 + 2163*T1^10*T2^10 - 1173*T1^11*T2^10 + 
      240*T1^12*T2^10 + 10*T1^5*T2^11 - 148*T1^6*T2^11 + 591*T1^7*T2^11 - 
      1178*T1^8*T2^11 + 1468*T1^9*T2^11 - 1173*T1^10*T2^11 + 
      566*T1^11*T2^11 - 116*T1^12*T2^11 + 24*T1^6*T2^12 - 116*T1^7*T2^12 + 
      240*T1^8*T2^12 - 302*T1^9*T2^12 + 240*T1^10*T2^12 - 116*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 32] -> 
  {(3 - 14*T + 32*T^2 - 41*T^3 + 32*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (-111 + 514*T1 - 1172*T1^2 + 1499*T1^3 - 1172*T1^4 + 514*T1^5 - 111*T1^6 + 
     514*T2 - 1996*T1*T2 + 3643*T1^2*T2 - 2864*T1^3*T2 + 202*T1^4*T2 + 
     1711*T1^5*T2 - 1282*T1^6*T2 + 388*T1^7*T2 - 1172*T2^2 + 3643*T1*T2^2 - 
     4685*T1^2*T2^2 - 365*T1^3*T2^2 + 5637*T1^4*T2^2 - 5549*T1^5*T2^2 + 
     883*T1^6*T2^2 + 955*T1^7*T2^2 - 596*T1^8*T2^2 + 1499*T2^3 - 
     2864*T1*T2^3 - 365*T1^2*T2^3 + 10741*T1^3*T2^3 - 12418*T1^4*T2^3 + 
     3312*T1^5*T2^3 + 6369*T1^6*T2^3 - 4557*T1^7*T2^3 + 958*T1^8*T2^3 + 
     392*T1^9*T2^3 - 1172*T2^4 + 202*T1*T2^4 + 5637*T1^2*T2^4 - 
     12418*T1^3*T2^4 + 512*T1^4*T2^4 + 16254*T1^5*T2^4 - 19348*T1^6*T2^4 + 
     5130*T1^7*T2^4 + 1853*T1^8*T2^4 - 1730*T1^9*T2^4 - 20*T1^10*T2^4 + 
     514*T2^5 + 1711*T1*T2^5 - 5549*T1^2*T2^5 + 3312*T1^3*T2^5 + 
     16254*T1^4*T2^5 - 25256*T1^5*T2^5 + 12266*T1^6*T2^5 + 8318*T1^7*T2^5 - 
     8782*T1^8*T2^5 + 2611*T1^9*T2^5 + 619*T1^10*T2^5 - 116*T1^11*T2^5 - 
     111*T2^6 - 1282*T1*T2^6 + 883*T1^2*T2^6 + 6369*T1^3*T2^6 - 
     19348*T1^4*T2^6 + 12266*T1^5*T2^6 + 9252*T1^6*T2^6 - 21050*T1^7*T2^6 + 
     9628*T1^8*T2^6 + 571*T1^9*T2^6 - 2221*T1^10*T2^6 + 314*T1^11*T2^6 + 
     51*T1^12*T2^6 + 388*T1*T2^7 + 955*T1^2*T2^7 - 4557*T1^3*T2^7 + 
     5130*T1^4*T2^7 + 8318*T1^5*T2^7 - 21050*T1^6*T2^7 + 16472*T1^7*T2^7 + 
     382*T1^8*T2^7 - 6964*T1^9*T2^7 + 3603*T1^10*T2^7 - 137*T1^11*T2^7 - 
     242*T1^12*T2^7 - 596*T1^2*T2^8 + 958*T1^3*T2^8 + 1853*T1^4*T2^8 - 
     8782*T1^5*T2^8 + 9628*T1^6*T2^8 + 382*T1^7*T2^8 - 10232*T1^8*T2^8 + 
     8766*T1^9*T2^8 - 1931*T1^10*T2^8 - 974*T1^11*T2^8 + 556*T1^12*T2^8 + 
     392*T1^3*T2^9 - 1730*T1^4*T2^9 + 2611*T1^5*T2^9 + 571*T1^6*T2^9 - 
     6964*T1^7*T2^9 + 8766*T1^8*T2^9 - 3801*T1^9*T2^9 - 1581*T1^10*T2^9 + 
     2092*T1^11*T2^9 - 715*T1^12*T2^9 - 20*T1^4*T2^10 + 619*T1^5*T2^10 - 
     2221*T1^6*T2^10 + 3603*T1^7*T2^10 - 1931*T1^8*T2^10 - 1581*T1^9*T2^10 + 
     3347*T1^10*T2^10 - 2069*T1^11*T2^10 + 556*T1^12*T2^10 - 116*T1^5*T2^11 + 
     314*T1^6*T2^11 - 137*T1^7*T2^11 - 974*T1^8*T2^11 + 2092*T1^9*T2^11 - 
     2069*T1^10*T2^11 + 1028*T1^11*T2^11 - 242*T1^12*T2^11 + 51*T1^6*T2^12 - 
     242*T1^7*T2^12 + 556*T1^8*T2^12 - 715*T1^9*T2^12 + 556*T1^10*T2^12 - 
     242*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 33] -> 
  {-((1 - 5*T + 12*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 36*T1^2 + 57*T1^3 - 63*T1^4 + 57*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 165*T1^3*T2 + 
      125*T1^4*T2 - 75*T1^5*T2 - 10*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 147*T1^3*T2^2 + 
      40*T1^4*T2^2 - 122*T1^5*T2^2 + 256*T1^6*T2^2 - 189*T1^7*T2^2 + 
      70*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 57*T2^3 - 165*T1*T2^3 + 
      147*T1^2*T2^3 + 37*T1^3*T2^3 - 325*T1^4*T2^3 + 267*T1^5*T2^3 - 
      366*T1^6*T2^3 + 53*T1^7*T2^3 + 157*T1^8*T2^3 - 177*T1^9*T2^3 + 
      60*T1^10*T2^3 - 63*T2^4 + 125*T1*T2^4 + 40*T1^2*T2^4 - 325*T1^3*T2^4 + 
      554*T1^4*T2^4 - 206*T1^5*T2^4 + 252*T1^6*T2^4 + 328*T1^7*T2^4 - 
      426*T1^8*T2^4 + 169*T1^9*T2^4 + 98*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 57*T2^5 - 75*T1*T2^5 - 122*T1^2*T2^5 + 267*T1^3*T2^5 - 
      206*T1^4*T2^5 - 388*T1^5*T2^5 + 210*T1^6*T2^5 - 760*T1^7*T2^5 + 
      390*T1^8*T2^5 + 223*T1^9*T2^5 - 340*T1^10*T2^5 + 85*T1^11*T2^5 + 
      85*T1^12*T2^5 - 38*T1^13*T2^5 - 36*T2^6 - 10*T1*T2^6 + 256*T1^2*T2^6 - 
      366*T1^3*T2^6 + 252*T1^4*T2^6 + 210*T1^5*T2^6 + 128*T1^6*T2^6 + 
      426*T1^7*T2^6 + 136*T1^8*T2^6 - 614*T1^9*T2^6 + 88*T1^10*T2^6 + 
      306*T1^11*T2^6 - 276*T1^12*T2^6 + 10*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 189*T1^2*T2^7 + 53*T1^3*T2^7 + 328*T1^4*T2^7 - 
      760*T1^5*T2^7 + 426*T1^6*T2^7 - 618*T1^7*T2^7 - 264*T1^8*T2^7 + 
      591*T1^9*T2^7 + 502*T1^10*T2^7 - 521*T1^11*T2^7 + 139*T1^12*T2^7 + 
      207*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      70*T1^2*T2^8 + 157*T1^3*T2^8 - 426*T1^4*T2^8 + 390*T1^5*T2^8 + 
      136*T1^6*T2^8 - 264*T1^7*T2^8 + 564*T1^8*T2^8 - 220*T1^9*T2^8 - 
      1206*T1^10*T2^8 + 386*T1^11*T2^8 + 194*T1^12*T2^8 - 353*T1^13*T2^8 - 
      8*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      10*T1^2*T2^9 - 177*T1^3*T2^9 + 169*T1^4*T2^9 + 223*T1^5*T2^9 - 
      614*T1^6*T2^9 + 591*T1^7*T2^9 - 220*T1^8*T2^9 + 134*T1^9*T2^9 + 
      756*T1^10*T2^9 + 648*T1^11*T2^9 - 626*T1^12*T2^9 + 255*T1^13*T2^9 + 
      219*T1^14*T2^9 - 115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 
      60*T1^3*T2^10 + 98*T1^4*T2^10 - 340*T1^5*T2^10 + 88*T1^6*T2^10 + 
      502*T1^7*T2^10 - 1206*T1^8*T2^10 + 756*T1^9*T2^10 - 1198*T1^10*T2^10 - 
      322*T1^11*T2^10 - 76*T1^12*T2^10 + 332*T1^13*T2^10 - 434*T1^14*T2^10 + 
      80*T1^15*T2^10 + 60*T1^16*T2^10 - 105*T1^4*T2^11 + 85*T1^5*T2^11 + 
      306*T1^6*T2^11 - 521*T1^7*T2^11 + 386*T1^8*T2^11 + 648*T1^9*T2^11 - 
      322*T1^10*T2^11 + 1164*T1^11*T2^11 - 92*T1^12*T2^11 - 301*T1^13*T2^11 + 
      292*T1^14*T2^11 + 55*T1^15*T2^11 - 95*T1^16*T2^11 + 21*T1^4*T2^12 + 
      85*T1^5*T2^12 - 276*T1^6*T2^12 + 139*T1^7*T2^12 + 194*T1^8*T2^12 - 
      626*T1^9*T2^12 - 76*T1^10*T2^12 - 92*T1^11*T2^12 - 786*T1^12*T2^12 + 
      633*T1^13*T2^12 - 218*T1^14*T2^12 - 145*T1^15*T2^12 + 105*T1^16*T2^12 - 
      38*T1^5*T2^13 + 10*T1^6*T2^13 + 207*T1^7*T2^13 - 353*T1^8*T2^13 + 
      255*T1^9*T2^13 + 332*T1^10*T2^13 - 301*T1^11*T2^13 + 633*T1^12*T2^13 - 
      233*T1^13*T2^13 - 117*T1^14*T2^13 + 235*T1^15*T2^13 - 95*T1^16*T2^13 + 
      36*T1^6*T2^14 - 80*T1^7*T2^14 - 8*T1^8*T2^14 + 219*T1^9*T2^14 - 
      434*T1^10*T2^14 + 292*T1^11*T2^14 - 218*T1^12*T2^14 - 117*T1^13*T2^14 + 
      256*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 115*T1^9*T2^15 + 80*T1^10*T2^15 + 55*T1^11*T2^15 - 
      145*T1^12*T2^15 + 235*T1^13*T2^15 - 200*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 60*T1^10*T2^16 - 
      95*T1^11*T2^16 + 105*T1^12*T2^16 - 95*T1^13*T2^16 + 60*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 34] -> 
  {-((1 - 5*T + 14*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 14*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 70*T1^2 + 125*T1^3 - 145*T1^4 + 125*T1^5 - 
      70*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 250*T1^2*T2 - 
      345*T1^3*T2 + 225*T1^4*T2 - 45*T1^5*T2 - 150*T1^6*T2 + 155*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 70*T2^2 + 250*T1*T2^2 - 522*T1^2*T2^2 + 
      559*T1^3*T2^2 - 112*T1^4*T2^2 - 110*T1^5*T2^2 + 308*T1^6*T2^2 - 
      T1^7*T2^2 - 158*T1^8*T2^2 + 110*T1^9*T2^2 - 42*T1^10*T2^2 + 125*T2^3 - 
      345*T1*T2^3 + 559*T1^2*T2^3 - 197*T1^3*T2^3 - 711*T1^4*T2^3 + 
      465*T1^5*T2^3 - 390*T1^6*T2^3 - 531*T1^7*T2^3 + 423*T1^8*T2^3 - 
      71*T1^9*T2^3 - 40*T1^10*T2^3 + 50*T1^11*T2^3 - 145*T2^4 + 225*T1*T2^4 - 
      112*T1^2*T2^4 - 711*T1^3*T2^4 + 1327*T1^4*T2^4 + 488*T1^5*T2^4 - 
      839*T1^6*T2^4 + 1918*T1^7*T2^4 - 425*T1^8*T2^4 - 361*T1^9*T2^4 + 
      262*T1^10*T2^4 - 105*T1^11*T2^4 - 29*T1^12*T2^4 + 125*T2^5 - 
      45*T1*T2^5 - 110*T1^2*T2^5 + 465*T1^3*T2^5 + 488*T1^4*T2^5 - 
      3620*T1^5*T2^5 + 2383*T1^6*T2^5 - 1927*T1^7*T2^5 - 1510*T1^8*T2^5 + 
      1523*T1^9*T2^5 - 400*T1^10*T2^5 - 35*T1^11*T2^5 + 145*T1^12*T2^5 - 
      70*T2^6 - 150*T1*T2^6 + 308*T1^2*T2^6 - 390*T1^3*T2^6 - 839*T1^4*T2^6 + 
      2383*T1^5*T2^6 + 1849*T1^6*T2^6 - 2879*T1^7*T2^6 + 5121*T1^8*T2^6 - 
      1957*T1^9*T2^6 - 347*T1^10*T2^6 + 450*T1^11*T2^6 - 204*T1^12*T2^6 - 
      70*T1^13*T2^6 + 14*T1^14*T2^6 + 25*T2^7 + 155*T1*T2^7 - T1^2*T2^7 - 
      531*T1^3*T2^7 + 1918*T1^4*T2^7 - 1927*T1^5*T2^7 - 2879*T1^6*T2^7 + 
      2356*T1^7*T2^7 - 2284*T1^8*T2^7 - 1694*T1^9*T2^7 + 2323*T1^10*T2^7 - 
      697*T1^11*T2^7 - 31*T1^12*T2^7 + 209*T1^13*T2^7 - 20*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 158*T1^2*T2^8 + 423*T1^3*T2^8 - 
      425*T1^4*T2^8 - 1510*T1^5*T2^8 + 5121*T1^6*T2^8 - 2284*T1^7*T2^8 + 
      132*T1^8*T2^8 + 2696*T1^9*T2^8 - 1565*T1^10*T2^8 - 710*T1^11*T2^8 + 
      783*T1^12*T2^8 - 347*T1^13*T2^8 - 12*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 110*T1^2*T2^9 - 71*T1^3*T2^9 - 
      361*T1^4*T2^9 + 1523*T1^5*T2^9 - 1957*T1^6*T2^9 - 1694*T1^7*T2^9 + 
      2696*T1^8*T2^9 - 1944*T1^9*T2^9 - 509*T1^10*T2^9 + 2293*T1^11*T2^9 - 
      1092*T1^12*T2^9 + 139*T1^13*T2^9 + 139*T1^14*T2^9 - 65*T1^15*T2^9 - 
      15*T1^16*T2^9 - 42*T1^2*T2^10 - 40*T1^3*T2^10 + 262*T1^4*T2^10 - 
      400*T1^5*T2^10 - 347*T1^6*T2^10 + 2323*T1^7*T2^10 - 1565*T1^8*T2^10 - 
      509*T1^9*T2^10 + 1707*T1^10*T2^10 - 2017*T1^11*T2^10 + 
      145*T1^12*T2^10 + 440*T1^13*T2^10 - 250*T1^14*T2^10 + 40*T1^15*T2^10 + 
      42*T1^16*T2^10 + 50*T1^3*T2^11 - 105*T1^4*T2^11 - 35*T1^5*T2^11 + 
      450*T1^6*T2^11 - 697*T1^7*T2^11 - 710*T1^8*T2^11 + 2293*T1^9*T2^11 - 
      2017*T1^10*T2^11 + 1400*T1^11*T2^11 + 338*T1^12*T2^11 - 
      415*T1^13*T2^11 + 40*T1^14*T2^11 + 85*T1^15*T2^11 - 75*T1^16*T2^11 - 
      29*T1^4*T2^12 + 145*T1^5*T2^12 - 204*T1^6*T2^12 - 31*T1^7*T2^12 + 
      783*T1^8*T2^12 - 1092*T1^9*T2^12 + 145*T1^10*T2^12 + 338*T1^11*T2^12 - 
      969*T1^12*T2^12 + 319*T1^13*T2^12 + 170*T1^14*T2^12 - 185*T1^15*T2^12 + 
      87*T1^16*T2^12 - 70*T1^6*T2^13 + 209*T1^7*T2^13 - 347*T1^8*T2^13 + 
      139*T1^9*T2^13 + 440*T1^10*T2^13 - 415*T1^11*T2^13 + 319*T1^12*T2^13 + 
      273*T1^13*T2^13 - 421*T1^14*T2^13 + 235*T1^15*T2^13 - 75*T1^16*T2^13 + 
      14*T1^6*T2^14 - 20*T1^7*T2^14 - 12*T1^8*T2^14 + 139*T1^9*T2^14 - 
      250*T1^10*T2^14 + 40*T1^11*T2^14 + 170*T1^12*T2^14 - 421*T1^13*T2^14 + 
      352*T1^14*T2^14 - 160*T1^15*T2^14 + 42*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 65*T1^9*T2^15 + 40*T1^10*T2^15 + 85*T1^11*T2^15 - 
      185*T1^12*T2^15 + 235*T1^13*T2^15 - 160*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 42*T1^10*T2^16 - 
      75*T1^11*T2^16 + 87*T1^12*T2^16 - 75*T1^13*T2^16 + 42*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 35] -> 
  {((1 - 2*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 2*T^3 + T^4))/T^4, 
   (-4 + 20*T1 - 56*T1^2 + 100*T1^3 - 124*T1^4 + 100*T1^5 - 56*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 205*T1^2*T2 - 290*T1^3*T2 + 
     245*T1^4*T2 - 35*T1^5*T2 - 95*T1^6*T2 + 110*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 56*T2^2 + 205*T1*T2^2 - 437*T1^2*T2^2 + 493*T1^3*T2^2 - 
     263*T1^4*T2^2 - 211*T1^5*T2^2 + 213*T1^6*T2^2 - 67*T1^7*T2^2 - 
     73*T1^8*T2^2 + 65*T1^9*T2^2 - 28*T1^10*T2^2 + 100*T2^3 - 290*T1*T2^3 + 
     493*T1^2*T2^3 - 255*T1^3*T2^3 - 275*T1^4*T2^3 + 840*T1^5*T2^3 - 
     155*T1^6*T2^3 - 245*T1^7*T2^3 + 365*T1^8*T2^3 - 137*T1^9*T2^3 + 
     15*T1^10*T2^3 + 25*T1^11*T2^3 - 124*T2^4 + 245*T1*T2^4 - 263*T1^2*T2^4 - 
     275*T1^3*T2^4 + 625*T1^4*T2^4 - 529*T1^5*T2^4 - 1297*T1^6*T2^4 + 
     1241*T1^7*T2^4 - 655*T1^8*T2^4 - 125*T1^9*T2^4 + 223*T1^10*T2^4 - 
     125*T1^11*T2^4 + 100*T2^5 - 35*T1*T2^5 - 211*T1^2*T2^5 + 840*T1^3*T2^5 - 
     529*T1^4*T2^5 - 500*T1^5*T2^5 + 2777*T1^6*T2^5 - 1063*T1^7*T2^5 - 
     340*T1^8*T2^5 + 1036*T1^9*T2^5 - 445*T1^10*T2^5 + 14*T1^11*T2^5 + 
     125*T1^12*T2^5 - 25*T1^13*T2^5 - 56*T2^6 - 95*T1*T2^6 + 213*T1^2*T2^6 - 
     155*T1^3*T2^6 - 1297*T1^4*T2^6 + 2777*T1^5*T2^6 - 3666*T1^6*T2^6 - 
     610*T1^7*T2^6 + 2182*T1^8*T2^6 - 1683*T1^9*T2^6 + 91*T1^10*T2^6 + 
     405*T1^11*T2^6 - 243*T1^12*T2^6 - 15*T1^13*T2^6 + 28*T1^14*T2^6 + 
     20*T2^7 + 110*T1*T2^7 - 67*T1^2*T2^7 - 245*T1^3*T2^7 + 1241*T1^4*T2^7 - 
     1063*T1^5*T2^7 - 610*T1^6*T2^7 + 5092*T1^7*T2^7 - 3798*T1^8*T2^7 + 
     425*T1^9*T2^7 + 1537*T1^10*T2^7 - 1144*T1^11*T2^7 + 205*T1^12*T2^7 + 
     143*T1^13*T2^7 - 65*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     73*T1^2*T2^8 + 365*T1^3*T2^8 - 655*T1^4*T2^8 - 340*T1^5*T2^8 + 
     2182*T1^6*T2^8 - 3798*T1^7*T2^8 - 84*T1^8*T2^8 + 3682*T1^9*T2^8 - 
     2936*T1^10*T2^8 + 760*T1^11*T2^8 + 569*T1^12*T2^8 - 405*T1^13*T2^8 + 
     73*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     65*T1^2*T2^9 - 137*T1^3*T2^9 - 125*T1^4*T2^9 + 1036*T1^5*T2^9 - 
     1683*T1^6*T2^9 + 425*T1^7*T2^9 + 3682*T1^8*T2^9 - 5208*T1^9*T2^9 + 
     1460*T1^10*T2^9 + 917*T1^11*T2^9 - 1349*T1^12*T2^9 + 325*T1^13*T2^9 + 
     73*T1^14*T2^9 - 110*T1^15*T2^9 - 20*T1^16*T2^9 - 28*T1^2*T2^10 + 
     15*T1^3*T2^10 + 223*T1^4*T2^10 - 445*T1^5*T2^10 + 91*T1^6*T2^10 + 
     1537*T1^7*T2^10 - 2936*T1^8*T2^10 + 1460*T1^9*T2^10 + 2912*T1^10*T2^10 - 
     2923*T1^11*T2^10 + 1479*T1^12*T2^10 + 115*T1^13*T2^10 - 
     233*T1^14*T2^10 + 95*T1^15*T2^10 + 56*T1^16*T2^10 + 25*T1^3*T2^11 - 
     125*T1^4*T2^11 + 14*T1^5*T2^11 + 405*T1^6*T2^11 - 1144*T1^7*T2^11 + 
     760*T1^8*T2^11 + 917*T1^9*T2^11 - 2923*T1^10*T2^11 + 920*T1^11*T2^11 + 
     421*T1^12*T2^11 - 880*T1^13*T2^11 + 239*T1^14*T2^11 + 35*T1^15*T2^11 - 
     100*T1^16*T2^11 + 125*T1^5*T2^12 - 243*T1^6*T2^12 + 205*T1^7*T2^12 + 
     569*T1^8*T2^12 - 1349*T1^9*T2^12 + 1479*T1^10*T2^12 + 421*T1^11*T2^12 - 
     711*T1^12*T2^12 + 355*T1^13*T2^12 + 243*T1^14*T2^12 - 245*T1^15*T2^12 + 
     124*T1^16*T2^12 - 25*T1^5*T2^13 - 15*T1^6*T2^13 + 143*T1^7*T2^13 - 
     405*T1^8*T2^13 + 325*T1^9*T2^13 + 115*T1^10*T2^13 - 880*T1^11*T2^13 + 
     355*T1^12*T2^13 + 215*T1^13*T2^13 - 487*T1^14*T2^13 + 290*T1^15*T2^13 - 
     100*T1^16*T2^13 + 28*T1^6*T2^14 - 65*T1^7*T2^14 + 73*T1^8*T2^14 + 
     73*T1^9*T2^14 - 233*T1^10*T2^14 + 239*T1^11*T2^14 + 243*T1^12*T2^14 - 
     487*T1^13*T2^14 + 437*T1^14*T2^14 - 205*T1^15*T2^14 + 56*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 110*T1^9*T2^15 + 95*T1^10*T2^15 + 
     35*T1^11*T2^15 - 245*T1^12*T2^15 + 290*T1^13*T2^15 - 205*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     56*T1^10*T2^16 - 100*T1^11*T2^16 + 124*T1^12*T2^16 - 100*T1^13*T2^16 + 
     56*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 36] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   -((-23 + 139*T1 - 326*T1^2 + 431*T1^3 - 326*T1^4 + 139*T1^5 - 23*T1^6 + 
      139*T2 - 748*T1*T2 + 1415*T1^2*T2 - 1305*T1^3*T2 + 255*T1^4*T2 + 
      455*T1^5*T2 - 412*T1^6*T2 + 91*T1^7*T2 - 326*T2^2 + 1415*T1*T2^2 - 
      1384*T1^2*T2^2 - 1078*T1^3*T2^2 + 4216*T1^4*T2^2 - 3878*T1^5*T2^2 + 
      1528*T1^6*T2^2 + 71*T1^7*T2^2 - 102*T1^8*T2^2 + 431*T2^3 - 
      1305*T1*T2^3 - 1078*T1^2*T2^3 + 6418*T1^3*T2^3 - 9108*T1^4*T2^3 + 
      3852*T1^5*T2^3 + 1636*T1^6*T2^3 - 2590*T1^7*T2^3 + 687*T1^8*T2^3 - 
      13*T1^9*T2^3 - 326*T2^4 + 255*T1*T2^4 + 4216*T1^2*T2^4 - 
      9108*T1^3*T2^4 + 6272*T1^4*T2^4 + 5238*T1^5*T2^4 - 10104*T1^6*T2^4 + 
      5692*T1^7*T2^4 - 168*T1^8*T2^4 - 657*T1^9*T2^4 + 122*T1^10*T2^4 + 
      139*T2^5 + 455*T1*T2^5 - 3878*T1^2*T2^5 + 3852*T1^3*T2^5 + 
      5238*T1^4*T2^5 - 16116*T1^5*T2^5 + 12584*T1^6*T2^5 - 250*T1^7*T2^5 - 
      5428*T1^8*T2^5 + 2786*T1^9*T2^5 - 121*T1^10*T2^5 - 101*T1^11*T2^5 - 
      23*T2^6 - 412*T1*T2^6 + 1528*T1^2*T2^6 + 1636*T1^3*T2^6 - 
      10104*T1^4*T2^6 + 12584*T1^5*T2^6 - 912*T1^6*T2^6 - 11928*T1^7*T2^6 + 
      10024*T1^8*T2^6 - 1940*T1^9*T2^6 - 1576*T1^10*T2^6 + 452*T1^11*T2^6 + 
      25*T1^12*T2^6 + 91*T1*T2^7 + 71*T1^2*T2^7 - 2590*T1^3*T2^7 + 
      5692*T1^4*T2^7 - 250*T1^5*T2^7 - 11928*T1^6*T2^7 + 16772*T1^7*T2^7 - 
      5738*T1^8*T2^7 - 3588*T1^9*T2^7 + 4074*T1^10*T2^7 - 505*T1^11*T2^7 - 
      149*T1^12*T2^7 - 102*T1^2*T2^8 + 687*T1^3*T2^8 - 168*T1^4*T2^8 - 
      5428*T1^5*T2^8 + 10024*T1^6*T2^8 - 5738*T1^7*T2^8 - 6352*T1^8*T2^8 + 
      9372*T1^9*T2^8 - 4552*T1^10*T2^8 - 225*T1^11*T2^8 + 346*T1^12*T2^8 - 
      13*T1^3*T2^9 - 657*T1^4*T2^9 + 2786*T1^5*T2^9 - 1940*T1^6*T2^9 - 
      3588*T1^7*T2^9 + 9372*T1^8*T2^9 - 6722*T1^9*T2^9 + 1274*T1^10*T2^9 + 
      1335*T1^11*T2^9 - 457*T1^12*T2^9 + 122*T1^4*T2^10 - 121*T1^5*T2^10 - 
      1576*T1^6*T2^10 + 4074*T1^7*T2^10 - 4552*T1^8*T2^10 + 1274*T1^9*T2^10 + 
      1336*T1^10*T2^10 - 1465*T1^11*T2^10 + 346*T1^12*T2^10 - 
      101*T1^5*T2^11 + 452*T1^6*T2^11 - 505*T1^7*T2^11 - 225*T1^8*T2^11 + 
      1335*T1^9*T2^11 - 1465*T1^10*T2^11 + 788*T1^11*T2^11 - 
      149*T1^12*T2^11 + 25*T1^6*T2^12 - 149*T1^7*T2^12 + 346*T1^8*T2^12 - 
      457*T1^9*T2^12 + 346*T1^10*T2^12 - 149*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 37] -> 
  {-((2 - 9*T + 21*T^2 - 29*T^3 + 21*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 113*T1 - 264*T1^2 + 365*T1^3 - 264*T1^4 + 113*T1^5 - 25*T1^6 + 
      113*T2 - 434*T1*T2 + 845*T1^2*T2 - 835*T1^3*T2 + 65*T1^4*T2 + 
      305*T1^5*T2 - 236*T1^6*T2 + 77*T1^7*T2 - 264*T2^2 + 845*T1*T2^2 - 
      1310*T1^2*T2^2 + 623*T1^3*T2^2 + 1268*T1^4*T2^2 - 1057*T1^5*T2^2 + 
      286*T1^6*T2^2 + 89*T1^7*T2^2 - 96*T1^8*T2^2 + 365*T2^3 - 835*T1*T2^3 + 
      623*T1^2*T2^3 + 1257*T1^3*T2^3 - 3486*T1^4*T2^3 + 744*T1^5*T2^3 + 
      981*T1^6*T2^3 - 952*T1^7*T2^3 + 353*T1^8*T2^3 + 17*T1^9*T2^3 - 
      264*T2^4 + 65*T1*T2^4 + 1268*T1^2*T2^4 - 3486*T1^3*T2^4 + 
      3432*T1^4*T2^4 + 2988*T1^5*T2^4 - 3816*T1^6*T2^4 + 1560*T1^7*T2^4 + 
      98*T1^8*T2^4 - 403*T1^9*T2^4 + 72*T1^10*T2^4 + 113*T2^5 + 305*T1*T2^5 - 
      1057*T1^2*T2^5 + 744*T1^3*T2^5 + 2988*T1^4*T2^5 - 9266*T1^5*T2^5 + 
      5164*T1^6*T2^5 + 405*T1^7*T2^5 - 1854*T1^8*T2^5 + 938*T1^9*T2^5 - 
      19*T1^10*T2^5 - 67*T1^11*T2^5 - 25*T2^6 - 236*T1*T2^6 + 286*T1^2*T2^6 + 
      981*T1^3*T2^6 - 3816*T1^4*T2^6 + 5164*T1^5*T2^6 + 2064*T1^6*T2^6 - 
      6536*T1^7*T2^6 + 4050*T1^8*T2^6 - 849*T1^9*T2^6 - 362*T1^10*T2^6 + 
      196*T1^11*T2^6 + 23*T1^12*T2^6 + 77*T1*T2^7 + 89*T1^2*T2^7 - 
      952*T1^3*T2^7 + 1560*T1^4*T2^7 + 405*T1^5*T2^7 - 6536*T1^6*T2^7 + 
      7894*T1^7*T2^7 - 2178*T1^8*T2^7 - 1038*T1^9*T2^7 + 1043*T1^10*T2^7 - 
      235*T1^11*T2^7 - 103*T1^12*T2^7 - 96*T1^2*T2^8 + 353*T1^3*T2^8 + 
      98*T1^4*T2^8 - 1854*T1^5*T2^8 + 4050*T1^6*T2^8 - 2178*T1^7*T2^8 - 
      3198*T1^8*T2^8 + 3192*T1^9*T2^8 - 1072*T1^10*T2^8 - 115*T1^11*T2^8 + 
      240*T1^12*T2^8 + 17*T1^3*T2^9 - 403*T1^4*T2^9 + 938*T1^5*T2^9 - 
      849*T1^6*T2^9 - 1038*T1^7*T2^9 + 3192*T1^8*T2^9 - 1125*T1^9*T2^9 - 
      637*T1^10*T2^9 + 785*T1^11*T2^9 - 331*T1^12*T2^9 + 72*T1^4*T2^10 - 
      19*T1^5*T2^10 - 362*T1^6*T2^10 + 1043*T1^7*T2^10 - 1072*T1^8*T2^10 - 
      637*T1^9*T2^10 + 1234*T1^10*T2^10 - 775*T1^11*T2^10 + 240*T1^12*T2^10 - 
      67*T1^5*T2^11 + 196*T1^6*T2^11 - 235*T1^7*T2^11 - 115*T1^8*T2^11 + 
      785*T1^9*T2^11 - 775*T1^10*T2^11 + 394*T1^11*T2^11 - 103*T1^12*T2^11 + 
      23*T1^6*T2^12 - 103*T1^7*T2^12 + 240*T1^8*T2^12 - 331*T1^9*T2^12 + 
      240*T1^10*T2^12 - 103*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 38] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-23 + 127*T1 - 312*T1^2 + 427*T1^3 - 312*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1263*T1^2*T2 - 1229*T1^3*T2 + 179*T1^4*T2 + 
      427*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 312*T2^2 + 1263*T1*T2^2 - 
      1783*T1^2*T2^2 + 73*T1^3*T2^2 + 3011*T1^4*T2^2 - 2735*T1^5*T2^2 + 
      917*T1^6*T2^2 + 75*T1^7*T2^2 - 96*T1^8*T2^2 + 427*T2^3 - 1229*T1*T2^3 + 
      73*T1^2*T2^3 + 4439*T1^3*T2^3 - 7809*T1^4*T2^3 + 2763*T1^5*T2^3 + 
      1811*T1^6*T2^3 - 2060*T1^7*T2^3 + 619*T1^8*T2^3 - 17*T1^9*T2^3 - 
      312*T2^4 + 179*T1*T2^4 + 3011*T1^2*T2^4 - 7809*T1^3*T2^4 + 
      6189*T1^4*T2^4 + 5713*T1^5*T2^4 - 9575*T1^6*T2^4 + 4549*T1^7*T2^4 - 
      111*T1^8*T2^4 - 569*T1^9*T2^4 + 120*T1^10*T2^4 + 127*T2^5 + 
      427*T1*T2^5 - 2735*T1^2*T2^5 + 2763*T1^3*T2^5 + 5713*T1^4*T2^5 - 
      17934*T1^5*T2^5 + 13574*T1^6*T2^5 - 470*T1^7*T2^5 - 4237*T1^8*T2^5 + 
      2098*T1^9*T2^5 - 145*T1^10*T2^5 - 93*T1^11*T2^5 - 23*T2^6 - 
      332*T1*T2^6 + 917*T1^2*T2^6 + 1811*T1^3*T2^6 - 9575*T1^4*T2^6 + 
      13574*T1^5*T2^6 - 1464*T1^6*T2^6 - 12498*T1^7*T2^6 + 9615*T1^8*T2^6 - 
      2047*T1^9*T2^6 - 843*T1^10*T2^6 + 372*T1^11*T2^6 + 25*T1^12*T2^6 + 
      83*T1*T2^7 + 75*T1^2*T2^7 - 2060*T1^3*T2^7 + 4549*T1^4*T2^7 - 
      470*T1^5*T2^7 - 12498*T1^6*T2^7 + 19010*T1^7*T2^7 - 6653*T1^8*T2^7 - 
      2451*T1^9*T2^7 + 2773*T1^10*T2^7 - 497*T1^11*T2^7 - 137*T1^12*T2^7 - 
      96*T1^2*T2^8 + 619*T1^3*T2^8 - 111*T1^4*T2^8 - 4237*T1^5*T2^8 + 
      9615*T1^6*T2^8 - 6653*T1^7*T2^8 - 6149*T1^8*T2^8 + 8121*T1^9*T2^8 - 
      3233*T1^10*T2^8 - 129*T1^11*T2^8 + 336*T1^12*T2^8 - 17*T1^3*T2^9 - 
      569*T1^4*T2^9 + 2098*T1^5*T2^9 - 2047*T1^6*T2^9 - 2451*T1^7*T2^9 + 
      8121*T1^8*T2^9 - 4675*T1^9*T2^9 - 35*T1^10*T2^9 + 1279*T1^11*T2^9 - 
      461*T1^12*T2^9 + 120*T1^4*T2^10 - 145*T1^5*T2^10 - 843*T1^6*T2^10 + 
      2773*T1^7*T2^10 - 3233*T1^8*T2^10 - 35*T1^9*T2^10 + 1857*T1^10*T2^10 - 
      1333*T1^11*T2^10 + 336*T1^12*T2^10 - 93*T1^5*T2^11 + 372*T1^6*T2^11 - 
      497*T1^7*T2^11 - 129*T1^8*T2^11 + 1279*T1^9*T2^11 - 1333*T1^10*T2^11 + 
      658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 137*T1^7*T2^12 + 
      336*T1^8*T2^12 - 461*T1^9*T2^12 + 336*T1^10*T2^12 - 137*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 39] -> 
  {-((3 - 12*T + 22*T^2 - 27*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-84 + 336*T1 - 616*T1^2 + 758*T1^3 - 616*T1^4 + 336*T1^5 - 84*T1^6 + 
      336*T2 - 1118*T1*T2 + 1555*T1^2*T2 - 1360*T1^3*T2 + 404*T1^4*T2 + 
      331*T1^5*T2 - 578*T1^6*T2 + 228*T1^7*T2 - 616*T2^2 + 1555*T1*T2^2 - 
      1096*T1^2*T2^2 - 202*T1^3*T2^2 + 2016*T1^4*T2^2 - 2182*T1^5*T2^2 + 
      1412*T1^6*T2^2 - 29*T1^7*T2^2 - 220*T1^8*T2^2 + 758*T2^3 - 
      1360*T1*T2^3 - 202*T1^2*T2^3 + 1701*T1^3*T2^3 - 3040*T1^4*T2^3 + 
      1634*T1^5*T2^3 + 15*T1^6*T2^3 - 1588*T1^7*T2^3 + 764*T1^8*T2^3 + 
      29*T1^9*T2^3 - 616*T2^4 + 404*T1*T2^4 + 2016*T1^2*T2^4 - 
      3040*T1^3*T2^4 + 3457*T1^4*T2^4 - 685*T1^5*T2^4 - 1247*T1^6*T2^4 + 
      2144*T1^7*T2^4 + 48*T1^8*T2^4 - 820*T1^9*T2^4 + 176*T1^10*T2^4 + 
      336*T2^5 + 331*T1*T2^5 - 2182*T1^2*T2^5 + 1634*T1^3*T2^5 - 
      685*T1^4*T2^5 - 2266*T1^5*T2^5 + 2612*T1^6*T2^5 - 1081*T1^7*T2^5 - 
      2020*T1^8*T2^5 + 1580*T1^9*T2^5 + 115*T1^10*T2^5 - 204*T1^11*T2^5 - 
      84*T2^6 - 578*T1*T2^6 + 1412*T1^2*T2^6 + 15*T1^3*T2^6 - 
      1247*T1^4*T2^6 + 2612*T1^5*T2^6 - 984*T1^6*T2^6 - 1612*T1^7*T2^6 + 
      2781*T1^8*T2^6 - 387*T1^9*T2^6 - 1408*T1^10*T2^6 + 502*T1^11*T2^6 + 
      78*T1^12*T2^6 + 228*T1*T2^7 - 29*T1^2*T2^7 - 1588*T1^3*T2^7 + 
      2144*T1^4*T2^7 - 1081*T1^5*T2^7 - 1612*T1^6*T2^7 + 3266*T1^7*T2^7 - 
      1477*T1^8*T2^7 - 1510*T1^9*T2^7 + 2174*T1^10*T2^7 - 245*T1^11*T2^7 - 
      312*T1^12*T2^7 - 220*T1^2*T2^8 + 764*T1^3*T2^8 + 48*T1^4*T2^8 - 
      2020*T1^5*T2^8 + 2781*T1^6*T2^8 - 1477*T1^7*T2^8 - 1923*T1^8*T2^8 + 
      3164*T1^9*T2^8 - 1920*T1^10*T2^8 - 460*T1^11*T2^8 + 572*T1^12*T2^8 + 
      29*T1^3*T2^9 - 820*T1^4*T2^9 + 1580*T1^5*T2^9 - 387*T1^6*T2^9 - 
      1510*T1^7*T2^9 + 3164*T1^8*T2^9 - 2073*T1^9*T2^9 + 194*T1^10*T2^9 + 
      1304*T1^11*T2^9 - 700*T1^12*T2^9 + 176*T1^4*T2^10 + 115*T1^5*T2^10 - 
      1408*T1^6*T2^10 + 2174*T1^7*T2^10 - 1920*T1^8*T2^10 + 194*T1^9*T2^10 + 
      1100*T1^10*T2^10 - 1469*T1^11*T2^10 + 572*T1^12*T2^10 - 
      204*T1^5*T2^11 + 502*T1^6*T2^11 - 245*T1^7*T2^11 - 460*T1^8*T2^11 + 
      1304*T1^9*T2^11 - 1469*T1^10*T2^11 + 1042*T1^11*T2^11 - 
      312*T1^12*T2^11 + 78*T1^6*T2^12 - 312*T1^7*T2^12 + 572*T1^8*T2^12 - 
      700*T1^9*T2^12 + 572*T1^10*T2^12 - 312*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 40] -> 
  {(1 - 5*T + 12*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 72*T1^2 + 102*T1^3 - 114*T1^4 + 102*T1^5 - 72*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 235*T1^2*T2 - 210*T1^3*T2 + 
     145*T1^4*T2 - 35*T1^5*T2 - 65*T1^6*T2 + 150*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 72*T2^2 + 235*T1*T2^2 - 287*T1^2*T2^2 - 38*T1^3*T2^2 + 
     189*T1^4*T2^2 - 345*T1^5*T2^2 + 357*T1^6*T2^2 - 326*T1^7*T2^2 - 
     23*T1^8*T2^2 + 115*T1^9*T2^2 - 48*T1^10*T2^2 + 102*T2^3 - 210*T1*T2^3 - 
     38*T1^2*T2^3 + 729*T1^3*T2^3 - 567*T1^4*T2^3 + 509*T1^5*T2^3 - 
     172*T1^6*T2^3 - 51*T1^7*T2^3 + 627*T1^8*T2^3 - 290*T1^9*T2^3 - 
     15*T1^10*T2^3 + 51*T1^11*T2^3 - 114*T2^4 + 145*T1*T2^4 + 189*T1^2*T2^4 - 
     567*T1^3*T2^4 - 568*T1^4*T2^4 + 823*T1^5*T2^4 - 1256*T1^6*T2^4 + 
     1101*T1^7*T2^4 - 1240*T1^8*T2^4 + 11*T1^9*T2^4 + 251*T1^10*T2^4 - 
     65*T1^11*T2^4 - 38*T1^12*T2^4 + 102*T2^5 - 35*T1*T2^5 - 345*T1^2*T2^5 + 
     509*T1^3*T2^5 + 823*T1^4*T2^5 - 376*T1^5*T2^5 + 498*T1^6*T2^5 - 
     26*T1^7*T2^5 + 230*T1^8*T2^5 + 870*T1^9*T2^5 - 242*T1^10*T2^5 - 
     144*T1^11*T2^5 + 105*T1^12*T2^5 + 17*T1^13*T2^5 - 72*T2^6 - 65*T1*T2^6 + 
     357*T1^2*T2^6 - 172*T1^3*T2^6 - 1256*T1^4*T2^6 + 498*T1^5*T2^6 - 
     822*T1^6*T2^6 + 524*T1^7*T2^6 - 918*T1^8*T2^6 - 78*T1^9*T2^6 - 
     652*T1^10*T2^6 + 404*T1^11*T2^6 - 23*T1^12*T2^6 - 85*T1^13*T2^6 + 
     30*T2^7 + 150*T1*T2^7 - 326*T1^2*T2^7 - 51*T1^3*T2^7 + 1101*T1^4*T2^7 - 
     26*T1^5*T2^7 + 524*T1^6*T2^7 - 456*T1^7*T2^7 + 774*T1^8*T2^7 + 
     183*T1^9*T2^7 + 394*T1^10*T2^7 + 130*T1^11*T2^7 - 319*T1^12*T2^7 + 
     142*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     23*T1^2*T2^8 + 627*T1^3*T2^8 - 1240*T1^4*T2^8 + 230*T1^5*T2^8 - 
     918*T1^6*T2^8 + 774*T1^7*T2^8 - 492*T1^8*T2^8 - 482*T1^9*T2^8 + 
     60*T1^10*T2^8 - 490*T1^11*T2^8 + 384*T1^12*T2^8 - 11*T1^13*T2^8 - 
     101*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     115*T1^2*T2^9 - 290*T1^3*T2^9 + 11*T1^4*T2^9 + 870*T1^5*T2^9 - 
     78*T1^6*T2^9 + 183*T1^7*T2^9 - 482*T1^8*T2^9 + 748*T1^9*T2^9 - 
     158*T1^10*T2^9 + 342*T1^11*T2^9 - 101*T1^12*T2^9 - 257*T1^13*T2^9 + 
     178*T1^14*T2^9 - 10*T1^15*T2^9 - 10*T1^16*T2^9 - 48*T1^2*T2^10 - 
     15*T1^3*T2^10 + 251*T1^4*T2^10 - 242*T1^5*T2^10 - 652*T1^6*T2^10 + 
     394*T1^7*T2^10 + 60*T1^8*T2^10 - 158*T1^9*T2^10 - 36*T1^10*T2^10 - 
     182*T1^11*T2^10 - 48*T1^12*T2^10 + 334*T1^13*T2^10 - 129*T1^14*T2^10 - 
     35*T1^15*T2^10 + 24*T1^16*T2^10 + 51*T1^3*T2^11 - 65*T1^4*T2^11 - 
     144*T1^5*T2^11 + 404*T1^6*T2^11 + 130*T1^7*T2^11 - 490*T1^8*T2^11 + 
     342*T1^9*T2^11 - 182*T1^10*T2^11 + 116*T1^11*T2^11 + 177*T1^12*T2^11 - 
     347*T1^13*T2^11 + 57*T1^14*T2^11 + 75*T1^15*T2^11 - 34*T1^16*T2^11 - 
     38*T1^4*T2^12 + 105*T1^5*T2^12 - 23*T1^6*T2^12 - 319*T1^7*T2^12 + 
     384*T1^8*T2^12 - 101*T1^9*T2^12 - 48*T1^10*T2^12 + 177*T1^11*T2^12 - 
     288*T1^12*T2^12 + 259*T1^13*T2^12 + 39*T1^14*T2^12 - 105*T1^15*T2^12 + 
     38*T1^16*T2^12 + 17*T1^5*T2^13 - 85*T1^6*T2^13 + 142*T1^7*T2^13 - 
     11*T1^8*T2^13 - 257*T1^9*T2^13 + 334*T1^10*T2^13 - 347*T1^11*T2^13 + 
     259*T1^12*T2^13 - 113*T1^13*T2^13 - 110*T1^14*T2^13 + 110*T1^15*T2^13 - 
     34*T1^16*T2^13 + 25*T1^7*T2^14 - 101*T1^8*T2^14 + 178*T1^9*T2^14 - 
     129*T1^10*T2^14 + 57*T1^11*T2^14 + 39*T1^12*T2^14 - 110*T1^13*T2^14 + 
     163*T1^14*T2^14 - 95*T1^15*T2^14 + 24*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 10*T1^9*T2^15 - 35*T1^10*T2^15 + 75*T1^11*T2^15 - 
     105*T1^12*T2^15 + 110*T1^13*T2^15 - 95*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 24*T1^10*T2^16 - 
     34*T1^11*T2^16 + 38*T1^12*T2^16 - 34*T1^13*T2^16 + 24*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 41] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 444*T1^2 + 575*T1^3 - 444*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1685*T1^2*T2 - 1313*T1^3*T2 + 51*T1^4*T2 + 
     849*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 444*T2^2 + 1685*T1*T2^2 - 
     2092*T1^2*T2^2 - 1095*T1^3*T2^2 + 4024*T1^4*T2^2 - 3687*T1^5*T2^2 + 
     608*T1^6*T2^2 + 497*T1^7*T2^2 - 228*T1^8*T2^2 + 575*T2^3 - 
     1313*T1*T2^3 - 1095*T1^2*T2^3 + 8029*T1^3*T2^3 - 8422*T1^4*T2^3 + 
     2012*T1^5*T2^3 + 4513*T1^6*T2^3 - 2904*T1^7*T2^3 + 403*T1^8*T2^3 + 
     155*T1^9*T2^3 - 444*T2^4 + 51*T1*T2^4 + 4024*T1^2*T2^4 - 
     8422*T1^3*T2^4 - 790*T1^4*T2^4 + 12180*T1^5*T2^4 - 13870*T1^6*T2^4 + 
     3268*T1^7*T2^4 + 1386*T1^8*T2^4 - 785*T1^9*T2^4 - 12*T1^10*T2^4 + 
     181*T2^5 + 849*T1*T2^5 - 3687*T1^2*T2^5 + 2012*T1^3*T2^5 + 
     12180*T1^4*T2^5 - 17754*T1^5*T2^5 + 8408*T1^6*T2^5 + 6267*T1^7*T2^5 - 
     5910*T1^8*T2^5 + 1254*T1^9*T2^5 + 277*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 608*T1^2*T2^6 + 4513*T1^3*T2^6 - 
     13870*T1^4*T2^6 + 8408*T1^5*T2^6 + 6516*T1^6*T2^6 - 14748*T1^7*T2^6 + 
     6288*T1^8*T2^6 + 703*T1^9*T2^6 - 1152*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 497*T1^2*T2^7 - 2904*T1^3*T2^7 + 
     3268*T1^4*T2^7 + 6267*T1^5*T2^7 - 14748*T1^6*T2^7 + 11414*T1^7*T2^7 + 
     354*T1^8*T2^7 - 4654*T1^9*T2^7 + 2037*T1^10*T2^7 - 75*T1^11*T2^7 - 
     83*T1^12*T2^7 - 228*T1^2*T2^8 + 403*T1^3*T2^8 + 1386*T1^4*T2^8 - 
     5910*T1^5*T2^8 + 6288*T1^6*T2^8 + 354*T1^7*T2^8 - 6792*T1^8*T2^8 + 
     5780*T1^9*T2^8 - 1252*T1^10*T2^8 - 433*T1^11*T2^8 + 204*T1^12*T2^8 + 
     155*T1^3*T2^9 - 785*T1^4*T2^9 + 1254*T1^5*T2^9 + 703*T1^6*T2^9 - 
     4654*T1^7*T2^9 + 5780*T1^8*T2^9 - 2813*T1^9*T2^9 - 555*T1^10*T2^9 + 
     931*T1^11*T2^9 - 265*T1^12*T2^9 - 12*T1^4*T2^10 + 277*T1^5*T2^10 - 
     1152*T1^6*T2^10 + 2037*T1^7*T2^10 - 1252*T1^8*T2^10 - 555*T1^9*T2^10 + 
     1548*T1^10*T2^10 - 911*T1^11*T2^10 + 204*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 75*T1^7*T2^11 - 433*T1^8*T2^11 + 931*T1^9*T2^11 - 
     911*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 204*T1^8*T2^12 - 265*T1^9*T2^12 + 204*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 42] -> 
  {(1 - 9*T + 26*T^2 - 35*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 104*T1^2 + 140*T1^3 - 104*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     297*T1*T2 + 693*T1^2*T2 - 558*T1^3*T2 - 9*T1^4*T2 + 378*T1^5*T2 - 
     207*T1^6*T2 + 27*T1^7*T2 - 104*T2^2 + 693*T1*T2^2 - 585*T1^2*T2^2 - 
     2147*T1^3*T2^2 + 4359*T1^4*T2^2 - 3499*T1^5*T2^2 + 715*T1^6*T2^2 + 
     225*T1^7*T2^2 - 52*T1^8*T2^2 + 140*T2^3 - 558*T1*T2^3 - 2147*T1^2*T2^3 + 
     8999*T1^3*T2^3 - 8986*T1^4*T2^3 + 1613*T1^5*T2^3 + 4589*T1^6*T2^3 - 
     2537*T1^7*T2^3 + 153*T1^8*T2^3 + 35*T1^9*T2^3 - 104*T2^4 - 9*T1*T2^4 + 
     4359*T1^2*T2^4 - 8986*T1^3*T2^4 - 1628*T1^4*T2^4 + 15056*T1^5*T2^4 - 
     15408*T1^6*T2^4 + 3124*T1^7*T2^4 + 1393*T1^8*T2^4 - 315*T1^9*T2^4 + 
     36*T2^5 + 378*T1*T2^5 - 3499*T1^2*T2^5 + 1613*T1^3*T2^5 + 
     15056*T1^4*T2^5 - 22067*T1^5*T2^5 + 9323*T1^6*T2^5 + 7308*T1^7*T2^5 - 
     5964*T1^8*T2^5 + 739*T1^9*T2^5 + 81*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     207*T1*T2^6 + 715*T1^2*T2^6 + 4589*T1^3*T2^6 - 15408*T1^4*T2^6 + 
     9323*T1^5*T2^6 + 9432*T1^6*T2^6 - 17783*T1^7*T2^6 + 7208*T1^8*T2^6 + 
     635*T1^9*T2^6 - 693*T1^10*T2^6 + 63*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 225*T1^2*T2^7 - 2537*T1^3*T2^7 + 3124*T1^4*T2^7 + 
     7308*T1^5*T2^7 - 17783*T1^6*T2^7 + 13607*T1^7*T2^7 - 440*T1^8*T2^7 - 
     4453*T1^9*T2^7 + 1701*T1^10*T2^7 - 72*T1^11*T2^7 - 18*T1^12*T2^7 - 
     52*T1^2*T2^8 + 153*T1^3*T2^8 + 1393*T1^4*T2^8 - 5964*T1^5*T2^8 + 
     7208*T1^6*T2^8 - 440*T1^7*T2^8 - 6572*T1^8*T2^8 + 6146*T1^9*T2^8 - 
     1573*T1^10*T2^8 - 153*T1^11*T2^8 + 52*T1^12*T2^8 + 35*T1^3*T2^9 - 
     315*T1^4*T2^9 + 739*T1^5*T2^9 + 635*T1^6*T2^9 - 4453*T1^7*T2^9 + 
     6146*T1^8*T2^9 - 3775*T1^9*T2^9 + 349*T1^10*T2^9 + 396*T1^11*T2^9 - 
     70*T1^12*T2^9 + 81*T1^5*T2^10 - 693*T1^6*T2^10 + 1701*T1^7*T2^10 - 
     1573*T1^8*T2^10 + 349*T1^9*T2^10 + 607*T1^10*T2^10 - 387*T1^11*T2^10 + 
     52*T1^12*T2^10 - 9*T1^5*T2^11 + 63*T1^6*T2^11 - 72*T1^7*T2^11 - 
     153*T1^8*T2^11 + 396*T1^9*T2^11 - 387*T1^10*T2^11 + 153*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 52*T1^8*T2^12 - 
     70*T1^9*T2^12 + 52*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 43] -> 
  {((1 - T + T^2)^2*(4 - 7*T + 4*T^2))/T^3, 
   (-2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (194 - 526*T1 + 715*T1^2 - 526*T1^3 + 194*T1^4 - 526*T2 + 1028*T1*T2 - 
      848*T1^2*T2 - 68*T1^3*T2 + 578*T1^4*T2 - 406*T1^5*T2 + 715*T2^2 - 
      848*T1*T2^2 - 57*T1^2*T2^2 + 1284*T1^3*T2^2 - 1047*T1^4*T2^2 + 
      142*T1^5*T2^2 + 355*T1^6*T2^2 - 526*T2^3 - 68*T1*T2^3 + 
      1284*T1^2*T2^3 - 1718*T1^3*T2^3 + 262*T1^4*T2^3 + 789*T1^5*T2^3 - 
      650*T1^6*T2^3 - 118*T1^7*T2^3 + 194*T2^4 + 578*T1*T2^4 - 
      1047*T1^2*T2^4 + 262*T1^3*T2^4 + 1350*T1^4*T2^4 - 1388*T1^5*T2^4 + 
      411*T1^6*T2^4 + 314*T1^7*T2^4 + 2*T1^8*T2^4 - 406*T1*T2^5 + 
      142*T1^2*T2^5 + 789*T1^3*T2^5 - 1388*T1^4*T2^5 + 592*T1^5*T2^5 + 
      294*T1^6*T2^5 - 440*T1^7*T2^5 + 2*T1^8*T2^5 + 355*T1^2*T2^6 - 
      650*T1^3*T2^6 + 411*T1^4*T2^6 + 294*T1^5*T2^6 - 579*T1^6*T2^6 + 
      340*T1^7*T2^6 - 5*T1^8*T2^6 - 118*T1^3*T2^7 + 314*T1^4*T2^7 - 
      440*T1^5*T2^7 + 340*T1^6*T2^7 - 136*T1^7*T2^7 + 2*T1^8*T2^7 + 
      2*T1^4*T2^8 + 2*T1^5*T2^8 - 5*T1^6*T2^8 + 2*T1^7*T2^8 + 2*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 44] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-4 + 16*T1 - 36*T1^2 + 44*T1^3 - 36*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
      53*T1*T2 + 100*T1^2*T2 - 77*T1^3*T2 + 23*T1^4*T2 + 35*T1^5*T2 - 
      28*T1^6*T2 + 11*T1^7*T2 - 36*T2^2 + 100*T1*T2^2 - 161*T1^2*T2^2 + 
      54*T1^3*T2^2 + 39*T1^4*T2^2 - 107*T1^5*T2^2 + 23*T1^6*T2^2 + 
      8*T1^7*T2^2 - 13*T1^8*T2^2 + 44*T2^3 - 77*T1*T2^3 + 54*T1^2*T2^3 + 
      189*T1^3*T2^3 - 215*T1^4*T2^3 + 153*T1^5*T2^3 + 106*T1^6*T2^3 - 
      107*T1^7*T2^3 + 52*T1^8*T2^3 - 36*T2^4 + 23*T1*T2^4 + 39*T1^2*T2^4 - 
      215*T1^3*T2^4 - 23*T1^4*T2^4 + 238*T1^5*T2^4 - 478*T1^6*T2^4 + 
      214*T1^7*T2^4 - 4*T1^8*T2^4 - 52*T1^9*T2^4 + 13*T1^10*T2^4 + 16*T2^5 + 
      35*T1*T2^5 - 107*T1^2*T2^5 + 153*T1^3*T2^5 + 238*T1^4*T2^5 - 
      485*T1^5*T2^5 + 547*T1^6*T2^5 - 52*T1^7*T2^5 - 194*T1^8*T2^5 + 
      111*T1^9*T2^5 - 8*T1^10*T2^5 - 11*T1^11*T2^5 - 4*T2^6 - 28*T1*T2^6 + 
      23*T1^2*T2^6 + 106*T1^3*T2^6 - 478*T1^4*T2^6 + 547*T1^5*T2^6 - 
      192*T1^6*T2^6 - 419*T1^7*T2^6 + 498*T1^8*T2^6 - 126*T1^9*T2^6 - 
      23*T1^10*T2^6 + 28*T1^11*T2^6 + 4*T1^12*T2^6 + 11*T1*T2^7 + 
      8*T1^2*T2^7 - 107*T1^3*T2^7 + 214*T1^4*T2^7 - 52*T1^5*T2^7 - 
      419*T1^6*T2^7 + 613*T1^7*T2^7 - 342*T1^8*T2^7 - 133*T1^9*T2^7 + 
      111*T1^10*T2^7 - 35*T1^11*T2^7 - 16*T1^12*T2^7 - 13*T1^2*T2^8 + 
      52*T1^3*T2^8 - 4*T1^4*T2^8 - 194*T1^5*T2^8 + 498*T1^6*T2^8 - 
      342*T1^7*T2^8 + 43*T1^8*T2^8 + 235*T1^9*T2^8 - 47*T1^10*T2^8 - 
      23*T1^11*T2^8 + 36*T1^12*T2^8 - 52*T1^4*T2^9 + 111*T1^5*T2^9 - 
      126*T1^6*T2^9 - 133*T1^7*T2^9 + 235*T1^8*T2^9 - 209*T1^9*T2^9 - 
      50*T1^10*T2^9 + 77*T1^11*T2^9 - 44*T1^12*T2^9 + 13*T1^4*T2^10 - 
      8*T1^5*T2^10 - 23*T1^6*T2^10 + 111*T1^7*T2^10 - 47*T1^8*T2^10 - 
      50*T1^9*T2^10 + 161*T1^10*T2^10 - 100*T1^11*T2^10 + 36*T1^12*T2^10 - 
      11*T1^5*T2^11 + 28*T1^6*T2^11 - 35*T1^7*T2^11 - 23*T1^8*T2^11 + 
      77*T1^9*T2^11 - 100*T1^10*T2^11 + 53*T1^11*T2^11 - 16*T1^12*T2^11 + 
      4*T1^6*T2^12 - 16*T1^7*T2^12 + 36*T1^8*T2^12 - 44*T1^9*T2^12 + 
      36*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 45] -> 
  {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   -((-645 + 2348*T1 - 3295*T1^2 + 2348*T1^3 - 645*T1^4 + 2348*T2 - 
      7002*T1*T2 + 6368*T1^2*T2 - 628*T1^3*T2 - 3306*T1^4*T2 + 1556*T1^5*T2 - 
      3295*T2^2 + 6368*T1*T2^2 + 2659*T1^2*T2^2 - 13155*T1^3*T2^2 + 
      11959*T1^4*T2^2 - 1816*T1^5*T2^2 - 1063*T1^6*T2^2 + 2348*T2^3 - 
      628*T1*T2^3 - 13155*T1^2*T2^3 + 18318*T1^3*T2^3 - 6740*T1^4*T2^3 - 
      6335*T1^5*T2^3 + 3992*T1^6*T2^3 - 28*T1^7*T2^3 - 645*T2^4 - 
      3306*T1*T2^4 + 11959*T1^2*T2^4 - 6740*T1^3*T2^4 - 8556*T1^4*T2^4 + 
      14292*T1^5*T2^4 - 4873*T1^6*T2^4 - 666*T1^7*T2^4 + 219*T1^8*T2^4 + 
      1556*T1*T2^5 - 1816*T1^2*T2^5 - 6335*T1^3*T2^5 + 14292*T1^4*T2^5 - 
      10766*T1^5*T2^5 + 485*T1^6*T2^5 + 2804*T1^7*T2^5 - 820*T1^8*T2^5 - 
      1063*T1^2*T2^6 + 3992*T1^3*T2^6 - 4873*T1^4*T2^6 + 485*T1^5*T2^6 + 
      4427*T1^6*T2^6 - 4192*T1^7*T2^6 + 1169*T1^8*T2^6 - 28*T1^3*T2^7 - 
      666*T1^4*T2^7 + 2804*T1^5*T2^7 - 4192*T1^6*T2^7 + 3030*T1^7*T2^7 - 
      820*T1^8*T2^7 + 219*T1^4*T2^8 - 820*T1^5*T2^8 + 1169*T1^6*T2^8 - 
      820*T1^7*T2^8 + 219*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 46] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-31 + 139*T1 - 308*T1^2 + 385*T1^3 - 308*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 919*T1^2*T2 - 705*T1^3*T2 + 105*T1^4*T2 + 
     397*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 308*T2^2 + 919*T1*T2^2 - 
     1129*T1^2*T2^2 - 120*T1^3*T2^2 + 1249*T1^4*T2^2 - 1400*T1^5*T2^2 + 
     311*T1^6*T2^2 + 199*T1^7*T2^2 - 148*T1^8*T2^2 + 385*T2^3 - 705*T1*T2^3 - 
     120*T1^2*T2^3 + 2530*T1^3*T2^3 - 2738*T1^4*T2^3 + 1012*T1^5*T2^3 + 
     1360*T1^6*T2^3 - 1140*T1^7*T2^3 + 285*T1^8*T2^3 + 85*T1^9*T2^3 - 
     308*T2^4 + 105*T1*T2^4 + 1249*T1^2*T2^4 - 2738*T1^3*T2^4 + 
     69*T1^4*T2^4 + 3137*T1^5*T2^4 - 4251*T1^6*T2^4 + 1362*T1^7*T2^4 + 
     399*T1^8*T2^4 - 435*T1^9*T2^4 + 12*T1^10*T2^4 + 139*T2^5 + 397*T1*T2^5 - 
     1400*T1^2*T2^5 + 1012*T1^3*T2^5 + 3137*T1^4*T2^5 - 4952*T1^5*T2^5 + 
     2878*T1^6*T2^5 + 1417*T1^7*T2^5 - 2038*T1^8*T2^5 + 660*T1^9*T2^5 + 
     127*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 311*T1^2*T2^6 + 
     1360*T1^3*T2^6 - 4251*T1^4*T2^6 + 2878*T1^5*T2^6 + 1488*T1^6*T2^6 - 
     4306*T1^7*T2^6 + 2529*T1^8*T2^6 + 40*T1^9*T2^6 - 525*T1^10*T2^6 + 
     110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 199*T1^2*T2^7 - 
     1140*T1^3*T2^7 + 1362*T1^4*T2^7 + 1417*T1^5*T2^7 - 4306*T1^6*T2^7 + 
     3524*T1^7*T2^7 - 303*T1^8*T2^7 - 1688*T1^9*T2^7 + 920*T1^10*T2^7 - 
     71*T1^11*T2^7 - 77*T1^12*T2^7 - 148*T1^2*T2^8 + 285*T1^3*T2^8 + 
     399*T1^4*T2^8 - 2038*T1^5*T2^8 + 2529*T1^6*T2^8 - 303*T1^7*T2^8 - 
     1791*T1^8*T2^8 + 2062*T1^9*T2^8 - 451*T1^10*T2^8 - 255*T1^11*T2^8 + 
     172*T1^12*T2^8 + 85*T1^3*T2^9 - 435*T1^4*T2^9 + 660*T1^5*T2^9 + 
     40*T1^6*T2^9 - 1688*T1^7*T2^9 + 2062*T1^8*T2^9 - 1130*T1^9*T2^9 - 
     360*T1^10*T2^9 + 555*T1^11*T2^9 - 215*T1^12*T2^9 + 12*T1^4*T2^10 + 
     127*T1^5*T2^10 - 525*T1^6*T2^10 + 920*T1^7*T2^10 - 451*T1^8*T2^10 - 
     360*T1^9*T2^10 + 915*T1^10*T2^10 - 593*T1^11*T2^10 + 172*T1^12*T2^10 - 
     41*T1^5*T2^11 + 110*T1^6*T2^11 - 71*T1^7*T2^11 - 255*T1^8*T2^11 + 
     555*T1^9*T2^11 - 593*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 
     17*T1^6*T2^12 - 77*T1^7*T2^12 + 172*T1^8*T2^12 - 215*T1^9*T2^12 + 
     172*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 47] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-4 + 16*T1 - 36*T1^2 + 44*T1^3 - 36*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
      53*T1*T2 + 100*T1^2*T2 - 77*T1^3*T2 + 23*T1^4*T2 + 35*T1^5*T2 - 
      28*T1^6*T2 + 11*T1^7*T2 - 36*T2^2 + 100*T1*T2^2 - 161*T1^2*T2^2 + 
      54*T1^3*T2^2 + 39*T1^4*T2^2 - 107*T1^5*T2^2 + 23*T1^6*T2^2 + 
      8*T1^7*T2^2 - 13*T1^8*T2^2 + 44*T2^3 - 77*T1*T2^3 + 54*T1^2*T2^3 + 
      189*T1^3*T2^3 - 215*T1^4*T2^3 + 153*T1^5*T2^3 + 106*T1^6*T2^3 - 
      107*T1^7*T2^3 + 52*T1^8*T2^3 - 36*T2^4 + 23*T1*T2^4 + 39*T1^2*T2^4 - 
      215*T1^3*T2^4 - 23*T1^4*T2^4 + 238*T1^5*T2^4 - 478*T1^6*T2^4 + 
      214*T1^7*T2^4 - 4*T1^8*T2^4 - 52*T1^9*T2^4 + 13*T1^10*T2^4 + 16*T2^5 + 
      35*T1*T2^5 - 107*T1^2*T2^5 + 153*T1^3*T2^5 + 238*T1^4*T2^5 - 
      485*T1^5*T2^5 + 547*T1^6*T2^5 - 52*T1^7*T2^5 - 194*T1^8*T2^5 + 
      111*T1^9*T2^5 - 8*T1^10*T2^5 - 11*T1^11*T2^5 - 4*T2^6 - 28*T1*T2^6 + 
      23*T1^2*T2^6 + 106*T1^3*T2^6 - 478*T1^4*T2^6 + 547*T1^5*T2^6 - 
      192*T1^6*T2^6 - 419*T1^7*T2^6 + 498*T1^8*T2^6 - 126*T1^9*T2^6 - 
      23*T1^10*T2^6 + 28*T1^11*T2^6 + 4*T1^12*T2^6 + 11*T1*T2^7 + 
      8*T1^2*T2^7 - 107*T1^3*T2^7 + 214*T1^4*T2^7 - 52*T1^5*T2^7 - 
      419*T1^6*T2^7 + 613*T1^7*T2^7 - 342*T1^8*T2^7 - 133*T1^9*T2^7 + 
      111*T1^10*T2^7 - 35*T1^11*T2^7 - 16*T1^12*T2^7 - 13*T1^2*T2^8 + 
      52*T1^3*T2^8 - 4*T1^4*T2^8 - 194*T1^5*T2^8 + 498*T1^6*T2^8 - 
      342*T1^7*T2^8 + 43*T1^8*T2^8 + 235*T1^9*T2^8 - 47*T1^10*T2^8 - 
      23*T1^11*T2^8 + 36*T1^12*T2^8 - 52*T1^4*T2^9 + 111*T1^5*T2^9 - 
      126*T1^6*T2^9 - 133*T1^7*T2^9 + 235*T1^8*T2^9 - 209*T1^9*T2^9 - 
      50*T1^10*T2^9 + 77*T1^11*T2^9 - 44*T1^12*T2^9 + 13*T1^4*T2^10 - 
      8*T1^5*T2^10 - 23*T1^6*T2^10 + 111*T1^7*T2^10 - 47*T1^8*T2^10 - 
      50*T1^9*T2^10 + 161*T1^10*T2^10 - 100*T1^11*T2^10 + 36*T1^12*T2^10 - 
      11*T1^5*T2^11 + 28*T1^6*T2^11 - 35*T1^7*T2^11 - 23*T1^8*T2^11 + 
      77*T1^9*T2^11 - 100*T1^10*T2^11 + 53*T1^11*T2^11 - 16*T1^12*T2^11 + 
      4*T1^6*T2^12 - 16*T1^7*T2^12 + 36*T1^8*T2^12 - 44*T1^9*T2^12 + 
      36*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 48] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-7 + 43*T1 - 96*T1^2 + 123*T1^3 - 96*T1^4 + 43*T1^5 - 7*T1^6 + 43*T2 - 
      268*T1*T2 + 609*T1^2*T2 - 787*T1^3*T2 + 629*T1^4*T2 - 303*T1^5*T2 + 
      68*T1^6*T2 - 5*T1^7*T2 - 96*T2^2 + 609*T1*T2^2 - 1264*T1^2*T2^2 + 
      1088*T1^3*T2^2 + 28*T1^4*T2^2 - 1096*T1^5*T2^2 + 1232*T1^6*T2^2 - 
      639*T1^7*T2^2 + 112*T1^8*T2^2 + 123*T2^3 - 787*T1*T2^3 + 
      1088*T1^2*T2^3 + 1342*T1^3*T2^3 - 4852*T1^4*T2^3 + 6032*T1^5*T2^3 - 
      3584*T1^6*T2^3 + 308*T1^7*T2^3 + 965*T1^8*T2^3 - 273*T1^9*T2^3 - 
      96*T2^4 + 629*T1*T2^4 + 28*T1^2*T2^4 - 4852*T1^3*T2^4 + 
      7303*T1^4*T2^4 - 3297*T1^5*T2^4 - 4337*T1^6*T2^4 + 7292*T1^7*T2^4 - 
      4068*T1^8*T2^4 - 283*T1^9*T2^4 + 320*T1^10*T2^4 + 43*T2^5 - 
      303*T1*T2^5 - 1096*T1^2*T2^5 + 6032*T1^3*T2^5 - 3297*T1^4*T2^5 - 
      5404*T1^5*T2^5 + 11330*T1^6*T2^5 - 6261*T1^7*T2^5 - 2332*T1^8*T2^5 + 
      5300*T1^9*T2^5 - 735*T1^10*T2^5 - 197*T1^11*T2^5 - 7*T2^6 + 
      68*T1*T2^6 + 1232*T1^2*T2^6 - 3584*T1^3*T2^6 - 4337*T1^4*T2^6 + 
      11330*T1^5*T2^6 - 8724*T1^6*T2^6 - 3526*T1^7*T2^6 + 9727*T1^8*T2^6 - 
      5624*T1^9*T2^6 - 2352*T1^10*T2^6 + 932*T1^11*T2^6 + 41*T1^12*T2^6 - 
      5*T1*T2^7 - 639*T1^2*T2^7 + 308*T1^3*T2^7 + 7292*T1^4*T2^7 - 
      6261*T1^5*T2^7 - 3526*T1^6*T2^7 + 13208*T1^7*T2^7 - 9225*T1^8*T2^7 - 
      1072*T1^9*T2^7 + 6704*T1^10*T2^7 - 1071*T1^11*T2^7 - 245*T1^12*T2^7 + 
      112*T1^2*T2^8 + 965*T1^3*T2^8 - 4068*T1^4*T2^8 - 2332*T1^5*T2^8 + 
      9727*T1^6*T2^8 - 9225*T1^7*T2^8 - 1913*T1^8*T2^8 + 9812*T1^9*T2^8 - 
      8164*T1^10*T2^8 + 53*T1^11*T2^8 + 528*T1^12*T2^8 - 273*T1^3*T2^9 - 
      283*T1^4*T2^9 + 5300*T1^5*T2^9 - 5624*T1^6*T2^9 - 1072*T1^7*T2^9 + 
      9812*T1^8*T2^9 - 10550*T1^9*T2^9 + 4520*T1^10*T2^9 + 1469*T1^11*T2^9 - 
      669*T1^12*T2^9 + 320*T1^4*T2^10 - 735*T1^5*T2^10 - 2352*T1^6*T2^10 + 
      6704*T1^7*T2^10 - 8164*T1^8*T2^10 + 4520*T1^9*T2^10 + 144*T1^10*T2^10 - 
      1983*T1^11*T2^10 + 528*T1^12*T2^10 - 197*T1^5*T2^11 + 932*T1^6*T2^11 - 
      1071*T1^7*T2^11 + 53*T1^8*T2^11 + 1469*T1^9*T2^11 - 1983*T1^10*T2^11 + 
      1268*T1^11*T2^11 - 245*T1^12*T2^11 + 41*T1^6*T2^12 - 245*T1^7*T2^12 + 
      528*T1^8*T2^12 - 669*T1^9*T2^12 + 528*T1^10*T2^12 - 245*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 49] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 596*T1 - 1046*T1^2 + 1224*T1^3 - 1046*T1^4 + 596*T1^5 - 
      138*T1^6 + 596*T2 - 2101*T1*T2 + 2468*T1^2*T2 - 1676*T1^3*T2 + 
      274*T1^4*T2 + 1064*T1^5*T2 - 1477*T1^6*T2 + 479*T1^7*T2 - 1046*T2^2 + 
      2468*T1*T2^2 + 347*T1^2*T2^2 - 3753*T1^3*T2^2 + 5801*T1^4*T2^2 - 
      5685*T1^5*T2^2 + 3107*T1^6*T2^2 + 674*T1^7*T2^2 - 632*T1^8*T2^2 + 
      1224*T2^3 - 1676*T1*T2^3 - 3753*T1^2*T2^3 + 5770*T1^3*T2^3 - 
      4636*T1^4*T2^3 + 1566*T1^5*T2^3 + 2296*T1^6*T2^3 - 4558*T1^7*T2^3 + 
      586*T1^8*T2^3 + 495*T1^9*T2^3 - 1046*T2^4 + 274*T1*T2^4 + 
      5801*T1^2*T2^4 - 4636*T1^3*T2^4 + 1652*T1^4*T2^4 + 1032*T1^5*T2^4 - 
      2656*T1^6*T2^4 + 1952*T1^7*T2^4 + 3023*T1^8*T2^4 - 1208*T1^9*T2^4 - 
      218*T1^10*T2^4 + 596*T2^5 + 1064*T1*T2^5 - 5685*T1^2*T2^5 + 
      1566*T1^3*T2^5 + 1032*T1^4*T2^5 - 1325*T1^5*T2^5 + 553*T1^6*T2^5 + 
      1101*T1^7*T2^5 - 3864*T1^8*T2^5 - 372*T1^9*T2^5 + 908*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 1477*T1*T2^6 + 3107*T1^2*T2^6 + 
      2296*T1^3*T2^6 - 2656*T1^4*T2^6 + 553*T1^5*T2^6 + 804*T1^6*T2^6 - 
      1441*T1^7*T2^6 + 1494*T1^8*T2^6 + 2632*T1^9*T2^6 - 1265*T1^10*T2^6 - 
      151*T1^11*T2^6 + 24*T1^12*T2^6 + 479*T1*T2^7 + 674*T1^2*T2^7 - 
      4558*T1^3*T2^7 + 1952*T1^4*T2^7 + 1101*T1^5*T2^7 - 1441*T1^6*T2^7 + 
      437*T1^7*T2^7 + 1170*T1^8*T2^7 - 3478*T1^9*T2^7 + 755*T1^10*T2^7 + 
      518*T1^11*T2^7 - 106*T1^12*T2^7 - 632*T1^2*T2^8 + 586*T1^3*T2^8 + 
      3023*T1^4*T2^8 - 3864*T1^5*T2^8 + 1494*T1^6*T2^8 + 1170*T1^7*T2^8 - 
      2814*T1^8*T2^8 + 2724*T1^9*T2^8 + 245*T1^10*T2^8 - 896*T1^11*T2^8 + 
      196*T1^12*T2^8 + 495*T1^3*T2^9 - 1208*T1^4*T2^9 - 372*T1^5*T2^9 + 
      2632*T1^6*T2^9 - 3478*T1^7*T2^9 + 2724*T1^8*T2^9 - 842*T1^9*T2^9 - 
      1177*T1^10*T2^9 + 1054*T1^11*T2^9 - 234*T1^12*T2^9 - 218*T1^4*T2^10 + 
      908*T1^5*T2^10 - 1265*T1^6*T2^10 + 755*T1^7*T2^10 + 245*T1^8*T2^10 - 
      1177*T1^9*T2^10 + 1495*T1^10*T2^10 - 886*T1^11*T2^10 + 
      196*T1^12*T2^10 + 11*T1^5*T2^11 - 151*T1^6*T2^11 + 518*T1^7*T2^11 - 
      896*T1^8*T2^11 + 1054*T1^9*T2^11 - 886*T1^10*T2^11 + 473*T1^11*T2^11 - 
      106*T1^12*T2^11 + 24*T1^6*T2^12 - 106*T1^7*T2^12 + 196*T1^8*T2^12 - 
      234*T1^9*T2^12 + 196*T1^10*T2^12 - 106*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 50] -> 
  {-((5 - 21*T + 31*T^2 - 21*T^3 + 5*T^4)/T^2), 
   -((-415 + 1743*T1 - 2565*T1^2 + 1743*T1^3 - 415*T1^4 + 1743*T2 - 
      6109*T1*T2 + 5666*T1^2*T2 + 206*T1^3*T2 - 3379*T1^4*T2 + 1218*T1^5*T2 - 
      2565*T2^2 + 5666*T1*T2^2 + 4631*T1^2*T2^2 - 16631*T1^3*T2^2 + 
      12691*T1^4*T2^2 - 844*T1^5*T2^2 - 1015*T1^6*T2^2 + 1743*T2^3 + 
      206*T1*T2^3 - 16631*T1^2*T2^3 + 21504*T1^3*T2^3 - 4158*T1^4*T2^3 - 
      9470*T1^5*T2^3 + 3566*T1^6*T2^3 + 168*T1^7*T2^3 - 415*T2^4 - 
      3379*T1*T2^4 + 12691*T1^2*T2^4 - 4158*T1^3*T2^4 - 14832*T1^4*T2^4 + 
      16674*T1^5*T2^4 - 2731*T1^6*T2^4 - 1069*T1^7*T2^4 + 85*T1^8*T2^4 + 
      1218*T1*T2^5 - 844*T1^2*T2^5 - 9470*T1^3*T2^5 + 16674*T1^4*T2^5 - 
      8988*T1^5*T2^5 - 2309*T1^6*T2^5 + 2516*T1^7*T2^5 - 357*T1^8*T2^5 - 
      1015*T1^2*T2^6 + 3566*T1^3*T2^6 - 2731*T1^4*T2^6 - 2309*T1^5*T2^6 + 
      5329*T1^6*T2^6 - 2944*T1^7*T2^6 + 535*T1^8*T2^6 + 168*T1^3*T2^7 - 
      1069*T1^4*T2^7 + 2516*T1^5*T2^7 - 2944*T1^6*T2^7 + 1661*T1^7*T2^7 - 
      357*T1^8*T2^7 + 85*T1^4*T2^8 - 357*T1^5*T2^8 + 535*T1^6*T2^8 - 
      357*T1^7*T2^8 + 85*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 51] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (-2 + 18*T1 - 56*T1^2 + 78*T1^3 - 56*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 423*T1^2*T2 - 450*T1^3*T2 + 153*T1^4*T2 + 90*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 56*T2^2 + 423*T1*T2^2 - 829*T1^2*T2^2 - 
     134*T1^3*T2^2 + 1667*T1^4*T2^2 - 1814*T1^5*T2^2 + 683*T1^6*T2^2 - 
     81*T1^7*T2^2 + 78*T2^3 - 450*T1*T2^3 - 134*T1^2*T2^3 + 4173*T1^3*T2^3 - 
     7418*T1^4*T2^3 + 5137*T1^5*T2^3 - 471*T1^6*T2^3 - 890*T1^7*T2^3 + 
     351*T1^8*T2^3 - 39*T1^9*T2^3 - 56*T2^4 + 153*T1*T2^4 + 1667*T1^2*T2^4 - 
     7418*T1^3*T2^4 + 8421*T1^4*T2^4 + 1081*T1^5*T2^4 - 9615*T1^6*T2^4 + 
     7168*T1^7*T2^4 - 1515*T1^8*T2^4 - 153*T1^9*T2^4 + 56*T1^10*T2^4 + 
     18*T2^5 + 90*T1*T2^5 - 1814*T1^2*T2^5 + 5137*T1^3*T2^5 + 
     1081*T1^4*T2^5 - 19829*T1^5*T2^5 + 25813*T1^6*T2^5 - 10343*T1^7*T2^5 - 
     3356*T1^8*T2^5 + 2638*T1^9*T2^5 - 261*T1^10*T2^5 - 27*T1^11*T2^5 - 
     2*T2^6 - 63*T1*T2^6 + 683*T1^2*T2^6 - 471*T1^3*T2^6 - 9615*T1^4*T2^6 + 
     25813*T1^5*T2^6 - 15444*T1^6*T2^6 - 12533*T1^7*T2^6 + 20253*T1^8*T2^6 - 
     5745*T1^9*T2^6 - 497*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 
     9*T1*T2^7 - 81*T1^2*T2^7 - 890*T1^3*T2^7 + 7168*T1^4*T2^7 - 
     10343*T1^5*T2^7 - 12533*T1^6*T2^7 + 33109*T1^7*T2^7 - 21767*T1^8*T2^7 - 
     1325*T1^9*T2^7 + 3562*T1^10*T2^7 - 432*T1^11*T2^7 - 36*T1^12*T2^7 + 
     351*T1^3*T2^8 - 1515*T1^4*T2^8 - 3356*T1^5*T2^8 + 20253*T1^6*T2^8 - 
     21767*T1^7*T2^8 + 2217*T1^8*T2^8 + 11230*T1^9*T2^8 - 4697*T1^10*T2^8 + 
     45*T1^11*T2^8 + 112*T1^12*T2^8 - 39*T1^3*T2^9 - 153*T1^4*T2^9 + 
     2638*T1^5*T2^9 - 5745*T1^6*T2^9 - 1325*T1^7*T2^9 + 11230*T1^8*T2^9 - 
     10389*T1^9*T2^9 + 1882*T1^10*T2^9 + 648*T1^11*T2^9 - 156*T1^12*T2^9 + 
     56*T1^4*T2^10 - 261*T1^5*T2^10 - 497*T1^6*T2^10 + 3562*T1^7*T2^10 - 
     4697*T1^8*T2^10 + 1882*T1^9*T2^10 + 1015*T1^10*T2^10 - 765*T1^11*T2^10 + 
     112*T1^12*T2^10 - 27*T1^5*T2^11 + 207*T1^6*T2^11 - 432*T1^7*T2^11 + 
     45*T1^8*T2^11 + 648*T1^9*T2^11 - 765*T1^10*T2^11 + 297*T1^11*T2^11 - 
     36*T1^12*T2^11 + 4*T1^6*T2^12 - 36*T1^7*T2^12 + 112*T1^8*T2^12 - 
     156*T1^9*T2^12 + 112*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 52] -> 
  {-((2 - 13*T + 32*T^2 - 43*T^3 + 32*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 162*T1 - 398*T1^2 + 535*T1^3 - 398*T1^4 + 162*T1^5 - 25*T1^6 + 
      162*T2 - 940*T1*T2 + 1868*T1^2*T2 - 1720*T1^3*T2 + 230*T1^4*T2 + 
      698*T1^5*T2 - 550*T1^6*T2 + 110*T1^7*T2 - 398*T2^2 + 1868*T1*T2^2 - 
      1854*T1^2*T2^2 - 1939*T1^3*T2^2 + 6716*T1^4*T2^2 - 5779*T1^5*T2^2 + 
      1986*T1^6*T2^2 + 204*T1^7*T2^2 - 142*T1^8*T2^2 + 535*T2^3 - 
      1720*T1*T2^3 - 1939*T1^2*T2^3 + 10576*T1^3*T2^3 - 14556*T1^4*T2^3 + 
      5034*T1^5*T2^3 + 3466*T1^6*T2^3 - 3955*T1^7*T2^3 + 802*T1^8*T2^3 + 
      19*T1^9*T2^3 - 398*T2^4 + 230*T1*T2^4 + 6716*T1^2*T2^4 - 
      14556*T1^3*T2^4 + 9069*T1^4*T2^4 + 10927*T1^5*T2^4 - 16791*T1^6*T2^4 + 
      7976*T1^7*T2^4 + 374*T1^8*T2^4 - 862*T1^9*T2^4 + 114*T1^10*T2^4 + 
      162*T2^5 + 698*T1*T2^5 - 5779*T1^2*T2^5 + 5034*T1^3*T2^5 + 
      10927*T1^4*T2^5 - 29182*T1^5*T2^5 + 19808*T1^6*T2^5 + 1007*T1^7*T2^5 - 
      8672*T1^8*T2^5 + 3533*T1^9*T2^5 - 108*T1^10*T2^5 - 98*T1^11*T2^5 - 
      25*T2^6 - 550*T1*T2^6 + 1986*T1^2*T2^6 + 3466*T1^3*T2^6 - 
      16791*T1^4*T2^6 + 19808*T1^5*T2^6 + 2400*T1^6*T2^6 - 21664*T1^7*T2^6 + 
      16349*T1^8*T2^6 - 2558*T1^9*T2^6 - 1938*T1^10*T2^6 + 490*T1^11*T2^6 + 
      23*T1^12*T2^6 + 110*T1*T2^7 + 204*T1^2*T2^7 - 3955*T1^3*T2^7 + 
      7976*T1^4*T2^7 + 1007*T1^5*T2^7 - 21664*T1^6*T2^7 + 27326*T1^7*T2^7 - 
      8913*T1^8*T2^7 - 5730*T1^9*T2^7 + 5357*T1^10*T2^7 - 602*T1^11*T2^7 - 
      150*T1^12*T2^7 - 142*T1^2*T2^8 + 802*T1^3*T2^8 + 374*T1^4*T2^8 - 
      8672*T1^5*T2^8 + 16349*T1^6*T2^8 - 8913*T1^7*T2^8 - 9511*T1^8*T2^8 + 
      13860*T1^9*T2^8 - 5968*T1^10*T2^8 - 290*T1^11*T2^8 + 370*T1^12*T2^8 + 
      19*T1^3*T2^9 - 862*T1^4*T2^9 + 3533*T1^5*T2^9 - 2558*T1^6*T2^9 - 
      5730*T1^7*T2^9 + 13860*T1^8*T2^9 - 9668*T1^9*T2^9 + 1517*T1^10*T2^9 + 
      1660*T1^11*T2^9 - 497*T1^12*T2^9 + 114*T1^4*T2^10 - 108*T1^5*T2^10 - 
      1938*T1^6*T2^10 + 5357*T1^7*T2^10 - 5968*T1^8*T2^10 + 1517*T1^9*T2^10 + 
      1902*T1^10*T2^10 - 1772*T1^11*T2^10 + 370*T1^12*T2^10 - 98*T1^5*T2^11 + 
      490*T1^6*T2^11 - 602*T1^7*T2^11 - 290*T1^8*T2^11 + 1660*T1^9*T2^11 - 
      1772*T1^10*T2^11 + 880*T1^11*T2^11 - 150*T1^12*T2^11 + 23*T1^6*T2^12 - 
      150*T1^7*T2^12 + 370*T1^8*T2^12 - 497*T1^9*T2^12 + 370*T1^10*T2^12 - 
      150*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 53] -> 
  {(1 - 6*T + 14*T^2 - 18*T^3 + 19*T^4 - 18*T^5 + 14*T^6 - 6*T^7 + T^8)/T^4, 
   (-2 + 12*T1 - 28*T1^2 + 36*T1^3 - 38*T1^4 + 36*T1^5 - 28*T1^6 + 12*T1^7 - 
     2*T1^8 + 12*T2 - 66*T1*T2 + 132*T1^2*T2 - 132*T1^3*T2 + 120*T1^4*T2 - 
     102*T1^5*T2 + 60*T1^6*T2 + 12*T1^7*T2 - 24*T1^8*T2 + 6*T1^9*T2 - 
     28*T2^2 + 132*T1*T2^2 - 177*T1^2*T2^2 + 5*T1^3*T2^2 + 105*T1^4*T2^2 - 
     167*T1^5*T2^2 + 245*T1^6*T2^2 - 331*T1^7*T2^2 + 187*T1^8*T2^2 - 
     36*T1^9*T2^2 + 36*T2^3 - 132*T1*T2^3 + 5*T1^2*T2^3 + 488*T1^3*T2^3 - 
     682*T1^4*T2^3 + 683*T1^5*T2^3 - 697*T1^6*T2^3 + 656*T1^7*T2^3 - 
     166*T1^8*T2^3 - 163*T1^9*T2^3 + 108*T1^10*T2^3 - 18*T1^11*T2^3 - 
     38*T2^4 + 120*T1*T2^4 + 105*T1^2*T2^4 - 682*T1^3*T2^4 + 606*T1^4*T2^4 - 
     238*T1^5*T2^4 + 176*T1^6*T2^4 - 70*T1^7*T2^4 - 618*T1^8*T2^4 + 
     758*T1^9*T2^4 - 127*T1^10*T2^4 - 120*T1^11*T2^4 + 38*T1^12*T2^4 + 
     36*T2^5 - 102*T1*T2^5 - 167*T1^2*T2^5 + 683*T1^3*T2^5 - 238*T1^4*T2^5 - 
     314*T1^5*T2^5 + 32*T1^6*T2^5 - 148*T1^7*T2^5 + 910*T1^8*T2^5 - 
     490*T1^9*T2^5 - 721*T1^10*T2^5 + 373*T1^11*T2^5 + 96*T1^12*T2^5 - 
     54*T1^13*T2^5 - 28*T2^6 + 60*T1*T2^6 + 245*T1^2*T2^6 - 697*T1^3*T2^6 + 
     176*T1^4*T2^6 + 32*T1^5*T2^6 + 637*T1^6*T2^6 + 3*T1^7*T2^6 - 
     795*T1^8*T2^6 - 88*T1^9*T2^6 + 912*T1^10*T2^6 + 647*T1^11*T2^6 - 
     639*T1^12*T2^6 - 12*T1^13*T2^6 + 56*T1^14*T2^6 + 12*T2^7 + 12*T1*T2^7 - 
     331*T1^2*T2^7 + 656*T1^3*T2^7 - 70*T1^4*T2^7 - 148*T1^5*T2^7 + 
     3*T1^6*T2^7 - 1590*T1^7*T2^7 + 1842*T1^8*T2^7 - 561*T1^9*T2^7 + 
     152*T1^10*T2^7 - 1498*T1^11*T2^7 - 274*T1^12*T2^7 + 845*T1^13*T2^7 - 
     156*T1^14*T2^7 - 30*T1^15*T2^7 - 2*T2^8 - 24*T1*T2^8 + 187*T1^2*T2^8 - 
     166*T1^3*T2^8 - 618*T1^4*T2^8 + 910*T1^5*T2^8 - 795*T1^6*T2^8 + 
     1842*T1^7*T2^8 - 156*T1^8*T2^8 - 1566*T1^9*T2^8 + 1765*T1^10*T2^8 - 
     818*T1^11*T2^8 + 2734*T1^12*T2^8 - 1342*T1^13*T2^8 - 213*T1^14*T2^8 + 
     144*T1^15*T2^8 + 6*T1^16*T2^8 + 6*T1*T2^9 - 36*T1^2*T2^9 - 
     163*T1^3*T2^9 + 758*T1^4*T2^9 - 490*T1^5*T2^9 - 88*T1^6*T2^9 - 
     561*T1^7*T2^9 - 1566*T1^8*T2^9 + 1866*T1^9*T2^9 - 1125*T1^10*T2^9 + 
     212*T1^11*T2^9 - 1918*T1^12*T2^9 - 172*T1^13*T2^9 + 1013*T1^14*T2^9 - 
     204*T1^15*T2^9 - 36*T1^16*T2^9 + 108*T1^3*T2^10 - 127*T1^4*T2^10 - 
     721*T1^5*T2^10 + 912*T1^6*T2^10 + 152*T1^7*T2^10 + 1765*T1^8*T2^10 - 
     1125*T1^9*T2^10 + 333*T1^10*T2^10 + 32*T1^11*T2^10 + 1648*T1^12*T2^10 + 
     623*T1^13*T2^10 - 1011*T1^14*T2^10 + 36*T1^15*T2^10 + 84*T1^16*T2^10 - 
     18*T1^3*T2^11 - 120*T1^4*T2^11 + 373*T1^5*T2^11 + 647*T1^6*T2^11 - 
     1498*T1^7*T2^11 - 818*T1^8*T2^11 + 212*T1^9*T2^11 + 32*T1^10*T2^11 + 
     406*T1^11*T2^11 - 1750*T1^12*T2^11 - 757*T1^13*T2^11 + 913*T1^14*T2^11 + 
     78*T1^15*T2^11 - 108*T1^16*T2^11 + 38*T1^4*T2^12 + 96*T1^5*T2^12 - 
     639*T1^6*T2^12 - 274*T1^7*T2^12 + 2734*T1^8*T2^12 - 1918*T1^9*T2^12 + 
     1648*T1^10*T2^12 - 1750*T1^11*T2^12 + 1510*T1^12*T2^12 + 
     1166*T1^13*T2^12 - 871*T1^14*T2^12 - 144*T1^15*T2^12 + 114*T1^16*T2^12 - 
     54*T1^5*T2^13 - 12*T1^6*T2^13 + 845*T1^7*T2^13 - 1342*T1^8*T2^13 - 
     172*T1^9*T2^13 + 623*T1^10*T2^13 - 757*T1^11*T2^13 + 1166*T1^12*T2^13 - 
     1996*T1^13*T2^13 + 677*T1^14*T2^13 + 228*T1^15*T2^13 - 108*T1^16*T2^13 + 
     56*T1^6*T2^14 - 156*T1^7*T2^14 - 213*T1^8*T2^14 + 1013*T1^9*T2^14 - 
     1011*T1^10*T2^14 + 913*T1^11*T2^14 - 871*T1^12*T2^14 + 677*T1^13*T2^14 + 
     151*T1^14*T2^14 - 324*T1^15*T2^14 + 84*T1^16*T2^14 - 30*T1^7*T2^15 + 
     144*T1^8*T2^15 - 204*T1^9*T2^15 + 36*T1^10*T2^15 + 78*T1^11*T2^15 - 
     144*T1^12*T2^15 + 228*T1^13*T2^15 - 324*T1^14*T2^15 + 186*T1^15*T2^15 - 
     36*T1^16*T2^15 + 6*T1^8*T2^16 - 36*T1^9*T2^16 + 84*T1^10*T2^16 - 
     108*T1^11*T2^16 + 114*T1^12*T2^16 - 108*T1^13*T2^16 + 84*T1^14*T2^16 - 
     36*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 54] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 98*T1 - 250*T1^2 + 327*T1^3 - 250*T1^4 + 98*T1^5 - 15*T1^6 + 
     98*T2 - 594*T1*T2 + 1330*T1^2*T2 - 1360*T1^3*T2 + 616*T1^4*T2 + 
     134*T1^5*T2 - 204*T1^6*T2 + 46*T1^7*T2 - 250*T2^2 + 1330*T1*T2^2 - 
     2167*T1^2*T2^2 + 288*T1^3*T2^2 + 2679*T1^4*T2^2 - 3672*T1^5*T2^2 + 
     1925*T1^6*T2^2 - 386*T1^7*T2^2 + 14*T1^8*T2^2 + 327*T2^3 - 
     1360*T1*T2^3 + 288*T1^2*T2^3 + 6173*T1^3*T2^3 - 11512*T1^4*T2^3 + 
     9224*T1^5*T2^3 - 1951*T1^6*T2^3 - 1791*T1^7*T2^3 + 1136*T1^8*T2^3 - 
     189*T1^9*T2^3 - 250*T2^4 + 616*T1*T2^4 + 2679*T1^2*T2^4 - 
     11512*T1^3*T2^4 + 13293*T1^4*T2^4 - 845*T1^5*T2^4 - 12063*T1^6*T2^4 + 
     11794*T1^7*T2^4 - 3143*T1^8*T2^4 - 580*T1^9*T2^4 + 278*T1^10*T2^4 + 
     98*T2^5 + 134*T1*T2^5 - 3672*T1^2*T2^5 + 9224*T1^3*T2^5 - 
     845*T1^4*T2^5 - 21914*T1^5*T2^5 + 28678*T1^6*T2^5 - 12494*T1^7*T2^5 - 
     6372*T1^8*T2^5 + 5931*T1^9*T2^5 - 750*T1^10*T2^5 - 162*T1^11*T2^5 - 
     15*T2^6 - 204*T1*T2^6 + 1925*T1^2*T2^6 - 1951*T1^3*T2^6 - 
     12063*T1^4*T2^6 + 28678*T1^5*T2^6 - 13080*T1^6*T2^6 - 16018*T1^7*T2^6 + 
     27179*T1^8*T2^6 - 8989*T1^9*T2^6 - 1715*T1^10*T2^6 + 836*T1^11*T2^6 + 
     33*T1^12*T2^6 + 46*T1*T2^7 - 386*T1^2*T2^7 - 1791*T1^3*T2^7 + 
     11794*T1^4*T2^7 - 12494*T1^5*T2^7 - 16018*T1^6*T2^7 + 34574*T1^7*T2^7 - 
     24143*T1^8*T2^7 - 3802*T1^9*T2^7 + 7812*T1^10*T2^7 - 1270*T1^11*T2^7 - 
     214*T1^12*T2^7 + 14*T1^2*T2^8 + 1136*T1^3*T2^8 - 3143*T1^4*T2^8 - 
     6372*T1^5*T2^8 + 27179*T1^6*T2^8 - 24143*T1^7*T2^8 + 1823*T1^8*T2^8 + 
     16934*T1^9*T2^8 - 8965*T1^10*T2^8 - 60*T1^11*T2^8 + 542*T1^12*T2^8 - 
     189*T1^3*T2^9 - 580*T1^4*T2^9 + 5931*T1^5*T2^9 - 8989*T1^6*T2^9 - 
     3802*T1^7*T2^9 + 16934*T1^8*T2^9 - 17113*T1^9*T2^9 + 3852*T1^10*T2^9 + 
     1916*T1^11*T2^9 - 705*T1^12*T2^9 + 278*T1^4*T2^10 - 750*T1^5*T2^10 - 
     1715*T1^6*T2^10 + 7812*T1^7*T2^10 - 8965*T1^8*T2^10 + 3852*T1^9*T2^10 + 
     2377*T1^10*T2^10 - 2466*T1^11*T2^10 + 542*T1^12*T2^10 - 162*T1^5*T2^11 + 
     836*T1^6*T2^11 - 1270*T1^7*T2^11 - 60*T1^8*T2^11 + 1916*T1^9*T2^11 - 
     2466*T1^10*T2^11 + 1226*T1^11*T2^11 - 214*T1^12*T2^11 + 33*T1^6*T2^12 - 
     214*T1^7*T2^12 + 542*T1^8*T2^12 - 705*T1^9*T2^12 + 542*T1^10*T2^12 - 
     214*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 55] -> 
  {-((1 - 5*T + 10*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 30*T1^2 + 39*T1^3 - 39*T1^4 + 39*T1^5 - 30*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 100*T1^2*T2 - 95*T1^3*T2 + 
      65*T1^4*T2 - 65*T1^5*T2 + 20*T1^6*T2 + 25*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 30*T2^2 + 100*T1*T2^2 - 60*T1^2*T2^2 - 58*T1^3*T2^2 + 
      154*T1^4*T2^2 - 122*T1^5*T2^2 + 214*T1^6*T2^2 - 218*T1^7*T2^2 + 
      120*T1^8*T2^2 - 10*T1^10*T2^2 + 39*T2^3 - 95*T1*T2^3 - 58*T1^2*T2^3 + 
      229*T1^3*T2^3 - 270*T1^4*T2^3 + 130*T1^5*T2^3 - 273*T1^6*T2^3 + 
      178*T1^7*T2^3 + 25*T1^8*T2^3 - 148*T1^9*T2^3 + 50*T1^10*T2^3 - 
      39*T2^4 + 65*T1*T2^4 + 154*T1^2*T2^4 - 270*T1^3*T2^4 + 201*T1^4*T2^4 - 
      9*T1^5*T2^4 + 241*T1^6*T2^4 - 35*T1^7*T2^4 - 215*T1^8*T2^4 + 
      224*T1^9*T2^4 + 24*T1^10*T2^4 - 65*T1^11*T2^4 + 13*T1^12*T2^4 + 
      39*T2^5 - 65*T1*T2^5 - 122*T1^2*T2^5 + 130*T1^3*T2^5 - 9*T1^4*T2^5 - 
      128*T1^5*T2^5 - 204*T1^6*T2^5 - 74*T1^7*T2^5 + 262*T1^8*T2^5 - 
      74*T1^9*T2^5 - 195*T1^10*T2^5 + 73*T1^11*T2^5 + 65*T1^12*T2^5 - 
      26*T1^13*T2^5 - 30*T2^6 + 20*T1*T2^6 + 214*T1^2*T2^6 - 273*T1^3*T2^6 + 
      241*T1^4*T2^6 - 204*T1^5*T2^6 + 495*T1^6*T2^6 + 5*T1^7*T2^6 - 
      265*T1^8*T2^6 + 56*T1^9*T2^6 - 19*T1^10*T2^6 + 247*T1^11*T2^6 - 
      226*T1^12*T2^6 - 20*T1^13*T2^6 + 30*T1^14*T2^6 + 15*T2^7 + 25*T1*T2^7 - 
      218*T1^2*T2^7 + 178*T1^3*T2^7 - 35*T1^4*T2^7 - 74*T1^5*T2^7 + 
      5*T1^6*T2^7 - 546*T1^7*T2^7 + 490*T1^8*T2^7 + 22*T1^9*T2^7 + 
      56*T1^10*T2^7 - 126*T1^11*T2^7 - 86*T1^12*T2^7 + 292*T1^13*T2^7 - 
      50*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 120*T1^2*T2^8 + 
      25*T1^3*T2^8 - 215*T1^4*T2^8 + 262*T1^5*T2^8 - 265*T1^6*T2^8 + 
      490*T1^7*T2^8 - 108*T1^8*T2^8 - 386*T1^9*T2^8 - 39*T1^10*T2^8 - 
      50*T1^11*T2^8 + 249*T1^12*T2^8 - 241*T1^13*T2^8 - 150*T1^14*T2^8 + 
      75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 - 148*T1^3*T2^9 + 
      224*T1^4*T2^9 - 74*T1^5*T2^9 + 56*T1^6*T2^9 + 22*T1^7*T2^9 - 
      386*T1^8*T2^9 + 650*T1^9*T2^9 + 39*T1^10*T2^9 + 186*T1^11*T2^9 - 
      165*T1^12*T2^9 - 40*T1^13*T2^9 + 362*T1^14*T2^9 - 75*T1^15*T2^9 - 
      25*T1^16*T2^9 - 10*T1^2*T2^10 + 50*T1^3*T2^10 + 24*T1^4*T2^10 - 
      195*T1^5*T2^10 - 19*T1^6*T2^10 + 56*T1^7*T2^10 - 39*T1^8*T2^10 + 
      39*T1^9*T2^10 - 799*T1^10*T2^10 + 316*T1^11*T2^10 - 279*T1^12*T2^10 + 
      325*T1^13*T2^10 - 416*T1^14*T2^10 + 10*T1^15*T2^10 + 50*T1^16*T2^10 - 
      65*T1^4*T2^11 + 73*T1^5*T2^11 + 247*T1^6*T2^11 - 126*T1^7*T2^11 - 
      50*T1^8*T2^11 + 186*T1^9*T2^11 + 316*T1^10*T2^11 + 340*T1^11*T2^11 - 
      191*T1^12*T2^11 - 78*T1^13*T2^11 + 268*T1^14*T2^11 + 65*T1^15*T2^11 - 
      65*T1^16*T2^11 + 13*T1^4*T2^12 + 65*T1^5*T2^12 - 226*T1^6*T2^12 - 
      86*T1^7*T2^12 + 249*T1^8*T2^12 - 165*T1^9*T2^12 - 279*T1^10*T2^12 - 
      191*T1^11*T2^12 - 167*T1^12*T2^12 + 408*T1^13*T2^12 - 356*T1^14*T2^12 - 
      65*T1^15*T2^12 + 65*T1^16*T2^12 - 26*T1^5*T2^13 - 20*T1^6*T2^13 + 
      292*T1^7*T2^13 - 241*T1^8*T2^13 - 40*T1^9*T2^13 + 325*T1^10*T2^13 - 
      78*T1^11*T2^13 + 408*T1^12*T2^13 - 445*T1^13*T2^13 + 202*T1^14*T2^13 + 
      125*T1^15*T2^13 - 65*T1^16*T2^13 + 30*T1^6*T2^14 - 50*T1^7*T2^14 - 
      150*T1^8*T2^14 + 362*T1^9*T2^14 - 416*T1^10*T2^14 + 268*T1^11*T2^14 - 
      356*T1^12*T2^14 + 202*T1^13*T2^14 + 30*T1^14*T2^14 - 150*T1^15*T2^14 + 
      50*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 75*T1^9*T2^15 + 
      10*T1^10*T2^15 + 65*T1^11*T2^15 - 65*T1^12*T2^15 + 125*T1^13*T2^15 - 
      150*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 
      25*T1^9*T2^16 + 50*T1^10*T2^16 - 65*T1^11*T2^16 + 65*T1^12*T2^16 - 
      65*T1^13*T2^16 + 50*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 56] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 127*T1 - 290*T1^2 + 383*T1^3 - 290*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1141*T1^2*T2 - 1063*T1^3*T2 + 213*T1^4*T2 + 
      349*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 290*T2^2 + 1141*T1*T2^2 - 
      1203*T1^2*T2^2 - 472*T1^3*T2^2 + 2845*T1^4*T2^2 - 2672*T1^5*T2^2 + 
      1097*T1^6*T2^2 + 41*T1^7*T2^2 - 90*T1^8*T2^2 + 383*T2^3 - 
      1063*T1*T2^3 - 472*T1^2*T2^3 + 4051*T1^3*T2^3 - 6204*T1^4*T2^3 + 
      2618*T1^5*T2^3 + 1081*T1^6*T2^3 - 1847*T1^7*T2^3 + 565*T1^8*T2^3 - 
      13*T1^9*T2^3 - 290*T2^4 + 213*T1*T2^4 + 2845*T1^2*T2^4 - 
      6204*T1^3*T2^4 + 4750*T1^4*T2^4 + 3208*T1^5*T2^4 - 6622*T1^6*T2^4 + 
      3894*T1^7*T2^4 - 141*T1^8*T2^4 - 535*T1^9*T2^4 + 110*T1^10*T2^4 + 
      127*T2^5 + 349*T1*T2^5 - 2672*T1^2*T2^5 + 2618*T1^3*T2^5 + 
      3208*T1^4*T2^5 - 10914*T1^5*T2^5 + 8666*T1^6*T2^5 - 367*T1^7*T2^5 - 
      3652*T1^8*T2^5 + 2003*T1^9*T2^5 - 91*T1^10*T2^5 - 93*T1^11*T2^5 - 
      23*T2^6 - 332*T1*T2^6 + 1097*T1^2*T2^6 + 1081*T1^3*T2^6 - 
      6622*T1^4*T2^6 + 8666*T1^5*T2^6 - 900*T1^6*T2^6 - 7966*T1^7*T2^6 + 
      6756*T1^8*T2^6 - 1361*T1^9*T2^6 - 1127*T1^10*T2^6 + 372*T1^11*T2^6 + 
      25*T1^12*T2^6 + 83*T1*T2^7 + 41*T1^2*T2^7 - 1847*T1^3*T2^7 + 
      3894*T1^4*T2^7 - 367*T1^5*T2^7 - 7966*T1^6*T2^7 + 11614*T1^7*T2^7 - 
      3942*T1^8*T2^7 - 2376*T1^9*T2^7 + 2828*T1^10*T2^7 - 399*T1^11*T2^7 - 
      137*T1^12*T2^7 - 90*T1^2*T2^8 + 565*T1^3*T2^8 - 141*T1^4*T2^8 - 
      3652*T1^5*T2^8 + 6756*T1^6*T2^8 - 3942*T1^7*T2^8 - 4616*T1^8*T2^8 + 
      6446*T1^9*T2^8 - 3127*T1^10*T2^8 - 183*T1^11*T2^8 + 310*T1^12*T2^8 - 
      13*T1^3*T2^9 - 535*T1^4*T2^9 + 2003*T1^5*T2^9 - 1361*T1^6*T2^9 - 
      2376*T1^7*T2^9 + 6446*T1^8*T2^9 - 4331*T1^9*T2^9 + 628*T1^10*T2^9 + 
      1093*T1^11*T2^9 - 409*T1^12*T2^9 + 110*T1^4*T2^10 - 91*T1^5*T2^10 - 
      1127*T1^6*T2^10 + 2828*T1^7*T2^10 - 3127*T1^8*T2^10 + 628*T1^9*T2^10 + 
      1173*T1^10*T2^10 - 1191*T1^11*T2^10 + 310*T1^12*T2^10 - 93*T1^5*T2^11 + 
      372*T1^6*T2^11 - 399*T1^7*T2^11 - 183*T1^8*T2^11 + 1093*T1^9*T2^11 - 
      1191*T1^10*T2^11 + 658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 
      137*T1^7*T2^12 + 310*T1^8*T2^12 - 409*T1^9*T2^12 + 310*T1^10*T2^12 - 
      137*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 57] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-3 + 12*T1 - 21*T1^2 + 27*T1^3 - 21*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
       41*T1*T2 + 56*T1^2*T2 - 59*T1^3*T2 + 21*T1^4*T2 + T1^5*T2 - 
       16*T1^6*T2 + 7*T1^7*T2 - 21*T2^2 + 56*T1*T2^2 - 37*T1^2*T2^2 + 
       5*T1^3*T2^2 + 85*T1^4*T2^2 - 90*T1^5*T2^2 + 77*T1^6*T2^2 - 
       20*T1^7*T2^2 - 2*T1^8*T2^2 + 27*T2^3 - 59*T1*T2^3 + 5*T1^2*T2^3 + 
       39*T1^3*T2^3 - 152*T1^4*T2^3 + 108*T1^5*T2^3 - 52*T1^6*T2^3 - 
       42*T1^7*T2^3 + 44*T1^8*T2^3 - 9*T1^9*T2^3 - 21*T2^4 + 21*T1*T2^4 + 
       85*T1^2*T2^4 - 152*T1^3*T2^4 + 257*T1^4*T2^4 - 118*T1^5*T2^4 - 
       16*T1^6*T2^4 + 109*T1^7*T2^4 - 52*T1^8*T2^4 - 28*T1^9*T2^4 + 
       16*T1^10*T2^4 + 12*T2^5 + T1*T2^5 - 90*T1^2*T2^5 + 108*T1^3*T2^5 - 
       118*T1^4*T2^5 - 55*T1^5*T2^5 + 133*T1^6*T2^5 - 68*T1^7*T2^5 - 
       35*T1^8*T2^5 + 92*T1^9*T2^5 - 4*T1^10*T2^5 - 15*T1^11*T2^5 - 3*T2^6 - 
       16*T1*T2^6 + 77*T1^2*T2^6 - 52*T1^3*T2^6 - 16*T1^4*T2^6 + 
       133*T1^5*T2^6 - 156*T1^6*T2^6 - T1^7*T2^6 + 4*T1^8*T2^6 - 
       12*T1^9*T2^6 - 93*T1^10*T2^6 + 40*T1^11*T2^6 + 5*T1^12*T2^6 + 
       7*T1*T2^7 - 20*T1^2*T2^7 - 42*T1^3*T2^7 + 109*T1^4*T2^7 - 
       68*T1^5*T2^7 - T1^6*T2^7 + 187*T1^7*T2^7 - 18*T1^8*T2^7 - 
       34*T1^9*T2^7 + 140*T1^10*T2^7 - 25*T1^11*T2^7 - 20*T1^12*T2^7 - 
       2*T1^2*T2^8 + 44*T1^3*T2^8 - 52*T1^4*T2^8 - 35*T1^5*T2^8 + 
       4*T1^6*T2^8 - 18*T1^7*T2^8 - 269*T1^8*T2^8 + 226*T1^9*T2^8 - 
       189*T1^10*T2^8 - 5*T1^11*T2^8 + 35*T1^12*T2^8 - 9*T1^3*T2^9 - 
       28*T1^4*T2^9 + 92*T1^5*T2^9 - 12*T1^6*T2^9 - 34*T1^7*T2^9 + 
       226*T1^8*T2^9 - 103*T1^9*T2^9 + 45*T1^10*T2^9 + 75*T1^11*T2^9 - 
       45*T1^12*T2^9 + 16*T1^4*T2^10 - 4*T1^5*T2^10 - 93*T1^6*T2^10 + 
       140*T1^7*T2^10 - 189*T1^8*T2^10 + 45*T1^9*T2^10 + 21*T1^10*T2^10 - 
       80*T1^11*T2^10 + 35*T1^12*T2^10 - 15*T1^5*T2^11 + 40*T1^6*T2^11 - 
       25*T1^7*T2^11 - 5*T1^8*T2^11 + 75*T1^9*T2^11 - 80*T1^10*T2^11 + 
       65*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 20*T1^7*T2^12 + 
       35*T1^8*T2^12 - 45*T1^9*T2^12 + 35*T1^10*T2^12 - 20*T1^11*T2^12 + 
       5*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 58] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-23 + 103*T1 - 206*T1^2 + 263*T1^3 - 206*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 394*T1*T2 + 623*T1^2*T2 - 579*T1^3*T2 + 159*T1^4*T2 + 
      137*T1^5*T2 - 196*T1^6*T2 + 67*T1^7*T2 - 206*T2^2 + 623*T1*T2^2 - 
      572*T1^2*T2^2 - 32*T1^3*T2^2 + 996*T1^4*T2^2 - 1040*T1^5*T2^2 + 
      580*T1^6*T2^2 - 25*T1^7*T2^2 - 62*T1^8*T2^2 + 263*T2^3 - 579*T1*T2^3 - 
      32*T1^2*T2^3 + 1060*T1^3*T2^3 - 1933*T1^4*T2^3 + 983*T1^5*T2^3 + 
      136*T1^6*T2^3 - 734*T1^7*T2^3 + 339*T1^8*T2^3 - 13*T1^9*T2^3 - 
      206*T2^4 + 159*T1*T2^4 + 996*T1^2*T2^4 - 1933*T1^3*T2^4 + 
      1896*T1^4*T2^4 + 284*T1^5*T2^4 - 1596*T1^6*T2^4 + 1379*T1^7*T2^4 - 
      138*T1^8*T2^4 - 309*T1^9*T2^4 + 82*T1^10*T2^4 + 103*T2^5 + 
      137*T1*T2^5 - 1040*T1^2*T2^5 + 983*T1^3*T2^5 + 284*T1^4*T2^5 - 
      2464*T1^5*T2^5 + 2378*T1^6*T2^5 - 364*T1^7*T2^5 - 1141*T1^8*T2^5 + 
      886*T1^9*T2^5 - 25*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 196*T1*T2^6 + 
      580*T1^2*T2^6 + 136*T1^3*T2^6 - 1596*T1^4*T2^6 + 2378*T1^5*T2^6 - 
      816*T1^6*T2^6 - 1726*T1^7*T2^6 + 1752*T1^8*T2^6 - 416*T1^9*T2^6 - 
      608*T1^10*T2^6 + 236*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 - 
      25*T1^2*T2^7 - 734*T1^3*T2^7 + 1379*T1^4*T2^7 - 364*T1^5*T2^7 - 
      1726*T1^6*T2^7 + 3116*T1^7*T2^7 - 1012*T1^8*T2^7 - 745*T1^9*T2^7 + 
      1192*T1^10*T2^7 - 187*T1^11*T2^7 - 113*T1^12*T2^7 - 62*T1^2*T2^8 + 
      339*T1^3*T2^8 - 138*T1^4*T2^8 - 1141*T1^5*T2^8 + 1752*T1^6*T2^8 - 
      1012*T1^7*T2^8 - 1740*T1^8*T2^8 + 2171*T1^9*T2^8 - 1272*T1^10*T2^8 - 
      129*T1^11*T2^8 + 226*T1^12*T2^8 - 13*T1^3*T2^9 - 309*T1^4*T2^9 + 
      886*T1^5*T2^9 - 416*T1^6*T2^9 - 745*T1^7*T2^9 + 2171*T1^8*T2^9 - 
      1340*T1^9*T2^9 + 184*T1^10*T2^9 + 609*T1^11*T2^9 - 289*T1^12*T2^9 + 
      82*T1^4*T2^10 - 25*T1^5*T2^10 - 608*T1^6*T2^10 + 1192*T1^7*T2^10 - 
      1272*T1^8*T2^10 + 184*T1^9*T2^10 + 544*T1^10*T2^10 - 673*T1^11*T2^10 + 
      226*T1^12*T2^10 - 77*T1^5*T2^11 + 236*T1^6*T2^11 - 187*T1^7*T2^11 - 
      129*T1^8*T2^11 + 609*T1^9*T2^11 - 673*T1^10*T2^11 + 434*T1^11*T2^11 - 
      113*T1^12*T2^11 + 25*T1^6*T2^12 - 113*T1^7*T2^12 + 226*T1^8*T2^12 - 
      289*T1^9*T2^12 + 226*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 59] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   -((-72 + 260*T1 - 354*T1^2 + 260*T1^3 - 72*T1^4 + 260*T2 - 775*T1*T2 + 
      701*T1^2*T2 - 157*T1^3*T2 - 313*T1^4*T2 + 161*T1^5*T2 - 354*T2^2 + 
      701*T1*T2^2 + 230*T1^2*T2^2 - 1248*T1^3*T2^2 + 1310*T1^4*T2^2 - 
      289*T1^5*T2^2 - 84*T1^6*T2^2 + 260*T2^3 - 157*T1*T2^3 - 
      1248*T1^2*T2^3 + 1906*T1^3*T2^3 - 998*T1^4*T2^3 - 423*T1^5*T2^3 + 
      437*T1^6*T2^3 - 37*T1^7*T2^3 - 72*T2^4 - 313*T1*T2^4 + 1310*T1^2*T2^4 - 
      998*T1^3*T2^4 - 624*T1^4*T2^4 + 1510*T1^5*T2^4 - 812*T1^6*T2^4 + 
      17*T1^7*T2^4 + 36*T1^8*T2^4 + 161*T1*T2^5 - 289*T1^2*T2^5 - 
      423*T1^3*T2^5 + 1510*T1^4*T2^5 - 1394*T1^5*T2^5 + 402*T1^6*T2^5 + 
      305*T1^7*T2^5 - 136*T1^8*T2^5 - 84*T1^2*T2^6 + 437*T1^3*T2^6 - 
      812*T1^4*T2^6 + 402*T1^5*T2^6 + 268*T1^6*T2^6 - 553*T1^7*T2^6 + 
      186*T1^8*T2^6 - 37*T1^3*T2^7 + 17*T1^4*T2^7 + 305*T1^5*T2^7 - 
      553*T1^6*T2^7 + 479*T1^7*T2^7 - 136*T1^8*T2^7 + 36*T1^4*T2^8 - 
      136*T1^5*T2^8 + 186*T1^6*T2^8 - 136*T1^7*T2^8 + 36*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 60] -> 
  {-((3 - 12*T + 18*T^2 - 19*T^3 + 18*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-138 + 552*T1 - 824*T1^2 + 868*T1^3 - 824*T1^4 + 552*T1^5 - 138*T1^6 + 
      552*T2 - 1766*T1*T2 + 1525*T1^2*T2 - 826*T1^3*T2 + 506*T1^4*T2 + 
      445*T1^5*T2 - 1226*T1^6*T2 + 444*T1^7*T2 - 824*T2^2 + 1525*T1*T2^2 + 
      1692*T1^2*T2^2 - 3508*T1^3*T2^2 + 3402*T1^4*T2^2 - 4264*T1^5*T2^2 + 
      3312*T1^6*T2^2 + 229*T1^7*T2^2 - 500*T1^8*T2^2 + 868*T2^3 - 
      826*T1*T2^3 - 3508*T1^2*T2^3 + 3035*T1^3*T2^3 - 1147*T1^4*T2^3 + 
      1715*T1^5*T2^3 + 317*T1^6*T2^3 - 3346*T1^7*T2^3 + 578*T1^8*T2^3 + 
      355*T1^9*T2^3 - 824*T2^4 + 506*T1*T2^4 + 3402*T1^2*T2^4 - 
      1147*T1^3*T2^4 - 369*T1^4*T2^4 - 1171*T1^5*T2^4 - 321*T1^6*T2^4 + 
      1589*T1^7*T2^4 + 1818*T1^8*T2^4 - 718*T1^9*T2^4 - 176*T1^10*T2^4 + 
      552*T2^5 + 445*T1*T2^5 - 4264*T1^2*T2^5 + 1715*T1^3*T2^5 - 
      1171*T1^4*T2^5 + 3008*T1^5*T2^5 - 1078*T1^6*T2^5 - 415*T1^7*T2^5 - 
      1399*T1^8*T2^5 - 754*T1^9*T2^5 + 661*T1^10*T2^5 + 12*T1^11*T2^5 - 
      138*T2^6 - 1226*T1*T2^6 + 3312*T1^2*T2^6 + 317*T1^3*T2^6 - 
      321*T1^4*T2^6 - 1078*T1^5*T2^6 - 1512*T1^6*T2^6 + 2378*T1^7*T2^6 - 
      573*T1^8*T2^6 + 1883*T1^9*T2^6 - 684*T1^10*T2^6 - 146*T1^11*T2^6 + 
      24*T1^12*T2^6 + 444*T1*T2^7 + 229*T1^2*T2^7 - 3346*T1^3*T2^7 + 
      1589*T1^4*T2^7 - 415*T1^5*T2^7 + 2378*T1^6*T2^7 - 1708*T1^7*T2^7 + 
      341*T1^8*T2^7 - 1525*T1^9*T2^7 + 164*T1^10*T2^7 + 445*T1^11*T2^7 - 
      96*T1^12*T2^7 - 500*T1^2*T2^8 + 578*T1^3*T2^8 + 1818*T1^4*T2^8 - 
      1399*T1^5*T2^8 - 573*T1^6*T2^8 + 341*T1^7*T2^8 - 525*T1^8*T2^8 + 
      1337*T1^9*T2^8 + 234*T1^10*T2^8 - 646*T1^11*T2^8 + 148*T1^12*T2^8 + 
      355*T1^3*T2^9 - 718*T1^4*T2^9 - 754*T1^5*T2^9 + 1883*T1^6*T2^9 - 
      1525*T1^7*T2^9 + 1337*T1^8*T2^9 - 835*T1^9*T2^9 - 592*T1^10*T2^9 + 
      686*T1^11*T2^9 - 158*T1^12*T2^9 - 176*T1^4*T2^10 + 661*T1^5*T2^10 - 
      684*T1^6*T2^10 + 164*T1^7*T2^10 + 234*T1^8*T2^10 - 592*T1^9*T2^10 + 
      936*T1^10*T2^10 - 635*T1^11*T2^10 + 148*T1^12*T2^10 + 12*T1^5*T2^11 - 
      146*T1^6*T2^11 + 445*T1^7*T2^11 - 646*T1^8*T2^11 + 686*T1^9*T2^11 - 
      635*T1^10*T2^11 + 394*T1^11*T2^11 - 96*T1^12*T2^11 + 24*T1^6*T2^12 - 
      96*T1^7*T2^12 + 148*T1^8*T2^12 - 158*T1^9*T2^12 + 148*T1^10*T2^12 - 
      96*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 61] -> {-((6 - 26*T + 39*T^2 - 26*T^3 + 6*T^4)/T^2), 
   -((-699 + 3028*T1 - 4529*T1^2 + 3028*T1^3 - 699*T1^4 + 3028*T2 - 
      11034*T1*T2 + 10572*T1^2*T2 + 432*T1^3*T2 - 6042*T1^4*T2 + 
      2092*T1^5*T2 - 4529*T2^2 + 10572*T1*T2^2 + 8143*T1^2*T2^2 - 
      31591*T1^3*T2^2 + 23587*T1^4*T2^2 - 1596*T1^5*T2^2 - 1721*T1^6*T2^2 + 
      3028*T2^3 + 432*T1*T2^3 - 31591*T1^2*T2^3 + 42562*T1^3*T2^3 - 
      8372*T1^4*T2^3 - 17395*T1^5*T2^3 + 6516*T1^6*T2^3 + 220*T1^7*T2^3 - 
      699*T2^4 - 6042*T1*T2^4 + 23587*T1^2*T2^4 - 8372*T1^3*T2^4 - 
      29244*T1^4*T2^4 + 32500*T1^5*T2^4 - 5949*T1^6*T2^4 - 1674*T1^7*T2^4 + 
      165*T1^8*T2^4 + 2092*T1*T2^5 - 1596*T1^2*T2^5 - 17395*T1^3*T2^5 + 
      32500*T1^4*T2^5 - 18434*T1^5*T2^5 - 3199*T1^6*T2^5 + 4488*T1^7*T2^5 - 
      716*T1^8*T2^5 - 1721*T1^2*T2^6 + 6516*T1^3*T2^6 - 5949*T1^4*T2^6 - 
      3199*T1^5*T2^6 + 9495*T1^6*T2^6 - 5652*T1^7*T2^6 + 1087*T1^8*T2^6 + 
      220*T1^3*T2^7 - 1674*T1^4*T2^7 + 4488*T1^5*T2^7 - 5652*T1^6*T2^7 + 
      3318*T1^7*T2^7 - 716*T1^8*T2^7 + 165*T1^4*T2^8 - 716*T1^5*T2^8 + 
      1087*T1^6*T2^8 - 716*T1^7*T2^8 + 165*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 62] -> 
  {-((1 - 5*T + 8*T^2 - 9*T^3 + 9*T^4 - 9*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4), 
   -((-1 + 5*T1 - 8*T1^2 + 9*T1^3 - 9*T1^4 + 9*T1^5 - 8*T1^6 + 5*T1^7 - 
      T1^8 + 5*T2 - 25*T1*T2 + 40*T1^2*T2 - 45*T1^3*T2 + 45*T1^4*T2 - 
      45*T1^5*T2 + 40*T1^6*T2 - 25*T1^7*T2 + 5*T1^8*T2 - 8*T2^2 + 
      40*T1*T2^2 - 52*T1^2*T2^2 + 27*T1^3*T2^2 - 3*T1^4*T2^2 - 4*T1^5*T2^2 + 
      13*T1^6*T2^2 - 37*T1^7*T2^2 + 60*T1^8*T2^2 - 40*T1^9*T2^2 + 
      8*T1^10*T2^2 + 9*T2^3 - 45*T1*T2^3 + 27*T1^2*T2^3 + 87*T1^3*T2^3 - 
      138*T1^4*T2^3 + 130*T1^5*T2^3 - 131*T1^6*T2^3 + 164*T1^7*T2^3 - 
      163*T1^8*T2^3 + 51*T1^9*T2^3 + 50*T1^10*T2^3 - 18*T1^11*T2^3 - 9*T2^4 + 
      45*T1*T2^4 - 3*T1^2*T2^4 - 138*T1^3*T2^4 + 78*T1^4*T2^4 - 
      13*T1^5*T2^4 + 24*T1^6*T2^4 - 67*T1^7*T2^4 + 6*T1^8*T2^4 + 
      168*T1^9*T2^4 - 165*T1^10*T2^4 - 45*T1^11*T2^4 + 27*T1^12*T2^4 + 
      9*T2^5 - 45*T1*T2^5 - 4*T1^2*T2^5 + 130*T1^3*T2^5 - 13*T1^4*T2^5 + 
      88*T1^5*T2^5 - 187*T1^6*T2^5 + 227*T1^7*T2^5 - 128*T1^8*T2^5 - 
      4*T1^9*T2^5 - 113*T1^10*T2^5 + 239*T1^11*T2^5 + 45*T1^12*T2^5 - 
      36*T1^13*T2^5 - 8*T2^6 + 40*T1*T2^6 + 13*T1^2*T2^6 - 131*T1^3*T2^6 + 
      24*T1^4*T2^6 - 187*T1^5*T2^6 + 127*T1^6*T2^6 - 39*T1^7*T2^6 - 
      113*T1^8*T2^6 + 245*T1^9*T2^6 - 156*T1^10*T2^6 + 157*T1^11*T2^6 - 
      359*T1^12*T2^6 - 20*T1^13*T2^6 + 40*T1^14*T2^6 + 5*T2^7 - 25*T1*T2^7 - 
      37*T1^2*T2^7 + 164*T1^3*T2^7 - 67*T1^4*T2^7 + 227*T1^5*T2^7 - 
      39*T1^6*T2^7 + 96*T1^7*T2^7 - 80*T1^8*T2^7 + 34*T1^9*T2^7 - 
      151*T1^10*T2^7 + 176*T1^11*T2^7 - 122*T1^12*T2^7 + 467*T1^13*T2^7 - 
      50*T1^14*T2^7 - 30*T1^15*T2^7 - T2^8 + 5*T1*T2^8 + 60*T1^2*T2^8 - 
      163*T1^3*T2^8 + 6*T1^4*T2^8 - 128*T1^5*T2^8 - 113*T1^6*T2^8 - 
      80*T1^7*T2^8 + 12*T1^8*T2^8 + 68*T1^9*T2^8 + T1^10*T2^8 - 
      20*T1^11*T2^8 - 34*T1^12*T2^8 - 153*T1^13*T2^8 - 370*T1^14*T2^8 + 
      115*T1^15*T2^8 + 7*T1^16*T2^8 - 40*T1^2*T2^9 + 51*T1^3*T2^9 + 
      168*T1^4*T2^9 - 4*T1^5*T2^9 + 245*T1^6*T2^9 + 34*T1^7*T2^9 + 
      68*T1^8*T2^9 - 108*T1^9*T2^9 + 107*T1^10*T2^9 - 133*T1^11*T2^9 + 
      239*T1^12*T2^9 - 118*T1^13*T2^9 + 555*T1^14*T2^9 - 65*T1^15*T2^9 - 
      35*T1^16*T2^9 + 8*T1^2*T2^10 + 50*T1^3*T2^10 - 165*T1^4*T2^10 - 
      113*T1^5*T2^10 - 156*T1^6*T2^10 - 151*T1^7*T2^10 + T1^8*T2^10 + 
      107*T1^9*T2^10 - 239*T1^10*T2^10 + 281*T1^11*T2^10 - 336*T1^12*T2^10 + 
      175*T1^13*T2^10 - 537*T1^14*T2^10 - 10*T1^15*T2^10 + 56*T1^16*T2^10 - 
      18*T1^3*T2^11 - 45*T1^4*T2^11 + 239*T1^5*T2^11 + 157*T1^6*T2^11 + 
      176*T1^7*T2^11 - 20*T1^8*T2^11 - 133*T1^9*T2^11 + 281*T1^10*T2^11 - 
      236*T1^11*T2^11 + 185*T1^12*T2^11 - 86*T1^13*T2^11 + 482*T1^14*T2^11 + 
      45*T1^15*T2^11 - 63*T1^16*T2^11 + 27*T1^4*T2^12 + 45*T1^5*T2^12 - 
      359*T1^6*T2^12 - 122*T1^7*T2^12 - 34*T1^8*T2^12 + 239*T1^9*T2^12 - 
      336*T1^10*T2^12 + 185*T1^11*T2^12 - 106*T1^12*T2^12 + 184*T1^13*T2^12 - 
      521*T1^14*T2^12 - 45*T1^15*T2^12 + 63*T1^16*T2^12 - 36*T1^5*T2^13 - 
      20*T1^6*T2^13 + 467*T1^7*T2^13 - 153*T1^8*T2^13 - 118*T1^9*T2^13 + 
      175*T1^10*T2^13 - 86*T1^11*T2^13 + 184*T1^12*T2^13 - 403*T1^13*T2^13 + 
      491*T1^14*T2^13 + 75*T1^15*T2^13 - 63*T1^16*T2^13 + 40*T1^6*T2^14 - 
      50*T1^7*T2^14 - 370*T1^8*T2^14 + 555*T1^9*T2^14 - 537*T1^10*T2^14 + 
      482*T1^11*T2^14 - 521*T1^12*T2^14 + 491*T1^13*T2^14 - 258*T1^14*T2^14 - 
      130*T1^15*T2^14 + 56*T1^16*T2^14 - 30*T1^7*T2^15 + 115*T1^8*T2^15 - 
      65*T1^9*T2^15 - 10*T1^10*T2^15 + 45*T1^11*T2^15 - 45*T1^12*T2^15 + 
      75*T1^13*T2^15 - 130*T1^14*T2^15 + 145*T1^15*T2^15 - 35*T1^16*T2^15 + 
      7*T1^8*T2^16 - 35*T1^9*T2^16 + 56*T1^10*T2^16 - 63*T1^11*T2^16 + 
      63*T1^12*T2^16 - 63*T1^13*T2^16 + 56*T1^14*T2^16 - 35*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 63] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-7 + 39*T1 - 76*T1^2 + 91*T1^3 - 76*T1^4 + 39*T1^5 - 7*T1^6 + 39*T2 - 
      222*T1*T2 + 447*T1^2*T2 - 545*T1^3*T2 + 467*T1^4*T2 - 257*T1^5*T2 + 
      64*T1^6*T2 - 5*T1^7*T2 - 76*T2^2 + 447*T1*T2^2 - 819*T1^2*T2^2 + 
      616*T1^3*T2^2 - 25*T1^4*T2^2 - 560*T1^5*T2^2 + 777*T1^6*T2^2 - 
      477*T1^7*T2^2 + 92*T1^8*T2^2 + 91*T2^3 - 545*T1*T2^3 + 616*T1^2*T2^3 + 
      1001*T1^3*T2^3 - 2644*T1^4*T2^3 + 3182*T1^5*T2^3 - 2341*T1^6*T2^3 + 
      469*T1^7*T2^3 + 643*T1^8*T2^3 - 209*T1^9*T2^3 - 76*T2^4 + 467*T1*T2^4 - 
      25*T1^2*T2^4 - 2644*T1^3*T2^4 + 3096*T1^4*T2^4 - 1316*T1^5*T2^4 - 
      1412*T1^6*T2^4 + 3606*T1^7*T2^4 - 2547*T1^8*T2^4 - 281*T1^9*T2^4 + 
      260*T1^10*T2^4 + 39*T2^5 - 257*T1*T2^5 - 560*T1^2*T2^5 + 
      3182*T1^3*T2^5 - 1316*T1^4*T2^5 - 1104*T1^5*T2^5 + 2300*T1^6*T2^5 - 
      1715*T1^7*T2^5 - 1796*T1^8*T2^5 + 3703*T1^9*T2^5 - 433*T1^10*T2^5 - 
      181*T1^11*T2^5 - 7*T2^6 + 64*T1*T2^6 + 777*T1^2*T2^6 - 2341*T1^3*T2^6 - 
      1412*T1^4*T2^6 + 2300*T1^5*T2^6 - 972*T1^6*T2^6 - 1116*T1^7*T2^6 + 
      3750*T1^8*T2^6 - 2479*T1^9*T2^6 - 2279*T1^10*T2^6 + 768*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 477*T1^2*T2^7 + 469*T1^3*T2^7 + 
      3606*T1^4*T2^7 - 1715*T1^5*T2^7 - 1116*T1^6*T2^7 + 2288*T1^7*T2^7 - 
      2114*T1^8*T2^7 - 1372*T1^9*T2^7 + 4732*T1^10*T2^7 - 653*T1^11*T2^7 - 
      225*T1^12*T2^7 + 92*T1^2*T2^8 + 643*T1^3*T2^8 - 2547*T1^4*T2^8 - 
      1796*T1^5*T2^8 + 3750*T1^6*T2^8 - 2114*T1^7*T2^8 - 758*T1^8*T2^8 + 
      4454*T1^9*T2^8 - 5069*T1^10*T2^8 - 105*T1^11*T2^8 + 428*T1^12*T2^8 - 
      209*T1^3*T2^9 - 281*T1^4*T2^9 + 3703*T1^5*T2^9 - 2479*T1^6*T2^9 - 
      1372*T1^7*T2^9 + 4454*T1^8*T2^9 - 5821*T1^9*T2^9 + 3556*T1^10*T2^9 + 
      907*T1^11*T2^9 - 509*T1^12*T2^9 + 260*T1^4*T2^10 - 433*T1^5*T2^10 - 
      2279*T1^6*T2^10 + 4732*T1^7*T2^10 - 5069*T1^8*T2^10 + 3556*T1^9*T2^10 - 
      683*T1^10*T2^10 - 1357*T1^11*T2^10 + 428*T1^12*T2^10 - 181*T1^5*T2^11 + 
      768*T1^6*T2^11 - 653*T1^7*T2^11 - 105*T1^8*T2^11 + 907*T1^9*T2^11 - 
      1357*T1^10*T2^11 + 1054*T1^11*T2^11 - 225*T1^12*T2^11 + 41*T1^6*T2^12 - 
      225*T1^7*T2^12 + 428*T1^8*T2^12 - 509*T1^9*T2^12 + 428*T1^10*T2^12 - 
      225*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 64] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-7 + 39*T1 - 80*T1^2 + 99*T1^3 - 80*T1^4 + 39*T1^5 - 7*T1^6 + 39*T2 - 
      222*T1*T2 + 469*T1^2*T2 - 589*T1^3*T2 + 489*T1^4*T2 - 257*T1^5*T2 + 
      64*T1^6*T2 - 5*T1^7*T2 - 80*T2^2 + 469*T1*T2^2 - 925*T1^2*T2^2 + 
      794*T1^3*T2^2 - 107*T1^4*T2^2 - 614*T1^5*T2^2 + 835*T1^6*T2^2 - 
      499*T1^7*T2^2 + 96*T1^8*T2^2 + 99*T2^3 - 589*T1*T2^3 + 794*T1^2*T2^3 + 
      826*T1^3*T2^3 - 2861*T1^4*T2^3 + 3651*T1^5*T2^3 - 2462*T1^6*T2^3 + 
      376*T1^7*T2^3 + 709*T1^8*T2^3 - 225*T1^9*T2^3 - 80*T2^4 + 489*T1*T2^4 - 
      107*T1^2*T2^4 - 2861*T1^3*T2^4 + 3876*T1^4*T2^4 - 1798*T1^5*T2^4 - 
      2108*T1^6*T2^4 + 4267*T1^7*T2^4 - 2769*T1^8*T2^4 - 259*T1^9*T2^4 + 
      272*T1^10*T2^4 + 39*T2^5 - 257*T1*T2^5 - 614*T1^2*T2^5 + 
      3651*T1^3*T2^5 - 1798*T1^4*T2^5 - 1994*T1^5*T2^5 + 4584*T1^6*T2^5 - 
      2766*T1^7*T2^5 - 1629*T1^8*T2^5 + 3764*T1^9*T2^5 - 499*T1^10*T2^5 - 
      181*T1^11*T2^5 - 7*T2^6 + 64*T1*T2^6 + 835*T1^2*T2^6 - 2462*T1^3*T2^6 - 
      2108*T1^4*T2^6 + 4584*T1^5*T2^6 - 3324*T1^6*T2^6 - 1488*T1^7*T2^6 + 
      4712*T1^8*T2^6 - 3110*T1^9*T2^6 - 2025*T1^10*T2^6 + 768*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 499*T1^2*T2^7 + 376*T1^3*T2^7 + 
      4267*T1^4*T2^7 - 2766*T1^5*T2^7 - 1488*T1^6*T2^7 + 5090*T1^7*T2^7 - 
      3734*T1^8*T2^7 - 1013*T1^9*T2^7 + 4754*T1^10*T2^7 - 741*T1^11*T2^7 - 
      225*T1^12*T2^7 + 96*T1^2*T2^8 + 709*T1^3*T2^8 - 2769*T1^4*T2^8 - 
      1629*T1^5*T2^8 + 4712*T1^6*T2^8 - 3734*T1^7*T2^8 - 1272*T1^8*T2^8 + 
      5499*T1^9*T2^8 - 5431*T1^10*T2^8 - 39*T1^11*T2^8 + 448*T1^12*T2^8 - 
      225*T1^3*T2^9 - 259*T1^4*T2^9 + 3764*T1^5*T2^9 - 3110*T1^6*T2^9 - 
      1013*T1^7*T2^9 + 5499*T1^8*T2^9 - 6398*T1^9*T2^9 + 3346*T1^10*T2^9 + 
      1039*T1^11*T2^9 - 549*T1^12*T2^9 + 272*T1^4*T2^10 - 499*T1^5*T2^10 - 
      2025*T1^6*T2^10 + 4754*T1^7*T2^10 - 5431*T1^8*T2^10 + 3346*T1^9*T2^10 - 
      265*T1^10*T2^10 - 1467*T1^11*T2^10 + 448*T1^12*T2^10 - 181*T1^5*T2^11 + 
      768*T1^6*T2^11 - 741*T1^7*T2^11 - 39*T1^8*T2^11 + 1039*T1^9*T2^11 - 
      1467*T1^10*T2^11 + 1054*T1^11*T2^11 - 225*T1^12*T2^11 + 41*T1^6*T2^12 - 
      225*T1^7*T2^12 + 448*T1^8*T2^12 - 549*T1^9*T2^12 + 448*T1^10*T2^12 - 
      225*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 65] -> {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   -((-18 + 90*T1 - 140*T1^2 + 90*T1^3 - 18*T1^4 + 90*T2 - 495*T1*T2 + 
      925*T1^2*T2 - 785*T1^3*T2 + 315*T1^4*T2 - 45*T1^5*T2 - 140*T2^2 + 
      925*T1*T2^2 - 1906*T1^2*T2^2 + 948*T1^3*T2^2 + 854*T1^4*T2^2 - 
      1145*T1^5*T2^2 + 274*T1^6*T2^2 + 90*T2^3 - 785*T1*T2^3 + 
      948*T1^2*T2^3 + 3626*T1^3*T2^3 - 7054*T1^4*T2^3 + 4053*T1^5*T2^3 + 
      205*T1^6*T2^3 - 315*T1^7*T2^3 - 18*T2^4 + 315*T1*T2^4 + 854*T1^2*T2^4 - 
      7054*T1^3*T2^4 + 6888*T1^4*T2^4 + 1406*T1^5*T2^4 - 5068*T1^6*T2^4 + 
      1125*T1^7*T2^4 + 90*T1^8*T2^4 - 45*T1*T2^5 - 1145*T1^2*T2^5 + 
      4053*T1^3*T2^5 + 1406*T1^4*T2^5 - 9274*T1^5*T2^5 + 7158*T1^6*T2^5 - 
      155*T1^7*T2^5 - 450*T1^8*T2^5 + 274*T1^2*T2^6 + 205*T1^3*T2^6 - 
      5068*T1^4*T2^6 + 7158*T1^5*T2^6 - 2308*T1^6*T2^6 - 1865*T1^7*T2^6 + 
      688*T1^8*T2^6 - 315*T1^3*T2^7 + 1125*T1^4*T2^7 - 155*T1^5*T2^7 - 
      1865*T1^6*T2^7 + 1935*T1^7*T2^7 - 450*T1^8*T2^7 + 90*T1^4*T2^8 - 
      450*T1^5*T2^8 + 688*T1^6*T2^8 - 450*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 66] -> 
  {-((1 - 6*T + 15*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 45*T1^2 + 72*T1^3 - 81*T1^4 + 72*T1^5 - 45*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 198*T1^2*T2 - 252*T1^3*T2 + 
      198*T1^4*T2 - 108*T1^5*T2 - 18*T1^6*T2 + 72*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 45*T2^2 + 198*T1*T2^2 - 258*T1^2*T2^2 + 91*T1^3*T2^2 + 
      283*T1^4*T2^2 - 496*T1^5*T2^2 + 643*T1^6*T2^2 - 449*T1^7*T2^2 + 
      162*T1^8*T2^2 + 18*T1^9*T2^2 - 15*T1^10*T2^2 + 72*T2^3 - 252*T1*T2^3 + 
      91*T1^2*T2^3 + 422*T1^3*T2^3 - 996*T1^4*T2^3 + 950*T1^5*T2^3 - 
      832*T1^6*T2^3 + 138*T1^7*T2^3 + 332*T1^8*T2^3 - 359*T1^9*T2^3 + 
      90*T1^10*T2^3 - 81*T2^4 + 198*T1*T2^4 + 283*T1^2*T2^4 - 996*T1^3*T2^4 + 
      1343*T1^4*T2^4 - 670*T1^5*T2^4 + 223*T1^6*T2^4 + 842*T1^7*T2^4 - 
      1033*T1^8*T2^4 + 444*T1^9*T2^4 + 175*T1^10*T2^4 - 162*T1^11*T2^4 + 
      27*T1^12*T2^4 + 72*T2^5 - 108*T1*T2^5 - 496*T1^2*T2^5 + 950*T1^3*T2^5 - 
      670*T1^4*T2^5 - 424*T1^5*T2^5 + 637*T1^6*T2^5 - 1289*T1^7*T2^5 + 
      578*T1^8*T2^5 + 680*T1^9*T2^5 - 940*T1^10*T2^5 + 260*T1^11*T2^5 + 
      126*T1^12*T2^5 - 48*T1^13*T2^5 - 45*T2^6 - 18*T1*T2^6 + 643*T1^2*T2^6 - 
      832*T1^3*T2^6 + 223*T1^4*T2^6 + 637*T1^5*T2^6 - 434*T1^6*T2^6 + 
      738*T1^7*T2^6 + 178*T1^8*T2^6 - 1127*T1^9*T2^6 + 169*T1^10*T2^6 + 
      788*T1^11*T2^6 - 653*T1^12*T2^6 + 18*T1^13*T2^6 + 45*T1^14*T2^6 + 
      18*T2^7 + 72*T1*T2^7 - 449*T1^2*T2^7 + 138*T1^3*T2^7 + 842*T1^4*T2^7 - 
      1289*T1^5*T2^7 + 738*T1^6*T2^7 - 426*T1^7*T2^7 - 510*T1^8*T2^7 + 
      990*T1^9*T2^7 + 961*T1^10*T2^7 - 1156*T1^11*T2^7 + 228*T1^12*T2^7 + 
      541*T1^13*T2^7 - 126*T1^14*T2^7 - 24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 
      162*T1^2*T2^8 + 332*T1^3*T2^8 - 1033*T1^4*T2^8 + 578*T1^5*T2^8 + 
      178*T1^6*T2^8 - 510*T1^7*T2^8 + 264*T1^8*T2^8 + 90*T1^9*T2^8 - 
      2222*T1^10*T2^8 + 746*T1^11*T2^8 + 587*T1^12*T2^8 - 868*T1^13*T2^8 - 
      114*T1^14*T2^8 + 114*T1^15*T2^8 + 5*T1^16*T2^8 + 12*T1*T2^9 + 
      18*T1^2*T2^9 - 359*T1^3*T2^9 + 444*T1^4*T2^9 + 680*T1^5*T2^9 - 
      1127*T1^6*T2^9 + 990*T1^7*T2^9 + 90*T1^8*T2^9 + 6*T1^9*T2^9 + 
      1242*T1^10*T2^9 + 1123*T1^11*T2^9 - 1318*T1^12*T2^9 + 534*T1^13*T2^9 + 
      631*T1^14*T2^9 - 180*T1^15*T2^9 - 30*T1^16*T2^9 - 15*T1^2*T2^10 + 
      90*T1^3*T2^10 + 175*T1^4*T2^10 - 940*T1^5*T2^10 + 169*T1^6*T2^10 + 
      961*T1^7*T2^10 - 2222*T1^8*T2^10 + 1242*T1^9*T2^10 - 1610*T1^10*T2^10 - 
      803*T1^11*T2^10 + 115*T1^12*T2^10 + 680*T1^13*T2^10 - 
      1121*T1^14*T2^10 + 126*T1^15*T2^10 + 75*T1^16*T2^10 - 162*T1^4*T2^11 + 
      260*T1^5*T2^11 + 788*T1^6*T2^11 - 1156*T1^7*T2^11 + 746*T1^8*T2^11 + 
      1123*T1^9*T2^11 - 803*T1^10*T2^11 + 1748*T1^11*T2^11 + 
      194*T1^12*T2^11 - 1102*T1^13*T2^11 + 1016*T1^14*T2^11 + 
      72*T1^15*T2^11 - 120*T1^16*T2^11 + 27*T1^4*T2^12 + 126*T1^5*T2^12 - 
      653*T1^6*T2^12 + 228*T1^7*T2^12 + 587*T1^8*T2^12 - 1318*T1^9*T2^12 + 
      115*T1^10*T2^12 + 194*T1^11*T2^12 - 1789*T1^12*T2^12 + 
      1668*T1^13*T2^12 - 761*T1^14*T2^12 - 234*T1^15*T2^12 + 
      135*T1^16*T2^12 - 48*T1^5*T2^13 + 18*T1^6*T2^13 + 541*T1^7*T2^13 - 
      868*T1^8*T2^13 + 534*T1^9*T2^13 + 680*T1^10*T2^13 - 1102*T1^11*T2^13 + 
      1668*T1^12*T2^13 - 958*T1^13*T2^13 + 91*T1^14*T2^13 + 360*T1^15*T2^13 - 
      120*T1^16*T2^13 + 45*T1^6*T2^14 - 126*T1^7*T2^14 - 114*T1^8*T2^14 + 
      631*T1^9*T2^14 - 1121*T1^10*T2^14 + 1016*T1^11*T2^14 - 
      761*T1^12*T2^14 + 91*T1^13*T2^14 + 306*T1^14*T2^14 - 306*T1^15*T2^14 + 
      75*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 180*T1^9*T2^15 + 
      126*T1^10*T2^15 + 72*T1^11*T2^15 - 234*T1^12*T2^15 + 360*T1^13*T2^15 - 
      306*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 
      30*T1^9*T2^16 + 75*T1^10*T2^16 - 120*T1^11*T2^16 + 135*T1^12*T2^16 - 
      120*T1^13*T2^16 + 75*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 67] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((-23 + 138*T1 - 334*T1^2 + 449*T1^3 - 334*T1^4 + 138*T1^5 - 23*T1^6 + 
      138*T2 - 738*T1*T2 + 1464*T1^2*T2 - 1386*T1^3*T2 + 246*T1^4*T2 + 
      480*T1^5*T2 - 402*T1^6*T2 + 90*T1^7*T2 - 334*T2^2 + 1464*T1*T2^2 - 
      1712*T1^2*T2^2 - 725*T1^3*T2^2 + 4220*T1^4*T2^2 - 3857*T1^5*T2^2 + 
      1420*T1^6*T2^2 + 72*T1^7*T2^2 - 102*T1^8*T2^2 + 449*T2^3 - 
      1386*T1*T2^3 - 725*T1^2*T2^3 + 6624*T1^3*T2^3 - 10015*T1^4*T2^3 + 
      4055*T1^5*T2^3 + 1950*T1^6*T2^3 - 2639*T1^7*T2^3 + 726*T1^8*T2^3 - 
      19*T1^9*T2^3 - 334*T2^4 + 246*T1*T2^4 + 4220*T1^2*T2^4 - 
      10015*T1^3*T2^4 + 6903*T1^4*T2^4 + 6787*T1^5*T2^4 - 12105*T1^6*T2^4 + 
      6209*T1^7*T2^4 - 284*T1^8*T2^4 - 666*T1^9*T2^4 + 130*T1^10*T2^4 + 
      138*T2^5 + 480*T1*T2^5 - 3857*T1^2*T2^5 + 4055*T1^3*T2^5 + 
      6787*T1^4*T2^5 - 20071*T1^5*T2^5 + 15713*T1^6*T2^5 - 260*T1^7*T2^5 - 
      5707*T1^8*T2^5 + 2929*T1^9*T2^5 - 168*T1^10*T2^5 - 102*T1^11*T2^5 - 
      23*T2^6 - 402*T1*T2^6 + 1420*T1^2*T2^6 + 1950*T1^3*T2^6 - 
      12105*T1^4*T2^6 + 15713*T1^5*T2^6 - 1992*T1^6*T2^6 - 14437*T1^7*T2^6 + 
      11541*T1^8*T2^6 - 2466*T1^9*T2^6 - 1432*T1^10*T2^6 + 462*T1^11*T2^6 + 
      25*T1^12*T2^6 + 90*T1*T2^7 + 72*T1^2*T2^7 - 2639*T1^3*T2^7 + 
      6209*T1^4*T2^7 - 260*T1^5*T2^7 - 14437*T1^6*T2^7 + 21347*T1^7*T2^7 - 
      7307*T1^8*T2^7 - 3553*T1^9*T2^7 + 4147*T1^10*T2^7 - 576*T1^11*T2^7 - 
      150*T1^12*T2^7 - 102*T1^2*T2^8 + 726*T1^3*T2^8 - 284*T1^4*T2^8 - 
      5707*T1^5*T2^8 + 11541*T1^6*T2^8 - 7307*T1^7*T2^8 - 7467*T1^8*T2^8 + 
      10517*T1^9*T2^8 - 4788*T1^10*T2^8 - 186*T1^11*T2^8 + 362*T1^12*T2^8 - 
      19*T1^3*T2^9 - 666*T1^4*T2^9 + 2929*T1^5*T2^9 - 2466*T1^6*T2^9 - 
      3553*T1^7*T2^9 + 10517*T1^8*T2^9 - 7140*T1^9*T2^9 + 1015*T1^10*T2^9 + 
      1446*T1^11*T2^9 - 487*T1^12*T2^9 + 130*T1^4*T2^10 - 168*T1^5*T2^10 - 
      1432*T1^6*T2^10 + 4147*T1^7*T2^10 - 4788*T1^8*T2^10 + 1015*T1^9*T2^10 + 
      1700*T1^10*T2^10 - 1560*T1^11*T2^10 + 362*T1^12*T2^10 - 
      102*T1^5*T2^11 + 462*T1^6*T2^11 - 576*T1^7*T2^11 - 186*T1^8*T2^11 + 
      1446*T1^9*T2^11 - 1560*T1^10*T2^11 + 798*T1^11*T2^11 - 
      150*T1^12*T2^11 + 25*T1^6*T2^12 - 150*T1^7*T2^12 + 362*T1^8*T2^12 - 
      487*T1^9*T2^12 + 362*T1^10*T2^12 - 150*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 68] -> 
  {-((1 - 6*T + 14*T^2 - 20*T^3 + 21*T^4 - 20*T^5 + 14*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 70*T1^2 + 100*T1^3 - 105*T1^4 + 100*T1^5 - 
      70*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 
      264*T1^3*T2 + 150*T1^4*T2 - 96*T1^5*T2 - 60*T1^6*T2 + 156*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 157*T1^2*T2^2 - 
      369*T1^3*T2^2 + 833*T1^4*T2^2 - 799*T1^5*T2^2 + 1029*T1^6*T2^2 - 
      761*T1^7*T2^2 + 207*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 
      100*T2^3 - 264*T1*T2^3 - 369*T1^2*T2^3 + 1258*T1^3*T2^3 - 
      1375*T1^4*T2^3 + 605*T1^5*T2^3 - 799*T1^6*T2^3 - 139*T1^7*T2^3 + 
      838*T1^8*T2^3 - 621*T1^9*T2^3 + 12*T1^10*T2^3 + 40*T1^11*T2^3 - 
      105*T2^4 + 150*T1*T2^4 + 833*T1^2*T2^4 - 1375*T1^3*T2^4 + 
      576*T1^4*T2^4 + 688*T1^5*T2^4 + 1192*T1^7*T2^4 - 1104*T1^8*T2^4 + 
      65*T1^9*T2^4 + 569*T1^10*T2^4 - 114*T1^11*T2^4 - 21*T1^12*T2^4 + 
      100*T2^5 - 96*T1*T2^5 - 799*T1^2*T2^5 + 605*T1^3*T2^5 + 688*T1^4*T2^5 - 
      1424*T1^5*T2^5 - 207*T1^6*T2^5 - 835*T1^7*T2^5 - 10*T1^8*T2^5 + 
      926*T1^9*T2^5 - 727*T1^10*T2^5 - 211*T1^11*T2^5 + 126*T1^12*T2^5 - 
      70*T2^6 - 60*T1*T2^6 + 1029*T1^2*T2^6 - 799*T1^3*T2^6 - 207*T1^5*T2^6 + 
      1964*T1^6*T2^6 - 232*T1^7*T2^6 + 452*T1^8*T2^6 - 519*T1^9*T2^6 - 
      192*T1^10*T2^6 + 713*T1^11*T2^6 - 87*T1^12*T2^6 - 84*T1^13*T2^6 + 
      14*T1^14*T2^6 + 30*T2^7 + 156*T1*T2^7 - 761*T1^2*T2^7 - 139*T1^3*T2^7 + 
      1192*T1^4*T2^7 - 835*T1^5*T2^7 - 232*T1^6*T2^7 - 1874*T1^7*T2^7 + 
      1360*T1^8*T2^7 - 400*T1^9*T2^7 + 425*T1^10*T2^7 - 110*T1^11*T2^7 - 
      559*T1^12*T2^7 + 331*T1^13*T2^7 - 12*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 207*T1^2*T2^8 + 838*T1^3*T2^8 - 1104*T1^4*T2^8 - 
      10*T1^5*T2^8 + 452*T1^6*T2^8 + 1360*T1^7*T2^8 - 132*T1^8*T2^8 - 
      1256*T1^9*T2^8 + 724*T1^10*T2^8 - 914*T1^11*T2^8 + 920*T1^12*T2^8 - 
      202*T1^13*T2^8 - 193*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 108*T1^2*T2^9 - 621*T1^3*T2^9 + 65*T1^4*T2^9 + 
      926*T1^5*T2^9 - 519*T1^6*T2^9 - 400*T1^7*T2^9 - 1256*T1^8*T2^9 + 
      1978*T1^9*T2^9 - 568*T1^10*T2^9 + 741*T1^11*T2^9 - 376*T1^12*T2^9 - 
      355*T1^13*T2^9 + 471*T1^14*T2^9 - 60*T1^15*T2^9 - 18*T1^16*T2^9 - 
      42*T1^2*T2^10 + 12*T1^3*T2^10 + 569*T1^4*T2^10 - 727*T1^5*T2^10 - 
      192*T1^6*T2^10 + 425*T1^7*T2^10 + 724*T1^8*T2^10 - 568*T1^9*T2^10 - 
      788*T1^10*T2^10 + 113*T1^11*T2^10 - 384*T1^12*T2^10 + 785*T1^13*T2^10 - 
      547*T1^14*T2^10 - 12*T1^15*T2^10 + 42*T1^16*T2^10 + 40*T1^3*T2^11 - 
      114*T1^4*T2^11 - 211*T1^5*T2^11 + 713*T1^6*T2^11 - 110*T1^7*T2^11 - 
      914*T1^8*T2^11 + 741*T1^9*T2^11 + 113*T1^10*T2^11 + 500*T1^11*T2^11 + 
      128*T1^12*T2^11 - 619*T1^13*T2^11 + 377*T1^14*T2^11 + 108*T1^15*T2^11 - 
      60*T1^16*T2^11 - 21*T1^4*T2^12 + 126*T1^5*T2^12 - 87*T1^6*T2^12 - 
      559*T1^7*T2^12 + 920*T1^8*T2^12 - 376*T1^9*T2^12 - 384*T1^10*T2^12 + 
      128*T1^11*T2^12 - 760*T1^12*T2^12 + 881*T1^13*T2^12 - 351*T1^14*T2^12 - 
      138*T1^15*T2^12 + 63*T1^16*T2^12 - 84*T1^6*T2^13 + 331*T1^7*T2^13 - 
      202*T1^8*T2^13 - 355*T1^9*T2^13 + 785*T1^10*T2^13 - 619*T1^11*T2^13 + 
      881*T1^12*T2^13 - 622*T1^13*T2^13 + 79*T1^14*T2^13 + 192*T1^15*T2^13 - 
      60*T1^16*T2^13 + 14*T1^6*T2^14 - 12*T1^7*T2^14 - 193*T1^8*T2^14 + 
      471*T1^9*T2^14 - 547*T1^10*T2^14 + 377*T1^11*T2^14 - 351*T1^12*T2^14 + 
      79*T1^13*T2^14 + 171*T1^14*T2^14 - 180*T1^15*T2^14 + 42*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 60*T1^9*T2^15 - 12*T1^10*T2^15 + 
      108*T1^11*T2^15 - 138*T1^12*T2^15 + 192*T1^13*T2^15 - 180*T1^14*T2^15 + 
      96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      42*T1^10*T2^16 - 60*T1^11*T2^16 + 63*T1^12*T2^16 - 60*T1^13*T2^16 + 
      42*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 69] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 162*T1 - 410*T1^2 + 559*T1^3 - 410*T1^4 + 162*T1^5 - 25*T1^6 + 
      162*T2 - 940*T1*T2 + 1946*T1^2*T2 - 1824*T1^3*T2 + 204*T1^4*T2 + 
      750*T1^5*T2 - 550*T1^6*T2 + 110*T1^7*T2 - 410*T2^2 + 1946*T1*T2^2 - 
      2264*T1^2*T2^2 - 1545*T1^3*T2^2 + 6794*T1^4*T2^2 - 5769*T1^5*T2^2 + 
      1828*T1^6*T2^2 + 230*T1^7*T2^2 - 146*T1^8*T2^2 + 559*T2^3 - 
      1824*T1*T2^3 - 1545*T1^2*T2^3 + 10923*T1^3*T2^3 - 15802*T1^4*T2^3 + 
      5240*T1^5*T2^3 + 3879*T1^6*T2^3 - 4020*T1^7*T2^3 + 828*T1^8*T2^3 + 
      19*T1^9*T2^3 - 410*T2^4 + 204*T1*T2^4 + 6794*T1^2*T2^4 - 
      15802*T1^3*T2^4 + 10174*T1^4*T2^4 + 12774*T1^5*T2^4 - 19082*T1^6*T2^4 + 
      8588*T1^7*T2^4 + 296*T1^8*T2^4 - 888*T1^9*T2^4 + 118*T1^10*T2^4 + 
      162*T2^5 + 750*T1*T2^5 - 5769*T1^2*T2^5 + 5240*T1^3*T2^5 + 
      12774*T1^4*T2^5 - 34628*T1^5*T2^5 + 23950*T1^6*T2^5 + 663*T1^7*T2^5 - 
      9106*T1^8*T2^5 + 3702*T1^9*T2^5 - 134*T1^10*T2^5 - 98*T1^11*T2^5 - 
      25*T2^6 - 550*T1*T2^6 + 1828*T1^2*T2^6 + 3879*T1^3*T2^6 - 
      19082*T1^4*T2^6 + 23950*T1^5*T2^6 + 1428*T1^6*T2^6 - 25102*T1^7*T2^6 + 
      18808*T1^8*T2^6 - 3207*T1^9*T2^6 - 1812*T1^10*T2^6 + 490*T1^11*T2^6 + 
      23*T1^12*T2^6 + 110*T1*T2^7 + 230*T1^2*T2^7 - 4020*T1^3*T2^7 + 
      8588*T1^4*T2^7 + 663*T1^5*T2^7 - 25102*T1^6*T2^7 + 33476*T1^7*T2^7 - 
      11448*T1^8*T2^7 - 5758*T1^9*T2^7 + 5451*T1^10*T2^7 - 654*T1^11*T2^7 - 
      150*T1^12*T2^7 - 146*T1^2*T2^8 + 828*T1^3*T2^8 + 296*T1^4*T2^8 - 
      9106*T1^5*T2^8 + 18808*T1^6*T2^8 - 11448*T1^7*T2^8 - 10448*T1^8*T2^8 + 
      15284*T1^9*T2^8 - 6202*T1^10*T2^8 - 264*T1^11*T2^8 + 382*T1^12*T2^8 + 
      19*T1^3*T2^9 - 888*T1^4*T2^9 + 3702*T1^5*T2^9 - 3207*T1^6*T2^9 - 
      5758*T1^7*T2^9 + 15284*T1^8*T2^9 - 10251*T1^9*T2^9 + 1227*T1^10*T2^9 + 
      1764*T1^11*T2^9 - 521*T1^12*T2^9 + 118*T1^4*T2^10 - 134*T1^5*T2^10 - 
      1812*T1^6*T2^10 + 5451*T1^7*T2^10 - 6202*T1^8*T2^10 + 1227*T1^9*T2^10 + 
      2280*T1^10*T2^10 - 1850*T1^11*T2^10 + 382*T1^12*T2^10 - 98*T1^5*T2^11 + 
      490*T1^6*T2^11 - 654*T1^7*T2^11 - 264*T1^8*T2^11 + 1764*T1^9*T2^11 - 
      1850*T1^10*T2^11 + 880*T1^11*T2^11 - 150*T1^12*T2^11 + 23*T1^6*T2^12 - 
      150*T1^7*T2^12 + 382*T1^8*T2^12 - 521*T1^9*T2^12 + 382*T1^10*T2^12 - 
      150*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 70] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-33 + 229*T1 - 584*T1^2 + 759*T1^3 - 584*T1^4 + 229*T1^5 - 33*T1^6 + 
     229*T2 - 1418*T1*T2 + 2864*T1^2*T2 - 2230*T1^3*T2 + 94*T1^4*T2 + 
     1464*T1^5*T2 - 970*T1^6*T2 + 173*T1^7*T2 - 584*T2^2 + 2864*T1*T2^2 - 
     2379*T1^2*T2^2 - 5608*T1^3*T2^2 + 11945*T1^4*T2^2 - 10360*T1^5*T2^2 + 
     2517*T1^6*T2^2 + 848*T1^7*T2^2 - 296*T1^8*T2^2 + 759*T2^3 - 
     2230*T1*T2^3 - 5608*T1^2*T2^3 + 22534*T1^3*T2^3 - 22273*T1^4*T2^3 + 
     5459*T1^5*T2^3 + 11152*T1^6*T2^3 - 7696*T1^7*T2^3 + 710*T1^8*T2^3 + 
     195*T1^9*T2^3 - 584*T2^4 + 94*T1*T2^4 + 11945*T1^2*T2^4 - 
     22273*T1^3*T2^4 - 1200*T1^4*T2^4 + 30030*T1^5*T2^4 - 34836*T1^6*T2^4 + 
     8935*T1^7*T2^4 + 3889*T1^8*T2^4 - 1306*T1^9*T2^4 - 8*T1^10*T2^4 + 
     229*T2^5 + 1464*T1*T2^5 - 10360*T1^2*T2^5 + 5459*T1^3*T2^5 + 
     30030*T1^4*T2^5 - 44852*T1^5*T2^5 + 22224*T1^6*T2^5 + 14478*T1^7*T2^5 - 
     15321*T1^8*T2^5 + 2384*T1^9*T2^5 + 400*T1^10*T2^5 - 51*T1^11*T2^5 - 
     33*T2^6 - 970*T1*T2^6 + 2517*T1^2*T2^6 + 11152*T1^3*T2^6 - 
     34836*T1^4*T2^6 + 22224*T1^5*T2^6 + 15408*T1^6*T2^6 - 36992*T1^7*T2^6 + 
     17308*T1^8*T2^6 + 1960*T1^9*T2^6 - 2411*T1^10*T2^6 + 262*T1^11*T2^6 + 
     15*T1^12*T2^6 + 173*T1*T2^7 + 848*T1^2*T2^7 - 7696*T1^3*T2^7 + 
     8935*T1^4*T2^7 + 14478*T1^5*T2^7 - 36992*T1^6*T2^7 + 30084*T1^7*T2^7 - 
     1074*T1^8*T2^7 - 11845*T1^9*T2^7 + 5048*T1^10*T2^7 - 216*T1^11*T2^7 - 
     107*T1^12*T2^7 - 296*T1^2*T2^8 + 710*T1^3*T2^8 + 3889*T1^4*T2^8 - 
     15321*T1^5*T2^8 + 17308*T1^6*T2^8 - 1074*T1^7*T2^8 - 16328*T1^8*T2^8 + 
     15887*T1^9*T2^8 - 4167*T1^10*T2^8 - 690*T1^11*T2^8 + 280*T1^12*T2^8 + 
     195*T1^3*T2^9 - 1306*T1^4*T2^9 + 2384*T1^5*T2^9 + 1960*T1^6*T2^9 - 
     11845*T1^7*T2^9 + 15887*T1^8*T2^9 - 9422*T1^9*T2^9 + 296*T1^10*T2^9 + 
     1634*T1^11*T2^9 - 369*T1^12*T2^9 - 8*T1^4*T2^10 + 400*T1^5*T2^10 - 
     2411*T1^6*T2^10 + 5048*T1^7*T2^10 - 4167*T1^8*T2^10 + 296*T1^9*T2^10 + 
     2485*T1^10*T2^10 - 1616*T1^11*T2^10 + 280*T1^12*T2^10 - 51*T1^5*T2^11 + 
     262*T1^6*T2^11 - 216*T1^7*T2^11 - 690*T1^8*T2^11 + 1634*T1^9*T2^11 - 
     1616*T1^10*T2^11 + 710*T1^11*T2^11 - 107*T1^12*T2^11 + 15*T1^6*T2^12 - 
     107*T1^7*T2^12 + 280*T1^8*T2^12 - 369*T1^9*T2^12 + 280*T1^10*T2^12 - 
     107*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 71] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6))/T^4), 
   -((-5 + 30*T1 - 90*T1^2 + 170*T1^3 - 205*T1^4 + 170*T1^5 - 90*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 396*T1^2*T2 - 588*T1^3*T2 + 
      414*T1^4*T2 - 36*T1^5*T2 - 276*T1^6*T2 + 252*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 90*T2^2 + 396*T1*T2^2 - 809*T1^2*T2^2 + 787*T1^3*T2^2 + 
      247*T1^4*T2^2 - 1027*T1^5*T2^2 + 1075*T1^6*T2^2 - 221*T1^7*T2^2 - 
      197*T1^8*T2^2 + 180*T1^9*T2^2 - 54*T1^10*T2^2 + 170*T2^3 - 
      588*T1*T2^3 + 787*T1^2*T2^3 + 140*T1^3*T2^3 - 2333*T1^4*T2^3 + 
      2169*T1^5*T2^3 - 627*T1^6*T2^3 - 1511*T1^7*T2^3 + 1118*T1^8*T2^3 - 
      293*T1^9*T2^3 - 84*T1^10*T2^3 + 68*T1^11*T2^3 - 205*T2^4 + 
      414*T1*T2^4 + 247*T1^2*T2^4 - 2333*T1^3*T2^4 + 4292*T1^4*T2^4 - 
      508*T1^5*T2^4 - 2804*T1^6*T2^4 + 4284*T1^7*T2^4 - 572*T1^8*T2^4 - 
      973*T1^9*T2^4 + 751*T1^10*T2^4 - 162*T1^11*T2^4 - 41*T1^12*T2^4 + 
      170*T2^5 - 36*T1*T2^5 - 1027*T1^2*T2^5 + 2169*T1^3*T2^5 - 
      508*T1^4*T2^5 - 7432*T1^5*T2^5 + 7868*T1^6*T2^5 - 3736*T1^7*T2^5 - 
      4344*T1^8*T2^5 + 3664*T1^9*T2^5 - 1051*T1^10*T2^5 - 271*T1^11*T2^5 + 
      246*T1^12*T2^5 - 90*T2^6 - 276*T1*T2^6 + 1075*T1^2*T2^6 - 
      627*T1^3*T2^6 - 2804*T1^4*T2^6 + 7868*T1^5*T2^6 + 599*T1^6*T2^6 - 
      9039*T1^7*T2^6 + 13535*T1^8*T2^6 - 4492*T1^9*T2^6 - 1028*T1^10*T2^6 + 
      1533*T1^11*T2^6 - 401*T1^12*T2^6 - 108*T1^13*T2^6 + 18*T1^14*T2^6 + 
      30*T2^7 + 252*T1*T2^7 - 221*T1^2*T2^7 - 1511*T1^3*T2^7 + 
      4284*T1^4*T2^7 - 3736*T1^5*T2^7 - 9039*T1^6*T2^7 + 13232*T1^7*T2^7 - 
      8512*T1^8*T2^7 - 4699*T1^9*T2^7 + 6356*T1^10*T2^7 - 2368*T1^11*T2^7 - 
      181*T1^12*T2^7 + 427*T1^13*T2^7 - 36*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 197*T1^2*T2^8 + 1118*T1^3*T2^8 - 572*T1^4*T2^8 - 
      4344*T1^5*T2^8 + 13535*T1^6*T2^8 - 8512*T1^7*T2^8 - 2988*T1^8*T2^8 + 
      12000*T1^9*T2^8 - 6561*T1^10*T2^8 - 520*T1^11*T2^8 + 1868*T1^12*T2^8 - 
      730*T1^13*T2^8 - 53*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 180*T1^2*T2^9 - 293*T1^3*T2^9 - 973*T1^4*T2^9 + 
      3664*T1^5*T2^9 - 4492*T1^6*T2^9 - 4699*T1^7*T2^9 + 12000*T1^8*T2^9 - 
      9744*T1^9*T2^9 - 359*T1^10*T2^9 + 5600*T1^11*T2^9 - 2988*T1^12*T2^9 + 
      357*T1^13*T2^9 + 355*T1^14*T2^9 - 108*T1^15*T2^9 - 18*T1^16*T2^9 - 
      54*T1^2*T2^10 - 84*T1^3*T2^10 + 751*T1^4*T2^10 - 1051*T1^5*T2^10 - 
      1028*T1^6*T2^10 + 6356*T1^7*T2^10 - 6561*T1^8*T2^10 - 359*T1^9*T2^10 + 
      6375*T1^10*T2^10 - 6004*T1^11*T2^10 + 748*T1^12*T2^10 + 
      1109*T1^13*T2^10 - 725*T1^14*T2^10 + 84*T1^15*T2^10 + 54*T1^16*T2^10 + 
      68*T1^3*T2^11 - 162*T1^4*T2^11 - 271*T1^5*T2^11 + 1533*T1^6*T2^11 - 
      2368*T1^7*T2^11 - 520*T1^8*T2^11 + 5600*T1^9*T2^11 - 6004*T1^10*T2^11 + 
      2568*T1^11*T2^11 + 1804*T1^12*T2^11 - 1687*T1^13*T2^11 + 
      485*T1^14*T2^11 + 120*T1^15*T2^11 - 102*T1^16*T2^11 - 41*T1^4*T2^12 + 
      246*T1^5*T2^12 - 401*T1^6*T2^12 - 181*T1^7*T2^12 + 1868*T1^8*T2^12 - 
      2988*T1^9*T2^12 + 748*T1^10*T2^12 + 1804*T1^11*T2^12 - 
      2996*T1^12*T2^12 + 1179*T1^13*T2^12 + 103*T1^14*T2^12 - 
      330*T1^15*T2^12 + 123*T1^16*T2^12 - 108*T1^6*T2^13 + 427*T1^7*T2^13 - 
      730*T1^8*T2^13 + 357*T1^9*T2^13 + 1109*T1^10*T2^13 - 1687*T1^11*T2^13 + 
      1179*T1^12*T2^13 + 248*T1^13*T2^13 - 653*T1^14*T2^13 + 
      396*T1^15*T2^13 - 102*T1^16*T2^13 + 18*T1^6*T2^14 - 36*T1^7*T2^14 - 
      53*T1^8*T2^14 + 355*T1^9*T2^14 - 725*T1^10*T2^14 + 485*T1^11*T2^14 + 
      103*T1^12*T2^14 - 653*T1^13*T2^14 + 559*T1^14*T2^14 - 252*T1^15*T2^14 + 
      54*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 108*T1^9*T2^15 + 
      84*T1^10*T2^15 + 120*T1^11*T2^15 - 330*T1^12*T2^15 + 396*T1^13*T2^15 - 
      252*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 54*T1^10*T2^16 - 102*T1^11*T2^16 + 123*T1^12*T2^16 - 
      102*T1^13*T2^16 + 54*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 72] -> 
  {((1 - T + T^2)^2*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 128*T1^3 - 156*T1^4 + 128*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 444*T1^3*T2 + 
     360*T1^4*T2 - 66*T1^5*T2 - 144*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 685*T1^2*T2^2 + 581*T1^3*T2^2 - 
     15*T1^4*T2^2 - 735*T1^5*T2^2 + 741*T1^6*T2^2 - 355*T1^7*T2^2 - 
     73*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 128*T2^3 - 444*T1*T2^3 + 
     581*T1^2*T2^3 + 454*T1^3*T2^3 - 1636*T1^4*T2^3 + 2179*T1^5*T2^3 - 
     689*T1^6*T2^3 - 556*T1^7*T2^3 + 1030*T1^8*T2^3 - 391*T1^9*T2^3 + 
     24*T1^10*T2^3 + 32*T1^11*T2^3 - 156*T2^4 + 360*T1*T2^4 - 15*T1^2*T2^4 - 
     1636*T1^3*T2^4 + 1742*T1^4*T2^4 - 188*T1^5*T2^4 - 3450*T1^6*T2^4 + 
     3820*T1^7*T2^4 - 2314*T1^8*T2^4 - 100*T1^9*T2^4 + 489*T1^10*T2^4 - 
     192*T1^11*T2^4 + 128*T2^5 - 66*T1*T2^5 - 735*T1^2*T2^5 + 
     2179*T1^3*T2^5 - 188*T1^4*T2^5 - 2986*T1^5*T2^5 + 6385*T1^6*T2^5 - 
     3251*T1^7*T2^5 - 496*T1^8*T2^5 + 2914*T1^9*T2^5 - 1305*T1^10*T2^5 + 
     21*T1^11*T2^5 + 192*T1^12*T2^5 - 32*T1^13*T2^5 - 72*T2^6 - 144*T1*T2^6 + 
     741*T1^2*T2^6 - 689*T1^3*T2^6 - 3450*T1^4*T2^6 + 6385*T1^5*T2^6 - 
     6618*T1^6*T2^6 - 686*T1^7*T2^6 + 4734*T1^8*T2^6 - 4391*T1^9*T2^6 + 
     54*T1^10*T2^6 + 1255*T1^11*T2^6 - 519*T1^12*T2^6 - 24*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 355*T1^2*T2^7 - 556*T1^3*T2^7 + 
     3820*T1^4*T2^7 - 3251*T1^5*T2^7 - 686*T1^6*T2^7 + 7916*T1^7*T2^7 - 
     6958*T1^8*T2^7 + 1018*T1^9*T2^7 + 4105*T1^10*T2^7 - 2906*T1^11*T2^7 + 
     188*T1^12*T2^7 + 401*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 73*T1^2*T2^8 + 1030*T1^3*T2^8 - 2314*T1^4*T2^8 - 
     496*T1^5*T2^8 + 4734*T1^6*T2^8 - 6958*T1^7*T2^8 + 960*T1^8*T2^8 + 
     5978*T1^9*T2^8 - 6034*T1^10*T2^8 + 1016*T1^11*T2^8 + 2126*T1^12*T2^8 - 
     1066*T1^13*T2^8 + 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 391*T1^3*T2^9 - 100*T1^4*T2^9 + 
     2914*T1^5*T2^9 - 4391*T1^6*T2^9 + 1018*T1^7*T2^9 + 5978*T1^8*T2^9 - 
     8896*T1^9*T2^9 + 2722*T1^10*T2^9 + 2965*T1^11*T2^9 - 3812*T1^12*T2^9 + 
     644*T1^13*T2^9 + 365*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 24*T1^3*T2^10 + 489*T1^4*T2^10 - 1305*T1^5*T2^10 + 
     54*T1^6*T2^10 + 4105*T1^7*T2^10 - 6034*T1^8*T2^10 + 2722*T1^9*T2^10 + 
     5318*T1^10*T2^10 - 6671*T1^11*T2^10 + 3558*T1^12*T2^10 + 
     639*T1^13*T2^10 - 771*T1^14*T2^10 + 144*T1^15*T2^10 + 72*T1^16*T2^10 + 
     32*T1^3*T2^11 - 192*T1^4*T2^11 + 21*T1^5*T2^11 + 1255*T1^6*T2^11 - 
     2906*T1^7*T2^11 + 1016*T1^8*T2^11 + 2965*T1^9*T2^11 - 6671*T1^10*T2^11 + 
     3506*T1^11*T2^11 + 196*T1^12*T2^11 - 2229*T1^13*T2^11 + 
     777*T1^14*T2^11 + 66*T1^15*T2^11 - 128*T1^16*T2^11 + 192*T1^5*T2^12 - 
     519*T1^6*T2^12 + 188*T1^7*T2^12 + 2126*T1^8*T2^12 - 3812*T1^9*T2^12 + 
     3558*T1^10*T2^12 + 196*T1^11*T2^12 - 1930*T1^12*T2^12 + 
     1724*T1^13*T2^12 - 15*T1^14*T2^12 - 360*T1^15*T2^12 + 156*T1^16*T2^12 - 
     32*T1^5*T2^13 - 24*T1^6*T2^13 + 401*T1^7*T2^13 - 1066*T1^8*T2^13 + 
     644*T1^9*T2^13 + 639*T1^10*T2^13 - 2229*T1^11*T2^13 + 1724*T1^12*T2^13 - 
     490*T1^13*T2^13 - 571*T1^14*T2^13 + 444*T1^15*T2^13 - 128*T1^16*T2^13 + 
     36*T1^6*T2^14 - 108*T1^7*T2^14 + 71*T1^8*T2^14 + 365*T1^9*T2^14 - 
     771*T1^10*T2^14 + 777*T1^11*T2^14 - 15*T1^12*T2^14 - 571*T1^13*T2^14 + 
     683*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 180*T1^9*T2^15 + 144*T1^10*T2^15 + 66*T1^11*T2^15 - 
     360*T1^12*T2^15 + 444*T1^13*T2^15 - 324*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
     128*T1^11*T2^16 + 156*T1^12*T2^16 - 128*T1^13*T2^16 + 72*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 73] -> 
  {((1 - T + T^2)*(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 148*T1^3 - 180*T1^4 + 148*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 595*T1^3*T2 + 
     483*T1^4*T2 - 91*T1^5*T2 - 189*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 777*T1^2*T2^2 + 315*T1^3*T2^2 + 
     779*T1^4*T2^2 - 1955*T1^5*T2^2 + 1787*T1^6*T2^2 - 945*T1^7*T2^2 + 
     63*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 148*T2^3 - 595*T1*T2^3 + 
     315*T1^2*T2^3 + 1764*T1^3*T2^3 - 3754*T1^4*T2^3 + 4270*T1^5*T2^3 - 
     1346*T1^6*T2^3 - 1000*T1^7*T2^3 + 1866*T1^8*T2^3 - 840*T1^9*T2^3 + 
     35*T1^10*T2^3 + 37*T1^11*T2^3 - 180*T2^4 + 483*T1*T2^4 + 779*T1^2*T2^4 - 
     3754*T1^3*T2^4 + 4002*T1^4*T2^4 - 1126*T1^5*T2^4 - 5114*T1^6*T2^4 + 
     5906*T1^7*T2^4 - 3618*T1^8*T2^4 - 54*T1^9*T2^4 + 933*T1^10*T2^4 - 
     259*T1^11*T2^4 + 148*T2^5 - 91*T1*T2^5 - 1955*T1^2*T2^5 + 
     4270*T1^3*T2^5 - 1126*T1^4*T2^5 - 4359*T1^5*T2^5 + 9642*T1^6*T2^5 - 
     4442*T1^7*T2^5 - 1403*T1^8*T2^5 + 4703*T1^9*T2^5 - 2514*T1^10*T2^5 - 
     2*T1^11*T2^5 + 259*T1^12*T2^5 - 37*T1^13*T2^5 - 84*T2^6 - 189*T1*T2^6 + 
     1787*T1^2*T2^6 - 1346*T1^3*T2^6 - 5114*T1^4*T2^6 + 9642*T1^5*T2^6 - 
     8548*T1^6*T2^6 - 3072*T1^7*T2^6 + 8252*T1^8*T2^6 - 6136*T1^9*T2^6 + 
     24*T1^10*T2^6 + 2518*T1^11*T2^6 - 929*T1^12*T2^6 - 35*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 945*T1^2*T2^7 - 1000*T1^3*T2^7 + 
     5906*T1^4*T2^7 - 4442*T1^5*T2^7 - 3072*T1^6*T2^7 + 12502*T1^7*T2^7 - 
     9018*T1^8*T2^7 - 813*T1^9*T2^7 + 6254*T1^10*T2^7 - 4735*T1^11*T2^7 + 
     30*T1^12*T2^7 + 840*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 63*T1^2*T2^8 + 1866*T1^3*T2^8 - 3618*T1^4*T2^8 - 
     1403*T1^5*T2^8 + 8252*T1^6*T2^8 - 9018*T1^7*T2^8 - 456*T1^8*T2^8 + 
     9598*T1^9*T2^8 - 6982*T1^10*T2^8 + 1023*T1^11*T2^8 + 3742*T1^12*T2^8 - 
     1866*T1^13*T2^8 - 63*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 840*T1^3*T2^9 - 54*T1^4*T2^9 + 
     4703*T1^5*T2^9 - 6136*T1^6*T2^9 - 813*T1^7*T2^9 + 9598*T1^8*T2^9 - 
     11922*T1^9*T2^9 + 1446*T1^10*T2^9 + 4560*T1^11*T2^9 - 5938*T1^12*T2^9 + 
     976*T1^13*T2^9 + 945*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 35*T1^3*T2^10 + 933*T1^4*T2^10 - 2514*T1^5*T2^10 + 
     24*T1^6*T2^10 + 6254*T1^7*T2^10 - 6982*T1^8*T2^10 + 1446*T1^9*T2^10 + 
     9818*T1^10*T2^10 - 9524*T1^11*T2^10 + 5162*T1^12*T2^10 + 
     1350*T1^13*T2^10 - 1783*T1^14*T2^10 + 189*T1^15*T2^10 + 84*T1^16*T2^10 + 
     37*T1^3*T2^11 - 259*T1^4*T2^11 - 2*T1^5*T2^11 + 2518*T1^6*T2^11 - 
     4735*T1^7*T2^11 + 1023*T1^8*T2^11 + 4560*T1^9*T2^11 - 9524*T1^10*T2^11 + 
     3979*T1^11*T2^11 + 1094*T1^12*T2^11 - 4266*T1^13*T2^11 + 
     1951*T1^14*T2^11 + 91*T1^15*T2^11 - 148*T1^16*T2^11 + 259*T1^5*T2^12 - 
     929*T1^6*T2^12 + 30*T1^7*T2^12 + 3742*T1^8*T2^12 - 5938*T1^9*T2^12 + 
     5162*T1^10*T2^12 + 1094*T1^11*T2^12 - 3878*T1^12*T2^12 + 
     3730*T1^13*T2^12 - 775*T1^14*T2^12 - 483*T1^15*T2^12 + 180*T1^16*T2^12 - 
     37*T1^5*T2^13 - 35*T1^6*T2^13 + 840*T1^7*T2^13 - 1866*T1^8*T2^13 + 
     976*T1^9*T2^13 + 1350*T1^10*T2^13 - 4266*T1^11*T2^13 + 
     3730*T1^12*T2^13 - 1764*T1^13*T2^13 - 315*T1^14*T2^13 + 
     595*T1^15*T2^13 - 148*T1^16*T2^13 + 42*T1^6*T2^14 - 147*T1^7*T2^14 - 
     63*T1^8*T2^14 + 945*T1^9*T2^14 - 1783*T1^10*T2^14 + 1951*T1^11*T2^14 - 
     775*T1^12*T2^14 - 315*T1^13*T2^14 + 777*T1^14*T2^14 - 441*T1^15*T2^14 + 
     84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 245*T1^9*T2^15 + 
     189*T1^10*T2^15 + 91*T1^11*T2^15 - 483*T1^12*T2^15 + 595*T1^13*T2^15 - 
     441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 84*T1^10*T2^16 - 148*T1^11*T2^16 + 180*T1^12*T2^16 - 
     148*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 74] -> 
  {(1 - 5*T + 10*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 78*T1^3 - 90*T1^4 + 78*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 140*T1^3*T2 + 125*T1^4*T2 - 
     15*T1^5*T2 - 25*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 273*T1^3*T2^2 + 333*T1^4*T2^2 - 
     581*T1^5*T2^2 + 433*T1^6*T2^2 - 433*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 78*T2^3 - 140*T1*T2^3 - 273*T1^2*T2^3 + 
     547*T1^3*T2^3 - 306*T1^4*T2^3 + 522*T1^5*T2^3 + 19*T1^6*T2^3 + 
     64*T1^7*T2^3 + 343*T1^8*T2^3 - 363*T1^9*T2^3 + 5*T1^10*T2^3 + 
     39*T1^11*T2^3 - 90*T2^4 + 125*T1*T2^4 + 333*T1^2*T2^4 - 306*T1^3*T2^4 - 
     205*T1^4*T2^4 - 159*T1^5*T2^4 - 515*T1^6*T2^4 + 11*T1^7*T2^4 - 
     405*T1^8*T2^4 + 84*T1^9*T2^4 + 283*T1^10*T2^4 - 45*T1^11*T2^4 - 
     30*T1^12*T2^4 + 78*T2^5 - 15*T1*T2^5 - 581*T1^2*T2^5 + 522*T1^3*T2^5 - 
     159*T1^4*T2^5 + 788*T1^5*T2^5 + 13*T1^6*T2^5 + 573*T1^7*T2^5 + 
     188*T1^8*T2^5 + 66*T1^9*T2^5 - 103*T1^10*T2^5 - 236*T1^11*T2^5 + 
     85*T1^12*T2^5 + 13*T1^13*T2^5 - 60*T2^6 - 25*T1*T2^6 + 433*T1^2*T2^6 + 
     19*T1^3*T2^6 - 515*T1^4*T2^6 + 13*T1^5*T2^6 - 1008*T1^6*T2^6 + 
     372*T1^7*T2^6 - 1048*T1^8*T2^6 + 473*T1^9*T2^6 - 295*T1^10*T2^6 + 
     339*T1^11*T2^6 + 33*T1^12*T2^6 - 65*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     433*T1^2*T2^7 + 64*T1^3*T2^7 + 11*T1^4*T2^7 + 573*T1^5*T2^7 + 
     372*T1^6*T2^7 + 292*T1^7*T2^7 + 262*T1^8*T2^7 + 207*T1^9*T2^7 - 
     187*T1^10*T2^7 + 6*T1^11*T2^7 - 226*T1^12*T2^7 + 77*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     343*T1^3*T2^8 - 405*T1^4*T2^8 + 188*T1^5*T2^8 - 1048*T1^6*T2^8 + 
     262*T1^7*T2^8 - 492*T1^8*T2^8 + 62*T1^9*T2^8 - 22*T1^10*T2^8 + 
     176*T1^11*T2^8 + 75*T1^12*T2^8 + 77*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     363*T1^3*T2^9 + 84*T1^4*T2^9 + 66*T1^5*T2^9 + 473*T1^6*T2^9 + 
     207*T1^7*T2^9 + 62*T1^8*T2^9 + 32*T1^9*T2^9 + 42*T1^10*T2^9 - 
     287*T1^11*T2^9 + 61*T1^12*T2^9 - 206*T1^13*T2^9 + 147*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 5*T1^3*T2^10 + 283*T1^4*T2^10 - 
     103*T1^5*T2^10 - 295*T1^6*T2^10 - 187*T1^7*T2^10 - 22*T1^8*T2^10 + 
     42*T1^9*T2^10 - 62*T1^10*T2^10 + 273*T1^11*T2^10 - 75*T1^12*T2^10 + 
     217*T1^13*T2^10 - 117*T1^14*T2^10 - 35*T1^15*T2^10 + 20*T1^16*T2^10 + 
     39*T1^3*T2^11 - 45*T1^4*T2^11 - 236*T1^5*T2^11 + 339*T1^6*T2^11 + 
     6*T1^7*T2^11 + 176*T1^8*T2^11 - 287*T1^9*T2^11 + 273*T1^10*T2^11 - 
     424*T1^11*T2^11 + 231*T1^12*T2^11 - 286*T1^13*T2^11 + 109*T1^14*T2^11 + 
     55*T1^15*T2^11 - 26*T1^16*T2^11 - 30*T1^4*T2^12 + 85*T1^5*T2^12 + 
     33*T1^6*T2^12 - 226*T1^7*T2^12 + 75*T1^8*T2^12 + 61*T1^9*T2^12 - 
     75*T1^10*T2^12 + 231*T1^11*T2^12 - 125*T1^12*T2^12 + 164*T1^13*T2^12 - 
     17*T1^14*T2^12 - 85*T1^15*T2^12 + 30*T1^16*T2^12 + 13*T1^5*T2^13 - 
     65*T1^6*T2^13 + 77*T1^7*T2^13 + 77*T1^8*T2^13 - 206*T1^9*T2^13 + 
     217*T1^10*T2^13 - 286*T1^11*T2^13 + 164*T1^12*T2^13 - 127*T1^13*T2^13 - 
     13*T1^14*T2^13 + 80*T1^15*T2^13 - 26*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 147*T1^9*T2^14 - 117*T1^10*T2^14 + 109*T1^11*T2^14 - 
     17*T1^12*T2^14 - 13*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 35*T1^10*T2^15 + 
     55*T1^11*T2^15 - 85*T1^12*T2^15 + 80*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 26*T1^11*T2^16 + 30*T1^12*T2^16 - 26*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 75] -> 
  {(2 - 10*T + 19*T^2 - 21*T^3 + 19*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 313*T1^2 + 345*T1^3 - 313*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 940*T1^2*T2 - 540*T1^3*T2 + 260*T1^4*T2 + 
     360*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 313*T2^2 + 940*T1*T2^2 - 
     7*T1^2*T2^2 - 1857*T1^3*T2^2 + 2065*T1^4*T2^2 - 2693*T1^5*T2^2 + 
     1285*T1^6*T2^2 + 180*T1^7*T2^2 - 161*T1^8*T2^2 + 345*T2^3 - 
     540*T1*T2^3 - 1857*T1^2*T2^3 + 3794*T1^3*T2^3 - 2070*T1^4*T2^3 + 
     1876*T1^5*T2^3 + 1182*T1^6*T2^3 - 1971*T1^7*T2^3 + 340*T1^8*T2^3 + 
     93*T1^9*T2^3 - 313*T2^4 + 260*T1*T2^4 + 2065*T1^2*T2^4 - 
     2070*T1^3*T2^4 - 1697*T1^4*T2^4 + 1645*T1^5*T2^4 - 3733*T1^6*T2^4 + 
     1878*T1^7*T2^4 + 753*T1^8*T2^4 - 420*T1^9*T2^4 - 9*T1^10*T2^4 + 
     165*T2^5 + 360*T1*T2^5 - 2693*T1^2*T2^5 + 1876*T1^3*T2^5 + 
     1645*T1^4*T2^5 - 69*T1^5*T2^5 + 561*T1^6*T2^5 + 1284*T1^7*T2^5 - 
     2066*T1^8*T2^5 + 309*T1^9*T2^5 + 220*T1^10*T2^5 - 35*T1^11*T2^5 - 
     33*T2^6 - 460*T1*T2^6 + 1285*T1^2*T2^6 + 1182*T1^3*T2^6 - 
     3733*T1^4*T2^6 + 561*T1^5*T2^6 + 72*T1^6*T2^6 - 821*T1^7*T2^6 + 
     597*T1^8*T2^6 + 1058*T1^9*T2^6 - 815*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 180*T1^2*T2^7 - 1971*T1^3*T2^7 + 
     1878*T1^4*T2^7 + 1284*T1^5*T2^7 - 821*T1^6*T2^7 - 191*T1^7*T2^7 + 
     923*T1^8*T2^7 - 2064*T1^9*T2^7 + 1031*T1^10*T2^7 + 40*T1^11*T2^7 - 
     75*T1^12*T2^7 - 161*T1^2*T2^8 + 340*T1^3*T2^8 + 753*T1^4*T2^8 - 
     2066*T1^5*T2^8 + 597*T1^6*T2^8 + 923*T1^7*T2^8 - 1439*T1^8*T2^8 + 
     1882*T1^9*T2^8 - 559*T1^10*T2^8 - 340*T1^11*T2^8 + 143*T1^12*T2^8 + 
     93*T1^3*T2^9 - 420*T1^4*T2^9 + 309*T1^5*T2^9 + 1058*T1^6*T2^9 - 
     2064*T1^7*T2^9 + 1882*T1^8*T2^9 - 1554*T1^9*T2^9 + 195*T1^10*T2^9 + 
     460*T1^11*T2^9 - 159*T1^12*T2^9 - 9*T1^4*T2^10 + 220*T1^5*T2^10 - 
     815*T1^6*T2^10 + 1031*T1^7*T2^10 - 559*T1^8*T2^10 + 195*T1^9*T2^10 + 
     477*T1^10*T2^10 - 540*T1^11*T2^10 + 143*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 + 40*T1^7*T2^11 - 340*T1^8*T2^11 + 460*T1^9*T2^11 - 
     540*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 143*T1^8*T2^12 - 159*T1^9*T2^12 + 143*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 76] -> 
  {(1 - 6*T + 17*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 68*T1^2 + 120*T1^3 - 148*T1^4 + 120*T1^5 - 68*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 300*T1^2*T2 - 414*T1^3*T2 + 
     348*T1^4*T2 - 54*T1^5*T2 - 132*T1^6*T2 + 162*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 68*T2^2 + 300*T1*T2^2 - 542*T1^2*T2^2 + 408*T1^3*T2^2 + 
     149*T1^4*T2^2 - 940*T1^5*T2^2 + 829*T1^6*T2^2 - 408*T1^7*T2^2 + 
     2*T1^8*T2^2 + 96*T1^9*T2^2 - 34*T1^10*T2^2 + 120*T2^3 - 414*T1*T2^3 + 
     408*T1^2*T2^3 + 408*T1^3*T2^3 - 1465*T1^4*T2^3 + 2117*T1^5*T2^3 - 
     487*T1^6*T2^3 - 541*T1^7*T2^3 + 852*T1^8*T2^3 - 408*T1^9*T2^3 + 
     24*T1^10*T2^3 + 30*T1^11*T2^3 - 148*T2^4 + 348*T1*T2^4 + 149*T1^2*T2^4 - 
     1465*T1^3*T2^4 + 2037*T1^4*T2^4 - 1288*T1^5*T2^4 - 2275*T1^6*T2^4 + 
     2360*T1^7*T2^4 - 1275*T1^8*T2^4 - 145*T1^9*T2^4 + 505*T1^10*T2^4 - 
     180*T1^11*T2^4 + 120*T2^5 - 54*T1*T2^5 - 940*T1^2*T2^5 + 
     2117*T1^3*T2^5 - 1288*T1^4*T2^5 - 1024*T1^5*T2^5 + 4712*T1^6*T2^5 - 
     1606*T1^7*T2^5 - 1042*T1^8*T2^5 + 2078*T1^9*T2^5 - 1135*T1^10*T2^5 - 
     4*T1^11*T2^5 + 180*T1^12*T2^5 - 30*T1^13*T2^5 - 68*T2^6 - 132*T1*T2^6 + 
     829*T1^2*T2^6 - 487*T1^3*T2^6 - 2275*T1^4*T2^6 + 4712*T1^5*T2^6 - 
     5201*T1^6*T2^6 - 1881*T1^7*T2^6 + 4311*T1^8*T2^6 - 2620*T1^9*T2^6 + 
     27*T1^10*T2^6 + 1145*T1^11*T2^6 - 499*T1^12*T2^6 - 24*T1^13*T2^6 + 
     34*T1^14*T2^6 + 24*T2^7 + 162*T1*T2^7 - 408*T1^2*T2^7 - 541*T1^3*T2^7 + 
     2360*T1^4*T2^7 - 1606*T1^5*T2^7 - 1881*T1^6*T2^7 + 8152*T1^7*T2^7 - 
     5744*T1^8*T2^7 - 405*T1^9*T2^7 + 2684*T1^10*T2^7 - 2134*T1^11*T2^7 + 
     119*T1^12*T2^7 + 408*T1^13*T2^7 - 96*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 2*T1^2*T2^8 + 852*T1^3*T2^8 - 1275*T1^4*T2^8 - 
     1042*T1^5*T2^8 + 4311*T1^6*T2^8 - 5744*T1^7*T2^8 - 24*T1^8*T2^8 + 
     5920*T1^9*T2^8 - 3617*T1^10*T2^8 + 830*T1^11*T2^8 + 1393*T1^12*T2^8 - 
     852*T1^13*T2^8 - 2*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 96*T1^2*T2^9 - 408*T1^3*T2^9 - 145*T1^4*T2^9 + 
     2078*T1^5*T2^9 - 2620*T1^6*T2^9 - 405*T1^7*T2^9 + 5920*T1^8*T2^9 - 
     7976*T1^9*T2^9 + 1071*T1^10*T2^9 + 1670*T1^11*T2^9 - 2416*T1^12*T2^9 + 
     515*T1^13*T2^9 + 408*T1^14*T2^9 - 162*T1^15*T2^9 - 24*T1^16*T2^9 - 
     34*T1^2*T2^10 + 24*T1^3*T2^10 + 505*T1^4*T2^10 - 1135*T1^5*T2^10 + 
     27*T1^6*T2^10 + 2684*T1^7*T2^10 - 3617*T1^8*T2^10 + 1071*T1^9*T2^10 + 
     5895*T1^10*T2^10 - 4648*T1^11*T2^10 + 2329*T1^12*T2^10 + 
     497*T1^13*T2^10 - 823*T1^14*T2^10 + 132*T1^15*T2^10 + 68*T1^16*T2^10 + 
     30*T1^3*T2^11 - 180*T1^4*T2^11 - 4*T1^5*T2^11 + 1145*T1^6*T2^11 - 
     2134*T1^7*T2^11 + 830*T1^8*T2^11 + 1670*T1^9*T2^11 - 4648*T1^10*T2^11 + 
     812*T1^11*T2^11 + 1232*T1^12*T2^11 - 2107*T1^13*T2^11 + 
     932*T1^14*T2^11 + 54*T1^15*T2^11 - 120*T1^16*T2^11 + 180*T1^5*T2^12 - 
     499*T1^6*T2^12 + 119*T1^7*T2^12 + 1393*T1^8*T2^12 - 2416*T1^9*T2^12 + 
     2329*T1^10*T2^12 + 1232*T1^11*T2^12 - 1919*T1^12*T2^12 + 
     1439*T1^13*T2^12 - 143*T1^14*T2^12 - 348*T1^15*T2^12 + 148*T1^16*T2^12 - 
     30*T1^5*T2^13 - 24*T1^6*T2^13 + 408*T1^7*T2^13 - 852*T1^8*T2^13 + 
     515*T1^9*T2^13 + 497*T1^10*T2^13 - 2107*T1^11*T2^13 + 1439*T1^12*T2^13 - 
     408*T1^13*T2^13 - 408*T1^14*T2^13 + 414*T1^15*T2^13 - 120*T1^16*T2^13 + 
     34*T1^6*T2^14 - 96*T1^7*T2^14 - 2*T1^8*T2^14 + 408*T1^9*T2^14 - 
     823*T1^10*T2^14 + 932*T1^11*T2^14 - 143*T1^12*T2^14 - 408*T1^13*T2^14 + 
     542*T1^14*T2^14 - 300*T1^15*T2^14 + 68*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 162*T1^9*T2^15 + 132*T1^10*T2^15 + 54*T1^11*T2^15 - 
     348*T1^12*T2^15 + 414*T1^13*T2^15 - 300*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 68*T1^10*T2^16 - 
     120*T1^11*T2^16 + 148*T1^12*T2^16 - 120*T1^13*T2^16 + 68*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 77] -> 
  {(2 - 12*T + 31*T^2 - 41*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-15 + 91*T1 - 237*T1^2 + 315*T1^3 - 237*T1^4 + 91*T1^5 - 15*T1^6 + 
     91*T2 - 508*T1*T2 + 1170*T1^2*T2 - 1214*T1^3*T2 + 514*T1^4*T2 + 
     138*T1^5*T2 - 172*T1^6*T2 + 43*T1^7*T2 - 237*T2^2 + 1170*T1*T2^2 - 
     2112*T1^2*T2^2 + 728*T1^3*T2^2 + 1928*T1^4*T2^2 - 2868*T1^5*T2^2 + 
     1484*T1^6*T2^2 - 318*T1^7*T2^2 + 11*T1^8*T2^2 + 315*T2^3 - 
     1214*T1*T2^3 + 728*T1^2*T2^3 + 4330*T1^3*T2^3 - 9062*T1^4*T2^3 + 
     7144*T1^5*T2^3 - 1088*T1^6*T2^3 - 1690*T1^7*T2^3 + 994*T1^8*T2^3 - 
     177*T1^9*T2^3 - 237*T2^4 + 514*T1*T2^4 + 1928*T1^2*T2^4 - 
     9062*T1^3*T2^4 + 11293*T1^4*T2^4 - 909*T1^5*T2^4 - 10051*T1^6*T2^4 + 
     9306*T1^7*T2^4 - 2192*T1^8*T2^4 - 494*T1^9*T2^4 + 259*T1^10*T2^4 + 
     91*T2^5 + 138*T1*T2^5 - 2868*T1^2*T2^5 + 7144*T1^3*T2^5 - 
     909*T1^4*T2^5 - 19199*T1^5*T2^5 + 26005*T1^6*T2^5 - 11294*T1^7*T2^5 - 
     4738*T1^8*T2^5 + 4262*T1^9*T2^5 - 654*T1^10*T2^5 - 149*T1^11*T2^5 - 
     15*T2^6 - 172*T1*T2^6 + 1484*T1^2*T2^6 - 1088*T1^3*T2^6 - 
     10051*T1^4*T2^6 + 26005*T1^5*T2^6 - 13812*T1^6*T2^6 - 13317*T1^7*T2^6 + 
     22815*T1^8*T2^6 - 7280*T1^9*T2^6 - 840*T1^10*T2^6 + 692*T1^11*T2^6 + 
     33*T1^12*T2^6 + 43*T1*T2^7 - 318*T1^2*T2^7 - 1690*T1^3*T2^7 + 
     9306*T1^4*T2^7 - 11294*T1^5*T2^7 - 13317*T1^6*T2^7 + 31887*T1^7*T2^7 - 
     21679*T1^8*T2^7 - 2576*T1^9*T2^7 + 5440*T1^10*T2^7 - 1110*T1^11*T2^7 - 
     197*T1^12*T2^7 + 11*T1^2*T2^8 + 994*T1^3*T2^8 - 2192*T1^4*T2^8 - 
     4738*T1^5*T2^8 + 22815*T1^6*T2^8 - 21679*T1^7*T2^8 + 1471*T1^8*T2^8 + 
     13630*T1^9*T2^8 - 6312*T1^10*T2^8 - 14*T1^11*T2^8 + 507*T1^12*T2^8 - 
     177*T1^3*T2^9 - 494*T1^4*T2^9 + 4262*T1^5*T2^9 - 7280*T1^6*T2^9 - 
     2576*T1^7*T2^9 + 13630*T1^8*T2^9 - 12698*T1^9*T2^9 + 1844*T1^10*T2^9 + 
     1714*T1^11*T2^9 - 669*T1^12*T2^9 + 259*T1^4*T2^10 - 654*T1^5*T2^10 - 
     840*T1^6*T2^10 + 5440*T1^7*T2^10 - 6312*T1^8*T2^10 + 1844*T1^9*T2^10 + 
     2756*T1^10*T2^10 - 2142*T1^11*T2^10 + 507*T1^12*T2^10 - 149*T1^5*T2^11 + 
     692*T1^6*T2^11 - 1110*T1^7*T2^11 - 14*T1^8*T2^11 + 1714*T1^9*T2^11 - 
     2142*T1^10*T2^11 + 1028*T1^11*T2^11 - 197*T1^12*T2^11 + 33*T1^6*T2^12 - 
     197*T1^7*T2^12 + 507*T1^8*T2^12 - 669*T1^9*T2^12 + 507*T1^10*T2^12 - 
     197*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 78] -> 
  {((1 - T + T^2)*(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4))/T^3, 
   (-33 + 197*T1 - 473*T1^2 + 601*T1^3 - 473*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 1940*T1^2*T2 - 1464*T1^3*T2 + 120*T1^4*T2 + 
     956*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 473*T2^2 + 1940*T1*T2^2 - 
     1748*T1^2*T2^2 - 2624*T1^3*T2^2 + 5928*T1^4*T2^2 - 5524*T1^5*T2^2 + 
     1384*T1^6*T2^2 + 548*T1^7*T2^2 - 241*T1^8*T2^2 + 601*T2^3 - 
     1464*T1*T2^3 - 2624*T1^2*T2^3 + 11154*T1^3*T2^3 - 10718*T1^4*T2^3 + 
     3148*T1^5*T2^3 + 5544*T1^6*T2^3 - 4190*T1^7*T2^3 + 504*T1^8*T2^3 + 
     157*T1^9*T2^3 - 473*T2^4 + 120*T1*T2^4 + 5928*T1^2*T2^4 - 
     10718*T1^3*T2^4 - 806*T1^4*T2^4 + 13414*T1^5*T2^4 - 16742*T1^6*T2^4 + 
     4674*T1^7*T2^4 + 2000*T1^8*T2^4 - 888*T1^9*T2^4 - 9*T1^10*T2^4 + 
     197*T2^5 + 956*T1*T2^5 - 5524*T1^2*T2^5 + 3148*T1^3*T2^5 + 
     13414*T1^4*T2^5 - 19349*T1^5*T2^5 + 10345*T1^6*T2^5 + 6657*T1^7*T2^5 - 
     7666*T1^8*T2^5 + 1378*T1^9*T2^5 + 308*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 1384*T1^2*T2^6 + 5544*T1^3*T2^6 - 
     16742*T1^4*T2^6 + 10345*T1^5*T2^6 + 6024*T1^6*T2^6 - 16441*T1^7*T2^6 + 
     8056*T1^8*T2^6 + 1176*T1^9*T2^6 - 1468*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 548*T1^2*T2^7 - 4190*T1^3*T2^7 + 
     4674*T1^4*T2^7 + 6657*T1^5*T2^7 - 16441*T1^6*T2^7 + 13253*T1^7*T2^7 - 
     100*T1^8*T2^7 - 6140*T1^9*T2^7 + 2712*T1^10*T2^7 - 100*T1^11*T2^7 - 
     91*T1^12*T2^7 - 241*T1^2*T2^8 + 504*T1^3*T2^8 + 2000*T1^4*T2^8 - 
     7666*T1^5*T2^8 + 8056*T1^6*T2^8 - 100*T1^7*T2^8 - 7880*T1^8*T2^8 + 
     7726*T1^9*T2^8 - 1928*T1^10*T2^8 - 504*T1^11*T2^8 + 223*T1^12*T2^8 + 
     157*T1^3*T2^9 - 888*T1^4*T2^9 + 1378*T1^5*T2^9 + 1176*T1^6*T2^9 - 
     6140*T1^7*T2^9 + 7726*T1^8*T2^9 - 4434*T1^9*T2^9 - 188*T1^10*T2^9 + 
     1080*T1^11*T2^9 - 287*T1^12*T2^9 - 9*T1^4*T2^10 + 308*T1^5*T2^10 - 
     1468*T1^6*T2^10 + 2712*T1^7*T2^10 - 1928*T1^8*T2^10 - 188*T1^9*T2^10 + 
     1664*T1^10*T2^10 - 1084*T1^11*T2^10 + 223*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 100*T1^7*T2^11 - 504*T1^8*T2^11 + 1080*T1^9*T2^11 - 
     1084*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 223*T1^8*T2^12 - 287*T1^9*T2^12 + 223*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 79] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 18*T1 - 51*T1^2 + 90*T1^3 - 105*T1^4 + 90*T1^5 - 51*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 234*T1^2*T2 - 336*T1^3*T2 + 
      270*T1^4*T2 - 120*T1^5*T2 - 54*T1^6*T2 + 96*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 51*T2^2 + 234*T1*T2^2 - 454*T1^2*T2^2 + 418*T1^3*T2^2 + 
      61*T1^4*T2^2 - 446*T1^5*T2^2 + 673*T1^6*T2^2 - 398*T1^7*T2^2 + 
      90*T1^8*T2^2 + 30*T1^9*T2^2 - 17*T1^10*T2^2 + 90*T2^3 - 336*T1*T2^3 + 
      418*T1^2*T2^3 + 116*T1^3*T2^3 - 1163*T1^4*T2^3 + 1335*T1^5*T2^3 - 
      1065*T1^6*T2^3 - 59*T1^7*T2^3 + 560*T1^8*T2^3 - 398*T1^9*T2^3 + 
      102*T1^10*T2^3 - 105*T2^4 + 270*T1*T2^4 + 61*T1^2*T2^4 - 
      1163*T1^3*T2^4 + 2180*T1^4*T2^4 - 1073*T1^5*T2^4 - 264*T1^6*T2^4 + 
      2047*T1^7*T2^4 - 1700*T1^8*T2^4 + 397*T1^9*T2^4 + 281*T1^10*T2^4 - 
      210*T1^11*T2^4 + 35*T1^12*T2^4 + 90*T2^5 - 120*T1*T2^5 - 
      446*T1^2*T2^5 + 1335*T1^3*T2^5 - 1073*T1^4*T2^5 - 1796*T1^5*T2^5 + 
      3282*T1^6*T2^5 - 3708*T1^7*T2^5 + 994*T1^8*T2^5 + 1477*T1^9*T2^5 - 
      1305*T1^10*T2^5 + 274*T1^11*T2^5 + 150*T1^12*T2^5 - 60*T1^13*T2^5 - 
      51*T2^6 - 54*T1*T2^6 + 673*T1^2*T2^6 - 1065*T1^3*T2^6 - 264*T1^4*T2^6 + 
      3282*T1^5*T2^6 - 3015*T1^6*T2^6 + 885*T1^7*T2^6 + 2757*T1^8*T2^6 - 
      3858*T1^9*T2^6 + 746*T1^10*T2^6 + 975*T1^11*T2^6 - 723*T1^12*T2^6 + 
      54*T1^13*T2^6 + 51*T1^14*T2^6 + 18*T2^7 + 96*T1*T2^7 - 398*T1^2*T2^7 - 
      59*T1^3*T2^7 + 2047*T1^4*T2^7 - 3708*T1^5*T2^7 + 885*T1^6*T2^7 + 
      3104*T1^7*T2^7 - 4672*T1^8*T2^7 + 2601*T1^9*T2^7 + 2982*T1^10*T2^7 - 
      2783*T1^11*T2^7 + 661*T1^12*T2^7 + 418*T1^13*T2^7 - 162*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 90*T1^2*T2^8 + 560*T1^3*T2^8 - 
      1700*T1^4*T2^8 + 994*T1^5*T2^8 + 2757*T1^6*T2^8 - 4672*T1^7*T2^8 + 
      780*T1^8*T2^8 + 3392*T1^9*T2^8 - 7483*T1^10*T2^8 + 2434*T1^11*T2^8 + 
      952*T1^12*T2^8 - 1144*T1^13*T2^8 + 86*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 30*T1^2*T2^9 - 398*T1^3*T2^9 + 
      397*T1^4*T2^9 + 1477*T1^5*T2^9 - 3858*T1^6*T2^9 + 2601*T1^7*T2^9 + 
      3392*T1^8*T2^9 - 4384*T1^9*T2^9 + 4317*T1^10*T2^9 + 2832*T1^11*T2^9 - 
      3353*T1^12*T2^9 + 1117*T1^13*T2^9 + 418*T1^14*T2^9 - 228*T1^15*T2^9 - 
      30*T1^16*T2^9 - 17*T1^2*T2^10 + 102*T1^3*T2^10 + 281*T1^4*T2^10 - 
      1305*T1^5*T2^10 + 746*T1^6*T2^10 + 2982*T1^7*T2^10 - 7483*T1^8*T2^10 + 
      4317*T1^9*T2^10 - 1711*T1^10*T2^10 - 4158*T1^11*T2^10 + 
      1756*T1^12*T2^10 + 735*T1^13*T2^10 - 1115*T1^14*T2^10 + 
      210*T1^15*T2^10 + 85*T1^16*T2^10 - 210*T1^4*T2^11 + 274*T1^5*T2^11 + 
      975*T1^6*T2^11 - 2783*T1^7*T2^11 + 2434*T1^8*T2^11 + 2832*T1^9*T2^11 - 
      4158*T1^10*T2^11 + 5224*T1^11*T2^11 - 233*T1^12*T2^11 - 
      1665*T1^13*T2^11 + 994*T1^14*T2^11 + 60*T1^15*T2^11 - 150*T1^16*T2^11 + 
      35*T1^4*T2^12 + 150*T1^5*T2^12 - 723*T1^6*T2^12 + 661*T1^7*T2^12 + 
      952*T1^8*T2^12 - 3353*T1^9*T2^12 + 1756*T1^10*T2^12 - 233*T1^11*T2^12 - 
      2928*T1^12*T2^12 + 2221*T1^13*T2^12 - 503*T1^14*T2^12 - 
      330*T1^15*T2^12 + 175*T1^16*T2^12 - 60*T1^5*T2^13 + 54*T1^6*T2^13 + 
      418*T1^7*T2^13 - 1144*T1^8*T2^13 + 1117*T1^9*T2^13 + 735*T1^10*T2^13 - 
      1665*T1^11*T2^13 + 2221*T1^12*T2^13 - 700*T1^13*T2^13 - 
      398*T1^14*T2^13 + 492*T1^15*T2^13 - 150*T1^16*T2^13 + 51*T1^6*T2^14 - 
      162*T1^7*T2^14 + 86*T1^8*T2^14 + 418*T1^9*T2^14 - 1115*T1^10*T2^14 + 
      994*T1^11*T2^14 - 503*T1^12*T2^14 - 398*T1^13*T2^14 + 630*T1^14*T2^14 - 
      366*T1^15*T2^14 + 85*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 
      228*T1^9*T2^15 + 210*T1^10*T2^15 + 60*T1^11*T2^15 - 330*T1^12*T2^15 + 
      492*T1^13*T2^15 - 366*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 
      5*T1^8*T2^16 - 30*T1^9*T2^16 + 85*T1^10*T2^16 - 150*T1^11*T2^16 + 
      175*T1^12*T2^16 - 150*T1^13*T2^16 + 85*T1^14*T2^16 - 30*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 80] -> 
  {(1 - 6*T + 16*T^2 - 28*T^3 + 35*T^4 - 28*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 112*T1^3 - 140*T1^4 + 112*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 384*T1^3*T2 + 
     336*T1^4*T2 - 42*T1^5*T2 - 120*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 409*T1^2*T2^2 + 259*T1^3*T2^2 + 
     269*T1^4*T2^2 - 1089*T1^5*T2^2 + 877*T1^6*T2^2 - 445*T1^7*T2^2 + 
     71*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 112*T2^3 - 384*T1*T2^3 + 
     259*T1^2*T2^3 + 346*T1^3*T2^3 - 1253*T1^4*T2^3 + 2023*T1^5*T2^3 - 
     329*T1^6*T2^3 - 473*T1^7*T2^3 + 670*T1^8*T2^3 - 413*T1^9*T2^3 + 
     24*T1^10*T2^3 + 28*T1^11*T2^3 - 140*T2^4 + 336*T1*T2^4 + 269*T1^2*T2^4 - 
     1253*T1^3*T2^4 + 2057*T1^4*T2^4 - 2004*T1^5*T2^4 - 1453*T1^6*T2^4 + 
     1300*T1^7*T2^4 - 575*T1^8*T2^4 - 133*T1^9*T2^4 + 493*T1^10*T2^4 - 
     168*T1^11*T2^4 + 112*T2^5 - 42*T1*T2^5 - 1089*T1^2*T2^5 + 
     2023*T1^3*T2^5 - 2004*T1^4*T2^5 + 686*T1^5*T2^5 + 3249*T1^6*T2^5 - 
     335*T1^7*T2^5 - 1372*T1^8*T2^5 + 1510*T1^9*T2^5 - 1001*T1^10*T2^5 + 
     3*T1^11*T2^5 + 168*T1^12*T2^5 - 28*T1^13*T2^5 - 64*T2^6 - 120*T1*T2^6 + 
     877*T1^2*T2^6 - 329*T1^3*T2^6 - 1453*T1^4*T2^6 + 3249*T1^5*T2^6 - 
     4668*T1^6*T2^6 - 1816*T1^7*T2^6 + 3268*T1^8*T2^6 - 1231*T1^9*T2^6 - 
     109*T1^10*T2^6 + 1015*T1^11*T2^6 - 499*T1^12*T2^6 - 24*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 445*T1^2*T2^7 - 473*T1^3*T2^7 + 
     1300*T1^4*T2^7 - 335*T1^5*T2^7 - 1816*T1^6*T2^7 + 7706*T1^7*T2^7 - 
     5164*T1^8*T2^7 - 552*T1^9*T2^7 + 1457*T1^10*T2^7 - 1374*T1^11*T2^7 + 
     107*T1^12*T2^7 + 419*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 71*T1^2*T2^8 + 670*T1^3*T2^8 - 575*T1^4*T2^8 - 
     1372*T1^5*T2^8 + 3268*T1^6*T2^8 - 5164*T1^7*T2^8 + 180*T1^8*T2^8 + 
     5292*T1^9*T2^8 - 2332*T1^10*T2^8 + 812*T1^11*T2^8 + 633*T1^12*T2^8 - 
     674*T1^13*T2^8 - 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 413*T1^3*T2^9 - 133*T1^4*T2^9 + 
     1510*T1^5*T2^9 - 1231*T1^6*T2^9 - 552*T1^7*T2^9 + 5292*T1^8*T2^9 - 
     7578*T1^9*T2^9 + 712*T1^10*T2^9 + 561*T1^11*T2^9 - 1164*T1^12*T2^9 + 
     447*T1^13*T2^9 + 451*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 24*T1^3*T2^10 + 493*T1^4*T2^10 - 1001*T1^5*T2^10 - 
     109*T1^6*T2^10 + 1457*T1^7*T2^10 - 2332*T1^8*T2^10 + 712*T1^9*T2^10 + 
     5604*T1^10*T2^10 - 3023*T1^11*T2^10 + 1235*T1^12*T2^10 + 
     343*T1^13*T2^10 - 883*T1^14*T2^10 + 120*T1^15*T2^10 + 64*T1^16*T2^10 + 
     28*T1^3*T2^11 - 168*T1^4*T2^11 + 3*T1^5*T2^11 + 1015*T1^6*T2^11 - 
     1374*T1^7*T2^11 + 812*T1^8*T2^11 + 561*T1^9*T2^11 - 3023*T1^10*T2^11 - 
     1246*T1^11*T2^11 + 2140*T1^12*T2^11 - 2009*T1^13*T2^11 + 
     1095*T1^14*T2^11 + 42*T1^15*T2^11 - 112*T1^16*T2^11 + 168*T1^5*T2^12 - 
     499*T1^6*T2^12 + 107*T1^7*T2^12 + 633*T1^8*T2^12 - 1164*T1^9*T2^12 + 
     1235*T1^10*T2^12 + 2140*T1^11*T2^12 - 1999*T1^12*T2^12 + 
     1227*T1^13*T2^12 - 275*T1^14*T2^12 - 336*T1^15*T2^12 + 140*T1^16*T2^12 - 
     28*T1^5*T2^13 - 24*T1^6*T2^13 + 419*T1^7*T2^13 - 674*T1^8*T2^13 + 
     447*T1^9*T2^13 + 343*T1^10*T2^13 - 2009*T1^11*T2^13 + 1227*T1^12*T2^13 - 
     350*T1^13*T2^13 - 253*T1^14*T2^13 + 384*T1^15*T2^13 - 112*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 73*T1^8*T2^14 + 451*T1^9*T2^14 - 
     883*T1^10*T2^14 + 1095*T1^11*T2^14 - 275*T1^12*T2^14 - 253*T1^13*T2^14 + 
     407*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 120*T1^10*T2^15 + 42*T1^11*T2^15 - 
     336*T1^12*T2^15 + 384*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     112*T1^11*T2^16 + 140*T1^12*T2^16 - 112*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 81] -> 
  {-((1 - 6*T + 16*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 130*T1^3 - 145*T1^4 + 130*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      396*T1^3*T2 + 246*T1^4*T2 - 84*T1^5*T2 - 144*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 + 
      57*T1^3*T2^2 + 673*T1^4*T2^2 - 873*T1^5*T2^2 + 1089*T1^6*T2^2 - 
      583*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      130*T2^3 - 396*T1*T2^3 + 57*T1^2*T2^3 + 1124*T1^3*T2^3 - 
      1974*T1^4*T2^3 + 1143*T1^5*T2^3 - 861*T1^6*T2^3 - 672*T1^7*T2^3 + 
      1118*T1^8*T2^3 - 519*T1^9*T2^3 - 24*T1^10*T2^3 + 52*T1^11*T2^3 - 
      145*T2^4 + 246*T1*T2^4 + 673*T1^2*T2^4 - 1974*T1^3*T2^4 + 
      1559*T1^4*T2^4 + 988*T1^5*T2^4 - 1097*T1^6*T2^4 + 2724*T1^7*T2^4 - 
      1433*T1^8*T2^4 - 310*T1^9*T2^4 + 657*T1^10*T2^4 - 138*T1^11*T2^4 - 
      29*T1^12*T2^4 + 130*T2^5 - 84*T1*T2^5 - 873*T1^2*T2^5 + 
      1143*T1^3*T2^5 + 988*T1^4*T2^5 - 3700*T1^5*T2^5 + 1706*T1^6*T2^5 - 
      2110*T1^7*T2^5 - 988*T1^8*T2^5 + 2160*T1^9*T2^5 - 917*T1^10*T2^5 - 
      237*T1^11*T2^5 + 174*T1^12*T2^5 - 80*T2^6 - 144*T1*T2^6 + 
      1089*T1^2*T2^6 - 861*T1^3*T2^6 - 1097*T1^4*T2^6 + 1706*T1^5*T2^6 + 
      2199*T1^6*T2^6 - 1413*T1^7*T2^6 + 3223*T1^8*T2^6 - 1878*T1^9*T2^6 - 
      617*T1^10*T2^6 + 1059*T1^11*T2^6 - 191*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 583*T1^2*T2^7 - 672*T1^3*T2^7 + 
      2724*T1^4*T2^7 - 2110*T1^5*T2^7 - 1413*T1^6*T2^7 - 662*T1^7*T2^7 + 
      18*T1^8*T2^7 - 1137*T1^9*T2^7 + 2170*T1^10*T2^7 - 704*T1^11*T2^7 - 
      526*T1^12*T2^7 + 377*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1118*T1^3*T2^8 - 1433*T1^4*T2^8 - 
      988*T1^5*T2^8 + 3223*T1^6*T2^8 + 18*T1^7*T2^8 - 132*T1^8*T2^8 + 
      306*T1^9*T2^8 - 633*T1^10*T2^8 - 1276*T1^11*T2^8 + 1455*T1^12*T2^8 - 
      426*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 519*T1^3*T2^9 - 310*T1^4*T2^9 + 
      2160*T1^5*T2^9 - 1878*T1^6*T2^9 - 1137*T1^7*T2^9 + 306*T1^8*T2^9 + 
      986*T1^9*T2^9 - 861*T1^10*T2^9 + 2402*T1^11*T2^9 - 1268*T1^12*T2^9 - 
      164*T1^13*T2^9 + 441*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 24*T1^3*T2^10 + 657*T1^4*T2^10 - 917*T1^5*T2^10 - 
      617*T1^6*T2^10 + 2170*T1^7*T2^10 - 633*T1^8*T2^10 - 861*T1^9*T2^10 + 
      391*T1^10*T2^10 - 1414*T1^11*T2^10 - 137*T1^12*T2^10 + 
      1003*T1^13*T2^10 - 623*T1^14*T2^10 + 24*T1^15*T2^10 + 48*T1^16*T2^10 + 
      52*T1^3*T2^11 - 138*T1^4*T2^11 - 237*T1^5*T2^11 + 1059*T1^6*T2^11 - 
      704*T1^7*T2^11 - 1276*T1^8*T2^11 + 2402*T1^9*T2^11 - 1414*T1^10*T2^11 + 
      1436*T1^11*T2^11 + 468*T1^12*T2^11 - 1001*T1^13*T2^11 + 
      399*T1^14*T2^11 + 120*T1^15*T2^11 - 78*T1^16*T2^11 - 29*T1^4*T2^12 + 
      174*T1^5*T2^12 - 191*T1^6*T2^12 - 526*T1^7*T2^12 + 1455*T1^8*T2^12 - 
      1268*T1^9*T2^12 - 137*T1^10*T2^12 + 468*T1^11*T2^12 - 
      1537*T1^12*T2^12 + 1138*T1^13*T2^12 - 207*T1^14*T2^12 - 
      210*T1^15*T2^12 + 87*T1^16*T2^12 - 96*T1^6*T2^13 + 377*T1^7*T2^13 - 
      426*T1^8*T2^13 - 164*T1^9*T2^13 + 1003*T1^10*T2^13 - 1001*T1^11*T2^13 + 
      1138*T1^12*T2^13 - 432*T1^13*T2^13 - 199*T1^14*T2^13 + 
      276*T1^15*T2^13 - 78*T1^16*T2^13 + 16*T1^6*T2^14 - 24*T1^7*T2^14 - 
      127*T1^8*T2^14 + 441*T1^9*T2^14 - 623*T1^10*T2^14 + 399*T1^11*T2^14 - 
      207*T1^12*T2^14 - 199*T1^13*T2^14 + 353*T1^14*T2^14 - 216*T1^15*T2^14 + 
      48*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 84*T1^9*T2^15 + 
      24*T1^10*T2^15 + 120*T1^11*T2^15 - 210*T1^12*T2^15 + 276*T1^13*T2^15 - 
      216*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 48*T1^10*T2^16 - 78*T1^11*T2^16 + 87*T1^12*T2^16 - 
      78*T1^13*T2^16 + 48*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 82] -> 
  {-((1 - 5*T + 12*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 36*T1^2 + 57*T1^3 - 63*T1^4 + 57*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 165*T1^3*T2 + 
      125*T1^4*T2 - 75*T1^5*T2 - 10*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 147*T1^3*T2^2 + 
      42*T1^4*T2^2 - 126*T1^5*T2^2 + 258*T1^6*T2^2 - 189*T1^7*T2^2 + 
      70*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 57*T2^3 - 165*T1*T2^3 + 
      147*T1^2*T2^3 + 35*T1^3*T2^3 - 330*T1^4*T2^3 + 273*T1^5*T2^3 - 
      360*T1^6*T2^3 + 48*T1^7*T2^3 + 155*T1^8*T2^3 - 177*T1^9*T2^3 + 
      60*T1^10*T2^3 - 63*T2^4 + 125*T1*T2^4 + 42*T1^2*T2^4 - 330*T1^3*T2^4 + 
      596*T1^4*T2^4 - 260*T1^5*T2^4 + 290*T1^6*T2^4 + 274*T1^7*T2^4 - 
      384*T1^8*T2^4 + 164*T1^9*T2^4 + 100*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 57*T2^5 - 75*T1*T2^5 - 126*T1^2*T2^5 + 273*T1^3*T2^5 - 
      260*T1^4*T2^5 - 366*T1^5*T2^5 + 234*T1^6*T2^5 - 736*T1^7*T2^5 + 
      412*T1^8*T2^5 + 169*T1^9*T2^5 - 334*T1^10*T2^5 + 81*T1^11*T2^5 + 
      85*T1^12*T2^5 - 38*T1^13*T2^5 - 36*T2^6 - 10*T1*T2^6 + 258*T1^2*T2^6 - 
      360*T1^3*T2^6 + 290*T1^4*T2^6 + 234*T1^5*T2^6 + 138*T1^6*T2^6 + 
      270*T1^7*T2^6 + 146*T1^8*T2^6 - 590*T1^9*T2^6 + 126*T1^10*T2^6 + 
      312*T1^11*T2^6 - 274*T1^12*T2^6 + 10*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 189*T1^2*T2^7 + 48*T1^3*T2^7 + 274*T1^4*T2^7 - 
      736*T1^5*T2^7 + 270*T1^6*T2^7 - 420*T1^7*T2^7 - 66*T1^8*T2^7 + 
      435*T1^9*T2^7 + 526*T1^10*T2^7 - 575*T1^11*T2^7 + 134*T1^12*T2^7 + 
      207*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      70*T1^2*T2^8 + 155*T1^3*T2^8 - 384*T1^4*T2^8 + 412*T1^5*T2^8 + 
      146*T1^6*T2^8 - 66*T1^7*T2^8 - 22*T1^9*T2^8 - 1196*T1^10*T2^8 + 
      408*T1^11*T2^8 + 236*T1^12*T2^8 - 355*T1^13*T2^8 - 8*T1^14*T2^8 + 
      75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 10*T1^2*T2^9 - 
      177*T1^3*T2^9 + 164*T1^4*T2^9 + 169*T1^5*T2^9 - 590*T1^6*T2^9 + 
      435*T1^7*T2^9 - 22*T1^8*T2^9 + 332*T1^9*T2^9 + 600*T1^10*T2^9 + 
      672*T1^11*T2^9 - 680*T1^12*T2^9 + 250*T1^13*T2^9 + 219*T1^14*T2^9 - 
      115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 60*T1^3*T2^10 + 
      100*T1^4*T2^10 - 334*T1^5*T2^10 + 126*T1^6*T2^10 + 526*T1^7*T2^10 - 
      1196*T1^8*T2^10 + 600*T1^9*T2^10 - 1188*T1^10*T2^10 - 298*T1^11*T2^10 - 
      38*T1^12*T2^10 + 338*T1^13*T2^10 - 432*T1^14*T2^10 + 80*T1^15*T2^10 + 
      60*T1^16*T2^10 - 105*T1^4*T2^11 + 81*T1^5*T2^11 + 312*T1^6*T2^11 - 
      575*T1^7*T2^11 + 408*T1^8*T2^11 + 672*T1^9*T2^11 - 298*T1^10*T2^11 + 
      1186*T1^11*T2^11 - 146*T1^12*T2^11 - 295*T1^13*T2^11 + 
      288*T1^14*T2^11 + 55*T1^15*T2^11 - 95*T1^16*T2^11 + 21*T1^4*T2^12 + 
      85*T1^5*T2^12 - 274*T1^6*T2^12 + 134*T1^7*T2^12 + 236*T1^8*T2^12 - 
      680*T1^9*T2^12 - 38*T1^10*T2^12 - 146*T1^11*T2^12 - 744*T1^12*T2^12 + 
      628*T1^13*T2^12 - 216*T1^14*T2^12 - 145*T1^15*T2^12 + 105*T1^16*T2^12 - 
      38*T1^5*T2^13 + 10*T1^6*T2^13 + 207*T1^7*T2^13 - 355*T1^8*T2^13 + 
      250*T1^9*T2^13 + 338*T1^10*T2^13 - 295*T1^11*T2^13 + 628*T1^12*T2^13 - 
      235*T1^13*T2^13 - 117*T1^14*T2^13 + 235*T1^15*T2^13 - 95*T1^16*T2^13 + 
      36*T1^6*T2^14 - 80*T1^7*T2^14 - 8*T1^8*T2^14 + 219*T1^9*T2^14 - 
      432*T1^10*T2^14 + 288*T1^11*T2^14 - 216*T1^12*T2^14 - 117*T1^13*T2^14 + 
      256*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 115*T1^9*T2^15 + 80*T1^10*T2^15 + 55*T1^11*T2^15 - 
      145*T1^12*T2^15 + 235*T1^13*T2^15 - 200*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 60*T1^10*T2^16 - 
      95*T1^11*T2^16 + 105*T1^12*T2^16 - 95*T1^13*T2^16 + 60*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 83] -> 
  {(1 - 5*T + 14*T^2 - 23*T^3 + 27*T^4 - 23*T^5 + 14*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 84*T1^2 + 138*T1^3 - 162*T1^4 + 138*T1^5 - 84*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 295*T1^2*T2 - 340*T1^3*T2 + 
     235*T1^4*T2 - 15*T1^5*T2 - 155*T1^6*T2 + 200*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 84*T2^2 + 295*T1*T2^2 - 605*T1^2*T2^2 + 451*T1^3*T2^2 - 
     149*T1^4*T2^2 - 191*T1^5*T2^2 + 215*T1^6*T2^2 - 53*T1^7*T2^2 - 
     241*T1^8*T2^2 + 155*T1^9*T2^2 - 56*T1^10*T2^2 + 138*T2^3 - 340*T1*T2^3 + 
     451*T1^2*T2^3 + 433*T1^3*T2^3 - 819*T1^4*T2^3 + 834*T1^5*T2^3 - 
     113*T1^6*T2^3 - 437*T1^7*T2^3 + 759*T1^8*T2^3 - 95*T1^9*T2^3 - 
     65*T1^10*T2^3 + 69*T1^11*T2^3 - 162*T2^4 + 235*T1*T2^4 - 149*T1^2*T2^4 - 
     819*T1^3*T2^4 - 335*T1^4*T2^4 + 1662*T1^5*T2^4 - 3055*T1^6*T2^4 + 
     2708*T1^7*T2^4 - 1667*T1^8*T2^4 - 313*T1^9*T2^4 + 213*T1^10*T2^4 - 
     75*T1^11*T2^4 - 54*T1^12*T2^4 + 138*T2^5 - 15*T1*T2^5 - 191*T1^2*T2^5 + 
     834*T1^3*T2^5 + 1662*T1^4*T2^5 - 2620*T1^5*T2^5 + 2724*T1^6*T2^5 - 
     576*T1^7*T2^5 - 906*T1^8*T2^5 + 2159*T1^9*T2^5 - 259*T1^10*T2^5 - 
     98*T1^11*T2^5 + 155*T1^12*T2^5 + 23*T1^13*T2^5 - 84*T2^6 - 155*T1*T2^6 + 
     215*T1^2*T2^6 - 113*T1^3*T2^6 - 3055*T1^4*T2^6 + 2724*T1^5*T2^6 - 
     1635*T1^6*T2^6 - 791*T1^7*T2^6 + 1005*T1^8*T2^6 - 856*T1^9*T2^6 - 
     1539*T1^10*T2^6 + 615*T1^11*T2^6 - 153*T1^12*T2^6 - 115*T1^13*T2^6 + 
     30*T2^7 + 200*T1*T2^7 - 53*T1^2*T2^7 - 437*T1^3*T2^7 + 2708*T1^4*T2^7 - 
     576*T1^5*T2^7 - 791*T1^6*T2^7 + 1698*T1^7*T2^7 - 50*T1^8*T2^7 - 
     816*T1^9*T2^7 + 2164*T1^10*T2^7 + 15*T1^11*T2^7 - 323*T1^12*T2^7 + 
     241*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     241*T1^2*T2^8 + 759*T1^3*T2^8 - 1667*T1^4*T2^8 - 906*T1^5*T2^8 + 
     1005*T1^6*T2^8 - 50*T1^7*T2^8 - 1752*T1^8*T2^8 + 1502*T1^9*T2^8 - 
     993*T1^10*T2^8 - 1318*T1^11*T2^8 + 785*T1^12*T2^8 - 187*T1^13*T2^8 - 
     95*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     155*T1^2*T2^9 - 95*T1^3*T2^9 - 313*T1^4*T2^9 + 2159*T1^5*T2^9 - 
     856*T1^6*T2^9 - 816*T1^7*T2^9 + 1502*T1^8*T2^9 - 246*T1^9*T2^9 - 
     841*T1^10*T2^9 + 1884*T1^11*T2^9 - 534*T1^12*T2^9 - 199*T1^13*T2^9 + 
     199*T1^14*T2^9 - 20*T1^15*T2^9 - 10*T1^16*T2^9 - 56*T1^2*T2^10 - 
     65*T1^3*T2^10 + 213*T1^4*T2^10 - 259*T1^5*T2^10 - 1539*T1^6*T2^10 + 
     2164*T1^7*T2^10 - 993*T1^8*T2^10 - 841*T1^9*T2^10 + 1647*T1^10*T2^10 - 
     1416*T1^11*T2^10 - 23*T1^12*T2^10 + 469*T1^13*T2^10 - 155*T1^14*T2^10 - 
     25*T1^15*T2^10 + 28*T1^16*T2^10 + 69*T1^3*T2^11 - 75*T1^4*T2^11 - 
     98*T1^5*T2^11 + 615*T1^6*T2^11 + 15*T1^7*T2^11 - 1318*T1^8*T2^11 + 
     1884*T1^9*T2^11 - 1416*T1^10*T2^11 + 396*T1^11*T2^11 + 512*T1^12*T2^11 - 
     478*T1^13*T2^11 - 5*T1^14*T2^11 + 95*T1^15*T2^11 - 46*T1^16*T2^11 - 
     54*T1^4*T2^12 + 155*T1^5*T2^12 - 153*T1^6*T2^12 - 323*T1^7*T2^12 + 
     785*T1^8*T2^12 - 534*T1^9*T2^12 - 23*T1^10*T2^12 + 512*T1^11*T2^12 - 
     547*T1^12*T2^12 + 183*T1^13*T2^12 + 209*T1^14*T2^12 - 155*T1^15*T2^12 + 
     54*T1^16*T2^12 + 23*T1^5*T2^13 - 115*T1^6*T2^13 + 241*T1^7*T2^13 - 
     187*T1^8*T2^13 - 199*T1^9*T2^13 + 469*T1^10*T2^13 - 478*T1^11*T2^13 + 
     183*T1^12*T2^13 + 139*T1^13*T2^13 - 305*T1^14*T2^13 + 160*T1^15*T2^13 - 
     46*T1^16*T2^13 + 25*T1^7*T2^14 - 95*T1^8*T2^14 + 199*T1^9*T2^14 - 
     155*T1^10*T2^14 - 5*T1^11*T2^14 + 209*T1^12*T2^14 - 305*T1^13*T2^14 + 
     269*T1^14*T2^14 - 115*T1^15*T2^14 + 28*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 20*T1^9*T2^15 - 25*T1^10*T2^15 + 95*T1^11*T2^15 - 
     155*T1^12*T2^15 + 160*T1^13*T2^15 - 115*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 28*T1^10*T2^16 - 
     46*T1^11*T2^16 + 54*T1^12*T2^16 - 46*T1^13*T2^16 + 28*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 84] -> 
  {-((2 - 10*T + 23*T^2 - 31*T^3 + 23*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 265*T1^2 + 357*T1^3 - 265*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 950*T1^2*T2 - 920*T1^3*T2 + 160*T1^4*T2 + 
      290*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 265*T2^2 + 950*T1*T2^2 - 
      1257*T1^2*T2^2 + 195*T1^3*T2^2 + 1829*T1^4*T2^2 - 1737*T1^5*T2^2 + 
      675*T1^6*T2^2 + 30*T1^7*T2^2 - 81*T1^8*T2^2 + 357*T2^3 - 920*T1*T2^3 + 
      195*T1^2*T2^3 + 2358*T1^3*T2^3 - 4538*T1^4*T2^3 + 1744*T1^5*T2^3 + 
      906*T1^6*T2^3 - 1323*T1^7*T2^3 + 480*T1^8*T2^3 - 15*T1^9*T2^3 - 
      265*T2^4 + 160*T1*T2^4 + 1829*T1^2*T2^4 - 4538*T1^3*T2^4 + 
      4062*T1^4*T2^4 + 2574*T1^5*T2^4 - 5094*T1^6*T2^4 + 2778*T1^7*T2^4 - 
      139*T1^8*T2^4 - 440*T1^9*T2^4 + 103*T1^10*T2^4 + 115*T2^5 + 
      290*T1*T2^5 - 1737*T1^2*T2^5 + 1744*T1^3*T2^5 + 2574*T1^4*T2^5 - 
      9457*T1^5*T2^5 + 7475*T1^6*T2^5 - 485*T1^7*T2^5 - 2470*T1^8*T2^5 + 
      1437*T1^9*T2^5 - 90*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 675*T1^2*T2^6 + 906*T1^3*T2^6 - 5094*T1^4*T2^6 + 
      7475*T1^5*T2^6 - 1116*T1^6*T2^6 - 6583*T1^7*T2^6 + 5276*T1^8*T2^6 - 
      1218*T1^9*T2^6 - 657*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 + 30*T1^2*T2^7 - 1323*T1^3*T2^7 + 2778*T1^4*T2^7 - 
      485*T1^5*T2^7 - 6583*T1^6*T2^7 + 10349*T1^7*T2^7 - 3544*T1^8*T2^7 - 
      1436*T1^9*T2^7 + 1851*T1^10*T2^7 - 350*T1^11*T2^7 - 125*T1^12*T2^7 - 
      81*T1^2*T2^8 + 480*T1^3*T2^8 - 139*T1^4*T2^8 - 2470*T1^5*T2^8 + 
      5276*T1^6*T2^8 - 3544*T1^7*T2^8 - 3880*T1^8*T2^8 + 4846*T1^9*T2^8 - 
      2107*T1^10*T2^8 - 120*T1^11*T2^8 + 287*T1^12*T2^8 - 15*T1^3*T2^9 - 
      440*T1^4*T2^9 + 1437*T1^5*T2^9 - 1218*T1^6*T2^9 - 1436*T1^7*T2^9 + 
      4846*T1^8*T2^9 - 2670*T1^9*T2^9 - 81*T1^10*T2^9 + 960*T1^11*T2^9 - 
      387*T1^12*T2^9 + 103*T1^4*T2^10 - 90*T1^5*T2^10 - 657*T1^6*T2^10 + 
      1851*T1^7*T2^10 - 2107*T1^8*T2^10 - 81*T1^9*T2^10 + 1275*T1^10*T2^10 - 
      1010*T1^11*T2^10 + 287*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      350*T1^7*T2^11 - 120*T1^8*T2^11 + 960*T1^9*T2^11 - 1010*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      287*T1^8*T2^12 - 387*T1^9*T2^12 + 287*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 85] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 413*T1^2 + 545*T1^3 - 413*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1440*T1^2*T2 - 1160*T1^3*T2 + 740*T1^5*T2 - 
     460*T1^6*T2 + 125*T1^7*T2 - 413*T2^2 + 1440*T1*T2^2 - 2255*T1^2*T2^2 + 
     47*T1^3*T2^2 + 2513*T1^4*T2^2 - 2253*T1^5*T2^2 + 45*T1^6*T2^2 + 
     440*T1^7*T2^2 - 213*T1^8*T2^2 + 545*T2^3 - 1160*T1*T2^3 + 47*T1^2*T2^3 + 
     5462*T1^3*T2^3 - 6474*T1^4*T2^3 + 1096*T1^5*T2^3 + 3642*T1^6*T2^3 - 
     1903*T1^7*T2^3 + 320*T1^8*T2^3 + 149*T1^9*T2^3 - 413*T2^4 + 
     2513*T1^2*T2^4 - 6474*T1^3*T2^4 - 782*T1^4*T2^4 + 11138*T1^5*T2^4 - 
     11362*T1^6*T2^4 + 2106*T1^7*T2^4 + 913*T1^8*T2^4 - 680*T1^9*T2^4 - 
     13*T1^10*T2^4 + 165*T2^5 + 740*T1*T2^5 - 2253*T1^2*T2^5 + 
     1096*T1^3*T2^5 + 11138*T1^4*T2^5 - 16427*T1^5*T2^5 + 6373*T1^6*T2^5 + 
     6013*T1^7*T2^5 - 4454*T1^8*T2^5 + 1097*T1^9*T2^5 + 240*T1^10*T2^5 - 
     35*T1^11*T2^5 - 33*T2^6 - 460*T1*T2^6 + 45*T1^2*T2^6 + 3642*T1^3*T2^6 - 
     11362*T1^4*T2^6 + 6373*T1^5*T2^6 + 7812*T1^6*T2^6 - 13417*T1^7*T2^6 + 
     4788*T1^8*T2^6 + 350*T1^9*T2^6 - 855*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 440*T1^2*T2^7 - 1903*T1^3*T2^7 + 
     2106*T1^4*T2^7 + 6013*T1^5*T2^7 - 13417*T1^6*T2^7 + 9383*T1^7*T2^7 + 
     888*T1^8*T2^7 - 3444*T1^9*T2^7 + 1447*T1^10*T2^7 - 60*T1^11*T2^7 - 
     75*T1^12*T2^7 - 213*T1^2*T2^8 + 320*T1^3*T2^8 + 913*T1^4*T2^8 - 
     4454*T1^5*T2^8 + 4788*T1^6*T2^8 + 888*T1^7*T2^8 - 5792*T1^8*T2^8 + 
     4126*T1^9*T2^8 - 687*T1^10*T2^8 - 360*T1^11*T2^8 + 187*T1^12*T2^8 + 
     149*T1^3*T2^9 - 680*T1^4*T2^9 + 1097*T1^5*T2^9 + 350*T1^6*T2^9 - 
     3444*T1^7*T2^9 + 4126*T1^8*T2^9 - 1470*T1^9*T2^9 - 853*T1^10*T2^9 + 
     800*T1^11*T2^9 - 247*T1^12*T2^9 - 13*T1^4*T2^10 + 240*T1^5*T2^10 - 
     855*T1^6*T2^10 + 1447*T1^7*T2^10 - 687*T1^8*T2^10 - 853*T1^9*T2^10 + 
     1445*T1^10*T2^10 - 760*T1^11*T2^10 + 187*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 - 60*T1^7*T2^11 - 360*T1^8*T2^11 + 800*T1^9*T2^11 - 
     760*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 187*T1^8*T2^12 - 247*T1^9*T2^12 + 187*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 86] -> 
  {-(((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 90*T1^3 - 95*T1^4 + 90*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 210*T1^3*T2 + 
      115*T1^4*T2 - 70*T1^5*T2 - 60*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 58*T1^3*T2^2 + 
      237*T1^4*T2^2 - 188*T1^5*T2^2 + 405*T1^6*T2^2 - 254*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 90*T2^3 - 210*T1*T2^3 + 
      58*T1^2*T2^3 + 410*T1^3*T2^3 - 665*T1^4*T2^3 + 163*T1^5*T2^3 - 
      437*T1^6*T2^3 - 161*T1^7*T2^3 + 416*T1^8*T2^3 - 230*T1^9*T2^3 + 
      36*T1^11*T2^3 - 95*T2^4 + 115*T1*T2^4 + 237*T1^2*T2^4 - 665*T1^3*T2^4 + 
      421*T1^4*T2^4 + 588*T1^5*T2^4 + 11*T1^6*T2^4 + 860*T1^7*T2^4 - 
      551*T1^8*T2^4 - 53*T1^9*T2^4 + 249*T1^10*T2^4 - 85*T1^11*T2^4 - 
      19*T1^12*T2^4 + 90*T2^5 - 70*T1*T2^5 - 188*T1^2*T2^5 + 163*T1^3*T2^5 + 
      588*T1^4*T2^5 - 1463*T1^5*T2^5 + 113*T1^6*T2^5 - 859*T1^7*T2^5 - 
      113*T1^8*T2^5 + 621*T1^9*T2^5 - 341*T1^10*T2^5 - 59*T1^11*T2^5 + 
      95*T1^12*T2^5 - 60*T2^6 - 60*T1*T2^6 + 405*T1^2*T2^6 - 437*T1^3*T2^6 + 
      11*T1^4*T2^6 + 113*T1^5*T2^6 + 1589*T1^6*T2^6 - 429*T1^7*T2^6 + 
      893*T1^8*T2^6 - 631*T1^9*T2^6 - 85*T1^10*T2^6 + 307*T1^11*T2^6 - 
      75*T1^12*T2^6 - 60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 
      254*T1^2*T2^7 - 161*T1^3*T2^7 + 860*T1^4*T2^7 - 859*T1^5*T2^7 - 
      429*T1^6*T2^7 - 1123*T1^7*T2^7 + 773*T1^8*T2^7 - 441*T1^9*T2^7 + 
      569*T1^10*T2^7 - 129*T1^11*T2^7 - 233*T1^12*T2^7 + 178*T1^13*T2^7 - 
      10*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 
      416*T1^3*T2^8 - 551*T1^4*T2^8 - 113*T1^5*T2^8 + 893*T1^6*T2^8 + 
      773*T1^7*T2^8 - 252*T1^8*T2^8 - 569*T1^9*T2^8 + 233*T1^10*T2^8 - 
      647*T1^11*T2^8 + 573*T1^12*T2^8 - 160*T1^13*T2^8 - 70*T1^14*T2^8 + 
      35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 
      230*T1^3*T2^9 - 53*T1^4*T2^9 + 621*T1^5*T2^9 - 631*T1^6*T2^9 - 
      441*T1^7*T2^9 - 569*T1^8*T2^9 + 1327*T1^9*T2^9 - 453*T1^10*T2^9 + 
      797*T1^11*T2^9 - 368*T1^12*T2^9 - 125*T1^13*T2^9 + 202*T1^14*T2^9 - 
      45*T1^15*T2^9 - 15*T1^16*T2^9 - 36*T1^2*T2^10 + 249*T1^4*T2^10 - 
      341*T1^5*T2^10 - 85*T1^6*T2^10 + 569*T1^7*T2^10 + 233*T1^8*T2^10 - 
      453*T1^9*T2^10 - 463*T1^10*T2^10 - 175*T1^11*T2^10 - 181*T1^12*T2^10 + 
      403*T1^13*T2^10 - 231*T1^14*T2^10 + 36*T1^16*T2^10 + 36*T1^3*T2^11 - 
      85*T1^4*T2^11 - 59*T1^5*T2^11 + 307*T1^6*T2^11 - 129*T1^7*T2^11 - 
      647*T1^8*T2^11 + 797*T1^9*T2^11 - 175*T1^10*T2^11 + 703*T1^11*T2^11 - 
      96*T1^12*T2^11 - 197*T1^13*T2^11 + 70*T1^14*T2^11 + 80*T1^15*T2^11 - 
      54*T1^16*T2^11 - 19*T1^4*T2^12 + 95*T1^5*T2^12 - 75*T1^6*T2^12 - 
      233*T1^7*T2^12 + 573*T1^8*T2^12 - 368*T1^9*T2^12 - 181*T1^10*T2^12 - 
      96*T1^11*T2^12 - 399*T1^12*T2^12 + 379*T1^13*T2^12 - 63*T1^14*T2^12 - 
      105*T1^15*T2^12 + 57*T1^16*T2^12 - 60*T1^6*T2^13 + 178*T1^7*T2^13 - 
      160*T1^8*T2^13 - 125*T1^9*T2^13 + 403*T1^10*T2^13 - 197*T1^11*T2^13 + 
      379*T1^12*T2^13 - 154*T1^13*T2^13 - 110*T1^14*T2^13 + 150*T1^15*T2^13 - 
      54*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 70*T1^8*T2^14 + 
      202*T1^9*T2^14 - 231*T1^10*T2^14 + 70*T1^11*T2^14 - 63*T1^12*T2^14 - 
      110*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 36*T1^16*T2^14 - 
      10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 80*T1^11*T2^15 - 
      105*T1^12*T2^15 + 150*T1^13*T2^15 - 130*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 36*T1^10*T2^16 - 
      54*T1^11*T2^16 + 57*T1^12*T2^16 - 54*T1^13*T2^16 + 36*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 87] -> 
  {-(((-2 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 2*T^3))/T^3), 
   -((-25 + 137*T1 - 348*T1^2 + 485*T1^3 - 348*T1^4 + 137*T1^5 - 25*T1^6 + 
      137*T2 - 658*T1*T2 + 1399*T1^2*T2 - 1367*T1^3*T2 + 107*T1^4*T2 + 
      541*T1^5*T2 - 372*T1^6*T2 + 93*T1^7*T2 - 348*T2^2 + 1399*T1*T2^2 - 
      2191*T1^2*T2^2 + 386*T1^3*T2^2 + 3249*T1^4*T2^2 - 2750*T1^5*T2^2 + 
      721*T1^6*T2^2 + 167*T1^7*T2^2 - 124*T1^8*T2^2 + 485*T2^3 - 
      1367*T1*T2^3 + 386*T1^2*T2^3 + 4780*T1^3*T2^3 - 8939*T1^4*T2^3 + 
      2571*T1^5*T2^3 + 2362*T1^6*T2^3 - 2162*T1^7*T2^3 + 591*T1^8*T2^3 + 
      17*T1^9*T2^3 - 348*T2^4 + 107*T1*T2^4 + 3249*T1^2*T2^4 - 
      8939*T1^3*T2^4 + 7033*T1^4*T2^4 + 7879*T1^5*T2^4 - 11167*T1^6*T2^4 + 
      4633*T1^7*T2^4 + 83*T1^8*T2^4 - 641*T1^9*T2^4 + 100*T1^10*T2^4 + 
      137*T2^5 + 541*T1*T2^5 - 2750*T1^2*T2^5 + 2571*T1^3*T2^5 + 
      7879*T1^4*T2^5 - 22982*T1^5*T2^5 + 15576*T1^6*T2^5 + 95*T1^7*T2^5 - 
      4815*T1^8*T2^5 + 2150*T1^9*T2^5 - 97*T1^10*T2^5 - 83*T1^11*T2^5 - 
      25*T2^6 - 372*T1*T2^6 + 721*T1^2*T2^6 + 2362*T1^3*T2^6 - 
      11167*T1^4*T2^6 + 15576*T1^5*T2^6 + 636*T1^6*T2^6 - 16008*T1^7*T2^6 + 
      11397*T1^8*T2^6 - 2270*T1^9*T2^6 - 795*T1^10*T2^6 + 332*T1^11*T2^6 + 
      23*T1^12*T2^6 + 93*T1*T2^7 + 167*T1^2*T2^7 - 2162*T1^3*T2^7 + 
      4633*T1^4*T2^7 + 95*T1^5*T2^7 - 16008*T1^6*T2^7 + 22550*T1^7*T2^7 - 
      7689*T1^8*T2^7 - 2753*T1^9*T2^7 + 2738*T1^10*T2^7 - 471*T1^11*T2^7 - 
      127*T1^12*T2^7 - 124*T1^2*T2^8 + 591*T1^3*T2^8 + 83*T1^4*T2^8 - 
      4815*T1^5*T2^8 + 11397*T1^6*T2^8 - 7689*T1^7*T2^8 - 6803*T1^8*T2^8 + 
      8757*T1^9*T2^8 - 3083*T1^10*T2^8 - 157*T1^11*T2^8 + 324*T1^12*T2^8 + 
      17*T1^3*T2^9 - 641*T1^4*T2^9 + 2150*T1^5*T2^9 - 2270*T1^6*T2^9 - 
      2753*T1^7*T2^9 + 8757*T1^8*T2^9 - 4688*T1^9*T2^9 - 398*T1^10*T2^9 + 
      1317*T1^11*T2^9 - 451*T1^12*T2^9 + 100*T1^4*T2^10 - 97*T1^5*T2^10 - 
      795*T1^6*T2^10 + 2738*T1^7*T2^10 - 3083*T1^8*T2^10 - 398*T1^9*T2^10 + 
      2117*T1^10*T2^10 - 1329*T1^11*T2^10 + 324*T1^12*T2^10 - 83*T1^5*T2^11 + 
      332*T1^6*T2^11 - 471*T1^7*T2^11 - 157*T1^8*T2^11 + 1317*T1^9*T2^11 - 
      1329*T1^10*T2^11 + 618*T1^11*T2^11 - 127*T1^12*T2^11 + 23*T1^6*T2^12 - 
      127*T1^7*T2^12 + 324*T1^8*T2^12 - 451*T1^9*T2^12 + 324*T1^10*T2^12 - 
      127*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 88] -> 
  {(1 - 5*T + 12*T^2 - 20*T^3 + 25*T^4 - 20*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 48*T1^2 + 80*T1^3 - 100*T1^4 + 80*T1^5 - 48*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 165*T1^2*T2 - 220*T1^3*T2 + 200*T1^4*T2 - 
     25*T1^5*T2 - 60*T1^6*T2 + 80*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     48*T2^2 + 165*T1*T2^2 - 225*T1^2*T2^2 + 180*T1^3*T2^2 + 13*T1^4*T2^2 - 
     435*T1^5*T2^2 + 325*T1^6*T2^2 - 180*T1^7*T2^2 + 39*T1^8*T2^2 + 
     45*T1^9*T2^2 - 24*T1^10*T2^2 + 80*T2^3 - 220*T1*T2^3 + 180*T1^2*T2^3 - 
     20*T1^3*T2^3 - 265*T1^4*T2^3 + 739*T1^5*T2^3 - 41*T1^6*T2^3 - 
     145*T1^7*T2^3 + 220*T1^8*T2^3 - 180*T1^9*T2^3 + 20*T1^10*T2^3 + 
     20*T1^11*T2^3 - 100*T2^4 + 200*T1*T2^4 + 13*T1^2*T2^4 - 265*T1^3*T2^4 + 
     565*T1^4*T2^4 - 939*T1^5*T2^4 - 395*T1^6*T2^4 + 161*T1^7*T2^4 - 
     35*T1^8*T2^4 - 65*T1^9*T2^4 + 213*T1^10*T2^4 - 100*T1^11*T2^4 + 
     80*T2^5 - 25*T1*T2^5 - 435*T1^2*T2^5 + 739*T1^3*T2^5 - 939*T1^4*T2^5 + 
     971*T1^5*T2^5 + 772*T1^6*T2^5 + 272*T1^7*T2^5 - 499*T1^8*T2^5 + 
     356*T1^9*T2^5 - 321*T1^10*T2^5 + 100*T1^12*T2^5 - 20*T1^13*T2^5 - 
     48*T2^6 - 60*T1*T2^6 + 325*T1^2*T2^6 - 41*T1^3*T2^6 - 395*T1^4*T2^6 + 
     772*T1^5*T2^6 - 1900*T1^6*T2^6 - 420*T1^7*T2^6 + 692*T1^8*T2^6 - 
     68*T1^9*T2^6 + 5*T1^10*T2^6 + 319*T1^11*T2^6 - 211*T1^12*T2^6 - 
     20*T1^13*T2^6 + 24*T1^14*T2^6 + 20*T2^7 + 80*T1*T2^7 - 180*T1^2*T2^7 - 
     145*T1^3*T2^7 + 161*T1^4*T2^7 + 272*T1^5*T2^7 - 420*T1^6*T2^7 + 
     2653*T1^7*T2^7 - 1697*T1^8*T2^7 - 140*T1^9*T2^7 + 92*T1^10*T2^7 - 
     354*T1^11*T2^7 + 55*T1^12*T2^7 + 180*T1^13*T2^7 - 45*T1^14*T2^7 - 
     15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 39*T1^2*T2^8 + 220*T1^3*T2^8 - 
     35*T1^4*T2^8 - 499*T1^5*T2^8 + 692*T1^6*T2^8 - 1697*T1^7*T2^8 + 
     132*T1^8*T2^8 + 1673*T1^9*T2^8 - 388*T1^10*T2^8 + 371*T1^11*T2^8 + 
     77*T1^12*T2^8 - 220*T1^13*T2^8 - 39*T1^14*T2^8 + 55*T1^15*T2^8 + 
     4*T1^16*T2^8 + 15*T1*T2^9 + 45*T1^2*T2^9 - 180*T1^3*T2^9 - 
     65*T1^4*T2^9 + 356*T1^5*T2^9 - 68*T1^6*T2^9 - 140*T1^7*T2^9 + 
     1673*T1^8*T2^9 - 2677*T1^9*T2^9 + 140*T1^10*T2^9 - 248*T1^11*T2^9 - 
     159*T1^12*T2^9 + 135*T1^13*T2^9 + 180*T1^14*T2^9 - 80*T1^15*T2^9 - 
     20*T1^16*T2^9 - 24*T1^2*T2^10 + 20*T1^3*T2^10 + 213*T1^4*T2^10 - 
     321*T1^5*T2^10 + 5*T1^6*T2^10 + 92*T1^7*T2^10 - 388*T1^8*T2^10 + 
     140*T1^9*T2^10 + 2204*T1^10*T2^10 - 748*T1^11*T2^10 + 405*T1^12*T2^10 + 
     39*T1^13*T2^10 - 323*T1^14*T2^10 + 60*T1^15*T2^10 + 48*T1^16*T2^10 + 
     20*T1^3*T2^11 - 100*T1^4*T2^11 + 319*T1^6*T2^11 - 354*T1^7*T2^11 + 
     371*T1^8*T2^11 - 248*T1^9*T2^11 - 748*T1^10*T2^11 - 1099*T1^11*T2^11 + 
     941*T1^12*T2^11 - 741*T1^13*T2^11 + 435*T1^14*T2^11 + 25*T1^15*T2^11 - 
     80*T1^16*T2^11 + 100*T1^5*T2^12 - 211*T1^6*T2^12 + 55*T1^7*T2^12 + 
     77*T1^8*T2^12 - 159*T1^9*T2^12 + 405*T1^10*T2^12 + 941*T1^11*T2^12 - 
     523*T1^12*T2^12 + 255*T1^13*T2^12 - 11*T1^14*T2^12 - 200*T1^15*T2^12 + 
     100*T1^16*T2^12 - 20*T1^5*T2^13 - 20*T1^6*T2^13 + 180*T1^7*T2^13 - 
     220*T1^8*T2^13 + 135*T1^9*T2^13 + 39*T1^10*T2^13 - 741*T1^11*T2^13 + 
     255*T1^12*T2^13 + 20*T1^13*T2^13 - 180*T1^14*T2^13 + 220*T1^15*T2^13 - 
     80*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 39*T1^8*T2^14 + 
     180*T1^9*T2^14 - 323*T1^10*T2^14 + 435*T1^11*T2^14 - 11*T1^12*T2^14 - 
     180*T1^13*T2^14 + 225*T1^14*T2^14 - 165*T1^15*T2^14 + 48*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 80*T1^9*T2^15 + 60*T1^10*T2^15 + 
     25*T1^11*T2^15 - 200*T1^12*T2^15 + 220*T1^13*T2^15 - 165*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     48*T1^10*T2^16 - 80*T1^11*T2^16 + 100*T1^12*T2^16 - 80*T1^13*T2^16 + 
     48*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 89] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 457*T1^2 + 569*T1^3 - 457*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 1844*T1^2*T2 - 1344*T1^3*T2 + 168*T1^4*T2 + 
     884*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 457*T2^2 + 1844*T1*T2^2 - 
     1284*T1^2*T2^2 - 2994*T1^3*T2^2 + 5766*T1^4*T2^2 - 5570*T1^5*T2^2 + 
     1628*T1^6*T2^2 + 500*T1^7*T2^2 - 233*T1^8*T2^2 + 569*T2^3 - 
     1344*T1*T2^3 - 2994*T1^2*T2^3 + 10608*T1^3*T2^3 - 9492*T1^4*T2^3 + 
     3276*T1^5*T2^3 + 4938*T1^6*T2^3 - 4170*T1^7*T2^3 + 504*T1^8*T2^3 + 
     149*T1^9*T2^3 - 457*T2^4 + 168*T1*T2^4 + 5766*T1^2*T2^4 - 
     9492*T1^3*T2^4 - 1224*T1^4*T2^4 + 11030*T1^5*T2^4 - 14720*T1^6*T2^4 + 
     4508*T1^7*T2^4 + 1958*T1^8*T2^4 - 840*T1^9*T2^4 - 9*T1^10*T2^4 + 
     197*T2^5 + 884*T1*T2^5 - 5570*T1^2*T2^5 + 3276*T1^3*T2^5 + 
     11030*T1^4*T2^5 - 14788*T1^5*T2^5 + 8312*T1^6*T2^5 + 5766*T1^7*T2^5 - 
     7028*T1^8*T2^5 + 1206*T1^9*T2^5 + 308*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 1628*T1^2*T2^6 + 4938*T1^3*T2^6 - 
     14720*T1^4*T2^6 + 8312*T1^5*T2^6 + 4500*T1^6*T2^6 - 13064*T1^7*T2^6 + 
     6560*T1^8*T2^6 + 1410*T1^9*T2^6 - 1476*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 500*T1^2*T2^7 - 4170*T1^3*T2^7 + 
     4508*T1^4*T2^7 + 5766*T1^5*T2^7 - 13064*T1^6*T2^7 + 10036*T1^7*T2^7 + 
     502*T1^8*T2^7 - 5796*T1^9*T2^7 + 2606*T1^10*T2^7 - 76*T1^11*T2^7 - 
     91*T1^12*T2^7 - 233*T1^2*T2^8 + 504*T1^3*T2^8 + 1958*T1^4*T2^8 - 
     7028*T1^5*T2^8 + 6560*T1^6*T2^8 + 502*T1^7*T2^8 - 6936*T1^8*T2^8 + 
     6972*T1^9*T2^8 - 1850*T1^10*T2^8 - 504*T1^11*T2^8 + 215*T1^12*T2^8 + 
     149*T1^3*T2^9 - 840*T1^4*T2^9 + 1206*T1^5*T2^9 + 1410*T1^6*T2^9 - 
     5796*T1^7*T2^9 + 6972*T1^8*T2^9 - 4260*T1^9*T2^9 + 30*T1^10*T2^9 + 
     1008*T1^11*T2^9 - 271*T1^12*T2^9 - 9*T1^4*T2^10 + 308*T1^5*T2^10 - 
     1476*T1^6*T2^10 + 2606*T1^7*T2^10 - 1850*T1^8*T2^10 + 30*T1^9*T2^10 + 
     1436*T1^10*T2^10 - 1036*T1^11*T2^10 + 215*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 76*T1^7*T2^11 - 504*T1^8*T2^11 + 1008*T1^9*T2^11 - 
     1036*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 215*T1^8*T2^12 - 271*T1^9*T2^12 + 215*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 90] -> 
  {(2 - 10*T + 20*T^2 - 23*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-17 + 85*T1 - 171*T1^2 + 197*T1^3 - 171*T1^4 + 85*T1^5 - 17*T1^6 + 
     85*T2 - 380*T1*T2 + 630*T1^2*T2 - 530*T1^3*T2 + 330*T1^4*T2 + 
     30*T1^5*T2 - 140*T1^6*T2 + 45*T1^7*T2 - 171*T2^2 + 630*T1*T2^2 - 
     621*T1^2*T2^2 - 181*T1^3*T2^2 + 699*T1^4*T2^2 - 1221*T1^5*T2^2 + 
     819*T1^6*T2^2 - 170*T1^7*T2^2 - 11*T1^8*T2^2 + 197*T2^3 - 530*T1*T2^3 - 
     181*T1^2*T2^3 + 1782*T1^3*T2^3 - 2192*T1^4*T2^3 + 2268*T1^5*T2^3 - 
     768*T1^6*T2^3 - 541*T1^7*T2^3 + 450*T1^8*T2^3 - 79*T1^9*T2^3 - 
     171*T2^4 + 330*T1*T2^4 + 699*T1^2*T2^4 - 2192*T1^3*T2^4 + 
     1642*T1^4*T2^4 - 766*T1^5*T2^4 - 1458*T1^6*T2^4 + 2408*T1^7*T2^4 - 
     701*T1^8*T2^4 - 350*T1^9*T2^4 + 149*T1^10*T2^4 + 85*T2^5 + 30*T1*T2^5 - 
     1221*T1^2*T2^5 + 2268*T1^3*T2^5 - 766*T1^4*T2^5 - 708*T1^5*T2^5 + 
     2272*T1^6*T2^5 - 1566*T1^7*T2^5 - 1912*T1^8*T2^5 + 1859*T1^9*T2^5 - 
     170*T1^10*T2^5 - 115*T1^11*T2^5 - 17*T2^6 - 140*T1*T2^6 + 
     819*T1^2*T2^6 - 768*T1^3*T2^6 - 1458*T1^4*T2^6 + 2272*T1^5*T2^6 - 
     1152*T1^6*T2^6 - 1168*T1^7*T2^6 + 4222*T1^8*T2^6 - 1320*T1^9*T2^6 - 
     1101*T1^10*T2^6 + 420*T1^11*T2^6 + 31*T1^12*T2^6 + 45*T1*T2^7 - 
     170*T1^2*T2^7 - 541*T1^3*T2^7 + 2408*T1^4*T2^7 - 1566*T1^5*T2^7 - 
     1168*T1^6*T2^7 + 1812*T1^7*T2^7 - 2366*T1^8*T2^7 - 1772*T1^9*T2^7 + 
     2539*T1^10*T2^7 - 370*T1^11*T2^7 - 155*T1^12*T2^7 - 11*T1^2*T2^8 + 
     450*T1^3*T2^8 - 701*T1^4*T2^8 - 1912*T1^5*T2^8 + 4222*T1^6*T2^8 - 
     2366*T1^7*T2^8 + 1122*T1^8*T2^8 + 2688*T1^9*T2^8 - 2101*T1^10*T2^8 - 
     230*T1^11*T2^8 + 309*T1^12*T2^8 - 79*T1^3*T2^9 - 350*T1^4*T2^9 + 
     1859*T1^5*T2^9 - 1320*T1^6*T2^9 - 1772*T1^7*T2^9 + 2688*T1^8*T2^9 - 
     3870*T1^9*T2^9 + 1499*T1^10*T2^9 + 630*T1^11*T2^9 - 355*T1^12*T2^9 + 
     149*T1^4*T2^10 - 170*T1^5*T2^10 - 1101*T1^6*T2^10 + 2539*T1^7*T2^10 - 
     2101*T1^8*T2^10 + 1499*T1^9*T2^10 + 339*T1^10*T2^10 - 970*T1^11*T2^10 + 
     309*T1^12*T2^10 - 115*T1^5*T2^11 + 420*T1^6*T2^11 - 370*T1^7*T2^11 - 
     230*T1^8*T2^11 + 630*T1^9*T2^11 - 970*T1^10*T2^11 + 660*T1^11*T2^11 - 
     155*T1^12*T2^11 + 31*T1^6*T2^12 - 155*T1^7*T2^12 + 309*T1^8*T2^12 - 
     355*T1^9*T2^12 + 309*T1^10*T2^12 - 155*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 91] -> 
  {-((2 - 12*T + 30*T^2 - 41*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-25 + 149*T1 - 371*T1^2 + 507*T1^3 - 371*T1^4 + 149*T1^5 - 25*T1^6 + 
      149*T2 - 788*T1*T2 + 1614*T1^2*T2 - 1532*T1^3*T2 + 172*T1^4*T2 + 
      606*T1^5*T2 - 452*T1^6*T2 + 101*T1^7*T2 - 371*T2^2 + 1614*T1*T2^2 - 
      2084*T1^2*T2^2 - 548*T1^3*T2^2 + 4674*T1^4*T2^2 - 4028*T1^5*T2^2 + 
      1276*T1^6*T2^2 + 174*T1^7*T2^2 - 131*T1^8*T2^2 + 507*T2^3 - 
      1532*T1*T2^3 - 548*T1^2*T2^3 + 7194*T1^3*T2^3 - 11402*T1^4*T2^3 + 
      3826*T1^5*T2^3 + 2652*T1^6*T2^3 - 2888*T1^7*T2^3 + 700*T1^8*T2^3 + 
      15*T1^9*T2^3 - 371*T2^4 + 172*T1*T2^4 + 4674*T1^2*T2^4 - 
      11402*T1^3*T2^4 + 8291*T1^4*T2^4 + 8751*T1^5*T2^4 - 13525*T1^6*T2^4 + 
      6310*T1^7*T2^4 + 66*T1^8*T2^4 - 740*T1^9*T2^4 + 109*T1^10*T2^4 + 
      149*T2^5 + 606*T1*T2^5 - 4028*T1^2*T2^5 + 3826*T1^3*T2^5 + 
      8751*T1^4*T2^5 - 25630*T1^5*T2^5 + 18020*T1^6*T2^5 - 69*T1^7*T2^5 - 
      6434*T1^8*T2^5 + 2872*T1^9*T2^5 - 114*T1^10*T2^5 - 91*T1^11*T2^5 - 
      25*T2^6 - 452*T1*T2^6 + 1276*T1^2*T2^6 + 2652*T1^3*T2^6 - 
      13525*T1^4*T2^6 + 18020*T1^5*T2^6 + 564*T1^6*T2^6 - 18340*T1^7*T2^6 + 
      13979*T1^8*T2^6 - 2652*T1^9*T2^6 - 1316*T1^10*T2^6 + 412*T1^11*T2^6 + 
      23*T1^12*T2^6 + 101*T1*T2^7 + 174*T1^2*T2^7 - 2888*T1^3*T2^7 + 
      6310*T1^4*T2^7 - 69*T1^5*T2^7 - 18340*T1^6*T2^7 + 25310*T1^7*T2^7 - 
      8889*T1^8*T2^7 - 3950*T1^9*T2^7 + 4012*T1^10*T2^7 - 546*T1^11*T2^7 - 
      139*T1^12*T2^7 - 131*T1^2*T2^8 + 700*T1^3*T2^8 + 66*T1^4*T2^8 - 
      6434*T1^5*T2^8 + 13979*T1^6*T2^8 - 8889*T1^7*T2^8 - 7837*T1^8*T2^8 + 
      11278*T1^9*T2^8 - 4542*T1^10*T2^8 - 212*T1^11*T2^8 + 349*T1^12*T2^8 + 
      15*T1^3*T2^9 - 740*T1^4*T2^9 + 2872*T1^5*T2^9 - 2652*T1^6*T2^9 - 
      3950*T1^7*T2^9 + 11278*T1^8*T2^9 - 7194*T1^9*T2^9 + 532*T1^10*T2^9 + 
      1492*T1^11*T2^9 - 477*T1^12*T2^9 + 109*T1^4*T2^10 - 114*T1^5*T2^10 - 
      1316*T1^6*T2^10 + 4012*T1^7*T2^10 - 4542*T1^8*T2^10 + 532*T1^9*T2^10 + 
      2044*T1^10*T2^10 - 1554*T1^11*T2^10 + 349*T1^12*T2^10 - 91*T1^5*T2^11 + 
      412*T1^6*T2^11 - 546*T1^7*T2^11 - 212*T1^8*T2^11 + 1492*T1^9*T2^11 - 
      1554*T1^10*T2^11 + 748*T1^11*T2^11 - 139*T1^12*T2^11 + 23*T1^6*T2^12 - 
      139*T1^7*T2^12 + 349*T1^8*T2^12 - 477*T1^9*T2^12 + 349*T1^10*T2^12 - 
      139*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 92] -> 
  {-((1 - 5*T + 12*T^2 - 21*T^3 + 25*T^4 - 21*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 36*T1^2 + 63*T1^3 - 75*T1^4 + 63*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 195*T1^3*T2 + 
      165*T1^4*T2 - 65*T1^5*T2 - 30*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 196*T1^2*T2^2 + 223*T1^3*T2^2 - 
      10*T1^4*T2^2 - 220*T1^5*T2^2 + 302*T1^6*T2^2 - 161*T1^7*T2^2 + 
      68*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 63*T2^3 - 195*T1*T2^3 + 
      223*T1^2*T2^3 - 201*T1^3*T2^3 - 189*T1^4*T2^3 + 391*T1^5*T2^3 - 
      290*T1^6*T2^3 - 99*T1^7*T2^3 + 165*T1^8*T2^3 - 173*T1^9*T2^3 + 
      60*T1^10*T2^3 - 75*T2^4 + 165*T1*T2^4 - 10*T1^2*T2^4 - 189*T1^3*T2^4 + 
      772*T1^4*T2^4 - 773*T1^5*T2^4 + 302*T1^6*T2^4 + 357*T1^7*T2^4 - 
      188*T1^8*T2^4 + 21*T1^9*T2^4 + 140*T1^10*T2^4 - 125*T1^11*T2^4 + 
      25*T1^12*T2^4 + 63*T2^5 - 65*T1*T2^5 - 220*T1^2*T2^5 + 391*T1^3*T2^5 - 
      773*T1^4*T2^5 + 328*T1^5*T2^5 + 369*T1^6*T2^5 - 633*T1^7*T2^5 - 
      296*T1^8*T2^5 + 568*T1^9*T2^5 - 392*T1^10*T2^5 + 143*T1^11*T2^5 + 
      85*T1^12*T2^5 - 42*T1^13*T2^5 - 36*T2^6 - 30*T1*T2^6 + 302*T1^2*T2^6 - 
      290*T1^3*T2^6 + 302*T1^4*T2^6 + 369*T1^5*T2^6 - 893*T1^6*T2^6 + 
      295*T1^7*T2^6 + 979*T1^8*T2^6 - 663*T1^9*T2^6 - 118*T1^10*T2^6 + 
      238*T1^11*T2^6 - 334*T1^12*T2^6 + 30*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 161*T1^2*T2^7 - 99*T1^3*T2^7 + 357*T1^4*T2^7 - 
      633*T1^5*T2^7 + 295*T1^6*T2^7 + 1582*T1^7*T2^7 - 2510*T1^8*T2^7 + 
      1120*T1^9*T2^7 + 309*T1^10*T2^7 - 140*T1^11*T2^7 + 291*T1^12*T2^7 + 
      163*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      68*T1^2*T2^8 + 165*T1^3*T2^8 - 188*T1^4*T2^8 - 296*T1^5*T2^8 + 
      979*T1^6*T2^8 - 2510*T1^7*T2^8 + 1224*T1^8*T2^8 + 1350*T1^9*T2^8 - 
      2363*T1^10*T2^8 + 892*T1^11*T2^8 - 636*T1^12*T2^8 - 201*T1^13*T2^8 - 
      10*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      10*T1^2*T2^9 - 173*T1^3*T2^9 + 21*T1^4*T2^9 + 568*T1^5*T2^9 - 
      663*T1^6*T2^9 + 1120*T1^7*T2^9 + 1350*T1^8*T2^9 - 2742*T1^9*T2^9 + 
      1945*T1^10*T2^9 + 279*T1^11*T2^9 + 71*T1^12*T2^9 + 411*T1^13*T2^9 + 
      151*T1^14*T2^9 - 115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 
      60*T1^3*T2^10 + 140*T1^4*T2^10 - 392*T1^5*T2^10 - 118*T1^6*T2^10 + 
      309*T1^7*T2^10 - 2363*T1^8*T2^10 + 1945*T1^9*T2^10 - 491*T1^10*T2^10 - 
      723*T1^11*T2^10 - 538*T1^12*T2^10 + 136*T1^13*T2^10 - 496*T1^14*T2^10 + 
      120*T1^15*T2^10 + 60*T1^16*T2^10 - 125*T1^4*T2^11 + 143*T1^5*T2^11 + 
      238*T1^6*T2^11 - 140*T1^7*T2^11 + 892*T1^8*T2^11 + 279*T1^9*T2^11 - 
      723*T1^10*T2^11 + 268*T1^11*T2^11 + 1201*T1^12*T2^11 - 
      545*T1^13*T2^11 + 506*T1^14*T2^11 + 25*T1^15*T2^11 - 105*T1^16*T2^11 + 
      25*T1^4*T2^12 + 85*T1^5*T2^12 - 334*T1^6*T2^12 + 291*T1^7*T2^12 - 
      636*T1^8*T2^12 + 71*T1^9*T2^12 - 538*T1^10*T2^12 + 1201*T1^11*T2^12 - 
      1596*T1^12*T2^12 + 501*T1^13*T2^12 - 184*T1^14*T2^12 - 
      205*T1^15*T2^12 + 125*T1^16*T2^12 - 42*T1^5*T2^13 + 30*T1^6*T2^13 + 
      163*T1^7*T2^13 - 201*T1^8*T2^13 + 411*T1^9*T2^13 + 136*T1^10*T2^13 - 
      545*T1^11*T2^13 + 501*T1^12*T2^13 + 165*T1^13*T2^13 - 233*T1^14*T2^13 + 
      285*T1^15*T2^13 - 105*T1^16*T2^13 + 36*T1^6*T2^14 - 80*T1^7*T2^14 - 
      10*T1^8*T2^14 + 151*T1^9*T2^14 - 496*T1^10*T2^14 + 506*T1^11*T2^14 - 
      184*T1^12*T2^14 - 233*T1^13*T2^14 + 254*T1^14*T2^14 - 200*T1^15*T2^14 + 
      60*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 115*T1^9*T2^15 + 
      120*T1^10*T2^15 + 25*T1^11*T2^15 - 205*T1^12*T2^15 + 285*T1^13*T2^15 - 
      200*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 
      25*T1^9*T2^16 + 60*T1^10*T2^16 - 105*T1^11*T2^16 + 125*T1^12*T2^16 - 
      105*T1^13*T2^16 + 60*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 93] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-23 + 115*T1 - 241*T1^2 + 309*T1^3 - 241*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 830*T1^2*T2 - 760*T1^3*T2 + 200*T1^4*T2 + 
      210*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 241*T2^2 + 830*T1*T2^2 - 
      725*T1^2*T2^2 - 333*T1^3*T2^2 + 1757*T1^4*T2^2 - 1761*T1^5*T2^2 + 
      871*T1^6*T2^2 - 10*T1^7*T2^2 - 73*T1^8*T2^2 + 309*T2^3 - 760*T1*T2^3 - 
      333*T1^2*T2^3 + 2326*T1^3*T2^3 - 3462*T1^4*T2^3 + 1596*T1^5*T2^3 + 
      514*T1^6*T2^3 - 1215*T1^7*T2^3 + 440*T1^8*T2^3 - 15*T1^9*T2^3 - 
      241*T2^4 + 200*T1*T2^4 + 1757*T1^2*T2^4 - 3462*T1^3*T2^4 + 
      2305*T1^4*T2^4 + 1859*T1^5*T2^4 - 3683*T1^6*T2^4 + 2262*T1^7*T2^4 - 
      115*T1^8*T2^4 - 400*T1^9*T2^4 + 95*T1^10*T2^4 + 115*T2^5 + 
      210*T1*T2^5 - 1761*T1^2*T2^5 + 1596*T1^3*T2^5 + 1859*T1^4*T2^5 - 
      5171*T1^5*T2^5 + 3715*T1^6*T2^5 + 452*T1^7*T2^5 - 2130*T1^8*T2^5 + 
      1305*T1^9*T2^5 - 50*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 871*T1^2*T2^6 + 514*T1^3*T2^6 - 3683*T1^4*T2^6 + 
      3715*T1^5*T2^6 + 72*T1^6*T2^6 - 3919*T1^7*T2^6 + 2779*T1^8*T2^6 - 
      554*T1^9*T2^6 - 861*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 - 10*T1^2*T2^7 - 1215*T1^3*T2^7 + 2262*T1^4*T2^7 + 
      452*T1^5*T2^7 - 3919*T1^6*T2^7 + 4967*T1^7*T2^7 - 955*T1^8*T2^7 - 
      1464*T1^9*T2^7 + 1851*T1^10*T2^7 - 270*T1^11*T2^7 - 125*T1^12*T2^7 - 
      73*T1^2*T2^8 + 440*T1^3*T2^8 - 115*T1^4*T2^8 - 2130*T1^5*T2^8 + 
      2779*T1^6*T2^8 - 955*T1^7*T2^8 - 3209*T1^8*T2^8 + 3594*T1^9*T2^8 - 
      1987*T1^10*T2^8 - 160*T1^11*T2^8 + 263*T1^12*T2^8 - 15*T1^3*T2^9 - 
      400*T1^4*T2^9 + 1305*T1^5*T2^9 - 554*T1^6*T2^9 - 1464*T1^7*T2^9 + 
      3594*T1^8*T2^9 - 2366*T1^9*T2^9 + 423*T1^10*T2^9 + 800*T1^11*T2^9 - 
      339*T1^12*T2^9 + 95*T1^4*T2^10 - 50*T1^5*T2^10 - 861*T1^6*T2^10 + 
      1851*T1^7*T2^10 - 1987*T1^8*T2^10 + 423*T1^9*T2^10 + 735*T1^10*T2^10 - 
      890*T1^11*T2^10 + 263*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      270*T1^7*T2^11 - 160*T1^8*T2^11 + 800*T1^9*T2^11 - 890*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      263*T1^8*T2^12 - 339*T1^9*T2^12 + 263*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 94] -> 
  {(4 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 4*T^6)/T^3, 
   -((400 - 1284*T1 + 2256*T1^2 - 2640*T1^3 + 2256*T1^4 - 1284*T1^5 + 
      400*T1^6 - 1284*T2 + 3062*T1*T2 - 3826*T1^2*T2 + 2446*T1^3*T2 - 
      154*T1^4*T2 - 1954*T1^5*T2 + 2178*T1^6*T2 - 1076*T1^7*T2 + 2256*T2^2 - 
      3826*T1*T2^2 + 3119*T1^2*T2^2 - 49*T1^3*T2^2 - 1907*T1^4*T2^2 + 
      2527*T1^5*T2^2 - 377*T1^6*T2^2 - 1434*T1^7*T2^2 + 1520*T1^8*T2^2 - 
      2640*T2^3 + 2446*T1*T2^3 - 49*T1^2*T2^3 - 2991*T1^3*T2^3 + 
      2346*T1^4*T2^3 - 940*T1^5*T2^3 - 2271*T1^6*T2^3 + 2320*T1^7*T2^3 - 
      570*T1^8*T2^3 - 1344*T1^9*T2^3 + 2256*T2^4 - 154*T1*T2^4 - 
      1907*T1^2*T2^4 + 2346*T1^3*T2^4 + 1258*T1^4*T2^4 - 2652*T1^5*T2^4 + 
      4094*T1^6*T2^4 - 1056*T1^7*T2^4 - 1245*T1^8*T2^4 + 1822*T1^9*T2^4 + 
      784*T1^10*T2^4 - 1284*T2^5 - 1954*T1*T2^5 + 2527*T1^2*T2^5 - 
      940*T1^3*T2^5 - 2652*T1^4*T2^5 + 1826*T1^5*T2^5 - 1352*T1^6*T2^5 - 
      2123*T1^7*T2^5 + 2114*T1^8*T2^5 - 670*T1^9*T2^5 - 1746*T1^10*T2^5 - 
      244*T1^11*T2^5 + 400*T2^6 + 2178*T1*T2^6 - 377*T1^2*T2^6 - 
      2271*T1^3*T2^6 + 4094*T1^4*T2^6 - 1352*T1^5*T2^6 + 264*T1^6*T2^6 + 
      1864*T1^7*T2^6 + 36*T1^8*T2^6 - 1473*T1^9*T2^6 + 1971*T1^10*T2^6 + 
      722*T1^11*T2^6 + 16*T1^12*T2^6 - 1076*T1*T2^7 - 1434*T1^2*T2^7 + 
      2320*T1^3*T2^7 - 1056*T1^4*T2^7 - 2123*T1^5*T2^7 + 1864*T1^6*T2^7 - 
      1314*T1^7*T2^7 - 1594*T1^8*T2^7 + 1998*T1^9*T2^7 - 877*T1^10*T2^7 - 
      1226*T1^11*T2^7 - 36*T1^12*T2^7 + 1520*T1^2*T2^8 - 570*T1^3*T2^8 - 
      1245*T1^4*T2^8 + 2114*T1^5*T2^8 + 36*T1^6*T2^8 - 1594*T1^7*T2^8 + 
      2872*T1^8*T2^8 - 1288*T1^9*T2^8 - 583*T1^10*T2^8 + 1406*T1^11*T2^8 + 
      48*T1^12*T2^8 - 1344*T1^3*T2^9 + 1822*T1^4*T2^9 - 670*T1^5*T2^9 - 
      1473*T1^6*T2^9 + 1998*T1^7*T2^9 - 1288*T1^8*T2^9 - 753*T1^9*T2^9 + 
      1699*T1^10*T2^9 - 1194*T1^11*T2^9 - 48*T1^12*T2^9 + 784*T1^4*T2^10 - 
      1746*T1^5*T2^10 + 1971*T1^6*T2^10 - 877*T1^7*T2^10 - 583*T1^8*T2^10 + 
      1699*T1^9*T2^10 - 1525*T1^10*T2^10 + 646*T1^11*T2^10 + 48*T1^12*T2^10 - 
      244*T1^5*T2^11 + 722*T1^6*T2^11 - 1226*T1^7*T2^11 + 1406*T1^8*T2^11 - 
      1194*T1^9*T2^11 + 646*T1^10*T2^11 - 162*T1^11*T2^11 - 36*T1^12*T2^11 + 
      16*T1^6*T2^12 - 36*T1^7*T2^12 + 48*T1^8*T2^12 - 48*T1^9*T2^12 + 
      48*T1^10*T2^12 - 36*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 95] -> 
  {(6 - 18*T + 25*T^2 - 18*T^3 + 6*T^4)/T^2, 
   -((963 - 2847*T1 + 3941*T1^2 - 2847*T1^3 + 963*T1^4 - 2847*T2 + 
      6240*T1*T2 - 5194*T1^2*T2 - 550*T1^3*T2 + 3648*T1^4*T2 - 2199*T1^5*T2 + 
      3941*T2^2 - 5194*T1*T2^2 - 977*T1^2*T2^2 + 8783*T1^3*T2^2 - 
      6677*T1^4*T2^2 + 206*T1^5*T2^2 + 2141*T1^6*T2^2 - 2847*T2^3 - 
      550*T1*T2^3 + 8783*T1^2*T2^3 - 10898*T1^3*T2^3 + 676*T1^4*T2^3 + 
      6083*T1^5*T2^3 - 3682*T1^6*T2^3 - 903*T1^7*T2^3 + 963*T2^4 + 
      3648*T1*T2^4 - 6677*T1^2*T2^4 + 676*T1^3*T2^4 + 9912*T1^4*T2^4 - 
      9044*T1^5*T2^4 + 1387*T1^6*T2^4 + 2352*T1^7*T2^4 + 99*T1^8*T2^4 - 
      2199*T1*T2^5 + 206*T1^2*T2^5 + 6083*T1^3*T2^5 - 9044*T1^4*T2^5 + 
      2530*T1^5*T2^5 + 3383*T1^6*T2^5 - 2926*T1^7*T2^5 - 255*T1^8*T2^5 + 
      2141*T1^2*T2^6 - 3682*T1^3*T2^6 + 1387*T1^4*T2^6 + 3383*T1^5*T2^6 - 
      4313*T1^6*T2^6 + 1718*T1^7*T2^6 + 341*T1^8*T2^6 - 903*T1^3*T2^7 + 
      2352*T1^4*T2^7 - 2926*T1^5*T2^7 + 1718*T1^6*T2^7 - 240*T1^7*T2^7 - 
      255*T1^8*T2^7 + 99*T1^4*T2^8 - 255*T1^5*T2^8 + 341*T1^6*T2^8 - 
      255*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 96] -> 
  {-(((-1 + 4*T - 5*T^2 + T^3)*(-1 + 5*T - 4*T^2 + T^3))/T^3), 
   -((-3 + 27*T1 - 87*T1^2 + 129*T1^3 - 87*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      225*T1*T2 + 621*T1^2*T2 - 639*T1^3*T2 + 9*T1^4*T2 + 279*T1^5*T2 - 
      135*T1^6*T2 + 18*T1^7*T2 - 87*T2^2 + 621*T1*T2^2 - 1095*T1^2*T2^2 - 
      685*T1^3*T2^2 + 3579*T1^4*T2^2 - 2657*T1^5*T2^2 + 529*T1^6*T2^2 + 
      99*T1^7*T2^2 - 29*T1^8*T2^2 + 129*T2^3 - 639*T1*T2^3 - 685*T1^2*T2^3 + 
      7166*T1^3*T2^3 - 11052*T1^4*T2^3 + 2838*T1^5*T2^3 + 2924*T1^6*T2^3 - 
      1816*T1^7*T2^3 + 261*T1^8*T2^3 - 87*T2^4 + 9*T1*T2^4 + 3579*T1^2*T2^4 - 
      11052*T1^3*T2^4 + 6659*T1^4*T2^4 + 13413*T1^5*T2^4 - 16409*T1^6*T2^4 + 
      5632*T1^7*T2^4 - 23*T1^8*T2^4 - 261*T1^9*T2^4 + 29*T1^10*T2^4 + 
      27*T2^5 + 279*T1*T2^5 - 2657*T1^2*T2^5 + 2838*T1^3*T2^5 + 
      13413*T1^4*T2^5 - 35441*T1^5*T2^5 + 25039*T1^6*T2^5 - 826*T1^7*T2^5 - 
      5464*T1^8*T2^5 + 1838*T1^9*T2^5 - 99*T1^10*T2^5 - 18*T1^11*T2^5 - 
      3*T2^6 - 135*T1*T2^6 + 529*T1^2*T2^6 + 2924*T1^3*T2^6 - 
      16409*T1^4*T2^6 + 25039*T1^5*T2^6 - 2868*T1^6*T2^6 - 23131*T1^7*T2^6 + 
      16929*T1^8*T2^6 - 3076*T1^9*T2^6 - 531*T1^10*T2^6 + 135*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 99*T1^2*T2^7 - 1816*T1^3*T2^7 + 
      5632*T1^4*T2^7 - 826*T1^5*T2^7 - 23131*T1^6*T2^7 + 37349*T1^7*T2^7 - 
      15065*T1^8*T2^7 - 2670*T1^9*T2^7 + 2679*T1^10*T2^7 - 279*T1^11*T2^7 - 
      27*T1^12*T2^7 - 29*T1^2*T2^8 + 261*T1^3*T2^8 - 23*T1^4*T2^8 - 
      5464*T1^5*T2^8 + 16929*T1^6*T2^8 - 15065*T1^7*T2^8 - 6139*T1^8*T2^8 + 
      11220*T1^9*T2^8 - 3625*T1^10*T2^8 - 9*T1^11*T2^8 + 87*T1^12*T2^8 - 
      261*T1^4*T2^9 + 1838*T1^5*T2^9 - 3076*T1^6*T2^9 - 2670*T1^7*T2^9 + 
      11220*T1^8*T2^9 - 7318*T1^9*T2^9 + 707*T1^10*T2^9 + 639*T1^11*T2^9 - 
      129*T1^12*T2^9 + 29*T1^4*T2^10 - 99*T1^5*T2^10 - 531*T1^6*T2^10 + 
      2679*T1^7*T2^10 - 3625*T1^8*T2^10 + 707*T1^9*T2^10 + 1093*T1^10*T2^10 - 
      621*T1^11*T2^10 + 87*T1^12*T2^10 - 18*T1^5*T2^11 + 135*T1^6*T2^11 - 
      279*T1^7*T2^11 - 9*T1^8*T2^11 + 639*T1^9*T2^11 - 621*T1^10*T2^11 + 
      225*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      87*T1^8*T2^12 - 129*T1^9*T2^12 + 87*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 97] -> 
  {(2 - 9*T + 16*T^2 - 17*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 246*T1^2 + 261*T1^3 - 246*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 641*T1^2*T2 - 355*T1^3*T2 + 239*T1^4*T2 + 
     191*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 246*T2^2 + 641*T1*T2^2 - 
     T1^2*T2^2 - 1070*T1^3*T2^2 + 1037*T1^4*T2^2 - 1582*T1^5*T2^2 + 
     895*T1^6*T2^2 + 65*T1^7*T2^2 - 118*T1^8*T2^2 + 261*T2^3 - 355*T1*T2^3 - 
     1070*T1^2*T2^3 + 2044*T1^3*T2^3 - 991*T1^4*T2^3 + 1211*T1^5*T2^3 + 
     382*T1^6*T2^3 - 1118*T1^7*T2^3 + 275*T1^8*T2^3 + 57*T1^9*T2^3 - 
     246*T2^4 + 239*T1*T2^4 + 1037*T1^2*T2^4 - 991*T1^3*T2^4 - 
     981*T1^4*T2^4 + 627*T1^5*T2^4 - 1637*T1^6*T2^4 + 1117*T1^7*T2^4 + 
     331*T1^8*T2^4 - 301*T1^9*T2^4 + 10*T1^10*T2^4 + 139*T2^5 + 191*T1*T2^5 - 
     1582*T1^2*T2^5 + 1211*T1^3*T2^5 + 627*T1^4*T2^5 + 472*T1^5*T2^5 - 
     362*T1^6*T2^5 + 595*T1^7*T2^5 - 1179*T1^8*T2^5 + 322*T1^9*T2^5 + 
     137*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 895*T1^2*T2^6 + 
     382*T1^3*T2^6 - 1637*T1^4*T2^6 - 362*T1^5*T2^6 + 696*T1^6*T2^6 - 
     138*T1^7*T2^6 + 407*T1^8*T2^6 + 550*T1^9*T2^6 - 613*T1^10*T2^6 + 
     110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 65*T1^2*T2^7 - 
     1118*T1^3*T2^7 + 1117*T1^4*T2^7 + 595*T1^5*T2^7 - 138*T1^6*T2^7 - 
     972*T1^7*T2^7 + 563*T1^8*T2^7 - 1273*T1^9*T2^7 + 786*T1^10*T2^7 + 
     11*T1^11*T2^7 - 77*T1^12*T2^7 - 118*T1^2*T2^8 + 275*T1^3*T2^8 + 
     331*T1^4*T2^8 - 1179*T1^5*T2^8 + 407*T1^6*T2^8 + 563*T1^7*T2^8 - 
     249*T1^8*T2^8 + 929*T1^9*T2^8 - 375*T1^10*T2^8 - 265*T1^11*T2^8 + 
     138*T1^12*T2^8 + 57*T1^3*T2^9 - 301*T1^4*T2^9 + 322*T1^5*T2^9 + 
     550*T1^6*T2^9 - 1273*T1^7*T2^9 + 929*T1^8*T2^9 - 1112*T1^9*T2^9 + 
     274*T1^10*T2^9 + 329*T1^11*T2^9 - 147*T1^12*T2^9 + 10*T1^4*T2^10 + 
     137*T1^5*T2^10 - 613*T1^6*T2^10 + 786*T1^7*T2^10 - 375*T1^8*T2^10 + 
     274*T1^9*T2^10 + 283*T1^10*T2^10 - 439*T1^11*T2^10 + 138*T1^12*T2^10 - 
     41*T1^5*T2^11 + 110*T1^6*T2^11 + 11*T1^7*T2^11 - 265*T1^8*T2^11 + 
     329*T1^9*T2^11 - 439*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 
     17*T1^6*T2^12 - 77*T1^7*T2^12 + 138*T1^8*T2^12 - 147*T1^9*T2^12 + 
     138*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 98] -> 
  {(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4)/T^2, 
   (-128 + 604*T1 - 984*T1^2 + 604*T1^3 - 128*T1^4 + 604*T2 - 2550*T1*T2 + 
     3236*T1^2*T2 - 564*T1^3*T2 - 802*T1^4*T2 + 300*T1^5*T2 - 984*T2^2 + 
     3236*T1*T2^2 - 1014*T1^2*T2^2 - 6016*T1^3*T2^2 + 5682*T1^4*T2^2 - 
     1476*T1^5*T2^2 + 8*T1^6*T2^2 + 604*T2^3 - 564*T1*T2^3 - 6016*T1^2*T2^3 + 
     14565*T1^3*T2^3 - 9641*T1^4*T2^3 + 463*T1^5*T2^3 + 1412*T1^6*T2^3 - 
     308*T1^7*T2^3 - 128*T2^4 - 802*T1*T2^4 + 5682*T1^2*T2^4 - 
     9641*T1^3*T2^4 + 1524*T1^4*T2^4 + 8637*T1^5*T2^4 - 6052*T1^6*T2^4 + 
     870*T1^7*T2^4 + 128*T1^8*T2^4 + 300*T1*T2^5 - 1476*T1^2*T2^5 + 
     463*T1^3*T2^5 + 8637*T1^4*T2^5 - 15569*T1^5*T2^5 + 6942*T1^6*T2^5 + 
     500*T1^7*T2^5 - 612*T1^8*T2^5 + 8*T1^2*T2^6 + 1412*T1^3*T2^6 - 
     6052*T1^4*T2^6 + 6942*T1^5*T2^6 + 644*T1^6*T2^6 - 3300*T1^7*T2^6 + 
     1000*T1^8*T2^6 - 308*T1^3*T2^7 + 870*T1^4*T2^7 + 500*T1^5*T2^7 - 
     3300*T1^6*T2^7 + 2618*T1^7*T2^7 - 612*T1^8*T2^7 + 128*T1^4*T2^8 - 
     612*T1^5*T2^8 + 1000*T1^6*T2^8 - 612*T1^7*T2^8 + 128*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 99] -> 
  {-((1 - 6*T + 17*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 85*T1^2 + 140*T1^3 - 155*T1^4 + 140*T1^5 - 
      85*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 
      432*T1^3*T2 + 258*T1^4*T2 - 96*T1^5*T2 - 162*T1^6*T2 + 228*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 630*T1^2*T2^2 + 
      228*T1^3*T2^2 + 556*T1^4*T2^2 - 696*T1^5*T2^2 + 1032*T1^6*T2^2 - 
      520*T1^7*T2^2 - 86*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 
      140*T2^3 - 432*T1*T2^3 + 228*T1^2*T2^3 + 1272*T1^3*T2^3 - 
      2285*T1^4*T2^3 + 1172*T1^5*T2^3 - 1066*T1^6*T2^3 - 803*T1^7*T2^3 + 
      1362*T1^8*T2^3 - 486*T1^9*T2^3 - 30*T1^10*T2^3 + 56*T1^11*T2^3 - 
      155*T2^4 + 258*T1*T2^4 + 556*T1^2*T2^4 - 2285*T1^3*T2^4 + 
      1342*T1^4*T2^4 + 2247*T1^5*T2^4 - 2058*T1^6*T2^4 + 4223*T1^7*T2^4 - 
      2330*T1^8*T2^4 - 381*T1^9*T2^4 + 648*T1^10*T2^4 - 150*T1^11*T2^4 - 
      31*T1^12*T2^4 + 140*T2^5 - 96*T1*T2^5 - 696*T1^2*T2^5 + 
      1172*T1^3*T2^5 + 2247*T1^4*T2^5 - 5934*T1^5*T2^5 + 2736*T1^6*T2^5 - 
      3458*T1^7*T2^5 - 1100*T1^8*T2^5 + 3141*T1^9*T2^5 - 1062*T1^10*T2^5 - 
      204*T1^11*T2^5 + 186*T1^12*T2^5 - 85*T2^6 - 162*T1*T2^6 + 
      1032*T1^2*T2^6 - 1066*T1^3*T2^6 - 2058*T1^4*T2^6 + 2736*T1^5*T2^6 + 
      3090*T1^6*T2^6 - 1732*T1^7*T2^6 + 4694*T1^8*T2^6 - 3148*T1^9*T2^6 - 
      848*T1^10*T2^6 + 1178*T1^11*T2^6 - 212*T1^12*T2^6 - 102*T1^13*T2^6 + 
      17*T1^14*T2^6 + 30*T2^7 + 228*T1*T2^7 - 520*T1^2*T2^7 - 803*T1^3*T2^7 + 
      4223*T1^4*T2^7 - 3458*T1^5*T2^7 - 1732*T1^6*T2^7 - 1482*T1^7*T2^7 + 
      130*T1^8*T2^7 - 1432*T1^9*T2^7 + 3356*T1^10*T2^7 - 999*T1^11*T2^7 - 
      597*T1^12*T2^7 + 398*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 86*T1^2*T2^8 + 1362*T1^3*T2^8 - 2330*T1^4*T2^8 - 
      1100*T1^5*T2^8 + 4694*T1^6*T2^8 + 130*T1^7*T2^8 + 84*T1^8*T2^8 + 
      58*T1^9*T2^8 - 1034*T1^10*T2^8 - 1908*T1^11*T2^8 + 2114*T1^12*T2^8 - 
      558*T1^13*T2^8 - 90*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 162*T1^2*T2^9 - 486*T1^3*T2^9 - 381*T1^4*T2^9 + 
      3141*T1^5*T2^9 - 3148*T1^6*T2^9 - 1432*T1^7*T2^9 + 58*T1^8*T2^9 + 
      1670*T1^9*T2^9 - 1132*T1^10*T2^9 + 3666*T1^11*T2^9 - 2081*T1^12*T2^9 - 
      175*T1^13*T2^9 + 432*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 
      51*T1^2*T2^10 - 30*T1^3*T2^10 + 648*T1^4*T2^10 - 1062*T1^5*T2^10 - 
      848*T1^6*T2^10 + 3356*T1^7*T2^10 - 1034*T1^8*T2^10 - 1132*T1^9*T2^10 + 
      570*T1^10*T2^10 - 2528*T1^11*T2^10 + 362*T1^12*T2^10 + 
      1182*T1^13*T2^10 - 596*T1^14*T2^10 + 30*T1^15*T2^10 + 51*T1^16*T2^10 + 
      56*T1^3*T2^11 - 150*T1^4*T2^11 - 204*T1^5*T2^11 + 1178*T1^6*T2^11 - 
      999*T1^7*T2^11 - 1908*T1^8*T2^11 + 3666*T1^9*T2^11 - 2528*T1^10*T2^11 + 
      2926*T1^11*T2^11 - 105*T1^12*T2^11 - 1056*T1^13*T2^11 + 
      288*T1^14*T2^11 + 132*T1^15*T2^11 - 84*T1^16*T2^11 - 31*T1^4*T2^12 + 
      186*T1^5*T2^12 - 212*T1^6*T2^12 - 597*T1^7*T2^12 + 2114*T1^8*T2^12 - 
      2081*T1^9*T2^12 + 362*T1^10*T2^12 - 105*T1^11*T2^12 - 
      1558*T1^12*T2^12 + 1307*T1^13*T2^12 - 120*T1^14*T2^12 - 
      222*T1^15*T2^12 + 93*T1^16*T2^12 - 102*T1^6*T2^13 + 398*T1^7*T2^13 - 
      558*T1^8*T2^13 - 175*T1^9*T2^13 + 1182*T1^10*T2^13 - 1056*T1^11*T2^13 + 
      1307*T1^12*T2^13 - 468*T1^13*T2^13 - 316*T1^14*T2^13 + 
      300*T1^15*T2^13 - 84*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 
      90*T1^8*T2^14 + 432*T1^9*T2^14 - 596*T1^10*T2^14 + 288*T1^11*T2^14 - 
      120*T1^12*T2^14 - 316*T1^13*T2^14 + 454*T1^14*T2^14 - 234*T1^15*T2^14 + 
      51*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 
      30*T1^10*T2^15 + 132*T1^11*T2^15 - 222*T1^12*T2^15 + 300*T1^13*T2^15 - 
      234*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 51*T1^10*T2^16 - 84*T1^11*T2^16 + 93*T1^12*T2^16 - 
      84*T1^13*T2^16 + 51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 100] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((-138 + 684*T1 - 1450*T1^2 + 1856*T1^3 - 1450*T1^4 + 684*T1^5 - 
      138*T1^6 + 684*T2 - 2847*T1*T2 + 4487*T1^2*T2 - 3460*T1^3*T2 - 
      175*T1^4*T2 + 2372*T1^5*T2 - 2037*T1^6*T2 + 549*T1^7*T2 - 1450*T2^2 + 
      4487*T1*T2^2 - 2669*T1^2*T2^2 - 4800*T1^3*T2^2 + 12311*T1^4*T2^2 - 
      9792*T1^5*T2^2 + 2899*T1^6*T2^2 + 1607*T1^7*T2^2 - 874*T1^8*T2^2 + 
      1856*T2^3 - 3460*T1*T2^3 - 4800*T1^2*T2^3 + 15337*T1^3*T2^3 - 
      16642*T1^4*T2^3 + 1055*T1^5*T2^3 + 9013*T1^6*T2^3 - 7968*T1^7*T2^3 + 
      635*T1^8*T2^3 + 749*T1^9*T2^3 - 1450*T2^4 - 175*T1*T2^4 + 
      12311*T1^2*T2^4 - 16642*T1^3*T2^4 + 5033*T1^4*T2^4 + 16955*T1^5*T2^4 - 
      15811*T1^6*T2^4 + 3284*T1^7*T2^4 + 6149*T1^8*T2^4 - 2245*T1^9*T2^4 - 
      298*T1^10*T2^4 + 684*T2^5 + 2372*T1*T2^5 - 9792*T1^2*T2^5 + 
      1055*T1^3*T2^5 + 16955*T1^4*T2^5 - 26707*T1^5*T2^5 + 5439*T1^6*T2^5 + 
      11451*T1^7*T2^5 - 12184*T1^8*T2^5 + 672*T1^9*T2^5 + 1427*T1^10*T2^5 + 
      9*T1^11*T2^5 - 138*T2^6 - 2037*T1*T2^6 + 2899*T1^2*T2^6 + 
      9013*T1^3*T2^6 - 15811*T1^4*T2^6 + 5439*T1^5*T2^6 + 20376*T1^6*T2^6 - 
      22519*T1^7*T2^6 + 8409*T1^8*T2^6 + 4879*T1^9*T2^6 - 2729*T1^10*T2^6 - 
      147*T1^11*T2^6 + 24*T1^12*T2^6 + 549*T1*T2^7 + 1607*T1^2*T2^7 - 
      7968*T1^3*T2^7 + 3284*T1^4*T2^7 + 11451*T1^5*T2^7 - 22519*T1^6*T2^7 + 
      9627*T1^7*T2^7 + 5947*T1^8*T2^7 - 9955*T1^9*T2^7 + 2496*T1^10*T2^7 + 
      662*T1^11*T2^7 - 126*T1^12*T2^7 - 874*T1^2*T2^8 + 635*T1^3*T2^8 + 
      6149*T1^4*T2^8 - 12184*T1^5*T2^8 + 8409*T1^6*T2^8 + 5947*T1^7*T2^8 - 
      12435*T1^8*T2^8 + 7742*T1^9*T2^8 - 13*T1^10*T2^8 - 1435*T1^11*T2^8 + 
      278*T1^12*T2^8 + 749*T1^3*T2^9 - 2245*T1^4*T2^9 + 672*T1^5*T2^9 + 
      4879*T1^6*T2^9 - 9955*T1^7*T2^9 + 7742*T1^8*T2^9 - 1445*T1^9*T2^9 - 
      2496*T1^10*T2^9 + 1850*T1^11*T2^9 - 358*T1^12*T2^9 - 298*T1^4*T2^10 + 
      1427*T1^5*T2^10 - 2729*T1^6*T2^10 + 2496*T1^7*T2^10 - 13*T1^8*T2^10 - 
      2496*T1^9*T2^10 + 2839*T1^10*T2^10 - 1453*T1^11*T2^10 + 
      278*T1^12*T2^10 + 9*T1^5*T2^11 - 147*T1^6*T2^11 + 662*T1^7*T2^11 - 
      1435*T1^8*T2^11 + 1850*T1^9*T2^11 - 1453*T1^10*T2^11 + 
      663*T1^11*T2^11 - 126*T1^12*T2^11 + 24*T1^6*T2^12 - 126*T1^7*T2^12 + 
      278*T1^8*T2^12 - 358*T1^9*T2^12 + 278*T1^10*T2^12 - 126*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 101] -> 
  {(3 - 16*T + 39*T^2 - 51*T^3 + 39*T^4 - 16*T^5 + 3*T^6)/T^3, 
   (-111 + 590*T1 - 1437*T1^2 + 1877*T1^3 - 1437*T1^4 + 590*T1^5 - 111*T1^6 + 
     590*T2 - 2692*T1*T2 + 5275*T1^2*T2 - 4215*T1^3*T2 + 105*T1^4*T2 + 
     2635*T1^5*T2 - 1780*T1^6*T2 + 446*T1^7*T2 - 1437*T2^2 + 5275*T1*T2^2 - 
     6751*T1^2*T2^2 - 2516*T1^3*T2^2 + 12067*T1^4*T2^2 - 10706*T1^5*T2^2 + 
     1673*T1^6*T2^2 + 1531*T1^7*T2^2 - 735*T1^8*T2^2 + 1877*T2^3 - 
     4215*T1*T2^3 - 2516*T1^2*T2^3 + 22963*T1^3*T2^3 - 25700*T1^4*T2^3 + 
     5215*T1^5*T2^3 + 13429*T1^6*T2^3 - 8561*T1^7*T2^3 + 1257*T1^8*T2^3 + 
     500*T1^9*T2^3 - 1437*T2^4 + 105*T1*T2^4 + 12067*T1^2*T2^4 - 
     25700*T1^3*T2^4 - 160*T1^4*T2^4 + 37214*T1^5*T2^4 - 40432*T1^6*T2^4 + 
     9184*T1^7*T2^4 + 4207*T1^8*T2^4 - 2487*T1^9*T2^4 - 33*T1^10*T2^4 + 
     590*T2^5 + 2635*T1*T2^5 - 10706*T1^2*T2^5 + 5215*T1^3*T2^5 + 
     37214*T1^4*T2^5 - 56511*T1^5*T2^5 + 24099*T1^6*T2^5 + 19547*T1^7*T2^5 - 
     17762*T1^8*T2^5 + 3919*T1^9*T2^5 + 859*T1^10*T2^5 - 130*T1^11*T2^5 - 
     111*T2^6 - 1780*T1*T2^6 + 1673*T1^2*T2^6 + 13429*T1^3*T2^6 - 
     40432*T1^4*T2^6 + 24099*T1^5*T2^6 + 24324*T1^6*T2^6 - 46371*T1^7*T2^6 + 
     18962*T1^8*T2^6 + 1939*T1^9*T2^6 - 3479*T1^10*T2^6 + 428*T1^11*T2^6 + 
     51*T1^12*T2^6 + 446*T1*T2^7 + 1531*T1^2*T2^7 - 8561*T1^3*T2^7 + 
     9184*T1^4*T2^7 + 19547*T1^5*T2^7 - 46371*T1^6*T2^7 + 34239*T1^7*T2^7 + 
     1880*T1^8*T2^7 - 13793*T1^9*T2^7 + 6064*T1^10*T2^7 - 245*T1^11*T2^7 - 
     274*T1^12*T2^7 - 735*T1^2*T2^8 + 1257*T1^3*T2^8 + 4207*T1^4*T2^8 - 
     17762*T1^5*T2^8 + 18962*T1^6*T2^8 + 1880*T1^7*T2^8 - 21310*T1^8*T2^8 + 
     17122*T1^9*T2^8 - 3653*T1^10*T2^8 - 1335*T1^11*T2^8 + 669*T1^12*T2^8 + 
     500*T1^3*T2^9 - 2487*T1^4*T2^9 + 3919*T1^5*T2^9 + 1939*T1^6*T2^9 - 
     13793*T1^7*T2^9 + 17122*T1^8*T2^9 - 7595*T1^9*T2^9 - 2126*T1^10*T2^9 + 
     2985*T1^11*T2^9 - 877*T1^12*T2^9 - 33*T1^4*T2^10 + 859*T1^5*T2^10 - 
     3479*T1^6*T2^10 + 6064*T1^7*T2^10 - 3653*T1^8*T2^10 - 2126*T1^9*T2^10 + 
     4945*T1^10*T2^10 - 2885*T1^11*T2^10 + 669*T1^12*T2^10 - 130*T1^5*T2^11 + 
     428*T1^6*T2^11 - 245*T1^7*T2^11 - 1335*T1^8*T2^11 + 2985*T1^9*T2^11 - 
     2885*T1^10*T2^11 + 1340*T1^11*T2^11 - 274*T1^12*T2^11 + 51*T1^6*T2^12 - 
     274*T1^7*T2^12 + 669*T1^8*T2^12 - 877*T1^9*T2^12 + 669*T1^10*T2^12 - 
     274*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 102] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-33 + 181*T1 - 378*T1^2 + 443*T1^3 - 378*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1323*T1^2*T2 - 863*T1^3*T2 + 237*T1^4*T2 + 
     575*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 378*T2^2 + 1323*T1*T2^2 - 
     414*T1^2*T2^2 - 2456*T1^3*T2^2 + 3546*T1^4*T2^2 - 3928*T1^5*T2^2 + 
     1518*T1^6*T2^2 + 311*T1^7*T2^2 - 194*T1^8*T2^2 + 443*T2^3 - 
     863*T1*T2^3 - 2456*T1^2*T2^3 + 6395*T1^3*T2^3 - 4615*T1^4*T2^3 + 
     2527*T1^5*T2^3 + 2491*T1^6*T2^3 - 2893*T1^7*T2^3 + 413*T1^8*T2^3 + 
     119*T1^9*T2^3 - 378*T2^4 + 237*T1*T2^4 + 3546*T1^2*T2^4 - 
     4615*T1^3*T2^4 - 1768*T1^4*T2^4 + 4542*T1^5*T2^4 - 7408*T1^6*T2^4 + 
     2891*T1^7*T2^4 + 1244*T1^8*T2^4 - 599*T1^9*T2^4 - 10*T1^10*T2^4 + 
     181*T2^5 + 575*T1*T2^5 - 3928*T1^2*T2^5 + 2527*T1^3*T2^5 + 
     4542*T1^4*T2^5 - 4078*T1^5*T2^5 + 2596*T1^6*T2^5 + 2909*T1^7*T2^5 - 
     3887*T1^8*T2^5 + 649*T1^9*T2^5 + 267*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1518*T1^2*T2^6 + 2491*T1^3*T2^6 - 
     7408*T1^4*T2^6 + 2596*T1^5*T2^6 + 1680*T1^6*T2^6 - 4432*T1^7*T2^6 + 
     2294*T1^8*T2^6 + 1337*T1^9*T2^6 - 1138*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 311*T1^2*T2^7 - 2893*T1^3*T2^7 + 
     2891*T1^4*T2^7 + 2909*T1^5*T2^7 - 4432*T1^6*T2^7 + 2242*T1^7*T2^7 + 
     1276*T1^8*T2^7 - 3523*T1^9*T2^7 + 1684*T1^10*T2^7 + 3*T1^11*T2^7 - 
     83*T1^12*T2^7 - 194*T1^2*T2^8 + 413*T1^3*T2^8 + 1244*T1^4*T2^8 - 
     3887*T1^5*T2^8 + 2294*T1^6*T2^8 + 1276*T1^7*T2^8 - 3346*T1^8*T2^8 + 
     3619*T1^9*T2^8 - 1058*T1^10*T2^8 - 423*T1^11*T2^8 + 174*T1^12*T2^8 + 
     119*T1^3*T2^9 - 599*T1^4*T2^9 + 649*T1^5*T2^9 + 1337*T1^6*T2^9 - 
     3523*T1^7*T2^9 + 3619*T1^8*T2^9 - 2567*T1^9*T2^9 + 212*T1^10*T2^9 + 
     677*T1^11*T2^9 - 205*T1^12*T2^9 - 10*T1^4*T2^10 + 267*T1^5*T2^10 - 
     1138*T1^6*T2^10 + 1684*T1^7*T2^10 - 1058*T1^8*T2^10 + 212*T1^9*T2^10 + 
     794*T1^10*T2^10 - 745*T1^11*T2^10 + 174*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 + 3*T1^7*T2^11 - 423*T1^8*T2^11 + 677*T1^9*T2^11 - 
     745*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 174*T1^8*T2^12 - 205*T1^9*T2^12 + 174*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 103] -> {((-2 + T)^2*(-1 + 2*T)^2)/T^2, 
   (2*(-72 + 362*T1 - 600*T1^2 + 362*T1^3 - 72*T1^4 + 362*T2 - 1620*T1*T2 + 
      1999*T1^2*T2 - 121*T1^3*T2 - 660*T1^4*T2 + 202*T1^5*T2 - 600*T2^2 + 
      1999*T1*T2^2 + 84*T1^2*T2^2 - 5190*T1^3*T2^2 + 3912*T1^4*T2^2 - 
      641*T1^5*T2^2 - 72*T1^6*T2^2 + 362*T2^3 - 121*T1*T2^3 - 
      5190*T1^2*T2^3 + 10354*T1^3*T2^3 - 4256*T1^4*T2^3 - 1230*T1^5*T2^3 + 
      959*T1^6*T2^3 - 118*T1^7*T2^3 - 72*T2^4 - 660*T1*T2^4 + 
      3912*T1^2*T2^4 - 4256*T1^3*T2^4 - 3456*T1^4*T2^4 + 6704*T1^5*T2^4 - 
      3032*T1^6*T2^4 + 300*T1^7*T2^4 + 56*T1^8*T2^4 + 202*T1*T2^5 - 
      641*T1^2*T2^5 - 1230*T1^3*T2^5 + 6704*T1^4*T2^5 - 7906*T1^5*T2^5 + 
      2730*T1^6*T2^5 + 439*T1^7*T2^5 - 278*T1^8*T2^5 - 72*T1^2*T2^6 + 
      959*T1^3*T2^6 - 3032*T1^4*T2^6 + 2730*T1^5*T2^6 + 796*T1^6*T2^6 - 
      1681*T1^7*T2^6 + 456*T1^8*T2^6 - 118*T1^3*T2^7 + 300*T1^4*T2^7 + 
      439*T1^5*T2^7 - 1681*T1^6*T2^7 + 1260*T1^7*T2^7 - 278*T1^8*T2^7 + 
      56*T1^4*T2^8 - 278*T1^5*T2^8 + 456*T1^6*T2^8 - 278*T1^7*T2^8 + 
      56*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 104] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((-25 + 149*T1 - 359*T1^2 + 483*T1^3 - 359*T1^4 + 149*T1^5 - 25*T1^6 + 
      149*T2 - 788*T1*T2 + 1542*T1^2*T2 - 1436*T1^3*T2 + 196*T1^4*T2 + 
      558*T1^5*T2 - 452*T1^6*T2 + 101*T1^7*T2 - 359*T2^2 + 1542*T1*T2^2 - 
      1714*T1^2*T2^2 - 922*T1^3*T2^2 + 4636*T1^4*T2^2 - 4054*T1^5*T2^2 + 
      1418*T1^6*T2^2 + 150*T1^7*T2^2 - 127*T1^8*T2^2 + 483*T2^3 - 
      1436*T1*T2^3 - 922*T1^2*T2^3 + 6998*T1^3*T2^3 - 10406*T1^4*T2^3 + 
      3664*T1^5*T2^3 + 2324*T1^6*T2^3 - 2836*T1^7*T2^3 + 676*T1^8*T2^3 + 
      15*T1^9*T2^3 - 359*T2^4 + 196*T1*T2^4 + 4636*T1^2*T2^4 - 
      10406*T1^3*T2^4 + 7253*T1^4*T2^4 + 7351*T1^5*T2^4 - 11755*T1^6*T2^4 + 
      5818*T1^7*T2^4 + 132*T1^8*T2^4 - 716*T1^9*T2^4 + 105*T1^10*T2^4 + 
      149*T2^5 + 558*T1*T2^5 - 4054*T1^2*T2^5 + 3664*T1^3*T2^5 + 
      7351*T1^4*T2^5 - 21145*T1^5*T2^5 + 14639*T1^6*T2^5 + 304*T1^7*T2^5 - 
      6098*T1^8*T2^5 + 2732*T1^9*T2^5 - 90*T1^10*T2^5 - 91*T1^11*T2^5 - 
      25*T2^6 - 452*T1*T2^6 + 1418*T1^2*T2^6 + 2324*T1^3*T2^6 - 
      11755*T1^4*T2^6 + 14639*T1^5*T2^6 + 1236*T1^6*T2^6 - 15511*T1^7*T2^6 + 
      11891*T1^8*T2^6 - 2092*T1^9*T2^6 - 1434*T1^10*T2^6 + 412*T1^11*T2^6 + 
      23*T1^12*T2^6 + 101*T1*T2^7 + 150*T1^2*T2^7 - 2836*T1^3*T2^7 + 
      5818*T1^4*T2^7 + 304*T1^5*T2^7 - 15511*T1^6*T2^7 + 20273*T1^7*T2^7 - 
      6743*T1^8*T2^7 - 3944*T1^9*T2^7 + 3950*T1^10*T2^7 - 498*T1^11*T2^7 - 
      139*T1^12*T2^7 - 127*T1^2*T2^8 + 676*T1^3*T2^8 + 132*T1^4*T2^8 - 
      6098*T1^5*T2^8 + 11891*T1^6*T2^8 - 6743*T1^7*T2^8 - 7117*T1^8*T2^8 + 
      10126*T1^9*T2^8 - 4372*T1^10*T2^8 - 236*T1^11*T2^8 + 337*T1^12*T2^8 + 
      15*T1^3*T2^9 - 716*T1^4*T2^9 + 2732*T1^5*T2^9 - 2092*T1^6*T2^9 - 
      3944*T1^7*T2^9 + 10126*T1^8*T2^9 - 6766*T1^9*T2^9 + 818*T1^10*T2^9 + 
      1396*T1^11*T2^9 - 453*T1^12*T2^9 + 105*T1^4*T2^10 - 90*T1^5*T2^10 - 
      1434*T1^6*T2^10 + 3950*T1^7*T2^10 - 4372*T1^8*T2^10 + 818*T1^9*T2^10 + 
      1698*T1^10*T2^10 - 1482*T1^11*T2^10 + 337*T1^12*T2^10 - 91*T1^5*T2^11 + 
      412*T1^6*T2^11 - 498*T1^7*T2^11 - 236*T1^8*T2^11 + 1396*T1^9*T2^11 - 
      1482*T1^10*T2^11 + 748*T1^11*T2^11 - 139*T1^12*T2^11 + 23*T1^6*T2^12 - 
      139*T1^7*T2^12 + 337*T1^8*T2^12 - 453*T1^9*T2^12 + 337*T1^10*T2^12 - 
      139*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 105] -> 
  {-((3 - 13*T + 24*T^2 - 29*T^3 + 24*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 596*T1 - 1094*T1^2 + 1320*T1^3 - 1094*T1^4 + 596*T1^5 - 
      138*T1^6 + 596*T2 - 2099*T1*T2 + 2669*T1^2*T2 - 1918*T1^3*T2 + 
      149*T1^4*T2 + 1226*T1^5*T2 - 1475*T1^6*T2 + 479*T1^7*T2 - 1094*T2^2 + 
      2669*T1*T2^2 - 410*T1^2*T2^2 - 3170*T1^3*T2^2 + 6036*T1^4*T2^2 - 
      5474*T1^5*T2^2 + 2614*T1^6*T2^2 + 797*T1^7*T2^2 - 662*T1^8*T2^2 + 
      1320*T2^3 - 1918*T1*T2^3 - 3170*T1^2*T2^3 + 6065*T1^3*T2^3 - 
      5756*T1^4*T2^3 + 1123*T1^5*T2^3 + 2873*T1^6*T2^3 - 4442*T1^7*T2^3 + 
      539*T1^8*T2^3 + 537*T1^9*T2^3 - 1094*T2^4 + 149*T1*T2^4 + 
      6036*T1^2*T2^4 - 5756*T1^3*T2^4 + 2505*T1^4*T2^4 + 2677*T1^5*T2^4 - 
      3511*T1^6*T2^4 + 1726*T1^7*T2^4 + 3146*T1^8*T2^4 - 1333*T1^9*T2^4 - 
      230*T1^10*T2^4 + 596*T2^5 + 1226*T1*T2^5 - 5474*T1^2*T2^5 + 
      1123*T1^3*T2^5 + 2677*T1^4*T2^5 - 4483*T1^5*T2^5 + 893*T1^6*T2^5 + 
      2197*T1^7*T2^5 - 4550*T1^8*T2^5 - 74*T1^9*T2^5 + 953*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 1475*T1*T2^6 + 2614*T1^2*T2^6 + 
      2873*T1^3*T2^6 - 3511*T1^4*T2^6 + 893*T1^5*T2^6 + 3660*T1^6*T2^6 - 
      4045*T1^7*T2^6 + 2373*T1^8*T2^6 + 2555*T1^9*T2^6 - 1422*T1^10*T2^6 - 
      149*T1^11*T2^6 + 24*T1^12*T2^6 + 479*T1*T2^7 + 797*T1^2*T2^7 - 
      4442*T1^3*T2^7 + 1726*T1^4*T2^7 + 2197*T1^5*T2^7 - 4045*T1^6*T2^7 + 
      1331*T1^7*T2^7 + 1717*T1^8*T2^7 - 3947*T1^9*T2^7 + 958*T1^10*T2^7 + 
      524*T1^11*T2^7 - 106*T1^12*T2^7 - 662*T1^2*T2^8 + 539*T1^3*T2^8 + 
      3146*T1^4*T2^8 - 4550*T1^5*T2^8 + 2373*T1^6*T2^8 + 1717*T1^7*T2^8 - 
      3643*T1^8*T2^8 + 2932*T1^9*T2^8 + 256*T1^10*T2^8 - 943*T1^11*T2^8 + 
      202*T1^12*T2^8 + 537*T1^3*T2^9 - 1333*T1^4*T2^9 - 74*T1^5*T2^9 + 
      2555*T1^6*T2^9 - 3947*T1^7*T2^9 + 2932*T1^8*T2^9 - 637*T1^9*T2^9 - 
      1346*T1^10*T2^9 + 1124*T1^11*T2^9 - 246*T1^12*T2^9 - 230*T1^4*T2^10 + 
      953*T1^5*T2^10 - 1422*T1^6*T2^10 + 958*T1^7*T2^10 + 256*T1^8*T2^10 - 
      1346*T1^9*T2^10 + 1602*T1^10*T2^10 - 919*T1^11*T2^10 + 
      202*T1^12*T2^10 + 11*T1^5*T2^11 - 149*T1^6*T2^11 + 524*T1^7*T2^11 - 
      943*T1^8*T2^11 + 1124*T1^9*T2^11 - 919*T1^10*T2^11 + 475*T1^11*T2^11 - 
      106*T1^12*T2^11 + 24*T1^6*T2^12 - 106*T1^7*T2^12 + 202*T1^8*T2^12 - 
      246*T1^9*T2^12 + 202*T1^10*T2^12 - 106*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 106] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6))/T^4, 
   (-4 + 20*T1 - 48*T1^2 + 72*T1^3 - 84*T1^4 + 72*T1^5 - 48*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 165*T1^2*T2 - 180*T1^3*T2 + 150*T1^4*T2 - 
     45*T1^5*T2 - 30*T1^6*T2 + 80*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     48*T2^2 + 165*T1*T2^2 - 225*T1^2*T2^2 + 86*T1^3*T2^2 + 48*T1^4*T2^2 - 
     269*T1^5*T2^2 + 264*T1^6*T2^2 - 226*T1^7*T2^2 + 39*T1^8*T2^2 + 
     45*T1^9*T2^2 - 24*T1^10*T2^2 + 72*T2^3 - 180*T1*T2^3 + 86*T1^2*T2^3 + 
     268*T1^3*T2^3 - 352*T1^4*T2^3 + 522*T1^5*T2^3 - 198*T1^6*T2^3 + 
     44*T1^7*T2^3 + 274*T1^8*T2^3 - 202*T1^9*T2^3 + 30*T1^10*T2^3 + 
     18*T1^11*T2^3 - 84*T2^4 + 150*T1*T2^4 + 48*T1^2*T2^4 - 352*T1^3*T2^4 + 
     71*T1^4*T2^4 - 106*T1^5*T2^4 - 469*T1^6*T2^4 + 422*T1^7*T2^4 - 
     589*T1^8*T2^4 + 116*T1^9*T2^4 + 156*T1^10*T2^4 - 90*T1^11*T2^4 + 
     72*T2^5 - 45*T1*T2^5 - 269*T1^2*T2^5 + 522*T1^3*T2^5 - 106*T1^4*T2^5 + 
     297*T1^5*T2^5 + 369*T1^6*T2^5 - 135*T1^7*T2^5 + 297*T1^8*T2^5 + 
     317*T1^9*T2^5 - 342*T1^10*T2^5 + 10*T1^11*T2^5 + 90*T1^12*T2^5 - 
     18*T1^13*T2^5 - 48*T2^6 - 30*T1*T2^6 + 264*T1^2*T2^6 - 198*T1^3*T2^6 - 
     469*T1^4*T2^6 + 369*T1^5*T2^6 - 1177*T1^6*T2^6 + 675*T1^7*T2^6 - 
     529*T1^8*T2^6 - 279*T1^9*T2^6 + 107*T1^10*T2^6 + 306*T1^11*T2^6 - 
     168*T1^12*T2^6 - 30*T1^13*T2^6 + 24*T1^14*T2^6 + 20*T2^7 + 80*T1*T2^7 - 
     226*T1^2*T2^7 + 44*T1^3*T2^7 + 422*T1^4*T2^7 - 135*T1^5*T2^7 + 
     675*T1^6*T2^7 + 29*T1^7*T2^7 - 163*T1^8*T2^7 + 447*T1^9*T2^7 + 
     81*T1^10*T2^7 - 421*T1^11*T2^7 - 64*T1^12*T2^7 + 206*T1^13*T2^7 - 
     45*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 39*T1^2*T2^8 + 
     274*T1^3*T2^8 - 589*T1^4*T2^8 + 297*T1^5*T2^8 - 529*T1^6*T2^8 - 
     163*T1^7*T2^8 + 312*T1^8*T2^8 - 209*T1^9*T2^8 - 37*T1^10*T2^8 + 
     63*T1^11*T2^8 + 551*T1^12*T2^8 - 302*T1^13*T2^8 - 39*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 45*T1^2*T2^9 - 
     202*T1^3*T2^9 + 116*T1^4*T2^9 + 317*T1^5*T2^9 - 279*T1^6*T2^9 + 
     447*T1^7*T2^9 - 209*T1^8*T2^9 - 401*T1^9*T2^9 + 219*T1^10*T2^9 - 
     63*T1^11*T2^9 - 526*T1^12*T2^9 + 8*T1^13*T2^9 + 230*T1^14*T2^9 - 
     80*T1^15*T2^9 - 20*T1^16*T2^9 - 24*T1^2*T2^10 + 30*T1^3*T2^10 + 
     156*T1^4*T2^10 - 342*T1^5*T2^10 + 107*T1^6*T2^10 + 81*T1^7*T2^10 - 
     37*T1^8*T2^10 + 219*T1^9*T2^10 + 611*T1^10*T2^10 - 567*T1^11*T2^10 + 
     683*T1^12*T2^10 + 162*T1^13*T2^10 - 276*T1^14*T2^10 + 30*T1^15*T2^10 + 
     48*T1^16*T2^10 + 18*T1^3*T2^11 - 90*T1^4*T2^11 + 10*T1^5*T2^11 + 
     306*T1^6*T2^11 - 421*T1^7*T2^11 + 63*T1^8*T2^11 - 63*T1^9*T2^11 - 
     567*T1^10*T2^11 + 63*T1^11*T2^11 + 2*T1^12*T2^11 - 558*T1^13*T2^11 + 
     289*T1^14*T2^11 + 45*T1^15*T2^11 - 72*T1^16*T2^11 + 90*T1^5*T2^12 - 
     168*T1^6*T2^12 - 64*T1^7*T2^12 + 551*T1^8*T2^12 - 526*T1^9*T2^12 + 
     683*T1^10*T2^12 + 2*T1^11*T2^12 - 109*T1^12*T2^12 + 404*T1^13*T2^12 - 
     60*T1^14*T2^12 - 150*T1^15*T2^12 + 84*T1^16*T2^12 - 18*T1^5*T2^13 - 
     30*T1^6*T2^13 + 206*T1^7*T2^13 - 302*T1^8*T2^13 + 8*T1^9*T2^13 + 
     162*T1^10*T2^13 - 558*T1^11*T2^13 + 404*T1^12*T2^13 - 296*T1^13*T2^13 - 
     82*T1^14*T2^13 + 180*T1^15*T2^13 - 72*T1^16*T2^13 + 24*T1^6*T2^14 - 
     45*T1^7*T2^14 - 39*T1^8*T2^14 + 230*T1^9*T2^14 - 276*T1^10*T2^14 + 
     289*T1^11*T2^14 - 60*T1^12*T2^14 - 82*T1^13*T2^14 + 225*T1^14*T2^14 - 
     165*T1^15*T2^14 + 48*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 
     80*T1^9*T2^15 + 30*T1^10*T2^15 + 45*T1^11*T2^15 - 150*T1^12*T2^15 + 
     180*T1^13*T2^15 - 165*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 
     4*T1^8*T2^16 - 20*T1^9*T2^16 + 48*T1^10*T2^16 - 72*T1^11*T2^16 + 
     84*T1^12*T2^16 - 72*T1^13*T2^16 + 48*T1^14*T2^16 - 20*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 107] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-31 + 171*T1 - 404*T1^2 + 513*T1^3 - 404*T1^4 + 171*T1^5 - 31*T1^6 + 
     171*T2 - 816*T1*T2 + 1527*T1^2*T2 - 1173*T1^3*T2 + 125*T1^4*T2 + 
     713*T1^5*T2 - 530*T1^6*T2 + 127*T1^7*T2 - 404*T2^2 + 1527*T1*T2^2 - 
     1600*T1^2*T2^2 - 1344*T1^3*T2^2 + 3758*T1^4*T2^2 - 3632*T1^5*T2^2 + 
     896*T1^6*T2^2 + 383*T1^7*T2^2 - 196*T1^8*T2^2 + 513*T2^3 - 
     1173*T1*T2^3 - 1344*T1^2*T2^3 + 7168*T1^3*T2^3 - 7247*T1^4*T2^3 + 
     2301*T1^5*T2^3 + 3516*T1^6*T2^3 - 2774*T1^7*T2^3 + 433*T1^8*T2^3 + 
     117*T1^9*T2^3 - 404*T2^4 + 125*T1*T2^4 + 3758*T1^2*T2^4 - 
     7247*T1^3*T2^4 - 22*T1^4*T2^4 + 8630*T1^5*T2^4 - 11002*T1^6*T2^4 + 
     3313*T1^7*T2^4 + 1180*T1^8*T2^4 - 711*T1^9*T2^4 + 12*T1^10*T2^4 + 
     171*T2^5 + 713*T1*T2^5 - 3632*T1^2*T2^5 + 2301*T1^3*T2^5 + 
     8630*T1^4*T2^5 - 13164*T1^5*T2^5 + 7142*T1^6*T2^5 + 4054*T1^7*T2^5 - 
     5223*T1^8*T2^5 + 1230*T1^9*T2^5 + 207*T1^10*T2^5 - 49*T1^11*T2^5 - 
     31*T2^6 - 530*T1*T2^6 + 896*T1^2*T2^6 + 3516*T1^3*T2^6 - 
     11002*T1^4*T2^6 + 7142*T1^5*T2^6 + 4284*T1^6*T2^6 - 11250*T1^7*T2^6 + 
     6098*T1^8*T2^6 + 436*T1^9*T2^6 - 1100*T1^10*T2^6 + 174*T1^11*T2^6 + 
     17*T1^12*T2^6 + 127*T1*T2^7 + 383*T1^2*T2^7 - 2774*T1^3*T2^7 + 
     3313*T1^4*T2^7 + 4054*T1^5*T2^7 - 11250*T1^6*T2^7 + 9056*T1^7*T2^7 - 
     522*T1^8*T2^7 - 4211*T1^9*T2^7 + 2088*T1^10*T2^7 - 123*T1^11*T2^7 - 
     93*T1^12*T2^7 - 196*T1^2*T2^8 + 433*T1^3*T2^8 + 1180*T1^4*T2^8 - 
     5223*T1^5*T2^8 + 6098*T1^6*T2^8 - 522*T1^7*T2^8 - 4882*T1^8*T2^8 + 
     5337*T1^9*T2^8 - 1398*T1^10*T2^8 - 403*T1^11*T2^8 + 220*T1^12*T2^8 + 
     117*T1^3*T2^9 - 711*T1^4*T2^9 + 1230*T1^5*T2^9 + 436*T1^6*T2^9 - 
     4211*T1^7*T2^9 + 5337*T1^8*T2^9 - 3216*T1^9*T2^9 - 200*T1^10*T2^9 + 
     895*T1^11*T2^9 - 279*T1^12*T2^9 + 12*T1^4*T2^10 + 207*T1^5*T2^10 - 
     1100*T1^6*T2^10 + 2088*T1^7*T2^10 - 1398*T1^8*T2^10 - 200*T1^9*T2^10 + 
     1396*T1^10*T2^10 - 937*T1^11*T2^10 + 220*T1^12*T2^10 - 49*T1^5*T2^11 + 
     174*T1^6*T2^11 - 123*T1^7*T2^11 - 403*T1^8*T2^11 + 895*T1^9*T2^11 - 
     937*T1^10*T2^11 + 460*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
     93*T1^7*T2^12 + 220*T1^8*T2^12 - 279*T1^9*T2^12 + 220*T1^10*T2^12 - 
     93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 108] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 15*T1 - 36*T1^2 + 60*T1^3 - 69*T1^4 + 60*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 180*T1^3*T2 + 
      145*T1^4*T2 - 70*T1^5*T2 - 20*T1^6*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 184*T1^3*T2^2 + 
      16*T1^4*T2^2 - 172*T1^5*T2^2 + 280*T1^6*T2^2 - 176*T1^7*T2^2 + 
      70*T1^8*T2^2 + 10*T1^9*T2^2 - 12*T1^10*T2^2 + 60*T2^3 - 180*T1*T2^3 + 
      184*T1^2*T2^3 - 88*T1^3*T2^3 - 254*T1^4*T2^3 + 328*T1^5*T2^3 - 
      332*T1^6*T2^3 - 14*T1^7*T2^3 + 152*T1^8*T2^3 - 176*T1^9*T2^3 + 
      60*T1^10*T2^3 - 69*T2^4 + 145*T1*T2^4 + 16*T1^2*T2^4 - 254*T1^3*T2^4 + 
      713*T1^4*T2^4 - 567*T1^5*T2^4 + 379*T1^6*T2^4 + 253*T1^7*T2^4 - 
      263*T1^8*T2^4 + 106*T1^9*T2^4 + 120*T1^10*T2^4 - 115*T1^11*T2^4 + 
      23*T1^12*T2^4 + 60*T2^5 - 70*T1*T2^5 - 172*T1^2*T2^5 + 328*T1^3*T2^5 - 
      567*T1^4*T2^5 + 7*T1^5*T2^5 + 260*T1^6*T2^5 - 720*T1^7*T2^5 + 
      127*T1^8*T2^5 + 298*T1^9*T2^5 - 372*T1^10*T2^5 + 113*T1^11*T2^5 + 
      85*T1^12*T2^5 - 40*T1^13*T2^5 - 36*T2^6 - 20*T1*T2^6 + 280*T1^2*T2^6 - 
      332*T1^3*T2^6 + 379*T1^4*T2^6 + 260*T1^5*T2^6 - 262*T1^6*T2^6 + 
      252*T1^7*T2^6 + 602*T1^8*T2^6 - 660*T1^9*T2^6 + 107*T1^10*T2^6 + 
      268*T1^11*T2^6 - 304*T1^12*T2^6 + 20*T1^13*T2^6 + 36*T1^14*T2^6 + 
      15*T2^7 + 45*T1*T2^7 - 176*T1^2*T2^7 - 14*T1^3*T2^7 + 253*T1^4*T2^7 - 
      720*T1^5*T2^7 + 252*T1^6*T2^7 + 451*T1^7*T2^7 - 1179*T1^8*T2^7 + 
      692*T1^9*T2^7 + 380*T1^10*T2^7 - 432*T1^11*T2^7 + 226*T1^12*T2^7 + 
      184*T1^13*T2^7 - 80*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      70*T1^2*T2^8 + 152*T1^3*T2^8 - 263*T1^4*T2^8 + 127*T1^5*T2^8 + 
      602*T1^6*T2^8 - 1179*T1^7*T2^8 + 600*T1^8*T2^8 + 591*T1^9*T2^8 - 
      1630*T1^10*T2^8 + 697*T1^11*T2^8 - 167*T1^12*T2^8 - 288*T1^13*T2^8 - 
      8*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      10*T1^2*T2^9 - 176*T1^3*T2^9 + 106*T1^4*T2^9 + 298*T1^5*T2^9 - 
      660*T1^6*T2^9 + 692*T1^7*T2^9 + 591*T1^8*T2^9 - 1039*T1^9*T2^9 + 
      1132*T1^10*T2^9 + 440*T1^11*T2^9 - 387*T1^12*T2^9 + 346*T1^13*T2^9 + 
      184*T1^14*T2^9 - 115*T1^15*T2^9 - 25*T1^16*T2^9 - 12*T1^2*T2^10 + 
      60*T1^3*T2^10 + 120*T1^4*T2^10 - 372*T1^5*T2^10 + 107*T1^6*T2^10 + 
      380*T1^7*T2^10 - 1630*T1^8*T2^10 + 1132*T1^9*T2^10 - 766*T1^10*T2^10 - 
      540*T1^11*T2^10 - 165*T1^12*T2^10 + 228*T1^13*T2^10 - 464*T1^14*T2^10 + 
      100*T1^15*T2^10 + 60*T1^16*T2^10 - 115*T1^4*T2^11 + 113*T1^5*T2^11 + 
      268*T1^6*T2^11 - 432*T1^7*T2^11 + 697*T1^8*T2^11 + 440*T1^9*T2^11 - 
      540*T1^10*T2^11 + 817*T1^11*T2^11 + 433*T1^12*T2^11 - 432*T1^13*T2^11 + 
      398*T1^14*T2^11 + 40*T1^15*T2^11 - 100*T1^16*T2^11 + 23*T1^4*T2^12 + 
      85*T1^5*T2^12 - 304*T1^6*T2^12 + 226*T1^7*T2^12 - 167*T1^8*T2^12 - 
      387*T1^9*T2^12 - 165*T1^10*T2^12 + 433*T1^11*T2^12 - 1143*T1^12*T2^12 + 
      586*T1^13*T2^12 - 200*T1^14*T2^12 - 175*T1^15*T2^12 + 115*T1^16*T2^12 - 
      40*T1^5*T2^13 + 20*T1^6*T2^13 + 184*T1^7*T2^13 - 288*T1^8*T2^13 + 
      346*T1^9*T2^13 + 228*T1^10*T2^13 - 432*T1^11*T2^13 + 586*T1^12*T2^13 - 
      48*T1^13*T2^13 - 176*T1^14*T2^13 + 260*T1^15*T2^13 - 100*T1^16*T2^13 + 
      36*T1^6*T2^14 - 80*T1^7*T2^14 - 8*T1^8*T2^14 + 184*T1^9*T2^14 - 
      464*T1^10*T2^14 + 398*T1^11*T2^14 - 200*T1^12*T2^14 - 176*T1^13*T2^14 + 
      256*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 115*T1^9*T2^15 + 100*T1^10*T2^15 + 40*T1^11*T2^15 - 
      175*T1^12*T2^15 + 260*T1^13*T2^15 - 200*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 60*T1^10*T2^16 - 
      100*T1^11*T2^16 + 115*T1^12*T2^16 - 100*T1^13*T2^16 + 60*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 109] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 20*T1 - 56*T1^2 + 96*T1^3 - 116*T1^4 + 96*T1^5 - 56*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 205*T1^2*T2 - 270*T1^3*T2 + 220*T1^4*T2 - 
     45*T1^5*T2 - 80*T1^6*T2 + 110*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     56*T2^2 + 205*T1*T2^2 - 437*T1^2*T2^2 + 436*T1^3*T2^2 - 224*T1^4*T2^2 - 
     147*T1^5*T2^2 + 196*T1^6*T2^2 - 96*T1^7*T2^2 - 73*T1^8*T2^2 + 
     65*T1^9*T2^2 - 28*T1^10*T2^2 + 96*T2^3 - 270*T1*T2^3 + 436*T1^2*T2^3 - 
     54*T1^3*T2^3 - 382*T1^4*T2^3 + 742*T1^5*T2^3 - 232*T1^6*T2^3 - 
     170*T1^7*T2^3 + 416*T1^8*T2^3 - 152*T1^9*T2^3 + 20*T1^10*T2^3 + 
     24*T1^11*T2^3 - 116*T2^4 + 220*T1*T2^4 - 224*T1^2*T2^4 - 382*T1^3*T2^4 + 
     332*T1^4*T2^4 + 46*T1^5*T2^4 - 1392*T1^6*T2^4 + 1442*T1^7*T2^4 - 
     980*T1^8*T2^4 - 46*T1^9*T2^4 + 200*T1^10*T2^4 - 120*T1^11*T2^4 + 
     96*T2^5 - 45*T1*T2^5 - 147*T1^2*T2^5 + 742*T1^3*T2^5 + 46*T1^4*T2^5 - 
     923*T1^5*T2^5 + 2330*T1^6*T2^5 - 1228*T1^7*T2^5 + 55*T1^8*T2^5 + 
     1057*T1^9*T2^5 - 452*T1^10*T2^5 + 12*T1^11*T2^5 + 120*T1^12*T2^5 - 
     24*T1^13*T2^5 - 56*T2^6 - 80*T1*T2^6 + 196*T1^2*T2^6 - 232*T1^3*T2^6 - 
     1392*T1^4*T2^6 + 2330*T1^5*T2^6 - 2870*T1^6*T2^6 + 256*T1^7*T2^6 + 
     1282*T1^8*T2^6 - 1674*T1^9*T2^6 + 80*T1^10*T2^6 + 412*T1^11*T2^6 - 
     216*T1^12*T2^6 - 20*T1^13*T2^6 + 28*T1^14*T2^6 + 20*T2^7 + 110*T1*T2^7 - 
     96*T1^2*T2^7 - 170*T1^3*T2^7 + 1442*T1^4*T2^7 - 1228*T1^5*T2^7 + 
     256*T1^6*T2^7 + 2541*T1^7*T2^7 - 2483*T1^8*T2^7 + 692*T1^9*T2^7 + 
     1438*T1^10*T2^7 - 1109*T1^11*T2^7 + 114*T1^12*T2^7 + 156*T1^13*T2^7 - 
     65*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 73*T1^2*T2^8 + 
     416*T1^3*T2^8 - 980*T1^4*T2^8 + 55*T1^5*T2^8 + 1282*T1^6*T2^8 - 
     2483*T1^7*T2^8 + 660*T1^8*T2^8 + 1811*T1^9*T2^8 - 2142*T1^10*T2^8 + 
     373*T1^11*T2^8 + 868*T1^12*T2^8 - 444*T1^13*T2^8 + 73*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 65*T1^2*T2^9 - 
     152*T1^3*T2^9 - 46*T1^4*T2^9 + 1057*T1^5*T2^9 - 1674*T1^6*T2^9 + 
     692*T1^7*T2^9 + 1811*T1^8*T2^9 - 3213*T1^9*T2^9 + 1128*T1^10*T2^9 + 
     992*T1^11*T2^9 - 1494*T1^12*T2^9 + 238*T1^13*T2^9 + 100*T1^14*T2^9 - 
     110*T1^15*T2^9 - 20*T1^16*T2^9 - 28*T1^2*T2^10 + 20*T1^3*T2^10 + 
     200*T1^4*T2^10 - 452*T1^5*T2^10 + 80*T1^6*T2^10 + 1438*T1^7*T2^10 - 
     2142*T1^8*T2^10 + 1128*T1^9*T2^10 + 2010*T1^10*T2^10 - 
     2566*T1^11*T2^10 + 1552*T1^12*T2^10 + 192*T1^13*T2^10 - 
     212*T1^14*T2^10 + 80*T1^15*T2^10 + 56*T1^16*T2^10 + 24*T1^3*T2^11 - 
     120*T1^4*T2^11 + 12*T1^5*T2^11 + 412*T1^6*T2^11 - 1109*T1^7*T2^11 + 
     373*T1^8*T2^11 + 992*T1^9*T2^11 - 2566*T1^10*T2^11 + 1351*T1^11*T2^11 - 
     98*T1^12*T2^11 - 782*T1^13*T2^11 + 171*T1^14*T2^11 + 45*T1^15*T2^11 - 
     96*T1^16*T2^11 + 120*T1^5*T2^12 - 216*T1^6*T2^12 + 114*T1^7*T2^12 + 
     868*T1^8*T2^12 - 1494*T1^9*T2^12 + 1552*T1^10*T2^12 - 98*T1^11*T2^12 - 
     444*T1^12*T2^12 + 450*T1^13*T2^12 + 208*T1^14*T2^12 - 220*T1^15*T2^12 + 
     116*T1^16*T2^12 - 24*T1^5*T2^13 - 20*T1^6*T2^13 + 156*T1^7*T2^13 - 
     444*T1^8*T2^13 + 238*T1^9*T2^13 + 192*T1^10*T2^13 - 782*T1^11*T2^13 + 
     450*T1^12*T2^13 + 26*T1^13*T2^13 - 432*T1^14*T2^13 + 270*T1^15*T2^13 - 
     96*T1^16*T2^13 + 28*T1^6*T2^14 - 65*T1^7*T2^14 + 73*T1^8*T2^14 + 
     100*T1^9*T2^14 - 212*T1^10*T2^14 + 171*T1^11*T2^14 + 208*T1^12*T2^14 - 
     432*T1^13*T2^14 + 437*T1^14*T2^14 - 205*T1^15*T2^14 + 56*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 110*T1^9*T2^15 + 80*T1^10*T2^15 + 
     45*T1^11*T2^15 - 220*T1^12*T2^15 + 270*T1^13*T2^15 - 205*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     56*T1^10*T2^16 - 96*T1^11*T2^16 + 116*T1^12*T2^16 - 96*T1^13*T2^16 + 
     56*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 110] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 253*T1^2 + 333*T1^3 - 253*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 890*T1^2*T2 - 840*T1^3*T2 + 180*T1^4*T2 + 
      250*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 253*T2^2 + 890*T1*T2^2 - 
      977*T1^2*T2^2 - 97*T1^3*T2^2 + 1823*T1^4*T2^2 - 1769*T1^5*T2^2 + 
      783*T1^6*T2^2 + 10*T1^7*T2^2 - 77*T1^8*T2^2 + 333*T2^3 - 840*T1*T2^3 - 
      97*T1^2*T2^3 + 2336*T1^3*T2^3 - 3978*T1^4*T2^3 + 1674*T1^5*T2^3 + 
      690*T1^6*T2^3 - 1285*T1^7*T2^3 + 460*T1^8*T2^3 - 15*T1^9*T2^3 - 
      253*T2^4 + 180*T1*T2^4 + 1823*T1^2*T2^4 - 3978*T1^3*T2^4 + 
      3375*T1^4*T2^4 + 1839*T1^5*T2^4 - 4125*T1^6*T2^4 + 2518*T1^7*T2^4 - 
      105*T1^8*T2^4 - 420*T1^9*T2^4 + 99*T1^10*T2^4 + 115*T2^5 + 
      250*T1*T2^5 - 1769*T1^2*T2^5 + 1674*T1^3*T2^5 + 1839*T1^4*T2^5 - 
      6966*T1^5*T2^5 + 5652*T1^6*T2^5 - 317*T1^7*T2^5 - 2290*T1^8*T2^5 + 
      1355*T1^9*T2^5 - 70*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 783*T1^2*T2^6 + 690*T1^3*T2^6 - 4125*T1^4*T2^6 + 
      5652*T1^5*T2^6 - 876*T1^6*T2^6 - 4980*T1^7*T2^6 + 4163*T1^8*T2^6 - 
      886*T1^9*T2^6 - 753*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 + 10*T1^2*T2^7 - 1285*T1^3*T2^7 + 2518*T1^4*T2^7 - 
      317*T1^5*T2^7 - 4980*T1^6*T2^7 + 7638*T1^7*T2^7 - 2473*T1^8*T2^7 - 
      1446*T1^9*T2^7 + 1839*T1^10*T2^7 - 310*T1^11*T2^7 - 125*T1^12*T2^7 - 
      77*T1^2*T2^8 + 460*T1^3*T2^8 - 105*T1^4*T2^8 - 2290*T1^5*T2^8 + 
      4163*T1^6*T2^8 - 2473*T1^7*T2^8 - 3337*T1^8*T2^8 + 4206*T1^9*T2^8 - 
      2033*T1^10*T2^8 - 140*T1^11*T2^8 + 275*T1^12*T2^8 - 15*T1^3*T2^9 - 
      420*T1^4*T2^9 + 1355*T1^5*T2^9 - 886*T1^6*T2^9 - 1446*T1^7*T2^9 + 
      4206*T1^8*T2^9 - 2532*T1^9*T2^9 + 167*T1^10*T2^9 + 880*T1^11*T2^9 - 
      363*T1^12*T2^9 + 99*T1^4*T2^10 - 70*T1^5*T2^10 - 753*T1^6*T2^10 + 
      1839*T1^7*T2^10 - 2033*T1^8*T2^10 + 167*T1^9*T2^10 + 1007*T1^10*T2^10 - 
      950*T1^11*T2^10 + 275*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      310*T1^7*T2^11 - 140*T1^8*T2^11 + 880*T1^9*T2^11 - 950*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      275*T1^8*T2^12 - 363*T1^9*T2^12 + 275*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 111] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-31 + 155*T1 - 371*T1^2 + 479*T1^3 - 371*T1^4 + 155*T1^5 - 31*T1^6 + 
     155*T2 - 660*T1*T2 + 1280*T1^2*T2 - 1020*T1^3*T2 + 80*T1^4*T2 + 
     600*T1^5*T2 - 420*T1^6*T2 + 115*T1^7*T2 - 371*T2^2 + 1280*T1*T2^2 - 
     1729*T1^2*T2^2 - 295*T1^3*T2^2 + 2373*T1^4*T2^2 - 2311*T1^5*T2^2 + 
     383*T1^6*T2^2 + 320*T1^7*T2^2 - 179*T1^8*T2^2 + 479*T2^3 - 
     1020*T1*T2^3 - 295*T1^2*T2^3 + 4766*T1^3*T2^3 - 5426*T1^4*T2^3 + 
     1450*T1^5*T2^3 + 2744*T1^6*T2^3 - 1879*T1^7*T2^3 + 360*T1^8*T2^3 + 
     107*T1^9*T2^3 - 371*T2^4 + 80*T1*T2^4 + 2373*T1^2*T2^4 - 
     5426*T1^3*T2^4 + 180*T1^4*T2^4 + 7306*T1^5*T2^4 - 8616*T1^6*T2^4 + 
     2262*T1^7*T2^4 + 781*T1^8*T2^4 - 600*T1^9*T2^4 + 13*T1^10*T2^4 + 
     155*T2^5 + 600*T1*T2^5 - 2311*T1^2*T2^5 + 1450*T1^3*T2^5 + 
     7306*T1^4*T2^5 - 11744*T1^5*T2^5 + 5896*T1^6*T2^5 + 3370*T1^7*T2^5 - 
     3802*T1^8*T2^5 + 1001*T1^9*T2^5 + 160*T1^10*T2^5 - 45*T1^11*T2^5 - 
     31*T2^6 - 420*T1*T2^6 + 383*T1^2*T2^6 + 2744*T1^3*T2^6 - 
     8616*T1^4*T2^6 + 5896*T1^5*T2^6 + 4224*T1^6*T2^6 - 9736*T1^7*T2^6 + 
     4904*T1^8*T2^6 + 80*T1^9*T2^6 - 737*T1^10*T2^6 + 140*T1^11*T2^6 + 
     17*T1^12*T2^6 + 115*T1*T2^7 + 320*T1^2*T2^7 - 1879*T1^3*T2^7 + 
     2262*T1^4*T2^7 + 3370*T1^5*T2^7 - 9736*T1^6*T2^7 + 7904*T1^7*T2^7 - 
     566*T1^8*T2^7 - 2990*T1^9*T2^7 + 1433*T1^10*T2^7 - 120*T1^11*T2^7 - 
     85*T1^12*T2^7 - 179*T1^2*T2^8 + 360*T1^3*T2^8 + 781*T1^4*T2^8 - 
     3802*T1^5*T2^8 + 4904*T1^6*T2^8 - 566*T1^7*T2^8 - 3892*T1^8*T2^8 + 
     3886*T1^9*T2^8 - 811*T1^10*T2^8 - 320*T1^11*T2^8 + 205*T1^12*T2^8 + 
     107*T1^3*T2^9 - 600*T1^4*T2^9 + 1001*T1^5*T2^9 + 80*T1^6*T2^9 - 
     2990*T1^7*T2^9 + 3886*T1^8*T2^9 - 1942*T1^9*T2^9 - 583*T1^10*T2^9 + 
     780*T1^11*T2^9 - 265*T1^12*T2^9 + 13*T1^4*T2^10 + 160*T1^5*T2^10 - 
     737*T1^6*T2^10 + 1433*T1^7*T2^10 - 811*T1^8*T2^10 - 583*T1^9*T2^10 + 
     1375*T1^10*T2^10 - 800*T1^11*T2^10 + 205*T1^12*T2^10 - 45*T1^5*T2^11 + 
     140*T1^6*T2^11 - 120*T1^7*T2^11 - 320*T1^8*T2^11 + 780*T1^9*T2^11 - 
     800*T1^10*T2^11 + 380*T1^11*T2^11 - 85*T1^12*T2^11 + 17*T1^6*T2^12 - 
     85*T1^7*T2^12 + 205*T1^8*T2^12 - 265*T1^9*T2^12 + 205*T1^10*T2^12 - 
     85*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 112] -> 
  {((1 - 3*T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4, 
   (-4 + 24*T1 - 60*T1^2 + 100*T1^3 - 124*T1^4 + 100*T1^5 - 60*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 252*T1^2*T2 - 330*T1^3*T2 + 
     294*T1^4*T2 - 42*T1^5*T2 - 90*T1^6*T2 + 126*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 60*T2^2 + 252*T1*T2^2 - 282*T1^2*T2^2 + 59*T1^3*T2^2 + 
     395*T1^4*T2^2 - 1106*T1^5*T2^2 + 875*T1^6*T2^2 - 511*T1^7*T2^2 + 
     138*T1^8*T2^2 + 72*T1^9*T2^2 - 30*T1^10*T2^2 + 100*T2^3 - 330*T1*T2^3 + 
     59*T1^2*T2^3 + 505*T1^3*T2^3 - 1129*T1^4*T2^3 + 1764*T1^5*T2^3 - 
     276*T1^6*T2^3 - 304*T1^7*T2^3 + 565*T1^8*T2^3 - 436*T1^9*T2^3 + 
     30*T1^10*T2^3 + 25*T1^11*T2^3 - 124*T2^4 + 294*T1*T2^4 + 395*T1^2*T2^4 - 
     1129*T1^3*T2^4 + 1594*T1^4*T2^4 - 1778*T1^5*T2^4 - 960*T1^6*T2^4 + 
     666*T1^7*T2^4 - 386*T1^8*T2^4 - 29*T1^9*T2^4 + 455*T1^10*T2^4 - 
     150*T1^11*T2^4 + 100*T2^5 - 42*T1*T2^5 - 1106*T1^2*T2^5 + 
     1764*T1^3*T2^5 - 1778*T1^4*T2^5 + 1362*T1^5*T2^5 + 1729*T1^6*T2^5 + 
     424*T1^7*T2^5 - 1034*T1^8*T2^5 + 980*T1^9*T2^5 - 856*T1^10*T2^5 - 
     8*T1^11*T2^5 + 150*T1^12*T2^5 - 25*T1^13*T2^5 - 60*T2^6 - 90*T1*T2^6 + 
     875*T1^2*T2^6 - 276*T1^3*T2^6 - 960*T1^4*T2^6 + 1729*T1^5*T2^6 - 
     3339*T1^6*T2^6 - 1029*T1^7*T2^6 + 1401*T1^8*T2^6 - 191*T1^9*T2^6 - 
     150*T1^10*T2^6 + 894*T1^11*T2^6 - 445*T1^12*T2^6 - 30*T1^13*T2^6 + 
     30*T1^14*T2^6 + 24*T2^7 + 126*T1*T2^7 - 511*T1^2*T2^7 - 304*T1^3*T2^7 + 
     666*T1^4*T2^7 + 424*T1^5*T2^7 - 1029*T1^6*T2^7 + 4806*T1^7*T2^7 - 
     2750*T1^8*T2^7 - 584*T1^9*T2^7 + 499*T1^10*T2^7 - 836*T1^11*T2^7 - 
     29*T1^12*T2^7 + 434*T1^13*T2^7 - 72*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 138*T1^2*T2^8 + 565*T1^3*T2^8 - 386*T1^4*T2^8 - 
     1034*T1^5*T2^8 + 1401*T1^6*T2^8 - 2750*T1^7*T2^8 - 204*T1^8*T2^8 + 
     3126*T1^9*T2^8 - 629*T1^10*T2^8 + 462*T1^11*T2^8 + 462*T1^12*T2^8 - 
     545*T1^13*T2^8 - 138*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 72*T1^2*T2^9 - 436*T1^3*T2^9 - 29*T1^4*T2^9 + 
     980*T1^5*T2^9 - 191*T1^6*T2^9 - 584*T1^7*T2^9 + 3126*T1^8*T2^9 - 
     4430*T1^9*T2^9 - 139*T1^10*T2^9 - 116*T1^11*T2^9 - 522*T1^12*T2^9 + 
     246*T1^13*T2^9 + 509*T1^14*T2^9 - 126*T1^15*T2^9 - 24*T1^16*T2^9 - 
     30*T1^2*T2^10 + 30*T1^3*T2^10 + 455*T1^4*T2^10 - 856*T1^5*T2^10 - 
     150*T1^6*T2^10 + 499*T1^7*T2^10 - 629*T1^8*T2^10 - 139*T1^9*T2^10 + 
     4111*T1^10*T2^10 - 1421*T1^11*T2^10 + 660*T1^12*T2^10 + 
     314*T1^13*T2^10 - 865*T1^14*T2^10 + 90*T1^15*T2^10 + 60*T1^16*T2^10 + 
     25*T1^3*T2^11 - 150*T1^4*T2^11 - 8*T1^5*T2^11 + 894*T1^6*T2^11 - 
     836*T1^7*T2^11 + 462*T1^8*T2^11 - 116*T1^9*T2^11 - 1421*T1^10*T2^11 - 
     1934*T1^11*T2^11 + 1922*T1^12*T2^11 - 1726*T1^13*T2^11 + 
     1090*T1^14*T2^11 + 42*T1^15*T2^11 - 100*T1^16*T2^11 + 150*T1^5*T2^12 - 
     445*T1^6*T2^12 - 29*T1^7*T2^12 + 462*T1^8*T2^12 - 522*T1^9*T2^12 + 
     660*T1^10*T2^12 + 1922*T1^11*T2^12 - 1518*T1^12*T2^12 + 
     1071*T1^13*T2^12 - 385*T1^14*T2^12 - 294*T1^15*T2^12 + 124*T1^16*T2^12 - 
     25*T1^5*T2^13 - 30*T1^6*T2^13 + 434*T1^7*T2^13 - 545*T1^8*T2^13 + 
     246*T1^9*T2^13 + 314*T1^10*T2^13 - 1726*T1^11*T2^13 + 1071*T1^12*T2^13 - 
     485*T1^13*T2^13 - 61*T1^14*T2^13 + 330*T1^15*T2^13 - 100*T1^16*T2^13 + 
     30*T1^6*T2^14 - 72*T1^7*T2^14 - 138*T1^8*T2^14 + 509*T1^9*T2^14 - 
     865*T1^10*T2^14 + 1090*T1^11*T2^14 - 385*T1^12*T2^14 - 61*T1^13*T2^14 + 
     282*T1^14*T2^14 - 252*T1^15*T2^14 + 60*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 126*T1^9*T2^15 + 90*T1^10*T2^15 + 42*T1^11*T2^15 - 
     294*T1^12*T2^15 + 330*T1^13*T2^15 - 252*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 60*T1^10*T2^16 - 
     100*T1^11*T2^16 + 124*T1^12*T2^16 - 100*T1^13*T2^16 + 60*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 113] -> 
  {(1 - 6*T + 15*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 15*T^6 - 6*T^7 + T^8)/T^4, 
   (-2 + 12*T1 - 30*T1^2 + 42*T1^3 - 46*T1^4 + 42*T1^5 - 30*T1^6 + 12*T1^7 - 
     2*T1^8 + 12*T2 - 66*T1*T2 + 144*T1^2*T2 - 162*T1^3*T2 + 150*T1^4*T2 - 
     114*T1^5*T2 + 54*T1^6*T2 + 18*T1^7*T2 - 24*T1^8*T2 + 6*T1^9*T2 - 
     30*T2^2 + 144*T1*T2^2 - 236*T1^2*T2^2 + 99*T1^3*T2^2 + 47*T1^4*T2^2 - 
     176*T1^5*T2^2 + 287*T1^6*T2^2 - 351*T1^7*T2^2 + 184*T1^8*T2^2 - 
     36*T1^9*T2^2 + 42*T2^3 - 162*T1*T2^3 + 99*T1^2*T2^3 + 417*T1^3*T2^3 - 
     750*T1^4*T2^3 + 859*T1^5*T2^3 - 833*T1^6*T2^3 + 663*T1^7*T2^3 - 
     87*T1^8*T2^3 - 216*T1^9*T2^3 + 126*T1^10*T2^3 - 21*T1^11*T2^3 - 
     46*T2^4 + 150*T1*T2^4 + 47*T1^2*T2^4 - 750*T1^3*T2^4 + 856*T1^4*T2^4 - 
     480*T1^5*T2^4 + 178*T1^6*T2^4 + 156*T1^7*T2^4 - 900*T1^8*T2^4 + 
     846*T1^9*T2^4 - 85*T1^10*T2^4 - 150*T1^11*T2^4 + 46*T1^12*T2^4 + 
     42*T2^5 - 114*T1*T2^5 - 176*T1^2*T2^5 + 859*T1^3*T2^5 - 480*T1^4*T2^5 - 
     380*T1^5*T2^5 + 472*T1^6*T2^5 - 689*T1^7*T2^5 + 1264*T1^8*T2^5 - 
     402*T1^9*T2^5 - 941*T1^10*T2^5 + 418*T1^11*T2^5 + 102*T1^12*T2^5 - 
     63*T1^13*T2^5 - 30*T2^6 + 54*T1*T2^6 + 287*T1^2*T2^6 - 833*T1^3*T2^6 + 
     178*T1^4*T2^6 + 472*T1^5*T2^6 + 233*T1^6*T2^6 + 99*T1^7*T2^6 - 
     547*T1^8*T2^6 - 680*T1^9*T2^6 + 1324*T1^10*T2^6 + 697*T1^11*T2^6 - 
     697*T1^12*T2^6 + 18*T1^13*T2^6 + 60*T1^14*T2^6 + 12*T2^7 + 18*T1*T2^7 - 
     351*T1^2*T2^7 + 663*T1^3*T2^7 + 156*T1^4*T2^7 - 689*T1^5*T2^7 + 
     99*T1^6*T2^7 - 1634*T1^7*T2^7 + 1978*T1^8*T2^7 - 648*T1^9*T2^7 + 
     490*T1^10*T2^7 - 2154*T1^11*T2^7 - 18*T1^12*T2^7 + 774*T1^13*T2^7 - 
     180*T1^14*T2^7 - 30*T1^15*T2^7 - 2*T2^8 - 24*T1*T2^8 + 184*T1^2*T2^8 - 
     87*T1^3*T2^8 - 900*T1^4*T2^8 + 1264*T1^5*T2^8 - 547*T1^6*T2^8 + 
     1978*T1^7*T2^8 - 444*T1^8*T2^8 - 1490*T1^9*T2^8 + 1607*T1^10*T2^8 - 
     488*T1^11*T2^8 + 2956*T1^12*T2^8 - 1533*T1^13*T2^8 - 92*T1^14*T2^8 + 
     144*T1^15*T2^8 + 6*T1^16*T2^8 + 6*T1*T2^9 - 36*T1^2*T2^9 - 
     216*T1^3*T2^9 + 846*T1^4*T2^9 - 402*T1^5*T2^9 - 680*T1^6*T2^9 - 
     648*T1^7*T2^9 - 1490*T1^8*T2^9 + 2122*T1^9*T2^9 - 1395*T1^10*T2^9 + 
     499*T1^11*T2^9 - 2712*T1^12*T2^9 + 165*T1^13*T2^9 + 909*T1^14*T2^9 - 
     234*T1^15*T2^9 - 36*T1^16*T2^9 + 126*T1^3*T2^10 - 85*T1^4*T2^10 - 
     941*T1^5*T2^10 + 1324*T1^6*T2^10 + 490*T1^7*T2^10 + 1607*T1^8*T2^10 - 
     1395*T1^9*T2^10 + 827*T1^10*T2^10 - 662*T1^11*T2^10 + 2470*T1^12*T2^10 + 
     589*T1^13*T2^10 - 1069*T1^14*T2^10 + 90*T1^15*T2^10 + 90*T1^16*T2^10 - 
     21*T1^3*T2^11 - 150*T1^4*T2^11 + 418*T1^5*T2^11 + 697*T1^6*T2^11 - 
     2154*T1^7*T2^11 - 488*T1^8*T2^11 + 499*T1^9*T2^11 - 662*T1^10*T2^11 + 
     1156*T1^11*T2^11 - 2076*T1^12*T2^11 - 1103*T1^13*T2^11 + 
     1012*T1^14*T2^11 + 66*T1^15*T2^11 - 126*T1^16*T2^11 + 46*T1^4*T2^12 + 
     102*T1^5*T2^12 - 697*T1^6*T2^12 - 18*T1^7*T2^12 + 2956*T1^8*T2^12 - 
     2712*T1^9*T2^12 + 2470*T1^10*T2^12 - 2076*T1^11*T2^12 + 
     1200*T1^12*T2^12 + 1578*T1^13*T2^12 - 829*T1^14*T2^12 - 
     198*T1^15*T2^12 + 138*T1^16*T2^12 - 63*T1^5*T2^13 + 18*T1^6*T2^13 + 
     774*T1^7*T2^13 - 1533*T1^8*T2^13 + 165*T1^9*T2^13 + 589*T1^10*T2^13 - 
     1103*T1^11*T2^13 + 1578*T1^12*T2^13 - 2037*T1^13*T2^13 + 
     459*T1^14*T2^13 + 306*T1^15*T2^13 - 126*T1^16*T2^13 + 60*T1^6*T2^14 - 
     180*T1^7*T2^14 - 92*T1^8*T2^14 + 909*T1^9*T2^14 - 1069*T1^10*T2^14 + 
     1012*T1^11*T2^14 - 829*T1^12*T2^14 + 459*T1^13*T2^14 + 328*T1^14*T2^14 - 
     360*T1^15*T2^14 + 90*T1^16*T2^14 - 30*T1^7*T2^15 + 144*T1^8*T2^15 - 
     234*T1^9*T2^15 + 90*T1^10*T2^15 + 66*T1^11*T2^15 - 198*T1^12*T2^15 + 
     306*T1^13*T2^15 - 360*T1^14*T2^15 + 186*T1^15*T2^15 - 36*T1^16*T2^15 + 
     6*T1^8*T2^16 - 36*T1^9*T2^16 + 90*T1^10*T2^16 - 126*T1^11*T2^16 + 
     138*T1^12*T2^16 - 126*T1^13*T2^16 + 90*T1^14*T2^16 - 36*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 114] -> 
  {(3 - 15*T + 35*T^2 - 45*T^3 + 35*T^4 - 15*T^5 + 3*T^6)/T^3, 
   (-111 + 552*T1 - 1285*T1^2 + 1649*T1^3 - 1285*T1^4 + 552*T1^5 - 111*T1^6 + 
     552*T2 - 2331*T1*T2 + 4327*T1^2*T2 - 3391*T1^3*T2 + 209*T1^4*T2 + 
     2077*T1^5*T2 - 1521*T1^6*T2 + 417*T1^7*T2 - 1285*T2^2 + 4327*T1*T2^2 - 
     5257*T1^2*T2^2 - 1618*T1^3*T2^2 + 8361*T1^4*T2^2 - 7918*T1^5*T2^2 + 
     1463*T1^6*T2^2 + 1177*T1^7*T2^2 - 655*T1^8*T2^2 + 1649*T2^3 - 
     3391*T1*T2^3 - 1618*T1^2*T2^3 + 15682*T1^3*T2^3 - 17290*T1^4*T2^3 + 
     4460*T1^5*T2^3 + 8872*T1^6*T2^3 - 6343*T1^7*T2^3 + 1109*T1^8*T2^3 + 
     434*T1^9*T2^3 - 1285*T2^4 + 209*T1*T2^4 + 8361*T1^2*T2^4 - 
     17290*T1^3*T2^4 + 339*T1^4*T2^4 + 22581*T1^5*T2^4 - 26721*T1^6*T2^4 + 
     7010*T1^7*T2^4 + 2811*T1^8*T2^4 - 2041*T1^9*T2^4 - 25*T1^10*T2^4 + 
     552*T2^5 + 2077*T1*T2^5 - 7918*T1^2*T2^5 + 4460*T1^3*T2^5 + 
     22581*T1^4*T2^5 - 34519*T1^5*T2^5 + 16781*T1^6*T2^5 + 11556*T1^7*T2^5 - 
     12190*T1^8*T2^5 + 3107*T1^9*T2^5 + 727*T1^10*T2^5 - 123*T1^11*T2^5 - 
     111*T2^6 - 1521*T1*T2^6 + 1463*T1^2*T2^6 + 8872*T1^3*T2^6 - 
     26721*T1^4*T2^6 + 16781*T1^5*T2^6 + 12420*T1^6*T2^6 - 28729*T1^7*T2^6 + 
     13069*T1^8*T2^6 + 1192*T1^9*T2^6 - 2797*T1^10*T2^6 + 369*T1^11*T2^6 + 
     51*T1^12*T2^6 + 417*T1*T2^7 + 1177*T1^2*T2^7 - 6343*T1^3*T2^7 + 
     7010*T1^4*T2^7 + 11556*T1^5*T2^7 - 28729*T1^6*T2^7 + 22571*T1^7*T2^7 + 
     531*T1^8*T2^7 - 9640*T1^9*T2^7 + 4682*T1^10*T2^7 - 173*T1^11*T2^7 - 
     258*T1^12*T2^7 - 655*T1^2*T2^8 + 1109*T1^3*T2^8 + 2811*T1^4*T2^8 - 
     12190*T1^5*T2^8 + 13069*T1^6*T2^8 + 531*T1^7*T2^8 - 13991*T1^8*T2^8 + 
     12110*T1^9*T2^8 - 2739*T1^10*T2^8 - 1141*T1^11*T2^8 + 605*T1^12*T2^8 + 
     434*T1^3*T2^9 - 2041*T1^4*T2^9 + 3107*T1^5*T2^9 + 1192*T1^6*T2^9 - 
     9640*T1^7*T2^9 + 12110*T1^8*T2^9 - 5618*T1^9*T2^9 - 1618*T1^10*T2^9 + 
     2459*T1^11*T2^9 - 781*T1^12*T2^9 - 25*T1^4*T2^10 + 727*T1^5*T2^10 - 
     2797*T1^6*T2^10 + 4682*T1^7*T2^10 - 2739*T1^8*T2^10 - 1618*T1^9*T2^10 + 
     3923*T1^10*T2^10 - 2423*T1^11*T2^10 + 605*T1^12*T2^10 - 123*T1^5*T2^11 + 
     369*T1^6*T2^11 - 173*T1^7*T2^11 - 1141*T1^8*T2^11 + 2459*T1^9*T2^11 - 
     2423*T1^10*T2^11 + 1179*T1^11*T2^11 - 258*T1^12*T2^11 + 51*T1^6*T2^12 - 
     258*T1^7*T2^12 + 605*T1^8*T2^12 - 781*T1^9*T2^12 + 605*T1^10*T2^12 - 
     258*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 115] -> 
  {-(((-3 + 4*T - 3*T^2 + T^3)*(-1 + 3*T - 4*T^2 + 3*T^3))/T^3), 
   -((-84 + 365*T1 - 762*T1^2 + 992*T1^3 - 762*T1^4 + 365*T1^5 - 84*T1^6 + 
      365*T2 - 1339*T1*T2 + 2233*T1^2*T2 - 2052*T1^3*T2 + 366*T1^4*T2 + 
      673*T1^5*T2 - 715*T1^6*T2 + 248*T1^7*T2 - 762*T2^2 + 2233*T1*T2^2 - 
      2505*T1^2*T2^2 + 454*T1^3*T2^2 + 3239*T1^4*T2^2 - 3110*T1^5*T2^2 + 
      1383*T1^6*T2^2 + 127*T1^7*T2^2 - 276*T1^8*T2^2 + 992*T2^3 - 
      2052*T1*T2^3 + 454*T1^2*T2^3 + 3332*T1^3*T2^3 - 6757*T1^4*T2^3 + 
      2405*T1^5*T2^3 + 1262*T1^6*T2^3 - 2435*T1^7*T2^3 + 990*T1^8*T2^3 + 
      47*T1^9*T2^3 - 762*T2^4 + 366*T1*T2^4 + 3239*T1^2*T2^4 - 
      6757*T1^3*T2^4 + 6580*T1^4*T2^4 + 2722*T1^5*T2^4 - 5664*T1^6*T2^4 + 
      3743*T1^7*T2^4 + 157*T1^8*T2^4 - 1116*T1^9*T2^4 + 210*T1^10*T2^4 + 
      365*T2^5 + 673*T1*T2^5 - 3110*T1^2*T2^5 + 2405*T1^3*T2^5 + 
      2722*T1^4*T2^5 - 11697*T1^5*T2^5 + 7893*T1^6*T2^5 - 329*T1^7*T2^5 - 
      4081*T1^8*T2^5 + 2479*T1^9*T2^5 + 49*T1^10*T2^5 - 220*T1^11*T2^5 - 
      84*T2^6 - 715*T1*T2^6 + 1383*T1^2*T2^6 + 1262*T1^3*T2^6 - 
      5664*T1^4*T2^6 + 7893*T1^5*T2^6 + 1464*T1^6*T2^6 - 8661*T1^7*T2^6 + 
      7126*T1^8*T2^6 - 1330*T1^9*T2^6 - 1573*T1^10*T2^6 + 611*T1^11*T2^6 + 
      78*T1^12*T2^6 + 248*T1*T2^7 + 127*T1^2*T2^7 - 2435*T1^3*T2^7 + 
      3743*T1^4*T2^7 - 329*T1^5*T2^7 - 8661*T1^6*T2^7 + 10929*T1^7*T2^7 - 
      3380*T1^8*T2^7 - 2743*T1^9*T2^7 + 3154*T1^10*T2^7 - 497*T1^11*T2^7 - 
      337*T1^12*T2^7 - 276*T1^2*T2^8 + 990*T1^3*T2^8 + 157*T1^4*T2^8 - 
      4081*T1^5*T2^8 + 7126*T1^6*T2^8 - 3380*T1^7*T2^8 - 5118*T1^8*T2^8 + 
      6419*T1^9*T2^8 - 2925*T1^10*T2^8 - 492*T1^11*T2^8 + 696*T1^12*T2^8 + 
      47*T1^3*T2^9 - 1116*T1^4*T2^9 + 2479*T1^5*T2^9 - 1330*T1^6*T2^9 - 
      2743*T1^7*T2^9 + 6419*T1^8*T2^9 - 3400*T1^9*T2^9 - 410*T1^10*T2^9 + 
      1926*T1^11*T2^9 - 898*T1^12*T2^9 + 210*T1^4*T2^10 + 49*T1^5*T2^10 - 
      1573*T1^6*T2^10 + 3154*T1^7*T2^10 - 2925*T1^8*T2^10 - 410*T1^9*T2^10 + 
      2315*T1^10*T2^10 - 2057*T1^11*T2^10 + 696*T1^12*T2^10 - 
      220*T1^5*T2^11 + 611*T1^6*T2^11 - 497*T1^7*T2^11 - 492*T1^8*T2^11 + 
      1926*T1^9*T2^11 - 2057*T1^10*T2^11 + 1235*T1^11*T2^11 - 
      337*T1^12*T2^11 + 78*T1^6*T2^12 - 337*T1^7*T2^12 + 696*T1^8*T2^12 - 
      898*T1^9*T2^12 + 696*T1^10*T2^12 - 337*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 116] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 687*T1 - 1412*T1^2 + 1774*T1^3 - 1412*T1^4 + 687*T1^5 - 
      138*T1^6 + 687*T2 - 2871*T1*T2 + 4295*T1^2*T2 - 3203*T1^3*T2 - 
      53*T1^4*T2 + 2225*T1^5*T2 - 2061*T1^6*T2 + 552*T1^7*T2 - 1412*T2^2 + 
      4295*T1*T2^2 - 1692*T1^2*T2^2 - 5663*T1^3*T2^2 + 12134*T1^4*T2^2 - 
      10127*T1^5*T2^2 + 3516*T1^6*T2^2 + 1505*T1^7*T2^2 - 854*T1^8*T2^2 + 
      1774*T2^3 - 3203*T1*T2^3 - 5663*T1^2*T2^3 + 14770*T1^3*T2^3 - 
      14749*T1^4*T2^3 + 1655*T1^5*T2^3 + 8122*T1^6*T2^3 - 8174*T1^7*T2^3 + 
      667*T1^8*T2^3 + 721*T1^9*T2^3 - 1412*T2^4 - 53*T1*T2^4 + 
      12134*T1^2*T2^4 - 14749*T1^3*T2^4 + 4138*T1^4*T2^4 + 12962*T1^5*T2^4 - 
      13526*T1^6*T2^4 + 3503*T1^7*T2^4 + 6116*T1^8*T2^4 - 2123*T1^9*T2^4 - 
      296*T1^10*T2^4 + 687*T2^5 + 2225*T1*T2^5 - 10127*T1^2*T2^5 + 
      1655*T1^3*T2^5 + 12962*T1^4*T2^5 - 19697*T1^5*T2^5 + 4813*T1^6*T2^5 + 
      8963*T1^7*T2^5 - 11053*T1^8*T2^5 + 196*T1^9*T2^5 + 1415*T1^10*T2^5 + 
      12*T1^11*T2^5 - 138*T2^6 - 2061*T1*T2^6 + 3516*T1^2*T2^6 + 
      8122*T1^3*T2^6 - 13526*T1^4*T2^6 + 4813*T1^5*T2^6 + 13920*T1^6*T2^6 - 
      16925*T1^7*T2^6 + 6864*T1^8*T2^6 + 5086*T1^9*T2^6 - 2544*T1^10*T2^6 - 
      171*T1^11*T2^6 + 24*T1^12*T2^6 + 552*T1*T2^7 + 1505*T1^2*T2^7 - 
      8174*T1^3*T2^7 + 3503*T1^4*T2^7 + 8963*T1^5*T2^7 - 16925*T1^6*T2^7 + 
      7585*T1^7*T2^7 + 4964*T1^8*T2^7 - 9205*T1^9*T2^7 + 2149*T1^10*T2^7 + 
      695*T1^11*T2^7 - 123*T1^12*T2^7 - 854*T1^2*T2^8 + 667*T1^3*T2^8 + 
      6116*T1^4*T2^8 - 11053*T1^5*T2^8 + 6864*T1^6*T2^8 + 4964*T1^7*T2^8 - 
      10800*T1^8*T2^8 + 7199*T1^9*T2^8 + 98*T1^10*T2^8 - 1403*T1^11*T2^8 + 
      262*T1^12*T2^8 + 721*T1^3*T2^9 - 2123*T1^4*T2^9 + 196*T1^5*T2^9 + 
      5086*T1^6*T2^9 - 9205*T1^7*T2^9 + 7199*T1^8*T2^9 - 1562*T1^9*T2^9 - 
      2315*T1^10*T2^9 + 1747*T1^11*T2^9 - 332*T1^12*T2^9 - 296*T1^4*T2^10 + 
      1415*T1^5*T2^10 - 2544*T1^6*T2^10 + 2149*T1^7*T2^10 + 98*T1^8*T2^10 - 
      2315*T1^9*T2^10 + 2664*T1^10*T2^10 - 1375*T1^11*T2^10 + 
      262*T1^12*T2^10 + 12*T1^5*T2^11 - 171*T1^6*T2^11 + 695*T1^7*T2^11 - 
      1403*T1^8*T2^11 + 1747*T1^9*T2^11 - 1375*T1^10*T2^11 + 
      639*T1^11*T2^11 - 123*T1^12*T2^11 + 24*T1^6*T2^12 - 123*T1^7*T2^12 + 
      262*T1^8*T2^12 - 332*T1^9*T2^12 + 262*T1^10*T2^12 - 123*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 117] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((-41 + 245*T1 - 549*T1^2 + 711*T1^3 - 549*T1^4 + 245*T1^5 - 41*T1^6 + 
      245*T2 - 1268*T1*T2 + 2108*T1^2*T2 - 1618*T1^3*T2 - 130*T1^4*T2 + 
      1172*T1^5*T2 - 932*T1^6*T2 + 197*T1^7*T2 - 549*T2^2 + 2108*T1*T2^2 - 
      712*T1^2*T2^2 - 4122*T1^3*T2^2 + 8448*T1^4*T2^2 - 6606*T1^5*T2^2 + 
      1988*T1^6*T2^2 + 812*T1^7*T2^2 - 333*T1^8*T2^2 + 711*T2^3 - 
      1618*T1*T2^3 - 4122*T1^2*T2^3 + 11272*T1^3*T2^3 - 11292*T1^4*T2^3 + 
      606*T1^5*T2^3 + 6406*T1^6*T2^3 - 5256*T1^7*T2^3 + 254*T1^8*T2^3 + 
      291*T1^9*T2^3 - 549*T2^4 - 130*T1*T2^4 + 8448*T1^2*T2^4 - 
      11292*T1^3*T2^4 + 2314*T1^4*T2^4 + 12472*T1^5*T2^4 - 11606*T1^6*T2^4 + 
      2148*T1^7*T2^4 + 4200*T1^8*T2^4 - 1042*T1^9*T2^4 - 117*T1^10*T2^4 + 
      245*T2^5 + 1172*T1*T2^5 - 6606*T1^2*T2^5 + 606*T1^3*T2^5 + 
      12472*T1^4*T2^5 - 18501*T1^5*T2^5 + 3861*T1^6*T2^5 + 8341*T1^7*T2^5 - 
      8208*T1^8*T2^5 - 72*T1^9*T2^5 + 668*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 932*T1*T2^6 + 1988*T1^2*T2^6 + 6406*T1^3*T2^6 - 
      11606*T1^4*T2^6 + 3861*T1^5*T2^6 + 13728*T1^6*T2^6 - 15561*T1^7*T2^6 + 
      5332*T1^8*T2^6 + 3622*T1^9*T2^6 - 1360*T1^10*T2^6 - 68*T1^11*T2^6 + 
      7*T1^12*T2^6 + 197*T1*T2^7 + 812*T1^2*T2^7 - 5256*T1^3*T2^7 + 
      2148*T1^4*T2^7 + 8341*T1^5*T2^7 - 15561*T1^6*T2^7 + 6801*T1^7*T2^7 + 
      4210*T1^8*T2^7 - 6666*T1^9*T2^7 + 1278*T1^10*T2^7 + 308*T1^11*T2^7 - 
      43*T1^12*T2^7 - 333*T1^2*T2^8 + 254*T1^3*T2^8 + 4200*T1^4*T2^8 - 
      8208*T1^5*T2^8 + 5332*T1^6*T2^8 + 4210*T1^7*T2^8 - 8588*T1^8*T2^8 + 
      5232*T1^9*T2^8 - 48*T1^10*T2^8 - 658*T1^11*T2^8 + 99*T1^12*T2^8 + 
      291*T1^3*T2^9 - 1042*T1^4*T2^9 - 72*T1^5*T2^9 + 3622*T1^6*T2^9 - 
      6666*T1^7*T2^9 + 5232*T1^8*T2^9 - 1244*T1^9*T2^9 - 1206*T1^10*T2^9 + 
      830*T1^11*T2^9 - 129*T1^12*T2^9 - 117*T1^4*T2^10 + 668*T1^5*T2^10 - 
      1360*T1^6*T2^10 + 1278*T1^7*T2^10 - 48*T1^8*T2^10 - 1206*T1^9*T2^10 + 
      1340*T1^10*T2^10 - 628*T1^11*T2^10 + 99*T1^12*T2^10 + 5*T1^5*T2^11 - 
      68*T1^6*T2^11 + 308*T1^7*T2^11 - 658*T1^8*T2^11 + 830*T1^9*T2^11 - 
      628*T1^10*T2^11 + 268*T1^11*T2^11 - 43*T1^12*T2^11 + 7*T1^6*T2^12 - 
      43*T1^7*T2^12 + 99*T1^8*T2^12 - 129*T1^9*T2^12 + 99*T1^10*T2^12 - 
      43*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 118] -> 
  {(2 - 10*T + 20*T^2 - 23*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 330*T1^2 + 379*T1^3 - 330*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1025*T1^2*T2 - 645*T1^3*T2 + 215*T1^4*T2 + 
     425*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 330*T2^2 + 1025*T1*T2^2 - 
     345*T1^2*T2^2 - 1623*T1^3*T2^2 + 2213*T1^4*T2^2 - 2663*T1^5*T2^2 + 
     1095*T1^6*T2^2 + 225*T1^7*T2^2 - 170*T1^8*T2^2 + 379*T2^3 - 
     645*T1*T2^3 - 1623*T1^2*T2^3 + 4094*T1^3*T2^3 - 2700*T1^4*T2^3 + 
     1760*T1^5*T2^3 + 1544*T1^6*T2^3 - 1983*T1^7*T2^3 + 335*T1^8*T2^3 + 
     103*T1^9*T2^3 - 330*T2^4 + 215*T1*T2^4 + 2213*T1^2*T2^4 - 
     2700*T1^3*T2^4 - 1454*T1^4*T2^4 + 2556*T1^5*T2^4 - 4554*T1^6*T2^4 + 
     1900*T1^7*T2^4 + 813*T1^8*T2^4 - 465*T1^9*T2^4 - 10*T1^10*T2^4 + 
     165*T2^5 + 425*T1*T2^5 - 2663*T1^2*T2^5 + 1760*T1^3*T2^5 + 
     2556*T1^4*T2^5 - 1690*T1^5*T2^5 + 1290*T1^6*T2^5 + 1756*T1^7*T2^5 - 
     2420*T1^8*T2^5 + 417*T1^9*T2^5 + 225*T1^10*T2^5 - 35*T1^11*T2^5 - 
     33*T2^6 - 460*T1*T2^6 + 1095*T1^2*T2^6 + 1544*T1^3*T2^6 - 
     4554*T1^4*T2^6 + 1290*T1^5*T2^6 + 684*T1^6*T2^6 - 2150*T1^7*T2^6 + 
     1126*T1^8*T2^6 + 992*T1^9*T2^6 - 825*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 225*T1^2*T2^7 - 1983*T1^3*T2^7 + 
     1900*T1^4*T2^7 + 1756*T1^5*T2^7 - 2150*T1^6*T2^7 + 830*T1^7*T2^7 + 
     956*T1^8*T2^7 - 2280*T1^9*T2^7 + 1097*T1^10*T2^7 + 25*T1^11*T2^7 - 
     75*T1^12*T2^7 - 170*T1^2*T2^8 + 335*T1^3*T2^8 + 813*T1^4*T2^8 - 
     2420*T1^5*T2^8 + 1126*T1^6*T2^8 + 956*T1^7*T2^8 - 1974*T1^8*T2^8 + 
     2180*T1^9*T2^8 - 587*T1^10*T2^8 - 345*T1^11*T2^8 + 150*T1^12*T2^8 + 
     103*T1^3*T2^9 - 465*T1^4*T2^9 + 417*T1^5*T2^9 + 992*T1^6*T2^9 - 
     2280*T1^7*T2^9 + 2180*T1^8*T2^9 - 1558*T1^9*T2^9 + 57*T1^10*T2^9 + 
     515*T1^11*T2^9 - 173*T1^12*T2^9 - 10*T1^4*T2^10 + 225*T1^5*T2^10 - 
     825*T1^6*T2^10 + 1097*T1^7*T2^10 - 587*T1^8*T2^10 + 57*T1^9*T2^10 + 
     615*T1^10*T2^10 - 575*T1^11*T2^10 + 150*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 + 25*T1^7*T2^11 - 345*T1^8*T2^11 + 515*T1^9*T2^11 - 
     575*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 150*T1^8*T2^12 - 173*T1^9*T2^12 + 150*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 119] -> {(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4)/T^2, 
   (-144 + 688*T1 - 1128*T1^2 + 688*T1^3 - 144*T1^4 + 688*T2 - 2904*T1*T2 + 
     3548*T1^2*T2 - 252*T1^3*T2 - 1156*T1^4*T2 + 384*T1^5*T2 - 1128*T2^2 + 
     3548*T1*T2^2 - 150*T1^2*T2^2 - 8446*T1^3*T2^2 + 6546*T1^4*T2^2 - 
     1164*T1^5*T2^2 - 136*T1^6*T2^2 + 688*T2^3 - 252*T1*T2^3 - 
     8446*T1^2*T2^3 + 17019*T1^3*T2^3 - 7187*T1^4*T2^3 - 1967*T1^5*T2^3 + 
     1724*T1^6*T2^3 - 224*T1^7*T2^3 - 144*T2^4 - 1156*T1*T2^4 + 
     6546*T1^2*T2^4 - 7187*T1^3*T2^4 - 5472*T1^4*T2^4 + 11091*T1^5*T2^4 - 
     5188*T1^6*T2^4 + 516*T1^7*T2^4 + 112*T1^8*T2^4 + 384*T1*T2^5 - 
     1164*T1^2*T2^5 - 1967*T1^3*T2^5 + 11091*T1^4*T2^5 - 13115*T1^5*T2^5 + 
     4512*T1^6*T2^5 + 812*T1^7*T2^5 - 528*T1^8*T2^5 - 136*T1^2*T2^6 + 
     1724*T1^3*T2^6 - 5188*T1^4*T2^6 + 4512*T1^5*T2^6 + 1508*T1^6*T2^6 - 
     2988*T1^7*T2^6 + 856*T1^8*T2^6 - 224*T1^3*T2^7 + 516*T1^4*T2^7 + 
     812*T1^5*T2^7 - 2988*T1^6*T2^7 + 2264*T1^7*T2^7 - 528*T1^8*T2^7 + 
     112*T1^4*T2^8 - 528*T1^5*T2^8 + 856*T1^6*T2^8 - 528*T1^7*T2^8 + 
     112*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 120] -> 
  {-((2 - 12*T + 25*T^2 - 31*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-7 + 43*T1 - 93*T1^2 + 117*T1^3 - 93*T1^4 + 43*T1^5 - 7*T1^6 + 43*T2 - 
      268*T1*T2 + 590*T1^2*T2 - 744*T1^3*T2 + 600*T1^4*T2 - 298*T1^5*T2 + 
      68*T1^6*T2 - 5*T1^7*T2 - 93*T2^2 + 590*T1*T2^2 - 1180*T1^2*T2^2 + 
      958*T1^3*T2^2 + 24*T1^4*T2^2 - 942*T1^5*T2^2 + 1120*T1^6*T2^2 - 
      610*T1^7*T2^2 + 107*T1^8*T2^2 + 117*T2^3 - 744*T1*T2^3 + 
      958*T1^2*T2^3 + 1430*T1^3*T2^3 - 4470*T1^4*T2^3 + 5448*T1^5*T2^3 - 
      3532*T1^6*T2^3 + 508*T1^7*T2^3 + 888*T1^8*T2^3 - 255*T1^9*T2^3 - 
      93*T2^4 + 600*T1*T2^4 + 24*T1^2*T2^4 - 4470*T1^3*T2^4 + 
      6163*T1^4*T2^4 - 2651*T1^5*T2^4 - 3373*T1^6*T2^4 + 6442*T1^7*T2^4 - 
      3904*T1^8*T2^4 - 312*T1^9*T2^4 + 307*T1^10*T2^4 + 43*T2^5 - 
      298*T1*T2^5 - 942*T1^2*T2^5 + 5448*T1^3*T2^5 - 2651*T1^4*T2^5 - 
      3957*T1^5*T2^5 + 7823*T1^6*T2^5 - 4626*T1^7*T2^5 - 2482*T1^8*T2^5 + 
      5308*T1^9*T2^5 - 658*T1^10*T2^5 - 197*T1^11*T2^5 - 7*T2^6 + 
      68*T1*T2^6 + 1120*T1^2*T2^6 - 3532*T1^3*T2^6 - 3373*T1^4*T2^6 + 
      7823*T1^5*T2^6 - 5040*T1^6*T2^6 - 2967*T1^7*T2^6 + 8121*T1^8*T2^6 - 
      4876*T1^9*T2^6 - 2692*T1^10*T2^6 + 932*T1^11*T2^6 + 41*T1^12*T2^6 - 
      5*T1*T2^7 - 610*T1^2*T2^7 + 508*T1^3*T2^7 + 6442*T1^4*T2^7 - 
      4626*T1^5*T2^7 - 2967*T1^6*T2^7 + 8813*T1^7*T2^7 - 6601*T1^8*T2^7 - 
      1488*T1^9*T2^7 + 6758*T1^10*T2^7 - 970*T1^11*T2^7 - 245*T1^12*T2^7 + 
      107*T1^2*T2^8 + 888*T1^3*T2^8 - 3904*T1^4*T2^8 - 2482*T1^5*T2^8 + 
      8121*T1^6*T2^8 - 6601*T1^7*T2^8 - 1415*T1^8*T2^8 + 8430*T1^9*T2^8 - 
      7832*T1^10*T2^8 - 24*T1^11*T2^8 + 507*T1^12*T2^8 - 255*T1^3*T2^9 - 
      312*T1^4*T2^9 + 5308*T1^5*T2^9 - 4876*T1^6*T2^9 - 1488*T1^7*T2^9 + 
      8430*T1^8*T2^9 - 9838*T1^9*T2^9 + 4858*T1^10*T2^9 + 1320*T1^11*T2^9 - 
      627*T1^12*T2^9 + 307*T1^4*T2^10 - 658*T1^5*T2^10 - 2692*T1^6*T2^10 + 
      6758*T1^7*T2^10 - 7832*T1^8*T2^10 + 4858*T1^9*T2^10 - 392*T1^10*T2^10 - 
      1858*T1^11*T2^10 + 507*T1^12*T2^10 - 197*T1^5*T2^11 + 932*T1^6*T2^11 - 
      970*T1^7*T2^11 - 24*T1^8*T2^11 + 1320*T1^9*T2^11 - 1858*T1^10*T2^11 + 
      1268*T1^11*T2^11 - 245*T1^12*T2^11 + 41*T1^6*T2^12 - 245*T1^7*T2^12 + 
      507*T1^8*T2^12 - 627*T1^9*T2^12 + 507*T1^10*T2^12 - 245*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 121] -> 
  {(1 - 9*T + 29*T^2 - 41*T^3 + 29*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 58*T1^2 + 82*T1^3 - 58*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 441*T1^2*T2 - 477*T1^3*T2 + 153*T1^4*T2 + 99*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 58*T2^2 + 441*T1*T2^2 - 942*T1^2*T2^2 - 
     34*T1^3*T2^2 + 1738*T1^4*T2^2 - 1890*T1^5*T2^2 + 682*T1^6*T2^2 - 
     81*T1^7*T2^2 + 82*T2^3 - 477*T1*T2^3 - 34*T1^2*T2^3 + 4462*T1^3*T2^3 - 
     8158*T1^4*T2^3 + 5438*T1^5*T2^3 - 290*T1^6*T2^3 - 991*T1^7*T2^3 + 
     369*T1^8*T2^3 - 41*T1^9*T2^3 - 58*T2^4 + 153*T1*T2^4 + 1738*T1^2*T2^4 - 
     8158*T1^3*T2^4 + 9128*T1^4*T2^4 + 2056*T1^5*T2^4 - 11240*T1^6*T2^4 + 
     7750*T1^7*T2^4 - 1540*T1^8*T2^4 - 153*T1^9*T2^4 + 58*T1^10*T2^4 + 
     18*T2^5 + 99*T1*T2^5 - 1890*T1^2*T2^5 + 5438*T1^3*T2^5 + 
     2056*T1^4*T2^5 - 23879*T1^5*T2^5 + 30047*T1^6*T2^5 - 11545*T1^7*T2^5 - 
     3534*T1^8*T2^5 + 2663*T1^9*T2^5 - 279*T1^10*T2^5 - 27*T1^11*T2^5 - 
     2*T2^6 - 63*T1*T2^6 + 682*T1^2*T2^6 - 290*T1^3*T2^6 - 11240*T1^4*T2^6 + 
     30047*T1^5*T2^6 - 17976*T1^6*T2^6 - 14759*T1^7*T2^6 + 22746*T1^8*T2^6 - 
     6278*T1^9*T2^6 - 378*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 
     9*T1*T2^7 - 81*T1^2*T2^7 - 991*T1^3*T2^7 + 7750*T1^4*T2^7 - 
     11545*T1^5*T2^7 - 14759*T1^6*T2^7 + 39167*T1^7*T2^7 - 25146*T1^8*T2^7 - 
     1222*T1^9*T2^7 + 3562*T1^10*T2^7 - 459*T1^11*T2^7 - 36*T1^12*T2^7 + 
     369*T1^3*T2^8 - 1540*T1^4*T2^8 - 3534*T1^5*T2^8 + 22746*T1^6*T2^8 - 
     25146*T1^7*T2^8 + 2378*T1^8*T2^8 + 12374*T1^9*T2^8 - 4818*T1^10*T2^8 + 
     63*T1^11*T2^8 + 116*T1^12*T2^8 - 41*T1^3*T2^9 - 153*T1^4*T2^9 + 
     2663*T1^5*T2^9 - 6278*T1^6*T2^9 - 1222*T1^7*T2^9 + 12374*T1^8*T2^9 - 
     11030*T1^9*T2^9 + 1706*T1^10*T2^9 + 693*T1^11*T2^9 - 164*T1^12*T2^9 + 
     58*T1^4*T2^10 - 279*T1^5*T2^10 - 378*T1^6*T2^10 + 3562*T1^7*T2^10 - 
     4818*T1^8*T2^10 + 1706*T1^9*T2^10 + 1246*T1^10*T2^10 - 801*T1^11*T2^10 + 
     116*T1^12*T2^10 - 27*T1^5*T2^11 + 207*T1^6*T2^11 - 459*T1^7*T2^11 + 
     63*T1^8*T2^11 + 693*T1^9*T2^11 - 801*T1^10*T2^11 + 297*T1^11*T2^11 - 
     36*T1^12*T2^11 + 4*T1^6*T2^12 - 36*T1^7*T2^12 + 116*T1^8*T2^12 - 
     164*T1^9*T2^12 + 116*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 122] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-15 + 90*T1 - 226*T1^2 + 295*T1^3 - 226*T1^4 + 90*T1^5 - 15*T1^6 + 
     90*T2 - 498*T1*T2 + 1104*T1^2*T2 - 1134*T1^3*T2 + 522*T1^4*T2 + 
     96*T1^5*T2 - 162*T1^6*T2 + 42*T1^7*T2 - 226*T2^2 + 1104*T1*T2^2 - 
     1892*T1^2*T2^2 + 601*T1^3*T2^2 + 1706*T1^4*T2^2 - 2639*T1^5*T2^2 + 
     1468*T1^6*T2^2 - 336*T1^7*T2^2 + 14*T1^8*T2^2 + 295*T2^3 - 
     1134*T1*T2^3 + 601*T1^2*T2^3 + 3992*T1^3*T2^3 - 8189*T1^4*T2^3 + 
     6823*T1^5*T2^3 - 1534*T1^6*T2^3 - 1379*T1^7*T2^3 + 954*T1^8*T2^3 - 
     173*T1^9*T2^3 - 226*T2^4 + 522*T1*T2^4 + 1706*T1^2*T2^4 - 
     8189*T1^3*T2^4 + 10095*T1^4*T2^4 - 1247*T1^5*T2^4 - 8457*T1^6*T2^4 + 
     8659*T1^7*T2^4 - 2326*T1^8*T2^4 - 486*T1^9*T2^4 + 254*T1^10*T2^4 + 
     90*T2^5 + 96*T1*T2^5 - 2639*T1^2*T2^5 + 6823*T1^3*T2^5 - 
     1247*T1^4*T2^5 - 15728*T1^5*T2^5 + 21322*T1^6*T2^5 - 9707*T1^7*T2^5 - 
     4517*T1^8*T2^5 + 4381*T1^9*T2^5 - 624*T1^10*T2^5 - 150*T1^11*T2^5 - 
     15*T2^6 - 162*T1*T2^6 + 1468*T1^2*T2^6 - 1534*T1^3*T2^6 - 
     8457*T1^4*T2^6 + 21322*T1^5*T2^6 - 10248*T1^6*T2^6 - 11438*T1^7*T2^6 + 
     20199*T1^8*T2^6 - 6790*T1^9*T2^6 - 1124*T1^10*T2^6 + 702*T1^11*T2^6 + 
     33*T1^12*T2^6 + 42*T1*T2^7 - 336*T1^2*T2^7 - 1379*T1^3*T2^7 + 
     8659*T1^4*T2^7 - 9707*T1^5*T2^7 - 11438*T1^6*T2^7 + 25612*T1^7*T2^7 - 
     18167*T1^8*T2^7 - 2681*T1^9*T2^7 + 5641*T1^10*T2^7 - 1056*T1^11*T2^7 - 
     198*T1^12*T2^7 + 14*T1^2*T2^8 + 954*T1^3*T2^8 - 2326*T1^4*T2^8 - 
     4517*T1^5*T2^8 + 20199*T1^6*T2^8 - 18167*T1^7*T2^8 + 1647*T1^8*T2^8 + 
     12331*T1^9*T2^8 - 6358*T1^10*T2^8 - 54*T1^11*T2^8 + 494*T1^12*T2^8 - 
     173*T1^3*T2^9 - 486*T1^4*T2^9 + 4381*T1^5*T2^9 - 6790*T1^6*T2^9 - 
     2681*T1^7*T2^9 + 12331*T1^8*T2^9 - 12316*T1^9*T2^9 + 2401*T1^10*T2^9 + 
     1602*T1^11*T2^9 - 641*T1^12*T2^9 + 254*T1^4*T2^10 - 624*T1^5*T2^10 - 
     1124*T1^6*T2^10 + 5641*T1^7*T2^10 - 6358*T1^8*T2^10 + 2401*T1^9*T2^10 + 
     2236*T1^10*T2^10 - 2064*T1^11*T2^10 + 494*T1^12*T2^10 - 150*T1^5*T2^11 + 
     702*T1^6*T2^11 - 1056*T1^7*T2^11 - 54*T1^8*T2^11 + 1602*T1^9*T2^11 - 
     2064*T1^10*T2^11 + 1038*T1^11*T2^11 - 198*T1^12*T2^11 + 33*T1^6*T2^12 - 
     198*T1^7*T2^12 + 494*T1^8*T2^12 - 641*T1^9*T2^12 + 494*T1^10*T2^12 - 
     198*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 123] -> {(9 - 29*T + 41*T^2 - 29*T^3 + 9*T^4)/T^2, 
   -((3186 - 10142*T1 + 14300*T1^2 - 10142*T1^3 + 3186*T1^4 - 10142*T2 + 
      24553*T1*T2 - 20850*T1^2*T2 - 2580*T1^3*T2 + 14635*T1^4*T2 - 
      7793*T1^5*T2 + 14300*T2^2 - 20850*T1*T2^2 - 7104*T1^2*T2^2 + 
      41800*T1^3*T2^2 - 30720*T1^4*T2^2 + 552*T1^5*T2^2 + 7658*T1^6*T2^2 - 
      10142*T2^3 - 2580*T1*T2^3 + 41800*T1^2*T2^3 - 51154*T1^3*T2^3 + 
      2322*T1^4*T2^3 + 28721*T1^5*T2^3 - 14586*T1^6*T2^3 - 3095*T1^7*T2^3 + 
      3186*T2^4 + 14635*T1*T2^4 - 30720*T1^2*T2^4 + 2322*T1^3*T2^4 + 
      47496*T1^4*T2^4 - 42106*T1^5*T2^4 + 4774*T1^6*T2^4 + 8893*T1^7*T2^4 + 
      270*T1^8*T2^4 - 7793*T1*T2^5 + 552*T1^2*T2^5 + 28721*T1^3*T2^5 - 
      42106*T1^4*T2^5 + 11370*T1^5*T2^5 + 15642*T1^6*T2^5 - 11454*T1^7*T2^5 - 
      746*T1^8*T2^5 + 7658*T1^2*T2^6 - 14586*T1^3*T2^6 + 4774*T1^4*T2^6 + 
      15642*T1^5*T2^6 - 18842*T1^6*T2^6 + 6816*T1^7*T2^6 + 1016*T1^8*T2^6 - 
      3095*T1^3*T2^7 + 8893*T1^4*T2^7 - 11454*T1^5*T2^7 + 6816*T1^6*T2^7 - 
      1025*T1^7*T2^7 - 746*T1^8*T2^7 + 270*T1^4*T2^8 - 746*T1^5*T2^8 + 
      1016*T1^6*T2^8 - 746*T1^7*T2^8 + 270*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 124] -> 
  {(5 - 18*T + 34*T^2 - 41*T^3 + 34*T^4 - 18*T^5 + 5*T^6)/T^3, 
   -((770 - 2735*T1 + 5128*T1^2 - 6164*T1^3 + 5128*T1^4 - 2735*T1^5 + 
      770*T1^6 - 2735*T2 + 7470*T1*T2 - 10200*T1^2*T2 + 6787*T1^3*T2 + 
      37*T1^4*T2 - 5520*T1^5*T2 + 5400*T1^6*T2 - 2285*T1^7*T2 + 5128*T2^2 - 
      10200*T1*T2^2 + 8739*T1^2*T2^2 + 1285*T1^3*T2^2 - 8869*T1^4*T2^2 + 
      9105*T1^5*T2^2 - 1121*T1^6*T2^2 - 4080*T1^7*T2^2 + 3428*T1^8*T2^2 - 
      6164*T2^3 + 6787*T1*T2^3 + 1285*T1^2*T2^3 - 13007*T1^3*T2^3 + 
      11664*T1^4*T2^3 - 2256*T1^5*T2^3 - 9473*T1^6*T2^3 + 8119*T1^7*T2^3 - 
      1223*T1^8*T2^3 - 3089*T1^9*T2^3 + 5128*T2^4 + 37*T1*T2^4 - 
      8869*T1^2*T2^4 + 11664*T1^3*T2^4 + 2681*T1^4*T2^4 - 13917*T1^5*T2^4 + 
      16909*T1^6*T2^4 - 3260*T1^7*T2^4 - 5421*T1^8*T2^4 + 4897*T1^9*T2^4 + 
      1728*T1^10*T2^4 - 2735*T2^5 - 5520*T1*T2^5 + 9105*T1^2*T2^5 - 
      2256*T1^3*T2^5 - 13917*T1^4*T2^5 + 14162*T1^5*T2^5 - 5266*T1^6*T2^5 - 
      10585*T1^7*T2^5 + 9656*T1^8*T2^5 - 1673*T1^9*T2^5 - 4440*T1^10*T2^5 - 
      485*T1^11*T2^5 + 770*T2^6 + 5400*T1*T2^6 - 1121*T1^2*T2^6 - 
      9473*T1^3*T2^6 + 16909*T1^4*T2^6 - 5266*T1^5*T2^6 - 6396*T1^6*T2^6 + 
      13026*T1^7*T2^6 - 2103*T1^8*T2^6 - 5771*T1^9*T2^6 + 5547*T1^10*T2^6 + 
      1620*T1^11*T2^6 + 20*T1^12*T2^6 - 2285*T1*T2^7 - 4080*T1^2*T2^7 + 
      8119*T1^3*T2^7 - 3260*T1^4*T2^7 - 10585*T1^5*T2^7 + 13026*T1^6*T2^7 - 
      6402*T1^7*T2^7 - 7253*T1^8*T2^7 + 8652*T1^9*T2^7 - 2659*T1^10*T2^7 - 
      3000*T1^11*T2^7 - 35*T1^12*T2^7 + 3428*T1^2*T2^8 - 1223*T1^3*T2^8 - 
      5421*T1^4*T2^8 + 9656*T1^5*T2^8 - 2103*T1^6*T2^8 - 7253*T1^7*T2^8 + 
      12125*T1^8*T2^8 - 5268*T1^9*T2^8 - 1973*T1^10*T2^8 + 3637*T1^11*T2^8 + 
      28*T1^12*T2^8 - 3089*T1^3*T2^9 + 4897*T1^4*T2^9 - 1673*T1^5*T2^9 - 
      5771*T1^6*T2^9 + 8652*T1^7*T2^9 - 5268*T1^8*T2^9 - 2237*T1^9*T2^9 + 
      5161*T1^10*T2^9 - 3113*T1^11*T2^9 - 14*T1^12*T2^9 + 1728*T1^4*T2^10 - 
      4440*T1^5*T2^10 + 5547*T1^6*T2^10 - 2659*T1^7*T2^10 - 1973*T1^8*T2^10 + 
      5161*T1^9*T2^10 - 4313*T1^10*T2^10 + 1680*T1^11*T2^10 + 
      28*T1^12*T2^10 - 485*T1^5*T2^11 + 1620*T1^6*T2^11 - 3000*T1^7*T2^11 + 
      3637*T1^8*T2^11 - 3113*T1^9*T2^11 + 1680*T1^10*T2^11 - 
      450*T1^11*T2^11 - 35*T1^12*T2^11 + 20*T1^6*T2^12 - 35*T1^7*T2^12 + 
      28*T1^8*T2^12 - 14*T1^9*T2^12 + 28*T1^10*T2^12 - 35*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 125] -> 
  {-((1 - 6*T + 19*T^2 - 38*T^3 + 47*T^4 - 38*T^5 + 19*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 95*T1^2 + 190*T1^3 - 235*T1^4 + 190*T1^5 - 
      95*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 426*T1^2*T2 - 
      684*T1^3*T2 + 498*T1^4*T2 - 12*T1^5*T2 - 342*T1^6*T2 + 276*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 95*T2^2 + 426*T1*T2^2 - 998*T1^2*T2^2 + 
      1213*T1^3*T2^2 - 61*T1^4*T2^2 - 1016*T1^5*T2^2 + 1003*T1^6*T2^2 - 
      3*T1^7*T2^2 - 314*T1^8*T2^2 + 198*T1^9*T2^2 - 57*T1^10*T2^2 + 
      190*T2^3 - 684*T1*T2^3 + 1213*T1^2*T2^3 - 506*T1^3*T2^3 - 
      2427*T1^4*T2^3 + 2710*T1^5*T2^3 - 482*T1^6*T2^3 - 1971*T1^7*T2^3 + 
      1090*T1^8*T2^3 - 155*T1^9*T2^3 - 114*T1^10*T2^3 + 76*T1^11*T2^3 - 
      235*T2^4 + 498*T1*T2^4 - 61*T1^2*T2^4 - 2427*T1^3*T2^4 + 
      5807*T1^4*T2^4 - 1050*T1^5*T2^4 - 4595*T1^6*T2^4 + 5702*T1^7*T2^4 - 
      137*T1^8*T2^4 - 1363*T1^9*T2^4 + 775*T1^10*T2^4 - 174*T1^11*T2^4 - 
      47*T1^12*T2^4 + 190*T2^5 - 12*T1*T2^5 - 1016*T1^2*T2^5 + 
      2710*T1^3*T2^5 - 1050*T1^4*T2^5 - 11182*T1^5*T2^5 + 13399*T1^6*T2^5 - 
      4499*T1^7*T2^5 - 7456*T1^8*T2^5 + 4964*T1^9*T2^5 - 1090*T1^10*T2^5 - 
      272*T1^11*T2^5 + 282*T1^12*T2^5 - 95*T2^6 - 342*T1*T2^6 + 
      1003*T1^2*T2^6 - 482*T1^3*T2^6 - 4595*T1^4*T2^6 + 13399*T1^5*T2^6 - 
      173*T1^6*T2^6 - 17749*T1^7*T2^6 + 22703*T1^8*T2^6 - 6133*T1^9*T2^6 - 
      1745*T1^10*T2^6 + 1798*T1^11*T2^6 - 517*T1^12*T2^6 - 114*T1^13*T2^6 + 
      19*T1^14*T2^6 + 30*T2^7 + 276*T1*T2^7 - 3*T1^2*T2^7 - 1971*T1^3*T2^7 + 
      5702*T1^4*T2^7 - 4499*T1^5*T2^7 - 17749*T1^6*T2^7 + 27750*T1^7*T2^7 - 
      14554*T1^8*T2^7 - 9313*T1^9*T2^7 + 10131*T1^10*T2^7 - 3264*T1^11*T2^7 + 
      5*T1^12*T2^7 + 453*T1^13*T2^7 - 42*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 314*T1^2*T2^8 + 1090*T1^3*T2^8 - 137*T1^4*T2^8 - 
      7456*T1^5*T2^8 + 22703*T1^6*T2^8 - 14554*T1^7*T2^8 - 9708*T1^8*T2^8 + 
      23942*T1^9*T2^8 - 11345*T1^10*T2^8 - 496*T1^11*T2^8 + 2139*T1^12*T2^8 - 
      886*T1^13*T2^8 - 14*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 198*T1^2*T2^9 - 155*T1^3*T2^9 - 1363*T1^4*T2^9 + 
      4964*T1^5*T2^9 - 6133*T1^6*T2^9 - 9313*T1^7*T2^9 + 23942*T1^8*T2^9 - 
      18362*T1^9*T2^9 - 877*T1^10*T2^9 + 8497*T1^11*T2^9 - 4002*T1^12*T2^9 + 
      613*T1^13*T2^9 + 301*T1^14*T2^9 - 120*T1^15*T2^9 - 18*T1^16*T2^9 - 
      57*T1^2*T2^10 - 114*T1^3*T2^10 + 775*T1^4*T2^10 - 1090*T1^5*T2^10 - 
      1745*T1^6*T2^10 + 10131*T1^7*T2^10 - 11345*T1^8*T2^10 - 
      877*T1^9*T2^10 + 11531*T1^10*T2^10 - 9401*T1^11*T2^10 + 
      1105*T1^12*T2^10 + 1190*T1^13*T2^10 - 745*T1^14*T2^10 + 
      114*T1^15*T2^10 + 57*T1^16*T2^10 + 76*T1^3*T2^11 - 174*T1^4*T2^11 - 
      272*T1^5*T2^11 + 1798*T1^6*T2^11 - 3264*T1^7*T2^11 - 496*T1^8*T2^11 + 
      8497*T1^9*T2^11 - 9401*T1^10*T2^11 + 3230*T1^11*T2^11 + 
      2750*T1^12*T2^11 - 2002*T1^13*T2^11 + 472*T1^14*T2^11 + 
      120*T1^15*T2^11 - 114*T1^16*T2^11 - 47*T1^4*T2^12 + 282*T1^5*T2^12 - 
      517*T1^6*T2^12 + 5*T1^7*T2^12 + 2139*T1^8*T2^12 - 4002*T1^9*T2^12 + 
      1105*T1^10*T2^12 + 2750*T1^11*T2^12 - 3805*T1^12*T2^12 + 
      1069*T1^13*T2^12 + 319*T1^14*T2^12 - 390*T1^15*T2^12 + 
      141*T1^16*T2^12 - 114*T1^6*T2^13 + 453*T1^7*T2^13 - 886*T1^8*T2^13 + 
      613*T1^9*T2^13 + 1190*T1^10*T2^13 - 2002*T1^11*T2^13 + 
      1069*T1^12*T2^13 + 710*T1^13*T2^13 - 915*T1^14*T2^13 + 
      456*T1^15*T2^13 - 114*T1^16*T2^13 + 19*T1^6*T2^14 - 42*T1^7*T2^14 - 
      14*T1^8*T2^14 + 301*T1^9*T2^14 - 745*T1^10*T2^14 + 472*T1^11*T2^14 + 
      319*T1^12*T2^14 - 915*T1^13*T2^14 + 670*T1^14*T2^14 - 270*T1^15*T2^14 + 
      57*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 120*T1^9*T2^15 + 
      114*T1^10*T2^15 + 120*T1^11*T2^15 - 390*T1^12*T2^15 + 456*T1^13*T2^15 - 
      270*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 57*T1^10*T2^16 - 114*T1^11*T2^16 + 141*T1^12*T2^16 - 
      114*T1^13*T2^16 + 57*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 126] -> 
  {(1 - 5*T + 16*T^2 - 31*T^3 + 39*T^4 - 31*T^5 + 16*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 64*T1^2 + 124*T1^3 - 156*T1^4 + 124*T1^5 - 64*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 245*T1^2*T2 - 380*T1^3*T2 + 
     315*T1^4*T2 - 35*T1^5*T2 - 145*T1^6*T2 + 140*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 64*T2^2 + 245*T1*T2^2 - 683*T1^2*T2^2 + 951*T1^3*T2^2 - 
     699*T1^4*T2^2 + 71*T1^5*T2^2 + 37*T1^6*T2^2 + 119*T1^7*T2^2 - 
     203*T1^8*T2^2 + 85*T1^9*T2^2 - 32*T1^10*T2^2 + 124*T2^3 - 380*T1*T2^3 + 
     951*T1^2*T2^3 - 791*T1^3*T2^3 - 163*T1^4*T2^3 + 1036*T1^5*T2^3 - 
     193*T1^6*T2^3 - 495*T1^7*T2^3 + 505*T1^8*T2^3 - 57*T1^9*T2^3 + 
     5*T1^10*T2^3 + 31*T1^11*T2^3 - 156*T2^4 + 315*T1*T2^4 - 699*T1^2*T2^4 - 
     163*T1^3*T2^4 + 818*T1^4*T2^4 + 177*T1^5*T2^4 - 3344*T1^6*T2^4 + 
     3251*T1^7*T2^4 - 1314*T1^8*T2^4 - 349*T1^9*T2^4 + 247*T1^10*T2^4 - 
     155*T1^11*T2^4 + 124*T2^5 - 35*T1*T2^5 + 71*T1^2*T2^5 + 1036*T1^3*T2^5 + 
     177*T1^4*T2^5 - 3886*T1^5*T2^5 + 7367*T1^6*T2^5 - 3113*T1^7*T2^5 - 
     1354*T1^8*T2^5 + 2436*T1^9*T2^5 - 543*T1^10*T2^5 + 20*T1^11*T2^5 + 
     155*T1^12*T2^5 - 31*T1^13*T2^5 - 64*T2^6 - 145*T1*T2^6 + 37*T1^2*T2^6 - 
     193*T1^3*T2^6 - 3344*T1^4*T2^6 + 7367*T1^5*T2^6 - 6489*T1^6*T2^6 - 
     3477*T1^7*T2^6 + 7535*T1^8*T2^6 - 4497*T1^9*T2^6 - 100*T1^10*T2^6 + 
     511*T1^11*T2^6 - 279*T1^12*T2^6 - 5*T1^13*T2^6 + 32*T1^14*T2^6 + 
     20*T2^7 + 140*T1*T2^7 + 119*T1^2*T2^7 - 495*T1^3*T2^7 + 3251*T1^4*T2^7 - 
     3113*T1^5*T2^7 - 3477*T1^6*T2^7 + 13138*T1^7*T2^7 - 9746*T1^8*T2^7 + 
     114*T1^9*T2^7 + 4599*T1^10*T2^7 - 2268*T1^11*T2^7 + 421*T1^12*T2^7 + 
     71*T1^13*T2^7 - 85*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     203*T1^2*T2^8 + 505*T1^3*T2^8 - 1314*T1^4*T2^8 - 1354*T1^5*T2^8 + 
     7535*T1^6*T2^8 - 9746*T1^7*T2^8 - 564*T1^8*T2^8 + 10046*T1^9*T2^8 - 
     8047*T1^10*T2^8 + 1334*T1^11*T2^8 + 1122*T1^12*T2^8 - 541*T1^13*T2^8 + 
     199*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     85*T1^2*T2^9 - 57*T1^3*T2^9 - 349*T1^4*T2^9 + 2436*T1^5*T2^9 - 
     4497*T1^6*T2^9 + 114*T1^7*T2^9 + 10046*T1^8*T2^9 - 12838*T1^9*T2^9 + 
     3705*T1^10*T2^9 + 3215*T1^11*T2^9 - 3083*T1^12*T2^9 + 567*T1^13*T2^9 - 
     105*T1^14*T2^9 - 140*T1^15*T2^9 - 20*T1^16*T2^9 - 32*T1^2*T2^10 + 
     5*T1^3*T2^10 + 247*T1^4*T2^10 - 543*T1^5*T2^10 - 100*T1^6*T2^10 + 
     4599*T1^7*T2^10 - 8047*T1^8*T2^10 + 3705*T1^9*T2^10 + 5977*T1^10*T2^10 - 
     7265*T1^11*T2^10 + 3144*T1^12*T2^10 + 161*T1^13*T2^10 - 69*T1^14*T2^10 + 
     145*T1^15*T2^10 + 64*T1^16*T2^10 + 31*T1^3*T2^11 - 155*T1^4*T2^11 + 
     20*T1^5*T2^11 + 511*T1^6*T2^11 - 2268*T1^7*T2^11 + 1334*T1^8*T2^11 + 
     3215*T1^9*T2^11 - 7265*T1^10*T2^11 + 3866*T1^11*T2^11 - 9*T1^12*T2^11 - 
     1068*T1^13*T2^11 - 31*T1^14*T2^11 + 35*T1^15*T2^11 - 124*T1^16*T2^11 + 
     155*T1^5*T2^12 - 279*T1^6*T2^12 + 421*T1^7*T2^12 + 1122*T1^8*T2^12 - 
     3083*T1^9*T2^12 + 3144*T1^10*T2^12 - 9*T1^11*T2^12 - 1010*T1^12*T2^12 + 
     235*T1^13*T2^12 + 667*T1^14*T2^12 - 315*T1^15*T2^12 + 156*T1^16*T2^12 - 
     31*T1^5*T2^13 - 5*T1^6*T2^13 + 71*T1^7*T2^13 - 541*T1^8*T2^13 + 
     567*T1^9*T2^13 + 161*T1^10*T2^13 - 1068*T1^11*T2^13 + 235*T1^12*T2^13 + 
     755*T1^13*T2^13 - 937*T1^14*T2^13 + 380*T1^15*T2^13 - 124*T1^16*T2^13 + 
     32*T1^6*T2^14 - 85*T1^7*T2^14 + 199*T1^8*T2^14 - 105*T1^9*T2^14 - 
     69*T1^10*T2^14 - 31*T1^11*T2^14 + 667*T1^12*T2^14 - 937*T1^13*T2^14 + 
     679*T1^14*T2^14 - 245*T1^15*T2^14 + 64*T1^16*T2^14 - 15*T1^7*T2^15 + 
     55*T1^8*T2^15 - 140*T1^9*T2^15 + 145*T1^10*T2^15 + 35*T1^11*T2^15 - 
     315*T1^12*T2^15 + 380*T1^13*T2^15 - 245*T1^14*T2^15 + 85*T1^15*T2^15 - 
     20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 64*T1^10*T2^16 - 
     124*T1^11*T2^16 + 156*T1^12*T2^16 - 124*T1^13*T2^16 + 64*T1^14*T2^16 - 
     20*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 127] -> 
  {(1 - 6*T + 17*T^2 - 28*T^3 + 33*T^4 - 28*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 102*T1^2 + 168*T1^3 - 198*T1^4 + 168*T1^5 - 102*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 432*T1^2*T2 - 498*T1^3*T2 + 
     348*T1^4*T2 - 18*T1^5*T2 - 228*T1^6*T2 + 294*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 102*T2^2 + 432*T1*T2^2 - 720*T1^2*T2^2 + 195*T1^3*T2^2 + 
     542*T1^4*T2^2 - 1210*T1^5*T2^2 + 1086*T1^6*T2^2 - 553*T1^7*T2^2 - 
     176*T1^8*T2^2 + 228*T1^9*T2^2 - 68*T1^10*T2^2 + 168*T2^3 - 498*T1*T2^3 + 
     195*T1^2*T2^3 + 1628*T1^3*T2^3 - 2363*T1^4*T2^3 + 2152*T1^5*T2^3 - 
     290*T1^6*T2^3 - 1049*T1^7*T2^3 + 1718*T1^8*T2^3 - 519*T1^9*T2^3 - 
     96*T1^10*T2^3 + 84*T1^11*T2^3 - 198*T2^4 + 348*T1*T2^4 + 542*T1^2*T2^4 - 
     2363*T1^3*T2^4 + 419*T1^4*T2^4 + 2034*T1^5*T2^4 - 5029*T1^6*T2^4 + 
     4506*T1^7*T2^4 - 2749*T1^8*T2^4 - 683*T1^9*T2^4 + 770*T1^10*T2^4 - 
     108*T1^11*T2^4 - 66*T1^12*T2^4 + 168*T2^5 - 18*T1*T2^5 - 
     1210*T1^2*T2^5 + 2152*T1^3*T2^5 + 2034*T1^4*T2^5 - 3812*T1^5*T2^5 + 
     4664*T1^6*T2^5 - 862*T1^7*T2^5 - 1498*T1^8*T2^5 + 3692*T1^9*T2^5 - 
     694*T1^10*T2^5 - 502*T1^11*T2^5 + 228*T1^12*T2^5 + 28*T1^13*T2^5 - 
     102*T2^6 - 228*T1*T2^6 + 1086*T1^2*T2^6 - 290*T1^3*T2^6 - 
     5029*T1^4*T2^6 + 4664*T1^5*T2^6 - 3404*T1^6*T2^6 - 1200*T1^7*T2^6 + 
     1396*T1^8*T2^6 - 1372*T1^9*T2^6 - 2527*T1^10*T2^6 + 1546*T1^11*T2^6 - 
     90*T1^12*T2^6 - 168*T1^13*T2^6 + 36*T2^7 + 294*T1*T2^7 - 553*T1^2*T2^7 - 
     1049*T1^3*T2^7 + 4506*T1^4*T2^7 - 862*T1^5*T2^7 - 1200*T1^6*T2^7 + 
     3368*T1^7*T2^7 - 172*T1^8*T2^7 - 1236*T1^9*T2^7 + 3644*T1^10*T2^7 - 
     408*T1^11*T2^7 - 899*T1^12*T2^7 + 365*T1^13*T2^7 + 36*T1^14*T2^7 - 
     6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 - 176*T1^2*T2^8 + 1718*T1^3*T2^8 - 
     2749*T1^4*T2^8 - 1498*T1^5*T2^8 + 1396*T1^6*T2^8 - 172*T1^7*T2^8 - 
     3420*T1^8*T2^8 + 2892*T1^9*T2^8 - 2020*T1^10*T2^8 - 1874*T1^11*T2^8 + 
     1711*T1^12*T2^8 - 202*T1^13*T2^8 - 180*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 + 30*T1*T2^9 + 228*T1^2*T2^9 - 519*T1^3*T2^9 - 
     683*T1^4*T2^9 + 3692*T1^5*T2^9 - 1372*T1^6*T2^9 - 1236*T1^7*T2^9 + 
     2892*T1^8*T2^9 - 648*T1^9*T2^9 - 1272*T1^10*T2^9 + 3134*T1^11*T2^9 - 
     1222*T1^12*T2^9 - 533*T1^13*T2^9 + 399*T1^14*T2^9 - 30*T1^15*T2^9 - 
     12*T1^16*T2^9 - 68*T1^2*T2^10 - 96*T1^3*T2^10 + 770*T1^4*T2^10 - 
     694*T1^5*T2^10 - 2527*T1^6*T2^10 + 3644*T1^7*T2^10 - 2020*T1^8*T2^10 - 
     1272*T1^9*T2^10 + 2780*T1^10*T2^10 - 2392*T1^11*T2^10 - 25*T1^12*T2^10 + 
     1142*T1^13*T2^10 - 406*T1^14*T2^10 - 36*T1^15*T2^10 + 34*T1^16*T2^10 + 
     84*T1^3*T2^11 - 108*T1^4*T2^11 - 502*T1^5*T2^11 + 1546*T1^6*T2^11 - 
     408*T1^7*T2^11 - 1874*T1^8*T2^11 + 3134*T1^9*T2^11 - 2392*T1^10*T2^11 + 
     440*T1^11*T2^11 + 1250*T1^12*T2^11 - 1300*T1^13*T2^11 + 
     206*T1^14*T2^11 + 138*T1^15*T2^11 - 56*T1^16*T2^11 - 66*T1^4*T2^12 + 
     228*T1^5*T2^12 - 90*T1^6*T2^12 - 899*T1^7*T2^12 + 1711*T1^8*T2^12 - 
     1222*T1^9*T2^12 - 25*T1^10*T2^12 + 1250*T1^11*T2^12 - 1457*T1^12*T2^12 + 
     781*T1^13*T2^12 + 138*T1^14*T2^12 - 228*T1^15*T2^12 + 66*T1^16*T2^12 + 
     28*T1^5*T2^13 - 168*T1^6*T2^13 + 365*T1^7*T2^13 - 202*T1^8*T2^13 - 
     533*T1^9*T2^13 + 1142*T1^10*T2^13 - 1300*T1^11*T2^13 + 781*T1^12*T2^13 - 
     112*T1^13*T2^13 - 349*T1^14*T2^13 + 234*T1^15*T2^13 - 56*T1^16*T2^13 + 
     36*T1^7*T2^14 - 180*T1^8*T2^14 + 399*T1^9*T2^14 - 406*T1^10*T2^14 + 
     206*T1^11*T2^14 + 138*T1^12*T2^14 - 349*T1^13*T2^14 + 364*T1^14*T2^14 - 
     168*T1^15*T2^14 + 34*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 
     30*T1^9*T2^15 - 36*T1^10*T2^15 + 138*T1^11*T2^15 - 228*T1^12*T2^15 + 
     234*T1^13*T2^15 - 168*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 
     2*T1^8*T2^16 - 12*T1^9*T2^16 + 34*T1^10*T2^16 - 56*T1^11*T2^16 + 
     66*T1^12*T2^16 - 56*T1^13*T2^16 + 34*T1^14*T2^16 - 12*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 128] -> 
  {-((1 - 9*T + 31*T^2 - 47*T^3 + 31*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 93*T1^2 + 141*T1^3 - 93*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      225*T1*T2 + 675*T1^2*T2 - 711*T1^3*T2 - 9*T1^4*T2 + 315*T1^5*T2 - 
      135*T1^6*T2 + 18*T1^7*T2 - 93*T2^2 + 675*T1*T2^2 - 1463*T1^2*T2^2 - 
      325*T1^3*T2^2 + 3685*T1^4*T2^2 - 2681*T1^5*T2^2 + 397*T1^6*T2^2 + 
      117*T1^7*T2^2 - 31*T1^8*T2^2 + 141*T2^3 - 711*T1*T2^3 - 325*T1^2*T2^3 + 
      7916*T1^3*T2^3 - 12982*T1^4*T2^3 + 3140*T1^5*T2^3 + 3524*T1^6*T2^3 - 
      1906*T1^7*T2^3 + 279*T1^8*T2^3 - 93*T2^4 - 9*T1*T2^4 + 3685*T1^2*T2^4 - 
      12982*T1^3*T2^4 + 7840*T1^4*T2^4 + 17542*T1^5*T2^4 - 20588*T1^6*T2^4 + 
      6570*T1^7*T2^4 - 85*T1^8*T2^4 - 279*T1^9*T2^4 + 31*T1^10*T2^4 + 
      27*T2^5 + 315*T1*T2^5 - 2681*T1^2*T2^5 + 3140*T1^3*T2^5 + 
      17542*T1^4*T2^5 - 46971*T1^5*T2^5 + 33645*T1^6*T2^5 - 1957*T1^7*T2^5 - 
      6122*T1^8*T2^5 + 2000*T1^9*T2^5 - 117*T1^10*T2^5 - 18*T1^11*T2^5 - 
      3*T2^6 - 135*T1*T2^6 + 397*T1^2*T2^6 + 3524*T1^3*T2^6 - 
      20588*T1^4*T2^6 + 33645*T1^5*T2^6 - 5580*T1^6*T2^6 - 29725*T1^7*T2^6 + 
      22030*T1^8*T2^6 - 4012*T1^9*T2^6 - 411*T1^10*T2^6 + 135*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 117*T1^2*T2^7 - 1906*T1^3*T2^7 + 
      6570*T1^4*T2^7 - 1957*T1^5*T2^7 - 29725*T1^6*T2^7 + 50891*T1^7*T2^7 - 
      21456*T1^8*T2^7 - 2692*T1^9*T2^7 + 2775*T1^10*T2^7 - 315*T1^11*T2^7 - 
      27*T1^12*T2^7 - 31*T1^2*T2^8 + 279*T1^3*T2^8 - 85*T1^4*T2^8 - 
      6122*T1^5*T2^8 + 22030*T1^6*T2^8 - 21456*T1^7*T2^8 - 6398*T1^8*T2^8 + 
      13430*T1^9*T2^8 - 3855*T1^10*T2^8 + 9*T1^11*T2^8 + 93*T1^12*T2^8 - 
      279*T1^4*T2^9 + 2000*T1^5*T2^9 - 4012*T1^6*T2^9 - 2692*T1^7*T2^9 + 
      13430*T1^8*T2^9 - 8404*T1^9*T2^9 + 419*T1^10*T2^9 + 711*T1^11*T2^9 - 
      141*T1^12*T2^9 + 31*T1^4*T2^10 - 117*T1^5*T2^10 - 411*T1^6*T2^10 + 
      2775*T1^7*T2^10 - 3855*T1^8*T2^10 + 419*T1^9*T2^10 + 1449*T1^10*T2^10 - 
      675*T1^11*T2^10 + 93*T1^12*T2^10 - 18*T1^5*T2^11 + 135*T1^6*T2^11 - 
      315*T1^7*T2^11 + 9*T1^8*T2^11 + 711*T1^9*T2^11 - 675*T1^10*T2^11 + 
      225*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      93*T1^8*T2^12 - 141*T1^9*T2^12 + 93*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 129] -> 
  {(1 - 6*T + 15*T^2 - 22*T^3 + 25*T^4 - 22*T^5 + 15*T^6 - 6*T^7 + T^8)/T^4, 
   (-2 + 12*T1 - 30*T1^2 + 44*T1^3 - 50*T1^4 + 44*T1^5 - 30*T1^6 + 12*T1^7 - 
     2*T1^8 + 12*T2 - 66*T1*T2 + 144*T1^2*T2 - 174*T1^3*T2 + 168*T1^4*T2 - 
     114*T1^5*T2 + 48*T1^6*T2 + 18*T1^7*T2 - 24*T1^8*T2 + 6*T1^9*T2 - 
     30*T2^2 + 144*T1*T2^2 - 236*T1^2*T2^2 + 130*T1^3*T2^2 + 19*T1^4*T2^2 - 
     212*T1^5*T2^2 + 319*T1^6*T2^2 - 350*T1^7*T2^2 + 184*T1^8*T2^2 - 
     36*T1^9*T2^2 + 44*T2^3 - 174*T1*T2^3 + 130*T1^2*T2^3 + 322*T1^3*T2^3 - 
     686*T1^4*T2^3 + 931*T1^5*T2^3 - 857*T1^6*T2^3 + 598*T1^7*T2^3 - 
     50*T1^8*T2^3 - 230*T1^9*T2^3 + 132*T1^10*T2^3 - 22*T1^11*T2^3 - 
     50*T2^4 + 168*T1*T2^4 + 19*T1^2*T2^4 - 686*T1^3*T2^4 + 894*T1^4*T2^4 - 
     719*T1^5*T2^4 + 222*T1^6*T2^4 + 321*T1^7*T2^4 - 930*T1^8*T2^4 + 
     810*T1^9*T2^4 - 65*T1^10*T2^4 - 168*T1^11*T2^4 + 50*T1^12*T2^4 + 
     44*T2^5 - 114*T1*T2^5 - 212*T1^2*T2^5 + 931*T1^3*T2^5 - 719*T1^4*T2^5 + 
     78*T1^5*T2^5 + 395*T1^6*T2^5 - 775*T1^7*T2^5 + 868*T1^8*T2^5 - 
     49*T1^9*T2^5 - 1089*T1^10*T2^5 + 508*T1^11*T2^5 + 96*T1^12*T2^5 - 
     66*T1^13*T2^5 - 30*T2^6 + 48*T1*T2^6 + 319*T1^2*T2^6 - 857*T1^3*T2^6 + 
     222*T1^4*T2^6 + 395*T1^5*T2^6 - 173*T1^6*T2^6 + 283*T1^7*T2^6 + 
     139*T1^8*T2^6 - 913*T1^9*T2^6 + 1356*T1^10*T2^6 + 583*T1^11*T2^6 - 
     749*T1^12*T2^6 + 36*T1^13*T2^6 + 60*T1^14*T2^6 + 12*T2^7 + 18*T1*T2^7 - 
     350*T1^2*T2^7 + 598*T1^3*T2^7 + 321*T1^4*T2^7 - 775*T1^5*T2^7 + 
     283*T1^6*T2^7 - 1040*T1^7*T2^7 + 584*T1^8*T2^7 - 337*T1^9*T2^7 + 
     119*T1^10*T2^7 - 1829*T1^11*T2^7 + 162*T1^12*T2^7 + 730*T1^13*T2^7 - 
     180*T1^14*T2^7 - 30*T1^15*T2^7 - 2*T2^8 - 24*T1*T2^8 + 184*T1^2*T2^8 - 
     50*T1^3*T2^8 - 930*T1^4*T2^8 + 868*T1^5*T2^8 + 139*T1^6*T2^8 + 
     584*T1^7*T2^8 + 924*T1^8*T2^8 - 1160*T1^9*T2^8 + 1619*T1^10*T2^8 - 
     156*T1^11*T2^8 + 2210*T1^12*T2^8 - 1418*T1^13*T2^8 - 92*T1^14*T2^8 + 
     144*T1^15*T2^8 + 6*T1^16*T2^8 + 6*T1*T2^9 - 36*T1^2*T2^9 - 
     230*T1^3*T2^9 + 810*T1^4*T2^9 - 49*T1^5*T2^9 - 913*T1^6*T2^9 - 
     337*T1^7*T2^9 - 1160*T1^8*T2^9 + 464*T1^9*T2^9 - 957*T1^10*T2^9 - 
     19*T1^11*T2^9 - 2199*T1^12*T2^9 + 374*T1^13*T2^9 + 850*T1^14*T2^9 - 
     234*T1^15*T2^9 - 36*T1^16*T2^9 + 132*T1^3*T2^10 - 65*T1^4*T2^10 - 
     1089*T1^5*T2^10 + 1356*T1^6*T2^10 + 119*T1^7*T2^10 + 1619*T1^8*T2^10 - 
     957*T1^9*T2^10 + 1931*T1^10*T2^10 - 1189*T1^11*T2^10 + 
     2490*T1^12*T2^10 + 351*T1^13*T2^10 - 1133*T1^14*T2^10 + 
     120*T1^15*T2^10 + 90*T1^16*T2^10 - 22*T1^3*T2^11 - 168*T1^4*T2^11 + 
     508*T1^5*T2^11 + 583*T1^6*T2^11 - 1829*T1^7*T2^11 - 156*T1^8*T2^11 - 
     19*T1^9*T2^11 - 1189*T1^10*T2^11 + 634*T1^11*T2^11 - 1159*T1^12*T2^11 - 
     1437*T1^13*T2^11 + 1228*T1^14*T2^11 + 42*T1^15*T2^11 - 132*T1^16*T2^11 + 
     50*T1^4*T2^12 + 96*T1^5*T2^12 - 749*T1^6*T2^12 + 162*T1^7*T2^12 + 
     2210*T1^8*T2^12 - 2199*T1^9*T2^12 + 2490*T1^10*T2^12 - 
     1159*T1^11*T2^12 + 386*T1^12*T2^12 + 1658*T1^13*T2^12 - 
     833*T1^14*T2^12 - 240*T1^15*T2^12 + 150*T1^16*T2^12 - 66*T1^5*T2^13 + 
     36*T1^6*T2^13 + 730*T1^7*T2^13 - 1418*T1^8*T2^13 + 374*T1^9*T2^13 + 
     351*T1^10*T2^13 - 1437*T1^11*T2^13 + 1658*T1^12*T2^13 - 
     1790*T1^13*T2^13 + 370*T1^14*T2^13 + 342*T1^15*T2^13 - 132*T1^16*T2^13 + 
     60*T1^6*T2^14 - 180*T1^7*T2^14 - 92*T1^8*T2^14 + 850*T1^9*T2^14 - 
     1133*T1^10*T2^14 + 1228*T1^11*T2^14 - 833*T1^12*T2^14 + 
     370*T1^13*T2^14 + 328*T1^14*T2^14 - 360*T1^15*T2^14 + 90*T1^16*T2^14 - 
     30*T1^7*T2^15 + 144*T1^8*T2^15 - 234*T1^9*T2^15 + 120*T1^10*T2^15 + 
     42*T1^11*T2^15 - 240*T1^12*T2^15 + 342*T1^13*T2^15 - 360*T1^14*T2^15 + 
     186*T1^15*T2^15 - 36*T1^16*T2^15 + 6*T1^8*T2^16 - 36*T1^9*T2^16 + 
     90*T1^10*T2^16 - 132*T1^11*T2^16 + 150*T1^12*T2^16 - 132*T1^13*T2^16 + 
     90*T1^14*T2^16 - 36*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 130] -> 
  {((1 - T + T^2)*(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4))/T^3, 
   (-15 + 90*T1 - 218*T1^2 + 279*T1^3 - 218*T1^4 + 90*T1^5 - 15*T1^6 + 
     90*T2 - 498*T1*T2 + 1056*T1^2*T2 - 1062*T1^3*T2 + 522*T1^4*T2 + 
     72*T1^5*T2 - 162*T1^6*T2 + 42*T1^7*T2 - 218*T2^2 + 1056*T1*T2^2 - 
     1648*T1^2*T2^2 + 323*T1^3*T2^2 + 1704*T1^4*T2^2 - 2577*T1^5*T2^2 + 
     1484*T1^6*T2^2 - 336*T1^7*T2^2 + 14*T1^8*T2^2 + 279*T2^3 - 
     1062*T1*T2^3 + 323*T1^2*T2^3 + 3994*T1^3*T2^3 - 7515*T1^4*T2^3 + 
     6351*T1^5*T2^3 - 1616*T1^6*T2^3 - 1243*T1^7*T2^3 + 906*T1^8*T2^3 - 
     165*T1^9*T2^3 - 218*T2^4 + 522*T1*T2^4 + 1704*T1^2*T2^4 - 
     7515*T1^3*T2^4 + 8682*T1^4*T2^4 - 1060*T1^5*T2^4 - 7254*T1^6*T2^4 + 
     7877*T1^7*T2^4 - 2224*T1^8*T2^4 - 486*T1^9*T2^4 + 246*T1^10*T2^4 + 
     90*T2^5 + 72*T1*T2^5 - 2577*T1^2*T2^5 + 6351*T1^3*T2^5 - 
     1060*T1^4*T2^5 - 12817*T1^5*T2^5 + 16877*T1^6*T2^5 - 7817*T1^7*T2^5 - 
     4463*T1^8*T2^5 + 4325*T1^9*T2^5 - 576*T1^10*T2^5 - 150*T1^11*T2^5 - 
     15*T2^6 - 162*T1*T2^6 + 1484*T1^2*T2^6 - 1616*T1^3*T2^6 - 
     7254*T1^4*T2^6 + 16877*T1^5*T2^6 - 6696*T1^6*T2^6 - 9909*T1^7*T2^6 + 
     17544*T1^8*T2^6 - 5984*T1^9*T2^6 - 1368*T1^10*T2^6 + 702*T1^11*T2^6 + 
     33*T1^12*T2^6 + 42*T1*T2^7 - 336*T1^2*T2^7 - 1243*T1^3*T2^7 + 
     7877*T1^4*T2^7 - 7817*T1^5*T2^7 - 9909*T1^6*T2^7 + 19785*T1^7*T2^7 - 
     14574*T1^8*T2^7 - 2937*T1^9*T2^7 + 5659*T1^10*T2^7 - 984*T1^11*T2^7 - 
     198*T1^12*T2^7 + 14*T1^2*T2^8 + 906*T1^3*T2^8 - 2224*T1^4*T2^8 - 
     4463*T1^5*T2^8 + 17544*T1^6*T2^8 - 14574*T1^7*T2^8 + 1608*T1^8*T2^8 + 
     10929*T1^9*T2^8 - 6152*T1^10*T2^8 - 102*T1^11*T2^8 + 478*T1^12*T2^8 - 
     165*T1^3*T2^9 - 486*T1^4*T2^9 + 4325*T1^5*T2^9 - 5984*T1^6*T2^9 - 
     2937*T1^7*T2^9 + 10929*T1^8*T2^9 - 11594*T1^9*T2^9 + 2759*T1^10*T2^9 + 
     1482*T1^11*T2^9 - 609*T1^12*T2^9 + 246*T1^4*T2^10 - 576*T1^5*T2^10 - 
     1368*T1^6*T2^10 + 5659*T1^7*T2^10 - 6152*T1^8*T2^10 + 2759*T1^9*T2^10 + 
     1764*T1^10*T2^10 - 1968*T1^11*T2^10 + 478*T1^12*T2^10 - 150*T1^5*T2^11 + 
     702*T1^6*T2^11 - 984*T1^7*T2^11 - 102*T1^8*T2^11 + 1482*T1^9*T2^11 - 
     1968*T1^10*T2^11 + 1038*T1^11*T2^11 - 198*T1^12*T2^11 + 33*T1^6*T2^12 - 
     198*T1^7*T2^12 + 478*T1^8*T2^12 - 609*T1^9*T2^12 + 478*T1^10*T2^12 - 
     198*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 131] -> 
  {-((1 - 6*T + 16*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 48*T1^2 + 81*T1^3 - 93*T1^4 + 81*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 294*T1^3*T2 + 
      234*T1^4*T2 - 114*T1^5*T2 - 36*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 244*T1^3*T2^2 + 
      189*T1^4*T2^2 - 487*T1^5*T2^2 + 669*T1^6*T2^2 - 428*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 81*T2^3 - 294*T1*T2^3 + 
      244*T1^2*T2^3 + 295*T1^3*T2^3 - 1101*T1^4*T2^3 + 1142*T1^5*T2^3 - 
      943*T1^6*T2^3 + 30*T1^7*T2^3 + 451*T1^8*T2^3 - 380*T1^9*T2^3 + 
      96*T1^10*T2^3 - 93*T2^4 + 234*T1*T2^4 + 189*T1^2*T2^4 - 
      1101*T1^3*T2^4 + 1727*T1^4*T2^4 - 795*T1^5*T2^4 - 55*T1^6*T2^4 + 
      1461*T1^7*T2^4 - 1357*T1^8*T2^4 + 411*T1^9*T2^4 + 229*T1^10*T2^4 - 
      186*T1^11*T2^4 + 31*T1^12*T2^4 + 81*T2^5 - 114*T1*T2^5 - 
      487*T1^2*T2^5 + 1142*T1^3*T2^5 - 795*T1^4*T2^5 - 1107*T1^5*T2^5 + 
      1752*T1^6*T2^5 - 2280*T1^7*T2^5 + 603*T1^8*T2^5 + 1140*T1^9*T2^5 - 
      1117*T1^10*T2^5 + 269*T1^11*T2^5 + 138*T1^12*T2^5 - 54*T1^13*T2^5 - 
      48*T2^6 - 36*T1*T2^6 + 669*T1^2*T2^6 - 943*T1^3*T2^6 - 55*T1^4*T2^6 + 
      1752*T1^5*T2^6 - 1339*T1^6*T2^6 + 707*T1^7*T2^6 + 1373*T1^8*T2^6 - 
      2232*T1^9*T2^6 + 305*T1^10*T2^6 + 881*T1^11*T2^6 - 691*T1^12*T2^6 + 
      36*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 428*T1^2*T2^7 + 
      30*T1^3*T2^7 + 1461*T1^4*T2^7 - 2280*T1^5*T2^7 + 707*T1^6*T2^7 + 
      915*T1^7*T2^7 - 2169*T1^8*T2^7 + 1514*T1^9*T2^7 + 1848*T1^10*T2^7 - 
      1758*T1^11*T2^7 + 423*T1^12*T2^7 + 484*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 451*T1^3*T2^8 - 
      1357*T1^4*T2^8 + 603*T1^5*T2^8 + 1373*T1^6*T2^8 - 2169*T1^7*T2^8 + 
      564*T1^8*T2^8 + 1389*T1^9*T2^8 - 4229*T1^10*T2^8 + 1305*T1^11*T2^8 + 
      695*T1^12*T2^8 - 995*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 380*T1^3*T2^9 + 
      411*T1^4*T2^9 + 1140*T1^5*T2^9 - 2232*T1^6*T2^9 + 1514*T1^7*T2^9 + 
      1389*T1^8*T2^9 - 1695*T1^9*T2^9 + 2321*T1^10*T2^9 + 1896*T1^11*T2^9 - 
      2079*T1^12*T2^9 + 804*T1^13*T2^9 + 532*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 229*T1^4*T2^10 - 
      1117*T1^5*T2^10 + 305*T1^6*T2^10 + 1848*T1^7*T2^10 - 4229*T1^8*T2^10 + 
      2321*T1^9*T2^10 - 1517*T1^10*T2^10 - 2136*T1^11*T2^10 + 
      665*T1^12*T2^10 + 707*T1^13*T2^10 - 1131*T1^14*T2^10 + 
      168*T1^15*T2^10 + 80*T1^16*T2^10 - 186*T1^4*T2^11 + 269*T1^5*T2^11 + 
      881*T1^6*T2^11 - 1758*T1^7*T2^11 + 1305*T1^8*T2^11 + 1896*T1^9*T2^11 - 
      2136*T1^10*T2^11 + 3015*T1^11*T2^11 + 177*T1^12*T2^11 - 
      1378*T1^13*T2^11 + 1025*T1^14*T2^11 + 66*T1^15*T2^11 - 
      135*T1^16*T2^11 + 31*T1^4*T2^12 + 138*T1^5*T2^12 - 691*T1^6*T2^12 + 
      423*T1^7*T2^12 + 695*T1^8*T2^12 - 2079*T1^9*T2^12 + 665*T1^10*T2^12 + 
      177*T1^11*T2^12 - 2389*T1^12*T2^12 + 1935*T1^13*T2^12 - 
      651*T1^14*T2^12 - 282*T1^15*T2^12 + 155*T1^16*T2^12 - 54*T1^5*T2^13 + 
      36*T1^6*T2^13 + 484*T1^7*T2^13 - 995*T1^8*T2^13 + 804*T1^9*T2^13 + 
      707*T1^10*T2^13 - 1378*T1^11*T2^13 + 1935*T1^12*T2^13 - 
      839*T1^13*T2^13 - 140*T1^14*T2^13 + 426*T1^15*T2^13 - 135*T1^16*T2^13 + 
      48*T1^6*T2^14 - 144*T1^7*T2^14 - 17*T1^8*T2^14 + 532*T1^9*T2^14 - 
      1131*T1^10*T2^14 + 1025*T1^11*T2^14 - 651*T1^12*T2^14 - 
      140*T1^13*T2^14 + 463*T1^14*T2^14 - 336*T1^15*T2^14 + 80*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 168*T1^10*T2^15 + 
      66*T1^11*T2^15 - 282*T1^12*T2^15 + 426*T1^13*T2^15 - 336*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      80*T1^10*T2^16 - 135*T1^11*T2^16 + 155*T1^12*T2^16 - 135*T1^13*T2^16 + 
      80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 132] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (-33 + 213*T1 - 522*T1^2 + 667*T1^3 - 522*T1^4 + 213*T1^5 - 33*T1^6 + 
     213*T2 - 1214*T1*T2 + 2333*T1^2*T2 - 1769*T1^3*T2 + 129*T1^4*T2 + 
     1163*T1^5*T2 - 824*T1^6*T2 + 161*T1^7*T2 - 522*T2^2 + 2333*T1*T2^2 - 
     1849*T1^2*T2^2 - 4084*T1^3*T2^2 + 8473*T1^4*T2^2 - 7668*T1^5*T2^2 + 
     1991*T1^6*T2^2 + 669*T1^7*T2^2 - 266*T1^8*T2^2 + 667*T2^3 - 
     1769*T1*T2^3 - 4084*T1^2*T2^3 + 15810*T1^3*T2^3 - 15075*T1^4*T2^3 + 
     4223*T1^5*T2^3 + 7668*T1^6*T2^3 - 5716*T1^7*T2^3 + 597*T1^8*T2^3 + 
     175*T1^9*T2^3 - 522*T2^4 + 129*T1*T2^4 + 8473*T1^2*T2^4 - 
     15075*T1^3*T2^4 - 1275*T1^4*T2^4 + 19351*T1^5*T2^4 - 23443*T1^6*T2^4 + 
     6409*T1^7*T2^4 + 2807*T1^8*T2^4 - 1067*T1^9*T2^4 - 10*T1^10*T2^4 + 
     213*T2^5 + 1163*T1*T2^5 - 7668*T1^2*T2^5 + 4223*T1^3*T2^5 + 
     19351*T1^4*T2^5 - 27696*T1^5*T2^5 + 13870*T1^6*T2^5 + 9815*T1^7*T2^5 - 
     10703*T1^8*T2^5 + 1772*T1^9*T2^5 + 357*T1^10*T2^5 - 47*T1^11*T2^5 - 
     33*T2^6 - 824*T1*T2^6 + 1991*T1^2*T2^6 + 7668*T1^3*T2^6 - 
     23443*T1^4*T2^6 + 13870*T1^5*T2^6 + 9996*T1^6*T2^6 - 23506*T1^7*T2^6 + 
     11049*T1^8*T2^6 + 1692*T1^9*T2^6 - 1933*T1^10*T2^6 + 216*T1^11*T2^6 + 
     15*T1^12*T2^6 + 161*T1*T2^7 + 669*T1^2*T2^7 - 5716*T1^3*T2^7 + 
     6409*T1^4*T2^7 + 9815*T1^5*T2^7 - 23506*T1^6*T2^7 + 18060*T1^7*T2^7 + 
     279*T1^8*T2^7 - 8517*T1^9*T2^7 + 3724*T1^10*T2^7 - 137*T1^11*T2^7 - 
     99*T1^12*T2^7 - 266*T1^2*T2^8 + 597*T1^3*T2^8 + 2807*T1^4*T2^8 - 
     10703*T1^5*T2^8 + 11049*T1^6*T2^8 + 279*T1^7*T2^8 - 11119*T1^8*T2^8 + 
     10781*T1^9*T2^8 - 2859*T1^10*T2^8 - 599*T1^11*T2^8 + 246*T1^12*T2^8 + 
     175*T1^3*T2^9 - 1067*T1^4*T2^9 + 1772*T1^5*T2^9 + 1692*T1^6*T2^9 - 
     8517*T1^7*T2^9 + 10781*T1^8*T2^9 - 6450*T1^9*T2^9 + 140*T1^10*T2^9 + 
     1299*T1^11*T2^9 - 317*T1^12*T2^9 - 10*T1^4*T2^10 + 357*T1^5*T2^10 - 
     1933*T1^6*T2^10 + 3724*T1^7*T2^10 - 2859*T1^8*T2^10 + 140*T1^9*T2^10 + 
     1907*T1^10*T2^10 - 1307*T1^11*T2^10 + 246*T1^12*T2^10 - 47*T1^5*T2^11 + 
     216*T1^6*T2^11 - 137*T1^7*T2^11 - 599*T1^8*T2^11 + 1299*T1^9*T2^11 - 
     1307*T1^10*T2^11 + 606*T1^11*T2^11 - 99*T1^12*T2^11 + 15*T1^6*T2^12 - 
     99*T1^7*T2^12 + 246*T1^8*T2^12 - 317*T1^9*T2^12 + 246*T1^10*T2^12 - 
     99*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 133] -> {-((5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4)/T^2), 
   -((-415 + 1660*T1 - 2399*T1^2 + 1660*T1^3 - 415*T1^4 + 1660*T2 - 
      5486*T1*T2 + 4964*T1^2*T2 + 64*T1^3*T2 - 2986*T1^4*T2 + 1160*T1^5*T2 - 
      2399*T2^2 + 4964*T1*T2^2 + 3759*T1^2*T2^2 - 13491*T1^3*T2^2 + 
      10719*T1^4*T2^2 - 836*T1^5*T2^2 - 949*T1^6*T2^2 + 1660*T2^3 + 
      64*T1*T2^3 - 13491*T1^2*T2^3 + 17164*T1^3*T2^3 - 3756*T1^4*T2^3 - 
      7691*T1^5*T2^3 + 3164*T1^6*T2^3 + 160*T1^7*T2^3 - 415*T2^4 - 
      2986*T1*T2^4 + 10719*T1^2*T2^4 - 3756*T1^3*T2^4 - 11220*T1^4*T2^4 + 
      13444*T1^5*T2^4 - 2381*T1^6*T2^4 - 986*T1^7*T2^4 + 85*T1^8*T2^4 + 
      1160*T1*T2^5 - 836*T1^2*T2^5 - 7691*T1^3*T2^5 + 13444*T1^4*T2^5 - 
      7476*T1^5*T2^5 - 1891*T1^6*T2^5 + 2264*T1^7*T2^5 - 340*T1^8*T2^5 - 
      949*T1^2*T2^6 + 3164*T1^3*T2^6 - 2381*T1^4*T2^6 - 1891*T1^5*T2^6 + 
      4579*T1^6*T2^6 - 2636*T1^7*T2^6 + 501*T1^8*T2^6 + 160*T1^3*T2^7 - 
      986*T1^4*T2^7 + 2264*T1^5*T2^7 - 2636*T1^6*T2^7 + 1514*T1^7*T2^7 - 
      340*T1^8*T2^7 + 85*T1^4*T2^8 - 340*T1^5*T2^8 + 501*T1^6*T2^8 - 
      340*T1^7*T2^8 + 85*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 134] -> 
  {((1 - T + T^2)*(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4))/T^3, 
   (-111 + 479*T1 - 1030*T1^2 + 1285*T1^3 - 1030*T1^4 + 479*T1^5 - 111*T1^6 + 
     479*T2 - 1709*T1*T2 + 2894*T1^2*T2 - 2199*T1^3*T2 + 258*T1^4*T2 + 
     1295*T1^5*T2 - 1085*T1^6*T2 + 362*T1^7*T2 - 1030*T2^2 + 2894*T1*T2^2 - 
     3367*T1^2*T2^2 - 302*T1^3*T2^2 + 3691*T1^4*T2^2 - 3998*T1^5*T2^2 + 
     833*T1^6*T2^2 + 710*T1^7*T2^2 - 526*T1^8*T2^2 + 1285*T2^3 - 
     2199*T1*T2^3 - 302*T1^2*T2^3 + 6935*T1^3*T2^3 - 7505*T1^4*T2^3 + 
     2512*T1^5*T2^3 + 3981*T1^6*T2^3 - 3298*T1^7*T2^3 + 804*T1^8*T2^3 + 
     340*T1^9*T2^3 - 1030*T2^4 + 258*T1*T2^4 + 3691*T1^2*T2^4 - 
     7505*T1^3*T2^4 - 19*T1^4*T2^4 + 8801*T1^5*T2^4 - 11639*T1^6*T2^4 + 
     3485*T1^7*T2^4 + 1269*T1^8*T2^4 - 1380*T1^9*T2^4 - 22*T1^10*T2^4 + 
     479*T2^5 + 1295*T1*T2^5 - 3998*T1^2*T2^5 + 2512*T1^3*T2^5 + 
     8801*T1^4*T2^5 - 12937*T1^5*T2^5 + 7151*T1^6*T2^5 + 4657*T1^7*T2^5 - 
     5559*T1^8*T2^5 + 1798*T1^9*T2^5 + 554*T1^10*T2^5 - 106*T1^11*T2^5 - 
     111*T2^6 - 1085*T1*T2^6 + 833*T1^2*T2^6 + 3981*T1^3*T2^6 - 
     11639*T1^4*T2^6 + 7151*T1^5*T2^6 + 3720*T1^6*T2^6 - 11147*T1^7*T2^6 + 
     5413*T1^8*T2^6 + 635*T1^9*T2^6 - 1739*T1^10*T2^6 + 241*T1^11*T2^6 + 
     51*T1^12*T2^6 + 362*T1*T2^7 + 710*T1^2*T2^7 - 3298*T1^3*T2^7 + 
     3485*T1^4*T2^7 + 4657*T1^5*T2^7 - 11147*T1^6*T2^7 + 8941*T1^7*T2^7 + 
     513*T1^8*T2^7 - 4586*T1^9*T2^7 + 2498*T1^10*T2^7 - 31*T1^11*T2^7 - 
     223*T1^12*T2^7 - 526*T1^2*T2^8 + 804*T1^3*T2^8 + 1269*T1^4*T2^8 - 
     5559*T1^5*T2^8 + 5413*T1^6*T2^8 + 513*T1^7*T2^8 - 6207*T1^8*T2^8 + 
     5431*T1^9*T2^8 - 1153*T1^10*T2^8 - 834*T1^11*T2^8 + 482*T1^12*T2^8 + 
     340*T1^3*T2^9 - 1380*T1^4*T2^9 + 1798*T1^5*T2^9 + 635*T1^6*T2^9 - 
     4586*T1^7*T2^9 + 5431*T1^8*T2^9 - 2319*T1^9*T2^9 - 1198*T1^10*T2^9 + 
     1623*T1^11*T2^9 - 605*T1^12*T2^9 - 22*T1^4*T2^10 + 554*T1^5*T2^10 - 
     1739*T1^6*T2^10 + 2498*T1^7*T2^10 - 1153*T1^8*T2^10 - 1198*T1^9*T2^10 + 
     2461*T1^10*T2^10 - 1630*T1^11*T2^10 + 482*T1^12*T2^10 - 106*T1^5*T2^11 + 
     241*T1^6*T2^11 - 31*T1^7*T2^11 - 834*T1^8*T2^11 + 1623*T1^9*T2^11 - 
     1630*T1^10*T2^11 + 865*T1^11*T2^11 - 223*T1^12*T2^11 + 51*T1^6*T2^12 - 
     223*T1^7*T2^12 + 482*T1^8*T2^12 - 605*T1^9*T2^12 + 482*T1^10*T2^12 - 
     223*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 135] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((-25 + 162*T1 - 448*T1^2 + 635*T1^3 - 448*T1^4 + 162*T1^5 - 25*T1^6 + 
      162*T2 - 940*T1*T2 + 2191*T1^2*T2 - 2147*T1^3*T2 + 115*T1^4*T2 + 
      917*T1^5*T2 - 550*T1^6*T2 + 110*T1^7*T2 - 448*T2^2 + 2191*T1*T2^2 - 
      3574*T1^2*T2^2 - 330*T1^3*T2^2 + 7176*T1^4*T2^2 - 5802*T1^5*T2^2 + 
      1322*T1^6*T2^2 + 319*T1^7*T2^2 - 160*T1^8*T2^2 + 635*T2^3 - 
      2147*T1*T2^3 - 330*T1^2*T2^3 + 12414*T1^3*T2^3 - 20268*T1^4*T2^3 + 
      5454*T1^5*T2^3 + 5700*T1^6*T2^3 - 4326*T1^7*T2^3 + 895*T1^8*T2^3 + 
      23*T1^9*T2^3 - 448*T2^4 + 115*T1*T2^4 + 7176*T1^2*T2^4 - 
      20268*T1^3*T2^4 + 13097*T1^4*T2^4 + 21585*T1^5*T2^4 - 27499*T1^6*T2^4 + 
      10128*T1^7*T2^4 + 306*T1^8*T2^4 - 977*T1^9*T2^4 + 128*T1^10*T2^4 + 
      162*T2^5 + 917*T1*T2^5 - 5802*T1^2*T2^5 + 5454*T1^3*T2^5 + 
      21585*T1^4*T2^5 - 56368*T1^5*T2^5 + 36518*T1^6*T2^5 + 1353*T1^7*T2^5 - 
      10920*T1^8*T2^5 + 4098*T1^9*T2^5 - 201*T1^10*T2^5 - 98*T1^11*T2^5 - 
      25*T2^6 - 550*T1*T2^6 + 1322*T1^2*T2^6 + 5700*T1^3*T2^6 - 
      27499*T1^4*T2^6 + 36518*T1^5*T2^6 + 3768*T1^6*T2^6 - 39306*T1^7*T2^6 + 
      27017*T1^8*T2^6 - 4884*T1^9*T2^6 - 1418*T1^10*T2^6 + 490*T1^11*T2^6 + 
      23*T1^12*T2^6 + 110*T1*T2^7 + 319*T1^2*T2^7 - 4326*T1^3*T2^7 + 
      10128*T1^4*T2^7 + 1353*T1^5*T2^7 - 39306*T1^6*T2^7 + 53580*T1^7*T2^7 - 
      18879*T1^8*T2^7 - 6246*T1^9*T2^7 + 5574*T1^10*T2^7 - 799*T1^11*T2^7 - 
      150*T1^12*T2^7 - 160*T1^2*T2^8 + 895*T1^3*T2^8 + 306*T1^4*T2^8 - 
      10920*T1^5*T2^8 + 27017*T1^6*T2^8 - 18879*T1^7*T2^8 - 13579*T1^8*T2^8 + 
      19476*T1^9*T2^8 - 6564*T1^10*T2^8 - 197*T1^11*T2^8 + 416*T1^12*T2^8 + 
      23*T1^3*T2^9 - 977*T1^4*T2^9 + 4098*T1^5*T2^9 - 4884*T1^6*T2^9 - 
      6246*T1^7*T2^9 + 19476*T1^8*T2^9 - 11598*T1^9*T2^9 + 102*T1^10*T2^9 + 
      2065*T1^11*T2^9 - 589*T1^12*T2^9 + 128*T1^4*T2^10 - 201*T1^5*T2^10 - 
      1418*T1^6*T2^10 + 5574*T1^7*T2^10 - 6564*T1^8*T2^10 + 102*T1^9*T2^10 + 
      3478*T1^10*T2^10 - 2073*T1^11*T2^10 + 416*T1^12*T2^10 - 98*T1^5*T2^11 + 
      490*T1^6*T2^11 - 799*T1^7*T2^11 - 197*T1^8*T2^11 + 2065*T1^9*T2^11 - 
      2073*T1^10*T2^11 + 880*T1^11*T2^11 - 150*T1^12*T2^11 + 23*T1^6*T2^12 - 
      150*T1^7*T2^12 + 416*T1^8*T2^12 - 589*T1^9*T2^12 + 416*T1^10*T2^12 - 
      150*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 136] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-15 + 106*T1 - 298*T1^2 + 407*T1^3 - 298*T1^4 + 106*T1^5 - 15*T1^6 + 
     106*T2 - 698*T1*T2 + 1745*T1^2*T2 - 1859*T1^3*T2 + 717*T1^4*T2 + 
     261*T1^5*T2 - 250*T1^6*T2 + 50*T1^7*T2 - 298*T2^2 + 1745*T1*T2^2 - 
     3357*T1^2*T2^2 + 818*T1^3*T2^2 + 4083*T1^4*T2^2 - 5266*T1^5*T2^2 + 
     2415*T1^6*T2^2 - 439*T1^7*T2^2 + 14*T1^8*T2^2 + 407*T2^3 - 
     1859*T1*T2^3 + 818*T1^2*T2^3 + 9500*T1^3*T2^3 - 19142*T1^4*T2^3 + 
     14236*T1^5*T2^3 - 1948*T1^6*T2^3 - 2848*T1^7*T2^3 + 1501*T1^8*T2^3 - 
     229*T1^9*T2^3 - 298*T2^4 + 717*T1*T2^4 + 4083*T1^2*T2^4 - 
     19142*T1^3*T2^4 + 23497*T1^4*T2^4 + 71*T1^5*T2^4 - 22835*T1^6*T2^4 + 
     19230*T1^7*T2^4 - 4525*T1^8*T2^4 - 683*T1^9*T2^4 + 326*T1^10*T2^4 + 
     106*T2^5 + 261*T1*T2^5 - 5266*T1^2*T2^5 + 14236*T1^3*T2^5 + 
     71*T1^4*T2^5 - 45553*T1^5*T2^5 + 60037*T1^6*T2^5 - 24850*T1^7*T2^5 - 
     9154*T1^8*T2^5 + 8072*T1^9*T2^5 - 1055*T1^10*T2^5 - 174*T1^11*T2^5 - 
     15*T2^6 - 250*T1*T2^6 + 2415*T1^2*T2^6 - 1948*T1^3*T2^6 - 
     22835*T1^4*T2^6 + 60037*T1^5*T2^6 - 33876*T1^6*T2^6 - 29929*T1^7*T2^6 + 
     49103*T1^8*T2^6 - 15232*T1^9*T2^6 - 1541*T1^10*T2^6 + 982*T1^11*T2^6 + 
     33*T1^12*T2^6 + 50*T1*T2^7 - 439*T1^2*T2^7 - 2848*T1^3*T2^7 + 
     19230*T1^4*T2^7 - 24850*T1^5*T2^7 - 29929*T1^6*T2^7 + 75661*T1^7*T2^7 - 
     49771*T1^8*T2^7 - 4160*T1^9*T2^7 + 10490*T1^10*T2^7 - 1755*T1^11*T2^7 - 
     230*T1^12*T2^7 + 14*T1^2*T2^8 + 1501*T1^3*T2^8 - 4525*T1^4*T2^8 - 
     9154*T1^5*T2^8 + 49103*T1^6*T2^8 - 49771*T1^7*T2^8 + 2771*T1^8*T2^8 + 
     29218*T1^9*T2^8 - 13133*T1^10*T2^8 + 101*T1^11*T2^8 + 638*T1^12*T2^8 - 
     229*T1^3*T2^9 - 683*T1^4*T2^9 + 8072*T1^5*T2^9 - 15232*T1^6*T2^9 - 
     4160*T1^7*T2^9 + 29218*T1^8*T2^9 - 26680*T1^9*T2^9 + 4406*T1^10*T2^9 + 
     2677*T1^11*T2^9 - 865*T1^12*T2^9 + 326*T1^4*T2^10 - 1055*T1^5*T2^10 - 
     1541*T1^6*T2^10 + 10490*T1^7*T2^10 - 13133*T1^8*T2^10 + 
     4406*T1^9*T2^10 + 4231*T1^10*T2^10 - 3239*T1^11*T2^10 + 
     638*T1^12*T2^10 - 174*T1^5*T2^11 + 982*T1^6*T2^11 - 1755*T1^7*T2^11 + 
     101*T1^8*T2^11 + 2677*T1^9*T2^11 - 3239*T1^10*T2^11 + 1430*T1^11*T2^11 - 
     230*T1^12*T2^11 + 33*T1^6*T2^12 - 230*T1^7*T2^12 + 638*T1^8*T2^12 - 
     865*T1^9*T2^12 + 638*T1^10*T2^12 - 230*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 137] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-17 + 102*T1 - 222*T1^2 + 265*T1^3 - 222*T1^4 + 102*T1^5 - 17*T1^6 + 
     102*T2 - 558*T1*T2 + 1008*T1^2*T2 - 882*T1^3*T2 + 486*T1^4*T2 + 
     96*T1^5*T2 - 222*T1^6*T2 + 54*T1^7*T2 - 222*T2^2 + 1008*T1*T2^2 - 
     960*T1^2*T2^2 - 717*T1^3*T2^2 + 1982*T1^4*T2^2 - 2693*T1^5*T2^2 + 
     1536*T1^6*T2^2 - 240*T1^7*T2^2 - 14*T1^8*T2^2 + 265*T2^3 - 882*T1*T2^3 - 
     717*T1^2*T2^3 + 4474*T1^3*T2^3 - 5697*T1^4*T2^3 + 5019*T1^5*T2^3 - 
     1244*T1^6*T2^3 - 1185*T1^7*T2^3 + 726*T1^8*T2^3 - 107*T1^9*T2^3 - 
     222*T2^4 + 486*T1*T2^4 + 1982*T1^2*T2^4 - 5697*T1^3*T2^4 + 
     4331*T1^4*T2^4 - 643*T1^5*T2^4 - 4813*T1^6*T2^4 + 5711*T1^7*T2^4 - 
     1538*T1^8*T2^4 - 522*T1^9*T2^4 + 194*T1^10*T2^4 + 102*T2^5 + 
     96*T1*T2^5 - 2693*T1^2*T2^5 + 5019*T1^3*T2^5 - 643*T1^4*T2^5 - 
     4642*T1^5*T2^5 + 7412*T1^6*T2^5 - 3503*T1^7*T2^5 - 4313*T1^8*T2^5 + 
     3807*T1^9*T2^5 - 336*T1^10*T2^5 - 138*T1^11*T2^5 - 17*T2^6 - 
     222*T1*T2^6 + 1536*T1^2*T2^6 - 1244*T1^3*T2^6 - 4813*T1^4*T2^6 + 
     7412*T1^5*T2^6 - 2688*T1^6*T2^6 - 4740*T1^7*T2^6 + 10403*T1^8*T2^6 - 
     3236*T1^9*T2^6 - 2048*T1^10*T2^6 + 642*T1^11*T2^6 + 31*T1^12*T2^6 + 
     54*T1*T2^7 - 240*T1^2*T2^7 - 1185*T1^3*T2^7 + 5711*T1^4*T2^7 - 
     3503*T1^5*T2^7 - 4740*T1^6*T2^7 + 7314*T1^7*T2^7 - 6363*T1^8*T2^7 - 
     3621*T1^9*T2^7 + 5315*T1^10*T2^7 - 672*T1^11*T2^7 - 186*T1^12*T2^7 - 
     14*T1^2*T2^8 + 726*T1^3*T2^8 - 1538*T1^4*T2^8 - 4313*T1^5*T2^8 + 
     10403*T1^6*T2^8 - 6363*T1^7*T2^8 + 1259*T1^8*T2^8 + 7095*T1^9*T2^8 - 
     5058*T1^10*T2^8 - 282*T1^11*T2^8 + 402*T1^12*T2^8 - 107*T1^3*T2^9 - 
     522*T1^4*T2^9 + 3807*T1^5*T2^9 - 3236*T1^6*T2^9 - 3621*T1^7*T2^9 + 
     7095*T1^8*T2^9 - 8954*T1^9*T2^9 + 3339*T1^10*T2^9 + 1086*T1^11*T2^9 - 
     479*T1^12*T2^9 + 194*T1^4*T2^10 - 336*T1^5*T2^10 - 2048*T1^6*T2^10 + 
     5315*T1^7*T2^10 - 5058*T1^8*T2^10 + 3339*T1^9*T2^10 + 448*T1^10*T2^10 - 
     1584*T1^11*T2^10 + 402*T1^12*T2^10 - 138*T1^5*T2^11 + 642*T1^6*T2^11 - 
     672*T1^7*T2^11 - 282*T1^8*T2^11 + 1086*T1^9*T2^11 - 1584*T1^10*T2^11 + 
     978*T1^11*T2^11 - 186*T1^12*T2^11 + 31*T1^6*T2^12 - 186*T1^7*T2^12 + 
     402*T1^8*T2^12 - 479*T1^9*T2^12 + 402*T1^10*T2^12 - 186*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 138] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-25 + 174*T1 - 470*T1^2 + 655*T1^3 - 470*T1^4 + 174*T1^5 - 25*T1^6 + 
      174*T2 - 1094*T1*T2 + 2455*T1^2*T2 - 2353*T1^3*T2 + 195*T1^4*T2 + 
      999*T1^5*T2 - 646*T1^6*T2 + 118*T1^7*T2 - 470*T2^2 + 2455*T1*T2^2 - 
      3297*T1^2*T2^2 - 1970*T1^3*T2^2 + 9609*T1^4*T2^2 - 7898*T1^5*T2^2 + 
      2175*T1^6*T2^2 + 327*T1^7*T2^2 - 166*T1^8*T2^2 + 655*T2^3 - 
      2353*T1*T2^3 - 1970*T1^2*T2^3 + 16604*T1^3*T2^3 - 24458*T1^4*T2^3 + 
      7418*T1^5*T2^3 + 6430*T1^6*T2^3 - 5542*T1^7*T2^3 + 1035*T1^8*T2^3 + 
      19*T1^9*T2^3 - 470*T2^4 + 195*T1*T2^4 + 9609*T1^2*T2^4 - 
      24458*T1^3*T2^4 + 15019*T1^4*T2^4 + 23419*T1^5*T2^4 - 31913*T1^6*T2^4 + 
      12854*T1^7*T2^4 + 385*T1^8*T2^4 - 1093*T1^9*T2^4 + 138*T1^10*T2^4 + 
      174*T2^5 + 999*T1*T2^5 - 7898*T1^2*T2^5 + 7418*T1^3*T2^5 + 
      23419*T1^4*T2^5 - 61280*T1^5*T2^5 + 41242*T1^6*T2^5 + 1151*T1^7*T2^5 - 
      13586*T1^8*T2^5 + 5098*T1^9*T2^5 - 233*T1^10*T2^5 - 106*T1^11*T2^5 - 
      25*T2^6 - 646*T1*T2^6 + 2175*T1^2*T2^6 + 6430*T1^3*T2^6 - 
      31913*T1^4*T2^6 + 41242*T1^5*T2^6 + 3036*T1^6*T2^6 - 43502*T1^7*T2^6 + 
      31415*T1^8*T2^6 - 5482*T1^9*T2^6 - 2113*T1^10*T2^6 + 586*T1^11*T2^6 + 
      23*T1^12*T2^6 + 118*T1*T2^7 + 327*T1^2*T2^7 - 5542*T1^3*T2^7 + 
      12854*T1^4*T2^7 + 1151*T1^5*T2^7 - 43502*T1^6*T2^7 + 59020*T1^7*T2^7 - 
      21117*T1^8*T2^7 - 8150*T1^9*T2^7 + 7454*T1^10*T2^7 - 905*T1^11*T2^7 - 
      162*T1^12*T2^7 - 166*T1^2*T2^8 + 1035*T1^3*T2^8 + 385*T1^4*T2^8 - 
      13586*T1^5*T2^8 + 31415*T1^6*T2^8 - 21117*T1^7*T2^8 - 15517*T1^8*T2^8 + 
      23726*T1^9*T2^8 - 8839*T1^10*T2^8 - 253*T1^11*T2^8 + 442*T1^12*T2^8 + 
      19*T1^3*T2^9 - 1093*T1^4*T2^9 + 5098*T1^5*T2^9 - 5482*T1^6*T2^9 - 
      8150*T1^7*T2^9 + 23726*T1^8*T2^9 - 15656*T1^9*T2^9 + 1526*T1^10*T2^9 + 
      2295*T1^11*T2^9 - 617*T1^12*T2^9 + 138*T1^4*T2^10 - 233*T1^5*T2^10 - 
      2113*T1^6*T2^10 + 7454*T1^7*T2^10 - 8839*T1^8*T2^10 + 1526*T1^9*T2^10 + 
      3359*T1^10*T2^10 - 2361*T1^11*T2^10 + 442*T1^12*T2^10 - 
      106*T1^5*T2^11 + 586*T1^6*T2^11 - 905*T1^7*T2^11 - 253*T1^8*T2^11 + 
      2295*T1^9*T2^11 - 2361*T1^10*T2^11 + 1034*T1^11*T2^11 - 
      162*T1^12*T2^11 + 23*T1^6*T2^12 - 162*T1^7*T2^12 + 442*T1^8*T2^12 - 
      617*T1^9*T2^12 + 442*T1^10*T2^12 - 162*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 139] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 260*T1^3*T2 + 
      175*T1^4*T2 - 40*T1^5*T2 - 100*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 180*T1^3*T2^2 + 
      188*T1^4*T2^2 - 382*T1^5*T2^2 + 452*T1^6*T2^2 - 180*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 100*T2^3 - 260*T1*T2^3 + 
      180*T1^2*T2^3 + 20*T1^3*T2^3 - 542*T1^4*T2^3 + 408*T1^5*T2^3 - 
      252*T1^6*T2^3 - 302*T1^7*T2^3 + 260*T1^8*T2^3 - 180*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 175*T1*T2^4 + 
      188*T1^2*T2^4 - 542*T1^3*T2^4 + 1155*T1^4*T2^4 - 553*T1^5*T2^4 + 
      373*T1^6*T2^4 + 267*T1^7*T2^4 + 179*T1^8*T2^4 - 182*T1^9*T2^4 + 
      292*T1^10*T2^4 - 85*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 
      40*T1*T2^5 - 382*T1^2*T2^5 + 408*T1^3*T2^5 - 553*T1^4*T2^5 - 
      637*T1^5*T2^5 + 396*T1^6*T2^5 - 584*T1^7*T2^5 - 517*T1^8*T2^5 + 
      312*T1^9*T2^5 - 292*T1^10*T2^5 - 97*T1^11*T2^5 + 115*T1^12*T2^5 - 
      60*T2^6 - 100*T1*T2^6 + 452*T1^2*T2^6 - 252*T1^3*T2^6 + 373*T1^4*T2^6 + 
      396*T1^5*T2^6 + 842*T1^6*T2^6 - 948*T1^7*T2^6 + 1706*T1^8*T2^6 - 
      524*T1^9*T2^6 + 101*T1^10*T2^6 + 348*T1^11*T2^6 - 132*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 180*T1^2*T2^7 - 
      302*T1^3*T2^7 + 267*T1^4*T2^7 - 584*T1^5*T2^7 - 948*T1^6*T2^7 + 
      771*T1^7*T2^7 - 859*T1^8*T2^7 - 508*T1^9*T2^7 + 516*T1^10*T2^7 - 
      418*T1^11*T2^7 - 62*T1^12*T2^7 + 180*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 260*T1^3*T2^8 + 
      179*T1^4*T2^8 - 517*T1^5*T2^8 + 1706*T1^6*T2^8 - 859*T1^7*T2^8 + 
      144*T1^8*T2^8 + 911*T1^9*T2^8 - 526*T1^10*T2^8 + 53*T1^11*T2^8 + 
      275*T1^12*T2^8 - 180*T1^13*T2^8 - 70*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 180*T1^3*T2^9 - 
      182*T1^4*T2^9 + 312*T1^5*T2^9 - 524*T1^6*T2^9 - 508*T1^7*T2^9 + 
      911*T1^8*T2^9 - 719*T1^9*T2^9 - 68*T1^10*T2^9 + 576*T1^11*T2^9 - 
      373*T1^12*T2^9 + 58*T1^13*T2^9 + 180*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 20*T1^3*T2^10 + 292*T1^4*T2^10 - 
      292*T1^5*T2^10 + 101*T1^6*T2^10 + 516*T1^7*T2^10 - 526*T1^8*T2^10 - 
      68*T1^9*T2^10 + 338*T1^10*T2^10 - 404*T1^11*T2^10 - 171*T1^12*T2^10 + 
      308*T1^13*T2^10 - 292*T1^14*T2^10 + 20*T1^15*T2^10 + 36*T1^16*T2^10 + 
      40*T1^3*T2^11 - 85*T1^4*T2^11 - 97*T1^5*T2^11 + 348*T1^6*T2^11 - 
      418*T1^7*T2^11 + 53*T1^8*T2^11 + 576*T1^9*T2^11 - 404*T1^10*T2^11 + 
      173*T1^11*T2^11 + 447*T1^12*T2^11 - 352*T1^13*T2^11 + 188*T1^14*T2^11 + 
      70*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 115*T1^5*T2^12 - 
      132*T1^6*T2^12 - 62*T1^7*T2^12 + 275*T1^8*T2^12 - 373*T1^9*T2^12 - 
      171*T1^10*T2^12 + 447*T1^11*T2^12 - 701*T1^12*T2^12 + 298*T1^13*T2^12 - 
      28*T1^14*T2^12 - 145*T1^15*T2^12 + 69*T1^16*T2^12 - 60*T1^6*T2^13 + 
      180*T1^7*T2^13 - 180*T1^8*T2^13 + 58*T1^9*T2^13 + 308*T1^10*T2^13 - 
      352*T1^11*T2^13 + 298*T1^12*T2^13 + 60*T1^13*T2^13 - 180*T1^14*T2^13 + 
      180*T1^15*T2^13 - 60*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 
      70*T1^8*T2^14 + 180*T1^9*T2^14 - 292*T1^10*T2^14 + 188*T1^11*T2^14 - 
      28*T1^12*T2^14 - 180*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 
      36*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 
      20*T1^10*T2^15 + 70*T1^11*T2^15 - 145*T1^12*T2^15 + 180*T1^13*T2^15 - 
      130*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 140] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-39 + 155*T1 - 271*T1^2 + 329*T1^3 - 271*T1^4 + 155*T1^5 - 39*T1^6 + 
      155*T2 - 492*T1*T2 + 588*T1^2*T2 - 454*T1^3*T2 + 42*T1^4*T2 + 
      236*T1^5*T2 - 332*T1^6*T2 + 123*T1^7*T2 - 271*T2^2 + 588*T1*T2^2 - 
      106*T1^2*T2^2 - 488*T1^3*T2^2 + 1148*T1^4*T2^2 - 992*T1^5*T2^2 + 
      566*T1^6*T2^2 + 140*T1^7*T2^2 - 159*T1^8*T2^2 + 329*T2^3 - 
      454*T1*T2^3 - 488*T1^2*T2^3 + 870*T1^3*T2^3 - 1070*T1^4*T2^3 + 
      158*T1^5*T2^3 + 344*T1^6*T2^3 - 796*T1^7*T2^3 + 138*T1^8*T2^3 + 
      125*T1^9*T2^3 - 271*T2^4 + 42*T1*T2^4 + 1148*T1^2*T2^4 - 
      1070*T1^3*T2^4 + 831*T1^4*T2^4 + 299*T1^5*T2^4 - 273*T1^6*T2^4 + 
      290*T1^7*T2^4 + 540*T1^8*T2^4 - 310*T1^9*T2^4 - 47*T1^10*T2^4 + 
      155*T2^5 + 236*T1*T2^5 - 992*T1^2*T2^5 + 158*T1^3*T2^5 + 
      299*T1^4*T2^5 - 834*T1^5*T2^5 - 48*T1^6*T2^5 + 327*T1^7*T2^5 - 
      806*T1^8*T2^5 + 100*T1^9*T2^5 + 204*T1^10*T2^5 - 5*T1^11*T2^5 - 
      39*T2^6 - 332*T1*T2^6 + 566*T1^2*T2^6 + 344*T1^3*T2^6 - 273*T1^4*T2^6 - 
      48*T1^5*T2^6 + 948*T1^6*T2^6 - 696*T1^7*T2^6 + 415*T1^8*T2^6 + 
      384*T1^9*T2^6 - 362*T1^10*T2^6 - 12*T1^11*T2^6 + 9*T1^12*T2^6 + 
      123*T1*T2^7 + 140*T1^2*T2^7 - 796*T1^3*T2^7 + 290*T1^4*T2^7 + 
      327*T1^5*T2^7 - 696*T1^6*T2^7 + 90*T1^7*T2^7 + 355*T1^8*T2^7 - 
      674*T1^9*T2^7 + 296*T1^10*T2^7 + 108*T1^11*T2^7 - 37*T1^12*T2^7 - 
      159*T1^2*T2^8 + 138*T1^3*T2^8 + 540*T1^4*T2^8 - 806*T1^5*T2^8 + 
      415*T1^6*T2^8 + 355*T1^7*T2^8 - 689*T1^8*T2^8 + 554*T1^9*T2^8 - 
      68*T1^10*T2^8 - 214*T1^11*T2^8 + 65*T1^12*T2^8 + 125*T1^3*T2^9 - 
      310*T1^4*T2^9 + 100*T1^5*T2^9 + 384*T1^6*T2^9 - 674*T1^7*T2^9 + 
      554*T1^8*T2^9 - 142*T1^9*T2^9 - 208*T1^10*T2^9 + 282*T1^11*T2^9 - 
      79*T1^12*T2^9 - 47*T1^4*T2^10 + 204*T1^5*T2^10 - 362*T1^6*T2^10 + 
      296*T1^7*T2^10 - 68*T1^8*T2^10 - 208*T1^9*T2^10 + 310*T1^10*T2^10 - 
      244*T1^11*T2^10 + 65*T1^12*T2^10 - 5*T1^5*T2^11 - 12*T1^6*T2^11 + 
      108*T1^7*T2^11 - 214*T1^8*T2^11 + 282*T1^9*T2^11 - 244*T1^10*T2^11 + 
      148*T1^11*T2^11 - 37*T1^12*T2^11 + 9*T1^6*T2^12 - 37*T1^7*T2^12 + 
      65*T1^8*T2^12 - 79*T1^9*T2^12 + 65*T1^10*T2^12 - 37*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 141] -> 
  {(2 - 11*T + 24*T^2 - 29*T^3 + 24*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-17 + 94*T1 - 206*T1^2 + 249*T1^3 - 206*T1^4 + 94*T1^5 - 17*T1^6 + 
     94*T2 - 470*T1*T2 + 862*T1^2*T2 - 766*T1^3*T2 + 400*T1^4*T2 + 
     92*T1^5*T2 - 184*T1^6*T2 + 50*T1^7*T2 - 206*T2^2 + 862*T1*T2^2 - 
     974*T1^2*T2^2 - 269*T1^3*T2^2 + 1368*T1^4*T2^2 - 1997*T1^5*T2^2 + 
     1138*T1^6*T2^2 - 194*T1^7*T2^2 - 14*T1^8*T2^2 + 249*T2^3 - 766*T1*T2^3 - 
     269*T1^2*T2^3 + 3124*T1^3*T2^3 - 4224*T1^4*T2^3 + 3678*T1^5*T2^3 - 
     722*T1^6*T2^3 - 1013*T1^7*T2^3 + 620*T1^8*T2^3 - 99*T1^9*T2^3 - 
     206*T2^4 + 400*T1*T2^4 + 1368*T1^2*T2^4 - 4224*T1^3*T2^4 + 
     3321*T1^4*T2^4 - 317*T1^5*T2^4 - 3939*T1^6*T2^4 + 4244*T1^7*T2^4 - 
     1042*T1^8*T2^4 - 436*T1^9*T2^4 + 178*T1^10*T2^4 + 94*T2^5 + 92*T1*T2^5 - 
     1997*T1^2*T2^5 + 3678*T1^3*T2^5 - 317*T1^4*T2^5 - 4200*T1^5*T2^5 + 
     6398*T1^6*T2^5 - 2765*T1^7*T2^5 - 3092*T1^8*T2^5 + 2683*T1^9*T2^5 - 
     282*T1^10*T2^5 - 126*T1^11*T2^5 - 17*T2^6 - 184*T1*T2^6 + 
     1138*T1^2*T2^6 - 722*T1^3*T2^6 - 3939*T1^4*T2^6 + 6398*T1^5*T2^6 - 
     2580*T1^6*T2^6 - 3954*T1^7*T2^6 + 7945*T1^8*T2^6 - 2474*T1^9*T2^6 - 
     1306*T1^10*T2^6 + 520*T1^11*T2^6 + 31*T1^12*T2^6 + 50*T1*T2^7 - 
     194*T1^2*T2^7 - 1013*T1^3*T2^7 + 4244*T1^4*T2^7 - 2765*T1^5*T2^7 - 
     3954*T1^6*T2^7 + 6644*T1^7*T2^7 - 5213*T1^8*T2^7 - 2526*T1^9*T2^7 + 
     3667*T1^10*T2^7 - 568*T1^11*T2^7 - 170*T1^12*T2^7 - 14*T1^2*T2^8 + 
     620*T1^3*T2^8 - 1042*T1^4*T2^8 - 3092*T1^5*T2^8 + 7945*T1^6*T2^8 - 
     5213*T1^7*T2^8 + 685*T1^8*T2^8 + 5376*T1^9*T2^8 - 3452*T1^10*T2^8 - 
     216*T1^11*T2^8 + 370*T1^12*T2^8 - 99*T1^3*T2^9 - 436*T1^4*T2^9 + 
     2683*T1^5*T2^9 - 2474*T1^6*T2^9 - 2526*T1^7*T2^9 + 5376*T1^8*T2^9 - 
     6320*T1^9*T2^9 + 1939*T1^10*T2^9 + 950*T1^11*T2^9 - 447*T1^12*T2^9 + 
     178*T1^4*T2^10 - 282*T1^5*T2^10 - 1306*T1^6*T2^10 + 3667*T1^7*T2^10 - 
     3452*T1^8*T2^10 + 1939*T1^9*T2^10 + 806*T1^10*T2^10 - 1338*T1^11*T2^10 + 
     370*T1^12*T2^10 - 126*T1^5*T2^11 + 520*T1^6*T2^11 - 568*T1^7*T2^11 - 
     216*T1^8*T2^11 + 950*T1^9*T2^11 - 1338*T1^10*T2^11 + 806*T1^11*T2^11 - 
     170*T1^12*T2^11 + 31*T1^6*T2^12 - 170*T1^7*T2^12 + 370*T1^8*T2^12 - 
     447*T1^9*T2^12 + 370*T1^10*T2^12 - 170*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 142] -> 
  {-((1 - 5*T + 8*T^2 - 10*T^3 + 11*T^4 - 10*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4), 
   -((-1 + 5*T1 - 8*T1^2 + 10*T1^3 - 11*T1^4 + 10*T1^5 - 8*T1^6 + 5*T1^7 - 
      T1^8 + 5*T2 - 25*T1*T2 + 40*T1^2*T2 - 50*T1^3*T2 + 55*T1^4*T2 - 
      50*T1^5*T2 + 40*T1^6*T2 - 25*T1^7*T2 + 5*T1^8*T2 - 8*T2^2 + 
      40*T1*T2^2 - 52*T1^2*T2^2 + 36*T1^3*T2^2 - 17*T1^4*T2^2 - 
      10*T1^5*T2^2 + 31*T1^6*T2^2 - 44*T1^7*T2^2 + 60*T1^8*T2^2 - 
      40*T1^9*T2^2 + 8*T1^10*T2^2 + 10*T2^3 - 50*T1*T2^3 + 36*T1^2*T2^3 + 
      58*T1^3*T2^3 - 99*T1^4*T2^3 + 141*T1^5*T2^3 - 159*T1^6*T2^3 + 
      141*T1^7*T2^3 - 132*T1^8*T2^3 + 36*T1^9*T2^3 + 60*T1^10*T2^3 - 
      20*T1^11*T2^3 - 11*T2^4 + 55*T1*T2^4 - 17*T1^2*T2^4 - 99*T1^3*T2^4 + 
      39*T1^4*T2^4 - 60*T1^5*T2^4 + 39*T1^6*T2^4 + 20*T1^7*T2^4 - 
      21*T1^8*T2^4 + 161*T1^9*T2^4 - 165*T1^10*T2^4 - 65*T1^11*T2^4 + 
      33*T1^12*T2^4 + 10*T2^5 - 50*T1*T2^5 - 10*T1^2*T2^5 + 141*T1^3*T2^5 - 
      60*T1^4*T2^5 + 275*T1^5*T2^5 - 321*T1^6*T2^5 + 319*T1^7*T2^5 - 
      375*T1^8*T2^5 + 165*T1^9*T2^5 - 199*T1^10*T2^5 + 335*T1^11*T2^5 + 
      35*T1^12*T2^5 - 40*T1^13*T2^5 - 8*T2^6 + 40*T1*T2^6 + 31*T1^2*T2^6 - 
      159*T1^3*T2^6 + 39*T1^4*T2^6 - 321*T1^5*T2^6 + 147*T1^6*T2^6 - 
      41*T1^7*T2^6 + 11*T1^8*T2^6 + 319*T1^9*T2^6 - 201*T1^10*T2^6 + 
      81*T1^11*T2^6 - 409*T1^12*T2^6 + 40*T1^14*T2^6 + 5*T2^7 - 25*T1*T2^7 - 
      44*T1^2*T2^7 + 141*T1^3*T2^7 + 20*T1^4*T2^7 + 319*T1^5*T2^7 - 
      41*T1^6*T2^7 + 143*T1^7*T2^7 - 237*T1^8*T2^7 + 19*T1^9*T2^7 - 
      321*T1^10*T2^7 + 375*T1^11*T2^7 - 19*T1^12*T2^7 + 436*T1^13*T2^7 - 
      50*T1^14*T2^7 - 30*T1^15*T2^7 - T2^8 + 5*T1*T2^8 + 60*T1^2*T2^8 - 
      132*T1^3*T2^8 - 21*T1^4*T2^8 - 375*T1^5*T2^8 + 11*T1^6*T2^8 - 
      237*T1^7*T2^8 + 192*T1^8*T2^8 + 93*T1^9*T2^8 + 135*T1^10*T2^8 + 
      35*T1^11*T2^8 - 385*T1^12*T2^8 - 92*T1^13*T2^8 - 370*T1^14*T2^8 + 
      115*T1^15*T2^8 + 7*T1^16*T2^8 - 40*T1^2*T2^9 + 36*T1^3*T2^9 + 
      161*T1^4*T2^9 + 165*T1^5*T2^9 + 319*T1^6*T2^9 + 19*T1^7*T2^9 + 
      93*T1^8*T2^9 - 287*T1^9*T2^9 + 79*T1^10*T2^9 - 321*T1^11*T2^9 + 
      520*T1^12*T2^9 + T1^13*T2^9 + 516*T1^14*T2^9 - 65*T1^15*T2^9 - 
      35*T1^16*T2^9 + 8*T1^2*T2^10 + 60*T1^3*T2^10 - 165*T1^4*T2^10 - 
      199*T1^5*T2^10 - 201*T1^6*T2^10 - 321*T1^7*T2^10 + 135*T1^8*T2^10 + 
      79*T1^9*T2^10 - T1^10*T2^10 + 319*T1^11*T2^10 - 441*T1^12*T2^10 + 
      41*T1^13*T2^10 - 605*T1^14*T2^10 + 20*T1^15*T2^10 + 56*T1^16*T2^10 - 
      20*T1^3*T2^11 - 65*T1^4*T2^11 + 335*T1^5*T2^11 + 81*T1^6*T2^11 + 
      375*T1^7*T2^11 + 35*T1^8*T2^11 - 321*T1^9*T2^11 + 319*T1^10*T2^11 - 
      615*T1^11*T2^11 + 600*T1^12*T2^11 - 259*T1^13*T2^11 + 680*T1^14*T2^11 + 
      20*T1^15*T2^11 - 70*T1^16*T2^11 + 33*T1^4*T2^12 + 35*T1^5*T2^12 - 
      409*T1^6*T2^12 - 19*T1^7*T2^12 - 385*T1^8*T2^12 + 520*T1^9*T2^12 - 
      441*T1^10*T2^12 + 600*T1^11*T2^12 - 445*T1^12*T2^12 + 241*T1^13*T2^12 - 
      557*T1^14*T2^12 - 85*T1^15*T2^12 + 77*T1^16*T2^12 - 40*T1^5*T2^13 + 
      436*T1^7*T2^13 - 92*T1^8*T2^13 + T1^9*T2^13 + 41*T1^10*T2^13 - 
      259*T1^11*T2^13 + 241*T1^12*T2^13 - 282*T1^13*T2^13 + 436*T1^14*T2^13 + 
      110*T1^15*T2^13 - 70*T1^16*T2^13 + 40*T1^6*T2^14 - 50*T1^7*T2^14 - 
      370*T1^8*T2^14 + 516*T1^9*T2^14 - 605*T1^10*T2^14 + 680*T1^11*T2^14 - 
      557*T1^12*T2^14 + 436*T1^13*T2^14 - 258*T1^14*T2^14 - 130*T1^15*T2^14 + 
      56*T1^16*T2^14 - 30*T1^7*T2^15 + 115*T1^8*T2^15 - 65*T1^9*T2^15 + 
      20*T1^10*T2^15 + 20*T1^11*T2^15 - 85*T1^12*T2^15 + 110*T1^13*T2^15 - 
      130*T1^14*T2^15 + 145*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 
      35*T1^9*T2^16 + 56*T1^10*T2^16 - 70*T1^11*T2^16 + 77*T1^12*T2^16 - 
      70*T1^13*T2^16 + 56*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 143] -> 
  {-((2 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-7 + 39*T1 - 72*T1^2 + 83*T1^3 - 72*T1^4 + 39*T1^5 - 7*T1^6 + 39*T2 - 
      222*T1*T2 + 425*T1^2*T2 - 501*T1^3*T2 + 445*T1^4*T2 - 257*T1^5*T2 + 
      64*T1^6*T2 - 5*T1^7*T2 - 72*T2^2 + 425*T1*T2^2 - 735*T1^2*T2^2 + 
      502*T1^3*T2^2 - 27*T1^4*T2^2 - 458*T1^5*T2^2 + 705*T1^6*T2^2 - 
      455*T1^7*T2^2 + 88*T1^8*T2^2 + 83*T2^3 - 501*T1*T2^3 + 502*T1^2*T2^3 + 
      1072*T1^3*T2^3 - 2381*T1^4*T2^3 + 2801*T1^5*T2^3 - 2298*T1^6*T2^3 + 
      602*T1^7*T2^3 + 577*T1^8*T2^3 - 193*T1^9*T2^3 - 72*T2^4 + 445*T1*T2^4 - 
      27*T1^2*T2^4 - 2381*T1^3*T2^4 + 2473*T1^4*T2^4 - 1145*T1^5*T2^4 - 
      719*T1^6*T2^4 + 3047*T1^7*T2^4 - 2393*T1^8*T2^4 - 303*T1^9*T2^4 + 
      248*T1^10*T2^4 + 39*T2^5 - 257*T1*T2^5 - 458*T1^2*T2^5 + 
      2801*T1^3*T2^5 - 1145*T1^4*T2^5 - 86*T1^5*T2^5 + 664*T1^6*T2^5 - 
      1105*T1^7*T2^5 - 1889*T1^8*T2^5 + 3682*T1^9*T2^5 - 367*T1^10*T2^5 - 
      181*T1^11*T2^5 - 7*T2^6 + 64*T1*T2^6 + 705*T1^2*T2^6 - 2298*T1^3*T2^6 - 
      719*T1^4*T2^6 + 664*T1^5*T2^6 + 132*T1^6*T2^6 - 488*T1^7*T2^6 + 
      3029*T1^8*T2^6 - 1970*T1^9*T2^6 - 2539*T1^10*T2^6 + 768*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 455*T1^2*T2^7 + 602*T1^3*T2^7 + 
      3047*T1^4*T2^7 - 1105*T1^5*T2^7 - 488*T1^6*T2^7 + 262*T1^7*T2^7 - 
      1065*T1^8*T2^7 - 1643*T1^9*T2^7 + 4742*T1^10*T2^7 - 565*T1^11*T2^7 - 
      225*T1^12*T2^7 + 88*T1^2*T2^8 + 577*T1^3*T2^8 - 2393*T1^4*T2^8 - 
      1889*T1^5*T2^8 + 3029*T1^6*T2^8 - 1065*T1^7*T2^8 - 163*T1^8*T2^8 + 
      3539*T1^9*T2^8 - 4759*T1^10*T2^8 - 171*T1^11*T2^8 + 408*T1^12*T2^8 - 
      193*T1^3*T2^9 - 303*T1^4*T2^9 + 3682*T1^5*T2^9 - 1970*T1^6*T2^9 - 
      1643*T1^7*T2^9 + 3539*T1^8*T2^9 - 5340*T1^9*T2^9 + 3782*T1^10*T2^9 + 
      775*T1^11*T2^9 - 469*T1^12*T2^9 + 248*T1^4*T2^10 - 367*T1^5*T2^10 - 
      2539*T1^6*T2^10 + 4742*T1^7*T2^10 - 4759*T1^8*T2^10 + 3782*T1^9*T2^10 - 
      1099*T1^10*T2^10 - 1247*T1^11*T2^10 + 408*T1^12*T2^10 - 
      181*T1^5*T2^11 + 768*T1^6*T2^11 - 565*T1^7*T2^11 - 171*T1^8*T2^11 + 
      775*T1^9*T2^11 - 1247*T1^10*T2^11 + 1054*T1^11*T2^11 - 
      225*T1^12*T2^11 + 41*T1^6*T2^12 - 225*T1^7*T2^12 + 408*T1^8*T2^12 - 
      469*T1^9*T2^12 + 408*T1^10*T2^12 - 225*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 144] -> 
  {-((2 - 10*T + 16*T^2 - 17*T^3 + 16*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-7 + 35*T1 - 57*T1^2 + 61*T1^3 - 57*T1^4 + 35*T1^5 - 7*T1^6 + 35*T2 - 
      180*T1*T2 + 310*T1^2*T2 - 340*T1^3*T2 + 320*T1^4*T2 - 210*T1^5*T2 + 
      60*T1^6*T2 - 5*T1^7*T2 - 57*T2^2 + 310*T1*T2^2 - 507*T1^2*T2^2 + 
      323*T1^3*T2^2 - 105*T1^4*T2^2 - 125*T1^5*T2^2 + 389*T1^6*T2^2 - 
      330*T1^7*T2^2 + 71*T1^8*T2^2 + 61*T2^3 - 340*T1*T2^3 + 323*T1^2*T2^3 + 
      722*T1^3*T2^3 - 1250*T1^4*T2^3 + 1378*T1^5*T2^3 - 1500*T1^6*T2^3 + 
      611*T1^7*T2^3 + 360*T1^8*T2^3 - 143*T1^9*T2^3 - 57*T2^4 + 320*T1*T2^4 - 
      105*T1^2*T2^4 - 1250*T1^3*T2^4 + 834*T1^4*T2^4 - 384*T1^5*T2^4 + 
      246*T1^6*T2^4 + 1334*T1^7*T2^4 - 1457*T1^8*T2^4 - 280*T1^9*T2^4 + 
      199*T1^10*T2^4 + 35*T2^5 - 210*T1*T2^5 - 125*T1^2*T2^5 + 
      1378*T1^3*T2^5 - 384*T1^4*T2^5 + 912*T1^5*T2^5 - 1392*T1^6*T2^5 + 
      64*T1^7*T2^5 - 1338*T1^8*T2^5 + 2531*T1^9*T2^5 - 170*T1^10*T2^5 - 
      165*T1^11*T2^5 - 7*T2^6 + 60*T1*T2^6 + 389*T1^2*T2^6 - 1500*T1^3*T2^6 + 
      246*T1^4*T2^6 - 1392*T1^5*T2^6 + 1284*T1^6*T2^6 + 384*T1^7*T2^6 + 
      998*T1^8*T2^6 - 628*T1^9*T2^6 - 2203*T1^10*T2^6 + 620*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 330*T1^2*T2^7 + 611*T1^3*T2^7 + 
      1334*T1^4*T2^7 + 64*T1^5*T2^7 + 384*T1^6*T2^7 - 1920*T1^7*T2^7 + 
      512*T1^8*T2^7 - 1382*T1^9*T2^7 + 3267*T1^10*T2^7 - 290*T1^11*T2^7 - 
      205*T1^12*T2^7 + 71*T1^2*T2^8 + 360*T1^3*T2^8 - 1457*T1^4*T2^8 - 
      1338*T1^5*T2^8 + 998*T1^6*T2^8 + 512*T1^7*T2^8 + 410*T1^8*T2^8 + 
      1246*T1^9*T2^8 - 2809*T1^10*T2^8 - 240*T1^11*T2^8 + 327*T1^12*T2^8 - 
      143*T1^3*T2^9 - 280*T1^4*T2^9 + 2531*T1^5*T2^9 - 628*T1^6*T2^9 - 
      1382*T1^7*T2^9 + 1246*T1^8*T2^9 - 2850*T1^9*T2^9 + 2819*T1^10*T2^9 + 
      420*T1^11*T2^9 - 347*T1^12*T2^9 + 199*T1^4*T2^10 - 170*T1^5*T2^10 - 
      2203*T1^6*T2^10 + 3267*T1^7*T2^10 - 2809*T1^8*T2^10 + 2819*T1^9*T2^10 - 
      1307*T1^10*T2^10 - 810*T1^11*T2^10 + 327*T1^12*T2^10 - 165*T1^5*T2^11 + 
      620*T1^6*T2^11 - 290*T1^7*T2^11 - 240*T1^8*T2^11 + 420*T1^9*T2^11 - 
      810*T1^10*T2^11 + 860*T1^11*T2^11 - 205*T1^12*T2^11 + 41*T1^6*T2^12 - 
      205*T1^7*T2^12 + 327*T1^8*T2^12 - 347*T1^9*T2^12 + 327*T1^10*T2^12 - 
      205*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 145] -> {-((4 - 21*T + 33*T^2 - 21*T^3 + 4*T^4)/T^2), 
   -((-48 + 252*T1 - 400*T1^2 + 252*T1^3 - 48*T1^4 + 252*T2 - 1406*T1*T2 + 
      2540*T1^2*T2 - 1996*T1^3*T2 + 694*T1^4*T2 - 84*T1^5*T2 - 400*T2^2 + 
      2540*T1*T2^2 - 4862*T1^2*T2^2 + 1944*T1^3*T2^2 + 2794*T1^4*T2^2 - 
      3004*T1^5*T2^2 + 656*T1^6*T2^2 + 252*T2^3 - 1996*T1*T2^3 + 
      1944*T1^2*T2^3 + 10831*T1^3*T2^3 - 20291*T1^4*T2^3 + 10953*T1^5*T2^3 + 
      524*T1^6*T2^3 - 756*T1^7*T2^3 - 48*T2^4 + 694*T1*T2^4 + 
      2794*T1^2*T2^4 - 20291*T1^3*T2^4 + 20580*T1^4*T2^4 + 3943*T1^5*T2^4 - 
      13616*T1^6*T2^4 + 2878*T1^7*T2^4 + 208*T1^8*T2^4 - 84*T1*T2^5 - 
      3004*T1^2*T2^5 + 10953*T1^3*T2^5 + 3943*T1^4*T2^5 - 27179*T1^5*T2^5 + 
      19962*T1^6*T2^5 - 484*T1^7*T2^5 - 1092*T1^8*T2^5 + 656*T1^2*T2^6 + 
      524*T1^3*T2^6 - 13616*T1^4*T2^6 + 19962*T1^5*T2^6 - 5960*T1^6*T2^6 - 
      5020*T1^7*T2^6 + 1712*T1^8*T2^6 - 756*T1^3*T2^7 + 2878*T1^4*T2^7 - 
      484*T1^5*T2^7 - 5020*T1^6*T2^7 + 4978*T1^7*T2^7 - 1092*T1^8*T2^7 + 
      208*T1^4*T2^8 - 1092*T1^5*T2^8 + 1712*T1^6*T2^8 - 1092*T1^7*T2^8 + 
      208*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 146] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6))/T^4), 
   -((-3 + 18*T1 - 45*T1^2 + 75*T1^3 - 87*T1^4 + 75*T1^5 - 45*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 198*T1^2*T2 - 270*T1^3*T2 + 
      222*T1^4*T2 - 102*T1^5*T2 - 30*T1^6*T2 + 72*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 45*T2^2 + 198*T1*T2^2 - 258*T1^2*T2^2 + 136*T1^3*T2^2 + 
      265*T1^4*T2^2 - 580*T1^5*T2^2 + 685*T1^6*T2^2 - 434*T1^7*T2^2 + 
      162*T1^8*T2^2 + 18*T1^9*T2^2 - 15*T1^10*T2^2 + 75*T2^3 - 270*T1*T2^3 + 
      136*T1^2*T2^3 + 275*T1^3*T2^3 - 941*T1^4*T2^3 + 1069*T1^5*T2^3 - 
      791*T1^6*T2^3 + 34*T1^7*T2^3 + 335*T1^8*T2^3 - 359*T1^9*T2^3 + 
      90*T1^10*T2^3 - 87*T2^4 + 222*T1*T2^4 + 265*T1^2*T2^4 - 941*T1^3*T2^4 + 
      1583*T1^4*T2^4 - 1157*T1^5*T2^4 + 337*T1^6*T2^4 + 839*T1^7*T2^4 - 
      869*T1^8*T2^4 + 359*T1^9*T2^4 + 205*T1^10*T2^4 - 174*T1^11*T2^4 + 
      29*T1^12*T2^4 + 75*T2^5 - 102*T1*T2^5 - 580*T1^2*T2^5 + 
      1069*T1^3*T2^5 - 1157*T1^4*T2^5 + 158*T1^5*T2^5 + 700*T1^6*T2^5 - 
      1295*T1^7*T2^5 + 138*T1^8*T2^5 + 915*T1^9*T2^5 - 1011*T1^10*T2^5 + 
      302*T1^11*T2^5 + 126*T1^12*T2^5 - 50*T1^13*T2^5 - 45*T2^6 - 
      30*T1*T2^6 + 685*T1^2*T2^6 - 791*T1^3*T2^6 + 337*T1^4*T2^6 + 
      700*T1^5*T2^6 - 1130*T1^6*T2^6 + 760*T1^7*T2^6 + 910*T1^8*T2^6 - 
      1280*T1^9*T2^6 + 127*T1^10*T2^6 + 739*T1^11*T2^6 - 695*T1^12*T2^6 + 
      30*T1^13*T2^6 + 45*T1^14*T2^6 + 18*T2^7 + 72*T1*T2^7 - 434*T1^2*T2^7 + 
      34*T1^3*T2^7 + 839*T1^4*T2^7 - 1295*T1^5*T2^7 + 760*T1^6*T2^7 + 
      962*T1^7*T2^7 - 2344*T1^8*T2^7 + 1455*T1^9*T2^7 + 730*T1^10*T2^7 - 
      929*T1^11*T2^7 + 359*T1^12*T2^7 + 511*T1^13*T2^7 - 126*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 162*T1^2*T2^8 + 335*T1^3*T2^8 - 
      869*T1^4*T2^8 + 138*T1^5*T2^8 + 910*T1^6*T2^8 - 2344*T1^7*T2^8 + 
      1320*T1^8*T2^8 + 1032*T1^9*T2^8 - 2920*T1^10*T2^8 + 1202*T1^11*T2^8 - 
      37*T1^12*T2^8 - 775*T1^13*T2^8 - 114*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 18*T1^2*T2^9 - 359*T1^3*T2^9 + 
      359*T1^4*T2^9 + 915*T1^5*T2^9 - 1280*T1^6*T2^9 + 1455*T1^7*T2^9 + 
      1032*T1^8*T2^9 - 2274*T1^9*T2^9 + 2150*T1^10*T2^9 + 745*T1^11*T2^9 - 
      853*T1^12*T2^9 + 684*T1^13*T2^9 + 586*T1^14*T2^9 - 180*T1^15*T2^9 - 
      30*T1^16*T2^9 - 15*T1^2*T2^10 + 90*T1^3*T2^10 + 205*T1^4*T2^10 - 
      1011*T1^5*T2^10 + 127*T1^6*T2^10 + 730*T1^7*T2^10 - 2920*T1^8*T2^10 + 
      2150*T1^9*T2^10 - 880*T1^10*T2^10 - 1250*T1^11*T2^10 - 83*T1^12*T2^10 + 
      519*T1^13*T2^10 - 1175*T1^14*T2^10 + 150*T1^15*T2^10 + 75*T1^16*T2^10 - 
      174*T1^4*T2^11 + 302*T1^5*T2^11 + 739*T1^6*T2^11 - 929*T1^7*T2^11 + 
      1202*T1^8*T2^11 + 745*T1^9*T2^11 - 1250*T1^10*T2^11 + 
      1182*T1^11*T2^11 + 1143*T1^12*T2^11 - 1341*T1^13*T2^11 + 
      1184*T1^14*T2^11 + 54*T1^15*T2^11 - 125*T1^16*T2^11 + 29*T1^4*T2^12 + 
      126*T1^5*T2^12 - 695*T1^6*T2^12 + 359*T1^7*T2^12 - 37*T1^8*T2^12 - 
      853*T1^9*T2^12 - 83*T1^10*T2^12 + 1143*T1^11*T2^12 - 2489*T1^12*T2^12 + 
      1659*T1^13*T2^12 - 755*T1^14*T2^12 - 270*T1^15*T2^12 + 
      145*T1^16*T2^12 - 50*T1^5*T2^13 + 30*T1^6*T2^13 + 511*T1^7*T2^13 - 
      775*T1^8*T2^13 + 684*T1^9*T2^13 + 519*T1^10*T2^13 - 1341*T1^11*T2^13 + 
      1659*T1^12*T2^13 - 715*T1^13*T2^13 + 16*T1^14*T2^13 + 390*T1^15*T2^13 - 
      125*T1^16*T2^13 + 45*T1^6*T2^14 - 126*T1^7*T2^14 - 114*T1^8*T2^14 + 
      586*T1^9*T2^14 - 1175*T1^10*T2^14 + 1184*T1^11*T2^14 - 
      755*T1^12*T2^14 + 16*T1^13*T2^14 + 306*T1^14*T2^14 - 306*T1^15*T2^14 + 
      75*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 180*T1^9*T2^15 + 
      150*T1^10*T2^15 + 54*T1^11*T2^15 - 270*T1^12*T2^15 + 390*T1^13*T2^15 - 
      306*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 
      30*T1^9*T2^16 + 75*T1^10*T2^16 - 125*T1^11*T2^16 + 145*T1^12*T2^16 - 
      125*T1^13*T2^16 + 75*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 147] -> 
  {-((1 - 6*T + 17*T^2 - 32*T^3 + 39*T^4 - 32*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 85*T1^2 + 160*T1^3 - 195*T1^4 + 160*T1^5 - 
      85*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 
      552*T1^3*T2 + 402*T1^4*T2 - 24*T1^5*T2 - 258*T1^6*T2 + 228*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 632*T1^2*T2^2 + 
      577*T1^3*T2^2 + 428*T1^4*T2^2 - 1268*T1^5*T2^2 + 1176*T1^6*T2^2 - 
      307*T1^7*T2^2 - 88*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 
      160*T2^3 - 552*T1*T2^3 + 577*T1^2*T2^3 + 52*T1^3*T2^3 - 
      2011*T1^4*T2^3 + 2102*T1^5*T2^3 - 436*T1^6*T2^3 - 1333*T1^7*T2^3 + 
      874*T1^8*T2^3 - 341*T1^9*T2^3 - 78*T1^10*T2^3 + 64*T1^11*T2^3 - 
      195*T2^4 + 402*T1*T2^4 + 428*T1^2*T2^4 - 2011*T1^3*T2^4 + 
      4492*T1^4*T2^4 - 2219*T1^5*T2^4 - 1050*T1^6*T2^4 + 2173*T1^7*T2^4 + 
      436*T1^8*T2^4 - 859*T1^9*T2^4 + 776*T1^10*T2^4 - 150*T1^11*T2^4 - 
      39*T1^12*T2^4 + 160*T2^5 - 24*T1*T2^5 - 1268*T1^2*T2^5 + 
      2102*T1^3*T2^5 - 2219*T1^4*T2^5 - 3820*T1^5*T2^5 + 5698*T1^6*T2^5 - 
      2208*T1^7*T2^5 - 3474*T1^8*T2^5 + 2195*T1^9*T2^5 - 904*T1^10*T2^5 - 
      320*T1^11*T2^5 + 234*T1^12*T2^5 - 85*T2^6 - 258*T1*T2^6 + 
      1176*T1^2*T2^6 - 436*T1^3*T2^6 - 1050*T1^4*T2^6 + 5698*T1^5*T2^6 - 
      346*T1^6*T2^6 - 7728*T1^7*T2^6 + 10490*T1^8*T2^6 - 2858*T1^9*T2^6 - 
      432*T1^10*T2^6 + 1400*T1^11*T2^6 - 372*T1^12*T2^6 - 102*T1^13*T2^6 + 
      17*T1^14*T2^6 + 30*T2^7 + 228*T1*T2^7 - 307*T1^2*T2^7 - 
      1333*T1^3*T2^7 + 2173*T1^4*T2^7 - 2208*T1^5*T2^7 - 7728*T1^6*T2^7 + 
      12788*T1^7*T2^7 - 7288*T1^8*T2^7 - 3900*T1^9*T2^7 + 4398*T1^10*T2^7 - 
      2153*T1^11*T2^7 - 115*T1^12*T2^7 + 407*T1^13*T2^7 - 30*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 88*T1^2*T2^8 + 874*T1^3*T2^8 + 
      436*T1^4*T2^8 - 3474*T1^5*T2^8 + 10490*T1^6*T2^8 - 7288*T1^7*T2^8 - 
      3912*T1^8*T2^8 + 11120*T1^9*T2^8 - 5606*T1^10*T2^8 + 470*T1^11*T2^8 + 
      1200*T1^12*T2^8 - 598*T1^13*T2^8 - 92*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 162*T1^2*T2^9 - 341*T1^3*T2^9 - 
      859*T1^4*T2^9 + 2195*T1^5*T2^9 - 2858*T1^6*T2^9 - 3900*T1^7*T2^9 + 
      11120*T1^8*T2^9 - 8956*T1^9*T2^9 - 72*T1^10*T2^9 + 3748*T1^11*T2^9 - 
      2131*T1^12*T2^9 + 359*T1^13*T2^9 + 373*T1^14*T2^9 - 96*T1^15*T2^9 - 
      18*T1^16*T2^9 - 51*T1^2*T2^10 - 78*T1^3*T2^10 + 776*T1^4*T2^10 - 
      904*T1^5*T2^10 - 432*T1^6*T2^10 + 4398*T1^7*T2^10 - 5606*T1^8*T2^10 - 
      72*T1^9*T2^10 + 5230*T1^10*T2^10 - 4158*T1^11*T2^10 + 186*T1^12*T2^10 + 
      932*T1^13*T2^10 - 772*T1^14*T2^10 + 78*T1^15*T2^10 + 51*T1^16*T2^10 + 
      64*T1^3*T2^11 - 150*T1^4*T2^11 - 320*T1^5*T2^11 + 1400*T1^6*T2^11 - 
      2153*T1^7*T2^11 + 470*T1^8*T2^11 + 3748*T1^9*T2^11 - 4158*T1^10*T2^11 + 
      816*T1^11*T2^11 + 2261*T1^12*T2^11 - 1606*T1^13*T2^11 + 
      628*T1^14*T2^11 + 108*T1^15*T2^11 - 96*T1^16*T2^11 - 39*T1^4*T2^12 + 
      234*T1^5*T2^12 - 372*T1^6*T2^12 - 115*T1^7*T2^12 + 1200*T1^8*T2^12 - 
      2131*T1^9*T2^12 + 186*T1^10*T2^12 + 2261*T1^11*T2^12 - 
      2856*T1^12*T2^12 + 1037*T1^13*T2^12 - 24*T1^14*T2^12 - 
      318*T1^15*T2^12 + 117*T1^16*T2^12 - 102*T1^6*T2^13 + 407*T1^7*T2^13 - 
      598*T1^8*T2^13 + 359*T1^9*T2^13 + 932*T1^10*T2^13 - 1606*T1^11*T2^13 + 
      1037*T1^12*T2^13 + 224*T1^13*T2^13 - 511*T1^14*T2^13 + 
      372*T1^15*T2^13 - 96*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 
      92*T1^8*T2^14 + 373*T1^9*T2^14 - 772*T1^10*T2^14 + 628*T1^11*T2^14 - 
      24*T1^12*T2^14 - 511*T1^13*T2^14 + 452*T1^14*T2^14 - 234*T1^15*T2^14 + 
      51*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 
      78*T1^10*T2^15 + 108*T1^11*T2^15 - 318*T1^12*T2^15 + 372*T1^13*T2^15 - 
      234*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 51*T1^10*T2^16 - 96*T1^11*T2^16 + 117*T1^12*T2^16 - 
      96*T1^13*T2^16 + 51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 148] -> 
  {-((7 - 29*T + 43*T^2 - 29*T^3 + 7*T^4)/T^2), 
   -((-1120 + 4636*T1 - 6854*T1^2 + 4636*T1^3 - 1120*T1^4 + 4636*T2 - 
      15991*T1*T2 + 15089*T1^2*T2 + 473*T1^3*T2 - 8683*T1^4*T2 + 
      3215*T1^5*T2 - 6854*T2^2 + 15089*T1*T2^2 + 10473*T1^2*T2^2 - 
      42151*T1^3*T2^2 + 32145*T1^4*T2^2 - 2369*T1^5*T2^2 - 2640*T1^6*T2^2 + 
      4636*T2^3 + 473*T1*T2^3 - 42151*T1^2*T2^3 + 56356*T1^3*T2^3 - 
      11504*T1^4*T2^3 - 23446*T1^5*T2^3 + 9405*T1^6*T2^3 + 373*T1^7*T2^3 - 
      1120*T2^4 - 8683*T1*T2^4 + 32145*T1^2*T2^4 - 11504*T1^3*T2^4 - 
      38196*T1^4*T2^4 + 43364*T1^5*T2^4 - 8205*T1^6*T2^4 - 2593*T1^7*T2^4 + 
      252*T1^8*T2^4 + 3215*T1*T2^5 - 2369*T1^2*T2^5 - 23446*T1^3*T2^5 + 
      43364*T1^4*T2^5 - 24496*T1^5*T2^5 - 4741*T1^6*T2^5 + 6563*T1^7*T2^5 - 
      1048*T1^8*T2^5 - 2640*T1^2*T2^6 + 9405*T1^3*T2^6 - 8205*T1^4*T2^6 - 
      4741*T1^5*T2^6 + 13467*T1^6*T2^6 - 8053*T1^7*T2^6 + 1574*T1^8*T2^6 + 
      373*T1^3*T2^7 - 2593*T1^4*T2^7 + 6563*T1^5*T2^7 - 8053*T1^6*T2^7 + 
      4715*T1^7*T2^7 - 1048*T1^8*T2^7 + 252*T1^4*T2^8 - 1048*T1^5*T2^8 + 
      1574*T1^6*T2^8 - 1048*T1^7*T2^8 + 252*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 149] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 492*T1^2 + 639*T1^3 - 492*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1026*T1*T2 + 2046*T1^2*T2 - 1596*T1^3*T2 + 60*T1^4*T2 + 
     1038*T1^5*T2 - 690*T1^6*T2 + 149*T1^7*T2 - 492*T2^2 + 2046*T1*T2^2 - 
     2300*T1^2*T2^2 - 2140*T1^3*T2^2 + 6028*T1^4*T2^2 - 5380*T1^5*T2^2 + 
     1060*T1^6*T2^2 + 606*T1^7*T2^2 - 252*T1^8*T2^2 + 639*T2^3 - 
     1596*T1*T2^3 - 2140*T1^2*T2^3 + 11742*T1^3*T2^3 - 12106*T1^4*T2^3 + 
     2906*T1^5*T2^3 + 6216*T1^6*T2^3 - 4120*T1^7*T2^3 + 492*T1^8*T2^3 + 
     171*T1^9*T2^3 - 492*T2^4 + 60*T1*T2^4 + 6028*T1^2*T2^4 - 
     12106*T1^3*T2^4 - 733*T1^4*T2^4 + 17005*T1^5*T2^4 - 19285*T1^6*T2^4 + 
     4742*T1^7*T2^4 + 1996*T1^8*T2^4 - 948*T1^9*T2^4 - 12*T1^10*T2^4 + 
     197*T2^5 + 1038*T1*T2^5 - 5380*T1^2*T2^5 + 2906*T1^3*T2^5 + 
     17005*T1^4*T2^5 - 25340*T1^5*T2^5 + 11710*T1^6*T2^5 + 8545*T1^7*T2^5 - 
     8434*T1^8*T2^5 + 1640*T1^9*T2^5 + 318*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 690*T1*T2^6 + 1060*T1^2*T2^6 + 6216*T1^3*T2^6 - 
     19285*T1^4*T2^6 + 11710*T1^5*T2^6 + 10152*T1^6*T2^6 - 21050*T1^7*T2^6 + 
     9371*T1^8*T2^6 + 960*T1^9*T2^6 - 1532*T1^10*T2^6 + 174*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 606*T1^2*T2^7 - 4120*T1^3*T2^7 + 
     4742*T1^4*T2^7 + 8545*T1^5*T2^7 - 21050*T1^6*T2^7 + 16000*T1^7*T2^7 + 
     85*T1^8*T2^7 - 6598*T1^9*T2^7 + 2900*T1^10*T2^7 - 114*T1^11*T2^7 - 
     91*T1^12*T2^7 - 252*T1^2*T2^8 + 492*T1^3*T2^8 + 1996*T1^4*T2^8 - 
     8434*T1^5*T2^8 + 9371*T1^6*T2^8 + 85*T1^7*T2^8 - 9181*T1^8*T2^8 + 
     8414*T1^9*T2^8 - 2036*T1^10*T2^8 - 516*T1^11*T2^8 + 228*T1^12*T2^8 + 
     171*T1^3*T2^9 - 948*T1^4*T2^9 + 1640*T1^5*T2^9 + 960*T1^6*T2^9 - 
     6598*T1^7*T2^9 + 8414*T1^8*T2^9 - 4566*T1^9*T2^9 - 340*T1^10*T2^9 + 
     1140*T1^11*T2^9 - 297*T1^12*T2^9 - 12*T1^4*T2^10 + 318*T1^5*T2^10 - 
     1532*T1^6*T2^10 + 2900*T1^7*T2^10 - 2036*T1^8*T2^10 - 340*T1^9*T2^10 + 
     1828*T1^10*T2^10 - 1122*T1^11*T2^10 + 228*T1^12*T2^10 - 43*T1^5*T2^11 + 
     174*T1^6*T2^11 - 114*T1^7*T2^11 - 516*T1^8*T2^11 + 1140*T1^9*T2^11 - 
     1122*T1^10*T2^11 + 510*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 228*T1^8*T2^12 - 297*T1^9*T2^12 + 228*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 150] -> 
  {-((2 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-7 + 47*T1 - 108*T1^2 + 139*T1^3 - 108*T1^4 + 47*T1^5 - 7*T1^6 + 
      47*T2 - 320*T1*T2 + 744*T1^2*T2 - 960*T1^3*T2 + 756*T1^4*T2 - 
      348*T1^5*T2 + 70*T1^6*T2 - 5*T1^7*T2 - 108*T2^2 + 744*T1*T2^2 - 
      1526*T1^2*T2^2 + 1198*T1^3*T2^2 + 290*T1^4*T2^2 - 1586*T1^5*T2^2 + 
      1606*T1^6*T2^2 - 764*T1^7*T2^2 + 124*T1^8*T2^2 + 139*T2^3 - 
      960*T1*T2^3 + 1198*T1^2*T2^3 + 2255*T1^3*T2^3 - 7075*T1^4*T2^3 + 
      8483*T1^5*T2^3 - 4921*T1^6*T2^3 + 415*T1^7*T2^3 + 1172*T1^8*T2^3 - 
      305*T1^9*T2^3 - 108*T2^4 + 756*T1*T2^4 + 290*T1^2*T2^4 - 
      7075*T1^3*T2^4 + 10700*T1^4*T2^4 - 4866*T1^5*T2^4 - 6124*T1^6*T2^4 + 
      10315*T1^7*T2^4 - 5488*T1^8*T2^4 - 336*T1^9*T2^4 + 356*T1^10*T2^4 + 
      47*T2^5 - 348*T1*T2^5 - 1586*T1^2*T2^5 + 8483*T1^3*T2^5 - 
      4866*T1^4*T2^5 - 8202*T1^5*T2^5 + 17064*T1^6*T2^5 - 9593*T1^7*T2^5 - 
      3411*T1^8*T2^5 + 7201*T1^9*T2^5 - 920*T1^10*T2^5 - 213*T1^11*T2^5 - 
      7*T2^6 + 70*T1*T2^6 + 1606*T1^2*T2^6 - 4921*T1^3*T2^6 - 
      6124*T1^4*T2^6 + 17064*T1^5*T2^6 - 13056*T1^6*T2^6 - 5364*T1^7*T2^6 + 
      14974*T1^8*T2^6 - 8071*T1^9*T2^6 - 3122*T1^10*T2^6 + 1110*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 764*T1^2*T2^7 + 415*T1^3*T2^7 + 
      10315*T1^4*T2^7 - 9593*T1^5*T2^7 - 5364*T1^6*T2^7 + 19902*T1^7*T2^7 - 
      14320*T1^8*T2^7 - 1579*T1^9*T2^7 + 9202*T1^10*T2^7 - 1336*T1^11*T2^7 - 
      265*T1^12*T2^7 + 124*T1^2*T2^8 + 1172*T1^3*T2^8 - 5488*T1^4*T2^8 - 
      3411*T1^5*T2^8 + 14974*T1^6*T2^8 - 14320*T1^7*T2^8 - 1850*T1^8*T2^8 + 
      13979*T1^9*T2^8 - 11266*T1^10*T2^8 + 80*T1^11*T2^8 + 588*T1^12*T2^8 - 
      305*T1^3*T2^9 - 336*T1^4*T2^9 + 7201*T1^5*T2^9 - 8071*T1^6*T2^9 - 
      1579*T1^7*T2^9 + 13979*T1^8*T2^9 - 15247*T1^9*T2^9 + 6418*T1^10*T2^9 + 
      1796*T1^11*T2^9 - 749*T1^12*T2^9 + 356*T1^4*T2^10 - 920*T1^5*T2^10 - 
      3122*T1^6*T2^10 + 9202*T1^7*T2^10 - 11266*T1^8*T2^10 + 
      6418*T1^9*T2^10 + 10*T1^10*T2^10 - 2428*T1^11*T2^10 + 588*T1^12*T2^10 - 
      213*T1^5*T2^11 + 1110*T1^6*T2^11 - 1336*T1^7*T2^11 + 80*T1^8*T2^11 + 
      1796*T1^9*T2^11 - 2428*T1^10*T2^11 + 1500*T1^11*T2^11 - 
      265*T1^12*T2^11 + 41*T1^6*T2^12 - 265*T1^7*T2^12 + 588*T1^8*T2^12 - 
      749*T1^9*T2^12 + 588*T1^10*T2^12 - 265*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 151] -> 
  {-((1 - 6*T + 15*T^2 - 26*T^3 + 31*T^4 - 26*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 45*T1^2 + 78*T1^3 - 93*T1^4 + 78*T1^5 - 45*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 198*T1^2*T2 - 288*T1^3*T2 + 
      246*T1^4*T2 - 96*T1^5*T2 - 42*T1^6*T2 + 72*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 45*T2^2 + 198*T1*T2^2 - 258*T1^2*T2^2 + 182*T1^3*T2^2 + 
      243*T1^4*T2^2 - 658*T1^5*T2^2 + 723*T1^6*T2^2 - 418*T1^7*T2^2 + 
      162*T1^8*T2^2 + 18*T1^9*T2^2 - 15*T1^10*T2^2 + 78*T2^3 - 288*T1*T2^3 + 
      182*T1^2*T2^3 + 116*T1^3*T2^3 - 864*T1^4*T2^3 + 1177*T1^5*T2^3 - 
      755*T1^6*T2^3 - 60*T1^7*T2^3 + 332*T1^8*T2^3 - 358*T1^9*T2^3 + 
      90*T1^10*T2^3 - 93*T2^4 + 246*T1*T2^4 + 243*T1^2*T2^4 - 864*T1^3*T2^4 + 
      1817*T1^4*T2^4 - 1678*T1^5*T2^4 + 469*T1^6*T2^4 + 834*T1^7*T2^4 - 
      703*T1^8*T2^4 + 280*T1^9*T2^4 + 231*T1^10*T2^4 - 186*T1^11*T2^4 + 
      31*T1^12*T2^4 + 78*T2^5 - 96*T1*T2^5 - 658*T1^2*T2^5 + 1177*T1^3*T2^5 - 
      1678*T1^4*T2^5 + 790*T1^5*T2^5 + 789*T1^6*T2^5 - 1293*T1^7*T2^5 - 
      356*T1^8*T2^5 + 1168*T1^9*T2^5 - 1083*T1^10*T2^5 + 350*T1^11*T2^5 + 
      126*T1^12*T2^5 - 52*T1^13*T2^5 - 45*T2^6 - 42*T1*T2^6 + 723*T1^2*T2^6 - 
      755*T1^3*T2^6 + 469*T1^4*T2^6 + 789*T1^5*T2^6 - 1931*T1^6*T2^6 + 
      761*T1^7*T2^6 + 1729*T1^8*T2^6 - 1431*T1^9*T2^6 + 55*T1^10*T2^6 + 
      685*T1^11*T2^6 - 741*T1^12*T2^6 + 42*T1^13*T2^6 + 45*T1^14*T2^6 + 
      18*T2^7 + 72*T1*T2^7 - 418*T1^2*T2^7 - 60*T1^3*T2^7 + 834*T1^4*T2^7 - 
      1293*T1^5*T2^7 + 761*T1^6*T2^7 + 2606*T1^7*T2^7 - 4522*T1^8*T2^7 + 
      2037*T1^9*T2^7 + 513*T1^10*T2^7 - 676*T1^11*T2^7 + 496*T1^12*T2^7 + 
      482*T1^13*T2^7 - 126*T1^14*T2^7 - 24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 
      162*T1^2*T2^8 + 332*T1^3*T2^8 - 703*T1^4*T2^8 - 356*T1^5*T2^8 + 
      1729*T1^6*T2^8 - 4522*T1^7*T2^8 + 2700*T1^8*T2^8 + 2086*T1^9*T2^8 - 
      3807*T1^10*T2^8 + 1660*T1^11*T2^8 - 683*T1^12*T2^8 - 684*T1^13*T2^8 - 
      114*T1^14*T2^8 + 114*T1^15*T2^8 + 5*T1^16*T2^8 + 12*T1*T2^9 + 
      18*T1^2*T2^9 - 358*T1^3*T2^9 + 280*T1^4*T2^9 + 1168*T1^5*T2^9 - 
      1431*T1^6*T2^9 + 2037*T1^7*T2^9 + 2086*T1^8*T2^9 - 5042*T1^9*T2^9 + 
      3313*T1^10*T2^9 + 375*T1^11*T2^9 - 342*T1^12*T2^9 + 836*T1^13*T2^9 + 
      542*T1^14*T2^9 - 180*T1^15*T2^9 - 30*T1^16*T2^9 - 15*T1^2*T2^10 + 
      90*T1^3*T2^10 + 231*T1^4*T2^10 - 1083*T1^5*T2^10 + 55*T1^6*T2^10 + 
      513*T1^7*T2^10 - 3807*T1^8*T2^10 + 3313*T1^9*T2^10 - 147*T1^10*T2^10 - 
      1707*T1^11*T2^10 - 359*T1^12*T2^10 + 357*T1^13*T2^10 - 
      1233*T1^14*T2^10 + 174*T1^15*T2^10 + 75*T1^16*T2^10 - 186*T1^4*T2^11 + 
      350*T1^5*T2^11 + 685*T1^6*T2^11 - 676*T1^7*T2^11 + 1660*T1^8*T2^11 + 
      375*T1^9*T2^11 - 1707*T1^10*T2^11 + 514*T1^11*T2^11 + 
      2170*T1^12*T2^11 - 1575*T1^13*T2^11 + 1358*T1^14*T2^11 + 
      36*T1^15*T2^11 - 130*T1^16*T2^11 + 31*T1^4*T2^12 + 126*T1^5*T2^12 - 
      741*T1^6*T2^12 + 496*T1^7*T2^12 - 683*T1^8*T2^12 - 342*T1^9*T2^12 - 
      359*T1^10*T2^12 + 2170*T1^11*T2^12 - 3203*T1^12*T2^12 + 
      1640*T1^13*T2^12 - 753*T1^14*T2^12 - 306*T1^15*T2^12 + 
      155*T1^16*T2^12 - 52*T1^5*T2^13 + 42*T1^6*T2^13 + 482*T1^7*T2^13 - 
      684*T1^8*T2^13 + 836*T1^9*T2^13 + 357*T1^10*T2^13 - 1575*T1^11*T2^13 + 
      1640*T1^12*T2^13 - 468*T1^13*T2^13 - 58*T1^14*T2^13 + 420*T1^15*T2^13 - 
      130*T1^16*T2^13 + 45*T1^6*T2^14 - 126*T1^7*T2^14 - 114*T1^8*T2^14 + 
      542*T1^9*T2^14 - 1233*T1^10*T2^14 + 1358*T1^11*T2^14 - 
      753*T1^12*T2^14 - 58*T1^13*T2^14 + 306*T1^14*T2^14 - 306*T1^15*T2^14 + 
      75*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 180*T1^9*T2^15 + 
      174*T1^10*T2^15 + 36*T1^11*T2^15 - 306*T1^12*T2^15 + 420*T1^13*T2^15 - 
      306*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 
      30*T1^9*T2^16 + 75*T1^10*T2^16 - 130*T1^11*T2^16 + 155*T1^12*T2^16 - 
      130*T1^13*T2^16 + 75*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 152] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((-23 + 138*T1 - 310*T1^2 + 401*T1^3 - 310*T1^4 + 138*T1^5 - 23*T1^6 + 
      138*T2 - 738*T1*T2 + 1320*T1^2*T2 - 1194*T1^3*T2 + 294*T1^4*T2 + 
      384*T1^5*T2 - 402*T1^6*T2 + 90*T1^7*T2 - 310*T2^2 + 1320*T1*T2^2 - 
      1026*T1^2*T2^2 - 1335*T1^3*T2^2 + 4000*T1^4*T2^2 - 3819*T1^5*T2^2 + 
      1674*T1^6*T2^2 + 24*T1^7*T2^2 - 94*T1^8*T2^2 + 401*T2^3 - 
      1194*T1*T2^3 - 1335*T1^2*T2^3 + 6090*T1^3*T2^3 - 8093*T1^4*T2^3 + 
      3805*T1^5*T2^3 + 1224*T1^6*T2^3 - 2469*T1^7*T2^3 + 678*T1^8*T2^3 - 
      19*T1^9*T2^3 - 310*T2^4 + 294*T1*T2^4 + 4000*T1^2*T2^4 - 
      8093*T1^3*T2^4 + 4880*T1^4*T2^4 + 4628*T1^5*T2^4 - 9040*T1^6*T2^4 + 
      5347*T1^7*T2^4 - 248*T1^8*T2^4 - 618*T1^9*T2^4 + 122*T1^10*T2^4 + 
      138*T2^5 + 384*T1*T2^5 - 3819*T1^2*T2^5 + 3805*T1^3*T2^5 + 
      4628*T1^4*T2^5 - 12747*T1^5*T2^5 + 9615*T1^6*T2^5 + 497*T1^7*T2^5 - 
      5009*T1^8*T2^5 + 2715*T1^9*T2^5 - 120*T1^10*T2^5 - 102*T1^11*T2^5 - 
      23*T2^6 - 402*T1*T2^6 + 1674*T1^2*T2^6 + 1224*T1^3*T2^6 - 
      9040*T1^4*T2^6 + 9615*T1^5*T2^6 + 60*T1^6*T2^6 - 9807*T1^7*T2^6 + 
      7898*T1^8*T2^6 - 1560*T1^9*T2^6 - 1674*T1^10*T2^6 + 462*T1^11*T2^6 + 
      25*T1^12*T2^6 + 90*T1*T2^7 + 24*T1^2*T2^7 - 2469*T1^3*T2^7 + 
      5347*T1^4*T2^7 + 497*T1^5*T2^7 - 9807*T1^6*T2^7 + 12555*T1^7*T2^7 - 
      3634*T1^8*T2^7 - 3467*T1^9*T2^7 + 4065*T1^10*T2^7 - 480*T1^11*T2^7 - 
      150*T1^12*T2^7 - 94*T1^2*T2^8 + 678*T1^3*T2^8 - 248*T1^4*T2^8 - 
      5009*T1^5*T2^8 + 7898*T1^6*T2^8 - 3634*T1^7*T2^8 - 6022*T1^8*T2^8 + 
      8431*T1^9*T2^8 - 4496*T1^10*T2^8 - 234*T1^11*T2^8 + 338*T1^12*T2^8 - 
      19*T1^3*T2^9 - 618*T1^4*T2^9 + 2715*T1^5*T2^9 - 1560*T1^6*T2^9 - 
      3467*T1^7*T2^9 + 8431*T1^8*T2^9 - 6426*T1^9*T2^9 + 1581*T1^10*T2^9 + 
      1254*T1^11*T2^9 - 439*T1^12*T2^9 + 122*T1^4*T2^10 - 120*T1^5*T2^10 - 
      1674*T1^6*T2^10 + 4065*T1^7*T2^10 - 4496*T1^8*T2^10 + 1581*T1^9*T2^10 + 
      1026*T1^10*T2^10 - 1416*T1^11*T2^10 + 338*T1^12*T2^10 - 
      102*T1^5*T2^11 + 462*T1^6*T2^11 - 480*T1^7*T2^11 - 234*T1^8*T2^11 + 
      1254*T1^9*T2^11 - 1416*T1^10*T2^11 + 798*T1^11*T2^11 - 
      150*T1^12*T2^11 + 25*T1^6*T2^12 - 150*T1^7*T2^12 + 338*T1^8*T2^12 - 
      439*T1^9*T2^12 + 338*T1^10*T2^12 - 150*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 153] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 125*T1 - 250*T1^2 + 313*T1^3 - 250*T1^4 + 125*T1^5 - 25*T1^6 + 
      125*T2 - 540*T1*T2 + 825*T1^2*T2 - 715*T1^3*T2 + 185*T1^4*T2 + 
      225*T1^5*T2 - 300*T1^6*T2 + 85*T1^7*T2 - 250*T2^2 + 825*T1*T2^2 - 
      465*T1^2*T2^2 - 653*T1^3*T2^2 + 1895*T1^4*T2^2 - 1853*T1^5*T2^2 + 
      975*T1^6*T2^2 + 25*T1^7*T2^2 - 90*T1^8*T2^2 + 313*T2^3 - 715*T1*T2^3 - 
      653*T1^2*T2^3 + 2226*T1^3*T2^3 - 3004*T1^4*T2^3 + 1496*T1^5*T2^3 + 
      276*T1^6*T2^3 - 1253*T1^7*T2^3 + 385*T1^8*T2^3 + 13*T1^9*T2^3 - 
      250*T2^4 + 185*T1*T2^4 + 1895*T1^2*T2^4 - 3004*T1^3*T2^4 + 
      2674*T1^4*T2^4 + 92*T1^5*T2^4 - 1946*T1^6*T2^4 + 1996*T1^7*T2^4 + 
      95*T1^8*T2^4 - 415*T1^9*T2^4 + 70*T1^10*T2^4 + 125*T2^5 + 225*T1*T2^5 - 
      1853*T1^2*T2^5 + 1496*T1^3*T2^5 + 92*T1^4*T2^5 - 2802*T1^5*T2^5 + 
      2898*T1^6*T2^5 - 708*T1^7*T2^5 - 2004*T1^8*T2^5 + 1147*T1^9*T2^5 + 
      25*T1^10*T2^5 - 75*T1^11*T2^5 - 25*T2^6 - 300*T1*T2^6 + 975*T1^2*T2^6 + 
      276*T1^3*T2^6 - 1946*T1^4*T2^6 + 2898*T1^5*T2^6 - 828*T1^6*T2^6 - 
      2142*T1^7*T2^6 + 2934*T1^8*T2^6 - 324*T1^9*T2^6 - 945*T1^10*T2^6 + 
      260*T1^11*T2^6 + 23*T1^12*T2^6 + 85*T1*T2^7 + 25*T1^2*T2^7 - 
      1253*T1^3*T2^7 + 1996*T1^4*T2^7 - 708*T1^5*T2^7 - 2142*T1^6*T2^7 + 
      3558*T1^7*T2^7 - 1508*T1^8*T2^7 - 1504*T1^9*T2^7 + 1747*T1^10*T2^7 - 
      175*T1^11*T2^7 - 115*T1^12*T2^7 - 90*T1^2*T2^8 + 385*T1^3*T2^8 + 
      95*T1^4*T2^8 - 2004*T1^5*T2^8 + 2934*T1^6*T2^8 - 1508*T1^7*T2^8 - 
      1686*T1^8*T2^8 + 2996*T1^9*T2^8 - 1705*T1^10*T2^8 - 215*T1^11*T2^8 + 
      230*T1^12*T2^8 + 13*T1^3*T2^9 - 415*T1^4*T2^9 + 1147*T1^5*T2^9 - 
      324*T1^6*T2^9 - 1504*T1^7*T2^9 + 2996*T1^8*T2^9 - 2274*T1^9*T2^9 + 
      547*T1^10*T2^9 + 685*T1^11*T2^9 - 287*T1^12*T2^9 + 70*T1^4*T2^10 + 
      25*T1^5*T2^10 - 945*T1^6*T2^10 + 1747*T1^7*T2^10 - 1705*T1^8*T2^10 + 
      547*T1^9*T2^10 + 495*T1^10*T2^10 - 775*T1^11*T2^10 + 230*T1^12*T2^10 - 
      75*T1^5*T2^11 + 260*T1^6*T2^11 - 175*T1^7*T2^11 - 215*T1^8*T2^11 + 
      685*T1^9*T2^11 - 775*T1^10*T2^11 + 500*T1^11*T2^11 - 115*T1^12*T2^11 + 
      23*T1^6*T2^12 - 115*T1^7*T2^12 + 230*T1^8*T2^12 - 287*T1^9*T2^12 + 
      230*T1^10*T2^12 - 115*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 154] -> 
  {-((4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4)/T^2), 
   -((-192 + 808*T1 - 1184*T1^2 + 808*T1^3 - 192*T1^4 + 808*T2 - 2860*T1*T2 + 
      2736*T1^2*T2 - 120*T1^3*T2 - 1432*T1^4*T2 + 536*T1^5*T2 - 1184*T2^2 + 
      2736*T1*T2^2 + 1668*T1^2*T2^2 - 7122*T1^3*T2^2 + 5868*T1^4*T2^2 - 
      664*T1^5*T2^2 - 384*T1^6*T2^2 + 808*T2^3 - 120*T1*T2^3 - 
      7122*T1^2*T2^3 + 10177*T1^3*T2^3 - 3389*T1^4*T2^3 - 3297*T1^5*T2^3 + 
      1648*T1^6*T2^3 - 8*T1^7*T2^3 - 192*T2^4 - 1432*T1*T2^4 + 
      5868*T1^2*T2^4 - 3389*T1^3*T2^4 - 5028*T1^4*T2^4 + 7661*T1^5*T2^4 - 
      2358*T1^6*T2^4 - 208*T1^7*T2^4 + 64*T1^8*T2^4 + 536*T1*T2^5 - 
      664*T1^2*T2^5 - 3297*T1^3*T2^5 + 7661*T1^4*T2^5 - 5905*T1^5*T2^5 + 
      528*T1^6*T2^5 + 1104*T1^7*T2^5 - 280*T1^8*T2^5 - 384*T1^2*T2^6 + 
      1648*T1^3*T2^6 - 2358*T1^4*T2^6 + 528*T1^5*T2^6 + 1842*T1^6*T2^6 - 
      1752*T1^7*T2^6 + 416*T1^8*T2^6 - 8*T1^3*T2^7 - 208*T1^4*T2^7 + 
      1104*T1^5*T2^7 - 1752*T1^6*T2^7 + 1220*T1^7*T2^7 - 280*T1^8*T2^7 + 
      64*T1^4*T2^8 - 280*T1^5*T2^8 + 416*T1^6*T2^8 - 280*T1^7*T2^8 + 
      64*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 155] -> 
  {(3 - 16*T + 40*T^2 - 53*T^3 + 40*T^4 - 16*T^5 + 3*T^6)/T^3, 
   (-51 + 277*T1 - 696*T1^2 + 925*T1^3 - 696*T1^4 + 277*T1^5 - 51*T1^6 + 
     277*T2 - 1370*T1*T2 + 3045*T1^2*T2 - 3164*T1^3*T2 + 1300*T1^4*T2 + 
     357*T1^5*T2 - 458*T1^6*T2 + 133*T1^7*T2 - 696*T2^2 + 3045*T1*T2^2 - 
     5450*T1^2*T2^2 + 2380*T1^3*T2^2 + 4164*T1^4*T2^2 - 6500*T1^5*T2^2 + 
     3430*T1^6*T2^2 - 795*T1^7*T2^2 + 24*T1^8*T2^2 + 925*T2^3 - 
     3164*T1*T2^3 + 2380*T1^2*T2^3 + 8505*T1^3*T2^3 - 18894*T1^4*T2^3 + 
     13914*T1^5*T2^3 - 623*T1^6*T2^3 - 4540*T1^7*T2^3 + 2548*T1^8*T2^3 - 
     506*T1^9*T2^3 - 696*T2^4 + 1300*T1*T2^4 + 4164*T1^2*T2^4 - 
     18894*T1^3*T2^4 + 22254*T1^4*T2^4 + 970*T1^5*T2^4 - 22738*T1^6*T2^4 + 
     18418*T1^7*T2^4 - 3772*T1^8*T2^4 - 1292*T1^9*T2^4 + 744*T1^10*T2^4 + 
     277*T2^5 + 357*T1*T2^5 - 6500*T1^2*T2^5 + 13914*T1^3*T2^5 + 
     970*T1^4*T2^5 - 41592*T1^5*T2^5 + 52608*T1^6*T2^5 - 19830*T1^7*T2^5 - 
     9886*T1^8*T2^5 + 8260*T1^9*T2^5 - 1563*T1^10*T2^5 - 443*T1^11*T2^5 - 
     51*T2^6 - 458*T1*T2^6 + 3430*T1^2*T2^6 - 623*T1^3*T2^6 - 
     22738*T1^4*T2^6 + 52608*T1^5*T2^6 - 26676*T1^6*T2^6 - 28768*T1^7*T2^6 + 
     43550*T1^8*T2^6 - 13725*T1^9*T2^6 - 1194*T1^10*T2^6 + 1750*T1^11*T2^6 + 
     111*T1^12*T2^6 + 133*T1*T2^7 - 795*T1^2*T2^7 - 4540*T1^3*T2^7 + 
     18418*T1^4*T2^7 - 19830*T1^5*T2^7 - 28768*T1^6*T2^7 + 65432*T1^7*T2^7 - 
     40630*T1^8*T2^7 - 5382*T1^9*T2^7 + 10220*T1^10*T2^7 - 2715*T1^11*T2^7 - 
     587*T1^12*T2^7 + 24*T1^2*T2^8 + 2548*T1^3*T2^8 - 3772*T1^4*T2^8 - 
     9886*T1^5*T2^8 + 43550*T1^6*T2^8 - 40630*T1^7*T2^8 - 1442*T1^8*T2^8 + 
     27426*T1^9*T2^8 - 11708*T1^10*T2^8 - 44*T1^11*T2^8 + 1464*T1^12*T2^8 - 
     506*T1^3*T2^9 - 1292*T1^4*T2^9 + 8260*T1^5*T2^9 - 13725*T1^6*T2^9 - 
     5382*T1^7*T2^9 + 27426*T1^8*T2^9 - 22853*T1^9*T2^9 + 1340*T1^10*T2^9 + 
     4420*T1^11*T2^9 - 1937*T1^12*T2^9 + 744*T1^4*T2^10 - 1563*T1^5*T2^10 - 
     1194*T1^6*T2^10 + 10220*T1^7*T2^10 - 11708*T1^8*T2^10 + 
     1340*T1^9*T2^10 + 7686*T1^10*T2^10 - 5403*T1^11*T2^10 + 
     1464*T1^12*T2^10 - 443*T1^5*T2^11 + 1750*T1^6*T2^11 - 2715*T1^7*T2^11 - 
     44*T1^8*T2^11 + 4420*T1^9*T2^11 - 5403*T1^10*T2^11 + 2662*T1^11*T2^11 - 
     587*T1^12*T2^11 + 111*T1^6*T2^12 - 587*T1^7*T2^12 + 1464*T1^8*T2^12 - 
     1937*T1^9*T2^12 + 1464*T1^10*T2^12 - 587*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 156] -> 
  {-((1 - 5*T + 11*T^2 - 18*T^3 + 21*T^4 - 18*T^5 + 11*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 33*T1^2 + 54*T1^3 - 63*T1^4 + 54*T1^5 - 33*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 115*T1^2*T2 - 160*T1^3*T2 + 
      135*T1^4*T2 - 60*T1^5*T2 - 15*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 102*T1^3*T2^2 + 
      81*T1^4*T2^2 - 251*T1^5*T2^2 + 301*T1^6*T2^2 - 184*T1^7*T2^2 + 
      95*T1^8*T2^2 + 5*T1^9*T2^2 - 11*T1^10*T2^2 + 54*T2^3 - 160*T1*T2^3 + 
      102*T1^2*T2^3 - 45*T1^3*T2^3 - 228*T1^4*T2^3 + 336*T1^5*T2^3 - 
      243*T1^6*T2^3 - 37*T1^7*T2^3 + 101*T1^8*T2^3 - 162*T1^9*T2^3 + 
      55*T1^10*T2^3 - 63*T2^4 + 135*T1*T2^4 + 81*T1^2*T2^4 - 228*T1^3*T2^4 + 
      593*T1^4*T2^4 - 586*T1^5*T2^4 + 309*T1^6*T2^4 + 122*T1^7*T2^4 - 
      67*T1^8*T2^4 + 60*T1^9*T2^4 + 105*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 54*T2^5 - 60*T1*T2^5 - 251*T1^2*T2^5 + 336*T1^3*T2^5 - 
      586*T1^4*T2^5 + 419*T1^5*T2^5 - 92*T1^6*T2^5 - 119*T1^7*T2^5 - 
      319*T1^8*T2^5 + 341*T1^9*T2^5 - 321*T1^10*T2^5 + 136*T1^11*T2^5 + 
      75*T1^12*T2^5 - 36*T1^13*T2^5 - 33*T2^6 - 15*T1*T2^6 + 301*T1^2*T2^6 - 
      243*T1^3*T2^6 + 309*T1^4*T2^6 - 92*T1^5*T2^6 - 215*T1^6*T2^6 + 
      111*T1^7*T2^6 + 385*T1^8*T2^6 - 86*T1^9*T2^6 - 165*T1^10*T2^6 + 
      219*T1^11*T2^6 - 311*T1^12*T2^6 + 15*T1^13*T2^6 + 33*T1^14*T2^6 + 
      15*T2^7 + 35*T1*T2^7 - 184*T1^2*T2^7 - 37*T1^3*T2^7 + 122*T1^4*T2^7 - 
      119*T1^5*T2^7 + 111*T1^6*T2^7 + 638*T1^7*T2^7 - 1068*T1^8*T2^7 + 
      469*T1^9*T2^7 - 26*T1^10*T2^7 + 71*T1^11*T2^7 + 160*T1^12*T2^7 + 
      212*T1^13*T2^7 - 65*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      95*T1^2*T2^8 + 101*T1^3*T2^8 - 67*T1^4*T2^8 - 319*T1^5*T2^8 + 
      385*T1^6*T2^8 - 1068*T1^7*T2^8 + 516*T1^8*T2^8 + 580*T1^9*T2^8 - 
      971*T1^10*T2^8 + 455*T1^11*T2^8 - 515*T1^12*T2^8 - 165*T1^13*T2^8 - 
      83*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      5*T1^2*T2^9 - 162*T1^3*T2^9 + 60*T1^4*T2^9 + 341*T1^5*T2^9 - 
      86*T1^6*T2^9 + 469*T1^7*T2^9 + 580*T1^8*T2^9 - 1126*T1^9*T2^9 + 
      827*T1^10*T2^9 + 7*T1^11*T2^9 + 290*T1^12*T2^9 + 257*T1^13*T2^9 + 
      234*T1^14*T2^9 - 95*T1^15*T2^9 - 25*T1^16*T2^9 - 11*T1^2*T2^10 + 
      55*T1^3*T2^10 + 105*T1^4*T2^10 - 321*T1^5*T2^10 - 165*T1^6*T2^10 - 
      26*T1^7*T2^10 - 971*T1^8*T2^10 + 827*T1^9*T2^10 - 371*T1^10*T2^10 - 
      20*T1^11*T2^10 - 639*T1^12*T2^10 + 141*T1^13*T2^10 - 507*T1^14*T2^10 + 
      85*T1^15*T2^10 + 55*T1^16*T2^10 - 105*T1^4*T2^11 + 136*T1^5*T2^11 + 
      219*T1^6*T2^11 + 71*T1^7*T2^11 + 455*T1^8*T2^11 + 7*T1^9*T2^11 - 
      20*T1^10*T2^11 - 283*T1^11*T2^11 + 998*T1^12*T2^11 - 438*T1^13*T2^11 + 
      523*T1^14*T2^11 + 30*T1^15*T2^11 - 90*T1^16*T2^11 + 21*T1^4*T2^12 + 
      75*T1^5*T2^12 - 311*T1^6*T2^12 + 160*T1^7*T2^12 - 515*T1^8*T2^12 + 
      290*T1^9*T2^12 - 639*T1^10*T2^12 + 998*T1^11*T2^12 - 1175*T1^12*T2^12 + 
      448*T1^13*T2^12 - 287*T1^14*T2^12 - 165*T1^15*T2^12 + 105*T1^16*T2^12 - 
      36*T1^5*T2^13 + 15*T1^6*T2^13 + 212*T1^7*T2^13 - 165*T1^8*T2^13 + 
      257*T1^9*T2^13 + 141*T1^10*T2^13 - 438*T1^11*T2^13 + 448*T1^12*T2^13 - 
      19*T1^13*T2^13 - 52*T1^14*T2^13 + 230*T1^15*T2^13 - 90*T1^16*T2^13 + 
      33*T1^6*T2^14 - 65*T1^7*T2^14 - 83*T1^8*T2^14 + 234*T1^9*T2^14 - 
      507*T1^10*T2^14 + 523*T1^11*T2^14 - 287*T1^12*T2^14 - 52*T1^13*T2^14 + 
      137*T1^14*T2^14 - 175*T1^15*T2^14 + 55*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 95*T1^9*T2^15 + 85*T1^10*T2^15 + 30*T1^11*T2^15 - 
      165*T1^12*T2^15 + 230*T1^13*T2^15 - 175*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 55*T1^10*T2^16 - 
      90*T1^11*T2^16 + 105*T1^12*T2^16 - 90*T1^13*T2^16 + 55*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 157] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   -((-3 + 18*T1 - 48*T1^2 + 84*T1^3 - 99*T1^4 + 84*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 312*T1^3*T2 + 
      258*T1^4*T2 - 108*T1^5*T2 - 48*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 293*T1^3*T2^2 + 
      162*T1^4*T2^2 - 563*T1^5*T2^2 + 706*T1^6*T2^2 - 411*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 84*T2^3 - 312*T1*T2^3 + 
      293*T1^2*T2^3 + 124*T1^3*T2^3 - 1023*T1^4*T2^3 + 1261*T1^5*T2^3 - 
      899*T1^6*T2^3 - 75*T1^7*T2^3 + 448*T1^8*T2^3 - 379*T1^9*T2^3 + 
      96*T1^10*T2^3 - 99*T2^4 + 258*T1*T2^4 + 162*T1^2*T2^4 - 
      1023*T1^3*T2^4 + 2009*T1^4*T2^4 - 1364*T1^5*T2^4 + 69*T1^6*T2^4 + 
      1444*T1^7*T2^4 - 1159*T1^8*T2^4 + 321*T1^9*T2^4 + 258*T1^10*T2^4 - 
      198*T1^11*T2^4 + 33*T1^12*T2^4 + 84*T2^5 - 108*T1*T2^5 - 
      563*T1^2*T2^5 + 1261*T1^3*T2^5 - 1364*T1^4*T2^5 - 502*T1^5*T2^5 + 
      1955*T1^6*T2^5 - 2317*T1^7*T2^5 + 104*T1^8*T2^5 + 1386*T1^9*T2^5 - 
      1187*T1^10*T2^5 + 313*T1^11*T2^5 + 138*T1^12*T2^5 - 56*T1^13*T2^5 - 
      48*T2^6 - 48*T1*T2^6 + 706*T1^2*T2^6 - 899*T1^3*T2^6 + 69*T1^4*T2^6 + 
      1955*T1^5*T2^6 - 2288*T1^6*T2^6 + 660*T1^7*T2^6 + 2320*T1^8*T2^6 - 
      2461*T1^9*T2^6 + 261*T1^10*T2^6 + 829*T1^11*T2^6 - 734*T1^12*T2^6 + 
      48*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 411*T1^2*T2^7 - 
      75*T1^3*T2^7 + 1444*T1^4*T2^7 - 2317*T1^5*T2^7 + 660*T1^6*T2^7 + 
      2884*T1^7*T2^7 - 4610*T1^8*T2^7 + 2148*T1^9*T2^7 + 1667*T1^10*T2^7 - 
      1538*T1^11*T2^7 + 561*T1^12*T2^7 + 453*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 448*T1^3*T2^8 - 
      1159*T1^4*T2^8 + 104*T1^5*T2^8 + 2320*T1^6*T2^8 - 4610*T1^7*T2^8 + 
      1896*T1^8*T2^8 + 2710*T1^9*T2^8 - 5328*T1^10*T2^8 + 1856*T1^11*T2^8 + 
      33*T1^12*T2^8 - 896*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 379*T1^3*T2^9 + 
      321*T1^4*T2^9 + 1386*T1^5*T2^9 - 2461*T1^6*T2^9 + 2148*T1^7*T2^9 + 
      2710*T1^8*T2^9 - 4784*T1^9*T2^9 + 3636*T1^10*T2^9 + 1523*T1^11*T2^9 - 
      1596*T1^12*T2^9 + 957*T1^13*T2^9 + 485*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 258*T1^4*T2^10 - 
      1187*T1^5*T2^10 + 261*T1^6*T2^10 + 1667*T1^7*T2^10 - 5328*T1^8*T2^10 + 
      3636*T1^9*T2^10 - 720*T1^10*T2^10 - 2749*T1^11*T2^10 + 
      453*T1^12*T2^10 + 541*T1^13*T2^10 - 1182*T1^14*T2^10 + 
      192*T1^15*T2^10 + 80*T1^16*T2^10 - 198*T1^4*T2^11 + 313*T1^5*T2^11 + 
      829*T1^6*T2^11 - 1538*T1^7*T2^11 + 1856*T1^8*T2^11 + 1523*T1^9*T2^11 - 
      2749*T1^10*T2^11 + 2462*T1^11*T2^11 + 1212*T1^12*T2^11 - 
      1619*T1^13*T2^11 + 1189*T1^14*T2^11 + 48*T1^15*T2^11 - 
      140*T1^16*T2^11 + 33*T1^4*T2^12 + 138*T1^5*T2^12 - 734*T1^6*T2^12 + 
      561*T1^7*T2^12 + 33*T1^8*T2^12 - 1596*T1^9*T2^12 + 453*T1^10*T2^12 + 
      1212*T1^11*T2^12 - 3135*T1^12*T2^12 + 1905*T1^13*T2^12 - 
      638*T1^14*T2^12 - 318*T1^15*T2^12 + 165*T1^16*T2^12 - 56*T1^5*T2^13 + 
      48*T1^6*T2^13 + 453*T1^7*T2^13 - 896*T1^8*T2^13 + 957*T1^9*T2^13 + 
      541*T1^10*T2^13 - 1619*T1^11*T2^13 + 1905*T1^12*T2^13 - 
      572*T1^13*T2^13 - 219*T1^14*T2^13 + 456*T1^15*T2^13 - 140*T1^16*T2^13 + 
      48*T1^6*T2^14 - 144*T1^7*T2^14 - 17*T1^8*T2^14 + 485*T1^9*T2^14 - 
      1182*T1^10*T2^14 + 1189*T1^11*T2^14 - 638*T1^12*T2^14 - 
      219*T1^13*T2^14 + 463*T1^14*T2^14 - 336*T1^15*T2^14 + 80*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 192*T1^10*T2^15 + 
      48*T1^11*T2^15 - 318*T1^12*T2^15 + 456*T1^13*T2^15 - 336*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      80*T1^10*T2^16 - 140*T1^11*T2^16 + 165*T1^12*T2^16 - 140*T1^13*T2^16 + 
      80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 158] -> 
  {-((1 - 5*T + 14*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 14*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 42*T1^2 + 75*T1^3 - 87*T1^4 + 75*T1^5 - 42*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 160*T1^2*T2 - 235*T1^3*T2 + 
      185*T1^4*T2 - 85*T1^5*T2 - 40*T1^6*T2 + 65*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 42*T2^2 + 160*T1*T2^2 - 354*T1^2*T2^2 + 428*T1^3*T2^2 - 
      182*T1^4*T2^2 - 22*T1^5*T2^2 + 238*T1^6*T2^2 - 132*T1^7*T2^2 + 
      10*T1^8*T2^2 + 20*T1^9*T2^2 - 14*T1^10*T2^2 + 75*T2^3 - 235*T1*T2^3 + 
      428*T1^2*T2^3 - 291*T1^3*T2^3 - 301*T1^4*T2^3 + 392*T1^5*T2^3 - 
      463*T1^6*T2^3 - 121*T1^7*T2^3 + 329*T1^8*T2^3 - 202*T1^9*T2^3 + 
      70*T1^10*T2^3 - 87*T2^4 + 185*T1*T2^4 - 182*T1^2*T2^4 - 301*T1^3*T2^4 + 
      957*T1^4*T2^4 - 287*T1^5*T2^4 - 103*T1^6*T2^4 + 1143*T1^7*T2^4 - 
      795*T1^8*T2^4 + 49*T1^9*T2^4 + 192*T1^10*T2^4 - 145*T1^11*T2^4 + 
      29*T1^12*T2^4 + 75*T2^5 - 85*T1*T2^5 - 22*T1^2*T2^5 + 392*T1^3*T2^5 - 
      287*T1^4*T2^5 - 1532*T1^5*T2^5 + 1924*T1^6*T2^5 - 2386*T1^7*T2^5 + 
      578*T1^8*T2^5 + 748*T1^9*T2^5 - 473*T1^10*T2^5 + 53*T1^11*T2^5 + 
      105*T1^12*T2^5 - 50*T1^13*T2^5 - 42*T2^6 - 40*T1*T2^6 + 238*T1^2*T2^6 - 
      463*T1^3*T2^6 - 103*T1^4*T2^6 + 1924*T1^5*T2^6 - 1211*T1^6*T2^6 + 
      391*T1^7*T2^6 + 2061*T1^8*T2^6 - 2416*T1^9*T2^6 + 389*T1^10*T2^6 + 
      377*T1^11*T2^6 - 274*T1^12*T2^6 + 40*T1^13*T2^6 + 42*T1^14*T2^6 + 
      15*T2^7 + 65*T1*T2^7 - 132*T1^2*T2^7 - 121*T1^3*T2^7 + 1143*T1^4*T2^7 - 
      2386*T1^5*T2^7 + 391*T1^6*T2^7 + 1560*T1^7*T2^7 - 3080*T1^8*T2^7 + 
      1576*T1^9*T2^7 + 1864*T1^10*T2^7 - 1472*T1^11*T2^7 + 379*T1^12*T2^7 + 
      78*T1^13*T2^7 - 110*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      10*T1^2*T2^8 + 329*T1^3*T2^8 - 795*T1^4*T2^8 + 578*T1^5*T2^8 + 
      2061*T1^6*T2^8 - 3080*T1^7*T2^8 + 1152*T1^8*T2^8 + 1900*T1^9*T2^8 - 
      4625*T1^10*T2^8 + 1378*T1^11*T2^8 + 413*T1^12*T2^8 - 441*T1^13*T2^8 + 
      156*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      20*T1^2*T2^9 - 202*T1^3*T2^9 + 49*T1^4*T2^9 + 748*T1^5*T2^9 - 
      2416*T1^6*T2^9 + 1576*T1^7*T2^9 + 1900*T1^8*T2^9 - 2740*T1^9*T2^9 + 
      2761*T1^10*T2^9 + 1834*T1^11*T2^9 - 1867*T1^12*T2^9 + 549*T1^13*T2^9 + 
      8*T1^14*T2^9 - 155*T1^15*T2^9 - 25*T1^16*T2^9 - 14*T1^2*T2^10 + 
      70*T1^3*T2^10 + 192*T1^4*T2^10 - 473*T1^5*T2^10 + 389*T1^6*T2^10 + 
      1864*T1^7*T2^10 - 4625*T1^8*T2^10 + 2761*T1^9*T2^10 - 
      1353*T1^10*T2^10 - 2476*T1^11*T2^10 + 881*T1^12*T2^10 + 
      367*T1^13*T2^10 - 320*T1^14*T2^10 + 150*T1^15*T2^10 + 70*T1^16*T2^10 - 
      145*T1^4*T2^11 + 53*T1^5*T2^11 + 377*T1^6*T2^11 - 1472*T1^7*T2^11 + 
      1378*T1^8*T2^11 + 1834*T1^9*T2^11 - 2476*T1^10*T2^11 + 
      3488*T1^11*T2^11 - 437*T1^12*T2^11 - 488*T1^13*T2^11 + 
      128*T1^14*T2^11 + 45*T1^15*T2^11 - 125*T1^16*T2^11 + 29*T1^4*T2^12 + 
      105*T1^5*T2^12 - 274*T1^6*T2^12 + 379*T1^7*T2^12 + 413*T1^8*T2^12 - 
      1867*T1^9*T2^12 + 881*T1^10*T2^12 - 437*T1^11*T2^12 - 
      1339*T1^12*T2^12 + 729*T1^13*T2^12 + 100*T1^14*T2^12 - 
      225*T1^15*T2^12 + 145*T1^16*T2^12 - 50*T1^5*T2^13 + 40*T1^6*T2^13 + 
      78*T1^7*T2^13 - 441*T1^8*T2^13 + 549*T1^9*T2^13 + 367*T1^10*T2^13 - 
      488*T1^11*T2^13 + 729*T1^12*T2^13 + 179*T1^13*T2^13 - 552*T1^14*T2^13 + 
      345*T1^15*T2^13 - 125*T1^16*T2^13 + 42*T1^6*T2^14 - 110*T1^7*T2^14 + 
      156*T1^8*T2^14 + 8*T1^9*T2^14 - 320*T1^10*T2^14 + 128*T1^11*T2^14 + 
      100*T1^12*T2^14 - 552*T1^13*T2^14 + 520*T1^14*T2^14 - 250*T1^15*T2^14 + 
      70*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 155*T1^9*T2^15 + 
      150*T1^10*T2^15 + 45*T1^11*T2^15 - 225*T1^12*T2^15 + 345*T1^13*T2^15 - 
      250*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 
      25*T1^9*T2^16 + 70*T1^10*T2^16 - 125*T1^11*T2^16 + 145*T1^12*T2^16 - 
      125*T1^13*T2^16 + 70*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 159] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 108*T1^2 + 148*T1^3 - 108*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     297*T1*T2 + 729*T1^2*T2 - 603*T1^3*T2 - 27*T1^4*T2 + 405*T1^5*T2 - 
     207*T1^6*T2 + 27*T1^7*T2 - 108*T2^2 + 729*T1*T2^2 - 788*T1^2*T2^2 - 
     2052*T1^3*T2^2 + 4576*T1^4*T2^2 - 3564*T1^5*T2^2 + 616*T1^6*T2^2 + 
     243*T1^7*T2^2 - 54*T1^8*T2^2 + 148*T2^3 - 603*T1*T2^3 - 2052*T1^2*T2^3 + 
     9762*T1^3*T2^3 - 10126*T1^4*T2^3 + 1430*T1^5*T2^3 + 5232*T1^6*T2^3 - 
     2619*T1^7*T2^3 + 153*T1^8*T2^3 + 37*T1^9*T2^3 - 108*T2^4 - 27*T1*T2^4 + 
     4576*T1^2*T2^4 - 10126*T1^3*T2^4 - 2013*T1^4*T2^4 + 18479*T1^5*T2^4 - 
     17853*T1^6*T2^4 + 3194*T1^7*T2^4 + 1498*T1^8*T2^4 - 333*T1^9*T2^4 + 
     36*T2^5 + 405*T1*T2^5 - 3564*T1^2*T2^5 + 1430*T1^3*T2^5 + 
     18479*T1^4*T2^5 - 27443*T1^5*T2^5 + 10699*T1^6*T2^5 + 9002*T1^7*T2^5 - 
     6598*T1^8*T2^5 + 783*T1^9*T2^5 + 81*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     207*T1*T2^6 + 616*T1^2*T2^6 + 5232*T1^3*T2^6 - 17853*T1^4*T2^6 + 
     10699*T1^5*T2^6 + 12636*T1^6*T2^6 - 21755*T1^7*T2^6 + 8229*T1^8*T2^6 + 
     636*T1^9*T2^6 - 680*T1^10*T2^6 + 63*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 243*T1^2*T2^7 - 2619*T1^3*T2^7 + 3194*T1^4*T2^7 + 
     9002*T1^5*T2^7 - 21755*T1^6*T2^7 + 16387*T1^7*T2^7 - 475*T1^8*T2^7 - 
     4834*T1^9*T2^7 + 1728*T1^10*T2^7 - 81*T1^11*T2^7 - 18*T1^12*T2^7 - 
     54*T1^2*T2^8 + 153*T1^3*T2^8 + 1498*T1^4*T2^8 - 6598*T1^5*T2^8 + 
     8229*T1^6*T2^8 - 475*T1^7*T2^8 - 7611*T1^8*T2^8 + 6722*T1^9*T2^8 - 
     1580*T1^10*T2^8 - 153*T1^11*T2^8 + 54*T1^12*T2^8 + 37*T1^3*T2^9 - 
     333*T1^4*T2^9 + 783*T1^5*T2^9 + 636*T1^6*T2^9 - 4834*T1^7*T2^9 + 
     6722*T1^8*T2^9 - 3894*T1^9*T2^9 + 216*T1^10*T2^9 + 423*T1^11*T2^9 - 
     74*T1^12*T2^9 + 81*T1^5*T2^10 - 680*T1^6*T2^10 + 1728*T1^7*T2^10 - 
     1580*T1^8*T2^10 + 216*T1^9*T2^10 + 724*T1^10*T2^10 - 405*T1^11*T2^10 + 
     54*T1^12*T2^10 - 9*T1^5*T2^11 + 63*T1^6*T2^11 - 81*T1^7*T2^11 - 
     153*T1^8*T2^11 + 423*T1^9*T2^11 - 405*T1^10*T2^11 + 153*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 54*T1^8*T2^12 - 
     74*T1^9*T2^12 + 54*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 160] -> 
  {(1 - 6*T + 17*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 68*T1^2 + 120*T1^3 - 148*T1^4 + 120*T1^5 - 68*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 300*T1^2*T2 - 414*T1^3*T2 + 
     348*T1^4*T2 - 54*T1^5*T2 - 132*T1^6*T2 + 162*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 68*T2^2 + 300*T1*T2^2 - 544*T1^2*T2^2 + 417*T1^3*T2^2 + 
     125*T1^4*T2^2 - 908*T1^5*T2^2 + 805*T1^6*T2^2 - 399*T1^7*T2^2 + 
     96*T1^9*T2^2 - 34*T1^10*T2^2 + 120*T2^3 - 414*T1*T2^3 + 417*T1^2*T2^3 + 
     376*T1^3*T2^3 - 1396*T1^4*T2^3 + 2082*T1^5*T2^3 - 522*T1^6*T2^3 - 
     472*T1^7*T2^3 + 820*T1^8*T2^3 - 399*T1^9*T2^3 + 24*T1^10*T2^3 + 
     30*T1^11*T2^3 - 148*T2^4 + 348*T1*T2^4 + 125*T1^2*T2^4 - 
     1396*T1^3*T2^4 + 1921*T1^4*T2^4 - 1335*T1^5*T2^4 - 2155*T1^6*T2^4 + 
     2313*T1^7*T2^4 - 1391*T1^8*T2^4 - 76*T1^9*T2^4 + 481*T1^10*T2^4 - 
     180*T1^11*T2^4 + 120*T2^5 - 54*T1*T2^5 - 908*T1^2*T2^5 + 
     2082*T1^3*T2^5 - 1335*T1^4*T2^5 - 606*T1^5*T2^5 + 4534*T1^6*T2^5 - 
     1784*T1^7*T2^5 - 624*T1^8*T2^5 + 2031*T1^9*T2^5 - 1170*T1^10*T2^5 + 
     28*T1^11*T2^5 + 180*T1^12*T2^5 - 30*T1^13*T2^5 - 68*T2^6 - 132*T1*T2^6 + 
     805*T1^2*T2^6 - 522*T1^3*T2^6 - 2155*T1^4*T2^6 + 4534*T1^5*T2^6 - 
     6085*T1^6*T2^6 - 723*T1^7*T2^6 + 3427*T1^8*T2^6 - 2798*T1^9*T2^6 + 
     147*T1^10*T2^6 + 1110*T1^11*T2^6 - 523*T1^12*T2^6 - 24*T1^13*T2^6 + 
     34*T1^14*T2^6 + 24*T2^7 + 162*T1*T2^7 - 399*T1^2*T2^7 - 472*T1^3*T2^7 + 
     2313*T1^4*T2^7 - 1784*T1^5*T2^7 - 723*T1^6*T2^7 + 7810*T1^7*T2^7 - 
     6086*T1^8*T2^7 + 753*T1^9*T2^7 + 2506*T1^10*T2^7 - 2181*T1^11*T2^7 + 
     188*T1^12*T2^7 + 417*T1^13*T2^7 - 96*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 820*T1^3*T2^8 - 1391*T1^4*T2^8 - 624*T1^5*T2^8 + 
     3427*T1^6*T2^8 - 6086*T1^7*T2^8 + 336*T1^8*T2^8 + 5578*T1^9*T2^8 - 
     4501*T1^10*T2^8 + 1248*T1^11*T2^8 + 1277*T1^12*T2^8 - 884*T1^13*T2^8 - 
     4*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     96*T1^2*T2^9 - 399*T1^3*T2^9 - 76*T1^4*T2^9 + 2031*T1^5*T2^9 - 
     2798*T1^6*T2^9 + 753*T1^7*T2^9 + 5578*T1^8*T2^9 - 8318*T1^9*T2^9 + 
     2229*T1^10*T2^9 + 1492*T1^11*T2^9 - 2463*T1^12*T2^9 + 584*T1^13*T2^9 + 
     417*T1^14*T2^9 - 162*T1^15*T2^9 - 24*T1^16*T2^9 - 34*T1^2*T2^10 + 
     24*T1^3*T2^10 + 481*T1^4*T2^10 - 1170*T1^5*T2^10 + 147*T1^6*T2^10 + 
     2506*T1^7*T2^10 - 4501*T1^8*T2^10 + 2229*T1^9*T2^10 + 5011*T1^10*T2^10 - 
     4826*T1^11*T2^10 + 2449*T1^12*T2^10 + 462*T1^13*T2^10 - 
     847*T1^14*T2^10 + 132*T1^15*T2^10 + 68*T1^16*T2^10 + 30*T1^3*T2^11 - 
     180*T1^4*T2^11 + 28*T1^5*T2^11 + 1110*T1^6*T2^11 - 2181*T1^7*T2^11 + 
     1248*T1^8*T2^11 + 1492*T1^9*T2^11 - 4826*T1^10*T2^11 + 
     1230*T1^11*T2^11 + 1185*T1^12*T2^11 - 2142*T1^13*T2^11 + 
     964*T1^14*T2^11 + 54*T1^15*T2^11 - 120*T1^16*T2^11 + 180*T1^5*T2^12 - 
     523*T1^6*T2^12 + 188*T1^7*T2^12 + 1277*T1^8*T2^12 - 2463*T1^9*T2^12 + 
     2449*T1^10*T2^12 + 1185*T1^11*T2^12 - 2035*T1^12*T2^12 + 
     1508*T1^13*T2^12 - 167*T1^14*T2^12 - 348*T1^15*T2^12 + 148*T1^16*T2^12 - 
     30*T1^5*T2^13 - 24*T1^6*T2^13 + 417*T1^7*T2^13 - 884*T1^8*T2^13 + 
     584*T1^9*T2^13 + 462*T1^10*T2^13 - 2142*T1^11*T2^13 + 1508*T1^12*T2^13 - 
     440*T1^13*T2^13 - 399*T1^14*T2^13 + 414*T1^15*T2^13 - 120*T1^16*T2^13 + 
     34*T1^6*T2^14 - 96*T1^7*T2^14 - 4*T1^8*T2^14 + 417*T1^9*T2^14 - 
     847*T1^10*T2^14 + 964*T1^11*T2^14 - 167*T1^12*T2^14 - 399*T1^13*T2^14 + 
     540*T1^14*T2^14 - 300*T1^15*T2^14 + 68*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 162*T1^9*T2^15 + 132*T1^10*T2^15 + 54*T1^11*T2^15 - 
     348*T1^12*T2^15 + 414*T1^13*T2^15 - 300*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 68*T1^10*T2^16 - 
     120*T1^11*T2^16 + 148*T1^12*T2^16 - 120*T1^13*T2^16 + 68*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 161] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-9 + 37*T1 - 56*T1^2 + 61*T1^3 - 56*T1^4 + 37*T1^5 - 9*T1^6 + 37*T2 - 
      148*T1*T2 + 207*T1^2*T2 - 213*T1^3*T2 + 187*T1^4*T2 - 113*T1^5*T2 + 
      12*T1^6*T2 + 5*T1^7*T2 - 56*T2^2 + 207*T1*T2^2 - 194*T1^2*T2^2 + 
      64*T1^3*T2^2 + 54*T1^4*T2^2 - 176*T1^5*T2^2 + 286*T1^6*T2^2 - 
      177*T1^7*T2^2 + 40*T1^8*T2^2 + 61*T2^3 - 213*T1*T2^3 + 64*T1^2*T2^3 + 
      266*T1^3*T2^3 - 386*T1^4*T2^3 + 454*T1^5*T2^3 - 484*T1^6*T2^3 + 
      88*T1^7*T2^3 + 219*T1^8*T2^3 - 95*T1^9*T2^3 - 56*T2^4 + 187*T1*T2^4 + 
      54*T1^2*T2^4 - 386*T1^3*T2^4 + 228*T1^4*T2^4 - 212*T1^5*T2^4 + 
      148*T1^6*T2^4 + 446*T1^7*T2^4 - 458*T1^8*T2^4 - 165*T1^9*T2^4 + 
      136*T1^10*T2^4 + 37*T2^5 - 113*T1*T2^5 - 176*T1^2*T2^5 + 
      454*T1^3*T2^5 - 212*T1^4*T2^5 + 524*T1^5*T2^5 - 536*T1^6*T2^5 + 
      28*T1^7*T2^5 - 402*T1^8*T2^5 + 856*T1^9*T2^5 - 49*T1^10*T2^5 - 
      123*T1^11*T2^5 - 9*T2^6 + 12*T1*T2^6 + 286*T1^2*T2^6 - 484*T1^3*T2^6 + 
      148*T1^4*T2^6 - 536*T1^5*T2^6 + 180*T1^6*T2^6 + 392*T1^7*T2^6 - 
      12*T1^8*T2^6 - 28*T1^9*T2^6 - 898*T1^10*T2^6 + 332*T1^11*T2^6 + 
      39*T1^12*T2^6 + 5*T1*T2^7 - 177*T1^2*T2^7 + 88*T1^3*T2^7 + 
      446*T1^4*T2^7 + 28*T1^5*T2^7 + 392*T1^6*T2^7 - 668*T1^7*T2^7 + 
      268*T1^8*T2^7 - 410*T1^9*T2^7 + 1120*T1^10*T2^7 - 113*T1^11*T2^7 - 
      155*T1^12*T2^7 + 40*T1^2*T2^8 + 219*T1^3*T2^8 - 458*T1^4*T2^8 - 
      402*T1^5*T2^8 - 12*T1^6*T2^8 + 268*T1^7*T2^8 - 92*T1^8*T2^8 + 
      430*T1^9*T2^8 - 970*T1^10*T2^8 - 133*T1^11*T2^8 + 232*T1^12*T2^8 - 
      95*T1^3*T2^9 - 165*T1^4*T2^9 + 856*T1^5*T2^9 - 28*T1^6*T2^9 - 
      410*T1^7*T2^9 + 430*T1^8*T2^9 - 778*T1^9*T2^9 + 880*T1^10*T2^9 + 
      267*T1^11*T2^9 - 251*T1^12*T2^9 + 136*T1^4*T2^10 - 49*T1^5*T2^10 - 
      898*T1^6*T2^10 + 1120*T1^7*T2^10 - 970*T1^8*T2^10 + 880*T1^9*T2^10 - 
      418*T1^10*T2^10 - 433*T1^11*T2^10 + 232*T1^12*T2^10 - 123*T1^5*T2^11 + 
      332*T1^6*T2^11 - 113*T1^7*T2^11 - 133*T1^8*T2^11 + 267*T1^9*T2^11 - 
      433*T1^10*T2^11 + 492*T1^11*T2^11 - 155*T1^12*T2^11 + 39*T1^6*T2^12 - 
      155*T1^7*T2^12 + 232*T1^8*T2^12 - 251*T1^9*T2^12 + 232*T1^10*T2^12 - 
      155*T1^11*T2^12 + 39*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 162] -> 
  {-((1 - 7*T + 20*T^2 - 35*T^3 + 41*T^4 - 35*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 60*T1^2 + 105*T1^3 - 123*T1^4 + 105*T1^5 - 
      60*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 
      455*T1^3*T2 + 371*T1^4*T2 - 161*T1^5*T2 - 70*T1^6*T2 + 133*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 535*T1^2*T2^2 + 
      287*T1^3*T2^2 + 554*T1^4*T2^2 - 1197*T1^5*T2^2 + 1394*T1^6*T2^2 - 
      833*T1^7*T2^2 + 225*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 
      105*T2^3 - 455*T1*T2^3 + 287*T1^2*T2^3 + 907*T1^3*T2^3 - 
      2632*T1^4*T2^3 + 2867*T1^5*T2^3 - 1998*T1^6*T2^3 + 28*T1^7*T2^3 + 
      907*T1^8*T2^3 - 693*T1^9*T2^3 + 140*T1^10*T2^3 - 123*T2^4 + 
      371*T1*T2^4 + 554*T1^2*T2^4 - 2632*T1^3*T2^4 + 4144*T1^4*T2^4 - 
      2277*T1^5*T2^4 - 494*T1^6*T2^4 + 3421*T1^7*T2^4 - 3016*T1^8*T2^4 + 
      938*T1^9*T2^4 + 404*T1^10*T2^4 - 287*T1^11*T2^4 + 41*T1^12*T2^4 + 
      105*T2^5 - 161*T1*T2^5 - 1197*T1^2*T2^5 + 2867*T1^3*T2^5 - 
      2277*T1^4*T2^5 - 2200*T1^5*T2^5 + 5049*T1^6*T2^5 - 5521*T1^7*T2^5 + 
      1272*T1^8*T2^5 + 2644*T1^9*T2^5 - 2628*T1^10*T2^5 + 630*T1^11*T2^5 + 
      203*T1^12*T2^5 - 70*T1^13*T2^5 - 60*T2^6 - 70*T1*T2^6 + 
      1394*T1^2*T2^6 - 1998*T1^3*T2^6 - 494*T1^4*T2^6 + 5049*T1^5*T2^6 - 
      4916*T1^6*T2^6 + 1312*T1^7*T2^6 + 4364*T1^8*T2^6 - 5871*T1^9*T2^6 + 
      1286*T1^10*T2^6 + 1922*T1^11*T2^6 - 1426*T1^12*T2^6 + 70*T1^13*T2^6 + 
      60*T1^14*T2^6 + 21*T2^7 + 133*T1*T2^7 - 833*T1^2*T2^7 + 28*T1^3*T2^7 + 
      3421*T1^4*T2^7 - 5521*T1^5*T2^7 + 1312*T1^6*T2^7 + 4814*T1^7*T2^7 - 
      7254*T1^8*T2^7 + 3657*T1^9*T2^7 + 4349*T1^10*T2^7 - 4608*T1^11*T2^7 + 
      1008*T1^12*T2^7 + 987*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 225*T1^2*T2^8 + 907*T1^3*T2^8 - 3016*T1^4*T2^8 + 
      1272*T1^5*T2^8 + 4364*T1^6*T2^8 - 7254*T1^7*T2^8 + 1872*T1^8*T2^8 + 
      4926*T1^9*T2^8 - 10366*T1^10*T2^8 + 3596*T1^11*T2^8 + 1872*T1^12*T2^8 - 
      2243*T1^13*T2^8 - 73*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 693*T1^3*T2^9 + 938*T1^4*T2^9 + 
      2644*T1^5*T2^9 - 5871*T1^6*T2^9 + 3657*T1^7*T2^9 + 4926*T1^8*T2^9 - 
      7142*T1^9*T2^9 + 6002*T1^10*T2^9 + 3999*T1^11*T2^9 - 5385*T1^12*T2^9 + 
      1918*T1^13*T2^9 + 1127*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 
      20*T1^2*T2^10 + 140*T1^3*T2^10 + 404*T1^4*T2^10 - 2628*T1^5*T2^10 + 
      1286*T1^6*T2^10 + 4349*T1^7*T2^10 - 10366*T1^8*T2^10 + 
      6002*T1^9*T2^10 - 1086*T1^10*T2^10 - 6571*T1^11*T2^10 + 
      3066*T1^12*T2^10 + 1292*T1^13*T2^10 - 2416*T1^14*T2^10 + 
      280*T1^15*T2^10 + 100*T1^16*T2^10 - 287*T1^4*T2^11 + 630*T1^5*T2^11 + 
      1922*T1^6*T2^11 - 4608*T1^7*T2^11 + 3596*T1^8*T2^11 + 3999*T1^9*T2^11 - 
      6571*T1^10*T2^11 + 7068*T1^11*T2^11 + 313*T1^12*T2^11 - 
      3573*T1^13*T2^11 + 2457*T1^14*T2^11 + 77*T1^15*T2^11 - 
      175*T1^16*T2^11 + 41*T1^4*T2^12 + 203*T1^5*T2^12 - 1426*T1^6*T2^12 + 
      1008*T1^7*T2^12 + 1872*T1^8*T2^12 - 5385*T1^9*T2^12 + 
      3066*T1^10*T2^12 + 313*T1^11*T2^12 - 5288*T1^12*T2^12 + 
      4578*T1^13*T2^12 - 1576*T1^14*T2^12 - 455*T1^15*T2^12 + 
      205*T1^16*T2^12 - 70*T1^5*T2^13 + 70*T1^6*T2^13 + 987*T1^7*T2^13 - 
      2243*T1^8*T2^13 + 1918*T1^9*T2^13 + 1292*T1^10*T2^13 - 
      3573*T1^11*T2^13 + 4578*T1^12*T2^13 - 2243*T1^13*T2^13 + 
      7*T1^14*T2^13 + 665*T1^15*T2^13 - 175*T1^16*T2^13 + 60*T1^6*T2^14 - 
      224*T1^7*T2^14 - 73*T1^8*T2^14 + 1127*T1^9*T2^14 - 2416*T1^10*T2^14 + 
      2457*T1^11*T2^14 - 1576*T1^12*T2^14 + 7*T1^13*T2^14 + 687*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 280*T1^10*T2^15 + 77*T1^11*T2^15 - 455*T1^12*T2^15 + 
      665*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 175*T1^11*T2^16 + 
      205*T1^12*T2^16 - 175*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 163] -> 
  {-((1 - 6*T + 15*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 75*T1^2 + 120*T1^3 - 135*T1^4 + 120*T1^5 - 
      75*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 
      360*T1^3*T2 + 234*T1^4*T2 - 72*T1^5*T2 - 126*T1^6*T2 + 180*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 304*T1^2*T2^2 - 
      100*T1^3*T2^2 + 776*T1^4*T2^2 - 1034*T1^5*T2^2 + 1136*T1^6*T2^2 - 
      640*T1^7*T2^2 + 116*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 
      120*T2^3 - 360*T1*T2^3 - 100*T1^2*T2^3 + 992*T1^3*T2^3 - 
      1697*T1^4*T2^3 + 1117*T1^5*T2^3 - 665*T1^6*T2^3 - 563*T1^7*T2^3 + 
      902*T1^8*T2^3 - 550*T1^9*T2^3 - 18*T1^10*T2^3 + 48*T1^11*T2^3 - 
      135*T2^4 + 234*T1*T2^4 + 776*T1^2*T2^4 - 1697*T1^3*T2^4 + 
      1709*T1^4*T2^4 - 45*T1^5*T2^4 - 323*T1^6*T2^4 + 1467*T1^7*T2^4 - 
      667*T1^8*T2^4 - 257*T1^9*T2^4 + 668*T1^10*T2^4 - 126*T1^11*T2^4 - 
      27*T1^12*T2^4 + 120*T2^5 - 72*T1*T2^5 - 1034*T1^2*T2^5 + 
      1117*T1^3*T2^5 - 45*T1^4*T2^5 - 1850*T1^5*T2^5 + 887*T1^6*T2^5 - 
      1039*T1^7*T2^5 - 848*T1^8*T2^5 + 1305*T1^9*T2^5 - 773*T1^10*T2^5 - 
      278*T1^11*T2^5 + 162*T1^12*T2^5 - 75*T2^6 - 126*T1*T2^6 + 
      1136*T1^2*T2^6 - 665*T1^3*T2^6 - 323*T1^4*T2^6 + 887*T1^5*T2^6 + 
      1436*T1^6*T2^6 - 1180*T1^7*T2^6 + 2048*T1^8*T2^6 - 877*T1^9*T2^6 - 
      377*T1^10*T2^6 + 955*T1^11*T2^6 - 160*T1^12*T2^6 - 90*T1^13*T2^6 + 
      15*T1^14*T2^6 + 30*T2^7 + 180*T1*T2^7 - 640*T1^2*T2^7 - 563*T1^3*T2^7 + 
      1467*T1^4*T2^7 - 1039*T1^5*T2^7 - 1180*T1^6*T2^7 + 74*T1^7*T2^7 - 
      10*T1^8*T2^7 - 928*T1^9*T2^7 + 1211*T1^10*T2^7 - 531*T1^11*T2^7 - 
      473*T1^12*T2^7 + 350*T1^13*T2^7 - 18*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 116*T1^2*T2^8 + 902*T1^3*T2^8 - 667*T1^4*T2^8 - 
      848*T1^5*T2^8 + 2048*T1^6*T2^8 - 10*T1^7*T2^8 - 540*T1^8*T2^8 + 
      590*T1^9*T2^8 - 352*T1^10*T2^8 - 680*T1^11*T2^8 + 953*T1^12*T2^8 - 
      298*T1^13*T2^8 - 160*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 126*T1^2*T2^9 - 550*T1^3*T2^9 - 257*T1^4*T2^9 + 
      1305*T1^5*T2^9 - 877*T1^6*T2^9 - 928*T1^7*T2^9 + 590*T1^8*T2^9 + 
      506*T1^9*T2^9 - 676*T1^10*T2^9 + 1373*T1^11*T2^9 - 693*T1^12*T2^9 - 
      167*T1^13*T2^9 + 440*T1^14*T2^9 - 72*T1^15*T2^9 - 18*T1^16*T2^9 - 
      45*T1^2*T2^10 - 18*T1^3*T2^10 + 668*T1^4*T2^10 - 773*T1^5*T2^10 - 
      377*T1^6*T2^10 + 1211*T1^7*T2^10 - 352*T1^8*T2^10 - 676*T1^9*T2^10 + 
      260*T1^10*T2^10 - 553*T1^11*T2^10 - 431*T1^12*T2^10 + 847*T1^13*T2^10 - 
      628*T1^14*T2^10 + 18*T1^15*T2^10 + 45*T1^16*T2^10 + 48*T1^3*T2^11 - 
      126*T1^4*T2^11 - 278*T1^5*T2^11 + 955*T1^6*T2^11 - 531*T1^7*T2^11 - 
      680*T1^8*T2^11 + 1373*T1^9*T2^11 - 553*T1^10*T2^11 + 322*T1^11*T2^11 + 
      819*T1^12*T2^11 - 935*T1^13*T2^11 + 478*T1^14*T2^11 + 108*T1^15*T2^11 - 
      72*T1^16*T2^11 - 27*T1^4*T2^12 + 162*T1^5*T2^12 - 160*T1^6*T2^12 - 
      473*T1^7*T2^12 + 953*T1^8*T2^12 - 693*T1^9*T2^12 - 431*T1^10*T2^12 + 
      819*T1^11*T2^12 - 1423*T1^12*T2^12 + 967*T1^13*T2^12 - 
      268*T1^14*T2^12 - 198*T1^15*T2^12 + 81*T1^16*T2^12 - 90*T1^6*T2^13 + 
      350*T1^7*T2^13 - 298*T1^8*T2^13 - 167*T1^9*T2^13 + 847*T1^10*T2^13 - 
      935*T1^11*T2^13 + 967*T1^12*T2^13 - 388*T1^13*T2^13 - 100*T1^14*T2^13 + 
      252*T1^15*T2^13 - 72*T1^16*T2^13 + 15*T1^6*T2^14 - 18*T1^7*T2^14 - 
      160*T1^8*T2^14 + 440*T1^9*T2^14 - 628*T1^10*T2^14 + 478*T1^11*T2^14 - 
      268*T1^12*T2^14 - 100*T1^13*T2^14 + 260*T1^14*T2^14 - 198*T1^15*T2^14 + 
      45*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 72*T1^9*T2^15 + 
      18*T1^10*T2^15 + 108*T1^11*T2^15 - 198*T1^12*T2^15 + 252*T1^13*T2^15 - 
      198*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 45*T1^10*T2^16 - 72*T1^11*T2^16 + 81*T1^12*T2^16 - 
      72*T1^13*T2^16 + 45*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 164] -> 
  {((1 - 3*T + 4*T^2 - 4*T^3 + T^4)*(1 - 4*T + 4*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 140*T1^3 - 172*T1^4 + 140*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 560*T1^3*T2 + 
     469*T1^4*T2 - 77*T1^5*T2 - 175*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 610*T1^2*T2^2 + 135*T1^3*T2^2 + 
     915*T1^4*T2^2 - 2132*T1^5*T2^2 + 1835*T1^6*T2^2 - 985*T1^7*T2^2 + 
     150*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 140*T2^3 - 560*T1*T2^3 + 
     135*T1^2*T2^3 + 1597*T1^3*T2^3 - 3358*T1^4*T2^3 + 4070*T1^5*T2^3 - 
     1075*T1^6*T2^3 - 908*T1^7*T2^3 + 1597*T1^8*T2^3 - 845*T1^9*T2^3 + 
     35*T1^10*T2^3 + 35*T1^11*T2^3 - 172*T2^4 + 469*T1*T2^4 + 915*T1^2*T2^4 - 
     3358*T1^3*T2^4 + 4046*T1^4*T2^4 - 2352*T1^5*T2^4 - 3698*T1^6*T2^4 + 
     4102*T1^7*T2^4 - 2450*T1^8*T2^4 - 68*T1^9*T2^4 + 925*T1^10*T2^4 - 
     245*T1^11*T2^4 + 140*T2^5 - 77*T1*T2^5 - 2132*T1^2*T2^5 + 
     4070*T1^3*T2^5 - 2352*T1^4*T2^5 - 1466*T1^5*T2^5 + 7258*T1^6*T2^5 - 
     2402*T1^7*T2^5 - 1816*T1^8*T2^5 + 3731*T1^9*T2^5 - 2265*T1^10*T2^5 - 
     11*T1^11*T2^5 + 245*T1^12*T2^5 - 35*T1^13*T2^5 - 80*T2^6 - 175*T1*T2^6 + 
     1835*T1^2*T2^6 - 1075*T1^3*T2^6 - 3698*T1^4*T2^6 + 7258*T1^5*T2^6 - 
     7983*T1^6*T2^6 - 2767*T1^7*T2^6 + 6417*T1^8*T2^6 - 3942*T1^9*T2^6 - 
     158*T1^10*T2^6 + 2285*T1^11*T2^6 - 905*T1^12*T2^6 - 35*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 985*T1^2*T2^7 - 908*T1^3*T2^7 + 
     4102*T1^4*T2^7 - 2402*T1^5*T2^7 - 2767*T1^6*T2^7 + 12026*T1^7*T2^7 - 
     8372*T1^8*T2^7 - 772*T1^9*T2^7 + 4178*T1^10*T2^7 - 3465*T1^11*T2^7 + 
     2*T1^12*T2^7 + 835*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 150*T1^2*T2^8 + 1597*T1^3*T2^8 - 2450*T1^4*T2^8 - 
     1816*T1^5*T2^8 + 6417*T1^6*T2^8 - 8372*T1^7*T2^8 - 60*T1^8*T2^8 + 
     8708*T1^9*T2^8 - 5113*T1^10*T2^8 + 1096*T1^11*T2^8 + 2454*T1^12*T2^8 - 
     1553*T1^13*T2^8 - 148*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 845*T1^3*T2^9 - 68*T1^4*T2^9 + 
     3731*T1^5*T2^9 - 3942*T1^6*T2^9 - 772*T1^7*T2^9 + 8708*T1^8*T2^9 - 
     11690*T1^9*T2^9 + 1223*T1^10*T2^9 + 2638*T1^11*T2^9 - 3836*T1^12*T2^9 + 
     842*T1^13*T2^9 + 975*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 35*T1^3*T2^10 + 925*T1^4*T2^10 - 2265*T1^5*T2^10 - 
     158*T1^6*T2^10 + 4178*T1^7*T2^10 - 5113*T1^8*T2^10 + 1223*T1^9*T2^10 + 
     9287*T1^10*T2^10 - 7022*T1^11*T2^10 + 3382*T1^12*T2^10 + 
     1095*T1^13*T2^10 - 1815*T1^14*T2^10 + 175*T1^15*T2^10 + 80*T1^16*T2^10 + 
     35*T1^3*T2^11 - 245*T1^4*T2^11 - 11*T1^5*T2^11 + 2285*T1^6*T2^11 - 
     3465*T1^7*T2^11 + 1096*T1^8*T2^11 + 2638*T1^9*T2^11 - 7022*T1^10*T2^11 + 
     746*T1^11*T2^11 + 2618*T1^12*T2^11 - 4050*T1^13*T2^11 + 
     2110*T1^14*T2^11 + 77*T1^15*T2^11 - 140*T1^16*T2^11 + 245*T1^5*T2^12 - 
     905*T1^6*T2^12 + 2*T1^7*T2^12 + 2454*T1^8*T2^12 - 3836*T1^9*T2^12 + 
     3382*T1^10*T2^12 + 2618*T1^11*T2^12 - 4042*T1^12*T2^12 + 
     3292*T1^13*T2^12 - 895*T1^14*T2^12 - 469*T1^15*T2^12 + 172*T1^16*T2^12 - 
     35*T1^5*T2^13 - 35*T1^6*T2^13 + 835*T1^7*T2^13 - 1553*T1^8*T2^13 + 
     842*T1^9*T2^13 + 1095*T1^10*T2^13 - 4050*T1^11*T2^13 + 
     3292*T1^12*T2^13 - 1553*T1^13*T2^13 - 145*T1^14*T2^13 + 
     560*T1^15*T2^13 - 140*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 
     148*T1^8*T2^14 + 975*T1^9*T2^14 - 1815*T1^10*T2^14 + 2110*T1^11*T2^14 - 
     895*T1^12*T2^14 - 145*T1^13*T2^14 + 612*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     175*T1^10*T2^15 + 77*T1^11*T2^15 - 469*T1^12*T2^15 + 560*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 140*T1^11*T2^16 + 172*T1^12*T2^16 - 
     140*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 165] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-25 + 113*T1 - 226*T1^2 + 289*T1^3 - 226*T1^4 + 113*T1^5 - 25*T1^6 + 
      113*T2 - 434*T1*T2 + 673*T1^2*T2 - 609*T1^3*T2 + 129*T1^4*T2 + 
      187*T1^5*T2 - 236*T1^6*T2 + 77*T1^7*T2 - 226*T2^2 + 673*T1*T2^2 - 
      544*T1^2*T2^2 - 160*T1^3*T2^2 + 1224*T1^4*T2^2 - 1168*T1^5*T2^2 + 
      608*T1^6*T2^2 + 25*T1^7*T2^2 - 82*T1^8*T2^2 + 289*T2^3 - 609*T1*T2^3 - 
      160*T1^2*T2^3 + 1196*T1^3*T2^3 - 2063*T1^4*T2^3 + 853*T1^5*T2^3 + 
      272*T1^6*T2^3 - 862*T1^7*T2^3 + 309*T1^8*T2^3 + 13*T1^9*T2^3 - 
      226*T2^4 + 129*T1*T2^4 + 1224*T1^2*T2^4 - 2063*T1^3*T2^4 + 
      2142*T1^4*T2^4 + 220*T1^5*T2^4 - 1350*T1^6*T2^4 + 1249*T1^7*T2^4 + 
      90*T1^8*T2^4 - 339*T1^9*T2^4 + 62*T1^10*T2^4 + 113*T2^5 + 187*T1*T2^5 - 
      1168*T1^2*T2^5 + 853*T1^3*T2^5 + 220*T1^4*T2^5 - 2606*T1^5*T2^5 + 
      2236*T1^6*T2^5 - 428*T1^7*T2^5 - 1271*T1^8*T2^5 + 758*T1^9*T2^5 + 
      25*T1^10*T2^5 - 67*T1^11*T2^5 - 25*T2^6 - 236*T1*T2^6 + 608*T1^2*T2^6 + 
      272*T1^3*T2^6 - 1350*T1^4*T2^6 + 2236*T1^5*T2^6 - 336*T1^6*T2^6 - 
      1868*T1^7*T2^6 + 1998*T1^8*T2^6 - 280*T1^9*T2^6 - 580*T1^10*T2^6 + 
      196*T1^11*T2^6 + 23*T1^12*T2^6 + 77*T1*T2^7 + 25*T1^2*T2^7 - 
      862*T1^3*T2^7 + 1249*T1^4*T2^7 - 428*T1^5*T2^7 - 1868*T1^6*T2^7 + 
      2974*T1^7*T2^7 - 1076*T1^8*T2^7 - 875*T1^9*T2^7 + 1064*T1^10*T2^7 - 
      137*T1^11*T2^7 - 103*T1^12*T2^7 - 82*T1^2*T2^8 + 309*T1^3*T2^8 + 
      90*T1^4*T2^8 - 1271*T1^5*T2^8 + 1998*T1^6*T2^8 - 1076*T1^7*T2^8 - 
      1494*T1^8*T2^8 + 2041*T1^9*T2^8 - 1044*T1^10*T2^8 - 159*T1^11*T2^8 + 
      206*T1^12*T2^8 + 13*T1^3*T2^9 - 339*T1^4*T2^9 + 758*T1^5*T2^9 - 
      280*T1^6*T2^9 - 875*T1^7*T2^9 + 2041*T1^8*T2^9 - 1204*T1^9*T2^9 + 
      56*T1^10*T2^9 + 579*T1^11*T2^9 - 263*T1^12*T2^9 + 62*T1^4*T2^10 + 
      25*T1^5*T2^10 - 580*T1^6*T2^10 + 1064*T1^7*T2^10 - 1044*T1^8*T2^10 + 
      56*T1^9*T2^10 + 572*T1^10*T2^10 - 623*T1^11*T2^10 + 206*T1^12*T2^10 - 
      67*T1^5*T2^11 + 196*T1^6*T2^11 - 137*T1^7*T2^11 - 159*T1^8*T2^11 + 
      579*T1^9*T2^11 - 623*T1^10*T2^11 + 394*T1^11*T2^11 - 103*T1^12*T2^11 + 
      23*T1^6*T2^12 - 103*T1^7*T2^12 + 206*T1^8*T2^12 - 263*T1^9*T2^12 + 
      206*T1^10*T2^12 - 103*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 166] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   -((-192 + 716*T1 - 1000*T1^2 + 716*T1^3 - 192*T1^4 + 716*T2 - 2190*T1*T2 + 
      1956*T1^2*T2 - 204*T1^3*T2 - 1050*T1^4*T2 + 476*T1^5*T2 - 1000*T2^2 + 
      1956*T1*T2^2 + 1049*T1^2*T2^2 - 4279*T1^3*T2^2 + 3905*T1^4*T2^2 - 
      564*T1^5*T2^2 - 328*T1^6*T2^2 + 716*T2^3 - 204*T1*T2^3 - 
      4279*T1^2*T2^3 + 5781*T1^3*T2^3 - 2139*T1^4*T2^3 - 2074*T1^5*T2^3 + 
      1236*T1^6*T2^3 - 4*T1^7*T2^3 - 192*T2^4 - 1050*T1*T2^4 + 
      3905*T1^2*T2^4 - 2139*T1^3*T2^4 - 2736*T1^4*T2^4 + 4551*T1^5*T2^4 - 
      1501*T1^6*T2^4 - 210*T1^7*T2^4 + 64*T1^8*T2^4 + 476*T1*T2^5 - 
      564*T1^2*T2^5 - 2074*T1^3*T2^5 + 4551*T1^4*T2^5 - 3369*T1^5*T2^5 + 
      131*T1^6*T2^5 + 876*T1^7*T2^5 - 244*T1^8*T2^5 - 328*T1^2*T2^6 + 
      1236*T1^3*T2^6 - 1501*T1^4*T2^6 + 131*T1^5*T2^6 + 1355*T1^6*T2^6 - 
      1284*T1^7*T2^6 + 344*T1^8*T2^6 - 4*T1^3*T2^7 - 210*T1^4*T2^7 + 
      876*T1^5*T2^7 - 1284*T1^6*T2^7 + 930*T1^7*T2^7 - 244*T1^8*T2^7 + 
      64*T1^4*T2^8 - 244*T1^5*T2^8 + 344*T1^6*T2^8 - 244*T1^7*T2^8 + 
      64*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 167] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-25 + 138*T1 - 326*T1^2 + 439*T1^3 - 326*T1^4 + 138*T1^5 - 25*T1^6 + 
      138*T2 - 668*T1*T2 + 1280*T1^2*T2 - 1196*T1^3*T2 + 146*T1^4*T2 + 
      466*T1^5*T2 - 382*T1^6*T2 + 94*T1^7*T2 - 326*T2^2 + 1280*T1*T2^2 - 
      1487*T1^2*T2^2 - 435*T1^3*T2^2 + 3383*T1^4*T2^2 - 2931*T1^5*T2^2 + 
      1009*T1^6*T2^2 + 136*T1^7*T2^2 - 118*T1^8*T2^2 + 439*T2^3 - 
      1196*T1*T2^3 - 435*T1^2*T2^3 + 4772*T1^3*T2^3 - 7423*T1^4*T2^3 + 
      2253*T1^5*T2^3 + 1960*T1^6*T2^3 - 2177*T1^7*T2^3 + 542*T1^8*T2^3 + 
      19*T1^9*T2^3 - 326*T2^4 + 146*T1*T2^4 + 3383*T1^2*T2^4 - 
      7423*T1^3*T2^4 + 5158*T1^4*T2^4 + 5700*T1^5*T2^4 - 8330*T1^6*T2^4 + 
      3777*T1^7*T2^4 + 321*T1^8*T2^4 - 602*T1^9*T2^4 + 90*T1^10*T2^4 + 
      138*T2^5 + 466*T1*T2^5 - 2931*T1^2*T2^5 + 2253*T1^3*T2^5 + 
      5700*T1^4*T2^5 - 15386*T1^5*T2^5 + 9808*T1^6*T2^5 + 916*T1^7*T2^5 - 
      4375*T1^8*T2^5 + 1827*T1^9*T2^5 - 40*T1^10*T2^5 - 82*T1^11*T2^5 - 
      25*T2^6 - 382*T1*T2^6 + 1009*T1^2*T2^6 + 1960*T1^3*T2^6 - 
      8330*T1^4*T2^6 + 9808*T1^5*T2^6 + 1800*T1^6*T2^6 - 11288*T1^7*T2^6 + 
      7802*T1^8*T2^6 - 1168*T1^9*T2^6 - 987*T1^10*T2^6 + 322*T1^11*T2^6 + 
      23*T1^12*T2^6 + 94*T1*T2^7 + 136*T1^2*T2^7 - 2177*T1^3*T2^7 + 
      3777*T1^4*T2^7 + 916*T1^5*T2^7 - 11288*T1^6*T2^7 + 13906*T1^7*T2^7 - 
      3868*T1^8*T2^7 - 2851*T1^9*T2^7 + 2581*T1^10*T2^7 - 370*T1^11*T2^7 - 
      126*T1^12*T2^7 - 118*T1^2*T2^8 + 542*T1^3*T2^8 + 321*T1^4*T2^8 - 
      4375*T1^5*T2^8 + 7802*T1^6*T2^8 - 3868*T1^7*T2^8 - 5686*T1^8*T2^8 + 
      6825*T1^9*T2^8 - 2741*T1^10*T2^8 - 206*T1^11*T2^8 + 298*T1^12*T2^8 + 
      19*T1^3*T2^9 - 602*T1^4*T2^9 + 1827*T1^5*T2^9 - 1168*T1^6*T2^9 - 
      2851*T1^7*T2^9 + 6825*T1^8*T2^9 - 3980*T1^9*T2^9 + 85*T1^10*T2^9 + 
      1136*T1^11*T2^9 - 401*T1^12*T2^9 + 90*T1^4*T2^10 - 40*T1^5*T2^10 - 
      987*T1^6*T2^10 + 2581*T1^7*T2^10 - 2741*T1^8*T2^10 + 85*T1^9*T2^10 + 
      1509*T1^10*T2^10 - 1184*T1^11*T2^10 + 298*T1^12*T2^10 - 82*T1^5*T2^11 + 
      322*T1^6*T2^11 - 370*T1^7*T2^11 - 206*T1^8*T2^11 + 1136*T1^9*T2^11 - 
      1184*T1^10*T2^11 + 608*T1^11*T2^11 - 126*T1^12*T2^11 + 23*T1^6*T2^12 - 
      126*T1^7*T2^12 + 298*T1^8*T2^12 - 401*T1^9*T2^12 + 298*T1^10*T2^12 - 
      126*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 168] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((-25 + 150*T1 - 362*T1^2 + 487*T1^3 - 362*T1^4 + 150*T1^5 - 25*T1^6 + 
      150*T2 - 798*T1*T2 + 1560*T1^2*T2 - 1446*T1^3*T2 + 186*T1^4*T2 + 
      576*T1^5*T2 - 462*T1^6*T2 + 102*T1^7*T2 - 362*T2^2 + 1560*T1*T2^2 - 
      1694*T1^2*T2^2 - 1048*T1^3*T2^2 + 4830*T1^4*T2^2 - 4180*T1^5*T2^2 + 
      1438*T1^6*T2^2 + 168*T1^7*T2^2 - 130*T1^8*T2^2 + 487*T2^3 - 
      1446*T1*T2^3 - 1048*T1^2*T2^3 + 7282*T1^3*T2^3 - 10570*T1^4*T2^3 + 
      3500*T1^5*T2^3 + 2608*T1^6*T2^3 - 2962*T1^7*T2^3 + 666*T1^8*T2^3 + 
      19*T1^9*T2^3 - 362*T2^4 + 186*T1*T2^4 + 4830*T1^2*T2^4 - 
      10570*T1^3*T2^4 + 6933*T1^4*T2^4 + 7969*T1^5*T2^4 - 12075*T1^6*T2^4 + 
      5654*T1^7*T2^4 + 326*T1^8*T2^4 - 726*T1^9*T2^4 + 102*T1^10*T2^4 + 
      150*T2^5 + 576*T1*T2^5 - 4180*T1^2*T2^5 + 3500*T1^3*T2^5 + 
      7969*T1^4*T2^5 - 21479*T1^5*T2^5 + 14305*T1^6*T2^5 + 922*T1^7*T2^5 - 
      6262*T1^8*T2^5 + 2606*T1^9*T2^5 - 72*T1^10*T2^5 - 90*T1^11*T2^5 - 
      25*T2^6 - 462*T1*T2^6 + 1438*T1^2*T2^6 + 2608*T1^3*T2^6 - 
      12075*T1^4*T2^6 + 14305*T1^5*T2^6 + 1908*T1^6*T2^6 - 15845*T1^7*T2^6 + 
      11571*T1^8*T2^6 - 1808*T1^9*T2^6 - 1414*T1^10*T2^6 + 402*T1^11*T2^6 + 
      23*T1^12*T2^6 + 102*T1*T2^7 + 168*T1^2*T2^7 - 2962*T1^3*T2^7 + 
      5654*T1^4*T2^7 + 922*T1^5*T2^7 - 15845*T1^6*T2^7 + 19939*T1^7*T2^7 - 
      6125*T1^8*T2^7 - 4108*T1^9*T2^7 + 3824*T1^10*T2^7 - 480*T1^11*T2^7 - 
      138*T1^12*T2^7 - 130*T1^2*T2^8 + 666*T1^3*T2^8 + 326*T1^4*T2^8 - 
      6262*T1^5*T2^8 + 11571*T1^6*T2^8 - 6125*T1^7*T2^8 - 7437*T1^8*T2^8 + 
      9962*T1^9*T2^8 - 4178*T1^10*T2^8 - 246*T1^11*T2^8 + 334*T1^12*T2^8 + 
      19*T1^3*T2^9 - 726*T1^4*T2^9 + 2606*T1^5*T2^9 - 1808*T1^6*T2^9 - 
      4108*T1^7*T2^9 + 9962*T1^8*T2^9 - 6482*T1^9*T2^9 + 692*T1^10*T2^9 + 
      1386*T1^11*T2^9 - 449*T1^12*T2^9 + 102*T1^4*T2^10 - 72*T1^5*T2^10 - 
      1414*T1^6*T2^10 + 3824*T1^7*T2^10 - 4178*T1^8*T2^10 + 692*T1^9*T2^10 + 
      1718*T1^10*T2^10 - 1464*T1^11*T2^10 + 334*T1^12*T2^10 - 90*T1^5*T2^11 + 
      402*T1^6*T2^11 - 480*T1^7*T2^11 - 246*T1^8*T2^11 + 1386*T1^9*T2^11 - 
      1464*T1^10*T2^11 + 738*T1^11*T2^11 - 138*T1^12*T2^11 + 23*T1^6*T2^12 - 
      138*T1^7*T2^12 + 334*T1^8*T2^12 - 449*T1^9*T2^12 + 334*T1^10*T2^12 - 
      138*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 169] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   -((-23 + 138*T1 - 322*T1^2 + 425*T1^3 - 322*T1^4 + 138*T1^5 - 23*T1^6 + 
      138*T2 - 738*T1*T2 + 1392*T1^2*T2 - 1290*T1^3*T2 + 270*T1^4*T2 + 
      432*T1^5*T2 - 402*T1^6*T2 + 90*T1^7*T2 - 322*T2^2 + 1392*T1*T2^2 - 
      1366*T1^2*T2^2 - 1031*T1^3*T2^2 + 4102*T1^4*T2^2 - 3831*T1^5*T2^2 + 
      1546*T1^6*T2^2 + 48*T1^7*T2^2 - 98*T1^8*T2^2 + 425*T2^3 - 
      1290*T1*T2^3 - 1031*T1^2*T2^3 + 6336*T1^3*T2^3 - 9019*T1^4*T2^3 + 
      3941*T1^5*T2^3 + 1554*T1^6*T2^3 - 2543*T1^7*T2^3 + 702*T1^8*T2^3 - 
      19*T1^9*T2^3 - 322*T2^4 + 270*T1*T2^4 + 4102*T1^2*T2^4 - 
      9019*T1^3*T2^4 + 5856*T1^4*T2^4 + 5662*T1^5*T2^4 - 10520*T1^6*T2^4 + 
      5781*T1^7*T2^4 - 282*T1^8*T2^4 - 642*T1^9*T2^4 + 126*T1^10*T2^4 + 
      138*T2^5 + 432*T1*T2^5 - 3831*T1^2*T2^5 + 3941*T1^3*T2^5 + 
      5662*T1^4*T2^5 - 16232*T1^5*T2^5 + 12468*T1^6*T2^5 + 174*T1^7*T2^5 - 
      5339*T1^8*T2^5 + 2833*T1^9*T2^5 - 144*T1^10*T2^5 - 102*T1^11*T2^5 - 
      23*T2^6 - 402*T1*T2^6 + 1546*T1^2*T2^6 + 1554*T1^3*T2^6 - 
      10520*T1^4*T2^6 + 12468*T1^5*T2^6 - 792*T1^6*T2^6 - 12044*T1^7*T2^6 + 
      9608*T1^8*T2^6 - 2022*T1^9*T2^6 - 1558*T1^10*T2^6 + 462*T1^11*T2^6 + 
      25*T1^12*T2^6 + 90*T1*T2^7 + 48*T1^2*T2^7 - 2543*T1^3*T2^7 + 
      5781*T1^4*T2^7 + 174*T1^5*T2^7 - 12044*T1^6*T2^7 + 16656*T1^7*T2^7 - 
      5314*T1^8*T2^7 - 3499*T1^9*T2^7 + 4121*T1^10*T2^7 - 528*T1^11*T2^7 - 
      150*T1^12*T2^7 - 98*T1^2*T2^8 + 702*T1^3*T2^8 - 282*T1^4*T2^8 - 
      5339*T1^5*T2^8 + 9608*T1^6*T2^8 - 5314*T1^7*T2^8 - 6768*T1^8*T2^8 + 
      9461*T1^9*T2^8 - 4666*T1^10*T2^8 - 210*T1^11*T2^8 + 350*T1^12*T2^8 - 
      19*T1^3*T2^9 - 642*T1^4*T2^9 + 2833*T1^5*T2^9 - 2022*T1^6*T2^9 - 
      3499*T1^7*T2^9 + 9461*T1^8*T2^9 - 6804*T1^9*T2^9 + 1321*T1^10*T2^9 + 
      1350*T1^11*T2^9 - 463*T1^12*T2^9 + 126*T1^4*T2^10 - 144*T1^5*T2^10 - 
      1558*T1^6*T2^10 + 4121*T1^7*T2^10 - 4666*T1^8*T2^10 + 1321*T1^9*T2^10 + 
      1354*T1^10*T2^10 - 1488*T1^11*T2^10 + 350*T1^12*T2^10 - 
      102*T1^5*T2^11 + 462*T1^6*T2^11 - 528*T1^7*T2^11 - 210*T1^8*T2^11 + 
      1350*T1^9*T2^11 - 1488*T1^10*T2^11 + 798*T1^11*T2^11 - 
      150*T1^12*T2^11 + 25*T1^6*T2^12 - 150*T1^7*T2^12 + 350*T1^8*T2^12 - 
      463*T1^9*T2^12 + 350*T1^10*T2^12 - 150*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 170] -> 
  {(1 - 6*T + 20*T^2 - 40*T^3 + 51*T^4 - 40*T^5 + 20*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 80*T1^2 + 160*T1^3 - 204*T1^4 + 160*T1^5 - 80*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 372*T1^2*T2 - 600*T1^3*T2 + 
     504*T1^4*T2 - 42*T1^5*T2 - 240*T1^6*T2 + 216*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 80*T2^2 + 372*T1*T2^2 - 995*T1^2*T2^2 + 1290*T1^3*T2^2 - 
     582*T1^4*T2^2 - 681*T1^5*T2^2 + 658*T1^6*T2^2 - 70*T1^7*T2^2 - 
     235*T1^8*T2^2 + 132*T1^9*T2^2 - 40*T1^10*T2^2 + 160*T2^3 - 600*T1*T2^3 + 
     1290*T1^2*T2^3 - 616*T1^3*T2^3 - 1652*T1^4*T2^3 + 3152*T1^5*T2^3 - 
     568*T1^6*T2^3 - 1292*T1^7*T2^3 + 1184*T1^8*T2^3 - 270*T1^9*T2^3 + 
     40*T1^11*T2^3 - 204*T2^4 + 504*T1*T2^4 - 582*T1^2*T2^4 - 
     1652*T1^3*T2^4 + 3717*T1^4*T2^4 - 1170*T1^5*T2^4 - 6767*T1^6*T2^4 + 
     6774*T1^7*T2^4 - 2403*T1^8*T2^4 - 692*T1^9*T2^4 + 618*T1^10*T2^4 - 
     240*T1^11*T2^4 + 160*T2^5 - 42*T1*T2^5 - 681*T1^2*T2^5 + 
     3152*T1^3*T2^5 - 1170*T1^4*T2^5 - 7870*T1^5*T2^5 + 16564*T1^6*T2^5 - 
     6356*T1^7*T2^5 - 3996*T1^8*T2^5 + 5468*T1^9*T2^5 - 1608*T1^10*T2^5 + 
     27*T1^11*T2^5 + 240*T1^12*T2^5 - 40*T1^13*T2^5 - 80*T2^6 - 240*T1*T2^6 + 
     658*T1^2*T2^6 - 568*T1^3*T2^6 - 6767*T1^4*T2^6 + 16564*T1^5*T2^6 - 
     14324*T1^6*T2^6 - 9938*T1^7*T2^6 + 18556*T1^8*T2^6 - 9596*T1^9*T2^6 - 
     287*T1^10*T2^6 + 1592*T1^11*T2^6 - 662*T1^12*T2^6 + 40*T1^14*T2^6 + 
     24*T2^7 + 216*T1*T2^7 - 70*T1^2*T2^7 - 1292*T1^3*T2^7 + 6774*T1^4*T2^7 - 
     6356*T1^5*T2^7 - 9938*T1^6*T2^7 + 33330*T1^7*T2^7 - 23616*T1^8*T2^7 - 
     578*T1^9*T2^7 + 10084*T1^10*T2^7 - 5088*T1^11*T2^7 + 748*T1^12*T2^7 + 
     290*T1^13*T2^7 - 132*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 - 
     235*T1^2*T2^8 + 1184*T1^3*T2^8 - 2403*T1^4*T2^8 - 3996*T1^5*T2^8 + 
     18556*T1^6*T2^8 - 23616*T1^7*T2^8 - 2328*T1^8*T2^8 + 25240*T1^9*T2^8 - 
     18724*T1^10*T2^8 + 3500*T1^11*T2^8 + 2165*T1^12*T2^8 - 1216*T1^13*T2^8 + 
     229*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     132*T1^2*T2^9 - 270*T1^3*T2^9 - 692*T1^4*T2^9 + 5468*T1^5*T2^9 - 
     9596*T1^6*T2^9 - 578*T1^7*T2^9 + 25240*T1^8*T2^9 - 31706*T1^9*T2^9 + 
     8782*T1^10*T2^9 + 6844*T1^11*T2^9 - 6394*T1^12*T2^9 + 1348*T1^13*T2^9 + 
     90*T1^14*T2^9 - 216*T1^15*T2^9 - 24*T1^16*T2^9 - 40*T1^2*T2^10 + 
     618*T1^4*T2^10 - 1608*T1^5*T2^10 - 287*T1^6*T2^10 + 10084*T1^7*T2^10 - 
     18724*T1^8*T2^10 + 8782*T1^9*T2^10 + 14156*T1^10*T2^10 - 
     16076*T1^11*T2^10 + 6193*T1^12*T2^10 + 552*T1^13*T2^10 - 
     702*T1^14*T2^10 + 240*T1^15*T2^10 + 80*T1^16*T2^10 + 40*T1^3*T2^11 - 
     240*T1^4*T2^11 + 27*T1^5*T2^11 + 1592*T1^6*T2^11 - 5088*T1^7*T2^11 + 
     3500*T1^8*T2^11 + 6844*T1^9*T2^11 - 16076*T1^10*T2^11 + 
     7374*T1^11*T2^11 + 1550*T1^12*T2^11 - 3168*T1^13*T2^11 + 
     735*T1^14*T2^11 + 42*T1^15*T2^11 - 160*T1^16*T2^11 + 240*T1^5*T2^12 - 
     662*T1^6*T2^12 + 748*T1^7*T2^12 + 2165*T1^8*T2^12 - 6394*T1^9*T2^12 + 
     6193*T1^10*T2^12 + 1550*T1^11*T2^12 - 3955*T1^12*T2^12 + 
     1708*T1^13*T2^12 + 538*T1^14*T2^12 - 504*T1^15*T2^12 + 204*T1^16*T2^12 - 
     40*T1^5*T2^13 + 290*T1^7*T2^13 - 1216*T1^8*T2^13 + 1348*T1^9*T2^13 + 
     552*T1^10*T2^13 - 3168*T1^11*T2^13 + 1708*T1^12*T2^13 + 
     584*T1^13*T2^13 - 1270*T1^14*T2^13 + 600*T1^15*T2^13 - 160*T1^16*T2^13 + 
     40*T1^6*T2^14 - 132*T1^7*T2^14 + 229*T1^8*T2^14 + 90*T1^9*T2^14 - 
     702*T1^10*T2^14 + 735*T1^11*T2^14 + 538*T1^12*T2^14 - 1270*T1^13*T2^14 + 
     989*T1^14*T2^14 - 372*T1^15*T2^14 + 80*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 216*T1^9*T2^15 + 240*T1^10*T2^15 + 42*T1^11*T2^15 - 
     504*T1^12*T2^15 + 600*T1^13*T2^15 - 372*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 80*T1^10*T2^16 - 
     160*T1^11*T2^16 + 204*T1^12*T2^16 - 160*T1^13*T2^16 + 80*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 171] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4), 
   -((-5 + 35*T1 - 105*T1^2 + 195*T1^3 - 235*T1^4 + 195*T1^5 - 105*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 777*T1^3*T2 + 
      553*T1^4*T2 - 49*T1^5*T2 - 357*T1^6*T2 + 343*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 896*T1^2*T2^2 + 419*T1^3*T2^2 + 
      1387*T1^4*T2^2 - 2662*T1^5*T2^2 + 2479*T1^6*T2^2 - 925*T1^7*T2^2 - 
      56*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 195*T2^3 - 777*T1*T2^3 + 
      419*T1^2*T2^3 + 1744*T1^3*T2^3 - 5064*T1^4*T2^3 + 4483*T1^5*T2^3 - 
      1139*T1^6*T2^3 - 2562*T1^7*T2^3 + 2308*T1^8*T2^3 - 862*T1^9*T2^3 - 
      105*T1^10*T2^3 + 78*T1^11*T2^3 - 235*T2^4 + 553*T1*T2^4 + 
      1387*T1^2*T2^4 - 5064*T1^3*T2^4 + 7503*T1^4*T2^4 - 1608*T1^5*T2^4 - 
      4413*T1^6*T2^4 + 6572*T1^7*T2^4 - 1321*T1^8*T2^4 - 1476*T1^9*T2^4 + 
      1513*T1^10*T2^4 - 217*T1^11*T2^4 - 47*T1^12*T2^4 + 195*T2^5 - 
      49*T1*T2^5 - 2662*T1^2*T2^5 + 4483*T1^3*T2^5 - 1608*T1^4*T2^5 - 
      9623*T1^5*T2^5 + 11464*T1^6*T2^5 - 5210*T1^7*T2^5 - 5981*T1^8*T2^5 + 
      5775*T1^9*T2^5 - 2087*T1^10*T2^5 - 667*T1^11*T2^5 + 329*T1^12*T2^5 - 
      105*T2^6 - 357*T1*T2^6 + 2479*T1^2*T2^6 - 1139*T1^3*T2^6 - 
      4413*T1^4*T2^6 + 11464*T1^5*T2^6 - 1018*T1^6*T2^6 - 11662*T1^7*T2^6 + 
      17882*T1^8*T2^6 - 6386*T1^9*T2^6 - 1599*T1^10*T2^6 + 3061*T1^11*T2^6 - 
      545*T1^12*T2^6 - 147*T1^13*T2^6 + 21*T1^14*T2^6 + 35*T2^7 + 
      343*T1*T2^7 - 925*T1^2*T2^7 - 2562*T1^3*T2^7 + 6572*T1^4*T2^7 - 
      5210*T1^5*T2^7 - 11662*T1^6*T2^7 + 18652*T1^7*T2^7 - 11754*T1^8*T2^7 - 
      5989*T1^9*T2^7 + 9112*T1^10*T2^7 - 3999*T1^11*T2^7 - 720*T1^12*T2^7 + 
      734*T1^13*T2^7 - 49*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 
      56*T1^2*T2^8 + 2308*T1^3*T2^8 - 1321*T1^4*T2^8 - 5981*T1^5*T2^8 + 
      17882*T1^6*T2^8 - 11754*T1^7*T2^8 - 4584*T1^8*T2^8 + 16714*T1^9*T2^8 - 
      9616*T1^10*T2^8 - 431*T1^11*T2^8 + 3339*T1^12*T2^8 - 1136*T1^13*T2^8 - 
      182*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 
      245*T1^2*T2^9 - 862*T1^3*T2^9 - 1476*T1^4*T2^9 + 5775*T1^5*T2^9 - 
      6386*T1^6*T2^9 - 5989*T1^7*T2^9 + 16714*T1^8*T2^9 - 13692*T1^9*T2^9 - 
      316*T1^10*T2^9 + 7936*T1^11*T2^9 - 4796*T1^12*T2^9 + 366*T1^13*T2^9 + 
      797*T1^14*T2^9 - 147*T1^15*T2^9 - 21*T1^16*T2^9 - 63*T1^2*T2^10 - 
      105*T1^3*T2^10 + 1513*T1^4*T2^10 - 2087*T1^5*T2^10 - 1599*T1^6*T2^10 + 
      9112*T1^7*T2^10 - 9616*T1^8*T2^10 - 316*T1^9*T2^10 + 9284*T1^10*T2^10 - 
      8738*T1^11*T2^10 + 1215*T1^12*T2^10 + 2113*T1^13*T2^10 - 
      1511*T1^14*T2^10 + 105*T1^15*T2^10 + 63*T1^16*T2^10 + 78*T1^3*T2^11 - 
      217*T1^4*T2^11 - 667*T1^5*T2^11 + 3061*T1^6*T2^11 - 3999*T1^7*T2^11 - 
      431*T1^8*T2^11 + 7936*T1^9*T2^11 - 8738*T1^10*T2^11 + 
      3211*T1^11*T2^11 + 3384*T1^12*T2^11 - 3509*T1^13*T2^11 + 
      1328*T1^14*T2^11 + 161*T1^15*T2^11 - 117*T1^16*T2^11 - 47*T1^4*T2^12 + 
      329*T1^5*T2^12 - 545*T1^6*T2^12 - 720*T1^7*T2^12 + 3339*T1^8*T2^12 - 
      4796*T1^9*T2^12 + 1215*T1^10*T2^12 + 3384*T1^11*T2^12 - 
      5485*T1^12*T2^12 + 2868*T1^13*T2^12 - 419*T1^14*T2^12 - 
      441*T1^15*T2^12 + 141*T1^16*T2^12 - 147*T1^6*T2^13 + 734*T1^7*T2^13 - 
      1136*T1^8*T2^13 + 366*T1^9*T2^13 + 2113*T1^10*T2^13 - 
      3509*T1^11*T2^13 + 2868*T1^12*T2^13 - 572*T1^13*T2^13 - 
      547*T1^14*T2^13 + 525*T1^15*T2^13 - 117*T1^16*T2^13 + 21*T1^6*T2^14 - 
      49*T1^7*T2^14 - 182*T1^8*T2^14 + 797*T1^9*T2^14 - 1511*T1^10*T2^14 + 
      1328*T1^11*T2^14 - 419*T1^12*T2^14 - 547*T1^13*T2^14 + 
      658*T1^14*T2^14 - 343*T1^15*T2^14 + 63*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 147*T1^9*T2^15 + 105*T1^10*T2^15 + 161*T1^11*T2^15 - 
      441*T1^12*T2^15 + 525*T1^13*T2^15 - 343*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 63*T1^10*T2^16 - 
      117*T1^11*T2^16 + 141*T1^12*T2^16 - 117*T1^13*T2^16 + 63*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 172] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 213*T1 - 538*T1^2 + 699*T1^3 - 538*T1^4 + 213*T1^5 - 33*T1^6 + 
     213*T2 - 1214*T1*T2 + 2437*T1^2*T2 - 1899*T1^3*T2 + 77*T1^4*T2 + 
     1241*T1^5*T2 - 824*T1^6*T2 + 161*T1^7*T2 - 538*T2^2 + 2437*T1*T2^2 - 
     2387*T1^2*T2^2 - 3642*T1^3*T2^2 + 8647*T1^4*T2^2 - 7602*T1^5*T2^2 + 
     1705*T1^6*T2^2 + 721*T1^7*T2^2 - 274*T1^8*T2^2 + 699*T2^3 - 
     1899*T1*T2^3 - 3642*T1^2*T2^3 + 16533*T1^3*T2^3 - 16663*T1^4*T2^3 + 
     4073*T1^5*T2^3 + 8409*T1^6*T2^3 - 5721*T1^7*T2^3 + 597*T1^8*T2^3 + 
     183*T1^9*T2^3 - 538*T2^4 + 77*T1*T2^4 + 8647*T1^2*T2^4 - 
     16663*T1^3*T2^4 - 877*T1^4*T2^4 + 22815*T1^5*T2^4 - 26233*T1^6*T2^4 + 
     6643*T1^7*T2^4 + 2825*T1^8*T2^4 - 1119*T1^9*T2^4 - 10*T1^10*T2^4 + 
     213*T2^5 + 1241*T1*T2^5 - 7602*T1^2*T2^5 + 4073*T1^3*T2^5 + 
     22815*T1^4*T2^5 - 34164*T1^5*T2^5 + 16428*T1^6*T2^5 + 11166*T1^7*T2^5 - 
     11523*T1^8*T2^5 + 2001*T1^9*T2^5 + 357*T1^10*T2^5 - 47*T1^11*T2^5 - 
     33*T2^6 - 824*T1*T2^6 + 1705*T1^2*T2^6 + 8409*T1^3*T2^6 - 
     26233*T1^4*T2^6 + 16428*T1^5*T2^6 + 12660*T1^6*T2^6 - 28268*T1^7*T2^6 + 
     13009*T1^8*T2^6 + 1371*T1^9*T2^6 - 1935*T1^10*T2^6 + 216*T1^11*T2^6 + 
     15*T1^12*T2^6 + 161*T1*T2^7 + 721*T1^2*T2^7 - 5721*T1^3*T2^7 + 
     6643*T1^4*T2^7 + 11166*T1^5*T2^7 - 28268*T1^6*T2^7 + 22324*T1^7*T2^7 - 
     483*T1^8*T2^7 - 8953*T1^9*T2^7 + 3882*T1^10*T2^7 - 163*T1^11*T2^7 - 
     99*T1^12*T2^7 - 274*T1^2*T2^8 + 597*T1^3*T2^8 + 2825*T1^4*T2^8 - 
     11523*T1^5*T2^8 + 13009*T1^6*T2^8 - 483*T1^7*T2^8 - 12347*T1^8*T2^8 + 
     11783*T1^9*T2^8 - 2997*T1^10*T2^8 - 599*T1^11*T2^8 + 254*T1^12*T2^8 + 
     183*T1^3*T2^9 - 1119*T1^4*T2^9 + 2001*T1^5*T2^9 + 1371*T1^6*T2^9 - 
     8953*T1^7*T2^9 + 11783*T1^8*T2^9 - 6753*T1^9*T2^9 - 78*T1^10*T2^9 + 
     1377*T1^11*T2^9 - 333*T1^12*T2^9 - 10*T1^4*T2^10 + 357*T1^5*T2^10 - 
     1935*T1^6*T2^10 + 3882*T1^7*T2^10 - 2997*T1^8*T2^10 - 78*T1^9*T2^10 + 
     2157*T1^10*T2^10 - 1359*T1^11*T2^10 + 254*T1^12*T2^10 - 47*T1^5*T2^11 + 
     216*T1^6*T2^11 - 163*T1^7*T2^11 - 599*T1^8*T2^11 + 1377*T1^9*T2^11 - 
     1359*T1^10*T2^11 + 606*T1^11*T2^11 - 99*T1^12*T2^11 + 15*T1^6*T2^12 - 
     99*T1^7*T2^12 + 254*T1^8*T2^12 - 333*T1^9*T2^12 + 254*T1^10*T2^12 - 
     99*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 173] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 524*T1^2 + 703*T1^3 - 524*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 2243*T1^2*T2 - 1839*T1^3*T2 - 39*T1^4*T2 + 
     1187*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 524*T2^2 + 2243*T1*T2^2 - 
     3300*T1^2*T2^2 - 1288*T1^3*T2^2 + 6300*T1^4*T2^2 - 5256*T1^5*T2^2 + 
     540*T1^6*T2^2 + 707*T1^7*T2^2 - 268*T1^8*T2^2 + 703*T2^3 - 
     1839*T1*T2^3 - 1288*T1^2*T2^3 + 12964*T1^3*T2^3 - 14910*T1^4*T2^3 + 
     2538*T1^5*T2^3 + 7678*T1^6*T2^3 - 4168*T1^7*T2^3 + 489*T1^8*T2^3 + 
     187*T1^9*T2^3 - 524*T2^4 - 39*T1*T2^4 + 6300*T1^2*T2^4 - 
     14910*T1^3*T2^4 - 390*T1^4*T2^4 + 23992*T1^5*T2^4 - 24702*T1^6*T2^4 + 
     5042*T1^7*T2^4 + 2108*T1^8*T2^4 - 1047*T1^9*T2^4 - 12*T1^10*T2^4 + 
     197*T2^5 + 1187*T1*T2^5 - 5256*T1^2*T2^5 + 2538*T1^3*T2^5 + 
     23992*T1^4*T2^5 - 37910*T1^5*T2^5 + 16282*T1^6*T2^5 + 11448*T1^7*T2^5 - 
     9902*T1^8*T2^5 + 1976*T1^9*T2^5 + 323*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 540*T1^2*T2^6 + 7678*T1^3*T2^6 - 
     24702*T1^4*T2^6 + 16282*T1^5*T2^6 + 15732*T1^6*T2^6 - 30214*T1^7*T2^6 + 
     12738*T1^8*T2^6 + 502*T1^9*T2^6 - 1508*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 707*T1^2*T2^7 - 4168*T1^3*T2^7 + 
     5042*T1^4*T2^7 + 11448*T1^5*T2^7 - 30214*T1^6*T2^7 + 23978*T1^7*T2^7 - 
     1096*T1^8*T2^7 - 7398*T1^9*T2^7 + 3064*T1^10*T2^7 - 157*T1^11*T2^7 - 
     91*T1^12*T2^7 - 268*T1^2*T2^8 + 489*T1^3*T2^8 + 2108*T1^4*T2^8 - 
     9902*T1^5*T2^8 + 12738*T1^6*T2^8 - 1096*T1^7*T2^8 - 11574*T1^8*T2^8 + 
     10050*T1^9*T2^8 - 2084*T1^10*T2^8 - 519*T1^11*T2^8 + 244*T1^12*T2^8 + 
     187*T1^3*T2^9 - 1047*T1^4*T2^9 + 1976*T1^5*T2^9 + 502*T1^6*T2^9 - 
     7398*T1^7*T2^9 + 10050*T1^8*T2^9 - 4784*T1^9*T2^9 - 904*T1^10*T2^9 + 
     1281*T1^11*T2^9 - 329*T1^12*T2^9 - 12*T1^4*T2^10 + 323*T1^5*T2^10 - 
     1508*T1^6*T2^10 + 3064*T1^7*T2^10 - 2084*T1^8*T2^10 - 904*T1^9*T2^10 + 
     2332*T1^10*T2^10 - 1213*T1^11*T2^10 + 244*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 157*T1^7*T2^11 - 519*T1^8*T2^11 + 1281*T1^9*T2^11 - 
     1213*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 244*T1^8*T2^12 - 329*T1^9*T2^12 + 244*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 174] -> 
  {-((1 - 5*T + 11*T^2 - 15*T^3 + 15*T^4 - 15*T^5 + 11*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 45*T1^4 + 45*T1^5 - 33*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 115*T1^2*T2 - 115*T1^3*T2 + 
      75*T1^4*T2 - 75*T1^5*T2 + 15*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 33*T2^2 + 115*T1*T2^2 - 123*T1^2*T2^2 - T1^3*T2^2 + 
      131*T1^4*T2^2 - 83*T1^5*T2^2 + 219*T1^6*T2^2 - 221*T1^7*T2^2 + 
      97*T1^8*T2^2 + 5*T1^9*T2^2 - 11*T1^10*T2^2 + 45*T2^3 - 115*T1*T2^3 - 
      T1^2*T2^3 + 252*T1^3*T2^3 - 346*T1^4*T2^3 + 130*T1^5*T2^3 - 
      350*T1^6*T2^3 + 184*T1^7*T2^3 + 92*T1^8*T2^3 - 166*T1^9*T2^3 + 
      55*T1^10*T2^3 - 45*T2^4 + 75*T1*T2^4 + 131*T1^2*T2^4 - 346*T1^3*T2^4 + 
      238*T1^4*T2^4 + 132*T1^5*T2^4 + 224*T1^6*T2^4 + 132*T1^7*T2^4 - 
      422*T1^8*T2^4 + 254*T1^9*T2^4 + 41*T1^10*T2^4 - 75*T1^11*T2^4 + 
      15*T1^12*T2^4 + 45*T2^5 - 75*T1*T2^5 - 83*T1^2*T2^5 + 130*T1^3*T2^5 + 
      132*T1^4*T2^5 - 465*T1^5*T2^5 - 85*T1^6*T2^5 - 385*T1^7*T2^5 + 
      525*T1^8*T2^5 - 33*T1^9*T2^5 - 230*T1^10*T2^5 + 52*T1^11*T2^5 + 
      75*T1^12*T2^5 - 30*T1^13*T2^5 - 33*T2^6 + 15*T1*T2^6 + 219*T1^2*T2^6 - 
      350*T1^3*T2^6 + 224*T1^4*T2^6 - 85*T1^5*T2^6 + 644*T1^6*T2^6 + 
      176*T1^7*T2^6 - 376*T1^8*T2^6 - 175*T1^9*T2^6 + 14*T1^10*T2^6 + 
      310*T1^11*T2^6 - 225*T1^12*T2^6 - 15*T1^13*T2^6 + 33*T1^14*T2^6 + 
      15*T2^7 + 35*T1*T2^7 - 221*T1^2*T2^7 + 184*T1^3*T2^7 + 132*T1^4*T2^7 - 
      385*T1^5*T2^7 + 176*T1^6*T2^7 - 1120*T1^7*T2^7 + 810*T1^8*T2^7 + 
      141*T1^9*T2^7 + 335*T1^10*T2^7 - 363*T1^11*T2^7 - 66*T1^12*T2^7 + 
      274*T1^13*T2^7 - 65*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      97*T1^2*T2^8 + 92*T1^3*T2^8 - 422*T1^4*T2^8 + 525*T1^5*T2^8 - 
      376*T1^6*T2^8 + 810*T1^7*T2^8 - 12*T1^8*T2^8 - 770*T1^9*T2^8 - 
      262*T1^10*T2^8 - 105*T1^11*T2^8 + 522*T1^12*T2^8 - 348*T1^13*T2^8 - 
      81*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      5*T1^2*T2^9 - 166*T1^3*T2^9 + 254*T1^4*T2^9 - 33*T1^5*T2^9 - 
      175*T1^6*T2^9 + 141*T1^7*T2^9 - 770*T1^8*T2^9 + 1160*T1^9*T2^9 + 
      106*T1^10*T2^9 + 545*T1^11*T2^9 - 528*T1^12*T2^9 + 4*T1^13*T2^9 + 
      329*T1^14*T2^9 - 95*T1^15*T2^9 - 25*T1^16*T2^9 - 11*T1^2*T2^10 + 
      55*T1^3*T2^10 + 41*T1^4*T2^10 - 230*T1^5*T2^10 + 14*T1^6*T2^10 + 
      335*T1^7*T2^10 - 262*T1^8*T2^10 + 106*T1^9*T2^10 - 1282*T1^10*T2^10 + 
      245*T1^11*T2^10 - 196*T1^12*T2^10 + 430*T1^13*T2^10 - 403*T1^14*T2^10 + 
      25*T1^15*T2^10 + 55*T1^16*T2^10 - 75*T1^4*T2^11 + 52*T1^5*T2^11 + 
      310*T1^6*T2^11 - 363*T1^7*T2^11 - 105*T1^8*T2^11 + 545*T1^9*T2^11 + 
      245*T1^10*T2^11 + 885*T1^11*T2^11 - 528*T1^12*T2^11 - 50*T1^13*T2^11 + 
      187*T1^14*T2^11 + 75*T1^15*T2^11 - 75*T1^16*T2^11 + 15*T1^4*T2^12 + 
      75*T1^5*T2^12 - 225*T1^6*T2^12 - 66*T1^7*T2^12 + 522*T1^8*T2^12 - 
      528*T1^9*T2^12 - 196*T1^10*T2^12 - 528*T1^11*T2^12 - 138*T1^12*T2^12 + 
      534*T1^13*T2^12 - 315*T1^14*T2^12 - 75*T1^15*T2^12 + 75*T1^16*T2^12 - 
      30*T1^5*T2^13 - 15*T1^6*T2^13 + 274*T1^7*T2^13 - 348*T1^8*T2^13 + 
      4*T1^9*T2^13 + 430*T1^10*T2^13 - 50*T1^11*T2^13 + 534*T1^12*T2^13 - 
      508*T1^13*T2^13 + 109*T1^14*T2^13 + 155*T1^15*T2^13 - 75*T1^16*T2^13 + 
      33*T1^6*T2^14 - 65*T1^7*T2^14 - 81*T1^8*T2^14 + 329*T1^9*T2^14 - 
      403*T1^10*T2^14 + 187*T1^11*T2^14 - 315*T1^12*T2^14 + 109*T1^13*T2^14 + 
      139*T1^14*T2^14 - 175*T1^15*T2^14 + 55*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 95*T1^9*T2^15 + 25*T1^10*T2^15 + 75*T1^11*T2^15 - 
      75*T1^12*T2^15 + 155*T1^13*T2^15 - 175*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 55*T1^10*T2^16 - 
      75*T1^11*T2^16 + 75*T1^12*T2^16 - 75*T1^13*T2^16 + 55*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 175] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-4 + 20*T1 - 52*T1^2 + 84*T1^3 - 100*T1^4 + 84*T1^5 - 52*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 185*T1^2*T2 - 225*T1^3*T2 + 185*T1^4*T2 - 
     45*T1^5*T2 - 55*T1^6*T2 + 95*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     52*T2^2 + 185*T1*T2^2 - 326*T1^2*T2^2 + 246*T1^3*T2^2 - 66*T1^4*T2^2 - 
     230*T1^5*T2^2 + 246*T1^6*T2^2 - 170*T1^7*T2^2 - 14*T1^8*T2^2 + 
     55*T1^9*T2^2 - 26*T1^10*T2^2 + 84*T2^3 - 225*T1*T2^3 + 246*T1^2*T2^3 + 
     134*T1^3*T2^3 - 382*T1^4*T2^3 + 634*T1^5*T2^3 - 214*T1^6*T2^3 - 
     62*T1^7*T2^3 + 350*T1^8*T2^3 - 183*T1^9*T2^3 + 25*T1^10*T2^3 + 
     21*T1^11*T2^3 - 100*T2^4 + 185*T1*T2^4 - 66*T1^2*T2^4 - 382*T1^3*T2^4 + 
     192*T1^4*T2^4 - 64*T1^5*T2^4 - 844*T1^6*T2^4 + 856*T1^7*T2^4 - 
     768*T1^8*T2^4 + 38*T1^9*T2^4 + 184*T1^10*T2^4 - 105*T1^11*T2^4 + 
     84*T2^5 - 45*T1*T2^5 - 230*T1^2*T2^5 + 634*T1^3*T2^5 - 64*T1^4*T2^5 - 
     111*T1^5*T2^5 + 1107*T1^6*T2^5 - 591*T1^7*T2^5 + 231*T1^8*T2^5 + 
     647*T1^9*T2^5 - 398*T1^10*T2^5 + 7*T1^11*T2^5 + 105*T1^12*T2^5 - 
     21*T1^13*T2^5 - 52*T2^6 - 55*T1*T2^6 + 246*T1^2*T2^6 - 214*T1^3*T2^6 - 
     844*T1^4*T2^6 + 1107*T1^5*T2^6 - 1980*T1^6*T2^6 + 756*T1^7*T2^6 + 
     36*T1^8*T2^6 - 851*T1^9*T2^6 + 86*T1^10*T2^6 + 358*T1^11*T2^6 - 
     190*T1^12*T2^6 - 25*T1^13*T2^6 + 26*T1^14*T2^6 + 20*T2^7 + 95*T1*T2^7 - 
     170*T1^2*T2^7 - 62*T1^3*T2^7 + 856*T1^4*T2^7 - 591*T1^5*T2^7 + 
     756*T1^6*T2^7 + 808*T1^7*T2^7 - 1136*T1^8*T2^7 + 731*T1^9*T2^7 + 
     587*T1^10*T2^7 - 691*T1^11*T2^7 + 18*T1^12*T2^7 + 181*T1^13*T2^7 - 
     55*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 14*T1^2*T2^8 + 
     350*T1^3*T2^8 - 768*T1^4*T2^8 + 231*T1^5*T2^8 + 36*T1^6*T2^8 - 
     1136*T1^7*T2^8 + 744*T1^8*T2^8 + 392*T1^9*T2^8 - 898*T1^10*T2^8 + 
     201*T1^11*T2^8 + 660*T1^12*T2^8 - 366*T1^13*T2^8 + 16*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 55*T1^2*T2^9 - 
     183*T1^3*T2^9 + 38*T1^4*T2^9 + 647*T1^5*T2^9 - 851*T1^6*T2^9 + 
     731*T1^7*T2^9 + 392*T1^8*T2^9 - 1552*T1^9*T2^9 + 706*T1^10*T2^9 + 
     327*T1^11*T2^9 - 900*T1^12*T2^9 + 118*T1^13*T2^9 + 168*T1^14*T2^9 - 
     95*T1^15*T2^9 - 20*T1^16*T2^9 - 26*T1^2*T2^10 + 25*T1^3*T2^10 + 
     184*T1^4*T2^10 - 398*T1^5*T2^10 + 86*T1^6*T2^10 + 587*T1^7*T2^10 - 
     898*T1^8*T2^10 + 706*T1^9*T2^10 + 1118*T1^10*T2^10 - 1371*T1^11*T2^10 + 
     1016*T1^12*T2^10 + 174*T1^13*T2^10 - 252*T1^14*T2^10 + 55*T1^15*T2^10 + 
     52*T1^16*T2^10 + 21*T1^3*T2^11 - 105*T1^4*T2^11 + 7*T1^5*T2^11 + 
     358*T1^6*T2^11 - 691*T1^7*T2^11 + 201*T1^8*T2^11 + 327*T1^9*T2^11 - 
     1371*T1^10*T2^11 + 543*T1^11*T2^11 + 20*T1^12*T2^11 - 674*T1^13*T2^11 + 
     244*T1^14*T2^11 + 45*T1^15*T2^11 - 84*T1^16*T2^11 + 105*T1^5*T2^12 - 
     190*T1^6*T2^12 + 18*T1^7*T2^12 + 660*T1^8*T2^12 - 900*T1^9*T2^12 + 
     1016*T1^10*T2^12 + 20*T1^11*T2^12 - 300*T1^12*T2^12 + 438*T1^13*T2^12 + 
     60*T1^14*T2^12 - 185*T1^15*T2^12 + 100*T1^16*T2^12 - 21*T1^5*T2^13 - 
     25*T1^6*T2^13 + 181*T1^7*T2^13 - 366*T1^8*T2^13 + 118*T1^9*T2^13 + 
     174*T1^10*T2^13 - 674*T1^11*T2^13 + 438*T1^12*T2^13 - 150*T1^13*T2^13 - 
     248*T1^14*T2^13 + 225*T1^15*T2^13 - 84*T1^16*T2^13 + 26*T1^6*T2^14 - 
     55*T1^7*T2^14 + 16*T1^8*T2^14 + 168*T1^9*T2^14 - 252*T1^10*T2^14 + 
     244*T1^11*T2^14 + 60*T1^12*T2^14 - 248*T1^13*T2^14 + 328*T1^14*T2^14 - 
     185*T1^15*T2^14 + 52*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 
     95*T1^9*T2^15 + 55*T1^10*T2^15 + 45*T1^11*T2^15 - 185*T1^12*T2^15 + 
     225*T1^13*T2^15 - 185*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 
     4*T1^8*T2^16 - 20*T1^9*T2^16 + 52*T1^10*T2^16 - 84*T1^11*T2^16 + 
     100*T1^12*T2^16 - 84*T1^13*T2^16 + 52*T1^14*T2^16 - 20*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 176] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4), 
   -((-5 + 25*T1 - 65*T1^2 + 115*T1^3 - 135*T1^4 + 115*T1^5 - 65*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 225*T1^2*T2 - 315*T1^3*T2 + 
      215*T1^4*T2 - 35*T1^5*T2 - 135*T1^6*T2 + 135*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 65*T2^2 + 225*T1*T2^2 - 383*T1^2*T2^2 + 387*T1^3*T2^2 + 
      45*T1^4*T2^2 - 319*T1^5*T2^2 + 409*T1^6*T2^2 - 81*T1^7*T2^2 - 
      71*T1^8*T2^2 + 95*T1^9*T2^2 - 39*T1^10*T2^2 + 115*T2^3 - 315*T1*T2^3 + 
      387*T1^2*T2^3 - 188*T1^3*T2^3 - 586*T1^4*T2^3 + 504*T1^5*T2^3 - 
      262*T1^6*T2^3 - 454*T1^7*T2^3 + 298*T1^8*T2^3 - 120*T1^9*T2^3 - 
      35*T1^10*T2^3 + 46*T1^11*T2^3 - 135*T2^4 + 215*T1*T2^4 + 45*T1^2*T2^4 - 
      586*T1^3*T2^4 + 1505*T1^4*T2^4 - 525*T1^5*T2^4 + 25*T1^6*T2^4 + 
      751*T1^7*T2^4 + 173*T1^8*T2^4 - 310*T1^9*T2^4 + 299*T1^10*T2^4 - 
      95*T1^11*T2^4 - 27*T1^12*T2^4 + 115*T2^5 - 35*T1*T2^5 - 319*T1^2*T2^5 + 
      504*T1^3*T2^5 - 525*T1^4*T2^5 - 1651*T1^5*T2^5 + 1397*T1^6*T2^5 - 
      1043*T1^7*T2^5 - 1087*T1^8*T2^5 + 708*T1^9*T2^5 - 322*T1^10*T2^5 - 
      88*T1^11*T2^5 + 135*T1^12*T2^5 - 65*T2^6 - 135*T1*T2^6 + 
      409*T1^2*T2^6 - 262*T1^3*T2^6 + 25*T1^4*T2^6 + 1397*T1^5*T2^6 + 
      1062*T1^6*T2^6 - 2256*T1^7*T2^6 + 3546*T1^8*T2^6 - 1073*T1^9*T2^6 - 
      25*T1^10*T2^6 + 414*T1^11*T2^6 - 175*T1^12*T2^6 - 65*T1^13*T2^6 + 
      13*T1^14*T2^6 + 25*T2^7 + 135*T1*T2^7 - 81*T1^2*T2^7 - 454*T1^3*T2^7 + 
      751*T1^4*T2^7 - 1043*T1^5*T2^7 - 2256*T1^6*T2^7 + 2516*T1^7*T2^7 - 
      1882*T1^8*T2^7 - 1259*T1^9*T2^7 + 1337*T1^10*T2^7 - 654*T1^11*T2^7 - 
      10*T1^12*T2^7 + 192*T1^13*T2^7 - 15*T1^14*T2^7 - 10*T1^15*T2^7 - 
      5*T2^8 - 75*T1*T2^8 - 71*T1^2*T2^8 + 298*T1^3*T2^8 + 173*T1^4*T2^8 - 
      1087*T1^5*T2^8 + 3546*T1^6*T2^8 - 1882*T1^7*T2^8 - 384*T1^8*T2^8 + 
      2522*T1^9*T2^8 - 1268*T1^10*T2^8 - 73*T1^11*T2^8 + 437*T1^12*T2^8 - 
      258*T1^13*T2^8 - 41*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 
      20*T1*T2^9 + 95*T1^2*T2^9 - 120*T1^3*T2^9 - 310*T1^4*T2^9 + 
      708*T1^5*T2^9 - 1073*T1^6*T2^9 - 1259*T1^7*T2^9 + 2522*T1^8*T2^9 - 
      1876*T1^9*T2^9 - 262*T1^10*T2^9 + 1307*T1^11*T2^9 - 697*T1^12*T2^9 + 
      134*T1^13*T2^9 + 153*T1^14*T2^9 - 55*T1^15*T2^9 - 15*T1^16*T2^9 - 
      39*T1^2*T2^10 - 35*T1^3*T2^10 + 299*T1^4*T2^10 - 322*T1^5*T2^10 - 
      25*T1^6*T2^10 + 1337*T1^7*T2^10 - 1268*T1^8*T2^10 - 262*T1^9*T2^10 + 
      1216*T1^10*T2^10 - 1133*T1^11*T2^10 - 75*T1^12*T2^10 + 
      354*T1^13*T2^10 - 285*T1^14*T2^10 + 35*T1^15*T2^10 + 39*T1^16*T2^10 + 
      46*T1^3*T2^11 - 95*T1^4*T2^11 - 88*T1^5*T2^11 + 414*T1^6*T2^11 - 
      654*T1^7*T2^11 - 73*T1^8*T2^11 + 1307*T1^9*T2^11 - 1133*T1^10*T2^11 + 
      491*T1^11*T2^11 + 579*T1^12*T2^11 - 412*T1^13*T2^11 + 143*T1^14*T2^11 + 
      75*T1^15*T2^11 - 69*T1^16*T2^11 - 27*T1^4*T2^12 + 135*T1^5*T2^12 - 
      175*T1^6*T2^12 - 10*T1^7*T2^12 + 437*T1^8*T2^12 - 697*T1^9*T2^12 - 
      75*T1^10*T2^12 + 579*T1^11*T2^12 - 895*T1^12*T2^12 + 266*T1^13*T2^12 + 
      79*T1^14*T2^12 - 175*T1^15*T2^12 + 81*T1^16*T2^12 - 65*T1^6*T2^13 + 
      192*T1^7*T2^13 - 258*T1^8*T2^13 + 134*T1^9*T2^13 + 354*T1^10*T2^13 - 
      412*T1^11*T2^13 + 266*T1^12*T2^13 + 228*T1^13*T2^13 - 315*T1^14*T2^13 + 
      215*T1^15*T2^13 - 69*T1^16*T2^13 + 13*T1^6*T2^14 - 15*T1^7*T2^14 - 
      41*T1^8*T2^14 + 153*T1^9*T2^14 - 285*T1^10*T2^14 + 143*T1^11*T2^14 + 
      79*T1^12*T2^14 - 315*T1^13*T2^14 + 271*T1^14*T2^14 - 145*T1^15*T2^14 + 
      39*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 55*T1^9*T2^15 + 
      35*T1^10*T2^15 + 75*T1^11*T2^15 - 175*T1^12*T2^15 + 215*T1^13*T2^15 - 
      145*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 39*T1^10*T2^16 - 69*T1^11*T2^16 + 81*T1^12*T2^16 - 
      69*T1^13*T2^16 + 39*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 177] -> 
  {(1 - 5*T + 13*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 78*T1^2 + 114*T1^3 - 126*T1^4 + 114*T1^5 - 78*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 265*T1^2*T2 - 245*T1^3*T2 + 
     155*T1^4*T2 - 45*T1^5*T2 - 85*T1^6*T2 + 175*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 78*T2^2 + 265*T1*T2^2 - 440*T1^2*T2^2 + 110*T1^3*T2^2 + 
     78*T1^4*T2^2 - 176*T1^5*T2^2 + 286*T1^6*T2^2 - 254*T1^7*T2^2 - 
     128*T1^8*T2^2 + 135*T1^9*T2^2 - 52*T1^10*T2^2 + 114*T2^3 - 245*T1*T2^3 + 
     110*T1^2*T2^3 + 842*T1^3*T2^3 - 732*T1^4*T2^3 + 480*T1^5*T2^3 - 
     296*T1^6*T2^3 - 134*T1^7*T2^3 + 812*T1^8*T2^3 - 241*T1^9*T2^3 - 
     25*T1^10*T2^3 + 57*T1^11*T2^3 - 126*T2^4 + 155*T1*T2^4 + 78*T1^2*T2^4 - 
     732*T1^3*T2^4 - 952*T1^4*T2^4 + 1784*T1^5*T2^4 - 1988*T1^6*T2^4 + 
     2128*T1^7*T2^4 - 1932*T1^8*T2^4 - 48*T1^9*T2^4 + 220*T1^10*T2^4 - 
     75*T1^11*T2^4 - 42*T1^12*T2^4 + 114*T2^5 - 45*T1*T2^5 - 176*T1^2*T2^5 + 
     480*T1^3*T2^5 + 1784*T1^4*T2^5 - 1541*T1^5*T2^5 + 911*T1^6*T2^5 - 
     599*T1^7*T2^5 + 73*T1^8*T2^5 + 1643*T1^9*T2^5 - 328*T1^10*T2^5 - 
     83*T1^11*T2^5 + 115*T1^12*T2^5 + 19*T1^13*T2^5 - 78*T2^6 - 85*T1*T2^6 + 
     286*T1^2*T2^6 - 296*T1^3*T2^6 - 1988*T1^4*T2^6 + 911*T1^5*T2^6 - 
     415*T1^6*T2^6 + 571*T1^7*T2^6 - 431*T1^8*T2^6 - 615*T1^9*T2^6 - 
     1018*T1^10*T2^6 + 432*T1^11*T2^6 - 54*T1^12*T2^6 - 95*T1^13*T2^6 + 
     30*T2^7 + 175*T1*T2^7 - 254*T1^2*T2^7 - 134*T1^3*T2^7 + 2128*T1^4*T2^7 - 
     599*T1^5*T2^7 + 571*T1^6*T2^7 - 1178*T1^7*T2^7 + 934*T1^8*T2^7 + 
     118*T1^9*T2^7 + 879*T1^10*T2^7 + 329*T1^11*T2^7 - 388*T1^12*T2^7 + 
     175*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     128*T1^2*T2^8 + 812*T1^3*T2^8 - 1932*T1^4*T2^8 + 73*T1^5*T2^8 - 
     431*T1^6*T2^8 + 934*T1^7*T2^8 - 994*T1^9*T2^8 + 235*T1^10*T2^8 - 
     1109*T1^11*T2^8 + 564*T1^12*T2^8 - 48*T1^13*T2^8 - 98*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 135*T1^2*T2^9 - 
     241*T1^3*T2^9 - 48*T1^4*T2^9 + 1643*T1^5*T2^9 - 615*T1^6*T2^9 + 
     118*T1^7*T2^9 - 994*T1^8*T2^9 + 1118*T1^9*T2^9 - 335*T1^10*T2^9 + 
     863*T1^11*T2^9 - 156*T1^12*T2^9 - 302*T1^13*T2^9 + 188*T1^14*T2^9 - 
     15*T1^15*T2^9 - 10*T1^16*T2^9 - 52*T1^2*T2^10 - 25*T1^3*T2^10 + 
     220*T1^4*T2^10 - 328*T1^5*T2^10 - 1018*T1^6*T2^10 + 879*T1^7*T2^10 + 
     235*T1^8*T2^10 - 335*T1^9*T2^10 + 219*T1^10*T2^10 - 647*T1^11*T2^10 - 
     48*T1^12*T2^10 + 400*T1^13*T2^10 - 120*T1^14*T2^10 - 35*T1^15*T2^10 + 
     26*T1^16*T2^10 + 57*T1^3*T2^11 - 75*T1^4*T2^11 - 83*T1^5*T2^11 + 
     432*T1^6*T2^11 + 329*T1^7*T2^11 - 1109*T1^8*T2^11 + 863*T1^9*T2^11 - 
     647*T1^10*T2^11 + 505*T1^11*T2^11 + 188*T1^12*T2^11 - 376*T1^13*T2^11 + 
     10*T1^14*T2^11 + 85*T1^15*T2^11 - 38*T1^16*T2^11 - 42*T1^4*T2^12 + 
     115*T1^5*T2^12 - 54*T1^6*T2^12 - 388*T1^7*T2^12 + 564*T1^8*T2^12 - 
     156*T1^9*T2^12 - 48*T1^10*T2^12 + 188*T1^11*T2^12 - 416*T1^12*T2^12 + 
     296*T1^13*T2^12 + 88*T1^14*T2^12 - 115*T1^15*T2^12 + 42*T1^16*T2^12 + 
     19*T1^5*T2^13 - 95*T1^6*T2^13 + 175*T1^7*T2^13 - 48*T1^8*T2^13 - 
     302*T1^9*T2^13 + 400*T1^10*T2^13 - 376*T1^11*T2^13 + 296*T1^12*T2^13 - 
     78*T1^13*T2^13 - 176*T1^14*T2^13 + 125*T1^15*T2^13 - 38*T1^16*T2^13 + 
     25*T1^7*T2^14 - 98*T1^8*T2^14 + 188*T1^9*T2^14 - 120*T1^10*T2^14 + 
     10*T1^11*T2^14 + 88*T1^12*T2^14 - 176*T1^13*T2^14 + 214*T1^14*T2^14 - 
     105*T1^15*T2^14 + 26*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     15*T1^9*T2^15 - 35*T1^10*T2^15 + 85*T1^11*T2^15 - 115*T1^12*T2^15 + 
     125*T1^13*T2^15 - 105*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 26*T1^10*T2^16 - 38*T1^11*T2^16 + 
     42*T1^12*T2^16 - 38*T1^13*T2^16 + 26*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 178] -> 
  {(2 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 477*T1^2 + 641*T1^3 - 477*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1866*T1^2*T2 - 1538*T1^3*T2 - 42*T1^4*T2 + 
     986*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 477*T2^2 + 1866*T1*T2^2 - 
     3022*T1^2*T2^2 - 266*T1^3*T2^2 + 4196*T1^4*T2^2 - 3514*T1^5*T2^2 + 
     110*T1^6*T2^2 + 590*T1^7*T2^2 - 245*T1^8*T2^2 + 641*T2^3 - 
     1538*T1*T2^3 - 266*T1^2*T2^3 + 9061*T1^3*T2^3 - 10827*T1^4*T2^3 + 
     1505*T1^5*T2^3 + 5895*T1^6*T2^3 - 2905*T1^7*T2^3 + 398*T1^8*T2^3 + 
     173*T1^9*T2^3 - 477*T2^4 - 42*T1*T2^4 + 4196*T1^2*T2^4 - 
     10827*T1^3*T2^4 - 1147*T1^4*T2^4 + 19395*T1^5*T2^4 - 18907*T1^6*T2^4 + 
     3291*T1^7*T2^4 + 1486*T1^8*T2^4 - 878*T1^9*T2^4 - 13*T1^10*T2^4 + 
     181*T2^5 + 986*T1*T2^5 - 3514*T1^2*T2^5 + 1505*T1^3*T2^5 + 
     19395*T1^4*T2^5 - 29272*T1^5*T2^5 + 10786*T1^6*T2^5 + 10202*T1^7*T2^5 - 
     7255*T1^8*T2^5 + 1561*T1^9*T2^5 + 282*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 110*T1^2*T2^6 + 5895*T1^3*T2^6 - 
     18907*T1^4*T2^6 + 10786*T1^5*T2^6 + 14520*T1^6*T2^6 - 23506*T1^7*T2^6 + 
     8327*T1^8*T2^6 + 493*T1^9*T2^6 - 1154*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 590*T1^2*T2^7 - 2905*T1^3*T2^7 + 
     3291*T1^4*T2^7 + 10202*T1^5*T2^7 - 23506*T1^6*T2^7 + 16552*T1^7*T2^7 + 
     1009*T1^8*T2^7 - 5469*T1^9*T2^7 + 2170*T1^10*T2^7 - 114*T1^11*T2^7 - 
     83*T1^12*T2^7 - 245*T1^2*T2^8 + 398*T1^3*T2^8 + 1486*T1^4*T2^8 - 
     7255*T1^5*T2^8 + 8327*T1^6*T2^8 + 1009*T1^7*T2^8 - 9433*T1^8*T2^8 + 
     6863*T1^9*T2^8 - 1224*T1^10*T2^8 - 438*T1^11*T2^8 + 219*T1^12*T2^8 + 
     173*T1^3*T2^9 - 878*T1^4*T2^9 + 1561*T1^5*T2^9 + 493*T1^6*T2^9 - 
     5469*T1^7*T2^9 + 6863*T1^8*T2^9 - 2673*T1^9*T2^9 - 1078*T1^10*T2^9 + 
     1058*T1^11*T2^9 - 295*T1^12*T2^9 - 13*T1^4*T2^10 + 282*T1^5*T2^10 - 
     1154*T1^6*T2^10 + 2170*T1^7*T2^10 - 1224*T1^8*T2^10 - 1078*T1^9*T2^10 + 
     1978*T1^10*T2^10 - 994*T1^11*T2^10 + 219*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 114*T1^7*T2^11 - 438*T1^8*T2^11 + 1058*T1^9*T2^11 - 
     994*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 219*T1^8*T2^12 - 295*T1^9*T2^12 + 219*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 179] -> 
  {((1 - T + T^2)*(1 - 4*T + 4*T^2 - T^3 + 4*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 54*T1^2 + 54*T1^3 - 54*T1^4 + 54*T1^5 - 54*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 145*T1^2*T2 - 45*T1^3*T2 + 45*T1^4*T2 - 
     45*T1^5*T2 + 45*T1^6*T2 + 75*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     54*T2^2 + 145*T1*T2^2 + 102*T1^2*T2^2 - 458*T1^3*T2^2 + 318*T1^4*T2^2 - 
     318*T1^5*T2^2 + 318*T1^6*T2^2 - 530*T1^7*T2^2 + 246*T1^8*T2^2 + 
     55*T1^9*T2^2 - 36*T1^10*T2^2 + 54*T2^3 - 45*T1*T2^3 - 458*T1^2*T2^3 + 
     674*T1^3*T2^3 - 74*T1^4*T2^3 + 162*T1^5*T2^3 - 162*T1^6*T2^3 + 
     358*T1^7*T2^3 + 314*T1^8*T2^3 - 431*T1^9*T2^3 + 45*T1^10*T2^3 + 
     27*T1^11*T2^3 - 54*T2^4 + 45*T1*T2^4 + 318*T1^2*T2^4 - 74*T1^3*T2^4 - 
     724*T1^4*T2^4 + 328*T1^5*T2^4 - 360*T1^6*T2^4 + 184*T1^7*T2^4 - 
     796*T1^8*T2^4 + 322*T1^9*T2^4 + 192*T1^10*T2^4 - 45*T1^11*T2^4 - 
     18*T1^12*T2^4 + 54*T2^5 - 45*T1*T2^5 - 318*T1^2*T2^5 + 162*T1^3*T2^5 + 
     328*T1^4*T2^5 + 269*T1^5*T2^5 - 101*T1^6*T2^5 + 241*T1^7*T2^5 + 
     287*T1^8*T2^5 + 139*T1^9*T2^5 - 162*T1^10*T2^5 - 129*T1^11*T2^5 + 
     45*T1^12*T2^5 + 9*T1^13*T2^5 - 54*T2^6 + 45*T1*T2^6 + 318*T1^2*T2^6 - 
     162*T1^3*T2^6 - 360*T1^4*T2^6 - 101*T1^5*T2^6 - 238*T1^6*T2^6 + 
     134*T1^7*T2^6 - 526*T1^8*T2^6 + 205*T1^9*T2^6 - 198*T1^10*T2^6 + 
     162*T1^11*T2^6 + 66*T1^12*T2^6 - 45*T1^13*T2^6 + 30*T2^7 + 75*T1*T2^7 - 
     530*T1^2*T2^7 + 358*T1^3*T2^7 + 184*T1^4*T2^7 + 241*T1^5*T2^7 + 
     134*T1^6*T2^7 + 80*T1^7*T2^7 + 56*T1^8*T2^7 + 125*T1^9*T2^7 - 
     173*T1^10*T2^7 + 193*T1^11*T2^7 - 218*T1^12*T2^7 + 37*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 246*T1^2*T2^8 + 
     314*T1^3*T2^8 - 796*T1^4*T2^8 + 287*T1^5*T2^8 - 526*T1^6*T2^8 + 
     56*T1^7*T2^8 + 48*T1^8*T2^8 - 80*T1^9*T2^8 + 140*T1^10*T2^8 - 
     55*T1^11*T2^8 + 32*T1^12*T2^8 + 134*T1^13*T2^8 - 108*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 55*T1^2*T2^9 - 
     431*T1^3*T2^9 + 322*T1^4*T2^9 + 139*T1^5*T2^9 + 205*T1^6*T2^9 + 
     125*T1^7*T2^9 - 80*T1^8*T2^9 - 104*T1^9*T2^9 + 116*T1^10*T2^9 - 
     209*T1^11*T2^9 + 148*T1^12*T2^9 - 254*T1^13*T2^9 + 136*T1^14*T2^9 + 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 36*T1^2*T2^10 + 45*T1^3*T2^10 + 
     192*T1^4*T2^10 - 162*T1^5*T2^10 - 198*T1^6*T2^10 - 173*T1^7*T2^10 + 
     140*T1^8*T2^10 + 116*T1^9*T2^10 - 148*T1^10*T2^10 + 133*T1^11*T2^10 - 
     36*T1^12*T2^10 + 162*T1^13*T2^10 - 60*T1^14*T2^10 - 45*T1^15*T2^10 + 
     18*T1^16*T2^10 + 27*T1^3*T2^11 - 45*T1^4*T2^11 - 129*T1^5*T2^11 + 
     162*T1^6*T2^11 + 193*T1^7*T2^11 - 55*T1^8*T2^11 - 209*T1^9*T2^11 + 
     133*T1^10*T2^11 - 37*T1^11*T2^11 + 4*T1^12*T2^11 - 162*T1^13*T2^11 + 
     60*T1^14*T2^11 + 45*T1^15*T2^11 - 18*T1^16*T2^11 - 18*T1^4*T2^12 + 
     45*T1^5*T2^12 + 66*T1^6*T2^12 - 218*T1^7*T2^12 + 32*T1^8*T2^12 + 
     148*T1^9*T2^12 - 36*T1^10*T2^12 + 4*T1^11*T2^12 - 40*T1^12*T2^12 + 
     178*T1^13*T2^12 - 60*T1^14*T2^12 - 45*T1^15*T2^12 + 18*T1^16*T2^12 + 
     9*T1^5*T2^13 - 45*T1^6*T2^13 + 37*T1^7*T2^13 + 134*T1^8*T2^13 - 
     254*T1^9*T2^13 + 162*T1^10*T2^13 - 162*T1^11*T2^13 + 178*T1^12*T2^13 - 
     226*T1^13*T2^13 + 64*T1^14*T2^13 + 45*T1^15*T2^13 - 18*T1^16*T2^13 + 
     25*T1^7*T2^14 - 108*T1^8*T2^14 + 136*T1^9*T2^14 - 60*T1^10*T2^14 + 
     60*T1^11*T2^14 - 60*T1^12*T2^14 + 64*T1^13*T2^14 + 36*T1^14*T2^14 - 
     65*T1^15*T2^14 + 18*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     5*T1^9*T2^15 - 45*T1^10*T2^15 + 45*T1^11*T2^15 - 45*T1^12*T2^15 + 
     45*T1^13*T2^15 - 65*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 18*T1^10*T2^16 - 18*T1^11*T2^16 + 
     18*T1^12*T2^16 - 18*T1^13*T2^16 + 18*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 180] -> 
  {(1 - 5*T + 11*T^2 - 17*T^3 + 21*T^4 - 17*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 44*T1^2 + 68*T1^3 - 84*T1^4 + 68*T1^5 - 44*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 145*T1^2*T2 - 175*T1^3*T2 + 165*T1^4*T2 - 
     25*T1^5*T2 - 35*T1^6*T2 + 65*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     44*T2^2 + 145*T1*T2^2 - 132*T1^2*T2^2 + 36*T1^3*T2^2 + 106*T1^4*T2^2 - 
     450*T1^5*T2^2 + 326*T1^6*T2^2 - 228*T1^7*T2^2 + 88*T1^8*T2^2 + 
     35*T1^9*T2^2 - 22*T1^10*T2^2 + 68*T2^3 - 175*T1*T2^3 + 36*T1^2*T2^3 + 
     120*T1^3*T2^3 - 256*T1^4*T2^3 + 630*T1^5*T2^3 - 32*T1^6*T2^3 - 
     42*T1^7*T2^3 + 158*T1^8*T2^3 - 195*T1^9*T2^3 + 25*T1^10*T2^3 + 
     17*T1^11*T2^3 - 84*T2^4 + 165*T1*T2^4 + 106*T1^2*T2^4 - 256*T1^3*T2^4 + 
     373*T1^4*T2^4 - 763*T1^5*T2^4 - 235*T1^6*T2^4 - 71*T1^7*T2^4 + 
     13*T1^8*T2^4 + 16*T1^9*T2^4 + 180*T1^10*T2^4 - 85*T1^11*T2^4 + 68*T2^5 - 
     25*T1*T2^5 - 450*T1^2*T2^5 + 630*T1^3*T2^5 - 763*T1^4*T2^5 + 
     1057*T1^5*T2^5 + 205*T1^6*T2^5 + 559*T1^7*T2^5 - 367*T1^8*T2^5 + 
     130*T1^9*T2^5 - 268*T1^10*T2^5 + 3*T1^11*T2^5 + 85*T1^12*T2^5 - 
     17*T1^13*T2^5 - 44*T2^6 - 35*T1*T2^6 + 326*T1^2*T2^6 - 32*T1^3*T2^6 - 
     235*T1^4*T2^6 + 205*T1^5*T2^6 - 1176*T1^6*T2^6 - 218*T1^7*T2^6 + 
     24*T1^8*T2^6 + 339*T1^9*T2^6 - 9*T1^10*T2^6 + 276*T1^11*T2^6 - 
     186*T1^12*T2^6 - 25*T1^13*T2^6 + 22*T1^14*T2^6 + 20*T2^7 + 65*T1*T2^7 - 
     228*T1^2*T2^7 - 42*T1^3*T2^7 - 71*T1^4*T2^7 + 559*T1^5*T2^7 - 
     218*T1^6*T2^7 + 1404*T1^7*T2^7 - 644*T1^8*T2^7 - 243*T1^9*T2^7 - 
     235*T1^10*T2^7 - 160*T1^11*T2^7 - 24*T1^12*T2^7 + 201*T1^13*T2^7 - 
     35*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 88*T1^2*T2^8 + 
     158*T1^3*T2^8 + 13*T1^4*T2^8 - 367*T1^5*T2^8 + 24*T1^6*T2^8 - 
     644*T1^7*T2^8 - 60*T1^8*T2^8 + 788*T1^9*T2^8 + 306*T1^10*T2^8 + 
     199*T1^11*T2^8 + 65*T1^12*T2^8 - 170*T1^13*T2^8 - 90*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 35*T1^2*T2^9 - 
     195*T1^3*T2^9 + 16*T1^4*T2^9 + 130*T1^5*T2^9 + 339*T1^6*T2^9 - 
     243*T1^7*T2^9 + 788*T1^8*T2^9 - 1260*T1^9*T2^9 - 268*T1^10*T2^9 - 
     455*T1^11*T2^9 + 41*T1^12*T2^9 + 34*T1^13*T2^9 + 234*T1^14*T2^9 - 
     65*T1^15*T2^9 - 20*T1^16*T2^9 - 22*T1^2*T2^10 + 25*T1^3*T2^10 + 
     180*T1^4*T2^10 - 268*T1^5*T2^10 - 9*T1^6*T2^10 - 235*T1^7*T2^10 + 
     306*T1^8*T2^10 - 268*T1^9*T2^10 + 1506*T1^10*T2^10 - 101*T1^11*T2^10 + 
     217*T1^12*T2^10 + 40*T1^13*T2^10 - 332*T1^14*T2^10 + 35*T1^15*T2^10 + 
     44*T1^16*T2^10 + 17*T1^3*T2^11 - 85*T1^4*T2^11 + 3*T1^5*T2^11 + 
     276*T1^6*T2^11 - 160*T1^7*T2^11 + 199*T1^8*T2^11 - 455*T1^9*T2^11 - 
     101*T1^10*T2^11 - 1225*T1^11*T2^11 + 733*T1^12*T2^11 - 622*T1^13*T2^11 + 
     456*T1^14*T2^11 + 25*T1^15*T2^11 - 68*T1^16*T2^11 + 85*T1^5*T2^12 - 
     186*T1^6*T2^12 - 24*T1^7*T2^12 + 65*T1^8*T2^12 + 41*T1^9*T2^12 + 
     217*T1^10*T2^12 + 733*T1^11*T2^12 - 295*T1^12*T2^12 + 248*T1^13*T2^12 - 
     112*T1^14*T2^12 - 165*T1^15*T2^12 + 84*T1^16*T2^12 - 17*T1^5*T2^13 - 
     25*T1^6*T2^13 + 201*T1^7*T2^13 - 170*T1^8*T2^13 + 34*T1^9*T2^13 + 
     40*T1^10*T2^13 - 622*T1^11*T2^13 + 248*T1^12*T2^13 - 132*T1^13*T2^13 - 
     30*T1^14*T2^13 + 175*T1^15*T2^13 - 68*T1^16*T2^13 + 22*T1^6*T2^14 - 
     35*T1^7*T2^14 - 90*T1^8*T2^14 + 234*T1^9*T2^14 - 332*T1^10*T2^14 + 
     456*T1^11*T2^14 - 112*T1^12*T2^14 - 30*T1^13*T2^14 + 130*T1^14*T2^14 - 
     145*T1^15*T2^14 + 44*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 
     65*T1^9*T2^15 + 35*T1^10*T2^15 + 25*T1^11*T2^15 - 165*T1^12*T2^15 + 
     175*T1^13*T2^15 - 145*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 
     4*T1^8*T2^16 - 20*T1^9*T2^16 + 44*T1^10*T2^16 - 68*T1^11*T2^16 + 
     84*T1^12*T2^16 - 68*T1^13*T2^16 + 44*T1^14*T2^16 - 20*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 181] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-33 + 181*T1 - 377*T1^2 + 441*T1^3 - 377*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1318*T1^2*T2 - 858*T1^3*T2 + 242*T1^4*T2 + 
     570*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 377*T2^2 + 1318*T1*T2^2 - 
     396*T1^2*T2^2 - 2456*T1^3*T2^2 + 3520*T1^4*T2^2 - 3928*T1^5*T2^2 + 
     1536*T1^6*T2^2 + 306*T1^7*T2^2 - 193*T1^8*T2^2 + 441*T2^3 - 
     858*T1*T2^3 - 2456*T1^2*T2^3 + 6333*T1^3*T2^3 - 4565*T1^4*T2^3 + 
     2577*T1^5*T2^3 + 2429*T1^6*T2^3 - 2893*T1^7*T2^3 + 418*T1^8*T2^3 + 
     117*T1^9*T2^3 - 377*T2^4 + 242*T1*T2^4 + 3520*T1^2*T2^4 - 
     4565*T1^3*T2^4 - 1660*T1^4*T2^4 + 4328*T1^5*T2^4 - 7300*T1^6*T2^4 + 
     2941*T1^7*T2^4 + 1218*T1^8*T2^4 - 594*T1^9*T2^4 - 9*T1^10*T2^4 + 
     181*T2^5 + 570*T1*T2^5 - 3928*T1^2*T2^5 + 2577*T1^3*T2^5 + 
     4328*T1^4*T2^5 - 3966*T1^5*T2^5 + 2708*T1^6*T2^5 + 2695*T1^7*T2^5 - 
     3837*T1^8*T2^5 + 649*T1^9*T2^5 + 262*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1536*T1^2*T2^6 + 2429*T1^3*T2^6 - 
     7300*T1^4*T2^6 + 2708*T1^5*T2^6 + 1464*T1^6*T2^6 - 4320*T1^7*T2^6 + 
     2402*T1^8*T2^6 + 1275*T1^9*T2^6 - 1120*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 306*T1^2*T2^7 - 2893*T1^3*T2^7 + 
     2941*T1^4*T2^7 + 2695*T1^5*T2^7 - 4320*T1^6*T2^7 + 2354*T1^7*T2^7 + 
     1062*T1^8*T2^7 - 3473*T1^9*T2^7 + 1684*T1^10*T2^7 - 2*T1^11*T2^7 - 
     83*T1^12*T2^7 - 193*T1^2*T2^8 + 418*T1^3*T2^8 + 1218*T1^4*T2^8 - 
     3837*T1^5*T2^8 + 2402*T1^6*T2^8 + 1062*T1^7*T2^8 - 3238*T1^8*T2^8 + 
     3669*T1^9*T2^8 - 1084*T1^10*T2^8 - 418*T1^11*T2^8 + 175*T1^12*T2^8 + 
     117*T1^3*T2^9 - 594*T1^4*T2^9 + 649*T1^5*T2^9 + 1275*T1^6*T2^9 - 
     3473*T1^7*T2^9 + 3669*T1^8*T2^9 - 2629*T1^9*T2^9 + 212*T1^10*T2^9 + 
     682*T1^11*T2^9 - 207*T1^12*T2^9 - 9*T1^4*T2^10 + 262*T1^5*T2^10 - 
     1120*T1^6*T2^10 + 1684*T1^7*T2^10 - 1084*T1^8*T2^10 + 212*T1^9*T2^10 + 
     812*T1^10*T2^10 - 750*T1^11*T2^10 + 175*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 2*T1^7*T2^11 - 418*T1^8*T2^11 + 682*T1^9*T2^11 - 
     750*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 175*T1^8*T2^12 - 207*T1^9*T2^12 + 175*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 182] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-2 + 10*T1 - 22*T1^2 + 26*T1^3 - 26*T1^4 + 26*T1^5 - 22*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 85*T1^2*T2 - 75*T1^3*T2 + 65*T1^4*T2 - 
     65*T1^5*T2 + 45*T1^6*T2 + 5*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 22*T2^2 + 
     85*T1*T2^2 - 118*T1^2*T2^2 + 18*T1^3*T2^2 + 26*T1^4*T2^2 - 
     24*T1^5*T2^2 + 70*T1^6*T2^2 - 158*T1^7*T2^2 + 102*T1^8*T2^2 - 
     25*T1^9*T2^2 + 26*T2^3 - 75*T1*T2^3 + 18*T1^2*T2^3 + 228*T1^3*T2^3 - 
     282*T1^4*T2^3 + 224*T1^5*T2^3 - 270*T1^6*T2^3 + 336*T1^7*T2^3 - 
     106*T1^8*T2^3 - 81*T1^9*T2^3 + 65*T1^10*T2^3 - 13*T1^11*T2^3 - 26*T2^4 + 
     65*T1*T2^4 + 26*T1^2*T2^4 - 282*T1^3*T2^4 + 207*T1^4*T2^4 + 
     9*T1^5*T2^4 + 71*T1^6*T2^4 - 147*T1^7*T2^4 - 209*T1^8*T2^4 + 
     342*T1^9*T2^4 - 52*T1^10*T2^4 - 65*T1^11*T2^4 + 26*T1^12*T2^4 + 
     26*T2^5 - 65*T1*T2^5 - 24*T1^2*T2^5 + 224*T1^3*T2^5 + 9*T1^4*T2^5 - 
     313*T1^5*T2^5 + 53*T1^6*T2^5 - 25*T1^7*T2^5 + 519*T1^8*T2^5 - 
     394*T1^9*T2^5 - 218*T1^10*T2^5 + 93*T1^11*T2^5 + 65*T1^12*T2^5 - 
     39*T1^13*T2^5 - 22*T2^6 + 45*T1*T2^6 + 70*T1^2*T2^6 - 270*T1^3*T2^6 + 
     71*T1^4*T2^6 + 53*T1^5*T2^6 + 374*T1^6*T2^6 - 80*T1^7*T2^6 - 
     474*T1^8*T2^6 + 27*T1^9*T2^6 + 409*T1^10*T2^6 + 302*T1^11*T2^6 - 
     218*T1^12*T2^6 - 25*T1^13*T2^6 + 44*T1^14*T2^6 + 10*T2^7 + 5*T1*T2^7 - 
     158*T1^2*T2^7 + 336*T1^3*T2^7 - 147*T1^4*T2^7 - 25*T1^5*T2^7 - 
     80*T1^6*T2^7 - 726*T1^7*T2^7 + 986*T1^8*T2^7 - 281*T1^9*T2^7 + 
     157*T1^10*T2^7 - 732*T1^11*T2^7 - 258*T1^12*T2^7 + 403*T1^13*T2^7 - 
     95*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 102*T1^2*T2^8 - 
     106*T1^3*T2^8 - 209*T1^4*T2^8 + 519*T1^5*T2^8 - 474*T1^6*T2^8 + 
     986*T1^7*T2^8 - 204*T1^8*T2^8 - 750*T1^9*T2^8 + 768*T1^10*T2^8 - 
     547*T1^11*T2^8 + 1579*T1^12*T2^8 - 642*T1^13*T2^8 - 76*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 81*T1^3*T2^9 + 
     342*T1^4*T2^9 - 394*T1^5*T2^9 + 27*T1^6*T2^9 - 281*T1^7*T2^9 - 
     750*T1^8*T2^9 + 962*T1^9*T2^9 - 482*T1^10*T2^9 + 209*T1^11*T2^9 - 
     979*T1^12*T2^9 - 252*T1^13*T2^9 + 480*T1^14*T2^9 - 125*T1^15*T2^9 - 
     30*T1^16*T2^9 + 65*T1^3*T2^10 - 52*T1^4*T2^10 - 218*T1^5*T2^10 + 
     409*T1^6*T2^10 + 157*T1^7*T2^10 + 768*T1^8*T2^10 - 482*T1^9*T2^10 - 
     80*T1^10*T2^10 + 131*T1^11*T2^10 + 747*T1^12*T2^10 + 354*T1^13*T2^10 - 
     340*T1^14*T2^10 - 5*T1^15*T2^10 + 66*T1^16*T2^10 - 13*T1^3*T2^11 - 
     65*T1^4*T2^11 + 93*T1^5*T2^11 + 302*T1^6*T2^11 - 732*T1^7*T2^11 - 
     547*T1^8*T2^11 + 209*T1^9*T2^11 + 131*T1^10*T2^11 + 285*T1^11*T2^11 - 
     1135*T1^12*T2^11 - 140*T1^13*T2^11 + 210*T1^14*T2^11 + 65*T1^15*T2^11 - 
     78*T1^16*T2^11 + 26*T1^4*T2^12 + 65*T1^5*T2^12 - 218*T1^6*T2^12 - 
     258*T1^7*T2^12 + 1579*T1^8*T2^12 - 979*T1^9*T2^12 + 747*T1^10*T2^12 - 
     1135*T1^11*T2^12 + 1163*T1^12*T2^12 + 366*T1^13*T2^12 - 
     296*T1^14*T2^12 - 65*T1^15*T2^12 + 78*T1^16*T2^12 - 39*T1^5*T2^13 - 
     25*T1^6*T2^13 + 403*T1^7*T2^13 - 642*T1^8*T2^13 - 252*T1^9*T2^13 + 
     354*T1^10*T2^13 - 140*T1^11*T2^13 + 366*T1^12*T2^13 - 976*T1^13*T2^13 + 
     304*T1^14*T2^13 + 115*T1^15*T2^13 - 78*T1^16*T2^13 + 44*T1^6*T2^14 - 
     95*T1^7*T2^14 - 76*T1^8*T2^14 + 480*T1^9*T2^14 - 340*T1^10*T2^14 + 
     210*T1^11*T2^14 - 296*T1^12*T2^14 + 304*T1^13*T2^14 + 144*T1^14*T2^14 - 
     205*T1^15*T2^14 + 66*T1^16*T2^14 - 25*T1^7*T2^15 + 95*T1^8*T2^15 - 
     125*T1^9*T2^15 - 5*T1^10*T2^15 + 65*T1^11*T2^15 - 65*T1^12*T2^15 + 
     115*T1^13*T2^15 - 205*T1^14*T2^15 + 125*T1^15*T2^15 - 30*T1^16*T2^15 + 
     6*T1^8*T2^16 - 30*T1^9*T2^16 + 66*T1^10*T2^16 - 78*T1^11*T2^16 + 
     78*T1^12*T2^16 - 78*T1^13*T2^16 + 66*T1^14*T2^16 - 30*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 183] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-15 + 83*T1 - 205*T1^2 + 267*T1^3 - 205*T1^4 + 83*T1^5 - 15*T1^6 + 
     83*T2 - 420*T1*T2 + 916*T1^2*T2 - 936*T1^3*T2 + 428*T1^4*T2 + 
     80*T1^5*T2 - 134*T1^6*T2 + 39*T1^7*T2 - 205*T2^2 + 916*T1*T2^2 - 
     1586*T1^2*T2^2 + 642*T1^3*T2^2 + 1152*T1^4*T2^2 - 1950*T1^5*T2^2 + 
     1114*T1^6*T2^2 - 272*T1^7*T2^2 + 11*T1^8*T2^2 + 267*T2^3 - 936*T1*T2^3 + 
     642*T1^2*T2^3 + 2615*T1^3*T2^3 - 5677*T1^4*T2^3 + 4757*T1^5*T2^3 - 
     901*T1^6*T2^3 - 1167*T1^7*T2^3 + 780*T1^8*T2^3 - 153*T1^9*T2^3 - 
     205*T2^4 + 428*T1*T2^4 + 1152*T1^2*T2^4 - 5677*T1^3*T2^4 + 
     7128*T1^4*T2^4 - 1000*T1^5*T2^4 - 5952*T1^6*T2^4 + 6013*T1^7*T2^4 - 
     1486*T1^8*T2^4 - 408*T1^9*T2^4 + 227*T1^10*T2^4 + 83*T2^5 + 80*T1*T2^5 - 
     1950*T1^2*T2^5 + 4757*T1^3*T2^5 - 1000*T1^4*T2^5 - 10952*T1^5*T2^5 + 
     15210*T1^6*T2^5 - 6913*T1^7*T2^5 - 3165*T1^8*T2^5 + 2991*T1^9*T2^5 - 
     492*T1^10*T2^5 - 137*T1^11*T2^5 - 15*T2^6 - 134*T1*T2^6 + 
     1114*T1^2*T2^6 - 901*T1^3*T2^6 - 5952*T1^4*T2^6 + 15210*T1^5*T2^6 - 
     7692*T1^6*T2^6 - 7946*T1^7*T2^6 + 14206*T1^8*T2^6 - 4711*T1^9*T2^6 - 
     646*T1^10*T2^6 + 570*T1^11*T2^6 + 33*T1^12*T2^6 + 39*T1*T2^7 - 
     272*T1^2*T2^7 - 1167*T1^3*T2^7 + 6013*T1^4*T2^7 - 6913*T1^5*T2^7 - 
     7946*T1^6*T2^7 + 18216*T1^7*T2^7 - 12826*T1^8*T2^7 - 1909*T1^9*T2^7 + 
     3774*T1^10*T2^7 - 844*T1^11*T2^7 - 181*T1^12*T2^7 + 11*T1^2*T2^8 + 
     780*T1^3*T2^8 - 1486*T1^4*T2^8 - 3165*T1^5*T2^8 + 14206*T1^6*T2^8 - 
     12826*T1^7*T2^8 + 1126*T1^8*T2^8 + 8525*T1^9*T2^8 - 4124*T1^10*T2^8 - 
     56*T1^11*T2^8 + 443*T1^12*T2^8 - 153*T1^3*T2^9 - 408*T1^4*T2^9 + 
     2991*T1^5*T2^9 - 4711*T1^6*T2^9 - 1909*T1^7*T2^9 + 8525*T1^8*T2^9 - 
     8227*T1^9*T2^9 + 1182*T1^10*T2^9 + 1308*T1^11*T2^9 - 573*T1^12*T2^9 + 
     227*T1^4*T2^10 - 492*T1^5*T2^10 - 646*T1^6*T2^10 + 3774*T1^7*T2^10 - 
     4124*T1^8*T2^10 + 1182*T1^9*T2^10 + 2054*T1^10*T2^10 - 
     1680*T1^11*T2^10 + 443*T1^12*T2^10 - 137*T1^5*T2^11 + 570*T1^6*T2^11 - 
     844*T1^7*T2^11 - 56*T1^8*T2^11 + 1308*T1^9*T2^11 - 1680*T1^10*T2^11 + 
     856*T1^11*T2^11 - 181*T1^12*T2^11 + 33*T1^6*T2^12 - 181*T1^7*T2^12 + 
     443*T1^8*T2^12 - 573*T1^9*T2^12 + 443*T1^10*T2^12 - 181*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 184] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6))/T^4), 
   -((-3 + 15*T1 - 33*T1^2 + 51*T1^3 - 57*T1^4 + 51*T1^5 - 33*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 115*T1^2*T2 - 145*T1^3*T2 + 
      115*T1^4*T2 - 65*T1^5*T2 - 5*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 69*T1^3*T2^2 + 
      93*T1^4*T2^2 - 189*T1^5*T2^2 + 269*T1^6*T2^2 - 195*T1^7*T2^2 + 
      95*T1^8*T2^2 + 5*T1^9*T2^2 - 11*T1^10*T2^2 + 51*T2^3 - 145*T1*T2^3 + 
      69*T1^2*T2^3 + 62*T1^3*T2^3 - 270*T1^4*T2^3 + 268*T1^5*T2^3 - 
      284*T1^6*T2^3 + 46*T1^7*T2^3 + 100*T1^8*T2^3 - 162*T1^9*T2^3 + 
      55*T1^10*T2^3 - 57*T2^4 + 115*T1*T2^4 + 93*T1^2*T2^4 - 270*T1^3*T2^4 + 
      422*T1^4*T2^4 - 276*T1^5*T2^4 + 232*T1^6*T2^4 + 172*T1^7*T2^4 - 
      250*T1^8*T2^4 + 138*T1^9*T2^4 + 79*T1^10*T2^4 - 95*T1^11*T2^4 + 
      19*T1^12*T2^4 + 51*T2^5 - 65*T1*T2^5 - 189*T1^2*T2^5 + 268*T1^3*T2^5 - 
      276*T1^4*T2^5 + 107*T1^5*T2^5 - 125*T1^6*T2^5 - 237*T1^7*T2^5 + 
      33*T1^8*T2^5 + 247*T1^9*T2^5 - 300*T1^10*T2^5 + 114*T1^11*T2^5 + 
      75*T1^12*T2^5 - 34*T1^13*T2^5 - 33*T2^6 - 5*T1*T2^6 + 269*T1^2*T2^6 - 
      284*T1^3*T2^6 + 232*T1^4*T2^6 - 125*T1^5*T2^6 + 45*T1^6*T2^6 + 
      325*T1^7*T2^6 - 31*T1^8*T2^6 - 143*T1^9*T2^6 - 114*T1^10*T2^6 + 
      244*T1^11*T2^6 - 287*T1^12*T2^6 + 5*T1^13*T2^6 + 33*T1^14*T2^6 + 
      15*T2^7 + 35*T1*T2^7 - 195*T1^2*T2^7 + 46*T1^3*T2^7 + 172*T1^4*T2^7 - 
      237*T1^5*T2^7 + 325*T1^6*T2^7 - 226*T1^7*T2^7 - 336*T1^8*T2^7 + 
      470*T1^9*T2^7 + 63*T1^10*T2^7 - 51*T1^11*T2^7 + 98*T1^12*T2^7 + 
      234*T1^13*T2^7 - 65*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      95*T1^2*T2^8 + 100*T1^3*T2^8 - 250*T1^4*T2^8 + 33*T1^5*T2^8 - 
      31*T1^6*T2^8 - 336*T1^7*T2^8 + 408*T1^8*T2^8 - 60*T1^9*T2^8 - 
      717*T1^10*T2^8 + 299*T1^11*T2^8 - 214*T1^12*T2^8 - 228*T1^13*T2^8 - 
      83*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      5*T1^2*T2^9 - 162*T1^3*T2^9 + 138*T1^4*T2^9 + 247*T1^5*T2^9 - 
      143*T1^6*T2^9 + 470*T1^7*T2^9 - 60*T1^8*T2^9 - 170*T1^9*T2^9 + 
      615*T1^10*T2^9 + 157*T1^11*T2^9 + 24*T1^12*T2^9 + 190*T1^13*T2^9 + 
      267*T1^14*T2^9 - 95*T1^15*T2^9 - 25*T1^16*T2^9 - 11*T1^2*T2^10 + 
      55*T1^3*T2^10 + 79*T1^4*T2^10 - 300*T1^5*T2^10 - 114*T1^6*T2^10 + 
      63*T1^7*T2^10 - 717*T1^8*T2^10 + 615*T1^9*T2^10 - 793*T1^10*T2^10 + 
      45*T1^11*T2^10 - 460*T1^12*T2^10 + 228*T1^13*T2^10 - 477*T1^14*T2^10 + 
      65*T1^15*T2^10 + 55*T1^16*T2^10 - 95*T1^4*T2^11 + 114*T1^5*T2^11 + 
      244*T1^6*T2^11 - 51*T1^7*T2^11 + 299*T1^8*T2^11 + 157*T1^9*T2^11 + 
      45*T1^10*T2^11 + 225*T1^11*T2^11 + 472*T1^12*T2^11 - 324*T1^13*T2^11 + 
      417*T1^14*T2^11 + 45*T1^15*T2^11 - 85*T1^16*T2^11 + 19*T1^4*T2^12 + 
      75*T1^5*T2^12 - 287*T1^6*T2^12 + 98*T1^7*T2^12 - 214*T1^8*T2^12 + 
      24*T1^9*T2^12 - 460*T1^10*T2^12 + 472*T1^11*T2^12 - 886*T1^12*T2^12 + 
      506*T1^13*T2^12 - 301*T1^14*T2^12 - 135*T1^15*T2^12 + 95*T1^16*T2^12 - 
      34*T1^5*T2^13 + 5*T1^6*T2^13 + 234*T1^7*T2^13 - 228*T1^8*T2^13 + 
      190*T1^9*T2^13 + 228*T1^10*T2^13 - 324*T1^11*T2^13 + 506*T1^12*T2^13 - 
      190*T1^13*T2^13 + 3*T1^14*T2^13 + 205*T1^15*T2^13 - 85*T1^16*T2^13 + 
      33*T1^6*T2^14 - 65*T1^7*T2^14 - 83*T1^8*T2^14 + 267*T1^9*T2^14 - 
      477*T1^10*T2^14 + 417*T1^11*T2^14 - 301*T1^12*T2^14 + 3*T1^13*T2^14 + 
      137*T1^14*T2^14 - 175*T1^15*T2^14 + 55*T1^16*T2^14 - 20*T1^7*T2^15 + 
      75*T1^8*T2^15 - 95*T1^9*T2^15 + 65*T1^10*T2^15 + 45*T1^11*T2^15 - 
      135*T1^12*T2^15 + 205*T1^13*T2^15 - 175*T1^14*T2^15 + 105*T1^15*T2^15 - 
      25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 55*T1^10*T2^16 - 
      85*T1^11*T2^16 + 95*T1^12*T2^16 - 85*T1^13*T2^16 + 55*T1^14*T2^16 - 
      25*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 185] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 127*T1 - 289*T1^2 + 381*T1^3 - 289*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1136*T1^2*T2 - 1058*T1^3*T2 + 218*T1^4*T2 + 
      344*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 289*T2^2 + 1136*T1*T2^2 - 
      1183*T1^2*T2^2 - 503*T1^3*T2^2 + 2865*T1^4*T2^2 - 2703*T1^5*T2^2 + 
      1117*T1^6*T2^2 + 36*T1^7*T2^2 - 89*T1^8*T2^2 + 381*T2^3 - 
      1058*T1*T2^3 - 503*T1^2*T2^3 + 4173*T1^3*T2^3 - 6251*T1^4*T2^3 + 
      2571*T1^5*T2^3 + 1203*T1^6*T2^3 - 1878*T1^7*T2^3 + 570*T1^8*T2^3 - 
      15*T1^9*T2^3 - 289*T2^4 + 218*T1*T2^4 + 2865*T1^2*T2^4 - 
      6251*T1^3*T2^4 + 4124*T1^4*T2^4 + 4134*T1^5*T2^4 - 7248*T1^6*T2^4 + 
      3847*T1^7*T2^4 - 121*T1^8*T2^4 - 530*T1^9*T2^4 + 111*T1^10*T2^4 + 
      127*T2^5 + 344*T1*T2^5 - 2703*T1^2*T2^5 + 2571*T1^3*T2^5 + 
      4134*T1^4*T2^5 - 11368*T1^5*T2^5 + 8212*T1^6*T2^5 + 559*T1^7*T2^5 - 
      3699*T1^8*T2^5 + 1972*T1^9*T2^5 - 96*T1^10*T2^5 - 93*T1^11*T2^5 - 
      23*T2^6 - 332*T1*T2^6 + 1117*T1^2*T2^6 + 1203*T1^3*T2^6 - 
      7248*T1^4*T2^6 + 8212*T1^5*T2^6 - 12*T1^6*T2^6 - 8420*T1^7*T2^6 + 
      6130*T1^8*T2^6 - 1239*T1^9*T2^6 - 1107*T1^10*T2^6 + 372*T1^11*T2^6 + 
      25*T1^12*T2^6 + 83*T1*T2^7 + 36*T1^2*T2^7 - 1878*T1^3*T2^7 + 
      3847*T1^4*T2^7 + 559*T1^5*T2^7 - 8420*T1^6*T2^7 + 11160*T1^7*T2^7 - 
      3016*T1^8*T2^7 - 2423*T1^9*T2^7 + 2797*T1^10*T2^7 - 404*T1^11*T2^7 - 
      137*T1^12*T2^7 - 89*T1^2*T2^8 + 570*T1^3*T2^8 - 121*T1^4*T2^8 - 
      3699*T1^5*T2^8 + 6130*T1^6*T2^8 - 3016*T1^7*T2^8 - 5242*T1^8*T2^8 + 
      6399*T1^9*T2^8 - 3107*T1^10*T2^8 - 178*T1^11*T2^8 + 311*T1^12*T2^8 - 
      15*T1^3*T2^9 - 530*T1^4*T2^9 + 1972*T1^5*T2^9 - 1239*T1^6*T2^9 - 
      2423*T1^7*T2^9 + 6399*T1^8*T2^9 - 4209*T1^9*T2^9 + 597*T1^10*T2^9 + 
      1098*T1^11*T2^9 - 411*T1^12*T2^9 + 111*T1^4*T2^10 - 96*T1^5*T2^10 - 
      1107*T1^6*T2^10 + 2797*T1^7*T2^10 - 3107*T1^8*T2^10 + 597*T1^9*T2^10 + 
      1193*T1^10*T2^10 - 1196*T1^11*T2^10 + 311*T1^12*T2^10 - 93*T1^5*T2^11 + 
      372*T1^6*T2^11 - 404*T1^7*T2^11 - 178*T1^8*T2^11 + 1098*T1^9*T2^11 - 
      1196*T1^10*T2^11 + 658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 
      137*T1^7*T2^12 + 311*T1^8*T2^12 - 411*T1^9*T2^12 + 311*T1^10*T2^12 - 
      137*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 186] -> 
  {(4 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 4*T^6)/T^3, 
   (-2*(200 - 592*T1 + 980*T1^2 - 1124*T1^3 + 980*T1^4 - 592*T1^5 + 
      200*T1^6 - 592*T2 + 1264*T1*T2 - 1448*T1^2*T2 + 912*T1^3*T2 - 
      120*T1^4*T2 - 680*T1^5*T2 + 880*T1^6*T2 - 496*T1^7*T2 + 980*T2^2 - 
      1448*T1*T2^2 + 1086*T1^2*T2^2 - 146*T1^3*T2^2 - 400*T1^4*T2^2 + 
      734*T1^5*T2^2 - 194*T1^6*T2^2 - 488*T1^7*T2^2 + 660*T1^8*T2^2 - 
      1124*T2^3 + 912*T1*T2^3 - 146*T1^2*T2^3 - 604*T1^3*T2^3 + 
      422*T1^4*T2^3 - 322*T1^5*T2^3 - 490*T1^6*T2^3 + 694*T1^7*T2^3 - 
      264*T1^8*T2^3 - 572*T1^9*T2^3 + 980*T2^4 - 120*T1*T2^4 - 
      400*T1^2*T2^4 + 422*T1^3*T2^4 + 379*T1^4*T2^4 - 401*T1^5*T2^4 + 
      855*T1^6*T2^4 - 314*T1^7*T2^4 - 288*T1^8*T2^4 + 696*T1^9*T2^4 + 
      340*T1^10*T2^4 - 592*T2^5 - 680*T1*T2^5 + 734*T1^2*T2^5 - 
      322*T1^3*T2^5 - 401*T1^4*T2^5 + 42*T1^5*T2^5 - 248*T1^6*T2^5 - 
      361*T1^7*T2^5 + 438*T1^8*T2^5 - 266*T1^9*T2^5 - 680*T1^10*T2^5 - 
      112*T1^11*T2^5 + 200*T2^6 + 880*T1*T2^6 - 194*T1^2*T2^6 - 
      490*T1^3*T2^6 + 855*T1^4*T2^6 - 248*T1^5*T2^6 + 348*T1^6*T2^6 + 
      120*T1^7*T2^6 + 119*T1^8*T2^6 - 346*T1^9*T2^6 + 702*T1^10*T2^6 + 
      304*T1^11*T2^6 + 8*T1^12*T2^6 - 496*T1*T2^7 - 488*T1^2*T2^7 + 
      694*T1^3*T2^7 - 314*T1^4*T2^7 - 361*T1^5*T2^7 + 120*T1^6*T2^7 - 
      170*T1^7*T2^7 - 321*T1^8*T2^7 + 446*T1^9*T2^7 - 306*T1^10*T2^7 - 
      488*T1^11*T2^7 - 16*T1^12*T2^7 + 660*T1^2*T2^8 - 264*T1^3*T2^8 - 
      288*T1^4*T2^8 + 438*T1^5*T2^8 + 119*T1^6*T2^8 - 321*T1^7*T2^8 + 
      595*T1^8*T2^8 - 298*T1^9*T2^8 - 176*T1^10*T2^8 + 552*T1^11*T2^8 + 
      20*T1^12*T2^8 - 572*T1^3*T2^9 + 696*T1^4*T2^9 - 266*T1^5*T2^9 - 
      346*T1^6*T2^9 + 446*T1^7*T2^9 - 298*T1^8*T2^9 - 232*T1^9*T2^9 + 
      574*T1^10*T2^9 - 480*T1^11*T2^9 - 20*T1^12*T2^9 + 340*T1^4*T2^10 - 
      680*T1^5*T2^10 + 702*T1^6*T2^10 - 306*T1^7*T2^10 - 176*T1^8*T2^10 + 
      574*T1^9*T2^10 - 578*T1^10*T2^10 + 280*T1^11*T2^10 + 20*T1^12*T2^10 - 
      112*T1^5*T2^11 + 304*T1^6*T2^11 - 488*T1^7*T2^11 + 552*T1^8*T2^11 - 
      480*T1^9*T2^11 + 280*T1^10*T2^11 - 80*T1^11*T2^11 - 16*T1^12*T2^11 + 
      8*T1^6*T2^12 - 16*T1^7*T2^12 + 20*T1^8*T2^12 - 20*T1^9*T2^12 + 
      20*T1^10*T2^12 - 16*T1^11*T2^12 + 8*T1^12*T2^12))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 187] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-23 + 127*T1 - 313*T1^2 + 429*T1^3 - 313*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1268*T1^2*T2 - 1234*T1^3*T2 + 174*T1^4*T2 + 
      432*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 313*T2^2 + 1268*T1*T2^2 - 
      1805*T1^2*T2^2 + 81*T1^3*T2^2 + 3033*T1^4*T2^2 - 2727*T1^5*T2^2 + 
      895*T1^6*T2^2 + 80*T1^7*T2^2 - 97*T1^8*T2^2 + 429*T2^3 - 1234*T1*T2^3 + 
      81*T1^2*T2^3 + 4505*T1^3*T2^3 - 7889*T1^4*T2^3 + 2683*T1^5*T2^3 + 
      1877*T1^6*T2^3 - 2052*T1^7*T2^3 + 614*T1^8*T2^3 - 15*T1^9*T2^3 - 
      313*T2^4 + 174*T1*T2^4 + 3033*T1^2*T2^4 - 7889*T1^3*T2^4 + 
      6085*T1^4*T2^4 + 6115*T1^5*T2^4 - 9679*T1^6*T2^4 + 4469*T1^7*T2^4 - 
      89*T1^8*T2^4 - 574*T1^9*T2^4 + 119*T1^10*T2^4 + 127*T2^5 + 
      432*T1*T2^5 - 2727*T1^2*T2^5 + 2683*T1^3*T2^5 + 6115*T1^4*T2^5 - 
      18338*T1^5*T2^5 + 13170*T1^6*T2^5 - 68*T1^7*T2^5 - 4317*T1^8*T2^5 + 
      2106*T1^9*T2^5 - 140*T1^10*T2^5 - 93*T1^11*T2^5 - 23*T2^6 - 
      332*T1*T2^6 + 895*T1^2*T2^6 + 1877*T1^3*T2^6 - 9679*T1^4*T2^6 + 
      13170*T1^5*T2^6 - 360*T1^6*T2^6 - 12902*T1^7*T2^6 + 9511*T1^8*T2^6 - 
      1981*T1^9*T2^6 - 865*T1^10*T2^6 + 372*T1^11*T2^6 + 25*T1^12*T2^6 + 
      83*T1*T2^7 + 80*T1^2*T2^7 - 2052*T1^3*T2^7 + 4469*T1^4*T2^7 - 
      68*T1^5*T2^7 - 12902*T1^6*T2^7 + 18606*T1^7*T2^7 - 6251*T1^8*T2^7 - 
      2531*T1^9*T2^7 + 2781*T1^10*T2^7 - 492*T1^11*T2^7 - 137*T1^12*T2^7 - 
      97*T1^2*T2^8 + 614*T1^3*T2^8 - 89*T1^4*T2^8 - 4317*T1^5*T2^8 + 
      9511*T1^6*T2^8 - 6251*T1^7*T2^8 - 6253*T1^8*T2^8 + 8041*T1^9*T2^8 - 
      3211*T1^10*T2^8 - 134*T1^11*T2^8 + 335*T1^12*T2^8 - 15*T1^3*T2^9 - 
      574*T1^4*T2^9 + 2106*T1^5*T2^9 - 1981*T1^6*T2^9 - 2531*T1^7*T2^9 + 
      8041*T1^8*T2^9 - 4609*T1^9*T2^9 - 27*T1^10*T2^9 + 1274*T1^11*T2^9 - 
      459*T1^12*T2^9 + 119*T1^4*T2^10 - 140*T1^5*T2^10 - 865*T1^6*T2^10 + 
      2781*T1^7*T2^10 - 3211*T1^8*T2^10 - 27*T1^9*T2^10 + 1835*T1^10*T2^10 - 
      1328*T1^11*T2^10 + 335*T1^12*T2^10 - 93*T1^5*T2^11 + 372*T1^6*T2^11 - 
      492*T1^7*T2^11 - 134*T1^8*T2^11 + 1274*T1^9*T2^11 - 1328*T1^10*T2^11 + 
      658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 137*T1^7*T2^12 + 
      335*T1^8*T2^12 - 459*T1^9*T2^12 + 335*T1^10*T2^12 - 137*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 188] -> 
  {(2 - 9*T + 15*T^2 - 15*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 231*T1^2 + 231*T1^3 - 231*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 574*T1^2*T2 - 270*T1^3*T2 + 270*T1^4*T2 + 
     142*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 231*T2^2 + 574*T1*T2^2 + 
     231*T1^2*T2^2 - 1219*T1^3*T2^2 + 919*T1^4*T2^2 - 1579*T1^5*T2^2 + 
     1011*T1^6*T2^2 + 34*T1^7*T2^2 - 111*T1^8*T2^2 + 231*T2^3 - 270*T1*T2^3 - 
     1219*T1^2*T2^3 + 1887*T1^3*T2^3 - 639*T1^4*T2^3 + 1251*T1^5*T2^3 + 
     177*T1^6*T2^3 - 1084*T1^7*T2^3 + 270*T1^8*T2^3 + 51*T1^9*T2^3 - 
     231*T2^4 + 270*T1*T2^4 + 919*T1^2*T2^4 - 639*T1^3*T2^4 - 
     1212*T1^4*T2^4 + 350*T1^5*T2^4 - 1272*T1^6*T2^4 + 1071*T1^7*T2^4 + 
     289*T1^8*T2^4 - 270*T1^9*T2^4 + 9*T1^10*T2^4 + 139*T2^5 + 142*T1*T2^5 - 
     1579*T1^2*T2^5 + 1251*T1^3*T2^5 + 350*T1^4*T2^5 + 1142*T1^5*T2^5 - 
     838*T1^6*T2^5 + 485*T1^7*T2^5 - 999*T1^8*T2^5 + 266*T1^9*T2^5 + 
     142*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 
     1011*T1^2*T2^6 + 177*T1^3*T2^6 - 1272*T1^4*T2^6 - 838*T1^5*T2^6 + 
     600*T1^6*T2^6 + 458*T1^7*T2^6 + 78*T1^8*T2^6 + 627*T1^9*T2^6 - 
     645*T1^10*T2^6 + 110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 
     34*T1^2*T2^7 - 1084*T1^3*T2^7 + 1071*T1^4*T2^7 + 485*T1^5*T2^7 + 
     458*T1^6*T2^7 - 1522*T1^7*T2^7 + 620*T1^8*T2^7 - 1179*T1^9*T2^7 + 
     761*T1^10*T2^7 + 34*T1^11*T2^7 - 77*T1^12*T2^7 - 111*T1^2*T2^8 + 
     270*T1^3*T2^8 + 289*T1^4*T2^8 - 999*T1^5*T2^8 + 78*T1^6*T2^8 + 
     620*T1^7*T2^8 + 18*T1^8*T2^8 + 711*T1^9*T2^8 - 341*T1^10*T2^8 - 
     270*T1^11*T2^8 + 129*T1^12*T2^8 + 51*T1^3*T2^9 - 270*T1^4*T2^9 + 
     266*T1^5*T2^9 + 627*T1^6*T2^9 - 1179*T1^7*T2^9 + 711*T1^8*T2^9 - 
     1083*T1^9*T2^9 + 401*T1^10*T2^9 + 270*T1^11*T2^9 - 129*T1^12*T2^9 + 
     9*T1^4*T2^10 + 142*T1^5*T2^10 - 645*T1^6*T2^10 + 761*T1^7*T2^10 - 
     341*T1^8*T2^10 + 401*T1^9*T2^10 + 135*T1^10*T2^10 - 398*T1^11*T2^10 + 
     129*T1^12*T2^10 - 41*T1^5*T2^11 + 110*T1^6*T2^11 + 34*T1^7*T2^11 - 
     270*T1^8*T2^11 + 270*T1^9*T2^11 - 398*T1^10*T2^11 + 308*T1^11*T2^11 - 
     77*T1^12*T2^11 + 17*T1^6*T2^12 - 77*T1^7*T2^12 + 129*T1^8*T2^12 - 
     129*T1^9*T2^12 + 129*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 189] -> 
  {(1 - 6*T + 17*T^2 - 31*T^3 + 39*T^4 - 31*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 68*T1^2 + 124*T1^3 - 156*T1^4 + 124*T1^5 - 68*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 300*T1^2*T2 - 438*T1^3*T2 + 
     378*T1^4*T2 - 42*T1^5*T2 - 150*T1^6*T2 + 162*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 68*T2^2 + 300*T1*T2^2 - 542*T1^2*T2^2 + 476*T1^3*T2^2 + 
     120*T1^4*T2^2 - 1052*T1^5*T2^2 + 868*T1^6*T2^2 - 374*T1^7*T2^2 + 
     2*T1^8*T2^2 + 96*T1^9*T2^2 - 34*T1^10*T2^2 + 124*T2^3 - 438*T1*T2^3 + 
     476*T1^2*T2^3 + 165*T1^3*T2^3 - 1379*T1^4*T2^3 + 2296*T1^5*T2^3 - 
     380*T1^6*T2^3 - 668*T1^7*T2^3 + 795*T1^8*T2^3 - 391*T1^9*T2^3 + 
     18*T1^10*T2^3 + 31*T1^11*T2^3 - 156*T2^4 + 378*T1*T2^4 + 120*T1^2*T2^4 - 
     1379*T1^3*T2^4 + 2553*T1^4*T2^4 - 2175*T1^5*T2^4 - 2131*T1^6*T2^4 + 
     2109*T1^7*T2^4 - 819*T1^8*T2^4 - 263*T1^9*T2^4 + 540*T1^10*T2^4 - 
     186*T1^11*T2^4 + 124*T2^5 - 42*T1*T2^5 - 1052*T1^2*T2^5 + 
     2296*T1^3*T2^5 - 2175*T1^4*T2^5 - 360*T1^5*T2^5 + 5351*T1^6*T2^5 - 
     1408*T1^7*T2^5 - 1694*T1^8*T2^5 + 2123*T1^9*T2^5 - 1144*T1^10*T2^5 - 
     2*T1^11*T2^5 + 186*T1^12*T2^5 - 31*T1^13*T2^5 - 68*T2^6 - 150*T1*T2^6 + 
     868*T1^2*T2^6 - 380*T1^3*T2^6 - 2131*T1^4*T2^6 + 5351*T1^5*T2^6 - 
     6494*T1^6*T2^6 - 2906*T1^7*T2^6 + 5710*T1^8*T2^6 - 2689*T1^9*T2^6 - 
     T1^10*T2^6 + 1150*T1^11*T2^6 - 536*T1^12*T2^6 - 18*T1^13*T2^6 + 
     34*T1^14*T2^6 + 24*T2^7 + 162*T1*T2^7 - 374*T1^2*T2^7 - 668*T1^3*T2^7 + 
     2109*T1^4*T2^7 - 1408*T1^5*T2^7 - 2906*T1^6*T2^7 + 11824*T1^7*T2^7 - 
     8354*T1^8*T2^7 - 413*T1^9*T2^7 + 2789*T1^10*T2^7 - 2133*T1^11*T2^7 + 
     241*T1^12*T2^7 + 391*T1^13*T2^7 - 96*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 2*T1^2*T2^8 + 795*T1^3*T2^8 - 819*T1^4*T2^8 - 
     1694*T1^5*T2^8 + 5710*T1^6*T2^8 - 8354*T1^7*T2^8 + 156*T1^8*T2^8 + 
     8438*T1^9*T2^8 - 4972*T1^10*T2^8 + 1398*T1^11*T2^8 + 917*T1^12*T2^8 - 
     795*T1^13*T2^8 - 2*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 96*T1^2*T2^9 - 391*T1^3*T2^9 - 263*T1^4*T2^9 + 
     2123*T1^5*T2^9 - 2689*T1^6*T2^9 - 413*T1^7*T2^9 + 8438*T1^8*T2^9 - 
     11740*T1^9*T2^9 + 2080*T1^10*T2^9 + 1508*T1^11*T2^9 - 2119*T1^12*T2^9 + 
     646*T1^13*T2^9 + 374*T1^14*T2^9 - 162*T1^15*T2^9 - 24*T1^16*T2^9 - 
     34*T1^2*T2^10 + 18*T1^3*T2^10 + 540*T1^4*T2^10 - 1144*T1^5*T2^10 - 
     T1^6*T2^10 + 2789*T1^7*T2^10 - 4972*T1^8*T2^10 + 2080*T1^9*T2^10 + 
     7232*T1^10*T2^10 - 5251*T1^11*T2^10 + 2129*T1^12*T2^10 + 
     386*T1^13*T2^10 - 864*T1^14*T2^10 + 150*T1^15*T2^10 + 68*T1^16*T2^10 + 
     31*T1^3*T2^11 - 186*T1^4*T2^11 - 2*T1^5*T2^11 + 1150*T1^6*T2^11 - 
     2133*T1^7*T2^11 + 1398*T1^8*T2^11 + 1508*T1^9*T2^11 - 5251*T1^10*T2^11 + 
     64*T1^11*T2^11 + 2165*T1^12*T2^11 - 2290*T1^13*T2^11 + 
     1048*T1^14*T2^11 + 42*T1^15*T2^11 - 124*T1^16*T2^11 + 186*T1^5*T2^12 - 
     536*T1^6*T2^12 + 241*T1^7*T2^12 + 917*T1^8*T2^12 - 2119*T1^9*T2^12 + 
     2129*T1^10*T2^12 + 2165*T1^11*T2^12 - 2455*T1^12*T2^12 + 
     1357*T1^13*T2^12 - 116*T1^14*T2^12 - 378*T1^15*T2^12 + 156*T1^16*T2^12 - 
     31*T1^5*T2^13 - 18*T1^6*T2^13 + 391*T1^7*T2^13 - 795*T1^8*T2^13 + 
     646*T1^9*T2^13 + 386*T1^10*T2^13 - 2290*T1^11*T2^13 + 1357*T1^12*T2^13 - 
     165*T1^13*T2^13 - 476*T1^14*T2^13 + 438*T1^15*T2^13 - 124*T1^16*T2^13 + 
     34*T1^6*T2^14 - 96*T1^7*T2^14 - 2*T1^8*T2^14 + 374*T1^9*T2^14 - 
     864*T1^10*T2^14 + 1048*T1^11*T2^14 - 116*T1^12*T2^14 - 476*T1^13*T2^14 + 
     542*T1^14*T2^14 - 300*T1^15*T2^14 + 68*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 162*T1^9*T2^15 + 150*T1^10*T2^15 + 42*T1^11*T2^15 - 
     378*T1^12*T2^15 + 438*T1^13*T2^15 - 300*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 68*T1^10*T2^16 - 
     124*T1^11*T2^16 + 156*T1^12*T2^16 - 124*T1^13*T2^16 + 68*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 190] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 113*T1 - 239*T1^2 + 315*T1^3 - 239*T1^4 + 113*T1^5 - 25*T1^6 + 
      113*T2 - 434*T1*T2 + 732*T1^2*T2 - 686*T1^3*T2 + 106*T1^4*T2 + 
      228*T1^5*T2 - 236*T1^6*T2 + 77*T1^7*T2 - 239*T2^2 + 732*T1*T2^2 - 
      790*T1^2*T2^2 + 72*T1^3*T2^2 + 1268*T1^4*T2^2 - 1144*T1^5*T2^2 + 
      502*T1^6*T2^2 + 48*T1^7*T2^2 - 87*T1^8*T2^2 + 315*T2^3 - 686*T1*T2^3 + 
      72*T1^2*T2^3 + 1239*T1^3*T2^3 - 2515*T1^4*T2^3 + 809*T1^5*T2^3 + 
      501*T1^6*T2^3 - 897*T1^7*T2^3 + 322*T1^8*T2^3 + 15*T1^9*T2^3 - 
      239*T2^4 + 106*T1*T2^4 + 1268*T1^2*T2^4 - 2515*T1^3*T2^4 + 
      2591*T1^4*T2^4 + 953*T1^5*T2^4 - 2025*T1^6*T2^4 + 1335*T1^7*T2^4 + 
      106*T1^8*T2^4 - 362*T1^9*T2^4 + 65*T1^10*T2^4 + 113*T2^5 + 
      228*T1*T2^5 - 1144*T1^2*T2^5 + 809*T1^3*T2^5 + 953*T1^4*T2^5 - 
      4458*T1^5*T2^5 + 3068*T1^6*T2^5 - 206*T1^7*T2^5 - 1463*T1^8*T2^5 + 
      813*T1^9*T2^5 + 12*T1^10*T2^5 - 67*T1^11*T2^5 - 25*T2^6 - 236*T1*T2^6 + 
      502*T1^2*T2^6 + 501*T1^3*T2^6 - 2025*T1^4*T2^6 + 3068*T1^5*T2^6 + 
      348*T1^6*T2^6 - 3192*T1^7*T2^6 + 2605*T1^8*T2^6 - 441*T1^9*T2^6 - 
      514*T1^10*T2^6 + 196*T1^11*T2^6 + 23*T1^12*T2^6 + 77*T1*T2^7 + 
      48*T1^2*T2^7 - 897*T1^3*T2^7 + 1335*T1^4*T2^7 - 206*T1^5*T2^7 - 
      3192*T1^6*T2^7 + 4334*T1^7*T2^7 - 1365*T1^8*T2^7 - 937*T1^9*T2^7 + 
      1060*T1^10*T2^7 - 168*T1^11*T2^7 - 103*T1^12*T2^7 - 87*T1^2*T2^8 + 
      322*T1^3*T2^8 + 106*T1^4*T2^8 - 1463*T1^5*T2^8 + 2605*T1^6*T2^8 - 
      1365*T1^7*T2^8 - 2011*T1^8*T2^8 + 2387*T1^9*T2^8 - 1056*T1^10*T2^8 - 
      146*T1^11*T2^8 + 217*T1^12*T2^8 + 15*T1^3*T2^9 - 362*T1^4*T2^9 + 
      813*T1^5*T2^9 - 441*T1^6*T2^9 - 937*T1^7*T2^9 + 2387*T1^8*T2^9 - 
      1179*T1^9*T2^9 - 156*T1^10*T2^9 + 646*T1^11*T2^9 - 285*T1^12*T2^9 + 
      65*T1^4*T2^10 + 12*T1^5*T2^10 - 514*T1^6*T2^10 + 1060*T1^7*T2^10 - 
      1056*T1^8*T2^10 - 156*T1^9*T2^10 + 778*T1^10*T2^10 - 672*T1^11*T2^10 + 
      217*T1^12*T2^10 - 67*T1^5*T2^11 + 196*T1^6*T2^11 - 168*T1^7*T2^11 - 
      146*T1^8*T2^11 + 646*T1^9*T2^11 - 672*T1^10*T2^11 + 394*T1^11*T2^11 - 
      103*T1^12*T2^11 + 23*T1^6*T2^12 - 103*T1^7*T2^12 + 217*T1^8*T2^12 - 
      285*T1^9*T2^12 + 217*T1^10*T2^12 - 103*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 191] -> 
  {(4 - 11*T + 17*T^2 - 19*T^3 + 17*T^4 - 11*T^5 + 4*T^6)/T^3, 
   -((400 - 1088*T1 + 1676*T1^2 - 1872*T1^3 + 1676*T1^4 - 1088*T1^5 + 
      400*T1^6 - 1088*T2 + 2056*T1*T2 - 2092*T1^2*T2 + 1284*T1^3*T2 - 
      300*T1^4*T2 - 860*T1^5*T2 + 1396*T1^6*T2 - 912*T1^7*T2 + 1676*T2^2 - 
      2092*T1*T2^2 + 1328*T1^2*T2^2 - 306*T1^3*T2^2 - 146*T1^4*T2^2 + 
      782*T1^5*T2^2 - 440*T1^6*T2^2 - 596*T1^7*T2^2 + 1132*T1^8*T2^2 - 
      1872*T2^3 + 1284*T1*T2^3 - 306*T1^2*T2^3 - 203*T1^3*T2^3 - 
      33*T1^4*T2^3 - 381*T1^5*T2^3 - 211*T1^6*T2^3 + 765*T1^7*T2^3 - 
      476*T1^8*T2^3 - 960*T1^9*T2^3 + 1676*T2^4 - 300*T1*T2^4 - 
      146*T1^2*T2^4 - 33*T1^3*T2^4 + 569*T1^4*T2^4 + 5*T1^5*T2^4 + 
      377*T1^6*T2^4 - 299*T1^7*T2^4 - 172*T1^8*T2^4 + 1020*T1^9*T2^4 + 
      588*T1^10*T2^4 - 1088*T2^5 - 860*T1*T2^5 + 782*T1^2*T2^5 - 
      381*T1^3*T2^5 + 5*T1^4*T2^5 - 644*T1^5*T2^5 + 136*T1^6*T2^5 - 
      114*T1^7*T2^5 + 131*T1^8*T2^5 - 357*T1^9*T2^5 - 1036*T1^10*T2^5 - 
      208*T1^11*T2^5 + 400*T2^6 + 1396*T1*T2^6 - 440*T1^2*T2^6 - 
      211*T1^3*T2^6 + 377*T1^4*T2^6 + 136*T1^5*T2^6 + 492*T1^6*T2^6 - 
      476*T1^7*T2^6 + 427*T1^8*T2^6 - 257*T1^9*T2^6 + 940*T1^10*T2^6 + 
      516*T1^11*T2^6 + 16*T1^12*T2^6 - 912*T1*T2^7 - 596*T1^2*T2^7 + 
      765*T1^3*T2^7 - 299*T1^4*T2^7 - 114*T1^5*T2^7 - 476*T1^6*T2^7 + 
      304*T1^7*T2^7 - 233*T1^8*T2^7 + 213*T1^9*T2^7 - 374*T1^10*T2^7 - 
      772*T1^11*T2^7 - 32*T1^12*T2^7 + 1132*T1^2*T2^8 - 476*T1^3*T2^8 - 
      172*T1^4*T2^8 + 131*T1^5*T2^8 + 427*T1^6*T2^8 - 233*T1^7*T2^8 + 
      235*T1^8*T2^8 - 135*T1^9*T2^8 - 198*T1^10*T2^8 + 844*T1^11*T2^8 + 
      44*T1^12*T2^8 - 960*T1^3*T2^9 + 1020*T1^4*T2^9 - 357*T1^5*T2^9 - 
      257*T1^6*T2^9 + 213*T1^7*T2^9 - 135*T1^8*T2^9 - 265*T1^9*T2^9 + 
      714*T1^10*T2^9 - 740*T1^11*T2^9 - 48*T1^12*T2^9 + 588*T1^4*T2^10 - 
      1036*T1^5*T2^10 + 940*T1^6*T2^10 - 374*T1^7*T2^10 - 198*T1^8*T2^10 + 
      714*T1^9*T2^10 - 828*T1^10*T2^10 + 460*T1^11*T2^10 + 44*T1^12*T2^10 - 
      208*T1^5*T2^11 + 516*T1^6*T2^11 - 772*T1^7*T2^11 + 844*T1^8*T2^11 - 
      740*T1^9*T2^11 + 460*T1^10*T2^11 - 144*T1^11*T2^11 - 32*T1^12*T2^11 + 
      16*T1^6*T2^12 - 32*T1^7*T2^12 + 44*T1^8*T2^12 - 48*T1^9*T2^12 + 
      44*T1^10*T2^12 - 32*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 192] -> 
  {(8 - 24*T + 33*T^2 - 24*T^3 + 8*T^4)/T^2, 
   (-2*(1120 - 3312*T1 + 4536*T1^2 - 3312*T1^3 + 1120*T1^4 - 3312*T2 + 
      7276*T1*T2 - 5944*T1^2*T2 - 472*T1^3*T2 + 4204*T1^4*T2 - 2544*T1^5*T2 + 
      4536*T2^2 - 5944*T1*T2^2 - 1469*T1^2*T2^2 + 10071*T1^3*T2^2 - 
      8069*T1^4*T2^2 + 392*T1^5*T2^2 + 2424*T1^6*T2^2 - 3312*T2^3 - 
      472*T1*T2^3 + 10071*T1^2*T2^3 - 12110*T1^3*T2^3 + 1246*T1^4*T2^3 + 
      6903*T1^5*T2^3 - 4216*T1^6*T2^3 - 1008*T1^7*T2^3 + 1120*T2^4 + 
      4204*T1*T2^4 - 8069*T1^2*T2^4 + 1246*T1^3*T2^4 + 10152*T1^4*T2^4 - 
      10082*T1^5*T2^4 + 1531*T1^6*T2^4 + 2668*T1^7*T2^4 + 96*T1^8*T2^4 - 
      2544*T1*T2^5 + 392*T1^2*T2^5 + 6903*T1^3*T2^5 - 10082*T1^4*T2^5 + 
      3274*T1^5*T2^5 + 3735*T1^6*T2^5 - 3352*T1^7*T2^5 - 240*T1^8*T2^5 + 
      2424*T1^2*T2^6 - 4216*T1^3*T2^6 + 1531*T1^4*T2^6 + 3735*T1^5*T2^6 - 
      5069*T1^6*T2^6 + 2120*T1^7*T2^6 + 312*T1^8*T2^6 - 1008*T1^3*T2^7 + 
      2668*T1^4*T2^7 - 3352*T1^5*T2^7 + 2120*T1^6*T2^7 - 404*T1^7*T2^7 - 
      240*T1^8*T2^7 + 96*T1^4*T2^8 - 240*T1^5*T2^8 + 312*T1^6*T2^8 - 
      240*T1^7*T2^8 + 96*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 193] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-15 + 75*T1 - 165*T1^2 + 203*T1^3 - 165*T1^4 + 75*T1^5 - 15*T1^6 + 
     75*T2 - 340*T1*T2 + 650*T1^2*T2 - 630*T1^3*T2 + 350*T1^4*T2 + 
     10*T1^5*T2 - 100*T1^6*T2 + 35*T1^7*T2 - 165*T2^2 + 650*T1*T2^2 - 
     937*T1^2*T2^2 + 297*T1^3*T2^2 + 613*T1^4*T2^2 - 1199*T1^5*T2^2 + 
     823*T1^6*T2^2 - 230*T1^7*T2^2 + 11*T1^8*T2^2 + 203*T2^3 - 630*T1*T2^3 + 
     297*T1^2*T2^3 + 1484*T1^3*T2^3 - 2880*T1^4*T2^3 + 2716*T1^5*T2^3 - 
     858*T1^6*T2^3 - 627*T1^7*T2^3 + 550*T1^8*T2^3 - 121*T1^9*T2^3 - 
     165*T2^4 + 350*T1*T2^4 + 613*T1^2*T2^4 - 2880*T1^3*T2^4 + 
     3427*T1^4*T2^4 - 995*T1^5*T2^4 - 2233*T1^6*T2^4 + 3168*T1^7*T2^4 - 
     915*T1^8*T2^4 - 330*T1^9*T2^4 + 187*T1^10*T2^4 + 75*T2^5 + 10*T1*T2^5 - 
     1199*T1^2*T2^5 + 2716*T1^3*T2^5 - 995*T1^4*T2^5 - 3710*T1^5*T2^5 + 
     5476*T1^6*T2^5 - 3063*T1^7*T2^5 - 1976*T1^8*T2^5 + 2013*T1^9*T2^5 - 
     310*T1^10*T2^5 - 125*T1^11*T2^5 - 15*T2^6 - 100*T1*T2^6 + 
     823*T1^2*T2^6 - 858*T1^3*T2^6 - 2233*T1^4*T2^6 + 5476*T1^5*T2^6 - 
     1968*T1^6*T2^6 - 3220*T1^7*T2^6 + 6855*T1^8*T2^6 - 2386*T1^9*T2^6 - 
     713*T1^10*T2^6 + 460*T1^11*T2^6 + 33*T1^12*T2^6 + 35*T1*T2^7 - 
     230*T1^2*T2^7 - 627*T1^3*T2^7 + 3168*T1^4*T2^7 - 3063*T1^5*T2^7 - 
     3220*T1^6*T2^7 + 5966*T1^7*T2^7 - 5131*T1^8*T2^7 - 1524*T1^9*T2^7 + 
     2585*T1^10*T2^7 - 550*T1^11*T2^7 - 165*T1^12*T2^7 + 11*T1^2*T2^8 + 
     550*T1^3*T2^8 - 915*T1^4*T2^8 - 1976*T1^5*T2^8 + 6855*T1^6*T2^8 - 
     5131*T1^7*T2^8 + 1195*T1^8*T2^8 + 4072*T1^9*T2^8 - 2443*T1^10*T2^8 - 
     130*T1^11*T2^8 + 363*T1^12*T2^8 - 121*T1^3*T2^9 - 330*T1^4*T2^9 + 
     2013*T1^5*T2^9 - 2386*T1^6*T2^9 - 1524*T1^7*T2^9 + 4072*T1^8*T2^9 - 
     4728*T1^9*T2^9 + 1089*T1^10*T2^9 + 850*T1^11*T2^9 - 445*T1^12*T2^9 + 
     187*T1^4*T2^10 - 310*T1^5*T2^10 - 713*T1^6*T2^10 + 2585*T1^7*T2^10 - 
     2443*T1^8*T2^10 + 1089*T1^9*T2^10 + 1047*T1^10*T2^10 - 
     1190*T1^11*T2^10 + 363*T1^12*T2^10 - 125*T1^5*T2^11 + 460*T1^6*T2^11 - 
     550*T1^7*T2^11 - 130*T1^8*T2^11 + 850*T1^9*T2^11 - 1190*T1^10*T2^11 + 
     700*T1^11*T2^11 - 165*T1^12*T2^11 + 33*T1^6*T2^12 - 165*T1^7*T2^12 + 
     363*T1^8*T2^12 - 445*T1^9*T2^12 + 363*T1^10*T2^12 - 165*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 194] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6))/T^4, 
   (-2 + 10*T1 - 24*T1^2 + 36*T1^3 - 42*T1^4 + 36*T1^5 - 24*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 95*T1^2*T2 - 120*T1^3*T2 + 120*T1^4*T2 - 
     75*T1^5*T2 + 30*T1^6*T2 + 10*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 
     24*T2^2 + 95*T1*T2^2 - 165*T1^2*T2^2 + 144*T1^3*T2^2 - 80*T1^4*T2^2 - 
     61*T1^5*T2^2 + 136*T1^6*T2^2 - 168*T1^7*T2^2 + 99*T1^8*T2^2 - 
     25*T1^9*T2^2 + 36*T2^3 - 120*T1*T2^3 + 144*T1^2*T2^3 + 8*T1^3*T2^3 - 
     170*T1^4*T2^3 + 372*T1^5*T2^3 - 348*T1^6*T2^3 + 226*T1^7*T2^3 + 
     14*T1^8*T2^3 - 144*T1^9*T2^3 + 90*T1^10*T2^3 - 18*T1^11*T2^3 - 42*T2^4 + 
     120*T1*T2^4 - 80*T1^2*T2^4 - 170*T1^3*T2^4 + 307*T1^4*T2^4 - 
     384*T1^5*T2^4 + 131*T1^6*T2^4 + 144*T1^7*T2^4 - 353*T1^8*T2^4 + 
     298*T1^9*T2^4 + 28*T1^10*T2^4 - 120*T1^11*T2^4 + 42*T1^12*T2^4 + 
     36*T2^5 - 75*T1*T2^5 - 61*T1^2*T2^5 + 372*T1^3*T2^5 - 384*T1^4*T2^5 + 
     245*T1^5*T2^5 + 133*T1^6*T2^5 - 371*T1^7*T2^5 + 245*T1^8*T2^5 + 
     39*T1^9*T2^5 - 492*T1^10*T2^5 + 218*T1^11*T2^5 + 60*T1^12*T2^5 - 
     54*T1^13*T2^5 - 24*T2^6 + 30*T1*T2^6 + 136*T1^2*T2^6 - 348*T1^3*T2^6 + 
     131*T1^4*T2^6 + 133*T1^5*T2^6 - 259*T1^6*T2^6 + 197*T1^7*T2^6 + 
     389*T1^8*T2^6 - 515*T1^9*T2^6 + 707*T1^10*T2^6 + 156*T1^11*T2^6 - 
     296*T1^12*T2^6 + 30*T1^13*T2^6 + 48*T1^14*T2^6 + 10*T2^7 + 10*T1*T2^7 - 
     168*T1^2*T2^7 + 226*T1^3*T2^7 + 144*T1^4*T2^7 - 371*T1^5*T2^7 + 
     197*T1^6*T2^7 - 207*T1^7*T2^7 - 399*T1^8*T2^7 - 31*T1^9*T2^7 - 
     155*T1^10*T2^7 - 699*T1^11*T2^7 + 118*T1^12*T2^7 + 264*T1^13*T2^7 - 
     115*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 99*T1^2*T2^8 + 
     14*T1^3*T2^8 - 353*T1^4*T2^8 + 245*T1^5*T2^8 + 389*T1^6*T2^8 - 
     399*T1^7*T2^8 + 1200*T1^8*T2^8 - 445*T1^9*T2^8 + 881*T1^10*T2^8 + 
     11*T1^11*T2^8 + 787*T1^12*T2^8 - 562*T1^13*T2^8 + 21*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 
     144*T1^3*T2^9 + 298*T1^4*T2^9 + 39*T1^5*T2^9 - 515*T1^6*T2^9 - 
     31*T1^7*T2^9 - 445*T1^8*T2^9 - 637*T1^9*T2^9 - 259*T1^10*T2^9 - 
     299*T1^11*T2^9 - 804*T1^12*T2^9 + 190*T1^13*T2^9 + 288*T1^14*T2^9 - 
     150*T1^15*T2^9 - 30*T1^16*T2^9 + 90*T1^3*T2^10 + 28*T1^4*T2^10 - 
     492*T1^5*T2^10 + 707*T1^6*T2^10 - 155*T1^7*T2^10 + 881*T1^8*T2^10 - 
     259*T1^9*T2^10 + 1529*T1^10*T2^10 - 803*T1^11*T2^10 + 1283*T1^12*T2^10 + 
     12*T1^13*T2^10 - 404*T1^14*T2^10 + 90*T1^15*T2^10 + 72*T1^16*T2^10 - 
     18*T1^3*T2^11 - 120*T1^4*T2^11 + 218*T1^5*T2^11 + 156*T1^6*T2^11 - 
     699*T1^7*T2^11 + 11*T1^8*T2^11 - 299*T1^9*T2^11 - 803*T1^10*T2^11 + 
     11*T1^11*T2^11 - 276*T1^12*T2^11 - 708*T1^13*T2^11 + 497*T1^14*T2^11 + 
     15*T1^15*T2^11 - 108*T1^16*T2^11 + 42*T1^4*T2^12 + 60*T1^5*T2^12 - 
     296*T1^6*T2^12 + 118*T1^7*T2^12 + 787*T1^8*T2^12 - 804*T1^9*T2^12 + 
     1283*T1^10*T2^12 - 276*T1^11*T2^12 + 127*T1^12*T2^12 + 586*T1^13*T2^12 - 
     188*T1^14*T2^12 - 180*T1^15*T2^12 + 126*T1^16*T2^12 - 54*T1^5*T2^13 + 
     30*T1^6*T2^13 + 264*T1^7*T2^13 - 562*T1^8*T2^13 + 190*T1^9*T2^13 + 
     12*T1^10*T2^13 - 708*T1^11*T2^13 + 586*T1^12*T2^13 - 556*T1^13*T2^13 - 
     24*T1^14*T2^13 + 240*T1^15*T2^13 - 108*T1^16*T2^13 + 48*T1^6*T2^14 - 
     115*T1^7*T2^14 + 21*T1^8*T2^14 + 288*T1^9*T2^14 - 404*T1^10*T2^14 + 
     497*T1^11*T2^14 - 188*T1^12*T2^14 - 24*T1^13*T2^14 + 285*T1^14*T2^14 - 
     235*T1^15*T2^14 + 72*T1^16*T2^14 - 25*T1^7*T2^15 + 95*T1^8*T2^15 - 
     150*T1^9*T2^15 + 90*T1^10*T2^15 + 15*T1^11*T2^15 - 180*T1^12*T2^15 + 
     240*T1^13*T2^15 - 235*T1^14*T2^15 + 125*T1^15*T2^15 - 30*T1^16*T2^15 + 
     6*T1^8*T2^16 - 30*T1^9*T2^16 + 72*T1^10*T2^16 - 108*T1^11*T2^16 + 
     126*T1^12*T2^16 - 108*T1^13*T2^16 + 72*T1^14*T2^16 - 30*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 195] -> {(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4)/T^2, 
   (-45 + 193*T1 - 309*T1^2 + 193*T1^3 - 45*T1^4 + 193*T2 - 751*T1*T2 + 
     1003*T1^2*T2 - 323*T1^3*T2 - 127*T1^4*T2 + 76*T1^5*T2 - 309*T2^2 + 
     1003*T1*T2^2 - 704*T1^2*T2^2 - 1080*T1^3*T2^2 + 1564*T1^4*T2^2 - 
     635*T1^5*T2^2 + 69*T1^6*T2^2 + 193*T2^3 - 323*T1*T2^3 - 1080*T1^2*T2^3 + 
     3698*T1^3*T2^3 - 3712*T1^4*T2^3 + 831*T1^5*T2^3 + 379*T1^6*T2^3 - 
     158*T1^7*T2^3 - 45*T2^4 - 127*T1*T2^4 + 1564*T1^2*T2^4 - 
     3712*T1^3*T2^4 + 2652*T1^4*T2^4 + 1904*T1^5*T2^4 - 2074*T1^6*T2^4 + 
     419*T1^7*T2^4 + 63*T1^8*T2^4 + 76*T1*T2^5 - 635*T1^2*T2^5 + 
     831*T1^3*T2^5 + 1904*T1^4*T2^5 - 5506*T1^5*T2^5 + 2742*T1^6*T2^5 + 
     67*T1^7*T2^5 - 275*T1^8*T2^5 + 69*T1^2*T2^6 + 379*T1^3*T2^6 - 
     2074*T1^4*T2^6 + 2742*T1^5*T2^6 + 194*T1^6*T2^6 - 1259*T1^7*T2^6 + 
     447*T1^8*T2^6 - 158*T1^3*T2^7 + 419*T1^4*T2^7 + 67*T1^5*T2^7 - 
     1259*T1^6*T2^7 + 1043*T1^7*T2^7 - 275*T1^8*T2^7 + 63*T1^4*T2^8 - 
     275*T1^5*T2^8 + 447*T1^6*T2^8 - 275*T1^7*T2^8 + 63*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 196] -> 
  {-(((1 - T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4), 
   -((-3 + 18*T1 - 51*T1^2 + 93*T1^3 - 111*T1^4 + 93*T1^5 - 51*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 234*T1^2*T2 - 354*T1^3*T2 + 
      294*T1^4*T2 - 114*T1^5*T2 - 66*T1^6*T2 + 96*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 51*T2^2 + 234*T1*T2^2 - 454*T1^2*T2^2 + 469*T1^3*T2^2 + 
      30*T1^4*T2^2 - 520*T1^5*T2^2 + 710*T1^6*T2^2 - 381*T1^7*T2^2 + 
      90*T1^8*T2^2 + 30*T1^9*T2^2 - 17*T1^10*T2^2 + 93*T2^3 - 354*T1*T2^3 + 
      469*T1^2*T2^3 - 67*T1^3*T2^3 - 1071*T1^4*T2^3 + 1453*T1^5*T2^3 - 
      1019*T1^6*T2^3 - 174*T1^7*T2^3 + 563*T1^8*T2^3 - 398*T1^9*T2^3 + 
      102*T1^10*T2^3 - 111*T2^4 + 294*T1*T2^4 + 30*T1^2*T2^4 - 
      1071*T1^3*T2^4 + 2470*T1^4*T2^4 - 1677*T1^5*T2^4 - 144*T1^6*T2^4 + 
      2063*T1^7*T2^4 - 1502*T1^8*T2^4 + 293*T1^9*T2^4 + 314*T1^10*T2^4 - 
      222*T1^11*T2^4 + 37*T1^12*T2^4 + 93*T2^5 - 114*T1*T2^5 - 
      520*T1^2*T2^5 + 1453*T1^3*T2^5 - 1677*T1^4*T2^5 - 1182*T1^5*T2^5 + 
      3595*T1^6*T2^5 - 3838*T1^7*T2^5 + 436*T1^8*T2^5 + 1779*T1^9*T2^5 - 
      1375*T1^10*T2^5 + 314*T1^11*T2^5 + 150*T1^12*T2^5 - 62*T1^13*T2^5 - 
      51*T2^6 - 66*T1*T2^6 + 710*T1^2*T2^6 - 1019*T1^3*T2^6 - 144*T1^4*T2^6 + 
      3595*T1^5*T2^6 - 4163*T1^6*T2^6 + 801*T1^7*T2^6 + 4029*T1^8*T2^6 - 
      4233*T1^9*T2^6 + 694*T1^10*T2^6 + 919*T1^11*T2^6 - 762*T1^12*T2^6 + 
      66*T1^13*T2^6 + 51*T1^14*T2^6 + 18*T2^7 + 96*T1*T2^7 - 381*T1^2*T2^7 - 
      174*T1^3*T2^7 + 2063*T1^4*T2^7 - 3838*T1^5*T2^7 + 801*T1^6*T2^7 + 
      5634*T1^7*T2^7 - 7910*T1^8*T2^7 + 3480*T1^9*T2^7 + 2805*T1^10*T2^7 - 
      2529*T1^11*T2^7 + 797*T1^12*T2^7 + 384*T1^13*T2^7 - 162*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 90*T1^2*T2^8 + 563*T1^3*T2^8 - 
      1502*T1^4*T2^8 + 436*T1^5*T2^8 + 4029*T1^6*T2^8 - 7910*T1^7*T2^8 + 
      2700*T1^8*T2^8 + 5038*T1^9*T2^8 - 8965*T1^10*T2^8 + 3096*T1^11*T2^8 + 
      218*T1^12*T2^8 - 1027*T1^13*T2^8 + 86*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 30*T1^2*T2^9 - 398*T1^3*T2^9 + 
      293*T1^4*T2^9 + 1779*T1^5*T2^9 - 4233*T1^6*T2^9 + 3480*T1^7*T2^9 + 
      5038*T1^8*T2^9 - 8506*T1^9*T2^9 + 6159*T1^10*T2^9 + 2410*T1^11*T2^9 - 
      2813*T1^12*T2^9 + 1264*T1^13*T2^9 + 367*T1^14*T2^9 - 228*T1^15*T2^9 - 
      30*T1^16*T2^9 - 17*T1^2*T2^10 + 102*T1^3*T2^10 + 314*T1^4*T2^10 - 
      1375*T1^5*T2^10 + 694*T1^6*T2^10 + 2805*T1^7*T2^10 - 8965*T1^8*T2^10 + 
      6159*T1^9*T2^10 - 773*T1^10*T2^10 - 5023*T1^11*T2^10 + 
      1532*T1^12*T2^10 + 563*T1^13*T2^10 - 1158*T1^14*T2^10 + 
      234*T1^15*T2^10 + 85*T1^16*T2^10 - 222*T1^4*T2^11 + 314*T1^5*T2^11 + 
      919*T1^6*T2^11 - 2529*T1^7*T2^11 + 3096*T1^8*T2^11 + 2410*T1^9*T2^11 - 
      5023*T1^10*T2^11 + 4714*T1^11*T2^11 + 927*T1^12*T2^11 - 
      1909*T1^13*T2^11 + 1148*T1^14*T2^11 + 42*T1^15*T2^11 - 
      155*T1^16*T2^11 + 37*T1^4*T2^12 + 150*T1^5*T2^12 - 762*T1^6*T2^12 + 
      797*T1^7*T2^12 + 218*T1^8*T2^12 - 2813*T1^9*T2^12 + 1532*T1^10*T2^12 + 
      927*T1^11*T2^12 - 3754*T1^12*T2^12 + 2161*T1^13*T2^12 - 
      478*T1^14*T2^12 - 366*T1^15*T2^12 + 185*T1^16*T2^12 - 62*T1^5*T2^13 + 
      66*T1^6*T2^13 + 384*T1^7*T2^13 - 1027*T1^8*T2^13 + 1264*T1^9*T2^13 + 
      563*T1^10*T2^13 - 1909*T1^11*T2^13 + 2161*T1^12*T2^13 - 
      397*T1^13*T2^13 - 483*T1^14*T2^13 + 522*T1^15*T2^13 - 155*T1^16*T2^13 + 
      51*T1^6*T2^14 - 162*T1^7*T2^14 + 86*T1^8*T2^14 + 367*T1^9*T2^14 - 
      1158*T1^10*T2^14 + 1148*T1^11*T2^14 - 478*T1^12*T2^14 - 
      483*T1^13*T2^14 + 630*T1^14*T2^14 - 366*T1^15*T2^14 + 85*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 228*T1^9*T2^15 + 234*T1^10*T2^15 + 
      42*T1^11*T2^15 - 366*T1^12*T2^15 + 522*T1^13*T2^15 - 366*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      85*T1^10*T2^16 - 155*T1^11*T2^16 + 185*T1^12*T2^16 - 155*T1^13*T2^16 + 
      85*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 197] -> 
  {((3 - 5*T + 3*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-111 + 517*T1 - 1221*T1^2 + 1591*T1^3 - 1221*T1^4 + 517*T1^5 - 111*T1^6 + 
     517*T2 - 2018*T1*T2 + 3868*T1^2*T2 - 3110*T1^3*T2 + 82*T1^4*T2 + 
     1894*T1^5*T2 - 1304*T1^6*T2 + 391*T1^7*T2 - 1221*T2^2 + 3868*T1*T2^2 - 
     5564*T1^2*T2^2 + 319*T1^3*T2^2 + 5880*T1^4*T2^2 - 5423*T1^5*T2^2 + 
     376*T1^6*T2^2 + 1096*T1^7*T2^2 - 627*T1^8*T2^2 + 1591*T2^3 - 
     3110*T1*T2^3 + 319*T1^2*T2^3 + 11561*T1^3*T2^3 - 14210*T1^4*T2^3 + 
     2713*T1^5*T2^3 + 7649*T1^6*T2^3 - 4598*T1^7*T2^3 + 922*T1^8*T2^3 + 
     430*T1^9*T2^3 - 1221*T2^4 + 82*T1*T2^4 + 5880*T1^2*T2^4 - 
     14210*T1^3*T2^4 + 157*T1^4*T2^4 + 21525*T1^5*T2^4 - 22879*T1^6*T2^4 + 
     4882*T1^7*T2^4 + 2092*T1^8*T2^4 - 1850*T1^9*T2^4 - 33*T1^10*T2^4 + 
     517*T2^5 + 1894*T1*T2^5 - 5423*T1^2*T2^5 + 2713*T1^3*T2^5 + 
     21525*T1^4*T2^5 - 33015*T1^5*T2^5 + 13257*T1^6*T2^5 + 11658*T1^7*T2^5 - 
     9872*T1^8*T2^5 + 2794*T1^9*T2^5 + 676*T1^10*T2^5 - 113*T1^11*T2^5 - 
     111*T2^6 - 1304*T1*T2^6 + 376*T1^2*T2^6 + 7649*T1^3*T2^6 - 
     22879*T1^4*T2^6 + 13257*T1^5*T2^6 + 15480*T1^6*T2^6 - 27141*T1^7*T2^6 + 
     10531*T1^8*T2^6 + 707*T1^9*T2^6 - 2284*T1^10*T2^6 + 292*T1^11*T2^6 + 
     51*T1^12*T2^6 + 391*T1*T2^7 + 1096*T1^2*T2^7 - 4598*T1^3*T2^7 + 
     4882*T1^4*T2^7 + 11658*T1^5*T2^7 - 27141*T1^6*T2^7 + 19131*T1^7*T2^7 + 
     1791*T1^8*T2^7 - 7703*T1^9*T2^7 + 3619*T1^10*T2^7 - 122*T1^11*T2^7 - 
     239*T1^12*T2^7 - 627*T1^2*T2^8 + 922*T1^3*T2^8 + 2092*T1^4*T2^8 - 
     9872*T1^5*T2^8 + 10531*T1^6*T2^8 + 1791*T1^7*T2^8 - 12505*T1^8*T2^8 + 
     9220*T1^9*T2^8 - 1696*T1^10*T2^8 - 1010*T1^11*T2^8 + 561*T1^12*T2^8 + 
     430*T1^3*T2^9 - 1850*T1^4*T2^9 + 2794*T1^5*T2^9 + 707*T1^6*T2^9 - 
     7703*T1^7*T2^9 + 9220*T1^8*T2^9 - 3205*T1^9*T2^9 - 2123*T1^10*T2^9 + 
     2182*T1^11*T2^9 - 731*T1^12*T2^9 - 33*T1^4*T2^10 + 676*T1^5*T2^10 - 
     2284*T1^6*T2^10 + 3619*T1^7*T2^10 - 1696*T1^8*T2^10 - 2123*T1^9*T2^10 + 
     3656*T1^10*T2^10 - 2096*T1^11*T2^10 + 561*T1^12*T2^10 - 113*T1^5*T2^11 + 
     292*T1^6*T2^11 - 122*T1^7*T2^11 - 1010*T1^8*T2^11 + 2182*T1^9*T2^11 - 
     2096*T1^10*T2^11 + 1006*T1^11*T2^11 - 239*T1^12*T2^11 + 51*T1^6*T2^12 - 
     239*T1^7*T2^12 + 561*T1^8*T2^12 - 731*T1^9*T2^12 + 561*T1^10*T2^12 - 
     239*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 198] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-31 + 171*T1 - 419*T1^2 + 543*T1^3 - 419*T1^4 + 171*T1^5 - 31*T1^6 + 
     171*T2 - 816*T1*T2 + 1610*T1^2*T2 - 1278*T1^3*T2 + 86*T1^4*T2 + 
     774*T1^5*T2 - 530*T1^6*T2 + 127*T1^7*T2 - 419*T2^2 + 1610*T1*T2^2 - 
     1996*T1^2*T2^2 - 1018*T1^3*T2^2 + 3886*T1^4*T2^2 - 3610*T1^5*T2^2 + 
     704*T1^6*T2^2 + 422*T1^7*T2^2 - 203*T1^8*T2^2 + 543*T2^3 - 
     1278*T1*T2^3 - 1018*T1^2*T2^3 + 7609*T1^3*T2^3 - 8269*T1^4*T2^3 + 
     2165*T1^5*T2^3 + 4093*T1^6*T2^3 - 2827*T1^7*T2^3 + 438*T1^8*T2^3 + 
     123*T1^9*T2^3 - 419*T2^4 + 86*T1*T2^4 + 3886*T1^2*T2^4 - 
     8269*T1^3*T2^4 + 168*T1^4*T2^4 + 10992*T1^5*T2^4 - 12912*T1^6*T2^4 + 
     3421*T1^7*T2^4 + 1248*T1^8*T2^4 - 750*T1^9*T2^4 + 13*T1^10*T2^4 + 
     171*T2^5 + 774*T1*T2^5 - 3610*T1^2*T2^5 + 2165*T1^3*T2^5 + 
     10992*T1^4*T2^5 - 17434*T1^5*T2^5 + 8728*T1^6*T2^5 + 5079*T1^7*T2^5 - 
     5757*T1^8*T2^5 + 1331*T1^9*T2^5 + 202*T1^10*T2^5 - 49*T1^11*T2^5 - 
     31*T2^6 - 530*T1*T2^6 + 704*T1^2*T2^6 + 4093*T1^3*T2^6 - 
     12912*T1^4*T2^6 + 8728*T1^5*T2^6 + 6228*T1^6*T2^6 - 14428*T1^7*T2^6 + 
     7246*T1^8*T2^6 + 283*T1^9*T2^6 - 1056*T1^10*T2^6 + 174*T1^11*T2^6 + 
     17*T1^12*T2^6 + 127*T1*T2^7 + 422*T1^2*T2^7 - 2827*T1^3*T2^7 + 
     3421*T1^4*T2^7 + 5079*T1^5*T2^7 - 14428*T1^6*T2^7 + 11734*T1^7*T2^7 - 
     834*T1^8*T2^7 - 4501*T1^9*T2^7 + 2114*T1^10*T2^7 - 150*T1^11*T2^7 - 
     93*T1^12*T2^7 - 203*T1^2*T2^8 + 438*T1^3*T2^8 + 1248*T1^4*T2^8 - 
     5757*T1^5*T2^8 + 7246*T1^6*T2^8 - 834*T1^7*T2^8 - 5834*T1^8*T2^8 + 
     5933*T1^9*T2^8 - 1390*T1^10*T2^8 - 398*T1^11*T2^8 + 229*T1^12*T2^8 + 
     123*T1^3*T2^9 - 750*T1^4*T2^9 + 1331*T1^5*T2^9 + 283*T1^6*T2^9 - 
     4501*T1^7*T2^9 + 5933*T1^8*T2^9 - 3233*T1^9*T2^9 - 478*T1^10*T2^9 + 
     966*T1^11*T2^9 - 297*T1^12*T2^9 + 13*T1^4*T2^10 + 202*T1^5*T2^10 - 
     1056*T1^6*T2^10 + 2114*T1^7*T2^10 - 1390*T1^8*T2^10 - 478*T1^9*T2^10 + 
     1644*T1^10*T2^10 - 986*T1^11*T2^10 + 229*T1^12*T2^10 - 49*T1^5*T2^11 + 
     174*T1^6*T2^11 - 150*T1^7*T2^11 - 398*T1^8*T2^11 + 966*T1^9*T2^11 - 
     986*T1^10*T2^11 + 460*T1^11*T2^11 - 93*T1^12*T2^11 + 17*T1^6*T2^12 - 
     93*T1^7*T2^12 + 229*T1^8*T2^12 - 297*T1^9*T2^12 + 229*T1^10*T2^12 - 
     93*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 199] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-17 + 93*T1 - 195*T1^2 + 229*T1^3 - 195*T1^4 + 93*T1^5 - 17*T1^6 + 
     93*T2 - 460*T1*T2 + 800*T1^2*T2 - 692*T1^3*T2 + 408*T1^4*T2 + 
     52*T1^5*T2 - 174*T1^6*T2 + 49*T1^7*T2 - 195*T2^2 + 800*T1*T2^2 - 
     794*T1^2*T2^2 - 354*T1^3*T2^2 + 1190*T1^4*T2^2 - 1826*T1^5*T2^2 + 
     1138*T1^6*T2^2 - 212*T1^7*T2^2 - 11*T1^8*T2^2 + 229*T2^3 - 692*T1*T2^3 - 
     354*T1^2*T2^3 + 2829*T1^3*T2^3 - 3641*T1^4*T2^3 + 3501*T1^5*T2^3 - 
     1075*T1^6*T2^3 - 791*T1^7*T2^3 + 584*T1^8*T2^3 - 95*T1^9*T2^3 - 
     195*T2^4 + 408*T1*T2^4 + 1190*T1^2*T2^4 - 3641*T1^3*T2^4 + 
     2946*T1^4*T2^4 - 1018*T1^5*T2^4 - 2694*T1^6*T2^4 + 3865*T1^7*T2^4 - 
     1112*T1^8*T2^4 - 428*T1^9*T2^4 + 173*T1^10*T2^4 + 93*T2^5 + 52*T1*T2^5 - 
     1826*T1^2*T2^5 + 3501*T1^3*T2^5 - 1018*T1^4*T2^5 - 2122*T1^5*T2^5 + 
     4552*T1^6*T2^5 - 2651*T1^7*T2^5 - 2913*T1^8*T2^5 + 2751*T1^9*T2^5 - 
     256*T1^10*T2^5 - 127*T1^11*T2^5 - 17*T2^6 - 174*T1*T2^6 + 
     1138*T1^2*T2^6 - 1075*T1^3*T2^6 - 2694*T1^4*T2^6 + 4552*T1^5*T2^6 - 
     2184*T1^6*T2^6 - 2476*T1^7*T2^6 + 7008*T1^8*T2^6 - 2229*T1^9*T2^6 - 
     1518*T1^10*T2^6 + 530*T1^11*T2^6 + 31*T1^12*T2^6 + 49*T1*T2^7 - 
     212*T1^2*T2^7 - 791*T1^3*T2^7 + 3865*T1^4*T2^7 - 2651*T1^5*T2^7 - 
     2476*T1^6*T2^7 + 4198*T1^7*T2^7 - 4284*T1^8*T2^7 - 2549*T1^9*T2^7 + 
     3786*T1^10*T2^7 - 520*T1^11*T2^7 - 171*T1^12*T2^7 - 11*T1^2*T2^8 + 
     584*T1^3*T2^8 - 1112*T1^4*T2^8 - 2913*T1^5*T2^8 + 7008*T1^6*T2^8 - 
     4284*T1^7*T2^8 + 1368*T1^8*T2^8 + 4593*T1^9*T2^8 - 3414*T1^10*T2^8 - 
     252*T1^11*T2^8 + 357*T1^12*T2^8 - 95*T1^3*T2^9 - 428*T1^4*T2^9 + 
     2751*T1^5*T2^9 - 2229*T1^6*T2^9 - 2549*T1^7*T2^9 + 4593*T1^8*T2^9 - 
     6133*T1^9*T2^9 + 2314*T1^10*T2^9 + 848*T1^11*T2^9 - 419*T1^12*T2^9 + 
     173*T1^4*T2^10 - 256*T1^5*T2^10 - 1518*T1^6*T2^10 + 3786*T1^7*T2^10 - 
     3414*T1^8*T2^10 + 2314*T1^9*T2^10 + 414*T1^10*T2^10 - 1268*T1^11*T2^10 + 
     357*T1^12*T2^10 - 127*T1^5*T2^11 + 530*T1^6*T2^11 - 520*T1^7*T2^11 - 
     252*T1^8*T2^11 + 848*T1^9*T2^11 - 1268*T1^10*T2^11 + 816*T1^11*T2^11 - 
     171*T1^12*T2^11 + 31*T1^6*T2^12 - 171*T1^7*T2^12 + 357*T1^8*T2^12 - 
     419*T1^9*T2^12 + 357*T1^10*T2^12 - 171*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 200] -> 
  {(7 - 21*T + 29*T^2 - 21*T^3 + 7*T^4)/T^2, 
   -((1533 - 4529*T1 + 6229*T1^2 - 4529*T1^3 + 1533*T1^4 - 4529*T2 + 
      9919*T1*T2 - 8139*T1^2*T2 - 789*T1^3*T2 + 5803*T1^4*T2 - 3500*T1^5*T2 + 
      6229*T2^2 - 8139*T1*T2^2 - 1878*T1^2*T2^2 + 13860*T1^3*T2^2 - 
      10810*T1^4*T2^2 + 387*T1^5*T2^2 + 3387*T1^6*T2^2 - 4529*T2^3 - 
      789*T1*T2^3 + 13860*T1^2*T2^3 - 16782*T1^3*T2^3 + 1320*T1^4*T2^3 + 
      9597*T1^5*T2^3 - 5787*T1^6*T2^3 - 1442*T1^7*T2^3 + 1533*T2^4 + 
      5803*T1*T2^4 - 10810*T1^2*T2^4 + 1320*T1^3*T2^4 + 14712*T1^4*T2^4 - 
      13968*T1^5*T2^4 + 2028*T1^6*T2^4 + 3745*T1^7*T2^4 + 161*T1^8*T2^4 - 
      3500*T1*T2^5 + 387*T1^2*T2^5 + 9597*T1^3*T2^5 - 13968*T1^4*T2^5 + 
      4134*T1^5*T2^5 + 5334*T1^6*T2^5 - 4611*T1^7*T2^5 - 413*T1^8*T2^5 + 
      3387*T1^2*T2^6 - 5787*T1^3*T2^6 + 2028*T1^4*T2^6 + 5334*T1^5*T2^6 - 
      6904*T1^6*T2^6 + 2739*T1^7*T2^6 + 545*T1^8*T2^6 - 1442*T1^3*T2^7 + 
      3745*T1^4*T2^7 - 4611*T1^5*T2^7 + 2739*T1^6*T2^7 - 371*T1^7*T2^7 - 
      413*T1^8*T2^7 + 161*T1^4*T2^8 - 413*T1^5*T2^8 + 545*T1^6*T2^8 - 
      413*T1^7*T2^8 + 161*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 201] -> {((-2 + T)^2*(-1 + 2*T)^2)/T^2, 
   (4*(-32 + 158*T1 - 260*T1^2 + 158*T1^3 - 32*T1^4 + 158*T2 - 702*T1*T2 + 
      903*T1^2*T2 - 157*T1^3*T2 - 222*T1^4*T2 + 78*T1^5*T2 - 260*T2^2 + 
      903*T1*T2^2 - 263*T1^2*T2^2 - 1767*T1^3*T2^2 + 1651*T1^4*T2^2 - 
      417*T1^5*T2^2 + 4*T1^6*T2^2 + 158*T2^3 - 157*T1*T2^3 - 1767*T1^2*T2^3 + 
      4345*T1^3*T2^3 - 2960*T1^4*T2^3 + 213*T1^5*T2^3 + 383*T1^6*T2^3 - 
      82*T1^7*T2^3 - 32*T2^4 - 222*T1*T2^4 + 1651*T1^2*T2^4 - 
      2960*T1^3*T2^4 + 648*T1^4*T2^4 + 2520*T1^5*T2^4 - 1821*T1^6*T2^4 + 
      258*T1^7*T2^4 + 32*T1^8*T2^4 + 78*T1*T2^5 - 417*T1^2*T2^5 + 
      213*T1^3*T2^5 + 2520*T1^4*T2^5 - 4785*T1^5*T2^5 + 2193*T1^6*T2^5 + 
      123*T1^7*T2^5 - 162*T1^8*T2^5 + 4*T1^2*T2^6 + 383*T1^3*T2^6 - 
      1821*T1^4*T2^6 + 2193*T1^5*T2^6 + 93*T1^6*T2^6 - 937*T1^7*T2^6 + 
      268*T1^8*T2^6 - 82*T1^3*T2^7 + 258*T1^4*T2^7 + 123*T1^5*T2^7 - 
      937*T1^6*T2^7 + 738*T1^7*T2^7 - 162*T1^8*T2^7 + 32*T1^4*T2^8 - 
      162*T1^5*T2^8 + 268*T1^6*T2^8 - 162*T1^7*T2^8 + 32*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 202] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 425*T1^2 + 505*T1^3 - 425*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 1652*T1^2*T2 - 1104*T1^3*T2 + 264*T1^4*T2 + 
     740*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 425*T2^2 + 1652*T1*T2^2 - 
     392*T1^2*T2^2 - 3664*T1^3*T2^2 + 5398*T1^4*T2^2 - 5640*T1^5*T2^2 + 
     2104*T1^6*T2^2 + 404*T1^7*T2^2 - 217*T1^8*T2^2 + 505*T2^3 - 
     1104*T1*T2^3 - 3664*T1^2*T2^3 + 9544*T1^3*T2^3 - 7208*T1^4*T2^3 + 
     3508*T1^5*T2^3 + 3826*T1^6*T2^3 - 4132*T1^7*T2^3 + 504*T1^8*T2^3 + 
     133*T1^9*T2^3 - 425*T2^4 + 264*T1*T2^4 + 5398*T1^2*T2^4 - 
     7208*T1^3*T2^4 - 2123*T1^4*T2^4 + 7063*T1^5*T2^4 - 11267*T1^6*T2^4 + 
     4200*T1^7*T2^4 + 1878*T1^8*T2^4 - 744*T1^9*T2^4 - 9*T1^10*T2^4 + 
     197*T2^5 + 740*T1*T2^5 - 5640*T1^2*T2^5 + 3508*T1^3*T2^5 + 
     7063*T1^4*T2^5 - 7160*T1^5*T2^5 + 4894*T1^6*T2^5 + 4203*T1^7*T2^5 - 
     5824*T1^8*T2^5 + 860*T1^9*T2^5 + 308*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 2104*T1^2*T2^6 + 3826*T1^3*T2^6 - 
     11267*T1^4*T2^6 + 4894*T1^5*T2^6 + 1788*T1^6*T2^6 - 7258*T1^7*T2^6 + 
     3949*T1^8*T2^6 + 1834*T1^9*T2^6 - 1480*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 404*T1^2*T2^7 - 4132*T1^3*T2^7 + 
     4200*T1^4*T2^7 + 4203*T1^5*T2^7 - 7258*T1^6*T2^7 + 4796*T1^7*T2^7 + 
     1343*T1^8*T2^7 - 5132*T1^9*T2^7 + 2368*T1^10*T2^7 - 28*T1^11*T2^7 - 
     91*T1^12*T2^7 - 217*T1^2*T2^8 + 504*T1^3*T2^8 + 1878*T1^4*T2^8 - 
     5824*T1^5*T2^8 + 3949*T1^6*T2^8 + 1343*T1^7*T2^8 - 5195*T1^8*T2^8 + 
     5584*T1^9*T2^8 - 1642*T1^10*T2^8 - 504*T1^11*T2^8 + 199*T1^12*T2^8 + 
     133*T1^3*T2^9 - 744*T1^4*T2^9 + 860*T1^5*T2^9 + 1834*T1^6*T2^9 - 
     5132*T1^7*T2^9 + 5584*T1^8*T2^9 - 3884*T1^9*T2^9 + 392*T1^10*T2^9 + 
     864*T1^11*T2^9 - 239*T1^12*T2^9 - 9*T1^4*T2^10 + 308*T1^5*T2^10 - 
     1480*T1^6*T2^10 + 2368*T1^7*T2^10 - 1642*T1^8*T2^10 + 392*T1^9*T2^10 + 
     1016*T1^10*T2^10 - 940*T1^11*T2^10 + 199*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 28*T1^7*T2^11 - 504*T1^8*T2^11 + 864*T1^9*T2^11 - 
     940*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 199*T1^8*T2^12 - 239*T1^9*T2^12 + 199*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 203] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6))/T^4), 
   -((-7 + 35*T1 - 63*T1^2 + 77*T1^3 - 77*T1^4 + 77*T1^5 - 63*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 165*T1^2*T2 - 115*T1^3*T2 + 
      55*T1^4*T2 - 55*T1^5*T2 - 15*T1^6*T2 + 95*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 63*T2^2 + 165*T1*T2^2 + 133*T1^2*T2^2 - 425*T1^3*T2^2 + 
      545*T1^4*T2^2 - 457*T1^5*T2^2 + 581*T1^6*T2^2 - 533*T1^7*T2^2 + 
      277*T1^8*T2^2 + 75*T1^9*T2^2 - 45*T1^10*T2^2 + 77*T2^3 - 115*T1*T2^3 - 
      425*T1^2*T2^3 + 512*T1^3*T2^3 - 330*T1^4*T2^3 + 54*T1^5*T2^3 - 
      276*T1^6*T2^3 + 42*T1^7*T2^3 + 278*T1^8*T2^3 - 452*T1^9*T2^3 + 
      5*T1^10*T2^3 + 44*T1^11*T2^3 - 77*T2^4 + 55*T1*T2^4 + 545*T1^2*T2^4 - 
      330*T1^3*T2^4 + 151*T1^4*T2^4 - 49*T1^5*T2^4 + 471*T1^6*T2^4 - 
      93*T1^7*T2^4 - 69*T1^8*T2^4 + 66*T1^9*T2^4 + 391*T1^10*T2^4 - 
      55*T1^11*T2^4 - 33*T1^12*T2^4 + 77*T2^5 - 55*T1*T2^5 - 457*T1^2*T2^5 + 
      54*T1^3*T2^5 - 49*T1^4*T2^5 + 45*T1^5*T2^5 - 427*T1^6*T2^5 - 
      75*T1^7*T2^5 + 45*T1^8*T2^5 - 60*T1^9*T2^5 - 232*T1^10*T2^5 - 
      226*T1^11*T2^5 + 55*T1^12*T2^5 + 22*T1^13*T2^5 - 63*T2^6 - 15*T1*T2^6 + 
      581*T1^2*T2^6 - 276*T1^3*T2^6 + 471*T1^4*T2^6 - 427*T1^5*T2^6 + 
      652*T1^6*T2^6 - 86*T1^7*T2^6 + 160*T1^8*T2^6 - 9*T1^9*T2^6 + 
      229*T1^10*T2^6 + 120*T1^11*T2^6 + 165*T1^12*T2^6 - 65*T1^13*T2^6 - 
      9*T1^14*T2^6 + 35*T2^7 + 95*T1*T2^7 - 533*T1^2*T2^7 + 42*T1^3*T2^7 - 
      93*T1^4*T2^7 - 75*T1^5*T2^7 - 86*T1^6*T2^7 - 304*T1^7*T2^7 + 
      34*T1^8*T2^7 - 33*T1^9*T2^7 - 295*T1^10*T2^7 + 50*T1^11*T2^7 - 
      234*T1^12*T2^7 - 20*T1^13*T2^7 + 45*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 
      277*T1^2*T2^8 + 278*T1^3*T2^8 - 69*T1^4*T2^8 + 45*T1^5*T2^8 + 
      160*T1^6*T2^8 + 34*T1^7*T2^8 + 300*T1^8*T2^8 - 266*T1^9*T2^8 + 
      370*T1^10*T2^8 - 21*T1^11*T2^8 + 75*T1^12*T2^8 + 162*T1^13*T2^8 - 
      77*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 75*T1^2*T2^9 - 
      452*T1^3*T2^9 + 66*T1^4*T2^9 - 60*T1^5*T2^9 - 9*T1^6*T2^9 - 
      33*T1^7*T2^9 - 266*T1^8*T2^9 + 72*T1^9*T2^9 + 20*T1^10*T2^9 - 
      229*T1^11*T2^9 + 83*T1^12*T2^9 - 210*T1^13*T2^9 + 61*T1^14*T2^9 + 
      25*T1^15*T2^9 - 5*T1^16*T2^9 - 45*T1^2*T2^10 + 5*T1^3*T2^10 + 
      391*T1^4*T2^10 - 232*T1^5*T2^10 + 229*T1^6*T2^10 - 295*T1^7*T2^10 + 
      370*T1^8*T2^10 + 20*T1^9*T2^10 - 122*T1^10*T2^10 + 123*T1^11*T2^10 - 
      13*T1^12*T2^10 + 164*T1^13*T2^10 - 25*T1^14*T2^10 - 45*T1^15*T2^10 + 
      9*T1^16*T2^10 + 44*T1^3*T2^11 - 55*T1^4*T2^11 - 226*T1^5*T2^11 + 
      120*T1^6*T2^11 + 50*T1^7*T2^11 - 21*T1^8*T2^11 - 229*T1^9*T2^11 + 
      123*T1^10*T2^11 - 21*T1^11*T2^11 + 39*T1^12*T2^11 - 166*T1^13*T2^11 + 
      5*T1^14*T2^11 + 55*T1^15*T2^11 - 11*T1^16*T2^11 - 33*T1^4*T2^12 + 
      55*T1^5*T2^12 + 165*T1^6*T2^12 - 234*T1^7*T2^12 + 75*T1^8*T2^12 + 
      83*T1^9*T2^12 - 13*T1^10*T2^12 + 39*T1^11*T2^12 - 145*T1^12*T2^12 + 
      162*T1^13*T2^12 + 11*T1^14*T2^12 - 55*T1^15*T2^12 + 11*T1^16*T2^12 + 
      22*T1^5*T2^13 - 65*T1^6*T2^13 - 20*T1^7*T2^13 + 162*T1^8*T2^13 - 
      210*T1^9*T2^13 + 164*T1^10*T2^13 - 166*T1^11*T2^13 + 162*T1^12*T2^13 - 
      72*T1^13*T2^13 - 47*T1^14*T2^13 + 55*T1^15*T2^13 - 11*T1^16*T2^13 - 
      9*T1^6*T2^14 + 45*T1^7*T2^14 - 77*T1^8*T2^14 + 61*T1^9*T2^14 - 
      25*T1^10*T2^14 + 5*T1^11*T2^14 + 11*T1^12*T2^14 - 47*T1^13*T2^14 + 
      67*T1^14*T2^14 - 45*T1^15*T2^14 + 9*T1^16*T2^14 - 5*T1^8*T2^15 + 
      25*T1^9*T2^15 - 45*T1^10*T2^15 + 55*T1^11*T2^15 - 55*T1^12*T2^15 + 
      55*T1^13*T2^15 - 45*T1^14*T2^15 + 25*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 9*T1^10*T2^16 - 11*T1^11*T2^16 + 
      11*T1^12*T2^16 - 11*T1^13*T2^16 + 9*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 204] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 225*T1 - 469*T1^2 + 591*T1^3 - 469*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1582*T1^2*T2 - 1176*T1^3*T2 - 32*T1^4*T2 + 
      834*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 469*T2^2 + 1582*T1*T2^2 - 
      247*T1^2*T2^2 - 2941*T1^3*T2^2 + 5577*T1^4*T2^2 - 4597*T1^5*T2^2 + 
      1685*T1^6*T2^2 + 570*T1^7*T2^2 - 285*T1^8*T2^2 + 591*T2^3 - 
      1176*T1*T2^3 - 2941*T1^2*T2^3 + 6781*T1^3*T2^3 - 6523*T1^4*T2^3 + 
      717*T1^5*T2^3 + 3573*T1^6*T2^3 - 3654*T1^7*T2^3 + 232*T1^8*T2^3 + 
      243*T1^9*T2^3 - 469*T2^4 - 32*T1*T2^4 + 5577*T1^2*T2^4 - 
      6523*T1^3*T2^4 + 1829*T1^4*T2^4 + 5543*T1^5*T2^4 - 5791*T1^6*T2^4 + 
      1539*T1^7*T2^4 + 2791*T1^8*T2^4 - 780*T1^9*T2^4 - 101*T1^10*T2^4 + 
      225*T2^5 + 834*T1*T2^5 - 4597*T1^2*T2^5 + 717*T1^3*T2^5 + 
      5543*T1^4*T2^5 - 8350*T1^5*T2^5 + 1958*T1^6*T2^5 + 3864*T1^7*T2^5 - 
      4879*T1^8*T2^5 - 112*T1^9*T2^5 + 526*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 1685*T1^2*T2^6 + 3573*T1^3*T2^6 - 
      5791*T1^4*T2^6 + 1958*T1^5*T2^6 + 6012*T1^6*T2^6 - 7186*T1^7*T2^6 + 
      2943*T1^8*T2^6 + 2371*T1^9*T2^6 - 971*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 570*T1^2*T2^7 - 3654*T1^3*T2^7 + 
      1539*T1^4*T2^7 + 3864*T1^5*T2^7 - 7186*T1^6*T2^7 + 3122*T1^7*T2^7 + 
      2185*T1^8*T2^7 - 4057*T1^9*T2^7 + 831*T1^10*T2^7 + 262*T1^11*T2^7 - 
      39*T1^12*T2^7 - 285*T1^2*T2^8 + 232*T1^3*T2^8 + 2791*T1^4*T2^8 - 
      4879*T1^5*T2^8 + 2943*T1^6*T2^8 + 2185*T1^7*T2^8 - 4677*T1^8*T2^8 + 
      3183*T1^9*T2^8 + 5*T1^10*T2^8 - 516*T1^11*T2^8 + 83*T1^12*T2^8 + 
      243*T1^3*T2^9 - 780*T1^4*T2^9 - 112*T1^5*T2^9 + 2371*T1^6*T2^9 - 
      4057*T1^7*T2^9 + 3183*T1^8*T2^9 - 837*T1^9*T2^9 - 825*T1^10*T2^9 + 
      628*T1^11*T2^9 - 105*T1^12*T2^9 - 101*T1^4*T2^10 + 526*T1^5*T2^10 - 
      971*T1^6*T2^10 + 831*T1^7*T2^10 + 5*T1^8*T2^10 - 825*T1^9*T2^10 + 
      961*T1^10*T2^10 - 486*T1^11*T2^10 + 83*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 262*T1^7*T2^11 - 516*T1^8*T2^11 + 628*T1^9*T2^11 - 
      486*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 83*T1^8*T2^12 - 105*T1^9*T2^12 + 83*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 205] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-17 + 85*T1 - 179*T1^2 + 213*T1^3 - 179*T1^4 + 85*T1^5 - 17*T1^6 + 
     85*T2 - 380*T1*T2 + 670*T1^2*T2 - 590*T1^3*T2 + 330*T1^4*T2 + 
     50*T1^5*T2 - 140*T1^6*T2 + 45*T1^7*T2 - 179*T2^2 + 670*T1*T2^2 - 
     779*T1^2*T2^2 - 37*T1^3*T2^2 + 753*T1^4*T2^2 - 1297*T1^5*T2^2 + 
     817*T1^6*T2^2 - 170*T1^7*T2^2 - 11*T1^8*T2^2 + 213*T2^3 - 590*T1*T2^3 - 
     37*T1^2*T2^3 + 1832*T1^3*T2^3 - 2552*T1^4*T2^3 + 2458*T1^5*T2^3 - 
     628*T1^6*T2^3 - 667*T1^7*T2^3 + 490*T1^8*T2^3 - 87*T1^9*T2^3 - 
     179*T2^4 + 330*T1*T2^4 + 753*T1^2*T2^4 - 2552*T1^3*T2^4 + 
     2168*T1^4*T2^4 - 660*T1^5*T2^4 - 2140*T1^6*T2^4 + 2748*T1^7*T2^4 - 
     719*T1^8*T2^4 - 350*T1^9*T2^4 + 157*T1^10*T2^4 + 85*T2^5 + 50*T1*T2^5 - 
     1297*T1^2*T2^5 + 2458*T1^3*T2^5 - 660*T1^4*T2^5 - 1973*T1^5*T2^5 + 
     3847*T1^6*T2^5 - 2025*T1^7*T2^5 - 1972*T1^8*T2^5 + 1853*T1^9*T2^5 - 
     210*T1^10*T2^5 - 115*T1^11*T2^5 - 17*T2^6 - 140*T1*T2^6 + 
     817*T1^2*T2^6 - 628*T1^3*T2^6 - 2140*T1^4*T2^6 + 3847*T1^5*T2^6 - 
     1980*T1^6*T2^6 - 2023*T1^7*T2^6 + 5122*T1^8*T2^6 - 1648*T1^9*T2^6 - 
     915*T1^10*T2^6 + 420*T1^11*T2^6 + 31*T1^12*T2^6 + 45*T1*T2^7 - 
     170*T1^2*T2^7 - 667*T1^3*T2^7 + 2748*T1^4*T2^7 - 2025*T1^5*T2^7 - 
     2023*T1^6*T2^7 + 3797*T1^7*T2^7 - 3390*T1^8*T2^7 - 1682*T1^9*T2^7 + 
     2483*T1^10*T2^7 - 430*T1^11*T2^7 - 155*T1^12*T2^7 - 11*T1^2*T2^8 + 
     490*T1^3*T2^8 - 719*T1^4*T2^8 - 1972*T1^5*T2^8 + 5122*T1^6*T2^8 - 
     3390*T1^7*T2^8 + 814*T1^8*T2^8 + 3328*T1^9*T2^8 - 2191*T1^10*T2^8 - 
     190*T1^11*T2^8 + 325*T1^12*T2^8 - 87*T1^3*T2^9 - 350*T1^4*T2^9 + 
     1853*T1^5*T2^9 - 1648*T1^6*T2^9 - 1682*T1^7*T2^9 + 3328*T1^8*T2^9 - 
     4108*T1^9*T2^9 + 1223*T1^10*T2^9 + 730*T1^11*T2^9 - 387*T1^12*T2^9 + 
     157*T1^4*T2^10 - 210*T1^5*T2^10 - 915*T1^6*T2^10 + 2483*T1^7*T2^10 - 
     2191*T1^8*T2^10 + 1223*T1^9*T2^10 + 681*T1^10*T2^10 - 1050*T1^11*T2^10 + 
     325*T1^12*T2^10 - 115*T1^5*T2^11 + 420*T1^6*T2^11 - 430*T1^7*T2^11 - 
     190*T1^8*T2^11 + 730*T1^9*T2^11 - 1050*T1^10*T2^11 + 660*T1^11*T2^11 - 
     155*T1^12*T2^11 + 31*T1^6*T2^12 - 155*T1^7*T2^12 + 325*T1^8*T2^12 - 
     387*T1^9*T2^12 + 325*T1^10*T2^12 - 155*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 206] -> 
  {-((1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 7*T^6 - 5*T^7 + T^8)/T^4), 
   -((-1 + 5*T1 - 7*T1^2 + 7*T1^3 - 7*T1^4 + 7*T1^5 - 7*T1^6 + 5*T1^7 - 
      T1^8 + 5*T2 - 25*T1*T2 + 35*T1^2*T2 - 35*T1^3*T2 + 35*T1^4*T2 - 
      35*T1^5*T2 + 35*T1^6*T2 - 25*T1^7*T2 + 5*T1^8*T2 - 7*T2^2 + 
      35*T1*T2^2 - 37*T1^2*T2^2 + 9*T1^3*T2^2 + 3*T1^4*T2^2 - 3*T1^5*T2^2 + 
      3*T1^6*T2^2 - 19*T1^7*T2^2 + 47*T1^8*T2^2 - 35*T1^9*T2^2 + 
      7*T1^10*T2^2 + 7*T2^3 - 35*T1*T2^3 + 9*T1^2*T2^3 + 98*T1^3*T2^3 - 
      116*T1^4*T2^3 + 98*T1^5*T2^3 - 98*T1^6*T2^3 + 122*T1^7*T2^3 - 
      154*T1^8*T2^3 + 72*T1^9*T2^3 + 35*T1^10*T2^3 - 14*T1^11*T2^3 - 7*T2^4 + 
      35*T1*T2^4 + 3*T1^2*T2^4 - 116*T1^3*T2^4 + 34*T1^4*T2^4 - 2*T1^5*T2^4 + 
      28*T1^6*T2^4 - 58*T1^7*T2^4 + 62*T1^8*T2^4 + 108*T1^9*T2^4 - 
      151*T1^10*T2^4 - 35*T1^11*T2^4 + 21*T1^12*T2^4 + 7*T2^5 - 35*T1*T2^5 - 
      3*T1^2*T2^5 + 98*T1^3*T2^5 - 2*T1^4*T2^5 + 119*T1^5*T2^5 - 
      179*T1^6*T2^5 + 185*T1^7*T2^5 - 175*T1^8*T2^5 + 5*T1^9*T2^5 - 
      98*T1^10*T2^5 + 228*T1^11*T2^5 + 35*T1^12*T2^5 - 28*T1^13*T2^5 - 
      7*T2^6 + 35*T1*T2^6 + 3*T1^2*T2^6 - 98*T1^3*T2^6 + 28*T1^4*T2^6 - 
      179*T1^5*T2^6 + 62*T1^6*T2^6 - 32*T1^7*T2^6 + 34*T1^8*T2^6 + 
      171*T1^9*T2^6 - 70*T1^10*T2^6 + 98*T1^11*T2^6 - 305*T1^12*T2^6 - 
      35*T1^13*T2^6 + 35*T1^14*T2^6 + 5*T2^7 - 25*T1*T2^7 - 19*T1^2*T2^7 + 
      122*T1^3*T2^7 - 58*T1^4*T2^7 + 185*T1^5*T2^7 - 32*T1^6*T2^7 + 
      234*T1^7*T2^7 - 284*T1^8*T2^7 + 45*T1^9*T2^7 - 207*T1^10*T2^7 + 
      187*T1^11*T2^7 - 172*T1^12*T2^7 + 464*T1^13*T2^7 - 25*T1^14*T2^7 - 
      30*T1^15*T2^7 - T2^8 + 5*T1*T2^8 + 47*T1^2*T2^8 - 154*T1^3*T2^8 + 
      62*T1^4*T2^8 - 175*T1^5*T2^8 + 34*T1^6*T2^8 - 284*T1^7*T2^8 + 
      108*T1^8*T2^8 + 184*T1^9*T2^8 + 20*T1^10*T2^8 + 35*T1^11*T2^8 - 
      50*T1^12*T2^8 - 42*T1^13*T2^8 - 451*T1^14*T2^8 + 115*T1^15*T2^8 + 
      7*T1^16*T2^8 - 35*T1^2*T2^9 + 72*T1^3*T2^9 + 108*T1^4*T2^9 + 
      5*T1^5*T2^9 + 171*T1^6*T2^9 + 45*T1^7*T2^9 + 184*T1^8*T2^9 - 
      334*T1^9*T2^9 + 122*T1^10*T2^9 - 221*T1^11*T2^9 + 250*T1^12*T2^9 - 
      186*T1^13*T2^9 + 555*T1^14*T2^9 - 35*T1^15*T2^9 - 35*T1^16*T2^9 + 
      7*T1^2*T2^10 + 35*T1^3*T2^10 - 151*T1^4*T2^10 - 98*T1^5*T2^10 - 
      70*T1^6*T2^10 - 207*T1^7*T2^10 + 20*T1^8*T2^10 + 122*T1^9*T2^10 - 
      8*T1^10*T2^10 + 143*T1^11*T2^10 - 168*T1^12*T2^10 + 98*T1^13*T2^10 - 
      459*T1^14*T2^10 - 35*T1^15*T2^10 + 49*T1^16*T2^10 - 14*T1^3*T2^11 - 
      35*T1^4*T2^11 + 228*T1^5*T2^11 + 98*T1^6*T2^11 + 187*T1^7*T2^11 + 
      35*T1^8*T2^11 - 221*T1^9*T2^11 + 143*T1^10*T2^11 - 259*T1^11*T2^11 + 
      194*T1^12*T2^11 - 98*T1^13*T2^11 + 459*T1^14*T2^11 + 35*T1^15*T2^11 - 
      49*T1^16*T2^11 + 21*T1^4*T2^12 + 35*T1^5*T2^12 - 305*T1^6*T2^12 - 
      172*T1^7*T2^12 - 50*T1^8*T2^12 + 250*T1^9*T2^12 - 168*T1^10*T2^12 + 
      194*T1^11*T2^12 - 22*T1^12*T2^12 + 52*T1^13*T2^12 - 459*T1^14*T2^12 - 
      35*T1^15*T2^12 + 49*T1^16*T2^12 - 28*T1^5*T2^13 - 35*T1^6*T2^13 + 
      464*T1^7*T2^13 - 42*T1^8*T2^13 - 186*T1^9*T2^13 + 98*T1^10*T2^13 - 
      98*T1^11*T2^13 + 52*T1^12*T2^13 - 294*T1^13*T2^13 + 527*T1^14*T2^13 + 
      35*T1^15*T2^13 - 49*T1^16*T2^13 + 35*T1^6*T2^14 - 25*T1^7*T2^14 - 
      451*T1^8*T2^14 + 555*T1^9*T2^14 - 459*T1^10*T2^14 + 459*T1^11*T2^14 - 
      459*T1^12*T2^14 + 527*T1^13*T2^14 - 367*T1^14*T2^14 - 95*T1^15*T2^14 + 
      49*T1^16*T2^14 - 30*T1^7*T2^15 + 115*T1^8*T2^15 - 35*T1^9*T2^15 - 
      35*T1^10*T2^15 + 35*T1^11*T2^15 - 35*T1^12*T2^15 + 35*T1^13*T2^15 - 
      95*T1^14*T2^15 + 145*T1^15*T2^15 - 35*T1^16*T2^15 + 7*T1^8*T2^16 - 
      35*T1^9*T2^16 + 49*T1^10*T2^16 - 49*T1^11*T2^16 + 49*T1^12*T2^16 - 
      49*T1^13*T2^16 + 49*T1^14*T2^16 - 35*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 207] -> 
  {-((2 - 11*T + 19*T^2 - 21*T^3 + 19*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-7 + 39*T1 - 69*T1^2 + 77*T1^3 - 69*T1^4 + 39*T1^5 - 7*T1^6 + 39*T2 - 
      222*T1*T2 + 408*T1^2*T2 - 462*T1^3*T2 + 418*T1^4*T2 - 252*T1^5*T2 + 
      64*T1^6*T2 - 5*T1^7*T2 - 69*T2^2 + 408*T1*T2^2 - 675*T1^2*T2^2 + 
      411*T1^3*T2^2 - 25*T1^4*T2^2 - 349*T1^5*T2^2 + 617*T1^6*T2^2 - 
      428*T1^7*T2^2 + 83*T1^8*T2^2 + 77*T2^3 - 462*T1*T2^3 + 411*T1^2*T2^3 + 
      1139*T1^3*T2^3 - 2163*T1^4*T2^3 + 2417*T1^5*T2^3 - 2233*T1^6*T2^3 + 
      734*T1^7*T2^3 + 506*T1^8*T2^3 - 175*T1^9*T2^3 - 69*T2^4 + 418*T1*T2^4 - 
      25*T1^2*T2^4 - 2163*T1^3*T2^4 + 1895*T1^4*T2^4 - 849*T1^5*T2^4 - 
      141*T1^6*T2^4 + 2499*T1^7*T2^4 - 2219*T1^8*T2^4 - 330*T1^9*T2^4 + 
      235*T1^10*T2^4 + 39*T2^5 - 252*T1*T2^5 - 349*T1^2*T2^5 + 
      2417*T1^3*T2^5 - 849*T1^4*T2^5 + 608*T1^5*T2^5 - 812*T1^6*T2^5 - 
      488*T1^7*T2^5 - 1999*T1^8*T2^5 + 3660*T1^9*T2^5 - 296*T1^10*T2^5 - 
      181*T1^11*T2^5 - 7*T2^6 + 64*T1*T2^6 + 617*T1^2*T2^6 - 2233*T1^3*T2^6 - 
      141*T1^4*T2^6 - 812*T1^5*T2^6 + 1332*T1^6*T2^6 - 68*T1^7*T2^6 + 
      2425*T1^8*T2^6 - 1483*T1^9*T2^6 - 2807*T1^10*T2^6 + 768*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 428*T1^2*T2^7 + 734*T1^3*T2^7 + 
      2499*T1^4*T2^7 - 488*T1^5*T2^7 - 68*T1^6*T2^7 - 1488*T1^7*T2^7 - 
      127*T1^8*T2^7 - 1917*T1^9*T2^7 + 4743*T1^10*T2^7 - 472*T1^11*T2^7 - 
      225*T1^12*T2^7 + 83*T1^2*T2^8 + 506*T1^3*T2^8 - 2219*T1^4*T2^8 - 
      1999*T1^5*T2^8 + 2425*T1^6*T2^8 - 127*T1^7*T2^8 + 389*T1^8*T2^8 + 
      2663*T1^9*T2^8 - 4413*T1^10*T2^8 - 242*T1^11*T2^8 + 387*T1^12*T2^8 - 
      175*T1^3*T2^9 - 330*T1^4*T2^9 + 3660*T1^5*T2^9 - 1483*T1^6*T2^9 - 
      1917*T1^7*T2^9 + 2663*T1^8*T2^9 - 4855*T1^9*T2^9 + 3983*T1^10*T2^9 + 
      638*T1^11*T2^9 - 427*T1^12*T2^9 + 235*T1^4*T2^10 - 296*T1^5*T2^10 - 
      2807*T1^6*T2^10 + 4743*T1^7*T2^10 - 4413*T1^8*T2^10 + 3983*T1^9*T2^10 - 
      1515*T1^10*T2^10 - 1132*T1^11*T2^10 + 387*T1^12*T2^10 - 
      181*T1^5*T2^11 + 768*T1^6*T2^11 - 472*T1^7*T2^11 - 242*T1^8*T2^11 + 
      638*T1^9*T2^11 - 1132*T1^10*T2^11 + 1054*T1^11*T2^11 - 
      225*T1^12*T2^11 + 41*T1^6*T2^12 - 225*T1^7*T2^12 + 387*T1^8*T2^12 - 
      427*T1^9*T2^12 + 387*T1^10*T2^12 - 225*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 208] -> 
  {-((2 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-7 + 43*T1 - 89*T1^2 + 109*T1^3 - 89*T1^4 + 43*T1^5 - 7*T1^6 + 43*T2 - 
      268*T1*T2 + 566*T1^2*T2 - 696*T1^3*T2 + 576*T1^4*T2 - 298*T1^5*T2 + 
      68*T1^6*T2 - 5*T1^7*T2 - 89*T2^2 + 566*T1*T2^2 - 1086*T1^2*T2^2 + 
      840*T1^3*T2^2 - 10*T1^4*T2^2 - 792*T1^5*T2^2 + 1026*T1^6*T2^2 - 
      586*T1^7*T2^2 + 103*T1^8*T2^2 + 109*T2^3 - 696*T1*T2^3 + 
      840*T1^2*T2^3 + 1464*T1^3*T2^3 - 4066*T1^4*T2^3 + 4934*T1^5*T2^3 - 
      3510*T1^6*T2^3 + 696*T1^7*T2^3 + 816*T1^8*T2^3 - 239*T1^9*T2^3 - 
      89*T2^4 + 576*T1*T2^4 - 10*T1^2*T2^4 - 4066*T1^3*T2^4 + 
      5198*T1^4*T2^4 - 2294*T1^5*T2^4 - 2410*T1^6*T2^4 + 5678*T1^7*T2^4 - 
      3754*T1^8*T2^4 - 336*T1^9*T2^4 + 295*T1^10*T2^4 + 43*T2^5 - 
      298*T1*T2^5 - 792*T1^2*T2^5 + 4934*T1^3*T2^5 - 2294*T1^4*T2^5 - 
      2472*T1^5*T2^5 + 4992*T1^6*T2^5 - 3446*T1^7*T2^5 - 2578*T1^8*T2^5 + 
      5304*T1^9*T2^5 - 586*T1^10*T2^5 - 197*T1^11*T2^5 - 7*T2^6 + 
      68*T1*T2^6 + 1026*T1^2*T2^6 - 3510*T1^3*T2^6 - 2410*T1^4*T2^6 + 
      4992*T1^5*T2^6 - 2544*T1^6*T2^6 - 2208*T1^7*T2^6 + 6806*T1^8*T2^6 - 
      4206*T1^9*T2^6 - 3006*T1^10*T2^6 + 932*T1^11*T2^6 + 41*T1^12*T2^6 - 
      5*T1*T2^7 - 586*T1^2*T2^7 + 696*T1^3*T2^7 + 5678*T1^4*T2^7 - 
      3446*T1^5*T2^7 - 2208*T1^6*T2^7 + 5256*T1^7*T2^7 - 4598*T1^8*T2^7 - 
      1834*T1^9*T2^7 + 6792*T1^10*T2^7 - 874*T1^11*T2^7 - 245*T1^12*T2^7 + 
      103*T1^2*T2^8 + 816*T1^3*T2^8 - 3754*T1^4*T2^8 - 2578*T1^5*T2^8 + 
      6806*T1^6*T2^8 - 4598*T1^7*T2^8 - 802*T1^8*T2^8 + 7166*T1^9*T2^8 - 
      7498*T1^10*T2^8 - 96*T1^11*T2^8 + 487*T1^12*T2^8 - 239*T1^3*T2^9 - 
      336*T1^4*T2^9 + 5304*T1^5*T2^9 - 4206*T1^6*T2^9 - 1834*T1^7*T2^9 + 
      7166*T1^8*T2^9 - 9180*T1^9*T2^9 + 5160*T1^10*T2^9 + 1176*T1^11*T2^9 - 
      587*T1^12*T2^9 + 295*T1^4*T2^10 - 586*T1^5*T2^10 - 3006*T1^6*T2^10 + 
      6792*T1^7*T2^10 - 7498*T1^8*T2^10 + 5160*T1^9*T2^10 - 894*T1^10*T2^10 - 
      1738*T1^11*T2^10 + 487*T1^12*T2^10 - 197*T1^5*T2^11 + 932*T1^6*T2^11 - 
      874*T1^7*T2^11 - 96*T1^8*T2^11 + 1176*T1^9*T2^11 - 1738*T1^10*T2^11 + 
      1268*T1^11*T2^11 - 245*T1^12*T2^11 + 41*T1^6*T2^12 - 245*T1^7*T2^12 + 
      487*T1^8*T2^12 - 587*T1^9*T2^12 + 487*T1^10*T2^12 - 245*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 209] -> 
  {-((1 - 10*T + 34*T^2 - 51*T^3 + 34*T^4 - 10*T^5 + T^6)/T^3), 
   -((-3 + 30*T1 - 102*T1^2 + 153*T1^3 - 102*T1^4 + 30*T1^5 - 3*T1^6 + 
      30*T2 - 280*T1*T2 + 819*T1^2*T2 - 849*T1^3*T2 + T1^4*T2 + 379*T1^5*T2 - 
      170*T1^6*T2 + 20*T1^7*T2 - 102*T2^2 + 819*T1*T2^2 - 1501*T1^2*T2^2 - 
      1216*T1^3*T2^2 + 5487*T1^4*T2^2 - 4004*T1^5*T2^2 + 743*T1^6*T2^2 + 
      139*T1^7*T2^2 - 34*T1^8*T2^2 + 153*T2^3 - 849*T1*T2^3 - 
      1216*T1^2*T2^3 + 11649*T1^3*T2^3 - 17665*T1^4*T2^3 + 4503*T1^5*T2^3 + 
      4645*T1^6*T2^3 - 2678*T1^7*T2^3 + 341*T1^8*T2^3 - 102*T2^4 + T1*T2^4 + 
      5487*T1^2*T2^4 - 17665*T1^3*T2^4 + 10055*T1^4*T2^4 + 22825*T1^5*T2^4 - 
      27277*T1^6*T2^4 + 9059*T1^7*T2^4 - 89*T1^8*T2^4 - 339*T1^9*T2^4 + 
      34*T1^10*T2^4 + 30*T2^5 + 379*T1*T2^5 - 4004*T1^2*T2^5 + 
      4503*T1^3*T2^5 + 22825*T1^4*T2^5 - 60096*T1^5*T2^5 + 42964*T1^6*T2^5 - 
      2131*T1^7*T2^5 - 8553*T1^8*T2^5 + 2762*T1^9*T2^5 - 141*T1^10*T2^5 - 
      20*T1^11*T2^5 - 3*T2^6 - 170*T1*T2^6 + 743*T1^2*T2^6 + 4645*T1^3*T2^6 - 
      27277*T1^4*T2^6 + 42964*T1^5*T2^6 - 6084*T1^6*T2^6 - 38688*T1^7*T2^6 + 
      28823*T1^8*T2^6 - 5181*T1^9*T2^6 - 741*T1^10*T2^6 + 170*T1^11*T2^6 + 
      3*T1^12*T2^6 + 20*T1*T2^7 + 139*T1^2*T2^7 - 2678*T1^3*T2^7 + 
      9059*T1^4*T2^7 - 2131*T1^5*T2^7 - 38688*T1^6*T2^7 + 64372*T1^7*T2^7 - 
      27087*T1^8*T2^7 - 3997*T1^9*T2^7 + 4088*T1^10*T2^7 - 381*T1^11*T2^7 - 
      30*T1^12*T2^7 - 34*T1^2*T2^8 + 341*T1^3*T2^8 - 89*T1^4*T2^8 - 
      8553*T1^5*T2^8 + 28823*T1^6*T2^8 - 27087*T1^7*T2^8 - 8509*T1^8*T2^8 + 
      18171*T1^9*T2^8 - 5665*T1^10*T2^8 + T1^11*T2^8 + 102*T1^12*T2^8 - 
      339*T1^4*T2^9 + 2762*T1^5*T2^9 - 5181*T1^6*T2^9 - 3997*T1^7*T2^9 + 
      18171*T1^8*T2^9 - 12185*T1^9*T2^9 + 1300*T1^10*T2^9 + 851*T1^11*T2^9 - 
      153*T1^12*T2^9 + 34*T1^4*T2^10 - 141*T1^5*T2^10 - 741*T1^6*T2^10 + 
      4088*T1^7*T2^10 - 5665*T1^8*T2^10 + 1300*T1^9*T2^10 + 
      1503*T1^10*T2^10 - 821*T1^11*T2^10 + 102*T1^12*T2^10 - 20*T1^5*T2^11 + 
      170*T1^6*T2^11 - 381*T1^7*T2^11 + T1^8*T2^11 + 851*T1^9*T2^11 - 
      821*T1^10*T2^11 + 280*T1^11*T2^11 - 30*T1^12*T2^11 + 3*T1^6*T2^12 - 
      30*T1^7*T2^12 + 102*T1^8*T2^12 - 153*T1^9*T2^12 + 102*T1^10*T2^12 - 
      30*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 210] -> {(4 - 18*T + 29*T^2 - 18*T^3 + 4*T^4)/T^2, 
   (-128 + 572*T1 - 920*T1^2 + 572*T1^3 - 128*T1^4 + 572*T2 - 2270*T1*T2 + 
     2848*T1^2*T2 - 536*T1^3*T2 - 686*T1^4*T2 + 284*T1^5*T2 - 920*T2^2 + 
     2848*T1*T2^2 - 1045*T1^2*T2^2 - 4831*T1^3*T2^2 + 4755*T1^4*T2^2 - 
     1328*T1^5*T2^2 + 8*T1^6*T2^2 + 572*T2^3 - 536*T1*T2^3 - 4831*T1^2*T2^3 + 
     11834*T1^3*T2^3 - 7948*T1^4*T2^3 + 389*T1^5*T2^3 + 1264*T1^6*T2^3 - 
     292*T1^7*T2^3 - 128*T2^4 - 686*T1*T2^4 + 4755*T1^2*T2^4 - 
     7948*T1^3*T2^4 + 1284*T1^4*T2^4 + 7100*T1^5*T2^4 - 5053*T1^6*T2^4 + 
     754*T1^7*T2^4 + 128*T1^8*T2^4 + 284*T1*T2^5 - 1328*T1^2*T2^5 + 
     389*T1^3*T2^5 + 7100*T1^4*T2^5 - 12682*T1^5*T2^5 + 5609*T1^6*T2^5 + 
     472*T1^7*T2^5 - 580*T1^8*T2^5 + 8*T1^2*T2^6 + 1264*T1^3*T2^6 - 
     5053*T1^4*T2^6 + 5609*T1^5*T2^6 + 747*T1^6*T2^6 - 2912*T1^7*T2^6 + 
     936*T1^8*T2^6 - 292*T1^3*T2^7 + 754*T1^4*T2^7 + 472*T1^5*T2^7 - 
     2912*T1^6*T2^7 + 2338*T1^7*T2^7 - 580*T1^8*T2^7 + 128*T1^4*T2^8 - 
     580*T1^5*T2^8 + 936*T1^6*T2^8 - 580*T1^7*T2^8 + 128*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 211] -> 
  {-((3 - 17*T + 27*T^2 - 17*T^3 + 3*T^4)/T^2), 
   -((-18 + 104*T1 - 168*T1^2 + 104*T1^3 - 18*T1^4 + 104*T2 - 649*T1*T2 + 
      1235*T1^2*T2 - 1009*T1^3*T2 + 371*T1^4*T2 - 49*T1^5*T2 - 168*T2^2 + 
      1235*T1*T2^2 - 2545*T1^2*T2^2 + 1123*T1^3*T2^2 + 1343*T1^4*T2^2 - 
      1519*T1^5*T2^2 + 318*T1^6*T2^2 + 104*T2^3 - 1009*T1*T2^3 + 
      1123*T1^2*T2^3 + 5914*T1^3*T2^3 - 11222*T1^4*T2^3 + 6172*T1^5*T2^3 + 
      215*T1^6*T2^3 - 355*T1^7*T2^3 - 18*T2^4 + 371*T1*T2^4 + 
      1343*T1^2*T2^4 - 11222*T1^3*T2^4 + 11556*T1^4*T2^4 + 2038*T1^5*T2^4 - 
      7511*T1^6*T2^4 + 1493*T1^7*T2^4 + 90*T1^8*T2^4 - 49*T1*T2^5 - 
      1519*T1^2*T2^5 + 6172*T1^3*T2^5 + 2038*T1^4*T2^5 - 15098*T1^5*T2^5 + 
      11221*T1^6*T2^5 - 295*T1^7*T2^5 - 508*T1^8*T2^5 + 318*T1^2*T2^6 + 
      215*T1^3*T2^6 - 7511*T1^4*T2^6 + 11221*T1^5*T2^6 - 3623*T1^6*T2^6 - 
      2539*T1^7*T2^6 + 804*T1^8*T2^6 - 355*T1^3*T2^7 + 1493*T1^4*T2^7 - 
      295*T1^5*T2^7 - 2539*T1^6*T2^7 + 2513*T1^7*T2^7 - 508*T1^8*T2^7 + 
      90*T1^4*T2^8 - 508*T1^5*T2^8 + 804*T1^6*T2^8 - 508*T1^7*T2^8 + 
      90*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 212] -> 
  {-(((1 - T + T^2)*(3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4))/T^3), 
   -((-138 + 731*T1 - 1590*T1^2 + 2042*T1^3 - 1590*T1^4 + 731*T1^5 - 
      138*T1^6 + 731*T2 - 3290*T1*T2 + 5334*T1^2*T2 - 4083*T1^3*T2 - 
      243*T1^4*T2 + 2886*T1^5*T2 - 2378*T1^6*T2 + 587*T1^7*T2 - 1590*T2^2 + 
      5334*T1*T2^2 - 2909*T1^2*T2^2 - 7115*T1^3*T2^2 + 16585*T1^4*T2^2 - 
      13205*T1^5*T2^2 + 3811*T1^6*T2^2 + 1974*T1^7*T2^2 - 960*T1^8*T2^2 + 
      2042*T2^3 - 4083*T1*T2^3 - 7115*T1^2*T2^3 + 21781*T1^3*T2^3 - 
      22604*T1^4*T2^3 + 1541*T1^5*T2^3 + 12661*T1^6*T2^3 - 10650*T1^7*T2^3 + 
      717*T1^8*T2^3 + 827*T1^9*T2^3 - 1590*T2^4 - 243*T1*T2^4 + 
      16585*T1^2*T2^4 - 22604*T1^3*T2^4 + 5155*T1^4*T2^4 + 24401*T1^5*T2^4 - 
      23165*T1^6*T2^4 + 4576*T1^7*T2^4 + 8245*T1^8*T2^4 - 2643*T1^9*T2^4 - 
      330*T1^10*T2^4 + 731*T2^5 + 2886*T1*T2^5 - 13205*T1^2*T2^5 + 
      1541*T1^3*T2^5 + 24401*T1^4*T2^5 - 36775*T1^5*T2^5 + 8105*T1^6*T2^5 + 
      16316*T1^7*T2^5 - 16534*T1^8*T2^5 + 550*T1^9*T2^5 + 1686*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 2378*T1*T2^6 + 3811*T1^2*T2^6 + 
      12661*T1^3*T2^6 - 23165*T1^4*T2^6 + 8105*T1^5*T2^6 + 26892*T1^6*T2^6 - 
      31041*T1^7*T2^6 + 11045*T1^8*T2^6 + 6871*T1^9*T2^6 - 3333*T1^10*T2^6 - 
      170*T1^11*T2^6 + 24*T1^12*T2^6 + 587*T1*T2^7 + 1974*T1^2*T2^7 - 
      10650*T1^3*T2^7 + 4576*T1^4*T2^7 + 16316*T1^5*T2^7 - 31041*T1^6*T2^7 + 
      13839*T1^7*T2^7 + 8231*T1^8*T2^7 - 13499*T1^9*T2^7 + 3105*T1^10*T2^7 + 
      774*T1^11*T2^7 - 133*T1^12*T2^7 - 960*T1^2*T2^8 + 717*T1^3*T2^8 + 
      8245*T1^4*T2^8 - 16534*T1^5*T2^8 + 11045*T1^6*T2^8 + 8231*T1^7*T2^8 - 
      17275*T1^8*T2^8 + 10646*T1^9*T2^8 - 95*T1^10*T2^8 - 1683*T1^11*T2^8 + 
      300*T1^12*T2^8 + 827*T1^3*T2^9 - 2643*T1^4*T2^9 + 550*T1^5*T2^9 + 
      6871*T1^6*T2^9 - 13499*T1^7*T2^9 + 10646*T1^8*T2^9 - 2249*T1^9*T2^9 - 
      2985*T1^10*T2^9 + 2157*T1^11*T2^9 - 388*T1^12*T2^9 - 330*T1^4*T2^10 + 
      1686*T1^5*T2^10 - 3333*T1^6*T2^10 + 3105*T1^7*T2^10 - 95*T1^8*T2^10 - 
      2985*T1^9*T2^10 + 3387*T1^10*T2^10 - 1674*T1^11*T2^10 + 
      300*T1^12*T2^10 + 11*T1^5*T2^11 - 170*T1^6*T2^11 + 774*T1^7*T2^11 - 
      1683*T1^8*T2^11 + 2157*T1^9*T2^11 - 1674*T1^10*T2^11 + 
      742*T1^11*T2^11 - 133*T1^12*T2^11 + 24*T1^6*T2^12 - 133*T1^7*T2^12 + 
      300*T1^8*T2^12 - 388*T1^9*T2^12 + 300*T1^10*T2^12 - 133*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 213] -> 
  {-(((1 - 3*T + T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3), 
   -((-138 + 731*T1 - 1494*T1^2 + 1850*T1^3 - 1494*T1^4 + 731*T1^5 - 
      138*T1^6 + 731*T2 - 3294*T1*T2 + 4842*T1^2*T2 - 3491*T1^3*T2 + 
      61*T1^4*T2 + 2490*T1^5*T2 - 2382*T1^6*T2 + 587*T1^7*T2 - 1494*T2^2 + 
      4842*T1*T2^2 - 769*T1^2*T2^2 - 8735*T1^3*T2^2 + 15771*T1^4*T2^2 - 
      13685*T1^5*T2^2 + 5171*T1^6*T2^2 + 1674*T1^7*T2^2 - 900*T1^8*T2^2 + 
      1850*T2^3 - 3491*T1*T2^3 - 8735*T1^2*T2^3 + 19825*T1^3*T2^3 - 
      17942*T1^4*T2^3 + 3049*T1^5*T2^3 + 10189*T1^6*T2^3 - 10880*T1^7*T2^3 + 
      829*T1^8*T2^3 + 743*T1^9*T2^3 - 1494*T2^4 + 61*T1*T2^4 + 
      15771*T1^2*T2^4 - 17942*T1^3*T2^4 + 3550*T1^4*T2^4 + 14568*T1^5*T2^4 - 
      17370*T1^6*T2^4 + 5182*T1^7*T2^4 + 7847*T1^8*T2^4 - 2339*T1^9*T2^4 - 
      306*T1^10*T2^4 + 731*T2^5 + 2490*T1*T2^5 - 13685*T1^2*T2^5 + 
      3049*T1^3*T2^5 + 14568*T1^4*T2^5 - 20411*T1^5*T2^5 + 6655*T1^6*T2^5 + 
      10047*T1^7*T2^5 - 13676*T1^8*T2^5 - 320*T1^9*T2^5 + 1578*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 2382*T1*T2^6 + 5171*T1^2*T2^6 + 
      10189*T1^3*T2^6 - 17370*T1^4*T2^6 + 6655*T1^5*T2^6 + 12060*T1^6*T2^6 - 
      17939*T1^7*T2^6 + 7768*T1^8*T2^6 + 6919*T1^9*T2^6 - 2897*T1^10*T2^6 - 
      174*T1^11*T2^6 + 24*T1^12*T2^6 + 587*T1*T2^7 + 1674*T1^2*T2^7 - 
      10880*T1^3*T2^7 + 5182*T1^4*T2^7 + 10047*T1^5*T2^7 - 17939*T1^6*T2^7 + 
      9127*T1^7*T2^7 + 5526*T1^8*T2^7 - 11543*T1^9*T2^7 + 2485*T1^10*T2^7 + 
      762*T1^11*T2^7 - 133*T1^12*T2^7 - 900*T1^2*T2^8 + 829*T1^3*T2^8 + 
      7847*T1^4*T2^8 - 13676*T1^5*T2^8 + 7768*T1^6*T2^8 + 5526*T1^7*T2^8 - 
      13152*T1^8*T2^8 + 9448*T1^9*T2^8 - 77*T1^10*T2^8 - 1571*T1^11*T2^8 + 
      288*T1^12*T2^8 + 743*T1^3*T2^9 - 2339*T1^4*T2^9 - 320*T1^5*T2^9 + 
      6919*T1^6*T2^9 - 11543*T1^7*T2^9 + 9448*T1^8*T2^9 - 2717*T1^9*T2^9 - 
      2465*T1^10*T2^9 + 1981*T1^11*T2^9 - 364*T1^12*T2^9 - 306*T1^4*T2^10 + 
      1578*T1^5*T2^10 - 2897*T1^6*T2^10 + 2485*T1^7*T2^10 - 77*T1^8*T2^10 - 
      2465*T1^9*T2^10 + 3043*T1^10*T2^10 - 1590*T1^11*T2^10 + 
      288*T1^12*T2^10 + 11*T1^5*T2^11 - 174*T1^6*T2^11 + 762*T1^7*T2^11 - 
      1571*T1^8*T2^11 + 1981*T1^9*T2^11 - 1590*T1^10*T2^11 + 
      738*T1^11*T2^11 - 133*T1^12*T2^11 + 24*T1^6*T2^12 - 133*T1^7*T2^12 + 
      288*T1^8*T2^12 - 364*T1^9*T2^12 + 288*T1^10*T2^12 - 133*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 214] -> {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   (-63 + 355*T1 - 607*T1^2 + 355*T1^3 - 63*T1^4 + 355*T2 - 1799*T1*T2 + 
     2287*T1^2*T2 - 59*T1^3*T2 - 779*T1^4*T2 + 202*T1^5*T2 - 607*T2^2 + 
     2287*T1*T2^2 + 462*T1^2*T2^2 - 7072*T1^3*T2^2 + 4986*T1^4*T2^2 - 
     671*T1^5*T2^2 - 85*T1^6*T2^2 + 355*T2^3 - 59*T1*T2^3 - 7072*T1^2*T2^3 + 
     14086*T1^3*T2^3 - 5532*T1^4*T2^3 - 1649*T1^5*T2^3 + 1063*T1^6*T2^3 - 
     104*T1^7*T2^3 - 63*T2^4 - 779*T1*T2^4 + 4986*T1^2*T2^4 - 
     5532*T1^3*T2^4 - 4800*T1^4*T2^4 + 8884*T1^5*T2^4 - 3796*T1^6*T2^4 + 
     343*T1^7*T2^4 + 45*T1^8*T2^4 + 202*T1*T2^5 - 671*T1^2*T2^5 - 
     1649*T1^3*T2^5 + 8884*T1^4*T2^5 - 10734*T1^5*T2^5 + 3774*T1^6*T2^5 + 
     451*T1^7*T2^5 - 257*T1^8*T2^5 - 85*T1^2*T2^6 + 1063*T1^3*T2^6 - 
     3796*T1^4*T2^6 + 3774*T1^5*T2^6 + 728*T1^6*T2^6 - 1895*T1^7*T2^6 + 
     437*T1^8*T2^6 - 104*T1^3*T2^7 + 343*T1^4*T2^7 + 451*T1^5*T2^7 - 
     1895*T1^6*T2^7 + 1363*T1^7*T2^7 - 257*T1^8*T2^7 + 45*T1^4*T2^8 - 
     257*T1^5*T2^8 + 437*T1^6*T2^8 - 257*T1^7*T2^8 + 45*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 215] -> 
  {(1 - 6*T + 17*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 102*T1^2 + 162*T1^3 - 186*T1^4 + 162*T1^5 - 102*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 432*T1^2*T2 - 462*T1^3*T2 + 
     306*T1^4*T2 - 42*T1^5*T2 - 198*T1^6*T2 + 294*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 102*T2^2 + 432*T1*T2^2 - 720*T1^2*T2^2 + 94*T1^3*T2^2 + 
     565*T1^4*T2^2 - 1020*T1^5*T2^2 + 1041*T1^6*T2^2 - 620*T1^7*T2^2 - 
     176*T1^8*T2^2 + 228*T1^9*T2^2 - 68*T1^10*T2^2 + 162*T2^3 - 462*T1*T2^3 + 
     94*T1^2*T2^3 + 1945*T1^3*T2^3 - 2350*T1^4*T2^3 + 1821*T1^5*T2^3 - 
     531*T1^6*T2^3 - 859*T1^7*T2^3 + 1867*T1^8*T2^3 - 569*T1^9*T2^3 - 
     78*T1^10*T2^3 + 81*T1^11*T2^3 - 186*T2^4 + 306*T1*T2^4 + 565*T1^2*T2^4 - 
     2350*T1^3*T2^4 - 517*T1^4*T2^4 + 3154*T1^5*T2^4 - 5011*T1^6*T2^4 + 
     5086*T1^7*T2^4 - 3601*T1^8*T2^4 - 514*T1^9*T2^4 + 729*T1^10*T2^4 - 
     114*T1^11*T2^4 - 62*T1^12*T2^4 + 162*T2^5 - 42*T1*T2^5 - 
     1020*T1^2*T2^5 + 1821*T1^3*T2^5 + 3154*T1^4*T2^5 - 4238*T1^5*T2^5 + 
     3689*T1^6*T2^5 - 1486*T1^7*T2^5 - 908*T1^8*T2^5 + 4036*T1^9*T2^5 - 
     807*T1^10*T2^5 - 426*T1^11*T2^5 + 210*T1^12*T2^5 + 27*T1^13*T2^5 - 
     102*T2^6 - 198*T1*T2^6 + 1041*T1^2*T2^6 - 531*T1^3*T2^6 - 
     5011*T1^4*T2^6 + 3689*T1^5*T2^6 - 2094*T1^6*T2^6 + 228*T1^7*T2^6 + 
     686*T1^8*T2^6 - 1759*T1^9*T2^6 - 2481*T1^10*T2^6 + 1407*T1^11*T2^6 - 
     59*T1^12*T2^6 - 162*T1^13*T2^6 + 36*T2^7 + 294*T1*T2^7 - 620*T1^2*T2^7 - 
     859*T1^3*T2^7 + 5086*T1^4*T2^7 - 1486*T1^5*T2^7 + 228*T1^6*T2^7 - 
     58*T1^7*T2^7 + 548*T1^8*T2^7 - 327*T1^9*T2^7 + 3143*T1^10*T2^7 + 
     4*T1^11*T2^7 - 970*T1^12*T2^7 + 349*T1^13*T2^7 + 36*T1^14*T2^7 - 
     6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 - 176*T1^2*T2^8 + 1867*T1^3*T2^8 - 
     3601*T1^4*T2^8 - 908*T1^5*T2^8 + 686*T1^6*T2^8 + 548*T1^7*T2^8 - 
     792*T1^8*T2^8 + 92*T1^9*T2^8 - 948*T1^10*T2^8 - 2312*T1^11*T2^8 + 
     1719*T1^12*T2^8 - 155*T1^13*T2^8 - 180*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 + 30*T1*T2^9 + 228*T1^2*T2^9 - 569*T1^3*T2^9 - 
     514*T1^4*T2^9 + 4036*T1^5*T2^9 - 1759*T1^6*T2^9 - 327*T1^7*T2^9 + 
     92*T1^8*T2^9 + 698*T1^9*T2^9 - 882*T1^10*T2^9 + 2870*T1^11*T2^9 - 
     1046*T1^12*T2^9 - 625*T1^13*T2^9 + 400*T1^14*T2^9 - 30*T1^15*T2^9 - 
     12*T1^16*T2^9 - 68*T1^2*T2^10 - 78*T1^3*T2^10 + 729*T1^4*T2^10 - 
     807*T1^5*T2^10 - 2481*T1^6*T2^10 + 3143*T1^7*T2^10 - 948*T1^8*T2^10 - 
     882*T1^9*T2^10 + 1832*T1^10*T2^10 - 2305*T1^11*T2^10 + 49*T1^12*T2^10 + 
     1131*T1^13*T2^10 - 371*T1^14*T2^10 - 42*T1^15*T2^10 + 34*T1^16*T2^10 + 
     81*T1^3*T2^11 - 114*T1^4*T2^11 - 426*T1^5*T2^11 + 1407*T1^6*T2^11 + 
     4*T1^7*T2^11 - 2312*T1^8*T2^11 + 2870*T1^9*T2^11 - 2305*T1^10*T2^11 + 
     1018*T1^11*T2^11 + 886*T1^12*T2^11 - 1221*T1^13*T2^11 + 
     168*T1^14*T2^11 + 138*T1^15*T2^11 - 54*T1^16*T2^11 - 62*T1^4*T2^12 + 
     210*T1^5*T2^12 - 59*T1^6*T2^12 - 970*T1^7*T2^12 + 1719*T1^8*T2^12 - 
     1046*T1^9*T2^12 + 49*T1^10*T2^12 + 886*T1^11*T2^12 - 1365*T1^12*T2^12 + 
     866*T1^13*T2^12 + 105*T1^14*T2^12 - 210*T1^15*T2^12 + 62*T1^16*T2^12 + 
     27*T1^5*T2^13 - 162*T1^6*T2^13 + 349*T1^7*T2^13 - 155*T1^8*T2^13 - 
     625*T1^9*T2^13 + 1131*T1^10*T2^13 - 1221*T1^11*T2^13 + 866*T1^12*T2^13 - 
     233*T1^13*T2^13 - 314*T1^14*T2^13 + 222*T1^15*T2^13 - 54*T1^16*T2^13 + 
     36*T1^7*T2^14 - 180*T1^8*T2^14 + 400*T1^9*T2^14 - 371*T1^10*T2^14 + 
     168*T1^11*T2^14 + 105*T1^12*T2^14 - 314*T1^13*T2^14 + 364*T1^14*T2^14 - 
     168*T1^15*T2^14 + 34*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 
     30*T1^9*T2^15 - 42*T1^10*T2^15 + 138*T1^11*T2^15 - 210*T1^12*T2^15 + 
     222*T1^13*T2^15 - 168*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 
     2*T1^8*T2^16 - 12*T1^9*T2^16 + 34*T1^10*T2^16 - 54*T1^11*T2^16 + 
     62*T1^12*T2^16 - 54*T1^13*T2^16 + 34*T1^14*T2^16 - 12*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 216] -> 
  {-(((1 - T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4), 
   -((-5 + 30*T1 - 85*T1^2 + 155*T1^3 - 185*T1^4 + 155*T1^5 - 85*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 522*T1^3*T2 + 
      366*T1^4*T2 - 42*T1^5*T2 - 234*T1^6*T2 + 228*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 632*T1^2*T2^2 + 493*T1^3*T2^2 + 
      453*T1^4*T2^2 - 1116*T1^5*T2^2 + 1133*T1^6*T2^2 - 357*T1^7*T2^2 - 
      88*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 155*T2^3 - 522*T1*T2^3 + 
      493*T1^2*T2^3 + 357*T1^3*T2^3 - 2090*T1^4*T2^3 + 1874*T1^5*T2^3 - 
      598*T1^6*T2^3 - 1193*T1^7*T2^3 + 987*T1^8*T2^3 - 374*T1^9*T2^3 - 
      66*T1^10*T2^3 + 62*T1^11*T2^3 - 185*T2^4 + 366*T1*T2^4 + 
      453*T1^2*T2^4 - 2090*T1^3*T2^4 + 3702*T1^4*T2^4 - 1040*T1^5*T2^4 - 
      1324*T1^6*T2^4 + 2700*T1^7*T2^4 - 270*T1^8*T2^4 - 726*T1^9*T2^4 + 
      737*T1^10*T2^4 - 150*T1^11*T2^4 - 37*T1^12*T2^4 + 155*T2^5 - 
      42*T1*T2^5 - 1116*T1^2*T2^5 + 1874*T1^3*T2^5 - 1040*T1^4*T2^5 - 
      4400*T1^5*T2^5 + 4843*T1^6*T2^5 - 2590*T1^7*T2^5 - 2782*T1^8*T2^5 + 
      2416*T1^9*T2^5 - 954*T1^10*T2^5 - 282*T1^11*T2^5 + 222*T1^12*T2^5 - 
      85*T2^6 - 234*T1*T2^6 + 1133*T1^2*T2^6 - 598*T1^3*T2^6 - 
      1324*T1^4*T2^6 + 4843*T1^5*T2^6 + 533*T1^6*T2^6 - 5621*T1^7*T2^6 + 
      8725*T1^8*T2^6 - 2985*T1^9*T2^6 - 486*T1^10*T2^6 + 1340*T1^11*T2^6 - 
      339*T1^12*T2^6 - 102*T1^13*T2^6 + 17*T1^14*T2^6 + 30*T2^7 + 
      228*T1*T2^7 - 357*T1^2*T2^7 - 1193*T1^3*T2^7 + 2700*T1^4*T2^7 - 
      2590*T1^5*T2^7 - 5621*T1^6*T2^7 + 8156*T1^7*T2^7 - 5388*T1^8*T2^7 - 
      2942*T1^9*T2^7 + 4053*T1^10*T2^7 - 1892*T1^11*T2^7 - 222*T1^12*T2^7 + 
      408*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 
      88*T1^2*T2^8 + 987*T1^3*T2^8 - 270*T1^4*T2^8 - 2782*T1^5*T2^8 + 
      8725*T1^6*T2^8 - 5388*T1^7*T2^8 - 1884*T1^8*T2^8 + 7560*T1^9*T2^8 - 
      4269*T1^10*T2^8 - 122*T1^11*T2^8 + 1450*T1^12*T2^8 - 603*T1^13*T2^8 - 
      92*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 24*T1*T2^9 + 
      162*T1^2*T2^9 - 374*T1^3*T2^9 - 726*T1^4*T2^9 + 2416*T1^5*T2^9 - 
      2985*T1^6*T2^9 - 2942*T1^7*T2^9 + 7560*T1^8*T2^9 - 5984*T1^9*T2^9 - 
      263*T1^10*T2^9 + 3658*T1^11*T2^9 - 2176*T1^12*T2^9 + 245*T1^13*T2^9 + 
      391*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 51*T1^2*T2^10 - 
      66*T1^3*T2^10 + 737*T1^4*T2^10 - 954*T1^5*T2^10 - 486*T1^6*T2^10 + 
      4053*T1^7*T2^10 - 4269*T1^8*T2^10 - 263*T1^9*T2^10 + 3923*T1^10*T2^10 - 
      3775*T1^11*T2^10 + 352*T1^12*T2^10 + 984*T1^13*T2^10 - 
      735*T1^14*T2^10 + 66*T1^15*T2^10 + 51*T1^16*T2^10 + 62*T1^3*T2^11 - 
      150*T1^4*T2^11 - 282*T1^5*T2^11 + 1340*T1^6*T2^11 - 1892*T1^7*T2^11 - 
      122*T1^8*T2^11 + 3658*T1^9*T2^11 - 3775*T1^10*T2^11 + 
      1496*T1^11*T2^11 + 1564*T1^12*T2^11 - 1488*T1^13*T2^11 + 
      552*T1^14*T2^11 + 114*T1^15*T2^11 - 93*T1^16*T2^11 - 37*T1^4*T2^12 + 
      222*T1^5*T2^12 - 339*T1^6*T2^12 - 222*T1^7*T2^12 + 1450*T1^8*T2^12 - 
      2176*T1^9*T2^12 + 352*T1^10*T2^12 + 1564*T1^11*T2^12 - 
      2522*T1^12*T2^12 + 1142*T1^13*T2^12 - 55*T1^14*T2^12 - 
      294*T1^15*T2^12 + 111*T1^16*T2^12 - 102*T1^6*T2^13 + 408*T1^7*T2^13 - 
      603*T1^8*T2^13 + 245*T1^9*T2^13 + 984*T1^10*T2^13 - 1488*T1^11*T2^13 + 
      1142*T1^12*T2^13 + 27*T1^13*T2^13 - 459*T1^14*T2^13 + 354*T1^15*T2^13 - 
      93*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 92*T1^8*T2^14 + 
      391*T1^9*T2^14 - 735*T1^10*T2^14 + 552*T1^11*T2^14 - 55*T1^12*T2^14 - 
      459*T1^13*T2^14 + 452*T1^14*T2^14 - 234*T1^15*T2^14 + 51*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 66*T1^10*T2^15 + 
      114*T1^11*T2^15 - 294*T1^12*T2^15 + 354*T1^13*T2^15 - 234*T1^14*T2^15 + 
      96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      51*T1^10*T2^16 - 93*T1^11*T2^16 + 111*T1^12*T2^16 - 93*T1^13*T2^16 + 
      51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 217] -> 
  {-((1 - 6*T + 16*T^2 - 29*T^3 + 35*T^4 - 29*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 48*T1^2 + 87*T1^3 - 105*T1^4 + 87*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 330*T1^3*T2 + 
      282*T1^4*T2 - 102*T1^5*T2 - 60*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 341*T1^3*T2^2 + 
      139*T1^4*T2^2 - 645*T1^5*T2^2 + 747*T1^6*T2^2 - 395*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 87*T2^3 - 330*T1*T2^3 + 
      341*T1^2*T2^3 - 47*T1^3*T2^3 - 943*T1^4*T2^3 + 1379*T1^5*T2^3 - 
      850*T1^6*T2^3 - 190*T1^7*T2^3 + 451*T1^8*T2^3 - 379*T1^9*T2^3 + 
      96*T1^10*T2^3 - 105*T2^4 + 282*T1*T2^4 + 139*T1^2*T2^4 - 
      943*T1^3*T2^4 + 2299*T1^4*T2^4 - 1975*T1^5*T2^4 + 227*T1^6*T2^4 + 
      1417*T1^7*T2^4 - 945*T1^8*T2^4 + 217*T1^9*T2^4 + 291*T1^10*T2^4 - 
      210*T1^11*T2^4 + 35*T1^12*T2^4 + 87*T2^5 - 102*T1*T2^5 - 
      645*T1^2*T2^5 + 1379*T1^3*T2^5 - 1975*T1^4*T2^5 + 175*T1^5*T2^5 + 
      2160*T1^6*T2^5 - 2376*T1^7*T2^5 - 425*T1^8*T2^5 + 1642*T1^9*T2^5 - 
      1248*T1^10*T2^5 + 351*T1^11*T2^5 + 138*T1^12*T2^5 - 58*T1^13*T2^5 - 
      48*T2^6 - 60*T1*T2^6 + 747*T1^2*T2^6 - 850*T1^3*T2^6 + 227*T1^4*T2^6 + 
      2160*T1^5*T2^6 - 3304*T1^6*T2^6 + 572*T1^7*T2^6 + 3408*T1^8*T2^6 - 
      2720*T1^9*T2^6 + 203*T1^10*T2^6 + 782*T1^11*T2^6 - 773*T1^12*T2^6 + 
      60*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 395*T1^2*T2^7 - 
      190*T1^3*T2^7 + 1417*T1^4*T2^7 - 2376*T1^5*T2^7 + 572*T1^6*T2^7 + 
      5145*T1^7*T2^7 - 7441*T1^8*T2^7 + 2903*T1^9*T2^7 + 1472*T1^10*T2^7 - 
      1300*T1^11*T2^7 + 685*T1^12*T2^7 + 421*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 451*T1^3*T2^8 - 
      945*T1^4*T2^8 - 425*T1^5*T2^8 + 3408*T1^6*T2^8 - 7441*T1^7*T2^8 + 
      3576*T1^8*T2^8 + 4157*T1^9*T2^8 - 6598*T1^10*T2^8 + 2437*T1^11*T2^8 - 
      637*T1^12*T2^8 - 787*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 379*T1^3*T2^9 + 
      217*T1^4*T2^9 + 1642*T1^5*T2^9 - 2720*T1^6*T2^9 + 2903*T1^7*T2^9 + 
      4157*T1^8*T2^9 - 8429*T1^9*T2^9 + 5234*T1^10*T2^9 + 1128*T1^11*T2^9 - 
      1075*T1^12*T2^9 + 1092*T1^13*T2^9 + 437*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 291*T1^4*T2^10 - 
      1248*T1^5*T2^10 + 203*T1^6*T2^10 + 1472*T1^7*T2^10 - 6598*T1^8*T2^10 + 
      5234*T1^9*T2^10 + 114*T1^10*T2^10 - 3408*T1^11*T2^10 + 
      179*T1^12*T2^10 + 384*T1^13*T2^10 - 1229*T1^14*T2^10 + 
      216*T1^15*T2^10 + 80*T1^16*T2^10 - 210*T1^4*T2^11 + 351*T1^5*T2^11 + 
      782*T1^6*T2^11 - 1300*T1^7*T2^11 + 2437*T1^8*T2^11 + 1128*T1^9*T2^11 - 
      3408*T1^10*T2^11 + 1837*T1^11*T2^11 + 2317*T1^12*T2^11 - 
      1845*T1^13*T2^11 + 1347*T1^14*T2^11 + 30*T1^15*T2^11 - 
      145*T1^16*T2^11 + 35*T1^4*T2^12 + 138*T1^5*T2^12 - 773*T1^6*T2^12 + 
      685*T1^7*T2^12 - 637*T1^8*T2^12 - 1075*T1^9*T2^12 + 179*T1^10*T2^12 + 
      2317*T1^11*T2^12 - 3881*T1^12*T2^12 + 1845*T1^13*T2^12 - 
      621*T1^14*T2^12 - 354*T1^15*T2^12 + 175*T1^16*T2^12 - 58*T1^5*T2^13 + 
      60*T1^6*T2^13 + 421*T1^7*T2^13 - 787*T1^8*T2^13 + 1092*T1^9*T2^13 + 
      384*T1^10*T2^13 - 1845*T1^11*T2^13 + 1845*T1^12*T2^13 - 
      289*T1^13*T2^13 - 299*T1^14*T2^13 + 486*T1^15*T2^13 - 145*T1^16*T2^13 + 
      48*T1^6*T2^14 - 144*T1^7*T2^14 - 17*T1^8*T2^14 + 437*T1^9*T2^14 - 
      1229*T1^10*T2^14 + 1347*T1^11*T2^14 - 621*T1^12*T2^14 - 
      299*T1^13*T2^14 + 463*T1^14*T2^14 - 336*T1^15*T2^14 + 80*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 216*T1^10*T2^15 + 
      30*T1^11*T2^15 - 354*T1^12*T2^15 + 486*T1^13*T2^15 - 336*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      80*T1^10*T2^16 - 145*T1^11*T2^16 + 175*T1^12*T2^16 - 145*T1^13*T2^16 + 
      80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 218] -> 
  {(1 - 10*T + 32*T^2 - 45*T^3 + 32*T^4 - 10*T^5 + T^6)/T^3, 
   (-2 + 20*T1 - 64*T1^2 + 90*T1^3 - 64*T1^4 + 20*T1^5 - 2*T1^6 + 20*T2 - 
     190*T1*T2 + 541*T1^2*T2 - 581*T1^3*T2 + 189*T1^4*T2 + 121*T1^5*T2 - 
     80*T1^6*T2 + 10*T1^7*T2 - 64*T2^2 + 541*T1*T2^2 - 1031*T1^2*T2^2 - 
     442*T1^3*T2^2 + 2653*T1^4*T2^2 - 2682*T1^5*T2^2 + 953*T1^6*T2^2 - 
     99*T1^7*T2^2 + 90*T2^3 - 581*T1*T2^3 - 442*T1^2*T2^3 + 6677*T1^3*T2^3 - 
     11440*T1^4*T2^3 + 7530*T1^5*T2^3 - 553*T1^6*T2^3 - 1242*T1^7*T2^3 + 
     449*T1^8*T2^3 - 45*T1^9*T2^3 - 64*T2^4 + 189*T1*T2^4 + 2653*T1^2*T2^4 - 
     11440*T1^3*T2^4 + 12262*T1^4*T2^4 + 3000*T1^5*T2^4 - 15270*T1^6*T2^4 + 
     10700*T1^7*T2^4 - 2251*T1^8*T2^4 - 191*T1^9*T2^4 + 64*T1^10*T2^4 + 
     20*T2^5 + 121*T1*T2^5 - 2682*T1^2*T2^5 + 7530*T1^3*T2^5 + 
     3000*T1^4*T2^5 - 31776*T1^5*T2^5 + 39334*T1^6*T2^5 - 14920*T1^7*T2^5 - 
     5100*T1^8*T2^5 + 3878*T1^9*T2^5 - 339*T1^10*T2^5 - 30*T1^11*T2^5 - 
     2*T2^6 - 80*T1*T2^6 + 953*T1^2*T2^6 - 553*T1^3*T2^6 - 15270*T1^4*T2^6 + 
     39334*T1^5*T2^6 - 22524*T1^6*T2^6 - 20006*T1^7*T2^6 + 30410*T1^8*T2^6 - 
     8503*T1^9*T2^6 - 807*T1^10*T2^6 + 260*T1^11*T2^6 + 4*T1^12*T2^6 + 
     10*T1*T2^7 - 99*T1^2*T2^7 - 1242*T1^3*T2^7 + 10700*T1^4*T2^7 - 
     14920*T1^5*T2^7 - 20006*T1^6*T2^7 + 51104*T1^7*T2^7 - 32840*T1^8*T2^7 - 
     1930*T1^9*T2^7 + 5318*T1^10*T2^7 - 559*T1^11*T2^7 - 40*T1^12*T2^7 + 
     449*T1^3*T2^8 - 2251*T1^4*T2^8 - 5100*T1^5*T2^8 + 30410*T1^6*T2^8 - 
     32840*T1^7*T2^8 + 2878*T1^8*T2^8 + 17040*T1^9*T2^8 - 7155*T1^10*T2^8 + 
     69*T1^11*T2^8 + 128*T1^12*T2^8 - 45*T1^3*T2^9 - 191*T1^4*T2^9 + 
     3878*T1^5*T2^9 - 8503*T1^6*T2^9 - 1930*T1^7*T2^9 + 17040*T1^8*T2^9 - 
     15733*T1^9*T2^9 + 3078*T1^10*T2^9 + 839*T1^11*T2^9 - 180*T1^12*T2^9 + 
     64*T1^4*T2^10 - 339*T1^5*T2^10 - 807*T1^6*T2^10 + 5318*T1^7*T2^10 - 
     7155*T1^8*T2^10 + 3078*T1^9*T2^10 + 1177*T1^10*T2^10 - 979*T1^11*T2^10 + 
     128*T1^12*T2^10 - 30*T1^5*T2^11 + 260*T1^6*T2^11 - 559*T1^7*T2^11 + 
     69*T1^8*T2^11 + 839*T1^9*T2^11 - 979*T1^10*T2^11 + 370*T1^11*T2^11 - 
     40*T1^12*T2^11 + 4*T1^6*T2^12 - 40*T1^7*T2^12 + 128*T1^8*T2^12 - 
     180*T1^9*T2^12 + 128*T1^10*T2^12 - 40*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 219] -> 
  {-((4 - 22*T + 35*T^2 - 22*T^3 + 4*T^4)/T^2), 
   -((-48 + 264*T1 - 424*T1^2 + 264*T1^3 - 48*T1^4 + 264*T2 - 1538*T1*T2 + 
      2814*T1^2*T2 - 2202*T1^3*T2 + 750*T1^4*T2 - 88*T1^5*T2 - 424*T2^2 + 
      2814*T1*T2^2 - 5495*T1^2*T2^2 + 2213*T1^3*T2^2 + 3185*T1^4*T2^2 - 
      3346*T1^5*T2^2 + 696*T1^6*T2^2 + 264*T2^3 - 2202*T1*T2^3 + 
      2213*T1^2*T2^3 + 12814*T1^3*T2^3 - 24212*T1^4*T2^3 + 12993*T1^5*T2^3 + 
      526*T1^6*T2^3 - 792*T1^7*T2^3 - 48*T2^4 + 750*T1*T2^4 + 
      3185*T1^2*T2^4 - 24212*T1^3*T2^4 + 25224*T1^4*T2^4 + 4388*T1^5*T2^4 - 
      15871*T1^6*T2^4 + 3214*T1^7*T2^4 + 208*T1^8*T2^4 - 88*T1*T2^5 - 
      3346*T1^2*T2^5 + 12993*T1^3*T2^5 + 4388*T1^4*T2^5 - 32638*T1^5*T2^5 + 
      23773*T1^6*T2^5 - 618*T1^7*T2^5 - 1144*T1^8*T2^5 + 696*T1^2*T2^6 + 
      526*T1^3*T2^6 - 15871*T1^4*T2^6 + 23773*T1^5*T2^6 - 7191*T1^6*T2^6 - 
      5634*T1^7*T2^6 + 1816*T1^8*T2^6 - 792*T1^3*T2^7 + 3214*T1^4*T2^7 - 
      618*T1^5*T2^7 - 5634*T1^6*T2^7 + 5502*T1^7*T2^7 - 1144*T1^8*T2^7 + 
      208*T1^4*T2^8 - 1144*T1^5*T2^8 + 1816*T1^6*T2^8 - 1144*T1^7*T2^8 + 
      208*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 220] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-41 + 205*T1 - 389*T1^2 + 471*T1^3 - 389*T1^4 + 205*T1^5 - 41*T1^6 + 
      205*T2 - 860*T1*T2 + 1120*T1^2*T2 - 790*T1^3*T2 + 50*T1^4*T2 + 
      540*T1^5*T2 - 620*T1^6*T2 + 165*T1^7*T2 - 389*T2^2 + 1120*T1*T2^2 + 
      181*T1^2*T2^2 - 2155*T1^3*T2^2 + 3523*T1^4*T2^2 - 3143*T1^5*T2^2 + 
      1473*T1^6*T2^2 + 360*T1^7*T2^2 - 237*T1^8*T2^2 + 471*T2^3 - 
      790*T1*T2^3 - 2155*T1^2*T2^3 + 3792*T1^3*T2^3 - 3304*T1^4*T2^3 + 
      674*T1^5*T2^3 + 1732*T1^6*T2^3 - 2497*T1^7*T2^3 + 210*T1^8*T2^3 + 
      195*T1^9*T2^3 - 389*T2^4 + 50*T1*T2^4 + 3523*T1^2*T2^4 - 
      3304*T1^3*T2^4 + 1066*T1^4*T2^4 + 1802*T1^5*T2^4 - 2330*T1^6*T2^4 + 
      1020*T1^7*T2^4 + 1811*T1^8*T2^4 - 550*T1^9*T2^4 - 85*T1^10*T2^4 + 
      205*T2^5 + 540*T1*T2^5 - 3143*T1^2*T2^5 + 674*T1^3*T2^5 + 
      1802*T1^4*T2^5 - 2575*T1^5*T2^5 + 449*T1^6*T2^5 + 1479*T1^7*T2^5 - 
      2612*T1^8*T2^5 - 217*T1^9*T2^5 + 400*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 620*T1*T2^6 + 1473*T1^2*T2^6 + 1732*T1^3*T2^6 - 
      2330*T1^4*T2^6 + 449*T1^5*T2^6 + 2220*T1^6*T2^6 - 2377*T1^7*T2^6 + 
      1200*T1^8*T2^6 + 1560*T1^9*T2^6 - 627*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 165*T1*T2^7 + 360*T1^2*T2^7 - 2497*T1^3*T2^7 + 
      1020*T1^4*T2^7 + 1479*T1^5*T2^7 - 2377*T1^6*T2^7 + 647*T1^7*T2^7 + 
      1156*T1^8*T2^7 - 2266*T1^9*T2^7 + 429*T1^10*T2^7 + 220*T1^11*T2^7 - 
      35*T1^12*T2^7 - 237*T1^2*T2^8 + 210*T1^3*T2^8 + 1811*T1^4*T2^8 - 
      2612*T1^5*T2^8 + 1200*T1^6*T2^8 + 1156*T1^7*T2^8 - 2196*T1^8*T2^8 + 
      1712*T1^9*T2^8 + 99*T1^10*T2^8 - 390*T1^11*T2^8 + 67*T1^12*T2^8 + 
      195*T1^3*T2^9 - 550*T1^4*T2^9 - 217*T1^5*T2^9 + 1560*T1^6*T2^9 - 
      2266*T1^7*T2^9 + 1712*T1^8*T2^9 - 500*T1^9*T2^9 - 559*T1^10*T2^9 + 
      450*T1^11*T2^9 - 81*T1^12*T2^9 - 85*T1^4*T2^10 + 400*T1^5*T2^10 - 
      627*T1^6*T2^10 + 429*T1^7*T2^10 + 99*T1^8*T2^10 - 559*T1^9*T2^10 + 
      665*T1^10*T2^10 - 360*T1^11*T2^10 + 67*T1^12*T2^10 + 5*T1^5*T2^11 - 
      60*T1^6*T2^11 + 220*T1^7*T2^11 - 390*T1^8*T2^11 + 450*T1^9*T2^11 - 
      360*T1^10*T2^11 + 180*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 
      35*T1^7*T2^12 + 67*T1^8*T2^12 - 81*T1^9*T2^12 + 67*T1^10*T2^12 - 
      35*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 221] -> 
  {-((1 - 5*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 30*T1^2 + 45*T1^3 - 51*T1^4 + 45*T1^5 - 30*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 100*T1^2*T2 - 125*T1^3*T2 + 
      105*T1^4*T2 - 55*T1^5*T2 + 25*T1^7*T2 - 35*T1^8*T2 + 10*T1^9*T2 - 
      30*T2^2 + 100*T1*T2^2 - 60*T1^2*T2^2 + 138*T1^4*T2^2 - 246*T1^5*T2^2 + 
      278*T1^6*T2^2 - 200*T1^7*T2^2 + 120*T1^8*T2^2 - 10*T1^10*T2^2 + 
      45*T2^3 - 125*T1*T2^3 + 75*T1^3*T2^3 - 222*T1^4*T2^3 + 262*T1^5*T2^3 - 
      213*T1^6*T2^3 + 38*T1^7*T2^3 + 45*T1^8*T2^3 - 150*T1^9*T2^3 + 
      50*T1^10*T2^3 - 51*T2^4 + 105*T1*T2^4 + 138*T1^2*T2^4 - 222*T1^3*T2^4 + 
      355*T1^4*T2^4 - 358*T1^5*T2^4 + 263*T1^6*T2^4 + 12*T1^7*T2^4 - 
      57*T1^8*T2^4 + 108*T1^9*T2^4 + 68*T1^10*T2^4 - 85*T1^11*T2^4 + 
      17*T1^12*T2^4 + 45*T2^5 - 55*T1*T2^5 - 246*T1^2*T2^5 + 262*T1^3*T2^5 - 
      358*T1^4*T2^5 + 426*T1^5*T2^5 - 347*T1^6*T2^5 + 103*T1^7*T2^5 - 
      234*T1^8*T2^5 + 197*T1^9*T2^5 - 263*T1^10*T2^5 + 129*T1^11*T2^5 + 
      65*T1^12*T2^5 - 30*T1^13*T2^5 - 30*T2^6 + 278*T1^2*T2^6 - 
      213*T1^3*T2^6 + 263*T1^4*T2^6 - 347*T1^5*T2^6 + 96*T1^6*T2^6 + 
      154*T1^7*T2^6 + 16*T1^8*T2^6 + 153*T1^9*T2^6 - 157*T1^10*T2^6 + 
      187*T1^11*T2^6 - 282*T1^12*T2^6 + 30*T1^14*T2^6 + 15*T2^7 + 
      25*T1*T2^7 - 200*T1^2*T2^7 + 38*T1^3*T2^7 + 12*T1^4*T2^7 + 
      103*T1^5*T2^7 + 154*T1^6*T2^7 + 28*T1^7*T2^7 - 422*T1^8*T2^7 + 
      279*T1^9*T2^7 - 247*T1^10*T2^7 + 197*T1^11*T2^7 + 58*T1^12*T2^7 + 
      250*T1^13*T2^7 - 50*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      120*T1^2*T2^8 + 45*T1^3*T2^8 - 57*T1^4*T2^8 - 234*T1^5*T2^8 + 
      16*T1^6*T2^8 - 422*T1^7*T2^8 + 444*T1^8*T2^8 + 38*T1^9*T2^8 - 
      254*T1^10*T2^8 + 246*T1^11*T2^8 - 421*T1^12*T2^8 - 125*T1^13*T2^8 - 
      150*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 - 
      150*T1^3*T2^9 + 108*T1^4*T2^9 + 197*T1^5*T2^9 + 153*T1^6*T2^9 + 
      279*T1^7*T2^9 + 38*T1^8*T2^9 - 412*T1^9*T2^9 + 404*T1^10*T2^9 - 
      197*T1^11*T2^9 + 382*T1^12*T2^9 + 128*T1^13*T2^9 + 300*T1^14*T2^9 - 
      75*T1^15*T2^9 - 25*T1^16*T2^9 - 10*T1^2*T2^10 + 50*T1^3*T2^10 + 
      68*T1^4*T2^10 - 263*T1^5*T2^10 - 157*T1^6*T2^10 - 247*T1^7*T2^10 - 
      254*T1^8*T2^10 + 404*T1^9*T2^10 - 334*T1^10*T2^10 + 253*T1^11*T2^10 - 
      577*T1^12*T2^10 + 137*T1^13*T2^10 - 492*T1^14*T2^10 + 50*T1^15*T2^10 + 
      50*T1^16*T2^10 - 85*T1^4*T2^11 + 129*T1^5*T2^11 + 187*T1^6*T2^11 + 
      197*T1^7*T2^11 + 246*T1^8*T2^11 - 197*T1^9*T2^11 + 253*T1^10*T2^11 - 
      414*T1^11*T2^11 + 752*T1^12*T2^11 - 338*T1^13*T2^11 + 504*T1^14*T2^11 + 
      35*T1^15*T2^11 - 75*T1^16*T2^11 + 17*T1^4*T2^12 + 65*T1^5*T2^12 - 
      282*T1^6*T2^12 + 58*T1^7*T2^12 - 421*T1^8*T2^12 + 382*T1^9*T2^12 - 
      577*T1^10*T2^12 + 752*T1^11*T2^12 - 833*T1^12*T2^12 + 388*T1^13*T2^12 - 
      352*T1^14*T2^12 - 125*T1^15*T2^12 + 85*T1^16*T2^12 - 30*T1^5*T2^13 + 
      250*T1^7*T2^13 - 125*T1^8*T2^13 + 128*T1^9*T2^13 + 137*T1^10*T2^13 - 
      338*T1^11*T2^13 + 388*T1^12*T2^13 - 155*T1^13*T2^13 + 100*T1^14*T2^13 + 
      175*T1^15*T2^13 - 75*T1^16*T2^13 + 30*T1^6*T2^14 - 50*T1^7*T2^14 - 
      150*T1^8*T2^14 + 300*T1^9*T2^14 - 492*T1^10*T2^14 + 504*T1^11*T2^14 - 
      352*T1^12*T2^14 + 100*T1^13*T2^14 + 30*T1^14*T2^14 - 150*T1^15*T2^14 + 
      50*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 75*T1^9*T2^15 + 
      50*T1^10*T2^15 + 35*T1^11*T2^15 - 125*T1^12*T2^15 + 175*T1^13*T2^15 - 
      150*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 
      25*T1^9*T2^16 + 50*T1^10*T2^16 - 75*T1^11*T2^16 + 85*T1^12*T2^16 - 
      75*T1^13*T2^16 + 50*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 222] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 127*T1 - 266*T1^2 + 335*T1^3 - 266*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1009*T1^2*T2 - 887*T1^3*T2 + 257*T1^4*T2 + 
      261*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 266*T2^2 + 1009*T1*T2^2 - 
      613*T1^2*T2^2 - 1022*T1^3*T2^2 + 2713*T1^4*T2^2 - 2678*T1^5*T2^2 + 
      1319*T1^6*T2^2 - 3*T1^7*T2^2 - 82*T1^8*T2^2 + 335*T2^3 - 887*T1*T2^3 - 
      1022*T1^2*T2^3 + 3887*T1^3*T2^3 - 4882*T1^4*T2^3 + 2358*T1^5*T2^3 + 
      679*T1^6*T2^3 - 1735*T1^7*T2^3 + 521*T1^8*T2^3 - 13*T1^9*T2^3 - 
      266*T2^4 + 257*T1*T2^4 + 2713*T1^2*T2^4 - 4882*T1^3*T2^4 + 
      2553*T1^4*T2^4 + 2775*T1^5*T2^4 - 5067*T1^6*T2^4 + 3180*T1^7*T2^4 - 
      73*T1^8*T2^4 - 491*T1^9*T2^4 + 102*T1^10*T2^4 + 127*T2^5 + 
      261*T1*T2^5 - 2678*T1^2*T2^5 + 2358*T1^3*T2^5 + 2775*T1^4*T2^5 - 
      6396*T1^5*T2^5 + 3912*T1^6*T2^5 + 1096*T1^7*T2^5 - 3238*T1^8*T2^5 + 
      1807*T1^9*T2^5 - 47*T1^10*T2^5 - 93*T1^11*T2^5 - 23*T2^6 - 
      332*T1*T2^6 + 1319*T1^2*T2^6 + 679*T1^3*T2^6 - 5067*T1^4*T2^6 + 
      3912*T1^5*T2^6 + 1536*T1^6*T2^6 - 5232*T1^7*T2^6 + 3667*T1^8*T2^6 - 
      523*T1^9*T2^6 - 1337*T1^10*T2^6 + 372*T1^11*T2^6 + 25*T1^12*T2^6 + 
      83*T1*T2^7 - 3*T1^2*T2^7 - 1735*T1^3*T2^7 + 3180*T1^4*T2^7 + 
      1096*T1^5*T2^7 - 5232*T1^6*T2^7 + 5076*T1^7*T2^7 - 583*T1^8*T2^7 - 
      2416*T1^9*T2^7 + 2750*T1^10*T2^7 - 311*T1^11*T2^7 - 137*T1^12*T2^7 - 
      82*T1^2*T2^8 + 521*T1^3*T2^8 - 73*T1^4*T2^8 - 3238*T1^5*T2^8 + 
      3667*T1^6*T2^8 - 583*T1^7*T2^8 - 3953*T1^8*T2^8 + 4824*T1^9*T2^8 - 
      2859*T1^10*T2^8 - 227*T1^11*T2^8 + 286*T1^12*T2^8 - 13*T1^3*T2^9 - 
      491*T1^4*T2^9 + 1807*T1^5*T2^9 - 523*T1^6*T2^9 - 2416*T1^7*T2^9 + 
      4824*T1^8*T2^9 - 3731*T1^9*T2^9 + 1094*T1^10*T2^9 + 917*T1^11*T2^9 - 
      361*T1^12*T2^9 + 102*T1^4*T2^10 - 47*T1^5*T2^10 - 1337*T1^6*T2^10 + 
      2750*T1^7*T2^10 - 2859*T1^8*T2^10 + 1094*T1^9*T2^10 + 595*T1^10*T2^10 - 
      1059*T1^11*T2^10 + 286*T1^12*T2^10 - 93*T1^5*T2^11 + 372*T1^6*T2^11 - 
      311*T1^7*T2^11 - 227*T1^8*T2^11 + 917*T1^9*T2^11 - 1059*T1^10*T2^11 + 
      658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 137*T1^7*T2^12 + 
      286*T1^8*T2^12 - 361*T1^9*T2^12 + 286*T1^10*T2^12 - 137*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 223] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 35*T1 - 70*T1^2 + 98*T1^3 - 105*T1^4 + 98*T1^5 - 70*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 200*T1^2*T2 - 190*T1^3*T2 + 
      105*T1^4*T2 - 40*T1^5*T2 - 70*T1^6*T2 + 125*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 70*T2^2 + 200*T1*T2^2 - 4*T1^2*T2^2 - 264*T1^3*T2^2 + 
      540*T1^4*T2^2 - 560*T1^5*T2^2 + 640*T1^6*T2^2 - 444*T1^7*T2^2 + 
      176*T1^8*T2^2 + 100*T1^9*T2^2 - 50*T1^10*T2^2 + 98*T2^3 - 190*T1*T2^3 - 
      264*T1^2*T2^3 + 448*T1^3*T2^3 - 522*T1^4*T2^3 + 200*T1^5*T2^3 - 
      242*T1^6*T2^3 - 162*T1^7*T2^3 + 328*T1^8*T2^3 - 384*T1^9*T2^3 - 
      30*T1^10*T2^3 + 56*T1^11*T2^3 - 105*T2^4 + 105*T1*T2^4 + 
      540*T1^2*T2^4 - 522*T1^3*T2^4 + 574*T1^4*T2^4 - 255*T1^5*T2^4 + 
      580*T1^6*T2^4 - 95*T1^7*T2^4 + 154*T1^8*T2^4 - 102*T1^9*T2^4 + 
      440*T1^10*T2^4 - 55*T1^11*T2^4 - 45*T1^12*T2^4 + 98*T2^5 - 40*T1*T2^5 - 
      560*T1^2*T2^5 + 200*T1^3*T2^5 - 255*T1^4*T2^5 - 29*T1^5*T2^5 - 
      455*T1^6*T2^5 - 165*T1^7*T2^5 - 119*T1^8*T2^5 - 30*T1^9*T2^5 - 
      230*T1^10*T2^5 - 275*T1^11*T2^5 + 85*T1^12*T2^5 + 28*T1^13*T2^5 - 
      70*T2^6 - 70*T1*T2^6 + 640*T1^2*T2^6 - 242*T1^3*T2^6 + 580*T1^4*T2^6 - 
      455*T1^5*T2^6 + 913*T1^6*T2^6 - 99*T1^7*T2^6 + 433*T1^8*T2^6 - 
      75*T1^9*T2^6 + 260*T1^10*T2^6 + 218*T1^11*T2^6 + 140*T1^12*T2^6 - 
      90*T1^13*T2^6 - 10*T1^14*T2^6 + 35*T2^7 + 125*T1*T2^7 - 444*T1^2*T2^7 - 
      162*T1^3*T2^7 - 95*T1^4*T2^7 - 165*T1^5*T2^7 - 99*T1^6*T2^7 - 
      563*T1^7*T2^7 - 113*T1^8*T2^7 - 59*T1^9*T2^7 - 275*T1^10*T2^7 - 
      60*T1^11*T2^7 - 282*T1^12*T2^7 + 36*T1^13*T2^7 + 50*T1^14*T2^7 - 
      7*T2^8 - 115*T1*T2^8 + 176*T1^2*T2^8 + 328*T1^3*T2^8 + 154*T1^4*T2^8 - 
      119*T1^5*T2^8 + 433*T1^6*T2^8 - 113*T1^7*T2^8 + 804*T1^8*T2^8 - 
      443*T1^9*T2^8 + 485*T1^10*T2^8 - 53*T1^11*T2^8 + 214*T1^12*T2^8 + 
      108*T1^13*T2^8 - 94*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 
      30*T1*T2^9 + 100*T1^2*T2^9 - 384*T1^3*T2^9 - 102*T1^4*T2^9 - 
      30*T1^5*T2^9 - 75*T1^6*T2^9 - 59*T1^7*T2^9 - 443*T1^8*T2^9 + 
      7*T1^9*T2^9 - 19*T1^10*T2^9 - 185*T1^11*T2^9 + 5*T1^12*T2^9 - 
      222*T1^13*T2^9 + 96*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 
      50*T1^2*T2^10 - 30*T1^3*T2^10 + 440*T1^4*T2^10 - 230*T1^5*T2^10 + 
      260*T1^6*T2^10 - 275*T1^7*T2^10 + 485*T1^8*T2^10 - 19*T1^9*T2^10 + 
      5*T1^10*T2^10 + 105*T1^11*T2^10 - 60*T1^12*T2^10 + 230*T1^13*T2^10 - 
      60*T1^14*T2^10 - 50*T1^15*T2^10 + 10*T1^16*T2^10 + 56*T1^3*T2^11 - 
      55*T1^4*T2^11 - 275*T1^5*T2^11 + 218*T1^6*T2^11 - 60*T1^7*T2^11 - 
      53*T1^8*T2^11 - 185*T1^9*T2^11 + 105*T1^10*T2^11 - 143*T1^11*T2^11 + 
      165*T1^12*T2^11 - 212*T1^13*T2^11 + 10*T1^14*T2^11 + 70*T1^15*T2^11 - 
      14*T1^16*T2^11 - 45*T1^4*T2^12 + 85*T1^5*T2^12 + 140*T1^6*T2^12 - 
      282*T1^7*T2^12 + 214*T1^8*T2^12 + 5*T1^9*T2^12 - 60*T1^10*T2^12 + 
      165*T1^11*T2^12 - 206*T1^12*T2^12 + 138*T1^13*T2^12 + 40*T1^14*T2^12 - 
      75*T1^15*T2^12 + 15*T1^16*T2^12 + 28*T1^5*T2^13 - 90*T1^6*T2^13 + 
      36*T1^7*T2^13 + 108*T1^8*T2^13 - 222*T1^9*T2^13 + 230*T1^10*T2^13 - 
      212*T1^11*T2^13 + 138*T1^12*T2^13 - 12*T1^13*T2^13 - 84*T1^14*T2^13 + 
      70*T1^15*T2^13 - 14*T1^16*T2^13 - 10*T1^6*T2^14 + 50*T1^7*T2^14 - 
      94*T1^8*T2^14 + 96*T1^9*T2^14 - 60*T1^10*T2^14 + 10*T1^11*T2^14 + 
      40*T1^12*T2^14 - 84*T1^13*T2^14 + 86*T1^14*T2^14 - 50*T1^15*T2^14 + 
      10*T1^16*T2^14 - 5*T1^8*T2^15 + 25*T1^9*T2^15 - 50*T1^10*T2^15 + 
      70*T1^11*T2^15 - 75*T1^12*T2^15 + 70*T1^13*T2^15 - 50*T1^14*T2^15 + 
      25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      10*T1^10*T2^16 - 14*T1^11*T2^16 + 15*T1^12*T2^16 - 14*T1^13*T2^16 + 
      10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 224] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 205*T1 - 409*T1^2 + 511*T1^3 - 409*T1^4 + 205*T1^5 - 41*T1^6 + 
      205*T2 - 860*T1*T2 + 1220*T1^2*T2 - 910*T1^3*T2 - 10*T1^4*T2 + 
      620*T1^5*T2 - 620*T1^6*T2 + 165*T1^7*T2 - 409*T2^2 + 1220*T1*T2^2 - 
      215*T1^2*T2^2 - 1879*T1^3*T2^2 + 3713*T1^4*T2^2 - 3079*T1^5*T2^2 + 
      1225*T1^6*T2^2 + 420*T1^7*T2^2 - 249*T1^8*T2^2 + 511*T2^3 - 
      910*T1*T2^3 - 1879*T1^2*T2^3 + 4110*T1^3*T2^3 - 4088*T1^4*T2^3 + 
      412*T1^5*T2^3 + 2160*T1^6*T2^3 - 2479*T1^7*T2^3 + 190*T1^8*T2^3 + 
      211*T1^9*T2^3 - 409*T2^4 - 10*T1*T2^4 + 3713*T1^2*T2^4 - 
      4088*T1^3*T2^4 + 1572*T1^4*T2^4 + 2996*T1^5*T2^4 - 3048*T1^6*T2^4 + 
      912*T1^7*T2^4 + 1913*T1^8*T2^4 - 610*T1^9*T2^4 - 89*T1^10*T2^4 + 
      205*T2^5 + 620*T1*T2^5 - 3079*T1^2*T2^5 + 412*T1^3*T2^5 + 
      2996*T1^4*T2^5 - 4832*T1^5*T2^5 + 868*T1^6*T2^5 + 2196*T1^7*T2^5 - 
      3088*T1^8*T2^5 - 79*T1^9*T2^5 + 420*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 620*T1*T2^6 + 1225*T1^2*T2^6 + 2160*T1^3*T2^6 - 
      3048*T1^4*T2^6 + 868*T1^5*T2^6 + 3924*T1^6*T2^6 - 4172*T1^7*T2^6 + 
      1832*T1^8*T2^6 + 1560*T1^9*T2^6 - 695*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 165*T1*T2^7 + 420*T1^2*T2^7 - 2479*T1^3*T2^7 + 
      912*T1^4*T2^7 + 2196*T1^5*T2^7 - 4172*T1^6*T2^7 + 1528*T1^7*T2^7 + 
      1396*T1^8*T2^7 - 2588*T1^9*T2^7 + 521*T1^10*T2^7 + 220*T1^11*T2^7 - 
      35*T1^12*T2^7 - 249*T1^2*T2^8 + 190*T1^3*T2^8 + 1913*T1^4*T2^8 - 
      3088*T1^5*T2^8 + 1832*T1^6*T2^8 + 1396*T1^7*T2^8 - 2788*T1^8*T2^8 + 
      1912*T1^9*T2^8 + 113*T1^10*T2^8 - 410*T1^11*T2^8 + 71*T1^12*T2^8 + 
      211*T1^3*T2^9 - 610*T1^4*T2^9 - 79*T1^5*T2^9 + 1560*T1^6*T2^9 - 
      2588*T1^7*T2^9 + 1912*T1^8*T2^9 - 390*T1^9*T2^9 - 679*T1^10*T2^9 + 
      490*T1^11*T2^9 - 89*T1^12*T2^9 - 89*T1^4*T2^10 + 420*T1^5*T2^10 - 
      695*T1^6*T2^10 + 521*T1^7*T2^10 + 113*T1^8*T2^10 - 679*T1^9*T2^10 + 
      745*T1^10*T2^10 - 380*T1^11*T2^10 + 71*T1^12*T2^10 + 5*T1^5*T2^11 - 
      60*T1^6*T2^11 + 220*T1^7*T2^11 - 410*T1^8*T2^11 + 490*T1^9*T2^11 - 
      380*T1^10*T2^11 + 180*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 
      35*T1^7*T2^12 + 71*T1^8*T2^12 - 89*T1^9*T2^12 + 71*T1^10*T2^12 - 
      35*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 225] -> 
  {-((2 - 8*T + 11*T^2 - 11*T^3 + 11*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-9 + 37*T1 - 51*T1^2 + 51*T1^3 - 51*T1^4 + 37*T1^5 - 9*T1^6 + 37*T2 - 
      148*T1*T2 + 186*T1^2*T2 - 176*T1^3*T2 + 176*T1^4*T2 - 118*T1^5*T2 + 
      12*T1^6*T2 + 5*T1^7*T2 - 51*T2^2 + 186*T1*T2^2 - 132*T1^2*T2^2 - 
      2*T1^3*T2^2 + 42*T1^4*T2^2 - 134*T1^5*T2^2 + 264*T1^6*T2^2 - 
      166*T1^7*T2^2 + 37*T1^8*T2^2 + 51*T2^3 - 176*T1*T2^3 - 2*T1^2*T2^3 + 
      312*T1^3*T2^3 - 312*T1^4*T2^3 + 370*T1^5*T2^3 - 502*T1^6*T2^3 + 
      152*T1^7*T2^3 + 176*T1^8*T2^3 - 81*T1^9*T2^3 - 51*T2^4 + 176*T1*T2^4 + 
      42*T1^2*T2^4 - 312*T1^3*T2^4 + 52*T1^4*T2^4 - 162*T1^5*T2^4 + 
      316*T1^6*T2^4 + 304*T1^7*T2^4 - 398*T1^8*T2^4 - 176*T1^9*T2^4 + 
      125*T1^10*T2^4 + 37*T2^5 - 118*T1*T2^5 - 134*T1^2*T2^5 + 
      370*T1^3*T2^5 - 162*T1^4*T2^5 + 719*T1^5*T2^5 - 835*T1^6*T2^5 + 
      91*T1^7*T2^5 - 444*T1^8*T2^5 + 856*T1^9*T2^5 - 6*T1^10*T2^5 - 
      123*T1^11*T2^5 - 9*T2^6 + 12*T1*T2^6 + 264*T1^2*T2^6 - 502*T1^3*T2^6 + 
      316*T1^4*T2^6 - 835*T1^5*T2^6 + 324*T1^6*T2^6 + 551*T1^7*T2^6 - 
      58*T1^8*T2^6 + 114*T1^9*T2^6 - 1036*T1^10*T2^6 + 332*T1^11*T2^6 + 
      39*T1^12*T2^6 + 5*T1*T2^7 - 166*T1^2*T2^7 + 152*T1^3*T2^7 + 
      304*T1^4*T2^7 + 91*T1^5*T2^7 + 551*T1^6*T2^7 - 1003*T1^7*T2^7 + 
      344*T1^8*T2^7 - 510*T1^9*T2^7 + 1142*T1^10*T2^7 - 54*T1^11*T2^7 - 
      155*T1^12*T2^7 + 37*T1^2*T2^8 + 176*T1^3*T2^8 - 398*T1^4*T2^8 - 
      444*T1^5*T2^8 - 58*T1^6*T2^8 + 344*T1^7*T2^8 + 206*T1^8*T2^8 + 
      172*T1^9*T2^8 - 838*T1^10*T2^8 - 176*T1^11*T2^8 + 213*T1^12*T2^8 - 
      81*T1^3*T2^9 - 176*T1^4*T2^9 + 856*T1^5*T2^9 + 114*T1^6*T2^9 - 
      510*T1^7*T2^9 + 172*T1^8*T2^9 - 700*T1^9*T2^9 + 1010*T1^10*T2^9 + 
      176*T1^11*T2^9 - 213*T1^12*T2^9 + 125*T1^4*T2^10 - 6*T1^5*T2^10 - 
      1036*T1^6*T2^10 + 1142*T1^7*T2^10 - 838*T1^8*T2^10 + 1010*T1^9*T2^10 - 
      640*T1^10*T2^10 - 358*T1^11*T2^10 + 213*T1^12*T2^10 - 123*T1^5*T2^11 + 
      332*T1^6*T2^11 - 54*T1^7*T2^11 - 176*T1^8*T2^11 + 176*T1^9*T2^11 - 
      358*T1^10*T2^11 + 492*T1^11*T2^11 - 155*T1^12*T2^11 + 39*T1^6*T2^12 - 
      155*T1^7*T2^12 + 213*T1^8*T2^12 - 213*T1^9*T2^12 + 213*T1^10*T2^12 - 
      155*T1^11*T2^12 + 39*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 226] -> {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-64 + 300*T1 - 456*T1^2 + 300*T1^3 - 64*T1^4 + 300*T2 - 1398*T1*T2 + 
      2028*T1^2*T2 - 1212*T1^3*T2 + 186*T1^4*T2 + 12*T1^5*T2 - 456*T2^2 + 
      2028*T1*T2^2 - 1995*T1^2*T2^2 - 1009*T1^3*T2^2 + 2973*T1^4*T2^2 - 
      1860*T1^5*T2^2 + 408*T1^6*T2^2 + 300*T2^3 - 1212*T1*T2^3 - 
      1009*T1^2*T2^3 + 7662*T1^3*T2^3 - 9456*T1^4*T2^3 + 3851*T1^5*T2^3 + 
      732*T1^6*T2^3 - 564*T1^7*T2^3 - 64*T2^4 + 186*T1*T2^4 + 
      2973*T1^2*T2^4 - 9456*T1^3*T2^4 + 6156*T1^4*T2^4 + 4296*T1^5*T2^4 - 
      6963*T1^6*T2^4 + 1626*T1^7*T2^4 + 192*T1^8*T2^4 + 12*T1*T2^5 - 
      1860*T1^2*T2^5 + 3851*T1^3*T2^5 + 4296*T1^4*T2^5 - 12822*T1^5*T2^5 + 
      8711*T1^6*T2^5 + 84*T1^7*T2^5 - 852*T1^8*T2^5 + 408*T1^2*T2^6 + 
      732*T1^3*T2^6 - 6963*T1^4*T2^6 + 8711*T1^5*T2^6 - 1995*T1^6*T2^6 - 
      3156*T1^7*T2^6 + 1272*T1^8*T2^6 - 564*T1^3*T2^7 + 1626*T1^4*T2^7 + 
      84*T1^5*T2^7 - 3156*T1^6*T2^7 + 3210*T1^7*T2^7 - 852*T1^8*T2^7 + 
      192*T1^4*T2^8 - 852*T1^5*T2^8 + 1272*T1^6*T2^8 - 852*T1^7*T2^8 + 
      192*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 227] -> 
  {(5 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 5*T^6)/T^3, 
   -((770 - 2580*T1 + 4668*T1^2 - 5554*T1^3 + 4668*T1^4 - 2580*T1^5 + 
      770*T1^6 - 2580*T2 + 6529*T1*T2 - 8518*T1^2*T2 + 5648*T1^3*T2 - 
      132*T1^4*T2 - 4438*T1^5*T2 + 4659*T1^6*T2 - 2155*T1^7*T2 + 4668*T2^2 - 
      8518*T1*T2^2 + 7196*T1^2*T2^2 + 134*T1^3*T2^2 - 5748*T1^4*T2^2 + 
      6334*T1^5*T2^2 - 864*T1^6*T2^2 - 3248*T1^7*T2^2 + 3118*T1^8*T2^2 - 
      5554*T2^3 + 5648*T1*T2^3 + 134*T1^2*T2^3 - 8062*T1^3*T2^3 + 
      7459*T1^4*T2^3 - 1737*T1^5*T2^3 - 6076*T1^6*T2^3 + 5745*T1^7*T2^3 - 
      1152*T1^8*T2^3 - 2779*T1^9*T2^3 + 4668*T2^4 - 132*T1*T2^4 - 
      5748*T1^2*T2^4 + 7459*T1^3*T2^4 + 1447*T1^4*T2^4 - 8221*T1^5*T2^4 + 
      10487*T1^6*T2^4 - 2309*T1^7*T2^4 - 3582*T1^8*T2^4 + 4118*T1^9*T2^4 + 
      1568*T1^10*T2^4 - 2580*T2^5 - 4438*T1*T2^5 + 6334*T1^2*T2^5 - 
      1737*T1^3*T2^5 - 8221*T1^4*T2^5 + 8239*T1^5*T2^5 - 3219*T1^6*T2^5 - 
      6392*T1^7*T2^5 + 6315*T1^8*T2^5 - 1633*T1^9*T2^5 - 3758*T1^10*T2^5 - 
      455*T1^11*T2^5 + 770*T2^6 + 4659*T1*T2^6 - 864*T1^2*T2^6 - 
      6076*T1^3*T2^6 + 10487*T1^4*T2^6 - 3219*T1^5*T2^6 - 3600*T1^6*T2^6 + 
      7715*T1^7*T2^6 - 1363*T1^8*T2^6 - 3688*T1^9*T2^6 + 4528*T1^10*T2^6 + 
      1429*T1^11*T2^6 + 20*T1^12*T2^6 - 2155*T1*T2^7 - 3248*T1^2*T2^7 + 
      5745*T1^3*T2^7 - 2309*T1^4*T2^7 - 6392*T1^5*T2^7 + 7715*T1^6*T2^7 - 
      3743*T1^7*T2^7 - 4563*T1^8*T2^7 + 5743*T1^9*T2^7 - 2222*T1^10*T2^7 - 
      2568*T1^11*T2^7 - 30*T1^12*T2^7 + 3118*T1^2*T2^8 - 1152*T1^3*T2^8 - 
      3582*T1^4*T2^8 + 6315*T1^5*T2^8 - 1363*T1^6*T2^8 - 4563*T1^7*T2^8 + 
      7677*T1^8*T2^8 - 3453*T1^9*T2^8 - 1416*T1^10*T2^8 + 3098*T1^11*T2^8 + 
      18*T1^12*T2^8 - 2779*T1^3*T2^9 + 4118*T1^4*T2^9 - 1633*T1^5*T2^9 - 
      3688*T1^6*T2^9 + 5743*T1^7*T2^9 - 3453*T1^8*T2^9 - 1702*T1^9*T2^9 + 
      3978*T1^10*T2^9 - 2682*T1^11*T2^9 - 4*T1^12*T2^9 + 1568*T1^4*T2^10 - 
      3758*T1^5*T2^10 + 4528*T1^6*T2^10 - 2222*T1^7*T2^10 - 1416*T1^8*T2^10 + 
      3978*T1^9*T2^10 - 3532*T1^10*T2^10 + 1512*T1^11*T2^10 + 
      18*T1^12*T2^10 - 455*T1^5*T2^11 + 1429*T1^6*T2^11 - 2568*T1^7*T2^11 + 
      3098*T1^8*T2^11 - 2682*T1^9*T2^11 + 1512*T1^10*T2^11 - 
      441*T1^11*T2^11 - 30*T1^12*T2^11 + 20*T1^6*T2^12 - 30*T1^7*T2^12 + 
      18*T1^8*T2^12 - 4*T1^9*T2^12 + 18*T1^10*T2^12 - 30*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 228] -> 
  {-((1 - 10*T + 32*T^2 - 47*T^3 + 32*T^4 - 10*T^5 + T^6)/T^3), 
   -((-3 + 30*T1 - 96*T1^2 + 141*T1^3 - 96*T1^4 + 30*T1^5 - 3*T1^6 + 30*T2 - 
      280*T1*T2 + 759*T1^2*T2 - 769*T1^3*T2 + 21*T1^4*T2 + 339*T1^5*T2 - 
      170*T1^6*T2 + 20*T1^7*T2 - 96*T2^2 + 759*T1*T2^2 - 1087*T1^2*T2^2 - 
      1592*T1^3*T2^2 + 5317*T1^4*T2^2 - 3960*T1^5*T2^2 + 897*T1^6*T2^2 + 
      119*T1^7*T2^2 - 32*T1^8*T2^2 + 141*T2^3 - 769*T1*T2^3 - 
      1592*T1^2*T2^3 + 10605*T1^3*T2^3 - 15237*T1^4*T2^3 + 4121*T1^5*T2^3 + 
      3933*T1^6*T2^3 - 2584*T1^7*T2^3 + 321*T1^8*T2^3 - 96*T2^4 + 
      21*T1*T2^4 + 5317*T1^2*T2^4 - 15237*T1^3*T2^4 + 8638*T1^4*T2^4 + 
      17746*T1^5*T2^4 - 22174*T1^6*T2^4 + 7887*T1^7*T2^4 + 13*T1^8*T2^4 - 
      319*T1^9*T2^4 + 32*T1^10*T2^4 + 30*T2^5 + 339*T1*T2^5 - 
      3960*T1^2*T2^5 + 4121*T1^3*T2^5 + 17746*T1^4*T2^5 - 46206*T1^5*T2^5 + 
      32840*T1^6*T2^5 - 942*T1^7*T2^5 - 7705*T1^8*T2^5 + 2536*T1^9*T2^5 - 
      121*T1^10*T2^5 - 20*T1^11*T2^5 - 3*T2^6 - 170*T1*T2^6 + 897*T1^2*T2^6 + 
      3933*T1^3*T2^6 - 22174*T1^4*T2^6 + 32840*T1^5*T2^6 - 3372*T1^6*T2^6 - 
      30596*T1^7*T2^6 + 22706*T1^8*T2^6 - 4029*T1^9*T2^6 - 863*T1^10*T2^6 + 
      170*T1^11*T2^6 + 3*T1^12*T2^6 + 20*T1*T2^7 + 119*T1^2*T2^7 - 
      2584*T1^3*T2^7 + 7887*T1^4*T2^7 - 942*T1^5*T2^7 - 30596*T1^6*T2^7 + 
      48450*T1^7*T2^7 - 19630*T1^8*T2^7 - 3939*T1^9*T2^7 + 3912*T1^10*T2^7 - 
      341*T1^11*T2^7 - 30*T1^12*T2^7 - 32*T1^2*T2^8 + 321*T1^3*T2^8 + 
      13*T1^4*T2^8 - 7705*T1^5*T2^8 + 22706*T1^6*T2^8 - 19630*T1^7*T2^8 - 
      8106*T1^8*T2^8 + 15419*T1^9*T2^8 - 5291*T1^10*T2^8 - 19*T1^11*T2^8 + 
      96*T1^12*T2^8 - 319*T1^4*T2^9 + 2536*T1^5*T2^9 - 4029*T1^6*T2^9 - 
      3939*T1^7*T2^9 + 15419*T1^8*T2^9 - 10701*T1^9*T2^9 + 1544*T1^10*T2^9 + 
      771*T1^11*T2^9 - 141*T1^12*T2^9 + 32*T1^4*T2^10 - 121*T1^5*T2^10 - 
      863*T1^6*T2^10 + 3912*T1^7*T2^10 - 5291*T1^8*T2^10 + 1544*T1^9*T2^10 + 
      1121*T1^10*T2^10 - 761*T1^11*T2^10 + 96*T1^12*T2^10 - 20*T1^5*T2^11 + 
      170*T1^6*T2^11 - 341*T1^7*T2^11 - 19*T1^8*T2^11 + 771*T1^9*T2^11 - 
      761*T1^10*T2^11 + 280*T1^11*T2^11 - 30*T1^12*T2^11 + 3*T1^6*T2^12 - 
      30*T1^7*T2^12 + 96*T1^8*T2^12 - 141*T1^9*T2^12 + 96*T1^10*T2^12 - 
      30*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 229] -> {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-208 + 940*T1 - 1408*T1^2 + 940*T1^3 - 208*T1^4 + 940*T2 - 3598*T1*T2 + 
      3412*T1^2*T2 + 172*T1^3*T2 - 2014*T1^4*T2 + 652*T1^5*T2 - 1408*T2^2 + 
      3412*T1*T2^2 + 3255*T1^2*T2^2 - 11113*T1^3*T2^2 + 8223*T1^4*T2^2 - 
      476*T1^5*T2^2 - 544*T1^6*T2^2 + 940*T2^3 + 172*T1*T2^3 - 
      11113*T1^2*T2^3 + 14498*T1^3*T2^3 - 2620*T1^4*T2^3 - 6253*T1^5*T2^3 + 
      2116*T1^6*T2^3 + 76*T1^7*T2^3 - 208*T2^4 - 2014*T1*T2^4 + 
      8223*T1^2*T2^4 - 2620*T1^3*T2^4 - 10248*T1^4*T2^4 + 11132*T1^5*T2^4 - 
      1713*T1^6*T2^4 - 574*T1^7*T2^4 + 48*T1^8*T2^4 + 652*T1*T2^5 - 
      476*T1^2*T2^5 - 6253*T1^3*T2^5 + 11132*T1^4*T2^5 - 5986*T1^5*T2^5 - 
      1393*T1^6*T2^5 + 1468*T1^7*T2^5 - 212*T1^8*T2^5 - 544*T1^2*T2^6 + 
      2116*T1^3*T2^6 - 1713*T1^4*T2^6 - 1393*T1^5*T2^6 + 3255*T1^6*T2^6 - 
      1772*T1^7*T2^6 + 320*T1^8*T2^6 + 76*T1^3*T2^7 - 574*T1^4*T2^7 + 
      1468*T1^5*T2^7 - 1772*T1^6*T2^7 + 1010*T1^7*T2^7 - 212*T1^8*T2^7 + 
      48*T1^4*T2^8 - 212*T1^5*T2^8 + 320*T1^6*T2^8 - 212*T1^7*T2^8 + 
      48*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 230] -> {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-90 + 392*T1 - 572*T1^2 + 392*T1^3 - 90*T1^4 + 392*T2 - 1433*T1*T2 + 
      1291*T1^2*T2 + 43*T1^3*T2 - 809*T1^4*T2 + 275*T1^5*T2 - 572*T2^2 + 
      1291*T1*T2^2 + 1347*T1^2*T2^2 - 4101*T1^3*T2^2 + 3171*T1^4*T2^2 - 
      191*T1^5*T2^2 - 230*T1^6*T2^2 + 392*T2^3 + 43*T1*T2^3 - 
      4101*T1^2*T2^3 + 5046*T1^3*T2^3 - 986*T1^4*T2^3 - 2372*T1^5*T2^3 + 
      823*T1^6*T2^3 + 41*T1^7*T2^3 - 90*T2^4 - 809*T1*T2^4 + 3171*T1^2*T2^4 - 
      986*T1^3*T2^4 - 3444*T1^4*T2^4 + 3954*T1^5*T2^4 - 539*T1^6*T2^4 - 
      263*T1^7*T2^4 + 18*T1^8*T2^4 + 275*T1*T2^5 - 191*T1^2*T2^5 - 
      2372*T1^3*T2^5 + 3954*T1^4*T2^5 - 2078*T1^5*T2^5 - 643*T1^6*T2^5 + 
      589*T1^7*T2^5 - 76*T1^8*T2^5 - 230*T1^2*T2^6 + 823*T1^3*T2^6 - 
      539*T1^4*T2^6 - 643*T1^5*T2^6 + 1285*T1^6*T2^6 - 659*T1^7*T2^6 + 
      112*T1^8*T2^6 + 41*T1^3*T2^7 - 263*T1^4*T2^7 + 589*T1^5*T2^7 - 
      659*T1^6*T2^7 + 361*T1^7*T2^7 - 76*T1^8*T2^7 + 18*T1^4*T2^8 - 
      76*T1^5*T2^8 + 112*T1^6*T2^8 - 76*T1^7*T2^8 + 18*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 231] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-3 + 12*T1 - 21*T1^2 + 27*T1^3 - 21*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
       41*T1*T2 + 56*T1^2*T2 - 59*T1^3*T2 + 21*T1^4*T2 + T1^5*T2 - 
       16*T1^6*T2 + 7*T1^7*T2 - 21*T2^2 + 56*T1*T2^2 - 37*T1^2*T2^2 + 
       5*T1^3*T2^2 + 85*T1^4*T2^2 - 90*T1^5*T2^2 + 77*T1^6*T2^2 - 
       20*T1^7*T2^2 - 2*T1^8*T2^2 + 27*T2^3 - 59*T1*T2^3 + 5*T1^2*T2^3 + 
       39*T1^3*T2^3 - 152*T1^4*T2^3 + 108*T1^5*T2^3 - 52*T1^6*T2^3 - 
       42*T1^7*T2^3 + 44*T1^8*T2^3 - 9*T1^9*T2^3 - 21*T2^4 + 21*T1*T2^4 + 
       85*T1^2*T2^4 - 152*T1^3*T2^4 + 257*T1^4*T2^4 - 118*T1^5*T2^4 - 
       16*T1^6*T2^4 + 109*T1^7*T2^4 - 52*T1^8*T2^4 - 28*T1^9*T2^4 + 
       16*T1^10*T2^4 + 12*T2^5 + T1*T2^5 - 90*T1^2*T2^5 + 108*T1^3*T2^5 - 
       118*T1^4*T2^5 - 55*T1^5*T2^5 + 133*T1^6*T2^5 - 68*T1^7*T2^5 - 
       35*T1^8*T2^5 + 92*T1^9*T2^5 - 4*T1^10*T2^5 - 15*T1^11*T2^5 - 3*T2^6 - 
       16*T1*T2^6 + 77*T1^2*T2^6 - 52*T1^3*T2^6 - 16*T1^4*T2^6 + 
       133*T1^5*T2^6 - 156*T1^6*T2^6 - T1^7*T2^6 + 4*T1^8*T2^6 - 
       12*T1^9*T2^6 - 93*T1^10*T2^6 + 40*T1^11*T2^6 + 5*T1^12*T2^6 + 
       7*T1*T2^7 - 20*T1^2*T2^7 - 42*T1^3*T2^7 + 109*T1^4*T2^7 - 
       68*T1^5*T2^7 - T1^6*T2^7 + 187*T1^7*T2^7 - 18*T1^8*T2^7 - 
       34*T1^9*T2^7 + 140*T1^10*T2^7 - 25*T1^11*T2^7 - 20*T1^12*T2^7 - 
       2*T1^2*T2^8 + 44*T1^3*T2^8 - 52*T1^4*T2^8 - 35*T1^5*T2^8 + 
       4*T1^6*T2^8 - 18*T1^7*T2^8 - 269*T1^8*T2^8 + 226*T1^9*T2^8 - 
       189*T1^10*T2^8 - 5*T1^11*T2^8 + 35*T1^12*T2^8 - 9*T1^3*T2^9 - 
       28*T1^4*T2^9 + 92*T1^5*T2^9 - 12*T1^6*T2^9 - 34*T1^7*T2^9 + 
       226*T1^8*T2^9 - 103*T1^9*T2^9 + 45*T1^10*T2^9 + 75*T1^11*T2^9 - 
       45*T1^12*T2^9 + 16*T1^4*T2^10 - 4*T1^5*T2^10 - 93*T1^6*T2^10 + 
       140*T1^7*T2^10 - 189*T1^8*T2^10 + 45*T1^9*T2^10 + 21*T1^10*T2^10 - 
       80*T1^11*T2^10 + 35*T1^12*T2^10 - 15*T1^5*T2^11 + 40*T1^6*T2^11 - 
       25*T1^7*T2^11 - 5*T1^8*T2^11 + 75*T1^9*T2^11 - 80*T1^10*T2^11 + 
       65*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 20*T1^7*T2^12 + 
       35*T1^8*T2^12 - 45*T1^9*T2^12 + 35*T1^10*T2^12 - 20*T1^11*T2^12 + 
       5*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 232] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 9*T^2 - 13*T^3 + 9*T^4 - 4*T^5 + T^6))/T^4), 
   -((-3 + 15*T1 - 42*T1^2 + 78*T1^3 - 93*T1^4 + 78*T1^5 - 42*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 160*T1^2*T2 - 250*T1^3*T2 + 
      205*T1^4*T2 - 80*T1^5*T2 - 50*T1^6*T2 + 65*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 42*T2^2 + 160*T1*T2^2 - 354*T1^2*T2^2 + 472*T1^3*T2^2 - 
      220*T1^4*T2^2 - 62*T1^5*T2^2 + 256*T1^6*T2^2 - 116*T1^7*T2^2 + 
      10*T1^8*T2^2 + 20*T1^9*T2^2 - 14*T1^10*T2^2 + 78*T2^3 - 250*T1*T2^3 + 
      472*T1^2*T2^3 - 456*T1^3*T2^3 - 188*T1^4*T2^3 + 448*T1^5*T2^3 - 
      422*T1^6*T2^3 - 196*T1^7*T2^3 + 320*T1^8*T2^3 - 200*T1^9*T2^3 + 
      70*T1^10*T2^3 - 93*T2^4 + 205*T1*T2^4 - 220*T1^2*T2^4 - 188*T1^3*T2^4 + 
      1146*T1^4*T2^4 - 729*T1^5*T2^4 + 6*T1^6*T2^4 + 1087*T1^7*T2^4 - 
      594*T1^8*T2^4 - 32*T1^9*T2^4 + 216*T1^10*T2^4 - 155*T1^11*T2^4 + 
      31*T1^12*T2^4 + 78*T2^5 - 80*T1*T2^5 - 62*T1^2*T2^5 + 448*T1^3*T2^5 - 
      729*T1^4*T2^5 - 1161*T1^5*T2^5 + 2213*T1^6*T2^5 - 2405*T1^7*T2^5 + 
      169*T1^8*T2^5 + 880*T1^9*T2^5 - 498*T1^10*T2^5 + 79*T1^11*T2^5 + 
      105*T1^12*T2^5 - 52*T1^13*T2^5 - 42*T2^6 - 50*T1*T2^6 + 256*T1^2*T2^6 - 
      422*T1^3*T2^6 + 6*T1^4*T2^6 + 2213*T1^5*T2^6 - 1883*T1^6*T2^6 - 
      57*T1^7*T2^6 + 3045*T1^8*T2^6 - 2599*T1^9*T2^6 + 374*T1^10*T2^6 + 
      334*T1^11*T2^6 - 300*T1^12*T2^6 + 50*T1^13*T2^6 + 42*T1^14*T2^6 + 
      15*T2^7 + 65*T1*T2^7 - 116*T1^2*T2^7 - 196*T1^3*T2^7 + 1087*T1^4*T2^7 - 
      2405*T1^5*T2^7 - 57*T1^6*T2^7 + 3693*T1^7*T2^7 - 5009*T1^8*T2^7 + 
      1831*T1^9*T2^7 + 1825*T1^10*T2^7 - 1350*T1^11*T2^7 + 468*T1^12*T2^7 + 
      52*T1^13*T2^7 - 110*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      10*T1^2*T2^8 + 320*T1^3*T2^8 - 594*T1^4*T2^8 + 169*T1^5*T2^8 + 
      3045*T1^6*T2^8 - 5009*T1^7*T2^8 + 1572*T1^8*T2^8 + 3421*T1^9*T2^8 - 
      5615*T1^10*T2^8 + 1803*T1^11*T2^8 - 30*T1^12*T2^8 - 356*T1^13*T2^8 + 
      156*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      20*T1^2*T2^9 - 200*T1^3*T2^9 - 32*T1^4*T2^9 + 880*T1^5*T2^9 - 
      2599*T1^6*T2^9 + 1831*T1^7*T2^9 + 3421*T1^8*T2^9 - 5281*T1^9*T2^9 + 
      3719*T1^10*T2^9 + 1631*T1^11*T2^9 - 1557*T1^12*T2^9 + 632*T1^13*T2^9 - 
      32*T1^14*T2^9 - 155*T1^15*T2^9 - 25*T1^16*T2^9 - 14*T1^2*T2^10 + 
      70*T1^3*T2^10 + 216*T1^4*T2^10 - 498*T1^5*T2^10 + 374*T1^6*T2^10 + 
      1825*T1^7*T2^10 - 5615*T1^8*T2^10 + 3719*T1^9*T2^10 - 687*T1^10*T2^10 - 
      2987*T1^11*T2^10 + 742*T1^12*T2^10 + 258*T1^13*T2^10 - 
      340*T1^14*T2^10 + 170*T1^15*T2^10 + 70*T1^16*T2^10 - 155*T1^4*T2^11 + 
      79*T1^5*T2^11 + 334*T1^6*T2^11 - 1350*T1^7*T2^11 + 1803*T1^8*T2^11 + 
      1631*T1^9*T2^11 - 2987*T1^10*T2^11 + 3133*T1^11*T2^11 + 
      259*T1^12*T2^11 - 612*T1^13*T2^11 + 220*T1^14*T2^11 + 30*T1^15*T2^11 - 
      130*T1^16*T2^11 + 31*T1^4*T2^12 + 105*T1^5*T2^12 - 300*T1^6*T2^12 + 
      468*T1^7*T2^12 - 30*T1^8*T2^12 - 1557*T1^9*T2^12 + 742*T1^10*T2^12 + 
      259*T1^11*T2^12 - 1770*T1^12*T2^12 + 624*T1^13*T2^12 + 
      136*T1^14*T2^12 - 255*T1^15*T2^12 + 155*T1^16*T2^12 - 52*T1^5*T2^13 + 
      50*T1^6*T2^13 + 52*T1^7*T2^13 - 356*T1^8*T2^13 + 632*T1^9*T2^13 + 
      258*T1^10*T2^13 - 612*T1^11*T2^13 + 624*T1^12*T2^13 + 420*T1^13*T2^13 - 
      620*T1^14*T2^13 + 370*T1^15*T2^13 - 130*T1^16*T2^13 + 42*T1^6*T2^14 - 
      110*T1^7*T2^14 + 156*T1^8*T2^14 - 32*T1^9*T2^14 - 340*T1^10*T2^14 + 
      220*T1^11*T2^14 + 136*T1^12*T2^14 - 620*T1^13*T2^14 + 520*T1^14*T2^14 - 
      250*T1^15*T2^14 + 70*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 
      155*T1^9*T2^15 + 170*T1^10*T2^15 + 30*T1^11*T2^15 - 255*T1^12*T2^15 + 
      370*T1^13*T2^15 - 250*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 
      5*T1^8*T2^16 - 25*T1^9*T2^16 + 70*T1^10*T2^16 - 130*T1^11*T2^16 + 
      155*T1^12*T2^16 - 130*T1^13*T2^16 + 70*T1^14*T2^16 - 25*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 233] -> 
  {(1 - 6*T + 19*T^2 - 37*T^3 + 47*T^4 - 37*T^5 + 19*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 76*T1^2 + 148*T1^3 - 188*T1^4 + 148*T1^5 - 76*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 348*T1^2*T2 - 546*T1^3*T2 + 
     462*T1^4*T2 - 42*T1^5*T2 - 210*T1^6*T2 + 198*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 76*T2^2 + 348*T1*T2^2 - 836*T1^2*T2^2 + 996*T1^3*T2^2 - 
     316*T1^4*T2^2 - 836*T1^5*T2^2 + 748*T1^6*T2^2 - 182*T1^7*T2^2 - 
     152*T1^8*T2^2 + 120*T1^9*T2^2 - 38*T1^10*T2^2 + 148*T2^3 - 546*T1*T2^3 + 
     996*T1^2*T2^3 - 331*T1^3*T2^3 - 1551*T1^4*T2^3 + 2852*T1^5*T2^3 - 
     508*T1^6*T2^3 - 1050*T1^7*T2^3 + 1037*T1^8*T2^3 - 315*T1^9*T2^3 + 
     6*T1^10*T2^3 + 37*T1^11*T2^3 - 188*T2^4 + 462*T1*T2^4 - 316*T1^2*T2^4 - 
     1551*T1^3*T2^4 + 3352*T1^4*T2^4 - 1822*T1^5*T2^4 - 4706*T1^6*T2^4 + 
     4782*T1^7*T2^4 - 1764*T1^8*T2^4 - 515*T1^9*T2^4 + 592*T1^10*T2^4 - 
     222*T1^11*T2^4 + 148*T2^5 - 42*T1*T2^5 - 836*T1^2*T2^5 + 
     2852*T1^3*T2^5 - 1822*T1^4*T2^5 - 4358*T1^5*T2^5 + 11861*T1^6*T2^5 - 
     4440*T1^7*T2^5 - 2798*T1^8*T2^5 + 4056*T1^9*T2^5 - 1456*T1^10*T2^5 + 
     22*T1^11*T2^5 + 222*T1^12*T2^5 - 37*T1^13*T2^5 - 76*T2^6 - 210*T1*T2^6 + 
     748*T1^2*T2^6 - 508*T1^3*T2^6 - 4706*T1^4*T2^6 + 11861*T1^5*T2^6 - 
     11733*T1^6*T2^6 - 6383*T1^7*T2^6 + 12799*T1^8*T2^6 - 6875*T1^9*T2^6 - 
     56*T1^10*T2^6 + 1430*T1^11*T2^6 - 628*T1^12*T2^6 - 6*T1^13*T2^6 + 
     38*T1^14*T2^6 + 24*T2^7 + 198*T1*T2^7 - 182*T1^2*T2^7 - 1050*T1^3*T2^7 + 
     4782*T1^4*T2^7 - 4440*T1^5*T2^7 - 6383*T1^6*T2^7 + 24370*T1^7*T2^7 - 
     17558*T1^8*T2^7 + 86*T1^9*T2^7 + 6991*T1^10*T2^7 - 4000*T1^11*T2^7 + 
     589*T1^12*T2^7 + 331*T1^13*T2^7 - 120*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 152*T1^2*T2^8 + 1037*T1^3*T2^8 - 1764*T1^4*T2^8 - 
     2798*T1^5*T2^8 + 12799*T1^6*T2^8 - 17558*T1^7*T2^8 - 1092*T1^8*T2^8 + 
     18182*T1^9*T2^8 - 13495*T1^10*T2^8 + 2914*T1^11*T2^8 + 1628*T1^12*T2^8 - 
     1081*T1^13*T2^8 + 148*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 120*T1^2*T2^9 - 315*T1^3*T2^9 - 515*T1^4*T2^9 + 
     4056*T1^5*T2^9 - 6875*T1^6*T2^9 + 86*T1^7*T2^9 + 18182*T1^8*T2^9 - 
     23746*T1^9*T2^9 + 6555*T1^10*T2^9 + 4556*T1^11*T2^9 - 4726*T1^12*T2^9 + 
     1124*T1^13*T2^9 + 198*T1^14*T2^9 - 198*T1^15*T2^9 - 24*T1^16*T2^9 - 
     38*T1^2*T2^10 + 6*T1^3*T2^10 + 592*T1^4*T2^10 - 1456*T1^5*T2^10 - 
     56*T1^6*T2^10 + 6991*T1^7*T2^10 - 13495*T1^8*T2^10 + 6555*T1^9*T2^10 + 
     11037*T1^10*T2^10 - 11745*T1^11*T2^10 + 4594*T1^12*T2^10 + 
     482*T1^13*T2^10 - 784*T1^14*T2^10 + 210*T1^15*T2^10 + 76*T1^16*T2^10 + 
     37*T1^3*T2^11 - 222*T1^4*T2^11 + 22*T1^5*T2^11 + 1430*T1^6*T2^11 - 
     4000*T1^7*T2^11 + 2914*T1^8*T2^11 + 4556*T1^9*T2^11 - 
     11745*T1^10*T2^11 + 4474*T1^11*T2^11 + 1878*T1^12*T2^11 - 
     2878*T1^13*T2^11 + 880*T1^14*T2^11 + 42*T1^15*T2^11 - 148*T1^16*T2^11 + 
     222*T1^5*T2^12 - 628*T1^6*T2^12 + 589*T1^7*T2^12 + 1628*T1^8*T2^12 - 
     4726*T1^9*T2^12 + 4594*T1^10*T2^12 + 1878*T1^11*T2^12 - 
     3488*T1^12*T2^12 + 1625*T1^13*T2^12 + 280*T1^14*T2^12 - 
     462*T1^15*T2^12 + 188*T1^16*T2^12 - 37*T1^5*T2^13 - 6*T1^6*T2^13 + 
     331*T1^7*T2^13 - 1081*T1^8*T2^13 + 1124*T1^9*T2^13 + 482*T1^10*T2^13 - 
     2878*T1^11*T2^13 + 1625*T1^12*T2^13 + 287*T1^13*T2^13 - 
     980*T1^14*T2^13 + 546*T1^15*T2^13 - 148*T1^16*T2^13 + 38*T1^6*T2^14 - 
     120*T1^7*T2^14 + 148*T1^8*T2^14 + 198*T1^9*T2^14 - 784*T1^10*T2^14 + 
     880*T1^11*T2^14 + 280*T1^12*T2^14 - 980*T1^13*T2^14 + 832*T1^14*T2^14 - 
     348*T1^15*T2^14 + 76*T1^16*T2^14 - 18*T1^7*T2^15 + 84*T1^8*T2^15 - 
     198*T1^9*T2^15 + 210*T1^10*T2^15 + 42*T1^11*T2^15 - 462*T1^12*T2^15 + 
     546*T1^13*T2^15 - 348*T1^14*T2^15 + 126*T1^15*T2^15 - 24*T1^16*T2^15 + 
     4*T1^8*T2^16 - 24*T1^9*T2^16 + 76*T1^10*T2^16 - 148*T1^11*T2^16 + 
     188*T1^12*T2^16 - 148*T1^13*T2^16 + 76*T1^14*T2^16 - 24*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 234] -> 
  {(2 - 4*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 5*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 161*T1^2 - 161*T1^3 + 161*T1^4 - 161*T1^5 + 161*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 96*T1^2*T2 + 40*T1^3*T2 - 
      40*T1^4*T2 + 40*T1^5*T2 - 40*T1^6*T2 - 24*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 161*T2^2 - 96*T1*T2^2 + 64*T1^2*T2^2 - 64*T1^3*T2^2 + 
      120*T1^4*T2^2 - 120*T1^5*T2^2 + 120*T1^6*T2^2 - 44*T1^7*T2^2 + 
      4*T1^8*T2^2 - 16*T1^9*T2^2 + 121*T1^10*T2^2 - 161*T2^3 + 40*T1*T2^3 - 
      64*T1^2*T2^3 + 64*T1^3*T2^3 - 92*T1^4*T2^3 + 50*T1^5*T2^3 - 
      50*T1^6*T2^3 - 22*T1^7*T2^3 + 34*T1^8*T2^3 - 34*T1^9*T2^3 - 
      40*T1^10*T2^3 - 101*T1^11*T2^3 + 161*T2^4 - 40*T1*T2^4 + 
      120*T1^2*T2^4 - 92*T1^3*T2^4 + 116*T1^4*T2^4 - 84*T1^5*T2^4 + 
      110*T1^6*T2^4 - 44*T1^7*T2^4 + 36*T1^8*T2^4 - 12*T1^9*T2^4 + 
      80*T1^10*T2^4 + 40*T1^11*T2^4 + 81*T1^12*T2^4 - 161*T2^5 + 40*T1*T2^5 - 
      120*T1^2*T2^5 + 50*T1^3*T2^5 - 84*T1^4*T2^5 + 59*T1^5*T2^5 - 
      87*T1^6*T2^5 + 13*T1^7*T2^5 - T1^8*T2^5 - 29*T1^9*T2^5 - 
      50*T1^10*T2^5 - 60*T1^11*T2^5 - 40*T1^12*T2^5 - 61*T1^13*T2^5 + 
      161*T2^6 - 40*T1*T2^6 + 120*T1^2*T2^6 - 50*T1^3*T2^6 + 110*T1^4*T2^6 - 
      87*T1^5*T2^6 + 96*T1^6*T2^6 - 8*T1^7*T2^6 - 4*T1^8*T2^6 + 
      23*T1^9*T2^6 + 60*T1^10*T2^6 + 50*T1^11*T2^6 + 40*T1^12*T2^6 + 
      40*T1^13*T2^6 + 41*T1^14*T2^6 - 129*T2^7 - 24*T1*T2^7 - 44*T1^2*T2^7 - 
      22*T1^3*T2^7 - 44*T1^4*T2^7 + 13*T1^5*T2^7 - 8*T1^6*T2^7 - 
      48*T1^7*T2^7 + 16*T1^8*T2^7 - 3*T1^9*T2^7 - 67*T1^10*T2^7 - 
      39*T1^11*T2^7 - 52*T1^12*T2^7 - 14*T1^13*T2^7 - 48*T1^14*T2^7 - 
      17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 + 4*T1^2*T2^8 + 34*T1^3*T2^8 + 
      36*T1^4*T2^8 - T1^5*T2^8 - 4*T1^6*T2^8 + 16*T1^7*T2^8 + 36*T1^8*T2^8 - 
      44*T1^9*T2^8 + 66*T1^10*T2^8 + 29*T1^11*T2^8 + 56*T1^12*T2^8 + 
      14*T1^13*T2^8 + 28*T1^14*T2^8 + 32*T1^15*T2^8 + T1^16*T2^8 - 
      113*T1*T2^9 - 16*T1^2*T2^9 - 34*T1^3*T2^9 - 12*T1^4*T2^9 - 
      29*T1^5*T2^9 + 23*T1^6*T2^9 - 3*T1^7*T2^9 - 44*T1^8*T2^9 + 
      20*T1^9*T2^9 + 2*T1^10*T2^9 - 57*T1^11*T2^9 - 24*T1^12*T2^9 - 
      42*T1^13*T2^9 - 4*T1^14*T2^9 - 40*T1^15*T2^9 - T1^16*T2^9 + 
      121*T1^2*T2^10 - 40*T1^3*T2^10 + 80*T1^4*T2^10 - 50*T1^5*T2^10 + 
      60*T1^6*T2^10 - 67*T1^7*T2^10 + 66*T1^8*T2^10 + 2*T1^9*T2^10 - 
      34*T1^10*T2^10 + 43*T1^11*T2^10 + 10*T1^12*T2^10 + 50*T1^13*T2^10 + 
      40*T1^15*T2^10 + T1^16*T2^10 - 101*T1^3*T2^11 + 40*T1^4*T2^11 - 
      60*T1^5*T2^11 + 50*T1^6*T2^11 - 39*T1^7*T2^11 + 29*T1^8*T2^11 - 
      57*T1^9*T2^11 + 43*T1^10*T2^11 - 31*T1^11*T2^11 + 16*T1^12*T2^11 - 
      50*T1^13*T2^11 - 40*T1^15*T2^11 - T1^16*T2^11 + 81*T1^4*T2^12 - 
      40*T1^5*T2^12 + 40*T1^6*T2^12 - 52*T1^7*T2^12 + 56*T1^8*T2^12 - 
      24*T1^9*T2^12 + 10*T1^10*T2^12 + 16*T1^11*T2^12 - 24*T1^12*T2^12 + 
      28*T1^13*T2^12 + 40*T1^15*T2^12 + T1^16*T2^12 - 61*T1^5*T2^13 + 
      40*T1^6*T2^13 - 14*T1^7*T2^13 + 14*T1^8*T2^13 - 42*T1^9*T2^13 + 
      50*T1^10*T2^13 - 50*T1^11*T2^13 + 28*T1^12*T2^13 - 16*T1^13*T2^13 + 
      16*T1^14*T2^13 - 40*T1^15*T2^13 - T1^16*T2^13 + 41*T1^6*T2^14 - 
      48*T1^7*T2^14 + 28*T1^8*T2^14 - 4*T1^9*T2^14 + 16*T1^13*T2^14 - 
      32*T1^14*T2^14 + 32*T1^15*T2^14 + T1^16*T2^14 - 17*T1^7*T2^15 + 
      32*T1^8*T2^15 - 40*T1^9*T2^15 + 40*T1^10*T2^15 - 40*T1^11*T2^15 + 
      40*T1^12*T2^15 - 40*T1^13*T2^15 + 32*T1^14*T2^15 - 16*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^10*T2^16 - T1^11*T2^16 + 
      T1^12*T2^16 - T1^13*T2^16 + T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 235] -> 
  {(4 - 10*T + 14*T^2 - 15*T^3 + 14*T^4 - 10*T^5 + 4*T^6)/T^3, 
   -((400 - 988*T1 + 1376*T1^2 - 1472*T1^3 + 1376*T1^4 - 988*T1^5 + 
      400*T1^6 - 988*T2 + 1622*T1*T2 - 1368*T1^2*T2 + 800*T1^3*T2 - 
      360*T1^4*T2 - 408*T1^5*T2 + 1062*T1^6*T2 - 828*T1^7*T2 + 1376*T2^2 - 
      1368*T1*T2^2 + 537*T1^2*T2^2 - 127*T1^3*T2^2 + 149*T1^4*T2^2 + 
      433*T1^5*T2^2 - 583*T1^6*T2^2 - 248*T1^7*T2^2 + 928*T1^8*T2^2 - 
      1472*T2^3 + 800*T1*T2^3 - 127*T1^2*T2^3 + 250*T1^3*T2^3 - 
      470*T1^4*T2^3 - 210*T1^5*T2^3 + 190*T1^6*T2^3 + 433*T1^7*T2^3 - 
      440*T1^8*T2^3 - 752*T1^9*T2^3 + 1376*T2^4 - 360*T1*T2^4 + 
      149*T1^2*T2^4 - 470*T1^3*T2^4 + 475*T1^4*T2^4 + 351*T1^5*T2^4 - 
      265*T1^6*T2^4 - 110*T1^7*T2^4 + 13*T1^8*T2^4 + 680*T1^9*T2^4 + 
      480*T1^10*T2^4 - 988*T2^5 - 408*T1*T2^5 + 433*T1^2*T2^5 - 
      210*T1^3*T2^5 + 351*T1^4*T2^5 - 870*T1^5*T2^5 + 320*T1^6*T2^5 + 
      211*T1^7*T2^5 - 270*T1^8*T2^5 - 127*T1^9*T2^5 - 728*T1^10*T2^5 - 
      188*T1^11*T2^5 + 400*T2^6 + 1062*T1*T2^6 - 583*T1^2*T2^6 + 
      190*T1^3*T2^6 - 265*T1^4*T2^6 + 320*T1^5*T2^6 + 492*T1^6*T2^6 - 
      760*T1^7*T2^6 + 471*T1^8*T2^6 - 50*T1^9*T2^6 + 505*T1^10*T2^6 + 
      422*T1^11*T2^6 + 16*T1^12*T2^6 - 828*T1*T2^7 - 248*T1^2*T2^7 + 
      433*T1^3*T2^7 - 110*T1^4*T2^7 + 211*T1^5*T2^7 - 760*T1^6*T2^7 + 
      430*T1^7*T2^7 + 71*T1^8*T2^7 - 170*T1^9*T2^7 - 127*T1^10*T2^7 - 
      568*T1^11*T2^7 - 28*T1^12*T2^7 + 928*T1^2*T2^8 - 440*T1^3*T2^8 + 
      13*T1^4*T2^8 - 270*T1^5*T2^8 + 471*T1^6*T2^8 + 71*T1^7*T2^8 - 
      269*T1^8*T2^8 + 90*T1^9*T2^8 - 123*T1^10*T2^8 + 600*T1^11*T2^8 + 
      32*T1^12*T2^8 - 752*T1^3*T2^9 + 680*T1^4*T2^9 - 127*T1^5*T2^9 - 
      50*T1^6*T2^9 - 170*T1^7*T2^9 + 90*T1^8*T2^9 - 110*T1^9*T2^9 + 
      433*T1^10*T2^9 - 560*T1^11*T2^9 - 32*T1^12*T2^9 + 480*T1^4*T2^10 - 
      728*T1^5*T2^10 + 505*T1^6*T2^10 - 127*T1^7*T2^10 - 123*T1^8*T2^10 + 
      433*T1^9*T2^10 - 615*T1^10*T2^10 + 392*T1^11*T2^10 + 32*T1^12*T2^10 - 
      188*T1^5*T2^11 + 422*T1^6*T2^11 - 568*T1^7*T2^11 + 600*T1^8*T2^11 - 
      560*T1^9*T2^11 + 392*T1^10*T2^11 - 138*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 32*T1^8*T2^12 - 32*T1^9*T2^12 + 
      32*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 236] -> 
  {((1 - T + T^2)*(4 - 8*T + 9*T^2 - 8*T^3 + 4*T^4))/T^3, 
   -((400 - 1184*T1 + 2060*T1^2 - 2448*T1^3 + 2060*T1^4 - 1184*T1^5 + 
      400*T1^6 - 1184*T2 + 2528*T1*T2 - 3192*T1^2*T2 + 2168*T1^3*T2 - 
      40*T1^4*T2 - 1608*T1^5*T2 + 1760*T1^6*T2 - 992*T1^7*T2 + 2060*T2^2 - 
      3192*T1*T2^2 + 3228*T1^2*T2^2 - 1320*T1^3*T2^2 - 616*T1^4*T2^2 + 
      864*T1^5*T2^2 + 372*T1^6*T2^2 - 1176*T1^7*T2^2 + 1388*T1^8*T2^2 - 
      2448*T2^3 + 2168*T1*T2^3 - 1320*T1^2*T2^3 - 872*T1^3*T2^3 + 
      1488*T1^4*T2^3 - 204*T1^5*T2^3 - 1256*T1^6*T2^3 + 948*T1^7*T2^3 - 
      424*T1^8*T2^3 - 1248*T1^9*T2^3 + 2060*T2^4 - 40*T1*T2^4 - 
      616*T1^2*T2^4 + 1488*T1^3*T2^4 + 140*T1^4*T2^4 - 2092*T1^5*T2^4 + 
      2228*T1^6*T2^4 - 312*T1^7*T2^4 - 472*T1^8*T2^4 + 1592*T1^9*T2^4 + 
      716*T1^10*T2^4 - 1184*T2^5 - 1608*T1*T2^5 + 864*T1^2*T2^5 - 
      204*T1^3*T2^5 - 2092*T1^4*T2^5 + 2473*T1^5*T2^5 - 569*T1^6*T2^5 - 
      1651*T1^7*T2^5 + 1272*T1^8*T2^5 - 1068*T1^9*T2^5 - 1464*T1^10*T2^5 - 
      224*T1^11*T2^5 + 400*T2^6 + 1760*T1*T2^6 + 372*T1^2*T2^6 - 
      1256*T1^3*T2^6 + 2228*T1^4*T2^6 - 569*T1^5*T2^6 - 1728*T1^6*T2^6 + 
      2257*T1^7*T2^6 - 382*T1^8*T2^6 - 368*T1^9*T2^6 + 1740*T1^10*T2^6 + 
      608*T1^11*T2^6 + 16*T1^12*T2^6 - 992*T1*T2^7 - 1176*T1^2*T2^7 + 
      948*T1^3*T2^7 - 312*T1^4*T2^7 - 1651*T1^5*T2^7 + 2257*T1^6*T2^7 - 
      785*T1^7*T2^7 - 1210*T1^8*T2^7 + 1164*T1^9*T2^7 - 984*T1^10*T2^7 - 
      1032*T1^11*T2^7 - 32*T1^12*T2^7 + 1388*T1^2*T2^8 - 424*T1^3*T2^8 - 
      472*T1^4*T2^8 + 1272*T1^5*T2^8 - 382*T1^6*T2^8 - 1210*T1^7*T2^8 + 
      1706*T1^8*T2^8 - 528*T1^9*T2^8 - 328*T1^10*T2^8 + 1208*T1^11*T2^8 + 
      44*T1^12*T2^8 - 1248*T1^3*T2^9 + 1592*T1^4*T2^9 - 1068*T1^5*T2^9 - 
      368*T1^6*T2^9 + 1164*T1^7*T2^9 - 528*T1^8*T2^9 - 752*T1^9*T2^9 + 
      1200*T1^10*T2^9 - 1000*T1^11*T2^9 - 48*T1^12*T2^9 + 716*T1^4*T2^10 - 
      1464*T1^5*T2^10 + 1740*T1^6*T2^10 - 984*T1^7*T2^10 - 328*T1^8*T2^10 + 
      1200*T1^9*T2^10 - 1116*T1^10*T2^10 + 552*T1^11*T2^10 + 44*T1^12*T2^10 - 
      224*T1^5*T2^11 + 608*T1^6*T2^11 - 1032*T1^7*T2^11 + 1208*T1^8*T2^11 - 
      1000*T1^9*T2^11 + 552*T1^10*T2^11 - 160*T1^11*T2^11 - 32*T1^12*T2^11 + 
      16*T1^6*T2^12 - 32*T1^7*T2^12 + 44*T1^8*T2^12 - 48*T1^9*T2^12 + 
      44*T1^10*T2^12 - 32*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 237] -> 
  {((1 - T + T^2)*(8 - 15*T + 8*T^2))/T^2, 
   -((2240 - 6336*T1 + 8496*T1^2 - 6336*T1^3 + 2240*T1^4 - 6336*T2 + 
      13118*T1*T2 - 10390*T1^2*T2 - 454*T1^3*T2 + 7414*T1^4*T2 - 
      4864*T1^5*T2 + 8496*T2^2 - 10390*T1*T2^2 - 2238*T1^2*T2^2 + 
      15804*T1^3*T2^2 - 13646*T1^4*T2^2 + 1018*T1^5*T2^2 + 4528*T1^6*T2^2 - 
      6336*T2^3 - 454*T1*T2^3 + 15804*T1^2*T2^3 - 18529*T1^3*T2^3 + 
      2861*T1^4*T2^3 + 10813*T1^5*T2^3 - 7446*T1^6*T2^3 - 1920*T1^7*T2^3 + 
      2240*T2^4 + 7414*T1*T2^4 - 13646*T1^2*T2^4 + 2861*T1^3*T2^4 + 
      14028*T1^4*T2^4 - 15585*T1^5*T2^4 + 2752*T1^6*T2^4 + 4838*T1^7*T2^4 + 
      192*T1^8*T2^4 - 4864*T1*T2^5 + 1018*T1^2*T2^5 + 10813*T1^3*T2^5 - 
      15585*T1^4*T2^5 + 5805*T1^5*T2^5 + 5822*T1^6*T2^5 - 5974*T1^7*T2^5 - 
      448*T1^8*T2^5 + 4528*T1^2*T2^6 - 7446*T1^3*T2^6 + 2752*T1^4*T2^6 + 
      5822*T1^5*T2^6 - 8656*T1^6*T2^6 + 3962*T1^7*T2^6 + 560*T1^8*T2^6 - 
      1920*T1^3*T2^7 + 4838*T1^4*T2^7 - 5974*T1^5*T2^7 + 3962*T1^6*T2^7 - 
      866*T1^7*T2^7 - 448*T1^8*T2^7 + 192*T1^4*T2^8 - 448*T1^5*T2^8 + 
      560*T1^6*T2^8 - 448*T1^7*T2^8 + 192*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 238] -> 
  {(6 - 16*T + 21*T^2 - 16*T^3 + 6*T^4)/T^2, 
   -((963 - 2525*T1 + 3297*T1^2 - 2525*T1^3 + 963*T1^4 - 2525*T2 + 
      4702*T1*T2 - 3584*T1^2*T2 - 32*T1^3*T2 + 2590*T1^4*T2 - 1949*T1^5*T2 + 
      3297*T2^2 - 3584*T1*T2^2 - 424*T1^2*T2^2 + 4468*T1^3*T2^2 - 
      4204*T1^4*T2^2 + 448*T1^5*T2^2 + 1785*T1^6*T2^2 - 2525*T2^3 - 
      32*T1*T2^3 + 4468*T1^2*T2^3 - 5116*T1^3*T2^3 + 980*T1^4*T2^3 + 
      3124*T1^5*T2^3 - 2624*T1^6*T2^3 - 797*T1^7*T2^3 + 963*T2^4 + 
      2590*T1*T2^4 - 4204*T1^2*T2^4 + 980*T1^3*T2^4 + 3624*T1^4*T2^4 - 
      4396*T1^5*T2^4 + 964*T1^6*T2^4 + 1822*T1^7*T2^4 + 99*T1^8*T2^4 - 
      1949*T1*T2^5 + 448*T1^2*T2^5 + 3124*T1^3*T2^5 - 4396*T1^4*T2^5 + 
      1700*T1^5*T2^5 + 1780*T1^6*T2^5 - 2144*T1^7*T2^5 - 221*T1^8*T2^5 + 
      1785*T1^2*T2^6 - 2624*T1^3*T2^6 + 964*T1^4*T2^6 + 1780*T1^5*T2^6 - 
      2816*T1^6*T2^6 + 1408*T1^7*T2^6 + 273*T1^8*T2^6 - 797*T1^3*T2^7 + 
      1822*T1^4*T2^7 - 2144*T1^5*T2^7 + 1408*T1^6*T2^7 - 290*T1^7*T2^7 - 
      221*T1^8*T2^7 + 99*T1^4*T2^8 - 221*T1^5*T2^8 + 273*T1^6*T2^8 - 
      221*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 239] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 35*T1 - 110*T1^2 + 210*T1^3 - 255*T1^4 + 210*T1^5 - 110*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 854*T1^3*T2 + 
      609*T1^4*T2 - 42*T1^5*T2 - 406*T1^6*T2 + 371*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 765*T1^3*T2^2 + 
      1180*T1^4*T2^2 - 2617*T1^5*T2^2 + 2456*T1^6*T2^2 - 775*T1^7*T2^2 - 
      189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 210*T2^3 - 
      854*T1*T2^3 + 765*T1^2*T2^3 + 1606*T1^3*T2^3 - 5623*T1^4*T2^3 + 
      5065*T1^5*T2^3 - 1193*T1^6*T2^3 - 3075*T1^7*T2^3 + 2558*T1^8*T2^3 - 
      775*T1^9*T2^3 - 126*T1^10*T2^3 + 84*T1^11*T2^3 - 255*T2^4 + 
      609*T1*T2^4 + 1180*T1^2*T2^4 - 5623*T1^3*T2^4 + 8494*T1^4*T2^4 - 
      707*T1^5*T2^4 - 7008*T1^6*T2^4 + 9205*T1^7*T2^4 - 1886*T1^8*T2^4 - 
      1843*T1^9*T2^4 + 1552*T1^10*T2^4 - 231*T1^11*T2^4 - 51*T1^12*T2^4 + 
      210*T2^5 - 42*T1*T2^5 - 2617*T1^2*T2^5 + 5065*T1^3*T2^5 - 
      707*T1^4*T2^5 - 14623*T1^5*T2^5 + 16608*T1^6*T2^5 - 6870*T1^7*T2^5 - 
      8575*T1^8*T2^5 + 7840*T1^9*T2^5 - 2285*T1^10*T2^5 - 664*T1^11*T2^5 + 
      357*T1^12*T2^5 - 110*T2^6 - 406*T1*T2^6 + 2456*T1^2*T2^6 - 
      1193*T1^3*T2^6 - 7008*T1^4*T2^6 + 16608*T1^5*T2^6 - 1083*T1^6*T2^6 - 
      17785*T1^7*T2^6 + 25605*T1^8*T2^6 - 8676*T1^9*T2^6 - 2544*T1^10*T2^6 + 
      3427*T1^11*T2^6 - 628*T1^12*T2^6 - 154*T1^13*T2^6 + 22*T1^14*T2^6 + 
      35*T2^7 + 371*T1*T2^7 - 775*T1^2*T2^7 - 3075*T1^3*T2^7 + 
      9205*T1^4*T2^7 - 6870*T1^5*T2^7 - 17785*T1^6*T2^7 + 27723*T1^7*T2^7 - 
      16013*T1^8*T2^7 - 9441*T1^9*T2^7 + 12996*T1^10*T2^7 - 4802*T1^11*T2^7 - 
      695*T1^12*T2^7 + 765*T1^13*T2^7 - 56*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2558*T1^3*T2^8 - 
      1886*T1^4*T2^8 - 8575*T1^5*T2^8 + 25605*T1^6*T2^8 - 16013*T1^7*T2^8 - 
      8568*T1^8*T2^8 + 24657*T1^9*T2^8 - 13247*T1^10*T2^8 - 1141*T1^11*T2^8 + 
      4070*T1^12*T2^8 - 1334*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 775*T1^3*T2^9 - 
      1843*T1^4*T2^9 + 7840*T1^5*T2^9 - 8676*T1^6*T2^9 - 9441*T1^7*T2^9 + 
      24657*T1^8*T2^9 - 19079*T1^9*T2^9 - 1097*T1^10*T2^9 + 
      11190*T1^11*T2^9 - 6167*T1^12*T2^9 + 537*T1^13*T2^9 + 765*T1^14*T2^9 - 
      161*T1^15*T2^9 - 21*T1^16*T2^9 - 66*T1^2*T2^10 - 126*T1^3*T2^10 + 
      1552*T1^4*T2^10 - 2285*T1^5*T2^10 - 2544*T1^6*T2^10 + 
      12996*T1^7*T2^10 - 13247*T1^8*T2^10 - 1097*T1^9*T2^10 + 
      13441*T1^10*T2^10 - 12288*T1^11*T2^10 + 1920*T1^12*T2^10 + 
      2335*T1^13*T2^10 - 1532*T1^14*T2^10 + 126*T1^15*T2^10 + 
      66*T1^16*T2^10 + 84*T1^3*T2^11 - 231*T1^4*T2^11 - 664*T1^5*T2^11 + 
      3427*T1^6*T2^11 - 4802*T1^7*T2^11 - 1141*T1^8*T2^11 + 
      11190*T1^9*T2^11 - 12288*T1^10*T2^11 + 4907*T1^11*T2^11 + 
      3745*T1^12*T2^11 - 3923*T1^13*T2^11 + 1289*T1^14*T2^11 + 
      168*T1^15*T2^11 - 126*T1^16*T2^11 - 51*T1^4*T2^12 + 357*T1^5*T2^12 - 
      628*T1^6*T2^12 - 695*T1^7*T2^12 + 4070*T1^8*T2^12 - 6167*T1^9*T2^12 + 
      1920*T1^10*T2^12 + 3745*T1^11*T2^12 - 6310*T1^12*T2^12 + 
      3085*T1^13*T2^12 - 256*T1^14*T2^12 - 483*T1^15*T2^12 + 
      153*T1^16*T2^12 - 154*T1^6*T2^13 + 765*T1^7*T2^13 - 1334*T1^8*T2^13 + 
      537*T1^9*T2^13 + 2335*T1^10*T2^13 - 3923*T1^11*T2^13 + 
      3085*T1^12*T2^13 - 382*T1^13*T2^13 - 775*T1^14*T2^13 + 
      574*T1^15*T2^13 - 126*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 765*T1^9*T2^14 - 1532*T1^10*T2^14 + 1289*T1^11*T2^14 - 
      256*T1^12*T2^14 - 775*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      126*T1^10*T2^15 + 168*T1^11*T2^15 - 483*T1^12*T2^15 + 574*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 126*T1^11*T2^16 + 153*T1^12*T2^16 - 
      126*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 240] -> 
  {(2 - 5*T + 8*T^2 - 10*T^3 + 11*T^4 - 10*T^5 + 8*T^6 - 5*T^7 + 2*T^8)/T^4, 
   -((65 - 161*T1 + 256*T1^2 - 319*T1^3 + 351*T1^4 - 319*T1^5 + 256*T1^6 - 
      161*T1^7 + 65*T1^8 - 161*T2 + 260*T1*T2 - 289*T1^2*T2 + 239*T1^3*T2 - 
      180*T1^4*T2 + 30*T1^5*T2 + 59*T1^6*T2 - 159*T1^7*T2 + 190*T1^8*T2 - 
      141*T1^9*T2 + 256*T2^2 - 289*T1*T2^2 + 325*T1^2*T2^2 - 324*T1^3*T2^2 + 
      373*T1^4*T2^2 - 257*T1^5*T2^2 + 277*T1^6*T2^2 - 164*T1^7*T2^2 + 
      133*T1^8*T2^2 - 129*T1^9*T2^2 + 192*T1^10*T2^2 - 319*T2^3 + 
      239*T1*T2^3 - 324*T1^2*T2^3 + 312*T1^3*T2^3 - 339*T1^4*T2^3 + 
      109*T1^5*T2^3 - 131*T1^6*T2^3 - 99*T1^7*T2^3 + 112*T1^8*T2^3 - 
      124*T1^9*T2^3 + 19*T1^10*T2^3 - 199*T1^11*T2^3 + 351*T2^4 - 
      180*T1*T2^4 + 373*T1^2*T2^4 - 339*T1^3*T2^4 + 382*T1^4*T2^4 - 
      139*T1^5*T2^4 + 262*T1^6*T2^4 + T1^7*T2^4 + 90*T1^8*T2^4 - 
      59*T1^9*T2^4 + 169*T1^10*T2^4 + 60*T1^11*T2^4 + 175*T1^12*T2^4 - 
      319*T2^5 + 30*T1*T2^5 - 257*T1^2*T2^5 + 109*T1^3*T2^5 - 139*T1^4*T2^5 - 
      87*T1^5*T2^5 - 135*T1^6*T2^5 - 125*T1^7*T2^5 - 87*T1^8*T2^5 + 
      21*T1^9*T2^5 - 131*T1^10*T2^5 - 122*T1^11*T2^5 - 140*T1^12*T2^5 - 
      119*T1^13*T2^5 + 256*T2^6 + 59*T1*T2^6 + 277*T1^2*T2^6 - 
      131*T1^3*T2^6 + 262*T1^4*T2^6 - 135*T1^5*T2^6 + 391*T1^6*T2^6 - 
      77*T1^7*T2^6 + 287*T1^8*T2^6 - 95*T1^9*T2^6 + 150*T1^10*T2^6 + 
      109*T1^11*T2^6 + 157*T1^12*T2^6 + 139*T1^13*T2^6 + 64*T1^14*T2^6 - 
      161*T2^7 - 159*T1*T2^7 - 164*T1^2*T2^7 - 99*T1^3*T2^7 + T1^4*T2^7 - 
      125*T1^5*T2^7 - 77*T1^6*T2^7 - 200*T1^7*T2^7 - 100*T1^8*T2^7 - 
      57*T1^9*T2^7 - 75*T1^10*T2^7 - 79*T1^11*T2^7 - 179*T1^12*T2^7 - 
      124*T1^13*T2^7 - 109*T1^14*T2^7 - 21*T1^15*T2^7 + 65*T2^8 + 
      190*T1*T2^8 + 133*T1^2*T2^8 + 112*T1^3*T2^8 + 90*T1^4*T2^8 - 
      87*T1^5*T2^8 + 287*T1^6*T2^8 - 100*T1^7*T2^8 + 384*T1^8*T2^8 - 
      160*T1^9*T2^8 + 227*T1^10*T2^8 - 57*T1^11*T2^8 + 190*T1^12*T2^8 + 
      112*T1^13*T2^8 + 115*T1^14*T2^8 + 50*T1^15*T2^8 + T1^16*T2^8 - 
      141*T1*T2^9 - 129*T1^2*T2^9 - 124*T1^3*T2^9 - 59*T1^4*T2^9 + 
      21*T1^5*T2^9 - 95*T1^6*T2^9 - 57*T1^7*T2^9 - 160*T1^8*T2^9 - 
      60*T1^9*T2^9 - 37*T1^10*T2^9 - 45*T1^11*T2^9 - 59*T1^12*T2^9 - 
      139*T1^13*T2^9 - 84*T1^14*T2^9 - 79*T1^15*T2^9 - T1^16*T2^9 + 
      192*T1^2*T2^10 + 19*T1^3*T2^10 + 169*T1^4*T2^10 - 131*T1^5*T2^10 + 
      150*T1^6*T2^10 - 75*T1^7*T2^10 + 227*T1^8*T2^10 - 37*T1^9*T2^10 + 
      123*T1^10*T2^10 - 35*T1^11*T2^10 + 38*T1^12*T2^10 + 109*T1^13*T2^10 + 
      49*T1^14*T2^10 + 99*T1^15*T2^10 - 199*T1^3*T2^11 + 60*T1^4*T2^11 - 
      122*T1^5*T2^11 + 109*T1^6*T2^11 - 79*T1^7*T2^11 - 57*T1^8*T2^11 - 
      45*T1^9*T2^11 - 35*T1^10*T2^11 - 57*T1^11*T2^11 + 81*T1^12*T2^11 - 
      131*T1^13*T2^11 + 13*T1^14*T2^11 - 110*T1^15*T2^11 + T1^16*T2^11 + 
      175*T1^4*T2^12 - 140*T1^5*T2^12 + 157*T1^6*T2^12 - 179*T1^7*T2^12 + 
      190*T1^8*T2^12 - 59*T1^9*T2^12 + 38*T1^10*T2^12 + 81*T1^11*T2^12 - 
      102*T1^12*T2^12 + 101*T1^13*T2^12 - 47*T1^14*T2^12 + 100*T1^15*T2^12 - 
      T1^16*T2^12 - 119*T1^5*T2^13 + 139*T1^6*T2^13 - 124*T1^7*T2^13 + 
      112*T1^8*T2^13 - 139*T1^9*T2^13 + 109*T1^10*T2^13 - 131*T1^11*T2^13 + 
      101*T1^12*T2^13 - 88*T1^13*T2^13 + 76*T1^14*T2^13 - 81*T1^15*T2^13 + 
      T1^16*T2^13 + 64*T1^6*T2^14 - 109*T1^7*T2^14 + 115*T1^8*T2^14 - 
      84*T1^9*T2^14 + 49*T1^10*T2^14 + 13*T1^11*T2^14 - 47*T1^12*T2^14 + 
      76*T1^13*T2^14 - 77*T1^14*T2^14 + 51*T1^15*T2^14 - 21*T1^7*T2^15 + 
      50*T1^8*T2^15 - 79*T1^9*T2^15 + 99*T1^10*T2^15 - 110*T1^11*T2^15 + 
      100*T1^12*T2^15 - 81*T1^13*T2^15 + 51*T1^14*T2^15 - 20*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + 
      T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 241] -> 
  {(4 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 4*T^6)/T^3, 
   -((400 - 1184*T1 + 1956*T1^2 - 2240*T1^3 + 1956*T1^4 - 1184*T1^5 + 
      400*T1^6 - 1184*T2 + 2532*T1*T2 - 2898*T1^2*T2 + 1822*T1^3*T2 - 
      242*T1^4*T2 - 1362*T1^5*T2 + 1764*T1^6*T2 - 992*T1^7*T2 + 1956*T2^2 - 
      2898*T1*T2^2 + 2164*T1^2*T2^2 - 269*T1^3*T2^2 - 820*T1^4*T2^2 + 
      1491*T1^5*T2^2 - 396*T1^6*T2^2 - 978*T1^7*T2^2 + 1316*T1^8*T2^2 - 
      2240*T2^3 + 1822*T1*T2^3 - 269*T1^2*T2^3 - 1224*T1^3*T2^3 + 
      834*T1^4*T2^3 - 654*T1^5*T2^3 - 996*T1^6*T2^3 + 1411*T1^7*T2^3 - 
      530*T1^8*T2^3 - 1136*T1^9*T2^3 + 1956*T2^4 - 242*T1*T2^4 - 
      820*T1^2*T2^4 + 834*T1^3*T2^4 + 736*T1^4*T2^4 - 690*T1^5*T2^4 + 
      1688*T1^6*T2^4 - 638*T1^7*T2^4 - 596*T1^8*T2^4 + 1390*T1^9*T2^4 + 
      676*T1^10*T2^4 - 1184*T2^5 - 1362*T1*T2^5 + 1491*T1^2*T2^5 - 
      654*T1^3*T2^5 - 690*T1^4*T2^5 - 42*T1^5*T2^5 - 622*T1^6*T2^5 - 
      610*T1^7*T2^5 + 866*T1^8*T2^5 - 509*T1^9*T2^5 - 1362*T1^10*T2^5 - 
      224*T1^11*T2^5 + 400*T2^6 + 1764*T1*T2^6 - 396*T1^2*T2^6 - 
      996*T1^3*T2^6 + 1688*T1^4*T2^6 - 622*T1^5*T2^6 + 1044*T1^6*T2^6 + 
      114*T1^7*T2^6 + 216*T1^8*T2^6 - 708*T1^9*T2^6 + 1396*T1^10*T2^6 + 
      612*T1^11*T2^6 + 16*T1^12*T2^6 - 992*T1*T2^7 - 978*T1^2*T2^7 + 
      1411*T1^3*T2^7 - 638*T1^4*T2^7 - 610*T1^5*T2^7 + 114*T1^6*T2^7 - 
      466*T1^7*T2^7 - 530*T1^8*T2^7 + 882*T1^9*T2^7 - 589*T1^10*T2^7 - 
      978*T1^11*T2^7 - 32*T1^12*T2^7 + 1316*T1^2*T2^8 - 530*T1^3*T2^8 - 
      596*T1^4*T2^8 + 866*T1^5*T2^8 + 216*T1^6*T2^8 - 530*T1^7*T2^8 + 
      1168*T1^8*T2^8 - 606*T1^9*T2^8 - 372*T1^10*T2^8 + 1102*T1^11*T2^8 + 
      36*T1^12*T2^8 - 1136*T1^3*T2^9 + 1390*T1^4*T2^9 - 509*T1^5*T2^9 - 
      708*T1^6*T2^9 + 882*T1^7*T2^9 - 606*T1^8*T2^9 - 480*T1^9*T2^9 + 
      1171*T1^10*T2^9 - 962*T1^11*T2^9 - 32*T1^12*T2^9 + 676*T1^4*T2^10 - 
      1362*T1^5*T2^10 + 1396*T1^6*T2^10 - 589*T1^7*T2^10 - 372*T1^8*T2^10 + 
      1171*T1^9*T2^10 - 1164*T1^10*T2^10 + 558*T1^11*T2^10 + 36*T1^12*T2^10 - 
      224*T1^5*T2^11 + 612*T1^6*T2^11 - 978*T1^7*T2^11 + 1102*T1^8*T2^11 - 
      962*T1^9*T2^11 + 558*T1^10*T2^11 - 156*T1^11*T2^11 - 32*T1^12*T2^11 + 
      16*T1^6*T2^12 - 32*T1^7*T2^12 + 36*T1^8*T2^12 - 32*T1^9*T2^12 + 
      36*T1^10*T2^12 - 32*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 242] -> 
  {(3 - 7*T + 9*T^2 - 9*T^3 + 9*T^4 - 7*T^5 + 3*T^6)/T^3, 
   -((171 - 395*T1 + 507*T1^2 - 507*T1^3 + 507*T1^4 - 395*T1^5 + 171*T1^6 - 
      395*T2 + 583*T1*T2 - 407*T1^2*T2 + 189*T1^3*T2 - 189*T1^4*T2 - 
      71*T1^5*T2 + 373*T1^6*T2 - 332*T1^7*T2 + 507*T2^2 - 407*T1*T2^2 + 
      45*T1^2*T2^2 + 45*T1^3*T2^2 + 163*T1^4*T2^2 + 153*T1^5*T2^2 - 
      279*T1^6*T2^2 - 29*T1^7*T2^2 + 345*T1^8*T2^2 - 507*T2^3 + 189*T1*T2^3 + 
      45*T1^2*T2^3 + 70*T1^3*T2^3 - 292*T1^4*T2^3 - 130*T1^5*T2^3 + 
      106*T1^6*T2^3 + 144*T1^7*T2^3 - 189*T1^8*T2^3 - 264*T1^9*T2^3 + 
      507*T2^4 - 189*T1*T2^4 + 163*T1^2*T2^4 - 292*T1^3*T2^4 + 
      384*T1^4*T2^4 + 86*T1^5*T2^4 - 12*T1^6*T2^4 - 76*T1^7*T2^4 + 
      73*T1^8*T2^4 + 189*T1^9*T2^4 + 183*T1^10*T2^4 - 395*T2^5 - 71*T1*T2^5 + 
      153*T1^2*T2^5 - 130*T1^3*T2^5 + 86*T1^4*T2^5 - 397*T1^5*T2^5 + 
      119*T1^6*T2^5 + 59*T1^7*T2^5 - 184*T1^8*T2^5 + 18*T1^9*T2^5 - 
      239*T1^10*T2^5 - 80*T1^11*T2^5 + 171*T2^6 + 373*T1*T2^6 - 
      279*T1^2*T2^6 + 106*T1^3*T2^6 - 12*T1^4*T2^6 + 119*T1^5*T2^6 + 
      276*T1^6*T2^6 - 355*T1^7*T2^6 + 294*T1^8*T2^6 - 38*T1^9*T2^6 + 
      121*T1^10*T2^6 + 163*T1^11*T2^6 + 9*T1^12*T2^6 - 332*T1*T2^7 - 
      29*T1^2*T2^7 + 144*T1^3*T2^7 - 76*T1^4*T2^7 + 59*T1^5*T2^7 - 
      355*T1^6*T2^7 + 161*T1^7*T2^7 + 32*T1^8*T2^7 - 130*T1^9*T2^7 + 
      9*T1^10*T2^7 - 197*T1^11*T2^7 - 17*T1^12*T2^7 + 345*T1^2*T2^8 - 
      189*T1^3*T2^8 + 73*T1^4*T2^8 - 184*T1^5*T2^8 + 294*T1^6*T2^8 + 
      32*T1^7*T2^8 - 102*T1^8*T2^8 + 32*T1^9*T2^8 - 17*T1^10*T2^8 + 
      189*T1^11*T2^8 + 21*T1^12*T2^8 - 264*T1^3*T2^9 + 189*T1^4*T2^9 + 
      18*T1^5*T2^9 - 38*T1^6*T2^9 - 130*T1^7*T2^9 + 32*T1^8*T2^9 - 
      2*T1^9*T2^9 + 117*T1^10*T2^9 - 189*T1^11*T2^9 - 21*T1^12*T2^9 + 
      183*T1^4*T2^10 - 239*T1^5*T2^10 + 121*T1^6*T2^10 + 9*T1^7*T2^10 - 
      17*T1^8*T2^10 + 117*T1^9*T2^10 - 203*T1^10*T2^10 + 139*T1^11*T2^10 + 
      21*T1^12*T2^10 - 80*T1^5*T2^11 + 163*T1^6*T2^11 - 197*T1^7*T2^11 + 
      189*T1^8*T2^11 - 189*T1^9*T2^11 + 139*T1^10*T2^11 - 47*T1^11*T2^11 - 
      17*T1^12*T2^11 + 9*T1^6*T2^12 - 17*T1^7*T2^12 + 21*T1^8*T2^12 - 
      21*T1^9*T2^12 + 21*T1^10*T2^12 - 17*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 243] -> 
  {((1 - T + T^2)*(6 - 11*T + 6*T^2))/T^2, 
   -((963 - 2683*T1 + 3613*T1^2 - 2683*T1^3 + 963*T1^4 - 2683*T2 + 
      5430*T1*T2 - 4344*T1^2*T2 - 264*T1^3*T2 + 3084*T1^4*T2 - 2071*T1^5*T2 + 
      3613*T2^2 - 4344*T1*T2^2 - 625*T1^2*T2^2 + 6359*T1^3*T2^2 - 
      5317*T1^4*T2^2 + 348*T1^5*T2^2 + 1957*T1^6*T2^2 - 2683*T2^3 - 
      264*T1*T2^3 + 6359*T1^2*T2^3 - 7673*T1^3*T2^3 + 929*T1^4*T2^3 + 
      4404*T1^5*T2^3 - 3120*T1^6*T2^3 - 847*T1^7*T2^3 + 963*T2^4 + 
      3084*T1*T2^4 - 5317*T1^2*T2^4 + 929*T1^3*T2^4 + 6264*T1^4*T2^4 - 
      6449*T1^5*T2^4 + 1197*T1^6*T2^4 + 2064*T1^7*T2^4 + 99*T1^8*T2^4 - 
      2071*T1*T2^5 + 348*T1^2*T2^5 + 4404*T1^3*T2^5 - 6449*T1^4*T2^5 + 
      2153*T1^5*T2^5 + 2449*T1^6*T2^5 - 2508*T1^7*T2^5 - 235*T1^8*T2^5 + 
      1957*T1^2*T2^6 - 3120*T1^3*T2^6 + 1197*T1^4*T2^6 + 2449*T1^5*T2^6 - 
      3495*T1^6*T2^6 + 1572*T1^7*T2^6 + 301*T1^8*T2^6 - 847*T1^3*T2^7 + 
      2064*T1^4*T2^7 - 2508*T1^5*T2^7 + 1572*T1^6*T2^7 - 282*T1^7*T2^7 - 
      235*T1^8*T2^7 + 99*T1^4*T2^8 - 235*T1^5*T2^8 + 301*T1^6*T2^8 - 
      235*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 244] -> 
  {((1 - T + T^2)*(5 - 12*T + 15*T^2 - 12*T^3 + 5*T^4))/T^3, 
   -((770 - 2580*T1 + 4826*T1^2 - 5870*T1^3 + 4826*T1^4 - 2580*T1^5 + 
      770*T1^6 - 2580*T2 + 6523*T1*T2 - 9027*T1^2*T2 + 6248*T1^3*T2 + 
      213*T1^4*T2 - 4862*T1^5*T2 + 4653*T1^6*T2 - 2155*T1^7*T2 + 4826*T2^2 - 
      9027*T1*T2^2 + 9161*T1^2*T2^2 - 1768*T1^3*T2^2 - 5501*T1^4*T2^2 + 
      5272*T1^5*T2^2 + 521*T1^6*T2^2 - 3587*T1^7*T2^2 + 3226*T1^8*T2^2 - 
      5870*T2^3 + 6248*T1*T2^3 - 1768*T1^2*T2^3 - 7787*T1^3*T2^3 + 
      9162*T1^4*T2^3 - 797*T1^5*T2^3 - 6871*T1^6*T2^3 + 4984*T1^7*T2^3 - 
      977*T1^8*T2^3 - 2945*T1^9*T2^3 + 4826*T2^4 + 213*T1*T2^4 - 
      5501*T1^2*T2^4 + 9162*T1^3*T2^4 + 503*T1^4*T2^4 - 12237*T1^5*T2^4 + 
      12395*T1^6*T2^4 - 1680*T1^7*T2^4 - 3439*T1^8*T2^4 + 4463*T1^9*T2^4 + 
      1626*T1^10*T2^4 - 2580*T2^5 - 4862*T1*T2^5 + 5272*T1^2*T2^5 - 
      797*T1^3*T2^5 - 12237*T1^4*T2^5 + 14855*T1^5*T2^5 - 3135*T1^6*T2^5 - 
      9293*T1^7*T2^5 + 7396*T1^8*T2^5 - 2632*T1^9*T2^5 - 3927*T1^10*T2^5 - 
      455*T1^11*T2^5 + 770*T2^6 + 4653*T1*T2^6 + 521*T1^2*T2^6 - 
      6871*T1^3*T2^6 + 12395*T1^4*T2^6 - 3135*T1^5*T2^6 - 10692*T1^6*T2^6 + 
      13259*T1^7*T2^6 - 2617*T1^8*T2^6 - 3197*T1^9*T2^6 + 5133*T1^10*T2^6 + 
      1423*T1^11*T2^6 + 20*T1^12*T2^6 - 2155*T1*T2^7 - 3587*T1^2*T2^7 + 
      4984*T1^3*T2^7 - 1680*T1^4*T2^7 - 9293*T1^5*T2^7 + 13259*T1^6*T2^7 - 
      4731*T1^7*T2^7 - 6349*T1^8*T2^7 + 6513*T1^9*T2^7 - 2920*T1^10*T2^7 - 
      2652*T1^11*T2^7 - 30*T1^12*T2^7 + 3226*T1^2*T2^8 - 977*T1^3*T2^8 - 
      3439*T1^4*T2^8 + 7396*T1^5*T2^8 - 2617*T1^6*T2^8 - 6349*T1^7*T2^8 + 
      9275*T1^8*T2^8 - 3446*T1^9*T2^8 - 1377*T1^10*T2^8 + 3273*T1^11*T2^8 + 
      26*T1^12*T2^8 - 2945*T1^3*T2^9 + 4463*T1^4*T2^9 - 2632*T1^5*T2^9 - 
      3197*T1^6*T2^9 + 6513*T1^7*T2^9 - 3446*T1^8*T2^9 - 2281*T1^9*T2^9 + 
      4120*T1^10*T2^9 - 2762*T1^11*T2^9 - 20*T1^12*T2^9 + 1626*T1^4*T2^10 - 
      3927*T1^5*T2^10 + 5133*T1^6*T2^10 - 2920*T1^7*T2^10 - 1377*T1^8*T2^10 + 
      4120*T1^9*T2^10 - 3507*T1^10*T2^10 + 1513*T1^11*T2^10 + 
      26*T1^12*T2^10 - 455*T1^5*T2^11 + 1423*T1^6*T2^11 - 2652*T1^7*T2^11 + 
      3273*T1^8*T2^11 - 2762*T1^9*T2^11 + 1513*T1^10*T2^11 - 
      447*T1^11*T2^11 - 30*T1^12*T2^11 + 20*T1^6*T2^12 - 30*T1^7*T2^12 + 
      26*T1^8*T2^12 - 20*T1^9*T2^12 + 26*T1^10*T2^12 - 30*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 245] -> 
  {((1 - T + T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   -((171 - 507*T1 + 896*T1^2 - 1061*T1^3 + 896*T1^4 - 507*T1^5 + 171*T1^6 - 
      507*T2 + 1083*T1*T2 - 1406*T1^2*T2 + 927*T1^3*T2 - 18*T1^4*T2 - 
      731*T1^5*T2 + 759*T1^6*T2 - 426*T1^7*T2 + 896*T2^2 - 1406*T1*T2^2 + 
      1519*T1^2*T2^2 - 616*T1^3*T2^2 - 149*T1^4*T2^2 + 344*T1^5*T2^2 + 
      271*T1^6*T2^2 - 542*T1^7*T2^2 + 608*T1^8*T2^2 - 1061*T2^3 + 
      927*T1*T2^3 - 616*T1^2*T2^3 - 517*T1^3*T2^3 + 605*T1^4*T2^3 - 
      160*T1^5*T2^3 - 679*T1^6*T2^3 + 392*T1^7*T2^3 - 180*T1^8*T2^3 - 
      548*T1^9*T2^3 + 896*T2^4 - 18*T1*T2^4 - 149*T1^2*T2^4 + 605*T1^3*T2^4 + 
      491*T1^4*T2^4 - 1167*T1^5*T2^4 + 1415*T1^6*T2^4 - 193*T1^7*T2^4 - 
      143*T1^8*T2^4 + 684*T1^9*T2^4 + 320*T1^10*T2^4 - 507*T2^5 - 
      731*T1*T2^5 + 344*T1^2*T2^5 - 160*T1^3*T2^5 - 1167*T1^4*T2^5 + 
      1035*T1^5*T2^5 - 425*T1^6*T2^5 - 911*T1^7*T2^5 + 539*T1^8*T2^5 - 
      472*T1^9*T2^5 - 650*T1^10*T2^5 - 102*T1^11*T2^5 + 171*T2^6 + 
      759*T1*T2^6 + 271*T1^2*T2^6 - 679*T1^3*T2^6 + 1415*T1^4*T2^6 - 
      425*T1^5*T2^6 - 372*T1^6*T2^6 + 969*T1^7*T2^6 + 51*T1^8*T2^6 - 
      229*T1^9*T2^6 + 787*T1^10*T2^6 + 273*T1^11*T2^6 + 9*T1^12*T2^6 - 
      426*T1*T2^7 - 542*T1^2*T2^7 + 392*T1^3*T2^7 - 193*T1^4*T2^7 - 
      911*T1^5*T2^7 + 969*T1^6*T2^7 - 491*T1^7*T2^7 - 655*T1^8*T2^7 + 
      506*T1^9*T2^7 - 424*T1^10*T2^7 - 461*T1^11*T2^7 - 21*T1^12*T2^7 + 
      608*T1^2*T2^8 - 180*T1^3*T2^8 - 143*T1^4*T2^8 + 539*T1^5*T2^8 + 
      51*T1^6*T2^8 - 655*T1^7*T2^8 + 975*T1^8*T2^8 - 259*T1^9*T2^8 - 
      137*T1^10*T2^8 + 522*T1^11*T2^8 + 32*T1^12*T2^8 - 548*T1^3*T2^9 + 
      684*T1^4*T2^9 - 472*T1^5*T2^9 - 229*T1^6*T2^9 + 506*T1^7*T2^9 - 
      259*T1^8*T2^9 - 391*T1^9*T2^9 + 536*T1^10*T2^9 - 423*T1^11*T2^9 - 
      35*T1^12*T2^9 + 320*T1^4*T2^10 - 650*T1^5*T2^10 + 787*T1^6*T2^10 - 
      424*T1^7*T2^10 - 137*T1^8*T2^10 + 536*T1^9*T2^10 - 461*T1^10*T2^10 + 
      214*T1^11*T2^10 + 32*T1^12*T2^10 - 102*T1^5*T2^11 + 273*T1^6*T2^11 - 
      461*T1^7*T2^11 + 522*T1^8*T2^11 - 423*T1^9*T2^11 + 214*T1^10*T2^11 - 
      51*T1^11*T2^11 - 21*T1^12*T2^11 + 9*T1^6*T2^12 - 21*T1^7*T2^12 + 
      32*T1^8*T2^12 - 35*T1^9*T2^12 + 32*T1^10*T2^12 - 21*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 246] -> {(4 - 10*T + 13*T^2 - 10*T^3 + 4*T^4)/T^2, 
   -((292 - 720*T1 + 934*T1^2 - 720*T1^3 + 292*T1^4 - 720*T2 + 1220*T1*T2 - 
      930*T1^2*T2 - 10*T1^3*T2 + 660*T1^4*T2 - 560*T1^5*T2 + 934*T2^2 - 
      930*T1*T2^2 + 41*T1^2*T2^2 + 957*T1^3*T2^2 - 895*T1^4*T2^2 + 
      110*T1^5*T2^2 + 518*T1^6*T2^2 - 720*T2^3 - 10*T1*T2^3 + 957*T1^2*T2^3 - 
      1160*T1^3*T2^3 + 150*T1^4*T2^3 + 697*T1^5*T2^3 - 690*T1^6*T2^3 - 
      240*T1^7*T2^3 + 292*T2^4 + 660*T1*T2^4 - 895*T1^2*T2^4 + 
      150*T1^3*T2^4 + 972*T1^4*T2^4 - 1010*T1^5*T2^4 + 273*T1^6*T2^4 + 
      500*T1^7*T2^4 + 36*T1^8*T2^4 - 560*T1*T2^5 + 110*T1^2*T2^5 + 
      697*T1^3*T2^5 - 1010*T1^4*T2^5 + 300*T1^5*T2^5 + 437*T1^6*T2^5 - 
      570*T1^7*T2^5 - 80*T1^8*T2^5 + 518*T1^2*T2^6 - 690*T1^3*T2^6 + 
      273*T1^4*T2^6 + 437*T1^5*T2^6 - 663*T1^6*T2^6 + 350*T1^7*T2^6 + 
      102*T1^8*T2^6 - 240*T1^3*T2^7 + 500*T1^4*T2^7 - 570*T1^5*T2^7 + 
      350*T1^6*T2^7 - 60*T1^7*T2^7 - 80*T1^8*T2^7 + 36*T1^4*T2^8 - 
      80*T1^5*T2^8 + 102*T1^6*T2^8 - 80*T1^7*T2^8 + 36*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 247] -> 
  {(5 - 9*T + 5*T^2)/T, (-5*(70 - 124*T1 + 70*T1^2 - 124*T2 + 141*T1*T2 + 
      15*T1^2*T2 - 79*T1^3*T2 + 70*T2^2 + 15*T1*T2^2 - 156*T1^2*T2^2 + 
      105*T1^3*T2^2 + 20*T1^4*T2^2 - 79*T1*T2^3 + 105*T1^2*T2^3 - 
      21*T1^3*T2^3 - 34*T1^4*T2^3 + 20*T1^2*T2^4 - 34*T1^3*T2^4 + 
      20*T1^4*T2^4))/(T1^3*T2^2*(-1 + T1*T2))}, 
 Knot[11, Alternating, 248] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6))/T^4), 
   -((-3 + 18*T1 - 54*T1^2 + 102*T1^3 - 123*T1^4 + 102*T1^5 - 54*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 252*T1^2*T2 - 396*T1^3*T2 + 
      330*T1^4*T2 - 120*T1^5*T2 - 84*T1^6*T2 + 108*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 54*T2^2 + 252*T1*T2^2 - 557*T1^2*T2^2 + 648*T1^3*T2^2 - 
      100*T1^4*T2^2 - 487*T1^5*T2^2 + 728*T1^6*T2^2 - 360*T1^7*T2^2 + 
      55*T1^8*T2^2 + 36*T1^9*T2^2 - 18*T1^10*T2^2 + 102*T2^3 - 396*T1*T2^3 + 
      648*T1^2*T2^3 - 250*T1^3*T2^3 - 1148*T1^4*T2^3 + 1670*T1^5*T2^3 - 
      1126*T1^6*T2^3 - 326*T1^7*T2^3 + 728*T1^8*T2^3 - 432*T1^9*T2^3 + 
      108*T1^10*T2^3 - 123*T2^4 + 330*T1*T2^4 - 100*T1^2*T2^4 - 
      1148*T1^3*T2^4 + 2960*T1^4*T2^4 - 1947*T1^5*T2^4 - 498*T1^6*T2^4 + 
      2845*T1^7*T2^4 - 1904*T1^8*T2^4 + 212*T1^9*T2^4 + 404*T1^10*T2^4 - 
      246*T1^11*T2^4 + 41*T1^12*T2^4 + 102*T2^5 - 120*T1*T2^5 - 
      487*T1^2*T2^5 + 1670*T1^3*T2^5 - 1947*T1^4*T2^5 - 2080*T1^5*T2^5 + 
      5706*T1^6*T2^5 - 5898*T1^7*T2^5 + 1008*T1^8*T2^5 + 2225*T1^9*T2^5 - 
      1550*T1^10*T2^5 + 269*T1^11*T2^5 + 162*T1^12*T2^5 - 68*T1^13*T2^5 - 
      54*T2^6 - 84*T1*T2^6 + 728*T1^2*T2^6 - 1126*T1^3*T2^6 - 498*T1^4*T2^6 + 
      5706*T1^5*T2^6 - 6983*T1^6*T2^6 + 1681*T1^7*T2^6 + 5953*T1^8*T2^6 - 
      6654*T1^9*T2^6 + 1278*T1^10*T2^6 + 1034*T1^11*T2^6 - 748*T1^12*T2^6 + 
      84*T1^13*T2^6 + 54*T1^14*T2^6 + 18*T2^7 + 108*T1*T2^7 - 360*T1^2*T2^7 - 
      326*T1^3*T2^7 + 2845*T1^4*T2^7 - 5898*T1^5*T2^7 + 1681*T1^6*T2^7 + 
      8802*T1^7*T2^7 - 12942*T1^8*T2^7 + 6021*T1^9*T2^7 + 4194*T1^10*T2^7 - 
      3807*T1^11*T2^7 + 1004*T1^12*T2^7 + 288*T1^13*T2^7 - 180*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 55*T1^2*T2^8 + 728*T1^3*T2^8 - 
      1904*T1^4*T2^8 + 1008*T1^5*T2^8 + 5953*T1^6*T2^8 - 12942*T1^7*T2^8 + 
      5304*T1^8*T2^8 + 7570*T1^9*T2^8 - 14143*T1^10*T2^8 + 4832*T1^11*T2^8 + 
      536*T1^12*T2^8 - 1120*T1^13*T2^8 + 199*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 36*T1^2*T2^9 - 432*T1^3*T2^9 + 
      212*T1^4*T2^9 + 2225*T1^5*T2^9 - 6654*T1^6*T2^9 + 6021*T1^7*T2^9 + 
      7570*T1^8*T2^9 - 14174*T1^9*T2^9 + 10361*T1^10*T2^9 + 3438*T1^11*T2^9 - 
      4427*T1^12*T2^9 + 1542*T1^13*T2^9 + 216*T1^14*T2^9 - 252*T1^15*T2^9 - 
      30*T1^16*T2^9 - 18*T1^2*T2^10 + 108*T1^3*T2^10 + 404*T1^4*T2^10 - 
      1550*T1^5*T2^10 + 1278*T1^6*T2^10 + 4194*T1^7*T2^10 - 
      14143*T1^8*T2^10 + 10361*T1^9*T2^10 - 1207*T1^10*T2^10 - 
      8166*T1^11*T2^10 + 3054*T1^12*T2^10 + 610*T1^13*T2^10 - 
      1072*T1^14*T2^10 + 276*T1^15*T2^10 + 90*T1^16*T2^10 - 246*T1^4*T2^11 + 
      269*T1^5*T2^11 + 1034*T1^6*T2^11 - 3807*T1^7*T2^11 + 4832*T1^8*T2^11 + 
      3438*T1^9*T2^11 - 8166*T1^10*T2^11 + 7920*T1^11*T2^11 + 
      365*T1^12*T2^11 - 2186*T1^13*T2^11 + 1025*T1^14*T2^11 + 
      36*T1^15*T2^11 - 170*T1^16*T2^11 + 41*T1^4*T2^12 + 162*T1^5*T2^12 - 
      748*T1^6*T2^12 + 1004*T1^7*T2^12 + 536*T1^8*T2^12 - 4427*T1^9*T2^12 + 
      3054*T1^10*T2^12 + 365*T1^11*T2^12 - 4328*T1^12*T2^12 + 
      2364*T1^13*T2^12 - 244*T1^14*T2^12 - 414*T1^15*T2^12 + 
      205*T1^16*T2^12 - 68*T1^5*T2^13 + 84*T1^6*T2^13 + 288*T1^7*T2^13 - 
      1120*T1^8*T2^13 + 1542*T1^9*T2^13 + 610*T1^10*T2^13 - 
      2186*T1^11*T2^13 + 2364*T1^12*T2^13 - 142*T1^13*T2^13 - 
      792*T1^14*T2^13 + 588*T1^15*T2^13 - 170*T1^16*T2^13 + 54*T1^6*T2^14 - 
      180*T1^7*T2^14 + 199*T1^8*T2^14 + 216*T1^9*T2^14 - 1072*T1^10*T2^14 + 
      1025*T1^11*T2^14 - 244*T1^12*T2^14 - 792*T1^13*T2^14 + 
      811*T1^14*T2^14 - 396*T1^15*T2^14 + 90*T1^16*T2^14 - 24*T1^7*T2^15 + 
      114*T1^8*T2^15 - 252*T1^9*T2^15 + 276*T1^10*T2^15 + 36*T1^11*T2^15 - 
      414*T1^12*T2^15 + 588*T1^13*T2^15 - 396*T1^14*T2^15 + 156*T1^15*T2^15 - 
      30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 90*T1^10*T2^16 - 
      170*T1^11*T2^16 + 205*T1^12*T2^16 - 170*T1^13*T2^16 + 90*T1^14*T2^16 - 
      30*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 249] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-23 + 126*T1 - 308*T1^2 + 421*T1^3 - 308*T1^4 + 126*T1^5 - 23*T1^6 + 
      126*T2 - 608*T1*T2 + 1238*T1^2*T2 - 1212*T1^3*T2 + 196*T1^4*T2 + 
      402*T1^5*T2 - 322*T1^6*T2 + 82*T1^7*T2 - 308*T2^2 + 1238*T1*T2^2 - 
      1753*T1^2*T2^2 + 129*T1^3*T2^2 + 2851*T1^4*T2^2 - 2679*T1^5*T2^2 + 
      947*T1^6*T2^2 + 50*T1^7*T2^2 - 92*T1^8*T2^2 + 421*T2^3 - 1212*T1*T2^3 + 
      129*T1^2*T2^3 + 4185*T1^3*T2^3 - 7539*T1^4*T2^3 + 3033*T1^5*T2^3 + 
      1557*T1^6*T2^3 - 2004*T1^7*T2^3 + 636*T1^8*T2^3 - 23*T1^9*T2^3 - 
      308*T2^4 + 196*T1*T2^4 + 2851*T1^2*T2^4 - 7539*T1^3*T2^4 + 
      6389*T1^4*T2^4 + 4553*T1^5*T2^4 - 9375*T1^6*T2^4 + 4819*T1^7*T2^4 - 
      271*T1^8*T2^4 - 552*T1^9*T2^4 + 124*T1^10*T2^4 + 126*T2^5 + 
      402*T1*T2^5 - 2679*T1^2*T2^5 + 3033*T1^3*T2^5 + 4553*T1^4*T2^5 - 
      16612*T1^5*T2^5 + 14896*T1^6*T2^5 - 1630*T1^7*T2^5 - 3967*T1^8*T2^5 + 
      2154*T1^9*T2^5 - 170*T1^10*T2^5 - 94*T1^11*T2^5 - 23*T2^6 - 
      322*T1*T2^6 + 947*T1^2*T2^6 + 1557*T1^3*T2^6 - 9375*T1^4*T2^6 + 
      14896*T1^5*T2^6 - 5208*T1^6*T2^6 - 11176*T1^7*T2^6 + 9815*T1^8*T2^6 - 
      2301*T1^9*T2^6 - 813*T1^10*T2^6 + 382*T1^11*T2^6 + 25*T1^12*T2^6 + 
      82*T1*T2^7 + 50*T1^2*T2^7 - 2004*T1^3*T2^7 + 4819*T1^4*T2^7 - 
      1630*T1^5*T2^7 - 11176*T1^6*T2^7 + 20332*T1^7*T2^7 - 7813*T1^8*T2^7 - 
      2181*T1^9*T2^7 + 2829*T1^10*T2^7 - 522*T1^11*T2^7 - 138*T1^12*T2^7 - 
      92*T1^2*T2^8 + 636*T1^3*T2^8 - 271*T1^4*T2^8 - 3967*T1^5*T2^8 + 
      9815*T1^6*T2^8 - 7813*T1^7*T2^8 - 5949*T1^8*T2^8 + 8391*T1^9*T2^8 - 
      3393*T1^10*T2^8 - 112*T1^11*T2^8 + 340*T1^12*T2^8 - 23*T1^3*T2^9 - 
      552*T1^4*T2^9 + 2154*T1^5*T2^9 - 2301*T1^6*T2^9 - 2181*T1^7*T2^9 + 
      8391*T1^8*T2^9 - 4929*T1^9*T2^9 + 21*T1^10*T2^9 + 1296*T1^11*T2^9 - 
      467*T1^12*T2^9 + 124*T1^4*T2^10 - 170*T1^5*T2^10 - 813*T1^6*T2^10 + 
      2829*T1^7*T2^10 - 3393*T1^8*T2^10 + 21*T1^9*T2^10 + 1887*T1^10*T2^10 - 
      1358*T1^11*T2^10 + 340*T1^12*T2^10 - 94*T1^5*T2^11 + 382*T1^6*T2^11 - 
      522*T1^7*T2^11 - 112*T1^8*T2^11 + 1296*T1^9*T2^11 - 1358*T1^10*T2^11 + 
      668*T1^11*T2^11 - 138*T1^12*T2^11 + 25*T1^6*T2^12 - 138*T1^7*T2^12 + 
      340*T1^8*T2^12 - 467*T1^9*T2^12 + 340*T1^10*T2^12 - 138*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 250] -> 
  {(1 - 5*T + 11*T^2 - 16*T^3 + 19*T^4 - 16*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 96*T1^3 - 114*T1^4 + 96*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 205*T1^3*T2 + 170*T1^4*T2 - 
     5*T1^5*T2 - 70*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 105*T1^3*T2^2 + 276*T1^4*T2^2 - 
     628*T1^5*T2^2 + 452*T1^6*T2^2 - 347*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 96*T2^3 - 205*T1*T2^3 - 105*T1^2*T2^3 + 
     465*T1^3*T2^3 - 438*T1^4*T2^3 + 697*T1^5*T2^3 + 68*T1^6*T2^3 - 
     105*T1^7*T2^3 + 401*T1^8*T2^3 - 303*T1^9*T2^3 - 20*T1^10*T2^3 + 
     48*T1^11*T2^3 - 114*T2^4 + 170*T1*T2^4 + 276*T1^2*T2^4 - 438*T1^3*T2^4 + 
     66*T1^4*T2^4 - 328*T1^5*T2^4 - 714*T1^6*T2^4 + 116*T1^7*T2^4 - 
     326*T1^8*T2^4 - 54*T1^9*T2^4 + 312*T1^10*T2^4 - 50*T1^11*T2^4 - 
     38*T1^12*T2^4 + 96*T2^5 - 5*T1*T2^5 - 628*T1^2*T2^5 + 697*T1^3*T2^5 - 
     328*T1^4*T2^5 + 809*T1^5*T2^5 + 351*T1^6*T2^5 + 606*T1^7*T2^5 + 
     81*T1^8*T2^5 + 181*T1^9*T2^5 - 102*T1^10*T2^5 - 259*T1^11*T2^5 + 
     110*T1^12*T2^5 + 16*T1^13*T2^5 - 66*T2^6 - 70*T1*T2^6 + 452*T1^2*T2^6 + 
     68*T1^3*T2^6 - 714*T1^4*T2^6 + 351*T1^5*T2^6 - 1530*T1^6*T2^6 + 
     268*T1^7*T2^6 - 1046*T1^8*T2^6 + 457*T1^9*T2^6 - 400*T1^10*T2^6 + 
     442*T1^11*T2^6 - 4*T1^12*T2^6 - 80*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     347*T1^2*T2^7 - 105*T1^3*T2^7 + 116*T1^4*T2^7 + 606*T1^5*T2^7 + 
     268*T1^6*T2^7 + 844*T1^7*T2^7 + 270*T1^8*T2^7 + 94*T1^9*T2^7 + 
     53*T1^10*T2^7 - 133*T1^11*T2^7 - 234*T1^12*T2^7 + 115*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     401*T1^3*T2^8 - 326*T1^4*T2^8 + 81*T1^5*T2^8 - 1046*T1^6*T2^8 + 
     270*T1^7*T2^8 - 1116*T1^8*T2^8 + 502*T1^9*T2^8 - 278*T1^10*T2^8 + 
     179*T1^11*T2^8 + 190*T1^12*T2^8 + 15*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     303*T1^3*T2^9 - 54*T1^4*T2^9 + 181*T1^5*T2^9 + 457*T1^6*T2^9 + 
     94*T1^7*T2^9 + 502*T1^8*T2^9 - 72*T1^9*T2^9 - 80*T1^10*T2^9 - 
     96*T1^11*T2^9 - 68*T1^12*T2^9 - 183*T1^13*T2^9 + 159*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 - 20*T1^3*T2^10 + 
     312*T1^4*T2^10 - 102*T1^5*T2^10 - 400*T1^6*T2^10 + 53*T1^7*T2^10 - 
     278*T1^8*T2^10 - 80*T1^9*T2^10 + 206*T1^10*T2^10 + 159*T1^11*T2^10 - 
     86*T1^12*T2^10 + 272*T1^13*T2^10 - 144*T1^14*T2^10 - 30*T1^15*T2^10 + 
     22*T1^16*T2^10 + 48*T1^3*T2^11 - 50*T1^4*T2^11 - 259*T1^5*T2^11 + 
     442*T1^6*T2^11 - 133*T1^7*T2^11 + 179*T1^8*T2^11 - 96*T1^9*T2^11 + 
     159*T1^10*T2^11 - 549*T1^11*T2^11 + 376*T1^12*T2^11 - 357*T1^13*T2^11 + 
     110*T1^14*T2^11 + 65*T1^15*T2^11 - 32*T1^16*T2^11 - 38*T1^4*T2^12 + 
     110*T1^5*T2^12 - 4*T1^6*T2^12 - 234*T1^7*T2^12 + 190*T1^8*T2^12 - 
     68*T1^9*T2^12 - 86*T1^10*T2^12 + 376*T1^11*T2^12 - 202*T1^12*T2^12 + 
     150*T1^13*T2^12 + 32*T1^14*T2^12 - 110*T1^15*T2^12 + 38*T1^16*T2^12 + 
     16*T1^5*T2^13 - 80*T1^6*T2^13 + 115*T1^7*T2^13 + 15*T1^8*T2^13 - 
     183*T1^9*T2^13 + 272*T1^10*T2^13 - 357*T1^11*T2^13 + 150*T1^12*T2^13 - 
     49*T1^13*T2^13 - 83*T1^14*T2^13 + 105*T1^15*T2^13 - 32*T1^16*T2^13 + 
     25*T1^7*T2^14 - 102*T1^8*T2^14 + 159*T1^9*T2^14 - 144*T1^10*T2^14 + 
     110*T1^11*T2^14 + 32*T1^12*T2^14 - 83*T1^13*T2^14 + 118*T1^14*T2^14 - 
     85*T1^15*T2^14 + 22*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     5*T1^9*T2^15 - 30*T1^10*T2^15 + 65*T1^11*T2^15 - 110*T1^12*T2^15 + 
     105*T1^13*T2^15 - 85*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 22*T1^10*T2^16 - 32*T1^11*T2^16 + 
     38*T1^12*T2^16 - 32*T1^13*T2^16 + 22*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 251] -> 
  {(1 - 6*T + 16*T^2 - 27*T^3 + 33*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 108*T1^3 - 132*T1^4 + 108*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 360*T1^3*T2 + 
     306*T1^4*T2 - 54*T1^5*T2 - 102*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 409*T1^2*T2^2 + 195*T1^3*T2^2 + 
     290*T1^4*T2^2 - 971*T1^5*T2^2 + 834*T1^6*T2^2 - 477*T1^7*T2^2 + 
     71*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 108*T2^3 - 360*T1*T2^3 + 
     195*T1^2*T2^3 + 563*T1^3*T2^3 - 1311*T1^4*T2^3 + 1842*T1^5*T2^3 - 
     435*T1^6*T2^3 - 342*T1^7*T2^3 + 719*T1^8*T2^3 - 429*T1^9*T2^3 + 
     30*T1^10*T2^3 + 27*T1^11*T2^3 - 132*T2^4 + 306*T1*T2^4 + 290*T1^2*T2^4 - 
     1311*T1^3*T2^4 + 1567*T1^4*T2^4 - 1189*T1^5*T2^4 - 1601*T1^6*T2^4 + 
     1547*T1^7*T2^4 - 1013*T1^8*T2^4 - 15*T1^9*T2^4 + 458*T1^10*T2^4 - 
     162*T1^11*T2^4 + 108*T2^5 - 54*T1*T2^5 - 971*T1^2*T2^5 + 
     1842*T1^3*T2^5 - 1189*T1^4*T2^5 + 27*T1^5*T2^5 + 2797*T1^6*T2^5 - 
     551*T1^7*T2^5 - 783*T1^8*T2^5 + 1484*T1^9*T2^5 - 993*T1^10*T2^5 + 
     T1^11*T2^5 + 162*T1^12*T2^5 - 27*T1^13*T2^5 - 64*T2^6 - 102*T1*T2^6 + 
     834*T1^2*T2^6 - 435*T1^3*T2^6 - 1601*T1^4*T2^6 + 2797*T1^5*T2^6 - 
     3634*T1^6*T2^6 - 1048*T1^7*T2^6 + 2150*T1^8*T2^6 - 1235*T1^9*T2^6 - 
     89*T1^10*T2^6 + 1005*T1^11*T2^6 - 462*T1^12*T2^6 - 30*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 477*T1^2*T2^7 - 342*T1^3*T2^7 + 
     1547*T1^4*T2^7 - 551*T1^5*T2^7 - 1048*T1^6*T2^7 + 4925*T1^7*T2^7 - 
     3073*T1^8*T2^7 - 511*T1^9*T2^7 + 1429*T1^10*T2^7 - 1378*T1^11*T2^7 - 
     3*T1^12*T2^7 + 435*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 
     84*T1*T2^8 + 71*T1^2*T2^8 + 719*T1^3*T2^8 - 1013*T1^4*T2^8 - 
     783*T1^5*T2^8 + 2150*T1^6*T2^8 - 3073*T1^7*T2^8 - 204*T1^8*T2^8 + 
     3401*T1^9*T2^8 - 1404*T1^10*T2^8 + 351*T1^11*T2^8 + 1055*T1^12*T2^8 - 
     727*T1^13*T2^8 - 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 429*T1^3*T2^9 - 15*T1^4*T2^9 + 
     1484*T1^5*T2^9 - 1235*T1^6*T2^9 - 511*T1^7*T2^9 + 3401*T1^8*T2^9 - 
     4597*T1^9*T2^9 + 26*T1^10*T2^9 + 745*T1^11*T2^9 - 1441*T1^12*T2^9 + 
     324*T1^13*T2^9 + 483*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 30*T1^3*T2^10 + 458*T1^4*T2^10 - 993*T1^5*T2^10 - 
     89*T1^6*T2^10 + 1429*T1^7*T2^10 - 1404*T1^8*T2^10 + 26*T1^9*T2^10 + 
     4380*T1^10*T2^10 - 2603*T1^11*T2^10 + 1423*T1^12*T2^10 + 
     447*T1^13*T2^10 - 838*T1^14*T2^10 + 102*T1^15*T2^10 + 64*T1^16*T2^10 + 
     27*T1^3*T2^11 - 162*T1^4*T2^11 + T1^5*T2^11 + 1005*T1^6*T2^11 - 
     1378*T1^7*T2^11 + 351*T1^8*T2^11 + 745*T1^9*T2^11 - 2603*T1^10*T2^11 - 
     459*T1^11*T2^11 + 1295*T1^12*T2^11 - 1830*T1^13*T2^11 + 
     973*T1^14*T2^11 + 54*T1^15*T2^11 - 108*T1^16*T2^11 + 162*T1^5*T2^12 - 
     462*T1^6*T2^12 - 3*T1^7*T2^12 + 1055*T1^8*T2^12 - 1441*T1^9*T2^12 + 
     1423*T1^10*T2^12 + 1295*T1^11*T2^12 - 1525*T1^12*T2^12 + 
     1293*T1^13*T2^12 - 294*T1^14*T2^12 - 306*T1^15*T2^12 + 132*T1^16*T2^12 - 
     27*T1^5*T2^13 - 30*T1^6*T2^13 + 435*T1^7*T2^13 - 727*T1^8*T2^13 + 
     324*T1^9*T2^13 + 447*T1^10*T2^13 - 1830*T1^11*T2^13 + 1293*T1^12*T2^13 - 
     571*T1^13*T2^13 - 189*T1^14*T2^13 + 360*T1^15*T2^13 - 108*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 73*T1^8*T2^14 + 483*T1^9*T2^14 - 
     838*T1^10*T2^14 + 973*T1^11*T2^14 - 294*T1^12*T2^14 - 189*T1^13*T2^14 + 
     407*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 102*T1^10*T2^15 + 54*T1^11*T2^15 - 
     306*T1^12*T2^15 + 360*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     108*T1^11*T2^16 + 132*T1^12*T2^16 - 108*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 252] -> 
  {-((1 - 6*T + 16*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 135*T1^3 - 155*T1^4 + 135*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      426*T1^3*T2 + 282*T1^4*T2 - 66*T1^5*T2 - 168*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 + 
      137*T1^3*T2^2 + 655*T1^4*T2^2 - 1029*T1^5*T2^2 + 1135*T1^6*T2^2 - 
      535*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      135*T2^3 - 426*T1*T2^3 + 137*T1^2*T2^3 + 863*T1^3*T2^3 - 
      1951*T1^4*T2^3 + 1384*T1^5*T2^3 - 701*T1^6*T2^3 - 820*T1^7*T2^3 + 
      1019*T1^8*T2^3 - 487*T1^9*T2^3 - 36*T1^10*T2^3 + 54*T1^11*T2^3 - 
      155*T2^4 + 282*T1*T2^4 + 655*T1^2*T2^4 - 1951*T1^3*T2^4 + 
      2263*T1^4*T2^4 + 53*T1^5*T2^4 - 951*T1^6*T2^4 + 2309*T1^7*T2^4 - 
      821*T1^8*T2^4 - 439*T1^9*T2^4 + 695*T1^10*T2^4 - 138*T1^11*T2^4 - 
      31*T1^12*T2^4 + 135*T2^5 - 66*T1*T2^5 - 1029*T1^2*T2^5 + 
      1384*T1^3*T2^5 + 53*T1^4*T2^5 - 3213*T1^5*T2^5 + 2240*T1^6*T2^5 - 
      1792*T1^7*T2^5 - 1503*T1^8*T2^5 + 1988*T1^9*T2^5 - 875*T1^10*T2^5 - 
      273*T1^11*T2^5 + 186*T1^12*T2^5 - 80*T2^6 - 168*T1*T2^6 + 
      1135*T1^2*T2^6 - 701*T1^3*T2^6 - 951*T1^4*T2^6 + 2240*T1^5*T2^6 + 
      1399*T1^6*T2^6 - 2263*T1^7*T2^6 + 4111*T1^8*T2^6 - 1744*T1^9*T2^6 - 
      591*T1^10*T2^6 + 1123*T1^11*T2^6 - 225*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 535*T1^2*T2^7 - 820*T1^3*T2^7 + 
      2309*T1^4*T2^7 - 1792*T1^5*T2^7 - 2263*T1^6*T2^7 + 1697*T1^7*T2^7 - 
      1387*T1^8*T2^7 - 1456*T1^9*T2^7 + 2336*T1^10*T2^7 - 910*T1^11*T2^7 - 
      427*T1^12*T2^7 + 377*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1019*T1^3*T2^8 - 821*T1^4*T2^8 - 
      1503*T1^5*T2^8 + 4111*T1^6*T2^8 - 1387*T1^7*T2^8 - 576*T1^8*T2^8 + 
      2171*T1^9*T2^8 - 1491*T1^10*T2^8 - 801*T1^11*T2^8 + 1231*T1^12*T2^8 - 
      427*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 487*T1^3*T2^9 - 439*T1^4*T2^9 + 
      1988*T1^5*T2^9 - 1744*T1^6*T2^9 - 1456*T1^7*T2^9 + 2171*T1^8*T2^9 - 
      913*T1^9*T2^9 - 649*T1^10*T2^9 + 2384*T1^11*T2^9 - 1231*T1^12*T2^9 - 
      46*T1^13*T2^9 + 425*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 36*T1^3*T2^10 + 695*T1^4*T2^10 - 875*T1^5*T2^10 - 
      591*T1^6*T2^10 + 2336*T1^7*T2^10 - 1491*T1^8*T2^10 - 649*T1^9*T2^10 + 
      1221*T1^10*T2^10 - 1648*T1^11*T2^10 - 231*T1^12*T2^10 + 
      949*T1^13*T2^10 - 665*T1^14*T2^10 + 36*T1^15*T2^10 + 48*T1^16*T2^10 + 
      54*T1^3*T2^11 - 138*T1^4*T2^11 - 273*T1^5*T2^11 + 1123*T1^6*T2^11 - 
      910*T1^7*T2^11 - 801*T1^8*T2^11 + 2384*T1^9*T2^11 - 1648*T1^10*T2^11 + 
      909*T1^11*T2^11 + 1025*T1^12*T2^11 - 1136*T1^13*T2^11 + 
      483*T1^14*T2^11 + 114*T1^15*T2^11 - 81*T1^16*T2^11 - 31*T1^4*T2^12 + 
      186*T1^5*T2^12 - 225*T1^6*T2^12 - 427*T1^7*T2^12 + 1231*T1^8*T2^12 - 
      1231*T1^9*T2^12 - 231*T1^10*T2^12 + 1025*T1^11*T2^12 - 
      1853*T1^12*T2^12 + 1085*T1^13*T2^12 - 185*T1^14*T2^12 - 
      234*T1^15*T2^12 + 93*T1^16*T2^12 - 96*T1^6*T2^13 + 377*T1^7*T2^13 - 
      427*T1^8*T2^13 - 46*T1^9*T2^13 + 949*T1^10*T2^13 - 1136*T1^11*T2^13 + 
      1085*T1^12*T2^13 - 271*T1^13*T2^13 - 247*T1^14*T2^13 + 
      294*T1^15*T2^13 - 81*T1^16*T2^13 + 16*T1^6*T2^14 - 24*T1^7*T2^14 - 
      127*T1^8*T2^14 + 425*T1^9*T2^14 - 665*T1^10*T2^14 + 483*T1^11*T2^14 - 
      185*T1^12*T2^14 - 247*T1^13*T2^14 + 353*T1^14*T2^14 - 216*T1^15*T2^14 + 
      48*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 84*T1^9*T2^15 + 
      36*T1^10*T2^15 + 114*T1^11*T2^15 - 234*T1^12*T2^15 + 294*T1^13*T2^15 - 
      216*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 48*T1^10*T2^16 - 81*T1^11*T2^16 + 93*T1^12*T2^16 - 
      81*T1^13*T2^16 + 48*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 253] -> 
  {(1 - 6*T + 16*T^2 - 27*T^3 + 33*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 108*T1^3 - 132*T1^4 + 108*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 360*T1^3*T2 + 
     306*T1^4*T2 - 54*T1^5*T2 - 102*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 409*T1^2*T2^2 + 195*T1^3*T2^2 + 
     289*T1^4*T2^2 - 969*T1^5*T2^2 + 833*T1^6*T2^2 - 477*T1^7*T2^2 + 
     71*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 108*T2^3 - 360*T1*T2^3 + 
     195*T1^2*T2^3 + 565*T1^3*T2^3 - 1313*T1^4*T2^3 + 1842*T1^5*T2^3 - 
     435*T1^6*T2^3 - 344*T1^7*T2^3 + 721*T1^8*T2^3 - 429*T1^9*T2^3 + 
     30*T1^10*T2^3 + 27*T1^11*T2^3 - 132*T2^4 + 306*T1*T2^4 + 289*T1^2*T2^4 - 
     1313*T1^3*T2^4 + 1569*T1^4*T2^4 - 1189*T1^5*T2^4 - 1599*T1^6*T2^4 + 
     1547*T1^7*T2^4 - 1011*T1^8*T2^4 - 17*T1^9*T2^4 + 457*T1^10*T2^4 - 
     162*T1^11*T2^4 + 108*T2^5 - 54*T1*T2^5 - 969*T1^2*T2^5 + 
     1842*T1^3*T2^5 - 1189*T1^4*T2^5 + 27*T1^5*T2^5 + 2795*T1^6*T2^5 - 
     553*T1^7*T2^5 - 783*T1^8*T2^5 + 1484*T1^9*T2^5 - 993*T1^10*T2^5 + 
     3*T1^11*T2^5 + 162*T1^12*T2^5 - 27*T1^13*T2^5 - 64*T2^6 - 102*T1*T2^6 + 
     833*T1^2*T2^6 - 435*T1^3*T2^6 - 1599*T1^4*T2^6 + 2795*T1^5*T2^6 - 
     3634*T1^6*T2^6 - 1046*T1^7*T2^6 + 2150*T1^8*T2^6 - 1237*T1^9*T2^6 - 
     87*T1^10*T2^6 + 1005*T1^11*T2^6 - 463*T1^12*T2^6 - 30*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 477*T1^2*T2^7 - 344*T1^3*T2^7 + 
     1547*T1^4*T2^7 - 553*T1^5*T2^7 - 1046*T1^6*T2^7 + 4927*T1^7*T2^7 - 
     3071*T1^8*T2^7 - 509*T1^9*T2^7 + 1427*T1^10*T2^7 - 1378*T1^11*T2^7 - 
     5*T1^12*T2^7 + 435*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 
     84*T1*T2^8 + 71*T1^2*T2^8 + 721*T1^3*T2^8 - 1011*T1^4*T2^8 - 
     783*T1^5*T2^8 + 2150*T1^6*T2^8 - 3071*T1^7*T2^8 - 216*T1^8*T2^8 + 
     3403*T1^9*T2^8 - 1404*T1^10*T2^8 + 351*T1^11*T2^8 + 1057*T1^12*T2^8 - 
     725*T1^13*T2^8 - 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 429*T1^3*T2^9 - 17*T1^4*T2^9 + 
     1484*T1^5*T2^9 - 1237*T1^6*T2^9 - 509*T1^7*T2^9 + 3403*T1^8*T2^9 - 
     4595*T1^9*T2^9 + 28*T1^10*T2^9 + 743*T1^11*T2^9 - 1441*T1^12*T2^9 + 
     322*T1^13*T2^9 + 483*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 30*T1^3*T2^10 + 457*T1^4*T2^10 - 993*T1^5*T2^10 - 
     87*T1^6*T2^10 + 1427*T1^7*T2^10 - 1404*T1^8*T2^10 + 28*T1^9*T2^10 + 
     4380*T1^10*T2^10 - 2605*T1^11*T2^10 + 1425*T1^12*T2^10 + 
     447*T1^13*T2^10 - 839*T1^14*T2^10 + 102*T1^15*T2^10 + 64*T1^16*T2^10 + 
     27*T1^3*T2^11 - 162*T1^4*T2^11 + 3*T1^5*T2^11 + 1005*T1^6*T2^11 - 
     1378*T1^7*T2^11 + 351*T1^8*T2^11 + 743*T1^9*T2^11 - 2605*T1^10*T2^11 - 
     459*T1^11*T2^11 + 1295*T1^12*T2^11 - 1830*T1^13*T2^11 + 
     975*T1^14*T2^11 + 54*T1^15*T2^11 - 108*T1^16*T2^11 + 162*T1^5*T2^12 - 
     463*T1^6*T2^12 - 5*T1^7*T2^12 + 1057*T1^8*T2^12 - 1441*T1^9*T2^12 + 
     1425*T1^10*T2^12 + 1295*T1^11*T2^12 - 1523*T1^12*T2^12 + 
     1291*T1^13*T2^12 - 295*T1^14*T2^12 - 306*T1^15*T2^12 + 132*T1^16*T2^12 - 
     27*T1^5*T2^13 - 30*T1^6*T2^13 + 435*T1^7*T2^13 - 725*T1^8*T2^13 + 
     322*T1^9*T2^13 + 447*T1^10*T2^13 - 1830*T1^11*T2^13 + 1291*T1^12*T2^13 - 
     569*T1^13*T2^13 - 189*T1^14*T2^13 + 360*T1^15*T2^13 - 108*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 73*T1^8*T2^14 + 483*T1^9*T2^14 - 
     839*T1^10*T2^14 + 975*T1^11*T2^14 - 295*T1^12*T2^14 - 189*T1^13*T2^14 + 
     407*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 102*T1^10*T2^15 + 54*T1^11*T2^15 - 
     306*T1^12*T2^15 + 360*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     108*T1^11*T2^16 + 132*T1^12*T2^16 - 108*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 254] -> 
  {-((1 - 6*T + 16*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 135*T1^3 - 155*T1^4 + 135*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      426*T1^3*T2 + 282*T1^4*T2 - 66*T1^5*T2 - 168*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 + 
      137*T1^3*T2^2 + 654*T1^4*T2^2 - 1027*T1^5*T2^2 + 1134*T1^6*T2^2 - 
      535*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      135*T2^3 - 426*T1*T2^3 + 137*T1^2*T2^3 + 865*T1^3*T2^3 - 
      1953*T1^4*T2^3 + 1384*T1^5*T2^3 - 701*T1^6*T2^3 - 822*T1^7*T2^3 + 
      1021*T1^8*T2^3 - 487*T1^9*T2^3 - 36*T1^10*T2^3 + 54*T1^11*T2^3 - 
      155*T2^4 + 282*T1*T2^4 + 654*T1^2*T2^4 - 1953*T1^3*T2^4 + 
      2265*T1^4*T2^4 + 53*T1^5*T2^4 - 949*T1^6*T2^4 + 2309*T1^7*T2^4 - 
      819*T1^8*T2^4 - 441*T1^9*T2^4 + 694*T1^10*T2^4 - 138*T1^11*T2^4 - 
      31*T1^12*T2^4 + 135*T2^5 - 66*T1*T2^5 - 1027*T1^2*T2^5 + 
      1384*T1^3*T2^5 + 53*T1^4*T2^5 - 3213*T1^5*T2^5 + 2238*T1^6*T2^5 - 
      1794*T1^7*T2^5 - 1503*T1^8*T2^5 + 1988*T1^9*T2^5 - 875*T1^10*T2^5 - 
      271*T1^11*T2^5 + 186*T1^12*T2^5 - 80*T2^6 - 168*T1*T2^6 + 
      1134*T1^2*T2^6 - 701*T1^3*T2^6 - 949*T1^4*T2^6 + 2238*T1^5*T2^6 + 
      1399*T1^6*T2^6 - 2261*T1^7*T2^6 + 4111*T1^8*T2^6 - 1746*T1^9*T2^6 - 
      589*T1^10*T2^6 + 1123*T1^11*T2^6 - 226*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 535*T1^2*T2^7 - 822*T1^3*T2^7 + 
      2309*T1^4*T2^7 - 1794*T1^5*T2^7 - 2261*T1^6*T2^7 + 1699*T1^7*T2^7 - 
      1385*T1^8*T2^7 - 1454*T1^9*T2^7 + 2334*T1^10*T2^7 - 910*T1^11*T2^7 - 
      429*T1^12*T2^7 + 377*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1021*T1^3*T2^8 - 819*T1^4*T2^8 - 
      1503*T1^5*T2^8 + 4111*T1^6*T2^8 - 1385*T1^7*T2^8 - 588*T1^8*T2^8 + 
      2173*T1^9*T2^8 - 1491*T1^10*T2^8 - 801*T1^11*T2^8 + 1233*T1^12*T2^8 - 
      425*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 487*T1^3*T2^9 - 441*T1^4*T2^9 + 
      1988*T1^5*T2^9 - 1746*T1^6*T2^9 - 1454*T1^7*T2^9 + 2173*T1^8*T2^9 - 
      911*T1^9*T2^9 - 647*T1^10*T2^9 + 2382*T1^11*T2^9 - 1231*T1^12*T2^9 - 
      48*T1^13*T2^9 + 425*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 36*T1^3*T2^10 + 694*T1^4*T2^10 - 875*T1^5*T2^10 - 
      589*T1^6*T2^10 + 2334*T1^7*T2^10 - 1491*T1^8*T2^10 - 647*T1^9*T2^10 + 
      1221*T1^10*T2^10 - 1650*T1^11*T2^10 - 229*T1^12*T2^10 + 
      949*T1^13*T2^10 - 666*T1^14*T2^10 + 36*T1^15*T2^10 + 48*T1^16*T2^10 + 
      54*T1^3*T2^11 - 138*T1^4*T2^11 - 271*T1^5*T2^11 + 1123*T1^6*T2^11 - 
      910*T1^7*T2^11 - 801*T1^8*T2^11 + 2382*T1^9*T2^11 - 1650*T1^10*T2^11 + 
      909*T1^11*T2^11 + 1025*T1^12*T2^11 - 1136*T1^13*T2^11 + 
      485*T1^14*T2^11 + 114*T1^15*T2^11 - 81*T1^16*T2^11 - 31*T1^4*T2^12 + 
      186*T1^5*T2^12 - 226*T1^6*T2^12 - 429*T1^7*T2^12 + 1233*T1^8*T2^12 - 
      1231*T1^9*T2^12 - 229*T1^10*T2^12 + 1025*T1^11*T2^12 - 
      1851*T1^12*T2^12 + 1083*T1^13*T2^12 - 186*T1^14*T2^12 - 
      234*T1^15*T2^12 + 93*T1^16*T2^12 - 96*T1^6*T2^13 + 377*T1^7*T2^13 - 
      425*T1^8*T2^13 - 48*T1^9*T2^13 + 949*T1^10*T2^13 - 1136*T1^11*T2^13 + 
      1083*T1^12*T2^13 - 269*T1^13*T2^13 - 247*T1^14*T2^13 + 
      294*T1^15*T2^13 - 81*T1^16*T2^13 + 16*T1^6*T2^14 - 24*T1^7*T2^14 - 
      127*T1^8*T2^14 + 425*T1^9*T2^14 - 666*T1^10*T2^14 + 485*T1^11*T2^14 - 
      186*T1^12*T2^14 - 247*T1^13*T2^14 + 353*T1^14*T2^14 - 216*T1^15*T2^14 + 
      48*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 84*T1^9*T2^15 + 
      36*T1^10*T2^15 + 114*T1^11*T2^15 - 234*T1^12*T2^15 + 294*T1^13*T2^15 - 
      216*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 48*T1^10*T2^16 - 81*T1^11*T2^16 + 93*T1^12*T2^16 - 
      81*T1^13*T2^16 + 48*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 255] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 18*T1 - 51*T1^2 + 90*T1^3 - 105*T1^4 + 90*T1^5 - 51*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 234*T1^2*T2 - 336*T1^3*T2 + 
      270*T1^4*T2 - 120*T1^5*T2 - 54*T1^6*T2 + 96*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 51*T2^2 + 234*T1*T2^2 - 452*T1^2*T2^2 + 413*T1^3*T2^2 + 
      65*T1^4*T2^2 - 450*T1^5*T2^2 + 677*T1^6*T2^2 - 403*T1^7*T2^2 + 
      92*T1^8*T2^2 + 30*T1^9*T2^2 - 17*T1^10*T2^2 + 90*T2^3 - 336*T1*T2^3 + 
      413*T1^2*T2^3 + 114*T1^3*T2^3 - 1137*T1^4*T2^3 + 1323*T1^5*T2^3 - 
      1077*T1^6*T2^3 - 33*T1^7*T2^3 + 558*T1^8*T2^3 - 403*T1^9*T2^3 + 
      102*T1^10*T2^3 - 105*T2^4 + 270*T1*T2^4 + 65*T1^2*T2^4 - 
      1137*T1^3*T2^4 + 2160*T1^4*T2^4 - 1204*T1^5*T2^4 - 60*T1^6*T2^4 + 
      1916*T1^7*T2^4 - 1720*T1^8*T2^4 + 423*T1^9*T2^4 + 285*T1^10*T2^4 - 
      210*T1^11*T2^4 + 35*T1^12*T2^4 + 90*T2^5 - 120*T1*T2^5 - 
      450*T1^2*T2^5 + 1323*T1^3*T2^5 - 1204*T1^4*T2^5 - 1420*T1^5*T2^5 + 
      3077*T1^6*T2^5 - 3913*T1^7*T2^5 + 1370*T1^8*T2^5 + 1346*T1^9*T2^5 - 
      1317*T1^10*T2^5 + 270*T1^11*T2^5 + 150*T1^12*T2^5 - 60*T1^13*T2^5 - 
      51*T2^6 - 54*T1*T2^6 + 677*T1^2*T2^6 - 1077*T1^3*T2^6 - 60*T1^4*T2^6 + 
      3077*T1^5*T2^6 - 3427*T1^6*T2^6 + 1717*T1^7*T2^6 + 2345*T1^8*T2^6 - 
      4063*T1^9*T2^6 + 950*T1^10*T2^6 + 963*T1^11*T2^6 - 719*T1^12*T2^6 + 
      54*T1^13*T2^6 + 51*T1^14*T2^6 + 18*T2^7 + 96*T1*T2^7 - 403*T1^2*T2^7 - 
      33*T1^3*T2^7 + 1916*T1^4*T2^7 - 3913*T1^5*T2^7 + 1717*T1^6*T2^7 + 
      2556*T1^7*T2^7 - 5220*T1^8*T2^7 + 3433*T1^9*T2^7 + 2777*T1^10*T2^7 - 
      2914*T1^11*T2^7 + 687*T1^12*T2^7 + 413*T1^13*T2^7 - 162*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 92*T1^2*T2^8 + 558*T1^3*T2^8 - 
      1720*T1^4*T2^8 + 1370*T1^5*T2^8 + 2345*T1^6*T2^8 - 5220*T1^7*T2^8 + 
      2088*T1^8*T2^8 + 2844*T1^9*T2^8 - 7895*T1^10*T2^8 + 2810*T1^11*T2^8 + 
      932*T1^12*T2^8 - 1146*T1^13*T2^8 + 88*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 30*T1^2*T2^9 - 403*T1^3*T2^9 + 
      423*T1^4*T2^9 + 1346*T1^5*T2^9 - 4063*T1^6*T2^9 + 3433*T1^7*T2^9 + 
      2844*T1^8*T2^9 - 4932*T1^9*T2^9 + 5149*T1^10*T2^9 + 2627*T1^11*T2^9 - 
      3484*T1^12*T2^9 + 1143*T1^13*T2^9 + 413*T1^14*T2^9 - 228*T1^15*T2^9 - 
      30*T1^16*T2^9 - 17*T1^2*T2^10 + 102*T1^3*T2^10 + 285*T1^4*T2^10 - 
      1317*T1^5*T2^10 + 950*T1^6*T2^10 + 2777*T1^7*T2^10 - 7895*T1^8*T2^10 + 
      5149*T1^9*T2^10 - 2123*T1^10*T2^10 - 4363*T1^11*T2^10 + 
      1960*T1^12*T2^10 + 723*T1^13*T2^10 - 1111*T1^14*T2^10 + 
      210*T1^15*T2^10 + 85*T1^16*T2^10 - 210*T1^4*T2^11 + 270*T1^5*T2^11 + 
      963*T1^6*T2^11 - 2914*T1^7*T2^11 + 2810*T1^8*T2^11 + 2627*T1^9*T2^11 - 
      4363*T1^10*T2^11 + 5600*T1^11*T2^11 - 364*T1^12*T2^11 - 
      1677*T1^13*T2^11 + 990*T1^14*T2^11 + 60*T1^15*T2^11 - 150*T1^16*T2^11 + 
      35*T1^4*T2^12 + 150*T1^5*T2^12 - 719*T1^6*T2^12 + 687*T1^7*T2^12 + 
      932*T1^8*T2^12 - 3484*T1^9*T2^12 + 1960*T1^10*T2^12 - 364*T1^11*T2^12 - 
      2948*T1^12*T2^12 + 2247*T1^13*T2^12 - 499*T1^14*T2^12 - 
      330*T1^15*T2^12 + 175*T1^16*T2^12 - 60*T1^5*T2^13 + 54*T1^6*T2^13 + 
      413*T1^7*T2^13 - 1146*T1^8*T2^13 + 1143*T1^9*T2^13 + 723*T1^10*T2^13 - 
      1677*T1^11*T2^13 + 2247*T1^12*T2^13 - 702*T1^13*T2^13 - 
      403*T1^14*T2^13 + 492*T1^15*T2^13 - 150*T1^16*T2^13 + 51*T1^6*T2^14 - 
      162*T1^7*T2^14 + 88*T1^8*T2^14 + 413*T1^9*T2^14 - 1111*T1^10*T2^14 + 
      990*T1^11*T2^14 - 499*T1^12*T2^14 - 403*T1^13*T2^14 + 632*T1^14*T2^14 - 
      366*T1^15*T2^14 + 85*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 
      228*T1^9*T2^15 + 210*T1^10*T2^15 + 60*T1^11*T2^15 - 330*T1^12*T2^15 + 
      492*T1^13*T2^15 - 366*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 
      5*T1^8*T2^16 - 30*T1^9*T2^16 + 85*T1^10*T2^16 - 150*T1^11*T2^16 + 
      175*T1^12*T2^16 - 150*T1^13*T2^16 + 85*T1^14*T2^16 - 30*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 256] -> 
  {-((2 - 12*T + 31*T^2 - 43*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-23 + 138*T1 - 356*T1^2 + 493*T1^3 - 356*T1^4 + 138*T1^5 - 23*T1^6 + 
      138*T2 - 738*T1*T2 + 1596*T1^2*T2 - 1566*T1^3*T2 + 210*T1^4*T2 + 
      564*T1^5*T2 - 402*T1^6*T2 + 90*T1^7*T2 - 356*T2^2 + 1596*T1*T2^2 - 
      2372*T1^2*T2^2 - 86*T1^3*T2^2 + 4378*T1^4*T2^2 - 3930*T1^5*T2^2 + 
      1224*T1^6*T2^2 + 108*T1^7*T2^2 - 108*T1^8*T2^2 + 493*T2^3 - 
      1566*T1*T2^3 - 86*T1^2*T2^3 + 7034*T1^3*T2^3 - 11932*T1^4*T2^3 + 
      4502*T1^5*T2^3 + 2648*T1^6*T2^3 - 2876*T1^7*T2^3 + 786*T1^8*T2^3 - 
      23*T1^9*T2^3 - 356*T2^4 + 210*T1*T2^4 + 4378*T1^2*T2^4 - 
      11932*T1^3*T2^4 + 9326*T1^4*T2^4 + 8538*T1^5*T2^4 - 15474*T1^6*T2^4 + 
      7332*T1^7*T2^4 - 318*T1^8*T2^4 - 702*T1^9*T2^4 + 140*T1^10*T2^4 + 
      138*T2^5 + 564*T1*T2^5 - 3930*T1^2*T2^5 + 4502*T1^3*T2^5 + 
      8538*T1^4*T2^5 - 28153*T1^5*T2^5 + 24181*T1^6*T2^5 - 2281*T1^7*T2^5 - 
      6272*T1^8*T2^5 + 3076*T1^9*T2^5 - 228*T1^10*T2^5 - 102*T1^11*T2^5 - 
      23*T2^6 - 402*T1*T2^6 + 1224*T1^2*T2^6 + 2648*T1^3*T2^6 - 
      15474*T1^4*T2^6 + 24181*T1^5*T2^6 - 7344*T1^6*T2^6 - 18985*T1^7*T2^6 + 
      16240*T1^8*T2^6 - 3592*T1^9*T2^6 - 1100*T1^10*T2^6 + 462*T1^11*T2^6 + 
      25*T1^12*T2^6 + 90*T1*T2^7 + 108*T1^2*T2^7 - 2876*T1^3*T2^7 + 
      7332*T1^4*T2^7 - 2281*T1^5*T2^7 - 18985*T1^6*T2^7 + 33349*T1^7*T2^7 - 
      13100*T1^8*T2^7 - 3442*T1^9*T2^7 + 4130*T1^10*T2^7 - 684*T1^11*T2^7 - 
      150*T1^12*T2^7 - 108*T1^2*T2^8 + 786*T1^3*T2^8 - 318*T1^4*T2^8 - 
      6272*T1^5*T2^8 + 16240*T1^6*T2^8 - 13100*T1^7*T2^8 - 8560*T1^8*T2^8 + 
      12992*T1^9*T2^8 - 5014*T1^10*T2^8 - 126*T1^11*T2^8 + 388*T1^12*T2^8 - 
      23*T1^3*T2^9 - 702*T1^4*T2^9 + 3076*T1^5*T2^9 - 3592*T1^6*T2^9 - 
      3442*T1^7*T2^9 + 12992*T1^8*T2^9 - 7978*T1^9*T2^9 + 286*T1^10*T2^9 + 
      1650*T1^11*T2^9 - 539*T1^12*T2^9 + 140*T1^4*T2^10 - 228*T1^5*T2^10 - 
      1100*T1^6*T2^10 + 4130*T1^7*T2^10 - 5014*T1^8*T2^10 + 286*T1^9*T2^10 + 
      2496*T1^10*T2^10 - 1716*T1^11*T2^10 + 388*T1^12*T2^10 - 
      102*T1^5*T2^11 + 462*T1^6*T2^11 - 684*T1^7*T2^11 - 126*T1^8*T2^11 + 
      1650*T1^9*T2^11 - 1716*T1^10*T2^11 + 798*T1^11*T2^11 - 
      150*T1^12*T2^11 + 25*T1^6*T2^12 - 150*T1^7*T2^12 + 388*T1^8*T2^12 - 
      539*T1^9*T2^12 + 388*T1^10*T2^12 - 150*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 257] -> 
  {(1 - 5*T + 12*T^2 - 19*T^3 + 23*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 48*T1^2 + 76*T1^3 - 92*T1^4 + 76*T1^5 - 48*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 165*T1^2*T2 - 200*T1^3*T2 + 175*T1^4*T2 - 
     35*T1^5*T2 - 45*T1^6*T2 + 80*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     48*T2^2 + 165*T1*T2^2 - 225*T1^2*T2^2 + 133*T1^3*T2^2 + 33*T1^4*T2^2 - 
     357*T1^5*T2^2 + 297*T1^6*T2^2 - 203*T1^7*T2^2 + 39*T1^8*T2^2 + 
     45*T1^9*T2^2 - 24*T1^10*T2^2 + 76*T2^3 - 200*T1*T2^3 + 133*T1^2*T2^3 + 
     129*T1^3*T2^3 - 328*T1^4*T2^3 + 644*T1^5*T2^3 - 109*T1^6*T2^3 - 
     64*T1^7*T2^3 + 249*T1^8*T2^3 - 191*T1^9*T2^3 + 25*T1^10*T2^3 + 
     19*T1^11*T2^3 - 92*T2^4 + 175*T1*T2^4 + 33*T1^2*T2^4 - 328*T1^3*T2^4 + 
     352*T1^4*T2^4 - 501*T1^5*T2^4 - 482*T1^6*T2^4 + 301*T1^7*T2^4 - 
     284*T1^8*T2^4 + 14*T1^9*T2^4 + 187*T1^10*T2^4 - 95*T1^11*T2^4 + 
     76*T2^5 - 35*T1*T2^5 - 357*T1^2*T2^5 + 644*T1^3*T2^5 - 501*T1^4*T2^5 + 
     506*T1^5*T2^5 + 622*T1^6*T2^5 + 126*T1^7*T2^5 - 186*T1^8*T2^5 + 
     338*T1^9*T2^5 - 323*T1^10*T2^5 + 95*T1^12*T2^5 - 19*T1^13*T2^5 - 
     48*T2^6 - 45*T1*T2^6 + 297*T1^2*T2^6 - 109*T1^3*T2^6 - 482*T1^4*T2^6 + 
     622*T1^5*T2^6 - 1309*T1^6*T2^6 - 145*T1^7*T2^6 + 235*T1^8*T2^6 - 
     114*T1^9*T2^6 + 26*T1^10*T2^6 + 323*T1^11*T2^6 - 187*T1^12*T2^6 - 
     25*T1^13*T2^6 + 24*T1^14*T2^6 + 20*T2^7 + 80*T1*T2^7 - 203*T1^2*T2^7 - 
     64*T1^3*T2^7 + 301*T1^4*T2^7 + 126*T1^5*T2^7 - 145*T1^6*T2^7 + 
     1340*T1^7*T2^7 - 700*T1^8*T2^7 - 170*T1^9*T2^7 + 142*T1^10*T2^7 - 
     390*T1^11*T2^7 - 16*T1^12*T2^7 + 193*T1^13*T2^7 - 45*T1^14*T2^7 - 
     15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 39*T1^2*T2^8 + 249*T1^3*T2^8 - 
     284*T1^4*T2^8 - 186*T1^5*T2^8 + 235*T1^6*T2^8 - 700*T1^7*T2^8 - 
     36*T1^8*T2^8 + 788*T1^9*T2^8 + 45*T1^10*T2^8 + 110*T1^11*T2^8 + 
     352*T1^12*T2^8 - 261*T1^13*T2^8 - 39*T1^14*T2^8 + 55*T1^15*T2^8 + 
     4*T1^16*T2^8 + 15*T1*T2^9 + 45*T1^2*T2^9 - 191*T1^3*T2^9 + 
     14*T1^4*T2^9 + 338*T1^5*T2^9 - 114*T1^6*T2^9 - 170*T1^7*T2^9 + 
     788*T1^8*T2^9 - 1252*T1^9*T2^9 - 195*T1^10*T2^9 - 98*T1^11*T2^9 - 
     353*T1^12*T2^9 + 62*T1^13*T2^9 + 205*T1^14*T2^9 - 80*T1^15*T2^9 - 
     20*T1^16*T2^9 - 24*T1^2*T2^10 + 25*T1^3*T2^10 + 187*T1^4*T2^10 - 
     323*T1^5*T2^10 + 26*T1^6*T2^10 + 142*T1^7*T2^10 + 45*T1^8*T2^10 - 
     195*T1^9*T2^10 + 1589*T1^10*T2^10 - 594*T1^11*T2^10 + 534*T1^12*T2^10 + 
     109*T1^13*T2^10 - 297*T1^14*T2^10 + 45*T1^15*T2^10 + 48*T1^16*T2^10 + 
     19*T1^3*T2^11 - 95*T1^4*T2^11 + 323*T1^6*T2^11 - 390*T1^7*T2^11 + 
     110*T1^8*T2^11 - 98*T1^9*T2^11 - 594*T1^10*T2^11 - 582*T1^11*T2^11 + 
     449*T1^12*T2^11 - 644*T1^13*T2^11 + 357*T1^14*T2^11 + 35*T1^15*T2^11 - 
     76*T1^16*T2^11 + 95*T1^5*T2^12 - 187*T1^6*T2^12 - 16*T1^7*T2^12 + 
     352*T1^8*T2^12 - 353*T1^9*T2^12 + 534*T1^10*T2^12 + 449*T1^11*T2^12 - 
     284*T1^12*T2^12 + 326*T1^13*T2^12 - 33*T1^14*T2^12 - 175*T1^15*T2^12 + 
     92*T1^16*T2^12 - 19*T1^5*T2^13 - 25*T1^6*T2^13 + 193*T1^7*T2^13 - 
     261*T1^8*T2^13 + 62*T1^9*T2^13 + 109*T1^10*T2^13 - 644*T1^11*T2^13 + 
     326*T1^12*T2^13 - 141*T1^13*T2^13 - 131*T1^14*T2^13 + 200*T1^15*T2^13 - 
     76*T1^16*T2^13 + 24*T1^6*T2^14 - 45*T1^7*T2^14 - 39*T1^8*T2^14 + 
     205*T1^9*T2^14 - 297*T1^10*T2^14 + 357*T1^11*T2^14 - 33*T1^12*T2^14 - 
     131*T1^13*T2^14 + 225*T1^14*T2^14 - 165*T1^15*T2^14 + 48*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 80*T1^9*T2^15 + 45*T1^10*T2^15 + 
     35*T1^11*T2^15 - 175*T1^12*T2^15 + 200*T1^13*T2^15 - 165*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     48*T1^10*T2^16 - 76*T1^11*T2^16 + 92*T1^12*T2^16 - 76*T1^13*T2^16 + 
     48*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 258] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 262*T1^2 + 293*T1^3 - 262*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 713*T1^2*T2 - 445*T1^3*T2 + 203*T1^4*T2 + 
     245*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 262*T2^2 + 713*T1*T2^2 - 
     269*T1^2*T2^2 - 874*T1^3*T2^2 + 1131*T1^4*T2^2 - 1554*T1^5*T2^2 + 
     751*T1^6*T2^2 + 101*T1^7*T2^2 - 126*T1^8*T2^2 + 293*T2^3 - 445*T1*T2^3 - 
     874*T1^2*T2^3 + 2195*T1^3*T2^3 - 1394*T1^4*T2^3 + 1150*T1^5*T2^3 + 
     611*T1^6*T2^3 - 1129*T1^7*T2^3 + 275*T1^8*T2^3 + 65*T1^9*T2^3 - 
     262*T2^4 + 203*T1*T2^4 + 1131*T1^2*T2^4 - 1394*T1^3*T2^4 - 
     731*T1^4*T2^4 + 1073*T1^5*T2^4 - 2111*T1^6*T2^4 + 1152*T1^7*T2^4 + 
     365*T1^8*T2^4 - 337*T1^9*T2^4 + 10*T1^10*T2^4 + 139*T2^5 + 245*T1*T2^5 - 
     1554*T1^2*T2^5 + 1150*T1^3*T2^5 + 1073*T1^4*T2^5 - 492*T1^5*T2^5 + 
     192*T1^6*T2^5 + 784*T1^7*T2^5 - 1390*T1^8*T2^5 + 401*T1^9*T2^5 + 
     137*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 751*T1^2*T2^6 + 
     611*T1^3*T2^6 - 2111*T1^4*T2^6 + 192*T1^5*T2^6 + 948*T1^6*T2^6 - 
     944*T1^7*T2^6 + 811*T1^8*T2^6 + 461*T1^9*T2^6 - 601*T1^10*T2^6 + 
     110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 101*T1^2*T2^7 - 
     1129*T1^3*T2^7 + 1152*T1^4*T2^7 + 784*T1^5*T2^7 - 944*T1^6*T2^7 - 
     260*T1^7*T2^7 + 495*T1^8*T2^7 - 1388*T1^9*T2^7 + 826*T1^10*T2^7 - 
     7*T1^11*T2^7 - 77*T1^12*T2^7 - 126*T1^2*T2^8 + 275*T1^3*T2^8 + 
     365*T1^4*T2^8 - 1390*T1^5*T2^8 + 811*T1^6*T2^8 + 495*T1^7*T2^8 - 
     569*T1^8*T2^8 + 1156*T1^9*T2^8 - 401*T1^10*T2^8 - 265*T1^11*T2^8 + 
     146*T1^12*T2^8 + 65*T1^3*T2^9 - 337*T1^4*T2^9 + 401*T1^5*T2^9 + 
     461*T1^6*T2^9 - 1388*T1^7*T2^9 + 1156*T1^8*T2^9 - 1123*T1^9*T2^9 + 
     146*T1^10*T2^9 + 383*T1^11*T2^9 - 163*T1^12*T2^9 + 10*T1^4*T2^10 + 
     137*T1^5*T2^10 - 601*T1^6*T2^10 + 826*T1^7*T2^10 - 401*T1^8*T2^10 + 
     146*T1^9*T2^10 + 419*T1^10*T2^10 - 475*T1^11*T2^10 + 146*T1^12*T2^10 - 
     41*T1^5*T2^11 + 110*T1^6*T2^11 - 7*T1^7*T2^11 - 265*T1^8*T2^11 + 
     383*T1^9*T2^11 - 475*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 
     17*T1^6*T2^12 - 77*T1^7*T2^12 + 146*T1^8*T2^12 - 163*T1^9*T2^12 + 
     146*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 259] -> 
  {-((1 - 5*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-7 + 35*T1 - 70*T1^2 + 105*T1^3 - 119*T1^4 + 105*T1^5 - 
      70*T1^6 + 35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 200*T1^2*T2 - 
      225*T1^3*T2 + 145*T1^4*T2 - 15*T1^5*T2 - 100*T1^6*T2 + 125*T1^7*T2 - 
      115*T1^8*T2 + 30*T1^9*T2 - 70*T2^2 + 200*T1*T2^2 - 4*T1^2*T2^2 - 
      195*T1^3*T2^2 + 552*T1^4*T2^2 - 742*T1^5*T2^2 + 692*T1^6*T2^2 - 
      395*T1^7*T2^2 + 176*T1^8*T2^2 + 100*T1^9*T2^2 - 50*T1^10*T2^2 + 
      105*T2^3 - 225*T1*T2^3 - 195*T1^2*T2^3 + 255*T1^3*T2^3 - 
      529*T1^4*T2^3 + 385*T1^5*T2^3 - 90*T1^6*T2^3 - 269*T1^7*T2^3 + 
      225*T1^8*T2^3 - 345*T1^9*T2^3 - 50*T1^10*T2^3 + 60*T1^11*T2^3 - 
      119*T2^4 + 145*T1*T2^4 + 552*T1^2*T2^4 - 529*T1^3*T2^4 + 
      1057*T1^4*T2^4 - 917*T1^5*T2^4 + 799*T1^6*T2^4 - 547*T1^7*T2^4 + 
      645*T1^8*T2^4 - 199*T1^9*T2^4 + 482*T1^10*T2^4 - 45*T1^11*T2^4 - 
      51*T1^12*T2^4 + 105*T2^5 - 15*T1*T2^5 - 742*T1^2*T2^5 + 385*T1^3*T2^5 - 
      917*T1^4*T2^5 + 478*T1^5*T2^5 - 368*T1^6*T2^5 + 82*T1^7*T2^5 - 
      182*T1^8*T2^5 - 362*T1^9*T2^5 - 140*T1^10*T2^5 - 367*T1^11*T2^5 + 
      105*T1^12*T2^5 + 30*T1^13*T2^5 - 70*T2^6 - 100*T1*T2^6 + 
      692*T1^2*T2^6 - 90*T1^3*T2^6 + 799*T1^4*T2^6 - 368*T1^5*T2^6 + 
      562*T1^6*T2^6 - 406*T1^7*T2^6 + 482*T1^8*T2^6 + 132*T1^9*T2^6 + 
      379*T1^10*T2^6 + 310*T1^11*T2^6 + 132*T1^12*T2^6 - 100*T1^13*T2^6 - 
      10*T1^14*T2^6 + 35*T2^7 + 125*T1*T2^7 - 395*T1^2*T2^7 - 269*T1^3*T2^7 - 
      547*T1^4*T2^7 + 82*T1^5*T2^7 - 406*T1^6*T2^7 + 240*T1^7*T2^7 - 
      210*T1^8*T2^7 - 281*T1^9*T2^7 - 268*T1^10*T2^7 - 362*T1^11*T2^7 - 
      249*T1^12*T2^7 + 55*T1^13*T2^7 + 50*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 
      176*T1^2*T2^8 + 225*T1^3*T2^8 + 645*T1^4*T2^8 - 182*T1^5*T2^8 + 
      482*T1^6*T2^8 - 210*T1^7*T2^8 + 48*T1^8*T2^8 + 250*T1^9*T2^8 + 
      212*T1^10*T2^8 + 298*T1^11*T2^8 + 281*T1^12*T2^8 + 55*T1^13*T2^8 - 
      94*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 
      100*T1^2*T2^9 - 345*T1^3*T2^9 - 199*T1^4*T2^9 - 362*T1^5*T2^9 + 
      132*T1^6*T2^9 - 281*T1^7*T2^9 + 250*T1^8*T2^9 - 200*T1^9*T2^9 - 
      156*T1^10*T2^9 - 218*T1^11*T2^9 - 177*T1^12*T2^9 - 179*T1^13*T2^9 + 
      105*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 50*T1^2*T2^10 - 
      50*T1^3*T2^10 + 482*T1^4*T2^10 - 140*T1^5*T2^10 + 379*T1^6*T2^10 - 
      268*T1^7*T2^10 + 212*T1^8*T2^10 - 156*T1^9*T2^10 + 132*T1^10*T2^10 + 
      232*T1^11*T2^10 - 41*T1^12*T2^10 + 260*T1^13*T2^10 - 78*T1^14*T2^10 - 
      50*T1^15*T2^10 + 10*T1^16*T2^10 + 60*T1^3*T2^11 - 45*T1^4*T2^11 - 
      367*T1^5*T2^11 + 310*T1^6*T2^11 - 362*T1^7*T2^11 + 298*T1^8*T2^11 - 
      218*T1^9*T2^11 + 232*T1^10*T2^11 - 362*T1^11*T2^11 + 193*T1^12*T2^11 - 
      215*T1^13*T2^11 + 8*T1^14*T2^11 + 75*T1^15*T2^11 - 15*T1^16*T2^11 - 
      51*T1^4*T2^12 + 105*T1^5*T2^12 + 132*T1^6*T2^12 - 249*T1^7*T2^12 + 
      281*T1^8*T2^12 - 177*T1^9*T2^12 - 41*T1^10*T2^12 + 193*T1^11*T2^12 - 
      131*T1^12*T2^12 + 81*T1^13*T2^12 + 62*T1^14*T2^12 - 85*T1^15*T2^12 + 
      17*T1^16*T2^12 + 30*T1^5*T2^13 - 100*T1^6*T2^13 + 55*T1^7*T2^13 + 
      55*T1^8*T2^13 - 179*T1^9*T2^13 + 260*T1^10*T2^13 - 215*T1^11*T2^13 + 
      81*T1^12*T2^13 + 25*T1^13*T2^13 - 95*T1^14*T2^13 + 75*T1^15*T2^13 - 
      15*T1^16*T2^13 - 10*T1^6*T2^14 + 50*T1^7*T2^14 - 94*T1^8*T2^14 + 
      105*T1^9*T2^14 - 78*T1^10*T2^14 + 8*T1^11*T2^14 + 62*T1^12*T2^14 - 
      95*T1^13*T2^14 + 86*T1^14*T2^14 - 50*T1^15*T2^14 + 10*T1^16*T2^14 - 
      5*T1^8*T2^15 + 25*T1^9*T2^15 - 50*T1^10*T2^15 + 75*T1^11*T2^15 - 
      85*T1^12*T2^15 + 75*T1^13*T2^15 - 50*T1^14*T2^15 + 25*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 10*T1^10*T2^16 - 
      15*T1^11*T2^16 + 17*T1^12*T2^16 - 15*T1^13*T2^16 + 10*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 260] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 185*T1 - 308*T1^2 + 349*T1^3 - 308*T1^4 + 185*T1^5 - 41*T1^6 + 
      185*T2 - 686*T1*T2 + 717*T1^2*T2 - 455*T1^3*T2 + 121*T1^4*T2 + 
      285*T1^5*T2 - 488*T1^6*T2 + 149*T1^7*T2 - 308*T2^2 + 717*T1*T2^2 + 
      530*T1^2*T2^2 - 1591*T1^3*T2^2 + 2014*T1^4*T2^2 - 2071*T1^5*T2^2 + 
      1310*T1^6*T2^2 + 177*T1^7*T2^2 - 188*T1^8*T2^2 + 349*T2^3 - 
      455*T1*T2^3 - 1591*T1^2*T2^3 + 1855*T1^3*T2^3 - 1238*T1^4*T2^3 + 
      634*T1^5*T2^3 + 553*T1^6*T2^3 - 1636*T1^7*T2^3 + 193*T1^8*T2^3 + 
      145*T1^9*T2^3 - 308*T2^4 + 121*T1*T2^4 + 2014*T1^2*T2^4 - 
      1238*T1^3*T2^4 + 369*T1^4*T2^4 - 101*T1^5*T2^4 - 519*T1^6*T2^4 + 
      700*T1^7*T2^4 + 1060*T1^8*T2^4 - 347*T1^9*T2^4 - 68*T1^10*T2^4 + 
      185*T2^5 + 285*T1*T2^5 - 2071*T1^2*T2^5 + 634*T1^3*T2^5 - 
      101*T1^4*T2^5 + 406*T1^5*T2^5 - 164*T1^6*T2^5 + 124*T1^7*T2^5 - 
      1106*T1^8*T2^5 - 286*T1^9*T2^5 + 285*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 488*T1*T2^6 + 1310*T1^2*T2^6 + 553*T1^3*T2^6 - 
      519*T1^4*T2^6 - 164*T1^5*T2^6 - 120*T1^6*T2^6 + 232*T1^7*T2^6 + 
      183*T1^8*T2^6 + 955*T1^9*T2^6 - 346*T1^10*T2^6 - 56*T1^11*T2^6 + 
      7*T1^12*T2^6 + 149*T1*T2^7 + 177*T1^2*T2^7 - 1636*T1^3*T2^7 + 
      700*T1^4*T2^7 + 124*T1^5*T2^7 + 232*T1^6*T2^7 - 338*T1^7*T2^7 + 
      349*T1^8*T2^7 - 1040*T1^9*T2^7 + 149*T1^10*T2^7 + 177*T1^11*T2^7 - 
      31*T1^12*T2^7 - 188*T1^2*T2^8 + 193*T1^3*T2^8 + 1060*T1^4*T2^8 - 
      1106*T1^5*T2^8 + 183*T1^6*T2^8 + 349*T1^7*T2^8 - 705*T1^8*T2^8 + 
      832*T1^9*T2^8 + 106*T1^10*T2^8 - 275*T1^11*T2^8 + 52*T1^12*T2^8 + 
      145*T1^3*T2^9 - 347*T1^4*T2^9 - 286*T1^5*T2^9 + 955*T1^6*T2^9 - 
      1040*T1^7*T2^9 + 832*T1^8*T2^9 - 347*T1^9*T2^9 - 331*T1^10*T2^9 + 
      301*T1^11*T2^9 - 59*T1^12*T2^9 - 68*T1^4*T2^10 + 285*T1^5*T2^10 - 
      346*T1^6*T2^10 + 149*T1^7*T2^10 + 106*T1^8*T2^10 - 331*T1^9*T2^10 + 
      434*T1^10*T2^10 - 255*T1^11*T2^10 + 52*T1^12*T2^10 + 5*T1^5*T2^11 - 
      56*T1^6*T2^11 + 177*T1^7*T2^11 - 275*T1^8*T2^11 + 301*T1^9*T2^11 - 
      255*T1^10*T2^11 + 142*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 
      31*T1^7*T2^12 + 52*T1^8*T2^12 - 59*T1^9*T2^12 + 52*T1^10*T2^12 - 
      31*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 261] -> 
  {((1 - T + T^2)*(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6))/T^4, 
   (-2 + 12*T1 - 32*T1^2 + 52*T1^3 - 62*T1^4 + 52*T1^5 - 32*T1^6 + 12*T1^7 - 
     2*T1^8 + 12*T2 - 66*T1*T2 + 156*T1^2*T2 - 216*T1^3*T2 + 216*T1^4*T2 - 
     126*T1^5*T2 + 36*T1^6*T2 + 24*T1^7*T2 - 24*T1^8*T2 + 6*T1^9*T2 - 
     32*T2^2 + 156*T1*T2^2 - 297*T1^2*T2^2 + 262*T1^3*T2^2 - 72*T1^4*T2^2 - 
     265*T1^5*T2^2 + 408*T1^6*T2^2 - 378*T1^7*T2^2 + 183*T1^8*T2^2 - 
     36*T1^9*T2^2 + 52*T2^3 - 216*T1*T2^3 + 262*T1^2*T2^3 + 130*T1^3*T2^3 - 
     673*T1^4*T2^3 + 1192*T1^5*T2^3 - 1004*T1^6*T2^3 + 473*T1^7*T2^3 + 
     124*T1^8*T2^3 - 314*T1^9*T2^3 + 156*T1^10*T2^3 - 26*T1^11*T2^3 - 
     62*T2^4 + 216*T1*T2^4 - 72*T1^2*T2^4 - 673*T1^3*T2^4 + 1225*T1^4*T2^4 - 
     1277*T1^5*T2^4 + 181*T1^6*T2^4 + 923*T1^7*T2^4 - 1295*T1^8*T2^4 + 
     783*T1^9*T2^4 + 40*T1^10*T2^4 - 216*T1^11*T2^4 + 62*T1^12*T2^4 + 
     52*T2^5 - 126*T1*T2^5 - 265*T1^2*T2^5 + 1192*T1^3*T2^5 - 
     1277*T1^4*T2^5 + 420*T1^5*T2^5 + 1234*T1^6*T2^5 - 1902*T1^7*T2^5 + 
     756*T1^8*T2^5 + 607*T1^9*T2^5 - 1444*T1^10*T2^5 + 587*T1^11*T2^5 + 
     96*T1^12*T2^5 - 78*T1^13*T2^5 - 32*T2^6 + 36*T1*T2^6 + 408*T1^2*T2^6 - 
     1004*T1^3*T2^6 + 181*T1^4*T2^6 + 1234*T1^5*T2^6 - 1903*T1^6*T2^6 + 
     885*T1^7*T2^6 + 1937*T1^8*T2^6 - 2382*T1^9*T2^6 + 1813*T1^10*T2^6 + 
     532*T1^11*T2^6 - 808*T1^12*T2^6 + 84*T1^13*T2^6 + 64*T1^14*T2^6 + 
     12*T2^7 + 24*T1*T2^7 - 378*T1^2*T2^7 + 473*T1^3*T2^7 + 923*T1^4*T2^7 - 
     1902*T1^5*T2^7 + 885*T1^6*T2^7 + 706*T1^7*T2^7 - 3086*T1^8*T2^7 + 
     849*T1^9*T2^7 + 274*T1^10*T2^7 - 2225*T1^11*T2^7 + 567*T1^12*T2^7 + 
     582*T1^13*T2^7 - 204*T1^14*T2^7 - 30*T1^15*T2^7 - 2*T2^8 - 24*T1*T2^8 + 
     183*T1^2*T2^8 + 124*T1^3*T2^8 - 1295*T1^4*T2^8 + 756*T1^5*T2^8 + 
     1937*T1^6*T2^8 - 3086*T1^7*T2^8 + 4248*T1^8*T2^8 - 94*T1^9*T2^8 + 
     129*T1^10*T2^8 + 900*T1^11*T2^8 + 1609*T1^12*T2^8 - 1420*T1^13*T2^8 + 
     39*T1^14*T2^8 + 144*T1^15*T2^8 + 6*T1^16*T2^8 + 6*T1*T2^9 - 
     36*T1^2*T2^9 - 314*T1^3*T2^9 + 783*T1^4*T2^9 + 607*T1^5*T2^9 - 
     2382*T1^6*T2^9 + 849*T1^7*T2^9 - 94*T1^8*T2^9 - 3886*T1^9*T2^9 + 
     813*T1^10*T2^9 - 206*T1^11*T2^9 - 2541*T1^12*T2^9 + 877*T1^13*T2^9 + 
     646*T1^14*T2^9 - 264*T1^15*T2^9 - 36*T1^16*T2^9 + 156*T1^3*T2^10 + 
     40*T1^4*T2^10 - 1444*T1^5*T2^10 + 1813*T1^6*T2^10 + 274*T1^7*T2^10 + 
     129*T1^8*T2^10 + 813*T1^9*T2^10 + 3969*T1^10*T2^10 - 3342*T1^11*T2^10 + 
     3445*T1^12*T2^10 + 92*T1^13*T2^10 - 1176*T1^14*T2^10 + 204*T1^15*T2^10 + 
     96*T1^16*T2^10 - 26*T1^3*T2^11 - 216*T1^4*T2^11 + 587*T1^5*T2^11 + 
     532*T1^6*T2^11 - 2225*T1^7*T2^11 + 900*T1^8*T2^11 - 206*T1^9*T2^11 - 
     3342*T1^10*T2^11 + 1236*T1^11*T2^11 - 341*T1^12*T2^11 - 
     2104*T1^13*T2^11 + 1439*T1^14*T2^11 + 6*T1^15*T2^11 - 156*T1^16*T2^11 + 
     62*T1^4*T2^12 + 96*T1^5*T2^12 - 808*T1^6*T2^12 + 567*T1^7*T2^12 + 
     1609*T1^8*T2^12 - 2541*T1^9*T2^12 + 3445*T1^10*T2^12 - 341*T1^11*T2^12 - 
     911*T1^12*T2^12 + 2023*T1^13*T2^12 - 696*T1^14*T2^12 - 336*T1^15*T2^12 + 
     186*T1^16*T2^12 - 78*T1^5*T2^13 + 84*T1^6*T2^13 + 582*T1^7*T2^13 - 
     1420*T1^8*T2^13 + 877*T1^9*T2^13 + 92*T1^10*T2^13 - 2104*T1^11*T2^13 + 
     2023*T1^12*T2^13 - 1426*T1^13*T2^13 + 6*T1^14*T2^13 + 456*T1^15*T2^13 - 
     156*T1^16*T2^13 + 64*T1^6*T2^14 - 204*T1^7*T2^14 + 39*T1^8*T2^14 + 
     646*T1^9*T2^14 - 1176*T1^10*T2^14 + 1439*T1^11*T2^14 - 696*T1^12*T2^14 + 
     6*T1^13*T2^14 + 519*T1^14*T2^14 - 396*T1^15*T2^14 + 96*T1^16*T2^14 - 
     30*T1^7*T2^15 + 144*T1^8*T2^15 - 264*T1^9*T2^15 + 204*T1^10*T2^15 + 
     6*T1^11*T2^15 - 336*T1^12*T2^15 + 456*T1^13*T2^15 - 396*T1^14*T2^15 + 
     186*T1^15*T2^15 - 36*T1^16*T2^15 + 6*T1^8*T2^16 - 36*T1^9*T2^16 + 
     96*T1^10*T2^16 - 156*T1^11*T2^16 + 186*T1^12*T2^16 - 156*T1^13*T2^16 + 
     96*T1^14*T2^16 - 36*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 262] -> 
  {(2 - 11*T + 25*T^2 - 31*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-15 + 82*T1 - 186*T1^2 + 231*T1^3 - 186*T1^4 + 82*T1^5 - 15*T1^6 + 
     82*T2 - 410*T1*T2 + 810*T1^2*T2 - 796*T1^3*T2 + 436*T1^4*T2 + 
     18*T1^5*T2 - 124*T1^6*T2 + 38*T1^7*T2 - 186*T2^2 + 810*T1*T2^2 - 
     1182*T1^2*T2^2 + 287*T1^3*T2^2 + 980*T1^4*T2^2 - 1713*T1^5*T2^2 + 
     1118*T1^6*T2^2 - 290*T1^7*T2^2 + 14*T1^8*T2^2 + 231*T2^3 - 796*T1*T2^3 + 
     287*T1^2*T2^3 + 2411*T1^3*T2^3 - 4534*T1^4*T2^3 + 4170*T1^5*T2^3 - 
     1351*T1^6*T2^3 - 788*T1^7*T2^3 + 700*T1^8*T2^3 - 141*T1^9*T2^3 - 
     186*T2^4 + 436*T1*T2^4 + 980*T1^2*T2^4 - 4534*T1^3*T2^4 + 
     5269*T1^4*T2^4 - 1229*T1^5*T2^4 - 3771*T1^6*T2^4 + 4952*T1^7*T2^4 - 
     1522*T1^8*T2^4 - 400*T1^9*T2^4 + 214*T1^10*T2^4 + 82*T2^5 + 18*T1*T2^5 - 
     1713*T1^2*T2^5 + 4170*T1^3*T2^5 - 1229*T1^4*T2^5 - 6298*T1^5*T2^5 + 
     8832*T1^6*T2^5 - 4654*T1^7*T2^5 - 2970*T1^8*T2^5 + 3062*T1^9*T2^5 - 
     422*T1^10*T2^5 - 138*T1^11*T2^5 - 15*T2^6 - 124*T1*T2^6 + 
     1118*T1^2*T2^6 - 1351*T1^3*T2^6 - 3771*T1^4*T2^6 + 8832*T1^5*T2^6 - 
     3108*T1^6*T2^6 - 5300*T1^7*T2^6 + 10575*T1^8*T2^6 - 3745*T1^9*T2^6 - 
     1106*T1^10*T2^6 + 580*T1^11*T2^6 + 33*T1^12*T2^6 + 38*T1*T2^7 - 
     290*T1^2*T2^7 - 788*T1^3*T2^7 + 4952*T1^4*T2^7 - 4654*T1^5*T2^7 - 
     5300*T1^6*T2^7 + 9830*T1^7*T2^7 - 8079*T1^8*T2^7 - 2188*T1^9*T2^7 + 
     3987*T1^10*T2^7 - 730*T1^11*T2^7 - 182*T1^12*T2^7 + 14*T1^2*T2^8 + 
     700*T1^3*T2^8 - 1522*T1^4*T2^8 - 2970*T1^5*T2^8 + 10575*T1^6*T2^8 - 
     8079*T1^7*T2^8 + 1535*T1^8*T2^8 + 6516*T1^9*T2^8 - 4024*T1^10*T2^8 - 
     136*T1^11*T2^8 + 414*T1^12*T2^8 - 141*T1^3*T2^9 - 400*T1^4*T2^9 + 
     3062*T1^5*T2^9 - 3745*T1^6*T2^9 - 2188*T1^7*T2^9 + 6516*T1^8*T2^9 - 
     7507*T1^9*T2^9 + 1987*T1^10*T2^9 + 1096*T1^11*T2^9 - 513*T1^12*T2^9 + 
     214*T1^4*T2^10 - 422*T1^5*T2^10 - 1106*T1^6*T2^10 + 3987*T1^7*T2^10 - 
     4024*T1^8*T2^10 + 1987*T1^9*T2^10 + 1194*T1^10*T2^10 - 
     1522*T1^11*T2^10 + 414*T1^12*T2^10 - 138*T1^5*T2^11 + 580*T1^6*T2^11 - 
     730*T1^7*T2^11 - 136*T1^8*T2^11 + 1096*T1^9*T2^11 - 1522*T1^10*T2^11 + 
     866*T1^11*T2^11 - 182*T1^12*T2^11 + 33*T1^6*T2^12 - 182*T1^7*T2^12 + 
     414*T1^8*T2^12 - 513*T1^9*T2^12 + 414*T1^10*T2^12 - 182*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 263] -> 
  {((1 - T + T^2)^2*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^4, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (65 - 128*T1 + 157*T1^2 - 155*T1^3 + 157*T1^4 - 128*T1^5 + 65*T1^6 - 
       128*T2 + 152*T1*T2 - 112*T1^2*T2 + 60*T1^3*T2 - 60*T1^4*T2 - 
       4*T1^5*T2 + 80*T1^6*T2 - 104*T1^7*T2 + 157*T2^2 - 112*T1*T2^2 + 
       64*T1^2*T2^2 - 43*T1^3*T2^2 + 86*T1^4*T2^2 - 11*T1^5*T2^2 - 
       32*T1^6*T2^2 + 16*T1^7*T2^2 + 93*T1^8*T2^2 - 155*T2^3 + 60*T1*T2^3 - 
       43*T1^2*T2^3 + 30*T1^3*T2^3 - 61*T1^4*T2^3 - 41*T1^5*T2^3 + 
       56*T1^6*T2^3 - 47*T1^7*T2^3 - 32*T1^8*T2^3 - 75*T1^9*T2^3 + 157*T2^4 - 
       60*T1*T2^4 + 86*T1^2*T2^4 - 61*T1^3*T2^4 + 74*T1^4*T2^4 + 
       32*T1^5*T2^4 - 20*T1^6*T2^4 + 29*T1^7*T2^4 + 46*T1^8*T2^4 + 
       32*T1^9*T2^4 + 61*T1^10*T2^4 - 128*T2^5 - 4*T1*T2^5 - 11*T1^2*T2^5 - 
       41*T1^3*T2^5 + 32*T1^4*T2^5 - 82*T1^5*T2^5 + 10*T1^7*T2^5 - 
       91*T1^8*T2^5 + 25*T1^9*T2^5 - 80*T1^10*T2^5 - 24*T1^11*T2^5 + 
       65*T2^6 + 80*T1*T2^6 - 32*T1^2*T2^6 + 56*T1^3*T2^6 - 20*T1^4*T2^6 + 
       96*T1^6*T2^6 - 72*T1^7*T2^6 + 100*T1^8*T2^6 - 24*T1^9*T2^6 + 
       48*T1^10*T2^6 + 48*T1^11*T2^6 + T1^12*T2^6 - 104*T1*T2^7 + 
       16*T1^2*T2^7 - 47*T1^3*T2^7 + 29*T1^4*T2^7 + 10*T1^5*T2^7 - 
       72*T1^6*T2^7 + 10*T1^7*T2^7 - 12*T1^8*T2^7 - 21*T1^9*T2^7 - 
       11*T1^10*T2^7 - 60*T1^11*T2^7 + 93*T1^2*T2^8 - 32*T1^3*T2^8 + 
       46*T1^4*T2^8 - 91*T1^5*T2^8 + 100*T1^6*T2^8 - 12*T1^7*T2^8 + 
       6*T1^8*T2^8 - T1^9*T2^8 + 6*T1^10*T2^8 + 60*T1^11*T2^8 - 
       3*T1^12*T2^8 - 75*T1^3*T2^9 + 32*T1^4*T2^9 + 25*T1^5*T2^9 - 
       24*T1^6*T2^9 - 21*T1^7*T2^9 - T1^8*T2^9 + 2*T1^9*T2^9 + 
       21*T1^10*T2^9 - 60*T1^11*T2^9 + 5*T1^12*T2^9 + 61*T1^4*T2^10 - 
       80*T1^5*T2^10 + 48*T1^6*T2^10 - 11*T1^7*T2^10 + 6*T1^8*T2^10 + 
       21*T1^9*T2^10 - 48*T1^10*T2^10 + 48*T1^11*T2^10 - 3*T1^12*T2^10 - 
       24*T1^5*T2^11 + 48*T1^6*T2^11 - 60*T1^7*T2^11 + 60*T1^8*T2^11 - 
       60*T1^9*T2^11 + 48*T1^10*T2^11 - 24*T1^11*T2^11 + T1^6*T2^12 - 
       3*T1^8*T2^12 + 5*T1^9*T2^12 - 3*T1^10*T2^12 + T1^12*T2^12))/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 264] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   -((-5 + 30*T1 - 80*T1^2 + 140*T1^3 - 165*T1^4 + 140*T1^5 - 80*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 456*T1^3*T2 + 
      318*T1^4*T2 - 48*T1^5*T2 - 192*T1^6*T2 + 204*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 465*T1^2*T2^2 + 226*T1^3*T2^2 + 
      622*T1^4*T2^2 - 1167*T1^5*T2^2 + 1166*T1^6*T2^2 - 478*T1^7*T2^2 + 
      15*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 140*T2^3 - 456*T1*T2^3 + 
      226*T1^2*T2^3 + 556*T1^3*T2^3 - 1876*T1^4*T2^3 + 1598*T1^5*T2^3 - 
      562*T1^6*T2^3 - 928*T1^7*T2^3 + 880*T1^8*T2^3 - 446*T1^9*T2^3 - 
      48*T1^10*T2^3 + 56*T1^11*T2^3 - 165*T2^4 + 318*T1*T2^4 + 
      622*T1^2*T2^4 - 1876*T1^3*T2^4 + 3063*T1^4*T2^4 - 1127*T1^5*T2^4 - 
      493*T1^6*T2^4 + 1681*T1^7*T2^4 - 105*T1^8*T2^4 - 532*T1^9*T2^4 + 
      718*T1^10*T2^4 - 138*T1^11*T2^4 - 33*T1^12*T2^4 + 140*T2^5 - 
      48*T1*T2^5 - 1167*T1^2*T2^5 + 1598*T1^3*T2^5 - 1127*T1^4*T2^5 - 
      2530*T1^5*T2^5 + 2711*T1^6*T2^5 - 1561*T1^7*T2^5 - 1924*T1^8*T2^5 + 
      1623*T1^9*T2^5 - 850*T1^10*T2^5 - 291*T1^11*T2^5 + 198*T1^12*T2^5 - 
      80*T2^6 - 192*T1*T2^6 + 1166*T1^2*T2^6 - 562*T1^3*T2^6 - 
      493*T1^4*T2^6 + 2711*T1^5*T2^6 + 852*T1^6*T2^6 - 3582*T1^7*T2^6 + 
      5460*T1^8*T2^6 - 1705*T1^9*T2^6 - 301*T1^10*T2^6 + 1166*T1^11*T2^6 - 
      274*T1^12*T2^6 - 96*T1^13*T2^6 + 16*T1^14*T2^6 + 30*T2^7 + 
      204*T1*T2^7 - 478*T1^2*T2^7 - 928*T1^3*T2^7 + 1681*T1^4*T2^7 - 
      1561*T1^5*T2^7 - 3582*T1^6*T2^7 + 4578*T1^7*T2^7 - 2916*T1^8*T2^7 - 
      2094*T1^9*T2^7 + 2423*T1^10*T2^7 - 1301*T1^11*T2^7 - 292*T1^12*T2^7 + 
      386*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 
      15*T1^2*T2^8 + 880*T1^3*T2^8 - 105*T1^4*T2^8 - 1924*T1^5*T2^8 + 
      5460*T1^6*T2^8 - 2916*T1^7*T2^8 - 1272*T1^8*T2^8 + 4404*T1^9*T2^8 - 
      2188*T1^10*T2^8 - 172*T1^11*T2^8 + 1087*T1^12*T2^8 - 464*T1^13*T2^8 - 
      129*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 24*T1*T2^9 + 
      144*T1^2*T2^9 - 446*T1^3*T2^9 - 532*T1^4*T2^9 + 1623*T1^5*T2^9 - 
      1705*T1^6*T2^9 - 2094*T1^7*T2^9 + 4404*T1^8*T2^9 - 3090*T1^9*T2^9 - 
      606*T1^10*T2^9 + 2279*T1^11*T2^9 - 1359*T1^12*T2^9 + 104*T1^13*T2^9 + 
      418*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 48*T1^2*T2^10 - 
      48*T1^3*T2^10 + 718*T1^4*T2^10 - 850*T1^5*T2^10 - 301*T1^6*T2^10 + 
      2423*T1^7*T2^10 - 2188*T1^8*T2^10 - 606*T1^9*T2^10 + 2420*T1^10*T2^10 - 
      1993*T1^11*T2^10 - 109*T1^12*T2^10 + 878*T1^13*T2^10 - 
      722*T1^14*T2^10 + 48*T1^15*T2^10 + 48*T1^16*T2^10 + 56*T1^3*T2^11 - 
      138*T1^4*T2^11 - 291*T1^5*T2^11 + 1166*T1^6*T2^11 - 1301*T1^7*T2^11 - 
      172*T1^8*T2^11 + 2279*T1^9*T2^11 - 1993*T1^10*T2^11 + 434*T1^11*T2^11 + 
      1449*T1^12*T2^11 - 1282*T1^13*T2^11 + 585*T1^14*T2^11 + 
      108*T1^15*T2^11 - 84*T1^16*T2^11 - 33*T1^4*T2^12 + 198*T1^5*T2^12 - 
      274*T1^6*T2^12 - 292*T1^7*T2^12 + 1087*T1^8*T2^12 - 1359*T1^9*T2^12 - 
      109*T1^10*T2^12 + 1449*T1^11*T2^12 - 2081*T1^12*T2^12 + 
      1052*T1^13*T2^12 - 178*T1^14*T2^12 - 258*T1^15*T2^12 + 99*T1^16*T2^12 - 
      96*T1^6*T2^13 + 386*T1^7*T2^13 - 464*T1^8*T2^13 + 104*T1^9*T2^13 + 
      878*T1^10*T2^13 - 1282*T1^11*T2^13 + 1052*T1^12*T2^13 - 
      140*T1^13*T2^13 - 286*T1^14*T2^13 + 312*T1^15*T2^13 - 84*T1^16*T2^13 + 
      16*T1^6*T2^14 - 24*T1^7*T2^14 - 129*T1^8*T2^14 + 418*T1^9*T2^14 - 
      722*T1^10*T2^14 + 585*T1^11*T2^14 - 178*T1^12*T2^14 - 286*T1^13*T2^14 + 
      351*T1^14*T2^14 - 216*T1^15*T2^14 + 48*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 84*T1^9*T2^15 + 48*T1^10*T2^15 + 108*T1^11*T2^15 - 
      258*T1^12*T2^15 + 312*T1^13*T2^15 - 216*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 48*T1^10*T2^16 - 
      84*T1^11*T2^16 + 99*T1^12*T2^16 - 84*T1^13*T2^16 + 48*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 265] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-25 + 138*T1 - 314*T1^2 + 415*T1^3 - 314*T1^4 + 138*T1^5 - 25*T1^6 + 
      138*T2 - 668*T1*T2 + 1214*T1^2*T2 - 1108*T1^3*T2 + 168*T1^4*T2 + 
      422*T1^5*T2 - 382*T1^6*T2 + 94*T1^7*T2 - 314*T2^2 + 1214*T1*T2^2 - 
      1191*T1^2*T2^2 - 668*T1^3*T2^2 + 3227*T1^4*T2^2 - 2868*T1^5*T2^2 + 
      1109*T1^6*T2^2 + 114*T1^7*T2^2 - 114*T1^8*T2^2 + 415*T2^3 - 
      1108*T1*T2^3 - 668*T1^2*T2^3 + 4399*T1^3*T2^3 - 6526*T1^4*T2^3 + 
      2296*T1^5*T2^3 + 1429*T1^6*T2^3 - 2043*T1^7*T2^3 + 520*T1^8*T2^3 + 
      19*T1^9*T2^3 - 314*T2^4 + 168*T1*T2^4 + 3227*T1^2*T2^4 - 
      6526*T1^3*T2^4 + 4910*T1^4*T2^4 + 3740*T1^5*T2^4 - 6462*T1^6*T2^4 + 
      3572*T1^7*T2^4 + 241*T1^8*T2^4 - 580*T1^9*T2^4 + 86*T1^10*T2^4 + 
      138*T2^5 + 422*T1*T2^5 - 2868*T1^2*T2^5 + 2296*T1^3*T2^5 + 
      3740*T1^4*T2^5 - 11690*T1^5*T2^5 + 7890*T1^6*T2^5 + 165*T1^7*T2^5 - 
      3974*T1^8*T2^5 + 1807*T1^9*T2^5 - 18*T1^10*T2^5 - 82*T1^11*T2^5 - 
      25*T2^6 - 382*T1*T2^6 + 1109*T1^2*T2^6 + 1429*T1^3*T2^6 - 
      6462*T1^4*T2^6 + 7890*T1^5*T2^6 + 1308*T1^6*T2^6 - 8742*T1^7*T2^6 + 
      6916*T1^8*T2^6 - 1013*T1^9*T2^6 - 1115*T1^10*T2^6 + 322*T1^11*T2^6 + 
      23*T1^12*T2^6 + 94*T1*T2^7 + 114*T1^2*T2^7 - 2043*T1^3*T2^7 + 
      3572*T1^4*T2^7 + 165*T1^5*T2^7 - 8742*T1^6*T2^7 + 10838*T1^7*T2^7 - 
      3410*T1^8*T2^7 - 2698*T1^9*T2^7 + 2632*T1^10*T2^7 - 326*T1^11*T2^7 - 
      126*T1^12*T2^7 - 114*T1^2*T2^8 + 520*T1^3*T2^8 + 241*T1^4*T2^8 - 
      3974*T1^5*T2^8 + 6916*T1^6*T2^8 - 3410*T1^7*T2^8 - 4456*T1^8*T2^8 + 
      6124*T1^9*T2^8 - 2745*T1^10*T2^8 - 228*T1^11*T2^8 + 286*T1^12*T2^8 + 
      19*T1^3*T2^9 - 580*T1^4*T2^9 + 1807*T1^5*T2^9 - 1013*T1^6*T2^9 - 
      2698*T1^7*T2^9 + 6124*T1^8*T2^9 - 3983*T1^9*T2^9 + 432*T1^10*T2^9 + 
      1048*T1^11*T2^9 - 377*T1^12*T2^9 + 86*T1^4*T2^10 - 18*T1^5*T2^10 - 
      1115*T1^6*T2^10 + 2632*T1^7*T2^10 - 2745*T1^8*T2^10 + 432*T1^9*T2^10 + 
      1185*T1^10*T2^10 - 1118*T1^11*T2^10 + 286*T1^12*T2^10 - 82*T1^5*T2^11 + 
      322*T1^6*T2^11 - 326*T1^7*T2^11 - 228*T1^8*T2^11 + 1048*T1^9*T2^11 - 
      1118*T1^10*T2^11 + 608*T1^11*T2^11 - 126*T1^12*T2^11 + 23*T1^6*T2^12 - 
      126*T1^7*T2^12 + 286*T1^8*T2^12 - 377*T1^9*T2^12 + 286*T1^10*T2^12 - 
      126*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 266] -> 
  {(1 - 7*T + 23*T^2 - 45*T^3 + 57*T^4 - 45*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 92*T1^2 + 180*T1^3 - 228*T1^4 + 180*T1^5 - 92*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 497*T1^2*T2 - 777*T1^3*T2 + 
     651*T1^4*T2 - 63*T1^5*T2 - 301*T1^6*T2 + 287*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 92*T2^2 + 497*T1*T2^2 - 1131*T1^2*T2^2 + 1071*T1^3*T2^2 + 
     337*T1^4*T2^2 - 2199*T1^5*T2^2 + 1901*T1^6*T2^2 - 677*T1^7*T2^2 - 
     119*T1^8*T2^2 + 175*T1^9*T2^2 - 46*T1^10*T2^2 + 180*T2^3 - 777*T1*T2^3 + 
     1071*T1^2*T2^3 + 836*T1^3*T2^3 - 4444*T1^4*T2^3 + 5998*T1^5*T2^3 - 
     1244*T1^6*T2^3 - 2136*T1^7*T2^3 + 2216*T1^8*T2^3 - 746*T1^9*T2^3 + 
     7*T1^10*T2^3 + 45*T1^11*T2^3 - 228*T2^4 + 651*T1*T2^4 + 337*T1^2*T2^4 - 
     4444*T1^3*T2^4 + 7471*T1^4*T2^4 - 3211*T1^5*T2^4 - 8845*T1^6*T2^4 + 
     9545*T1^7*T2^4 - 3701*T1^8*T2^4 - 844*T1^9*T2^4 + 1171*T1^10*T2^4 - 
     315*T1^11*T2^4 + 180*T2^5 - 63*T1*T2^5 - 2199*T1^2*T2^5 + 
     5998*T1^3*T2^5 - 3211*T1^4*T2^5 - 9407*T1^5*T2^5 + 21907*T1^6*T2^5 - 
     9017*T1^7*T2^5 - 5285*T1^8*T2^5 + 7976*T1^9*T2^5 - 3128*T1^10*T2^5 - 
     30*T1^11*T2^5 + 315*T1^12*T2^5 - 45*T1^13*T2^5 - 92*T2^6 - 301*T1*T2^6 + 
     1901*T1^2*T2^6 - 1244*T1^3*T2^6 - 8845*T1^4*T2^6 + 21907*T1^5*T2^6 - 
     19608*T1^6*T2^6 - 11442*T1^7*T2^6 + 24696*T1^8*T2^6 - 13379*T1^9*T2^6 + 
     5*T1^10*T2^6 + 3172*T1^11*T2^6 - 1123*T1^12*T2^6 - 7*T1^13*T2^6 + 
     46*T1^14*T2^6 + 28*T2^7 + 287*T1*T2^7 - 677*T1^2*T2^7 - 2136*T1^3*T2^7 + 
     9545*T1^4*T2^7 - 9017*T1^5*T2^7 - 11442*T1^6*T2^7 + 41564*T1^7*T2^7 - 
     32684*T1^8*T2^7 + 161*T1^9*T2^7 + 13183*T1^10*T2^7 - 7918*T1^11*T2^7 + 
     724*T1^12*T2^7 + 726*T1^13*T2^7 - 175*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 119*T1^2*T2^8 + 2216*T1^3*T2^8 - 3701*T1^4*T2^8 - 
     5285*T1^5*T2^8 + 24696*T1^6*T2^8 - 32684*T1^7*T2^8 + 2688*T1^8*T2^8 + 
     31020*T1^9*T2^8 - 23754*T1^10*T2^8 + 4993*T1^11*T2^8 + 3843*T1^12*T2^8 - 
     2144*T1^13*T2^8 + 123*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 175*T1^2*T2^9 - 746*T1^3*T2^9 - 844*T1^4*T2^9 + 
     7976*T1^5*T2^9 - 13379*T1^6*T2^9 + 161*T1^7*T2^9 + 31020*T1^8*T2^9 - 
     43228*T1^9*T2^9 + 11764*T1^10*T2^9 + 8821*T1^11*T2^9 - 9487*T1^12*T2^9 + 
     2016*T1^13*T2^9 + 657*T1^14*T2^9 - 287*T1^15*T2^9 - 28*T1^16*T2^9 - 
     46*T1^2*T2^10 + 7*T1^3*T2^10 + 1171*T1^4*T2^10 - 3128*T1^5*T2^10 + 
     5*T1^6*T2^10 + 13183*T1^7*T2^10 - 23754*T1^8*T2^10 + 11764*T1^9*T2^10 + 
     20550*T1^10*T2^10 - 22103*T1^11*T2^10 + 8855*T1^12*T2^10 + 
     1288*T1^13*T2^10 - 1853*T1^14*T2^10 + 301*T1^15*T2^10 + 92*T1^16*T2^10 + 
     45*T1^3*T2^11 - 315*T1^4*T2^11 - 30*T1^5*T2^11 + 3172*T1^6*T2^11 - 
     7918*T1^7*T2^11 + 4993*T1^8*T2^11 + 8821*T1^9*T2^11 - 
     22103*T1^10*T2^11 + 9115*T1^11*T2^11 + 3269*T1^12*T2^11 - 
     5954*T1^13*T2^11 + 2139*T1^14*T2^11 + 63*T1^15*T2^11 - 180*T1^16*T2^11 + 
     315*T1^5*T2^12 - 1123*T1^6*T2^12 + 724*T1^7*T2^12 + 3843*T1^8*T2^12 - 
     9487*T1^9*T2^12 + 8855*T1^10*T2^12 + 3269*T1^11*T2^12 - 
     7329*T1^12*T2^12 + 4324*T1^13*T2^12 - 289*T1^14*T2^12 - 
     651*T1^15*T2^12 + 228*T1^16*T2^12 - 45*T1^5*T2^13 - 7*T1^6*T2^13 + 
     726*T1^7*T2^13 - 2144*T1^8*T2^13 + 2016*T1^9*T2^13 + 1288*T1^10*T2^13 - 
     5954*T1^11*T2^13 + 4324*T1^12*T2^13 - 764*T1^13*T2^13 - 
     1091*T1^14*T2^13 + 777*T1^15*T2^13 - 180*T1^16*T2^13 + 46*T1^6*T2^14 - 
     175*T1^7*T2^14 + 123*T1^8*T2^14 + 657*T1^9*T2^14 - 1853*T1^10*T2^14 + 
     2139*T1^11*T2^14 - 289*T1^12*T2^14 - 1091*T1^13*T2^14 + 
     1135*T1^14*T2^14 - 497*T1^15*T2^14 + 92*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 287*T1^9*T2^15 + 301*T1^10*T2^15 + 63*T1^11*T2^15 - 
     651*T1^12*T2^15 + 777*T1^13*T2^15 - 497*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 92*T1^10*T2^16 - 
     180*T1^11*T2^16 + 228*T1^12*T2^16 - 180*T1^13*T2^16 + 92*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 267] -> 
  {-((1 - 7*T + 22*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 123*T1^3 - 147*T1^4 + 123*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      553*T1^3*T2 + 455*T1^4*T2 - 175*T1^5*T2 - 112*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 787*T1^2*T2^2 + 
      702*T1^3*T2^2 + 299*T1^4*T2^2 - 1189*T1^5*T2^2 + 1487*T1^6*T2^2 - 
      794*T1^7*T2^2 + 137*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      123*T2^3 - 553*T1*T2^3 + 702*T1^2*T2^3 + 647*T1^3*T2^3 - 
      3176*T1^4*T2^3 + 3702*T1^5*T2^3 - 2409*T1^6*T2^3 - 362*T1^7*T2^3 + 
      1347*T1^8*T2^3 - 772*T1^9*T2^3 + 154*T1^10*T2^3 - 147*T2^4 + 
      455*T1*T2^4 + 299*T1^2*T2^4 - 3176*T1^3*T2^4 + 5683*T1^4*T2^4 - 
      2710*T1^5*T2^4 - 2013*T1^6*T2^4 + 6124*T1^7*T2^4 - 4425*T1^8*T2^4 + 
      842*T1^9*T2^4 + 593*T1^10*T2^4 - 343*T1^11*T2^4 + 49*T1^12*T2^4 + 
      123*T2^5 - 175*T1*T2^5 - 1189*T1^2*T2^5 + 3702*T1^3*T2^5 - 
      2710*T1^4*T2^5 - 5614*T1^5*T2^5 + 11326*T1^6*T2^5 - 10972*T1^7*T2^5 + 
      2198*T1^8*T2^5 + 4305*T1^9*T2^5 - 3315*T1^10*T2^5 + 602*T1^11*T2^5 + 
      231*T1^12*T2^5 - 82*T1^13*T2^5 - 66*T2^6 - 112*T1*T2^6 + 
      1487*T1^2*T2^6 - 2409*T1^3*T2^6 - 2013*T1^4*T2^6 + 11326*T1^5*T2^6 - 
      11331*T1^6*T2^6 + 1789*T1^7*T2^6 + 10621*T1^8*T2^6 - 12286*T1^9*T2^6 + 
      2663*T1^10*T2^6 + 2343*T1^11*T2^6 - 1489*T1^12*T2^6 + 112*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 794*T1^2*T2^7 - 362*T1^3*T2^7 + 
      6124*T1^4*T2^7 - 10972*T1^5*T2^7 + 1789*T1^6*T2^7 + 13710*T1^7*T2^7 - 
      18560*T1^8*T2^7 + 8082*T1^9*T2^7 + 8698*T1^10*T2^7 - 8167*T1^11*T2^7 + 
      1640*T1^12*T2^7 + 812*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 137*T1^2*T2^8 + 1347*T1^3*T2^8 - 4425*T1^4*T2^8 + 
      2198*T1^5*T2^8 + 10621*T1^6*T2^8 - 18560*T1^7*T2^8 + 5340*T1^8*T2^8 + 
      12508*T1^9*T2^8 - 22637*T1^10*T2^8 + 7502*T1^11*T2^8 + 
      2971*T1^12*T2^8 - 2703*T1^13*T2^8 + 191*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 56*T1^2*T2^9 - 772*T1^3*T2^9 + 
      842*T1^4*T2^9 + 4305*T1^5*T2^9 - 12286*T1^6*T2^9 + 8082*T1^7*T2^9 + 
      12508*T1^8*T2^9 - 19762*T1^9*T2^9 + 14375*T1^10*T2^9 + 
      7384*T1^11*T2^9 - 9986*T1^12*T2^9 + 2844*T1^13*T2^9 + 834*T1^14*T2^9 - 
      371*T1^15*T2^9 - 35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 
      593*T1^4*T2^10 - 3315*T1^5*T2^10 + 2663*T1^6*T2^10 + 8698*T1^7*T2^10 - 
      22637*T1^8*T2^10 + 14375*T1^9*T2^10 - 685*T1^10*T2^10 - 
      14914*T1^11*T2^10 + 7339*T1^12*T2^10 + 1437*T1^13*T2^10 - 
      2383*T1^14*T2^10 + 378*T1^15*T2^10 + 110*T1^16*T2^10 - 343*T1^4*T2^11 + 
      602*T1^5*T2^11 + 2343*T1^6*T2^11 - 8167*T1^7*T2^11 + 7502*T1^8*T2^11 + 
      7384*T1^9*T2^11 - 14914*T1^10*T2^11 + 15314*T1^11*T2^11 - 
      1152*T1^12*T2^11 - 4674*T1^13*T2^11 + 2393*T1^14*T2^11 + 
      63*T1^15*T2^11 - 205*T1^16*T2^11 + 49*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1489*T1^6*T2^12 + 1640*T1^7*T2^12 + 2971*T1^8*T2^12 - 9986*T1^9*T2^12 + 
      7339*T1^10*T2^12 - 1152*T1^11*T2^12 - 7137*T1^12*T2^12 + 
      5658*T1^13*T2^12 - 1195*T1^14*T2^12 - 567*T1^15*T2^12 + 
      245*T1^16*T2^12 - 82*T1^5*T2^13 + 112*T1^6*T2^13 + 812*T1^7*T2^13 - 
      2703*T1^8*T2^13 + 2844*T1^9*T2^13 + 1437*T1^10*T2^13 - 
      4674*T1^11*T2^13 + 5658*T1^12*T2^13 - 2003*T1^13*T2^13 - 
      662*T1^14*T2^13 + 819*T1^15*T2^13 - 205*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 191*T1^8*T2^14 + 834*T1^9*T2^14 - 2383*T1^10*T2^14 + 
      2393*T1^11*T2^14 - 1195*T1^12*T2^14 - 662*T1^13*T2^14 + 
      1115*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 378*T1^10*T2^15 + 63*T1^11*T2^15 - 
      567*T1^12*T2^15 + 819*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      205*T1^11*T2^16 + 245*T1^12*T2^16 - 205*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 268] -> 
  {-((1 - 6*T + 17*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 85*T1^2 + 145*T1^3 - 165*T1^4 + 145*T1^5 - 
      85*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 
      462*T1^3*T2 + 294*T1^4*T2 - 78*T1^5*T2 - 186*T1^6*T2 + 228*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 630*T1^2*T2^2 + 
      315*T1^3*T2^2 + 522*T1^4*T2^2 - 836*T1^5*T2^2 + 1066*T1^6*T2^2 - 
      467*T1^7*T2^2 - 86*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 
      145*T2^3 - 462*T1*T2^3 + 315*T1^2*T2^3 + 979*T1^3*T2^3 - 
      2240*T1^4*T2^3 + 1419*T1^5*T2^3 - 903*T1^6*T2^3 - 941*T1^7*T2^3 + 
      1243*T1^8*T2^3 - 450*T1^9*T2^3 - 42*T1^10*T2^3 + 58*T1^11*T2^3 - 
      165*T2^4 + 294*T1*T2^4 + 522*T1^2*T2^4 - 2240*T1^3*T2^4 + 
      2104*T1^4*T2^4 + 1276*T1^5*T2^4 - 1986*T1^6*T2^4 + 3808*T1^7*T2^4 - 
      1676*T1^8*T2^4 - 500*T1^9*T2^4 + 678*T1^10*T2^4 - 150*T1^11*T2^4 - 
      33*T1^12*T2^4 + 145*T2^5 - 78*T1*T2^5 - 836*T1^2*T2^5 + 
      1419*T1^3*T2^5 + 1276*T1^4*T2^5 - 5630*T1^5*T2^5 + 3532*T1^6*T2^5 - 
      3045*T1^7*T2^5 - 1768*T1^8*T2^5 + 2972*T1^9*T2^5 - 1023*T1^10*T2^5 - 
      230*T1^11*T2^5 + 198*T1^12*T2^5 - 85*T2^6 - 186*T1*T2^6 + 
      1066*T1^2*T2^6 - 903*T1^3*T2^6 - 1986*T1^4*T2^6 + 3532*T1^5*T2^6 + 
      2326*T1^6*T2^6 - 3194*T1^7*T2^6 + 5902*T1^8*T2^6 - 2960*T1^9*T2^6 - 
      852*T1^10*T2^6 + 1239*T1^11*T2^6 - 254*T1^12*T2^6 - 102*T1^13*T2^6 + 
      17*T1^14*T2^6 + 30*T2^7 + 228*T1*T2^7 - 467*T1^2*T2^7 - 941*T1^3*T2^7 + 
      3808*T1^4*T2^7 - 3045*T1^5*T2^7 - 3194*T1^6*T2^7 + 1658*T1^7*T2^7 - 
      1078*T1^8*T2^7 - 2267*T1^9*T2^7 + 3702*T1^10*T2^7 - 1232*T1^11*T2^7 - 
      476*T1^12*T2^7 + 400*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 86*T1^2*T2^8 + 1243*T1^3*T2^8 - 1676*T1^4*T2^8 - 
      1768*T1^5*T2^8 + 5902*T1^6*T2^8 - 1078*T1^7*T2^8 - 1560*T1^8*T2^8 + 
      2654*T1^9*T2^8 - 1920*T1^10*T2^8 - 1484*T1^11*T2^8 + 1884*T1^12*T2^8 - 
      571*T1^13*T2^8 - 90*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 162*T1^2*T2^9 - 450*T1^3*T2^9 - 500*T1^4*T2^9 + 
      2972*T1^5*T2^9 - 2960*T1^6*T2^9 - 2267*T1^7*T2^9 + 2654*T1^8*T2^9 - 
      82*T1^9*T2^9 - 1340*T1^10*T2^9 + 3787*T1^11*T2^9 - 2068*T1^12*T2^9 - 
      35*T1^13*T2^9 + 417*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 
      51*T1^2*T2^10 - 42*T1^3*T2^10 + 678*T1^4*T2^10 - 1023*T1^5*T2^10 - 
      852*T1^6*T2^10 + 3702*T1^7*T2^10 - 1920*T1^8*T2^10 - 1340*T1^9*T2^10 + 
      1656*T1^10*T2^10 - 2790*T1^11*T2^10 + 282*T1^12*T2^10 + 
      1119*T1^13*T2^10 - 642*T1^14*T2^10 + 42*T1^15*T2^10 + 51*T1^16*T2^10 + 
      58*T1^3*T2^11 - 150*T1^4*T2^11 - 230*T1^5*T2^11 + 1239*T1^6*T2^11 - 
      1232*T1^7*T2^11 - 1484*T1^8*T2^11 + 3787*T1^9*T2^11 - 
      2790*T1^10*T2^11 + 2378*T1^11*T2^11 + 464*T1^12*T2^11 - 
      1203*T1^13*T2^11 + 376*T1^14*T2^11 + 126*T1^15*T2^11 - 87*T1^16*T2^11 - 
      33*T1^4*T2^12 + 198*T1^5*T2^12 - 254*T1^6*T2^12 - 476*T1^7*T2^12 + 
      1884*T1^8*T2^12 - 2068*T1^9*T2^12 + 282*T1^10*T2^12 + 464*T1^11*T2^12 - 
      1896*T1^12*T2^12 + 1264*T1^13*T2^12 - 98*T1^14*T2^12 - 
      246*T1^15*T2^12 + 99*T1^16*T2^12 - 102*T1^6*T2^13 + 400*T1^7*T2^13 - 
      571*T1^8*T2^13 - 35*T1^9*T2^13 + 1119*T1^10*T2^13 - 1203*T1^11*T2^13 + 
      1264*T1^12*T2^13 - 307*T1^13*T2^13 - 365*T1^14*T2^13 + 
      318*T1^15*T2^13 - 87*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 
      90*T1^8*T2^14 + 417*T1^9*T2^14 - 642*T1^10*T2^14 + 376*T1^11*T2^14 - 
      98*T1^12*T2^14 - 365*T1^13*T2^14 + 454*T1^14*T2^14 - 234*T1^15*T2^14 + 
      51*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 
      42*T1^10*T2^15 + 126*T1^11*T2^15 - 246*T1^12*T2^15 + 318*T1^13*T2^15 - 
      234*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 51*T1^10*T2^16 - 87*T1^11*T2^16 + 99*T1^12*T2^16 - 
      87*T1^13*T2^16 + 51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 269] -> 
  {-((1 - 6*T + 18*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 18*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 90*T1^2 + 160*T1^3 - 185*T1^4 + 160*T1^5 - 
      90*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 396*T1^2*T2 - 
      528*T1^3*T2 + 342*T1^4*T2 - 72*T1^5*T2 - 228*T1^6*T2 + 252*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 90*T2^2 + 396*T1*T2^2 - 807*T1^2*T2^2 + 
      601*T1^3*T2^2 + 331*T1^4*T2^2 - 759*T1^5*T2^2 + 1015*T1^6*T2^2 - 
      335*T1^7*T2^2 - 195*T1^8*T2^2 + 180*T1^9*T2^2 - 54*T1^10*T2^2 + 
      160*T2^3 - 528*T1*T2^3 + 601*T1^2*T2^3 + 802*T1^3*T2^3 - 
      2503*T1^4*T2^3 + 1704*T1^5*T2^3 - 948*T1^6*T2^3 - 1231*T1^7*T2^3 + 
      1378*T1^8*T2^3 - 371*T1^9*T2^3 - 60*T1^10*T2^3 + 64*T1^11*T2^3 - 
      185*T2^4 + 342*T1*T2^4 + 331*T1^2*T2^4 - 2503*T1^3*T2^4 + 
      2598*T1^4*T2^4 + 1809*T1^5*T2^4 - 3252*T1^6*T2^4 + 5257*T1^7*T2^4 - 
      2058*T1^8*T2^4 - 711*T1^9*T2^4 + 691*T1^10*T2^4 - 162*T1^11*T2^4 - 
      37*T1^12*T2^4 + 160*T2^5 - 72*T1*T2^5 - 759*T1^2*T2^5 + 
      1704*T1^3*T2^5 + 1809*T1^4*T2^5 - 8152*T1^5*T2^5 + 5961*T1^6*T2^5 - 
      4323*T1^7*T2^5 - 2710*T1^8*T2^5 + 4043*T1^9*T2^5 - 1132*T1^10*T2^5 - 
      219*T1^11*T2^5 + 222*T1^12*T2^5 - 90*T2^6 - 228*T1*T2^6 + 
      1015*T1^2*T2^6 - 948*T1^3*T2^6 - 3252*T1^4*T2^6 + 5961*T1^5*T2^6 + 
      2100*T1^6*T2^6 - 5084*T1^7*T2^6 + 9276*T1^8*T2^6 - 4479*T1^9*T2^6 - 
      1188*T1^10*T2^6 + 1428*T1^11*T2^6 - 317*T1^12*T2^6 - 108*T1^13*T2^6 + 
      18*T1^14*T2^6 + 30*T2^7 + 252*T1*T2^7 - 335*T1^2*T2^7 - 
      1231*T1^3*T2^7 + 5257*T1^4*T2^7 - 4323*T1^5*T2^7 - 5084*T1^6*T2^7 + 
      4692*T1^7*T2^7 - 3270*T1^8*T2^7 - 3124*T1^9*T2^7 + 5649*T1^10*T2^7 - 
      1833*T1^11*T2^7 - 423*T1^12*T2^7 + 421*T1^13*T2^7 - 36*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 195*T1^2*T2^8 + 1378*T1^3*T2^8 - 
      2058*T1^4*T2^8 - 2710*T1^5*T2^8 + 9276*T1^6*T2^8 - 3270*T1^7*T2^8 - 
      2280*T1^8*T2^8 + 5570*T1^9*T2^8 - 4084*T1^10*T2^8 - 1630*T1^11*T2^8 + 
      2366*T1^12*T2^8 - 718*T1^13*T2^8 - 51*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 180*T1^2*T2^9 - 371*T1^3*T2^9 - 
      711*T1^4*T2^9 + 4043*T1^5*T2^9 - 4479*T1^6*T2^9 - 3124*T1^7*T2^9 + 
      5570*T1^8*T2^9 - 2392*T1^9*T2^9 - 1164*T1^10*T2^9 + 5493*T1^11*T2^9 - 
      3047*T1^12*T2^9 + 97*T1^13*T2^9 + 385*T1^14*T2^9 - 108*T1^15*T2^9 - 
      18*T1^16*T2^9 - 54*T1^2*T2^10 - 60*T1^3*T2^10 + 691*T1^4*T2^10 - 
      1132*T1^5*T2^10 - 1188*T1^6*T2^10 + 5649*T1^7*T2^10 - 4084*T1^8*T2^10 - 
      1164*T1^9*T2^10 + 3092*T1^10*T2^10 - 4791*T1^11*T2^10 + 
      876*T1^12*T2^10 + 1244*T1^13*T2^10 - 641*T1^14*T2^10 + 60*T1^15*T2^10 + 
      54*T1^16*T2^10 + 64*T1^3*T2^11 - 162*T1^4*T2^11 - 219*T1^5*T2^11 + 
      1428*T1^6*T2^11 - 1833*T1^7*T2^11 - 1630*T1^8*T2^11 + 5493*T1^9*T2^11 - 
      4791*T1^10*T2^11 + 3812*T1^11*T2^11 + 401*T1^12*T2^11 - 
      1408*T1^13*T2^11 + 321*T1^14*T2^11 + 132*T1^15*T2^11 - 96*T1^16*T2^11 - 
      37*T1^4*T2^12 + 222*T1^5*T2^12 - 317*T1^6*T2^12 - 423*T1^7*T2^12 + 
      2366*T1^8*T2^12 - 3047*T1^9*T2^12 + 876*T1^10*T2^12 + 401*T1^11*T2^12 - 
      2290*T1^12*T2^12 + 1369*T1^13*T2^12 + 43*T1^14*T2^12 - 
      282*T1^15*T2^12 + 111*T1^16*T2^12 - 108*T1^6*T2^13 + 421*T1^7*T2^13 - 
      718*T1^8*T2^13 + 97*T1^9*T2^13 + 1244*T1^10*T2^13 - 1408*T1^11*T2^13 + 
      1369*T1^12*T2^13 - 142*T1^13*T2^13 - 551*T1^14*T2^13 + 
      360*T1^15*T2^13 - 96*T1^16*T2^13 + 18*T1^6*T2^14 - 36*T1^7*T2^14 - 
      51*T1^8*T2^14 + 385*T1^9*T2^14 - 641*T1^10*T2^14 + 321*T1^11*T2^14 + 
      43*T1^12*T2^14 - 551*T1^13*T2^14 + 561*T1^14*T2^14 - 252*T1^15*T2^14 + 
      54*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 108*T1^9*T2^15 + 
      60*T1^10*T2^15 + 132*T1^11*T2^15 - 282*T1^12*T2^15 + 360*T1^13*T2^15 - 
      252*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 54*T1^10*T2^16 - 96*T1^11*T2^16 + 111*T1^12*T2^16 - 
      96*T1^13*T2^16 + 54*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 270] -> 
  {-((2 - 12*T + 32*T^2 - 45*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-25 + 150*T1 - 400*T1^2 + 563*T1^3 - 400*T1^4 + 150*T1^5 - 25*T1^6 + 
      150*T2 - 798*T1*T2 + 1788*T1^2*T2 - 1746*T1^3*T2 + 102*T1^4*T2 + 
      732*T1^5*T2 - 462*T1^6*T2 + 102*T1^7*T2 - 400*T2^2 + 1788*T1*T2^2 - 
      2872*T1^2*T2^2 + 101*T1^3*T2^2 + 5034*T1^4*T2^2 - 4123*T1^5*T2^2 + 
      968*T1^6*T2^2 + 252*T1^7*T2^2 - 144*T1^8*T2^2 + 563*T2^3 - 
      1746*T1*T2^3 + 101*T1^2*T2^3 + 8132*T1^3*T2^3 - 13927*T1^4*T2^3 + 
      3761*T1^5*T2^3 + 3926*T1^6*T2^3 - 3163*T1^7*T2^3 + 726*T1^8*T2^3 + 
      23*T1^9*T2^3 - 400*T2^4 + 102*T1*T2^4 + 5034*T1^2*T2^4 - 
      13927*T1^3*T2^4 + 9754*T1^4*T2^4 + 13746*T1^5*T2^4 - 18206*T1^6*T2^4 + 
      6953*T1^7*T2^4 + 266*T1^8*T2^4 - 810*T1^9*T2^4 + 112*T1^10*T2^4 + 
      150*T2^5 + 732*T1*T2^5 - 4123*T1^2*T2^5 + 3761*T1^3*T2^5 + 
      13746*T1^4*T2^5 - 37260*T1^5*T2^5 + 24612*T1^6*T2^5 + 690*T1^7*T2^5 - 
      7543*T1^8*T2^5 + 2981*T1^9*T2^5 - 132*T1^10*T2^5 - 90*T1^11*T2^5 - 
      25*T2^6 - 462*T1*T2^6 + 968*T1^2*T2^6 + 3926*T1^3*T2^6 - 
      18206*T1^4*T2^6 + 24612*T1^5*T2^6 + 1776*T1^6*T2^6 - 25980*T1^7*T2^6 + 
      18082*T1^8*T2^6 - 3298*T1^9*T2^6 - 1080*T1^10*T2^6 + 402*T1^11*T2^6 + 
      23*T1^12*T2^6 + 102*T1*T2^7 + 252*T1^2*T2^7 - 3163*T1^3*T2^7 + 
      6953*T1^4*T2^7 + 690*T1^5*T2^7 - 25980*T1^6*T2^7 + 35892*T1^7*T2^7 - 
      12366*T1^8*T2^7 - 4351*T1^9*T2^7 + 3941*T1^10*T2^7 - 612*T1^11*T2^7 - 
      138*T1^12*T2^7 - 144*T1^2*T2^8 + 726*T1^3*T2^8 + 266*T1^4*T2^8 - 
      7543*T1^5*T2^8 + 18082*T1^6*T2^8 - 12366*T1^7*T2^8 - 9878*T1^8*T2^8 + 
      13337*T1^9*T2^8 - 4502*T1^10*T2^8 - 186*T1^11*T2^8 + 368*T1^12*T2^8 + 
      23*T1^3*T2^9 - 810*T1^4*T2^9 + 2981*T1^5*T2^9 - 3298*T1^6*T2^9 - 
      4351*T1^7*T2^9 + 13337*T1^8*T2^9 - 7504*T1^9*T2^9 - 283*T1^10*T2^9 + 
      1662*T1^11*T2^9 - 517*T1^12*T2^9 + 112*T1^4*T2^10 - 132*T1^5*T2^10 - 
      1080*T1^6*T2^10 + 3941*T1^7*T2^10 - 4502*T1^8*T2^10 - 283*T1^9*T2^10 + 
      2760*T1^10*T2^10 - 1668*T1^11*T2^10 + 368*T1^12*T2^10 - 90*T1^5*T2^11 + 
      402*T1^6*T2^11 - 612*T1^7*T2^11 - 186*T1^8*T2^11 + 1662*T1^9*T2^11 - 
      1668*T1^10*T2^11 + 738*T1^11*T2^11 - 138*T1^12*T2^11 + 23*T1^6*T2^12 - 
      138*T1^7*T2^12 + 368*T1^8*T2^12 - 517*T1^9*T2^12 + 368*T1^10*T2^12 - 
      138*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 271] -> 
  {((1 - T + T^2)*(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4))/T^3, 
   (-111 + 628*T1 - 1474*T1^2 + 1875*T1^3 - 1474*T1^4 + 628*T1^5 - 111*T1^6 + 
     628*T2 - 3079*T1*T2 + 5658*T1^2*T2 - 4314*T1^3*T2 + 327*T1^4*T2 + 
     2751*T1^5*T2 - 2059*T1^6*T2 + 475*T1^7*T2 - 1474*T2^2 + 5658*T1*T2^2 - 
     5139*T1^2*T2^2 - 6528*T1^3*T2^2 + 15883*T1^4*T2^2 - 14688*T1^5*T2^2 + 
     3741*T1^6*T2^2 + 1578*T1^7*T2^2 - 754*T1^8*T2^2 + 1875*T2^3 - 
     4314*T1*T2^3 - 6528*T1^2*T2^3 + 28583*T1^3*T2^3 - 28044*T1^4*T2^3 + 
     7673*T1^5*T2^3 + 14609*T1^6*T2^3 - 11288*T1^7*T2^3 + 1449*T1^8*T2^3 + 
     498*T1^9*T2^3 - 1474*T2^4 + 327*T1*T2^4 + 15883*T1^2*T2^4 - 
     28044*T1^3*T2^4 - 1145*T1^4*T2^4 + 34515*T1^5*T2^4 - 42341*T1^6*T2^4 + 
     11634*T1^7*T2^4 + 5605*T1^8*T2^4 - 2631*T1^9*T2^4 - 34*T1^10*T2^4 + 
     628*T2^5 + 2751*T1*T2^5 - 14688*T1^2*T2^5 + 7673*T1^3*T2^5 + 
     34515*T1^4*T2^5 - 49483*T1^5*T2^5 + 24977*T1^6*T2^5 + 18195*T1^7*T2^5 - 
     20122*T1^8*T2^5 + 3672*T1^9*T2^5 + 966*T1^10*T2^5 - 137*T1^11*T2^5 - 
     111*T2^6 - 2059*T1*T2^6 + 3741*T1^2*T2^6 + 14609*T1^3*T2^6 - 
     42341*T1^4*T2^6 + 24977*T1^5*T2^6 + 16776*T1^6*T2^6 - 41969*T1^7*T2^6 + 
     19263*T1^8*T2^6 + 3695*T1^9*T2^6 - 4151*T1^10*T2^6 + 491*T1^11*T2^6 + 
     51*T1^12*T2^6 + 475*T1*T2^7 + 1578*T1^2*T2^7 - 11288*T1^3*T2^7 + 
     11634*T1^4*T2^7 + 18195*T1^5*T2^7 - 41969*T1^6*T2^7 + 32491*T1^7*T2^7 + 
     1875*T1^8*T2^7 - 16161*T1^9*T2^7 + 7072*T1^10*T2^7 - 207*T1^11*T2^7 - 
     290*T1^12*T2^7 - 754*T1^2*T2^8 + 1449*T1^3*T2^8 + 5605*T1^4*T2^8 - 
     20122*T1^5*T2^8 + 19263*T1^6*T2^8 + 1875*T1^7*T2^8 - 21933*T1^8*T2^8 + 
     19556*T1^9*T2^8 - 4673*T1^10*T2^8 - 1509*T1^11*T2^8 + 686*T1^12*T2^8 + 
     498*T1^3*T2^9 - 2631*T1^4*T2^9 + 3672*T1^5*T2^9 + 3695*T1^6*T2^9 - 
     16161*T1^7*T2^9 + 19556*T1^8*T2^9 - 10279*T1^9*T2^9 - 1088*T1^10*T2^9 + 
     3132*T1^11*T2^9 - 879*T1^12*T2^9 - 34*T1^4*T2^10 + 966*T1^5*T2^10 - 
     4151*T1^6*T2^10 + 7072*T1^7*T2^10 - 4673*T1^8*T2^10 - 1088*T1^9*T2^10 + 
     4729*T1^10*T2^10 - 3114*T1^11*T2^10 + 686*T1^12*T2^10 - 137*T1^5*T2^11 + 
     491*T1^6*T2^11 - 207*T1^7*T2^11 - 1509*T1^8*T2^11 + 3132*T1^9*T2^11 - 
     3114*T1^10*T2^11 + 1511*T1^11*T2^11 - 290*T1^12*T2^11 + 51*T1^6*T2^12 - 
     290*T1^7*T2^12 + 686*T1^8*T2^12 - 879*T1^9*T2^12 + 686*T1^10*T2^12 - 
     290*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 272] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 162*T1 - 436*T1^2 + 611*T1^3 - 436*T1^4 + 162*T1^5 - 25*T1^6 + 
      162*T2 - 940*T1*T2 + 2114*T1^2*T2 - 2044*T1^3*T2 + 140*T1^4*T2 + 
      866*T1^5*T2 - 550*T1^6*T2 + 110*T1^7*T2 - 436*T2^2 + 2114*T1*T2^2 - 
      3158*T1^2*T2^2 - 708*T1^3*T2^2 + 7016*T1^4*T2^2 - 5748*T1^5*T2^2 + 
      1462*T1^6*T2^2 + 294*T1^7*T2^2 - 156*T1^8*T2^2 + 611*T2^3 - 
      2044*T1*T2^3 - 708*T1^2*T2^3 + 11839*T1^3*T2^3 - 18685*T1^4*T2^3 + 
      5423*T1^5*T2^3 + 4993*T1^6*T2^3 - 4173*T1^7*T2^3 + 868*T1^8*T2^3 + 
      23*T1^9*T2^3 - 436*T2^4 + 140*T1*T2^4 + 7016*T1^2*T2^4 - 
      18685*T1^3*T2^4 + 12265*T1^4*T2^4 + 18061*T1^5*T2^4 - 24359*T1^6*T2^4 + 
      9637*T1^7*T2^4 + 254*T1^8*T2^4 - 952*T1^9*T2^4 + 124*T1^10*T2^4 + 
      162*T2^5 + 866*T1*T2^5 - 5748*T1^2*T2^5 + 5423*T1^3*T2^5 + 
      18061*T1^4*T2^5 - 48216*T1^5*T2^5 + 32274*T1^6*T2^5 + 806*T1^7*T2^5 - 
      10257*T1^8*T2^5 + 4017*T1^9*T2^5 - 174*T1^10*T2^5 - 98*T1^11*T2^5 - 
      25*T2^6 - 550*T1*T2^6 + 1462*T1^2*T2^6 + 4993*T1^3*T2^6 - 
      24359*T1^4*T2^6 + 32274*T1^5*T2^6 + 2184*T1^6*T2^6 - 33930*T1^7*T2^6 + 
      24207*T1^8*T2^6 - 4373*T1^9*T2^6 - 1586*T1^10*T2^6 + 490*T1^11*T2^6 + 
      23*T1^12*T2^6 + 110*T1*T2^7 + 294*T1^2*T2^7 - 4173*T1^3*T2^7 + 
      9637*T1^4*T2^7 + 806*T1^5*T2^7 - 33930*T1^6*T2^7 + 46560*T1^7*T2^7 - 
      16449*T1^8*T2^7 - 6043*T1^9*T2^7 + 5592*T1^10*T2^7 - 746*T1^11*T2^7 - 
      150*T1^12*T2^7 - 156*T1^2*T2^8 + 868*T1^3*T2^8 + 254*T1^4*T2^8 - 
      10257*T1^5*T2^8 + 24207*T1^6*T2^8 - 16449*T1^7*T2^8 - 12417*T1^8*T2^8 + 
      18065*T1^9*T2^8 - 6508*T1^10*T2^8 - 224*T1^11*T2^8 + 404*T1^12*T2^8 + 
      23*T1^3*T2^9 - 952*T1^4*T2^9 + 4017*T1^5*T2^9 - 4373*T1^6*T2^9 - 
      6043*T1^7*T2^9 + 18065*T1^8*T2^9 - 11219*T1^9*T2^9 + 552*T1^10*T2^9 + 
      1960*T1^11*T2^9 - 565*T1^12*T2^9 + 124*T1^4*T2^10 - 174*T1^5*T2^10 - 
      1586*T1^6*T2^10 + 5592*T1^7*T2^10 - 6508*T1^8*T2^10 + 552*T1^9*T2^10 + 
      3034*T1^10*T2^10 - 1994*T1^11*T2^10 + 404*T1^12*T2^10 - 98*T1^5*T2^11 + 
      490*T1^6*T2^11 - 746*T1^7*T2^11 - 224*T1^8*T2^11 + 1960*T1^9*T2^11 - 
      1994*T1^10*T2^11 + 880*T1^11*T2^11 - 150*T1^12*T2^11 + 23*T1^6*T2^12 - 
      150*T1^7*T2^12 + 404*T1^8*T2^12 - 565*T1^9*T2^12 + 404*T1^10*T2^12 - 
      150*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 273] -> 
  {((1 - T + T^2)*(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4))/T^3, 
   (-51 + 274*T1 - 639*T1^2 + 817*T1^3 - 639*T1^4 + 274*T1^5 - 51*T1^6 + 
     274*T2 - 1336*T1*T2 + 2709*T1^2*T2 - 2717*T1^3*T2 + 1315*T1^4*T2 + 
     165*T1^5*T2 - 424*T1^6*T2 + 130*T1^7*T2 - 639*T2^2 + 2709*T1*T2^2 - 
     4141*T1^2*T2^2 + 1267*T1^3*T2^2 + 3477*T1^4*T2^2 - 5615*T1^5*T2^2 + 
     3407*T1^6*T2^2 - 843*T1^7*T2^2 + 27*T1^8*T2^2 + 817*T2^3 - 
     2717*T1*T2^3 + 1267*T1^2*T2^3 + 7517*T1^3*T2^3 - 14888*T1^4*T2^3 + 
     12421*T1^5*T2^3 - 2709*T1^6*T2^3 - 3136*T1^7*T2^3 + 2275*T1^8*T2^3 - 
     452*T1^9*T2^3 - 639*T2^4 + 1315*T1*T2^4 + 3477*T1^2*T2^4 - 
     14888*T1^3*T2^4 + 16971*T1^4*T2^4 - 1733*T1^5*T2^4 - 14557*T1^6*T2^4 + 
     15380*T1^7*T2^4 - 4159*T1^8*T2^4 - 1277*T1^9*T2^4 + 693*T1^10*T2^4 + 
     274*T2^5 + 165*T1*T2^5 - 5615*T1^2*T2^5 + 12421*T1^3*T2^5 - 
     1733*T1^4*T2^5 - 24559*T1^5*T2^5 + 31949*T1^6*T2^5 - 13980*T1^7*T2^5 - 
     8970*T1^8*T2^5 + 8704*T1^9*T2^5 - 1323*T1^10*T2^5 - 446*T1^11*T2^5 - 
     51*T2^6 - 424*T1*T2^6 + 3407*T1^2*T2^6 - 2709*T1^3*T2^6 - 
     14557*T1^4*T2^6 + 31949*T1^5*T2^6 - 12756*T1^6*T2^6 - 18977*T1^7*T2^6 + 
     32405*T1^8*T2^6 - 11167*T1^9*T2^6 - 2765*T1^10*T2^6 + 1784*T1^11*T2^6 + 
     111*T1^12*T2^6 + 130*T1*T2^7 - 843*T1^2*T2^7 - 3136*T1^3*T2^7 + 
     15380*T1^4*T2^7 - 13980*T1^5*T2^7 - 18977*T1^6*T2^7 + 37531*T1^7*T2^7 - 
     26227*T1^8*T2^7 - 6011*T1^9*T2^7 + 11183*T1^10*T2^7 - 2331*T1^11*T2^7 - 
     590*T1^12*T2^7 + 27*T1^2*T2^8 + 2275*T1^3*T2^8 - 4159*T1^4*T2^8 - 
     8970*T1^5*T2^8 + 32405*T1^6*T2^8 - 26227*T1^7*T2^8 + 877*T1^8*T2^8 + 
     21298*T1^9*T2^8 - 11795*T1^10*T2^8 - 317*T1^11*T2^8 + 1359*T1^12*T2^8 - 
     452*T1^3*T2^9 - 1277*T1^4*T2^9 + 8704*T1^5*T2^9 - 11167*T1^6*T2^9 - 
     6011*T1^7*T2^9 + 21298*T1^8*T2^9 - 21393*T1^9*T2^9 + 4301*T1^10*T2^9 + 
     3715*T1^11*T2^9 - 1721*T1^12*T2^9 + 693*T1^4*T2^10 - 1323*T1^5*T2^10 - 
     2765*T1^6*T2^10 + 11183*T1^7*T2^10 - 11795*T1^8*T2^10 + 
     4301*T1^9*T2^10 + 4783*T1^10*T2^10 - 4875*T1^11*T2^10 + 
     1359*T1^12*T2^10 - 446*T1^5*T2^11 + 1784*T1^6*T2^11 - 2331*T1^7*T2^11 - 
     317*T1^8*T2^11 + 3715*T1^9*T2^11 - 4875*T1^10*T2^11 + 2696*T1^11*T2^11 - 
     590*T1^12*T2^11 + 111*T1^6*T2^12 - 590*T1^7*T2^12 + 1359*T1^8*T2^12 - 
     1721*T1^9*T2^12 + 1359*T1^10*T2^12 - 590*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 274] -> 
  {(1 - 6*T + 18*T^2 - 35*T^3 + 45*T^4 - 35*T^5 + 18*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 140*T1^3 - 180*T1^4 + 140*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 516*T1^3*T2 + 
     450*T1^4*T2 - 30*T1^5*T2 - 198*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 683*T1^2*T2^2 + 790*T1^3*T2^2 - 
     108*T1^4*T2^2 - 1075*T1^5*T2^2 + 864*T1^6*T2^2 - 254*T1^7*T2^2 - 
     71*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 140*T2^3 - 516*T1*T2^3 + 
     790*T1^2*T2^3 - 333*T1^3*T2^3 - 1342*T1^4*T2^3 + 2724*T1^5*T2^3 - 
     351*T1^6*T2^3 - 973*T1^7*T2^3 + 855*T1^8*T2^3 - 344*T1^9*T2^3 + 
     6*T1^10*T2^3 + 35*T1^11*T2^3 - 180*T2^4 + 450*T1*T2^4 - 108*T1^2*T2^4 - 
     1342*T1^3*T2^4 + 3518*T1^4*T2^4 - 3166*T1^5*T2^4 - 2854*T1^6*T2^4 + 
     2954*T1^7*T2^4 - 742*T1^8*T2^4 - 502*T1^9*T2^4 + 612*T1^10*T2^4 - 
     210*T1^11*T2^4 + 140*T2^5 - 30*T1*T2^5 - 1075*T1^2*T2^5 + 
     2724*T1^3*T2^5 - 3166*T1^4*T2^5 - 1137*T1^5*T2^5 + 8825*T1^6*T2^5 - 
     2845*T1^7*T2^5 - 2757*T1^8*T2^5 + 2999*T1^9*T2^5 - 1321*T1^10*T2^5 + 
     5*T1^11*T2^5 + 210*T1^12*T2^5 - 35*T1^13*T2^5 - 72*T2^6 - 198*T1*T2^6 + 
     864*T1^2*T2^6 - 351*T1^3*T2^6 - 2854*T1^4*T2^6 + 8825*T1^5*T2^6 - 
     10392*T1^6*T2^6 - 5270*T1^7*T2^6 + 10824*T1^8*T2^6 - 4975*T1^9*T2^6 + 
     146*T1^10*T2^6 + 1269*T1^11*T2^6 - 612*T1^12*T2^6 - 6*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 254*T1^2*T2^7 - 973*T1^3*T2^7 + 
     2954*T1^4*T2^7 - 2845*T1^5*T2^7 - 5270*T1^6*T2^7 + 21701*T1^7*T2^7 - 
     16795*T1^8*T2^7 + 499*T1^9*T2^7 + 4565*T1^10*T2^7 - 3031*T1^11*T2^7 + 
     542*T1^12*T2^7 + 340*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 71*T1^2*T2^8 + 855*T1^3*T2^8 - 742*T1^4*T2^8 - 
     2757*T1^5*T2^8 + 10824*T1^6*T2^8 - 16795*T1^7*T2^8 + 1968*T1^8*T2^8 + 
     15395*T1^9*T2^8 - 10618*T1^10*T2^8 + 2973*T1^11*T2^8 + 686*T1^12*T2^8 - 
     863*T1^13*T2^8 + 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 344*T1^3*T2^9 - 502*T1^4*T2^9 + 
     2999*T1^5*T2^9 - 4975*T1^6*T2^9 + 499*T1^7*T2^9 + 15395*T1^8*T2^9 - 
     23101*T1^9*T2^9 + 6268*T1^10*T2^9 + 2435*T1^11*T2^9 - 2986*T1^12*T2^9 + 
     1013*T1^13*T2^9 + 250*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 6*T1^3*T2^10 + 612*T1^4*T2^10 - 1321*T1^5*T2^10 + 
     146*T1^6*T2^10 + 4565*T1^7*T2^10 - 10618*T1^8*T2^10 + 6268*T1^9*T2^10 + 
     10598*T1^10*T2^10 - 9235*T1^11*T2^10 + 3146*T1^12*T2^10 + 
     299*T1^13*T2^10 - 864*T1^14*T2^10 + 198*T1^15*T2^10 + 72*T1^16*T2^10 + 
     35*T1^3*T2^11 - 210*T1^4*T2^11 + 5*T1^5*T2^11 + 1269*T1^6*T2^11 - 
     3031*T1^7*T2^11 + 2973*T1^8*T2^11 + 2435*T1^9*T2^11 - 9235*T1^10*T2^11 + 
     1353*T1^11*T2^11 + 3134*T1^12*T2^11 - 2776*T1^13*T2^11 + 
     1085*T1^14*T2^11 + 30*T1^15*T2^11 - 140*T1^16*T2^11 + 210*T1^5*T2^12 - 
     612*T1^6*T2^12 + 542*T1^7*T2^12 + 686*T1^8*T2^12 - 2986*T1^9*T2^12 + 
     3146*T1^10*T2^12 + 3134*T1^11*T2^12 - 3574*T1^12*T2^12 + 
     1382*T1^13*T2^12 + 108*T1^14*T2^12 - 450*T1^15*T2^12 + 180*T1^16*T2^12 - 
     35*T1^5*T2^13 - 6*T1^6*T2^13 + 340*T1^7*T2^13 - 863*T1^8*T2^13 + 
     1013*T1^9*T2^13 + 299*T1^10*T2^13 - 2776*T1^11*T2^13 + 
     1382*T1^12*T2^13 + 325*T1^13*T2^13 - 794*T1^14*T2^13 + 516*T1^15*T2^13 - 
     140*T1^16*T2^13 + 36*T1^6*T2^14 - 108*T1^7*T2^14 + 73*T1^8*T2^14 + 
     250*T1^9*T2^14 - 864*T1^10*T2^14 + 1085*T1^11*T2^14 + 108*T1^12*T2^14 - 
     794*T1^13*T2^14 + 685*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 
     18*T1^7*T2^15 + 84*T1^8*T2^15 - 180*T1^9*T2^15 + 198*T1^10*T2^15 + 
     30*T1^11*T2^15 - 450*T1^12*T2^15 + 516*T1^13*T2^15 - 324*T1^14*T2^15 + 
     126*T1^15*T2^15 - 24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 
     72*T1^10*T2^16 - 140*T1^11*T2^16 + 180*T1^12*T2^16 - 140*T1^13*T2^16 + 
     72*T1^14*T2^16 - 24*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 275] -> 
  {-((3 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 687*T1 - 1316*T1^2 + 1582*T1^3 - 1316*T1^4 + 687*T1^5 - 
      138*T1^6 + 687*T2 - 2875*T1*T2 + 3831*T1^2*T2 - 2645*T1^3*T2 + 
      235*T1^4*T2 + 1851*T1^5*T2 - 2065*T1^6*T2 + 552*T1^7*T2 - 1316*T2^2 + 
      3831*T1*T2^2 + 224*T1^2*T2^2 - 7107*T1^3*T2^2 + 11432*T1^4*T2^2 - 
      10587*T1^5*T2^2 + 4748*T1^6*T2^2 + 1221*T1^7*T2^2 - 794*T1^8*T2^2 + 
      1582*T2^3 - 2645*T1*T2^3 - 7107*T1^2*T2^3 + 13376*T1^3*T2^3 - 
      11083*T1^4*T2^3 + 2897*T1^5*T2^3 + 6206*T1^6*T2^3 - 8412*T1^7*T2^3 + 
      775*T1^8*T2^3 + 637*T1^9*T2^3 - 1316*T2^4 + 235*T1*T2^4 + 
      11432*T1^2*T2^4 - 11083*T1^3*T2^4 + 2341*T1^4*T2^4 + 6209*T1^5*T2^4 - 
      9611*T1^6*T2^4 + 4037*T1^7*T2^4 + 5774*T1^8*T2^4 - 1835*T1^9*T2^4 - 
      272*T1^10*T2^4 + 687*T2^5 + 1851*T1*T2^5 - 10587*T1^2*T2^5 + 
      2897*T1^3*T2^5 + 6209*T1^4*T2^5 - 7995*T1^5*T2^5 + 3595*T1^6*T2^5 + 
      4614*T1^7*T2^5 - 8803*T1^8*T2^5 - 582*T1^9*T2^5 + 1311*T1^10*T2^5 + 
      12*T1^11*T2^5 - 138*T2^6 - 2065*T1*T2^6 + 4748*T1^2*T2^6 + 
      6206*T1^3*T2^6 - 9611*T1^4*T2^6 + 3595*T1^5*T2^6 + 3504*T1^6*T2^6 - 
      7455*T1^7*T2^6 + 4187*T1^8*T2^6 + 5186*T1^9*T2^6 - 2140*T1^10*T2^6 - 
      175*T1^11*T2^6 + 24*T1^12*T2^6 + 552*T1*T2^7 + 1221*T1^2*T2^7 - 
      8412*T1^3*T2^7 + 4037*T1^4*T2^7 + 4614*T1^5*T2^7 - 7455*T1^6*T2^7 + 
      4135*T1^7*T2^7 + 3019*T1^8*T2^7 - 7663*T1^9*T2^7 + 1593*T1^10*T2^7 + 
      681*T1^11*T2^7 - 123*T1^12*T2^7 - 794*T1^2*T2^8 + 775*T1^3*T2^8 + 
      5774*T1^4*T2^8 - 8803*T1^5*T2^8 + 4187*T1^6*T2^8 + 3019*T1^7*T2^8 - 
      7765*T1^8*T2^8 + 6317*T1^9*T2^8 + 116*T1^10*T2^8 - 1295*T1^11*T2^8 + 
      250*T1^12*T2^8 + 637*T1^3*T2^9 - 1835*T1^4*T2^9 - 582*T1^5*T2^9 + 
      5186*T1^6*T2^9 - 7663*T1^7*T2^9 + 6317*T1^8*T2^9 - 1984*T1^9*T2^9 - 
      1887*T1^10*T2^9 + 1585*T1^11*T2^9 - 308*T1^12*T2^9 - 272*T1^4*T2^10 + 
      1311*T1^5*T2^10 - 2140*T1^6*T2^10 + 1593*T1^7*T2^10 + 116*T1^8*T2^10 - 
      1887*T1^9*T2^10 + 2384*T1^10*T2^10 - 1299*T1^11*T2^10 + 
      250*T1^12*T2^10 + 12*T1^5*T2^11 - 175*T1^6*T2^11 + 681*T1^7*T2^11 - 
      1295*T1^8*T2^11 + 1585*T1^9*T2^11 - 1299*T1^10*T2^11 + 
      635*T1^11*T2^11 - 123*T1^12*T2^11 + 24*T1^6*T2^12 - 123*T1^7*T2^12 + 
      250*T1^8*T2^12 - 308*T1^9*T2^12 + 250*T1^10*T2^12 - 123*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 276] -> 
  {-((3 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((-138 + 775*T1 - 1672*T1^2 + 2118*T1^3 - 1672*T1^4 + 775*T1^5 - 
      138*T1^6 + 775*T2 - 3737*T1*T2 + 5930*T1^2*T2 - 4408*T1^3*T2 - 
      124*T1^4*T2 + 3176*T1^5*T2 - 2717*T1^6*T2 + 622*T1^7*T2 - 1672*T2^2 + 
      5930*T1*T2^2 - 1855*T1^2*T2^2 - 10731*T1^3*T2^2 + 20973*T1^4*T2^2 - 
      17391*T1^5*T2^2 + 5693*T1^6*T2^2 + 2156*T1^7*T2^2 - 1006*T1^8*T2^2 + 
      2118*T2^3 - 4408*T1*T2^3 - 10731*T1^2*T2^3 + 28040*T1^3*T2^3 - 
      26764*T1^4*T2^3 + 3230*T1^5*T2^3 + 15224*T1^6*T2^3 - 13802*T1^7*T2^3 + 
      896*T1^8*T2^3 + 849*T1^9*T2^3 - 1672*T2^4 - 124*T1*T2^4 + 
      20973*T1^2*T2^4 - 26764*T1^3*T2^4 + 4447*T1^4*T2^4 + 26947*T1^5*T2^4 - 
      28397*T1^6*T2^4 + 6700*T1^7*T2^4 + 10235*T1^8*T2^4 - 2878*T1^9*T2^4 - 
      340*T1^10*T2^4 + 775*T2^5 + 3176*T1*T2^5 - 17391*T1^2*T2^5 + 
      3230*T1^3*T2^5 + 26947*T1^4*T2^5 - 38555*T1^5*T2^5 + 10723*T1^6*T2^5 + 
      17956*T1^7*T2^5 - 19824*T1^8*T2^5 + 36*T1^9*T2^5 + 1850*T1^10*T2^5 + 
      10*T1^11*T2^5 - 138*T2^6 - 2717*T1*T2^6 + 5693*T1^2*T2^6 + 
      15224*T1^3*T2^6 - 28397*T1^4*T2^6 + 10723*T1^5*T2^6 + 25020*T1^6*T2^6 - 
      33031*T1^7*T2^6 + 12361*T1^8*T2^6 + 8912*T1^9*T2^6 - 3747*T1^10*T2^6 - 
      167*T1^11*T2^6 + 24*T1^12*T2^6 + 622*T1*T2^7 + 2156*T1^2*T2^7 - 
      13802*T1^3*T2^7 + 6700*T1^4*T2^7 + 17956*T1^5*T2^7 - 33031*T1^6*T2^7 + 
      16247*T1^7*T2^7 + 8965*T1^8*T2^7 - 16354*T1^9*T2^7 + 3625*T1^10*T2^7 + 
      830*T1^11*T2^7 - 143*T1^12*T2^7 - 1006*T1^2*T2^8 + 896*T1^3*T2^8 + 
      10235*T1^4*T2^8 - 19824*T1^5*T2^8 + 12361*T1^6*T2^8 + 8965*T1^7*T2^8 - 
      20483*T1^8*T2^8 + 13640*T1^9*T2^8 - 503*T1^10*T2^8 - 1858*T1^11*T2^8 + 
      326*T1^12*T2^8 + 849*T1^3*T2^9 - 2878*T1^4*T2^9 + 36*T1^5*T2^9 + 
      8912*T1^6*T2^9 - 16354*T1^7*T2^9 + 13640*T1^8*T2^9 - 3904*T1^9*T2^9 - 
      3035*T1^10*T2^9 + 2426*T1^11*T2^9 - 420*T1^12*T2^9 - 340*T1^4*T2^10 + 
      1850*T1^5*T2^10 - 3747*T1^6*T2^10 + 3625*T1^7*T2^10 - 503*T1^8*T2^10 - 
      3035*T1^9*T2^10 + 3801*T1^10*T2^10 - 1924*T1^11*T2^10 + 
      326*T1^12*T2^10 + 10*T1^5*T2^11 - 167*T1^6*T2^11 + 830*T1^7*T2^11 - 
      1858*T1^8*T2^11 + 2426*T1^9*T2^11 - 1924*T1^10*T2^11 + 
      853*T1^11*T2^11 - 143*T1^12*T2^11 + 24*T1^6*T2^12 - 143*T1^7*T2^12 + 
      326*T1^8*T2^12 - 420*T1^9*T2^12 + 326*T1^10*T2^12 - 143*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 277] -> 
  {-((1 - 6*T + 17*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 85*T1^2 + 140*T1^3 - 155*T1^4 + 140*T1^5 - 
      85*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 
      432*T1^3*T2 + 258*T1^4*T2 - 96*T1^5*T2 - 162*T1^6*T2 + 228*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 632*T1^2*T2^2 + 
      233*T1^3*T2^2 + 547*T1^4*T2^2 - 678*T1^5*T2^2 + 1023*T1^6*T2^2 - 
      515*T1^7*T2^2 - 88*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 
      140*T2^3 - 432*T1*T2^3 + 233*T1^2*T2^3 + 1274*T1^3*T2^3 - 
      2290*T1^4*T2^3 + 1146*T1^5*T2^3 - 1092*T1^6*T2^3 - 808*T1^7*T2^3 + 
      1364*T1^8*T2^3 - 481*T1^9*T2^3 - 30*T1^10*T2^3 + 56*T1^11*T2^3 - 
      155*T2^4 + 258*T1*T2^4 + 547*T1^2*T2^4 - 2290*T1^3*T2^4 + 
      1282*T1^4*T2^4 + 2459*T1^5*T2^4 - 2154*T1^6*T2^4 + 4435*T1^7*T2^4 - 
      2390*T1^8*T2^4 - 386*T1^9*T2^4 + 639*T1^10*T2^4 - 150*T1^11*T2^4 - 
      31*T1^12*T2^4 + 140*T2^5 - 96*T1*T2^5 - 678*T1^2*T2^5 + 
      1146*T1^3*T2^5 + 2459*T1^4*T2^5 - 6310*T1^5*T2^5 + 2696*T1^6*T2^5 - 
      3498*T1^7*T2^5 - 1476*T1^8*T2^5 + 3353*T1^9*T2^5 - 1088*T1^10*T2^5 - 
      186*T1^11*T2^5 + 186*T1^12*T2^5 - 85*T2^6 - 162*T1*T2^6 + 
      1023*T1^2*T2^6 - 1092*T1^3*T2^6 - 2154*T1^4*T2^6 + 2696*T1^5*T2^6 + 
      3878*T1^6*T2^6 - 2244*T1^7*T2^6 + 5482*T1^8*T2^6 - 3188*T1^9*T2^6 - 
      944*T1^10*T2^6 + 1152*T1^11*T2^6 - 221*T1^12*T2^6 - 102*T1^13*T2^6 + 
      17*T1^14*T2^6 + 30*T2^7 + 228*T1*T2^7 - 515*T1^2*T2^7 - 808*T1^3*T2^7 + 
      4435*T1^4*T2^7 - 3498*T1^5*T2^7 - 2244*T1^6*T2^7 - 1626*T1^7*T2^7 - 
      14*T1^8*T2^7 - 1944*T1^9*T2^7 + 3316*T1^10*T2^7 - 787*T1^11*T2^7 - 
      602*T1^12*T2^7 + 403*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 88*T1^2*T2^8 + 1364*T1^3*T2^8 - 2390*T1^4*T2^8 - 
      1476*T1^5*T2^8 + 5482*T1^6*T2^8 - 14*T1^7*T2^8 + 732*T1^8*T2^8 - 
      86*T1^9*T2^8 - 246*T1^10*T2^8 - 2284*T1^11*T2^8 + 2054*T1^12*T2^8 - 
      556*T1^13*T2^8 - 92*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 162*T1^2*T2^9 - 481*T1^3*T2^9 - 386*T1^4*T2^9 + 
      3353*T1^5*T2^9 - 3188*T1^6*T2^9 - 1944*T1^7*T2^9 - 86*T1^8*T2^9 + 
      1526*T1^9*T2^9 - 1644*T1^10*T2^9 + 3626*T1^11*T2^9 - 1869*T1^12*T2^9 - 
      180*T1^13*T2^9 + 437*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 
      51*T1^2*T2^10 - 30*T1^3*T2^10 + 639*T1^4*T2^10 - 1088*T1^5*T2^10 - 
      944*T1^6*T2^10 + 3316*T1^7*T2^10 - 246*T1^8*T2^10 - 1644*T1^9*T2^10 + 
      1358*T1^10*T2^10 - 2568*T1^11*T2^10 + 266*T1^12*T2^10 + 
      1156*T1^13*T2^10 - 605*T1^14*T2^10 + 30*T1^15*T2^10 + 51*T1^16*T2^10 + 
      56*T1^3*T2^11 - 150*T1^4*T2^11 - 186*T1^5*T2^11 + 1152*T1^6*T2^11 - 
      787*T1^7*T2^11 - 2284*T1^8*T2^11 + 3626*T1^9*T2^11 - 2568*T1^10*T2^11 + 
      2550*T1^11*T2^11 + 107*T1^12*T2^11 - 1082*T1^13*T2^11 + 
      306*T1^14*T2^11 + 132*T1^15*T2^11 - 84*T1^16*T2^11 - 31*T1^4*T2^12 + 
      186*T1^5*T2^12 - 221*T1^6*T2^12 - 602*T1^7*T2^12 + 2054*T1^8*T2^12 - 
      1869*T1^9*T2^12 + 266*T1^10*T2^12 + 107*T1^11*T2^12 - 
      1618*T1^12*T2^12 + 1302*T1^13*T2^12 - 129*T1^14*T2^12 - 
      222*T1^15*T2^12 + 93*T1^16*T2^12 - 102*T1^6*T2^13 + 403*T1^7*T2^13 - 
      556*T1^8*T2^13 - 180*T1^9*T2^13 + 1156*T1^10*T2^13 - 1082*T1^11*T2^13 + 
      1302*T1^12*T2^13 - 466*T1^13*T2^13 - 311*T1^14*T2^13 + 
      300*T1^15*T2^13 - 84*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 
      92*T1^8*T2^14 + 437*T1^9*T2^14 - 605*T1^10*T2^14 + 306*T1^11*T2^14 - 
      129*T1^12*T2^14 - 311*T1^13*T2^14 + 452*T1^14*T2^14 - 234*T1^15*T2^14 + 
      51*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 
      30*T1^10*T2^15 + 132*T1^11*T2^15 - 222*T1^12*T2^15 + 300*T1^13*T2^15 - 
      234*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 51*T1^10*T2^16 - 84*T1^11*T2^16 + 93*T1^12*T2^16 - 
      84*T1^13*T2^16 + 51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 278] -> 
  {-((2 - 12*T + 33*T^2 - 47*T^3 + 33*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-25 + 150*T1 - 412*T1^2 + 587*T1^3 - 412*T1^4 + 150*T1^5 - 25*T1^6 + 
      150*T2 - 798*T1*T2 + 1860*T1^2*T2 - 1842*T1^3*T2 + 78*T1^4*T2 + 
      780*T1^5*T2 - 462*T1^6*T2 + 102*T1^7*T2 - 412*T2^2 + 1860*T1*T2^2 - 
      3274*T1^2*T2^2 + 478*T1^3*T2^2 + 5182*T1^4*T2^2 - 4142*T1^5*T2^2 + 
      818*T1^6*T2^2 + 276*T1^7*T2^2 - 148*T1^8*T2^2 + 587*T2^3 - 
      1842*T1*T2^3 + 478*T1^2*T2^3 + 8760*T1^3*T2^3 - 15536*T1^4*T2^3 + 
      3454*T1^5*T2^3 + 4758*T1^6*T2^3 - 3284*T1^7*T2^3 + 750*T1^8*T2^3 + 
      23*T1^9*T2^3 - 412*T2^4 + 78*T1*T2^4 + 5182*T1^2*T2^4 - 
      15536*T1^3*T2^4 + 9711*T1^4*T2^4 + 19317*T1^5*T2^4 - 21585*T1^6*T2^4 + 
      7024*T1^7*T2^4 + 358*T1^8*T2^4 - 834*T1^9*T2^4 + 116*T1^10*T2^4 + 
      150*T2^5 + 780*T1*T2^5 - 4142*T1^2*T2^5 + 3454*T1^3*T2^5 + 
      19317*T1^4*T2^5 - 46985*T1^5*T2^5 + 25315*T1^6*T2^5 + 3774*T1^7*T2^5 - 
      8396*T1^8*T2^5 + 3052*T1^9*T2^5 - 156*T1^10*T2^5 - 90*T1^11*T2^5 - 
      25*T2^6 - 462*T1*T2^6 + 818*T1^2*T2^6 + 4758*T1^3*T2^6 - 
      21585*T1^4*T2^6 + 25315*T1^5*T2^6 + 11280*T1^6*T2^6 - 33347*T1^7*T2^6 + 
      19653*T1^8*T2^6 - 3498*T1^9*T2^6 - 946*T1^10*T2^6 + 402*T1^11*T2^6 + 
      23*T1^12*T2^6 + 102*T1*T2^7 + 276*T1^2*T2^7 - 3284*T1^3*T2^7 + 
      7024*T1^4*T2^7 + 3774*T1^5*T2^7 - 33347*T1^6*T2^7 + 38953*T1^7*T2^7 - 
      11769*T1^8*T2^7 - 4826*T1^9*T2^7 + 3910*T1^10*T2^7 - 660*T1^11*T2^7 - 
      138*T1^12*T2^7 - 148*T1^2*T2^8 + 750*T1^3*T2^8 + 358*T1^4*T2^8 - 
      8396*T1^5*T2^8 + 19653*T1^6*T2^8 - 11769*T1^7*T2^8 - 11643*T1^8*T2^8 + 
      14164*T1^9*T2^8 - 4466*T1^10*T2^8 - 162*T1^11*T2^8 + 380*T1^12*T2^8 + 
      23*T1^3*T2^9 - 834*T1^4*T2^9 + 3052*T1^5*T2^9 - 3498*T1^6*T2^9 - 
      4826*T1^7*T2^9 + 14164*T1^8*T2^9 - 7500*T1^9*T2^9 - 710*T1^10*T2^9 + 
      1758*T1^11*T2^9 - 541*T1^12*T2^9 + 116*T1^4*T2^10 - 156*T1^5*T2^10 - 
      946*T1^6*T2^10 + 3910*T1^7*T2^10 - 4466*T1^8*T2^10 - 710*T1^9*T2^10 + 
      3146*T1^10*T2^10 - 1740*T1^11*T2^10 + 380*T1^12*T2^10 - 90*T1^5*T2^11 + 
      402*T1^6*T2^11 - 660*T1^7*T2^11 - 162*T1^8*T2^11 + 1758*T1^9*T2^11 - 
      1740*T1^10*T2^11 + 738*T1^11*T2^11 - 138*T1^12*T2^11 + 23*T1^6*T2^12 - 
      138*T1^7*T2^12 + 380*T1^8*T2^12 - 541*T1^9*T2^12 + 380*T1^10*T2^12 - 
      138*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 279] -> 
  {(3 - 12*T + 20*T^2 - 21*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-105 + 417*T1 - 691*T1^2 + 725*T1^3 - 691*T1^4 + 417*T1^5 - 105*T1^6 + 
     417*T2 - 1346*T1*T2 + 1518*T1^2*T2 - 854*T1^3*T2 + 622*T1^4*T2 + 
     366*T1^5*T2 - 806*T1^6*T2 + 309*T1^7*T2 - 691*T2^2 + 1518*T1*T2^2 - 
     4*T1^2*T2^2 - 2038*T1^3*T2^2 + 1878*T1^4*T2^2 - 3118*T1^5*T2^2 + 
     2036*T1^6*T2^2 + 78*T1^7*T2^2 - 331*T1^8*T2^2 + 725*T2^3 - 854*T1*T2^3 - 
     2038*T1^2*T2^3 + 3567*T1^3*T2^3 - 1550*T1^4*T2^3 + 2242*T1^5*T2^3 + 
     423*T1^6*T2^3 - 2218*T1^7*T2^3 + 694*T1^8*T2^3 + 158*T1^9*T2^3 - 
     691*T2^4 + 622*T1*T2^4 + 1878*T1^2*T2^4 - 1550*T1^3*T2^4 - 
     1860*T1^4*T2^4 + 784*T1^5*T2^4 - 2316*T1^6*T2^4 + 1978*T1^7*T2^4 + 
     630*T1^8*T2^4 - 746*T1^9*T2^4 + 29*T1^10*T2^4 + 417*T2^5 + 366*T1*T2^5 - 
     3118*T1^2*T2^5 + 2242*T1^3*T2^5 + 784*T1^4*T2^5 + 1676*T1^5*T2^5 - 
     1444*T1^6*T2^5 + 1024*T1^7*T2^5 - 2078*T1^8*T2^5 + 662*T1^9*T2^5 + 
     366*T1^10*T2^5 - 123*T1^11*T2^5 - 105*T2^6 - 806*T1*T2^6 + 
     2036*T1^2*T2^6 + 423*T1^3*T2^6 - 2316*T1^4*T2^6 - 1444*T1^5*T2^6 + 
     1308*T1^6*T2^6 + 500*T1^7*T2^6 + 268*T1^8*T2^6 + 1209*T1^9*T2^6 - 
     1396*T1^10*T2^6 + 274*T1^11*T2^6 + 57*T1^12*T2^6 + 309*T1*T2^7 + 
     78*T1^2*T2^7 - 2218*T1^3*T2^7 + 1978*T1^4*T2^7 + 1024*T1^5*T2^7 + 
     500*T1^6*T2^7 - 2620*T1^7*T2^7 + 1264*T1^8*T2^7 - 2342*T1^9*T2^7 + 
     1562*T1^10*T2^7 + 78*T1^11*T2^7 - 231*T1^12*T2^7 - 331*T1^2*T2^8 + 
     694*T1^3*T2^8 + 630*T1^4*T2^8 - 2078*T1^5*T2^8 + 268*T1^6*T2^8 + 
     1264*T1^7*T2^8 - 188*T1^8*T2^8 + 1450*T1^9*T2^8 - 618*T1^10*T2^8 - 
     674*T1^11*T2^8 + 389*T1^12*T2^8 + 158*T1^3*T2^9 - 746*T1^4*T2^9 + 
     662*T1^5*T2^9 + 1209*T1^6*T2^9 - 2342*T1^7*T2^9 + 1450*T1^8*T2^9 - 
     1935*T1^9*T2^9 + 482*T1^10*T2^9 + 802*T1^11*T2^9 - 409*T1^12*T2^9 + 
     29*T1^4*T2^10 + 366*T1^5*T2^10 - 1396*T1^6*T2^10 + 1562*T1^7*T2^10 - 
     618*T1^8*T2^10 + 482*T1^9*T2^10 + 644*T1^10*T2^10 - 1074*T1^11*T2^10 + 
     389*T1^12*T2^10 - 123*T1^5*T2^11 + 274*T1^6*T2^11 + 78*T1^7*T2^11 - 
     674*T1^8*T2^11 + 802*T1^9*T2^11 - 1074*T1^10*T2^11 + 814*T1^11*T2^11 - 
     231*T1^12*T2^11 + 57*T1^6*T2^12 - 231*T1^7*T2^12 + 389*T1^8*T2^12 - 
     409*T1^9*T2^12 + 389*T1^10*T2^12 - 231*T1^11*T2^12 + 57*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 280] -> 
  {(6 - 26*T + 41*T^2 - 26*T^3 + 6*T^4)/T^2, 
   (-435 + 1856*T1 - 2911*T1^2 + 1856*T1^3 - 435*T1^4 + 1856*T2 - 
     6996*T1*T2 + 8554*T1^2*T2 - 1898*T1^3*T2 - 2004*T1^4*T2 + 920*T1^5*T2 - 
     2911*T2^2 + 8554*T1*T2^2 - 3275*T1^2*T2^2 - 13103*T1^3*T2^2 + 
     13945*T1^4*T2^2 - 4238*T1^5*T2^2 + 41*T1^6*T2^2 + 1856*T2^3 - 
     1898*T1*T2^3 - 13103*T1^2*T2^3 + 32808*T1^3*T2^3 - 23638*T1^4*T2^3 + 
     1821*T1^5*T2^3 + 3874*T1^6*T2^3 - 952*T1^7*T2^3 - 435*T2^4 - 
     2004*T1*T2^4 + 13945*T1^2*T2^4 - 23638*T1^3*T2^4 + 5316*T1^4*T2^4 + 
     19938*T1^5*T2^4 - 15303*T1^6*T2^4 + 2364*T1^7*T2^4 + 429*T1^8*T2^4 + 
     920*T1*T2^5 - 4238*T1^2*T2^5 + 1821*T1^3*T2^5 + 19938*T1^4*T2^5 - 
     36508*T1^5*T2^5 + 16745*T1^6*T2^5 + 1534*T1^7*T2^5 - 1888*T1^8*T2^5 + 
     41*T1^2*T2^6 + 3874*T1^3*T2^6 - 15303*T1^4*T2^6 + 16745*T1^5*T2^6 + 
     1917*T1^6*T2^6 - 8918*T1^7*T2^6 + 2993*T1^8*T2^6 - 952*T1^3*T2^7 + 
     2364*T1^4*T2^7 + 1534*T1^5*T2^7 - 8918*T1^6*T2^7 + 7356*T1^7*T2^7 - 
     1888*T1^8*T2^7 + 429*T1^4*T2^8 - 1888*T1^5*T2^8 + 2993*T1^6*T2^8 - 
     1888*T1^7*T2^8 + 429*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 281] -> 
  {-((1 - 6*T + 18*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 90*T1^2 + 165*T1^3 - 195*T1^4 + 165*T1^5 - 
      90*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 396*T1^2*T2 - 
      558*T1^3*T2 + 378*T1^4*T2 - 54*T1^5*T2 - 252*T1^6*T2 + 252*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 90*T2^2 + 396*T1*T2^2 - 807*T1^2*T2^2 + 
      689*T1^3*T2^2 + 297*T1^4*T2^2 - 903*T1^5*T2^2 + 1053*T1^6*T2^2 - 
      283*T1^7*T2^2 - 195*T1^8*T2^2 + 180*T1^9*T2^2 - 54*T1^10*T2^2 + 
      165*T2^3 - 558*T1*T2^3 + 689*T1^2*T2^3 + 495*T1^3*T2^3 - 
      2441*T1^4*T2^3 + 1950*T1^5*T2^3 - 777*T1^6*T2^3 - 1388*T1^7*T2^3 + 
      1269*T1^8*T2^3 - 337*T1^9*T2^3 - 72*T1^10*T2^3 + 66*T1^11*T2^3 - 
      195*T2^4 + 378*T1*T2^4 + 297*T1^2*T2^4 - 2441*T1^3*T2^4 + 
      3386*T1^4*T2^4 + 753*T1^5*T2^4 - 3160*T1^6*T2^4 + 4857*T1^7*T2^4 - 
      1378*T1^8*T2^4 - 857*T1^9*T2^4 + 729*T1^10*T2^4 - 162*T1^11*T2^4 - 
      39*T1^12*T2^4 + 165*T2^5 - 54*T1*T2^5 - 903*T1^2*T2^5 + 
      1950*T1^3*T2^5 + 753*T1^4*T2^5 - 7773*T1^5*T2^5 + 6896*T1^6*T2^5 - 
      4030*T1^7*T2^5 - 3459*T1^8*T2^5 + 3930*T1^9*T2^5 - 1083*T1^10*T2^5 - 
      255*T1^11*T2^5 + 234*T1^12*T2^5 - 90*T2^6 - 252*T1*T2^6 + 
      1053*T1^2*T2^6 - 777*T1^3*T2^6 - 3160*T1^4*T2^6 + 6896*T1^5*T2^6 + 
      938*T1^6*T2^6 - 6404*T1^7*T2^6 + 10874*T1^8*T2^6 - 4480*T1^9*T2^6 - 
      1216*T1^10*T2^6 + 1491*T1^11*T2^6 - 351*T1^12*T2^6 - 108*T1^13*T2^6 + 
      18*T1^14*T2^6 + 30*T2^7 + 252*T1*T2^7 - 283*T1^2*T2^7 - 
      1388*T1^3*T2^7 + 4857*T1^4*T2^7 - 4030*T1^5*T2^7 - 6404*T1^6*T2^7 + 
      8471*T1^7*T2^7 - 5977*T1^8*T2^7 - 3353*T1^9*T2^7 + 5996*T1^10*T2^7 - 
      2028*T1^11*T2^7 - 317*T1^12*T2^7 + 419*T1^13*T2^7 - 36*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 195*T1^2*T2^8 + 1269*T1^3*T2^8 - 
      1378*T1^4*T2^8 - 3459*T1^5*T2^8 + 10874*T1^6*T2^8 - 5977*T1^7*T2^8 - 
      2160*T1^8*T2^8 + 8393*T1^9*T2^8 - 5668*T1^10*T2^8 - 1041*T1^11*T2^8 + 
      2066*T1^12*T2^8 - 705*T1^13*T2^8 - 51*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 180*T1^2*T2^9 - 337*T1^3*T2^9 - 
      857*T1^4*T2^9 + 3930*T1^5*T2^9 - 4480*T1^6*T2^9 - 3353*T1^7*T2^9 + 
      8393*T1^8*T2^9 - 6055*T1^9*T2^9 - 302*T1^10*T2^9 + 5546*T1^11*T2^9 - 
      2955*T1^12*T2^9 + 214*T1^13*T2^9 + 365*T1^14*T2^9 - 108*T1^15*T2^9 - 
      18*T1^16*T2^9 - 54*T1^2*T2^10 - 72*T1^3*T2^10 + 729*T1^4*T2^10 - 
      1083*T1^5*T2^10 - 1216*T1^6*T2^10 + 5996*T1^7*T2^10 - 5668*T1^8*T2^10 - 
      302*T1^9*T2^10 + 4268*T1^10*T2^10 - 5380*T1^11*T2^10 + 
      728*T1^12*T2^10 + 1185*T1^13*T2^10 - 675*T1^14*T2^10 + 72*T1^15*T2^10 + 
      54*T1^16*T2^10 + 66*T1^3*T2^11 - 162*T1^4*T2^11 - 255*T1^5*T2^11 + 
      1491*T1^6*T2^11 - 2028*T1^7*T2^11 - 1041*T1^8*T2^11 + 5546*T1^9*T2^11 - 
      5380*T1^10*T2^11 + 3273*T1^11*T2^11 + 1149*T1^12*T2^11 - 
      1542*T1^13*T2^11 + 393*T1^14*T2^11 + 126*T1^15*T2^11 - 99*T1^16*T2^11 - 
      39*T1^4*T2^12 + 234*T1^5*T2^12 - 351*T1^6*T2^12 - 317*T1^7*T2^12 + 
      2066*T1^8*T2^12 - 2955*T1^9*T2^12 + 728*T1^10*T2^12 + 
      1149*T1^11*T2^12 - 2698*T1^12*T2^12 + 1267*T1^13*T2^12 + 
      81*T1^14*T2^12 - 306*T1^15*T2^12 + 117*T1^16*T2^12 - 108*T1^6*T2^13 + 
      419*T1^7*T2^13 - 705*T1^8*T2^13 + 214*T1^9*T2^13 + 1185*T1^10*T2^13 - 
      1542*T1^11*T2^13 + 1267*T1^12*T2^13 + 69*T1^13*T2^13 - 
      607*T1^14*T2^13 + 378*T1^15*T2^13 - 99*T1^16*T2^13 + 18*T1^6*T2^14 - 
      36*T1^7*T2^14 - 51*T1^8*T2^14 + 365*T1^9*T2^14 - 675*T1^10*T2^14 + 
      393*T1^11*T2^14 + 81*T1^12*T2^14 - 607*T1^13*T2^14 + 561*T1^14*T2^14 - 
      252*T1^15*T2^14 + 54*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      108*T1^9*T2^15 + 72*T1^10*T2^15 + 126*T1^11*T2^15 - 306*T1^12*T2^15 + 
      378*T1^13*T2^15 - 252*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 54*T1^10*T2^16 - 99*T1^11*T2^16 + 
      117*T1^12*T2^16 - 99*T1^13*T2^16 + 54*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 282] -> 
  {-((1 - 6*T + 16*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 48*T1^2 + 78*T1^3 - 87*T1^4 + 78*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 276*T1^3*T2 + 
      210*T1^4*T2 - 120*T1^5*T2 - 24*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 197*T1^3*T2^2 + 
      211*T1^4*T2^2 - 403*T1^5*T2^2 + 627*T1^6*T2^2 - 443*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 78*T2^3 - 276*T1*T2^3 + 
      197*T1^2*T2^3 + 446*T1^3*T2^3 - 1148*T1^4*T2^3 + 1000*T1^5*T2^3 - 
      1004*T1^6*T2^3 + 154*T1^7*T2^3 + 440*T1^8*T2^3 - 379*T1^9*T2^3 + 
      96*T1^10*T2^3 - 87*T2^4 + 210*T1*T2^4 + 211*T1^2*T2^4 - 
      1148*T1^3*T2^4 + 1467*T1^4*T2^4 - 349*T1^5*T2^4 + 39*T1^6*T2^4 + 
      1387*T1^7*T2^4 - 1525*T1^8*T2^4 + 516*T1^9*T2^4 + 195*T1^10*T2^4 - 
      174*T1^11*T2^4 + 29*T1^12*T2^4 + 78*T2^5 - 120*T1*T2^5 - 
      403*T1^2*T2^5 + 1000*T1^3*T2^5 - 349*T1^4*T2^5 - 1472*T1^5*T2^5 + 
      1348*T1^6*T2^5 - 2468*T1^7*T2^5 + 1240*T1^8*T2^5 + 823*T1^9*T2^5 - 
      1060*T1^10*T2^5 + 233*T1^11*T2^5 + 138*T1^12*T2^5 - 52*T1^13*T2^5 - 
      48*T2^6 - 24*T1*T2^6 + 627*T1^2*T2^6 - 1004*T1^3*T2^6 + 39*T1^4*T2^6 + 
      1348*T1^5*T2^6 - 495*T1^6*T2^6 + 1379*T1^7*T2^6 + 529*T1^8*T2^6 - 
      2236*T1^9*T2^6 + 519*T1^10*T2^6 + 916*T1^11*T2^6 - 653*T1^12*T2^6 + 
      24*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 443*T1^2*T2^7 + 
      154*T1^3*T2^7 + 1387*T1^4*T2^7 - 2468*T1^5*T2^7 + 1379*T1^6*T2^7 - 
      1558*T1^7*T2^7 - 878*T1^8*T2^7 + 1655*T1^9*T2^7 + 1812*T1^10*T2^7 - 
      2041*T1^11*T2^7 + 300*T1^12*T2^7 + 517*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 440*T1^3*T2^8 - 
      1525*T1^4*T2^8 + 1240*T1^5*T2^8 + 529*T1^6*T2^8 - 878*T1^7*T2^8 + 
      1716*T1^8*T2^8 - 590*T1^9*T2^8 - 3327*T1^10*T2^8 + 952*T1^11*T2^8 + 
      1363*T1^12*T2^8 - 1104*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 379*T1^3*T2^9 + 
      516*T1^4*T2^9 + 823*T1^5*T2^9 - 2236*T1^6*T2^9 + 1655*T1^7*T2^9 - 
      590*T1^8*T2^9 + 90*T1^9*T2^9 + 1931*T1^10*T2^9 + 2044*T1^11*T2^9 - 
      2605*T1^12*T2^9 + 662*T1^13*T2^9 + 581*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 195*T1^4*T2^10 - 
      1060*T1^5*T2^10 + 519*T1^6*T2^10 + 1812*T1^7*T2^10 - 3327*T1^8*T2^10 + 
      1931*T1^9*T2^10 - 2303*T1^10*T2^10 - 1772*T1^11*T2^10 + 
      999*T1^12*T2^10 + 860*T1^13*T2^10 - 1085*T1^14*T2^10 + 
      144*T1^15*T2^10 + 80*T1^16*T2^10 - 174*T1^4*T2^11 + 233*T1^5*T2^11 + 
      916*T1^6*T2^11 - 2041*T1^7*T2^11 + 952*T1^8*T2^11 + 2044*T1^9*T2^11 - 
      1772*T1^10*T2^11 + 3664*T1^11*T2^11 - 869*T1^12*T2^11 - 
      1144*T1^13*T2^11 + 869*T1^14*T2^11 + 84*T1^15*T2^11 - 130*T1^16*T2^11 + 
      29*T1^4*T2^12 + 138*T1^5*T2^12 - 653*T1^6*T2^12 + 300*T1^7*T2^12 + 
      1363*T1^8*T2^12 - 2605*T1^9*T2^12 + 999*T1^10*T2^12 - 869*T1^11*T2^12 - 
      1629*T1^12*T2^12 + 1964*T1^13*T2^12 - 669*T1^14*T2^12 - 
      246*T1^15*T2^12 + 145*T1^16*T2^12 - 52*T1^5*T2^13 + 24*T1^6*T2^13 + 
      517*T1^7*T2^13 - 1104*T1^8*T2^13 + 662*T1^9*T2^13 + 860*T1^10*T2^13 - 
      1144*T1^11*T2^13 + 1964*T1^12*T2^13 - 1110*T1^13*T2^13 - 
      59*T1^14*T2^13 + 396*T1^15*T2^13 - 130*T1^16*T2^13 + 48*T1^6*T2^14 - 
      144*T1^7*T2^14 - 17*T1^8*T2^14 + 581*T1^9*T2^14 - 1085*T1^10*T2^14 + 
      869*T1^11*T2^14 - 669*T1^12*T2^14 - 59*T1^13*T2^14 + 463*T1^14*T2^14 - 
      336*T1^15*T2^14 + 80*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 
      204*T1^9*T2^15 + 144*T1^10*T2^15 + 84*T1^11*T2^15 - 246*T1^12*T2^15 + 
      396*T1^13*T2^15 - 336*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 
      5*T1^8*T2^16 - 30*T1^9*T2^16 + 80*T1^10*T2^16 - 130*T1^11*T2^16 + 
      145*T1^12*T2^16 - 130*T1^13*T2^16 + 80*T1^14*T2^16 - 30*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 283] -> 
  {((3 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2))/T^3, 
   (-51 + 255*T1 - 581*T1^2 + 739*T1^3 - 581*T1^4 + 255*T1^5 - 51*T1^6 + 
     255*T2 - 1153*T1*T2 + 2299*T1^2*T2 - 2315*T1^3*T2 + 1150*T1^4*T2 + 
     94*T1^5*T2 - 343*T1^6*T2 + 120*T1^7*T2 - 581*T2^2 + 2299*T1*T2^2 - 
     3600*T1^2*T2^2 + 1510*T1^3*T2^2 + 2274*T1^4*T2^2 - 4202*T1^5*T2^2 + 
     2724*T1^6*T2^2 - 761*T1^7*T2^2 + 31*T1^8*T2^2 + 739*T2^3 - 
     2315*T1*T2^3 + 1510*T1^2*T2^3 + 4975*T1^3*T2^3 - 10870*T1^4*T2^3 + 
     9437*T1^5*T2^3 - 2213*T1^6*T2^3 - 2468*T1^7*T2^3 + 1960*T1^8*T2^3 - 
     422*T1^9*T2^3 - 581*T2^4 + 1150*T1*T2^4 + 2274*T1^2*T2^4 - 
     10870*T1^3*T2^4 + 13042*T1^4*T2^4 - 2022*T1^5*T2^4 - 10430*T1^6*T2^4 + 
     11576*T1^7*T2^4 - 3204*T1^8*T2^4 - 1100*T1^9*T2^4 + 643*T1^10*T2^4 + 
     255*T2^5 + 94*T1*T2^5 - 4202*T1^2*T2^5 + 9437*T1^3*T2^5 - 
     2022*T1^4*T2^5 - 17709*T1^5*T2^5 + 23945*T1^6*T2^5 - 10930*T1^7*T2^5 - 
     6592*T1^8*T2^5 + 6712*T1^9*T2^5 - 1121*T1^10*T2^5 - 420*T1^11*T2^5 - 
     51*T2^6 - 343*T1*T2^6 + 2724*T1^2*T2^6 - 2213*T1^3*T2^6 - 
     10430*T1^4*T2^6 + 23945*T1^5*T2^6 - 10188*T1^6*T2^6 - 13701*T1^7*T2^6 + 
     24378*T1^8*T2^6 - 8615*T1^9*T2^6 - 2004*T1^10*T2^6 + 1547*T1^11*T2^6 + 
     111*T1^12*T2^6 + 120*T1*T2^7 - 761*T1^2*T2^7 - 2468*T1^3*T2^7 + 
     11576*T1^4*T2^7 - 10930*T1^5*T2^7 - 13701*T1^6*T2^7 + 27953*T1^7*T2^7 - 
     19838*T1^8*T2^7 - 4453*T1^9*T2^7 + 8446*T1^10*T2^7 - 1976*T1^11*T2^7 - 
     555*T1^12*T2^7 + 31*T1^2*T2^8 + 1960*T1^3*T2^8 - 3204*T1^4*T2^8 - 
     6592*T1^5*T2^8 + 24378*T1^6*T2^8 - 19838*T1^7*T2^8 + 906*T1^8*T2^8 + 
     15854*T1^9*T2^8 - 8682*T1^10*T2^8 - 290*T1^11*T2^8 + 1255*T1^12*T2^8 - 
     422*T1^3*T2^9 - 1100*T1^4*T2^9 + 6712*T1^5*T2^9 - 8615*T1^6*T2^9 - 
     4453*T1^7*T2^9 + 15854*T1^8*T2^9 - 15803*T1^9*T2^9 + 2734*T1^10*T2^9 + 
     3175*T1^11*T2^9 - 1583*T1^12*T2^9 + 643*T1^4*T2^10 - 1121*T1^5*T2^10 - 
     2004*T1^6*T2^10 + 8446*T1^7*T2^10 - 8682*T1^8*T2^10 + 2734*T1^9*T2^10 + 
     4320*T1^10*T2^10 - 4181*T1^11*T2^10 + 1255*T1^12*T2^10 - 
     420*T1^5*T2^11 + 1547*T1^6*T2^11 - 1976*T1^7*T2^11 - 290*T1^8*T2^11 + 
     3175*T1^9*T2^11 - 4181*T1^10*T2^11 + 2357*T1^11*T2^11 - 
     555*T1^12*T2^11 + 111*T1^6*T2^12 - 555*T1^7*T2^12 + 1255*T1^8*T2^12 - 
     1583*T1^9*T2^12 + 1255*T1^10*T2^12 - 555*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 284] -> 
  {-((1 - 7*T + 21*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 105*T1^2 + 190*T1^3 - 225*T1^4 + 190*T1^5 - 
      105*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 
      742*T1^3*T2 + 511*T1^4*T2 - 70*T1^5*T2 - 329*T1^6*T2 + 343*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 898*T1^2*T2^2 + 
      321*T1^3*T2^2 + 1390*T1^4*T2^2 - 2426*T1^5*T2^2 + 2398*T1^6*T2^2 - 
      981*T1^7*T2^2 - 58*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 
      190*T2^3 - 742*T1*T2^3 + 321*T1^2*T2^3 + 2113*T1^3*T2^3 - 
      5073*T1^4*T2^3 + 4094*T1^5*T2^3 - 1381*T1^6*T2^3 - 2328*T1^7*T2^3 + 
      2443*T1^8*T2^3 - 897*T1^9*T2^3 - 91*T1^10*T2^3 + 76*T1^11*T2^3 - 
      225*T2^4 + 511*T1*T2^4 + 1390*T1^2*T2^4 - 5073*T1^3*T2^4 + 
      6196*T1^4*T2^4 + 183*T1^5*T2^4 - 4802*T1^6*T2^4 + 7371*T1^7*T2^4 - 
      2376*T1^8*T2^4 - 1273*T1^9*T2^4 + 1446*T1^10*T2^4 - 217*T1^11*T2^4 - 
      45*T1^12*T2^4 + 190*T2^5 - 70*T1*T2^5 - 2426*T1^2*T2^5 + 
      4094*T1^3*T2^5 + 183*T1^4*T2^5 - 10443*T1^5*T2^5 + 10116*T1^6*T2^5 - 
      5683*T1^7*T2^5 - 5091*T1^8*T2^5 + 6144*T1^9*T2^5 - 2147*T1^10*T2^5 - 
      599*T1^11*T2^5 + 315*T1^12*T2^5 - 105*T2^6 - 329*T1*T2^6 + 
      2398*T1^2*T2^6 - 1381*T1^3*T2^6 - 4802*T1^4*T2^6 + 10116*T1^5*T2^6 + 
      567*T1^6*T2^6 - 8963*T1^7*T2^6 + 15463*T1^8*T2^6 - 6446*T1^9*T2^6 - 
      1764*T1^10*T2^6 + 2945*T1^11*T2^6 - 514*T1^12*T2^6 - 147*T1^13*T2^6 + 
      21*T1^14*T2^6 + 35*T2^7 + 343*T1*T2^7 - 981*T1^2*T2^7 - 
      2328*T1^3*T2^7 + 7371*T1^4*T2^7 - 5683*T1^5*T2^7 - 8963*T1^6*T2^7 + 
      12154*T1^7*T2^7 - 8718*T1^8*T2^7 - 4925*T1^9*T2^7 + 8590*T1^10*T2^7 - 
      3498*T1^11*T2^7 - 853*T1^12*T2^7 + 741*T1^13*T2^7 - 49*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 58*T1^2*T2^8 + 2443*T1^3*T2^8 - 
      2376*T1^4*T2^8 - 5091*T1^5*T2^8 + 15463*T1^6*T2^8 - 8718*T1^7*T2^8 - 
      2244*T1^8*T2^8 + 11734*T1^9*T2^8 - 7453*T1^10*T2^8 - 1437*T1^11*T2^8 + 
      3640*T1^12*T2^8 - 1147*T1^13*T2^8 - 184*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 245*T1^2*T2^9 - 897*T1^3*T2^9 - 
      1273*T1^4*T2^9 + 6144*T1^5*T2^9 - 6446*T1^6*T2^9 - 4925*T1^7*T2^9 + 
      11734*T1^8*T2^9 - 9138*T1^9*T2^9 - 887*T1^10*T2^9 + 7827*T1^11*T2^9 - 
      4725*T1^12*T2^9 + 202*T1^13*T2^9 + 825*T1^14*T2^9 - 147*T1^15*T2^9 - 
      21*T1^16*T2^9 - 63*T1^2*T2^10 - 91*T1^3*T2^10 + 1446*T1^4*T2^10 - 
      2147*T1^5*T2^10 - 1764*T1^6*T2^10 + 8590*T1^7*T2^10 - 7453*T1^8*T2^10 - 
      887*T1^9*T2^10 + 7443*T1^10*T2^10 - 7972*T1^11*T2^10 + 
      1274*T1^12*T2^10 + 2179*T1^13*T2^10 - 1466*T1^14*T2^10 + 
      91*T1^15*T2^10 + 63*T1^16*T2^10 + 76*T1^3*T2^11 - 217*T1^4*T2^11 - 
      599*T1^5*T2^11 + 2945*T1^6*T2^11 - 3498*T1^7*T2^11 - 1437*T1^8*T2^11 + 
      7827*T1^9*T2^11 - 7972*T1^10*T2^11 + 3915*T1^11*T2^11 + 
      2463*T1^12*T2^11 - 3296*T1^13*T2^11 + 1228*T1^14*T2^11 + 
      168*T1^15*T2^11 - 114*T1^16*T2^11 - 45*T1^4*T2^12 + 315*T1^5*T2^12 - 
      514*T1^6*T2^12 - 853*T1^7*T2^12 + 3640*T1^8*T2^12 - 4725*T1^9*T2^12 + 
      1274*T1^10*T2^12 + 2463*T1^11*T2^12 - 4932*T1^12*T2^12 + 
      2947*T1^13*T2^12 - 458*T1^14*T2^12 - 413*T1^15*T2^12 + 
      135*T1^16*T2^12 - 147*T1^6*T2^13 + 741*T1^7*T2^13 - 1147*T1^8*T2^13 + 
      202*T1^9*T2^13 + 2179*T1^10*T2^13 - 3296*T1^11*T2^13 + 
      2947*T1^12*T2^13 - 817*T1^13*T2^13 - 477*T1^14*T2^13 + 
      504*T1^15*T2^13 - 114*T1^16*T2^13 + 21*T1^6*T2^14 - 49*T1^7*T2^14 - 
      184*T1^8*T2^14 + 825*T1^9*T2^14 - 1466*T1^10*T2^14 + 1228*T1^11*T2^14 - 
      458*T1^12*T2^14 - 477*T1^13*T2^14 + 656*T1^14*T2^14 - 343*T1^15*T2^14 + 
      63*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 147*T1^9*T2^15 + 
      91*T1^10*T2^15 + 168*T1^11*T2^15 - 413*T1^12*T2^15 + 504*T1^13*T2^15 - 
      343*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 63*T1^10*T2^16 - 114*T1^11*T2^16 + 135*T1^12*T2^16 - 
      114*T1^13*T2^16 + 63*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 285] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 162*T1 - 440*T1^2 + 613*T1^3 - 440*T1^4 + 162*T1^5 - 23*T1^6 + 
      162*T2 - 1036*T1*T2 + 2354*T1^2*T2 - 2286*T1^3*T2 + 262*T1^4*T2 + 
      898*T1^5*T2 - 588*T1^6*T2 + 106*T1^7*T2 - 440*T2^2 + 2354*T1*T2^2 - 
      3271*T1^2*T2^2 - 1698*T1^3*T2^2 + 9019*T1^4*T2^2 - 7626*T1^5*T2^2 + 
      2201*T1^6*T2^2 + 226*T1^7*T2^2 - 136*T1^8*T2^2 + 613*T2^3 - 
      2286*T1*T2^3 - 1698*T1^2*T2^3 + 15906*T1^3*T2^3 - 23814*T1^4*T2^3 + 
      8062*T1^5*T2^3 + 5732*T1^6*T2^3 - 5270*T1^7*T2^3 + 1102*T1^8*T2^3 - 
      23*T1^9*T2^3 - 440*T2^4 + 262*T1*T2^4 + 9019*T1^2*T2^4 - 
      23814*T1^3*T2^4 + 15207*T1^4*T2^4 + 21543*T1^5*T2^4 - 31725*T1^6*T2^4 + 
      13498*T1^7*T2^4 - 205*T1^8*T2^4 - 1026*T1^9*T2^4 + 168*T1^10*T2^4 + 
      162*T2^5 + 898*T1*T2^5 - 7626*T1^2*T2^5 + 8062*T1^3*T2^5 + 
      21543*T1^4*T2^5 - 59174*T1^5*T2^5 + 43348*T1^6*T2^5 - 725*T1^7*T2^5 - 
      12942*T1^8*T2^5 + 5370*T1^9*T2^5 - 334*T1^10*T2^5 - 118*T1^11*T2^5 - 
      23*T2^6 - 588*T1*T2^6 + 2201*T1^2*T2^6 + 5732*T1^3*T2^6 - 
      31725*T1^4*T2^6 + 43348*T1^5*T2^6 - 2808*T1^6*T2^6 - 41396*T1^7*T2^6 + 
      31603*T1^8*T2^6 - 6180*T1^9*T2^6 - 2087*T1^10*T2^6 + 644*T1^11*T2^6 + 
      25*T1^12*T2^6 + 106*T1*T2^7 + 226*T1^2*T2^7 - 5270*T1^3*T2^7 + 
      13498*T1^4*T2^7 - 725*T1^5*T2^7 - 41396*T1^6*T2^7 + 61126*T1^7*T2^7 - 
      22993*T1^8*T2^7 - 7506*T1^9*T2^7 + 7726*T1^10*T2^7 - 1006*T1^11*T2^7 - 
      174*T1^12*T2^7 - 136*T1^2*T2^8 + 1102*T1^3*T2^8 - 205*T1^4*T2^8 - 
      12942*T1^5*T2^8 + 31603*T1^6*T2^8 - 22993*T1^7*T2^8 - 15329*T1^8*T2^8 + 
      24370*T1^9*T2^8 - 9429*T1^10*T2^8 - 186*T1^11*T2^8 + 472*T1^12*T2^8 - 
      23*T1^3*T2^9 - 1026*T1^4*T2^9 + 5370*T1^5*T2^9 - 6180*T1^6*T2^9 - 
      7506*T1^7*T2^9 + 24370*T1^8*T2^9 - 16354*T1^9*T2^9 + 1798*T1^10*T2^9 + 
      2362*T1^11*T2^9 - 659*T1^12*T2^9 + 168*T1^4*T2^10 - 334*T1^5*T2^10 - 
      2087*T1^6*T2^10 + 7726*T1^7*T2^10 - 9429*T1^8*T2^10 + 1798*T1^9*T2^10 + 
      3385*T1^10*T2^10 - 2462*T1^11*T2^10 + 472*T1^12*T2^10 - 
      118*T1^5*T2^11 + 644*T1^6*T2^11 - 1006*T1^7*T2^11 - 186*T1^8*T2^11 + 
      2362*T1^9*T2^11 - 2462*T1^10*T2^11 + 1092*T1^11*T2^11 - 
      174*T1^12*T2^11 + 25*T1^6*T2^12 - 174*T1^7*T2^12 + 472*T1^8*T2^12 - 
      659*T1^9*T2^12 + 472*T1^10*T2^12 - 174*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 286] -> 
  {-(((1 - T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4), 
   -((-5 + 30*T1 - 85*T1^2 + 155*T1^3 - 185*T1^4 + 155*T1^5 - 85*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 522*T1^3*T2 + 
      366*T1^4*T2 - 42*T1^5*T2 - 234*T1^6*T2 + 228*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 630*T1^2*T2^2 + 482*T1^3*T2^2 + 
      474*T1^4*T2^2 - 1142*T1^5*T2^2 + 1154*T1^6*T2^2 - 368*T1^7*T2^2 - 
      86*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 155*T2^3 - 522*T1*T2^3 + 
      482*T1^2*T2^3 + 407*T1^3*T2^3 - 2146*T1^4*T2^3 + 1904*T1^5*T2^3 - 
      568*T1^6*T2^3 - 1249*T1^7*T2^3 + 1037*T1^8*T2^3 - 385*T1^9*T2^3 - 
      66*T1^10*T2^3 + 62*T1^11*T2^3 - 185*T2^4 + 366*T1*T2^4 + 
      474*T1^2*T2^4 - 2146*T1^3*T2^4 + 3610*T1^4*T2^4 - 799*T1^5*T2^4 - 
      1688*T1^6*T2^4 + 2941*T1^7*T2^4 - 362*T1^8*T2^4 - 782*T1^9*T2^4 + 
      758*T1^10*T2^4 - 150*T1^11*T2^4 - 37*T1^12*T2^4 + 155*T2^5 - 
      42*T1*T2^5 - 1142*T1^2*T2^5 + 1904*T1^3*T2^5 - 799*T1^4*T2^5 - 
      4622*T1^5*T2^5 + 5028*T1^6*T2^5 - 2405*T1^7*T2^5 - 3004*T1^8*T2^5 + 
      2657*T1^9*T2^5 - 924*T1^10*T2^5 - 308*T1^11*T2^5 + 222*T1^12*T2^5 - 
      85*T2^6 - 234*T1*T2^6 + 1154*T1^2*T2^6 - 568*T1^3*T2^6 - 
      1688*T1^4*T2^6 + 5028*T1^5*T2^6 + 185*T1^6*T2^6 - 5537*T1^7*T2^6 + 
      8377*T1^8*T2^6 - 2800*T1^9*T2^6 - 850*T1^10*T2^6 + 1370*T1^11*T2^6 - 
      318*T1^12*T2^6 - 102*T1^13*T2^6 + 17*T1^14*T2^6 + 30*T2^7 + 
      228*T1*T2^7 - 368*T1^2*T2^7 - 1249*T1^3*T2^7 + 2941*T1^4*T2^7 - 
      2405*T1^5*T2^7 - 5537*T1^6*T2^7 + 8374*T1^7*T2^7 - 5170*T1^8*T2^7 - 
      2858*T1^9*T2^7 + 4238*T1^10*T2^7 - 1651*T1^11*T2^7 - 278*T1^12*T2^7 + 
      397*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 - 
      86*T1^2*T2^8 + 1037*T1^3*T2^8 - 362*T1^4*T2^8 - 3004*T1^5*T2^8 + 
      8377*T1^6*T2^8 - 5170*T1^7*T2^8 - 2616*T1^8*T2^8 + 7778*T1^9*T2^8 - 
      4617*T1^10*T2^8 - 344*T1^11*T2^8 + 1358*T1^12*T2^8 - 553*T1^13*T2^8 - 
      90*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 24*T1*T2^9 + 
      162*T1^2*T2^9 - 385*T1^3*T2^9 - 782*T1^4*T2^9 + 2657*T1^5*T2^9 - 
      2800*T1^6*T2^9 - 2858*T1^7*T2^9 + 7778*T1^8*T2^9 - 5766*T1^9*T2^9 - 
      179*T1^10*T2^9 + 3843*T1^11*T2^9 - 1935*T1^12*T2^9 + 189*T1^13*T2^9 + 
      380*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 51*T1^2*T2^10 - 
      66*T1^3*T2^10 + 758*T1^4*T2^10 - 924*T1^5*T2^10 - 850*T1^6*T2^10 + 
      4238*T1^7*T2^10 - 4617*T1^8*T2^10 - 179*T1^9*T2^10 + 3575*T1^10*T2^10 - 
      3590*T1^11*T2^10 - 12*T1^12*T2^10 + 1014*T1^13*T2^10 - 
      714*T1^14*T2^10 + 66*T1^15*T2^10 + 51*T1^16*T2^10 + 62*T1^3*T2^11 - 
      150*T1^4*T2^11 - 308*T1^5*T2^11 + 1370*T1^6*T2^11 - 1651*T1^7*T2^11 - 
      344*T1^8*T2^11 + 3843*T1^9*T2^11 - 3590*T1^10*T2^11 + 
      1274*T1^11*T2^11 + 1805*T1^12*T2^11 - 1458*T1^13*T2^11 + 
      526*T1^14*T2^11 + 114*T1^15*T2^11 - 93*T1^16*T2^11 - 37*T1^4*T2^12 + 
      222*T1^5*T2^12 - 318*T1^6*T2^12 - 278*T1^7*T2^12 + 1358*T1^8*T2^12 - 
      1935*T1^9*T2^12 - 12*T1^10*T2^12 + 1805*T1^11*T2^12 - 
      2614*T1^12*T2^12 + 1086*T1^13*T2^12 - 34*T1^14*T2^12 - 
      294*T1^15*T2^12 + 111*T1^16*T2^12 - 102*T1^6*T2^13 + 397*T1^7*T2^13 - 
      553*T1^8*T2^13 + 189*T1^9*T2^13 + 1014*T1^10*T2^13 - 1458*T1^11*T2^13 + 
      1086*T1^12*T2^13 + 77*T1^13*T2^13 - 470*T1^14*T2^13 + 354*T1^15*T2^13 - 
      93*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 90*T1^8*T2^14 + 
      380*T1^9*T2^14 - 714*T1^10*T2^14 + 526*T1^11*T2^14 - 34*T1^12*T2^14 - 
      470*T1^13*T2^14 + 454*T1^14*T2^14 - 234*T1^15*T2^14 + 51*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 66*T1^10*T2^15 + 
      114*T1^11*T2^15 - 294*T1^12*T2^15 + 354*T1^13*T2^15 - 234*T1^14*T2^15 + 
      96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      51*T1^10*T2^16 - 93*T1^11*T2^16 + 111*T1^12*T2^16 - 93*T1^13*T2^16 + 
      51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 287] -> 
  {(1 - 7*T + 21*T^2 - 38*T^3 + 47*T^4 - 38*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 152*T1^3 - 188*T1^4 + 152*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 623*T1^3*T2 + 
     518*T1^4*T2 - 77*T1^5*T2 - 210*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 777*T1^2*T2^2 + 398*T1^3*T2^2 + 
     759*T1^4*T2^2 - 2123*T1^5*T2^2 + 1851*T1^6*T2^2 - 904*T1^7*T2^2 + 
     63*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 152*T2^3 - 623*T1*T2^3 + 
     398*T1^2*T2^3 + 1473*T1^3*T2^3 - 3719*T1^4*T2^3 + 4573*T1^5*T2^3 - 
     1196*T1^6*T2^3 - 1202*T1^7*T2^3 + 1803*T1^8*T2^3 - 820*T1^9*T2^3 + 
     28*T1^10*T2^3 + 38*T1^11*T2^3 - 188*T2^4 + 518*T1*T2^4 + 759*T1^2*T2^4 - 
     3719*T1^3*T2^4 + 4827*T1^4*T2^4 - 2378*T1^5*T2^4 - 4963*T1^6*T2^4 + 
     5626*T1^7*T2^4 - 3017*T1^8*T2^4 - 223*T1^9*T2^4 + 983*T1^10*T2^4 - 
     266*T1^11*T2^4 + 152*T2^5 - 77*T1*T2^5 - 2123*T1^2*T2^5 + 
     4573*T1^3*T2^5 - 2378*T1^4*T2^5 - 3409*T1^5*T2^5 + 10552*T1^6*T2^5 - 
     4365*T1^7*T2^5 - 2215*T1^8*T2^5 + 4841*T1^9*T2^5 - 2550*T1^10*T2^5 - 
     2*T1^11*T2^5 + 266*T1^12*T2^5 - 38*T1^13*T2^5 - 84*T2^6 - 210*T1*T2^6 + 
     1851*T1^2*T2^6 - 1196*T1^3*T2^6 - 4963*T1^4*T2^6 + 10552*T1^5*T2^6 - 
     10859*T1^6*T2^6 - 3647*T1^7*T2^6 + 10001*T1^8*T2^6 - 6486*T1^9*T2^6 + 
     7*T1^10*T2^6 + 2542*T1^11*T2^6 - 977*T1^12*T2^6 - 28*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 904*T1^2*T2^7 - 1202*T1^3*T2^7 + 
     5626*T1^4*T2^7 - 4365*T1^5*T2^7 - 3647*T1^6*T2^7 + 17200*T1^7*T2^7 - 
     13552*T1^8*T2^7 + 87*T1^9*T2^7 + 6310*T1^10*T2^7 - 4733*T1^11*T2^7 + 
     197*T1^12*T2^7 + 818*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 63*T1^2*T2^8 + 1803*T1^3*T2^8 - 3017*T1^4*T2^8 - 
     2215*T1^5*T2^8 + 10001*T1^6*T2^8 - 13552*T1^7*T2^8 + 1344*T1^8*T2^8 + 
     12676*T1^9*T2^8 - 9387*T1^10*T2^8 + 2027*T1^11*T2^8 + 3015*T1^12*T2^8 - 
     1787*T1^13*T2^8 - 63*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 820*T1^3*T2^9 - 223*T1^4*T2^9 + 
     4841*T1^5*T2^9 - 6486*T1^6*T2^9 + 87*T1^7*T2^9 + 12676*T1^8*T2^9 - 
     18076*T1^9*T2^9 + 3821*T1^10*T2^9 + 4189*T1^11*T2^9 - 5518*T1^12*T2^9 + 
     1176*T1^13*T2^9 + 902*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 28*T1^3*T2^10 + 983*T1^4*T2^10 - 2550*T1^5*T2^10 + 
     7*T1^6*T2^10 + 6310*T1^7*T2^10 - 9387*T1^8*T2^10 + 3821*T1^9*T2^10 + 
     11473*T1^10*T2^10 - 10728*T1^11*T2^10 + 4977*T1^12*T2^10 + 
     1188*T1^13*T2^10 - 1845*T1^14*T2^10 + 210*T1^15*T2^10 + 84*T1^16*T2^10 + 
     38*T1^3*T2^11 - 266*T1^4*T2^11 - 2*T1^5*T2^11 + 2542*T1^6*T2^11 - 
     4733*T1^7*T2^11 + 2027*T1^8*T2^11 + 4189*T1^9*T2^11 - 
     10728*T1^10*T2^11 + 3221*T1^11*T2^11 + 2486*T1^12*T2^11 - 
     4581*T1^13*T2^11 + 2119*T1^14*T2^11 + 77*T1^15*T2^11 - 152*T1^16*T2^11 + 
     266*T1^5*T2^12 - 977*T1^6*T2^12 + 197*T1^7*T2^12 + 3015*T1^8*T2^12 - 
     5518*T1^9*T2^12 + 4977*T1^10*T2^12 + 2486*T1^11*T2^12 - 
     4829*T1^12*T2^12 + 3693*T1^13*T2^12 - 753*T1^14*T2^12 - 
     518*T1^15*T2^12 + 188*T1^16*T2^12 - 38*T1^5*T2^13 - 28*T1^6*T2^13 + 
     818*T1^7*T2^13 - 1787*T1^8*T2^13 + 1176*T1^9*T2^13 + 1188*T1^10*T2^13 - 
     4581*T1^11*T2^13 + 3693*T1^12*T2^13 - 1457*T1^13*T2^13 - 
     400*T1^14*T2^13 + 623*T1^15*T2^13 - 152*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 63*T1^8*T2^14 + 902*T1^9*T2^14 - 1845*T1^10*T2^14 + 
     2119*T1^11*T2^14 - 753*T1^12*T2^14 - 400*T1^13*T2^14 + 777*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 210*T1^10*T2^15 + 77*T1^11*T2^15 - 518*T1^12*T2^15 + 
     623*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 152*T1^11*T2^16 + 
     188*T1^12*T2^16 - 152*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 288] -> 
  {(1 - 7*T + 23*T^2 - 44*T^3 + 55*T^4 - 44*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 92*T1^2 + 176*T1^3 - 220*T1^4 + 176*T1^5 - 92*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 497*T1^2*T2 - 749*T1^3*T2 + 
     616*T1^4*T2 - 77*T1^5*T2 - 280*T1^6*T2 + 287*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 92*T2^2 + 497*T1*T2^2 - 1135*T1^2*T2^2 + 998*T1^3*T2^2 + 
     329*T1^4*T2^2 - 1987*T1^5*T2^2 + 1801*T1^6*T2^2 - 704*T1^7*T2^2 - 
     123*T1^8*T2^2 + 175*T1^9*T2^2 - 46*T1^10*T2^2 + 176*T2^3 - 749*T1*T2^3 + 
     998*T1^2*T2^3 + 1127*T1^3*T2^3 - 4428*T1^4*T2^3 + 5649*T1^5*T2^3 - 
     1446*T1^6*T2^3 - 1825*T1^7*T2^3 + 2237*T1^8*T2^3 - 750*T1^9*T2^3 + 
     14*T1^10*T2^3 + 44*T1^11*T2^3 - 220*T2^4 + 616*T1*T2^4 + 329*T1^2*T2^4 - 
     4428*T1^3*T2^4 + 6302*T1^4*T2^4 - 1643*T1^5*T2^4 - 9112*T1^6*T2^4 + 
     9929*T1^7*T2^4 - 4610*T1^8*T2^4 - 556*T1^9*T2^4 + 1077*T1^10*T2^4 - 
     308*T1^11*T2^4 + 176*T2^5 - 77*T1*T2^5 - 1987*T1^2*T2^5 + 
     5649*T1^3*T2^5 - 1643*T1^4*T2^5 - 9983*T1^5*T2^5 + 20411*T1^6*T2^5 - 
     8992*T1^7*T2^5 - 3889*T1^8*T2^5 + 7872*T1^9*T2^5 - 3140*T1^10*T2^5 + 
     26*T1^11*T2^5 + 308*T1^12*T2^5 - 44*T1^13*T2^5 - 92*T2^6 - 280*T1*T2^6 + 
     1801*T1^2*T2^6 - 1446*T1^3*T2^6 - 9112*T1^4*T2^6 + 20411*T1^5*T2^6 - 
     17960*T1^6*T2^6 - 8906*T1^7*T2^6 + 20452*T1^8*T2^6 - 12743*T1^9*T2^6 - 
     70*T1^10*T2^6 + 3108*T1^11*T2^6 - 1119*T1^12*T2^6 - 14*T1^13*T2^6 + 
     46*T1^14*T2^6 + 28*T2^7 + 287*T1*T2^7 - 704*T1^2*T2^7 - 1825*T1^3*T2^7 + 
     9929*T1^4*T2^7 - 8992*T1^5*T2^7 - 8906*T1^6*T2^7 + 34274*T1^7*T2^7 - 
     25652*T1^8*T2^7 + 100*T1^9*T2^7 + 12909*T1^10*T2^7 - 7814*T1^11*T2^7 + 
     648*T1^12*T2^7 + 768*T1^13*T2^7 - 175*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 123*T1^2*T2^8 + 2237*T1^3*T2^8 - 4610*T1^4*T2^8 - 
     3889*T1^5*T2^8 + 20452*T1^6*T2^8 - 25652*T1^7*T2^8 - 1236*T1^8*T2^8 + 
     26372*T1^9*T2^8 - 21300*T1^10*T2^8 + 4009*T1^11*T2^8 + 4458*T1^12*T2^8 - 
     2293*T1^13*T2^8 + 119*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 175*T1^2*T2^9 - 750*T1^3*T2^9 - 556*T1^4*T2^9 + 
     7872*T1^5*T2^9 - 12743*T1^6*T2^9 + 100*T1^7*T2^9 + 26372*T1^8*T2^9 - 
     33554*T1^9*T2^9 + 9106*T1^10*T2^9 + 9158*T1^11*T2^9 - 9871*T1^12*T2^9 + 
     1917*T1^13*T2^9 + 722*T1^14*T2^9 - 287*T1^15*T2^9 - 28*T1^16*T2^9 - 
     46*T1^2*T2^10 + 14*T1^3*T2^10 + 1077*T1^4*T2^10 - 3140*T1^5*T2^10 - 
     70*T1^6*T2^10 + 12909*T1^7*T2^10 - 21300*T1^8*T2^10 + 9106*T1^9*T2^10 + 
     17112*T1^10*T2^10 - 20245*T1^11*T2^10 + 8972*T1^12*T2^10 + 
     1414*T1^13*T2^10 - 1843*T1^14*T2^10 + 280*T1^15*T2^10 + 92*T1^16*T2^10 + 
     44*T1^3*T2^11 - 308*T1^4*T2^11 + 26*T1^5*T2^11 + 3108*T1^6*T2^11 - 
     7814*T1^7*T2^11 + 4009*T1^8*T2^11 + 9158*T1^9*T2^11 - 
     20245*T1^10*T2^11 + 10103*T1^11*T2^11 + 1701*T1^12*T2^11 - 
     5681*T1^13*T2^11 + 2039*T1^14*T2^11 + 77*T1^15*T2^11 - 176*T1^16*T2^11 + 
     308*T1^5*T2^12 - 1119*T1^6*T2^12 + 648*T1^7*T2^12 + 4458*T1^8*T2^12 - 
     9871*T1^9*T2^12 + 8972*T1^10*T2^12 + 1701*T1^11*T2^12 - 
     6454*T1^12*T2^12 + 4520*T1^13*T2^12 - 371*T1^14*T2^12 - 
     616*T1^15*T2^12 + 220*T1^16*T2^12 - 44*T1^5*T2^13 - 14*T1^6*T2^13 + 
     768*T1^7*T2^13 - 2293*T1^8*T2^13 + 1917*T1^9*T2^13 + 1414*T1^10*T2^13 - 
     5681*T1^11*T2^13 + 4520*T1^12*T2^13 - 1183*T1^13*T2^13 - 
     980*T1^14*T2^13 + 749*T1^15*T2^13 - 176*T1^16*T2^13 + 46*T1^6*T2^14 - 
     175*T1^7*T2^14 + 119*T1^8*T2^14 + 722*T1^9*T2^14 - 1843*T1^10*T2^14 + 
     2039*T1^11*T2^14 - 371*T1^12*T2^14 - 980*T1^13*T2^14 + 
     1131*T1^14*T2^14 - 497*T1^15*T2^14 + 92*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 287*T1^9*T2^15 + 280*T1^10*T2^15 + 77*T1^11*T2^15 - 
     616*T1^12*T2^15 + 749*T1^13*T2^15 - 497*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 92*T1^10*T2^16 - 
     176*T1^11*T2^16 + 220*T1^12*T2^16 - 176*T1^13*T2^16 + 92*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 289] -> 
  {(1 - 6*T + 17*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 68*T1^2 + 120*T1^3 - 148*T1^4 + 120*T1^5 - 68*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 300*T1^2*T2 - 414*T1^3*T2 + 
     348*T1^4*T2 - 54*T1^5*T2 - 132*T1^6*T2 + 162*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 68*T2^2 + 300*T1*T2^2 - 542*T1^2*T2^2 + 408*T1^3*T2^2 + 
     147*T1^4*T2^2 - 940*T1^5*T2^2 + 827*T1^6*T2^2 - 408*T1^7*T2^2 + 
     2*T1^8*T2^2 + 96*T1^9*T2^2 - 34*T1^10*T2^2 + 120*T2^3 - 414*T1*T2^3 + 
     408*T1^2*T2^3 + 406*T1^3*T2^3 - 1454*T1^4*T2^3 + 2125*T1^5*T2^3 - 
     479*T1^6*T2^3 - 530*T1^7*T2^3 + 850*T1^8*T2^3 - 408*T1^9*T2^3 + 
     24*T1^10*T2^3 + 30*T1^11*T2^3 - 148*T2^4 + 348*T1*T2^4 + 147*T1^2*T2^4 - 
     1454*T1^3*T2^4 + 2023*T1^4*T2^4 - 1362*T1^5*T2^4 - 2265*T1^6*T2^4 + 
     2286*T1^7*T2^4 - 1289*T1^8*T2^4 - 134*T1^9*T2^4 + 503*T1^10*T2^4 - 
     180*T1^11*T2^4 + 120*T2^5 - 54*T1*T2^5 - 940*T1^2*T2^5 + 
     2125*T1^3*T2^5 - 1362*T1^4*T2^5 - 792*T1^5*T2^5 + 4757*T1^6*T2^5 - 
     1561*T1^7*T2^5 - 810*T1^8*T2^5 + 2004*T1^9*T2^5 - 1127*T1^10*T2^5 - 
     4*T1^11*T2^5 + 180*T1^12*T2^5 - 30*T1^13*T2^5 - 68*T2^6 - 132*T1*T2^6 + 
     827*T1^2*T2^6 - 479*T1^3*T2^6 - 2265*T1^4*T2^6 + 4757*T1^5*T2^6 - 
     5849*T1^6*T2^6 - 1561*T1^7*T2^6 + 3663*T1^8*T2^6 - 2575*T1^9*T2^6 + 
     37*T1^10*T2^6 + 1153*T1^11*T2^6 - 501*T1^12*T2^6 - 24*T1^13*T2^6 + 
     34*T1^14*T2^6 + 24*T2^7 + 162*T1*T2^7 - 408*T1^2*T2^7 - 530*T1^3*T2^7 + 
     2286*T1^4*T2^7 - 1561*T1^5*T2^7 - 1561*T1^6*T2^7 + 8492*T1^7*T2^7 - 
     5404*T1^8*T2^7 - 85*T1^9*T2^7 + 2729*T1^10*T2^7 - 2208*T1^11*T2^7 + 
     130*T1^12*T2^7 + 408*T1^13*T2^7 - 96*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 2*T1^2*T2^8 + 850*T1^3*T2^8 - 1289*T1^4*T2^8 - 
     810*T1^5*T2^8 + 3663*T1^6*T2^8 - 5404*T1^7*T2^8 - 1308*T1^8*T2^8 + 
     6260*T1^9*T2^8 - 4265*T1^10*T2^8 + 1062*T1^11*T2^8 + 1379*T1^12*T2^8 - 
     854*T1^13*T2^8 - 2*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 96*T1^2*T2^9 - 408*T1^3*T2^9 - 134*T1^4*T2^9 + 
     2004*T1^5*T2^9 - 2575*T1^6*T2^9 - 85*T1^7*T2^9 + 6260*T1^8*T2^9 - 
     7636*T1^9*T2^9 + 1391*T1^10*T2^9 + 1715*T1^11*T2^9 - 2490*T1^12*T2^9 + 
     526*T1^13*T2^9 + 408*T1^14*T2^9 - 162*T1^15*T2^9 - 24*T1^16*T2^9 - 
     34*T1^2*T2^10 + 24*T1^3*T2^10 + 503*T1^4*T2^10 - 1127*T1^5*T2^10 + 
     37*T1^6*T2^10 + 2729*T1^7*T2^10 - 4265*T1^8*T2^10 + 1391*T1^9*T2^10 + 
     5247*T1^10*T2^10 - 4603*T1^11*T2^10 + 2339*T1^12*T2^10 + 
     505*T1^13*T2^10 - 825*T1^14*T2^10 + 132*T1^15*T2^10 + 68*T1^16*T2^10 + 
     30*T1^3*T2^11 - 180*T1^4*T2^11 - 4*T1^5*T2^11 + 1153*T1^6*T2^11 - 
     2208*T1^7*T2^11 + 1062*T1^8*T2^11 + 1715*T1^9*T2^11 - 4603*T1^10*T2^11 + 
     1044*T1^11*T2^11 + 1158*T1^12*T2^11 - 2099*T1^13*T2^11 + 
     932*T1^14*T2^11 + 54*T1^15*T2^11 - 120*T1^16*T2^11 + 180*T1^5*T2^12 - 
     501*T1^6*T2^12 + 130*T1^7*T2^12 + 1379*T1^8*T2^12 - 2490*T1^9*T2^12 + 
     2339*T1^10*T2^12 + 1158*T1^11*T2^12 - 1933*T1^12*T2^12 + 
     1450*T1^13*T2^12 - 145*T1^14*T2^12 - 348*T1^15*T2^12 + 148*T1^16*T2^12 - 
     30*T1^5*T2^13 - 24*T1^6*T2^13 + 408*T1^7*T2^13 - 854*T1^8*T2^13 + 
     526*T1^9*T2^13 + 505*T1^10*T2^13 - 2099*T1^11*T2^13 + 1450*T1^12*T2^13 - 
     410*T1^13*T2^13 - 408*T1^14*T2^13 + 414*T1^15*T2^13 - 120*T1^16*T2^13 + 
     34*T1^6*T2^14 - 96*T1^7*T2^14 - 2*T1^8*T2^14 + 408*T1^9*T2^14 - 
     825*T1^10*T2^14 + 932*T1^11*T2^14 - 145*T1^12*T2^14 - 408*T1^13*T2^14 + 
     542*T1^14*T2^14 - 300*T1^15*T2^14 + 68*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 162*T1^9*T2^15 + 132*T1^10*T2^15 + 54*T1^11*T2^15 - 
     348*T1^12*T2^15 + 414*T1^13*T2^15 - 300*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 68*T1^10*T2^16 - 
     120*T1^11*T2^16 + 148*T1^12*T2^16 - 120*T1^13*T2^16 + 68*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 290] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((-78 + 390*T1 - 831*T1^2 + 1062*T1^3 - 831*T1^4 + 390*T1^5 - 78*T1^6 + 
      390*T2 - 1693*T1*T2 + 2875*T1^2*T2 - 2593*T1^3*T2 + 692*T1^4*T2 + 
      760*T1^5*T2 - 883*T1^6*T2 + 255*T1^7*T2 - 831*T2^2 + 2875*T1*T2^2 - 
      2715*T1^2*T2^2 - 1048*T1^3*T2^2 + 5863*T1^4*T2^2 - 6040*T1^5*T2^2 + 
      2853*T1^6*T2^2 - 5*T1^7*T2^2 - 255*T1^8*T2^2 + 1062*T2^3 - 
      2593*T1*T2^3 - 1048*T1^2*T2^3 + 8329*T1^3*T2^3 - 12017*T1^4*T2^3 + 
      5680*T1^5*T2^3 + 2005*T1^6*T2^3 - 4216*T1^7*T2^3 + 1502*T1^8*T2^3 - 
      45*T1^9*T2^3 - 831*T2^4 + 692*T1*T2^4 + 5863*T1^2*T2^4 - 
      12017*T1^3*T2^4 + 7641*T1^4*T2^4 + 6607*T1^5*T2^4 - 13203*T1^6*T2^4 + 
      7909*T1^7*T2^4 - 299*T1^8*T2^4 - 1378*T1^9*T2^4 + 321*T1^10*T2^4 + 
      390*T2^5 + 760*T1*T2^5 - 6040*T1^2*T2^5 + 5680*T1^3*T2^5 + 
      6607*T1^4*T2^5 - 18465*T1^5*T2^5 + 13681*T1^6*T2^5 + 1103*T1^7*T2^5 - 
      7559*T1^8*T2^5 + 4424*T1^9*T2^5 - 185*T1^10*T2^5 - 285*T1^11*T2^5 - 
      78*T2^6 - 883*T1*T2^6 + 2853*T1^2*T2^6 + 2005*T1^3*T2^6 - 
      13203*T1^4*T2^6 + 13681*T1^5*T2^6 + 372*T1^6*T2^6 - 14277*T1^7*T2^6 + 
      11017*T1^8*T2^6 - 2129*T1^9*T2^6 - 2775*T1^10*T2^6 + 1007*T1^11*T2^6 + 
      84*T1^12*T2^6 + 255*T1*T2^7 - 5*T1^2*T2^7 - 4216*T1^3*T2^7 + 
      7909*T1^4*T2^7 + 1103*T1^5*T2^7 - 14277*T1^6*T2^7 + 17869*T1^7*T2^7 - 
      4401*T1^8*T2^7 - 5330*T1^9*T2^7 + 6248*T1^10*T2^7 - 950*T1^11*T2^7 - 
      420*T1^12*T2^7 - 255*T1^2*T2^8 + 1502*T1^3*T2^8 - 299*T1^4*T2^8 - 
      7559*T1^5*T2^8 + 11017*T1^6*T2^8 - 4401*T1^7*T2^8 - 9827*T1^8*T2^8 + 
      12367*T1^9*T2^8 - 6461*T1^10*T2^8 - 568*T1^11*T2^8 + 897*T1^12*T2^8 - 
      45*T1^3*T2^9 - 1378*T1^4*T2^9 + 4424*T1^5*T2^9 - 2129*T1^6*T2^9 - 
      5330*T1^7*T2^9 + 12367*T1^8*T2^9 - 8453*T1^9*T2^9 + 1256*T1^10*T2^9 + 
      2717*T1^11*T2^9 - 1152*T1^12*T2^9 + 321*T1^4*T2^10 - 185*T1^5*T2^10 - 
      2775*T1^6*T2^10 + 6248*T1^7*T2^10 - 6461*T1^8*T2^10 + 1256*T1^9*T2^10 + 
      2793*T1^10*T2^10 - 3065*T1^11*T2^10 + 897*T1^12*T2^10 - 
      285*T1^5*T2^11 + 1007*T1^6*T2^11 - 950*T1^7*T2^11 - 568*T1^8*T2^11 + 
      2717*T1^9*T2^11 - 3065*T1^10*T2^11 + 1817*T1^11*T2^11 - 
      420*T1^12*T2^11 + 84*T1^6*T2^12 - 420*T1^7*T2^12 + 897*T1^8*T2^12 - 
      1152*T1^9*T2^12 + 897*T1^10*T2^12 - 420*T1^11*T2^12 + 84*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 291] -> 
  {(5 - 14*T + 20*T^2 - 21*T^3 + 20*T^4 - 14*T^5 + 5*T^6)/T^3, 
   -((770 - 2135*T1 + 3037*T1^2 - 3182*T1^3 + 3037*T1^4 - 2135*T1^5 + 
      770*T1^6 - 2135*T2 + 4150*T1*T2 - 3499*T1^2*T2 + 1810*T1^3*T2 - 
      1060*T1^4*T2 - 1119*T1^5*T2 + 2820*T1^6*T2 - 1785*T1^7*T2 + 3037*T2^2 - 
      3499*T1*T2^2 + 175*T1^2*T2^2 + 1705*T1^3*T2^2 - 981*T1^4*T2^2 + 
      3105*T1^5*T2^2 - 2825*T1^6*T2^2 - 699*T1^7*T2^2 + 2037*T1^8*T2^2 - 
      3182*T2^3 + 1810*T1*T2^3 + 1705*T1^2*T2^3 - 1267*T1^3*T2^3 - 
      859*T1^4*T2^3 - 1629*T1^5*T2^3 + 63*T1^6*T2^3 + 2685*T1^7*T2^3 - 
      1200*T1^8*T2^3 - 1607*T1^9*T2^3 + 3037*T2^4 - 1060*T1*T2^4 - 
      981*T1^2*T2^4 - 859*T1^3*T2^4 + 2216*T1^4*T2^4 + 1264*T1^5*T2^4 + 
      332*T1^6*T2^4 - 1279*T1^7*T2^4 - 749*T1^8*T2^4 + 1600*T1^9*T2^4 + 
      1037*T1^10*T2^4 - 2135*T2^5 - 1119*T1*T2^5 + 3105*T1^2*T2^5 - 
      1629*T1^3*T2^5 + 1264*T1^4*T2^5 - 3934*T1^5*T2^5 + 756*T1^6*T2^5 + 
      704*T1^7*T2^5 - 159*T1^8*T2^5 + 445*T1^9*T2^5 - 1819*T1^10*T2^5 - 
      385*T1^11*T2^5 + 770*T2^6 + 2820*T1*T2^6 - 2825*T1^2*T2^6 + 
      63*T1^3*T2^6 + 332*T1^4*T2^6 + 756*T1^5*T2^6 + 3108*T1^6*T2^6 - 
      3304*T1^7*T2^6 + 1796*T1^8*T2^6 - 1267*T1^9*T2^6 + 1151*T1^10*T2^6 + 
      1000*T1^11*T2^6 + 20*T1^12*T2^6 - 1785*T1*T2^7 - 699*T1^2*T2^7 + 
      2685*T1^3*T2^7 - 1279*T1^4*T2^7 + 704*T1^5*T2^7 - 3304*T1^6*T2^7 + 
      1386*T1^7*T2^7 + 144*T1^8*T2^7 + 191*T1^9*T2^7 + 25*T1^10*T2^7 - 
      1399*T1^11*T2^7 - 35*T1^12*T2^7 + 2037*T1^2*T2^8 - 1200*T1^3*T2^8 - 
      749*T1^4*T2^8 - 159*T1^5*T2^8 + 1796*T1^6*T2^8 + 144*T1^7*T2^8 - 
      88*T1^8*T2^8 - 579*T1^9*T2^8 - 517*T1^10*T2^8 + 1460*T1^11*T2^8 + 
      37*T1^12*T2^8 - 1607*T1^3*T2^9 + 1600*T1^4*T2^9 + 445*T1^5*T2^9 - 
      1267*T1^6*T2^9 + 191*T1^7*T2^9 - 579*T1^8*T2^9 + 63*T1^9*T2^9 + 
      1425*T1^10*T2^9 - 1410*T1^11*T2^9 - 32*T1^12*T2^9 + 1037*T1^4*T2^10 - 
      1819*T1^5*T2^10 + 1151*T1^6*T2^10 + 25*T1^7*T2^10 - 517*T1^8*T2^10 + 
      1425*T1^9*T2^10 - 1849*T1^10*T2^10 + 981*T1^11*T2^10 + 37*T1^12*T2^10 - 
      385*T1^5*T2^11 + 1000*T1^6*T2^11 - 1399*T1^7*T2^11 + 1460*T1^8*T2^11 - 
      1410*T1^9*T2^11 + 981*T1^10*T2^11 - 330*T1^11*T2^11 - 35*T1^12*T2^11 + 
      20*T1^6*T2^12 - 35*T1^7*T2^12 + 37*T1^8*T2^12 - 32*T1^9*T2^12 + 
      37*T1^10*T2^12 - 35*T1^11*T2^12 + 20*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 292] -> 
  {(10 - 32*T + 45*T^2 - 32*T^3 + 10*T^4)/T^2, 
   -((4285 - 13530*T1 + 18963*T1^2 - 13530*T1^3 + 4285*T1^4 - 13530*T2 + 
      32488*T1*T2 - 27468*T1^2*T2 - 2828*T1^3*T2 + 19048*T1^4*T2 - 
      10330*T1^5*T2 + 18963*T2^2 - 27468*T1*T2^2 - 9076*T1^2*T2^2 + 
      53562*T1^3*T2^2 - 40576*T1^4*T2^2 + 1332*T1^5*T2^2 + 9963*T1^6*T2^2 - 
      13530*T2^3 - 2828*T1*T2^3 + 53562*T1^2*T2^3 - 65608*T1^3*T2^3 + 
      4952*T1^4*T2^3 + 36282*T1^5*T2^3 - 19148*T1^6*T2^3 - 3930*T1^7*T2^3 + 
      4285*T2^4 + 19048*T1*T2^4 - 40576*T1^2*T2^4 + 4952*T1^3*T2^4 + 
      57804*T1^4*T2^4 - 53928*T1^5*T2^4 + 6960*T1^6*T2^4 + 11368*T1^7*T2^4 + 
      285*T1^8*T2^4 - 10330*T1*T2^5 + 1332*T1^2*T2^5 + 36282*T1^3*T2^5 - 
      53928*T1^4*T2^5 + 16632*T1^5*T2^5 + 19002*T1^6*T2^5 - 14988*T1^7*T2^5 - 
      730*T1^8*T2^5 + 9963*T1^2*T2^6 - 19148*T1^3*T2^6 + 6960*T1^4*T2^6 + 
      19002*T1^5*T2^6 - 24540*T1^6*T2^6 + 9652*T1^7*T2^6 + 963*T1^8*T2^6 - 
      3930*T1^3*T2^7 + 11368*T1^4*T2^7 - 14988*T1^5*T2^7 + 9652*T1^6*T2^7 - 
      2072*T1^7*T2^7 - 730*T1^8*T2^7 + 285*T1^4*T2^8 - 730*T1^5*T2^8 + 
      963*T1^6*T2^8 - 730*T1^7*T2^8 + 285*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 293] -> 
  {(1 - 5*T + 12*T^2 - 15*T^3 + 15*T^4 - 15*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-2 + 10*T1 - 24*T1^2 + 30*T1^3 - 30*T1^4 + 30*T1^5 - 24*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 95*T1^2*T2 - 90*T1^3*T2 + 75*T1^4*T2 - 
     75*T1^5*T2 + 45*T1^6*T2 + 10*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 
     24*T2^2 + 95*T1*T2^2 - 165*T1^2*T2^2 + 63*T1^3*T2^2 + 2*T1^4*T2^2 + 
     3*T1^5*T2^2 + 74*T1^6*T2^2 - 177*T1^7*T2^2 + 99*T1^8*T2^2 - 
     25*T1^9*T2^2 + 30*T2^3 - 90*T1*T2^3 + 63*T1^2*T2^3 + 261*T1^3*T2^3 - 
     344*T1^4*T2^3 + 251*T1^5*T2^3 - 334*T1^6*T2^3 + 376*T1^7*T2^3 - 
     39*T1^8*T2^3 - 117*T1^9*T2^3 + 75*T1^10*T2^3 - 15*T1^11*T2^3 - 30*T2^4 + 
     75*T1*T2^4 + 2*T1^2*T2^4 - 344*T1^3*T2^4 + 170*T1^4*T2^4 + 
     168*T1^5*T2^4 - 48*T1^6*T2^4 + 18*T1^7*T2^4 - 490*T1^8*T2^4 + 
     406*T1^9*T2^4 - 28*T1^10*T2^4 - 75*T1^11*T2^4 + 30*T1^12*T2^4 + 
     30*T2^5 - 75*T1*T2^5 + 3*T1^2*T2^5 + 251*T1^3*T2^5 + 168*T1^4*T2^5 - 
     626*T1^5*T2^5 + 287*T1^6*T2^5 - 313*T1^7*T2^5 + 934*T1^8*T2^5 - 
     417*T1^9*T2^5 - 244*T1^10*T2^5 + 48*T1^11*T2^5 + 75*T1^12*T2^5 - 
     45*T1^13*T2^5 - 24*T2^6 + 45*T1*T2^6 + 74*T1^2*T2^6 - 334*T1^3*T2^6 - 
     48*T1^4*T2^6 + 287*T1^5*T2^6 + 303*T1^6*T2^6 + 125*T1^7*T2^6 - 
     825*T1^8*T2^6 - 193*T1^9*T2^6 + 492*T1^10*T2^6 + 386*T1^11*T2^6 - 
     202*T1^12*T2^6 - 15*T1^13*T2^6 + 48*T1^14*T2^6 + 10*T2^7 + 10*T1*T2^7 - 
     177*T1^2*T2^7 + 376*T1^3*T2^7 + 18*T1^4*T2^7 - 313*T1^5*T2^7 + 
     125*T1^6*T2^7 - 1310*T1^7*T2^7 + 1630*T1^8*T2^7 - 220*T1^9*T2^7 + 
     527*T1^10*T2^7 - 1137*T1^11*T2^7 - 224*T1^12*T2^7 + 363*T1^13*T2^7 - 
     115*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 99*T1^2*T2^8 - 
     39*T1^3*T2^8 - 490*T1^4*T2^8 + 934*T1^5*T2^8 - 825*T1^6*T2^8 + 
     1630*T1^7*T2^8 - 516*T1^8*T2^8 - 1170*T1^9*T2^8 + 585*T1^10*T2^8 - 
     626*T1^11*T2^8 + 2042*T1^12*T2^8 - 789*T1^13*T2^8 + 21*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 
     117*T1^3*T2^9 + 406*T1^4*T2^9 - 417*T1^5*T2^9 - 193*T1^6*T2^9 - 
     220*T1^7*T2^9 - 1170*T1^8*T2^9 + 1770*T1^9*T2^9 - 565*T1^10*T2^9 + 
     647*T1^11*T2^9 - 1572*T1^12*T2^9 - 194*T1^13*T2^9 + 423*T1^14*T2^9 - 
     150*T1^15*T2^9 - 30*T1^16*T2^9 + 75*T1^3*T2^10 - 28*T1^4*T2^10 - 
     244*T1^5*T2^10 + 492*T1^6*T2^10 + 527*T1^7*T2^10 + 585*T1^8*T2^10 - 
     565*T1^9*T2^10 - 543*T1^10*T2^10 + 47*T1^11*T2^10 + 1032*T1^12*T2^10 + 
     476*T1^13*T2^10 - 304*T1^14*T2^10 + 15*T1^15*T2^10 + 72*T1^16*T2^10 - 
     15*T1^3*T2^11 - 75*T1^4*T2^11 + 48*T1^5*T2^11 + 386*T1^6*T2^11 - 
     1137*T1^7*T2^11 - 626*T1^8*T2^11 + 647*T1^9*T2^11 + 47*T1^10*T2^11 + 
     934*T1^11*T2^11 - 1722*T1^12*T2^11 - 109*T1^13*T2^11 + 93*T1^14*T2^11 + 
     75*T1^15*T2^11 - 90*T1^16*T2^11 + 30*T1^4*T2^12 + 75*T1^5*T2^12 - 
     202*T1^6*T2^12 - 224*T1^7*T2^12 + 2042*T1^8*T2^12 - 1572*T1^9*T2^12 + 
     1032*T1^10*T2^12 - 1722*T1^11*T2^12 + 1382*T1^12*T2^12 + 
     526*T1^13*T2^12 - 232*T1^14*T2^12 - 75*T1^15*T2^12 + 90*T1^16*T2^12 - 
     45*T1^5*T2^13 - 15*T1^6*T2^13 + 363*T1^7*T2^13 - 789*T1^8*T2^13 - 
     194*T1^9*T2^13 + 476*T1^10*T2^13 - 109*T1^11*T2^13 + 526*T1^12*T2^13 - 
     1089*T1^13*T2^13 + 183*T1^14*T2^13 + 150*T1^15*T2^13 - 90*T1^16*T2^13 + 
     48*T1^6*T2^14 - 115*T1^7*T2^14 + 21*T1^8*T2^14 + 423*T1^9*T2^14 - 
     304*T1^10*T2^14 + 93*T1^11*T2^14 - 232*T1^12*T2^14 + 183*T1^13*T2^14 + 
     285*T1^14*T2^14 - 235*T1^15*T2^14 + 72*T1^16*T2^14 - 25*T1^7*T2^15 + 
     95*T1^8*T2^15 - 150*T1^9*T2^15 + 15*T1^10*T2^15 + 75*T1^11*T2^15 - 
     75*T1^12*T2^15 + 150*T1^13*T2^15 - 235*T1^14*T2^15 + 125*T1^15*T2^15 - 
     30*T1^16*T2^15 + 6*T1^8*T2^16 - 30*T1^9*T2^16 + 72*T1^10*T2^16 - 
     90*T1^11*T2^16 + 90*T1^12*T2^16 - 90*T1^13*T2^16 + 72*T1^14*T2^16 - 
     30*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 294] -> 
  {(2 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-15 + 83*T1 - 220*T1^2 + 297*T1^3 - 220*T1^4 + 83*T1^5 - 15*T1^6 + 
     83*T2 - 420*T1*T2 + 999*T1^2*T2 - 1063*T1^3*T2 + 433*T1^4*T2 + 
     119*T1^5*T2 - 134*T1^6*T2 + 39*T1^7*T2 - 220*T2^2 + 999*T1*T2^2 - 
     2018*T1^2*T2^2 + 1087*T1^3*T2^2 + 1252*T1^4*T2^2 - 2161*T1^5*T2^2 + 
     1114*T1^6*T2^2 - 277*T1^7*T2^2 + 12*T1^8*T2^2 + 297*T2^3 - 
     1063*T1*T2^3 + 1087*T1^2*T2^3 + 2969*T1^3*T2^3 - 7074*T1^4*T2^3 + 
     5258*T1^5*T2^3 - 197*T1^6*T2^3 - 1552*T1^7*T2^3 + 873*T1^8*T2^3 - 
     171*T1^9*T2^3 - 220*T2^4 + 433*T1*T2^4 + 1252*T1^2*T2^4 - 
     7074*T1^3*T2^4 + 8201*T1^4*T2^4 + 1245*T1^5*T2^4 - 9559*T1^6*T2^4 + 
     7044*T1^7*T2^4 - 1458*T1^8*T2^4 - 403*T1^9*T2^4 + 244*T1^10*T2^4 + 
     83*T2^5 + 119*T1*T2^5 - 2161*T1^2*T2^5 + 5258*T1^3*T2^5 + 
     1245*T1^4*T2^5 - 18044*T1^5*T2^5 + 22014*T1^6*T2^5 - 7948*T1^7*T2^5 - 
     3502*T1^8*T2^5 + 2914*T1^9*T2^5 - 585*T1^10*T2^5 - 137*T1^11*T2^5 - 
     15*T2^6 - 134*T1*T2^6 + 1114*T1^2*T2^6 - 197*T1^3*T2^6 - 
     9559*T1^4*T2^6 + 22014*T1^5*T2^6 - 10980*T1^6*T2^6 - 12278*T1^7*T2^6 + 
     17675*T1^8*T2^6 - 5599*T1^9*T2^6 - 150*T1^10*T2^6 + 570*T1^11*T2^6 + 
     33*T1^12*T2^6 + 39*T1*T2^7 - 277*T1^2*T2^7 - 1552*T1^3*T2^7 + 
     7044*T1^4*T2^7 - 7948*T1^5*T2^7 - 12278*T1^6*T2^7 + 27780*T1^7*T2^7 - 
     17141*T1^8*T2^7 - 1716*T1^9*T2^7 + 3523*T1^10*T2^7 - 981*T1^11*T2^7 - 
     181*T1^12*T2^7 + 12*T1^2*T2^8 + 873*T1^3*T2^8 - 1458*T1^4*T2^8 - 
     3502*T1^5*T2^8 + 17675*T1^6*T2^8 - 17141*T1^7*T2^8 - 85*T1^8*T2^8 + 
     10616*T1^9*T2^8 - 4168*T1^10*T2^8 + 37*T1^11*T2^8 + 476*T1^12*T2^8 - 
     171*T1^3*T2^9 - 403*T1^4*T2^9 + 2914*T1^5*T2^9 - 5599*T1^6*T2^9 - 
     1716*T1^7*T2^9 + 10616*T1^8*T2^9 - 8765*T1^9*T2^9 + 275*T1^10*T2^9 + 
     1533*T1^11*T2^9 - 639*T1^12*T2^9 + 244*T1^4*T2^10 - 585*T1^5*T2^10 - 
     150*T1^6*T2^10 + 3523*T1^7*T2^10 - 4168*T1^8*T2^10 + 275*T1^9*T2^10 + 
     2982*T1^10*T2^10 - 1861*T1^11*T2^10 + 476*T1^12*T2^10 - 137*T1^5*T2^11 + 
     570*T1^6*T2^11 - 981*T1^7*T2^11 + 37*T1^8*T2^11 + 1533*T1^9*T2^11 - 
     1861*T1^10*T2^11 + 856*T1^11*T2^11 - 181*T1^12*T2^11 + 33*T1^6*T2^12 - 
     181*T1^7*T2^12 + 476*T1^8*T2^12 - 639*T1^9*T2^12 + 476*T1^10*T2^12 - 
     181*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 295] -> 
  {-((3 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-24 + 113*T1 - 199*T1^2 + 226*T1^3 - 199*T1^4 + 113*T1^5 - 24*T1^6 + 
      113*T2 - 544*T1*T2 + 988*T1^2*T2 - 1133*T1^3*T2 + 1009*T1^4*T2 - 
      608*T1^5*T2 + 170*T1^6*T2 - 13*T1^7*T2 - 199*T2^2 + 988*T1*T2^2 - 
      1615*T1^2*T2^2 + 1107*T1^3*T2^2 - 191*T1^4*T2^2 - 765*T1^5*T2^2 + 
      1409*T1^6*T2^2 - 1028*T1^7*T2^2 + 233*T1^8*T2^2 + 226*T2^3 - 
      1133*T1*T2^3 + 1107*T1^2*T2^3 + 1663*T1^3*T2^3 - 3625*T1^4*T2^3 + 
      4277*T1^5*T2^3 - 3815*T1^6*T2^3 + 987*T1^7*T2^3 + 1261*T1^8*T2^3 - 
      503*T1^9*T2^3 - 199*T2^4 + 1009*T1*T2^4 - 191*T1^2*T2^4 - 
      3625*T1^3*T2^4 + 3282*T1^4*T2^4 - 1584*T1^5*T2^4 - 498*T1^6*T2^4 + 
      4475*T1^7*T2^4 - 3863*T1^8*T2^4 - 755*T1^9*T2^4 + 665*T1^10*T2^4 + 
      113*T2^5 - 608*T1*T2^5 - 765*T1^2*T2^5 + 4277*T1^3*T2^5 - 
      1584*T1^4*T2^5 + 936*T1^5*T2^5 - 750*T1^6*T2^5 - 1008*T1^7*T2^5 - 
      3229*T1^8*T2^5 + 6363*T1^9*T2^5 - 692*T1^10*T2^5 - 517*T1^11*T2^5 - 
      24*T2^6 + 170*T1*T2^6 + 1409*T1^2*T2^6 - 3815*T1^3*T2^6 - 
      498*T1^4*T2^6 - 750*T1^5*T2^6 + 1344*T1^6*T2^6 - 18*T1^7*T2^6 + 
      3822*T1^8*T2^6 - 2585*T1^9*T2^6 - 4815*T1^10*T2^6 + 1766*T1^11*T2^6 + 
      138*T1^12*T2^6 - 13*T1*T2^7 - 1028*T1^2*T2^7 + 987*T1^3*T2^7 + 
      4475*T1^4*T2^7 - 1008*T1^5*T2^7 - 18*T1^6*T2^7 - 1704*T1^7*T2^7 - 
      432*T1^8*T2^7 - 3031*T1^9*T2^7 + 8115*T1^10*T2^7 - 1112*T1^11*T2^7 - 
      643*T1^12*T2^7 + 233*T1^2*T2^8 + 1261*T1^3*T2^8 - 3863*T1^4*T2^8 - 
      3229*T1^5*T2^8 + 3822*T1^6*T2^8 - 432*T1^7*T2^8 + 42*T1^8*T2^8 + 
      4871*T1^9*T2^8 - 7535*T1^10*T2^8 - 503*T1^11*T2^8 + 1097*T1^12*T2^8 - 
      503*T1^3*T2^9 - 755*T1^4*T2^9 + 6363*T1^5*T2^9 - 2585*T1^6*T2^9 - 
      3031*T1^7*T2^9 + 4871*T1^8*T2^9 - 8063*T1^9*T2^9 + 6243*T1^10*T2^9 + 
      1639*T1^11*T2^9 - 1232*T1^12*T2^9 + 665*T1^4*T2^10 - 692*T1^5*T2^10 - 
      4815*T1^6*T2^10 + 8115*T1^7*T2^10 - 7535*T1^8*T2^10 + 6243*T1^9*T2^10 - 
      1791*T1^10*T2^10 - 2708*T1^11*T2^10 + 1097*T1^12*T2^10 - 
      517*T1^5*T2^11 + 1766*T1^6*T2^11 - 1112*T1^7*T2^11 - 503*T1^8*T2^11 + 
      1639*T1^9*T2^11 - 2708*T1^10*T2^11 + 2480*T1^11*T2^11 - 
      643*T1^12*T2^11 + 138*T1^6*T2^12 - 643*T1^7*T2^12 + 1097*T1^8*T2^12 - 
      1232*T1^9*T2^12 + 1097*T1^10*T2^12 - 643*T1^11*T2^12 + 138*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 296] -> 
  {-((6 - 28*T + 43*T^2 - 28*T^3 + 6*T^4)/T^2), 
   -((-165 + 766*T1 - 1187*T1^2 + 766*T1^3 - 165*T1^4 + 766*T2 - 3794*T1*T2 + 
      6650*T1^2*T2 - 5278*T1^3*T2 + 1918*T1^4*T2 - 242*T1^5*T2 - 1187*T2^2 + 
      6650*T1*T2^2 - 11880*T1^2*T2^2 + 4422*T1^3*T2^2 + 7212*T1^4*T2^2 - 
      7798*T1^5*T2^2 + 1909*T1^6*T2^2 + 766*T2^3 - 5278*T1*T2^3 + 
      4422*T1^2*T2^3 + 24046*T1^3*T2^3 - 44302*T1^4*T2^3 + 23686*T1^5*T2^3 + 
      1610*T1^6*T2^3 - 2258*T1^7*T2^3 - 165*T2^4 + 1918*T1*T2^4 + 
      7212*T1^2*T2^4 - 44302*T1^3*T2^4 + 43044*T1^4*T2^4 + 9682*T1^5*T2^4 - 
      30500*T1^6*T2^4 + 7294*T1^7*T2^4 + 699*T1^8*T2^4 - 242*T1*T2^5 - 
      7798*T1^2*T2^5 + 23686*T1^3*T2^5 + 9682*T1^4*T2^5 - 58666*T1^5*T2^5 + 
      42950*T1^6*T2^5 - 910*T1^7*T2^5 - 3266*T1^8*T2^5 + 1909*T1^2*T2^6 + 
      1610*T1^3*T2^6 - 30500*T1^4*T2^6 + 42950*T1^5*T2^6 - 11408*T1^6*T2^6 - 
      12838*T1^7*T2^6 + 5005*T1^8*T2^6 - 2258*T1^3*T2^7 + 7294*T1^4*T2^7 - 
      910*T1^5*T2^7 - 12838*T1^6*T2^7 + 13006*T1^7*T2^7 - 3266*T1^8*T2^7 + 
      699*T1^4*T2^8 - 3266*T1^5*T2^8 + 5005*T1^6*T2^8 - 3266*T1^7*T2^8 + 
      699*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 297] -> {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-15 + 70*T1 - 103*T1^2 + 70*T1^3 - 15*T1^4 + 70*T2 - 314*T1*T2 + 
      420*T1^2*T2 - 240*T1^3*T2 + 16*T1^4*T2 + 10*T1^5*T2 - 103*T2^2 + 
      420*T1*T2^2 - 335*T1^2*T2^2 - 217*T1^3*T2^2 + 523*T1^4*T2^2 - 
      282*T1^5*T2^2 + 53*T1^6*T2^2 + 70*T2^3 - 240*T1*T2^3 - 217*T1^2*T2^3 + 
      1226*T1^3*T2^3 - 1348*T1^4*T2^3 + 485*T1^5*T2^3 + 150*T1^6*T2^3 - 
      86*T1^7*T2^3 - 15*T2^4 + 16*T1*T2^4 + 523*T1^2*T2^4 - 1348*T1^3*T2^4 + 
      588*T1^4*T2^4 + 812*T1^5*T2^4 - 1109*T1^6*T2^4 + 232*T1^7*T2^4 + 
      33*T1^8*T2^4 + 10*T1*T2^5 - 282*T1^2*T2^5 + 485*T1^3*T2^5 + 
      812*T1^4*T2^5 - 1762*T1^5*T2^5 + 1187*T1^6*T2^5 + 108*T1^7*T2^5 - 
      146*T1^8*T2^5 + 53*T1^2*T2^6 + 150*T1^3*T2^6 - 1109*T1^4*T2^6 + 
      1187*T1^5*T2^6 - 251*T1^6*T2^6 - 552*T1^7*T2^6 + 209*T1^8*T2^6 - 
      86*T1^3*T2^7 + 232*T1^4*T2^7 + 108*T1^5*T2^7 - 552*T1^6*T2^7 + 
      562*T1^7*T2^7 - 146*T1^8*T2^7 + 33*T1^4*T2^8 - 146*T1^5*T2^8 + 
      209*T1^6*T2^8 - 146*T1^7*T2^8 + 33*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 298] -> 
  {(5 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 5*T^6)/T^3, 
   -((770 - 2435*T1 + 4235*T1^2 - 4978*T1^3 + 4235*T1^4 - 2435*T1^5 + 
      770*T1^6 - 2435*T2 + 5694*T1*T2 - 7023*T1^2*T2 + 4618*T1^3*T2 - 
      262*T1^4*T2 - 3503*T1^5*T2 + 4014*T1^6*T2 - 2035*T1^7*T2 + 4235*T2^2 - 
      7023*T1*T2^2 + 5664*T1^2*T2^2 - 419*T1^3*T2^2 - 3552*T1^4*T2^2 + 
      4341*T1^5*T2^2 - 776*T1^6*T2^2 - 2543*T1^7*T2^2 + 2835*T1^8*T2^2 - 
      4978*T2^3 + 4618*T1*T2^3 - 419*T1^2*T2^3 - 4581*T1^3*T2^3 + 
      4302*T1^4*T2^3 - 1246*T1^5*T2^3 - 3679*T1^6*T2^3 + 4033*T1^7*T2^3 - 
      1062*T1^8*T2^3 - 2503*T1^9*T2^3 + 4235*T2^4 - 262*T1*T2^4 - 
      3552*T1^2*T2^4 + 4302*T1^3*T2^4 + 830*T1^4*T2^4 - 4254*T1^5*T2^4 + 
      5902*T1^6*T2^4 - 1506*T1^7*T2^4 - 2336*T1^8*T2^4 + 3418*T1^9*T2^4 + 
      1435*T1^10*T2^4 - 2435*T2^5 - 3503*T1*T2^5 + 4341*T1^2*T2^5 - 
      1246*T1^3*T2^5 - 4254*T1^4*T2^5 + 3908*T1^5*T2^5 - 1720*T1^6*T2^5 - 
      3470*T1^7*T2^5 + 3782*T1^8*T2^5 - 1343*T1^9*T2^5 - 3183*T1^10*T2^5 - 
      435*T1^11*T2^5 + 770*T2^6 + 4014*T1*T2^6 - 776*T1^2*T2^6 - 
      3679*T1^3*T2^6 + 5902*T1^4*T2^6 - 1720*T1^5*T2^6 - 1404*T1^6*T2^6 + 
      3784*T1^7*T2^6 - 570*T1^8*T2^6 - 2313*T1^9*T2^6 + 3568*T1^10*T2^6 + 
      1294*T1^11*T2^6 + 20*T1^12*T2^6 - 2035*T1*T2^7 - 2543*T1^2*T2^7 + 
      4033*T1^3*T2^7 - 1506*T1^4*T2^7 - 3470*T1^5*T2^7 + 3784*T1^6*T2^7 - 
      1844*T1^7*T2^7 - 2686*T1^8*T2^7 + 3522*T1^9*T2^7 - 1651*T1^10*T2^7 - 
      2223*T1^11*T2^7 - 35*T1^12*T2^7 + 2835*T1^2*T2^8 - 1062*T1^3*T2^8 - 
      2336*T1^4*T2^8 + 3782*T1^5*T2^8 - 570*T1^6*T2^8 - 2686*T1^7*T2^8 + 
      4502*T1^8*T2^8 - 2026*T1^9*T2^8 - 1120*T1^10*T2^8 + 2618*T1^11*T2^8 + 
      35*T1^12*T2^8 - 2503*T1^3*T2^9 + 3418*T1^4*T2^9 - 1343*T1^5*T2^9 - 
      2313*T1^6*T2^9 + 3522*T1^7*T2^9 - 2026*T1^8*T2^9 - 1411*T1^9*T2^9 + 
      3109*T1^10*T2^9 - 2262*T1^11*T2^9 - 28*T1^12*T2^9 + 1435*T1^4*T2^10 - 
      3183*T1^5*T2^10 + 3568*T1^6*T2^10 - 1651*T1^7*T2^10 - 1120*T1^8*T2^10 + 
      3109*T1^9*T2^10 - 2872*T1^10*T2^10 + 1297*T1^11*T2^10 + 
      35*T1^12*T2^10 - 435*T1^5*T2^11 + 1294*T1^6*T2^11 - 2223*T1^7*T2^11 + 
      2618*T1^8*T2^11 - 2262*T1^9*T2^11 + 1297*T1^10*T2^11 - 
      386*T1^11*T2^11 - 35*T1^12*T2^11 + 20*T1^6*T2^12 - 35*T1^7*T2^12 + 
      35*T1^8*T2^12 - 28*T1^9*T2^12 + 35*T1^10*T2^12 - 35*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 299] -> {(8 - 24*T + 33*T^2 - 24*T^3 + 8*T^4)/T^2, 
   -((2232 - 6612*T1 + 9066*T1^2 - 6612*T1^3 + 2232*T1^4 - 6612*T2 + 
      14564*T1*T2 - 11917*T1^2*T2 - 973*T1^3*T2 + 8420*T1^4*T2 - 
      5076*T1^5*T2 + 9066*T2^2 - 11917*T1*T2^2 - 3100*T1^2*T2^2 + 
      20548*T1^3*T2^2 - 16300*T1^4*T2^2 + 755*T1^5*T2^2 + 4842*T1^6*T2^2 - 
      6612*T2^3 - 973*T1*T2^3 + 20548*T1^2*T2^3 - 24604*T1^3*T2^3 + 
      2108*T1^4*T2^3 + 14212*T1^5*T2^3 - 8461*T1^6*T2^3 - 2004*T1^7*T2^3 + 
      2232*T2^4 + 8420*T1*T2^4 - 16300*T1^2*T2^4 + 2108*T1^3*T2^4 + 
      21360*T1^4*T2^4 - 20548*T1^5*T2^4 + 2900*T1^6*T2^4 + 5348*T1^7*T2^4 + 
      184*T1^8*T2^4 - 5076*T1*T2^5 + 755*T1^2*T2^5 + 14212*T1^3*T2^5 - 
      20548*T1^4*T2^5 + 6164*T1^5*T2^5 + 7876*T1^6*T2^5 - 6733*T1^7*T2^5 - 
      468*T1^8*T2^5 + 4842*T1^2*T2^6 - 8461*T1^3*T2^6 + 2900*T1^4*T2^6 + 
      7876*T1^5*T2^6 - 10300*T1^6*T2^6 + 4211*T1^7*T2^6 + 618*T1^8*T2^6 - 
      2004*T1^3*T2^7 + 5348*T1^4*T2^7 - 6733*T1^5*T2^7 + 4211*T1^6*T2^7 - 
      796*T1^7*T2^7 - 468*T1^8*T2^7 + 184*T1^4*T2^8 - 468*T1^5*T2^8 + 
      618*T1^6*T2^8 - 468*T1^7*T2^8 + 184*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 300] -> 
  {(1 - 6*T + 17*T^2 - 32*T^3 + 41*T^4 - 32*T^5 + 17*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 68*T1^2 + 128*T1^3 - 164*T1^4 + 128*T1^5 - 68*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 300*T1^2*T2 - 462*T1^3*T2 + 
     408*T1^4*T2 - 30*T1^5*T2 - 168*T1^6*T2 + 162*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 68*T2^2 + 300*T1*T2^2 - 542*T1^2*T2^2 + 544*T1^3*T2^2 + 
     90*T1^4*T2^2 - 1162*T1^5*T2^2 + 906*T1^6*T2^2 - 340*T1^7*T2^2 + 
     2*T1^8*T2^2 + 96*T1^9*T2^2 - 34*T1^10*T2^2 + 128*T2^3 - 462*T1*T2^3 + 
     544*T1^2*T2^3 - 86*T1^3*T2^3 - 1268*T1^4*T2^3 + 2457*T1^5*T2^3 - 
     285*T1^6*T2^3 - 782*T1^7*T2^3 + 736*T1^8*T2^3 - 374*T1^9*T2^3 + 
     12*T1^10*T2^3 + 32*T1^11*T2^3 - 164*T2^4 + 408*T1*T2^4 + 90*T1^2*T2^4 - 
     1268*T1^3*T2^4 + 3025*T1^4*T2^4 - 3088*T1^5*T2^4 - 1907*T1^6*T2^4 + 
     1864*T1^7*T2^4 - 399*T1^8*T2^4 - 372*T1^9*T2^4 + 574*T1^10*T2^4 - 
     192*T1^11*T2^4 + 128*T2^5 - 30*T1*T2^5 - 1162*T1^2*T2^5 + 
     2457*T1^3*T2^5 - 3088*T1^4*T2^5 + 466*T1^5*T2^5 + 5888*T1^6*T2^5 - 
     1342*T1^7*T2^5 - 2284*T1^8*T2^5 + 2194*T1^9*T2^5 - 1161*T1^10*T2^5 + 
     2*T1^11*T2^5 + 192*T1^12*T2^5 - 32*T1^13*T2^5 - 68*T2^6 - 168*T1*T2^6 + 
     906*T1^2*T2^6 - 285*T1^3*T2^6 - 1907*T1^4*T2^6 + 5888*T1^5*T2^6 - 
     7946*T1^6*T2^6 - 3628*T1^7*T2^6 + 7174*T1^8*T2^6 - 2900*T1^9*T2^6 + 
     3*T1^10*T2^6 + 1143*T1^11*T2^6 - 574*T1^12*T2^6 - 12*T1^13*T2^6 + 
     34*T1^14*T2^6 + 24*T2^7 + 162*T1*T2^7 - 340*T1^2*T2^7 - 782*T1^3*T2^7 + 
     1864*T1^4*T2^7 - 1342*T1^5*T2^7 - 3628*T1^6*T2^7 + 15554*T1^7*T2^7 - 
     11690*T1^8*T2^7 + 72*T1^9*T2^7 + 2772*T1^10*T2^7 - 2098*T1^11*T2^7 + 
     372*T1^12*T2^7 + 374*T1^13*T2^7 - 96*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 2*T1^2*T2^8 + 736*T1^3*T2^8 - 399*T1^4*T2^8 - 
     2284*T1^5*T2^8 + 7174*T1^6*T2^8 - 11690*T1^7*T2^8 + 1404*T1^8*T2^8 + 
     10814*T1^9*T2^8 - 6610*T1^10*T2^8 + 2092*T1^11*T2^8 + 381*T1^12*T2^8 - 
     736*T1^13*T2^8 - 2*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 96*T1^2*T2^9 - 374*T1^3*T2^9 - 372*T1^4*T2^9 + 
     2194*T1^5*T2^9 - 2900*T1^6*T2^9 + 72*T1^7*T2^9 + 10814*T1^8*T2^9 - 
     16430*T1^9*T2^9 + 3772*T1^10*T2^9 + 1214*T1^11*T2^9 - 1768*T1^12*T2^9 + 
     782*T1^13*T2^9 + 340*T1^14*T2^9 - 162*T1^15*T2^9 - 24*T1^16*T2^9 - 
     34*T1^2*T2^10 + 12*T1^3*T2^10 + 574*T1^4*T2^10 - 1161*T1^5*T2^10 + 
     3*T1^6*T2^10 + 2772*T1^7*T2^10 - 6610*T1^8*T2^10 + 3772*T1^9*T2^10 + 
     8510*T1^10*T2^10 - 6016*T1^11*T2^10 + 1913*T1^12*T2^10 + 
     267*T1^13*T2^10 - 906*T1^14*T2^10 + 168*T1^15*T2^10 + 68*T1^16*T2^10 + 
     32*T1^3*T2^11 - 192*T1^4*T2^11 + 2*T1^5*T2^11 + 1143*T1^6*T2^11 - 
     2098*T1^7*T2^11 + 2092*T1^8*T2^11 + 1214*T1^9*T2^11 - 6016*T1^10*T2^11 - 
     658*T1^11*T2^11 + 3184*T1^12*T2^11 - 2475*T1^13*T2^11 + 
     1166*T1^14*T2^11 + 30*T1^15*T2^11 - 128*T1^16*T2^11 + 192*T1^5*T2^12 - 
     574*T1^6*T2^12 + 372*T1^7*T2^12 + 381*T1^8*T2^12 - 1768*T1^9*T2^12 + 
     1913*T1^10*T2^12 + 3184*T1^11*T2^12 - 3043*T1^12*T2^12 + 
     1268*T1^13*T2^12 - 90*T1^14*T2^12 - 408*T1^15*T2^12 + 164*T1^16*T2^12 - 
     32*T1^5*T2^13 - 12*T1^6*T2^13 + 374*T1^7*T2^13 - 736*T1^8*T2^13 + 
     782*T1^9*T2^13 + 267*T1^10*T2^13 - 2475*T1^11*T2^13 + 1268*T1^12*T2^13 + 
     86*T1^13*T2^13 - 544*T1^14*T2^13 + 462*T1^15*T2^13 - 128*T1^16*T2^13 + 
     34*T1^6*T2^14 - 96*T1^7*T2^14 - 2*T1^8*T2^14 + 340*T1^9*T2^14 - 
     906*T1^10*T2^14 + 1166*T1^11*T2^14 - 90*T1^12*T2^14 - 544*T1^13*T2^14 + 
     542*T1^14*T2^14 - 300*T1^15*T2^14 + 68*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 162*T1^9*T2^15 + 168*T1^10*T2^15 + 30*T1^11*T2^15 - 
     408*T1^12*T2^15 + 462*T1^13*T2^15 - 300*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 68*T1^10*T2^16 - 
     128*T1^11*T2^16 + 164*T1^12*T2^16 - 128*T1^13*T2^16 + 68*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 301] -> 
  {-((1 - 7*T + 22*T^2 - 43*T^3 + 53*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 129*T1^3 - 159*T1^4 + 129*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      595*T1^3*T2 + 511*T1^4*T2 - 161*T1^5*T2 - 140*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 787*T1^2*T2^2 + 
      835*T1^3*T2^2 + 229*T1^4*T2^2 - 1403*T1^5*T2^2 + 1593*T1^6*T2^2 - 
      749*T1^7*T2^2 + 137*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      129*T2^3 - 595*T1*T2^3 + 835*T1^2*T2^3 + 133*T1^3*T2^3 - 
      2967*T1^4*T2^3 + 4116*T1^5*T2^3 - 2283*T1^6*T2^3 - 697*T1^7*T2^3 + 
      1343*T1^8*T2^3 - 771*T1^9*T2^3 + 154*T1^10*T2^3 - 159*T2^4 + 
      511*T1*T2^4 + 229*T1^2*T2^4 - 2967*T1^3*T2^4 + 6853*T1^4*T2^4 - 
      4870*T1^5*T2^4 - 1613*T1^6*T2^4 + 6160*T1^7*T2^4 - 3795*T1^8*T2^4 + 
      559*T1^9*T2^4 + 679*T1^10*T2^4 - 371*T1^11*T2^4 + 53*T1^12*T2^4 + 
      129*T2^5 - 161*T1*T2^5 - 1403*T1^2*T2^5 + 4116*T1^3*T2^5 - 
      4870*T1^4*T2^5 - 3774*T1^5*T2^5 + 13022*T1^6*T2^5 - 11684*T1^7*T2^5 + 
      396*T1^8*T2^5 + 5273*T1^9*T2^5 - 3557*T1^10*T2^5 + 712*T1^11*T2^5 + 
      231*T1^12*T2^5 - 86*T1^13*T2^5 - 66*T2^6 - 140*T1*T2^6 + 
      1593*T1^2*T2^6 - 2283*T1^3*T2^6 - 1613*T1^4*T2^6 + 13022*T1^5*T2^6 - 
      16030*T1^6*T2^6 + 1162*T1^7*T2^6 + 15690*T1^8*T2^6 - 13998*T1^9*T2^6 + 
      2583*T1^10*T2^6 + 2205*T1^11*T2^6 - 1599*T1^12*T2^6 + 140*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 749*T1^2*T2^7 - 697*T1^3*T2^7 + 
      6160*T1^4*T2^7 - 11684*T1^5*T2^7 + 1162*T1^6*T2^7 + 24430*T1^7*T2^7 - 
      31822*T1^8*T2^7 + 11819*T1^9*T2^7 + 8394*T1^10*T2^7 - 7531*T1^11*T2^7 + 
      2057*T1^12*T2^7 + 725*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 137*T1^2*T2^8 + 1343*T1^3*T2^8 - 3795*T1^4*T2^8 + 
      396*T1^5*T2^8 + 15690*T1^6*T2^8 - 31822*T1^7*T2^8 + 13308*T1^8*T2^8 + 
      19238*T1^9*T2^8 - 29232*T1^10*T2^8 + 10044*T1^11*T2^8 + 
      693*T1^12*T2^8 - 2387*T1^13*T2^8 + 191*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 56*T1^2*T2^9 - 771*T1^3*T2^9 + 
      559*T1^4*T2^9 + 5273*T1^5*T2^9 - 13998*T1^6*T2^9 + 11819*T1^7*T2^9 + 
      19238*T1^8*T2^9 - 37014*T1^9*T2^9 + 22476*T1^10*T2^9 + 
      6080*T1^11*T2^9 - 8418*T1^12*T2^9 + 3313*T1^13*T2^9 + 703*T1^14*T2^9 - 
      371*T1^15*T2^9 - 35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 
      679*T1^4*T2^10 - 3557*T1^5*T2^10 + 2583*T1^6*T2^10 + 8394*T1^7*T2^10 - 
      29232*T1^8*T2^10 + 22476*T1^9*T2^10 + 2488*T1^10*T2^10 - 
      18626*T1^11*T2^10 + 6779*T1^12*T2^10 + 931*T1^13*T2^10 - 
      2513*T1^14*T2^10 + 434*T1^15*T2^10 + 110*T1^16*T2^10 - 371*T1^4*T2^11 + 
      712*T1^5*T2^11 + 2205*T1^6*T2^11 - 7531*T1^7*T2^11 + 10044*T1^8*T2^11 + 
      6080*T1^9*T2^11 - 18626*T1^10*T2^11 + 14214*T1^11*T2^11 + 
      2612*T1^12*T2^11 - 5468*T1^13*T2^11 + 2827*T1^14*T2^11 + 
      21*T1^15*T2^11 - 215*T1^16*T2^11 + 53*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1599*T1^6*T2^12 + 2057*T1^7*T2^12 + 693*T1^8*T2^12 - 8418*T1^9*T2^12 + 
      6779*T1^10*T2^12 + 2612*T1^11*T2^12 - 9955*T1^12*T2^12 + 
      5583*T1^13*T2^12 - 1149*T1^14*T2^12 - 651*T1^15*T2^12 + 
      265*T1^16*T2^12 - 86*T1^5*T2^13 + 140*T1^6*T2^13 + 725*T1^7*T2^13 - 
      2387*T1^8*T2^13 + 3313*T1^9*T2^13 + 931*T1^10*T2^13 - 
      5468*T1^11*T2^13 + 5583*T1^12*T2^13 - 1177*T1^13*T2^13 - 
      881*T1^14*T2^13 + 889*T1^15*T2^13 - 215*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 191*T1^8*T2^14 + 703*T1^9*T2^14 - 2513*T1^10*T2^14 + 
      2827*T1^11*T2^14 - 1149*T1^12*T2^14 - 881*T1^13*T2^14 + 
      1115*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 434*T1^10*T2^15 + 21*T1^11*T2^15 - 
      651*T1^12*T2^15 + 889*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      215*T1^11*T2^16 + 265*T1^12*T2^16 - 215*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 302] -> 
  {(1 - 7*T + 20*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 40*T1^2 + 66*T1^3 - 78*T1^4 + 66*T1^5 - 40*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 231*T1^2*T2 - 322*T1^3*T2 + 315*T1^4*T2 - 
     189*T1^5*T2 + 49*T1^6*T2 + 42*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     40*T2^2 + 231*T1*T2^2 - 456*T1^2*T2^2 + 336*T1^3*T2^2 + 58*T1^4*T2^2 - 
     592*T1^5*T2^2 + 818*T1^6*T2^2 - 704*T1^7*T2^2 + 304*T1^8*T2^2 - 
     49*T1^9*T2^2 + 66*T2^3 - 322*T1*T2^3 + 336*T1^2*T2^3 + 597*T1^3*T2^3 - 
     1787*T1^4*T2^3 + 2618*T1^5*T2^3 - 2215*T1^6*T2^3 + 1079*T1^7*T2^3 + 
     183*T1^8*T2^3 - 524*T1^9*T2^3 + 231*T1^10*T2^3 - 33*T1^11*T2^3 - 
     78*T2^4 + 315*T1*T2^4 + 58*T1^2*T2^4 - 1787*T1^3*T2^4 + 2944*T1^4*T2^4 - 
     2499*T1^5*T2^4 + 140*T1^6*T2^4 + 2223*T1^7*T2^4 - 3140*T1^8*T2^4 + 
     1843*T1^9*T2^4 - 56*T1^10*T2^4 - 315*T1^11*T2^4 + 78*T1^12*T2^4 + 
     66*T2^5 - 189*T1*T2^5 - 592*T1^2*T2^5 + 2618*T1^3*T2^5 - 
     2499*T1^4*T2^5 - 286*T1^5*T2^5 + 3687*T1^6*T2^5 - 4881*T1^7*T2^5 + 
     2630*T1^8*T2^5 + 1092*T1^9*T2^5 - 3037*T1^10*T2^5 + 1181*T1^11*T2^5 + 
     147*T1^12*T2^5 - 99*T1^13*T2^5 - 40*T2^6 + 49*T1*T2^6 + 818*T1^2*T2^6 - 
     2215*T1^3*T2^6 + 140*T1^4*T2^6 + 3687*T1^5*T2^6 - 4358*T1^6*T2^6 + 
     1748*T1^7*T2^6 + 3538*T1^8*T2^6 - 5721*T1^9*T2^6 + 3968*T1^10*T2^6 + 
     1385*T1^11*T2^6 - 1690*T1^12*T2^6 + 133*T1^13*T2^6 + 80*T1^14*T2^6 + 
     14*T2^7 + 42*T1*T2^7 - 704*T1^2*T2^7 + 1079*T1^3*T2^7 + 2223*T1^4*T2^7 - 
     4881*T1^5*T2^7 + 1748*T1^6*T2^7 + 1450*T1^7*T2^7 - 4782*T1^8*T2^7 + 
     1699*T1^9*T2^7 + 2007*T1^10*T2^7 - 5892*T1^11*T2^7 + 1269*T1^12*T2^7 + 
     1236*T1^13*T2^7 - 315*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     304*T1^2*T2^8 + 183*T1^3*T2^8 - 3140*T1^4*T2^8 + 2630*T1^5*T2^8 + 
     3538*T1^6*T2^8 - 4782*T1^7*T2^8 + 5388*T1^8*T2^8 + 530*T1^9*T2^8 - 
     1832*T1^10*T2^8 + 2414*T1^11*T2^8 + 4224*T1^12*T2^8 - 3223*T1^13*T2^8 + 
     6*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 524*T1^3*T2^9 + 1843*T1^4*T2^9 + 1092*T1^5*T2^9 - 
     5721*T1^6*T2^9 + 1699*T1^7*T2^9 + 530*T1^8*T2^9 - 5702*T1^9*T2^9 + 
     1650*T1^10*T2^9 + 1167*T1^11*T2^9 - 7023*T1^12*T2^9 + 2033*T1^13*T2^9 + 
     1416*T1^14*T2^9 - 406*T1^15*T2^9 - 42*T1^16*T2^9 + 231*T1^3*T2^10 - 
     56*T1^4*T2^10 - 3037*T1^5*T2^10 + 3968*T1^6*T2^10 + 2007*T1^7*T2^10 - 
     1832*T1^8*T2^10 + 1650*T1^9*T2^10 + 6064*T1^10*T2^10 - 
     7401*T1^11*T2^10 + 7796*T1^12*T2^10 + 563*T1^13*T2^10 - 
     2564*T1^14*T2^10 + 315*T1^15*T2^10 + 120*T1^16*T2^10 - 33*T1^3*T2^11 - 
     315*T1^4*T2^11 + 1181*T1^5*T2^11 + 1385*T1^6*T2^11 - 5892*T1^7*T2^11 + 
     2414*T1^8*T2^11 + 1167*T1^9*T2^11 - 7401*T1^10*T2^11 + 
     5330*T1^11*T2^11 - 2301*T1^12*T2^11 - 4270*T1^13*T2^11 + 
     2954*T1^14*T2^11 + 21*T1^15*T2^11 - 198*T1^16*T2^11 + 78*T1^4*T2^12 + 
     147*T1^5*T2^12 - 1690*T1^6*T2^12 + 1269*T1^7*T2^12 + 4224*T1^8*T2^12 - 
     7023*T1^9*T2^12 + 7796*T1^10*T2^12 - 2301*T1^11*T2^12 - 
     1860*T1^12*T2^12 + 4899*T1^13*T2^12 - 1804*T1^14*T2^12 - 
     483*T1^15*T2^12 + 234*T1^16*T2^12 - 99*T1^5*T2^13 + 133*T1^6*T2^13 + 
     1236*T1^7*T2^13 - 3223*T1^8*T2^13 + 2033*T1^9*T2^13 + 563*T1^10*T2^13 - 
     4270*T1^11*T2^13 + 4899*T1^12*T2^13 - 3637*T1^13*T2^13 + 
     376*T1^14*T2^13 + 686*T1^15*T2^13 - 198*T1^16*T2^13 + 80*T1^6*T2^14 - 
     315*T1^7*T2^14 + 6*T1^8*T2^14 + 1416*T1^9*T2^14 - 2564*T1^10*T2^14 + 
     2954*T1^11*T2^14 - 1804*T1^12*T2^14 + 376*T1^13*T2^14 + 
     766*T1^14*T2^14 - 595*T1^15*T2^14 + 120*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 406*T1^9*T2^15 + 315*T1^10*T2^15 + 21*T1^11*T2^15 - 
     483*T1^12*T2^15 + 686*T1^13*T2^15 - 595*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 120*T1^10*T2^16 - 
     198*T1^11*T2^16 + 234*T1^12*T2^16 - 198*T1^13*T2^16 + 120*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 303] -> 
  {-((3 - 15*T + 34*T^2 - 45*T^3 + 34*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-84 + 420*T1 - 952*T1^2 + 1262*T1^3 - 952*T1^4 + 420*T1^5 - 84*T1^6 + 
      420*T2 - 1817*T1*T2 + 3339*T1^2*T2 - 3081*T1^3*T2 + 474*T1^4*T2 + 
      1134*T1^5*T2 - 1007*T1^6*T2 + 285*T1^7*T2 - 952*T2^2 + 3339*T1*T2^2 - 
      4025*T1^2*T2^2 - 75*T1^3*T2^2 + 6673*T1^4*T2^2 - 6195*T1^5*T2^2 + 
      2299*T1^6*T2^2 + 279*T1^7*T2^2 - 340*T1^8*T2^2 + 1262*T2^3 - 
      3081*T1*T2^3 - 75*T1^2*T2^3 + 8947*T1^3*T2^3 - 15095*T1^4*T2^3 + 
      5350*T1^5*T2^3 + 3397*T1^6*T2^3 - 4665*T1^7*T2^3 + 1464*T1^8*T2^3 + 
      47*T1^9*T2^3 - 952*T2^4 + 474*T1*T2^4 + 6673*T1^2*T2^4 - 
      15095*T1^3*T2^4 + 11988*T1^4*T2^4 + 9380*T1^5*T2^4 - 15864*T1^6*T2^4 + 
      8395*T1^7*T2^4 + 295*T1^8*T2^4 - 1596*T1^9*T2^4 + 272*T1^10*T2^4 + 
      420*T2^5 + 1134*T1*T2^5 - 6195*T1^2*T2^5 + 5350*T1^3*T2^5 + 
      9380*T1^4*T2^5 - 29819*T1^5*T2^5 + 20131*T1^6*T2^5 + 200*T1^7*T2^5 - 
      9005*T1^8*T2^5 + 4515*T1^9*T2^5 - 81*T1^10*T2^5 - 255*T1^11*T2^5 - 
      84*T2^6 - 1007*T1*T2^6 + 2299*T1^2*T2^6 + 3397*T1^3*T2^6 - 
      15864*T1^4*T2^6 + 20131*T1^5*T2^6 + 3252*T1^6*T2^6 - 22139*T1^7*T2^6 + 
      17144*T1^8*T2^6 - 3113*T1^9*T2^6 - 2429*T1^10*T2^6 + 883*T1^11*T2^6 + 
      78*T1^12*T2^6 + 285*T1*T2^7 + 279*T1^2*T2^7 - 4665*T1^3*T2^7 + 
      8395*T1^4*T2^7 + 200*T1^5*T2^7 - 22139*T1^6*T2^7 + 27811*T1^7*T2^7 - 
      8980*T1^8*T2^7 - 5960*T1^9*T2^7 + 6045*T1^10*T2^7 - 936*T1^11*T2^7 - 
      390*T1^12*T2^7 - 340*T1^2*T2^8 + 1464*T1^3*T2^8 + 295*T1^4*T2^8 - 
      9005*T1^5*T2^8 + 17144*T1^6*T2^8 - 8980*T1^7*T2^8 - 10708*T1^8*T2^8 + 
      14485*T1^9*T2^8 - 6083*T1^10*T2^8 - 606*T1^11*T2^8 + 884*T1^12*T2^8 + 
      47*T1^3*T2^9 - 1596*T1^4*T2^9 + 4515*T1^5*T2^9 - 3113*T1^6*T2^9 - 
      5960*T1^7*T2^9 + 14485*T1^8*T2^9 - 8663*T1^9*T2^9 - 75*T1^10*T2^9 + 
      2949*T1^11*T2^9 - 1168*T1^12*T2^9 + 272*T1^4*T2^10 - 81*T1^5*T2^10 - 
      2429*T1^6*T2^10 + 6045*T1^7*T2^10 - 6083*T1^8*T2^10 - 75*T1^9*T2^10 + 
      3895*T1^10*T2^10 - 3141*T1^11*T2^10 + 884*T1^12*T2^10 - 
      255*T1^5*T2^11 + 883*T1^6*T2^11 - 936*T1^7*T2^11 - 606*T1^8*T2^11 + 
      2949*T1^9*T2^11 - 3141*T1^10*T2^11 + 1693*T1^11*T2^11 - 
      390*T1^12*T2^11 + 78*T1^6*T2^12 - 390*T1^7*T2^12 + 884*T1^8*T2^12 - 
      1168*T1^9*T2^12 + 884*T1^10*T2^12 - 390*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 304] -> 
  {-((3 - 14*T + 26*T^2 - 31*T^3 + 26*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-138 + 643*T1 - 1188*T1^2 + 1414*T1^3 - 1188*T1^4 + 643*T1^5 - 
      138*T1^6 + 643*T2 - 2480*T1*T2 + 3131*T1^2*T2 - 2146*T1^3*T2 + 
      248*T1^4*T2 + 1451*T1^5*T2 - 1766*T1^6*T2 + 517*T1^7*T2 - 1188*T2^2 + 
      3131*T1*T2^2 + 255*T1^2*T2^2 - 5237*T1^3*T2^2 + 8323*T1^4*T2^2 - 
      7889*T1^5*T2^2 + 3843*T1^6*T2^2 + 947*T1^7*T2^2 - 720*T1^8*T2^2 + 
      1414*T2^3 - 2146*T1*T2^3 - 5237*T1^2*T2^3 + 9101*T1^3*T2^3 - 
      7445*T1^4*T2^3 + 2143*T1^5*T2^3 + 4027*T1^6*T2^3 - 6303*T1^7*T2^3 + 
      668*T1^8*T2^3 + 577*T1^9*T2^3 - 1188*T2^4 + 248*T1*T2^4 + 
      8323*T1^2*T2^4 - 7445*T1^3*T2^4 + 1895*T1^4*T2^4 + 3333*T1^5*T2^4 - 
      5685*T1^6*T2^4 + 2847*T1^7*T2^4 + 4283*T1^8*T2^4 - 1516*T1^9*T2^4 - 
      252*T1^10*T2^4 + 643*T2^5 + 1451*T1*T2^5 - 7889*T1^2*T2^5 + 
      2143*T1^3*T2^5 + 3333*T1^4*T2^5 - 4158*T1^5*T2^5 + 1674*T1^6*T2^5 + 
      2761*T1^7*T2^5 - 6037*T1^8*T2^5 - 479*T1^9*T2^5 + 1115*T1^10*T2^5 + 
      13*T1^11*T2^5 - 138*T2^6 - 1766*T1*T2^6 + 3843*T1^2*T2^6 + 
      4027*T1^3*T2^6 - 5685*T1^4*T2^6 + 1674*T1^5*T2^6 + 2208*T1^6*T2^6 - 
      4034*T1^7*T2^6 + 2511*T1^8*T2^6 + 3809*T1^9*T2^6 - 1673*T1^10*T2^6 - 
      170*T1^11*T2^6 + 24*T1^12*T2^6 + 517*T1*T2^7 + 947*T1^2*T2^7 - 
      6303*T1^3*T2^7 + 2847*T1^4*T2^7 + 2761*T1^5*T2^7 - 4034*T1^6*T2^7 + 
      1798*T1^7*T2^7 + 2189*T1^8*T2^7 - 5333*T1^9*T2^7 + 1107*T1^10*T2^7 + 
      611*T1^11*T2^7 - 113*T1^12*T2^7 - 720*T1^2*T2^8 + 668*T1^3*T2^8 + 
      4283*T1^4*T2^8 - 6037*T1^5*T2^8 + 2511*T1^6*T2^8 + 2189*T1^7*T2^8 - 
      5069*T1^8*T2^8 + 4255*T1^9*T2^8 + 243*T1^10*T2^8 - 1096*T1^11*T2^8 + 
      216*T1^12*T2^8 + 577*T1^3*T2^9 - 1516*T1^4*T2^9 - 479*T1^5*T2^9 + 
      3809*T1^6*T2^9 - 5333*T1^7*T2^9 + 4255*T1^8*T2^9 - 1265*T1^9*T2^9 - 
      1545*T1^10*T2^9 + 1298*T1^11*T2^9 - 260*T1^12*T2^9 - 252*T1^4*T2^10 + 
      1115*T1^5*T2^10 - 1673*T1^6*T2^10 + 1107*T1^7*T2^10 + 243*T1^8*T2^10 - 
      1545*T1^9*T2^10 + 1915*T1^10*T2^10 - 1069*T1^11*T2^10 + 
      216*T1^12*T2^10 + 13*T1^5*T2^11 - 170*T1^6*T2^11 + 611*T1^7*T2^11 - 
      1096*T1^8*T2^11 + 1298*T1^9*T2^11 - 1069*T1^10*T2^11 + 
      544*T1^11*T2^11 - 113*T1^12*T2^11 + 24*T1^6*T2^12 - 113*T1^7*T2^12 + 
      216*T1^8*T2^12 - 260*T1^9*T2^12 + 216*T1^10*T2^12 - 113*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 305] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^3)/T^4), 
   -((-3 + 18*T1 - 48*T1^2 + 84*T1^3 - 99*T1^4 + 84*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 312*T1^3*T2 + 
      258*T1^4*T2 - 108*T1^5*T2 - 48*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 295*T1^3*T2^2 + 
      161*T1^4*T2^2 - 563*T1^5*T2^2 + 705*T1^6*T2^2 - 409*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 84*T2^3 - 312*T1*T2^3 + 
      295*T1^2*T2^3 + 102*T1^3*T2^3 - 1007*T1^4*T2^3 + 1253*T1^5*T2^3 - 
      907*T1^6*T2^3 - 59*T1^7*T2^3 + 426*T1^8*T2^3 - 377*T1^9*T2^3 + 
      96*T1^10*T2^3 - 99*T2^4 + 258*T1*T2^4 + 161*T1^2*T2^4 - 
      1007*T1^3*T2^4 + 2129*T1^4*T2^4 - 1590*T1^5*T2^4 + 371*T1^6*T2^4 + 
      1218*T1^7*T2^4 - 1039*T1^8*T2^4 + 337*T1^9*T2^4 + 257*T1^10*T2^4 - 
      198*T1^11*T2^4 + 33*T1^12*T2^4 + 84*T2^5 - 108*T1*T2^5 - 
      563*T1^2*T2^5 + 1253*T1^3*T2^5 - 1590*T1^4*T2^5 - 312*T1^5*T2^5 + 
      1823*T1^6*T2^5 - 2449*T1^7*T2^5 + 294*T1^8*T2^5 + 1160*T1^9*T2^5 - 
      1195*T1^10*T2^5 + 313*T1^11*T2^5 + 138*T1^12*T2^5 - 56*T1^13*T2^5 - 
      48*T2^6 - 48*T1*T2^6 + 705*T1^2*T2^6 - 907*T1^3*T2^6 + 371*T1^4*T2^6 + 
      1823*T1^5*T2^6 - 2054*T1^6*T2^6 + 582*T1^7*T2^6 + 2554*T1^8*T2^6 - 
      2593*T1^9*T2^6 + 563*T1^10*T2^6 + 821*T1^11*T2^6 - 735*T1^12*T2^6 + 
      48*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 409*T1^2*T2^7 - 
      59*T1^3*T2^7 + 1218*T1^4*T2^7 - 2449*T1^5*T2^7 + 582*T1^6*T2^7 + 
      2770*T1^7*T2^7 - 4724*T1^8*T2^7 + 2070*T1^9*T2^7 + 1535*T1^10*T2^7 - 
      1764*T1^11*T2^7 + 577*T1^12*T2^7 + 455*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 426*T1^3*T2^8 - 
      1039*T1^4*T2^8 + 294*T1^5*T2^8 + 2554*T1^6*T2^8 - 4724*T1^7*T2^8 + 
      2292*T1^8*T2^8 + 2596*T1^9*T2^8 - 5094*T1^10*T2^8 + 2046*T1^11*T2^8 + 
      153*T1^12*T2^8 - 918*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 377*T1^3*T2^9 + 
      337*T1^4*T2^9 + 1160*T1^5*T2^9 - 2593*T1^6*T2^9 + 2070*T1^7*T2^9 + 
      2596*T1^8*T2^9 - 4898*T1^9*T2^9 + 3558*T1^10*T2^9 + 1391*T1^11*T2^9 - 
      1822*T1^12*T2^9 + 973*T1^13*T2^9 + 487*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 257*T1^4*T2^10 - 
      1195*T1^5*T2^10 + 563*T1^6*T2^10 + 1535*T1^7*T2^10 - 5094*T1^8*T2^10 + 
      3558*T1^9*T2^10 - 486*T1^10*T2^10 - 2881*T1^11*T2^10 + 
      755*T1^12*T2^10 + 533*T1^13*T2^10 - 1183*T1^14*T2^10 + 
      192*T1^15*T2^10 + 80*T1^16*T2^10 - 198*T1^4*T2^11 + 313*T1^5*T2^11 + 
      821*T1^6*T2^11 - 1764*T1^7*T2^11 + 2046*T1^8*T2^11 + 1391*T1^9*T2^11 - 
      2881*T1^10*T2^11 + 2652*T1^11*T2^11 + 986*T1^12*T2^11 - 
      1627*T1^13*T2^11 + 1189*T1^14*T2^11 + 48*T1^15*T2^11 - 
      140*T1^16*T2^11 + 33*T1^4*T2^12 + 138*T1^5*T2^12 - 735*T1^6*T2^12 + 
      577*T1^7*T2^12 + 153*T1^8*T2^12 - 1822*T1^9*T2^12 + 755*T1^10*T2^12 + 
      986*T1^11*T2^12 - 3015*T1^12*T2^12 + 1921*T1^13*T2^12 - 
      639*T1^14*T2^12 - 318*T1^15*T2^12 + 165*T1^16*T2^12 - 56*T1^5*T2^13 + 
      48*T1^6*T2^13 + 455*T1^7*T2^13 - 918*T1^8*T2^13 + 973*T1^9*T2^13 + 
      533*T1^10*T2^13 - 1627*T1^11*T2^13 + 1921*T1^12*T2^13 - 
      594*T1^13*T2^13 - 217*T1^14*T2^13 + 456*T1^15*T2^13 - 140*T1^16*T2^13 + 
      48*T1^6*T2^14 - 144*T1^7*T2^14 - 17*T1^8*T2^14 + 487*T1^9*T2^14 - 
      1183*T1^10*T2^14 + 1189*T1^11*T2^14 - 639*T1^12*T2^14 - 
      217*T1^13*T2^14 + 463*T1^14*T2^14 - 336*T1^15*T2^14 + 80*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 192*T1^10*T2^15 + 
      48*T1^11*T2^15 - 318*T1^12*T2^15 + 456*T1^13*T2^15 - 336*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      80*T1^10*T2^16 - 140*T1^11*T2^16 + 165*T1^12*T2^16 - 140*T1^13*T2^16 + 
      80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 306] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-2 + 10*T1 - 26*T1^2 + 42*T1^3 - 50*T1^4 + 42*T1^5 - 26*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 105*T1^2*T2 - 145*T1^3*T2 + 145*T1^4*T2 - 
     85*T1^5*T2 + 25*T1^6*T2 + 15*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 
     26*T2^2 + 105*T1*T2^2 - 214*T1^2*T2^2 + 230*T1^3*T2^2 - 146*T1^4*T2^2 - 
     54*T1^5*T2^2 + 166*T1^6*T2^2 - 186*T1^7*T2^2 + 98*T1^8*T2^2 - 
     25*T1^9*T2^2 + 42*T2^3 - 145*T1*T2^3 + 230*T1^2*T2^3 - 98*T1^3*T2^3 - 
     150*T1^4*T2^3 + 450*T1^5*T2^3 - 398*T1^6*T2^3 + 170*T1^7*T2^3 + 
     118*T1^8*T2^3 - 199*T1^9*T2^3 + 105*T1^10*T2^3 - 21*T1^11*T2^3 - 
     50*T2^4 + 145*T1*T2^4 - 146*T1^2*T2^4 - 150*T1^3*T2^4 + 450*T1^4*T2^4 - 
     578*T1^5*T2^4 + 122*T1^6*T2^4 + 342*T1^7*T2^4 - 510*T1^8*T2^4 + 
     270*T1^9*T2^4 + 104*T1^10*T2^4 - 145*T1^11*T2^4 + 50*T1^12*T2^4 + 
     42*T2^5 - 85*T1*T2^5 - 54*T1^2*T2^5 + 450*T1^3*T2^5 - 578*T1^4*T2^5 + 
     185*T1^5*T2^5 + 671*T1^6*T2^5 - 1027*T1^7*T2^5 + 527*T1^8*T2^5 + 
     133*T1^9*T2^5 - 582*T1^10*T2^5 + 183*T1^11*T2^5 + 65*T1^12*T2^5 - 
     63*T1^13*T2^5 - 26*T2^6 + 25*T1*T2^6 + 166*T1^2*T2^6 - 398*T1^3*T2^6 + 
     122*T1^4*T2^6 + 671*T1^5*T2^6 - 1034*T1^6*T2^6 + 462*T1^7*T2^6 + 
     982*T1^8*T2^6 - 1287*T1^9*T2^6 + 1052*T1^10*T2^6 + 174*T1^11*T2^6 - 
     270*T1^12*T2^6 + 55*T1^13*T2^6 + 52*T1^14*T2^6 + 10*T2^7 + 15*T1*T2^7 - 
     186*T1^2*T2^7 + 170*T1^3*T2^7 + 342*T1^4*T2^7 - 1027*T1^5*T2^7 + 
     462*T1^6*T2^7 + 392*T1^7*T2^7 - 1552*T1^8*T2^7 + 437*T1^9*T2^7 + 
     151*T1^10*T2^7 - 1205*T1^11*T2^7 + 250*T1^12*T2^7 + 165*T1^13*T2^7 - 
     135*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 98*T1^2*T2^8 + 
     118*T1^3*T2^8 - 510*T1^4*T2^8 + 527*T1^5*T2^8 + 982*T1^6*T2^8 - 
     1552*T1^7*T2^8 + 2088*T1^8*T2^8 - 24*T1^9*T2^8 + 48*T1^10*T2^8 + 
     497*T1^11*T2^8 + 918*T1^12*T2^8 - 598*T1^13*T2^8 + 128*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 
     199*T1^3*T2^9 + 270*T1^4*T2^9 + 133*T1^5*T2^9 - 1287*T1^6*T2^9 + 
     437*T1^7*T2^9 - 24*T1^8*T2^9 - 1968*T1^9*T2^9 + 412*T1^10*T2^9 - 
     109*T1^11*T2^9 - 1414*T1^12*T2^9 + 350*T1^13*T2^9 + 152*T1^14*T2^9 - 
     175*T1^15*T2^9 - 30*T1^16*T2^9 + 105*T1^3*T2^10 + 104*T1^4*T2^10 - 
     582*T1^5*T2^10 + 1052*T1^6*T2^10 + 151*T1^7*T2^10 + 48*T1^8*T2^10 + 
     412*T1^9*T2^10 + 2064*T1^10*T2^10 - 1807*T1^11*T2^10 + 
     1982*T1^12*T2^10 - 10*T1^13*T2^10 - 332*T1^14*T2^10 + 135*T1^15*T2^10 + 
     78*T1^16*T2^10 - 21*T1^3*T2^11 - 145*T1^4*T2^11 + 183*T1^5*T2^11 + 
     174*T1^6*T2^11 - 1205*T1^7*T2^11 + 497*T1^8*T2^11 - 109*T1^9*T2^11 - 
     1807*T1^10*T2^11 + 839*T1^11*T2^11 - 494*T1^12*T2^11 - 858*T1^13*T2^11 + 
     420*T1^14*T2^11 + 5*T1^15*T2^11 - 126*T1^16*T2^11 + 50*T1^4*T2^12 + 
     65*T1^5*T2^12 - 270*T1^6*T2^12 + 250*T1^7*T2^12 + 918*T1^8*T2^12 - 
     1414*T1^9*T2^12 + 1982*T1^10*T2^12 - 494*T1^11*T2^12 - 42*T1^12*T2^12 + 
     670*T1^13*T2^12 - 20*T1^14*T2^12 - 225*T1^15*T2^12 + 150*T1^16*T2^12 - 
     63*T1^5*T2^13 + 55*T1^6*T2^13 + 165*T1^7*T2^13 - 598*T1^8*T2^13 + 
     350*T1^9*T2^13 - 10*T1^10*T2^13 - 858*T1^11*T2^13 + 670*T1^12*T2^13 - 
     382*T1^13*T2^13 - 264*T1^14*T2^13 + 305*T1^15*T2^13 - 126*T1^16*T2^13 + 
     52*T1^6*T2^14 - 135*T1^7*T2^14 + 128*T1^8*T2^14 + 152*T1^9*T2^14 - 
     332*T1^10*T2^14 + 420*T1^11*T2^14 - 20*T1^12*T2^14 - 264*T1^13*T2^14 + 
     440*T1^14*T2^14 - 265*T1^15*T2^14 + 78*T1^16*T2^14 - 25*T1^7*T2^15 + 
     95*T1^8*T2^15 - 175*T1^9*T2^15 + 135*T1^10*T2^15 + 5*T1^11*T2^15 - 
     225*T1^12*T2^15 + 305*T1^13*T2^15 - 265*T1^14*T2^15 + 125*T1^15*T2^15 - 
     30*T1^16*T2^15 + 6*T1^8*T2^16 - 30*T1^9*T2^16 + 78*T1^10*T2^16 - 
     126*T1^11*T2^16 + 150*T1^12*T2^16 - 126*T1^13*T2^16 + 78*T1^14*T2^16 - 
     30*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 307] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-15 + 67*T1 - 141*T1^2 + 171*T1^3 - 141*T1^4 + 67*T1^5 - 15*T1^6 + 
     67*T2 - 268*T1*T2 + 492*T1^2*T2 - 476*T1^3*T2 + 280*T1^4*T2 - 
     12*T1^5*T2 - 70*T1^6*T2 + 31*T1^7*T2 - 141*T2^2 + 492*T1*T2^2 - 
     709*T1^2*T2^2 + 313*T1^3*T2^2 + 285*T1^4*T2^2 - 751*T1^5*T2^2 + 
     583*T1^6*T2^2 - 192*T1^7*T2^2 + 11*T1^8*T2^2 + 171*T2^3 - 476*T1*T2^3 + 
     313*T1^2*T2^3 + 741*T1^3*T2^3 - 1631*T1^4*T2^3 + 1687*T1^5*T2^3 - 
     597*T1^6*T2^3 - 428*T1^7*T2^3 + 424*T1^8*T2^3 - 105*T1^9*T2^3 - 
     141*T2^4 + 280*T1*T2^4 + 285*T1^2*T2^4 - 1631*T1^3*T2^4 + 
     2100*T1^4*T2^4 - 880*T1^5*T2^4 - 1112*T1^6*T2^4 + 1911*T1^7*T2^4 - 
     553*T1^8*T2^4 - 260*T1^9*T2^4 + 163*T1^10*T2^4 + 67*T2^5 - 12*T1*T2^5 - 
     751*T1^2*T2^5 + 1687*T1^3*T2^5 - 880*T1^4*T2^5 - 1808*T1^5*T2^5 + 
     3172*T1^6*T2^5 - 2001*T1^7*T2^5 - 1183*T1^8*T2^5 + 1282*T1^9*T2^5 - 
     228*T1^10*T2^5 - 113*T1^11*T2^5 - 15*T2^6 - 70*T1*T2^6 + 583*T1^2*T2^6 - 
     597*T1^3*T2^6 - 1112*T1^4*T2^6 + 3172*T1^5*T2^6 - 1416*T1^6*T2^6 - 
     1644*T1^7*T2^6 + 4166*T1^8*T2^6 - 1491*T1^9*T2^6 - 433*T1^10*T2^6 + 
     362*T1^11*T2^6 + 33*T1^12*T2^6 + 31*T1*T2^7 - 192*T1^2*T2^7 - 
     428*T1^3*T2^7 + 1911*T1^4*T2^7 - 2001*T1^5*T2^7 - 1644*T1^6*T2^7 + 
     3336*T1^7*T2^7 - 3122*T1^8*T2^7 - 959*T1^9*T2^7 + 1605*T1^10*T2^7 - 
     408*T1^11*T2^7 - 149*T1^12*T2^7 + 11*T1^2*T2^8 + 424*T1^3*T2^8 - 
     553*T1^4*T2^8 - 1183*T1^5*T2^8 + 4166*T1^6*T2^8 - 3122*T1^7*T2^8 + 
     954*T1^8*T2^8 + 2359*T1^9*T2^8 - 1391*T1^10*T2^8 - 116*T1^11*T2^8 + 
     315*T1^12*T2^8 - 105*T1^3*T2^9 - 260*T1^4*T2^9 + 1282*T1^5*T2^9 - 
     1491*T1^6*T2^9 - 959*T1^7*T2^9 + 2359*T1^8*T2^9 - 2829*T1^9*T2^9 + 
     541*T1^10*T2^9 + 640*T1^11*T2^9 - 381*T1^12*T2^9 + 163*T1^4*T2^10 - 
     228*T1^5*T2^10 - 433*T1^6*T2^10 + 1605*T1^7*T2^10 - 1391*T1^8*T2^10 + 
     541*T1^9*T2^10 + 859*T1^10*T2^10 - 912*T1^11*T2^10 + 315*T1^12*T2^10 - 
     113*T1^5*T2^11 + 362*T1^6*T2^11 - 408*T1^7*T2^11 - 116*T1^8*T2^11 + 
     640*T1^9*T2^11 - 912*T1^10*T2^11 + 560*T1^11*T2^11 - 149*T1^12*T2^11 + 
     33*T1^6*T2^12 - 149*T1^7*T2^12 + 315*T1^8*T2^12 - 381*T1^9*T2^12 + 
     315*T1^10*T2^12 - 149*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 308] -> 
  {-((1 - 5*T + 9*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 9*T^6 - 5*T^7 + T^8)/T^4), 
   -((-7 + 35*T1 - 63*T1^2 + 91*T1^3 - 105*T1^4 + 91*T1^5 - 63*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 165*T1^2*T2 - 185*T1^3*T2 + 
      135*T1^4*T2 - 5*T1^5*T2 - 75*T1^6*T2 + 95*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 63*T2^2 + 165*T1*T2^2 + 133*T1^2*T2^2 - 301*T1^3*T2^2 + 
      593*T1^4*T2^2 - 837*T1^5*T2^2 + 701*T1^6*T2^2 - 445*T1^7*T2^2 + 
      277*T1^8*T2^2 + 75*T1^9*T2^2 - 45*T1^10*T2^2 + 91*T2^3 - 185*T1*T2^3 - 
      301*T1^2*T2^3 + 198*T1^3*T2^3 - 394*T1^4*T2^3 + 412*T1^5*T2^3 + 
      10*T1^6*T2^3 - 184*T1^7*T2^3 + 114*T1^8*T2^3 - 382*T1^9*T2^3 - 
      35*T1^10*T2^3 + 52*T1^11*T2^3 - 105*T2^4 + 135*T1*T2^4 + 
      593*T1^2*T2^4 - 394*T1^3*T2^4 + 973*T1^4*T2^4 - 1133*T1^5*T2^4 + 
      809*T1^6*T2^4 - 833*T1^7*T2^4 + 773*T1^8*T2^4 - 134*T1^9*T2^4 + 
      483*T1^10*T2^4 - 35*T1^11*T2^4 - 45*T1^12*T2^4 + 91*T2^5 - 5*T1*T2^5 - 
      837*T1^2*T2^5 + 412*T1^3*T2^5 - 1133*T1^4*T2^5 + 961*T1^5*T2^5 - 
      409*T1^6*T2^5 + 355*T1^7*T2^5 - 55*T1^8*T2^5 - 596*T1^9*T2^5 - 
      66*T1^10*T2^5 - 414*T1^11*T2^5 + 95*T1^12*T2^5 + 26*T1^13*T2^5 - 
      63*T2^6 - 75*T1*T2^6 + 701*T1^2*T2^6 + 10*T1^3*T2^6 + 809*T1^4*T2^6 - 
      409*T1^5*T2^6 + 63*T1^6*T2^6 - 315*T1^7*T2^6 + 35*T1^8*T2^6 + 
      369*T1^9*T2^6 + 399*T1^10*T2^6 + 298*T1^11*T2^6 + 157*T1^12*T2^6 - 
      85*T1^13*T2^6 - 9*T1^14*T2^6 + 35*T2^7 + 95*T1*T2^7 - 445*T1^2*T2^7 - 
      184*T1^3*T2^7 - 833*T1^4*T2^7 + 355*T1^5*T2^7 - 315*T1^6*T2^7 + 
      610*T1^7*T2^7 - 68*T1^8*T2^7 - 210*T1^9*T2^7 - 381*T1^10*T2^7 - 
      422*T1^11*T2^7 - 194*T1^12*T2^7 + 14*T1^13*T2^7 + 45*T1^14*T2^7 - 
      7*T2^8 - 115*T1*T2^8 + 277*T1^2*T2^8 + 114*T1^3*T2^8 + 773*T1^4*T2^8 - 
      55*T1^5*T2^8 + 35*T1^6*T2^8 - 68*T1^7*T2^8 - 600*T1^8*T2^8 + 
      528*T1^9*T2^8 - 11*T1^10*T2^8 + 583*T1^11*T2^8 + 169*T1^12*T2^8 + 
      78*T1^13*T2^8 - 77*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 
      30*T1*T2^9 + 75*T1^2*T2^9 - 382*T1^3*T2^9 - 134*T1^4*T2^9 - 
      596*T1^5*T2^9 + 369*T1^6*T2^9 - 210*T1^7*T2^9 + 528*T1^8*T2^9 - 
      150*T1^9*T2^9 - 105*T1^10*T2^9 - 367*T1^11*T2^9 - 185*T1^12*T2^9 - 
      144*T1^13*T2^9 + 77*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 
      45*T1^2*T2^10 - 35*T1^3*T2^10 + 483*T1^4*T2^10 - 66*T1^5*T2^10 + 
      399*T1^6*T2^10 - 381*T1^7*T2^10 - 11*T1^8*T2^10 - 105*T1^9*T2^10 - 
      39*T1^10*T2^10 + 397*T1^11*T2^10 - 11*T1^12*T2^10 + 222*T1^13*T2^10 - 
      61*T1^14*T2^10 - 45*T1^15*T2^10 + 9*T1^16*T2^10 + 52*T1^3*T2^11 - 
      35*T1^4*T2^11 - 414*T1^5*T2^11 + 298*T1^6*T2^11 - 422*T1^7*T2^11 + 
      583*T1^8*T2^11 - 367*T1^9*T2^11 + 397*T1^10*T2^11 - 433*T1^11*T2^11 + 
      115*T1^12*T2^11 - 180*T1^13*T2^11 + 9*T1^14*T2^11 + 65*T1^15*T2^11 - 
      13*T1^16*T2^11 - 45*T1^4*T2^12 + 95*T1^5*T2^12 + 157*T1^6*T2^12 - 
      194*T1^7*T2^12 + 169*T1^8*T2^12 - 185*T1^9*T2^12 - 11*T1^10*T2^12 + 
      115*T1^11*T2^12 - 31*T1^12*T2^12 + 66*T1^13*T2^12 + 47*T1^14*T2^12 - 
      75*T1^15*T2^12 + 15*T1^16*T2^12 + 26*T1^5*T2^13 - 85*T1^6*T2^13 + 
      14*T1^7*T2^13 + 78*T1^8*T2^13 - 144*T1^9*T2^13 + 222*T1^10*T2^13 - 
      180*T1^11*T2^13 + 66*T1^12*T2^13 - 6*T1^13*T2^13 - 67*T1^14*T2^13 + 
      65*T1^15*T2^13 - 13*T1^16*T2^13 - 9*T1^6*T2^14 + 45*T1^7*T2^14 - 
      77*T1^8*T2^14 + 77*T1^9*T2^14 - 61*T1^10*T2^14 + 9*T1^11*T2^14 + 
      47*T1^12*T2^14 - 67*T1^13*T2^14 + 67*T1^14*T2^14 - 45*T1^15*T2^14 + 
      9*T1^16*T2^14 - 5*T1^8*T2^15 + 25*T1^9*T2^15 - 45*T1^10*T2^15 + 
      65*T1^11*T2^15 - 75*T1^12*T2^15 + 65*T1^13*T2^15 - 45*T1^14*T2^15 + 
      25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      9*T1^10*T2^16 - 13*T1^11*T2^16 + 15*T1^12*T2^16 - 13*T1^13*T2^16 + 
      9*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 309] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 225*T1 - 429*T1^2 + 511*T1^3 - 429*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1362*T1^2*T2 - 912*T1^3*T2 + 100*T1^4*T2 + 
      658*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 429*T2^2 + 1362*T1*T2^2 + 
      651*T1^2*T2^2 - 3525*T1^3*T2^2 + 5065*T1^4*T2^2 - 4701*T1^5*T2^2 + 
      2247*T1^6*T2^2 + 438*T1^7*T2^2 - 261*T1^8*T2^2 + 511*T2^3 - 
      912*T1*T2^3 - 3525*T1^2*T2^3 + 5831*T1^3*T2^3 - 4503*T1^4*T2^3 + 
      1323*T1^5*T2^3 + 2489*T1^6*T2^3 - 3672*T1^7*T2^3 + 276*T1^8*T2^3 + 
      211*T1^9*T2^3 - 429*T2^4 + 100*T1*T2^4 + 5065*T1^2*T2^4 - 
      4503*T1^3*T2^4 + 714*T1^4*T2^4 + 2386*T1^5*T2^4 - 3794*T1^6*T2^4 + 
      1747*T1^7*T2^4 + 2543*T1^8*T2^4 - 648*T1^9*T2^4 - 93*T1^10*T2^4 + 
      225*T2^5 + 658*T1*T2^5 - 4701*T1^2*T2^5 + 1323*T1^3*T2^5 + 
      2386*T1^4*T2^5 - 2598*T1^5*T2^5 + 806*T1^6*T2^5 + 1987*T1^7*T2^5 - 
      3655*T1^8*T2^5 - 438*T1^9*T2^5 + 482*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 2247*T1^2*T2^6 + 2489*T1^3*T2^6 - 
      3794*T1^4*T2^6 + 806*T1^5*T2^6 + 1836*T1^6*T2^6 - 2610*T1^7*T2^6 + 
      1368*T1^8*T2^6 + 2351*T1^9*T2^6 - 809*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 438*T1^2*T2^7 - 3672*T1^3*T2^7 + 
      1747*T1^4*T2^7 + 1987*T1^5*T2^7 - 2610*T1^6*T2^7 + 794*T1^7*T2^7 + 
      1588*T1^8*T2^7 - 3231*T1^9*T2^7 + 591*T1^10*T2^7 + 262*T1^11*T2^7 - 
      39*T1^12*T2^7 - 261*T1^2*T2^8 + 276*T1^3*T2^8 + 2543*T1^4*T2^8 - 
      3655*T1^5*T2^8 + 1368*T1^6*T2^8 + 1588*T1^7*T2^8 - 3140*T1^8*T2^8 + 
      2595*T1^9*T2^8 + 21*T1^10*T2^8 - 472*T1^11*T2^8 + 75*T1^12*T2^8 + 
      211*T1^3*T2^9 - 648*T1^4*T2^9 - 438*T1^5*T2^9 + 2351*T1^6*T2^9 - 
      3231*T1^7*T2^9 + 2595*T1^8*T2^9 - 991*T1^9*T2^9 - 585*T1^10*T2^9 + 
      540*T1^11*T2^9 - 89*T1^12*T2^9 - 93*T1^4*T2^10 + 482*T1^5*T2^10 - 
      809*T1^6*T2^10 + 591*T1^7*T2^10 + 21*T1^8*T2^10 - 585*T1^9*T2^10 + 
      787*T1^10*T2^10 - 442*T1^11*T2^10 + 75*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 262*T1^7*T2^11 - 472*T1^8*T2^11 + 540*T1^9*T2^11 - 
      442*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 75*T1^8*T2^12 - 89*T1^9*T2^12 + 75*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 310] -> 
  {-((2 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 185*T1 - 267*T1^2 + 267*T1^3 - 267*T1^4 + 185*T1^5 - 41*T1^6 + 
      185*T2 - 686*T1*T2 + 532*T1^2*T2 - 234*T1^3*T2 + 234*T1^4*T2 + 
      136*T1^5*T2 - 488*T1^6*T2 + 149*T1^7*T2 - 267*T2^2 + 532*T1*T2^2 + 
      1122*T1^2*T2^2 - 1904*T1^3*T2^2 + 1594*T1^4*T2^2 - 2112*T1^5*T2^2 + 
      1694*T1^6*T2^2 + 64*T1^7*T2^2 - 163*T1^8*T2^2 + 267*T2^3 - 
      234*T1*T2^3 - 1904*T1^2*T2^3 + 1463*T1^3*T2^3 - 357*T1^4*T2^3 + 
      969*T1^5*T2^3 + 59*T1^6*T2^3 - 1631*T1^7*T2^3 + 234*T1^8*T2^3 + 
      111*T1^9*T2^3 - 267*T2^4 + 234*T1*T2^4 + 1594*T1^2*T2^4 - 
      357*T1^3*T2^4 - 446*T1^4*T2^4 - 620*T1^5*T2^4 - 238*T1^6*T2^4 + 
      865*T1^7*T2^4 + 840*T1^8*T2^4 - 234*T1^9*T2^4 - 59*T1^10*T2^4 + 
      185*T2^5 + 136*T1*T2^5 - 2112*T1^2*T2^5 + 969*T1^3*T2^5 - 
      620*T1^4*T2^5 + 1732*T1^5*T2^5 - 606*T1^6*T2^5 - 243*T1^7*T2^5 - 
      565*T1^8*T2^5 - 461*T1^9*T2^5 + 244*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 488*T1*T2^6 + 1694*T1^2*T2^6 + 59*T1^3*T2^6 - 238*T1^4*T2^6 - 
      606*T1^5*T2^6 - 888*T1^6*T2^6 + 1390*T1^7*T2^6 - 420*T1^8*T2^6 + 
      917*T1^9*T2^6 - 234*T1^10*T2^6 - 56*T1^11*T2^6 + 7*T1^12*T2^6 + 
      149*T1*T2^7 + 64*T1^2*T2^7 - 1631*T1^3*T2^7 + 865*T1^4*T2^7 - 
      243*T1^5*T2^7 + 1390*T1^6*T2^7 - 948*T1^7*T2^7 + 134*T1^8*T2^7 - 
      669*T1^9*T2^7 + 20*T1^10*T2^7 + 172*T1^11*T2^7 - 31*T1^12*T2^7 - 
      163*T1^2*T2^8 + 234*T1^3*T2^8 + 840*T1^4*T2^8 - 565*T1^5*T2^8 - 
      420*T1^6*T2^8 + 134*T1^7*T2^8 - 212*T1^8*T2^8 + 657*T1^9*T2^8 + 
      86*T1^10*T2^8 - 234*T1^11*T2^8 + 45*T1^12*T2^8 + 111*T1^3*T2^9 - 
      234*T1^4*T2^9 - 461*T1^5*T2^9 + 917*T1^6*T2^9 - 669*T1^7*T2^9 + 
      657*T1^8*T2^9 - 487*T1^9*T2^9 - 188*T1^10*T2^9 + 234*T1^11*T2^9 - 
      45*T1^12*T2^9 - 59*T1^4*T2^10 + 244*T1^5*T2^10 - 234*T1^6*T2^10 + 
      20*T1^7*T2^10 + 86*T1^8*T2^10 - 188*T1^9*T2^10 + 338*T1^10*T2^10 - 
      224*T1^11*T2^10 + 45*T1^12*T2^10 + 5*T1^5*T2^11 - 56*T1^6*T2^11 + 
      172*T1^7*T2^11 - 234*T1^8*T2^11 + 234*T1^9*T2^11 - 224*T1^10*T2^11 + 
      142*T1^11*T2^11 - 31*T1^12*T2^11 + 7*T1^6*T2^12 - 31*T1^7*T2^12 + 
      45*T1^8*T2^12 - 45*T1^9*T2^12 + 45*T1^10*T2^12 - 31*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 311] -> {-((4 - 20*T + 31*T^2 - 20*T^3 + 4*T^4)/T^2), 
   (-2*(-104 + 520*T1 - 804*T1^2 + 520*T1^3 - 104*T1^4 + 520*T2 - 
      2242*T1*T2 + 2222*T1^2*T2 + 182*T1^3*T2 - 1282*T1^4*T2 + 360*T1^5*T2 - 
      804*T2^2 + 2222*T1*T2^2 + 2406*T1^2*T2^2 - 8217*T1^3*T2^2 + 
      5754*T1^4*T2^2 - 258*T1^5*T2^2 - 308*T1^6*T2^2 + 520*T2^3 + 
      182*T1*T2^3 - 8217*T1^2*T2^3 + 11112*T1^3*T2^3 - 1818*T1^4*T2^3 - 
      4497*T1^5*T2^3 + 1342*T1^6*T2^3 + 40*T1^7*T2^3 - 104*T2^4 - 
      1282*T1*T2^4 + 5754*T1^2*T2^4 - 1818*T1^3*T2^4 - 8094*T1^4*T2^4 + 
      8342*T1^5*T2^4 - 1254*T1^6*T2^4 - 322*T1^7*T2^4 + 24*T1^8*T2^4 + 
      360*T1*T2^5 - 258*T1^2*T2^5 - 4497*T1^3*T2^5 + 8342*T1^4*T2^5 - 
      4588*T1^5*T2^5 - 777*T1^6*T2^5 + 902*T1^7*T2^5 - 120*T1^8*T2^5 - 
      308*T1^2*T2^6 + 1342*T1^3*T2^6 - 1254*T1^4*T2^6 - 777*T1^5*T2^6 + 
      2094*T1^6*T2^6 - 1138*T1^7*T2^6 + 188*T1^8*T2^6 + 40*T1^3*T2^7 - 
      322*T1^4*T2^7 + 902*T1^5*T2^7 - 1138*T1^6*T2^7 + 638*T1^7*T2^7 - 
      120*T1^8*T2^7 + 24*T1^4*T2^8 - 120*T1^5*T2^8 + 188*T1^6*T2^8 - 
      120*T1^7*T2^8 + 24*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 312] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-51 + 220*T1 - 456*T1^2 + 559*T1^3 - 456*T1^4 + 220*T1^5 - 51*T1^6 + 
     220*T2 - 845*T1*T2 + 1523*T1^2*T2 - 1496*T1^3*T2 + 844*T1^4*T2 - 
     37*T1^5*T2 - 221*T1^6*T2 + 103*T1^7*T2 - 456*T2^2 + 1523*T1*T2^2 - 
     2162*T1^2*T2^2 + 1029*T1^3*T2^2 + 884*T1^4*T2^2 - 2211*T1^5*T2^2 + 
     1726*T1^6*T2^2 - 583*T1^7*T2^2 + 30*T1^8*T2^2 + 559*T2^3 - 
     1496*T1*T2^3 + 1029*T1^2*T2^3 + 1956*T1^3*T2^3 - 4630*T1^4*T2^3 + 
     4550*T1^5*T2^3 - 1392*T1^6*T2^3 - 1374*T1^7*T2^3 + 1312*T1^8*T2^3 - 
     332*T1^9*T2^3 - 456*T2^4 + 844*T1*T2^4 + 884*T1^2*T2^4 - 
     4630*T1^3*T2^4 + 5789*T1^4*T2^4 - 1899*T1^5*T2^4 - 3595*T1^6*T2^4 + 
     5270*T1^7*T2^4 - 1522*T1^8*T2^4 - 794*T1^9*T2^4 + 516*T1^10*T2^4 + 
     220*T2^5 - 37*T1*T2^5 - 2211*T1^2*T2^5 + 4550*T1^3*T2^5 - 
     1899*T1^4*T2^5 - 5621*T1^5*T2^5 + 8839*T1^6*T2^5 - 4896*T1^7*T2^5 - 
     3190*T1^8*T2^5 + 3540*T1^9*T2^5 - 661*T1^10*T2^5 - 365*T1^11*T2^5 - 
     51*T2^6 - 221*T1*T2^6 + 1726*T1^2*T2^6 - 1392*T1^3*T2^6 - 
     3595*T1^4*T2^6 + 8839*T1^5*T2^6 - 3816*T1^6*T2^6 - 4799*T1^7*T2^6 + 
     10547*T1^8*T2^6 - 3876*T1^9*T2^6 - 1230*T1^10*T2^6 + 1105*T1^11*T2^6 + 
     111*T1^12*T2^6 + 103*T1*T2^7 - 583*T1^2*T2^7 - 1374*T1^3*T2^7 + 
     5270*T1^4*T2^7 - 4896*T1^5*T2^7 - 4799*T1^6*T2^7 + 9661*T1^7*T2^7 - 
     7893*T1^8*T2^7 - 2470*T1^9*T2^7 + 4377*T1^10*T2^7 - 1207*T1^11*T2^7 - 
     482*T1^12*T2^7 + 30*T1^2*T2^8 + 1312*T1^3*T2^8 - 1522*T1^4*T2^8 - 
     3190*T1^5*T2^8 + 10547*T1^6*T2^8 - 7893*T1^7*T2^8 + 1163*T1^8*T2^8 + 
     6710*T1^9*T2^8 - 3928*T1^10*T2^8 - 326*T1^11*T2^8 + 1002*T1^12*T2^8 - 
     332*T1^3*T2^9 - 794*T1^4*T2^9 + 3540*T1^5*T2^9 - 3876*T1^6*T2^9 - 
     2470*T1^7*T2^9 + 6710*T1^8*T2^9 - 7224*T1^9*T2^9 + 1137*T1^10*T2^9 + 
     2014*T1^11*T2^9 - 1223*T1^12*T2^9 + 516*T1^4*T2^10 - 661*T1^5*T2^10 - 
     1230*T1^6*T2^10 + 4377*T1^7*T2^10 - 3928*T1^8*T2^10 + 1137*T1^9*T2^10 + 
     2658*T1^10*T2^10 - 2767*T1^11*T2^10 + 1002*T1^12*T2^10 - 
     365*T1^5*T2^11 + 1105*T1^6*T2^11 - 1207*T1^7*T2^11 - 326*T1^8*T2^11 + 
     2014*T1^9*T2^11 - 2767*T1^10*T2^11 + 1729*T1^11*T2^11 - 
     482*T1^12*T2^11 + 111*T1^6*T2^12 - 482*T1^7*T2^12 + 1002*T1^8*T2^12 - 
     1223*T1^9*T2^12 + 1002*T1^10*T2^12 - 482*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 313] -> 
  {(5 - 19*T + 29*T^2 - 19*T^3 + 5*T^4)/T^2, 
   (-210 + 783*T1 - 1180*T1^2 + 783*T1^3 - 210*T1^4 + 783*T2 - 2605*T1*T2 + 
     3277*T1^2*T2 - 1283*T1^3*T2 - 325*T1^4*T2 + 308*T1^5*T2 - 1180*T2^2 + 
     3277*T1*T2^2 - 2285*T1^2*T2^2 - 2671*T1^3*T2^2 + 4675*T1^4*T2^2 - 
     2233*T1^5*T2^2 + 270*T1^6*T2^2 + 783*T2^3 - 1283*T1*T2^3 - 
     2671*T1^2*T2^3 + 9650*T1^3*T2^3 - 9958*T1^4*T2^3 + 2288*T1^5*T2^3 + 
     1377*T1^6*T2^3 - 642*T1^7*T2^3 - 210*T2^4 - 325*T1*T2^4 + 
     4675*T1^2*T2^4 - 9958*T1^3*T2^4 + 6240*T1^4*T2^4 + 5470*T1^5*T2^4 - 
     6143*T1^6*T2^4 + 1385*T1^7*T2^4 + 290*T1^8*T2^4 + 308*T1*T2^5 - 
     2233*T1^2*T2^5 + 2288*T1^3*T2^5 + 5470*T1^4*T2^5 - 14138*T1^5*T2^5 + 
     7247*T1^6*T2^5 + 427*T1^7*T2^5 - 1117*T1^8*T2^5 + 270*T1^2*T2^6 + 
     1377*T1^3*T2^6 - 6143*T1^4*T2^6 + 7247*T1^5*T2^6 + 817*T1^6*T2^6 - 
     4133*T1^7*T2^6 + 1720*T1^8*T2^6 - 642*T1^3*T2^7 + 1385*T1^4*T2^7 + 
     427*T1^5*T2^7 - 4133*T1^6*T2^7 + 3665*T1^7*T2^7 - 1117*T1^8*T2^7 + 
     290*T1^4*T2^8 - 1117*T1^5*T2^8 + 1720*T1^6*T2^8 - 1117*T1^7*T2^8 + 
     290*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 314] -> 
  {-((1 - 7*T + 21*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 105*T1^2 + 180*T1^3 - 205*T1^4 + 180*T1^5 - 
      105*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 
      672*T1^3*T2 + 427*T1^4*T2 - 112*T1^5*T2 - 273*T1^6*T2 + 343*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 894*T1^2*T2^2 + 
      94*T1^3*T2^2 + 1453*T1^4*T2^2 - 2020*T1^5*T2^2 + 2293*T1^6*T2^2 - 
      1124*T1^7*T2^2 - 54*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 
      180*T2^3 - 672*T1*T2^3 + 94*T1^2*T2^3 + 2903*T1^3*T2^3 - 
      5111*T1^4*T2^3 + 3308*T1^5*T2^3 - 1855*T1^6*T2^3 - 1916*T1^7*T2^3 + 
      2783*T1^8*T2^3 - 998*T1^9*T2^3 - 63*T1^10*T2^3 + 72*T1^11*T2^3 - 
      205*T2^4 + 427*T1*T2^4 + 1453*T1^2*T2^4 - 5111*T1^3*T2^4 + 
      3602*T1^4*T2^4 + 3609*T1^5*T2^4 - 5410*T1^6*T2^4 + 8933*T1^7*T2^4 - 
      4454*T1^8*T2^4 - 935*T1^9*T2^4 + 1369*T1^10*T2^4 - 217*T1^11*T2^4 - 
      41*T1^12*T2^4 + 180*T2^5 - 112*T1*T2^5 - 2020*T1^2*T2^5 + 
      3308*T1^3*T2^5 + 3609*T1^4*T2^5 - 11937*T1^5*T2^5 + 7553*T1^6*T2^5 - 
      6622*T1^7*T2^5 - 3513*T1^8*T2^5 + 6918*T1^9*T2^5 - 2245*T1^10*T2^5 - 
      529*T1^11*T2^5 + 287*T1^12*T2^5 - 105*T2^6 - 273*T1*T2^6 + 
      2293*T1^2*T2^6 - 1855*T1^3*T2^6 - 5410*T1^4*T2^6 + 7553*T1^5*T2^6 + 
      4030*T1^6*T2^6 - 5082*T1^7*T2^6 + 11758*T1^8*T2^6 - 6601*T1^9*T2^6 - 
      2092*T1^10*T2^6 + 2723*T1^11*T2^6 - 395*T1^12*T2^6 - 147*T1^13*T2^6 + 
      21*T1^14*T2^6 + 35*T2^7 + 343*T1*T2^7 - 1124*T1^2*T2^7 - 
      1916*T1^3*T2^7 + 8933*T1^4*T2^7 - 6622*T1^5*T2^7 - 5082*T1^6*T2^7 + 
      1536*T1^7*T2^7 - 3028*T1^8*T2^7 - 3648*T1^9*T2^7 + 7595*T1^10*T2^7 - 
      2436*T1^11*T2^7 - 1187*T1^12*T2^7 + 724*T1^13*T2^7 - 49*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 54*T1^2*T2^8 + 2783*T1^3*T2^8 - 
      4454*T1^4*T2^8 - 3513*T1^5*T2^8 + 11758*T1^6*T2^8 - 3028*T1^7*T2^8 + 
      672*T1^8*T2^8 + 3480*T1^9*T2^8 - 3266*T1^10*T2^8 - 3411*T1^11*T2^8 + 
      4190*T1^12*T2^8 - 1087*T1^13*T2^8 - 180*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 245*T1^2*T2^9 - 998*T1^3*T2^9 - 
      935*T1^4*T2^9 + 6918*T1^5*T2^9 - 6601*T1^6*T2^9 - 3648*T1^7*T2^9 + 
      3480*T1^8*T2^9 - 1084*T1^9*T2^9 - 2214*T1^10*T2^9 + 7616*T1^11*T2^9 - 
      4451*T1^12*T2^9 - 206*T1^13*T2^9 + 850*T1^14*T2^9 - 147*T1^15*T2^9 - 
      21*T1^16*T2^9 - 63*T1^2*T2^10 - 63*T1^3*T2^10 + 1369*T1^4*T2^10 - 
      2245*T1^5*T2^10 - 2092*T1^6*T2^10 + 7595*T1^7*T2^10 - 3266*T1^8*T2^10 - 
      2214*T1^9*T2^10 + 4462*T1^10*T2^10 - 6559*T1^11*T2^10 + 
      1226*T1^12*T2^10 + 2333*T1^13*T2^10 - 1319*T1^14*T2^10 + 
      63*T1^15*T2^10 + 63*T1^16*T2^10 + 72*T1^3*T2^11 - 217*T1^4*T2^11 - 
      529*T1^5*T2^11 + 2723*T1^6*T2^11 - 2436*T1^7*T2^11 - 3411*T1^8*T2^11 + 
      7616*T1^9*T2^11 - 6559*T1^10*T2^11 + 5013*T1^11*T2^11 + 
      873*T1^12*T2^11 - 2830*T1^13*T2^11 + 962*T1^14*T2^11 + 
      182*T1^15*T2^11 - 108*T1^16*T2^11 - 41*T1^4*T2^12 + 287*T1^5*T2^12 - 
      395*T1^6*T2^12 - 1187*T1^7*T2^12 + 4190*T1^8*T2^12 - 4451*T1^9*T2^12 + 
      1226*T1^10*T2^12 + 873*T1^11*T2^12 - 3866*T1^12*T2^12 + 
      2989*T1^13*T2^12 - 479*T1^14*T2^12 - 357*T1^15*T2^12 + 
      123*T1^16*T2^12 - 147*T1^6*T2^13 + 724*T1^7*T2^13 - 1087*T1^8*T2^13 - 
      206*T1^9*T2^13 + 2333*T1^10*T2^13 - 2830*T1^11*T2^13 + 
      2989*T1^12*T2^13 - 1207*T1^13*T2^13 - 368*T1^14*T2^13 + 
      462*T1^15*T2^13 - 108*T1^16*T2^13 + 21*T1^6*T2^14 - 49*T1^7*T2^14 - 
      180*T1^8*T2^14 + 850*T1^9*T2^14 - 1319*T1^10*T2^14 + 962*T1^11*T2^14 - 
      479*T1^12*T2^14 - 368*T1^13*T2^14 + 660*T1^14*T2^14 - 343*T1^15*T2^14 + 
      63*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 147*T1^9*T2^15 + 
      63*T1^10*T2^15 + 182*T1^11*T2^15 - 357*T1^12*T2^15 + 462*T1^13*T2^15 - 
      343*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 63*T1^10*T2^16 - 108*T1^11*T2^16 + 123*T1^12*T2^16 - 
      108*T1^13*T2^16 + 63*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 315] -> 
  {(1 - 6*T + 18*T^2 - 33*T^3 + 41*T^4 - 33*T^5 + 18*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 132*T1^3 - 164*T1^4 + 132*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 468*T1^3*T2 + 
     390*T1^4*T2 - 54*T1^5*T2 - 162*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 685*T1^2*T2^2 + 650*T1^3*T2^2 - 
     38*T1^4*T2^2 - 865*T1^5*T2^2 + 790*T1^6*T2^2 - 322*T1^7*T2^2 - 
     73*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 132*T2^3 - 468*T1*T2^3 + 
     650*T1^2*T2^3 + 215*T1^3*T2^3 - 1600*T1^4*T2^3 + 2412*T1^5*T2^3 - 
     531*T1^6*T2^3 - 745*T1^7*T2^3 + 989*T1^8*T2^3 - 376*T1^9*T2^3 + 
     18*T1^10*T2^3 + 33*T1^11*T2^3 - 164*T2^4 + 390*T1*T2^4 - 38*T1^2*T2^4 - 
     1600*T1^3*T2^4 + 2412*T1^4*T2^4 - 1105*T1^5*T2^4 - 3510*T1^6*T2^4 + 
     3575*T1^7*T2^4 - 1720*T1^8*T2^4 - 280*T1^9*T2^4 + 538*T1^10*T2^4 - 
     198*T1^11*T2^4 + 132*T2^5 - 54*T1*T2^5 - 865*T1^2*T2^5 + 
     2412*T1^3*T2^5 - 1105*T1^4*T2^5 - 2733*T1^5*T2^5 + 7507*T1^6*T2^5 - 
     2771*T1^7*T2^5 - 1515*T1^8*T2^5 + 2966*T1^9*T2^5 - 1269*T1^10*T2^5 - 
     T1^11*T2^5 + 198*T1^12*T2^5 - 33*T1^13*T2^5 - 72*T2^6 - 162*T1*T2^6 + 
     790*T1^2*T2^6 - 531*T1^3*T2^6 - 3510*T1^4*T2^6 + 7507*T1^5*T2^6 - 
     7509*T1^6*T2^6 - 3295*T1^7*T2^6 + 6891*T1^8*T2^6 - 4229*T1^9*T2^6 - 
     126*T1^10*T2^6 + 1305*T1^11*T2^6 - 542*T1^12*T2^6 - 18*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 322*T1^2*T2^7 - 745*T1^3*T2^7 + 
     3575*T1^4*T2^7 - 2771*T1^5*T2^7 - 3295*T1^6*T2^7 + 13129*T1^7*T2^7 - 
     8777*T1^8*T2^7 - 442*T1^9*T2^7 + 4591*T1^10*T2^7 - 2932*T1^11*T2^7 + 
     260*T1^12*T2^7 + 380*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 73*T1^2*T2^8 + 989*T1^3*T2^8 - 1720*T1^4*T2^8 - 
     1515*T1^5*T2^8 + 6891*T1^6*T2^8 - 8777*T1^7*T2^8 - 1596*T1^8*T2^8 + 
     9949*T1^9*T2^8 - 7059*T1^10*T2^8 + 1335*T1^11*T2^8 + 1740*T1^12*T2^8 - 
     985*T1^13*T2^8 + 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 376*T1^3*T2^9 - 280*T1^4*T2^9 + 
     2966*T1^5*T2^9 - 4229*T1^6*T2^9 - 442*T1^7*T2^9 + 9949*T1^8*T2^9 - 
     11957*T1^9*T2^9 + 2411*T1^10*T2^9 + 3133*T1^11*T2^9 - 3541*T1^12*T2^9 + 
     725*T1^13*T2^9 + 326*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 18*T1^3*T2^10 + 538*T1^4*T2^10 - 1269*T1^5*T2^10 - 
     126*T1^6*T2^10 + 4591*T1^7*T2^10 - 7059*T1^8*T2^10 + 2411*T1^9*T2^10 + 
     7341*T1^10*T2^10 - 7145*T1^11*T2^10 + 3258*T1^12*T2^10 + 
     567*T1^13*T2^10 - 794*T1^14*T2^10 + 162*T1^15*T2^10 + 72*T1^16*T2^10 + 
     33*T1^3*T2^11 - 198*T1^4*T2^11 - T1^5*T2^11 + 1305*T1^6*T2^11 - 
     2932*T1^7*T2^11 + 1335*T1^8*T2^11 + 3133*T1^9*T2^11 - 7145*T1^10*T2^11 + 
     2553*T1^11*T2^11 + 1139*T1^12*T2^11 - 2376*T1^13*T2^11 + 
     863*T1^14*T2^11 + 54*T1^15*T2^11 - 132*T1^16*T2^11 + 198*T1^5*T2^12 - 
     542*T1^6*T2^12 + 260*T1^7*T2^12 + 1740*T1^8*T2^12 - 3541*T1^9*T2^12 + 
     3258*T1^10*T2^12 + 1139*T1^11*T2^12 - 2392*T1^12*T2^12 + 
     1580*T1^13*T2^12 + 34*T1^14*T2^12 - 390*T1^15*T2^12 + 164*T1^16*T2^12 - 
     33*T1^5*T2^13 - 18*T1^6*T2^13 + 380*T1^7*T2^13 - 985*T1^8*T2^13 + 
     725*T1^9*T2^13 + 567*T1^10*T2^13 - 2376*T1^11*T2^13 + 1580*T1^12*T2^13 - 
     211*T1^13*T2^13 - 646*T1^14*T2^13 + 468*T1^15*T2^13 - 132*T1^16*T2^13 + 
     36*T1^6*T2^14 - 108*T1^7*T2^14 + 71*T1^8*T2^14 + 326*T1^9*T2^14 - 
     794*T1^10*T2^14 + 863*T1^11*T2^14 + 34*T1^12*T2^14 - 646*T1^13*T2^14 + 
     683*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 180*T1^9*T2^15 + 162*T1^10*T2^15 + 54*T1^11*T2^15 - 
     390*T1^12*T2^15 + 468*T1^13*T2^15 - 324*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
     132*T1^11*T2^16 + 164*T1^12*T2^16 - 132*T1^13*T2^16 + 72*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 316] -> 
  {((1 - 2*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 2*T^3 + T^4))/T^4, 
   (-4 + 20*T1 - 56*T1^2 + 100*T1^3 - 124*T1^4 + 100*T1^5 - 56*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 205*T1^2*T2 - 290*T1^3*T2 + 
     245*T1^4*T2 - 35*T1^5*T2 - 95*T1^6*T2 + 110*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 56*T2^2 + 205*T1*T2^2 - 439*T1^2*T2^2 + 493*T1^3*T2^2 - 
     256*T1^4*T2^2 - 225*T1^5*T2^2 + 220*T1^6*T2^2 - 67*T1^7*T2^2 - 
     75*T1^8*T2^2 + 65*T1^9*T2^2 - 28*T1^10*T2^2 + 100*T2^3 - 290*T1*T2^3 + 
     493*T1^2*T2^3 - 227*T1^3*T2^3 - 332*T1^4*T2^3 + 879*T1^5*T2^3 - 
     116*T1^6*T2^3 - 302*T1^7*T2^3 + 393*T1^8*T2^3 - 137*T1^9*T2^3 + 
     15*T1^10*T2^3 + 25*T1^11*T2^3 - 124*T2^4 + 245*T1*T2^4 - 256*T1^2*T2^4 - 
     332*T1^3*T2^4 + 661*T1^4*T2^4 - 413*T1^5*T2^4 - 1547*T1^6*T2^4 + 
     1357*T1^7*T2^4 - 619*T1^8*T2^4 - 182*T1^9*T2^4 + 230*T1^10*T2^4 - 
     125*T1^11*T2^4 + 100*T2^5 - 35*T1*T2^5 - 225*T1^2*T2^5 + 879*T1^3*T2^5 - 
     413*T1^4*T2^5 - 844*T1^5*T2^5 + 3007*T1^6*T2^5 - 833*T1^7*T2^5 - 
     684*T1^8*T2^5 + 1152*T1^9*T2^5 - 406*T1^10*T2^5 + 125*T1^12*T2^5 - 
     25*T1^13*T2^5 - 56*T2^6 - 95*T1*T2^6 + 220*T1^2*T2^6 - 116*T1^3*T2^6 - 
     1547*T1^4*T2^6 + 3007*T1^5*T2^6 - 3302*T1^6*T2^6 - 1398*T1^7*T2^6 + 
     2546*T1^8*T2^6 - 1453*T1^9*T2^6 - 159*T1^10*T2^6 + 444*T1^11*T2^6 - 
     236*T1^12*T2^6 - 15*T1^13*T2^6 + 28*T1^14*T2^6 + 20*T2^7 + 110*T1*T2^7 - 
     67*T1^2*T2^7 - 302*T1^3*T2^7 + 1357*T1^4*T2^7 - 833*T1^5*T2^7 - 
     1398*T1^6*T2^7 + 5554*T1^7*T2^7 - 3336*T1^8*T2^7 - 363*T1^9*T2^7 + 
     1767*T1^10*T2^7 - 1028*T1^11*T2^7 + 148*T1^12*T2^7 + 143*T1^13*T2^7 - 
     65*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 75*T1^2*T2^8 + 
     393*T1^3*T2^8 - 619*T1^4*T2^8 - 684*T1^5*T2^8 + 2546*T1^6*T2^8 - 
     3336*T1^7*T2^8 - 1056*T1^8*T2^8 + 4144*T1^9*T2^8 - 2572*T1^10*T2^8 + 
     416*T1^11*T2^8 + 605*T1^12*T2^8 - 377*T1^13*T2^8 + 71*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 65*T1^2*T2^9 - 
     137*T1^3*T2^9 - 182*T1^4*T2^9 + 1152*T1^5*T2^9 - 1453*T1^6*T2^9 - 
     363*T1^7*T2^9 + 4144*T1^8*T2^9 - 4746*T1^9*T2^9 + 672*T1^10*T2^9 + 
     1147*T1^11*T2^9 - 1233*T1^12*T2^9 + 268*T1^13*T2^9 + 73*T1^14*T2^9 - 
     110*T1^15*T2^9 - 20*T1^16*T2^9 - 28*T1^2*T2^10 + 15*T1^3*T2^10 + 
     230*T1^4*T2^10 - 406*T1^5*T2^10 - 159*T1^6*T2^10 + 1767*T1^7*T2^10 - 
     2572*T1^8*T2^10 + 672*T1^9*T2^10 + 3276*T1^10*T2^10 - 2693*T1^11*T2^10 + 
     1229*T1^12*T2^10 + 154*T1^13*T2^10 - 226*T1^14*T2^10 + 95*T1^15*T2^10 + 
     56*T1^16*T2^10 + 25*T1^3*T2^11 - 125*T1^4*T2^11 + 444*T1^6*T2^11 - 
     1028*T1^7*T2^11 + 416*T1^8*T2^11 + 1147*T1^9*T2^11 - 2693*T1^10*T2^11 + 
     576*T1^11*T2^11 + 537*T1^12*T2^11 - 841*T1^13*T2^11 + 225*T1^14*T2^11 + 
     35*T1^15*T2^11 - 100*T1^16*T2^11 + 125*T1^5*T2^12 - 236*T1^6*T2^12 + 
     148*T1^7*T2^12 + 605*T1^8*T2^12 - 1233*T1^9*T2^12 + 1229*T1^10*T2^12 + 
     537*T1^11*T2^12 - 675*T1^12*T2^12 + 298*T1^13*T2^12 + 250*T1^14*T2^12 - 
     245*T1^15*T2^12 + 124*T1^16*T2^12 - 25*T1^5*T2^13 - 15*T1^6*T2^13 + 
     143*T1^7*T2^13 - 377*T1^8*T2^13 + 268*T1^9*T2^13 + 154*T1^10*T2^13 - 
     841*T1^11*T2^13 + 298*T1^12*T2^13 + 243*T1^13*T2^13 - 487*T1^14*T2^13 + 
     290*T1^15*T2^13 - 100*T1^16*T2^13 + 28*T1^6*T2^14 - 65*T1^7*T2^14 + 
     71*T1^8*T2^14 + 73*T1^9*T2^14 - 226*T1^10*T2^14 + 225*T1^11*T2^14 + 
     250*T1^12*T2^14 - 487*T1^13*T2^14 + 435*T1^14*T2^14 - 205*T1^15*T2^14 + 
     56*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 110*T1^9*T2^15 + 
     95*T1^10*T2^15 + 35*T1^11*T2^15 - 245*T1^12*T2^15 + 290*T1^13*T2^15 - 
     205*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 
     20*T1^9*T2^16 + 56*T1^10*T2^16 - 100*T1^11*T2^16 + 124*T1^12*T2^16 - 
     100*T1^13*T2^16 + 56*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 317] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-78 + 365*T1 - 731*T1^2 + 912*T1^3 - 731*T1^4 + 365*T1^5 - 78*T1^6 + 
      365*T2 - 1468*T1*T2 + 2300*T1^2*T2 - 2025*T1^3*T2 + 621*T1^4*T2 + 
      536*T1^5*T2 - 754*T1^6*T2 + 239*T1^7*T2 - 731*T2^2 + 2300*T1*T2^2 - 
      1827*T1^2*T2^2 - 960*T1^3*T2^2 + 4237*T1^4*T2^2 - 4488*T1^5*T2^2 + 
      2373*T1^6*T2^2 - 52*T1^7*T2^2 - 227*T1^8*T2^2 + 912*T2^3 - 
      2025*T1*T2^3 - 960*T1^2*T2^3 + 5697*T1^3*T2^3 - 7755*T1^4*T2^3 + 
      3711*T1^5*T2^3 + 1203*T1^6*T2^3 - 3116*T1^7*T2^3 + 1209*T1^8*T2^3 - 
      33*T1^9*T2^3 - 731*T2^4 + 621*T1*T2^4 + 4237*T1^2*T2^4 - 
      7755*T1^3*T2^4 + 4276*T1^4*T2^4 + 4332*T1^5*T2^4 - 7904*T1^6*T2^4 + 
      4985*T1^7*T2^4 - 75*T1^8*T2^4 - 1143*T1^9*T2^4 + 277*T1^10*T2^4 + 
      365*T2^5 + 536*T1*T2^5 - 4488*T1^2*T2^5 + 3711*T1^3*T2^5 + 
      4332*T1^4*T2^5 - 10004*T1^5*T2^5 + 5914*T1^6*T2^5 + 1980*T1^7*T2^5 - 
      5207*T1^8*T2^5 + 3156*T1^9*T2^5 - 52*T1^10*T2^5 - 265*T1^11*T2^5 - 
      78*T2^6 - 754*T1*T2^6 + 2373*T1^2*T2^6 + 1203*T1^3*T2^6 - 
      7904*T1^4*T2^6 + 5914*T1^5*T2^6 + 2532*T1^6*T2^6 - 8170*T1^7*T2^6 + 
      5368*T1^8*T2^6 - 687*T1^9*T2^6 - 2387*T1^10*T2^6 + 842*T1^11*T2^6 + 
      84*T1^12*T2^6 + 239*T1*T2^7 - 52*T1^2*T2^7 - 3116*T1^3*T2^7 + 
      4985*T1^4*T2^7 + 1980*T1^5*T2^7 - 8170*T1^6*T2^7 + 7748*T1^7*T2^7 - 
      372*T1^8*T2^7 - 3933*T1^9*T2^7 + 4528*T1^10*T2^7 - 640*T1^11*T2^7 - 
      391*T1^12*T2^7 - 227*T1^2*T2^8 + 1209*T1^3*T2^8 - 75*T1^4*T2^8 - 
      5207*T1^5*T2^8 + 5368*T1^6*T2^8 - 372*T1^7*T2^8 - 6812*T1^8*T2^8 + 
      7533*T1^9*T2^8 - 4387*T1^10*T2^8 - 555*T1^11*T2^8 + 781*T1^12*T2^8 - 
      33*T1^3*T2^9 - 1143*T1^4*T2^9 + 3156*T1^5*T2^9 - 687*T1^6*T2^9 - 
      3933*T1^7*T2^9 + 7533*T1^8*T2^9 - 5181*T1^9*T2^9 + 1000*T1^10*T2^9 + 
      2091*T1^11*T2^9 - 978*T1^12*T2^9 + 277*T1^4*T2^10 - 52*T1^5*T2^10 - 
      2387*T1^6*T2^10 + 4528*T1^7*T2^10 - 4387*T1^8*T2^10 + 1000*T1^9*T2^10 + 
      1813*T1^10*T2^10 - 2404*T1^11*T2^10 + 781*T1^12*T2^10 - 
      265*T1^5*T2^11 + 842*T1^6*T2^11 - 640*T1^7*T2^11 - 555*T1^8*T2^11 + 
      2091*T1^9*T2^11 - 2404*T1^10*T2^11 + 1556*T1^11*T2^11 - 
      391*T1^12*T2^11 + 84*T1^6*T2^12 - 391*T1^7*T2^12 + 781*T1^8*T2^12 - 
      978*T1^9*T2^12 + 781*T1^10*T2^12 - 391*T1^11*T2^12 + 84*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 318] -> 
  {((1 - T + T^2)*(5 - 11*T + 13*T^2 - 11*T^3 + 5*T^4))/T^3, 
   -((770 - 2425*T1 + 4368*T1^2 - 5264*T1^3 + 4368*T1^4 - 2425*T1^5 + 
      770*T1^6 - 2425*T2 + 5642*T1*T2 - 7449*T1^2*T2 + 5168*T1^3*T2 + 
      48*T1^4*T2 - 3849*T1^5*T2 + 3962*T1^6*T2 - 2025*T1^7*T2 + 4368*T2^2 - 
      7449*T1*T2^2 + 7491*T1^2*T2^2 - 2315*T1^3*T2^2 - 3139*T1^4*T2^2 + 
      3195*T1^5*T2^2 + 531*T1^6*T2^2 - 2809*T1^7*T2^2 + 2918*T1^8*T2^2 - 
      5264*T2^3 + 5168*T1*T2^3 - 2315*T1^2*T2^3 - 3971*T1^3*T2^3 + 
      5621*T1^4*T2^3 - 450*T1^5*T2^3 - 4091*T1^6*T2^3 + 3166*T1^7*T2^3 - 
      912*T1^8*T2^3 - 2639*T1^9*T2^3 + 4368*T2^4 + 48*T1*T2^4 - 
      3139*T1^2*T2^4 + 5621*T1^3*T2^4 - 363*T1^4*T2^4 - 7117*T1^5*T2^4 + 
      6997*T1^6*T2^4 - 959*T1^7*T2^4 - 2039*T1^8*T2^4 + 3728*T1^9*T2^4 + 
      1468*T1^10*T2^4 - 2425*T2^5 - 3849*T1*T2^5 + 3195*T1^2*T2^5 - 
      450*T1^3*T2^5 - 7117*T1^4*T2^5 + 9135*T1^5*T2^5 - 1585*T1^6*T2^5 - 
      5522*T1^7*T2^5 + 4603*T1^8*T2^5 - 2402*T1^9*T2^5 - 3289*T1^10*T2^5 - 
      425*T1^11*T2^5 + 770*T2^6 + 3962*T1*T2^6 + 531*T1^2*T2^6 - 
      4091*T1^3*T2^6 + 6997*T1^4*T2^6 - 1585*T1^5*T2^6 - 7248*T1^6*T2^6 + 
      8197*T1^7*T2^6 - 1881*T1^8*T2^6 - 1625*T1^9*T2^6 + 4155*T1^10*T2^6 + 
      1242*T1^11*T2^6 + 20*T1^12*T2^6 - 2025*T1*T2^7 - 2809*T1^2*T2^7 + 
      3166*T1^3*T2^7 - 959*T1^4*T2^7 - 5522*T1^5*T2^7 + 8197*T1^6*T2^7 - 
      2523*T1^7*T2^7 - 3927*T1^8*T2^7 + 4094*T1^9*T2^7 - 2431*T1^10*T2^7 - 
      2249*T1^11*T2^7 - 25*T1^12*T2^7 + 2918*T1^2*T2^8 - 912*T1^3*T2^8 - 
      2039*T1^4*T2^8 + 4603*T1^5*T2^8 - 1881*T1^6*T2^8 - 3927*T1^7*T2^8 + 
      5479*T1^8*T2^8 - 1977*T1^9*T2^8 - 939*T1^10*T2^8 + 2768*T1^11*T2^8 + 
      18*T1^12*T2^8 - 2639*T1^3*T2^9 + 3728*T1^4*T2^9 - 2402*T1^5*T2^9 - 
      1625*T1^6*T2^9 + 4094*T1^7*T2^9 - 1977*T1^8*T2^9 - 1745*T1^9*T2^9 + 
      3079*T1^10*T2^9 - 2352*T1^11*T2^9 - 14*T1^12*T2^9 + 1468*T1^4*T2^10 - 
      3289*T1^5*T2^10 + 4155*T1^6*T2^10 - 2431*T1^7*T2^10 - 939*T1^8*T2^10 + 
      3079*T1^9*T2^10 - 2805*T1^10*T2^10 + 1351*T1^11*T2^10 + 
      18*T1^12*T2^10 - 425*T1^5*T2^11 + 1242*T1^6*T2^11 - 2249*T1^7*T2^11 + 
      2768*T1^8*T2^11 - 2352*T1^9*T2^11 + 1351*T1^10*T2^11 - 
      438*T1^11*T2^11 - 25*T1^12*T2^11 + 20*T1^6*T2^12 - 25*T1^7*T2^12 + 
      18*T1^8*T2^12 - 14*T1^9*T2^12 + 18*T1^10*T2^12 - 25*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 319] -> 
  {(5 - 15*T + 25*T^2 - 29*T^3 + 25*T^4 - 15*T^5 + 5*T^6)/T^3, 
   -((770 - 2280*T1 + 3777*T1^2 - 4372*T1^3 + 3777*T1^4 - 2280*T1^5 + 
      770*T1^6 - 2280*T2 + 4871*T1*T2 - 5598*T1^2*T2 + 3658*T1^3*T2 - 
      392*T1^4*T2 - 2598*T1^5*T2 + 3371*T1^6*T2 - 1905*T1^7*T2 + 3777*T2^2 - 
      5598*T1*T2^2 + 4229*T1^2*T2^2 - 757*T1^3*T2^2 - 1861*T1^4*T2^2 + 
      2743*T1^5*T2^2 - 771*T1^6*T2^2 - 1848*T1^7*T2^2 + 2527*T1^8*T2^2 - 
      4372*T2^3 + 3658*T1*T2^3 - 757*T1^2*T2^3 - 2004*T1^3*T2^3 + 
      2021*T1^4*T2^3 - 829*T1^5*T2^3 - 1794*T1^6*T2^3 + 2618*T1^7*T2^3 - 
      992*T1^8*T2^3 - 2197*T1^9*T2^3 + 3777*T2^4 - 392*T1*T2^4 - 
      1861*T1^2*T2^4 + 2021*T1^3*T2^4 + 356*T1^4*T2^4 - 1606*T1^5*T2^4 + 
      2536*T1^6*T2^4 - 879*T1^7*T2^4 - 1311*T1^8*T2^4 + 2758*T1^9*T2^4 + 
      1277*T1^10*T2^4 - 2280*T2^5 - 2598*T1*T2^5 + 2743*T1^2*T2^5 - 
      829*T1^3*T2^5 - 1606*T1^4*T2^5 + 1165*T1^5*T2^5 - 485*T1^6*T2^5 - 
      1481*T1^7*T2^5 + 1921*T1^8*T2^5 - 1132*T1^9*T2^5 - 2598*T1^10*T2^5 - 
      405*T1^11*T2^5 + 770*T2^6 + 3371*T1*T2^6 - 771*T1^2*T2^6 - 
      1794*T1^3*T2^6 + 2536*T1^4*T2^6 - 485*T1^5*T2^6 - 480*T1^6*T2^6 + 
      1265*T1^7*T2^6 - 114*T1^8*T2^6 - 1194*T1^9*T2^6 + 2729*T1^10*T2^6 + 
      1121*T1^11*T2^6 + 20*T1^12*T2^6 - 1905*T1*T2^7 - 1848*T1^2*T2^7 + 
      2618*T1^3*T2^7 - 879*T1^4*T2^7 - 1481*T1^5*T2^7 + 1265*T1^6*T2^7 - 
      385*T1^7*T2^7 - 1356*T1^8*T2^7 + 1871*T1^9*T2^7 - 1257*T1^10*T2^7 - 
      1848*T1^11*T2^7 - 30*T1^12*T2^7 + 2527*T1^2*T2^8 - 992*T1^3*T2^8 - 
      1311*T1^4*T2^8 + 1921*T1^5*T2^8 - 114*T1^6*T2^8 - 1356*T1^7*T2^8 + 
      2066*T1^8*T2^8 - 979*T1^9*T2^8 - 761*T1^10*T2^8 + 2158*T1^11*T2^8 + 
      27*T1^12*T2^8 - 2197*T1^3*T2^9 + 2758*T1^4*T2^9 - 1132*T1^5*T2^9 - 
      1194*T1^6*T2^9 + 1871*T1^7*T2^9 - 979*T1^8*T2^9 - 984*T1^9*T2^9 + 
      2243*T1^10*T2^9 - 1892*T1^11*T2^9 - 22*T1^12*T2^9 + 1277*T1^4*T2^10 - 
      2598*T1^5*T2^10 + 2729*T1^6*T2^10 - 1257*T1^7*T2^10 - 761*T1^8*T2^10 + 
      2243*T1^9*T2^10 - 2271*T1^10*T2^10 + 1152*T1^11*T2^10 + 
      27*T1^12*T2^10 - 405*T1^5*T2^11 + 1121*T1^6*T2^11 - 1848*T1^7*T2^11 + 
      2158*T1^8*T2^11 - 1892*T1^9*T2^11 + 1152*T1^10*T2^11 - 
      379*T1^11*T2^11 - 30*T1^12*T2^11 + 20*T1^6*T2^12 - 30*T1^7*T2^12 + 
      27*T1^8*T2^12 - 22*T1^9*T2^12 + 27*T1^10*T2^12 - 30*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 320] -> {(9 - 27*T + 37*T^2 - 27*T^3 + 9*T^4)/T^2, 
   -((3186 - 9432*T1 + 12880*T1^2 - 9432*T1^3 + 3186*T1^4 - 9432*T2 + 
      20751*T1*T2 - 16826*T1^2*T2 - 1274*T1^3*T2 + 12003*T1^4*T2 - 
      7245*T1^5*T2 + 12880*T2^2 - 16826*T1*T2^2 - 4737*T1^2*T2^2 + 
      28971*T1^3*T2^2 - 23385*T1^4*T2^2 + 1156*T1^5*T2^2 + 6886*T1^6*T2^2 - 
      9432*T2^3 - 1274*T1*T2^3 + 28971*T1^2*T2^3 - 34230*T1^3*T2^3 + 
      3462*T1^4*T2^3 + 19980*T1^5*T2^3 - 11966*T1^6*T2^3 - 2871*T1^7*T2^3 + 
      3186*T2^4 + 12003*T1*T2^4 - 23385*T1^2*T2^4 + 3462*T1^3*T2^4 + 
      28728*T1^4*T2^4 - 28614*T1^5*T2^4 + 3993*T1^6*T2^4 + 7629*T1^7*T2^4 + 
      270*T1^8*T2^4 - 7245*T1*T2^5 + 1156*T1^2*T2^5 + 19980*T1^3*T2^5 - 
      28614*T1^4*T2^5 + 9078*T1^5*T2^5 + 10989*T1^6*T2^5 - 9536*T1^7*T2^5 - 
      684*T1^8*T2^5 + 6886*T1^2*T2^6 - 11966*T1^3*T2^6 + 3993*T1^4*T2^6 + 
      10989*T1^5*T2^6 - 14655*T1^6*T2^6 + 6016*T1^7*T2^6 + 892*T1^8*T2^6 - 
      2871*T1^3*T2^7 + 7629*T1^4*T2^7 - 9536*T1^5*T2^7 + 6016*T1^6*T2^7 - 
      1119*T1^7*T2^7 - 684*T1^8*T2^7 + 270*T1^4*T2^8 - 684*T1^5*T2^8 + 
      892*T1^6*T2^8 - 684*T1^7*T2^8 + 270*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 321] -> 
  {-((3 - 15*T + 27*T^2 - 31*T^3 + 27*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-24 + 123*T1 - 233*T1^2 + 274*T1^3 - 233*T1^4 + 123*T1^5 - 24*T1^6 + 
      123*T2 - 635*T1*T2 + 1212*T1^2*T2 - 1408*T1^3*T2 + 1202*T1^4*T2 - 
      678*T1^5*T2 + 175*T1^6*T2 - 12*T1^7*T2 - 233*T2^2 + 1212*T1*T2^2 - 
      2064*T1^2*T2^2 + 1449*T1^3*T2^2 - 140*T1^4*T2^2 - 1143*T1^5*T2^2 + 
      1824*T1^6*T2^2 - 1218*T1^7*T2^2 + 253*T1^8*T2^2 + 274*T2^3 - 
      1408*T1*T2^3 + 1449*T1^2*T2^3 + 2298*T1^3*T2^3 - 5423*T1^4*T2^3 + 
      6349*T1^5*T2^3 - 5226*T1^6*T2^3 + 1206*T1^7*T2^3 + 1562*T1^8*T2^3 - 
      563*T1^9*T2^3 - 233*T2^4 + 1202*T1*T2^4 - 140*T1^2*T2^4 - 
      5423*T1^3*T2^4 + 5430*T1^4*T2^4 - 2148*T1^5*T2^4 - 1674*T1^6*T2^4 + 
      6853*T1^7*T2^4 - 5342*T1^8*T2^4 - 868*T1^9*T2^4 + 739*T1^10*T2^4 + 
      123*T2^5 - 678*T1*T2^5 - 1143*T1^2*T2^5 + 6349*T1^3*T2^5 - 
      2148*T1^4*T2^5 - 655*T1^5*T2^5 + 911*T1^6*T2^5 - 2067*T1^7*T2^5 - 
      4415*T1^8*T2^5 + 8496*T1^9*T2^5 - 948*T1^10*T2^5 - 552*T1^11*T2^5 - 
      24*T2^6 + 175*T1*T2^6 + 1824*T1^2*T2^6 - 5226*T1^3*T2^6 - 
      1674*T1^4*T2^6 + 911*T1^5*T2^6 + 1884*T1^6*T2^6 - 1627*T1^7*T2^6 + 
      6876*T1^8*T2^6 - 4470*T1^9*T2^6 - 5844*T1^10*T2^6 + 2065*T1^11*T2^6 + 
      138*T1^12*T2^6 - 12*T1*T2^7 - 1218*T1^2*T2^7 + 1206*T1^3*T2^7 + 
      6853*T1^4*T2^7 - 2067*T1^5*T2^7 - 1627*T1^6*T2^7 - 61*T1^7*T2^7 - 
      1986*T1^8*T2^7 - 3911*T1^9*T2^7 + 10845*T1^10*T2^7 - 1488*T1^11*T2^7 - 
      687*T1^12*T2^7 + 253*T1^2*T2^8 + 1562*T1^3*T2^8 - 5342*T1^4*T2^8 - 
      4415*T1^5*T2^8 + 6876*T1^6*T2^8 - 1986*T1^7*T2^8 - 228*T1^8*T2^8 + 
      7861*T1^9*T2^8 - 10544*T1^10*T2^8 - 508*T1^11*T2^8 + 1225*T1^12*T2^8 - 
      563*T1^3*T2^9 - 868*T1^4*T2^9 + 8496*T1^5*T2^9 - 4470*T1^6*T2^9 - 
      3911*T1^7*T2^9 + 7861*T1^8*T2^9 - 11994*T1^9*T2^9 + 8253*T1^10*T2^9 + 
      2102*T1^11*T2^9 - 1400*T1^12*T2^9 + 739*T1^4*T2^10 - 948*T1^5*T2^10 - 
      5844*T1^6*T2^10 + 10845*T1^7*T2^10 - 10544*T1^8*T2^10 + 
      8253*T1^9*T2^10 - 1956*T1^10*T2^10 - 3378*T1^11*T2^10 + 
      1225*T1^12*T2^10 - 552*T1^5*T2^11 + 2065*T1^6*T2^11 - 1488*T1^7*T2^11 - 
      508*T1^8*T2^11 + 2102*T1^9*T2^11 - 3378*T1^10*T2^11 + 
      2875*T1^11*T2^11 - 687*T1^12*T2^11 + 138*T1^6*T2^12 - 687*T1^7*T2^12 + 
      1225*T1^8*T2^12 - 1400*T1^9*T2^12 + 1225*T1^10*T2^12 - 
      687*T1^11*T2^12 + 138*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 322] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 99*T1 - 276*T1^2 + 377*T1^3 - 276*T1^4 + 99*T1^5 - 15*T1^6 + 
     99*T2 - 606*T1*T2 + 1505*T1^2*T2 - 1601*T1^3*T2 + 609*T1^4*T2 + 
     231*T1^5*T2 - 216*T1^6*T2 + 47*T1^7*T2 - 276*T2^2 + 1505*T1*T2^2 - 
     2939*T1^2*T2^2 + 876*T1^3*T2^2 + 3255*T1^4*T2^2 - 4308*T1^5*T2^2 + 
     1957*T1^6*T2^2 - 367*T1^7*T2^2 + 12*T1^8*T2^2 + 377*T2^3 - 
     1601*T1*T2^3 + 876*T1^2*T2^3 + 7484*T1^3*T2^3 - 14925*T1^4*T2^3 + 
     10449*T1^5*T2^3 - 454*T1^6*T2^3 - 2688*T1^7*T2^3 + 1285*T1^8*T2^3 - 
     211*T1^9*T2^3 - 276*T2^4 + 609*T1*T2^4 + 3255*T1^2*T2^4 - 
     14925*T1^3*T2^4 + 16573*T1^4*T2^4 + 2881*T1^5*T2^4 - 19499*T1^6*T2^4 + 
     14279*T1^7*T2^4 - 2939*T1^8*T2^4 - 587*T1^9*T2^4 + 300*T1^10*T2^4 + 
     99*T2^5 + 231*T1*T2^5 - 4308*T1^2*T2^5 + 10449*T1^3*T2^5 + 
     2881*T1^4*T2^5 - 37322*T1^5*T2^5 + 45772*T1^6*T2^5 - 16631*T1^7*T2^5 - 
     7265*T1^8*T2^5 + 5736*T1^9*T2^5 - 887*T1^10*T2^5 - 161*T1^11*T2^5 - 
     15*T2^6 - 216*T1*T2^6 + 1957*T1^2*T2^6 - 454*T1^3*T2^6 - 
     19499*T1^4*T2^6 + 45772*T1^5*T2^6 - 23928*T1^6*T2^6 - 24868*T1^7*T2^6 + 
     36369*T1^8*T2^6 - 10990*T1^9*T2^6 - 783*T1^10*T2^6 + 824*T1^11*T2^6 + 
     33*T1^12*T2^6 + 47*T1*T2^7 - 367*T1^2*T2^7 - 2688*T1^3*T2^7 + 
     14279*T1^4*T2^7 - 16631*T1^5*T2^7 - 24868*T1^6*T2^7 + 58226*T1^7*T2^7 - 
     36143*T1^8*T2^7 - 3435*T1^9*T2^7 + 7356*T1^10*T2^7 - 1485*T1^11*T2^7 - 
     213*T1^12*T2^7 + 12*T1^2*T2^8 + 1285*T1^3*T2^8 - 2939*T1^4*T2^8 - 
     7265*T1^5*T2^8 + 36369*T1^6*T2^8 - 36143*T1^7*T2^8 + 297*T1^8*T2^8 + 
     21939*T1^9*T2^8 - 9133*T1^10*T2^8 + 89*T1^11*T2^8 + 588*T1^12*T2^8 - 
     211*T1^3*T2^9 - 587*T1^4*T2^9 + 5736*T1^5*T2^9 - 10990*T1^6*T2^9 - 
     3435*T1^7*T2^9 + 21939*T1^8*T2^9 - 18928*T1^9*T2^9 + 2172*T1^10*T2^9 + 
     2299*T1^11*T2^9 - 799*T1^12*T2^9 + 300*T1^4*T2^10 - 887*T1^5*T2^10 - 
     783*T1^6*T2^10 + 7356*T1^7*T2^10 - 9133*T1^8*T2^10 + 2172*T1^9*T2^10 + 
     4113*T1^10*T2^10 - 2759*T1^11*T2^10 + 588*T1^12*T2^10 - 161*T1^5*T2^11 + 
     824*T1^6*T2^11 - 1485*T1^7*T2^11 + 89*T1^8*T2^11 + 2299*T1^9*T2^11 - 
     2759*T1^10*T2^11 + 1214*T1^11*T2^11 - 213*T1^12*T2^11 + 33*T1^6*T2^12 - 
     213*T1^7*T2^12 + 588*T1^8*T2^12 - 799*T1^9*T2^12 + 588*T1^10*T2^12 - 
     213*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 323] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-17 + 77*T1 - 164*T1^2 + 199*T1^3 - 164*T1^4 + 77*T1^5 - 17*T1^6 + 
     77*T2 - 308*T1*T2 + 557*T1^2*T2 - 501*T1^3*T2 + 255*T1^4*T2 + 
     53*T1^5*T2 - 110*T1^6*T2 + 41*T1^7*T2 - 164*T2^2 + 557*T1*T2^2 - 
     761*T1^2*T2^2 + 193*T1^3*T2^2 + 431*T1^4*T2^2 - 871*T1^5*T2^2 + 
     531*T1^6*T2^2 - 127*T1^7*T2^2 - 12*T1^8*T2^2 + 199*T2^3 - 501*T1*T2^3 + 
     193*T1^2*T2^3 + 1157*T1^3*T2^3 - 1741*T1^4*T2^3 + 1577*T1^5*T2^3 - 
     181*T1^6*T2^3 - 548*T1^7*T2^3 + 399*T1^8*T2^3 - 77*T1^9*T2^3 - 
     164*T2^4 + 255*T1*T2^4 + 431*T1^2*T2^4 - 1741*T1^3*T2^4 + 
     1242*T1^4*T2^4 + 44*T1^5*T2^4 - 1970*T1^6*T2^4 + 1801*T1^7*T2^4 - 
     407*T1^8*T2^4 - 285*T1^9*T2^4 + 140*T1^10*T2^4 + 77*T2^5 + 53*T1*T2^5 - 
     871*T1^2*T2^5 + 1577*T1^3*T2^5 + 44*T1^4*T2^5 - 1946*T1^5*T2^5 + 
     3034*T1^6*T2^5 - 1077*T1^7*T2^5 - 1293*T1^8*T2^5 + 1162*T1^9*T2^5 - 
     163*T1^10*T2^5 - 103*T1^11*T2^5 - 17*T2^6 - 110*T1*T2^6 + 
     531*T1^2*T2^6 - 181*T1^3*T2^6 - 1970*T1^4*T2^6 + 3034*T1^5*T2^6 - 
     1524*T1^6*T2^6 - 1782*T1^7*T2^6 + 3308*T1^8*T2^6 - 1075*T1^9*T2^6 - 
     485*T1^10*T2^6 + 322*T1^11*T2^6 + 31*T1^12*T2^6 + 41*T1*T2^7 - 
     127*T1^2*T2^7 - 548*T1^3*T2^7 + 1801*T1^4*T2^7 - 1077*T1^5*T2^7 - 
     1782*T1^6*T2^7 + 3198*T1^7*T2^7 - 2198*T1^8*T2^7 - 1069*T1^9*T2^7 + 
     1485*T1^10*T2^7 - 343*T1^11*T2^7 - 139*T1^12*T2^7 - 12*T1^2*T2^8 + 
     399*T1^3*T2^8 - 407*T1^4*T2^8 - 1293*T1^5*T2^8 + 3308*T1^6*T2^8 - 
     2198*T1^7*T2^8 + 96*T1^8*T2^8 + 2249*T1^9*T2^8 - 1245*T1^10*T2^8 - 
     141*T1^11*T2^8 + 292*T1^12*T2^8 - 77*T1^3*T2^9 - 285*T1^4*T2^9 + 
     1162*T1^5*T2^9 - 1075*T1^6*T2^9 - 1069*T1^7*T2^9 + 2249*T1^8*T2^9 - 
     2413*T1^9*T2^9 + 421*T1^10*T2^9 + 615*T1^11*T2^9 - 353*T1^12*T2^9 + 
     140*T1^4*T2^10 - 163*T1^5*T2^10 - 485*T1^6*T2^10 + 1485*T1^7*T2^10 - 
     1245*T1^8*T2^10 + 421*T1^9*T2^10 + 807*T1^10*T2^10 - 847*T1^11*T2^10 + 
     292*T1^12*T2^10 - 103*T1^5*T2^11 + 322*T1^6*T2^11 - 343*T1^7*T2^11 - 
     141*T1^8*T2^11 + 615*T1^9*T2^11 - 847*T1^10*T2^11 + 520*T1^11*T2^11 - 
     139*T1^12*T2^11 + 31*T1^6*T2^12 - 139*T1^7*T2^12 + 292*T1^8*T2^12 - 
     353*T1^9*T2^12 + 292*T1^10*T2^12 - 139*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, Alternating, 324] -> 
  {-((5 - 25*T + 39*T^2 - 25*T^3 + 5*T^4)/T^2), 
   -((-85 + 430*T1 - 681*T1^2 + 430*T1^3 - 85*T1^4 + 430*T2 - 2369*T1*T2 + 
      4389*T1^2*T2 - 3611*T1^3*T2 + 1381*T1^4*T2 - 195*T1^5*T2 - 681*T2^2 + 
      4389*T1*T2^2 - 8547*T1^2*T2^2 + 3667*T1^3*T2^2 + 4713*T1^4*T2^2 - 
      5361*T1^5*T2^2 + 1269*T1^6*T2^2 + 430*T2^3 - 3611*T1*T2^3 + 
      3667*T1^2*T2^3 + 17562*T1^3*T2^3 - 33588*T1^4*T2^3 + 18292*T1^5*T2^3 + 
      889*T1^6*T2^3 - 1445*T1^7*T2^3 - 85*T2^4 + 1381*T1*T2^4 + 
      4713*T1^2*T2^4 - 33588*T1^3*T2^4 + 34080*T1^4*T2^4 + 6412*T1^5*T2^4 - 
      22637*T1^6*T2^4 + 5131*T1^7*T2^4 + 415*T1^8*T2^4 - 195*T1*T2^5 - 
      5361*T1^2*T2^5 + 18292*T1^3*T2^5 + 6412*T1^4*T2^5 - 44738*T1^5*T2^5 + 
      32917*T1^6*T2^5 - 861*T1^7*T2^5 - 2070*T1^8*T2^5 + 1269*T1^2*T2^6 + 
      889*T1^3*T2^6 - 22637*T1^4*T2^6 + 32917*T1^5*T2^6 - 9377*T1^6*T2^6 - 
      8861*T1^7*T2^6 + 3219*T1^8*T2^6 - 1445*T1^3*T2^7 + 5131*T1^4*T2^7 - 
      861*T1^5*T2^7 - 8861*T1^6*T2^7 + 8881*T1^7*T2^7 - 2070*T1^8*T2^7 + 
      415*T1^4*T2^8 - 2070*T1^5*T2^8 + 3219*T1^6*T2^8 - 2070*T1^7*T2^8 + 
      415*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 325] -> {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((-219 + 906*T1 - 1341*T1^2 + 906*T1^3 - 219*T1^4 + 906*T2 - 3700*T1*T2 + 
      5240*T1^2*T2 - 3256*T1^3*T2 + 620*T1^4*T2 + 42*T1^5*T2 - 1341*T2^2 + 
      5240*T1*T2^2 - 5322*T1^2*T2^2 - 1666*T1^3*T2^2 + 6858*T1^4*T2^2 - 
      4840*T1^5*T2^2 + 1179*T1^6*T2^2 + 906*T2^3 - 3256*T1*T2^3 - 
      1666*T1^2*T2^3 + 16224*T1^3*T2^3 - 20376*T1^4*T2^3 + 8414*T1^5*T2^3 + 
      2072*T1^6*T2^3 - 1686*T1^7*T2^3 - 219*T2^4 + 620*T1*T2^4 + 
      6858*T1^2*T2^4 - 20376*T1^3*T2^4 + 12624*T1^4*T2^4 + 9576*T1^5*T2^4 - 
      15750*T1^6*T2^4 + 4076*T1^7*T2^4 + 645*T1^8*T2^4 + 42*T1*T2^5 - 
      4840*T1^2*T2^5 + 8414*T1^3*T2^5 + 9576*T1^4*T2^5 - 27024*T1^5*T2^5 + 
      18494*T1^6*T2^5 + 488*T1^7*T2^5 - 2550*T1^8*T2^5 + 1179*T1^2*T2^6 + 
      2072*T1^3*T2^6 - 15750*T1^4*T2^6 + 18494*T1^5*T2^6 - 3570*T1^6*T2^6 - 
      8008*T1^7*T2^6 + 3699*T1^8*T2^6 - 1686*T1^3*T2^7 + 4076*T1^4*T2^7 + 
      488*T1^5*T2^7 - 8008*T1^6*T2^7 + 8396*T1^7*T2^7 - 2550*T1^8*T2^7 + 
      645*T1^4*T2^8 - 2550*T1^5*T2^8 + 3699*T1^6*T2^8 - 2550*T1^7*T2^8 + 
      645*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 326] -> {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)^2/T^4, 
   (-4 + 24*T1 - 76*T1^2 + 144*T1^3 - 180*T1^4 + 144*T1^5 - 76*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 348*T1^2*T2 - 522*T1^3*T2 + 
     432*T1^4*T2 - 54*T1^5*T2 - 192*T1^6*T2 + 198*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 76*T2^2 + 348*T1*T2^2 - 836*T1^2*T2^2 + 915*T1^3*T2^2 - 
     257*T1^4*T2^2 - 756*T1^5*T2^2 + 731*T1^6*T2^2 - 225*T1^7*T2^2 - 
     152*T1^8*T2^2 + 120*T1^9*T2^2 - 38*T1^10*T2^2 + 144*T2^3 - 522*T1*T2^3 + 
     915*T1^2*T2^3 - 2*T1^3*T2^3 - 1748*T1^4*T2^3 + 2711*T1^5*T2^3 - 
     583*T1^6*T2^3 - 986*T1^7*T2^3 + 1144*T1^8*T2^3 - 339*T1^9*T2^3 + 
     12*T1^10*T2^3 + 36*T1^11*T2^3 - 180*T2^4 + 432*T1*T2^4 - 257*T1^2*T2^4 - 
     1748*T1^3*T2^4 + 2762*T1^4*T2^4 - 582*T1^5*T2^4 - 5198*T1^6*T2^4 + 
     5250*T1^7*T2^4 - 2278*T1^8*T2^4 - 452*T1^9*T2^4 + 571*T1^10*T2^4 - 
     216*T1^11*T2^4 + 144*T2^5 - 54*T1*T2^5 - 756*T1^2*T2^5 + 
     2711*T1^3*T2^5 - 582*T1^4*T2^5 - 5432*T1^5*T2^5 + 11072*T1^6*T2^5 - 
     4282*T1^7*T2^5 - 2462*T1^8*T2^5 + 4188*T1^9*T2^5 - 1411*T1^10*T2^5 + 
     216*T1^12*T2^5 - 36*T1^13*T2^5 - 76*T2^6 - 192*T1*T2^6 + 731*T1^2*T2^6 - 
     583*T1^3*T2^6 - 5198*T1^4*T2^6 + 11072*T1^5*T2^6 - 9556*T1^6*T2^6 - 
     5586*T1^7*T2^6 + 11036*T1^8*T2^6 - 6316*T1^9*T2^6 - 392*T1^10*T2^6 + 
     1469*T1^11*T2^6 - 577*T1^12*T2^6 - 12*T1^13*T2^6 + 38*T1^14*T2^6 + 
     24*T2^7 + 198*T1*T2^7 - 225*T1^2*T2^7 - 986*T1^3*T2^7 + 5250*T1^4*T2^7 - 
     4282*T1^5*T2^7 - 5586*T1^6*T2^7 + 19168*T1^7*T2^7 - 13148*T1^8*T2^7 - 
     846*T1^9*T2^7 + 7004*T1^10*T2^7 - 3768*T1^11*T2^7 + 388*T1^12*T2^7 + 
     345*T1^13*T2^7 - 120*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 - 
     152*T1^2*T2^8 + 1144*T1^3*T2^8 - 2278*T1^4*T2^8 - 2462*T1^5*T2^8 + 
     11036*T1^6*T2^8 - 13148*T1^7*T2^8 - 2064*T1^8*T2^8 + 14764*T1^9*T2^8 - 
     10812*T1^10*T2^8 + 1642*T1^11*T2^8 + 2190*T1^12*T2^8 - 1112*T1^13*T2^8 + 
     148*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     120*T1^2*T2^9 - 339*T1^3*T2^9 - 452*T1^4*T2^9 + 4188*T1^5*T2^9 - 
     6316*T1^6*T2^9 - 846*T1^7*T2^9 + 14764*T1^8*T2^9 - 17552*T1^9*T2^9 + 
     3894*T1^10*T2^9 + 4970*T1^11*T2^9 - 4830*T1^12*T2^9 + 922*T1^13*T2^9 + 
     231*T1^14*T2^9 - 198*T1^15*T2^9 - 24*T1^16*T2^9 - 38*T1^2*T2^10 + 
     12*T1^3*T2^10 + 571*T1^4*T2^10 - 1411*T1^5*T2^10 - 392*T1^6*T2^10 + 
     7004*T1^7*T2^10 - 10812*T1^8*T2^10 + 3894*T1^9*T2^10 + 
     9780*T1^10*T2^10 - 10384*T1^11*T2^10 + 4414*T1^12*T2^10 + 
     641*T1^13*T2^10 - 737*T1^14*T2^10 + 192*T1^15*T2^10 + 76*T1^16*T2^10 + 
     36*T1^3*T2^11 - 216*T1^4*T2^11 + 1469*T1^6*T2^11 - 3768*T1^7*T2^11 + 
     1642*T1^8*T2^11 + 4970*T1^9*T2^11 - 10384*T1^10*T2^11 + 
     4612*T1^11*T2^11 + 1002*T1^12*T2^11 - 2653*T1^13*T2^11 + 
     756*T1^14*T2^11 + 54*T1^15*T2^11 - 144*T1^16*T2^11 + 216*T1^5*T2^12 - 
     577*T1^6*T2^12 + 388*T1^7*T2^12 + 2190*T1^8*T2^12 - 4830*T1^9*T2^12 + 
     4414*T1^10*T2^12 + 1002*T1^11*T2^12 - 2850*T1^12*T2^12 + 
     1684*T1^13*T2^12 + 251*T1^14*T2^12 - 432*T1^15*T2^12 + 180*T1^16*T2^12 - 
     36*T1^5*T2^13 - 12*T1^6*T2^13 + 345*T1^7*T2^13 - 1112*T1^8*T2^13 + 
     922*T1^9*T2^13 + 641*T1^10*T2^13 - 2653*T1^11*T2^13 + 1684*T1^12*T2^13 + 
     34*T1^13*T2^13 - 909*T1^14*T2^13 + 522*T1^15*T2^13 - 144*T1^16*T2^13 + 
     38*T1^6*T2^14 - 120*T1^7*T2^14 + 148*T1^8*T2^14 + 231*T1^9*T2^14 - 
     737*T1^10*T2^14 + 756*T1^11*T2^14 + 251*T1^12*T2^14 - 909*T1^13*T2^14 + 
     832*T1^14*T2^14 - 348*T1^15*T2^14 + 76*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 198*T1^9*T2^15 + 192*T1^10*T2^15 + 54*T1^11*T2^15 - 
     432*T1^12*T2^15 + 522*T1^13*T2^15 - 348*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 76*T1^10*T2^16 - 
     144*T1^11*T2^16 + 180*T1^12*T2^16 - 144*T1^13*T2^16 + 76*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 327] -> 
  {((3 - 5*T + 3*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-111 + 625*T1 - 1613*T1^2 + 2159*T1^3 - 1613*T1^4 + 625*T1^5 - 111*T1^6 + 
     625*T2 - 3051*T1*T2 + 6438*T1^2*T2 - 5324*T1^3*T2 - 71*T1^4*T2 + 
     3327*T1^5*T2 - 2031*T1^6*T2 + 472*T1^7*T2 - 1613*T2^2 + 6438*T1*T2^2 - 
     9317*T1^2*T2^2 - 2642*T1^3*T2^2 + 16441*T1^4*T2^2 - 13730*T1^5*T2^2 + 
     1507*T1^6*T2^2 + 1950*T1^7*T2^2 - 821*T1^8*T2^2 + 2159*T2^3 - 
     5324*T1*T2^3 - 2642*T1^2*T2^3 + 32423*T1^3*T2^3 - 38490*T1^4*T2^3 + 
     6163*T1^5*T2^3 + 19717*T1^6*T2^3 - 11046*T1^7*T2^3 + 1459*T1^8*T2^3 + 
     566*T1^9*T2^3 - 1613*T2^4 - 71*T1*T2^4 + 16441*T1^2*T2^4 - 
     38490*T1^3*T2^4 + 369*T1^4*T2^4 + 61381*T1^5*T2^4 - 62235*T1^6*T2^4 + 
     12604*T1^7*T2^4 + 5571*T1^8*T2^4 - 3029*T1^9*T2^4 - 29*T1^10*T2^4 + 
     625*T2^5 + 3327*T1*T2^5 - 13730*T1^2*T2^5 + 6163*T1^3*T2^5 + 
     61381*T1^4*T2^5 - 96871*T1^5*T2^5 + 38733*T1^6*T2^5 + 30933*T1^7*T2^5 - 
     25608*T1^8*T2^5 + 5410*T1^9*T2^5 + 930*T1^10*T2^5 - 140*T1^11*T2^5 - 
     111*T2^6 - 2031*T1*T2^6 + 1507*T1^2*T2^6 + 19717*T1^3*T2^6 - 
     62235*T1^4*T2^6 + 38733*T1^5*T2^6 + 44136*T1^6*T2^6 - 77413*T1^7*T2^6 + 
     30689*T1^8*T2^6 + 1571*T1^9*T2^6 - 4153*T1^10*T2^6 + 519*T1^11*T2^6 + 
     51*T1^12*T2^6 + 472*T1*T2^7 + 1950*T1^2*T2^7 - 11046*T1^3*T2^7 + 
     12604*T1^4*T2^7 + 30933*T1^5*T2^7 - 77413*T1^6*T2^7 + 58191*T1^7*T2^7 + 
     485*T1^8*T2^7 - 19167*T1^9*T2^7 + 8094*T1^10*T2^7 - 447*T1^11*T2^7 - 
     293*T1^12*T2^7 - 821*T1^2*T2^8 + 1459*T1^3*T2^8 + 5571*T1^4*T2^8 - 
     25608*T1^5*T2^8 + 30689*T1^6*T2^8 + 485*T1^7*T2^8 - 31915*T1^8*T2^8 + 
     25486*T1^9*T2^8 - 5299*T1^10*T2^8 - 1499*T1^11*T2^8 + 763*T1^12*T2^8 + 
     566*T1^3*T2^9 - 3029*T1^4*T2^9 + 5410*T1^5*T2^9 + 1571*T1^6*T2^9 - 
     19167*T1^7*T2^9 + 25486*T1^8*T2^9 - 11135*T1^9*T2^9 - 2994*T1^10*T2^9 + 
     3754*T1^11*T2^9 - 1027*T1^12*T2^9 - 29*T1^4*T2^10 + 930*T1^5*T2^10 - 
     4153*T1^6*T2^10 + 8094*T1^7*T2^10 - 5299*T1^8*T2^10 - 2994*T1^9*T2^10 + 
     6671*T1^10*T2^10 - 3558*T1^11*T2^10 + 763*T1^12*T2^10 - 140*T1^5*T2^11 + 
     519*T1^6*T2^11 - 447*T1^7*T2^11 - 1499*T1^8*T2^11 + 3754*T1^9*T2^11 - 
     3558*T1^10*T2^11 + 1539*T1^11*T2^11 - 293*T1^12*T2^11 + 51*T1^6*T2^12 - 
     293*T1^7*T2^12 + 763*T1^8*T2^12 - 1027*T1^9*T2^12 + 763*T1^10*T2^12 - 
     293*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 328] -> 
  {-((3 - 16*T + 34*T^2 - 43*T^3 + 34*T^4 - 16*T^5 + 3*T^6)/T^3), 
   -((-138 + 731*T1 - 1545*T1^2 + 1952*T1^3 - 1545*T1^4 + 731*T1^5 - 
      138*T1^6 + 731*T2 - 3286*T1*T2 + 5085*T1^2*T2 - 3790*T1^3*T2 - 
      94*T1^4*T2 + 2685*T1^5*T2 - 2374*T1^6*T2 + 587*T1^7*T2 - 1545*T2^2 + 
      5085*T1*T2^2 - 1882*T1^2*T2^2 - 7816*T1^3*T2^2 + 16046*T1^4*T2^2 - 
      13324*T1^5*T2^2 + 4442*T1^6*T2^2 + 1821*T1^7*T2^2 - 933*T1^8*T2^2 + 
      1952*T2^3 - 3790*T1*T2^3 - 7816*T1^2*T2^3 + 20643*T1^3*T2^3 - 
      20187*T1^4*T2^3 + 2351*T1^5*T2^3 + 11245*T1^6*T2^3 - 10638*T1^7*T2^3 + 
      770*T1^8*T2^3 + 791*T1^9*T2^3 - 1545*T2^4 - 94*T1*T2^4 + 
      16046*T1^2*T2^4 - 20187*T1^3*T2^4 + 4263*T1^4*T2^4 + 19549*T1^5*T2^4 - 
      20241*T1^6*T2^4 + 4925*T1^7*T2^4 + 7902*T1^8*T2^4 - 2494*T1^9*T2^4 - 
      321*T1^10*T2^4 + 731*T2^5 + 2685*T1*T2^5 - 13324*T1^2*T2^5 + 
      2351*T1^3*T2^5 + 19549*T1^4*T2^5 - 28520*T1^5*T2^5 + 7014*T1^6*T2^5 + 
      13361*T1^7*T2^5 - 15039*T1^8*T2^5 + 242*T1^9*T2^5 + 1629*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 2374*T1*T2^6 + 4442*T1^2*T2^6 + 
      11245*T1^3*T2^6 - 20241*T1^4*T2^6 + 7014*T1^5*T2^6 + 20052*T1^6*T2^6 - 
      24530*T1^7*T2^6 + 9235*T1^8*T2^6 + 6747*T1^9*T2^6 - 3170*T1^10*T2^6 - 
      166*T1^11*T2^6 + 24*T1^12*T2^6 + 587*T1*T2^7 + 1821*T1^2*T2^7 - 
      10638*T1^3*T2^7 + 4925*T1^4*T2^7 + 13361*T1^5*T2^7 - 24530*T1^6*T2^7 + 
      11004*T1^7*T2^7 + 7173*T1^8*T2^7 - 12465*T1^9*T2^7 + 2928*T1^10*T2^7 + 
      765*T1^11*T2^7 - 133*T1^12*T2^7 - 933*T1^2*T2^8 + 770*T1^3*T2^8 + 
      7902*T1^4*T2^8 - 15039*T1^5*T2^8 + 9235*T1^6*T2^8 + 7173*T1^7*T2^8 - 
      15269*T1^8*T2^8 + 10073*T1^9*T2^8 - 242*T1^10*T2^8 - 1630*T1^11*T2^8 + 
      291*T1^12*T2^8 + 791*T1^3*T2^9 - 2494*T1^4*T2^9 + 242*T1^5*T2^9 + 
      6747*T1^6*T2^9 - 12465*T1^7*T2^9 + 10073*T1^8*T2^9 - 2651*T1^9*T2^9 - 
      2580*T1^10*T2^9 + 2066*T1^11*T2^9 - 370*T1^12*T2^9 - 321*T1^4*T2^10 + 
      1629*T1^5*T2^10 - 3170*T1^6*T2^10 + 2928*T1^7*T2^10 - 242*T1^8*T2^10 - 
      2580*T1^9*T2^10 + 3154*T1^10*T2^10 - 1635*T1^11*T2^10 + 
      291*T1^12*T2^10 + 11*T1^5*T2^11 - 166*T1^6*T2^11 + 765*T1^7*T2^11 - 
      1630*T1^8*T2^11 + 2066*T1^9*T2^11 - 1635*T1^10*T2^11 + 
      746*T1^11*T2^11 - 133*T1^12*T2^11 + 24*T1^6*T2^12 - 133*T1^7*T2^12 + 
      291*T1^8*T2^12 - 370*T1^9*T2^12 + 291*T1^10*T2^12 - 133*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 329] -> {(11 - 36*T + 51*T^2 - 36*T^3 + 11*T^4)/T^2, 
   -((5709 - 18466*T1 + 26089*T1^2 - 18466*T1^3 + 5709*T1^4 - 18466*T2 + 
      45734*T1*T2 - 39000*T1^2*T2 - 4548*T1^3*T2 + 27122*T1^4*T2 - 
      14110*T1^5*T2 + 26089*T2^2 - 39000*T1*T2^2 - 14597*T1^2*T2^2 + 
      80365*T1^3*T2^2 - 59477*T1^4*T2^2 + 1392*T1^5*T2^2 + 13747*T1^6*T2^2 - 
      18466*T2^3 - 4548*T1*T2^3 + 80365*T1^2*T2^3 - 98296*T1^3*T2^3 + 
      5600*T1^4*T2^3 + 54661*T1^5*T2^3 - 27120*T1^6*T2^3 - 5398*T1^7*T2^3 + 
      5709*T2^4 + 27122*T1*T2^4 - 59477*T1^2*T2^4 + 5600*T1^3*T2^4 + 
      89364*T1^4*T2^4 - 80656*T1^5*T2^4 + 9151*T1^6*T2^4 + 16034*T1^7*T2^4 + 
      385*T1^8*T2^4 - 14110*T1*T2^5 + 1392*T1^2*T2^5 + 54661*T1^3*T2^5 - 
      80656*T1^4*T2^5 + 23240*T1^5*T2^5 + 28957*T1^6*T2^5 - 21180*T1^7*T2^5 - 
      1042*T1^8*T2^5 + 13747*T1^2*T2^6 - 27120*T1^3*T2^6 + 9151*T1^4*T2^6 + 
      28957*T1^5*T2^6 - 35729*T1^6*T2^6 + 13272*T1^7*T2^6 + 1405*T1^8*T2^6 - 
      5398*T1^3*T2^7 + 16034*T1^4*T2^7 - 21180*T1^5*T2^7 + 13272*T1^6*T2^7 - 
      2578*T1^7*T2^7 - 1042*T1^8*T2^7 + 385*T1^4*T2^8 - 1042*T1^5*T2^8 + 
      1405*T1^6*T2^8 - 1042*T1^7*T2^8 + 385*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, Alternating, 330] -> 
  {(1 - 5*T + 12*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-2 + 10*T1 - 24*T1^2 + 34*T1^3 - 38*T1^4 + 34*T1^5 - 24*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 95*T1^2*T2 - 110*T1^3*T2 + 105*T1^4*T2 - 
     75*T1^5*T2 + 35*T1^6*T2 + 10*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 
     24*T2^2 + 95*T1*T2^2 - 165*T1^2*T2^2 + 114*T1^3*T2^2 - 47*T1^4*T2^2 - 
     49*T1^5*T2^2 + 121*T1^6*T2^2 - 174*T1^7*T2^2 + 99*T1^8*T2^2 - 
     25*T1^9*T2^2 + 34*T2^3 - 110*T1*T2^3 + 114*T1^2*T2^3 + 113*T1^3*T2^3 - 
     252*T1^4*T2^3 + 350*T1^5*T2^3 - 331*T1^6*T2^3 + 264*T1^7*T2^3 + 
     11*T1^8*T2^3 - 138*T1^9*T2^3 + 85*T1^10*T2^3 - 17*T1^11*T2^3 - 38*T2^4 + 
     105*T1*T2^4 - 47*T1^2*T2^4 - 252*T1^3*T2^4 + 242*T1^4*T2^4 - 
     142*T1^5*T2^4 - 22*T1^6*T2^4 + 136*T1^7*T2^4 - 430*T1^8*T2^4 + 
     326*T1^9*T2^4 + 15*T1^10*T2^4 - 105*T1^11*T2^4 + 38*T1^12*T2^4 + 
     34*T2^5 - 75*T1*T2^5 - 49*T1^2*T2^5 + 350*T1^3*T2^5 - 142*T1^4*T2^5 - 
     92*T1^5*T2^5 + 217*T1^6*T2^5 - 307*T1^7*T2^5 + 514*T1^8*T2^5 - 
     95*T1^9*T2^5 - 401*T1^10*T2^5 + 152*T1^11*T2^5 + 65*T1^12*T2^5 - 
     51*T1^13*T2^5 - 24*T2^6 + 35*T1*T2^6 + 121*T1^2*T2^6 - 331*T1^3*T2^6 - 
     22*T1^4*T2^6 + 217*T1^5*T2^6 - 146*T1^6*T2^6 + 250*T1^7*T2^6 - 
     242*T1^8*T2^6 - 359*T1^9*T2^6 + 582*T1^10*T2^6 + 245*T1^11*T2^6 - 
     259*T1^12*T2^6 + 15*T1^13*T2^6 + 48*T1^14*T2^6 + 10*T2^7 + 10*T1*T2^7 - 
     174*T1^2*T2^7 + 264*T1^3*T2^7 + 136*T1^4*T2^7 - 307*T1^5*T2^7 + 
     250*T1^6*T2^7 - 684*T1^7*T2^7 + 546*T1^8*T2^7 - 91*T1^9*T2^7 + 
     113*T1^10*T2^7 - 835*T1^11*T2^7 - 4*T1^12*T2^7 + 294*T1^13*T2^7 - 
     115*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 99*T1^2*T2^8 + 
     11*T1^3*T2^8 - 430*T1^4*T2^8 + 514*T1^5*T2^8 - 242*T1^6*T2^8 + 
     546*T1^7*T2^8 + 252*T1^8*T2^8 - 710*T1^9*T2^8 + 736*T1^10*T2^8 - 
     206*T1^11*T2^8 + 1194*T1^12*T2^8 - 627*T1^13*T2^8 + 21*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 
     138*T1^3*T2^9 + 326*T1^4*T2^9 - 95*T1^5*T2^9 - 359*T1^6*T2^9 - 
     91*T1^7*T2^9 - 710*T1^8*T2^9 + 520*T1^9*T2^9 - 432*T1^10*T2^9 + 
     61*T1^11*T2^9 - 1066*T1^12*T2^9 + 58*T1^13*T2^9 + 330*T1^14*T2^9 - 
     150*T1^15*T2^9 - 30*T1^16*T2^9 + 85*T1^3*T2^10 + 15*T1^4*T2^10 - 
     401*T1^5*T2^10 + 582*T1^6*T2^10 + 113*T1^7*T2^10 + 736*T1^8*T2^10 - 
     432*T1^9*T2^10 + 640*T1^10*T2^10 - 463*T1^11*T2^10 + 1186*T1^12*T2^10 + 
     175*T1^13*T2^10 - 365*T1^14*T2^10 + 65*T1^15*T2^10 + 72*T1^16*T2^10 - 
     17*T1^3*T2^11 - 105*T1^4*T2^11 + 152*T1^5*T2^11 + 245*T1^6*T2^11 - 
     835*T1^7*T2^11 - 206*T1^8*T2^11 + 61*T1^9*T2^11 - 463*T1^10*T2^11 + 
     400*T1^11*T2^11 - 788*T1^12*T2^11 - 506*T1^13*T2^11 + 353*T1^14*T2^11 + 
     35*T1^15*T2^11 - 102*T1^16*T2^11 + 38*T1^4*T2^12 + 65*T1^5*T2^12 - 
     259*T1^6*T2^12 - 4*T1^7*T2^12 + 1194*T1^8*T2^12 - 1066*T1^9*T2^12 + 
     1186*T1^10*T2^12 - 788*T1^11*T2^12 + 522*T1^12*T2^12 + 574*T1^13*T2^12 - 
     197*T1^14*T2^12 - 145*T1^15*T2^12 + 114*T1^16*T2^12 - 51*T1^5*T2^13 + 
     15*T1^6*T2^13 + 294*T1^7*T2^13 - 627*T1^8*T2^13 + 58*T1^9*T2^13 + 
     175*T1^10*T2^13 - 506*T1^11*T2^13 + 574*T1^12*T2^13 - 729*T1^13*T2^13 + 
     42*T1^14*T2^13 + 210*T1^15*T2^13 - 102*T1^16*T2^13 + 48*T1^6*T2^14 - 
     115*T1^7*T2^14 + 21*T1^8*T2^14 + 330*T1^9*T2^14 - 365*T1^10*T2^14 + 
     353*T1^11*T2^14 - 197*T1^12*T2^14 + 42*T1^13*T2^14 + 285*T1^14*T2^14 - 
     235*T1^15*T2^14 + 72*T1^16*T2^14 - 25*T1^7*T2^15 + 95*T1^8*T2^15 - 
     150*T1^9*T2^15 + 65*T1^10*T2^15 + 35*T1^11*T2^15 - 145*T1^12*T2^15 + 
     210*T1^13*T2^15 - 235*T1^14*T2^15 + 125*T1^15*T2^15 - 30*T1^16*T2^15 + 
     6*T1^8*T2^16 - 30*T1^9*T2^16 + 72*T1^10*T2^16 - 102*T1^11*T2^16 + 
     114*T1^12*T2^16 - 102*T1^13*T2^16 + 72*T1^14*T2^16 - 30*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 331] -> 
  {(2 - 11*T + 27*T^2 - 35*T^3 + 27*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-15 + 83*T1 - 204*T1^2 + 265*T1^3 - 204*T1^4 + 83*T1^5 - 15*T1^6 + 
     83*T2 - 420*T1*T2 + 911*T1^2*T2 - 931*T1^3*T2 + 433*T1^4*T2 + 
     75*T1^5*T2 - 134*T1^6*T2 + 39*T1^7*T2 - 204*T2^2 + 911*T1*T2^2 - 
     1556*T1^2*T2^2 + 568*T1^3*T2^2 + 1226*T1^4*T2^2 - 2024*T1^5*T2^2 + 
     1144*T1^6*T2^2 - 277*T1^7*T2^2 + 12*T1^8*T2^2 + 265*T2^3 - 931*T1*T2^3 + 
     568*T1^2*T2^3 + 2827*T1^3*T2^3 - 5747*T1^4*T2^3 + 4687*T1^5*T2^3 - 
     689*T1^6*T2^3 - 1241*T1^7*T2^3 + 785*T1^8*T2^3 - 155*T1^9*T2^3 - 
     204*T2^4 + 433*T1*T2^4 + 1226*T1^2*T2^4 - 5747*T1^3*T2^4 + 
     6538*T1^4*T2^4 - 264*T1^5*T2^4 - 6542*T1^6*T2^4 + 5943*T1^7*T2^4 - 
     1412*T1^8*T2^4 - 403*T1^9*T2^4 + 228*T1^10*T2^4 + 83*T2^5 + 75*T1*T2^5 - 
     2024*T1^2*T2^5 + 4687*T1^3*T2^5 - 264*T1^4*T2^5 - 11150*T1^5*T2^5 + 
     15012*T1^6*T2^5 - 6177*T1^7*T2^5 - 3235*T1^8*T2^5 + 2917*T1^9*T2^5 - 
     497*T1^10*T2^5 - 137*T1^11*T2^5 - 15*T2^6 - 134*T1*T2^6 + 
     1144*T1^2*T2^6 - 689*T1^3*T2^6 - 6542*T1^4*T2^6 + 15012*T1^5*T2^6 - 
     7548*T1^6*T2^6 - 8144*T1^7*T2^6 + 13616*T1^8*T2^6 - 4499*T1^9*T2^6 - 
     616*T1^10*T2^6 + 570*T1^11*T2^6 + 33*T1^12*T2^6 + 39*T1*T2^7 - 
     277*T1^2*T2^7 - 1241*T1^3*T2^7 + 5943*T1^4*T2^7 - 6177*T1^5*T2^7 - 
     8144*T1^6*T2^7 + 18018*T1^7*T2^7 - 12090*T1^8*T2^7 - 1979*T1^9*T2^7 + 
     3700*T1^10*T2^7 - 849*T1^11*T2^7 - 181*T1^12*T2^7 + 12*T1^2*T2^8 + 
     785*T1^3*T2^8 - 1412*T1^4*T2^8 - 3235*T1^5*T2^8 + 13616*T1^6*T2^8 - 
     12090*T1^7*T2^8 + 536*T1^8*T2^8 + 8455*T1^9*T2^8 - 4050*T1^10*T2^8 - 
     51*T1^11*T2^8 + 444*T1^12*T2^8 - 155*T1^3*T2^9 - 403*T1^4*T2^9 + 
     2917*T1^5*T2^9 - 4499*T1^6*T2^9 - 1979*T1^7*T2^9 + 8455*T1^8*T2^9 - 
     8015*T1^9*T2^9 + 1108*T1^10*T2^9 + 1313*T1^11*T2^9 - 575*T1^12*T2^9 + 
     228*T1^4*T2^10 - 497*T1^5*T2^10 - 616*T1^6*T2^10 + 3700*T1^7*T2^10 - 
     4050*T1^8*T2^10 + 1108*T1^9*T2^10 + 2084*T1^10*T2^10 - 
     1685*T1^11*T2^10 + 444*T1^12*T2^10 - 137*T1^5*T2^11 + 570*T1^6*T2^11 - 
     849*T1^7*T2^11 - 51*T1^8*T2^11 + 1313*T1^9*T2^11 - 1685*T1^10*T2^11 + 
     856*T1^11*T2^11 - 181*T1^12*T2^11 + 33*T1^6*T2^12 - 181*T1^7*T2^12 + 
     444*T1^8*T2^12 - 575*T1^9*T2^12 + 444*T1^10*T2^12 - 181*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 332] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-4 + 24*T1 - 60*T1^2 + 76*T1^3 - 60*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
      127*T1*T2 + 258*T1^2*T2 - 201*T1^3*T2 + 37*T1^4*T2 + 111*T1^5*T2 - 
      78*T1^6*T2 + 17*T1^7*T2 - 60*T2^2 + 258*T1*T2^2 - 314*T1^2*T2^2 - 
      242*T1^3*T2^2 + 678*T1^4*T2^2 - 723*T1^5*T2^2 + 204*T1^6*T2^2 + 
      36*T1^7*T2^2 - 23*T1^8*T2^2 + 76*T2^3 - 201*T1*T2^3 - 242*T1^2*T2^3 + 
      1531*T1^3*T2^3 - 1617*T1^4*T2^3 + 765*T1^5*T2^3 + 594*T1^6*T2^3 - 
      563*T1^7*T2^3 + 138*T1^8*T2^3 - 60*T2^4 + 37*T1*T2^4 + 678*T1^2*T2^4 - 
      1617*T1^3*T2^4 + 82*T1^4*T2^4 + 1881*T1^5*T2^4 - 2955*T1^6*T2^4 + 
      1328*T1^7*T2^4 - 15*T1^8*T2^4 - 138*T1^9*T2^4 + 23*T1^10*T2^4 + 
      24*T2^5 + 111*T1*T2^5 - 723*T1^2*T2^5 + 765*T1^3*T2^5 + 
      1881*T1^4*T2^5 - 3731*T1^5*T2^5 + 3161*T1^6*T2^5 - 51*T1^7*T2^5 - 
      1292*T1^8*T2^5 + 583*T1^9*T2^5 - 36*T1^10*T2^5 - 17*T1^11*T2^5 - 
      4*T2^6 - 78*T1*T2^6 + 204*T1^2*T2^6 + 594*T1^3*T2^6 - 2955*T1^4*T2^6 + 
      3161*T1^5*T2^6 - 252*T1^6*T2^6 - 3001*T1^7*T2^6 + 2949*T1^8*T2^6 - 
      638*T1^9*T2^6 - 210*T1^10*T2^6 + 78*T1^11*T2^6 + 4*T1^12*T2^6 + 
      17*T1*T2^7 + 36*T1^2*T2^7 - 563*T1^3*T2^7 + 1328*T1^4*T2^7 - 
      51*T1^5*T2^7 - 3001*T1^6*T2^7 + 3891*T1^7*T2^7 - 1983*T1^8*T2^7 - 
      729*T1^9*T2^7 + 743*T1^10*T2^7 - 111*T1^11*T2^7 - 24*T1^12*T2^7 - 
      23*T1^2*T2^8 + 138*T1^3*T2^8 - 15*T1^4*T2^8 - 1292*T1^5*T2^8 + 
      2949*T1^6*T2^8 - 1983*T1^7*T2^8 - 88*T1^8*T2^8 + 1653*T1^9*T2^8 - 
      708*T1^10*T2^8 - 37*T1^11*T2^8 + 60*T1^12*T2^8 - 138*T1^4*T2^9 + 
      583*T1^5*T2^9 - 638*T1^6*T2^9 - 729*T1^7*T2^9 + 1653*T1^8*T2^9 - 
      1575*T1^9*T2^9 + 262*T1^10*T2^9 + 201*T1^11*T2^9 - 76*T1^12*T2^9 + 
      23*T1^4*T2^10 - 36*T1^5*T2^10 - 210*T1^6*T2^10 + 743*T1^7*T2^10 - 
      708*T1^8*T2^10 + 262*T1^9*T2^10 + 308*T1^10*T2^10 - 258*T1^11*T2^10 + 
      60*T1^12*T2^10 - 17*T1^5*T2^11 + 78*T1^6*T2^11 - 111*T1^7*T2^11 - 
      37*T1^8*T2^11 + 201*T1^9*T2^11 - 258*T1^10*T2^11 + 127*T1^11*T2^11 - 
      24*T1^12*T2^11 + 4*T1^6*T2^12 - 24*T1^7*T2^12 + 60*T1^8*T2^12 - 
      76*T1^9*T2^12 + 60*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 333] -> 
  {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 
   (2*(-56 + 220*T1 - 340*T1^2 + 220*T1^3 - 56*T1^4 + 220*T2 - 770*T1*T2 + 
      980*T1^2*T2 - 332*T1^3*T2 - 130*T1^4*T2 + 92*T1^5*T2 - 340*T2^2 + 
      980*T1*T2^2 - 647*T1^2*T2^2 - 961*T1^3*T2^2 + 1453*T1^4*T2^2 - 
      620*T1^5*T2^2 + 60*T1^6*T2^2 + 220*T2^3 - 332*T1*T2^3 - 961*T1^2*T2^3 + 
      3176*T1^3*T2^3 - 3104*T1^4*T2^3 + 639*T1^5*T2^3 + 404*T1^6*T2^3 - 
      164*T1^7*T2^3 - 56*T2^4 - 130*T1*T2^4 + 1453*T1^2*T2^4 - 
      3104*T1^3*T2^4 + 1932*T1^4*T2^4 + 1760*T1^5*T2^4 - 1843*T1^6*T2^4 + 
      382*T1^7*T2^4 + 72*T1^8*T2^4 + 92*T1*T2^5 - 620*T1^2*T2^5 + 
      639*T1^3*T2^5 + 1760*T1^4*T2^5 - 4520*T1^5*T2^5 + 2239*T1^6*T2^5 + 
      116*T1^7*T2^5 - 292*T1^8*T2^5 + 60*T1^2*T2^6 + 404*T1^3*T2^6 - 
      1843*T1^4*T2^6 + 2239*T1^5*T2^6 + 257*T1^6*T2^6 - 1196*T1^7*T2^6 + 
      460*T1^8*T2^6 - 164*T1^3*T2^7 + 382*T1^4*T2^7 + 116*T1^5*T2^7 - 
      1196*T1^6*T2^7 + 1022*T1^7*T2^7 - 292*T1^8*T2^7 + 72*T1^4*T2^8 - 
      292*T1^5*T2^8 + 460*T1^6*T2^8 - 292*T1^7*T2^8 + 72*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, Alternating, 334] -> 
  {(2 - 4*T + 6*T^2 - 8*T^3 + 9*T^4 - 8*T^5 + 6*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 193*T1^2 - 257*T1^3 + 289*T1^4 - 257*T1^5 + 193*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 160*T1^2*T2 + 176*T1^3*T2 - 
      128*T1^4*T2 + 8*T1^5*T2 + 64*T1^6*T2 - 80*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 193*T2^2 - 160*T1*T2^2 + 258*T1^2*T2^2 - 354*T1^3*T2^2 + 
      358*T1^4*T2^2 - 290*T1^5*T2^2 + 286*T1^6*T2^2 - 258*T1^7*T2^2 + 
      162*T1^8*T2^2 - 64*T1^9*T2^2 + 145*T1^10*T2^2 - 257*T2^3 + 
      176*T1*T2^3 - 354*T1^2*T2^3 + 400*T1^3*T2^3 - 328*T1^4*T2^3 + 
      176*T1^5*T2^3 - 88*T1^6*T2^3 - 40*T1^7*T2^3 + 160*T1^8*T2^3 - 
      210*T1^9*T2^3 + 32*T1^10*T2^3 - 161*T1^11*T2^3 + 289*T2^4 - 
      128*T1*T2^4 + 358*T1^2*T2^4 - 328*T1^3*T2^4 + 259*T1^4*T2^4 - 
      135*T1^5*T2^4 + 105*T1^6*T2^4 - 39*T1^7*T2^4 + 11*T1^8*T2^4 - 
      8*T1^9*T2^4 + 182*T1^10*T2^4 + 32*T1^11*T2^4 + 145*T1^12*T2^4 - 
      257*T2^5 + 8*T1*T2^5 - 290*T1^2*T2^5 + 176*T1^3*T2^5 - 135*T1^4*T2^5 + 
      62*T1^5*T2^5 - 82*T1^6*T2^5 + 22*T1^7*T2^5 - 6*T1^8*T2^5 - 
      15*T1^9*T2^5 - 104*T1^10*T2^5 - 146*T1^11*T2^5 - 96*T1^12*T2^5 - 
      97*T1^13*T2^5 + 193*T2^6 + 64*T1*T2^6 + 286*T1^2*T2^6 - 88*T1^3*T2^6 + 
      105*T1^4*T2^6 - 82*T1^5*T2^6 + 78*T1^6*T2^6 + 26*T1^7*T2^6 - 
      22*T1^8*T2^6 + 30*T1^9*T2^6 + 49*T1^10*T2^6 + 152*T1^11*T2^6 + 
      150*T1^12*T2^6 + 96*T1^13*T2^6 + 49*T1^14*T2^6 - 129*T2^7 - 
      80*T1*T2^7 - 258*T1^2*T2^7 - 40*T1^3*T2^7 - 39*T1^4*T2^7 + 
      22*T1^5*T2^7 + 26*T1^6*T2^7 - 84*T1^7*T2^7 - 12*T1^8*T2^7 + 
      26*T1^9*T2^7 - 66*T1^10*T2^7 - 63*T1^11*T2^7 - 200*T1^12*T2^7 - 
      114*T1^13*T2^7 - 64*T1^14*T2^7 - 17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 + 
      162*T1^2*T2^8 + 160*T1^3*T2^8 + 11*T1^4*T2^8 - 6*T1^5*T2^8 - 
      22*T1^6*T2^8 - 12*T1^7*T2^8 + 120*T1^8*T2^8 - 76*T1^9*T2^8 + 
      58*T1^10*T2^8 + 26*T1^11*T2^8 + 139*T1^12*T2^8 + 160*T1^13*T2^8 + 
      66*T1^14*T2^8 + 32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 - 
      64*T1^2*T2^9 - 210*T1^3*T2^9 - 8*T1^4*T2^9 - 15*T1^5*T2^9 + 
      30*T1^6*T2^9 + 26*T1^7*T2^9 - 76*T1^8*T2^9 - 4*T1^9*T2^9 + 
      26*T1^10*T2^9 - 58*T1^11*T2^9 - 39*T1^12*T2^9 - 168*T1^13*T2^9 - 
      66*T1^14*T2^9 - 48*T1^15*T2^9 - T1^16*T2^9 + 145*T1^2*T2^10 + 
      32*T1^3*T2^10 + 182*T1^4*T2^10 - 104*T1^5*T2^10 + 49*T1^6*T2^10 - 
      66*T1^7*T2^10 + 58*T1^8*T2^10 + 26*T1^9*T2^10 - 42*T1^10*T2^10 + 
      46*T1^11*T2^10 - 7*T1^12*T2^10 + 136*T1^13*T2^10 + 46*T1^14*T2^10 + 
      64*T1^15*T2^10 + T1^16*T2^10 - 161*T1^3*T2^11 + 32*T1^4*T2^11 - 
      146*T1^5*T2^11 + 152*T1^6*T2^11 - 63*T1^7*T2^11 + 26*T1^8*T2^11 - 
      58*T1^9*T2^11 + 46*T1^10*T2^11 - 42*T1^11*T2^11 + 57*T1^12*T2^11 - 
      128*T1^13*T2^11 - 2*T1^14*T2^11 - 72*T1^15*T2^11 - T1^16*T2^11 + 
      145*T1^4*T2^12 - 96*T1^5*T2^12 + 150*T1^6*T2^12 - 200*T1^7*T2^12 + 
      139*T1^8*T2^12 - 39*T1^9*T2^12 - 7*T1^10*T2^12 + 57*T1^11*T2^12 - 
      109*T1^12*T2^12 + 120*T1^13*T2^12 - 26*T1^14*T2^12 + 64*T1^15*T2^12 + 
      T1^16*T2^12 - 97*T1^5*T2^13 + 96*T1^6*T2^13 - 114*T1^7*T2^13 + 
      160*T1^8*T2^13 - 168*T1^9*T2^13 + 136*T1^10*T2^13 - 128*T1^11*T2^13 + 
      120*T1^12*T2^13 - 80*T1^13*T2^13 + 30*T1^14*T2^13 - 48*T1^15*T2^13 - 
      T1^16*T2^13 + 49*T1^6*T2^14 - 64*T1^7*T2^14 + 66*T1^8*T2^14 - 
      66*T1^9*T2^14 + 46*T1^10*T2^14 - 2*T1^11*T2^14 - 26*T1^12*T2^14 + 
      30*T1^13*T2^14 - 30*T1^14*T2^14 + 32*T1^15*T2^14 + T1^16*T2^14 - 
      17*T1^7*T2^15 + 32*T1^8*T2^15 - 48*T1^9*T2^15 + 64*T1^10*T2^15 - 
      72*T1^11*T2^15 + 64*T1^12*T2^15 - 48*T1^13*T2^15 + 32*T1^14*T2^15 - 
      16*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^10*T2^16 - 
      T1^11*T2^16 + T1^12*T2^16 - T1^13*T2^16 + T1^14*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 335] -> 
  {((1 - T + T^2)*(4 - 6*T + 5*T^2 - 6*T^3 + 4*T^4))/T^3, 
   -((400 - 988*T1 + 1476*T1^2 - 1672*T1^3 + 1476*T1^4 - 988*T1^5 + 
      400*T1^6 - 988*T2 + 1622*T1*T2 - 1616*T1^2*T2 + 1088*T1^3*T2 - 
      192*T1^4*T2 - 616*T1^5*T2 + 1062*T1^6*T2 - 828*T1^7*T2 + 1476*T2^2 - 
      1616*T1*T2^2 + 1305*T1^2*T2^2 - 861*T1^3*T2^2 + 289*T1^4*T2^2 - 
      21*T1^5*T2^2 - 15*T1^6*T2^2 - 416*T1^7*T2^2 + 996*T1^8*T2^2 - 
      1672*T2^3 + 1088*T1*T2^3 - 861*T1^2*T2^3 + 628*T1^3*T2^3 - 
      214*T1^4*T2^3 + 86*T1^5*T2^3 + 94*T1^6*T2^3 + 99*T1^7*T2^3 - 
      352*T1^8*T2^3 - 856*T1^9*T2^3 + 1476*T2^4 - 192*T1*T2^4 + 
      289*T1^2*T2^4 - 214*T1^3*T2^4 - 57*T1^4*T2^4 + 67*T1^5*T2^4 - 
      317*T1^6*T2^4 + 126*T1^7*T2^4 + 89*T1^8*T2^4 + 848*T1^9*T2^4 + 
      516*T1^10*T2^4 - 988*T2^5 - 616*T1*T2^5 - 21*T1^2*T2^5 + 86*T1^3*T2^5 + 
      67*T1^4*T2^5 - 21*T1^5*T2^5 + 269*T1^6*T2^5 - 8*T1^7*T2^5 - 
      134*T1^8*T2^5 - 501*T1^9*T2^5 - 816*T1^10*T2^5 - 188*T1^11*T2^5 + 
      400*T2^6 + 1062*T1*T2^6 - 15*T1^2*T2^6 + 94*T1^3*T2^6 - 317*T1^4*T2^6 + 
      269*T1^5*T2^6 - 372*T1^6*T2^6 - 21*T1^7*T2^6 + 93*T1^8*T2^6 + 
      226*T1^9*T2^6 + 745*T1^10*T2^6 + 422*T1^11*T2^6 + 16*T1^12*T2^6 - 
      828*T1*T2^7 - 416*T1^2*T2^7 + 99*T1^3*T2^7 + 126*T1^4*T2^7 - 
      8*T1^5*T2^7 - 21*T1^6*T2^7 + 269*T1^7*T2^7 - 83*T1^8*T2^7 - 
      94*T1^9*T2^7 - 381*T1^10*T2^7 - 616*T1^11*T2^7 - 28*T1^12*T2^7 + 
      996*T1^2*T2^8 - 352*T1^3*T2^8 + 89*T1^4*T2^8 - 134*T1^5*T2^8 + 
      93*T1^6*T2^8 - 83*T1^7*T2^8 - 167*T1^8*T2^8 + 206*T1^9*T2^8 - 
      111*T1^10*T2^8 + 688*T1^11*T2^8 + 36*T1^12*T2^8 - 856*T1^3*T2^9 + 
      848*T1^4*T2^9 - 501*T1^5*T2^9 + 226*T1^6*T2^9 - 94*T1^7*T2^9 + 
      206*T1^8*T2^9 - 308*T1^9*T2^9 + 459*T1^10*T2^9 - 592*T1^11*T2^9 - 
      40*T1^12*T2^9 + 516*T1^4*T2^10 - 816*T1^5*T2^10 + 745*T1^6*T2^10 - 
      381*T1^7*T2^10 - 111*T1^8*T2^10 + 459*T1^9*T2^10 - 575*T1^10*T2^10 + 
      384*T1^11*T2^10 + 36*T1^12*T2^10 - 188*T1^5*T2^11 + 422*T1^6*T2^11 - 
      616*T1^7*T2^11 + 688*T1^8*T2^11 - 592*T1^9*T2^11 + 384*T1^10*T2^11 - 
      138*T1^11*T2^11 - 28*T1^12*T2^11 + 16*T1^6*T2^12 - 28*T1^7*T2^12 + 
      36*T1^8*T2^12 - 40*T1^9*T2^12 + 36*T1^10*T2^12 - 28*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 336] -> 
  {(4 - 9*T + 11*T^2 - 11*T^3 + 11*T^4 - 9*T^5 + 4*T^6)/T^3, 
   -((400 - 892*T1 + 1088*T1^2 - 1088*T1^3 + 1088*T1^4 - 892*T1^5 + 
      400*T1^6 - 892*T2 + 1246*T1*T2 - 764*T1^2*T2 + 396*T1^3*T2 - 
      396*T1^4*T2 - 44*T1^5*T2 + 778*T1^6*T2 - 748*T1^7*T2 + 1088*T2^2 - 
      764*T1*T2^2 - 93*T1^2*T2^2 + 93*T1^3*T2^2 + 237*T1^4*T2^2 + 
      269*T1^5*T2^2 - 709*T1^6*T2^2 + 28*T1^7*T2^2 + 736*T1^8*T2^2 - 
      1088*T2^3 + 396*T1*T2^3 + 93*T1^2*T2^3 + 331*T1^3*T2^3 - 
      565*T1^4*T2^3 - 103*T1^5*T2^3 + 331*T1^6*T2^3 + 258*T1^7*T2^3 - 
      396*T1^8*T2^3 - 560*T1^9*T2^3 + 1088*T2^4 - 396*T1*T2^4 + 
      237*T1^2*T2^4 - 565*T1^3*T2^4 + 484*T1^4*T2^4 + 220*T1^5*T2^4 - 
      352*T1^6*T2^4 - 15*T1^7*T2^4 + 83*T1^8*T2^4 + 396*T1^9*T2^4 + 
      384*T1^10*T2^4 - 892*T2^5 - 44*T1*T2^5 + 269*T1^2*T2^5 - 
      103*T1^3*T2^5 + 220*T1^4*T2^5 - 596*T1^5*T2^5 + 342*T1^6*T2^5 + 
      165*T1^7*T2^5 - 389*T1^8*T2^5 + 60*T1^9*T2^5 - 476*T1^10*T2^5 - 
      172*T1^11*T2^5 + 400*T2^6 + 778*T1*T2^6 - 709*T1^2*T2^6 + 
      331*T1^3*T2^6 - 352*T1^4*T2^6 + 342*T1^5*T2^6 + 216*T1^6*T2^6 - 
      578*T1^7*T2^6 + 462*T1^8*T2^6 + T1^9*T2^6 + 183*T1^10*T2^6 + 
      346*T1^11*T2^6 + 16*T1^12*T2^6 - 748*T1*T2^7 + 28*T1^2*T2^7 + 
      258*T1^3*T2^7 - 15*T1^4*T2^7 + 165*T1^5*T2^7 - 578*T1^6*T2^7 + 
      360*T1^7*T2^7 + 110*T1^8*T2^7 - 301*T1^9*T2^7 + 49*T1^10*T2^7 - 
      404*T1^11*T2^7 - 28*T1^12*T2^7 + 736*T1^2*T2^8 - 396*T1^3*T2^8 + 
      83*T1^4*T2^8 - 389*T1^5*T2^8 + 462*T1^6*T2^8 + 110*T1^7*T2^8 - 
      374*T1^8*T2^8 + 161*T1^9*T2^8 - 71*T1^10*T2^8 + 396*T1^11*T2^8 + 
      32*T1^12*T2^8 - 560*T1^3*T2^9 + 396*T1^4*T2^9 + 60*T1^5*T2^9 + 
      T1^6*T2^9 - 301*T1^7*T2^9 + 161*T1^8*T2^9 + T1^9*T2^9 + 
      225*T1^10*T2^9 - 396*T1^11*T2^9 - 32*T1^12*T2^9 + 384*T1^4*T2^10 - 
      476*T1^5*T2^10 + 183*T1^6*T2^10 + 49*T1^7*T2^10 - 71*T1^8*T2^10 + 
      225*T1^9*T2^10 - 433*T1^10*T2^10 + 316*T1^11*T2^10 + 32*T1^12*T2^10 - 
      172*T1^5*T2^11 + 346*T1^6*T2^11 - 404*T1^7*T2^11 + 396*T1^8*T2^11 - 
      396*T1^9*T2^11 + 316*T1^10*T2^11 - 122*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 32*T1^8*T2^12 - 32*T1^9*T2^12 + 
      32*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 337] -> 
  {(8 - 22*T + 29*T^2 - 22*T^3 + 8*T^4)/T^2, 
   -((2240 - 6064*T1 + 7952*T1^2 - 6064*T1^3 + 2240*T1^4 - 6064*T2 + 
      11812*T1*T2 - 9024*T1^2*T2 - 48*T1^3*T2 + 6532*T1^4*T2 - 4656*T1^5*T2 + 
      7952*T2^2 - 9024*T1*T2^2 - 1829*T1^2*T2^2 + 12351*T1^3*T2^2 - 
      11573*T1^4*T2^2 + 1184*T1^5*T2^2 + 4240*T1^6*T2^2 - 6064*T2^3 - 
      48*T1*T2^3 + 12351*T1^2*T2^3 - 13880*T1^3*T2^3 + 2818*T1^4*T2^3 + 
      8523*T1^5*T2^3 - 6560*T1^6*T2^3 - 1840*T1^7*T2^3 + 2240*T2^4 + 
      6532*T1*T2^4 - 11573*T1^2*T2^4 + 2818*T1^3*T2^4 + 9504*T1^4*T2^4 - 
      11878*T1^5*T2^4 + 2299*T1^6*T2^4 + 4420*T1^7*T2^4 + 192*T1^8*T2^4 - 
      4656*T1*T2^5 + 1184*T1^2*T2^5 + 8523*T1^3*T2^5 - 11878*T1^4*T2^5 + 
      4820*T1^5*T2^5 + 4695*T1^6*T2^5 - 5328*T1^7*T2^5 - 432*T1^8*T2^5 + 
      4240*T1^2*T2^6 - 6560*T1^3*T2^6 + 2299*T1^4*T2^6 + 4695*T1^5*T2^6 - 
      7445*T1^6*T2^6 + 3648*T1^7*T2^6 + 528*T1^8*T2^6 - 1840*T1^3*T2^7 + 
      4420*T1^4*T2^7 - 5328*T1^5*T2^7 + 3648*T1^6*T2^7 - 860*T1^7*T2^7 - 
      432*T1^8*T2^7 + 192*T1^4*T2^8 - 432*T1^5*T2^8 + 528*T1^6*T2^8 - 
      432*T1^7*T2^8 + 192*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 338] -> 
  {((1 - T + T^2)*(2 - 3*T + 4*T^2 - 5*T^3 + 4*T^4 - 3*T^5 + 2*T^6))/T^4, 
   -((65 - 161*T1 + 288*T1^2 - 382*T1^3 + 413*T1^4 - 382*T1^5 + 288*T1^6 - 
      161*T1^7 + 65*T1^8 - 161*T2 + 260*T1*T2 - 369*T1^2*T2 + 328*T1^3*T2 - 
      199*T1^4*T2 + 51*T1^5*T2 + 118*T1^6*T2 - 229*T1^7*T2 + 190*T1^8*T2 - 
      141*T1^9*T2 + 288*T2^2 - 369*T1*T2^2 + 615*T1^2*T2^2 - 644*T1^3*T2^2 + 
      668*T1^4*T2^2 - 661*T1^5*T2^2 + 524*T1^6*T2^2 - 392*T1^7*T2^2 + 
      363*T1^8*T2^2 - 189*T1^9*T2^2 + 216*T1^10*T2^2 - 382*T2^3 + 
      328*T1*T2^3 - 644*T1^2*T2^3 + 517*T1^3*T2^3 - 483*T1^4*T2^3 + 
      342*T1^5*T2^3 - 45*T1^6*T2^3 - 132*T1^7*T2^3 + 139*T1^8*T2^3 - 
      311*T1^9*T2^3 + 58*T1^10*T2^3 - 238*T1^11*T2^3 + 413*T2^4 - 
      199*T1*T2^4 + 668*T1^2*T2^4 - 483*T1^3*T2^4 + 648*T1^4*T2^4 - 
      593*T1^5*T2^4 + 392*T1^6*T2^4 - 345*T1^7*T2^4 + 344*T1^8*T2^4 - 
      75*T1^9*T2^4 + 332*T1^10*T2^4 + 81*T1^11*T2^4 + 205*T1^12*T2^4 - 
      382*T2^5 + 51*T1*T2^5 - 661*T1^2*T2^5 + 342*T1^3*T2^5 - 593*T1^4*T2^5 + 
      409*T1^5*T2^5 - 168*T1^6*T2^5 + 117*T1^7*T2^5 - 29*T1^8*T2^5 - 
      251*T1^9*T2^5 - 99*T1^10*T2^5 - 340*T1^11*T2^5 - 159*T1^12*T2^5 - 
      142*T1^13*T2^5 + 288*T2^6 + 118*T1*T2^6 + 524*T1^2*T2^6 - 
      45*T1^3*T2^6 + 392*T1^4*T2^6 - 168*T1^5*T2^6 + 73*T1^6*T2^6 - 
      141*T1^7*T2^6 + 61*T1^8*T2^6 + 126*T1^9*T2^6 + 230*T1^10*T2^6 + 
      261*T1^11*T2^6 + 284*T1^12*T2^6 + 178*T1^13*T2^6 + 72*T1^14*T2^6 - 
      161*T2^7 - 229*T1*T2^7 - 392*T1^2*T2^7 - 132*T1^3*T2^7 - 
      345*T1^4*T2^7 + 117*T1^5*T2^7 - 141*T1^6*T2^7 + 205*T1^7*T2^7 - 
      39*T1^8*T2^7 - 105*T1^9*T2^7 - 150*T1^10*T2^7 - 311*T1^11*T2^7 - 
      255*T1^12*T2^7 - 239*T1^13*T2^7 - 129*T1^14*T2^7 - 21*T1^15*T2^7 + 
      65*T2^8 + 190*T1*T2^8 + 363*T1^2*T2^8 + 139*T1^3*T2^8 + 344*T1^4*T2^8 - 
      29*T1^5*T2^8 + 61*T1^6*T2^8 - 39*T1^7*T2^8 - 168*T1^8*T2^8 + 
      187*T1^9*T2^8 + 25*T1^10*T2^8 + 277*T1^11*T2^8 + 252*T1^12*T2^8 + 
      217*T1^13*T2^8 + 177*T1^14*T2^8 + 50*T1^15*T2^8 + T1^16*T2^8 - 
      141*T1*T2^9 - 189*T1^2*T2^9 - 311*T1^3*T2^9 - 75*T1^4*T2^9 - 
      251*T1^5*T2^9 + 126*T1^6*T2^9 - 105*T1^7*T2^9 + 187*T1^8*T2^9 - 
      57*T1^9*T2^9 - 69*T1^10*T2^9 - 141*T1^11*T2^9 - 217*T1^12*T2^9 - 
      198*T1^13*T2^9 - 158*T1^14*T2^9 - 89*T1^15*T2^9 - T1^16*T2^9 + 
      216*T1^2*T2^10 + 58*T1^3*T2^10 + 332*T1^4*T2^10 - 99*T1^5*T2^10 + 
      230*T1^6*T2^10 - 150*T1^7*T2^10 + 25*T1^8*T2^10 - 69*T1^9*T2^10 + 
      13*T1^10*T2^10 + 144*T1^11*T2^10 + 68*T1^12*T2^10 + 207*T1^13*T2^10 + 
      92*T1^14*T2^10 + 118*T1^15*T2^10 - 238*T1^3*T2^11 + 81*T1^4*T2^11 - 
      340*T1^5*T2^11 + 261*T1^6*T2^11 - 311*T1^7*T2^11 + 277*T1^8*T2^11 - 
      141*T1^9*T2^11 + 144*T1^10*T2^11 - 161*T1^11*T2^11 + 31*T1^12*T2^11 - 
      180*T1^13*T2^11 - 19*T1^14*T2^11 - 129*T1^15*T2^11 + 2*T1^16*T2^11 + 
      205*T1^4*T2^12 - 159*T1^5*T2^12 + 284*T1^6*T2^12 - 255*T1^7*T2^12 + 
      252*T1^8*T2^12 - 217*T1^9*T2^12 + 68*T1^10*T2^12 + 31*T1^11*T2^12 - 
      52*T1^12*T2^12 + 153*T1^13*T2^12 - 52*T1^14*T2^12 + 121*T1^15*T2^12 - 
      3*T1^16*T2^12 - 142*T1^5*T2^13 + 178*T1^6*T2^13 - 239*T1^7*T2^13 + 
      217*T1^8*T2^13 - 198*T1^9*T2^13 + 207*T1^10*T2^13 - 180*T1^11*T2^13 + 
      153*T1^12*T2^13 - 161*T1^13*T2^13 + 94*T1^14*T2^13 - 92*T1^15*T2^13 + 
      2*T1^16*T2^13 + 72*T1^6*T2^14 - 129*T1^7*T2^14 + 177*T1^8*T2^14 - 
      158*T1^9*T2^14 + 92*T1^10*T2^14 - 19*T1^11*T2^14 - 52*T1^12*T2^14 + 
      94*T1^13*T2^14 - 75*T1^14*T2^14 + 51*T1^15*T2^14 - 21*T1^7*T2^15 + 
      50*T1^8*T2^15 - 89*T1^9*T2^15 + 118*T1^10*T2^15 - 129*T1^11*T2^15 + 
      121*T1^12*T2^15 - 92*T1^13*T2^15 + 51*T1^14*T2^15 - 20*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + 2*T1^11*T2^16 - 3*T1^12*T2^16 + 
      2*T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 339] -> 
  {(3 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 3*T^6)/T^3, 
   -((171 - 395*T1 + 619*T1^2 - 731*T1^3 + 619*T1^4 - 395*T1^5 + 171*T1^6 - 
      395*T2 + 583*T1*T2 - 667*T1^2*T2 + 491*T1^3*T2 - 13*T1^4*T2 - 
      289*T1^5*T2 + 373*T1^6*T2 - 332*T1^7*T2 + 619*T2^2 - 667*T1*T2^2 + 
      839*T1^2*T2^2 - 733*T1^3*T2^2 + 353*T1^4*T2^2 - 337*T1^5*T2^2 + 
      311*T1^6*T2^2 - 205*T1^7*T2^2 + 421*T1^8*T2^2 - 731*T2^3 + 
      491*T1*T2^3 - 733*T1^2*T2^3 + 520*T1^3*T2^3 - 100*T1^4*T2^3 + 
      158*T1^5*T2^3 + 34*T1^6*T2^3 - 216*T1^7*T2^3 - 97*T1^8*T2^3 - 
      380*T1^9*T2^3 + 619*T2^4 - 13*T1*T2^4 + 353*T1^2*T2^4 - 100*T1^3*T2^4 - 
      99*T1^4*T2^4 - 181*T1^5*T2^4 - 63*T1^6*T2^4 + 160*T1^7*T2^4 + 
      175*T1^8*T2^4 + 365*T1^9*T2^4 + 223*T1^10*T2^4 - 395*T2^5 - 
      289*T1*T2^5 - 337*T1^2*T2^5 + 158*T1^3*T2^5 - 181*T1^4*T2^5 + 
      401*T1^5*T2^5 + 77*T1^6*T2^5 - 148*T1^7*T2^5 - 96*T1^8*T2^5 - 
      370*T1^9*T2^5 - 331*T1^10*T2^5 - 80*T1^11*T2^5 + 171*T2^6 + 
      373*T1*T2^6 + 311*T1^2*T2^6 + 34*T1^3*T2^6 - 63*T1^4*T2^6 + 
      77*T1^5*T2^6 - 552*T1^6*T2^6 + 339*T1^7*T2^6 - 45*T1^8*T2^6 + 
      274*T1^9*T2^6 + 363*T1^10*T2^6 + 163*T1^11*T2^6 + 9*T1^12*T2^6 - 
      332*T1*T2^7 - 205*T1^2*T2^7 - 216*T1^3*T2^7 + 160*T1^4*T2^7 - 
      148*T1^5*T2^7 + 339*T1^6*T2^7 + 15*T1^7*T2^7 - 115*T1^8*T2^7 - 
      94*T1^9*T2^7 - 249*T1^10*T2^7 - 247*T1^11*T2^7 - 17*T1^12*T2^7 + 
      421*T1^2*T2^8 - 97*T1^3*T2^8 + 175*T1^4*T2^8 - 96*T1^5*T2^8 - 
      45*T1^6*T2^8 - 115*T1^7*T2^8 - 9*T1^8*T2^8 + 164*T1^9*T2^8 - 
      3*T1^10*T2^8 + 281*T1^11*T2^8 + 25*T1^12*T2^8 - 380*T1^3*T2^9 + 
      365*T1^4*T2^9 - 370*T1^5*T2^9 + 274*T1^6*T2^9 - 94*T1^7*T2^9 + 
      164*T1^8*T2^9 - 212*T1^9*T2^9 + 147*T1^10*T2^9 - 223*T1^11*T2^9 - 
      29*T1^12*T2^9 + 223*T1^4*T2^10 - 331*T1^5*T2^10 + 363*T1^6*T2^10 - 
      249*T1^7*T2^10 - 3*T1^8*T2^10 + 147*T1^9*T2^10 - 165*T1^10*T2^10 + 
      131*T1^11*T2^10 + 25*T1^12*T2^10 - 80*T1^5*T2^11 + 163*T1^6*T2^11 - 
      247*T1^7*T2^11 + 281*T1^8*T2^11 - 223*T1^9*T2^11 + 131*T1^10*T2^11 - 
      47*T1^11*T2^11 - 17*T1^12*T2^11 + 9*T1^6*T2^12 - 17*T1^7*T2^12 + 
      25*T1^8*T2^12 - 29*T1^9*T2^12 + 25*T1^10*T2^12 - 17*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 340] -> 
  {((1 - T + T^2)*(4 - 7*T + 7*T^2 - 7*T^3 + 4*T^4))/T^3, 
   (-2*(200 - 544*T1 + 884*T1^2 - 1028*T1^3 + 884*T1^4 - 544*T1^5 + 
      200*T1^6 - 544*T2 + 1030*T1*T2 - 1178*T1^2*T2 + 794*T1^3*T2 - 
      64*T1^4*T2 - 540*T1^5*T2 + 700*T1^6*T2 - 456*T1^7*T2 + 884*T2^2 - 
      1178*T1*T2^2 + 1090*T1^2*T2^2 - 550*T1^3*T2^2 - 22*T1^4*T2^2 + 
      170*T1^5*T2^2 + 82*T1^6*T2^2 - 386*T1^7*T2^2 + 596*T1^8*T2^2 - 
      1028*T2^3 + 794*T1*T2^3 - 550*T1^2*T2^3 + 61*T1^3*T2^3 + 
      182*T1^4*T2^3 - 25*T1^5*T2^3 - 218*T1^6*T2^3 + 233*T1^7*T2^3 - 
      196*T1^8*T2^3 - 524*T1^9*T2^3 + 884*T2^4 - 64*T1*T2^4 - 22*T1^2*T2^4 + 
      182*T1^3*T2^4 - 10*T1^4*T2^4 - 255*T1^5*T2^4 + 284*T1^6*T2^4 - 
      28*T1^7*T2^4 - 73*T1^8*T2^4 + 596*T1^9*T2^4 + 308*T1^10*T2^4 - 
      544*T2^5 - 540*T1*T2^5 + 170*T1^2*T2^5 - 25*T1^3*T2^5 - 255*T1^4*T2^5 + 
      316*T1^5*T2^5 - 92*T1^6*T2^5 - 219*T1^7*T2^5 + 176*T1^8*T2^5 - 
      361*T1^9*T2^5 - 562*T1^10*T2^5 - 104*T1^11*T2^5 + 200*T2^6 + 
      700*T1*T2^6 + 82*T1^2*T2^6 - 218*T1^3*T2^6 + 284*T1^4*T2^6 - 
      92*T1^5*T2^6 - 180*T1^6*T2^6 + 288*T1^7*T2^6 - 34*T1^8*T2^6 - 
      2*T1^9*T2^6 + 584*T1^10*T2^6 + 260*T1^11*T2^6 + 8*T1^12*T2^6 - 
      456*T1*T2^7 - 386*T1^2*T2^7 + 233*T1^3*T2^7 - 28*T1^4*T2^7 - 
      219*T1^5*T2^7 + 288*T1^6*T2^7 - 120*T1^7*T2^7 - 183*T1^8*T2^7 + 
      173*T1^9*T2^7 - 298*T1^10*T2^7 - 408*T1^11*T2^7 - 16*T1^12*T2^7 + 
      596*T1^2*T2^8 - 196*T1^3*T2^8 - 73*T1^4*T2^8 + 176*T1^5*T2^8 - 
      34*T1^6*T2^8 - 183*T1^7*T2^8 + 260*T1^8*T2^8 - 34*T1^9*T2^8 - 
      124*T1^10*T2^8 + 464*T1^11*T2^8 + 20*T1^12*T2^8 - 524*T1^3*T2^9 + 
      596*T1^4*T2^9 - 361*T1^5*T2^9 - 2*T1^6*T2^9 + 173*T1^7*T2^9 - 
      34*T1^8*T2^9 - 281*T1^9*T2^9 + 422*T1^10*T2^9 - 394*T1^11*T2^9 - 
      20*T1^12*T2^9 + 308*T1^4*T2^10 - 562*T1^5*T2^10 + 584*T1^6*T2^10 - 
      298*T1^7*T2^10 - 124*T1^8*T2^10 + 422*T1^9*T2^10 - 424*T1^10*T2^10 + 
      230*T1^11*T2^10 + 20*T1^12*T2^10 - 104*T1^5*T2^11 + 260*T1^6*T2^11 - 
      408*T1^7*T2^11 + 464*T1^8*T2^11 - 394*T1^9*T2^11 + 230*T1^10*T2^11 - 
      70*T1^11*T2^11 - 16*T1^12*T2^11 + 8*T1^6*T2^12 - 16*T1^7*T2^12 + 
      20*T1^8*T2^12 - 20*T1^9*T2^12 + 20*T1^10*T2^12 - 16*T1^11*T2^12 + 
      8*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 341] -> {(6 - 15*T + 19*T^2 - 15*T^3 + 6*T^4)/T^2, 
   -((963 - 2379*T1 + 3005*T1^2 - 2379*T1^3 + 963*T1^4 - 2379*T2 + 
      4050*T1*T2 - 2904*T1^2*T2 + 156*T1^3*T2 + 2160*T1^4*T2 - 1839*T1^5*T2 + 
      3005*T2^2 - 2904*T1*T2^2 - 396*T1^2*T2^2 + 3116*T1^3*T2^2 - 
      3360*T1^4*T2^2 + 516*T1^5*T2^2 + 1637*T1^6*T2^2 - 2379*T2^3 + 
      156*T1*T2^3 + 3116*T1^2*T2^3 - 3219*T1^3*T2^3 + 801*T1^4*T2^3 + 
      2261*T1^5*T2^3 - 2184*T1^6*T2^3 - 759*T1^7*T2^3 + 963*T2^4 + 
      2160*T1*T2^4 - 3360*T1^2*T2^4 + 801*T1^3*T2^4 + 2064*T1^4*T2^4 - 
      2889*T1^5*T2^4 + 654*T1^6*T2^4 + 1620*T1^7*T2^4 + 99*T1^8*T2^4 - 
      1839*T1*T2^5 + 516*T1^2*T2^5 + 2261*T1^3*T2^5 - 2889*T1^4*T2^5 + 
      1131*T1^5*T2^5 + 1406*T1^6*T2^5 - 1824*T1^7*T2^5 - 219*T1^8*T2^5 + 
      1637*T1^2*T2^6 - 2184*T1^3*T2^6 + 654*T1^4*T2^6 + 1406*T1^5*T2^6 - 
      2310*T1^6*T2^6 + 1236*T1^7*T2^6 + 269*T1^8*T2^6 - 759*T1^3*T2^7 + 
      1620*T1^4*T2^7 - 1824*T1^5*T2^7 + 1236*T1^6*T2^7 - 270*T1^7*T2^7 - 
      219*T1^8*T2^7 + 99*T1^4*T2^8 - 219*T1^5*T2^8 + 269*T1^6*T2^8 - 
      219*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 342] -> {(4 - 7*T + 7*T^2 - 7*T^3 + 4*T^4)/T^2, 
   -((292 - 506*T1 + 506*T1^2 - 506*T1^3 + 292*T1^4 - 506*T2 + 484*T1*T2 - 
      196*T1^2*T2 + 196*T1^3*T2 + 176*T1^4*T2 - 394*T1^5*T2 + 506*T2^2 - 
      196*T1*T2^2 - 86*T1^2*T2^2 - 70*T1^3*T2^2 - 254*T1^4*T2^2 + 
      196*T1^5*T2^2 + 282*T1^6*T2^2 - 506*T2^3 + 196*T1*T2^3 - 70*T1^2*T2^3 + 
      281*T1^3*T2^3 + 43*T1^4*T2^3 - 21*T1^5*T2^3 - 196*T1^6*T2^3 - 
      170*T1^7*T2^3 + 292*T2^4 + 176*T1*T2^4 - 254*T1^2*T2^4 + 43*T1^3*T2^4 - 
      300*T1^4*T2^4 + 197*T1^5*T2^4 - 16*T1^6*T2^4 + 232*T1^7*T2^4 + 
      36*T1^8*T2^4 - 394*T1*T2^5 + 196*T1^2*T2^5 - 21*T1^3*T2^5 + 
      197*T1^4*T2^5 - 41*T1^5*T2^5 + 28*T1^6*T2^5 - 196*T1^7*T2^5 - 
      58*T1^8*T2^5 + 282*T1^2*T2^6 - 196*T1^3*T2^6 - 16*T1^4*T2^6 + 
      28*T1^5*T2^6 - 184*T1^6*T2^6 + 196*T1^7*T2^6 + 58*T1^8*T2^6 - 
      170*T1^3*T2^7 + 232*T1^4*T2^7 - 196*T1^5*T2^7 + 196*T1^6*T2^7 - 
      76*T1^7*T2^7 - 58*T1^8*T2^7 + 36*T1^4*T2^8 - 58*T1^5*T2^8 + 
      58*T1^6*T2^8 - 58*T1^7*T2^8 + 36*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 343] -> {(8 - 15*T + 8*T^2)/T, 
   (-8*(172 - 319*T1 + 172*T1^2 - 319*T2 + 393*T1*T2 + 48*T1^2*T2 - 
      199*T1^3*T2 + 172*T2^2 + 48*T1*T2^2 - 462*T1^2*T2^2 + 288*T1^3*T2^2 + 
      44*T1^4*T2^2 - 199*T1*T2^3 + 288*T1^2*T2^3 - 57*T1^3*T2^3 - 
      79*T1^4*T2^3 + 44*T1^2*T2^4 - 79*T1^3*T2^4 + 44*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[11, Alternating, 344] -> 
  {-((3 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 687*T1 - 1321*T1^2 + 1592*T1^3 - 1321*T1^4 + 687*T1^5 - 
      138*T1^6 + 687*T2 - 2871*T1*T2 + 3842*T1^2*T2 - 2660*T1^3*T2 + 
      220*T1^4*T2 + 1862*T1^5*T2 - 2061*T1^6*T2 + 552*T1^7*T2 - 1321*T2^2 + 
      3842*T1*T2^2 + 158*T1^2*T2^2 - 7049*T1^3*T2^2 + 11442*T1^4*T2^2 - 
      10529*T1^5*T2^2 + 4682*T1^6*T2^2 + 1232*T1^7*T2^2 - 799*T1^8*T2^2 + 
      1592*T2^3 - 2660*T1*T2^3 - 7049*T1^2*T2^3 + 13428*T1^3*T2^3 - 
      11207*T1^4*T2^3 + 2773*T1^5*T2^3 + 6258*T1^6*T2^3 - 8354*T1^7*T2^3 + 
      760*T1^8*T2^3 + 647*T1^9*T2^3 - 1321*T2^4 + 220*T1*T2^4 + 
      11442*T1^2*T2^4 - 11207*T1^3*T2^4 + 2171*T1^4*T2^4 + 6911*T1^5*T2^4 - 
      9781*T1^6*T2^4 + 3913*T1^7*T2^4 + 5784*T1^8*T2^4 - 1850*T1^9*T2^4 - 
      277*T1^10*T2^4 + 687*T2^5 + 1862*T1*T2^5 - 10529*T1^2*T2^5 + 
      2773*T1^3*T2^5 + 6911*T1^4*T2^5 - 8709*T1^5*T2^5 + 2881*T1^6*T2^5 + 
      5316*T1^7*T2^5 - 8927*T1^8*T2^5 - 524*T1^9*T2^5 + 1322*T1^10*T2^5 + 
      12*T1^11*T2^5 - 138*T2^6 - 2061*T1*T2^6 + 4682*T1^2*T2^6 + 
      6258*T1^3*T2^6 - 9781*T1^4*T2^6 + 2881*T1^5*T2^6 + 5436*T1^6*T2^6 - 
      8169*T1^7*T2^6 + 4017*T1^8*T2^6 + 5238*T1^9*T2^6 - 2206*T1^10*T2^6 - 
      171*T1^11*T2^6 + 24*T1^12*T2^6 + 552*T1*T2^7 + 1232*T1^2*T2^7 - 
      8354*T1^3*T2^7 + 3913*T1^4*T2^7 + 5316*T1^5*T2^7 - 8169*T1^6*T2^7 + 
      3421*T1^7*T2^7 + 3721*T1^8*T2^7 - 7787*T1^9*T2^7 + 1651*T1^10*T2^7 + 
      692*T1^11*T2^7 - 123*T1^12*T2^7 - 799*T1^2*T2^8 + 760*T1^3*T2^8 + 
      5784*T1^4*T2^8 - 8927*T1^5*T2^8 + 4017*T1^6*T2^8 + 3721*T1^7*T2^8 - 
      7935*T1^8*T2^8 + 6193*T1^9*T2^8 + 126*T1^10*T2^8 - 1310*T1^11*T2^8 + 
      245*T1^12*T2^8 + 647*T1^3*T2^9 - 1850*T1^4*T2^9 - 524*T1^5*T2^9 + 
      5238*T1^6*T2^9 - 7787*T1^7*T2^9 + 6193*T1^8*T2^9 - 1932*T1^9*T2^9 - 
      1829*T1^10*T2^9 + 1570*T1^11*T2^9 - 298*T1^12*T2^9 - 277*T1^4*T2^10 + 
      1322*T1^5*T2^10 - 2206*T1^6*T2^10 + 1651*T1^7*T2^10 + 126*T1^8*T2^10 - 
      1829*T1^9*T2^10 + 2318*T1^10*T2^10 - 1288*T1^11*T2^10 + 
      245*T1^12*T2^10 + 12*T1^5*T2^11 - 171*T1^6*T2^11 + 692*T1^7*T2^11 - 
      1310*T1^8*T2^11 + 1570*T1^9*T2^11 - 1288*T1^10*T2^11 + 
      639*T1^11*T2^11 - 123*T1^12*T2^11 + 24*T1^6*T2^12 - 123*T1^7*T2^12 + 
      245*T1^8*T2^12 - 298*T1^9*T2^12 + 245*T1^10*T2^12 - 123*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 345] -> {-((5 - 23*T + 35*T^2 - 23*T^3 + 5*T^4)/T^2), 
   -((-415 + 1904*T1 - 2887*T1^2 + 1904*T1^3 - 415*T1^4 + 1904*T2 - 
      7411*T1*T2 + 7163*T1^2*T2 + 493*T1^3*T2 - 4191*T1^4*T2 + 1329*T1^5*T2 - 
      2887*T2^2 + 7163*T1*T2^2 + 6550*T1^2*T2^2 - 23624*T1^3*T2^2 + 
      17050*T1^4*T2^2 - 887*T1^5*T2^2 - 1137*T1^6*T2^2 + 1904*T2^3 + 
      493*T1*T2^3 - 23624*T1^2*T2^3 + 31594*T1^3*T2^3 - 5436*T1^4*T2^3 - 
      13159*T1^5*T2^3 + 4403*T1^6*T2^3 + 179*T1^7*T2^3 - 415*T2^4 - 
      4191*T1*T2^4 + 17050*T1^2*T2^4 - 5436*T1^3*T2^4 - 22704*T1^4*T2^4 + 
      24004*T1^5*T2^4 - 3784*T1^6*T2^4 - 1201*T1^7*T2^4 + 85*T1^8*T2^4 + 
      1329*T1*T2^5 - 887*T1^2*T2^5 - 13159*T1^3*T2^5 + 24004*T1^4*T2^5 - 
      13026*T1^5*T2^5 - 2694*T1^6*T2^5 + 3023*T1^7*T2^5 - 396*T1^8*T2^5 - 
      1137*T1^2*T2^6 + 4403*T1^3*T2^6 - 3784*T1^4*T2^6 - 2694*T1^5*T2^6 + 
      6716*T1^6*T2^6 - 3647*T1^7*T2^6 + 613*T1^8*T2^6 + 179*T1^3*T2^7 - 
      1201*T1^4*T2^7 + 3023*T1^5*T2^7 - 3647*T1^6*T2^7 + 2019*T1^7*T2^7 - 
      396*T1^8*T2^7 + 85*T1^4*T2^8 - 396*T1^5*T2^8 + 613*T1^6*T2^8 - 
      396*T1^7*T2^8 + 85*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 346] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 72*T1^2 + 108*T1^3 - 126*T1^4 + 108*T1^5 - 72*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 235*T1^2*T2 - 240*T1^3*T2 + 
     180*T1^4*T2 - 15*T1^5*T2 - 90*T1^6*T2 + 150*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 72*T2^2 + 235*T1*T2^2 - 285*T1^2*T2^2 + 28*T1^3*T2^2 + 
     181*T1^4*T2^2 - 485*T1^5*T2^2 + 397*T1^6*T2^2 - 284*T1^7*T2^2 - 
     21*T1^8*T2^2 + 115*T1^9*T2^2 - 48*T1^10*T2^2 + 108*T2^3 - 240*T1*T2^3 + 
     28*T1^2*T2^3 + 534*T1^3*T2^3 - 567*T1^4*T2^3 + 689*T1^5*T2^3 - 
     31*T1^6*T2^3 - 171*T1^7*T2^3 + 540*T1^8*T2^3 - 260*T1^9*T2^3 - 
     30*T1^10*T2^3 + 54*T1^11*T2^3 - 126*T2^4 + 180*T1*T2^4 + 181*T1^2*T2^4 - 
     567*T1^3*T2^4 - 85*T1^4*T2^4 + 207*T1^5*T2^4 - 1145*T1^6*T2^4 + 
     735*T1^7*T2^4 - 745*T1^8*T2^4 - 99*T1^9*T2^4 + 289*T1^10*T2^4 - 
     60*T1^11*T2^4 - 42*T1^12*T2^4 + 108*T2^5 - 15*T1*T2^5 - 485*T1^2*T2^5 + 
     689*T1^3*T2^5 + 207*T1^4*T2^5 + 21*T1^5*T2^5 + 735*T1^6*T2^5 + 
     231*T1^7*T2^5 + 21*T1^8*T2^5 + 630*T1^9*T2^5 - 175*T1^10*T2^5 - 
     206*T1^11*T2^5 + 120*T1^12*T2^5 + 18*T1^13*T2^5 - 72*T2^6 - 90*T1*T2^6 + 
     397*T1^2*T2^6 - 31*T1^3*T2^6 - 1145*T1^4*T2^6 + 735*T1^5*T2^6 - 
     1333*T1^6*T2^6 + 141*T1^7*T2^6 - 685*T1^8*T2^6 + 87*T1^9*T2^6 - 
     569*T1^10*T2^6 + 473*T1^11*T2^6 - 35*T1^12*T2^6 - 90*T1^13*T2^6 + 
     30*T2^7 + 150*T1*T2^7 - 284*T1^2*T2^7 - 171*T1^3*T2^7 + 735*T1^4*T2^7 + 
     231*T1^5*T2^7 + 141*T1^6*T2^7 + 627*T1^7*T2^7 + 435*T1^8*T2^7 - 
     87*T1^9*T2^7 + 447*T1^10*T2^7 - 108*T1^11*T2^7 - 279*T1^12*T2^7 + 
     148*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     21*T1^2*T2^8 + 540*T1^3*T2^8 - 745*T1^4*T2^8 + 21*T1^5*T2^8 - 
     685*T1^6*T2^8 + 435*T1^7*T2^8 - 1140*T1^8*T2^8 + 389*T1^9*T2^8 - 
     193*T1^10*T2^8 - 213*T1^11*T2^8 + 395*T1^12*T2^8 - 36*T1^13*T2^8 - 
     99*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     115*T1^2*T2^9 - 260*T1^3*T2^9 - 99*T1^4*T2^9 + 630*T1^5*T2^9 + 
     87*T1^6*T2^9 - 87*T1^7*T2^9 + 389*T1^8*T2^9 + 197*T1^9*T2^9 - 
     315*T1^10*T2^9 + 303*T1^11*T2^9 - 213*T1^12*T2^9 - 207*T1^13*T2^9 + 
     172*T1^14*T2^9 - 10*T1^15*T2^9 - 10*T1^16*T2^9 - 48*T1^2*T2^10 - 
     30*T1^3*T2^10 + 289*T1^4*T2^10 - 175*T1^5*T2^10 - 569*T1^6*T2^10 + 
     447*T1^7*T2^10 - 193*T1^8*T2^10 - 315*T1^9*T2^10 + 455*T1^10*T2^10 - 
     201*T1^11*T2^10 + 7*T1^12*T2^10 + 329*T1^13*T2^10 - 143*T1^14*T2^10 - 
     30*T1^15*T2^10 + 24*T1^16*T2^10 + 54*T1^3*T2^11 - 60*T1^4*T2^11 - 
     206*T1^5*T2^11 + 473*T1^6*T2^11 - 108*T1^7*T2^11 - 213*T1^8*T2^11 + 
     303*T1^9*T2^11 - 201*T1^10*T2^11 - 213*T1^11*T2^11 + 315*T1^12*T2^11 - 
     391*T1^13*T2^11 + 73*T1^14*T2^11 + 75*T1^15*T2^11 - 36*T1^16*T2^11 - 
     42*T1^4*T2^12 + 120*T1^5*T2^12 - 35*T1^6*T2^12 - 279*T1^7*T2^12 + 
     395*T1^8*T2^12 - 213*T1^9*T2^12 + 7*T1^10*T2^12 + 315*T1^11*T2^12 - 
     265*T1^12*T2^12 + 189*T1^13*T2^12 + 73*T1^14*T2^12 - 120*T1^15*T2^12 + 
     42*T1^16*T2^12 + 18*T1^5*T2^13 - 90*T1^6*T2^13 + 148*T1^7*T2^13 - 
     36*T1^8*T2^13 - 207*T1^9*T2^13 + 329*T1^10*T2^13 - 391*T1^11*T2^13 + 
     189*T1^12*T2^13 - 30*T1^13*T2^13 - 140*T1^14*T2^13 + 120*T1^15*T2^13 - 
     36*T1^16*T2^13 + 25*T1^7*T2^14 - 99*T1^8*T2^14 + 172*T1^9*T2^14 - 
     143*T1^10*T2^14 + 73*T1^11*T2^14 + 73*T1^12*T2^14 - 140*T1^13*T2^14 + 
     165*T1^14*T2^14 - 95*T1^15*T2^14 + 24*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 10*T1^9*T2^15 - 30*T1^10*T2^15 + 75*T1^11*T2^15 - 
     120*T1^12*T2^15 + 120*T1^13*T2^15 - 95*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 24*T1^10*T2^16 - 
     36*T1^11*T2^16 + 42*T1^12*T2^16 - 36*T1^13*T2^16 + 24*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 347] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-33 + 181*T1 - 428*T1^2 + 543*T1^3 - 428*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1597*T1^2*T2 - 1203*T1^3*T2 + 95*T1^4*T2 + 
     783*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 428*T2^2 + 1597*T1*T2^2 - 
     1660*T1^2*T2^2 - 1470*T1^3*T2^2 + 3944*T1^4*T2^2 - 3758*T1^5*T2^2 + 
     836*T1^6*T2^2 + 453*T1^7*T2^2 - 220*T1^8*T2^2 + 543*T2^3 - 
     1203*T1*T2^3 - 1470*T1^2*T2^3 + 7612*T1^3*T2^3 - 7435*T1^4*T2^3 + 
     2113*T1^5*T2^3 + 3960*T1^6*T2^3 - 2900*T1^7*T2^3 + 403*T1^8*T2^3 + 
     147*T1^9*T2^3 - 428*T2^4 + 95*T1*T2^4 + 3944*T1^2*T2^4 - 
     7435*T1^3*T2^4 - 870*T1^4*T2^4 + 9968*T1^5*T2^4 - 11850*T1^6*T2^4 + 
     3125*T1^7*T2^4 + 1366*T1^8*T2^4 - 741*T1^9*T2^4 - 12*T1^10*T2^4 + 
     181*T2^5 + 783*T1*T2^5 - 3758*T1^2*T2^5 + 2113*T1^3*T2^5 + 
     9968*T1^4*T2^5 - 13964*T1^5*T2^5 + 6342*T1^6*T2^5 + 5392*T1^7*T2^5 - 
     5411*T1^8*T2^5 + 1104*T1^9*T2^5 + 277*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 836*T1^2*T2^6 + 3960*T1^3*T2^6 - 
     11850*T1^4*T2^6 + 6342*T1^5*T2^6 + 6252*T1^6*T2^6 - 12050*T1^7*T2^6 + 
     5250*T1^8*T2^6 + 880*T1^9*T2^6 - 1160*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 453*T1^2*T2^7 - 2900*T1^3*T2^7 + 
     3125*T1^4*T2^7 + 5392*T1^5*T2^7 - 12050*T1^6*T2^7 + 8256*T1^7*T2^7 + 
     816*T1^8*T2^7 - 4399*T1^9*T2^7 + 1962*T1^10*T2^7 - 53*T1^11*T2^7 - 
     83*T1^12*T2^7 - 220*T1^2*T2^8 + 403*T1^3*T2^8 + 1366*T1^4*T2^8 - 
     5411*T1^5*T2^8 + 5250*T1^6*T2^8 + 816*T1^7*T2^8 - 5730*T1^8*T2^8 + 
     5149*T1^9*T2^8 - 1212*T1^10*T2^8 - 433*T1^11*T2^8 + 196*T1^12*T2^8 + 
     147*T1^3*T2^9 - 741*T1^4*T2^9 + 1104*T1^5*T2^9 + 880*T1^6*T2^9 - 
     4399*T1^7*T2^9 + 5149*T1^8*T2^9 - 2772*T1^9*T2^9 - 326*T1^10*T2^9 + 
     865*T1^11*T2^9 - 249*T1^12*T2^9 - 12*T1^4*T2^10 + 277*T1^5*T2^10 - 
     1160*T1^6*T2^10 + 1962*T1^7*T2^10 - 1212*T1^8*T2^10 - 326*T1^9*T2^10 + 
     1336*T1^10*T2^10 - 867*T1^11*T2^10 + 196*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 53*T1^7*T2^11 - 433*T1^8*T2^11 + 865*T1^9*T2^11 - 
     867*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 196*T1^8*T2^12 - 249*T1^9*T2^12 + 196*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 348] -> 
  {((1 - 3*T + T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 114*T1^2 + 174*T1^3 - 198*T1^4 + 174*T1^5 - 114*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 553*T1^2*T2 - 553*T1^3*T2 + 
     371*T1^4*T2 - 63*T1^5*T2 - 217*T1^6*T2 + 371*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 114*T2^2 + 553*T1*T2^2 - 529*T1^2*T2^2 - 810*T1^3*T2^2 + 
     1893*T1^4*T2^2 - 2569*T1^5*T2^2 + 2425*T1^6*T2^2 - 1646*T1^7*T2^2 + 
     155*T1^8*T2^2 + 287*T1^9*T2^2 - 76*T1^10*T2^2 + 174*T2^3 - 553*T1*T2^3 - 
     810*T1^2*T2^3 + 3944*T1^3*T2^3 - 4078*T1^4*T2^3 + 3137*T1^5*T2^3 - 
     933*T1^6*T2^3 - 1174*T1^7*T2^3 + 3096*T1^8*T2^3 - 1399*T1^9*T2^3 - 
     77*T1^10*T2^3 + 87*T1^11*T2^3 - 198*T2^4 + 371*T1*T2^4 + 
     1893*T1^2*T2^4 - 4078*T1^3*T2^4 - 253*T1^4*T2^4 + 3218*T1^5*T2^4 - 
     5855*T1^6*T2^4 + 5998*T1^7*T2^4 - 4961*T1^8*T2^4 - 598*T1^9*T2^4 + 
     1559*T1^10*T2^4 - 147*T1^11*T2^4 - 66*T1^12*T2^4 + 174*T2^5 - 
     63*T1*T2^5 - 2569*T1^2*T2^5 + 3137*T1^3*T2^5 + 3218*T1^4*T2^5 - 
     3519*T1^5*T2^5 + 3513*T1^6*T2^5 - 1155*T1^7*T2^5 - 441*T1^8*T2^5 + 
     4897*T1^9*T2^5 - 1417*T1^10*T2^5 - 1024*T1^11*T2^5 + 259*T1^12*T2^5 + 
     29*T1^13*T2^5 - 114*T2^6 - 217*T1*T2^6 + 2425*T1^2*T2^6 - 
     933*T1^3*T2^6 - 5855*T1^4*T2^6 + 3513*T1^5*T2^6 - 3010*T1^6*T2^6 + 
     1252*T1^7*T2^6 - 1266*T1^8*T2^6 - 1397*T1^9*T2^6 - 3069*T1^10*T2^6 + 
     2411*T1^11*T2^6 + 161*T1^12*T2^6 - 203*T1^13*T2^6 + 42*T2^7 + 
     371*T1*T2^7 - 1646*T1^2*T2^7 - 1174*T1^3*T2^7 + 5998*T1^4*T2^7 - 
     1155*T1^5*T2^7 + 1252*T1^6*T2^7 - 1142*T1^7*T2^7 + 1970*T1^8*T2^7 + 
     87*T1^9*T2^7 + 3029*T1^10*T2^7 - 85*T1^11*T2^7 - 1774*T1^12*T2^7 + 
     425*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 
     155*T1^2*T2^8 + 3096*T1^3*T2^8 - 4961*T1^4*T2^8 - 441*T1^5*T2^8 - 
     1266*T1^6*T2^8 + 1970*T1^7*T2^8 - 1404*T1^8*T2^8 - 1014*T1^9*T2^8 - 
     436*T1^10*T2^8 - 2571*T1^11*T2^8 + 2439*T1^12*T2^8 + 24*T1^13*T2^8 - 
     307*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     287*T1^2*T2^9 - 1399*T1^3*T2^9 - 598*T1^4*T2^9 + 4897*T1^5*T2^9 - 
     1397*T1^6*T2^9 + 87*T1^7*T2^9 - 1014*T1^8*T2^9 + 2098*T1^9*T2^9 - 
     1078*T1^10*T2^9 + 2787*T1^11*T2^9 - 1186*T1^12*T2^9 - 1198*T1^13*T2^9 + 
     672*T1^14*T2^9 - 35*T1^15*T2^9 - 14*T1^16*T2^9 - 76*T1^2*T2^10 - 
     77*T1^3*T2^10 + 1559*T1^4*T2^10 - 1417*T1^5*T2^10 - 3069*T1^6*T2^10 + 
     3029*T1^7*T2^10 - 436*T1^8*T2^10 - 1078*T1^9*T2^10 + 1308*T1^10*T2^10 - 
     1881*T1^11*T2^10 - 283*T1^12*T2^10 + 1927*T1^13*T2^10 - 
     705*T1^14*T2^10 - 63*T1^15*T2^10 + 38*T1^16*T2^10 + 87*T1^3*T2^11 - 
     147*T1^4*T2^11 - 1024*T1^5*T2^11 + 2411*T1^6*T2^11 - 85*T1^7*T2^11 - 
     2571*T1^8*T2^11 + 2787*T1^9*T2^11 - 1881*T1^10*T2^11 + 507*T1^11*T2^11 + 
     1594*T1^12*T2^11 - 2143*T1^13*T2^11 + 521*T1^14*T2^11 + 
     175*T1^15*T2^11 - 58*T1^16*T2^11 - 66*T1^4*T2^12 + 259*T1^5*T2^12 + 
     161*T1^6*T2^12 - 1774*T1^7*T2^12 + 2439*T1^8*T2^12 - 1186*T1^9*T2^12 - 
     283*T1^10*T2^12 + 1594*T1^11*T2^12 - 2269*T1^12*T2^12 + 
     1706*T1^13*T2^12 - 173*T1^14*T2^12 - 259*T1^15*T2^12 + 66*T1^16*T2^12 + 
     29*T1^5*T2^13 - 203*T1^6*T2^13 + 425*T1^7*T2^13 + 24*T1^8*T2^13 - 
     1198*T1^9*T2^13 + 1927*T1^10*T2^13 - 2143*T1^11*T2^13 + 
     1706*T1^12*T2^13 - 824*T1^13*T2^13 - 164*T1^14*T2^13 + 273*T1^15*T2^13 - 
     58*T1^16*T2^13 + 49*T1^7*T2^14 - 307*T1^8*T2^14 + 672*T1^9*T2^14 - 
     705*T1^10*T2^14 + 521*T1^11*T2^14 - 173*T1^12*T2^14 - 164*T1^13*T2^14 + 
     377*T1^14*T2^14 - 217*T1^15*T2^14 + 38*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 35*T1^9*T2^15 - 63*T1^10*T2^15 + 175*T1^11*T2^15 - 
     259*T1^12*T2^15 + 273*T1^13*T2^15 - 217*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 38*T1^10*T2^16 - 
     58*T1^11*T2^16 + 66*T1^12*T2^16 - 58*T1^13*T2^16 + 38*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 349] -> 
  {((1 - 3*T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-33 + 231*T1 - 610*T1^2 + 807*T1^3 - 610*T1^4 + 231*T1^5 - 33*T1^6 + 
     231*T2 - 1442*T1*T2 + 3045*T1^2*T2 - 2415*T1^3*T2 - 7*T1^4*T2 + 
     1617*T1^5*T2 - 994*T1^6*T2 + 175*T1^7*T2 - 610*T2^2 + 3045*T1*T2^2 - 
     3023*T1^2*T2^2 - 5486*T1^3*T2^2 + 12813*T1^4*T2^2 - 10666*T1^5*T2^2 + 
     2157*T1^6*T2^2 + 973*T1^7*T2^2 - 314*T1^8*T2^2 + 807*T2^3 - 
     2415*T1*T2^3 - 5486*T1^2*T2^3 + 24742*T1^3*T2^3 - 25005*T1^4*T2^3 + 
     4549*T1^5*T2^3 + 13318*T1^6*T2^3 - 8076*T1^7*T2^3 + 665*T1^8*T2^3 + 
     219*T1^9*T2^3 - 610*T2^4 - 7*T1*T2^4 + 12813*T1^2*T2^4 - 
     25005*T1^3*T2^4 - 2850*T1^4*T2^4 + 38310*T1^5*T2^4 - 40510*T1^6*T2^4 + 
     8511*T1^7*T2^4 + 4557*T1^8*T2^4 - 1407*T1^9*T2^4 - 18*T1^10*T2^4 + 
     231*T2^5 + 1617*T1*T2^5 - 10666*T1^2*T2^5 + 4549*T1^3*T2^5 + 
     38310*T1^4*T2^5 - 55425*T1^5*T2^5 + 23479*T1^6*T2^5 + 19921*T1^7*T2^5 - 
     17081*T1^8*T2^5 + 2284*T1^9*T2^5 + 469*T1^10*T2^5 - 49*T1^11*T2^5 - 
     33*T2^6 - 994*T1*T2^6 + 2157*T1^2*T2^6 + 13318*T1^3*T2^6 - 
     40510*T1^4*T2^6 + 23479*T1^5*T2^6 + 23292*T1^6*T2^6 - 45247*T1^7*T2^6 + 
     17792*T1^8*T2^6 + 2818*T1^9*T2^6 - 2455*T1^10*T2^6 + 238*T1^11*T2^6 + 
     15*T1^12*T2^6 + 175*T1*T2^7 + 973*T1^2*T2^7 - 8076*T1^3*T2^7 + 
     8511*T1^4*T2^7 + 19921*T1^5*T2^7 - 45247*T1^6*T2^7 + 33657*T1^7*T2^7 + 
     1532*T1^8*T2^7 - 13119*T1^9*T2^7 + 4874*T1^10*T2^7 - 175*T1^11*T2^7 - 
     105*T1^12*T2^7 - 314*T1^2*T2^8 + 665*T1^3*T2^8 + 4557*T1^4*T2^8 - 
     17081*T1^5*T2^8 + 17792*T1^6*T2^8 + 1532*T1^7*T2^8 - 19868*T1^8*T2^8 + 
     16435*T1^9*T2^8 - 3699*T1^10*T2^8 - 735*T1^11*T2^8 + 278*T1^12*T2^8 + 
     219*T1^3*T2^9 - 1407*T1^4*T2^9 + 2284*T1^5*T2^9 + 2818*T1^6*T2^9 - 
     13119*T1^7*T2^9 + 16435*T1^8*T2^9 - 8606*T1^9*T2^9 - 306*T1^10*T2^9 + 
     1673*T1^11*T2^9 - 369*T1^12*T2^9 - 18*T1^4*T2^10 + 469*T1^5*T2^10 - 
     2455*T1^6*T2^10 + 4874*T1^7*T2^10 - 3699*T1^8*T2^10 - 306*T1^9*T2^10 + 
     2725*T1^10*T2^10 - 1603*T1^11*T2^10 + 278*T1^12*T2^10 - 49*T1^5*T2^11 + 
     238*T1^6*T2^11 - 175*T1^7*T2^11 - 735*T1^8*T2^11 + 1673*T1^9*T2^11 - 
     1603*T1^10*T2^11 + 686*T1^11*T2^11 - 105*T1^12*T2^11 + 15*T1^6*T2^12 - 
     105*T1^7*T2^12 + 278*T1^8*T2^12 - 369*T1^9*T2^12 + 278*T1^10*T2^12 - 
     105*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 350] -> 
  {((1 - 3*T + T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 156*T1^3 - 196*T1^4 + 156*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 651*T1^3*T2 + 
     553*T1^4*T2 - 63*T1^5*T2 - 231*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 779*T1^2*T2^2 + 493*T1^3*T2^2 + 
     712*T1^4*T2^2 - 2259*T1^5*T2^2 + 1888*T1^6*T2^2 - 851*T1^7*T2^2 + 
     61*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 156*T2^3 - 651*T1*T2^3 + 
     493*T1^2*T2^3 + 1110*T1^3*T2^3 - 3569*T1^4*T2^3 + 4835*T1^5*T2^3 - 
     1081*T1^6*T2^3 - 1301*T1^7*T2^3 + 1674*T1^8*T2^3 - 788*T1^9*T2^3 + 
     21*T1^10*T2^3 + 39*T1^11*T2^3 - 196*T2^4 + 553*T1*T2^4 + 712*T1^2*T2^4 - 
     3569*T1^3*T2^4 + 5702*T1^4*T2^4 - 4105*T1^5*T2^4 - 4328*T1^6*T2^4 + 
     4911*T1^7*T2^4 - 2362*T1^8*T2^4 - 293*T1^9*T2^4 + 1006*T1^10*T2^4 - 
     273*T1^11*T2^4 + 156*T2^5 - 63*T1*T2^5 - 2259*T1^2*T2^5 + 
     4835*T1^3*T2^5 - 4105*T1^4*T2^5 - 1663*T1^5*T2^5 + 11459*T1^6*T2^5 - 
     4333*T1^7*T2^5 - 2347*T1^8*T2^5 + 4568*T1^9*T2^5 - 2617*T1^10*T2^5 + 
     30*T1^11*T2^5 + 273*T1^12*T2^5 - 39*T1^13*T2^5 - 84*T2^6 - 231*T1*T2^6 + 
     1888*T1^2*T2^6 - 1081*T1^3*T2^6 - 4328*T1^4*T2^6 + 11459*T1^5*T2^6 - 
     14197*T1^6*T2^6 - 4333*T1^7*T2^6 + 11003*T1^8*T2^6 - 6895*T1^9*T2^6 + 
     418*T1^10*T2^6 + 2531*T1^11*T2^6 - 1052*T1^12*T2^6 - 21*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 851*T1^2*T2^7 - 1301*T1^3*T2^7 + 
     4911*T1^4*T2^7 - 4333*T1^5*T2^7 - 4333*T1^6*T2^7 + 23612*T1^7*T2^7 - 
     17324*T1^8*T2^7 + 1106*T1^9*T2^7 + 6335*T1^10*T2^7 - 5134*T1^11*T2^7 + 
     463*T1^12*T2^7 + 808*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 61*T1^2*T2^8 + 1674*T1^3*T2^8 - 2362*T1^4*T2^8 - 
     2347*T1^5*T2^8 + 11003*T1^6*T2^8 - 17324*T1^7*T2^8 - 624*T1^8*T2^8 + 
     17228*T1^9*T2^8 - 12967*T1^10*T2^8 + 3791*T1^11*T2^8 + 2314*T1^12*T2^8 - 
     1770*T1^13*T2^8 - 65*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 788*T1^3*T2^9 - 293*T1^4*T2^9 + 
     4568*T1^5*T2^9 - 6895*T1^6*T2^9 + 1106*T1^7*T2^9 + 17228*T1^8*T2^9 - 
     23708*T1^9*T2^9 + 6545*T1^10*T2^9 + 3773*T1^11*T2^9 - 5477*T1^12*T2^9 + 
     1471*T1^13*T2^9 + 871*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 21*T1^3*T2^10 + 1006*T1^4*T2^10 - 2617*T1^5*T2^10 + 
     418*T1^6*T2^10 + 6335*T1^7*T2^10 - 12967*T1^8*T2^10 + 6545*T1^9*T2^10 + 
     12233*T1^10*T2^10 - 12019*T1^11*T2^10 + 5164*T1^12*T2^10 + 
     995*T1^13*T2^10 - 1934*T1^14*T2^10 + 231*T1^15*T2^10 + 84*T1^16*T2^10 + 
     39*T1^3*T2^11 - 273*T1^4*T2^11 + 30*T1^5*T2^11 + 2531*T1^6*T2^11 - 
     5134*T1^7*T2^11 + 3791*T1^8*T2^11 + 3773*T1^9*T2^11 - 
     12019*T1^10*T2^11 + 3107*T1^11*T2^11 + 3539*T1^12*T2^11 - 
     4921*T1^13*T2^11 + 2319*T1^14*T2^11 + 63*T1^15*T2^11 - 156*T1^16*T2^11 + 
     273*T1^5*T2^12 - 1052*T1^6*T2^12 + 463*T1^7*T2^12 + 2314*T1^8*T2^12 - 
     5477*T1^9*T2^12 + 5164*T1^10*T2^12 + 3539*T1^11*T2^12 - 
     5750*T1^12*T2^12 + 3739*T1^13*T2^12 - 758*T1^14*T2^12 - 
     553*T1^15*T2^12 + 196*T1^16*T2^12 - 39*T1^5*T2^13 - 21*T1^6*T2^13 + 
     808*T1^7*T2^13 - 1770*T1^8*T2^13 + 1471*T1^9*T2^13 + 995*T1^10*T2^13 - 
     4921*T1^11*T2^13 + 3739*T1^12*T2^13 - 1206*T1^13*T2^13 - 
     473*T1^14*T2^13 + 651*T1^15*T2^13 - 156*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 65*T1^8*T2^14 + 871*T1^9*T2^14 - 1934*T1^10*T2^14 + 
     2319*T1^11*T2^14 - 758*T1^12*T2^14 - 473*T1^13*T2^14 + 775*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 231*T1^10*T2^15 + 63*T1^11*T2^15 - 553*T1^12*T2^15 + 
     651*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 156*T1^11*T2^16 + 
     196*T1^12*T2^16 - 156*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, Alternating, 351] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 136*T1^3 - 164*T1^4 + 136*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 532*T1^3*T2 + 
     434*T1^4*T2 - 91*T1^5*T2 - 154*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 614*T1^2*T2^2 + 73*T1^3*T2^2 + 
     892*T1^4*T2^2 - 1914*T1^5*T2^2 + 1732*T1^6*T2^2 - 1007*T1^7*T2^2 + 
     146*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 136*T2^3 - 532*T1*T2^3 + 
     73*T1^2*T2^3 + 1800*T1^3*T2^3 - 3267*T1^4*T2^3 + 3717*T1^5*T2^3 - 
     1275*T1^6*T2^3 - 603*T1^7*T2^3 + 1590*T1^8*T2^3 - 847*T1^9*T2^3 + 
     42*T1^10*T2^3 + 34*T1^11*T2^3 - 164*T2^4 + 434*T1*T2^4 + 892*T1^2*T2^4 - 
     3267*T1^3*T2^4 + 3223*T1^4*T2^4 - 1542*T1^5*T2^4 - 3277*T1^6*T2^4 + 
     4026*T1^7*T2^4 - 3069*T1^8*T2^4 + 201*T1^9*T2^4 + 840*T1^10*T2^4 - 
     238*T1^11*T2^4 + 136*T2^5 - 91*T1*T2^5 - 1914*T1^2*T2^5 + 
     3717*T1^3*T2^5 - 1542*T1^4*T2^5 - 1269*T1^5*T2^5 + 5962*T1^6*T2^5 - 
     3134*T1^7*T2^5 + 73*T1^8*T2^5 + 3263*T1^9*T2^5 - 2283*T1^10*T2^5 + 
     33*T1^11*T2^5 + 238*T1^12*T2^5 - 34*T1^13*T2^5 - 80*T2^6 - 154*T1*T2^6 + 
     1732*T1^2*T2^6 - 1275*T1^3*T2^6 - 3277*T1^4*T2^6 + 5962*T1^5*T2^6 - 
     7939*T1^6*T2^6 + 793*T1^7*T2^6 + 3077*T1^8*T2^6 - 4318*T1^9*T2^6 + 
     435*T1^10*T2^6 + 2205*T1^11*T2^6 - 892*T1^12*T2^6 - 42*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 1007*T1^2*T2^7 - 603*T1^3*T2^7 + 
     4026*T1^4*T2^7 - 3134*T1^5*T2^7 + 793*T1^6*T2^7 + 6711*T1^7*T2^7 - 
     6187*T1^8*T2^7 + 1669*T1^9*T2^7 + 3594*T1^10*T2^7 - 3831*T1^11*T2^7 - 
     51*T1^12*T2^7 + 873*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 146*T1^2*T2^8 + 1590*T1^3*T2^8 - 3069*T1^4*T2^8 + 
     73*T1^5*T2^8 + 3077*T1^6*T2^8 - 6187*T1^7*T2^8 + 1368*T1^8*T2^8 + 
     4695*T1^9*T2^8 - 5183*T1^10*T2^8 + 1383*T1^11*T2^8 + 3079*T1^12*T2^8 - 
     1690*T1^13*T2^8 - 152*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 847*T1^3*T2^9 + 201*T1^4*T2^9 + 
     3263*T1^5*T2^9 - 4318*T1^6*T2^9 + 1669*T1^7*T2^9 + 4695*T1^8*T2^9 - 
     8203*T1^9*T2^9 + 2545*T1^10*T2^9 + 2410*T1^11*T2^9 - 4594*T1^12*T2^9 + 
     753*T1^13*T2^9 + 1033*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 42*T1^3*T2^10 + 840*T1^4*T2^10 - 2283*T1^5*T2^10 + 
     435*T1^6*T2^10 + 3594*T1^7*T2^10 - 5183*T1^8*T2^10 + 2545*T1^9*T2^10 + 
     5833*T1^10*T2^10 - 6686*T1^11*T2^10 + 4147*T1^12*T2^10 + 
     1197*T1^13*T2^10 - 1784*T1^14*T2^10 + 154*T1^15*T2^10 + 80*T1^16*T2^10 + 
     34*T1^3*T2^11 - 238*T1^4*T2^11 + 33*T1^5*T2^11 + 2205*T1^6*T2^11 - 
     3831*T1^7*T2^11 + 1383*T1^8*T2^11 + 2410*T1^9*T2^11 - 6686*T1^10*T2^11 + 
     2725*T1^11*T2^11 + 974*T1^12*T2^11 - 3795*T1^13*T2^11 + 
     1980*T1^14*T2^11 + 91*T1^15*T2^11 - 136*T1^16*T2^11 + 238*T1^5*T2^12 - 
     892*T1^6*T2^12 - 51*T1^7*T2^12 + 3079*T1^8*T2^12 - 4594*T1^9*T2^12 + 
     4147*T1^10*T2^12 + 974*T1^11*T2^12 - 3213*T1^12*T2^12 + 
     3417*T1^13*T2^12 - 944*T1^14*T2^12 - 434*T1^15*T2^12 + 164*T1^16*T2^12 - 
     34*T1^5*T2^13 - 42*T1^6*T2^13 + 873*T1^7*T2^13 - 1690*T1^8*T2^13 + 
     753*T1^9*T2^13 + 1197*T1^10*T2^13 - 3795*T1^11*T2^13 + 
     3417*T1^12*T2^13 - 1900*T1^13*T2^13 - 47*T1^14*T2^13 + 532*T1^15*T2^13 - 
     136*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 152*T1^8*T2^14 + 
     1033*T1^9*T2^14 - 1784*T1^10*T2^14 + 1980*T1^11*T2^14 - 
     944*T1^12*T2^14 - 47*T1^13*T2^14 + 608*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     154*T1^10*T2^15 + 91*T1^11*T2^15 - 434*T1^12*T2^15 + 532*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 136*T1^11*T2^16 + 164*T1^12*T2^16 - 
     136*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, Alternating, 352] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (-31 + 201*T1 - 494*T1^2 + 633*T1^3 - 494*T1^4 + 201*T1^5 - 31*T1^6 + 
     201*T2 - 1154*T1*T2 + 2237*T1^2*T2 - 1733*T1^3*T2 + 165*T1^4*T2 + 
     1067*T1^5*T2 - 764*T1^6*T2 + 149*T1^7*T2 - 494*T2^2 + 2237*T1*T2^2 - 
     1889*T1^2*T2^2 - 3620*T1^3*T2^2 + 7893*T1^4*T2^2 - 7204*T1^5*T2^2 + 
     1951*T1^6*T2^2 + 573*T1^7*T2^2 - 238*T1^8*T2^2 + 633*T2^3 - 
     1733*T1*T2^3 - 3620*T1^2*T2^3 + 14742*T1^3*T2^3 - 14686*T1^4*T2^3 + 
     4612*T1^5*T2^3 + 6600*T1^6*T2^3 - 5252*T1^7*T2^3 + 633*T1^8*T2^3 + 
     141*T1^9*T2^3 - 494*T2^4 + 165*T1*T2^4 + 7893*T1^2*T2^4 - 
     14686*T1^3*T2^4 + 485*T1^4*T2^4 + 16985*T1^5*T2^4 - 21683*T1^6*T2^4 + 
     6798*T1^7*T2^4 + 2227*T1^8*T2^4 - 1031*T1^9*T2^4 + 18*T1^10*T2^4 + 
     201*T2^5 + 1067*T1*T2^5 - 7204*T1^2*T2^5 + 4612*T1^3*T2^5 + 
     16985*T1^4*T2^5 - 26750*T1^5*T2^5 + 14816*T1^6*T2^5 + 7449*T1^7*T2^5 - 
     10314*T1^8*T2^5 + 2236*T1^9*T2^5 + 261*T1^10*T2^5 - 59*T1^11*T2^5 - 
     31*T2^6 - 764*T1*T2^6 + 1951*T1^2*T2^6 + 6600*T1^3*T2^6 - 
     21683*T1^4*T2^6 + 14816*T1^5*T2^6 + 8208*T1^6*T2^6 - 22560*T1^7*T2^6 + 
     12809*T1^8*T2^6 + 624*T1^9*T2^6 - 1973*T1^10*T2^6 + 276*T1^11*T2^6 + 
     17*T1^12*T2^6 + 149*T1*T2^7 + 573*T1^2*T2^7 - 5252*T1^3*T2^7 + 
     6798*T1^4*T2^7 + 7449*T1^5*T2^7 - 22560*T1^6*T2^7 + 19006*T1^7*T2^7 - 
     2087*T1^8*T2^7 - 8128*T1^9*T2^7 + 4188*T1^10*T2^7 - 233*T1^11*T2^7 - 
     111*T1^12*T2^7 - 238*T1^2*T2^8 + 633*T1^3*T2^8 + 2227*T1^4*T2^8 - 
     10314*T1^5*T2^8 + 12809*T1^6*T2^8 - 2087*T1^7*T2^8 - 9359*T1^8*T2^8 + 
     11170*T1^9*T2^8 - 3439*T1^10*T2^8 - 563*T1^11*T2^8 + 274*T1^12*T2^8 + 
     141*T1^3*T2^9 - 1031*T1^4*T2^9 + 2236*T1^5*T2^9 + 624*T1^6*T2^9 - 
     8128*T1^7*T2^9 + 11170*T1^8*T2^9 - 7518*T1^9*T2^9 + 604*T1^10*T2^9 + 
     1335*T1^11*T2^9 - 351*T1^12*T2^9 + 18*T1^4*T2^10 + 261*T1^5*T2^10 - 
     1973*T1^6*T2^10 + 4188*T1^7*T2^10 - 3439*T1^8*T2^10 + 604*T1^9*T2^10 + 
     1867*T1^10*T2^10 - 1403*T1^11*T2^10 + 274*T1^12*T2^10 - 59*T1^5*T2^11 + 
     276*T1^6*T2^11 - 233*T1^7*T2^11 - 563*T1^8*T2^11 + 1335*T1^9*T2^11 - 
     1403*T1^10*T2^11 + 666*T1^11*T2^11 - 111*T1^12*T2^11 + 17*T1^6*T2^12 - 
     111*T1^7*T2^12 + 274*T1^8*T2^12 - 351*T1^9*T2^12 + 274*T1^10*T2^12 - 
     111*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, Alternating, 353] -> 
  {((1 - T + T^2)*(5 - 10*T + 11*T^2 - 10*T^3 + 5*T^4))/T^3, 
   -((770 - 2280*T1 + 3935*T1^2 - 4688*T1^3 + 3935*T1^4 - 2280*T1^5 + 
      770*T1^6 - 2280*T2 + 4865*T1*T2 - 6050*T1^2*T2 + 4191*T1^3*T2 - 
      84*T1^4*T2 - 2975*T1^5*T2 + 3365*T1^6*T2 - 1905*T1^7*T2 + 3935*T2^2 - 
      6050*T1*T2^2 + 5858*T1^2*T2^2 - 2365*T1^3*T2^2 - 1564*T1^4*T2^2 + 
      1795*T1^5*T2^2 + 398*T1^6*T2^2 - 2150*T1^7*T2^2 + 2635*T1^8*T2^2 - 
      4688*T2^3 + 4191*T1*T2^3 - 2365*T1^2*T2^3 - 1445*T1^3*T2^3 + 
      3031*T1^4*T2^3 - 134*T1^5*T2^3 - 2195*T1^6*T2^3 + 1925*T1^7*T2^3 - 
      834*T1^8*T2^3 - 2363*T1^9*T2^3 + 3935*T2^4 - 84*T1*T2^4 - 
      1564*T1^2*T2^4 + 3031*T1^3*T2^4 - 638*T1^4*T2^4 - 3720*T1^5*T2^4 + 
      3322*T1^6*T2^4 - 379*T1^7*T2^4 - 1134*T1^8*T2^4 + 3066*T1^9*T2^4 + 
      1335*T1^10*T2^4 - 2280*T2^5 - 2975*T1*T2^5 + 1795*T1^2*T2^5 - 
      134*T1^3*T2^5 - 3720*T1^4*T2^5 + 5073*T1^5*T2^5 - 399*T1^6*T2^5 - 
      3044*T1^7*T2^5 + 2541*T1^8*T2^5 - 1975*T1^9*T2^5 - 2750*T1^10*T2^5 - 
      405*T1^11*T2^5 + 770*T2^6 + 3365*T1*T2^6 + 398*T1^2*T2^6 - 
      2195*T1^3*T2^6 + 3322*T1^4*T2^6 - 399*T1^5*T2^6 - 4824*T1^6*T2^6 + 
      4583*T1^7*T2^6 - 1070*T1^8*T2^6 - 665*T1^9*T2^6 + 3238*T1^10*T2^6 + 
      1115*T1^11*T2^6 + 20*T1^12*T2^6 - 1905*T1*T2^7 - 2150*T1^2*T2^7 + 
      1925*T1^3*T2^7 - 379*T1^4*T2^7 - 3044*T1^5*T2^7 + 4583*T1^6*T2^7 - 
      889*T1^7*T2^7 - 2368*T1^8*T2^7 + 2296*T1^9*T2^7 - 1845*T1^10*T2^7 - 
      1925*T1^11*T2^7 - 30*T1^12*T2^7 + 2635*T1^2*T2^8 - 834*T1^3*T2^8 - 
      1134*T1^4*T2^8 + 2541*T1^5*T2^8 - 1070*T1^6*T2^8 - 2368*T1^7*T2^8 + 
      2890*T1^8*T2^8 - 869*T1^9*T2^8 - 704*T1^10*T2^8 + 2316*T1^11*T2^8 + 
      35*T1^12*T2^8 - 2363*T1^3*T2^9 + 3066*T1^4*T2^9 - 1975*T1^5*T2^9 - 
      665*T1^6*T2^9 + 2296*T1^7*T2^9 - 869*T1^8*T2^9 - 1415*T1^9*T2^9 + 
      2315*T1^10*T2^9 - 1959*T1^11*T2^9 - 38*T1^12*T2^9 + 1335*T1^4*T2^10 - 
      2750*T1^5*T2^10 + 3238*T1^6*T2^10 - 1845*T1^7*T2^10 - 704*T1^8*T2^10 + 
      2315*T1^9*T2^10 - 2222*T1^10*T2^10 + 1150*T1^11*T2^10 + 
      35*T1^12*T2^10 - 405*T1^5*T2^11 + 1115*T1^6*T2^11 - 1925*T1^7*T2^11 + 
      2316*T1^8*T2^11 - 1959*T1^9*T2^11 + 1150*T1^10*T2^11 - 
      385*T1^11*T2^11 - 30*T1^12*T2^11 + 20*T1^6*T2^12 - 30*T1^7*T2^12 + 
      35*T1^8*T2^12 - 38*T1^9*T2^12 + 35*T1^10*T2^12 - 30*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 354] -> {((1 - T + T^2)*(9 - 17*T + 9*T^2))/T^2, 
   (-2*(1593 - 4543*T1 + 6094*T1^2 - 4543*T1^3 + 1593*T1^4 - 4543*T2 + 
      9501*T1*T2 - 7493*T1^2*T2 - 356*T1^3*T2 + 5406*T1^4*T2 - 3490*T1^5*T2 + 
      6094*T2^2 - 7493*T1*T2^2 - 1973*T1^2*T2^2 + 11893*T1^3*T2^2 - 
      10163*T1^4*T2^2 + 697*T1^5*T2^2 + 3259*T1^6*T2^2 - 4543*T2^3 - 
      356*T1*T2^3 + 11893*T1^2*T2^3 - 13662*T1^3*T2^3 + 1808*T1^4*T2^3 + 
      8253*T1^5*T2^3 - 5387*T1^6*T2^3 - 1384*T1^7*T2^3 + 1593*T2^4 + 
      5406*T1*T2^4 - 10163*T1^2*T2^4 + 1808*T1^3*T2^4 + 10812*T1^4*T2^4 - 
      11556*T1^5*T2^4 + 1743*T1^6*T2^4 + 3534*T1^7*T2^4 + 135*T1^8*T2^4 - 
      3490*T1*T2^5 + 697*T1^2*T2^5 + 8253*T1^3*T2^5 - 11556*T1^4*T2^5 + 
      3914*T1^5*T2^5 + 4613*T1^6*T2^5 - 4334*T1^7*T2^5 - 331*T1^8*T2^5 + 
      3259*T1^2*T2^6 - 5387*T1^3*T2^6 + 1743*T1^4*T2^6 + 4613*T1^5*T2^6 - 
      6447*T1^6*T2^6 + 2803*T1^7*T2^6 + 424*T1^8*T2^6 - 1384*T1^3*T2^7 + 
      3534*T1^4*T2^7 - 4334*T1^5*T2^7 + 2803*T1^6*T2^7 - 561*T1^7*T2^7 - 
      331*T1^8*T2^7 + 135*T1^4*T2^8 - 331*T1^5*T2^8 + 424*T1^6*T2^8 - 
      331*T1^7*T2^8 + 135*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 355] -> 
  {((1 - T + T^2)*(2 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + 2*T^6))/T^4, 
   -((65 - 129*T1 + 193*T1^2 - 225*T1^3 + 225*T1^4 - 225*T1^5 + 193*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 160*T1^2*T2 + 112*T1^3*T2 - 
      56*T1^4*T2 + 56*T1^5*T2 + 8*T1^6*T2 - 80*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 193*T2^2 - 160*T1*T2^2 + 258*T1^2*T2^2 - 262*T1^3*T2^2 + 
      286*T1^4*T2^2 - 354*T1^5*T2^2 + 262*T1^6*T2^2 - 190*T1^7*T2^2 + 
      162*T1^8*T2^2 - 64*T1^9*T2^2 + 145*T1^10*T2^2 - 225*T2^3 + 
      112*T1*T2^3 - 262*T1^2*T2^3 + 190*T1^3*T2^3 - 176*T1^4*T2^3 + 
      188*T1^5*T2^3 - 22*T1^6*T2^3 - 26*T1^7*T2^3 + 52*T1^8*T2^3 - 
      154*T1^9*T2^3 - 8*T1^10*T2^3 - 141*T1^11*T2^3 + 225*T2^4 - 56*T1*T2^4 + 
      286*T1^2*T2^4 - 176*T1^3*T2^4 + 219*T1^4*T2^4 - 249*T1^5*T2^4 + 
      109*T1^6*T2^4 - 137*T1^7*T2^4 + 107*T1^8*T2^4 - 8*T1^9*T2^4 + 
      174*T1^10*T2^4 + 56*T1^11*T2^4 + 113*T1^12*T2^4 - 225*T2^5 + 
      56*T1*T2^5 - 354*T1^2*T2^5 + 188*T1^3*T2^5 - 249*T1^4*T2^5 + 
      236*T1^5*T2^5 - 86*T1^6*T2^5 + 110*T1^7*T2^5 - 16*T1^8*T2^5 - 
      95*T1^9*T2^5 - 50*T1^10*T2^5 - 186*T1^11*T2^5 - 56*T1^12*T2^5 - 
      85*T1^13*T2^5 + 193*T2^6 + 8*T1*T2^6 + 262*T1^2*T2^6 - 22*T1^3*T2^6 + 
      109*T1^4*T2^6 - 86*T1^5*T2^6 - 40*T1^6*T2^6 - 4*T1^7*T2^6 - 
      76*T1^8*T2^6 + 110*T1^9*T2^6 + 53*T1^10*T2^6 + 146*T1^11*T2^6 + 
      110*T1^12*T2^6 + 72*T1^13*T2^6 + 49*T1^14*T2^6 - 129*T2^7 - 
      80*T1*T2^7 - 190*T1^2*T2^7 - 26*T1^3*T2^7 - 137*T1^4*T2^7 + 
      110*T1^5*T2^7 - 4*T1^6*T2^7 + 77*T1^7*T2^7 - 11*T1^8*T2^7 + T1^9*T2^7 - 
      86*T1^10*T2^7 - 123*T1^11*T2^7 - 104*T1^12*T2^7 - 82*T1^13*T2^7 - 
      64*T1^14*T2^7 - 17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 + 162*T1^2*T2^8 + 
      52*T1^3*T2^8 + 107*T1^4*T2^8 - 16*T1^5*T2^8 - 76*T1^6*T2^8 - 
      11*T1^7*T2^8 - 72*T1^8*T2^8 + 67*T1^9*T2^8 - 22*T1^10*T2^8 + 
      152*T1^11*T2^8 + 83*T1^12*T2^8 + 80*T1^13*T2^8 + 66*T1^14*T2^8 + 
      32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 - 64*T1^2*T2^9 - 
      154*T1^3*T2^9 - 8*T1^4*T2^9 - 95*T1^5*T2^9 + 110*T1^6*T2^9 + 
      T1^7*T2^9 + 67*T1^8*T2^9 - 21*T1^9*T2^9 + 6*T1^10*T2^9 - 
      86*T1^11*T2^9 - 81*T1^12*T2^9 - 86*T1^13*T2^9 - 46*T1^14*T2^9 - 
      48*T1^15*T2^9 - T1^16*T2^9 + 145*T1^2*T2^10 - 8*T1^3*T2^10 + 
      174*T1^4*T2^10 - 50*T1^5*T2^10 + 53*T1^6*T2^10 - 86*T1^7*T2^10 - 
      22*T1^8*T2^10 + 6*T1^9*T2^10 - 58*T1^10*T2^10 + 110*T1^11*T2^10 - 
      3*T1^12*T2^10 + 118*T1^13*T2^10 + 22*T1^14*T2^10 + 56*T1^15*T2^10 + 
      T1^16*T2^10 - 141*T1^3*T2^11 + 56*T1^4*T2^11 - 186*T1^5*T2^11 + 
      146*T1^6*T2^11 - 123*T1^7*T2^11 + 152*T1^8*T2^11 - 86*T1^9*T2^11 + 
      110*T1^10*T2^11 - 100*T1^11*T2^11 + 31*T1^12*T2^11 - 92*T1^13*T2^11 - 
      18*T1^14*T2^11 - 56*T1^15*T2^11 - T1^16*T2^11 + 113*T1^4*T2^12 - 
      56*T1^5*T2^12 + 110*T1^6*T2^12 - 104*T1^7*T2^12 + 83*T1^8*T2^12 - 
      81*T1^9*T2^12 - 3*T1^10*T2^12 + 31*T1^11*T2^12 - 29*T1^12*T2^12 + 
      64*T1^13*T2^12 - 2*T1^14*T2^12 + 56*T1^15*T2^12 + T1^16*T2^12 - 
      85*T1^5*T2^13 + 72*T1^6*T2^13 - 82*T1^7*T2^13 + 80*T1^8*T2^13 - 
      86*T1^9*T2^13 + 118*T1^10*T2^13 - 92*T1^11*T2^13 + 64*T1^12*T2^13 - 
      58*T1^13*T2^13 + 26*T1^14*T2^13 - 48*T1^15*T2^13 - T1^16*T2^13 + 
      49*T1^6*T2^14 - 64*T1^7*T2^14 + 66*T1^8*T2^14 - 46*T1^9*T2^14 + 
      22*T1^10*T2^14 - 18*T1^11*T2^14 - 2*T1^12*T2^14 + 26*T1^13*T2^14 - 
      30*T1^14*T2^14 + 32*T1^15*T2^14 + T1^16*T2^14 - 17*T1^7*T2^15 + 
      32*T1^8*T2^15 - 48*T1^9*T2^15 + 56*T1^10*T2^15 - 56*T1^11*T2^15 + 
      56*T1^12*T2^15 - 48*T1^13*T2^15 + 32*T1^14*T2^15 - 16*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^10*T2^16 - T1^11*T2^16 + 
      T1^12*T2^16 - T1^13*T2^16 + T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 356] -> 
  {(4 - 10*T + 16*T^2 - 19*T^3 + 16*T^4 - 10*T^5 + 4*T^6)/T^3, 
   -((400 - 988*T1 + 1572*T1^2 - 1864*T1^3 + 1572*T1^4 - 988*T1^5 + 
      400*T1^6 - 988*T2 + 1622*T1*T2 - 1856*T1^2*T2 + 1368*T1^3*T2 - 
      32*T1^4*T2 - 816*T1^5*T2 + 1062*T1^6*T2 - 828*T1^7*T2 + 1572*T2^2 - 
      1856*T1*T2^2 + 2083*T1^2*T2^2 - 1641*T1^3*T2^2 + 473*T1^4*T2^2 - 
      489*T1^5*T2^2 + 547*T1^6*T2^2 - 576*T1^7*T2^2 + 1060*T1^8*T2^2 - 
      1864*T2^3 + 1368*T1*T2^3 - 1641*T1^2*T2^3 + 1078*T1^3*T2^3 + 
      44*T1^4*T2^3 + 372*T1^5*T2^3 - 6*T1^6*T2^3 - 233*T1^7*T2^3 - 
      272*T1^8*T2^3 - 952*T1^9*T2^3 + 1572*T2^4 - 32*T1*T2^4 + 
      473*T1^2*T2^4 + 44*T1^3*T2^4 - 596*T1^4*T2^4 - 372*T1^5*T2^4 - 
      248*T1^6*T2^4 + 348*T1^7*T2^4 + 177*T1^8*T2^4 + 1008*T1^9*T2^4 + 
      548*T1^10*T2^4 - 988*T2^5 - 816*T1*T2^5 - 489*T1^2*T2^5 + 
      372*T1^3*T2^5 - 372*T1^4*T2^5 + 1130*T1^5*T2^5 + 170*T1^6*T2^5 - 
      308*T1^7*T2^5 - 4*T1^8*T2^5 - 873*T1^9*T2^5 - 896*T1^10*T2^5 - 
      188*T1^11*T2^5 + 400*T2^6 + 1062*T1*T2^6 + 547*T1^2*T2^6 - 
      6*T1^3*T2^6 - 248*T1^4*T2^6 + 170*T1^5*T2^6 - 1488*T1^6*T2^6 + 
      938*T1^7*T2^6 - 328*T1^8*T2^6 + 538*T1^9*T2^6 + 963*T1^10*T2^6 + 
      422*T1^11*T2^6 + 16*T1^12*T2^6 - 828*T1*T2^7 - 576*T1^2*T2^7 - 
      233*T1^3*T2^7 + 348*T1^4*T2^7 - 308*T1^5*T2^7 + 938*T1^6*T2^7 - 
      22*T1^7*T2^7 - 244*T1^8*T2^7 - 28*T1^9*T2^7 - 617*T1^10*T2^7 - 
      656*T1^11*T2^7 - 28*T1^12*T2^7 + 1060*T1^2*T2^8 - 272*T1^3*T2^8 + 
      177*T1^4*T2^8 - 4*T1^5*T2^8 - 328*T1^6*T2^8 - 244*T1^7*T2^8 + 
      20*T1^8*T2^8 + 300*T1^9*T2^8 - 119*T1^10*T2^8 + 768*T1^11*T2^8 + 
      36*T1^12*T2^8 - 952*T1^3*T2^9 + 1008*T1^4*T2^9 - 873*T1^5*T2^9 + 
      538*T1^6*T2^9 - 28*T1^7*T2^9 + 300*T1^8*T2^9 - 546*T1^9*T2^9 + 
      535*T1^10*T2^9 - 632*T1^11*T2^9 - 40*T1^12*T2^9 + 548*T1^4*T2^10 - 
      896*T1^5*T2^10 + 963*T1^6*T2^10 - 617*T1^7*T2^10 - 119*T1^8*T2^10 + 
      535*T1^9*T2^10 - 573*T1^10*T2^10 + 384*T1^11*T2^10 + 36*T1^12*T2^10 - 
      188*T1^5*T2^11 + 422*T1^6*T2^11 - 656*T1^7*T2^11 + 768*T1^8*T2^11 - 
      632*T1^9*T2^11 + 384*T1^10*T2^11 - 138*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 36*T1^8*T2^12 - 40*T1^9*T2^12 + 
      36*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 357] -> 
  {(4 - 11*T + 19*T^2 - 23*T^3 + 19*T^4 - 11*T^5 + 4*T^6)/T^3, 
   -((400 - 1088*T1 + 1872*T1^2 - 2264*T1^3 + 1872*T1^4 - 1088*T1^5 + 
      400*T1^6 - 1088*T2 + 2056*T1*T2 - 2628*T1^2*T2 + 1908*T1^3*T2 + 
      60*T1^4*T2 - 1308*T1^5*T2 + 1396*T1^6*T2 - 912*T1^7*T2 + 1872*T2^2 - 
      2628*T1*T2^2 + 3162*T1^2*T2^2 - 2122*T1^3*T2^2 + 238*T1^4*T2^2 - 
      298*T1^5*T2^2 + 882*T1^6*T2^2 - 956*T1^7*T2^2 + 1264*T1^8*T2^2 - 
      2264*T2^3 + 1908*T1*T2^3 - 2122*T1^2*T2^3 + 617*T1^3*T2^3 + 
      835*T1^4*T2^3 + 337*T1^5*T2^3 - 565*T1^6*T2^3 - 13*T1^7*T2^3 - 
      292*T1^8*T2^3 - 1160*T1^9*T2^3 + 1872*T2^4 + 60*T1*T2^4 + 
      238*T1^2*T2^4 + 835*T1^3*T2^4 - 592*T1^4*T2^4 - 1664*T1^5*T2^4 + 
      920*T1^6*T2^4 + 237*T1^7*T2^4 + 28*T1^8*T2^4 + 1380*T1^9*T2^4 + 
      656*T1^10*T2^4 - 1088*T2^5 - 1308*T1*T2^5 - 298*T1^2*T2^5 + 
      337*T1^3*T2^5 - 1664*T1^4*T2^5 + 2822*T1^5*T2^5 - 22*T1^6*T2^5 - 
      1303*T1^7*T2^5 + 635*T1^8*T2^5 - 1267*T1^9*T2^5 - 1220*T1^10*T2^5 - 
      208*T1^11*T2^5 + 400*T2^6 + 1396*T1*T2^6 + 882*T1^2*T2^6 - 
      565*T1^3*T2^6 + 920*T1^4*T2^6 - 22*T1^5*T2^6 - 3000*T1^6*T2^6 + 
      2438*T1^7*T2^6 - 602*T1^8*T2^6 + 389*T1^9*T2^6 + 1494*T1^10*T2^6 + 
      516*T1^11*T2^6 + 16*T1^12*T2^6 - 912*T1*T2^7 - 956*T1^2*T2^7 - 
      13*T1^3*T2^7 + 237*T1^4*T2^7 - 1303*T1^5*T2^7 + 2438*T1^6*T2^7 - 
      406*T1^7*T2^7 - 942*T1^8*T2^7 + 535*T1^9*T2^7 - 982*T1^10*T2^7 - 
      868*T1^11*T2^7 - 32*T1^12*T2^7 + 1264*T1^2*T2^8 - 292*T1^3*T2^8 + 
      28*T1^4*T2^8 + 635*T1^5*T2^8 - 602*T1^6*T2^8 - 942*T1^7*T2^8 + 
      910*T1^8*T2^8 + 37*T1^9*T2^8 - 182*T1^10*T2^8 + 1028*T1^11*T2^8 + 
      48*T1^12*T2^8 - 1160*T1^3*T2^9 + 1380*T1^4*T2^9 - 1267*T1^5*T2^9 + 
      389*T1^6*T2^9 + 535*T1^7*T2^9 + 37*T1^8*T2^9 - 793*T1^9*T2^9 + 
      842*T1^10*T2^9 - 820*T1^11*T2^9 - 56*T1^12*T2^9 + 656*T1^4*T2^10 - 
      1220*T1^5*T2^10 + 1494*T1^6*T2^10 - 982*T1^7*T2^10 - 182*T1^8*T2^10 + 
      842*T1^9*T2^10 - 786*T1^10*T2^10 + 452*T1^11*T2^10 + 48*T1^12*T2^10 - 
      208*T1^5*T2^11 + 516*T1^6*T2^11 - 868*T1^7*T2^11 + 1028*T1^8*T2^11 - 
      820*T1^9*T2^11 + 452*T1^10*T2^11 - 144*T1^11*T2^11 - 32*T1^12*T2^11 + 
      16*T1^6*T2^12 - 32*T1^7*T2^12 + 48*T1^8*T2^12 - 56*T1^9*T2^12 + 
      48*T1^10*T2^12 - 32*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, Alternating, 358] -> 
  {(3 - 5*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 3*T^6)/T^3, 
   -((171 - 283*T1 + 283*T1^2 - 283*T1^3 + 283*T1^4 - 283*T1^5 + 171*T1^6 - 
      283*T2 + 231*T1*T2 - 75*T1^2*T2 + 75*T1^3*T2 - 75*T1^4*T2 + 
      75*T1^5*T2 + 111*T1^6*T2 - 238*T1^7*T2 + 283*T2^2 - 75*T1*T2^2 - 
      18*T1^2*T2^2 - 90*T1^3*T2^2 + 90*T1^4*T2^2 - 90*T1^5*T2^2 - 
      78*T1^6*T2^2 + 75*T1^7*T2^2 + 193*T1^8*T2^2 - 283*T2^3 + 75*T1*T2^3 - 
      90*T1^2*T2^3 + 166*T1^3*T2^3 - 100*T1^4*T2^3 + 100*T1^5*T2^3 + 
      56*T1^6*T2^3 - 65*T1^7*T2^3 - 75*T1^8*T2^3 - 148*T1^9*T2^3 + 283*T2^4 - 
      75*T1*T2^4 + 90*T1^2*T2^4 - 100*T1^3*T2^4 + 22*T1^4*T2^4 - 
      40*T1^5*T2^4 - 98*T1^6*T2^4 + 100*T1^7*T2^4 + 40*T1^8*T2^4 + 
      75*T1^9*T2^4 + 103*T1^10*T2^4 - 283*T2^5 + 75*T1*T2^5 - 90*T1^2*T2^5 + 
      100*T1^3*T2^5 - 40*T1^4*T2^5 + 101*T1^5*T2^5 + T1^6*T2^5 - 
      15*T1^7*T2^5 - 100*T1^8*T2^5 - 15*T1^9*T2^5 - 75*T1^10*T2^5 - 
      58*T1^11*T2^5 + 171*T2^6 + 111*T1*T2^6 - 78*T1^2*T2^6 + 56*T1^3*T2^6 - 
      98*T1^4*T2^6 + T1^5*T2^6 - 84*T1^6*T2^6 + 71*T1^7*T2^6 + 32*T1^8*T2^6 + 
      76*T1^9*T2^6 + 2*T1^10*T2^6 + 81*T1^11*T2^6 + 9*T1^12*T2^6 - 
      238*T1*T2^7 + 75*T1^2*T2^7 - 65*T1^3*T2^7 + 100*T1^4*T2^7 - 
      15*T1^5*T2^7 + 71*T1^6*T2^7 - 29*T1^7*T2^7 + 10*T1^8*T2^7 - 
      100*T1^9*T2^7 + 10*T1^10*T2^7 - 75*T1^11*T2^7 - 13*T1^12*T2^7 + 
      193*T1^2*T2^8 - 75*T1^3*T2^8 + 40*T1^4*T2^8 - 100*T1^5*T2^8 + 
      32*T1^6*T2^8 + 10*T1^7*T2^8 - 88*T1^8*T2^8 + 100*T1^9*T2^8 - 
      10*T1^10*T2^8 + 75*T1^11*T2^8 + 13*T1^12*T2^8 - 148*T1^3*T2^9 + 
      75*T1^4*T2^9 - 15*T1^5*T2^9 + 76*T1^6*T2^9 - 100*T1^7*T2^9 + 
      100*T1^8*T2^9 - 34*T1^9*T2^9 + 10*T1^10*T2^9 - 75*T1^11*T2^9 - 
      13*T1^12*T2^9 + 103*T1^4*T2^10 - 75*T1^5*T2^10 + 2*T1^6*T2^10 + 
      10*T1^7*T2^10 - 10*T1^8*T2^10 + 10*T1^9*T2^10 - 58*T1^10*T2^10 + 
      75*T1^11*T2^10 + 13*T1^12*T2^10 - 58*T1^5*T2^11 + 81*T1^6*T2^11 - 
      75*T1^7*T2^11 + 75*T1^8*T2^11 - 75*T1^9*T2^11 + 75*T1^10*T2^11 - 
      39*T1^11*T2^11 - 13*T1^12*T2^11 + 9*T1^6*T2^12 - 13*T1^7*T2^12 + 
      13*T1^8*T2^12 - 13*T1^9*T2^12 + 13*T1^10*T2^12 - 13*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 359] -> {(6 - 13*T + 15*T^2 - 13*T^3 + 6*T^4)/T^2, 
   -((963 - 2057*T1 + 2361*T1^2 - 2057*T1^3 + 963*T1^4 - 2057*T2 + 
      2816*T1*T2 - 1670*T1^2*T2 + 514*T1^3*T2 + 1334*T1^4*T2 - 1589*T1^5*T2 + 
      2361*T2^2 - 1670*T1*T2^2 - 373*T1^2*T2^2 + 947*T1^3*T2^2 - 
      1993*T1^4*T2^2 + 670*T1^5*T2^2 + 1281*T1^6*T2^2 - 2057*T2^3 + 
      514*T1*T2^3 + 947*T1^2*T2^3 - 355*T1^3*T2^3 + 659*T1^4*T2^3 + 
      752*T1^5*T2^3 - 1358*T1^6*T2^3 - 653*T1^7*T2^3 + 963*T2^4 + 
      1334*T1*T2^4 - 1993*T1^2*T2^4 + 659*T1^3*T2^4 - 528*T1^4*T2^4 - 
      511*T1^5*T2^4 + 241*T1^6*T2^4 + 1178*T1^7*T2^4 + 99*T1^8*T2^4 - 
      1589*T1*T2^5 + 670*T1^2*T2^5 + 752*T1^3*T2^5 - 511*T1^4*T2^5 + 
      503*T1^5*T2^5 + 557*T1^6*T2^5 - 1202*T1^7*T2^5 - 185*T1^8*T2^5 + 
      1281*T1^2*T2^6 - 1358*T1^3*T2^6 + 241*T1^4*T2^6 + 557*T1^5*T2^6 - 
      1379*T1^6*T2^6 + 982*T1^7*T2^6 + 201*T1^8*T2^6 - 653*T1^3*T2^7 + 
      1178*T1^4*T2^7 - 1202*T1^5*T2^7 + 982*T1^6*T2^7 - 304*T1^7*T2^7 - 
      185*T1^8*T2^7 + 99*T1^4*T2^8 - 185*T1^5*T2^8 + 201*T1^6*T2^8 - 
      185*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 360] -> {(6 - 14*T + 17*T^2 - 14*T^3 + 6*T^4)/T^2, 
   -((963 - 2221*T1 + 2689*T1^2 - 2221*T1^3 + 963*T1^4 - 2221*T2 + 
      3418*T1*T2 - 2264*T1^2*T2 + 340*T1^3*T2 + 1738*T1^4*T2 - 1717*T1^5*T2 + 
      2689*T2^2 - 2264*T1*T2^2 - 357*T1^2*T2^2 + 1899*T1^3*T2^2 - 
      2601*T1^4*T2^2 + 592*T1^5*T2^2 + 1465*T1^6*T2^2 - 2221*T2^3 + 
      340*T1*T2^3 + 1899*T1^2*T2^3 - 1596*T1^3*T2^3 + 742*T1^4*T2^3 + 
      1423*T1^5*T2^3 - 1760*T1^6*T2^3 - 709*T1^7*T2^3 + 963*T2^4 + 
      1738*T1*T2^4 - 2601*T1^2*T2^4 + 742*T1^3*T2^4 + 552*T1^4*T2^4 - 
      1554*T1^5*T2^4 + 439*T1^6*T2^4 + 1402*T1^7*T2^4 + 99*T1^8*T2^4 - 
      1717*T1*T2^5 + 592*T1^2*T2^5 + 1423*T1^3*T2^5 - 1554*T1^4*T2^5 + 
      784*T1^5*T2^5 + 947*T1^6*T2^5 - 1508*T1^7*T2^5 - 205*T1^8*T2^5 + 
      1465*T1^2*T2^6 - 1760*T1^3*T2^6 + 439*T1^4*T2^6 + 947*T1^5*T2^6 - 
      1805*T1^6*T2^6 + 1096*T1^7*T2^6 + 241*T1^8*T2^6 - 709*T1^3*T2^7 + 
      1402*T1^4*T2^7 - 1508*T1^5*T2^7 + 1096*T1^6*T2^7 - 278*T1^7*T2^7 - 
      205*T1^8*T2^7 + 99*T1^4*T2^8 - 205*T1^5*T2^8 + 241*T1^6*T2^8 - 
      205*T1^7*T2^8 + 99*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 361] -> {(7 - 17*T + 21*T^2 - 17*T^3 + 7*T^4)/T^2, 
   -((1533 - 3679*T1 + 4529*T1^2 - 3679*T1^3 + 1533*T1^4 - 3679*T2 + 
      6001*T1*T2 - 4075*T1^2*T2 + 447*T1^3*T2 + 3145*T1^4*T2 - 2846*T1^5*T2 + 
      4529*T2^2 - 4075*T1*T2^2 - 836*T1^2*T2^2 + 4032*T1^3*T2^2 - 
      4952*T1^4*T2^2 + 923*T1^5*T2^2 + 2471*T1^6*T2^2 - 3679*T2^3 + 
      447*T1*T2^3 + 4032*T1^2*T2^3 - 3636*T1^3*T2^3 + 1362*T1^4*T2^3 + 
      2961*T1^5*T2^3 - 3123*T1^6*T2^3 - 1180*T1^7*T2^3 + 1533*T2^4 + 
      3145*T1*T2^4 - 4952*T1^2*T2^4 + 1362*T1^3*T2^4 + 1644*T1^4*T2^4 - 
      3398*T1^5*T2^4 + 758*T1^6*T2^4 + 2431*T1^7*T2^4 + 161*T1^8*T2^4 - 
      2846*T1*T2^5 + 923*T1^2*T2^5 + 2961*T1^3*T2^5 - 3398*T1^4*T2^5 + 
      1600*T1^5*T2^5 + 1890*T1^6*T2^5 - 2647*T1^7*T2^5 - 347*T1^8*T2^5 + 
      2471*T1^2*T2^6 - 3123*T1^3*T2^6 + 758*T1^4*T2^6 + 1890*T1^5*T2^6 - 
      3358*T1^6*T2^6 + 1875*T1^7*T2^6 + 413*T1^8*T2^6 - 1180*T1^3*T2^7 + 
      2431*T1^4*T2^7 - 2647*T1^5*T2^7 + 1875*T1^6*T2^7 - 425*T1^7*T2^7 - 
      347*T1^8*T2^7 + 161*T1^4*T2^8 - 347*T1^5*T2^8 + 413*T1^6*T2^8 - 
      347*T1^7*T2^8 + 161*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 362] -> {(10 - 19*T + 10*T^2)/T, 
   -((2705 - 5093*T1 + 2705*T1^2 - 5093*T2 + 6400*T1*T2 + 890*T1^2*T2 - 
      3193*T1^3*T2 + 2705*T2^2 + 890*T1*T2^2 - 7812*T1^2*T2^2 + 
      4690*T1^3*T2^2 + 705*T1^4*T2^2 - 3193*T1*T2^3 + 4690*T1^2*T2^3 - 
      820*T1^3*T2^3 - 1293*T1^4*T2^3 + 705*T1^2*T2^4 - 1293*T1^3*T2^4 + 
      705*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 363] -> {(9 - 17*T + 9*T^2)/T, 
   (-9*(216 - 404*T1 + 216*T1^2 - 404*T2 + 505*T1*T2 + 63*T1^2*T2 - 
      251*T1^3*T2 + 216*T2^2 + 63*T1*T2^2 - 600*T1^2*T2^2 + 369*T1^3*T2^2 + 
      54*T1^4*T2^2 - 251*T1*T2^3 + 369*T1^2*T2^3 - 73*T1^3*T2^3 - 
      98*T1^4*T2^3 + 54*T1^2*T2^4 - 98*T1^3*T2^4 + 54*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[11, Alternating, 364] -> 
  {(2 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 3*T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 97*T1^2 - 97*T1^3 + 97*T1^4 - 97*T1^5 + 97*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 - 18*T1^2*T2 + 18*T1^3*T2 - 
      18*T1^4*T2 + 18*T1^5*T2 - 18*T1^6*T2 + 18*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 97*T2^2 - 18*T1*T2^2 + 20*T1^2*T2^2 - 52*T1^3*T2^2 + 
      52*T1^4*T2^2 - 52*T1^5*T2^2 + 52*T1^6*T2^2 - 52*T1^7*T2^2 + 
      8*T1^8*T2^2 + 18*T1^9*T2^2 + 73*T1^10*T2^2 - 97*T2^3 + 18*T1*T2^3 - 
      52*T1^2*T2^3 + 51*T1^3*T2^3 - 27*T1^4*T2^3 + 27*T1^5*T2^3 - 
      27*T1^6*T2^3 + 27*T1^7*T2^3 + 15*T1^8*T2^3 - 43*T1^9*T2^3 - 
      18*T1^10*T2^3 - 61*T1^11*T2^3 + 97*T2^4 - 18*T1*T2^4 + 52*T1^2*T2^4 - 
      27*T1^3*T2^4 + 20*T1^4*T2^4 - 34*T1^5*T2^4 + 34*T1^6*T2^4 - 
      34*T1^7*T2^4 - 4*T1^8*T2^4 + 27*T1^9*T2^4 + 34*T1^10*T2^4 + 
      18*T1^11*T2^4 + 49*T1^12*T2^4 - 97*T2^5 + 18*T1*T2^5 - 52*T1^2*T2^5 + 
      27*T1^3*T2^5 - 34*T1^4*T2^5 + 42*T1^5*T2^5 - 36*T1^6*T2^5 + 
      36*T1^7*T2^5 - 25*T1^9*T2^5 - 27*T1^10*T2^5 - 25*T1^11*T2^5 - 
      18*T1^12*T2^5 - 37*T1^13*T2^5 + 97*T2^6 - 18*T1*T2^6 + 52*T1^2*T2^6 - 
      27*T1^3*T2^6 + 34*T1^4*T2^6 - 36*T1^5*T2^6 + 20*T1^6*T2^6 - 
      16*T1^7*T2^6 - 16*T1^8*T2^6 + 36*T1^9*T2^6 + 16*T1^10*T2^6 + 
      27*T1^11*T2^6 + 16*T1^12*T2^6 + 18*T1^13*T2^6 + 25*T1^14*T2^6 - 
      97*T2^7 + 18*T1*T2^7 - 52*T1^2*T2^7 + 27*T1^3*T2^7 - 34*T1^4*T2^7 + 
      36*T1^5*T2^7 - 16*T1^6*T2^7 + 33*T1^7*T2^7 - 15*T1^8*T2^7 - 
      7*T1^9*T2^7 - 36*T1^10*T2^7 - 7*T1^11*T2^7 - 27*T1^12*T2^7 - 
      7*T1^13*T2^7 - 18*T1^14*T2^7 - 13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 + 
      8*T1^2*T2^8 + 15*T1^3*T2^8 - 4*T1^4*T2^8 - 16*T1^6*T2^8 - 
      15*T1^7*T2^8 - 12*T1^8*T2^8 + 27*T1^9*T2^8 + 14*T1^10*T2^8 + 
      24*T1^11*T2^8 + 8*T1^12*T2^8 + 21*T1^13*T2^8 + 2*T1^14*T2^8 + 
      18*T1^15*T2^8 + T1^16*T2^8 - 85*T1*T2^9 + 18*T1^2*T2^9 - 43*T1^3*T2^9 + 
      27*T1^4*T2^9 - 25*T1^5*T2^9 + 36*T1^6*T2^9 - 7*T1^7*T2^9 + 
      27*T1^8*T2^9 - 21*T1^9*T2^9 + 2*T1^10*T2^9 - 36*T1^11*T2^9 + 
      2*T1^12*T2^9 - 27*T1^13*T2^9 + 2*T1^14*T2^9 - 18*T1^15*T2^9 - 
      T1^16*T2^9 + 73*T1^2*T2^10 - 18*T1^3*T2^10 + 34*T1^4*T2^10 - 
      27*T1^5*T2^10 + 16*T1^6*T2^10 - 36*T1^7*T2^10 + 14*T1^8*T2^10 + 
      2*T1^9*T2^10 - 22*T1^10*T2^10 + 36*T1^11*T2^10 - 2*T1^12*T2^10 + 
      27*T1^13*T2^10 - 2*T1^14*T2^10 + 18*T1^15*T2^10 + T1^16*T2^10 - 
      61*T1^3*T2^11 + 18*T1^4*T2^11 - 25*T1^5*T2^11 + 27*T1^6*T2^11 - 
      7*T1^7*T2^11 + 24*T1^8*T2^11 - 36*T1^9*T2^11 + 36*T1^10*T2^11 - 
      18*T1^11*T2^11 + 2*T1^12*T2^11 - 27*T1^13*T2^11 + 2*T1^14*T2^11 - 
      18*T1^15*T2^11 - T1^16*T2^11 + 49*T1^4*T2^12 - 18*T1^5*T2^12 + 
      16*T1^6*T2^12 - 27*T1^7*T2^12 + 8*T1^8*T2^12 + 2*T1^9*T2^12 - 
      2*T1^10*T2^12 + 2*T1^11*T2^12 - 16*T1^12*T2^12 + 27*T1^13*T2^12 - 
      2*T1^14*T2^12 + 18*T1^15*T2^12 + T1^16*T2^12 - 37*T1^5*T2^13 + 
      18*T1^6*T2^13 - 7*T1^7*T2^13 + 21*T1^8*T2^13 - 27*T1^9*T2^13 + 
      27*T1^10*T2^13 - 27*T1^11*T2^13 + 27*T1^12*T2^13 - 15*T1^13*T2^13 + 
      2*T1^14*T2^13 - 18*T1^15*T2^13 - T1^16*T2^13 + 25*T1^6*T2^14 - 
      18*T1^7*T2^14 + 2*T1^8*T2^14 + 2*T1^9*T2^14 - 2*T1^10*T2^14 + 
      2*T1^11*T2^14 - 2*T1^12*T2^14 + 2*T1^13*T2^14 - 10*T1^14*T2^14 + 
      18*T1^15*T2^14 + T1^16*T2^14 - 13*T1^7*T2^15 + 18*T1^8*T2^15 - 
      18*T1^9*T2^15 + 18*T1^10*T2^15 - 18*T1^11*T2^15 + 18*T1^12*T2^15 - 
      18*T1^13*T2^15 + 18*T1^14*T2^15 - 12*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 + T1^10*T2^16 - T1^11*T2^16 + T1^12*T2^16 - 
      T1^13*T2^16 + T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, Alternating, 365] -> 
  {((1 - T + T^2)*(4 - 4*T + T^2 - 4*T^3 + 4*T^4))/T^3, 
   -((400 - 792*T1 + 888*T1^2 - 888*T1^3 + 888*T1^4 - 792*T1^5 + 400*T1^6 - 
      792*T2 + 908*T1*T2 - 448*T1^2*T2 + 288*T1^3*T2 - 288*T1^4*T2 + 
      96*T1^5*T2 + 524*T1^6*T2 - 664*T1^7*T2 + 888*T2^2 - 448*T1*T2^2 - 
      98*T1^2*T2^2 - 106*T1^3*T2^2 + 234*T1^4*T2^2 - 34*T1^5*T2^2 - 
      458*T1^6*T2^2 + 128*T1^7*T2^2 + 600*T1^8*T2^2 - 888*T2^3 + 
      288*T1*T2^3 - 106*T1^2*T2^3 + 460*T1^3*T2^3 - 400*T1^4*T2^3 + 
      140*T1^5*T2^3 + 280*T1^6*T2^3 + 2*T1^7*T2^3 - 288*T1^8*T2^3 - 
      456*T1^9*T2^3 + 888*T2^4 - 288*T1*T2^4 + 234*T1^2*T2^4 - 
      400*T1^3*T2^4 + 166*T1^4*T2^4 + 58*T1^5*T2^4 - 410*T1^6*T2^4 + 
      176*T1^7*T2^4 + 90*T1^8*T2^4 + 288*T1^9*T2^4 + 312*T1^10*T2^4 - 
      792*T2^5 + 96*T1*T2^5 - 34*T1^2*T2^5 + 140*T1^3*T2^5 + 58*T1^4*T2^5 - 
      79*T1^5*T2^5 + 215*T1^6*T2^5 + 67*T1^7*T2^5 - 328*T1^8*T2^5 + 
      2*T1^9*T2^5 - 320*T1^10*T2^5 - 152*T1^11*T2^5 + 400*T2^6 + 
      524*T1*T2^6 - 458*T1^2*T2^6 + 280*T1^3*T2^6 - 410*T1^4*T2^6 + 
      215*T1^5*T2^6 - 144*T1^6*T2^6 - 135*T1^7*T2^6 + 220*T1^8*T2^6 + 
      136*T1^9*T2^6 + 78*T1^10*T2^6 + 268*T1^11*T2^6 + 16*T1^12*T2^6 - 
      664*T1*T2^7 + 128*T1^2*T2^7 + 2*T1^3*T2^7 + 176*T1^4*T2^7 + 
      67*T1^5*T2^7 - 135*T1^6*T2^7 + 159*T1^7*T2^7 + 76*T1^8*T2^7 - 
      292*T1^9*T2^7 + 38*T1^10*T2^7 - 288*T1^11*T2^7 - 24*T1^12*T2^7 + 
      600*T1^2*T2^8 - 288*T1^3*T2^8 + 90*T1^4*T2^8 - 328*T1^5*T2^8 + 
      220*T1^6*T2^8 + 76*T1^7*T2^8 - 356*T1^8*T2^8 + 248*T1^9*T2^8 - 
      54*T1^10*T2^8 + 288*T1^11*T2^8 + 24*T1^12*T2^8 - 456*T1^3*T2^9 + 
      288*T1^4*T2^9 + 2*T1^5*T2^9 + 136*T1^6*T2^9 - 292*T1^7*T2^9 + 
      248*T1^8*T2^9 - 44*T1^9*T2^9 + 110*T1^10*T2^9 - 288*T1^11*T2^9 - 
      24*T1^12*T2^9 + 312*T1^4*T2^10 - 320*T1^5*T2^10 + 78*T1^6*T2^10 + 
      38*T1^7*T2^10 - 54*T1^8*T2^10 + 110*T1^9*T2^10 - 282*T1^10*T2^10 + 
      256*T1^11*T2^10 + 24*T1^12*T2^10 - 152*T1^5*T2^11 + 268*T1^6*T2^11 - 
      288*T1^7*T2^11 + 288*T1^8*T2^11 - 288*T1^9*T2^11 + 256*T1^10*T2^11 - 
      116*T1^11*T2^11 - 24*T1^12*T2^11 + 16*T1^6*T2^12 - 24*T1^7*T2^12 + 
      24*T1^8*T2^12 - 24*T1^9*T2^12 + 24*T1^10*T2^12 - 24*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, Alternating, 366] -> {(8 - 20*T + 25*T^2 - 20*T^3 + 8*T^4)/T^2, 
   (-2*(1120 - 2752*T1 + 3416*T1^2 - 2752*T1^3 + 1120*T1^4 - 2752*T2 + 
      4672*T1*T2 - 3248*T1^2*T2 + 352*T1^3*T2 + 2432*T1^4*T2 - 2112*T1^5*T2 + 
      3416*T2^2 - 3248*T1*T2^2 - 653*T1^2*T2^2 + 3346*T1^3*T2^2 - 
      4053*T1^4*T2^2 + 752*T1^5*T2^2 + 1816*T1^6*T2^2 - 2752*T2^3 + 
      352*T1*T2^3 + 3346*T1^2*T2^3 - 3200*T1^3*T2^3 + 1330*T1^4*T2^3 + 
      2346*T1^5*T2^3 - 2448*T1^6*T2^3 - 832*T1^7*T2^3 + 1120*T2^4 + 
      2432*T1*T2^4 - 4053*T1^2*T2^4 + 1330*T1^3*T2^4 + 1206*T1^4*T2^4 - 
      2910*T1^5*T2^4 + 747*T1^6*T2^4 + 1792*T1^7*T2^4 + 96*T1^8*T2^4 - 
      2112*T1*T2^5 + 752*T1^2*T2^5 + 2346*T1^3*T2^5 - 2910*T1^4*T2^5 + 
      1620*T1^5*T2^5 + 1346*T1^6*T2^5 - 2048*T1^7*T2^5 - 192*T1^8*T2^5 + 
      1816*T1^2*T2^6 - 2448*T1^3*T2^6 + 747*T1^4*T2^6 + 1346*T1^5*T2^6 - 
      2653*T1^6*T2^6 + 1552*T1^7*T2^6 + 216*T1^8*T2^6 - 832*T1^3*T2^7 + 
      1792*T1^4*T2^7 - 2048*T1^5*T2^7 + 1552*T1^6*T2^7 - 448*T1^7*T2^7 - 
      192*T1^8*T2^7 + 96*T1^4*T2^8 - 192*T1^5*T2^8 + 216*T1^6*T2^8 - 
      192*T1^7*T2^8 + 96*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, Alternating, 367] -> 
  {(1 - T + T^2 - T^3 + T^4 - T^5 + T^6 - T^7 + T^8 - T^9 + T^10)/T^5, 
   (-10 + 10*T1 - 10*T1^2 + 10*T1^3 - 10*T1^4 + 10*T1^5 - 10*T1^6 + 10*T1^7 - 
     10*T1^8 + 10*T1^9 - 10*T1^10 + 10*T2 - T1*T2 + T1^2*T2 - T1^3*T2 + 
     T1^4*T2 - T1^5*T2 + T1^6*T2 - T1^7*T2 + T1^8*T2 - T1^9*T2 + T1^10*T2 + 
     9*T1^11*T2 - 10*T2^2 + T1*T2^2 - 8*T1^2*T2^2 + 8*T1^3*T2^2 - 
     8*T1^4*T2^2 + 8*T1^5*T2^2 - 8*T1^6*T2^2 + 8*T1^7*T2^2 - 8*T1^8*T2^2 + 
     8*T1^9*T2^2 - 8*T1^10*T2^2 - T1^11*T2^2 - 8*T1^12*T2^2 + 10*T2^3 - 
     T1*T2^3 + 8*T1^2*T2^3 - 2*T1^3*T2^3 + 2*T1^4*T2^3 - 2*T1^5*T2^3 + 
     2*T1^6*T2^3 - 2*T1^7*T2^3 + 2*T1^8*T2^3 - 2*T1^9*T2^3 + 2*T1^10*T2^3 + 
     7*T1^11*T2^3 + T1^12*T2^3 + 7*T1^13*T2^3 - 10*T2^4 + T1*T2^4 - 
     8*T1^2*T2^4 + 2*T1^3*T2^4 - 6*T1^4*T2^4 + 6*T1^5*T2^4 - 6*T1^6*T2^4 + 
     6*T1^7*T2^4 - 6*T1^8*T2^4 + 6*T1^9*T2^4 - 6*T1^10*T2^4 - 2*T1^11*T2^4 - 
     6*T1^12*T2^4 - T1^13*T2^4 - 6*T1^14*T2^4 + 10*T2^5 - T1*T2^5 + 
     8*T1^2*T2^5 - 2*T1^3*T2^5 + 6*T1^4*T2^5 - 3*T1^5*T2^5 + 3*T1^6*T2^5 - 
     3*T1^7*T2^5 + 3*T1^8*T2^5 - 3*T1^9*T2^5 + 3*T1^10*T2^5 + 5*T1^11*T2^5 + 
     2*T1^12*T2^5 + 5*T1^13*T2^5 + T1^14*T2^5 + 5*T1^15*T2^5 - 10*T2^6 + 
     T1*T2^6 - 8*T1^2*T2^6 + 2*T1^3*T2^6 - 6*T1^4*T2^6 + 3*T1^5*T2^6 - 
     4*T1^6*T2^6 + 4*T1^7*T2^6 - 4*T1^8*T2^6 + 4*T1^9*T2^6 - 4*T1^10*T2^6 - 
     3*T1^11*T2^6 - 4*T1^12*T2^6 - 2*T1^13*T2^6 - 4*T1^14*T2^6 - T1^15*T2^6 - 
     4*T1^16*T2^6 + 10*T2^7 - T1*T2^7 + 8*T1^2*T2^7 - 2*T1^3*T2^7 + 
     6*T1^4*T2^7 - 3*T1^5*T2^7 + 4*T1^6*T2^7 - 4*T1^7*T2^7 + 4*T1^8*T2^7 - 
     4*T1^9*T2^7 + 4*T1^10*T2^7 + 3*T1^11*T2^7 + 3*T1^12*T2^7 + 
     3*T1^13*T2^7 + 2*T1^14*T2^7 + 3*T1^15*T2^7 + T1^16*T2^7 + 3*T1^17*T2^7 - 
     10*T2^8 + T1*T2^8 - 8*T1^2*T2^8 + 2*T1^3*T2^8 - 6*T1^4*T2^8 + 
     3*T1^5*T2^8 - 4*T1^6*T2^8 + 4*T1^7*T2^8 - 2*T1^8*T2^8 + 2*T1^9*T2^8 - 
     2*T1^10*T2^8 - 4*T1^11*T2^8 - 2*T1^12*T2^8 - 3*T1^13*T2^8 - 
     2*T1^14*T2^8 - 2*T1^15*T2^8 - 2*T1^16*T2^8 - T1^17*T2^8 - 2*T1^18*T2^8 + 
     10*T2^9 - T1*T2^9 + 8*T1^2*T2^9 - 2*T1^3*T2^9 + 6*T1^4*T2^9 - 
     3*T1^5*T2^9 + 4*T1^6*T2^9 - 4*T1^7*T2^9 + 2*T1^8*T2^9 - 5*T1^9*T2^9 + 
     5*T1^10*T2^9 + T1^11*T2^9 + 4*T1^12*T2^9 + T1^13*T2^9 + 3*T1^14*T2^9 + 
     T1^15*T2^9 + 2*T1^16*T2^9 + T1^17*T2^9 + T1^18*T2^9 + T1^19*T2^9 - 
     10*T2^10 + T1*T2^10 - 8*T1^2*T2^10 + 2*T1^3*T2^10 - 6*T1^4*T2^10 + 
     3*T1^5*T2^10 - 4*T1^6*T2^10 + 4*T1^7*T2^10 - 2*T1^8*T2^10 + 
     5*T1^9*T2^10 - 5*T1^11*T2^10 - 4*T1^13*T2^10 - 3*T1^15*T2^10 - 
     2*T1^17*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - T1^2*T2^11 + 7*T1^3*T2^11 - 
     2*T1^4*T2^11 + 5*T1^5*T2^11 - 3*T1^6*T2^11 + 3*T1^7*T2^11 - 
     4*T1^8*T2^11 + T1^9*T2^11 - 5*T1^10*T2^11 + 5*T1^11*T2^11 + 
     4*T1^13*T2^11 + 3*T1^15*T2^11 + 2*T1^17*T2^11 + T1^19*T2^11 - 
     8*T1^2*T2^12 + T1^3*T2^12 - 6*T1^4*T2^12 + 2*T1^5*T2^12 - 4*T1^6*T2^12 + 
     3*T1^7*T2^12 - 2*T1^8*T2^12 + 4*T1^9*T2^12 - 4*T1^13*T2^12 - 
     3*T1^15*T2^12 - 2*T1^17*T2^12 - T1^19*T2^12 + 7*T1^3*T2^13 - 
     T1^4*T2^13 + 5*T1^5*T2^13 - 2*T1^6*T2^13 + 3*T1^7*T2^13 - 3*T1^8*T2^13 + 
     T1^9*T2^13 - 4*T1^10*T2^13 + 4*T1^11*T2^13 - 4*T1^12*T2^13 + 
     4*T1^13*T2^13 + 3*T1^15*T2^13 + 2*T1^17*T2^13 + T1^19*T2^13 - 
     6*T1^4*T2^14 + T1^5*T2^14 - 4*T1^6*T2^14 + 2*T1^7*T2^14 - 2*T1^8*T2^14 + 
     3*T1^9*T2^14 - 3*T1^15*T2^14 - 2*T1^17*T2^14 - T1^19*T2^14 + 
     5*T1^5*T2^15 - T1^6*T2^15 + 3*T1^7*T2^15 - 2*T1^8*T2^15 + T1^9*T2^15 - 
     3*T1^10*T2^15 + 3*T1^11*T2^15 - 3*T1^12*T2^15 + 3*T1^13*T2^15 - 
     3*T1^14*T2^15 + 3*T1^15*T2^15 + 2*T1^17*T2^15 + T1^19*T2^15 - 
     4*T1^6*T2^16 + T1^7*T2^16 - 2*T1^8*T2^16 + 2*T1^9*T2^16 - 
     2*T1^17*T2^16 - T1^19*T2^16 + 3*T1^7*T2^17 - T1^8*T2^17 + T1^9*T2^17 - 
     2*T1^10*T2^17 + 2*T1^11*T2^17 - 2*T1^12*T2^17 + 2*T1^13*T2^17 - 
     2*T1^14*T2^17 + 2*T1^15*T2^17 - 2*T1^16*T2^17 + 2*T1^17*T2^17 + 
     T1^19*T2^17 - 2*T1^8*T2^18 + T1^9*T2^18 - T1^19*T2^18 + T1^9*T2^19 - 
     T1^10*T2^19 + T1^11*T2^19 - T1^12*T2^19 + T1^13*T2^19 - T1^14*T2^19 + 
     T1^15*T2^19 - T1^16*T2^19 + T1^17*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[11, NonAlternating, 1] -> 
  {-((1 - 7*T + 11*T^2 - 7*T^3 + T^4)/T^2), 
   -((-1 + 7*T1 - 11*T1^2 + 7*T1^3 - T1^4 + 7*T2 - 41*T1*T2 + 74*T1^2*T2 - 
      52*T1^3*T2 + 15*T1^4*T2 - 11*T2^2 + 74*T1*T2^2 - 220*T1^2*T2^2 + 
      164*T1^3*T2^2 - 80*T1^5*T2^2 + 11*T1^6*T2^2 + 7*T2^3 - 52*T1*T2^3 + 
      164*T1^2*T2^3 + 390*T1^3*T2^3 - 828*T1^4*T2^3 + 549*T1^5*T2^3 + 
      18*T1^6*T2^3 - 14*T1^7*T2^3 - T2^4 + 15*T1*T2^4 - 828*T1^3*T2^4 + 
      828*T1^4*T2^4 + 124*T1^5*T2^4 - 642*T1^6*T2^4 + 85*T1^7*T2^4 + 
      3*T1^8*T2^4 - 80*T1^2*T2^5 + 549*T1^3*T2^5 + 124*T1^4*T2^5 - 
      1094*T1^5*T2^5 + 934*T1^6*T2^5 - 10*T1^7*T2^5 - 21*T1^8*T2^5 + 
      11*T1^2*T2^6 + 18*T1^3*T2^6 - 642*T1^4*T2^6 + 934*T1^5*T2^6 - 
      422*T1^6*T2^6 - 136*T1^7*T2^6 + 33*T1^8*T2^6 - 14*T1^3*T2^7 + 
      85*T1^4*T2^7 - 10*T1^5*T2^7 - 136*T1^6*T2^7 + 141*T1^7*T2^7 - 
      21*T1^8*T2^7 + 3*T1^4*T2^8 - 21*T1^5*T2^8 + 33*T1^6*T2^8 - 
      21*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 2] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 163*T1 - 242*T1^2 + 261*T1^3 - 242*T1^4 + 163*T1^5 - 41*T1^6 + 
      163*T2 - 518*T1*T2 + 445*T1^2*T2 - 269*T1^3*T2 + 131*T1^4*T2 + 
      125*T1^5*T2 - 358*T1^6*T2 + 131*T1^7*T2 - 242*T2^2 + 445*T1*T2^2 + 
      482*T1^2*T2^2 - 952*T1^3*T2^2 + 1036*T1^4*T2^2 - 1192*T1^5*T2^2 + 
      962*T1^6*T2^2 + 61*T1^7*T2^2 - 146*T1^8*T2^2 + 261*T2^3 - 269*T1*T2^3 - 
      952*T1^2*T2^3 + 774*T1^3*T2^3 - 420*T1^4*T2^3 + 420*T1^5*T2^3 + 
      24*T1^6*T2^3 - 928*T1^7*T2^3 + 163*T1^8*T2^3 + 105*T1^9*T2^3 - 
      242*T2^4 + 131*T1*T2^4 + 1036*T1^2*T2^4 - 420*T1^3*T2^4 + 
      162*T1^4*T2^4 - 348*T1^5*T2^4 + 82*T1^6*T2^4 + 412*T1^7*T2^4 + 
      524*T1^8*T2^4 - 221*T1^9*T2^4 - 50*T1^10*T2^4 + 163*T2^5 + 
      125*T1*T2^5 - 1192*T1^2*T2^5 + 420*T1^3*T2^5 - 348*T1^4*T2^5 + 
      666*T1^5*T2^5 - 394*T1^6*T2^5 - 108*T1^7*T2^5 - 436*T1^8*T2^5 - 
      160*T1^9*T2^5 + 189*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 358*T1*T2^6 + 
      962*T1^2*T2^6 + 24*T1^3*T2^6 + 82*T1^4*T2^6 - 394*T1^5*T2^6 - 
      108*T1^6*T2^6 + 534*T1^7*T2^6 - 78*T1^8*T2^6 + 480*T1^9*T2^6 - 
      222*T1^10*T2^6 - 38*T1^11*T2^6 + 7*T1^12*T2^6 + 131*T1*T2^7 + 
      61*T1^2*T2^7 - 928*T1^3*T2^7 + 412*T1^4*T2^7 - 108*T1^5*T2^7 + 
      534*T1^6*T2^7 - 526*T1^7*T2^7 + 132*T1^8*T2^7 - 444*T1^9*T2^7 + 
      104*T1^10*T2^7 + 125*T1^11*T2^7 - 29*T1^12*T2^7 - 146*T1^2*T2^8 + 
      163*T1^3*T2^8 + 524*T1^4*T2^8 - 436*T1^5*T2^8 - 78*T1^6*T2^8 + 
      132*T1^7*T2^8 - 158*T1^8*T2^8 + 396*T1^9*T2^8 + 12*T1^10*T2^8 - 
      189*T1^11*T2^8 + 46*T1^12*T2^8 + 105*T1^3*T2^9 - 221*T1^4*T2^9 - 
      160*T1^5*T2^9 + 480*T1^6*T2^9 - 444*T1^7*T2^9 + 396*T1^8*T2^9 - 
      270*T1^9*T2^9 - 136*T1^10*T2^9 + 211*T1^11*T2^9 - 51*T1^12*T2^9 - 
      50*T1^4*T2^10 + 189*T1^5*T2^10 - 222*T1^6*T2^10 + 104*T1^7*T2^10 + 
      12*T1^8*T2^10 - 136*T1^9*T2^10 + 258*T1^10*T2^10 - 195*T1^11*T2^10 + 
      46*T1^12*T2^10 + 3*T1^5*T2^11 - 38*T1^6*T2^11 + 125*T1^7*T2^11 - 
      189*T1^8*T2^11 + 211*T1^9*T2^11 - 195*T1^10*T2^11 + 122*T1^11*T2^11 - 
      29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 46*T1^8*T2^12 - 
      51*T1^9*T2^12 + 46*T1^10*T2^12 - 29*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 3] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   -((-30 + 114*T1 - 158*T1^2 + 114*T1^3 - 30*T1^4 + 114*T2 - 415*T1*T2 + 
      524*T1^2*T2 - 334*T1^3*T2 + 47*T1^4*T2 + 15*T1^5*T2 - 158*T2^2 + 
      524*T1*T2^2 - 410*T1^2*T2^2 - 194*T1^3*T2^2 + 670*T1^4*T2^2 - 
      466*T1^5*T2^2 + 112*T1^6*T2^2 + 114*T2^3 - 334*T1*T2^3 - 
      194*T1^2*T2^3 + 1310*T1^3*T2^3 - 1594*T1^4*T2^3 + 631*T1^5*T2^3 + 
      260*T1^6*T2^3 - 183*T1^7*T2^3 - 30*T2^4 + 47*T1*T2^4 + 670*T1^2*T2^4 - 
      1594*T1^3*T2^4 + 756*T1^4*T2^4 + 914*T1^5*T2^4 - 1452*T1^6*T2^4 + 
      377*T1^7*T2^4 + 78*T1^8*T2^4 + 15*T1*T2^5 - 466*T1^2*T2^5 + 
      631*T1^3*T2^5 + 914*T1^4*T2^5 - 1990*T1^5*T2^5 + 1456*T1^6*T2^5 + 
      128*T1^7*T2^5 - 282*T1^8*T2^5 + 112*T1^2*T2^6 + 260*T1^3*T2^6 - 
      1452*T1^4*T2^6 + 1456*T1^5*T2^6 - 372*T1^6*T2^6 - 730*T1^7*T2^6 + 
      382*T1^8*T2^6 - 183*T1^3*T2^7 + 377*T1^4*T2^7 + 128*T1^5*T2^7 - 
      730*T1^6*T2^7 + 839*T1^7*T2^7 - 282*T1^8*T2^7 + 78*T1^4*T2^8 - 
      282*T1^5*T2^8 + 382*T1^6*T2^8 - 282*T1^7*T2^8 + 78*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 4] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 115*T1^3*T2 + 15*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 133*T1^2*T2^2 + 
      32*T1^3*T2^2 + 225*T1^4*T2^2 - 188*T1^5*T2^2 + 87*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 115*T1*T2^3 + 32*T1^2*T2^3 + 
      176*T1^3*T2^3 - 518*T1^4*T2^3 + 192*T1^5*T2^3 + 16*T1^6*T2^3 - 
      133*T1^7*T2^3 + 55*T1^8*T2^3 - 33*T2^4 + 15*T1*T2^4 + 225*T1^2*T2^4 - 
      518*T1^3*T2^4 + 768*T1^4*T2^4 + 24*T1^5*T2^4 - 292*T1^6*T2^4 + 
      322*T1^7*T2^4 - 41*T1^8*T2^4 - 55*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 188*T1^2*T2^5 + 192*T1^3*T2^5 + 24*T1^4*T2^5 - 
      1015*T1^5*T2^5 + 785*T1^6*T2^5 - 251*T1^7*T2^5 - 258*T1^8*T2^5 + 
      197*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      87*T1^2*T2^6 + 16*T1^3*T2^6 - 292*T1^4*T2^6 + 785*T1^5*T2^6 - 
      24*T1^6*T2^6 - 665*T1^7*T2^6 + 694*T1^8*T2^6 - 184*T1^9*T2^6 - 
      105*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 133*T1^3*T2^7 + 322*T1^4*T2^7 - 251*T1^5*T2^7 - 
      665*T1^6*T2^7 + 1135*T1^7*T2^7 - 526*T1^8*T2^7 - 128*T1^9*T2^7 + 
      252*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      55*T1^3*T2^8 - 41*T1^4*T2^8 - 258*T1^5*T2^8 + 694*T1^6*T2^8 - 
      526*T1^7*T2^8 - 366*T1^8*T2^8 + 582*T1^9*T2^8 - 307*T1^10*T2^8 - 
      15*T1^11*T2^8 + 33*T1^12*T2^8 - 55*T1^4*T2^9 + 197*T1^5*T2^9 - 
      184*T1^6*T2^9 - 128*T1^7*T2^9 + 582*T1^8*T2^9 - 344*T1^9*T2^9 + 
      32*T1^10*T2^9 + 115*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 105*T1^6*T2^10 + 252*T1^7*T2^10 - 307*T1^8*T2^10 + 
      32*T1^9*T2^10 + 115*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 15*T1^8*T2^11 + 
      115*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 5] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 68*T1^2 + 84*T1^3 - 68*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 327*T1^2*T2 - 228*T1^3*T2 + 38*T1^4*T2 + 159*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 68*T2^2 + 327*T1*T2^2 - 143*T1^2*T2^2 - 
     857*T1^3*T2^2 + 1353*T1^4*T2^2 - 1333*T1^5*T2^2 + 401*T1^6*T2^2 + 
     89*T1^7*T2^2 - 34*T1^8*T2^2 + 84*T2^3 - 228*T1*T2^3 - 857*T1^2*T2^3 + 
     2664*T1^3*T2^3 - 2127*T1^4*T2^3 + 883*T1^5*T2^3 + 1194*T1^6*T2^3 - 
     976*T1^7*T2^3 + 94*T1^8*T2^3 + 21*T1^9*T2^3 - 68*T2^4 + 38*T1*T2^4 + 
     1353*T1^2*T2^4 - 2127*T1^3*T2^4 - 772*T1^4*T2^4 + 2594*T1^5*T2^4 - 
     3800*T1^6*T2^4 + 1149*T1^7*T2^4 + 451*T1^8*T2^4 - 144*T1^9*T2^4 + 
     28*T2^5 + 159*T1*T2^5 - 1333*T1^2*T2^5 + 883*T1^3*T2^5 + 
     2594*T1^4*T2^5 - 2999*T1^5*T2^5 + 2279*T1^6*T2^5 + 1285*T1^7*T2^5 - 
     1595*T1^8*T2^5 + 214*T1^9*T2^5 + 47*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 401*T1^2*T2^6 + 1194*T1^3*T2^6 - 3800*T1^4*T2^6 + 
     2279*T1^5*T2^6 + 12*T1^6*T2^6 - 2719*T1^7*T2^6 + 1434*T1^8*T2^6 + 
     354*T1^9*T2^6 - 291*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 89*T1^2*T2^7 - 976*T1^3*T2^7 + 1149*T1^4*T2^7 + 
     1285*T1^5*T2^7 - 2719*T1^6*T2^7 + 2559*T1^7*T2^7 - 24*T1^8*T2^7 - 
     1329*T1^9*T2^7 + 571*T1^10*T2^7 - 23*T1^11*T2^7 - 14*T1^12*T2^7 - 
     34*T1^2*T2^8 + 94*T1^3*T2^8 + 451*T1^4*T2^8 - 1595*T1^5*T2^8 + 
     1434*T1^6*T2^8 - 24*T1^7*T2^8 - 1594*T1^8*T2^8 + 1681*T1^9*T2^8 - 
     451*T1^10*T2^8 - 88*T1^11*T2^8 + 34*T1^12*T2^8 + 21*T1^3*T2^9 - 
     144*T1^4*T2^9 + 214*T1^5*T2^9 + 354*T1^6*T2^9 - 1329*T1^7*T2^9 + 
     1681*T1^8*T2^9 - 1116*T1^9*T2^9 + 95*T1^10*T2^9 + 178*T1^11*T2^9 - 
     42*T1^12*T2^9 + 47*T1^5*T2^10 - 291*T1^6*T2^10 + 571*T1^7*T2^10 - 
     451*T1^8*T2^10 + 95*T1^9*T2^10 + 253*T1^10*T2^10 - 191*T1^11*T2^10 + 
     34*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 23*T1^7*T2^11 - 
     88*T1^8*T2^11 + 178*T1^9*T2^11 - 191*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 34*T1^8*T2^12 - 
     42*T1^9*T2^12 + 34*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 6] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((-3 + 9*T1 - 9*T1^2 + 9*T1^3 - 9*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      19*T1*T2 + 4*T1^2*T2 - 7*T1^3*T2 + 11*T1^4*T2 - 14*T1^5*T2 - 
      7*T1^6*T2 + 6*T1^7*T2 - 9*T2^2 + 4*T1*T2^2 + 32*T1^2*T2^2 - 
      16*T1^3*T2^2 + 16*T1^4*T2^2 - 16*T1^5*T2^2 + 44*T1^6*T2^2 - 
      14*T1^7*T2^2 - 3*T1^8*T2^2 + 9*T2^3 - 7*T1*T2^3 - 16*T1^2*T2^3 - 
      4*T1^3*T2^3 - T1^4*T2^3 - T1^5*T2^3 - 22*T1^6*T2^3 - 7*T1^7*T2^3 + 
      11*T1^8*T2^3 - 9*T2^4 + 11*T1*T2^4 + 16*T1^2*T2^4 - T1^3*T2^4 - 
      46*T1^4*T2^4 + 48*T1^5*T2^4 - 22*T1^6*T2^4 - T1^7*T2^4 - 2*T1^8*T2^4 - 
      7*T1^9*T2^4 + 3*T1^10*T2^4 + 9*T2^5 - 14*T1*T2^5 - 16*T1^2*T2^5 - 
      T1^3*T2^5 + 48*T1^4*T2^5 + 21*T1^5*T2^5 - 27*T1^6*T2^5 + 57*T1^7*T2^5 - 
      T1^8*T2^5 + 11*T1^9*T2^5 + 4*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 
      7*T1*T2^6 + 44*T1^2*T2^6 - 22*T1^3*T2^6 - 22*T1^4*T2^6 - 27*T1^5*T2^6 - 
      48*T1^6*T2^6 + 27*T1^7*T2^6 - 76*T1^8*T2^6 + 14*T1^9*T2^6 - 
      28*T1^10*T2^6 + 11*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 
      14*T1^2*T2^7 - 7*T1^3*T2^7 - T1^4*T2^7 + 57*T1^5*T2^7 + 27*T1^6*T2^7 - 
      21*T1^7*T2^7 + 66*T1^8*T2^7 - T1^9*T2^7 + 20*T1^10*T2^7 + 
      4*T1^11*T2^7 - 9*T1^12*T2^7 - 3*T1^2*T2^8 + 11*T1^3*T2^8 - 
      2*T1^4*T2^8 - T1^5*T2^8 - 76*T1^6*T2^8 + 66*T1^7*T2^8 - 52*T1^8*T2^8 - 
      T1^9*T2^8 - 20*T1^10*T2^8 - 7*T1^11*T2^8 + 9*T1^12*T2^8 - 7*T1^4*T2^9 + 
      11*T1^5*T2^9 + 14*T1^6*T2^9 - T1^7*T2^9 - T1^8*T2^9 - 4*T1^9*T2^9 + 
      20*T1^10*T2^9 + 11*T1^11*T2^9 - 9*T1^12*T2^9 + 3*T1^4*T2^10 + 
      4*T1^5*T2^10 - 28*T1^6*T2^10 + 20*T1^7*T2^10 - 20*T1^8*T2^10 + 
      20*T1^9*T2^10 - 16*T1^10*T2^10 - 14*T1^11*T2^10 + 9*T1^12*T2^10 - 
      6*T1^5*T2^11 + 11*T1^6*T2^11 + 4*T1^7*T2^11 - 7*T1^8*T2^11 + 
      11*T1^9*T2^11 - 14*T1^10*T2^11 + 23*T1^11*T2^11 - 9*T1^12*T2^11 + 
      3*T1^6*T2^12 - 9*T1^7*T2^12 + 9*T1^8*T2^12 - 9*T1^9*T2^12 + 
      9*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 7] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 64*T1^2 + 84*T1^3 - 64*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 276*T1^2*T2 - 216*T1^3*T2 + 6*T1^4*T2 + 144*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 64*T2^2 + 276*T1*T2^2 - 405*T1^2*T2^2 - 
     195*T1^3*T2^2 + 739*T1^4*T2^2 - 675*T1^5*T2^2 + 75*T1^6*T2^2 + 
     84*T1^7*T2^2 - 32*T1^8*T2^2 + 84*T2^3 - 216*T1*T2^3 - 195*T1^2*T2^3 + 
     1689*T1^3*T2^3 - 1759*T1^4*T2^3 + 407*T1^5*T2^3 + 963*T1^6*T2^3 - 
     531*T1^7*T2^3 + 66*T1^8*T2^3 + 21*T1^9*T2^3 - 64*T2^4 + 6*T1*T2^4 + 
     739*T1^2*T2^4 - 1759*T1^3*T2^4 - 332*T1^4*T2^4 + 2876*T1^5*T2^4 - 
     3152*T1^6*T2^4 + 677*T1^7*T2^4 + 251*T1^8*T2^4 - 126*T1^9*T2^4 + 
     24*T2^5 + 144*T1*T2^5 - 675*T1^2*T2^5 + 407*T1^3*T2^5 + 2876*T1^4*T2^5 - 
     4276*T1^5*T2^5 + 2030*T1^6*T2^5 + 1340*T1^7*T2^5 - 1219*T1^8*T2^5 + 
     237*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     75*T1^2*T2^6 + 963*T1^3*T2^6 - 3152*T1^4*T2^6 + 2030*T1^5*T2^6 + 
     1656*T1^6*T2^6 - 3526*T1^7*T2^6 + 1600*T1^8*T2^6 + 69*T1^9*T2^6 - 
     181*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     84*T1^2*T2^7 - 531*T1^3*T2^7 + 677*T1^4*T2^7 + 1340*T1^5*T2^7 - 
     3526*T1^6*T2^7 + 2780*T1^7*T2^7 - 196*T1^8*T2^7 - 949*T1^9*T2^7 + 
     381*T1^10*T2^7 - 24*T1^11*T2^7 - 12*T1^12*T2^7 - 32*T1^2*T2^8 + 
     66*T1^3*T2^8 + 251*T1^4*T2^8 - 1219*T1^5*T2^8 + 1600*T1^6*T2^8 - 
     196*T1^7*T2^8 - 1220*T1^8*T2^8 + 1217*T1^9*T2^8 - 237*T1^10*T2^8 - 
     66*T1^11*T2^8 + 32*T1^12*T2^8 + 21*T1^3*T2^9 - 126*T1^4*T2^9 + 
     237*T1^5*T2^9 + 69*T1^6*T2^9 - 949*T1^7*T2^9 + 1217*T1^8*T2^9 - 
     657*T1^9*T2^9 - 99*T1^10*T2^9 + 156*T1^11*T2^9 - 42*T1^12*T2^9 + 
     36*T1^5*T2^10 - 181*T1^6*T2^10 + 381*T1^7*T2^10 - 237*T1^8*T2^10 - 
     99*T1^9*T2^10 + 299*T1^10*T2^10 - 156*T1^11*T2^10 + 32*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 24*T1^7*T2^11 - 66*T1^8*T2^11 + 
     156*T1^9*T2^11 - 156*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 32*T1^8*T2^12 - 42*T1^9*T2^12 + 
     32*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 8] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((-1 + 6*T1 - 12*T1^2 + 15*T1^3 - 12*T1^4 + 6*T1^5 - T1^6 + 6*T2 - 
      36*T1*T2 + 72*T1^2*T2 - 90*T1^3*T2 + 72*T1^4*T2 - 36*T1^5*T2 + 
      6*T1^6*T2 - 12*T2^2 + 72*T1*T2^2 - 119*T1^2*T2^2 + 79*T1^3*T2^2 + 
      39*T1^4*T2^2 - 137*T1^5*T2^2 + 145*T1^6*T2^2 - 72*T1^7*T2^2 + 
      12*T1^8*T2^2 + 15*T2^3 - 90*T1*T2^3 + 79*T1^2*T2^3 + 193*T1^3*T2^3 - 
      516*T1^4*T2^3 + 618*T1^5*T2^3 - 383*T1^6*T2^3 + 43*T1^7*T2^3 + 
      108*T1^8*T2^3 - 30*T1^9*T2^3 - 12*T2^4 + 72*T1*T2^4 + 39*T1^2*T2^4 - 
      516*T1^3*T2^4 + 676*T1^4*T2^4 - 312*T1^5*T2^4 - 416*T1^6*T2^4 + 
      744*T1^7*T2^4 - 465*T1^8*T2^4 - 36*T1^9*T2^4 + 36*T1^10*T2^4 + 6*T2^5 - 
      36*T1*T2^5 - 137*T1^2*T2^5 + 618*T1^3*T2^5 - 312*T1^4*T2^5 - 
      322*T1^5*T2^5 + 860*T1^6*T2^5 - 456*T1^7*T2^5 - 264*T1^8*T2^5 + 
      619*T1^9*T2^5 - 72*T1^10*T2^5 - 24*T1^11*T2^5 - T2^6 + 6*T1*T2^6 + 
      145*T1^2*T2^6 - 383*T1^3*T2^6 - 416*T1^4*T2^6 + 860*T1^5*T2^6 - 
      792*T1^6*T2^6 - 184*T1^7*T2^6 + 664*T1^8*T2^6 - 473*T1^9*T2^6 - 
      359*T1^10*T2^6 + 114*T1^11*T2^6 + 5*T1^12*T2^6 - 72*T1^2*T2^7 + 
      43*T1^3*T2^7 + 744*T1^4*T2^7 - 456*T1^5*T2^7 - 184*T1^6*T2^7 + 
      998*T1^7*T2^7 - 600*T1^8*T2^7 - 138*T1^9*T2^7 + 799*T1^10*T2^7 - 
      108*T1^11*T2^7 - 30*T1^12*T2^7 + 12*T1^2*T2^8 + 108*T1^3*T2^8 - 
      465*T1^4*T2^8 - 264*T1^5*T2^8 + 664*T1^6*T2^8 - 600*T1^7*T2^8 - 
      428*T1^8*T2^8 + 996*T1^9*T2^8 - 969*T1^10*T2^8 + 60*T1^12*T2^8 - 
      30*T1^3*T2^9 - 36*T1^4*T2^9 + 619*T1^5*T2^9 - 473*T1^6*T2^9 - 
      138*T1^7*T2^9 + 996*T1^8*T2^9 - 1049*T1^9*T2^9 + 583*T1^10*T2^9 + 
      162*T1^11*T2^9 - 75*T1^12*T2^9 + 36*T1^4*T2^10 - 72*T1^5*T2^10 - 
      359*T1^6*T2^10 + 799*T1^7*T2^10 - 969*T1^8*T2^10 + 583*T1^9*T2^10 - 
      95*T1^10*T2^10 - 216*T1^11*T2^10 + 60*T1^12*T2^10 - 24*T1^5*T2^11 + 
      114*T1^6*T2^11 - 108*T1^7*T2^11 + 162*T1^9*T2^11 - 216*T1^10*T2^11 + 
      156*T1^11*T2^11 - 30*T1^12*T2^11 + 5*T1^6*T2^12 - 30*T1^7*T2^12 + 
      60*T1^8*T2^12 - 75*T1^9*T2^12 + 60*T1^10*T2^12 - 30*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 9] -> 
  {-((1 - 3*T + T^2 + 4*T^3 - 7*T^4 + 4*T^5 + T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 7*T1^2 - 28*T1^3 + 49*T1^4 - 28*T1^5 - 7*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 - 33*T1^2*T2 + 102*T1^3*T2 - 75*T1^4*T2 - 
      42*T1^5*T2 + 93*T1^6*T2 - 45*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 
      7*T2^2 - 33*T1*T2^2 + 148*T1^2*T2^2 - 64*T1^3*T2^2 - 170*T1^4*T2^2 + 
      324*T1^5*T2^2 - 186*T1^6*T2^2 - 50*T1^7*T2^2 + 148*T1^8*T2^2 - 
      39*T1^9*T2^2 - 5*T1^10*T2^2 - 28*T2^3 + 102*T1*T2^3 - 64*T1^2*T2^3 - 
      151*T1^3*T2^3 + 304*T1^4*T2^3 - 177*T1^5*T2^3 - 108*T1^6*T2^3 + 
      247*T1^7*T2^3 - 127*T1^8*T2^3 - 40*T1^9*T2^3 + 63*T1^10*T2^3 - 
      16*T1^11*T2^3 + 49*T2^4 - 75*T1*T2^4 - 170*T1^2*T2^4 + 304*T1^3*T2^4 - 
      136*T1^4*T2^4 - 306*T1^5*T2^4 + 496*T1^6*T2^4 - 310*T1^7*T2^4 - 
      80*T1^8*T2^4 + 192*T1^9*T2^4 - 126*T1^10*T2^4 - 15*T1^11*T2^4 + 
      21*T1^12*T2^4 - 28*T2^5 - 42*T1*T2^5 + 324*T1^2*T2^5 - 177*T1^3*T2^5 - 
      306*T1^4*T2^5 + 685*T1^5*T2^5 - 400*T1^6*T2^5 - 175*T1^7*T2^5 + 
      505*T1^8*T2^5 - 241*T1^9*T2^5 - 50*T1^10*T2^5 + 159*T1^11*T2^5 - 
      39*T1^12*T2^5 - 8*T1^13*T2^5 - 7*T2^6 + 93*T1*T2^6 - 186*T1^2*T2^6 - 
      108*T1^3*T2^6 + 496*T1^4*T2^6 - 400*T1^5*T2^6 - 172*T1^6*T2^6 + 
      572*T1^7*T2^6 - 396*T1^8*T2^6 - 90*T1^9*T2^6 + 262*T1^10*T2^6 - 
      90*T1^11*T2^6 - 50*T1^12*T2^6 + 27*T1^13*T2^6 - T1^14*T2^6 + 21*T2^7 - 
      45*T1*T2^7 - 50*T1^2*T2^7 + 247*T1^3*T2^7 - 310*T1^4*T2^7 - 
      175*T1^5*T2^7 + 572*T1^6*T2^7 - 454*T1^7*T2^7 - 86*T1^8*T2^7 + 
      374*T1^9*T2^7 - 230*T1^10*T2^7 - 99*T1^11*T2^7 + 84*T1^12*T2^7 - 
      14*T1^13*T2^7 + 3*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 148*T1^2*T2^8 - 
      127*T1^3*T2^8 - 80*T1^4*T2^8 + 505*T1^5*T2^8 - 396*T1^6*T2^8 - 
      86*T1^7*T2^8 + 468*T1^8*T2^8 - 338*T1^9*T2^8 + 20*T1^10*T2^8 + 
      175*T1^11*T2^8 - 12*T1^12*T2^8 - 21*T1^13*T2^8 - 2*T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 39*T1^2*T2^9 - 40*T1^3*T2^9 + 
      192*T1^4*T2^9 - 241*T1^5*T2^9 - 90*T1^6*T2^9 + 374*T1^7*T2^9 - 
      338*T1^8*T2^9 + 30*T1^9*T2^9 + 176*T1^10*T2^9 - 145*T1^11*T2^9 - 
      30*T1^12*T2^9 + 29*T1^13*T2^9 - 4*T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 - 5*T1^2*T2^10 + 63*T1^3*T2^10 - 126*T1^4*T2^10 - 
      50*T1^5*T2^10 + 262*T1^6*T2^10 - 230*T1^7*T2^10 + 20*T1^8*T2^10 + 
      176*T1^9*T2^10 - 204*T1^10*T2^10 + 80*T1^11*T2^10 + 28*T1^12*T2^10 - 
      32*T1^13*T2^10 + 10*T1^14*T2^10 - 3*T1^15*T2^10 + T1^16*T2^10 - 
      16*T1^3*T2^11 - 15*T1^4*T2^11 + 159*T1^5*T2^11 - 90*T1^6*T2^11 - 
      99*T1^7*T2^11 + 175*T1^8*T2^11 - 145*T1^9*T2^11 + 80*T1^10*T2^11 - 
      5*T1^11*T2^11 - 34*T1^12*T2^11 + 37*T1^13*T2^11 - 6*T1^14*T2^11 - 
      12*T1^15*T2^11 + 4*T1^16*T2^11 + 21*T1^4*T2^12 - 39*T1^5*T2^12 - 
      50*T1^6*T2^12 + 84*T1^7*T2^12 - 12*T1^8*T2^12 - 30*T1^9*T2^12 + 
      28*T1^10*T2^12 - 34*T1^11*T2^12 + 44*T1^12*T2^12 - 28*T1^13*T2^12 - 
      6*T1^14*T2^12 + 21*T1^15*T2^12 - 7*T1^16*T2^12 - 8*T1^5*T2^13 + 
      27*T1^6*T2^13 - 14*T1^7*T2^13 - 21*T1^8*T2^13 + 29*T1^9*T2^13 - 
      32*T1^10*T2^13 + 37*T1^11*T2^13 - 28*T1^12*T2^13 + 3*T1^13*T2^13 + 
      10*T1^14*T2^13 - 12*T1^15*T2^13 + 4*T1^16*T2^13 - T1^6*T2^14 + 
      3*T1^7*T2^14 - 2*T1^8*T2^14 - 4*T1^9*T2^14 + 10*T1^10*T2^14 - 
      6*T1^11*T2^14 - 6*T1^12*T2^14 + 10*T1^13*T2^14 - 2*T1^14*T2^14 - 
      3*T1^15*T2^14 + T1^16*T2^14 - 3*T1^8*T2^15 + 9*T1^9*T2^15 - 
      3*T1^10*T2^15 - 12*T1^11*T2^15 + 21*T1^12*T2^15 - 12*T1^13*T2^15 - 
      3*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + T1^10*T2^16 + 4*T1^11*T2^16 - 7*T1^12*T2^16 + 
      4*T1^13*T2^16 + T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 10] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((-1 + 7*T1 - 15*T1^2 + 19*T1^3 - 15*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      47*T1*T2 + 105*T1^2*T2 - 133*T1^3*T2 + 105*T1^4*T2 - 49*T1^5*T2 + 
      9*T1^6*T2 - 15*T2^2 + 105*T1*T2^2 - 242*T1^2*T2^2 + 230*T1^3*T2^2 - 
      60*T1^4*T2^2 - 130*T1^5*T2^2 + 178*T1^6*T2^2 - 105*T1^7*T2^2 + 
      15*T1^8*T2^2 + 19*T2^3 - 133*T1*T2^3 + 230*T1^2*T2^3 + 286*T1^3*T2^3 - 
      996*T1^4*T2^3 + 1320*T1^5*T2^3 - 884*T1^6*T2^3 + 215*T1^7*T2^3 + 
      161*T1^8*T2^3 - 38*T1^9*T2^3 - 15*T2^4 + 105*T1*T2^4 - 60*T1^2*T2^4 - 
      996*T1^3*T2^4 + 1428*T1^4*T2^4 - 686*T1^5*T2^4 - 924*T1^6*T2^4 + 
      1588*T1^7*T2^4 - 1022*T1^8*T2^4 - 49*T1^9*T2^4 + 45*T1^10*T2^4 + 
      7*T2^5 - 49*T1*T2^5 - 130*T1^2*T2^5 + 1320*T1^3*T2^5 - 686*T1^4*T2^5 - 
      875*T1^5*T2^5 + 2165*T1^6*T2^5 - 1181*T1^7*T2^5 - 460*T1^8*T2^5 + 
      1265*T1^9*T2^5 - 119*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 9*T1*T2^6 + 
      178*T1^2*T2^6 - 884*T1^3*T2^6 - 924*T1^4*T2^6 + 2165*T1^5*T2^6 - 
      1896*T1^6*T2^6 - 533*T1^7*T2^6 + 1742*T1^8*T2^6 - 1208*T1^9*T2^6 - 
      654*T1^10*T2^6 + 163*T1^11*T2^6 + 5*T1^12*T2^6 - 105*T1^2*T2^7 + 
      215*T1^3*T2^7 + 1588*T1^4*T2^7 - 1181*T1^5*T2^7 - 533*T1^6*T2^7 + 
      2507*T1^7*T2^7 - 1676*T1^8*T2^7 - 192*T1^9*T2^7 + 1610*T1^10*T2^7 - 
      175*T1^11*T2^7 - 35*T1^12*T2^7 + 15*T1^2*T2^8 + 161*T1^3*T2^8 - 
      1022*T1^4*T2^8 - 460*T1^5*T2^8 + 1742*T1^6*T2^8 - 1676*T1^7*T2^8 - 
      610*T1^8*T2^8 + 2124*T1^9*T2^8 - 1984*T1^10*T2^8 + 7*T1^11*T2^8 + 
      75*T1^12*T2^8 - 38*T1^3*T2^9 - 49*T1^4*T2^9 + 1265*T1^5*T2^9 - 
      1208*T1^6*T2^9 - 192*T1^7*T2^9 + 2124*T1^8*T2^9 - 2378*T1^9*T2^9 + 
      1250*T1^10*T2^9 + 245*T1^11*T2^9 - 95*T1^12*T2^9 + 45*T1^4*T2^10 - 
      119*T1^5*T2^10 - 654*T1^6*T2^10 + 1610*T1^7*T2^10 - 1984*T1^8*T2^10 + 
      1250*T1^9*T2^10 - 234*T1^10*T2^10 - 329*T1^11*T2^10 + 75*T1^12*T2^10 - 
      28*T1^5*T2^11 + 163*T1^6*T2^11 - 175*T1^7*T2^11 + 7*T1^8*T2^11 + 
      245*T1^9*T2^11 - 329*T1^10*T2^11 + 219*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 75*T1^8*T2^12 - 95*T1^9*T2^12 + 
      75*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 11] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 52*T1^2 + 68*T1^3 - 52*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 187*T1^2*T2 - 146*T1^3*T2 + 4*T1^4*T2 + 97*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 52*T2^2 + 187*T1*T2^2 - 346*T1^2*T2^2 + 
     57*T1^3*T2^2 + 244*T1^4*T2^2 - 255*T1^5*T2^2 - 34*T1^6*T2^2 + 
     57*T1^7*T2^2 - 26*T1^8*T2^2 + 68*T2^3 - 146*T1*T2^3 + 57*T1^2*T2^3 + 
     764*T1^3*T2^3 - 839*T1^4*T2^3 + 193*T1^5*T2^3 + 512*T1^6*T2^3 - 
     216*T1^7*T2^3 + 44*T1^8*T2^3 + 17*T1^9*T2^3 - 52*T2^4 + 4*T1*T2^4 + 
     244*T1^2*T2^4 - 839*T1^3*T2^4 - 368*T1^4*T2^4 + 1692*T1^5*T2^4 - 
     1784*T1^6*T2^4 + 317*T1^7*T2^4 + 70*T1^8*T2^4 - 86*T1^9*T2^4 + 20*T2^5 + 
     97*T1*T2^5 - 255*T1^2*T2^5 + 193*T1^3*T2^5 + 1692*T1^4*T2^5 - 
     2285*T1^5*T2^5 + 985*T1^6*T2^5 + 899*T1^7*T2^5 - 591*T1^8*T2^5 + 
     174*T1^9*T2^5 + 27*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     34*T1^2*T2^6 + 512*T1^3*T2^6 - 1784*T1^4*T2^6 + 985*T1^5*T2^6 + 
     960*T1^6*T2^6 - 1901*T1^7*T2^6 + 650*T1^8*T2^6 + 20*T1^9*T2^6 - 
     118*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     57*T1^2*T2^7 - 216*T1^3*T2^7 + 317*T1^4*T2^7 + 899*T1^5*T2^7 - 
     1901*T1^6*T2^7 + 1369*T1^7*T2^7 + 106*T1^8*T2^7 - 467*T1^9*T2^7 + 
     213*T1^10*T2^7 - 13*T1^11*T2^7 - 10*T1^12*T2^7 - 26*T1^2*T2^8 + 
     44*T1^3*T2^8 + 70*T1^4*T2^8 - 591*T1^5*T2^8 + 650*T1^6*T2^8 + 
     106*T1^7*T2^8 - 766*T1^8*T2^8 + 565*T1^9*T2^8 - 104*T1^10*T2^8 - 
     46*T1^11*T2^8 + 26*T1^12*T2^8 + 17*T1^3*T2^9 - 86*T1^4*T2^9 + 
     174*T1^5*T2^9 + 20*T1^6*T2^9 - 467*T1^7*T2^9 + 565*T1^8*T2^9 - 
     232*T1^9*T2^9 - 99*T1^10*T2^9 + 104*T1^11*T2^9 - 34*T1^12*T2^9 + 
     27*T1^5*T2^10 - 118*T1^6*T2^10 + 213*T1^7*T2^10 - 104*T1^8*T2^10 - 
     99*T1^9*T2^10 + 194*T1^10*T2^10 - 103*T1^11*T2^10 + 26*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 13*T1^7*T2^11 - 46*T1^8*T2^11 + 
     104*T1^9*T2^11 - 103*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 26*T1^8*T2^12 - 34*T1^9*T2^12 + 
     26*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 12] -> 
  {(1 - 3*T + 5*T^2 - 3*T^3 + T^4)/T^2, 
   (-2 + 6*T1 - 10*T1^2 + 6*T1^3 - 2*T1^4 + 6*T2 - 15*T1*T2 + 22*T1^2*T2 - 
     2*T1^3*T2 - 3*T1^4*T2 + 3*T1^5*T2 - 10*T2^2 + 22*T1*T2^2 - 
     43*T1^2*T2^2 + 5*T1^3*T2^2 - 3*T1^4*T2^2 - 8*T1^5*T2^2 + 6*T2^3 - 
     2*T1*T2^3 + 5*T1^2*T2^3 + 58*T1^3*T2^3 - 26*T1^4*T2^3 + 20*T1^5*T2^3 + 
     10*T1^6*T2^3 - 3*T1^7*T2^3 - 2*T2^4 - 3*T1*T2^4 - 3*T1^2*T2^4 - 
     26*T1^3*T2^4 - 36*T1^4*T2^4 + 34*T1^5*T2^4 - 37*T1^6*T2^4 + 
     3*T1^7*T2^4 + 2*T1^8*T2^4 + 3*T1*T2^5 - 8*T1^2*T2^5 + 20*T1^3*T2^5 + 
     34*T1^4*T2^5 - 50*T1^5*T2^5 + 35*T1^6*T2^5 + 4*T1^7*T2^5 - 6*T1^8*T2^5 + 
     10*T1^3*T2^6 - 37*T1^4*T2^6 + 35*T1^5*T2^6 + 3*T1^6*T2^6 - 
     20*T1^7*T2^6 + 10*T1^8*T2^6 - 3*T1^3*T2^7 + 3*T1^4*T2^7 + 4*T1^5*T2^7 - 
     20*T1^6*T2^7 + 15*T1^7*T2^7 - 6*T1^8*T2^7 + 2*T1^4*T2^8 - 6*T1^5*T2^8 + 
     10*T1^6*T2^8 - 6*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 13] -> 
  {-((1 - 3*T + 2*T^2 - T^3 + T^4 - T^5 + 2*T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 14*T1^2 + 7*T1^3 - 7*T1^4 + 7*T1^5 - 14*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 - 12*T1^2*T2 + 15*T1^3*T2 + 3*T1^4*T2 - 
      3*T1^5*T2 + 24*T1^6*T2 - 27*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 
      14*T2^2 - 12*T1*T2^2 + 123*T1^2*T2^2 - 63*T1^3*T2^2 + 19*T1^4*T2^2 - 
      29*T1^5*T2^2 + 15*T1^6*T2^2 - 55*T1^7*T2^2 + 127*T1^8*T2^2 - 
      24*T1^9*T2^2 - 10*T1^10*T2^2 + 7*T2^3 + 15*T1*T2^3 - 63*T1^2*T2^3 - 
      21*T1^3*T2^3 + 21*T1^4*T2^3 + 6*T1^5*T2^3 + 3*T1^6*T2^3 + 
      27*T1^7*T2^3 - 45*T1^8*T2^3 - 45*T1^9*T2^3 + 18*T1^10*T2^3 + 
      4*T1^11*T2^3 - 7*T2^4 + 3*T1*T2^4 + 19*T1^2*T2^4 + 21*T1^3*T2^4 - 
      5*T1^4*T2^4 - 2*T1^5*T2^4 - 11*T1^6*T2^4 + 7*T1^8*T2^4 + 23*T1^9*T2^4 + 
      9*T1^10*T2^4 - 3*T1^11*T2^4 - 3*T1^12*T2^4 + 7*T2^5 - 3*T1*T2^5 - 
      29*T1^2*T2^5 + 6*T1^3*T2^5 - 2*T1^4*T2^5 - 4*T1^5*T2^5 + 9*T1^6*T2^5 + 
      7*T1^7*T2^5 - 24*T1^8*T2^5 + T1^9*T2^5 + T1^10*T2^5 - 14*T1^11*T2^5 + 
      3*T1^12*T2^5 + 2*T1^13*T2^5 - 14*T2^6 + 24*T1*T2^6 + 15*T1^2*T2^6 + 
      3*T1^3*T2^6 - 11*T1^4*T2^6 + 9*T1^5*T2^6 - 17*T1^6*T2^6 + 5*T1^7*T2^6 + 
      15*T1^8*T2^6 + 5*T1^9*T2^6 - 7*T1^10*T2^6 + 3*T1^11*T2^6 + 
      7*T1^12*T2^6 - 2*T1^14*T2^6 + 21*T2^7 - 27*T1*T2^7 - 55*T1^2*T2^7 + 
      27*T1^3*T2^7 + 7*T1^5*T2^7 + 5*T1^6*T2^7 + 16*T1^7*T2^7 - 
      34*T1^8*T2^7 + 2*T1^9*T2^7 + 5*T1^10*T2^7 + T1^11*T2^7 + 5*T1^12*T2^7 - 
      13*T1^13*T2^7 + 6*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 127*T1^2*T2^8 - 
      45*T1^3*T2^8 + 7*T1^4*T2^8 - 24*T1^5*T2^8 + 15*T1^6*T2^8 - 
      34*T1^7*T2^8 + 12*T1^8*T2^8 + 26*T1^9*T2^8 - 19*T1^10*T2^8 + 
      8*T1^11*T2^8 - 13*T1^12*T2^8 + 9*T1^13*T2^8 - 3*T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 24*T1^2*T2^9 - 45*T1^3*T2^9 + 
      23*T1^4*T2^9 + T1^5*T2^9 + 5*T1^6*T2^9 + 2*T1^7*T2^9 + 26*T1^8*T2^9 - 
      24*T1^9*T2^9 - T1^10*T2^9 + 3*T1^11*T2^9 + 2*T1^12*T2^9 + T1^13*T2^9 - 
      3*T1^14*T2^9 + 9*T1^15*T2^9 - 3*T1^16*T2^9 - 10*T1^2*T2^10 + 
      18*T1^3*T2^10 + 9*T1^4*T2^10 + T1^5*T2^10 - 7*T1^6*T2^10 + 
      5*T1^7*T2^10 - 19*T1^8*T2^10 - T1^9*T2^10 + 13*T1^10*T2^10 + 
      T1^11*T2^10 - 3*T1^12*T2^10 + T1^13*T2^10 + T1^14*T2^10 - 
      6*T1^15*T2^10 + 2*T1^16*T2^10 + 4*T1^3*T2^11 - 3*T1^4*T2^11 - 
      14*T1^5*T2^11 + 3*T1^6*T2^11 + T1^7*T2^11 + 8*T1^8*T2^11 + 
      3*T1^9*T2^11 + T1^10*T2^11 - 12*T1^11*T2^11 + 4*T1^12*T2^11 - 
      2*T1^13*T2^11 + T1^14*T2^11 + 3*T1^15*T2^11 - T1^16*T2^11 - 
      3*T1^4*T2^12 + 3*T1^5*T2^12 + 7*T1^6*T2^12 + 5*T1^7*T2^12 - 
      13*T1^8*T2^12 + 2*T1^9*T2^12 - 3*T1^10*T2^12 + 4*T1^11*T2^12 - 
      T1^12*T2^12 + 7*T1^13*T2^12 - 3*T1^14*T2^12 - 3*T1^15*T2^12 + 
      T1^16*T2^12 + 2*T1^5*T2^13 - 13*T1^7*T2^13 + 9*T1^8*T2^13 + 
      T1^9*T2^13 + T1^10*T2^13 - 2*T1^11*T2^13 + 7*T1^12*T2^13 - 
      15*T1^13*T2^13 + 5*T1^14*T2^13 + 3*T1^15*T2^13 - T1^16*T2^13 - 
      2*T1^6*T2^14 + 6*T1^7*T2^14 - 3*T1^8*T2^14 - 3*T1^9*T2^14 + 
      T1^10*T2^14 + T1^11*T2^14 - 3*T1^12*T2^14 + 5*T1^13*T2^14 + 
      T1^14*T2^14 - 6*T1^15*T2^14 + 2*T1^16*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 - 6*T1^10*T2^15 + 3*T1^11*T2^15 - 3*T1^12*T2^15 + 
      3*T1^13*T2^15 - 6*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 2*T1^10*T2^16 - T1^11*T2^16 + T1^12*T2^16 - 
      T1^13*T2^16 + 2*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 14] -> 
  {-((1 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + T^6)/T^3), 
   -((-1 + 6*T1 - 10*T1^2 + 11*T1^3 - 10*T1^4 + 6*T1^5 - T1^6 + 6*T2 - 
      34*T1*T2 + 60*T1^2*T2 - 66*T1^3*T2 + 60*T1^4*T2 - 36*T1^5*T2 + 
      8*T1^6*T2 - 10*T2^2 + 60*T1*T2^2 - 119*T1^2*T2^2 + 91*T1^3*T2^2 - 
      45*T1^4*T2^2 - 9*T1^5*T2^2 + 61*T1^6*T2^2 - 60*T1^7*T2^2 + 
      10*T1^8*T2^2 + 11*T2^3 - 66*T1*T2^3 + 91*T1^2*T2^3 + 177*T1^3*T2^3 - 
      339*T1^4*T2^3 + 393*T1^5*T2^3 - 387*T1^6*T2^3 + 181*T1^7*T2^3 + 
      72*T1^8*T2^3 - 22*T1^9*T2^3 - 10*T2^4 + 60*T1*T2^4 - 45*T1^2*T2^4 - 
      339*T1^3*T2^4 + 241*T1^4*T2^4 - 85*T1^5*T2^4 - 59*T1^6*T2^4 + 
      409*T1^7*T2^4 - 437*T1^8*T2^4 - 48*T1^9*T2^4 + 30*T1^10*T2^4 + 6*T2^5 - 
      36*T1*T2^5 - 9*T1^2*T2^5 + 393*T1^3*T2^5 - 85*T1^4*T2^5 + 
      152*T1^5*T2^5 - 208*T1^6*T2^5 + 15*T1^7*T2^5 - 307*T1^8*T2^5 + 
      661*T1^9*T2^5 - 36*T1^10*T2^5 - 24*T1^11*T2^5 - T2^6 + 8*T1*T2^6 + 
      61*T1^2*T2^6 - 387*T1^3*T2^6 - 59*T1^4*T2^6 - 208*T1^5*T2^6 + 
      192*T1^6*T2^6 + 52*T1^7*T2^6 + 217*T1^8*T2^6 - 213*T1^9*T2^6 - 
      543*T1^10*T2^6 + 116*T1^11*T2^6 + 5*T1^12*T2^6 - 60*T1^2*T2^7 + 
      181*T1^3*T2^7 + 409*T1^4*T2^7 + 15*T1^5*T2^7 + 52*T1^6*T2^7 - 
      308*T1^7*T2^7 + 115*T1^8*T2^7 - 291*T1^9*T2^7 + 851*T1^10*T2^7 - 
      60*T1^11*T2^7 - 30*T1^12*T2^7 + 10*T1^2*T2^8 + 72*T1^3*T2^8 - 
      437*T1^4*T2^8 - 307*T1^5*T2^8 + 217*T1^6*T2^8 + 115*T1^7*T2^8 - 
      83*T1^8*T2^8 + 441*T1^9*T2^8 - 829*T1^10*T2^8 - 36*T1^11*T2^8 + 
      50*T1^12*T2^8 - 22*T1^3*T2^9 - 48*T1^4*T2^9 + 661*T1^5*T2^9 - 
      213*T1^6*T2^9 - 291*T1^7*T2^9 + 441*T1^8*T2^9 - 777*T1^9*T2^9 + 
      751*T1^10*T2^9 + 90*T1^11*T2^9 - 55*T1^12*T2^9 + 30*T1^4*T2^10 - 
      36*T1^5*T2^10 - 543*T1^6*T2^10 + 851*T1^7*T2^10 - 829*T1^8*T2^10 + 
      751*T1^9*T2^10 - 363*T1^10*T2^10 - 156*T1^11*T2^10 + 50*T1^12*T2^10 - 
      24*T1^5*T2^11 + 116*T1^6*T2^11 - 60*T1^7*T2^11 - 36*T1^8*T2^11 + 
      90*T1^9*T2^11 - 156*T1^10*T2^11 + 158*T1^11*T2^11 - 30*T1^12*T2^11 + 
      5*T1^6*T2^12 - 30*T1^7*T2^12 + 50*T1^8*T2^12 - 55*T1^9*T2^12 + 
      50*T1^10*T2^12 - 30*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 15] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 32*T1^2 + 36*T1^3 - 32*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 81*T1^2*T2 - 48*T1^3*T2 + 20*T1^4*T2 + 33*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 32*T2^2 + 81*T1*T2^2 - 88*T1^2*T2^2 - 
     29*T1^3*T2^2 + 44*T1^4*T2^2 - 109*T1^5*T2^2 + 24*T1^6*T2^2 + 
     17*T1^7*T2^2 - 16*T1^8*T2^2 + 36*T2^3 - 48*T1*T2^3 - 29*T1^2*T2^3 + 
     215*T1^3*T2^3 - 108*T1^4*T2^3 + 112*T1^5*T2^3 + 101*T1^6*T2^3 - 
     85*T1^7*T2^3 + 28*T1^8*T2^3 + 9*T1^9*T2^3 - 32*T2^4 + 20*T1*T2^4 + 
     44*T1^2*T2^4 - 108*T1^3*T2^4 - 202*T1^4*T2^4 + 200*T1^5*T2^4 - 
     338*T1^6*T2^4 + 108*T1^7*T2^4 + 12*T1^8*T2^4 - 36*T1^9*T2^4 + 16*T2^5 + 
     33*T1*T2^5 - 109*T1^2*T2^5 + 112*T1^3*T2^5 + 200*T1^4*T2^5 - 
     80*T1^5*T2^5 + 92*T1^6*T2^5 + 136*T1^7*T2^5 - 116*T1^8*T2^5 + 
     43*T1^9*T2^5 + 17*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 
     24*T1^2*T2^6 + 101*T1^3*T2^6 - 338*T1^4*T2^6 + 92*T1^5*T2^6 - 
     124*T1^7*T2^6 + 30*T1^8*T2^6 + 47*T1^9*T2^6 - 56*T1^10*T2^6 + 
     8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 17*T1^2*T2^7 - 85*T1^3*T2^7 + 
     108*T1^4*T2^7 + 136*T1^5*T2^7 - 124*T1^6*T2^7 + 48*T1^7*T2^7 + 
     72*T1^8*T2^7 - 120*T1^9*T2^7 + 67*T1^10*T2^7 + T1^11*T2^7 - 
     8*T1^12*T2^7 - 16*T1^2*T2^8 + 28*T1^3*T2^8 + 12*T1^4*T2^8 - 
     116*T1^5*T2^8 + 30*T1^6*T2^8 + 72*T1^7*T2^8 - 106*T1^8*T2^8 + 
     100*T1^9*T2^8 - 20*T1^10*T2^8 - 28*T1^11*T2^8 + 16*T1^12*T2^8 + 
     9*T1^3*T2^9 - 36*T1^4*T2^9 + 43*T1^5*T2^9 + 47*T1^6*T2^9 - 
     120*T1^7*T2^9 + 100*T1^8*T2^9 - 67*T1^9*T2^9 - 13*T1^10*T2^9 + 
     40*T1^11*T2^9 - 18*T1^12*T2^9 + 17*T1^5*T2^10 - 56*T1^6*T2^10 + 
     67*T1^7*T2^10 - 20*T1^8*T2^10 - 13*T1^9*T2^10 + 56*T1^10*T2^10 - 
     47*T1^11*T2^10 + 16*T1^12*T2^10 - 4*T1^5*T2^11 + 8*T1^6*T2^11 + 
     T1^7*T2^11 - 28*T1^8*T2^11 + 40*T1^9*T2^11 - 47*T1^10*T2^11 + 
     28*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
     16*T1^8*T2^12 - 18*T1^9*T2^12 + 16*T1^10*T2^12 - 8*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 16] -> 
  {-((2 - 7*T + 7*T^2 - 5*T^3 + 7*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((-41 + 143*T1 - 142*T1^2 + 101*T1^3 - 142*T1^4 + 143*T1^5 - 41*T1^6 + 
      143*T2 - 384*T1*T2 + 95*T1^2*T2 + 45*T1^3*T2 + 213*T1^4*T2 - 
      101*T1^5*T2 - 258*T1^6*T2 + 115*T1^7*T2 - 142*T2^2 + 95*T1*T2^2 + 
      811*T1^2*T2^2 - 726*T1^3*T2^2 + 185*T1^4*T2^2 - 670*T1^5*T2^2 + 
      951*T1^6*T2^2 - 101*T1^7*T2^2 - 86*T1^8*T2^2 + 101*T2^3 + 45*T1*T2^3 - 
      726*T1^2*T2^3 + 127*T1^3*T2^3 + 264*T1^4*T2^3 + 432*T1^5*T2^3 - 
      349*T1^6*T2^3 - 495*T1^7*T2^3 + 157*T1^8*T2^3 + 41*T1^9*T2^3 - 
      142*T2^4 + 213*T1*T2^4 + 185*T1^2*T2^4 + 264*T1^3*T2^4 - 
      427*T1^4*T2^4 - 67*T1^5*T2^4 - 7*T1^6*T2^4 + 334*T1^7*T2^4 + 
      87*T1^8*T2^4 - 39*T1^9*T2^4 - 30*T1^10*T2^4 + 143*T2^5 - 101*T1*T2^5 - 
      670*T1^2*T2^5 + 432*T1^3*T2^5 - 67*T1^4*T2^5 + 498*T1^5*T2^5 - 
      510*T1^6*T2^5 - 18*T1^7*T2^5 + 68*T1^8*T2^5 - 201*T1^9*T2^5 + 
      95*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 258*T1*T2^6 + 951*T1^2*T2^6 - 
      349*T1^3*T2^6 - 7*T1^4*T2^6 - 510*T1^5*T2^6 + 156*T1^6*T2^6 + 
      498*T1^7*T2^6 - 329*T1^8*T2^6 + 217*T1^9*T2^6 - 57*T1^10*T2^6 - 
      34*T1^11*T2^6 + 7*T1^12*T2^6 + 115*T1*T2^7 - 101*T1^2*T2^7 - 
      495*T1^3*T2^7 + 334*T1^4*T2^7 - 18*T1^5*T2^7 + 498*T1^6*T2^7 - 
      510*T1^7*T2^7 + 31*T1^8*T2^7 - 30*T1^9*T2^7 - 26*T1^10*T2^7 + 
      95*T1^11*T2^7 - 25*T1^12*T2^7 - 86*T1^2*T2^8 + 157*T1^3*T2^8 + 
      87*T1^4*T2^8 + 68*T1^5*T2^8 - 329*T1^6*T2^8 + 31*T1^7*T2^8 + 
      91*T1^8*T2^8 + 138*T1^9*T2^8 - 11*T1^10*T2^8 - 95*T1^11*T2^8 + 
      26*T1^12*T2^8 + 41*T1^3*T2^9 - 39*T1^4*T2^9 - 201*T1^5*T2^9 + 
      217*T1^6*T2^9 - 30*T1^7*T2^9 + 138*T1^8*T2^9 - 259*T1^9*T2^9 + 
      30*T1^10*T2^9 + 73*T1^11*T2^9 - 19*T1^12*T2^9 - 30*T1^4*T2^10 + 
      95*T1^5*T2^10 - 57*T1^6*T2^10 - 26*T1^7*T2^10 - 11*T1^8*T2^10 + 
      30*T1^9*T2^10 + 83*T1^10*T2^10 - 101*T1^11*T2^10 + 26*T1^12*T2^10 + 
      3*T1^5*T2^11 - 34*T1^6*T2^11 + 95*T1^7*T2^11 - 95*T1^8*T2^11 + 
      73*T1^9*T2^11 - 101*T1^10*T2^11 + 92*T1^11*T2^11 - 25*T1^12*T2^11 + 
      7*T1^6*T2^12 - 25*T1^7*T2^12 + 26*T1^8*T2^12 - 19*T1^9*T2^12 + 
      26*T1^10*T2^12 - 25*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 17] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   -((-7 + 42*T1 - 67*T1^2 + 42*T1^3 - 7*T1^4 + 42*T2 - 242*T1*T2 + 
      430*T1^2*T2 - 314*T1^3*T2 + 94*T1^4*T2 - 6*T1^5*T2 - 67*T2^2 + 
      430*T1*T2^2 - 982*T1^2*T2^2 + 554*T1^3*T2^2 + 310*T1^4*T2^2 - 
      482*T1^5*T2^2 + 85*T1^6*T2^2 + 42*T2^3 - 314*T1*T2^3 + 554*T1^2*T2^3 + 
      2010*T1^3*T2^3 - 4050*T1^4*T2^3 + 2378*T1^5*T2^3 + 94*T1^6*T2^3 - 
      102*T1^7*T2^3 - 7*T2^4 + 94*T1*T2^4 + 310*T1^2*T2^4 - 4050*T1^3*T2^4 + 
      4212*T1^4*T2^4 + 654*T1^5*T2^4 - 2842*T1^6*T2^4 + 478*T1^7*T2^4 + 
      25*T1^8*T2^4 - 6*T1*T2^5 - 482*T1^2*T2^5 + 2378*T1^3*T2^5 + 
      654*T1^4*T2^5 - 5406*T1^5*T2^5 + 4202*T1^6*T2^5 - 74*T1^7*T2^5 - 
      150*T1^8*T2^5 + 85*T1^2*T2^6 + 94*T1^3*T2^6 - 2842*T1^4*T2^6 + 
      4202*T1^5*T2^6 - 1550*T1^6*T2^6 - 818*T1^7*T2^6 + 237*T1^8*T2^6 - 
      102*T1^3*T2^7 + 478*T1^4*T2^7 - 74*T1^5*T2^7 - 818*T1^6*T2^7 + 
      814*T1^7*T2^7 - 150*T1^8*T2^7 + 25*T1^4*T2^8 - 150*T1^5*T2^8 + 
      237*T1^6*T2^8 - 150*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 18] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-17 + 68*T1 - 111*T1^2 + 68*T1^3 - 17*T1^4 + 68*T2 - 236*T1*T2 + 
     304*T1^2*T2 - 32*T1^3*T2 - 76*T1^4*T2 + 36*T1^5*T2 - 111*T2^2 + 
     304*T1*T2^2 - 194*T1^2*T2^2 - 458*T1^3*T2^2 + 378*T1^4*T2^2 - 
     112*T1^5*T2^2 - 7*T1^6*T2^2 + 68*T2^3 - 32*T1*T2^3 - 458*T1^2*T2^3 + 
     1188*T1^3*T2^3 - 516*T1^4*T2^3 - 42*T1^5*T2^3 + 144*T1^6*T2^3 - 
     28*T1^7*T2^3 - 17*T2^4 - 76*T1*T2^4 + 378*T1^2*T2^4 - 516*T1^3*T2^4 - 
     432*T1^4*T2^4 + 764*T1^5*T2^4 - 438*T1^6*T2^4 + 52*T1^7*T2^4 + 
     15*T1^8*T2^4 + 36*T1*T2^5 - 112*T1^2*T2^5 - 42*T1^3*T2^5 + 
     764*T1^4*T2^5 - 940*T1^5*T2^5 + 374*T1^6*T2^5 + 64*T1^7*T2^5 - 
     60*T1^8*T2^5 - 7*T1^2*T2^6 + 144*T1^3*T2^6 - 438*T1^4*T2^6 + 
     374*T1^5*T2^6 + 134*T1^6*T2^6 - 272*T1^7*T2^6 + 97*T1^8*T2^6 - 
     28*T1^3*T2^7 + 52*T1^4*T2^7 + 64*T1^5*T2^7 - 272*T1^6*T2^7 + 
     212*T1^7*T2^7 - 60*T1^8*T2^7 + 15*T1^4*T2^8 - 60*T1^5*T2^8 + 
     97*T1^6*T2^8 - 60*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 19] -> {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((-1 + 2*T1 - T1^3 + 2*T1^5 - T1^6 + 2*T2 - 4*T1*T2 + 2*T1^3*T2 - 
      4*T1^5*T2 + 2*T1^6*T2 + T1^2*T2^2 - 2*T1^3*T2^2 + T1^4*T2^2 - 
      2*T1^5*T2^2 + T1^6*T2^2 - T2^3 + 2*T1*T2^3 - 2*T1^2*T2^3 + 
      5*T1^3*T2^3 - 4*T1^4*T2^3 + 2*T1^5*T2^3 + 5*T1^6*T2^3 - 2*T1^7*T2^3 - 
      4*T1^8*T2^3 + 2*T1^9*T2^3 + T1^2*T2^4 - 4*T1^3*T2^4 + 4*T1^4*T2^4 + 
      4*T1^5*T2^4 - 8*T1^6*T2^4 + 9*T1^8*T2^4 - 4*T1^9*T2^4 + 2*T2^5 - 
      4*T1*T2^5 - 2*T1^2*T2^5 + 2*T1^3*T2^5 + 4*T1^4*T2^5 - 22*T1^5*T2^5 + 
      8*T1^6*T2^5 + 4*T1^7*T2^5 - 8*T1^8*T2^5 - 2*T1^9*T2^5 + 16*T1^10*T2^5 - 
      8*T1^11*T2^5 - T2^6 + 2*T1*T2^6 + T1^2*T2^6 + 5*T1^3*T2^6 - 
      8*T1^4*T2^6 + 8*T1^5*T2^6 + 24*T1^6*T2^6 - 20*T1^7*T2^6 + 8*T1^8*T2^6 + 
      11*T1^9*T2^6 - 31*T1^10*T2^6 + 6*T1^11*T2^6 + 5*T1^12*T2^6 - 
      2*T1^3*T2^7 + 4*T1^5*T2^7 - 20*T1^6*T2^7 + 10*T1^7*T2^7 + 4*T1^8*T2^7 - 
      10*T1^9*T2^7 - 2*T1^10*T2^7 + 20*T1^11*T2^7 - 10*T1^12*T2^7 - 
      4*T1^3*T2^8 + 9*T1^4*T2^8 - 8*T1^5*T2^8 + 8*T1^6*T2^8 + 4*T1^7*T2^8 - 
      4*T1^8*T2^8 - 4*T1^9*T2^8 + 17*T1^10*T2^8 - 8*T1^11*T2^8 + 
      2*T1^3*T2^9 - 4*T1^4*T2^9 - 2*T1^5*T2^9 + 11*T1^6*T2^9 - 10*T1^7*T2^9 - 
      4*T1^8*T2^9 + 11*T1^9*T2^9 - 2*T1^10*T2^9 - 10*T1^11*T2^9 + 
      5*T1^12*T2^9 + 16*T1^5*T2^10 - 31*T1^6*T2^10 - 2*T1^7*T2^10 + 
      17*T1^8*T2^10 - 2*T1^9*T2^10 - 31*T1^10*T2^10 + 16*T1^11*T2^10 - 
      8*T1^5*T2^11 + 6*T1^6*T2^11 + 20*T1^7*T2^11 - 8*T1^8*T2^11 - 
      10*T1^9*T2^11 + 16*T1^10*T2^11 + 12*T1^11*T2^11 - 10*T1^12*T2^11 + 
      5*T1^6*T2^12 - 10*T1^7*T2^12 + 5*T1^9*T2^12 - 10*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 20] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((-7 + 22*T1 - 27*T1^2 + 22*T1^3 - 7*T1^4 + 22*T2 - 68*T1*T2 + 
      82*T1^2*T2 - 74*T1^3*T2 + 28*T1^4*T2 - 2*T1^5*T2 - 27*T2^2 + 
      82*T1*T2^2 - 77*T1^2*T2^2 + 41*T1^3*T2^2 + 63*T1^4*T2^2 - 
      86*T1^5*T2^2 + 29*T1^6*T2^2 + 22*T2^3 - 74*T1*T2^3 + 41*T1^2*T2^3 + 
      52*T1^3*T2^3 - 206*T1^4*T2^3 + 125*T1^5*T2^3 + 58*T1^6*T2^3 - 
      50*T1^7*T2^3 - 7*T2^4 + 28*T1*T2^4 + 63*T1^2*T2^4 - 206*T1^3*T2^4 + 
      216*T1^4*T2^4 + 58*T1^5*T2^4 - 257*T1^6*T2^4 + 76*T1^7*T2^4 + 
      25*T1^8*T2^4 - 2*T1*T2^5 - 86*T1^2*T2^5 + 125*T1^3*T2^5 + 
      58*T1^4*T2^5 - 200*T1^5*T2^5 + 209*T1^6*T2^5 + 46*T1^7*T2^5 - 
      74*T1^8*T2^5 + 29*T1^2*T2^6 + 58*T1^3*T2^6 - 257*T1^4*T2^6 + 
      209*T1^5*T2^6 - 117*T1^6*T2^6 - 110*T1^7*T2^6 + 85*T1^8*T2^6 - 
      50*T1^3*T2^7 + 76*T1^4*T2^7 + 46*T1^5*T2^7 - 110*T1^6*T2^7 + 
      172*T1^7*T2^7 - 74*T1^8*T2^7 + 25*T1^4*T2^8 - 74*T1^5*T2^8 + 
      85*T1^6*T2^8 - 74*T1^7*T2^8 + 25*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 21] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 116*T1^3*T2 + 14*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 
      8*T1^3*T2^2 + 267*T1^4*T2^2 - 212*T1^5*T2^2 + 95*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 116*T1*T2^3 + 8*T1^2*T2^3 + 
      234*T1^3*T2^3 - 560*T1^4*T2^3 + 150*T1^5*T2^3 + 74*T1^6*T2^3 - 
      157*T1^7*T2^3 + 54*T1^8*T2^3 - 33*T2^4 + 14*T1*T2^4 + 267*T1^2*T2^4 - 
      560*T1^3*T2^4 + 674*T1^4*T2^4 + 222*T1^5*T2^4 - 386*T1^6*T2^4 + 
      280*T1^7*T2^4 + T1^8*T2^4 - 56*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 212*T1^2*T2^5 + 150*T1^3*T2^5 + 222*T1^4*T2^5 - 
      1137*T1^5*T2^5 + 663*T1^6*T2^5 - 53*T1^7*T2^5 - 300*T1^8*T2^5 + 
      173*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      95*T1^2*T2^6 + 74*T1^3*T2^6 - 386*T1^4*T2^6 + 663*T1^5*T2^6 + 
      240*T1^6*T2^6 - 787*T1^7*T2^6 + 600*T1^8*T2^6 - 126*T1^9*T2^6 - 
      97*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 157*T1^3*T2^7 + 280*T1^4*T2^7 - 53*T1^5*T2^7 - 
      787*T1^6*T2^7 + 1013*T1^7*T2^7 - 328*T1^8*T2^7 - 170*T1^9*T2^7 + 
      228*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      54*T1^3*T2^8 + T1^4*T2^8 - 300*T1^5*T2^8 + 600*T1^6*T2^8 - 
      328*T1^7*T2^8 - 460*T1^8*T2^8 + 540*T1^9*T2^8 - 265*T1^10*T2^8 - 
      16*T1^11*T2^8 + 33*T1^12*T2^8 - 56*T1^4*T2^9 + 173*T1^5*T2^9 - 
      126*T1^6*T2^9 - 170*T1^7*T2^9 + 540*T1^8*T2^9 - 286*T1^9*T2^9 + 
      8*T1^10*T2^9 + 114*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 97*T1^6*T2^10 + 228*T1^7*T2^10 - 265*T1^8*T2^10 + 
      8*T1^9*T2^10 + 123*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 16*T1^8*T2^11 + 
      114*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 22] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 52*T1^2 + 68*T1^3 - 52*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 186*T1^2*T2 - 145*T1^3*T2 + 5*T1^4*T2 + 96*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 52*T2^2 + 186*T1*T2^2 - 340*T1^2*T2^2 + 
     57*T1^3*T2^2 + 232*T1^4*T2^2 - 255*T1^5*T2^2 - 28*T1^6*T2^2 + 
     56*T1^7*T2^2 - 26*T1^8*T2^2 + 68*T2^3 - 145*T1*T2^3 + 57*T1^2*T2^3 + 
     746*T1^3*T2^3 - 810*T1^4*T2^3 + 222*T1^5*T2^3 + 494*T1^6*T2^3 - 
     216*T1^7*T2^3 + 45*T1^8*T2^3 + 17*T1^9*T2^3 - 52*T2^4 + 5*T1*T2^4 + 
     232*T1^2*T2^4 - 810*T1^3*T2^4 - 426*T1^4*T2^4 + 1678*T1^5*T2^4 - 
     1842*T1^6*T2^4 + 346*T1^7*T2^4 + 58*T1^8*T2^4 - 85*T1^9*T2^4 + 20*T2^5 + 
     96*T1*T2^5 - 255*T1^2*T2^5 + 222*T1^3*T2^5 + 1678*T1^4*T2^5 - 
     2201*T1^5*T2^5 + 1069*T1^6*T2^5 + 885*T1^7*T2^5 - 562*T1^8*T2^5 + 
     174*T1^9*T2^5 + 26*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     28*T1^2*T2^6 + 494*T1^3*T2^6 - 1842*T1^4*T2^6 + 1069*T1^5*T2^6 + 
     684*T1^6*T2^6 - 1817*T1^7*T2^6 + 592*T1^8*T2^6 + 2*T1^9*T2^6 - 
     112*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     56*T1^2*T2^7 - 216*T1^3*T2^7 + 346*T1^4*T2^7 + 885*T1^5*T2^7 - 
     1817*T1^6*T2^7 + 1453*T1^7*T2^7 + 92*T1^8*T2^7 - 438*T1^9*T2^7 + 
     213*T1^10*T2^7 - 14*T1^11*T2^7 - 10*T1^12*T2^7 - 26*T1^2*T2^8 + 
     45*T1^3*T2^8 + 58*T1^4*T2^8 - 562*T1^5*T2^8 + 592*T1^6*T2^8 + 
     92*T1^7*T2^8 - 824*T1^8*T2^8 + 594*T1^9*T2^8 - 116*T1^10*T2^8 - 
     45*T1^11*T2^8 + 26*T1^12*T2^8 + 17*T1^3*T2^9 - 85*T1^4*T2^9 + 
     174*T1^5*T2^9 + 2*T1^6*T2^9 - 438*T1^7*T2^9 + 594*T1^8*T2^9 - 
     250*T1^9*T2^9 - 99*T1^10*T2^9 + 105*T1^11*T2^9 - 34*T1^12*T2^9 + 
     26*T1^5*T2^10 - 112*T1^6*T2^10 + 213*T1^7*T2^10 - 116*T1^8*T2^10 - 
     99*T1^9*T2^10 + 200*T1^10*T2^10 - 104*T1^11*T2^10 + 26*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 14*T1^7*T2^11 - 45*T1^8*T2^11 + 
     105*T1^9*T2^11 - 104*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 26*T1^8*T2^12 - 34*T1^9*T2^12 + 
     26*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 23] -> 
  {(1 - 3*T + 5*T^2 - 4*T^3 + 3*T^4 - 4*T^5 + 5*T^6 - 3*T^7 + T^8)/T^4, 
   (-6 + 18*T1 - 30*T1^2 + 24*T1^3 - 18*T1^4 + 24*T1^5 - 30*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 45*T1^2*T2 + 3*T1^3*T2 - 6*T1^4*T2 - 
     27*T1^5*T2 + 30*T1^6*T2 + 21*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     30*T2^2 + 45*T1*T2^2 - 35*T1^2*T2^2 - 46*T1^3*T2^2 - 7*T1^4*T2^2 + 
     61*T1^5*T2^2 - 27*T1^6*T2^2 - 56*T1^7*T2^2 + 5*T1^8*T2^2 + 
     15*T1^9*T2^2 - 20*T1^10*T2^2 + 24*T2^3 + 3*T1*T2^3 - 46*T1^2*T2^3 + 
     113*T1^3*T2^3 + 33*T1^4*T2^3 - 50*T1^5*T2^3 - 47*T1^6*T2^3 + 
     96*T1^7*T2^3 + 53*T1^8*T2^3 - 46*T1^9*T2^3 + 24*T1^10*T2^3 + 
     12*T1^11*T2^3 - 18*T2^4 - 6*T1*T2^4 - 7*T1^2*T2^4 + 33*T1^3*T2^4 - 
     201*T1^4*T2^4 + 111*T1^5*T2^4 - 7*T1^6*T2^4 + 51*T1^7*T2^4 - 
     201*T1^8*T2^4 + 81*T1^9*T2^4 - 19*T1^10*T2^4 - 18*T1^11*T2^4 - 
     6*T1^12*T2^4 + 24*T2^5 - 27*T1*T2^5 + 61*T1^2*T2^5 - 50*T1^3*T2^5 + 
     111*T1^4*T2^5 - 7*T1^5*T2^5 - 5*T1^6*T2^5 - 62*T1^7*T2^5 + 
     111*T1^8*T2^5 + 26*T1^9*T2^5 - 25*T1^10*T2^5 + 22*T1^11*T2^5 + 
     6*T1^12*T2^5 + 4*T1^13*T2^5 - 30*T2^6 + 30*T1*T2^6 - 27*T1^2*T2^6 - 
     47*T1^3*T2^6 - 7*T1^4*T2^6 - 5*T1^5*T2^6 + 10*T1^6*T2^6 - 26*T1^7*T2^6 + 
     22*T1^8*T2^6 - 59*T1^9*T2^6 + 11*T1^10*T2^6 - 17*T1^11*T2^6 + 
     9*T1^12*T2^6 - 12*T1^13*T2^6 + 18*T2^7 + 21*T1*T2^7 - 56*T1^2*T2^7 + 
     96*T1^3*T2^7 + 51*T1^4*T2^7 - 62*T1^5*T2^7 - 26*T1^6*T2^7 + 
     56*T1^7*T2^7 - 4*T1^8*T2^7 - 8*T1^9*T2^7 + T1^10*T2^7 + 36*T1^11*T2^7 - 
     27*T1^12*T2^7 + 4*T1^13*T2^7 + 9*T1^14*T2^7 - 3*T1^15*T2^7 - 6*T2^8 - 
     27*T1*T2^8 + 5*T1^2*T2^8 + 53*T1^3*T2^8 - 201*T1^4*T2^8 + 
     111*T1^5*T2^8 + 22*T1^6*T2^8 - 4*T1^7*T2^8 - 36*T1^8*T2^8 + 
     24*T1^9*T2^8 + 14*T1^10*T2^8 - 31*T1^11*T2^8 + 11*T1^12*T2^8 + 
     23*T1^13*T2^8 - 17*T1^14*T2^8 + 3*T1^15*T2^8 + 2*T1^16*T2^8 + 
     15*T1*T2^9 + 15*T1^2*T2^9 - 46*T1^3*T2^9 + 81*T1^4*T2^9 + 26*T1^5*T2^9 - 
     59*T1^6*T2^9 - 8*T1^7*T2^9 + 24*T1^8*T2^9 - 36*T1^9*T2^9 + 
     10*T1^10*T2^9 + 4*T1^11*T2^9 + 11*T1^12*T2^9 - 42*T1^13*T2^9 + 
     14*T1^14*T2^9 + 3*T1^15*T2^9 - 6*T1^16*T2^9 - 20*T1^2*T2^10 + 
     24*T1^3*T2^10 - 19*T1^4*T2^10 - 25*T1^5*T2^10 + 11*T1^6*T2^10 + 
     T1^7*T2^10 + 14*T1^8*T2^10 + 10*T1^9*T2^10 + 26*T1^10*T2^10 - 
     53*T1^11*T2^10 + 29*T1^12*T2^10 + 5*T1^13*T2^10 + 17*T1^14*T2^10 - 
     18*T1^15*T2^10 + 10*T1^16*T2^10 + 12*T1^3*T2^11 - 18*T1^4*T2^11 + 
     22*T1^5*T2^11 - 17*T1^6*T2^11 + 36*T1^7*T2^11 - 31*T1^8*T2^11 + 
     4*T1^9*T2^11 - 53*T1^10*T2^11 + 87*T1^11*T2^11 - 49*T1^12*T2^11 + 
     8*T1^13*T2^11 - 17*T1^14*T2^11 + 15*T1^15*T2^11 - 8*T1^16*T2^11 - 
     6*T1^4*T2^12 + 6*T1^5*T2^12 + 9*T1^6*T2^12 - 27*T1^7*T2^12 + 
     11*T1^8*T2^12 + 11*T1^9*T2^12 + 29*T1^10*T2^12 - 49*T1^11*T2^12 + 
     11*T1^12*T2^12 + 21*T1^13*T2^12 - 3*T1^14*T2^12 - 6*T1^15*T2^12 + 
     6*T1^16*T2^12 + 4*T1^5*T2^13 - 12*T1^6*T2^13 + 4*T1^7*T2^13 + 
     23*T1^8*T2^13 - 42*T1^9*T2^13 + 5*T1^10*T2^13 + 8*T1^11*T2^13 + 
     21*T1^12*T2^13 - 37*T1^13*T2^13 + 4*T1^14*T2^13 + 9*T1^15*T2^13 - 
     8*T1^16*T2^13 + 9*T1^7*T2^14 - 17*T1^8*T2^14 + 14*T1^9*T2^14 + 
     17*T1^10*T2^14 - 17*T1^11*T2^14 - 3*T1^12*T2^14 + 4*T1^13*T2^14 + 
     23*T1^14*T2^14 - 21*T1^15*T2^14 + 10*T1^16*T2^14 - 3*T1^7*T2^15 + 
     3*T1^8*T2^15 + 3*T1^9*T2^15 - 18*T1^10*T2^15 + 15*T1^11*T2^15 - 
     6*T1^12*T2^15 + 9*T1^13*T2^15 - 21*T1^14*T2^15 + 15*T1^15*T2^15 - 
     6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 10*T1^10*T2^16 - 
     8*T1^11*T2^16 + 6*T1^12*T2^16 - 8*T1^13*T2^16 + 10*T1^14*T2^16 - 
     6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 24] -> 
  {(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6)/T^3, 
   (-4 + 12*T1 - 20*T1^2 + 20*T1^3 - 20*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 33*T1^2*T2 - 15*T1^3*T2 + 15*T1^4*T2 + 9*T1^5*T2 - 
     15*T1^6*T2 + 9*T1^7*T2 - 20*T2^2 + 33*T1*T2^2 - 25*T1^2*T2^2 - 
     15*T1^3*T2^2 + T1^4*T2^2 - 35*T1^5*T2^2 + 15*T1^6*T2^2 + 3*T1^7*T2^2 - 
     10*T1^8*T2^2 + 20*T2^3 - 15*T1*T2^3 - 15*T1^2*T2^3 + 54*T1^3*T2^3 - 
     5*T1^4*T2^3 + 25*T1^5*T2^3 + 24*T1^6*T2^3 - 30*T1^7*T2^3 + 
     15*T1^8*T2^3 + 5*T1^9*T2^3 - 20*T2^4 + 15*T1*T2^4 + T1^2*T2^4 - 
     5*T1^3*T2^4 - 60*T1^4*T2^4 + 30*T1^5*T2^4 - 40*T1^6*T2^4 + 
     15*T1^7*T2^4 + 11*T1^8*T2^4 - 15*T1^9*T2^4 + 12*T2^5 + 9*T1*T2^5 - 
     35*T1^2*T2^5 + 25*T1^3*T2^5 + 30*T1^4*T2^5 + 11*T1^5*T2^5 - 
     39*T1^6*T2^5 + 25*T1^7*T2^5 - 25*T1^8*T2^5 + 9*T1^10*T2^5 - 
     3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 + 15*T1^2*T2^6 + 24*T1^3*T2^6 - 
     40*T1^4*T2^6 - 39*T1^5*T2^6 + 84*T1^6*T2^6 - 13*T1^7*T2^6 + 
     10*T1^8*T2^6 + 24*T1^9*T2^6 - 13*T1^10*T2^6 + 3*T1^11*T2^6 + 
     2*T1^12*T2^6 + 9*T1*T2^7 + 3*T1^2*T2^7 - 30*T1^3*T2^7 + 15*T1^4*T2^7 + 
     25*T1^5*T2^7 - 13*T1^6*T2^7 - 63*T1^7*T2^7 + 20*T1^8*T2^7 - 
     35*T1^9*T2^7 + 5*T1^10*T2^7 + 3*T1^11*T2^7 - 6*T1^12*T2^7 - 
     10*T1^2*T2^8 + 15*T1^3*T2^8 + 11*T1^4*T2^8 - 25*T1^5*T2^8 + 
     10*T1^6*T2^8 + 20*T1^7*T2^8 + 30*T1^8*T2^8 - 5*T1^9*T2^8 + 
     21*T1^10*T2^8 - 15*T1^11*T2^8 + 10*T1^12*T2^8 + 5*T1^3*T2^9 - 
     15*T1^4*T2^9 + 24*T1^6*T2^9 - 35*T1^7*T2^9 - 5*T1^8*T2^9 - 6*T1^9*T2^9 - 
     15*T1^10*T2^9 + 15*T1^11*T2^9 - 10*T1^12*T2^9 + 9*T1^5*T2^10 - 
     13*T1^6*T2^10 + 5*T1^7*T2^10 + 21*T1^8*T2^10 - 15*T1^9*T2^10 + 
     27*T1^10*T2^10 - 21*T1^11*T2^10 + 10*T1^12*T2^10 - 3*T1^5*T2^11 + 
     3*T1^6*T2^11 + 3*T1^7*T2^11 - 15*T1^8*T2^11 + 15*T1^9*T2^11 - 
     21*T1^10*T2^11 + 15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 
     6*T1^7*T2^12 + 10*T1^8*T2^12 - 10*T1^9*T2^12 + 10*T1^10*T2^12 - 
     6*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 25] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 44*T1^2 + 52*T1^3 - 44*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 145*T1^2*T2 - 94*T1^3*T2 + 26*T1^4*T2 + 65*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 44*T2^2 + 145*T1*T2^2 - 130*T1^2*T2^2 - 
     151*T1^3*T2^2 + 250*T1^4*T2^2 - 327*T1^5*T2^2 + 90*T1^6*T2^2 + 
     35*T1^7*T2^2 - 22*T1^8*T2^2 + 52*T2^3 - 94*T1*T2^3 - 151*T1^2*T2^3 + 
     624*T1^3*T2^3 - 425*T1^4*T2^3 + 271*T1^5*T2^3 + 290*T1^6*T2^3 - 
     250*T1^7*T2^3 + 46*T1^8*T2^3 + 13*T1^9*T2^3 - 44*T2^4 + 26*T1*T2^4 + 
     250*T1^2*T2^4 - 425*T1^3*T2^4 - 353*T1^4*T2^4 + 571*T1^5*T2^4 - 
     953*T1^6*T2^4 + 303*T1^7*T2^4 + 84*T1^8*T2^4 - 64*T1^9*T2^4 + 20*T2^5 + 
     65*T1*T2^5 - 327*T1^2*T2^5 + 271*T1^3*T2^5 + 571*T1^4*T2^5 - 
     461*T1^5*T2^5 + 481*T1^6*T2^5 + 318*T1^7*T2^5 - 361*T1^8*T2^5 + 
     80*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     90*T1^2*T2^6 + 290*T1^3*T2^6 - 953*T1^4*T2^6 + 481*T1^5*T2^6 - 
     144*T1^6*T2^6 - 485*T1^7*T2^6 + 233*T1^8*T2^6 + 102*T1^9*T2^6 - 
     102*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     35*T1^2*T2^7 - 250*T1^3*T2^7 + 303*T1^4*T2^7 + 318*T1^5*T2^7 - 
     485*T1^6*T2^7 + 457*T1^7*T2^7 + 65*T1^8*T2^7 - 329*T1^9*T2^7 + 
     157*T1^10*T2^7 - 5*T1^11*T2^7 - 10*T1^12*T2^7 - 22*T1^2*T2^8 + 
     46*T1^3*T2^8 + 84*T1^4*T2^8 - 361*T1^5*T2^8 + 233*T1^6*T2^8 + 
     65*T1^7*T2^8 - 367*T1^8*T2^8 + 367*T1^9*T2^8 - 82*T1^10*T2^8 - 
     44*T1^11*T2^8 + 22*T1^12*T2^8 + 13*T1^3*T2^9 - 64*T1^4*T2^9 + 
     80*T1^5*T2^9 + 102*T1^6*T2^9 - 329*T1^7*T2^9 + 367*T1^8*T2^9 - 
     232*T1^9*T2^9 - 19*T1^10*T2^9 + 76*T1^11*T2^9 - 26*T1^12*T2^9 + 
     25*T1^5*T2^10 - 102*T1^6*T2^10 + 157*T1^7*T2^10 - 82*T1^8*T2^10 - 
     19*T1^9*T2^10 + 118*T1^10*T2^10 - 85*T1^11*T2^10 + 22*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 5*T1^7*T2^11 - 44*T1^8*T2^11 + 
     76*T1^9*T2^11 - 85*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 22*T1^8*T2^12 - 26*T1^9*T2^12 + 
     22*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 26] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 27*T1^2 + 33*T1^3 - 27*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 84*T1^2*T2 - 75*T1^3*T2 + 25*T1^4*T2 + 14*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 27*T2^2 + 84*T1*T2^2 + 9*T1^2*T2^2 - 
      118*T1^3*T2^2 + 241*T1^4*T2^2 - 226*T1^5*T2^2 + 153*T1^6*T2^2 - 
      6*T1^7*T2^2 - 9*T1^8*T2^2 + 33*T2^3 - 75*T1*T2^3 - 118*T1^2*T2^3 + 
      198*T1^3*T2^3 - 283*T1^4*T2^3 + 155*T1^5*T2^3 - 36*T1^6*T2^3 - 
      145*T1^7*T2^3 + 45*T1^8*T2^3 - 27*T2^4 + 25*T1*T2^4 + 241*T1^2*T2^4 - 
      283*T1^3*T2^4 + 409*T1^4*T2^4 - 221*T1^5*T2^4 + 37*T1^6*T2^4 + 
      201*T1^7*T2^4 + 15*T1^8*T2^4 - 45*T1^9*T2^4 + 9*T1^10*T2^4 + 15*T2^5 + 
      14*T1*T2^5 - 226*T1^2*T2^5 + 155*T1^3*T2^5 - 221*T1^4*T2^5 - 
      55*T1^5*T2^5 + 185*T1^6*T2^5 - 212*T1^7*T2^5 - 191*T1^8*T2^5 + 
      125*T1^9*T2^5 + 4*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      153*T1^2*T2^6 - 36*T1^3*T2^6 + 37*T1^4*T2^6 + 185*T1^5*T2^6 - 
      144*T1^6*T2^6 - 17*T1^7*T2^6 + 287*T1^8*T2^6 - 12*T1^9*T2^6 - 
      131*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 - 
      6*T1^2*T2^7 - 145*T1^3*T2^7 + 201*T1^4*T2^7 - 212*T1^5*T2^7 - 
      17*T1^6*T2^7 + 223*T1^7*T2^7 - 203*T1^8*T2^7 - 145*T1^9*T2^7 + 
      206*T1^10*T2^7 - 16*T1^11*T2^7 - 15*T1^12*T2^7 - 9*T1^2*T2^8 + 
      45*T1^3*T2^8 + 15*T1^4*T2^8 - 191*T1^5*T2^8 + 287*T1^6*T2^8 - 
      203*T1^7*T2^8 - 85*T1^8*T2^8 + 293*T1^9*T2^8 - 211*T1^10*T2^8 - 
      25*T1^11*T2^8 + 27*T1^12*T2^8 - 45*T1^4*T2^9 + 125*T1^5*T2^9 - 
      12*T1^6*T2^9 - 145*T1^7*T2^9 + 293*T1^8*T2^9 - 246*T1^9*T2^9 + 
      98*T1^10*T2^9 + 75*T1^11*T2^9 - 33*T1^12*T2^9 + 9*T1^4*T2^10 + 
      4*T1^5*T2^10 - 131*T1^6*T2^10 + 206*T1^7*T2^10 - 211*T1^8*T2^10 + 
      98*T1^9*T2^10 + 13*T1^10*T2^10 - 86*T1^11*T2^10 + 27*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 16*T1^7*T2^11 - 25*T1^8*T2^11 + 
      75*T1^9*T2^11 - 86*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 27*T1^8*T2^12 - 33*T1^9*T2^12 + 
      27*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 27] -> 
  {-((1 - 3*T + 3*T^2 - 2*T^3 + T^4 - 2*T^5 + 3*T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 21*T1^2 + 14*T1^3 - 7*T1^4 + 14*T1^5 - 21*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 + 9*T1^2*T2 + 12*T1^3*T2 - 15*T1^4*T2 - 
      24*T1^5*T2 + 27*T1^6*T2 - 9*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 
      21*T2^2 + 9*T1*T2^2 + 84*T1^2*T2^2 - 76*T1^3*T2^2 + 41*T1^4*T2^2 + 
      20*T1^5*T2^2 + 29*T1^6*T2^2 - 70*T1^7*T2^2 + 96*T1^8*T2^2 - 
      9*T1^9*T2^2 - 15*T1^10*T2^2 + 14*T2^3 + 12*T1*T2^3 - 76*T1^2*T2^3 + 
      11*T1^3*T2^3 + 20*T1^4*T2^3 - 42*T1^5*T2^3 - 39*T1^6*T2^3 + 
      41*T1^7*T2^3 - 25*T1^8*T2^3 - 58*T1^9*T2^3 + 21*T1^10*T2^3 + 
      8*T1^11*T2^3 - 7*T2^4 - 15*T1*T2^4 + 41*T1^2*T2^4 + 20*T1^3*T2^4 - 
      15*T1^4*T2^4 + 8*T1^5*T2^4 + 47*T1^6*T2^4 - 12*T1^7*T2^4 - 
      3*T1^8*T2^4 + 36*T1^9*T2^4 + 17*T1^10*T2^4 - 15*T1^11*T2^4 - 
      3*T1^12*T2^4 + 14*T2^5 - 24*T1*T2^5 + 20*T1^2*T2^5 - 42*T1^3*T2^5 + 
      8*T1^4*T2^5 - 9*T1^5*T2^5 + T1^6*T2^5 - 32*T1^7*T2^5 + 15*T1^8*T2^5 - 
      11*T1^9*T2^5 - 25*T1^10*T2^5 + 11*T1^11*T2^5 - 3*T1^12*T2^5 + 
      4*T1^13*T2^5 - 21*T2^6 + 27*T1*T2^6 + 29*T1^2*T2^6 - 39*T1^3*T2^6 + 
      47*T1^4*T2^6 + T1^5*T2^6 - T1^6*T2^6 - 17*T1^7*T2^6 + 47*T1^8*T2^6 - 
      29*T1^9*T2^6 + 29*T1^10*T2^6 - 21*T1^11*T2^6 + 17*T1^12*T2^6 - 
      3*T1^13*T2^6 - 3*T1^14*T2^6 + 21*T2^7 - 9*T1*T2^7 - 70*T1^2*T2^7 + 
      41*T1^3*T2^7 - 12*T1^4*T2^7 - 32*T1^5*T2^7 - 17*T1^6*T2^7 + 
      60*T1^7*T2^7 - 42*T1^8*T2^7 - 7*T1^9*T2^7 + 7*T1^10*T2^7 + 
      11*T1^11*T2^7 - 16*T1^13*T2^7 + 9*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 
      96*T1^2*T2^8 - 25*T1^3*T2^8 - 3*T1^4*T2^8 + 15*T1^5*T2^8 + 
      47*T1^6*T2^8 - 42*T1^7*T2^8 - 36*T1^8*T2^8 + 62*T1^9*T2^8 - 
      29*T1^10*T2^8 - 3*T1^11*T2^8 - 19*T1^12*T2^8 + 21*T1^13*T2^8 - 
      6*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 9*T1^2*T2^9 - 
      58*T1^3*T2^9 + 36*T1^4*T2^9 - 11*T1^5*T2^9 - 29*T1^6*T2^9 - 
      7*T1^7*T2^9 + 62*T1^8*T2^9 - 40*T1^9*T2^9 + 3*T1^10*T2^9 + 
      10*T1^11*T2^9 + 12*T1^12*T2^9 - 5*T1^13*T2^9 - 4*T1^14*T2^9 + 
      9*T1^15*T2^9 - 3*T1^16*T2^9 - 15*T1^2*T2^10 + 21*T1^3*T2^10 + 
      17*T1^4*T2^10 - 25*T1^5*T2^10 + 29*T1^6*T2^10 + 7*T1^7*T2^10 - 
      29*T1^8*T2^10 + 3*T1^9*T2^10 + 19*T1^10*T2^10 - 23*T1^11*T2^10 + 
      11*T1^12*T2^10 - 7*T1^13*T2^10 + 5*T1^14*T2^10 - 9*T1^15*T2^10 + 
      3*T1^16*T2^10 + 8*T1^3*T2^11 - 15*T1^4*T2^11 + 11*T1^5*T2^11 - 
      21*T1^6*T2^11 + 11*T1^7*T2^11 - 3*T1^8*T2^11 + 10*T1^9*T2^11 - 
      23*T1^10*T2^11 + 21*T1^11*T2^11 - 8*T1^12*T2^11 - 4*T1^13*T2^11 + 
      2*T1^14*T2^11 + 6*T1^15*T2^11 - 2*T1^16*T2^11 - 3*T1^4*T2^12 - 
      3*T1^5*T2^12 + 17*T1^6*T2^12 - 19*T1^8*T2^12 + 12*T1^9*T2^12 + 
      11*T1^10*T2^12 - 8*T1^11*T2^12 - 7*T1^12*T2^12 + 16*T1^13*T2^12 - 
      7*T1^14*T2^12 - 3*T1^15*T2^12 + T1^16*T2^12 + 4*T1^5*T2^13 - 
      3*T1^6*T2^13 - 16*T1^7*T2^13 + 21*T1^8*T2^13 - 5*T1^9*T2^13 - 
      7*T1^10*T2^13 - 4*T1^11*T2^13 + 16*T1^12*T2^13 - 15*T1^13*T2^13 + 
      2*T1^14*T2^13 + 6*T1^15*T2^13 - 2*T1^16*T2^13 - 3*T1^6*T2^14 + 
      9*T1^7*T2^14 - 6*T1^8*T2^14 - 4*T1^9*T2^14 + 5*T1^10*T2^14 + 
      2*T1^11*T2^14 - 7*T1^12*T2^14 + 2*T1^13*T2^14 + 6*T1^14*T2^14 - 
      9*T1^15*T2^14 + 3*T1^16*T2^14 - 3*T1^8*T2^15 + 9*T1^9*T2^15 - 
      9*T1^10*T2^15 + 6*T1^11*T2^15 - 3*T1^12*T2^15 + 6*T1^13*T2^15 - 
      9*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 3*T1^10*T2^16 - 2*T1^11*T2^16 + T1^12*T2^16 - 
      2*T1^13*T2^16 + 3*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 28] -> 
  {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   (-2 + 10*T1 - 18*T1^2 + 10*T1^3 - 2*T1^4 + 10*T2 - 47*T1*T2 + 70*T1^2*T2 - 
     17*T1^4*T2 + 5*T1^5*T2 - 18*T2^2 + 70*T1*T2^2 - 48*T1^2*T2^2 - 
     160*T1^3*T2^2 + 96*T1^4*T2^2 - 20*T1^5*T2^2 + 10*T2^3 - 160*T1^2*T2^3 + 
     416*T1^3*T2^3 - 124*T1^4*T2^3 - 25*T1^5*T2^3 + 30*T1^6*T2^3 - 
     5*T1^7*T2^3 - 2*T2^4 - 17*T1*T2^4 + 96*T1^2*T2^4 - 124*T1^3*T2^4 - 
     228*T1^4*T2^4 + 256*T1^5*T2^4 - 118*T1^6*T2^4 + 13*T1^7*T2^4 + 
     2*T1^8*T2^4 + 5*T1*T2^5 - 20*T1^2*T2^5 - 25*T1^3*T2^5 + 256*T1^4*T2^5 - 
     284*T1^5*T2^5 + 110*T1^6*T2^5 + 10*T1^7*T2^5 - 10*T1^8*T2^5 + 
     30*T1^3*T2^6 - 118*T1^4*T2^6 + 110*T1^5*T2^6 + 26*T1^6*T2^6 - 
     60*T1^7*T2^6 + 18*T1^8*T2^6 - 5*T1^3*T2^7 + 13*T1^4*T2^7 + 
     10*T1^5*T2^7 - 60*T1^6*T2^7 + 43*T1^7*T2^7 - 10*T1^8*T2^7 + 
     2*T1^4*T2^8 - 10*T1^5*T2^8 + 18*T1^6*T2^8 - 10*T1^7*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 29] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-84 + 360*T1 - 524*T1^2 + 360*T1^3 - 84*T1^4 + 360*T2 - 1299*T1*T2 + 
      1208*T1^2*T2 - 40*T1^3*T2 - 675*T1^4*T2 + 243*T1^5*T2 - 524*T2^2 + 
      1208*T1*T2^2 + 977*T1^2*T2^2 - 3419*T1^3*T2^2 + 2801*T1^4*T2^2 - 
      274*T1^5*T2^2 - 182*T1^6*T2^2 + 360*T2^3 - 40*T1*T2^3 - 
      3419*T1^2*T2^3 + 4596*T1^3*T2^3 - 1436*T1^4*T2^3 - 1690*T1^5*T2^3 + 
      740*T1^6*T2^3 + 9*T1^7*T2^3 - 84*T2^4 - 675*T1*T2^4 + 2801*T1^2*T2^4 - 
      1436*T1^3*T2^4 - 2364*T1^4*T2^4 + 3504*T1^5*T2^4 - 909*T1^6*T2^4 - 
      129*T1^7*T2^4 + 24*T1^8*T2^4 + 243*T1*T2^5 - 274*T1^2*T2^5 - 
      1690*T1^3*T2^5 + 3504*T1^4*T2^5 - 2528*T1^5*T2^5 + 39*T1^6*T2^5 + 
      506*T1^7*T2^5 - 108*T1^8*T2^5 - 182*T1^2*T2^6 + 740*T1^3*T2^6 - 
      909*T1^4*T2^6 + 39*T1^5*T2^6 + 915*T1^6*T2^6 - 742*T1^7*T2^6 + 
      160*T1^8*T2^6 + 9*T1^3*T2^7 - 129*T1^4*T2^7 + 506*T1^5*T2^7 - 
      742*T1^6*T2^7 + 495*T1^7*T2^7 - 108*T1^8*T2^7 + 24*T1^4*T2^8 - 
      108*T1^5*T2^8 + 160*T1^6*T2^8 - 108*T1^7*T2^8 + 24*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 30] -> 
  {-((2 - 6*T + 6*T^2 - 5*T^3 + 6*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-41 + 123*T1 - 122*T1^2 + 101*T1^3 - 122*T1^4 + 123*T1^5 - 41*T1^6 + 
      123*T2 - 270*T1*T2 + 69*T1^2*T2 - 9*T1^3*T2 + 123*T1^4*T2 - 
      75*T1^5*T2 - 174*T1^6*T2 + 99*T1^7*T2 - 122*T2^2 + 69*T1*T2^2 + 
      455*T1^2*T2^2 - 369*T1^3*T2^2 + 159*T1^4*T2^2 - 345*T1^5*T2^2 + 
      551*T1^6*T2^2 - 75*T1^7*T2^2 - 74*T1^8*T2^2 + 101*T2^3 - 9*T1*T2^3 - 
      369*T1^2*T2^3 + 28*T1^3*T2^3 + 106*T1^4*T2^3 + 142*T1^5*T2^3 - 
      194*T1^6*T2^3 - 261*T1^7*T2^3 + 99*T1^8*T2^3 + 41*T1^9*T2^3 - 
      122*T2^4 + 123*T1*T2^4 + 159*T1^2*T2^4 + 106*T1^3*T2^4 - 
      125*T1^4*T2^4 - 77*T1^5*T2^4 + 127*T1^6*T2^4 + 106*T1^7*T2^4 + 
      87*T1^8*T2^4 - 45*T1^9*T2^4 - 26*T1^10*T2^4 + 123*T2^5 - 75*T1*T2^5 - 
      345*T1^2*T2^5 + 142*T1^3*T2^5 - 77*T1^4*T2^5 + 242*T1^5*T2^5 - 
      244*T1^6*T2^5 - 41*T1^7*T2^5 + 34*T1^8*T2^5 - 117*T1^9*T2^5 + 
      69*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 174*T1*T2^6 + 551*T1^2*T2^6 - 
      194*T1^3*T2^6 + 127*T1^4*T2^6 - 244*T1^5*T2^6 + 24*T1^6*T2^6 + 
      260*T1^7*T2^6 - 161*T1^8*T2^6 + 118*T1^9*T2^6 - 25*T1^10*T2^6 - 
      30*T1^11*T2^6 + 7*T1^12*T2^6 + 99*T1*T2^7 - 75*T1^2*T2^7 - 
      261*T1^3*T2^7 + 106*T1^4*T2^7 - 41*T1^5*T2^7 + 260*T1^6*T2^7 - 
      226*T1^7*T2^7 - 5*T1^8*T2^7 - 2*T1^9*T2^7 - 33*T1^10*T2^7 + 
      69*T1^11*T2^7 - 21*T1^12*T2^7 - 74*T1^2*T2^8 + 99*T1^3*T2^8 + 
      87*T1^4*T2^8 + 34*T1^5*T2^8 - 161*T1^6*T2^8 - 5*T1^7*T2^8 + 
      91*T1^8*T2^8 + 34*T1^9*T2^8 + 15*T1^10*T2^8 - 69*T1^11*T2^8 + 
      22*T1^12*T2^8 + 41*T1^3*T2^9 - 45*T1^4*T2^9 - 117*T1^5*T2^9 + 
      118*T1^6*T2^9 - 2*T1^7*T2^9 + 34*T1^8*T2^9 - 104*T1^9*T2^9 - 
      9*T1^10*T2^9 + 63*T1^11*T2^9 - 19*T1^12*T2^9 - 26*T1^4*T2^10 + 
      69*T1^5*T2^10 - 25*T1^6*T2^10 - 33*T1^7*T2^10 + 15*T1^8*T2^10 - 
      9*T1^9*T2^10 + 71*T1^10*T2^10 - 75*T1^11*T2^10 + 22*T1^12*T2^10 + 
      3*T1^5*T2^11 - 30*T1^6*T2^11 + 69*T1^7*T2^11 - 69*T1^8*T2^11 + 
      63*T1^9*T2^11 - 75*T1^10*T2^11 + 66*T1^11*T2^11 - 21*T1^12*T2^11 + 
      7*T1^6*T2^12 - 21*T1^7*T2^12 + 22*T1^8*T2^12 - 19*T1^9*T2^12 + 
      22*T1^10*T2^12 - 21*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 31] -> 
  {-((1 - 2*T - 2*T^2 + 5*T^3 - 2*T^4 - 2*T^5 + T^6)/T^3), 
   -((-5 + 10*T1 + 10*T1^2 - 25*T1^3 + 10*T1^4 + 10*T1^5 - 5*T1^6 + 10*T2 - 
      12*T1*T2 - 36*T1^2*T2 + 34*T1^3*T2 + 20*T1^4*T2 - 36*T1^5*T2 - 
      6*T1^6*T2 + 8*T1^7*T2 + 10*T2^2 - 36*T1*T2^2 + 17*T1^2*T2^2 + 
      70*T1^3*T2^2 - 111*T1^4*T2^2 + 42*T1^5*T2^2 + 29*T1^6*T2^2 - 
      28*T1^7*T2^2 + 6*T1^8*T2^2 - 25*T2^3 + 34*T1*T2^3 + 70*T1^2*T2^3 - 
      73*T1^3*T2^3 + 8*T1^4*T2^3 + 36*T1^5*T2^3 - 13*T1^6*T2^3 + 
      28*T1^7*T2^3 + 8*T1^8*T2^3 - 10*T1^9*T2^3 + 10*T2^4 + 20*T1*T2^4 - 
      111*T1^2*T2^4 + 8*T1^3*T2^4 + 165*T1^4*T2^4 - 185*T1^5*T2^4 + 
      49*T1^6*T2^4 + 28*T1^7*T2^4 - 55*T1^8*T2^4 + 16*T1^9*T2^4 + 
      2*T1^10*T2^4 + 10*T2^5 - 36*T1*T2^5 + 42*T1^2*T2^5 + 36*T1^3*T2^5 - 
      185*T1^4*T2^5 + 112*T1^5*T2^5 + 72*T1^6*T2^5 - 117*T1^7*T2^5 - 
      8*T1^8*T2^5 + 28*T1^9*T2^5 - 4*T1^10*T2^5 - 5*T2^6 - 6*T1*T2^6 + 
      29*T1^2*T2^6 - 13*T1^3*T2^6 + 49*T1^4*T2^6 + 72*T1^5*T2^6 - 
      156*T1^6*T2^6 + 68*T1^7*T2^6 + 93*T1^8*T2^6 - 31*T1^9*T2^6 - 
      7*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 + 8*T1*T2^7 - 28*T1^2*T2^7 + 
      28*T1^3*T2^7 + 28*T1^4*T2^7 - 117*T1^5*T2^7 + 68*T1^6*T2^7 + 
      28*T1^7*T2^7 - 49*T1^8*T2^7 - 16*T1^9*T2^7 + 14*T1^10*T2^7 + 
      4*T1^11*T2^7 - 2*T1^12*T2^7 + 6*T1^2*T2^8 + 8*T1^3*T2^8 - 
      55*T1^4*T2^8 - 8*T1^5*T2^8 + 93*T1^6*T2^8 - 49*T1^7*T2^8 - 
      23*T1^8*T2^8 + 12*T1^9*T2^8 + T1^10*T2^8 + 4*T1^11*T2^8 - 
      2*T1^12*T2^8 - 10*T1^3*T2^9 + 16*T1^4*T2^9 + 28*T1^5*T2^9 - 
      31*T1^6*T2^9 - 16*T1^7*T2^9 + 12*T1^8*T2^9 + 29*T1^9*T2^9 - 
      14*T1^10*T2^9 - 10*T1^11*T2^9 + 5*T1^12*T2^9 + 2*T1^4*T2^10 - 
      4*T1^5*T2^10 - 7*T1^6*T2^10 + 14*T1^7*T2^10 + T1^8*T2^10 - 
      14*T1^9*T2^10 + 5*T1^10*T2^10 + 4*T1^11*T2^10 - 2*T1^12*T2^10 - 
      2*T1^6*T2^11 + 4*T1^7*T2^11 + 4*T1^8*T2^11 - 10*T1^9*T2^11 + 
      4*T1^10*T2^11 + 4*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 
      2*T1^7*T2^12 - 2*T1^8*T2^12 + 5*T1^9*T2^12 - 2*T1^10*T2^12 - 
      2*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 32] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 48*T1^2 + 69*T1^3 - 48*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 216*T1^2*T2 - 222*T1^3*T2 + 12*T1^4*T2 + 84*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 48*T2^2 + 216*T1*T2^2 - 355*T1^2*T2^2 + 
      61*T1^3*T2^2 + 613*T1^4*T2^2 - 483*T1^5*T2^2 + 125*T1^6*T2^2 + 
      24*T1^7*T2^2 - 16*T1^8*T2^2 + 69*T2^3 - 222*T1*T2^3 + 61*T1^2*T2^3 + 
      871*T1^3*T2^3 - 1756*T1^4*T2^3 + 470*T1^5*T2^3 + 415*T1^6*T2^3 - 
      371*T1^7*T2^3 + 96*T1^8*T2^3 - 48*T2^4 + 12*T1*T2^4 + 613*T1^2*T2^4 - 
      1756*T1^3*T2^4 + 1568*T1^4*T2^4 + 1566*T1^5*T2^4 - 2164*T1^6*T2^4 + 
      912*T1^7*T2^4 - 19*T1^8*T2^4 - 96*T1^9*T2^4 + 16*T1^10*T2^4 + 18*T2^5 + 
      84*T1*T2^5 - 483*T1^2*T2^5 + 470*T1^3*T2^5 + 1566*T1^4*T2^5 - 
      4912*T1^5*T2^5 + 3314*T1^6*T2^5 - 98*T1^7*T2^5 - 872*T1^8*T2^5 + 
      397*T1^9*T2^5 - 24*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      125*T1^2*T2^6 + 415*T1^3*T2^6 - 2164*T1^4*T2^6 + 3314*T1^5*T2^6 - 
      3266*T1^7*T2^6 + 2300*T1^8*T2^6 - 491*T1^9*T2^6 - 131*T1^10*T2^6 + 
      54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 24*T1^2*T2^7 - 
      371*T1^3*T2^7 + 912*T1^4*T2^7 - 98*T1^5*T2^7 - 3266*T1^6*T2^7 + 
      4960*T1^7*T2^7 - 1762*T1^8*T2^7 - 430*T1^9*T2^7 + 509*T1^10*T2^7 - 
      84*T1^11*T2^7 - 18*T1^12*T2^7 - 16*T1^2*T2^8 + 96*T1^3*T2^8 - 
      19*T1^4*T2^8 - 872*T1^5*T2^8 + 2300*T1^6*T2^8 - 1762*T1^7*T2^8 - 
      1432*T1^8*T2^8 + 1796*T1^9*T2^8 - 651*T1^10*T2^8 - 12*T1^11*T2^8 + 
      48*T1^12*T2^8 - 96*T1^4*T2^9 + 397*T1^5*T2^9 - 491*T1^6*T2^9 - 
      430*T1^7*T2^9 + 1796*T1^8*T2^9 - 947*T1^9*T2^9 - 35*T1^10*T2^9 + 
      222*T1^11*T2^9 - 69*T1^12*T2^9 + 16*T1^4*T2^10 - 24*T1^5*T2^10 - 
      131*T1^6*T2^10 + 509*T1^7*T2^10 - 651*T1^8*T2^10 - 35*T1^9*T2^10 + 
      349*T1^10*T2^10 - 216*T1^11*T2^10 + 48*T1^12*T2^10 - 12*T1^5*T2^11 + 
      54*T1^6*T2^11 - 84*T1^7*T2^11 - 12*T1^8*T2^11 + 222*T1^9*T2^11 - 
      216*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 
      18*T1^7*T2^12 + 48*T1^8*T2^12 - 69*T1^9*T2^12 + 48*T1^10*T2^12 - 
      18*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 33] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 48*T1^2 + 52*T1^3 - 48*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 180*T1^2*T2 - 96*T1^3*T2 + 54*T1^4*T2 + 72*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 48*T2^2 + 180*T1*T2^2 + 45*T1^2*T2^2 - 
     521*T1^3*T2^2 + 535*T1^4*T2^2 - 689*T1^5*T2^2 + 309*T1^6*T2^2 + 
     36*T1^7*T2^2 - 24*T1^8*T2^2 + 52*T2^3 - 96*T1*T2^3 - 521*T1^2*T2^3 + 
     1071*T1^3*T2^3 - 561*T1^4*T2^3 + 537*T1^5*T2^3 + 321*T1^6*T2^3 - 
     485*T1^7*T2^3 + 66*T1^8*T2^3 + 13*T1^9*T2^3 - 48*T2^4 + 54*T1*T2^4 + 
     535*T1^2*T2^4 - 561*T1^3*T2^4 - 578*T1^4*T2^4 + 576*T1^5*T2^4 - 
     1142*T1^6*T2^4 + 531*T1^7*T2^4 + 175*T1^8*T2^4 - 78*T1^9*T2^4 + 
     24*T2^5 + 72*T1*T2^5 - 689*T1^2*T2^5 + 537*T1^3*T2^5 + 576*T1^4*T2^5 - 
     134*T1^5*T2^5 + 88*T1^6*T2^5 + 432*T1^7*T2^5 - 573*T1^8*T2^5 + 
     91*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     309*T1^2*T2^6 + 321*T1^3*T2^6 - 1142*T1^4*T2^6 + 88*T1^5*T2^6 + 
     384*T1^6*T2^6 - 380*T1^7*T2^6 + 226*T1^8*T2^6 + 243*T1^9*T2^6 - 
     195*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     36*T1^2*T2^7 - 485*T1^3*T2^7 + 531*T1^4*T2^7 + 432*T1^5*T2^7 - 
     380*T1^6*T2^7 - 158*T1^7*T2^7 + 288*T1^8*T2^7 - 579*T1^9*T2^7 + 
     295*T1^10*T2^7 - 12*T1^12*T2^7 - 24*T1^2*T2^8 + 66*T1^3*T2^8 + 
     175*T1^4*T2^8 - 573*T1^5*T2^8 + 226*T1^6*T2^8 + 288*T1^7*T2^8 - 
     338*T1^8*T2^8 + 519*T1^9*T2^8 - 185*T1^10*T2^8 - 66*T1^11*T2^8 + 
     24*T1^12*T2^8 + 13*T1^3*T2^9 - 78*T1^4*T2^9 + 91*T1^5*T2^9 + 
     243*T1^6*T2^9 - 579*T1^7*T2^9 + 519*T1^8*T2^9 - 507*T1^9*T2^9 + 
     127*T1^10*T2^9 + 84*T1^11*T2^9 - 26*T1^12*T2^9 + 36*T1^5*T2^10 - 
     195*T1^6*T2^10 + 295*T1^7*T2^10 - 185*T1^8*T2^10 + 127*T1^9*T2^10 + 
     69*T1^10*T2^10 - 108*T1^11*T2^10 + 24*T1^12*T2^10 - 6*T1^5*T2^11 + 
     24*T1^6*T2^11 - 66*T1^8*T2^11 + 84*T1^9*T2^11 - 108*T1^10*T2^11 + 
     66*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
     24*T1^8*T2^12 - 26*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 34] -> 
  {1, (T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
     T2^2 + 2*T1*T2^2 - 2*T1^2*T2^2 - 2*T1^4*T2^2 - 2*T1^6*T2^2 + 
     2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + T1^4*T2^3 + T1^5*T2^3 - 2*T1^9*T2^3 + 
     T2^4 - 2*T1^2*T2^4 + T1^3*T2^4 + 2*T1^4*T2^4 + 2*T1^6*T2^4 + T1^7*T2^4 - 
     2*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + T1^3*T2^5 - 4*T1^5*T2^5 - 
     4*T1^6*T2^5 + T1^8*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 2*T1^2*T2^6 + 
     2*T1^4*T2^6 - 4*T1^5*T2^6 + 12*T1^6*T2^6 - 4*T1^7*T2^6 + 2*T1^8*T2^6 - 
     2*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + T1^4*T2^7 - 4*T1^6*T2^7 - 
     4*T1^7*T2^7 + T1^9*T2^7 + 2*T1^11*T2^7 + T1^2*T2^8 - 2*T1^4*T2^8 + 
     T1^5*T2^8 + 2*T1^6*T2^8 + 2*T1^8*T2^8 + T1^9*T2^8 - 2*T1^10*T2^8 + 
     T1^12*T2^8 - 2*T1^3*T2^9 + T1^7*T2^9 + T1^8*T2^9 - 2*T1^12*T2^9 + 
     T1^4*T2^10 + 2*T1^5*T2^10 - 2*T1^6*T2^10 - 2*T1^8*T2^10 - 
     2*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 - 2*T1^6*T2^11 + 
     2*T1^7*T2^11 + 2*T1^10*T2^11 - 2*T1^11*T2^11 + T1^8*T2^12 - 
     2*T1^9*T2^12 + T1^10*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 35] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 204*T1 - 407*T1^2 + 509*T1^3 - 407*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 850*T1*T2 + 1203*T1^2*T2 - 903*T1^3*T2 - 3*T1^4*T2 + 
      603*T1^5*T2 - 610*T1^6*T2 + 164*T1^7*T2 - 407*T2^2 + 1203*T1*T2^2 - 
      197*T1^2*T2^2 - 1855*T1^3*T2^2 + 3677*T1^4*T2^2 - 3055*T1^5*T2^2 + 
      1243*T1^6*T2^2 + 403*T1^7*T2^2 - 247*T1^8*T2^2 + 509*T2^3 - 
      903*T1*T2^3 - 1855*T1^2*T2^3 + 4008*T1^3*T2^3 - 4051*T1^4*T2^3 + 
      449*T1^5*T2^3 + 2058*T1^6*T2^3 - 2455*T1^7*T2^3 + 197*T1^8*T2^3 + 
      209*T1^9*T2^3 - 407*T2^4 - 3*T1*T2^4 + 3677*T1^2*T2^4 - 
      4051*T1^3*T2^4 + 1794*T1^4*T2^4 + 2704*T1^5*T2^4 - 2826*T1^6*T2^4 + 
      949*T1^7*T2^4 + 1877*T1^8*T2^4 - 603*T1^9*T2^4 - 87*T1^10*T2^4 + 
      204*T2^5 + 603*T1*T2^5 - 3055*T1^2*T2^5 + 449*T1^3*T2^5 + 
      2704*T1^4*T2^5 - 4724*T1^5*T2^5 + 976*T1^6*T2^5 + 1904*T1^7*T2^5 - 
      3051*T1^8*T2^5 - 55*T1^9*T2^5 + 403*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 610*T1*T2^6 + 1243*T1^2*T2^6 + 2058*T1^3*T2^6 - 
      2826*T1^4*T2^6 + 976*T1^5*T2^6 + 3744*T1^6*T2^6 - 4064*T1^7*T2^6 + 
      2054*T1^8*T2^6 + 1458*T1^9*T2^6 - 677*T1^10*T2^6 - 50*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 403*T1^2*T2^7 - 2455*T1^3*T2^7 + 
      949*T1^4*T2^7 + 1904*T1^5*T2^7 - 4064*T1^6*T2^7 + 1636*T1^7*T2^7 + 
      1104*T1^8*T2^7 - 2551*T1^9*T2^7 + 545*T1^10*T2^7 + 203*T1^11*T2^7 - 
      36*T1^12*T2^7 - 247*T1^2*T2^8 + 197*T1^3*T2^8 + 1877*T1^4*T2^8 - 
      3051*T1^5*T2^8 + 2054*T1^6*T2^8 + 1104*T1^7*T2^8 - 2566*T1^8*T2^8 + 
      1949*T1^9*T2^8 + 77*T1^10*T2^8 - 403*T1^11*T2^8 + 73*T1^12*T2^8 + 
      209*T1^3*T2^9 - 603*T1^4*T2^9 - 55*T1^5*T2^9 + 1458*T1^6*T2^9 - 
      2551*T1^7*T2^9 + 1949*T1^8*T2^9 - 492*T1^9*T2^9 - 655*T1^10*T2^9 + 
      497*T1^11*T2^9 - 91*T1^12*T2^9 - 87*T1^4*T2^10 + 403*T1^5*T2^10 - 
      677*T1^6*T2^10 + 545*T1^7*T2^10 + 77*T1^8*T2^10 - 655*T1^9*T2^10 + 
      763*T1^10*T2^10 - 397*T1^11*T2^10 + 73*T1^12*T2^10 + 4*T1^5*T2^11 - 
      50*T1^6*T2^11 + 203*T1^7*T2^11 - 403*T1^8*T2^11 + 497*T1^9*T2^11 - 
      397*T1^10*T2^11 + 190*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 73*T1^8*T2^12 - 91*T1^9*T2^12 + 73*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 36] -> 
  {-((1 - 4*T + 8*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 40*T1^2 + 65*T1^3 - 75*T1^4 + 65*T1^5 - 40*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 96*T1^2*T2 - 132*T1^3*T2 + 
      92*T1^4*T2 - 20*T1^5*T2 - 48*T1^6*T2 + 48*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 40*T2^2 + 96*T1*T2^2 - 88*T1^2*T2^2 + 103*T1^3*T2^2 + 
      45*T1^4*T2^2 - 136*T1^5*T2^2 + 157*T1^6*T2^2 - 41*T1^7*T2^2 + 
      24*T1^8*T2^2 + 32*T1^9*T2^2 - 24*T1^10*T2^2 + 65*T2^3 - 132*T1*T2^3 + 
      103*T1^2*T2^3 - 169*T1^3*T2^3 - 51*T1^4*T2^3 + 54*T1^5*T2^3 - 
      23*T1^6*T2^3 - 120*T1^7*T2^3 - 7*T1^8*T2^3 - 49*T1^9*T2^3 - 
      8*T1^10*T2^3 + 26*T1^11*T2^3 - 75*T2^4 + 92*T1*T2^4 + 45*T1^2*T2^4 - 
      51*T1^3*T2^4 + 479*T1^4*T2^4 - 412*T1^5*T2^4 + 379*T1^6*T2^4 - 
      224*T1^7*T2^4 + 383*T1^8*T2^4 - 103*T1^9*T2^4 + 109*T1^10*T2^4 - 
      44*T1^11*T2^4 - 15*T1^12*T2^4 + 65*T2^5 - 20*T1*T2^5 - 136*T1^2*T2^5 + 
      54*T1^3*T2^5 - 412*T1^4*T2^5 + 73*T1^5*T2^5 - 60*T1^6*T2^5 + 
      28*T1^7*T2^5 - 253*T1^8*T2^5 - 115*T1^9*T2^5 - 21*T1^10*T2^5 - 
      40*T1^11*T2^5 + 60*T1^12*T2^5 - 40*T2^6 - 48*T1*T2^6 + 157*T1^2*T2^6 - 
      23*T1^3*T2^6 + 379*T1^4*T2^6 - 60*T1^5*T2^6 + 296*T1^6*T2^6 - 
      396*T1^7*T2^6 + 440*T1^8*T2^6 + 68*T1^9*T2^6 + 75*T1^10*T2^6 + 
      57*T1^11*T2^6 - 51*T1^12*T2^6 - 32*T1^13*T2^6 + 8*T1^14*T2^6 + 
      20*T2^7 + 48*T1*T2^7 - 41*T1^2*T2^7 - 120*T1^3*T2^7 - 224*T1^4*T2^7 + 
      28*T1^5*T2^7 - 396*T1^6*T2^7 + 457*T1^7*T2^7 - 231*T1^8*T2^7 - 
      213*T1^9*T2^7 + 20*T1^10*T2^7 - 85*T1^11*T2^7 + 17*T1^12*T2^7 + 
      63*T1^13*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 24*T1^2*T2^8 - 
      7*T1^3*T2^8 + 383*T1^4*T2^8 - 253*T1^5*T2^8 + 440*T1^6*T2^8 - 
      231*T1^7*T2^8 - 264*T1^8*T2^8 + 471*T1^9*T2^8 - 202*T1^10*T2^8 + 
      121*T1^11*T2^8 - 49*T1^12*T2^8 - 29*T1^13*T2^8 - 40*T1^14*T2^8 + 
      20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 
      49*T1^3*T2^9 - 103*T1^4*T2^9 - 115*T1^5*T2^9 + 68*T1^6*T2^9 - 
      213*T1^7*T2^9 + 471*T1^8*T2^9 - 217*T1^9*T2^9 - 30*T1^10*T2^9 + 
      60*T1^11*T2^9 + 24*T1^12*T2^9 + 34*T1^13*T2^9 + 55*T1^14*T2^9 - 
      16*T1^15*T2^9 - 12*T1^16*T2^9 - 24*T1^2*T2^10 - 8*T1^3*T2^10 + 
      109*T1^4*T2^10 - 21*T1^5*T2^10 + 75*T1^6*T2^10 + 20*T1^7*T2^10 - 
      202*T1^8*T2^10 - 30*T1^9*T2^10 - 58*T1^10*T2^10 + 148*T1^11*T2^10 - 
      229*T1^12*T2^10 + 59*T1^13*T2^10 - 99*T1^14*T2^10 + 8*T1^15*T2^10 + 
      24*T1^16*T2^10 + 26*T1^3*T2^11 - 44*T1^4*T2^11 - 40*T1^5*T2^11 + 
      57*T1^6*T2^11 - 85*T1^7*T2^11 + 121*T1^8*T2^11 + 60*T1^9*T2^11 + 
      148*T1^10*T2^11 - 205*T1^11*T2^11 + 212*T1^12*T2^11 - 18*T1^13*T2^11 + 
      56*T1^14*T2^11 + 36*T1^15*T2^11 - 39*T1^16*T2^11 - 15*T1^4*T2^12 + 
      60*T1^5*T2^12 - 51*T1^6*T2^12 + 17*T1^7*T2^12 - 49*T1^8*T2^12 + 
      24*T1^9*T2^12 - 229*T1^10*T2^12 + 212*T1^11*T2^12 - 145*T1^12*T2^12 - 
      35*T1^13*T2^12 + 13*T1^14*T2^12 - 76*T1^15*T2^12 + 45*T1^16*T2^12 - 
      32*T1^6*T2^13 + 63*T1^7*T2^13 - 29*T1^8*T2^13 + 34*T1^9*T2^13 + 
      59*T1^10*T2^13 - 18*T1^11*T2^13 - 35*T1^12*T2^13 + 133*T1^13*T2^13 - 
      89*T1^14*T2^13 + 92*T1^15*T2^13 - 39*T1^16*T2^13 + 8*T1^6*T2^14 - 
      40*T1^8*T2^14 + 55*T1^9*T2^14 - 99*T1^10*T2^14 + 56*T1^11*T2^14 + 
      13*T1^12*T2^14 - 89*T1^13*T2^14 + 72*T1^14*T2^14 - 64*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 16*T1^9*T2^15 + 
      8*T1^10*T2^15 + 36*T1^11*T2^15 - 76*T1^12*T2^15 + 92*T1^13*T2^15 - 
      64*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 24*T1^10*T2^16 - 39*T1^11*T2^16 + 45*T1^12*T2^16 - 
      39*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 37] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -((-3 + 9*T1 - 15*T1^2 + 21*T1^3 - 15*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 27*T1^2*T2 - 33*T1^3*T2 + 3*T1^4*T2 + 3*T1^5*T2 - 
      9*T1^6*T2 + 6*T1^7*T2 - 15*T2^2 + 27*T1*T2^2 - 24*T1^2*T2^2 + 
      22*T1^3*T2^2 + 36*T1^4*T2^2 - 18*T1^5*T2^2 + 16*T1^6*T2^2 - 
      3*T1^7*T2^2 - 5*T1^8*T2^2 + 21*T2^3 - 33*T1*T2^3 + 22*T1^2*T2^3 - 
      20*T1^3*T2^3 - 36*T1^4*T2^3 - 24*T1^5*T2^3 + 28*T1^6*T2^3 - 
      23*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T2^4 + 3*T1*T2^4 + 36*T1^2*T2^4 - 
      36*T1^3*T2^4 + 47*T1^4*T2^4 + 43*T1^5*T2^4 - 41*T1^6*T2^4 - 
      8*T1^7*T2^4 + 10*T1^8*T2^4 - 15*T1^9*T2^4 + 5*T1^10*T2^4 + 9*T2^5 + 
      3*T1*T2^5 - 18*T1^2*T2^5 - 24*T1^3*T2^5 + 43*T1^4*T2^5 - 75*T1^5*T2^5 + 
      45*T1^6*T2^5 + 48*T1^7*T2^5 - 4*T1^8*T2^5 + 7*T1^9*T2^5 + 
      3*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 16*T1^2*T2^6 + 
      28*T1^3*T2^6 - 41*T1^4*T2^6 + 45*T1^5*T2^6 - 60*T1^6*T2^6 - 
      29*T1^7*T2^6 - 63*T1^8*T2^6 + 16*T1^9*T2^6 - 12*T1^10*T2^6 + 
      9*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 3*T1^2*T2^7 - 23*T1^3*T2^7 - 
      8*T1^4*T2^7 + 48*T1^5*T2^7 - 29*T1^6*T2^7 + 91*T1^7*T2^7 + 
      53*T1^8*T2^7 + 12*T1^9*T2^7 + 2*T1^10*T2^7 - 3*T1^11*T2^7 - 
      9*T1^12*T2^7 - 5*T1^2*T2^8 + 15*T1^3*T2^8 + 10*T1^4*T2^8 - 
      4*T1^5*T2^8 - 63*T1^6*T2^8 + 53*T1^7*T2^8 - 151*T1^8*T2^8 + 
      24*T1^9*T2^8 - 16*T1^10*T2^8 - 3*T1^11*T2^8 + 15*T1^12*T2^8 - 
      15*T1^4*T2^9 + 7*T1^5*T2^9 + 16*T1^6*T2^9 + 12*T1^7*T2^9 + 
      24*T1^8*T2^9 + 64*T1^9*T2^9 - 38*T1^10*T2^9 + 33*T1^11*T2^9 - 
      21*T1^12*T2^9 + 5*T1^4*T2^10 + 3*T1^5*T2^10 - 12*T1^6*T2^10 + 
      2*T1^7*T2^10 - 16*T1^8*T2^10 - 38*T1^9*T2^10 + 28*T1^10*T2^10 - 
      27*T1^11*T2^10 + 15*T1^12*T2^10 - 6*T1^5*T2^11 + 9*T1^6*T2^11 - 
      3*T1^7*T2^11 - 3*T1^8*T2^11 + 33*T1^9*T2^11 - 27*T1^10*T2^11 + 
      21*T1^11*T2^11 - 9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 
      15*T1^8*T2^12 - 21*T1^9*T2^12 + 15*T1^10*T2^12 - 9*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 38] -> {-((1 - T - T^2 - T^3 + T^4)/T^2), 
   -((-3 + 3*T1 + 3*T1^2 + 3*T1^3 - 3*T1^4 + 3*T2 + T1*T2 - 8*T1^2*T2 - 
      8*T1^3*T2 + 3*T1^4*T2 + 2*T1^5*T2 + 3*T2^2 - 8*T1*T2^2 + T1^2*T2^2 + 
      7*T1^3*T2^2 + 5*T1^4*T2^2 - 6*T1^5*T2^2 + T1^6*T2^2 + 3*T2^3 - 
      8*T1*T2^3 + 7*T1^2*T2^3 - 2*T1^3*T2^3 + 4*T1^4*T2^3 + 8*T1^5*T2^3 - 
      4*T1^6*T2^3 - 3*T2^4 + 3*T1*T2^4 + 5*T1^2*T2^4 + 4*T1^3*T2^4 - 
      24*T1^4*T2^4 - 4*T1^5*T2^4 - T1^6*T2^4 + T1^7*T2^4 + T1^8*T2^4 + 
      2*T1*T2^5 - 6*T1^2*T2^5 + 8*T1^3*T2^5 - 4*T1^4*T2^5 + 2*T1^5*T2^5 + 
      9*T1^6*T2^5 - 2*T1^7*T2^5 - T1^8*T2^5 + T1^2*T2^6 - 4*T1^3*T2^6 - 
      T1^4*T2^6 + 9*T1^5*T2^6 + 3*T1^6*T2^6 - 2*T1^7*T2^6 - T1^8*T2^6 + 
      T1^4*T2^7 - 2*T1^5*T2^7 - 2*T1^6*T2^7 + 3*T1^7*T2^7 - T1^8*T2^7 + 
      T1^4*T2^8 - T1^5*T2^8 - T1^6*T2^8 - T1^7*T2^8 + T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 39] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-19 + 55*T1 - 83*T1^2 + 55*T1^3 - 19*T1^4 + 55*T2 - 124*T1*T2 + 
     152*T1^2*T2 - 28*T1^3*T2 - 28*T1^4*T2 + 31*T1^5*T2 - 83*T2^2 + 
     152*T1*T2^2 - 163*T1^2*T2^2 - 61*T1^3*T2^2 + 89*T1^4*T2^2 - 
     64*T1^5*T2^2 - 11*T1^6*T2^2 + 55*T2^3 - 28*T1*T2^3 - 61*T1^2*T2^3 + 
     320*T1^3*T2^3 - 202*T1^4*T2^3 + 47*T1^5*T2^3 + 80*T1^6*T2^3 - 
     17*T1^7*T2^3 - 19*T2^4 - 28*T1*T2^4 + 89*T1^2*T2^4 - 202*T1^3*T2^4 - 
     36*T1^4*T2^4 + 206*T1^5*T2^4 - 199*T1^6*T2^4 + 20*T1^7*T2^4 + 
     13*T1^8*T2^4 + 31*T1*T2^5 - 64*T1^2*T2^5 + 47*T1^3*T2^5 + 
     206*T1^4*T2^5 - 316*T1^5*T2^5 + 155*T1^6*T2^5 + 44*T1^7*T2^5 - 
     41*T1^8*T2^5 - 11*T1^2*T2^6 + 80*T1^3*T2^6 - 199*T1^4*T2^6 + 
     155*T1^5*T2^6 + 53*T1^6*T2^6 - 136*T1^7*T2^6 + 61*T1^8*T2^6 - 
     17*T1^3*T2^7 + 20*T1^4*T2^7 + 44*T1^5*T2^7 - 136*T1^6*T2^7 + 
     116*T1^7*T2^7 - 41*T1^8*T2^7 + 13*T1^4*T2^8 - 41*T1^5*T2^8 + 
     61*T1^6*T2^8 - 41*T1^7*T2^8 + 13*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 40] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-33 + 132*T1 - 298*T1^2 + 381*T1^3 - 298*T1^4 + 132*T1^5 - 33*T1^6 + 
     132*T2 - 426*T1*T2 + 787*T1^2*T2 - 617*T1^3*T2 + 39*T1^4*T2 + 
     371*T1^5*T2 - 266*T1^6*T2 + 100*T1^7*T2 - 298*T2^2 + 787*T1*T2^2 - 
     1262*T1^2*T2^2 + 514*T1^3*T2^2 + 428*T1^4*T2^2 - 566*T1^5*T2^2 - 
     110*T1^6*T2^2 + 211*T1^7*T2^2 - 154*T1^8*T2^2 + 381*T2^3 - 617*T1*T2^3 + 
     514*T1^2*T2^3 + 1262*T1^3*T2^3 - 1754*T1^4*T2^3 + 562*T1^5*T2^3 + 
     968*T1^6*T2^3 - 530*T1^7*T2^3 + 199*T1^8*T2^3 + 105*T1^9*T2^3 - 
     298*T2^4 + 39*T1*T2^4 + 428*T1^2*T2^4 - 1754*T1^3*T2^4 - 175*T1^4*T2^4 + 
     2797*T1^5*T2^4 - 3391*T1^6*T2^4 + 822*T1^7*T2^4 + 76*T1^8*T2^4 - 
     377*T1^9*T2^4 - 10*T1^10*T2^4 + 132*T2^5 + 371*T1*T2^5 - 566*T1^2*T2^5 + 
     562*T1^3*T2^5 + 2797*T1^4*T2^5 - 4256*T1^5*T2^5 + 2286*T1^6*T2^5 + 
     1393*T1^7*T2^5 - 1234*T1^8*T2^5 + 622*T1^9*T2^5 + 147*T1^10*T2^5 - 
     28*T1^11*T2^5 - 33*T2^6 - 266*T1*T2^6 - 110*T1^2*T2^6 + 968*T1^3*T2^6 - 
     3391*T1^4*T2^6 + 2286*T1^5*T2^6 + 1176*T1^6*T2^6 - 3530*T1^7*T2^6 + 
     1521*T1^8*T2^6 - 160*T1^9*T2^6 - 430*T1^10*T2^6 + 54*T1^11*T2^6 + 
     15*T1^12*T2^6 + 100*T1*T2^7 + 211*T1^2*T2^7 - 530*T1^3*T2^7 + 
     822*T1^4*T2^7 + 1393*T1^5*T2^7 - 3530*T1^6*T2^7 + 3012*T1^7*T2^7 - 
     11*T1^8*T2^7 - 974*T1^9*T2^7 + 658*T1^10*T2^7 - 13*T1^11*T2^7 - 
     60*T1^12*T2^7 - 154*T1^2*T2^8 + 199*T1^3*T2^8 + 76*T1^4*T2^8 - 
     1234*T1^5*T2^8 + 1521*T1^6*T2^8 - 11*T1^7*T2^8 - 1695*T1^8*T2^8 + 
     1342*T1^9*T2^8 - 276*T1^10*T2^8 - 217*T1^11*T2^8 + 134*T1^12*T2^8 + 
     105*T1^3*T2^9 - 377*T1^4*T2^9 + 622*T1^5*T2^9 - 160*T1^6*T2^9 - 
     974*T1^7*T2^9 + 1342*T1^8*T2^9 - 454*T1^9*T2^9 - 422*T1^10*T2^9 + 
     439*T1^11*T2^9 - 171*T1^12*T2^9 - 10*T1^4*T2^10 + 147*T1^5*T2^10 - 
     430*T1^6*T2^10 + 658*T1^7*T2^10 - 276*T1^8*T2^10 - 422*T1^9*T2^10 + 
     722*T1^10*T2^10 - 429*T1^11*T2^10 + 134*T1^12*T2^10 - 28*T1^5*T2^11 + 
     54*T1^6*T2^11 - 13*T1^7*T2^11 - 217*T1^8*T2^11 + 439*T1^9*T2^11 - 
     429*T1^10*T2^11 + 214*T1^11*T2^11 - 60*T1^12*T2^11 + 15*T1^6*T2^12 - 
     60*T1^7*T2^12 + 134*T1^8*T2^12 - 171*T1^9*T2^12 + 134*T1^10*T2^12 - 
     60*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 41] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 9*T^4 - 9*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 48*T1^2 + 54*T1^3 - 54*T1^4 + 54*T1^5 - 48*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 112*T1^2*T2 - 56*T1^3*T2 + 36*T1^4*T2 - 
     36*T1^5*T2 + 12*T1^6*T2 + 64*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     48*T2^2 + 112*T1*T2^2 - 94*T1^2*T2^2 - 87*T1^3*T2^2 + 46*T1^4*T2^2 - 
     16*T1^5*T2^2 + 62*T1^6*T2^2 - 167*T1^7*T2^2 + 18*T1^8*T2^2 + 
     48*T1^9*T2^2 - 32*T1^10*T2^2 + 54*T2^3 - 56*T1*T2^3 - 87*T1^2*T2^3 + 
     323*T1^3*T2^3 - 57*T1^4*T2^3 + 22*T1^5*T2^3 - 95*T1^6*T2^3 + 
     136*T1^7*T2^3 + 209*T1^8*T2^3 - 143*T1^9*T2^3 + 20*T1^10*T2^3 + 
     27*T1^11*T2^3 - 54*T2^4 + 36*T1*T2^4 + 46*T1^2*T2^4 - 57*T1^3*T2^4 - 
     471*T1^4*T2^4 + 370*T1^5*T2^4 - 259*T1^6*T2^4 + 262*T1^7*T2^4 - 
     543*T1^8*T2^4 + 123*T1^9*T2^4 + 46*T1^10*T2^4 - 36*T1^11*T2^4 - 
     18*T1^12*T2^4 + 54*T2^5 - 36*T1*T2^5 - 16*T1^2*T2^5 + 22*T1^3*T2^5 + 
     370*T1^4*T2^5 - 37*T1^5*T2^5 - 27*T1^6*T2^5 - 27*T1^7*T2^5 + 
     233*T1^8*T2^5 + 181*T1^9*T2^5 - 77*T1^10*T2^5 - 16*T1^11*T2^5 + 
     36*T1^12*T2^5 + 9*T1^13*T2^5 - 48*T2^6 + 12*T1*T2^6 + 62*T1^2*T2^6 - 
     95*T1^3*T2^6 - 259*T1^4*T2^6 - 27*T1^5*T2^6 - 41*T1^6*T2^6 + 
     127*T1^7*T2^6 - 281*T1^8*T2^6 - 27*T1^9*T2^6 - 115*T1^10*T2^6 + 
     49*T1^11*T2^6 + 14*T1^12*T2^6 - 36*T1^13*T2^6 + 24*T2^7 + 64*T1*T2^7 - 
     167*T1^2*T2^7 + 136*T1^3*T2^7 + 262*T1^4*T2^7 - 27*T1^5*T2^7 + 
     127*T1^6*T2^7 - 203*T1^7*T2^7 + 231*T1^8*T2^7 + 72*T1^9*T2^7 - 
     27*T1^10*T2^7 + 127*T1^11*T2^7 - 109*T1^12*T2^7 + 33*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 18*T1^2*T2^8 + 
     209*T1^3*T2^8 - 543*T1^4*T2^8 + 233*T1^5*T2^8 - 281*T1^6*T2^8 + 
     231*T1^7*T2^8 - 12*T1^8*T2^8 - 247*T1^9*T2^8 + 157*T1^10*T2^8 - 
     145*T1^11*T2^8 + 65*T1^12*T2^8 + 43*T1^13*T2^8 - 46*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 48*T1^2*T2^9 - 
     143*T1^3*T2^9 + 123*T1^4*T2^9 + 181*T1^5*T2^9 - 27*T1^6*T2^9 + 
     72*T1^7*T2^9 - 247*T1^8*T2^9 + 187*T1^9*T2^9 + 17*T1^10*T2^9 - 
     27*T1^11*T2^9 + 46*T1^12*T2^9 - 122*T1^13*T2^9 + 57*T1^14*T2^9 - 
     8*T1^16*T2^9 - 32*T1^2*T2^10 + 20*T1^3*T2^10 + 46*T1^4*T2^10 - 
     77*T1^5*T2^10 - 115*T1^6*T2^10 - 27*T1^7*T2^10 + 157*T1^8*T2^10 + 
     17*T1^9*T2^10 - 83*T1^10*T2^10 - 27*T1^11*T2^10 + 29*T1^12*T2^10 + 
     67*T1^13*T2^10 - 2*T1^14*T2^10 - 28*T1^15*T2^10 + 16*T1^16*T2^10 + 
     27*T1^3*T2^11 - 36*T1^4*T2^11 - 16*T1^5*T2^11 + 49*T1^6*T2^11 + 
     127*T1^7*T2^11 - 145*T1^8*T2^11 - 27*T1^9*T2^11 - 27*T1^10*T2^11 + 
     125*T1^11*T2^11 - 62*T1^12*T2^11 - 50*T1^13*T2^11 - 16*T1^14*T2^11 + 
     36*T1^15*T2^11 - 18*T1^16*T2^11 - 18*T1^4*T2^12 + 36*T1^5*T2^12 + 
     14*T1^6*T2^12 - 109*T1^7*T2^12 + 65*T1^8*T2^12 + 46*T1^9*T2^12 + 
     29*T1^10*T2^12 - 62*T1^11*T2^12 - 7*T1^12*T2^12 + 71*T1^13*T2^12 + 
     14*T1^14*T2^12 - 36*T1^15*T2^12 + 18*T1^16*T2^12 + 9*T1^5*T2^13 - 
     36*T1^6*T2^13 + 33*T1^7*T2^13 + 43*T1^8*T2^13 - 122*T1^9*T2^13 + 
     67*T1^10*T2^13 - 50*T1^11*T2^13 + 71*T1^12*T2^13 - 71*T1^13*T2^13 - 
     23*T1^14*T2^13 + 40*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^7*T2^14 - 
     46*T1^8*T2^14 + 57*T1^9*T2^14 - 2*T1^10*T2^14 - 16*T1^11*T2^14 + 
     14*T1^12*T2^14 - 23*T1^13*T2^14 + 66*T1^14*T2^14 - 48*T1^15*T2^14 + 
     16*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 - 28*T1^10*T2^15 + 
     36*T1^11*T2^15 - 36*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     16*T1^10*T2^16 - 18*T1^11*T2^16 + 18*T1^12*T2^16 - 18*T1^13*T2^16 + 
     16*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, NonAlternating, 42] -> 
  {1, -((T1 + T1^2 + T2 - 2*T1*T2 - 2*T1^2*T2 - 2*T1^3*T2 + T1^4*T2 + T2^2 - 
      2*T1*T2^2 + 2*T1^2*T2^2 + 2*T1^3*T2^2 - 2*T1^4*T2^2 + T1^5*T2^2 - 
      2*T1*T2^3 + 2*T1^2*T2^3 + 2*T1^4*T2^3 - 2*T1^5*T2^3 + T1*T2^4 - 
      2*T1^2*T2^4 + 2*T1^3*T2^4 + 2*T1^4*T2^4 - 2*T1^5*T2^4 + T1^6*T2^4 + 
      T1^2*T2^5 - 2*T1^3*T2^5 - 2*T1^4*T2^5 - 2*T1^5*T2^5 + T1^6*T2^5 + 
      T1^4*T2^6 + T1^5*T2^6)/(T1^4*T2^3*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 43] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 204*T1 - 406*T1^2 + 507*T1^3 - 406*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 852*T1*T2 + 1205*T1^2*T2 - 903*T1^3*T2 - 3*T1^4*T2 + 
      605*T1^5*T2 - 612*T1^6*T2 + 164*T1^7*T2 - 406*T2^2 + 1205*T1*T2^2 - 
      199*T1^2*T2^2 - 1855*T1^3*T2^2 + 3675*T1^4*T2^2 - 3055*T1^5*T2^2 + 
      1241*T1^6*T2^2 + 405*T1^7*T2^2 - 246*T1^8*T2^2 + 507*T2^3 - 
      903*T1*T2^3 - 1855*T1^2*T2^3 + 4008*T1^3*T2^3 - 4049*T1^4*T2^3 + 
      451*T1^5*T2^3 + 2058*T1^6*T2^3 - 2455*T1^7*T2^3 + 197*T1^8*T2^3 + 
      207*T1^9*T2^3 - 406*T2^4 - 3*T1*T2^4 + 3675*T1^2*T2^4 - 
      4049*T1^3*T2^4 + 1794*T1^4*T2^4 + 2702*T1^5*T2^4 - 2826*T1^6*T2^4 + 
      951*T1^7*T2^4 + 1875*T1^8*T2^4 - 603*T1^9*T2^4 - 86*T1^10*T2^4 + 
      204*T2^5 + 605*T1*T2^5 - 3055*T1^2*T2^5 + 451*T1^3*T2^5 + 
      2702*T1^4*T2^5 - 4726*T1^5*T2^5 + 974*T1^6*T2^5 + 1902*T1^7*T2^5 - 
      3049*T1^8*T2^5 - 55*T1^9*T2^5 + 405*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 612*T1*T2^6 + 1241*T1^2*T2^6 + 2058*T1^3*T2^6 - 
      2826*T1^4*T2^6 + 974*T1^5*T2^6 + 3756*T1^6*T2^6 - 4066*T1^7*T2^6 + 
      2054*T1^8*T2^6 + 1458*T1^9*T2^6 - 679*T1^10*T2^6 - 52*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 405*T1^2*T2^7 - 2455*T1^3*T2^7 + 
      951*T1^4*T2^7 + 1902*T1^5*T2^7 - 4066*T1^6*T2^7 + 1634*T1^7*T2^7 + 
      1102*T1^8*T2^7 - 2549*T1^9*T2^7 + 545*T1^10*T2^7 + 205*T1^11*T2^7 - 
      36*T1^12*T2^7 - 246*T1^2*T2^8 + 197*T1^3*T2^8 + 1875*T1^4*T2^8 - 
      3049*T1^5*T2^8 + 2054*T1^6*T2^8 + 1102*T1^7*T2^8 - 2566*T1^8*T2^8 + 
      1951*T1^9*T2^8 + 75*T1^10*T2^8 - 403*T1^11*T2^8 + 74*T1^12*T2^8 + 
      207*T1^3*T2^9 - 603*T1^4*T2^9 - 55*T1^5*T2^9 + 1458*T1^6*T2^9 - 
      2549*T1^7*T2^9 + 1951*T1^8*T2^9 - 492*T1^9*T2^9 - 655*T1^10*T2^9 + 
      497*T1^11*T2^9 - 93*T1^12*T2^9 - 86*T1^4*T2^10 + 405*T1^5*T2^10 - 
      679*T1^6*T2^10 + 545*T1^7*T2^10 + 75*T1^8*T2^10 - 655*T1^9*T2^10 + 
      761*T1^10*T2^10 - 395*T1^11*T2^10 + 74*T1^12*T2^10 + 4*T1^5*T2^11 - 
      52*T1^6*T2^11 + 205*T1^7*T2^11 - 403*T1^8*T2^11 + 497*T1^9*T2^11 - 
      395*T1^10*T2^11 + 188*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 74*T1^8*T2^12 - 93*T1^9*T2^12 + 74*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 44] -> 
  {-((1 - 4*T + 8*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 40*T1^2 + 65*T1^3 - 75*T1^4 + 65*T1^5 - 40*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 96*T1^2*T2 - 132*T1^3*T2 + 
      92*T1^4*T2 - 20*T1^5*T2 - 48*T1^6*T2 + 48*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 40*T2^2 + 96*T1*T2^2 - 88*T1^2*T2^2 + 103*T1^3*T2^2 + 
      46*T1^4*T2^2 - 138*T1^5*T2^2 + 158*T1^6*T2^2 - 41*T1^7*T2^2 + 
      24*T1^8*T2^2 + 32*T1^9*T2^2 - 24*T1^10*T2^2 + 65*T2^3 - 132*T1*T2^3 + 
      103*T1^2*T2^3 - 171*T1^3*T2^3 - 49*T1^4*T2^3 + 54*T1^5*T2^3 - 
      23*T1^6*T2^3 - 118*T1^7*T2^3 - 9*T1^8*T2^3 - 49*T1^9*T2^3 - 
      8*T1^10*T2^3 + 26*T1^11*T2^3 - 75*T2^4 + 92*T1*T2^4 + 46*T1^2*T2^4 - 
      49*T1^3*T2^4 + 477*T1^4*T2^4 - 412*T1^5*T2^4 + 377*T1^6*T2^4 - 
      224*T1^7*T2^4 + 381*T1^8*T2^4 - 101*T1^9*T2^4 + 110*T1^10*T2^4 - 
      44*T1^11*T2^4 - 15*T1^12*T2^4 + 65*T2^5 - 20*T1*T2^5 - 138*T1^2*T2^5 + 
      54*T1^3*T2^5 - 412*T1^4*T2^5 + 73*T1^5*T2^5 - 58*T1^6*T2^5 + 
      30*T1^7*T2^5 - 253*T1^8*T2^5 - 115*T1^9*T2^5 - 21*T1^10*T2^5 - 
      42*T1^11*T2^5 + 60*T1^12*T2^5 - 40*T2^6 - 48*T1*T2^6 + 158*T1^2*T2^6 - 
      23*T1^3*T2^6 + 377*T1^4*T2^6 - 58*T1^5*T2^6 + 296*T1^6*T2^6 - 
      398*T1^7*T2^6 + 440*T1^8*T2^6 + 70*T1^9*T2^6 + 73*T1^10*T2^6 + 
      57*T1^11*T2^6 - 50*T1^12*T2^6 - 32*T1^13*T2^6 + 8*T1^14*T2^6 + 
      20*T2^7 + 48*T1*T2^7 - 41*T1^2*T2^7 - 118*T1^3*T2^7 - 224*T1^4*T2^7 + 
      30*T1^5*T2^7 - 398*T1^6*T2^7 + 455*T1^7*T2^7 - 233*T1^8*T2^7 - 
      215*T1^9*T2^7 + 22*T1^10*T2^7 - 85*T1^11*T2^7 + 19*T1^12*T2^7 + 
      63*T1^13*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 24*T1^2*T2^8 - 
      9*T1^3*T2^8 + 381*T1^4*T2^8 - 253*T1^5*T2^8 + 440*T1^6*T2^8 - 
      233*T1^7*T2^8 - 252*T1^8*T2^8 + 469*T1^9*T2^8 - 202*T1^10*T2^8 + 
      121*T1^11*T2^8 - 51*T1^12*T2^8 - 31*T1^13*T2^8 - 40*T1^14*T2^8 + 
      20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 
      49*T1^3*T2^9 - 101*T1^4*T2^9 - 115*T1^5*T2^9 + 70*T1^6*T2^9 - 
      215*T1^7*T2^9 + 469*T1^8*T2^9 - 219*T1^9*T2^9 - 32*T1^10*T2^9 + 
      62*T1^11*T2^9 + 24*T1^12*T2^9 + 36*T1^13*T2^9 + 55*T1^14*T2^9 - 
      16*T1^15*T2^9 - 12*T1^16*T2^9 - 24*T1^2*T2^10 - 8*T1^3*T2^10 + 
      110*T1^4*T2^10 - 21*T1^5*T2^10 + 73*T1^6*T2^10 + 22*T1^7*T2^10 - 
      202*T1^8*T2^10 - 32*T1^9*T2^10 - 58*T1^10*T2^10 + 150*T1^11*T2^10 - 
      231*T1^12*T2^10 + 59*T1^13*T2^10 - 98*T1^14*T2^10 + 8*T1^15*T2^10 + 
      24*T1^16*T2^10 + 26*T1^3*T2^11 - 44*T1^4*T2^11 - 42*T1^5*T2^11 + 
      57*T1^6*T2^11 - 85*T1^7*T2^11 + 121*T1^8*T2^11 + 62*T1^9*T2^11 + 
      150*T1^10*T2^11 - 205*T1^11*T2^11 + 212*T1^12*T2^11 - 18*T1^13*T2^11 + 
      54*T1^14*T2^11 + 36*T1^15*T2^11 - 39*T1^16*T2^11 - 15*T1^4*T2^12 + 
      60*T1^5*T2^12 - 50*T1^6*T2^12 + 19*T1^7*T2^12 - 51*T1^8*T2^12 + 
      24*T1^9*T2^12 - 231*T1^10*T2^12 + 212*T1^11*T2^12 - 147*T1^12*T2^12 - 
      33*T1^13*T2^12 + 14*T1^14*T2^12 - 76*T1^15*T2^12 + 45*T1^16*T2^12 - 
      32*T1^6*T2^13 + 63*T1^7*T2^13 - 31*T1^8*T2^13 + 36*T1^9*T2^13 + 
      59*T1^10*T2^13 - 18*T1^11*T2^13 - 33*T1^12*T2^13 + 131*T1^13*T2^13 - 
      89*T1^14*T2^13 + 92*T1^15*T2^13 - 39*T1^16*T2^13 + 8*T1^6*T2^14 - 
      40*T1^8*T2^14 + 55*T1^9*T2^14 - 98*T1^10*T2^14 + 54*T1^11*T2^14 + 
      14*T1^12*T2^14 - 89*T1^13*T2^14 + 72*T1^14*T2^14 - 64*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 16*T1^9*T2^15 + 
      8*T1^10*T2^15 + 36*T1^11*T2^15 - 76*T1^12*T2^15 + 92*T1^13*T2^15 - 
      64*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 24*T1^10*T2^16 - 39*T1^11*T2^16 + 45*T1^12*T2^16 - 
      39*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 45] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
     T2^2 + 2*T1*T2^2 - 21*T1^2*T2^2 + 55*T1^3*T2^2 - 85*T1^4*T2^2 + 
     55*T1^5*T2^2 - 21*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
     55*T1^2*T2^3 - 124*T1^3*T2^3 + 154*T1^4*T2^3 - 26*T1^5*T2^3 - 
     28*T1^6*T2^3 + 31*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 85*T1^2*T2^4 + 
     154*T1^3*T2^4 - 163*T1^4*T2^4 - 63*T1^5*T2^4 + 89*T1^6*T2^4 - 
     62*T1^7*T2^4 - 13*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 55*T1^2*T2^5 - 
     26*T1^3*T2^5 - 63*T1^4*T2^5 + 318*T1^5*T2^5 - 204*T1^6*T2^5 + 
     45*T1^7*T2^5 + 82*T1^8*T2^5 - 17*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 
     21*T1^2*T2^6 - 28*T1^3*T2^6 + 89*T1^4*T2^6 - 204*T1^5*T2^6 - 
     24*T1^6*T2^6 + 204*T1^7*T2^6 - 199*T1^8*T2^6 + 20*T1^9*T2^6 + 
     11*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 31*T1^3*T2^7 - 
     62*T1^4*T2^7 + 45*T1^5*T2^7 + 204*T1^6*T2^7 - 318*T1^7*T2^7 + 
     153*T1^8*T2^7 + 46*T1^9*T2^7 - 41*T1^10*T2^7 + 2*T1^11*T2^7 + 
     T1^2*T2^8 - 13*T1^4*T2^8 + 82*T1^5*T2^8 - 199*T1^6*T2^8 + 
     153*T1^7*T2^8 + 53*T1^8*T2^8 - 134*T1^9*T2^8 + 59*T1^10*T2^8 + 
     T1^12*T2^8 - 2*T1^3*T2^9 - 17*T1^5*T2^9 + 20*T1^6*T2^9 + 46*T1^7*T2^9 - 
     134*T1^8*T2^9 + 116*T1^9*T2^9 - 41*T1^10*T2^9 - 2*T1^12*T2^9 + 
     T1^4*T2^10 + 2*T1^5*T2^10 + 11*T1^6*T2^10 - 41*T1^7*T2^10 + 
     59*T1^8*T2^10 - 41*T1^9*T2^10 + 11*T1^10*T2^10 + 2*T1^11*T2^10 + 
     T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 - 
     2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 46] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-33 + 132*T1 - 297*T1^2 + 379*T1^3 - 297*T1^4 + 132*T1^5 - 33*T1^6 + 
     132*T2 - 428*T1*T2 + 789*T1^2*T2 - 617*T1^3*T2 + 39*T1^4*T2 + 
     373*T1^5*T2 - 268*T1^6*T2 + 100*T1^7*T2 - 297*T2^2 + 789*T1*T2^2 - 
     1264*T1^2*T2^2 + 514*T1^3*T2^2 + 426*T1^4*T2^2 - 566*T1^5*T2^2 - 
     112*T1^6*T2^2 + 213*T1^7*T2^2 - 153*T1^8*T2^2 + 379*T2^3 - 617*T1*T2^3 + 
     514*T1^2*T2^3 + 1262*T1^3*T2^3 - 1752*T1^4*T2^3 + 564*T1^5*T2^3 + 
     968*T1^6*T2^3 - 530*T1^7*T2^3 + 199*T1^8*T2^3 + 103*T1^9*T2^3 - 
     297*T2^4 + 39*T1*T2^4 + 426*T1^2*T2^4 - 1752*T1^3*T2^4 - 175*T1^4*T2^4 + 
     2795*T1^5*T2^4 - 3391*T1^6*T2^4 + 824*T1^7*T2^4 + 74*T1^8*T2^4 - 
     377*T1^9*T2^4 - 9*T1^10*T2^4 + 132*T2^5 + 373*T1*T2^5 - 566*T1^2*T2^5 + 
     564*T1^3*T2^5 + 2795*T1^4*T2^5 - 4258*T1^5*T2^5 + 2284*T1^6*T2^5 + 
     1391*T1^7*T2^5 - 1232*T1^8*T2^5 + 622*T1^9*T2^5 + 149*T1^10*T2^5 - 
     28*T1^11*T2^5 - 33*T2^6 - 268*T1*T2^6 - 112*T1^2*T2^6 + 968*T1^3*T2^6 - 
     3391*T1^4*T2^6 + 2284*T1^5*T2^6 + 1188*T1^6*T2^6 - 3532*T1^7*T2^6 + 
     1521*T1^8*T2^6 - 160*T1^9*T2^6 - 432*T1^10*T2^6 + 52*T1^11*T2^6 + 
     15*T1^12*T2^6 + 100*T1*T2^7 + 213*T1^2*T2^7 - 530*T1^3*T2^7 + 
     824*T1^4*T2^7 + 1391*T1^5*T2^7 - 3532*T1^6*T2^7 + 3010*T1^7*T2^7 - 
     13*T1^8*T2^7 - 972*T1^9*T2^7 + 658*T1^10*T2^7 - 11*T1^11*T2^7 - 
     60*T1^12*T2^7 - 153*T1^2*T2^8 + 199*T1^3*T2^8 + 74*T1^4*T2^8 - 
     1232*T1^5*T2^8 + 1521*T1^6*T2^8 - 13*T1^7*T2^8 - 1695*T1^8*T2^8 + 
     1344*T1^9*T2^8 - 278*T1^10*T2^8 - 217*T1^11*T2^8 + 135*T1^12*T2^8 + 
     103*T1^3*T2^9 - 377*T1^4*T2^9 + 622*T1^5*T2^9 - 160*T1^6*T2^9 - 
     972*T1^7*T2^9 + 1344*T1^8*T2^9 - 454*T1^9*T2^9 - 422*T1^10*T2^9 + 
     439*T1^11*T2^9 - 173*T1^12*T2^9 - 9*T1^4*T2^10 + 149*T1^5*T2^10 - 
     432*T1^6*T2^10 + 658*T1^7*T2^10 - 278*T1^8*T2^10 - 422*T1^9*T2^10 + 
     720*T1^10*T2^10 - 427*T1^11*T2^10 + 135*T1^12*T2^10 - 28*T1^5*T2^11 + 
     52*T1^6*T2^11 - 11*T1^7*T2^11 - 217*T1^8*T2^11 + 439*T1^9*T2^11 - 
     427*T1^10*T2^11 + 212*T1^11*T2^11 - 60*T1^12*T2^11 + 15*T1^6*T2^12 - 
     60*T1^7*T2^12 + 135*T1^8*T2^12 - 173*T1^9*T2^12 + 135*T1^10*T2^12 - 
     60*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 47] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 9*T^4 - 9*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 48*T1^2 + 54*T1^3 - 54*T1^4 + 54*T1^5 - 48*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 112*T1^2*T2 - 56*T1^3*T2 + 36*T1^4*T2 - 
     36*T1^5*T2 + 12*T1^6*T2 + 64*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     48*T2^2 + 112*T1*T2^2 - 94*T1^2*T2^2 - 87*T1^3*T2^2 + 47*T1^4*T2^2 - 
     18*T1^5*T2^2 + 63*T1^6*T2^2 - 167*T1^7*T2^2 + 18*T1^8*T2^2 + 
     48*T1^9*T2^2 - 32*T1^10*T2^2 + 54*T2^3 - 56*T1*T2^3 - 87*T1^2*T2^3 + 
     321*T1^3*T2^3 - 55*T1^4*T2^3 + 22*T1^5*T2^3 - 95*T1^6*T2^3 + 
     138*T1^7*T2^3 + 207*T1^8*T2^3 - 143*T1^9*T2^3 + 20*T1^10*T2^3 + 
     27*T1^11*T2^3 - 54*T2^4 + 36*T1*T2^4 + 47*T1^2*T2^4 - 55*T1^3*T2^4 - 
     473*T1^4*T2^4 + 370*T1^5*T2^4 - 261*T1^6*T2^4 + 262*T1^7*T2^4 - 
     545*T1^8*T2^4 + 125*T1^9*T2^4 + 47*T1^10*T2^4 - 36*T1^11*T2^4 - 
     18*T1^12*T2^4 + 54*T2^5 - 36*T1*T2^5 - 18*T1^2*T2^5 + 22*T1^3*T2^5 + 
     370*T1^4*T2^5 - 37*T1^5*T2^5 - 25*T1^6*T2^5 - 25*T1^7*T2^5 + 
     233*T1^8*T2^5 + 181*T1^9*T2^5 - 77*T1^10*T2^5 - 18*T1^11*T2^5 + 
     36*T1^12*T2^5 + 9*T1^13*T2^5 - 48*T2^6 + 12*T1*T2^6 + 63*T1^2*T2^6 - 
     95*T1^3*T2^6 - 261*T1^4*T2^6 - 25*T1^5*T2^6 - 41*T1^6*T2^6 + 
     125*T1^7*T2^6 - 281*T1^8*T2^6 - 25*T1^9*T2^6 - 117*T1^10*T2^6 + 
     49*T1^11*T2^6 + 15*T1^12*T2^6 - 36*T1^13*T2^6 + 24*T2^7 + 64*T1*T2^7 - 
     167*T1^2*T2^7 + 138*T1^3*T2^7 + 262*T1^4*T2^7 - 25*T1^5*T2^7 + 
     125*T1^6*T2^7 - 205*T1^7*T2^7 + 229*T1^8*T2^7 + 70*T1^9*T2^7 - 
     25*T1^10*T2^7 + 127*T1^11*T2^7 - 107*T1^12*T2^7 + 33*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 18*T1^2*T2^8 + 
     207*T1^3*T2^8 - 545*T1^4*T2^8 + 233*T1^5*T2^8 - 281*T1^6*T2^8 + 
     229*T1^7*T2^8 - 249*T1^9*T2^8 + 157*T1^10*T2^8 - 145*T1^11*T2^8 + 
     63*T1^12*T2^8 + 41*T1^13*T2^8 - 46*T1^14*T2^8 + 8*T1^15*T2^8 + 
     2*T1^16*T2^8 + 20*T1*T2^9 + 48*T1^2*T2^9 - 143*T1^3*T2^9 + 
     125*T1^4*T2^9 + 181*T1^5*T2^9 - 25*T1^6*T2^9 + 70*T1^7*T2^9 - 
     249*T1^8*T2^9 + 185*T1^9*T2^9 + 15*T1^10*T2^9 - 25*T1^11*T2^9 + 
     46*T1^12*T2^9 - 120*T1^13*T2^9 + 57*T1^14*T2^9 - 8*T1^16*T2^9 - 
     32*T1^2*T2^10 + 20*T1^3*T2^10 + 47*T1^4*T2^10 - 77*T1^5*T2^10 - 
     117*T1^6*T2^10 - 25*T1^7*T2^10 + 157*T1^8*T2^10 + 15*T1^9*T2^10 - 
     83*T1^10*T2^10 - 25*T1^11*T2^10 + 27*T1^12*T2^10 + 67*T1^13*T2^10 - 
     T1^14*T2^10 - 28*T1^15*T2^10 + 16*T1^16*T2^10 + 27*T1^3*T2^11 - 
     36*T1^4*T2^11 - 18*T1^5*T2^11 + 49*T1^6*T2^11 + 127*T1^7*T2^11 - 
     145*T1^8*T2^11 - 25*T1^9*T2^11 - 25*T1^10*T2^11 + 125*T1^11*T2^11 - 
     62*T1^12*T2^11 - 50*T1^13*T2^11 - 18*T1^14*T2^11 + 36*T1^15*T2^11 - 
     18*T1^16*T2^11 - 18*T1^4*T2^12 + 36*T1^5*T2^12 + 15*T1^6*T2^12 - 
     107*T1^7*T2^12 + 63*T1^8*T2^12 + 46*T1^9*T2^12 + 27*T1^10*T2^12 - 
     62*T1^11*T2^12 - 9*T1^12*T2^12 + 73*T1^13*T2^12 + 15*T1^14*T2^12 - 
     36*T1^15*T2^12 + 18*T1^16*T2^12 + 9*T1^5*T2^13 - 36*T1^6*T2^13 + 
     33*T1^7*T2^13 + 41*T1^8*T2^13 - 120*T1^9*T2^13 + 67*T1^10*T2^13 - 
     50*T1^11*T2^13 + 73*T1^12*T2^13 - 73*T1^13*T2^13 - 23*T1^14*T2^13 + 
     40*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^7*T2^14 - 46*T1^8*T2^14 + 
     57*T1^9*T2^14 - T1^10*T2^14 - 18*T1^11*T2^14 + 15*T1^12*T2^14 - 
     23*T1^13*T2^14 + 66*T1^14*T2^14 - 48*T1^15*T2^14 + 16*T1^16*T2^14 - 
     4*T1^7*T2^15 + 8*T1^8*T2^15 - 28*T1^10*T2^15 + 36*T1^11*T2^15 - 
     36*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 28*T1^15*T2^15 - 
     8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 16*T1^10*T2^16 - 
     18*T1^11*T2^16 + 18*T1^12*T2^16 - 18*T1^13*T2^16 + 16*T1^14*T2^16 - 
     8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 48] -> 
  {-((1 - 3*T + 6*T^2 - 9*T^3 + 6*T^4 - 3*T^5 + T^6)/T^3), 
   -((-3 + 9*T1 - 18*T1^2 + 27*T1^3 - 18*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 36*T1^2*T2 - 45*T1^3*T2 + 9*T1^5*T2 - 9*T1^6*T2 + 
      6*T1^7*T2 - 18*T2^2 + 36*T1*T2^2 - 55*T1^2*T2^2 + 56*T1^3*T2^2 + 
      37*T1^4*T2^2 - 16*T1^5*T2^2 + 5*T1^6*T2^2 - 6*T1^8*T2^2 + 27*T2^3 - 
      45*T1*T2^3 + 56*T1^2*T2^3 - 47*T1^3*T2^3 - 62*T1^4*T2^3 - 
      35*T1^5*T2^3 + 61*T1^6*T2^3 - 34*T1^7*T2^3 + 18*T1^8*T2^3 - 18*T2^4 + 
      37*T1^2*T2^4 - 62*T1^3*T2^4 + 104*T1^4*T2^4 + 86*T1^5*T2^4 - 
      100*T1^6*T2^4 - 8*T1^7*T2^4 + 19*T1^8*T2^4 - 18*T1^9*T2^4 + 
      6*T1^10*T2^4 + 9*T2^5 + 9*T1*T2^5 - 16*T1^2*T2^5 - 35*T1^3*T2^5 + 
      86*T1^4*T2^5 - 227*T1^5*T2^5 + 157*T1^6*T2^5 + 50*T1^7*T2^5 - 
      8*T1^8*T2^5 + 2*T1^9*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 
      5*T1^2*T2^6 + 61*T1^3*T2^6 - 100*T1^4*T2^6 + 157*T1^5*T2^6 - 
      108*T1^6*T2^6 - 113*T1^7*T2^6 - 28*T1^8*T2^6 + 7*T1^9*T2^6 + 
      5*T1^10*T2^6 + 9*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 34*T1^3*T2^7 - 
      8*T1^4*T2^7 + 50*T1^5*T2^7 - 113*T1^6*T2^7 + 271*T1^7*T2^7 + 
      14*T1^8*T2^7 + 19*T1^9*T2^7 - 16*T1^10*T2^7 - 9*T1^11*T2^7 - 
      9*T1^12*T2^7 - 6*T1^2*T2^8 + 18*T1^3*T2^8 + 19*T1^4*T2^8 - 
      8*T1^5*T2^8 - 28*T1^6*T2^8 + 14*T1^7*T2^8 - 232*T1^8*T2^8 + 
      46*T1^9*T2^8 + T1^10*T2^8 + 18*T1^12*T2^8 - 18*T1^4*T2^9 + 
      2*T1^5*T2^9 + 7*T1^6*T2^9 + 19*T1^7*T2^9 + 46*T1^8*T2^9 + 
      115*T1^9*T2^9 - 88*T1^10*T2^9 + 45*T1^11*T2^9 - 27*T1^12*T2^9 + 
      6*T1^4*T2^10 + 5*T1^6*T2^10 - 16*T1^7*T2^10 + T1^8*T2^10 - 
      88*T1^9*T2^10 + 65*T1^10*T2^10 - 36*T1^11*T2^10 + 18*T1^12*T2^10 - 
      6*T1^5*T2^11 + 9*T1^6*T2^11 - 9*T1^7*T2^11 + 45*T1^9*T2^11 - 
      36*T1^10*T2^11 + 21*T1^11*T2^11 - 9*T1^12*T2^11 + 3*T1^6*T2^12 - 
      9*T1^7*T2^12 + 18*T1^8*T2^12 - 27*T1^9*T2^12 + 18*T1^10*T2^12 - 
      9*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 49] -> {-(((-1 - T + T^2)*(-1 + T + T^2))/T^2), 
   -((-3 + 9*T1^2 - 3*T1^4 + 6*T1*T2 - 8*T1^2*T2 - 8*T1^3*T2 + 6*T1^4*T2 + 
      9*T2^2 - 8*T1*T2^2 - 21*T1^2*T2^2 + 21*T1^3*T2^2 + 3*T1^4*T2^2 - 
      8*T1^5*T2^2 + 3*T1^6*T2^2 - 8*T1*T2^3 + 21*T1^2*T2^3 - 12*T1^3*T2^3 - 
      12*T1^4*T2^3 + 21*T1^5*T2^3 - 8*T1^6*T2^3 - 3*T2^4 + 6*T1*T2^4 + 
      3*T1^2*T2^4 - 12*T1^3*T2^4 + 12*T1^4*T2^4 - 12*T1^5*T2^4 - 
      9*T1^6*T2^4 + 6*T1^7*T2^4 + T1^8*T2^4 - 8*T1^2*T2^5 + 21*T1^3*T2^5 - 
      12*T1^4*T2^5 - 12*T1^5*T2^5 + 21*T1^6*T2^5 - 8*T1^7*T2^5 + 
      3*T1^2*T2^6 - 8*T1^3*T2^6 - 9*T1^4*T2^6 + 21*T1^5*T2^6 + 15*T1^6*T2^6 - 
      8*T1^7*T2^6 - 3*T1^8*T2^6 + 6*T1^4*T2^7 - 8*T1^5*T2^7 - 8*T1^6*T2^7 + 
      6*T1^7*T2^7 + T1^4*T2^8 - 3*T1^6*T2^8 + T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 50] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-13 + 39*T1 - 57*T1^2 + 39*T1^3 - 13*T1^4 + 39*T2 - 102*T1*T2 + 
     126*T1^2*T2 - 54*T1^3*T2 - 6*T1^4*T2 + 15*T1^5*T2 - 57*T2^2 + 
     126*T1*T2^2 - 81*T1^2*T2^2 - 93*T1^3*T2^2 + 171*T1^4*T2^2 - 
     90*T1^5*T2^2 + 15*T1^6*T2^2 + 39*T2^3 - 54*T1*T2^3 - 93*T1^2*T2^3 + 
     264*T1^3*T2^3 - 258*T1^4*T2^3 + 15*T1^5*T2^3 + 54*T1^6*T2^3 - 
     33*T1^7*T2^3 - 13*T2^4 - 6*T1*T2^4 + 171*T1^2*T2^4 - 258*T1^3*T2^4 + 
     180*T1^4*T2^4 + 150*T1^5*T2^4 - 117*T1^6*T2^4 + 42*T1^7*T2^4 + 
     19*T1^8*T2^4 + 15*T1*T2^5 - 90*T1^2*T2^5 + 15*T1^3*T2^5 + 
     150*T1^4*T2^5 - 372*T1^5*T2^5 + 123*T1^6*T2^5 + 18*T1^7*T2^5 - 
     57*T1^8*T2^5 + 15*T1^2*T2^6 + 54*T1^3*T2^6 - 117*T1^4*T2^6 + 
     123*T1^5*T2^6 + 135*T1^6*T2^6 - 162*T1^7*T2^6 + 87*T1^8*T2^6 - 
     33*T1^3*T2^7 + 42*T1^4*T2^7 + 18*T1^5*T2^7 - 162*T1^6*T2^7 + 
     138*T1^7*T2^7 - 57*T1^8*T2^7 + 19*T1^4*T2^8 - 57*T1^5*T2^8 + 
     87*T1^6*T2^8 - 57*T1^7*T2^8 + 19*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 51] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 18*T1^2 + 21*T1^3 - 18*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 40*T1^2*T2 - 36*T1^3*T2 + 16*T1^4*T2 - 20*T1^6*T2 + 
      8*T1^7*T2 - 18*T2^2 + 40*T1*T2^2 + 14*T1^2*T2^2 - 38*T1^3*T2^2 + 
      74*T1^4*T2^2 - 74*T1^5*T2^2 + 74*T1^6*T2^2 - 8*T1^7*T2^2 - 
      6*T1^8*T2^2 + 21*T2^3 - 36*T1*T2^3 - 38*T1^2*T2^3 + 19*T1^3*T2^3 - 
      54*T1^4*T2^3 + 48*T1^5*T2^3 - 53*T1^6*T2^3 - 44*T1^7*T2^3 + 
      24*T1^8*T2^3 - 18*T2^4 + 16*T1*T2^4 + 74*T1^2*T2^4 - 54*T1^3*T2^4 + 
      179*T1^4*T2^4 - 181*T1^5*T2^4 + 131*T1^6*T2^4 + 58*T1^7*T2^4 - 
      6*T1^8*T2^4 - 24*T1^9*T2^4 + 6*T1^10*T2^4 + 12*T2^5 - 74*T1^2*T2^5 + 
      48*T1^3*T2^5 - 181*T1^4*T2^5 + 86*T1^5*T2^5 + 12*T1^6*T2^5 - 
      145*T1^7*T2^5 - 34*T1^8*T2^5 + 52*T1^9*T2^5 + 8*T1^10*T2^5 - 
      8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 74*T1^2*T2^6 - 53*T1^3*T2^6 + 
      131*T1^4*T2^6 + 12*T1^5*T2^6 - 72*T1^6*T2^6 + 92*T1^7*T2^6 + 
      79*T1^8*T2^6 + T1^9*T2^6 - 74*T1^10*T2^6 + 20*T1^11*T2^6 + 
      3*T1^12*T2^6 + 8*T1*T2^7 - 8*T1^2*T2^7 - 44*T1^3*T2^7 + 58*T1^4*T2^7 - 
      145*T1^5*T2^7 + 92*T1^6*T2^7 + 18*T1^7*T2^7 - 109*T1^8*T2^7 - 
      24*T1^9*T2^7 + 82*T1^10*T2^7 - 12*T1^12*T2^7 - 6*T1^2*T2^8 + 
      24*T1^3*T2^8 - 6*T1^4*T2^8 - 34*T1^5*T2^8 + 79*T1^6*T2^8 - 
      109*T1^7*T2^8 + 31*T1^8*T2^8 + 78*T1^9*T2^8 - 86*T1^10*T2^8 - 
      16*T1^11*T2^8 + 18*T1^12*T2^8 - 24*T1^4*T2^9 + 52*T1^5*T2^9 + 
      T1^6*T2^9 - 24*T1^7*T2^9 + 78*T1^8*T2^9 - 71*T1^9*T2^9 + 
      46*T1^10*T2^9 + 36*T1^11*T2^9 - 21*T1^12*T2^9 + 6*T1^4*T2^10 + 
      8*T1^5*T2^10 - 74*T1^6*T2^10 + 82*T1^7*T2^10 - 86*T1^8*T2^10 + 
      46*T1^9*T2^10 - 14*T1^10*T2^10 - 40*T1^11*T2^10 + 18*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 16*T1^8*T2^11 + 36*T1^9*T2^11 - 
      40*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 3*T1^6*T2^12 - 
      12*T1^7*T2^12 + 18*T1^8*T2^12 - 21*T1^9*T2^12 + 18*T1^10*T2^12 - 
      12*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 52] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 227*T1^2*T2 - 154*T1^3*T2 + 32*T1^4*T2 + 107*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 227*T1*T2^2 - 155*T1^2*T2^2 - 
     407*T1^3*T2^2 + 661*T1^4*T2^2 - 715*T1^5*T2^2 + 209*T1^6*T2^2 + 
     59*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 154*T1*T2^3 - 407*T1^2*T2^3 + 
     1393*T1^3*T2^3 - 1064*T1^4*T2^3 + 520*T1^5*T2^3 + 631*T1^6*T2^3 - 
     533*T1^7*T2^3 + 68*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 32*T1*T2^4 + 
     661*T1^2*T2^4 - 1064*T1^3*T2^4 - 509*T1^4*T2^4 + 1301*T1^5*T2^4 - 
     2025*T1^6*T2^4 + 636*T1^7*T2^4 + 221*T1^8*T2^4 - 100*T1^9*T2^4 + 
     24*T2^5 + 107*T1*T2^5 - 715*T1^2*T2^5 + 520*T1^3*T2^5 + 1301*T1^4*T2^5 - 
     1378*T1^5*T2^5 + 1170*T1^6*T2^5 + 657*T1^7*T2^5 - 832*T1^8*T2^5 + 
     139*T1^9*T2^5 + 35*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     209*T1^2*T2^6 + 631*T1^3*T2^6 - 2025*T1^4*T2^6 + 1170*T1^5*T2^6 - 
     120*T1^6*T2^6 - 1306*T1^7*T2^6 + 707*T1^8*T2^6 + 193*T1^9*T2^6 - 
     179*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     59*T1^2*T2^7 - 533*T1^3*T2^7 + 636*T1^4*T2^7 + 657*T1^5*T2^7 - 
     1306*T1^6*T2^7 + 1242*T1^7*T2^7 + 13*T1^8*T2^7 - 716*T1^9*T2^7 + 
     321*T1^10*T2^7 - 13*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     68*T1^3*T2^8 + 221*T1^4*T2^8 - 832*T1^5*T2^8 + 707*T1^6*T2^8 + 
     13*T1^7*T2^8 - 809*T1^8*T2^8 + 868*T1^9*T2^8 - 219*T1^10*T2^8 - 
     64*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 100*T1^4*T2^9 + 
     139*T1^5*T2^9 + 193*T1^6*T2^9 - 716*T1^7*T2^9 + 868*T1^8*T2^9 - 
     569*T1^9*T2^9 + 13*T1^10*T2^9 + 122*T1^11*T2^9 - 34*T1^12*T2^9 + 
     35*T1^5*T2^10 - 179*T1^6*T2^10 + 321*T1^7*T2^10 - 219*T1^8*T2^10 + 
     13*T1^9*T2^10 + 185*T1^10*T2^10 - 133*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 13*T1^7*T2^11 - 64*T1^8*T2^11 + 
     122*T1^9*T2^11 - 133*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 53] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 24*T1^2 + 33*T1^3 - 24*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 64*T1^2*T2 - 68*T1^3*T2 + 8*T1^4*T2 + 16*T1^5*T2 - 
      20*T1^6*T2 + 8*T1^7*T2 - 24*T2^2 + 64*T1*T2^2 - 66*T1^2*T2^2 + 
      19*T1^3*T2^2 + 124*T1^4*T2^2 - 93*T1^5*T2^2 + 46*T1^6*T2^2 - 
      8*T1^8*T2^2 + 33*T2^3 - 68*T1*T2^3 + 19*T1^2*T2^3 + 73*T1^3*T2^3 - 
      205*T1^4*T2^3 + 7*T1^5*T2^3 + 85*T1^6*T2^3 - 85*T1^7*T2^3 + 
      32*T1^8*T2^3 - 24*T2^4 + 8*T1*T2^4 + 124*T1^2*T2^4 - 205*T1^3*T2^4 + 
      166*T1^4*T2^4 + 194*T1^5*T2^4 - 226*T1^6*T2^4 + 59*T1^7*T2^4 + 
      28*T1^8*T2^4 - 32*T1^9*T2^4 + 8*T1^10*T2^4 + 12*T2^5 + 16*T1*T2^5 - 
      93*T1^2*T2^5 + 7*T1^3*T2^5 + 194*T1^4*T2^5 - 408*T1^5*T2^5 + 
      212*T1^6*T2^5 + 130*T1^7*T2^5 - 101*T1^8*T2^5 + 43*T1^9*T2^5 - 
      8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 46*T1^2*T2^6 + 85*T1^3*T2^6 - 
      226*T1^4*T2^6 + 212*T1^5*T2^6 - 12*T1^6*T2^6 - 260*T1^7*T2^6 + 
      14*T1^8*T2^6 + 19*T1^9*T2^6 - 34*T1^10*T2^6 + 20*T1^11*T2^6 + 
      3*T1^12*T2^6 + 8*T1*T2^7 - 85*T1^3*T2^7 + 59*T1^4*T2^7 + 
      130*T1^5*T2^7 - 260*T1^6*T2^7 + 360*T1^7*T2^7 + 66*T1^8*T2^7 - 
      49*T1^9*T2^7 + 51*T1^10*T2^7 - 16*T1^11*T2^7 - 12*T1^12*T2^7 - 
      8*T1^2*T2^8 + 32*T1^3*T2^8 + 28*T1^4*T2^8 - 101*T1^5*T2^8 + 
      14*T1^6*T2^8 + 66*T1^7*T2^8 - 378*T1^8*T2^8 + 163*T1^9*T2^8 - 
      68*T1^10*T2^8 - 8*T1^11*T2^8 + 24*T1^12*T2^8 - 32*T1^4*T2^9 + 
      43*T1^5*T2^9 + 19*T1^6*T2^9 - 49*T1^7*T2^9 + 163*T1^8*T2^9 + 
      31*T1^9*T2^9 - 61*T1^10*T2^9 + 68*T1^11*T2^9 - 33*T1^12*T2^9 + 
      8*T1^4*T2^10 - 34*T1^6*T2^10 + 51*T1^7*T2^10 - 68*T1^8*T2^10 - 
      61*T1^9*T2^10 + 78*T1^10*T2^10 - 64*T1^11*T2^10 + 24*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 16*T1^7*T2^11 - 8*T1^8*T2^11 + 
      68*T1^9*T2^11 - 64*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 
      3*T1^6*T2^12 - 12*T1^7*T2^12 + 24*T1^8*T2^12 - 33*T1^9*T2^12 + 
      24*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 54] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 40*T1^2 + 52*T1^3 - 40*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 88*T1^3*T2 + 4*T1^4*T2 + 56*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 40*T2^2 + 112*T1*T2^2 - 240*T1^2*T2^2 + 
     151*T1^3*T2^2 - 20*T1^4*T2^2 - 29*T1^5*T2^2 - 60*T1^6*T2^2 + 
     32*T1^7*T2^2 - 20*T1^8*T2^2 + 52*T2^3 - 88*T1*T2^3 + 151*T1^2*T2^3 + 
     171*T1^3*T2^3 - 259*T1^4*T2^3 + 115*T1^5*T2^3 + 157*T1^6*T2^3 - 
     39*T1^7*T2^3 + 28*T1^8*T2^3 + 13*T1^9*T2^3 - 40*T2^4 + 4*T1*T2^4 - 
     20*T1^2*T2^4 - 259*T1^3*T2^4 - 189*T1^4*T2^4 + 647*T1^5*T2^4 - 
     765*T1^6*T2^4 + 157*T1^7*T2^4 - 36*T1^8*T2^4 - 52*T1^9*T2^4 + 16*T2^5 + 
     56*T1*T2^5 - 29*T1^2*T2^5 + 115*T1^3*T2^5 + 647*T1^4*T2^5 - 
     884*T1^5*T2^5 + 526*T1^6*T2^5 + 307*T1^7*T2^5 - 175*T1^8*T2^5 + 
     121*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 - 
     60*T1^2*T2^6 + 157*T1^3*T2^6 - 765*T1^4*T2^6 + 526*T1^5*T2^6 + 
     132*T1^6*T2^6 - 722*T1^7*T2^6 + 263*T1^8*T2^6 - 81*T1^9*T2^6 - 
     56*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     32*T1^2*T2^7 - 39*T1^3*T2^7 + 157*T1^4*T2^7 + 307*T1^5*T2^7 - 
     722*T1^6*T2^7 + 688*T1^7*T2^7 - 33*T1^8*T2^7 - 133*T1^9*T2^7 + 
     111*T1^10*T2^7 - 8*T1^11*T2^7 - 8*T1^12*T2^7 - 20*T1^2*T2^8 + 
     28*T1^3*T2^8 - 36*T1^4*T2^8 - 175*T1^5*T2^8 + 263*T1^6*T2^8 - 
     33*T1^7*T2^8 - 313*T1^8*T2^8 + 241*T1^9*T2^8 - 52*T1^10*T2^8 - 
     28*T1^11*T2^8 + 20*T1^12*T2^8 + 13*T1^3*T2^9 - 52*T1^4*T2^9 + 
     121*T1^5*T2^9 - 81*T1^6*T2^9 - 133*T1^7*T2^9 + 241*T1^8*T2^9 - 
     95*T1^9*T2^9 - 69*T1^10*T2^9 + 64*T1^11*T2^9 - 26*T1^12*T2^9 + 
     16*T1^5*T2^10 - 56*T1^6*T2^10 + 111*T1^7*T2^10 - 52*T1^8*T2^10 - 
     69*T1^9*T2^10 + 124*T1^10*T2^10 - 64*T1^11*T2^10 + 20*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 - 8*T1^7*T2^11 - 28*T1^8*T2^11 + 
     64*T1^9*T2^11 - 64*T1^10*T2^11 + 28*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 20*T1^8*T2^12 - 26*T1^9*T2^12 + 
     20*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 55] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 42*T1^2 + 57*T1^3 - 42*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 179*T1^2*T2 - 174*T1^3*T2 + 24*T1^4*T2 + 59*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 42*T2^2 + 179*T1*T2^2 - 161*T1^2*T2^2 - 
      134*T1^3*T2^2 + 601*T1^4*T2^2 - 498*T1^5*T2^2 + 203*T1^6*T2^2 + 
      11*T1^7*T2^2 - 14*T1^8*T2^2 + 57*T2^3 - 174*T1*T2^3 - 134*T1^2*T2^3 + 
      751*T1^3*T2^3 - 1231*T1^4*T2^3 + 401*T1^5*T2^3 + 211*T1^6*T2^3 - 
      344*T1^7*T2^3 + 84*T1^8*T2^3 - 42*T2^4 + 24*T1*T2^4 + 601*T1^2*T2^4 - 
      1231*T1^3*T2^4 + 1139*T1^4*T2^4 + 617*T1^5*T2^4 - 1097*T1^6*T2^4 + 
      669*T1^7*T2^4 + 17*T1^8*T2^4 - 84*T1^9*T2^4 + 14*T1^10*T2^4 + 18*T2^5 + 
      59*T1*T2^5 - 498*T1^2*T2^5 + 401*T1^3*T2^5 + 617*T1^4*T2^5 - 
      2360*T1^5*T2^5 + 1588*T1^6*T2^5 - 83*T1^7*T2^5 - 695*T1^8*T2^5 + 
      328*T1^9*T2^5 - 13*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      203*T1^2*T2^6 + 211*T1^3*T2^6 - 1097*T1^4*T2^6 + 1588*T1^5*T2^6 + 
      192*T1^6*T2^6 - 1672*T1^7*T2^6 + 1347*T1^8*T2^6 - 239*T1^9*T2^6 - 
      185*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      11*T1^2*T2^7 - 344*T1^3*T2^7 + 669*T1^4*T2^7 - 83*T1^5*T2^7 - 
      1672*T1^6*T2^7 + 2276*T1^7*T2^7 - 783*T1^8*T2^7 - 427*T1^9*T2^7 + 
      482*T1^10*T2^7 - 61*T1^11*T2^7 - 18*T1^12*T2^7 - 14*T1^2*T2^8 + 
      84*T1^3*T2^8 + 17*T1^4*T2^8 - 695*T1^5*T2^8 + 1347*T1^6*T2^8 - 
      783*T1^7*T2^8 - 889*T1^8*T2^8 + 1205*T1^9*T2^8 - 567*T1^10*T2^8 - 
      24*T1^11*T2^8 + 42*T1^12*T2^8 - 84*T1^4*T2^9 + 328*T1^5*T2^9 - 
      239*T1^6*T2^9 - 427*T1^7*T2^9 + 1205*T1^8*T2^9 - 779*T1^9*T2^9 + 
      118*T1^10*T2^9 + 174*T1^11*T2^9 - 57*T1^12*T2^9 + 14*T1^4*T2^10 - 
      13*T1^5*T2^10 - 185*T1^6*T2^10 + 482*T1^7*T2^10 - 567*T1^8*T2^10 + 
      118*T1^9*T2^10 + 179*T1^10*T2^10 - 181*T1^11*T2^10 + 42*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 61*T1^7*T2^11 - 24*T1^8*T2^11 + 
      174*T1^9*T2^11 - 181*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 42*T1^8*T2^12 - 57*T1^9*T2^12 + 
      42*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 56] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 32*T1^2 + 36*T1^3 - 32*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 80*T1^2*T2 - 48*T1^3*T2 + 20*T1^4*T2 + 32*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 32*T2^2 + 80*T1*T2^2 - 74*T1^2*T2^2 - 
     50*T1^3*T2^2 + 78*T1^4*T2^2 - 130*T1^5*T2^2 + 38*T1^6*T2^2 + 
     16*T1^7*T2^2 - 16*T1^8*T2^2 + 36*T2^3 - 48*T1*T2^3 - 50*T1^2*T2^3 + 
     233*T1^3*T2^3 - 136*T1^4*T2^3 + 84*T1^5*T2^3 + 119*T1^6*T2^3 - 
     106*T1^7*T2^3 + 28*T1^8*T2^3 + 9*T1^9*T2^3 - 32*T2^4 + 20*T1*T2^4 + 
     78*T1^2*T2^4 - 136*T1^3*T2^4 - 150*T1^4*T2^4 + 220*T1^5*T2^4 - 
     286*T1^6*T2^4 + 80*T1^7*T2^4 + 46*T1^8*T2^4 - 36*T1^9*T2^4 + 16*T2^5 + 
     32*T1*T2^5 - 130*T1^2*T2^5 + 84*T1^3*T2^5 + 220*T1^4*T2^5 - 
     158*T1^5*T2^5 + 14*T1^6*T2^5 + 156*T1^7*T2^5 - 144*T1^8*T2^5 + 
     22*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 
     38*T1^2*T2^6 + 119*T1^3*T2^6 - 286*T1^4*T2^6 + 14*T1^5*T2^6 + 
     240*T1^6*T2^6 - 202*T1^7*T2^6 + 82*T1^8*T2^6 + 65*T1^9*T2^6 - 
     42*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     16*T1^2*T2^7 - 106*T1^3*T2^7 + 80*T1^4*T2^7 + 156*T1^5*T2^7 - 
     202*T1^6*T2^7 - 30*T1^7*T2^7 + 92*T1^8*T2^7 - 148*T1^9*T2^7 + 
     46*T1^10*T2^7 - 8*T1^12*T2^7 - 16*T1^2*T2^8 + 28*T1^3*T2^8 + 
     46*T1^4*T2^8 - 144*T1^5*T2^8 + 82*T1^6*T2^8 + 92*T1^7*T2^8 - 
     54*T1^8*T2^8 + 72*T1^9*T2^8 + 14*T1^10*T2^8 - 28*T1^11*T2^8 + 
     16*T1^12*T2^8 + 9*T1^3*T2^9 - 36*T1^4*T2^9 + 22*T1^5*T2^9 + 
     65*T1^6*T2^9 - 148*T1^7*T2^9 + 72*T1^8*T2^9 - 49*T1^9*T2^9 - 
     34*T1^10*T2^9 + 40*T1^11*T2^9 - 18*T1^12*T2^9 + 16*T1^5*T2^10 - 
     42*T1^6*T2^10 + 46*T1^7*T2^10 + 14*T1^8*T2^10 - 34*T1^9*T2^10 + 
     70*T1^10*T2^10 - 48*T1^11*T2^10 + 16*T1^12*T2^10 - 4*T1^5*T2^11 + 
     8*T1^6*T2^11 - 28*T1^8*T2^11 + 40*T1^9*T2^11 - 48*T1^10*T2^11 + 
     28*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
     16*T1^8*T2^12 - 18*T1^9*T2^12 + 16*T1^10*T2^12 - 8*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 57] -> 
  {-((1 - 3*T + 2*T^2 + T^3 - 3*T^4 + T^5 + 2*T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 14*T1^2 - 7*T1^3 + 21*T1^4 - 7*T1^5 - 14*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 - 12*T1^2*T2 + 57*T1^3*T2 - 45*T1^4*T2 - 
      33*T1^5*T2 + 60*T1^6*T2 - 27*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 
      14*T2^2 - 12*T1*T2^2 + 123*T1^2*T2^2 - 91*T1^3*T2^2 - 32*T1^4*T2^2 + 
      137*T1^5*T2^2 - 52*T1^6*T2^2 - 75*T1^7*T2^2 + 127*T1^8*T2^2 - 
      24*T1^9*T2^2 - 10*T1^10*T2^2 - 7*T2^3 + 57*T1*T2^3 - 91*T1^2*T2^3 - 
      27*T1^3*T2^3 + 122*T1^4*T2^3 - 89*T1^5*T2^3 - 68*T1^6*T2^3 + 
      128*T1^7*T2^3 - 57*T1^8*T2^3 - 61*T1^9*T2^3 + 42*T1^10*T2^3 - 
      4*T1^11*T2^3 + 21*T2^4 - 45*T1*T2^4 - 32*T1^2*T2^4 + 122*T1^3*T2^4 - 
      99*T1^4*T2^4 - 47*T1^5*T2^4 + 131*T1^6*T2^4 - 65*T1^7*T2^4 - 
      75*T1^8*T2^4 + 104*T1^9*T2^4 - 38*T1^10*T2^4 - 15*T1^11*T2^4 + 
      9*T1^12*T2^4 - 7*T2^5 - 33*T1*T2^5 + 137*T1^2*T2^5 - 89*T1^3*T2^5 - 
      47*T1^4*T2^5 + 160*T1^5*T2^5 - 70*T1^6*T2^5 - 80*T1^7*T2^5 + 
      158*T1^8*T2^5 - 52*T1^9*T2^5 - 38*T1^10*T2^5 + 68*T1^11*T2^5 - 
      21*T1^12*T2^5 - 2*T1^13*T2^5 - 14*T2^6 + 60*T1*T2^6 - 52*T1^2*T2^6 - 
      68*T1^3*T2^6 + 131*T1^4*T2^6 - 70*T1^5*T2^6 - 72*T1^6*T2^6 + 
      112*T1^7*T2^6 - 48*T1^8*T2^6 - 58*T1^9*T2^6 + 71*T1^10*T2^6 - 
      44*T1^11*T2^6 - 4*T1^12*T2^6 + 12*T1^13*T2^6 - 2*T1^14*T2^6 + 21*T2^7 - 
      27*T1*T2^7 - 75*T1^2*T2^7 + 128*T1^3*T2^7 - 65*T1^4*T2^7 - 
      80*T1^5*T2^7 + 112*T1^6*T2^7 - 14*T1^7*T2^7 - 74*T1^8*T2^7 + 
      73*T1^9*T2^7 - 26*T1^10*T2^7 - 8*T1^11*T2^7 + 26*T1^12*T2^7 - 
      21*T1^13*T2^7 + 6*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 127*T1^2*T2^8 - 
      57*T1^3*T2^8 - 75*T1^4*T2^8 + 158*T1^5*T2^8 - 48*T1^6*T2^8 - 
      74*T1^7*T2^8 + 60*T1^8*T2^8 + 10*T1^9*T2^8 - 34*T1^10*T2^8 + 
      22*T1^11*T2^8 - 19*T1^12*T2^8 + 13*T1^13*T2^8 - 3*T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 24*T1^2*T2^9 - 61*T1^3*T2^9 + 
      104*T1^4*T2^9 - 52*T1^5*T2^9 - 58*T1^6*T2^9 + 73*T1^7*T2^9 + 
      10*T1^8*T2^9 - 50*T1^9*T2^9 + 34*T1^10*T2^9 - 4*T1^11*T2^9 + 
      5*T1^12*T2^9 + 2*T1^13*T2^9 - 7*T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 - 10*T1^2*T2^10 + 42*T1^3*T2^10 - 38*T1^4*T2^10 - 
      38*T1^5*T2^10 + 71*T1^6*T2^10 - 26*T1^7*T2^10 - 34*T1^8*T2^10 + 
      34*T1^9*T2^10 - 10*T1^10*T2^10 - 14*T1^11*T2^10 + 11*T1^12*T2^10 - 
      14*T1^13*T2^10 + 10*T1^14*T2^10 - 6*T1^15*T2^10 + 2*T1^16*T2^10 - 
      4*T1^3*T2^11 - 15*T1^4*T2^11 + 68*T1^5*T2^11 - 44*T1^6*T2^11 - 
      8*T1^7*T2^11 + 22*T1^8*T2^11 - 4*T1^9*T2^11 - 14*T1^10*T2^11 + 
      20*T1^11*T2^11 - 13*T1^12*T2^11 + 7*T1^13*T2^11 - T1^14*T2^11 - 
      3*T1^15*T2^11 + T1^16*T2^11 + 9*T1^4*T2^12 - 21*T1^5*T2^12 - 
      4*T1^6*T2^12 + 26*T1^7*T2^12 - 19*T1^8*T2^12 + 5*T1^9*T2^12 + 
      11*T1^10*T2^12 - 13*T1^11*T2^12 + 5*T1^12*T2^12 + 8*T1^13*T2^12 - 
      10*T1^14*T2^12 + 9*T1^15*T2^12 - 3*T1^16*T2^12 - 2*T1^5*T2^13 + 
      12*T1^6*T2^13 - 21*T1^7*T2^13 + 13*T1^8*T2^13 + 2*T1^9*T2^13 - 
      14*T1^10*T2^13 + 7*T1^11*T2^13 + 8*T1^12*T2^13 - 17*T1^13*T2^13 + 
      9*T1^14*T2^13 - 3*T1^15*T2^13 + T1^16*T2^13 - 2*T1^6*T2^14 + 
      6*T1^7*T2^14 - 3*T1^8*T2^14 - 7*T1^9*T2^14 + 10*T1^10*T2^14 - 
      T1^11*T2^14 - 10*T1^12*T2^14 + 9*T1^13*T2^14 + T1^14*T2^14 - 
      6*T1^15*T2^14 + 2*T1^16*T2^14 - 3*T1^8*T2^15 + 9*T1^9*T2^15 - 
      6*T1^10*T2^15 - 3*T1^11*T2^15 + 9*T1^12*T2^15 - 3*T1^13*T2^15 - 
      6*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 
      3*T1^9*T2^16 + 2*T1^10*T2^16 + T1^11*T2^16 - 3*T1^12*T2^16 + 
      T1^13*T2^16 + 2*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 58] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 16*T1^2 + 18*T1^3 - 16*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 49*T1^2*T2 - 40*T1^3*T2 + 28*T1^4*T2 + T1^5*T2 - 8*T1^6*T2 + 
     4*T1^7*T2 - 16*T2^2 + 49*T1*T2^2 - 74*T1^2*T2^2 + 29*T1^3*T2^2 - 
     6*T1^4*T2^2 - 51*T1^5*T2^2 + 38*T1^6*T2^2 - 15*T1^7*T2^2 + 18*T2^3 - 
     40*T1*T2^3 + 29*T1^2*T2^3 + 77*T1^3*T2^3 - 89*T1^4*T2^3 + 
     131*T1^5*T2^3 - 37*T1^6*T2^3 - 27*T1^7*T2^3 + 36*T1^8*T2^3 - 
     9*T1^9*T2^3 - 16*T2^4 + 28*T1*T2^4 - 6*T1^2*T2^4 - 89*T1^3*T2^4 + 
     26*T1^4*T2^4 - 22*T1^5*T2^4 - 110*T1^6*T2^4 + 127*T1^7*T2^4 - 
     38*T1^8*T2^4 - 28*T1^9*T2^4 + 16*T1^10*T2^4 + 8*T2^5 + T1*T2^5 - 
     51*T1^2*T2^5 + 131*T1^3*T2^5 - 22*T1^4*T2^5 - 26*T1^5*T2^5 + 
     146*T1^6*T2^5 - 86*T1^7*T2^5 - 97*T1^8*T2^5 + 101*T1^9*T2^5 - 
     15*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 38*T1^2*T2^6 - 
     37*T1^3*T2^6 - 110*T1^4*T2^6 + 146*T1^5*T2^6 - 96*T1^6*T2^6 - 
     70*T1^7*T2^6 + 258*T1^8*T2^6 - 91*T1^9*T2^6 - 42*T1^10*T2^6 + 
     32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 15*T1^2*T2^7 - 27*T1^3*T2^7 + 
     127*T1^4*T2^7 - 86*T1^5*T2^7 - 70*T1^6*T2^7 + 102*T1^7*T2^7 - 
     150*T1^8*T2^7 - 101*T1^9*T2^7 + 125*T1^10*T2^7 - 31*T1^11*T2^7 - 
     16*T1^12*T2^7 + 36*T1^3*T2^8 - 38*T1^4*T2^8 - 97*T1^5*T2^8 + 
     258*T1^6*T2^8 - 150*T1^7*T2^8 + 122*T1^8*T2^8 + 119*T1^9*T2^8 - 
     70*T1^10*T2^8 - 20*T1^11*T2^8 + 32*T1^12*T2^8 - 9*T1^3*T2^9 - 
     28*T1^4*T2^9 + 101*T1^5*T2^9 - 91*T1^6*T2^9 - 101*T1^7*T2^9 + 
     119*T1^8*T2^9 - 205*T1^9*T2^9 + 45*T1^10*T2^9 + 48*T1^11*T2^9 - 
     36*T1^12*T2^9 + 16*T1^4*T2^10 - 15*T1^5*T2^10 - 42*T1^6*T2^10 + 
     125*T1^7*T2^10 - 70*T1^8*T2^10 + 45*T1^9*T2^10 + 70*T1^10*T2^10 - 
     79*T1^11*T2^10 + 32*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 - 
     31*T1^7*T2^11 - 20*T1^8*T2^11 + 48*T1^9*T2^11 - 79*T1^10*T2^11 + 
     52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 
     32*T1^8*T2^12 - 36*T1^9*T2^12 + 32*T1^10*T2^12 - 16*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 59] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((-5 + 30*T1 - 60*T1^2 + 75*T1^3 - 60*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
      158*T1*T2 + 218*T1^2*T2 - 164*T1^3*T2 - 2*T1^4*T2 + 110*T1^5*T2 - 
      116*T1^6*T2 + 24*T1^7*T2 - 60*T2^2 + 218*T1*T2^2 + 121*T1^2*T2^2 - 
      638*T1^3*T2^2 + 1051*T1^4*T2^2 - 854*T1^5*T2^2 + 385*T1^6*T2^2 + 
      74*T1^7*T2^2 - 36*T1^8*T2^2 + 75*T2^3 - 164*T1*T2^3 - 638*T1^2*T2^3 + 
      1107*T1^3*T2^3 - 1045*T1^4*T2^3 + 89*T1^5*T2^3 + 531*T1^6*T2^3 - 
      674*T1^7*T2^3 + 34*T1^8*T2^3 + 30*T1^9*T2^3 - 60*T2^4 - 2*T1*T2^4 + 
      1051*T1^2*T2^4 - 1045*T1^3*T2^4 + 484*T1^4*T2^4 + 636*T1^5*T2^4 - 
      608*T1^6*T2^4 + 215*T1^7*T2^4 + 547*T1^8*T2^4 - 110*T1^9*T2^4 - 
      12*T1^10*T2^4 + 30*T2^5 + 110*T1*T2^5 - 854*T1^2*T2^5 + 89*T1^3*T2^5 + 
      636*T1^4*T2^5 - 1094*T1^5*T2^5 + 88*T1^6*T2^5 + 492*T1^7*T2^5 - 
      793*T1^8*T2^5 - 98*T1^9*T2^5 + 74*T1^10*T2^5 - 5*T2^6 - 116*T1*T2^6 + 
      385*T1^2*T2^6 + 531*T1^3*T2^6 - 608*T1^4*T2^6 + 88*T1^5*T2^6 + 
      1080*T1^6*T2^6 - 956*T1^7*T2^6 + 472*T1^8*T2^6 + 441*T1^9*T2^6 - 
      119*T1^10*T2^6 - 8*T1^11*T2^6 + T1^12*T2^6 + 24*T1*T2^7 + 
      74*T1^2*T2^7 - 674*T1^3*T2^7 + 215*T1^4*T2^7 + 492*T1^5*T2^7 - 
      956*T1^6*T2^7 + 226*T1^7*T2^7 + 348*T1^8*T2^7 - 667*T1^9*T2^7 + 
      82*T1^10*T2^7 + 38*T1^11*T2^7 - 6*T1^12*T2^7 - 36*T1^2*T2^8 + 
      34*T1^3*T2^8 + 547*T1^4*T2^8 - 793*T1^5*T2^8 + 472*T1^6*T2^8 + 
      348*T1^7*T2^8 - 620*T1^8*T2^8 + 467*T1^9*T2^8 + 43*T1^10*T2^8 - 
      74*T1^11*T2^8 + 12*T1^12*T2^8 + 30*T1^3*T2^9 - 110*T1^4*T2^9 - 
      98*T1^5*T2^9 + 441*T1^6*T2^9 - 667*T1^7*T2^9 + 467*T1^8*T2^9 - 
      135*T1^9*T2^9 - 134*T1^10*T2^9 + 88*T1^11*T2^9 - 15*T1^12*T2^9 - 
      12*T1^4*T2^10 + 74*T1^5*T2^10 - 119*T1^6*T2^10 + 82*T1^7*T2^10 + 
      43*T1^8*T2^10 - 134*T1^9*T2^10 + 145*T1^10*T2^10 - 70*T1^11*T2^10 + 
      12*T1^12*T2^10 - 8*T1^6*T2^11 + 38*T1^7*T2^11 - 74*T1^8*T2^11 + 
      88*T1^9*T2^11 - 70*T1^10*T2^11 + 34*T1^11*T2^11 - 6*T1^12*T2^11 + 
      T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 15*T1^9*T2^12 + 
      12*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 60] -> 
  {-((1 - 3*T + 4*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 4*T^6 - 3*T^7 + T^8)/T^4), 
   -((-5 + 15*T1 - 20*T1^2 + 25*T1^3 - 25*T1^4 + 25*T1^5 - 20*T1^6 + 
      15*T1^7 - 5*T1^8 + 15*T2 - 33*T1*T2 + 24*T1^2*T2 - 27*T1^3*T2 + 
      15*T1^4*T2 - 15*T1^5*T2 + 3*T1^7*T2 - 21*T1^8*T2 + 12*T1^9*T2 - 
      20*T2^2 + 24*T1*T2^2 + 15*T1^2*T2^2 - 5*T1^3*T2^2 + 30*T1^4*T2^2 - 
      19*T1^5*T2^2 + 38*T1^6*T2^2 - 21*T1^7*T2^2 + 39*T1^8*T2^2 - 
      12*T1^10*T2^2 + 25*T2^3 - 27*T1*T2^3 - 5*T1^2*T2^3 - 37*T1^3*T2^3 - 
      4*T1^4*T2^3 - 21*T1^5*T2^3 - 6*T1^6*T2^3 - 16*T1^7*T2^3 - 
      31*T1^8*T2^3 - 17*T1^9*T2^3 + 6*T1^10*T2^3 + 10*T1^11*T2^3 - 25*T2^4 + 
      15*T1*T2^4 + 30*T1^2*T2^4 - 4*T1^3*T2^4 + 90*T1^4*T2^4 - 57*T1^5*T2^4 + 
      90*T1^6*T2^4 - 67*T1^7*T2^4 + 110*T1^8*T2^4 - 14*T1^9*T2^4 + 
      20*T1^10*T2^4 - 15*T1^11*T2^4 - 5*T1^12*T2^4 + 25*T2^5 - 15*T1*T2^5 - 
      19*T1^2*T2^5 - 21*T1^3*T2^5 - 57*T1^4*T2^5 - 25*T1^6*T2^5 + 
      5*T1^7*T2^5 - 30*T1^8*T2^5 - 52*T1^9*T2^5 + 4*T1^10*T2^5 - 
      4*T1^11*T2^5 + 15*T1^12*T2^5 - 20*T2^6 + 38*T1^2*T2^6 - 6*T1^3*T2^6 + 
      90*T1^4*T2^6 - 25*T1^5*T2^6 + 33*T1^6*T2^6 - 19*T1^7*T2^6 + 
      25*T1^8*T2^6 + 15*T1^9*T2^6 + 30*T1^10*T2^6 - 6*T1^11*T2^6 - 
      6*T1^12*T2^6 - 12*T1^13*T2^6 + 4*T1^14*T2^6 + 15*T2^7 + 3*T1*T2^7 - 
      21*T1^2*T2^7 - 16*T1^3*T2^7 - 67*T1^4*T2^7 + 5*T1^5*T2^7 - 
      19*T1^6*T2^7 + 28*T1^7*T2^7 - 18*T1^8*T2^7 + 2*T1^9*T2^7 - 
      5*T1^10*T2^7 - 12*T1^11*T2^7 + 4*T1^12*T2^7 + 15*T1^13*T2^7 + 
      6*T1^14*T2^7 - 6*T1^15*T2^7 - 5*T2^8 - 21*T1*T2^8 + 39*T1^2*T2^8 - 
      31*T1^3*T2^8 + 110*T1^4*T2^8 - 30*T1^5*T2^8 + 25*T1^6*T2^8 - 
      18*T1^7*T2^8 - 36*T1^8*T2^8 + 42*T1^9*T2^8 - 57*T1^10*T2^8 + 
      30*T1^11*T2^8 - 14*T1^12*T2^8 + 3*T1^13*T2^8 - 27*T1^14*T2^8 + 
      9*T1^15*T2^8 + 3*T1^16*T2^8 + 12*T1*T2^9 - 17*T1^3*T2^9 - 
      14*T1^4*T2^9 - 52*T1^5*T2^9 + 15*T1^6*T2^9 + 2*T1^7*T2^9 + 
      42*T1^8*T2^9 - 4*T1^9*T2^9 + 23*T1^10*T2^9 + 5*T1^11*T2^9 + 
      3*T1^12*T2^9 + 6*T1^13*T2^9 + 19*T1^14*T2^9 + 3*T1^15*T2^9 - 
      9*T1^16*T2^9 - 12*T1^2*T2^10 + 6*T1^3*T2^10 + 20*T1^4*T2^10 + 
      4*T1^5*T2^10 + 30*T1^6*T2^10 - 5*T1^7*T2^10 - 57*T1^8*T2^10 + 
      23*T1^9*T2^10 - 65*T1^10*T2^10 + 35*T1^11*T2^10 - 30*T1^12*T2^10 + 
      4*T1^13*T2^10 - 24*T1^14*T2^10 - 6*T1^15*T2^10 + 12*T1^16*T2^10 + 
      10*T1^3*T2^11 - 15*T1^4*T2^11 - 4*T1^5*T2^11 - 6*T1^6*T2^11 - 
      12*T1^7*T2^11 + 30*T1^8*T2^11 + 5*T1^9*T2^11 + 35*T1^10*T2^11 - 
      7*T1^12*T2^11 + 19*T1^13*T2^11 + 11*T1^14*T2^11 + 15*T1^15*T2^11 - 
      15*T1^16*T2^11 - 5*T1^4*T2^12 + 15*T1^5*T2^12 - 6*T1^6*T2^12 + 
      4*T1^7*T2^12 - 14*T1^8*T2^12 + 3*T1^9*T2^12 - 30*T1^10*T2^12 - 
      7*T1^11*T2^12 + 6*T1^12*T2^12 - 6*T1^13*T2^12 - 16*T1^14*T2^12 - 
      15*T1^15*T2^12 + 15*T1^16*T2^12 - 12*T1^6*T2^13 + 15*T1^7*T2^13 + 
      3*T1^8*T2^13 + 6*T1^9*T2^13 + 4*T1^10*T2^13 + 19*T1^11*T2^13 - 
      6*T1^12*T2^13 + 9*T1^13*T2^13 + 3*T1^14*T2^13 + 21*T1^15*T2^13 - 
      15*T1^16*T2^13 + 4*T1^6*T2^14 + 6*T1^7*T2^14 - 27*T1^8*T2^14 + 
      19*T1^9*T2^14 - 24*T1^10*T2^14 + 11*T1^11*T2^14 - 16*T1^12*T2^14 + 
      3*T1^13*T2^14 - 3*T1^14*T2^14 - 18*T1^15*T2^14 + 12*T1^16*T2^14 - 
      6*T1^7*T2^15 + 9*T1^8*T2^15 + 3*T1^9*T2^15 - 6*T1^10*T2^15 + 
      15*T1^11*T2^15 - 15*T1^12*T2^15 + 21*T1^13*T2^15 - 18*T1^14*T2^15 + 
      21*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 
      12*T1^10*T2^16 - 15*T1^11*T2^16 + 15*T1^12*T2^16 - 15*T1^13*T2^16 + 
      12*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 61] -> 
  {(1 - 3*T + 4*T^2 - T^3 - T^4 - T^5 + 4*T^6 - 3*T^7 + T^8)/T^4, 
   (-6 + 18*T1 - 24*T1^2 + 6*T1^3 + 6*T1^4 + 6*T1^5 - 24*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 27*T1^2*T2 + 42*T1^3*T2 - 33*T1^4*T2 - 
     33*T1^5*T2 + 57*T1^6*T2 + 6*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     24*T2^2 + 27*T1*T2^2 + 22*T1^2*T2^2 - 107*T1^3*T2^2 + 5*T1^4*T2^2 + 
     84*T1^5*T2^2 - 35*T1^6*T2^2 - 91*T1^7*T2^2 + 46*T1^8*T2^2 + 
     3*T1^9*T2^2 - 16*T1^10*T2^2 + 6*T2^3 + 42*T1*T2^3 - 107*T1^2*T2^3 + 
     95*T1^3*T2^3 + 112*T1^4*T2^3 - 98*T1^5*T2^3 - 83*T1^6*T2^3 + 
     166*T1^7*T2^3 + 17*T1^8*T2^3 - 71*T1^9*T2^3 + 39*T1^10*T2^3 + 
     3*T1^11*T2^3 + 6*T2^4 - 33*T1*T2^4 + 5*T1^2*T2^4 + 112*T1^3*T2^4 - 
     208*T1^4*T2^4 + 20*T1^5*T2^4 + 126*T1^6*T2^4 - 18*T1^7*T2^4 - 
     188*T1^8*T2^4 + 134*T1^9*T2^4 - 29*T1^10*T2^4 - 15*T1^11*T2^4 + 
     2*T1^12*T2^4 + 6*T2^5 - 33*T1*T2^5 + 84*T1^2*T2^5 - 98*T1^3*T2^5 + 
     20*T1^4*T2^5 + 74*T1^5*T2^5 - 23*T1^6*T2^5 - 103*T1^7*T2^5 + 
     122*T1^8*T2^5 - 21*T1^9*T2^5 - 41*T1^10*T2^5 + 33*T1^11*T2^5 - 
     9*T1^12*T2^5 + T1^13*T2^5 - 24*T2^6 + 57*T1*T2^6 - 35*T1^2*T2^6 - 
     83*T1^3*T2^6 + 126*T1^4*T2^6 - 23*T1^5*T2^6 - 56*T1^6*T2^6 + 
     12*T1^7*T2^6 + 80*T1^8*T2^6 - 87*T1^9*T2^6 + 66*T1^10*T2^6 - 
     35*T1^11*T2^6 + 17*T1^12*T2^6 - 3*T1^13*T2^6 + 18*T2^7 + 6*T1*T2^7 - 
     91*T1^2*T2^7 + 166*T1^3*T2^7 - 18*T1^4*T2^7 - 103*T1^5*T2^7 + 
     12*T1^6*T2^7 + 138*T1^7*T2^7 - 138*T1^8*T2^7 + 19*T1^9*T2^7 + 
     9*T1^10*T2^7 + 11*T1^11*T2^7 - 16*T1^12*T2^7 - 7*T1^13*T2^7 + 
     9*T1^14*T2^7 - 3*T1^15*T2^7 - 6*T2^8 - 27*T1*T2^8 + 46*T1^2*T2^8 + 
     17*T1^3*T2^8 - 188*T1^4*T2^8 + 122*T1^5*T2^8 + 80*T1^6*T2^8 - 
     138*T1^7*T2^8 + 12*T1^8*T2^8 + 118*T1^9*T2^8 - 66*T1^10*T2^8 + 
     2*T1^11*T2^8 + 35*T1^13*T2^8 - 20*T1^14*T2^8 + 3*T1^15*T2^8 + 
     2*T1^16*T2^8 + 15*T1*T2^9 + 3*T1^2*T2^9 - 71*T1^3*T2^9 + 134*T1^4*T2^9 - 
     21*T1^5*T2^9 - 87*T1^6*T2^9 + 19*T1^7*T2^9 + 118*T1^8*T2^9 - 
     158*T1^9*T2^9 + 26*T1^10*T2^9 + 25*T1^11*T2^9 + 8*T1^12*T2^9 - 
     48*T1^13*T2^9 + 13*T1^14*T2^9 + 6*T1^15*T2^9 - 6*T1^16*T2^9 - 
     16*T1^2*T2^10 + 39*T1^3*T2^10 - 29*T1^4*T2^10 - 41*T1^5*T2^10 + 
     66*T1^6*T2^10 + 9*T1^7*T2^10 - 66*T1^8*T2^10 + 26*T1^9*T2^10 + 
     70*T1^10*T2^10 - 55*T1^11*T2^10 + 6*T1^12*T2^10 + 7*T1^13*T2^10 + 
     23*T1^14*T2^10 - 21*T1^15*T2^10 + 8*T1^16*T2^10 + 3*T1^3*T2^11 - 
     15*T1^4*T2^11 + 33*T1^5*T2^11 - 35*T1^6*T2^11 + 11*T1^7*T2^11 + 
     2*T1^8*T2^11 + 25*T1^9*T2^11 - 55*T1^10*T2^11 + 50*T1^11*T2^11 - 
     30*T1^12*T2^11 + 22*T1^13*T2^11 - 18*T1^14*T2^11 + 9*T1^15*T2^11 - 
     2*T1^16*T2^11 + 2*T1^4*T2^12 - 9*T1^5*T2^12 + 17*T1^6*T2^12 - 
     16*T1^7*T2^12 + 8*T1^9*T2^12 + 6*T1^10*T2^12 - 30*T1^11*T2^12 + 
     20*T1^12*T2^12 + 6*T1^13*T2^12 - 17*T1^14*T2^12 + 9*T1^15*T2^12 - 
     2*T1^16*T2^12 + T1^5*T2^13 - 3*T1^6*T2^13 - 7*T1^7*T2^13 + 
     35*T1^8*T2^13 - 48*T1^9*T2^13 + 7*T1^10*T2^13 + 22*T1^11*T2^13 + 
     6*T1^12*T2^13 - 43*T1^13*T2^13 + 29*T1^14*T2^13 - 6*T1^15*T2^13 - 
     2*T1^16*T2^13 + 9*T1^7*T2^14 - 20*T1^8*T2^14 + 13*T1^9*T2^14 + 
     23*T1^10*T2^14 - 18*T1^11*T2^14 - 17*T1^12*T2^14 + 29*T1^13*T2^14 + 
     4*T1^14*T2^14 - 15*T1^15*T2^14 + 8*T1^16*T2^14 - 3*T1^7*T2^15 + 
     3*T1^8*T2^15 + 6*T1^9*T2^15 - 21*T1^10*T2^15 + 9*T1^11*T2^15 + 
     9*T1^12*T2^15 - 6*T1^13*T2^15 - 15*T1^14*T2^15 + 15*T1^15*T2^15 - 
     6*T1^16*T2^15 + 2*T1^8*T2^16 - 6*T1^9*T2^16 + 8*T1^10*T2^16 - 
     2*T1^11*T2^16 - 2*T1^12*T2^16 - 2*T1^13*T2^16 + 8*T1^14*T2^16 - 
     6*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 62] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-15 + 60*T1 - 97*T1^2 + 60*T1^3 - 15*T1^4 + 60*T2 - 212*T1*T2 + 
     280*T1^2*T2 - 56*T1^3*T2 - 52*T1^4*T2 + 28*T1^5*T2 - 97*T2^2 + 
     280*T1*T2^2 - 204*T1^2*T2^2 - 350*T1^3*T2^2 + 368*T1^4*T2^2 - 
     136*T1^5*T2^2 + 7*T1^6*T2^2 + 60*T2^3 - 56*T1*T2^3 - 350*T1^2*T2^3 + 
     1032*T1^3*T2^3 - 672*T1^4*T2^3 + 66*T1^5*T2^3 + 120*T1^6*T2^3 - 
     36*T1^7*T2^3 - 15*T2^4 - 52*T1*T2^4 + 368*T1^2*T2^4 - 672*T1^3*T2^4 + 
     60*T1^4*T2^4 + 608*T1^5*T2^4 - 448*T1^6*T2^4 + 76*T1^7*T2^4 + 
     17*T1^8*T2^4 + 28*T1*T2^5 - 136*T1^2*T2^5 + 66*T1^3*T2^5 + 
     608*T1^4*T2^5 - 1096*T1^5*T2^5 + 482*T1^6*T2^5 + 40*T1^7*T2^5 - 
     68*T1^8*T2^5 + 7*T1^2*T2^6 + 120*T1^3*T2^6 - 448*T1^4*T2^6 + 
     482*T1^5*T2^6 + 124*T1^6*T2^6 - 296*T1^7*T2^6 + 111*T1^8*T2^6 - 
     36*T1^3*T2^7 + 76*T1^4*T2^7 + 40*T1^5*T2^7 - 296*T1^6*T2^7 + 
     236*T1^7*T2^7 - 68*T1^8*T2^7 + 17*T1^4*T2^8 - 68*T1^5*T2^8 + 
     111*T1^6*T2^8 - 68*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 63] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-25 + 126*T1 - 189*T1^2 + 126*T1^3 - 25*T1^4 + 126*T2 - 556*T1*T2 + 
      518*T1^2*T2 + 18*T1^3*T2 - 316*T1^4*T2 + 86*T1^5*T2 - 189*T2^2 + 
      518*T1*T2^2 + 787*T1^2*T2^2 - 2099*T1^3*T2^2 + 1567*T1^4*T2^2 - 
      82*T1^5*T2^2 - 69*T1^6*T2^2 + 126*T2^3 + 18*T1*T2^3 - 2099*T1^2*T2^3 + 
      2552*T1^3*T2^3 - 478*T1^4*T2^3 - 1199*T1^5*T2^3 + 318*T1^6*T2^3 + 
      6*T1^7*T2^3 - 25*T2^4 - 316*T1*T2^4 + 1567*T1^2*T2^4 - 478*T1^3*T2^4 - 
      1704*T1^4*T2^4 + 1962*T1^5*T2^4 - 193*T1^6*T2^4 - 76*T1^7*T2^4 + 
      7*T1^8*T2^4 + 86*T1*T2^5 - 82*T1^2*T2^5 - 1199*T1^3*T2^5 + 
      1962*T1^4*T2^5 - 1068*T1^5*T2^5 - 299*T1^6*T2^5 + 218*T1^7*T2^5 - 
      34*T1^8*T2^5 - 69*T1^2*T2^6 + 318*T1^3*T2^6 - 193*T1^4*T2^6 - 
      299*T1^5*T2^6 + 587*T1^6*T2^6 - 282*T1^7*T2^6 + 51*T1^8*T2^6 + 
      6*T1^3*T2^7 - 76*T1^4*T2^7 + 218*T1^5*T2^7 - 282*T1^6*T2^7 + 
      164*T1^7*T2^7 - 34*T1^8*T2^7 + 7*T1^4*T2^8 - 34*T1^5*T2^8 + 
      51*T1^6*T2^8 - 34*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 64] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - T - T^2 - T^3 + T^4))/T^3), 
   -((-39 + 97*T1 - 58*T1^2 + 19*T1^3 - 58*T1^4 + 97*T1^5 - 39*T1^6 + 97*T2 - 
      164*T1*T2 - 47*T1^2*T2 + 67*T1^3*T2 + 107*T1^4*T2 - 127*T1^5*T2 - 
      94*T1^6*T2 + 77*T1^7*T2 - 58*T2^2 - 47*T1*T2^2 + 352*T1^2*T2^2 - 
      169*T1^3*T2^2 - 46*T1^4*T2^2 - 121*T1^5*T2^2 + 364*T1^6*T2^2 - 
      107*T1^7*T2^2 - 34*T1^8*T2^2 + 19*T2^3 + 67*T1*T2^3 - 169*T1^2*T2^3 - 
      43*T1^3*T2^3 + 84*T1^4*T2^3 + 96*T1^5*T2^3 - 145*T1^6*T2^3 - 
      82*T1^7*T2^3 + 67*T1^8*T2^3 + 7*T1^9*T2^3 - 58*T2^4 + 107*T1*T2^4 - 
      46*T1^2*T2^4 + 84*T1^3*T2^4 - 101*T1^4*T2^4 + 61*T1^5*T2^4 - 
      37*T1^6*T2^4 + 70*T1^7*T2^4 - 24*T1^8*T2^4 + 7*T1^9*T2^4 - 
      10*T1^10*T2^4 + 97*T2^5 - 127*T1*T2^5 - 121*T1^2*T2^5 + 96*T1^3*T2^5 + 
      61*T1^4*T2^5 - 42*T1^5*T2^5 - 40*T1^6*T2^5 + 22*T1^7*T2^5 + 
      32*T1^8*T2^5 - 52*T1^9*T2^5 + 33*T1^10*T2^5 - 3*T1^11*T2^5 - 39*T2^6 - 
      94*T1*T2^6 + 364*T1^2*T2^6 - 145*T1^3*T2^6 - 37*T1^4*T2^6 - 
      40*T1^5*T2^6 + 36*T1^6*T2^6 + 12*T1^7*T2^6 - 47*T1^8*T2^6 + 
      41*T1^9*T2^6 - 28*T1^10*T2^6 - 14*T1^11*T2^6 + 9*T1^12*T2^6 + 
      77*T1*T2^7 - 107*T1^2*T2^7 - 82*T1^3*T2^7 + 70*T1^4*T2^7 + 
      22*T1^5*T2^7 + 12*T1^6*T2^7 + 14*T1^7*T2^7 - 17*T1^8*T2^7 + 
      6*T1^9*T2^7 - 13*T1^10*T2^7 + 53*T1^11*T2^7 - 23*T1^12*T2^7 - 
      34*T1^2*T2^8 + 67*T1^3*T2^8 - 24*T1^4*T2^8 + 32*T1^5*T2^8 - 
      47*T1^6*T2^8 - 17*T1^7*T2^8 + 17*T1^8*T2^8 + 18*T1^9*T2^8 - 
      2*T1^10*T2^8 - 33*T1^11*T2^8 + 14*T1^12*T2^8 + 7*T1^3*T2^9 + 
      7*T1^4*T2^9 - 52*T1^5*T2^9 + 41*T1^6*T2^9 + 6*T1^7*T2^9 + 
      18*T1^8*T2^9 - 61*T1^9*T2^9 + 35*T1^10*T2^9 + 7*T1^11*T2^9 - 
      5*T1^12*T2^9 - 10*T1^4*T2^10 + 33*T1^5*T2^10 - 28*T1^6*T2^10 - 
      13*T1^7*T2^10 - 2*T1^8*T2^10 + 35*T1^9*T2^10 - 16*T1^10*T2^10 - 
      27*T1^11*T2^10 + 14*T1^12*T2^10 - 3*T1^5*T2^11 - 14*T1^6*T2^11 + 
      53*T1^7*T2^11 - 33*T1^8*T2^11 + 7*T1^9*T2^11 - 27*T1^10*T2^11 + 
      56*T1^11*T2^11 - 23*T1^12*T2^11 + 9*T1^6*T2^12 - 23*T1^7*T2^12 + 
      14*T1^8*T2^12 - 5*T1^9*T2^12 + 14*T1^10*T2^12 - 23*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 65] -> {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (-45 + 119*T1 - 161*T1^2 + 119*T1^3 - 45*T1^4 + 119*T2 - 270*T1*T2 + 
     304*T1^2*T2 - 152*T1^3*T2 - 6*T1^4*T2 + 47*T1^5*T2 - 161*T2^2 + 
     304*T1*T2^2 - 153*T1^2*T2^2 - 205*T1^3*T2^2 + 375*T1^4*T2^2 - 
     224*T1^5*T2^2 + 37*T1^6*T2^2 + 119*T2^3 - 152*T1*T2^3 - 205*T1^2*T2^3 + 
     492*T1^3*T2^3 - 388*T1^4*T2^3 - 29*T1^5*T2^3 + 160*T1^6*T2^3 - 
     97*T1^7*T2^3 - 45*T2^4 - 6*T1*T2^4 + 375*T1^2*T2^4 - 388*T1^3*T2^4 + 
     84*T1^4*T2^4 + 348*T1^5*T2^4 - 253*T1^6*T2^4 + 90*T1^7*T2^4 + 
     63*T1^8*T2^4 + 47*T1*T2^5 - 224*T1^2*T2^5 - 29*T1^3*T2^5 + 
     348*T1^4*T2^5 - 532*T1^5*T2^5 + 147*T1^6*T2^5 + 88*T1^7*T2^5 - 
     169*T1^8*T2^5 + 37*T1^2*T2^6 + 160*T1^3*T2^6 - 253*T1^4*T2^6 + 
     147*T1^5*T2^6 + 275*T1^6*T2^6 - 368*T1^7*T2^6 + 235*T1^8*T2^6 - 
     97*T1^3*T2^7 + 90*T1^4*T2^7 + 88*T1^5*T2^7 - 368*T1^6*T2^7 + 
     354*T1^7*T2^7 - 169*T1^8*T2^7 + 63*T1^4*T2^8 - 169*T1^5*T2^8 + 
     235*T1^6*T2^8 - 169*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 66] -> {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   (-4 + 28*T1 - 72*T1^2 + 92*T1^3 - 72*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 357*T1^2*T2 - 266*T1^3*T2 + 21*T1^4*T2 + 182*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 72*T2^2 + 357*T1*T2^2 - 308*T1^2*T2^2 - 
     721*T1^3*T2^2 + 1414*T1^4*T2^2 - 1297*T1^5*T2^2 + 304*T1^6*T2^2 + 
     105*T1^7*T2^2 - 36*T1^8*T2^2 + 92*T2^3 - 266*T1*T2^3 - 721*T1^2*T2^3 + 
     2905*T1^3*T2^3 - 2644*T1^4*T2^3 + 797*T1^5*T2^3 + 1411*T1^6*T2^3 - 
     955*T1^7*T2^3 + 91*T1^8*T2^3 + 23*T1^9*T2^3 - 72*T2^4 + 21*T1*T2^4 + 
     1414*T1^2*T2^4 - 2644*T1^3*T2^4 - 658*T1^4*T2^4 + 3752*T1^5*T2^4 - 
     4586*T1^6*T2^4 + 1174*T1^7*T2^4 + 456*T1^8*T2^4 - 161*T1^9*T2^4 + 
     28*T2^5 + 182*T1*T2^5 - 1297*T1^2*T2^5 + 797*T1^3*T2^5 + 
     3752*T1^4*T2^5 - 5035*T1^5*T2^5 + 2769*T1^6*T2^5 + 1844*T1^7*T2^5 - 
     1890*T1^8*T2^5 + 305*T1^9*T2^5 + 49*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 304*T1^2*T2^6 + 1411*T1^3*T2^6 - 4586*T1^4*T2^6 + 
     2769*T1^5*T2^6 + 1428*T1^6*T2^6 - 4309*T1^7*T2^6 + 2030*T1^8*T2^6 + 
     265*T1^9*T2^6 - 312*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 105*T1^2*T2^7 - 955*T1^3*T2^7 + 1174*T1^4*T2^7 + 
     1844*T1^5*T2^7 - 4309*T1^6*T2^7 + 3495*T1^7*T2^7 - 64*T1^8*T2^7 - 
     1513*T1^9*T2^7 + 647*T1^10*T2^7 - 28*T1^11*T2^7 - 14*T1^12*T2^7 - 
     36*T1^2*T2^8 + 91*T1^3*T2^8 + 456*T1^4*T2^8 - 1890*T1^5*T2^8 + 
     2030*T1^6*T2^8 - 64*T1^7*T2^8 - 1898*T1^8*T2^8 + 1928*T1^9*T2^8 - 
     502*T1^10*T2^8 - 91*T1^11*T2^8 + 36*T1^12*T2^8 + 23*T1^3*T2^9 - 
     161*T1^4*T2^9 + 305*T1^5*T2^9 + 265*T1^6*T2^9 - 1513*T1^7*T2^9 + 
     1928*T1^8*T2^9 - 1229*T1^9*T2^9 + 71*T1^10*T2^9 + 196*T1^11*T2^9 - 
     46*T1^12*T2^9 + 49*T1^5*T2^10 - 312*T1^6*T2^10 + 647*T1^7*T2^10 - 
     502*T1^8*T2^10 + 71*T1^9*T2^10 + 300*T1^10*T2^10 - 203*T1^11*T2^10 + 
     36*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 28*T1^7*T2^11 - 
     91*T1^8*T2^11 + 196*T1^9*T2^11 - 203*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 36*T1^8*T2^12 - 
     46*T1^9*T2^12 + 36*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 67] -> 
  {-(((-2 + T)*(-1 + 2*T))/T), (T1 + T1^2 + T2 + 7*T1*T2 - 35*T1^2*T2 + 
     7*T1^3*T2 + T1^4*T2 + T2^2 - 35*T1*T2^2 + 84*T1^2*T2^2 + 14*T1^3*T2^2 - 
     15*T1^4*T2^2 + T1^5*T2^2 + 7*T1*T2^3 + 14*T1^2*T2^3 - 120*T1^3*T2^3 + 
     54*T1^4*T2^3 - 9*T1^5*T2^3 + T1*T2^4 - 15*T1^2*T2^4 + 54*T1^3*T2^4 - 
     16*T1^4*T2^4 + 5*T1^5*T2^4 + T1^6*T2^4 + T1^2*T2^5 - 9*T1^3*T2^5 + 
     5*T1^4*T2^5 - 9*T1^5*T2^5 + T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/
    (T1^4*T2^3*(-1 + T1*T2))}, Knot[11, NonAlternating, 68] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   -((-200 + 794*T1 - 1136*T1^2 + 794*T1^3 - 200*T1^4 + 794*T2 - 2616*T1*T2 + 
      2385*T1^2*T2 - 111*T1^3*T2 - 1336*T1^4*T2 + 538*T1^5*T2 - 1136*T2^2 + 
      2385*T1*T2^2 + 1576*T1^2*T2^2 - 5996*T1^3*T2^2 + 5072*T1^4*T2^2 - 
      559*T1^5*T2^2 - 400*T1^6*T2^2 + 794*T2^3 - 111*T1*T2^3 - 
      5996*T1^2*T2^3 + 7996*T1^3*T2^3 - 2516*T1^4*T2^3 - 3052*T1^5*T2^3 + 
      1489*T1^6*T2^3 + 26*T1^7*T2^3 - 200*T2^4 - 1336*T1*T2^4 + 
      5072*T1^2*T2^4 - 2516*T1^3*T2^4 - 4164*T1^4*T2^4 + 6188*T1^5*T2^4 - 
      1648*T1^6*T2^4 - 312*T1^7*T2^4 + 56*T1^8*T2^4 + 538*T1*T2^5 - 
      559*T1^2*T2^5 - 3052*T1^3*T2^5 + 6188*T1^4*T2^5 - 4324*T1^5*T2^5 - 
      108*T1^6*T2^5 + 1041*T1^7*T2^5 - 230*T1^8*T2^5 - 400*T1^2*T2^6 + 
      1489*T1^3*T2^6 - 1648*T1^4*T2^6 - 108*T1^5*T2^6 + 1848*T1^6*T2^6 - 
      1455*T1^7*T2^6 + 336*T1^8*T2^6 + 26*T1^3*T2^7 - 312*T1^4*T2^7 + 
      1041*T1^5*T2^7 - 1455*T1^6*T2^7 + 968*T1^7*T2^7 - 230*T1^8*T2^7 + 
      56*T1^4*T2^8 - 230*T1^5*T2^8 + 336*T1^6*T2^8 - 230*T1^7*T2^8 + 
      56*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 69] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((-41 + 143*T1 - 182*T1^2 + 181*T1^3 - 182*T1^4 + 143*T1^5 - 41*T1^6 + 
      143*T2 - 384*T1*T2 + 235*T1^2*T2 - 123*T1^3*T2 + 129*T1^4*T2 + 
      11*T1^5*T2 - 258*T1^6*T2 + 115*T1^7*T2 - 182*T2^2 + 235*T1*T2^2 + 
      475*T1^2*T2^2 - 599*T1^3*T2^2 + 487*T1^4*T2^2 - 671*T1^5*T2^2 + 
      727*T1^6*T2^2 - 17*T1^7*T2^2 - 110*T1^8*T2^2 + 181*T2^3 - 123*T1*T2^3 - 
      599*T1^2*T2^3 + 259*T1^3*T2^3 - 27*T1^4*T2^3 + 243*T1^5*T2^3 - 
      155*T1^6*T2^3 - 518*T1^7*T2^3 + 129*T1^8*T2^3 + 73*T1^9*T2^3 - 
      182*T2^4 + 129*T1*T2^4 + 487*T1^2*T2^4 - 27*T1^3*T2^4 - 32*T1^4*T2^4 - 
      276*T1^5*T2^4 + 220*T1^6*T2^4 + 207*T1^7*T2^4 + 253*T1^8*T2^4 - 
      123*T1^9*T2^4 - 38*T1^10*T2^4 + 143*T2^5 + 11*T1*T2^5 - 671*T1^2*T2^5 + 
      243*T1^3*T2^5 - 276*T1^4*T2^5 + 570*T1^5*T2^5 - 366*T1^6*T2^5 - 
      123*T1^7*T2^5 - 99*T1^8*T2^5 - 140*T1^9*T2^5 + 123*T1^10*T2^5 + 
      3*T1^11*T2^5 - 41*T2^6 - 258*T1*T2^6 + 727*T1^2*T2^6 - 155*T1^3*T2^6 + 
      220*T1^4*T2^6 - 366*T1^5*T2^6 - 132*T1^6*T2^6 + 514*T1^7*T2^6 - 
      194*T1^8*T2^6 + 259*T1^9*T2^6 - 105*T1^10*T2^6 - 34*T1^11*T2^6 + 
      7*T1^12*T2^6 + 115*T1*T2^7 - 17*T1^2*T2^7 - 518*T1^3*T2^7 + 
      207*T1^4*T2^7 - 123*T1^5*T2^7 + 514*T1^6*T2^7 - 422*T1^7*T2^7 + 
      30*T1^8*T2^7 - 135*T1^9*T2^7 + 13*T1^10*T2^7 + 95*T1^11*T2^7 - 
      25*T1^12*T2^7 - 110*T1^2*T2^8 + 129*T1^3*T2^8 + 253*T1^4*T2^8 - 
      99*T1^5*T2^8 - 194*T1^6*T2^8 + 30*T1^7*T2^8 + 58*T1^8*T2^8 + 
      135*T1^9*T2^8 + 19*T1^10*T2^8 - 123*T1^11*T2^8 + 34*T1^12*T2^8 + 
      73*T1^3*T2^9 - 123*T1^4*T2^9 - 140*T1^5*T2^9 + 259*T1^6*T2^9 - 
      135*T1^7*T2^9 + 135*T1^8*T2^9 - 155*T1^9*T2^9 - 59*T1^10*T2^9 + 
      129*T1^11*T2^9 - 35*T1^12*T2^9 - 38*T1^4*T2^10 + 123*T1^5*T2^10 - 
      105*T1^6*T2^10 + 13*T1^7*T2^10 + 19*T1^8*T2^10 - 59*T1^9*T2^10 + 
      147*T1^10*T2^10 - 129*T1^11*T2^10 + 34*T1^12*T2^10 + 3*T1^5*T2^11 - 
      34*T1^6*T2^11 + 95*T1^7*T2^11 - 123*T1^8*T2^11 + 129*T1^9*T2^11 - 
      129*T1^10*T2^11 + 92*T1^11*T2^11 - 25*T1^12*T2^11 + 7*T1^6*T2^12 - 
      25*T1^7*T2^12 + 34*T1^8*T2^12 - 35*T1^9*T2^12 + 34*T1^10*T2^12 - 
      25*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 70] -> 
  {-((1 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + T^6)/T^3), 
   -((-5 + 10*T1 - 10*T1^2 + 15*T1^3 - 10*T1^4 + 10*T1^5 - 5*T1^6 + 10*T2 - 
      12*T1*T2 + 4*T1^2*T2 - 14*T1^3*T2 - 4*T1^4*T2 - 4*T1^5*T2 - 6*T1^6*T2 + 
      8*T1^7*T2 - 10*T2^2 + 4*T1*T2^2 + 7*T1^2*T2^2 + 7*T1^3*T2^2 + 
      17*T1^4*T2^2 + 3*T1^5*T2^2 + 11*T1^6*T2^2 - 4*T1^7*T2^2 - 6*T1^8*T2^2 + 
      15*T2^3 - 14*T1*T2^3 + 7*T1^2*T2^3 - 25*T1^3*T2^3 - 2*T1^4*T2^3 - 
      18*T1^5*T2^3 - 5*T1^6*T2^3 + T1^7*T2^3 + 6*T1^9*T2^3 - 10*T2^4 - 
      4*T1*T2^4 + 17*T1^2*T2^4 - 2*T1^3*T2^4 + 27*T1^4*T2^4 - 5*T1^5*T2^4 + 
      23*T1^6*T2^4 - 14*T1^7*T2^4 + 9*T1^8*T2^4 - 8*T1^9*T2^4 - 
      2*T1^10*T2^4 + 10*T2^5 - 4*T1*T2^5 + 3*T1^2*T2^5 - 18*T1^3*T2^5 - 
      5*T1^4*T2^5 - 12*T1^5*T2^5 - T1^7*T2^5 + 6*T1^8*T2^5 + T1^9*T2^5 + 
      4*T1^10*T2^5 - 5*T2^6 - 6*T1*T2^6 + 11*T1^2*T2^6 - 5*T1^3*T2^6 + 
      23*T1^4*T2^6 - 4*T1^7*T2^6 - 5*T1^8*T2^6 - 7*T1^9*T2^6 - T1^10*T2^6 - 
      2*T1^11*T2^6 + T1^12*T2^6 + 8*T1*T2^7 - 4*T1^2*T2^7 + T1^3*T2^7 - 
      14*T1^4*T2^7 - T1^5*T2^7 - 4*T1^6*T2^7 + 8*T1^7*T2^7 + 3*T1^8*T2^7 + 
      10*T1^9*T2^7 - T1^10*T2^7 + 4*T1^11*T2^7 - 2*T1^12*T2^7 - 6*T1^2*T2^8 + 
      9*T1^4*T2^8 + 6*T1^5*T2^8 - 5*T1^6*T2^8 + 3*T1^7*T2^8 - 9*T1^8*T2^8 - 
      6*T1^9*T2^8 + T1^10*T2^8 - 4*T1^11*T2^8 + 2*T1^12*T2^8 + 6*T1^3*T2^9 - 
      8*T1^4*T2^9 + T1^5*T2^9 - 7*T1^6*T2^9 + 10*T1^7*T2^9 - 6*T1^8*T2^9 + 
      13*T1^9*T2^9 - 5*T1^10*T2^9 + 6*T1^11*T2^9 - 3*T1^12*T2^9 - 
      2*T1^4*T2^10 + 4*T1^5*T2^10 - T1^6*T2^10 - T1^7*T2^10 + T1^8*T2^10 - 
      5*T1^9*T2^10 + 3*T1^10*T2^10 - 4*T1^11*T2^10 + 2*T1^12*T2^10 - 
      2*T1^6*T2^11 + 4*T1^7*T2^11 - 4*T1^8*T2^11 + 6*T1^9*T2^11 - 
      4*T1^10*T2^11 + 4*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 
      2*T1^7*T2^12 + 2*T1^8*T2^12 - 3*T1^9*T2^12 + 2*T1^10*T2^12 - 
      2*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 71] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-33 + 82*T1 - 115*T1^2 + 82*T1^3 - 33*T1^4 + 82*T2 - 150*T1*T2 + 
      152*T1^2*T2 - 16*T1^3*T2 - 52*T1^4*T2 + 54*T1^5*T2 - 115*T2^2 + 
      152*T1*T2^2 - 121*T1^2*T2^2 - 67*T1^3*T2^2 + 89*T1^4*T2^2 - 
      58*T1^5*T2^2 - 31*T1^6*T2^2 + 82*T2^3 - 16*T1*T2^3 - 67*T1^2*T2^3 + 
      228*T1^3*T2^3 - 122*T1^4*T2^3 + 3*T1^5*T2^3 + 102*T1^6*T2^3 - 
      10*T1^7*T2^3 - 33*T2^4 - 52*T1*T2^4 + 89*T1^2*T2^4 - 122*T1^3*T2^4 - 
      60*T1^4*T2^4 + 158*T1^5*T2^4 - 143*T1^6*T2^4 - 12*T1^7*T2^4 + 
      15*T1^8*T2^4 + 54*T1*T2^5 - 58*T1^2*T2^5 + 3*T1^3*T2^5 + 
      158*T1^4*T2^5 - 192*T1^5*T2^5 + 73*T1^6*T2^5 + 60*T1^7*T2^5 - 
      38*T1^8*T2^5 - 31*T1^2*T2^6 + 102*T1^3*T2^6 - 143*T1^4*T2^6 + 
      73*T1^5*T2^6 + 67*T1^6*T2^6 - 108*T1^7*T2^6 + 53*T1^8*T2^6 - 
      10*T1^3*T2^7 - 12*T1^4*T2^7 + 60*T1^5*T2^7 - 108*T1^6*T2^7 + 
      86*T1^7*T2^7 - 38*T1^8*T2^7 + 15*T1^4*T2^8 - 38*T1^5*T2^8 + 
      53*T1^6*T2^8 - 38*T1^7*T2^8 + 15*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 72] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-41 + 142*T1 - 181*T1^2 + 142*T1^3 - 41*T1^4 + 142*T2 - 386*T1*T2 + 
       260*T1^2*T2 - 28*T1^3*T2 - 224*T1^4*T2 + 106*T1^5*T2 - 181*T2^2 + 
       260*T1*T2^2 + 411*T1^2*T2^2 - 765*T1^3*T2^2 + 789*T1^4*T2^2 - 
       118*T1^5*T2^2 - 73*T1^6*T2^2 + 142*T2^3 - 28*T1*T2^3 - 765*T1^2*T2^3 + 
       752*T1^3*T2^3 - 382*T1^4*T2^3 - 387*T1^5*T2^3 + 218*T1^6*T2^3 + 
       10*T1^7*T2^3 - 41*T2^4 - 224*T1*T2^4 + 789*T1^2*T2^4 - 382*T1^3*T2^4 - 
       180*T1^4*T2^4 + 626*T1^5*T2^4 - 171*T1^6*T2^4 - 56*T1^7*T2^4 + 
       7*T1^8*T2^4 + 106*T1*T2^5 - 118*T1^2*T2^5 - 387*T1^3*T2^5 + 
       626*T1^4*T2^5 - 508*T1^5*T2^5 - 9*T1^6*T2^5 + 128*T1^7*T2^5 - 
       26*T1^8*T2^5 - 73*T1^2*T2^6 + 218*T1^3*T2^6 - 171*T1^4*T2^6 - 
       9*T1^5*T2^6 + 207*T1^6*T2^6 - 160*T1^7*T2^6 + 35*T1^8*T2^6 + 
       10*T1^3*T2^7 - 56*T1^4*T2^7 + 128*T1^5*T2^7 - 160*T1^6*T2^7 + 
       106*T1^7*T2^7 - 26*T1^8*T2^7 + 7*T1^4*T2^8 - 26*T1^5*T2^8 + 
       35*T1^6*T2^8 - 26*T1^7*T2^8 + 7*T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 73] -> 
  {(1 - T + T^2)^2/T^2, (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*
     (1 - T1*T2 + T1^2*T2^2)*(-1 + T1 - T1^2 + T2 + 2*T1^2*T2 - T2^2 + 
      2*T1*T2^2 - 6*T1^2*T2^2 + T1^4*T2^2 + 2*T1^3*T2^3 - T1^4*T2^3 + 
      T1^2*T2^4 - T1^3*T2^4 + T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 74] -> {(1 - T + T^2)^2/T^2, 
   (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-1 + T1 - T1^2 + T2 + 2*T1^2*T2 - T2^2 + 2*T1*T2^2 - 6*T1^2*T2^2 + 
      T1^4*T2^2 + 2*T1^3*T2^3 - T1^4*T2^3 + T1^2*T2^4 - T1^3*T2^4 + 
      T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 75] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 38*T1 - 53*T1^2 + 38*T1^3 - 15*T1^4 + 38*T2 - 86*T1*T2 + 
      108*T1^2*T2 - 60*T1^3*T2 + 12*T1^4*T2 + 10*T1^5*T2 - 53*T2^2 + 
      108*T1*T2^2 - 67*T1^2*T2^2 - 73*T1^3*T2^2 + 143*T1^4*T2^2 - 
      102*T1^5*T2^2 + 31*T1^6*T2^2 + 38*T2^3 - 60*T1*T2^3 - 73*T1^2*T2^3 + 
      192*T1^3*T2^3 - 158*T1^4*T2^3 - 3*T1^5*T2^3 + 58*T1^6*T2^3 - 
      54*T1^7*T2^3 - 15*T2^4 + 12*T1*T2^4 + 143*T1^2*T2^4 - 158*T1^3*T2^4 + 
      60*T1^4*T2^4 + 122*T1^5*T2^4 - 89*T1^6*T2^4 + 52*T1^7*T2^4 + 
      33*T1^8*T2^4 + 10*T1*T2^5 - 102*T1^2*T2^5 - 3*T1^3*T2^5 + 
      122*T1^4*T2^5 - 228*T1^5*T2^5 + 67*T1^6*T2^5 + 16*T1^7*T2^5 - 
      82*T1^8*T2^5 + 31*T1^2*T2^6 + 58*T1^3*T2^6 - 89*T1^4*T2^6 + 
      67*T1^5*T2^6 + 121*T1^6*T2^6 - 152*T1^7*T2^6 + 115*T1^8*T2^6 - 
      54*T1^3*T2^7 + 52*T1^4*T2^7 + 16*T1^5*T2^7 - 152*T1^6*T2^7 + 
      150*T1^7*T2^7 - 82*T1^8*T2^7 + 33*T1^4*T2^8 - 82*T1^5*T2^8 + 
      115*T1^6*T2^8 - 82*T1^7*T2^8 + 33*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 76] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-2 + 4*T1 - 6*T1^2 + 6*T1^3 - 6*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
      7*T1*T2 + 10*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 5*T1^5*T2 + 2*T1^6*T2 + 
      T1^7*T2 - 6*T2^2 + 10*T1*T2^2 - 12*T1^2*T2^2 + 10*T1^3*T2^2 - 
      10*T1^4*T2^2 + T1^5*T2^2 + 6*T1^6*T2^2 - 8*T1^7*T2^2 + 3*T1^8*T2^2 + 
      6*T2^3 - 9*T1*T2^3 + 10*T1^2*T2^3 - 7*T1^3*T2^3 + 7*T1^4*T2^3 + 
      T1^5*T2^3 - 4*T1^6*T2^3 + T1^7*T2^3 + 6*T1^8*T2^3 - 6*T1^9*T2^3 - 
      6*T2^4 + 9*T1*T2^4 - 10*T1^2*T2^4 + 7*T1^3*T2^4 - 8*T1^4*T2^4 - 
      T1^5*T2^4 + 7*T1^6*T2^4 - 8*T1^7*T2^4 + 5*T1^8*T2^4 - 6*T1^9*T2^4 + 
      9*T1^10*T2^4 + 4*T2^5 - 5*T1*T2^5 + T1^2*T2^5 + T1^3*T2^5 - T1^4*T2^5 + 
      5*T1^5*T2^5 - 7*T1^6*T2^5 - T1^7*T2^5 + 4*T1^8*T2^5 - 5*T1^9*T2^5 - 
      9*T1^11*T2^5 - 2*T2^6 + 2*T1*T2^6 + 6*T1^2*T2^6 - 4*T1^3*T2^6 + 
      7*T1^4*T2^6 - 7*T1^5*T2^6 + 12*T1^6*T2^6 - T1^7*T2^6 + 7*T1^8*T2^6 - 
      4*T1^9*T2^6 + 8*T1^10*T2^6 + 6*T1^11*T2^6 + 6*T1^12*T2^6 + T1*T2^7 - 
      8*T1^2*T2^7 + T1^3*T2^7 - 8*T1^4*T2^7 - T1^5*T2^7 - T1^6*T2^7 - 
      13*T1^7*T2^7 - T1^8*T2^7 - 5*T1^9*T2^7 - 5*T1^10*T2^7 - 3*T1^11*T2^7 - 
      12*T1^12*T2^7 + 3*T1^2*T2^8 + 6*T1^3*T2^8 + 5*T1^4*T2^8 + 4*T1^5*T2^8 + 
      7*T1^6*T2^8 - T1^7*T2^8 + 22*T1^8*T2^8 - 11*T1^9*T2^8 + 20*T1^10*T2^8 - 
      9*T1^11*T2^8 + 18*T1^12*T2^8 - 6*T1^3*T2^9 - 6*T1^4*T2^9 - 
      5*T1^5*T2^9 - 4*T1^6*T2^9 - 5*T1^7*T2^9 - 11*T1^8*T2^9 - T1^9*T2^9 - 
      14*T1^10*T2^9 + 9*T1^11*T2^9 - 18*T1^12*T2^9 + 9*T1^4*T2^10 + 
      8*T1^6*T2^10 - 5*T1^7*T2^10 + 20*T1^8*T2^10 - 14*T1^9*T2^10 + 
      26*T1^10*T2^10 - 18*T1^11*T2^10 + 18*T1^12*T2^10 - 9*T1^5*T2^11 + 
      6*T1^6*T2^11 - 3*T1^7*T2^11 - 9*T1^8*T2^11 + 9*T1^9*T2^11 - 
      18*T1^10*T2^11 + 15*T1^11*T2^11 - 12*T1^12*T2^11 + 6*T1^6*T2^12 - 
      12*T1^7*T2^12 + 18*T1^8*T2^12 - 18*T1^9*T2^12 + 18*T1^10*T2^12 - 
      12*T1^11*T2^12 + 6*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 77] -> 
  {((1 - T + T^2)^2*(1 + T - 3*T^2 + T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-8 + 24*T1^2 - 40*T1^3 + 24*T1^4 - 8*T1^6 - T1*T2 + 3*T1^3*T2 - 
      5*T1^4*T2 + 3*T1^5*T2 - T1^7*T2 + 24*T2^2 - 53*T1^2*T2^2 + 
      114*T1^3*T2^2 - 119*T1^4*T2^2 + 89*T1^5*T2^2 - 33*T1^6*T2^2 + 
      19*T1^8*T2^2 - 40*T2^3 + 3*T1*T2^3 + 114*T1^2*T2^3 - 195*T1^3*T2^3 + 
      113*T1^4*T2^3 + 29*T1^5*T2^3 - 106*T1^6*T2^3 + 57*T1^7*T2^3 - 
      20*T1^9*T2^3 + 24*T2^4 - 5*T1*T2^4 - 119*T1^2*T2^4 + 113*T1^3*T2^4 + 
      65*T1^4*T2^4 - 228*T1^5*T2^4 + 166*T1^6*T2^4 - 2*T1^7*T2^4 - 
      62*T1^8*T2^4 + 5*T1^10*T2^4 + 3*T1*T2^5 + 89*T1^2*T2^5 + 29*T1^3*T2^5 - 
      228*T1^4*T2^5 + 263*T1^5*T2^5 - 9*T1^6*T2^5 - 138*T1^7*T2^5 + 
      78*T1^8*T2^5 + 51*T1^9*T2^5 + T1^11*T2^5 - 8*T2^6 - 33*T1^2*T2^6 - 
      106*T1^3*T2^6 + 166*T1^4*T2^6 - 9*T1^5*T2^6 - 240*T1^6*T2^6 + 
      201*T1^7*T2^6 - 26*T1^8*T2^6 - 66*T1^9*T2^6 - 15*T1^10*T2^6 - T1*T2^7 + 
      57*T1^3*T2^7 - 2*T1^4*T2^7 - 138*T1^5*T2^7 + 201*T1^6*T2^7 - 
      71*T1^7*T2^7 - 48*T1^8*T2^7 + 47*T1^9*T2^7 + 19*T1^10*T2^7 - 
      3*T1^11*T2^7 + 19*T1^2*T2^8 - 62*T1^4*T2^8 + 78*T1^5*T2^8 - 
      26*T1^6*T2^8 - 48*T1^7*T2^8 + 75*T1^8*T2^8 - 37*T1^9*T2^8 - 
      5*T1^10*T2^8 + 5*T1^11*T2^8 - 20*T1^3*T2^9 + 51*T1^5*T2^9 - 
      66*T1^6*T2^9 + 47*T1^7*T2^9 - 37*T1^8*T2^9 + 23*T1^9*T2^9 - 
      6*T1^10*T2^9 - 3*T1^11*T2^9 + 5*T1^4*T2^10 - 15*T1^6*T2^10 + 
      19*T1^7*T2^10 - 5*T1^8*T2^10 - 6*T1^9*T2^10 + 5*T1^10*T2^10 + 
      T1^5*T2^11 - 3*T1^7*T2^11 + 5*T1^8*T2^11 - 3*T1^9*T2^11 + T1^11*T2^11))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, NonAlternating, 78] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-6 + 12*T1 - 18*T1^2 + 18*T1^3 - 18*T1^4 + 12*T1^5 - 6*T1^6 + 12*T2 - 
      15*T1*T2 + 18*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 + 3*T1^5*T2 - 6*T1^6*T2 + 
      9*T1^7*T2 - 18*T2^2 + 18*T1*T2^2 - 26*T1^2*T2^2 + 14*T1^3*T2^2 - 
      20*T1^4*T2^2 + 5*T1^5*T2^2 - 8*T1^6*T2^2 - 9*T1^8*T2^2 + 18*T2^3 - 
      9*T1*T2^3 + 14*T1^2*T2^3 + T1^3*T2^3 + 11*T1^4*T2^3 + 5*T1^5*T2^3 + 
      4*T1^6*T2^3 + 5*T1^7*T2^3 + 6*T1^8*T2^3 + 6*T1^9*T2^3 - 18*T2^4 + 
      9*T1*T2^4 - 20*T1^2*T2^4 + 11*T1^3*T2^4 - 22*T1^4*T2^4 + T1^5*T2^4 - 
      7*T1^6*T2^4 - 4*T1^7*T2^4 - 5*T1^8*T2^4 - 6*T1^9*T2^4 - 3*T1^10*T2^4 + 
      12*T2^5 + 3*T1*T2^5 + 5*T1^2*T2^5 + 5*T1^3*T2^5 + T1^4*T2^5 + 
      13*T1^5*T2^5 + T1^6*T2^5 + T1^7*T2^5 + 8*T1^8*T2^5 - T1^9*T2^5 + 
      8*T1^10*T2^5 - T1^11*T2^5 - 6*T2^6 - 6*T1*T2^6 - 8*T1^2*T2^6 + 
      4*T1^3*T2^6 - 7*T1^4*T2^6 + T1^5*T2^6 - 12*T1^6*T2^6 + 7*T1^7*T2^6 - 
      7*T1^8*T2^6 + 4*T1^9*T2^6 - 6*T1^10*T2^6 - 2*T1^11*T2^6 + 
      2*T1^12*T2^6 + 9*T1*T2^7 + 5*T1^3*T2^7 - 4*T1^4*T2^7 + T1^5*T2^7 + 
      7*T1^6*T2^7 - 5*T1^7*T2^7 + T1^8*T2^7 - T1^9*T2^7 - T1^10*T2^7 + 
      5*T1^11*T2^7 - 4*T1^12*T2^7 - 9*T1^2*T2^8 + 6*T1^3*T2^8 - 5*T1^4*T2^8 + 
      8*T1^5*T2^8 - 7*T1^6*T2^8 + T1^7*T2^8 + 8*T1^8*T2^8 - 7*T1^9*T2^8 + 
      10*T1^10*T2^8 - 9*T1^11*T2^8 + 6*T1^12*T2^8 + 6*T1^3*T2^9 - 
      6*T1^4*T2^9 - T1^5*T2^9 + 4*T1^6*T2^9 - T1^7*T2^9 - 7*T1^8*T2^9 + 
      7*T1^9*T2^9 - 10*T1^10*T2^9 + 9*T1^11*T2^9 - 6*T1^12*T2^9 - 
      3*T1^4*T2^10 + 8*T1^5*T2^10 - 6*T1^6*T2^10 - T1^7*T2^10 + 
      10*T1^8*T2^10 - 10*T1^9*T2^10 + 12*T1^10*T2^10 - 10*T1^11*T2^10 + 
      6*T1^12*T2^10 - T1^5*T2^11 - 2*T1^6*T2^11 + 5*T1^7*T2^11 - 
      9*T1^8*T2^11 + 9*T1^9*T2^11 - 10*T1^10*T2^11 + 7*T1^11*T2^11 - 
      4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 + 6*T1^8*T2^12 - 
      6*T1^9*T2^12 + 6*T1^10*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, NonAlternating, 79] -> 
  {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((-25 + 50*T1 - 37*T1^2 + 50*T1^3 - 25*T1^4 + 50*T2 - 66*T1*T2 + 
      6*T1^2*T2 - 50*T1^3*T2 - 18*T1^4*T2 + 34*T1^5*T2 - 37*T2^2 + 
      6*T1*T2^2 + 80*T1^2*T2^2 - 34*T1^3*T2^2 + 92*T1^4*T2^2 - 42*T1^5*T2^2 - 
      13*T1^6*T2^2 + 50*T2^3 - 50*T1*T2^3 - 34*T1^2*T2^3 - 18*T1^3*T2^3 + 
      42*T1^4*T2^3 - 34*T1^5*T2^3 + 22*T1^6*T2^3 + 2*T1^7*T2^3 - 25*T2^4 - 
      18*T1*T2^4 + 92*T1^2*T2^4 + 42*T1^3*T2^4 - 120*T1^4*T2^4 + 
      10*T1^5*T2^4 + 12*T1^6*T2^4 - 18*T1^7*T2^4 + 7*T1^8*T2^4 + 34*T1*T2^5 - 
      42*T1^2*T2^5 - 34*T1^3*T2^5 + 10*T1^4*T2^5 + 70*T1^5*T2^5 - 
      34*T1^6*T2^5 + 30*T1^7*T2^5 - 14*T1^8*T2^5 - 13*T1^2*T2^6 + 
      22*T1^3*T2^6 + 12*T1^4*T2^6 - 34*T1^5*T2^6 + 24*T1^6*T2^6 - 
      26*T1^7*T2^6 + 11*T1^8*T2^6 + 2*T1^3*T2^7 - 18*T1^4*T2^7 + 
      30*T1^5*T2^7 - 26*T1^6*T2^7 + 30*T1^7*T2^7 - 14*T1^8*T2^7 + 
      7*T1^4*T2^8 - 14*T1^5*T2^8 + 11*T1^6*T2^8 - 14*T1^7*T2^8 + 7*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 80] -> 
  {-((1 - T - 5*T^2 + 9*T^3 - 5*T^4 - T^5 + T^6)/T^3), 
   -((-1 + T1 + 5*T1^2 - 9*T1^3 + 5*T1^4 + T1^5 - T1^6 + T2 - 3*T1*T2 + 
      2*T1^2*T2 + 5*T1^3*T2 - 9*T1^4*T2 + 6*T1^5*T2 - T1^6*T2 + 5*T2^2 + 
      2*T1*T2^2 - 53*T1^2*T2^2 + 64*T1^3*T2^2 - 11*T1^4*T2^2 - 36*T1^5*T2^2 + 
      7*T1^6*T2^2 + 12*T1^7*T2^2 - 5*T1^8*T2^2 - 9*T2^3 + 5*T1*T2^3 + 
      64*T1^2*T2^3 - 72*T1^3*T2^3 + 15*T1^4*T2^3 - 23*T1^5*T2^3 + 
      124*T1^6*T2^3 - 81*T1^7*T2^3 - 17*T1^8*T2^3 + 18*T1^9*T2^3 + 5*T2^4 - 
      9*T1*T2^4 - 11*T1^2*T2^4 + 15*T1^3*T2^4 - 52*T1^4*T2^4 + 
      110*T1^5*T2^4 - 112*T1^6*T2^4 - 57*T1^7*T2^4 + 107*T1^8*T2^4 - 
      7*T1^9*T2^4 - 15*T1^10*T2^4 + T2^5 + 6*T1*T2^5 - 36*T1^2*T2^5 - 
      23*T1^3*T2^5 + 110*T1^4*T2^5 + 185*T1^5*T2^5 - 495*T1^6*T2^5 + 
      435*T1^7*T2^5 - 53*T1^8*T2^5 - 71*T1^9*T2^5 + 26*T1^10*T2^5 - 
      4*T1^11*T2^5 - T2^6 - T1*T2^6 + 7*T1^2*T2^6 + 124*T1^3*T2^6 - 
      112*T1^4*T2^6 - 495*T1^5*T2^6 + 600*T1^6*T2^6 - 25*T1^7*T2^6 - 
      406*T1^8*T2^6 + 108*T1^9*T2^6 + 23*T1^10*T2^6 - 3*T1^11*T2^6 + 
      5*T1^12*T2^6 + 12*T1^2*T2^7 - 81*T1^3*T2^7 - 57*T1^4*T2^7 + 
      435*T1^5*T2^7 - 25*T1^6*T2^7 - 705*T1^7*T2^7 + 760*T1^8*T2^7 - 
      87*T1^9*T2^7 - 116*T1^10*T2^7 + 32*T1^11*T2^7 - 5*T1^12*T2^7 - 
      5*T1^2*T2^8 - 17*T1^3*T2^8 + 107*T1^4*T2^8 - 53*T1^5*T2^8 - 
      406*T1^6*T2^8 + 760*T1^7*T2^8 - 466*T1^8*T2^8 - 125*T1^9*T2^8 + 
      225*T1^10*T2^8 - 15*T1^11*T2^8 - 25*T1^12*T2^8 + 18*T1^3*T2^9 - 
      7*T1^4*T2^9 - 71*T1^5*T2^9 + 108*T1^6*T2^9 - 87*T1^7*T2^9 - 
      125*T1^8*T2^9 + 304*T1^9*T2^9 - 216*T1^10*T2^9 - 29*T1^11*T2^9 + 
      45*T1^12*T2^9 - 15*T1^4*T2^10 + 26*T1^5*T2^10 + 23*T1^6*T2^10 - 
      116*T1^7*T2^10 + 225*T1^8*T2^10 - 216*T1^9*T2^10 + 83*T1^10*T2^10 + 
      36*T1^11*T2^10 - 25*T1^12*T2^10 - 4*T1^5*T2^11 - 3*T1^6*T2^11 + 
      32*T1^7*T2^11 - 15*T1^8*T2^11 - 29*T1^9*T2^11 + 36*T1^10*T2^11 - 
      T1^11*T2^11 - 5*T1^12*T2^11 + 5*T1^6*T2^12 - 5*T1^7*T2^12 - 
      25*T1^8*T2^12 + 45*T1^9*T2^12 - 25*T1^10*T2^12 - 5*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 81] -> 
  {-(((1 - T + T^2)^2*(1 - T - T^2 - T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-7 + 14*T1 - 7*T1^2 + 7*T1^3 - 7*T1^4 + 14*T1^5 - 7*T1^6 + 14*T2 - 
       17*T1*T2 - 8*T1^2*T2 - 3*T1^3*T2 + 3*T1^4*T2 - 17*T1^5*T2 - 
       8*T1^6*T2 + 11*T1^7*T2 - 7*T2^2 - 8*T1*T2^2 + 36*T1^2*T2^2 - 
       13*T1^3*T2^2 + 12*T1^4*T2^2 - 8*T1^5*T2^2 + 36*T1^6*T2^2 - 
       18*T1^7*T2^2 - 2*T1^8*T2^2 + 7*T2^3 - 3*T1*T2^3 - 13*T1^2*T2^3 + 
       3*T1^3*T2^3 - 4*T1^4*T2^3 - 2*T1^5*T2^3 - 10*T1^6*T2^3 + 4*T1^7*T2^3 - 
       2*T1^8*T2^3 + 3*T1^9*T2^3 - 7*T2^4 + 3*T1*T2^4 + 12*T1^2*T2^4 - 
       4*T1^3*T2^4 + 4*T1^4*T2^4 + 7*T1^5*T2^4 + 9*T1^6*T2^4 - 7*T1^7*T2^4 + 
       5*T1^8*T2^4 + 2*T1^9*T2^4 - 4*T1^10*T2^4 + 14*T2^5 - 17*T1*T2^5 - 
       8*T1^2*T2^5 - 2*T1^3*T2^5 + 7*T1^4*T2^5 - 23*T1^5*T2^5 + 5*T1^6*T2^5 + 
       3*T1^7*T2^5 + 5*T1^8*T2^5 - 14*T1^9*T2^5 + 6*T1^10*T2^5 + T1^11*T2^5 - 
       7*T2^6 - 8*T1*T2^6 + 36*T1^2*T2^6 - 10*T1^3*T2^6 + 9*T1^4*T2^6 + 
       5*T1^5*T2^6 - 13*T1^7*T2^6 - 3*T1^8*T2^6 + 6*T1^9*T2^6 + 
       2*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 + 11*T1*T2^7 - 18*T1^2*T2^7 + 
       4*T1^3*T2^7 - 7*T1^4*T2^7 + 3*T1^5*T2^7 - 13*T1^6*T2^7 + 
       15*T1^7*T2^7 - T1^8*T2^7 - 2*T1^10*T2^7 + 5*T1^11*T2^7 - 
       2*T1^12*T2^7 - 2*T1^2*T2^8 - 2*T1^3*T2^8 + 5*T1^4*T2^8 + 5*T1^5*T2^8 - 
       3*T1^6*T2^8 - T1^7*T2^8 + 2*T1^8*T2^8 + 2*T1^9*T2^8 - 2*T1^10*T2^8 - 
       3*T1^11*T2^8 + T1^12*T2^8 + 3*T1^3*T2^9 + 2*T1^4*T2^9 - 14*T1^5*T2^9 + 
       6*T1^6*T2^9 + 2*T1^8*T2^9 - 7*T1^9*T2^9 + 3*T1^10*T2^9 + 
       3*T1^11*T2^9 - T1^12*T2^9 - 4*T1^4*T2^10 + 6*T1^5*T2^10 + 
       2*T1^6*T2^10 - 2*T1^7*T2^10 - 2*T1^8*T2^10 + 3*T1^9*T2^10 + 
       2*T1^10*T2^10 - 4*T1^11*T2^10 + T1^12*T2^10 + T1^5*T2^11 - 
       4*T1^6*T2^11 + 5*T1^7*T2^11 - 3*T1^8*T2^11 + 3*T1^9*T2^11 - 
       4*T1^10*T2^11 + 5*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 
       2*T1^7*T2^12 + T1^8*T2^12 - T1^9*T2^12 + T1^10*T2^12 - 2*T1^11*T2^12 + 
       T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 82] -> 
  {(1 - 3*T + 4*T^2 - 3*T^3 + 4*T^4 - 3*T^5 + T^6)/T^3, 
   (-4 + 12*T1 - 16*T1^2 + 12*T1^3 - 16*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 21*T1^2*T2 + 21*T1^4*T2 - 15*T1^6*T2 + 9*T1^7*T2 - 16*T2^2 + 
     21*T1*T2^2 + 10*T1^2*T2^2 - 40*T1^3*T2^2 - 8*T1^4*T2^2 - 40*T1^5*T2^2 + 
     34*T1^6*T2^2 - 3*T1^7*T2^2 - 8*T1^8*T2^2 + 12*T2^3 - 40*T1^2*T2^3 + 
     47*T1^3*T2^3 + 18*T1^4*T2^3 + 39*T1^5*T2^3 - T1^6*T2^3 - 28*T1^7*T2^3 + 
     15*T1^8*T2^3 + 3*T1^9*T2^3 - 16*T2^4 + 21*T1*T2^4 - 8*T1^2*T2^4 + 
     18*T1^3*T2^4 - 65*T1^4*T2^4 + 5*T1^5*T2^4 - 17*T1^6*T2^4 + 
     24*T1^7*T2^4 + 2*T1^8*T2^4 - 9*T1^9*T2^4 + 12*T2^5 - 40*T1^2*T2^5 + 
     39*T1^3*T2^5 + 5*T1^4*T2^5 + 49*T1^5*T2^5 - 59*T1^6*T2^5 + 5*T1^7*T2^5 - 
     12*T1^8*T2^5 - 4*T1^9*T2^5 + 9*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 
     15*T1*T2^6 + 34*T1^2*T2^6 - T1^3*T2^6 - 17*T1^4*T2^6 - 59*T1^5*T2^6 + 
     60*T1^6*T2^6 + 31*T1^7*T2^6 - 5*T1^8*T2^6 + 29*T1^9*T2^6 - 
     18*T1^10*T2^6 + 3*T1^11*T2^6 + 2*T1^12*T2^6 + 9*T1*T2^7 - 3*T1^2*T2^7 - 
     28*T1^3*T2^7 + 24*T1^4*T2^7 + 5*T1^5*T2^7 + 31*T1^6*T2^7 - 
     77*T1^7*T2^7 + 5*T1^8*T2^7 - 27*T1^9*T2^7 + 8*T1^10*T2^7 + 
     6*T1^11*T2^7 - 6*T1^12*T2^7 - 8*T1^2*T2^8 + 15*T1^3*T2^8 + 2*T1^4*T2^8 - 
     12*T1^5*T2^8 - 5*T1^6*T2^8 + 5*T1^7*T2^8 + 43*T1^8*T2^8 - 6*T1^9*T2^8 + 
     12*T1^10*T2^8 - 15*T1^11*T2^8 + 8*T1^12*T2^8 + 3*T1^3*T2^9 - 
     9*T1^4*T2^9 - 4*T1^5*T2^9 + 29*T1^6*T2^9 - 27*T1^7*T2^9 - 6*T1^8*T2^9 - 
     19*T1^9*T2^9 + 8*T1^10*T2^9 + 6*T1^11*T2^9 - 6*T1^12*T2^9 + 
     9*T1^5*T2^10 - 18*T1^6*T2^10 + 8*T1^7*T2^10 + 12*T1^8*T2^10 + 
     8*T1^9*T2^10 + 6*T1^10*T2^10 - 15*T1^11*T2^10 + 8*T1^12*T2^10 - 
     3*T1^5*T2^11 + 3*T1^6*T2^11 + 6*T1^7*T2^11 - 15*T1^8*T2^11 + 
     6*T1^9*T2^11 - 15*T1^10*T2^11 + 15*T1^11*T2^11 - 6*T1^12*T2^11 + 
     2*T1^6*T2^12 - 6*T1^7*T2^12 + 8*T1^8*T2^12 - 6*T1^9*T2^12 + 
     8*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 83] -> 
  {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   (-51 + 204*T1 - 323*T1^2 + 204*T1^3 - 51*T1^4 + 204*T2 - 722*T1*T2 + 
     908*T1^2*T2 - 208*T1^3*T2 - 182*T1^4*T2 + 96*T1^5*T2 - 323*T2^2 + 
     908*T1*T2^2 - 465*T1^2*T2^2 - 1251*T1^3*T2^2 + 1359*T1^4*T2^2 - 
     460*T1^5*T2^2 + 19*T1^6*T2^2 + 204*T2^3 - 208*T1*T2^3 - 1251*T1^2*T2^3 + 
     3240*T1^3*T2^3 - 2208*T1^4*T2^3 + 117*T1^5*T2^3 + 404*T1^6*T2^3 - 
     120*T1^7*T2^3 - 51*T2^4 - 182*T1*T2^4 + 1359*T1^2*T2^4 - 
     2208*T1^3*T2^4 + 324*T1^4*T2^4 + 1968*T1^5*T2^4 - 1413*T1^6*T2^4 + 
     250*T1^7*T2^4 + 57*T1^8*T2^4 + 96*T1*T2^5 - 460*T1^2*T2^5 + 
     117*T1^3*T2^5 + 1968*T1^4*T2^5 - 3480*T1^5*T2^5 + 1485*T1^6*T2^5 + 
     152*T1^7*T2^5 - 228*T1^8*T2^5 + 19*T1^2*T2^6 + 404*T1^3*T2^6 - 
     1413*T1^4*T2^6 + 1485*T1^5*T2^6 + 411*T1^6*T2^6 - 964*T1^7*T2^6 + 
     361*T1^8*T2^6 - 120*T1^3*T2^7 + 250*T1^4*T2^7 + 152*T1^5*T2^7 - 
     964*T1^6*T2^7 + 790*T1^7*T2^7 - 228*T1^8*T2^7 + 57*T1^4*T2^8 - 
     228*T1^5*T2^8 + 361*T1^6*T2^8 - 228*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 84] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   -((-5 + 23*T1 - 35*T1^2 + 23*T1^3 - 5*T1^4 + 23*T2 - 116*T1*T2 + 
      214*T1^2*T2 - 182*T1^3*T2 + 82*T1^4*T2 - 13*T1^5*T2 - 35*T2^2 + 
      214*T1*T2^2 - 426*T1^2*T2^2 + 200*T1^3*T2^2 + 146*T1^4*T2^2 - 
      254*T1^5*T2^2 + 69*T1^6*T2^2 + 23*T2^3 - 182*T1*T2^3 + 200*T1^2*T2^3 + 
      731*T1^3*T2^3 - 1249*T1^4*T2^3 + 785*T1^5*T2^3 + 70*T1^6*T2^3 - 
      85*T1^7*T2^3 - 5*T2^4 + 82*T1*T2^4 + 146*T1^2*T2^4 - 1249*T1^3*T2^4 + 
      924*T1^4*T2^4 + 389*T1^5*T2^4 - 1104*T1^6*T2^4 + 262*T1^7*T2^4 + 
      27*T1^8*T2^4 - 13*T1*T2^5 - 254*T1^2*T2^5 + 785*T1^3*T2^5 + 
      389*T1^4*T2^5 - 1591*T1^5*T2^5 + 1370*T1^6*T2^5 - 2*T1^7*T2^5 - 
      121*T1^8*T2^5 + 69*T1^2*T2^6 + 70*T1^3*T2^6 - 1104*T1^4*T2^6 + 
      1370*T1^5*T2^6 - 532*T1^6*T2^6 - 398*T1^7*T2^6 + 173*T1^8*T2^6 - 
      85*T1^3*T2^7 + 262*T1^4*T2^7 - 2*T1^5*T2^7 - 398*T1^6*T2^7 + 
      460*T1^7*T2^7 - 121*T1^8*T2^7 + 27*T1^4*T2^8 - 121*T1^5*T2^8 + 
      173*T1^6*T2^8 - 121*T1^7*T2^8 + 27*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 85] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -((-3 + 15*T1 - 30*T1^2 + 39*T1^3 - 30*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 100*T1^2*T2 - 95*T1^3*T2 + 20*T1^4*T2 + 25*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 30*T2^2 + 100*T1*T2^2 - 66*T1^2*T2^2 - 
      36*T1^3*T2^2 + 218*T1^4*T2^2 - 196*T1^5*T2^2 + 114*T1^6*T2^2 - 
      10*T1^8*T2^2 + 39*T2^3 - 95*T1*T2^3 - 36*T1^2*T2^3 + 171*T1^3*T2^3 - 
      378*T1^4*T2^3 + 187*T1^5*T2^3 - 33*T1^6*T2^3 - 126*T1^7*T2^3 + 
      50*T1^8*T2^3 - 30*T2^4 + 20*T1*T2^4 + 218*T1^2*T2^4 - 378*T1^3*T2^4 + 
      582*T1^4*T2^4 - 156*T1^5*T2^4 - 98*T1^6*T2^4 + 272*T1^7*T2^4 - 
      32*T1^8*T2^4 - 50*T1^9*T2^4 + 10*T1^10*T2^4 + 15*T2^5 + 25*T1*T2^5 - 
      196*T1^2*T2^5 + 187*T1^3*T2^5 - 156*T1^4*T2^5 - 429*T1^5*T2^5 + 
      461*T1^6*T2^5 - 256*T1^7*T2^5 - 208*T1^8*T2^5 + 174*T1^9*T2^5 - 
      10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 114*T1^2*T2^6 - 33*T1^3*T2^6 - 
      98*T1^4*T2^6 + 461*T1^5*T2^6 - 144*T1^6*T2^6 - 269*T1^7*T2^6 + 
      462*T1^8*T2^6 - 111*T1^9*T2^6 - 126*T1^10*T2^6 + 35*T1^11*T2^6 + 
      3*T1^12*T2^6 + 10*T1*T2^7 - 126*T1^3*T2^7 + 272*T1^4*T2^7 - 
      256*T1^5*T2^7 - 269*T1^6*T2^7 + 621*T1^7*T2^7 - 356*T1^8*T2^7 - 
      123*T1^9*T2^7 + 244*T1^10*T2^7 - 25*T1^11*T2^7 - 15*T1^12*T2^7 - 
      10*T1^2*T2^8 + 50*T1^3*T2^8 - 32*T1^4*T2^8 - 208*T1^5*T2^8 + 
      462*T1^6*T2^8 - 356*T1^7*T2^8 - 218*T1^8*T2^8 + 442*T1^9*T2^8 - 
      282*T1^10*T2^8 - 20*T1^11*T2^8 + 30*T1^12*T2^8 - 50*T1^4*T2^9 + 
      174*T1^5*T2^9 - 111*T1^6*T2^9 - 123*T1^7*T2^9 + 442*T1^8*T2^9 - 
      315*T1^9*T2^9 + 84*T1^10*T2^9 + 95*T1^11*T2^9 - 39*T1^12*T2^9 + 
      10*T1^4*T2^10 - 126*T1^6*T2^10 + 244*T1^7*T2^10 - 282*T1^8*T2^10 + 
      84*T1^9*T2^10 + 54*T1^10*T2^10 - 100*T1^11*T2^10 + 30*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 25*T1^7*T2^11 - 20*T1^8*T2^11 + 
      95*T1^9*T2^11 - 100*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 30*T1^8*T2^12 - 39*T1^9*T2^12 + 
      30*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 86] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((-3 + 12*T1 - 21*T1^2 + 27*T1^3 - 21*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 52*T1^2*T2 - 52*T1^3*T2 + 12*T1^4*T2 + 8*T1^5*T2 - 
      20*T1^6*T2 + 8*T1^7*T2 - 21*T2^2 + 52*T1*T2^2 - 29*T1^2*T2^2 + 
      5*T1^3*T2^2 + 77*T1^4*T2^2 - 65*T1^5*T2^2 + 55*T1^6*T2^2 - 
      4*T1^7*T2^2 - 7*T1^8*T2^2 + 27*T2^3 - 52*T1*T2^3 + 5*T1^2*T2^3 - 
      T1^3*T2^3 - 105*T1^4*T2^3 + 46*T1^5*T2^3 - 39*T1^6*T2^3 - 
      44*T1^7*T2^3 + 28*T1^8*T2^3 - 21*T2^4 + 12*T1*T2^4 + 77*T1^2*T2^4 - 
      105*T1^3*T2^4 + 275*T1^4*T2^4 - 145*T1^5*T2^4 + 83*T1^6*T2^4 + 
      75*T1^7*T2^4 - 15*T1^8*T2^4 - 28*T1^9*T2^4 + 7*T1^10*T2^4 + 12*T2^5 + 
      8*T1*T2^5 - 65*T1^2*T2^5 + 46*T1^3*T2^5 - 145*T1^4*T2^5 - 
      83*T1^5*T2^5 + 101*T1^6*T2^5 - 138*T1^7*T2^5 - 47*T1^8*T2^5 + 
      68*T1^9*T2^5 + 4*T1^10*T2^5 - 8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 
      55*T1^2*T2^6 - 39*T1^3*T2^6 + 83*T1^4*T2^6 + 101*T1^5*T2^6 - 
      24*T1^6*T2^6 - 29*T1^7*T2^6 + 137*T1^8*T2^6 - 37*T1^9*T2^6 - 
      61*T1^10*T2^6 + 20*T1^11*T2^6 + 3*T1^12*T2^6 + 8*T1*T2^7 - 
      4*T1^2*T2^7 - 44*T1^3*T2^7 + 75*T1^4*T2^7 - 138*T1^5*T2^7 - 
      29*T1^6*T2^7 + 155*T1^7*T2^7 - 131*T1^8*T2^7 - 18*T1^9*T2^7 + 
      89*T1^10*T2^7 - 8*T1^11*T2^7 - 12*T1^12*T2^7 - 7*T1^2*T2^8 + 
      28*T1^3*T2^8 - 15*T1^4*T2^8 - 47*T1^5*T2^8 + 137*T1^6*T2^8 - 
      131*T1^7*T2^8 - 55*T1^8*T2^8 + 133*T1^9*T2^8 - 107*T1^10*T2^8 - 
      12*T1^11*T2^8 + 21*T1^12*T2^8 - 28*T1^4*T2^9 + 68*T1^5*T2^9 - 
      37*T1^6*T2^9 - 18*T1^7*T2^9 + 133*T1^8*T2^9 - 75*T1^9*T2^9 + 
      19*T1^10*T2^9 + 52*T1^11*T2^9 - 27*T1^12*T2^9 + 7*T1^4*T2^10 + 
      4*T1^5*T2^10 - 61*T1^6*T2^10 + 89*T1^7*T2^10 - 107*T1^8*T2^10 + 
      19*T1^9*T2^10 + 23*T1^10*T2^10 - 52*T1^11*T2^10 + 21*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 8*T1^7*T2^11 - 12*T1^8*T2^11 + 
      52*T1^9*T2^11 - 52*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 
      3*T1^6*T2^12 - 12*T1^7*T2^12 + 21*T1^8*T2^12 - 27*T1^9*T2^12 + 
      21*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 87] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-2 + 10*T1 - 24*T1^2 + 30*T1^3 - 24*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 95*T1^2*T2 - 90*T1^3*T2 + 45*T1^4*T2 + 10*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 24*T2^2 + 95*T1*T2^2 - 151*T1^2*T2^2 + 
     28*T1^3*T2^2 + 135*T1^4*T2^2 - 212*T1^5*T2^2 + 113*T1^6*T2^2 - 
     25*T1^7*T2^2 + 30*T2^3 - 90*T1*T2^3 + 28*T1^2*T2^3 + 307*T1^3*T2^3 - 
     510*T1^4*T2^3 + 345*T1^5*T2^3 + 7*T1^6*T2^3 - 152*T1^7*T2^3 + 
     75*T1^8*T2^3 - 15*T1^9*T2^3 - 24*T2^4 + 45*T1*T2^4 + 135*T1^2*T2^4 - 
     510*T1^3*T2^4 + 519*T1^4*T2^4 + 71*T1^5*T2^4 - 453*T1^6*T2^4 + 
     420*T1^7*T2^4 - 39*T1^8*T2^4 - 45*T1^9*T2^4 + 24*T1^10*T2^4 + 10*T2^5 + 
     10*T1*T2^5 - 212*T1^2*T2^5 + 345*T1^3*T2^5 + 71*T1^4*T2^5 - 
     1025*T1^5*T2^5 + 925*T1^6*T2^5 - 409*T1^7*T2^5 - 360*T1^8*T2^5 + 
     208*T1^9*T2^5 - 45*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     113*T1^2*T2^6 + 7*T1^3*T2^6 - 453*T1^4*T2^6 + 925*T1^5*T2^6 + 
     180*T1^6*T2^6 - 885*T1^7*T2^6 + 1287*T1^8*T2^6 - 323*T1^9*T2^6 - 
     27*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 152*T1^3*T2^7 + 420*T1^4*T2^7 - 409*T1^5*T2^7 - 
     885*T1^6*T2^7 + 1065*T1^7*T2^7 - 889*T1^8*T2^7 - 285*T1^9*T2^7 + 
     268*T1^10*T2^7 - 80*T1^11*T2^7 - 20*T1^12*T2^7 + 75*T1^3*T2^8 - 
     39*T1^4*T2^8 - 360*T1^5*T2^8 + 1287*T1^6*T2^8 - 889*T1^7*T2^8 + 
     315*T1^8*T2^8 + 570*T1^9*T2^8 - 213*T1^10*T2^8 - 15*T1^11*T2^8 + 
     48*T1^12*T2^8 - 15*T1^3*T2^9 - 45*T1^4*T2^9 + 208*T1^5*T2^9 - 
     323*T1^6*T2^9 - 285*T1^7*T2^9 + 570*T1^8*T2^9 - 623*T1^9*T2^9 + 
     28*T1^10*T2^9 + 120*T1^11*T2^9 - 60*T1^12*T2^9 + 24*T1^4*T2^10 - 
     45*T1^5*T2^10 - 27*T1^6*T2^10 + 268*T1^7*T2^10 - 213*T1^8*T2^10 + 
     28*T1^9*T2^10 + 237*T1^10*T2^10 - 165*T1^11*T2^10 + 48*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 80*T1^7*T2^11 - 15*T1^8*T2^11 + 
     120*T1^9*T2^11 - 165*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 48*T1^8*T2^12 - 60*T1^9*T2^12 + 
     48*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 88] -> 
  {-(((1 - T^2 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-7 + 21*T1 - 14*T1^2 + 7*T1^4 - 14*T1^6 + 21*T1^7 - 7*T1^8 + 21*T2 - 
      45*T1*T2 - 12*T1^2*T2 + 36*T1^3*T2 - 21*T1^4*T2 - 18*T1^5*T2 + 
      42*T1^6*T2 - 27*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 14*T2^2 - 
      12*T1*T2^2 + 123*T1^2*T2^2 - 77*T1^3*T2^2 - 7*T1^4*T2^2 + 
      55*T1^5*T2^2 - 19*T1^6*T2^2 - 65*T1^7*T2^2 + 127*T1^8*T2^2 - 
      24*T1^9*T2^2 - 10*T1^10*T2^2 + 36*T1*T2^3 - 77*T1^2*T2^3 - 
      18*T1^3*T2^3 + 60*T1^4*T2^3 - 36*T1^5*T2^3 - 30*T1^6*T2^3 + 
      72*T1^7*T2^3 - 48*T1^8*T2^3 - 53*T1^9*T2^3 + 30*T1^10*T2^3 + 7*T2^4 - 
      21*T1*T2^4 - 7*T1^2*T2^4 + 60*T1^3*T2^4 - 44*T1^4*T2^4 - 6*T1^5*T2^4 + 
      36*T1^6*T2^4 - 18*T1^7*T2^4 - 36*T1^8*T2^4 + 60*T1^9*T2^4 - 
      15*T1^10*T2^4 - 9*T1^11*T2^4 + 3*T1^12*T2^4 - 18*T1*T2^5 + 
      55*T1^2*T2^5 - 36*T1^3*T2^5 - 6*T1^4*T2^5 + 33*T1^5*T2^5 - 
      11*T1^6*T2^5 - 29*T1^7*T2^5 + 51*T1^8*T2^5 - 15*T1^9*T2^5 - 
      18*T1^10*T2^5 + 28*T1^11*T2^5 - 9*T1^12*T2^5 - 14*T2^6 + 42*T1*T2^6 - 
      19*T1^2*T2^6 - 30*T1^3*T2^6 + 36*T1^4*T2^6 - 11*T1^5*T2^6 - 
      28*T1^6*T2^6 + 32*T1^7*T2^6 - 4*T1^8*T2^6 - 23*T1^9*T2^6 + 
      20*T1^10*T2^6 - 18*T1^11*T2^6 + T1^12*T2^6 + 6*T1^13*T2^6 - 
      2*T1^14*T2^6 + 21*T2^7 - 27*T1*T2^7 - 65*T1^2*T2^7 + 72*T1^3*T2^7 - 
      18*T1^4*T2^7 - 29*T1^5*T2^7 + 32*T1^6*T2^7 + 19*T1^7*T2^7 - 
      47*T1^8*T2^7 + 20*T1^9*T2^7 + T1^10*T2^7 + 3*T1^11*T2^7 + 
      12*T1^12*T2^7 - 17*T1^13*T2^7 + 6*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 
      127*T1^2*T2^8 - 48*T1^3*T2^8 - 36*T1^4*T2^8 + 51*T1^5*T2^8 - 
      4*T1^6*T2^8 - 47*T1^7*T2^8 + 12*T1^8*T2^8 + 31*T1^9*T2^8 - 
      20*T1^10*T2^8 - 3*T1^11*T2^8 - 12*T1^12*T2^8 + 12*T1^13*T2^8 - 
      3*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 24*T1^2*T2^9 - 
      53*T1^3*T2^9 + 60*T1^4*T2^9 - 15*T1^5*T2^9 - 23*T1^6*T2^9 + 
      20*T1^7*T2^9 + 31*T1^8*T2^9 - 35*T1^9*T2^9 + 8*T1^10*T2^9 + 
      7*T1^11*T2^9 + 6*T1^12*T2^9 - 5*T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 - 10*T1^2*T2^10 + 30*T1^3*T2^10 - 15*T1^4*T2^10 - 
      18*T1^5*T2^10 + 20*T1^6*T2^10 + T1^7*T2^10 - 20*T1^8*T2^10 + 
      8*T1^9*T2^10 + 4*T1^10*T2^10 - 11*T1^11*T2^10 + 4*T1^12*T2^10 - 
      6*T1^13*T2^10 + 5*T1^14*T2^10 - 6*T1^15*T2^10 + 2*T1^16*T2^10 - 
      9*T1^4*T2^11 + 28*T1^5*T2^11 - 18*T1^6*T2^11 + 3*T1^7*T2^11 - 
      3*T1^8*T2^11 + 7*T1^9*T2^11 - 11*T1^10*T2^11 + 15*T1^11*T2^11 - 
      6*T1^12*T2^11 + T1^14*T2^11 + 3*T1^4*T2^12 - 9*T1^5*T2^12 + 
      T1^6*T2^12 + 12*T1^7*T2^12 - 12*T1^8*T2^12 + 6*T1^9*T2^12 + 
      4*T1^10*T2^12 - 6*T1^11*T2^12 - 4*T1^12*T2^12 + 12*T1^13*T2^12 - 
      7*T1^14*T2^12 + 3*T1^15*T2^12 - T1^16*T2^12 + 6*T1^6*T2^13 - 
      17*T1^7*T2^13 + 12*T1^8*T2^13 - 6*T1^10*T2^13 + 12*T1^12*T2^13 - 
      18*T1^13*T2^13 + 7*T1^14*T2^13 - 2*T1^6*T2^14 + 6*T1^7*T2^14 - 
      3*T1^8*T2^14 - 5*T1^9*T2^14 + 5*T1^10*T2^14 + T1^11*T2^14 - 
      7*T1^12*T2^14 + 7*T1^13*T2^14 + T1^14*T2^14 - 6*T1^15*T2^14 + 
      2*T1^16*T2^14 - 3*T1^8*T2^15 + 9*T1^9*T2^15 - 6*T1^10*T2^15 + 
      3*T1^12*T2^15 - 6*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 2*T1^10*T2^16 - T1^12*T2^16 + 
      2*T1^14*T2^16 - 3*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 89] -> 
  {-((1 - 7*T + 14*T^2 - 17*T^3 + 14*T^4 - 7*T^5 + T^6)/T^3), 
   -((-1 + 7*T1 - 14*T1^2 + 17*T1^3 - 14*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      47*T1*T2 + 100*T1^2*T2 - 121*T1^3*T2 + 96*T1^4*T2 - 47*T1^5*T2 + 
      9*T1^6*T2 - 14*T2^2 + 100*T1*T2^2 - 227*T1^2*T2^2 + 206*T1^3*T2^2 - 
      69*T1^4*T2^2 - 74*T1^5*T2^2 + 137*T1^6*T2^2 - 96*T1^7*T2^2 + 
      14*T1^8*T2^2 + 17*T2^3 - 121*T1*T2^3 + 206*T1^2*T2^3 + 301*T1^3*T2^3 - 
      872*T1^4*T2^3 + 1095*T1^5*T2^3 - 839*T1^6*T2^3 + 276*T1^7*T2^3 + 
      138*T1^8*T2^3 - 34*T1^9*T2^3 - 14*T2^4 + 96*T1*T2^4 - 69*T1^2*T2^4 - 
      872*T1^3*T2^4 + 1040*T1^4*T2^4 - 394*T1^5*T2^4 - 612*T1^6*T2^4 + 
      1270*T1^7*T2^4 - 951*T1^8*T2^4 - 58*T1^9*T2^4 + 42*T1^10*T2^4 + 
      7*T2^5 - 47*T1*T2^5 - 74*T1^2*T2^5 + 1095*T1^3*T2^5 - 394*T1^4*T2^5 - 
      513*T1^5*T2^5 + 971*T1^6*T2^5 - 590*T1^7*T2^5 - 522*T1^8*T2^5 + 
      1256*T1^9*T2^5 - 96*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 9*T1*T2^6 + 
      137*T1^2*T2^6 - 839*T1^3*T2^6 - 612*T1^4*T2^6 + 971*T1^5*T2^6 - 
      504*T1^6*T2^6 - 443*T1^7*T2^6 + 1236*T1^8*T2^6 - 941*T1^9*T2^6 - 
      759*T1^10*T2^6 + 163*T1^11*T2^6 + 5*T1^12*T2^6 - 96*T1^2*T2^7 + 
      276*T1^3*T2^7 + 1270*T1^4*T2^7 - 590*T1^5*T2^7 - 443*T1^6*T2^7 + 
      1041*T1^7*T2^7 - 786*T1^8*T2^7 - 347*T1^9*T2^7 + 1606*T1^10*T2^7 - 
      145*T1^11*T2^7 - 35*T1^12*T2^7 + 14*T1^2*T2^8 + 138*T1^3*T2^8 - 
      951*T1^4*T2^8 - 522*T1^5*T2^8 + 1236*T1^6*T2^8 - 786*T1^7*T2^8 - 
      416*T1^8*T2^8 + 1620*T1^9*T2^8 - 1833*T1^10*T2^8 - 16*T1^11*T2^8 + 
      70*T1^12*T2^8 - 34*T1^3*T2^9 - 58*T1^4*T2^9 + 1256*T1^5*T2^9 - 
      941*T1^6*T2^9 - 347*T1^7*T2^9 + 1620*T1^8*T2^9 - 2081*T1^9*T2^9 + 
      1326*T1^10*T2^9 + 201*T1^11*T2^9 - 85*T1^12*T2^9 + 42*T1^4*T2^10 - 
      96*T1^5*T2^10 - 759*T1^6*T2^10 + 1606*T1^7*T2^10 - 1833*T1^8*T2^10 + 
      1326*T1^9*T2^10 - 395*T1^10*T2^10 - 292*T1^11*T2^10 + 70*T1^12*T2^10 - 
      28*T1^5*T2^11 + 163*T1^6*T2^11 - 145*T1^7*T2^11 - 16*T1^8*T2^11 + 
      201*T1^9*T2^11 - 292*T1^10*T2^11 + 219*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 70*T1^8*T2^12 - 85*T1^9*T2^12 + 
      70*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 90] -> 
  {-((2 - 7*T + 8*T^2 - 7*T^3 + 8*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((-41 + 143*T1 - 162*T1^2 + 141*T1^3 - 162*T1^4 + 143*T1^5 - 41*T1^6 + 
      143*T2 - 384*T1*T2 + 165*T1^2*T2 - 39*T1^3*T2 + 171*T1^4*T2 - 
      45*T1^5*T2 - 258*T1^6*T2 + 115*T1^7*T2 - 162*T2^2 + 165*T1*T2^2 + 
      653*T1^2*T2^2 - 686*T1^3*T2^2 + 359*T1^4*T2^2 - 686*T1^5*T2^2 + 
      845*T1^6*T2^2 - 59*T1^7*T2^2 - 98*T1^8*T2^2 + 141*T2^3 - 39*T1*T2^3 - 
      686*T1^2*T2^3 + 216*T1^3*T2^3 + 125*T1^4*T2^3 + 335*T1^5*T2^3 - 
      246*T1^6*T2^3 - 518*T1^7*T2^3 + 143*T1^8*T2^3 + 57*T1^9*T2^3 - 
      162*T2^4 + 171*T1*T2^4 + 359*T1^2*T2^4 + 125*T1^3*T2^4 - 
      255*T1^4*T2^4 - 203*T1^5*T2^4 + 129*T1^6*T2^4 + 265*T1^7*T2^4 + 
      185*T1^8*T2^4 - 81*T1^9*T2^4 - 34*T1^10*T2^4 + 143*T2^5 - 45*T1*T2^5 - 
      686*T1^2*T2^5 + 335*T1^3*T2^5 - 203*T1^4*T2^5 + 612*T1^5*T2^5 - 
      438*T1^6*T2^5 - 91*T1^7*T2^5 - 15*T1^8*T2^5 - 182*T1^9*T2^5 + 
      109*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 258*T1*T2^6 + 845*T1^2*T2^6 - 
      246*T1^3*T2^6 + 129*T1^4*T2^6 - 438*T1^5*T2^6 - 84*T1^6*T2^6 + 
      570*T1^7*T2^6 - 283*T1^8*T2^6 + 258*T1^9*T2^6 - 79*T1^10*T2^6 - 
      34*T1^11*T2^6 + 7*T1^12*T2^6 + 115*T1*T2^7 - 59*T1^2*T2^7 - 
      518*T1^3*T2^7 + 265*T1^4*T2^7 - 91*T1^5*T2^7 + 570*T1^6*T2^7 - 
      480*T1^7*T2^7 + 21*T1^8*T2^7 - 85*T1^9*T2^7 - 14*T1^10*T2^7 + 
      95*T1^11*T2^7 - 25*T1^12*T2^7 - 98*T1^2*T2^8 + 143*T1^3*T2^8 + 
      185*T1^4*T2^8 - 15*T1^5*T2^8 - 283*T1^6*T2^8 + 21*T1^7*T2^8 + 
      101*T1^8*T2^8 + 125*T1^9*T2^8 + 11*T1^10*T2^8 - 109*T1^11*T2^8 + 
      30*T1^12*T2^8 + 57*T1^3*T2^9 - 81*T1^4*T2^9 - 182*T1^5*T2^9 + 
      258*T1^6*T2^9 - 85*T1^7*T2^9 + 125*T1^8*T2^9 - 204*T1^9*T2^9 - 
      14*T1^10*T2^9 + 101*T1^11*T2^9 - 27*T1^12*T2^9 - 34*T1^4*T2^10 + 
      109*T1^5*T2^10 - 79*T1^6*T2^10 - 14*T1^7*T2^10 + 11*T1^8*T2^10 - 
      14*T1^9*T2^10 + 113*T1^10*T2^10 - 115*T1^11*T2^10 + 30*T1^12*T2^10 + 
      3*T1^5*T2^11 - 34*T1^6*T2^11 + 95*T1^7*T2^11 - 109*T1^8*T2^11 + 
      101*T1^9*T2^11 - 115*T1^10*T2^11 + 92*T1^11*T2^11 - 25*T1^12*T2^11 + 
      7*T1^6*T2^12 - 25*T1^7*T2^12 + 30*T1^8*T2^12 - 27*T1^9*T2^12 + 
      30*T1^10*T2^12 - 25*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 91] -> 
  {-((1 - 8*T + 13*T^2 - 8*T^3 + T^4)/T^2), 
   -((-1 + 8*T1 - 13*T1^2 + 8*T1^3 - T1^4 + 8*T2 - 50*T1*T2 + 96*T1^2*T2 - 
      72*T1^3*T2 + 22*T1^4*T2 - 13*T2^2 + 96*T1*T2^2 - 307*T1^2*T2^2 + 
      243*T1^3*T2^2 + 5*T1^4*T2^2 - 112*T1^5*T2^2 + 13*T1^6*T2^2 + 8*T2^3 - 
      72*T1*T2^3 + 243*T1^2*T2^3 + 608*T1^3*T2^3 - 1360*T1^4*T2^3 + 
      867*T1^5*T2^3 + 16*T1^6*T2^3 - 16*T1^7*T2^3 - T2^4 + 22*T1*T2^4 + 
      5*T1^2*T2^4 - 1360*T1^3*T2^4 + 1500*T1^4*T2^4 + 144*T1^5*T2^4 - 
      967*T1^6*T2^4 + 118*T1^7*T2^4 + 3*T1^8*T2^4 - 112*T1^2*T2^5 + 
      867*T1^3*T2^5 + 144*T1^4*T2^5 - 1824*T1^5*T2^5 + 1491*T1^6*T2^5 - 
      24*T1^7*T2^5 - 24*T1^8*T2^5 + 13*T1^2*T2^6 + 16*T1^3*T2^6 - 
      967*T1^4*T2^6 + 1491*T1^5*T2^6 - 655*T1^6*T2^6 - 192*T1^7*T2^6 + 
      39*T1^8*T2^6 - 16*T1^3*T2^7 + 118*T1^4*T2^7 - 24*T1^5*T2^7 - 
      192*T1^6*T2^7 + 190*T1^7*T2^7 - 24*T1^8*T2^7 + 3*T1^4*T2^8 - 
      24*T1^5*T2^8 + 39*T1^6*T2^8 - 24*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 92] -> 
  {(1 - 3*T + 3*T^2 - T^3 + 3*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 6*T1^2 + 2*T1^3 - 6*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 9*T1^2*T2 + 3*T1^3*T2 + 15*T1^4*T2 - 9*T1^5*T2 - 3*T1^6*T2 + 
     3*T1^7*T2 - 6*T2^2 + 9*T1*T2^2 + 9*T1^2*T2^2 - 21*T1^3*T2^2 - 
     9*T1^4*T2^2 - 9*T1^5*T2^2 + 21*T1^6*T2^2 - 9*T1^7*T2^2 + 2*T2^3 + 
     3*T1*T2^3 - 21*T1^2*T2^3 + 26*T1^3*T2^3 + 18*T1^5*T2^3 - 22*T1^6*T2^3 + 
     6*T1^7*T2^3 + 3*T1^8*T2^3 - T1^9*T2^3 - 6*T2^4 + 15*T1*T2^4 - 
     9*T1^2*T2^4 - 43*T1^4*T2^4 + 25*T1^5*T2^4 - 7*T1^6*T2^4 + 9*T1^8*T2^4 - 
     15*T1^9*T2^4 + 6*T1^10*T2^4 + 6*T2^5 - 9*T1*T2^5 - 9*T1^2*T2^5 + 
     18*T1^3*T2^5 + 25*T1^4*T2^5 + 51*T1^5*T2^5 - 39*T1^6*T2^5 + 
     16*T1^7*T2^5 - 36*T1^8*T2^5 + 24*T1^9*T2^5 + 9*T1^10*T2^5 - 
     9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 21*T1^2*T2^6 - 22*T1^3*T2^6 - 
     7*T1^4*T2^6 - 39*T1^5*T2^6 - 48*T1^6*T2^6 + 51*T1^7*T2^6 + 
     11*T1^8*T2^6 + 26*T1^9*T2^6 - 51*T1^10*T2^6 + 15*T1^11*T2^6 + 
     4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 + 6*T1^3*T2^7 + 16*T1^5*T2^7 + 
     51*T1^6*T2^7 - 39*T1^7*T2^7 + 7*T1^8*T2^7 - 54*T1^9*T2^7 + 
     39*T1^10*T2^7 + 9*T1^11*T2^7 - 12*T1^12*T2^7 + 3*T1^3*T2^8 + 
     9*T1^4*T2^8 - 36*T1^5*T2^8 + 11*T1^6*T2^8 + 7*T1^7*T2^8 + 47*T1^8*T2^8 - 
     36*T1^9*T2^8 + 27*T1^10*T2^8 - 27*T1^11*T2^8 + 12*T1^12*T2^8 - 
     T1^3*T2^9 - 15*T1^4*T2^9 + 24*T1^5*T2^9 + 26*T1^6*T2^9 - 54*T1^7*T2^9 - 
     36*T1^8*T2^9 - 22*T1^9*T2^9 + 51*T1^10*T2^9 - 15*T1^11*T2^9 - 
     4*T1^12*T2^9 + 6*T1^4*T2^10 + 9*T1^5*T2^10 - 51*T1^6*T2^10 + 
     39*T1^7*T2^10 + 27*T1^8*T2^10 + 51*T1^9*T2^10 - 39*T1^10*T2^10 - 
     9*T1^11*T2^10 + 12*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 + 
     9*T1^7*T2^11 - 27*T1^8*T2^11 - 15*T1^9*T2^11 - 9*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     12*T1^8*T2^12 - 4*T1^9*T2^12 + 12*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 93] -> 
  {(3 - 7*T + 9*T^2 - 9*T^3 + 9*T^4 - 7*T^5 + 3*T^6)/T^3, 
   -((165 - 380*T1 + 485*T1^2 - 483*T1^3 + 485*T1^4 - 380*T1^5 + 165*T1^6 - 
      380*T2 + 561*T1*T2 - 391*T1^2*T2 + 185*T1^3*T2 - 193*T1^4*T2 - 
      55*T1^5*T2 + 351*T1^6*T2 - 317*T1^7*T2 + 485*T2^2 - 391*T1*T2^2 + 
      39*T1^2*T2^2 + 49*T1^3*T2^2 + 151*T1^4*T2^2 + 157*T1^5*T2^2 - 
      285*T1^6*T2^2 - 13*T1^7*T2^2 + 323*T1^8*T2^2 - 483*T2^3 + 185*T1*T2^3 + 
      49*T1^2*T2^3 + 60*T1^3*T2^3 - 278*T1^4*T2^3 - 116*T1^5*T2^3 + 
      96*T1^6*T2^3 + 148*T1^7*T2^3 - 193*T1^8*T2^3 - 240*T1^9*T2^3 + 
      485*T2^4 - 193*T1*T2^4 + 151*T1^2*T2^4 - 278*T1^3*T2^4 + 
      374*T1^4*T2^4 + 64*T1^5*T2^4 - 22*T1^6*T2^4 - 62*T1^7*T2^4 + 
      61*T1^8*T2^4 + 185*T1^9*T2^4 + 161*T1^10*T2^4 - 380*T2^5 - 55*T1*T2^5 + 
      157*T1^2*T2^5 - 116*T1^3*T2^5 + 64*T1^4*T2^5 - 363*T1^5*T2^5 + 
      153*T1^6*T2^5 + 37*T1^7*T2^5 - 170*T1^8*T2^5 + 22*T1^9*T2^5 - 
      223*T1^10*T2^5 - 65*T1^11*T2^5 + 165*T2^6 + 351*T1*T2^6 - 
      285*T1^2*T2^6 + 96*T1^3*T2^6 - 22*T1^4*T2^6 + 153*T1^5*T2^6 + 
      180*T1^6*T2^6 - 321*T1^7*T2^6 + 284*T1^8*T2^6 - 48*T1^9*T2^6 + 
      115*T1^10*T2^6 + 141*T1^11*T2^6 + 3*T1^12*T2^6 - 317*T1*T2^7 - 
      13*T1^2*T2^7 + 148*T1^3*T2^7 - 62*T1^4*T2^7 + 37*T1^5*T2^7 - 
      321*T1^6*T2^7 + 195*T1^7*T2^7 + 10*T1^8*T2^7 - 116*T1^9*T2^7 + 
      13*T1^10*T2^7 - 181*T1^11*T2^7 - 2*T1^12*T2^7 + 323*T1^2*T2^8 - 
      193*T1^3*T2^8 + 61*T1^4*T2^8 - 170*T1^5*T2^8 + 284*T1^6*T2^8 + 
      10*T1^7*T2^8 - 112*T1^8*T2^8 + 46*T1^9*T2^8 - 29*T1^10*T2^8 + 
      185*T1^11*T2^8 - T1^12*T2^8 - 240*T1^3*T2^9 + 185*T1^4*T2^9 + 
      22*T1^5*T2^9 - 48*T1^6*T2^9 - 116*T1^7*T2^9 + 46*T1^8*T2^9 - 
      12*T1^9*T2^9 + 121*T1^10*T2^9 - 193*T1^11*T2^9 + 3*T1^12*T2^9 + 
      161*T1^4*T2^10 - 223*T1^5*T2^10 + 115*T1^6*T2^10 + 13*T1^7*T2^10 - 
      29*T1^8*T2^10 + 121*T1^9*T2^10 - 209*T1^10*T2^10 + 155*T1^11*T2^10 - 
      T1^12*T2^10 - 65*T1^5*T2^11 + 141*T1^6*T2^11 - 181*T1^7*T2^11 + 
      185*T1^8*T2^11 - 193*T1^9*T2^11 + 155*T1^10*T2^11 - 69*T1^11*T2^11 - 
      2*T1^12*T2^11 + 3*T1^6*T2^12 - 2*T1^7*T2^12 - T1^8*T2^12 + 
      3*T1^9*T2^12 - T1^10*T2^12 - 2*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 94] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 39*T1^2 + 51*T1^3 - 39*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 161*T1^2*T2 - 150*T1^3*T2 + 30*T1^4*T2 + 47*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 39*T2^2 + 161*T1*T2^2 - 78*T1^2*T2^2 - 
      203*T1^3*T2^2 + 564*T1^4*T2^2 - 489*T1^5*T2^2 + 234*T1^6*T2^2 + 
      5*T1^7*T2^2 - 13*T1^8*T2^2 + 51*T2^3 - 150*T1*T2^3 - 203*T1^2*T2^3 + 
      667*T1^3*T2^3 - 979*T1^4*T2^3 + 392*T1^5*T2^3 + 103*T1^6*T2^3 - 
      320*T1^7*T2^3 + 78*T1^8*T2^3 - 39*T2^4 + 30*T1*T2^4 + 564*T1^2*T2^4 - 
      979*T1^3*T2^4 + 954*T1^4*T2^4 + 196*T1^5*T2^4 - 666*T1^6*T2^4 + 
      585*T1^7*T2^4 + 16*T1^8*T2^4 - 78*T1^9*T2^4 + 13*T1^10*T2^4 + 18*T2^5 + 
      47*T1*T2^5 - 489*T1^2*T2^5 + 392*T1^3*T2^5 + 196*T1^4*T2^5 - 
      1357*T1^5*T2^5 + 1037*T1^6*T2^5 - 181*T1^7*T2^5 - 593*T1^8*T2^5 + 
      304*T1^9*T2^5 - 7*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      234*T1^2*T2^6 + 103*T1^3*T2^6 - 666*T1^4*T2^6 + 1037*T1^5*T2^6 + 
      36*T1^6*T2^6 - 989*T1^7*T2^6 + 1020*T1^8*T2^6 - 155*T1^9*T2^6 - 
      214*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      5*T1^2*T2^7 - 320*T1^3*T2^7 + 585*T1^4*T2^7 - 181*T1^5*T2^7 - 
      989*T1^6*T2^7 + 1405*T1^7*T2^7 - 558*T1^8*T2^7 - 400*T1^9*T2^7 + 
      473*T1^10*T2^7 - 49*T1^11*T2^7 - 18*T1^12*T2^7 - 13*T1^2*T2^8 + 
      78*T1^3*T2^8 + 16*T1^4*T2^8 - 593*T1^5*T2^8 + 1020*T1^6*T2^8 - 
      558*T1^7*T2^8 - 600*T1^8*T2^8 + 971*T1^9*T2^8 - 532*T1^10*T2^8 - 
      30*T1^11*T2^8 + 39*T1^12*T2^8 - 78*T1^4*T2^9 + 304*T1^5*T2^9 - 
      155*T1^6*T2^9 - 400*T1^7*T2^9 + 971*T1^8*T2^9 - 719*T1^9*T2^9 + 
      187*T1^10*T2^9 + 150*T1^11*T2^9 - 51*T1^12*T2^9 + 13*T1^4*T2^10 - 
      7*T1^5*T2^10 - 214*T1^6*T2^10 + 473*T1^7*T2^10 - 532*T1^8*T2^10 + 
      187*T1^9*T2^10 + 98*T1^10*T2^10 - 163*T1^11*T2^10 + 39*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 49*T1^7*T2^11 - 30*T1^8*T2^11 + 
      150*T1^9*T2^11 - 163*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 39*T1^8*T2^12 - 51*T1^9*T2^12 + 
      39*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 95] -> 
  {-((1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 35*T1^2 + 35*T1^3 - 35*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      105*T1*T2 + 72*T1^2*T2 - 33*T1^3*T2 + 37*T1^4*T2 + 12*T1^5*T2 - 
      75*T1^6*T2 + 20*T1^7*T2 - 35*T2^2 + 72*T1*T2^2 + 247*T1^2*T2^2 - 
      357*T1^3*T2^2 + 309*T1^4*T2^2 - 385*T1^5*T2^2 + 331*T1^6*T2^2 + 
      2*T1^7*T2^2 - 21*T1^8*T2^2 + 35*T2^3 - 33*T1*T2^3 - 357*T1^2*T2^3 + 
      224*T1^3*T2^3 - 68*T1^4*T2^3 + 170*T1^5*T2^3 - 28*T1^6*T2^3 - 
      294*T1^7*T2^3 + 37*T1^8*T2^3 + 14*T1^9*T2^3 - 35*T2^4 + 37*T1*T2^4 + 
      309*T1^2*T2^4 - 68*T1^3*T2^4 - 2*T1^4*T2^4 - 152*T1^5*T2^4 + 
      26*T1^6*T2^4 + 156*T1^7*T2^4 + 155*T1^8*T2^4 - 33*T1^9*T2^4 - 
      7*T1^10*T2^4 + 25*T2^5 + 12*T1*T2^5 - 385*T1^2*T2^5 + 170*T1^3*T2^5 - 
      152*T1^4*T2^5 + 289*T1^5*T2^5 - 135*T1^6*T2^5 - 75*T1^7*T2^5 - 
      96*T1^8*T2^5 - 84*T1^9*T2^5 + 32*T1^10*T2^5 - 5*T2^6 - 75*T1*T2^6 + 
      331*T1^2*T2^6 - 28*T1^3*T2^6 + 26*T1^4*T2^6 - 135*T1^5*T2^6 - 
      84*T1^6*T2^6 + 239*T1^7*T2^6 - 44*T1^8*T2^6 + 140*T1^9*T2^6 - 
      29*T1^10*T2^6 - 5*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 2*T1^2*T2^7 - 
      294*T1^3*T2^7 + 156*T1^4*T2^7 - 75*T1^5*T2^7 + 239*T1^6*T2^7 - 
      185*T1^7*T2^7 + 2*T1^8*T2^7 - 110*T1^9*T2^7 + 7*T1^10*T2^7 + 
      22*T1^11*T2^7 - 5*T1^12*T2^7 - 21*T1^2*T2^8 + 37*T1^3*T2^8 + 
      155*T1^4*T2^8 - 96*T1^5*T2^8 - 44*T1^6*T2^8 + 2*T1^7*T2^8 - 
      16*T1^8*T2^8 + 128*T1^9*T2^8 + T1^10*T2^8 - 33*T1^11*T2^8 + 
      7*T1^12*T2^8 + 14*T1^3*T2^9 - 33*T1^4*T2^9 - 84*T1^5*T2^9 + 
      140*T1^6*T2^9 - 110*T1^7*T2^9 + 128*T1^8*T2^9 - 112*T1^9*T2^9 - 
      21*T1^10*T2^9 + 37*T1^11*T2^9 - 7*T1^12*T2^9 - 7*T1^4*T2^10 + 
      32*T1^5*T2^10 - 29*T1^6*T2^10 + 7*T1^7*T2^10 + T1^8*T2^10 - 
      21*T1^9*T2^10 + 55*T1^10*T2^10 - 38*T1^11*T2^10 + 7*T1^12*T2^10 - 
      5*T1^6*T2^11 + 22*T1^7*T2^11 - 33*T1^8*T2^11 + 37*T1^9*T2^11 - 
      38*T1^10*T2^11 + 25*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 7*T1^8*T2^12 - 7*T1^9*T2^12 + 7*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 96] -> {(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6)/
    T^3, (-4 + 8*T1 - 4*T1^2 - 4*T1^3 - 4*T1^4 + 8*T1^5 - 4*T1^6 + 8*T2 - 
     8*T1*T2 - 8*T1^2*T2 + 17*T1^3*T2 + 17*T1^4*T2 - 14*T1^5*T2 - 2*T1^6*T2 + 
     6*T1^7*T2 - 4*T2^2 - 8*T1*T2^2 + 22*T1^2*T2^2 - 11*T1^3*T2^2 - 
     28*T1^4*T2^2 - 5*T1^5*T2^2 + 22*T1^6*T2^2 - 12*T1^7*T2^2 - 2*T1^8*T2^2 - 
     4*T2^3 + 17*T1*T2^3 - 11*T1^2*T2^3 - 15*T1^3*T2^3 + 17*T1^4*T2^3 + 
     26*T1^5*T2^3 - 21*T1^6*T2^3 - 2*T1^7*T2^3 + 9*T1^8*T2^3 - T1^9*T2^3 - 
     4*T2^4 + 17*T1*T2^4 - 28*T1^2*T2^4 + 17*T1^3*T2^4 + 19*T1^4*T2^4 - 
     29*T1^5*T2^4 + 7*T1^6*T2^4 + 21*T1^7*T2^4 - 16*T1^8*T2^4 + 5*T1^9*T2^4 + 
     8*T2^5 - 14*T1*T2^5 - 5*T1^2*T2^5 + 26*T1^3*T2^5 - 29*T1^4*T2^5 + 
     3*T1^5*T2^5 + 15*T1^6*T2^5 - 36*T1^7*T2^5 + 7*T1^8*T2^5 - 2*T1^9*T2^5 - 
     2*T1^11*T2^5 - 4*T2^6 - 2*T1*T2^6 + 22*T1^2*T2^6 - 21*T1^3*T2^6 + 
     7*T1^4*T2^6 + 15*T1^5*T2^6 - 12*T1^6*T2^6 + 9*T1^7*T2^6 + 29*T1^8*T2^6 - 
     3*T1^9*T2^6 - 2*T1^10*T2^6 + 2*T1^11*T2^6 + 2*T1^12*T2^6 + 6*T1*T2^7 - 
     12*T1^2*T2^7 - 2*T1^3*T2^7 + 21*T1^4*T2^7 - 36*T1^5*T2^7 + 9*T1^6*T2^7 + 
     21*T1^7*T2^7 - 43*T1^8*T2^7 + 2*T1^9*T2^7 + T1^10*T2^7 + 2*T1^11*T2^7 - 
     4*T1^12*T2^7 - 2*T1^2*T2^8 + 9*T1^3*T2^8 - 16*T1^4*T2^8 + 7*T1^5*T2^8 + 
     29*T1^6*T2^8 - 43*T1^7*T2^8 + 17*T1^8*T2^8 + 11*T1^9*T2^8 - 
     4*T1^10*T2^8 - 3*T1^11*T2^8 + 2*T1^12*T2^8 - T1^3*T2^9 + 5*T1^4*T2^9 - 
     2*T1^5*T2^9 - 3*T1^6*T2^9 + 2*T1^7*T2^9 + 11*T1^8*T2^9 - 9*T1^9*T2^9 + 
     7*T1^10*T2^9 - 3*T1^11*T2^9 + 2*T1^12*T2^9 - 2*T1^6*T2^10 + T1^7*T2^10 - 
     4*T1^8*T2^10 + 7*T1^9*T2^10 - 2*T1^10*T2^10 - 4*T1^11*T2^10 + 
     2*T1^12*T2^10 - 2*T1^5*T2^11 + 2*T1^6*T2^11 + 2*T1^7*T2^11 - 
     3*T1^8*T2^11 - 3*T1^9*T2^11 - 4*T1^10*T2^11 + 8*T1^11*T2^11 - 
     4*T1^12*T2^11 + 2*T1^6*T2^12 - 4*T1^7*T2^12 + 2*T1^8*T2^12 + 
     2*T1^9*T2^12 + 2*T1^10*T2^12 - 4*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 97] -> 
  {-(((-2 + T)*(-1 + 2*T))/T), 
   -((T1 + T1^2 + T2 - 11*T1*T2 + 11*T1^2*T2 - 11*T1^3*T2 + T1^4*T2 + T2^2 + 
      11*T1*T2^2 - 28*T1^2*T2^2 + 42*T1^3*T2^2 - 9*T1^4*T2^2 + T1^5*T2^2 - 
      11*T1*T2^3 + 42*T1^2*T2^3 - 72*T1^3*T2^3 + 2*T1^4*T2^3 + 5*T1^5*T2^3 + 
      T1*T2^4 - 9*T1^2*T2^4 + 2*T1^3*T2^4 + 72*T1^4*T2^4 - 29*T1^5*T2^4 + 
      T1^6*T2^4 + T1^2*T2^5 + 5*T1^3*T2^5 - 29*T1^4*T2^5 + 5*T1^5*T2^5 + 
      T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^4*T2^3*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 98] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-3 + 21*T1 - 48*T1^2 + 63*T1^3 - 48*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 238*T1^2*T2 - 217*T1^3*T2 + 42*T1^4*T2 + 77*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 48*T2^2 + 238*T1*T2^2 - 93*T1^2*T2^2 - 
      463*T1^3*T2^2 + 1053*T1^4*T2^2 - 911*T1^5*T2^2 + 387*T1^6*T2^2 + 
      14*T1^7*T2^2 - 16*T1^8*T2^2 + 63*T2^3 - 217*T1*T2^3 - 463*T1^2*T2^3 + 
      1527*T1^3*T2^3 - 1930*T1^4*T2^3 + 765*T1^5*T2^3 + 337*T1^6*T2^3 - 
      575*T1^7*T2^3 + 112*T1^8*T2^3 - 48*T2^4 + 42*T1*T2^4 + 1053*T1^2*T2^4 - 
      1930*T1^3*T2^4 + 1109*T1^4*T2^4 + 1253*T1^5*T2^4 - 2047*T1^6*T2^4 + 
      1136*T1^7*T2^4 + 19*T1^8*T2^4 - 112*T1^9*T2^4 + 16*T1^10*T2^4 + 
      21*T2^5 + 77*T1*T2^5 - 911*T1^2*T2^5 + 765*T1^3*T2^5 + 1253*T1^4*T2^5 - 
      3059*T1^5*T2^5 + 1925*T1^6*T2^5 + 357*T1^7*T2^5 - 1188*T1^8*T2^5 + 
      545*T1^9*T2^5 - 14*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 77*T1*T2^6 + 
      387*T1^2*T2^6 + 337*T1^3*T2^6 - 2047*T1^4*T2^6 + 1925*T1^5*T2^6 + 
      468*T1^6*T2^6 - 2345*T1^7*T2^6 + 1613*T1^8*T2^6 - 237*T1^9*T2^6 - 
      377*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      14*T1^2*T2^7 - 575*T1^3*T2^7 + 1136*T1^4*T2^7 + 357*T1^5*T2^7 - 
      2345*T1^6*T2^7 + 2639*T1^7*T2^7 - 539*T1^8*T2^7 - 817*T1^9*T2^7 + 
      881*T1^10*T2^7 - 77*T1^11*T2^7 - 21*T1^12*T2^7 - 16*T1^2*T2^8 + 
      112*T1^3*T2^8 + 19*T1^4*T2^8 - 1188*T1^5*T2^8 + 1613*T1^6*T2^8 - 
      539*T1^7*T2^8 - 1543*T1^8*T2^8 + 1878*T1^9*T2^8 - 1015*T1^10*T2^8 - 
      42*T1^11*T2^8 + 48*T1^12*T2^8 - 112*T1^4*T2^9 + 545*T1^5*T2^9 - 
      237*T1^6*T2^9 - 817*T1^7*T2^9 + 1878*T1^8*T2^9 - 1427*T1^9*T2^9 + 
      433*T1^10*T2^9 + 217*T1^11*T2^9 - 63*T1^12*T2^9 + 16*T1^4*T2^10 - 
      14*T1^5*T2^10 - 377*T1^6*T2^10 + 881*T1^7*T2^10 - 1015*T1^8*T2^10 + 
      433*T1^9*T2^10 + 103*T1^10*T2^10 - 238*T1^11*T2^10 + 48*T1^12*T2^10 - 
      14*T1^5*T2^11 + 77*T1^6*T2^11 - 77*T1^7*T2^11 - 42*T1^8*T2^11 + 
      217*T1^9*T2^11 - 238*T1^10*T2^11 + 133*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 48*T1^8*T2^12 - 63*T1^9*T2^12 + 
      48*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 99] -> 
  {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   -((-18 + 61*T1 - 82*T1^2 + 61*T1^3 - 18*T1^4 + 61*T2 - 238*T1*T2 + 
      375*T1^2*T2 - 315*T1^3*T2 + 152*T1^4*T2 - 29*T1^5*T2 - 82*T2^2 + 
      375*T1*T2^2 - 534*T1^2*T2^2 + 150*T1^3*T2^2 + 246*T1^4*T2^2 - 
      405*T1^5*T2^2 + 152*T1^6*T2^2 + 61*T2^3 - 315*T1*T2^3 + 150*T1^2*T2^3 + 
      792*T1^3*T2^3 - 1028*T1^4*T2^3 + 670*T1^5*T2^3 + 195*T1^6*T2^3 - 
      209*T1^7*T2^3 - 18*T2^4 + 152*T1*T2^4 + 246*T1^2*T2^4 - 
      1028*T1^3*T2^4 + 276*T1^4*T2^4 + 612*T1^5*T2^4 - 1286*T1^6*T2^4 + 
      392*T1^7*T2^4 + 90*T1^8*T2^4 - 29*T1*T2^5 - 405*T1^2*T2^5 + 
      670*T1^3*T2^5 + 612*T1^4*T2^5 - 1208*T1^5*T2^5 + 1190*T1^6*T2^5 + 
      105*T1^7*T2^5 - 299*T1^8*T2^5 + 152*T1^2*T2^6 + 195*T1^3*T2^6 - 
      1286*T1^4*T2^6 + 1190*T1^5*T2^6 - 506*T1^6*T2^6 - 585*T1^7*T2^6 + 
      386*T1^8*T2^6 - 209*T1^3*T2^7 + 392*T1^4*T2^7 + 105*T1^5*T2^7 - 
      585*T1^6*T2^7 + 782*T1^7*T2^7 - 299*T1^8*T2^7 + 90*T1^4*T2^8 - 
      299*T1^5*T2^8 + 386*T1^6*T2^8 - 299*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 100] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/T^2, 
   (-17 + 95*T1 - 165*T1^2 + 95*T1^3 - 17*T1^4 + 95*T2 - 480*T1*T2 + 
     634*T1^2*T2 - 26*T1^3*T2 - 194*T1^4*T2 + 51*T1^5*T2 - 165*T2^2 + 
     634*T1*T2^2 + 20*T1^2*T2^2 - 1858*T1^3*T2^2 + 1312*T1^4*T2^2 - 
     202*T1^5*T2^2 - 13*T1^6*T2^2 + 95*T2^3 - 26*T1*T2^3 - 1858*T1^2*T2^3 + 
     3889*T1^3*T2^3 - 1523*T1^4*T2^3 - 395*T1^5*T2^3 + 282*T1^6*T2^3 - 
     37*T1^7*T2^3 - 17*T2^4 - 194*T1*T2^4 + 1312*T1^2*T2^4 - 1523*T1^3*T2^4 - 
     1344*T1^4*T2^4 + 2415*T1^5*T2^4 - 1046*T1^6*T2^4 + 114*T1^7*T2^4 + 
     15*T1^8*T2^4 + 51*T1*T2^5 - 202*T1^2*T2^5 - 395*T1^3*T2^5 + 
     2415*T1^4*T2^5 - 2997*T1^5*T2^5 + 1068*T1^6*T2^5 + 106*T1^7*T2^5 - 
     81*T1^8*T2^5 - 13*T1^2*T2^6 + 282*T1^3*T2^6 - 1046*T1^4*T2^6 + 
     1068*T1^5*T2^6 + 246*T1^6*T2^6 - 554*T1^7*T2^6 + 139*T1^8*T2^6 - 
     37*T1^3*T2^7 + 114*T1^4*T2^7 + 106*T1^5*T2^7 - 554*T1^6*T2^7 + 
     400*T1^7*T2^7 - 81*T1^8*T2^7 + 15*T1^4*T2^8 - 81*T1^5*T2^8 + 
     139*T1^6*T2^8 - 81*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 101] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-9 + 47*T1 - 71*T1^2 + 47*T1^3 - 9*T1^4 + 47*T2 - 240*T1*T2 + 
      326*T1^2*T2 - 174*T1^3*T2 + 7*T1^5*T2 - 71*T2^2 + 326*T1*T2^2 - 
      181*T1^2*T2^2 - 375*T1^3*T2^2 + 599*T1^4*T2^2 - 274*T1^5*T2^2 + 
      49*T1^6*T2^2 + 47*T2^3 - 174*T1*T2^3 - 375*T1^2*T2^3 + 1470*T1^3*T2^3 - 
      1560*T1^4*T2^3 + 525*T1^5*T2^3 + 126*T1^6*T2^3 - 73*T1^7*T2^3 - 
      9*T2^4 + 599*T1^2*T2^4 - 1560*T1^3*T2^4 + 804*T1^4*T2^4 + 
      880*T1^5*T2^4 - 1161*T1^6*T2^4 + 240*T1^7*T2^4 + 23*T1^8*T2^4 + 
      7*T1*T2^5 - 274*T1^2*T2^5 + 525*T1^3*T2^5 + 880*T1^4*T2^5 - 
      2150*T1^5*T2^5 + 1425*T1^6*T2^5 + 26*T1^7*T2^5 - 113*T1^8*T2^5 + 
      49*T1^2*T2^6 + 126*T1^3*T2^6 - 1161*T1^4*T2^6 + 1425*T1^5*T2^6 - 
      381*T1^6*T2^6 - 474*T1^7*T2^6 + 169*T1^8*T2^6 - 73*T1^3*T2^7 + 
      240*T1^4*T2^7 + 26*T1^5*T2^7 - 474*T1^6*T2^7 + 480*T1^7*T2^7 - 
      113*T1^8*T2^7 + 23*T1^4*T2^8 - 113*T1^5*T2^8 + 169*T1^6*T2^8 - 
      113*T1^7*T2^8 + 23*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 102] -> {-((1 - T - T^2 - T^3 + T^4)/T^2), 
   -((-1 + T1 + T1^2 + T1^3 - T1^4 + T2 - 3*T1*T2 + T1^2*T2 + T1^3*T2 - 
      T1^4*T2 + T2^2 + T1*T2^2 - T1^2*T2^2 - 3*T1^3*T2^2 + 3*T1^4*T2^2 + 
      3*T1^5*T2^2 - T1^6*T2^2 + T2^3 + T1*T2^3 - 3*T1^2*T2^3 - 6*T1^3*T2^3 - 
      2*T1^5*T2^3 + 5*T1^6*T2^3 - 2*T1^7*T2^3 - T2^4 - T1*T2^4 + 
      3*T1^2*T2^4 + 12*T1^4*T2^4 - 8*T1^5*T2^4 - 3*T1^6*T2^4 - 3*T1^7*T2^4 + 
      3*T1^8*T2^4 + 3*T1^2*T2^5 - 2*T1^3*T2^5 - 8*T1^4*T2^5 - 2*T1^5*T2^5 - 
      T1^6*T2^5 + 7*T1^7*T2^5 - 3*T1^8*T2^5 - T1^2*T2^6 + 5*T1^3*T2^6 - 
      3*T1^4*T2^6 - T1^5*T2^6 + T1^6*T2^6 + 7*T1^7*T2^6 - 3*T1^8*T2^6 - 
      2*T1^3*T2^7 - 3*T1^4*T2^7 + 7*T1^5*T2^7 + 7*T1^6*T2^7 - T1^7*T2^7 - 
      3*T1^8*T2^7 + 3*T1^4*T2^8 - 3*T1^5*T2^8 - 3*T1^6*T2^8 - 3*T1^7*T2^8 + 
      3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 103] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((-1 + 7*T1 - 15*T1^2 + 19*T1^3 - 15*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      49*T1*T2 + 105*T1^2*T2 - 133*T1^3*T2 + 105*T1^4*T2 - 49*T1^5*T2 + 
      7*T1^6*T2 - 15*T2^2 + 105*T1*T2^2 - 182*T1^2*T2^2 + 108*T1^3*T2^2 + 
      96*T1^4*T2^2 - 252*T1^5*T2^2 + 238*T1^6*T2^2 - 105*T1^7*T2^2 + 
      15*T1^8*T2^2 + 19*T2^3 - 133*T1*T2^3 + 108*T1^2*T2^3 + 426*T1^3*T2^3 - 
      1072*T1^4*T2^3 + 1244*T1^5*T2^3 - 744*T1^6*T2^3 + 93*T1^7*T2^3 + 
      161*T1^8*T2^3 - 38*T1^9*T2^3 - 15*T2^4 + 105*T1*T2^4 + 96*T1^2*T2^4 - 
      1072*T1^3*T2^4 + 1424*T1^4*T2^4 - 580*T1^5*T2^4 - 928*T1^6*T2^4 + 
      1512*T1^7*T2^4 - 866*T1^8*T2^4 - 49*T1^9*T2^4 + 45*T1^10*T2^4 + 
      7*T2^5 - 49*T1*T2^5 - 252*T1^2*T2^5 + 1244*T1^3*T2^5 - 580*T1^4*T2^5 - 
      983*T1^5*T2^5 + 2057*T1^6*T2^5 - 1075*T1^7*T2^5 - 536*T1^8*T2^5 + 
      1143*T1^9*T2^5 - 119*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 7*T1*T2^6 + 
      238*T1^2*T2^6 - 744*T1^3*T2^6 - 928*T1^4*T2^6 + 2057*T1^5*T2^6 - 
      1608*T1^6*T2^6 - 641*T1^7*T2^6 + 1738*T1^8*T2^6 - 1068*T1^9*T2^6 - 
      594*T1^10*T2^6 + 161*T1^11*T2^6 + 5*T1^12*T2^6 - 105*T1^2*T2^7 + 
      93*T1^3*T2^7 + 1512*T1^4*T2^7 - 1075*T1^5*T2^7 - 641*T1^6*T2^7 + 
      2399*T1^7*T2^7 - 1570*T1^8*T2^7 - 268*T1^9*T2^7 + 1488*T1^10*T2^7 - 
      175*T1^11*T2^7 - 35*T1^12*T2^7 + 15*T1^2*T2^8 + 161*T1^3*T2^8 - 
      866*T1^4*T2^8 - 536*T1^5*T2^8 + 1738*T1^6*T2^8 - 1570*T1^7*T2^8 - 
      614*T1^8*T2^8 + 2048*T1^9*T2^8 - 1828*T1^10*T2^8 + 7*T1^11*T2^8 + 
      75*T1^12*T2^8 - 38*T1^3*T2^9 - 49*T1^4*T2^9 + 1143*T1^5*T2^9 - 
      1068*T1^6*T2^9 - 268*T1^7*T2^9 + 2048*T1^8*T2^9 - 2238*T1^9*T2^9 + 
      1128*T1^10*T2^9 + 245*T1^11*T2^9 - 95*T1^12*T2^9 + 45*T1^4*T2^10 - 
      119*T1^5*T2^10 - 594*T1^6*T2^10 + 1488*T1^7*T2^10 - 1828*T1^8*T2^10 + 
      1128*T1^9*T2^10 - 174*T1^10*T2^10 - 329*T1^11*T2^10 + 75*T1^12*T2^10 - 
      28*T1^5*T2^11 + 161*T1^6*T2^11 - 175*T1^7*T2^11 + 7*T1^8*T2^11 + 
      245*T1^9*T2^11 - 329*T1^10*T2^11 + 217*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 75*T1^8*T2^12 - 95*T1^9*T2^12 + 
      75*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 104] -> 
  {-(((1 - T + T^2)*(1 - 2*T - T^2 + 3*T^3 - T^4 - 2*T^5 + T^6))/T^4), 
   -((-7 + 21*T1 - 14*T1^2 - 14*T1^3 + 35*T1^4 - 14*T1^5 - 14*T1^6 + 
      21*T1^7 - 7*T1^8 + 21*T2 - 45*T1*T2 - 12*T1^2*T2 + 78*T1^3*T2 - 
      69*T1^4*T2 - 48*T1^5*T2 + 78*T1^6*T2 - 27*T1^7*T2 - 33*T1^8*T2 + 
      18*T1^9*T2 - 14*T2^2 - 12*T1*T2^2 + 123*T1^2*T2^2 - 105*T1^3*T2^2 - 
      58*T1^4*T2^2 + 221*T1^5*T2^2 - 86*T1^6*T2^2 - 85*T1^7*T2^2 + 
      127*T1^8*T2^2 - 24*T1^9*T2^2 - 10*T1^10*T2^2 - 14*T2^3 + 78*T1*T2^3 - 
      105*T1^2*T2^3 - 48*T1^3*T2^3 + 209*T1^4*T2^3 - 155*T1^5*T2^3 - 
      113*T1^6*T2^3 + 197*T1^7*T2^3 - 72*T1^8*T2^3 - 69*T1^9*T2^3 + 
      54*T1^10*T2^3 - 8*T1^11*T2^3 + 35*T2^4 - 69*T1*T2^4 - 58*T1^2*T2^4 + 
      209*T1^3*T2^4 - 172*T1^4*T2^4 - 127*T1^5*T2^4 + 278*T1^6*T2^4 - 
      143*T1^7*T2^4 - 112*T1^8*T2^4 + 157*T1^9*T2^4 - 62*T1^10*T2^4 - 
      21*T1^11*T2^4 + 15*T1^12*T2^4 - 14*T2^5 - 48*T1*T2^5 + 221*T1^2*T2^5 - 
      155*T1^3*T2^5 - 127*T1^4*T2^5 + 387*T1^5*T2^5 - 172*T1^6*T2^5 - 
      150*T1^7*T2^5 + 307*T1^8*T2^5 - 112*T1^9*T2^5 - 61*T1^10*T2^5 + 
      110*T1^11*T2^5 - 33*T1^12*T2^5 - 4*T1^13*T2^5 - 14*T2^6 + 78*T1*T2^6 - 
      86*T1^2*T2^6 - 113*T1^3*T2^6 + 278*T1^4*T2^6 - 172*T1^5*T2^6 - 
      175*T1^6*T2^6 + 293*T1^7*T2^6 - 143*T1^8*T2^6 - 104*T1^9*T2^6 + 
      150*T1^10*T2^6 - 77*T1^11*T2^6 - 10*T1^12*T2^6 + 18*T1^13*T2^6 - 
      2*T1^14*T2^6 + 21*T2^7 - 27*T1*T2^7 - 85*T1^2*T2^7 + 197*T1^3*T2^7 - 
      143*T1^4*T2^7 - 150*T1^5*T2^7 + 293*T1^6*T2^7 - 139*T1^7*T2^7 - 
      135*T1^8*T2^7 + 197*T1^9*T2^7 - 80*T1^10*T2^7 - 34*T1^11*T2^7 + 
      49*T1^12*T2^7 - 25*T1^13*T2^7 + 6*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 
      127*T1^2*T2^8 - 72*T1^3*T2^8 - 112*T1^4*T2^8 + 307*T1^5*T2^8 - 
      143*T1^6*T2^8 - 135*T1^7*T2^8 + 252*T1^8*T2^8 - 81*T1^9*T2^8 - 
      75*T1^10*T2^8 + 93*T1^11*T2^8 - 36*T1^12*T2^8 + 12*T1^13*T2^8 - 
      3*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 24*T1^2*T2^9 - 
      69*T1^3*T2^9 + 157*T1^4*T2^9 - 112*T1^5*T2^9 - 104*T1^6*T2^9 + 
      197*T1^7*T2^9 - 81*T1^8*T2^9 - 77*T1^9*T2^9 + 101*T1^10*T2^9 - 
      34*T1^11*T2^9 - 3*T1^12*T2^9 + 9*T1^13*T2^9 - 9*T1^14*T2^9 + 
      9*T1^15*T2^9 - 3*T1^16*T2^9 - 10*T1^2*T2^10 + 54*T1^3*T2^10 - 
      62*T1^4*T2^10 - 61*T1^5*T2^10 + 150*T1^6*T2^10 - 80*T1^7*T2^10 - 
      75*T1^8*T2^10 + 101*T1^9*T2^10 - 43*T1^10*T2^10 - 12*T1^11*T2^10 + 
      22*T1^12*T2^10 - 25*T1^13*T2^10 + 14*T1^14*T2^10 - 6*T1^15*T2^10 + 
      2*T1^16*T2^10 - 8*T1^3*T2^11 - 21*T1^4*T2^11 + 110*T1^5*T2^11 - 
      77*T1^6*T2^11 - 34*T1^7*T2^11 + 93*T1^8*T2^11 - 34*T1^9*T2^11 - 
      12*T1^10*T2^11 + 13*T1^11*T2^11 - 19*T1^12*T2^11 + 17*T1^13*T2^11 - 
      T1^14*T2^11 - 6*T1^15*T2^11 + 2*T1^16*T2^11 + 15*T1^4*T2^12 - 
      33*T1^5*T2^12 - 10*T1^6*T2^12 + 49*T1^7*T2^12 - 36*T1^8*T2^12 - 
      3*T1^9*T2^12 + 22*T1^10*T2^12 - 19*T1^11*T2^12 + 24*T1^12*T2^12 - 
      3*T1^13*T2^12 - 14*T1^14*T2^12 + 15*T1^15*T2^12 - 5*T1^16*T2^12 - 
      4*T1^5*T2^13 + 18*T1^6*T2^13 - 25*T1^7*T2^13 + 12*T1^8*T2^13 + 
      9*T1^9*T2^13 - 25*T1^10*T2^13 + 17*T1^11*T2^13 - 3*T1^12*T2^13 - 
      12*T1^13*T2^13 + 11*T1^14*T2^13 - 6*T1^15*T2^13 + 2*T1^16*T2^13 - 
      2*T1^6*T2^14 + 6*T1^7*T2^14 - 3*T1^8*T2^14 - 9*T1^9*T2^14 + 
      14*T1^10*T2^14 - T1^11*T2^14 - 14*T1^12*T2^14 + 11*T1^13*T2^14 + 
      T1^14*T2^14 - 6*T1^15*T2^14 + 2*T1^16*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 - 6*T1^10*T2^15 - 6*T1^11*T2^15 + 15*T1^12*T2^15 - 
      6*T1^13*T2^15 - 6*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 + 2*T1^10*T2^16 + 2*T1^11*T2^16 - 
      5*T1^12*T2^16 + 2*T1^13*T2^16 + 2*T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 105] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-5 + 35*T1 - 80*T1^2 + 105*T1^3 - 80*T1^4 + 35*T1^5 - 5*T1^6 + 35*T2 - 
      219*T1*T2 + 364*T1^2*T2 - 287*T1^3*T2 - 28*T1^4*T2 + 203*T1^5*T2 - 
      163*T1^6*T2 + 28*T1^7*T2 - 80*T2^2 + 364*T1*T2^2 + 73*T1^2*T2^2 - 
      1166*T1^3*T2^2 + 2125*T1^4*T2^2 - 1614*T1^5*T2^2 + 553*T1^6*T2^2 + 
      140*T1^7*T2^2 - 48*T1^8*T2^2 + 105*T2^3 - 287*T1*T2^3 - 
      1166*T1^2*T2^3 + 2693*T1^3*T2^3 - 2669*T1^4*T2^3 + 26*T1^5*T2^3 + 
      1503*T1^6*T2^3 - 1278*T1^7*T2^3 + 42*T1^8*T2^3 + 42*T1^9*T2^3 - 
      80*T2^4 - 28*T1*T2^4 + 2125*T1^2*T2^4 - 2669*T1^3*T2^4 + 
      793*T1^4*T2^4 + 2763*T1^5*T2^4 - 2363*T1^6*T2^4 + 397*T1^7*T2^4 + 
      1091*T1^8*T2^4 - 182*T1^9*T2^4 - 16*T1^10*T2^4 + 35*T2^5 + 
      203*T1*T2^5 - 1614*T1^2*T2^5 + 26*T1^3*T2^5 + 2763*T1^4*T2^5 - 
      4327*T1^5*T2^5 + 657*T1^6*T2^5 + 1867*T1^7*T2^5 - 1927*T1^8*T2^5 - 
      158*T1^9*T2^5 + 112*T1^10*T2^5 - 5*T2^6 - 163*T1*T2^6 + 553*T1^2*T2^6 + 
      1503*T1^3*T2^6 - 2363*T1^4*T2^6 + 657*T1^5*T2^6 + 3612*T1^6*T2^6 - 
      3613*T1^7*T2^6 + 1297*T1^8*T2^6 + 929*T1^9*T2^6 - 211*T1^10*T2^6 - 
      9*T1^11*T2^6 + T1^12*T2^6 + 28*T1*T2^7 + 140*T1^2*T2^7 - 
      1278*T1^3*T2^7 + 397*T1^4*T2^7 + 1867*T1^5*T2^7 - 3613*T1^6*T2^7 + 
      1371*T1^7*T2^7 + 971*T1^8*T2^7 - 1556*T1^9*T2^7 + 178*T1^10*T2^7 + 
      49*T1^11*T2^7 - 7*T1^12*T2^7 - 48*T1^2*T2^8 + 42*T1^3*T2^8 + 
      1091*T1^4*T2^8 - 1927*T1^5*T2^8 + 1297*T1^6*T2^8 + 971*T1^7*T2^8 - 
      1859*T1^8*T2^8 + 1139*T1^9*T2^8 + 57*T1^10*T2^8 - 112*T1^11*T2^8 + 
      16*T1^12*T2^8 + 42*T1^3*T2^9 - 182*T1^4*T2^9 - 158*T1^5*T2^9 + 
      929*T1^6*T2^9 - 1556*T1^7*T2^9 + 1139*T1^8*T2^9 - 261*T1^9*T2^9 - 
      270*T1^10*T2^9 + 147*T1^11*T2^9 - 21*T1^12*T2^9 - 16*T1^4*T2^10 + 
      112*T1^5*T2^10 - 211*T1^6*T2^10 + 178*T1^7*T2^10 + 57*T1^8*T2^10 - 
      270*T1^9*T2^10 + 269*T1^10*T2^10 - 112*T1^11*T2^10 + 16*T1^12*T2^10 - 
      9*T1^6*T2^11 + 49*T1^7*T2^11 - 112*T1^8*T2^11 + 147*T1^9*T2^11 - 
      112*T1^10*T2^11 + 47*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 
      7*T1^7*T2^12 + 16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 
      7*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 106] -> {(1 - T + T^2)^3/T^3, 
   (-2 + 6*T1 - 12*T1^2 + 14*T1^3 - 12*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 27*T1^2*T2 - 24*T1^3*T2 + 15*T1^4*T2 - 3*T1^6*T2 + 
     3*T1^7*T2 - 12*T2^2 + 27*T1*T2^2 - 52*T1^2*T2^2 + 48*T1^3*T2^2 - 
     36*T1^4*T2^2 + 8*T1^6*T2^2 - 9*T1^7*T2^2 + 14*T2^3 - 24*T1*T2^3 + 
     48*T1^2*T2^3 - 23*T1^3*T2^3 + T1^4*T2^3 + 46*T1^5*T2^3 - 17*T1^6*T2^3 - 
     6*T1^7*T2^3 + 21*T1^8*T2^3 - 7*T1^9*T2^3 - 12*T2^4 + 15*T1*T2^4 - 
     36*T1^2*T2^4 + T1^3*T2^4 + 2*T1^4*T2^4 - 24*T1^5*T2^4 - 46*T1^6*T2^4 + 
     43*T1^7*T2^4 - 18*T1^8*T2^4 - 15*T1^9*T2^4 + 12*T1^10*T2^4 + 6*T2^5 + 
     46*T1^3*T2^5 - 24*T1^4*T2^5 - 11*T1^5*T2^5 + 109*T1^6*T2^5 - 
     60*T1^7*T2^5 - 5*T1^8*T2^5 + 30*T1^9*T2^5 - 9*T1^10*T2^5 - 
     9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 8*T1^2*T2^6 - 17*T1^3*T2^6 - 
     46*T1^4*T2^6 + 109*T1^5*T2^6 - 120*T1^6*T2^6 - 17*T1^7*T2^6 + 
     98*T1^8*T2^6 - 59*T1^9*T2^6 + 8*T1^10*T2^6 + 15*T1^11*T2^6 + 
     4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 6*T1^3*T2^7 + 43*T1^4*T2^7 - 
     60*T1^5*T2^7 - 17*T1^6*T2^7 + 103*T1^7*T2^7 - 96*T1^8*T2^7 - 
     8*T1^9*T2^7 + 24*T1^10*T2^7 - 18*T1^11*T2^7 - 12*T1^12*T2^7 + 
     21*T1^3*T2^8 - 18*T1^4*T2^8 - 5*T1^5*T2^8 + 98*T1^6*T2^8 - 
     96*T1^7*T2^8 + 50*T1^8*T2^8 + 37*T1^9*T2^8 - 9*T1^11*T2^8 + 
     24*T1^12*T2^8 - 7*T1^3*T2^9 - 15*T1^4*T2^9 + 30*T1^5*T2^9 - 
     59*T1^6*T2^9 - 8*T1^7*T2^9 + 37*T1^8*T2^9 - 53*T1^9*T2^9 - 
     24*T1^10*T2^9 + 30*T1^11*T2^9 - 28*T1^12*T2^9 + 12*T1^4*T2^10 - 
     9*T1^5*T2^10 + 8*T1^6*T2^10 + 24*T1^7*T2^10 - 24*T1^9*T2^10 + 
     68*T1^10*T2^10 - 45*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 
     15*T1^6*T2^11 - 18*T1^7*T2^11 - 9*T1^8*T2^11 + 30*T1^9*T2^11 - 
     45*T1^10*T2^11 + 27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 
     12*T1^7*T2^12 + 24*T1^8*T2^12 - 28*T1^9*T2^12 + 24*T1^10*T2^12 - 
     12*T1^11*T2^12 + 4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 107] -> 
  {((1 - T + T^2)*(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6))/T^4, 
   (-6 + 18*T1 - 24*T1^2 + 12*T1^3 - 6*T1^4 + 12*T1^5 - 24*T1^6 + 18*T1^7 - 
     6*T1^8 + 18*T2 - 39*T1*T2 + 27*T1^2*T2 + 24*T1^3*T2 - 12*T1^4*T2 - 
     21*T1^5*T2 + 42*T1^6*T2 + 6*T1^7*T2 - 27*T1^8*T2 + 15*T1^9*T2 - 
     24*T2^2 + 27*T1*T2^2 + 22*T1^2*T2^2 - 83*T1^3*T2^2 + 2*T1^4*T2^2 + 
     34*T1^5*T2^2 - 22*T1^6*T2^2 - 75*T1^7*T2^2 + 46*T1^8*T2^2 + 
     3*T1^9*T2^2 - 16*T1^10*T2^2 + 12*T2^3 + 24*T1*T2^3 - 83*T1^2*T2^3 + 
     78*T1^3*T2^3 + 65*T1^4*T2^3 - 35*T1^5*T2^3 - 35*T1^6*T2^3 + 
     113*T1^7*T2^3 + 12*T1^8*T2^3 - 59*T1^9*T2^3 + 30*T1^10*T2^3 + 
     6*T1^11*T2^3 - 6*T2^4 - 12*T1*T2^4 + 2*T1^2*T2^4 + 65*T1^3*T2^4 - 
     145*T1^4*T2^4 + 34*T1^5*T2^4 + 15*T1^6*T2^4 + 2*T1^7*T2^4 - 
     133*T1^8*T2^4 + 93*T1^9*T2^4 - 18*T1^10*T2^4 - 12*T1^11*T2^4 - 
     2*T1^12*T2^4 + 12*T2^5 - 21*T1*T2^5 + 34*T1^2*T2^5 - 35*T1^3*T2^5 + 
     34*T1^4*T2^5 + 21*T1^5*T2^5 + 6*T1^6*T2^5 - 34*T1^7*T2^5 + 
     63*T1^8*T2^5 - 5*T1^9*T2^5 - 19*T1^10*T2^5 + 13*T1^11*T2^5 + 
     2*T1^13*T2^5 - 24*T2^6 + 42*T1*T2^6 - 22*T1^2*T2^6 - 35*T1^3*T2^6 + 
     15*T1^4*T2^6 + 6*T1^5*T2^6 - 29*T1^6*T2^6 - 13*T1^7*T2^6 + 
     43*T1^8*T2^6 - 34*T1^9*T2^6 + 15*T1^10*T2^6 - 11*T1^11*T2^6 + 
     10*T1^12*T2^6 - 6*T1^13*T2^6 + 18*T2^7 + 6*T1*T2^7 - 75*T1^2*T2^7 + 
     113*T1^3*T2^7 + 2*T1^4*T2^7 - 34*T1^5*T2^7 - 13*T1^6*T2^7 + 
     105*T1^7*T2^7 - 93*T1^8*T2^7 - T1^9*T2^7 + 6*T1^10*T2^7 + 
     13*T1^11*T2^7 - 15*T1^12*T2^7 - 3*T1^13*T2^7 + 9*T1^14*T2^7 - 
     3*T1^15*T2^7 - 6*T2^8 - 27*T1*T2^8 + 46*T1^2*T2^8 + 12*T1^3*T2^8 - 
     133*T1^4*T2^8 + 63*T1^5*T2^8 + 43*T1^6*T2^8 - 93*T1^7*T2^8 + 
     12*T1^8*T2^8 + 85*T1^9*T2^8 - 25*T1^10*T2^8 - 3*T1^11*T2^8 - 
     T1^12*T2^8 + 28*T1^13*T2^8 - 20*T1^14*T2^8 + 3*T1^15*T2^8 + 
     2*T1^16*T2^8 + 15*T1*T2^9 + 3*T1^2*T2^9 - 59*T1^3*T2^9 + 93*T1^4*T2^9 - 
     5*T1^5*T2^9 - 34*T1^6*T2^9 - T1^7*T2^9 + 85*T1^8*T2^9 - 113*T1^9*T2^9 + 
     11*T1^10*T2^9 + 6*T1^11*T2^9 + 6*T1^12*T2^9 - 35*T1^13*T2^9 + 
     13*T1^14*T2^9 + 6*T1^15*T2^9 - 6*T1^16*T2^9 - 16*T1^2*T2^10 + 
     30*T1^3*T2^10 - 18*T1^4*T2^10 - 19*T1^5*T2^10 + 15*T1^6*T2^10 + 
     6*T1^7*T2^10 - 25*T1^8*T2^10 + 11*T1^9*T2^10 + 47*T1^10*T2^10 - 
     34*T1^11*T2^10 + 15*T1^12*T2^10 + 5*T1^13*T2^10 + 14*T1^14*T2^10 - 
     18*T1^15*T2^10 + 8*T1^16*T2^10 + 6*T1^3*T2^11 - 12*T1^4*T2^11 + 
     13*T1^5*T2^11 - 11*T1^6*T2^11 + 13*T1^7*T2^11 - 3*T1^8*T2^11 + 
     6*T1^9*T2^11 - 34*T1^10*T2^11 + 39*T1^11*T2^11 - 26*T1^12*T2^11 + 
     5*T1^13*T2^11 - 8*T1^14*T2^11 + 9*T1^15*T2^11 - 4*T1^16*T2^11 - 
     2*T1^4*T2^12 + 10*T1^6*T2^12 - 15*T1^7*T2^12 - T1^8*T2^12 + 
     6*T1^9*T2^12 + 15*T1^10*T2^12 - 26*T1^11*T2^12 + 11*T1^12*T2^12 + 
     13*T1^13*T2^12 - 10*T1^14*T2^12 + 2*T1^16*T2^12 + 2*T1^5*T2^13 - 
     6*T1^6*T2^13 - 3*T1^7*T2^13 + 28*T1^8*T2^13 - 35*T1^9*T2^13 + 
     5*T1^10*T2^13 + 5*T1^11*T2^13 + 13*T1^12*T2^13 - 38*T1^13*T2^13 + 
     21*T1^14*T2^13 - 4*T1^16*T2^13 + 9*T1^7*T2^14 - 20*T1^8*T2^14 + 
     13*T1^9*T2^14 + 14*T1^10*T2^14 - 8*T1^11*T2^14 - 10*T1^12*T2^14 + 
     21*T1^13*T2^14 + 4*T1^14*T2^14 - 15*T1^15*T2^14 + 8*T1^16*T2^14 - 
     3*T1^7*T2^15 + 3*T1^8*T2^15 + 6*T1^9*T2^15 - 18*T1^10*T2^15 + 
     9*T1^11*T2^15 - 15*T1^14*T2^15 + 15*T1^15*T2^15 - 6*T1^16*T2^15 + 
     2*T1^8*T2^16 - 6*T1^9*T2^16 + 8*T1^10*T2^16 - 4*T1^11*T2^16 + 
     2*T1^12*T2^16 - 4*T1^13*T2^16 + 8*T1^14*T2^16 - 6*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 108] -> 
  {-((1 - 8*T + 17*T^2 - 21*T^3 + 17*T^4 - 8*T^5 + T^6)/T^3), 
   -((-1 + 8*T1 - 17*T1^2 + 21*T1^3 - 17*T1^4 + 8*T1^5 - T1^6 + 8*T2 - 
      62*T1*T2 + 141*T1^2*T2 - 173*T1^3*T2 + 131*T1^4*T2 - 59*T1^5*T2 + 
      10*T1^6*T2 - 17*T2^2 + 141*T1*T2^2 - 331*T1^2*T2^2 + 289*T1^3*T2^2 - 
      53*T1^4*T2^2 - 153*T1^5*T2^2 + 213*T1^6*T2^2 - 131*T1^7*T2^2 + 
      17*T1^8*T2^2 + 21*T2^3 - 173*T1*T2^3 + 289*T1^2*T2^3 + 581*T1^3*T2^3 - 
      1628*T1^4*T2^3 + 1965*T1^5*T2^3 - 1433*T1^6*T2^3 + 442*T1^7*T2^3 + 
      195*T1^8*T2^3 - 42*T1^9*T2^3 - 17*T2^4 + 131*T1*T2^4 - 53*T1^2*T2^4 - 
      1628*T1^3*T2^4 + 2086*T1^4*T2^4 - 766*T1^5*T2^4 - 1194*T1^6*T2^4 + 
      2320*T1^7*T2^4 - 1585*T1^8*T2^4 - 77*T1^9*T2^4 + 51*T1^10*T2^4 + 
      8*T2^5 - 59*T1*T2^5 - 153*T1^2*T2^5 + 1965*T1^3*T2^5 - 766*T1^4*T2^5 - 
      1377*T1^5*T2^5 + 2349*T1^6*T2^5 - 1395*T1^7*T2^5 - 918*T1^8*T2^5 + 
      2074*T1^9*T2^5 - 147*T1^10*T2^5 - 32*T1^11*T2^5 - T2^6 + 10*T1*T2^6 + 
      213*T1^2*T2^6 - 1433*T1^3*T2^6 - 1194*T1^4*T2^6 + 2349*T1^5*T2^6 - 
      1164*T1^6*T2^6 - 1117*T1^7*T2^6 + 2780*T1^8*T2^6 - 1831*T1^9*T2^6 - 
      1155*T1^10*T2^6 + 218*T1^11*T2^6 + 5*T1^12*T2^6 - 131*T1^2*T2^7 + 
      442*T1^3*T2^7 + 2320*T1^4*T2^7 - 1395*T1^5*T2^7 - 1117*T1^6*T2^7 + 
      2609*T1^7*T2^7 - 2024*T1^8*T2^7 - 563*T1^9*T2^7 + 2669*T1^10*T2^7 - 
      219*T1^11*T2^7 - 40*T1^12*T2^7 + 17*T1^2*T2^8 + 195*T1^3*T2^8 - 
      1585*T1^4*T2^8 - 918*T1^5*T2^8 + 2780*T1^6*T2^8 - 2024*T1^7*T2^8 - 
      500*T1^8*T2^8 + 3030*T1^9*T2^8 - 3117*T1^10*T2^8 - 13*T1^11*T2^8 + 
      85*T1^12*T2^8 - 42*T1^3*T2^9 - 77*T1^4*T2^9 + 2074*T1^5*T2^9 - 
      1831*T1^6*T2^9 - 563*T1^7*T2^9 + 3030*T1^8*T2^9 - 3845*T1^9*T2^9 + 
      2227*T1^10*T2^9 + 291*T1^11*T2^9 - 105*T1^12*T2^9 + 51*T1^4*T2^10 - 
      147*T1^5*T2^10 - 1155*T1^6*T2^10 + 2669*T1^7*T2^10 - 3117*T1^8*T2^10 + 
      2227*T1^9*T2^10 - 611*T1^10*T2^10 - 419*T1^11*T2^10 + 85*T1^12*T2^10 - 
      32*T1^5*T2^11 + 218*T1^6*T2^11 - 219*T1^7*T2^11 - 13*T1^8*T2^11 + 
      291*T1^9*T2^11 - 419*T1^10*T2^11 + 290*T1^11*T2^11 - 40*T1^12*T2^11 + 
      5*T1^6*T2^12 - 40*T1^7*T2^12 + 85*T1^8*T2^12 - 105*T1^9*T2^12 + 
      85*T1^10*T2^12 - 40*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 109] -> 
  {-((1 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + T^6)/T^3), 
   -((-1 + 7*T1 - 13*T1^2 + 15*T1^3 - 13*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      47*T1*T2 + 94*T1^2*T2 - 108*T1^3*T2 + 88*T1^4*T2 - 46*T1^5*T2 + 
      9*T1^6*T2 - 13*T2^2 + 94*T1*T2^2 - 202*T1^2*T2^2 + 162*T1^3*T2^2 - 
      52*T1^4*T2^2 - 46*T1^5*T2^2 + 110*T1^6*T2^2 - 88*T1^7*T2^2 + 
      13*T1^8*T2^2 + 15*T2^3 - 108*T1*T2^3 + 162*T1^2*T2^3 + 338*T1^3*T2^3 - 
      767*T1^4*T2^3 + 881*T1^5*T2^3 - 762*T1^6*T2^3 + 305*T1^7*T2^3 + 
      116*T1^8*T2^3 - 30*T1^9*T2^3 - 13*T2^4 + 88*T1*T2^4 - 52*T1^2*T2^4 - 
      767*T1^3*T2^4 + 721*T1^4*T2^4 - 185*T1^5*T2^4 - 335*T1^6*T2^4 + 
      973*T1^7*T2^4 - 846*T1^8*T2^4 - 66*T1^9*T2^4 + 39*T1^10*T2^4 + 7*T2^5 - 
      46*T1*T2^5 - 46*T1^2*T2^5 + 881*T1^3*T2^5 - 185*T1^4*T2^5 - 
      185*T1^5*T2^5 + 95*T1^6*T2^5 - 172*T1^7*T2^5 - 583*T1^8*T2^5 + 
      1215*T1^9*T2^5 - 74*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 9*T1*T2^6 + 
      110*T1^2*T2^6 - 762*T1^3*T2^6 - 335*T1^4*T2^6 + 95*T1^5*T2^6 + 
      372*T1^6*T2^6 - 299*T1^7*T2^6 + 859*T1^8*T2^6 - 670*T1^9*T2^6 - 
      846*T1^10*T2^6 + 163*T1^11*T2^6 + 5*T1^12*T2^6 - 88*T1^2*T2^7 + 
      305*T1^3*T2^7 + 973*T1^4*T2^7 - 172*T1^5*T2^7 - 299*T1^6*T2^7 - 
      19*T1^7*T2^7 - 159*T1^8*T2^7 - 491*T1^9*T2^7 + 1566*T1^10*T2^7 - 
      116*T1^11*T2^7 - 35*T1^12*T2^7 + 13*T1^2*T2^8 + 116*T1^3*T2^8 - 
      846*T1^4*T2^8 - 583*T1^5*T2^8 + 859*T1^6*T2^8 - 159*T1^7*T2^8 - 
      197*T1^8*T2^8 + 1157*T1^9*T2^8 - 1640*T1^10*T2^8 - 38*T1^11*T2^8 + 
      65*T1^12*T2^8 - 30*T1^3*T2^9 - 66*T1^4*T2^9 + 1215*T1^5*T2^9 - 
      670*T1^6*T2^9 - 491*T1^7*T2^9 + 1157*T1^8*T2^9 - 1770*T1^9*T2^9 + 
      1358*T1^10*T2^9 + 158*T1^11*T2^9 - 75*T1^12*T2^9 + 39*T1^4*T2^10 - 
      74*T1^5*T2^10 - 846*T1^6*T2^10 + 1566*T1^7*T2^10 - 1640*T1^8*T2^10 + 
      1358*T1^9*T2^10 - 534*T1^10*T2^10 - 256*T1^11*T2^10 + 65*T1^12*T2^10 - 
      28*T1^5*T2^11 + 163*T1^6*T2^11 - 116*T1^7*T2^11 - 38*T1^8*T2^11 + 
      158*T1^9*T2^11 - 256*T1^10*T2^11 + 219*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 65*T1^8*T2^12 - 75*T1^9*T2^12 + 
      65*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 110] -> 
  {-((1 - 4*T + 9*T^2 - 13*T^3 + 9*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 27*T1^2 + 39*T1^3 - 27*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 76*T1^2*T2 - 84*T1^3*T2 + 4*T1^4*T2 + 24*T1^5*T2 - 
      20*T1^6*T2 + 8*T1^7*T2 - 27*T2^2 + 76*T1*T2^2 - 133*T1^2*T2^2 + 
      129*T1^3*T2^2 + 55*T1^4*T2^2 - 33*T1^5*T2^2 + 11*T1^6*T2^2 + 
      4*T1^7*T2^2 - 9*T1^8*T2^2 + 39*T2^3 - 84*T1*T2^3 + 129*T1^2*T2^3 - 
      73*T1^3*T2^3 - 239*T1^4*T2^3 + 46*T1^5*T2^3 + 5*T1^6*T2^3 - 
      42*T1^7*T2^3 + 36*T1^8*T2^3 - 27*T2^4 + 4*T1*T2^4 + 55*T1^2*T2^4 - 
      239*T1^3*T2^4 + 532*T1^4*T2^4 + 46*T1^5*T2^4 - 116*T1^6*T2^4 + 
      125*T1^7*T2^4 - 37*T1^8*T2^4 - 36*T1^9*T2^4 + 9*T1^10*T2^4 + 12*T2^5 + 
      24*T1*T2^5 - 33*T1^2*T2^5 + 46*T1^3*T2^5 + 46*T1^4*T2^5 - 
      799*T1^5*T2^5 + 471*T1^6*T2^5 - 143*T1^7*T2^5 - 81*T1^8*T2^5 + 
      102*T1^9*T2^5 - 4*T1^10*T2^5 - 8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 
      11*T1^2*T2^6 + 5*T1^3*T2^6 - 116*T1^4*T2^6 + 471*T1^5*T2^6 + 
      156*T1^6*T2^6 - 499*T1^7*T2^6 + 402*T1^8*T2^6 - 145*T1^9*T2^6 - 
      29*T1^10*T2^6 + 20*T1^11*T2^6 + 3*T1^12*T2^6 + 8*T1*T2^7 + 
      4*T1^2*T2^7 - 42*T1^3*T2^7 + 125*T1^4*T2^7 - 143*T1^5*T2^7 - 
      499*T1^6*T2^7 + 771*T1^7*T2^7 - 332*T1^8*T2^7 - 2*T1^9*T2^7 + 
      93*T1^10*T2^7 - 24*T1^11*T2^7 - 12*T1^12*T2^7 - 9*T1^2*T2^8 + 
      36*T1^3*T2^8 - 37*T1^4*T2^8 - 81*T1^5*T2^8 + 402*T1^6*T2^8 - 
      332*T1^7*T2^8 - 246*T1^8*T2^8 + 283*T1^9*T2^8 - 129*T1^10*T2^8 - 
      4*T1^11*T2^8 + 27*T1^12*T2^8 - 36*T1^4*T2^9 + 102*T1^5*T2^9 - 
      145*T1^6*T2^9 - 2*T1^7*T2^9 + 283*T1^8*T2^9 - 67*T1^9*T2^9 - 
      69*T1^10*T2^9 + 84*T1^11*T2^9 - 39*T1^12*T2^9 + 9*T1^4*T2^10 - 
      4*T1^5*T2^10 - 29*T1^6*T2^10 + 93*T1^7*T2^10 - 129*T1^8*T2^10 - 
      69*T1^9*T2^10 + 115*T1^10*T2^10 - 76*T1^11*T2^10 + 27*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 24*T1^7*T2^11 - 4*T1^8*T2^11 + 
      84*T1^9*T2^11 - 76*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 
      3*T1^6*T2^12 - 12*T1^7*T2^12 + 27*T1^8*T2^12 - 39*T1^9*T2^12 + 
      27*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 111] -> 
  {-((1 - T - 3*T^2 + 5*T^3 - 3*T^4 - T^5 + T^6)/T^3), 
   -((-5 + 5*T1 + 15*T1^2 - 25*T1^3 + 15*T1^4 + 5*T1^5 - 5*T1^6 + 5*T2 + 
      T1*T2 - 24*T1^2*T2 + 15*T1^3*T2 + 7*T1^4*T2 - 22*T1^5*T2 + 3*T1^6*T2 + 
      4*T1^7*T2 + 15*T2^2 - 24*T1*T2^2 - 23*T1^2*T2^2 + 79*T1^3*T2^2 - 
      91*T1^4*T2^2 + 43*T1^5*T2^2 + T1^6*T2^2 - 18*T1^7*T2^2 + 9*T1^8*T2^2 - 
      25*T2^3 + 15*T1*T2^3 + 79*T1^2*T2^3 - 98*T1^3*T2^3 + 45*T1^4*T2^3 + 
      39*T1^5*T2^3 - 44*T1^6*T2^3 + 28*T1^7*T2^3 + 3*T1^8*T2^3 - 
      10*T1^9*T2^3 + 15*T2^4 + 7*T1*T2^4 - 91*T1^2*T2^4 + 45*T1^3*T2^4 + 
      115*T1^4*T2^4 - 189*T1^5*T2^4 + 103*T1^6*T2^4 + 25*T1^7*T2^4 - 
      45*T1^8*T2^4 + 9*T1^9*T2^4 + 3*T1^10*T2^4 + 5*T2^5 - 22*T1*T2^5 + 
      43*T1^2*T2^5 + 39*T1^3*T2^5 - 189*T1^4*T2^5 + 137*T1^5*T2^5 + 
      9*T1^6*T2^5 - 108*T1^7*T2^5 + 17*T1^8*T2^5 + 34*T1^9*T2^5 - 
      8*T1^10*T2^5 - 5*T2^6 + 3*T1*T2^6 + T1^2*T2^6 - 44*T1^3*T2^6 + 
      103*T1^4*T2^6 + 9*T1^5*T2^6 - 108*T1^6*T2^6 + 95*T1^7*T2^6 + 
      33*T1^8*T2^6 - 44*T1^9*T2^6 - 3*T1^10*T2^6 + T1^11*T2^6 + T1^12*T2^6 + 
      4*T1*T2^7 - 18*T1^2*T2^7 + 28*T1^3*T2^7 + 25*T1^4*T2^7 - 
      108*T1^5*T2^7 + 95*T1^6*T2^7 - 33*T1^7*T2^7 - 27*T1^8*T2^7 + 
      3*T1^9*T2^7 + 19*T1^10*T2^7 - 4*T1^11*T2^7 - T1^12*T2^7 + 9*T1^2*T2^8 + 
      3*T1^3*T2^8 - 45*T1^4*T2^8 + 17*T1^5*T2^8 + 33*T1^6*T2^8 - 
      27*T1^7*T2^8 + 21*T1^8*T2^8 - 3*T1^9*T2^8 + T1^10*T2^8 + 5*T1^11*T2^8 - 
      3*T1^12*T2^8 - 10*T1^3*T2^9 + 9*T1^4*T2^9 + 34*T1^5*T2^9 - 
      44*T1^6*T2^9 + 3*T1^7*T2^9 - 3*T1^8*T2^9 + 10*T1^9*T2^9 - 
      17*T1^10*T2^9 - 3*T1^11*T2^9 + 5*T1^12*T2^9 + 3*T1^4*T2^10 - 
      8*T1^5*T2^10 - 3*T1^6*T2^10 + 19*T1^7*T2^10 + T1^8*T2^10 - 
      17*T1^9*T2^10 + 21*T1^10*T2^10 - 2*T1^11*T2^10 - 3*T1^12*T2^10 + 
      T1^6*T2^11 - 4*T1^7*T2^11 + 5*T1^8*T2^11 - 3*T1^9*T2^11 - 
      2*T1^10*T2^11 + 3*T1^11*T2^11 - T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - 
      3*T1^8*T2^12 + 5*T1^9*T2^12 - 3*T1^10*T2^12 - T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 112] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 52*T1^2 + 68*T1^3 - 52*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 186*T1^2*T2 - 145*T1^3*T2 + 5*T1^4*T2 + 96*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 52*T2^2 + 186*T1*T2^2 - 334*T1^2*T2^2 + 
     42*T1^3*T2^2 + 254*T1^4*T2^2 - 270*T1^5*T2^2 - 22*T1^6*T2^2 + 
     56*T1^7*T2^2 - 26*T1^8*T2^2 + 68*T2^3 - 145*T1*T2^3 + 42*T1^2*T2^3 + 
     758*T1^3*T2^3 - 822*T1^4*T2^3 + 210*T1^5*T2^3 + 506*T1^6*T2^3 - 
     231*T1^7*T2^3 + 45*T1^8*T2^3 + 17*T1^9*T2^3 - 52*T2^4 + 5*T1*T2^4 + 
     254*T1^2*T2^4 - 822*T1^3*T2^4 - 346*T1^4*T2^4 + 1596*T1^5*T2^4 - 
     1762*T1^6*T2^4 + 334*T1^7*T2^4 + 80*T1^8*T2^4 - 85*T1^9*T2^4 + 20*T2^5 + 
     96*T1*T2^5 - 270*T1^2*T2^5 + 210*T1^3*T2^5 + 1596*T1^4*T2^5 - 
     2187*T1^5*T2^5 + 1083*T1^6*T2^5 + 803*T1^7*T2^5 - 574*T1^8*T2^5 + 
     159*T1^9*T2^5 + 26*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     22*T1^2*T2^6 + 506*T1^3*T2^6 - 1762*T1^4*T2^6 + 1083*T1^5*T2^6 + 
     696*T1^6*T2^6 - 1803*T1^7*T2^6 + 672*T1^8*T2^6 + 14*T1^9*T2^6 - 
     106*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     56*T1^2*T2^7 - 231*T1^3*T2^7 + 334*T1^4*T2^7 + 803*T1^5*T2^7 - 
     1803*T1^6*T2^7 + 1467*T1^7*T2^7 + 10*T1^8*T2^7 - 450*T1^9*T2^7 + 
     198*T1^10*T2^7 - 14*T1^11*T2^7 - 10*T1^12*T2^7 - 26*T1^2*T2^8 + 
     45*T1^3*T2^8 + 80*T1^4*T2^8 - 574*T1^5*T2^8 + 672*T1^6*T2^8 + 
     10*T1^7*T2^8 - 744*T1^8*T2^8 + 582*T1^9*T2^8 - 94*T1^10*T2^8 - 
     45*T1^11*T2^8 + 26*T1^12*T2^8 + 17*T1^3*T2^9 - 85*T1^4*T2^9 + 
     159*T1^5*T2^9 + 14*T1^6*T2^9 - 450*T1^7*T2^9 + 582*T1^8*T2^9 - 
     238*T1^9*T2^9 - 114*T1^10*T2^9 + 105*T1^11*T2^9 - 34*T1^12*T2^9 + 
     26*T1^5*T2^10 - 106*T1^6*T2^10 + 198*T1^7*T2^10 - 94*T1^8*T2^10 - 
     114*T1^9*T2^10 + 206*T1^10*T2^10 - 104*T1^11*T2^10 + 26*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 14*T1^7*T2^11 - 45*T1^8*T2^11 + 
     105*T1^9*T2^11 - 104*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 26*T1^8*T2^12 - 34*T1^9*T2^12 + 
     26*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 113] -> 
  {-((1 - 9*T + 15*T^2 - 9*T^3 + T^4)/T^2), 
   -((-1 + 9*T1 - 15*T1^2 + 9*T1^3 - T1^4 + 9*T2 - 61*T1*T2 + 122*T1^2*T2 - 
      94*T1^3*T2 + 29*T1^4*T2 - 15*T2^2 + 122*T1*T2^2 - 439*T1^2*T2^2 + 
      389*T1^3*T2^2 - 19*T1^4*T2^2 - 148*T1^5*T2^2 + 15*T1^6*T2^2 + 9*T2^3 - 
      94*T1*T2^3 + 389*T1^2*T2^3 + 860*T1^3*T2^3 - 2110*T1^4*T2^3 + 
      1334*T1^5*T2^3 + 14*T1^6*T2^3 - 18*T1^7*T2^3 - T2^4 + 29*T1*T2^4 - 
      19*T1^2*T2^4 - 2110*T1^3*T2^4 + 2532*T1^4*T2^4 + 122*T1^5*T2^4 - 
      1417*T1^6*T2^4 + 155*T1^7*T2^4 + 3*T1^8*T2^4 - 148*T1^2*T2^5 + 
      1334*T1^3*T2^5 + 122*T1^4*T2^5 - 2848*T1^5*T2^5 + 2279*T1^6*T2^5 - 
      40*T1^7*T2^5 - 27*T1^8*T2^5 + 15*T1^2*T2^6 + 14*T1^3*T2^6 - 
      1417*T1^4*T2^6 + 2279*T1^5*T2^6 - 997*T1^6*T2^6 - 256*T1^7*T2^6 + 
      45*T1^8*T2^6 - 18*T1^3*T2^7 + 155*T1^4*T2^7 - 40*T1^5*T2^7 - 
      256*T1^6*T2^7 + 245*T1^7*T2^7 - 27*T1^8*T2^7 + 3*T1^4*T2^8 - 
      27*T1^5*T2^8 + 45*T1^6*T2^8 - 27*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 114] -> 
  {(3 - 13*T + 21*T^2 - 13*T^3 + 3*T^4)/T^2, 
   (-57 + 246*T1 - 397*T1^2 + 246*T1^3 - 57*T1^4 + 246*T2 - 933*T1*T2 + 
     1161*T1^2*T2 - 165*T1^3*T2 - 309*T1^4*T2 + 129*T1^5*T2 - 397*T2^2 + 
     1161*T1*T2^2 - 418*T1^2*T2^2 - 2042*T1^3*T2^2 + 1850*T1^4*T2^2 - 
     477*T1^5*T2^2 - 19*T1^6*T2^2 + 246*T2^3 - 165*T1*T2^3 - 2042*T1^2*T2^3 + 
     4738*T1^3*T2^3 - 2672*T1^4*T2^3 - 131*T1^5*T2^3 + 537*T1^6*T2^3 - 
     105*T1^7*T2^3 - 57*T2^4 - 309*T1*T2^4 + 1850*T1^2*T2^4 - 
     2672*T1^3*T2^4 - 372*T1^4*T2^4 + 2944*T1^5*T2^4 - 1788*T1^6*T2^4 + 
     237*T1^7*T2^4 + 51*T1^8*T2^4 + 129*T1*T2^5 - 477*T1^2*T2^5 - 
     131*T1^3*T2^5 + 2944*T1^4*T2^5 - 4466*T1^5*T2^5 + 1780*T1^6*T2^5 + 
     225*T1^7*T2^5 - 222*T1^8*T2^5 - 19*T1^2*T2^6 + 537*T1^3*T2^6 - 
     1788*T1^4*T2^6 + 1780*T1^5*T2^6 + 480*T1^6*T2^6 - 1101*T1^7*T2^6 + 
     359*T1^8*T2^6 - 105*T1^3*T2^7 + 237*T1^4*T2^7 + 225*T1^5*T2^7 - 
     1101*T1^6*T2^7 + 861*T1^7*T2^7 - 222*T1^8*T2^7 + 51*T1^4*T2^8 - 
     222*T1^5*T2^8 + 359*T1^6*T2^8 - 222*T1^7*T2^8 + 51*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 115] -> 
  {-((1 - 6*T + 18*T^2 - 27*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 54*T1^2 + 81*T1^3 - 54*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 252*T1^2*T2 - 270*T1^3*T2 + 108*T1^5*T2 - 54*T1^6*T2 + 
      12*T1^7*T2 - 54*T2^2 + 252*T1*T2^2 - 553*T1^2*T2^2 + 259*T1^3*T2^2 + 
      657*T1^4*T2^2 - 497*T1^5*T2^2 + 59*T1^6*T2^2 + 36*T1^7*T2^2 - 
      18*T1^8*T2^2 + 81*T2^3 - 270*T1*T2^3 + 259*T1^2*T2^3 + 1053*T1^3*T2^3 - 
      2408*T1^4*T2^3 + 508*T1^5*T2^3 + 729*T1^6*T2^3 - 443*T1^7*T2^3 + 
      108*T1^8*T2^3 - 54*T2^4 + 657*T1^2*T2^4 - 2408*T1^3*T2^4 + 
      1989*T1^4*T2^4 + 2945*T1^5*T2^4 - 3591*T1^6*T2^4 + 1156*T1^7*T2^4 + 
      9*T1^8*T2^4 - 108*T1^9*T2^4 + 18*T1^10*T2^4 + 18*T2^5 + 108*T1*T2^5 - 
      497*T1^2*T2^5 + 508*T1^3*T2^5 + 2945*T1^4*T2^5 - 8464*T1^5*T2^5 + 
      5840*T1^6*T2^5 - 187*T1^7*T2^5 - 1112*T1^8*T2^5 + 421*T1^9*T2^5 - 
      36*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 59*T1^2*T2^6 + 
      729*T1^3*T2^6 - 3591*T1^4*T2^6 + 5840*T1^5*T2^6 - 708*T1^6*T2^6 - 
      5356*T1^7*T2^6 + 3645*T1^8*T2^6 - 729*T1^9*T2^6 - 49*T1^10*T2^6 + 
      54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 36*T1^2*T2^7 - 
      443*T1^3*T2^7 + 1156*T1^4*T2^7 - 187*T1^5*T2^7 - 5356*T1^6*T2^7 + 
      8948*T1^7*T2^7 - 3319*T1^8*T2^7 - 464*T1^9*T2^7 + 475*T1^10*T2^7 - 
      108*T1^11*T2^7 - 18*T1^12*T2^7 - 18*T1^2*T2^8 + 108*T1^3*T2^8 + 
      9*T1^4*T2^8 - 1112*T1^5*T2^8 + 3645*T1^6*T2^8 - 3319*T1^7*T2^8 - 
      1935*T1^8*T2^8 + 2452*T1^9*T2^8 - 639*T1^10*T2^8 + 54*T1^12*T2^8 - 
      108*T1^4*T2^9 + 421*T1^5*T2^9 - 729*T1^6*T2^9 - 464*T1^7*T2^9 + 
      2452*T1^8*T2^9 - 1053*T1^9*T2^9 - 281*T1^10*T2^9 + 270*T1^11*T2^9 - 
      81*T1^12*T2^9 + 18*T1^4*T2^10 - 36*T1^5*T2^10 - 49*T1^6*T2^10 + 
      475*T1^7*T2^10 - 639*T1^8*T2^10 - 281*T1^9*T2^10 + 563*T1^10*T2^10 - 
      252*T1^11*T2^10 + 54*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 
      108*T1^7*T2^11 + 270*T1^9*T2^11 - 252*T1^10*T2^11 + 96*T1^11*T2^11 - 
      18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 54*T1^8*T2^12 - 
      81*T1^9*T2^12 + 54*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 116] -> 
  {-(((-1 - T + T^2)*(-1 + T + T^2))/T^2), 
   -((-1 + 3*T1^2 - T1^4 - 4*T1*T2 + 5*T1^2*T2 + 5*T1^3*T2 - 4*T1^4*T2 + 
      3*T2^2 + 5*T1*T2^2 - 13*T1^2*T2^2 - 13*T1^3*T2^2 + 11*T1^4*T2^2 + 
      5*T1^5*T2^2 - 3*T1^6*T2^2 + 5*T1*T2^3 - 13*T1^2*T2^3 + 8*T1^3*T2^3 + 
      8*T1^4*T2^3 - 13*T1^5*T2^3 + 5*T1^6*T2^3 - T2^4 - 4*T1*T2^4 + 
      11*T1^2*T2^4 + 8*T1^3*T2^4 - 24*T1^4*T2^4 + 8*T1^5*T2^4 - T1^6*T2^4 - 
      4*T1^7*T2^4 + 3*T1^8*T2^4 + 5*T1^2*T2^5 - 13*T1^3*T2^5 + 8*T1^4*T2^5 + 
      8*T1^5*T2^5 - 13*T1^6*T2^5 + 5*T1^7*T2^5 - 3*T1^2*T2^6 + 5*T1^3*T2^6 - 
      T1^4*T2^6 - 13*T1^5*T2^6 + 23*T1^6*T2^6 + 5*T1^7*T2^6 - 9*T1^8*T2^6 - 
      4*T1^4*T2^7 + 5*T1^5*T2^7 + 5*T1^6*T2^7 - 4*T1^7*T2^7 + 3*T1^4*T2^8 - 
      9*T1^6*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 117] -> {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   -((-78 + 231*T1 - 280*T1^2 + 231*T1^3 - 78*T1^4 + 231*T2 - 535*T1*T2 + 
      391*T1^2*T2 - 149*T1^3*T2 - 211*T1^4*T2 + 150*T1^5*T2 - 280*T2^2 + 
      391*T1*T2^2 + 229*T1^2*T2^2 - 579*T1^3*T2^2 + 757*T1^4*T2^2 - 
      203*T1^5*T2^2 - 82*T1^6*T2^2 + 231*T2^3 - 149*T1*T2^3 - 579*T1^2*T2^3 + 
      646*T1^3*T2^3 - 362*T1^4*T2^3 - 282*T1^5*T2^3 + 283*T1^6*T2^3 - 
      12*T1^7*T2^3 - 78*T2^4 - 211*T1*T2^4 + 757*T1^2*T2^4 - 362*T1^3*T2^4 - 
      300*T1^4*T2^4 + 610*T1^5*T2^4 - 305*T1^6*T2^4 - 49*T1^7*T2^4 + 
      30*T1^8*T2^4 + 150*T1*T2^5 - 203*T1^2*T2^5 - 282*T1^3*T2^5 + 
      610*T1^4*T2^5 - 398*T1^5*T2^5 + 15*T1^6*T2^5 + 229*T1^7*T2^5 - 
      93*T1^8*T2^5 - 82*T1^2*T2^6 + 283*T1^3*T2^6 - 305*T1^4*T2^6 + 
      15*T1^5*T2^6 + 223*T1^6*T2^6 - 311*T1^7*T2^6 + 116*T1^8*T2^6 - 
      12*T1^3*T2^7 - 49*T1^4*T2^7 + 229*T1^5*T2^7 - 311*T1^6*T2^7 + 
      275*T1^7*T2^7 - 93*T1^8*T2^7 + 30*T1^4*T2^8 - 93*T1^5*T2^8 + 
      116*T1^6*T2^8 - 93*T1^7*T2^8 + 30*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 118] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((-5 + 20*T1 - 20*T1^2 + 15*T1^3 - 20*T1^4 + 20*T1^5 - 5*T1^6 + 20*T2 - 
      64*T1*T2 + 14*T1^2*T2 + 5*T1^3*T2 + 33*T1^4*T2 - 18*T1^5*T2 - 
      44*T1^6*T2 + 16*T1^7*T2 - 20*T2^2 + 14*T1*T2^2 + 172*T1^2*T2^2 - 
      151*T1^3*T2^2 + 64*T1^4*T2^2 - 143*T1^5*T2^2 + 196*T1^6*T2^2 - 
      18*T1^7*T2^2 - 12*T1^8*T2^2 + 15*T2^3 + 5*T1*T2^3 - 151*T1^2*T2^3 + 
      23*T1^3*T2^3 + 38*T1^4*T2^3 + 78*T1^5*T2^3 - 69*T1^6*T2^3 - 
      107*T1^7*T2^3 + 25*T1^8*T2^3 + 6*T1^9*T2^3 - 20*T2^4 + 33*T1*T2^4 + 
      64*T1^2*T2^4 + 38*T1^3*T2^4 - 54*T1^4*T2^4 - 28*T1^5*T2^4 + 
      18*T1^6*T2^4 + 62*T1^7*T2^4 + 32*T1^8*T2^4 - 7*T1^9*T2^4 - 
      4*T1^10*T2^4 + 20*T2^5 - 18*T1*T2^5 - 143*T1^2*T2^5 + 78*T1^3*T2^5 - 
      28*T1^4*T2^5 + 98*T1^5*T2^5 - 102*T1^6*T2^5 - 12*T1^7*T2^5 + 
      6*T1^8*T2^5 - 43*T1^9*T2^5 + 14*T1^10*T2^5 - 5*T2^6 - 44*T1*T2^6 + 
      196*T1^2*T2^6 - 69*T1^3*T2^6 + 18*T1^4*T2^6 - 102*T1^5*T2^6 + 
      36*T1^6*T2^6 + 98*T1^7*T2^6 - 54*T1^8*T2^6 + 41*T1^9*T2^6 - 
      4*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 + 16*T1*T2^7 - 18*T1^2*T2^7 - 
      107*T1^3*T2^7 + 62*T1^4*T2^7 - 12*T1^5*T2^7 + 98*T1^6*T2^7 - 
      102*T1^7*T2^7 + 4*T1^8*T2^7 - 10*T1^9*T2^7 - 7*T1^10*T2^7 + 
      14*T1^11*T2^7 - 4*T1^12*T2^7 - 12*T1^2*T2^8 + 25*T1^3*T2^8 + 
      32*T1^4*T2^8 + 6*T1^5*T2^8 - 54*T1^6*T2^8 + 4*T1^7*T2^8 + 
      18*T1^8*T2^8 + 30*T1^9*T2^8 - 15*T1^11*T2^8 + 4*T1^12*T2^8 + 
      6*T1^3*T2^9 - 7*T1^4*T2^9 - 43*T1^5*T2^9 + 41*T1^6*T2^9 - 
      10*T1^7*T2^9 + 30*T1^8*T2^9 - 51*T1^9*T2^9 + T1^10*T2^9 + 
      13*T1^11*T2^9 - 3*T1^12*T2^9 - 4*T1^4*T2^10 + 14*T1^5*T2^10 - 
      4*T1^6*T2^10 - 7*T1^7*T2^10 + T1^9*T2^10 + 20*T1^10*T2^10 - 
      18*T1^11*T2^10 + 4*T1^12*T2^10 - 4*T1^6*T2^11 + 14*T1^7*T2^11 - 
      15*T1^8*T2^11 + 13*T1^9*T2^11 - 18*T1^10*T2^11 + 16*T1^11*T2^11 - 
      4*T1^12*T2^11 + T1^6*T2^12 - 4*T1^7*T2^12 + 4*T1^8*T2^12 - 
      3*T1^9*T2^12 + 4*T1^10*T2^12 - 4*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 119] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 48*T1^2 + 69*T1^3 - 48*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 216*T1^2*T2 - 221*T1^3*T2 + 13*T1^4*T2 + 84*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 48*T2^2 + 216*T1*T2^2 - 351*T1^2*T2^2 + 
      38*T1^3*T2^2 + 633*T1^4*T2^2 - 506*T1^5*T2^2 + 129*T1^6*T2^2 + 
      24*T1^7*T2^2 - 16*T1^8*T2^2 + 69*T2^3 - 221*T1*T2^3 + 38*T1^2*T2^3 + 
      945*T1^3*T2^3 - 1765*T1^4*T2^3 + 461*T1^5*T2^3 + 489*T1^6*T2^3 - 
      394*T1^7*T2^3 + 97*T1^8*T2^3 - 48*T2^4 + 13*T1*T2^4 + 633*T1^2*T2^4 - 
      1765*T1^3*T2^4 + 1346*T1^4*T2^4 + 1736*T1^5*T2^4 - 2386*T1^6*T2^4 + 
      903*T1^7*T2^4 + T1^8*T2^4 - 95*T1^9*T2^4 + 16*T1^10*T2^4 + 18*T2^5 + 
      84*T1*T2^5 - 506*T1^2*T2^5 + 461*T1^3*T2^5 + 1736*T1^4*T2^5 - 
      4818*T1^5*T2^5 + 3408*T1^6*T2^5 + 72*T1^7*T2^5 - 881*T1^8*T2^5 + 
      374*T1^9*T2^5 - 24*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      129*T1^2*T2^6 + 489*T1^3*T2^6 - 2386*T1^4*T2^6 + 3408*T1^5*T2^6 - 
      468*T1^6*T2^6 - 3172*T1^7*T2^6 + 2078*T1^8*T2^6 - 417*T1^9*T2^6 - 
      127*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      24*T1^2*T2^7 - 394*T1^3*T2^7 + 903*T1^4*T2^7 + 72*T1^5*T2^7 - 
      3172*T1^6*T2^7 + 5054*T1^7*T2^7 - 1592*T1^8*T2^7 - 439*T1^9*T2^7 + 
      486*T1^10*T2^7 - 84*T1^11*T2^7 - 18*T1^12*T2^7 - 16*T1^2*T2^8 + 
      97*T1^3*T2^8 + T1^4*T2^8 - 881*T1^5*T2^8 + 2078*T1^6*T2^8 - 
      1592*T1^7*T2^8 - 1654*T1^8*T2^8 + 1787*T1^9*T2^8 - 631*T1^10*T2^8 - 
      11*T1^11*T2^8 + 48*T1^12*T2^8 - 95*T1^4*T2^9 + 374*T1^5*T2^9 - 
      417*T1^6*T2^9 - 439*T1^7*T2^9 + 1787*T1^8*T2^9 - 873*T1^9*T2^9 - 
      58*T1^10*T2^9 + 223*T1^11*T2^9 - 69*T1^12*T2^9 + 16*T1^4*T2^10 - 
      24*T1^5*T2^10 - 127*T1^6*T2^10 + 486*T1^7*T2^10 - 631*T1^8*T2^10 - 
      58*T1^9*T2^10 + 353*T1^10*T2^10 - 216*T1^11*T2^10 + 48*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 84*T1^7*T2^11 - 11*T1^8*T2^11 + 
      223*T1^9*T2^11 - 216*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 69*T1^9*T2^12 + 
      48*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 120] -> 
  {-((1 - 4*T + 7*T^2 - 8*T^3 + 7*T^4 - 8*T^5 + 7*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 35*T1^2 + 40*T1^3 - 35*T1^4 + 40*T1^5 - 35*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 76*T1^2*T2 - 48*T1^3*T2 + 
      12*T1^4*T2 - 48*T1^5*T2 + 12*T1^6*T2 + 32*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 35*T2^2 + 76*T1*T2^2 - 11*T1^2*T2^2 - 81*T1^3*T2^2 + 
      118*T1^4*T2^2 + T1^5*T2^2 + 118*T1^6*T2^2 - 137*T1^7*T2^2 + 
      73*T1^8*T2^2 + 20*T1^9*T2^2 - 21*T1^10*T2^2 + 40*T2^3 - 48*T1*T2^3 - 
      81*T1^2*T2^3 + 138*T1^3*T2^3 - 95*T1^4*T2^3 - 92*T1^5*T2^3 - 
      152*T1^6*T2^3 + 61*T1^7*T2^3 + 46*T1^8*T2^3 - 109*T1^9*T2^3 + 
      20*T1^10*T2^3 + 16*T1^11*T2^3 - 35*T2^4 + 12*T1*T2^4 + 118*T1^2*T2^4 - 
      95*T1^3*T2^4 + 21*T1^4*T2^4 + 119*T1^5*T2^4 + 217*T1^6*T2^4 + 
      7*T1^7*T2^4 - 67*T1^8*T2^4 + 65*T1^9*T2^4 + 58*T1^10*T2^4 - 
      36*T1^11*T2^4 - 7*T1^12*T2^4 + 40*T2^5 - 48*T1*T2^5 + T1^2*T2^5 - 
      92*T1^3*T2^5 + 119*T1^4*T2^5 - 180*T1^5*T2^5 - 126*T1^6*T2^5 - 
      146*T1^7*T2^5 + 96*T1^8*T2^5 - 21*T1^9*T2^5 - 80*T1^10*T2^5 + 
      T1^11*T2^5 + 28*T1^12*T2^5 - 35*T2^6 + 12*T1*T2^6 + 118*T1^2*T2^6 - 
      152*T1^3*T2^6 + 217*T1^4*T2^6 - 126*T1^5*T2^6 + 322*T1^6*T2^6 - 
      60*T1^7*T2^6 + 62*T1^8*T2^6 - 86*T1^9*T2^6 + 75*T1^10*T2^6 + 
      16*T1^11*T2^6 - 2*T1^12*T2^6 - 28*T1^13*T2^6 + 7*T1^14*T2^6 + 20*T2^7 + 
      32*T1*T2^7 - 137*T1^2*T2^7 + 61*T1^3*T2^7 + 7*T1^4*T2^7 - 
      146*T1^5*T2^7 - 60*T1^6*T2^7 - 134*T1^7*T2^7 + 146*T1^8*T2^7 - 
      4*T1^9*T2^7 - 6*T1^10*T2^7 + 35*T1^11*T2^7 - 79*T1^12*T2^7 + 
      59*T1^13*T2^7 + 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 
      73*T1^2*T2^8 + 46*T1^3*T2^8 - 67*T1^4*T2^8 + 96*T1^5*T2^8 + 
      62*T1^6*T2^8 + 146*T1^7*T2^8 - 120*T1^8*T2^8 - 94*T1^9*T2^8 + 
      14*T1^10*T2^8 - 96*T1^11*T2^8 + 81*T1^12*T2^8 - 2*T1^13*T2^8 - 
      59*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      20*T1^2*T2^9 - 109*T1^3*T2^9 + 65*T1^4*T2^9 - 21*T1^5*T2^9 - 
      86*T1^6*T2^9 - 4*T1^7*T2^9 - 94*T1^8*T2^9 + 186*T1^9*T2^9 + 
      52*T1^10*T2^9 + 54*T1^11*T2^9 + 7*T1^12*T2^9 - 75*T1^13*T2^9 + 
      87*T1^14*T2^9 - 8*T1^15*T2^9 - 12*T1^16*T2^9 - 21*T1^2*T2^10 + 
      20*T1^3*T2^10 + 58*T1^4*T2^10 - 80*T1^5*T2^10 + 75*T1^6*T2^10 - 
      6*T1^7*T2^10 + 14*T1^8*T2^10 + 52*T1^9*T2^10 - 246*T1^10*T2^10 + 
      34*T1^11*T2^10 - 67*T1^12*T2^10 + 88*T1^13*T2^10 - 62*T1^14*T2^10 - 
      20*T1^15*T2^10 + 21*T1^16*T2^10 + 16*T1^3*T2^11 - 36*T1^4*T2^11 + 
      T1^5*T2^11 + 16*T1^6*T2^11 + 35*T1^7*T2^11 - 96*T1^8*T2^11 + 
      54*T1^9*T2^11 + 34*T1^10*T2^11 + 180*T1^11*T2^11 - 105*T1^12*T2^11 + 
      28*T1^13*T2^11 + T1^14*T2^11 + 40*T1^15*T2^11 - 24*T1^16*T2^11 - 
      7*T1^4*T2^12 + 28*T1^5*T2^12 - 2*T1^6*T2^12 - 79*T1^7*T2^12 + 
      81*T1^8*T2^12 + 7*T1^9*T2^12 - 67*T1^10*T2^12 - 105*T1^11*T2^12 - 
      7*T1^12*T2^12 + 81*T1^13*T2^12 - 62*T1^14*T2^12 - 20*T1^15*T2^12 + 
      21*T1^16*T2^12 - 28*T1^6*T2^13 + 59*T1^7*T2^13 - 2*T1^8*T2^13 - 
      75*T1^9*T2^13 + 88*T1^10*T2^13 + 28*T1^11*T2^13 + 81*T1^12*T2^13 - 
      94*T1^13*T2^13 + 31*T1^14*T2^13 + 40*T1^15*T2^13 - 24*T1^16*T2^13 + 
      7*T1^6*T2^14 + 4*T1^7*T2^14 - 59*T1^8*T2^14 + 87*T1^9*T2^14 - 
      62*T1^10*T2^14 + T1^11*T2^14 - 62*T1^12*T2^14 + 31*T1^13*T2^14 + 
      25*T1^14*T2^14 - 52*T1^15*T2^14 + 21*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 8*T1^9*T2^15 - 20*T1^10*T2^15 + 40*T1^11*T2^15 - 
      20*T1^12*T2^15 + 40*T1^13*T2^15 - 52*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 21*T1^10*T2^16 - 
      24*T1^11*T2^16 + 21*T1^12*T2^16 - 24*T1^13*T2^16 + 21*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 121] -> 
  {-((1 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + T^6)/T^3), 
   -((-1 + 6*T1 - 10*T1^2 + 11*T1^3 - 10*T1^4 + 6*T1^5 - T1^6 + 6*T2 - 
      36*T1*T2 + 60*T1^2*T2 - 66*T1^3*T2 + 60*T1^4*T2 - 36*T1^5*T2 + 
      6*T1^6*T2 - 10*T2^2 + 60*T1*T2^2 - 73*T1^2*T2^2 + 17*T1^3*T2^2 + 
      37*T1^4*T2^2 - 83*T1^5*T2^2 + 107*T1^6*T2^2 - 60*T1^7*T2^2 + 
      10*T1^8*T2^2 + 11*T2^3 - 66*T1*T2^3 + 17*T1^2*T2^3 + 227*T1^3*T2^3 - 
      352*T1^4*T2^3 + 380*T1^5*T2^3 - 337*T1^6*T2^3 + 107*T1^7*T2^3 + 
      72*T1^8*T2^3 - 22*T1^9*T2^3 - 10*T2^4 + 60*T1*T2^4 + 37*T1^2*T2^4 - 
      352*T1^3*T2^4 + 303*T1^4*T2^4 - 203*T1^5*T2^4 + 3*T1^6*T2^4 + 
      396*T1^7*T2^4 - 355*T1^8*T2^4 - 48*T1^9*T2^4 + 30*T1^10*T2^4 + 6*T2^5 - 
      36*T1*T2^5 - 83*T1^2*T2^5 + 380*T1^3*T2^5 - 203*T1^4*T2^5 + 
      246*T1^5*T2^5 - 114*T1^6*T2^5 - 103*T1^7*T2^5 - 320*T1^8*T2^5 + 
      587*T1^9*T2^5 - 36*T1^10*T2^5 - 24*T1^11*T2^5 - T2^6 + 6*T1*T2^6 + 
      107*T1^2*T2^6 - 337*T1^3*T2^6 + 3*T1^4*T2^6 - 114*T1^5*T2^6 - 
      48*T1^6*T2^6 + 146*T1^7*T2^6 + 279*T1^8*T2^6 - 163*T1^9*T2^6 - 
      497*T1^10*T2^6 + 114*T1^11*T2^6 + 5*T1^12*T2^6 - 60*T1^2*T2^7 + 
      107*T1^3*T2^7 + 396*T1^4*T2^7 - 103*T1^5*T2^7 + 146*T1^6*T2^7 - 
      214*T1^7*T2^7 - 3*T1^8*T2^7 - 304*T1^9*T2^7 + 777*T1^10*T2^7 - 
      60*T1^11*T2^7 - 30*T1^12*T2^7 + 10*T1^2*T2^8 + 72*T1^3*T2^8 - 
      355*T1^4*T2^8 - 320*T1^5*T2^8 + 279*T1^6*T2^8 - 3*T1^7*T2^8 - 
      21*T1^8*T2^8 + 428*T1^9*T2^8 - 747*T1^10*T2^8 - 36*T1^11*T2^8 + 
      50*T1^12*T2^8 - 22*T1^3*T2^9 - 48*T1^4*T2^9 + 587*T1^5*T2^9 - 
      163*T1^6*T2^9 - 304*T1^7*T2^9 + 428*T1^8*T2^9 - 727*T1^9*T2^9 + 
      677*T1^10*T2^9 + 90*T1^11*T2^9 - 55*T1^12*T2^9 + 30*T1^4*T2^10 - 
      36*T1^5*T2^10 - 497*T1^6*T2^10 + 777*T1^7*T2^10 - 747*T1^8*T2^10 + 
      677*T1^9*T2^10 - 317*T1^10*T2^10 - 156*T1^11*T2^10 + 50*T1^12*T2^10 - 
      24*T1^5*T2^11 + 114*T1^6*T2^11 - 60*T1^7*T2^11 - 36*T1^8*T2^11 + 
      90*T1^9*T2^11 - 156*T1^10*T2^11 + 156*T1^11*T2^11 - 30*T1^12*T2^11 + 
      5*T1^6*T2^12 - 30*T1^7*T2^12 + 50*T1^8*T2^12 - 55*T1^9*T2^12 + 
      50*T1^10*T2^12 - 30*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 122] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((-5 + 17*T1 - 23*T1^2 + 17*T1^3 - 5*T1^4 + 17*T2 - 68*T1*T2 + 
      118*T1^2*T2 - 106*T1^3*T2 + 58*T1^4*T2 - 11*T1^5*T2 - 23*T2^2 + 
      118*T1*T2^2 - 207*T1^2*T2^2 + 95*T1^3*T2^2 + 45*T1^4*T2^2 - 
      134*T1^5*T2^2 + 49*T1^6*T2^2 + 17*T2^3 - 106*T1*T2^3 + 95*T1^2*T2^3 + 
      253*T1^3*T2^3 - 377*T1^4*T2^3 + 284*T1^5*T2^3 + 62*T1^6*T2^3 - 
      67*T1^7*T2^3 - 5*T2^4 + 58*T1*T2^4 + 45*T1^2*T2^4 - 377*T1^3*T2^4 + 
      132*T1^4*T2^4 + 197*T1^5*T2^4 - 497*T1^6*T2^4 + 142*T1^7*T2^4 + 
      27*T1^8*T2^4 - 11*T1*T2^5 - 134*T1^2*T2^5 + 284*T1^3*T2^5 + 
      197*T1^4*T2^5 - 433*T1^5*T2^5 + 473*T1^6*T2^5 + 34*T1^7*T2^5 - 
      95*T1^8*T2^5 + 49*T1^2*T2^6 + 62*T1^3*T2^6 - 497*T1^4*T2^6 + 
      473*T1^5*T2^6 - 245*T1^6*T2^6 - 190*T1^7*T2^6 + 121*T1^8*T2^6 - 
      67*T1^3*T2^7 + 142*T1^4*T2^7 + 34*T1^5*T2^7 - 190*T1^6*T2^7 + 
      268*T1^7*T2^7 - 95*T1^8*T2^7 + 27*T1^4*T2^8 - 95*T1^5*T2^8 + 
      121*T1^6*T2^8 - 95*T1^7*T2^8 + 27*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 123] -> 
  {(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4)/T^2, 
   (-51 + 233*T1 - 379*T1^2 + 233*T1^3 - 51*T1^4 + 233*T2 - 958*T1*T2 + 
     1255*T1^2*T2 - 299*T1^3*T2 - 244*T1^4*T2 + 107*T1^5*T2 - 379*T2^2 + 
     1255*T1*T2^2 - 666*T1^2*T2^2 - 1850*T1^3*T2^2 + 2094*T1^4*T2^2 - 
     677*T1^5*T2^2 + 35*T1^6*T2^2 + 233*T2^3 - 299*T1*T2^3 - 1850*T1^2*T2^3 + 
     5312*T1^3*T2^3 - 4460*T1^4*T2^3 + 726*T1^5*T2^3 + 499*T1^6*T2^3 - 
     145*T1^7*T2^3 - 51*T2^4 - 244*T1*T2^4 + 2094*T1^2*T2^4 - 
     4460*T1^3*T2^4 + 2328*T1^4*T2^4 + 2876*T1^5*T2^4 - 2566*T1^6*T2^4 + 
     428*T1^7*T2^4 + 57*T1^8*T2^4 + 107*T1*T2^5 - 677*T1^2*T2^5 + 
     726*T1^3*T2^5 + 2876*T1^4*T2^5 - 6896*T1^5*T2^5 + 3302*T1^6*T2^5 + 
     121*T1^7*T2^5 - 271*T1^8*T2^5 + 35*T1^2*T2^6 + 499*T1^3*T2^6 - 
     2566*T1^4*T2^6 + 3302*T1^5*T2^6 + 194*T1^6*T2^6 - 1433*T1^7*T2^6 + 
     449*T1^8*T2^6 - 145*T1^3*T2^7 + 428*T1^4*T2^7 + 121*T1^5*T2^7 - 
     1433*T1^6*T2^7 + 1142*T1^7*T2^7 - 271*T1^8*T2^7 + 57*T1^4*T2^8 - 
     271*T1^5*T2^8 + 449*T1^6*T2^8 - 271*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 124] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 228*T1^2*T2 - 156*T1^3*T2 + 30*T1^4*T2 + 108*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 228*T1*T2^2 - 167*T1^2*T2^2 - 
     383*T1^3*T2^2 + 653*T1^4*T2^2 - 691*T1^5*T2^2 + 197*T1^6*T2^2 + 
     60*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 156*T1*T2^3 - 383*T1^2*T2^3 + 
     1369*T1^3*T2^3 - 1101*T1^4*T2^3 + 483*T1^5*T2^3 + 607*T1^6*T2^3 - 
     509*T1^7*T2^3 + 66*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 30*T1*T2^4 + 
     653*T1^2*T2^4 - 1101*T1^3*T2^4 - 423*T1^4*T2^4 + 1437*T1^5*T2^4 - 
     1939*T1^6*T2^4 + 599*T1^7*T2^4 + 213*T1^8*T2^4 - 102*T1^9*T2^4 + 
     24*T2^5 + 108*T1*T2^5 - 691*T1^2*T2^5 + 483*T1^3*T2^5 + 1437*T1^4*T2^5 - 
     1698*T1^5*T2^5 + 850*T1^6*T2^5 + 793*T1^7*T2^5 - 869*T1^8*T2^5 + 
     163*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     197*T1^2*T2^6 + 607*T1^3*T2^6 - 1939*T1^4*T2^6 + 850*T1^5*T2^6 + 
     900*T1^6*T2^6 - 1626*T1^7*T2^6 + 793*T1^8*T2^6 + 169*T1^9*T2^6 - 
     191*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     60*T1^2*T2^7 - 509*T1^3*T2^7 + 599*T1^4*T2^7 + 793*T1^5*T2^7 - 
     1626*T1^6*T2^7 + 922*T1^7*T2^7 + 149*T1^8*T2^7 - 753*T1^9*T2^7 + 
     345*T1^10*T2^7 - 12*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     66*T1^3*T2^8 + 213*T1^4*T2^8 - 869*T1^5*T2^8 + 793*T1^6*T2^8 + 
     149*T1^7*T2^8 - 723*T1^8*T2^8 + 831*T1^9*T2^8 - 227*T1^10*T2^8 - 
     66*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 102*T1^4*T2^9 + 
     163*T1^5*T2^9 + 169*T1^6*T2^9 - 753*T1^7*T2^9 + 831*T1^8*T2^9 - 
     593*T1^9*T2^9 + 37*T1^10*T2^9 + 120*T1^11*T2^9 - 34*T1^12*T2^9 + 
     36*T1^5*T2^10 - 191*T1^6*T2^10 + 345*T1^7*T2^10 - 227*T1^8*T2^10 + 
     37*T1^9*T2^10 + 173*T1^10*T2^10 - 132*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 12*T1^7*T2^11 - 66*T1^8*T2^11 + 
     120*T1^9*T2^11 - 132*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 125] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (-4 + 24*T1 - 60*T1^2 + 76*T1^3 - 60*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 252*T1^2*T2 - 185*T1^3*T2 + 19*T1^4*T2 + 126*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 60*T2^2 + 252*T1*T2^2 - 284*T1^2*T2^2 - 
     299*T1^3*T2^2 + 688*T1^4*T2^2 - 689*T1^5*T2^2 + 136*T1^6*T2^2 + 
     72*T1^7*T2^2 - 30*T1^8*T2^2 + 76*T2^3 - 185*T1*T2^3 - 299*T1^2*T2^3 + 
     1551*T1^3*T2^3 - 1385*T1^4*T2^3 + 478*T1^5*T2^3 + 801*T1^6*T2^3 - 
     524*T1^7*T2^3 + 67*T1^8*T2^3 + 19*T1^9*T2^3 - 60*T2^4 + 19*T1*T2^4 + 
     688*T1^2*T2^4 - 1385*T1^3*T2^4 - 546*T1^4*T2^4 + 2112*T1^5*T2^4 - 
     2670*T1^6*T2^4 + 667*T1^7*T2^4 + 220*T1^8*T2^4 - 113*T1^9*T2^4 + 
     24*T2^5 + 126*T1*T2^5 - 689*T1^2*T2^5 + 478*T1^3*T2^5 + 2112*T1^4*T2^5 - 
     2653*T1^5*T2^5 + 1577*T1^6*T2^5 + 1077*T1^7*T2^5 - 1007*T1^8*T2^5 + 
     196*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     136*T1^2*T2^6 + 801*T1^3*T2^6 - 2670*T1^4*T2^6 + 1577*T1^5*T2^6 + 
     552*T1^6*T2^6 - 2293*T1^7*T2^6 + 984*T1^8*T2^6 + 147*T1^9*T2^6 - 
     188*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     72*T1^2*T2^7 - 524*T1^3*T2^7 + 667*T1^4*T2^7 + 1077*T1^5*T2^7 - 
     2293*T1^6*T2^7 + 1937*T1^7*T2^7 + 42*T1^8*T2^7 - 818*T1^9*T2^7 + 
     361*T1^10*T2^7 - 18*T1^11*T2^7 - 12*T1^12*T2^7 - 30*T1^2*T2^8 + 
     67*T1^3*T2^8 + 220*T1^4*T2^8 - 1007*T1^5*T2^8 + 984*T1^6*T2^8 + 
     42*T1^7*T2^8 - 1140*T1^8*T2^8 + 1045*T1^9*T2^8 - 248*T1^10*T2^8 - 
     65*T1^11*T2^8 + 30*T1^12*T2^8 + 19*T1^3*T2^9 - 113*T1^4*T2^9 + 
     196*T1^5*T2^9 + 147*T1^6*T2^9 - 818*T1^7*T2^9 + 1045*T1^8*T2^9 - 
     603*T1^9*T2^9 - 29*T1^10*T2^9 + 139*T1^11*T2^9 - 38*T1^12*T2^9 + 
     36*T1^5*T2^10 - 188*T1^6*T2^10 + 361*T1^7*T2^10 - 248*T1^8*T2^10 - 
     29*T1^9*T2^10 + 232*T1^10*T2^10 - 144*T1^11*T2^10 + 30*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 18*T1^7*T2^11 - 65*T1^8*T2^11 + 
     139*T1^9*T2^11 - 144*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 30*T1^8*T2^12 - 38*T1^9*T2^12 + 
     30*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 126] -> 
  {(3 - 6*T + 4*T^2 - T^3 + 4*T^4 - 6*T^5 + 3*T^6)/T^3, 
   -((165 - 327*T1 + 216*T1^2 - 51*T1^3 + 216*T1^4 - 327*T1^5 + 165*T1^6 - 
      327*T2 + 376*T1*T2 + 113*T1^2*T2 - 256*T1^3*T2 - 346*T1^4*T2 + 
      293*T1^5*T2 + 214*T1^6*T2 - 273*T1^7*T2 + 216*T2^2 + 113*T1*T2^2 - 
      651*T1^2*T2^2 + 359*T1^3*T2^2 + 305*T1^4*T2^2 + 239*T1^5*T2^2 - 
      675*T1^6*T2^2 + 257*T1^7*T2^2 + 144*T1^8*T2^2 - 51*T2^3 - 256*T1*T2^3 + 
      359*T1^2*T2^3 + 93*T1^3*T2^3 - 285*T1^4*T2^3 - 315*T1^5*T2^3 + 
      297*T1^6*T2^3 + 179*T1^7*T2^3 - 238*T1^8*T2^3 - 24*T1^9*T2^3 + 
      216*T2^4 - 346*T1*T2^4 + 305*T1^2*T2^4 - 285*T1^3*T2^4 + 
      368*T1^4*T2^4 - 266*T1^5*T2^4 + 260*T1^6*T2^4 - 249*T1^7*T2^4 + 
      185*T1^8*T2^4 - 94*T1^9*T2^4 + 72*T1^10*T2^4 - 327*T2^5 + 293*T1*T2^5 + 
      239*T1^2*T2^5 - 315*T1^3*T2^5 - 266*T1^4*T2^5 + 250*T1^5*T2^5 + 
      140*T1^6*T2^5 - 154*T1^7*T2^5 - 153*T1^8*T2^5 + 179*T1^9*T2^5 - 
      31*T1^10*T2^5 - 57*T1^11*T2^5 + 165*T2^6 + 214*T1*T2^6 - 
      675*T1^2*T2^6 + 297*T1^3*T2^6 + 260*T1^4*T2^6 + 140*T1^5*T2^6 - 
      468*T1^6*T2^6 + 160*T1^7*T2^6 + 156*T1^8*T2^6 - 33*T1^9*T2^6 - 
      123*T1^10*T2^6 + 106*T1^11*T2^6 + 3*T1^12*T2^6 - 273*T1*T2^7 + 
      257*T1^2*T2^7 + 179*T1^3*T2^7 - 249*T1^4*T2^7 - 154*T1^5*T2^7 + 
      160*T1^6*T2^7 + 50*T1^7*T2^7 - 42*T1^8*T2^7 - 87*T1^9*T2^7 + 
      119*T1^10*T2^7 - 67*T1^11*T2^7 - 3*T1^12*T2^7 + 144*T1^2*T2^8 - 
      238*T1^3*T2^8 + 185*T1^4*T2^8 - 153*T1^5*T2^8 + 156*T1^6*T2^8 - 
      42*T1^7*T2^8 + 48*T1^8*T2^8 - 117*T1^9*T2^8 + 65*T1^10*T2^8 + 
      14*T1^11*T2^8 - 24*T1^3*T2^9 - 94*T1^4*T2^9 + 179*T1^5*T2^9 - 
      33*T1^6*T2^9 - 87*T1^7*T2^9 - 117*T1^8*T2^9 + 171*T1^9*T2^9 - 
      T1^10*T2^9 - 76*T1^11*T2^9 + 3*T1^12*T2^9 + 72*T1^4*T2^10 - 
      31*T1^5*T2^10 - 123*T1^6*T2^10 + 119*T1^7*T2^10 + 65*T1^8*T2^10 - 
      T1^9*T2^10 - 147*T1^10*T2^10 + 113*T1^11*T2^10 - 57*T1^5*T2^11 + 
      106*T1^6*T2^11 - 67*T1^7*T2^11 + 14*T1^8*T2^11 - 76*T1^9*T2^11 + 
      113*T1^10*T2^11 - 56*T1^11*T2^11 - 3*T1^12*T2^11 + 3*T1^6*T2^12 - 
      3*T1^7*T2^12 + 3*T1^9*T2^12 - 3*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 127] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 26*T1^2 + 34*T1^3 - 26*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 105*T1^2*T2 - 105*T1^3*T2 + 45*T1^4*T2 + 15*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 26*T2^2 + 105*T1*T2^2 - 196*T1^2*T2^2 + 
     75*T1^3*T2^2 + 146*T1^4*T2^2 - 237*T1^5*T2^2 + 116*T1^6*T2^2 - 
     25*T1^7*T2^2 + 34*T2^3 - 105*T1*T2^3 + 75*T1^2*T2^3 + 308*T1^3*T2^3 - 
     622*T1^4*T2^3 + 410*T1^5*T2^3 + 56*T1^6*T2^3 - 198*T1^7*T2^3 + 
     85*T1^8*T2^3 - 17*T1^9*T2^3 - 26*T2^4 + 45*T1*T2^4 + 146*T1^2*T2^4 - 
     622*T1^3*T2^4 + 748*T1^4*T2^4 + 52*T1^5*T2^4 - 668*T1^6*T2^4 + 
     534*T1^7*T2^4 - 28*T1^8*T2^4 - 45*T1^9*T2^4 + 26*T1^10*T2^4 + 10*T2^5 + 
     15*T1*T2^5 - 237*T1^2*T2^5 + 410*T1^3*T2^5 + 52*T1^4*T2^5 - 
     1553*T1^5*T2^5 + 1717*T1^6*T2^5 - 741*T1^7*T2^5 - 374*T1^8*T2^5 + 
     192*T1^9*T2^5 - 55*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     116*T1^2*T2^6 + 56*T1^3*T2^6 - 668*T1^4*T2^6 + 1717*T1^5*T2^6 - 
     432*T1^6*T2^6 - 1169*T1^7*T2^6 + 1766*T1^8*T2^6 - 436*T1^9*T2^6 + 
     32*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 198*T1^3*T2^7 + 534*T1^4*T2^7 - 741*T1^5*T2^7 - 
     1169*T1^6*T2^7 + 2101*T1^7*T2^7 - 1534*T1^8*T2^7 - 250*T1^9*T2^7 + 
     231*T1^10*T2^7 - 95*T1^11*T2^7 - 20*T1^12*T2^7 + 85*T1^3*T2^8 - 
     28*T1^4*T2^8 - 374*T1^5*T2^8 + 1766*T1^6*T2^8 - 1534*T1^7*T2^8 + 
     350*T1^8*T2^8 + 782*T1^9*T2^8 - 202*T1^10*T2^8 - 5*T1^11*T2^8 + 
     52*T1^12*T2^8 - 17*T1^3*T2^9 - 45*T1^4*T2^9 + 192*T1^5*T2^9 - 
     436*T1^6*T2^9 - 250*T1^7*T2^9 + 782*T1^8*T2^9 - 688*T1^9*T2^9 - 
     81*T1^10*T2^9 + 145*T1^11*T2^9 - 68*T1^12*T2^9 + 26*T1^4*T2^10 - 
     55*T1^5*T2^10 + 32*T1^6*T2^10 + 231*T1^7*T2^10 - 202*T1^8*T2^10 - 
     81*T1^9*T2^10 + 344*T1^10*T2^10 - 185*T1^11*T2^10 + 52*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 95*T1^7*T2^11 - 5*T1^8*T2^11 + 
     145*T1^9*T2^11 - 185*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 52*T1^8*T2^12 - 68*T1^9*T2^12 + 
     52*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 128] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 40*T1^2 + 44*T1^3 - 40*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 125*T1^2*T2 - 71*T1^3*T2 + 34*T1^4*T2 + 50*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 40*T2^2 + 125*T1*T2^2 - 43*T1^2*T2^2 - 
     213*T1^3*T2^2 + 245*T1^4*T2^2 - 333*T1^5*T2^2 + 137*T1^6*T2^2 + 
     25*T1^7*T2^2 - 20*T1^8*T2^2 + 44*T2^3 - 71*T1*T2^3 - 213*T1^2*T2^3 + 
     531*T1^3*T2^3 - 301*T1^4*T2^3 + 254*T1^5*T2^3 + 177*T1^6*T2^3 - 
     243*T1^7*T2^3 + 44*T1^8*T2^3 + 11*T1^9*T2^3 - 40*T2^4 + 34*T1*T2^4 + 
     245*T1^2*T2^4 - 301*T1^3*T2^4 - 240*T1^4*T2^4 + 272*T1^5*T2^4 - 
     540*T1^6*T2^4 + 249*T1^7*T2^4 + 95*T1^8*T2^4 - 56*T1^9*T2^4 + 20*T2^5 + 
     50*T1*T2^5 - 333*T1^2*T2^5 + 254*T1^3*T2^5 + 272*T1^4*T2^5 - 
     109*T1^5*T2^5 + 101*T1^6*T2^5 + 172*T1^7*T2^5 - 311*T1^8*T2^5 + 
     57*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     137*T1^2*T2^6 + 177*T1^3*T2^6 - 540*T1^4*T2^6 + 101*T1^5*T2^6 + 
     156*T1^6*T2^6 - 229*T1^7*T2^6 + 220*T1^8*T2^6 + 111*T1^9*T2^6 - 
     103*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     25*T1^2*T2^7 - 243*T1^3*T2^7 + 249*T1^4*T2^7 + 172*T1^5*T2^7 - 
     229*T1^6*T2^7 - 19*T1^7*T2^7 + 72*T1^8*T2^7 - 316*T1^9*T2^7 + 
     147*T1^10*T2^7 - 10*T1^12*T2^7 - 20*T1^2*T2^8 + 44*T1^3*T2^8 + 
     95*T1^4*T2^8 - 311*T1^5*T2^8 + 220*T1^6*T2^8 + 72*T1^7*T2^8 - 
     80*T1^8*T2^8 + 239*T1^9*T2^8 - 55*T1^10*T2^8 - 46*T1^11*T2^8 + 
     20*T1^12*T2^8 + 11*T1^3*T2^9 - 56*T1^4*T2^9 + 57*T1^5*T2^9 + 
     111*T1^6*T2^9 - 316*T1^7*T2^9 + 239*T1^8*T2^9 - 243*T1^9*T2^9 + 
     27*T1^10*T2^9 + 59*T1^11*T2^9 - 22*T1^12*T2^9 + 25*T1^5*T2^10 - 
     103*T1^6*T2^10 + 147*T1^7*T2^10 - 55*T1^8*T2^10 + 27*T1^9*T2^10 + 
     77*T1^10*T2^10 - 75*T1^11*T2^10 + 20*T1^12*T2^10 - 5*T1^5*T2^11 + 
     15*T1^6*T2^11 - 46*T1^8*T2^11 + 59*T1^9*T2^11 - 75*T1^10*T2^11 + 
     45*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     20*T1^8*T2^12 - 22*T1^9*T2^12 + 20*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 129] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 20*T1^2 + 26*T1^3 - 20*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 62*T1^2*T2 - 63*T1^3*T2 + 29*T1^4*T2 + 6*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 20*T2^2 + 62*T1*T2^2 - 120*T1^2*T2^2 + 
     88*T1^3*T2^2 + 16*T1^4*T2^2 - 92*T1^5*T2^2 + 60*T1^6*T2^2 - 
     18*T1^7*T2^2 + 26*T2^3 - 63*T1*T2^3 + 88*T1^2*T2^3 + 29*T1^3*T2^3 - 
     191*T1^4*T2^3 + 183*T1^5*T2^3 + 15*T1^6*T2^3 - 102*T1^7*T2^3 + 
     53*T1^8*T2^3 - 13*T1^9*T2^3 - 20*T2^4 + 29*T1*T2^4 + 16*T1^2*T2^4 - 
     191*T1^3*T2^4 + 317*T1^4*T2^4 - 75*T1^5*T2^4 - 259*T1^6*T2^4 + 
     225*T1^7*T2^4 - 27*T1^9*T2^4 + 20*T1^10*T2^4 + 8*T2^5 + 6*T1*T2^5 - 
     92*T1^2*T2^5 + 183*T1^3*T2^5 - 75*T1^4*T2^5 - 564*T1^5*T2^5 + 
     846*T1^6*T2^5 - 415*T1^7*T2^5 - 107*T1^8*T2^5 + 58*T1^9*T2^5 - 
     34*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 60*T1^2*T2^6 + 
     15*T1^3*T2^6 - 259*T1^4*T2^6 + 846*T1^5*T2^6 - 480*T1^6*T2^6 - 
     402*T1^7*T2^6 + 769*T1^8*T2^6 - 223*T1^9*T2^6 + 64*T1^10*T2^6 + 
     32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 18*T1^2*T2^7 - 
     102*T1^3*T2^7 + 225*T1^4*T2^7 - 415*T1^5*T2^7 - 402*T1^6*T2^7 + 
     1008*T1^7*T2^7 - 755*T1^8*T2^7 - 65*T1^9*T2^7 + 48*T1^10*T2^7 - 
     58*T1^11*T2^7 - 16*T1^12*T2^7 + 53*T1^3*T2^8 - 107*T1^5*T2^8 + 
     769*T1^6*T2^8 - 755*T1^7*T2^8 + 193*T1^8*T2^8 + 309*T1^9*T2^8 - 
     16*T1^10*T2^8 - 3*T1^11*T2^8 + 40*T1^12*T2^8 - 13*T1^3*T2^9 - 
     27*T1^4*T2^9 + 58*T1^5*T2^9 - 223*T1^6*T2^9 - 65*T1^7*T2^9 + 
     309*T1^8*T2^9 - 237*T1^9*T2^9 - 132*T1^10*T2^9 + 89*T1^11*T2^9 - 
     52*T1^12*T2^9 + 20*T1^4*T2^10 - 34*T1^5*T2^10 + 64*T1^6*T2^10 + 
     48*T1^7*T2^10 - 16*T1^8*T2^10 - 132*T1^9*T2^10 + 244*T1^10*T2^10 - 
     114*T1^11*T2^10 + 40*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 - 
     58*T1^7*T2^11 - 3*T1^8*T2^11 + 89*T1^9*T2^11 - 114*T1^10*T2^11 + 
     52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 
     40*T1^8*T2^12 - 52*T1^9*T2^12 + 40*T1^10*T2^12 - 16*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 130] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 36*T1^2 + 51*T1^3 - 36*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 129*T1^2*T2 - 133*T1^3*T2 + 12*T1^4*T2 + 44*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 36*T2^2 + 129*T1*T2^2 - 184*T1^2*T2^2 + 
      51*T1^3*T2^2 + 282*T1^4*T2^2 - 237*T1^5*T2^2 + 80*T1^6*T2^2 + 
      9*T1^7*T2^2 - 12*T1^8*T2^2 + 51*T2^3 - 133*T1*T2^3 + 51*T1^2*T2^3 + 
      307*T1^3*T2^3 - 692*T1^4*T2^3 + 181*T1^5*T2^3 + 205*T1^6*T2^3 - 
      201*T1^7*T2^3 + 62*T1^8*T2^3 - 36*T2^4 + 12*T1*T2^4 + 282*T1^2*T2^4 - 
      692*T1^3*T2^4 + 625*T1^4*T2^4 + 559*T1^5*T2^4 - 887*T1^6*T2^4 + 
      362*T1^7*T2^4 + 8*T1^8*T2^4 - 58*T1^9*T2^4 + 12*T1^10*T2^4 + 15*T2^5 + 
      44*T1*T2^5 - 237*T1^2*T2^5 + 181*T1^3*T2^5 + 559*T1^4*T2^5 - 
      1711*T1^5*T2^5 + 1295*T1^6*T2^5 + 31*T1^7*T2^5 - 330*T1^8*T2^5 + 
      159*T1^9*T2^5 - 11*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      80*T1^2*T2^6 + 205*T1^3*T2^6 - 887*T1^4*T2^6 + 1295*T1^5*T2^6 - 
      360*T1^6*T2^6 - 1091*T1^7*T2^6 + 653*T1^8*T2^6 - 137*T1^9*T2^6 - 
      60*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      9*T1^2*T2^7 - 201*T1^3*T2^7 + 362*T1^4*T2^7 + 31*T1^5*T2^7 - 
      1091*T1^6*T2^7 + 1915*T1^7*T2^7 - 497*T1^8*T2^7 - 149*T1^9*T2^7 + 
      195*T1^10*T2^7 - 46*T1^11*T2^7 - 15*T1^12*T2^7 - 12*T1^2*T2^8 + 
      62*T1^3*T2^8 + 8*T1^4*T2^8 - 330*T1^5*T2^8 + 653*T1^6*T2^8 - 
      497*T1^7*T2^8 - 859*T1^8*T2^8 + 724*T1^9*T2^8 - 266*T1^10*T2^8 - 
      8*T1^11*T2^8 + 36*T1^12*T2^8 - 58*T1^4*T2^9 + 159*T1^5*T2^9 - 
      137*T1^6*T2^9 - 149*T1^7*T2^9 + 724*T1^8*T2^9 - 239*T1^9*T2^9 - 
      93*T1^10*T2^9 + 137*T1^11*T2^9 - 51*T1^12*T2^9 + 12*T1^4*T2^10 - 
      11*T1^5*T2^10 - 60*T1^6*T2^10 + 195*T1^7*T2^10 - 266*T1^8*T2^10 - 
      93*T1^9*T2^10 + 204*T1^10*T2^10 - 131*T1^11*T2^10 + 36*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 46*T1^7*T2^11 - 8*T1^8*T2^11 + 
      137*T1^9*T2^11 - 131*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 36*T1^8*T2^12 - 51*T1^9*T2^12 + 
      36*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 131] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (-2 + 12*T1 - 32*T1^2 + 42*T1^3 - 32*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 156*T1^2*T2 - 156*T1^3*T2 + 66*T1^4*T2 + 24*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 32*T2^2 + 156*T1*T2^2 - 299*T1^2*T2^2 + 
     108*T1^3*T2^2 + 225*T1^4*T2^2 - 372*T1^5*T2^2 + 181*T1^6*T2^2 - 
     36*T1^7*T2^2 + 42*T2^3 - 156*T1*T2^3 + 108*T1^2*T2^3 + 611*T1^3*T2^3 - 
     1200*T1^4*T2^3 + 966*T1^5*T2^3 - 115*T1^6*T2^3 - 228*T1^7*T2^3 + 
     126*T1^8*T2^3 - 21*T1^9*T2^3 - 32*T2^4 + 66*T1*T2^4 + 225*T1^2*T2^4 - 
     1200*T1^3*T2^4 + 1364*T1^4*T2^4 + 20*T1^5*T2^4 - 1456*T1^6*T2^4 + 
     1236*T1^7*T2^4 - 263*T1^8*T2^4 - 66*T1^9*T2^4 + 32*T1^10*T2^4 + 
     12*T2^5 + 24*T1*T2^5 - 372*T1^2*T2^5 + 966*T1^3*T2^5 + 20*T1^4*T2^5 - 
     2744*T1^5*T2^5 + 3562*T1^6*T2^5 - 1516*T1^7*T2^5 - 660*T1^8*T2^5 + 
     540*T1^9*T2^5 - 84*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     181*T1^2*T2^6 - 115*T1^3*T2^6 - 1456*T1^4*T2^6 + 3562*T1^5*T2^6 - 
     1644*T1^6*T2^6 - 1994*T1^7*T2^6 + 3296*T1^8*T2^6 - 1009*T1^9*T2^6 - 
     75*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     36*T1^2*T2^7 - 228*T1^3*T2^7 + 1236*T1^4*T2^7 - 1516*T1^5*T2^7 - 
     1994*T1^6*T2^7 + 4312*T1^7*T2^7 - 3052*T1^8*T2^7 - 390*T1^9*T2^7 + 
     684*T1^10*T2^7 - 144*T1^11*T2^7 - 24*T1^12*T2^7 + 126*T1^3*T2^8 - 
     263*T1^4*T2^8 - 660*T1^5*T2^8 + 3296*T1^6*T2^8 - 3052*T1^7*T2^8 + 
     476*T1^8*T2^8 + 1776*T1^9*T2^8 - 751*T1^10*T2^8 - 6*T1^11*T2^8 + 
     64*T1^12*T2^8 - 21*T1^3*T2^9 - 66*T1^4*T2^9 + 540*T1^5*T2^9 - 
     1009*T1^6*T2^9 - 390*T1^7*T2^9 + 1776*T1^8*T2^9 - 1735*T1^9*T2^9 + 
     204*T1^10*T2^9 + 216*T1^11*T2^9 - 84*T1^12*T2^9 + 32*T1^4*T2^10 - 
     84*T1^5*T2^10 - 75*T1^6*T2^10 + 684*T1^7*T2^10 - 751*T1^8*T2^10 + 
     204*T1^9*T2^10 + 405*T1^10*T2^10 - 276*T1^11*T2^10 + 64*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 144*T1^7*T2^11 - 6*T1^8*T2^11 + 
     216*T1^9*T2^11 - 276*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 64*T1^8*T2^12 - 84*T1^9*T2^12 + 
     64*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 132] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-15 + 44*T1 - 65*T1^2 + 44*T1^3 - 15*T1^4 + 44*T2 - 112*T1*T2 + 
     134*T1^2*T2 - 46*T1^3*T2 - 16*T1^4*T2 + 20*T1^5*T2 - 65*T2^2 + 
     134*T1*T2^2 - 59*T1^2*T2^2 - 141*T1^3*T2^2 + 193*T1^4*T2^2 - 
     82*T1^5*T2^2 + 7*T1^6*T2^2 + 44*T2^3 - 46*T1*T2^3 - 141*T1^2*T2^3 + 
     296*T1^3*T2^3 - 226*T1^4*T2^3 - 33*T1^5*T2^3 + 62*T1^6*T2^3 - 
     28*T1^7*T2^3 - 15*T2^4 - 16*T1*T2^4 + 193*T1^2*T2^4 - 226*T1^3*T2^4 + 
     108*T1^4*T2^4 + 182*T1^5*T2^4 - 95*T1^6*T2^4 + 32*T1^7*T2^4 + 
     17*T1^8*T2^4 + 20*T1*T2^5 - 82*T1^2*T2^5 - 33*T1^3*T2^5 + 
     182*T1^4*T2^5 - 340*T1^5*T2^5 + 75*T1^6*T2^5 + 26*T1^7*T2^5 - 
     52*T1^8*T2^5 + 7*T1^2*T2^6 + 62*T1^3*T2^6 - 95*T1^4*T2^6 + 
     75*T1^5*T2^6 + 157*T1^6*T2^6 - 154*T1^7*T2^6 + 79*T1^8*T2^6 - 
     28*T1^3*T2^7 + 32*T1^4*T2^7 + 26*T1^5*T2^7 - 154*T1^6*T2^7 + 
     128*T1^7*T2^7 - 52*T1^8*T2^7 + 17*T1^4*T2^8 - 52*T1^5*T2^8 + 
     79*T1^6*T2^8 - 52*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 133] -> 
  {(1 - 4*T + 6*T^2 - 2*T^3 - T^4 - 2*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 36*T1^2 + 12*T1^3 + 6*T1^4 + 12*T1^5 - 36*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 64*T1^2*T2 + 72*T1^3*T2 - 64*T1^4*T2 - 
     68*T1^5*T2 + 104*T1^6*T2 + 24*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     36*T2^2 + 64*T1*T2^2 + 80*T1^2*T2^2 - 312*T1^3*T2^2 + 52*T1^4*T2^2 + 
     200*T1^5*T2^2 - 32*T1^6*T2^2 - 288*T1^7*T2^2 + 140*T1^8*T2^2 + 
     16*T1^9*T2^2 - 24*T1^10*T2^2 + 12*T2^3 + 72*T1*T2^3 - 312*T1^2*T2^3 + 
     318*T1^3*T2^3 + 297*T1^4*T2^3 - 297*T1^5*T2^3 - 273*T1^6*T2^3 + 
     471*T1^7*T2^3 + 96*T1^8*T2^3 - 228*T1^9*T2^3 + 72*T1^10*T2^3 + 
     6*T1^11*T2^3 + 6*T2^4 - 64*T1*T2^4 + 52*T1^2*T2^4 + 297*T1^3*T2^4 - 
     674*T1^4*T2^4 + 137*T1^5*T2^4 + 344*T1^6*T2^4 + 17*T1^7*T2^4 - 
     634*T1^8*T2^4 + 385*T1^9*T2^4 - 36*T1^10*T2^4 - 32*T1^11*T2^4 + 
     2*T1^12*T2^4 + 12*T2^5 - 68*T1*T2^5 + 200*T1^2*T2^5 - 297*T1^3*T2^5 + 
     137*T1^4*T2^5 + 194*T1^5*T2^5 - 89*T1^6*T2^5 - 297*T1^7*T2^5 + 
     356*T1^8*T2^5 - 9*T1^9*T2^5 - 145*T1^10*T2^5 + 80*T1^11*T2^5 - 
     16*T1^12*T2^5 + 2*T1^13*T2^5 - 36*T2^6 + 104*T1*T2^6 - 32*T1^2*T2^6 - 
     273*T1^3*T2^6 + 344*T1^4*T2^6 - 89*T1^5*T2^6 - 77*T1^6*T2^6 - 
     57*T1^7*T2^6 + 251*T1^8*T2^6 - 249*T1^9*T2^6 + 184*T1^10*T2^6 - 
     105*T1^11*T2^6 + 44*T1^12*T2^6 - 8*T1^13*T2^6 + 24*T2^7 + 24*T1*T2^7 - 
     288*T1^2*T2^7 + 471*T1^3*T2^7 + 17*T1^4*T2^7 - 297*T1^5*T2^7 - 
     57*T1^6*T2^7 + 442*T1^7*T2^7 - 328*T1^8*T2^7 + 11*T1^9*T2^7 + 
     7*T1^10*T2^7 + 59*T1^11*T2^7 - 47*T1^12*T2^7 - 12*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 140*T1^2*T2^8 + 
     96*T1^3*T2^8 - 634*T1^4*T2^8 + 356*T1^5*T2^8 + 251*T1^6*T2^8 - 
     328*T1^7*T2^8 - 72*T1^8*T2^8 + 352*T1^9*T2^8 - 165*T1^10*T2^8 - 
     4*T1^11*T2^8 - 2*T1^12*T2^8 + 88*T1^13*T2^8 - 52*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 16*T1^2*T2^9 - 
     228*T1^3*T2^9 + 385*T1^4*T2^9 - 9*T1^5*T2^9 - 249*T1^6*T2^9 + 
     11*T1^7*T2^9 + 352*T1^8*T2^9 - 418*T1^9*T2^9 + 79*T1^10*T2^9 + 
     55*T1^11*T2^9 + 33*T1^12*T2^9 - 133*T1^13*T2^9 + 48*T1^14*T2^9 + 
     8*T1^15*T2^9 - 8*T1^16*T2^9 - 24*T1^2*T2^10 + 72*T1^3*T2^10 - 
     36*T1^4*T2^10 - 145*T1^5*T2^10 + 184*T1^6*T2^10 + 7*T1^7*T2^10 - 
     165*T1^8*T2^10 + 79*T1^9*T2^10 + 163*T1^10*T2^10 - 153*T1^11*T2^10 + 
     24*T1^12*T2^10 + 23*T1^13*T2^10 + 40*T1^14*T2^10 - 40*T1^15*T2^10 + 
     12*T1^16*T2^10 + 6*T1^3*T2^11 - 32*T1^4*T2^11 + 80*T1^5*T2^11 - 
     105*T1^6*T2^11 + 59*T1^7*T2^11 - 4*T1^8*T2^11 + 55*T1^9*T2^11 - 
     153*T1^10*T2^11 + 158*T1^11*T2^11 - 87*T1^12*T2^11 + 47*T1^13*T2^11 - 
     40*T1^14*T2^11 + 20*T1^15*T2^11 - 4*T1^16*T2^11 + 2*T1^4*T2^12 - 
     16*T1^5*T2^12 + 44*T1^6*T2^12 - 47*T1^7*T2^12 - 2*T1^8*T2^12 + 
     33*T1^9*T2^12 + 24*T1^10*T2^12 - 87*T1^11*T2^12 + 38*T1^12*T2^12 + 
     41*T1^13*T2^12 - 44*T1^14*T2^12 + 16*T1^15*T2^12 - 2*T1^16*T2^12 + 
     2*T1^5*T2^13 - 8*T1^6*T2^13 - 12*T1^7*T2^13 + 88*T1^8*T2^13 - 
     133*T1^9*T2^13 + 23*T1^10*T2^13 + 47*T1^11*T2^13 + 41*T1^12*T2^13 - 
     134*T1^13*T2^13 + 72*T1^14*T2^13 - 8*T1^15*T2^13 - 4*T1^16*T2^13 + 
     16*T1^7*T2^14 - 52*T1^8*T2^14 + 48*T1^9*T2^14 + 40*T1^10*T2^14 - 
     40*T1^11*T2^14 - 44*T1^12*T2^14 + 72*T1^13*T2^14 + 8*T1^14*T2^14 - 
     32*T1^15*T2^14 + 12*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 
     8*T1^9*T2^15 - 40*T1^10*T2^15 + 20*T1^11*T2^15 + 16*T1^12*T2^15 - 
     8*T1^13*T2^15 - 32*T1^14*T2^15 + 28*T1^15*T2^15 - 8*T1^16*T2^15 + 
     2*T1^8*T2^16 - 8*T1^9*T2^16 + 12*T1^10*T2^16 - 4*T1^11*T2^16 - 
     2*T1^12*T2^16 - 4*T1^13*T2^16 + 12*T1^14*T2^16 - 8*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 134] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   -((-18 + 75*T1 - 110*T1^2 + 75*T1^3 - 18*T1^4 + 75*T2 - 342*T1*T2 + 
      576*T1^2*T2 - 468*T1^3*T2 + 198*T1^4*T2 - 33*T1^5*T2 - 110*T2^2 + 
      576*T1*T2^2 - 937*T1^2*T2^2 + 295*T1^3*T2^2 + 491*T1^4*T2^2 - 
      648*T1^5*T2^2 + 196*T1^6*T2^2 + 75*T2^3 - 468*T1*T2^3 + 295*T1^2*T2^3 + 
      1700*T1^3*T2^3 - 2596*T1^4*T2^3 + 1519*T1^5*T2^3 + 216*T1^6*T2^3 - 
      249*T1^7*T2^3 - 18*T2^4 + 198*T1*T2^4 + 491*T1^2*T2^4 - 
      2596*T1^3*T2^4 + 1656*T1^4*T2^4 + 1004*T1^5*T2^4 - 2353*T1^6*T2^4 + 
      630*T1^7*T2^4 + 90*T1^8*T2^4 - 33*T1*T2^5 - 648*T1^2*T2^5 + 
      1519*T1^3*T2^5 + 1004*T1^4*T2^5 - 3292*T1^5*T2^5 + 2743*T1^6*T2^5 + 
      36*T1^7*T2^5 - 357*T1^8*T2^5 + 196*T1^2*T2^6 + 216*T1^3*T2^6 - 
      2353*T1^4*T2^6 + 2743*T1^5*T2^6 - 925*T1^6*T2^6 - 1008*T1^7*T2^6 + 
      502*T1^8*T2^6 - 249*T1^3*T2^7 + 630*T1^4*T2^7 + 36*T1^5*T2^7 - 
      1008*T1^6*T2^7 + 1170*T1^7*T2^7 - 357*T1^8*T2^7 + 90*T1^4*T2^8 - 
      357*T1^5*T2^8 + 502*T1^6*T2^8 - 357*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 135] -> 
  {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((-5 + 10*T1 - 5*T1^3 + 10*T1^5 - 5*T1^6 + 10*T2 - 12*T1*T2 - 
      15*T1^2*T2 + 9*T1^3*T2 + 7*T1^4*T2 - 19*T1^5*T2 - 6*T1^6*T2 + 
      8*T1^7*T2 - 15*T1*T2^2 + 27*T1^2*T2^2 - 11*T1^4*T2^2 + 27*T1^6*T2^2 - 
      15*T1^7*T2^2 - 5*T2^3 + 9*T1*T2^3 + 7*T1^3*T2^3 - 5*T1^4*T2^3 + 
      T1^5*T2^3 + 7*T1^6*T2^3 + 3*T1^8*T2^3 - 2*T1^9*T2^3 + 7*T1*T2^4 - 
      11*T1^2*T2^4 - 5*T1^3*T2^4 - 2*T1^4*T2^4 + 6*T1^5*T2^4 - 14*T1^6*T2^4 - 
      T1^7*T2^4 - 3*T1^8*T2^4 + 3*T1^9*T2^4 + 10*T2^5 - 19*T1*T2^5 + 
      T1^3*T2^5 + 6*T1^4*T2^5 - 16*T1^5*T2^5 + 14*T1^6*T2^5 + 6*T1^7*T2^5 - 
      9*T1^8*T2^5 + T1^10*T2^5 - 5*T2^6 - 6*T1*T2^6 + 27*T1^2*T2^6 + 
      7*T1^3*T2^6 - 14*T1^4*T2^6 + 14*T1^5*T2^6 - 14*T1^7*T2^6 + 
      2*T1^8*T2^6 + 13*T1^9*T2^6 - 5*T1^10*T2^6 - 2*T1^11*T2^6 + T1^12*T2^6 + 
      8*T1*T2^7 - 15*T1^2*T2^7 - T1^4*T2^7 + 6*T1^5*T2^7 - 14*T1^6*T2^7 + 
      16*T1^7*T2^7 + 6*T1^8*T2^7 - 11*T1^9*T2^7 + 5*T1^11*T2^7 - 
      2*T1^12*T2^7 + 3*T1^3*T2^8 - 3*T1^4*T2^8 - 9*T1^5*T2^8 + 2*T1^6*T2^8 + 
      6*T1^7*T2^8 - 10*T1^8*T2^8 - 5*T1^9*T2^8 + 5*T1^10*T2^8 - T1^11*T2^8 - 
      2*T1^3*T2^9 + 3*T1^4*T2^9 + 13*T1^6*T2^9 - 11*T1^7*T2^9 - 5*T1^8*T2^9 + 
      13*T1^9*T2^9 - 3*T1^11*T2^9 + T1^12*T2^9 + T1^5*T2^10 - 5*T1^6*T2^10 + 
      5*T1^8*T2^10 - 5*T1^10*T2^10 + T1^11*T2^10 - 2*T1^6*T2^11 + 
      5*T1^7*T2^11 - T1^8*T2^11 - 3*T1^9*T2^11 + T1^10*T2^11 + 
      4*T1^11*T2^11 - 2*T1^12*T2^11 + T1^6*T2^12 - 2*T1^7*T2^12 + 
      T1^9*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 136] -> 
  {((1 - T + T^2)*(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4))/T^3, 
   -((165 - 433*T1 + 699*T1^2 - 805*T1^3 + 699*T1^4 - 433*T1^5 + 165*T1^6 - 
      433*T2 + 780*T1*T2 - 896*T1^2*T2 + 593*T1^3*T2 - 79*T1^4*T2 - 
      392*T1^5*T2 + 516*T1^6*T2 - 361*T1^7*T2 + 699*T2^2 - 896*T1*T2^2 + 
      897*T1^2*T2^2 - 494*T1^3*T2^2 + 137*T1^4*T2^2 + 52*T1^5*T2^2 + 
      117*T1^6*T2^2 - 272*T1^7*T2^2 + 465*T1^8*T2^2 - 805*T2^3 + 
      593*T1*T2^3 - 494*T1^2*T2^3 + 67*T1^3*T2^3 + 39*T1^4*T2^3 - 
      38*T1^5*T2^3 - 179*T1^6*T2^3 + 117*T1^7*T2^3 - 175*T1^8*T2^3 - 
      400*T1^9*T2^3 + 699*T2^4 - 79*T1*T2^4 + 137*T1^2*T2^4 + 39*T1^3*T2^4 + 
      219*T1^4*T2^4 - 279*T1^5*T2^4 + 339*T1^6*T2^4 - 21*T1^7*T2^4 + 
      29*T1^8*T2^4 + 449*T1^9*T2^4 + 231*T1^10*T2^4 - 433*T2^5 - 
      392*T1*T2^5 + 52*T1^2*T2^5 - 38*T1^3*T2^5 - 279*T1^4*T2^5 + 
      163*T1^5*T2^5 - 65*T1^6*T2^5 - 240*T1^7*T2^5 + 73*T1^8*T2^5 - 
      299*T1^9*T2^5 - 416*T1^10*T2^5 - 73*T1^11*T2^5 + 165*T2^6 + 
      516*T1*T2^6 + 117*T1^2*T2^6 - 179*T1^3*T2^6 + 339*T1^4*T2^6 - 
      65*T1^5*T2^6 - 48*T1^6*T2^6 + 173*T1^7*T2^6 + 97*T1^8*T2^6 + 
      7*T1^9*T2^6 + 449*T1^10*T2^6 + 180*T1^11*T2^6 + 3*T1^12*T2^6 - 
      361*T1*T2^7 - 272*T1^2*T2^7 + 117*T1^3*T2^7 - 21*T1^4*T2^7 - 
      240*T1^5*T2^7 + 173*T1^6*T2^7 - 55*T1^7*T2^7 - 201*T1^8*T2^7 + 
      90*T1^9*T2^7 - 234*T1^10*T2^7 - 296*T1^11*T2^7 - T1^12*T2^7 + 
      465*T1^2*T2^8 - 175*T1^3*T2^8 + 29*T1^4*T2^8 + 73*T1^5*T2^8 + 
      97*T1^6*T2^8 - 201*T1^7*T2^8 + 217*T1^8*T2^8 + 13*T1^9*T2^8 - 
      79*T1^10*T2^8 + 353*T1^11*T2^8 - 3*T1^12*T2^8 - 400*T1^3*T2^9 + 
      449*T1^4*T2^9 - 299*T1^5*T2^9 + 7*T1^6*T2^9 + 90*T1^7*T2^9 + 
      13*T1^8*T2^9 - 239*T1^9*T2^9 + 312*T1^10*T2^9 - 319*T1^11*T2^9 + 
      5*T1^12*T2^9 + 231*T1^4*T2^10 - 416*T1^5*T2^10 + 449*T1^6*T2^10 - 
      234*T1^7*T2^10 - 79*T1^8*T2^10 + 312*T1^9*T2^10 - 331*T1^10*T2^10 + 
      208*T1^11*T2^10 - 3*T1^12*T2^10 - 73*T1^5*T2^11 + 180*T1^6*T2^11 - 
      296*T1^7*T2^11 + 353*T1^8*T2^11 - 319*T1^9*T2^11 + 208*T1^10*T2^11 - 
      84*T1^11*T2^11 - T1^12*T2^11 + 3*T1^6*T2^12 - T1^7*T2^12 - 
      3*T1^8*T2^12 + 5*T1^9*T2^12 - 3*T1^10*T2^12 - T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 137] -> 
  {-((1 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + T^6)/T^3), 
   -((-1 + 7*T1 - 13*T1^2 + 15*T1^3 - 13*T1^4 + 7*T1^5 - T1^6 + 7*T2 - 
      49*T1*T2 + 91*T1^2*T2 - 105*T1^3*T2 + 91*T1^4*T2 - 49*T1^5*T2 + 
      7*T1^6*T2 - 13*T2^2 + 91*T1*T2^2 - 128*T1^2*T2^2 + 44*T1^3*T2^2 + 
      70*T1^4*T2^2 - 164*T1^5*T2^2 + 184*T1^6*T2^2 - 91*T1^7*T2^2 + 
      13*T1^8*T2^2 + 15*T2^3 - 105*T1*T2^3 + 44*T1^2*T2^3 + 420*T1^3*T2^3 - 
      778*T1^4*T2^3 + 870*T1^5*T2^3 - 680*T1^6*T2^3 + 187*T1^7*T2^3 + 
      119*T1^8*T2^3 - 30*T1^9*T2^3 - 13*T2^4 + 91*T1*T2^4 + 70*T1^2*T2^4 - 
      778*T1^3*T2^4 + 783*T1^4*T2^4 - 353*T1^5*T2^4 - 273*T1^6*T2^4 + 
      962*T1^7*T2^4 - 724*T1^8*T2^4 - 63*T1^9*T2^4 + 39*T1^10*T2^4 + 7*T2^5 - 
      49*T1*T2^5 - 164*T1^2*T2^5 + 870*T1^3*T2^5 - 353*T1^4*T2^5 - 
      29*T1^5*T2^5 + 251*T1^6*T2^5 - 340*T1^7*T2^5 - 594*T1^8*T2^5 + 
      1097*T1^9*T2^5 - 77*T1^10*T2^5 - 28*T1^11*T2^5 - T2^6 + 7*T1*T2^6 + 
      184*T1^2*T2^6 - 680*T1^3*T2^6 - 273*T1^4*T2^6 + 251*T1^5*T2^6 - 
      36*T1^6*T2^6 - 143*T1^7*T2^6 + 921*T1^8*T2^6 - 588*T1^9*T2^6 - 
      772*T1^10*T2^6 + 161*T1^11*T2^6 + 5*T1^12*T2^6 - 91*T1^2*T2^7 + 
      187*T1^3*T2^7 + 962*T1^4*T2^7 - 340*T1^5*T2^7 - 143*T1^6*T2^7 + 
      137*T1^7*T2^7 - 327*T1^8*T2^7 - 502*T1^9*T2^7 + 1448*T1^10*T2^7 - 
      119*T1^11*T2^7 - 35*T1^12*T2^7 + 13*T1^2*T2^8 + 119*T1^3*T2^8 - 
      724*T1^4*T2^8 - 594*T1^5*T2^8 + 921*T1^6*T2^8 - 327*T1^7*T2^8 - 
      135*T1^8*T2^8 + 1146*T1^9*T2^8 - 1518*T1^10*T2^8 - 35*T1^11*T2^8 + 
      65*T1^12*T2^8 - 30*T1^3*T2^9 - 63*T1^4*T2^9 + 1097*T1^5*T2^9 - 
      588*T1^6*T2^9 - 502*T1^7*T2^9 + 1146*T1^8*T2^9 - 1688*T1^9*T2^9 + 
      1240*T1^10*T2^9 + 161*T1^11*T2^9 - 75*T1^12*T2^9 + 39*T1^4*T2^10 - 
      77*T1^5*T2^10 - 772*T1^6*T2^10 + 1448*T1^7*T2^10 - 1518*T1^8*T2^10 + 
      1240*T1^9*T2^10 - 460*T1^10*T2^10 - 259*T1^11*T2^10 + 65*T1^12*T2^10 - 
      28*T1^5*T2^11 + 161*T1^6*T2^11 - 119*T1^7*T2^11 - 35*T1^8*T2^11 + 
      161*T1^9*T2^11 - 259*T1^10*T2^11 + 217*T1^11*T2^11 - 35*T1^12*T2^11 + 
      5*T1^6*T2^12 - 35*T1^7*T2^12 + 65*T1^8*T2^12 - 75*T1^9*T2^12 + 
      65*T1^10*T2^12 - 35*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 138] -> 
  {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((-21 + 41*T1 - 31*T1^2 + 41*T1^3 - 21*T1^4 + 41*T2 - 54*T1*T2 + 
      12*T1^2*T2 - 44*T1^3*T2 - 6*T1^4*T2 + 25*T1^5*T2 - 31*T2^2 + 
      12*T1*T2^2 + 42*T1^2*T2^2 - 10*T1^3*T2^2 + 54*T1^4*T2^2 - 
      36*T1^5*T2^2 - 7*T1^6*T2^2 + 41*T2^3 - 44*T1*T2^3 - 10*T1^2*T2^3 - 
      28*T1^3*T2^3 + 32*T1^4*T2^3 - 10*T1^5*T2^3 + 28*T1^6*T2^3 - 
      7*T1^7*T2^3 - 21*T2^4 - 6*T1*T2^4 + 54*T1^2*T2^4 + 32*T1^3*T2^4 - 
      72*T1^4*T2^4 - 26*T1^6*T2^4 - 6*T1^7*T2^4 + 11*T1^8*T2^4 + 25*T1*T2^5 - 
      36*T1^2*T2^5 - 10*T1^3*T2^5 + 60*T1^5*T2^5 - 10*T1^6*T2^5 + 
      36*T1^7*T2^5 - 23*T1^8*T2^5 - 7*T1^2*T2^6 + 28*T1^3*T2^6 - 
      26*T1^4*T2^6 - 10*T1^5*T2^6 - 14*T1^6*T2^6 - 20*T1^7*T2^6 + 
      17*T1^8*T2^6 - 7*T1^3*T2^7 - 6*T1^4*T2^7 + 36*T1^5*T2^7 - 
      20*T1^6*T2^7 + 42*T1^7*T2^7 - 23*T1^8*T2^7 + 11*T1^4*T2^8 - 
      23*T1^5*T2^8 + 17*T1^6*T2^8 - 23*T1^7*T2^8 + 11*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 139] -> 
  {-(((-2 + T)*(-1 + 2*T))/T), 
   -((-13 + 35*T1 - 13*T1^2 + 35*T2 - 80*T1*T2 - 10*T1^2*T2 + 15*T1^3*T2 - 
      13*T2^2 - 10*T1*T2^2 + 120*T1^2*T2^2 - 50*T1^3*T2^2 + 3*T1^4*T2^2 + 
      15*T1*T2^3 - 50*T1^2*T2^3 + 20*T1^3*T2^3 - 5*T1^4*T2^3 + 3*T1^2*T2^4 - 
      5*T1^3*T2^4 + 3*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 140] -> 
  {-((2 - 13*T + 21*T^2 - 13*T^3 + 2*T^4)/T^2), 
   -((-7 + 45*T1 - 73*T1^2 + 45*T1^3 - 7*T1^4 + 45*T2 - 296*T1*T2 + 
      518*T1^2*T2 - 366*T1^3*T2 + 94*T1^4*T2 - 7*T1^5*T2 - 73*T2^2 + 
      518*T1*T2^2 - 892*T1^2*T2^2 + 162*T1^3*T2^2 + 704*T1^4*T2^2 - 
      574*T1^5*T2^2 + 95*T1^6*T2^2 + 45*T2^3 - 366*T1*T2^3 + 162*T1^2*T2^3 + 
      3039*T1^3*T2^3 - 5073*T1^4*T2^3 + 2619*T1^5*T2^3 + 102*T1^6*T2^3 - 
      111*T1^7*T2^3 - 7*T2^4 + 94*T1*T2^4 + 704*T1^2*T2^4 - 5073*T1^3*T2^4 + 
      4980*T1^4*T2^4 + 1141*T1^5*T2^4 - 3354*T1^6*T2^4 + 562*T1^7*T2^4 + 
      25*T1^8*T2^4 - 7*T1*T2^5 - 574*T1^2*T2^5 + 2619*T1^3*T2^5 + 
      1141*T1^4*T2^5 - 6971*T1^5*T2^5 + 5076*T1^6*T2^5 - 106*T1^7*T2^5 - 
      163*T1^8*T2^5 + 95*T1^2*T2^6 + 102*T1^3*T2^6 - 3354*T1^4*T2^6 + 
      5076*T1^5*T2^6 - 1758*T1^6*T2^6 - 990*T1^7*T2^6 + 263*T1^8*T2^6 - 
      111*T1^3*T2^7 + 562*T1^4*T2^7 - 106*T1^5*T2^7 - 990*T1^6*T2^7 + 
      952*T1^7*T2^7 - 163*T1^8*T2^7 + 25*T1^4*T2^8 - 163*T1^5*T2^8 + 
      263*T1^6*T2^8 - 163*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[11, NonAlternating, 141] -> 
  {-((5 - 11*T + 5*T^2)/T), -((-85 + 183*T1 - 85*T1^2 + 183*T2 - 485*T1*T2 + 
      395*T1^2*T2 - 92*T1^3*T2 - 85*T2^2 + 395*T1*T2^2 - 408*T1^2*T2^2 - 
      155*T1^3*T2^2 + 165*T1^4*T2^2 - 92*T1*T2^3 - 155*T1^2*T2^3 + 
      725*T1^3*T2^3 - 367*T1^4*T2^3 + 165*T1^2*T2^4 - 367*T1^3*T2^4 + 
      165*T1^4*T2^4)/(T1^3*T2^2*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 142] -> {(1 - 8*T + 15*T^2 - 8*T^3 + T^4)/T^2, 
   (-2 + 16*T1 - 30*T1^2 + 16*T1^3 - 2*T1^4 + 16*T2 - 114*T1*T2 + 
     167*T1^2*T2 - 17*T1^3*T2 - 42*T1^4*T2 + 8*T1^5*T2 - 30*T2^2 + 
     167*T1*T2^2 - 9*T1^2*T2^2 - 511*T1^3*T2^2 + 411*T1^4*T2^2 - 
     73*T1^5*T2^2 + 16*T2^3 - 17*T1*T2^3 - 511*T1^2*T2^3 + 1390*T1^3*T2^3 - 
     1154*T1^4*T2^3 + 209*T1^5*T2^3 + 55*T1^6*T2^3 - 8*T1^7*T2^3 - 2*T2^4 - 
     42*T1*T2^4 + 411*T1^2*T2^4 - 1154*T1^3*T2^4 + 888*T1^4*T2^4 + 
     606*T1^5*T2^4 - 553*T1^6*T2^4 + 54*T1^7*T2^4 + 2*T1^8*T2^4 + 8*T1*T2^5 - 
     73*T1^2*T2^5 + 209*T1^3*T2^5 + 606*T1^4*T2^5 - 1938*T1^5*T2^5 + 
     929*T1^6*T2^5 - T1^7*T2^5 - 16*T1^8*T2^5 + 55*T1^3*T2^6 - 
     553*T1^4*T2^6 + 929*T1^5*T2^6 - 133*T1^6*T2^6 - 185*T1^7*T2^6 + 
     30*T1^8*T2^6 - 8*T1^3*T2^7 + 54*T1^4*T2^7 - T1^5*T2^7 - 185*T1^6*T2^7 + 
     126*T1^7*T2^7 - 16*T1^8*T2^7 + 2*T1^4*T2^8 - 16*T1^5*T2^8 + 
     30*T1^6*T2^8 - 16*T1^7*T2^8 + 2*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 143] -> 
  {-(((1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^3), 
   -((-3 + 6*T1 - 3*T1^2 + 3*T1^3 - 3*T1^4 + 6*T1^5 - 3*T1^6 + 6*T2 - 
      10*T1*T2 + 2*T1^2*T2 - 3*T1^3*T2 + T1^4*T2 - 4*T1^5*T2 - 4*T1^6*T2 + 
      4*T1^7*T2 - 3*T2^2 + 2*T1*T2^2 + 8*T1^2*T2^2 - 8*T1^3*T2^2 + 
      6*T1^4*T2^2 - 6*T1^5*T2^2 + 8*T1^6*T2^2 - 2*T1^7*T2^2 - T1^8*T2^2 + 
      3*T2^3 - 3*T1*T2^3 - 8*T1^2*T2^3 + 7*T1^3*T2^3 - 5*T1^5*T2^3 + 
      7*T1^6*T2^3 - 5*T1^7*T2^3 + T1^8*T2^3 - 3*T2^4 + T1*T2^4 + 
      6*T1^2*T2^4 + 8*T1^4*T2^4 + 2*T1^5*T2^4 + 12*T1^6*T2^4 - 4*T1^7*T2^4 + 
      2*T1^8*T2^4 - 3*T1^9*T2^4 + T1^10*T2^4 + 6*T2^5 - 4*T1*T2^5 - 
      6*T1^2*T2^5 - 5*T1^3*T2^5 + 2*T1^4*T2^5 - 27*T1^5*T2^5 - 13*T1^6*T2^5 + 
      T1^7*T2^5 + 2*T1^8*T2^5 - 5*T1^9*T2^5 + 10*T1^10*T2^5 - 4*T1^11*T2^5 - 
      3*T2^6 - 4*T1*T2^6 + 8*T1^2*T2^6 + 7*T1^3*T2^6 + 12*T1^4*T2^6 - 
      13*T1^5*T2^6 + 60*T1^6*T2^6 - 23*T1^7*T2^6 + 2*T1^8*T2^6 + 
      13*T1^9*T2^6 - 16*T1^10*T2^6 + 3*T1^12*T2^6 + 4*T1*T2^7 - 2*T1^2*T2^7 - 
      5*T1^3*T2^7 - 4*T1^4*T2^7 + T1^5*T2^7 - 23*T1^6*T2^7 - 9*T1^7*T2^7 + 
      3*T1^9*T2^7 - 4*T1^10*T2^7 + 12*T1^11*T2^7 - 6*T1^12*T2^7 - T1^2*T2^8 + 
      T1^3*T2^8 + 2*T1^4*T2^8 + 2*T1^5*T2^8 + 2*T1^6*T2^8 + 6*T1^8*T2^8 - 
      2*T1^9*T2^8 - 2*T1^10*T2^8 - 3*T1^11*T2^8 + 3*T1^12*T2^8 - 
      3*T1^4*T2^9 - 5*T1^5*T2^9 + 13*T1^6*T2^9 + 3*T1^7*T2^9 - 2*T1^8*T2^9 + 
      13*T1^9*T2^9 - 2*T1^10*T2^9 + T1^11*T2^9 - 3*T1^12*T2^9 + T1^4*T2^10 + 
      10*T1^5*T2^10 - 16*T1^6*T2^10 - 4*T1^7*T2^10 - 2*T1^8*T2^10 - 
      2*T1^9*T2^10 - 16*T1^10*T2^10 + 6*T1^11*T2^10 + 3*T1^12*T2^10 - 
      4*T1^5*T2^11 + 12*T1^7*T2^11 - 3*T1^8*T2^11 + T1^9*T2^11 + 
      6*T1^10*T2^11 + 6*T1^11*T2^11 - 6*T1^12*T2^11 + 3*T1^6*T2^12 - 
      6*T1^7*T2^12 + 3*T1^8*T2^12 - 3*T1^9*T2^12 + 3*T1^10*T2^12 - 
      6*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 144] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((-5 + 35*T1 - 75*T1^2 + 95*T1^3 - 75*T1^4 + 35*T1^5 - 5*T1^6 + 35*T2 - 
      219*T1*T2 + 328*T1^2*T2 - 244*T1^3*T2 - 6*T1^4*T2 + 174*T1^5*T2 - 
      163*T1^6*T2 + 28*T1^7*T2 - 75*T2^2 + 328*T1*T2^2 + 232*T1^2*T2^2 - 
      1239*T1^3*T2^2 + 1966*T1^4*T2^2 - 1599*T1^5*T2^2 + 652*T1^6*T2^2 + 
      118*T1^7*T2^2 - 45*T1^8*T2^2 + 95*T2^3 - 244*T1*T2^3 - 1239*T1^2*T2^3 + 
      2354*T1^3*T2^3 - 2109*T1^4*T2^3 + 207*T1^5*T2^3 + 1184*T1^6*T2^3 - 
      1254*T1^7*T2^3 + 50*T1^8*T2^3 + 38*T1^9*T2^3 - 75*T2^4 - 6*T1*T2^4 + 
      1966*T1^2*T2^4 - 2109*T1^3*T2^4 + 652*T1^4*T2^4 + 1592*T1^5*T2^4 - 
      1700*T1^6*T2^4 + 475*T1^7*T2^4 + 1004*T1^8*T2^4 - 160*T1^9*T2^4 - 
      15*T1^10*T2^4 + 35*T2^5 + 174*T1*T2^5 - 1599*T1^2*T2^5 + 
      207*T1^3*T2^5 + 1592*T1^4*T2^5 - 2451*T1^5*T2^5 + 589*T1^6*T2^5 + 
      1097*T1^7*T2^5 - 1573*T1^8*T2^5 - 204*T1^9*T2^5 + 104*T1^10*T2^5 - 
      5*T2^6 - 163*T1*T2^6 + 652*T1^2*T2^6 + 1184*T1^3*T2^6 - 
      1700*T1^4*T2^6 + 589*T1^5*T2^6 + 1764*T1^6*T2^6 - 2109*T1^7*T2^6 + 
      966*T1^8*T2^6 + 860*T1^9*T2^6 - 180*T1^10*T2^6 - 9*T1^11*T2^6 + 
      T1^12*T2^6 + 28*T1*T2^7 + 118*T1^2*T2^7 - 1254*T1^3*T2^7 + 
      475*T1^4*T2^7 + 1097*T1^5*T2^7 - 2109*T1^6*T2^7 + 931*T1^7*T2^7 + 
      602*T1^8*T2^7 - 1305*T1^9*T2^7 + 141*T1^10*T2^7 + 48*T1^11*T2^7 - 
      7*T1^12*T2^7 - 45*T1^2*T2^8 + 50*T1^3*T2^8 + 1004*T1^4*T2^8 - 
      1573*T1^5*T2^8 + 966*T1^6*T2^8 + 602*T1^7*T2^8 - 1386*T1^8*T2^8 + 
      1011*T1^9*T2^8 + 42*T1^10*T2^8 - 104*T1^11*T2^8 + 15*T1^12*T2^8 + 
      38*T1^3*T2^9 - 160*T1^4*T2^9 - 204*T1^5*T2^9 + 860*T1^6*T2^9 - 
      1305*T1^7*T2^9 + 1011*T1^8*T2^9 - 310*T1^9*T2^9 - 219*T1^10*T2^9 + 
      134*T1^11*T2^9 - 19*T1^12*T2^9 - 15*T1^4*T2^10 + 104*T1^5*T2^10 - 
      180*T1^6*T2^10 + 141*T1^7*T2^10 + 42*T1^8*T2^10 - 219*T1^9*T2^10 + 
      240*T1^10*T2^10 - 106*T1^11*T2^10 + 15*T1^12*T2^10 - 9*T1^6*T2^11 + 
      48*T1^7*T2^11 - 104*T1^8*T2^11 + 134*T1^9*T2^11 - 106*T1^10*T2^11 + 
      47*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      15*T1^8*T2^12 - 19*T1^9*T2^12 + 15*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 145] -> 
  {((1 + T - 2*T^2 + T^3)*(1 - 2*T + T^2 + T^3))/T^3, 
   (-4 + 4*T1 + 12*T1^2 - 28*T1^3 + 12*T1^4 + 4*T1^5 - 4*T1^6 + 4*T2 + 
     T1*T2 - 20*T1^2*T2 + 23*T1^3*T2 + 13*T1^4*T2 - 18*T1^5*T2 + 3*T1^6*T2 + 
     3*T1^7*T2 + 12*T2^2 - 20*T1*T2^2 - 18*T1^2*T2^2 + 82*T1^3*T2^2 - 
     84*T1^4*T2^2 + 34*T1^5*T2^2 + 6*T1^6*T2^2 - 14*T1^7*T2^2 + 6*T1^8*T2^2 - 
     28*T2^3 + 23*T1*T2^3 + 82*T1^2*T2^3 - 164*T1^3*T2^3 + 53*T1^4*T2^3 + 
     41*T1^5*T2^3 - 44*T1^6*T2^3 + 13*T1^7*T2^3 + 5*T1^8*T2^3 - 7*T1^9*T2^3 + 
     12*T2^4 + 13*T1*T2^4 - 84*T1^2*T2^4 + 53*T1^3*T2^4 + 130*T1^4*T2^4 - 
     186*T1^5*T2^4 + 66*T1^6*T2^4 + 25*T1^7*T2^4 - 34*T1^8*T2^4 + 
     11*T1^9*T2^4 + 4*T2^5 - 18*T1*T2^5 + 34*T1^2*T2^5 + 41*T1^3*T2^5 - 
     186*T1^4*T2^5 + 209*T1^5*T2^5 - 9*T1^6*T2^5 - 75*T1^7*T2^5 + 
     21*T1^8*T2^5 + 19*T1^9*T2^5 - 4*T1^10*T2^5 - T1^11*T2^5 - 4*T2^6 + 
     3*T1*T2^6 + 6*T1^2*T2^6 - 44*T1^3*T2^6 + 66*T1^4*T2^6 - 9*T1^5*T2^6 - 
     132*T1^6*T2^6 + 113*T1^7*T2^6 + 4*T1^8*T2^6 - 32*T1^9*T2^6 + 
     2*T1^10*T2^6 + T1^11*T2^6 + 2*T1^12*T2^6 + 3*T1*T2^7 - 14*T1^2*T2^7 + 
     13*T1^3*T2^7 + 25*T1^4*T2^7 - 75*T1^5*T2^7 + 113*T1^6*T2^7 - 
     105*T1^7*T2^7 + 36*T1^8*T2^7 + 5*T1^9*T2^7 - 2*T1^10*T2^7 - 
     2*T1^12*T2^7 + 6*T1^2*T2^8 + 5*T1^3*T2^8 - 34*T1^4*T2^8 + 21*T1^5*T2^8 + 
     4*T1^6*T2^8 + 36*T1^7*T2^8 - 60*T1^8*T2^8 - 7*T1^9*T2^8 + 
     16*T1^10*T2^8 + 3*T1^11*T2^8 - 6*T1^12*T2^8 - 7*T1^3*T2^9 + 
     11*T1^4*T2^9 + 19*T1^5*T2^9 - 32*T1^6*T2^9 + 5*T1^7*T2^9 - 7*T1^8*T2^9 + 
     88*T1^9*T2^9 - 50*T1^10*T2^9 - 7*T1^11*T2^9 + 14*T1^12*T2^9 - 
     4*T1^5*T2^10 + 2*T1^6*T2^10 - 2*T1^7*T2^10 + 16*T1^8*T2^10 - 
     50*T1^9*T2^10 + 26*T1^10*T2^10 + 2*T1^11*T2^10 - 6*T1^12*T2^10 - 
     T1^5*T2^11 + T1^6*T2^11 + 3*T1^8*T2^11 - 7*T1^9*T2^11 + 2*T1^10*T2^11 + 
     3*T1^11*T2^11 - 2*T1^12*T2^11 + 2*T1^6*T2^12 - 2*T1^7*T2^12 - 
     6*T1^8*T2^12 + 14*T1^9*T2^12 - 6*T1^10*T2^12 - 2*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 146] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 60*T1^2 + 84*T1^3 - 60*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 227*T1^2*T2 - 196*T1^3*T2 - 16*T1^4*T2 + 127*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 60*T2^2 + 227*T1*T2^2 - 582*T1^2*T2^2 + 
     317*T1^3*T2^2 + 190*T1^4*T2^2 - 163*T1^5*T2^2 - 162*T1^6*T2^2 + 
     77*T1^7*T2^2 - 30*T1^8*T2^2 + 84*T2^3 - 196*T1*T2^3 + 317*T1^2*T2^3 + 
     918*T1^3*T2^3 - 1342*T1^4*T2^3 + 98*T1^5*T2^3 + 804*T1^6*T2^3 - 
     178*T1^7*T2^3 + 44*T1^8*T2^3 + 21*T1^9*T2^3 - 60*T2^4 - 16*T1*T2^4 + 
     190*T1^2*T2^4 - 1342*T1^3*T2^4 - 765*T1^4*T2^4 + 3847*T1^5*T2^4 - 
     3285*T1^6*T2^4 + 338*T1^7*T2^4 + 40*T1^8*T2^4 - 106*T1^9*T2^4 + 
     20*T2^5 + 127*T1*T2^5 - 163*T1^2*T2^5 + 98*T1^3*T2^5 + 3847*T1^4*T2^5 - 
     5451*T1^5*T2^5 + 1539*T1^6*T2^5 + 2122*T1^7*T2^5 - 862*T1^8*T2^5 + 
     272*T1^9*T2^5 + 27*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     162*T1^2*T2^6 + 804*T1^3*T2^6 - 3285*T1^4*T2^6 + 1539*T1^5*T2^6 + 
     3228*T1^6*T2^6 - 4291*T1^7*T2^6 + 1005*T1^8*T2^6 - 72*T1^9*T2^6 - 
     122*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     77*T1^2*T2^7 - 178*T1^3*T2^7 + 338*T1^4*T2^7 + 2122*T1^5*T2^7 - 
     4291*T1^6*T2^7 + 2699*T1^7*T2^7 + 397*T1^8*T2^7 - 622*T1^9*T2^7 + 
     257*T1^10*T2^7 - 23*T1^11*T2^7 - 10*T1^12*T2^7 - 30*T1^2*T2^8 + 
     44*T1^3*T2^8 + 40*T1^4*T2^8 - 862*T1^5*T2^8 + 1005*T1^6*T2^8 + 
     397*T1^7*T2^8 - 1515*T1^8*T2^8 + 818*T1^9*T2^8 - 110*T1^10*T2^8 - 
     46*T1^11*T2^8 + 30*T1^12*T2^8 + 21*T1^3*T2^9 - 106*T1^4*T2^9 + 
     272*T1^5*T2^9 - 72*T1^6*T2^9 - 622*T1^7*T2^9 + 818*T1^8*T2^9 - 
     186*T1^9*T2^9 - 223*T1^10*T2^9 + 134*T1^11*T2^9 - 42*T1^12*T2^9 + 
     27*T1^5*T2^10 - 122*T1^6*T2^10 + 257*T1^7*T2^10 - 110*T1^8*T2^10 - 
     223*T1^9*T2^10 + 298*T1^10*T2^10 - 123*T1^11*T2^10 + 30*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 23*T1^7*T2^11 - 46*T1^8*T2^11 + 
     134*T1^9*T2^11 - 123*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 30*T1^8*T2^12 - 42*T1^9*T2^12 + 
     30*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 147] -> 
  {(1 - 4*T + 7*T^2 - 5*T^3 + 3*T^4 - 5*T^5 + 7*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 42*T1^2 + 30*T1^3 - 18*T1^4 + 30*T1^5 - 42*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 88*T1^2*T2 + 20*T1^3*T2 - 28*T1^4*T2 - 
     60*T1^5*T2 + 68*T1^6*T2 + 44*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     42*T2^2 + 88*T1*T2^2 - T1^2*T2^2 - 241*T1^3*T2^2 + 83*T1^4*T2^2 + 
     105*T1^5*T2^2 + 27*T1^6*T2^2 - 255*T1^7*T2^2 + 83*T1^8*T2^2 + 
     32*T1^9*T2^2 - 28*T1^10*T2^2 + 30*T2^3 + 20*T1*T2^3 - 241*T1^2*T2^3 + 
     399*T1^3*T2^3 + 113*T1^4*T2^3 - 187*T1^5*T2^3 - 231*T1^6*T2^3 + 
     344*T1^7*T2^3 + 181*T1^8*T2^3 - 206*T1^9*T2^3 + 52*T1^10*T2^3 + 
     15*T1^11*T2^3 - 18*T2^4 - 28*T1*T2^4 + 83*T1^2*T2^4 + 113*T1^3*T2^4 - 
     680*T1^4*T2^4 + 350*T1^5*T2^4 + 88*T1^6*T2^4 + 178*T1^7*T2^4 - 
     696*T1^8*T2^4 + 293*T1^9*T2^4 + 7*T1^10*T2^4 - 36*T1^11*T2^4 - 
     6*T1^12*T2^4 + 30*T2^5 - 60*T1*T2^5 + 105*T1^2*T2^5 - 187*T1^3*T2^5 + 
     350*T1^4*T2^5 + 16*T1^5*T2^5 - 92*T1^6*T2^5 - 215*T1^7*T2^5 + 
     334*T1^8*T2^5 + 106*T1^9*T2^5 - 139*T1^10*T2^5 + 39*T1^11*T2^5 + 
     4*T1^12*T2^5 + 5*T1^13*T2^5 - 42*T2^6 + 68*T1*T2^6 + 27*T1^2*T2^6 - 
     231*T1^3*T2^6 + 88*T1^4*T2^6 - 92*T1^5*T2^6 + 125*T1^6*T2^6 - 
     149*T1^7*T2^6 + 129*T1^8*T2^6 - 184*T1^9*T2^6 + 66*T1^10*T2^6 - 
     49*T1^11*T2^6 + 43*T1^12*T2^6 - 20*T1^13*T2^6 + 24*T2^7 + 44*T1*T2^7 - 
     255*T1^2*T2^7 + 344*T1^3*T2^7 + 178*T1^4*T2^7 - 215*T1^5*T2^7 - 
     149*T1^6*T2^7 + 246*T1^7*T2^7 - 14*T1^8*T2^7 - 60*T1^9*T2^7 - 
     30*T1^10*T2^7 + 134*T1^11*T2^7 - 91*T1^12*T2^7 + 4*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 83*T1^2*T2^8 + 
     181*T1^3*T2^8 - 696*T1^4*T2^8 + 334*T1^5*T2^8 + 129*T1^6*T2^8 - 
     14*T1^7*T2^8 - 192*T1^8*T2^8 + 134*T1^9*T2^8 + 47*T1^10*T2^8 - 
     98*T1^11*T2^8 + 20*T1^12*T2^8 + 79*T1^13*T2^8 - 49*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 32*T1^2*T2^9 - 
     206*T1^3*T2^9 + 293*T1^4*T2^9 + 106*T1^5*T2^9 - 184*T1^6*T2^9 - 
     60*T1^7*T2^9 + 134*T1^8*T2^9 - 126*T1^9*T2^9 + 29*T1^10*T2^9 + 
     T1^11*T2^9 + 62*T1^12*T2^9 - 142*T1^13*T2^9 + 53*T1^14*T2^9 + 
     4*T1^15*T2^9 - 8*T1^16*T2^9 - 28*T1^2*T2^10 + 52*T1^3*T2^10 + 
     7*T1^4*T2^10 - 139*T1^5*T2^10 + 66*T1^6*T2^10 - 30*T1^7*T2^10 + 
     47*T1^8*T2^10 + 29*T1^9*T2^10 + 51*T1^10*T2^10 - 122*T1^11*T2^10 + 
     44*T1^12*T2^10 + 43*T1^13*T2^10 + 23*T1^14*T2^10 - 36*T1^15*T2^10 + 
     14*T1^16*T2^10 + 15*T1^3*T2^11 - 36*T1^4*T2^11 + 39*T1^5*T2^11 - 
     49*T1^6*T2^11 + 134*T1^7*T2^11 - 98*T1^8*T2^11 + T1^9*T2^11 - 
     122*T1^10*T2^11 + 220*T1^11*T2^11 - 110*T1^12*T2^11 - T1^13*T2^11 - 
     27*T1^14*T2^11 + 28*T1^15*T2^11 - 10*T1^16*T2^11 - 6*T1^4*T2^12 + 
     4*T1^5*T2^12 + 43*T1^6*T2^12 - 91*T1^7*T2^12 + 20*T1^8*T2^12 + 
     62*T1^9*T2^12 + 44*T1^10*T2^12 - 110*T1^11*T2^12 + 4*T1^12*T2^12 + 
     89*T1^13*T2^12 - 33*T1^14*T2^12 - 4*T1^15*T2^12 + 6*T1^16*T2^12 + 
     5*T1^5*T2^13 - 20*T1^6*T2^13 + 4*T1^7*T2^13 + 79*T1^8*T2^13 - 
     142*T1^9*T2^13 + 43*T1^10*T2^13 - T1^11*T2^13 + 89*T1^12*T2^13 - 
     139*T1^13*T2^13 + 39*T1^14*T2^13 + 12*T1^15*T2^13 - 10*T1^16*T2^13 + 
     16*T1^7*T2^14 - 49*T1^8*T2^14 + 53*T1^9*T2^14 + 23*T1^10*T2^14 - 
     27*T1^11*T2^14 - 33*T1^12*T2^14 + 39*T1^13*T2^14 + 35*T1^14*T2^14 - 
     40*T1^15*T2^14 + 14*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 
     4*T1^9*T2^15 - 36*T1^10*T2^15 + 28*T1^11*T2^15 - 4*T1^12*T2^15 + 
     12*T1^13*T2^15 - 40*T1^14*T2^15 + 28*T1^15*T2^15 - 8*T1^16*T2^15 + 
     2*T1^8*T2^16 - 8*T1^9*T2^16 + 14*T1^10*T2^16 - 10*T1^11*T2^16 + 
     6*T1^12*T2^16 - 10*T1^13*T2^16 + 14*T1^14*T2^16 - 8*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 148] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 50*T1^2 + 70*T1^3 - 75*T1^4 + 70*T1^5 - 50*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 150*T1^2*T2 - 150*T1^3*T2 + 
      95*T1^4*T2 - 50*T1^5*T2 - 30*T1^6*T2 + 75*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 50*T2^2 + 150*T1*T2^2 - 30*T1^2*T2^2 - 150*T1^3*T2^2 + 
      350*T1^4*T2^2 - 380*T1^5*T2^2 + 450*T1^6*T2^2 - 330*T1^7*T2^2 + 
      150*T1^8*T2^2 + 50*T1^9*T2^2 - 30*T1^10*T2^2 + 70*T2^3 - 150*T1*T2^3 - 
      150*T1^2*T2^3 + 304*T1^3*T2^3 - 406*T1^4*T2^3 + 212*T1^5*T2^3 - 
      230*T1^6*T2^3 - 46*T1^7*T2^3 + 184*T1^8*T2^3 - 270*T1^9*T2^3 + 
      10*T1^10*T2^3 + 28*T1^11*T2^3 - 75*T2^4 + 95*T1*T2^4 + 350*T1^2*T2^4 - 
      406*T1^3*T2^4 + 486*T1^4*T2^4 - 223*T1^5*T2^4 + 360*T1^6*T2^4 - 
      63*T1^7*T2^4 + 66*T1^8*T2^4 + 14*T1^9*T2^4 + 250*T1^10*T2^4 - 
      65*T1^11*T2^4 - 15*T1^12*T2^4 + 70*T2^5 - 50*T1*T2^5 - 380*T1^2*T2^5 + 
      212*T1^3*T2^5 - 223*T1^4*T2^5 - 31*T1^5*T2^5 - 269*T1^6*T2^5 + 
      21*T1^7*T2^5 - 121*T1^8*T2^5 + 2*T1^9*T2^5 - 218*T1^10*T2^5 - 
      95*T1^11*T2^5 + 75*T1^12*T2^5 - 50*T2^6 - 30*T1*T2^6 + 450*T1^2*T2^6 - 
      230*T1^3*T2^6 + 360*T1^4*T2^6 - 269*T1^5*T2^6 + 555*T1^6*T2^6 - 
      147*T1^7*T2^6 + 75*T1^8*T2^6 + 111*T1^9*T2^6 + 40*T1^10*T2^6 + 
      230*T1^11*T2^6 - 50*T1^12*T2^6 - 50*T1^13*T2^6 + 10*T1^14*T2^6 + 
      25*T2^7 + 75*T1*T2^7 - 330*T1^2*T2^7 - 46*T1^3*T2^7 - 63*T1^4*T2^7 + 
      21*T1^5*T2^7 - 147*T1^6*T2^7 - 243*T1^7*T2^7 + 207*T1^8*T2^7 - 
      107*T1^9*T2^7 - 89*T1^10*T2^7 - 28*T1^11*T2^7 - 166*T1^12*T2^7 + 
      150*T1^13*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 150*T1^2*T2^8 + 
      184*T1^3*T2^8 + 66*T1^4*T2^8 - 121*T1^5*T2^8 + 75*T1^6*T2^8 + 
      207*T1^7*T2^8 - 96*T1^8*T2^8 - 123*T1^9*T2^8 + 127*T1^10*T2^8 - 
      55*T1^11*T2^8 + 126*T1^12*T2^8 - 36*T1^13*T2^8 - 120*T1^14*T2^8 + 
      35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 50*T1^2*T2^9 - 
      270*T1^3*T2^9 + 14*T1^4*T2^9 + 2*T1^5*T2^9 + 111*T1^6*T2^9 - 
      107*T1^7*T2^9 - 123*T1^8*T2^9 + 327*T1^9*T2^9 - 67*T1^10*T2^9 + 
      T1^11*T2^9 + 37*T1^12*T2^9 - 106*T1^13*T2^9 + 210*T1^14*T2^9 - 
      25*T1^15*T2^9 - 15*T1^16*T2^9 - 30*T1^2*T2^10 + 10*T1^3*T2^10 + 
      250*T1^4*T2^10 - 218*T1^5*T2^10 + 40*T1^6*T2^10 - 89*T1^7*T2^10 + 
      127*T1^8*T2^10 - 67*T1^9*T2^10 - 353*T1^10*T2^10 + 291*T1^11*T2^10 - 
      280*T1^12*T2^10 + 242*T1^13*T2^10 - 250*T1^14*T2^10 - 10*T1^15*T2^10 + 
      30*T1^16*T2^10 + 28*T1^3*T2^11 - 65*T1^4*T2^11 - 95*T1^5*T2^11 + 
      230*T1^6*T2^11 - 28*T1^7*T2^11 - 55*T1^8*T2^11 + T1^9*T2^11 + 
      291*T1^10*T2^11 - 145*T1^11*T2^11 + 197*T1^12*T2^11 - 200*T1^13*T2^11 + 
      190*T1^14*T2^11 + 60*T1^15*T2^11 - 42*T1^16*T2^11 - 15*T1^4*T2^12 + 
      75*T1^5*T2^12 - 50*T1^6*T2^12 - 166*T1^7*T2^12 + 126*T1^8*T2^12 + 
      37*T1^9*T2^12 - 280*T1^10*T2^12 + 197*T1^11*T2^12 - 294*T1^12*T2^12 + 
      254*T1^13*T2^12 - 150*T1^14*T2^12 - 85*T1^15*T2^12 + 45*T1^16*T2^12 - 
      50*T1^6*T2^13 + 150*T1^7*T2^13 - 36*T1^8*T2^13 - 106*T1^9*T2^13 + 
      242*T1^10*T2^13 - 200*T1^11*T2^13 + 254*T1^12*T2^13 - 156*T1^13*T2^13 + 
      30*T1^14*T2^13 + 110*T1^15*T2^13 - 42*T1^16*T2^13 + 10*T1^6*T2^14 - 
      120*T1^8*T2^14 + 210*T1^9*T2^14 - 250*T1^10*T2^14 + 190*T1^11*T2^14 - 
      150*T1^12*T2^14 + 30*T1^13*T2^14 + 60*T1^14*T2^14 - 100*T1^15*T2^14 + 
      30*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 25*T1^9*T2^15 - 
      10*T1^10*T2^15 + 60*T1^11*T2^15 - 85*T1^12*T2^15 + 110*T1^13*T2^15 - 
      100*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 42*T1^11*T2^16 + 45*T1^12*T2^16 - 
      42*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 149] -> 
  {((1 - T + T^2)*(1 - 3*T + 2*T^2 + T^3 + 2*T^4 - 3*T^5 + T^6))/T^4, 
   (-6 + 24*T1 - 36*T1^2 + 24*T1^3 - 18*T1^4 + 24*T1^5 - 36*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 64*T1^2*T2 + 24*T1^3*T2 - 8*T1^4*T2 - 
     36*T1^5*T2 + 64*T1^6*T2 + 24*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     36*T2^2 + 64*T1*T2^2 + 80*T1^2*T2^2 - 240*T1^3*T2^2 + 68*T1^4*T2^2 + 
     32*T1^6*T2^2 - 240*T1^7*T2^2 + 140*T1^8*T2^2 + 16*T1^9*T2^2 - 
     24*T1^10*T2^2 + 24*T2^3 + 24*T1*T2^3 - 240*T1^2*T2^3 + 250*T1^3*T2^3 + 
     123*T1^4*T2^3 - 51*T1^5*T2^3 - 99*T1^6*T2^3 + 279*T1^7*T2^3 + 
     70*T1^8*T2^3 - 192*T1^9*T2^3 + 48*T1^10*T2^3 + 12*T1^11*T2^3 - 18*T2^4 - 
     8*T1*T2^4 + 68*T1^2*T2^4 + 123*T1^3*T2^4 - 416*T1^4*T2^4 + 
     148*T1^5*T2^4 - 50*T1^6*T2^4 + 52*T1^7*T2^4 - 392*T1^8*T2^4 + 
     235*T1^9*T2^4 + 12*T1^10*T2^4 - 24*T1^11*T2^4 - 6*T1^12*T2^4 + 24*T2^5 - 
     36*T1*T2^5 - 51*T1^3*T2^5 + 148*T1^4*T2^5 + 44*T1^5*T2^5 + T1^6*T2^5 - 
     7*T1^7*T2^5 + 132*T1^8*T2^5 + 28*T1^9*T2^5 - 67*T1^10*T2^5 + 
     8*T1^12*T2^5 + 4*T1^13*T2^5 - 36*T2^6 + 64*T1*T2^6 + 32*T1^2*T2^6 - 
     99*T1^3*T2^6 - 50*T1^4*T2^6 + T1^5*T2^6 - 34*T1^6*T2^6 - 72*T1^7*T2^6 + 
     38*T1^8*T2^6 - 15*T1^9*T2^6 - 18*T1^10*T2^6 - 3*T1^11*T2^6 + 
     28*T1^12*T2^6 - 16*T1^13*T2^6 + 24*T2^7 + 24*T1*T2^7 - 240*T1^2*T2^7 + 
     279*T1^3*T2^7 + 52*T1^4*T2^7 - 7*T1^5*T2^7 - 72*T1^6*T2^7 + 
     254*T1^7*T2^7 - 170*T1^8*T2^7 - 24*T1^9*T2^7 - 15*T1^10*T2^7 + 
     76*T1^11*T2^7 - 53*T1^12*T2^7 + 16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 
     56*T1*T2^8 + 140*T1^2*T2^8 + 70*T1^3*T2^8 - 392*T1^4*T2^8 + 
     132*T1^5*T2^8 + 38*T1^6*T2^8 - 170*T1^7*T2^8 + 12*T1^8*T2^8 + 
     182*T1^9*T2^8 - 10*T1^10*T2^8 - 28*T1^11*T2^8 - 16*T1^12*T2^8 + 
     70*T1^13*T2^8 - 52*T1^14*T2^8 + 8*T1^15*T2^8 + 2*T1^16*T2^8 + 
     20*T1*T2^9 + 16*T1^2*T2^9 - 192*T1^3*T2^9 + 235*T1^4*T2^9 + 
     28*T1^5*T2^9 - 15*T1^6*T2^9 - 24*T1^7*T2^9 + 182*T1^8*T2^9 - 
     242*T1^9*T2^9 + 24*T1^10*T2^9 - 23*T1^11*T2^9 + 52*T1^12*T2^9 - 
     97*T1^13*T2^9 + 48*T1^14*T2^9 + 8*T1^15*T2^9 - 8*T1^16*T2^9 - 
     24*T1^2*T2^10 + 48*T1^3*T2^10 + 12*T1^4*T2^10 - 67*T1^5*T2^10 - 
     18*T1^6*T2^10 - 15*T1^7*T2^10 - 10*T1^8*T2^10 + 24*T1^9*T2^10 + 
     62*T1^10*T2^10 - 31*T1^11*T2^10 + 14*T1^12*T2^10 + 29*T1^13*T2^10 + 
     8*T1^14*T2^10 - 32*T1^15*T2^10 + 12*T1^16*T2^10 + 12*T1^3*T2^11 - 
     24*T1^4*T2^11 - 3*T1^6*T2^11 + 76*T1^7*T2^11 - 28*T1^8*T2^11 - 
     23*T1^9*T2^11 - 31*T1^10*T2^11 + 60*T1^11*T2^11 - 44*T1^12*T2^11 - 
     19*T1^13*T2^11 + 20*T1^15*T2^11 - 8*T1^16*T2^11 - 6*T1^4*T2^12 + 
     8*T1^5*T2^12 + 28*T1^6*T2^12 - 53*T1^7*T2^12 - 16*T1^8*T2^12 + 
     52*T1^9*T2^12 + 14*T1^10*T2^12 - 44*T1^11*T2^12 + 8*T1^12*T2^12 + 
     59*T1^13*T2^12 - 28*T1^14*T2^12 - 8*T1^15*T2^12 + 6*T1^16*T2^12 + 
     4*T1^5*T2^13 - 16*T1^6*T2^13 + 70*T1^8*T2^13 - 97*T1^9*T2^13 + 
     29*T1^10*T2^13 - 19*T1^11*T2^13 + 59*T1^12*T2^13 - 110*T1^13*T2^13 + 
     48*T1^14*T2^13 + 8*T1^15*T2^13 - 8*T1^16*T2^13 + 16*T1^7*T2^14 - 
     52*T1^8*T2^14 + 48*T1^9*T2^14 + 8*T1^10*T2^14 - 28*T1^12*T2^14 + 
     48*T1^13*T2^14 + 8*T1^14*T2^14 - 32*T1^15*T2^14 + 12*T1^16*T2^14 - 
     4*T1^7*T2^15 + 8*T1^8*T2^15 + 8*T1^9*T2^15 - 32*T1^10*T2^15 + 
     20*T1^11*T2^15 - 8*T1^12*T2^15 + 8*T1^13*T2^15 - 32*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     12*T1^10*T2^16 - 8*T1^11*T2^16 + 6*T1^12*T2^16 - 8*T1^13*T2^16 + 
     12*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, NonAlternating, 150] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-33 + 148*T1 - 278*T1^2 + 309*T1^3 - 278*T1^4 + 148*T1^5 - 33*T1^6 + 
     148*T2 - 552*T1*T2 + 746*T1^2*T2 - 446*T1^3*T2 + 202*T1^4*T2 + 
     278*T1^5*T2 - 354*T1^6*T2 + 112*T1^7*T2 - 278*T2^2 + 746*T1*T2^2 - 
     235*T1^2*T2^2 - 995*T1^3*T2^2 + 1187*T1^4*T2^2 - 1675*T1^5*T2^2 + 
     785*T1^6*T2^2 + 134*T1^7*T2^2 - 142*T1^8*T2^2 + 309*T2^3 - 446*T1*T2^3 - 
     995*T1^2*T2^3 + 2327*T1^3*T2^3 - 1303*T1^4*T2^3 + 1241*T1^5*T2^3 + 
     743*T1^6*T2^3 - 1250*T1^7*T2^3 + 274*T1^8*T2^3 + 81*T1^9*T2^3 - 
     278*T2^4 + 202*T1*T2^4 + 1187*T1^2*T2^4 - 1303*T1^3*T2^4 - 
     1045*T1^4*T2^4 + 997*T1^5*T2^4 - 2425*T1^6*T2^4 + 1243*T1^7*T2^4 + 
     421*T1^8*T2^4 - 338*T1^9*T2^4 - 6*T1^10*T2^4 + 148*T2^5 + 278*T1*T2^5 - 
     1675*T1^2*T2^5 + 1241*T1^3*T2^5 + 997*T1^4*T2^5 - 104*T1^5*T2^5 + 
     580*T1^6*T2^5 + 708*T1^7*T2^5 - 1299*T1^8*T2^5 + 280*T1^9*T2^5 + 
     170*T1^10*T2^5 - 32*T1^11*T2^5 - 33*T2^6 - 354*T1*T2^6 + 785*T1^2*T2^6 + 
     743*T1^3*T2^6 - 2425*T1^4*T2^6 + 580*T1^5*T2^6 - 204*T1^6*T2^6 - 
     556*T1^7*T2^6 + 497*T1^8*T2^6 + 593*T1^9*T2^6 - 567*T1^10*T2^6 + 
     78*T1^11*T2^6 + 15*T1^12*T2^6 + 112*T1*T2^7 + 134*T1^2*T2^7 - 
     1250*T1^3*T2^7 + 1243*T1^4*T2^7 + 708*T1^5*T2^7 - 556*T1^6*T2^7 + 
     128*T1^7*T2^7 + 419*T1^8*T2^7 - 1297*T1^9*T2^7 + 705*T1^10*T2^7 + 
     26*T1^11*T2^7 - 68*T1^12*T2^7 - 142*T1^2*T2^8 + 274*T1^3*T2^8 + 
     421*T1^4*T2^8 - 1299*T1^5*T2^8 + 497*T1^6*T2^8 + 419*T1^7*T2^8 - 
     883*T1^8*T2^8 + 1247*T1^9*T2^8 - 345*T1^10*T2^8 - 266*T1^11*T2^8 + 
     130*T1^12*T2^8 + 81*T1^3*T2^9 - 338*T1^4*T2^9 + 280*T1^5*T2^9 + 
     593*T1^6*T2^9 - 1297*T1^7*T2^9 + 1247*T1^8*T2^9 - 991*T1^9*T2^9 + 
     25*T1^10*T2^9 + 382*T1^11*T2^9 - 147*T1^12*T2^9 - 6*T1^4*T2^10 + 
     170*T1^5*T2^10 - 567*T1^6*T2^10 + 705*T1^7*T2^10 - 345*T1^8*T2^10 + 
     25*T1^9*T2^10 + 453*T1^10*T2^10 - 442*T1^11*T2^10 + 130*T1^12*T2^10 - 
     32*T1^5*T2^11 + 78*T1^6*T2^11 + 26*T1^7*T2^11 - 266*T1^8*T2^11 + 
     382*T1^9*T2^11 - 442*T1^10*T2^11 + 276*T1^11*T2^11 - 68*T1^12*T2^11 + 
     15*T1^6*T2^12 - 68*T1^7*T2^12 + 130*T1^8*T2^12 - 147*T1^9*T2^12 + 
     130*T1^10*T2^12 - 68*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 151] -> 
  {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((-27 + 77*T1 - 85*T1^2 + 77*T1^3 - 27*T1^4 + 77*T2 - 168*T1*T2 + 
      94*T1^2*T2 - 62*T1^3*T2 - 72*T1^4*T2 + 53*T1^5*T2 - 85*T2^2 + 
      94*T1*T2^2 + 141*T1^2*T2^2 - 151*T1^3*T2^2 + 281*T1^4*T2^2 - 
      74*T1^5*T2^2 - 29*T1^6*T2^2 + 77*T2^3 - 62*T1*T2^3 - 151*T1^2*T2^3 + 
      72*T1^3*T2^3 - 186*T1^4*T2^3 - 67*T1^5*T2^3 + 70*T1^6*T2^3 + 
      5*T1^7*T2^3 - 27*T2^4 - 72*T1*T2^4 + 281*T1^2*T2^4 - 186*T1^3*T2^4 + 
      204*T1^4*T2^4 + 78*T1^5*T2^4 - 39*T1^6*T2^4 - 24*T1^7*T2^4 + 
      5*T1^8*T2^4 + 53*T1*T2^5 - 74*T1^2*T2^5 - 67*T1^3*T2^5 + 78*T1^4*T2^5 - 
      180*T1^5*T2^5 + 17*T1^6*T2^5 + 58*T1^7*T2^5 - 19*T1^8*T2^5 - 
      29*T1^2*T2^6 + 70*T1^3*T2^6 - 39*T1^4*T2^6 + 17*T1^5*T2^6 + 
      101*T1^6*T2^6 - 98*T1^7*T2^6 + 27*T1^8*T2^6 + 5*T1^3*T2^7 - 
      24*T1^4*T2^7 + 58*T1^5*T2^7 - 98*T1^6*T2^7 + 72*T1^7*T2^7 - 
      19*T1^8*T2^7 + 5*T1^4*T2^8 - 19*T1^5*T2^8 + 27*T1^6*T2^8 - 
      19*T1^7*T2^8 + 5*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 152] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
      T2^2 + 2*T1*T2^2 - 29*T1^2*T2^2 + 77*T1^3*T2^2 - 87*T1^4*T2^2 + 
      77*T1^5*T2^2 - 29*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
      77*T1^2*T2^3 - 168*T1^3*T2^3 + 96*T1^4*T2^3 - 60*T1^5*T2^3 - 
      72*T1^6*T2^3 + 53*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 - 87*T1^2*T2^4 + 
      96*T1^3*T2^4 + 141*T1^4*T2^4 - 153*T1^5*T2^4 + 281*T1^6*T2^4 - 
      72*T1^7*T2^4 - 31*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 77*T1^2*T2^5 - 
      60*T1^3*T2^5 - 153*T1^4*T2^5 + 70*T1^5*T2^5 - 188*T1^6*T2^5 - 
      69*T1^7*T2^5 + 72*T1^8*T2^5 + 5*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 
      29*T1^2*T2^6 - 72*T1^3*T2^6 + 281*T1^4*T2^6 - 188*T1^5*T2^6 + 
      216*T1^6*T2^6 + 76*T1^7*T2^6 - 39*T1^8*T2^6 - 24*T1^9*T2^6 + 
      3*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 53*T1^3*T2^7 - 
      72*T1^4*T2^7 - 69*T1^5*T2^7 + 76*T1^6*T2^7 - 182*T1^7*T2^7 + 
      15*T1^8*T2^7 + 60*T1^9*T2^7 - 19*T1^10*T2^7 + 2*T1^11*T2^7 + 
      T1^2*T2^8 - 31*T1^4*T2^8 + 72*T1^5*T2^8 - 39*T1^6*T2^8 + 15*T1^7*T2^8 + 
      101*T1^8*T2^8 - 96*T1^9*T2^8 + 25*T1^10*T2^8 + T1^12*T2^8 - 
      2*T1^3*T2^9 + 5*T1^5*T2^9 - 24*T1^6*T2^9 + 60*T1^7*T2^9 - 
      96*T1^8*T2^9 + 72*T1^9*T2^9 - 19*T1^10*T2^9 - 2*T1^12*T2^9 + 
      T1^4*T2^10 + 2*T1^5*T2^10 + 3*T1^6*T2^10 - 19*T1^7*T2^10 + 
      25*T1^8*T2^10 - 19*T1^9*T2^10 + 3*T1^10*T2^10 + 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 - 
      2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 153] -> 
  {(1 - 4*T + 7*T^2 - 10*T^3 + 13*T^4 - 10*T^5 + 7*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 28*T1^2 + 40*T1^3 - 52*T1^4 + 40*T1^5 - 28*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 64*T1^2*T2 - 76*T1^3*T2 + 88*T1^4*T2 - 
     4*T1^5*T2 - 8*T1^6*T2 + 20*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 28*T2^2 + 
     64*T1*T2^2 - 19*T1^2*T2^2 + 4*T1^3*T2^2 + 12*T1^4*T2^2 - 199*T1^5*T2^2 + 
     96*T1^6*T2^2 - 80*T1^7*T2^2 + 65*T1^8*T2^2 + 8*T1^9*T2^2 - 
     14*T1^10*T2^2 + 40*T2^3 - 76*T1*T2^3 + 4*T1^2*T2^3 - 36*T1^3*T2^3 + 
     36*T1^4*T2^3 + 206*T1^5*T2^3 + 72*T1^6*T2^3 + 2*T1^7*T2^3 - 
     14*T1^8*T2^3 - 66*T1^9*T2^3 + 16*T1^10*T2^3 + 10*T1^11*T2^3 - 52*T2^4 + 
     88*T1*T2^4 + 12*T1^2*T2^4 + 36*T1^3*T2^4 + 16*T1^4*T2^4 - 
     352*T1^5*T2^4 - 50*T1^6*T2^4 - 184*T1^7*T2^4 + 160*T1^8*T2^4 - 
     4*T1^9*T2^4 + 56*T1^10*T2^4 - 40*T1^11*T2^4 + 40*T2^5 - 4*T1*T2^5 - 
     199*T1^2*T2^5 + 206*T1^3*T2^5 - 352*T1^4*T2^5 + 680*T1^5*T2^5 - 
     94*T1^6*T2^5 + 398*T1^7*T2^5 - 232*T1^8*T2^5 - 56*T1^9*T2^5 - 
     36*T1^10*T2^5 + 5*T1^11*T2^5 + 40*T1^12*T2^5 - 10*T1^13*T2^5 - 28*T2^6 - 
     8*T1*T2^6 + 96*T1^2*T2^6 + 72*T1^3*T2^6 - 50*T1^4*T2^6 - 94*T1^5*T2^6 - 
     471*T1^6*T2^6 - 41*T1^7*T2^6 - 87*T1^8*T2^6 + 314*T1^9*T2^6 - 
     12*T1^10*T2^6 + 44*T1^11*T2^6 - 68*T1^12*T2^6 - 16*T1^13*T2^6 + 
     14*T1^14*T2^6 + 16*T2^7 + 20*T1*T2^7 - 80*T1^2*T2^7 + 2*T1^3*T2^7 - 
     184*T1^4*T2^7 + 398*T1^5*T2^7 - 41*T1^6*T2^7 + 536*T1^7*T2^7 - 
     284*T1^8*T2^7 - 57*T1^9*T2^7 - 262*T1^10*T2^7 + 32*T1^11*T2^7 + 
     12*T1^12*T2^7 + 74*T1^13*T2^7 - 8*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 
     32*T1*T2^8 + 65*T1^2*T2^8 - 14*T1^3*T2^8 + 160*T1^4*T2^8 - 
     232*T1^5*T2^8 - 87*T1^6*T2^8 - 284*T1^7*T2^8 + 48*T1^8*T2^8 + 
     284*T1^9*T2^8 + 161*T1^10*T2^8 + 176*T1^11*T2^8 - 124*T1^12*T2^8 - 
     6*T1^13*T2^8 - 67*T1^14*T2^8 + 32*T1^15*T2^8 + 4*T1^16*T2^8 + 
     12*T1*T2^9 + 8*T1^2*T2^9 - 66*T1^3*T2^9 - 4*T1^4*T2^9 - 56*T1^5*T2^9 + 
     314*T1^6*T2^9 - 57*T1^7*T2^9 + 284*T1^8*T2^9 - 536*T1^9*T2^9 - 
     73*T1^10*T2^9 - 346*T1^11*T2^9 + 160*T1^12*T2^9 + 6*T1^13*T2^9 + 
     88*T1^14*T2^9 - 20*T1^15*T2^9 - 16*T1^16*T2^9 - 14*T1^2*T2^10 + 
     16*T1^3*T2^10 + 56*T1^4*T2^10 - 36*T1^5*T2^10 - 12*T1^6*T2^10 - 
     262*T1^7*T2^10 + 161*T1^8*T2^10 - 73*T1^9*T2^10 + 545*T1^10*T2^10 + 
     146*T1^11*T2^10 + 26*T1^12*T2^10 - 64*T1^13*T2^10 - 108*T1^14*T2^10 + 
     8*T1^15*T2^10 + 28*T1^16*T2^10 + 10*T1^3*T2^11 - 40*T1^4*T2^11 + 
     5*T1^5*T2^11 + 44*T1^6*T2^11 + 32*T1^7*T2^11 + 176*T1^8*T2^11 - 
     346*T1^9*T2^11 + 146*T1^10*T2^11 - 736*T1^11*T2^11 + 328*T1^12*T2^11 - 
     198*T1^13*T2^11 + 209*T1^14*T2^11 + 4*T1^15*T2^11 - 40*T1^16*T2^11 + 
     40*T1^5*T2^12 - 68*T1^6*T2^12 + 12*T1^7*T2^12 - 124*T1^8*T2^12 + 
     160*T1^9*T2^12 + 26*T1^10*T2^12 + 328*T1^11*T2^12 + 20*T1^12*T2^12 - 
     28*T1^13*T2^12 - 24*T1^14*T2^12 - 88*T1^15*T2^12 + 52*T1^16*T2^12 - 
     10*T1^5*T2^13 - 16*T1^6*T2^13 + 74*T1^7*T2^13 - 6*T1^8*T2^13 + 
     6*T1^9*T2^13 - 64*T1^10*T2^13 - 198*T1^11*T2^13 - 28*T1^12*T2^13 + 
     16*T1^13*T2^13 + 4*T1^14*T2^13 + 76*T1^15*T2^13 - 40*T1^16*T2^13 + 
     14*T1^6*T2^14 - 8*T1^7*T2^14 - 67*T1^8*T2^14 + 88*T1^9*T2^14 - 
     108*T1^10*T2^14 + 209*T1^11*T2^14 - 24*T1^12*T2^14 + 4*T1^13*T2^14 + 
     17*T1^14*T2^14 - 64*T1^15*T2^14 + 28*T1^16*T2^14 - 12*T1^7*T2^15 + 
     32*T1^8*T2^15 - 20*T1^9*T2^15 + 8*T1^10*T2^15 + 4*T1^11*T2^15 - 
     88*T1^12*T2^15 + 76*T1^13*T2^15 - 64*T1^14*T2^15 + 52*T1^15*T2^15 - 
     16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 28*T1^10*T2^16 - 
     40*T1^11*T2^16 + 52*T1^12*T2^16 - 40*T1^13*T2^16 + 28*T1^14*T2^16 - 
     16*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 154] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 76*T1^2 + 100*T1^3 - 76*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 384*T1^2*T2 - 299*T1^3*T2 + 9*T1^4*T2 + 202*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 76*T2^2 + 384*T1*T2^2 - 445*T1^2*T2^2 - 
     634*T1^3*T2^2 + 1493*T1^4*T2^2 - 1318*T1^5*T2^2 + 239*T1^6*T2^2 + 
     118*T1^7*T2^2 - 38*T1^8*T2^2 + 100*T2^3 - 299*T1*T2^3 - 634*T1^2*T2^3 + 
     3216*T1^3*T2^3 - 3136*T1^4*T2^3 + 766*T1^5*T2^3 + 1708*T1^6*T2^3 - 
     995*T1^7*T2^3 + 93*T1^8*T2^3 + 25*T1^9*T2^3 - 76*T2^4 + 9*T1*T2^4 + 
     1493*T1^2*T2^4 - 3136*T1^3*T2^4 - 789*T1^4*T2^4 + 5043*T1^5*T2^4 - 
     5721*T1^6*T2^4 + 1264*T1^7*T2^4 + 487*T1^8*T2^4 - 173*T1^9*T2^4 + 
     28*T2^5 + 202*T1*T2^5 - 1318*T1^2*T2^5 + 766*T1^3*T2^5 + 
     5043*T1^4*T2^5 - 7099*T1^5*T2^5 + 3707*T1^6*T2^5 + 2402*T1^7*T2^5 - 
     2140*T1^8*T2^5 + 335*T1^9*T2^5 + 48*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 239*T1^2*T2^6 + 1708*T1^3*T2^6 - 5721*T1^4*T2^6 + 
     3707*T1^5*T2^6 + 1968*T1^6*T2^6 - 5803*T1^7*T2^6 + 2489*T1^8*T2^6 + 
     228*T1^9*T2^6 - 297*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 118*T1^2*T2^7 - 995*T1^3*T2^7 + 1264*T1^4*T2^7 + 
     2402*T1^5*T2^7 - 5803*T1^6*T2^7 + 5003*T1^7*T2^7 - 239*T1^8*T2^7 - 
     1642*T1^9*T2^7 + 658*T1^10*T2^7 - 36*T1^11*T2^7 - 14*T1^12*T2^7 - 
     38*T1^2*T2^8 + 93*T1^3*T2^8 + 487*T1^4*T2^8 - 2140*T1^5*T2^8 + 
     2489*T1^6*T2^8 - 239*T1^7*T2^8 - 2443*T1^8*T2^8 + 2260*T1^9*T2^8 - 
     519*T1^10*T2^8 - 89*T1^11*T2^8 + 38*T1^12*T2^8 + 25*T1^3*T2^9 - 
     173*T1^4*T2^9 + 335*T1^5*T2^9 + 228*T1^6*T2^9 - 1642*T1^7*T2^9 + 
     2260*T1^8*T2^9 - 1280*T1^9*T2^9 - 26*T1^10*T2^9 + 219*T1^11*T2^9 - 
     50*T1^12*T2^9 + 48*T1^5*T2^10 - 297*T1^6*T2^10 + 658*T1^7*T2^10 - 
     519*T1^8*T2^10 - 26*T1^9*T2^10 + 387*T1^10*T2^10 - 218*T1^11*T2^10 + 
     38*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 36*T1^7*T2^11 - 
     89*T1^8*T2^11 + 219*T1^9*T2^11 - 218*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 38*T1^8*T2^12 - 
     50*T1^9*T2^12 + 38*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 155] -> 
  {(2 - 8*T + 11*T^2 - 9*T^3 + 11*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 124*T1 - 170*T1^2 + 139*T1^3 - 170*T1^4 + 124*T1^5 - 31*T1^6 + 
     124*T2 - 404*T1*T2 + 312*T1^2*T2 - 52*T1^3*T2 + 268*T1^4*T2 + 
     8*T1^5*T2 - 244*T1^6*T2 + 92*T1^7*T2 - 170*T2^2 + 312*T1*T2^2 + 
     456*T1^2*T2^2 - 920*T1^3*T2^2 + 262*T1^4*T2^2 - 964*T1^5*T2^2 + 
     852*T1^6*T2^2 - 40*T1^7*T2^2 - 82*T1^8*T2^2 + 139*T2^3 - 52*T1*T2^3 - 
     920*T1^2*T2^3 + 858*T1^3*T2^3 + 152*T1^4*T2^3 + 886*T1^5*T2^3 - 
     220*T1^6*T2^3 - 634*T1^7*T2^3 + 204*T1^8*T2^3 + 31*T1^9*T2^3 - 
     170*T2^4 + 268*T1*T2^4 + 262*T1^2*T2^4 + 152*T1^3*T2^4 - 
     1083*T1^4*T2^4 + 7*T1^5*T2^4 - 435*T1^6*T2^4 + 656*T1^7*T2^4 + 
     78*T1^8*T2^4 - 148*T1^9*T2^4 + 6*T1^10*T2^4 + 124*T2^5 + 8*T1*T2^5 - 
     964*T1^2*T2^5 + 886*T1^3*T2^5 + 7*T1^4*T2^5 + 1201*T1^5*T2^5 - 
     1035*T1^6*T2^5 + 150*T1^7*T2^5 - 308*T1^8*T2^5 + 70*T1^9*T2^5 + 
     120*T1^10*T2^5 - 36*T1^11*T2^5 - 31*T2^6 - 244*T1*T2^6 + 852*T1^2*T2^6 - 
     220*T1^3*T2^6 - 435*T1^4*T2^6 - 1035*T1^5*T2^6 + 504*T1^6*T2^6 + 
     835*T1^7*T2^6 - 297*T1^8*T2^6 + 444*T1^9*T2^6 - 448*T1^10*T2^6 + 
     76*T1^11*T2^6 + 17*T1^12*T2^6 + 92*T1*T2^7 - 40*T1^2*T2^7 - 
     634*T1^3*T2^7 + 656*T1^4*T2^7 + 150*T1^5*T2^7 + 835*T1^6*T2^7 - 
     1401*T1^7*T2^7 + 293*T1^8*T2^7 - 538*T1^9*T2^7 + 400*T1^10*T2^7 + 
     72*T1^11*T2^7 - 68*T1^12*T2^7 - 82*T1^2*T2^8 + 204*T1^3*T2^8 + 
     78*T1^4*T2^8 - 308*T1^5*T2^8 - 297*T1^6*T2^8 + 293*T1^7*T2^8 + 
     351*T1^8*T2^8 + 196*T1^9*T2^8 - 106*T1^10*T2^8 - 212*T1^11*T2^8 + 
     94*T1^12*T2^8 + 31*T1^3*T2^9 - 148*T1^4*T2^9 + 70*T1^5*T2^9 + 
     444*T1^6*T2^9 - 538*T1^7*T2^9 + 196*T1^8*T2^9 - 634*T1^9*T2^9 + 
     356*T1^10*T2^9 + 108*T1^11*T2^9 - 77*T1^12*T2^9 + 6*T1^4*T2^10 + 
     120*T1^5*T2^10 - 448*T1^6*T2^10 + 400*T1^7*T2^10 - 106*T1^8*T2^10 + 
     356*T1^9*T2^10 - 52*T1^10*T2^10 - 232*T1^11*T2^10 + 94*T1^12*T2^10 - 
     36*T1^5*T2^11 + 76*T1^6*T2^11 + 72*T1^7*T2^11 - 212*T1^8*T2^11 + 
     108*T1^9*T2^11 - 232*T1^10*T2^11 + 236*T1^11*T2^11 - 68*T1^12*T2^11 + 
     17*T1^6*T2^12 - 68*T1^7*T2^12 + 94*T1^8*T2^12 - 77*T1^9*T2^12 + 
     94*T1^10*T2^12 - 68*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 156] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 54*T1^2 + 75*T1^3 - 54*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 279*T1^2*T2 - 273*T1^3*T2 + 28*T1^4*T2 + 104*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 54*T2^2 + 279*T1*T2^2 - 291*T1^2*T2^2 - 
      305*T1^3*T2^2 + 1185*T1^4*T2^2 - 953*T1^5*T2^2 + 321*T1^6*T2^2 + 
      27*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 273*T1*T2^3 - 305*T1^2*T2^3 + 
      1767*T1^3*T2^3 - 2703*T1^4*T2^3 + 840*T1^5*T2^3 + 567*T1^6*T2^3 - 
      647*T1^7*T2^3 + 126*T1^8*T2^3 - 54*T2^4 + 28*T1*T2^4 + 1185*T1^2*T2^4 - 
      2703*T1^3*T2^4 + 2196*T1^4*T2^4 + 1850*T1^5*T2^4 - 2880*T1^6*T2^4 + 
      1447*T1^7*T2^4 + 31*T1^8*T2^4 - 126*T1^9*T2^4 + 18*T1^10*T2^4 + 
      21*T2^5 + 104*T1*T2^5 - 953*T1^2*T2^5 + 840*T1^3*T2^5 + 
      1850*T1^4*T2^5 - 6009*T1^5*T2^5 + 4171*T1^6*T2^5 - 202*T1^7*T2^5 - 
      1489*T1^8*T2^5 + 613*T1^9*T2^5 - 29*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 321*T1^2*T2^6 + 567*T1^3*T2^6 - 2880*T1^4*T2^6 + 
      4171*T1^5*T2^6 + 192*T1^6*T2^6 - 4203*T1^7*T2^6 + 3344*T1^8*T2^6 - 
      591*T1^9*T2^6 - 295*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 27*T1^2*T2^7 - 647*T1^3*T2^7 + 1447*T1^4*T2^7 - 
      202*T1^5*T2^7 - 4203*T1^6*T2^7 + 5977*T1^7*T2^7 - 2254*T1^8*T2^7 - 
      882*T1^9*T2^7 + 919*T1^10*T2^7 - 106*T1^11*T2^7 - 21*T1^12*T2^7 - 
      18*T1^2*T2^8 + 126*T1^3*T2^8 + 31*T1^4*T2^8 - 1489*T1^5*T2^8 + 
      3344*T1^6*T2^8 - 2254*T1^7*T2^8 - 1732*T1^8*T2^8 + 2661*T1^9*T2^8 - 
      1123*T1^10*T2^8 - 28*T1^11*T2^8 + 54*T1^12*T2^8 - 126*T1^4*T2^9 + 
      613*T1^5*T2^9 - 591*T1^6*T2^9 - 882*T1^7*T2^9 + 2661*T1^8*T2^9 - 
      1791*T1^9*T2^9 + 271*T1^10*T2^9 + 273*T1^11*T2^9 - 75*T1^12*T2^9 + 
      18*T1^4*T2^10 - 29*T1^5*T2^10 - 295*T1^6*T2^10 + 919*T1^7*T2^10 - 
      1123*T1^8*T2^10 + 271*T1^9*T2^10 + 317*T1^10*T2^10 - 281*T1^11*T2^10 + 
      54*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 106*T1^7*T2^11 - 
      28*T1^8*T2^11 + 273*T1^9*T2^11 - 281*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 54*T1^8*T2^12 - 
      75*T1^9*T2^12 + 54*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 157] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 45*T1^2 + 63*T1^3 - 45*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 197*T1^2*T2 - 196*T1^3*T2 + 20*T1^4*T2 + 71*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 45*T2^2 + 197*T1*T2^2 - 246*T1^2*T2^2 - 
      72*T1^3*T2^2 + 624*T1^4*T2^2 - 522*T1^5*T2^2 + 174*T1^6*T2^2 + 
      17*T1^7*T2^2 - 15*T1^8*T2^2 + 63*T2^3 - 196*T1*T2^3 - 72*T1^2*T2^3 + 
      885*T1^3*T2^3 - 1463*T1^4*T2^3 + 454*T1^5*T2^3 + 381*T1^6*T2^3 - 
      387*T1^7*T2^3 + 92*T1^8*T2^3 - 45*T2^4 + 20*T1*T2^4 + 624*T1^2*T2^4 - 
      1463*T1^3*T2^4 + 1077*T1^4*T2^4 + 1171*T1^5*T2^4 - 1863*T1^6*T2^4 + 
      805*T1^7*T2^4 + 12*T1^8*T2^4 - 88*T1^9*T2^4 + 15*T1^10*T2^4 + 18*T2^5 + 
      71*T1*T2^5 - 522*T1^2*T2^5 + 454*T1^3*T2^5 + 1171*T1^4*T2^5 - 
      3321*T1^5*T2^5 + 2559*T1^6*T2^5 + 46*T1^7*T2^5 - 761*T1^8*T2^5 + 
      333*T1^9*T2^5 - 19*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      174*T1^2*T2^6 + 381*T1^3*T2^6 - 1863*T1^4*T2^6 + 2559*T1^5*T2^6 - 
      624*T1^6*T2^6 - 2211*T1^7*T2^6 + 1503*T1^8*T2^6 - 285*T1^9*T2^6 - 
      150*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      17*T1^2*T2^7 - 387*T1^3*T2^7 + 805*T1^4*T2^7 + 46*T1^5*T2^7 - 
      2211*T1^6*T2^7 + 3669*T1^7*T2^7 - 1079*T1^8*T2^7 - 410*T1^9*T2^7 + 
      468*T1^10*T2^7 - 73*T1^11*T2^7 - 18*T1^12*T2^7 - 15*T1^2*T2^8 + 
      92*T1^3*T2^8 + 12*T1^4*T2^8 - 761*T1^5*T2^8 + 1503*T1^6*T2^8 - 
      1079*T1^7*T2^8 - 1437*T1^8*T2^8 + 1507*T1^9*T2^8 - 600*T1^10*T2^8 - 
      16*T1^11*T2^8 + 45*T1^12*T2^8 - 88*T1^4*T2^9 + 333*T1^5*T2^9 - 
      285*T1^6*T2^9 - 410*T1^7*T2^9 + 1507*T1^8*T2^9 - 789*T1^9*T2^9 + 
      18*T1^10*T2^9 + 200*T1^11*T2^9 - 63*T1^12*T2^9 + 15*T1^4*T2^10 - 
      19*T1^5*T2^10 - 150*T1^6*T2^10 + 468*T1^7*T2^10 - 600*T1^8*T2^10 + 
      18*T1^9*T2^10 + 270*T1^10*T2^10 - 199*T1^11*T2^10 + 45*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 73*T1^7*T2^11 - 16*T1^8*T2^11 + 
      200*T1^9*T2^11 - 199*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 45*T1^8*T2^12 - 63*T1^9*T2^12 + 
      45*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 158] -> 
  {((1 - T + T^2)*(1 - 3*T + 3*T^2 - T^3 + 3*T^4 - 3*T^5 + T^6))/T^4, 
   (-6 + 24*T1 - 42*T1^2 + 42*T1^3 - 42*T1^4 + 42*T1^5 - 42*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 88*T1^2*T2 - 28*T1^3*T2 + 28*T1^4*T2 - 
     28*T1^5*T2 + 28*T1^6*T2 + 44*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     42*T2^2 + 88*T1*T2^2 - T1^2*T2^2 - 158*T1^3*T2^2 + 76*T1^4*T2^2 - 
     75*T1^5*T2^2 + 76*T1^6*T2^2 - 200*T1^7*T2^2 + 83*T1^8*T2^2 + 
     32*T1^9*T2^2 - 28*T1^10*T2^2 + 42*T2^3 - 28*T1*T2^3 - 158*T1^2*T2^3 + 
     267*T1^3*T2^3 + 10*T1^4*T2^3 + 43*T1^5*T2^3 - 55*T1^6*T2^3 + 
     171*T1^7*T2^3 + 127*T1^8*T2^3 - 165*T1^9*T2^3 + 28*T1^10*T2^3 + 
     21*T1^11*T2^3 - 42*T2^4 + 28*T1*T2^4 + 76*T1^2*T2^4 + 10*T1^3*T2^4 - 
     374*T1^4*T2^4 + 178*T1^5*T2^4 - 180*T1^6*T2^4 + 94*T1^7*T2^4 - 
     374*T1^8*T2^4 + 150*T1^9*T2^4 + 48*T1^10*T2^4 - 28*T1^11*T2^4 - 
     14*T1^12*T2^4 + 42*T2^5 - 28*T1*T2^5 - 75*T1^2*T2^5 + 43*T1^3*T2^5 + 
     178*T1^4*T2^5 + 100*T1^5*T2^5 - 22*T1^6*T2^5 + 83*T1^7*T2^5 + 
     142*T1^8*T2^5 + 66*T1^9*T2^5 - 55*T1^10*T2^5 - 33*T1^11*T2^5 + 
     28*T1^12*T2^5 + 7*T1^13*T2^5 - 42*T2^6 + 28*T1*T2^6 + 76*T1^2*T2^6 - 
     55*T1^3*T2^6 - 180*T1^4*T2^6 - 22*T1^5*T2^6 - 110*T1^6*T2^6 + 
     32*T1^7*T2^6 - 194*T1^8*T2^6 + 62*T1^9*T2^6 - 82*T1^10*T2^6 + 
     43*T1^11*T2^6 + 20*T1^12*T2^6 - 28*T1^13*T2^6 + 24*T2^7 + 44*T1*T2^7 - 
     200*T1^2*T2^7 + 171*T1^3*T2^7 + 94*T1^4*T2^7 + 83*T1^5*T2^7 + 
     32*T1^6*T2^7 + 66*T1^7*T2^7 + 38*T1^8*T2^7 + 25*T1^9*T2^7 - 
     64*T1^10*T2^7 + 94*T1^11*T2^7 - 74*T1^12*T2^7 + 17*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 83*T1^2*T2^8 + 
     127*T1^3*T2^8 - 374*T1^4*T2^8 + 142*T1^5*T2^8 - 194*T1^6*T2^8 + 
     38*T1^7*T2^8 - 36*T1^8*T2^8 - 6*T1^9*T2^8 + 72*T1^10*T2^8 - 
     26*T1^11*T2^8 - 10*T1^12*T2^8 + 57*T1^13*T2^8 - 49*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 32*T1^2*T2^9 - 
     165*T1^3*T2^9 + 150*T1^4*T2^9 + 66*T1^5*T2^9 + 62*T1^6*T2^9 + 
     25*T1^7*T2^9 - 6*T1^8*T2^9 - 34*T1^9*T2^9 + 18*T1^10*T2^9 - 
     85*T1^11*T2^9 + 66*T1^12*T2^9 - 95*T1^13*T2^9 + 52*T1^14*T2^9 + 
     4*T1^15*T2^9 - 8*T1^16*T2^9 - 28*T1^2*T2^10 + 28*T1^3*T2^10 + 
     48*T1^4*T2^10 - 55*T1^5*T2^10 - 82*T1^6*T2^10 - 64*T1^7*T2^10 + 
     72*T1^8*T2^10 + 18*T1^9*T2^10 - 12*T1^10*T2^10 + 20*T1^11*T2^10 + 
     16*T1^12*T2^10 + 43*T1^13*T2^10 - 8*T1^14*T2^10 - 28*T1^15*T2^10 + 
     14*T1^16*T2^10 + 21*T1^3*T2^11 - 28*T1^4*T2^11 - 33*T1^5*T2^11 + 
     43*T1^6*T2^11 + 94*T1^7*T2^11 - 26*T1^8*T2^11 - 85*T1^9*T2^11 + 
     20*T1^10*T2^11 + 16*T1^11*T2^11 - 18*T1^12*T2^11 - 55*T1^13*T2^11 + 
     9*T1^14*T2^11 + 28*T1^15*T2^11 - 14*T1^16*T2^11 - 14*T1^4*T2^12 + 
     28*T1^5*T2^12 + 20*T1^6*T2^12 - 74*T1^7*T2^12 - 10*T1^8*T2^12 + 
     66*T1^9*T2^12 + 16*T1^10*T2^12 - 18*T1^11*T2^12 - 10*T1^12*T2^12 + 
     66*T1^13*T2^12 - 8*T1^14*T2^12 - 28*T1^15*T2^12 + 14*T1^16*T2^12 + 
     7*T1^5*T2^13 - 28*T1^6*T2^13 + 17*T1^7*T2^13 + 57*T1^8*T2^13 - 
     95*T1^9*T2^13 + 43*T1^10*T2^13 - 55*T1^11*T2^13 + 66*T1^12*T2^13 - 
     83*T1^13*T2^13 + 10*T1^14*T2^13 + 28*T1^15*T2^13 - 14*T1^16*T2^13 + 
     16*T1^7*T2^14 - 49*T1^8*T2^14 + 52*T1^9*T2^14 - 8*T1^10*T2^14 + 
     9*T1^11*T2^14 - 8*T1^12*T2^14 + 10*T1^13*T2^14 + 35*T1^14*T2^14 - 
     40*T1^15*T2^14 + 14*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 
     4*T1^9*T2^15 - 28*T1^10*T2^15 + 28*T1^11*T2^15 - 28*T1^12*T2^15 + 
     28*T1^13*T2^15 - 40*T1^14*T2^15 + 28*T1^15*T2^15 - 8*T1^16*T2^15 + 
     2*T1^8*T2^16 - 8*T1^9*T2^16 + 14*T1^10*T2^16 - 14*T1^11*T2^16 + 
     14*T1^12*T2^16 - 14*T1^13*T2^16 + 14*T1^14*T2^16 - 8*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 159] -> 
  {(1 - 6*T + 17*T^2 - 23*T^3 + 17*T^4 - 6*T^5 + T^6)/T^3, 
   (-2 + 12*T1 - 34*T1^2 + 46*T1^3 - 34*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 167*T1^2*T2 - 174*T1^3*T2 + 66*T1^4*T2 + 29*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 34*T2^2 + 167*T1*T2^2 - 350*T1^2*T2^2 + 
     170*T1^3*T2^2 + 252*T1^4*T2^2 - 408*T1^5*T2^2 + 194*T1^6*T2^2 - 
     37*T1^7*T2^2 + 46*T2^3 - 174*T1*T2^3 + 170*T1^2*T2^3 + 573*T1^3*T2^3 - 
     1401*T1^4*T2^3 + 1092*T1^5*T2^3 - 117*T1^6*T2^3 - 289*T1^7*T2^3 + 
     138*T1^8*T2^3 - 23*T1^9*T2^3 - 34*T2^4 + 66*T1*T2^4 + 252*T1^2*T2^4 - 
     1401*T1^3*T2^4 + 2107*T1^4*T2^4 - 381*T1^5*T2^4 - 1497*T1^6*T2^4 + 
     1451*T1^7*T2^4 - 248*T1^8*T2^4 - 66*T1^9*T2^4 + 34*T1^10*T2^4 + 
     12*T2^5 + 29*T1*T2^5 - 408*T1^2*T2^5 + 1092*T1^3*T2^5 - 381*T1^4*T2^5 - 
     3659*T1^5*T2^5 + 5153*T1^6*T2^5 - 2540*T1^7*T2^5 - 683*T1^8*T2^5 + 
     527*T1^9*T2^5 - 97*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     194*T1^2*T2^6 - 117*T1^3*T2^6 - 1497*T1^4*T2^6 + 5153*T1^5*T2^6 - 
     2928*T1^6*T2^6 - 2405*T1^7*T2^6 + 4541*T1^8*T2^6 - 1275*T1^9*T2^6 + 
     10*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     37*T1^2*T2^7 - 289*T1^3*T2^7 + 1451*T1^4*T2^7 - 2540*T1^5*T2^7 - 
     2405*T1^6*T2^7 + 6407*T1^7*T2^7 - 4699*T1^8*T2^7 - 324*T1^9*T2^7 + 
     646*T1^10*T2^7 - 163*T1^11*T2^7 - 24*T1^12*T2^7 + 138*T1^3*T2^8 - 
     248*T1^4*T2^8 - 683*T1^5*T2^8 + 4541*T1^6*T2^8 - 4699*T1^7*T2^8 + 
     937*T1^8*T2^8 + 2169*T1^9*T2^8 - 748*T1^10*T2^8 + 6*T1^11*T2^8 + 
     68*T1^12*T2^8 - 23*T1^3*T2^9 - 66*T1^4*T2^9 + 527*T1^5*T2^9 - 
     1275*T1^6*T2^9 - 324*T1^7*T2^9 + 2169*T1^8*T2^9 - 1965*T1^9*T2^9 + 
     68*T1^10*T2^9 + 246*T1^11*T2^9 - 92*T1^12*T2^9 + 34*T1^4*T2^10 - 
     97*T1^5*T2^10 + 10*T1^6*T2^10 + 646*T1^7*T2^10 - 748*T1^8*T2^10 + 
     68*T1^9*T2^10 + 554*T1^10*T2^10 - 301*T1^11*T2^10 + 68*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 163*T1^7*T2^11 + 6*T1^8*T2^11 + 
     246*T1^9*T2^11 - 301*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 68*T1^8*T2^12 - 92*T1^9*T2^12 + 
     68*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 160] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 64*T1^2 + 84*T1^3 - 64*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 276*T1^2*T2 - 215*T1^3*T2 + 7*T1^4*T2 + 144*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 64*T2^2 + 276*T1*T2^2 - 407*T1^2*T2^2 - 
     195*T1^3*T2^2 + 723*T1^4*T2^2 - 675*T1^5*T2^2 + 73*T1^6*T2^2 + 
     84*T1^7*T2^2 - 32*T1^8*T2^2 + 84*T2^3 - 215*T1*T2^3 - 195*T1^2*T2^3 + 
     1705*T1^3*T2^3 - 1730*T1^4*T2^3 + 436*T1^5*T2^3 + 979*T1^6*T2^3 - 
     531*T1^7*T2^3 + 67*T1^8*T2^3 + 21*T1^9*T2^3 - 64*T2^4 + 7*T1*T2^4 + 
     723*T1^2*T2^4 - 1730*T1^3*T2^4 - 508*T1^4*T2^4 + 2950*T1^5*T2^4 - 
     3328*T1^6*T2^4 + 706*T1^7*T2^4 + 235*T1^8*T2^4 - 125*T1^9*T2^4 + 
     24*T2^5 + 144*T1*T2^5 - 675*T1^2*T2^5 + 436*T1^3*T2^5 + 2950*T1^4*T2^5 - 
     4158*T1^5*T2^5 + 2148*T1^6*T2^5 + 1414*T1^7*T2^5 - 1190*T1^8*T2^5 + 
     237*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     73*T1^2*T2^6 + 979*T1^3*T2^6 - 3328*T1^4*T2^6 + 2148*T1^5*T2^6 + 
     1212*T1^6*T2^6 - 3408*T1^7*T2^6 + 1424*T1^8*T2^6 + 85*T1^9*T2^6 - 
     183*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     84*T1^2*T2^7 - 531*T1^3*T2^7 + 706*T1^4*T2^7 + 1414*T1^5*T2^7 - 
     3408*T1^6*T2^7 + 2898*T1^7*T2^7 - 122*T1^8*T2^7 - 920*T1^9*T2^7 + 
     381*T1^10*T2^7 - 24*T1^11*T2^7 - 12*T1^12*T2^7 - 32*T1^2*T2^8 + 
     67*T1^3*T2^8 + 235*T1^4*T2^8 - 1190*T1^5*T2^8 + 1424*T1^6*T2^8 - 
     122*T1^7*T2^8 - 1396*T1^8*T2^8 + 1246*T1^9*T2^8 - 253*T1^10*T2^8 - 
     65*T1^11*T2^8 + 32*T1^12*T2^8 + 21*T1^3*T2^9 - 125*T1^4*T2^9 + 
     237*T1^5*T2^9 + 85*T1^6*T2^9 - 920*T1^7*T2^9 + 1246*T1^8*T2^9 - 
     641*T1^9*T2^9 - 99*T1^10*T2^9 + 157*T1^11*T2^9 - 42*T1^12*T2^9 + 
     36*T1^5*T2^10 - 183*T1^6*T2^10 + 381*T1^7*T2^10 - 253*T1^8*T2^10 - 
     99*T1^9*T2^10 + 297*T1^10*T2^10 - 156*T1^11*T2^10 + 32*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 24*T1^7*T2^11 - 65*T1^8*T2^11 + 
     157*T1^9*T2^11 - 156*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 32*T1^8*T2^12 - 42*T1^9*T2^12 + 
     32*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 161] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-33 + 132*T1 - 230*T1^2 + 245*T1^3 - 230*T1^4 + 132*T1^5 - 33*T1^6 + 
     132*T2 - 428*T1*T2 + 520*T1^2*T2 - 284*T1^3*T2 + 180*T1^4*T2 + 
     168*T1^5*T2 - 268*T1^6*T2 + 100*T1^7*T2 - 230*T2^2 + 520*T1*T2^2 - 
     120*T1^2*T2^2 - 618*T1^3*T2^2 + 564*T1^4*T2^2 - 1010*T1^5*T2^2 + 
     552*T1^6*T2^2 + 72*T1^7*T2^2 - 118*T1^8*T2^2 + 245*T2^3 - 284*T1*T2^3 - 
     618*T1^2*T2^3 + 1262*T1^3*T2^3 - 486*T1^4*T2^3 + 782*T1^5*T2^3 + 
     328*T1^6*T2^3 - 758*T1^7*T2^3 + 212*T1^8*T2^3 + 65*T1^9*T2^3 - 
     230*T2^4 + 180*T1*T2^4 + 564*T1^2*T2^4 - 486*T1^3*T2^4 - 875*T1^4*T2^4 + 
     405*T1^5*T2^4 - 1211*T1^6*T2^4 + 714*T1^7*T2^4 + 212*T1^8*T2^4 - 
     236*T1^9*T2^4 - 6*T1^10*T2^4 + 132*T2^5 + 168*T1*T2^5 - 1010*T1^2*T2^5 + 
     782*T1^3*T2^5 + 405*T1^4*T2^5 + 462*T1^5*T2^5 - 40*T1^6*T2^5 + 
     377*T1^7*T2^5 - 622*T1^8*T2^5 + 138*T1^9*T2^5 + 136*T1^10*T2^5 - 
     28*T1^11*T2^5 - 33*T2^6 - 268*T1*T2^6 + 552*T1^2*T2^6 + 328*T1^3*T2^6 - 
     1211*T1^4*T2^6 - 40*T1^5*T2^6 - 108*T1^6*T2^6 + 96*T1^7*T2^6 - 
     11*T1^8*T2^6 + 416*T1^9*T2^6 - 376*T1^10*T2^6 + 52*T1^11*T2^6 + 
     15*T1^12*T2^6 + 100*T1*T2^7 + 72*T1^2*T2^7 - 758*T1^3*T2^7 + 
     714*T1^4*T2^7 + 377*T1^5*T2^7 + 96*T1^6*T2^7 - 406*T1^7*T2^7 + 
     349*T1^8*T2^7 - 690*T1^9*T2^7 + 390*T1^10*T2^7 + 40*T1^11*T2^7 - 
     60*T1^12*T2^7 - 118*T1^2*T2^8 + 212*T1^3*T2^8 + 212*T1^4*T2^8 - 
     622*T1^5*T2^8 - 11*T1^6*T2^8 + 349*T1^7*T2^8 - 347*T1^8*T2^8 + 
     578*T1^9*T2^8 - 140*T1^10*T2^8 - 204*T1^11*T2^8 + 106*T1^12*T2^8 + 
     65*T1^3*T2^9 - 236*T1^4*T2^9 + 138*T1^5*T2^9 + 416*T1^6*T2^9 - 
     690*T1^7*T2^9 + 578*T1^8*T2^9 - 518*T1^9*T2^9 - 2*T1^10*T2^9 + 
     260*T1^11*T2^9 - 115*T1^12*T2^9 - 6*T1^4*T2^10 + 136*T1^5*T2^10 - 
     376*T1^6*T2^10 + 390*T1^7*T2^10 - 140*T1^8*T2^10 - 2*T1^9*T2^10 + 
     296*T1^10*T2^10 - 312*T1^11*T2^10 + 106*T1^12*T2^10 - 28*T1^5*T2^11 + 
     52*T1^6*T2^11 + 40*T1^7*T2^11 - 204*T1^8*T2^11 + 260*T1^9*T2^11 - 
     312*T1^10*T2^11 + 212*T1^11*T2^11 - 60*T1^12*T2^11 + 15*T1^6*T2^12 - 
     60*T1^7*T2^12 + 106*T1^8*T2^12 - 115*T1^9*T2^12 + 106*T1^10*T2^12 - 
     60*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 162] -> 
  {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   (-2*(-42 + 197*T1 - 295*T1^2 + 197*T1^3 - 42*T1^4 + 197*T2 - 797*T1*T2 + 
      755*T1^2*T2 + 20*T1^3*T2 - 440*T1^4*T2 + 134*T1^5*T2 - 295*T2^2 + 
      755*T1*T2^2 + 872*T1^2*T2^2 - 2666*T1^3*T2^2 + 2006*T1^4*T2^2 - 
      127*T1^5*T2^2 - 106*T1^6*T2^2 + 197*T2^3 + 20*T1*T2^3 - 
      2666*T1^2*T2^3 + 3392*T1^3*T2^3 - 682*T1^4*T2^3 - 1490*T1^5*T2^3 + 
      461*T1^6*T2^3 + 8*T1^7*T2^3 - 42*T2^4 - 440*T1*T2^4 + 2006*T1^2*T2^4 - 
      682*T1^3*T2^4 - 2232*T1^4*T2^4 + 2594*T1^5*T2^4 - 360*T1^6*T2^4 - 
      104*T1^7*T2^4 + 12*T1^8*T2^4 + 134*T1*T2^5 - 127*T1^2*T2^5 - 
      1490*T1^3*T2^5 + 2594*T1^4*T2^5 - 1480*T1^5*T2^5 - 314*T1^6*T2^5 + 
      314*T1^7*T2^5 - 55*T1^8*T2^5 - 106*T1^2*T2^6 + 461*T1^3*T2^6 - 
      360*T1^4*T2^6 - 314*T1^5*T2^6 + 774*T1^6*T2^6 - 421*T1^7*T2^6 + 
      83*T1^8*T2^6 + 8*T1^3*T2^7 - 104*T1^4*T2^7 + 314*T1^5*T2^7 - 
      421*T1^6*T2^7 + 253*T1^7*T2^7 - 55*T1^8*T2^7 + 12*T1^4*T2^8 - 
      55*T1^5*T2^8 + 83*T1^6*T2^8 - 55*T1^7*T2^8 + 12*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[11, NonAlternating, 163] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 88*T1^2 + 116*T1^3 - 88*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 512*T1^2*T2 - 400*T1^3*T2 + 8*T1^4*T2 + 272*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 88*T2^2 + 512*T1*T2^2 - 452*T1^2*T2^2 - 
     1286*T1^3*T2^2 + 2614*T1^4*T2^2 - 2210*T1^5*T2^2 + 472*T1^6*T2^2 + 
     160*T1^7*T2^2 - 44*T1^8*T2^2 + 116*T2^3 - 400*T1*T2^3 - 1286*T1^2*T2^3 + 
     5357*T1^3*T2^3 - 5185*T1^4*T2^3 + 1181*T1^5*T2^3 + 2687*T1^6*T2^3 - 
     1616*T1^7*T2^3 + 120*T1^8*T2^3 + 29*T1^9*T2^3 - 88*T2^4 + 8*T1*T2^4 + 
     2614*T1^2*T2^4 - 5185*T1^3*T2^4 - 971*T1^4*T2^4 + 7991*T1^5*T2^4 - 
     8867*T1^6*T2^4 + 2007*T1^7*T2^4 + 838*T1^8*T2^4 - 232*T1^9*T2^4 + 
     32*T2^5 + 272*T1*T2^5 - 2210*T1^2*T2^5 + 1181*T1^3*T2^5 + 
     7991*T1^4*T2^5 - 11458*T1^5*T2^5 + 5600*T1^6*T2^5 + 3811*T1^7*T2^5 - 
     3533*T1^8*T2^5 + 496*T1^9*T2^5 + 64*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 472*T1^2*T2^6 + 2687*T1^3*T2^6 - 8867*T1^4*T2^6 + 
     5600*T1^5*T2^6 + 3888*T1^6*T2^6 - 9400*T1^7*T2^6 + 4169*T1^8*T2^6 + 
     401*T1^9*T2^6 - 476*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 160*T1^2*T2^7 - 1616*T1^3*T2^7 + 2007*T1^4*T2^7 + 
     3811*T1^5*T2^7 - 9400*T1^6*T2^7 + 7658*T1^7*T2^7 - 369*T1^8*T2^7 - 
     2707*T1^9*T2^7 + 1090*T1^10*T2^7 - 48*T1^11*T2^7 - 16*T1^12*T2^7 - 
     44*T1^2*T2^8 + 120*T1^3*T2^8 + 838*T1^4*T2^8 - 3533*T1^5*T2^8 + 
     4169*T1^6*T2^8 - 369*T1^7*T2^8 - 3727*T1^8*T2^8 + 3659*T1^9*T2^8 - 
     938*T1^10*T2^8 - 120*T1^11*T2^8 + 44*T1^12*T2^8 + 29*T1^3*T2^9 - 
     232*T1^4*T2^9 + 496*T1^5*T2^9 + 401*T1^6*T2^9 - 2707*T1^7*T2^9 + 
     3659*T1^8*T2^9 - 2269*T1^9*T2^9 + 166*T1^10*T2^9 + 288*T1^11*T2^9 - 
     58*T1^12*T2^9 + 64*T1^5*T2^10 - 476*T1^6*T2^10 + 1090*T1^7*T2^10 - 
     938*T1^8*T2^10 + 166*T1^9*T2^10 + 448*T1^10*T2^10 - 288*T1^11*T2^10 + 
     44*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 48*T1^7*T2^11 - 
     120*T1^8*T2^11 + 288*T1^9*T2^11 - 288*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 44*T1^8*T2^12 - 
     58*T1^9*T2^12 + 44*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 164] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-5 + 20*T1 - 25*T1^2 + 20*T1^3 - 5*T1^4 + 20*T2 - 65*T1*T2 + 
       40*T1^2*T2 - 5*T1^3*T2 - 40*T1^4*T2 + 15*T1^5*T2 - 25*T2^2 + 
       40*T1*T2^2 + 99*T1^2*T2^2 - 156*T1^3*T2^2 + 159*T1^4*T2^2 - 
       20*T1^5*T2^2 - 10*T1^6*T2^2 + 20*T2^3 - 5*T1*T2^3 - 156*T1^2*T2^3 + 
       148*T1^3*T2^3 - 72*T1^4*T2^3 - 76*T1^5*T2^3 + 36*T1^6*T2^3 + 
       T1^7*T2^3 - 5*T2^4 - 40*T1*T2^4 + 159*T1^2*T2^4 - 72*T1^3*T2^4 - 
       60*T1^4*T2^4 + 128*T1^5*T2^4 - 35*T1^6*T2^4 - 8*T1^7*T2^4 + 
       T1^8*T2^4 + 15*T1*T2^5 - 20*T1^2*T2^5 - 76*T1^3*T2^5 + 128*T1^4*T2^5 - 
       92*T1^5*T2^5 + 4*T1^6*T2^5 + 21*T1^7*T2^5 - 4*T1^8*T2^5 - 
       10*T1^2*T2^6 + 36*T1^3*T2^6 - 35*T1^4*T2^6 + 4*T1^5*T2^6 + 
       25*T1^6*T2^6 - 24*T1^7*T2^6 + 5*T1^8*T2^6 + T1^3*T2^7 - 8*T1^4*T2^7 + 
       21*T1^5*T2^7 - 24*T1^6*T2^7 + 17*T1^7*T2^7 - 4*T1^8*T2^7 + T1^4*T2^8 - 
       4*T1^5*T2^8 + 5*T1^6*T2^8 - 4*T1^7*T2^8 + T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 165] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((-3 + 21*T1 - 60*T1^2 + 87*T1^3 - 60*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 322*T1^2*T2 - 329*T1^3*T2 + 14*T1^4*T2 + 133*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 60*T2^2 + 322*T1*T2^2 - 535*T1^2*T2^2 - 
      80*T1^3*T2^2 + 1247*T1^4*T2^2 - 960*T1^5*T2^2 + 225*T1^6*T2^2 + 
      42*T1^7*T2^2 - 20*T1^8*T2^2 + 87*T2^3 - 329*T1*T2^3 - 80*T1^2*T2^3 + 
      2115*T1^3*T2^3 - 3610*T1^4*T2^3 + 901*T1^5*T2^3 + 945*T1^6*T2^3 - 
      700*T1^7*T2^3 + 140*T1^8*T2^3 - 60*T2^4 + 14*T1*T2^4 + 1247*T1^2*T2^4 - 
      3610*T1^3*T2^4 + 2565*T1^4*T2^4 + 3947*T1^5*T2^4 - 4847*T1^6*T2^4 + 
      1784*T1^7*T2^4 + 5*T1^8*T2^4 - 140*T1^9*T2^4 + 20*T1^10*T2^4 + 
      21*T2^5 + 133*T1*T2^5 - 960*T1^2*T2^5 + 901*T1^3*T2^5 + 
      3947*T1^4*T2^5 - 10631*T1^5*T2^5 + 6729*T1^6*T2^5 + 187*T1^7*T2^5 - 
      1844*T1^8*T2^5 + 700*T1^9*T2^5 - 42*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 225*T1^2*T2^6 + 945*T1^3*T2^6 - 4847*T1^4*T2^6 + 
      6729*T1^5*T2^6 + 660*T1^6*T2^6 - 7189*T1^7*T2^6 + 4789*T1^8*T2^6 - 
      909*T1^9*T2^6 - 227*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 42*T1^2*T2^7 - 700*T1^3*T2^7 + 1784*T1^4*T2^7 + 
      187*T1^5*T2^7 - 7189*T1^6*T2^7 + 10171*T1^7*T2^7 - 3573*T1^8*T2^7 - 
      961*T1^9*T2^7 + 960*T1^10*T2^7 - 133*T1^11*T2^7 - 21*T1^12*T2^7 - 
      20*T1^2*T2^8 + 140*T1^3*T2^8 + 5*T1^4*T2^8 - 1844*T1^5*T2^8 + 
      4789*T1^6*T2^8 - 3573*T1^7*T2^8 - 2623*T1^8*T2^8 + 3550*T1^9*T2^8 - 
      1237*T1^10*T2^8 - 14*T1^11*T2^8 + 60*T1^12*T2^8 - 140*T1^4*T2^9 + 
      700*T1^5*T2^9 - 909*T1^6*T2^9 - 961*T1^7*T2^9 + 3550*T1^8*T2^9 - 
      2079*T1^9*T2^9 + 80*T1^10*T2^9 + 329*T1^11*T2^9 - 87*T1^12*T2^9 + 
      20*T1^4*T2^10 - 42*T1^5*T2^10 - 227*T1^6*T2^10 + 960*T1^7*T2^10 - 
      1237*T1^8*T2^10 + 80*T1^9*T2^10 + 533*T1^10*T2^10 - 322*T1^11*T2^10 + 
      60*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 133*T1^7*T2^11 - 
      14*T1^8*T2^11 + 329*T1^9*T2^11 - 322*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 60*T1^8*T2^12 - 
      87*T1^9*T2^12 + 60*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 166] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 40*T1^2 + 55*T1^3 - 55*T1^4 + 55*T1^5 - 40*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 96*T1^2*T2 - 92*T1^3*T2 + 
      44*T1^4*T2 - 44*T1^5*T2 - 16*T1^6*T2 + 48*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 40*T2^2 + 96*T1*T2^2 - 88*T1^2*T2^2 + 24*T1^3*T2^2 + 
      75*T1^4*T2^2 - 6*T1^5*T2^2 + 123*T1^6*T2^2 - 88*T1^7*T2^2 + 
      24*T1^8*T2^2 + 32*T1^9*T2^2 - 24*T1^10*T2^2 + 55*T2^3 - 92*T1*T2^3 + 
      24*T1^2*T2^3 + 57*T1^3*T2^3 - 133*T1^4*T2^3 - 66*T1^5*T2^3 - 
      143*T1^6*T2^3 - 20*T1^7*T2^3 + 69*T1^8*T2^3 - 80*T1^9*T2^3 + 
      8*T1^10*T2^3 + 22*T1^11*T2^3 - 55*T2^4 + 44*T1*T2^4 + 75*T1^2*T2^4 - 
      133*T1^3*T2^4 + 167*T1^4*T2^4 + 94*T1^5*T2^4 + 249*T1^6*T2^4 + 
      50*T1^7*T2^4 - 9*T1^8*T2^4 - T1^9*T2^4 + 75*T1^10*T2^4 - 
      44*T1^11*T2^4 - 11*T1^12*T2^4 + 55*T2^5 - 44*T1*T2^5 - 6*T1^2*T2^5 - 
      66*T1^3*T2^5 + 94*T1^4*T2^5 - 327*T1^5*T2^5 - 125*T1^6*T2^5 - 
      213*T1^7*T2^5 + 25*T1^8*T2^5 + 17*T1^9*T2^5 - 77*T1^10*T2^5 - 
      6*T1^11*T2^5 + 44*T1^12*T2^5 - 40*T2^6 - 16*T1*T2^6 + 123*T1^2*T2^6 - 
      143*T1^3*T2^6 + 249*T1^4*T2^6 - 125*T1^5*T2^6 + 561*T1^6*T2^6 - 
      135*T1^7*T2^6 + 193*T1^8*T2^6 - 125*T1^9*T2^6 + 73*T1^10*T2^6 + 
      33*T1^11*T2^6 - 21*T1^12*T2^6 - 32*T1^13*T2^6 + 8*T1^14*T2^6 + 
      20*T2^7 + 48*T1*T2^7 - 88*T1^2*T2^7 - 20*T1^3*T2^7 + 50*T1^4*T2^7 - 
      213*T1^5*T2^7 - 135*T1^6*T2^7 - 303*T1^7*T2^7 + 271*T1^8*T2^7 - 
      100*T1^9*T2^7 + 51*T1^10*T2^7 - 5*T1^11*T2^7 - 57*T1^12*T2^7 + 
      64*T1^13*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 24*T1^2*T2^8 + 
      69*T1^3*T2^8 - 9*T1^4*T2^8 + 25*T1^5*T2^8 + 193*T1^6*T2^8 + 
      271*T1^7*T2^8 - 192*T1^8*T2^8 - 155*T1^9*T2^8 + 67*T1^10*T2^8 - 
      129*T1^11*T2^8 + 103*T1^12*T2^8 - 33*T1^13*T2^8 - 40*T1^14*T2^8 + 
      20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 
      80*T1^3*T2^9 - T1^4*T2^9 + 17*T1^5*T2^9 - 125*T1^6*T2^9 - 
      100*T1^7*T2^9 - 155*T1^8*T2^9 + 419*T1^9*T2^9 - 65*T1^10*T2^9 + 
      139*T1^11*T2^9 - 38*T1^12*T2^9 - 38*T1^13*T2^9 + 72*T1^14*T2^9 - 
      16*T1^15*T2^9 - 12*T1^16*T2^9 - 24*T1^2*T2^10 + 8*T1^3*T2^10 + 
      75*T1^4*T2^10 - 77*T1^5*T2^10 + 73*T1^6*T2^10 + 51*T1^7*T2^10 + 
      67*T1^8*T2^10 - 65*T1^9*T2^10 - 301*T1^10*T2^10 + 51*T1^11*T2^10 - 
      103*T1^12*T2^10 + 99*T1^13*T2^10 - 69*T1^14*T2^10 - 8*T1^15*T2^10 + 
      24*T1^16*T2^10 + 22*T1^3*T2^11 - 44*T1^4*T2^11 - 6*T1^5*T2^11 + 
      33*T1^6*T2^11 - 5*T1^7*T2^11 - 129*T1^8*T2^11 + 139*T1^9*T2^11 + 
      51*T1^10*T2^11 + 223*T1^11*T2^11 - 82*T1^12*T2^11 + 22*T1^13*T2^11 - 
      6*T1^14*T2^11 + 44*T1^15*T2^11 - 33*T1^16*T2^11 - 11*T1^4*T2^12 + 
      44*T1^5*T2^12 - 21*T1^6*T2^12 - 57*T1^7*T2^12 + 103*T1^8*T2^12 - 
      38*T1^9*T2^12 - 103*T1^10*T2^12 - 82*T1^11*T2^12 - 73*T1^12*T2^12 + 
      75*T1^13*T2^12 - 21*T1^14*T2^12 - 44*T1^15*T2^12 + 33*T1^16*T2^12 - 
      32*T1^6*T2^13 + 64*T1^7*T2^13 - 33*T1^8*T2^13 - 38*T1^9*T2^13 + 
      99*T1^10*T2^13 + 22*T1^11*T2^13 + 75*T1^12*T2^13 - 21*T1^13*T2^13 - 
      40*T1^14*T2^13 + 68*T1^15*T2^13 - 33*T1^16*T2^13 + 8*T1^6*T2^14 - 
      40*T1^8*T2^14 + 72*T1^9*T2^14 - 69*T1^10*T2^14 - 6*T1^11*T2^14 - 
      21*T1^12*T2^14 - 40*T1^13*T2^14 + 72*T1^14*T2^14 - 64*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 16*T1^9*T2^15 - 
      8*T1^10*T2^15 + 44*T1^11*T2^15 - 44*T1^12*T2^15 + 68*T1^13*T2^15 - 
      64*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 24*T1^10*T2^16 - 33*T1^11*T2^16 + 33*T1^12*T2^16 - 
      33*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[11, NonAlternating, 167] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 60*T1^2 + 84*T1^3 - 60*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 228*T1^2*T2 - 197*T1^3*T2 - 17*T1^4*T2 + 128*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 60*T2^2 + 228*T1*T2^2 - 584*T1^2*T2^2 + 
     318*T1^3*T2^2 + 196*T1^4*T2^2 - 162*T1^5*T2^2 - 164*T1^6*T2^2 + 
     78*T1^7*T2^2 - 30*T1^8*T2^2 + 84*T2^3 - 197*T1*T2^3 + 318*T1^2*T2^3 + 
     886*T1^3*T2^3 - 1332*T1^4*T2^3 + 108*T1^5*T2^3 + 772*T1^6*T2^3 - 
     177*T1^7*T2^3 + 43*T1^8*T2^3 + 21*T1^9*T2^3 - 60*T2^4 - 17*T1*T2^4 + 
     196*T1^2*T2^4 - 1332*T1^3*T2^4 - 505*T1^4*T2^4 + 3445*T1^5*T2^4 - 
     3025*T1^6*T2^4 + 348*T1^7*T2^4 + 46*T1^8*T2^4 - 107*T1^9*T2^4 + 
     20*T2^5 + 128*T1*T2^5 - 162*T1^2*T2^5 + 108*T1^3*T2^5 + 3445*T1^4*T2^5 - 
     5207*T1^5*T2^5 + 1783*T1^6*T2^5 + 1720*T1^7*T2^5 - 852*T1^8*T2^5 + 
     273*T1^9*T2^5 + 28*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     164*T1^2*T2^6 + 772*T1^3*T2^6 - 3025*T1^4*T2^6 + 1783*T1^5*T2^6 + 
     2652*T1^6*T2^6 - 4047*T1^7*T2^6 + 1265*T1^8*T2^6 - 104*T1^9*T2^6 - 
     124*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     78*T1^2*T2^7 - 177*T1^3*T2^7 + 348*T1^4*T2^7 + 1720*T1^5*T2^7 - 
     4047*T1^6*T2^7 + 2943*T1^7*T2^7 - 5*T1^8*T2^7 - 612*T1^9*T2^7 + 
     258*T1^10*T2^7 - 22*T1^11*T2^7 - 10*T1^12*T2^7 - 30*T1^2*T2^8 + 
     43*T1^3*T2^8 + 46*T1^4*T2^8 - 852*T1^5*T2^8 + 1265*T1^6*T2^8 - 
     5*T1^7*T2^8 - 1255*T1^8*T2^8 + 828*T1^9*T2^8 - 104*T1^10*T2^8 - 
     47*T1^11*T2^8 + 30*T1^12*T2^8 + 21*T1^3*T2^9 - 107*T1^4*T2^9 + 
     273*T1^5*T2^9 - 104*T1^6*T2^9 - 612*T1^7*T2^9 + 828*T1^8*T2^9 - 
     218*T1^9*T2^9 - 222*T1^10*T2^9 + 133*T1^11*T2^9 - 42*T1^12*T2^9 + 
     28*T1^5*T2^10 - 124*T1^6*T2^10 + 258*T1^7*T2^10 - 104*T1^8*T2^10 - 
     222*T1^9*T2^10 + 296*T1^10*T2^10 - 122*T1^11*T2^10 + 30*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 22*T1^7*T2^11 - 47*T1^8*T2^11 + 
     133*T1^9*T2^11 - 122*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 30*T1^8*T2^12 - 42*T1^9*T2^12 + 
     30*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 168] -> 
  {(1 - 6*T + 18*T^2 - 25*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 72*T1^2 + 100*T1^3 - 72*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 324*T1^2*T2 - 276*T1^3*T2 - 18*T1^4*T2 + 180*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 72*T2^2 + 324*T1*T2^2 - 677*T1^2*T2^2 + 
     65*T1^3*T2^2 + 765*T1^4*T2^2 - 619*T1^5*T2^2 - 65*T1^6*T2^2 + 
     108*T1^7*T2^2 - 36*T1^8*T2^2 + 100*T2^3 - 276*T1*T2^3 + 65*T1^2*T2^3 + 
     1991*T1^3*T2^3 - 2521*T1^4*T2^3 + 323*T1^5*T2^3 + 1349*T1^6*T2^3 - 
     529*T1^7*T2^3 + 66*T1^8*T2^3 + 25*T1^9*T2^3 - 72*T2^4 - 18*T1*T2^4 + 
     765*T1^2*T2^4 - 2521*T1^3*T2^4 - 307*T1^4*T2^4 + 4985*T1^5*T2^4 - 
     4783*T1^6*T2^4 + 779*T1^7*T2^4 + 261*T1^8*T2^4 - 150*T1^9*T2^4 + 
     24*T2^5 + 180*T1*T2^5 - 619*T1^2*T2^5 + 323*T1^3*T2^5 + 4985*T1^4*T2^5 - 
     8172*T1^5*T2^5 + 3612*T1^6*T2^5 + 2069*T1^7*T2^5 - 1609*T1^8*T2^5 + 
     335*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 - 
     65*T1^2*T2^6 + 1349*T1^3*T2^6 - 4783*T1^4*T2^6 + 3612*T1^5*T2^6 + 
     3096*T1^6*T2^6 - 6288*T1^7*T2^6 + 2741*T1^8*T2^6 - 97*T1^9*T2^6 - 
     173*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     108*T1^2*T2^7 - 529*T1^3*T2^7 + 779*T1^4*T2^7 + 2069*T1^5*T2^7 - 
     6288*T1^6*T2^7 + 5496*T1^7*T2^7 - 847*T1^8*T2^7 - 1153*T1^9*T2^7 + 
     425*T1^10*T2^7 - 36*T1^11*T2^7 - 12*T1^12*T2^7 - 36*T1^2*T2^8 + 
     66*T1^3*T2^8 + 261*T1^4*T2^8 - 1609*T1^5*T2^8 + 2741*T1^6*T2^8 - 
     847*T1^7*T2^8 - 1735*T1^8*T2^8 + 1691*T1^9*T2^8 - 243*T1^10*T2^8 - 
     66*T1^11*T2^8 + 36*T1^12*T2^8 + 25*T1^3*T2^9 - 150*T1^4*T2^9 + 
     335*T1^5*T2^9 - 97*T1^6*T2^9 - 1153*T1^7*T2^9 + 1691*T1^8*T2^9 - 
     739*T1^9*T2^9 - 259*T1^10*T2^9 + 192*T1^11*T2^9 - 50*T1^12*T2^9 + 
     36*T1^5*T2^10 - 173*T1^6*T2^10 + 425*T1^7*T2^10 - 243*T1^8*T2^10 - 
     259*T1^9*T2^10 + 439*T1^10*T2^10 - 180*T1^11*T2^10 + 36*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 36*T1^7*T2^11 - 66*T1^8*T2^11 + 
     192*T1^9*T2^11 - 180*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 36*T1^8*T2^12 - 50*T1^9*T2^12 + 
     36*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 169] -> 
  {(3 - 6*T + 6*T^2 - 5*T^3 + 6*T^4 - 6*T^5 + 3*T^6)/T^3, 
   -((165 - 327*T1 + 325*T1^2 - 269*T1^3 + 325*T1^4 - 327*T1^5 + 165*T1^6 - 
      327*T2 + 376*T1*T2 - 104*T1^2*T2 - 3*T1^3*T2 - 201*T1^4*T2 + 
      112*T1^5*T2 + 214*T1^6*T2 - 273*T1^7*T2 + 325*T2^2 - 104*T1*T2^2 - 
      237*T1^2*T2^2 + 148*T1^3*T2^2 + 135*T1^4*T2^2 + 112*T1^5*T2^2 - 
      345*T1^6*T2^2 + 112*T1^7*T2^2 + 217*T1^8*T2^2 - 269*T2^3 - 3*T1*T2^3 + 
      148*T1^2*T2^3 + 55*T1^3*T2^3 - 218*T1^4*T2^3 - 74*T1^5*T2^3 + 
      127*T1^6*T2^3 + 94*T1^7*T2^3 - 165*T1^8*T2^3 - 134*T1^9*T2^3 + 
      325*T2^4 - 201*T1*T2^4 + 135*T1^2*T2^4 - 218*T1^3*T2^4 + 
      287*T1^4*T2^4 - 65*T1^5*T2^4 + 11*T1^6*T2^4 - 38*T1^7*T2^4 + 
      63*T1^8*T2^4 + 51*T1^9*T2^4 + 109*T1^10*T2^4 - 327*T2^5 + 112*T1*T2^5 + 
      112*T1^2*T2^5 - 74*T1^3*T2^5 - 65*T1^4*T2^5 - 62*T1^5*T2^5 + 
      94*T1^6*T2^5 - 29*T1^7*T2^5 - 146*T1^8*T2^5 + 94*T1^9*T2^5 - 
      104*T1^10*T2^5 - 57*T1^11*T2^5 + 165*T2^6 + 214*T1*T2^6 - 
      345*T1^2*T2^6 + 127*T1^3*T2^6 + 11*T1^4*T2^6 + 94*T1^5*T2^6 - 
      36*T1^6*T2^6 - 86*T1^7*T2^6 + 191*T1^8*T2^6 - 35*T1^9*T2^6 - 
      21*T1^10*T2^6 + 106*T1^11*T2^6 + 3*T1^12*T2^6 - 273*T1*T2^7 + 
      112*T1^2*T2^7 + 94*T1^3*T2^7 - 38*T1^4*T2^7 - 29*T1^5*T2^7 - 
      86*T1^6*T2^7 + 70*T1^7*T2^7 + 7*T1^8*T2^7 - 110*T1^9*T2^7 + 
      76*T1^10*T2^7 - 104*T1^11*T2^7 - 3*T1^12*T2^7 + 217*T1^2*T2^8 - 
      165*T1^3*T2^8 + 63*T1^4*T2^8 - 146*T1^5*T2^8 + 191*T1^6*T2^8 + 
      7*T1^7*T2^8 - 85*T1^8*T2^8 + 34*T1^9*T2^8 - 9*T1^10*T2^8 + 
      87*T1^11*T2^8 + T1^12*T2^8 - 134*T1^3*T2^9 + 51*T1^4*T2^9 + 
      94*T1^5*T2^9 - 35*T1^6*T2^9 - 110*T1^7*T2^9 + 34*T1^8*T2^9 + 
      37*T1^9*T2^9 + 40*T1^10*T2^9 - 111*T1^11*T2^9 + T1^12*T2^9 + 
      109*T1^4*T2^10 - 104*T1^5*T2^10 - 21*T1^6*T2^10 + 76*T1^7*T2^10 - 
      9*T1^8*T2^10 + 40*T1^9*T2^10 - 129*T1^10*T2^10 + 112*T1^11*T2^10 + 
      T1^12*T2^10 - 57*T1^5*T2^11 + 106*T1^6*T2^11 - 104*T1^7*T2^11 + 
      87*T1^8*T2^11 - 111*T1^9*T2^11 + 112*T1^10*T2^11 - 56*T1^11*T2^11 - 
      3*T1^12*T2^11 + 3*T1^6*T2^12 - 3*T1^7*T2^12 + T1^8*T2^12 + T1^9*T2^12 + 
      T1^10*T2^12 - 3*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 170] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   -((-24 + 127*T1 - 200*T1^2 + 127*T1^3 - 24*T1^4 + 127*T2 - 690*T1*T2 + 
      1154*T1^2*T2 - 814*T1^3*T2 + 222*T1^4*T2 - 17*T1^5*T2 - 200*T2^2 + 
      1154*T1*T2^2 - 1837*T1^2*T2^2 + 309*T1^3*T2^2 + 1463*T1^4*T2^2 - 
      1246*T1^5*T2^2 + 250*T1^6*T2^2 + 127*T2^3 - 814*T1*T2^3 + 
      309*T1^2*T2^3 + 5196*T1^3*T2^3 - 8468*T1^4*T2^3 + 4309*T1^5*T2^3 + 
      290*T1^6*T2^3 - 305*T1^7*T2^3 - 24*T2^4 + 222*T1*T2^4 + 
      1463*T1^2*T2^4 - 8468*T1^3*T2^4 + 7764*T1^4*T2^4 + 2220*T1^5*T2^4 - 
      5829*T1^6*T2^4 + 1182*T1^7*T2^4 + 84*T1^8*T2^4 - 17*T1*T2^5 - 
      1246*T1^2*T2^5 + 4309*T1^3*T2^5 + 2220*T1^4*T2^5 - 11444*T1^5*T2^5 + 
      8309*T1^6*T2^5 - 142*T1^7*T2^5 - 449*T1^8*T2^5 + 250*T1^2*T2^6 + 
      290*T1^3*T2^6 - 5829*T1^4*T2^6 + 8309*T1^5*T2^6 - 2529*T1^6*T2^6 - 
      2110*T1^7*T2^6 + 700*T1^8*T2^6 - 305*T1^3*T2^7 + 1182*T1^4*T2^7 - 
      142*T1^5*T2^7 - 2110*T1^6*T2^7 + 2094*T1^7*T2^7 - 449*T1^8*T2^7 + 
      84*T1^4*T2^8 - 449*T1^5*T2^8 + 700*T1^6*T2^8 - 449*T1^7*T2^8 + 
      84*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 171] -> {(6 - 16*T + 21*T^2 - 16*T^3 + 6*T^4)/T^2, 
   -((915 - 2402*T1 + 3139*T1^2 - 2402*T1^3 + 915*T1^4 - 2402*T2 + 
      4504*T1*T2 - 3488*T1^2*T2 + 64*T1^3*T2 + 2392*T1^4*T2 - 1826*T1^5*T2 + 
      3139*T2^2 - 3488*T1*T2^2 - 350*T1^2*T2^2 + 4326*T1^3*T2^2 - 
      4130*T1^4*T2^2 + 544*T1^5*T2^2 + 1627*T1^6*T2^2 - 2402*T2^3 + 
      64*T1*T2^3 + 4326*T1^2*T2^3 - 5084*T1^3*T2^3 + 1012*T1^4*T2^3 + 
      2982*T1^5*T2^3 - 2528*T1^6*T2^3 - 674*T1^7*T2^3 + 915*T2^4 + 
      2392*T1*T2^4 - 4130*T1^2*T2^4 + 1012*T1^3*T2^4 + 3636*T1^4*T2^4 - 
      4364*T1^5*T2^4 + 1038*T1^6*T2^4 + 1624*T1^7*T2^4 + 51*T1^8*T2^4 - 
      1826*T1*T2^5 + 544*T1^2*T2^5 + 2982*T1^3*T2^5 - 4364*T1^4*T2^5 + 
      1732*T1^5*T2^5 + 1638*T1^6*T2^5 - 2048*T1^7*T2^5 - 98*T1^8*T2^5 + 
      1627*T1^2*T2^6 - 2528*T1^3*T2^6 + 1038*T1^4*T2^6 + 1638*T1^5*T2^6 - 
      2742*T1^6*T2^6 + 1504*T1^7*T2^6 + 115*T1^8*T2^6 - 674*T1^3*T2^7 + 
      1624*T1^4*T2^7 - 2048*T1^5*T2^7 + 1504*T1^6*T2^7 - 488*T1^7*T2^7 - 
      98*T1^8*T2^7 + 51*T1^4*T2^8 - 98*T1^5*T2^8 + 115*T1^6*T2^8 - 
      98*T1^7*T2^8 + 51*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 172] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 114*T1^3*T2 + 16*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 127*T1^2*T2^2 + 
      T1^3*T2^2 + 251*T1^4*T2^2 - 219*T1^5*T2^2 + 93*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 114*T1*T2^3 + T1^2*T2^3 + 
      282*T1^3*T2^3 - 532*T1^4*T2^3 + 178*T1^5*T2^3 + 122*T1^6*T2^3 - 
      164*T1^7*T2^3 + 56*T1^8*T2^3 - 33*T2^4 + 16*T1*T2^4 + 251*T1^2*T2^4 - 
      532*T1^3*T2^4 + 390*T1^4*T2^4 + 394*T1^5*T2^4 - 670*T1^6*T2^4 + 
      308*T1^7*T2^4 - 15*T1^8*T2^4 - 54*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 219*T1^2*T2^5 + 178*T1^3*T2^5 + 394*T1^4*T2^5 - 
      1011*T1^5*T2^5 + 789*T1^6*T2^5 + 119*T1^7*T2^5 - 272*T1^8*T2^5 + 
      166*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      93*T1^2*T2^6 + 122*T1^3*T2^6 - 670*T1^4*T2^6 + 789*T1^5*T2^6 - 
      300*T1^6*T2^6 - 661*T1^7*T2^6 + 316*T1^8*T2^6 - 78*T1^9*T2^6 - 
      99*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 164*T1^3*T2^7 + 308*T1^4*T2^7 + 119*T1^5*T2^7 - 
      661*T1^6*T2^7 + 1139*T1^7*T2^7 - 156*T1^8*T2^7 - 142*T1^9*T2^7 + 
      221*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      56*T1^3*T2^8 - 15*T1^4*T2^8 - 272*T1^5*T2^8 + 316*T1^6*T2^8 - 
      156*T1^7*T2^8 - 744*T1^8*T2^8 + 568*T1^9*T2^8 - 281*T1^10*T2^8 - 
      14*T1^11*T2^8 + 33*T1^12*T2^8 - 54*T1^4*T2^9 + 166*T1^5*T2^9 - 
      78*T1^6*T2^9 - 142*T1^7*T2^9 + 568*T1^8*T2^9 - 238*T1^9*T2^9 + 
      T1^10*T2^9 + 116*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 99*T1^6*T2^10 + 221*T1^7*T2^10 - 281*T1^8*T2^10 + 
      T1^9*T2^10 + 121*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 14*T1^8*T2^11 + 
      116*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 173] -> 
  {(1 - 4*T + 8*T^2 - 7*T^3 + 5*T^4 - 7*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 48*T1^2 + 42*T1^3 - 30*T1^4 + 42*T1^5 - 48*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 112*T1^2*T2 - 8*T1^3*T2 - 20*T1^4*T2 - 
     68*T1^5*T2 + 52*T1^6*T2 + 64*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     48*T2^2 + 112*T1*T2^2 - 94*T1^2*T2^2 - 182*T1^3*T2^2 + 76*T1^4*T2^2 + 
     146*T1^5*T2^2 + 28*T1^6*T2^2 - 230*T1^7*T2^2 + 18*T1^8*T2^2 + 
     48*T1^9*T2^2 - 32*T1^10*T2^2 + 42*T2^3 - 8*T1*T2^3 - 182*T1^2*T2^3 + 
     501*T1^3*T2^3 + 20*T1^4*T2^3 - 219*T1^5*T2^3 - 288*T1^6*T2^3 + 
     311*T1^7*T2^3 + 285*T1^8*T2^3 - 190*T1^9*T2^3 + 44*T1^10*T2^3 + 
     21*T1^11*T2^3 - 30*T2^4 - 20*T1*T2^4 + 76*T1^2*T2^4 + 20*T1^3*T2^4 - 
     855*T1^4*T2^4 + 627*T1^5*T2^4 + 23*T1^6*T2^4 + 399*T1^7*T2^4 - 
     943*T1^8*T2^4 + 272*T1^9*T2^4 + 12*T1^10*T2^4 - 44*T1^11*T2^4 - 
     10*T1^12*T2^4 + 42*T2^5 - 68*T1*T2^5 + 146*T1^2*T2^5 - 219*T1^3*T2^5 + 
     627*T1^4*T2^5 - 131*T1^5*T2^5 - 168*T1^6*T2^5 - 360*T1^7*T2^5 + 
     449*T1^8*T2^5 + 260*T1^9*T2^5 - 174*T1^10*T2^5 + 50*T1^11*T2^5 + 
     12*T1^12*T2^5 + 7*T1^13*T2^5 - 48*T2^6 + 52*T1*T2^6 + 28*T1^2*T2^6 - 
     288*T1^3*T2^6 + 23*T1^4*T2^6 - 168*T1^5*T2^6 + 330*T1^6*T2^6 - 
     128*T1^7*T2^6 + 90*T1^8*T2^6 - 296*T1^9*T2^6 + 39*T1^10*T2^6 - 
     48*T1^11*T2^6 + 44*T1^12*T2^6 - 28*T1^13*T2^6 + 24*T2^7 + 64*T1*T2^7 - 
     230*T1^2*T2^7 + 311*T1^3*T2^7 + 399*T1^4*T2^7 - 360*T1^5*T2^7 - 
     128*T1^6*T2^7 - 45*T1^7*T2^7 + 275*T1^8*T2^7 - 59*T1^9*T2^7 - 
     40*T1^10*T2^7 + 210*T1^11*T2^7 - 136*T1^12*T2^7 + 18*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 18*T1^2*T2^8 + 
     285*T1^3*T2^8 - 943*T1^4*T2^8 + 449*T1^5*T2^8 + 90*T1^6*T2^8 + 
     275*T1^7*T2^8 - 252*T1^8*T2^8 - 147*T1^9*T2^8 + 212*T1^10*T2^8 - 
     233*T1^11*T2^8 + 81*T1^12*T2^8 + 71*T1^13*T2^8 - 46*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 48*T1^2*T2^9 - 
     190*T1^3*T2^9 + 272*T1^4*T2^9 + 260*T1^5*T2^9 - 296*T1^6*T2^9 - 
     59*T1^7*T2^9 - 147*T1^8*T2^9 + 173*T1^9*T2^9 + 10*T1^10*T2^9 + 
     24*T1^11*T2^9 + 71*T1^12*T2^9 - 175*T1^13*T2^9 + 58*T1^14*T2^9 - 
     8*T1^16*T2^9 - 32*T1^2*T2^10 + 44*T1^3*T2^10 + 12*T1^4*T2^10 - 
     174*T1^5*T2^10 + 39*T1^6*T2^10 - 40*T1^7*T2^10 + 212*T1^8*T2^10 + 
     10*T1^9*T2^10 - 28*T1^10*T2^10 - 168*T1^11*T2^10 + 55*T1^12*T2^10 + 
     66*T1^13*T2^10 + 28*T1^14*T2^10 - 36*T1^15*T2^10 + 16*T1^16*T2^10 + 
     21*T1^3*T2^11 - 44*T1^4*T2^11 + 50*T1^5*T2^11 - 48*T1^6*T2^11 + 
     210*T1^7*T2^11 - 233*T1^8*T2^11 + 24*T1^9*T2^11 - 168*T1^10*T2^11 + 
     347*T1^11*T2^11 - 157*T1^12*T2^11 - 3*T1^13*T2^11 - 46*T1^14*T2^11 + 
     36*T1^15*T2^11 - 14*T1^16*T2^11 - 10*T1^4*T2^12 + 12*T1^5*T2^12 + 
     44*T1^6*T2^12 - 136*T1^7*T2^12 + 81*T1^8*T2^12 + 71*T1^9*T2^12 + 
     55*T1^10*T2^12 - 157*T1^11*T2^12 - 7*T1^12*T2^12 + 116*T1^13*T2^12 - 
     20*T1^14*T2^12 - 12*T1^15*T2^12 + 10*T1^16*T2^12 + 7*T1^5*T2^13 - 
     28*T1^6*T2^13 + 18*T1^7*T2^13 + 71*T1^8*T2^13 - 175*T1^9*T2^13 + 
     66*T1^10*T2^13 - 3*T1^11*T2^13 + 116*T1^12*T2^13 - 145*T1^13*T2^13 + 
     10*T1^14*T2^13 + 24*T1^15*T2^13 - 14*T1^16*T2^13 + 16*T1^7*T2^14 - 
     46*T1^8*T2^14 + 58*T1^9*T2^14 + 28*T1^10*T2^14 - 46*T1^11*T2^14 - 
     20*T1^12*T2^14 + 10*T1^13*T2^14 + 66*T1^14*T2^14 - 48*T1^15*T2^14 + 
     16*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 - 36*T1^10*T2^15 + 
     36*T1^11*T2^15 - 12*T1^12*T2^15 + 24*T1^13*T2^15 - 48*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     16*T1^10*T2^16 - 14*T1^11*T2^16 + 10*T1^12*T2^16 - 14*T1^13*T2^16 + 
     16*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[11, NonAlternating, 174] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 225*T1 - 449*T1^2 + 551*T1^3 - 449*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1465*T1^2*T2 - 1039*T1^3*T2 + 39*T1^4*T2 + 
      739*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 449*T2^2 + 1465*T1*T2^2 + 
      281*T1^2*T2^2 - 3347*T1^3*T2^2 + 5431*T1^4*T2^2 - 4755*T1^5*T2^2 + 
      2041*T1^6*T2^2 + 497*T1^7*T2^2 - 273*T1^8*T2^2 + 551*T2^3 - 
      1039*T1*T2^3 - 3347*T1^2*T2^3 + 6328*T1^3*T2^3 - 5470*T1^4*T2^3 + 
      1042*T1^5*T2^3 + 3040*T1^6*T2^3 - 3765*T1^7*T2^3 + 259*T1^8*T2^3 + 
      227*T1^9*T2^3 - 449*T2^4 + 39*T1*T2^4 + 5431*T1^2*T2^4 - 
      5470*T1^3*T2^4 + 1532*T1^4*T2^4 + 3342*T1^5*T2^4 - 4452*T1^6*T2^4 + 
      1658*T1^7*T2^4 + 2769*T1^8*T2^4 - 709*T1^9*T2^4 - 97*T1^10*T2^4 + 
      225*T2^5 + 739*T1*T2^5 - 4755*T1^2*T2^5 + 1042*T1^3*T2^5 + 
      3342*T1^4*T2^5 - 4876*T1^5*T2^5 + 1702*T1^6*T2^5 + 2374*T1^7*T2^5 - 
      4238*T1^8*T2^5 - 377*T1^9*T2^5 + 497*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 2041*T1^2*T2^6 + 3040*T1^3*T2^6 - 
      4452*T1^4*T2^6 + 1702*T1^5*T2^6 + 2844*T1^6*T2^6 - 4370*T1^7*T2^6 + 
      2368*T1^8*T2^6 + 2392*T1^9*T2^6 - 819*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 497*T1^2*T2^7 - 3765*T1^3*T2^7 + 
      1658*T1^4*T2^7 + 2374*T1^5*T2^7 - 4370*T1^6*T2^7 + 2208*T1^7*T2^7 + 
      1406*T1^8*T2^7 - 3622*T1^9*T2^7 + 613*T1^10*T2^7 + 255*T1^11*T2^7 - 
      39*T1^12*T2^7 - 273*T1^2*T2^8 + 259*T1^3*T2^8 + 2769*T1^4*T2^8 - 
      4238*T1^5*T2^8 + 2368*T1^6*T2^8 + 1406*T1^7*T2^8 - 3616*T1^8*T2^8 + 
      2890*T1^9*T2^8 + 107*T1^10*T2^8 - 489*T1^11*T2^8 + 79*T1^12*T2^8 + 
      227*T1^3*T2^9 - 709*T1^4*T2^9 - 377*T1^5*T2^9 + 2392*T1^6*T2^9 - 
      3622*T1^7*T2^9 + 2890*T1^8*T2^9 - 896*T1^9*T2^9 - 795*T1^10*T2^9 + 
      589*T1^11*T2^9 - 97*T1^12*T2^9 - 97*T1^4*T2^10 + 497*T1^5*T2^10 - 
      819*T1^6*T2^10 + 613*T1^7*T2^10 + 107*T1^8*T2^10 - 795*T1^9*T2^10 + 
      941*T1^10*T2^10 - 471*T1^11*T2^10 + 79*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 255*T1^7*T2^11 - 489*T1^8*T2^11 + 589*T1^9*T2^11 - 
      471*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 79*T1^8*T2^12 - 97*T1^9*T2^12 + 79*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 175] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((-41 + 183*T1 - 282*T1^2 + 301*T1^3 - 282*T1^4 + 183*T1^5 - 41*T1^6 + 
      183*T2 - 670*T1*T2 + 605*T1^2*T2 - 337*T1^3*T2 + 185*T1^4*T2 + 
      191*T1^5*T2 - 472*T1^6*T2 + 147*T1^7*T2 - 282*T2^2 + 605*T1*T2^2 + 
      790*T1^2*T2^2 - 1652*T1^3*T2^2 + 1686*T1^4*T2^2 - 1988*T1^5*T2^2 + 
      1462*T1^6*T2^2 + 101*T1^7*T2^2 - 170*T1^8*T2^2 + 301*T2^3 - 
      337*T1*T2^3 - 1652*T1^2*T2^3 + 1548*T1^3*T2^3 - 743*T1^4*T2^3 + 
      841*T1^5*T2^3 + 180*T1^6*T2^3 - 1526*T1^7*T2^3 + 221*T1^8*T2^3 + 
      121*T1^9*T2^3 - 282*T2^4 + 185*T1*T2^4 + 1686*T1^2*T2^4 - 
      743*T1^3*T2^4 - 72*T1^4*T2^4 - 346*T1^5*T2^4 - 348*T1^6*T2^4 + 
      817*T1^7*T2^4 + 824*T1^8*T2^4 - 283*T1^9*T2^4 - 58*T1^10*T2^4 + 
      183*T2^5 + 191*T1*T2^5 - 1988*T1^2*T2^5 + 841*T1^3*T2^5 - 
      346*T1^4*T2^5 + 1082*T1^5*T2^5 - 532*T1^6*T2^5 - 10*T1^7*T2^5 - 
      791*T1^8*T2^5 - 266*T1^9*T2^5 + 245*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 472*T1*T2^6 + 1462*T1^2*T2^6 + 180*T1^3*T2^6 - 
      348*T1^4*T2^6 - 532*T1^5*T2^6 - 240*T1^6*T2^6 + 788*T1^7*T2^6 - 
      168*T1^8*T2^6 + 828*T1^9*T2^6 - 334*T1^10*T2^6 - 40*T1^11*T2^6 + 
      7*T1^12*T2^6 + 147*T1*T2^7 + 101*T1^2*T2^7 - 1526*T1^3*T2^7 + 
      817*T1^4*T2^7 - 10*T1^5*T2^7 + 788*T1^6*T2^7 - 826*T1^7*T2^7 + 
      326*T1^8*T2^7 - 815*T1^9*T2^7 + 196*T1^10*T2^7 + 155*T1^11*T2^7 - 
      33*T1^12*T2^7 - 170*T1^2*T2^8 + 221*T1^3*T2^8 + 824*T1^4*T2^8 - 
      791*T1^5*T2^8 - 168*T1^6*T2^8 + 326*T1^7*T2^8 - 444*T1^8*T2^8 + 
      769*T1^9*T2^8 - 38*T1^10*T2^8 - 247*T1^11*T2^8 + 54*T1^12*T2^8 + 
      121*T1^3*T2^9 - 283*T1^4*T2^9 - 266*T1^5*T2^9 + 828*T1^6*T2^9 - 
      815*T1^7*T2^9 + 769*T1^8*T2^9 - 540*T1^9*T2^9 - 140*T1^10*T2^9 + 
      275*T1^11*T2^9 - 59*T1^12*T2^9 - 58*T1^4*T2^10 + 245*T1^5*T2^10 - 
      334*T1^6*T2^10 + 196*T1^7*T2^10 - 38*T1^8*T2^10 - 140*T1^9*T2^10 + 
      338*T1^10*T2^10 - 259*T1^11*T2^10 + 54*T1^12*T2^10 + 3*T1^5*T2^11 - 
      40*T1^6*T2^11 + 155*T1^7*T2^11 - 247*T1^8*T2^11 + 275*T1^9*T2^11 - 
      259*T1^10*T2^11 + 158*T1^11*T2^11 - 33*T1^12*T2^11 + 7*T1^6*T2^12 - 
      33*T1^7*T2^12 + 54*T1^8*T2^12 - 59*T1^9*T2^12 + 54*T1^10*T2^12 - 
      33*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 176] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (-2 + 12*T1 - 30*T1^2 + 38*T1^3 - 30*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 144*T1^2*T2 - 139*T1^3*T2 + 65*T1^4*T2 + 18*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 30*T2^2 + 144*T1*T2^2 - 234*T1^2*T2^2 + 
     41*T1^3*T2^2 + 234*T1^4*T2^2 - 349*T1^5*T2^2 + 186*T1^6*T2^2 - 
     36*T1^7*T2^2 + 38*T2^3 - 139*T1*T2^3 + 41*T1^2*T2^3 + 559*T1^3*T2^3 - 
     1033*T1^4*T2^3 + 830*T1^5*T2^3 - 191*T1^6*T2^3 - 184*T1^7*T2^3 + 
     113*T1^8*T2^3 - 19*T1^9*T2^3 - 30*T2^4 + 65*T1*T2^4 + 234*T1^2*T2^4 - 
     1033*T1^3*T2^4 + 1278*T1^4*T2^4 - 196*T1^5*T2^4 - 846*T1^6*T2^4 + 
     1019*T1^7*T2^4 - 234*T1^8*T2^4 - 67*T1^9*T2^4 + 30*T1^10*T2^4 + 
     12*T2^5 + 18*T1*T2^5 - 349*T1^2*T2^5 + 830*T1^3*T2^5 - 196*T1^4*T2^5 - 
     1913*T1^5*T2^5 + 2317*T1^6*T2^5 - 1231*T1^7*T2^5 - 655*T1^8*T2^5 + 
     536*T1^9*T2^5 - 72*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     186*T1^2*T2^6 - 191*T1^3*T2^6 - 846*T1^4*T2^6 + 2317*T1^5*T2^6 - 
     528*T1^6*T2^6 - 1553*T1^7*T2^6 + 2808*T1^8*T2^6 - 845*T1^9*T2^6 - 
     138*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     36*T1^2*T2^7 - 184*T1^3*T2^7 + 1019*T1^4*T2^7 - 1231*T1^5*T2^7 - 
     1553*T1^6*T2^7 + 2677*T1^7*T2^7 - 2266*T1^8*T2^7 - 466*T1^9*T2^7 + 
     701*T1^10*T2^7 - 126*T1^11*T2^7 - 24*T1^12*T2^7 + 113*T1^3*T2^8 - 
     234*T1^4*T2^8 - 655*T1^5*T2^8 + 2808*T1^6*T2^8 - 2266*T1^7*T2^8 + 
     684*T1^8*T2^8 + 1397*T1^9*T2^8 - 702*T1^10*T2^8 - 19*T1^11*T2^8 + 
     60*T1^12*T2^8 - 19*T1^3*T2^9 - 67*T1^4*T2^9 + 536*T1^5*T2^9 - 
     845*T1^6*T2^9 - 466*T1^7*T2^9 + 1397*T1^8*T2^9 - 1595*T1^9*T2^9 + 
     311*T1^10*T2^9 + 185*T1^11*T2^9 - 76*T1^12*T2^9 + 30*T1^4*T2^10 - 
     72*T1^5*T2^10 - 138*T1^6*T2^10 + 701*T1^7*T2^10 - 702*T1^8*T2^10 + 
     311*T1^9*T2^10 + 282*T1^10*T2^10 - 252*T1^11*T2^10 + 60*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 126*T1^7*T2^11 - 19*T1^8*T2^11 + 
     185*T1^9*T2^11 - 252*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 60*T1^8*T2^12 - 76*T1^9*T2^12 + 
     60*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 177] -> 
  {-((1 - 5*T + 11*T^2 - 16*T^3 + 17*T^4 - 16*T^5 + 11*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 55*T1^2 + 80*T1^3 - 85*T1^4 + 80*T1^5 - 55*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 175*T1^2*T2 - 180*T1^3*T2 + 
      105*T1^4*T2 - 60*T1^5*T2 - 45*T1^6*T2 + 95*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 55*T2^2 + 175*T1*T2^2 - 137*T1^2*T2^2 - 59*T1^3*T2^2 + 
      310*T1^4*T2^2 - 303*T1^5*T2^2 + 442*T1^6*T2^2 - 301*T1^7*T2^2 + 
      83*T1^8*T2^2 + 65*T1^9*T2^2 - 33*T1^10*T2^2 + 80*T2^3 - 180*T1*T2^3 - 
      59*T1^2*T2^3 + 361*T1^3*T2^3 - 527*T1^4*T2^3 + 189*T1^5*T2^3 - 
      330*T1^6*T2^3 - 98*T1^7*T2^3 + 297*T1^8*T2^3 - 257*T1^9*T2^3 + 
      5*T1^10*T2^3 + 32*T1^11*T2^3 - 85*T2^4 + 105*T1*T2^4 + 310*T1^2*T2^4 - 
      527*T1^3*T2^4 + 477*T1^4*T2^4 + 78*T1^5*T2^4 + 289*T1^6*T2^4 + 
      290*T1^7*T2^4 - 195*T1^8*T2^4 - 15*T1^9*T2^4 + 258*T1^10*T2^4 - 
      75*T1^11*T2^4 - 17*T1^12*T2^4 + 80*T2^5 - 60*T1*T2^5 - 303*T1^2*T2^5 + 
      189*T1^3*T2^5 + 78*T1^4*T2^5 - 559*T1^5*T2^5 - 170*T1^6*T2^5 - 
      373*T1^7*T2^5 - 57*T1^8*T2^5 + 237*T1^9*T2^5 - 280*T1^10*T2^5 - 
      84*T1^11*T2^5 + 85*T1^12*T2^5 - 55*T2^6 - 45*T1*T2^6 + 442*T1^2*T2^6 - 
      330*T1^3*T2^6 + 289*T1^4*T2^6 - 170*T1^5*T2^6 + 996*T1^6*T2^6 - 
      216*T1^7*T2^6 + 380*T1^8*T2^6 - 220*T1^9*T2^6 + 31*T1^10*T2^6 + 
      264*T1^11*T2^6 - 58*T1^12*T2^6 - 55*T1^13*T2^6 + 11*T1^14*T2^6 + 
      25*T2^7 + 95*T1*T2^7 - 301*T1^2*T2^7 - 98*T1^3*T2^7 + 290*T1^4*T2^7 - 
      373*T1^5*T2^7 - 216*T1^6*T2^7 - 648*T1^7*T2^7 + 442*T1^8*T2^7 - 
      198*T1^9*T2^7 + 136*T1^10*T2^7 - 81*T1^11*T2^7 - 195*T1^12*T2^7 + 
      161*T1^13*T2^7 - 5*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 
      83*T1^2*T2^8 + 297*T1^3*T2^8 - 195*T1^4*T2^8 - 57*T1^5*T2^8 + 
      380*T1^6*T2^8 + 442*T1^7*T2^8 - 132*T1^8*T2^8 - 350*T1^9*T2^8 + 
      180*T1^10*T2^8 - 259*T1^11*T2^8 + 305*T1^12*T2^8 - 89*T1^13*T2^8 - 
      95*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      65*T1^2*T2^9 - 257*T1^3*T2^9 - 15*T1^4*T2^9 + 237*T1^5*T2^9 - 
      220*T1^6*T2^9 - 198*T1^7*T2^9 - 350*T1^8*T2^9 + 740*T1^9*T2^9 - 
      180*T1^10*T2^9 + 289*T1^11*T2^9 - 134*T1^12*T2^9 - 112*T1^13*T2^9 + 
      205*T1^14*T2^9 - 35*T1^15*T2^9 - 15*T1^16*T2^9 - 33*T1^2*T2^10 + 
      5*T1^3*T2^10 + 258*T1^4*T2^10 - 280*T1^5*T2^10 + 31*T1^6*T2^10 + 
      136*T1^7*T2^10 + 180*T1^8*T2^10 - 180*T1^9*T2^10 - 436*T1^10*T2^10 + 
      86*T1^11*T2^10 - 227*T1^12*T2^10 + 314*T1^13*T2^10 - 242*T1^14*T2^10 - 
      5*T1^15*T2^10 + 33*T1^16*T2^10 + 32*T1^3*T2^11 - 75*T1^4*T2^11 - 
      84*T1^5*T2^11 + 264*T1^6*T2^11 - 81*T1^7*T2^11 - 259*T1^8*T2^11 + 
      289*T1^9*T2^11 + 86*T1^10*T2^11 + 243*T1^11*T2^11 + 78*T1^12*T2^11 - 
      205*T1^13*T2^11 + 135*T1^14*T2^11 + 70*T1^15*T2^11 - 48*T1^16*T2^11 - 
      17*T1^4*T2^12 + 85*T1^5*T2^12 - 58*T1^6*T2^12 - 195*T1^7*T2^12 + 
      305*T1^8*T2^12 - 134*T1^9*T2^12 - 227*T1^10*T2^12 + 78*T1^11*T2^12 - 
      367*T1^12*T2^12 + 317*T1^13*T2^12 - 110*T1^14*T2^12 - 95*T1^15*T2^12 + 
      51*T1^16*T2^12 - 55*T1^6*T2^13 + 161*T1^7*T2^13 - 89*T1^8*T2^13 - 
      112*T1^9*T2^13 + 314*T1^10*T2^13 - 205*T1^11*T2^13 + 317*T1^12*T2^13 - 
      153*T1^13*T2^13 - 37*T1^14*T2^13 + 130*T1^15*T2^13 - 48*T1^16*T2^13 + 
      11*T1^6*T2^14 - 5*T1^7*T2^14 - 95*T1^8*T2^14 + 205*T1^9*T2^14 - 
      242*T1^10*T2^14 + 135*T1^11*T2^14 - 110*T1^12*T2^14 - 37*T1^13*T2^14 + 
      125*T1^14*T2^14 - 115*T1^15*T2^14 + 33*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 35*T1^9*T2^15 - 5*T1^10*T2^15 + 70*T1^11*T2^15 - 
      95*T1^12*T2^15 + 130*T1^13*T2^15 - 115*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 33*T1^10*T2^16 - 
      48*T1^11*T2^16 + 51*T1^12*T2^16 - 48*T1^13*T2^16 + 33*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 178] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-33 + 149*T1 - 365*T1^2 + 481*T1^3 - 365*T1^4 + 149*T1^5 - 33*T1^6 + 
     149*T2 - 558*T1*T2 + 1134*T1^2*T2 - 918*T1^3*T2 + 576*T1^5*T2 - 
     360*T1^6*T2 + 113*T1^7*T2 - 365*T2^2 + 1134*T1*T2^2 - 1959*T1^2*T2^2 + 
     631*T1^3*T2^2 + 1167*T1^4*T2^2 - 1129*T1^5*T2^2 - 199*T1^6*T2^2 + 
     342*T1^7*T2^2 - 189*T1^8*T2^2 + 481*T2^3 - 918*T1*T2^3 + 631*T1^2*T2^3 + 
     2946*T1^3*T2^3 - 3961*T1^4*T2^3 + 743*T1^5*T2^3 + 2202*T1^6*T2^3 - 
     1019*T1^7*T2^3 + 252*T1^8*T2^3 + 133*T1^9*T2^3 - 365*T2^4 + 
     1167*T1^2*T2^4 - 3961*T1^3*T2^4 - 472*T1^4*T2^4 + 7196*T1^5*T2^4 - 
     7392*T1^6*T2^4 + 1375*T1^7*T2^4 + 341*T1^8*T2^4 - 540*T1^9*T2^4 - 
     13*T1^10*T2^4 + 149*T2^5 + 576*T1*T2^5 - 1129*T1^2*T2^5 + 
     743*T1^3*T2^5 + 7196*T1^4*T2^5 - 10808*T1^5*T2^5 + 4306*T1^6*T2^5 + 
     3852*T1^7*T2^5 - 2697*T1^8*T2^5 + 961*T1^9*T2^5 + 198*T1^10*T2^5 - 
     31*T1^11*T2^5 - 33*T2^6 - 360*T1*T2^6 - 199*T1^2*T2^6 + 2202*T1^3*T2^6 - 
     7392*T1^4*T2^6 + 4306*T1^5*T2^6 + 4956*T1^6*T2^6 - 8790*T1^7*T2^6 + 
     3100*T1^8*T2^6 - 78*T1^9*T2^6 - 651*T1^10*T2^6 + 72*T1^11*T2^6 + 
     15*T1^12*T2^6 + 113*T1*T2^7 + 342*T1^2*T2^7 - 1019*T1^3*T2^7 + 
     1375*T1^4*T2^7 + 3852*T1^5*T2^7 - 8790*T1^6*T2^7 + 6324*T1^7*T2^7 + 
     508*T1^8*T2^7 - 2065*T1^9*T2^7 + 1071*T1^10*T2^7 - 36*T1^11*T2^7 - 
     67*T1^12*T2^7 - 189*T1^2*T2^8 + 252*T1^3*T2^8 + 341*T1^4*T2^8 - 
     2697*T1^5*T2^8 + 3100*T1^6*T2^8 + 508*T1^7*T2^8 - 3820*T1^8*T2^8 + 
     2639*T1^9*T2^8 - 485*T1^10*T2^8 - 288*T1^11*T2^8 + 163*T1^12*T2^8 + 
     133*T1^3*T2^9 - 540*T1^4*T2^9 + 961*T1^5*T2^9 - 78*T1^6*T2^9 - 
     2065*T1^7*T2^9 + 2639*T1^8*T2^9 - 822*T1^9*T2^9 - 689*T1^10*T2^9 + 
     630*T1^11*T2^9 - 215*T1^12*T2^9 - 13*T1^4*T2^10 + 198*T1^5*T2^10 - 
     651*T1^6*T2^10 + 1071*T1^7*T2^10 - 485*T1^8*T2^10 - 689*T1^9*T2^10 + 
     1109*T1^10*T2^10 - 594*T1^11*T2^10 + 163*T1^12*T2^10 - 31*T1^5*T2^11 + 
     72*T1^6*T2^11 - 36*T1^7*T2^11 - 288*T1^8*T2^11 + 630*T1^9*T2^11 - 
     594*T1^10*T2^11 + 270*T1^11*T2^11 - 67*T1^12*T2^11 + 15*T1^6*T2^12 - 
     67*T1^7*T2^12 + 163*T1^8*T2^12 - 215*T1^9*T2^12 + 163*T1^10*T2^12 - 
     67*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 179] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 54*T1^2 + 75*T1^3 - 54*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 280*T1^2*T2 - 273*T1^3*T2 + 28*T1^4*T2 + 105*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 54*T2^2 + 280*T1*T2^2 - 307*T1^2*T2^2 - 
      277*T1^3*T2^2 + 1141*T1^4*T2^2 - 925*T1^5*T2^2 + 305*T1^6*T2^2 + 
      28*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 273*T1*T2^3 - 277*T1^2*T2^3 + 
      1745*T1^3*T2^3 - 2675*T1^4*T2^3 + 868*T1^5*T2^3 + 545*T1^6*T2^3 - 
      619*T1^7*T2^3 + 126*T1^8*T2^3 - 54*T2^4 + 28*T1*T2^4 + 1141*T1^2*T2^4 - 
      2675*T1^3*T2^4 + 2092*T1^4*T2^4 + 1938*T1^5*T2^4 - 2984*T1^6*T2^4 + 
      1475*T1^7*T2^4 - 13*T1^8*T2^4 - 126*T1^9*T2^4 + 18*T1^10*T2^4 + 
      21*T2^5 + 105*T1*T2^5 - 925*T1^2*T2^5 + 868*T1^3*T2^5 + 
      1938*T1^4*T2^5 - 6035*T1^5*T2^5 + 4145*T1^6*T2^5 - 114*T1^7*T2^5 - 
      1461*T1^8*T2^5 + 641*T1^9*T2^5 - 28*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 305*T1^2*T2^6 + 545*T1^3*T2^6 - 2984*T1^4*T2^6 + 
      4145*T1^5*T2^6 + 252*T1^6*T2^6 - 4229*T1^7*T2^6 + 3240*T1^8*T2^6 - 
      613*T1^9*T2^6 - 311*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 28*T1^2*T2^7 - 619*T1^3*T2^7 + 1475*T1^4*T2^7 - 
      114*T1^5*T2^7 - 4229*T1^6*T2^7 + 5951*T1^7*T2^7 - 2166*T1^8*T2^7 - 
      854*T1^9*T2^7 + 947*T1^10*T2^7 - 105*T1^11*T2^7 - 21*T1^12*T2^7 - 
      18*T1^2*T2^8 + 126*T1^3*T2^8 - 13*T1^4*T2^8 - 1461*T1^5*T2^8 + 
      3240*T1^6*T2^8 - 2166*T1^7*T2^8 - 1836*T1^8*T2^8 + 2689*T1^9*T2^8 - 
      1167*T1^10*T2^8 - 28*T1^11*T2^8 + 54*T1^12*T2^8 - 126*T1^4*T2^9 + 
      641*T1^5*T2^9 - 613*T1^6*T2^9 - 854*T1^7*T2^9 + 2689*T1^8*T2^9 - 
      1813*T1^9*T2^9 + 299*T1^10*T2^9 + 273*T1^11*T2^9 - 75*T1^12*T2^9 + 
      18*T1^4*T2^10 - 28*T1^5*T2^10 - 311*T1^6*T2^10 + 947*T1^7*T2^10 - 
      1167*T1^8*T2^10 + 299*T1^9*T2^10 + 301*T1^10*T2^10 - 280*T1^11*T2^10 + 
      54*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 105*T1^7*T2^11 - 
      28*T1^8*T2^11 + 273*T1^9*T2^11 - 280*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 54*T1^8*T2^12 - 
      75*T1^9*T2^12 + 54*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[11, NonAlternating, 180] -> 
  {(3 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 3*T^6)/T^3, 
   -((165 - 380*T1 + 594*T1^2 - 701*T1^3 + 594*T1^4 - 380*T1^5 + 165*T1^6 - 
      380*T2 + 561*T1*T2 - 644*T1^2*T2 + 480*T1^3*T2 - 24*T1^4*T2 - 
      266*T1^5*T2 + 351*T1^6*T2 - 317*T1^7*T2 + 594*T2^2 - 644*T1*T2^2 + 
      803*T1^2*T2^2 - 688*T1^3*T2^2 + 309*T1^4*T2^2 - 292*T1^5*T2^2 + 
      275*T1^6*T2^2 - 182*T1^7*T2^2 + 396*T1^8*T2^2 - 701*T2^3 + 
      480*T1*T2^3 - 688*T1^2*T2^3 + 482*T1^3*T2^3 - 93*T1^4*T2^3 + 
      165*T1^5*T2^3 - 4*T1^6*T2^3 - 171*T1^7*T2^3 - 108*T1^8*T2^3 - 
      350*T1^9*T2^3 + 594*T2^4 - 24*T1*T2^4 + 309*T1^2*T2^4 - 93*T1^3*T2^4 - 
      97*T1^4*T2^4 - 149*T1^5*T2^4 - 61*T1^6*T2^4 + 167*T1^7*T2^4 + 
      131*T1^8*T2^4 + 354*T1^9*T2^4 + 198*T1^10*T2^4 - 380*T2^5 - 
      266*T1*T2^5 - 292*T1^2*T2^5 + 165*T1^3*T2^5 - 149*T1^4*T2^5 + 
      351*T1^5*T2^5 + 27*T1^6*T2^5 - 116*T1^7*T2^5 - 89*T1^8*T2^5 - 
      325*T1^9*T2^5 - 308*T1^10*T2^5 - 65*T1^11*T2^5 + 165*T2^6 + 
      351*T1*T2^6 + 275*T1^2*T2^6 - 4*T1^3*T2^6 - 61*T1^4*T2^6 + 
      27*T1^5*T2^6 - 408*T1^6*T2^6 + 289*T1^7*T2^6 - 43*T1^8*T2^6 + 
      236*T1^9*T2^6 + 327*T1^10*T2^6 + 141*T1^11*T2^6 + 3*T1^12*T2^6 - 
      317*T1*T2^7 - 182*T1^2*T2^7 - 171*T1^3*T2^7 + 167*T1^4*T2^7 - 
      116*T1^5*T2^7 + 289*T1^6*T2^7 - 35*T1^7*T2^7 - 83*T1^8*T2^7 - 
      87*T1^9*T2^7 - 204*T1^10*T2^7 - 224*T1^11*T2^7 - 2*T1^12*T2^7 + 
      396*T1^2*T2^8 - 108*T1^3*T2^8 + 131*T1^4*T2^8 - 89*T1^5*T2^8 - 
      43*T1^6*T2^8 - 83*T1^7*T2^8 - 7*T1^8*T2^8 + 171*T1^9*T2^8 - 
      47*T1^10*T2^8 + 270*T1^11*T2^8 - 350*T1^3*T2^9 + 354*T1^4*T2^9 - 
      325*T1^5*T2^9 + 236*T1^6*T2^9 - 87*T1^7*T2^9 + 171*T1^8*T2^9 - 
      250*T1^9*T2^9 + 192*T1^10*T2^9 - 234*T1^11*T2^9 + T1^12*T2^9 + 
      198*T1^4*T2^10 - 308*T1^5*T2^10 + 327*T1^6*T2^10 - 204*T1^7*T2^10 - 
      47*T1^8*T2^10 + 192*T1^9*T2^10 - 201*T1^10*T2^10 + 154*T1^11*T2^10 - 
      65*T1^5*T2^11 + 141*T1^6*T2^11 - 224*T1^7*T2^11 + 270*T1^8*T2^11 - 
      234*T1^9*T2^11 + 154*T1^10*T2^11 - 69*T1^11*T2^11 - 2*T1^12*T2^11 + 
      3*T1^6*T2^12 - 2*T1^7*T2^12 + T1^9*T2^12 - 2*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 181] -> {(5 - 11*T + 13*T^2 - 11*T^3 + 5*T^4)/T^2, 
   -((540 - 1173*T1 + 1382*T1^2 - 1173*T1^3 + 540*T1^4 - 1173*T2 + 
      1655*T1*T2 - 1061*T1^2*T2 + 259*T1^3*T2 + 775*T1^4*T2 - 898*T1^5*T2 + 
      1382*T2^2 - 1061*T1*T2^2 - 113*T1^2*T2^2 + 685*T1^3*T2^2 - 
      1153*T1^4*T2^2 + 369*T1^5*T2^2 + 732*T1^6*T2^2 - 1173*T2^3 + 
      259*T1*T2^3 + 685*T1^2*T2^3 - 488*T1^3*T2^3 + 304*T1^4*T2^3 + 
      542*T1^5*T2^3 - 841*T1^6*T2^3 - 348*T1^7*T2^3 + 540*T2^4 + 
      775*T1*T2^4 - 1153*T1^2*T2^4 + 304*T1^3*T2^4 + 120*T1^4*T2^4 - 
      532*T1^5*T2^4 + 209*T1^6*T2^4 + 665*T1^7*T2^4 + 40*T1^8*T2^4 - 
      898*T1*T2^5 + 369*T1^2*T2^5 + 542*T1^3*T2^5 - 532*T1^4*T2^5 + 
      260*T1^5*T2^5 + 399*T1^6*T2^5 - 731*T1^7*T2^5 - 73*T1^8*T2^5 + 
      732*T1^2*T2^6 - 841*T1^3*T2^6 + 209*T1^4*T2^6 + 399*T1^5*T2^6 - 
      831*T1^6*T2^6 + 589*T1^7*T2^6 + 82*T1^8*T2^6 - 348*T1^3*T2^7 + 
      665*T1^4*T2^7 - 731*T1^5*T2^7 + 589*T1^6*T2^7 - 215*T1^7*T2^7 - 
      73*T1^8*T2^7 + 40*T1^4*T2^8 - 73*T1^5*T2^8 + 82*T1^6*T2^8 - 
      73*T1^7*T2^8 + 40*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 182] -> 
  {(1 - 5*T + 11*T^2 - 18*T^3 + 23*T^4 - 18*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 44*T1^2 + 72*T1^3 - 92*T1^4 + 72*T1^5 - 44*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 145*T1^2*T2 - 195*T1^3*T2 + 190*T1^4*T2 - 
     15*T1^5*T2 - 50*T1^6*T2 + 65*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     44*T2^2 + 145*T1*T2^2 - 130*T1^2*T2^2 + 73*T1^3*T2^2 + 102*T1^4*T2^2 - 
     542*T1^5*T2^2 + 366*T1^6*T2^2 - 213*T1^7*T2^2 + 90*T1^8*T2^2 + 
     35*T1^9*T2^2 - 22*T1^10*T2^2 + 72*T2^3 - 195*T1*T2^3 + 73*T1^2*T2^3 - 
     7*T1^3*T2^3 - 190*T1^4*T2^3 + 709*T1^5*T2^3 + 20*T1^6*T2^3 - 
     107*T1^7*T2^3 + 139*T1^8*T2^3 - 191*T1^9*T2^3 + 20*T1^10*T2^3 + 
     18*T1^11*T2^3 - 92*T2^4 + 190*T1*T2^4 + 102*T1^2*T2^4 - 190*T1^3*T2^4 + 
     522*T1^4*T2^4 - 1223*T1^5*T2^4 - 26*T1^6*T2^4 - 259*T1^7*T2^4 + 
     206*T1^8*T2^4 - 46*T1^9*T2^4 + 214*T1^10*T2^4 - 90*T1^11*T2^4 + 
     72*T2^5 - 15*T1*T2^5 - 542*T1^2*T2^5 + 709*T1^3*T2^5 - 1223*T1^4*T2^5 + 
     1775*T1^5*T2^5 + 170*T1^6*T2^5 + 617*T1^7*T2^5 - 433*T1^8*T2^5 + 
     94*T1^9*T2^5 - 278*T1^10*T2^5 - 5*T1^11*T2^5 + 90*T1^12*T2^5 - 
     18*T1^13*T2^5 - 44*T2^6 - 50*T1*T2^6 + 366*T1^2*T2^6 + 20*T1^3*T2^6 - 
     26*T1^4*T2^6 + 170*T1^5*T2^6 - 1951*T1^6*T2^6 - 141*T1^7*T2^6 + 
     101*T1^8*T2^6 + 324*T1^9*T2^6 + 72*T1^10*T2^6 + 262*T1^11*T2^6 - 
     202*T1^12*T2^6 - 20*T1^13*T2^6 + 22*T1^14*T2^6 + 20*T2^7 + 65*T1*T2^7 - 
     213*T1^2*T2^7 - 107*T1^3*T2^7 - 259*T1^4*T2^7 + 617*T1^5*T2^7 - 
     141*T1^6*T2^7 + 2528*T1^7*T2^7 - 1410*T1^8*T2^7 + 73*T1^9*T2^7 - 
     416*T1^10*T2^7 - 164*T1^11*T2^7 + 54*T1^12*T2^7 + 183*T1^13*T2^7 - 
     35*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 90*T1^2*T2^8 + 
     139*T1^3*T2^8 + 206*T1^4*T2^8 - 433*T1^5*T2^8 + 101*T1^6*T2^8 - 
     1410*T1^7*T2^8 - 264*T1^8*T2^8 + 1534*T1^9*T2^8 - 287*T1^10*T2^8 + 
     641*T1^11*T2^8 - 226*T1^12*T2^8 - 127*T1^13*T2^8 - 88*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 35*T1^2*T2^9 - 
     191*T1^3*T2^9 - 46*T1^4*T2^9 + 94*T1^5*T2^9 + 324*T1^6*T2^9 + 
     73*T1^7*T2^9 + 1534*T1^8*T2^9 - 2404*T1^9*T2^9 + 287*T1^10*T2^9 - 
     709*T1^11*T2^9 + 189*T1^12*T2^9 + 115*T1^13*T2^9 + 205*T1^14*T2^9 - 
     65*T1^15*T2^9 - 20*T1^16*T2^9 - 22*T1^2*T2^10 + 20*T1^3*T2^10 + 
     214*T1^4*T2^10 - 278*T1^5*T2^10 + 72*T1^6*T2^10 - 416*T1^7*T2^10 - 
     287*T1^8*T2^10 + 287*T1^9*T2^10 + 1765*T1^10*T2^10 - 262*T1^11*T2^10 + 
     170*T1^12*T2^10 - 36*T1^13*T2^10 - 354*T1^14*T2^10 + 50*T1^15*T2^10 + 
     44*T1^16*T2^10 + 18*T1^3*T2^11 - 90*T1^4*T2^11 - 5*T1^5*T2^11 + 
     262*T1^6*T2^11 - 164*T1^7*T2^11 + 641*T1^8*T2^11 - 709*T1^9*T2^11 - 
     262*T1^10*T2^11 - 1567*T1^11*T2^11 + 1153*T1^12*T2^11 - 
     725*T1^13*T2^11 + 532*T1^14*T2^11 + 15*T1^15*T2^11 - 72*T1^16*T2^11 + 
     90*T1^5*T2^12 - 202*T1^6*T2^12 + 54*T1^7*T2^12 - 226*T1^8*T2^12 + 
     189*T1^9*T2^12 + 170*T1^10*T2^12 + 1153*T1^11*T2^12 - 542*T1^12*T2^12 + 
     198*T1^13*T2^12 - 90*T1^14*T2^12 - 190*T1^15*T2^12 + 92*T1^16*T2^12 - 
     18*T1^5*T2^13 - 20*T1^6*T2^13 + 183*T1^7*T2^13 - 127*T1^8*T2^13 + 
     115*T1^9*T2^13 - 36*T1^10*T2^13 - 725*T1^11*T2^13 + 198*T1^12*T2^13 + 
     19*T1^13*T2^13 - 81*T1^14*T2^13 + 195*T1^15*T2^13 - 72*T1^16*T2^13 + 
     22*T1^6*T2^14 - 35*T1^7*T2^14 - 88*T1^8*T2^14 + 205*T1^9*T2^14 - 
     354*T1^10*T2^14 + 532*T1^11*T2^14 - 90*T1^12*T2^14 - 81*T1^13*T2^14 + 
     132*T1^14*T2^14 - 145*T1^15*T2^14 + 44*T1^16*T2^14 - 15*T1^7*T2^15 + 
     55*T1^8*T2^15 - 65*T1^9*T2^15 + 50*T1^10*T2^15 + 15*T1^11*T2^15 - 
     190*T1^12*T2^15 + 195*T1^13*T2^15 - 145*T1^14*T2^15 + 85*T1^15*T2^15 - 
     20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 44*T1^10*T2^16 - 
     72*T1^11*T2^16 + 92*T1^12*T2^16 - 72*T1^13*T2^16 + 44*T1^14*T2^16 - 
     20*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[11, NonAlternating, 183] -> 
  {((1 - T + T^2)*(1 + 2*T - 5*T^2 + 2*T^3 + T^4))/T^3, 
   -((6 + 6*T1 - 36*T1^2 + 54*T1^3 - 36*T1^4 + 6*T1^5 + 6*T1^6 + 6*T2 + 
      11*T1*T2 - 31*T1^2*T2 + 24*T1^3*T2 + 9*T1^4*T2 - 24*T1^5*T2 + 
      11*T1^6*T2 + 5*T1^7*T2 - 36*T2^2 - 31*T1*T2^2 + 190*T1^2*T2^2 - 
      346*T1^3*T2^2 + 358*T1^4*T2^2 - 250*T1^5*T2^2 + 106*T1^6*T2^2 - 
      19*T1^7*T2^2 - 24*T1^8*T2^2 + 54*T2^3 + 24*T1*T2^3 - 346*T1^2*T2^3 + 
      579*T1^3*T2^3 - 371*T1^4*T2^3 - 92*T1^5*T2^3 + 321*T1^6*T2^3 - 
      184*T1^7*T2^3 + 3*T1^8*T2^3 + 27*T1^9*T2^3 - 36*T2^4 + 9*T1*T2^4 + 
      358*T1^2*T2^4 - 371*T1^3*T2^4 - 144*T1^4*T2^4 + 646*T1^5*T2^4 - 
      456*T1^6*T2^4 - 29*T1^7*T2^4 + 196*T1^8*T2^4 + 15*T1^9*T2^4 - 
      12*T1^10*T2^4 + 6*T2^5 - 24*T1*T2^5 - 250*T1^2*T2^5 - 92*T1^3*T2^5 + 
      646*T1^4*T2^5 - 701*T1^5*T2^5 - 17*T1^6*T2^5 + 442*T1^7*T2^5 - 
      245*T1^8*T2^5 - 148*T1^9*T2^5 - 11*T1^10*T2^5 + T1^11*T2^5 + 6*T2^6 + 
      11*T1*T2^6 + 106*T1^2*T2^6 + 321*T1^3*T2^6 - 456*T1^4*T2^6 - 
      17*T1^5*T2^6 + 696*T1^6*T2^6 - 571*T1^7*T2^6 + 48*T1^8*T2^6 + 
      219*T1^9*T2^6 + 66*T1^10*T2^6 + T1^11*T2^6 + 5*T1*T2^7 - 19*T1^2*T2^7 - 
      184*T1^3*T2^7 - 29*T1^4*T2^7 + 442*T1^5*T2^7 - 571*T1^6*T2^7 + 
      113*T1^7*T2^7 + 238*T1^8*T2^7 - 182*T1^9*T2^7 - 82*T1^10*T2^7 - 
      6*T1^11*T2^7 - 24*T1^2*T2^8 + 3*T1^3*T2^8 + 196*T1^4*T2^8 - 
      245*T1^5*T2^8 + 48*T1^6*T2^8 + 238*T1^7*T2^8 - 264*T1^8*T2^8 + 
      97*T1^9*T2^8 + 34*T1^10*T2^8 + 9*T1^11*T2^8 + 27*T1^3*T2^9 + 
      15*T1^4*T2^9 - 148*T1^5*T2^9 + 219*T1^6*T2^9 - 182*T1^7*T2^9 + 
      97*T1^8*T2^9 - 39*T1^9*T2^9 + 14*T1^10*T2^9 - 6*T1^11*T2^9 - 
      12*T1^4*T2^10 - 11*T1^5*T2^10 + 66*T1^6*T2^10 - 82*T1^7*T2^10 + 
      34*T1^8*T2^10 + 14*T1^9*T2^10 - 18*T1^10*T2^10 + T1^11*T2^10 + 
      T1^5*T2^11 + T1^6*T2^11 - 6*T1^7*T2^11 + 9*T1^8*T2^11 - 6*T1^9*T2^11 + 
      T1^10*T2^11 + T1^11*T2^11)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[11, NonAlternating, 184] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-33 + 149*T1 - 332*T1^2 + 415*T1^3 - 332*T1^4 + 149*T1^5 - 33*T1^6 + 
     149*T2 - 558*T1*T2 + 985*T1^2*T2 - 733*T1^3*T2 + 77*T1^4*T2 + 
     463*T1^5*T2 - 360*T1^6*T2 + 113*T1^7*T2 - 332*T2^2 + 985*T1*T2^2 - 
     1235*T1^2*T2^2 - 94*T1^3*T2^2 + 1215*T1^4*T2^2 - 1374*T1^5*T2^2 + 
     205*T1^6*T2^2 + 265*T1^7*T2^2 - 172*T1^8*T2^2 + 415*T2^3 - 733*T1*T2^3 - 
     94*T1^2*T2^3 + 2660*T1^3*T2^3 - 2710*T1^4*T2^3 + 1040*T1^5*T2^3 + 
     1490*T1^6*T2^3 - 1114*T1^7*T2^3 + 257*T1^8*T2^3 + 115*T1^9*T2^3 - 
     332*T2^4 + 77*T1*T2^4 + 1215*T1^2*T2^4 - 2710*T1^3*T2^4 - 
     485*T1^4*T2^4 + 3519*T1^5*T2^4 - 4805*T1^6*T2^4 + 1390*T1^7*T2^4 + 
     365*T1^8*T2^4 - 463*T1^9*T2^4 - 12*T1^10*T2^4 + 149*T2^5 + 463*T1*T2^5 - 
     1374*T1^2*T2^5 + 1040*T1^3*T2^5 + 3519*T1^4*T2^5 - 4790*T1^5*T2^5 + 
     3040*T1^6*T2^5 + 1799*T1^7*T2^5 - 2010*T1^8*T2^5 + 686*T1^9*T2^5 + 
     193*T1^10*T2^5 - 31*T1^11*T2^5 - 33*T2^6 - 360*T1*T2^6 + 205*T1^2*T2^6 + 
     1490*T1^3*T2^6 - 4805*T1^4*T2^6 + 3040*T1^5*T2^6 + 732*T1^6*T2^6 - 
     4144*T1^7*T2^6 + 1975*T1^8*T2^6 + 170*T1^9*T2^6 - 631*T1^10*T2^6 + 
     72*T1^11*T2^6 + 15*T1^12*T2^6 + 113*T1*T2^7 + 265*T1^2*T2^7 - 
     1114*T1^3*T2^7 + 1390*T1^4*T2^7 + 1799*T1^5*T2^7 - 4144*T1^6*T2^7 + 
     3686*T1^7*T2^7 + 79*T1^8*T2^7 - 1660*T1^9*T2^7 + 946*T1^10*T2^7 - 
     5*T1^11*T2^7 - 67*T1^12*T2^7 - 172*T1^2*T2^8 + 257*T1^3*T2^8 + 
     365*T1^4*T2^8 - 2010*T1^5*T2^8 + 1975*T1^6*T2^8 + 79*T1^7*T2^8 - 
     2345*T1^8*T2^8 + 2090*T1^9*T2^8 - 485*T1^10*T2^8 - 283*T1^11*T2^8 + 
     148*T1^12*T2^8 + 115*T1^3*T2^9 - 463*T1^4*T2^9 + 686*T1^5*T2^9 + 
     170*T1^6*T2^9 - 1660*T1^7*T2^9 + 2090*T1^8*T2^9 - 1000*T1^9*T2^9 - 
     334*T1^10*T2^9 + 527*T1^11*T2^9 - 185*T1^12*T2^9 - 12*T1^4*T2^10 + 
     193*T1^5*T2^10 - 631*T1^6*T2^10 + 946*T1^7*T2^10 - 485*T1^8*T2^10 - 
     334*T1^9*T2^10 + 809*T1^10*T2^10 - 527*T1^11*T2^10 + 148*T1^12*T2^10 - 
     31*T1^5*T2^11 + 72*T1^6*T2^11 - 5*T1^7*T2^11 - 283*T1^8*T2^11 + 
     527*T1^9*T2^11 - 527*T1^10*T2^11 + 270*T1^11*T2^11 - 67*T1^12*T2^11 + 
     15*T1^6*T2^12 - 67*T1^7*T2^12 + 148*T1^8*T2^12 - 185*T1^9*T2^12 + 
     148*T1^10*T2^12 - 67*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[11, NonAlternating, 185] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-41 + 225*T1 - 490*T1^2 + 633*T1^3 - 490*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1693*T1^2*T2 - 1311*T1^3*T2 - 101*T1^4*T2 + 
      923*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 490*T2^2 + 1693*T1*T2^2 - 
      699*T1^2*T2^2 - 2648*T1^3*T2^2 + 5885*T1^4*T2^2 - 4568*T1^5*T2^2 + 
      1413*T1^6*T2^2 + 637*T1^7*T2^2 - 298*T1^8*T2^2 + 633*T2^3 - 
      1311*T1*T2^3 - 2648*T1^2*T2^3 + 7324*T1^3*T2^3 - 7708*T1^4*T2^3 + 
      302*T1^5*T2^3 + 4222*T1^6*T2^3 - 3680*T1^7*T2^3 + 207*T1^8*T2^3 + 
      261*T1^9*T2^3 - 490*T2^4 - 101*T1*T2^4 + 5885*T1^2*T2^4 - 
      7708*T1^3*T2^4 + 2411*T1^4*T2^4 + 7825*T1^5*T2^4 - 7005*T1^6*T2^4 + 
      1344*T1^7*T2^4 + 2991*T1^8*T2^4 - 849*T1^9*T2^4 - 106*T1^10*T2^4 + 
      225*T2^5 + 923*T1*T2^5 - 4568*T1^2*T2^5 + 302*T1^3*T2^5 + 
      7825*T1^4*T2^5 - 12406*T1^5*T2^5 + 2224*T1^6*T2^5 + 5281*T1^7*T2^5 - 
      5624*T1^8*T2^5 + 16*T1^9*T2^5 + 549*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 1413*T1^2*T2^6 + 4222*T1^3*T2^6 - 
      7005*T1^4*T2^6 + 2224*T1^5*T2^6 + 9936*T1^6*T2^6 - 10432*T1^7*T2^6 + 
      3911*T1^8*T2^6 + 2422*T1^9*T2^6 - 1031*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 637*T1^2*T2^7 - 3680*T1^3*T2^7 + 
      1344*T1^4*T2^7 + 5281*T1^5*T2^7 - 10432*T1^6*T2^7 + 4198*T1^7*T2^7 + 
      2737*T1^8*T2^7 - 4582*T1^9*T2^7 + 904*T1^10*T2^7 + 263*T1^11*T2^7 - 
      39*T1^12*T2^7 - 298*T1^2*T2^8 + 207*T1^3*T2^8 + 2991*T1^4*T2^8 - 
      5624*T1^5*T2^8 + 3911*T1^6*T2^8 + 2737*T1^7*T2^8 - 5505*T1^8*T2^8 + 
      3428*T1^9*T2^8 + 97*T1^10*T2^8 - 541*T1^11*T2^8 + 86*T1^12*T2^8 + 
      261*T1^3*T2^9 - 849*T1^4*T2^9 + 16*T1^5*T2^9 + 2422*T1^6*T2^9 - 
      4582*T1^7*T2^9 + 3428*T1^8*T2^9 - 680*T1^9*T2^9 - 1016*T1^10*T2^9 + 
      669*T1^11*T2^9 - 111*T1^12*T2^9 - 106*T1^4*T2^10 + 549*T1^5*T2^10 - 
      1031*T1^6*T2^10 + 904*T1^7*T2^10 + 97*T1^8*T2^10 - 1016*T1^9*T2^10 + 
      1081*T1^10*T2^10 - 507*T1^11*T2^10 + 86*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 263*T1^7*T2^11 - 541*T1^8*T2^11 + 669*T1^9*T2^11 - 
      507*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 86*T1^8*T2^12 - 111*T1^9*T2^12 + 86*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1] -> 
  {(1 - 7*T + 23*T^2 - 46*T^3 + 59*T^4 - 46*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 92*T1^2 + 184*T1^3 - 236*T1^4 + 184*T1^5 - 92*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 497*T1^2*T2 - 805*T1^3*T2 + 
     686*T1^4*T2 - 49*T1^5*T2 - 322*T1^6*T2 + 287*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 92*T2^2 + 497*T1*T2^2 - 1133*T1^2*T2^2 + 1172*T1^3*T2^2 + 
     280*T1^4*T2^2 - 2327*T1^5*T2^2 + 1936*T1^6*T2^2 - 622*T1^7*T2^2 - 
     121*T1^8*T2^2 + 175*T1^9*T2^2 - 46*T1^10*T2^2 + 184*T2^3 - 805*T1*T2^3 + 
     1172*T1^2*T2^3 + 447*T1^3*T2^3 - 4301*T1^4*T2^3 + 6271*T1^5*T2^3 - 
     1112*T1^6*T2^3 - 2300*T1^7*T2^3 + 2103*T1^8*T2^3 - 714*T1^9*T2^3 + 
     46*T1^11*T2^3 - 236*T2^4 + 686*T1*T2^4 + 280*T1^2*T2^4 - 
     4301*T1^3*T2^4 + 8446*T1^4*T2^4 - 4761*T1^5*T2^4 - 8590*T1^6*T2^4 + 
     9219*T1^7*T2^4 - 2982*T1^8*T2^4 - 989*T1^9*T2^4 + 1200*T1^10*T2^4 - 
     322*T1^11*T2^4 + 184*T2^5 - 49*T1*T2^5 - 2327*T1^2*T2^5 + 
     6271*T1^3*T2^5 - 4761*T1^4*T2^5 - 8683*T1^5*T2^5 + 23522*T1^6*T2^5 - 
     8977*T1^7*T2^5 - 6645*T1^8*T2^5 + 8162*T1^9*T2^5 - 3182*T1^10*T2^5 - 
     2*T1^11*T2^5 + 322*T1^12*T2^5 - 46*T1^13*T2^5 - 92*T2^6 - 322*T1*T2^6 + 
     1936*T1^2*T2^6 - 1112*T1^3*T2^6 - 8590*T1^4*T2^6 + 23522*T1^5*T2^6 - 
     21783*T1^6*T2^6 - 14157*T1^7*T2^6 + 28725*T1^8*T2^6 - 13968*T1^9*T2^6 + 
     12*T1^10*T2^6 + 3166*T1^11*T2^6 - 1192*T1^12*T2^6 + 46*T1^14*T2^6 + 
     28*T2^7 + 287*T1*T2^7 - 622*T1^2*T2^7 - 2300*T1^3*T2^7 + 
     9219*T1^4*T2^7 - 8977*T1^5*T2^7 - 14157*T1^6*T2^7 + 50020*T1^7*T2^7 - 
     39702*T1^8*T2^7 + 333*T1^9*T2^7 + 13540*T1^10*T2^7 - 7932*T1^11*T2^7 + 
     943*T1^12*T2^7 + 712*T1^13*T2^7 - 175*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 121*T1^2*T2^8 + 2103*T1^3*T2^8 - 2982*T1^4*T2^8 - 
     6645*T1^5*T2^8 + 28725*T1^6*T2^8 - 39702*T1^7*T2^8 + 5076*T1^8*T2^8 + 
     36538*T1^9*T2^8 - 26935*T1^10*T2^8 + 6101*T1^11*T2^8 + 3010*T1^12*T2^8 - 
     2083*T1^13*T2^8 + 121*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 175*T1^2*T2^9 - 714*T1^3*T2^9 - 989*T1^4*T2^9 + 
     8162*T1^5*T2^9 - 13968*T1^6*T2^9 + 333*T1^7*T2^9 + 36538*T1^8*T2^9 - 
     53184*T1^9*T2^9 + 14823*T1^10*T2^9 + 8549*T1^11*T2^9 - 8989*T1^12*T2^9 + 
     2254*T1^13*T2^9 + 620*T1^14*T2^9 - 287*T1^15*T2^9 - 28*T1^16*T2^9 - 
     46*T1^2*T2^10 + 1200*T1^4*T2^10 - 3182*T1^5*T2^10 + 12*T1^6*T2^10 + 
     13540*T1^7*T2^10 - 26935*T1^8*T2^10 + 14823*T1^9*T2^10 + 
     23573*T1^10*T2^10 - 23950*T1^11*T2^10 + 8614*T1^12*T2^10 + 
     1096*T1^13*T2^10 - 1928*T1^14*T2^10 + 322*T1^15*T2^10 + 92*T1^16*T2^10 + 
     46*T1^3*T2^11 - 322*T1^4*T2^11 - 2*T1^5*T2^11 + 3166*T1^6*T2^11 - 
     7932*T1^7*T2^11 + 6101*T1^8*T2^11 + 8549*T1^9*T2^11 - 
     23950*T1^10*T2^11 + 8139*T1^11*T2^11 + 4991*T1^12*T2^11 - 
     6287*T1^13*T2^11 + 2323*T1^14*T2^11 + 49*T1^15*T2^11 - 184*T1^16*T2^11 + 
     322*T1^5*T2^12 - 1192*T1^6*T2^12 + 943*T1^7*T2^12 + 3010*T1^8*T2^12 - 
     8989*T1^9*T2^12 + 8614*T1^10*T2^12 + 4991*T1^11*T2^12 - 
     8418*T1^12*T2^12 + 4255*T1^13*T2^12 - 272*T1^14*T2^12 - 
     686*T1^15*T2^12 + 236*T1^16*T2^12 - 46*T1^5*T2^13 + 712*T1^7*T2^13 - 
     2083*T1^8*T2^13 + 2254*T1^9*T2^13 + 1096*T1^10*T2^13 - 
     6287*T1^11*T2^13 + 4255*T1^12*T2^13 - 427*T1^13*T2^13 - 
     1174*T1^14*T2^13 + 805*T1^15*T2^13 - 184*T1^16*T2^13 + 46*T1^6*T2^14 - 
     175*T1^7*T2^14 + 121*T1^8*T2^14 + 620*T1^9*T2^14 - 1928*T1^10*T2^14 + 
     2323*T1^11*T2^14 - 272*T1^12*T2^14 - 1174*T1^13*T2^14 + 
     1133*T1^14*T2^14 - 497*T1^15*T2^14 + 92*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 287*T1^9*T2^15 + 322*T1^10*T2^15 + 49*T1^11*T2^15 - 
     686*T1^12*T2^15 + 805*T1^13*T2^15 - 497*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 92*T1^10*T2^16 - 
     184*T1^11*T2^16 + 236*T1^12*T2^16 - 184*T1^13*T2^16 + 92*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 2] -> 
  {-((1 - 7*T + 21*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 105*T1^2 + 180*T1^3 - 205*T1^4 + 180*T1^5 - 
      105*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 
      672*T1^3*T2 + 427*T1^4*T2 - 112*T1^5*T2 - 273*T1^6*T2 + 343*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 896*T1^2*T2^2 + 
      104*T1^3*T2^2 + 1434*T1^4*T2^2 - 2004*T1^5*T2^2 + 2274*T1^6*T2^2 - 
      1114*T1^7*T2^2 - 56*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 
      180*T2^3 - 672*T1*T2^3 + 104*T1^2*T2^3 + 2865*T1^3*T2^3 - 
      5074*T1^4*T2^3 + 3329*T1^5*T2^3 - 1834*T1^6*T2^3 - 1879*T1^7*T2^3 + 
      2745*T1^8*T2^3 - 988*T1^9*T2^3 - 63*T1^10*T2^3 + 72*T1^11*T2^3 - 
      205*T2^4 + 427*T1*T2^4 + 1434*T1^2*T2^4 - 5074*T1^3*T2^4 + 
      3668*T1^4*T2^4 + 3428*T1^5*T2^4 - 5486*T1^6*T2^4 + 8752*T1^7*T2^4 - 
      4388*T1^8*T2^4 - 898*T1^9*T2^4 + 1350*T1^10*T2^4 - 217*T1^11*T2^4 - 
      41*T1^12*T2^4 + 180*T2^5 - 112*T1*T2^5 - 2004*T1^2*T2^5 + 
      3329*T1^3*T2^5 + 3428*T1^4*T2^5 - 11849*T1^5*T2^5 + 7982*T1^6*T2^5 - 
      6193*T1^7*T2^5 - 3425*T1^8*T2^5 + 6737*T1^9*T2^5 - 2224*T1^10*T2^5 - 
      513*T1^11*T2^5 + 287*T1^12*T2^5 - 105*T2^6 - 273*T1*T2^6 + 
      2274*T1^2*T2^6 - 1834*T1^3*T2^6 - 5486*T1^4*T2^6 + 7982*T1^5*T2^6 + 
      3410*T1^6*T2^6 - 6010*T1^7*T2^6 + 11138*T1^8*T2^6 - 6172*T1^9*T2^6 - 
      2168*T1^10*T2^6 + 2744*T1^11*T2^6 - 414*T1^12*T2^6 - 147*T1^13*T2^6 + 
      21*T1^14*T2^6 + 35*T2^7 + 343*T1*T2^7 - 1114*T1^2*T2^7 - 
      1879*T1^3*T2^7 + 8752*T1^4*T2^7 - 6193*T1^5*T2^7 - 6010*T1^6*T2^7 + 
      3248*T1^7*T2^7 - 1316*T1^8*T2^7 - 4576*T1^9*T2^7 + 8024*T1^10*T2^7 - 
      2617*T1^11*T2^7 - 1150*T1^12*T2^7 + 734*T1^13*T2^7 - 49*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 56*T1^2*T2^8 + 2745*T1^3*T2^8 - 
      4388*T1^4*T2^8 - 3425*T1^5*T2^8 + 11138*T1^6*T2^8 - 1316*T1^7*T2^8 - 
      4200*T1^8*T2^8 + 5192*T1^9*T2^8 - 3886*T1^10*T2^8 - 3323*T1^11*T2^8 + 
      4256*T1^12*T2^8 - 1125*T1^13*T2^8 - 182*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 245*T1^2*T2^9 - 988*T1^3*T2^9 - 
      898*T1^4*T2^9 + 6737*T1^5*T2^9 - 6172*T1^6*T2^9 - 4576*T1^7*T2^9 + 
      5192*T1^8*T2^9 + 628*T1^9*T2^9 - 3142*T1^10*T2^9 + 8045*T1^11*T2^9 - 
      4632*T1^12*T2^9 - 169*T1^13*T2^9 + 860*T1^14*T2^9 - 147*T1^15*T2^9 - 
      21*T1^16*T2^9 - 63*T1^2*T2^10 - 63*T1^3*T2^10 + 1350*T1^4*T2^10 - 
      2224*T1^5*T2^10 - 2168*T1^6*T2^10 + 8024*T1^7*T2^10 - 3886*T1^8*T2^10 - 
      3142*T1^9*T2^10 + 3842*T1^10*T2^10 - 6130*T1^11*T2^10 + 
      1150*T1^12*T2^10 + 2354*T1^13*T2^10 - 1338*T1^14*T2^10 + 
      63*T1^15*T2^10 + 63*T1^16*T2^10 + 72*T1^3*T2^11 - 217*T1^4*T2^11 - 
      513*T1^5*T2^11 + 2744*T1^6*T2^11 - 2617*T1^7*T2^11 - 3323*T1^8*T2^11 + 
      8045*T1^9*T2^11 - 6130*T1^10*T2^11 + 5101*T1^11*T2^11 + 
      692*T1^12*T2^11 - 2809*T1^13*T2^11 + 978*T1^14*T2^11 + 
      182*T1^15*T2^11 - 108*T1^16*T2^11 - 41*T1^4*T2^12 + 287*T1^5*T2^12 - 
      414*T1^6*T2^12 - 1150*T1^7*T2^12 + 4256*T1^8*T2^12 - 4632*T1^9*T2^12 + 
      1150*T1^10*T2^12 + 692*T1^11*T2^12 - 3800*T1^12*T2^12 + 
      3026*T1^13*T2^12 - 498*T1^14*T2^12 - 357*T1^15*T2^12 + 
      123*T1^16*T2^12 - 147*T1^6*T2^13 + 734*T1^7*T2^13 - 1125*T1^8*T2^13 - 
      169*T1^9*T2^13 + 2354*T1^10*T2^13 - 2809*T1^11*T2^13 + 
      3026*T1^12*T2^13 - 1245*T1^13*T2^13 - 358*T1^14*T2^13 + 
      462*T1^15*T2^13 - 108*T1^16*T2^13 + 21*T1^6*T2^14 - 49*T1^7*T2^14 - 
      182*T1^8*T2^14 + 860*T1^9*T2^14 - 1338*T1^10*T2^14 + 978*T1^11*T2^14 - 
      498*T1^12*T2^14 - 358*T1^13*T2^14 + 658*T1^14*T2^14 - 343*T1^15*T2^14 + 
      63*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 147*T1^9*T2^15 + 
      63*T1^10*T2^15 + 182*T1^11*T2^15 - 357*T1^12*T2^15 + 462*T1^13*T2^15 - 
      343*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 63*T1^10*T2^16 - 108*T1^11*T2^16 + 123*T1^12*T2^16 - 
      108*T1^13*T2^16 + 63*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 3] -> 
  {-(((-2 + 6*T - 4*T^2 + T^3)*(-1 + 4*T - 6*T^2 + 2*T^3))/T^3), 
   -((-25 + 175*T1 - 500*T1^2 + 713*T1^3 - 500*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2667*T1^2*T2 - 2611*T1^3*T2 + 105*T1^4*T2 + 
      1155*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 500*T2^2 + 2667*T1*T2^2 - 
      4357*T1^2*T2^2 - 1087*T1^3*T2^2 + 10059*T1^4*T2^2 - 7967*T1^5*T2^2 + 
      1723*T1^6*T2^2 + 427*T1^7*T2^2 - 180*T1^8*T2^2 + 713*T2^3 - 
      2611*T1*T2^3 - 1087*T1^2*T2^3 + 18204*T1^3*T2^3 - 28350*T1^4*T2^3 + 
      7502*T1^5*T2^3 + 8142*T1^6*T2^3 - 5807*T1^7*T2^3 + 1057*T1^8*T2^3 + 
      29*T1^9*T2^3 - 500*T2^4 + 105*T1*T2^4 + 10059*T1^2*T2^4 - 
      28350*T1^3*T2^4 + 17052*T1^4*T2^4 + 31116*T1^5*T2^4 - 39416*T1^6*T2^4 + 
      14058*T1^7*T2^4 + 515*T1^8*T2^4 - 1183*T1^9*T2^4 + 140*T1^10*T2^4 + 
      175*T2^5 + 1155*T1*T2^5 - 7967*T1^2*T2^5 + 7502*T1^3*T2^5 + 
      31116*T1^4*T2^5 - 79494*T1^5*T2^5 + 53186*T1^6*T2^5 + 1516*T1^7*T2^5 - 
      15238*T1^8*T2^5 + 5393*T1^9*T2^5 - 245*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 1723*T1^2*T2^6 + 8142*T1^3*T2^6 - 
      39416*T1^4*T2^6 + 53186*T1^5*T2^6 + 1560*T1^6*T2^6 - 54958*T1^7*T2^6 + 
      38456*T1^8*T2^6 - 6666*T1^9*T2^6 - 1893*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 427*T1^2*T2^7 - 5807*T1^3*T2^7 + 
      14058*T1^4*T2^7 + 1516*T1^5*T2^7 - 54958*T1^6*T2^7 + 77722*T1^7*T2^7 - 
      28084*T1^8*T2^7 - 8682*T1^9*T2^7 + 7553*T1^10*T2^7 - 973*T1^11*T2^7 - 
      161*T1^12*T2^7 - 180*T1^2*T2^8 + 1057*T1^3*T2^8 + 515*T1^4*T2^8 - 
      15238*T1^5*T2^8 + 38456*T1^6*T2^8 - 28084*T1^7*T2^8 - 18012*T1^8*T2^8 + 
      27170*T1^9*T2^8 - 9029*T1^10*T2^8 - 231*T1^11*T2^8 + 460*T1^12*T2^8 + 
      29*T1^3*T2^9 - 1183*T1^4*T2^9 + 5393*T1^5*T2^9 - 6666*T1^6*T2^9 - 
      8682*T1^7*T2^9 + 27170*T1^8*T2^9 - 16728*T1^9*T2^9 + 673*T1^10*T2^9 + 
      2485*T1^11*T2^9 - 655*T1^12*T2^9 + 140*T1^4*T2^10 - 245*T1^5*T2^10 - 
      1893*T1^6*T2^10 + 7553*T1^7*T2^10 - 9029*T1^8*T2^10 + 673*T1^9*T2^10 + 
      4187*T1^10*T2^10 - 2485*T1^11*T2^10 + 460*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 973*T1^7*T2^11 - 231*T1^8*T2^11 + 
      2485*T1^9*T2^11 - 2485*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 460*T1^8*T2^12 - 
      655*T1^9*T2^12 + 460*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 4] -> 
  {(1 - 7*T + 23*T^2 - 48*T^3 + 63*T^4 - 48*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   ((1 - 7*T1 + 23*T1^2 - 48*T1^3 + 63*T1^4 - 48*T1^5 + 23*T1^6 - 7*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 21*T1*T2 + 50*T1^2*T2^2 - 69*T1^3*T2^3 + 
      50*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 7*T2 + 23*T2^2 - 
      48*T2^3 + 63*T2^4 - 48*T2^5 + 23*T2^6 - 7*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 5] -> 
  {(3 - 19*T + 47*T^2 - 61*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 701*T1 - 1727*T1^2 + 2235*T1^3 - 1727*T1^4 + 701*T1^5 - 111*T1^6 + 
     701*T2 - 3903*T1*T2 + 7586*T1^2*T2 - 5906*T1^3*T2 + 250*T1^4*T2 + 
     3824*T1^5*T2 - 2649*T1^6*T2 + 530*T1^7*T2 - 1727*T2^2 + 7586*T1*T2^2 - 
     6731*T1^2*T2^2 - 11601*T1^3*T2^2 + 26815*T1^4*T2^2 - 23445*T1^5*T2^2 + 
     5677*T1^6*T2^2 + 2228*T1^7*T2^2 - 881*T1^8*T2^2 + 2235*T2^3 - 
     5906*T1*T2^3 - 11601*T1^2*T2^3 + 48814*T1^3*T2^3 - 48867*T1^4*T2^3 + 
     11343*T1^5*T2^3 + 25012*T1^6*T2^3 - 17758*T1^7*T2^3 + 1846*T1^8*T2^3 + 
     588*T1^9*T2^3 - 1727*T2^4 + 250*T1*T2^4 + 26815*T1^2*T2^4 - 
     48867*T1^3*T2^4 - 1433*T1^4*T2^4 + 64521*T1^5*T2^4 - 73973*T1^6*T2^4 + 
     18721*T1^7*T2^4 + 9281*T1^8*T2^4 - 3512*T1^9*T2^4 - 35*T1^10*T2^4 + 
     701*T2^5 + 3824*T1*T2^5 - 23445*T1^2*T2^5 + 11343*T1^3*T2^5 + 
     64521*T1^4*T2^5 - 95127*T1^5*T2^5 + 43965*T1^6*T2^5 + 33360*T1^7*T2^5 - 
     34111*T1^8*T2^5 + 5460*T1^9*T2^5 + 1202*T1^10*T2^5 - 154*T1^11*T2^5 - 
     111*T2^6 - 2649*T1*T2^6 + 5677*T1^2*T2^6 + 25012*T1^3*T2^6 - 
     73973*T1^4*T2^6 + 43965*T1^5*T2^6 + 37116*T1^6*T2^6 - 79081*T1^7*T2^6 + 
     34873*T1^8*T2^6 + 5644*T1^9*T2^6 - 5967*T1^10*T2^6 + 657*T1^11*T2^6 + 
     51*T1^12*T2^6 + 530*T1*T2^7 + 2228*T1^2*T2^7 - 17758*T1^3*T2^7 + 
     18721*T1^4*T2^7 + 33360*T1^5*T2^7 - 79081*T1^6*T2^7 + 60011*T1^7*T2^7 + 
     2199*T1^8*T2^7 - 26733*T1^9*T2^7 + 11147*T1^10*T2^7 - 394*T1^11*T2^7 - 
     325*T1^12*T2^7 - 881*T1^2*T2^8 + 1846*T1^3*T2^8 + 9281*T1^4*T2^8 - 
     34111*T1^5*T2^8 + 34873*T1^6*T2^8 + 2199*T1^7*T2^8 - 37667*T1^8*T2^8 + 
     33477*T1^9*T2^8 - 8253*T1^10*T2^8 - 1916*T1^11*T2^8 + 811*T1^12*T2^8 + 
     588*T1^3*T2^9 - 3512*T1^4*T2^9 + 5460*T1^5*T2^9 + 5644*T1^6*T2^9 - 
     26733*T1^7*T2^9 + 33477*T1^8*T2^9 - 18158*T1^9*T2^9 - 697*T1^10*T2^9 + 
     4240*T1^11*T2^9 - 1059*T1^12*T2^9 - 35*T1^4*T2^10 + 1202*T1^5*T2^10 - 
     5967*T1^6*T2^10 + 11147*T1^7*T2^10 - 8253*T1^8*T2^10 - 697*T1^9*T2^10 + 
     6441*T1^10*T2^10 - 4156*T1^11*T2^10 + 811*T1^12*T2^10 - 154*T1^5*T2^11 + 
     657*T1^6*T2^11 - 394*T1^7*T2^11 - 1916*T1^8*T2^11 + 4240*T1^9*T2^11 - 
     4156*T1^10*T2^11 + 1911*T1^11*T2^11 - 325*T1^12*T2^11 + 51*T1^6*T2^12 - 
     325*T1^7*T2^12 + 811*T1^8*T2^12 - 1059*T1^9*T2^12 + 811*T1^10*T2^12 - 
     325*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 6] -> 
  {-((1 - 7*T + 23*T^2 - 44*T^3 + 53*T^4 - 44*T^5 + 23*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 115*T1^2 + 220*T1^3 - 265*T1^4 + 220*T1^5 - 
      115*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 
      896*T1^3*T2 + 623*T1^4*T2 - 56*T1^5*T2 - 427*T1^6*T2 + 399*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1342*T1^2*T2^2 + 
      1035*T1^3*T2^2 + 945*T1^4*T2^2 - 2302*T1^5*T2^2 + 2325*T1^6*T2^2 - 
      667*T1^7*T2^2 - 330*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 
      220*T2^3 - 896*T1*T2^3 + 1035*T1^2*T2^3 + 1835*T1^3*T2^3 - 
      6187*T1^4*T2^3 + 5254*T1^5*T2^3 - 1519*T1^6*T2^3 - 3320*T1^7*T2^3 + 
      2945*T1^8*T2^3 - 713*T1^9*T2^3 - 133*T1^10*T2^3 + 88*T1^11*T2^3 - 
      265*T2^4 + 623*T1*T2^4 + 945*T1^2*T2^4 - 6187*T1^3*T2^4 + 
      7993*T1^4*T2^4 + 2207*T1^5*T2^4 - 10109*T1^6*T2^4 + 12843*T1^7*T2^4 - 
      3775*T1^8*T2^4 - 1963*T1^9*T2^4 + 1509*T1^10*T2^4 - 245*T1^11*T2^4 - 
      53*T1^12*T2^4 + 220*T2^5 - 56*T1*T2^5 - 2302*T1^2*T2^5 + 
      5254*T1^3*T2^5 + 2207*T1^4*T2^5 - 20375*T1^5*T2^5 + 20407*T1^6*T2^5 - 
      9786*T1^7*T2^5 - 9451*T1^8*T2^5 + 10272*T1^9*T2^5 - 2569*T1^10*T2^5 - 
      583*T1^11*T2^5 + 371*T1^12*T2^5 - 115*T2^6 - 427*T1*T2^6 + 
      2325*T1^2*T2^6 - 1519*T1^3*T2^6 - 10109*T1^4*T2^6 + 20407*T1^5*T2^6 - 
      894*T1^6*T2^6 - 18620*T1^7*T2^6 + 29698*T1^8*T2^6 - 11807*T1^9*T2^6 - 
      3367*T1^10*T2^6 + 3679*T1^11*T2^6 - 687*T1^12*T2^6 - 161*T1^13*T2^6 + 
      23*T1^14*T2^6 + 35*T2^7 + 399*T1*T2^7 - 667*T1^2*T2^7 - 
      3320*T1^3*T2^7 + 12843*T1^4*T2^7 - 9786*T1^5*T2^7 - 18620*T1^6*T2^7 + 
      28176*T1^7*T2^7 - 18374*T1^8*T2^7 - 9438*T1^9*T2^7 + 16365*T1^10*T2^7 - 
      5506*T1^11*T2^7 - 759*T1^12*T2^7 + 805*T1^13*T2^7 - 63*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 330*T1^2*T2^8 + 2945*T1^3*T2^8 - 
      3775*T1^4*T2^8 - 9451*T1^5*T2^8 + 29698*T1^6*T2^8 - 18374*T1^7*T2^8 - 
      6912*T1^8*T2^8 + 25906*T1^9*T2^8 - 16286*T1^10*T2^8 - 2141*T1^11*T2^8 + 
      5277*T1^12*T2^8 - 1585*T1^13*T2^8 - 88*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 287*T1^2*T2^9 - 713*T1^3*T2^9 - 
      1963*T1^4*T2^9 + 10272*T1^5*T2^9 - 11807*T1^6*T2^9 - 9438*T1^7*T2^9 + 
      25906*T1^8*T2^9 - 20644*T1^9*T2^9 - 256*T1^10*T2^9 + 14344*T1^11*T2^9 - 
      8077*T1^12*T2^9 + 598*T1^13*T2^9 + 759*T1^14*T2^9 - 175*T1^15*T2^9 - 
      21*T1^16*T2^9 - 69*T1^2*T2^10 - 133*T1^3*T2^10 + 1509*T1^4*T2^10 - 
      2569*T1^5*T2^10 - 3367*T1^6*T2^10 + 16365*T1^7*T2^10 - 
      16286*T1^8*T2^10 - 256*T1^9*T2^10 + 14306*T1^10*T2^10 - 
      15849*T1^11*T2^10 + 3375*T1^12*T2^10 + 2629*T1^13*T2^10 - 
      1503*T1^14*T2^10 + 133*T1^15*T2^10 + 69*T1^16*T2^10 + 88*T1^3*T2^11 - 
      245*T1^4*T2^11 - 583*T1^5*T2^11 + 3679*T1^6*T2^11 - 5506*T1^7*T2^11 - 
      2141*T1^8*T2^11 + 14344*T1^9*T2^11 - 15849*T1^10*T2^11 + 
      8783*T1^11*T2^11 + 2559*T1^12*T2^11 - 4144*T1^13*T2^11 + 
      1136*T1^14*T2^11 + 182*T1^15*T2^11 - 132*T1^16*T2^11 - 53*T1^4*T2^12 + 
      371*T1^5*T2^12 - 687*T1^6*T2^12 - 759*T1^7*T2^12 + 5277*T1^8*T2^12 - 
      8077*T1^9*T2^12 + 3375*T1^10*T2^12 + 2559*T1^11*T2^12 - 
      6491*T1^12*T2^12 + 3465*T1^13*T2^12 - 123*T1^14*T2^12 - 
      497*T1^15*T2^12 + 159*T1^16*T2^12 - 161*T1^6*T2^13 + 805*T1^7*T2^13 - 
      1585*T1^8*T2^13 + 598*T1^9*T2^13 + 2629*T1^10*T2^13 - 
      4144*T1^11*T2^13 + 3465*T1^12*T2^13 - 475*T1^13*T2^13 - 
      943*T1^14*T2^13 + 602*T1^15*T2^13 - 132*T1^16*T2^13 + 23*T1^6*T2^14 - 
      63*T1^7*T2^14 - 88*T1^8*T2^14 + 759*T1^9*T2^14 - 1503*T1^10*T2^14 + 
      1136*T1^11*T2^14 - 123*T1^12*T2^14 - 943*T1^13*T2^14 + 
      924*T1^14*T2^14 - 385*T1^15*T2^14 + 69*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 175*T1^9*T2^15 + 133*T1^10*T2^15 + 182*T1^11*T2^15 - 
      497*T1^12*T2^15 + 602*T1^13*T2^15 - 385*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 69*T1^10*T2^16 - 
      132*T1^11*T2^16 + 159*T1^12*T2^16 - 132*T1^13*T2^16 + 69*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 7] -> 
  {-((1 - 8*T + 28*T^2 - 55*T^3 + 67*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 165*T1^3 - 201*T1^4 + 165*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      872*T1^3*T2 + 728*T1^4*T2 - 248*T1^5*T2 - 208*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1358*T1^2*T2^2 + 
      1275*T1^3*T2^2 + 586*T1^4*T2^2 - 2360*T1^5*T2^2 + 2770*T1^6*T2^2 - 
      1357*T1^7*T2^2 + 154*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      165*T2^3 - 872*T1*T2^3 + 1275*T1^2*T2^3 + 1589*T1^3*T2^3 - 
      7142*T1^4*T2^3 + 8531*T1^5*T2^3 - 5102*T1^6*T2^3 - 925*T1^7*T2^3 + 
      2765*T1^8*T2^3 - 1329*T1^9*T2^3 + 224*T1^10*T2^3 - 201*T2^4 + 
      728*T1*T2^4 + 586*T1^2*T2^4 - 7142*T1^3*T2^4 + 12981*T1^4*T2^4 - 
      5881*T1^5*T2^4 - 6925*T1^6*T2^4 + 15843*T1^7*T2^4 - 10691*T1^8*T2^4 + 
      1878*T1^9*T2^4 + 1050*T1^10*T2^4 - 536*T1^11*T2^4 + 67*T1^12*T2^4 + 
      165*T2^5 - 248*T1*T2^5 - 2360*T1^2*T2^5 + 8531*T1^3*T2^5 - 
      5881*T1^4*T2^5 - 16169*T1^5*T2^5 + 33698*T1^6*T2^5 - 30618*T1^7*T2^5 + 
      6451*T1^8*T2^5 + 10302*T1^9*T2^5 - 7508*T1^10*T2^5 + 1264*T1^11*T2^5 + 
      344*T1^12*T2^5 - 110*T1^13*T2^5 - 84*T2^6 - 208*T1*T2^6 + 
      2770*T1^2*T2^6 - 5102*T1^3*T2^6 - 6925*T1^4*T2^6 + 33698*T1^5*T2^6 - 
      36029*T1^6*T2^6 + 4571*T1^7*T2^6 + 32115*T1^8*T2^6 - 35726*T1^9*T2^6 + 
      8835*T1^10*T2^6 + 4922*T1^11*T2^6 - 2854*T1^12*T2^6 + 208*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1357*T1^2*T2^7 - 
      925*T1^3*T2^7 + 15843*T1^4*T2^7 - 30618*T1^5*T2^7 + 4571*T1^6*T2^7 + 
      45899*T1^7*T2^7 - 60027*T1^8*T2^7 + 25078*T1^9*T2^7 + 
      23482*T1^10*T2^7 - 22504*T1^11*T2^7 + 4070*T1^12*T2^7 + 
      1415*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 154*T1^2*T2^8 + 2765*T1^3*T2^8 - 10691*T1^4*T2^8 + 
      6451*T1^5*T2^8 + 32115*T1^6*T2^8 - 60027*T1^7*T2^8 + 19896*T1^8*T2^8 + 
      38835*T1^9*T2^8 - 66155*T1^10*T2^8 + 22609*T1^11*T2^8 + 
      8133*T1^12*T2^8 - 5961*T1^13*T2^8 + 442*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1329*T1^3*T2^9 + 
      1878*T1^4*T2^9 + 10302*T1^5*T2^9 - 35726*T1^6*T2^9 + 25078*T1^7*T2^9 + 
      38835*T1^8*T2^9 - 67091*T1^9*T2^9 + 45585*T1^10*T2^9 + 
      18374*T1^11*T2^9 - 28045*T1^12*T2^9 + 6873*T1^13*T2^9 + 
      1443*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1050*T1^4*T2^10 - 7508*T1^5*T2^10 + 8835*T1^6*T2^10 + 
      23482*T1^7*T2^10 - 66155*T1^8*T2^10 + 45585*T1^9*T2^10 + 
      1989*T1^10*T2^10 - 45942*T1^11*T2^10 + 24595*T1^12*T2^10 + 
      2516*T1^13*T2^10 - 4574*T1^14*T2^10 + 640*T1^15*T2^10 + 
      140*T1^16*T2^10 - 536*T1^4*T2^11 + 1264*T1^5*T2^11 + 4922*T1^6*T2^11 - 
      22504*T1^7*T2^11 + 22609*T1^8*T2^11 + 18374*T1^9*T2^11 - 
      45942*T1^10*T2^11 + 45229*T1^11*T2^11 - 6321*T1^12*T2^11 - 
      11117*T1^13*T2^11 + 4888*T1^14*T2^11 + 56*T1^15*T2^11 - 
      275*T1^16*T2^11 + 67*T1^4*T2^12 + 344*T1^5*T2^12 - 2854*T1^6*T2^12 + 
      4070*T1^7*T2^12 + 8133*T1^8*T2^12 - 28045*T1^9*T2^12 + 
      24595*T1^10*T2^12 - 6321*T1^11*T2^12 - 15539*T1^12*T2^12 + 
      13090*T1^13*T2^12 - 2390*T1^14*T2^12 - 920*T1^15*T2^12 + 
      335*T1^16*T2^12 - 110*T1^5*T2^13 + 208*T1^6*T2^13 + 1415*T1^7*T2^13 - 
      5961*T1^8*T2^13 + 6873*T1^9*T2^13 + 2516*T1^10*T2^13 - 
      11117*T1^11*T2^13 + 13090*T1^12*T2^13 - 4785*T1^13*T2^13 - 
      1189*T1^14*T2^13 + 1304*T1^15*T2^13 - 275*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 442*T1^8*T2^14 + 1443*T1^9*T2^14 - 4574*T1^10*T2^14 + 
      4888*T1^11*T2^14 - 2390*T1^12*T2^14 - 1189*T1^13*T2^14 + 
      1954*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 640*T1^10*T2^15 + 56*T1^11*T2^15 - 
      920*T1^12*T2^15 + 1304*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 275*T1^11*T2^16 + 335*T1^12*T2^16 - 275*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 8] -> 
  {(1 - 7*T + 21*T^2 - 38*T^3 + 47*T^4 - 38*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 152*T1^3 - 188*T1^4 + 152*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 623*T1^3*T2 + 
     518*T1^4*T2 - 77*T1^5*T2 - 210*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 777*T1^2*T2^2 + 401*T1^3*T2^2 + 
     747*T1^4*T2^2 - 2105*T1^5*T2^2 + 1839*T1^6*T2^2 - 901*T1^7*T2^2 + 
     63*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 152*T2^3 - 623*T1*T2^3 + 
     401*T1^2*T2^3 + 1445*T1^3*T2^3 - 3654*T1^4*T2^3 + 4534*T1^5*T2^3 - 
     1235*T1^6*T2^3 - 1137*T1^7*T2^3 + 1775*T1^8*T2^3 - 817*T1^9*T2^3 + 
     28*T1^10*T2^3 + 38*T1^11*T2^3 - 188*T2^4 + 518*T1*T2^4 + 747*T1^2*T2^4 - 
     3654*T1^3*T2^4 + 4789*T1^4*T2^4 - 2606*T1^5*T2^4 - 4563*T1^6*T2^4 + 
     5398*T1^7*T2^4 - 3055*T1^8*T2^4 - 158*T1^9*T2^4 + 971*T1^10*T2^4 - 
     266*T1^11*T2^4 + 152*T2^5 - 77*T1*T2^5 - 2105*T1^2*T2^5 + 
     4534*T1^3*T2^5 - 2606*T1^4*T2^5 - 2711*T1^5*T2^5 + 10167*T1^6*T2^5 - 
     4750*T1^7*T2^5 - 1517*T1^8*T2^5 + 4613*T1^9*T2^5 - 2589*T1^10*T2^5 + 
     16*T1^11*T2^5 + 266*T1^12*T2^5 - 38*T1^13*T2^5 - 84*T2^6 - 210*T1*T2^6 + 
     1839*T1^2*T2^6 - 1235*T1^3*T2^6 - 4563*T1^4*T2^6 + 10167*T1^5*T2^6 - 
     11813*T1^6*T2^6 - 2011*T1^7*T2^6 + 9047*T1^8*T2^6 - 6871*T1^9*T2^6 + 
     407*T1^10*T2^6 + 2503*T1^11*T2^6 - 989*T1^12*T2^6 - 28*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 901*T1^2*T2^7 - 1137*T1^3*T2^7 + 
     5398*T1^4*T2^7 - 4750*T1^5*T2^7 - 2011*T1^6*T2^7 + 16406*T1^7*T2^7 - 
     14346*T1^8*T2^7 + 1723*T1^9*T2^7 + 5925*T1^10*T2^7 - 4961*T1^11*T2^7 + 
     262*T1^12*T2^7 + 821*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 63*T1^2*T2^8 + 1775*T1^3*T2^8 - 3055*T1^4*T2^8 - 
     1517*T1^5*T2^8 + 9047*T1^6*T2^8 - 14346*T1^7*T2^8 + 2868*T1^8*T2^8 + 
     11882*T1^9*T2^8 - 10341*T1^10*T2^8 + 2725*T1^11*T2^8 + 2977*T1^12*T2^8 - 
     1815*T1^13*T2^8 - 63*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 817*T1^3*T2^9 - 158*T1^4*T2^9 + 
     4613*T1^5*T2^9 - 6871*T1^6*T2^9 + 1723*T1^7*T2^9 + 11882*T1^8*T2^9 - 
     18870*T1^9*T2^9 + 5457*T1^10*T2^9 + 3804*T1^11*T2^9 - 5746*T1^12*T2^9 + 
     1241*T1^13*T2^9 + 905*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 28*T1^3*T2^10 + 971*T1^4*T2^10 - 2589*T1^5*T2^10 + 
     407*T1^6*T2^10 + 5925*T1^7*T2^10 - 10341*T1^8*T2^10 + 5457*T1^9*T2^10 + 
     10519*T1^10*T2^10 - 11113*T1^11*T2^10 + 5377*T1^12*T2^10 + 
     1149*T1^13*T2^10 - 1857*T1^14*T2^10 + 210*T1^15*T2^10 + 84*T1^16*T2^10 + 
     38*T1^3*T2^11 - 266*T1^4*T2^11 + 16*T1^5*T2^11 + 2503*T1^6*T2^11 - 
     4961*T1^7*T2^11 + 2725*T1^8*T2^11 + 3804*T1^9*T2^11 - 
     11113*T1^10*T2^11 + 3919*T1^11*T2^11 + 2258*T1^12*T2^11 - 
     4620*T1^13*T2^11 + 2137*T1^14*T2^11 + 77*T1^15*T2^11 - 152*T1^16*T2^11 + 
     266*T1^5*T2^12 - 989*T1^6*T2^12 + 262*T1^7*T2^12 + 2977*T1^8*T2^12 - 
     5746*T1^9*T2^12 + 5377*T1^10*T2^12 + 2258*T1^11*T2^12 - 
     4867*T1^12*T2^12 + 3758*T1^13*T2^12 - 765*T1^14*T2^12 - 
     518*T1^15*T2^12 + 188*T1^16*T2^12 - 38*T1^5*T2^13 - 28*T1^6*T2^13 + 
     821*T1^7*T2^13 - 1815*T1^8*T2^13 + 1241*T1^9*T2^13 + 1149*T1^10*T2^13 - 
     4620*T1^11*T2^13 + 3758*T1^12*T2^13 - 1485*T1^13*T2^13 - 
     397*T1^14*T2^13 + 623*T1^15*T2^13 - 152*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 63*T1^8*T2^14 + 905*T1^9*T2^14 - 1857*T1^10*T2^14 + 
     2137*T1^11*T2^14 - 765*T1^12*T2^14 - 397*T1^13*T2^14 + 777*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 210*T1^10*T2^15 + 77*T1^11*T2^15 - 518*T1^12*T2^15 + 
     623*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 152*T1^11*T2^16 + 
     188*T1^12*T2^16 - 152*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 9] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-31 + 185*T1 - 430*T1^2 + 537*T1^3 - 430*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 966*T1*T2 + 1747*T1^2*T2 - 1309*T1^3*T2 + 203*T1^4*T2 + 
     787*T1^5*T2 - 630*T1^6*T2 + 137*T1^7*T2 - 430*T2^2 + 1747*T1*T2^2 - 
     1314*T1^2*T2^2 - 2578*T1^3*T2^2 + 5262*T1^4*T2^2 - 5154*T1^5*T2^2 + 
     1598*T1^6*T2^2 + 403*T1^7*T2^2 - 206*T1^8*T2^2 + 537*T2^3 - 
     1309*T1*T2^3 - 2578*T1^2*T2^3 + 9710*T1^3*T2^3 - 9220*T1^4*T2^3 + 
     3548*T1^5*T2^3 + 4040*T1^6*T2^3 - 3754*T1^7*T2^3 + 539*T1^8*T2^3 + 
     117*T1^9*T2^3 - 430*T2^4 + 203*T1*T2^4 + 5262*T1^2*T2^4 - 
     9220*T1^3*T2^4 + 70*T1^4*T2^4 + 9700*T1^5*T2^4 - 13426*T1^6*T2^4 + 
     4780*T1^7*T2^4 + 1454*T1^8*T2^4 - 805*T1^9*T2^4 + 18*T1^10*T2^4 + 
     185*T2^5 + 787*T1*T2^5 - 5154*T1^2*T2^5 + 3548*T1^3*T2^5 + 
     9700*T1^4*T2^5 - 14770*T1^5*T2^5 + 8330*T1^6*T2^5 + 4436*T1^7*T2^5 - 
     6756*T1^8*T2^5 + 1622*T1^9*T2^5 + 211*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 630*T1*T2^6 + 1598*T1^2*T2^6 + 4040*T1^3*T2^6 - 
     13426*T1^4*T2^6 + 8330*T1^5*T2^6 + 5316*T1^6*T2^6 - 13046*T1^7*T2^6 + 
     7854*T1^8*T2^6 + 512*T1^9*T2^6 - 1506*T1^10*T2^6 + 234*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 403*T1^2*T2^7 - 3754*T1^3*T2^7 + 
     4780*T1^4*T2^7 + 4436*T1^5*T2^7 - 13046*T1^6*T2^7 + 10054*T1^7*T2^7 - 
     828*T1^8*T2^7 - 5524*T1^9*T2^7 + 3022*T1^10*T2^7 - 173*T1^11*T2^7 - 
     103*T1^12*T2^7 - 206*T1^2*T2^8 + 539*T1^3*T2^8 + 1454*T1^4*T2^8 - 
     6756*T1^5*T2^8 + 7854*T1^6*T2^8 - 828*T1^7*T2^8 - 5642*T1^8*T2^8 + 
     7244*T1^9*T2^8 - 2354*T1^10*T2^8 - 469*T1^11*T2^8 + 242*T1^12*T2^8 + 
     117*T1^3*T2^9 - 805*T1^4*T2^9 + 1622*T1^5*T2^9 + 512*T1^6*T2^9 - 
     5524*T1^7*T2^9 + 7244*T1^8*T2^9 - 5158*T1^9*T2^9 + 446*T1^10*T2^9 + 
     1043*T1^11*T2^9 - 303*T1^12*T2^9 + 18*T1^4*T2^10 + 211*T1^5*T2^10 - 
     1506*T1^6*T2^10 + 3022*T1^7*T2^10 - 2354*T1^8*T2^10 + 446*T1^9*T2^10 + 
     1406*T1^10*T2^10 - 1133*T1^11*T2^10 + 242*T1^12*T2^10 - 55*T1^5*T2^11 + 
     234*T1^6*T2^11 - 173*T1^7*T2^11 - 469*T1^8*T2^11 + 1043*T1^9*T2^11 - 
     1133*T1^10*T2^11 + 570*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 242*T1^8*T2^12 - 303*T1^9*T2^12 + 242*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 10] -> 
  {(3 - 19*T + 49*T^2 - 65*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 701*T1 - 1805*T1^2 + 2391*T1^3 - 1805*T1^4 + 701*T1^5 - 111*T1^6 + 
     701*T2 - 3899*T1*T2 + 8062*T1^2*T2 - 6500*T1^3*T2 - 2*T1^4*T2 + 
     4186*T1^5*T2 - 2645*T1^6*T2 + 530*T1^7*T2 - 1805*T2^2 + 8062*T1*T2^2 - 
     9197*T1^2*T2^2 - 9593*T1^3*T2^2 + 27653*T1^4*T2^2 - 23117*T1^5*T2^2 + 
     4327*T1^6*T2^2 + 2476*T1^7*T2^2 - 923*T1^8*T2^2 + 2391*T2^3 - 
     6500*T1*T2^3 - 9593*T1^2*T2^3 + 52300*T1^3*T2^3 - 56211*T1^4*T2^3 + 
     10143*T1^5*T2^3 + 28772*T1^6*T2^3 - 17776*T1^7*T2^3 + 1822*T1^8*T2^3 + 
     636*T1^9*T2^3 - 1805*T2^4 - 2*T1*T2^4 + 27653*T1^2*T2^4 - 
     56211*T1^3*T2^4 - 1074*T1^4*T2^4 + 83372*T1^5*T2^4 - 87646*T1^6*T2^4 + 
     19189*T1^7*T2^4 + 9535*T1^8*T2^4 - 3764*T1^9*T2^4 - 41*T1^10*T2^4 + 
     701*T2^5 + 4186*T1*T2^5 - 23117*T1^2*T2^5 + 10143*T1^3*T2^5 + 
     83372*T1^4*T2^5 - 126989*T1^5*T2^5 + 52447*T1^6*T2^5 + 42751*T1^7*T2^5 - 
     38119*T1^8*T2^5 + 6430*T1^9*T2^5 + 1222*T1^10*T2^5 - 154*T1^11*T2^5 - 
     111*T2^6 - 2645*T1*T2^6 + 4327*T1^2*T2^6 + 28772*T1^3*T2^6 - 
     87646*T1^4*T2^6 + 52447*T1^5*T2^6 + 56424*T1^6*T2^6 - 103047*T1^7*T2^6 + 
     42032*T1^8*T2^6 + 4780*T1^9*T2^6 - 6057*T1^10*T2^6 + 661*T1^11*T2^6 + 
     51*T1^12*T2^6 + 530*T1*T2^7 + 2476*T1^2*T2^7 - 17776*T1^3*T2^7 + 
     19189*T1^4*T2^7 + 42751*T1^5*T2^7 - 103047*T1^6*T2^7 + 76389*T1^7*T2^7 + 
     2130*T1^8*T2^7 - 29073*T1^9*T2^7 + 11771*T1^10*T2^7 - 488*T1^11*T2^7 - 
     325*T1^12*T2^7 - 923*T1^2*T2^8 + 1822*T1^3*T2^8 + 9535*T1^4*T2^8 - 
     38119*T1^5*T2^8 + 42032*T1^6*T2^8 + 2130*T1^7*T2^8 - 44540*T1^8*T2^8 + 
     37281*T1^9*T2^8 - 8583*T1^10*T2^8 - 1940*T1^11*T2^8 + 841*T1^12*T2^8 + 
     636*T1^3*T2^9 - 3764*T1^4*T2^9 + 6430*T1^5*T2^9 + 4780*T1^6*T2^9 - 
     29073*T1^7*T2^9 + 37281*T1^8*T2^9 - 18748*T1^9*T2^9 - 1753*T1^10*T2^9 + 
     4558*T1^11*T2^9 - 1119*T1^12*T2^9 - 41*T1^4*T2^10 + 1222*T1^5*T2^10 - 
     6057*T1^6*T2^10 + 11771*T1^7*T2^10 - 8583*T1^8*T2^10 - 1753*T1^9*T2^10 + 
     7467*T1^10*T2^10 - 4364*T1^11*T2^10 + 841*T1^12*T2^10 - 154*T1^5*T2^11 + 
     661*T1^6*T2^11 - 488*T1^7*T2^11 - 1940*T1^8*T2^11 + 4558*T1^9*T2^11 - 
     4364*T1^10*T2^11 + 1915*T1^11*T2^11 - 325*T1^12*T2^11 + 51*T1^6*T2^12 - 
     325*T1^7*T2^12 + 841*T1^8*T2^12 - 1119*T1^9*T2^12 + 841*T1^10*T2^12 - 
     325*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 11] -> 
  {(1 - 7*T + 21*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 42*T1^2 + 68*T1^3 - 78*T1^4 + 68*T1^5 - 42*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 245*T1^2*T2 - 329*T1^3*T2 + 308*T1^4*T2 - 
     203*T1^5*T2 + 56*T1^6*T2 + 49*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     42*T2^2 + 245*T1*T2^2 - 541*T1^2*T2^2 + 413*T1^3*T2^2 - 5*T1^4*T2^2 - 
     441*T1^5*T2^2 + 751*T1^6*T2^2 - 721*T1^7*T2^2 + 299*T1^8*T2^2 - 
     49*T1^9*T2^2 + 68*T2^3 - 329*T1*T2^3 + 413*T1^2*T2^3 + 677*T1^3*T2^3 - 
     2000*T1^4*T2^3 + 2656*T1^5*T2^3 - 2465*T1^6*T2^3 + 1393*T1^7*T2^3 + 
     131*T1^8*T2^3 - 553*T1^9*T2^3 + 238*T1^10*T2^3 - 34*T1^11*T2^3 - 
     78*T2^4 + 308*T1*T2^4 - 5*T1^2*T2^4 - 2000*T1^3*T2^4 + 3373*T1^4*T2^4 - 
     2448*T1^5*T2^4 + 443*T1^6*T2^4 + 1908*T1^7*T2^4 - 3551*T1^8*T2^4 + 
     2216*T1^9*T2^4 - 61*T1^10*T2^4 - 308*T1^11*T2^4 + 78*T1^12*T2^4 + 
     68*T2^5 - 203*T1*T2^5 - 441*T1^2*T2^5 + 2656*T1^3*T2^5 - 
     2448*T1^4*T2^5 - 1845*T1^5*T2^5 + 5105*T1^6*T2^5 - 6732*T1^7*T2^5 + 
     5701*T1^8*T2^5 - 405*T1^9*T2^5 - 3051*T1^10*T2^5 + 1008*T1^11*T2^5 + 
     168*T1^12*T2^5 - 102*T1^13*T2^5 - 42*T2^6 + 56*T1*T2^6 + 751*T1^2*T2^6 - 
     2465*T1^3*T2^6 + 443*T1^4*T2^6 + 5105*T1^5*T2^6 - 4835*T1^6*T2^6 + 
     2747*T1^7*T2^6 + 1465*T1^8*T2^6 - 7229*T1^9*T2^6 + 5749*T1^10*T2^6 + 
     1777*T1^11*T2^6 - 1629*T1^12*T2^6 + 126*T1^13*T2^6 + 84*T1^14*T2^6 + 
     14*T2^7 + 49*T1*T2^7 - 721*T1^2*T2^7 + 1393*T1^3*T2^7 + 1908*T1^4*T2^7 - 
     6732*T1^5*T2^7 + 2747*T1^6*T2^7 - 1404*T1^7*T2^7 - 580*T1^8*T2^7 + 
     1841*T1^9*T2^7 + 4111*T1^10*T2^7 - 9387*T1^11*T2^7 + 1292*T1^12*T2^7 + 
     1253*T1^13*T2^7 - 343*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     299*T1^2*T2^8 + 131*T1^3*T2^8 - 3551*T1^4*T2^8 + 5701*T1^5*T2^8 + 
     1465*T1^6*T2^8 - 580*T1^7*T2^8 + 1224*T1^8*T2^8 - 768*T1^9*T2^8 - 
     3755*T1^10*T2^8 + 3159*T1^11*T2^8 + 7625*T1^12*T2^8 - 4003*T1^13*T2^8 + 
     173*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 553*T1^3*T2^9 + 2216*T1^4*T2^9 - 405*T1^5*T2^9 - 
     7229*T1^6*T2^9 + 1841*T1^7*T2^9 - 768*T1^8*T2^9 + 56*T1^9*T2^9 + 
     935*T1^10*T2^9 + 3614*T1^11*T2^9 - 11700*T1^12*T2^9 + 2115*T1^13*T2^9 + 
     1421*T1^14*T2^9 - 441*T1^15*T2^9 - 42*T1^16*T2^9 + 238*T1^3*T2^10 - 
     61*T1^4*T2^10 - 3051*T1^5*T2^10 + 5749*T1^6*T2^10 + 4111*T1^7*T2^10 - 
     3755*T1^8*T2^10 + 935*T1^9*T2^10 + 2545*T1^10*T2^10 - 8223*T1^11*T2^10 + 
     11055*T1^12*T2^10 + 1191*T1^13*T2^10 - 2441*T1^14*T2^10 + 
     308*T1^15*T2^10 + 126*T1^16*T2^10 - 34*T1^3*T2^11 - 308*T1^4*T2^11 + 
     1008*T1^5*T2^11 + 1777*T1^6*T2^11 - 9387*T1^7*T2^11 + 3159*T1^8*T2^11 + 
     3614*T1^9*T2^11 - 8223*T1^10*T2^11 + 10705*T1^11*T2^11 - 
     7344*T1^12*T2^11 - 3930*T1^13*T2^11 + 2457*T1^14*T2^11 + 
     63*T1^15*T2^11 - 204*T1^16*T2^11 + 78*T1^4*T2^12 + 168*T1^5*T2^12 - 
     1629*T1^6*T2^12 + 1292*T1^7*T2^12 + 7625*T1^8*T2^12 - 11700*T1^9*T2^12 + 
     11055*T1^10*T2^12 - 7344*T1^11*T2^12 + 701*T1^12*T2^12 + 
     5508*T1^13*T2^12 - 1685*T1^14*T2^12 - 448*T1^15*T2^12 + 
     234*T1^16*T2^12 - 102*T1^5*T2^13 + 126*T1^6*T2^13 + 1253*T1^7*T2^13 - 
     4003*T1^8*T2^13 + 2115*T1^9*T2^13 + 1191*T1^10*T2^13 - 
     3930*T1^11*T2^13 + 5508*T1^12*T2^13 - 4549*T1^13*T2^13 + 
     287*T1^14*T2^13 + 693*T1^15*T2^13 - 204*T1^16*T2^13 + 84*T1^6*T2^14 - 
     343*T1^7*T2^14 + 173*T1^8*T2^14 + 1421*T1^9*T2^14 - 2441*T1^10*T2^14 + 
     2457*T1^11*T2^14 - 1685*T1^12*T2^14 + 287*T1^13*T2^14 + 
     1013*T1^14*T2^14 - 637*T1^15*T2^14 + 126*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 441*T1^9*T2^15 + 308*T1^10*T2^15 + 63*T1^11*T2^15 - 
     448*T1^12*T2^15 + 693*T1^13*T2^15 - 637*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 126*T1^10*T2^16 - 
     204*T1^11*T2^16 + 234*T1^12*T2^16 - 204*T1^13*T2^16 + 126*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 12] -> 
  {(2 - 14*T + 40*T^2 - 55*T^3 + 40*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-15 + 105*T1 - 300*T1^2 + 413*T1^3 - 300*T1^4 + 105*T1^5 - 15*T1^6 + 
     105*T2 - 686*T1*T2 + 1757*T1^2*T2 - 1911*T1^3*T2 + 749*T1^4*T2 + 
     245*T1^5*T2 - 238*T1^6*T2 + 49*T1^7*T2 - 300*T2^2 + 1757*T1*T2^2 - 
     3587*T1^2*T2^2 + 1317*T1^3*T2^2 + 3767*T1^4*T2^2 - 5243*T1^5*T2^2 + 
     2493*T1^6*T2^2 - 483*T1^7*T2^2 + 20*T1^8*T2^2 + 413*T2^3 - 
     1911*T1*T2^3 + 1317*T1^2*T2^3 + 8716*T1^3*T2^3 - 19670*T1^4*T2^3 + 
     15710*T1^5*T2^3 - 2714*T1^6*T2^3 - 2923*T1^7*T2^3 + 1589*T1^8*T2^3 - 
     247*T1^9*T2^3 - 300*T2^4 + 749*T1*T2^4 + 3767*T1^2*T2^4 - 
     19670*T1^3*T2^4 + 28108*T1^4*T2^4 - 4748*T1^5*T2^4 - 22872*T1^6*T2^4 + 
     21250*T1^7*T2^4 - 4993*T1^8*T2^4 - 651*T1^9*T2^4 + 340*T1^10*T2^4 + 
     105*T2^5 + 245*T1*T2^5 - 5243*T1^2*T2^5 + 15710*T1^3*T2^5 - 
     4748*T1^4*T2^5 - 47994*T1^5*T2^5 + 72526*T1^6*T2^5 - 33388*T1^7*T2^5 - 
     8590*T1^8*T2^5 + 8277*T1^9*T2^5 - 1155*T1^10*T2^5 - 175*T1^11*T2^5 - 
     15*T2^6 - 238*T1*T2^6 + 2493*T1^2*T2^6 - 2714*T1^3*T2^6 - 
     22872*T1^4*T2^6 + 72526*T1^5*T2^6 - 50400*T1^6*T2^6 - 29218*T1^7*T2^6 + 
     56568*T1^8*T2^6 - 17474*T1^9*T2^6 - 1123*T1^10*T2^6 + 994*T1^11*T2^6 + 
     33*T1^12*T2^6 + 49*T1*T2^7 - 483*T1^2*T2^7 - 2923*T1^3*T2^7 + 
     21250*T1^4*T2^7 - 33388*T1^5*T2^7 - 29218*T1^6*T2^7 + 91302*T1^7*T2^7 - 
     62028*T1^8*T2^7 - 3050*T1^9*T2^7 + 10597*T1^10*T2^7 - 1883*T1^11*T2^7 - 
     231*T1^12*T2^7 + 20*T1^2*T2^8 + 1589*T1^3*T2^8 - 4993*T1^4*T2^8 - 
     8590*T1^5*T2^8 + 56568*T1^6*T2^8 - 62028*T1^7*T2^8 + 5588*T1^8*T2^8 + 
     32330*T1^9*T2^8 - 13753*T1^10*T2^8 + 189*T1^11*T2^8 + 660*T1^12*T2^8 - 
     247*T1^3*T2^9 - 651*T1^4*T2^9 + 8277*T1^5*T2^9 - 17474*T1^6*T2^9 - 
     3050*T1^7*T2^9 + 32330*T1^8*T2^9 - 28904*T1^9*T2^9 + 4037*T1^10*T2^9 + 
     2849*T1^11*T2^9 - 907*T1^12*T2^9 + 340*T1^4*T2^10 - 1155*T1^5*T2^10 - 
     1123*T1^6*T2^10 + 10597*T1^7*T2^10 - 13753*T1^8*T2^10 + 
     4037*T1^9*T2^10 + 4957*T1^10*T2^10 - 3395*T1^11*T2^10 + 
     660*T1^12*T2^10 - 175*T1^5*T2^11 + 994*T1^6*T2^11 - 1883*T1^7*T2^11 + 
     189*T1^8*T2^11 + 2849*T1^9*T2^11 - 3395*T1^10*T2^11 + 1442*T1^11*T2^11 - 
     231*T1^12*T2^11 + 33*T1^6*T2^12 - 231*T1^7*T2^12 + 660*T1^8*T2^12 - 
     907*T1^9*T2^12 + 660*T1^10*T2^12 - 231*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 13] -> 
  {(1 - 8*T + 28*T^2 - 55*T^3 + 69*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 220*T1^3 - 276*T1^4 + 220*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1088*T1^3*T2 + 
     888*T1^4*T2 - 104*T1^5*T2 - 424*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1233*T1^3*T2^2 + 
     1265*T1^4*T2^2 - 4008*T1^5*T2^2 + 3561*T1^6*T2^2 - 1399*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 220*T2^3 - 
     1088*T1*T2^3 + 1233*T1^2*T2^3 + 3181*T1^3*T2^3 - 9690*T1^4*T2^3 + 
     11163*T1^5*T2^3 - 2918*T1^6*T2^3 - 3803*T1^7*T2^3 + 4357*T1^8*T2^3 - 
     1371*T1^9*T2^3 + 8*T1^10*T2^3 + 55*T1^11*T2^3 - 276*T2^4 + 888*T1*T2^4 + 
     1265*T1^2*T2^4 - 9690*T1^3*T2^4 + 13287*T1^4*T2^4 - 1991*T1^5*T2^4 - 
     19031*T1^6*T2^4 + 21117*T1^7*T2^4 - 9305*T1^8*T2^4 - 1110*T1^9*T2^4 + 
     1953*T1^10*T2^4 - 440*T1^11*T2^4 + 220*T2^5 - 104*T1*T2^5 - 
     4008*T1^2*T2^5 + 11163*T1^3*T2^5 - 1991*T1^4*T2^5 - 24649*T1^5*T2^5 + 
     43365*T1^6*T2^5 - 20047*T1^7*T2^5 - 8941*T1^8*T2^5 + 16330*T1^9*T2^5 - 
     6220*T1^10*T2^5 + 440*T1^12*T2^5 - 55*T1^13*T2^5 - 112*T2^6 - 
     424*T1*T2^6 + 3561*T1^2*T2^6 - 2918*T1^3*T2^6 - 19031*T1^4*T2^6 + 
     43365*T1^5*T2^6 - 32298*T1^6*T2^6 - 22320*T1^7*T2^6 + 47942*T1^8*T2^6 - 
     27803*T1^9*T2^6 + 89*T1^10*T2^6 + 6210*T1^11*T2^6 - 1951*T1^12*T2^6 - 
     8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 1399*T1^2*T2^7 - 
     3803*T1^3*T2^7 + 21117*T1^4*T2^7 - 20047*T1^5*T2^7 - 22320*T1^6*T2^7 + 
     71593*T1^7*T2^7 - 55343*T1^8*T2^7 - 1923*T1^9*T2^7 + 27853*T1^10*T2^7 - 
     16352*T1^11*T2^7 + 1082*T1^12*T2^7 + 1373*T1^13*T2^7 - 256*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 144*T1^2*T2^8 + 4357*T1^3*T2^8 - 
     9305*T1^4*T2^8 - 8941*T1^5*T2^8 + 47942*T1^6*T2^8 - 55343*T1^7*T2^8 + 
     768*T1^8*T2^8 + 55619*T1^9*T2^8 - 44056*T1^10*T2^8 + 7985*T1^11*T2^8 + 
     9535*T1^12*T2^8 - 4369*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1371*T1^3*T2^9 - 
     1110*T1^4*T2^9 + 16330*T1^5*T2^9 - 27803*T1^6*T2^9 - 1923*T1^7*T2^9 + 
     55619*T1^8*T2^9 - 71317*T1^9*T2^9 + 18474*T1^10*T2^9 + 
     20097*T1^11*T2^9 - 21139*T1^12*T2^9 + 3775*T1^13*T2^9 + 
     1401*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 + 
     8*T1^3*T2^10 + 1953*T1^4*T2^10 - 6220*T1^5*T2^10 + 89*T1^6*T2^10 + 
     27853*T1^7*T2^10 - 44056*T1^8*T2^10 + 18474*T1^9*T2^10 + 
     36184*T1^10*T2^10 - 43315*T1^11*T2^10 + 19209*T1^12*T2^10 + 
     2908*T1^13*T2^10 - 3559*T1^14*T2^10 + 424*T1^15*T2^10 + 
     112*T1^16*T2^10 + 55*T1^3*T2^11 - 440*T1^4*T2^11 + 6210*T1^6*T2^11 - 
     16352*T1^7*T2^11 + 7985*T1^8*T2^11 + 20097*T1^9*T2^11 - 
     43315*T1^10*T2^11 + 23693*T1^11*T2^11 + 1969*T1^12*T2^11 - 
     11173*T1^13*T2^11 + 4008*T1^14*T2^11 + 104*T1^15*T2^11 - 
     220*T1^16*T2^11 + 440*T1^5*T2^12 - 1951*T1^6*T2^12 + 1082*T1^7*T2^12 + 
     9535*T1^8*T2^12 - 21139*T1^9*T2^12 + 19209*T1^10*T2^12 + 
     1969*T1^11*T2^12 - 13057*T1^12*T2^12 + 9662*T1^13*T2^12 - 
     1263*T1^14*T2^12 - 888*T1^15*T2^12 + 276*T1^16*T2^12 - 55*T1^5*T2^13 - 
     8*T1^6*T2^13 + 1373*T1^7*T2^13 - 4369*T1^8*T2^13 + 3775*T1^9*T2^13 + 
     2908*T1^10*T2^13 - 11173*T1^11*T2^13 + 9662*T1^12*T2^13 - 
     3193*T1^13*T2^13 - 1231*T1^14*T2^13 + 1088*T1^15*T2^13 - 
     220*T1^16*T2^13 + 56*T1^6*T2^14 - 256*T1^7*T2^14 + 144*T1^8*T2^14 + 
     1401*T1^9*T2^14 - 3559*T1^10*T2^14 + 4008*T1^11*T2^14 - 
     1263*T1^12*T2^14 - 1231*T1^13*T2^14 + 1656*T1^14*T2^14 - 
     704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     416*T1^9*T2^15 + 424*T1^10*T2^15 + 104*T1^11*T2^15 - 888*T1^12*T2^15 + 
     1088*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 220*T1^11*T2^16 + 
     276*T1^12*T2^16 - 220*T1^13*T2^16 + 112*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 14] -> 
  {-((1 - 8*T + 28*T^2 - 55*T^3 + 67*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 165*T1^3 - 201*T1^4 + 165*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      872*T1^3*T2 + 728*T1^4*T2 - 248*T1^5*T2 - 208*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1358*T1^2*T2^2 + 
      1275*T1^3*T2^2 + 587*T1^4*T2^2 - 2362*T1^5*T2^2 + 2771*T1^6*T2^2 - 
      1357*T1^7*T2^2 + 154*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      165*T2^3 - 872*T1*T2^3 + 1275*T1^2*T2^3 + 1587*T1^3*T2^3 - 
      7140*T1^4*T2^3 + 8531*T1^5*T2^3 - 5102*T1^6*T2^3 - 923*T1^7*T2^3 + 
      2763*T1^8*T2^3 - 1329*T1^9*T2^3 + 224*T1^10*T2^3 - 201*T2^4 + 
      728*T1*T2^4 + 587*T1^2*T2^4 - 7140*T1^3*T2^4 + 12979*T1^4*T2^4 - 
      5881*T1^5*T2^4 - 6927*T1^6*T2^4 + 15843*T1^7*T2^4 - 10693*T1^8*T2^4 + 
      1880*T1^9*T2^4 + 1051*T1^10*T2^4 - 536*T1^11*T2^4 + 67*T1^12*T2^4 + 
      165*T2^5 - 248*T1*T2^5 - 2362*T1^2*T2^5 + 8531*T1^3*T2^5 - 
      5881*T1^4*T2^5 - 16169*T1^5*T2^5 + 33700*T1^6*T2^5 - 30616*T1^7*T2^5 + 
      6451*T1^8*T2^5 + 10302*T1^9*T2^5 - 7508*T1^10*T2^5 + 1262*T1^11*T2^5 + 
      344*T1^12*T2^5 - 110*T1^13*T2^5 - 84*T2^6 - 208*T1*T2^6 + 
      2771*T1^2*T2^6 - 5102*T1^3*T2^6 - 6927*T1^4*T2^6 + 33700*T1^5*T2^6 - 
      36029*T1^6*T2^6 + 4569*T1^7*T2^6 + 32115*T1^8*T2^6 - 35724*T1^9*T2^6 + 
      8833*T1^10*T2^6 + 4922*T1^11*T2^6 - 2853*T1^12*T2^6 + 208*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1357*T1^2*T2^7 - 
      923*T1^3*T2^7 + 15843*T1^4*T2^7 - 30616*T1^5*T2^7 + 4569*T1^6*T2^7 + 
      45897*T1^7*T2^7 - 60029*T1^8*T2^7 + 25076*T1^9*T2^7 + 
      23484*T1^10*T2^7 - 22504*T1^11*T2^7 + 4072*T1^12*T2^7 + 
      1415*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 154*T1^2*T2^8 + 2763*T1^3*T2^8 - 10693*T1^4*T2^8 + 
      6451*T1^5*T2^8 + 32115*T1^6*T2^8 - 60029*T1^7*T2^8 + 19908*T1^8*T2^8 + 
      38833*T1^9*T2^8 - 66155*T1^10*T2^8 + 22609*T1^11*T2^8 + 
      8131*T1^12*T2^8 - 5963*T1^13*T2^8 + 442*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1329*T1^3*T2^9 + 
      1880*T1^4*T2^9 + 10302*T1^5*T2^9 - 35724*T1^6*T2^9 + 25076*T1^7*T2^9 + 
      38833*T1^8*T2^9 - 67093*T1^9*T2^9 + 45583*T1^10*T2^9 + 
      18376*T1^11*T2^9 - 28045*T1^12*T2^9 + 6875*T1^13*T2^9 + 
      1443*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1051*T1^4*T2^10 - 7508*T1^5*T2^10 + 8833*T1^6*T2^10 + 
      23484*T1^7*T2^10 - 66155*T1^8*T2^10 + 45583*T1^9*T2^10 + 
      1989*T1^10*T2^10 - 45940*T1^11*T2^10 + 24593*T1^12*T2^10 + 
      2516*T1^13*T2^10 - 4573*T1^14*T2^10 + 640*T1^15*T2^10 + 
      140*T1^16*T2^10 - 536*T1^4*T2^11 + 1262*T1^5*T2^11 + 4922*T1^6*T2^11 - 
      22504*T1^7*T2^11 + 22609*T1^8*T2^11 + 18376*T1^9*T2^11 - 
      45940*T1^10*T2^11 + 45229*T1^11*T2^11 - 6321*T1^12*T2^11 - 
      11117*T1^13*T2^11 + 4886*T1^14*T2^11 + 56*T1^15*T2^11 - 
      275*T1^16*T2^11 + 67*T1^4*T2^12 + 344*T1^5*T2^12 - 2853*T1^6*T2^12 + 
      4072*T1^7*T2^12 + 8131*T1^8*T2^12 - 28045*T1^9*T2^12 + 
      24593*T1^10*T2^12 - 6321*T1^11*T2^12 - 15541*T1^12*T2^12 + 
      13092*T1^13*T2^12 - 2389*T1^14*T2^12 - 920*T1^15*T2^12 + 
      335*T1^16*T2^12 - 110*T1^5*T2^13 + 208*T1^6*T2^13 + 1415*T1^7*T2^13 - 
      5963*T1^8*T2^13 + 6875*T1^9*T2^13 + 2516*T1^10*T2^13 - 
      11117*T1^11*T2^13 + 13092*T1^12*T2^13 - 4787*T1^13*T2^13 - 
      1189*T1^14*T2^13 + 1304*T1^15*T2^13 - 275*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 442*T1^8*T2^14 + 1443*T1^9*T2^14 - 4573*T1^10*T2^14 + 
      4886*T1^11*T2^14 - 2389*T1^12*T2^14 - 1189*T1^13*T2^14 + 
      1954*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 640*T1^10*T2^15 + 56*T1^11*T2^15 - 
      920*T1^12*T2^15 + 1304*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 275*T1^11*T2^16 + 335*T1^12*T2^16 - 275*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 15] -> 
  {(1 - 8*T + 28*T^2 - 55*T^3 + 69*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 220*T1^3 - 276*T1^4 + 220*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1088*T1^3*T2 + 
     888*T1^4*T2 - 104*T1^5*T2 - 424*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1233*T1^3*T2^2 + 
     1266*T1^4*T2^2 - 4010*T1^5*T2^2 + 3562*T1^6*T2^2 - 1399*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 220*T2^3 - 
     1088*T1*T2^3 + 1233*T1^2*T2^3 + 3179*T1^3*T2^3 - 9688*T1^4*T2^3 + 
     11163*T1^5*T2^3 - 2918*T1^6*T2^3 - 3801*T1^7*T2^3 + 4355*T1^8*T2^3 - 
     1371*T1^9*T2^3 + 8*T1^10*T2^3 + 55*T1^11*T2^3 - 276*T2^4 + 888*T1*T2^4 + 
     1266*T1^2*T2^4 - 9688*T1^3*T2^4 + 13285*T1^4*T2^4 - 1991*T1^5*T2^4 - 
     19033*T1^6*T2^4 + 21117*T1^7*T2^4 - 9307*T1^8*T2^4 - 1108*T1^9*T2^4 + 
     1954*T1^10*T2^4 - 440*T1^11*T2^4 + 220*T2^5 - 104*T1*T2^5 - 
     4010*T1^2*T2^5 + 11163*T1^3*T2^5 - 1991*T1^4*T2^5 - 24649*T1^5*T2^5 + 
     43367*T1^6*T2^5 - 20045*T1^7*T2^5 - 8941*T1^8*T2^5 + 16330*T1^9*T2^5 - 
     6220*T1^10*T2^5 - 2*T1^11*T2^5 + 440*T1^12*T2^5 - 55*T1^13*T2^5 - 
     112*T2^6 - 424*T1*T2^6 + 3562*T1^2*T2^6 - 2918*T1^3*T2^6 - 
     19033*T1^4*T2^6 + 43367*T1^5*T2^6 - 32298*T1^6*T2^6 - 22322*T1^7*T2^6 + 
     47942*T1^8*T2^6 - 27801*T1^9*T2^6 + 87*T1^10*T2^6 + 6210*T1^11*T2^6 - 
     1950*T1^12*T2^6 - 8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1399*T1^2*T2^7 - 3801*T1^3*T2^7 + 21117*T1^4*T2^7 - 20045*T1^5*T2^7 - 
     22322*T1^6*T2^7 + 71591*T1^7*T2^7 - 55345*T1^8*T2^7 - 1925*T1^9*T2^7 + 
     27855*T1^10*T2^7 - 16352*T1^11*T2^7 + 1084*T1^12*T2^7 + 
     1373*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 144*T1^2*T2^8 + 4355*T1^3*T2^8 - 9307*T1^4*T2^8 - 
     8941*T1^5*T2^8 + 47942*T1^6*T2^8 - 55345*T1^7*T2^8 + 780*T1^8*T2^8 + 
     55617*T1^9*T2^8 - 44056*T1^10*T2^8 + 7985*T1^11*T2^8 + 9533*T1^12*T2^8 - 
     4371*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 256*T1^2*T2^9 - 1371*T1^3*T2^9 - 1108*T1^4*T2^9 + 
     16330*T1^5*T2^9 - 27801*T1^6*T2^9 - 1925*T1^7*T2^9 + 55617*T1^8*T2^9 - 
     71319*T1^9*T2^9 + 18472*T1^10*T2^9 + 20099*T1^11*T2^9 - 
     21139*T1^12*T2^9 + 3777*T1^13*T2^9 + 1401*T1^14*T2^9 - 416*T1^15*T2^9 - 
     32*T1^16*T2^9 - 56*T1^2*T2^10 + 8*T1^3*T2^10 + 1954*T1^4*T2^10 - 
     6220*T1^5*T2^10 + 87*T1^6*T2^10 + 27855*T1^7*T2^10 - 44056*T1^8*T2^10 + 
     18472*T1^9*T2^10 + 36184*T1^10*T2^10 - 43313*T1^11*T2^10 + 
     19207*T1^12*T2^10 + 2908*T1^13*T2^10 - 3558*T1^14*T2^10 + 
     424*T1^15*T2^10 + 112*T1^16*T2^10 + 55*T1^3*T2^11 - 440*T1^4*T2^11 - 
     2*T1^5*T2^11 + 6210*T1^6*T2^11 - 16352*T1^7*T2^11 + 7985*T1^8*T2^11 + 
     20099*T1^9*T2^11 - 43313*T1^10*T2^11 + 23693*T1^11*T2^11 + 
     1969*T1^12*T2^11 - 11173*T1^13*T2^11 + 4006*T1^14*T2^11 + 
     104*T1^15*T2^11 - 220*T1^16*T2^11 + 440*T1^5*T2^12 - 1950*T1^6*T2^12 + 
     1084*T1^7*T2^12 + 9533*T1^8*T2^12 - 21139*T1^9*T2^12 + 
     19207*T1^10*T2^12 + 1969*T1^11*T2^12 - 13059*T1^12*T2^12 + 
     9664*T1^13*T2^12 - 1262*T1^14*T2^12 - 888*T1^15*T2^12 + 
     276*T1^16*T2^12 - 55*T1^5*T2^13 - 8*T1^6*T2^13 + 1373*T1^7*T2^13 - 
     4371*T1^8*T2^13 + 3777*T1^9*T2^13 + 2908*T1^10*T2^13 - 
     11173*T1^11*T2^13 + 9664*T1^12*T2^13 - 3195*T1^13*T2^13 - 
     1231*T1^14*T2^13 + 1088*T1^15*T2^13 - 220*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 144*T1^8*T2^14 + 1401*T1^9*T2^14 - 3558*T1^10*T2^14 + 
     4006*T1^11*T2^14 - 1262*T1^12*T2^14 - 1231*T1^13*T2^14 + 
     1656*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 424*T1^10*T2^15 + 104*T1^11*T2^15 - 
     888*T1^12*T2^15 + 1088*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     220*T1^11*T2^16 + 276*T1^12*T2^16 - 220*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 16] -> 
  {(1 - 7*T + 22*T^2 - 43*T^3 + 55*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 172*T1^3 - 220*T1^4 + 172*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 742*T1^3*T2 + 
     637*T1^4*T2 - 49*T1^5*T2 - 287*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 950*T1^2*T2^2 + 854*T1^3*T2^2 + 
     518*T1^4*T2^2 - 2412*T1^5*T2^2 + 1970*T1^6*T2^2 - 730*T1^7*T2^2 - 
     26*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 172*T2^3 - 742*T1*T2^3 + 
     854*T1^2*T2^3 + 663*T1^3*T2^3 - 3921*T1^4*T2^3 + 5698*T1^5*T2^3 - 
     1009*T1^6*T2^3 - 1909*T1^7*T2^3 + 1873*T1^8*T2^3 - 752*T1^9*T2^3 + 
     7*T1^10*T2^3 + 43*T1^11*T2^3 - 220*T2^4 + 637*T1*T2^4 + 518*T1^2*T2^4 - 
     3921*T1^3*T2^4 + 7491*T1^4*T2^4 - 5253*T1^5*T2^4 - 6117*T1^6*T2^4 + 
     6693*T1^7*T2^4 - 2301*T1^8*T2^4 - 739*T1^9*T2^4 + 1144*T1^10*T2^4 - 
     301*T1^11*T2^4 + 172*T2^5 - 49*T1*T2^5 - 2412*T1^2*T2^5 + 
     5698*T1^3*T2^5 - 5253*T1^4*T2^5 - 4088*T1^5*T2^5 + 17493*T1^6*T2^5 - 
     6375*T1^7*T2^5 - 4748*T1^8*T2^5 + 6308*T1^9*T2^5 - 2899*T1^10*T2^5 - 
     3*T1^11*T2^5 + 301*T1^12*T2^5 - 43*T1^13*T2^5 - 88*T2^6 - 287*T1*T2^6 + 
     1970*T1^2*T2^6 - 1009*T1^3*T2^6 - 6117*T1^4*T2^6 + 17493*T1^5*T2^6 - 
     19283*T1^6*T2^6 - 9315*T1^7*T2^6 + 20005*T1^8*T2^6 - 10287*T1^9*T2^6 + 
     191*T1^10*T2^6 + 2863*T1^11*T2^6 - 1134*T1^12*T2^6 - 7*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 730*T1^2*T2^7 - 1909*T1^3*T2^7 + 
     6693*T1^4*T2^7 - 6375*T1^5*T2^7 - 9315*T1^6*T2^7 + 39188*T1^7*T2^7 - 
     30050*T1^8*T2^7 + 1256*T1^9*T2^7 + 9669*T1^10*T2^7 - 6408*T1^11*T2^7 + 
     759*T1^12*T2^7 + 744*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 26*T1^2*T2^8 + 1873*T1^3*T2^8 - 2301*T1^4*T2^8 - 
     4748*T1^5*T2^8 + 20005*T1^6*T2^8 - 30050*T1^7*T2^8 + 1800*T1^8*T2^8 + 
     28406*T1^9*T2^8 - 21045*T1^10*T2^8 + 5488*T1^11*T2^8 + 2203*T1^12*T2^8 - 
     1857*T1^13*T2^8 + 28*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 752*T1^3*T2^9 - 739*T1^4*T2^9 + 
     6308*T1^5*T2^9 - 10287*T1^6*T2^9 + 1256*T1^7*T2^9 + 28406*T1^8*T2^9 - 
     40832*T1^9*T2^9 + 11827*T1^10*T2^9 + 5757*T1^11*T2^9 - 6793*T1^12*T2^9 + 
     1929*T1^13*T2^9 + 722*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 7*T1^3*T2^10 + 1144*T1^4*T2^10 - 2899*T1^5*T2^10 + 
     191*T1^6*T2^10 + 9669*T1^7*T2^10 - 21045*T1^8*T2^10 + 11827*T1^9*T2^10 + 
     18243*T1^10*T2^10 - 18111*T1^11*T2^10 + 6499*T1^12*T2^10 + 
     973*T1^13*T2^10 - 1960*T1^14*T2^10 + 287*T1^15*T2^10 + 88*T1^16*T2^10 + 
     43*T1^3*T2^11 - 301*T1^4*T2^11 - 3*T1^5*T2^11 + 2863*T1^6*T2^11 - 
     6408*T1^7*T2^11 + 5488*T1^8*T2^11 + 5757*T1^9*T2^11 - 
     18111*T1^10*T2^11 + 4828*T1^11*T2^11 + 5153*T1^12*T2^11 - 
     5734*T1^13*T2^11 + 2406*T1^14*T2^11 + 49*T1^15*T2^11 - 172*T1^16*T2^11 + 
     301*T1^5*T2^12 - 1134*T1^6*T2^12 + 759*T1^7*T2^12 + 2203*T1^8*T2^12 - 
     6793*T1^9*T2^12 + 6499*T1^10*T2^12 + 5153*T1^11*T2^12 - 
     7589*T1^12*T2^12 + 3941*T1^13*T2^12 - 508*T1^14*T2^12 - 
     637*T1^15*T2^12 + 220*T1^16*T2^12 - 43*T1^5*T2^13 - 7*T1^6*T2^13 + 
     744*T1^7*T2^13 - 1857*T1^8*T2^13 + 1929*T1^9*T2^13 + 973*T1^10*T2^13 - 
     5734*T1^11*T2^13 + 3941*T1^12*T2^13 - 647*T1^13*T2^13 - 
     862*T1^14*T2^13 + 742*T1^15*T2^13 - 172*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 28*T1^8*T2^14 + 722*T1^9*T2^14 - 1960*T1^10*T2^14 + 
     2406*T1^11*T2^14 - 508*T1^12*T2^14 - 862*T1^13*T2^14 + 952*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 287*T1^10*T2^15 + 49*T1^11*T2^15 - 637*T1^12*T2^15 + 
     742*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 172*T1^11*T2^16 + 
     220*T1^12*T2^16 - 172*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 17] -> 
  {-((1 - 7*T + 24*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 120*T1^2 + 245*T1^3 - 305*T1^4 + 245*T1^5 - 
      120*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 644*T1^2*T2 - 
      1043*T1^3*T2 + 763*T1^4*T2 - 7*T1^5*T2 - 532*T1^6*T2 + 427*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 120*T2^2 + 644*T1*T2^2 - 1579*T1^2*T2^2 + 
      1672*T1^3*T2^2 + 579*T1^4*T2^2 - 2583*T1^5*T2^2 + 2355*T1^6*T2^2 - 
      344*T1^7*T2^2 - 475*T1^8*T2^2 + 308*T1^9*T2^2 - 72*T1^10*T2^2 + 
      245*T2^3 - 1043*T1*T2^3 + 1672*T1^2*T2^3 + 737*T1^3*T2^3 - 
      6655*T1^4*T2^3 + 6707*T1^5*T2^3 - 1042*T1^6*T2^3 - 4387*T1^7*T2^3 + 
      2879*T1^8*T2^3 - 512*T1^9*T2^3 - 182*T1^10*T2^3 + 98*T1^11*T2^3 - 
      305*T2^4 + 763*T1*T2^4 + 579*T1^2*T2^4 - 6655*T1^3*T2^4 + 
      11948*T1^4*T2^4 - 54*T1^5*T2^4 - 13666*T1^6*T2^4 + 15080*T1^7*T2^4 - 
      2224*T1^8*T2^4 - 2833*T1^9*T2^4 + 1633*T1^10*T2^4 - 259*T1^11*T2^4 - 
      61*T1^12*T2^4 + 245*T2^5 - 7*T1*T2^5 - 2583*T1^2*T2^5 + 
      6707*T1^3*T2^5 - 54*T1^4*T2^5 - 27296*T1^5*T2^5 + 32734*T1^6*T2^5 - 
      10708*T1^7*T2^5 - 16306*T1^8*T2^5 + 12595*T1^9*T2^5 - 2624*T1^10*T2^5 - 
      672*T1^11*T2^5 + 427*T1^12*T2^5 - 120*T2^6 - 532*T1*T2^6 + 
      2355*T1^2*T2^6 - 1042*T1^3*T2^6 - 13666*T1^4*T2^6 + 32734*T1^5*T2^6 - 
      4413*T1^6*T2^6 - 38061*T1^7*T2^6 + 49611*T1^8*T2^6 - 14978*T1^9*T2^6 - 
      4766*T1^10*T2^6 + 4334*T1^11*T2^6 - 865*T1^12*T2^6 - 168*T1^13*T2^6 + 
      24*T1^14*T2^6 + 35*T2^7 + 427*T1*T2^7 - 344*T1^2*T2^7 - 
      4387*T1^3*T2^7 + 15080*T1^4*T2^7 - 10708*T1^5*T2^7 - 38061*T1^6*T2^7 + 
      63270*T1^7*T2^7 - 33624*T1^8*T2^7 - 18944*T1^9*T2^7 + 
      24194*T1^10*T2^7 - 7509*T1^11*T2^7 - 439*T1^12*T2^7 + 832*T1^13*T2^7 - 
      70*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 475*T1^2*T2^8 + 
      2879*T1^3*T2^8 - 2224*T1^4*T2^8 - 16306*T1^5*T2^8 + 49611*T1^6*T2^8 - 
      33624*T1^7*T2^8 - 21696*T1^8*T2^8 + 53988*T1^9*T2^8 - 
      28047*T1^10*T2^8 - 1214*T1^11*T2^8 + 5540*T1^12*T2^8 - 
      1783*T1^13*T2^8 - 37*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 
      28*T1*T2^9 + 308*T1^2*T2^9 - 512*T1^3*T2^9 - 2833*T1^4*T2^9 + 
      12595*T1^5*T2^9 - 14978*T1^6*T2^9 - 18944*T1^7*T2^9 + 53988*T1^8*T2^9 - 
      42906*T1^9*T2^9 + 173*T1^10*T2^9 + 19924*T1^11*T2^9 - 9994*T1^12*T2^9 + 
      1115*T1^13*T2^9 + 664*T1^14*T2^9 - 189*T1^15*T2^9 - 21*T1^16*T2^9 - 
      72*T1^2*T2^10 - 182*T1^3*T2^10 + 1633*T1^4*T2^10 - 2624*T1^5*T2^10 - 
      4766*T1^6*T2^10 + 24194*T1^7*T2^10 - 28047*T1^8*T2^10 + 
      173*T1^9*T2^10 + 25977*T1^10*T2^10 - 23518*T1^11*T2^10 + 
      4134*T1^12*T2^10 + 2752*T1^13*T2^10 - 1587*T1^14*T2^10 + 
      182*T1^15*T2^10 + 72*T1^16*T2^10 + 98*T1^3*T2^11 - 259*T1^4*T2^11 - 
      672*T1^5*T2^11 + 4334*T1^6*T2^11 - 7509*T1^7*T2^11 - 1214*T1^8*T2^11 + 
      19924*T1^9*T2^11 - 23518*T1^10*T2^11 + 9776*T1^11*T2^11 + 
      5140*T1^12*T2^11 - 4997*T1^13*T2^11 + 1239*T1^14*T2^11 + 
      175*T1^15*T2^11 - 147*T1^16*T2^11 - 61*T1^4*T2^12 + 427*T1^5*T2^12 - 
      865*T1^6*T2^12 - 439*T1^7*T2^12 + 5540*T1^8*T2^12 - 9994*T1^9*T2^12 + 
      4134*T1^10*T2^12 + 5140*T1^11*T2^12 - 8632*T1^12*T2^12 + 
      3383*T1^13*T2^12 + 189*T1^14*T2^12 - 595*T1^15*T2^12 + 
      183*T1^16*T2^12 - 168*T1^6*T2^13 + 832*T1^7*T2^13 - 1783*T1^8*T2^13 + 
      1115*T1^9*T2^13 + 2752*T1^10*T2^13 - 4997*T1^11*T2^13 + 
      3383*T1^12*T2^13 + 359*T1^13*T2^13 - 1352*T1^14*T2^13 + 
      693*T1^15*T2^13 - 147*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 - 
      37*T1^8*T2^14 + 664*T1^9*T2^14 - 1587*T1^10*T2^14 + 1239*T1^11*T2^14 + 
      189*T1^12*T2^14 - 1352*T1^13*T2^14 + 1067*T1^14*T2^14 - 
      406*T1^15*T2^14 + 72*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 
      189*T1^9*T2^15 + 182*T1^10*T2^15 + 175*T1^11*T2^15 - 595*T1^12*T2^15 + 
      693*T1^13*T2^15 - 406*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 
      3*T1^8*T2^16 - 21*T1^9*T2^16 + 72*T1^10*T2^16 - 147*T1^11*T2^16 + 
      183*T1^12*T2^16 - 147*T1^13*T2^16 + 72*T1^14*T2^16 - 21*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 18] -> 
  {-((1 - 7*T + 20*T^2 - 31*T^3 + 33*T^4 - 31*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 100*T1^2 + 155*T1^3 - 165*T1^4 + 155*T1^5 - 
      100*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 504*T1^2*T2 - 
      525*T1^3*T2 + 287*T1^4*T2 - 161*T1^5*T2 - 168*T1^6*T2 + 315*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 100*T2^2 + 504*T1*T2^2 - 689*T1^2*T2^2 - 
      396*T1^3*T2^2 + 1575*T1^4*T2^2 - 1517*T1^5*T2^2 + 2095*T1^6*T2^2 - 
      1356*T1^7*T2^2 + 71*T1^8*T2^2 + 224*T1^9*T2^2 - 60*T1^10*T2^2 + 
      155*T2^3 - 525*T1*T2^3 - 396*T1^2*T2^3 + 3509*T1^3*T2^3 - 
      4312*T1^4*T2^3 + 1959*T1^5*T2^3 - 2258*T1^6*T2^3 - 892*T1^7*T2^3 + 
      2705*T1^8*T2^3 - 1136*T1^9*T2^3 - 14*T1^10*T2^3 + 62*T1^11*T2^3 - 
      165*T2^4 + 287*T1*T2^4 + 1575*T1^2*T2^4 - 4312*T1^3*T2^4 + 
      624*T1^4*T2^4 + 5175*T1^5*T2^4 - 3614*T1^6*T2^4 + 7649*T1^7*T2^4 - 
      5568*T1^8*T2^4 - 158*T1^9*T2^4 + 1177*T1^10*T2^4 - 203*T1^11*T2^4 - 
      33*T1^12*T2^4 + 155*T2^5 - 161*T1*T2^5 - 1517*T1^2*T2^5 + 
      1959*T1^3*T2^5 + 5175*T1^4*T2^5 - 9346*T1^5*T2^5 + 2969*T1^6*T2^5 - 
      5553*T1^7*T2^5 - 486*T1^8*T2^5 + 5496*T1^9*T2^5 - 2136*T1^10*T2^5 - 
      386*T1^11*T2^5 + 231*T1^12*T2^5 - 100*T2^6 - 168*T1*T2^6 + 
      2095*T1^2*T2^6 - 2258*T1^3*T2^6 - 3614*T1^4*T2^6 + 2969*T1^5*T2^6 + 
      6208*T1^6*T2^6 - 1792*T1^7*T2^6 + 4816*T1^8*T2^6 - 4655*T1^9*T2^6 - 
      1482*T1^10*T2^6 + 2142*T1^11*T2^6 - 261*T1^12*T2^6 - 140*T1^13*T2^6 + 
      20*T1^14*T2^6 + 35*T2^7 + 315*T1*T2^7 - 1356*T1^2*T2^7 - 
      892*T1^3*T2^7 + 7649*T1^4*T2^7 - 5553*T1^5*T2^7 - 1792*T1^6*T2^7 - 
      6044*T1^7*T2^7 + 4836*T1^8*T2^7 - 2599*T1^9*T2^7 + 4765*T1^10*T2^7 - 
      1284*T1^11*T2^7 - 1376*T1^12*T2^7 + 704*T1^13*T2^7 - 42*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 + 71*T1^2*T2^8 + 2705*T1^3*T2^8 - 
      5568*T1^4*T2^8 - 486*T1^5*T2^8 + 4816*T1^6*T2^8 + 4836*T1^7*T2^8 - 
      2280*T1^8*T2^8 - 3048*T1^9*T2^8 + 934*T1^10*T2^8 - 4114*T1^11*T2^8 + 
      4128*T1^12*T2^8 - 941*T1^13*T2^8 - 227*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 224*T1^2*T2^9 - 1136*T1^3*T2^9 - 
      158*T1^4*T2^9 + 5496*T1^5*T2^9 - 4655*T1^6*T2^9 - 2599*T1^7*T2^9 - 
      3048*T1^8*T2^9 + 7832*T1^9*T2^9 - 3406*T1^10*T2^9 + 5663*T1^11*T2^9 - 
      3437*T1^12*T2^9 - 642*T1^13*T2^9 + 924*T1^14*T2^9 - 133*T1^15*T2^9 - 
      21*T1^16*T2^9 - 60*T1^2*T2^10 - 14*T1^3*T2^10 + 1177*T1^4*T2^10 - 
      2136*T1^5*T2^10 - 1482*T1^6*T2^10 + 4765*T1^7*T2^10 + 934*T1^8*T2^10 - 
      3406*T1^9*T2^10 - 458*T1^10*T2^10 - 2859*T1^11*T2^10 + 
      650*T1^12*T2^10 + 2264*T1^13*T2^10 - 1179*T1^14*T2^10 + 
      14*T1^15*T2^10 + 60*T1^16*T2^10 + 62*T1^3*T2^11 - 203*T1^4*T2^11 - 
      386*T1^5*T2^11 + 2142*T1^6*T2^11 - 1284*T1^7*T2^11 - 4114*T1^8*T2^11 + 
      5663*T1^9*T2^11 - 2859*T1^10*T2^11 + 4746*T1^11*T2^11 - 
      963*T1^12*T2^11 - 1953*T1^13*T2^11 + 745*T1^14*T2^11 + 
      189*T1^15*T2^11 - 93*T1^16*T2^11 - 33*T1^4*T2^12 + 231*T1^5*T2^12 - 
      261*T1^6*T2^12 - 1376*T1^7*T2^12 + 4128*T1^8*T2^12 - 3437*T1^9*T2^12 + 
      650*T1^10*T2^12 - 963*T1^11*T2^12 - 2064*T1^12*T2^12 + 
      2778*T1^13*T2^12 - 659*T1^14*T2^12 - 259*T1^15*T2^12 + 99*T1^16*T2^12 - 
      140*T1^6*T2^13 + 704*T1^7*T2^13 - 941*T1^8*T2^13 - 642*T1^9*T2^13 + 
      2264*T1^10*T2^13 - 1953*T1^11*T2^13 + 2778*T1^12*T2^13 - 
      1745*T1^13*T2^13 - 36*T1^14*T2^13 + 371*T1^15*T2^13 - 93*T1^16*T2^13 + 
      20*T1^6*T2^14 - 42*T1^7*T2^14 - 227*T1^8*T2^14 + 924*T1^9*T2^14 - 
      1179*T1^10*T2^14 + 745*T1^11*T2^14 - 659*T1^12*T2^14 - 36*T1^13*T2^14 + 
      533*T1^14*T2^14 - 322*T1^15*T2^14 + 60*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 133*T1^9*T2^15 + 14*T1^10*T2^15 + 189*T1^11*T2^15 - 
      259*T1^12*T2^15 + 371*T1^13*T2^15 - 322*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 60*T1^10*T2^16 - 
      93*T1^11*T2^16 + 99*T1^12*T2^16 - 93*T1^13*T2^16 + 60*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 19] -> 
  {-((1 - 7*T + 22*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 123*T1^3 - 147*T1^4 + 123*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      553*T1^3*T2 + 455*T1^4*T2 - 175*T1^5*T2 - 112*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 789*T1^2*T2^2 + 
      712*T1^3*T2^2 + 273*T1^4*T2^2 - 1157*T1^5*T2^2 + 1461*T1^6*T2^2 - 
      784*T1^7*T2^2 + 135*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      123*T2^3 - 553*T1*T2^3 + 712*T1^2*T2^3 + 603*T1^3*T2^3 - 
      3086*T1^4*T2^3 + 3665*T1^5*T2^3 - 2446*T1^6*T2^3 - 272*T1^7*T2^3 + 
      1303*T1^8*T2^3 - 762*T1^9*T2^3 + 154*T1^10*T2^3 - 147*T2^4 + 
      455*T1*T2^4 + 273*T1^2*T2^4 - 3086*T1^3*T2^4 + 5603*T1^4*T2^4 - 
      2961*T1^5*T2^4 - 1643*T1^6*T2^4 + 5873*T1^7*T2^4 - 4505*T1^8*T2^4 + 
      932*T1^9*T2^4 + 567*T1^10*T2^4 - 343*T1^11*T2^4 + 49*T1^12*T2^4 + 
      123*T2^5 - 175*T1*T2^5 - 1157*T1^2*T2^5 + 3665*T1^3*T2^5 - 
      2961*T1^4*T2^5 - 4748*T1^5*T2^5 + 10930*T1^6*T2^5 - 11368*T1^7*T2^5 + 
      3064*T1^8*T2^5 + 4054*T1^9*T2^5 - 3352*T1^10*T2^5 + 634*T1^11*T2^5 + 
      231*T1^12*T2^5 - 82*T1^13*T2^5 - 66*T2^6 - 112*T1*T2^6 + 
      1461*T1^2*T2^6 - 2446*T1^3*T2^6 - 1643*T1^4*T2^6 + 10930*T1^5*T2^6 - 
      12759*T1^6*T2^6 + 4049*T1^7*T2^6 + 9193*T1^8*T2^6 - 12682*T1^9*T2^6 + 
      3033*T1^10*T2^6 + 2306*T1^11*T2^6 - 1515*T1^12*T2^6 + 112*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 784*T1^2*T2^7 - 272*T1^3*T2^7 + 
      5873*T1^4*T2^7 - 11368*T1^5*T2^7 + 4049*T1^6*T2^7 + 12528*T1^7*T2^7 - 
      19742*T1^8*T2^7 + 10342*T1^9*T2^7 + 8302*T1^10*T2^7 - 8418*T1^11*T2^7 + 
      1730*T1^12*T2^7 + 822*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 135*T1^2*T2^8 + 1303*T1^3*T2^8 - 4505*T1^4*T2^8 + 
      3064*T1^5*T2^8 + 9193*T1^6*T2^8 - 19742*T1^7*T2^8 + 7908*T1^8*T2^8 + 
      11326*T1^9*T2^8 - 24065*T1^10*T2^8 + 8368*T1^11*T2^8 + 
      2891*T1^12*T2^8 - 2747*T1^13*T2^8 + 189*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 56*T1^2*T2^9 - 762*T1^3*T2^9 + 
      932*T1^4*T2^9 + 4054*T1^5*T2^9 - 12682*T1^6*T2^9 + 10342*T1^7*T2^9 + 
      11326*T1^8*T2^9 - 20944*T1^9*T2^9 + 16635*T1^10*T2^9 + 
      6988*T1^11*T2^9 - 10237*T1^12*T2^9 + 2934*T1^13*T2^9 + 844*T1^14*T2^9 - 
      371*T1^15*T2^9 - 35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 
      567*T1^4*T2^10 - 3352*T1^5*T2^10 + 3033*T1^6*T2^10 + 8302*T1^7*T2^10 - 
      24065*T1^8*T2^10 + 16635*T1^9*T2^10 - 2113*T1^10*T2^10 - 
      15310*T1^11*T2^10 + 7709*T1^12*T2^10 + 1400*T1^13*T2^10 - 
      2409*T1^14*T2^10 + 378*T1^15*T2^10 + 110*T1^16*T2^10 - 343*T1^4*T2^11 + 
      634*T1^5*T2^11 + 2306*T1^6*T2^11 - 8418*T1^7*T2^11 + 8368*T1^8*T2^11 + 
      6988*T1^9*T2^11 - 15310*T1^10*T2^11 + 16180*T1^11*T2^11 - 
      1403*T1^12*T2^11 - 4711*T1^13*T2^11 + 2425*T1^14*T2^11 + 
      63*T1^15*T2^11 - 205*T1^16*T2^11 + 49*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1515*T1^6*T2^12 + 1730*T1^7*T2^12 + 2891*T1^8*T2^12 - 
      10237*T1^9*T2^12 + 7709*T1^10*T2^12 - 1403*T1^11*T2^12 - 
      7217*T1^12*T2^12 + 5748*T1^13*T2^12 - 1221*T1^14*T2^12 - 
      567*T1^15*T2^12 + 245*T1^16*T2^12 - 82*T1^5*T2^13 + 112*T1^6*T2^13 + 
      822*T1^7*T2^13 - 2747*T1^8*T2^13 + 2934*T1^9*T2^13 + 1400*T1^10*T2^13 - 
      4711*T1^11*T2^13 + 5748*T1^12*T2^13 - 2047*T1^13*T2^13 - 
      652*T1^14*T2^13 + 819*T1^15*T2^13 - 205*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 189*T1^8*T2^14 + 844*T1^9*T2^14 - 2409*T1^10*T2^14 + 
      2425*T1^11*T2^14 - 1221*T1^12*T2^14 - 652*T1^13*T2^14 + 
      1113*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 378*T1^10*T2^15 + 63*T1^11*T2^15 - 
      567*T1^12*T2^15 + 819*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      205*T1^11*T2^16 + 245*T1^12*T2^16 - 205*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 20] -> 
  {(1 - 7*T + 22*T^2 - 41*T^3 + 51*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 164*T1^3 - 204*T1^4 + 164*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 686*T1^3*T2 + 
     567*T1^4*T2 - 77*T1^5*T2 - 245*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 686*T1^3*T2^2 + 
     568*T1^4*T2^2 - 2082*T1^5*T2^2 + 1844*T1^6*T2^2 - 810*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 164*T2^3 - 686*T1*T2^3 + 
     686*T1^2*T2^3 + 1317*T1^3*T2^3 - 4110*T1^4*T2^3 + 5120*T1^5*T2^3 - 
     1299*T1^6*T2^3 - 1542*T1^7*T2^3 + 2017*T1^8*T2^3 - 788*T1^9*T2^3 + 
     21*T1^10*T2^3 + 41*T1^11*T2^3 - 204*T2^4 + 567*T1*T2^4 + 568*T1^2*T2^4 - 
     4110*T1^3*T2^4 + 5717*T1^4*T2^4 - 2108*T1^5*T2^4 - 6897*T1^6*T2^4 + 
     7602*T1^7*T2^4 - 3599*T1^8*T2^4 - 420*T1^9*T2^4 + 1038*T1^10*T2^4 - 
     287*T1^11*T2^4 + 164*T2^5 - 77*T1*T2^5 - 2082*T1^2*T2^5 + 
     5120*T1^3*T2^5 - 2108*T1^4*T2^5 - 6920*T1^5*T2^5 + 15266*T1^6*T2^5 - 
     6190*T1^7*T2^5 - 3602*T1^8*T2^5 + 6261*T1^9*T2^5 - 2821*T1^10*T2^5 + 
     3*T1^11*T2^5 + 287*T1^12*T2^5 - 41*T1^13*T2^5 - 88*T2^6 - 245*T1*T2^6 + 
     1844*T1^2*T2^6 - 1299*T1^3*T2^6 - 6897*T1^4*T2^6 + 15266*T1^5*T2^6 - 
     12384*T1^6*T2^6 - 8356*T1^7*T2^6 + 16432*T1^8*T2^6 - 9042*T1^9*T2^6 - 
     109*T1^10*T2^6 + 2837*T1^11*T2^6 - 1044*T1^12*T2^6 - 21*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 810*T1^2*T2^7 - 1542*T1^3*T2^7 + 
     7602*T1^4*T2^7 - 6190*T1^5*T2^7 - 8356*T1^6*T2^7 + 25730*T1^7*T2^7 - 
     18102*T1^8*T2^7 - 2309*T1^9*T2^7 + 9562*T1^10*T2^7 - 6131*T1^11*T2^7 + 
     378*T1^12*T2^7 + 796*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 2017*T1^3*T2^8 - 3599*T1^4*T2^8 - 
     3602*T1^5*T2^8 + 16432*T1^6*T2^8 - 18102*T1^7*T2^8 - 1116*T1^8*T2^8 + 
     19690*T1^9*T2^8 - 12954*T1^10*T2^8 + 2290*T1^11*T2^8 + 3813*T1^12*T2^8 - 
     2033*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 788*T1^3*T2^9 - 420*T1^4*T2^9 + 
     6261*T1^5*T2^9 - 9042*T1^6*T2^9 - 2309*T1^7*T2^9 + 19690*T1^8*T2^9 - 
     24142*T1^9*T2^9 + 3738*T1^10*T2^9 + 6710*T1^11*T2^9 - 7472*T1^12*T2^9 + 
     1500*T1^13*T2^9 + 818*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 21*T1^3*T2^10 + 1038*T1^4*T2^10 - 2821*T1^5*T2^10 - 
     109*T1^6*T2^10 + 9562*T1^7*T2^10 - 12954*T1^8*T2^10 + 3738*T1^9*T2^10 + 
     15862*T1^10*T2^10 - 14746*T1^11*T2^10 + 6679*T1^12*T2^10 + 
     1315*T1^13*T2^10 - 1850*T1^14*T2^10 + 245*T1^15*T2^10 + 88*T1^16*T2^10 + 
     41*T1^3*T2^11 - 287*T1^4*T2^11 + 3*T1^5*T2^11 + 2837*T1^6*T2^11 - 
     6131*T1^7*T2^11 + 2290*T1^8*T2^11 + 6710*T1^9*T2^11 - 
     14746*T1^10*T2^11 + 5608*T1^11*T2^11 + 2238*T1^12*T2^11 - 
     5104*T1^13*T2^11 + 2088*T1^14*T2^11 + 77*T1^15*T2^11 - 164*T1^16*T2^11 + 
     287*T1^5*T2^12 - 1044*T1^6*T2^12 + 378*T1^7*T2^12 + 3813*T1^8*T2^12 - 
     7472*T1^9*T2^12 + 6679*T1^10*T2^12 + 2238*T1^11*T2^12 - 
     5503*T1^12*T2^12 + 4068*T1^13*T2^12 - 574*T1^14*T2^12 - 
     567*T1^15*T2^12 + 204*T1^16*T2^12 - 41*T1^5*T2^13 - 21*T1^6*T2^13 + 
     796*T1^7*T2^13 - 2033*T1^8*T2^13 + 1500*T1^9*T2^13 + 1315*T1^10*T2^13 - 
     5104*T1^11*T2^13 + 4068*T1^12*T2^13 - 1333*T1^13*T2^13 - 
     678*T1^14*T2^13 + 686*T1^15*T2^13 - 164*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 26*T1^8*T2^14 + 818*T1^9*T2^14 - 1850*T1^10*T2^14 + 
     2088*T1^11*T2^14 - 574*T1^12*T2^14 - 678*T1^13*T2^14 + 950*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 245*T1^10*T2^15 + 77*T1^11*T2^15 - 567*T1^12*T2^15 + 
     686*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 164*T1^11*T2^16 + 
     204*T1^12*T2^16 - 164*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 21] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((-336 + 1748*T1 - 3712*T1^2 + 4688*T1^3 - 3712*T1^4 + 1748*T1^5 - 
      336*T1^6 + 1748*T2 - 7698*T1*T2 + 12034*T1^2*T2 - 8890*T1^3*T2 - 
      322*T1^4*T2 + 6490*T1^5*T2 - 5598*T1^6*T2 + 1412*T1^7*T2 - 3712*T2^2 + 
      12034*T1*T2^2 - 5316*T1^2*T2^2 - 17360*T1^3*T2^2 + 36464*T1^4*T2^2 - 
      30320*T1^5*T2^2 + 9444*T1^6*T2^2 + 4474*T1^7*T2^2 - 2272*T1^8*T2^2 + 
      4688*T2^3 - 8890*T1*T2^3 - 17360*T1^2*T2^3 + 47961*T1^3*T2^3 - 
      46360*T1^4*T2^3 + 4886*T1^5*T2^3 + 27315*T1^6*T2^3 - 24515*T1^7*T2^3 + 
      1694*T1^8*T2^3 + 1952*T1^9*T2^3 - 3712*T2^4 - 322*T1*T2^4 + 
      36464*T1^2*T2^4 - 46360*T1^3*T2^4 + 8010*T1^4*T2^4 + 46682*T1^5*T2^4 - 
      48654*T1^6*T2^4 + 10754*T1^7*T2^4 + 18590*T1^8*T2^4 - 5866*T1^9*T2^4 - 
      832*T1^10*T2^4 + 1748*T2^5 + 6490*T1*T2^5 - 30320*T1^2*T2^5 + 
      4886*T1^3*T2^5 + 46682*T1^4*T2^5 - 66788*T1^5*T2^5 + 18232*T1^6*T2^5 + 
      31427*T1^7*T2^5 - 34624*T1^8*T2^5 + 55*T1^9*T2^5 + 3970*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5598*T1*T2^6 + 9444*T1^2*T2^6 + 
      27315*T1^3*T2^6 - 48654*T1^4*T2^6 + 18232*T1^5*T2^6 + 43596*T1^6*T2^6 - 
      57260*T1^7*T2^6 + 21168*T1^8*T2^6 + 16173*T1^9*T2^6 - 7080*T1^10*T2^6 - 
      558*T1^11*T2^6 + 48*T1^12*T2^6 + 1412*T1*T2^7 + 4474*T1^2*T2^7 - 
      24515*T1^3*T2^7 + 10754*T1^4*T2^7 + 31427*T1^5*T2^7 - 57260*T1^6*T2^7 + 
      27760*T1^7*T2^7 + 16172*T1^8*T2^7 - 28756*T1^9*T2^7 + 5860*T1^10*T2^7 + 
      1954*T1^11*T2^7 - 268*T1^12*T2^7 - 2272*T1^2*T2^8 + 1694*T1^3*T2^8 + 
      18590*T1^4*T2^8 - 34624*T1^5*T2^8 + 21168*T1^6*T2^8 + 16172*T1^7*T2^8 - 
      35496*T1^8*T2^8 + 22490*T1^9*T2^8 + 716*T1^10*T2^8 - 3850*T1^11*T2^8 + 
      608*T1^12*T2^8 + 1952*T1^3*T2^9 - 5866*T1^4*T2^9 + 55*T1^5*T2^9 + 
      16173*T1^6*T2^9 - 28756*T1^7*T2^9 + 22490*T1^8*T2^9 - 4473*T1^9*T2^9 - 
      7100*T1^10*T2^9 + 4718*T1^11*T2^9 - 784*T1^12*T2^9 - 832*T1^4*T2^10 + 
      3970*T1^5*T2^10 - 7080*T1^6*T2^10 + 5860*T1^7*T2^10 + 716*T1^8*T2^10 - 
      7100*T1^9*T2^10 + 7680*T1^10*T2^10 - 3590*T1^11*T2^10 + 
      608*T1^12*T2^10 + 68*T1^5*T2^11 - 558*T1^6*T2^11 + 1954*T1^7*T2^11 - 
      3850*T1^8*T2^11 + 4718*T1^9*T2^11 - 3590*T1^10*T2^11 + 
      1542*T1^11*T2^11 - 268*T1^12*T2^11 + 48*T1^6*T2^12 - 268*T1^7*T2^12 + 
      608*T1^8*T2^12 - 784*T1^9*T2^12 + 608*T1^10*T2^12 - 268*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 22] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 400*T1^2 + 559*T1^3 - 400*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1963*T1^2*T2 - 1939*T1^3*T2 + 245*T1^4*T2 + 
      715*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 400*T2^2 + 1963*T1*T2^2 - 
      3020*T1^2*T2^2 - 361*T1^3*T2^2 + 6108*T1^4*T2^2 - 5401*T1^5*T2^2 + 
      1600*T1^6*T2^2 + 143*T1^7*T2^2 - 120*T1^8*T2^2 + 559*T2^3 - 
      1939*T1*T2^3 - 361*T1^2*T2^3 + 10463*T1^3*T2^3 - 17364*T1^4*T2^3 + 
      6744*T1^5*T2^3 + 3617*T1^6*T2^3 - 3826*T1^7*T2^3 + 973*T1^8*T2^3 - 
      29*T1^9*T2^3 - 400*T2^4 + 245*T1*T2^4 + 6108*T1^2*T2^4 - 
      17364*T1^3*T2^4 + 13453*T1^4*T2^4 + 12689*T1^5*T2^4 - 23171*T1^6*T2^4 + 
      10958*T1^7*T2^4 - 654*T1^8*T2^4 - 847*T1^9*T2^4 + 160*T1^10*T2^4 + 
      149*T2^5 + 715*T1*T2^5 - 5401*T1^2*T2^5 + 6744*T1^3*T2^5 + 
      12689*T1^4*T2^5 - 42620*T1^5*T2^5 + 37870*T1^6*T2^5 - 4566*T1^7*T2^5 - 
      8936*T1^8*T2^5 + 4364*T1^9*T2^5 - 325*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1600*T1^2*T2^6 + 3617*T1^3*T2^6 - 
      23171*T1^4*T2^6 + 37870*T1^5*T2^6 - 13284*T1^6*T2^6 - 28334*T1^7*T2^6 + 
      25395*T1^8*T2^6 - 5749*T1^9*T2^6 - 1448*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 143*T1^2*T2^7 - 3826*T1^3*T2^7 + 
      10958*T1^4*T2^7 - 4566*T1^5*T2^7 - 28334*T1^6*T2^7 + 52156*T1^7*T2^7 - 
      21821*T1^8*T2^7 - 4722*T1^9*T2^7 + 5939*T1^10*T2^7 - 897*T1^11*T2^7 - 
      163*T1^12*T2^7 - 120*T1^2*T2^8 + 973*T1^3*T2^8 - 654*T1^4*T2^8 - 
      8936*T1^5*T2^8 + 25395*T1^6*T2^8 - 21821*T1^7*T2^8 - 11229*T1^8*T2^8 + 
      19386*T1^9*T2^8 - 7416*T1^10*T2^8 - 119*T1^11*T2^8 + 440*T1^12*T2^8 - 
      29*T1^3*T2^9 - 847*T1^4*T2^9 + 4364*T1^5*T2^9 - 5749*T1^6*T2^9 - 
      4722*T1^7*T2^9 + 19386*T1^8*T2^9 - 12595*T1^9*T2^9 + 899*T1^10*T2^9 + 
      2065*T1^11*T2^9 - 617*T1^12*T2^9 + 160*T1^4*T2^10 - 325*T1^5*T2^10 - 
      1448*T1^6*T2^10 + 5939*T1^7*T2^10 - 7416*T1^8*T2^10 + 899*T1^9*T2^10 + 
      3172*T1^10*T2^10 - 2145*T1^11*T2^10 + 440*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 897*T1^7*T2^11 - 119*T1^8*T2^11 + 
      2065*T1^9*T2^11 - 2145*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 440*T1^8*T2^12 - 
      617*T1^9*T2^12 + 440*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 23] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((-25 + 187*T1 - 560*T1^2 + 809*T1^3 - 560*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3241*T1^2*T2 - 3213*T1^3*T2 + 87*T1^4*T2 + 
      1441*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 560*T2^2 + 3241*T1*T2^2 - 
      5671*T1^2*T2^2 - 1521*T1^3*T2^2 + 13505*T1^4*T2^2 - 10521*T1^5*T2^2 + 
      2069*T1^6*T2^2 + 541*T1^7*T2^2 - 200*T1^8*T2^2 + 809*T2^3 - 
      3213*T1*T2^3 - 1521*T1^2*T2^3 + 25847*T1^3*T2^3 - 40283*T1^4*T2^3 + 
      10567*T1^5*T2^3 + 11477*T1^6*T2^3 - 7596*T1^7*T2^3 + 1287*T1^8*T2^3 + 
      29*T1^9*T2^3 - 560*T2^4 + 87*T1*T2^4 + 13505*T1^2*T2^4 - 
      40283*T1^3*T2^4 + 23644*T1^4*T2^4 + 46980*T1^5*T2^4 - 58376*T1^6*T2^4 + 
      20167*T1^7*T2^4 + 455*T1^8*T2^4 - 1413*T1^9*T2^4 + 160*T1^10*T2^4 + 
      187*T2^5 + 1441*T1*T2^5 - 10521*T1^2*T2^5 + 10567*T1^3*T2^5 + 
      46980*T1^4*T2^5 - 120622*T1^5*T2^5 + 82178*T1^6*T2^5 + 405*T1^7*T2^5 - 
      21083*T1^8*T2^5 + 7254*T1^9*T2^5 - 359*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 2069*T1^2*T2^6 + 11477*T1^3*T2^6 - 
      58376*T1^4*T2^6 + 82178*T1^5*T2^6 - 1116*T1^6*T2^6 - 81982*T1^7*T2^6 + 
      58354*T1^8*T2^6 - 10333*T1^9*T2^6 - 2251*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 541*T1^2*T2^7 - 7596*T1^3*T2^7 + 
      20167*T1^4*T2^7 + 405*T1^5*T2^7 - 81982*T1^6*T2^7 + 120818*T1^7*T2^7 - 
      46170*T1^8*T2^7 - 11483*T1^9*T2^7 + 10179*T1^10*T2^7 - 
      1259*T1^11*T2^7 - 173*T1^12*T2^7 - 200*T1^2*T2^8 + 1287*T1^3*T2^8 + 
      455*T1^4*T2^8 - 21083*T1^5*T2^8 + 58354*T1^6*T2^8 - 46170*T1^7*T2^8 - 
      23666*T1^8*T2^8 + 39367*T1^9*T2^8 - 12595*T1^10*T2^8 - 213*T1^11*T2^8 + 
      520*T1^12*T2^8 + 29*T1^3*T2^9 - 1413*T1^4*T2^9 + 7254*T1^5*T2^9 - 
      10333*T1^6*T2^9 - 11483*T1^7*T2^9 + 39367*T1^8*T2^9 - 24703*T1^9*T2^9 + 
      1179*T1^10*T2^9 + 3087*T1^11*T2^9 - 751*T1^12*T2^9 + 160*T1^4*T2^10 - 
      359*T1^5*T2^10 - 2251*T1^6*T2^10 + 10179*T1^7*T2^10 - 
      12595*T1^8*T2^10 + 1179*T1^9*T2^10 + 5489*T1^10*T2^10 - 
      3059*T1^11*T2^10 + 520*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 
      1259*T1^7*T2^11 - 213*T1^8*T2^11 + 3087*T1^9*T2^11 - 3059*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      520*T1^8*T2^12 - 751*T1^9*T2^12 + 520*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 24] -> 
  {(1 - 7*T + 20*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 120*T1^2 + 198*T1^3 - 234*T1^4 + 198*T1^5 - 120*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 595*T1^2*T2 - 686*T1^3*T2 + 
     483*T1^4*T2 - 21*T1^5*T2 - 315*T1^6*T2 + 406*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 120*T2^2 + 595*T1*T2^2 - 770*T1^2*T2^2 - 360*T1^3*T2^2 + 
     1776*T1^4*T2^2 - 2920*T1^5*T2^2 + 2536*T1^6*T2^2 - 1400*T1^7*T2^2 - 
     10*T1^8*T2^2 + 315*T1^9*T2^2 - 80*T1^10*T2^2 + 198*T2^3 - 686*T1*T2^3 - 
     360*T1^2*T2^3 + 3595*T1^3*T2^3 - 4865*T1^4*T2^3 + 4254*T1^5*T2^3 - 
     579*T1^6*T2^3 - 1999*T1^7*T2^3 + 3181*T1^8*T2^3 - 1220*T1^9*T2^3 - 
     133*T1^10*T2^3 + 99*T1^11*T2^3 - 234*T2^4 + 483*T1*T2^4 + 
     1776*T1^2*T2^4 - 4865*T1^3*T2^4 + 1894*T1^4*T2^4 + 2273*T1^5*T2^4 - 
     7758*T1^6*T2^4 + 6995*T1^7*T2^4 - 4190*T1^8*T2^4 - 1235*T1^9*T2^4 + 
     1662*T1^10*T2^4 - 147*T1^11*T2^4 - 78*T1^12*T2^4 + 198*T2^5 - 
     21*T1*T2^5 - 2920*T1^2*T2^5 + 4254*T1^3*T2^5 + 2273*T1^4*T2^5 - 
     5446*T1^5*T2^5 + 7446*T1^6*T2^5 - 1122*T1^7*T2^5 - 2530*T1^8*T2^5 + 
     5864*T1^9*T2^5 - 1401*T1^10*T2^5 - 1147*T1^11*T2^5 + 315*T1^12*T2^5 + 
     33*T1^13*T2^5 - 120*T2^6 - 315*T1*T2^6 + 2536*T1^2*T2^6 - 
     579*T1^3*T2^6 - 7758*T1^4*T2^6 + 7446*T1^5*T2^6 - 5678*T1^6*T2^6 - 
     2186*T1^7*T2^6 + 2218*T1^8*T2^6 - 1962*T1^9*T2^6 - 3930*T1^10*T2^6 + 
     3021*T1^11*T2^6 + 28*T1^12*T2^6 - 231*T1^13*T2^6 + 42*T2^7 + 
     406*T1*T2^7 - 1400*T1^2*T2^7 - 1999*T1^3*T2^7 + 6995*T1^4*T2^7 - 
     1122*T1^5*T2^7 - 2186*T1^6*T2^7 + 5938*T1^7*T2^7 - 294*T1^8*T2^7 - 
     2235*T1^9*T2^7 + 5766*T1^10*T2^7 - 1120*T1^11*T2^7 - 1809*T1^12*T2^7 + 
     540*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     10*T1^2*T2^8 + 3181*T1^3*T2^8 - 4190*T1^4*T2^8 - 2530*T1^5*T2^8 + 
     2218*T1^6*T2^8 - 294*T1^7*T2^8 - 5844*T1^8*T2^8 + 5018*T1^9*T2^8 - 
     3152*T1^10*T2^8 - 2746*T1^11*T2^8 + 3174*T1^12*T2^8 - 225*T1^13*T2^8 - 
     308*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     315*T1^2*T2^9 - 1220*T1^3*T2^9 - 1235*T1^4*T2^9 + 5864*T1^5*T2^9 - 
     1962*T1^6*T2^9 - 2235*T1^7*T2^9 + 5018*T1^8*T2^9 - 1214*T1^9*T2^9 - 
     2284*T1^10*T2^9 + 4926*T1^11*T2^9 - 2251*T1^12*T2^9 - 1045*T1^13*T2^9 + 
     720*T1^14*T2^9 - 42*T1^15*T2^9 - 14*T1^16*T2^9 - 80*T1^2*T2^10 - 
     133*T1^3*T2^10 + 1662*T1^4*T2^10 - 1401*T1^5*T2^10 - 3930*T1^6*T2^10 + 
     5766*T1^7*T2^10 - 3152*T1^8*T2^10 - 2284*T1^9*T2^10 + 4744*T1^10*T2^10 - 
     3642*T1^11*T2^10 - 102*T1^12*T2^10 + 2199*T1^13*T2^10 - 
     846*T1^14*T2^10 - 49*T1^15*T2^10 + 40*T1^16*T2^10 + 99*T1^3*T2^11 - 
     147*T1^4*T2^11 - 1147*T1^5*T2^11 + 3021*T1^6*T2^11 - 1120*T1^7*T2^11 - 
     2746*T1^8*T2^11 + 4926*T1^9*T2^11 - 3642*T1^10*T2^11 + 170*T1^11*T2^11 + 
     2471*T1^12*T2^11 - 2634*T1^13*T2^11 + 626*T1^14*T2^11 + 
     189*T1^15*T2^11 - 66*T1^16*T2^11 - 78*T1^4*T2^12 + 315*T1^5*T2^12 + 
     28*T1^6*T2^12 - 1809*T1^7*T2^12 + 3174*T1^8*T2^12 - 2251*T1^9*T2^12 - 
     102*T1^10*T2^12 + 2471*T1^11*T2^12 - 2910*T1^12*T2^12 + 
     1821*T1^13*T2^12 - 86*T1^14*T2^12 - 315*T1^15*T2^12 + 78*T1^16*T2^12 + 
     33*T1^5*T2^13 - 231*T1^6*T2^13 + 540*T1^7*T2^13 - 225*T1^8*T2^13 - 
     1045*T1^9*T2^13 + 2199*T1^10*T2^13 - 2634*T1^11*T2^13 + 
     1821*T1^12*T2^13 - 639*T1^13*T2^13 - 320*T1^14*T2^13 + 322*T1^15*T2^13 - 
     66*T1^16*T2^13 + 49*T1^7*T2^14 - 308*T1^8*T2^14 + 720*T1^9*T2^14 - 
     846*T1^10*T2^14 + 626*T1^11*T2^14 - 86*T1^12*T2^14 - 320*T1^13*T2^14 + 
     452*T1^14*T2^14 - 231*T1^15*T2^14 + 40*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 42*T1^9*T2^15 - 49*T1^10*T2^15 + 189*T1^11*T2^15 - 
     315*T1^12*T2^15 + 322*T1^13*T2^15 - 231*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 40*T1^10*T2^16 - 
     66*T1^11*T2^16 + 78*T1^12*T2^16 - 66*T1^13*T2^16 + 40*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 25] -> 
  {-(((1 - 3*T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3), 
   -((-25 + 187*T1 - 548*T1^2 + 785*T1^3 - 548*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3151*T1^2*T2 - 3093*T1^3*T2 + 117*T1^4*T2 + 
      1381*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 548*T2^2 + 3151*T1*T2^2 - 
      5133*T1^2*T2^2 - 2036*T1^3*T2^2 + 13357*T1^4*T2^2 - 10484*T1^5*T2^2 + 
      2259*T1^6*T2^2 + 511*T1^7*T2^2 - 196*T1^8*T2^2 + 785*T2^3 - 
      3093*T1*T2^3 - 2036*T1^2*T2^3 + 25074*T1^3*T2^3 - 38092*T1^4*T2^3 + 
      10226*T1^5*T2^3 + 10704*T1^6*T2^3 - 7448*T1^7*T2^3 + 1257*T1^8*T2^3 + 
      29*T1^9*T2^3 - 548*T2^4 + 117*T1*T2^4 + 13357*T1^2*T2^4 - 
      38092*T1^3*T2^4 + 22013*T1^4*T2^4 + 43115*T1^5*T2^4 - 53923*T1^6*T2^4 + 
      19112*T1^7*T2^4 + 495*T1^8*T2^4 - 1383*T1^9*T2^4 + 156*T1^10*T2^4 + 
      187*T2^5 + 1381*T1*T2^5 - 10484*T1^2*T2^5 + 10226*T1^3*T2^5 + 
      43115*T1^4*T2^5 - 109344*T1^5*T2^5 + 72990*T1^6*T2^5 + 1667*T1^7*T2^5 - 
      20320*T1^8*T2^5 + 7072*T1^9*T2^5 - 329*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 2259*T1^2*T2^6 + 10704*T1^3*T2^6 - 
      53923*T1^4*T2^6 + 72990*T1^5*T2^6 + 2640*T1^6*T2^6 - 75426*T1^7*T2^6 + 
      53057*T1^8*T2^6 - 9288*T1^9*T2^6 - 2441*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 511*T1^2*T2^7 - 7448*T1^3*T2^7 + 
      19112*T1^4*T2^7 + 1667*T1^5*T2^7 - 75426*T1^6*T2^7 + 106908*T1^7*T2^7 - 
      39781*T1^8*T2^7 - 11434*T1^9*T2^7 + 10108*T1^10*T2^7 - 
      1199*T1^11*T2^7 - 173*T1^12*T2^7 - 196*T1^2*T2^8 + 1257*T1^3*T2^8 + 
      495*T1^4*T2^8 - 20320*T1^5*T2^8 + 53057*T1^6*T2^8 - 39781*T1^7*T2^8 - 
      22879*T1^8*T2^8 + 36884*T1^9*T2^8 - 12367*T1^10*T2^8 - 243*T1^11*T2^8 + 
      508*T1^12*T2^8 + 29*T1^3*T2^9 - 1383*T1^4*T2^9 + 7072*T1^5*T2^9 - 
      9288*T1^6*T2^9 - 11434*T1^7*T2^9 + 36884*T1^8*T2^9 - 23658*T1^9*T2^9 + 
      1660*T1^10*T2^9 + 2967*T1^11*T2^9 - 727*T1^12*T2^9 + 156*T1^4*T2^10 - 
      329*T1^5*T2^10 - 2441*T1^6*T2^10 + 10108*T1^7*T2^10 - 
      12367*T1^8*T2^10 + 1660*T1^9*T2^10 + 4951*T1^10*T2^10 - 
      2969*T1^11*T2^10 + 508*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 
      1199*T1^7*T2^11 - 243*T1^8*T2^11 + 2967*T1^9*T2^11 - 2969*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      508*T1^8*T2^12 - 727*T1^9*T2^12 + 508*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 26] -> 
  {(1 - 7*T + 20*T^2 - 29*T^3 + 31*T^4 - 29*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 40*T1^2 + 58*T1^3 - 62*T1^4 + 58*T1^5 - 40*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 231*T1^2*T2 - 266*T1^3*T2 + 231*T1^4*T2 - 
     189*T1^5*T2 + 77*T1^6*T2 + 42*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     40*T2^2 + 231*T1*T2^2 - 458*T1^2*T2^2 + 189*T1^3*T2^2 + 160*T1^4*T2^2 - 
     332*T1^5*T2^2 + 600*T1^6*T2^2 - 691*T1^7*T2^2 + 302*T1^8*T2^2 - 
     49*T1^9*T2^2 + 58*T2^3 - 266*T1*T2^3 + 189*T1^2*T2^3 + 1043*T1^3*T2^3 - 
     1978*T1^4*T2^3 + 2035*T1^5*T2^3 - 2102*T1^6*T2^3 + 1576*T1^7*T2^3 - 
     127*T1^8*T2^3 - 431*T1^9*T2^3 + 203*T1^10*T2^3 - 29*T1^11*T2^3 - 
     62*T2^4 + 231*T1*T2^4 + 160*T1^2*T2^4 - 1978*T1^3*T2^4 + 
     2538*T1^4*T2^4 - 1112*T1^5*T2^4 + 438*T1^6*T2^4 + 626*T1^7*T2^4 - 
     2674*T1^8*T2^4 + 2140*T1^9*T2^4 - 202*T1^10*T2^4 - 231*T1^11*T2^4 + 
     62*T1^12*T2^4 + 58*T2^5 - 189*T1*T2^5 - 332*T1^2*T2^5 + 2035*T1^3*T2^5 - 
     1112*T1^4*T2^5 - 2610*T1^5*T2^5 + 3041*T1^6*T2^5 - 3775*T1^7*T2^5 + 
     5422*T1^8*T2^5 - 1737*T1^9*T2^5 - 2140*T1^10*T2^5 + 745*T1^11*T2^5 + 
     175*T1^12*T2^5 - 87*T1^13*T2^5 - 40*T2^6 + 77*T1*T2^6 + 600*T1^2*T2^6 - 
     2102*T1^3*T2^6 + 438*T1^4*T2^6 + 3041*T1^5*T2^6 - 592*T1^6*T2^6 + 
     1310*T1^7*T2^6 - 2536*T1^8*T2^6 - 3359*T1^9*T2^6 + 4170*T1^10*T2^6 + 
     1978*T1^11*T2^6 - 1444*T1^12*T2^6 + 49*T1^13*T2^6 + 80*T1^14*T2^6 + 
     14*T2^7 + 42*T1*T2^7 - 691*T1^2*T2^7 + 1576*T1^3*T2^7 + 626*T1^4*T2^7 - 
     3775*T1^5*T2^7 + 1310*T1^6*T2^7 - 5826*T1^7*T2^7 + 6986*T1^8*T2^7 - 
     739*T1^9*T2^7 + 3873*T1^10*T2^7 - 8201*T1^11*T2^7 + 278*T1^12*T2^7 + 
     1489*T1^13*T2^7 - 315*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     302*T1^2*T2^8 - 127*T1^3*T2^8 - 2674*T1^4*T2^8 + 5422*T1^5*T2^8 - 
     2536*T1^6*T2^8 + 6986*T1^7*T2^8 - 3300*T1^8*T2^8 - 4182*T1^9*T2^8 + 
     94*T1^10*T2^8 - 138*T1^11*T2^8 + 9274*T1^12*T2^8 - 3997*T1^13*T2^8 + 
     4*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 431*T1^3*T2^9 + 2140*T1^4*T2^9 - 1737*T1^5*T2^9 - 
     3359*T1^6*T2^9 - 739*T1^7*T2^9 - 4182*T1^8*T2^9 + 8630*T1^9*T2^9 - 
     2788*T1^10*T2^9 + 4289*T1^11*T2^9 - 10564*T1^12*T2^9 + 842*T1^13*T2^9 + 
     1749*T1^14*T2^9 - 406*T1^15*T2^9 - 42*T1^16*T2^9 + 203*T1^3*T2^10 - 
     202*T1^4*T2^10 - 2140*T1^5*T2^10 + 4170*T1^6*T2^10 + 3873*T1^7*T2^10 + 
     94*T1^8*T2^10 - 2788*T1^9*T2^10 - 1850*T1^10*T2^10 - 2527*T1^11*T2^10 + 
     7902*T1^12*T2^10 + 1940*T1^13*T2^10 - 2246*T1^14*T2^10 + 
     175*T1^15*T2^10 + 120*T1^16*T2^10 - 29*T1^3*T2^11 - 231*T1^4*T2^11 + 
     745*T1^5*T2^11 + 1978*T1^6*T2^11 - 8201*T1^7*T2^11 - 138*T1^8*T2^11 + 
     4289*T1^9*T2^11 - 2527*T1^10*T2^11 + 7894*T1^11*T2^11 - 
     8826*T1^12*T2^11 - 2197*T1^13*T2^11 + 1822*T1^14*T2^11 + 
     133*T1^15*T2^11 - 174*T1^16*T2^11 + 62*T1^4*T2^12 + 175*T1^5*T2^12 - 
     1444*T1^6*T2^12 + 278*T1^7*T2^12 + 9274*T1^8*T2^12 - 10564*T1^9*T2^12 + 
     7902*T1^10*T2^12 - 8826*T1^11*T2^12 + 4062*T1^12*T2^12 + 
     4396*T1^13*T2^12 - 1806*T1^14*T2^12 - 287*T1^15*T2^12 + 
     186*T1^16*T2^12 - 87*T1^5*T2^13 + 49*T1^6*T2^13 + 1489*T1^7*T2^13 - 
     3997*T1^8*T2^13 + 842*T1^9*T2^13 + 1940*T1^10*T2^13 - 2197*T1^11*T2^13 + 
     4396*T1^12*T2^13 - 5167*T1^13*T2^13 + 869*T1^14*T2^13 + 
     518*T1^15*T2^13 - 174*T1^16*T2^13 + 80*T1^6*T2^14 - 315*T1^7*T2^14 + 
     4*T1^8*T2^14 + 1749*T1^9*T2^14 - 2246*T1^10*T2^14 + 1822*T1^11*T2^14 - 
     1806*T1^12*T2^14 + 869*T1^13*T2^14 + 764*T1^14*T2^14 - 595*T1^15*T2^14 + 
     120*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 406*T1^9*T2^15 + 
     175*T1^10*T2^15 + 133*T1^11*T2^15 - 287*T1^12*T2^15 + 518*T1^13*T2^15 - 
     595*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 6*T1^8*T2^16 - 
     42*T1^9*T2^16 + 120*T1^10*T2^16 - 174*T1^11*T2^16 + 186*T1^12*T2^16 - 
     174*T1^13*T2^16 + 120*T1^14*T2^16 - 42*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 27] -> 
  {(2 - 15*T + 45*T^2 - 63*T^3 + 45*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-15 + 113*T1 - 340*T1^2 + 477*T1^3 - 340*T1^4 + 113*T1^5 - 15*T1^6 + 
     113*T2 - 798*T1*T2 + 2159*T1^2*T2 - 2381*T1^3*T2 + 859*T1^4*T2 + 
     359*T1^5*T2 - 288*T1^6*T2 + 53*T1^7*T2 - 340*T2^2 + 2159*T1*T2^2 - 
     4650*T1^2*T2^2 + 1545*T1^3*T2^2 + 5504*T1^4*T2^2 - 7095*T1^5*T2^2 + 
     3090*T1^6*T2^2 - 541*T1^7*T2^2 + 20*T1^8*T2^2 + 477*T2^3 - 
     2381*T1*T2^3 + 1545*T1^2*T2^3 + 12995*T1^3*T2^3 - 28592*T1^4*T2^3 + 
     21628*T1^5*T2^3 - 2935*T1^6*T2^3 - 3990*T1^7*T2^3 + 1939*T1^8*T2^3 - 
     279*T1^9*T2^3 - 340*T2^4 + 859*T1*T2^4 + 5504*T1^2*T2^4 - 
     28592*T1^3*T2^4 + 39897*T1^4*T2^4 - 3953*T1^5*T2^4 - 35343*T1^6*T2^4 + 
     29998*T1^7*T2^4 - 6646*T1^8*T2^4 - 761*T1^9*T2^4 + 380*T1^10*T2^4 + 
     113*T2^5 + 359*T1*T2^5 - 7095*T1^2*T2^5 + 21628*T1^3*T2^5 - 
     3953*T1^4*T2^5 - 75860*T1^5*T2^5 + 111370*T1^6*T2^5 - 49178*T1^7*T2^5 - 
     11852*T1^8*T2^5 + 10860*T1^9*T2^5 - 1441*T1^10*T2^5 - 187*T1^11*T2^5 - 
     15*T2^6 - 288*T1*T2^6 + 3090*T1^2*T2^6 - 2935*T1^3*T2^6 - 
     35343*T1^4*T2^6 + 111370*T1^5*T2^6 - 79152*T1^6*T2^6 - 44690*T1^7*T2^6 + 
     83187*T1^8*T2^6 - 24697*T1^9*T2^6 - 1230*T1^10*T2^6 + 1152*T1^11*T2^6 + 
     33*T1^12*T2^6 + 53*T1*T2^7 - 541*T1^2*T2^7 - 3990*T1^3*T2^7 + 
     29998*T1^4*T2^7 - 49178*T1^5*T2^7 - 44690*T1^6*T2^7 + 142540*T1^7*T2^7 - 
     94403*T1^8*T2^7 - 3482*T1^9*T2^7 + 13965*T1^10*T2^7 - 2341*T1^11*T2^7 - 
     247*T1^12*T2^7 + 20*T1^2*T2^8 + 1939*T1^3*T2^8 - 6646*T1^4*T2^8 - 
     11852*T1^5*T2^8 + 83187*T1^6*T2^8 - 94403*T1^7*T2^8 + 7947*T1^8*T2^8 + 
     46738*T1^9*T2^8 - 18796*T1^10*T2^8 + 319*T1^11*T2^8 + 740*T1^12*T2^8 - 
     279*T1^3*T2^9 - 761*T1^4*T2^9 + 10860*T1^5*T2^9 - 24697*T1^6*T2^9 - 
     3482*T1^7*T2^9 + 46738*T1^8*T2^9 - 40627*T1^9*T2^9 + 5325*T1^10*T2^9 + 
     3559*T1^11*T2^9 - 1035*T1^12*T2^9 + 380*T1^4*T2^10 - 1441*T1^5*T2^10 - 
     1230*T1^6*T2^10 + 13965*T1^7*T2^10 - 18796*T1^8*T2^10 + 
     5325*T1^9*T2^10 + 6510*T1^10*T2^10 - 4141*T1^11*T2^10 + 
     740*T1^12*T2^10 - 187*T1^5*T2^11 + 1152*T1^6*T2^11 - 2341*T1^7*T2^11 + 
     319*T1^8*T2^11 + 3559*T1^9*T2^11 - 4141*T1^10*T2^11 + 1662*T1^11*T2^11 - 
     247*T1^12*T2^11 + 33*T1^6*T2^12 - 247*T1^7*T2^12 + 740*T1^8*T2^12 - 
     1035*T1^9*T2^12 + 740*T1^10*T2^12 - 247*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 28] -> 
  {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-33 + 148*T1 - 213*T1^2 + 148*T1^3 - 33*T1^4 + 148*T2 - 576*T1*T2 + 
      562*T1^2*T2 - 98*T1^3*T2 - 246*T1^4*T2 + 88*T1^5*T2 - 213*T2^2 + 
      562*T1*T2^2 + 309*T1^2*T2^2 - 1293*T1^3*T2^2 + 1167*T1^4*T2^2 - 
      140*T1^5*T2^2 - 57*T1^6*T2^2 + 148*T2^3 - 98*T1*T2^3 - 1293*T1^2*T2^3 + 
      1830*T1^3*T2^3 - 744*T1^4*T2^3 - 591*T1^5*T2^3 + 292*T1^6*T2^3 - 
      8*T1^7*T2^3 - 33*T2^4 - 246*T1*T2^4 + 1167*T1^2*T2^4 - 744*T1^3*T2^4 - 
      744*T1^4*T2^4 + 1416*T1^5*T2^4 - 465*T1^6*T2^4 - 30*T1^7*T2^4 + 
      15*T1^8*T2^4 + 88*T1*T2^5 - 140*T1^2*T2^5 - 591*T1^3*T2^5 + 
      1416*T1^4*T2^5 - 1158*T1^5*T2^5 + 111*T1^6*T2^5 + 250*T1^7*T2^5 - 
      68*T1^8*T2^5 - 57*T1^2*T2^6 + 292*T1^3*T2^6 - 465*T1^4*T2^6 + 
      111*T1^5*T2^6 + 393*T1^6*T2^6 - 410*T1^7*T2^6 + 99*T1^8*T2^6 - 
      8*T1^3*T2^7 - 30*T1^4*T2^7 + 250*T1^5*T2^7 - 410*T1^6*T2^7 + 
      300*T1^7*T2^7 - 68*T1^8*T2^7 + 15*T1^4*T2^8 - 68*T1^5*T2^8 + 
      99*T1^6*T2^8 - 68*T1^7*T2^8 + 15*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 29] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 17*T^2 - 25*T^3 + 17*T^4 - 6*T^5 + T^6))/T^4), 
   -((-3 + 21*T1 - 72*T1^2 + 144*T1^3 - 177*T1^4 + 144*T1^5 - 72*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 406*T1^2*T2 - 672*T1^3*T2 + 
      567*T1^4*T2 - 182*T1^5*T2 - 168*T1^6*T2 + 189*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 72*T2^2 + 406*T1*T2^2 - 1067*T1^2*T2^2 + 1279*T1^3*T2^2 - 
      144*T1^4*T2^2 - 1139*T1^5*T2^2 + 1536*T1^6*T2^2 - 689*T1^7*T2^2 + 
      37*T1^8*T2^2 + 70*T1^9*T2^2 - 24*T1^10*T2^2 + 144*T2^3 - 672*T1*T2^3 + 
      1279*T1^2*T2^3 - 54*T1^3*T2^3 - 3527*T1^4*T2^3 + 4801*T1^5*T2^3 - 
      2807*T1^6*T2^3 - 935*T1^7*T2^3 + 1794*T1^8*T2^3 - 833*T1^9*T2^3 + 
      168*T1^10*T2^3 - 177*T2^4 + 567*T1*T2^4 - 144*T1^2*T2^4 - 
      3527*T1^3*T2^4 + 7919*T1^4*T2^4 - 3903*T1^5*T2^4 - 4439*T1^6*T2^4 + 
      9941*T1^7*T2^4 - 5945*T1^8*T2^4 + 601*T1^9*T2^4 + 816*T1^10*T2^4 - 
      413*T1^11*T2^4 + 59*T1^12*T2^4 + 144*T2^5 - 182*T1*T2^5 - 
      1139*T1^2*T2^5 + 4801*T1^3*T2^5 - 3903*T1^4*T2^5 - 10461*T1^5*T2^5 + 
      22307*T1^6*T2^5 - 19189*T1^7*T2^5 + 2469*T1^8*T2^5 + 6936*T1^9*T2^5 - 
      4199*T1^10*T2^5 + 622*T1^11*T2^5 + 259*T1^12*T2^5 - 96*T1^13*T2^5 - 
      72*T2^6 - 168*T1*T2^6 + 1536*T1^2*T2^6 - 2807*T1^3*T2^6 - 
      4439*T1^4*T2^6 + 22307*T1^5*T2^6 - 23852*T1^6*T2^6 + 864*T1^7*T2^6 + 
      23476*T1^8*T2^6 - 22765*T1^9*T2^6 + 4681*T1^10*T2^6 + 2713*T1^11*T2^6 - 
      1584*T1^12*T2^6 + 168*T1^13*T2^6 + 72*T1^14*T2^6 + 21*T2^7 + 
      189*T1*T2^7 - 689*T1^2*T2^7 - 935*T1^3*T2^7 + 9941*T1^4*T2^7 - 
      19189*T1^5*T2^7 + 864*T1^6*T2^7 + 35883*T1^7*T2^7 - 43957*T1^8*T2^7 + 
      16656*T1^9*T2^7 + 15155*T1^10*T2^7 - 12918*T1^11*T2^7 + 
      2617*T1^12*T2^7 + 559*T1^13*T2^7 - 308*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 37*T1^2*T2^8 + 1794*T1^3*T2^8 - 5945*T1^4*T2^8 + 
      2469*T1^5*T2^8 + 23476*T1^6*T2^8 - 43957*T1^7*T2^8 + 13560*T1^8*T2^8 + 
      29565*T1^9*T2^8 - 45740*T1^10*T2^8 + 14823*T1^11*T2^8 + 
      3455*T1^12*T2^8 - 3054*T1^13*T2^8 + 475*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 70*T1^2*T2^9 - 833*T1^3*T2^9 + 
      601*T1^4*T2^9 + 6936*T1^5*T2^9 - 22765*T1^6*T2^9 + 16656*T1^7*T2^9 + 
      29565*T1^8*T2^9 - 50275*T1^9*T2^9 + 32448*T1^10*T2^9 + 
      11579*T1^11*T2^9 - 15923*T1^12*T2^9 + 4153*T1^13*T2^9 + 
      415*T1^14*T2^9 - 427*T1^15*T2^9 - 35*T1^16*T2^9 - 24*T1^2*T2^10 + 
      168*T1^3*T2^10 + 816*T1^4*T2^10 - 4199*T1^5*T2^10 + 4681*T1^6*T2^10 + 
      15155*T1^7*T2^10 - 45740*T1^8*T2^10 + 32448*T1^9*T2^10 + 
      1588*T1^10*T2^10 - 29917*T1^11*T2^10 + 13801*T1^12*T2^10 + 
      1321*T1^13*T2^10 - 2304*T1^14*T2^10 + 504*T1^15*T2^10 + 
      120*T1^16*T2^10 - 413*T1^4*T2^11 + 622*T1^5*T2^11 + 2713*T1^6*T2^11 - 
      12918*T1^7*T2^11 + 14823*T1^8*T2^11 + 11579*T1^9*T2^11 - 
      29917*T1^10*T2^11 + 27753*T1^11*T2^11 - 2079*T1^12*T2^11 - 
      6287*T1^13*T2^11 + 2383*T1^14*T2^11 + 28*T1^15*T2^11 - 
      240*T1^16*T2^11 + 59*T1^4*T2^12 + 259*T1^5*T2^12 - 1584*T1^6*T2^12 + 
      2617*T1^7*T2^12 + 3455*T1^8*T2^12 - 15923*T1^9*T2^12 + 
      13801*T1^10*T2^12 - 2079*T1^11*T2^12 - 10409*T1^12*T2^12 + 
      6745*T1^13*T2^12 - 624*T1^14*T2^12 - 721*T1^15*T2^12 + 
      295*T1^16*T2^12 - 96*T1^5*T2^13 + 168*T1^6*T2^13 + 559*T1^7*T2^13 - 
      3054*T1^8*T2^13 + 4153*T1^9*T2^13 + 1321*T1^10*T2^13 - 
      6287*T1^11*T2^13 + 6745*T1^12*T2^13 - 1206*T1^13*T2^13 - 
      1553*T1^14*T2^13 + 1008*T1^15*T2^13 - 240*T1^16*T2^13 + 72*T1^6*T2^14 - 
      308*T1^7*T2^14 + 475*T1^8*T2^14 + 415*T1^9*T2^14 - 2304*T1^10*T2^14 + 
      2383*T1^11*T2^14 - 624*T1^12*T2^14 - 1553*T1^13*T2^14 + 
      1579*T1^14*T2^14 - 644*T1^15*T2^14 + 120*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 427*T1^9*T2^15 + 504*T1^10*T2^15 + 28*T1^11*T2^15 - 
      721*T1^12*T2^15 + 1008*T1^13*T2^15 - 644*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      120*T1^10*T2^16 - 240*T1^11*T2^16 + 295*T1^12*T2^16 - 240*T1^13*T2^16 + 
      120*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 30] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 658*T1^3*T2 + 
     532*T1^4*T2 - 91*T1^5*T2 - 224*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 599*T1^3*T2^2 + 
     596*T1^4*T2^2 - 1920*T1^5*T2^2 + 1784*T1^6*T2^2 - 853*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 160*T2^3 - 658*T1*T2^3 + 
     599*T1^2*T2^3 + 1636*T1^3*T2^3 - 4169*T1^4*T2^3 + 4815*T1^5*T2^3 - 
     1451*T1^6*T2^3 - 1341*T1^7*T2^3 + 2090*T1^8*T2^3 - 809*T1^9*T2^3 + 
     28*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 532*T1*T2^4 + 596*T1^2*T2^4 - 
     4169*T1^3*T2^4 + 4796*T1^4*T2^4 - 700*T1^5*T2^4 - 7126*T1^6*T2^4 + 
     7952*T1^7*T2^4 - 4276*T1^8*T2^4 - 249*T1^9*T2^4 + 988*T1^10*T2^4 - 
     280*T1^11*T2^4 + 160*T2^5 - 91*T1*T2^5 - 1920*T1^2*T2^5 + 
     4815*T1^3*T2^5 - 700*T1^4*T2^5 - 7827*T1^5*T2^5 + 14117*T1^6*T2^5 - 
     6205*T1^7*T2^5 - 2691*T1^8*T2^5 + 6169*T1^9*T2^5 - 2783*T1^10*T2^5 + 
     3*T1^11*T2^5 + 280*T1^12*T2^5 - 40*T1^13*T2^5 - 88*T2^6 - 224*T1*T2^6 + 
     1784*T1^2*T2^6 - 1451*T1^3*T2^6 - 7126*T1^4*T2^6 + 14117*T1^5*T2^6 - 
     10082*T1^6*T2^6 - 7188*T1^7*T2^6 + 13942*T1^8*T2^6 - 8551*T1^9*T2^6 - 
     182*T1^10*T2^6 + 2817*T1^11*T2^6 - 996*T1^12*T2^6 - 28*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 853*T1^2*T2^7 - 1341*T1^3*T2^7 + 
     7952*T1^4*T2^7 - 6205*T1^5*T2^7 - 7188*T1^6*T2^7 + 19991*T1^7*T2^7 - 
     12707*T1^8*T2^7 - 3016*T1^9*T2^7 + 9425*T1^10*T2^7 - 6049*T1^11*T2^7 + 
     199*T1^12*T2^7 + 819*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 2090*T1^3*T2^8 - 4276*T1^4*T2^8 - 
     2691*T1^5*T2^8 + 13942*T1^6*T2^8 - 12707*T1^7*T2^8 - 3372*T1^8*T2^8 + 
     15923*T1^9*T2^8 - 10314*T1^10*T2^8 + 1155*T1^11*T2^8 + 4548*T1^12*T2^8 - 
     2114*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 809*T1^3*T2^9 - 249*T1^4*T2^9 + 
     6169*T1^5*T2^9 - 8551*T1^6*T2^9 - 3016*T1^7*T2^9 + 15923*T1^8*T2^9 - 
     16775*T1^9*T2^9 + 1156*T1^10*T2^9 + 7079*T1^11*T2^9 - 7832*T1^12*T2^9 + 
     1291*T1^13*T2^9 + 863*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 28*T1^3*T2^10 + 988*T1^4*T2^10 - 2783*T1^5*T2^10 - 
     182*T1^6*T2^10 + 9425*T1^7*T2^10 - 10314*T1^8*T2^10 + 1156*T1^9*T2^10 + 
     13710*T1^10*T2^10 - 13243*T1^11*T2^10 + 6762*T1^12*T2^10 + 
     1485*T1^13*T2^10 - 1792*T1^14*T2^10 + 224*T1^15*T2^10 + 88*T1^16*T2^10 + 
     40*T1^3*T2^11 - 280*T1^4*T2^11 + 3*T1^5*T2^11 + 2817*T1^6*T2^11 - 
     6049*T1^7*T2^11 + 1155*T1^8*T2^11 + 7079*T1^9*T2^11 - 
     13243*T1^10*T2^11 + 6291*T1^11*T2^11 + 820*T1^12*T2^11 - 
     4781*T1^13*T2^11 + 1926*T1^14*T2^11 + 91*T1^15*T2^11 - 160*T1^16*T2^11 + 
     280*T1^5*T2^12 - 996*T1^6*T2^12 + 199*T1^7*T2^12 + 4548*T1^8*T2^12 - 
     7832*T1^9*T2^12 + 6762*T1^10*T2^12 + 820*T1^11*T2^12 - 
     4524*T1^12*T2^12 + 4119*T1^13*T2^12 - 604*T1^14*T2^12 - 
     532*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 28*T1^6*T2^13 + 
     819*T1^7*T2^13 - 2114*T1^8*T2^13 + 1291*T1^9*T2^13 + 1485*T1^10*T2^13 - 
     4781*T1^11*T2^13 + 4119*T1^12*T2^13 - 1660*T1^13*T2^13 - 
     589*T1^14*T2^13 + 658*T1^15*T2^13 - 160*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 26*T1^8*T2^14 + 863*T1^9*T2^14 - 1792*T1^10*T2^14 + 
     1926*T1^11*T2^14 - 604*T1^12*T2^14 - 589*T1^13*T2^14 + 950*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 224*T1^10*T2^15 + 91*T1^11*T2^15 - 532*T1^12*T2^15 + 
     658*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 160*T1^11*T2^16 + 
     196*T1^12*T2^16 - 160*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 31] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 215*T1 - 546*T1^2 + 711*T1^3 - 546*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2495*T1^2*T2 - 1933*T1^3*T2 + 43*T1^4*T2 + 
     1299*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 546*T2^2 + 2495*T1*T2^2 - 
     2401*T1^2*T2^2 - 3938*T1^3*T2^2 + 9131*T1^4*T2^2 - 7898*T1^5*T2^2 + 
     1691*T1^6*T2^2 + 779*T1^7*T2^2 - 282*T1^8*T2^2 + 711*T2^3 - 
     1933*T1*T2^3 - 3938*T1^2*T2^3 + 17391*T1^3*T2^3 - 17136*T1^4*T2^3 + 
     3600*T1^5*T2^3 + 9267*T1^6*T2^3 - 6017*T1^7*T2^3 + 563*T1^8*T2^3 + 
     195*T1^9*T2^3 - 546*T2^4 + 43*T1*T2^4 + 9131*T1^2*T2^4 - 
     17136*T1^3*T2^4 - 2043*T1^4*T2^4 + 24923*T1^5*T2^4 - 27399*T1^6*T2^4 + 
     6170*T1^7*T2^4 + 3309*T1^8*T2^4 - 1153*T1^9*T2^4 - 18*T1^10*T2^4 + 
     215*T2^5 + 1299*T1*T2^5 - 7898*T1^2*T2^5 + 3600*T1^3*T2^5 + 
     24923*T1^4*T2^5 - 35354*T1^5*T2^5 + 15238*T1^6*T2^5 + 13274*T1^7*T2^5 - 
     11996*T1^8*T2^5 + 1705*T1^9*T2^5 + 415*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 1691*T1^2*T2^6 + 9267*T1^3*T2^6 - 
     27399*T1^4*T2^6 + 15238*T1^5*T2^6 + 15264*T1^6*T2^6 - 29458*T1^7*T2^6 + 
     11843*T1^8*T2^6 + 2229*T1^9*T2^6 - 1949*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 779*T1^2*T2^7 - 6017*T1^3*T2^7 + 
     6170*T1^4*T2^7 + 13274*T1^5*T2^7 - 29458*T1^6*T2^7 + 21134*T1^7*T2^7 + 
     1625*T1^8*T2^7 - 9426*T1^9*T2^7 + 3586*T1^10*T2^7 - 105*T1^11*T2^7 - 
     97*T1^12*T2^7 - 282*T1^2*T2^8 + 563*T1^3*T2^8 + 3309*T1^4*T2^8 - 
     11996*T1^5*T2^8 + 11843*T1^6*T2^8 + 1625*T1^7*T2^8 - 13513*T1^8*T2^8 + 
     11310*T1^9*T2^8 - 2513*T1^10*T2^8 - 633*T1^11*T2^8 + 246*T1^12*T2^8 + 
     195*T1^3*T2^9 - 1153*T1^4*T2^9 + 1705*T1^5*T2^9 + 2229*T1^6*T2^9 - 
     9426*T1^7*T2^9 + 11310*T1^8*T2^9 - 5895*T1^9*T2^9 - 374*T1^10*T2^9 + 
     1343*T1^11*T2^9 - 321*T1^12*T2^9 - 18*T1^4*T2^10 + 415*T1^5*T2^10 - 
     1949*T1^6*T2^10 + 3586*T1^7*T2^10 - 2513*T1^8*T2^10 - 374*T1^9*T2^10 + 
     2143*T1^10*T2^10 - 1301*T1^11*T2^10 + 246*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 105*T1^7*T2^11 - 633*T1^8*T2^11 + 1343*T1^9*T2^11 - 
     1301*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 246*T1^8*T2^12 - 321*T1^9*T2^12 + 246*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 32] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-17 + 111*T1 - 292*T1^2 + 387*T1^3 - 292*T1^4 + 111*T1^5 - 17*T1^6 + 
     111*T2 - 666*T1*T2 + 1521*T1^2*T2 - 1505*T1^3*T2 + 549*T1^4*T2 + 
     299*T1^5*T2 - 276*T1^6*T2 + 59*T1^7*T2 - 292*T2^2 + 1521*T1*T2^2 - 
     2519*T1^2*T2^2 + 142*T1^3*T2^2 + 3399*T1^4*T2^2 - 4210*T1^5*T2^2 + 
     1833*T1^6*T2^2 - 247*T1^7*T2^2 - 20*T1^8*T2^2 + 387*T2^3 - 
     1505*T1*T2^3 + 142*T1^2*T2^3 + 7634*T1^3*T2^3 - 13061*T1^4*T2^3 + 
     9167*T1^5*T2^3 - 450*T1^6*T2^3 - 2408*T1^7*T2^3 + 1121*T1^8*T2^3 - 
     153*T1^9*T2^3 - 292*T2^4 + 549*T1*T2^4 + 3399*T1^2*T2^4 - 
     13061*T1^3*T2^4 + 12848*T1^4*T2^4 + 2366*T1^5*T2^4 - 15888*T1^6*T2^4 + 
     12139*T1^7*T2^4 - 2563*T1^8*T2^4 - 647*T1^9*T2^4 + 252*T1^10*T2^4 + 
     111*T2^5 + 299*T1*T2^5 - 4210*T1^2*T2^5 + 9167*T1^3*T2^5 + 
     2366*T1^4*T2^5 - 27298*T1^5*T2^5 + 33200*T1^6*T2^5 - 11642*T1^7*T2^5 - 
     7117*T1^8*T2^5 + 5548*T1^9*T2^5 - 663*T1^10*T2^5 - 149*T1^11*T2^5 - 
     17*T2^6 - 276*T1*T2^6 + 1833*T1^2*T2^6 - 450*T1^3*T2^6 - 
     15888*T1^4*T2^6 + 33200*T1^5*T2^6 - 15384*T1^6*T2^6 - 19464*T1^7*T2^6 + 
     28492*T1^8*T2^6 - 8602*T1^9*T2^6 - 1515*T1^10*T2^6 + 764*T1^11*T2^6 + 
     31*T1^12*T2^6 + 59*T1*T2^7 - 247*T1^2*T2^7 - 2408*T1^3*T2^7 + 
     12139*T1^4*T2^7 - 11642*T1^5*T2^7 - 19464*T1^6*T2^7 + 41034*T1^7*T2^7 - 
     25650*T1^8*T2^7 - 4145*T1^9*T2^7 + 7350*T1^10*T2^7 - 1209*T1^11*T2^7 - 
     201*T1^12*T2^7 - 20*T1^2*T2^8 + 1121*T1^3*T2^8 - 2563*T1^4*T2^8 - 
     7117*T1^5*T2^8 + 28492*T1^6*T2^8 - 25650*T1^7*T2^8 - 244*T1^8*T2^8 + 
     18083*T1^9*T2^8 - 8525*T1^10*T2^8 - 75*T1^11*T2^8 + 524*T1^12*T2^8 - 
     153*T1^3*T2^9 - 647*T1^4*T2^9 + 5548*T1^5*T2^9 - 8602*T1^6*T2^9 - 
     4145*T1^7*T2^9 + 18083*T1^8*T2^9 - 16686*T1^9*T2^9 + 2998*T1^10*T2^9 + 
     1979*T1^11*T2^9 - 693*T1^12*T2^9 + 252*T1^4*T2^10 - 663*T1^5*T2^10 - 
     1515*T1^6*T2^10 + 7350*T1^7*T2^10 - 8525*T1^8*T2^10 + 2998*T1^9*T2^10 + 
     2837*T1^10*T2^10 - 2431*T1^11*T2^10 + 524*T1^12*T2^10 - 149*T1^5*T2^11 + 
     764*T1^6*T2^11 - 1209*T1^7*T2^11 - 75*T1^8*T2^11 + 1979*T1^9*T2^11 - 
     2431*T1^10*T2^11 + 1154*T1^11*T2^11 - 201*T1^12*T2^11 + 31*T1^6*T2^12 - 
     201*T1^7*T2^12 + 524*T1^8*T2^12 - 693*T1^9*T2^12 + 524*T1^10*T2^12 - 
     201*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 33] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 658*T1^3*T2 + 
     532*T1^4*T2 - 91*T1^5*T2 - 224*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 599*T1^3*T2^2 + 
     596*T1^4*T2^2 - 1920*T1^5*T2^2 + 1784*T1^6*T2^2 - 853*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 160*T2^3 - 658*T1*T2^3 + 
     599*T1^2*T2^3 + 1636*T1^3*T2^3 - 4169*T1^4*T2^3 + 4815*T1^5*T2^3 - 
     1451*T1^6*T2^3 - 1341*T1^7*T2^3 + 2090*T1^8*T2^3 - 809*T1^9*T2^3 + 
     28*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 532*T1*T2^4 + 596*T1^2*T2^4 - 
     4169*T1^3*T2^4 + 4796*T1^4*T2^4 - 700*T1^5*T2^4 - 7126*T1^6*T2^4 + 
     7952*T1^7*T2^4 - 4276*T1^8*T2^4 - 249*T1^9*T2^4 + 988*T1^10*T2^4 - 
     280*T1^11*T2^4 + 160*T2^5 - 91*T1*T2^5 - 1920*T1^2*T2^5 + 
     4815*T1^3*T2^5 - 700*T1^4*T2^5 - 7827*T1^5*T2^5 + 14117*T1^6*T2^5 - 
     6205*T1^7*T2^5 - 2691*T1^8*T2^5 + 6169*T1^9*T2^5 - 2783*T1^10*T2^5 + 
     3*T1^11*T2^5 + 280*T1^12*T2^5 - 40*T1^13*T2^5 - 88*T2^6 - 224*T1*T2^6 + 
     1784*T1^2*T2^6 - 1451*T1^3*T2^6 - 7126*T1^4*T2^6 + 14117*T1^5*T2^6 - 
     10082*T1^6*T2^6 - 7188*T1^7*T2^6 + 13942*T1^8*T2^6 - 8551*T1^9*T2^6 - 
     182*T1^10*T2^6 + 2817*T1^11*T2^6 - 996*T1^12*T2^6 - 28*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 853*T1^2*T2^7 - 1341*T1^3*T2^7 + 
     7952*T1^4*T2^7 - 6205*T1^5*T2^7 - 7188*T1^6*T2^7 + 19991*T1^7*T2^7 - 
     12707*T1^8*T2^7 - 3016*T1^9*T2^7 + 9425*T1^10*T2^7 - 6049*T1^11*T2^7 + 
     199*T1^12*T2^7 + 819*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 2090*T1^3*T2^8 - 4276*T1^4*T2^8 - 
     2691*T1^5*T2^8 + 13942*T1^6*T2^8 - 12707*T1^7*T2^8 - 3372*T1^8*T2^8 + 
     15923*T1^9*T2^8 - 10314*T1^10*T2^8 + 1155*T1^11*T2^8 + 4548*T1^12*T2^8 - 
     2114*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 809*T1^3*T2^9 - 249*T1^4*T2^9 + 
     6169*T1^5*T2^9 - 8551*T1^6*T2^9 - 3016*T1^7*T2^9 + 15923*T1^8*T2^9 - 
     16775*T1^9*T2^9 + 1156*T1^10*T2^9 + 7079*T1^11*T2^9 - 7832*T1^12*T2^9 + 
     1291*T1^13*T2^9 + 863*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 28*T1^3*T2^10 + 988*T1^4*T2^10 - 2783*T1^5*T2^10 - 
     182*T1^6*T2^10 + 9425*T1^7*T2^10 - 10314*T1^8*T2^10 + 1156*T1^9*T2^10 + 
     13710*T1^10*T2^10 - 13243*T1^11*T2^10 + 6762*T1^12*T2^10 + 
     1485*T1^13*T2^10 - 1792*T1^14*T2^10 + 224*T1^15*T2^10 + 88*T1^16*T2^10 + 
     40*T1^3*T2^11 - 280*T1^4*T2^11 + 3*T1^5*T2^11 + 2817*T1^6*T2^11 - 
     6049*T1^7*T2^11 + 1155*T1^8*T2^11 + 7079*T1^9*T2^11 - 
     13243*T1^10*T2^11 + 6291*T1^11*T2^11 + 820*T1^12*T2^11 - 
     4781*T1^13*T2^11 + 1926*T1^14*T2^11 + 91*T1^15*T2^11 - 160*T1^16*T2^11 + 
     280*T1^5*T2^12 - 996*T1^6*T2^12 + 199*T1^7*T2^12 + 4548*T1^8*T2^12 - 
     7832*T1^9*T2^12 + 6762*T1^10*T2^12 + 820*T1^11*T2^12 - 
     4524*T1^12*T2^12 + 4119*T1^13*T2^12 - 604*T1^14*T2^12 - 
     532*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 28*T1^6*T2^13 + 
     819*T1^7*T2^13 - 2114*T1^8*T2^13 + 1291*T1^9*T2^13 + 1485*T1^10*T2^13 - 
     4781*T1^11*T2^13 + 4119*T1^12*T2^13 - 1660*T1^13*T2^13 - 
     589*T1^14*T2^13 + 658*T1^15*T2^13 - 160*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 26*T1^8*T2^14 + 863*T1^9*T2^14 - 1792*T1^10*T2^14 + 
     1926*T1^11*T2^14 - 604*T1^12*T2^14 - 589*T1^13*T2^14 + 950*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 224*T1^10*T2^15 + 91*T1^11*T2^15 - 532*T1^12*T2^15 + 
     658*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 160*T1^11*T2^16 + 
     196*T1^12*T2^16 - 160*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 34] -> 
  {-((2 - 9*T + 16*T^2 - 20*T^3 + 21*T^4 - 20*T^5 + 16*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-57 + 255*T1 - 450*T1^2 + 561*T1^3 - 589*T1^4 + 561*T1^5 - 
      450*T1^6 + 255*T1^7 - 57*T1^8 + 255*T2 - 924*T1*T2 + 1041*T1^2*T2 - 
      789*T1^3*T2 + 486*T1^4*T2 - 252*T1^5*T2 - 141*T1^6*T2 + 591*T1^7*T2 - 
      726*T1^8*T2 + 219*T1^9*T2 - 450*T2^2 + 1041*T1*T2^2 + 492*T1^2*T2^2 - 
      1888*T1^3*T2^2 + 2507*T1^4*T2^2 - 2592*T1^5*T2^2 + 2827*T1^6*T2^2 - 
      2592*T1^7*T2^2 + 1388*T1^8*T2^2 + 465*T1^9*T2^2 - 322*T1^10*T2^2 + 
      561*T2^3 - 789*T1*T2^3 - 1888*T1^2*T2^3 + 2174*T1^3*T2^3 - 
      1439*T1^4*T2^3 + 761*T1^5*T2^3 - 823*T1^6*T2^3 + 145*T1^7*T2^3 + 
      1214*T1^8*T2^3 - 2224*T1^9*T2^3 + 3*T1^10*T2^3 + 321*T1^11*T2^3 - 
      589*T2^4 + 486*T1*T2^4 + 2507*T1^2*T2^4 - 1439*T1^3*T2^4 + 
      996*T1^4*T2^4 - 1167*T1^5*T2^4 + 1864*T1^6*T2^4 - 1215*T1^7*T2^4 + 
      228*T1^8*T2^4 + 241*T1^9*T2^4 + 1955*T1^10*T2^4 - 306*T1^11*T2^4 - 
      253*T1^12*T2^4 + 561*T2^5 - 252*T1*T2^5 - 2592*T1^2*T2^5 + 
      761*T1^3*T2^5 - 1167*T1^4*T2^5 + 1457*T1^5*T2^5 - 1719*T1^6*T2^5 + 
      573*T1^7*T2^5 + 367*T1^8*T2^5 - 893*T1^9*T2^5 - 791*T1^10*T2^5 - 
      1329*T1^11*T2^5 + 414*T1^12*T2^5 + 161*T1^13*T2^5 - 450*T2^6 - 
      141*T1*T2^6 + 2827*T1^2*T2^6 - 823*T1^3*T2^6 + 1864*T1^4*T2^6 - 
      1719*T1^5*T2^6 + 1410*T1^6*T2^6 - 154*T1^7*T2^6 - 462*T1^8*T2^6 + 
      729*T1^9*T2^6 + 904*T1^10*T2^6 + 809*T1^11*T2^6 + 763*T1^12*T2^6 - 
      429*T1^13*T2^6 - 66*T1^14*T2^6 + 255*T2^7 + 591*T1*T2^7 - 
      2592*T1^2*T2^7 + 145*T1^3*T2^7 - 1215*T1^4*T2^7 + 573*T1^5*T2^7 - 
      154*T1^6*T2^7 - 434*T1^7*T2^7 + 292*T1^8*T2^7 - 10*T1^9*T2^7 - 
      1407*T1^10*T2^7 - 201*T1^11*T2^7 - 1055*T1^12*T2^7 - 48*T1^13*T2^7 + 
      285*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 726*T1*T2^8 + 
      1388*T1^2*T2^8 + 1214*T1^3*T2^8 + 228*T1^4*T2^8 + 367*T1^5*T2^8 - 
      462*T1^6*T2^8 + 292*T1^7*T2^8 + 180*T1^8*T2^8 - 456*T1^9*T2^8 + 
      986*T1^10*T2^8 + 653*T1^11*T2^8 + 364*T1^12*T2^8 + 734*T1^13*T2^8 - 
      426*T1^14*T2^8 - 42*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 
      465*T1^2*T2^9 - 2224*T1^3*T2^9 + 241*T1^4*T2^9 - 893*T1^5*T2^9 + 
      729*T1^6*T2^9 - 10*T1^7*T2^9 - 456*T1^8*T2^9 + 270*T1^9*T2^9 + 
      134*T1^10*T2^9 - 1251*T1^11*T2^9 + 121*T1^12*T2^9 - 959*T1^13*T2^9 + 
      320*T1^14*T2^9 + 159*T1^15*T2^9 - 33*T1^16*T2^9 - 322*T1^2*T2^10 + 
      3*T1^3*T2^10 + 1955*T1^4*T2^10 - 791*T1^5*T2^10 + 904*T1^6*T2^10 - 
      1407*T1^7*T2^10 + 986*T1^8*T2^10 + 134*T1^9*T2^10 - 886*T1^10*T2^10 + 
      1041*T1^11*T2^10 - 56*T1^12*T2^10 + 841*T1^13*T2^10 - 109*T1^14*T2^10 - 
      285*T1^15*T2^10 + 62*T1^16*T2^10 + 321*T1^3*T2^11 - 306*T1^4*T2^11 - 
      1329*T1^5*T2^11 + 809*T1^6*T2^11 - 201*T1^7*T2^11 + 653*T1^8*T2^11 - 
      1251*T1^9*T2^11 + 1041*T1^10*T2^11 - 437*T1^11*T2^11 + 73*T1^12*T2^11 - 
      743*T1^13*T2^11 - 66*T1^14*T2^11 + 360*T1^15*T2^11 - 79*T1^16*T2^11 - 
      253*T1^4*T2^12 + 414*T1^5*T2^12 + 763*T1^6*T2^12 - 1055*T1^7*T2^12 + 
      364*T1^8*T2^12 + 121*T1^9*T2^12 - 56*T1^10*T2^12 + 73*T1^11*T2^12 - 
      404*T1^12*T2^12 + 625*T1^13*T2^12 + 211*T1^14*T2^12 - 378*T1^15*T2^12 + 
      83*T1^16*T2^12 + 161*T1^5*T2^13 - 429*T1^6*T2^13 - 48*T1^7*T2^13 + 
      734*T1^8*T2^13 - 959*T1^9*T2^13 + 841*T1^10*T2^13 - 743*T1^11*T2^13 + 
      625*T1^12*T2^13 - 226*T1^13*T2^13 - 384*T1^14*T2^13 + 363*T1^15*T2^13 - 
      79*T1^16*T2^13 - 66*T1^6*T2^14 + 285*T1^7*T2^14 - 426*T1^8*T2^14 + 
      320*T1^9*T2^14 - 109*T1^10*T2^14 - 66*T1^11*T2^14 + 211*T1^12*T2^14 - 
      384*T1^13*T2^14 + 470*T1^14*T2^14 - 291*T1^15*T2^14 + 62*T1^16*T2^14 + 
      3*T1^7*T2^15 - 42*T1^8*T2^15 + 159*T1^9*T2^15 - 285*T1^10*T2^15 + 
      360*T1^11*T2^15 - 378*T1^12*T2^15 + 363*T1^13*T2^15 - 291*T1^14*T2^15 + 
      156*T1^15*T2^15 - 33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 
      62*T1^10*T2^16 - 79*T1^11*T2^16 + 83*T1^12*T2^16 - 79*T1^13*T2^16 + 
      62*T1^14*T2^16 - 33*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 35] -> 
  {-((4 - 20*T + 40*T^2 - 49*T^3 + 40*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1664*T1 - 3292*T1^2 + 4016*T1^3 - 3292*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6916*T1*T2 + 9726*T1^2*T2 - 6826*T1^3*T2 + 
      294*T1^4*T2 + 4926*T1^5*T2 - 4996*T1^6*T2 + 1344*T1^7*T2 - 3292*T2^2 + 
      9726*T1*T2^2 - 1572*T1^2*T2^2 - 15777*T1^3*T2^2 + 27788*T1^4*T2^2 - 
      25057*T1^5*T2^2 + 9948*T1^6*T2^2 + 3326*T1^7*T2^2 - 2012*T1^8*T2^2 + 
      4016*T2^3 - 6826*T1*T2^3 - 15777*T1^2*T2^3 + 34162*T1^3*T2^3 - 
      29694*T1^4*T2^3 + 6226*T1^5*T2^3 + 17326*T1^6*T2^3 - 20097*T1^7*T2^3 + 
      1734*T1^8*T2^3 + 1664*T1^9*T2^3 - 3292*T2^4 + 294*T1*T2^4 + 
      27788*T1^2*T2^4 - 29694*T1^3*T2^4 + 5430*T1^4*T2^4 + 21334*T1^5*T2^4 - 
      28370*T1^6*T2^4 + 9506*T1^7*T2^4 + 14188*T1^8*T2^4 - 4666*T1^9*T2^4 - 
      732*T1^10*T2^4 + 1664*T2^5 + 4926*T1*T2^5 - 25057*T1^2*T2^5 + 
      6226*T1^3*T2^5 + 21334*T1^4*T2^5 - 28708*T1^5*T2^5 + 11332*T1^6*T2^5 + 
      14934*T1^7*T2^5 - 23134*T1^8*T2^5 - 897*T1^9*T2^5 + 3326*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4996*T1*T2^6 + 9948*T1^2*T2^6 + 
      17326*T1^3*T2^6 - 28370*T1^4*T2^6 + 11332*T1^5*T2^6 + 14328*T1^6*T2^6 - 
      25788*T1^7*T2^6 + 12270*T1^8*T2^6 + 12622*T1^9*T2^6 - 5412*T1^10*T2^6 - 
      516*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 3326*T1^2*T2^7 - 
      20097*T1^3*T2^7 + 9506*T1^4*T2^7 + 14934*T1^5*T2^7 - 25788*T1^6*T2^7 + 
      14252*T1^7*T2^7 + 8534*T1^8*T2^7 - 19854*T1^9*T2^7 + 4063*T1^10*T2^7 + 
      1726*T1^11*T2^7 - 256*T1^12*T2^7 - 2012*T1^2*T2^8 + 1734*T1^3*T2^8 + 
      14188*T1^4*T2^8 - 23134*T1^5*T2^8 + 12270*T1^6*T2^8 + 8534*T1^7*T2^8 - 
      21530*T1^8*T2^8 + 16066*T1^9*T2^8 + 588*T1^10*T2^8 - 3226*T1^11*T2^8 + 
      548*T1^12*T2^8 + 1664*T1^3*T2^9 - 4666*T1^4*T2^9 - 897*T1^5*T2^9 + 
      12622*T1^6*T2^9 - 19854*T1^7*T2^9 + 16066*T1^8*T2^9 - 4214*T1^9*T2^9 - 
      5217*T1^10*T2^9 + 3894*T1^11*T2^9 - 688*T1^12*T2^9 - 732*T1^4*T2^10 + 
      3326*T1^5*T2^10 - 5412*T1^6*T2^10 + 4063*T1^7*T2^10 + 588*T1^8*T2^10 - 
      5217*T1^9*T2^10 + 6108*T1^10*T2^10 - 3074*T1^11*T2^10 + 
      548*T1^12*T2^10 + 64*T1^5*T2^11 - 516*T1^6*T2^11 + 1726*T1^7*T2^11 - 
      3226*T1^8*T2^11 + 3894*T1^9*T2^11 - 3074*T1^10*T2^11 + 
      1404*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      548*T1^8*T2^12 - 688*T1^9*T2^12 + 548*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 36] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 11*T^3 + 11*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 588*T1^2 + 832*T1^3 - 911*T1^4 + 832*T1^5 - 
      588*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1166*T1*T2 + 1731*T1^2*T2 - 
      1656*T1^3*T2 + 1005*T1^4*T2 - 255*T1^5*T2 - 636*T1^6*T2 + 
      1111*T1^7*T2 - 926*T1^8*T2 + 243*T1^9*T2 - 588*T2^2 + 1731*T1*T2^2 - 
      559*T1^2*T2^2 - 1734*T1^3*T2^2 + 3928*T1^4*T2^2 - 4703*T1^5*T2^2 + 
      4936*T1^6*T2^2 - 3414*T1^7*T2^2 + 1037*T1^8*T2^2 + 891*T1^9*T2^2 - 
      420*T1^10*T2^2 + 832*T2^3 - 1656*T1*T2^3 - 1734*T1^2*T2^3 + 
      4020*T1^3*T2^3 - 4474*T1^4*T2^3 + 2606*T1^5*T2^3 - 1444*T1^6*T2^3 - 
      1504*T1^7*T2^3 + 3270*T1^8*T2^3 - 2994*T1^9*T2^3 - 276*T1^10*T2^3 + 
      472*T1^11*T2^3 - 911*T2^4 + 1005*T1*T2^4 + 3928*T1^2*T2^4 - 
      4474*T1^3*T2^4 + 3753*T1^4*T2^4 - 1795*T1^5*T2^4 + 2247*T1^6*T2^4 + 
      125*T1^7*T2^4 - 63*T1^8*T2^4 - 994*T1^9*T2^4 + 3472*T1^10*T2^4 - 
      435*T1^11*T2^4 - 383*T1^12*T2^4 + 832*T2^5 - 255*T1*T2^5 - 
      4703*T1^2*T2^5 + 2606*T1^3*T2^5 - 1795*T1^4*T2^5 + 674*T1^5*T2^5 - 
      2176*T1^6*T2^5 - 676*T1^7*T2^5 - 166*T1^8*T2^5 + 455*T1^9*T2^5 - 
      1624*T1^10*T2^5 - 2363*T1^11*T2^5 + 765*T1^12*T2^5 + 232*T1^13*T2^5 - 
      588*T2^6 - 636*T1*T2^6 + 4936*T1^2*T2^6 - 1444*T1^3*T2^6 + 
      2247*T1^4*T2^6 - 2176*T1^5*T2^6 + 3362*T1^6*T2^6 + 468*T1^7*T2^6 + 
      782*T1^8*T2^6 - 256*T1^9*T2^6 + 897*T1^10*T2^6 + 2336*T1^11*T2^6 + 
      1000*T1^12*T2^6 - 756*T1^13*T2^6 - 84*T1^14*T2^6 + 283*T2^7 + 
      1111*T1*T2^7 - 3414*T1^2*T2^7 - 1504*T1^3*T2^7 + 125*T1^4*T2^7 - 
      676*T1^5*T2^7 + 468*T1^6*T2^7 - 3262*T1^7*T2^7 - 112*T1^8*T2^7 + 
      348*T1^9*T2^7 - 1336*T1^10*T2^7 - 805*T1^11*T2^7 - 2434*T1^12*T2^7 + 
      366*T1^13*T2^7 + 411*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      926*T1*T2^8 + 1037*T1^2*T2^8 + 3270*T1^3*T2^8 - 63*T1^4*T2^8 - 
      166*T1^5*T2^8 + 782*T1^6*T2^8 - 112*T1^7*T2^8 + 3864*T1^8*T2^8 - 
      2712*T1^9*T2^8 + 2138*T1^10*T2^8 - 46*T1^11*T2^8 + 2037*T1^12*T2^8 + 
      870*T1^13*T2^8 - 763*T1^14*T2^8 - 46*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 891*T1^2*T2^9 - 2994*T1^3*T2^9 - 994*T1^4*T2^9 + 
      455*T1^5*T2^9 - 256*T1^6*T2^9 + 348*T1^7*T2^9 - 2712*T1^8*T2^9 + 
      438*T1^9*T2^9 + 228*T1^10*T2^9 - 916*T1^11*T2^9 - 475*T1^12*T2^9 - 
      1924*T1^13*T2^9 + 786*T1^14*T2^9 + 191*T1^15*T2^9 - 37*T1^16*T2^9 - 
      420*T1^2*T2^10 - 276*T1^3*T2^10 + 3472*T1^4*T2^10 - 1624*T1^5*T2^10 + 
      897*T1^6*T2^10 - 1336*T1^7*T2^10 + 2138*T1^8*T2^10 + 228*T1^9*T2^10 - 
      442*T1^10*T2^10 + 584*T1^11*T2^10 - 453*T1^12*T2^10 + 
      2156*T1^13*T2^10 - 464*T1^14*T2^10 - 396*T1^15*T2^10 + 84*T1^16*T2^10 + 
      472*T1^3*T2^11 - 435*T1^4*T2^11 - 2363*T1^5*T2^11 + 2336*T1^6*T2^11 - 
      805*T1^7*T2^11 - 46*T1^8*T2^11 - 916*T1^9*T2^11 + 584*T1^10*T2^11 - 
      886*T1^11*T2^11 + 1445*T1^12*T2^11 - 1894*T1^13*T2^11 - 
      23*T1^14*T2^11 + 585*T1^15*T2^11 - 128*T1^16*T2^11 - 383*T1^4*T2^12 + 
      765*T1^5*T2^12 + 1000*T1^6*T2^12 - 2434*T1^7*T2^12 + 2037*T1^8*T2^12 - 
      475*T1^9*T2^12 - 453*T1^10*T2^12 + 1445*T1^11*T2^12 - 
      1779*T1^12*T2^12 + 1046*T1^13*T2^12 + 544*T1^14*T2^12 - 
      675*T1^15*T2^12 + 145*T1^16*T2^12 + 232*T1^5*T2^13 - 756*T1^6*T2^13 + 
      366*T1^7*T2^13 + 870*T1^8*T2^13 - 1924*T1^9*T2^13 + 2156*T1^10*T2^13 - 
      1894*T1^11*T2^13 + 1046*T1^12*T2^13 + 120*T1^13*T2^13 - 
      894*T1^14*T2^13 + 624*T1^15*T2^13 - 128*T1^16*T2^13 - 84*T1^6*T2^14 + 
      411*T1^7*T2^14 - 763*T1^8*T2^14 + 786*T1^9*T2^14 - 464*T1^10*T2^14 - 
      23*T1^11*T2^14 + 544*T1^12*T2^14 - 894*T1^13*T2^14 + 833*T1^14*T2^14 - 
      429*T1^15*T2^14 + 84*T1^16*T2^14 + 3*T1^7*T2^15 - 46*T1^8*T2^15 + 
      191*T1^9*T2^15 - 396*T1^10*T2^15 + 585*T1^11*T2^15 - 675*T1^12*T2^15 + 
      624*T1^13*T2^15 - 429*T1^14*T2^15 + 194*T1^15*T2^15 - 37*T1^16*T2^15 + 
      7*T1^8*T2^16 - 37*T1^9*T2^16 + 84*T1^10*T2^16 - 128*T1^11*T2^16 + 
      145*T1^12*T2^16 - 128*T1^13*T2^16 + 84*T1^14*T2^16 - 37*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 37] -> 
  {-((3 - 15*T + 30*T^2 - 37*T^3 + 30*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-144 + 714*T1 - 1416*T1^2 + 1742*T1^3 - 1416*T1^4 + 714*T1^5 - 
      144*T1^6 + 714*T2 - 2967*T1*T2 + 4173*T1^2*T2 - 2976*T1^3*T2 + 
      39*T1^4*T2 + 2148*T1^5*T2 - 2157*T1^6*T2 + 579*T1^7*T2 - 1416*T2^2 + 
      4173*T1*T2^2 - 627*T1^2*T2^2 - 6785*T1^3*T2^2 + 12333*T1^4*T2^2 - 
      10745*T1^5*T2^2 + 4233*T1^6*T2^2 + 1473*T1^7*T2^2 - 876*T1^8*T2^2 + 
      1742*T2^3 - 2976*T1*T2^3 - 6785*T1^2*T2^3 + 14577*T1^3*T2^3 - 
      13148*T1^4*T2^3 + 2017*T1^5*T2^3 + 7647*T1^6*T2^3 - 8675*T1^7*T2^3 + 
      669*T1^8*T2^3 + 743*T1^9*T2^3 - 1416*T2^4 + 39*T1*T2^4 + 
      12333*T1^2*T2^4 - 13148*T1^3*T2^4 + 3152*T1^4*T2^4 + 9816*T1^5*T2^4 - 
      11548*T1^6*T2^4 + 3502*T1^7*T2^4 + 6483*T1^8*T2^4 - 2031*T1^9*T2^4 - 
      336*T1^10*T2^4 + 714*T2^5 + 2148*T1*T2^5 - 10745*T1^2*T2^5 + 
      2017*T1^3*T2^5 + 9816*T1^4*T2^5 - 13841*T1^5*T2^5 + 3829*T1^6*T2^5 + 
      7116*T1^7*T2^5 - 10178*T1^8*T2^5 - 575*T1^9*T2^5 + 1473*T1^10*T2^5 + 
      39*T1^11*T2^5 - 144*T2^6 - 2157*T1*T2^6 + 4233*T1^2*T2^6 + 
      7647*T1^3*T2^6 - 11548*T1^4*T2^6 + 3829*T1^5*T2^6 + 9252*T1^6*T2^6 - 
      12281*T1^7*T2^6 + 5372*T1^8*T2^6 + 5649*T1^9*T2^6 - 2247*T1^10*T2^6 - 
      267*T1^11*T2^6 + 18*T1^12*T2^6 + 579*T1*T2^7 + 1473*T1^2*T2^7 - 
      8675*T1^3*T2^7 + 3502*T1^4*T2^7 + 7116*T1^5*T2^7 - 12281*T1^6*T2^7 + 
      5389*T1^7*T2^7 + 4416*T1^8*T2^7 - 8693*T1^9*T2^7 + 1495*T1^10*T2^7 + 
      798*T1^11*T2^7 - 96*T1^12*T2^7 - 876*T1^2*T2^8 + 669*T1^3*T2^8 + 
      6483*T1^4*T2^8 - 10178*T1^5*T2^8 + 5372*T1^6*T2^8 + 4416*T1^7*T2^8 - 
      9328*T1^8*T2^8 + 6472*T1^9*T2^8 + 633*T1^10*T2^8 - 1401*T1^11*T2^8 + 
      204*T1^12*T2^8 + 743*T1^3*T2^9 - 2031*T1^4*T2^9 - 575*T1^5*T2^9 + 
      5649*T1^6*T2^9 - 8693*T1^7*T2^9 + 6472*T1^8*T2^9 - 1281*T1^9*T2^9 - 
      2465*T1^10*T2^9 + 1614*T1^11*T2^9 - 256*T1^12*T2^9 - 336*T1^4*T2^10 + 
      1473*T1^5*T2^10 - 2247*T1^6*T2^10 + 1495*T1^7*T2^10 + 633*T1^8*T2^10 - 
      2465*T1^9*T2^10 + 2613*T1^10*T2^10 - 1227*T1^11*T2^10 + 
      204*T1^12*T2^10 + 39*T1^5*T2^11 - 267*T1^6*T2^11 + 798*T1^7*T2^11 - 
      1401*T1^8*T2^11 + 1614*T1^9*T2^11 - 1227*T1^10*T2^11 + 
      543*T1^11*T2^11 - 96*T1^12*T2^11 + 18*T1^6*T2^12 - 96*T1^7*T2^12 + 
      204*T1^8*T2^12 - 256*T1^9*T2^12 + 204*T1^10*T2^12 - 96*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 38] -> {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-228 + 1016*T1 - 1514*T1^2 + 1016*T1^3 - 228*T1^4 + 1016*T2 - 
      3804*T1*T2 + 3522*T1^2*T2 + 282*T1^3*T2 - 2220*T1^4*T2 + 728*T1^5*T2 - 
      1514*T2^2 + 3522*T1*T2^2 + 3635*T1^2*T2^2 - 11755*T1^3*T2^2 + 
      8603*T1^4*T2^2 - 366*T1^5*T2^2 - 650*T1^6*T2^2 + 1016*T2^3 + 
      282*T1*T2^3 - 11755*T1^2*T2^3 + 14832*T1^3*T2^3 - 2286*T1^4*T2^3 - 
      6895*T1^5*T2^3 + 2226*T1^6*T2^3 + 152*T1^7*T2^3 - 228*T2^4 - 
      2220*T1*T2^4 + 8603*T1^2*T2^4 - 2286*T1^3*T2^4 - 10920*T1^4*T2^4 + 
      11466*T1^5*T2^4 - 1333*T1^6*T2^4 - 780*T1^7*T2^4 + 28*T1^8*T2^4 + 
      728*T1*T2^5 - 366*T1^2*T2^5 - 6895*T1^3*T2^5 + 11466*T1^4*T2^5 - 
      5652*T1^5*T2^5 - 2035*T1^6*T2^5 + 1578*T1^7*T2^5 - 136*T1^8*T2^5 - 
      650*T1^2*T2^6 + 2226*T1^3*T2^6 - 1333*T1^4*T2^6 - 2035*T1^5*T2^6 + 
      3635*T1^6*T2^6 - 1662*T1^7*T2^6 + 214*T1^8*T2^6 + 152*T1^3*T2^7 - 
      780*T1^4*T2^7 + 1578*T1^5*T2^7 - 1662*T1^6*T2^7 + 804*T1^7*T2^7 - 
      136*T1^8*T2^7 + 28*T1^4*T2^8 - 136*T1^5*T2^8 + 214*T1^6*T2^8 - 
      136*T1^7*T2^8 + 28*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 39] -> 
  {-((1 - 7*T + 21*T^2 - 40*T^3 + 49*T^4 - 40*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 63*T1^2 + 120*T1^3 - 147*T1^4 + 120*T1^5 - 
      63*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 343*T1^2*T2 - 
      546*T1^3*T2 + 469*T1^4*T2 - 154*T1^5*T2 - 119*T1^6*T2 + 147*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 63*T2^2 + 343*T1*T2^2 - 654*T1^2*T2^2 + 
      596*T1^3*T2^2 + 418*T1^4*T2^2 - 1472*T1^5*T2^2 + 1594*T1^6*T2^2 - 
      790*T1^7*T2^2 + 186*T1^8*T2^2 + 49*T1^9*T2^2 - 21*T1^10*T2^2 + 
      120*T2^3 - 546*T1*T2^3 + 596*T1^2*T2^3 + 361*T1^3*T2^3 - 
      2810*T1^4*T2^3 + 3719*T1^5*T2^3 - 2044*T1^6*T2^3 - 563*T1^7*T2^3 + 
      1165*T1^8*T2^3 - 748*T1^9*T2^3 + 147*T1^10*T2^3 - 147*T2^4 + 
      469*T1*T2^4 + 418*T1^2*T2^4 - 2810*T1^3*T2^4 + 6110*T1^4*T2^4 - 
      4518*T1^5*T2^4 - 810*T1^6*T2^4 + 4694*T1^7*T2^4 - 2962*T1^8*T2^4 + 
      550*T1^9*T2^4 + 614*T1^10*T2^4 - 343*T1^11*T2^4 + 49*T1^12*T2^4 + 
      120*T2^5 - 154*T1*T2^5 - 1472*T1^2*T2^5 + 3719*T1^3*T2^5 - 
      4518*T1^4*T2^5 - 2143*T1^5*T2^5 + 9222*T1^6*T2^5 - 8369*T1^7*T2^5 - 
      327*T1^8*T2^5 + 4351*T1^9*T2^5 - 3170*T1^10*T2^5 + 691*T1^11*T2^5 + 
      217*T1^12*T2^5 - 80*T1^13*T2^5 - 63*T2^6 - 119*T1*T2^6 + 
      1594*T1^2*T2^6 - 2044*T1^3*T2^6 - 810*T1^4*T2^6 + 9222*T1^5*T2^6 - 
      11044*T1^6*T2^6 + 220*T1^7*T2^6 + 12140*T1^8*T2^6 - 9972*T1^9*T2^6 + 
      1724*T1^10*T2^6 + 2030*T1^11*T2^6 - 1542*T1^12*T2^6 + 119*T1^13*T2^6 + 
      63*T1^14*T2^6 + 21*T2^7 + 147*T1*T2^7 - 790*T1^2*T2^7 - 563*T1^3*T2^7 + 
      4694*T1^4*T2^7 - 8369*T1^5*T2^7 + 220*T1^6*T2^7 + 17846*T1^7*T2^7 - 
      23062*T1^8*T2^7 + 7766*T1^9*T2^7 + 6016*T1^10*T2^7 - 5547*T1^11*T2^7 + 
      1642*T1^12*T2^7 + 806*T1^13*T2^7 - 245*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 186*T1^2*T2^8 + 1165*T1^3*T2^8 - 2962*T1^4*T2^8 - 
      327*T1^5*T2^8 + 12140*T1^6*T2^8 - 23062*T1^7*T2^8 + 9768*T1^8*T2^8 + 
      14150*T1^9*T2^8 - 20380*T1^10*T2^8 + 7199*T1^11*T2^8 + 314*T1^12*T2^8 - 
      2129*T1^13*T2^8 + 60*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 49*T1^2*T2^9 - 748*T1^3*T2^9 + 550*T1^4*T2^9 + 
      4351*T1^5*T2^9 - 9972*T1^6*T2^9 + 7766*T1^7*T2^9 + 14150*T1^8*T2^9 - 
      26758*T1^9*T2^9 + 15312*T1^10*T2^9 + 4413*T1^11*T2^9 - 
      5890*T1^12*T2^9 + 2755*T1^13*T2^9 + 848*T1^14*T2^9 - 343*T1^15*T2^9 - 
      35*T1^16*T2^9 - 21*T1^2*T2^10 + 147*T1^3*T2^10 + 614*T1^4*T2^10 - 
      3170*T1^5*T2^10 + 1724*T1^6*T2^10 + 6016*T1^7*T2^10 - 
      20380*T1^8*T2^10 + 15312*T1^9*T2^10 + 2804*T1^10*T2^10 - 
      13178*T1^11*T2^10 + 4258*T1^12*T2^10 + 904*T1^13*T2^10 - 
      2522*T1^14*T2^10 + 385*T1^15*T2^10 + 105*T1^16*T2^10 - 343*T1^4*T2^11 + 
      691*T1^5*T2^11 + 2030*T1^6*T2^11 - 5547*T1^7*T2^11 + 7199*T1^8*T2^11 + 
      4413*T1^9*T2^11 - 13178*T1^10*T2^11 + 9015*T1^11*T2^11 + 
      3322*T1^12*T2^11 - 4859*T1^13*T2^11 + 2854*T1^14*T2^11 + 
      28*T1^15*T2^11 - 200*T1^16*T2^11 + 49*T1^4*T2^12 + 217*T1^5*T2^12 - 
      1542*T1^6*T2^12 + 1642*T1^7*T2^12 + 314*T1^8*T2^12 - 5890*T1^9*T2^12 + 
      4258*T1^10*T2^12 + 3322*T1^11*T2^12 - 8758*T1^12*T2^12 + 
      5002*T1^13*T2^12 - 1346*T1^14*T2^12 - 595*T1^15*T2^12 + 
      245*T1^16*T2^12 - 80*T1^5*T2^13 + 119*T1^6*T2^13 + 806*T1^7*T2^13 - 
      2129*T1^8*T2^13 + 2755*T1^9*T2^13 + 904*T1^10*T2^13 - 
      4859*T1^11*T2^13 + 5002*T1^12*T2^13 - 1325*T1^13*T2^13 - 
      538*T1^14*T2^13 + 812*T1^15*T2^13 - 200*T1^16*T2^13 + 63*T1^6*T2^14 - 
      245*T1^7*T2^14 + 60*T1^8*T2^14 + 848*T1^9*T2^14 - 2522*T1^10*T2^14 + 
      2854*T1^11*T2^14 - 1346*T1^12*T2^14 - 538*T1^13*T2^14 + 
      900*T1^14*T2^14 - 539*T1^15*T2^14 + 105*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 343*T1^9*T2^15 + 385*T1^10*T2^15 + 28*T1^11*T2^15 - 
      595*T1^12*T2^15 + 812*T1^13*T2^15 - 539*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 105*T1^10*T2^16 - 
      200*T1^11*T2^16 + 245*T1^12*T2^16 - 200*T1^13*T2^16 + 105*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 40] -> 
  {-((1 - 7*T + 23*T^2 - 46*T^3 + 57*T^4 - 46*T^5 + 23*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 115*T1^2 + 230*T1^3 - 285*T1^4 + 230*T1^5 - 
      115*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 
      966*T1^3*T2 + 707*T1^4*T2 - 14*T1^5*T2 - 483*T1^6*T2 + 399*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1342*T1^2*T2^2 + 
      1266*T1^3*T2^2 + 873*T1^4*T2^2 - 2708*T1^5*T2^2 + 2437*T1^6*T2^2 - 
      528*T1^7*T2^2 - 330*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 
      230*T2^3 - 966*T1*T2^3 + 1266*T1^2*T2^3 + 933*T1^3*T2^3 - 
      6040*T1^4*T2^3 + 6026*T1^5*T2^3 - 1035*T1^6*T2^3 - 3763*T1^7*T2^3 + 
      2589*T1^8*T2^3 - 620*T1^9*T2^3 - 161*T1^10*T2^3 + 92*T1^11*T2^3 - 
      285*T2^4 + 707*T1*T2^4 + 873*T1^2*T2^4 - 6040*T1^3*T2^4 + 
      10993*T1^4*T2^4 - 1810*T1^5*T2^4 - 9365*T1^6*T2^4 + 11194*T1^7*T2^4 - 
      1355*T1^8*T2^4 - 2360*T1^9*T2^4 + 1609*T1^10*T2^4 - 245*T1^11*T2^4 - 
      57*T1^12*T2^4 + 230*T2^5 - 14*T1*T2^5 - 2708*T1^2*T2^5 + 
      6026*T1^3*T2^5 - 1810*T1^4*T2^5 - 19637*T1^5*T2^5 + 24635*T1^6*T2^5 - 
      8646*T1^7*T2^5 - 12433*T1^8*T2^5 + 9599*T1^9*T2^5 - 2461*T1^10*T2^5 - 
      677*T1^11*T2^5 + 399*T1^12*T2^5 - 115*T2^6 - 483*T1*T2^6 + 
      2437*T1^2*T2^6 - 1035*T1^3*T2^6 - 9365*T1^4*T2^6 + 24635*T1^5*T2^6 - 
      3127*T1^6*T2^6 - 29043*T1^7*T2^6 + 38825*T1^8*T2^6 - 11843*T1^9*T2^6 - 
      3063*T1^10*T2^6 + 3887*T1^11*T2^6 - 783*T1^12*T2^6 - 161*T1^13*T2^6 + 
      23*T1^14*T2^6 + 35*T2^7 + 399*T1*T2^7 - 528*T1^2*T2^7 - 
      3763*T1^3*T2^7 + 11194*T1^4*T2^7 - 8646*T1^5*T2^7 - 29043*T1^6*T2^7 + 
      48186*T1^7*T2^7 - 26632*T1^8*T2^7 - 14553*T1^9*T2^7 + 
      18241*T1^10*T2^7 - 6595*T1^11*T2^7 - 428*T1^12*T2^7 + 806*T1^13*T2^7 - 
      63*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 330*T1^2*T2^8 + 
      2589*T1^3*T2^8 - 1355*T1^4*T2^8 - 12433*T1^5*T2^8 + 38825*T1^6*T2^8 - 
      26632*T1^7*T2^8 - 14856*T1^8*T2^8 + 41144*T1^9*T2^8 - 
      21067*T1^10*T2^8 - 275*T1^11*T2^8 + 4621*T1^12*T2^8 - 1597*T1^13*T2^8 - 
      88*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 
      287*T1^2*T2^9 - 620*T1^3*T2^9 - 2360*T1^4*T2^9 + 9599*T1^5*T2^9 - 
      11843*T1^6*T2^9 - 14553*T1^7*T2^9 + 41144*T1^8*T2^9 - 33674*T1^9*T2^9 - 
      63*T1^10*T2^9 + 15044*T1^11*T2^9 - 8190*T1^12*T2^9 + 975*T1^13*T2^9 + 
      714*T1^14*T2^9 - 175*T1^15*T2^9 - 21*T1^16*T2^9 - 69*T1^2*T2^10 - 
      161*T1^3*T2^10 + 1609*T1^4*T2^10 - 2461*T1^5*T2^10 - 3063*T1^6*T2^10 + 
      18241*T1^7*T2^10 - 21067*T1^8*T2^10 - 63*T1^9*T2^10 + 
      20885*T1^10*T2^10 - 18237*T1^11*T2^10 + 3239*T1^12*T2^10 + 
      2461*T1^13*T2^10 - 1611*T1^14*T2^10 + 161*T1^15*T2^10 + 
      69*T1^16*T2^10 + 92*T1^3*T2^11 - 245*T1^4*T2^11 - 677*T1^5*T2^11 + 
      3887*T1^6*T2^11 - 6595*T1^7*T2^11 - 275*T1^8*T2^11 + 15044*T1^9*T2^11 - 
      18237*T1^10*T2^11 + 6929*T1^11*T2^11 + 4814*T1^12*T2^11 - 
      4600*T1^13*T2^11 + 1354*T1^14*T2^11 + 168*T1^15*T2^11 - 
      138*T1^16*T2^11 - 57*T1^4*T2^12 + 399*T1^5*T2^12 - 783*T1^6*T2^12 - 
      428*T1^7*T2^12 + 4621*T1^8*T2^12 - 8190*T1^9*T2^12 + 3239*T1^10*T2^12 + 
      4814*T1^11*T2^12 - 7727*T1^12*T2^12 + 3252*T1^13*T2^12 - 
      47*T1^14*T2^12 - 553*T1^15*T2^12 + 171*T1^16*T2^12 - 161*T1^6*T2^13 + 
      806*T1^7*T2^13 - 1597*T1^8*T2^13 + 975*T1^9*T2^13 + 2461*T1^10*T2^13 - 
      4600*T1^11*T2^13 + 3252*T1^12*T2^13 + 59*T1^13*T2^13 - 
      1080*T1^14*T2^13 + 644*T1^15*T2^13 - 138*T1^16*T2^13 + 23*T1^6*T2^14 - 
      63*T1^7*T2^14 - 88*T1^8*T2^14 + 714*T1^9*T2^14 - 1611*T1^10*T2^14 + 
      1354*T1^11*T2^14 - 47*T1^12*T2^14 - 1080*T1^13*T2^14 + 
      924*T1^14*T2^14 - 385*T1^15*T2^14 + 69*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 175*T1^9*T2^15 + 161*T1^10*T2^15 + 168*T1^11*T2^15 - 
      553*T1^12*T2^15 + 644*T1^13*T2^15 - 385*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 69*T1^10*T2^16 - 
      138*T1^11*T2^16 + 171*T1^12*T2^16 - 138*T1^13*T2^16 + 69*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 41] -> 
  {(2 - 9*T + 23*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 179*T1^2 + 292*T1^3 - 341*T1^4 + 292*T1^5 - 
     179*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 282*T1*T2 + 660*T1^2*T2 - 
     921*T1^3*T2 + 885*T1^4*T2 - 555*T1^5*T2 + 159*T1^6*T2 + 84*T1^7*T2 - 
     84*T1^8*T2 + 33*T1^9*T2 - 179*T2^2 + 660*T1*T2^2 - 1393*T1^2*T2^2 + 
     1591*T1^3*T2^2 - 1049*T1^4*T2^2 + 29*T1^5*T2^2 + 791*T1^6*T2^2 - 
     985*T1^7*T2^2 + 539*T1^8*T2^2 - 168*T1^9*T2^2 + 5*T1^10*T2^2 + 
     292*T2^3 - 921*T1*T2^3 + 1591*T1^2*T2^3 - 1005*T1^3*T2^3 - 
     433*T1^4*T2^3 + 1630*T1^5*T2^3 - 1610*T1^6*T2^3 + 443*T1^7*T2^3 + 
     1029*T1^8*T2^3 - 1238*T1^9*T2^3 + 663*T1^10*T2^3 - 152*T1^11*T2^3 - 
     341*T2^4 + 885*T1*T2^4 - 1049*T1^2*T2^4 - 433*T1^3*T2^4 + 
     2018*T1^4*T2^4 - 1843*T1^5*T2^4 + 128*T1^6*T2^4 + 1845*T1^7*T2^4 - 
     2526*T1^8*T2^4 + 825*T1^9*T2^4 + 869*T1^10*T2^4 - 879*T1^11*T2^4 + 
     347*T1^12*T2^4 + 292*T2^5 - 555*T1*T2^5 + 29*T1^2*T2^5 + 
     1630*T1^3*T2^5 - 1843*T1^4*T2^5 - 1380*T1^5*T2^5 + 4516*T1^6*T2^5 - 
     5744*T1^7*T2^5 + 3738*T1^8*T2^5 + 294*T1^9*T2^5 - 2022*T1^10*T2^5 + 
     266*T1^11*T2^5 + 453*T1^12*T2^5 - 448*T1^13*T2^5 - 179*T2^6 + 
     159*T1*T2^6 + 791*T1^2*T2^6 - 1610*T1^3*T2^6 + 128*T1^4*T2^6 + 
     4516*T1^5*T2^6 - 4693*T1^6*T2^6 + 1857*T1^7*T2^6 + 3367*T1^8*T2^6 - 
     6468*T1^9*T2^6 + 4250*T1^10*T2^6 + 1012*T1^11*T2^6 - 893*T1^12*T2^6 + 
     339*T1^13*T2^6 + 373*T1^14*T2^6 + 69*T2^7 + 84*T1*T2^7 - 985*T1^2*T2^7 + 
     443*T1^3*T2^7 + 1845*T1^4*T2^7 - 5744*T1^5*T2^7 + 1857*T1^6*T2^7 + 
     1525*T1^7*T2^7 - 4309*T1^8*T2^7 + 2028*T1^9*T2^7 + 3068*T1^10*T2^7 - 
     6496*T1^11*T2^7 + 1095*T1^12*T2^7 + 326*T1^13*T2^7 - 852*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 84*T1*T2^8 + 539*T1^2*T2^8 + 1029*T1^3*T2^8 - 
     2526*T1^4*T2^8 + 3738*T1^5*T2^8 + 3367*T1^6*T2^8 - 4309*T1^7*T2^8 + 
     3732*T1^8*T2^8 + 1121*T1^9*T2^8 - 3787*T1^10*T2^8 + 2658*T1^11*T2^8 + 
     4894*T1^12*T2^8 - 2545*T1^13*T2^8 + 1133*T1^14*T2^8 + 600*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 168*T1^2*T2^9 - 1238*T1^3*T2^9 + 
     825*T1^4*T2^9 + 294*T1^5*T2^9 - 6468*T1^6*T2^9 + 2028*T1^7*T2^9 + 
     1121*T1^8*T2^9 - 4713*T1^9*T2^9 + 2199*T1^10*T2^9 + 2344*T1^11*T2^9 - 
     8047*T1^12*T2^9 + 1477*T1^13*T2^9 + 73*T1^14*T2^9 - 1104*T1^15*T2^9 - 
     219*T1^16*T2^9 + 5*T1^2*T2^10 + 663*T1^3*T2^10 + 869*T1^4*T2^10 - 
     2022*T1^5*T2^10 + 4250*T1^6*T2^10 + 3068*T1^7*T2^10 - 3787*T1^8*T2^10 + 
     2199*T1^9*T2^10 + 4273*T1^10*T2^10 - 7916*T1^11*T2^10 + 
     8372*T1^12*T2^10 + 600*T1^13*T2^10 - 815*T1^14*T2^10 + 843*T1^15*T2^10 + 
     557*T1^16*T2^10 - 152*T1^3*T2^11 - 879*T1^4*T2^11 + 266*T1^5*T2^11 + 
     1012*T1^6*T2^11 - 6496*T1^7*T2^11 + 2658*T1^8*T2^11 + 2344*T1^9*T2^11 - 
     7916*T1^10*T2^11 + 7776*T1^11*T2^11 - 4359*T1^12*T2^11 - 
     2640*T1^13*T2^11 + 503*T1^14*T2^11 + 129*T1^15*T2^11 - 892*T1^16*T2^11 + 
     347*T1^4*T2^12 + 453*T1^5*T2^12 - 893*T1^6*T2^12 + 1095*T1^7*T2^12 + 
     4894*T1^8*T2^12 - 8047*T1^9*T2^12 + 8372*T1^10*T2^12 - 
     4359*T1^11*T2^12 + 350*T1^12*T2^12 + 2353*T1^13*T2^12 + 
     1025*T1^14*T2^12 - 1311*T1^15*T2^12 + 1035*T1^16*T2^12 - 
     448*T1^5*T2^13 + 339*T1^6*T2^13 + 326*T1^7*T2^13 - 2545*T1^8*T2^13 + 
     1477*T1^9*T2^13 + 600*T1^10*T2^13 - 2640*T1^11*T2^13 + 
     2353*T1^12*T2^13 - 511*T1^13*T2^13 - 2503*T1^14*T2^13 + 
     1923*T1^15*T2^13 - 892*T1^16*T2^13 + 373*T1^6*T2^14 - 852*T1^7*T2^14 + 
     1133*T1^8*T2^14 + 73*T1^9*T2^14 - 815*T1^10*T2^14 + 503*T1^11*T2^14 + 
     1025*T1^12*T2^14 - 2503*T1^13*T2^14 + 3065*T1^14*T2^14 - 
     1680*T1^15*T2^14 + 557*T1^16*T2^14 - 183*T1^7*T2^15 + 600*T1^8*T2^15 - 
     1104*T1^9*T2^15 + 843*T1^10*T2^15 + 129*T1^11*T2^15 - 1311*T1^12*T2^15 + 
     1923*T1^13*T2^15 - 1680*T1^14*T2^15 + 798*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 557*T1^10*T2^16 - 
     892*T1^11*T2^16 + 1035*T1^12*T2^16 - 892*T1^13*T2^16 + 557*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 42] -> 
  {(3 - 13*T + 30*T^2 - 39*T^3 + 30*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-45 + 199*T1 - 462*T1^2 + 603*T1^3 - 462*T1^4 + 199*T1^5 - 45*T1^6 + 
     199*T2 - 795*T1*T2 + 1664*T1^2*T2 - 1789*T1^3*T2 + 902*T1^4*T2 - 
     13*T1^5*T2 - 171*T1^6*T2 + 82*T1^7*T2 - 462*T2^2 + 1664*T1*T2^2 - 
     2985*T1^2*T2^2 + 2001*T1^3*T2^2 + 987*T1^4*T2^2 - 2679*T1^5*T2^2 + 
     1875*T1^6*T2^2 - 676*T1^7*T2^2 + 78*T1^8*T2^2 + 603*T2^3 - 
     1789*T1*T2^3 + 2001*T1^2*T2^3 + 1689*T1^3*T2^3 - 6367*T1^4*T2^3 + 
     5450*T1^5*T2^3 - 339*T1^6*T2^3 - 2289*T1^7*T2^3 + 1604*T1^8*T2^3 - 
     450*T1^9*T2^3 - 462*T2^4 + 902*T1*T2^4 + 987*T1^2*T2^4 - 
     6367*T1^3*T2^4 + 9170*T1^4*T2^4 - 1480*T1^5*T2^4 - 7474*T1^6*T2^4 + 
     6971*T1^7*T2^4 - 1395*T1^8*T2^4 - 736*T1^9*T2^4 + 618*T1^10*T2^4 + 
     199*T2^5 - 13*T1*T2^5 - 2679*T1^2*T2^5 + 5450*T1^3*T2^5 - 
     1480*T1^4*T2^5 - 13815*T1^5*T2^5 + 19725*T1^6*T2^5 - 8500*T1^7*T2^5 - 
     3325*T1^8*T2^5 + 3171*T1^9*T2^5 - 988*T1^10*T2^5 - 386*T1^11*T2^5 - 
     45*T2^6 - 171*T1*T2^6 + 1875*T1^2*T2^6 - 339*T1^3*T2^6 - 
     7474*T1^4*T2^6 + 19725*T1^5*T2^6 - 11400*T1^6*T2^6 - 9525*T1^7*T2^6 + 
     16382*T1^8*T2^6 - 5565*T1^9*T2^6 + 107*T1^10*T2^6 + 1155*T1^11*T2^6 + 
     117*T1^12*T2^6 + 82*T1*T2^7 - 676*T1^2*T2^7 - 2289*T1^3*T2^7 + 
     6971*T1^4*T2^7 - 8500*T1^5*T2^7 - 9525*T1^6*T2^7 + 24015*T1^7*T2^7 - 
     15520*T1^8*T2^7 - 1804*T1^9*T2^7 + 3561*T1^10*T2^7 - 1651*T1^11*T2^7 - 
     503*T1^12*T2^7 + 78*T1^2*T2^8 + 1604*T1^3*T2^8 - 1395*T1^4*T2^8 - 
     3325*T1^5*T2^8 + 16382*T1^6*T2^8 - 15520*T1^7*T2^8 - 262*T1^8*T2^8 + 
     10013*T1^9*T2^8 - 3777*T1^10*T2^8 - 34*T1^11*T2^8 + 1158*T1^12*T2^8 - 
     450*T1^3*T2^9 - 736*T1^4*T2^9 + 3171*T1^5*T2^9 - 5565*T1^6*T2^9 - 
     1804*T1^7*T2^9 + 10013*T1^8*T2^9 - 7593*T1^9*T2^9 - 1119*T1^10*T2^9 + 
     2657*T1^11*T2^9 - 1503*T1^12*T2^9 + 618*T1^4*T2^10 - 988*T1^5*T2^10 + 
     107*T1^6*T2^10 + 3561*T1^7*T2^10 - 3777*T1^8*T2^10 - 1119*T1^9*T2^10 + 
     4967*T1^10*T2^10 - 3328*T1^11*T2^10 + 1158*T1^12*T2^10 - 
     386*T1^5*T2^11 + 1155*T1^6*T2^11 - 1651*T1^7*T2^11 - 34*T1^8*T2^11 + 
     2657*T1^9*T2^11 - 3328*T1^10*T2^11 + 1779*T1^11*T2^11 - 
     503*T1^12*T2^11 + 117*T1^6*T2^12 - 503*T1^7*T2^12 + 1158*T1^8*T2^12 - 
     1503*T1^9*T2^12 + 1158*T1^10*T2^12 - 503*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 43] -> 
  {((2 - 3*T + 2*T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3, 
   -((1347 - 5101*T1 + 9915*T1^2 - 12085*T1^3 + 9915*T1^4 - 5101*T1^5 + 
      1347*T1^6 - 5101*T2 + 15106*T1*T2 - 21534*T1^2*T2 + 14506*T1^3*T2 + 
      706*T1^4*T2 - 12150*T1^5*T2 + 11104*T1^6*T2 - 4273*T1^7*T2 + 
      9915*T2^2 - 21534*T1*T2^2 + 18406*T1^2*T2^2 + 5601*T1^3*T2^2 - 
      24540*T1^4*T2^2 + 22881*T1^5*T2^2 - 2654*T1^6*T2^2 - 9114*T1^7*T2^2 + 
      6675*T1^8*T2^2 - 12085*T2^3 + 14506*T1*T2^3 + 5601*T1^2*T2^3 - 
      35627*T1^3*T2^3 + 32407*T1^4*T2^3 - 3773*T1^5*T2^3 - 25637*T1^6*T2^3 + 
      20136*T1^7*T2^3 - 2054*T1^8*T2^3 - 6145*T1^9*T2^3 + 9915*T2^4 + 
      706*T1*T2^4 - 24540*T1^2*T2^4 + 32407*T1^3*T2^4 + 6349*T1^4*T2^4 - 
      41421*T1^5*T2^4 + 45189*T1^6*T2^4 - 6863*T1^7*T2^4 - 14950*T1^8*T2^4 + 
      10366*T1^9*T2^4 + 3435*T1^10*T2^4 - 5101*T2^5 - 12150*T1*T2^5 + 
      22881*T1^2*T2^5 - 3773*T1^3*T2^5 - 41421*T1^4*T2^5 + 44390*T1^5*T2^5 - 
      11980*T1^6*T2^5 - 31476*T1^7*T2^5 + 26227*T1^8*T2^5 - 2634*T1^9*T2^5 - 
      9390*T1^10*T2^5 - 961*T1^11*T2^5 + 1347*T2^6 + 11104*T1*T2^6 - 
      2654*T1^2*T2^6 - 25637*T1^3*T2^6 + 45189*T1^4*T2^6 - 11980*T1^5*T2^6 - 
      26652*T1^6*T2^6 + 40064*T1^7*T2^6 - 6101*T1^8*T2^6 - 15827*T1^9*T2^6 + 
      11994*T1^10*T2^6 + 3376*T1^11*T2^6 + 51*T1^12*T2^6 - 4273*T1*T2^7 - 
      9114*T1^2*T2^7 + 20136*T1^3*T2^7 - 6863*T1^4*T2^7 - 31476*T1^5*T2^7 + 
      40064*T1^6*T2^7 - 16306*T1^7*T2^7 - 21531*T1^8*T2^7 + 23137*T1^9*T2^7 - 
      5379*T1^10*T2^7 - 6354*T1^11*T2^7 - 133*T1^12*T2^7 + 6675*T1^2*T2^8 - 
      2054*T1^3*T2^8 - 14950*T1^4*T2^8 + 26227*T1^5*T2^8 - 6101*T1^6*T2^8 - 
      21531*T1^7*T2^8 + 32739*T1^8*T2^8 - 13043*T1^9*T2^8 - 5360*T1^10*T2^8 + 
      7606*T1^11*T2^8 + 195*T1^12*T2^8 - 6145*T1^3*T2^9 + 10366*T1^4*T2^9 - 
      2634*T1^5*T2^9 - 15827*T1^6*T2^9 + 23137*T1^7*T2^9 - 13043*T1^8*T2^9 - 
      5837*T1^9*T2^9 + 11901*T1^10*T2^9 - 6194*T1^11*T2^9 - 205*T1^12*T2^9 + 
      3435*T1^4*T2^10 - 9390*T1^5*T2^10 + 11994*T1^6*T2^10 - 
      5379*T1^7*T2^10 - 5360*T1^8*T2^10 + 11901*T1^9*T2^10 - 
      9066*T1^10*T2^10 + 3030*T1^11*T2^10 + 195*T1^12*T2^10 - 
      961*T1^5*T2^11 + 3376*T1^6*T2^11 - 6354*T1^7*T2^11 + 7606*T1^8*T2^11 - 
      6194*T1^9*T2^11 + 3030*T1^10*T2^11 - 626*T1^11*T2^11 - 
      133*T1^12*T2^11 + 51*T1^6*T2^12 - 133*T1^7*T2^12 + 195*T1^8*T2^12 - 
      205*T1^9*T2^12 + 195*T1^10*T2^12 - 133*T1^11*T2^12 + 51*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 44] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-324 + 1780*T1 - 4035*T1^2 + 5244*T1^3 - 4035*T1^4 + 1780*T1^5 - 
      324*T1^6 + 1780*T2 - 8358*T1*T2 + 14348*T1^2*T2 - 11054*T1^3*T2 - 
      934*T1^4*T2 + 8012*T1^5*T2 - 6070*T1^6*T2 + 1428*T1^7*T2 - 4035*T2^2 + 
      14348*T1*T2^2 - 9679*T1^2*T2^2 - 18999*T1^3*T2^2 + 46465*T1^4*T2^2 - 
      36199*T1^5*T2^2 + 8721*T1^6*T2^2 + 5548*T1^7*T2^2 - 2435*T1^8*T2^2 + 
      5244*T2^3 - 11054*T1*T2^3 - 18999*T1^2*T2^3 + 65684*T1^3*T2^3 - 
      67908*T1^4*T2^3 + 2432*T1^5*T2^3 + 40304*T1^6*T2^3 - 29399*T1^7*T2^3 + 
      1706*T1^8*T2^3 + 2124*T1^9*T2^3 - 4035*T2^4 - 934*T1*T2^4 + 
      46465*T1^2*T2^4 - 67908*T1^3*T2^4 + 7877*T1^4*T2^4 + 87109*T1^5*T2^4 - 
      78303*T1^6*T2^4 + 11652*T1^7*T2^4 + 23545*T1^8*T2^4 - 7094*T1^9*T2^4 - 
      835*T1^10*T2^4 + 1780*T2^5 + 8012*T1*T2^5 - 36199*T1^2*T2^5 + 
      2432*T1^3*T2^5 + 87109*T1^4*T2^5 - 124046*T1^5*T2^5 + 23544*T1^6*T2^5 + 
      58809*T1^7*T2^5 - 49468*T1^8*T2^5 + 1401*T1^9*T2^5 + 4492*T1^10*T2^5 + 
      20*T1^11*T2^5 - 324*T2^6 - 6070*T1*T2^6 + 8721*T1^2*T2^6 + 
      40304*T1^3*T2^6 - 78303*T1^4*T2^6 + 23544*T1^5*T2^6 + 94740*T1^6*T2^6 - 
      104512*T1^7*T2^6 + 30657*T1^8*T2^6 + 20864*T1^9*T2^6 - 
      9071*T1^10*T2^6 - 438*T1^11*T2^6 + 60*T1^12*T2^6 + 1428*T1*T2^7 + 
      5548*T1^2*T2^7 - 29399*T1^3*T2^7 + 11652*T1^4*T2^7 + 58809*T1^5*T2^7 - 
      104512*T1^6*T2^7 + 43078*T1^7*T2^7 + 30509*T1^8*T2^7 - 
      40248*T1^9*T2^7 + 8201*T1^10*T2^7 + 2028*T1^11*T2^7 - 332*T1^12*T2^7 - 
      2435*T1^2*T2^8 + 1706*T1^3*T2^8 + 23545*T1^4*T2^8 - 49468*T1^5*T2^8 + 
      30657*T1^6*T2^8 + 30509*T1^7*T2^8 - 55523*T1^8*T2^8 + 30092*T1^9*T2^8 + 
      625*T1^10*T2^8 - 4454*T1^11*T2^8 + 765*T1^12*T2^8 + 2124*T1^3*T2^9 - 
      7094*T1^4*T2^9 + 1401*T1^5*T2^9 + 20864*T1^6*T2^9 - 40248*T1^7*T2^9 + 
      30092*T1^8*T2^9 - 4516*T1^9*T2^9 - 8999*T1^10*T2^9 + 5666*T1^11*T2^9 - 
      996*T1^12*T2^9 - 835*T1^4*T2^10 + 4492*T1^5*T2^10 - 9071*T1^6*T2^10 + 
      8201*T1^7*T2^10 + 625*T1^8*T2^10 - 8999*T1^9*T2^10 + 9329*T1^10*T2^10 - 
      4308*T1^11*T2^10 + 765*T1^12*T2^10 + 20*T1^5*T2^11 - 438*T1^6*T2^11 + 
      2028*T1^7*T2^11 - 4454*T1^8*T2^11 + 5666*T1^9*T2^11 - 
      4308*T1^10*T2^11 + 1850*T1^11*T2^11 - 332*T1^12*T2^11 + 60*T1^6*T2^12 - 
      332*T1^7*T2^12 + 765*T1^8*T2^12 - 996*T1^9*T2^12 + 765*T1^10*T2^12 - 
      332*T1^11*T2^12 + 60*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 45] -> 
  {-((1 - 8*T + 22*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 22*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 66*T1^2 + 111*T1^3 - 129*T1^4 + 111*T1^5 - 
      66*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 400*T1^2*T2 - 
      536*T1^3*T2 + 440*T1^4*T2 - 200*T1^5*T2 - 64*T1^6*T2 + 160*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 66*T2^2 + 400*T1*T2^2 - 448*T1^2*T2^2 - 
      207*T1^3*T2^2 + 1438*T1^4*T2^2 - 2280*T1^5*T2^2 + 2362*T1^6*T2^2 - 
      1483*T1^7*T2^2 + 476*T1^8*T2^2 + 48*T1^9*T2^2 - 22*T1^10*T2^2 + 
      111*T2^3 - 536*T1*T2^3 - 207*T1^2*T2^3 + 2227*T1^3*T2^3 - 
      4367*T1^4*T2^3 + 4502*T1^5*T2^3 - 3029*T1^6*T2^3 + 356*T1^7*T2^3 + 
      1165*T1^8*T2^3 - 1065*T1^9*T2^3 + 176*T1^10*T2^3 - 129*T2^4 + 
      440*T1*T2^4 + 1438*T1^2*T2^4 - 4367*T1^3*T2^4 + 5932*T1^4*T2^4 - 
      3715*T1^5*T2^4 + 126*T1^6*T2^4 + 3729*T1^7*T2^4 - 4012*T1^8*T2^4 + 
      1701*T1^9*T2^4 + 486*T1^10*T2^4 - 344*T1^11*T2^4 + 43*T1^12*T2^4 + 
      111*T2^5 - 200*T1*T2^5 - 2280*T1^2*T2^5 + 4502*T1^3*T2^5 - 
      3715*T1^4*T2^5 - 795*T1^5*T2^5 + 4202*T1^6*T2^5 - 5580*T1^7*T2^5 + 
      1629*T1^8*T2^5 + 3126*T1^9*T2^5 - 4031*T1^10*T2^5 + 1092*T1^11*T2^5 + 
      248*T1^12*T2^5 - 74*T1^13*T2^5 - 66*T2^6 - 64*T1*T2^6 + 
      2362*T1^2*T2^6 - 3029*T1^3*T2^6 + 126*T1^4*T2^6 + 4202*T1^5*T2^6 - 
      4754*T1^6*T2^6 + 2376*T1^7*T2^6 + 3414*T1^8*T2^6 - 5822*T1^9*T2^6 + 
      1726*T1^10*T2^6 + 2999*T1^11*T2^6 - 2314*T1^12*T2^6 + 64*T1^13*T2^6 + 
      66*T1^14*T2^6 + 24*T2^7 + 160*T1*T2^7 - 1483*T1^2*T2^7 + 
      356*T1^3*T2^7 + 3729*T1^4*T2^7 - 5580*T1^5*T2^7 + 2376*T1^6*T2^7 + 
      2683*T1^7*T2^7 - 6415*T1^8*T2^7 + 3911*T1^9*T2^7 + 3718*T1^10*T2^7 - 
      5524*T1^11*T2^7 + 1013*T1^12*T2^7 + 1883*T1^13*T2^7 - 272*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 476*T1^2*T2^8 + 1165*T1^3*T2^8 - 
      4012*T1^4*T2^8 + 1629*T1^5*T2^8 + 3414*T1^6*T2^8 - 6415*T1^7*T2^8 + 
      3480*T1^8*T2^8 + 2939*T1^9*T2^8 - 8708*T1^10*T2^8 + 3711*T1^11*T2^8 + 
      2812*T1^12*T2^8 - 3433*T1^13*T2^8 - 484*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 48*T1^2*T2^9 - 1065*T1^3*T2^9 + 
      1701*T1^4*T2^9 + 3126*T1^5*T2^9 - 5822*T1^6*T2^9 + 3911*T1^7*T2^9 + 
      2939*T1^8*T2^9 - 6159*T1^9*T2^9 + 5446*T1^10*T2^9 + 3476*T1^11*T2^9 - 
      6127*T1^12*T2^9 + 2358*T1^13*T2^9 + 2301*T1^14*T2^9 - 384*T1^15*T2^9 - 
      40*T1^16*T2^9 - 22*T1^2*T2^10 + 176*T1^3*T2^10 + 486*T1^4*T2^10 - 
      4031*T1^5*T2^10 + 1726*T1^6*T2^10 + 3718*T1^7*T2^10 - 8708*T1^8*T2^10 + 
      5446*T1^9*T2^10 - 540*T1^10*T2^10 - 6306*T1^11*T2^10 + 
      3326*T1^12*T2^10 + 1997*T1^13*T2^10 - 4190*T1^14*T2^10 + 
      304*T1^15*T2^10 + 110*T1^16*T2^10 - 344*T1^4*T2^11 + 1092*T1^5*T2^11 + 
      2999*T1^6*T2^11 - 5524*T1^7*T2^11 + 3711*T1^8*T2^11 + 3476*T1^9*T2^11 - 
      6306*T1^10*T2^11 + 6135*T1^11*T2^11 + 1317*T1^12*T2^11 - 
      5534*T1^13*T2^11 + 4464*T1^14*T2^11 + 104*T1^15*T2^11 - 
      185*T1^16*T2^11 + 43*T1^4*T2^12 + 248*T1^5*T2^12 - 2314*T1^6*T2^12 + 
      1013*T1^7*T2^12 + 2812*T1^8*T2^12 - 6127*T1^9*T2^12 + 
      3326*T1^10*T2^12 + 1317*T1^11*T2^12 - 7132*T1^12*T2^12 + 
      7081*T1^13*T2^12 - 3266*T1^14*T2^12 - 536*T1^15*T2^12 + 
      215*T1^16*T2^12 - 74*T1^5*T2^13 + 64*T1^6*T2^13 + 1883*T1^7*T2^13 - 
      3433*T1^8*T2^13 + 2358*T1^9*T2^13 + 1997*T1^10*T2^13 - 
      5534*T1^11*T2^13 + 7081*T1^12*T2^13 - 4495*T1^13*T2^13 + 
      1025*T1^14*T2^13 + 776*T1^15*T2^13 - 185*T1^16*T2^13 + 66*T1^6*T2^14 - 
      272*T1^7*T2^14 - 484*T1^8*T2^14 + 2301*T1^9*T2^14 - 4190*T1^10*T2^14 + 
      4464*T1^11*T2^14 - 3266*T1^12*T2^14 + 1025*T1^13*T2^14 + 
      440*T1^14*T2^14 - 624*T1^15*T2^14 + 110*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 384*T1^9*T2^15 + 304*T1^10*T2^15 + 104*T1^11*T2^15 - 
      536*T1^12*T2^15 + 776*T1^13*T2^15 - 624*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 110*T1^10*T2^16 - 
      185*T1^11*T2^16 + 215*T1^12*T2^16 - 185*T1^13*T2^16 + 110*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 46] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-23 + 172*T1 - 436*T1^2 + 585*T1^3 - 436*T1^4 + 172*T1^5 - 23*T1^6 + 
      172*T2 - 1174*T1*T2 + 2424*T1^2*T2 - 2254*T1^3*T2 + 416*T1^4*T2 + 
      834*T1^5*T2 - 664*T1^6*T2 + 112*T1^7*T2 - 436*T2^2 + 2424*T1*T2^2 - 
      2189*T1^2*T2^2 - 3651*T1^3*T2^2 + 10325*T1^4*T2^2 - 9123*T1^5*T2^2 + 
      3283*T1^6*T2^2 + 144*T1^7*T2^2 - 132*T1^8*T2^2 + 585*T2^3 - 
      2254*T1*T2^3 - 3651*T1^2*T2^3 + 17746*T1^3*T2^3 - 23933*T1^4*T2^3 + 
      10579*T1^5*T2^3 + 3754*T1^6*T2^3 - 5589*T1^7*T2^3 + 1196*T1^8*T2^3 - 
      27*T1^9*T2^3 - 436*T2^4 + 416*T1*T2^4 + 10325*T1^2*T2^4 - 
      23933*T1^3*T2^4 + 15516*T1^4*T2^4 + 15140*T1^5*T2^4 - 28620*T1^6*T2^4 + 
      15643*T1^7*T2^4 - 1073*T1^8*T2^4 - 1084*T1^9*T2^4 + 172*T1^10*T2^4 + 
      172*T2^5 + 834*T1*T2^5 - 9123*T1^2*T2^5 + 10579*T1^3*T2^5 + 
      15140*T1^4*T2^5 - 46382*T1^5*T2^5 + 38020*T1^6*T2^5 - 2644*T1^7*T2^5 - 
      13805*T1^8*T2^5 + 6951*T1^9*T2^5 - 336*T1^10*T2^5 - 128*T1^11*T2^5 - 
      23*T2^6 - 664*T1*T2^6 + 3283*T1^2*T2^6 + 3754*T1^3*T2^6 - 
      28620*T1^4*T2^6 + 38020*T1^5*T2^6 - 5052*T1^6*T2^6 - 33908*T1^7*T2^6 + 
      30360*T1^8*T2^6 - 6590*T1^9*T2^6 - 3529*T1^10*T2^6 + 776*T1^11*T2^6 + 
      25*T1^12*T2^6 + 112*T1*T2^7 + 144*T1^2*T2^7 - 5589*T1^3*T2^7 + 
      15643*T1^4*T2^7 - 2644*T1^5*T2^7 - 33908*T1^6*T2^7 + 50494*T1^7*T2^7 - 
      20428*T1^8*T2^7 - 8741*T1^9*T2^7 + 10485*T1^10*T2^7 - 1026*T1^11*T2^7 - 
      188*T1^12*T2^7 - 132*T1^2*T2^8 + 1196*T1^3*T2^8 - 1073*T1^4*T2^8 - 
      13805*T1^5*T2^8 + 30360*T1^6*T2^8 - 20428*T1^7*T2^8 - 13776*T1^8*T2^8 + 
      25771*T1^9*T2^8 - 12471*T1^10*T2^8 - 304*T1^11*T2^8 + 476*T1^12*T2^8 - 
      27*T1^3*T2^9 - 1084*T1^4*T2^9 + 6951*T1^5*T2^9 - 6590*T1^6*T2^9 - 
      8741*T1^7*T2^9 + 25771*T1^8*T2^9 - 20582*T1^9*T2^9 + 5013*T1^10*T2^9 + 
      2366*T1^11*T2^9 - 639*T1^12*T2^9 + 172*T1^4*T2^10 - 336*T1^5*T2^10 - 
      3529*T1^6*T2^10 + 10485*T1^7*T2^10 - 12471*T1^8*T2^10 + 
      5013*T1^9*T2^10 + 1943*T1^10*T2^10 - 2616*T1^11*T2^10 + 
      476*T1^12*T2^10 - 128*T1^5*T2^11 + 776*T1^6*T2^11 - 1026*T1^7*T2^11 - 
      304*T1^8*T2^11 + 2366*T1^9*T2^11 - 2616*T1^10*T2^11 + 
      1286*T1^11*T2^11 - 188*T1^12*T2^11 + 25*T1^6*T2^12 - 188*T1^7*T2^12 + 
      476*T1^8*T2^12 - 639*T1^9*T2^12 + 476*T1^10*T2^12 - 188*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 47] -> 
  {-((3 - 19*T + 45*T^2 - 59*T^3 + 45*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((-138 + 872*T1 - 2058*T1^2 + 2696*T1^3 - 2058*T1^4 + 872*T1^5 - 
      138*T1^6 + 872*T2 - 4811*T1*T2 + 8586*T1^2*T2 - 6602*T1^3*T2 - 
      674*T1^4*T2 + 4938*T1^5*T2 - 3557*T1^6*T2 + 701*T1^7*T2 - 2058*T2^2 + 
      8586*T1*T2^2 - 4076*T1^2*T2^2 - 17712*T1^3*T2^2 + 36964*T1^4*T2^2 - 
      28512*T1^5*T2^2 + 7264*T1^6*T2^2 + 3456*T1^7*T2^2 - 1248*T1^8*T2^2 + 
      2696*T2^3 - 6602*T1*T2^3 - 17712*T1^2*T2^3 + 54328*T1^3*T2^3 - 
      53450*T1^4*T2^3 + 1486*T1^5*T2^3 + 32530*T1^6*T2^3 - 22797*T1^7*T2^3 + 
      922*T1^8*T2^3 + 1103*T1^9*T2^3 - 2058*T2^4 - 674*T1*T2^4 + 
      36964*T1^2*T2^4 - 53450*T1^3*T2^4 + 2473*T1^4*T2^4 + 72243*T1^5*T2^4 - 
      64527*T1^6*T2^4 + 8854*T1^7*T2^4 + 18666*T1^8*T2^4 - 4208*T1^9*T2^4 - 
      438*T1^10*T2^4 + 872*T2^5 + 4938*T1*T2^5 - 28512*T1^2*T2^5 + 
      1486*T1^3*T2^5 + 72243*T1^4*T2^5 - 99499*T1^5*T2^5 + 18731*T1^6*T2^5 + 
      48528*T1^7*T2^5 - 38714*T1^8*T2^5 - 567*T1^9*T2^5 + 2658*T1^10*T2^5 + 
      17*T1^11*T2^5 - 138*T2^6 - 3557*T1*T2^6 + 7264*T1^2*T2^6 + 
      32530*T1^3*T2^6 - 64527*T1^4*T2^6 + 18731*T1^5*T2^6 + 75348*T1^6*T2^6 - 
      83647*T1^7*T2^6 + 22807*T1^8*T2^6 + 17374*T1^9*T2^6 - 5592*T1^10*T2^6 - 
      251*T1^11*T2^6 + 24*T1^12*T2^6 + 701*T1*T2^7 + 3456*T1^2*T2^7 - 
      22797*T1^3*T2^7 + 8854*T1^4*T2^7 + 48528*T1^5*T2^7 - 83647*T1^6*T2^7 + 
      34583*T1^7*T2^7 + 24813*T1^8*T2^7 - 31346*T1^9*T2^7 + 5148*T1^10*T2^7 + 
      1176*T1^11*T2^7 - 154*T1^12*T2^7 - 1248*T1^2*T2^8 + 922*T1^3*T2^8 + 
      18666*T1^4*T2^8 - 38714*T1^5*T2^8 + 22807*T1^6*T2^8 + 24813*T1^7*T2^8 - 
      44193*T1^8*T2^8 + 23590*T1^9*T2^8 + 368*T1^10*T2^8 - 2612*T1^11*T2^8 + 
      372*T1^12*T2^8 + 1103*T1^3*T2^9 - 4208*T1^4*T2^9 - 567*T1^5*T2^9 + 
      17374*T1^6*T2^9 - 31346*T1^7*T2^9 + 23590*T1^8*T2^9 - 4424*T1^9*T2^9 - 
      5652*T1^10*T2^9 + 3316*T1^11*T2^9 - 490*T1^12*T2^9 - 438*T1^4*T2^10 + 
      2658*T1^5*T2^10 - 5592*T1^6*T2^10 + 5148*T1^7*T2^10 + 368*T1^8*T2^10 - 
      5652*T1^9*T2^10 + 5748*T1^10*T2^10 - 2472*T1^11*T2^10 + 
      372*T1^12*T2^10 + 17*T1^5*T2^11 - 251*T1^6*T2^11 + 1176*T1^7*T2^11 - 
      2612*T1^8*T2^11 + 3316*T1^9*T2^11 - 2472*T1^10*T2^11 + 
      1003*T1^11*T2^11 - 154*T1^12*T2^11 + 24*T1^6*T2^12 - 154*T1^7*T2^12 + 
      372*T1^8*T2^12 - 490*T1^9*T2^12 + 372*T1^10*T2^12 - 154*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 48] -> 
  {(1 - 8*T + 28*T^2 - 57*T^3 + 73*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 228*T1^3 - 292*T1^4 + 228*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1152*T1^3*T2 + 
     968*T1^4*T2 - 72*T1^5*T2 - 472*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1456*T1^3*T2^2 + 
     1198*T1^4*T2^2 - 4436*T1^5*T2^2 + 3718*T1^6*T2^2 - 1288*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 228*T2^3 - 
     1152*T1*T2^3 + 1456*T1^2*T2^3 + 2293*T1^3*T2^3 - 9560*T1^4*T2^3 + 
     12109*T1^5*T2^3 - 2476*T1^6*T2^3 - 4371*T1^7*T2^3 + 4147*T1^8*T2^3 - 
     1316*T1^9*T2^3 - 8*T1^10*T2^3 + 57*T1^11*T2^3 - 292*T2^4 + 968*T1*T2^4 + 
     1198*T1^2*T2^4 - 9560*T1^3*T2^4 + 16337*T1^4*T2^4 - 6546*T1^5*T2^4 - 
     18707*T1^6*T2^4 + 20186*T1^7*T2^4 - 7327*T1^8*T2^4 - 1580*T1^9*T2^4 + 
     2078*T1^10*T2^4 - 456*T1^11*T2^4 + 228*T2^5 - 72*T1*T2^5 - 
     4436*T1^2*T2^5 + 12109*T1^3*T2^5 - 6546*T1^4*T2^5 - 22387*T1^5*T2^5 + 
     48969*T1^6*T2^5 - 19851*T1^7*T2^5 - 12109*T1^8*T2^5 + 16809*T1^9*T2^5 - 
     6338*T1^10*T2^5 + 4*T1^11*T2^5 + 456*T1^12*T2^5 - 57*T1^13*T2^5 - 
     112*T2^6 - 472*T1*T2^6 + 3718*T1^2*T2^6 - 2476*T1^3*T2^6 - 
     18707*T1^4*T2^6 + 48969*T1^5*T2^6 - 42131*T1^6*T2^6 - 28923*T1^7*T2^6 + 
     56989*T1^8*T2^6 - 29591*T1^9*T2^6 - 35*T1^10*T2^6 + 6316*T1^11*T2^6 - 
     2082*T1^12*T2^6 + 8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1288*T1^2*T2^7 - 4371*T1^3*T2^7 + 20186*T1^4*T2^7 - 19851*T1^5*T2^7 - 
     28923*T1^6*T2^7 + 99027*T1^7*T2^7 - 74739*T1^8*T2^7 + 326*T1^9*T2^7 + 
     29489*T1^10*T2^7 - 16677*T1^11*T2^7 + 1604*T1^12*T2^7 + 
     1316*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 144*T1^2*T2^8 + 4147*T1^3*T2^8 - 7327*T1^4*T2^8 - 
     12109*T1^5*T2^8 + 56989*T1^6*T2^8 - 74739*T1^7*T2^8 + 480*T1^8*T2^8 + 
     74311*T1^9*T2^8 - 57285*T1^10*T2^8 + 12161*T1^11*T2^8 + 
     7193*T1^12*T2^8 - 4147*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1316*T1^3*T2^9 - 
     1580*T1^4*T2^9 + 16809*T1^5*T2^9 - 29591*T1^6*T2^9 + 326*T1^7*T2^9 + 
     74311*T1^8*T2^9 - 99455*T1^9*T2^9 + 29575*T1^10*T2^9 + 
     19749*T1^11*T2^9 - 20054*T1^12*T2^9 + 4395*T1^13*T2^9 + 
     1288*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 - 
     8*T1^3*T2^10 + 2078*T1^4*T2^10 - 6338*T1^5*T2^10 - 35*T1^6*T2^10 + 
     29489*T1^7*T2^10 - 57285*T1^8*T2^10 + 29575*T1^9*T2^10 + 
     41835*T1^10*T2^10 - 49071*T1^11*T2^10 + 18637*T1^12*T2^10 + 
     2454*T1^13*T2^10 - 3722*T1^14*T2^10 + 472*T1^15*T2^10 + 
     112*T1^16*T2^10 + 57*T1^3*T2^11 - 456*T1^4*T2^11 + 4*T1^5*T2^11 + 
     6316*T1^6*T2^11 - 16677*T1^7*T2^11 + 12161*T1^8*T2^11 + 
     19749*T1^9*T2^11 - 49071*T1^10*T2^11 + 22439*T1^11*T2^11 + 
     6678*T1^12*T2^11 - 12131*T1^13*T2^11 + 4444*T1^14*T2^11 + 
     72*T1^15*T2^11 - 228*T1^16*T2^11 + 456*T1^5*T2^12 - 2082*T1^6*T2^12 + 
     1604*T1^7*T2^12 + 7193*T1^8*T2^12 - 20054*T1^9*T2^12 + 
     18637*T1^10*T2^12 + 6678*T1^11*T2^12 - 16471*T1^12*T2^12 + 
     9584*T1^13*T2^12 - 1202*T1^14*T2^12 - 968*T1^15*T2^12 + 
     292*T1^16*T2^12 - 57*T1^5*T2^13 + 8*T1^6*T2^13 + 1316*T1^7*T2^13 - 
     4147*T1^8*T2^13 + 4395*T1^9*T2^13 + 2454*T1^10*T2^13 - 
     12131*T1^11*T2^13 + 9584*T1^12*T2^13 - 2293*T1^13*T2^13 - 
     1456*T1^14*T2^13 + 1152*T1^15*T2^13 - 228*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 144*T1^8*T2^14 + 1288*T1^9*T2^14 - 3722*T1^10*T2^14 + 
     4444*T1^11*T2^14 - 1202*T1^12*T2^14 - 1456*T1^13*T2^14 + 
     1656*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 472*T1^10*T2^15 + 72*T1^11*T2^15 - 
     968*T1^12*T2^15 + 1152*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     228*T1^11*T2^16 + 292*T1^12*T2^16 - 228*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 49] -> 
  {(5 - 23*T + 53*T^2 - 69*T^3 + 53*T^4 - 23*T^5 + 5*T^6)/T^3, 
   (-230 + 1070*T1 - 2465*T1^2 + 3212*T1^3 - 2465*T1^4 + 1070*T1^5 - 
     230*T1^6 + 1070*T2 - 4475*T1*T2 + 9124*T1^2*T2 - 9562*T1^3*T2 + 
     4468*T1^4*T2 + 384*T1^5*T2 - 1255*T1^6*T2 + 495*T1^7*T2 - 2465*T2^2 + 
     9124*T1*T2^2 - 15277*T1^2*T2^2 + 8476*T1^3*T2^2 + 8109*T1^4*T2^2 - 
     15904*T1^5*T2^2 + 10163*T1^6*T2^2 - 3066*T1^7*T2^2 + 185*T1^8*T2^2 + 
     3212*T2^3 - 9562*T1*T2^3 + 8476*T1^2*T2^3 + 14122*T1^3*T2^3 - 
     38933*T1^4*T2^3 + 31125*T1^5*T2^3 - 1932*T1^6*T2^3 - 12247*T1^7*T2^3 + 
     8148*T1^8*T2^3 - 1963*T1^9*T2^3 - 2465*T2^4 + 4468*T1*T2^4 + 
     8109*T1^2*T2^4 - 38933*T1^3*T2^4 + 49832*T1^4*T2^4 - 3856*T1^5*T2^4 - 
     45292*T1^6*T2^4 + 40279*T1^7*T2^4 - 8713*T1^8*T2^4 - 4042*T1^9*T2^4 + 
     2835*T1^10*T2^4 + 1070*T2^5 + 384*T1*T2^5 - 15904*T1^2*T2^5 + 
     31125*T1^3*T2^5 - 3856*T1^4*T2^5 - 78069*T1^5*T2^5 + 106253*T1^6*T2^5 - 
     41645*T1^7*T2^5 - 20625*T1^8*T2^5 + 19447*T1^9*T2^5 - 4676*T1^10*T2^5 - 
     1805*T1^11*T2^5 - 230*T2^6 - 1255*T1*T2^6 + 10163*T1^2*T2^6 - 
     1932*T1^3*T2^6 - 45292*T1^4*T2^6 + 106253*T1^5*T2^6 - 59292*T1^6*T2^6 - 
     54057*T1^7*T2^6 + 86318*T1^8*T2^6 - 29348*T1^9*T2^6 - 2465*T1^10*T2^6 + 
     5875*T1^11*T2^6 + 520*T1^12*T2^6 + 495*T1*T2^7 - 3066*T1^2*T2^7 - 
     12247*T1^3*T2^7 + 40279*T1^4*T2^7 - 41645*T1^5*T2^7 - 54057*T1^6*T2^7 + 
     130265*T1^7*T2^7 - 79434*T1^8*T2^7 - 11471*T1^9*T2^7 + 
     23104*T1^10*T2^7 - 8126*T1^11*T2^7 - 2380*T1^12*T2^7 + 185*T1^2*T2^8 + 
     8148*T1^3*T2^8 - 8713*T1^4*T2^8 - 20625*T1^5*T2^8 + 86318*T1^6*T2^8 - 
     79434*T1^7*T2^8 - 8806*T1^8*T2^8 + 58587*T1^9*T2^8 - 25535*T1^10*T2^8 - 
     362*T1^11*T2^8 + 5485*T1^12*T2^8 - 1963*T1^3*T2^9 - 4042*T1^4*T2^9 + 
     19447*T1^5*T2^9 - 29348*T1^6*T2^9 - 11471*T1^7*T2^9 + 58587*T1^8*T2^9 - 
     45402*T1^9*T2^9 - 1276*T1^10*T2^9 + 13668*T1^11*T2^9 - 7138*T1^12*T2^9 + 
     2835*T1^4*T2^10 - 4676*T1^5*T2^10 - 2465*T1^6*T2^10 + 23104*T1^7*T2^10 - 
     25535*T1^8*T2^10 - 1276*T1^9*T2^10 + 22975*T1^10*T2^10 - 
     16866*T1^11*T2^10 + 5485*T1^12*T2^10 - 1805*T1^5*T2^11 + 
     5875*T1^6*T2^11 - 8126*T1^7*T2^11 - 362*T1^8*T2^11 + 13668*T1^9*T2^11 - 
     16866*T1^10*T2^11 + 9095*T1^11*T2^11 - 2380*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2380*T1^7*T2^12 + 5485*T1^8*T2^12 - 7138*T1^9*T2^12 + 
     5485*T1^10*T2^12 - 2380*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 50] -> 
  {-((1 - 8*T + 20*T^2 - 30*T^3 + 33*T^4 - 30*T^5 + 20*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 60*T1^2 + 90*T1^3 - 99*T1^4 + 90*T1^5 - 60*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 352*T1^2*T2 - 400*T1^3*T2 + 
      312*T1^4*T2 - 192*T1^5*T2 + 128*T1^7*T2 - 104*T1^8*T2 + 16*T1^9*T2 - 
      60*T2^2 + 352*T1*T2^2 - 196*T1^2*T2^2 - 599*T1^3*T2^2 + 
      1460*T1^4*T2^2 - 1826*T1^5*T2^2 + 1980*T1^6*T2^2 - 1479*T1^7*T2^2 + 
      564*T1^8*T2^2 + 32*T1^9*T2^2 - 20*T1^10*T2^2 + 90*T2^3 - 400*T1*T2^3 - 
      599*T1^2*T2^3 + 2394*T1^3*T2^3 - 3376*T1^4*T2^3 + 3028*T1^5*T2^3 - 
      2552*T1^6*T2^3 + 934*T1^7*T2^3 + 704*T1^8*T2^3 - 959*T1^9*T2^3 + 
      160*T1^10*T2^3 - 99*T2^4 + 312*T1*T2^4 + 1460*T1^2*T2^4 - 
      3376*T1^3*T2^4 + 3245*T1^4*T2^4 - 1647*T1^5*T2^4 + 711*T1^6*T2^4 + 
      1689*T1^7*T2^4 - 3091*T1^8*T2^4 + 1784*T1^9*T2^4 + 260*T1^10*T2^4 - 
      264*T1^11*T2^4 + 33*T1^12*T2^4 + 90*T2^5 - 192*T1*T2^5 - 
      1826*T1^2*T2^5 + 3028*T1^3*T2^5 - 1647*T1^4*T2^5 - 72*T1^5*T2^5 + 
      190*T1^6*T2^5 - 2210*T1^7*T2^5 + 2106*T1^8*T2^5 + 1155*T1^9*T2^5 - 
      2912*T1^10*T2^5 + 910*T1^11*T2^5 + 216*T1^12*T2^5 - 60*T1^13*T2^5 - 
      60*T2^6 + 1980*T1^2*T2^6 - 2552*T1^3*T2^6 + 711*T1^4*T2^6 + 
      190*T1^5*T2^6 + 49*T1^6*T2^6 + 2379*T1^7*T2^6 - 1631*T1^8*T2^6 - 
      1730*T1^9*T2^6 + 951*T1^10*T2^6 + 2488*T1^11*T2^6 - 1980*T1^12*T2^6 + 
      60*T1^14*T2^6 + 24*T2^7 + 128*T1*T2^7 - 1479*T1^2*T2^7 + 
      934*T1^3*T2^7 + 1689*T1^4*T2^7 - 2210*T1^5*T2^7 + 2379*T1^6*T2^7 - 
      4154*T1^7*T2^7 + 1580*T1^8*T2^7 + 1759*T1^9*T2^7 + 1150*T1^10*T2^7 - 
      3249*T1^11*T2^7 + 24*T1^12*T2^7 + 2001*T1^13*T2^7 - 224*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 564*T1^2*T2^8 + 704*T1^3*T2^8 - 
      3091*T1^4*T2^8 + 2106*T1^5*T2^8 - 1631*T1^6*T2^8 + 1580*T1^7*T2^8 + 
      1524*T1^8*T2^8 - 2988*T1^9*T2^8 - 1391*T1^10*T2^8 + 738*T1^11*T2^8 + 
      3253*T1^12*T2^8 - 2856*T1^13*T2^8 - 748*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 959*T1^3*T2^9 + 
      1784*T1^4*T2^9 + 1155*T1^5*T2^9 - 1730*T1^6*T2^9 + 1759*T1^7*T2^9 - 
      2988*T1^8*T2^9 + 2746*T1^9*T2^9 + 1139*T1^10*T2^9 + 1630*T1^11*T2^9 - 
      3783*T1^12*T2^9 + 874*T1^13*T2^9 + 2521*T1^14*T2^9 - 320*T1^15*T2^9 - 
      40*T1^16*T2^9 - 20*T1^2*T2^10 + 160*T1^3*T2^10 + 260*T1^4*T2^10 - 
      2912*T1^5*T2^10 + 951*T1^6*T2^10 + 1150*T1^7*T2^10 - 1391*T1^8*T2^10 + 
      1139*T1^9*T2^10 - 3071*T1^10*T2^10 - 770*T1^11*T2^10 + 
      1191*T1^12*T2^10 + 2128*T1^13*T2^10 - 3700*T1^14*T2^10 + 
      160*T1^15*T2^10 + 100*T1^16*T2^10 - 264*T1^4*T2^11 + 910*T1^5*T2^11 + 
      2488*T1^6*T2^11 - 3249*T1^7*T2^11 + 738*T1^8*T2^11 + 1630*T1^9*T2^11 - 
      770*T1^10*T2^11 + 2916*T1^11*T2^11 - 447*T1^12*T2^11 - 
      3452*T1^13*T2^11 + 3646*T1^14*T2^11 + 144*T1^15*T2^11 - 
      150*T1^16*T2^11 + 33*T1^4*T2^12 + 216*T1^5*T2^12 - 1980*T1^6*T2^12 + 
      24*T1^7*T2^12 + 3253*T1^8*T2^12 - 3783*T1^9*T2^12 + 1191*T1^10*T2^12 - 
      447*T1^11*T2^12 - 3083*T1^12*T2^12 + 5184*T1^13*T2^12 - 
      3180*T1^14*T2^12 - 360*T1^15*T2^12 + 165*T1^16*T2^12 - 60*T1^5*T2^13 + 
      2001*T1^7*T2^13 - 2856*T1^8*T2^13 + 874*T1^9*T2^13 + 2128*T1^10*T2^13 - 
      3452*T1^11*T2^13 + 5184*T1^12*T2^13 - 4546*T1^13*T2^13 + 
      1641*T1^14*T2^13 + 560*T1^15*T2^13 - 150*T1^16*T2^13 + 60*T1^6*T2^14 - 
      224*T1^7*T2^14 - 748*T1^8*T2^14 + 2521*T1^9*T2^14 - 3700*T1^10*T2^14 + 
      3646*T1^11*T2^14 - 3180*T1^12*T2^14 + 1641*T1^13*T2^14 + 
      12*T1^14*T2^14 - 544*T1^15*T2^14 + 100*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 320*T1^9*T2^15 + 160*T1^10*T2^15 + 144*T1^11*T2^15 - 
      360*T1^12*T2^15 + 560*T1^13*T2^15 - 544*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 100*T1^10*T2^16 - 
      150*T1^11*T2^16 + 165*T1^12*T2^16 - 150*T1^13*T2^16 + 100*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 51] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 7*T + 11*T^2 - 7*T^3 + T^4))/T^3), 
   -((-23 + 196*T1 - 520*T1^2 + 705*T1^3 - 520*T1^4 + 196*T1^5 - 23*T1^6 + 
      196*T2 - 1542*T1*T2 + 3338*T1^2*T2 - 3106*T1^3*T2 + 498*T1^4*T2 + 
      1230*T1^5*T2 - 896*T1^6*T2 + 128*T1^7*T2 - 520*T2^2 + 3338*T1*T2^2 - 
      2612*T1^2*T2^2 - 7367*T1^3*T2^2 + 18030*T1^4*T2^2 - 15287*T1^5*T2^2 + 
      5128*T1^6*T2^2 + 278*T1^7*T2^2 - 160*T1^8*T2^2 + 705*T2^3 - 
      3106*T1*T2^3 - 7367*T1^2*T2^3 + 32179*T1^3*T2^3 - 41546*T1^4*T2^3 + 
      16852*T1^5*T2^3 + 7807*T1^6*T2^3 - 9302*T1^7*T2^3 + 1586*T1^8*T2^3 - 
      27*T1^9*T2^3 - 520*T2^4 + 498*T1*T2^4 + 18030*T1^2*T2^4 - 
      41546*T1^3*T2^4 + 23998*T1^4*T2^4 + 31060*T1^5*T2^4 - 51778*T1^6*T2^4 + 
      25676*T1^7*T2^4 - 1028*T1^8*T2^4 - 1474*T1^9*T2^4 + 200*T1^10*T2^4 + 
      196*T2^5 + 1230*T1*T2^5 - 15287*T1^2*T2^5 + 16852*T1^3*T2^5 + 
      31060*T1^4*T2^5 - 85662*T1^5*T2^5 + 66248*T1^6*T2^5 - 2195*T1^7*T2^5 - 
      23898*T1^8*T2^5 + 10588*T1^9*T2^5 - 470*T1^10*T2^5 - 144*T1^11*T2^5 - 
      23*T2^6 - 896*T1*T2^6 + 5128*T1^2*T2^6 + 7807*T1^3*T2^6 - 
      51778*T1^4*T2^6 + 66248*T1^5*T2^6 - 4464*T1^6*T2^6 - 62652*T1^7*T2^6 + 
      52936*T1^8*T2^6 - 10487*T1^9*T2^6 - 5344*T1^10*T2^6 + 1008*T1^11*T2^6 + 
      25*T1^12*T2^6 + 128*T1*T2^7 + 278*T1^2*T2^7 - 9302*T1^3*T2^7 + 
      25676*T1^4*T2^7 - 2195*T1^5*T2^7 - 62652*T1^6*T2^7 + 89258*T1^7*T2^7 - 
      35450*T1^8*T2^7 - 15074*T1^9*T2^7 + 16573*T1^10*T2^7 - 
      1422*T1^11*T2^7 - 212*T1^12*T2^7 - 160*T1^2*T2^8 + 1586*T1^3*T2^8 - 
      1028*T1^4*T2^8 - 23898*T1^5*T2^8 + 52936*T1^6*T2^8 - 35450*T1^7*T2^8 - 
      22840*T1^8*T2^8 + 43324*T1^9*T2^8 - 20086*T1^10*T2^8 - 386*T1^11*T2^8 + 
      560*T1^12*T2^8 - 27*T1^3*T2^9 - 1474*T1^4*T2^9 + 10588*T1^5*T2^9 - 
      10487*T1^6*T2^9 - 15074*T1^7*T2^9 + 43324*T1^8*T2^9 - 34859*T1^9*T2^9 + 
      8653*T1^10*T2^9 + 3218*T1^11*T2^9 - 759*T1^12*T2^9 + 200*T1^4*T2^10 - 
      470*T1^5*T2^10 - 5344*T1^6*T2^10 + 16573*T1^7*T2^10 - 
      20086*T1^8*T2^10 + 8653*T1^9*T2^10 + 2396*T1^10*T2^10 - 
      3530*T1^11*T2^10 + 560*T1^12*T2^10 - 144*T1^5*T2^11 + 1008*T1^6*T2^11 - 
      1422*T1^7*T2^11 - 386*T1^8*T2^11 + 3218*T1^9*T2^11 - 3530*T1^10*T2^11 + 
      1654*T1^11*T2^11 - 212*T1^12*T2^11 + 25*T1^6*T2^12 - 212*T1^7*T2^12 + 
      560*T1^8*T2^12 - 759*T1^9*T2^12 + 560*T1^10*T2^12 - 212*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 52] -> 
  {(3 - 9*T + 15*T^2 - 18*T^3 + 19*T^4 - 18*T^5 + 15*T^6 - 9*T^7 + 3*T^8)/
    T^4, -((219 - 651*T1 + 1079*T1^2 - 1290*T1^3 + 1361*T1^4 - 1290*T1^5 + 
      1079*T1^6 - 651*T1^7 + 219*T1^8 - 651*T2 + 1373*T1*T2 - 1530*T1^2*T2 + 
      1044*T1^3*T2 - 700*T1^4*T2 + 299*T1^5*T2 + 153*T1^6*T2 - 882*T1^7*T2 + 
      1049*T1^8*T2 - 570*T1^9*T2 + 1079*T2^2 - 1530*T1*T2^2 + 
      1068*T1^2*T2^2 - 304*T1^3*T2^2 + 524*T1^4*T2^2 - 386*T1^5*T2^2 + 
      164*T1^6*T2^2 + 506*T1^7*T2^2 - 12*T1^8*T2^2 - 720*T1^9*T2^2 + 
      809*T1^10*T2^2 - 1290*T2^3 + 1044*T1*T2^3 - 304*T1^2*T2^3 - 
      113*T1^3*T2^3 - 732*T1^4*T2^3 + 293*T1^5*T2^3 - 58*T1^6*T2^3 - 
      651*T1^7*T2^3 - 275*T1^8*T2^3 + 506*T1^9*T2^3 - 9*T1^10*T2^3 - 
      804*T1^11*T2^3 + 1361*T2^4 - 700*T1*T2^4 + 524*T1^2*T2^4 - 
      732*T1^3*T2^4 + 1780*T1^4*T2^4 - 838*T1^5*T2^4 + 824*T1^6*T2^4 - 
      82*T1^7*T2^4 + 1048*T1^8*T2^4 - 516*T1^9*T2^4 + 20*T1^10*T2^4 + 
      380*T1^11*T2^4 + 677*T1^12*T2^4 - 1290*T2^5 + 299*T1*T2^5 - 
      386*T1^2*T2^5 + 293*T1^3*T2^5 - 838*T1^4*T2^5 - 415*T1^5*T2^5 - 
      82*T1^6*T2^5 - 541*T1^7*T2^5 - 631*T1^8*T2^5 - T1^9*T2^5 - 
      112*T1^10*T2^5 - 143*T1^11*T2^5 - 592*T1^12*T2^5 - 480*T1^13*T2^5 + 
      1079*T2^6 + 153*T1*T2^6 + 164*T1^2*T2^6 - 58*T1^3*T2^6 + 
      824*T1^4*T2^6 - 82*T1^5*T2^6 + 1107*T1^6*T2^6 - 395*T1^7*T2^6 + 
      1419*T1^8*T2^6 - 460*T1^9*T2^6 + 518*T1^10*T2^6 + 212*T1^11*T2^6 + 
      236*T1^12*T2^6 + 639*T1^13*T2^6 + 269*T1^14*T2^6 - 651*T2^7 - 
      882*T1*T2^7 + 506*T1^2*T2^7 - 651*T1^3*T2^7 - 82*T1^4*T2^7 - 
      541*T1^5*T2^7 - 395*T1^6*T2^7 - 430*T1^7*T2^7 - 574*T1^8*T2^7 - 
      341*T1^9*T2^7 + 80*T1^10*T2^7 - 595*T1^11*T2^7 - 192*T1^12*T2^7 - 
      304*T1^13*T2^7 - 558*T1^14*T2^7 - 84*T1^15*T2^7 + 219*T2^8 + 
      1049*T1*T2^8 - 12*T1^2*T2^8 - 275*T1^3*T2^8 + 1048*T1^4*T2^8 - 
      631*T1^5*T2^8 + 1419*T1^6*T2^8 - 574*T1^7*T2^8 + 1296*T1^8*T2^8 - 
      250*T1^9*T2^8 + 519*T1^10*T2^8 - 145*T1^11*T2^8 + 760*T1^12*T2^8 - 
      113*T1^13*T2^8 + 582*T1^14*T2^8 + 239*T1^15*T2^8 + 3*T1^16*T2^8 - 
      570*T1*T2^9 - 720*T1^2*T2^9 + 506*T1^3*T2^9 - 516*T1^4*T2^9 - 
      T1^5*T2^9 - 460*T1^6*T2^9 - 341*T1^7*T2^9 - 250*T1^8*T2^9 - 
      394*T1^9*T2^9 - 287*T1^10*T2^9 + 161*T1^11*T2^9 - 514*T1^12*T2^9 - 
      57*T1^13*T2^9 - 304*T1^14*T2^9 - 396*T1^15*T2^9 - 3*T1^16*T2^9 + 
      809*T1^2*T2^10 - 9*T1^3*T2^10 + 20*T1^4*T2^10 - 112*T1^5*T2^10 + 
      518*T1^6*T2^10 + 80*T1^7*T2^10 + 519*T1^8*T2^10 - 287*T1^9*T2^10 + 
      831*T1^10*T2^10 - 298*T1^11*T2^10 + 212*T1^12*T2^10 + 158*T1^13*T2^10 + 
      92*T1^14*T2^10 + 477*T1^15*T2^10 - T1^16*T2^10 - 804*T1^3*T2^11 + 
      380*T1^4*T2^11 - 143*T1^5*T2^11 + 212*T1^6*T2^11 - 595*T1^7*T2^11 - 
      145*T1^8*T2^11 + 161*T1^9*T2^11 - 298*T1^10*T2^11 - 361*T1^11*T2^11 + 
      242*T1^12*T2^11 - 193*T1^13*T2^11 + 100*T1^14*T2^11 - 511*T1^15*T2^11 + 
      6*T1^16*T2^11 + 677*T1^4*T2^12 - 592*T1^5*T2^12 + 236*T1^6*T2^12 - 
      192*T1^7*T2^12 + 760*T1^8*T2^12 - 514*T1^9*T2^12 + 212*T1^10*T2^12 + 
      242*T1^11*T2^12 + 28*T1^12*T2^12 + 24*T1^13*T2^12 - 268*T1^14*T2^12 + 
      488*T1^15*T2^12 - 7*T1^16*T2^12 - 480*T1^5*T2^13 + 639*T1^6*T2^13 - 
      304*T1^7*T2^13 - 113*T1^8*T2^13 - 57*T1^9*T2^13 + 158*T1^10*T2^13 - 
      193*T1^11*T2^13 + 24*T1^12*T2^13 - 275*T1^13*T2^13 + 506*T1^14*T2^13 - 
      414*T1^15*T2^13 + 6*T1^16*T2^13 + 269*T1^6*T2^14 - 558*T1^7*T2^14 + 
      582*T1^8*T2^14 - 304*T1^9*T2^14 + 92*T1^10*T2^14 + 100*T1^11*T2^14 - 
      268*T1^12*T2^14 + 506*T1^13*T2^14 - 498*T1^14*T2^14 + 252*T1^15*T2^14 - 
      T1^16*T2^14 - 84*T1^7*T2^15 + 239*T1^8*T2^15 - 396*T1^9*T2^15 + 
      477*T1^10*T2^15 - 511*T1^11*T2^15 + 488*T1^12*T2^15 - 414*T1^13*T2^15 + 
      252*T1^14*T2^15 - 85*T1^15*T2^15 - 3*T1^16*T2^15 + 3*T1^8*T2^16 - 
      3*T1^9*T2^16 - T1^10*T2^16 + 6*T1^11*T2^16 - 7*T1^12*T2^16 + 
      6*T1^13*T2^16 - T1^14*T2^16 - 3*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 53] -> 
  {((2 - 3*T + 2*T^2)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^3, 
   -((1347 - 4653*T1 + 8351*T1^2 - 9853*T1^3 + 8351*T1^4 - 4653*T1^5 + 
      1347*T1^6 - 4653*T2 + 12244*T1*T2 - 15566*T1^2*T2 + 10064*T1^3*T2 - 
      394*T1^4*T2 - 8132*T1^5*T2 + 8842*T1^6*T2 - 3897*T1^7*T2 + 8351*T2^2 - 
      15566*T1*T2^2 + 10937*T1^2*T2^2 + 3690*T1^3*T2^2 - 13307*T1^4*T2^2 + 
      14634*T1^5*T2^2 - 3655*T1^6*T2^2 - 5990*T1^7*T2^2 + 5615*T1^8*T2^2 - 
      9853*T2^3 + 10064*T1*T2^3 + 3690*T1^2*T2^3 - 17718*T1^3*T2^3 + 
      14306*T1^4*T2^3 - 4138*T1^5*T2^3 - 11946*T1^6*T2^3 + 12924*T1^7*T2^3 - 
      2158*T1^8*T2^3 - 4993*T1^9*T2^3 + 8351*T2^4 - 394*T1*T2^4 - 
      13307*T1^2*T2^4 + 14306*T1^3*T2^4 + 3144*T1^4*T2^4 - 13236*T1^5*T2^4 + 
      19320*T1^6*T2^4 - 5134*T1^7*T2^4 - 8273*T1^8*T2^4 + 7418*T1^9*T2^4 + 
      2879*T1^10*T2^4 - 4653*T2^5 - 8132*T1*T2^5 + 14634*T1^2*T2^5 - 
      4138*T1^3*T2^5 - 13236*T1^4*T2^5 + 11406*T1^5*T2^5 - 6288*T1^6*T2^5 - 
      10500*T1^7*T2^5 + 12314*T1^8*T2^5 - 1440*T1^9*T2^5 - 6998*T1^10*T2^5 - 
      873*T1^11*T2^5 + 1347*T2^6 + 8842*T1*T2^6 - 3655*T1^2*T2^6 - 
      11946*T1^3*T2^6 + 19320*T1^4*T2^6 - 6288*T1^5*T2^6 - 2052*T1^6*T2^6 + 
      11112*T1^7*T2^6 - 1924*T1^8*T2^6 - 8610*T1^9*T2^6 + 7853*T1^10*T2^6 + 
      2794*T1^11*T2^6 + 51*T1^12*T2^6 - 3897*T1*T2^7 - 5990*T1^2*T2^7 + 
      12924*T1^3*T2^7 - 5134*T1^4*T2^7 - 10500*T1^5*T2^7 + 11112*T1^6*T2^7 - 
      6582*T1^7*T2^7 - 7764*T1^8*T2^7 + 11318*T1^9*T2^7 - 3150*T1^10*T2^7 - 
      4856*T1^11*T2^7 - 117*T1^12*T2^7 + 5615*T1^2*T2^8 - 2158*T1^3*T2^8 - 
      8273*T1^4*T2^8 + 12314*T1^5*T2^8 - 1924*T1^6*T2^8 - 7764*T1^7*T2^8 + 
      14252*T1^8*T2^8 - 7126*T1^9*T2^8 - 3239*T1^10*T2^8 + 5654*T1^11*T2^8 + 
      143*T1^12*T2^8 - 4993*T1^3*T2^9 + 7418*T1^4*T2^9 - 1440*T1^5*T2^9 - 
      8610*T1^6*T2^9 + 11318*T1^7*T2^9 - 7126*T1^8*T2^9 - 2838*T1^9*T2^9 + 
      7794*T1^10*T2^9 - 4804*T1^11*T2^9 - 133*T1^12*T2^9 + 2879*T1^4*T2^10 - 
      6998*T1^5*T2^10 + 7853*T1^6*T2^10 - 3150*T1^7*T2^10 - 3239*T1^8*T2^10 + 
      7794*T1^9*T2^10 - 6739*T1^10*T2^10 + 2578*T1^11*T2^10 + 
      143*T1^12*T2^10 - 873*T1^5*T2^11 + 2794*T1^6*T2^11 - 4856*T1^7*T2^11 + 
      5654*T1^8*T2^11 - 4804*T1^9*T2^11 + 2578*T1^10*T2^11 - 
      608*T1^11*T2^11 - 117*T1^12*T2^11 + 51*T1^6*T2^12 - 117*T1^7*T2^12 + 
      143*T1^8*T2^12 - 133*T1^9*T2^12 + 143*T1^10*T2^12 - 117*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 54] -> 
  {-(((-3 + 5*T - 4*T^2 + T^3)*(-1 + 4*T - 5*T^2 + 3*T^3))/T^3), 
   -((-84 + 478*T1 - 1096*T1^2 + 1434*T1^3 - 1096*T1^4 + 478*T1^5 - 84*T1^6 + 
      478*T2 - 2399*T1*T2 + 4394*T1^2*T2 - 3918*T1^3*T2 + 672*T1^4*T2 + 
      1538*T1^5*T2 - 1379*T1^6*T2 + 325*T1^7*T2 - 1096*T2^2 + 4394*T1*T2^2 - 
      4127*T1^2*T2^2 - 3320*T1^3*T2^2 + 12331*T1^4*T2^2 - 11276*T1^5*T2^2 + 
      4297*T1^6*T2^2 + 416*T1^7*T2^2 - 394*T1^8*T2^2 + 1434*T2^3 - 
      3918*T1*T2^3 - 3320*T1^2*T2^3 + 18316*T1^3*T2^3 - 24738*T1^4*T2^3 + 
      9228*T1^5*T2^3 + 5974*T1^6*T2^3 - 7961*T1^7*T2^3 + 1896*T1^8*T2^3 + 
      57*T1^9*T2^3 - 1096*T2^4 + 672*T1*T2^4 + 12331*T1^2*T2^4 - 
      24738*T1^3*T2^4 + 15274*T1^4*T2^4 + 16036*T1^5*T2^4 - 26834*T1^6*T2^4 + 
      13818*T1^7*T2^4 + 1105*T1^8*T2^4 - 2082*T1^9*T2^4 + 308*T1^10*T2^4 + 
      478*T2^5 + 1538*T1*T2^5 - 11276*T1^2*T2^5 + 9228*T1^3*T2^5 + 
      16036*T1^4*T2^5 - 43159*T1^5*T2^5 + 29567*T1^6*T2^5 + 2113*T1^7*T2^5 - 
      15558*T1^8*T2^5 + 6625*T1^9*T2^5 - 94*T1^10*T2^5 - 287*T1^11*T2^5 - 
      84*T2^6 - 1379*T1*T2^6 + 4297*T1^2*T2^6 + 5974*T1^3*T2^6 - 
      26834*T1^4*T2^6 + 29567*T1^5*T2^6 + 4512*T1^6*T2^6 - 33163*T1^7*T2^6 + 
      25828*T1^8*T2^6 - 3410*T1^9*T2^6 - 4123*T1^10*T2^6 + 1171*T1^11*T2^6 + 
      78*T1^12*T2^6 + 325*T1*T2^7 + 416*T1^2*T2^7 - 7961*T1^3*T2^7 + 
      13818*T1^4*T2^7 + 2113*T1^5*T2^7 - 33163*T1^6*T2^7 + 39563*T1^7*T2^7 - 
      11810*T1^8*T2^7 - 10968*T1^9*T2^7 + 9940*T1^10*T2^7 - 1216*T1^11*T2^7 - 
      440*T1^12*T2^7 - 394*T1^2*T2^8 + 1896*T1^3*T2^8 + 1105*T1^4*T2^8 - 
      15558*T1^5*T2^8 + 25828*T1^6*T2^8 - 11810*T1^7*T2^8 - 16280*T1^8*T2^8 + 
      22998*T1^9*T2^8 - 10121*T1^10*T2^8 - 858*T1^11*T2^8 + 1010*T1^12*T2^8 + 
      57*T1^3*T2^9 - 2082*T1^4*T2^9 + 6625*T1^5*T2^9 - 3410*T1^6*T2^9 - 
      10968*T1^7*T2^9 + 22998*T1^8*T2^9 - 15752*T1^9*T2^9 + 1984*T1^10*T2^9 + 
      3732*T1^11*T2^9 - 1320*T1^12*T2^9 + 308*T1^4*T2^10 - 94*T1^5*T2^10 - 
      4123*T1^6*T2^10 + 9940*T1^7*T2^10 - 10121*T1^8*T2^10 + 
      1984*T1^9*T2^10 + 4301*T1^10*T2^10 - 4072*T1^11*T2^10 + 
      1010*T1^12*T2^10 - 287*T1^5*T2^11 + 1171*T1^6*T2^11 - 1216*T1^7*T2^11 - 
      858*T1^8*T2^11 + 3732*T1^9*T2^11 - 4072*T1^10*T2^11 + 
      2191*T1^11*T2^11 - 440*T1^12*T2^11 + 78*T1^6*T2^12 - 440*T1^7*T2^12 + 
      1010*T1^8*T2^12 - 1320*T1^9*T2^12 + 1010*T1^10*T2^12 - 
      440*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 55] -> 
  {(5 - 18*T + 34*T^2 - 41*T^3 + 34*T^4 - 18*T^5 + 5*T^6)/T^3, 
   -((790 - 2814*T1 + 5288*T1^2 - 6362*T1^3 + 5288*T1^4 - 2814*T1^5 + 
      790*T1^6 - 2814*T2 + 7686*T1*T2 - 10482*T1^2*T2 + 6915*T1^3*T2 + 
      165*T1^4*T2 - 5802*T1^5*T2 + 5616*T1^6*T2 - 2364*T1^7*T2 + 5288*T2^2 - 
      10482*T1*T2^2 + 8901*T1^2*T2^2 + 1528*T1^3*T2^2 - 9299*T1^4*T2^2 + 
      9348*T1^5*T2^2 - 959*T1^6*T2^2 - 4362*T1^7*T2^2 + 3588*T1^8*T2^2 - 
      6362*T2^3 + 6915*T1*T2^3 + 1528*T1^2*T2^3 - 13675*T1^3*T2^3 + 
      11987*T1^4*T2^3 - 1933*T1^5*T2^3 - 10141*T1^6*T2^3 + 8362*T1^7*T2^3 - 
      1095*T1^8*T2^3 - 3287*T1^9*T2^3 + 5288*T2^4 + 165*T1*T2^4 - 
      9299*T1^2*T2^4 + 11987*T1^3*T2^4 + 3465*T1^4*T2^4 - 15225*T1^5*T2^4 + 
      17693*T1^6*T2^4 - 2937*T1^7*T2^4 - 5851*T1^8*T2^4 + 5025*T1^9*T2^4 + 
      1888*T1^10*T2^4 - 2814*T2^5 - 5802*T1*T2^5 + 9348*T1^2*T2^5 - 
      1933*T1^3*T2^5 - 15225*T1^4*T2^5 + 14834*T1^5*T2^5 - 4594*T1^6*T2^5 - 
      11893*T1^7*T2^5 + 9979*T1^8*T2^5 - 1430*T1^9*T2^5 - 4722*T1^10*T2^5 - 
      564*T1^11*T2^5 + 790*T2^6 + 5616*T1*T2^6 - 959*T1^2*T2^6 - 
      10141*T1^3*T2^6 + 17693*T1^4*T2^6 - 4594*T1^5*T2^6 - 7812*T1^6*T2^6 + 
      13698*T1^7*T2^6 - 1319*T1^8*T2^6 - 6439*T1^9*T2^6 + 5709*T1^10*T2^6 + 
      1836*T1^11*T2^6 + 40*T1^12*T2^6 - 2364*T1*T2^7 - 4362*T1^2*T2^7 + 
      8362*T1^3*T2^7 - 2937*T1^4*T2^7 - 11893*T1^5*T2^7 + 13698*T1^6*T2^7 - 
      5730*T1^7*T2^7 - 8561*T1^8*T2^7 + 8975*T1^9*T2^7 - 2416*T1^10*T2^7 - 
      3282*T1^11*T2^7 - 114*T1^12*T2^7 + 3588*T1^2*T2^8 - 1095*T1^3*T2^8 - 
      5851*T1^4*T2^8 + 9979*T1^5*T2^8 - 1319*T1^6*T2^8 - 8561*T1^7*T2^8 + 
      12909*T1^8*T2^8 - 4945*T1^9*T2^8 - 2403*T1^10*T2^8 + 3765*T1^11*T2^8 + 
      188*T1^12*T2^8 - 3287*T1^3*T2^9 + 5025*T1^4*T2^9 - 1430*T1^5*T2^9 - 
      6439*T1^6*T2^9 + 8975*T1^7*T2^9 - 4945*T1^8*T2^9 - 2905*T1^9*T2^9 + 
      5404*T1^10*T2^9 - 2985*T1^11*T2^9 - 212*T1^12*T2^9 + 1888*T1^4*T2^10 - 
      4722*T1^5*T2^10 + 5709*T1^6*T2^10 - 2416*T1^7*T2^10 - 2403*T1^8*T2^10 + 
      5404*T1^9*T2^10 - 4151*T1^10*T2^10 + 1398*T1^11*T2^10 + 
      188*T1^12*T2^10 - 564*T1^5*T2^11 + 1836*T1^6*T2^11 - 3282*T1^7*T2^11 + 
      3765*T1^8*T2^11 - 2985*T1^9*T2^11 + 1398*T1^10*T2^11 - 
      234*T1^11*T2^11 - 114*T1^12*T2^11 + 40*T1^6*T2^12 - 114*T1^7*T2^12 + 
      188*T1^8*T2^12 - 212*T1^9*T2^12 + 188*T1^10*T2^12 - 114*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 56] -> {(7 - 22*T + 31*T^2 - 22*T^3 + 7*T^4)/T^2, 
   -((1561 - 4850*T1 + 6821*T1^2 - 4850*T1^3 + 1561*T1^4 - 4850*T2 + 
      11326*T1*T2 - 9532*T1^2*T2 - 1370*T1^3*T2 + 6860*T1^4*T2 - 
      3772*T1^5*T2 + 6821*T2^2 - 9532*T1*T2^2 - 2888*T1^2*T2^2 + 
      18536*T1^3*T2^2 - 13304*T1^4*T2^2 + 16*T1^5*T2^2 + 3783*T1^6*T2^2 - 
      4850*T2^3 - 1370*T1*T2^3 + 18536*T1^2*T2^3 - 22534*T1^3*T2^3 + 
      214*T1^4*T2^3 + 13080*T1^5*T2^3 - 6760*T1^6*T2^3 - 1616*T1^7*T2^3 + 
      1561*T2^4 + 6860*T1*T2^4 - 13304*T1^2*T2^4 + 214*T1^3*T2^4 + 
      22236*T1^4*T2^4 - 18706*T1^5*T2^4 + 1916*T1^6*T2^4 + 4396*T1^7*T2^4 + 
      189*T1^8*T2^4 - 3772*T1*T2^5 + 16*T1^2*T2^5 + 13080*T1^3*T2^5 - 
      18706*T1^4*T2^5 + 4042*T1^5*T2^5 + 7624*T1^6*T2^5 - 5374*T1^7*T2^5 - 
      538*T1^8*T2^5 + 3783*T1^2*T2^6 - 6760*T1^3*T2^6 + 1916*T1^4*T2^6 + 
      7624*T1^5*T2^6 - 8500*T1^6*T2^6 + 2788*T1^7*T2^6 + 745*T1^8*T2^6 - 
      1616*T1^3*T2^7 + 4396*T1^4*T2^7 - 5374*T1^5*T2^7 + 2788*T1^6*T2^7 - 
      70*T1^7*T2^7 - 538*T1^8*T2^7 + 189*T1^4*T2^8 - 538*T1^5*T2^8 + 
      745*T1^6*T2^8 - 538*T1^7*T2^8 + 189*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 57] -> 
  {-((3 - 17*T + 41*T^2 - 55*T^3 + 41*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((-78 + 440*T1 - 1058*T1^2 + 1416*T1^3 - 1058*T1^4 + 440*T1^5 - 78*T1^6 + 
      440*T2 - 2195*T1*T2 + 4354*T1^2*T2 - 4112*T1^3*T2 + 784*T1^4*T2 + 
      1396*T1^5*T2 - 1175*T1^6*T2 + 287*T1^7*T2 - 1058*T2^2 + 4354*T1*T2^2 - 
      5567*T1^2*T2^2 - 900*T1^3*T2^2 + 10675*T1^4*T2^2 - 10248*T1^5*T2^2 + 
      3781*T1^6*T2^2 + 172*T1^7*T2^2 - 320*T1^8*T2^2 + 1416*T2^3 - 
      4112*T1*T2^3 - 900*T1^2*T2^3 + 16874*T1^3*T2^3 - 26752*T1^4*T2^3 + 
      11450*T1^5*T2^3 + 5158*T1^6*T2^3 - 7255*T1^7*T2^3 + 2212*T1^8*T2^3 - 
      69*T1^9*T2^3 - 1058*T2^4 + 784*T1*T2^4 + 10675*T1^2*T2^4 - 
      26752*T1^3*T2^4 + 19771*T1^4*T2^4 + 16811*T1^5*T2^4 - 32593*T1^6*T2^4 + 
      17248*T1^7*T2^4 - 943*T1^8*T2^4 - 1970*T1^9*T2^4 + 418*T1^10*T2^4 + 
      440*T2^5 + 1396*T1*T2^5 - 10248*T1^2*T2^5 + 11450*T1^3*T2^5 + 
      16811*T1^4*T2^5 - 54873*T1^5*T2^5 + 45429*T1^6*T2^5 - 3156*T1^7*T2^5 - 
      15156*T1^8*T2^5 + 8079*T1^9*T2^5 - 542*T1^10*T2^5 - 325*T1^11*T2^5 - 
      78*T2^6 - 1175*T1*T2^6 + 3781*T1^2*T2^6 + 5158*T1^3*T2^6 - 
      32593*T1^4*T2^6 + 45429*T1^5*T2^6 - 8040*T1^6*T2^6 - 39317*T1^7*T2^6 + 
      33797*T1^8*T2^6 - 7570*T1^9*T2^6 - 3571*T1^10*T2^6 + 1375*T1^11*T2^6 + 
      84*T1^12*T2^6 + 287*T1*T2^7 + 172*T1^2*T2^7 - 7255*T1^3*T2^7 + 
      17248*T1^4*T2^7 - 3156*T1^5*T2^7 - 39317*T1^6*T2^7 + 60985*T1^7*T2^7 - 
      23123*T1^8*T2^7 - 9358*T1^9*T2^7 + 11072*T1^10*T2^7 - 1766*T1^11*T2^7 - 
      478*T1^12*T2^7 - 320*T1^2*T2^8 + 2212*T1^3*T2^8 - 943*T1^4*T2^8 - 
      15156*T1^5*T2^8 + 33797*T1^6*T2^8 - 23123*T1^7*T2^8 - 18567*T1^8*T2^8 + 
      28844*T1^9*T2^8 - 12561*T1^10*T2^8 - 542*T1^11*T2^8 + 1156*T1^12*T2^8 - 
      69*T1^3*T2^9 - 1970*T1^4*T2^9 + 8079*T1^5*T2^9 - 7570*T1^6*T2^9 - 
      9358*T1^7*T2^9 + 28844*T1^8*T2^9 - 19286*T1^9*T2^9 + 1724*T1^10*T2^9 + 
      4354*T1^11*T2^9 - 1554*T1^12*T2^9 + 418*T1^4*T2^10 - 542*T1^5*T2^10 - 
      3571*T1^6*T2^10 + 11072*T1^7*T2^10 - 12561*T1^8*T2^10 + 
      1724*T1^9*T2^10 + 5777*T1^10*T2^10 - 4724*T1^11*T2^10 + 
      1156*T1^12*T2^10 - 325*T1^5*T2^11 + 1375*T1^6*T2^11 - 1766*T1^7*T2^11 - 
      542*T1^8*T2^11 + 4354*T1^9*T2^11 - 4724*T1^10*T2^11 + 
      2395*T1^11*T2^11 - 478*T1^12*T2^11 + 84*T1^6*T2^12 - 478*T1^7*T2^12 + 
      1156*T1^8*T2^12 - 1554*T1^9*T2^12 + 1156*T1^10*T2^12 - 
      478*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 58] -> 
  {(1 - 7*T + 23*T^2 - 44*T^3 + 55*T^4 - 44*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   ((1 - 7*T1 + 23*T1^2 - 44*T1^3 + 55*T1^4 - 44*T1^5 + 23*T1^6 - 7*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 21*T1*T2 + 50*T1^2*T2^2 - 65*T1^3*T2^3 + 
      50*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 7*T2 + 23*T2^2 - 
      44*T2^3 + 55*T2^4 - 44*T2^5 + 23*T2^6 - 7*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 59] -> 
  {-((1 - 8*T + 28*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 140*T1^2 + 285*T1^3 - 355*T1^4 + 285*T1^5 - 
      140*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 864*T1^2*T2 - 
      1384*T1^3*T2 + 1016*T1^4*T2 - 8*T1^5*T2 - 704*T1^6*T2 + 576*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 140*T2^2 + 864*T1*T2^2 - 1956*T1^2*T2^2 + 
      1484*T1^3*T2^2 + 2301*T1^4*T2^2 - 5410*T1^5*T2^2 + 4709*T1^6*T2^2 - 
      1260*T1^7*T2^2 - 444*T1^8*T2^2 + 416*T1^9*T2^2 - 84*T1^10*T2^2 + 
      285*T2^3 - 1384*T1*T2^3 + 1484*T1^2*T2^3 + 3579*T1^3*T2^3 - 
      12932*T1^4*T2^3 + 12261*T1^5*T2^3 - 1876*T1^6*T2^3 - 7401*T1^7*T2^3 + 
      5433*T1^8*T2^3 - 1288*T1^9*T2^3 - 240*T1^10*T2^3 + 114*T1^11*T2^3 - 
      355*T2^4 + 1016*T1*T2^4 + 2301*T1^2*T2^4 - 12932*T1^3*T2^4 + 
      20141*T1^4*T2^4 - 208*T1^5*T2^4 - 22943*T1^6*T2^4 + 25092*T1^7*T2^4 - 
      4667*T1^8*T2^4 - 4496*T1^9*T2^4 + 2957*T1^10*T2^4 - 344*T1^11*T2^4 - 
      71*T1^12*T2^4 + 285*T2^5 - 8*T1*T2^5 - 5410*T1^2*T2^5 + 
      12261*T1^3*T2^5 - 208*T1^4*T2^5 - 42915*T1^5*T2^5 + 52374*T1^6*T2^5 - 
      17334*T1^7*T2^5 - 25341*T1^8*T2^5 + 20933*T1^9*T2^5 - 4842*T1^10*T2^5 - 
      1354*T1^11*T2^5 + 568*T1^12*T2^5 - 140*T2^6 - 704*T1*T2^6 + 
      4709*T1^2*T2^6 - 1876*T1^3*T2^6 - 22943*T1^4*T2^6 + 52374*T1^5*T2^6 - 
      8978*T1^6*T2^6 - 57968*T1^7*T2^6 + 77150*T1^8*T2^6 - 24346*T1^9*T2^6 - 
      7631*T1^10*T2^6 + 7812*T1^11*T2^6 - 1203*T1^12*T2^6 - 224*T1^13*T2^6 + 
      28*T1^14*T2^6 + 40*T2^7 + 576*T1*T2^7 - 1260*T1^2*T2^7 - 
      7401*T1^3*T2^7 + 25092*T1^4*T2^7 - 17334*T1^5*T2^7 - 57968*T1^6*T2^7 + 
      97663*T1^7*T2^7 - 53189*T1^8*T2^7 - 28833*T1^9*T2^7 + 
      38350*T1^10*T2^7 - 12685*T1^11*T2^7 - 1312*T1^12*T2^7 + 
      1344*T1^13*T2^7 - 96*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 444*T1^2*T2^8 + 5433*T1^3*T2^8 - 4667*T1^4*T2^8 - 
      25341*T1^5*T2^8 + 77150*T1^6*T2^8 - 53189*T1^7*T2^8 - 30768*T1^8*T2^8 + 
      82865*T1^9*T2^8 - 43396*T1^10*T2^8 - 1839*T1^11*T2^8 + 
      9837*T1^12*T2^8 - 2861*T1^13*T2^8 - 156*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 416*T1^2*T2^9 - 1288*T1^3*T2^9 - 
      4496*T1^4*T2^9 + 20933*T1^5*T2^9 - 24346*T1^6*T2^9 - 28833*T1^7*T2^9 + 
      82865*T1^8*T2^9 - 67987*T1^9*T2^9 + 302*T1^10*T2^9 + 31338*T1^11*T2^9 - 
      16844*T1^12*T2^9 + 1593*T1^13*T2^9 + 1316*T1^14*T2^9 - 256*T1^15*T2^9 - 
      24*T1^16*T2^9 - 84*T1^2*T2^10 - 240*T1^3*T2^10 + 2957*T1^4*T2^10 - 
      4842*T1^5*T2^10 - 7631*T1^6*T2^10 + 38350*T1^7*T2^10 - 
      43396*T1^8*T2^10 + 302*T1^9*T2^10 + 42732*T1^10*T2^10 - 
      38370*T1^11*T2^10 + 7681*T1^12*T2^10 + 4846*T1^13*T2^10 - 
      2955*T1^14*T2^10 + 240*T1^15*T2^10 + 84*T1^16*T2^10 + 114*T1^3*T2^11 - 
      344*T1^4*T2^11 - 1354*T1^5*T2^11 + 7812*T1^6*T2^11 - 12685*T1^7*T2^11 - 
      1839*T1^8*T2^11 + 31338*T1^9*T2^11 - 38370*T1^10*T2^11 + 
      15735*T1^11*T2^11 + 8456*T1^12*T2^11 - 9291*T1^13*T2^11 + 
      2702*T1^14*T2^11 + 232*T1^15*T2^11 - 171*T1^16*T2^11 - 71*T1^4*T2^12 + 
      568*T1^5*T2^12 - 1203*T1^6*T2^12 - 1312*T1^7*T2^12 + 9837*T1^8*T2^12 - 
      16844*T1^9*T2^12 + 7681*T1^10*T2^12 + 8456*T1^11*T2^12 - 
      14971*T1^12*T2^12 + 7124*T1^13*T2^12 - 547*T1^14*T2^12 - 
      792*T1^15*T2^12 + 213*T1^16*T2^12 - 224*T1^6*T2^13 + 1344*T1^7*T2^13 - 
      2861*T1^8*T2^13 + 1593*T1^9*T2^13 + 4846*T1^10*T2^13 - 
      9291*T1^11*T2^13 + 7124*T1^12*T2^13 - 1007*T1^13*T2^13 - 
      1428*T1^14*T2^13 + 920*T1^15*T2^13 - 171*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 156*T1^8*T2^14 + 1316*T1^9*T2^14 - 2955*T1^10*T2^14 + 
      2702*T1^11*T2^14 - 547*T1^12*T2^14 - 1428*T1^13*T2^14 + 
      1356*T1^14*T2^14 - 544*T1^15*T2^14 + 84*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 256*T1^9*T2^15 + 240*T1^10*T2^15 + 232*T1^11*T2^15 - 
      792*T1^12*T2^15 + 920*T1^13*T2^15 - 544*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 84*T1^10*T2^16 - 
      171*T1^11*T2^16 + 213*T1^12*T2^16 - 171*T1^13*T2^16 + 84*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 60] -> 
  {(1 - 8*T + 28*T^2 - 57*T^3 + 73*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 228*T1^3 - 292*T1^4 + 228*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1152*T1^3*T2 + 
     968*T1^4*T2 - 72*T1^5*T2 - 472*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1456*T1^3*T2^2 + 
     1197*T1^4*T2^2 - 4434*T1^5*T2^2 + 3717*T1^6*T2^2 - 1288*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 228*T2^3 - 
     1152*T1*T2^3 + 1456*T1^2*T2^3 + 2295*T1^3*T2^3 - 9562*T1^4*T2^3 + 
     12109*T1^5*T2^3 - 2476*T1^6*T2^3 - 4373*T1^7*T2^3 + 4149*T1^8*T2^3 - 
     1316*T1^9*T2^3 - 8*T1^10*T2^3 + 57*T1^11*T2^3 - 292*T2^4 + 968*T1*T2^4 + 
     1197*T1^2*T2^4 - 9562*T1^3*T2^4 + 16339*T1^4*T2^4 - 6546*T1^5*T2^4 - 
     18705*T1^6*T2^4 + 20186*T1^7*T2^4 - 7325*T1^8*T2^4 - 1582*T1^9*T2^4 + 
     2077*T1^10*T2^4 - 456*T1^11*T2^4 + 228*T2^5 - 72*T1*T2^5 - 
     4434*T1^2*T2^5 + 12109*T1^3*T2^5 - 6546*T1^4*T2^5 - 22387*T1^5*T2^5 + 
     48967*T1^6*T2^5 - 19853*T1^7*T2^5 - 12109*T1^8*T2^5 + 16809*T1^9*T2^5 - 
     6338*T1^10*T2^5 + 6*T1^11*T2^5 + 456*T1^12*T2^5 - 57*T1^13*T2^5 - 
     112*T2^6 - 472*T1*T2^6 + 3717*T1^2*T2^6 - 2476*T1^3*T2^6 - 
     18705*T1^4*T2^6 + 48967*T1^5*T2^6 - 42131*T1^6*T2^6 - 28921*T1^7*T2^6 + 
     56989*T1^8*T2^6 - 29593*T1^9*T2^6 - 33*T1^10*T2^6 + 6316*T1^11*T2^6 - 
     2083*T1^12*T2^6 + 8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1288*T1^2*T2^7 - 4373*T1^3*T2^7 + 20186*T1^4*T2^7 - 19853*T1^5*T2^7 - 
     28921*T1^6*T2^7 + 99029*T1^7*T2^7 - 74737*T1^8*T2^7 + 328*T1^9*T2^7 + 
     29487*T1^10*T2^7 - 16677*T1^11*T2^7 + 1602*T1^12*T2^7 + 
     1316*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 144*T1^2*T2^8 + 4149*T1^3*T2^8 - 7325*T1^4*T2^8 - 
     12109*T1^5*T2^8 + 56989*T1^6*T2^8 - 74737*T1^7*T2^8 + 468*T1^8*T2^8 + 
     74313*T1^9*T2^8 - 57285*T1^10*T2^8 + 12161*T1^11*T2^8 + 
     7195*T1^12*T2^8 - 4145*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1316*T1^3*T2^9 - 
     1582*T1^4*T2^9 + 16809*T1^5*T2^9 - 29593*T1^6*T2^9 + 328*T1^7*T2^9 + 
     74313*T1^8*T2^9 - 99453*T1^9*T2^9 + 29577*T1^10*T2^9 + 
     19747*T1^11*T2^9 - 20054*T1^12*T2^9 + 4393*T1^13*T2^9 + 
     1288*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 - 
     8*T1^3*T2^10 + 2077*T1^4*T2^10 - 6338*T1^5*T2^10 - 33*T1^6*T2^10 + 
     29487*T1^7*T2^10 - 57285*T1^8*T2^10 + 29577*T1^9*T2^10 + 
     41835*T1^10*T2^10 - 49073*T1^11*T2^10 + 18639*T1^12*T2^10 + 
     2454*T1^13*T2^10 - 3723*T1^14*T2^10 + 472*T1^15*T2^10 + 
     112*T1^16*T2^10 + 57*T1^3*T2^11 - 456*T1^4*T2^11 + 6*T1^5*T2^11 + 
     6316*T1^6*T2^11 - 16677*T1^7*T2^11 + 12161*T1^8*T2^11 + 
     19747*T1^9*T2^11 - 49073*T1^10*T2^11 + 22439*T1^11*T2^11 + 
     6678*T1^12*T2^11 - 12131*T1^13*T2^11 + 4446*T1^14*T2^11 + 
     72*T1^15*T2^11 - 228*T1^16*T2^11 + 456*T1^5*T2^12 - 2083*T1^6*T2^12 + 
     1602*T1^7*T2^12 + 7195*T1^8*T2^12 - 20054*T1^9*T2^12 + 
     18639*T1^10*T2^12 + 6678*T1^11*T2^12 - 16469*T1^12*T2^12 + 
     9582*T1^13*T2^12 - 1203*T1^14*T2^12 - 968*T1^15*T2^12 + 
     292*T1^16*T2^12 - 57*T1^5*T2^13 + 8*T1^6*T2^13 + 1316*T1^7*T2^13 - 
     4145*T1^8*T2^13 + 4393*T1^9*T2^13 + 2454*T1^10*T2^13 - 
     12131*T1^11*T2^13 + 9582*T1^12*T2^13 - 2291*T1^13*T2^13 - 
     1456*T1^14*T2^13 + 1152*T1^15*T2^13 - 228*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 144*T1^8*T2^14 + 1288*T1^9*T2^14 - 3723*T1^10*T2^14 + 
     4446*T1^11*T2^14 - 1203*T1^12*T2^14 - 1456*T1^13*T2^14 + 
     1656*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 472*T1^10*T2^15 + 72*T1^11*T2^15 - 
     968*T1^12*T2^15 + 1152*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     228*T1^11*T2^16 + 292*T1^12*T2^16 - 228*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 61] -> 
  {-((1 - 7*T + 21*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 105*T1^2 + 190*T1^3 - 225*T1^4 + 190*T1^5 - 
      105*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 
      742*T1^3*T2 + 511*T1^4*T2 - 70*T1^5*T2 - 329*T1^6*T2 + 343*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 896*T1^2*T2^2 + 
      313*T1^3*T2^2 + 1406*T1^4*T2^2 - 2446*T1^5*T2^2 + 2414*T1^6*T2^2 - 
      989*T1^7*T2^2 - 56*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 
      190*T2^3 - 742*T1*T2^3 + 313*T1^2*T2^3 + 2141*T1^3*T2^3 - 
      5111*T1^4*T2^3 + 4115*T1^5*T2^3 - 1360*T1^6*T2^3 - 2366*T1^7*T2^3 + 
      2471*T1^8*T2^3 - 905*T1^9*T2^3 - 91*T1^10*T2^3 + 76*T1^11*T2^3 - 
      225*T2^4 + 511*T1*T2^4 + 1406*T1^2*T2^4 - 5111*T1^3*T2^4 + 
      6170*T1^4*T2^4 + 349*T1^5*T2^4 - 5082*T1^6*T2^4 + 7537*T1^7*T2^4 - 
      2402*T1^8*T2^4 - 1311*T1^9*T2^4 + 1462*T1^10*T2^4 - 217*T1^11*T2^4 - 
      45*T1^12*T2^4 + 190*T2^5 - 70*T1*T2^5 - 2446*T1^2*T2^5 + 
      4115*T1^3*T2^5 + 349*T1^4*T2^5 - 10791*T1^5*T2^5 + 10374*T1^6*T2^5 - 
      5425*T1^7*T2^5 - 5439*T1^8*T2^5 + 6310*T1^9*T2^5 - 2126*T1^10*T2^5 - 
      619*T1^11*T2^5 + 315*T1^12*T2^5 - 105*T2^6 - 329*T1*T2^6 + 
      2414*T1^2*T2^6 - 1360*T1^3*T2^6 - 5082*T1^4*T2^6 + 10374*T1^5*T2^6 + 
      767*T1^6*T2^6 - 9741*T1^7*T2^6 + 15663*T1^8*T2^6 - 6188*T1^9*T2^6 - 
      2044*T1^10*T2^6 + 2966*T1^11*T2^6 - 498*T1^12*T2^6 - 147*T1^13*T2^6 + 
      21*T1^14*T2^6 + 35*T2^7 + 343*T1*T2^7 - 989*T1^2*T2^7 - 
      2366*T1^3*T2^7 + 7537*T1^4*T2^7 - 5425*T1^5*T2^7 - 9741*T1^6*T2^7 + 
      12832*T1^7*T2^7 - 8040*T1^8*T2^7 - 5703*T1^9*T2^7 + 8848*T1^10*T2^7 - 
      3332*T1^11*T2^7 - 891*T1^12*T2^7 + 733*T1^13*T2^7 - 49*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 56*T1^2*T2^8 + 2471*T1^3*T2^8 - 
      2402*T1^4*T2^8 - 5439*T1^5*T2^8 + 15663*T1^6*T2^8 - 8040*T1^7*T2^8 - 
      3960*T1^8*T2^8 + 12412*T1^9*T2^8 - 7253*T1^10*T2^8 - 1785*T1^11*T2^8 + 
      3614*T1^12*T2^8 - 1119*T1^13*T2^8 - 182*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 245*T1^2*T2^9 - 905*T1^3*T2^9 - 
      1311*T1^4*T2^9 + 6310*T1^5*T2^9 - 6188*T1^6*T2^9 - 5703*T1^7*T2^9 + 
      12412*T1^8*T2^9 - 8460*T1^9*T2^9 - 1665*T1^10*T2^9 + 8085*T1^11*T2^9 - 
      4559*T1^12*T2^9 + 164*T1^13*T2^9 + 817*T1^14*T2^9 - 147*T1^15*T2^9 - 
      21*T1^16*T2^9 - 63*T1^2*T2^10 - 91*T1^3*T2^10 + 1462*T1^4*T2^10 - 
      2126*T1^5*T2^10 - 2044*T1^6*T2^10 + 8848*T1^7*T2^10 - 7253*T1^8*T2^10 - 
      1665*T1^9*T2^10 + 7643*T1^10*T2^10 - 7714*T1^11*T2^10 + 
      994*T1^12*T2^10 + 2200*T1^13*T2^10 - 1450*T1^14*T2^10 + 
      91*T1^15*T2^10 + 63*T1^16*T2^10 + 76*T1^3*T2^11 - 217*T1^4*T2^11 - 
      619*T1^5*T2^11 + 2966*T1^6*T2^11 - 3332*T1^7*T2^11 - 1785*T1^8*T2^11 + 
      8085*T1^9*T2^11 - 7714*T1^10*T2^11 + 3567*T1^11*T2^11 + 
      2629*T1^12*T2^11 - 3275*T1^13*T2^11 + 1208*T1^14*T2^11 + 
      168*T1^15*T2^11 - 114*T1^16*T2^11 - 45*T1^4*T2^12 + 315*T1^5*T2^12 - 
      498*T1^6*T2^12 - 891*T1^7*T2^12 + 3614*T1^8*T2^12 - 4559*T1^9*T2^12 + 
      994*T1^10*T2^12 + 2629*T1^11*T2^12 - 4958*T1^12*T2^12 + 
      2909*T1^13*T2^12 - 442*T1^14*T2^12 - 413*T1^15*T2^12 + 
      135*T1^16*T2^12 - 147*T1^6*T2^13 + 733*T1^7*T2^13 - 1119*T1^8*T2^13 + 
      164*T1^9*T2^13 + 2200*T1^10*T2^13 - 3275*T1^11*T2^13 + 
      2909*T1^12*T2^13 - 789*T1^13*T2^13 - 485*T1^14*T2^13 + 
      504*T1^15*T2^13 - 114*T1^16*T2^13 + 21*T1^6*T2^14 - 49*T1^7*T2^14 - 
      182*T1^8*T2^14 + 817*T1^9*T2^14 - 1450*T1^10*T2^14 + 1208*T1^11*T2^14 - 
      442*T1^12*T2^14 - 485*T1^13*T2^14 + 658*T1^14*T2^14 - 343*T1^15*T2^14 + 
      63*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 147*T1^9*T2^15 + 
      91*T1^10*T2^15 + 168*T1^11*T2^15 - 413*T1^12*T2^15 + 504*T1^13*T2^15 - 
      343*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 63*T1^10*T2^16 - 114*T1^11*T2^16 + 135*T1^12*T2^16 - 
      114*T1^13*T2^16 + 63*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 62] -> 
  {-((2 - 12*T + 30*T^2 - 41*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-25 + 151*T1 - 378*T1^2 + 517*T1^3 - 378*T1^4 + 151*T1^5 - 25*T1^6 + 
      151*T2 - 810*T1*T2 + 1661*T1^2*T2 - 1561*T1^3*T2 + 143*T1^4*T2 + 
      653*T1^5*T2 - 474*T1^6*T2 + 103*T1^7*T2 - 378*T2^2 + 1661*T1*T2^2 - 
      2060*T1^2*T2^2 - 856*T1^3*T2^2 + 5198*T1^4*T2^2 - 4336*T1^5*T2^2 + 
      1300*T1^6*T2^2 + 221*T1^7*T2^2 - 138*T1^8*T2^2 + 517*T2^3 - 
      1561*T1*T2^3 - 856*T1^2*T2^3 + 8006*T1^3*T2^3 - 11958*T1^4*T2^3 + 
      3270*T1^5*T2^3 + 3464*T1^6*T2^3 - 3196*T1^7*T2^3 + 671*T1^8*T2^3 + 
      25*T1^9*T2^3 - 378*T2^4 + 143*T1*T2^4 + 5198*T1^2*T2^4 - 
      11958*T1^3*T2^4 + 7435*T1^4*T2^4 + 10935*T1^5*T2^4 - 14381*T1^6*T2^4 + 
      5754*T1^7*T2^4 + 590*T1^8*T2^4 - 769*T1^9*T2^4 + 102*T1^10*T2^4 + 
      151*T2^5 + 653*T1*T2^5 - 4336*T1^2*T2^5 + 3270*T1^3*T2^5 + 
      10935*T1^4*T2^5 - 27270*T1^5*T2^5 + 16380*T1^6*T2^5 + 2115*T1^7*T2^5 - 
      6990*T1^8*T2^5 + 2564*T1^9*T2^5 - 67*T1^10*T2^5 - 89*T1^11*T2^5 - 
      25*T2^6 - 474*T1*T2^6 + 1300*T1^2*T2^6 + 3464*T1^3*T2^6 - 
      14381*T1^4*T2^6 + 16380*T1^5*T2^6 + 4560*T1^6*T2^6 - 19980*T1^7*T2^6 + 
      13123*T1^8*T2^6 - 1840*T1^9*T2^6 - 1292*T1^10*T2^6 + 390*T1^11*T2^6 + 
      23*T1^12*T2^6 + 103*T1*T2^7 + 221*T1^2*T2^7 - 3196*T1^3*T2^7 + 
      5754*T1^4*T2^7 + 2115*T1^5*T2^7 - 19980*T1^6*T2^7 + 23670*T1^7*T2^7 - 
      6705*T1^8*T2^7 - 4506*T1^9*T2^7 + 3704*T1^10*T2^7 - 499*T1^11*T2^7 - 
      137*T1^12*T2^7 - 138*T1^2*T2^8 + 671*T1^3*T2^8 + 590*T1^4*T2^8 - 
      6990*T1^5*T2^8 + 13123*T1^6*T2^8 - 6705*T1^7*T2^8 - 8693*T1^8*T2^8 + 
      10722*T1^9*T2^8 - 4018*T1^10*T2^8 - 241*T1^11*T2^8 + 342*T1^12*T2^8 + 
      25*T1^3*T2^9 - 769*T1^4*T2^9 + 2564*T1^5*T2^9 - 1840*T1^6*T2^9 - 
      4506*T1^7*T2^9 + 10722*T1^8*T2^9 - 6382*T1^9*T2^9 + 224*T1^10*T2^9 + 
      1463*T1^11*T2^9 - 467*T1^12*T2^9 + 102*T1^4*T2^10 - 67*T1^5*T2^10 - 
      1292*T1^6*T2^10 + 3704*T1^7*T2^10 - 4018*T1^8*T2^10 + 224*T1^9*T2^10 + 
      2068*T1^10*T2^10 - 1507*T1^11*T2^10 + 342*T1^12*T2^10 - 89*T1^5*T2^11 + 
      390*T1^6*T2^11 - 499*T1^7*T2^11 - 241*T1^8*T2^11 + 1463*T1^9*T2^11 - 
      1507*T1^10*T2^11 + 726*T1^11*T2^11 - 137*T1^12*T2^11 + 23*T1^6*T2^12 - 
      137*T1^7*T2^12 + 342*T1^8*T2^12 - 467*T1^9*T2^12 + 342*T1^10*T2^12 - 
      137*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 63] -> 
  {-((1 - 8*T + 28*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 140*T1^2 + 285*T1^3 - 355*T1^4 + 285*T1^5 - 
      140*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 864*T1^2*T2 - 
      1384*T1^3*T2 + 1016*T1^4*T2 - 8*T1^5*T2 - 704*T1^6*T2 + 576*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 140*T2^2 + 864*T1*T2^2 - 1956*T1^2*T2^2 + 
      1484*T1^3*T2^2 + 2300*T1^4*T2^2 - 5408*T1^5*T2^2 + 4708*T1^6*T2^2 - 
      1260*T1^7*T2^2 - 444*T1^8*T2^2 + 416*T1^9*T2^2 - 84*T1^10*T2^2 + 
      285*T2^3 - 1384*T1*T2^3 + 1484*T1^2*T2^3 + 3581*T1^3*T2^3 - 
      12934*T1^4*T2^3 + 12261*T1^5*T2^3 - 1876*T1^6*T2^3 - 7403*T1^7*T2^3 + 
      5435*T1^8*T2^3 - 1288*T1^9*T2^3 - 240*T1^10*T2^3 + 114*T1^11*T2^3 - 
      355*T2^4 + 1016*T1*T2^4 + 2300*T1^2*T2^4 - 12934*T1^3*T2^4 + 
      20143*T1^4*T2^4 - 208*T1^5*T2^4 - 22941*T1^6*T2^4 + 25092*T1^7*T2^4 - 
      4665*T1^8*T2^4 - 4498*T1^9*T2^4 + 2956*T1^10*T2^4 - 344*T1^11*T2^4 - 
      71*T1^12*T2^4 + 285*T2^5 - 8*T1*T2^5 - 5408*T1^2*T2^5 + 
      12261*T1^3*T2^5 - 208*T1^4*T2^5 - 42915*T1^5*T2^5 + 52372*T1^6*T2^5 - 
      17336*T1^7*T2^5 - 25341*T1^8*T2^5 + 20933*T1^9*T2^5 - 4842*T1^10*T2^5 - 
      1352*T1^11*T2^5 + 568*T1^12*T2^5 - 140*T2^6 - 704*T1*T2^6 + 
      4708*T1^2*T2^6 - 1876*T1^3*T2^6 - 22941*T1^4*T2^6 + 52372*T1^5*T2^6 - 
      8978*T1^6*T2^6 - 57966*T1^7*T2^6 + 77150*T1^8*T2^6 - 24348*T1^9*T2^6 - 
      7629*T1^10*T2^6 + 7812*T1^11*T2^6 - 1204*T1^12*T2^6 - 224*T1^13*T2^6 + 
      28*T1^14*T2^6 + 40*T2^7 + 576*T1*T2^7 - 1260*T1^2*T2^7 - 
      7403*T1^3*T2^7 + 25092*T1^4*T2^7 - 17336*T1^5*T2^7 - 57966*T1^6*T2^7 + 
      97665*T1^7*T2^7 - 53187*T1^8*T2^7 - 28831*T1^9*T2^7 + 
      38348*T1^10*T2^7 - 12685*T1^11*T2^7 - 1314*T1^12*T2^7 + 
      1344*T1^13*T2^7 - 96*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 444*T1^2*T2^8 + 5435*T1^3*T2^8 - 4665*T1^4*T2^8 - 
      25341*T1^5*T2^8 + 77150*T1^6*T2^8 - 53187*T1^7*T2^8 - 30780*T1^8*T2^8 + 
      82867*T1^9*T2^8 - 43396*T1^10*T2^8 - 1839*T1^11*T2^8 + 
      9839*T1^12*T2^8 - 2859*T1^13*T2^8 - 156*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 416*T1^2*T2^9 - 1288*T1^3*T2^9 - 
      4498*T1^4*T2^9 + 20933*T1^5*T2^9 - 24348*T1^6*T2^9 - 28831*T1^7*T2^9 + 
      82867*T1^8*T2^9 - 67985*T1^9*T2^9 + 304*T1^10*T2^9 + 31336*T1^11*T2^9 - 
      16844*T1^12*T2^9 + 1591*T1^13*T2^9 + 1316*T1^14*T2^9 - 256*T1^15*T2^9 - 
      24*T1^16*T2^9 - 84*T1^2*T2^10 - 240*T1^3*T2^10 + 2956*T1^4*T2^10 - 
      4842*T1^5*T2^10 - 7629*T1^6*T2^10 + 38348*T1^7*T2^10 - 
      43396*T1^8*T2^10 + 304*T1^9*T2^10 + 42732*T1^10*T2^10 - 
      38372*T1^11*T2^10 + 7683*T1^12*T2^10 + 4846*T1^13*T2^10 - 
      2956*T1^14*T2^10 + 240*T1^15*T2^10 + 84*T1^16*T2^10 + 114*T1^3*T2^11 - 
      344*T1^4*T2^11 - 1352*T1^5*T2^11 + 7812*T1^6*T2^11 - 12685*T1^7*T2^11 - 
      1839*T1^8*T2^11 + 31336*T1^9*T2^11 - 38372*T1^10*T2^11 + 
      15735*T1^11*T2^11 + 8456*T1^12*T2^11 - 9291*T1^13*T2^11 + 
      2704*T1^14*T2^11 + 232*T1^15*T2^11 - 171*T1^16*T2^11 - 71*T1^4*T2^12 + 
      568*T1^5*T2^12 - 1204*T1^6*T2^12 - 1314*T1^7*T2^12 + 9839*T1^8*T2^12 - 
      16844*T1^9*T2^12 + 7683*T1^10*T2^12 + 8456*T1^11*T2^12 - 
      14969*T1^12*T2^12 + 7122*T1^13*T2^12 - 548*T1^14*T2^12 - 
      792*T1^15*T2^12 + 213*T1^16*T2^12 - 224*T1^6*T2^13 + 1344*T1^7*T2^13 - 
      2859*T1^8*T2^13 + 1591*T1^9*T2^13 + 4846*T1^10*T2^13 - 
      9291*T1^11*T2^13 + 7122*T1^12*T2^13 - 1005*T1^13*T2^13 - 
      1428*T1^14*T2^13 + 920*T1^15*T2^13 - 171*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 156*T1^8*T2^14 + 1316*T1^9*T2^14 - 2956*T1^10*T2^14 + 
      2704*T1^11*T2^14 - 548*T1^12*T2^14 - 1428*T1^13*T2^14 + 
      1356*T1^14*T2^14 - 544*T1^15*T2^14 + 84*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 256*T1^9*T2^15 + 240*T1^10*T2^15 + 232*T1^11*T2^15 - 
      792*T1^12*T2^15 + 920*T1^13*T2^15 - 544*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 84*T1^10*T2^16 - 
      171*T1^11*T2^16 + 213*T1^12*T2^16 - 171*T1^13*T2^16 + 84*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 64] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-324 + 1780*T1 - 4034*T1^2 + 5242*T1^3 - 4034*T1^4 + 1780*T1^5 - 
      324*T1^6 + 1780*T2 - 8360*T1*T2 + 14350*T1^2*T2 - 11054*T1^3*T2 - 
      934*T1^4*T2 + 8014*T1^5*T2 - 6072*T1^6*T2 + 1428*T1^7*T2 - 4034*T2^2 + 
      14350*T1*T2^2 - 9681*T1^2*T2^2 - 18999*T1^3*T2^2 + 46463*T1^4*T2^2 - 
      36199*T1^5*T2^2 + 8719*T1^6*T2^2 + 5550*T1^7*T2^2 - 2434*T1^8*T2^2 + 
      5242*T2^3 - 11054*T1*T2^3 - 18999*T1^2*T2^3 + 65684*T1^3*T2^3 - 
      67906*T1^4*T2^3 + 2434*T1^5*T2^3 + 40304*T1^6*T2^3 - 29399*T1^7*T2^3 + 
      1706*T1^8*T2^3 + 2122*T1^9*T2^3 - 4034*T2^4 - 934*T1*T2^4 + 
      46463*T1^2*T2^4 - 67906*T1^3*T2^4 + 7877*T1^4*T2^4 + 87107*T1^5*T2^4 - 
      78303*T1^6*T2^4 + 11654*T1^7*T2^4 + 23543*T1^8*T2^4 - 7094*T1^9*T2^4 - 
      834*T1^10*T2^4 + 1780*T2^5 + 8014*T1*T2^5 - 36199*T1^2*T2^5 + 
      2434*T1^3*T2^5 + 87107*T1^4*T2^5 - 124048*T1^5*T2^5 + 23542*T1^6*T2^5 + 
      58807*T1^7*T2^5 - 49466*T1^8*T2^5 + 1401*T1^9*T2^5 + 4494*T1^10*T2^5 + 
      20*T1^11*T2^5 - 324*T2^6 - 6072*T1*T2^6 + 8719*T1^2*T2^6 + 
      40304*T1^3*T2^6 - 78303*T1^4*T2^6 + 23542*T1^5*T2^6 + 94752*T1^6*T2^6 - 
      104514*T1^7*T2^6 + 30657*T1^8*T2^6 + 20864*T1^9*T2^6 - 
      9073*T1^10*T2^6 - 440*T1^11*T2^6 + 60*T1^12*T2^6 + 1428*T1*T2^7 + 
      5550*T1^2*T2^7 - 29399*T1^3*T2^7 + 11654*T1^4*T2^7 + 58807*T1^5*T2^7 - 
      104514*T1^6*T2^7 + 43076*T1^7*T2^7 + 30507*T1^8*T2^7 - 
      40246*T1^9*T2^7 + 8201*T1^10*T2^7 + 2030*T1^11*T2^7 - 332*T1^12*T2^7 - 
      2434*T1^2*T2^8 + 1706*T1^3*T2^8 + 23543*T1^4*T2^8 - 49466*T1^5*T2^8 + 
      30657*T1^6*T2^8 + 30507*T1^7*T2^8 - 55523*T1^8*T2^8 + 30094*T1^9*T2^8 + 
      623*T1^10*T2^8 - 4454*T1^11*T2^8 + 766*T1^12*T2^8 + 2122*T1^3*T2^9 - 
      7094*T1^4*T2^9 + 1401*T1^5*T2^9 + 20864*T1^6*T2^9 - 40246*T1^7*T2^9 + 
      30094*T1^8*T2^9 - 4516*T1^9*T2^9 - 8999*T1^10*T2^9 + 5666*T1^11*T2^9 - 
      998*T1^12*T2^9 - 834*T1^4*T2^10 + 4494*T1^5*T2^10 - 9073*T1^6*T2^10 + 
      8201*T1^7*T2^10 + 623*T1^8*T2^10 - 8999*T1^9*T2^10 + 9327*T1^10*T2^10 - 
      4306*T1^11*T2^10 + 766*T1^12*T2^10 + 20*T1^5*T2^11 - 440*T1^6*T2^11 + 
      2030*T1^7*T2^11 - 4454*T1^8*T2^11 + 5666*T1^9*T2^11 - 
      4306*T1^10*T2^11 + 1848*T1^11*T2^11 - 332*T1^12*T2^11 + 60*T1^6*T2^12 - 
      332*T1^7*T2^12 + 766*T1^8*T2^12 - 998*T1^9*T2^12 + 766*T1^10*T2^12 - 
      332*T1^11*T2^12 + 60*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 65] -> 
  {-((1 - 8*T + 22*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 22*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 66*T1^2 + 111*T1^3 - 129*T1^4 + 111*T1^5 - 
      66*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 400*T1^2*T2 - 
      536*T1^3*T2 + 440*T1^4*T2 - 200*T1^5*T2 - 64*T1^6*T2 + 160*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 66*T2^2 + 400*T1*T2^2 - 448*T1^2*T2^2 - 
      207*T1^3*T2^2 + 1437*T1^4*T2^2 - 2278*T1^5*T2^2 + 2361*T1^6*T2^2 - 
      1483*T1^7*T2^2 + 476*T1^8*T2^2 + 48*T1^9*T2^2 - 22*T1^10*T2^2 + 
      111*T2^3 - 536*T1*T2^3 - 207*T1^2*T2^3 + 2229*T1^3*T2^3 - 
      4369*T1^4*T2^3 + 4502*T1^5*T2^3 - 3029*T1^6*T2^3 + 354*T1^7*T2^3 + 
      1167*T1^8*T2^3 - 1065*T1^9*T2^3 + 176*T1^10*T2^3 - 129*T2^4 + 
      440*T1*T2^4 + 1437*T1^2*T2^4 - 4369*T1^3*T2^4 + 5934*T1^4*T2^4 - 
      3715*T1^5*T2^4 + 128*T1^6*T2^4 + 3729*T1^7*T2^4 - 4010*T1^8*T2^4 + 
      1699*T1^9*T2^4 + 485*T1^10*T2^4 - 344*T1^11*T2^4 + 43*T1^12*T2^4 + 
      111*T2^5 - 200*T1*T2^5 - 2278*T1^2*T2^5 + 4502*T1^3*T2^5 - 
      3715*T1^4*T2^5 - 795*T1^5*T2^5 + 4200*T1^6*T2^5 - 5582*T1^7*T2^5 + 
      1629*T1^8*T2^5 + 3126*T1^9*T2^5 - 4031*T1^10*T2^5 + 1094*T1^11*T2^5 + 
      248*T1^12*T2^5 - 74*T1^13*T2^5 - 66*T2^6 - 64*T1*T2^6 + 
      2361*T1^2*T2^6 - 3029*T1^3*T2^6 + 128*T1^4*T2^6 + 4200*T1^5*T2^6 - 
      4754*T1^6*T2^6 + 2378*T1^7*T2^6 + 3414*T1^8*T2^6 - 5824*T1^9*T2^6 + 
      1728*T1^10*T2^6 + 2999*T1^11*T2^6 - 2315*T1^12*T2^6 + 64*T1^13*T2^6 + 
      66*T1^14*T2^6 + 24*T2^7 + 160*T1*T2^7 - 1483*T1^2*T2^7 + 
      354*T1^3*T2^7 + 3729*T1^4*T2^7 - 5582*T1^5*T2^7 + 2378*T1^6*T2^7 + 
      2685*T1^7*T2^7 - 6413*T1^8*T2^7 + 3913*T1^9*T2^7 + 3716*T1^10*T2^7 - 
      5524*T1^11*T2^7 + 1011*T1^12*T2^7 + 1883*T1^13*T2^7 - 272*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 476*T1^2*T2^8 + 1167*T1^3*T2^8 - 
      4010*T1^4*T2^8 + 1629*T1^5*T2^8 + 3414*T1^6*T2^8 - 6413*T1^7*T2^8 + 
      3468*T1^8*T2^8 + 2941*T1^9*T2^8 - 8708*T1^10*T2^8 + 3711*T1^11*T2^8 + 
      2814*T1^12*T2^8 - 3431*T1^13*T2^8 - 484*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 48*T1^2*T2^9 - 1065*T1^3*T2^9 + 
      1699*T1^4*T2^9 + 3126*T1^5*T2^9 - 5824*T1^6*T2^9 + 3913*T1^7*T2^9 + 
      2941*T1^8*T2^9 - 6157*T1^9*T2^9 + 5448*T1^10*T2^9 + 3474*T1^11*T2^9 - 
      6127*T1^12*T2^9 + 2356*T1^13*T2^9 + 2301*T1^14*T2^9 - 384*T1^15*T2^9 - 
      40*T1^16*T2^9 - 22*T1^2*T2^10 + 176*T1^3*T2^10 + 485*T1^4*T2^10 - 
      4031*T1^5*T2^10 + 1728*T1^6*T2^10 + 3716*T1^7*T2^10 - 8708*T1^8*T2^10 + 
      5448*T1^9*T2^10 - 540*T1^10*T2^10 - 6308*T1^11*T2^10 + 
      3328*T1^12*T2^10 + 1997*T1^13*T2^10 - 4191*T1^14*T2^10 + 
      304*T1^15*T2^10 + 110*T1^16*T2^10 - 344*T1^4*T2^11 + 1094*T1^5*T2^11 + 
      2999*T1^6*T2^11 - 5524*T1^7*T2^11 + 3711*T1^8*T2^11 + 3474*T1^9*T2^11 - 
      6308*T1^10*T2^11 + 6135*T1^11*T2^11 + 1317*T1^12*T2^11 - 
      5534*T1^13*T2^11 + 4466*T1^14*T2^11 + 104*T1^15*T2^11 - 
      185*T1^16*T2^11 + 43*T1^4*T2^12 + 248*T1^5*T2^12 - 2315*T1^6*T2^12 + 
      1011*T1^7*T2^12 + 2814*T1^8*T2^12 - 6127*T1^9*T2^12 + 
      3328*T1^10*T2^12 + 1317*T1^11*T2^12 - 7130*T1^12*T2^12 + 
      7079*T1^13*T2^12 - 3267*T1^14*T2^12 - 536*T1^15*T2^12 + 
      215*T1^16*T2^12 - 74*T1^5*T2^13 + 64*T1^6*T2^13 + 1883*T1^7*T2^13 - 
      3431*T1^8*T2^13 + 2356*T1^9*T2^13 + 1997*T1^10*T2^13 - 
      5534*T1^11*T2^13 + 7079*T1^12*T2^13 - 4493*T1^13*T2^13 + 
      1025*T1^14*T2^13 + 776*T1^15*T2^13 - 185*T1^16*T2^13 + 66*T1^6*T2^14 - 
      272*T1^7*T2^14 - 484*T1^8*T2^14 + 2301*T1^9*T2^14 - 4191*T1^10*T2^14 + 
      4466*T1^11*T2^14 - 3267*T1^12*T2^14 + 1025*T1^13*T2^14 + 
      440*T1^14*T2^14 - 624*T1^15*T2^14 + 110*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 384*T1^9*T2^15 + 304*T1^10*T2^15 + 104*T1^11*T2^15 - 
      536*T1^12*T2^15 + 776*T1^13*T2^15 - 624*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 110*T1^10*T2^16 - 
      185*T1^11*T2^16 + 215*T1^12*T2^16 - 185*T1^13*T2^16 + 110*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 66] -> 
  {(1 - 7*T + 25*T^2 - 52*T^3 + 67*T^4 - 52*T^5 + 25*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 100*T1^2 + 208*T1^3 - 268*T1^4 + 208*T1^5 - 100*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 553*T1^2*T2 - 931*T1^3*T2 + 
     784*T1^4*T2 - 49*T1^5*T2 - 392*T1^6*T2 + 329*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 100*T2^2 + 553*T1*T2^2 - 1523*T1^2*T2^2 + 1878*T1^3*T2^2 - 
     304*T1^4*T2^2 - 2061*T1^5*T2^2 + 1796*T1^6*T2^2 - 372*T1^7*T2^2 - 
     323*T1^8*T2^2 + 203*T1^9*T2^2 - 50*T1^10*T2^2 + 208*T2^3 - 931*T1*T2^3 + 
     1878*T1^2*T2^3 - 63*T1^3*T2^3 - 5054*T1^4*T2^3 + 7537*T1^5*T2^3 - 
     1276*T1^6*T2^3 - 3123*T1^7*T2^3 + 2605*T1^8*T2^3 - 622*T1^9*T2^3 - 
     14*T1^10*T2^3 + 52*T1^11*T2^3 - 268*T2^4 + 784*T1*T2^4 - 304*T1^2*T2^4 - 
     5054*T1^3*T2^4 + 10115*T1^4*T2^4 - 2904*T1^5*T2^4 - 15727*T1^6*T2^4 + 
     15612*T1^7*T2^4 - 4957*T1^8*T2^4 - 1518*T1^9*T2^4 + 1300*T1^10*T2^4 - 
     364*T1^11*T2^4 + 208*T2^5 - 49*T1*T2^5 - 2061*T1^2*T2^5 + 
     7537*T1^3*T2^5 - 2904*T1^4*T2^5 - 20503*T1^5*T2^5 + 40205*T1^6*T2^5 - 
     14476*T1^7*T2^5 - 10741*T1^8*T2^5 + 12647*T1^9*T2^5 - 3718*T1^10*T2^5 - 
     12*T1^11*T2^5 + 364*T1^12*T2^5 - 52*T1^13*T2^5 - 100*T2^6 - 
     392*T1*T2^6 + 1796*T1^2*T2^6 - 1276*T1^3*T2^6 - 15727*T1^4*T2^6 + 
     40205*T1^5*T2^6 - 31552*T1^6*T2^6 - 28562*T1^7*T2^6 + 47228*T1^8*T2^6 - 
     22249*T1^9*T2^6 - 989*T1^10*T2^6 + 3874*T1^11*T2^6 - 1296*T1^12*T2^6 + 
     14*T1^13*T2^6 + 50*T1^14*T2^6 + 28*T2^7 + 329*T1*T2^7 - 372*T1^2*T2^7 - 
     3123*T1^3*T2^7 + 15612*T1^4*T2^7 - 14476*T1^5*T2^7 - 28562*T1^6*T2^7 + 
     84964*T1^7*T2^7 - 56940*T1^8*T2^7 - 3744*T1^9*T2^7 + 24659*T1^10*T2^7 - 
     11799*T1^11*T2^7 + 1366*T1^12*T2^7 + 628*T1^13*T2^7 - 203*T1^14*T2^7 - 
     21*T1^15*T2^7 - 4*T2^8 - 119*T1*T2^8 - 323*T1^2*T2^8 + 2605*T1^3*T2^8 - 
     4957*T1^4*T2^8 - 10741*T1^5*T2^8 + 47228*T1^6*T2^8 - 56940*T1^7*T2^8 - 
     10308*T1^8*T2^8 + 64696*T1^9*T2^8 - 46220*T1^10*T2^8 + 8333*T1^11*T2^8 + 
     4935*T1^12*T2^8 - 2553*T1^13*T2^8 + 319*T1^14*T2^8 + 119*T1^15*T2^8 + 
     4*T1^16*T2^8 + 21*T1*T2^9 + 203*T1^2*T2^9 - 622*T1^3*T2^9 - 
     1518*T1^4*T2^9 + 12647*T1^5*T2^9 - 22249*T1^6*T2^9 - 3744*T1^7*T2^9 + 
     64696*T1^8*T2^9 - 77208*T1^9*T2^9 + 21074*T1^10*T2^9 + 
     16886*T1^11*T2^9 - 14764*T1^12*T2^9 + 2971*T1^13*T2^9 + 378*T1^14*T2^9 - 
     329*T1^15*T2^9 - 28*T1^16*T2^9 - 50*T1^2*T2^10 - 14*T1^3*T2^10 + 
     1300*T1^4*T2^10 - 3718*T1^5*T2^10 - 989*T1^6*T2^10 + 24659*T1^7*T2^10 - 
     46220*T1^8*T2^10 + 21074*T1^9*T2^10 + 32560*T1^10*T2^10 - 
     37795*T1^11*T2^10 + 13749*T1^12*T2^10 + 1432*T1^13*T2^10 - 
     1792*T1^14*T2^10 + 392*T1^15*T2^10 + 100*T1^16*T2^10 + 52*T1^3*T2^11 - 
     364*T1^4*T2^11 - 12*T1^5*T2^11 + 3874*T1^6*T2^11 - 11799*T1^7*T2^11 + 
     8333*T1^8*T2^11 + 16886*T1^9*T2^11 - 37795*T1^10*T2^11 + 
     18095*T1^11*T2^11 + 3752*T1^12*T2^11 - 7381*T1^13*T2^11 + 
     2037*T1^14*T2^11 + 49*T1^15*T2^11 - 208*T1^16*T2^11 + 364*T1^5*T2^12 - 
     1296*T1^6*T2^12 + 1366*T1^7*T2^12 + 4935*T1^8*T2^12 - 14764*T1^9*T2^12 + 
     13749*T1^10*T2^12 + 3752*T1^11*T2^12 - 10137*T1^12*T2^12 + 
     4902*T1^13*T2^12 + 308*T1^14*T2^12 - 784*T1^15*T2^12 + 268*T1^16*T2^12 - 
     52*T1^5*T2^13 + 14*T1^6*T2^13 + 628*T1^7*T2^13 - 2553*T1^8*T2^13 + 
     2971*T1^9*T2^13 + 1432*T1^10*T2^13 - 7381*T1^11*T2^13 + 
     4902*T1^12*T2^13 + 115*T1^13*T2^13 - 1872*T1^14*T2^13 + 
     931*T1^15*T2^13 - 208*T1^16*T2^13 + 50*T1^6*T2^14 - 203*T1^7*T2^14 + 
     319*T1^8*T2^14 + 378*T1^9*T2^14 - 1792*T1^10*T2^14 + 2037*T1^11*T2^14 + 
     308*T1^12*T2^14 - 1872*T1^13*T2^14 + 1519*T1^14*T2^14 - 
     553*T1^15*T2^14 + 100*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     329*T1^9*T2^15 + 392*T1^10*T2^15 + 49*T1^11*T2^15 - 784*T1^12*T2^15 + 
     931*T1^13*T2^15 - 553*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 100*T1^10*T2^16 - 208*T1^11*T2^16 + 
     268*T1^12*T2^16 - 208*T1^13*T2^16 + 100*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 67] -> 
  {-((1 - 8*T + 26*T^2 - 47*T^3 + 55*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 141*T1^3 - 165*T1^4 + 141*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      712*T1^3*T2 + 568*T1^4*T2 - 248*T1^5*T2 - 128*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1030*T1^2*T2^2 + 
      548*T1^3*T2^2 + 1043*T1^4*T2^2 - 2140*T1^5*T2^2 + 2551*T1^6*T2^2 - 
      1480*T1^7*T2^2 + 270*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      141*T2^3 - 712*T1*T2^3 + 548*T1^2*T2^3 + 2497*T1^3*T2^3 - 
      6319*T1^4*T2^3 + 6418*T1^5*T2^3 - 4505*T1^6*T2^3 - 18*T1^7*T2^3 + 
      2193*T1^8*T2^3 - 1246*T1^9*T2^3 + 208*T1^10*T2^3 - 165*T2^4 + 
      568*T1*T2^4 + 1043*T1^2*T2^4 - 6319*T1^3*T2^4 + 8714*T1^4*T2^4 - 
      2636*T1^5*T2^4 - 3832*T1^6*T2^4 + 10592*T1^7*T2^4 - 8734*T1^8*T2^4 + 
      2141*T1^9*T2^4 + 747*T1^10*T2^4 - 440*T1^11*T2^4 + 55*T1^12*T2^4 + 
      141*T2^5 - 248*T1*T2^5 - 2140*T1^2*T2^5 + 6418*T1^3*T2^5 - 
      2636*T1^4*T2^5 - 10855*T1^5*T2^5 + 17488*T1^6*T2^5 - 18786*T1^7*T2^5 + 
      6471*T1^8*T2^5 + 6251*T1^9*T2^5 - 5859*T1^10*T2^5 + 1088*T1^11*T2^5 + 
      312*T1^12*T2^5 - 94*T1^13*T2^5 - 78*T2^6 - 128*T1*T2^6 + 
      2551*T1^2*T2^6 - 4505*T1^3*T2^6 - 3832*T1^4*T2^6 + 17488*T1^5*T2^6 - 
      15627*T1^6*T2^6 + 5965*T1^7*T2^6 + 12557*T1^8*T2^6 - 20168*T1^9*T2^6 + 
      5560*T1^10*T2^6 + 4387*T1^11*T2^6 - 2565*T1^12*T2^6 + 128*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1480*T1^2*T2^7 - 18*T1^3*T2^7 + 
      10592*T1^4*T2^7 - 18786*T1^5*T2^7 + 5965*T1^6*T2^7 + 10245*T1^7*T2^7 - 
      20663*T1^8*T2^7 + 12176*T1^9*T2^7 + 14724*T1^10*T2^7 - 
      15659*T1^11*T2^7 + 2317*T1^12*T2^7 + 1718*T1^13*T2^7 - 368*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 270*T1^2*T2^8 + 2193*T1^3*T2^8 - 
      8734*T1^4*T2^8 + 6471*T1^5*T2^8 + 12557*T1^6*T2^8 - 20663*T1^7*T2^8 + 
      8616*T1^8*T2^8 + 11539*T1^9*T2^8 - 31569*T1^10*T2^8 + 
      10577*T1^11*T2^8 + 8618*T1^12*T2^8 - 5413*T1^13*T2^8 + 110*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 
      1246*T1^3*T2^9 + 2141*T1^4*T2^9 + 6251*T1^5*T2^9 - 20168*T1^6*T2^9 + 
      12176*T1^7*T2^9 + 11539*T1^8*T2^9 - 19369*T1^9*T2^9 + 
      18387*T1^10*T2^9 + 13342*T1^11*T2^9 - 20000*T1^12*T2^9 + 
      4476*T1^13*T2^9 + 1952*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 
      26*T1^2*T2^10 + 208*T1^3*T2^10 + 747*T1^4*T2^10 - 5859*T1^5*T2^10 + 
      5560*T1^6*T2^10 + 14724*T1^7*T2^10 - 31569*T1^8*T2^10 + 
      18387*T1^9*T2^10 - 3385*T1^10*T2^10 - 22932*T1^11*T2^10 + 
      14952*T1^12*T2^10 + 3033*T1^13*T2^10 - 4369*T1^14*T2^10 + 
      464*T1^15*T2^10 + 130*T1^16*T2^10 - 440*T1^4*T2^11 + 1088*T1^5*T2^11 + 
      4387*T1^6*T2^11 - 15659*T1^7*T2^11 + 10577*T1^8*T2^11 + 
      13342*T1^9*T2^11 - 22932*T1^10*T2^11 + 27903*T1^11*T2^11 - 
      6772*T1^12*T2^11 - 7890*T1^13*T2^11 + 4316*T1^14*T2^11 + 
      120*T1^15*T2^11 - 235*T1^16*T2^11 + 55*T1^4*T2^12 + 312*T1^5*T2^12 - 
      2565*T1^6*T2^12 + 2317*T1^7*T2^12 + 8618*T1^8*T2^12 - 
      20000*T1^9*T2^12 + 14952*T1^10*T2^12 - 6772*T1^11*T2^12 - 
      8830*T1^12*T2^12 + 10777*T1^13*T2^12 - 2861*T1^14*T2^12 - 
      696*T1^15*T2^12 + 275*T1^16*T2^12 - 94*T1^5*T2^13 + 128*T1^6*T2^13 + 
      1718*T1^7*T2^13 - 5413*T1^8*T2^13 + 4476*T1^9*T2^13 + 
      3033*T1^10*T2^13 - 7890*T1^11*T2^13 + 10777*T1^12*T2^13 - 
      5717*T1^13*T2^13 - 76*T1^14*T2^13 + 1048*T1^15*T2^13 - 
      235*T1^16*T2^13 + 78*T1^6*T2^14 - 368*T1^7*T2^14 + 110*T1^8*T2^14 + 
      1952*T1^9*T2^14 - 4369*T1^10*T2^14 + 4316*T1^11*T2^14 - 
      2861*T1^12*T2^14 - 76*T1^13*T2^14 + 1410*T1^14*T2^14 - 
      784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      512*T1^9*T2^15 + 464*T1^10*T2^15 + 120*T1^11*T2^15 - 696*T1^12*T2^15 + 
      1048*T1^13*T2^15 - 784*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 130*T1^10*T2^16 - 235*T1^11*T2^16 + 
      275*T1^12*T2^16 - 235*T1^13*T2^16 + 130*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 68] -> 
  {-(((1 - 3*T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3), 
   -((-23 + 172*T1 - 504*T1^2 + 721*T1^3 - 504*T1^4 + 172*T1^5 - 23*T1^6 + 
      172*T2 - 1174*T1*T2 + 2932*T1^2*T2 - 2942*T1^3*T2 + 268*T1^4*T2 + 
      1162*T1^5*T2 - 664*T1^6*T2 + 112*T1^7*T2 - 504*T2^2 + 2932*T1*T2^2 - 
      4961*T1^2*T2^2 - 1307*T1^3*T2^2 + 11709*T1^4*T2^2 - 9755*T1^5*T2^2 + 
      2431*T1^6*T2^2 + 292*T1^7*T2^2 - 152*T1^8*T2^2 + 721*T2^3 - 
      2942*T1*T2^3 - 1307*T1^2*T2^3 + 22328*T1^3*T2^3 - 35794*T1^4*T2^3 + 
      12524*T1^5*T2^3 + 7958*T1^6*T2^3 - 6719*T1^7*T2^3 + 1408*T1^8*T2^3 - 
      35*T1^9*T2^3 - 504*T2^4 + 268*T1*T2^4 + 11709*T1^2*T2^4 - 
      35794*T1^3*T2^4 + 25173*T1^4*T2^4 + 33329*T1^5*T2^4 - 50763*T1^6*T2^4 + 
      21410*T1^7*T2^4 - 1153*T1^8*T2^4 - 1232*T1^9*T2^4 + 200*T1^10*T2^4 + 
      172*T2^5 + 1162*T1*T2^5 - 9755*T1^2*T2^5 + 12524*T1^3*T2^5 + 
      33329*T1^4*T2^5 - 100884*T1^5*T2^5 + 81450*T1^6*T2^5 - 8119*T1^7*T2^5 - 
      18022*T1^8*T2^5 + 7801*T1^9*T2^5 - 548*T1^10*T2^5 - 128*T1^11*T2^5 - 
      23*T2^6 - 664*T1*T2^6 + 2431*T1^2*T2^6 + 7958*T1^3*T2^6 - 
      50763*T1^4*T2^6 + 81450*T1^5*T2^6 - 19104*T1^6*T2^6 - 66966*T1^7*T2^6 + 
      56217*T1^8*T2^6 - 12034*T1^9*T2^6 - 2269*T1^10*T2^6 + 776*T1^11*T2^6 + 
      25*T1^12*T2^6 + 112*T1*T2^7 + 292*T1^2*T2^7 - 6719*T1^3*T2^7 + 
      21410*T1^4*T2^7 - 8119*T1^5*T2^7 - 66966*T1^6*T2^7 + 115368*T1^7*T2^7 - 
      49567*T1^8*T2^7 - 9136*T1^9*T2^7 + 10837*T1^10*T2^7 - 1418*T1^11*T2^7 - 
      188*T1^12*T2^7 - 152*T1^2*T2^8 + 1408*T1^3*T2^8 - 1153*T1^4*T2^8 - 
      18022*T1^5*T2^8 + 56217*T1^6*T2^8 - 49567*T1^7*T2^8 - 19719*T1^8*T2^8 + 
      39182*T1^9*T2^8 - 14015*T1^10*T2^8 - 92*T1^11*T2^8 + 552*T1^12*T2^8 - 
      35*T1^3*T2^9 - 1232*T1^4*T2^9 + 7801*T1^5*T2^9 - 12034*T1^6*T2^9 - 
      9136*T1^7*T2^9 + 39182*T1^8*T2^9 - 26404*T1^9*T2^9 + 2389*T1^10*T2^9 + 
      3118*T1^11*T2^9 - 791*T1^12*T2^9 + 200*T1^4*T2^10 - 548*T1^5*T2^10 - 
      2269*T1^6*T2^10 + 10837*T1^7*T2^10 - 14015*T1^8*T2^10 + 
      2389*T1^9*T2^10 + 5123*T1^10*T2^10 - 3188*T1^11*T2^10 + 
      552*T1^12*T2^10 - 128*T1^5*T2^11 + 776*T1^6*T2^11 - 1418*T1^7*T2^11 - 
      92*T1^8*T2^11 + 3118*T1^9*T2^11 - 3188*T1^10*T2^11 + 1286*T1^11*T2^11 - 
      188*T1^12*T2^11 + 25*T1^6*T2^12 - 188*T1^7*T2^12 + 552*T1^8*T2^12 - 
      791*T1^9*T2^12 + 552*T1^10*T2^12 - 188*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 69] -> 
  {-((1 - 8*T + 27*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 81*T1^2 + 156*T1^3 - 189*T1^4 + 156*T1^5 - 
      81*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 
      816*T1^3*T2 + 680*T1^4*T2 - 240*T1^5*T2 - 184*T1^6*T2 + 240*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1191*T1^2*T2^2 + 
      979*T1^3*T2^2 + 803*T1^4*T2^2 - 2419*T1^5*T2^2 + 2747*T1^6*T2^2 - 
      1397*T1^7*T2^2 + 213*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 
      156*T2^3 - 816*T1*T2^3 + 979*T1^2*T2^3 + 1782*T1^3*T2^3 - 
      6706*T1^4*T2^3 + 7814*T1^5*T2^3 - 4702*T1^6*T2^3 - 718*T1^7*T2^3 + 
      2490*T1^8*T2^3 - 1289*T1^9*T2^3 + 216*T1^10*T2^3 - 189*T2^4 + 
      680*T1*T2^4 + 803*T1^2*T2^4 - 6706*T1^3*T2^4 + 11631*T1^4*T2^4 - 
      5460*T1^5*T2^4 - 5487*T1^6*T2^4 + 13404*T1^7*T2^4 - 9353*T1^8*T2^4 + 
      1822*T1^9*T2^4 + 951*T1^10*T2^4 - 504*T1^11*T2^4 + 63*T1^12*T2^4 + 
      156*T2^5 - 240*T1*T2^5 - 2419*T1^2*T2^5 + 7814*T1^3*T2^5 - 
      5460*T1^4*T2^5 - 12556*T1^5*T2^5 + 26652*T1^6*T2^5 - 24460*T1^7*T2^5 + 
      4788*T1^8*T2^5 + 9156*T1^9*T2^5 - 6854*T1^10*T2^5 + 1253*T1^11*T2^5 + 
      328*T1^12*T2^5 - 104*T1^13*T2^5 - 81*T2^6 - 184*T1*T2^6 + 
      2747*T1^2*T2^6 - 4702*T1^3*T2^6 - 5487*T1^4*T2^6 + 26652*T1^5*T2^6 - 
      28356*T1^6*T2^6 + 4040*T1^7*T2^6 + 25112*T1^8*T2^6 - 28292*T1^9*T2^6 + 
      6643*T1^10*T2^6 + 4586*T1^11*T2^6 - 2789*T1^12*T2^6 + 184*T1^13*T2^6 + 
      81*T1^14*T2^6 + 24*T2^7 + 240*T1*T2^7 - 1397*T1^2*T2^7 - 
      718*T1^3*T2^7 + 13404*T1^4*T2^7 - 24460*T1^5*T2^7 + 4040*T1^6*T2^7 + 
      34882*T1^7*T2^7 - 46406*T1^8*T2^7 + 19520*T1^9*T2^7 + 
      18988*T1^10*T2^7 - 18204*T1^11*T2^7 + 3454*T1^12*T2^7 + 
      1519*T1^13*T2^7 - 392*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 213*T1^2*T2^8 + 2490*T1^3*T2^8 - 9353*T1^4*T2^8 + 
      4788*T1^5*T2^8 + 25112*T1^6*T2^8 - 46406*T1^7*T2^8 + 15588*T1^8*T2^8 + 
      29898*T1^9*T2^8 - 51800*T1^10*T2^8 + 17540*T1^11*T2^8 + 
      6651*T1^12*T2^8 - 5478*T1^13*T2^8 + 273*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 88*T1^2*T2^9 - 1289*T1^3*T2^9 + 
      1822*T1^4*T2^9 + 9156*T1^5*T2^9 - 28292*T1^6*T2^9 + 19520*T1^7*T2^9 + 
      29898*T1^8*T2^9 - 51390*T1^9*T2^9 + 35000*T1^10*T2^9 + 
      15156*T1^11*T2^9 - 22452*T1^12*T2^9 + 5994*T1^13*T2^9 + 
      1627*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 27*T1^2*T2^10 + 
      216*T1^3*T2^10 + 951*T1^4*T2^10 - 6854*T1^5*T2^10 + 6643*T1^6*T2^10 + 
      18988*T1^7*T2^10 - 51800*T1^8*T2^10 + 35000*T1^9*T2^10 + 
      1668*T1^10*T2^10 - 35956*T1^11*T2^10 + 18773*T1^12*T2^10 + 
      2434*T1^13*T2^10 - 4585*T1^14*T2^10 + 584*T1^15*T2^10 + 
      135*T1^16*T2^10 - 504*T1^4*T2^11 + 1253*T1^5*T2^11 + 4586*T1^6*T2^11 - 
      18204*T1^7*T2^11 + 17540*T1^8*T2^11 + 15156*T1^9*T2^11 - 
      35956*T1^10*T2^11 + 34884*T1^11*T2^11 - 3588*T1^12*T2^11 - 
      10082*T1^13*T2^11 + 4925*T1^14*T2^11 + 64*T1^15*T2^11 - 
      260*T1^16*T2^11 + 63*T1^4*T2^12 + 328*T1^5*T2^12 - 2789*T1^6*T2^12 + 
      3454*T1^7*T2^12 + 6651*T1^8*T2^12 - 22452*T1^9*T2^12 + 
      18773*T1^10*T2^12 - 3588*T1^11*T2^12 - 14333*T1^12*T2^12 + 
      11982*T1^13*T2^12 - 2641*T1^14*T2^12 - 856*T1^15*T2^12 + 
      315*T1^16*T2^12 - 104*T1^5*T2^13 + 184*T1^6*T2^13 + 1519*T1^7*T2^13 - 
      5478*T1^8*T2^13 + 5994*T1^9*T2^13 + 2434*T1^10*T2^13 - 
      10082*T1^11*T2^13 + 11982*T1^12*T2^13 - 4770*T1^13*T2^13 - 
      749*T1^14*T2^13 + 1216*T1^15*T2^13 - 260*T1^16*T2^13 + 81*T1^6*T2^14 - 
      392*T1^7*T2^14 + 273*T1^8*T2^14 + 1627*T1^9*T2^14 - 4585*T1^10*T2^14 + 
      4925*T1^11*T2^14 - 2641*T1^12*T2^14 - 749*T1^13*T2^14 + 
      1677*T1^14*T2^14 - 824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 544*T1^9*T2^15 + 584*T1^10*T2^15 + 64*T1^11*T2^15 - 
      856*T1^12*T2^15 + 1216*T1^13*T2^15 - 824*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      135*T1^10*T2^16 - 260*T1^11*T2^16 + 315*T1^12*T2^16 - 260*T1^13*T2^16 + 
      135*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 70] -> 
  {(1 - 8*T + 27*T^2 - 50*T^3 + 61*T^4 - 50*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 54*T1^2 + 100*T1^3 - 122*T1^4 + 100*T1^5 - 54*T1^6 + 
     16*T1^7 - 2*T1^8 + 16*T2 - 120*T1*T2 + 368*T1^2*T2 - 584*T1^3*T2 + 
     576*T1^4*T2 - 312*T1^5*T2 + 32*T1^6*T2 + 88*T1^7*T2 - 48*T1^8*T2 + 
     8*T1^9*T2 - 54*T2^2 + 368*T1*T2^2 - 947*T1^2*T2^2 + 976*T1^3*T2^2 - 
     106*T1^4*T2^2 - 1189*T1^5*T2^2 + 1730*T1^6*T2^2 - 1292*T1^7*T2^2 + 
     457*T1^8*T2^2 - 64*T1^9*T2^2 + 100*T2^3 - 584*T1*T2^3 + 976*T1^2*T2^3 + 
     780*T1^3*T2^3 - 4272*T1^4*T2^3 + 6819*T1^5*T2^3 - 5607*T1^6*T2^3 + 
     2010*T1^7*T2^3 + 870*T1^8*T2^3 - 1130*T1^9*T2^3 + 400*T1^10*T2^3 - 
     50*T1^11*T2^3 - 122*T2^4 + 576*T1*T2^4 - 106*T1^2*T2^4 - 
     4272*T1^3*T2^4 + 9294*T1^4*T2^4 - 8407*T1^5*T2^4 - 84*T1^6*T2^4 + 
     8545*T1^7*T2^4 - 9666*T1^8*T2^4 + 4328*T1^9*T2^4 + 82*T1^10*T2^4 - 
     576*T1^11*T2^4 + 122*T1^12*T2^4 + 100*T2^5 - 312*T1*T2^5 - 
     1189*T1^2*T2^5 + 6819*T1^3*T2^5 - 8407*T1^4*T2^5 - 3350*T1^5*T2^5 + 
     20400*T1^6*T2^5 - 25472*T1^7*T2^5 + 12334*T1^8*T2^5 + 3757*T1^9*T2^5 - 
     8059*T1^10*T2^5 + 2423*T1^11*T2^5 + 224*T1^12*T2^5 - 150*T1^13*T2^5 - 
     54*T2^6 + 32*T1*T2^6 + 1730*T1^2*T2^6 - 5607*T1^3*T2^6 - 84*T1^4*T2^6 + 
     20400*T1^5*T2^6 - 29577*T1^6*T2^6 + 12489*T1^7*T2^6 + 19431*T1^8*T2^6 - 
     30048*T1^9*T2^6 + 15442*T1^10*T2^6 + 3141*T1^11*T2^6 - 3402*T1^12*T2^6 + 
     336*T1^13*T2^6 + 108*T1^14*T2^6 + 16*T2^7 + 88*T1*T2^7 - 
     1292*T1^2*T2^7 + 2010*T1^3*T2^7 + 8545*T1^4*T2^7 - 25472*T1^5*T2^7 + 
     12489*T1^6*T2^7 + 20664*T1^7*T2^7 - 43332*T1^8*T2^7 + 21457*T1^9*T2^7 + 
     11248*T1^10*T2^7 - 22771*T1^11*T2^7 + 5000*T1^12*T2^7 + 
     1786*T1^13*T2^7 - 544*T1^14*T2^7 - 40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 
     457*T1^2*T2^8 + 870*T1^3*T2^8 - 9666*T1^4*T2^8 + 12334*T1^5*T2^8 + 
     19431*T1^6*T2^8 - 43332*T1^7*T2^8 + 33480*T1^8*T2^8 + 14116*T1^9*T2^8 - 
     34593*T1^10*T2^8 + 19558*T1^11*T2^8 + 10354*T1^12*T2^8 - 
     7490*T1^13*T2^8 + 517*T1^14*T2^8 + 272*T1^15*T2^8 + 6*T1^16*T2^8 + 
     8*T1*T2^9 - 64*T1^2*T2^9 - 1130*T1^3*T2^9 + 4328*T1^4*T2^9 + 
     3757*T1^5*T2^9 - 30048*T1^6*T2^9 + 21457*T1^7*T2^9 + 14116*T1^8*T2^9 - 
     49880*T1^9*T2^9 + 30425*T1^10*T2^9 + 6672*T1^11*T2^9 - 
     27559*T1^12*T2^9 + 7318*T1^13*T2^9 + 1948*T1^14*T2^9 - 696*T1^15*T2^9 - 
     48*T1^16*T2^9 + 400*T1^3*T2^10 + 82*T1^4*T2^10 - 8059*T1^5*T2^10 + 
     15442*T1^6*T2^10 + 11248*T1^7*T2^10 - 34593*T1^8*T2^10 + 
     30425*T1^9*T2^10 + 14415*T1^10*T2^10 - 39200*T1^11*T2^10 + 
     30968*T1^12*T2^10 + 689*T1^13*T2^10 - 5050*T1^14*T2^10 + 
     704*T1^15*T2^10 + 162*T1^16*T2^10 - 50*T1^3*T2^11 - 576*T1^4*T2^11 + 
     2423*T1^5*T2^11 + 3141*T1^6*T2^11 - 22771*T1^7*T2^11 + 
     19558*T1^8*T2^11 + 6672*T1^9*T2^11 - 39200*T1^10*T2^11 + 
     35242*T1^11*T2^11 - 10607*T1^12*T2^11 - 11737*T1^13*T2^11 + 
     6035*T1^14*T2^11 - 40*T1^15*T2^11 - 300*T1^16*T2^11 + 122*T1^4*T2^12 + 
     224*T1^5*T2^12 - 3402*T1^6*T2^12 + 5000*T1^7*T2^12 + 10354*T1^8*T2^12 - 
     27559*T1^9*T2^12 + 30968*T1^10*T2^12 - 10607*T1^11*T2^12 - 
     8606*T1^12*T2^12 + 13600*T1^13*T2^12 - 3214*T1^14*T2^12 - 
     928*T1^15*T2^12 + 366*T1^16*T2^12 - 150*T1^5*T2^13 + 336*T1^6*T2^13 + 
     1786*T1^7*T2^13 - 7490*T1^8*T2^13 + 7318*T1^9*T2^13 + 689*T1^10*T2^13 - 
     11737*T1^11*T2^13 + 13600*T1^12*T2^13 - 7400*T1^13*T2^13 - 
     320*T1^14*T2^13 + 1320*T1^15*T2^13 - 300*T1^16*T2^13 + 108*T1^6*T2^14 - 
     544*T1^7*T2^14 + 517*T1^8*T2^14 + 1948*T1^9*T2^14 - 5050*T1^10*T2^14 + 
     6035*T1^11*T2^14 - 3214*T1^12*T2^14 - 320*T1^13*T2^14 + 
     1921*T1^14*T2^14 - 976*T1^15*T2^14 + 162*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 696*T1^9*T2^15 + 704*T1^10*T2^15 - 40*T1^11*T2^15 - 
     928*T1^12*T2^15 + 1320*T1^13*T2^15 - 976*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 162*T1^10*T2^16 - 
     300*T1^11*T2^16 + 366*T1^12*T2^16 - 300*T1^13*T2^16 + 162*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 71] -> 
  {-((1 - 8*T + 25*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 220*T1^3 - 255*T1^4 + 220*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 744*T1^2*T2 - 
      960*T1^3*T2 + 632*T1^4*T2 - 128*T1^5*T2 - 408*T1^6*T2 + 480*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 744*T1*T2^2 - 1151*T1^2*T2^2 - 
      307*T1^3*T2^2 + 3033*T1^4*T2^2 - 4283*T1^5*T2^2 + 4333*T1^6*T2^2 - 
      2107*T1^7*T2^2 + 49*T1^8*T2^2 + 344*T1^9*T2^2 - 75*T1^10*T2^2 + 
      220*T2^3 - 960*T1*T2^3 - 307*T1^2*T2^3 + 5660*T1^3*T2^3 - 
      9799*T1^4*T2^3 + 7000*T1^5*T2^3 - 2892*T1^6*T2^3 - 3787*T1^7*T2^3 + 
      5000*T1^8*T2^3 - 1807*T1^9*T2^3 - 104*T1^10*T2^3 + 88*T1^11*T2^3 - 
      255*T2^4 + 632*T1*T2^4 + 3033*T1^2*T2^4 - 9799*T1^3*T2^4 + 
      7710*T1^4*T2^4 + 5215*T1^5*T2^4 - 11412*T1^6*T2^4 + 16175*T1^7*T2^4 - 
      7434*T1^8*T2^4 - 1879*T1^9*T2^4 + 2501*T1^10*T2^4 - 296*T1^11*T2^4 - 
      51*T1^12*T2^4 + 220*T2^5 - 128*T1*T2^5 - 4283*T1^2*T2^5 + 
      7000*T1^3*T2^5 + 5215*T1^4*T2^5 - 21632*T1^5*T2^5 + 16879*T1^6*T2^5 - 
      10425*T1^7*T2^5 - 8048*T1^8*T2^5 + 12775*T1^9*T2^5 - 4020*T1^10*T2^5 - 
      1091*T1^11*T2^5 + 408*T1^12*T2^5 - 125*T2^6 - 408*T1*T2^6 + 
      4333*T1^2*T2^6 - 2892*T1^3*T2^6 - 11412*T1^4*T2^6 + 16879*T1^5*T2^6 + 
      4138*T1^6*T2^6 - 13858*T1^7*T2^6 + 23350*T1^8*T2^6 - 11121*T1^9*T2^6 - 
      4514*T1^10*T2^6 + 5308*T1^11*T2^6 - 631*T1^12*T2^6 - 200*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 480*T1*T2^7 - 2107*T1^2*T2^7 - 
      3787*T1^3*T2^7 + 16175*T1^4*T2^7 - 10425*T1^5*T2^7 - 13858*T1^6*T2^7 + 
      12116*T1^7*T2^7 - 5860*T1^8*T2^7 - 10122*T1^9*T2^7 + 15487*T1^10*T2^7 - 
      4985*T1^11*T2^7 - 2167*T1^12*T2^7 + 1193*T1^13*T2^7 - 72*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 49*T1^2*T2^8 + 5000*T1^3*T2^8 - 
      7434*T1^4*T2^8 - 8048*T1^5*T2^8 + 23350*T1^6*T2^8 - 5860*T1^7*T2^8 - 
      8100*T1^8*T2^8 + 13964*T1^9*T2^8 - 7738*T1^10*T2^8 - 5888*T1^11*T2^8 + 
      7602*T1^12*T2^8 - 1880*T1^13*T2^8 - 323*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 344*T1^2*T2^9 - 1807*T1^3*T2^9 - 
      1879*T1^4*T2^9 + 12775*T1^5*T2^9 - 11121*T1^6*T2^9 - 10122*T1^7*T2^9 + 
      13964*T1^8*T2^9 - 4012*T1^9*T2^9 - 6386*T1^10*T2^9 + 14791*T1^11*T2^9 - 
      8385*T1^12*T2^9 - 259*T1^13*T2^9 + 1493*T1^14*T2^9 - 208*T1^15*T2^9 - 
      24*T1^16*T2^9 - 75*T1^2*T2^10 - 104*T1^3*T2^10 + 2501*T1^4*T2^10 - 
      4020*T1^5*T2^10 - 4514*T1^6*T2^10 + 15487*T1^7*T2^10 - 
      7738*T1^8*T2^10 - 6386*T1^9*T2^10 + 11474*T1^10*T2^10 - 
      12513*T1^11*T2^10 + 2384*T1^12*T2^10 + 4180*T1^13*T2^10 - 
      2463*T1^14*T2^10 + 104*T1^15*T2^10 + 75*T1^16*T2^10 + 88*T1^3*T2^11 - 
      296*T1^4*T2^11 - 1091*T1^5*T2^11 + 5308*T1^6*T2^11 - 4985*T1^7*T2^11 - 
      5888*T1^8*T2^11 + 14791*T1^9*T2^11 - 12513*T1^10*T2^11 + 
      7696*T1^11*T2^11 + 2575*T1^12*T2^11 - 5712*T1^13*T2^11 + 
      2101*T1^14*T2^11 + 240*T1^15*T2^11 - 132*T1^16*T2^11 - 51*T1^4*T2^12 + 
      408*T1^5*T2^12 - 631*T1^6*T2^12 - 2167*T1^7*T2^12 + 7602*T1^8*T2^12 - 
      8385*T1^9*T2^12 + 2384*T1^10*T2^12 + 2575*T1^11*T2^12 - 
      7542*T1^12*T2^12 + 5753*T1^13*T2^12 - 1163*T1^14*T2^12 - 
      520*T1^15*T2^12 + 153*T1^16*T2^12 - 200*T1^6*T2^13 + 1193*T1^7*T2^13 - 
      1880*T1^8*T2^13 - 259*T1^9*T2^13 + 4180*T1^10*T2^13 - 
      5712*T1^11*T2^13 + 5753*T1^12*T2^13 - 2540*T1^13*T2^13 - 
      307*T1^14*T2^13 + 656*T1^15*T2^13 - 132*T1^16*T2^13 + 25*T1^6*T2^14 - 
      72*T1^7*T2^14 - 323*T1^8*T2^14 + 1493*T1^9*T2^14 - 2463*T1^10*T2^14 + 
      2101*T1^11*T2^14 - 1163*T1^12*T2^14 - 307*T1^13*T2^14 + 
      877*T1^14*T2^14 - 472*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 208*T1^9*T2^15 + 104*T1^10*T2^15 + 240*T1^11*T2^15 - 
      520*T1^12*T2^15 + 656*T1^13*T2^15 - 472*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      132*T1^11*T2^16 + 153*T1^12*T2^16 - 132*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 72] -> 
  {-((2 - 16*T + 47*T^2 - 67*T^3 + 47*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-25 + 200*T1 - 588*T1^2 + 839*T1^3 - 588*T1^4 + 200*T1^5 - 25*T1^6 + 
      200*T2 - 1464*T1*T2 + 3616*T1^2*T2 - 3512*T1^3*T2 + 136*T1^4*T2 + 
      1600*T1^5*T2 - 888*T1^6*T2 + 136*T1^7*T2 - 588*T2^2 + 3616*T1*T2^2 - 
      5322*T1^2*T2^2 - 4237*T1^3*T2^2 + 17828*T1^4*T2^2 - 13825*T1^5*T2^2 + 
      3138*T1^6*T2^2 + 608*T1^7*T2^2 - 212*T1^8*T2^2 + 839*T2^3 - 
      3512*T1*T2^3 - 4237*T1^2*T2^3 + 33824*T1^3*T2^3 - 48265*T1^4*T2^3 + 
      12137*T1^5*T2^3 + 14186*T1^6*T2^3 - 9595*T1^7*T2^3 + 1416*T1^8*T2^3 + 
      35*T1^9*T2^3 - 588*T2^4 + 136*T1*T2^4 + 17828*T1^2*T2^4 - 
      48265*T1^3*T2^4 + 24004*T1^4*T2^4 + 58486*T1^5*T2^4 - 68420*T1^6*T2^4 + 
      23023*T1^7*T2^4 + 1196*T1^8*T2^4 - 1592*T1^9*T2^4 + 164*T1^10*T2^4 + 
      200*T2^5 + 1600*T1*T2^5 - 13825*T1^2*T2^5 + 12137*T1^3*T2^5 + 
      58486*T1^4*T2^5 - 137311*T1^5*T2^5 + 82427*T1^6*T2^5 + 8243*T1^7*T2^5 - 
      26493*T1^8*T2^5 + 8453*T1^9*T2^5 - 352*T1^10*T2^5 - 120*T1^11*T2^5 - 
      25*T2^6 - 888*T1*T2^6 + 3138*T1^2*T2^6 + 14186*T1^3*T2^6 - 
      68420*T1^4*T2^6 + 82427*T1^5*T2^6 + 19536*T1^6*T2^6 - 97195*T1^7*T2^6 + 
      62910*T1^8*T2^6 - 9982*T1^9*T2^6 - 3282*T1^10*T2^6 + 776*T1^11*T2^6 + 
      23*T1^12*T2^6 + 136*T1*T2^7 + 608*T1^2*T2^7 - 9595*T1^3*T2^7 + 
      23023*T1^4*T2^7 + 8243*T1^5*T2^7 - 97195*T1^6*T2^7 + 122543*T1^7*T2^7 - 
      42000*T1^8*T2^7 - 15607*T1^9*T2^7 + 12683*T1^10*T2^7 - 
      1344*T1^11*T2^7 - 184*T1^12*T2^7 - 212*T1^2*T2^8 + 1416*T1^3*T2^8 + 
      1196*T1^4*T2^8 - 26493*T1^5*T2^8 + 62910*T1^6*T2^8 - 42000*T1^7*T2^8 - 
      29514*T1^8*T2^8 + 44795*T1^9*T2^8 - 15436*T1^10*T2^8 - 312*T1^11*T2^8 + 
      540*T1^12*T2^8 + 35*T1^3*T2^9 - 1592*T1^4*T2^9 + 8453*T1^5*T2^9 - 
      9982*T1^6*T2^9 - 15607*T1^7*T2^9 + 44795*T1^8*T2^9 - 29620*T1^9*T2^9 + 
      3095*T1^10*T2^9 + 3336*T1^11*T2^9 - 769*T1^12*T2^9 + 164*T1^4*T2^10 - 
      352*T1^5*T2^10 - 3282*T1^6*T2^10 + 12683*T1^7*T2^10 - 
      15436*T1^8*T2^10 + 3095*T1^9*T2^10 + 5178*T1^10*T2^10 - 
      3360*T1^11*T2^10 + 540*T1^12*T2^10 - 120*T1^5*T2^11 + 776*T1^6*T2^11 - 
      1344*T1^7*T2^11 - 312*T1^8*T2^11 + 3336*T1^9*T2^11 - 3360*T1^10*T2^11 + 
      1352*T1^11*T2^11 - 184*T1^12*T2^11 + 23*T1^6*T2^12 - 184*T1^7*T2^12 + 
      540*T1^8*T2^12 - 769*T1^9*T2^12 + 540*T1^10*T2^12 - 184*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 73] -> 
  {(2 - 17*T + 51*T^2 - 71*T^3 + 51*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (-33 + 279*T1 - 834*T1^2 + 1159*T1^3 - 834*T1^4 + 279*T1^5 - 33*T1^6 + 
     279*T2 - 2148*T1*T2 + 5272*T1^2*T2 - 4484*T1^3*T2 - 336*T1^4*T2 + 
     2960*T1^5*T2 - 1502*T1^6*T2 + 211*T1^7*T2 - 834*T2^2 + 5272*T1*T2^2 - 
     6567*T1^2*T2^2 - 11629*T1^3*T2^2 + 30047*T1^4*T2^2 - 22645*T1^5*T2^2 + 
     3429*T1^6*T2^2 + 1804*T1^7*T2^2 - 426*T1^8*T2^2 + 1159*T2^3 - 
     4484*T1*T2^3 - 11629*T1^2*T2^3 + 62239*T1^3*T2^3 - 68865*T1^4*T2^3 + 
     7941*T1^5*T2^3 + 34381*T1^6*T2^3 - 16882*T1^7*T2^3 + 1024*T1^8*T2^3 + 
     307*T1^9*T2^3 - 834*T2^4 - 336*T1*T2^4 + 30047*T1^2*T2^4 - 
     68865*T1^3*T2^4 - 5724*T1^4*T2^4 + 123506*T1^5*T2^4 - 116088*T1^6*T2^4 + 
     20453*T1^7*T2^4 + 9817*T1^8*T2^4 - 2444*T1^9*T2^4 - 18*T1^10*T2^4 + 
     279*T2^5 + 2960*T1*T2^5 - 22645*T1^2*T2^5 + 7941*T1^3*T2^5 + 
     123506*T1^4*T2^5 - 193902*T1^5*T2^5 + 74222*T1^6*T2^5 + 
     58481*T1^7*T2^5 - 43841*T1^8*T2^5 + 5660*T1^9*T2^5 + 648*T1^10*T2^5 - 
     61*T1^11*T2^5 - 33*T2^6 - 1502*T1*T2^6 + 3429*T1^2*T2^6 + 
     34381*T1^3*T2^6 - 116088*T1^4*T2^6 + 74222*T1^5*T2^6 + 88788*T1^6*T2^6 - 
     150450*T1^7*T2^6 + 57958*T1^8*T2^6 + 3199*T1^9*T2^6 - 4595*T1^10*T2^6 + 
     402*T1^11*T2^6 + 15*T1^12*T2^6 + 211*T1*T2^7 + 1804*T1^2*T2^7 - 
     16882*T1^3*T2^7 + 20453*T1^4*T2^7 + 58481*T1^5*T2^7 - 150450*T1^6*T2^7 + 
     117674*T1^7*T2^7 - 6544*T1^8*T2^7 - 31329*T1^9*T2^7 + 11423*T1^10*T2^7 - 
     508*T1^11*T2^7 - 129*T1^12*T2^7 - 426*T1^2*T2^8 + 1024*T1^3*T2^8 + 
     9817*T1^4*T2^8 - 43841*T1^5*T2^8 + 57958*T1^6*T2^8 - 6544*T1^7*T2^8 - 
     52406*T1^8*T2^8 + 45477*T1^9*T2^8 - 10413*T1^10*T2^8 - 1084*T1^11*T2^8 + 
     390*T1^12*T2^8 + 307*T1^3*T2^9 - 2444*T1^4*T2^9 + 5660*T1^5*T2^9 + 
     3199*T1^6*T2^9 - 31329*T1^7*T2^9 + 45477*T1^8*T2^9 - 24659*T1^9*T2^9 + 
     407*T1^10*T2^9 + 3064*T1^11*T2^9 - 545*T1^12*T2^9 - 18*T1^4*T2^10 + 
     648*T1^5*T2^10 - 4595*T1^6*T2^10 + 11423*T1^7*T2^10 - 10413*T1^8*T2^10 + 
     407*T1^9*T2^10 + 5401*T1^10*T2^10 - 2820*T1^11*T2^10 + 390*T1^12*T2^10 - 
     61*T1^5*T2^11 + 402*T1^6*T2^11 - 508*T1^7*T2^11 - 1084*T1^8*T2^11 + 
     3064*T1^9*T2^11 - 2820*T1^10*T2^11 + 1048*T1^11*T2^11 - 
     129*T1^12*T2^11 + 15*T1^6*T2^12 - 129*T1^7*T2^12 + 390*T1^8*T2^12 - 
     545*T1^9*T2^12 + 390*T1^10*T2^12 - 129*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 74] -> 
  {-((1 - 7*T + 26*T^2 - 57*T^3 + 73*T^4 - 57*T^5 + 26*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 78*T1^2 + 171*T1^3 - 219*T1^4 + 171*T1^5 - 
      78*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 448*T1^2*T2 - 
      833*T1^3*T2 + 735*T1^4*T2 - 175*T1^5*T2 - 252*T1^6*T2 + 217*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 78*T2^2 + 448*T1*T2^2 - 1367*T1^2*T2^2 + 
      2084*T1^3*T2^2 - 817*T1^4*T2^2 - 1173*T1^5*T2^2 + 1627*T1^6*T2^2 - 
      516*T1^7*T2^2 - 67*T1^8*T2^2 + 84*T1^9*T2^2 - 26*T1^10*T2^2 + 
      171*T2^3 - 833*T1*T2^3 + 2084*T1^2*T2^3 - 1611*T1^3*T2^3 - 
      3359*T1^4*T2^3 + 6339*T1^5*T2^3 - 3128*T1^6*T2^3 - 1933*T1^7*T2^3 + 
      2301*T1^8*T2^3 - 906*T1^9*T2^3 + 182*T1^10*T2^3 - 219*T2^4 + 
      735*T1*T2^4 - 817*T1^2*T2^4 - 3359*T1^3*T2^4 + 11743*T1^4*T2^4 - 
      8075*T1^5*T2^4 - 6873*T1^6*T2^4 + 14831*T1^7*T2^4 - 7133*T1^8*T2^4 - 
      53*T1^9*T2^4 + 1189*T1^10*T2^4 - 511*T1^11*T2^4 + 73*T1^12*T2^4 + 
      171*T2^5 - 175*T1*T2^5 - 1173*T1^2*T2^5 + 6339*T1^3*T2^5 - 
      8075*T1^4*T2^5 - 14696*T1^5*T2^5 + 40913*T1^6*T2^5 - 33913*T1^7*T2^5 + 
      2200*T1^8*T2^5 + 11128*T1^9*T2^5 - 5418*T1^10*T2^5 + 666*T1^11*T2^5 + 
      287*T1^12*T2^5 - 114*T1^13*T2^5 - 78*T2^6 - 252*T1*T2^6 + 
      1627*T1^2*T2^6 - 3128*T1^3*T2^6 - 6873*T1^4*T2^6 + 40913*T1^5*T2^6 - 
      52943*T1^6*T2^6 + 3805*T1^7*T2^6 + 49569*T1^8*T2^6 - 42867*T1^9*T2^6 + 
      8443*T1^10*T2^6 + 2904*T1^11*T2^6 - 1693*T1^12*T2^6 + 252*T1^13*T2^6 + 
      78*T1^14*T2^6 + 21*T2^7 + 217*T1*T2^7 - 516*T1^2*T2^7 - 
      1933*T1^3*T2^7 + 14831*T1^4*T2^7 - 33913*T1^5*T2^7 + 3805*T1^6*T2^7 + 
      86164*T1^7*T2^7 - 115386*T1^8*T2^7 + 44994*T1^9*T2^7 + 
      23005*T1^10*T2^7 - 19184*T1^11*T2^7 + 4161*T1^12*T2^7 + 
      134*T1^13*T2^7 - 350*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 - 
      67*T1^2*T2^8 + 2301*T1^3*T2^8 - 7133*T1^4*T2^8 + 2200*T1^5*T2^8 + 
      49569*T1^6*T2^8 - 115386*T1^7*T2^8 + 59208*T1^8*T2^8 + 
      62114*T1^9*T2^8 - 97193*T1^10*T2^8 + 31528*T1^11*T2^8 + 
      1511*T1^12*T2^8 - 2941*T1^13*T2^8 + 787*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 84*T1^2*T2^9 - 906*T1^3*T2^9 - 
      53*T1^4*T2^9 + 11128*T1^5*T2^9 - 42867*T1^6*T2^9 + 44994*T1^7*T2^9 + 
      62114*T1^8*T2^9 - 139436*T1^9*T2^9 + 86183*T1^10*T2^9 + 
      14051*T1^11*T2^9 - 22887*T1^12*T2^9 + 6041*T1^13*T2^9 - 
      256*T1^14*T2^9 - 483*T1^15*T2^9 - 35*T1^16*T2^9 - 26*T1^2*T2^10 + 
      182*T1^3*T2^10 + 1189*T1^4*T2^10 - 5418*T1^5*T2^10 + 8443*T1^6*T2^10 + 
      23005*T1^7*T2^10 - 97193*T1^8*T2^10 + 86183*T1^9*T2^10 + 
      5319*T1^10*T2^10 - 60775*T1^11*T2^10 + 23759*T1^12*T2^10 + 
      614*T1^13*T2^10 - 2131*T1^14*T2^10 + 686*T1^15*T2^10 + 
      130*T1^16*T2^10 - 511*T1^4*T2^11 + 666*T1^5*T2^11 + 2904*T1^6*T2^11 - 
      19184*T1^7*T2^11 + 31528*T1^8*T2^11 + 14051*T1^9*T2^11 - 
      60775*T1^10*T2^11 + 48424*T1^11*T2^11 + 19*T1^12*T2^11 - 
      8853*T1^13*T2^11 + 2505*T1^14*T2^11 - 49*T1^15*T2^11 - 
      285*T1^16*T2^11 + 73*T1^4*T2^12 + 287*T1^5*T2^12 - 1693*T1^6*T2^12 + 
      4161*T1^7*T2^12 + 1511*T1^8*T2^12 - 22887*T1^9*T2^12 + 
      23759*T1^10*T2^12 + 19*T1^11*T2^12 - 17365*T1^12*T2^12 + 
      7467*T1^13*T2^12 + 313*T1^14*T2^12 - 959*T1^15*T2^12 + 
      365*T1^16*T2^12 - 114*T1^5*T2^13 + 252*T1^6*T2^13 + 134*T1^7*T2^13 - 
      2941*T1^8*T2^13 + 6041*T1^9*T2^13 + 614*T1^10*T2^13 - 
      8853*T1^11*T2^13 + 7467*T1^12*T2^13 + 971*T1^13*T2^13 - 
      2856*T1^14*T2^13 + 1267*T1^15*T2^13 - 285*T1^16*T2^13 + 78*T1^6*T2^14 - 
      350*T1^7*T2^14 + 787*T1^8*T2^14 - 256*T1^9*T2^14 - 2131*T1^10*T2^14 + 
      2505*T1^11*T2^14 + 313*T1^12*T2^14 - 2856*T1^13*T2^14 + 
      2087*T1^14*T2^14 - 714*T1^15*T2^14 + 130*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 483*T1^9*T2^15 + 686*T1^10*T2^15 - 49*T1^11*T2^15 - 
      959*T1^12*T2^15 + 1267*T1^13*T2^15 - 714*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      130*T1^10*T2^16 - 285*T1^11*T2^16 + 365*T1^12*T2^16 - 285*T1^13*T2^16 + 
      130*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 75] -> 
  {-((5 - 24*T + 46*T^2 - 55*T^3 + 46*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((-645 + 3085*T1 - 5875*T1^2 + 7007*T1^3 - 5875*T1^4 + 3085*T1^5 - 
      645*T1^6 + 3085*T2 - 12288*T1*T2 + 16281*T1^2*T2 - 10968*T1^3*T2 + 
      1152*T1^4*T2 + 7881*T1^5*T2 - 8808*T1^6*T2 + 2485*T1^7*T2 - 5875*T2^2 + 
      16281*T1*T2^2 - 388*T1^2*T2^2 - 27575*T1^3*T2^2 + 43730*T1^4*T2^2 - 
      41835*T1^5*T2^2 + 18472*T1^6*T2^2 + 5241*T1^7*T2^2 - 3575*T1^8*T2^2 + 
      7007*T2^3 - 10968*T1*T2^3 - 27575*T1^2*T2^3 + 53003*T1^3*T2^3 - 
      41676*T1^4*T2^3 + 12078*T1^5*T2^3 + 25223*T1^6*T2^3 - 33509*T1^7*T2^3 + 
      3312*T1^8*T2^3 + 2882*T1^9*T2^3 - 5875*T2^4 + 1152*T1*T2^4 + 
      43730*T1^2*T2^4 - 41676*T1^3*T2^4 + 3679*T1^4*T2^4 + 25913*T1^5*T2^4 - 
      40441*T1^6*T2^4 + 15964*T1^7*T2^4 + 22690*T1^8*T2^4 - 7728*T1^9*T2^4 - 
      1275*T1^10*T2^4 + 3085*T2^5 + 7881*T1*T2^5 - 41835*T1^2*T2^5 + 
      12078*T1^3*T2^5 + 25913*T1^4*T2^5 - 28134*T1^5*T2^5 + 12956*T1^6*T2^5 + 
      19933*T1^7*T2^5 - 33904*T1^8*T2^5 - 2597*T1^9*T2^5 + 5721*T1^10*T2^5 + 
      85*T1^11*T2^5 - 645*T2^6 - 8808*T1*T2^6 + 18472*T1^2*T2^6 + 
      25223*T1^3*T2^6 - 40441*T1^4*T2^6 + 12956*T1^5*T2^6 + 12216*T1^6*T2^6 - 
      27372*T1^7*T2^6 + 13251*T1^8*T2^6 + 21389*T1^9*T2^6 - 8764*T1^10*T2^6 - 
      888*T1^11*T2^6 + 105*T1^12*T2^6 + 2485*T1*T2^7 + 5241*T1^2*T2^7 - 
      33509*T1^3*T2^7 + 15964*T1^4*T2^7 + 19933*T1^5*T2^7 - 27372*T1^6*T2^7 + 
      13718*T1^7*T2^7 + 13953*T1^8*T2^7 - 30018*T1^9*T2^7 + 5729*T1^10*T2^7 + 
      3081*T1^11*T2^7 - 515*T1^12*T2^7 - 3575*T1^2*T2^8 + 3312*T1^3*T2^8 + 
      22690*T1^4*T2^8 - 33904*T1^5*T2^8 + 13251*T1^6*T2^8 + 13953*T1^7*T2^8 - 
      30869*T1^8*T2^8 + 23736*T1^9*T2^8 + 1650*T1^10*T2^8 - 5568*T1^11*T2^8 + 
      1025*T1^12*T2^8 + 2882*T1^3*T2^9 - 7728*T1^4*T2^9 - 2597*T1^5*T2^9 + 
      21389*T1^6*T2^9 - 30018*T1^7*T2^9 + 23736*T1^8*T2^9 - 6391*T1^9*T2^9 - 
      8531*T1^10*T2^9 + 6552*T1^11*T2^9 - 1243*T1^12*T2^9 - 1275*T1^4*T2^10 + 
      5721*T1^5*T2^10 - 8764*T1^6*T2^10 + 5729*T1^7*T2^10 + 1650*T1^8*T2^10 - 
      8531*T1^9*T2^10 + 10096*T1^10*T2^10 - 5319*T1^11*T2^10 + 
      1025*T1^12*T2^10 + 85*T1^5*T2^11 - 888*T1^6*T2^11 + 3081*T1^7*T2^11 - 
      5568*T1^8*T2^11 + 6552*T1^9*T2^11 - 5319*T1^10*T2^11 + 
      2592*T1^11*T2^11 - 515*T1^12*T2^11 + 105*T1^6*T2^12 - 515*T1^7*T2^12 + 
      1025*T1^8*T2^12 - 1243*T1^9*T2^12 + 1025*T1^10*T2^12 - 
      515*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 76] -> {-((8 - 36*T + 55*T^2 - 36*T^3 + 8*T^4)/T^2), 
   -((-1720 + 7740*T1 - 11798*T1^2 + 7740*T1^3 - 1720*T1^4 + 7740*T2 - 
      29408*T1*T2 + 28653*T1^2*T2 + 2445*T1^3*T2 - 16736*T1^4*T2 + 
      5436*T1^5*T2 - 11798*T2^2 + 28653*T1*T2^2 + 24214*T1^2*T2^2 - 
      92976*T1^3*T2^2 + 65574*T1^4*T2^2 - 3027*T1^5*T2^2 - 4758*T1^6*T2^2 + 
      7740*T2^3 + 2445*T1*T2^3 - 92976*T1^2*T2^3 + 124976*T1^3*T2^3 - 
      17188*T1^4*T2^3 - 53376*T1^5*T2^3 + 17709*T1^6*T2^3 + 828*T1^7*T2^3 - 
      1720*T2^4 - 16736*T1*T2^4 + 65574*T1^2*T2^4 - 17188*T1^3*T2^4 - 
      97284*T1^4*T2^4 + 95420*T1^5*T2^4 - 13658*T1^6*T2^4 - 5216*T1^7*T2^4 + 
      328*T1^8*T2^4 + 5436*T1*T2^5 - 3027*T1^2*T2^5 - 53376*T1^3*T2^5 + 
      95420*T1^4*T2^5 - 46744*T1^5*T2^5 - 13776*T1^6*T2^5 + 12237*T1^7*T2^5 - 
      1476*T1^8*T2^5 - 4758*T1^2*T2^6 + 17709*T1^3*T2^6 - 13658*T1^4*T2^6 - 
      13776*T1^5*T2^6 + 27702*T1^6*T2^6 - 13971*T1^7*T2^6 + 2282*T1^8*T2^6 + 
      828*T1^3*T2^7 - 5216*T1^4*T2^7 + 12237*T1^5*T2^7 - 13971*T1^6*T2^7 + 
      7456*T1^7*T2^7 - 1476*T1^8*T2^7 + 328*T1^4*T2^8 - 1476*T1^5*T2^8 + 
      2282*T1^6*T2^8 - 1476*T1^7*T2^8 + 328*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 77] -> 
  {((1 - 3*T + 6*T^2 - 4*T^3 + T^4)*(1 - 4*T + 6*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 196*T1^3 - 252*T1^4 + 196*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 868*T1^3*T2 + 
     735*T1^4*T2 - 49*T1^5*T2 - 357*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1324*T1^2*T2^2 + 1520*T1^3*T2^2 - 
     17*T1^4*T2^2 - 2178*T1^5*T2^2 + 1855*T1^6*T2^2 - 496*T1^7*T2^2 - 
     220*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 196*T2^3 - 868*T1*T2^3 + 
     1520*T1^2*T2^3 + 145*T1^3*T2^3 - 4552*T1^4*T2^3 + 6819*T1^5*T2^3 - 
     1266*T1^6*T2^3 - 2578*T1^7*T2^3 + 2287*T1^8*T2^3 - 664*T1^9*T2^3 - 
     7*T1^10*T2^3 + 49*T1^11*T2^3 - 252*T2^4 + 735*T1*T2^4 - 17*T1^2*T2^4 - 
     4552*T1^3*T2^4 + 9264*T1^4*T2^4 - 4425*T1^5*T2^4 - 11114*T1^6*T2^4 + 
     11745*T1^7*T2^4 - 3924*T1^8*T2^4 - 1122*T1^9*T2^4 + 1229*T1^10*T2^4 - 
     343*T1^11*T2^4 + 196*T2^5 - 49*T1*T2^5 - 2178*T1^2*T2^5 + 
     6819*T1^3*T2^5 - 4425*T1^4*T2^5 - 12918*T1^5*T2^5 + 30558*T1^6*T2^5 - 
     12170*T1^7*T2^5 - 7430*T1^8*T2^5 + 9834*T1^9*T2^5 - 3520*T1^10*T2^5 + 
     27*T1^11*T2^5 + 343*T1^12*T2^5 - 49*T1^13*T2^5 - 96*T2^6 - 357*T1*T2^6 + 
     1855*T1^2*T2^6 - 1266*T1^3*T2^6 - 11114*T1^4*T2^6 + 30558*T1^5*T2^6 - 
     27540*T1^6*T2^6 - 18488*T1^7*T2^6 + 36084*T1^8*T2^6 - 18442*T1^9*T2^6 + 
     282*T1^10*T2^6 + 3438*T1^11*T2^6 - 1269*T1^12*T2^6 + 7*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 496*T1^2*T2^7 - 2578*T1^3*T2^7 + 
     11745*T1^4*T2^7 - 12170*T1^5*T2^7 - 18488*T1^6*T2^7 + 64938*T1^7*T2^7 - 
     48910*T1^8*T2^7 + 727*T1^9*T2^7 + 18014*T1^10*T2^7 - 10158*T1^11*T2^7 + 
     1272*T1^12*T2^7 + 680*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 220*T1^2*T2^8 + 2287*T1^3*T2^8 - 3924*T1^4*T2^8 - 
     7430*T1^5*T2^8 + 36084*T1^6*T2^8 - 48910*T1^7*T2^8 + 504*T1^8*T2^8 + 
     48306*T1^9*T2^8 - 36966*T1^10*T2^8 + 8250*T1^11*T2^8 + 3856*T1^12*T2^8 - 
     2375*T1^13*T2^8 + 218*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 664*T1^3*T2^9 - 1122*T1^4*T2^9 + 
     9834*T1^5*T2^9 - 18442*T1^6*T2^9 + 727*T1^7*T2^9 + 48306*T1^8*T2^9 - 
     65542*T1^9*T2^9 + 19942*T1^10*T2^9 + 11742*T1^11*T2^9 - 
     12069*T1^12*T2^9 + 2728*T1^13*T2^9 + 512*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 - 7*T1^3*T2^10 + 1229*T1^4*T2^10 - 
     3520*T1^5*T2^10 + 282*T1^6*T2^10 + 18014*T1^7*T2^10 - 36966*T1^8*T2^10 + 
     19942*T1^9*T2^10 + 26658*T1^10*T2^10 - 30986*T1^11*T2^10 + 
     11678*T1^12*T2^10 + 1184*T1^13*T2^10 - 1895*T1^14*T2^10 + 
     357*T1^15*T2^10 + 96*T1^16*T2^10 + 49*T1^3*T2^11 - 343*T1^4*T2^11 + 
     27*T1^5*T2^11 + 3438*T1^6*T2^11 - 10158*T1^7*T2^11 + 8250*T1^8*T2^11 + 
     11742*T1^9*T2^11 - 30986*T1^10*T2^11 + 13738*T1^11*T2^11 + 
     4101*T1^12*T2^11 - 6901*T1^13*T2^11 + 2232*T1^14*T2^11 + 
     49*T1^15*T2^11 - 196*T1^16*T2^11 + 343*T1^5*T2^12 - 1269*T1^6*T2^12 + 
     1272*T1^7*T2^12 + 3856*T1^8*T2^12 - 12069*T1^9*T2^12 + 
     11678*T1^10*T2^12 + 4101*T1^11*T2^12 - 9332*T1^12*T2^12 + 
     4702*T1^13*T2^12 - 23*T1^14*T2^12 - 735*T1^15*T2^12 + 252*T1^16*T2^12 - 
     49*T1^5*T2^13 + 7*T1^6*T2^13 + 680*T1^7*T2^13 - 2375*T1^8*T2^13 + 
     2728*T1^9*T2^13 + 1184*T1^10*T2^13 - 6901*T1^11*T2^13 + 
     4702*T1^12*T2^13 - 233*T1^13*T2^13 - 1504*T1^14*T2^13 + 
     868*T1^15*T2^13 - 196*T1^16*T2^13 + 48*T1^6*T2^14 - 189*T1^7*T2^14 + 
     218*T1^8*T2^14 + 512*T1^9*T2^14 - 1895*T1^10*T2^14 + 2232*T1^11*T2^14 - 
     23*T1^12*T2^14 - 1504*T1^13*T2^14 + 1322*T1^14*T2^14 - 525*T1^15*T2^14 + 
     96*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 
     357*T1^10*T2^15 + 49*T1^11*T2^15 - 735*T1^12*T2^15 + 868*T1^13*T2^15 - 
     525*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 96*T1^10*T2^16 - 196*T1^11*T2^16 + 252*T1^12*T2^16 - 
     196*T1^13*T2^16 + 96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 78] -> 
  {(2 - 8*T + 19*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 19*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 146*T1^2 + 225*T1^3 - 257*T1^4 + 225*T1^5 - 
     146*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 471*T1^2*T2 - 
     621*T1^3*T2 + 592*T1^4*T2 - 400*T1^5*T2 + 147*T1^6*T2 + 39*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 146*T2^2 + 471*T1*T2^2 - 926*T1^2*T2^2 + 
     1025*T1^3*T2^2 - 739*T1^4*T2^2 + 202*T1^5*T2^2 + 325*T1^6*T2^2 - 
     571*T1^7*T2^2 + 366*T1^8*T2^2 - 137*T1^9*T2^2 + 6*T1^10*T2^2 + 
     225*T2^3 - 621*T1*T2^3 + 1025*T1^2*T2^3 - 738*T1^3*T2^3 + 95*T1^4*T2^3 + 
     450*T1^5*T2^3 - 622*T1^6*T2^3 + 257*T1^7*T2^3 + 552*T1^8*T2^3 - 
     761*T1^9*T2^3 + 467*T1^10*T2^3 - 123*T1^11*T2^3 - 257*T2^4 + 
     592*T1*T2^4 - 739*T1^2*T2^4 + 95*T1^3*T2^4 + 537*T1^4*T2^4 - 
     494*T1^5*T2^4 + 149*T1^6*T2^4 + 458*T1^7*T2^4 - 1023*T1^8*T2^4 + 
     327*T1^9*T2^4 + 565*T1^10*T2^4 - 592*T1^11*T2^4 + 271*T1^12*T2^4 + 
     225*T2^5 - 400*T1*T2^5 + 202*T1^2*T2^5 + 450*T1^3*T2^5 - 494*T1^4*T2^5 - 
     791*T1^5*T2^5 + 1661*T1^6*T2^5 - 2315*T1^7*T2^5 + 2175*T1^8*T2^5 - 
     389*T1^9*T2^5 - 678*T1^10*T2^5 - 74*T1^11*T2^5 + 336*T1^12*T2^5 - 
     355*T1^13*T2^5 - 146*T2^6 + 147*T1*T2^6 + 325*T1^2*T2^6 - 
     622*T1^3*T2^6 + 149*T1^4*T2^6 + 1661*T1^5*T2^6 - 1450*T1^6*T2^6 + 
     982*T1^7*T2^6 + 494*T1^8*T2^6 - 2517*T1^9*T2^6 + 2079*T1^10*T2^6 + 
     366*T1^11*T2^6 - 259*T1^12*T2^6 + 179*T1^13*T2^6 + 310*T1^14*T2^6 + 
     61*T2^7 + 39*T1*T2^7 - 571*T1^2*T2^7 + 257*T1^3*T2^7 + 458*T1^4*T2^7 - 
     2315*T1^5*T2^7 + 982*T1^6*T2^7 - 802*T1^7*T2^7 - 192*T1^8*T2^7 + 
     577*T1^9*T2^7 + 1257*T1^10*T2^7 - 3035*T1^11*T2^7 + 375*T1^12*T2^7 + 
     75*T1^13*T2^7 - 585*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 58*T1*T2^8 + 
     366*T1^2*T2^8 + 552*T1^3*T2^8 - 1023*T1^4*T2^8 + 2175*T1^5*T2^8 + 
     494*T1^6*T2^8 - 192*T1^7*T2^8 + 1044*T1^8*T2^8 - 696*T1^9*T2^8 - 
     592*T1^10*T2^8 + 637*T1^11*T2^8 + 2877*T1^12*T2^8 - 1268*T1^13*T2^8 + 
     790*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 29*T1*T2^9 - 
     137*T1^2*T2^9 - 761*T1^3*T2^9 + 327*T1^4*T2^9 - 389*T1^5*T2^9 - 
     2517*T1^6*T2^9 + 577*T1^7*T2^9 - 696*T1^8*T2^9 - 86*T1^9*T2^9 + 
     172*T1^10*T2^9 + 1055*T1^11*T2^9 - 3882*T1^12*T2^9 + 445*T1^13*T2^9 - 
     115*T1^14*T2^9 - 761*T1^15*T2^9 - 195*T1^16*T2^9 + 6*T1^2*T2^10 + 
     467*T1^3*T2^10 + 565*T1^4*T2^10 - 678*T1^5*T2^10 + 2079*T1^6*T2^10 + 
     1257*T1^7*T2^10 - 592*T1^8*T2^10 + 172*T1^9*T2^10 + 1352*T1^10*T2^10 - 
     2921*T1^11*T2^10 + 4009*T1^12*T2^10 + 310*T1^13*T2^10 - 19*T1^14*T2^10 + 
     499*T1^15*T2^10 + 462*T1^16*T2^10 - 123*T1^3*T2^11 - 592*T1^4*T2^11 - 
     74*T1^5*T2^11 + 366*T1^6*T2^11 - 3035*T1^7*T2^11 + 637*T1^8*T2^11 + 
     1055*T1^9*T2^11 - 2921*T1^10*T2^11 + 3603*T1^11*T2^11 - 
     2930*T1^12*T2^11 - 762*T1^13*T2^11 - 350*T1^14*T2^11 + 144*T1^15*T2^11 - 
     703*T1^16*T2^11 + 271*T1^4*T2^12 + 336*T1^5*T2^12 - 259*T1^6*T2^12 + 
     375*T1^7*T2^12 + 2877*T1^8*T2^12 - 3882*T1^9*T2^12 + 4009*T1^10*T2^12 - 
     2930*T1^11*T2^12 + 1317*T1^12*T2^12 + 607*T1^13*T2^12 + 
     1045*T1^14*T2^12 - 848*T1^15*T2^12 + 799*T1^16*T2^12 - 355*T1^5*T2^13 + 
     179*T1^6*T2^13 + 75*T1^7*T2^13 - 1268*T1^8*T2^13 + 445*T1^9*T2^13 + 
     310*T1^10*T2^13 - 762*T1^11*T2^13 + 607*T1^12*T2^13 + 22*T1^13*T2^13 - 
     1711*T1^14*T2^13 + 1267*T1^15*T2^13 - 703*T1^16*T2^13 + 310*T1^6*T2^14 - 
     585*T1^7*T2^14 + 790*T1^8*T2^14 - 115*T1^9*T2^14 - 19*T1^10*T2^14 - 
     350*T1^11*T2^14 + 1045*T1^12*T2^14 - 1711*T1^13*T2^14 + 
     2082*T1^14*T2^14 - 1193*T1^15*T2^14 + 462*T1^16*T2^14 - 163*T1^7*T2^15 + 
     454*T1^8*T2^15 - 761*T1^9*T2^15 + 499*T1^10*T2^15 + 144*T1^11*T2^15 - 
     848*T1^12*T2^15 + 1267*T1^13*T2^15 - 1193*T1^14*T2^15 + 
     614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 
     462*T1^10*T2^16 - 703*T1^11*T2^16 + 799*T1^12*T2^16 - 703*T1^13*T2^16 + 
     462*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 79] -> 
  {(1 - 7*T + 22*T^2 - 43*T^3 + 55*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 172*T1^3 - 220*T1^4 + 172*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 742*T1^3*T2 + 
     637*T1^4*T2 - 49*T1^5*T2 - 287*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 950*T1^2*T2^2 + 856*T1^3*T2^2 + 
     513*T1^4*T2^2 - 2410*T1^5*T2^2 + 1965*T1^6*T2^2 - 728*T1^7*T2^2 - 
     26*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 172*T2^3 - 742*T1*T2^3 + 
     856*T1^2*T2^3 + 643*T1^3*T2^3 - 3890*T1^4*T2^3 + 5707*T1^5*T2^3 - 
     1000*T1^6*T2^3 - 1878*T1^7*T2^3 + 1853*T1^8*T2^3 - 750*T1^9*T2^3 + 
     7*T1^10*T2^3 + 43*T1^11*T2^3 - 220*T2^4 + 637*T1*T2^4 + 513*T1^2*T2^4 - 
     3890*T1^3*T2^4 + 7535*T1^4*T2^4 - 5498*T1^5*T2^4 - 5993*T1^6*T2^4 + 
     6448*T1^7*T2^4 - 2257*T1^8*T2^4 - 708*T1^9*T2^4 + 1139*T1^10*T2^4 - 
     301*T1^11*T2^4 + 172*T2^5 - 49*T1*T2^5 - 2410*T1^2*T2^5 + 
     5707*T1^3*T2^5 - 5498*T1^4*T2^5 - 3676*T1^5*T2^5 + 17674*T1^6*T2^5 - 
     6194*T1^7*T2^5 - 4336*T1^8*T2^5 + 6063*T1^9*T2^5 - 2890*T1^10*T2^5 - 
     T1^11*T2^5 + 301*T1^12*T2^5 - 43*T1^13*T2^5 - 88*T2^6 - 287*T1*T2^6 + 
     1965*T1^2*T2^6 - 1000*T1^3*T2^6 - 5993*T1^4*T2^6 + 17674*T1^5*T2^6 - 
     20155*T1^6*T2^6 - 9753*T1^7*T2^6 + 19133*T1^8*T2^6 - 10106*T1^9*T2^6 + 
     315*T1^10*T2^6 + 2872*T1^11*T2^6 - 1139*T1^12*T2^6 - 7*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 728*T1^2*T2^7 - 1878*T1^3*T2^7 + 
     6448*T1^4*T2^7 - 6194*T1^5*T2^7 - 9753*T1^6*T2^7 + 40884*T1^7*T2^7 - 
     28354*T1^8*T2^7 + 818*T1^9*T2^7 + 9850*T1^10*T2^7 - 6653*T1^11*T2^7 + 
     790*T1^12*T2^7 + 746*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 26*T1^2*T2^8 + 1853*T1^3*T2^8 - 2257*T1^4*T2^8 - 
     4336*T1^5*T2^8 + 19133*T1^6*T2^8 - 28354*T1^7*T2^8 - 3564*T1^8*T2^8 + 
     30102*T1^9*T2^8 - 21917*T1^10*T2^8 + 5900*T1^11*T2^8 + 2247*T1^12*T2^8 - 
     1877*T1^13*T2^8 + 28*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 750*T1^3*T2^9 - 708*T1^4*T2^9 + 
     6063*T1^5*T2^9 - 10106*T1^6*T2^9 + 818*T1^7*T2^9 + 30102*T1^8*T2^9 - 
     39136*T1^9*T2^9 + 11389*T1^10*T2^9 + 5938*T1^11*T2^9 - 7038*T1^12*T2^9 + 
     1960*T1^13*T2^9 + 724*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 7*T1^3*T2^10 + 1139*T1^4*T2^10 - 2890*T1^5*T2^10 + 
     315*T1^6*T2^10 + 9850*T1^7*T2^10 - 21917*T1^8*T2^10 + 11389*T1^9*T2^10 + 
     17371*T1^10*T2^10 - 17930*T1^11*T2^10 + 6623*T1^12*T2^10 + 
     982*T1^13*T2^10 - 1965*T1^14*T2^10 + 287*T1^15*T2^10 + 88*T1^16*T2^10 + 
     43*T1^3*T2^11 - 301*T1^4*T2^11 - T1^5*T2^11 + 2872*T1^6*T2^11 - 
     6653*T1^7*T2^11 + 5900*T1^8*T2^11 + 5938*T1^9*T2^11 - 
     17930*T1^10*T2^11 + 5240*T1^11*T2^11 + 4908*T1^12*T2^11 - 
     5725*T1^13*T2^11 + 2408*T1^14*T2^11 + 49*T1^15*T2^11 - 172*T1^16*T2^11 + 
     301*T1^5*T2^12 - 1139*T1^6*T2^12 + 790*T1^7*T2^12 + 2247*T1^8*T2^12 - 
     7038*T1^9*T2^12 + 6623*T1^10*T2^12 + 4908*T1^11*T2^12 - 
     7545*T1^12*T2^12 + 3972*T1^13*T2^12 - 513*T1^14*T2^12 - 
     637*T1^15*T2^12 + 220*T1^16*T2^12 - 43*T1^5*T2^13 - 7*T1^6*T2^13 + 
     746*T1^7*T2^13 - 1877*T1^8*T2^13 + 1960*T1^9*T2^13 + 982*T1^10*T2^13 - 
     5725*T1^11*T2^13 + 3972*T1^12*T2^13 - 667*T1^13*T2^13 - 
     860*T1^14*T2^13 + 742*T1^15*T2^13 - 172*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 28*T1^8*T2^14 + 724*T1^9*T2^14 - 1965*T1^10*T2^14 + 
     2408*T1^11*T2^14 - 513*T1^12*T2^14 - 860*T1^13*T2^14 + 952*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 287*T1^10*T2^15 + 49*T1^11*T2^15 - 637*T1^12*T2^15 + 
     742*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 172*T1^11*T2^16 + 
     220*T1^12*T2^16 - 172*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 80] -> 
  {(1 - 7*T + 21*T^2 - 36*T^3 + 43*T^4 - 36*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 144*T1^3 - 172*T1^4 + 144*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 567*T1^3*T2 + 
     448*T1^4*T2 - 105*T1^5*T2 - 168*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 777*T1^2*T2^2 + 232*T1^3*T2^2 + 
     789*T1^4*T2^2 - 1771*T1^5*T2^2 + 1713*T1^6*T2^2 - 986*T1^7*T2^2 + 
     63*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 144*T2^3 - 567*T1*T2^3 + 
     232*T1^2*T2^3 + 2043*T1^3*T2^3 - 3707*T1^4*T2^3 + 3918*T1^5*T2^3 - 
     1539*T1^6*T2^3 - 728*T1^7*T2^3 + 1923*T1^8*T2^3 - 860*T1^9*T2^3 + 
     42*T1^10*T2^3 + 36*T1^11*T2^3 - 172*T2^4 + 448*T1*T2^4 + 789*T1^2*T2^4 - 
     3707*T1^3*T2^4 + 2935*T1^4*T2^4 + 21*T1^5*T2^4 - 4963*T1^6*T2^4 + 
     6121*T1^7*T2^4 - 4457*T1^8*T2^4 + 181*T1^9*T2^4 + 873*T1^10*T2^4 - 
     252*T1^11*T2^4 + 144*T2^5 - 105*T1*T2^5 - 1771*T1^2*T2^5 + 
     3918*T1^3*T2^5 + 21*T1^4*T2^5 - 4087*T1^5*T2^5 + 8061*T1^6*T2^5 - 
     5232*T1^7*T2^5 + 515*T1^8*T2^5 + 4524*T1^9*T2^5 - 2517*T1^10*T2^5 + 
     14*T1^11*T2^5 + 252*T1^12*T2^5 - 36*T1^13*T2^5 - 84*T2^6 - 168*T1*T2^6 + 
     1713*T1^2*T2^6 - 1539*T1^3*T2^6 - 4963*T1^4*T2^6 + 8061*T1^5*T2^6 - 
     9104*T1^6*T2^6 + 2192*T1^7*T2^6 + 3916*T1^8*T2^6 - 6513*T1^9*T2^6 + 
     287*T1^10*T2^6 + 2451*T1^11*T2^6 - 891*T1^12*T2^6 - 42*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 986*T1^2*T2^7 - 728*T1^3*T2^7 + 
     6121*T1^4*T2^7 - 5232*T1^5*T2^7 + 2192*T1^6*T2^7 + 5554*T1^7*T2^7 - 
     7650*T1^8*T2^7 + 3194*T1^9*T2^7 + 5499*T1^10*T2^7 - 4770*T1^11*T2^7 - 
     71*T1^12*T2^7 + 862*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 63*T1^2*T2^8 + 1923*T1^3*T2^8 - 4457*T1^4*T2^8 + 
     515*T1^5*T2^8 + 3916*T1^6*T2^8 - 7650*T1^7*T2^8 + 3912*T1^8*T2^8 + 
     4042*T1^9*T2^8 - 7580*T1^10*T2^8 + 1205*T1^11*T2^8 + 4203*T1^12*T2^8 - 
     1947*T1^13*T2^8 - 63*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 860*T1^3*T2^9 + 181*T1^4*T2^9 + 
     4524*T1^5*T2^9 - 6513*T1^6*T2^9 + 3194*T1^7*T2^9 + 4042*T1^8*T2^9 - 
     9162*T1^9*T2^9 + 4196*T1^10*T2^9 + 4218*T1^11*T2^9 - 6367*T1^12*T2^9 + 
     838*T1^13*T2^9 + 988*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 42*T1^3*T2^10 + 873*T1^4*T2^10 - 2517*T1^5*T2^10 + 
     287*T1^6*T2^10 + 5499*T1^7*T2^10 - 7580*T1^8*T2^10 + 4196*T1^9*T2^10 + 
     5440*T1^10*T2^10 - 9075*T1^11*T2^10 + 5537*T1^12*T2^10 + 
     1473*T1^13*T2^10 - 1731*T1^14*T2^10 + 168*T1^15*T2^10 + 84*T1^16*T2^10 + 
     36*T1^3*T2^11 - 252*T1^4*T2^11 + 14*T1^5*T2^11 + 2451*T1^6*T2^11 - 
     4770*T1^7*T2^11 + 1205*T1^8*T2^11 + 4218*T1^9*T2^11 - 9075*T1^10*T2^11 + 
     5807*T1^11*T2^11 - 267*T1^12*T2^11 - 3984*T1^13*T2^11 + 
     1799*T1^14*T2^11 + 105*T1^15*T2^11 - 144*T1^16*T2^11 + 252*T1^5*T2^12 - 
     891*T1^6*T2^12 - 71*T1^7*T2^12 + 4203*T1^8*T2^12 - 6367*T1^9*T2^12 + 
     5537*T1^10*T2^12 - 267*T1^11*T2^12 - 3189*T1^12*T2^12 + 
     3817*T1^13*T2^12 - 807*T1^14*T2^12 - 448*T1^15*T2^12 + 172*T1^16*T2^12 - 
     36*T1^5*T2^13 - 42*T1^6*T2^13 + 862*T1^7*T2^13 - 1947*T1^8*T2^13 + 
     838*T1^9*T2^13 + 1473*T1^10*T2^13 - 3984*T1^11*T2^13 + 
     3817*T1^12*T2^13 - 2067*T1^13*T2^13 - 230*T1^14*T2^13 + 
     567*T1^15*T2^13 - 144*T1^16*T2^13 + 42*T1^6*T2^14 - 147*T1^7*T2^14 - 
     63*T1^8*T2^14 + 988*T1^9*T2^14 - 1731*T1^10*T2^14 + 1799*T1^11*T2^14 - 
     807*T1^12*T2^14 - 230*T1^13*T2^14 + 777*T1^14*T2^14 - 441*T1^15*T2^14 + 
     84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 245*T1^9*T2^15 + 
     168*T1^10*T2^15 + 105*T1^11*T2^15 - 448*T1^12*T2^15 + 567*T1^13*T2^15 - 
     441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 84*T1^10*T2^16 - 144*T1^11*T2^16 + 172*T1^12*T2^16 - 
     144*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 81] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-31 + 217*T1 - 588*T1^2 + 789*T1^3 - 588*T1^4 + 217*T1^5 - 31*T1^6 + 
     217*T2 - 1358*T1*T2 + 2989*T1^2*T2 - 2471*T1^3*T2 + 21*T1^4*T2 + 
     1533*T1^5*T2 - 910*T1^6*T2 + 161*T1^7*T2 - 588*T2^2 + 2989*T1*T2^2 - 
     3553*T1^2*T2^2 - 4387*T1^3*T2^2 + 12103*T1^4*T2^2 - 10011*T1^5*T2^2 + 
     1919*T1^6*T2^2 + 861*T1^7*T2^2 - 284*T1^8*T2^2 + 789*T2^3 - 
     2471*T1*T2^3 - 4387*T1^2*T2^3 + 23952*T1^3*T2^3 - 26230*T1^4*T2^3 + 
     5206*T1^5*T2^3 + 12506*T1^6*T2^3 - 7503*T1^7*T2^3 + 749*T1^8*T2^3 + 
     177*T1^9*T2^3 - 588*T2^4 + 21*T1*T2^4 + 12103*T1^2*T2^4 - 
     26230*T1^3*T2^4 + 137*T1^4*T2^4 + 39325*T1^5*T2^4 - 41755*T1^6*T2^4 + 
     9674*T1^7*T2^4 + 3663*T1^8*T2^4 - 1379*T1^9*T2^4 + 20*T1^10*T2^4 + 
     217*T2^5 + 1533*T1*T2^5 - 10011*T1^2*T2^5 + 5206*T1^3*T2^5 + 
     39325*T1^4*T2^5 - 63150*T1^5*T2^5 + 28580*T1^6*T2^5 + 17817*T1^7*T2^5 - 
     17294*T1^8*T2^5 + 3137*T1^9*T2^5 + 301*T1^10*T2^5 - 63*T1^11*T2^5 - 
     31*T2^6 - 910*T1*T2^6 + 1919*T1^2*T2^6 + 12506*T1^3*T2^6 - 
     41755*T1^4*T2^6 + 28580*T1^5*T2^6 + 24756*T1^6*T2^6 - 50388*T1^7*T2^6 + 
     23141*T1^8*T2^6 + 642*T1^9*T2^6 - 2369*T1^10*T2^6 + 322*T1^11*T2^6 + 
     17*T1^12*T2^6 + 161*T1*T2^7 + 861*T1^2*T2^7 - 7503*T1^3*T2^7 + 
     9674*T1^4*T2^7 + 17817*T1^5*T2^7 - 50388*T1^6*T2^7 + 41342*T1^7*T2^7 - 
     3691*T1^8*T2^7 - 12826*T1^9*T2^7 + 5645*T1^10*T2^7 - 371*T1^11*T2^7 - 
     119*T1^12*T2^7 - 284*T1^2*T2^8 + 749*T1^3*T2^8 + 3663*T1^4*T2^8 - 
     17294*T1^5*T2^8 + 23141*T1^6*T2^8 - 3691*T1^7*T2^8 - 18751*T1^8*T2^8 + 
     18610*T1^9*T2^8 - 4777*T1^10*T2^8 - 651*T1^11*T2^8 + 324*T1^12*T2^8 + 
     177*T1^3*T2^9 - 1379*T1^4*T2^9 + 3137*T1^5*T2^9 + 642*T1^6*T2^9 - 
     12826*T1^7*T2^9 + 18610*T1^8*T2^9 - 10804*T1^9*T2^9 + 21*T1^10*T2^9 + 
     1841*T1^11*T2^9 - 435*T1^12*T2^9 + 20*T1^4*T2^10 + 301*T1^5*T2^10 - 
     2369*T1^6*T2^10 + 5645*T1^7*T2^10 - 4777*T1^8*T2^10 + 21*T1^9*T2^10 + 
     3103*T1^10*T2^10 - 1827*T1^11*T2^10 + 324*T1^12*T2^10 - 63*T1^5*T2^11 + 
     322*T1^6*T2^11 - 371*T1^7*T2^11 - 651*T1^8*T2^11 + 1841*T1^9*T2^11 - 
     1827*T1^10*T2^11 + 770*T1^11*T2^11 - 119*T1^12*T2^11 + 17*T1^6*T2^12 - 
     119*T1^7*T2^12 + 324*T1^8*T2^12 - 435*T1^9*T2^12 + 324*T1^10*T2^12 - 
     119*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 82] -> 
  {(6 - 22*T + 42*T^2 - 51*T^3 + 42*T^4 - 22*T^5 + 6*T^6)/T^3, 
   -((1347 - 4880*T1 + 9260*T1^2 - 11217*T1^3 + 9260*T1^4 - 4880*T1^5 + 
      1347*T1^6 - 4880*T2 + 13648*T1*T2 - 18880*T1^2*T2 + 12696*T1^3*T2 + 
      420*T1^4*T2 - 10432*T1^5*T2 + 9952*T1^6*T2 - 4088*T1^7*T2 + 9260*T2^2 - 
      18880*T1*T2^2 + 16159*T1^2*T2^2 + 2937*T1^3*T2^2 - 18287*T1^4*T2^2 + 
      17553*T1^5*T2^2 - 1985*T1^6*T2^2 - 7792*T1^7*T2^2 + 6236*T1^8*T2^2 - 
      11217*T2^3 + 12696*T1*T2^3 + 2937*T1^2*T2^3 - 25696*T1^3*T2^3 + 
      24003*T1^4*T2^3 - 3177*T1^5*T2^3 - 18886*T1^6*T2^3 + 15621*T1^7*T2^3 - 
      1956*T1^8*T2^3 - 5709*T1^9*T2^3 + 9260*T2^4 + 420*T1*T2^4 - 
      18287*T1^2*T2^4 + 24003*T1^3*T2^4 + 3721*T1^4*T2^4 - 29193*T1^5*T2^4 + 
      32509*T1^6*T2^4 - 5373*T1^7*T2^4 - 11255*T1^8*T2^4 + 9132*T1^9*T2^4 + 
      3212*T1^10*T2^4 - 4880*T2^5 - 10432*T1*T2^5 + 17553*T1^2*T2^5 - 
      3177*T1^3*T2^5 - 29193*T1^4*T2^5 + 31590*T1^5*T2^5 - 8688*T1^6*T2^5 - 
      22389*T1^7*T2^5 + 19611*T1^8*T2^5 - 2859*T1^9*T2^5 - 8320*T1^10*T2^5 - 
      920*T1^11*T2^5 + 1347*T2^6 + 9952*T1*T2^6 - 1985*T1^2*T2^6 - 
      18886*T1^3*T2^6 + 32509*T1^4*T2^6 - 8688*T1^5*T2^6 - 19008*T1^6*T2^6 + 
      28680*T1^7*T2^6 - 4835*T1^8*T2^6 - 11566*T1^9*T2^6 + 10367*T1^10*T2^6 + 
      3088*T1^11*T2^6 + 51*T1^12*T2^6 - 4088*T1*T2^7 - 7792*T1^2*T2^7 + 
      15621*T1^3*T2^7 - 5373*T1^4*T2^7 - 22389*T1^5*T2^7 + 28680*T1^6*T2^7 - 
      11598*T1^7*T2^7 - 15585*T1^8*T2^7 + 17415*T1^9*T2^7 - 4791*T1^10*T2^7 - 
      5680*T1^11*T2^7 - 128*T1^12*T2^7 + 6236*T1^2*T2^8 - 1956*T1^3*T2^8 - 
      11255*T1^4*T2^8 + 19611*T1^5*T2^8 - 4835*T1^6*T2^8 - 15585*T1^7*T2^8 + 
      23953*T1^8*T2^8 - 9765*T1^9*T2^8 - 4223*T1^10*T2^8 + 6756*T1^11*T2^8 + 
      188*T1^12*T2^8 - 5709*T1^3*T2^9 + 9132*T1^4*T2^9 - 2859*T1^5*T2^9 - 
      11566*T1^6*T2^9 + 17415*T1^7*T2^9 - 9765*T1^8*T2^9 - 4756*T1^9*T2^9 + 
      9825*T1^10*T2^9 - 5520*T1^11*T2^9 - 201*T1^12*T2^9 + 3212*T1^4*T2^10 - 
      8320*T1^5*T2^10 + 10367*T1^6*T2^10 - 4791*T1^7*T2^10 - 
      4223*T1^8*T2^10 + 9825*T1^9*T2^10 - 7777*T1^10*T2^10 + 
      2768*T1^11*T2^10 + 188*T1^12*T2^10 - 920*T1^5*T2^11 + 3088*T1^6*T2^11 - 
      5680*T1^7*T2^11 + 6756*T1^8*T2^11 - 5520*T1^9*T2^11 + 
      2768*T1^10*T2^11 - 608*T1^11*T2^11 - 128*T1^12*T2^11 + 51*T1^6*T2^12 - 
      128*T1^7*T2^12 + 188*T1^8*T2^12 - 201*T1^9*T2^12 + 188*T1^10*T2^12 - 
      128*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 83] -> 
  {-((3 - 20*T + 48*T^2 - 63*T^3 + 48*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((-138 + 916*T1 - 2188*T1^2 + 2868*T1^3 - 2188*T1^4 + 916*T1^5 - 
      138*T1^6 + 916*T2 - 5348*T1*T2 + 9659*T1^2*T2 - 7404*T1^3*T2 - 
      744*T1^4*T2 + 5579*T1^5*T2 - 3968*T1^6*T2 + 736*T1^7*T2 - 2188*T2^2 + 
      9659*T1*T2^2 - 3824*T1^2*T2^2 - 22701*T1^3*T2^2 + 45314*T1^4*T2^2 - 
      35085*T1^5*T2^2 + 9136*T1^6*T2^2 + 3899*T1^7*T2^2 - 1324*T1^8*T2^2 + 
      2868*T2^3 - 7404*T1*T2^3 - 22701*T1^2*T2^3 + 67793*T1^3*T2^3 - 
      65574*T1^4*T2^3 + 2430*T1^5*T2^3 + 39935*T1^6*T2^3 - 27837*T1^7*T2^3 + 
      1056*T1^8*T2^3 + 1167*T1^9*T2^3 - 2188*T2^4 - 744*T1*T2^4 + 
      45314*T1^2*T2^4 - 65574*T1^3*T2^4 + 1324*T1^4*T2^4 + 89448*T1^5*T2^4 - 
      81116*T1^6*T2^4 + 11538*T1^7*T2^4 + 22562*T1^8*T2^4 - 4704*T1^9*T2^4 - 
      460*T1^10*T2^4 + 916*T2^5 + 5579*T1*T2^5 - 35085*T1^2*T2^5 + 
      2430*T1^3*T2^5 + 89448*T1^4*T2^5 - 122004*T1^5*T2^5 + 24720*T1^6*T2^5 + 
      59496*T1^7*T2^5 - 47358*T1^8*T2^5 - 957*T1^9*T2^5 + 2939*T1^10*T2^5 + 
      16*T1^11*T2^5 - 138*T2^6 - 3968*T1*T2^6 + 9136*T1^2*T2^6 + 
      39935*T1^3*T2^6 - 81116*T1^4*T2^6 + 24720*T1^5*T2^6 + 89580*T1^6*T2^6 - 
      102504*T1^7*T2^6 + 28036*T1^8*T2^6 + 21173*T1^9*T2^6 - 
      6448*T1^10*T2^6 - 248*T1^11*T2^6 + 24*T1^12*T2^6 + 736*T1*T2^7 + 
      3899*T1^2*T2^7 - 27837*T1^3*T2^7 + 11538*T1^4*T2^7 + 59496*T1^5*T2^7 - 
      102504*T1^6*T2^7 + 44220*T1^7*T2^7 + 29544*T1^8*T2^7 - 
      38250*T1^9*T2^7 + 6291*T1^10*T2^7 + 1259*T1^11*T2^7 - 164*T1^12*T2^7 - 
      1324*T1^2*T2^8 + 1056*T1^3*T2^8 + 22562*T1^4*T2^8 - 47358*T1^5*T2^8 + 
      28036*T1^6*T2^8 + 29544*T1^7*T2^8 - 54404*T1^8*T2^8 + 29754*T1^9*T2^8 - 
      190*T1^10*T2^8 - 2904*T1^11*T2^8 + 404*T1^12*T2^8 + 1167*T1^3*T2^9 - 
      4704*T1^4*T2^9 - 957*T1^5*T2^9 + 21173*T1^6*T2^9 - 38250*T1^7*T2^9 + 
      29754*T1^8*T2^9 - 6685*T1^9*T2^9 - 6093*T1^10*T2^9 + 3756*T1^11*T2^9 - 
      534*T1^12*T2^9 - 460*T1^4*T2^10 + 2939*T1^5*T2^10 - 6448*T1^6*T2^10 + 
      6291*T1^7*T2^10 - 190*T1^8*T2^10 - 6093*T1^9*T2^10 + 6512*T1^10*T2^10 - 
      2821*T1^11*T2^10 + 404*T1^12*T2^10 + 16*T1^5*T2^11 - 248*T1^6*T2^11 + 
      1259*T1^7*T2^11 - 2904*T1^8*T2^11 + 3756*T1^9*T2^11 - 
      2821*T1^10*T2^11 + 1132*T1^11*T2^11 - 164*T1^12*T2^11 + 24*T1^6*T2^12 - 
      164*T1^7*T2^12 + 404*T1^8*T2^12 - 534*T1^9*T2^12 + 404*T1^10*T2^12 - 
      164*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 84] -> 
  {-((1 - 7*T + 22*T^2 - 43*T^3 + 53*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 129*T1^3 - 159*T1^4 + 129*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      595*T1^3*T2 + 511*T1^4*T2 - 161*T1^5*T2 - 140*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 783*T1^2*T2^2 + 
      818*T1^3*T2^2 + 272*T1^4*T2^2 - 1459*T1^5*T2^2 + 1636*T1^6*T2^2 - 
      766*T1^7*T2^2 + 141*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      129*T2^3 - 595*T1*T2^3 + 818*T1^2*T2^3 + 191*T1^3*T2^3 - 
      3088*T1^4*T2^3 + 4178*T1^5*T2^3 - 2221*T1^6*T2^3 - 818*T1^7*T2^3 + 
      1401*T1^8*T2^3 - 788*T1^9*T2^3 + 154*T1^10*T2^3 - 159*T2^4 + 
      511*T1*T2^4 + 272*T1^2*T2^4 - 3088*T1^3*T2^4 + 7033*T1^4*T2^4 - 
      4750*T1^5*T2^4 - 1903*T1^6*T2^4 + 6280*T1^7*T2^4 - 3615*T1^8*T2^4 + 
      438*T1^9*T2^4 + 722*T1^10*T2^4 - 371*T1^11*T2^4 + 53*T1^12*T2^4 + 
      129*T2^5 - 161*T1*T2^5 - 1459*T1^2*T2^5 + 4178*T1^3*T2^5 - 
      4750*T1^4*T2^5 - 4500*T1^5*T2^5 + 13415*T1^6*T2^5 - 11291*T1^7*T2^5 - 
      330*T1^8*T2^5 + 5393*T1^9*T2^5 - 3495*T1^10*T2^5 + 656*T1^11*T2^5 + 
      231*T1^12*T2^5 - 86*T1^13*T2^5 - 66*T2^6 - 140*T1*T2^6 + 
      1636*T1^2*T2^6 - 2221*T1^3*T2^6 - 1903*T1^4*T2^6 + 13415*T1^5*T2^6 - 
      14890*T1^6*T2^6 - 744*T1^7*T2^6 + 16830*T1^8*T2^6 - 13605*T1^9*T2^6 + 
      2293*T1^10*T2^6 + 2267*T1^11*T2^6 - 1556*T1^12*T2^6 + 140*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 766*T1^2*T2^7 - 818*T1^3*T2^7 + 
      6280*T1^4*T2^7 - 11291*T1^5*T2^7 - 744*T1^6*T2^7 + 25390*T1^7*T2^7 - 
      30862*T1^8*T2^7 + 9913*T1^9*T2^7 + 8787*T1^10*T2^7 - 7411*T1^11*T2^7 + 
      1936*T1^12*T2^7 + 708*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 141*T1^2*T2^8 + 1401*T1^3*T2^8 - 3615*T1^4*T2^8 - 
      330*T1^5*T2^8 + 16830*T1^6*T2^8 - 30862*T1^7*T2^8 + 11364*T1^8*T2^8 + 
      20198*T1^9*T2^8 - 28092*T1^10*T2^8 + 9318*T1^11*T2^8 + 873*T1^12*T2^8 - 
      2329*T1^13*T2^8 + 195*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 56*T1^2*T2^9 - 788*T1^3*T2^9 + 438*T1^4*T2^9 + 
      5393*T1^5*T2^9 - 13605*T1^6*T2^9 + 9913*T1^7*T2^9 + 20198*T1^8*T2^9 - 
      36054*T1^9*T2^9 + 20570*T1^10*T2^9 + 6473*T1^11*T2^9 - 
      8298*T1^12*T2^9 + 3192*T1^13*T2^9 + 686*T1^14*T2^9 - 371*T1^15*T2^9 - 
      35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 722*T1^4*T2^10 - 
      3495*T1^5*T2^10 + 2293*T1^6*T2^10 + 8787*T1^7*T2^10 - 
      28092*T1^8*T2^10 + 20570*T1^9*T2^10 + 3628*T1^10*T2^10 - 
      18233*T1^11*T2^10 + 6489*T1^12*T2^10 + 993*T1^13*T2^10 - 
      2470*T1^14*T2^10 + 434*T1^15*T2^10 + 110*T1^16*T2^10 - 371*T1^4*T2^11 + 
      656*T1^5*T2^11 + 2267*T1^6*T2^11 - 7411*T1^7*T2^11 + 9318*T1^8*T2^11 + 
      6473*T1^9*T2^11 - 18233*T1^10*T2^11 + 13488*T1^11*T2^11 + 
      2732*T1^12*T2^11 - 5406*T1^13*T2^11 + 2771*T1^14*T2^11 + 
      21*T1^15*T2^11 - 215*T1^16*T2^11 + 53*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1556*T1^6*T2^12 + 1936*T1^7*T2^12 + 873*T1^8*T2^12 - 8298*T1^9*T2^12 + 
      6489*T1^10*T2^12 + 2732*T1^11*T2^12 - 9775*T1^12*T2^12 + 
      5462*T1^13*T2^12 - 1106*T1^14*T2^12 - 651*T1^15*T2^12 + 
      265*T1^16*T2^12 - 86*T1^5*T2^13 + 140*T1^6*T2^13 + 708*T1^7*T2^13 - 
      2329*T1^8*T2^13 + 3192*T1^9*T2^13 + 993*T1^10*T2^13 - 
      5406*T1^11*T2^13 + 5462*T1^12*T2^13 - 1119*T1^13*T2^13 - 
      898*T1^14*T2^13 + 889*T1^15*T2^13 - 215*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 195*T1^8*T2^14 + 686*T1^9*T2^14 - 2470*T1^10*T2^14 + 
      2771*T1^11*T2^14 - 1106*T1^12*T2^14 - 898*T1^13*T2^14 + 
      1119*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 434*T1^10*T2^15 + 21*T1^11*T2^15 - 
      651*T1^12*T2^15 + 889*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      215*T1^11*T2^16 + 265*T1^12*T2^16 - 215*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 85] -> 
  {(2 - 8*T + 19*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 19*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 146*T1^2 + 217*T1^3 - 241*T1^4 + 217*T1^5 - 
     146*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 471*T1^2*T2 - 
     589*T1^3*T2 + 544*T1^4*T2 - 400*T1^5*T2 + 163*T1^6*T2 + 39*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 146*T2^2 + 471*T1*T2^2 - 926*T1^2*T2^2 + 
     944*T1^3*T2^2 - 633*T1^4*T2^2 + 228*T1^5*T2^2 + 279*T1^6*T2^2 - 
     576*T1^7*T2^2 + 366*T1^8*T2^2 - 137*T1^9*T2^2 + 6*T1^10*T2^2 + 
     217*T2^3 - 589*T1*T2^3 + 944*T1^2*T2^3 - 482*T1^3*T2^3 - 169*T1^4*T2^3 + 
     435*T1^5*T2^3 - 637*T1^6*T2^3 + 423*T1^7*T2^3 + 454*T1^8*T2^3 - 
     728*T1^9*T2^3 + 451*T1^10*T2^3 - 119*T1^11*T2^3 - 241*T2^4 + 
     544*T1*T2^4 - 633*T1^2*T2^4 - 169*T1^3*T2^4 + 699*T1^4*T2^4 - 
     251*T1^5*T2^4 + 163*T1^6*T2^4 + 165*T1^7*T2^4 - 1069*T1^8*T2^4 + 
     503*T1^9*T2^4 + 495*T1^10*T2^4 - 544*T1^11*T2^4 + 255*T1^12*T2^4 + 
     217*T2^5 - 400*T1*T2^5 + 228*T1^2*T2^5 + 435*T1^3*T2^5 - 251*T1^4*T2^5 - 
     1474*T1^5*T2^5 + 1762*T1^6*T2^5 - 2218*T1^7*T2^5 + 2914*T1^8*T2^5 - 
     975*T1^9*T2^5 - 541*T1^10*T2^5 - 204*T1^11*T2^5 + 352*T1^12*T2^5 - 
     343*T1^13*T2^5 - 146*T2^6 + 163*T1*T2^6 + 279*T1^2*T2^6 - 
     637*T1^3*T2^6 + 163*T1^4*T2^6 + 1762*T1^5*T2^6 - 675*T1^6*T2^6 + 
     607*T1^7*T2^6 - 583*T1^8*T2^6 - 2198*T1^9*T2^6 + 2169*T1^10*T2^6 + 
     579*T1^11*T2^6 - 201*T1^12*T2^6 + 131*T1^13*T2^6 + 310*T1^14*T2^6 + 
     61*T2^7 + 39*T1*T2^7 - 576*T1^2*T2^7 + 423*T1^3*T2^7 + 165*T1^4*T2^7 - 
     2218*T1^5*T2^7 + 607*T1^6*T2^7 - 1978*T1^7*T2^7 + 2422*T1^8*T2^7 - 
     169*T1^9*T2^7 + 1802*T1^10*T2^7 - 3671*T1^11*T2^7 + 151*T1^12*T2^7 + 
     184*T1^13*T2^7 - 585*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 366*T1^2*T2^8 + 454*T1^3*T2^8 - 1069*T1^4*T2^8 + 
     2914*T1^5*T2^8 - 583*T1^6*T2^8 + 2422*T1^7*T2^8 - 1404*T1^8*T2^8 - 
     1370*T1^9*T2^8 - 211*T1^10*T2^8 + 146*T1^11*T2^8 + 4063*T1^12*T2^8 - 
     1562*T1^13*T2^8 + 790*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 137*T1^2*T2^9 - 728*T1^3*T2^9 + 503*T1^4*T2^9 - 
     975*T1^5*T2^9 - 2198*T1^6*T2^9 - 169*T1^7*T2^9 - 1370*T1^8*T2^9 + 
     3030*T1^9*T2^9 - 945*T1^10*T2^9 + 1822*T1^11*T2^9 - 4811*T1^12*T2^9 + 
     231*T1^13*T2^9 + 32*T1^14*T2^9 - 761*T1^15*T2^9 - 195*T1^16*T2^9 + 
     6*T1^2*T2^10 + 451*T1^3*T2^10 + 495*T1^4*T2^10 - 541*T1^5*T2^10 + 
     2169*T1^6*T2^10 + 1802*T1^7*T2^10 - 211*T1^8*T2^10 - 945*T1^9*T2^10 - 
     119*T1^10*T2^10 - 2158*T1^11*T2^10 + 4175*T1^12*T2^10 + 
     675*T1^13*T2^10 + 15*T1^14*T2^10 + 419*T1^15*T2^10 + 462*T1^16*T2^10 - 
     119*T1^3*T2^11 - 544*T1^4*T2^11 - 204*T1^5*T2^11 + 579*T1^6*T2^11 - 
     3671*T1^7*T2^11 + 146*T1^8*T2^11 + 1822*T1^9*T2^11 - 2158*T1^10*T2^11 + 
     4534*T1^11*T2^11 - 4395*T1^12*T2^11 - 397*T1^13*T2^11 - 
     636*T1^14*T2^11 + 208*T1^15*T2^11 - 679*T1^16*T2^11 + 255*T1^4*T2^12 + 
     352*T1^5*T2^12 - 201*T1^6*T2^12 + 151*T1^7*T2^12 + 4063*T1^8*T2^12 - 
     4811*T1^9*T2^12 + 4175*T1^10*T2^12 - 4395*T1^11*T2^12 + 
     2295*T1^12*T2^12 + 823*T1^13*T2^12 + 927*T1^14*T2^12 - 736*T1^15*T2^12 + 
     751*T1^16*T2^12 - 343*T1^5*T2^13 + 131*T1^6*T2^13 + 184*T1^7*T2^13 - 
     1562*T1^8*T2^13 + 231*T1^9*T2^13 + 675*T1^10*T2^13 - 397*T1^11*T2^13 + 
     823*T1^12*T2^13 - 626*T1^13*T2^13 - 1488*T1^14*T2^13 + 
     1171*T1^15*T2^13 - 679*T1^16*T2^13 + 310*T1^6*T2^14 - 585*T1^7*T2^14 + 
     790*T1^8*T2^14 + 32*T1^9*T2^14 + 15*T1^10*T2^14 - 636*T1^11*T2^14 + 
     927*T1^12*T2^14 - 1488*T1^13*T2^14 + 2082*T1^14*T2^14 - 
     1193*T1^15*T2^14 + 462*T1^16*T2^14 - 163*T1^7*T2^15 + 454*T1^8*T2^15 - 
     761*T1^9*T2^15 + 419*T1^10*T2^15 + 208*T1^11*T2^15 - 736*T1^12*T2^15 + 
     1171*T1^13*T2^15 - 1193*T1^14*T2^15 + 614*T1^15*T2^15 - 
     195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 462*T1^10*T2^16 - 
     679*T1^11*T2^16 + 751*T1^12*T2^16 - 679*T1^13*T2^16 + 462*T1^14*T2^16 - 
     195*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 86] -> 
  {(4 - 17*T + 39*T^2 - 51*T^3 + 39*T^4 - 17*T^5 + 4*T^6)/T^3, 
   (-112 + 484*T1 - 1116*T1^2 + 1464*T1^3 - 1116*T1^4 + 484*T1^5 - 112*T1^6 + 
     484*T2 - 1874*T1*T2 + 3876*T1^2*T2 - 4148*T1^3*T2 + 1972*T1^4*T2 + 
     68*T1^5*T2 - 446*T1^6*T2 + 212*T1^7*T2 - 1116*T2^2 + 3876*T1*T2^2 - 
     6897*T1^2*T2^2 + 4707*T1^3*T2^2 + 2239*T1^4*T2^2 - 5901*T1^5*T2^2 + 
     4023*T1^6*T2^2 - 1428*T1^7*T2^2 + 132*T1^8*T2^2 + 1464*T2^3 - 
     4148*T1*T2^3 + 4707*T1^2*T2^3 + 3383*T1^3*T2^3 - 13915*T1^4*T2^3 + 
     11483*T1^5*T2^3 - 85*T1^6*T2^3 - 5238*T1^7*T2^3 + 3604*T1^8*T2^3 - 
     984*T1^9*T2^3 - 1116*T2^4 + 1972*T1*T2^4 + 2239*T1^2*T2^4 - 
     13915*T1^3*T2^4 + 19774*T1^4*T2^4 - 2262*T1^5*T2^4 - 17342*T1^6*T2^4 + 
     14951*T1^7*T2^4 - 2903*T1^8*T2^4 - 1700*T1^9*T2^4 + 1380*T1^10*T2^4 + 
     484*T2^5 + 68*T1*T2^5 - 5901*T1^2*T2^5 + 11483*T1^3*T2^5 - 
     2262*T1^4*T2^5 - 31038*T1^5*T2^5 + 43728*T1^6*T2^5 - 17511*T1^7*T2^5 - 
     6979*T1^8*T2^5 + 6696*T1^9*T2^5 - 2108*T1^10*T2^5 - 876*T1^11*T2^5 - 
     112*T2^6 - 446*T1*T2^6 + 4023*T1^2*T2^6 - 85*T1^3*T2^6 - 
     17342*T1^4*T2^6 + 43728*T1^5*T2^6 - 26388*T1^6*T2^6 - 20872*T1^7*T2^6 + 
     33916*T1^8*T2^6 - 11611*T1^9*T2^6 + 283*T1^10*T2^6 + 2546*T1^11*T2^6 + 
     272*T1^12*T2^6 + 212*T1*T2^7 - 1428*T1^2*T2^7 - 5238*T1^3*T2^7 + 
     14951*T1^4*T2^7 - 17511*T1^5*T2^7 - 20872*T1^6*T2^7 + 53894*T1^7*T2^7 - 
     32760*T1^8*T2^7 - 3511*T1^9*T2^7 + 7359*T1^10*T2^7 - 3604*T1^11*T2^7 - 
     1148*T1^12*T2^7 + 132*T1^2*T2^8 + 3604*T1^3*T2^8 - 2903*T1^4*T2^8 - 
     6979*T1^5*T2^8 + 33916*T1^6*T2^8 - 32760*T1^7*T2^8 - 3200*T1^8*T2^8 + 
     21887*T1^9*T2^8 - 8045*T1^10*T2^8 - 68*T1^11*T2^8 + 2628*T1^12*T2^8 - 
     984*T1^3*T2^9 - 1700*T1^4*T2^9 + 6696*T1^5*T2^9 - 11611*T1^6*T2^9 - 
     3511*T1^7*T2^9 + 21887*T1^8*T2^9 - 15079*T1^9*T2^9 - 3249*T1^10*T2^9 + 
     6052*T1^11*T2^9 - 3432*T1^12*T2^9 + 1380*T1^4*T2^10 - 2108*T1^5*T2^10 + 
     283*T1^6*T2^10 + 7359*T1^7*T2^10 - 8045*T1^8*T2^10 - 3249*T1^9*T2^10 + 
     11203*T1^10*T2^10 - 7412*T1^11*T2^10 + 2628*T1^12*T2^10 - 
     876*T1^5*T2^11 + 2546*T1^6*T2^11 - 3604*T1^7*T2^11 - 68*T1^8*T2^11 + 
     6052*T1^9*T2^11 - 7412*T1^10*T2^11 + 3974*T1^11*T2^11 - 
     1148*T1^12*T2^11 + 272*T1^6*T2^12 - 1148*T1^7*T2^12 + 2628*T1^8*T2^12 - 
     3432*T1^9*T2^12 + 2628*T1^10*T2^12 - 1148*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 87] -> 
  {-((1 - 7*T + 20*T^2 - 37*T^3 + 45*T^4 - 37*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 60*T1^2 + 111*T1^3 - 135*T1^4 + 111*T1^5 - 
      60*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 
      497*T1^3*T2 + 427*T1^4*T2 - 147*T1^5*T2 - 98*T1^6*T2 + 133*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 
      386*T1^3*T2^2 + 550*T1^4*T2^2 - 1477*T1^5*T2^2 + 1550*T1^6*T2^2 - 
      814*T1^7*T2^2 + 231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 
      111*T2^3 - 497*T1*T2^3 + 386*T1^2*T2^3 + 519*T1^3*T2^3 - 
      2550*T1^4*T2^3 + 3290*T1^5*T2^3 - 1863*T1^6*T2^3 - 342*T1^7*T2^3 + 
      957*T1^8*T2^3 - 714*T1^9*T2^3 + 140*T1^10*T2^3 - 135*T2^4 + 
      427*T1*T2^4 + 550*T1^2*T2^4 - 2550*T1^3*T2^4 + 5236*T1^4*T2^4 - 
      4230*T1^5*T2^4 + 62*T1^6*T2^4 + 3320*T1^7*T2^4 - 2384*T1^8*T2^4 + 
      632*T1^9*T2^4 + 524*T1^10*T2^4 - 315*T1^11*T2^4 + 45*T1^12*T2^4 + 
      111*T2^5 - 147*T1*T2^5 - 1477*T1^2*T2^5 + 3290*T1^3*T2^5 - 
      4230*T1^4*T2^5 - 226*T1^5*T2^5 + 5804*T1^6*T2^5 - 6006*T1^7*T2^5 - 
      156*T1^8*T2^5 + 3375*T1^9*T2^5 - 2845*T1^10*T2^5 + 698*T1^11*T2^5 + 
      203*T1^12*T2^5 - 74*T1^13*T2^5 - 60*T2^6 - 98*T1*T2^6 + 
      1550*T1^2*T2^6 - 1863*T1^3*T2^6 + 62*T1^4*T2^6 + 5804*T1^5*T2^6 - 
      8123*T1^6*T2^6 + 1233*T1^7*T2^6 + 8077*T1^8*T2^6 - 7052*T1^9*T2^6 + 
      1330*T1^10*T2^6 + 1817*T1^11*T2^6 - 1502*T1^12*T2^6 + 98*T1^13*T2^6 + 
      60*T1^14*T2^6 + 21*T2^7 + 133*T1*T2^7 - 814*T1^2*T2^7 - 342*T1^3*T2^7 + 
      3320*T1^4*T2^7 - 6006*T1^5*T2^7 + 1233*T1^6*T2^7 + 11712*T1^7*T2^7 - 
      16786*T1^8*T2^7 + 6318*T1^9*T2^7 + 3712*T1^10*T2^7 - 4065*T1^11*T2^7 + 
      1346*T1^12*T2^7 + 886*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 231*T1^2*T2^8 + 957*T1^3*T2^8 - 2384*T1^4*T2^8 - 
      156*T1^5*T2^8 + 8077*T1^6*T2^8 - 16786*T1^7*T2^8 + 8448*T1^8*T2^8 + 
      9194*T1^9*T2^8 - 14381*T1^10*T2^8 + 5600*T1^11*T2^8 - 68*T1^12*T2^8 - 
      1921*T1^13*T2^8 - 67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 714*T1^3*T2^9 + 632*T1^4*T2^9 + 
      3375*T1^5*T2^9 - 7052*T1^6*T2^9 + 6318*T1^7*T2^9 + 9194*T1^8*T2^9 - 
      19304*T1^9*T2^9 + 11403*T1^10*T2^9 + 2666*T1^11*T2^9 - 
      4010*T1^12*T2^9 + 2320*T1^13*T2^9 + 986*T1^14*T2^9 - 315*T1^15*T2^9 - 
      35*T1^16*T2^9 - 20*T1^2*T2^10 + 140*T1^3*T2^10 + 524*T1^4*T2^10 - 
      2845*T1^5*T2^10 + 1330*T1^6*T2^10 + 3712*T1^7*T2^10 - 
      14381*T1^8*T2^10 + 11403*T1^9*T2^10 + 1819*T1^10*T2^10 - 
      9144*T1^11*T2^10 + 2598*T1^12*T2^10 + 835*T1^13*T2^10 - 
      2528*T1^14*T2^10 + 336*T1^15*T2^10 + 100*T1^16*T2^10 - 315*T1^4*T2^11 + 
      698*T1^5*T2^11 + 1817*T1^6*T2^11 - 4065*T1^7*T2^11 + 5600*T1^8*T2^11 + 
      2666*T1^9*T2^11 - 9144*T1^10*T2^11 + 5670*T1^11*T2^11 + 
      3540*T1^12*T2^11 - 4318*T1^13*T2^11 + 2873*T1^14*T2^11 + 
      35*T1^15*T2^11 - 185*T1^16*T2^11 + 45*T1^4*T2^12 + 203*T1^5*T2^12 - 
      1502*T1^6*T2^12 + 1346*T1^7*T2^12 - 68*T1^8*T2^12 - 4010*T1^9*T2^12 + 
      2598*T1^10*T2^12 + 3540*T1^11*T2^12 - 7688*T1^12*T2^12 + 
      4528*T1^13*T2^12 - 1528*T1^14*T2^12 - 539*T1^15*T2^12 + 
      225*T1^16*T2^12 - 74*T1^5*T2^13 + 98*T1^6*T2^13 + 886*T1^7*T2^13 - 
      1921*T1^8*T2^13 + 2320*T1^9*T2^13 + 835*T1^10*T2^13 - 
      4318*T1^11*T2^13 + 4528*T1^12*T2^13 - 1483*T1^13*T2^13 - 
      214*T1^14*T2^13 + 735*T1^15*T2^13 - 185*T1^16*T2^13 + 60*T1^6*T2^14 - 
      224*T1^7*T2^14 - 67*T1^8*T2^14 + 986*T1^9*T2^14 - 2528*T1^10*T2^14 + 
      2873*T1^11*T2^14 - 1528*T1^12*T2^14 - 214*T1^13*T2^14 + 
      693*T1^14*T2^14 - 504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 315*T1^9*T2^15 + 336*T1^10*T2^15 + 35*T1^11*T2^15 - 
      539*T1^12*T2^15 + 735*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 
      185*T1^11*T2^16 + 225*T1^12*T2^16 - 185*T1^13*T2^16 + 100*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 88] -> 
  {-((1 - 8*T + 30*T^2 - 65*T^3 + 83*T^4 - 65*T^5 + 30*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 150*T1^2 + 325*T1^3 - 415*T1^4 + 325*T1^5 - 
      150*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 944*T1^2*T2 - 
      1640*T1^3*T2 + 1240*T1^4*T2 + 56*T1^5*T2 - 880*T1^6*T2 + 640*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 150*T2^2 + 944*T1*T2^2 - 2542*T1^2*T2^2 + 
      2782*T1^3*T2^2 + 1525*T1^4*T2^2 - 5700*T1^5*T2^2 + 4705*T1^6*T2^2 - 
      638*T1^7*T2^2 - 802*T1^8*T2^2 + 464*T1^9*T2^2 - 90*T1^10*T2^2 + 
      325*T2^3 - 1640*T1*T2^3 + 2782*T1^2*T2^3 + 2121*T1^3*T2^3 - 
      15052*T1^4*T2^3 + 15766*T1^5*T2^3 - 1229*T1^6*T2^3 - 9997*T1^7*T2^3 + 
      5871*T1^8*T2^3 - 908*T1^9*T2^3 - 320*T1^10*T2^3 + 130*T1^11*T2^3 - 
      415*T2^4 + 1240*T1*T2^4 + 1525*T1^2*T2^4 - 15052*T1^3*T2^4 + 
      28138*T1^4*T2^4 - 180*T1^5*T2^4 - 37224*T1^6*T2^4 + 36016*T1^7*T2^4 - 
      3918*T1^8*T2^4 - 6472*T1^9*T2^4 + 3165*T1^10*T2^4 - 376*T1^11*T2^4 - 
      83*T1^12*T2^4 + 325*T2^5 + 56*T1*T2^5 - 5700*T1^2*T2^5 + 
      15766*T1^3*T2^5 - 180*T1^4*T2^5 - 70787*T1^5*T2^5 + 90032*T1^6*T2^5 - 
      21678*T1^7*T2^5 - 45359*T1^8*T2^5 + 30217*T1^9*T2^5 - 5319*T1^10*T2^5 - 
      1464*T1^11*T2^5 + 664*T1^12*T2^5 - 150*T2^6 - 880*T1*T2^6 + 
      4705*T1^2*T2^6 - 1229*T1^3*T2^6 - 37224*T1^4*T2^6 + 90032*T1^5*T2^6 - 
      13412*T1^6*T2^6 - 118398*T1^7*T2^6 + 137188*T1^8*T2^6 - 
      34968*T1^9*T2^6 - 13064*T1^10*T2^6 + 9631*T1^11*T2^6 - 
      1555*T1^12*T2^6 - 240*T1^13*T2^6 + 30*T1^14*T2^6 + 40*T2^7 + 
      640*T1*T2^7 - 638*T1^2*T2^7 - 9997*T1^3*T2^7 + 36016*T1^4*T2^7 - 
      21678*T1^5*T2^7 - 118398*T1^6*T2^7 + 196989*T1^7*T2^7 - 
      90817*T1^8*T2^7 - 60703*T1^9*T2^7 + 63452*T1^10*T2^7 - 
      17577*T1^11*T2^7 - 952*T1^12*T2^7 + 1432*T1^13*T2^7 - 112*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 802*T1^2*T2^8 + 5871*T1^3*T2^8 - 
      3918*T1^4*T2^8 - 45359*T1^5*T2^8 + 137188*T1^6*T2^8 - 90817*T1^7*T2^8 - 
      80052*T1^8*T2^8 + 162905*T1^9*T2^8 - 73982*T1^10*T2^8 - 
      2957*T1^11*T2^8 + 12186*T1^12*T2^8 - 3479*T1^13*T2^8 - 34*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 464*T1^2*T2^9 - 
      908*T1^3*T2^9 - 6472*T1^4*T2^9 + 30217*T1^5*T2^9 - 34968*T1^6*T2^9 - 
      60703*T1^7*T2^9 + 162905*T1^8*T2^9 - 124901*T1^9*T2^9 - 
      3008*T1^10*T2^9 + 50162*T1^11*T2^9 - 23376*T1^12*T2^9 + 
      2573*T1^13*T2^9 + 1162*T1^14*T2^9 - 288*T1^15*T2^9 - 24*T1^16*T2^9 - 
      90*T1^2*T2^10 - 320*T1^3*T2^10 + 3165*T1^4*T2^10 - 5319*T1^5*T2^10 - 
      13064*T1^6*T2^10 + 63452*T1^7*T2^10 - 73982*T1^8*T2^10 - 
      3008*T1^9*T2^10 + 76618*T1^10*T2^10 - 61548*T1^11*T2^10 + 
      11096*T1^12*T2^10 + 5541*T1^13*T2^10 - 3095*T1^14*T2^10 + 
      320*T1^15*T2^10 + 90*T1^16*T2^10 + 130*T1^3*T2^11 - 376*T1^4*T2^11 - 
      1464*T1^5*T2^11 + 9631*T1^6*T2^11 - 17577*T1^7*T2^11 - 
      2957*T1^8*T2^11 + 50162*T1^9*T2^11 - 61548*T1^10*T2^11 + 
      22471*T1^11*T2^11 + 12820*T1^12*T2^11 - 11454*T1^13*T2^11 + 
      2772*T1^14*T2^11 + 232*T1^15*T2^11 - 195*T1^16*T2^11 - 83*T1^4*T2^12 + 
      664*T1^5*T2^12 - 1555*T1^6*T2^12 - 952*T1^7*T2^12 + 12186*T1^8*T2^12 - 
      23376*T1^9*T2^12 + 11096*T1^10*T2^12 + 12820*T1^11*T2^12 - 
      19870*T1^12*T2^12 + 7628*T1^13*T2^12 + 85*T1^14*T2^12 - 
      952*T1^15*T2^12 + 249*T1^16*T2^12 - 240*T1^6*T2^13 + 1432*T1^7*T2^13 - 
      3479*T1^8*T2^13 + 2573*T1^9*T2^13 + 5541*T1^10*T2^13 - 
      11454*T1^11*T2^13 + 7628*T1^12*T2^13 + 271*T1^13*T2^13 - 
      2258*T1^14*T2^13 + 1080*T1^15*T2^13 - 195*T1^16*T2^13 + 30*T1^6*T2^14 - 
      112*T1^7*T2^14 - 34*T1^8*T2^14 + 1162*T1^9*T2^14 - 3095*T1^10*T2^14 + 
      2772*T1^11*T2^14 + 85*T1^12*T2^14 - 2258*T1^13*T2^14 + 
      1706*T1^14*T2^14 - 592*T1^15*T2^14 + 90*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 288*T1^9*T2^15 + 320*T1^10*T2^15 + 232*T1^11*T2^15 - 
      952*T1^12*T2^15 + 1080*T1^13*T2^15 - 592*T1^14*T2^15 + 
      176*T1^15*T2^15 - 24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 
      90*T1^10*T2^16 - 195*T1^11*T2^16 + 249*T1^12*T2^16 - 195*T1^13*T2^16 + 
      90*T1^14*T2^16 - 24*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 89] -> 
  {(4 - 17*T + 38*T^2 - 49*T^3 + 38*T^4 - 17*T^5 + 4*T^6)/T^3, 
   (-112 + 484*T1 - 1084*T1^2 + 1400*T1^3 - 1084*T1^4 + 484*T1^5 - 112*T1^6 + 
     484*T2 - 1874*T1*T2 + 3739*T1^2*T2 - 3943*T1^3*T2 + 1973*T1^4*T2 - 
     T1^5*T2 - 446*T1^6*T2 + 212*T1^7*T2 - 1084*T2^2 + 3739*T1*T2^2 - 
     6243*T1^2*T2^2 + 3876*T1^3*T2^2 + 2415*T1^4*T2^2 - 5852*T1^5*T2^2 + 
     4093*T1^6*T2^2 - 1429*T1^7*T2^2 + 132*T1^8*T2^2 + 1400*T2^3 - 
     3943*T1*T2^3 + 3876*T1^2*T2^3 + 3880*T1^3*T2^3 - 12995*T1^4*T2^3 + 
     10867*T1^5*T2^3 - 486*T1^6*T2^3 - 4902*T1^7*T2^3 + 3469*T1^8*T2^3 - 
     952*T1^9*T2^3 - 1084*T2^4 + 1973*T1*T2^4 + 2415*T1^2*T2^4 - 
     12995*T1^3*T2^4 + 17524*T1^4*T2^4 - 2238*T1^5*T2^4 - 15116*T1^6*T2^4 + 
     13857*T1^7*T2^4 - 2803*T1^8*T2^4 - 1699*T1^9*T2^4 + 1348*T1^10*T2^4 + 
     484*T2^5 - T1*T2^5 - 5852*T1^2*T2^5 + 10867*T1^3*T2^5 - 2238*T1^4*T2^5 - 
     26040*T1^5*T2^5 + 36504*T1^6*T2^5 - 14854*T1^7*T2^5 - 7015*T1^8*T2^5 + 
     6726*T1^9*T2^5 - 1973*T1^10*T2^5 - 876*T1^11*T2^5 - 112*T2^6 - 
     446*T1*T2^6 + 4093*T1^2*T2^6 - 486*T1^3*T2^6 - 15116*T1^4*T2^6 + 
     36504*T1^5*T2^6 - 20580*T1^6*T2^6 - 18240*T1^7*T2^6 + 30080*T1^8*T2^6 - 
     10358*T1^9*T2^6 - 359*T1^10*T2^6 + 2546*T1^11*T2^6 + 272*T1^12*T2^6 + 
     212*T1*T2^7 - 1429*T1^2*T2^7 - 4902*T1^3*T2^7 + 13857*T1^4*T2^7 - 
     14854*T1^5*T2^7 - 18240*T1^6*T2^7 + 44304*T1^7*T2^7 - 27470*T1^8*T2^7 - 
     4025*T1^9*T2^7 + 7676*T1^10*T2^7 - 3401*T1^11*T2^7 - 1148*T1^12*T2^7 + 
     132*T1^2*T2^8 + 3469*T1^3*T2^8 - 2803*T1^4*T2^8 - 7015*T1^5*T2^8 + 
     30080*T1^6*T2^8 - 27470*T1^7*T2^8 - 2560*T1^8*T2^8 + 19837*T1^9*T2^8 - 
     8021*T1^10*T2^8 - 203*T1^11*T2^8 + 2564*T1^12*T2^8 - 952*T1^3*T2^9 - 
     1699*T1^4*T2^9 + 6726*T1^5*T2^9 - 10358*T1^6*T2^9 - 4025*T1^7*T2^9 + 
     19837*T1^8*T2^9 - 14724*T1^9*T2^9 - 2052*T1^10*T2^9 + 5713*T1^11*T2^9 - 
     3304*T1^12*T2^9 + 1348*T1^4*T2^10 - 1973*T1^5*T2^10 - 359*T1^6*T2^10 + 
     7676*T1^7*T2^10 - 8021*T1^8*T2^10 - 2052*T1^9*T2^10 + 9977*T1^10*T2^10 - 
     7141*T1^11*T2^10 + 2564*T1^12*T2^10 - 876*T1^5*T2^11 + 2546*T1^6*T2^11 - 
     3401*T1^7*T2^11 - 203*T1^8*T2^11 + 5713*T1^9*T2^11 - 7141*T1^10*T2^11 + 
     3974*T1^11*T2^11 - 1148*T1^12*T2^11 + 272*T1^6*T2^12 - 1148*T1^7*T2^12 + 
     2564*T1^8*T2^12 - 3304*T1^9*T2^12 + 2564*T1^10*T2^12 - 
     1148*T1^11*T2^12 + 272*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 90] -> 
  {-((1 - 7*T + 24*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 120*T1^2 + 245*T1^3 - 305*T1^4 + 245*T1^5 - 
      120*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 644*T1^2*T2 - 
      1043*T1^3*T2 + 763*T1^4*T2 - 7*T1^5*T2 - 532*T1^6*T2 + 427*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 120*T2^2 + 644*T1*T2^2 - 1579*T1^2*T2^2 + 
      1674*T1^3*T2^2 + 576*T1^4*T2^2 - 2577*T1^5*T2^2 + 2352*T1^6*T2^2 - 
      342*T1^7*T2^2 - 475*T1^8*T2^2 + 308*T1^9*T2^2 - 72*T1^10*T2^2 + 
      245*T2^3 - 1043*T1*T2^3 + 1674*T1^2*T2^3 + 717*T1^3*T2^3 - 
      6635*T1^4*T2^3 + 6683*T1^5*T2^3 - 1066*T1^6*T2^3 - 4367*T1^7*T2^3 + 
      2859*T1^8*T2^3 - 510*T1^9*T2^3 - 182*T1^10*T2^3 + 98*T1^11*T2^3 - 
      305*T2^4 + 763*T1*T2^4 + 576*T1^2*T2^4 - 6635*T1^3*T2^4 + 
      12020*T1^4*T2^4 - 144*T1^5*T2^4 - 13430*T1^6*T2^4 + 14990*T1^7*T2^4 - 
      2152*T1^8*T2^4 - 2813*T1^9*T2^4 + 1630*T1^10*T2^4 - 259*T1^11*T2^4 - 
      61*T1^12*T2^4 + 245*T2^5 - 7*T1*T2^5 - 2577*T1^2*T2^5 + 
      6683*T1^3*T2^5 - 144*T1^4*T2^5 - 27418*T1^5*T2^5 + 32579*T1^6*T2^5 - 
      10863*T1^7*T2^5 - 16428*T1^8*T2^5 + 12505*T1^9*T2^5 - 2648*T1^10*T2^5 - 
      666*T1^11*T2^5 + 427*T1^12*T2^5 - 120*T2^6 - 532*T1*T2^6 + 
      2352*T1^2*T2^6 - 1066*T1^3*T2^6 - 13430*T1^4*T2^6 + 32579*T1^5*T2^6 - 
      3185*T1^6*T2^6 - 38901*T1^7*T2^6 + 50839*T1^8*T2^6 - 15133*T1^9*T2^6 - 
      4530*T1^10*T2^6 + 4310*T1^11*T2^6 - 868*T1^12*T2^6 - 168*T1^13*T2^6 + 
      24*T1^14*T2^6 + 35*T2^7 + 427*T1*T2^7 - 342*T1^2*T2^7 - 
      4367*T1^3*T2^7 + 14990*T1^4*T2^7 - 10863*T1^5*T2^7 - 38901*T1^6*T2^7 + 
      62956*T1^7*T2^7 - 33938*T1^8*T2^7 - 19784*T1^9*T2^7 + 
      24039*T1^10*T2^7 - 7599*T1^11*T2^7 - 419*T1^12*T2^7 + 834*T1^13*T2^7 - 
      70*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 475*T1^2*T2^8 + 
      2859*T1^3*T2^8 - 2152*T1^4*T2^8 - 16428*T1^5*T2^8 + 50839*T1^6*T2^8 - 
      33938*T1^7*T2^8 - 20172*T1^8*T2^8 + 53674*T1^9*T2^8 - 
      26819*T1^10*T2^8 - 1336*T1^11*T2^8 + 5612*T1^12*T2^8 - 
      1803*T1^13*T2^8 - 37*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 
      28*T1*T2^9 + 308*T1^2*T2^9 - 510*T1^3*T2^9 - 2813*T1^4*T2^9 + 
      12505*T1^5*T2^9 - 15133*T1^6*T2^9 - 19784*T1^7*T2^9 + 53674*T1^8*T2^9 - 
      43220*T1^9*T2^9 - 667*T1^10*T2^9 + 19769*T1^11*T2^9 - 
      10084*T1^12*T2^9 + 1135*T1^13*T2^9 + 666*T1^14*T2^9 - 189*T1^15*T2^9 - 
      21*T1^16*T2^9 - 72*T1^2*T2^10 - 182*T1^3*T2^10 + 1630*T1^4*T2^10 - 
      2648*T1^5*T2^10 - 4530*T1^6*T2^10 + 24039*T1^7*T2^10 - 
      26819*T1^8*T2^10 - 667*T1^9*T2^10 + 27205*T1^10*T2^10 - 
      23673*T1^11*T2^10 + 4370*T1^12*T2^10 + 2728*T1^13*T2^10 - 
      1590*T1^14*T2^10 + 182*T1^15*T2^10 + 72*T1^16*T2^10 + 98*T1^3*T2^11 - 
      259*T1^4*T2^11 - 666*T1^5*T2^11 + 4310*T1^6*T2^11 - 7599*T1^7*T2^11 - 
      1336*T1^8*T2^11 + 19769*T1^9*T2^11 - 23673*T1^10*T2^11 + 
      9654*T1^11*T2^11 + 5050*T1^12*T2^11 - 5021*T1^13*T2^11 + 
      1245*T1^14*T2^11 + 175*T1^15*T2^11 - 147*T1^16*T2^11 - 61*T1^4*T2^12 + 
      427*T1^5*T2^12 - 868*T1^6*T2^12 - 419*T1^7*T2^12 + 5612*T1^8*T2^12 - 
      10084*T1^9*T2^12 + 4370*T1^10*T2^12 + 5050*T1^11*T2^12 - 
      8560*T1^12*T2^12 + 3403*T1^13*T2^12 + 186*T1^14*T2^12 - 
      595*T1^15*T2^12 + 183*T1^16*T2^12 - 168*T1^6*T2^13 + 834*T1^7*T2^13 - 
      1803*T1^8*T2^13 + 1135*T1^9*T2^13 + 2728*T1^10*T2^13 - 
      5021*T1^11*T2^13 + 3403*T1^12*T2^13 + 339*T1^13*T2^13 - 
      1350*T1^14*T2^13 + 693*T1^15*T2^13 - 147*T1^16*T2^13 + 24*T1^6*T2^14 - 
      70*T1^7*T2^14 - 37*T1^8*T2^14 + 666*T1^9*T2^14 - 1590*T1^10*T2^14 + 
      1245*T1^11*T2^14 + 186*T1^12*T2^14 - 1350*T1^13*T2^14 + 
      1067*T1^14*T2^14 - 406*T1^15*T2^14 + 72*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 189*T1^9*T2^15 + 182*T1^10*T2^15 + 175*T1^11*T2^15 - 
      595*T1^12*T2^15 + 693*T1^13*T2^15 - 406*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 72*T1^10*T2^16 - 
      147*T1^11*T2^16 + 183*T1^12*T2^16 - 147*T1^13*T2^16 + 72*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 91] -> 
  {(1 - 8*T + 26*T^2 - 47*T^3 + 57*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 156*T1^2 + 282*T1^3 - 342*T1^4 + 282*T1^5 - 156*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 928*T1^2*T2 - 1216*T1^3*T2 + 
     856*T1^4*T2 + 24*T1^5*T2 - 632*T1^6*T2 + 656*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 156*T2^2 + 928*T1*T2^2 - 1604*T1^2*T2^2 - 137*T1^3*T2^2 + 
     3412*T1^4*T2^2 - 5982*T1^5*T2^2 + 5024*T1^6*T2^2 - 2165*T1^7*T2^2 - 
     304*T1^8*T2^2 + 512*T1^9*T2^2 - 104*T1^10*T2^2 + 282*T2^3 - 
     1216*T1*T2^3 - 137*T1^2*T2^3 + 7199*T1^3*T2^3 - 12248*T1^4*T2^3 + 
     10561*T1^5*T2^3 - 778*T1^6*T2^3 - 6229*T1^7*T2^3 + 6895*T1^8*T2^3 - 
     1931*T1^9*T2^3 - 296*T1^10*T2^3 + 141*T1^11*T2^3 - 342*T2^4 + 
     856*T1*T2^4 + 3412*T1^2*T2^4 - 12248*T1^3*T2^4 + 7640*T1^4*T2^4 + 
     7478*T1^5*T2^4 - 24476*T1^6*T2^4 + 21898*T1^7*T2^4 - 8920*T1^8*T2^4 - 
     4164*T1^9*T2^4 + 3324*T1^10*T2^4 - 216*T1^11*T2^4 - 114*T1^12*T2^4 + 
     282*T2^5 + 24*T1*T2^5 - 5982*T1^2*T2^5 + 10561*T1^3*T2^5 + 
     7478*T1^4*T2^5 - 25629*T1^5*T2^5 + 30091*T1^6*T2^5 - 5123*T1^7*T2^5 - 
     14063*T1^8*T2^5 + 18199*T1^9*T2^5 - 2964*T1^10*T2^5 - 2370*T1^11*T2^5 + 
     536*T1^12*T2^5 + 47*T1^13*T2^5 - 156*T2^6 - 632*T1*T2^6 + 
     5024*T1^2*T2^6 - 778*T1^3*T2^6 - 24476*T1^4*T2^6 + 30091*T1^5*T2^6 - 
     13660*T1^6*T2^6 - 20744*T1^7*T2^6 + 23468*T1^8*T2^6 - 8613*T1^9*T2^6 - 
     12172*T1^10*T2^6 + 7282*T1^11*T2^6 + 12*T1^12*T2^6 - 376*T1^13*T2^6 + 
     48*T2^7 + 656*T1*T2^7 - 2165*T1^2*T2^7 - 6229*T1^3*T2^7 + 
     21898*T1^4*T2^7 - 5123*T1^5*T2^7 - 20744*T1^6*T2^7 + 36509*T1^7*T2^7 - 
     9345*T1^8*T2^7 - 15003*T1^9*T2^7 + 23111*T1^10*T2^7 - 3619*T1^11*T2^7 - 
     3988*T1^12*T2^7 + 1033*T1^13*T2^7 + 64*T1^14*T2^7 - 8*T1^15*T2^7 - 
     6*T2^8 - 272*T1*T2^8 - 304*T1^2*T2^8 + 6895*T1^3*T2^8 - 8920*T1^4*T2^8 - 
     14063*T1^5*T2^8 + 23468*T1^6*T2^8 - 9345*T1^7*T2^8 - 26268*T1^8*T2^8 + 
     31693*T1^9*T2^8 - 15250*T1^10*T2^8 - 9189*T1^11*T2^8 + 8448*T1^12*T2^8 - 
     711*T1^13*T2^8 - 464*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 
     40*T1*T2^9 + 512*T1^2*T2^9 - 1931*T1^3*T2^9 - 4164*T1^4*T2^9 + 
     18199*T1^5*T2^9 - 8613*T1^6*T2^9 - 15003*T1^7*T2^9 + 31693*T1^8*T2^9 - 
     14161*T1^9*T2^9 - 9262*T1^10*T2^9 + 19621*T1^11*T2^9 - 7318*T1^12*T2^9 - 
     1923*T1^13*T2^9 + 1267*T1^14*T2^9 - 80*T1^15*T2^9 - 16*T1^16*T2^9 - 
     104*T1^2*T2^10 - 296*T1^3*T2^10 + 3324*T1^4*T2^10 - 2964*T1^5*T2^10 - 
     12172*T1^6*T2^10 + 23111*T1^7*T2^10 - 15250*T1^8*T2^10 - 
     9262*T1^9*T2^10 + 21878*T1^10*T2^10 - 15593*T1^11*T2^10 + 
     132*T1^12*T2^10 + 5096*T1^13*T2^10 - 1688*T1^14*T2^10 - 40*T1^15*T2^10 + 
     52*T1^16*T2^10 + 141*T1^3*T2^11 - 216*T1^4*T2^11 - 2370*T1^5*T2^11 + 
     7282*T1^6*T2^11 - 3619*T1^7*T2^11 - 9189*T1^8*T2^11 + 19621*T1^9*T2^11 - 
     15593*T1^10*T2^11 + 2377*T1^11*T2^11 + 7102*T1^12*T2^11 - 
     6243*T1^13*T2^11 + 1242*T1^14*T2^11 + 296*T1^15*T2^11 - 94*T1^16*T2^11 - 
     114*T1^4*T2^12 + 536*T1^5*T2^12 + 12*T1^6*T2^12 - 3988*T1^7*T2^12 + 
     8448*T1^8*T2^12 - 7318*T1^9*T2^12 + 132*T1^10*T2^12 + 7102*T1^11*T2^12 - 
     8112*T1^12*T2^12 + 4096*T1^13*T2^12 - 76*T1^14*T2^12 - 536*T1^15*T2^12 + 
     114*T1^16*T2^12 + 47*T1^5*T2^13 - 376*T1^6*T2^13 + 1033*T1^7*T2^13 - 
     711*T1^8*T2^13 - 1923*T1^9*T2^13 + 5096*T1^10*T2^13 - 6243*T1^11*T2^13 + 
     4096*T1^12*T2^13 - 1015*T1^13*T2^13 - 761*T1^14*T2^13 + 
     544*T1^15*T2^13 - 94*T1^16*T2^13 + 64*T1^7*T2^14 - 464*T1^8*T2^14 + 
     1267*T1^9*T2^14 - 1688*T1^10*T2^14 + 1242*T1^11*T2^14 - 76*T1^12*T2^14 - 
     761*T1^13*T2^14 + 836*T1^14*T2^14 - 352*T1^15*T2^14 + 52*T1^16*T2^14 - 
     8*T1^7*T2^15 + 48*T1^8*T2^15 - 80*T1^9*T2^15 - 40*T1^10*T2^15 + 
     296*T1^11*T2^15 - 536*T1^12*T2^15 + 544*T1^13*T2^15 - 352*T1^14*T2^15 + 
     120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 
     52*T1^10*T2^16 - 94*T1^11*T2^16 + 114*T1^12*T2^16 - 94*T1^13*T2^16 + 
     52*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 92] -> 
  {-((1 - 8*T + 23*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 23*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 69*T1^2 + 120*T1^3 - 141*T1^4 + 120*T1^5 - 
      69*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 424*T1^2*T2 - 
      592*T1^3*T2 + 488*T1^4*T2 - 208*T1^5*T2 - 88*T1^6*T2 + 176*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 69*T2^2 + 424*T1*T2^2 - 579*T1^2*T2^2 - 
      23*T1^3*T2^2 + 1392*T1^4*T2^2 - 2389*T1^5*T2^2 + 2496*T1^6*T2^2 - 
      1495*T1^7*T2^2 + 433*T1^8*T2^2 + 56*T1^9*T2^2 - 23*T1^10*T2^2 + 
      120*T2^3 - 592*T1*T2^3 - 23*T1^2*T2^3 + 2220*T1^3*T2^3 - 
      4866*T1^4*T2^3 + 5132*T1^5*T2^3 - 3316*T1^6*T2^3 + 126*T1^7*T2^3 + 
      1436*T1^8*T2^3 - 1127*T1^9*T2^3 + 184*T1^10*T2^3 - 141*T2^4 + 
      488*T1*T2^4 + 1392*T1^2*T2^4 - 4866*T1^3*T2^4 + 7033*T1^4*T2^4 - 
      4186*T1^5*T2^4 - 597*T1^6*T2^4 + 5158*T1^7*T2^4 - 4799*T1^8*T2^4 + 
      1694*T1^9*T2^4 + 596*T1^10*T2^4 - 376*T1^11*T2^4 + 47*T1^12*T2^4 + 
      120*T2^5 - 208*T1*T2^5 - 2389*T1^2*T2^5 + 5132*T1^3*T2^5 - 
      4186*T1^4*T2^5 - 2290*T1^5*T2^5 + 7170*T1^6*T2^5 - 8006*T1^7*T2^5 + 
      1830*T1^8*T2^5 + 4142*T1^9*T2^5 - 4532*T1^10*T2^5 + 1115*T1^11*T2^5 + 
      264*T1^12*T2^5 - 80*T1^13*T2^5 - 69*T2^6 - 88*T1*T2^6 + 
      2496*T1^2*T2^6 - 3316*T1^3*T2^6 - 597*T1^4*T2^6 + 7170*T1^5*T2^6 - 
      7582*T1^6*T2^6 + 2226*T1^7*T2^6 + 6382*T1^8*T2^6 - 8654*T1^9*T2^6 + 
      2253*T1^10*T2^6 + 3308*T1^11*T2^6 - 2408*T1^12*T2^6 + 88*T1^13*T2^6 + 
      69*T1^14*T2^6 + 24*T2^7 + 176*T1*T2^7 - 1495*T1^2*T2^7 + 
      126*T1^3*T2^7 + 5158*T1^4*T2^7 - 8006*T1^5*T2^7 + 2226*T1^6*T2^7 + 
      6818*T1^7*T2^7 - 10878*T1^8*T2^7 + 5298*T1^9*T2^7 + 5874*T1^10*T2^7 - 
      7234*T1^11*T2^7 + 1406*T1^12*T2^7 + 1817*T1^13*T2^7 - 296*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 433*T1^2*T2^8 + 1436*T1^3*T2^8 - 
      4799*T1^4*T2^8 + 1830*T1^5*T2^8 + 6382*T1^6*T2^8 - 10878*T1^7*T2^8 + 
      3996*T1^8*T2^8 + 6594*T1^9*T2^8 - 13858*T1^10*T2^8 + 5318*T1^11*T2^8 + 
      3285*T1^12*T2^8 - 3780*T1^13*T2^8 - 339*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 56*T1^2*T2^9 - 1127*T1^3*T2^9 + 
      1694*T1^4*T2^9 + 4142*T1^5*T2^9 - 8654*T1^6*T2^9 + 5298*T1^7*T2^9 + 
      6594*T1^8*T2^9 - 11102*T1^9*T2^9 + 8370*T1^10*T2^9 + 5226*T1^11*T2^9 - 
      8250*T1^12*T2^9 + 2974*T1^13*T2^9 + 2185*T1^14*T2^9 - 416*T1^15*T2^9 - 
      40*T1^16*T2^9 - 23*T1^2*T2^10 + 184*T1^3*T2^10 + 596*T1^4*T2^10 - 
      4532*T1^5*T2^10 + 2253*T1^6*T2^10 + 5874*T1^7*T2^10 - 
      13858*T1^8*T2^10 + 8370*T1^9*T2^10 + 106*T1^10*T2^10 - 
      9950*T1^11*T2^10 + 5103*T1^12*T2^10 + 2092*T1^13*T2^10 - 
      4308*T1^14*T2^10 + 360*T1^15*T2^10 + 115*T1^16*T2^10 - 376*T1^4*T2^11 + 
      1115*T1^5*T2^11 + 3308*T1^6*T2^11 - 7234*T1^7*T2^11 + 5318*T1^8*T2^11 + 
      5226*T1^9*T2^11 - 9950*T1^10*T2^11 + 9438*T1^11*T2^11 + 
      1094*T1^12*T2^11 - 6356*T1^13*T2^11 + 4619*T1^14*T2^11 + 
      96*T1^15*T2^11 - 200*T1^16*T2^11 + 47*T1^4*T2^12 + 264*T1^5*T2^12 - 
      2408*T1^6*T2^12 + 1406*T1^7*T2^12 + 3285*T1^8*T2^12 - 8250*T1^9*T2^12 + 
      5103*T1^10*T2^12 + 1094*T1^11*T2^12 - 8547*T1^12*T2^12 + 
      7966*T1^13*T2^12 - 3204*T1^14*T2^12 - 600*T1^15*T2^12 + 
      235*T1^16*T2^12 - 80*T1^5*T2^13 + 88*T1^6*T2^13 + 1817*T1^7*T2^13 - 
      3780*T1^8*T2^13 + 2974*T1^9*T2^13 + 2092*T1^10*T2^13 - 
      6356*T1^11*T2^13 + 7966*T1^12*T2^13 - 4564*T1^13*T2^13 + 
      713*T1^14*T2^13 + 864*T1^15*T2^13 - 200*T1^16*T2^13 + 69*T1^6*T2^14 - 
      296*T1^7*T2^14 - 339*T1^8*T2^14 + 2185*T1^9*T2^14 - 4308*T1^10*T2^14 + 
      4619*T1^11*T2^14 - 3204*T1^12*T2^14 + 713*T1^13*T2^14 + 
      673*T1^14*T2^14 - 664*T1^15*T2^14 + 115*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 416*T1^9*T2^15 + 360*T1^10*T2^15 + 96*T1^11*T2^15 - 
      600*T1^12*T2^15 + 864*T1^13*T2^15 - 664*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 115*T1^10*T2^16 - 
      200*T1^11*T2^16 + 235*T1^12*T2^16 - 200*T1^13*T2^16 + 115*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 93] -> 
  {(3 - 9*T + 16*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 16*T^6 - 9*T^7 + 3*T^8)/
    T^4, -((219 - 651*T1 + 1150*T1^2 - 1501*T1^3 + 1641*T1^4 - 1501*T1^5 + 
      1150*T1^6 - 651*T1^7 + 219*T1^8 - 651*T2 + 1373*T1*T2 - 1744*T1^2*T2 + 
      1496*T1^3*T2 - 992*T1^4*T2 + 196*T1^5*T2 + 497*T1^6*T2 - 1069*T1^7*T2 + 
      1049*T1^8*T2 - 570*T1^9*T2 + 1150*T2^2 - 1744*T1*T2^2 + 
      1847*T1^2*T2^2 - 1433*T1^3*T2^2 + 1299*T1^4*T2^2 - 809*T1^5*T2^2 + 
      627*T1^6*T2^2 - 281*T1^7*T2^2 + 599*T1^8*T2^2 - 880*T1^9*T2^2 + 
      862*T1^10*T2^2 - 1501*T2^3 + 1496*T1*T2^3 - 1433*T1^2*T2^3 + 
      1007*T1^3*T2^3 - 1148*T1^4*T2^3 + 416*T1^5*T2^3 - 241*T1^6*T2^3 - 
      428*T1^7*T2^3 + 71*T1^8*T2^3 - 137*T1^9*T2^3 + 227*T1^10*T2^3 - 
      934*T1^11*T2^3 + 1641*T2^4 - 992*T1*T2^4 + 1299*T1^2*T2^4 - 
      1148*T1^3*T2^4 + 1660*T1^4*T2^4 - 781*T1^5*T2^4 + 896*T1^6*T2^4 - 
      115*T1^7*T2^4 + 676*T1^8*T2^4 - 266*T1^9*T2^4 + 285*T1^10*T2^4 + 
      358*T1^11*T2^4 + 813*T1^12*T2^4 - 1501*T2^5 + 196*T1*T2^5 - 
      809*T1^2*T2^5 + 416*T1^3*T2^5 - 781*T1^4*T2^5 - 364*T1^5*T2^5 - 
      162*T1^6*T2^5 - 480*T1^7*T2^5 - 484*T1^8*T2^5 - 40*T1^9*T2^5 - 
      295*T1^10*T2^5 - 350*T1^11*T2^5 - 776*T1^12*T2^5 - 556*T1^13*T2^5 + 
      1150*T2^6 + 497*T1*T2^6 + 627*T1^2*T2^6 - 241*T1^3*T2^6 + 
      896*T1^4*T2^6 - 162*T1^5*T2^6 + 1300*T1^6*T2^6 - 666*T1^7*T2^6 + 
      1476*T1^8*T2^6 - 402*T1^9*T2^6 + 580*T1^10*T2^6 + 335*T1^11*T2^6 + 
      615*T1^12*T2^6 + 821*T1^13*T2^6 + 286*T1^14*T2^6 - 651*T2^7 - 
      1069*T1*T2^7 - 281*T1^2*T2^7 - 428*T1^3*T2^7 - 115*T1^4*T2^7 - 
      480*T1^5*T2^7 - 666*T1^6*T2^7 - 180*T1^7*T2^7 - 492*T1^8*T2^7 - 
      537*T1^9*T2^7 - 6*T1^10*T2^7 - 556*T1^11*T2^7 - 500*T1^12*T2^7 - 
      713*T1^13*T2^7 - 610*T1^14*T2^7 - 84*T1^15*T2^7 + 219*T2^8 + 
      1049*T1*T2^8 + 599*T1^2*T2^8 + 71*T1^3*T2^8 + 676*T1^4*T2^8 - 
      484*T1^5*T2^8 + 1476*T1^6*T2^8 - 492*T1^7*T2^8 + 972*T1^8*T2^8 - 
      48*T1^9*T2^8 + 634*T1^10*T2^8 - 112*T1^11*T2^8 + 780*T1^12*T2^8 + 
      377*T1^13*T2^8 + 749*T1^14*T2^8 + 239*T1^15*T2^8 + 3*T1^16*T2^8 - 
      570*T1*T2^9 - 880*T1^2*T2^9 - 137*T1^3*T2^9 - 266*T1^4*T2^9 - 
      40*T1^5*T2^9 - 402*T1^6*T2^9 - 537*T1^7*T2^9 - 48*T1^8*T2^9 - 
      360*T1^9*T2^9 - 408*T1^10*T2^9 + 72*T1^11*T2^9 - 481*T1^12*T2^9 - 
      338*T1^13*T2^9 - 569*T1^14*T2^9 - 421*T1^15*T2^9 - 3*T1^16*T2^9 + 
      862*T1^2*T2^10 + 227*T1^3*T2^10 + 285*T1^4*T2^10 - 295*T1^5*T2^10 + 
      580*T1^6*T2^10 - 6*T1^7*T2^10 + 634*T1^8*T2^10 - 408*T1^9*T2^10 + 
      810*T1^10*T2^10 - 246*T1^11*T2^10 + 264*T1^12*T2^10 + 281*T1^13*T2^10 + 
      273*T1^14*T2^10 + 551*T1^15*T2^10 - 2*T1^16*T2^10 - 934*T1^3*T2^11 + 
      358*T1^4*T2^11 - 350*T1^5*T2^11 + 335*T1^6*T2^11 - 556*T1^7*T2^11 - 
      112*T1^8*T2^11 + 72*T1^9*T2^11 - 246*T1^10*T2^11 - 232*T1^11*T2^11 + 
      185*T1^12*T2^11 - 376*T1^13*T2^11 + 109*T1^14*T2^11 - 614*T1^15*T2^11 + 
      11*T1^16*T2^11 + 813*T1^4*T2^12 - 776*T1^5*T2^12 + 615*T1^6*T2^12 - 
      500*T1^7*T2^12 + 780*T1^8*T2^12 - 481*T1^9*T2^12 + 264*T1^10*T2^12 + 
      185*T1^11*T2^12 - 204*T1^12*T2^12 + 382*T1^13*T2^12 - 399*T1^14*T2^12 + 
      574*T1^15*T2^12 - 15*T1^16*T2^12 - 556*T1^5*T2^13 + 821*T1^6*T2^13 - 
      713*T1^7*T2^13 + 377*T1^8*T2^13 - 338*T1^9*T2^13 + 281*T1^10*T2^13 - 
      376*T1^11*T2^13 + 382*T1^12*T2^13 - 559*T1^13*T2^13 + 583*T1^14*T2^13 - 
      448*T1^15*T2^13 + 11*T1^16*T2^13 + 286*T1^6*T2^14 - 610*T1^7*T2^14 + 
      749*T1^8*T2^14 - 569*T1^9*T2^14 + 273*T1^10*T2^14 + 109*T1^11*T2^14 - 
      399*T1^12*T2^14 + 583*T1^13*T2^14 - 499*T1^14*T2^14 + 254*T1^15*T2^14 - 
      2*T1^16*T2^14 - 84*T1^7*T2^15 + 239*T1^8*T2^15 - 421*T1^9*T2^15 + 
      551*T1^10*T2^15 - 614*T1^11*T2^15 + 574*T1^12*T2^15 - 448*T1^13*T2^15 + 
      254*T1^14*T2^15 - 85*T1^15*T2^15 - 3*T1^16*T2^15 + 3*T1^8*T2^16 - 
      3*T1^9*T2^16 - 2*T1^10*T2^16 + 11*T1^11*T2^16 - 15*T1^12*T2^16 + 
      11*T1^13*T2^16 - 2*T1^14*T2^16 - 3*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 94] -> 
  {(6 - 20*T + 35*T^2 - 41*T^3 + 35*T^4 - 20*T^5 + 6*T^6)/T^3, 
   -((1347 - 4441*T1 + 7723*T1^2 - 9021*T1^3 + 7723*T1^4 - 4441*T1^5 + 
      1347*T1^6 - 4441*T2 + 10968*T1*T2 - 13312*T1^2*T2 + 8532*T1^3*T2 - 
      588*T1^4*T2 - 6712*T1^5*T2 + 7848*T1^6*T2 - 3721*T1^7*T2 + 7723*T2^2 - 
      13312*T1*T2^2 + 8912*T1^2*T2^2 + 2310*T1^3*T2^2 - 9456*T1^4*T2^2 + 
      11130*T1^5*T2^2 - 3268*T1^6*T2^2 - 4912*T1^7*T2^2 + 5203*T1^8*T2^2 - 
      9021*T2^3 + 8532*T1*T2^3 + 2310*T1^2*T2^3 - 11890*T1^3*T2^3 + 
      9339*T1^4*T2^3 - 3271*T1^5*T2^3 - 8076*T1^6*T2^3 + 9940*T1^7*T2^3 - 
      2028*T1^8*T2^3 - 4593*T1^9*T2^3 + 7723*T2^4 - 588*T1*T2^4 - 
      9456*T1^2*T2^4 + 9339*T1^3*T2^4 + 2265*T1^4*T2^4 - 7703*T1^5*T2^4 + 
      12345*T1^6*T2^4 - 3781*T1^7*T2^4 - 6056*T1^8*T2^4 + 6372*T1^9*T2^4 + 
      2683*T1^10*T2^4 - 4441*T2^5 - 6712*T1*T2^5 + 11130*T1^2*T2^5 - 
      3271*T1^3*T2^5 - 7703*T1^4*T2^5 + 5567*T1^5*T2^5 - 3593*T1^6*T2^5 - 
      6478*T1^7*T2^5 + 8319*T1^8*T2^5 - 1260*T1^9*T2^5 - 6112*T1^10*T2^5 - 
      841*T1^11*T2^5 + 1347*T2^6 + 7848*T1*T2^6 - 3268*T1^2*T2^6 - 
      8076*T1^3*T2^6 + 12345*T1^4*T2^6 - 3593*T1^5*T2^6 - 168*T1^6*T2^6 + 
      5777*T1^7*T2^6 - 665*T1^8*T2^6 - 6220*T1^9*T2^6 + 6472*T1^10*T2^6 + 
      2568*T1^11*T2^6 + 51*T1^12*T2^6 - 3721*T1*T2^7 - 4912*T1^2*T2^7 + 
      9940*T1^3*T2^7 - 3781*T1^4*T2^7 - 6478*T1^5*T2^7 + 5777*T1^6*T2^7 - 
      3383*T1^7*T2^7 - 5253*T1^8*T2^7 + 7809*T1^9*T2^7 - 2450*T1^10*T2^7 - 
      4312*T1^11*T2^7 - 121*T1^12*T2^7 + 5203*T1^2*T2^8 - 2028*T1^3*T2^8 - 
      6056*T1^4*T2^8 + 8319*T1^5*T2^8 - 665*T1^6*T2^8 - 5253*T1^7*T2^8 + 
      9415*T1^8*T2^8 - 4801*T1^9*T2^8 - 2656*T1^10*T2^8 + 4932*T1^11*T2^8 + 
      163*T1^12*T2^8 - 4593*T1^3*T2^9 + 6372*T1^4*T2^9 - 1260*T1^5*T2^9 - 
      6220*T1^6*T2^9 + 7809*T1^7*T2^9 - 4801*T1^8*T2^9 - 2406*T1^9*T2^9 + 
      6370*T1^10*T2^9 - 4188*T1^11*T2^9 - 165*T1^12*T2^9 + 2683*T1^4*T2^10 - 
      6112*T1^5*T2^10 + 6472*T1^6*T2^10 - 2450*T1^7*T2^10 - 2656*T1^8*T2^10 + 
      6370*T1^9*T2^10 - 5708*T1^10*T2^10 + 2288*T1^11*T2^10 + 
      163*T1^12*T2^10 - 841*T1^5*T2^11 + 2568*T1^6*T2^11 - 4312*T1^7*T2^11 + 
      4932*T1^8*T2^11 - 4188*T1^9*T2^11 + 2288*T1^10*T2^11 - 
      552*T1^11*T2^11 - 121*T1^12*T2^11 + 51*T1^6*T2^12 - 121*T1^7*T2^12 + 
      163*T1^8*T2^12 - 165*T1^9*T2^12 + 163*T1^10*T2^12 - 121*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 95] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (-111 + 666*T1 - 1702*T1^2 + 2255*T1^3 - 1702*T1^4 + 666*T1^5 - 111*T1^6 + 
     666*T2 - 3494*T1*T2 + 7195*T1^2*T2 - 5808*T1^3*T2 - 30*T1^4*T2 + 
     3739*T1^5*T2 - 2360*T1^6*T2 + 504*T1^7*T2 - 1702*T2^2 + 7195*T1*T2^2 - 
     8823*T1^2*T2^2 - 6684*T1^3*T2^2 + 22173*T1^4*T2^2 - 18552*T1^5*T2^2 + 
     3045*T1^6*T2^2 + 2227*T1^7*T2^2 - 874*T1^8*T2^2 + 2255*T2^3 - 
     5808*T1*T2^3 - 6684*T1^2*T2^3 + 42429*T1^3*T2^3 - 46072*T1^4*T2^3 + 
     7388*T1^5*T2^3 + 24573*T1^6*T2^3 - 14550*T1^7*T2^3 + 1590*T1^8*T2^3 + 
     608*T1^9*T2^3 - 1702*T2^4 - 30*T1*T2^4 + 22173*T1^2*T2^4 - 
     46072*T1^3*T2^4 - 3101*T1^4*T2^4 + 72531*T1^5*T2^4 - 73793*T1^6*T2^4 + 
     14684*T1^7*T2^4 + 8037*T1^8*T2^4 - 3378*T1^9*T2^4 - 46*T1^10*T2^4 + 
     666*T2^5 + 3739*T1*T2^5 - 18552*T1^2*T2^5 + 7388*T1^3*T2^5 + 
     72531*T1^4*T2^5 - 106798*T1^5*T2^5 + 40138*T1^6*T2^5 + 39503*T1^7*T2^5 - 
     31480*T1^8*T2^5 + 5322*T1^9*T2^5 + 1147*T1^10*T2^5 - 144*T1^11*T2^5 - 
     111*T2^6 - 2360*T1*T2^6 + 3045*T1^2*T2^6 + 24573*T1^3*T2^6 - 
     73793*T1^4*T2^6 + 40138*T1^5*T2^6 + 52368*T1^6*T2^6 - 87082*T1^7*T2^6 + 
     31611*T1^8*T2^6 + 4719*T1^9*T2^6 - 5103*T1^10*T2^6 + 556*T1^11*T2^6 + 
     51*T1^12*T2^6 + 504*T1*T2^7 + 2227*T1^2*T2^7 - 14550*T1^3*T2^7 + 
     14684*T1^4*T2^7 + 39503*T1^5*T2^7 - 87082*T1^6*T2^7 + 59854*T1^7*T2^7 + 
     6475*T1^8*T2^7 - 24184*T1^9*T2^7 + 9324*T1^10*T2^7 - 365*T1^11*T2^7 - 
     306*T1^12*T2^7 - 874*T1^2*T2^8 + 1590*T1^3*T2^8 + 8037*T1^4*T2^8 - 
     31480*T1^5*T2^8 + 31611*T1^6*T2^8 + 6475*T1^7*T2^8 - 39081*T1^8*T2^8 + 
     29276*T1^9*T2^8 - 6099*T1^10*T2^8 - 1758*T1^11*T2^8 + 782*T1^12*T2^8 + 
     608*T1^3*T2^9 - 3378*T1^4*T2^9 + 5322*T1^5*T2^9 + 4719*T1^6*T2^9 - 
     24184*T1^7*T2^9 + 29276*T1^8*T2^9 - 13137*T1^9*T2^9 - 2544*T1^10*T2^9 + 
     4020*T1^11*T2^9 - 1039*T1^12*T2^9 - 46*T1^4*T2^10 + 1147*T1^5*T2^10 - 
     5103*T1^6*T2^10 + 9324*T1^7*T2^10 - 6099*T1^8*T2^10 - 2544*T1^9*T2^10 + 
     6765*T1^10*T2^10 - 3821*T1^11*T2^10 + 782*T1^12*T2^10 - 144*T1^5*T2^11 + 
     556*T1^6*T2^11 - 365*T1^7*T2^11 - 1758*T1^8*T2^11 + 4020*T1^9*T2^11 - 
     3821*T1^10*T2^11 + 1690*T1^11*T2^11 - 306*T1^12*T2^11 + 51*T1^6*T2^12 - 
     306*T1^7*T2^12 + 782*T1^8*T2^12 - 1039*T1^9*T2^12 + 782*T1^10*T2^12 - 
     306*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 96] -> 
  {(5 - 15*T + 24*T^2 - 27*T^3 + 24*T^4 - 15*T^5 + 5*T^6)/T^3, 
   -((790 - 2350*T1 + 3750*T1^2 - 4214*T1^3 + 3750*T1^4 - 2350*T1^5 + 
      790*T1^6 - 2350*T2 + 5029*T1*T2 - 5304*T1^2*T2 + 3186*T1^3*T2 - 
      639*T1^4*T2 - 2379*T1^5*T2 + 3529*T1^6*T2 - 1975*T1^7*T2 + 3750*T2^2 - 
      5304*T1*T2^2 + 2716*T1^2*T2^2 + 772*T1^3*T2^2 - 2090*T1^4*T2^2 + 
      3652*T1^5*T2^2 - 1844*T1^6*T2^2 - 1704*T1^7*T2^2 + 2550*T1^8*T2^2 - 
      4214*T2^3 + 3186*T1*T2^3 + 772*T1^2*T2^3 - 2527*T1^3*T2^3 + 
      1054*T1^4*T2^3 - 1511*T1^5*T2^3 - 1447*T1^6*T2^3 + 3292*T1^7*T2^3 - 
      1089*T1^8*T2^3 - 2189*T1^9*T2^3 + 3750*T2^4 - 639*T1*T2^4 - 
      2090*T1^2*T2^4 + 1054*T1^3*T2^4 + 1627*T1^4*T2^4 - 333*T1^5*T2^4 + 
      2227*T1^6*T2^4 - 1376*T1^7*T2^4 - 1460*T1^8*T2^4 + 2511*T1^9*T2^4 + 
      1350*T1^10*T2^4 - 2350*T2^5 - 2379*T1*T2^5 + 3652*T1^2*T2^5 - 
      1511*T1^3*T2^5 - 333*T1^4*T2^5 - 1727*T1^5*T2^5 - 155*T1^6*T2^5 - 
      621*T1^7*T2^5 + 1324*T1^8*T2^5 - 308*T1^9*T2^5 - 2604*T1^10*T2^5 - 
      475*T1^11*T2^5 + 790*T2^6 + 3529*T1*T2^6 - 1844*T1^2*T2^6 - 
      1447*T1^3*T2^6 + 2227*T1^4*T2^6 - 155*T1^5*T2^6 + 2076*T1^6*T2^6 - 
      1181*T1^7*T2^6 + 1039*T1^8*T2^6 - 1717*T1^9*T2^6 + 2296*T1^10*T2^6 + 
      1279*T1^11*T2^6 + 40*T1^12*T2^6 - 1975*T1*T2^7 - 1704*T1^2*T2^7 + 
      3292*T1^3*T2^7 - 1376*T1^4*T2^7 - 621*T1^5*T2^7 - 1181*T1^6*T2^7 + 
      391*T1^7*T2^7 - 909*T1^8*T2^7 + 1459*T1^9*T2^7 - 668*T1^10*T2^7 - 
      1929*T1^11*T2^7 - 100*T1^12*T2^7 + 2550*T1^2*T2^8 - 1089*T1^3*T2^8 - 
      1460*T1^4*T2^8 + 1324*T1^5*T2^8 + 1039*T1^6*T2^8 - 909*T1^7*T2^8 + 
      1639*T1^8*T2^8 - 1106*T1^9*T2^8 - 830*T1^10*T2^8 + 2061*T1^11*T2^8 + 
      150*T1^12*T2^8 - 2189*T1^3*T2^9 + 2511*T1^4*T2^9 - 308*T1^5*T2^9 - 
      1717*T1^6*T2^9 + 1459*T1^7*T2^9 - 1106*T1^8*T2^9 - 637*T1^9*T2^9 + 
      2212*T1^10*T2^9 - 1764*T1^11*T2^9 - 164*T1^12*T2^9 + 1350*T1^4*T2^10 - 
      2604*T1^5*T2^10 + 2296*T1^6*T2^10 - 668*T1^7*T2^10 - 830*T1^8*T2^10 + 
      2212*T1^9*T2^10 - 2264*T1^10*T2^10 + 996*T1^11*T2^10 + 
      150*T1^12*T2^10 - 475*T1^5*T2^11 + 1279*T1^6*T2^11 - 1929*T1^7*T2^11 + 
      2061*T1^8*T2^11 - 1764*T1^9*T2^11 + 996*T1^10*T2^11 - 221*T1^11*T2^11 - 
      100*T1^12*T2^11 + 40*T1^6*T2^12 - 100*T1^7*T2^12 + 150*T1^8*T2^12 - 
      164*T1^9*T2^12 + 150*T1^10*T2^12 - 100*T1^11*T2^12 + 40*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 97] -> 
  {(10 - 32*T + 45*T^2 - 32*T^3 + 10*T^4)/T^2, 
   -((4445 - 14079*T1 + 19757*T1^2 - 14079*T1^3 + 4445*T1^4 - 14079*T2 + 
      33794*T1*T2 - 28286*T1^2*T2 - 3646*T1^3*T2 + 20354*T1^4*T2 - 
      10879*T1^5*T2 + 19757*T2^2 - 28286*T1*T2^2 - 10726*T1^2*T2^2 + 
      57304*T1^3*T2^2 - 42226*T1^4*T2^2 + 514*T1^5*T2^2 + 10757*T1^6*T2^2 - 
      14079*T2^3 - 3646*T1*T2^3 + 57304*T1^2*T2^3 - 68352*T1^3*T2^3 + 
      2208*T1^4*T2^3 + 40024*T1^5*T2^3 - 19966*T1^6*T2^3 - 4479*T1^7*T2^3 + 
      4445*T2^4 + 20354*T1*T2^4 - 42226*T1^2*T2^4 + 2208*T1^3*T2^4 + 
      64560*T1^4*T2^4 - 56672*T1^5*T2^4 + 5310*T1^6*T2^4 + 12674*T1^7*T2^4 + 
      445*T1^8*T2^4 - 10879*T1*T2^5 + 514*T1^2*T2^5 + 40024*T1^3*T2^5 - 
      56672*T1^4*T2^5 + 13888*T1^5*T2^5 + 22744*T1^6*T2^5 - 15806*T1^7*T2^5 - 
      1279*T1^8*T2^5 + 10757*T1^2*T2^6 - 19966*T1^3*T2^6 + 5310*T1^4*T2^6 + 
      22744*T1^5*T2^6 - 26190*T1^6*T2^6 + 8834*T1^7*T2^6 + 1757*T1^8*T2^6 - 
      4479*T1^3*T2^7 + 12674*T1^4*T2^7 - 15806*T1^5*T2^7 + 8834*T1^6*T2^7 - 
      766*T1^7*T2^7 - 1279*T1^8*T2^7 + 445*T1^4*T2^8 - 1279*T1^5*T2^8 + 
      1757*T1^6*T2^8 - 1279*T1^7*T2^8 + 445*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 98] -> 
  {-((1 - 7*T + 22*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 205*T1^3 - 245*T1^4 + 205*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      819*T1^3*T2 + 567*T1^4*T2 - 63*T1^5*T2 - 378*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1115*T1^2*T2^2 + 
      663*T1^3*T2^2 + 1190*T1^4*T2^2 - 2387*T1^5*T2^2 + 2378*T1^6*T2^2 - 
      833*T1^7*T2^2 - 191*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      205*T2^3 - 819*T1*T2^3 + 663*T1^2*T2^3 + 1995*T1^3*T2^3 - 
      5632*T1^4*T2^3 + 4667*T1^5*T2^3 - 1444*T1^6*T2^3 - 2818*T1^7*T2^3 + 
      2695*T1^8*T2^3 - 811*T1^9*T2^3 - 112*T1^10*T2^3 + 82*T1^11*T2^3 - 
      245*T2^4 + 567*T1*T2^4 + 1190*T1^2*T2^4 - 5632*T1^3*T2^4 + 
      7075*T1^4*T2^4 + 1132*T1^5*T2^4 - 7339*T1^6*T2^4 + 9966*T1^7*T2^4 - 
      3033*T1^8*T2^4 - 1614*T1^9*T2^4 + 1484*T1^10*T2^4 - 231*T1^11*T2^4 - 
      49*T1^12*T2^4 + 205*T2^5 - 63*T1*T2^5 - 2387*T1^2*T2^5 + 
      4667*T1^3*T2^5 + 1132*T1^4*T2^5 - 15090*T1^5*T2^5 + 14895*T1^6*T2^5 - 
      7403*T1^7*T2^5 - 7278*T1^8*T2^5 + 8147*T1^9*T2^5 - 2350*T1^10*T2^5 - 
      596*T1^11*T2^5 + 343*T1^12*T2^5 - 110*T2^6 - 378*T1*T2^6 + 
      2378*T1^2*T2^6 - 1444*T1^3*T2^6 - 7339*T1^4*T2^6 + 14895*T1^5*T2^6 - 
      T1^6*T2^6 - 13697*T1^7*T2^6 + 21951*T1^8*T2^6 - 8717*T1^9*T2^6 - 
      2663*T1^10*T2^6 + 3308*T1^11*T2^6 - 598*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 833*T1^2*T2^7 - 
      2818*T1^3*T2^7 + 9966*T1^4*T2^7 - 7403*T1^5*T2^7 - 13697*T1^6*T2^7 + 
      19664*T1^7*T2^7 - 12606*T1^8*T2^7 - 7404*T1^9*T2^7 + 12267*T1^10*T2^7 - 
      4325*T1^11*T2^7 - 816*T1^12*T2^7 + 773*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 191*T1^2*T2^8 + 2695*T1^3*T2^8 - 
      3033*T1^4*T2^8 - 7278*T1^5*T2^8 + 21951*T1^6*T2^8 - 12606*T1^7*T2^8 - 
      5376*T1^8*T2^8 + 18462*T1^9*T2^8 - 11307*T1^10*T2^8 - 1974*T1^11*T2^8 + 
      4363*T1^12*T2^8 - 1355*T1^13*T2^8 - 137*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 811*T1^3*T2^9 - 
      1614*T1^4*T2^9 + 8147*T1^5*T2^9 - 8717*T1^6*T2^9 - 7404*T1^7*T2^9 + 
      18462*T1^8*T2^9 - 13808*T1^9*T2^9 - 1111*T1^10*T2^9 + 
      10953*T1^11*T2^9 - 6144*T1^12*T2^9 + 388*T1^13*T2^9 + 795*T1^14*T2^9 - 
      161*T1^15*T2^9 - 21*T1^16*T2^9 - 66*T1^2*T2^10 - 112*T1^3*T2^10 + 
      1484*T1^4*T2^10 - 2350*T1^5*T2^10 - 2663*T1^6*T2^10 + 
      12267*T1^7*T2^10 - 11307*T1^8*T2^10 - 1111*T1^9*T2^10 + 
      10645*T1^10*T2^10 - 11345*T1^11*T2^10 + 2013*T1^12*T2^10 + 
      2402*T1^13*T2^10 - 1492*T1^14*T2^10 + 112*T1^15*T2^10 + 
      66*T1^16*T2^10 + 82*T1^3*T2^11 - 231*T1^4*T2^11 - 596*T1^5*T2^11 + 
      3308*T1^6*T2^11 - 4325*T1^7*T2^11 - 1974*T1^8*T2^11 + 
      10953*T1^9*T2^11 - 11345*T1^10*T2^11 + 5838*T1^11*T2^11 + 
      2690*T1^12*T2^11 - 3709*T1^13*T2^11 + 1195*T1^14*T2^11 + 
      175*T1^15*T2^11 - 123*T1^16*T2^11 - 49*T1^4*T2^12 + 343*T1^5*T2^12 - 
      598*T1^6*T2^12 - 816*T1^7*T2^12 + 4363*T1^8*T2^12 - 6144*T1^9*T2^12 + 
      2013*T1^10*T2^12 + 2690*T1^11*T2^12 - 5745*T1^12*T2^12 + 
      3202*T1^13*T2^12 - 304*T1^14*T2^12 - 455*T1^15*T2^12 + 
      147*T1^16*T2^12 - 154*T1^6*T2^13 + 773*T1^7*T2^13 - 1355*T1^8*T2^13 + 
      388*T1^9*T2^13 + 2402*T1^10*T2^13 - 3709*T1^11*T2^13 + 
      3202*T1^12*T2^13 - 655*T1^13*T2^13 - 701*T1^14*T2^13 + 
      553*T1^15*T2^13 - 123*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      137*T1^8*T2^14 + 795*T1^9*T2^14 - 1492*T1^10*T2^14 + 1195*T1^11*T2^14 - 
      304*T1^12*T2^14 - 701*T1^13*T2^14 + 787*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      112*T1^10*T2^15 + 175*T1^11*T2^15 - 455*T1^12*T2^15 + 553*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 123*T1^11*T2^16 + 147*T1^12*T2^16 - 
      123*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 99] -> 
  {(1 - 7*T + 24*T^2 - 47*T^3 + 59*T^4 - 47*T^5 + 24*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 188*T1^3 - 236*T1^4 + 188*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 812*T1^3*T2 + 
     665*T1^4*T2 - 77*T1^5*T2 - 315*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1324*T1^2*T2^2 + 1327*T1^3*T2^2 + 
     77*T1^4*T2^2 - 1884*T1^5*T2^2 + 1757*T1^6*T2^2 - 593*T1^7*T2^2 - 
     220*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 188*T2^3 - 812*T1*T2^3 + 
     1327*T1^2*T2^3 + 919*T1^3*T2^3 - 4806*T1^4*T2^3 + 6206*T1^5*T2^3 - 
     1591*T1^6*T2^3 - 2184*T1^7*T2^3 + 2479*T1^8*T2^3 - 713*T1^9*T2^3 + 
     7*T1^10*T2^3 + 47*T1^11*T2^3 - 236*T2^4 + 665*T1*T2^4 + 77*T1^2*T2^4 - 
     4806*T1^3*T2^4 + 7124*T1^4*T2^4 - 1051*T1^5*T2^4 - 11516*T1^6*T2^4 + 
     12539*T1^7*T2^4 - 5508*T1^8*T2^4 - 764*T1^9*T2^4 + 1135*T1^10*T2^4 - 
     329*T1^11*T2^4 + 188*T2^5 - 77*T1*T2^5 - 1884*T1^2*T2^5 + 
     6206*T1^3*T2^5 - 1051*T1^4*T2^5 - 14428*T1^5*T2^5 + 26500*T1^6*T2^5 - 
     12384*T1^7*T2^5 - 4834*T1^8*T2^5 + 9588*T1^9*T2^5 - 3461*T1^10*T2^5 + 
     21*T1^11*T2^5 + 329*T1^12*T2^5 - 47*T1^13*T2^5 - 96*T2^6 - 315*T1*T2^6 + 
     1757*T1^2*T2^6 - 1591*T1^3*T2^6 - 11516*T1^4*T2^6 + 26500*T1^5*T2^6 - 
     21597*T1^6*T2^6 - 12195*T1^7*T2^6 + 28195*T1^8*T2^6 - 17220*T1^9*T2^6 + 
     264*T1^10*T2^6 + 3401*T1^11*T2^6 - 1167*T1^12*T2^6 - 7*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 593*T1^2*T2^7 - 2184*T1^3*T2^7 + 
     12539*T1^4*T2^7 - 12384*T1^5*T2^7 - 12195*T1^6*T2^7 + 44374*T1^7*T2^7 - 
     34948*T1^8*T2^7 + 488*T1^9*T2^7 + 16828*T1^10*T2^7 - 9904*T1^11*T2^7 + 
     874*T1^12*T2^7 + 727*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 220*T1^2*T2^8 + 2479*T1^3*T2^8 - 5508*T1^4*T2^8 - 
     4834*T1^5*T2^8 + 28195*T1^6*T2^8 - 34948*T1^7*T2^8 + 864*T1^8*T2^8 + 
     34228*T1^9*T2^8 - 28519*T1^10*T2^8 + 5462*T1^11*T2^8 + 5516*T1^12*T2^8 - 
     2551*T1^13*T2^8 + 218*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 713*T1^3*T2^9 - 764*T1^4*T2^9 + 
     9588*T1^5*T2^9 - 17220*T1^6*T2^9 + 488*T1^7*T2^9 + 34228*T1^8*T2^9 - 
     45094*T1^9*T2^9 + 13171*T1^10*T2^9 + 11992*T1^11*T2^9 - 
     12855*T1^12*T2^9 + 2294*T1^13*T2^9 + 607*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 + 7*T1^3*T2^10 + 1135*T1^4*T2^10 - 
     3461*T1^5*T2^10 + 264*T1^6*T2^10 + 16828*T1^7*T2^10 - 28519*T1^8*T2^10 + 
     13171*T1^9*T2^10 + 21273*T1^10*T2^10 - 26892*T1^11*T2^10 + 
     12044*T1^12*T2^10 + 1531*T1^13*T2^10 - 1789*T1^14*T2^10 + 
     315*T1^15*T2^10 + 96*T1^16*T2^10 + 47*T1^3*T2^11 - 329*T1^4*T2^11 + 
     21*T1^5*T2^11 + 3401*T1^6*T2^11 - 9904*T1^7*T2^11 + 5462*T1^8*T2^11 + 
     11992*T1^9*T2^11 - 26892*T1^10*T2^11 + 15056*T1^11*T2^11 + 
     735*T1^12*T2^11 - 6266*T1^13*T2^11 + 1926*T1^14*T2^11 + 77*T1^15*T2^11 - 
     188*T1^16*T2^11 + 329*T1^5*T2^12 - 1167*T1^6*T2^12 + 874*T1^7*T2^12 + 
     5516*T1^8*T2^12 - 12855*T1^9*T2^12 + 12044*T1^10*T2^12 + 
     735*T1^11*T2^12 - 7116*T1^12*T2^12 + 4916*T1^13*T2^12 - 
     109*T1^14*T2^12 - 665*T1^15*T2^12 + 236*T1^16*T2^12 - 47*T1^5*T2^13 - 
     7*T1^6*T2^13 + 727*T1^7*T2^13 - 2551*T1^8*T2^13 + 2294*T1^9*T2^13 + 
     1531*T1^10*T2^13 - 6266*T1^11*T2^13 + 4916*T1^12*T2^13 - 
     991*T1^13*T2^13 - 1313*T1^14*T2^13 + 812*T1^15*T2^13 - 188*T1^16*T2^13 + 
     48*T1^6*T2^14 - 189*T1^7*T2^14 + 218*T1^8*T2^14 + 607*T1^9*T2^14 - 
     1789*T1^10*T2^14 + 1926*T1^11*T2^14 - 109*T1^12*T2^14 - 
     1313*T1^13*T2^14 + 1322*T1^14*T2^14 - 525*T1^15*T2^14 + 96*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 315*T1^10*T2^15 + 
     77*T1^11*T2^15 - 665*T1^12*T2^15 + 812*T1^13*T2^15 - 525*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     96*T1^10*T2^16 - 188*T1^11*T2^16 + 236*T1^12*T2^16 - 188*T1^13*T2^16 + 
     96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 100] -> 
  {-(((-3 + 6*T - 5*T^2 + T^3)*(-1 + 5*T - 6*T^2 + 3*T^3))/T^3), 
   -((-78 + 546*T1 - 1381*T1^2 + 1850*T1^3 - 1381*T1^4 + 546*T1^5 - 78*T1^6 + 
      546*T2 - 3467*T1*T2 + 7171*T1^2*T2 - 6625*T1^3*T2 + 1187*T1^4*T2 + 
      2509*T1^5*T2 - 1955*T1^6*T2 + 357*T1^7*T2 - 1381*T2^2 + 7171*T1*T2^2 - 
      7425*T1^2*T2^2 - 8393*T1^3*T2^2 + 27071*T1^4*T2^2 - 24293*T1^5*T2^2 + 
      8475*T1^6*T2^2 + 493*T1^7*T2^2 - 427*T1^8*T2^2 + 1850*T2^3 - 
      6625*T1*T2^3 - 8393*T1^2*T2^3 + 46900*T1^3*T2^3 - 63634*T1^4*T2^3 + 
      27092*T1^5*T2^3 + 11824*T1^6*T2^3 - 15548*T1^7*T2^3 + 3455*T1^8*T2^3 - 
      67*T1^9*T2^3 - 1381*T2^4 + 1187*T1*T2^4 + 27071*T1^2*T2^4 - 
      63634*T1^3*T2^4 + 39205*T1^4*T2^4 + 43939*T1^5*T2^4 - 78095*T1^6*T2^4 + 
      40310*T1^7*T2^4 - 1843*T1^8*T2^4 - 3223*T1^9*T2^4 + 527*T1^10*T2^4 + 
      546*T2^5 + 2509*T1*T2^5 - 24293*T1^2*T2^5 + 27092*T1^3*T2^5 + 
      43939*T1^4*T2^5 - 126779*T1^5*T2^5 + 100307*T1^6*T2^5 - 
      4132*T1^7*T2^5 - 37198*T1^8*T2^5 + 17842*T1^9*T2^5 - 893*T1^10*T2^5 - 
      399*T1^11*T2^5 - 78*T2^6 - 1955*T1*T2^6 + 8475*T1^2*T2^6 + 
      11824*T1^3*T2^6 - 78095*T1^4*T2^6 + 100307*T1^5*T2^6 - 8460*T1^6*T2^6 - 
      93527*T1^7*T2^6 + 80423*T1^8*T2^6 - 16496*T1^9*T2^6 - 8853*T1^10*T2^6 + 
      2203*T1^11*T2^6 + 84*T1^12*T2^6 + 357*T1*T2^7 + 493*T1^2*T2^7 - 
      15548*T1^3*T2^7 + 40310*T1^4*T2^7 - 4132*T1^5*T2^7 - 93527*T1^6*T2^7 + 
      133559*T1^7*T2^7 - 52203*T1^8*T2^7 - 23980*T1^9*T2^7 + 
      26587*T1^10*T2^7 - 2909*T1^11*T2^7 - 588*T1^12*T2^7 - 427*T1^2*T2^8 + 
      3455*T1^3*T2^8 - 1843*T1^4*T2^8 - 37198*T1^5*T2^8 + 80423*T1^6*T2^8 - 
      52203*T1^7*T2^8 - 36877*T1^8*T2^8 + 66746*T1^9*T2^8 - 
      30757*T1^10*T2^8 - 955*T1^11*T2^8 + 1481*T1^12*T2^8 - 67*T1^3*T2^9 - 
      3223*T1^4*T2^9 + 17842*T1^5*T2^9 - 16496*T1^6*T2^9 - 23980*T1^7*T2^9 + 
      66746*T1^8*T2^9 - 51572*T1^9*T2^9 + 10687*T1^10*T2^9 + 
      6857*T1^11*T2^9 - 1984*T1^12*T2^9 + 527*T1^4*T2^10 - 893*T1^5*T2^10 - 
      8853*T1^6*T2^10 + 26587*T1^7*T2^10 - 30757*T1^8*T2^10 + 
      10687*T1^9*T2^10 + 7047*T1^10*T2^10 - 7571*T1^11*T2^10 + 
      1481*T1^12*T2^10 - 399*T1^5*T2^11 + 2203*T1^6*T2^11 - 2909*T1^7*T2^11 - 
      955*T1^8*T2^11 + 6857*T1^9*T2^11 - 7571*T1^10*T2^11 + 
      3715*T1^11*T2^11 - 588*T1^12*T2^11 + 84*T1^6*T2^12 - 588*T1^7*T2^12 + 
      1481*T1^8*T2^12 - 1984*T1^9*T2^12 + 1481*T1^10*T2^12 - 
      588*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 101] -> 
  {(1 - 7*T + 25*T^2 - 50*T^3 + 63*T^4 - 50*T^5 + 25*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 100*T1^2 + 200*T1^3 - 252*T1^4 + 200*T1^5 - 100*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 553*T1^2*T2 - 875*T1^3*T2 + 
     714*T1^4*T2 - 77*T1^5*T2 - 350*T1^6*T2 + 329*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 100*T2^2 + 553*T1*T2^2 - 1521*T1^2*T2^2 + 1665*T1^3*T2^2 - 
     180*T1^4*T2^2 - 1787*T1^5*T2^2 + 1720*T1^6*T2^2 - 485*T1^7*T2^2 - 
     321*T1^8*T2^2 + 203*T1^9*T2^2 - 50*T1^10*T2^2 + 200*T2^3 - 875*T1*T2^3 + 
     1665*T1^2*T2^3 + 807*T1^3*T2^3 - 5351*T1^4*T2^3 + 6883*T1^5*T2^3 - 
     1642*T1^6*T2^3 - 2726*T1^7*T2^3 + 2857*T1^8*T2^3 - 685*T1^9*T2^3 + 
     50*T1^11*T2^3 - 252*T2^4 + 714*T1*T2^4 - 180*T1^2*T2^4 - 
     5351*T1^3*T2^4 + 7611*T1^4*T2^4 + 824*T1^5*T2^4 - 15995*T1^6*T2^4 + 
     16588*T1^7*T2^4 - 6865*T1^8*T2^4 - 1151*T1^9*T2^4 + 1220*T1^10*T2^4 - 
     350*T1^11*T2^4 + 200*T2^5 - 77*T1*T2^5 - 1787*T1^2*T2^5 + 
     6883*T1^3*T2^5 + 824*T1^4*T2^5 - 21233*T1^5*T2^5 + 34777*T1^6*T2^5 - 
     15248*T1^7*T2^5 - 7343*T1^8*T2^5 + 12547*T1^9*T2^5 - 3692*T1^10*T2^5 - 
     26*T1^11*T2^5 + 350*T1^12*T2^5 - 50*T1^13*T2^5 - 100*T2^6 - 
     350*T1*T2^6 + 1720*T1^2*T2^6 - 1642*T1^3*T2^6 - 15995*T1^4*T2^6 + 
     34777*T1^5*T2^6 - 26361*T1^6*T2^6 - 17537*T1^7*T2^6 + 36739*T1^8*T2^6 - 
     21373*T1^9*T2^6 - 945*T1^10*T2^6 + 3808*T1^11*T2^6 - 1180*T1^12*T2^6 + 
     50*T1^14*T2^6 + 28*T2^7 + 329*T1*T2^7 - 485*T1^2*T2^7 - 2726*T1^3*T2^7 + 
     16588*T1^4*T2^7 - 15248*T1^5*T2^7 - 17537*T1^6*T2^7 + 58436*T1^7*T2^7 - 
     43872*T1^8*T2^7 - 387*T1^9*T2^7 + 22527*T1^10*T2^7 - 11299*T1^11*T2^7 + 
     949*T1^12*T2^7 + 665*T1^13*T2^7 - 203*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 321*T1^2*T2^8 + 2857*T1^3*T2^8 - 6865*T1^4*T2^8 - 
     7343*T1^5*T2^8 + 36739*T1^6*T2^8 - 43872*T1^7*T2^8 - 2592*T1^8*T2^8 + 
     45628*T1^9*T2^8 - 37761*T1^10*T2^8 + 5779*T1^11*T2^8 + 6439*T1^12*T2^8 - 
     2693*T1^13*T2^8 + 321*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 203*T1^2*T2^9 - 685*T1^3*T2^9 - 1151*T1^4*T2^9 + 
     12547*T1^5*T2^9 - 21373*T1^6*T2^9 - 387*T1^7*T2^9 + 45628*T1^8*T2^9 - 
     56680*T1^9*T2^9 + 16763*T1^10*T2^9 + 16402*T1^11*T2^9 - 
     15340*T1^12*T2^9 + 2524*T1^13*T2^9 + 465*T1^14*T2^9 - 329*T1^15*T2^9 - 
     28*T1^16*T2^9 - 50*T1^2*T2^10 + 1220*T1^4*T2^10 - 3692*T1^5*T2^10 - 
     945*T1^6*T2^10 + 22527*T1^7*T2^10 - 37761*T1^8*T2^10 + 
     16763*T1^9*T2^10 + 25339*T1^10*T2^10 - 33623*T1^11*T2^10 + 
     14105*T1^12*T2^10 + 1758*T1^13*T2^10 - 1680*T1^14*T2^10 + 
     350*T1^15*T2^10 + 100*T1^16*T2^10 + 50*T1^3*T2^11 - 350*T1^4*T2^11 - 
     26*T1^5*T2^11 + 3808*T1^6*T2^11 - 11299*T1^7*T2^11 + 5779*T1^8*T2^11 + 
     16402*T1^9*T2^11 - 33623*T1^10*T2^11 + 19669*T1^11*T2^11 + 
     424*T1^12*T2^11 - 6767*T1^13*T2^11 + 1735*T1^14*T2^11 + 77*T1^15*T2^11 - 
     200*T1^16*T2^11 + 350*T1^5*T2^12 - 1180*T1^6*T2^12 + 949*T1^7*T2^12 + 
     6439*T1^8*T2^12 - 15340*T1^9*T2^12 + 14105*T1^10*T2^12 + 
     424*T1^11*T2^12 - 8037*T1^12*T2^12 + 5149*T1^13*T2^12 + 
     220*T1^14*T2^12 - 714*T1^15*T2^12 + 252*T1^16*T2^12 - 50*T1^5*T2^13 + 
     665*T1^7*T2^13 - 2693*T1^8*T2^13 + 2524*T1^9*T2^13 + 1758*T1^10*T2^13 - 
     6767*T1^11*T2^13 + 5149*T1^12*T2^13 - 643*T1^13*T2^13 - 
     1685*T1^14*T2^13 + 875*T1^15*T2^13 - 200*T1^16*T2^13 + 50*T1^6*T2^14 - 
     203*T1^7*T2^14 + 321*T1^8*T2^14 + 465*T1^9*T2^14 - 1680*T1^10*T2^14 + 
     1735*T1^11*T2^14 + 220*T1^12*T2^14 - 1685*T1^13*T2^14 + 
     1521*T1^14*T2^14 - 553*T1^15*T2^14 + 100*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 329*T1^9*T2^15 + 350*T1^10*T2^15 + 77*T1^11*T2^15 - 
     714*T1^12*T2^15 + 875*T1^13*T2^15 - 553*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 100*T1^10*T2^16 - 
     200*T1^11*T2^16 + 252*T1^12*T2^16 - 200*T1^13*T2^16 + 100*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 102] -> 
  {(7 - 27*T + 53*T^2 - 65*T^3 + 53*T^4 - 27*T^5 + 7*T^6)/T^3, 
   -((2107 - 8031*T1 + 15667*T1^2 - 19165*T1^3 + 15667*T1^4 - 8031*T1^5 + 
      2107*T1^6 - 8031*T2 + 23999*T1*T2 - 34409*T1^2*T2 + 23470*T1^3*T2 + 
      1168*T1^4*T2 - 19289*T1^5*T2 + 17573*T1^6*T2 - 6708*T1^7*T2 + 
      15667*T2^2 - 34409*T1*T2^2 + 29483*T1^2*T2^2 + 9051*T1^3*T2^2 - 
      40793*T1^4*T2^2 + 37247*T1^5*T2^2 - 4649*T1^6*T2^2 - 14375*T1^7*T2^2 + 
      10473*T1^8*T2^2 - 19165*T2^3 + 23470*T1*T2^3 + 9051*T1^2*T2^3 - 
      57812*T1^3*T2^3 + 54318*T1^4*T2^3 - 5340*T1^5*T2^3 - 41612*T1^6*T2^3 + 
      32742*T1^7*T2^3 - 3368*T1^8*T2^3 - 9610*T1^9*T2^3 + 15667*T2^4 + 
      1168*T1*T2^4 - 40793*T1^2*T2^4 + 54318*T1^3*T2^4 + 7380*T1^4*T2^4 - 
      68668*T1^5*T2^4 + 72496*T1^6*T2^4 - 10682*T1^7*T2^4 - 24675*T1^8*T2^4 + 
      16666*T1^9*T2^4 + 5279*T1^10*T2^4 - 8031*T2^5 - 19289*T1*T2^5 + 
      37247*T1^2*T2^5 - 5340*T1^3*T2^5 - 68668*T1^4*T2^5 + 76851*T1^5*T2^5 - 
      18349*T1^6*T2^5 - 52079*T1^7*T2^5 + 43634*T1^8*T2^5 - 4464*T1^9*T2^5 - 
      14753*T1^10*T2^5 - 1416*T1^11*T2^5 + 2107*T2^6 + 17573*T1*T2^6 - 
      4649*T1^2*T2^6 - 41612*T1^3*T2^6 + 72496*T1^4*T2^6 - 18349*T1^5*T2^6 - 
      50448*T1^6*T2^6 + 68937*T1^7*T2^6 - 11974*T1^8*T2^6 - 25364*T1^9*T2^6 + 
      19175*T1^10*T2^6 + 5099*T1^11*T2^6 + 49*T1^12*T2^6 - 6708*T1*T2^7 - 
      14375*T1^2*T2^7 + 32742*T1^3*T2^7 - 10682*T1^4*T2^7 - 52079*T1^5*T2^7 + 
      68937*T1^6*T2^7 - 26263*T1^7*T2^7 - 35490*T1^8*T2^7 + 38292*T1^9*T2^7 - 
      8969*T1^10*T2^7 - 9839*T1^11*T2^7 - 93*T1^12*T2^7 + 10473*T1^2*T2^8 - 
      3368*T1^3*T2^8 - 24675*T1^4*T2^8 + 43634*T1^5*T2^8 - 11974*T1^6*T2^8 - 
      35490*T1^7*T2^8 + 53142*T1^8*T2^8 - 21366*T1^9*T2^8 - 8557*T1^10*T2^8 + 
      12130*T1^11*T2^8 + 85*T1^12*T2^8 - 9610*T1^3*T2^9 + 16666*T1^4*T2^9 - 
      4464*T1^5*T2^9 - 25364*T1^6*T2^9 + 38292*T1^7*T2^9 - 21366*T1^8*T2^9 - 
      9164*T1^9*T2^9 + 19227*T1^10*T2^9 - 10172*T1^11*T2^9 - 55*T1^12*T2^9 + 
      5279*T1^4*T2^10 - 14753*T1^5*T2^10 + 19175*T1^6*T2^10 - 
      8969*T1^7*T2^10 - 8557*T1^8*T2^10 + 19227*T1^9*T2^10 - 
      14957*T1^10*T2^10 + 5281*T1^11*T2^10 + 85*T1^12*T2^10 - 
      1416*T1^5*T2^11 + 5099*T1^6*T2^11 - 9839*T1^7*T2^11 + 
      12130*T1^8*T2^11 - 10172*T1^9*T2^11 + 5281*T1^10*T2^11 - 
      1327*T1^11*T2^11 - 93*T1^12*T2^11 + 49*T1^6*T2^12 - 93*T1^7*T2^12 + 
      85*T1^8*T2^12 - 55*T1^9*T2^12 + 85*T1^10*T2^12 - 93*T1^11*T2^12 + 
      49*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 103] -> 
  {(3 - 20*T + 52*T^2 - 69*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (-111 + 736*T1 - 1908*T1^2 + 2527*T1^3 - 1908*T1^4 + 736*T1^5 - 111*T1^6 + 
     736*T2 - 4328*T1*T2 + 8983*T1^2*T2 - 7234*T1^3*T2 + 26*T1^4*T2 + 
     4663*T1^5*T2 - 2948*T1^6*T2 + 556*T1^7*T2 - 1908*T2^2 + 8983*T1*T2^2 - 
     9412*T1^2*T2^2 - 13353*T1^3*T2^2 + 34396*T1^4*T2^2 - 28641*T1^5*T2^2 + 
     5876*T1^6*T2^2 + 2743*T1^7*T2^2 - 972*T1^8*T2^2 + 2527*T2^3 - 
     7234*T1*T2^3 - 13353*T1^2*T2^3 + 64717*T1^3*T2^3 - 68380*T1^4*T2^3 + 
     12748*T1^5*T2^3 + 34549*T1^6*T2^3 - 21725*T1^7*T2^3 + 2066*T1^8*T2^3 + 
     664*T1^9*T2^3 - 1908*T2^4 + 26*T1*T2^4 + 34396*T1^2*T2^4 - 
     68380*T1^3*T2^4 - 1386*T1^4*T2^4 + 100112*T1^5*T2^4 - 106050*T1^6*T2^4 + 
     23804*T1^7*T2^4 + 11644*T1^8*T2^4 - 4174*T1^9*T2^4 - 36*T1^10*T2^4 + 
     736*T2^5 + 4663*T1*T2^5 - 28641*T1^2*T2^5 + 12748*T1^3*T2^5 + 
     100112*T1^4*T2^5 - 152428*T1^5*T2^5 + 63980*T1^6*T2^5 + 
     50816*T1^7*T2^5 - 46268*T1^8*T2^5 + 7395*T1^9*T2^5 + 1303*T1^10*T2^5 - 
     164*T1^11*T2^5 - 111*T2^6 - 2948*T1*T2^6 + 5876*T1^2*T2^6 + 
     34549*T1^3*T2^6 - 106050*T1^4*T2^6 + 63980*T1^5*T2^6 + 66444*T1^6*T2^6 - 
     123692*T1^7*T2^6 + 51350*T1^8*T2^6 + 5863*T1^9*T2^6 - 7092*T1^10*T2^6 + 
     772*T1^11*T2^6 + 51*T1^12*T2^6 + 556*T1*T2^7 + 2743*T1^2*T2^7 - 
     21725*T1^3*T2^7 + 23804*T1^4*T2^7 + 50816*T1^5*T2^7 - 123692*T1^6*T2^7 + 
     92716*T1^7*T2^7 + 1520*T1^8*T2^7 - 35212*T1^9*T2^7 + 14311*T1^10*T2^7 - 
     617*T1^11*T2^7 - 344*T1^12*T2^7 - 972*T1^2*T2^8 + 2066*T1^3*T2^8 + 
     11644*T1^4*T2^8 - 46268*T1^5*T2^8 + 51350*T1^6*T2^8 + 1520*T1^7*T2^8 - 
     53314*T1^8*T2^8 + 45916*T1^9*T2^8 - 11108*T1^10*T2^8 - 2134*T1^11*T2^8 + 
     900*T1^12*T2^8 + 664*T1^3*T2^9 - 4174*T1^4*T2^9 + 7395*T1^5*T2^9 + 
     5863*T1^6*T2^9 - 35212*T1^7*T2^9 + 45916*T1^8*T2^9 - 24305*T1^9*T2^9 - 
     977*T1^10*T2^9 + 5126*T1^11*T2^9 - 1199*T1^12*T2^9 - 36*T1^4*T2^10 + 
     1303*T1^5*T2^10 - 7092*T1^6*T2^10 + 14311*T1^7*T2^10 - 
     11108*T1^8*T2^10 - 977*T1^9*T2^10 + 8196*T1^10*T2^10 - 
     4937*T1^11*T2^10 + 900*T1^12*T2^10 - 164*T1^5*T2^11 + 772*T1^6*T2^11 - 
     617*T1^7*T2^11 - 2134*T1^8*T2^11 + 5126*T1^9*T2^11 - 4937*T1^10*T2^11 + 
     2152*T1^11*T2^11 - 344*T1^12*T2^11 + 51*T1^6*T2^12 - 344*T1^7*T2^12 + 
     900*T1^8*T2^12 - 1199*T1^9*T2^12 + 900*T1^10*T2^12 - 344*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 104] -> 
  {(4 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3, 
   (-112 + 484*T1 - 1056*T1^2 + 1344*T1^3 - 1056*T1^4 + 484*T1^5 - 112*T1^6 + 
     484*T2 - 1874*T1*T2 + 3618*T1^2*T2 - 3754*T1^3*T2 + 1958*T1^4*T2 - 
     54*T1^5*T2 - 446*T1^6*T2 + 212*T1^7*T2 - 1056*T2^2 + 3618*T1*T2^2 - 
     5695*T1^2*T2^2 + 3183*T1^3*T2^2 + 2515*T1^4*T2^2 - 5697*T1^5*T2^2 + 
     4073*T1^6*T2^2 - 1414*T1^7*T2^2 + 128*T1^8*T2^2 + 1344*T2^3 - 
     3754*T1*T2^3 + 3183*T1^2*T2^3 + 4351*T1^3*T2^3 - 12202*T1^4*T2^3 + 
     10178*T1^5*T2^3 - 851*T1^6*T2^3 - 4476*T1^7*T2^3 + 3318*T1^8*T2^3 - 
     912*T1^9*T2^3 - 1056*T2^4 + 1958*T1*T2^4 + 2515*T1^2*T2^4 - 
     12202*T1^3*T2^4 + 15203*T1^4*T2^4 - 1549*T1^5*T2^4 - 13201*T1^6*T2^4 + 
     12708*T1^7*T2^4 - 2747*T1^8*T2^4 - 1714*T1^9*T2^4 + 1312*T1^10*T2^4 + 
     484*T2^5 - 54*T1*T2^5 - 5697*T1^2*T2^5 + 10178*T1^3*T2^5 - 
     1549*T1^4*T2^5 - 22056*T1^5*T2^5 + 29262*T1^6*T2^5 - 11798*T1^7*T2^5 - 
     7142*T1^8*T2^5 + 6846*T1^9*T2^5 - 1822*T1^10*T2^5 - 876*T1^11*T2^5 - 
     112*T2^6 - 446*T1*T2^6 + 4073*T1^2*T2^6 - 851*T1^3*T2^6 - 
     13201*T1^4*T2^6 + 29262*T1^5*T2^6 - 13764*T1^6*T2^6 - 16362*T1^7*T2^6 + 
     26373*T1^8*T2^6 - 9137*T1^9*T2^6 - 1075*T1^10*T2^6 + 2546*T1^11*T2^6 + 
     272*T1^12*T2^6 + 212*T1*T2^7 - 1414*T1^2*T2^7 - 4476*T1^3*T2^7 + 
     12708*T1^4*T2^7 - 11798*T1^5*T2^7 - 16362*T1^6*T2^7 + 34956*T1^7*T2^7 - 
     22047*T1^8*T2^7 - 4612*T1^9*T2^7 + 8067*T1^10*T2^7 - 3182*T1^11*T2^7 - 
     1148*T1^12*T2^7 + 128*T1^2*T2^8 + 3318*T1^3*T2^8 - 2747*T1^4*T2^8 - 
     7142*T1^5*T2^8 + 26373*T1^6*T2^8 - 22047*T1^7*T2^8 - 2031*T1^8*T2^8 + 
     17768*T1^9*T2^8 - 8009*T1^10*T2^8 - 354*T1^11*T2^8 + 2496*T1^12*T2^8 - 
     912*T1^3*T2^9 - 1714*T1^4*T2^9 + 6846*T1^5*T2^9 - 9137*T1^6*T2^9 - 
     4612*T1^7*T2^9 + 17768*T1^8*T2^9 - 14339*T1^9*T2^9 - 813*T1^10*T2^9 + 
     5358*T1^11*T2^9 - 3168*T1^12*T2^9 + 1312*T1^4*T2^10 - 1822*T1^5*T2^10 - 
     1075*T1^6*T2^10 + 8067*T1^7*T2^10 - 8009*T1^8*T2^10 - 813*T1^9*T2^10 + 
     8693*T1^10*T2^10 - 6854*T1^11*T2^10 + 2496*T1^12*T2^10 - 
     876*T1^5*T2^11 + 2546*T1^6*T2^11 - 3182*T1^7*T2^11 - 354*T1^8*T2^11 + 
     5358*T1^9*T2^11 - 6854*T1^10*T2^11 + 3974*T1^11*T2^11 - 
     1148*T1^12*T2^11 + 272*T1^6*T2^12 - 1148*T1^7*T2^12 + 2496*T1^8*T2^12 - 
     3168*T1^9*T2^12 + 2496*T1^10*T2^12 - 1148*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 105] -> 
  {-((1 - 7*T + 17*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 17*T^6 - 7*T^7 + T^8)/
     T^4), -((-7 + 49*T1 - 119*T1^2 + 182*T1^3 - 203*T1^4 + 182*T1^5 - 
      119*T1^6 + 49*T1^7 - 7*T1^8 + 49*T2 - 301*T1*T2 + 539*T1^2*T2 - 
      560*T1^3*T2 + 329*T1^4*T2 - 56*T1^5*T2 - 259*T1^6*T2 + 371*T1^7*T2 - 
      245*T1^8*T2 + 42*T1^9*T2 - 119*T2^2 + 539*T1*T2^2 - 70*T1^2*T2^2 - 
      1251*T1^3*T2^2 + 2652*T1^4*T2^2 - 3114*T1^5*T2^2 + 3060*T1^6*T2^2 - 
      1897*T1^7*T2^2 + 474*T1^8*T2^2 + 301*T1^9*T2^2 - 85*T1^10*T2^2 + 
      182*T2^3 - 560*T1*T2^3 - 1251*T1^2*T2^3 + 3267*T1^3*T2^3 - 
      3841*T1^4*T2^3 + 2269*T1^5*T2^3 - 922*T1^6*T2^3 - 1532*T1^7*T2^3 + 
      2517*T1^8*T2^3 - 1625*T1^9*T2^3 - 133*T1^10*T2^3 + 104*T1^11*T2^3 - 
      203*T2^4 + 329*T1*T2^4 + 2652*T1^2*T2^4 - 3841*T1^3*T2^4 + 
      2756*T1^4*T2^4 - 171*T1^5*T2^4 - 172*T1^6*T2^4 + 1993*T1^7*T2^4 - 
      912*T1^8*T2^4 - 1033*T1^9*T2^4 + 2076*T1^10*T2^4 - 119*T1^11*T2^4 - 
      87*T1^12*T2^4 + 182*T2^5 - 56*T1*T2^5 - 3114*T1^2*T2^5 + 
      2269*T1^3*T2^5 - 171*T1^4*T2^5 - 1647*T1^5*T2^5 + 14*T1^6*T2^5 - 
      1229*T1^7*T2^5 - 1055*T1^8*T2^5 + 1894*T1^9*T2^5 - 1168*T1^10*T2^5 - 
      1503*T1^11*T2^5 + 245*T1^12*T2^5 + 52*T1^13*T2^5 - 119*T2^6 - 
      259*T1*T2^6 + 3060*T1^2*T2^6 - 922*T1^3*T2^6 - 172*T1^4*T2^6 + 
      14*T1^5*T2^6 + 2573*T1^6*T2^6 - 543*T1^7*T2^6 + 2205*T1^8*T2^6 - 
      988*T1^9*T2^6 - 366*T1^10*T2^6 + 1900*T1^11*T2^6 + 684*T1^12*T2^6 - 
      245*T1^13*T2^6 - 17*T1^14*T2^6 + 49*T2^7 + 371*T1*T2^7 - 
      1897*T1^2*T2^7 - 1532*T1^3*T2^7 + 1993*T1^4*T2^7 - 1229*T1^5*T2^7 - 
      543*T1^6*T2^7 - 1910*T1^7*T2^7 - 250*T1^8*T2^7 - 625*T1^9*T2^7 + 
      496*T1^10*T2^7 - 468*T1^11*T2^7 - 1845*T1^12*T2^7 + 109*T1^13*T2^7 + 
      119*T1^14*T2^7 - 7*T2^8 - 245*T1*T2^8 + 474*T1^2*T2^8 + 
      2517*T1^3*T2^8 - 912*T1^4*T2^8 - 1055*T1^5*T2^8 + 2205*T1^6*T2^8 - 
      250*T1^7*T2^8 + 2508*T1^8*T2^8 - 1342*T1^9*T2^8 + 1377*T1^10*T2^8 - 
      1161*T1^11*T2^8 + 1864*T1^12*T2^8 + 567*T1^13*T2^8 - 292*T1^14*T2^8 - 
      7*T1^15*T2^8 + T1^16*T2^8 + 42*T1*T2^9 + 301*T1^2*T2^9 - 
      1625*T1^3*T2^9 - 1033*T1^4*T2^9 + 1894*T1^5*T2^9 - 988*T1^6*T2^9 - 
      625*T1^7*T2^9 - 1342*T1^8*T2^9 + 318*T1^9*T2^9 - 707*T1^10*T2^9 + 
      737*T1^11*T2^9 - 567*T1^12*T2^9 - 1346*T1^13*T2^9 + 381*T1^14*T2^9 + 
      49*T1^15*T2^9 - 7*T1^16*T2^9 - 85*T1^2*T2^10 - 133*T1^3*T2^10 + 
      2076*T1^4*T2^10 - 1168*T1^5*T2^10 - 366*T1^6*T2^10 + 496*T1^7*T2^10 + 
      1377*T1^8*T2^10 - 707*T1^9*T2^10 + 1009*T1^10*T2^10 - 506*T1^11*T2^10 - 
      560*T1^12*T2^10 + 1654*T1^13*T2^10 - 300*T1^14*T2^10 - 
      119*T1^15*T2^10 + 17*T1^16*T2^10 + 104*T1^3*T2^11 - 119*T1^4*T2^11 - 
      1503*T1^5*T2^11 + 1900*T1^6*T2^11 - 468*T1^7*T2^11 - 1161*T1^8*T2^11 + 
      737*T1^9*T2^11 - 506*T1^10*T2^11 - 569*T1^11*T2^11 + 1597*T1^12*T2^11 - 
      1537*T1^13*T2^11 + 108*T1^14*T2^11 + 182*T1^15*T2^11 - 26*T1^16*T2^11 - 
      87*T1^4*T2^12 + 245*T1^5*T2^12 + 684*T1^6*T2^12 - 1845*T1^7*T2^12 + 
      1864*T1^8*T2^12 - 567*T1^9*T2^12 - 560*T1^10*T2^12 + 1597*T1^11*T2^12 - 
      1804*T1^12*T2^12 + 963*T1^13*T2^12 + 108*T1^14*T2^12 - 
      203*T1^15*T2^12 + 29*T1^16*T2^12 + 52*T1^5*T2^13 - 245*T1^6*T2^13 + 
      109*T1^7*T2^13 + 567*T1^8*T2^13 - 1346*T1^9*T2^13 + 1654*T1^10*T2^13 - 
      1537*T1^11*T2^13 + 963*T1^12*T2^13 - 183*T1^13*T2^13 - 
      265*T1^14*T2^13 + 182*T1^15*T2^13 - 26*T1^16*T2^13 - 17*T1^6*T2^14 + 
      119*T1^7*T2^14 - 292*T1^8*T2^14 + 381*T1^9*T2^14 - 300*T1^10*T2^14 + 
      108*T1^11*T2^14 + 108*T1^12*T2^14 - 265*T1^13*T2^14 + 252*T1^14*T2^14 - 
      119*T1^15*T2^14 + 17*T1^16*T2^14 - 7*T1^8*T2^15 + 49*T1^9*T2^15 - 
      119*T1^10*T2^15 + 182*T1^11*T2^15 - 203*T1^12*T2^15 + 182*T1^13*T2^15 - 
      119*T1^14*T2^15 + 49*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 17*T1^10*T2^16 - 26*T1^11*T2^16 + 29*T1^12*T2^16 - 
      26*T1^13*T2^16 + 17*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 106] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-41 + 287*T1 - 696*T1^2 + 921*T1^3 - 696*T1^4 + 287*T1^5 - 41*T1^6 + 
      287*T2 - 1778*T1*T2 + 3255*T1^2*T2 - 2527*T1^3*T2 - 315*T1^4*T2 + 
      1911*T1^5*T2 - 1330*T1^6*T2 + 231*T1^7*T2 - 696*T2^2 + 3255*T1*T2^2 - 
      1015*T1^2*T2^2 - 8559*T1^3*T2^2 + 16915*T1^4*T2^2 - 12775*T1^5*T2^2 + 
      3337*T1^6*T2^2 + 1351*T1^7*T2^2 - 424*T1^8*T2^2 + 921*T2^3 - 
      2527*T1*T2^3 - 8559*T1^2*T2^3 + 24956*T1^3*T2^3 - 24430*T1^4*T2^3 + 
      214*T1^5*T2^3 + 14798*T1^6*T2^3 - 10123*T1^7*T2^3 + 301*T1^8*T2^3 + 
      381*T1^9*T2^3 - 696*T2^4 - 315*T1*T2^4 + 16915*T1^2*T2^4 - 
      24430*T1^3*T2^4 + 1183*T1^4*T2^4 + 33779*T1^5*T2^4 - 29173*T1^6*T2^4 + 
      3650*T1^7*T2^4 + 8523*T1^8*T2^4 - 1603*T1^9*T2^4 - 152*T1^10*T2^4 + 
      287*T2^5 + 1911*T1*T2^5 - 12775*T1^2*T2^5 + 214*T1^3*T2^5 + 
      33779*T1^4*T2^5 - 46758*T1^5*T2^5 + 7808*T1^6*T2^5 + 22695*T1^7*T2^5 - 
      17558*T1^8*T2^5 - 603*T1^9*T2^5 + 1015*T1^10*T2^5 + 7*T1^11*T2^5 - 
      41*T2^6 - 1330*T1*T2^6 + 3337*T1^2*T2^6 + 14798*T1^3*T2^6 - 
      29173*T1^4*T2^6 + 7808*T1^5*T2^6 + 36804*T1^6*T2^6 - 39112*T1^7*T2^6 + 
      10347*T1^8*T2^6 + 8006*T1^9*T2^6 - 2199*T1^10*T2^6 - 98*T1^11*T2^6 + 
      7*T1^12*T2^6 + 231*T1*T2^7 + 1351*T1^2*T2^7 - 10123*T1^3*T2^7 + 
      3650*T1^4*T2^7 + 22695*T1^5*T2^7 - 39112*T1^6*T2^7 + 15454*T1^7*T2^7 + 
      11611*T1^8*T2^7 - 14122*T1^9*T2^7 + 2049*T1^10*T2^7 + 455*T1^11*T2^7 - 
      49*T1^12*T2^7 - 424*T1^2*T2^8 + 301*T1^3*T2^8 + 8523*T1^4*T2^8 - 
      17558*T1^5*T2^8 + 10347*T1^6*T2^8 + 11611*T1^7*T2^8 - 20009*T1^8*T2^8 + 
      10522*T1^9*T2^8 + 131*T1^10*T2^8 - 987*T1^11*T2^8 + 120*T1^12*T2^8 + 
      381*T1^3*T2^9 - 1603*T1^4*T2^9 - 603*T1^5*T2^9 + 8006*T1^6*T2^9 - 
      14122*T1^7*T2^9 + 10522*T1^8*T2^9 - 2152*T1^9*T2^9 - 2167*T1^10*T2^9 + 
      1225*T1^11*T2^9 - 159*T1^12*T2^9 - 152*T1^4*T2^10 + 1015*T1^5*T2^10 - 
      2199*T1^6*T2^10 + 2049*T1^7*T2^10 + 131*T1^8*T2^10 - 2167*T1^9*T2^10 + 
      2153*T1^10*T2^10 - 889*T1^11*T2^10 + 120*T1^12*T2^10 + 7*T1^5*T2^11 - 
      98*T1^6*T2^11 + 455*T1^7*T2^11 - 987*T1^8*T2^11 + 1225*T1^9*T2^11 - 
      889*T1^10*T2^11 + 350*T1^11*T2^11 - 49*T1^12*T2^11 + 7*T1^6*T2^12 - 
      49*T1^7*T2^12 + 120*T1^8*T2^12 - 159*T1^9*T2^12 + 120*T1^10*T2^12 - 
      49*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 107] -> 
  {(7 - 27*T + 53*T^2 - 65*T^3 + 53*T^4 - 27*T^5 + 7*T^6)/T^3, 
   -((2107 - 8031*T1 + 15670*T1^2 - 19171*T1^3 + 15670*T1^4 - 8031*T1^5 + 
      2107*T1^6 - 8031*T2 + 23993*T1*T2 - 34403*T1^2*T2 + 23470*T1^3*T2 + 
      1168*T1^4*T2 - 19283*T1^5*T2 + 17567*T1^6*T2 - 6708*T1^7*T2 + 
      15670*T2^2 - 34403*T1*T2^2 + 29477*T1^2*T2^2 + 9051*T1^3*T2^2 - 
      40799*T1^4*T2^2 + 37247*T1^5*T2^2 - 4655*T1^6*T2^2 - 14369*T1^7*T2^2 + 
      10476*T1^8*T2^2 - 19171*T2^3 + 23470*T1*T2^3 + 9051*T1^2*T2^3 - 
      57812*T1^3*T2^3 + 54324*T1^4*T2^3 - 5334*T1^5*T2^3 - 41612*T1^6*T2^3 + 
      32742*T1^7*T2^3 - 3368*T1^8*T2^3 - 9616*T1^9*T2^3 + 15670*T2^4 + 
      1168*T1*T2^4 - 40799*T1^2*T2^4 + 54324*T1^3*T2^4 + 7380*T1^4*T2^4 - 
      68674*T1^5*T2^4 + 72496*T1^6*T2^4 - 10676*T1^7*T2^4 - 24681*T1^8*T2^4 + 
      16666*T1^9*T2^4 + 5282*T1^10*T2^4 - 8031*T2^5 - 19283*T1*T2^5 + 
      37247*T1^2*T2^5 - 5334*T1^3*T2^5 - 68674*T1^4*T2^5 + 76845*T1^5*T2^5 - 
      18355*T1^6*T2^5 - 52085*T1^7*T2^5 + 43640*T1^8*T2^5 - 4464*T1^9*T2^5 - 
      14747*T1^10*T2^5 - 1416*T1^11*T2^5 + 2107*T2^6 + 17567*T1*T2^6 - 
      4655*T1^2*T2^6 - 41612*T1^3*T2^6 + 72496*T1^4*T2^6 - 18355*T1^5*T2^6 - 
      50412*T1^6*T2^6 + 68931*T1^7*T2^6 - 11974*T1^8*T2^6 - 25364*T1^9*T2^6 + 
      19169*T1^10*T2^6 + 5093*T1^11*T2^6 + 49*T1^12*T2^6 - 6708*T1*T2^7 - 
      14369*T1^2*T2^7 + 32742*T1^3*T2^7 - 10676*T1^4*T2^7 - 52085*T1^5*T2^7 + 
      68931*T1^6*T2^7 - 26269*T1^7*T2^7 - 35496*T1^8*T2^7 + 38298*T1^9*T2^7 - 
      8969*T1^10*T2^7 - 9833*T1^11*T2^7 - 93*T1^12*T2^7 + 10476*T1^2*T2^8 - 
      3368*T1^3*T2^8 - 24681*T1^4*T2^8 + 43640*T1^5*T2^8 - 11974*T1^6*T2^8 - 
      35496*T1^7*T2^8 + 53142*T1^8*T2^8 - 21360*T1^9*T2^8 - 8563*T1^10*T2^8 + 
      12130*T1^11*T2^8 + 88*T1^12*T2^8 - 9616*T1^3*T2^9 + 16666*T1^4*T2^9 - 
      4464*T1^5*T2^9 - 25364*T1^6*T2^9 + 38298*T1^7*T2^9 - 21360*T1^8*T2^9 - 
      9164*T1^9*T2^9 + 19227*T1^10*T2^9 - 10172*T1^11*T2^9 - 61*T1^12*T2^9 + 
      5282*T1^4*T2^10 - 14747*T1^5*T2^10 + 19169*T1^6*T2^10 - 
      8969*T1^7*T2^10 - 8563*T1^8*T2^10 + 19227*T1^9*T2^10 - 
      14963*T1^10*T2^10 + 5287*T1^11*T2^10 + 88*T1^12*T2^10 - 
      1416*T1^5*T2^11 + 5093*T1^6*T2^11 - 9833*T1^7*T2^11 + 
      12130*T1^8*T2^11 - 10172*T1^9*T2^11 + 5287*T1^10*T2^11 - 
      1333*T1^11*T2^11 - 93*T1^12*T2^11 + 49*T1^6*T2^12 - 93*T1^7*T2^12 + 
      88*T1^8*T2^12 - 61*T1^9*T2^12 + 88*T1^10*T2^12 - 93*T1^11*T2^12 + 
      49*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 108] -> 
  {-((1 - 8*T + 26*T^2 - 51*T^3 + 63*T^4 - 51*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 130*T1^2 + 255*T1^3 - 315*T1^4 + 255*T1^5 - 
      130*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 784*T1^2*T2 - 
      1208*T1^3*T2 + 888*T1^4*T2 - 24*T1^5*T2 - 592*T1^6*T2 + 512*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 130*T2^2 + 784*T1*T2^2 - 1416*T1^2*T2^2 + 
      623*T1^3*T2^2 + 2783*T1^4*T2^2 - 5450*T1^5*T2^2 + 4707*T1^6*T2^2 - 
      1613*T1^7*T2^2 - 116*T1^8*T2^2 + 368*T1^9*T2^2 - 78*T1^10*T2^2 + 
      255*T2^3 - 1208*T1*T2^3 + 623*T1^2*T2^3 + 3653*T1^3*T2^3 - 
      10826*T1^4*T2^3 + 10173*T1^5*T2^3 - 1758*T1^6*T2^3 - 5673*T1^7*T2^3 + 
      4537*T1^8*T2^3 - 1483*T1^9*T2^3 - 192*T1^10*T2^3 + 102*T1^11*T2^3 - 
      315*T2^4 + 888*T1*T2^4 + 2783*T1^2*T2^4 - 10826*T1^3*T2^4 + 
      17024*T1^4*T2^4 - 4196*T1^5*T2^4 - 12440*T1^6*T2^4 + 15160*T1^7*T2^4 - 
      2440*T1^8*T2^4 - 3278*T1^9*T2^4 + 2807*T1^10*T2^4 - 312*T1^11*T2^4 - 
      63*T1^12*T2^4 + 255*T2^5 - 24*T1*T2^5 - 5450*T1^2*T2^5 + 
      10173*T1^3*T2^5 - 4196*T1^4*T2^5 - 23455*T1^5*T2^5 + 32018*T1^6*T2^5 - 
      11392*T1^7*T2^5 - 15445*T1^8*T2^5 + 13279*T1^9*T2^5 - 4200*T1^10*T2^5 - 
      1310*T1^11*T2^5 + 504*T1^12*T2^5 - 130*T2^6 - 592*T1*T2^6 + 
      4707*T1^2*T2^6 - 1758*T1^3*T2^6 - 12440*T1^4*T2^6 + 32018*T1^5*T2^6 - 
      7585*T1^6*T2^6 - 34141*T1^7*T2^6 + 47351*T1^8*T2^6 - 15622*T1^9*T2^6 - 
      3944*T1^10*T2^6 + 6510*T1^11*T2^6 - 1017*T1^12*T2^6 - 208*T1^13*T2^6 + 
      26*T1^14*T2^6 + 40*T2^7 + 512*T1*T2^7 - 1613*T1^2*T2^7 - 
      5673*T1^3*T2^7 + 15160*T1^4*T2^7 - 11392*T1^5*T2^7 - 34141*T1^6*T2^7 + 
      60523*T1^7*T2^7 - 34309*T1^8*T2^7 - 16554*T1^9*T2^7 + 
      23558*T1^10*T2^7 - 9839*T1^11*T2^7 - 1246*T1^12*T2^7 + 
      1273*T1^13*T2^7 - 80*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 116*T1^2*T2^8 + 4537*T1^3*T2^8 - 2440*T1^4*T2^8 - 
      15445*T1^5*T2^8 + 47351*T1^6*T2^8 - 34309*T1^7*T2^8 - 17772*T1^8*T2^8 + 
      51429*T1^9*T2^8 - 28063*T1^10*T2^8 + 485*T1^11*T2^8 + 7168*T1^12*T2^8 - 
      2317*T1^13*T2^8 - 276*T1^14*T2^8 + 104*T1^15*T2^8 + 3*T1^16*T2^8 + 
      32*T1*T2^9 + 368*T1^2*T2^9 - 1483*T1^3*T2^9 - 3278*T1^4*T2^9 + 
      13279*T1^5*T2^9 - 15622*T1^6*T2^9 - 16554*T1^7*T2^9 + 51429*T1^8*T2^9 - 
      43403*T1^9*T2^9 + 1033*T1^10*T2^9 + 19328*T1^11*T2^9 - 
      11720*T1^12*T2^9 + 1149*T1^13*T2^9 + 1403*T1^14*T2^9 - 224*T1^15*T2^9 - 
      24*T1^16*T2^9 - 78*T1^2*T2^10 - 192*T1^3*T2^10 + 2807*T1^4*T2^10 - 
      4200*T1^5*T2^10 - 3944*T1^6*T2^10 + 23558*T1^7*T2^10 - 
      28063*T1^8*T2^10 + 1033*T1^9*T2^10 + 26873*T1^10*T2^10 - 
      24082*T1^11*T2^10 + 4552*T1^12*T2^10 + 4068*T1^13*T2^10 - 
      2917*T1^14*T2^10 + 192*T1^15*T2^10 + 78*T1^16*T2^10 + 102*T1^3*T2^11 - 
      312*T1^4*T2^11 - 1310*T1^5*T2^11 + 6510*T1^6*T2^11 - 9839*T1^7*T2^11 + 
      485*T1^8*T2^11 + 19328*T1^9*T2^11 - 24082*T1^10*T2^11 + 
      8495*T1^11*T2^11 + 7636*T1^12*T2^11 - 7863*T1^13*T2^11 + 
      2830*T1^14*T2^11 + 216*T1^15*T2^11 - 153*T1^16*T2^11 - 63*T1^4*T2^12 + 
      504*T1^5*T2^12 - 1017*T1^6*T2^12 - 1246*T1^7*T2^12 + 7168*T1^8*T2^12 - 
      11720*T1^9*T2^12 + 4552*T1^10*T2^12 + 7636*T1^11*T2^12 - 
      12296*T1^12*T2^12 + 6302*T1^13*T2^12 - 993*T1^14*T2^12 - 
      696*T1^15*T2^12 + 189*T1^16*T2^12 - 208*T1^6*T2^13 + 1273*T1^7*T2^13 - 
      2317*T1^8*T2^13 + 1149*T1^9*T2^13 + 4068*T1^10*T2^13 - 
      7863*T1^11*T2^13 + 6302*T1^12*T2^13 - 1433*T1^13*T2^13 - 
      833*T1^14*T2^13 + 808*T1^15*T2^13 - 153*T1^16*T2^13 + 26*T1^6*T2^14 - 
      80*T1^7*T2^14 - 276*T1^8*T2^14 + 1403*T1^9*T2^14 - 2917*T1^10*T2^14 + 
      2830*T1^11*T2^14 - 993*T1^12*T2^14 - 833*T1^13*T2^14 + 
      1024*T1^14*T2^14 - 496*T1^15*T2^14 + 78*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 224*T1^9*T2^15 + 192*T1^10*T2^15 + 216*T1^11*T2^15 - 
      696*T1^12*T2^15 + 808*T1^13*T2^15 - 496*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 78*T1^10*T2^16 - 
      153*T1^11*T2^16 + 189*T1^12*T2^16 - 153*T1^13*T2^16 + 78*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 109] -> 
  {-((2 - 14*T + 35*T^2 - 47*T^3 + 35*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 160*T1 - 400*T1^2 + 537*T1^3 - 400*T1^4 + 160*T1^5 - 23*T1^6 + 
      160*T2 - 1008*T1*T2 + 2060*T1^2*T2 - 1932*T1^3*T2 + 364*T1^4*T2 + 
      688*T1^5*T2 - 560*T1^6*T2 + 104*T1^7*T2 - 400*T2^2 + 2060*T1*T2^2 - 
      2085*T1^2*T2^2 - 2311*T1^3*T2^2 + 7723*T1^4*T2^2 - 6931*T1^5*T2^2 + 
      2535*T1^6*T2^2 + 100*T1^7*T2^2 - 120*T1^8*T2^2 + 537*T2^3 - 
      1932*T1*T2^3 - 2311*T1^2*T2^3 + 13000*T1^3*T2^3 - 18261*T1^4*T2^3 + 
      8101*T1^5*T2^3 + 2808*T1^6*T2^3 - 4341*T1^7*T2^3 + 1036*T1^8*T2^3 - 
      27*T1^9*T2^3 - 400*T2^4 + 364*T1*T2^4 + 7723*T1^2*T2^4 - 
      18261*T1^3*T2^4 + 12574*T1^4*T2^4 + 11098*T1^5*T2^4 - 21614*T1^6*T2^4 + 
      12007*T1^7*T2^4 - 901*T1^8*T2^4 - 924*T1^9*T2^4 + 160*T1^10*T2^4 + 
      160*T2^5 + 688*T1*T2^5 - 6931*T1^2*T2^5 + 8101*T1^3*T2^5 + 
      11098*T1^4*T2^5 - 35595*T1^5*T2^5 + 29505*T1^6*T2^5 - 2377*T1^7*T2^5 - 
      10449*T1^8*T2^5 + 5459*T1^9*T2^5 - 292*T1^10*T2^5 - 120*T1^11*T2^5 - 
      23*T2^6 - 560*T1*T2^6 + 2535*T1^2*T2^6 + 2808*T1^3*T2^6 - 
      21614*T1^4*T2^6 + 29505*T1^5*T2^6 - 4548*T1^6*T2^6 - 25809*T1^7*T2^6 + 
      23228*T1^8*T2^6 - 5180*T1^9*T2^6 - 2701*T1^10*T2^6 + 672*T1^11*T2^6 + 
      25*T1^12*T2^6 + 104*T1*T2^7 + 100*T1^2*T2^7 - 4341*T1^3*T2^7 + 
      12007*T1^4*T2^7 - 2377*T1^5*T2^7 - 25809*T1^6*T2^7 + 39291*T1^7*T2^7 - 
      15852*T1^8*T2^7 - 6543*T1^9*T2^7 + 8049*T1^10*T2^7 - 880*T1^11*T2^7 - 
      176*T1^12*T2^7 - 120*T1^2*T2^8 + 1036*T1^3*T2^8 - 901*T1^4*T2^8 - 
      10449*T1^5*T2^8 + 23228*T1^6*T2^8 - 15852*T1^7*T2^8 - 10960*T1^8*T2^8 + 
      19819*T1^9*T2^8 - 9525*T1^10*T2^8 - 252*T1^11*T2^8 + 440*T1^12*T2^8 - 
      27*T1^3*T2^9 - 924*T1^4*T2^9 + 5459*T1^5*T2^9 - 5180*T1^6*T2^9 - 
      6543*T1^7*T2^9 + 19819*T1^8*T2^9 - 15372*T1^9*T2^9 + 3429*T1^10*T2^9 + 
      2044*T1^11*T2^9 - 591*T1^12*T2^9 + 160*T1^4*T2^10 - 292*T1^5*T2^10 - 
      2701*T1^6*T2^10 + 8049*T1^7*T2^10 - 9525*T1^8*T2^10 + 3429*T1^9*T2^10 + 
      1919*T1^10*T2^10 - 2252*T1^11*T2^10 + 440*T1^12*T2^10 - 
      120*T1^5*T2^11 + 672*T1^6*T2^11 - 880*T1^7*T2^11 - 252*T1^8*T2^11 + 
      2044*T1^9*T2^11 - 2252*T1^10*T2^11 + 1120*T1^11*T2^11 - 
      176*T1^12*T2^11 + 25*T1^6*T2^12 - 176*T1^7*T2^12 + 440*T1^8*T2^12 - 
      591*T1^9*T2^12 + 440*T1^10*T2^12 - 176*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 110] -> 
  {-((3 - 18*T + 42*T^2 - 55*T^3 + 42*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((-138 + 828*T1 - 1928*T1^2 + 2524*T1^3 - 1928*T1^4 + 828*T1^5 - 
      138*T1^6 + 828*T2 - 4304*T1*T2 + 7579*T1^2*T2 - 5848*T1^3*T2 - 
      610*T1^4*T2 + 4339*T1^5*T2 - 3170*T1^6*T2 + 666*T1^7*T2 - 1928*T2^2 + 
      7579*T1*T2^2 - 4229*T1^2*T2^2 - 13325*T1^3*T2^2 + 29521*T1^4*T2^2 - 
      22649*T1^5*T2^2 + 5599*T1^6*T2^2 + 3043*T1^7*T2^2 - 1172*T1^8*T2^2 + 
      2524*T2^3 - 5848*T1*T2^3 - 13325*T1^2*T2^3 + 42469*T1^3*T2^3 - 
      42783*T1^4*T2^3 + 849*T1^5*T2^3 + 25819*T1^6*T2^3 - 18239*T1^7*T2^3 + 
      794*T1^8*T2^3 + 1039*T1^9*T2^3 - 1928*T2^4 - 610*T1*T2^4 + 
      29521*T1^2*T2^4 - 42783*T1^3*T2^4 + 3505*T1^4*T2^4 + 56987*T1^5*T2^4 - 
      50099*T1^6*T2^4 + 6717*T1^7*T2^4 + 15049*T1^8*T2^4 - 3742*T1^9*T2^4 - 
      416*T1^10*T2^4 + 828*T2^5 + 4339*T1*T2^5 - 22649*T1^2*T2^5 + 
      849*T1^3*T2^5 + 56987*T1^4*T2^5 - 79730*T1^5*T2^5 + 13930*T1^6*T2^5 + 
      38591*T1^7*T2^5 - 31047*T1^8*T2^5 - 95*T1^9*T2^5 + 2395*T1^10*T2^5 + 
      18*T1^11*T2^5 - 138*T2^6 - 3170*T1*T2^6 + 5599*T1^2*T2^6 + 
      25819*T1^3*T2^6 - 50099*T1^4*T2^6 + 13930*T1^5*T2^6 + 62220*T1^6*T2^6 - 
      67034*T1^7*T2^6 + 18481*T1^8*T2^6 + 13777*T1^9*T2^6 - 4877*T1^10*T2^6 - 
      254*T1^11*T2^6 + 24*T1^12*T2^6 + 666*T1*T2^7 + 3043*T1^2*T2^7 - 
      18239*T1^3*T2^7 + 6717*T1^4*T2^7 + 38591*T1^5*T2^7 - 67034*T1^6*T2^7 + 
      26626*T1^7*T2^7 + 20195*T1^8*T2^7 - 25179*T1^9*T2^7 + 4315*T1^10*T2^7 + 
      1099*T1^11*T2^7 - 144*T1^12*T2^7 - 1172*T1^2*T2^8 + 794*T1^3*T2^8 + 
      15049*T1^4*T2^8 - 31047*T1^5*T2^8 + 18481*T1^6*T2^8 + 20195*T1^7*T2^8 - 
      35123*T1^8*T2^8 + 18453*T1^9*T2^8 + 577*T1^10*T2^8 - 2338*T1^11*T2^8 + 
      340*T1^12*T2^8 + 1039*T1^3*T2^9 - 3742*T1^4*T2^9 - 95*T1^5*T2^9 + 
      13777*T1^6*T2^9 - 25179*T1^7*T2^9 + 18453*T1^8*T2^9 - 2873*T1^9*T2^9 - 
      5009*T1^10*T2^9 + 2900*T1^11*T2^9 - 446*T1^12*T2^9 - 416*T1^4*T2^10 + 
      2395*T1^5*T2^10 - 4877*T1^6*T2^10 + 4315*T1^7*T2^10 + 577*T1^8*T2^10 - 
      5009*T1^9*T2^10 + 4951*T1^10*T2^10 - 2141*T1^11*T2^10 + 
      340*T1^12*T2^10 + 18*T1^5*T2^11 - 254*T1^6*T2^11 + 1099*T1^7*T2^11 - 
      2338*T1^8*T2^11 + 2900*T1^9*T2^11 - 2141*T1^10*T2^11 + 
      880*T1^11*T2^11 - 144*T1^12*T2^11 + 24*T1^6*T2^12 - 144*T1^7*T2^12 + 
      340*T1^8*T2^12 - 446*T1^9*T2^12 + 340*T1^10*T2^12 - 144*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 111] -> 
  {(1 - 8*T + 26*T^2 - 47*T^3 + 57*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 156*T1^2 + 282*T1^3 - 342*T1^4 + 282*T1^5 - 156*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 928*T1^2*T2 - 1216*T1^3*T2 + 
     856*T1^4*T2 + 24*T1^5*T2 - 632*T1^6*T2 + 656*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 156*T2^2 + 928*T1*T2^2 - 1604*T1^2*T2^2 - 137*T1^3*T2^2 + 
     3411*T1^4*T2^2 - 5980*T1^5*T2^2 + 5023*T1^6*T2^2 - 2165*T1^7*T2^2 - 
     304*T1^8*T2^2 + 512*T1^9*T2^2 - 104*T1^10*T2^2 + 282*T2^3 - 
     1216*T1*T2^3 - 137*T1^2*T2^3 + 7201*T1^3*T2^3 - 12250*T1^4*T2^3 + 
     10561*T1^5*T2^3 - 778*T1^6*T2^3 - 6231*T1^7*T2^3 + 6897*T1^8*T2^3 - 
     1931*T1^9*T2^3 - 296*T1^10*T2^3 + 141*T1^11*T2^3 - 342*T2^4 + 
     856*T1*T2^4 + 3411*T1^2*T2^4 - 12250*T1^3*T2^4 + 7642*T1^4*T2^4 + 
     7478*T1^5*T2^4 - 24474*T1^6*T2^4 + 21898*T1^7*T2^4 - 8918*T1^8*T2^4 - 
     4166*T1^9*T2^4 + 3323*T1^10*T2^4 - 216*T1^11*T2^4 - 114*T1^12*T2^4 + 
     282*T2^5 + 24*T1*T2^5 - 5980*T1^2*T2^5 + 10561*T1^3*T2^5 + 
     7478*T1^4*T2^5 - 25629*T1^5*T2^5 + 30089*T1^6*T2^5 - 5125*T1^7*T2^5 - 
     14063*T1^8*T2^5 + 18199*T1^9*T2^5 - 2964*T1^10*T2^5 - 2368*T1^11*T2^5 + 
     536*T1^12*T2^5 + 47*T1^13*T2^5 - 156*T2^6 - 632*T1*T2^6 + 
     5023*T1^2*T2^6 - 778*T1^3*T2^6 - 24474*T1^4*T2^6 + 30089*T1^5*T2^6 - 
     13660*T1^6*T2^6 - 20742*T1^7*T2^6 + 23468*T1^8*T2^6 - 8615*T1^9*T2^6 - 
     12170*T1^10*T2^6 + 7282*T1^11*T2^6 + 11*T1^12*T2^6 - 376*T1^13*T2^6 + 
     48*T2^7 + 656*T1*T2^7 - 2165*T1^2*T2^7 - 6231*T1^3*T2^7 + 
     21898*T1^4*T2^7 - 5125*T1^5*T2^7 - 20742*T1^6*T2^7 + 36511*T1^7*T2^7 - 
     9343*T1^8*T2^7 - 15001*T1^9*T2^7 + 23109*T1^10*T2^7 - 3619*T1^11*T2^7 - 
     3990*T1^12*T2^7 + 1033*T1^13*T2^7 + 64*T1^14*T2^7 - 8*T1^15*T2^7 - 
     6*T2^8 - 272*T1*T2^8 - 304*T1^2*T2^8 + 6897*T1^3*T2^8 - 8918*T1^4*T2^8 - 
     14063*T1^5*T2^8 + 23468*T1^6*T2^8 - 9343*T1^7*T2^8 - 26280*T1^8*T2^8 + 
     31695*T1^9*T2^8 - 15250*T1^10*T2^8 - 9189*T1^11*T2^8 + 8450*T1^12*T2^8 - 
     709*T1^13*T2^8 - 464*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 
     40*T1*T2^9 + 512*T1^2*T2^9 - 1931*T1^3*T2^9 - 4166*T1^4*T2^9 + 
     18199*T1^5*T2^9 - 8615*T1^6*T2^9 - 15001*T1^7*T2^9 + 31695*T1^8*T2^9 - 
     14159*T1^9*T2^9 - 9260*T1^10*T2^9 + 19619*T1^11*T2^9 - 7318*T1^12*T2^9 - 
     1925*T1^13*T2^9 + 1267*T1^14*T2^9 - 80*T1^15*T2^9 - 16*T1^16*T2^9 - 
     104*T1^2*T2^10 - 296*T1^3*T2^10 + 3323*T1^4*T2^10 - 2964*T1^5*T2^10 - 
     12170*T1^6*T2^10 + 23109*T1^7*T2^10 - 15250*T1^8*T2^10 - 
     9260*T1^9*T2^10 + 21878*T1^10*T2^10 - 15595*T1^11*T2^10 + 
     134*T1^12*T2^10 + 5096*T1^13*T2^10 - 1689*T1^14*T2^10 - 40*T1^15*T2^10 + 
     52*T1^16*T2^10 + 141*T1^3*T2^11 - 216*T1^4*T2^11 - 2368*T1^5*T2^11 + 
     7282*T1^6*T2^11 - 3619*T1^7*T2^11 - 9189*T1^8*T2^11 + 19619*T1^9*T2^11 - 
     15595*T1^10*T2^11 + 2377*T1^11*T2^11 + 7102*T1^12*T2^11 - 
     6243*T1^13*T2^11 + 1244*T1^14*T2^11 + 296*T1^15*T2^11 - 94*T1^16*T2^11 - 
     114*T1^4*T2^12 + 536*T1^5*T2^12 + 11*T1^6*T2^12 - 3990*T1^7*T2^12 + 
     8450*T1^8*T2^12 - 7318*T1^9*T2^12 + 134*T1^10*T2^12 + 7102*T1^11*T2^12 - 
     8110*T1^12*T2^12 + 4094*T1^13*T2^12 - 77*T1^14*T2^12 - 536*T1^15*T2^12 + 
     114*T1^16*T2^12 + 47*T1^5*T2^13 - 376*T1^6*T2^13 + 1033*T1^7*T2^13 - 
     709*T1^8*T2^13 - 1925*T1^9*T2^13 + 5096*T1^10*T2^13 - 6243*T1^11*T2^13 + 
     4094*T1^12*T2^13 - 1013*T1^13*T2^13 - 761*T1^14*T2^13 + 
     544*T1^15*T2^13 - 94*T1^16*T2^13 + 64*T1^7*T2^14 - 464*T1^8*T2^14 + 
     1267*T1^9*T2^14 - 1689*T1^10*T2^14 + 1244*T1^11*T2^14 - 77*T1^12*T2^14 - 
     761*T1^13*T2^14 + 836*T1^14*T2^14 - 352*T1^15*T2^14 + 52*T1^16*T2^14 - 
     8*T1^7*T2^15 + 48*T1^8*T2^15 - 80*T1^9*T2^15 - 40*T1^10*T2^15 + 
     296*T1^11*T2^15 - 536*T1^12*T2^15 + 544*T1^13*T2^15 - 352*T1^14*T2^15 + 
     120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 
     52*T1^10*T2^16 - 94*T1^11*T2^16 + 114*T1^12*T2^16 - 94*T1^13*T2^16 + 
     52*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 112] -> 
  {-((1 - 7*T + 20*T^2 - 35*T^3 + 41*T^4 - 35*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 60*T1^2 + 105*T1^3 - 123*T1^4 + 105*T1^5 - 
      60*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 
      455*T1^3*T2 + 371*T1^4*T2 - 161*T1^5*T2 - 70*T1^6*T2 + 133*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 
      265*T1^3*T2^2 + 596*T1^4*T2^2 - 1247*T1^5*T2^2 + 1436*T1^6*T2^2 - 
      855*T1^7*T2^2 + 231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 
      105*T2^3 - 455*T1*T2^3 + 265*T1^2*T2^3 + 963*T1^3*T2^3 - 
      2700*T1^4*T2^3 + 2893*T1^5*T2^3 - 1972*T1^6*T2^3 - 40*T1^7*T2^3 + 
      963*T1^8*T2^3 - 715*T1^9*T2^3 + 140*T1^10*T2^3 - 123*T2^4 + 
      371*T1*T2^4 + 596*T1^2*T2^4 - 2700*T1^3*T2^4 + 4212*T1^4*T2^4 - 
      2328*T1^5*T2^4 - 412*T1^6*T2^4 + 3370*T1^7*T2^4 - 2948*T1^8*T2^4 + 
      870*T1^9*T2^4 + 446*T1^10*T2^4 - 287*T1^11*T2^4 + 41*T1^12*T2^4 + 
      105*T2^5 - 161*T1*T2^5 - 1247*T1^2*T2^5 + 2893*T1^3*T2^5 - 
      2328*T1^4*T2^5 - 2092*T1^5*T2^5 + 4932*T1^6*T2^5 - 5638*T1^7*T2^5 + 
      1380*T1^8*T2^5 + 2593*T1^9*T2^5 - 2602*T1^10*T2^5 + 580*T1^11*T2^5 + 
      203*T1^12*T2^5 - 70*T1^13*T2^5 - 60*T2^6 - 70*T1*T2^6 + 
      1436*T1^2*T2^6 - 1972*T1^3*T2^6 - 412*T1^4*T2^6 + 4932*T1^5*T2^6 - 
      4986*T1^6*T2^6 + 1712*T1^7*T2^6 + 4294*T1^8*T2^6 - 5988*T1^9*T2^6 + 
      1368*T1^10*T2^6 + 1948*T1^11*T2^6 - 1384*T1^12*T2^6 + 70*T1^13*T2^6 + 
      60*T1^14*T2^6 + 21*T2^7 + 133*T1*T2^7 - 855*T1^2*T2^7 - 40*T1^3*T2^7 + 
      3370*T1^4*T2^7 - 5638*T1^5*T2^7 + 1712*T1^6*T2^7 + 4430*T1^7*T2^7 - 
      7638*T1^8*T2^7 + 4057*T1^9*T2^7 + 4232*T1^10*T2^7 - 4659*T1^11*T2^7 + 
      940*T1^12*T2^7 + 965*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 231*T1^2*T2^8 + 963*T1^3*T2^8 - 2948*T1^4*T2^8 + 
      1380*T1^5*T2^8 + 4294*T1^6*T2^8 - 7638*T1^7*T2^8 + 2856*T1^8*T2^8 + 
      4542*T1^9*T2^8 - 10436*T1^10*T2^8 + 3704*T1^11*T2^8 + 1940*T1^12*T2^8 - 
      2187*T1^13*T2^8 - 67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 715*T1^3*T2^9 + 870*T1^4*T2^9 + 
      2593*T1^5*T2^9 - 5988*T1^6*T2^9 + 4057*T1^7*T2^9 + 4542*T1^8*T2^9 - 
      7526*T1^9*T2^9 + 6402*T1^10*T2^9 + 3882*T1^11*T2^9 - 5436*T1^12*T2^9 + 
      1850*T1^13*T2^9 + 1105*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 
      20*T1^2*T2^10 + 140*T1^3*T2^10 + 446*T1^4*T2^10 - 2602*T1^5*T2^10 + 
      1368*T1^6*T2^10 + 4232*T1^7*T2^10 - 10436*T1^8*T2^10 + 
      6402*T1^9*T2^10 - 1156*T1^10*T2^10 - 6688*T1^11*T2^10 + 
      3148*T1^12*T2^10 + 1318*T1^13*T2^10 - 2374*T1^14*T2^10 + 
      280*T1^15*T2^10 + 100*T1^16*T2^10 - 287*T1^4*T2^11 + 580*T1^5*T2^11 + 
      1948*T1^6*T2^11 - 4659*T1^7*T2^11 + 3704*T1^8*T2^11 + 3882*T1^9*T2^11 - 
      6688*T1^10*T2^11 + 7176*T1^11*T2^11 + 262*T1^12*T2^11 - 
      3547*T1^13*T2^11 + 2407*T1^14*T2^11 + 77*T1^15*T2^11 - 
      175*T1^16*T2^11 + 41*T1^4*T2^12 + 203*T1^5*T2^12 - 1384*T1^6*T2^12 + 
      940*T1^7*T2^12 + 1940*T1^8*T2^12 - 5436*T1^9*T2^12 + 3148*T1^10*T2^12 + 
      262*T1^11*T2^12 - 5220*T1^12*T2^12 + 4510*T1^13*T2^12 - 
      1534*T1^14*T2^12 - 455*T1^15*T2^12 + 205*T1^16*T2^12 - 70*T1^5*T2^13 + 
      70*T1^6*T2^13 + 965*T1^7*T2^13 - 2187*T1^8*T2^13 + 1850*T1^9*T2^13 + 
      1318*T1^10*T2^13 - 3547*T1^11*T2^13 + 4510*T1^12*T2^13 - 
      2187*T1^13*T2^13 - 15*T1^14*T2^13 + 665*T1^15*T2^13 - 175*T1^16*T2^13 + 
      60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 1105*T1^9*T2^14 - 
      2374*T1^10*T2^14 + 2407*T1^11*T2^14 - 1534*T1^12*T2^14 - 
      15*T1^13*T2^14 + 693*T1^14*T2^14 - 504*T1^15*T2^14 + 100*T1^16*T2^14 - 
      28*T1^7*T2^15 + 161*T1^8*T2^15 - 315*T1^9*T2^15 + 280*T1^10*T2^15 + 
      77*T1^11*T2^15 - 455*T1^12*T2^15 + 665*T1^13*T2^15 - 504*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      100*T1^10*T2^16 - 175*T1^11*T2^16 + 205*T1^12*T2^16 - 175*T1^13*T2^16 + 
      100*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 113] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 17*T^2 - 25*T^3 + 17*T^4 - 6*T^5 + T^6))/T^4), 
   -((-5 + 35*T1 - 120*T1^2 + 240*T1^3 - 295*T1^4 + 240*T1^5 - 120*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 644*T1^2*T2 - 1008*T1^3*T2 + 
      721*T1^4*T2 - 28*T1^5*T2 - 504*T1^6*T2 + 427*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 120*T2^2 + 644*T1*T2^2 - 1579*T1^2*T2^2 + 1553*T1^3*T2^2 + 
      622*T1^4*T2^2 - 2379*T1^5*T2^2 + 2302*T1^6*T2^2 - 415*T1^7*T2^2 - 
      475*T1^8*T2^2 + 308*T1^9*T2^2 - 72*T1^10*T2^2 + 240*T2^3 - 
      1008*T1*T2^3 + 1553*T1^2*T2^3 + 1210*T1^3*T2^3 - 6749*T1^4*T2^3 + 
      6287*T1^5*T2^3 - 1321*T1^6*T2^3 - 4157*T1^7*T2^3 + 3058*T1^8*T2^3 - 
      559*T1^9*T2^3 - 168*T1^10*T2^3 + 96*T1^11*T2^3 - 295*T2^4 + 
      721*T1*T2^4 + 622*T1^2*T2^4 - 6749*T1^3*T2^4 + 10413*T1^4*T2^4 + 
      2079*T1^5*T2^4 - 13797*T1^6*T2^4 + 15923*T1^7*T2^4 - 3451*T1^8*T2^4 - 
      2621*T1^9*T2^4 + 1582*T1^10*T2^4 - 259*T1^11*T2^4 - 59*T1^12*T2^4 + 
      240*T2^5 - 28*T1*T2^5 - 2379*T1^2*T2^5 + 6287*T1^3*T2^5 + 
      2079*T1^4*T2^5 - 27753*T1^5*T2^5 + 29913*T1^6*T2^5 - 11583*T1^7*T2^5 - 
      14823*T1^8*T2^5 + 12918*T1^9*T2^5 - 2713*T1^10*T2^5 - 618*T1^11*T2^5 + 
      413*T1^12*T2^5 - 120*T2^6 - 504*T1*T2^6 + 2302*T1^2*T2^6 - 
      1321*T1^3*T2^6 - 13797*T1^4*T2^6 + 29913*T1^5*T2^6 - 1588*T1^6*T2^6 - 
      32444*T1^7*T2^6 + 45740*T1^8*T2^6 - 15159*T1^9*T2^6 - 4677*T1^10*T2^6 + 
      4199*T1^11*T2^6 - 818*T1^12*T2^6 - 168*T1^13*T2^6 + 24*T1^14*T2^6 + 
      35*T2^7 + 427*T1*T2^7 - 415*T1^2*T2^7 - 4157*T1^3*T2^7 + 
      15923*T1^4*T2^7 - 11583*T1^5*T2^7 - 32444*T1^6*T2^7 + 50279*T1^7*T2^7 - 
      29561*T1^8*T2^7 - 16652*T1^9*T2^7 + 22761*T1^10*T2^7 - 
      6936*T1^11*T2^7 - 605*T1^12*T2^7 + 833*T1^13*T2^7 - 70*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 475*T1^2*T2^8 + 3058*T1^3*T2^8 - 
      3451*T1^4*T2^8 - 14823*T1^5*T2^8 + 45740*T1^6*T2^8 - 29561*T1^7*T2^8 - 
      13584*T1^8*T2^8 + 43961*T1^9*T2^8 - 23476*T1^10*T2^8 - 
      2469*T1^11*T2^8 + 5949*T1^12*T2^8 - 1790*T1^13*T2^8 - 37*T1^14*T2^8 + 
      77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 308*T1^2*T2^9 - 
      559*T1^3*T2^9 - 2621*T1^4*T2^9 + 12918*T1^5*T2^9 - 15159*T1^6*T2^9 - 
      16652*T1^7*T2^9 + 43961*T1^8*T2^9 - 35879*T1^9*T2^9 - 860*T1^10*T2^9 + 
      19185*T1^11*T2^9 - 9941*T1^12*T2^9 + 931*T1^13*T2^9 + 689*T1^14*T2^9 - 
      189*T1^15*T2^9 - 21*T1^16*T2^9 - 72*T1^2*T2^10 - 168*T1^3*T2^10 + 
      1582*T1^4*T2^10 - 2713*T1^5*T2^10 - 4677*T1^6*T2^10 + 
      22761*T1^7*T2^10 - 23476*T1^8*T2^10 - 860*T1^9*T2^10 + 
      23852*T1^10*T2^10 - 22311*T1^11*T2^10 + 4443*T1^12*T2^10 + 
      2807*T1^13*T2^10 - 1538*T1^14*T2^10 + 168*T1^15*T2^10 + 
      72*T1^16*T2^10 + 96*T1^3*T2^11 - 259*T1^4*T2^11 - 618*T1^5*T2^11 + 
      4199*T1^6*T2^11 - 6936*T1^7*T2^11 - 2469*T1^8*T2^11 + 
      19185*T1^9*T2^11 - 22311*T1^10*T2^11 + 10461*T1^11*T2^11 + 
      3903*T1^12*T2^11 - 4801*T1^13*T2^11 + 1143*T1^14*T2^11 + 
      182*T1^15*T2^11 - 144*T1^16*T2^11 - 59*T1^4*T2^12 + 413*T1^5*T2^12 - 
      818*T1^6*T2^12 - 605*T1^7*T2^12 + 5949*T1^8*T2^12 - 9941*T1^9*T2^12 + 
      4443*T1^10*T2^12 + 3903*T1^11*T2^12 - 7915*T1^12*T2^12 + 
      3523*T1^13*T2^12 + 142*T1^14*T2^12 - 567*T1^15*T2^12 + 
      177*T1^16*T2^12 - 168*T1^6*T2^13 + 833*T1^7*T2^13 - 1790*T1^8*T2^13 + 
      931*T1^9*T2^13 + 2807*T1^10*T2^13 - 4801*T1^11*T2^13 + 
      3523*T1^12*T2^13 + 58*T1^13*T2^13 - 1279*T1^14*T2^13 + 
      672*T1^15*T2^13 - 144*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 - 
      37*T1^8*T2^14 + 689*T1^9*T2^14 - 1538*T1^10*T2^14 + 1143*T1^11*T2^14 + 
      142*T1^12*T2^14 - 1279*T1^13*T2^14 + 1067*T1^14*T2^14 - 
      406*T1^15*T2^14 + 72*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 
      189*T1^9*T2^15 + 168*T1^10*T2^15 + 182*T1^11*T2^15 - 567*T1^12*T2^15 + 
      672*T1^13*T2^15 - 406*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 
      3*T1^8*T2^16 - 21*T1^9*T2^16 + 72*T1^10*T2^16 - 144*T1^11*T2^16 + 
      177*T1^12*T2^16 - 144*T1^13*T2^16 + 72*T1^14*T2^16 - 21*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 114] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   (-2*(-162 + 848*T1 - 1849*T1^2 + 2369*T1^3 - 1849*T1^4 + 848*T1^5 - 
      162*T1^6 + 848*T2 - 3766*T1*T2 + 6145*T1^2*T2 - 4668*T1^3*T2 - 
      258*T1^4*T2 + 3331*T1^5*T2 - 2716*T1^6*T2 + 680*T1^7*T2 - 1849*T2^2 + 
      6145*T1*T2^2 - 3641*T1^2*T2^2 - 7827*T1^3*T2^2 + 18441*T1^4*T2^2 - 
      14819*T1^5*T2^2 + 4087*T1^6*T2^2 + 2281*T1^7*T2^2 - 1113*T1^8*T2^2 + 
      2369*T2^3 - 4668*T1*T2^3 - 7827*T1^2*T2^3 + 24904*T1^3*T2^3 - 
      25359*T1^4*T2^3 + 1638*T1^5*T2^3 + 14845*T1^6*T2^3 - 12036*T1^7*T2^3 + 
      834*T1^8*T2^3 + 953*T1^9*T2^3 - 1849*T2^4 - 258*T1*T2^4 + 
      18441*T1^2*T2^4 - 25359*T1^3*T2^4 + 4085*T1^4*T2^4 + 29096*T1^5*T2^4 - 
      27541*T1^6*T2^4 + 4967*T1^7*T2^4 + 9350*T1^8*T2^4 - 3030*T1^9*T2^4 - 
      377*T1^10*T2^4 + 848*T2^5 + 3331*T1*T2^5 - 14819*T1^2*T2^5 + 
      1638*T1^3*T2^5 + 29096*T1^4*T2^5 - 41826*T1^5*T2^5 + 8826*T1^6*T2^5 + 
      19804*T1^7*T2^5 - 18701*T1^8*T2^5 + 522*T1^9*T2^5 + 1945*T1^10*T2^5 + 
      8*T1^11*T2^5 - 162*T2^6 - 2716*T1*T2^6 + 4087*T1^2*T2^6 + 
      14845*T1^3*T2^6 - 27541*T1^4*T2^6 + 8826*T1^5*T2^6 + 30936*T1^6*T2^6 - 
      35546*T1^7*T2^6 + 11501*T1^8*T2^6 + 8149*T1^9*T2^6 - 3763*T1^10*T2^6 - 
      196*T1^11*T2^6 + 30*T1^12*T2^6 + 680*T1*T2^7 + 2281*T1^2*T2^7 - 
      12036*T1^3*T2^7 + 4967*T1^4*T2^7 + 19804*T1^5*T2^7 - 35546*T1^6*T2^7 + 
      15106*T1^7*T2^7 + 10512*T1^8*T2^7 - 15372*T1^9*T2^7 + 3305*T1^10*T2^7 + 
      895*T1^11*T2^7 - 160*T1^12*T2^7 - 1113*T1^2*T2^8 + 834*T1^3*T2^8 + 
      9350*T1^4*T2^8 - 18701*T1^5*T2^8 + 11501*T1^6*T2^8 + 10512*T1^7*T2^8 - 
      20125*T1^8*T2^8 + 11625*T1^9*T2^8 + 259*T1^10*T2^8 - 1938*T1^11*T2^8 + 
      359*T1^12*T2^8 + 953*T1^3*T2^9 - 3030*T1^4*T2^9 + 522*T1^5*T2^9 + 
      8149*T1^6*T2^9 - 15372*T1^7*T2^9 + 11625*T1^8*T2^9 - 1910*T1^9*T2^9 - 
      3687*T1^10*T2^9 + 2472*T1^11*T2^9 - 463*T1^12*T2^9 - 377*T1^4*T2^10 + 
      1945*T1^5*T2^10 - 3763*T1^6*T2^10 + 3305*T1^7*T2^10 + 259*T1^8*T2^10 - 
      3687*T1^9*T2^10 + 3965*T1^10*T2^10 - 1919*T1^11*T2^10 + 
      359*T1^12*T2^10 + 8*T1^5*T2^11 - 196*T1^6*T2^11 + 895*T1^7*T2^11 - 
      1938*T1^8*T2^11 + 2472*T1^9*T2^11 - 1919*T1^10*T2^11 + 
      854*T1^11*T2^11 - 160*T1^12*T2^11 + 30*T1^6*T2^12 - 160*T1^7*T2^12 + 
      359*T1^8*T2^12 - 463*T1^9*T2^12 + 359*T1^10*T2^12 - 160*T1^11*T2^12 + 
      30*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 115] -> 
  {(1 - 7*T + 25*T^2 - 50*T^3 + 63*T^4 - 50*T^5 + 25*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 100*T1^2 + 200*T1^3 - 252*T1^4 + 200*T1^5 - 100*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 553*T1^2*T2 - 875*T1^3*T2 + 
     714*T1^4*T2 - 77*T1^5*T2 - 350*T1^6*T2 + 329*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 100*T2^2 + 553*T1*T2^2 - 1521*T1^2*T2^2 + 1665*T1^3*T2^2 - 
     177*T1^4*T2^2 - 1793*T1^5*T2^2 + 1723*T1^6*T2^2 - 485*T1^7*T2^2 - 
     321*T1^8*T2^2 + 203*T1^9*T2^2 - 50*T1^10*T2^2 + 200*T2^3 - 875*T1*T2^3 + 
     1665*T1^2*T2^3 + 801*T1^3*T2^3 - 5345*T1^4*T2^3 + 6883*T1^5*T2^3 - 
     1642*T1^6*T2^3 - 2720*T1^7*T2^3 + 2851*T1^8*T2^3 - 685*T1^9*T2^3 + 
     50*T1^11*T2^3 - 252*T2^4 + 714*T1*T2^4 - 177*T1^2*T2^4 - 
     5345*T1^3*T2^4 + 7605*T1^4*T2^4 + 824*T1^5*T2^4 - 16001*T1^6*T2^4 + 
     16588*T1^7*T2^4 - 6871*T1^8*T2^4 - 1145*T1^9*T2^4 + 1223*T1^10*T2^4 - 
     350*T1^11*T2^4 + 200*T2^5 - 77*T1*T2^5 - 1793*T1^2*T2^5 + 
     6883*T1^3*T2^5 + 824*T1^4*T2^5 - 21233*T1^5*T2^5 + 34783*T1^6*T2^5 - 
     15242*T1^7*T2^5 - 7343*T1^8*T2^5 + 12547*T1^9*T2^5 - 3692*T1^10*T2^5 - 
     32*T1^11*T2^5 + 350*T1^12*T2^5 - 50*T1^13*T2^5 - 100*T2^6 - 
     350*T1*T2^6 + 1723*T1^2*T2^6 - 1642*T1^3*T2^6 - 16001*T1^4*T2^6 + 
     34783*T1^5*T2^6 - 26361*T1^6*T2^6 - 17543*T1^7*T2^6 + 36739*T1^8*T2^6 - 
     21367*T1^9*T2^6 - 951*T1^10*T2^6 + 3808*T1^11*T2^6 - 1177*T1^12*T2^6 + 
     50*T1^14*T2^6 + 28*T2^7 + 329*T1*T2^7 - 485*T1^2*T2^7 - 2720*T1^3*T2^7 + 
     16588*T1^4*T2^7 - 15242*T1^5*T2^7 - 17543*T1^6*T2^7 + 58430*T1^7*T2^7 - 
     43878*T1^8*T2^7 - 393*T1^9*T2^7 + 22533*T1^10*T2^7 - 11299*T1^11*T2^7 + 
     955*T1^12*T2^7 + 665*T1^13*T2^7 - 203*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 321*T1^2*T2^8 + 2851*T1^3*T2^8 - 6871*T1^4*T2^8 - 
     7343*T1^5*T2^8 + 36739*T1^6*T2^8 - 43878*T1^7*T2^8 - 2556*T1^8*T2^8 + 
     45622*T1^9*T2^8 - 37761*T1^10*T2^8 + 5779*T1^11*T2^8 + 6433*T1^12*T2^8 - 
     2699*T1^13*T2^8 + 321*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 203*T1^2*T2^9 - 685*T1^3*T2^9 - 1145*T1^4*T2^9 + 
     12547*T1^5*T2^9 - 21367*T1^6*T2^9 - 393*T1^7*T2^9 + 45622*T1^8*T2^9 - 
     56686*T1^9*T2^9 + 16757*T1^10*T2^9 + 16408*T1^11*T2^9 - 
     15340*T1^12*T2^9 + 2530*T1^13*T2^9 + 465*T1^14*T2^9 - 329*T1^15*T2^9 - 
     28*T1^16*T2^9 - 50*T1^2*T2^10 + 1223*T1^4*T2^10 - 3692*T1^5*T2^10 - 
     951*T1^6*T2^10 + 22533*T1^7*T2^10 - 37761*T1^8*T2^10 + 
     16757*T1^9*T2^10 + 25339*T1^10*T2^10 - 33617*T1^11*T2^10 + 
     14099*T1^12*T2^10 + 1758*T1^13*T2^10 - 1677*T1^14*T2^10 + 
     350*T1^15*T2^10 + 100*T1^16*T2^10 + 50*T1^3*T2^11 - 350*T1^4*T2^11 - 
     32*T1^5*T2^11 + 3808*T1^6*T2^11 - 11299*T1^7*T2^11 + 5779*T1^8*T2^11 + 
     16408*T1^9*T2^11 - 33617*T1^10*T2^11 + 19669*T1^11*T2^11 + 
     424*T1^12*T2^11 - 6767*T1^13*T2^11 + 1729*T1^14*T2^11 + 77*T1^15*T2^11 - 
     200*T1^16*T2^11 + 350*T1^5*T2^12 - 1177*T1^6*T2^12 + 955*T1^7*T2^12 + 
     6433*T1^8*T2^12 - 15340*T1^9*T2^12 + 14099*T1^10*T2^12 + 
     424*T1^11*T2^12 - 8043*T1^12*T2^12 + 5155*T1^13*T2^12 + 
     223*T1^14*T2^12 - 714*T1^15*T2^12 + 252*T1^16*T2^12 - 50*T1^5*T2^13 + 
     665*T1^7*T2^13 - 2699*T1^8*T2^13 + 2530*T1^9*T2^13 + 1758*T1^10*T2^13 - 
     6767*T1^11*T2^13 + 5155*T1^12*T2^13 - 649*T1^13*T2^13 - 
     1685*T1^14*T2^13 + 875*T1^15*T2^13 - 200*T1^16*T2^13 + 50*T1^6*T2^14 - 
     203*T1^7*T2^14 + 321*T1^8*T2^14 + 465*T1^9*T2^14 - 1677*T1^10*T2^14 + 
     1729*T1^11*T2^14 + 223*T1^12*T2^14 - 1685*T1^13*T2^14 + 
     1521*T1^14*T2^14 - 553*T1^15*T2^14 + 100*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 329*T1^9*T2^15 + 350*T1^10*T2^15 + 77*T1^11*T2^15 - 
     714*T1^12*T2^15 + 875*T1^13*T2^15 - 553*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 100*T1^10*T2^16 - 
     200*T1^11*T2^16 + 252*T1^12*T2^16 - 200*T1^13*T2^16 + 100*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 116] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 108*T1^3 - 129*T1^4 + 108*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 476*T1^3*T2 + 
      399*T1^4*T2 - 154*T1^5*T2 - 84*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 325*T1^3*T2^2 + 
      570*T1^4*T2^2 - 1355*T1^5*T2^2 + 1490*T1^6*T2^2 - 835*T1^7*T2^2 + 
      231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 108*T2^3 - 476*T1*T2^3 + 
      325*T1^2*T2^3 + 752*T1^3*T2^3 - 2633*T1^4*T2^3 + 3089*T1^5*T2^3 - 
      1923*T1^6*T2^3 - 193*T1^7*T2^3 + 968*T1^8*T2^3 - 715*T1^9*T2^3 + 
      140*T1^10*T2^3 - 129*T2^4 + 399*T1*T2^4 + 570*T1^2*T2^4 - 
      2633*T1^3*T2^4 + 4681*T1^4*T2^4 - 3183*T1^5*T2^4 - 247*T1^6*T2^4 + 
      3421*T1^7*T2^4 - 2711*T1^8*T2^4 + 751*T1^9*T2^4 + 482*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 108*T2^5 - 154*T1*T2^5 - 
      1355*T1^2*T2^5 + 3089*T1^3*T2^5 - 3183*T1^4*T2^5 - 1245*T1^5*T2^5 + 
      5339*T1^6*T2^5 - 5833*T1^7*T2^5 + 585*T1^8*T2^5 + 3048*T1^9*T2^5 - 
      2731*T1^10*T2^5 + 646*T1^11*T2^5 + 203*T1^12*T2^5 - 72*T1^13*T2^5 - 
      60*T2^6 - 84*T1*T2^6 + 1490*T1^2*T2^6 - 1923*T1^3*T2^6 - 
      247*T1^4*T2^6 + 5339*T1^5*T2^6 - 6514*T1^6*T2^6 + 1660*T1^7*T2^6 + 
      6094*T1^8*T2^6 - 6525*T1^9*T2^6 + 1305*T1^10*T2^6 + 1877*T1^11*T2^6 - 
      1446*T1^12*T2^6 + 84*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 835*T1^2*T2^7 - 193*T1^3*T2^7 + 3421*T1^4*T2^7 - 
      5833*T1^5*T2^7 + 1660*T1^6*T2^7 + 7689*T1^7*T2^7 - 12151*T1^8*T2^7 + 
      5268*T1^9*T2^7 + 3955*T1^10*T2^7 - 4302*T1^11*T2^7 + 1143*T1^12*T2^7 + 
      925*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      231*T1^2*T2^8 + 968*T1^3*T2^8 - 2711*T1^4*T2^8 + 585*T1^5*T2^8 + 
      6094*T1^6*T2^8 - 12151*T1^7*T2^8 + 5940*T1^8*T2^8 + 6595*T1^9*T2^8 - 
      12298*T1^10*T2^8 + 4587*T1^11*T2^8 + 905*T1^12*T2^8 - 2048*T1^13*T2^8 - 
      67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 
      42*T1^2*T2^9 - 715*T1^3*T2^9 + 751*T1^4*T2^9 + 3048*T1^5*T2^9 - 
      6525*T1^6*T2^9 + 5268*T1^7*T2^9 + 6595*T1^8*T2^9 - 13245*T1^9*T2^9 + 
      8876*T1^10*T2^9 + 3263*T1^11*T2^9 - 4675*T1^12*T2^9 + 2087*T1^13*T2^9 + 
      1045*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 20*T1^2*T2^10 + 
      140*T1^3*T2^10 + 482*T1^4*T2^10 - 2731*T1^5*T2^10 + 1305*T1^6*T2^10 + 
      3955*T1^7*T2^10 - 12298*T1^8*T2^10 + 8876*T1^9*T2^10 + 
      310*T1^10*T2^10 - 7909*T1^11*T2^10 + 2857*T1^12*T2^10 + 
      1069*T1^13*T2^10 - 2454*T1^14*T2^10 + 308*T1^15*T2^10 + 
      100*T1^16*T2^10 - 301*T1^4*T2^11 + 646*T1^5*T2^11 + 1877*T1^6*T2^11 - 
      4302*T1^7*T2^11 + 4587*T1^8*T2^11 + 3263*T1^9*T2^11 - 
      7909*T1^10*T2^11 + 6417*T1^11*T2^11 + 1929*T1^12*T2^11 - 
      3943*T1^13*T2^11 + 2647*T1^14*T2^11 + 56*T1^15*T2^11 - 
      180*T1^16*T2^11 + 43*T1^4*T2^12 + 203*T1^5*T2^12 - 1446*T1^6*T2^12 + 
      1143*T1^7*T2^12 + 905*T1^8*T2^12 - 4675*T1^9*T2^12 + 2857*T1^10*T2^12 + 
      1929*T1^11*T2^12 - 6487*T1^12*T2^12 + 4527*T1^13*T2^12 - 
      1534*T1^14*T2^12 - 497*T1^15*T2^12 + 215*T1^16*T2^12 - 72*T1^5*T2^13 + 
      84*T1^6*T2^13 + 925*T1^7*T2^13 - 2048*T1^8*T2^13 + 2087*T1^9*T2^13 + 
      1069*T1^10*T2^13 - 3943*T1^11*T2^13 + 4527*T1^12*T2^13 - 
      1832*T1^13*T2^13 - 115*T1^14*T2^13 + 700*T1^15*T2^13 - 
      180*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 
      1045*T1^9*T2^14 - 2454*T1^10*T2^14 + 2647*T1^11*T2^14 - 
      1534*T1^12*T2^14 - 115*T1^13*T2^14 + 693*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 308*T1^10*T2^15 + 56*T1^11*T2^15 - 497*T1^12*T2^15 + 
      700*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 180*T1^11*T2^16 + 
      215*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 117] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   (-2*(-162 + 848*T1 - 1850*T1^2 + 2371*T1^3 - 1850*T1^4 + 848*T1^5 - 
      162*T1^6 + 848*T2 - 3764*T1*T2 + 6143*T1^2*T2 - 4668*T1^3*T2 - 
      258*T1^4*T2 + 3329*T1^5*T2 - 2714*T1^6*T2 + 680*T1^7*T2 - 1850*T2^2 + 
      6143*T1*T2^2 - 3639*T1^2*T2^2 - 7827*T1^3*T2^2 + 18443*T1^4*T2^2 - 
      14819*T1^5*T2^2 + 4089*T1^6*T2^2 + 2279*T1^7*T2^2 - 1114*T1^8*T2^2 + 
      2371*T2^3 - 4668*T1*T2^3 - 7827*T1^2*T2^3 + 24904*T1^3*T2^3 - 
      25361*T1^4*T2^3 + 1636*T1^5*T2^3 + 14845*T1^6*T2^3 - 12036*T1^7*T2^3 + 
      834*T1^8*T2^3 + 955*T1^9*T2^3 - 1850*T2^4 - 258*T1*T2^4 + 
      18443*T1^2*T2^4 - 25361*T1^3*T2^4 + 4085*T1^4*T2^4 + 29098*T1^5*T2^4 - 
      27541*T1^6*T2^4 + 4965*T1^7*T2^4 + 9352*T1^8*T2^4 - 3030*T1^9*T2^4 - 
      378*T1^10*T2^4 + 848*T2^5 + 3329*T1*T2^5 - 14819*T1^2*T2^5 + 
      1636*T1^3*T2^5 + 29098*T1^4*T2^5 - 41824*T1^5*T2^5 + 8828*T1^6*T2^5 + 
      19806*T1^7*T2^5 - 18703*T1^8*T2^5 + 522*T1^9*T2^5 + 1943*T1^10*T2^5 + 
      8*T1^11*T2^5 - 162*T2^6 - 2714*T1*T2^6 + 4089*T1^2*T2^6 + 
      14845*T1^3*T2^6 - 27541*T1^4*T2^6 + 8828*T1^5*T2^6 + 30924*T1^6*T2^6 - 
      35544*T1^7*T2^6 + 11501*T1^8*T2^6 + 8149*T1^9*T2^6 - 3761*T1^10*T2^6 - 
      194*T1^11*T2^6 + 30*T1^12*T2^6 + 680*T1*T2^7 + 2279*T1^2*T2^7 - 
      12036*T1^3*T2^7 + 4965*T1^4*T2^7 + 19806*T1^5*T2^7 - 35544*T1^6*T2^7 + 
      15108*T1^7*T2^7 + 10514*T1^8*T2^7 - 15374*T1^9*T2^7 + 3305*T1^10*T2^7 + 
      893*T1^11*T2^7 - 160*T1^12*T2^7 - 1114*T1^2*T2^8 + 834*T1^3*T2^8 + 
      9352*T1^4*T2^8 - 18703*T1^5*T2^8 + 11501*T1^6*T2^8 + 10514*T1^7*T2^8 - 
      20125*T1^8*T2^8 + 11623*T1^9*T2^8 + 261*T1^10*T2^8 - 1938*T1^11*T2^8 + 
      358*T1^12*T2^8 + 955*T1^3*T2^9 - 3030*T1^4*T2^9 + 522*T1^5*T2^9 + 
      8149*T1^6*T2^9 - 15374*T1^7*T2^9 + 11623*T1^8*T2^9 - 1910*T1^9*T2^9 - 
      3687*T1^10*T2^9 + 2472*T1^11*T2^9 - 461*T1^12*T2^9 - 378*T1^4*T2^10 + 
      1943*T1^5*T2^10 - 3761*T1^6*T2^10 + 3305*T1^7*T2^10 + 261*T1^8*T2^10 - 
      3687*T1^9*T2^10 + 3967*T1^10*T2^10 - 1921*T1^11*T2^10 + 
      358*T1^12*T2^10 + 8*T1^5*T2^11 - 194*T1^6*T2^11 + 893*T1^7*T2^11 - 
      1938*T1^8*T2^11 + 2472*T1^9*T2^11 - 1921*T1^10*T2^11 + 
      856*T1^11*T2^11 - 160*T1^12*T2^11 + 30*T1^6*T2^12 - 160*T1^7*T2^12 + 
      358*T1^8*T2^12 - 461*T1^9*T2^12 + 358*T1^10*T2^12 - 160*T1^11*T2^12 + 
      30*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 118] -> 
  {-((2 - 13*T + 32*T^2 - 43*T^3 + 32*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 366*T1^2 + 491*T1^3 - 366*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1743*T1^2*T2 - 1641*T1^3*T2 + 309*T1^4*T2 + 
      573*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 366*T2^2 + 1743*T1*T2^2 - 
      1856*T1^2*T2^2 - 1504*T1^3*T2^2 + 5884*T1^4*T2^2 - 5344*T1^5*T2^2 + 
      1984*T1^6*T2^2 + 79*T1^7*T2^2 - 110*T1^8*T2^2 + 491*T2^3 - 
      1641*T1*T2^3 - 1504*T1^2*T2^3 + 9568*T1^3*T2^3 - 13748*T1^4*T2^3 + 
      5842*T1^5*T2^3 + 2458*T1^6*T2^3 - 3520*T1^7*T2^3 + 881*T1^8*T2^3 - 
      25*T1^9*T2^3 - 366*T2^4 + 309*T1*T2^4 + 5884*T1^2*T2^4 - 
      13748*T1^3*T2^4 + 9369*T1^4*T2^4 + 8857*T1^5*T2^4 - 16491*T1^6*T2^4 + 
      8784*T1^7*T2^4 - 458*T1^8*T2^4 - 783*T1^9*T2^4 + 146*T1^10*T2^4 + 
      149*T2^5 + 573*T1*T2^5 - 5344*T1^2*T2^5 + 5842*T1^3*T2^5 + 
      8857*T1^4*T2^5 - 27130*T1^5*T2^5 + 21860*T1^6*T2^5 - 1063*T1^7*T2^5 - 
      7864*T1^8*T2^5 + 3968*T1^9*T2^5 - 233*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1984*T1^2*T2^6 + 2458*T1^3*T2^6 - 
      16491*T1^4*T2^6 + 21860*T1^5*T2^6 - 3012*T1^6*T2^6 - 19612*T1^7*T2^6 + 
      16649*T1^8*T2^6 - 3566*T1^9*T2^6 - 1940*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 79*T1^2*T2^7 - 3520*T1^3*T2^7 + 
      8784*T1^4*T2^7 - 1063*T1^5*T2^7 - 19612*T1^6*T2^7 + 29378*T1^7*T2^7 - 
      10983*T1^8*T2^7 - 4922*T1^9*T2^7 + 5792*T1^10*T2^7 - 727*T1^11*T2^7 - 
      163*T1^12*T2^7 - 110*T1^2*T2^8 + 881*T1^3*T2^8 - 458*T1^4*T2^8 - 
      7864*T1^5*T2^8 + 16649*T1^6*T2^8 - 10983*T1^7*T2^8 - 9211*T1^8*T2^8 + 
      14668*T1^9*T2^8 - 6800*T1^10*T2^8 - 211*T1^11*T2^8 + 402*T1^12*T2^8 - 
      25*T1^3*T2^9 - 783*T1^4*T2^9 + 3968*T1^5*T2^9 - 3566*T1^6*T2^9 - 
      4922*T1^7*T2^9 + 14668*T1^8*T2^9 - 10676*T1^9*T2^9 + 1952*T1^10*T2^9 + 
      1739*T1^11*T2^9 - 541*T1^12*T2^9 + 146*T1^4*T2^10 - 233*T1^5*T2^10 - 
      1940*T1^6*T2^10 + 5792*T1^7*T2^10 - 6800*T1^8*T2^10 + 1952*T1^9*T2^10 + 
      1900*T1^10*T2^10 - 1897*T1^11*T2^10 + 402*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 727*T1^7*T2^11 - 211*T1^8*T2^11 + 
      1739*T1^9*T2^11 - 1897*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 402*T1^8*T2^12 - 
      541*T1^9*T2^12 + 402*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 119] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-6 + 36*T1 - 90*T1^2 + 114*T1^3 - 90*T1^4 + 36*T1^5 - 6*T1^6 + 36*T2 - 
      187*T1*T2 + 366*T1^2*T2 - 249*T1^3*T2 - 11*T1^4*T2 + 219*T1^5*T2 - 
      138*T1^6*T2 + 29*T1^7*T2 - 90*T2^2 + 366*T1*T2^2 - 364*T1^2*T2^2 - 
      566*T1^3*T2^2 + 1144*T1^4*T2^2 - 1047*T1^5*T2^2 + 154*T1^6*T2^2 + 
      144*T1^7*T2^2 - 53*T1^8*T2^2 + 114*T2^3 - 249*T1*T2^3 - 566*T1^2*T2^3 + 
      2453*T1^3*T2^3 - 2013*T1^4*T2^3 + 369*T1^5*T2^3 + 1516*T1^6*T2^3 - 
      887*T1^7*T2^3 + 90*T1^8*T2^3 + 38*T1^9*T2^3 - 90*T2^4 - 11*T1*T2^4 + 
      1144*T1^2*T2^4 - 2013*T1^3*T2^4 - 1344*T1^4*T2^4 + 3981*T1^5*T2^4 - 
      4381*T1^6*T2^4 + 932*T1^7*T2^4 + 451*T1^8*T2^4 - 186*T1^9*T2^4 - 
      7*T1^10*T2^4 + 36*T2^5 + 219*T1*T2^5 - 1047*T1^2*T2^5 + 369*T1^3*T2^5 + 
      3981*T1^4*T2^5 - 4679*T1^5*T2^5 + 2213*T1^6*T2^5 + 2049*T1^7*T2^5 - 
      1688*T1^8*T2^5 + 259*T1^9*T2^5 + 72*T1^10*T2^5 - 5*T1^11*T2^5 - 
      6*T2^6 - 138*T1*T2^6 + 154*T1^2*T2^6 + 1516*T1^3*T2^6 - 
      4381*T1^4*T2^6 + 2213*T1^5*T2^6 + 1644*T1^6*T2^6 - 3949*T1^7*T2^6 + 
      1523*T1^8*T2^6 + 284*T1^9*T2^6 - 260*T1^10*T2^6 + 18*T1^11*T2^6 + 
      2*T1^12*T2^6 + 29*T1*T2^7 + 144*T1^2*T2^7 - 887*T1^3*T2^7 + 
      932*T1^4*T2^7 + 2049*T1^5*T2^7 - 3949*T1^6*T2^7 + 2943*T1^7*T2^7 + 
      117*T1^8*T2^7 - 1125*T1^9*T2^7 + 419*T1^10*T2^7 - 3*T1^11*T2^7 - 
      12*T1^12*T2^7 - 53*T1^2*T2^8 + 90*T1^3*T2^8 + 451*T1^4*T2^8 - 
      1688*T1^5*T2^8 + 1523*T1^6*T2^8 + 117*T1^7*T2^8 - 1514*T1^8*T2^8 + 
      1257*T1^9*T2^8 - 242*T1^10*T2^8 - 85*T1^11*T2^8 + 30*T1^12*T2^8 + 
      38*T1^3*T2^9 - 186*T1^4*T2^9 + 259*T1^5*T2^9 + 284*T1^6*T2^9 - 
      1125*T1^7*T2^9 + 1257*T1^8*T2^9 - 653*T1^9*T2^9 - 62*T1^10*T2^9 + 
      153*T1^11*T2^9 - 38*T1^12*T2^9 - 7*T1^4*T2^10 + 72*T1^5*T2^10 - 
      260*T1^6*T2^10 + 419*T1^7*T2^10 - 242*T1^8*T2^10 - 62*T1^9*T2^10 + 
      258*T1^10*T2^10 - 150*T1^11*T2^10 + 30*T1^12*T2^10 - 5*T1^5*T2^11 + 
      18*T1^6*T2^11 - 3*T1^7*T2^11 - 85*T1^8*T2^11 + 153*T1^9*T2^11 - 
      150*T1^10*T2^11 + 67*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 
      12*T1^7*T2^12 + 30*T1^8*T2^12 - 38*T1^9*T2^12 + 30*T1^10*T2^12 - 
      12*T1^11*T2^12 + 2*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 120] -> 
  {-((1 - 8*T + 26*T^2 - 51*T^3 + 63*T^4 - 51*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 130*T1^2 + 255*T1^3 - 315*T1^4 + 255*T1^5 - 
      130*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 784*T1^2*T2 - 
      1208*T1^3*T2 + 888*T1^4*T2 - 24*T1^5*T2 - 592*T1^6*T2 + 512*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 130*T2^2 + 784*T1*T2^2 - 1416*T1^2*T2^2 + 
      623*T1^3*T2^2 + 2782*T1^4*T2^2 - 5448*T1^5*T2^2 + 4706*T1^6*T2^2 - 
      1613*T1^7*T2^2 - 116*T1^8*T2^2 + 368*T1^9*T2^2 - 78*T1^10*T2^2 + 
      255*T2^3 - 1208*T1*T2^3 + 623*T1^2*T2^3 + 3655*T1^3*T2^3 - 
      10828*T1^4*T2^3 + 10173*T1^5*T2^3 - 1758*T1^6*T2^3 - 5675*T1^7*T2^3 + 
      4539*T1^8*T2^3 - 1483*T1^9*T2^3 - 192*T1^10*T2^3 + 102*T1^11*T2^3 - 
      315*T2^4 + 888*T1*T2^4 + 2782*T1^2*T2^4 - 10828*T1^3*T2^4 + 
      17026*T1^4*T2^4 - 4196*T1^5*T2^4 - 12438*T1^6*T2^4 + 15160*T1^7*T2^4 - 
      2438*T1^8*T2^4 - 3280*T1^9*T2^4 + 2806*T1^10*T2^4 - 312*T1^11*T2^4 - 
      63*T1^12*T2^4 + 255*T2^5 - 24*T1*T2^5 - 5448*T1^2*T2^5 + 
      10173*T1^3*T2^5 - 4196*T1^4*T2^5 - 23455*T1^5*T2^5 + 32016*T1^6*T2^5 - 
      11394*T1^7*T2^5 - 15445*T1^8*T2^5 + 13279*T1^9*T2^5 - 4200*T1^10*T2^5 - 
      1308*T1^11*T2^5 + 504*T1^12*T2^5 - 130*T2^6 - 592*T1*T2^6 + 
      4706*T1^2*T2^6 - 1758*T1^3*T2^6 - 12438*T1^4*T2^6 + 32016*T1^5*T2^6 - 
      7585*T1^6*T2^6 - 34139*T1^7*T2^6 + 47351*T1^8*T2^6 - 15624*T1^9*T2^6 - 
      3942*T1^10*T2^6 + 6510*T1^11*T2^6 - 1018*T1^12*T2^6 - 208*T1^13*T2^6 + 
      26*T1^14*T2^6 + 40*T2^7 + 512*T1*T2^7 - 1613*T1^2*T2^7 - 
      5675*T1^3*T2^7 + 15160*T1^4*T2^7 - 11394*T1^5*T2^7 - 34139*T1^6*T2^7 + 
      60525*T1^7*T2^7 - 34307*T1^8*T2^7 - 16552*T1^9*T2^7 + 
      23556*T1^10*T2^7 - 9839*T1^11*T2^7 - 1248*T1^12*T2^7 + 
      1273*T1^13*T2^7 - 80*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 116*T1^2*T2^8 + 4539*T1^3*T2^8 - 2438*T1^4*T2^8 - 
      15445*T1^5*T2^8 + 47351*T1^6*T2^8 - 34307*T1^7*T2^8 - 17784*T1^8*T2^8 + 
      51431*T1^9*T2^8 - 28063*T1^10*T2^8 + 485*T1^11*T2^8 + 7170*T1^12*T2^8 - 
      2315*T1^13*T2^8 - 276*T1^14*T2^8 + 104*T1^15*T2^8 + 3*T1^16*T2^8 + 
      32*T1*T2^9 + 368*T1^2*T2^9 - 1483*T1^3*T2^9 - 3280*T1^4*T2^9 + 
      13279*T1^5*T2^9 - 15624*T1^6*T2^9 - 16552*T1^7*T2^9 + 51431*T1^8*T2^9 - 
      43401*T1^9*T2^9 + 1035*T1^10*T2^9 + 19326*T1^11*T2^9 - 
      11720*T1^12*T2^9 + 1147*T1^13*T2^9 + 1403*T1^14*T2^9 - 224*T1^15*T2^9 - 
      24*T1^16*T2^9 - 78*T1^2*T2^10 - 192*T1^3*T2^10 + 2806*T1^4*T2^10 - 
      4200*T1^5*T2^10 - 3942*T1^6*T2^10 + 23556*T1^7*T2^10 - 
      28063*T1^8*T2^10 + 1035*T1^9*T2^10 + 26873*T1^10*T2^10 - 
      24084*T1^11*T2^10 + 4554*T1^12*T2^10 + 4068*T1^13*T2^10 - 
      2918*T1^14*T2^10 + 192*T1^15*T2^10 + 78*T1^16*T2^10 + 102*T1^3*T2^11 - 
      312*T1^4*T2^11 - 1308*T1^5*T2^11 + 6510*T1^6*T2^11 - 9839*T1^7*T2^11 + 
      485*T1^8*T2^11 + 19326*T1^9*T2^11 - 24084*T1^10*T2^11 + 
      8495*T1^11*T2^11 + 7636*T1^12*T2^11 - 7863*T1^13*T2^11 + 
      2832*T1^14*T2^11 + 216*T1^15*T2^11 - 153*T1^16*T2^11 - 63*T1^4*T2^12 + 
      504*T1^5*T2^12 - 1018*T1^6*T2^12 - 1248*T1^7*T2^12 + 7170*T1^8*T2^12 - 
      11720*T1^9*T2^12 + 4554*T1^10*T2^12 + 7636*T1^11*T2^12 - 
      12294*T1^12*T2^12 + 6300*T1^13*T2^12 - 994*T1^14*T2^12 - 
      696*T1^15*T2^12 + 189*T1^16*T2^12 - 208*T1^6*T2^13 + 1273*T1^7*T2^13 - 
      2315*T1^8*T2^13 + 1147*T1^9*T2^13 + 4068*T1^10*T2^13 - 
      7863*T1^11*T2^13 + 6300*T1^12*T2^13 - 1431*T1^13*T2^13 - 
      833*T1^14*T2^13 + 808*T1^15*T2^13 - 153*T1^16*T2^13 + 26*T1^6*T2^14 - 
      80*T1^7*T2^14 - 276*T1^8*T2^14 + 1403*T1^9*T2^14 - 2918*T1^10*T2^14 + 
      2832*T1^11*T2^14 - 994*T1^12*T2^14 - 833*T1^13*T2^14 + 
      1024*T1^14*T2^14 - 496*T1^15*T2^14 + 78*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 224*T1^9*T2^15 + 192*T1^10*T2^15 + 216*T1^11*T2^15 - 
      696*T1^12*T2^15 + 808*T1^13*T2^15 - 496*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 78*T1^10*T2^16 - 
      153*T1^11*T2^16 + 189*T1^12*T2^16 - 153*T1^13*T2^16 + 78*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 121] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 378*T1^2 + 515*T1^3 - 378*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1821*T1^2*T2 - 1745*T1^3*T2 + 283*T1^4*T2 + 
      625*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 378*T2^2 + 1821*T1*T2^2 - 
      2256*T1^2*T2^2 - 1131*T1^3*T2^2 + 5992*T1^4*T2^2 - 5355*T1^5*T2^2 + 
      1836*T1^6*T2^2 + 105*T1^7*T2^2 - 114*T1^8*T2^2 + 515*T2^3 - 
      1745*T1*T2^3 - 1131*T1^2*T2^3 + 9911*T1^3*T2^3 - 15000*T1^4*T2^3 + 
      6042*T1^5*T2^3 + 2867*T1^6*T2^3 - 3606*T1^7*T2^3 + 907*T1^8*T2^3 - 
      25*T1^9*T2^3 - 378*T2^4 + 283*T1*T2^4 + 5992*T1^2*T2^4 - 
      15000*T1^3*T2^4 + 10734*T1^4*T2^4 + 10350*T1^5*T2^4 - 18522*T1^6*T2^4 + 
      9390*T1^7*T2^4 - 506*T1^8*T2^4 - 809*T1^9*T2^4 + 150*T1^10*T2^4 + 
      149*T2^5 + 625*T1*T2^5 - 5355*T1^2*T2^5 + 6042*T1^3*T2^5 + 
      10350*T1^4*T2^5 - 32406*T1^5*T2^5 + 26172*T1^6*T2^5 - 1761*T1^7*T2^5 - 
      8304*T1^8*T2^5 + 4116*T1^9*T2^5 - 259*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1836*T1^2*T2^6 + 2867*T1^3*T2^6 - 
      18522*T1^4*T2^6 + 26172*T1^5*T2^6 - 4332*T1^6*T2^6 - 22880*T1^7*T2^6 + 
      19368*T1^8*T2^6 - 4219*T1^9*T2^6 - 1804*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 105*T1^2*T2^7 - 3606*T1^3*T2^7 + 
      9390*T1^4*T2^7 - 1761*T1^5*T2^7 - 22880*T1^6*T2^7 + 35698*T1^7*T2^7 - 
      13872*T1^8*T2^7 - 4956*T1^9*T2^7 + 5865*T1^10*T2^7 - 779*T1^11*T2^7 - 
      163*T1^12*T2^7 - 114*T1^2*T2^8 + 907*T1^3*T2^8 - 506*T1^4*T2^8 - 
      8304*T1^5*T2^8 + 19368*T1^6*T2^8 - 13872*T1^7*T2^8 - 9888*T1^8*T2^8 + 
      16086*T1^9*T2^8 - 7004*T1^10*T2^8 - 185*T1^11*T2^8 + 414*T1^12*T2^8 - 
      25*T1^3*T2^9 - 809*T1^4*T2^9 + 4116*T1^5*T2^9 - 4219*T1^6*T2^9 - 
      4956*T1^7*T2^9 + 16086*T1^8*T2^9 - 11263*T1^9*T2^9 + 1641*T1^10*T2^9 + 
      1843*T1^11*T2^9 - 565*T1^12*T2^9 + 150*T1^4*T2^10 - 259*T1^5*T2^10 - 
      1804*T1^6*T2^10 + 5865*T1^7*T2^10 - 7004*T1^8*T2^10 + 1641*T1^9*T2^10 + 
      2288*T1^10*T2^10 - 1975*T1^11*T2^10 + 414*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 779*T1^7*T2^11 - 185*T1^8*T2^11 + 
      1843*T1^9*T2^11 - 1975*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 414*T1^8*T2^12 - 
      565*T1^9*T2^12 + 414*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 122] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 108*T1^3 - 129*T1^4 + 108*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 476*T1^3*T2 + 
      399*T1^4*T2 - 154*T1^5*T2 - 84*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 325*T1^3*T2^2 + 
      572*T1^4*T2^2 - 1359*T1^5*T2^2 + 1492*T1^6*T2^2 - 835*T1^7*T2^2 + 
      231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 108*T2^3 - 476*T1*T2^3 + 
      325*T1^2*T2^3 + 748*T1^3*T2^3 - 2629*T1^4*T2^3 + 3089*T1^5*T2^3 - 
      1923*T1^6*T2^3 - 189*T1^7*T2^3 + 964*T1^8*T2^3 - 715*T1^9*T2^3 + 
      140*T1^10*T2^3 - 129*T2^4 + 399*T1*T2^4 + 572*T1^2*T2^4 - 
      2629*T1^3*T2^4 + 4677*T1^4*T2^4 - 3183*T1^5*T2^4 - 251*T1^6*T2^4 + 
      3421*T1^7*T2^4 - 2715*T1^8*T2^4 + 755*T1^9*T2^4 + 484*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 108*T2^5 - 154*T1*T2^5 - 
      1359*T1^2*T2^5 + 3089*T1^3*T2^5 - 3183*T1^4*T2^5 - 1245*T1^5*T2^5 + 
      5343*T1^6*T2^5 - 5829*T1^7*T2^5 + 585*T1^8*T2^5 + 3048*T1^9*T2^5 - 
      2731*T1^10*T2^5 + 642*T1^11*T2^5 + 203*T1^12*T2^5 - 72*T1^13*T2^5 - 
      60*T2^6 - 84*T1*T2^6 + 1492*T1^2*T2^6 - 1923*T1^3*T2^6 - 
      251*T1^4*T2^6 + 5343*T1^5*T2^6 - 6514*T1^6*T2^6 + 1656*T1^7*T2^6 + 
      6094*T1^8*T2^6 - 6521*T1^9*T2^6 + 1301*T1^10*T2^6 + 1877*T1^11*T2^6 - 
      1444*T1^12*T2^6 + 84*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 835*T1^2*T2^7 - 189*T1^3*T2^7 + 3421*T1^4*T2^7 - 
      5829*T1^5*T2^7 + 1656*T1^6*T2^7 + 7685*T1^7*T2^7 - 12155*T1^8*T2^7 + 
      5264*T1^9*T2^7 + 3959*T1^10*T2^7 - 4302*T1^11*T2^7 + 1147*T1^12*T2^7 + 
      925*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      231*T1^2*T2^8 + 964*T1^3*T2^8 - 2715*T1^4*T2^8 + 585*T1^5*T2^8 + 
      6094*T1^6*T2^8 - 12155*T1^7*T2^8 + 5964*T1^8*T2^8 + 6591*T1^9*T2^8 - 
      12298*T1^10*T2^8 + 4587*T1^11*T2^8 + 901*T1^12*T2^8 - 2052*T1^13*T2^8 - 
      67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 
      42*T1^2*T2^9 - 715*T1^3*T2^9 + 755*T1^4*T2^9 + 3048*T1^5*T2^9 - 
      6521*T1^6*T2^9 + 5264*T1^7*T2^9 + 6591*T1^8*T2^9 - 13249*T1^9*T2^9 + 
      8872*T1^10*T2^9 + 3267*T1^11*T2^9 - 4675*T1^12*T2^9 + 2091*T1^13*T2^9 + 
      1045*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 20*T1^2*T2^10 + 
      140*T1^3*T2^10 + 484*T1^4*T2^10 - 2731*T1^5*T2^10 + 1301*T1^6*T2^10 + 
      3959*T1^7*T2^10 - 12298*T1^8*T2^10 + 8872*T1^9*T2^10 + 
      310*T1^10*T2^10 - 7905*T1^11*T2^10 + 2853*T1^12*T2^10 + 
      1069*T1^13*T2^10 - 2452*T1^14*T2^10 + 308*T1^15*T2^10 + 
      100*T1^16*T2^10 - 301*T1^4*T2^11 + 642*T1^5*T2^11 + 1877*T1^6*T2^11 - 
      4302*T1^7*T2^11 + 4587*T1^8*T2^11 + 3267*T1^9*T2^11 - 
      7905*T1^10*T2^11 + 6417*T1^11*T2^11 + 1929*T1^12*T2^11 - 
      3943*T1^13*T2^11 + 2643*T1^14*T2^11 + 56*T1^15*T2^11 - 
      180*T1^16*T2^11 + 43*T1^4*T2^12 + 203*T1^5*T2^12 - 1444*T1^6*T2^12 + 
      1147*T1^7*T2^12 + 901*T1^8*T2^12 - 4675*T1^9*T2^12 + 2853*T1^10*T2^12 + 
      1929*T1^11*T2^12 - 6491*T1^12*T2^12 + 4531*T1^13*T2^12 - 
      1532*T1^14*T2^12 - 497*T1^15*T2^12 + 215*T1^16*T2^12 - 72*T1^5*T2^13 + 
      84*T1^6*T2^13 + 925*T1^7*T2^13 - 2052*T1^8*T2^13 + 2091*T1^9*T2^13 + 
      1069*T1^10*T2^13 - 3943*T1^11*T2^13 + 4531*T1^12*T2^13 - 
      1836*T1^13*T2^13 - 115*T1^14*T2^13 + 700*T1^15*T2^13 - 
      180*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 
      1045*T1^9*T2^14 - 2452*T1^10*T2^14 + 2643*T1^11*T2^14 - 
      1532*T1^12*T2^14 - 115*T1^13*T2^14 + 693*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 308*T1^10*T2^15 + 56*T1^11*T2^15 - 497*T1^12*T2^15 + 
      700*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 180*T1^11*T2^16 + 
      215*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 123] -> 
  {(1 - 7*T + 19*T^2 - 30*T^3 + 35*T^4 - 30*T^5 + 19*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 38*T1^2 + 60*T1^3 - 70*T1^4 + 60*T1^5 - 38*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 217*T1^2*T2 - 287*T1^3*T2 + 280*T1^4*T2 - 
     175*T1^5*T2 + 56*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     38*T2^2 + 217*T1*T2^2 - 375*T1^2*T2^2 + 196*T1^3*T2^2 + 156*T1^4*T2^2 - 
     595*T1^5*T2^2 + 764*T1^6*T2^2 - 678*T1^7*T2^2 + 309*T1^8*T2^2 - 
     49*T1^9*T2^2 + 60*T2^3 - 287*T1*T2^3 + 196*T1^2*T2^3 + 711*T1^3*T2^3 - 
     1649*T1^4*T2^3 + 2285*T1^5*T2^3 - 1950*T1^6*T2^3 + 1088*T1^7*T2^3 + 
     43*T1^8*T2^3 - 450*T1^9*T2^3 + 210*T1^10*T2^3 - 30*T1^11*T2^3 - 
     70*T2^4 + 280*T1*T2^4 + 156*T1^2*T2^4 - 1649*T1^3*T2^4 + 
     2396*T1^4*T2^4 - 2051*T1^5*T2^4 + 310*T1^6*T2^4 + 1449*T1^7*T2^4 - 
     2504*T1^8*T2^4 + 1711*T1^9*T2^4 - 124*T1^10*T2^4 - 280*T1^11*T2^4 + 
     70*T1^12*T2^4 + 60*T2^5 - 175*T1*T2^5 - 595*T1^2*T2^5 + 2285*T1^3*T2^5 - 
     2051*T1^4*T2^5 + 311*T1^5*T2^5 + 1950*T1^6*T2^5 - 2985*T1^7*T2^5 + 
     2021*T1^8*T2^5 + 664*T1^9*T2^5 - 2620*T1^10*T2^5 + 1130*T1^11*T2^5 + 
     140*T1^12*T2^5 - 90*T1^13*T2^5 - 38*T2^6 + 56*T1*T2^6 + 764*T1^2*T2^6 - 
     1950*T1^3*T2^6 + 310*T1^4*T2^6 + 1950*T1^5*T2^6 - 2609*T1^6*T2^6 + 
     1629*T1^7*T2^6 + 1403*T1^8*T2^6 - 3500*T1^9*T2^6 + 3040*T1^10*T2^6 + 
     1280*T1^11*T2^6 - 1620*T1^12*T2^6 + 98*T1^13*T2^6 + 76*T1^14*T2^6 + 
     14*T2^7 + 35*T1*T2^7 - 678*T1^2*T2^7 + 1088*T1^3*T2^7 + 1449*T1^4*T2^7 - 
     2985*T1^5*T2^7 + 1629*T1^6*T2^7 - 546*T1^7*T2^7 - 1904*T1^8*T2^7 + 
     943*T1^9*T2^7 + 920*T1^10*T2^7 - 4406*T1^11*T2^7 + 843*T1^12*T2^7 + 
     1336*T1^13*T2^7 - 287*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     309*T1^2*T2^8 + 43*T1^3*T2^8 - 2504*T1^4*T2^8 + 2021*T1^5*T2^8 + 
     1403*T1^6*T2^8 - 1904*T1^7*T2^8 + 3852*T1^8*T2^8 - 1080*T1^9*T2^8 + 
     431*T1^10*T2^8 + 1151*T1^11*T2^8 + 3792*T1^12*T2^8 - 2919*T1^13*T2^8 - 
     153*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 450*T1^3*T2^9 + 1711*T1^4*T2^9 + 664*T1^5*T2^9 - 
     3500*T1^6*T2^9 + 943*T1^7*T2^9 - 1080*T1^8*T2^9 - 2438*T1^9*T2^9 + 
     257*T1^10*T2^9 + 405*T1^11*T2^9 - 5191*T1^12*T2^9 + 1466*T1^13*T2^9 + 
     1564*T1^14*T2^9 - 371*T1^15*T2^9 - 42*T1^16*T2^9 + 210*T1^3*T2^10 - 
     124*T1^4*T2^10 - 2620*T1^5*T2^10 + 3040*T1^6*T2^10 + 920*T1^7*T2^10 + 
     431*T1^8*T2^10 + 257*T1^9*T2^10 + 4443*T1^10*T2^10 - 4530*T1^11*T2^10 + 
     5770*T1^12*T2^10 + 610*T1^13*T2^10 - 2508*T1^14*T2^10 + 
     252*T1^15*T2^10 + 114*T1^16*T2^10 - 30*T1^3*T2^11 - 280*T1^4*T2^11 + 
     1130*T1^5*T2^11 + 1280*T1^6*T2^11 - 4406*T1^7*T2^11 + 1151*T1^8*T2^11 + 
     405*T1^9*T2^11 - 4530*T1^10*T2^11 + 2861*T1^11*T2^11 - 
     1691*T1^12*T2^11 - 3625*T1^13*T2^11 + 2855*T1^14*T2^11 + 
     35*T1^15*T2^11 - 180*T1^16*T2^11 + 70*T1^4*T2^12 + 140*T1^5*T2^12 - 
     1620*T1^6*T2^12 + 843*T1^7*T2^12 + 3792*T1^8*T2^12 - 5191*T1^9*T2^12 + 
     5770*T1^10*T2^12 - 1691*T1^11*T2^12 - 1108*T1^12*T2^12 + 
     4203*T1^13*T2^12 - 1900*T1^14*T2^12 - 420*T1^15*T2^12 + 
     210*T1^16*T2^12 - 90*T1^5*T2^13 + 98*T1^6*T2^13 + 1336*T1^7*T2^13 - 
     2919*T1^8*T2^13 + 1466*T1^9*T2^13 + 610*T1^10*T2^13 - 3625*T1^11*T2^13 + 
     4203*T1^12*T2^13 - 3587*T1^13*T2^13 + 690*T1^14*T2^13 + 
     595*T1^15*T2^13 - 180*T1^16*T2^13 + 76*T1^6*T2^14 - 287*T1^7*T2^14 - 
     153*T1^8*T2^14 + 1564*T1^9*T2^14 - 2508*T1^10*T2^14 + 2855*T1^11*T2^14 - 
     1900*T1^12*T2^14 + 690*T1^13*T2^14 + 531*T1^14*T2^14 - 553*T1^15*T2^14 + 
     114*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 371*T1^9*T2^15 + 
     252*T1^10*T2^15 + 35*T1^11*T2^15 - 420*T1^12*T2^15 + 595*T1^13*T2^15 - 
     553*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 6*T1^8*T2^16 - 
     42*T1^9*T2^16 + 114*T1^10*T2^16 - 180*T1^11*T2^16 + 210*T1^12*T2^16 - 
     180*T1^13*T2^16 + 114*T1^14*T2^16 - 42*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 124] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-15 + 105*T1 - 270*T1^2 + 353*T1^3 - 270*T1^4 + 105*T1^5 - 15*T1^6 + 
     105*T2 - 686*T1*T2 + 1547*T1^2*T2 - 1589*T1^3*T2 + 735*T1^4*T2 + 
     147*T1^5*T2 - 238*T1^6*T2 + 49*T1^7*T2 - 270*T2^2 + 1547*T1*T2^2 - 
     2401*T1^2*T2^2 - 93*T1^3*T2^2 + 3747*T1^4*T2^2 - 4845*T1^5*T2^2 + 
     2495*T1^6*T2^2 - 469*T1^7*T2^2 + 18*T1^8*T2^2 + 353*T2^3 - 
     1589*T1*T2^3 - 93*T1^2*T2^3 + 8604*T1^3*T2^3 - 15370*T1^4*T2^3 + 
     12362*T1^5*T2^3 - 2778*T1^6*T2^3 - 2181*T1^7*T2^3 + 1351*T1^8*T2^3 - 
     211*T1^9*T2^3 - 270*T2^4 + 735*T1*T2^4 + 3747*T1^2*T2^4 - 
     15370*T1^3*T2^4 + 17544*T1^4*T2^4 - 1356*T1^5*T2^4 - 16092*T1^6*T2^4 + 
     15838*T1^7*T2^4 - 4309*T1^8*T2^4 - 665*T1^9*T2^4 + 306*T1^10*T2^4 + 
     105*T2^5 + 147*T1*T2^5 - 4845*T1^2*T2^5 + 12362*T1^3*T2^5 - 
     1356*T1^4*T2^5 - 28534*T1^5*T2^5 + 38542*T1^6*T2^5 - 16908*T1^7*T2^5 - 
     8418*T1^8*T2^5 + 7899*T1^9*T2^5 - 917*T1^10*T2^5 - 175*T1^11*T2^5 - 
     15*T2^6 - 238*T1*T2^6 + 2495*T1^2*T2^6 - 2778*T1^3*T2^6 - 
     16092*T1^4*T2^6 + 38542*T1^5*T2^6 - 18996*T1^6*T2^6 - 20674*T1^7*T2^6 + 
     36052*T1^8*T2^6 - 11970*T1^9*T2^6 - 2433*T1^10*T2^6 + 994*T1^11*T2^6 + 
     33*T1^12*T2^6 + 49*T1*T2^7 - 469*T1^2*T2^7 - 2181*T1^3*T2^7 + 
     15838*T1^4*T2^7 - 16908*T1^5*T2^7 - 20674*T1^6*T2^7 + 46402*T1^7*T2^7 - 
     32460*T1^8*T2^7 - 4942*T1^9*T2^7 + 10563*T1^10*T2^7 - 1533*T1^11*T2^7 - 
     231*T1^12*T2^7 + 18*T1^2*T2^8 + 1351*T1^3*T2^8 - 4309*T1^4*T2^8 - 
     8418*T1^5*T2^8 + 36052*T1^6*T2^8 - 32460*T1^7*T2^8 + 2416*T1^8*T2^8 + 
     22790*T1^9*T2^8 - 12365*T1^10*T2^8 - 49*T1^11*T2^8 + 594*T1^12*T2^8 - 
     211*T1^3*T2^9 - 665*T1^4*T2^9 + 7899*T1^5*T2^9 - 11970*T1^6*T2^9 - 
     4942*T1^7*T2^9 + 22790*T1^8*T2^9 - 23352*T1^9*T2^9 + 5811*T1^10*T2^9 + 
     2275*T1^11*T2^9 - 775*T1^12*T2^9 + 306*T1^4*T2^10 - 917*T1^5*T2^10 - 
     2433*T1^6*T2^10 + 10563*T1^7*T2^10 - 12365*T1^8*T2^10 + 
     5811*T1^9*T2^10 + 2463*T1^10*T2^10 - 2933*T1^11*T2^10 + 
     594*T1^12*T2^10 - 175*T1^5*T2^11 + 994*T1^6*T2^11 - 1533*T1^7*T2^11 - 
     49*T1^8*T2^11 + 2275*T1^9*T2^11 - 2933*T1^10*T2^11 + 1442*T1^11*T2^11 - 
     231*T1^12*T2^11 + 33*T1^6*T2^12 - 231*T1^7*T2^12 + 594*T1^8*T2^12 - 
     775*T1^9*T2^12 + 594*T1^10*T2^12 - 231*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 125] -> 
  {-((1 - 12*T + 44*T^2 - 67*T^3 + 44*T^4 - 12*T^5 + T^6)/T^3), 
   -(((1 - 12*T1 + 44*T1^2 - 67*T1^3 + 44*T1^4 - 12*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 24*T1*T2 + 47*T1^2*T2^2 - 24*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 12*T2 + 44*T2^2 - 67*T2^3 + 44*T2^4 - 12*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[12, Alternating, 126] -> 
  {(1 - 8*T + 26*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 196*T1^3 - 244*T1^4 + 196*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 944*T1^3*T2 + 
     776*T1^4*T2 - 104*T1^5*T2 - 344*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1214*T1^2*T2^2 + 491*T1^3*T2^2 + 
     1773*T1^4*T2^2 - 4146*T1^5*T2^2 + 3593*T1^6*T2^2 - 1641*T1^7*T2^2 + 
     86*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 196*T2^3 - 944*T1*T2^3 + 
     491*T1^2*T2^3 + 3455*T1^3*T2^3 - 8361*T1^4*T2^3 + 9438*T1^5*T2^3 - 
     2417*T1^6*T2^3 - 2904*T1^7*T2^3 + 3733*T1^8*T2^3 - 1459*T1^9*T2^3 + 
     24*T1^10*T2^3 + 49*T1^11*T2^3 - 244*T2^4 + 776*T1*T2^4 + 
     1773*T1^2*T2^4 - 8361*T1^3*T2^4 + 10728*T1^4*T2^4 - 3267*T1^5*T2^4 - 
     12748*T1^6*T2^4 + 14169*T1^7*T2^4 - 6776*T1^8*T2^4 - 717*T1^9*T2^4 + 
     1845*T1^10*T2^4 - 392*T1^11*T2^4 + 196*T2^5 - 104*T1*T2^5 - 
     4146*T1^2*T2^5 + 9438*T1^3*T2^5 - 3267*T1^4*T2^5 - 13133*T1^5*T2^5 + 
     27379*T1^6*T2^5 - 11291*T1^7*T2^5 - 6349*T1^8*T2^5 + 11672*T1^9*T2^5 - 
     5155*T1^10*T2^5 - 78*T1^11*T2^5 + 392*T1^12*T2^5 - 49*T1^13*T2^5 - 
     104*T2^6 - 344*T1*T2^6 + 3593*T1^2*T2^6 - 2417*T1^3*T2^6 - 
     12748*T1^4*T2^6 + 27379*T1^5*T2^6 - 22943*T1^6*T2^6 - 13171*T1^7*T2^6 + 
     27689*T1^8*T2^6 - 16237*T1^9*T2^6 - 764*T1^10*T2^6 + 5331*T1^11*T2^6 - 
     1723*T1^12*T2^6 - 24*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1641*T1^2*T2^7 - 2904*T1^3*T2^7 + 14169*T1^4*T2^7 - 
     11291*T1^5*T2^7 - 13171*T1^6*T2^7 + 44863*T1^7*T2^7 - 32133*T1^8*T2^7 - 
     2170*T1^9*T2^7 + 17487*T1^10*T2^7 - 10758*T1^11*T2^7 + 387*T1^12*T2^7 + 
     1401*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 86*T1^2*T2^8 + 3733*T1^3*T2^8 - 6776*T1^4*T2^8 - 
     6349*T1^5*T2^8 + 27689*T1^6*T2^8 - 32133*T1^7*T2^8 - 2592*T1^8*T2^8 + 
     34609*T1^9*T2^8 - 25561*T1^10*T2^8 + 4237*T1^11*T2^8 + 6784*T1^12*T2^8 - 
     3505*T1^13*T2^8 - 74*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1459*T1^3*T2^9 - 717*T1^4*T2^9 + 
     11672*T1^5*T2^9 - 16237*T1^6*T2^9 - 2170*T1^7*T2^9 + 34609*T1^8*T2^9 - 
     42387*T1^9*T2^9 + 8831*T1^10*T2^9 + 12541*T1^11*T2^9 - 
     13255*T1^12*T2^9 + 2574*T1^13*T2^9 + 1583*T1^14*T2^9 - 368*T1^15*T2^9 - 
     32*T1^16*T2^9 - 52*T1^2*T2^10 + 24*T1^3*T2^10 + 1845*T1^4*T2^10 - 
     5155*T1^5*T2^10 - 764*T1^6*T2^10 + 17487*T1^7*T2^10 - 25561*T1^8*T2^10 + 
     8831*T1^9*T2^10 + 25071*T1^10*T2^10 - 26129*T1^11*T2^10 + 
     11220*T1^12*T2^10 + 2593*T1^13*T2^10 - 3471*T1^14*T2^10 + 
     344*T1^15*T2^10 + 104*T1^16*T2^10 + 49*T1^3*T2^11 - 392*T1^4*T2^11 - 
     78*T1^5*T2^11 + 5331*T1^6*T2^11 - 10758*T1^7*T2^11 + 4237*T1^8*T2^11 + 
     12541*T1^9*T2^11 - 26129*T1^10*T2^11 + 11021*T1^11*T2^11 + 
     4181*T1^12*T2^11 - 9262*T1^13*T2^11 + 3990*T1^14*T2^11 + 
     104*T1^15*T2^11 - 196*T1^16*T2^11 + 392*T1^5*T2^12 - 1723*T1^6*T2^12 + 
     387*T1^7*T2^12 + 6784*T1^8*T2^12 - 13255*T1^9*T2^12 + 
     11220*T1^10*T2^12 + 4181*T1^11*T2^12 - 10720*T1^12*T2^12 + 
     8031*T1^13*T2^12 - 1651*T1^14*T2^12 - 776*T1^15*T2^12 + 
     244*T1^16*T2^12 - 49*T1^5*T2^13 - 24*T1^6*T2^13 + 1401*T1^7*T2^13 - 
     3505*T1^8*T2^13 + 2574*T1^9*T2^13 + 2593*T1^10*T2^13 - 
     9262*T1^11*T2^13 + 8031*T1^12*T2^13 - 3227*T1^13*T2^13 - 
     549*T1^14*T2^13 + 944*T1^15*T2^13 - 196*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 74*T1^8*T2^14 + 1583*T1^9*T2^14 - 3471*T1^10*T2^14 + 
     3990*T1^11*T2^14 - 1651*T1^12*T2^14 - 549*T1^13*T2^14 + 
     1226*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 344*T1^10*T2^15 + 104*T1^11*T2^15 - 
     776*T1^12*T2^15 + 944*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     196*T1^11*T2^16 + 244*T1^12*T2^16 - 196*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 127] -> 
  {(3 - 17*T + 37*T^2 - 45*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3, 
   (-111 + 631*T1 - 1373*T1^2 + 1667*T1^3 - 1373*T1^4 + 631*T1^5 - 111*T1^6 + 
     631*T2 - 3109*T1*T2 + 5086*T1^2*T2 - 3560*T1^3*T2 + 622*T1^4*T2 + 
     2332*T1^5*T2 - 2089*T1^6*T2 + 478*T1^7*T2 - 1373*T2^2 + 5086*T1*T2^2 - 
     2216*T1^2*T2^2 - 9083*T1^3*T2^2 + 15264*T1^4*T2^2 - 15299*T1^5*T2^2 + 
     5332*T1^6*T2^2 + 1312*T1^7*T2^2 - 707*T1^8*T2^2 + 1667*T2^3 - 
     3560*T1*T2^3 - 9083*T1^2*T2^3 + 26156*T1^3*T2^3 - 21381*T1^4*T2^3 + 
     8327*T1^5*T2^3 + 11630*T1^6*T2^3 - 11488*T1^7*T2^3 + 1438*T1^8*T2^3 + 
     452*T1^9*T2^3 - 1373*T2^4 + 622*T1*T2^4 + 15264*T1^2*T2^4 - 
     21381*T1^3*T2^4 - 4316*T1^4*T2^4 + 22646*T1^5*T2^4 - 32060*T1^6*T2^4 + 
     10659*T1^7*T2^4 + 5682*T1^8*T2^4 - 2336*T1^9*T2^4 - 41*T1^10*T2^4 + 
     631*T2^5 + 2332*T1*T2^5 - 15299*T1^2*T2^5 + 8327*T1^3*T2^5 + 
     22646*T1^4*T2^5 - 25759*T1^5*T2^5 + 13973*T1^6*T2^5 + 13877*T1^7*T2^5 - 
     16717*T1^8*T2^5 + 2350*T1^9*T2^5 + 1006*T1^10*T2^5 - 134*T1^11*T2^5 - 
     111*T2^6 - 2089*T1*T2^6 + 5332*T1^2*T2^6 + 11630*T1^3*T2^6 - 
     32060*T1^4*T2^6 + 13973*T1^5*T2^6 + 9384*T1^6*T2^6 - 24305*T1^7*T2^6 + 
     11010*T1^8*T2^6 + 5426*T1^9*T2^6 - 4108*T1^10*T2^6 + 461*T1^11*T2^6 + 
     51*T1^12*T2^6 + 478*T1*T2^7 + 1312*T1^2*T2^7 - 11488*T1^3*T2^7 + 
     10659*T1^4*T2^7 + 13877*T1^5*T2^7 - 24305*T1^6*T2^7 + 15427*T1^7*T2^7 + 
     5108*T1^8*T2^7 - 14385*T1^9*T2^7 + 6161*T1^10*T2^7 - 14*T1^11*T2^7 - 
     287*T1^12*T2^7 - 707*T1^2*T2^8 + 1438*T1^3*T2^8 + 5682*T1^4*T2^8 - 
     16717*T1^5*T2^8 + 11010*T1^6*T2^8 + 5108*T1^7*T2^8 - 16734*T1^8*T2^8 + 
     15323*T1^9*T2^8 - 3900*T1^10*T2^8 - 1520*T1^11*T2^8 + 625*T1^12*T2^8 + 
     452*T1^3*T2^9 - 2336*T1^4*T2^9 + 2350*T1^5*T2^9 + 5426*T1^6*T2^9 - 
     14385*T1^7*T2^9 + 15323*T1^8*T2^9 - 9100*T1^9*T2^9 - 55*T1^10*T2^9 + 
     2662*T1^11*T2^9 - 763*T1^12*T2^9 - 41*T1^4*T2^10 + 1006*T1^5*T2^10 - 
     4108*T1^6*T2^10 + 6161*T1^7*T2^10 - 3900*T1^8*T2^10 - 55*T1^9*T2^10 + 
     3440*T1^10*T2^10 - 2768*T1^11*T2^10 + 625*T1^12*T2^10 - 134*T1^5*T2^11 + 
     461*T1^6*T2^11 - 14*T1^7*T2^11 - 1520*T1^8*T2^11 + 2662*T1^9*T2^11 - 
     2768*T1^10*T2^11 + 1481*T1^11*T2^11 - 287*T1^12*T2^11 + 51*T1^6*T2^12 - 
     287*T1^7*T2^12 + 625*T1^8*T2^12 - 763*T1^9*T2^12 + 625*T1^10*T2^12 - 
     287*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 128] -> {(5 - 25*T + 41*T^2 - 25*T^3 + 5*T^4)/T^2, 
   (-290 + 1470*T1 - 2426*T1^2 + 1470*T1^3 - 290*T1^4 + 1470*T2 - 
     6609*T1*T2 + 7974*T1^2*T2 - 276*T1^3*T2 - 2859*T1^4*T2 + 845*T1^5*T2 - 
     2426*T2^2 + 7974*T1*T2^2 + 1482*T1^2*T2^2 - 22384*T1^3*T2^2 + 
     16242*T1^4*T2^2 - 2276*T1^5*T2^2 - 376*T1^6*T2^2 + 1470*T2^3 - 
     276*T1*T2^3 - 22384*T1^2*T2^3 + 41914*T1^3*T2^3 - 14486*T1^4*T2^3 - 
     7009*T1^5*T2^3 + 3974*T1^6*T2^3 - 405*T1^7*T2^3 - 290*T2^4 - 
     2859*T1*T2^4 + 16242*T1^2*T2^4 - 14486*T1^3*T2^4 - 18960*T1^4*T2^4 + 
     28014*T1^5*T2^4 - 10908*T1^6*T2^4 + 891*T1^7*T2^4 + 210*T1^8*T2^4 + 
     845*T1*T2^5 - 2276*T1^2*T2^5 - 7009*T1^3*T2^5 + 28014*T1^4*T2^5 - 
     28386*T1^5*T2^5 + 8366*T1^6*T2^5 + 1974*T1^7*T2^5 - 1030*T1^8*T2^5 - 
     376*T1^2*T2^6 + 3974*T1^3*T2^6 - 10908*T1^4*T2^6 + 8366*T1^5*T2^6 + 
     3852*T1^6*T2^6 - 6276*T1^7*T2^6 + 1674*T1^8*T2^6 - 405*T1^3*T2^7 + 
     891*T1^4*T2^7 + 1974*T1^5*T2^7 - 6276*T1^6*T2^7 + 4641*T1^7*T2^7 - 
     1030*T1^8*T2^7 + 210*T1^4*T2^8 - 1030*T1^5*T2^8 + 1674*T1^6*T2^8 - 
     1030*T1^7*T2^8 + 210*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 129] -> 
  {-((1 - 7*T + 19*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 19*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 95*T1^2 + 160*T1^3 - 185*T1^4 + 160*T1^5 - 
      95*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 469*T1^2*T2 - 
      588*T1^3*T2 + 399*T1^4*T2 - 84*T1^5*T2 - 231*T1^6*T2 + 287*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 95*T2^2 + 469*T1*T2^2 - 484*T1^2*T2^2 - 
      307*T1^3*T2^2 + 1715*T1^4*T2^2 - 2438*T1^5*T2^2 + 2399*T1^6*T2^2 - 
      1257*T1^7*T2^2 + 200*T1^8*T2^2 + 203*T1^9*T2^2 - 57*T1^10*T2^2 + 
      160*T2^3 - 588*T1*T2^3 - 307*T1^2*T2^3 + 2335*T1^3*T2^3 - 
      4079*T1^4*T2^3 + 3072*T1^5*T2^3 - 1209*T1^6*T2^3 - 1520*T1^7*T2^3 + 
      2045*T1^8*T2^3 - 1067*T1^9*T2^3 - 49*T1^10*T2^3 + 64*T1^11*T2^3 - 
      185*T2^4 + 399*T1*T2^4 + 1715*T1^2*T2^4 - 4079*T1^3*T2^4 + 
      4317*T1^4*T2^4 - 431*T1^5*T2^4 - 1981*T1^6*T2^4 + 3933*T1^7*T2^4 - 
      1555*T1^8*T2^4 - 751*T1^9*T2^4 + 1391*T1^10*T2^4 - 189*T1^11*T2^4 - 
      37*T1^12*T2^4 + 160*T2^5 - 84*T1*T2^5 - 2438*T1^2*T2^5 + 
      3072*T1^3*T2^5 - 431*T1^4*T2^5 - 4723*T1^5*T2^5 + 4035*T1^6*T2^5 - 
      2450*T1^7*T2^5 - 2623*T1^8*T2^5 + 3482*T1^9*T2^5 - 1707*T1^10*T2^5 - 
      647*T1^11*T2^5 + 259*T1^12*T2^5 - 95*T2^6 - 231*T1*T2^6 + 
      2399*T1^2*T2^6 - 1209*T1^3*T2^6 - 1981*T1^4*T2^6 + 4035*T1^5*T2^6 + 
      1450*T1^6*T2^6 - 4180*T1^7*T2^6 + 6410*T1^8*T2^6 - 2507*T1^9*T2^6 - 
      1127*T1^10*T2^6 + 2325*T1^11*T2^6 - 301*T1^12*T2^6 - 133*T1^13*T2^6 + 
      19*T1^14*T2^6 + 35*T2^7 + 287*T1*T2^7 - 1257*T1^2*T2^7 - 
      1520*T1^3*T2^7 + 3933*T1^4*T2^7 - 2450*T1^5*T2^7 - 4180*T1^6*T2^7 + 
      3900*T1^7*T2^7 - 1670*T1^8*T2^7 - 3038*T1^9*T2^7 + 3921*T1^10*T2^7 - 
      1784*T1^11*T2^7 - 1003*T1^12*T2^7 + 643*T1^13*T2^7 - 35*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 + 200*T1^2*T2^8 + 2045*T1^3*T2^8 - 
      1555*T1^4*T2^8 - 2623*T1^5*T2^8 + 6410*T1^6*T2^8 - 1670*T1^7*T2^8 - 
      2724*T1^8*T2^8 + 4330*T1^9*T2^8 - 2062*T1^10*T2^8 - 1345*T1^11*T2^8 + 
      2433*T1^12*T2^8 - 685*T1^13*T2^8 - 262*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 203*T1^2*T2^9 - 1067*T1^3*T2^9 - 
      751*T1^4*T2^9 + 3482*T1^5*T2^9 - 2507*T1^6*T2^9 - 3038*T1^7*T2^9 + 
      4330*T1^8*T2^9 - 1240*T1^9*T2^9 - 1896*T1^10*T2^9 + 3864*T1^11*T2^9 - 
      2235*T1^12*T2^9 - 234*T1^13*T2^9 + 833*T1^14*T2^9 - 119*T1^15*T2^9 - 
      21*T1^16*T2^9 - 57*T1^2*T2^10 - 49*T1^3*T2^10 + 1391*T1^4*T2^10 - 
      1707*T1^5*T2^10 - 1127*T1^6*T2^10 + 3921*T1^7*T2^10 - 2062*T1^8*T2^10 - 
      1896*T1^9*T2^10 + 2898*T1^10*T2^10 - 2621*T1^11*T2^10 - 
      273*T1^12*T2^10 + 1827*T1^13*T2^10 - 1309*T1^14*T2^10 + 
      49*T1^15*T2^10 + 57*T1^16*T2^10 + 64*T1^3*T2^11 - 189*T1^4*T2^11 - 
      647*T1^5*T2^11 + 2325*T1^6*T2^11 - 1784*T1^7*T2^11 - 1345*T1^8*T2^11 + 
      3864*T1^9*T2^11 - 2621*T1^10*T2^11 + 755*T1^11*T2^11 + 
      2129*T1^12*T2^11 - 2454*T1^13*T2^11 + 1144*T1^14*T2^11 + 
      154*T1^15*T2^11 - 96*T1^16*T2^11 - 37*T1^4*T2^12 + 259*T1^5*T2^12 - 
      301*T1^6*T2^12 - 1003*T1^7*T2^12 + 2433*T1^8*T2^12 - 2235*T1^9*T2^12 - 
      273*T1^10*T2^12 + 2129*T1^11*T2^12 - 3439*T1^12*T2^12 + 
      2325*T1^13*T2^12 - 625*T1^14*T2^12 - 329*T1^15*T2^12 + 
      111*T1^16*T2^12 - 133*T1^6*T2^13 + 643*T1^7*T2^13 - 685*T1^8*T2^13 - 
      234*T1^9*T2^13 + 1827*T1^10*T2^13 - 2454*T1^11*T2^13 + 
      2325*T1^12*T2^13 - 975*T1^13*T2^13 - 117*T1^14*T2^13 + 
      406*T1^15*T2^13 - 96*T1^16*T2^13 + 19*T1^6*T2^14 - 35*T1^7*T2^14 - 
      262*T1^8*T2^14 + 833*T1^9*T2^14 - 1309*T1^10*T2^14 + 1144*T1^11*T2^14 - 
      625*T1^12*T2^14 - 117*T1^13*T2^14 + 422*T1^14*T2^14 - 301*T1^15*T2^14 + 
      57*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 119*T1^9*T2^15 + 
      49*T1^10*T2^15 + 154*T1^11*T2^15 - 329*T1^12*T2^15 + 406*T1^13*T2^15 - 
      301*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 57*T1^10*T2^16 - 96*T1^11*T2^16 + 111*T1^12*T2^16 - 
      96*T1^13*T2^16 + 57*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 130] -> 
  {-((2 - 14*T + 36*T^2 - 49*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-25 + 175*T1 - 450*T1^2 + 613*T1^3 - 450*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2317*T1^2*T2 - 2149*T1^3*T2 + 231*T1^4*T2 + 
      917*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 450*T2^2 + 2317*T1*T2^2 - 
      2391*T1^2*T2^2 - 2953*T1^3*T2^2 + 9599*T1^4*T2^2 - 7993*T1^5*T2^2 + 
      2505*T1^6*T2^2 + 301*T1^7*T2^2 - 162*T1^8*T2^2 + 613*T2^3 - 
      2149*T1*T2^3 - 2953*T1^2*T2^3 + 15880*T1^3*T2^3 - 21442*T1^4*T2^3 + 
      6698*T1^5*T2^3 + 5674*T1^6*T2^3 - 5473*T1^7*T2^3 + 959*T1^8*T2^3 + 
      25*T1^9*T2^3 - 450*T2^4 + 231*T1*T2^4 + 9599*T1^2*T2^4 - 
      21442*T1^3*T2^4 + 12180*T1^4*T2^4 + 18732*T1^5*T2^4 - 26048*T1^6*T2^4 + 
      11094*T1^7*T2^4 + 759*T1^8*T2^4 - 1057*T1^9*T2^4 + 126*T1^10*T2^4 + 
      175*T2^5 + 917*T1*T2^5 - 7993*T1^2*T2^5 + 6698*T1^3*T2^5 + 
      18732*T1^4*T2^5 - 46638*T1^5*T2^5 + 29942*T1^6*T2^5 + 2604*T1^7*T2^5 - 
      12650*T1^8*T2^5 + 4607*T1^9*T2^5 - 147*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 2505*T1^2*T2^6 + 5674*T1^3*T2^6 - 
      26048*T1^4*T2^6 + 29942*T1^5*T2^6 + 5796*T1^6*T2^6 - 34458*T1^7*T2^6 + 
      24528*T1^8*T2^6 - 3566*T1^9*T2^6 - 2423*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 301*T1^2*T2^7 - 5473*T1^3*T2^7 + 
      11094*T1^4*T2^7 + 2604*T1^5*T2^7 - 34458*T1^6*T2^7 + 42122*T1^7*T2^7 - 
      13524*T1^8*T2^7 - 8254*T1^9*T2^7 + 7127*T1^10*T2^7 - 763*T1^11*T2^7 - 
      161*T1^12*T2^7 - 162*T1^2*T2^8 + 959*T1^3*T2^8 + 759*T1^4*T2^8 - 
      12650*T1^5*T2^8 + 24528*T1^6*T2^8 - 13524*T1^7*T2^8 - 13700*T1^8*T2^8 + 
      19886*T1^9*T2^8 - 8081*T1^10*T2^8 - 329*T1^11*T2^8 + 414*T1^12*T2^8 + 
      25*T1^3*T2^9 - 1057*T1^4*T2^9 + 4607*T1^5*T2^9 - 3566*T1^6*T2^9 - 
      8254*T1^7*T2^9 + 19886*T1^8*T2^9 - 13772*T1^9*T2^9 + 2087*T1^10*T2^9 + 
      2051*T1^11*T2^9 - 563*T1^12*T2^9 + 126*T1^4*T2^10 - 147*T1^5*T2^10 - 
      2423*T1^6*T2^10 + 7127*T1^7*T2^10 - 8081*T1^8*T2^10 + 2087*T1^9*T2^10 + 
      2473*T1^10*T2^10 - 2163*T1^11*T2^10 + 414*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 763*T1^7*T2^11 - 329*T1^8*T2^11 + 
      2051*T1^9*T2^11 - 2163*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 414*T1^8*T2^12 - 
      563*T1^9*T2^12 + 414*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 131] -> 
  {-((1 - 8*T + 26*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 147*T1^3 - 177*T1^4 + 147*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      760*T1^3*T2 + 632*T1^4*T2 - 232*T1^5*T2 - 160*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1026*T1^2*T2^2 + 
      687*T1^3*T2^2 + 1026*T1^4*T2^2 - 2494*T1^5*T2^2 + 2742*T1^6*T2^2 - 
      1445*T1^7*T2^2 + 274*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      147*T2^3 - 760*T1*T2^3 + 687*T1^2*T2^3 + 1977*T1^3*T2^3 - 
      6337*T1^4*T2^3 + 7146*T1^5*T2^3 - 4293*T1^6*T2^3 - 586*T1^7*T2^3 + 
      2255*T1^8*T2^3 - 1263*T1^9*T2^3 + 208*T1^10*T2^3 - 177*T2^4 + 
      632*T1*T2^4 + 1026*T1^2*T2^4 - 6337*T1^3*T2^4 + 10580*T1^4*T2^4 - 
      5177*T1^5*T2^4 - 4020*T1^6*T2^4 + 11019*T1^7*T2^4 - 7876*T1^8*T2^4 + 
      1699*T1^9*T2^4 + 890*T1^10*T2^4 - 472*T1^11*T2^4 + 59*T1^12*T2^4 + 
      147*T2^5 - 232*T1*T2^5 - 2494*T1^2*T2^5 + 7146*T1^3*T2^5 - 
      5177*T1^4*T2^5 - 9805*T1^5*T2^5 + 20628*T1^6*T2^5 - 19094*T1^7*T2^5 + 
      3123*T1^8*T2^5 + 7852*T1^9*T2^5 - 6199*T1^10*T2^5 + 1190*T1^11*T2^5 + 
      312*T1^12*T2^5 - 98*T1^13*T2^5 - 78*T2^6 - 160*T1*T2^6 + 
      2742*T1^2*T2^6 - 4293*T1^3*T2^6 - 4020*T1^4*T2^6 + 20628*T1^5*T2^6 - 
      20116*T1^6*T2^6 + 1574*T1^7*T2^6 + 20740*T1^8*T2^6 - 21860*T1^9*T2^6 + 
      5052*T1^10*T2^6 + 4287*T1^11*T2^6 - 2678*T1^12*T2^6 + 160*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1445*T1^2*T2^7 - 
      586*T1^3*T2^7 + 11019*T1^4*T2^7 - 19094*T1^5*T2^7 + 1574*T1^6*T2^7 + 
      26255*T1^7*T2^7 - 34179*T1^8*T2^7 + 12869*T1^9*T2^7 + 
      15096*T1^10*T2^7 - 14678*T1^11*T2^7 + 2803*T1^12*T2^7 + 
      1597*T1^13*T2^7 - 368*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 274*T1^2*T2^8 + 2255*T1^3*T2^8 - 7876*T1^4*T2^8 + 
      3123*T1^5*T2^8 + 20740*T1^6*T2^8 - 34179*T1^7*T2^8 + 10860*T1^8*T2^8 + 
      22959*T1^9*T2^8 - 37918*T1^10*T2^8 + 12941*T1^11*T2^8 + 
      5668*T1^12*T2^8 - 4983*T1^13*T2^8 + 114*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 1263*T1^3*T2^9 + 
      1699*T1^4*T2^9 + 7852*T1^5*T2^9 - 21860*T1^6*T2^9 + 12869*T1^7*T2^9 + 
      22959*T1^8*T2^9 - 37475*T1^9*T2^9 + 24164*T1^10*T2^9 + 
      12330*T1^11*T2^9 - 17845*T1^12*T2^9 + 5088*T1^13*T2^9 + 
      1779*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      208*T1^3*T2^10 + 890*T1^4*T2^10 - 6199*T1^5*T2^10 + 5052*T1^6*T2^10 + 
      15096*T1^7*T2^10 - 37918*T1^8*T2^10 + 24164*T1^9*T2^10 + 
      2938*T1^10*T2^10 - 27392*T1^11*T2^10 + 14124*T1^12*T2^10 + 
      2381*T1^13*T2^10 - 4530*T1^14*T2^10 + 528*T1^15*T2^10 + 
      130*T1^16*T2^10 - 472*T1^4*T2^11 + 1190*T1^5*T2^11 + 4287*T1^6*T2^11 - 
      14678*T1^7*T2^11 + 12941*T1^8*T2^11 + 12330*T1^9*T2^11 - 
      27392*T1^10*T2^11 + 25869*T1^11*T2^11 - 1649*T1^12*T2^11 - 
      9058*T1^13*T2^11 + 4874*T1^14*T2^11 + 72*T1^15*T2^11 - 
      245*T1^16*T2^11 + 59*T1^4*T2^12 + 312*T1^5*T2^12 - 2678*T1^6*T2^12 + 
      2803*T1^7*T2^12 + 5668*T1^8*T2^12 - 17845*T1^9*T2^12 + 
      14124*T1^10*T2^12 - 1649*T1^11*T2^12 - 12788*T1^12*T2^12 + 
      10839*T1^13*T2^12 - 2814*T1^14*T2^12 - 792*T1^15*T2^12 + 
      295*T1^16*T2^12 - 98*T1^5*T2^13 + 160*T1^6*T2^13 + 1597*T1^7*T2^13 - 
      4983*T1^8*T2^13 + 5088*T1^9*T2^13 + 2381*T1^10*T2^13 - 
      9058*T1^11*T2^13 + 10839*T1^12*T2^13 - 4705*T1^13*T2^13 - 
      353*T1^14*T2^13 + 1128*T1^15*T2^13 - 245*T1^16*T2^13 + 78*T1^6*T2^14 - 
      368*T1^7*T2^14 + 114*T1^8*T2^14 + 1779*T1^9*T2^14 - 4530*T1^10*T2^14 + 
      4874*T1^11*T2^14 - 2814*T1^12*T2^14 - 353*T1^13*T2^14 + 
      1414*T1^14*T2^14 - 784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 512*T1^9*T2^15 + 528*T1^10*T2^15 + 72*T1^11*T2^15 - 
      792*T1^12*T2^15 + 1128*T1^13*T2^15 - 784*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 245*T1^11*T2^16 + 295*T1^12*T2^16 - 245*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 132] -> 
  {(1 - 8*T + 26*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 196*T1^3 - 244*T1^4 + 196*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 944*T1^3*T2 + 
     776*T1^4*T2 - 104*T1^5*T2 - 344*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1214*T1^2*T2^2 + 491*T1^3*T2^2 + 
     1772*T1^4*T2^2 - 4144*T1^5*T2^2 + 3592*T1^6*T2^2 - 1641*T1^7*T2^2 + 
     86*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 196*T2^3 - 944*T1*T2^3 + 
     491*T1^2*T2^3 + 3457*T1^3*T2^3 - 8363*T1^4*T2^3 + 9438*T1^5*T2^3 - 
     2417*T1^6*T2^3 - 2906*T1^7*T2^3 + 3735*T1^8*T2^3 - 1459*T1^9*T2^3 + 
     24*T1^10*T2^3 + 49*T1^11*T2^3 - 244*T2^4 + 776*T1*T2^4 + 
     1772*T1^2*T2^4 - 8363*T1^3*T2^4 + 10730*T1^4*T2^4 - 3267*T1^5*T2^4 - 
     12746*T1^6*T2^4 + 14169*T1^7*T2^4 - 6774*T1^8*T2^4 - 719*T1^9*T2^4 + 
     1844*T1^10*T2^4 - 392*T1^11*T2^4 + 196*T2^5 - 104*T1*T2^5 - 
     4144*T1^2*T2^5 + 9438*T1^3*T2^5 - 3267*T1^4*T2^5 - 13133*T1^5*T2^5 + 
     27377*T1^6*T2^5 - 11293*T1^7*T2^5 - 6349*T1^8*T2^5 + 11672*T1^9*T2^5 - 
     5155*T1^10*T2^5 - 76*T1^11*T2^5 + 392*T1^12*T2^5 - 49*T1^13*T2^5 - 
     104*T2^6 - 344*T1*T2^6 + 3592*T1^2*T2^6 - 2417*T1^3*T2^6 - 
     12746*T1^4*T2^6 + 27377*T1^5*T2^6 - 22943*T1^6*T2^6 - 13169*T1^7*T2^6 + 
     27689*T1^8*T2^6 - 16239*T1^9*T2^6 - 762*T1^10*T2^6 + 5331*T1^11*T2^6 - 
     1724*T1^12*T2^6 - 24*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1641*T1^2*T2^7 - 2906*T1^3*T2^7 + 14169*T1^4*T2^7 - 
     11293*T1^5*T2^7 - 13169*T1^6*T2^7 + 44865*T1^7*T2^7 - 32131*T1^8*T2^7 - 
     2168*T1^9*T2^7 + 17485*T1^10*T2^7 - 10758*T1^11*T2^7 + 385*T1^12*T2^7 + 
     1401*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 86*T1^2*T2^8 + 3735*T1^3*T2^8 - 6774*T1^4*T2^8 - 
     6349*T1^5*T2^8 + 27689*T1^6*T2^8 - 32131*T1^7*T2^8 - 2604*T1^8*T2^8 + 
     34611*T1^9*T2^8 - 25561*T1^10*T2^8 + 4237*T1^11*T2^8 + 6786*T1^12*T2^8 - 
     3503*T1^13*T2^8 - 74*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1459*T1^3*T2^9 - 719*T1^4*T2^9 + 
     11672*T1^5*T2^9 - 16239*T1^6*T2^9 - 2168*T1^7*T2^9 + 34611*T1^8*T2^9 - 
     42385*T1^9*T2^9 + 8833*T1^10*T2^9 + 12539*T1^11*T2^9 - 
     13255*T1^12*T2^9 + 2572*T1^13*T2^9 + 1583*T1^14*T2^9 - 368*T1^15*T2^9 - 
     32*T1^16*T2^9 - 52*T1^2*T2^10 + 24*T1^3*T2^10 + 1844*T1^4*T2^10 - 
     5155*T1^5*T2^10 - 762*T1^6*T2^10 + 17485*T1^7*T2^10 - 25561*T1^8*T2^10 + 
     8833*T1^9*T2^10 + 25071*T1^10*T2^10 - 26131*T1^11*T2^10 + 
     11222*T1^12*T2^10 + 2593*T1^13*T2^10 - 3472*T1^14*T2^10 + 
     344*T1^15*T2^10 + 104*T1^16*T2^10 + 49*T1^3*T2^11 - 392*T1^4*T2^11 - 
     76*T1^5*T2^11 + 5331*T1^6*T2^11 - 10758*T1^7*T2^11 + 4237*T1^8*T2^11 + 
     12539*T1^9*T2^11 - 26131*T1^10*T2^11 + 11021*T1^11*T2^11 + 
     4181*T1^12*T2^11 - 9262*T1^13*T2^11 + 3992*T1^14*T2^11 + 
     104*T1^15*T2^11 - 196*T1^16*T2^11 + 392*T1^5*T2^12 - 1724*T1^6*T2^12 + 
     385*T1^7*T2^12 + 6786*T1^8*T2^12 - 13255*T1^9*T2^12 + 
     11222*T1^10*T2^12 + 4181*T1^11*T2^12 - 10718*T1^12*T2^12 + 
     8029*T1^13*T2^12 - 1652*T1^14*T2^12 - 776*T1^15*T2^12 + 
     244*T1^16*T2^12 - 49*T1^5*T2^13 - 24*T1^6*T2^13 + 1401*T1^7*T2^13 - 
     3503*T1^8*T2^13 + 2572*T1^9*T2^13 + 2593*T1^10*T2^13 - 
     9262*T1^11*T2^13 + 8029*T1^12*T2^13 - 3225*T1^13*T2^13 - 
     549*T1^14*T2^13 + 944*T1^15*T2^13 - 196*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 74*T1^8*T2^14 + 1583*T1^9*T2^14 - 3472*T1^10*T2^14 + 
     3992*T1^11*T2^14 - 1652*T1^12*T2^14 - 549*T1^13*T2^14 + 
     1226*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 344*T1^10*T2^15 + 104*T1^11*T2^15 - 
     776*T1^12*T2^15 + 944*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     196*T1^11*T2^16 + 244*T1^12*T2^16 - 196*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 133] -> 
  {-((1 - 8*T + 26*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 147*T1^3 - 177*T1^4 + 147*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      760*T1^3*T2 + 632*T1^4*T2 - 232*T1^5*T2 - 160*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1026*T1^2*T2^2 + 
      687*T1^3*T2^2 + 1025*T1^4*T2^2 - 2492*T1^5*T2^2 + 2741*T1^6*T2^2 - 
      1445*T1^7*T2^2 + 274*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      147*T2^3 - 760*T1*T2^3 + 687*T1^2*T2^3 + 1979*T1^3*T2^3 - 
      6339*T1^4*T2^3 + 7146*T1^5*T2^3 - 4293*T1^6*T2^3 - 588*T1^7*T2^3 + 
      2257*T1^8*T2^3 - 1263*T1^9*T2^3 + 208*T1^10*T2^3 - 177*T2^4 + 
      632*T1*T2^4 + 1025*T1^2*T2^4 - 6339*T1^3*T2^4 + 10582*T1^4*T2^4 - 
      5177*T1^5*T2^4 - 4018*T1^6*T2^4 + 11019*T1^7*T2^4 - 7874*T1^8*T2^4 + 
      1697*T1^9*T2^4 + 889*T1^10*T2^4 - 472*T1^11*T2^4 + 59*T1^12*T2^4 + 
      147*T2^5 - 232*T1*T2^5 - 2492*T1^2*T2^5 + 7146*T1^3*T2^5 - 
      5177*T1^4*T2^5 - 9805*T1^5*T2^5 + 20626*T1^6*T2^5 - 19096*T1^7*T2^5 + 
      3123*T1^8*T2^5 + 7852*T1^9*T2^5 - 6199*T1^10*T2^5 + 1192*T1^11*T2^5 + 
      312*T1^12*T2^5 - 98*T1^13*T2^5 - 78*T2^6 - 160*T1*T2^6 + 
      2741*T1^2*T2^6 - 4293*T1^3*T2^6 - 4018*T1^4*T2^6 + 20626*T1^5*T2^6 - 
      20116*T1^6*T2^6 + 1576*T1^7*T2^6 + 20740*T1^8*T2^6 - 21862*T1^9*T2^6 + 
      5054*T1^10*T2^6 + 4287*T1^11*T2^6 - 2679*T1^12*T2^6 + 160*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1445*T1^2*T2^7 - 
      588*T1^3*T2^7 + 11019*T1^4*T2^7 - 19096*T1^5*T2^7 + 1576*T1^6*T2^7 + 
      26257*T1^7*T2^7 - 34177*T1^8*T2^7 + 12871*T1^9*T2^7 + 
      15094*T1^10*T2^7 - 14678*T1^11*T2^7 + 2801*T1^12*T2^7 + 
      1597*T1^13*T2^7 - 368*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 274*T1^2*T2^8 + 2257*T1^3*T2^8 - 7874*T1^4*T2^8 + 
      3123*T1^5*T2^8 + 20740*T1^6*T2^8 - 34177*T1^7*T2^8 + 10848*T1^8*T2^8 + 
      22961*T1^9*T2^8 - 37918*T1^10*T2^8 + 12941*T1^11*T2^8 + 
      5670*T1^12*T2^8 - 4981*T1^13*T2^8 + 114*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 1263*T1^3*T2^9 + 
      1697*T1^4*T2^9 + 7852*T1^5*T2^9 - 21862*T1^6*T2^9 + 12871*T1^7*T2^9 + 
      22961*T1^8*T2^9 - 37473*T1^9*T2^9 + 24166*T1^10*T2^9 + 
      12328*T1^11*T2^9 - 17845*T1^12*T2^9 + 5086*T1^13*T2^9 + 
      1779*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      208*T1^3*T2^10 + 889*T1^4*T2^10 - 6199*T1^5*T2^10 + 5054*T1^6*T2^10 + 
      15094*T1^7*T2^10 - 37918*T1^8*T2^10 + 24166*T1^9*T2^10 + 
      2938*T1^10*T2^10 - 27394*T1^11*T2^10 + 14126*T1^12*T2^10 + 
      2381*T1^13*T2^10 - 4531*T1^14*T2^10 + 528*T1^15*T2^10 + 
      130*T1^16*T2^10 - 472*T1^4*T2^11 + 1192*T1^5*T2^11 + 4287*T1^6*T2^11 - 
      14678*T1^7*T2^11 + 12941*T1^8*T2^11 + 12328*T1^9*T2^11 - 
      27394*T1^10*T2^11 + 25869*T1^11*T2^11 - 1649*T1^12*T2^11 - 
      9058*T1^13*T2^11 + 4876*T1^14*T2^11 + 72*T1^15*T2^11 - 
      245*T1^16*T2^11 + 59*T1^4*T2^12 + 312*T1^5*T2^12 - 2679*T1^6*T2^12 + 
      2801*T1^7*T2^12 + 5670*T1^8*T2^12 - 17845*T1^9*T2^12 + 
      14126*T1^10*T2^12 - 1649*T1^11*T2^12 - 12786*T1^12*T2^12 + 
      10837*T1^13*T2^12 - 2815*T1^14*T2^12 - 792*T1^15*T2^12 + 
      295*T1^16*T2^12 - 98*T1^5*T2^13 + 160*T1^6*T2^13 + 1597*T1^7*T2^13 - 
      4981*T1^8*T2^13 + 5086*T1^9*T2^13 + 2381*T1^10*T2^13 - 
      9058*T1^11*T2^13 + 10837*T1^12*T2^13 - 4703*T1^13*T2^13 - 
      353*T1^14*T2^13 + 1128*T1^15*T2^13 - 245*T1^16*T2^13 + 78*T1^6*T2^14 - 
      368*T1^7*T2^14 + 114*T1^8*T2^14 + 1779*T1^9*T2^14 - 4531*T1^10*T2^14 + 
      4876*T1^11*T2^14 - 2815*T1^12*T2^14 - 353*T1^13*T2^14 + 
      1414*T1^14*T2^14 - 784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 512*T1^9*T2^15 + 528*T1^10*T2^15 + 72*T1^11*T2^15 - 
      792*T1^12*T2^15 + 1128*T1^13*T2^15 - 784*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 245*T1^11*T2^16 + 295*T1^12*T2^16 - 245*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 134] -> 
  {(1 - 8*T + 26*T^2 - 47*T^3 + 57*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 188*T1^3 - 228*T1^4 + 188*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 880*T1^3*T2 + 
     696*T1^4*T2 - 136*T1^5*T2 - 296*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1220*T1^2*T2^2 + 310*T1^3*T2^2 + 
     1754*T1^4*T2^2 - 3626*T1^5*T2^2 + 3366*T1^6*T2^2 - 1718*T1^7*T2^2 + 
     80*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 188*T2^3 - 880*T1*T2^3 + 
     310*T1^2*T2^3 + 4133*T1^3*T2^3 - 8253*T1^4*T2^3 + 8446*T1^5*T2^3 - 
     2893*T1^6*T2^3 - 2234*T1^7*T2^3 + 3829*T1^8*T2^3 - 1484*T1^9*T2^3 + 
     40*T1^10*T2^3 + 47*T1^11*T2^3 - 228*T2^4 + 696*T1*T2^4 + 
     1754*T1^2*T2^4 - 8253*T1^3*T2^4 + 7988*T1^4*T2^4 + 550*T1^5*T2^4 - 
     12950*T1^6*T2^4 + 14970*T1^7*T2^4 - 8572*T1^8*T2^4 - 169*T1^9*T2^4 + 
     1666*T1^10*T2^4 - 376*T1^11*T2^4 + 188*T2^5 - 136*T1*T2^5 - 
     3626*T1^2*T2^5 + 8446*T1^3*T2^5 + 550*T1^4*T2^5 - 15647*T1^5*T2^5 + 
     23795*T1^6*T2^5 - 11419*T1^7*T2^5 - 4081*T1^8*T2^5 + 11271*T1^9*T2^5 - 
     5079*T1^10*T2^5 - 14*T1^11*T2^5 + 376*T1^12*T2^5 - 47*T1^13*T2^5 - 
     104*T2^6 - 296*T1*T2^6 + 3366*T1^2*T2^6 - 2893*T1^3*T2^6 - 
     12950*T1^4*T2^6 + 23795*T1^5*T2^6 - 14422*T1^6*T2^6 - 11688*T1^7*T2^6 + 
     22706*T1^8*T2^6 - 14909*T1^9*T2^6 - 646*T1^10*T2^6 + 5167*T1^11*T2^6 - 
     1646*T1^12*T2^6 - 40*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1718*T1^2*T2^7 - 2234*T1^3*T2^7 + 14970*T1^4*T2^7 - 
     11419*T1^5*T2^7 - 11688*T1^6*T2^7 + 28815*T1^7*T2^7 - 17039*T1^8*T2^7 - 
     5947*T1^9*T2^7 + 16815*T1^10*T2^7 - 10547*T1^11*T2^7 + 7*T1^12*T2^7 + 
     1480*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 80*T1^2*T2^8 + 3829*T1^3*T2^8 - 8572*T1^4*T2^8 - 
     4081*T1^5*T2^8 + 22706*T1^6*T2^8 - 17039*T1^7*T2^8 - 7716*T1^8*T2^8 + 
     23999*T1^9*T2^8 - 16012*T1^10*T2^8 + 793*T1^11*T2^8 + 8796*T1^12*T2^8 - 
     3777*T1^13*T2^8 - 80*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1484*T1^3*T2^9 - 169*T1^4*T2^9 + 
     11271*T1^5*T2^9 - 14909*T1^6*T2^9 - 5947*T1^7*T2^9 + 23999*T1^8*T2^9 - 
     21855*T1^9*T2^9 - 206*T1^10*T2^9 + 13325*T1^11*T2^9 - 14246*T1^12*T2^9 + 
     2072*T1^13*T2^9 + 1714*T1^14*T2^9 - 368*T1^15*T2^9 - 32*T1^16*T2^9 - 
     52*T1^2*T2^10 + 40*T1^3*T2^10 + 1666*T1^4*T2^10 - 5079*T1^5*T2^10 - 
     646*T1^6*T2^10 + 16815*T1^7*T2^10 - 16012*T1^8*T2^10 - 206*T1^9*T2^10 + 
     21116*T1^10*T2^10 - 21889*T1^11*T2^10 + 11658*T1^12*T2^10 + 
     2981*T1^13*T2^10 - 3346*T1^14*T2^10 + 296*T1^15*T2^10 + 
     104*T1^16*T2^10 + 47*T1^3*T2^11 - 376*T1^4*T2^11 - 14*T1^5*T2^11 + 
     5167*T1^6*T2^11 - 10547*T1^7*T2^11 + 793*T1^8*T2^11 + 13325*T1^9*T2^11 - 
     21889*T1^10*T2^11 + 12359*T1^11*T2^11 + 174*T1^12*T2^11 - 
     8358*T1^13*T2^11 + 3598*T1^14*T2^11 + 136*T1^15*T2^11 - 
     188*T1^16*T2^11 + 376*T1^5*T2^12 - 1646*T1^6*T2^12 + 7*T1^7*T2^12 + 
     8796*T1^8*T2^12 - 14246*T1^9*T2^12 + 11658*T1^10*T2^12 + 
     174*T1^11*T2^12 - 7764*T1^12*T2^12 + 8091*T1^13*T2^12 - 
     1734*T1^14*T2^12 - 696*T1^15*T2^12 + 228*T1^16*T2^12 - 47*T1^5*T2^13 - 
     40*T1^6*T2^13 + 1480*T1^7*T2^13 - 3777*T1^8*T2^13 + 2072*T1^9*T2^13 + 
     2981*T1^10*T2^13 - 8358*T1^11*T2^13 + 8091*T1^12*T2^13 - 
     4081*T1^13*T2^13 - 314*T1^14*T2^13 + 880*T1^15*T2^13 - 188*T1^16*T2^13 + 
     52*T1^6*T2^14 - 224*T1^7*T2^14 - 80*T1^8*T2^14 + 1714*T1^9*T2^14 - 
     3346*T1^10*T2^14 + 3598*T1^11*T2^14 - 1734*T1^12*T2^14 - 
     314*T1^13*T2^14 + 1220*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 368*T1^9*T2^15 + 296*T1^10*T2^15 + 
     136*T1^11*T2^15 - 696*T1^12*T2^15 + 880*T1^13*T2^15 - 640*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     104*T1^10*T2^16 - 188*T1^11*T2^16 + 228*T1^12*T2^16 - 188*T1^13*T2^16 + 
     104*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 135] -> 
  {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-17 + 128*T1 - 360*T1^2 + 489*T1^3 - 360*T1^4 + 128*T1^5 - 17*T1^6 + 
     128*T2 - 896*T1*T2 + 2198*T1^2*T2 - 2232*T1^3*T2 + 738*T1^4*T2 + 
     488*T1^5*T2 - 386*T1^6*T2 + 68*T1^7*T2 - 360*T2^2 + 2198*T1*T2^2 - 
     3754*T1^2*T2^2 - 493*T1^3*T2^2 + 6828*T1^4*T2^2 - 7549*T1^5*T2^2 + 
     2966*T1^6*T2^2 - 322*T1^7*T2^2 - 24*T1^8*T2^2 + 489*T2^3 - 
     2232*T1*T2^3 - 493*T1^2*T2^3 + 15476*T1^3*T2^3 - 25953*T1^4*T2^3 + 
     16923*T1^5*T2^3 - 256*T1^6*T2^3 - 4147*T1^7*T2^3 + 1638*T1^8*T2^3 - 
     195*T1^9*T2^3 - 360*T2^4 + 738*T1*T2^4 + 6828*T1^2*T2^4 - 
     25953*T1^3*T2^4 + 25088*T1^4*T2^4 + 7530*T1^5*T2^4 - 33292*T1^6*T2^4 + 
     23295*T1^7*T2^4 - 4710*T1^8*T2^4 - 882*T1^9*T2^4 + 312*T1^10*T2^4 + 
     128*T2^5 + 488*T1*T2^5 - 7549*T1^2*T2^5 + 16923*T1^3*T2^5 + 
     7530*T1^4*T2^5 - 60694*T1^5*T2^5 + 71132*T1^6*T2^5 - 23718*T1^7*T2^5 - 
     13209*T1^8*T2^5 + 9713*T1^9*T2^5 - 1042*T1^10*T2^5 - 172*T1^11*T2^5 - 
     17*T2^6 - 386*T1*T2^6 + 2966*T1^2*T2^6 - 256*T1^3*T2^6 - 
     33292*T1^4*T2^6 + 71132*T1^5*T2^6 - 34080*T1^6*T2^6 - 41404*T1^7*T2^6 + 
     57536*T1^8*T2^6 - 16744*T1^9*T2^6 - 2470*T1^10*T2^6 + 1054*T1^11*T2^6 + 
     31*T1^12*T2^6 + 68*T1*T2^7 - 322*T1^2*T2^7 - 4147*T1^3*T2^7 + 
     23295*T1^4*T2^7 - 23718*T1^5*T2^7 - 41404*T1^6*T2^7 + 90422*T1^7*T2^7 - 
     54966*T1^8*T2^7 - 6837*T1^9*T2^7 + 13115*T1^10*T2^7 - 1852*T1^11*T2^7 - 
     232*T1^12*T2^7 - 24*T1^2*T2^8 + 1638*T1^3*T2^8 - 4710*T1^4*T2^8 - 
     13209*T1^5*T2^8 + 57536*T1^6*T2^8 - 54966*T1^7*T2^8 - 844*T1^8*T2^8 + 
     36039*T1^9*T2^8 - 16248*T1^10*T2^8 + 18*T1^11*T2^8 + 648*T1^12*T2^8 - 
     195*T1^3*T2^9 - 882*T1^4*T2^9 + 9713*T1^5*T2^9 - 16744*T1^6*T2^9 - 
     6837*T1^7*T2^9 + 36039*T1^8*T2^9 - 32476*T1^9*T2^9 + 6059*T1^10*T2^9 + 
     2988*T1^11*T2^9 - 879*T1^12*T2^9 + 312*T1^4*T2^10 - 1042*T1^5*T2^10 - 
     2470*T1^6*T2^10 + 13115*T1^7*T2^10 - 16248*T1^8*T2^10 + 
     6059*T1^9*T2^10 + 4250*T1^10*T2^10 - 3562*T1^11*T2^10 + 
     648*T1^12*T2^10 - 172*T1^5*T2^11 + 1054*T1^6*T2^11 - 1852*T1^7*T2^11 + 
     18*T1^8*T2^11 + 2988*T1^9*T2^11 - 3562*T1^10*T2^11 + 1564*T1^11*T2^11 - 
     232*T1^12*T2^11 + 31*T1^6*T2^12 - 232*T1^7*T2^12 + 648*T1^8*T2^12 - 
     879*T1^9*T2^12 + 648*T1^10*T2^12 - 232*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 136] -> 
  {-((1 - 8*T + 26*T^2 - 47*T^3 + 55*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 141*T1^3 - 165*T1^4 + 141*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      712*T1^3*T2 + 568*T1^4*T2 - 248*T1^5*T2 - 128*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1030*T1^2*T2^2 + 
      548*T1^3*T2^2 + 1042*T1^4*T2^2 - 2138*T1^5*T2^2 + 2550*T1^6*T2^2 - 
      1480*T1^7*T2^2 + 270*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      141*T2^3 - 712*T1*T2^3 + 548*T1^2*T2^3 + 2499*T1^3*T2^3 - 
      6321*T1^4*T2^3 + 6418*T1^5*T2^3 - 4505*T1^6*T2^3 - 20*T1^7*T2^3 + 
      2195*T1^8*T2^3 - 1246*T1^9*T2^3 + 208*T1^10*T2^3 - 165*T2^4 + 
      568*T1*T2^4 + 1042*T1^2*T2^4 - 6321*T1^3*T2^4 + 8716*T1^4*T2^4 - 
      2636*T1^5*T2^4 - 3830*T1^6*T2^4 + 10592*T1^7*T2^4 - 8732*T1^8*T2^4 + 
      2139*T1^9*T2^4 + 746*T1^10*T2^4 - 440*T1^11*T2^4 + 55*T1^12*T2^4 + 
      141*T2^5 - 248*T1*T2^5 - 2138*T1^2*T2^5 + 6418*T1^3*T2^5 - 
      2636*T1^4*T2^5 - 10855*T1^5*T2^5 + 17486*T1^6*T2^5 - 18788*T1^7*T2^5 + 
      6471*T1^8*T2^5 + 6251*T1^9*T2^5 - 5859*T1^10*T2^5 + 1090*T1^11*T2^5 + 
      312*T1^12*T2^5 - 94*T1^13*T2^5 - 78*T2^6 - 128*T1*T2^6 + 
      2550*T1^2*T2^6 - 4505*T1^3*T2^6 - 3830*T1^4*T2^6 + 17486*T1^5*T2^6 - 
      15627*T1^6*T2^6 + 5967*T1^7*T2^6 + 12557*T1^8*T2^6 - 20170*T1^9*T2^6 + 
      5562*T1^10*T2^6 + 4387*T1^11*T2^6 - 2566*T1^12*T2^6 + 128*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1480*T1^2*T2^7 - 20*T1^3*T2^7 + 
      10592*T1^4*T2^7 - 18788*T1^5*T2^7 + 5967*T1^6*T2^7 + 10247*T1^7*T2^7 - 
      20661*T1^8*T2^7 + 12178*T1^9*T2^7 + 14722*T1^10*T2^7 - 
      15659*T1^11*T2^7 + 2315*T1^12*T2^7 + 1718*T1^13*T2^7 - 368*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 270*T1^2*T2^8 + 2195*T1^3*T2^8 - 
      8732*T1^4*T2^8 + 6471*T1^5*T2^8 + 12557*T1^6*T2^8 - 20661*T1^7*T2^8 + 
      8604*T1^8*T2^8 + 11541*T1^9*T2^8 - 31569*T1^10*T2^8 + 
      10577*T1^11*T2^8 + 8620*T1^12*T2^8 - 5411*T1^13*T2^8 + 110*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 
      1246*T1^3*T2^9 + 2139*T1^4*T2^9 + 6251*T1^5*T2^9 - 20170*T1^6*T2^9 + 
      12178*T1^7*T2^9 + 11541*T1^8*T2^9 - 19367*T1^9*T2^9 + 
      18389*T1^10*T2^9 + 13340*T1^11*T2^9 - 20000*T1^12*T2^9 + 
      4474*T1^13*T2^9 + 1952*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 
      26*T1^2*T2^10 + 208*T1^3*T2^10 + 746*T1^4*T2^10 - 5859*T1^5*T2^10 + 
      5562*T1^6*T2^10 + 14722*T1^7*T2^10 - 31569*T1^8*T2^10 + 
      18389*T1^9*T2^10 - 3385*T1^10*T2^10 - 22934*T1^11*T2^10 + 
      14954*T1^12*T2^10 + 3033*T1^13*T2^10 - 4370*T1^14*T2^10 + 
      464*T1^15*T2^10 + 130*T1^16*T2^10 - 440*T1^4*T2^11 + 1090*T1^5*T2^11 + 
      4387*T1^6*T2^11 - 15659*T1^7*T2^11 + 10577*T1^8*T2^11 + 
      13340*T1^9*T2^11 - 22934*T1^10*T2^11 + 27903*T1^11*T2^11 - 
      6772*T1^12*T2^11 - 7890*T1^13*T2^11 + 4318*T1^14*T2^11 + 
      120*T1^15*T2^11 - 235*T1^16*T2^11 + 55*T1^4*T2^12 + 312*T1^5*T2^12 - 
      2566*T1^6*T2^12 + 2315*T1^7*T2^12 + 8620*T1^8*T2^12 - 
      20000*T1^9*T2^12 + 14954*T1^10*T2^12 - 6772*T1^11*T2^12 - 
      8828*T1^12*T2^12 + 10775*T1^13*T2^12 - 2862*T1^14*T2^12 - 
      696*T1^15*T2^12 + 275*T1^16*T2^12 - 94*T1^5*T2^13 + 128*T1^6*T2^13 + 
      1718*T1^7*T2^13 - 5411*T1^8*T2^13 + 4474*T1^9*T2^13 + 
      3033*T1^10*T2^13 - 7890*T1^11*T2^13 + 10775*T1^12*T2^13 - 
      5715*T1^13*T2^13 - 76*T1^14*T2^13 + 1048*T1^15*T2^13 - 
      235*T1^16*T2^13 + 78*T1^6*T2^14 - 368*T1^7*T2^14 + 110*T1^8*T2^14 + 
      1952*T1^9*T2^14 - 4370*T1^10*T2^14 + 4318*T1^11*T2^14 - 
      2862*T1^12*T2^14 - 76*T1^13*T2^14 + 1410*T1^14*T2^14 - 
      784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      512*T1^9*T2^15 + 464*T1^10*T2^15 + 120*T1^11*T2^15 - 696*T1^12*T2^15 + 
      1048*T1^13*T2^15 - 784*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 130*T1^10*T2^16 - 235*T1^11*T2^16 + 
      275*T1^12*T2^16 - 235*T1^13*T2^16 + 130*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 137] -> 
  {-(((1 - 3*T + T^2)*(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6))/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 138*T1^3 - 159*T1^4 + 138*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      688*T1^3*T2 + 536*T1^4*T2 - 256*T1^5*T2 - 112*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1030*T1^2*T2^2 + 
      469*T1^3*T2^2 + 1073*T1^4*T2^2 - 1990*T1^5*T2^2 + 2477*T1^6*T2^2 - 
      1507*T1^7*T2^2 + 270*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      138*T2^3 - 688*T1*T2^3 + 469*T1^2*T2^3 + 2790*T1^3*T2^3 - 
      6368*T1^4*T2^3 + 6083*T1^5*T2^3 - 4573*T1^6*T2^3 + 190*T1^7*T2^3 + 
      2204*T1^8*T2^3 - 1247*T1^9*T2^3 + 208*T1^10*T2^3 - 159*T2^4 + 
      536*T1*T2^4 + 1073*T1^2*T2^4 - 6368*T1^3*T2^4 + 7848*T1^4*T2^4 - 
      1241*T1^5*T2^4 - 4040*T1^6*T2^4 + 10575*T1^7*T2^4 - 9096*T1^8*T2^4 + 
      2280*T1^9*T2^4 + 697*T1^10*T2^4 - 424*T1^11*T2^4 + 53*T1^12*T2^4 + 
      138*T2^5 - 256*T1*T2^5 - 1990*T1^2*T2^5 + 6083*T1^3*T2^5 - 
      1241*T1^4*T2^5 - 11970*T1^5*T2^5 + 16375*T1^6*T2^5 - 18265*T1^7*T2^5 + 
      7360*T1^8*T2^5 + 5689*T1^9*T2^5 - 5645*T1^10*T2^5 + 1010*T1^11*T2^5 + 
      312*T1^12*T2^5 - 92*T1^13*T2^5 - 78*T2^6 - 112*T1*T2^6 + 
      2477*T1^2*T2^6 - 4573*T1^3*T2^6 - 4040*T1^4*T2^6 + 16375*T1^5*T2^6 - 
      12569*T1^6*T2^6 + 6127*T1^7*T2^6 + 9807*T1^8*T2^6 - 18985*T1^9*T2^6 + 
      5416*T1^10*T2^6 + 4475*T1^11*T2^6 - 2487*T1^12*T2^6 + 112*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1507*T1^2*T2^7 + 
      190*T1^3*T2^7 + 10575*T1^4*T2^7 - 18265*T1^5*T2^7 + 6127*T1^6*T2^7 + 
      4180*T1^7*T2^7 - 13702*T1^8*T2^7 + 10219*T1^9*T2^7 + 14935*T1^10*T2^7 - 
      15899*T1^11*T2^7 + 1992*T1^12*T2^7 + 1769*T1^13*T2^7 - 368*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 270*T1^2*T2^8 + 2204*T1^3*T2^8 - 
      9096*T1^4*T2^8 + 7360*T1^5*T2^8 + 9807*T1^6*T2^8 - 13702*T1^7*T2^8 + 
      5640*T1^8*T2^8 + 7346*T1^9*T2^8 - 27857*T1^10*T2^8 + 8760*T1^11*T2^8 + 
      10112*T1^12*T2^8 - 5580*T1^13*T2^8 + 110*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 1247*T1^3*T2^9 + 
      2280*T1^4*T2^9 + 5689*T1^5*T2^9 - 18985*T1^6*T2^9 + 10219*T1^7*T2^9 + 
      7346*T1^8*T2^9 - 10536*T1^9*T2^9 + 14311*T1^10*T2^9 + 
      14215*T1^11*T2^9 - 20785*T1^12*T2^9 + 4082*T1^13*T2^9 + 
      2029*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      208*T1^3*T2^10 + 697*T1^4*T2^10 - 5645*T1^5*T2^10 + 5416*T1^6*T2^10 + 
      14935*T1^7*T2^10 - 27857*T1^8*T2^10 + 14311*T1^9*T2^10 - 
      5481*T1^10*T2^10 - 20425*T1^11*T2^10 + 14872*T1^12*T2^10 + 
      3403*T1^13*T2^10 - 4267*T1^14*T2^10 + 432*T1^15*T2^10 + 
      130*T1^16*T2^10 - 424*T1^4*T2^11 + 1010*T1^5*T2^11 + 4475*T1^6*T2^11 - 
      15899*T1^7*T2^11 + 8760*T1^8*T2^11 + 14215*T1^9*T2^11 - 
      20425*T1^10*T2^11 + 28090*T1^11*T2^11 - 8969*T1^12*T2^11 - 
      7253*T1^13*T2^11 + 4010*T1^14*T2^11 + 144*T1^15*T2^11 - 
      230*T1^16*T2^11 + 53*T1^4*T2^12 + 312*T1^5*T2^12 - 2487*T1^6*T2^12 + 
      1992*T1^7*T2^12 + 10112*T1^8*T2^12 - 20785*T1^9*T2^12 + 
      14872*T1^10*T2^12 - 8969*T1^11*T2^12 - 6832*T1^12*T2^12 + 
      10640*T1^13*T2^12 - 2863*T1^14*T2^12 - 648*T1^15*T2^12 + 
      265*T1^16*T2^12 - 92*T1^5*T2^13 + 112*T1^6*T2^13 + 1769*T1^7*T2^13 - 
      5580*T1^8*T2^13 + 4082*T1^9*T2^13 + 3403*T1^10*T2^13 - 
      7253*T1^11*T2^13 + 10640*T1^12*T2^13 - 6166*T1^13*T2^13 + 
      53*T1^14*T2^13 + 1008*T1^15*T2^13 - 230*T1^16*T2^13 + 78*T1^6*T2^14 - 
      368*T1^7*T2^14 + 110*T1^8*T2^14 + 2029*T1^9*T2^14 - 4267*T1^10*T2^14 + 
      4010*T1^11*T2^14 - 2863*T1^12*T2^14 + 53*T1^13*T2^14 + 
      1410*T1^14*T2^14 - 784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 512*T1^9*T2^15 + 432*T1^10*T2^15 + 144*T1^11*T2^15 - 
      648*T1^12*T2^15 + 1008*T1^13*T2^15 - 784*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 230*T1^11*T2^16 + 265*T1^12*T2^16 - 230*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 138] -> 
  {-((1 - 8*T + 26*T^2 - 48*T^3 + 57*T^4 - 48*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 130*T1^2 + 240*T1^3 - 285*T1^4 + 240*T1^5 - 
      130*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 784*T1^2*T2 - 
      1088*T1^3*T2 + 744*T1^4*T2 - 96*T1^5*T2 - 496*T1^6*T2 + 512*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 130*T2^2 + 784*T1*T2^2 - 1410*T1^2*T2^2 + 
      206*T1^3*T2^2 + 2858*T1^4*T2^2 - 4622*T1^5*T2^2 + 4470*T1^6*T2^2 - 
      1874*T1^7*T2^2 - 110*T1^8*T2^2 + 368*T1^9*T2^2 - 78*T1^10*T2^2 + 
      240*T2^3 - 1088*T1*T2^3 + 206*T1^2*T2^3 + 5244*T1^3*T2^3 - 
      10874*T1^4*T2^3 + 8510*T1^5*T2^3 - 2674*T1^6*T2^3 - 4842*T1^7*T2^3 + 
      5228*T1^8*T2^3 - 1666*T1^9*T2^3 - 144*T1^10*T2^3 + 96*T1^11*T2^3 - 
      285*T2^4 + 744*T1*T2^4 + 2858*T1^2*T2^4 - 10874*T1^3*T2^4 + 
      10872*T1^4*T2^4 + 4372*T1^5*T2^4 - 14826*T1^6*T2^4 + 19060*T1^7*T2^4 - 
      7080*T1^8*T2^4 - 2618*T1^9*T2^4 + 2642*T1^10*T2^4 - 312*T1^11*T2^4 - 
      57*T1^12*T2^4 + 240*T2^5 - 96*T1*T2^5 - 4622*T1^2*T2^5 + 
      8510*T1^3*T2^5 + 4372*T1^4*T2^5 - 27506*T1^5*T2^5 + 25510*T1^6*T2^5 - 
      12458*T1^7*T2^5 - 12314*T1^8*T2^5 + 15292*T1^9*T2^5 - 4306*T1^10*T2^5 - 
      1166*T1^11*T2^5 + 456*T1^12*T2^5 - 130*T2^6 - 496*T1*T2^6 + 
      4470*T1^2*T2^6 - 2674*T1^3*T2^6 - 14826*T1^4*T2^6 + 25510*T1^5*T2^6 + 
      1228*T1^6*T2^6 - 23136*T1^7*T2^6 + 35572*T1^8*T2^6 - 14522*T1^9*T2^6 - 
      5562*T1^10*T2^6 + 6062*T1^11*T2^6 - 798*T1^12*T2^6 - 208*T1^13*T2^6 + 
      26*T1^14*T2^6 + 40*T2^7 + 512*T1*T2^7 - 1874*T1^2*T2^7 - 
      4842*T1^3*T2^7 + 19060*T1^4*T2^7 - 12458*T1^5*T2^7 - 23136*T1^6*T2^7 + 
      29448*T1^7*T2^7 - 15632*T1^8*T2^7 - 14528*T1^9*T2^7 + 
      21382*T1^10*T2^7 - 6932*T1^11*T2^7 - 1978*T1^12*T2^7 + 
      1246*T1^13*T2^7 - 80*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 110*T1^2*T2^8 + 5228*T1^3*T2^8 - 7080*T1^4*T2^8 - 
      12314*T1^5*T2^8 + 35572*T1^6*T2^8 - 15632*T1^7*T2^8 - 13116*T1^8*T2^8 + 
      28592*T1^9*T2^8 - 15548*T1^10*T2^8 - 5402*T1^11*T2^8 + 
      8384*T1^12*T2^8 - 2196*T1^13*T2^8 - 270*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 368*T1^2*T2^9 - 1666*T1^3*T2^9 - 
      2618*T1^4*T2^9 + 15292*T1^5*T2^9 - 14522*T1^6*T2^9 - 14528*T1^7*T2^9 + 
      28592*T1^8*T2^9 - 16488*T1^9*T2^9 - 5920*T1^10*T2^9 + 
      19318*T1^11*T2^9 - 10700*T1^12*T2^9 + 246*T1^13*T2^9 + 
      1454*T1^14*T2^9 - 224*T1^15*T2^9 - 24*T1^16*T2^9 - 78*T1^2*T2^10 - 
      144*T1^3*T2^10 + 2642*T1^4*T2^10 - 4306*T1^5*T2^10 - 5562*T1^6*T2^10 + 
      21382*T1^7*T2^10 - 15548*T1^8*T2^10 - 5920*T1^9*T2^10 + 
      18796*T1^10*T2^10 - 18650*T1^11*T2^10 + 3702*T1^12*T2^10 + 
      4430*T1^13*T2^10 - 2626*T1^14*T2^10 + 144*T1^15*T2^10 + 
      78*T1^16*T2^10 + 96*T1^3*T2^11 - 312*T1^4*T2^11 - 1166*T1^5*T2^11 + 
      6062*T1^6*T2^11 - 6932*T1^7*T2^11 - 5402*T1^8*T2^11 + 
      19318*T1^9*T2^11 - 18650*T1^10*T2^11 + 9790*T1^11*T2^11 + 
      3988*T1^12*T2^11 - 6754*T1^13*T2^11 + 2290*T1^14*T2^11 + 
      240*T1^15*T2^11 - 144*T1^16*T2^11 - 57*T1^4*T2^12 + 456*T1^5*T2^12 - 
      798*T1^6*T2^12 - 1978*T1^7*T2^12 + 8384*T1^8*T2^12 - 10700*T1^9*T2^12 + 
      3702*T1^10*T2^12 + 3988*T1^11*T2^12 - 9568*T1^12*T2^12 + 
      6278*T1^13*T2^12 - 1014*T1^14*T2^12 - 600*T1^15*T2^12 + 
      171*T1^16*T2^12 - 208*T1^6*T2^13 + 1246*T1^7*T2^13 - 2196*T1^8*T2^13 + 
      246*T1^9*T2^13 + 4430*T1^10*T2^13 - 6754*T1^11*T2^13 + 
      6278*T1^12*T2^13 - 2212*T1^13*T2^13 - 626*T1^14*T2^13 + 
      736*T1^15*T2^13 - 144*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 - 
      270*T1^8*T2^14 + 1454*T1^9*T2^14 - 2626*T1^10*T2^14 + 
      2290*T1^11*T2^14 - 1014*T1^12*T2^14 - 626*T1^13*T2^14 + 
      1030*T1^14*T2^14 - 496*T1^15*T2^14 + 78*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 224*T1^9*T2^15 + 144*T1^10*T2^15 + 240*T1^11*T2^15 - 
      600*T1^12*T2^15 + 736*T1^13*T2^15 - 496*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 78*T1^10*T2^16 - 
      144*T1^11*T2^16 + 171*T1^12*T2^16 - 144*T1^13*T2^16 + 78*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 139] -> 
  {(1 - 8*T + 28*T^2 - 56*T^3 + 71*T^4 - 56*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 224*T1^3 - 284*T1^4 + 224*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1120*T1^3*T2 + 
     928*T1^4*T2 - 88*T1^5*T2 - 448*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1343*T1^3*T2^2 + 
     1233*T1^4*T2^2 - 4224*T1^5*T2^2 + 3641*T1^6*T2^2 - 1345*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 224*T2^3 - 
     1120*T1*T2^3 + 1343*T1^2*T2^3 + 2756*T1^3*T2^3 - 9642*T1^4*T2^3 + 
     11649*T1^5*T2^3 - 2687*T1^6*T2^3 - 4098*T1^7*T2^3 + 4268*T1^8*T2^3 - 
     1345*T1^9*T2^3 + 56*T1^11*T2^3 - 284*T2^4 + 928*T1*T2^4 + 
     1233*T1^2*T2^4 - 9642*T1^3*T2^4 + 14709*T1^4*T2^4 - 4123*T1^5*T2^4 - 
     19073*T1^6*T2^4 + 20773*T1^7*T2^4 - 8419*T1^8*T2^4 - 1354*T1^9*T2^4 + 
     2017*T1^10*T2^4 - 448*T1^11*T2^4 + 224*T2^5 - 88*T1*T2^5 - 
     4224*T1^2*T2^5 + 11649*T1^3*T2^5 - 4123*T1^4*T2^5 - 23380*T1^5*T2^5 + 
     46150*T1^6*T2^5 - 19930*T1^7*T2^5 - 10324*T1^8*T2^5 + 16677*T1^9*T2^5 - 
     6271*T1^10*T2^5 + 448*T1^12*T2^5 - 56*T1^13*T2^5 - 112*T2^6 - 
     448*T1*T2^6 + 3641*T1^2*T2^6 - 2687*T1^3*T2^6 - 19073*T1^4*T2^6 + 
     46150*T1^5*T2^6 - 38416*T1^6*T2^6 - 24172*T1^7*T2^6 + 51072*T1^8*T2^6 - 
     28666*T1^9*T2^6 - 145*T1^10*T2^6 + 6273*T1^11*T2^6 - 2015*T1^12*T2^6 + 
     56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 1345*T1^2*T2^7 - 
     4098*T1^3*T2^7 + 20773*T1^4*T2^7 - 19930*T1^5*T2^7 - 24172*T1^6*T2^7 + 
     84724*T1^7*T2^7 - 64908*T1^8*T2^7 + 468*T1^9*T2^7 + 28678*T1^10*T2^7 - 
     16411*T1^11*T2^7 + 1334*T1^12*T2^7 + 1343*T1^13*T2^7 - 256*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 144*T1^2*T2^8 + 4268*T1^3*T2^8 - 
     8419*T1^4*T2^8 - 10324*T1^5*T2^8 + 51072*T1^6*T2^8 - 64908*T1^7*T2^8 + 
     216*T1^8*T2^8 + 64564*T1^9*T2^8 - 51744*T1^10*T2^8 + 10220*T1^11*T2^8 + 
     8277*T1^12*T2^8 - 4244*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1345*T1^3*T2^9 - 
     1354*T1^4*T2^9 + 16677*T1^5*T2^9 - 28666*T1^6*T2^9 + 468*T1^7*T2^9 + 
     64564*T1^8*T2^9 - 85068*T1^9*T2^9 + 25108*T1^10*T2^9 + 
     19942*T1^11*T2^9 - 20507*T1^12*T2^9 + 4078*T1^13*T2^9 + 
     1343*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 + 
     2017*T1^4*T2^10 - 6271*T1^5*T2^10 - 145*T1^6*T2^10 + 28678*T1^7*T2^10 - 
     51744*T1^8*T2^10 + 25108*T1^9*T2^10 + 37744*T1^10*T2^10 - 
     46138*T1^11*T2^10 + 18783*T1^12*T2^10 + 2689*T1^13*T2^10 - 
     3639*T1^14*T2^10 + 448*T1^15*T2^10 + 112*T1^16*T2^10 + 56*T1^3*T2^11 - 
     448*T1^4*T2^11 + 6273*T1^6*T2^11 - 16411*T1^7*T2^11 + 10220*T1^8*T2^11 + 
     19942*T1^9*T2^11 - 46138*T1^10*T2^11 + 23276*T1^11*T2^11 + 
     4389*T1^12*T2^11 - 11647*T1^13*T2^11 + 4224*T1^14*T2^11 + 
     88*T1^15*T2^11 - 224*T1^16*T2^11 + 448*T1^5*T2^12 - 2015*T1^6*T2^12 + 
     1334*T1^7*T2^12 + 8277*T1^8*T2^12 - 20507*T1^9*T2^12 + 
     18783*T1^10*T2^12 + 4389*T1^11*T2^12 - 14851*T1^12*T2^12 + 
     9622*T1^13*T2^12 - 1231*T1^14*T2^12 - 928*T1^15*T2^12 + 
     284*T1^16*T2^12 - 56*T1^5*T2^13 + 1343*T1^7*T2^13 - 4244*T1^8*T2^13 + 
     4078*T1^9*T2^13 + 2689*T1^10*T2^13 - 11647*T1^11*T2^13 + 
     9622*T1^12*T2^13 - 2732*T1^13*T2^13 - 1345*T1^14*T2^13 + 
     1120*T1^15*T2^13 - 224*T1^16*T2^13 + 56*T1^6*T2^14 - 256*T1^7*T2^14 + 
     144*T1^8*T2^14 + 1343*T1^9*T2^14 - 3639*T1^10*T2^14 + 4224*T1^11*T2^14 - 
     1231*T1^12*T2^14 - 1345*T1^13*T2^14 + 1656*T1^14*T2^14 - 
     704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     416*T1^9*T2^15 + 448*T1^10*T2^15 + 88*T1^11*T2^15 - 928*T1^12*T2^15 + 
     1120*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 224*T1^11*T2^16 + 
     284*T1^12*T2^16 - 224*T1^13*T2^16 + 112*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 140] -> 
  {-((2 - 15*T + 43*T^2 - 61*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-25 + 188*T1 - 540*T1^2 + 767*T1^3 - 540*T1^4 + 188*T1^5 - 25*T1^6 + 
      188*T2 - 1286*T1*T2 + 3098*T1^2*T2 - 2998*T1^3*T2 + 122*T1^4*T2 + 
      1358*T1^5*T2 - 776*T1^6*T2 + 128*T1^7*T2 - 540*T2^2 + 3098*T1*T2^2 - 
      4605*T1^2*T2^2 - 2820*T1^3*T2^2 + 13735*T1^4*T2^2 - 10732*T1^5*T2^2 + 
      2447*T1^6*T2^2 + 518*T1^7*T2^2 - 196*T1^8*T2^2 + 767*T2^3 - 
      2998*T1*T2^3 - 2820*T1^2*T2^3 + 25323*T1^3*T2^3 - 36744*T1^4*T2^3 + 
      9108*T1^5*T2^3 + 10971*T1^6*T2^3 - 7593*T1^7*T2^3 + 1202*T1^8*T2^3 + 
      35*T1^9*T2^3 - 540*T2^4 + 122*T1*T2^4 + 13735*T1^2*T2^4 - 
      36744*T1^3*T2^4 + 18871*T1^4*T2^4 + 43635*T1^5*T2^4 - 51205*T1^6*T2^4 + 
      17302*T1^7*T2^4 + 1077*T1^8*T2^4 - 1378*T1^9*T2^4 + 148*T1^10*T2^4 + 
      188*T2^5 + 1358*T1*T2^5 - 10732*T1^2*T2^5 + 9108*T1^3*T2^5 + 
      43635*T1^4*T2^5 - 102430*T1^5*T2^5 + 60682*T1^6*T2^5 + 6956*T1^7*T2^5 - 
      20356*T1^8*T2^5 + 6597*T1^9*T2^5 - 262*T1^10*T2^5 - 112*T1^11*T2^5 - 
      25*T2^6 - 776*T1*T2^6 + 2447*T1^2*T2^6 + 10971*T1^3*T2^6 - 
      51205*T1^4*T2^6 + 60682*T1^5*T2^6 + 15948*T1^6*T2^6 - 72886*T1^7*T2^6 + 
      46545*T1^8*T2^6 - 7263*T1^9*T2^6 - 2625*T1^10*T2^6 + 664*T1^11*T2^6 + 
      23*T1^12*T2^6 + 128*T1*T2^7 + 518*T1^2*T2^7 - 7593*T1^3*T2^7 + 
      17302*T1^4*T2^7 + 6956*T1^5*T2^7 - 72886*T1^6*T2^7 + 90226*T1^7*T2^7 - 
      29723*T1^8*T2^7 - 12162*T1^9*T2^7 + 9736*T1^10*T2^7 - 1102*T1^11*T2^7 - 
      172*T1^12*T2^7 - 196*T1^2*T2^8 + 1202*T1^3*T2^8 + 1077*T1^4*T2^8 - 
      20356*T1^5*T2^8 + 46545*T1^6*T2^8 - 29723*T1^7*T2^8 - 23531*T1^8*T2^8 + 
      33690*T1^9*T2^8 - 11581*T1^10*T2^8 - 298*T1^11*T2^8 + 492*T1^12*T2^8 + 
      35*T1^3*T2^9 - 1378*T1^4*T2^9 + 6597*T1^5*T2^9 - 7263*T1^6*T2^9 - 
      12162*T1^7*T2^9 + 33690*T1^8*T2^9 - 21615*T1^9*T2^9 + 1824*T1^10*T2^9 + 
      2822*T1^11*T2^9 - 697*T1^12*T2^9 + 148*T1^4*T2^10 - 262*T1^5*T2^10 - 
      2625*T1^6*T2^10 + 9736*T1^7*T2^10 - 11581*T1^8*T2^10 + 
      1824*T1^9*T2^10 + 4427*T1^10*T2^10 - 2842*T1^11*T2^10 + 
      492*T1^12*T2^10 - 112*T1^5*T2^11 + 664*T1^6*T2^11 - 1102*T1^7*T2^11 - 
      298*T1^8*T2^11 + 2822*T1^9*T2^11 - 2842*T1^10*T2^11 + 
      1174*T1^11*T2^11 - 172*T1^12*T2^11 + 23*T1^6*T2^12 - 172*T1^7*T2^12 + 
      492*T1^8*T2^12 - 697*T1^9*T2^12 + 492*T1^10*T2^12 - 172*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 141] -> 
  {(1 - 7*T + 20*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 132*T1^3 - 156*T1^4 + 132*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 504*T1^3*T2 + 
     399*T1^4*T2 - 105*T1^5*T2 - 133*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 610*T1^2*T2^2 - 23*T1^3*T2^2 + 
     931*T1^4*T2^2 - 1770*T1^5*T2^2 + 1691*T1^6*T2^2 - 1063*T1^7*T2^2 + 
     150*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 132*T2^3 - 504*T1*T2^3 - 
     23*T1^2*T2^3 + 2115*T1^3*T2^3 - 3301*T1^4*T2^3 + 3414*T1^5*T2^3 - 
     1419*T1^6*T2^3 - 435*T1^7*T2^3 + 1701*T1^8*T2^3 - 883*T1^9*T2^3 + 
     49*T1^10*T2^3 + 33*T1^11*T2^3 - 156*T2^4 + 399*T1*T2^4 + 931*T1^2*T2^4 - 
     3301*T1^3*T2^4 + 2288*T1^4*T2^4 - 238*T1^5*T2^4 - 3500*T1^6*T2^4 + 
     4484*T1^7*T2^4 - 3796*T1^8*T2^4 + 329*T1^9*T2^4 + 817*T1^10*T2^4 - 
     231*T1^11*T2^4 + 132*T2^5 - 105*T1*T2^5 - 1770*T1^2*T2^5 + 
     3414*T1^3*T2^5 - 238*T1^4*T2^5 - 1900*T1^5*T2^5 + 4987*T1^6*T2^5 - 
     3581*T1^7*T2^5 + 1016*T1^8*T2^5 + 3353*T1^9*T2^5 - 2241*T1^10*T2^5 + 
     3*T1^11*T2^5 + 231*T1^12*T2^5 - 33*T1^13*T2^5 - 80*T2^6 - 133*T1*T2^6 + 
     1691*T1^2*T2^6 - 1419*T1^3*T2^6 - 3500*T1^4*T2^6 + 4987*T1^5*T2^6 - 
     7062*T1^6*T2^6 + 3346*T1^7*T2^6 + 834*T1^8*T2^6 - 4421*T1^9*T2^6 + 
     328*T1^10*T2^6 + 2181*T1^11*T2^6 - 817*T1^12*T2^6 - 49*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 1063*T1^2*T2^7 - 435*T1^3*T2^7 + 
     4484*T1^4*T2^7 - 3581*T1^5*T2^7 + 3346*T1^6*T2^7 + 1710*T1^7*T2^7 - 
     4522*T1^8*T2^7 + 3297*T1^9*T2^7 + 3307*T1^10*T2^7 - 3631*T1^11*T2^7 - 
     245*T1^12*T2^7 + 877*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 150*T1^2*T2^8 + 1701*T1^3*T2^8 - 3796*T1^4*T2^8 + 
     1016*T1^5*T2^8 + 834*T1^6*T2^8 - 4522*T1^7*T2^8 + 4020*T1^8*T2^8 + 
     790*T1^9*T2^8 - 4536*T1^10*T2^8 + 800*T1^11*T2^8 + 3568*T1^12*T2^8 - 
     1705*T1^13*T2^8 - 148*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 883*T1^3*T2^9 + 329*T1^4*T2^9 + 
     3353*T1^5*T2^9 - 4421*T1^6*T2^9 + 3297*T1^7*T2^9 + 790*T1^8*T2^9 - 
     5442*T1^9*T2^9 + 3248*T1^10*T2^9 + 2467*T1^11*T2^9 - 4762*T1^12*T2^9 + 
     519*T1^13*T2^9 + 1057*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 49*T1^3*T2^10 + 817*T1^4*T2^10 - 2241*T1^5*T2^10 + 
     328*T1^6*T2^10 + 3307*T1^7*T2^10 - 4536*T1^8*T2^10 + 3248*T1^9*T2^10 + 
     3360*T1^10*T2^10 - 6101*T1^11*T2^10 + 4156*T1^12*T2^10 + 
     1359*T1^13*T2^10 - 1691*T1^14*T2^10 + 133*T1^15*T2^10 + 80*T1^16*T2^10 + 
     33*T1^3*T2^11 - 231*T1^4*T2^11 + 3*T1^5*T2^11 + 2181*T1^6*T2^11 - 
     3631*T1^7*T2^11 + 800*T1^8*T2^11 + 2467*T1^9*T2^11 - 6101*T1^10*T2^11 + 
     3716*T1^11*T2^11 - 40*T1^12*T2^11 - 3474*T1^13*T2^11 + 
     1776*T1^14*T2^11 + 105*T1^15*T2^11 - 132*T1^16*T2^11 + 231*T1^5*T2^12 - 
     817*T1^6*T2^12 - 245*T1^7*T2^12 + 3568*T1^8*T2^12 - 4762*T1^9*T2^12 + 
     4156*T1^10*T2^12 - 40*T1^11*T2^12 - 2516*T1^12*T2^12 + 
     3385*T1^13*T2^12 - 931*T1^14*T2^12 - 399*T1^15*T2^12 + 156*T1^16*T2^12 - 
     33*T1^5*T2^13 - 49*T1^6*T2^13 + 877*T1^7*T2^13 - 1705*T1^8*T2^13 + 
     519*T1^9*T2^13 + 1359*T1^10*T2^13 - 3474*T1^11*T2^13 + 
     3385*T1^12*T2^13 - 2119*T1^13*T2^13 + 17*T1^14*T2^13 + 504*T1^15*T2^13 - 
     132*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 148*T1^8*T2^14 + 
     1057*T1^9*T2^14 - 1691*T1^10*T2^14 + 1776*T1^11*T2^14 - 
     931*T1^12*T2^14 + 17*T1^13*T2^14 + 612*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     133*T1^10*T2^15 + 105*T1^11*T2^15 - 399*T1^12*T2^15 + 504*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 132*T1^11*T2^16 + 156*T1^12*T2^16 - 
     132*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 142] -> 
  {(1 - 7*T + 22*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 132*T1^2 + 234*T1^3 - 282*T1^4 + 234*T1^5 - 132*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 679*T1^2*T2 - 868*T1^3*T2 + 
     609*T1^4*T2 + 7*T1^5*T2 - 441*T1^6*T2 + 476*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 132*T2^2 + 679*T1*T2^2 - 1276*T1^2*T2^2 + 365*T1^3*T2^2 + 
     1441*T1^4*T2^2 - 2970*T1^5*T2^2 + 2541*T1^6*T2^2 - 1043*T1^7*T2^2 - 
     352*T1^8*T2^2 + 371*T1^9*T2^2 - 88*T1^10*T2^2 + 234*T2^3 - 868*T1*T2^3 + 
     365*T1^2*T2^3 + 3665*T1^3*T2^3 - 6399*T1^4*T2^3 + 5666*T1^5*T2^3 - 
     441*T1^6*T2^3 - 3323*T1^7*T2^3 + 3879*T1^8*T2^3 - 977*T1^9*T2^3 - 
     203*T1^10*T2^3 + 117*T1^11*T2^3 - 282*T2^4 + 609*T1*T2^4 + 
     1441*T1^2*T2^4 - 6399*T1^3*T2^4 + 3181*T1^4*T2^4 + 5148*T1^5*T2^4 - 
     14417*T1^6*T2^4 + 12782*T1^7*T2^4 - 5643*T1^8*T2^4 - 2265*T1^9*T2^4 + 
     1755*T1^10*T2^4 - 161*T1^11*T2^4 - 94*T1^12*T2^4 + 234*T2^5 + 
     7*T1*T2^5 - 2970*T1^2*T2^5 + 5666*T1^3*T2^5 + 5148*T1^4*T2^5 - 
     14554*T1^5*T2^5 + 16616*T1^6*T2^5 - 2620*T1^7*T2^5 - 7714*T1^8*T2^5 + 
     10581*T1^9*T2^5 - 1579*T1^10*T2^5 - 1209*T1^11*T2^5 + 385*T1^12*T2^5 + 
     39*T1^13*T2^5 - 132*T2^6 - 441*T1*T2^6 + 2541*T1^2*T2^6 - 
     441*T1^3*T2^6 - 14417*T1^4*T2^6 + 16616*T1^5*T2^6 - 7623*T1^6*T2^6 - 
     10957*T1^7*T2^6 + 11905*T1^8*T2^6 - 4476*T1^9*T2^6 - 7373*T1^10*T2^6 + 
     3959*T1^11*T2^6 - 131*T1^12*T2^6 - 273*T1^13*T2^6 + 42*T2^7 + 
     476*T1*T2^7 - 1043*T1^2*T2^7 - 3323*T1^3*T2^7 + 12782*T1^4*T2^7 - 
     2620*T1^5*T2^7 - 10957*T1^6*T2^7 + 18878*T1^7*T2^7 - 3684*T1^8*T2^7 - 
     8418*T1^9*T2^7 + 12904*T1^10*T2^7 - 1455*T1^11*T2^7 - 2167*T1^12*T2^7 + 
     695*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     352*T1^2*T2^8 + 3879*T1^3*T2^8 - 5643*T1^4*T2^8 - 7714*T1^5*T2^8 + 
     11905*T1^6*T2^8 - 3684*T1^7*T2^8 - 15204*T1^8*T2^8 + 16532*T1^9*T2^8 - 
     7673*T1^10*T2^8 - 5830*T1^11*T2^8 + 4565*T1^12*T2^8 - 475*T1^13*T2^8 - 
     298*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     371*T1^2*T2^9 - 977*T1^3*T2^9 - 2265*T1^4*T2^9 + 10581*T1^5*T2^9 - 
     4476*T1^6*T2^9 - 8418*T1^7*T2^9 + 16532*T1^8*T2^9 - 6030*T1^9*T2^9 - 
     5879*T1^10*T2^9 + 11048*T1^11*T2^9 - 3656*T1^12*T2^9 - 1109*T1^13*T2^9 + 
     761*T1^14*T2^9 - 56*T1^15*T2^9 - 14*T1^16*T2^9 - 88*T1^2*T2^10 - 
     203*T1^3*T2^10 + 1755*T1^4*T2^10 - 1579*T1^5*T2^10 - 7373*T1^6*T2^10 + 
     12904*T1^7*T2^10 - 7673*T1^8*T2^10 - 5879*T1^9*T2^10 + 
     11855*T1^10*T2^10 - 8188*T1^11*T2^10 - 329*T1^12*T2^10 + 
     2821*T1^13*T2^10 - 917*T1^14*T2^10 - 35*T1^15*T2^10 + 44*T1^16*T2^10 + 
     117*T1^3*T2^11 - 161*T1^4*T2^11 - 1209*T1^5*T2^11 + 3959*T1^6*T2^11 - 
     1455*T1^7*T2^11 - 5830*T1^8*T2^11 + 11048*T1^9*T2^11 - 
     8188*T1^10*T2^11 + 1010*T1^11*T2^11 + 3978*T1^12*T2^11 - 
     3286*T1^13*T2^11 + 552*T1^14*T2^11 + 217*T1^15*T2^11 - 78*T1^16*T2^11 - 
     94*T1^4*T2^12 + 385*T1^5*T2^12 - 131*T1^6*T2^12 - 2167*T1^7*T2^12 + 
     4565*T1^8*T2^12 - 3656*T1^9*T2^12 - 329*T1^10*T2^12 + 3978*T1^11*T2^12 - 
     4259*T1^12*T2^12 + 1967*T1^13*T2^12 + 183*T1^14*T2^12 - 
     385*T1^15*T2^12 + 94*T1^16*T2^12 + 39*T1^5*T2^13 - 273*T1^6*T2^13 + 
     695*T1^7*T2^13 - 475*T1^8*T2^13 - 1109*T1^9*T2^13 + 2821*T1^10*T2^13 - 
     3286*T1^11*T2^13 + 1967*T1^12*T2^13 - 261*T1^13*T2^13 - 
     647*T1^14*T2^13 + 392*T1^15*T2^13 - 78*T1^16*T2^13 + 49*T1^7*T2^14 - 
     298*T1^8*T2^14 + 761*T1^9*T2^14 - 917*T1^10*T2^14 + 552*T1^11*T2^14 + 
     183*T1^12*T2^14 - 647*T1^13*T2^14 + 626*T1^14*T2^14 - 259*T1^15*T2^14 + 
     44*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 56*T1^9*T2^15 - 
     35*T1^10*T2^15 + 217*T1^11*T2^15 - 385*T1^12*T2^15 + 392*T1^13*T2^15 - 
     259*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 44*T1^10*T2^16 - 78*T1^11*T2^16 + 94*T1^12*T2^16 - 
     78*T1^13*T2^16 + 44*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 143] -> 
  {(3 - 8*T + 12*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 12*T^6 - 8*T^7 + 3*T^8)/
    T^4, -((219 - 580*T1 + 868*T1^2 - 939*T1^3 + 939*T1^4 - 939*T1^5 + 
      868*T1^6 - 580*T1^7 + 219*T1^8 - 580*T2 + 1032*T1*T2 - 959*T1^2*T2 + 
      478*T1^3*T2 - 312*T1^4*T2 + 312*T1^5*T2 - 122*T1^6*T2 - 479*T1^7*T2 + 
      768*T1^8*T2 - 508*T1^9*T2 + 868*T2^2 - 959*T1*T2^2 + 490*T1^2*T2^2 - 
      18*T1^3*T2^2 + 401*T1^4*T2^2 - 606*T1^5*T2^2 + 329*T1^6*T2^2 + 
      342*T1^7*T2^2 - 158*T1^8*T2^2 - 383*T1^9*T2^2 + 652*T1^10*T2^2 - 
      939*T2^3 + 478*T1*T2^3 - 18*T1^2*T2^3 - 111*T1^3*T2^3 - 577*T1^4*T2^3 + 
      442*T1^5*T2^3 + 13*T1^6*T2^3 - 520*T1^7*T2^3 - 63*T1^8*T2^3 + 
      330*T1^9*T2^3 - 170*T1^10*T2^3 - 588*T1^11*T2^3 + 939*T2^4 - 
      312*T1*T2^4 + 401*T1^2*T2^4 - 577*T1^3*T2^4 + 1219*T1^4*T2^4 - 
      771*T1^5*T2^4 + 497*T1^6*T2^4 - 199*T1^7*T2^4 + 699*T1^8*T2^4 - 
      421*T1^9*T2^4 + 193*T1^10*T2^4 + 312*T1^11*T2^4 + 471*T1^12*T2^4 - 
      939*T2^5 + 312*T1*T2^5 - 606*T1^2*T2^5 + 442*T1^3*T2^5 - 
      771*T1^4*T2^5 + 245*T1^5*T2^5 - 235*T1^6*T2^5 - 79*T1^7*T2^5 - 
      223*T1^8*T2^5 - 108*T1^9*T2^5 - 65*T1^10*T2^5 - 294*T1^11*T2^5 - 
      312*T1^12*T2^5 - 354*T1^13*T2^5 + 868*T2^6 - 122*T1*T2^6 + 
      329*T1^2*T2^6 + 13*T1^3*T2^6 + 497*T1^4*T2^6 - 235*T1^5*T2^6 + 
      347*T1^6*T2^6 + 99*T1^7*T2^6 + 171*T1^8*T2^6 - 27*T1^9*T2^6 + 
      289*T1^10*T2^6 + 325*T1^11*T2^6 + 129*T1^12*T2^6 + 358*T1^13*T2^6 + 
      220*T1^14*T2^6 - 580*T2^7 - 479*T1*T2^7 + 342*T1^2*T2^7 - 
      520*T1^3*T2^7 - 199*T1^4*T2^7 - 79*T1^5*T2^7 + 99*T1^6*T2^7 - 
      473*T1^7*T2^7 - 27*T1^8*T2^7 + 38*T1^9*T2^7 - 131*T1^10*T2^7 - 
      498*T1^11*T2^7 - 181*T1^12*T2^7 - 78*T1^13*T2^7 - 383*T1^14*T2^7 - 
      76*T1^15*T2^7 + 219*T2^8 + 768*T1*T2^8 - 158*T1^2*T2^8 - 63*T1^3*T2^8 + 
      699*T1^4*T2^8 - 223*T1^5*T2^8 + 171*T1^6*T2^8 - 27*T1^7*T2^8 + 
      540*T1^8*T2^8 - 365*T1^9*T2^8 + 229*T1^10*T2^8 + 167*T1^11*T2^8 + 
      547*T1^12*T2^8 - 141*T1^13*T2^8 + 322*T1^14*T2^8 + 192*T1^15*T2^8 + 
      3*T1^16*T2^8 - 508*T1*T2^9 - 383*T1^2*T2^9 + 330*T1^3*T2^9 - 
      421*T1^4*T2^9 - 108*T1^5*T2^9 - 27*T1^6*T2^9 + 38*T1^7*T2^9 - 
      365*T1^8*T2^9 + 81*T1^9*T2^9 - 23*T1^10*T2^9 - 79*T1^11*T2^9 - 
      407*T1^12*T2^9 - 82*T1^13*T2^9 - 90*T1^14*T2^9 - 287*T1^15*T2^9 - 
      4*T1^16*T2^9 + 652*T1^2*T2^10 - 170*T1^3*T2^10 + 193*T1^4*T2^10 - 
      65*T1^5*T2^10 + 289*T1^6*T2^10 - 131*T1^7*T2^10 + 229*T1^8*T2^10 - 
      23*T1^9*T2^10 + 53*T1^10*T2^10 + 77*T1^11*T2^10 + 81*T1^12*T2^10 + 
      247*T1^13*T2^10 - 7*T1^14*T2^10 + 310*T1^15*T2^10 + 4*T1^16*T2^10 - 
      588*T1^3*T2^11 + 312*T1^4*T2^11 - 294*T1^5*T2^11 + 325*T1^6*T2^11 - 
      498*T1^7*T2^11 + 167*T1^8*T2^11 - 79*T1^9*T2^11 + 77*T1^10*T2^11 - 
      301*T1^11*T2^11 + 165*T1^12*T2^11 - 182*T1^13*T2^11 + 18*T1^14*T2^11 - 
      312*T1^15*T2^11 - 3*T1^16*T2^11 + 471*T1^4*T2^12 - 312*T1^5*T2^12 + 
      129*T1^6*T2^12 - 181*T1^7*T2^12 + 547*T1^8*T2^12 - 407*T1^9*T2^12 + 
      81*T1^10*T2^12 + 165*T1^11*T2^12 + 27*T1^12*T2^12 - 25*T1^13*T2^12 - 
      79*T1^14*T2^12 + 312*T1^15*T2^12 + 3*T1^16*T2^12 - 354*T1^5*T2^13 + 
      358*T1^6*T2^13 - 78*T1^7*T2^13 - 141*T1^8*T2^13 - 82*T1^9*T2^13 + 
      247*T1^10*T2^13 - 182*T1^11*T2^13 - 25*T1^12*T2^13 - 93*T1^13*T2^13 + 
      270*T1^14*T2^13 - 290*T1^15*T2^13 - 3*T1^16*T2^13 + 220*T1^6*T2^14 - 
      383*T1^7*T2^14 + 322*T1^8*T2^14 - 90*T1^9*T2^14 - 7*T1^10*T2^14 + 
      18*T1^11*T2^14 - 79*T1^12*T2^14 + 270*T1^13*T2^14 - 326*T1^14*T2^14 + 
      193*T1^15*T2^14 + 4*T1^16*T2^14 - 76*T1^7*T2^15 + 192*T1^8*T2^15 - 
      287*T1^9*T2^15 + 310*T1^10*T2^15 - 312*T1^11*T2^15 + 312*T1^12*T2^15 - 
      290*T1^13*T2^15 + 193*T1^14*T2^15 - 72*T1^15*T2^15 - 4*T1^16*T2^15 + 
      3*T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^10*T2^16 - 3*T1^11*T2^16 + 
      3*T1^12*T2^16 - 3*T1^13*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 144] -> 
  {(6 - 19*T + 32*T^2 - 37*T^3 + 32*T^4 - 19*T^5 + 6*T^6)/T^3, 
   -((1347 - 4220*T1 + 7068*T1^2 - 8153*T1^3 + 7068*T1^4 - 4220*T1^5 + 
      1347*T1^6 - 4220*T2 + 9722*T1*T2 - 11148*T1^2*T2 + 7078*T1^3*T2 - 
      788*T1^4*T2 - 5334*T1^5*T2 + 6872*T1^6*T2 - 3536*T1^7*T2 + 7068*T2^2 - 
      11148*T1*T2^2 + 6938*T1^2*T2^2 + 1270*T1^3*T2^2 - 6248*T1^4*T2^2 + 
      8182*T1^5*T2^2 - 3046*T1^6*T2^2 - 3852*T1^7*T2^2 + 4764*T1^8*T2^2 - 
      8153*T2^3 + 7078*T1*T2^3 + 1270*T1^2*T2^3 - 7136*T1^3*T2^3 + 
      5369*T1^4*T2^3 - 2617*T1^5*T2^3 - 4766*T1^6*T2^3 + 7382*T1^7*T2^3 - 
      1928*T1^8*T2^3 - 4157*T1^9*T2^3 + 7068*T2^4 - 788*T1*T2^4 - 
      6248*T1^2*T2^4 + 5369*T1^3*T2^4 + 1433*T1^4*T2^4 - 3371*T1^5*T2^4 + 
      6773*T1^6*T2^4 - 2771*T1^7*T2^4 - 4110*T1^8*T2^4 + 5368*T1^9*T2^4 + 
      2460*T1^10*T2^4 - 4220*T2^5 - 5334*T1*T2^5 + 8182*T1^2*T2^5 - 
      2617*T1^3*T2^5 - 3371*T1^4*T2^5 + 1342*T1^5*T2^5 - 1580*T1^6*T2^5 - 
      3179*T1^7*T2^5 + 5061*T1^8*T2^5 - 1130*T1^9*T2^5 - 5220*T1^10*T2^5 - 
      800*T1^11*T2^5 + 1347*T2^6 + 6872*T1*T2^6 - 3046*T1^2*T2^6 - 
      4766*T1^3*T2^6 + 6773*T1^4*T2^6 - 1580*T1^5*T2^6 + 984*T1^6*T2^6 + 
      1844*T1^7*T2^6 + 41*T1^8*T2^6 - 4070*T1^9*T2^6 + 5190*T1^10*T2^6 + 
      2312*T1^11*T2^6 + 51*T1^12*T2^6 - 3536*T1*T2^7 - 3852*T1^2*T2^7 + 
      7382*T1^3*T2^7 - 2771*T1^4*T2^7 - 3179*T1^5*T2^7 + 1844*T1^6*T2^7 - 
      1078*T1^7*T2^7 - 2987*T1^8*T2^7 + 4907*T1^9*T2^7 - 1930*T1^10*T2^7 - 
      3738*T1^11*T2^7 - 116*T1^12*T2^7 + 4764*T1^2*T2^8 - 1928*T1^3*T2^8 - 
      4110*T1^4*T2^8 + 5061*T1^5*T2^8 + 41*T1^6*T2^8 - 2987*T1^7*T2^8 + 
      5381*T1^8*T2^8 - 3079*T1^9*T2^8 - 1972*T1^10*T2^8 + 4228*T1^11*T2^8 + 
      156*T1^12*T2^8 - 4157*T1^3*T2^9 + 5368*T1^4*T2^9 - 1130*T1^5*T2^9 - 
      4070*T1^6*T2^9 + 4907*T1^7*T2^9 - 3079*T1^8*T2^9 - 1700*T1^9*T2^9 + 
      4982*T1^10*T2^9 - 3638*T1^11*T2^9 - 161*T1^12*T2^9 + 2460*T1^4*T2^10 - 
      5220*T1^5*T2^10 + 5190*T1^6*T2^10 - 1930*T1^7*T2^10 - 1972*T1^8*T2^10 + 
      4982*T1^9*T2^10 - 4794*T1^10*T2^10 + 2076*T1^11*T2^10 + 
      156*T1^12*T2^10 - 800*T1^5*T2^11 + 2312*T1^6*T2^11 - 3738*T1^7*T2^11 + 
      4228*T1^8*T2^11 - 3638*T1^9*T2^11 + 2076*T1^10*T2^11 - 
      538*T1^11*T2^11 - 116*T1^12*T2^11 + 51*T1^6*T2^12 - 116*T1^7*T2^12 + 
      156*T1^8*T2^12 - 161*T1^9*T2^12 + 156*T1^10*T2^12 - 116*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 145] -> 
  {(6 - 21*T + 39*T^2 - 47*T^3 + 39*T^4 - 21*T^5 + 6*T^6)/T^3, 
   -((1347 - 4668*T1 + 8632*T1^2 - 10385*T1^3 + 8632*T1^4 - 4668*T1^5 + 
      1347*T1^6 - 4668*T2 + 12304*T1*T2 - 16448*T1^2*T2 + 11024*T1^3*T2 + 
      188*T1^4*T2 - 8888*T1^5*T2 + 8902*T1^6*T2 - 3912*T1^7*T2 + 8632*T2^2 - 
      16448*T1*T2^2 + 13933*T1^2*T2^2 + 1105*T1^3*T2^2 - 13377*T1^4*T2^2 + 
      13273*T1^5*T2^2 - 1511*T1^6*T2^2 - 6620*T1^7*T2^2 + 5824*T1^8*T2^2 - 
      10385*T2^3 + 11024*T1*T2^3 + 1105*T1^2*T2^3 - 17987*T1^3*T2^3 + 
      17250*T1^4*T2^3 - 2424*T1^5*T2^3 - 13685*T1^6*T2^3 + 11986*T1^7*T2^3 - 
      1828*T1^8*T2^3 - 5309*T1^9*T2^3 + 8632*T2^4 + 188*T1*T2^4 - 
      13377*T1^2*T2^4 + 17250*T1^3*T2^4 + 2212*T1^4*T2^4 - 20206*T1^5*T2^4 + 
      22648*T1^6*T2^4 - 3900*T1^7*T2^4 - 8427*T1^8*T2^4 + 8000*T1^9*T2^4 + 
      3016*T1^10*T2^4 - 4668*T2^5 - 8888*T1*T2^5 + 13273*T1^2*T2^5 - 
      2424*T1^3*T2^5 - 20206*T1^4*T2^5 + 21718*T1^5*T2^5 - 5510*T1^6*T2^5 - 
      15877*T1^7*T2^5 + 14298*T1^8*T2^5 - 2756*T1^9*T2^5 - 7376*T1^10*T2^5 - 
      888*T1^11*T2^5 + 1347*T2^6 + 8902*T1*T2^6 - 1511*T1^2*T2^6 - 
      13685*T1^3*T2^6 + 22648*T1^4*T2^6 - 5510*T1^5*T2^6 - 13860*T1^6*T2^6 + 
      19906*T1^7*T2^6 - 3254*T1^8*T2^6 - 8447*T1^9*T2^6 + 8857*T1^10*T2^6 + 
      2854*T1^11*T2^6 + 51*T1^12*T2^6 - 3912*T1*T2^7 - 6620*T1^2*T2^7 + 
      11986*T1^3*T2^7 - 3900*T1^4*T2^7 - 15877*T1^5*T2^7 + 19906*T1^6*T2^7 - 
      7322*T1^7*T2^7 - 11548*T1^8*T2^7 + 12822*T1^9*T2^7 - 4043*T1^10*T2^7 - 
      5108*T1^11*T2^7 - 132*T1^12*T2^7 + 5824*T1^2*T2^8 - 1828*T1^3*T2^8 - 
      8427*T1^4*T2^8 + 14298*T1^5*T2^8 - 3254*T1^6*T2^8 - 11548*T1^7*T2^8 + 
      17182*T1^8*T2^8 - 6852*T1^9*T2^8 - 3477*T1^10*T2^8 + 5984*T1^11*T2^8 + 
      208*T1^12*T2^8 - 5309*T1^3*T2^9 + 8000*T1^4*T2^9 - 2756*T1^5*T2^9 - 
      8447*T1^6*T2^9 + 12822*T1^7*T2^9 - 6852*T1^8*T2^9 - 4145*T1^9*T2^9 + 
      8125*T1^10*T2^9 - 4852*T1^11*T2^9 - 233*T1^12*T2^9 + 3016*T1^4*T2^10 - 
      7376*T1^5*T2^10 + 8857*T1^6*T2^10 - 4043*T1^7*T2^10 - 3477*T1^8*T2^10 + 
      8125*T1^9*T2^10 - 6587*T1^10*T2^10 + 2452*T1^11*T2^10 + 
      208*T1^12*T2^10 - 888*T1^5*T2^11 + 2854*T1^6*T2^11 - 5108*T1^7*T2^11 + 
      5984*T1^8*T2^11 - 4852*T1^9*T2^11 + 2452*T1^10*T2^11 - 
      548*T1^11*T2^11 - 132*T1^12*T2^11 + 51*T1^6*T2^12 - 132*T1^7*T2^12 + 
      208*T1^8*T2^12 - 233*T1^9*T2^12 + 208*T1^10*T2^12 - 132*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 146] -> 
  {(1 - 3*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 7*T^6 - 7*T^7 + 6*T^8 - 3*T^9 + 
     T^10)/T^5, (-2 + 6*T1 - 12*T1^2 + 14*T1^3 - 14*T1^4 + 14*T1^5 - 
     14*T1^6 + 14*T1^7 - 12*T1^8 + 6*T1^9 - 2*T1^10 + 6*T2 - 15*T1*T2 + 
     27*T1^2*T2 - 24*T1^3*T2 + 21*T1^4*T2 - 21*T1^5*T2 + 21*T1^6*T2 - 
     21*T1^7*T2 + 15*T1^8*T2 - 3*T1^10*T2 + 3*T1^11*T2 - 12*T2^2 + 
     27*T1*T2^2 - 46*T1^2*T2^2 + 34*T1^3*T2^2 - 29*T1^4*T2^2 + 30*T1^5*T2^2 - 
     30*T1^6*T2^2 + 30*T1^7*T2^2 - 17*T1^8*T2^2 - 14*T1^9*T2^2 + 
     14*T1^10*T2^2 - 9*T1^11*T2^2 + 14*T2^3 - 24*T1*T2^3 + 34*T1^2*T2^3 - 
     5*T1^3*T2^3 + 4*T1^4*T2^3 - 17*T1^5*T2^3 + 21*T1^6*T2^3 - 21*T1^7*T2^3 + 
     4*T1^8*T2^3 + 28*T1^9*T2^3 + T1^10*T2^3 - 20*T1^11*T2^3 + 
     21*T1^12*T2^3 - 7*T1^13*T2^3 - 14*T2^4 + 21*T1*T2^4 - 29*T1^2*T2^4 + 
     4*T1^3*T2^4 - 21*T1^4*T2^4 + 49*T1^5*T2^4 - 42*T1^6*T2^4 + 
     35*T1^7*T2^4 - 14*T1^8*T2^4 - 21*T1^9*T2^4 - 21*T1^10*T2^4 + 
     18*T1^11*T2^4 + 13*T1^12*T2^4 - 21*T1^13*T2^4 + 14*T1^14*T2^4 + 
     14*T2^5 - 21*T1*T2^5 + 30*T1^2*T2^5 - 17*T1^3*T2^5 + 49*T1^4*T2^5 - 
     94*T1^5*T2^5 + 77*T1^6*T2^5 - 87*T1^7*T2^5 + 74*T1^8*T2^5 - 
     42*T1^9*T2^5 + 102*T1^10*T2^5 - 70*T1^11*T2^5 + 18*T1^12*T2^5 - 
     33*T1^13*T2^5 + 21*T1^14*T2^5 - 21*T1^15*T2^5 - 14*T2^6 + 21*T1*T2^6 - 
     30*T1^2*T2^6 + 21*T1^3*T2^6 - 42*T1^4*T2^6 + 77*T1^5*T2^6 - 
     34*T1^6*T2^6 + 63*T1^7*T2^6 - 28*T1^8*T2^6 - 21*T1^9*T2^6 - 
     34*T1^10*T2^6 - 49*T1^11*T2^6 + 84*T1^12*T2^6 - 21*T1^13*T2^6 + 
     54*T1^14*T2^6 - 21*T1^15*T2^6 + 28*T1^16*T2^6 + 14*T2^7 - 21*T1*T2^7 + 
     30*T1^2*T2^7 - 21*T1^3*T2^7 + 35*T1^4*T2^7 - 87*T1^5*T2^7 + 
     63*T1^6*T2^7 - 143*T1^7*T2^7 + 88*T1^8*T2^7 - 66*T1^9*T2^7 + 
     151*T1^10*T2^7 - 63*T1^11*T2^7 + 88*T1^12*T2^7 - 133*T1^13*T2^7 + 
     21*T1^14*T2^7 - 75*T1^15*T2^7 + 21*T1^16*T2^7 - 35*T1^17*T2^7 - 
     12*T2^8 + 15*T1*T2^8 - 17*T1^2*T2^8 + 4*T1^3*T2^8 - 14*T1^4*T2^8 + 
     74*T1^5*T2^8 - 28*T1^6*T2^8 + 88*T1^7*T2^8 + 27*T1^8*T2^8 - 
     5*T1^9*T2^8 - 69*T1^10*T2^8 - 66*T1^11*T2^8 + 42*T1^12*T2^8 - 
     66*T1^13*T2^8 + 154*T1^14*T2^8 + 18*T1^15*T2^8 + 61*T1^16*T2^8 - 
     3*T1^17*T2^8 + 36*T1^18*T2^8 + 6*T2^9 - 14*T1^2*T2^9 + 28*T1^3*T2^9 - 
     21*T1^4*T2^9 - 42*T1^5*T2^9 - 21*T1^6*T2^9 - 66*T1^7*T2^9 - 
     5*T1^8*T2^9 - 145*T1^9*T2^9 + 187*T1^10*T2^9 - 34*T1^11*T2^9 + 
     88*T1^12*T2^9 - 63*T1^13*T2^9 + 49*T1^14*T2^9 - 196*T1^15*T2^9 - 
     56*T1^16*T2^9 - 8*T1^17*T2^9 - 45*T1^18*T2^9 - 21*T1^19*T2^9 - 2*T2^10 - 
     3*T1*T2^10 + 14*T1^2*T2^10 + T1^3*T2^10 - 21*T1^4*T2^10 + 
     102*T1^5*T2^10 - 34*T1^6*T2^10 + 151*T1^7*T2^10 - 69*T1^8*T2^10 + 
     187*T1^9*T2^10 - 36*T1^10*T2^10 - 151*T1^11*T2^10 + 97*T1^12*T2^10 - 
     143*T1^13*T2^10 + 162*T1^14*T2^10 - 94*T1^15*T2^10 + 351*T1^16*T2^10 - 
     89*T1^17*T2^10 + 74*T1^18*T2^10 + 39*T1^19*T2^10 + 8*T1^20*T2^10 + 
     3*T1*T2^11 - 9*T1^2*T2^11 - 20*T1^3*T2^11 + 18*T1^4*T2^11 - 
     70*T1^5*T2^11 - 49*T1^6*T2^11 - 63*T1^7*T2^11 - 66*T1^8*T2^11 - 
     34*T1^9*T2^11 - 151*T1^10*T2^11 + 181*T1^11*T2^11 - 63*T1^12*T2^11 + 
     88*T1^13*T2^11 - 105*T1^14*T2^11 + 42*T1^15*T2^11 - 245*T1^16*T2^11 - 
     66*T1^17*T2^11 - 14*T1^18*T2^11 - 54*T1^19*T2^11 - 24*T1^20*T2^11 + 
     21*T1^3*T2^12 + 13*T1^4*T2^12 + 18*T1^5*T2^12 + 84*T1^6*T2^12 + 
     88*T1^7*T2^12 + 42*T1^8*T2^12 + 88*T1^9*T2^12 + 97*T1^10*T2^12 - 
     63*T1^11*T2^12 + T1^12*T2^12 - 66*T1^13*T2^12 + 112*T1^14*T2^12 - 
     52*T1^15*T2^12 + 252*T1^16*T2^12 + 32*T1^17*T2^12 + 91*T1^18*T2^12 + 
     3*T1^19*T2^12 + 48*T1^20*T2^12 - 7*T1^3*T2^13 - 21*T1^4*T2^13 - 
     33*T1^5*T2^13 - 21*T1^6*T2^13 - 133*T1^7*T2^13 - 66*T1^8*T2^13 - 
     63*T1^9*T2^13 - 143*T1^10*T2^13 + 88*T1^11*T2^13 - 66*T1^12*T2^13 + 
     151*T1^13*T2^13 - 189*T1^14*T2^13 + 109*T1^15*T2^13 - 301*T1^16*T2^13 + 
     21*T1^17*T2^13 - 138*T1^18*T2^13 + 21*T1^19*T2^13 - 56*T1^20*T2^13 + 
     14*T1^4*T2^14 + 21*T1^5*T2^14 + 54*T1^6*T2^14 + 21*T1^7*T2^14 + 
     154*T1^8*T2^14 + 49*T1^9*T2^14 + 162*T1^10*T2^14 - 105*T1^11*T2^14 + 
     112*T1^12*T2^14 - 189*T1^13*T2^14 + 162*T1^14*T2^14 - 77*T1^15*T2^14 + 
     280*T1^16*T2^14 - 21*T1^17*T2^14 + 138*T1^18*T2^14 - 21*T1^19*T2^14 + 
     56*T1^20*T2^14 - 21*T1^5*T2^15 - 21*T1^6*T2^15 - 75*T1^7*T2^15 + 
     18*T1^8*T2^15 - 196*T1^9*T2^15 - 94*T1^10*T2^15 + 42*T1^11*T2^15 - 
     52*T1^12*T2^15 + 109*T1^13*T2^15 - 77*T1^14*T2^15 + 102*T1^15*T2^15 - 
     315*T1^16*T2^15 + 53*T1^17*T2^15 - 138*T1^18*T2^15 + 21*T1^19*T2^15 - 
     56*T1^20*T2^15 + 28*T1^6*T2^16 + 21*T1^7*T2^16 + 61*T1^8*T2^16 - 
     56*T1^9*T2^16 + 351*T1^10*T2^16 - 245*T1^11*T2^16 + 252*T1^12*T2^16 - 
     301*T1^13*T2^16 + 280*T1^14*T2^16 - 315*T1^15*T2^16 + 351*T1^16*T2^16 - 
     42*T1^17*T2^16 + 103*T1^18*T2^16 - 21*T1^19*T2^16 + 56*T1^20*T2^16 - 
     35*T1^7*T2^17 - 3*T1^8*T2^17 - 8*T1^9*T2^17 - 89*T1^10*T2^17 - 
     66*T1^11*T2^17 + 32*T1^12*T2^17 + 21*T1^13*T2^17 - 21*T1^14*T2^17 + 
     53*T1^15*T2^17 - 42*T1^16*T2^17 - 83*T1^17*T2^17 - 62*T1^18*T2^17 + 
     42*T1^19*T2^17 - 56*T1^20*T2^17 + 36*T1^8*T2^18 - 45*T1^9*T2^18 + 
     74*T1^10*T2^18 - 14*T1^11*T2^18 + 91*T1^12*T2^18 - 138*T1^13*T2^18 + 
     138*T1^14*T2^18 - 138*T1^15*T2^18 + 103*T1^16*T2^18 - 62*T1^17*T2^18 + 
     134*T1^18*T2^18 - 81*T1^19*T2^18 + 48*T1^20*T2^18 - 21*T1^9*T2^19 + 
     39*T1^10*T2^19 - 54*T1^11*T2^19 + 3*T1^12*T2^19 + 21*T1^13*T2^19 - 
     21*T1^14*T2^19 + 21*T1^15*T2^19 - 21*T1^16*T2^19 + 42*T1^17*T2^19 - 
     81*T1^18*T2^19 + 51*T1^19*T2^19 - 24*T1^20*T2^19 + 8*T1^10*T2^20 - 
     24*T1^11*T2^20 + 48*T1^12*T2^20 - 56*T1^13*T2^20 + 56*T1^14*T2^20 - 
     56*T1^15*T2^20 + 56*T1^16*T2^20 - 56*T1^17*T2^20 + 48*T1^18*T2^20 - 
     24*T1^19*T2^20 + 8*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 147] -> 
  {(2 - 7*T + 15*T^2 - 20*T^3 + 21*T^4 - 20*T^5 + 15*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-15 + 53*T1 - 114*T1^2 + 153*T1^3 - 161*T1^4 + 153*T1^5 - 
     114*T1^6 + 53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 313*T1^2*T2 - 
     347*T1^3*T2 + 308*T1^4*T2 - 266*T1^5*T2 + 143*T1^6*T2 + 5*T1^7*T2 - 
     36*T1^8*T2 + 25*T1^9*T2 - 114*T2^2 + 313*T1*T2^2 - 550*T1^2*T2^2 + 
     495*T1^3*T2^2 - 345*T1^4*T2^2 + 250*T1^5*T2^2 + 15*T1^6*T2^2 - 
     285*T1^7*T2^2 + 230*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 
     153*T2^3 - 347*T1*T2^3 + 495*T1^2*T2^3 - 211*T1^3*T2^3 - 8*T1^4*T2^3 - 
     54*T1^5*T2^3 - 159*T1^6*T2^3 + 307*T1^7*T2^3 + 119*T1^8*T2^3 - 
     360*T1^9*T2^3 + 283*T1^10*T2^3 - 87*T1^11*T2^3 - 161*T2^4 + 
     308*T1*T2^4 - 345*T1^2*T2^4 - 8*T1^3*T2^4 + 63*T1^4*T2^4 + 
     319*T1^5*T2^4 - 17*T1^6*T2^4 - 185*T1^7*T2^4 - 385*T1^8*T2^4 + 
     272*T1^9*T2^4 + 215*T1^10*T2^4 - 308*T1^11*T2^4 + 175*T1^12*T2^4 + 
     153*T2^5 - 266*T1*T2^5 + 250*T1^2*T2^5 - 54*T1^3*T2^5 + 319*T1^4*T2^5 - 
     1085*T1^5*T2^5 + 628*T1^6*T2^5 - 637*T1^7*T2^5 + 1467*T1^8*T2^5 - 
     779*T1^9*T2^5 + 31*T1^10*T2^5 - 263*T1^11*T2^5 + 252*T1^12*T2^5 - 
     247*T1^13*T2^5 - 114*T2^6 + 143*T1*T2^6 + 15*T1^2*T2^6 - 159*T1^3*T2^6 - 
     17*T1^4*T2^6 + 628*T1^5*T2^6 + 271*T1^6*T2^6 + 145*T1^7*T2^6 - 
     889*T1^8*T2^6 - 522*T1^9*T2^6 + 753*T1^10*T2^6 + 231*T1^11*T2^6 + 
     55*T1^12*T2^6 + 3*T1^13*T2^6 + 246*T1^14*T2^6 + 53*T2^7 + 5*T1*T2^7 - 
     285*T1^2*T2^7 + 307*T1^3*T2^7 - 185*T1^4*T2^7 - 637*T1^5*T2^7 + 
     145*T1^6*T2^7 - 1607*T1^7*T2^7 + 2005*T1^8*T2^7 - 275*T1^9*T2^7 + 
     858*T1^10*T2^7 - 1463*T1^11*T2^7 - 148*T1^12*T2^7 + 120*T1^13*T2^7 - 
     359*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 230*T1^2*T2^8 + 
     119*T1^3*T2^8 - 385*T1^4*T2^8 + 1467*T1^5*T2^8 - 889*T1^6*T2^8 + 
     2005*T1^7*T2^8 - 792*T1^8*T2^8 - 1297*T1^9*T2^8 + 411*T1^10*T2^8 - 
     599*T1^11*T2^8 + 2307*T1^12*T2^8 - 811*T1^13*T2^8 + 452*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     360*T1^3*T2^9 + 272*T1^4*T2^9 - 779*T1^5*T2^9 - 522*T1^6*T2^9 - 
     275*T1^7*T2^9 - 1297*T1^8*T2^9 + 2315*T1^9*T2^9 - 695*T1^10*T2^9 + 
     973*T1^11*T2^9 - 2057*T1^12*T2^9 - 183*T1^13*T2^9 + 45*T1^14*T2^9 - 
     471*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 283*T1^3*T2^10 + 
     215*T1^4*T2^10 + 31*T1^5*T2^10 + 753*T1^6*T2^10 + 858*T1^7*T2^10 + 
     411*T1^8*T2^10 - 695*T1^9*T2^10 - 749*T1^10*T2^10 - 292*T1^11*T2^10 + 
     1523*T1^12*T2^10 + 421*T1^13*T2^10 + 255*T1^14*T2^10 + 143*T1^15*T2^10 + 
     366*T1^16*T2^10 - 87*T1^3*T2^11 - 308*T1^4*T2^11 - 263*T1^5*T2^11 + 
     231*T1^6*T2^11 - 1463*T1^7*T2^11 - 599*T1^8*T2^11 + 973*T1^9*T2^11 - 
     292*T1^10*T2^11 + 1953*T1^11*T2^11 - 2561*T1^12*T2^11 + 
     316*T1^13*T2^11 - 776*T1^14*T2^11 + 210*T1^15*T2^11 - 487*T1^16*T2^11 + 
     175*T1^4*T2^12 + 252*T1^5*T2^12 + 55*T1^6*T2^12 - 148*T1^7*T2^12 + 
     2307*T1^8*T2^12 - 2057*T1^9*T2^12 + 1523*T1^10*T2^12 - 
     2561*T1^11*T2^12 + 1859*T1^12*T2^12 + 132*T1^13*T2^12 + 
     615*T1^14*T2^12 - 364*T1^15*T2^12 + 511*T1^16*T2^12 - 247*T1^5*T2^13 + 
     3*T1^6*T2^13 + 120*T1^7*T2^13 - 811*T1^8*T2^13 - 183*T1^9*T2^13 + 
     421*T1^10*T2^13 + 316*T1^11*T2^13 + 132*T1^12*T2^13 - 481*T1^13*T2^13 - 
     735*T1^14*T2^13 + 633*T1^15*T2^13 - 487*T1^16*T2^13 + 246*T1^6*T2^14 - 
     359*T1^7*T2^14 + 452*T1^8*T2^14 + 45*T1^9*T2^14 + 255*T1^10*T2^14 - 
     776*T1^11*T2^14 + 615*T1^12*T2^14 - 735*T1^13*T2^14 + 1232*T1^14*T2^14 - 
     779*T1^15*T2^14 + 366*T1^16*T2^14 - 143*T1^7*T2^15 + 328*T1^8*T2^15 - 
     471*T1^9*T2^15 + 143*T1^10*T2^15 + 210*T1^11*T2^15 - 364*T1^12*T2^15 + 
     633*T1^13*T2^15 - 779*T1^14*T2^15 + 454*T1^15*T2^15 - 171*T1^16*T2^15 + 
     49*T1^8*T2^16 - 171*T1^9*T2^16 + 366*T1^10*T2^16 - 487*T1^11*T2^16 + 
     511*T1^12*T2^16 - 487*T1^13*T2^16 + 366*T1^14*T2^16 - 171*T1^15*T2^16 + 
     49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 148] -> 
  {(2 - 8*T + 20*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 20*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 154*T1^2 + 249*T1^3 - 289*T1^4 + 249*T1^5 - 
     154*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 503*T1^2*T2 - 
     701*T1^3*T2 + 672*T1^4*T2 - 432*T1^5*T2 + 131*T1^6*T2 + 55*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 154*T2^2 + 503*T1*T2^2 - 1088*T1^2*T2^2 + 
     1335*T1^3*T2^2 - 1027*T1^4*T2^2 + 332*T1^5*T2^2 + 333*T1^6*T2^2 - 
     585*T1^7*T2^2 + 352*T1^8*T2^2 - 137*T1^9*T2^2 + 6*T1^10*T2^2 + 
     249*T2^3 - 701*T1*T2^3 + 1335*T1^2*T2^3 - 1202*T1^3*T2^3 + 
     363*T1^4*T2^3 + 440*T1^5*T2^3 - 616*T1^6*T2^3 + 43*T1^7*T2^3 + 
     846*T1^8*T2^3 - 905*T1^9*T2^3 + 515*T1^10*T2^3 - 135*T1^11*T2^3 - 
     289*T2^4 + 672*T1*T2^4 - 1027*T1^2*T2^4 + 363*T1^3*T2^4 + 
     702*T1^4*T2^4 - 769*T1^5*T2^4 + 64*T1^6*T2^4 + 831*T1^7*T2^4 - 
     1226*T1^8*T2^4 + 107*T1^9*T2^4 + 797*T1^10*T2^4 - 672*T1^11*T2^4 + 
     303*T1^12*T2^4 + 249*T2^5 - 432*T1*T2^5 + 332*T1^2*T2^5 + 
     440*T1^3*T2^5 - 769*T1^4*T2^5 - 1264*T1^5*T2^5 + 3118*T1^6*T2^5 - 
     3826*T1^7*T2^5 + 2936*T1^8*T2^5 - 337*T1^9*T2^5 - 680*T1^10*T2^5 - 
     244*T1^11*T2^5 + 352*T1^12*T2^5 - 391*T1^13*T2^5 - 154*T2^6 + 
     131*T1*T2^6 + 333*T1^2*T2^6 - 616*T1^3*T2^6 + 64*T1^4*T2^6 + 
     3118*T1^5*T2^6 - 3144*T1^6*T2^6 + 1188*T1^7*T2^6 + 1760*T1^8*T2^6 - 
     4242*T1^9*T2^6 + 2816*T1^10*T2^6 + 344*T1^11*T2^6 - 99*T1^12*T2^6 + 
     259*T1^13*T2^6 + 326*T1^14*T2^6 + 61*T2^7 + 55*T1*T2^7 - 585*T1^2*T2^7 + 
     43*T1^3*T2^7 + 831*T1^4*T2^7 - 3826*T1^5*T2^7 + 1188*T1^6*T2^7 + 
     1012*T1^7*T2^7 - 2124*T1^8*T2^7 + 1316*T1^9*T2^7 + 2286*T1^10*T2^7 - 
     4273*T1^11*T2^7 + 619*T1^12*T2^7 - 265*T1^13*T2^7 - 649*T1^14*T2^7 - 
     163*T1^15*T2^7 - 15*T2^8 - 58*T1*T2^8 + 352*T1^2*T2^8 + 846*T1^3*T2^8 - 
     1226*T1^4*T2^8 + 2936*T1^5*T2^8 + 1760*T1^6*T2^8 - 2124*T1^7*T2^8 + 
     1092*T1^8*T2^8 + 948*T1^9*T2^8 - 3040*T1^10*T2^8 + 1784*T1^11*T2^8 + 
     3286*T1^12*T2^8 - 1202*T1^13*T2^8 + 1120*T1^14*T2^8 + 454*T1^15*T2^8 + 
     49*T1^16*T2^8 + 29*T1*T2^9 - 137*T1^2*T2^9 - 905*T1^3*T2^9 + 
     107*T1^4*T2^9 - 337*T1^5*T2^9 - 4242*T1^6*T2^9 + 1316*T1^7*T2^9 + 
     948*T1^8*T2^9 - 2188*T1^9*T2^9 + 1444*T1^10*T2^9 + 1870*T1^11*T2^9 - 
     5441*T1^12*T2^9 + 683*T1^13*T2^9 - 585*T1^14*T2^9 - 841*T1^15*T2^9 - 
     195*T1^16*T2^9 + 6*T1^2*T2^10 + 515*T1^3*T2^10 + 797*T1^4*T2^10 - 
     680*T1^5*T2^10 + 2816*T1^6*T2^10 + 2286*T1^7*T2^10 - 3040*T1^8*T2^10 + 
     1444*T1^9*T2^10 + 1864*T1^10*T2^10 - 5074*T1^11*T2^10 + 
     5568*T1^12*T2^10 + 280*T1^13*T2^10 + 365*T1^14*T2^10 + 643*T1^15*T2^10 + 
     486*T1^16*T2^10 - 135*T1^3*T2^11 - 672*T1^4*T2^11 - 244*T1^5*T2^11 + 
     344*T1^6*T2^11 - 4273*T1^7*T2^11 + 1784*T1^8*T2^11 + 1870*T1^9*T2^11 - 
     5074*T1^10*T2^11 + 5984*T1^11*T2^11 - 3841*T1^12*T2^11 - 
     776*T1^13*T2^11 - 820*T1^14*T2^11 + 112*T1^15*T2^11 - 775*T1^16*T2^11 + 
     303*T1^4*T2^12 + 352*T1^5*T2^12 - 99*T1^6*T2^12 + 619*T1^7*T2^12 + 
     3286*T1^8*T2^12 - 5441*T1^9*T2^12 + 5568*T1^10*T2^12 - 
     3841*T1^11*T2^12 + 1358*T1^12*T2^12 + 363*T1^13*T2^12 + 
     1725*T1^14*T2^12 - 992*T1^15*T2^12 + 895*T1^16*T2^12 - 391*T1^5*T2^13 + 
     259*T1^6*T2^13 - 265*T1^7*T2^13 - 1202*T1^8*T2^13 + 683*T1^9*T2^13 + 
     280*T1^10*T2^13 - 776*T1^11*T2^13 + 363*T1^12*T2^13 + 846*T1^13*T2^13 - 
     2505*T1^14*T2^13 + 1475*T1^15*T2^13 - 775*T1^16*T2^13 + 326*T1^6*T2^14 - 
     649*T1^7*T2^14 + 1120*T1^8*T2^14 - 585*T1^9*T2^14 + 365*T1^10*T2^14 - 
     820*T1^11*T2^14 + 1725*T1^12*T2^14 - 2505*T1^13*T2^14 + 
     2560*T1^14*T2^14 - 1289*T1^15*T2^14 + 486*T1^16*T2^14 - 163*T1^7*T2^15 + 
     454*T1^8*T2^15 - 841*T1^9*T2^15 + 643*T1^10*T2^15 + 112*T1^11*T2^15 - 
     992*T1^12*T2^15 + 1475*T1^13*T2^15 - 1289*T1^14*T2^15 + 
     614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 
     486*T1^10*T2^16 - 775*T1^11*T2^16 + 895*T1^12*T2^16 - 775*T1^13*T2^16 + 
     486*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 149] -> 
  {-((1 - 7*T + 22*T^2 - 43*T^3 + 53*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 215*T1^3 - 265*T1^4 + 215*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      889*T1^3*T2 + 651*T1^4*T2 - 21*T1^5*T2 - 434*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      877*T1^3*T2^2 + 1150*T1^4*T2^2 - 2825*T1^5*T2^2 + 2514*T1^6*T2^2 - 
      707*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      215*T2^3 - 889*T1*T2^3 + 877*T1^2*T2^3 + 1157*T1^3*T2^3 - 
      5519*T1^4*T2^3 + 5425*T1^5*T2^3 - 974*T1^6*T2^3 - 3249*T1^7*T2^3 + 
      2367*T1^8*T2^3 - 729*T1^9*T2^3 - 140*T1^10*T2^3 + 86*T1^11*T2^3 - 
      265*T2^4 + 651*T1*T2^4 + 1150*T1^2*T2^4 - 5519*T1^3*T2^4 + 
      9973*T1^4*T2^4 - 3003*T1^5*T2^4 - 6099*T1^6*T2^4 + 8027*T1^7*T2^4 - 
      675*T1^8*T2^4 - 1993*T1^9*T2^4 + 1600*T1^10*T2^4 - 231*T1^11*T2^4 - 
      53*T1^12*T2^4 + 215*T2^5 - 21*T1*T2^5 - 2825*T1^2*T2^5 + 
      5425*T1^3*T2^5 - 3003*T1^4*T2^5 - 13304*T1^5*T2^5 + 18004*T1^6*T2^5 - 
      6702*T1^7*T2^5 - 9134*T1^8*T2^5 + 7140*T1^9*T2^5 - 2248*T1^10*T2^5 - 
      710*T1^11*T2^5 + 371*T1^12*T2^5 - 110*T2^6 - 434*T1*T2^6 + 
      2514*T1^2*T2^6 - 974*T1^3*T2^6 - 6099*T1^4*T2^6 + 18004*T1^5*T2^6 - 
      2940*T1^6*T2^6 - 20850*T1^7*T2^6 + 28780*T1^8*T2^6 - 9016*T1^9*T2^6 - 
      1903*T1^10*T2^6 + 3514*T1^11*T2^6 - 678*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 707*T1^2*T2^7 - 
      3249*T1^3*T2^7 + 8027*T1^4*T2^7 - 6702*T1^5*T2^7 - 20850*T1^6*T2^7 + 
      35692*T1^7*T2^7 - 20560*T1^8*T2^7 - 10193*T1^9*T2^7 + 
      13376*T1^10*T2^7 - 5664*T1^11*T2^7 - 495*T1^12*T2^7 + 767*T1^13*T2^7 - 
      56*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 
      2367*T1^3*T2^8 - 675*T1^4*T2^8 - 9134*T1^5*T2^8 + 28780*T1^6*T2^8 - 
      20560*T1^7*T2^8 - 10032*T1^8*T2^8 + 30500*T1^9*T2^8 - 
      16142*T1^10*T2^8 + 514*T1^11*T2^8 + 3813*T1^12*T2^8 - 1363*T1^13*T2^8 - 
      135*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 
      266*T1^2*T2^9 - 729*T1^3*T2^9 - 1993*T1^4*T2^9 + 7140*T1^5*T2^9 - 
      9016*T1^6*T2^9 - 10193*T1^7*T2^9 + 30500*T1^8*T2^9 - 25752*T1^9*T2^9 + 
      464*T1^10*T2^9 + 11062*T1^11*T2^9 - 6551*T1^12*T2^9 + 761*T1^13*T2^9 + 
      745*T1^14*T2^9 - 161*T1^15*T2^9 - 21*T1^16*T2^9 - 66*T1^2*T2^10 - 
      140*T1^3*T2^10 + 1600*T1^4*T2^10 - 2248*T1^5*T2^10 - 1903*T1^6*T2^10 + 
      13376*T1^7*T2^10 - 16142*T1^8*T2^10 + 464*T1^9*T2^10 + 
      15578*T1^10*T2^10 - 13644*T1^11*T2^10 + 2293*T1^12*T2^10 + 
      2240*T1^13*T2^10 - 1592*T1^14*T2^10 + 140*T1^15*T2^10 + 
      66*T1^16*T2^10 + 86*T1^3*T2^11 - 231*T1^4*T2^11 - 710*T1^5*T2^11 + 
      3514*T1^6*T2^11 - 5664*T1^7*T2^11 + 514*T1^8*T2^11 + 11062*T1^9*T2^11 - 
      13644*T1^10*T2^11 + 4684*T1^11*T2^11 + 4479*T1^12*T2^11 - 
      4159*T1^13*T2^11 + 1405*T1^14*T2^11 + 161*T1^15*T2^11 - 
      129*T1^16*T2^11 - 53*T1^4*T2^12 + 371*T1^5*T2^12 - 678*T1^6*T2^12 - 
      495*T1^7*T2^12 + 3813*T1^8*T2^12 - 6551*T1^9*T2^12 + 2293*T1^10*T2^12 + 
      4479*T1^11*T2^12 - 6835*T1^12*T2^12 + 3031*T1^13*T2^12 - 
      228*T1^14*T2^12 - 511*T1^15*T2^12 + 159*T1^16*T2^12 - 154*T1^6*T2^13 + 
      767*T1^7*T2^13 - 1363*T1^8*T2^13 + 761*T1^9*T2^13 + 2240*T1^10*T2^13 - 
      4159*T1^11*T2^13 + 3031*T1^12*T2^13 - 153*T1^13*T2^13 - 
      839*T1^14*T2^13 + 595*T1^15*T2^13 - 129*T1^16*T2^13 + 22*T1^6*T2^14 - 
      56*T1^7*T2^14 - 135*T1^8*T2^14 + 745*T1^9*T2^14 - 1592*T1^10*T2^14 + 
      1405*T1^11*T2^14 - 228*T1^12*T2^14 - 839*T1^13*T2^14 + 
      789*T1^14*T2^14 - 364*T1^15*T2^14 + 66*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 161*T1^9*T2^15 + 140*T1^10*T2^15 + 161*T1^11*T2^15 - 
      511*T1^12*T2^15 + 595*T1^13*T2^15 - 364*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 66*T1^10*T2^16 - 
      129*T1^11*T2^16 + 159*T1^12*T2^16 - 129*T1^13*T2^16 + 66*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 150] -> 
  {(4 - 16*T + 36*T^2 - 47*T^3 + 36*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-112 + 456*T1 - 1032*T1^2 + 1352*T1^3 - 1032*T1^4 + 456*T1^5 - 112*T1^6 + 
     456*T2 - 1652*T1*T2 + 3360*T1^2*T2 - 3600*T1^3*T2 + 1712*T1^4*T2 + 
     32*T1^5*T2 - 372*T1^6*T2 + 200*T1^7*T2 - 1032*T2^2 + 3360*T1*T2^2 - 
     5972*T1^2*T2^2 + 4373*T1^3*T2^2 + 1372*T1^4*T2^2 - 4555*T1^5*T2^2 + 
     3244*T1^6*T2^2 - 1248*T1^7*T2^2 + 120*T1^8*T2^2 + 1352*T2^3 - 
     3600*T1*T2^3 + 4373*T1^2*T2^3 + 1582*T1^3*T2^3 - 10049*T1^4*T2^3 + 
     8431*T1^5*T2^3 + 394*T1^6*T2^3 - 4411*T1^7*T2^3 + 3120*T1^8*T2^3 - 
     904*T1^9*T2^3 - 1032*T2^4 + 1712*T1*T2^4 + 1372*T1^2*T2^4 - 
     10049*T1^3*T2^4 + 14950*T1^4*T2^4 - 1768*T1^5*T2^4 - 13242*T1^6*T2^4 + 
     11007*T1^7*T2^4 - 1956*T1^8*T2^4 - 1488*T1^9*T2^4 + 1272*T1^10*T2^4 + 
     456*T2^5 + 32*T1*T2^5 - 4555*T1^2*T2^5 + 8431*T1^3*T2^5 - 
     1768*T1^4*T2^5 - 23540*T1^5*T2^5 + 33440*T1^6*T2^5 - 13144*T1^7*T2^5 - 
     4897*T1^8*T2^5 + 4805*T1^9*T2^5 - 1760*T1^10*T2^5 - 824*T1^11*T2^5 - 
     112*T2^6 - 372*T1*T2^6 + 3244*T1^2*T2^6 + 394*T1^3*T2^6 - 
     13242*T1^4*T2^6 + 33440*T1^5*T2^6 - 20712*T1^6*T2^6 - 15680*T1^7*T2^6 + 
     25030*T1^8*T2^6 - 8726*T1^9*T2^6 + 684*T1^10*T2^6 + 2188*T1^11*T2^6 + 
     272*T1^12*T2^6 + 200*T1*T2^7 - 1248*T1^2*T2^7 - 4411*T1^3*T2^7 + 
     11007*T1^4*T2^7 - 13144*T1^5*T2^7 - 15680*T1^6*T2^7 + 41300*T1^7*T2^7 - 
     24520*T1^8*T2^7 - 2321*T1^9*T2^7 + 4949*T1^10*T2^7 - 3040*T1^11*T2^7 - 
     1080*T1^12*T2^7 + 120*T1^2*T2^8 + 3120*T1^3*T2^8 - 1956*T1^4*T2^8 - 
     4897*T1^5*T2^8 + 25030*T1^6*T2^8 - 24520*T1^7*T2^8 - 3162*T1^8*T2^8 + 
     16159*T1^9*T2^8 - 5284*T1^10*T2^8 - 80*T1^11*T2^8 + 2424*T1^12*T2^8 - 
     904*T1^3*T2^9 - 1488*T1^4*T2^9 + 4805*T1^5*T2^9 - 8726*T1^6*T2^9 - 
     2321*T1^7*T2^9 + 16159*T1^8*T2^9 - 9914*T1^9*T2^9 - 3979*T1^10*T2^9 + 
     5232*T1^11*T2^9 - 3160*T1^12*T2^9 + 1272*T1^4*T2^10 - 1760*T1^5*T2^10 + 
     684*T1^6*T2^10 + 4949*T1^7*T2^10 - 5284*T1^8*T2^10 - 3979*T1^9*T2^10 + 
     9900*T1^10*T2^10 - 6368*T1^11*T2^10 + 2424*T1^12*T2^10 - 
     824*T1^5*T2^11 + 2188*T1^6*T2^11 - 3040*T1^7*T2^11 - 80*T1^8*T2^11 + 
     5232*T1^9*T2^11 - 6368*T1^10*T2^11 + 3468*T1^11*T2^11 - 
     1080*T1^12*T2^11 + 272*T1^6*T2^12 - 1080*T1^7*T2^12 + 2424*T1^8*T2^12 - 
     3160*T1^9*T2^12 + 2424*T1^10*T2^12 - 1080*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 151] -> 
  {((2 - 3*T + 2*T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (-33 + 215*T1 - 580*T1^2 + 779*T1^3 - 580*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2717*T1^2*T2 - 2207*T1^3*T2 - 75*T1^4*T2 + 
     1469*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 580*T2^2 + 2717*T1*T2^2 - 
     3565*T1^2*T2^2 - 3078*T1^3*T2^2 + 9675*T1^4*T2^2 - 7838*T1^5*T2^2 + 
     1055*T1^6*T2^2 + 897*T1^7*T2^2 - 300*T1^8*T2^2 + 779*T2^3 - 
     2207*T1*T2^3 - 3078*T1^2*T2^3 + 19625*T1^3*T2^3 - 21034*T1^4*T2^3 + 
     2740*T1^5*T2^3 + 11603*T1^6*T2^3 - 6123*T1^7*T2^3 + 549*T1^8*T2^3 + 
     215*T1^9*T2^3 - 580*T2^4 - 75*T1*T2^4 + 9675*T1^2*T2^4 - 
     21034*T1^3*T2^4 - 3454*T1^4*T2^4 + 36898*T1^5*T2^4 - 35762*T1^6*T2^4 + 
     6132*T1^7*T2^4 + 3589*T1^8*T2^4 - 1271*T1^9*T2^4 - 20*T1^10*T2^4 + 
     215*T2^5 + 1469*T1*T2^5 - 7838*T1^2*T2^5 + 2740*T1^3*T2^5 + 
     36898*T1^4*T2^5 - 52890*T1^5*T2^5 + 18430*T1^6*T2^5 + 20273*T1^7*T2^5 - 
     14250*T1^8*T2^5 + 2067*T1^9*T2^5 + 429*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 1055*T1^2*T2^6 + 11603*T1^3*T2^6 - 
     35762*T1^4*T2^6 + 18430*T1^5*T2^6 + 27492*T1^6*T2^6 - 42874*T1^7*T2^6 + 
     14156*T1^8*T2^6 + 2285*T1^9*T2^6 - 1993*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 897*T1^2*T2^7 - 6123*T1^3*T2^7 + 
     6132*T1^4*T2^7 + 20273*T1^5*T2^7 - 42874*T1^6*T2^7 + 28446*T1^7*T2^7 + 
     3648*T1^8*T2^7 - 10858*T1^9*T2^7 + 3782*T1^10*T2^7 - 143*T1^11*T2^7 - 
     97*T1^12*T2^7 - 300*T1^2*T2^8 + 549*T1^3*T2^8 + 3589*T1^4*T2^8 - 
     14250*T1^5*T2^8 + 14156*T1^6*T2^8 + 3648*T1^7*T2^8 - 18152*T1^8*T2^8 + 
     12916*T1^9*T2^8 - 2497*T1^10*T2^8 - 647*T1^11*T2^8 + 260*T1^12*T2^8 + 
     215*T1^3*T2^9 - 1271*T1^4*T2^9 + 2067*T1^5*T2^9 + 2285*T1^6*T2^9 - 
     10858*T1^7*T2^9 + 12916*T1^8*T2^9 - 5737*T1^9*T2^9 - 978*T1^10*T2^9 + 
     1485*T1^11*T2^9 - 349*T1^12*T2^9 - 20*T1^4*T2^10 + 429*T1^5*T2^10 - 
     1993*T1^6*T2^10 + 3782*T1^7*T2^10 - 2497*T1^8*T2^10 - 978*T1^9*T2^10 + 
     2627*T1^10*T2^10 - 1391*T1^11*T2^10 + 260*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 143*T1^7*T2^11 - 647*T1^8*T2^11 + 1485*T1^9*T2^11 - 
     1391*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 260*T1^8*T2^12 - 349*T1^9*T2^12 + 260*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 152] -> {(9 - 28*T + 39*T^2 - 28*T^3 + 9*T^4)/T^2, 
   -((3240 - 9972*T1 + 13860*T1^2 - 9972*T1^3 + 3240*T1^4 - 9972*T2 + 
      23058*T1*T2 - 19077*T1^2*T2 - 2193*T1^3*T2 + 13734*T1^4*T2 - 
      7704*T1^5*T2 + 13860*T2^2 - 19077*T1*T2^2 - 6391*T1^2*T2^2 + 
      36385*T1^3*T2^2 - 27451*T1^4*T2^2 + 579*T1^5*T2^2 + 7542*T1^6*T2^2 - 
      9972*T2^3 - 2193*T1*T2^3 + 36385*T1^2*T2^3 - 43242*T1^3*T2^3 + 
      1950*T1^4*T2^3 + 25465*T1^5*T2^3 - 13533*T1^6*T2^3 - 3168*T1^7*T2^3 + 
      3240*T2^4 + 13734*T1*T2^4 - 27451*T1^2*T2^4 + 1950*T1^3*T2^4 + 
      40044*T1^4*T2^4 - 36018*T1^5*T2^4 + 3817*T1^6*T2^4 + 8694*T1^7*T2^4 + 
      324*T1^8*T2^4 - 7704*T1*T2^5 + 579*T1^2*T2^5 + 25465*T1^3*T2^5 - 
      36018*T1^4*T2^5 + 9174*T1^5*T2^5 + 14545*T1^6*T2^5 - 10761*T1^7*T2^5 - 
      900*T1^8*T2^5 + 7542*T1^2*T2^6 - 13533*T1^3*T2^6 + 3817*T1^4*T2^6 + 
      14545*T1^5*T2^6 - 17243*T1^6*T2^6 + 6123*T1^7*T2^6 + 1224*T1^8*T2^6 - 
      3168*T1^3*T2^7 + 8694*T1^4*T2^7 - 10761*T1^5*T2^7 + 6123*T1^6*T2^7 - 
      630*T1^7*T2^7 - 900*T1^8*T2^7 + 324*T1^4*T2^8 - 900*T1^5*T2^8 + 
      1224*T1^6*T2^8 - 900*T1^7*T2^8 + 324*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 153] -> 
  {(3 - 11*T + 24*T^2 - 31*T^3 + 24*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-45 + 167*T1 - 366*T1^2 + 475*T1^3 - 366*T1^4 + 167*T1^5 - 45*T1^6 + 
     167*T2 - 551*T1*T2 + 1100*T1^2*T2 - 1195*T1^3*T2 + 620*T1^4*T2 - 
     55*T1^5*T2 - 89*T1^6*T2 + 68*T1^7*T2 - 366*T2^2 + 1100*T1*T2^2 - 
     1970*T1^2*T2^2 + 1617*T1^3*T2^2 + 102*T1^4*T2^2 - 1263*T1^5*T2^2 + 
     1054*T1^6*T2^2 - 484*T1^7*T2^2 + 66*T1^8*T2^2 + 475*T2^3 - 
     1195*T1*T2^3 + 1617*T1^2*T2^3 - 167*T1^3*T2^3 - 2404*T1^4*T2^3 + 
     2351*T1^5*T2^3 + 79*T1^6*T2^3 - 1383*T1^7*T2^3 + 1082*T1^8*T2^3 - 
     362*T1^9*T2^3 - 366*T2^4 + 620*T1*T2^4 + 102*T1^2*T2^4 - 
     2404*T1^3*T2^4 + 4313*T1^4*T2^4 - 1083*T1^5*T2^4 - 3279*T1^6*T2^4 + 
     2990*T1^7*T2^4 - 488*T1^8*T2^4 - 502*T1^9*T2^4 + 498*T1^10*T2^4 + 
     167*T2^5 - 55*T1*T2^5 - 1263*T1^2*T2^5 + 2351*T1^3*T2^5 - 
     1083*T1^4*T2^5 - 6089*T1^5*T2^5 + 9421*T1^6*T2^5 - 4155*T1^7*T2^5 - 
     1126*T1^8*T2^5 + 1257*T1^9*T2^5 - 616*T1^10*T2^5 - 328*T1^11*T2^5 - 
     45*T2^6 - 89*T1*T2^6 + 1054*T1^2*T2^6 + 79*T1^3*T2^6 - 3279*T1^4*T2^6 + 
     9421*T1^5*T2^6 - 6144*T1^6*T2^6 - 4049*T1^7*T2^6 + 7205*T1^8*T2^6 - 
     2651*T1^9*T2^6 + 482*T1^10*T2^6 + 769*T1^11*T2^6 + 117*T1^12*T2^6 + 
     68*T1*T2^7 - 484*T1^2*T2^7 - 1383*T1^3*T2^7 + 2990*T1^4*T2^7 - 
     4155*T1^5*T2^7 - 4049*T1^6*T2^7 + 11461*T1^7*T2^7 - 7227*T1^8*T2^7 - 
     487*T1^9*T2^7 + 1137*T1^10*T2^7 - 1045*T1^11*T2^7 - 427*T1^12*T2^7 + 
     66*T1^2*T2^8 + 1082*T1^3*T2^8 - 488*T1^4*T2^8 - 1126*T1^5*T2^8 + 
     7205*T1^6*T2^8 - 7227*T1^7*T2^8 - 387*T1^8*T2^8 + 4268*T1^9*T2^8 - 
     1078*T1^10*T2^8 - 40*T1^11*T2^8 + 930*T1^12*T2^8 - 362*T1^3*T2^9 - 
     502*T1^4*T2^9 + 1257*T1^5*T2^9 - 2651*T1^6*T2^9 - 487*T1^7*T2^9 + 
     4268*T1^8*T2^9 - 2405*T1^9*T2^9 - 1743*T1^10*T2^9 + 1775*T1^11*T2^9 - 
     1199*T1^12*T2^9 + 498*T1^4*T2^10 - 616*T1^5*T2^10 + 482*T1^6*T2^10 + 
     1137*T1^7*T2^10 - 1078*T1^8*T2^10 - 1743*T1^9*T2^10 + 3506*T1^10*T2^10 - 
     2200*T1^11*T2^10 + 930*T1^12*T2^10 - 328*T1^5*T2^11 + 769*T1^6*T2^11 - 
     1045*T1^7*T2^11 - 40*T1^8*T2^11 + 1775*T1^9*T2^11 - 2200*T1^10*T2^11 + 
     1231*T1^11*T2^11 - 427*T1^12*T2^11 + 117*T1^6*T2^12 - 427*T1^7*T2^12 + 
     930*T1^8*T2^12 - 1199*T1^9*T2^12 + 930*T1^10*T2^12 - 427*T1^11*T2^12 + 
     117*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 154] -> 
  {-((4 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 4*T^6)/T^3), 
   -((-324 + 1938*T1 - 4504*T1^2 + 5866*T1^3 - 4504*T1^4 + 1938*T1^5 - 
      324*T1^6 + 1938*T2 - 10044*T1*T2 + 17680*T1^2*T2 - 13539*T1^3*T2 - 
      1155*T1^4*T2 + 10000*T1^5*T2 - 7356*T1^6*T2 + 1554*T1^7*T2 - 
      4504*T2^2 + 17680*T1*T2^2 - 10020*T1^2*T2^2 - 30955*T1^3*T2^2 + 
      67516*T1^4*T2^2 - 52907*T1^5*T2^2 + 13276*T1^6*T2^2 + 6928*T1^7*T2^2 - 
      2712*T1^8*T2^2 + 5866*T2^3 - 13539*T1*T2^3 - 30955*T1^2*T2^3 + 
      99310*T1^3*T2^3 - 98543*T1^4*T2^3 + 4753*T1^5*T2^3 + 59242*T1^6*T2^3 - 
      42379*T1^7*T2^3 + 2109*T1^8*T2^3 + 2362*T1^9*T2^3 - 4504*T2^4 - 
      1155*T1*T2^4 + 67516*T1^2*T2^4 - 98543*T1^3*T2^4 + 5324*T1^4*T2^4 + 
      130200*T1^5*T2^4 - 119780*T1^6*T2^4 + 18257*T1^7*T2^4 + 
      33596*T1^8*T2^4 - 8643*T1^9*T2^4 - 920*T1^10*T2^4 + 1938*T2^5 + 
      10000*T1*T2^5 - 52907*T1^2*T2^5 + 4753*T1^3*T2^5 + 130200*T1^4*T2^5 - 
      180302*T1^5*T2^5 + 37930*T1^6*T2^5 + 86744*T1^7*T2^5 - 
      71535*T1^8*T2^5 + 629*T1^9*T2^5 + 5392*T1^10*T2^5 + 18*T1^11*T2^5 - 
      324*T2^6 - 7356*T1*T2^6 + 13276*T1^2*T2^6 + 59242*T1^3*T2^6 - 
      119780*T1^4*T2^6 + 37930*T1^5*T2^6 + 131304*T1^6*T2^6 - 
      151894*T1^7*T2^6 + 43548*T1^8*T2^6 + 30730*T1^9*T2^6 - 
      11556*T1^10*T2^6 - 444*T1^11*T2^6 + 60*T1^12*T2^6 + 1554*T1*T2^7 + 
      6928*T1^2*T2^7 - 42379*T1^3*T2^7 + 18257*T1^4*T2^7 + 86744*T1^5*T2^7 - 
      151894*T1^6*T2^7 + 66338*T1^7*T2^7 + 43288*T1^8*T2^7 - 
      58031*T1^9*T2^7 + 11157*T1^10*T2^7 + 2320*T1^11*T2^7 - 366*T1^12*T2^7 - 
      2712*T1^2*T2^8 + 2109*T1^3*T2^8 + 33596*T1^4*T2^8 - 71535*T1^5*T2^8 + 
      43548*T1^6*T2^8 + 43288*T1^7*T2^8 - 81556*T1^8*T2^8 + 45265*T1^9*T2^8 - 
      324*T1^10*T2^8 - 5379*T1^11*T2^8 + 872*T1^12*T2^8 + 2362*T1^3*T2^9 - 
      8643*T1^4*T2^9 + 629*T1^5*T2^9 + 30730*T1^6*T2^9 - 58031*T1^7*T2^9 + 
      45265*T1^8*T2^9 - 9338*T1^9*T2^9 - 10795*T1^10*T2^9 + 7005*T1^11*T2^9 - 
      1142*T1^12*T2^9 - 920*T1^4*T2^10 + 5392*T1^5*T2^10 - 11556*T1^6*T2^10 + 
      11157*T1^7*T2^10 - 324*T1^8*T2^10 - 10795*T1^9*T2^10 + 
      11740*T1^10*T2^10 - 5360*T1^11*T2^10 + 872*T1^12*T2^10 + 
      18*T1^5*T2^11 - 444*T1^6*T2^11 + 2320*T1^7*T2^11 - 5379*T1^8*T2^11 + 
      7005*T1^9*T2^11 - 5360*T1^10*T2^11 + 2244*T1^11*T2^11 - 
      366*T1^12*T2^11 + 60*T1^6*T2^12 - 366*T1^7*T2^12 + 872*T1^8*T2^12 - 
      1142*T1^9*T2^12 + 872*T1^10*T2^12 - 366*T1^11*T2^12 + 60*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 155] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-31 + 233*T1 - 636*T1^2 + 853*T1^3 - 636*T1^4 + 233*T1^5 - 31*T1^6 + 
     233*T2 - 1578*T1*T2 + 3479*T1^2*T2 - 2861*T1^3*T2 + 19*T1^4*T2 + 
     1799*T1^5*T2 - 1068*T1^6*T2 + 173*T1^7*T2 - 636*T2^2 + 3479*T1*T2^2 - 
     3618*T1^2*T2^2 - 6712*T1^3*T2^2 + 16200*T1^4*T2^2 - 13272*T1^5*T2^2 + 
     2778*T1^6*T2^2 + 1019*T1^7*T2^2 - 308*T1^8*T2^2 + 853*T2^3 - 
     2861*T1*T2^3 - 6712*T1^2*T2^3 + 31677*T1^3*T2^3 - 33811*T1^4*T2^3 + 
     6749*T1^5*T2^3 + 16047*T1^6*T2^3 - 9787*T1^7*T2^3 + 859*T1^8*T2^3 + 
     193*T1^9*T2^3 - 636*T2^4 + 19*T1*T2^4 + 16200*T1^2*T2^4 - 
     33811*T1^3*T2^4 - 135*T1^4*T2^4 + 50081*T1^5*T2^4 - 53343*T1^6*T2^4 + 
     12499*T1^7*T2^4 + 4898*T1^8*T2^4 - 1601*T1^9*T2^4 + 20*T1^10*T2^4 + 
     233*T2^5 + 1799*T1*T2^5 - 13272*T1^2*T2^5 + 6749*T1^3*T2^5 + 
     50081*T1^4*T2^5 - 79672*T1^5*T2^5 + 36038*T1^6*T2^5 + 22816*T1^7*T2^5 - 
     22311*T1^8*T2^5 + 3743*T1^9*T2^5 + 359*T1^10*T2^5 - 67*T1^11*T2^5 - 
     31*T2^6 - 1068*T1*T2^6 + 2778*T1^2*T2^6 + 16047*T1^3*T2^6 - 
     53343*T1^4*T2^6 + 36038*T1^5*T2^6 + 31320*T1^6*T2^6 - 63702*T1^7*T2^6 + 
     29259*T1^8*T2^6 + 1197*T1^9*T2^6 - 3014*T1^10*T2^6 + 372*T1^11*T2^6 + 
     17*T1^12*T2^6 + 173*T1*T2^7 + 1019*T1^2*T2^7 - 9787*T1^3*T2^7 + 
     12499*T1^4*T2^7 + 22816*T1^5*T2^7 - 63702*T1^6*T2^7 + 52008*T1^7*T2^7 - 
     4449*T1^8*T2^7 - 16561*T1^9*T2^7 + 7228*T1^10*T2^7 - 421*T1^11*T2^7 - 
     127*T1^12*T2^7 - 308*T1^2*T2^8 + 859*T1^3*T2^8 + 4898*T1^4*T2^8 - 
     22311*T1^5*T2^8 + 29259*T1^6*T2^8 - 4449*T1^7*T2^8 - 23949*T1^8*T2^8 + 
     23999*T1^9*T2^8 - 6404*T1^10*T2^8 - 761*T1^11*T2^8 + 348*T1^12*T2^8 + 
     193*T1^3*T2^9 - 1601*T1^4*T2^9 + 3743*T1^5*T2^9 + 1197*T1^6*T2^9 - 
     16561*T1^7*T2^9 + 23999*T1^8*T2^9 - 14433*T1^9*T2^9 + 668*T1^10*T2^9 + 
     2119*T1^11*T2^9 - 467*T1^12*T2^9 + 20*T1^4*T2^10 + 359*T1^5*T2^10 - 
     3014*T1^6*T2^10 + 7228*T1^7*T2^10 - 6404*T1^8*T2^10 + 668*T1^9*T2^10 + 
     3382*T1^10*T2^10 - 2101*T1^11*T2^10 + 348*T1^12*T2^10 - 67*T1^5*T2^11 + 
     372*T1^6*T2^11 - 421*T1^7*T2^11 - 761*T1^8*T2^11 + 2119*T1^9*T2^11 - 
     2101*T1^10*T2^11 + 882*T1^11*T2^11 - 127*T1^12*T2^11 + 17*T1^6*T2^12 - 
     127*T1^7*T2^12 + 348*T1^8*T2^12 - 467*T1^9*T2^12 + 348*T1^10*T2^12 - 
     127*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 156] -> {(11 - 35*T + 49*T^2 - 35*T^3 + 11*T^4)/T^2, 
   -((5907 - 18604*T1 + 25987*T1^2 - 18604*T1^3 + 5907*T1^4 - 18604*T2 + 
      44337*T1*T2 - 36818*T1^2*T2 - 4478*T1^3*T2 + 26627*T1^4*T2 - 
      14369*T1^5*T2 + 25987*T2^2 - 36818*T1*T2^2 - 14365*T1^2*T2^2 + 
      73985*T1^3*T2^2 - 55329*T1^4*T2^2 + 912*T1^5*T2^2 + 14129*T1^6*T2^2 - 
      18604*T2^3 - 4478*T1*T2^3 + 73985*T1^2*T2^3 - 87348*T1^3*T2^3 + 
      3582*T1^4*T2^3 + 51690*T1^5*T2^3 - 26038*T1^6*T2^3 - 5899*T1^7*T2^3 + 
      5907*T2^4 + 26627*T1*T2^4 - 55329*T1^2*T2^4 + 3582*T1^3*T2^4 + 
      81108*T1^4*T2^4 - 72578*T1^5*T2^4 + 6705*T1^6*T2^4 + 16617*T1^7*T2^4 + 
      583*T1^8*T2^4 - 14369*T1*T2^5 + 912*T1^2*T2^5 + 51690*T1^3*T2^5 - 
      72578*T1^4*T2^5 + 18352*T1^5*T2^5 + 29395*T1^6*T2^5 - 20648*T1^7*T2^5 - 
      1664*T1^8*T2^5 + 14129*T1^2*T2^6 - 26038*T1^3*T2^6 + 6705*T1^4*T2^6 + 
      29395*T1^5*T2^6 - 34259*T1^6*T2^6 + 11692*T1^7*T2^6 + 2271*T1^8*T2^6 - 
      5899*T1^3*T2^7 + 16617*T1^4*T2^7 - 20648*T1^5*T2^7 + 11692*T1^6*T2^7 - 
      1093*T1^7*T2^7 - 1664*T1^8*T2^7 + 583*T1^4*T2^8 - 1664*T1^5*T2^8 + 
      2271*T1^6*T2^8 - 1664*T1^7*T2^8 + 583*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 157] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 658*T1^3*T2 + 
     532*T1^4*T2 - 91*T1^5*T2 - 224*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 950*T1^2*T2^2 + 589*T1^3*T2^2 + 
     602*T1^4*T2^2 - 1922*T1^5*T2^2 + 1790*T1^6*T2^2 - 863*T1^7*T2^2 - 
     26*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 160*T2^3 - 658*T1*T2^3 + 
     589*T1^2*T2^3 + 1664*T1^3*T2^3 - 4123*T1^4*T2^3 + 4781*T1^5*T2^3 - 
     1485*T1^6*T2^3 - 1295*T1^7*T2^3 + 2118*T1^8*T2^3 - 819*T1^9*T2^3 + 
     28*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 532*T1*T2^4 + 602*T1^2*T2^4 - 
     4123*T1^3*T2^4 + 4528*T1^4*T2^4 - 820*T1^5*T2^4 - 6758*T1^6*T2^4 + 
     7832*T1^7*T2^4 - 4544*T1^8*T2^4 - 203*T1^9*T2^4 + 994*T1^10*T2^4 - 
     280*T1^11*T2^4 + 160*T2^5 - 91*T1*T2^5 - 1922*T1^2*T2^5 + 
     4781*T1^3*T2^5 - 820*T1^4*T2^5 - 6291*T1^5*T2^5 + 13239*T1^6*T2^5 - 
     7083*T1^7*T2^5 - 1155*T1^8*T2^5 + 6049*T1^9*T2^5 - 2817*T1^10*T2^5 + 
     T1^11*T2^5 + 280*T1^12*T2^5 - 40*T1^13*T2^5 - 88*T2^6 - 224*T1*T2^6 + 
     1790*T1^2*T2^6 - 1485*T1^3*T2^6 - 6758*T1^4*T2^6 + 13239*T1^5*T2^6 - 
     13710*T1^6*T2^6 - 1152*T1^7*T2^6 + 10314*T1^8*T2^6 - 9429*T1^9*T2^6 + 
     186*T1^10*T2^6 + 2783*T1^11*T2^6 - 990*T1^12*T2^6 - 28*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 863*T1^2*T2^7 - 1295*T1^3*T2^7 + 
     7832*T1^4*T2^7 - 7083*T1^5*T2^7 - 1152*T1^6*T2^7 + 16779*T1^7*T2^7 - 
     15919*T1^8*T2^7 + 3020*T1^9*T2^7 + 8547*T1^10*T2^7 - 6169*T1^11*T2^7 + 
     245*T1^12*T2^7 + 809*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 26*T1^2*T2^8 + 2118*T1^3*T2^8 - 4544*T1^4*T2^8 - 
     1155*T1^5*T2^8 + 10314*T1^6*T2^8 - 15919*T1^7*T2^8 + 3348*T1^8*T2^8 + 
     12711*T1^9*T2^8 - 13942*T1^10*T2^8 + 2691*T1^11*T2^8 + 4280*T1^12*T2^8 - 
     2086*T1^13*T2^8 + 28*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 819*T1^3*T2^9 - 203*T1^4*T2^9 + 
     6049*T1^5*T2^9 - 9429*T1^6*T2^9 + 3020*T1^7*T2^9 + 12711*T1^8*T2^9 - 
     19987*T1^9*T2^9 + 7192*T1^10*T2^9 + 6201*T1^11*T2^9 - 7952*T1^12*T2^9 + 
     1337*T1^13*T2^9 + 853*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 28*T1^3*T2^10 + 994*T1^4*T2^10 - 2817*T1^5*T2^10 + 
     186*T1^6*T2^10 + 8547*T1^7*T2^10 - 13942*T1^8*T2^10 + 7192*T1^9*T2^10 + 
     10082*T1^10*T2^10 - 14121*T1^11*T2^10 + 7130*T1^12*T2^10 + 
     1451*T1^13*T2^10 - 1786*T1^14*T2^10 + 224*T1^15*T2^10 + 88*T1^16*T2^10 + 
     40*T1^3*T2^11 - 280*T1^4*T2^11 + T1^5*T2^11 + 2783*T1^6*T2^11 - 
     6169*T1^7*T2^11 + 2691*T1^8*T2^11 + 6201*T1^9*T2^11 - 
     14121*T1^10*T2^11 + 7827*T1^11*T2^11 + 700*T1^12*T2^11 - 
     4815*T1^13*T2^11 + 1924*T1^14*T2^11 + 91*T1^15*T2^11 - 160*T1^16*T2^11 + 
     280*T1^5*T2^12 - 990*T1^6*T2^12 + 245*T1^7*T2^12 + 4280*T1^8*T2^12 - 
     7952*T1^9*T2^12 + 7130*T1^10*T2^12 + 700*T1^11*T2^12 - 
     4792*T1^12*T2^12 + 4165*T1^13*T2^12 - 598*T1^14*T2^12 - 
     532*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 28*T1^6*T2^13 + 
     809*T1^7*T2^13 - 2086*T1^8*T2^13 + 1337*T1^9*T2^13 + 1451*T1^10*T2^13 - 
     4815*T1^11*T2^13 + 4165*T1^12*T2^13 - 1632*T1^13*T2^13 - 
     599*T1^14*T2^13 + 658*T1^15*T2^13 - 160*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 28*T1^8*T2^14 + 853*T1^9*T2^14 - 1786*T1^10*T2^14 + 
     1924*T1^11*T2^14 - 598*T1^12*T2^14 - 599*T1^13*T2^14 + 952*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 224*T1^10*T2^15 + 91*T1^11*T2^15 - 532*T1^12*T2^15 + 
     658*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 160*T1^11*T2^16 + 
     196*T1^12*T2^16 - 160*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 158] -> 
  {-((1 - 7*T + 16*T^2 - 23*T^3 + 25*T^4 - 23*T^5 + 16*T^6 - 7*T^7 + T^8)/
     T^4), -((-7 + 49*T1 - 112*T1^2 + 161*T1^3 - 175*T1^4 + 161*T1^5 - 
      112*T1^6 + 49*T1^7 - 7*T1^8 + 49*T2 - 301*T1*T2 + 490*T1^2*T2 - 
      455*T1^3*T2 + 259*T1^4*T2 - 77*T1^5*T2 - 182*T1^6*T2 + 329*T1^7*T2 - 
      245*T1^8*T2 + 42*T1^9*T2 - 112*T2^2 + 490*T1*T2^2 + 165*T1^2*T2^2 - 
      1514*T1^3*T2^2 + 2604*T1^4*T2^2 - 2851*T1^5*T2^2 + 2892*T1^6*T2^2 - 
      2026*T1^7*T2^2 + 645*T1^8*T2^2 + 266*T1^9*T2^2 - 80*T1^10*T2^2 + 
      161*T2^3 - 455*T1*T2^3 - 1514*T1^2*T2^3 + 3165*T1^3*T2^3 - 
      3093*T1^4*T2^3 + 1698*T1^5*T2^3 - 987*T1^6*T2^3 - 933*T1^7*T2^3 + 
      2245*T1^8*T2^3 - 1722*T1^9*T2^3 - 84*T1^10*T2^3 + 92*T1^11*T2^3 - 
      175*T2^4 + 259*T1*T2^4 + 2604*T1^2*T2^4 - 3093*T1^3*T2^4 + 
      1638*T1^4*T2^4 - 63*T1^5*T2^4 + 428*T1^6*T2^4 + 1235*T1^7*T2^4 - 
      1114*T1^8*T2^4 - 563*T1^9*T2^4 + 1950*T1^10*T2^4 - 119*T1^11*T2^4 - 
      75*T1^12*T2^4 + 161*T2^5 - 77*T1*T2^5 - 2851*T1^2*T2^5 + 
      1698*T1^3*T2^5 - 63*T1^4*T2^5 - 452*T1^5*T2^5 - 951*T1^6*T2^5 - 
      785*T1^7*T2^5 - 140*T1^8*T2^5 + 1198*T1^9*T2^5 - 1113*T1^10*T2^5 - 
      1384*T1^11*T2^5 + 203*T1^12*T2^5 + 46*T1^13*T2^5 - 112*T2^6 - 
      182*T1*T2^6 + 2892*T1^2*T2^6 - 987*T1^3*T2^6 + 428*T1^4*T2^6 - 
      951*T1^5*T2^6 + 2228*T1^6*T2^6 + 220*T1^7*T2^6 + 564*T1^8*T2^6 - 
      503*T1^9*T2^6 + 16*T1^10*T2^6 + 1509*T1^11*T2^6 + 720*T1^12*T2^6 - 
      210*T1^13*T2^6 - 16*T1^14*T2^6 + 49*T2^7 + 329*T1*T2^7 - 
      2026*T1^2*T2^7 - 933*T1^3*T2^7 + 1235*T1^4*T2^7 - 785*T1^5*T2^7 + 
      220*T1^6*T2^7 - 2380*T1^7*T2^7 + 588*T1^8*T2^7 - 27*T1^9*T2^7 - 
      387*T1^10*T2^7 - 174*T1^11*T2^7 - 1613*T1^12*T2^7 + 6*T1^13*T2^7 + 
      112*T1^14*T2^7 - 7*T2^8 - 245*T1*T2^8 + 645*T1^2*T2^8 + 
      2245*T1^3*T2^8 - 1114*T1^4*T2^8 - 140*T1^5*T2^8 + 564*T1^6*T2^8 + 
      588*T1^7*T2^8 + 1776*T1^8*T2^8 - 1920*T1^9*T2^8 + 1578*T1^10*T2^8 - 
      656*T1^11*T2^8 + 1302*T1^12*T2^8 + 655*T1^13*T2^8 - 261*T1^14*T2^8 - 
      7*T1^15*T2^8 + T1^16*T2^8 + 42*T1*T2^9 + 266*T1^2*T2^9 - 
      1722*T1^3*T2^9 - 563*T1^4*T2^9 + 1198*T1^5*T2^9 - 503*T1^6*T2^9 - 
      27*T1^7*T2^9 - 1920*T1^8*T2^9 + 1048*T1^9*T2^9 - 274*T1^10*T2^9 - 
      105*T1^11*T2^9 - 211*T1^12*T2^9 - 1243*T1^13*T2^9 + 310*T1^14*T2^9 + 
      49*T1^15*T2^9 - 7*T1^16*T2^9 - 80*T1^2*T2^10 - 84*T1^3*T2^10 + 
      1950*T1^4*T2^10 - 1113*T1^5*T2^10 + 16*T1^6*T2^10 - 387*T1^7*T2^10 + 
      1578*T1^8*T2^10 - 274*T1^9*T2^10 - 86*T1^10*T2^10 + 61*T1^11*T2^10 - 
      396*T1^12*T2^10 + 1383*T1^13*T2^10 - 222*T1^14*T2^10 - 
      112*T1^15*T2^10 + 16*T1^16*T2^10 + 92*T1^3*T2^11 - 119*T1^4*T2^11 - 
      1384*T1^5*T2^11 + 1509*T1^6*T2^11 - 174*T1^7*T2^11 - 656*T1^8*T2^11 - 
      105*T1^9*T2^11 + 61*T1^10*T2^11 - 344*T1^11*T2^11 + 1087*T1^12*T2^11 - 
      1302*T1^13*T2^11 + 83*T1^14*T2^11 + 161*T1^15*T2^11 - 23*T1^16*T2^11 - 
      75*T1^4*T2^12 + 203*T1^5*T2^12 + 720*T1^6*T2^12 - 1613*T1^7*T2^12 + 
      1302*T1^8*T2^12 - 211*T1^9*T2^12 - 396*T1^10*T2^12 + 1087*T1^11*T2^12 - 
      1450*T1^12*T2^12 + 917*T1^13*T2^12 + 66*T1^14*T2^12 - 175*T1^15*T2^12 + 
      25*T1^16*T2^12 + 46*T1^5*T2^13 - 210*T1^6*T2^13 + 6*T1^7*T2^13 + 
      655*T1^8*T2^13 - 1243*T1^9*T2^13 + 1383*T1^10*T2^13 - 
      1302*T1^11*T2^13 + 917*T1^12*T2^13 - 265*T1^13*T2^13 - 
      202*T1^14*T2^13 + 161*T1^15*T2^13 - 23*T1^16*T2^13 - 16*T1^6*T2^14 + 
      112*T1^7*T2^14 - 261*T1^8*T2^14 + 310*T1^9*T2^14 - 222*T1^10*T2^14 + 
      83*T1^11*T2^14 + 66*T1^12*T2^14 - 202*T1^13*T2^14 + 219*T1^14*T2^14 - 
      112*T1^15*T2^14 + 16*T1^16*T2^14 - 7*T1^8*T2^15 + 49*T1^9*T2^15 - 
      112*T1^10*T2^15 + 161*T1^11*T2^15 - 175*T1^12*T2^15 + 161*T1^13*T2^15 - 
      112*T1^14*T2^15 + 49*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 16*T1^10*T2^16 - 23*T1^11*T2^16 + 25*T1^12*T2^16 - 
      23*T1^13*T2^16 + 16*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 159] -> 
  {-((2 - 15*T + 37*T^2 - 49*T^3 + 37*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-41 + 307*T1 - 756*T1^2 + 1001*T1^3 - 756*T1^4 + 307*T1^5 - 41*T1^6 + 
      307*T2 - 2052*T1*T2 + 3813*T1^2*T2 - 2945*T1^3*T2 - 365*T1^4*T2 + 
      2253*T1^5*T2 - 1542*T1^6*T2 + 247*T1^7*T2 - 756*T2^2 + 3813*T1*T2^2 - 
      737*T1^2*T2^2 - 11646*T1^3*T2^2 + 21977*T1^4*T2^2 - 16678*T1^5*T2^2 + 
      4443*T1^6*T2^2 + 1593*T1^7*T2^2 - 460*T1^8*T2^2 + 1001*T2^3 - 
      2945*T1*T2^3 - 11646*T1^2*T2^3 + 33133*T1^3*T2^3 - 31786*T1^4*T2^3 + 
      656*T1^5*T2^3 + 19267*T1^6*T2^3 - 13089*T1^7*T2^3 + 355*T1^8*T2^3 + 
      413*T1^9*T2^3 - 756*T2^4 - 365*T1*T2^4 + 21977*T1^2*T2^4 - 
      31786*T1^3*T2^4 + 472*T1^4*T2^4 + 44446*T1^5*T2^4 - 39148*T1^6*T2^4 + 
      5160*T1^7*T2^4 + 10879*T1^8*T2^4 - 1865*T1^9*T2^4 - 164*T1^10*T2^4 + 
      307*T2^5 + 2253*T1*T2^5 - 16678*T1^2*T2^5 + 656*T1^3*T2^5 + 
      44446*T1^4*T2^5 - 60722*T1^5*T2^5 + 11166*T1^6*T2^5 + 29535*T1^7*T2^5 - 
      22778*T1^8*T2^5 - 879*T1^9*T2^5 + 1173*T1^10*T2^5 + 7*T1^11*T2^5 - 
      41*T2^6 - 1542*T1*T2^6 + 4443*T1^2*T2^6 + 19267*T1^3*T2^6 - 
      39148*T1^4*T2^6 + 11166*T1^5*T2^6 + 46152*T1^6*T2^6 - 50786*T1^7*T2^6 + 
      13470*T1^8*T2^6 + 10321*T1^9*T2^6 - 2693*T1^10*T2^6 - 102*T1^11*T2^6 + 
      7*T1^12*T2^6 + 247*T1*T2^7 + 1593*T1^2*T2^7 - 13089*T1^3*T2^7 + 
      5160*T1^4*T2^7 + 29535*T1^5*T2^7 - 50786*T1^6*T2^7 + 21102*T1^7*T2^7 + 
      14624*T1^8*T2^7 - 18274*T1^9*T2^7 + 2710*T1^10*T2^7 + 513*T1^11*T2^7 - 
      53*T1^12*T2^7 - 460*T1^2*T2^8 + 355*T1^3*T2^8 + 10879*T1^4*T2^8 - 
      22778*T1^5*T2^8 + 13470*T1^6*T2^8 + 14624*T1^7*T2^8 - 26150*T1^8*T2^8 + 
      14168*T1^9*T2^8 - 219*T1^10*T2^8 - 1145*T1^11*T2^8 + 132*T1^12*T2^8 + 
      413*T1^3*T2^9 - 1865*T1^4*T2^9 - 879*T1^5*T2^9 + 10321*T1^6*T2^9 - 
      18274*T1^7*T2^9 + 14168*T1^8*T2^9 - 3545*T1^9*T2^9 - 2322*T1^10*T2^9 + 
      1435*T1^11*T2^9 - 175*T1^12*T2^9 - 164*T1^4*T2^10 + 1173*T1^5*T2^10 - 
      2693*T1^6*T2^10 + 2710*T1^7*T2^10 - 219*T1^8*T2^10 - 2322*T1^9*T2^10 + 
      2487*T1^10*T2^10 - 1047*T1^11*T2^10 + 132*T1^12*T2^10 + 7*T1^5*T2^11 - 
      102*T1^6*T2^11 + 513*T1^7*T2^11 - 1145*T1^8*T2^11 + 1435*T1^9*T2^11 - 
      1047*T1^10*T2^11 + 408*T1^11*T2^11 - 53*T1^12*T2^11 + 7*T1^6*T2^12 - 
      53*T1^7*T2^12 + 132*T1^8*T2^12 - 175*T1^9*T2^12 + 132*T1^10*T2^12 - 
      53*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 160] -> 
  {(2 - 7*T + 14*T^2 - 18*T^3 + 19*T^4 - 18*T^5 + 14*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-15 + 53*T1 - 106*T1^2 + 137*T1^3 - 145*T1^4 + 137*T1^5 - 
     106*T1^6 + 53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 285*T1^2*T2 - 
     305*T1^3*T2 + 280*T1^4*T2 - 238*T1^5*T2 + 143*T1^6*T2 - 9*T1^7*T2 - 
     36*T1^8*T2 + 25*T1^9*T2 - 106*T2^2 + 285*T1*T2^2 - 428*T1^2*T2^2 + 
     332*T1^3*T2^2 - 209*T1^4*T2^2 + 110*T1^5*T2^2 + 71*T1^6*T2^2 - 
     284*T1^7*T2^2 + 244*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 
     137*T2^3 - 305*T1*T2^3 + 332*T1^2*T2^3 - 66*T1^3*T2^3 - 60*T1^4*T2^3 + 
     27*T1^5*T2^3 - 143*T1^6*T2^3 + 268*T1^7*T2^3 + 36*T1^8*T2^3 - 
     298*T1^9*T2^3 + 255*T1^10*T2^3 - 79*T1^11*T2^3 - 145*T2^4 + 
     280*T1*T2^4 - 209*T1^2*T2^4 - 60*T1^3*T2^4 + 39*T1^4*T2^4 + 
     166*T1^5*T2^4 + 61*T1^6*T2^4 - 246*T1^7*T2^4 - 149*T1^8*T2^4 + 
     228*T1^9*T2^4 + 155*T1^10*T2^4 - 280*T1^11*T2^4 + 159*T1^12*T2^4 + 
     137*T2^5 - 238*T1*T2^5 + 110*T1^2*T2^5 + 27*T1^3*T2^5 + 166*T1^4*T2^5 - 
     515*T1^5*T2^5 + 157*T1^6*T2^5 - 179*T1^7*T2^5 + 775*T1^8*T2^5 - 
     566*T1^9*T2^5 - 51*T1^10*T2^5 - 121*T1^11*T2^5 + 224*T1^12*T2^5 - 
     223*T1^13*T2^5 - 106*T2^6 + 143*T1*T2^6 + 71*T1^2*T2^6 - 143*T1^3*T2^6 + 
     61*T1^4*T2^6 + 157*T1^5*T2^6 + 395*T1^6*T2^6 - 27*T1^7*T2^6 - 
     473*T1^8*T2^6 - 151*T1^9*T2^6 + 565*T1^10*T2^6 + 165*T1^11*T2^6 - 
     41*T1^12*T2^6 - 25*T1^13*T2^6 + 230*T1^14*T2^6 + 53*T2^7 - 9*T1*T2^7 - 
     284*T1^2*T2^7 + 268*T1^3*T2^7 - 246*T1^4*T2^7 - 179*T1^5*T2^7 - 
     27*T1^6*T2^7 - 980*T1^7*T2^7 + 1150*T1^8*T2^7 - 311*T1^9*T2^7 + 
     213*T1^10*T2^7 - 794*T1^11*T2^7 - 220*T1^12*T2^7 + 262*T1^13*T2^7 - 
     303*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 244*T1^2*T2^8 + 
     36*T1^3*T2^8 - 149*T1^4*T2^8 + 775*T1^5*T2^8 - 473*T1^6*T2^8 + 
     1150*T1^7*T2^8 - 156*T1^8*T2^8 - 930*T1^9*T2^8 + 883*T1^10*T2^8 - 
     551*T1^11*T2^8 + 1607*T1^12*T2^8 - 616*T1^13*T2^8 + 202*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     298*T1^3*T2^9 + 228*T1^4*T2^9 - 566*T1^5*T2^9 - 151*T1^6*T2^9 - 
     311*T1^7*T2^9 - 930*T1^8*T2^9 + 1200*T1^9*T2^9 - 595*T1^10*T2^9 + 
     241*T1^11*T2^9 - 1114*T1^12*T2^9 - 260*T1^13*T2^9 + 248*T1^14*T2^9 - 
     401*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 255*T1^3*T2^10 + 
     155*T1^4*T2^10 - 51*T1^5*T2^10 + 565*T1^6*T2^10 + 213*T1^7*T2^10 + 
     883*T1^8*T2^10 - 595*T1^9*T2^10 + 15*T1^10*T2^10 - 95*T1^11*T2^10 + 
     1069*T1^12*T2^10 + 257*T1^13*T2^10 + 43*T1^14*T2^10 + 87*T1^15*T2^10 + 
     342*T1^16*T2^10 - 79*T1^3*T2^11 - 280*T1^4*T2^11 - 121*T1^5*T2^11 + 
     165*T1^6*T2^11 - 794*T1^7*T2^11 - 551*T1^8*T2^11 + 241*T1^9*T2^11 - 
     95*T1^10*T2^11 + 739*T1^11*T2^11 - 1526*T1^12*T2^11 + 87*T1^13*T2^11 - 
     352*T1^14*T2^11 + 182*T1^15*T2^11 - 439*T1^16*T2^11 + 159*T1^4*T2^12 + 
     224*T1^5*T2^12 - 41*T1^6*T2^12 - 220*T1^7*T2^12 + 1607*T1^8*T2^12 - 
     1114*T1^9*T2^12 + 1069*T1^10*T2^12 - 1526*T1^11*T2^12 + 
     1419*T1^12*T2^12 + 68*T1^13*T2^12 + 323*T1^14*T2^12 - 336*T1^15*T2^12 + 
     463*T1^16*T2^12 - 223*T1^5*T2^13 - 25*T1^6*T2^13 + 262*T1^7*T2^13 - 
     616*T1^8*T2^13 - 260*T1^9*T2^13 + 257*T1^10*T2^13 + 87*T1^11*T2^13 + 
     68*T1^12*T2^13 - 514*T1^13*T2^13 - 368*T1^14*T2^13 + 535*T1^15*T2^13 - 
     439*T1^16*T2^13 + 230*T1^6*T2^14 - 303*T1^7*T2^14 + 202*T1^8*T2^14 + 
     248*T1^9*T2^14 + 43*T1^10*T2^14 - 352*T1^11*T2^14 + 323*T1^12*T2^14 - 
     368*T1^13*T2^14 + 874*T1^14*T2^14 - 695*T1^15*T2^14 + 342*T1^16*T2^14 - 
     143*T1^7*T2^15 + 328*T1^8*T2^15 - 401*T1^9*T2^15 + 87*T1^10*T2^15 + 
     182*T1^11*T2^15 - 336*T1^12*T2^15 + 535*T1^13*T2^15 - 695*T1^14*T2^15 + 
     454*T1^15*T2^15 - 171*T1^16*T2^15 + 49*T1^8*T2^16 - 171*T1^9*T2^16 + 
     342*T1^10*T2^16 - 439*T1^11*T2^16 + 463*T1^12*T2^16 - 439*T1^13*T2^16 + 
     342*T1^14*T2^16 - 171*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 161] -> 
  {(4 - 16*T + 34*T^2 - 43*T^3 + 34*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-112 + 456*T1 - 972*T1^2 + 1232*T1^3 - 972*T1^4 + 456*T1^5 - 112*T1^6 + 
     456*T2 - 1652*T1*T2 + 3118*T1^2*T2 - 3230*T1^3*T2 + 1698*T1^4*T2 - 
     82*T1^5*T2 - 372*T1^6*T2 + 200*T1^7*T2 - 972*T2^2 + 3118*T1*T2^2 - 
     4866*T1^2*T2^2 + 2943*T1^3*T2^2 + 1684*T1^4*T2^2 - 4401*T1^5*T2^2 + 
     3294*T1^6*T2^2 - 1234*T1^7*T2^2 + 116*T1^8*T2^2 + 1232*T2^3 - 
     3230*T1*T2^3 + 2943*T1^2*T2^3 + 2622*T1^3*T2^3 - 8714*T1^4*T2^3 + 
     7374*T1^5*T2^3 - 326*T1^6*T2^3 - 3721*T1^7*T2^3 + 2850*T1^8*T2^3 - 
     832*T1^9*T2^3 - 972*T2^4 + 1698*T1*T2^4 + 1684*T1^2*T2^4 - 
     8714*T1^3*T2^4 + 11159*T1^4*T2^4 - 1297*T1^5*T2^4 - 9673*T1^6*T2^4 + 
     9174*T1^7*T2^4 - 1836*T1^8*T2^4 - 1502*T1^9*T2^4 + 1204*T1^10*T2^4 + 
     456*T2^5 - 82*T1*T2^5 - 4401*T1^2*T2^5 + 7374*T1^3*T2^5 - 
     1297*T1^4*T2^5 - 15876*T1^5*T2^5 + 21498*T1^6*T2^5 - 8573*T1^7*T2^5 - 
     5114*T1^8*T2^5 + 4983*T1^9*T2^5 - 1490*T1^10*T2^5 - 824*T1^11*T2^5 - 
     112*T2^6 - 372*T1*T2^6 + 3294*T1^2*T2^6 - 326*T1^3*T2^6 - 
     9673*T1^4*T2^6 + 21498*T1^5*T2^6 - 10620*T1^6*T2^6 - 11742*T1^7*T2^6 + 
     18919*T1^8*T2^6 - 6630*T1^9*T2^6 - 578*T1^10*T2^6 + 2188*T1^11*T2^6 + 
     272*T1^12*T2^6 + 200*T1*T2^7 - 1234*T1^2*T2^7 - 3721*T1^3*T2^7 + 
     9174*T1^4*T2^7 - 8573*T1^5*T2^7 - 11742*T1^6*T2^7 + 25632*T1^7*T2^7 - 
     15849*T1^8*T2^7 - 3314*T1^9*T2^7 + 5663*T1^10*T2^7 - 2642*T1^11*T2^7 - 
     1080*T1^12*T2^7 + 116*T1^2*T2^8 + 2850*T1^3*T2^8 - 1836*T1^4*T2^8 - 
     5114*T1^5*T2^8 + 18919*T1^6*T2^8 - 15849*T1^7*T2^8 - 1913*T1^8*T2^8 + 
     12774*T1^9*T2^8 - 5356*T1^10*T2^8 - 350*T1^11*T2^8 + 2292*T1^12*T2^8 - 
     832*T1^3*T2^9 - 1502*T1^4*T2^9 + 4983*T1^5*T2^9 - 6630*T1^6*T2^9 - 
     3314*T1^7*T2^9 + 12774*T1^8*T2^9 - 9578*T1^9*T2^9 - 1681*T1^10*T2^9 + 
     4578*T1^11*T2^9 - 2896*T1^12*T2^9 + 1204*T1^4*T2^10 - 1490*T1^5*T2^10 - 
     578*T1^6*T2^10 + 5663*T1^7*T2^10 - 5356*T1^8*T2^10 - 1681*T1^9*T2^10 + 
     7582*T1^10*T2^10 - 5842*T1^11*T2^10 + 2292*T1^12*T2^10 - 
     824*T1^5*T2^11 + 2188*T1^6*T2^11 - 2642*T1^7*T2^11 - 350*T1^8*T2^11 + 
     4578*T1^9*T2^11 - 5842*T1^10*T2^11 + 3468*T1^11*T2^11 - 
     1080*T1^12*T2^11 + 272*T1^6*T2^12 - 1080*T1^7*T2^12 + 2292*T1^8*T2^12 - 
     2896*T1^9*T2^12 + 2292*T1^10*T2^12 - 1080*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 162] -> 
  {-((4 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 4*T^6)/T^3), 
   -((-324 + 1938*T1 - 4502*T1^2 + 5862*T1^3 - 4502*T1^4 + 1938*T1^5 - 
      324*T1^6 + 1938*T2 - 10048*T1*T2 + 17684*T1^2*T2 - 13539*T1^3*T2 - 
      1155*T1^4*T2 + 10004*T1^5*T2 - 7360*T1^6*T2 + 1554*T1^7*T2 - 
      4502*T2^2 + 17684*T1*T2^2 - 10024*T1^2*T2^2 - 30955*T1^3*T2^2 + 
      67512*T1^4*T2^2 - 52907*T1^5*T2^2 + 13272*T1^6*T2^2 + 6932*T1^7*T2^2 - 
      2710*T1^8*T2^2 + 5862*T2^3 - 13539*T1*T2^3 - 30955*T1^2*T2^3 + 
      99310*T1^3*T2^3 - 98539*T1^4*T2^3 + 4757*T1^5*T2^3 + 59242*T1^6*T2^3 - 
      42379*T1^7*T2^3 + 2109*T1^8*T2^3 + 2358*T1^9*T2^3 - 4502*T2^4 - 
      1155*T1*T2^4 + 67512*T1^2*T2^4 - 98539*T1^3*T2^4 + 5324*T1^4*T2^4 + 
      130196*T1^5*T2^4 - 119780*T1^6*T2^4 + 18261*T1^7*T2^4 + 
      33592*T1^8*T2^4 - 8643*T1^9*T2^4 - 918*T1^10*T2^4 + 1938*T2^5 + 
      10004*T1*T2^5 - 52907*T1^2*T2^5 + 4757*T1^3*T2^5 + 130196*T1^4*T2^5 - 
      180306*T1^5*T2^5 + 37926*T1^6*T2^5 + 86740*T1^7*T2^5 - 
      71531*T1^8*T2^5 + 629*T1^9*T2^5 + 5396*T1^10*T2^5 + 18*T1^11*T2^5 - 
      324*T2^6 - 7360*T1*T2^6 + 13272*T1^2*T2^6 + 59242*T1^3*T2^6 - 
      119780*T1^4*T2^6 + 37926*T1^5*T2^6 + 131328*T1^6*T2^6 - 
      151898*T1^7*T2^6 + 43548*T1^8*T2^6 + 30730*T1^9*T2^6 - 
      11560*T1^10*T2^6 - 448*T1^11*T2^6 + 60*T1^12*T2^6 + 1554*T1*T2^7 + 
      6932*T1^2*T2^7 - 42379*T1^3*T2^7 + 18261*T1^4*T2^7 + 86740*T1^5*T2^7 - 
      151898*T1^6*T2^7 + 66334*T1^7*T2^7 + 43284*T1^8*T2^7 - 
      58027*T1^9*T2^7 + 11157*T1^10*T2^7 + 2324*T1^11*T2^7 - 366*T1^12*T2^7 - 
      2710*T1^2*T2^8 + 2109*T1^3*T2^8 + 33592*T1^4*T2^8 - 71531*T1^5*T2^8 + 
      43548*T1^6*T2^8 + 43284*T1^7*T2^8 - 81556*T1^8*T2^8 + 45269*T1^9*T2^8 - 
      328*T1^10*T2^8 - 5379*T1^11*T2^8 + 874*T1^12*T2^8 + 2358*T1^3*T2^9 - 
      8643*T1^4*T2^9 + 629*T1^5*T2^9 + 30730*T1^6*T2^9 - 58027*T1^7*T2^9 + 
      45269*T1^8*T2^9 - 9338*T1^9*T2^9 - 10795*T1^10*T2^9 + 7005*T1^11*T2^9 - 
      1146*T1^12*T2^9 - 918*T1^4*T2^10 + 5396*T1^5*T2^10 - 11560*T1^6*T2^10 + 
      11157*T1^7*T2^10 - 328*T1^8*T2^10 - 10795*T1^9*T2^10 + 
      11736*T1^10*T2^10 - 5356*T1^11*T2^10 + 874*T1^12*T2^10 + 
      18*T1^5*T2^11 - 448*T1^6*T2^11 + 2324*T1^7*T2^11 - 5379*T1^8*T2^11 + 
      7005*T1^9*T2^11 - 5356*T1^10*T2^11 + 2240*T1^11*T2^11 - 
      366*T1^12*T2^11 + 60*T1^6*T2^12 - 366*T1^7*T2^12 + 874*T1^8*T2^12 - 
      1146*T1^9*T2^12 + 874*T1^10*T2^12 - 366*T1^11*T2^12 + 60*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 163] -> 
  {((2 - 3*T + 2*T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-260 + 1434*T1 - 3528*T1^2 + 4638*T1^3 - 3528*T1^4 + 1434*T1^5 - 
     260*T1^6 + 1434*T2 - 6832*T1*T2 + 13497*T1^2*T2 - 10884*T1^3*T2 + 
     116*T1^4*T2 + 6809*T1^5*T2 - 4544*T1^6*T2 + 1082*T1^7*T2 - 3528*T2^2 + 
     13497*T1*T2^2 - 16683*T1^2*T2^2 - 8463*T1^3*T2^2 + 34631*T1^4*T2^2 - 
     29631*T1^5*T2^2 + 4917*T1^6*T2^2 + 3993*T1^7*T2^2 - 1800*T1^8*T2^2 + 
     4638*T2^3 - 10884*T1*T2^3 - 8463*T1^2*T2^3 + 63932*T1^3*T2^3 - 
     71450*T1^4*T2^3 + 12298*T1^5*T2^3 + 37544*T1^6*T2^3 - 23583*T1^7*T2^3 + 
     3108*T1^8*T2^3 + 1230*T1^9*T2^3 - 3528*T2^4 + 116*T1*T2^4 + 
     34631*T1^2*T2^4 - 71450*T1^3*T2^4 - 43*T1^4*T2^4 + 105597*T1^5*T2^4 - 
     109919*T1^6*T2^4 + 23406*T1^7*T2^4 + 12559*T1^8*T2^4 - 6396*T1^9*T2^4 - 
     72*T1^10*T2^4 + 1434*T2^5 + 6809*T1*T2^5 - 29631*T1^2*T2^5 + 
     12298*T1^3*T2^5 + 105597*T1^4*T2^5 - 158906*T1^5*T2^5 + 
     60920*T1^6*T2^5 + 57753*T1^7*T2^5 - 49234*T1^8*T2^5 + 9681*T1^9*T2^5 + 
     2233*T1^10*T2^5 - 326*T1^11*T2^5 - 260*T2^6 - 4544*T1*T2^6 + 
     4917*T1^2*T2^6 + 37544*T1^3*T2^6 - 109919*T1^4*T2^6 + 60920*T1^5*T2^6 + 
     77424*T1^6*T2^6 - 130160*T1^7*T2^6 + 49409*T1^8*T2^6 + 6968*T1^9*T2^6 - 
     9163*T1^10*T2^6 + 1088*T1^11*T2^6 + 124*T1^12*T2^6 + 1082*T1*T2^7 + 
     3993*T1^2*T2^7 - 23583*T1^3*T2^7 + 23406*T1^4*T2^7 + 57753*T1^5*T2^7 - 
     130160*T1^6*T2^7 + 89666*T1^7*T2^7 + 9909*T1^8*T2^7 - 38126*T1^9*T2^7 + 
     15729*T1^10*T2^7 - 583*T1^11*T2^7 - 678*T1^12*T2^7 - 1800*T1^2*T2^8 + 
     3108*T1^3*T2^8 + 12559*T1^4*T2^8 - 49234*T1^5*T2^8 + 49409*T1^6*T2^8 + 
     9909*T1^7*T2^8 - 60467*T1^8*T2^8 + 45622*T1^9*T2^8 - 9513*T1^10*T2^8 - 
     3404*T1^11*T2^8 + 1656*T1^12*T2^8 + 1230*T1^3*T2^9 - 6396*T1^4*T2^9 + 
     9681*T1^5*T2^9 + 6968*T1^6*T2^9 - 38126*T1^7*T2^9 + 45622*T1^8*T2^9 - 
     19420*T1^9*T2^9 - 5439*T1^10*T2^9 + 7596*T1^11*T2^9 - 2178*T1^12*T2^9 - 
     72*T1^4*T2^10 + 2233*T1^5*T2^10 - 9163*T1^6*T2^10 + 15729*T1^7*T2^10 - 
     9513*T1^8*T2^10 - 5439*T1^9*T2^10 + 12437*T1^10*T2^10 - 
     7271*T1^11*T2^10 + 1656*T1^12*T2^10 - 326*T1^5*T2^11 + 1088*T1^6*T2^11 - 
     583*T1^7*T2^11 - 3404*T1^8*T2^11 + 7596*T1^9*T2^11 - 7271*T1^10*T2^11 + 
     3376*T1^11*T2^11 - 678*T1^12*T2^11 + 124*T1^6*T2^12 - 678*T1^7*T2^12 + 
     1656*T1^8*T2^12 - 2178*T1^9*T2^12 + 1656*T1^10*T2^12 - 678*T1^11*T2^12 + 
     124*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 164] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-5 + 30*T1 - 65*T1^2 + 85*T1^3 - 65*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
       157*T1*T2 + 252*T1^2*T2 - 211*T1^3*T2 - T1^4*T2 + 119*T1^5*T2 - 
       108*T1^6*T2 + 23*T1^7*T2 - 65*T2^2 + 252*T1*T2^2 - 54*T1^2*T2^2 - 
       483*T1^3*T2^2 + 1064*T1^4*T2^2 - 846*T1^5*T2^2 + 342*T1^6*T2^2 + 
       54*T1^7*T2^2 - 32*T1^8*T2^2 + 85*T2^3 - 211*T1*T2^3 - 483*T1^2*T2^3 + 
       1275*T1^3*T2^3 - 1558*T1^4*T2^3 + 360*T1^5*T2^3 + 466*T1^6*T2^3 - 
       618*T1^7*T2^3 + 90*T1^8*T2^3 + 17*T1^9*T2^3 - 65*T2^4 - T1*T2^4 + 
       1064*T1^2*T2^4 - 1558*T1^3*T2^4 + 1074*T1^4*T2^4 + 851*T1^5*T2^4 - 
       1253*T1^6*T2^4 + 703*T1^7*T2^4 + 253*T1^8*T2^4 - 138*T1^9*T2^4 + 
       6*T1^10*T2^4 + 30*T2^5 + 119*T1*T2^5 - 846*T1^2*T2^5 + 360*T1^3*T2^5 + 
       851*T1^4*T2^5 - 2319*T1^5*T2^5 + 1293*T1^6*T2^5 + 211*T1^7*T2^5 - 
       1037*T1^8*T2^5 + 308*T1^9*T2^5 + 30*T1^10*T2^5 - 11*T1^11*T2^5 - 
       5*T2^6 - 108*T1*T2^6 + 342*T1^2*T2^6 + 466*T1^3*T2^6 - 
       1253*T1^4*T2^6 + 1293*T1^5*T2^6 + 576*T1^6*T2^6 - 1741*T1^7*T2^6 + 
       1311*T1^8*T2^6 + 18*T1^9*T2^6 - 284*T1^10*T2^6 + 48*T1^11*T2^6 + 
       3*T1^12*T2^6 + 23*T1*T2^7 + 54*T1^2*T2^7 - 618*T1^3*T2^7 + 
       703*T1^4*T2^7 + 211*T1^5*T2^7 - 1741*T1^6*T2^7 + 1871*T1^7*T2^7 - 
       429*T1^8*T2^7 - 694*T1^9*T2^7 + 536*T1^10*T2^7 - 35*T1^11*T2^7 - 
       18*T1^12*T2^7 - 32*T1^2*T2^8 + 90*T1^3*T2^8 + 253*T1^4*T2^8 - 
       1037*T1^5*T2^8 + 1311*T1^6*T2^8 - 429*T1^7*T2^8 - 1016*T1^8*T2^8 + 
       1224*T1^9*T2^8 - 558*T1^10*T2^8 - 47*T1^11*T2^8 + 39*T1^12*T2^8 + 
       17*T1^3*T2^9 - 138*T1^4*T2^9 + 308*T1^5*T2^9 + 18*T1^6*T2^9 - 
       694*T1^7*T2^9 + 1224*T1^8*T2^9 - 791*T1^9*T2^9 + 173*T1^10*T2^9 + 
       163*T1^11*T2^9 - 51*T1^12*T2^9 + 6*T1^4*T2^10 + 30*T1^5*T2^10 - 
       284*T1^6*T2^10 + 536*T1^7*T2^10 - 558*T1^8*T2^10 + 173*T1^9*T2^10 + 
       112*T1^10*T2^10 - 168*T1^11*T2^10 + 39*T1^12*T2^10 - 11*T1^5*T2^11 + 
       48*T1^6*T2^11 - 35*T1^7*T2^11 - 47*T1^8*T2^11 + 163*T1^9*T2^11 - 
       168*T1^10*T2^11 + 97*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 
       18*T1^7*T2^12 + 39*T1^8*T2^12 - 51*T1^9*T2^12 + 39*T1^10*T2^12 - 
       18*T1^11*T2^12 + 3*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 165] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-39 + 213*T1 - 464*T1^2 + 599*T1^3 - 464*T1^4 + 213*T1^5 - 39*T1^6 + 
      213*T2 - 992*T1*T2 + 1609*T1^2*T2 - 1263*T1^3*T2 - 53*T1^4*T2 + 
      839*T1^5*T2 - 706*T1^6*T2 + 169*T1^7*T2 - 464*T2^2 + 1609*T1*T2^2 - 
      801*T1^2*T2^2 - 2256*T1^3*T2^2 + 5271*T1^4*T2^2 - 4176*T1^5*T2^2 + 
      1311*T1^6*T2^2 + 553*T1^7*T2^2 - 272*T1^8*T2^2 + 599*T2^3 - 
      1263*T1*T2^3 - 2256*T1^2*T2^3 + 6758*T1^3*T2^3 - 7310*T1^4*T2^3 + 
      700*T1^5*T2^3 + 3656*T1^6*T2^3 - 3288*T1^7*T2^3 + 255*T1^8*T2^3 + 
      227*T1^9*T2^3 - 464*T2^4 - 53*T1*T2^4 + 5271*T1^2*T2^4 - 
      7310*T1^3*T2^4 + 2321*T1^4*T2^4 + 7263*T1^5*T2^4 - 7095*T1^6*T2^4 + 
      1742*T1^7*T2^4 + 2377*T1^8*T2^4 - 801*T1^9*T2^4 - 80*T1^10*T2^4 + 
      213*T2^5 + 839*T1*T2^5 - 4176*T1^2*T2^5 + 700*T1^3*T2^5 + 
      7263*T1^4*T2^5 - 11740*T1^5*T2^5 + 2890*T1^6*T2^5 + 4719*T1^7*T2^5 - 
      5226*T1^8*T2^5 + 408*T1^9*T2^5 + 465*T1^10*T2^5 - 7*T1^11*T2^5 - 
      39*T2^6 - 706*T1*T2^6 + 1311*T1^2*T2^6 + 3656*T1^3*T2^6 - 
      7095*T1^4*T2^6 + 2890*T1^5*T2^6 + 8148*T1^6*T2^6 - 9766*T1^7*T2^6 + 
      3821*T1^8*T2^6 + 1856*T1^9*T2^6 - 1133*T1^10*T2^6 - 2*T1^11*T2^6 + 
      9*T1^12*T2^6 + 169*T1*T2^7 + 553*T1^2*T2^7 - 3288*T1^3*T2^7 + 
      1742*T1^4*T2^7 + 4719*T1^5*T2^7 - 9766*T1^6*T2^7 + 4864*T1^7*T2^7 + 
      2175*T1^8*T2^7 - 4184*T1^9*T2^7 + 1296*T1^10*T2^7 + 179*T1^11*T2^7 - 
      51*T1^12*T2^7 - 272*T1^2*T2^8 + 255*T1^3*T2^8 + 2377*T1^4*T2^8 - 
      5226*T1^5*T2^8 + 3821*T1^6*T2^8 + 2175*T1^7*T2^8 - 5595*T1^8*T2^8 + 
      3826*T1^9*T2^8 - 517*T1^10*T2^8 - 493*T1^11*T2^8 + 112*T1^12*T2^8 + 
      227*T1^3*T2^9 - 801*T1^4*T2^9 + 408*T1^5*T2^9 + 1856*T1^6*T2^9 - 
      4184*T1^7*T2^9 + 3826*T1^8*T2^9 - 1246*T1^9*T2^9 - 624*T1^10*T2^9 + 
      717*T1^11*T2^9 - 145*T1^12*T2^9 - 80*T1^4*T2^10 + 465*T1^5*T2^10 - 
      1133*T1^6*T2^10 + 1296*T1^7*T2^10 - 517*T1^8*T2^10 - 624*T1^9*T2^10 + 
      979*T1^10*T2^10 - 591*T1^11*T2^10 + 112*T1^12*T2^10 - 7*T1^5*T2^11 - 
      2*T1^6*T2^11 + 179*T1^7*T2^11 - 493*T1^8*T2^11 + 717*T1^9*T2^11 - 
      591*T1^10*T2^11 + 284*T1^11*T2^11 - 51*T1^12*T2^11 + 9*T1^6*T2^12 - 
      51*T1^7*T2^12 + 112*T1^8*T2^12 - 145*T1^9*T2^12 + 112*T1^10*T2^12 - 
      51*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 166] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-5 + 30*T1 - 65*T1^2 + 85*T1^3 - 65*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
       157*T1*T2 + 252*T1^2*T2 - 211*T1^3*T2 - T1^4*T2 + 119*T1^5*T2 - 
       108*T1^6*T2 + 23*T1^7*T2 - 65*T2^2 + 252*T1*T2^2 - 54*T1^2*T2^2 - 
       483*T1^3*T2^2 + 1064*T1^4*T2^2 - 846*T1^5*T2^2 + 342*T1^6*T2^2 + 
       54*T1^7*T2^2 - 32*T1^8*T2^2 + 85*T2^3 - 211*T1*T2^3 - 483*T1^2*T2^3 + 
       1275*T1^3*T2^3 - 1558*T1^4*T2^3 + 360*T1^5*T2^3 + 466*T1^6*T2^3 - 
       618*T1^7*T2^3 + 90*T1^8*T2^3 + 17*T1^9*T2^3 - 65*T2^4 - T1*T2^4 + 
       1064*T1^2*T2^4 - 1558*T1^3*T2^4 + 1074*T1^4*T2^4 + 851*T1^5*T2^4 - 
       1253*T1^6*T2^4 + 703*T1^7*T2^4 + 253*T1^8*T2^4 - 138*T1^9*T2^4 + 
       6*T1^10*T2^4 + 30*T2^5 + 119*T1*T2^5 - 846*T1^2*T2^5 + 360*T1^3*T2^5 + 
       851*T1^4*T2^5 - 2319*T1^5*T2^5 + 1293*T1^6*T2^5 + 211*T1^7*T2^5 - 
       1037*T1^8*T2^5 + 308*T1^9*T2^5 + 30*T1^10*T2^5 - 11*T1^11*T2^5 - 
       5*T2^6 - 108*T1*T2^6 + 342*T1^2*T2^6 + 466*T1^3*T2^6 - 
       1253*T1^4*T2^6 + 1293*T1^5*T2^6 + 576*T1^6*T2^6 - 1741*T1^7*T2^6 + 
       1311*T1^8*T2^6 + 18*T1^9*T2^6 - 284*T1^10*T2^6 + 48*T1^11*T2^6 + 
       3*T1^12*T2^6 + 23*T1*T2^7 + 54*T1^2*T2^7 - 618*T1^3*T2^7 + 
       703*T1^4*T2^7 + 211*T1^5*T2^7 - 1741*T1^6*T2^7 + 1871*T1^7*T2^7 - 
       429*T1^8*T2^7 - 694*T1^9*T2^7 + 536*T1^10*T2^7 - 35*T1^11*T2^7 - 
       18*T1^12*T2^7 - 32*T1^2*T2^8 + 90*T1^3*T2^8 + 253*T1^4*T2^8 - 
       1037*T1^5*T2^8 + 1311*T1^6*T2^8 - 429*T1^7*T2^8 - 1016*T1^8*T2^8 + 
       1224*T1^9*T2^8 - 558*T1^10*T2^8 - 47*T1^11*T2^8 + 39*T1^12*T2^8 + 
       17*T1^3*T2^9 - 138*T1^4*T2^9 + 308*T1^5*T2^9 + 18*T1^6*T2^9 - 
       694*T1^7*T2^9 + 1224*T1^8*T2^9 - 791*T1^9*T2^9 + 173*T1^10*T2^9 + 
       163*T1^11*T2^9 - 51*T1^12*T2^9 + 6*T1^4*T2^10 + 30*T1^5*T2^10 - 
       284*T1^6*T2^10 + 536*T1^7*T2^10 - 558*T1^8*T2^10 + 173*T1^9*T2^10 + 
       112*T1^10*T2^10 - 168*T1^11*T2^10 + 39*T1^12*T2^10 - 11*T1^5*T2^11 + 
       48*T1^6*T2^11 - 35*T1^7*T2^11 - 47*T1^8*T2^11 + 163*T1^9*T2^11 - 
       168*T1^10*T2^11 + 97*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 
       18*T1^7*T2^12 + 39*T1^8*T2^12 - 51*T1^9*T2^12 + 39*T1^10*T2^12 - 
       18*T1^11*T2^12 + 3*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 167] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 46*T1 - 85*T1^2 + 101*T1^3 - 85*T1^4 + 46*T1^5 - 15*T1^6 + 
      46*T2 - 126*T1*T2 + 214*T1^2*T2 - 224*T1^3*T2 + 160*T1^4*T2 - 
      58*T1^5*T2 + 2*T1^6*T2 + 14*T1^7*T2 - 85*T2^2 + 214*T1*T2^2 - 
      313*T1^2*T2^2 + 239*T1^3*T2^2 - 37*T1^4*T2^2 - 181*T1^5*T2^2 + 
      227*T1^6*T2^2 - 146*T1^7*T2^2 + 35*T1^8*T2^2 + 101*T2^3 - 224*T1*T2^3 + 
      239*T1^2*T2^3 - 64*T1^3*T2^3 - 177*T1^4*T2^3 + 263*T1^5*T2^3 - 
      68*T1^6*T2^3 - 169*T1^7*T2^3 + 216*T1^8*T2^3 - 107*T1^9*T2^3 - 
      85*T2^4 + 160*T1*T2^4 - 37*T1^2*T2^4 - 177*T1^3*T2^4 + 371*T1^4*T2^4 - 
      245*T1^5*T2^4 - 41*T1^6*T2^4 + 187*T1^7*T2^4 - 9*T1^8*T2^4 - 
      120*T1^9*T2^4 + 147*T1^10*T2^4 + 46*T2^5 - 58*T1*T2^5 - 181*T1^2*T2^5 + 
      263*T1^3*T2^5 - 245*T1^4*T2^5 - 188*T1^5*T2^5 + 400*T1^6*T2^5 - 
      319*T1^7*T2^5 - 101*T1^8*T2^5 + 135*T1^9*T2^5 - 98*T1^10*T2^5 - 
      114*T1^11*T2^5 - 15*T2^6 + 2*T1*T2^6 + 227*T1^2*T2^6 - 68*T1^3*T2^6 - 
      41*T1^4*T2^6 + 400*T1^5*T2^6 - 120*T1^6*T2^6 - 220*T1^7*T2^6 + 
      587*T1^8*T2^6 - 220*T1^9*T2^6 + 43*T1^10*T2^6 + 194*T1^11*T2^6 + 
      49*T1^12*T2^6 + 14*T1*T2^7 - 146*T1^2*T2^7 - 169*T1^3*T2^7 + 
      187*T1^4*T2^7 - 319*T1^5*T2^7 - 220*T1^6*T2^7 + 368*T1^7*T2^7 - 
      393*T1^8*T2^7 - 177*T1^9*T2^7 + 147*T1^10*T2^7 - 186*T1^11*T2^7 - 
      146*T1^12*T2^7 + 35*T1^2*T2^8 + 216*T1^3*T2^8 - 9*T1^4*T2^8 - 
      101*T1^5*T2^8 + 587*T1^6*T2^8 - 393*T1^7*T2^8 + 175*T1^8*T2^8 + 
      263*T1^9*T2^8 + 19*T1^10*T2^8 - 64*T1^11*T2^8 + 267*T1^12*T2^8 - 
      107*T1^3*T2^9 - 120*T1^4*T2^9 + 135*T1^5*T2^9 - 220*T1^6*T2^9 - 
      177*T1^7*T2^9 + 263*T1^8*T2^9 - 224*T1^9*T2^9 - 273*T1^10*T2^9 + 
      320*T1^11*T2^9 - 315*T1^12*T2^9 + 147*T1^4*T2^10 - 98*T1^5*T2^10 + 
      43*T1^6*T2^10 + 147*T1^7*T2^10 + 19*T1^8*T2^10 - 273*T1^9*T2^10 + 
      583*T1^10*T2^10 - 458*T1^11*T2^10 + 267*T1^12*T2^10 - 114*T1^5*T2^11 + 
      194*T1^6*T2^11 - 186*T1^7*T2^11 - 64*T1^8*T2^11 + 320*T1^9*T2^11 - 
      458*T1^10*T2^11 + 322*T1^11*T2^11 - 146*T1^12*T2^11 + 49*T1^6*T2^12 - 
      146*T1^7*T2^12 + 267*T1^8*T2^12 - 315*T1^9*T2^12 + 267*T1^10*T2^12 - 
      146*T1^11*T2^12 + 49*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 168] -> {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-45 + 167*T1 - 334*T1^2 + 411*T1^3 - 334*T1^4 + 167*T1^5 - 45*T1^6 + 
     167*T2 - 551*T1*T2 + 982*T1^2*T2 - 1011*T1^3*T2 + 606*T1^4*T2 - 
     107*T1^5*T2 - 89*T1^6*T2 + 68*T1^7*T2 - 334*T2^2 + 982*T1*T2^2 - 
     1456*T1^2*T2^2 + 934*T1^3*T2^2 + 278*T1^4*T2^2 - 1178*T1^5*T2^2 + 
     1052*T1^6*T2^2 - 470*T1^7*T2^2 + 62*T1^8*T2^2 + 411*T2^3 - 
     1011*T1*T2^3 + 934*T1^2*T2^3 + 435*T1^3*T2^3 - 1954*T1^4*T2^3 + 
     1885*T1^5*T2^3 - 261*T1^6*T2^3 - 1024*T1^7*T2^3 + 936*T1^8*T2^3 - 
     318*T1^9*T2^3 - 334*T2^4 + 606*T1*T2^4 + 278*T1^2*T2^4 - 
     1954*T1^3*T2^4 + 2700*T1^4*T2^4 - 712*T1^5*T2^4 - 1788*T1^6*T2^4 + 
     2204*T1^7*T2^4 - 448*T1^8*T2^4 - 516*T1^9*T2^4 + 458*T1^10*T2^4 + 
     167*T2^5 - 107*T1*T2^5 - 1178*T1^2*T2^5 + 1885*T1^3*T2^5 - 
     712*T1^4*T2^5 - 3079*T1^5*T2^5 + 4379*T1^6*T2^5 - 2164*T1^7*T2^5 - 
     1316*T1^8*T2^5 + 1396*T1^9*T2^5 - 470*T1^10*T2^5 - 328*T1^11*T2^5 - 
     45*T2^6 - 89*T1*T2^6 + 1052*T1^2*T2^6 - 261*T1^3*T2^6 - 1788*T1^4*T2^6 + 
     4379*T1^5*T2^6 - 1776*T1^6*T2^6 - 2507*T1^7*T2^6 + 4724*T1^8*T2^6 - 
     1719*T1^9*T2^6 - 180*T1^10*T2^6 + 769*T1^11*T2^6 + 117*T1^12*T2^6 + 
     68*T1*T2^7 - 470*T1^2*T2^7 - 1024*T1^3*T2^7 + 2204*T1^4*T2^7 - 
     2164*T1^5*T2^7 - 2507*T1^6*T2^7 + 4951*T1^7*T2^7 - 3616*T1^8*T2^7 - 
     997*T1^9*T2^7 + 1550*T1^10*T2^7 - 833*T1^11*T2^7 - 427*T1^12*T2^7 + 
     62*T1^2*T2^8 + 936*T1^3*T2^8 - 448*T1^4*T2^8 - 1316*T1^5*T2^8 + 
     4724*T1^6*T2^8 - 3616*T1^7*T2^8 + 236*T1^8*T2^8 + 2842*T1^9*T2^8 - 
     1174*T1^10*T2^8 - 186*T1^11*T2^8 + 854*T1^12*T2^8 - 318*T1^3*T2^9 - 
     516*T1^4*T2^9 + 1396*T1^5*T2^9 - 1719*T1^6*T2^9 - 997*T1^7*T2^9 + 
     2842*T1^8*T2^9 - 2415*T1^9*T2^9 - 562*T1^10*T2^9 + 1431*T1^11*T2^9 - 
     1047*T1^12*T2^9 + 458*T1^4*T2^10 - 470*T1^5*T2^10 - 180*T1^6*T2^10 + 
     1550*T1^7*T2^10 - 1174*T1^8*T2^10 - 562*T1^9*T2^10 + 2328*T1^10*T2^10 - 
     1922*T1^11*T2^10 + 854*T1^12*T2^10 - 328*T1^5*T2^11 + 769*T1^6*T2^11 - 
     833*T1^7*T2^11 - 186*T1^8*T2^11 + 1431*T1^9*T2^11 - 1922*T1^10*T2^11 + 
     1231*T1^11*T2^11 - 427*T1^12*T2^11 + 117*T1^6*T2^12 - 427*T1^7*T2^12 + 
     854*T1^8*T2^12 - 1047*T1^9*T2^12 + 854*T1^10*T2^12 - 427*T1^11*T2^12 + 
     117*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 169] -> {(2 - 3*T + 2*T^2)^2/T^2, 
   (2*(-46 + 138*T1 - 193*T1^2 + 138*T1^3 - 46*T1^4 + 138*T2 - 372*T1*T2 + 
      453*T1^2*T2 - 243*T1^3*T2 + 12*T1^4*T2 + 42*T1^5*T2 - 193*T2^2 + 
      453*T1*T2^2 - 322*T1^2*T2^2 - 225*T1^3*T2^2 + 562*T1^4*T2^2 - 
      363*T1^5*T2^2 + 79*T1^6*T2^2 + 138*T2^3 - 243*T1*T2^3 - 225*T1^2*T2^3 + 
      882*T1^3*T2^3 - 924*T1^4*T2^3 + 183*T1^5*T2^3 + 213*T1^6*T2^3 - 
      150*T1^7*T2^3 - 46*T2^4 + 12*T1*T2^4 + 562*T1^2*T2^4 - 924*T1^3*T2^4 + 
      480*T1^4*T2^4 + 564*T1^5*T2^4 - 622*T1^6*T2^4 + 204*T1^7*T2^4 + 
      82*T1^8*T2^4 + 42*T1*T2^5 - 363*T1^2*T2^5 + 183*T1^3*T2^5 + 
      564*T1^4*T2^5 - 1242*T1^5*T2^5 + 591*T1^6*T2^5 + 93*T1^7*T2^5 - 
      246*T1^8*T2^5 + 79*T1^2*T2^6 + 213*T1^3*T2^6 - 622*T1^4*T2^6 + 
      591*T1^5*T2^6 + 262*T1^6*T2^6 - 603*T1^7*T2^6 + 351*T1^8*T2^6 - 
      150*T1^3*T2^7 + 204*T1^4*T2^7 + 93*T1^5*T2^7 - 603*T1^6*T2^7 + 
      588*T1^7*T2^7 - 246*T1^8*T2^7 + 82*T1^4*T2^8 - 246*T1^5*T2^8 + 
      351*T1^6*T2^8 - 246*T1^7*T2^8 + 82*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 170] -> 
  {(3 - 18*T + 42*T^2 - 53*T^3 + 42*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (-111 + 666*T1 - 1550*T1^2 + 1951*T1^3 - 1550*T1^4 + 666*T1^5 - 111*T1^6 + 
     666*T2 - 3494*T1*T2 + 6285*T1^2*T2 - 4682*T1^3*T2 + 448*T1^4*T2 + 
     3045*T1^5*T2 - 2360*T1^6*T2 + 504*T1^7*T2 - 1550*T2^2 + 6285*T1*T2^2 - 
     4337*T1^2*T2^2 - 10186*T1^3*T2^2 + 20473*T1^4*T2^2 - 19006*T1^5*T2^2 + 
     5491*T1^6*T2^2 + 1749*T1^7*T2^2 - 794*T1^8*T2^2 + 1951*T2^3 - 
     4682*T1*T2^3 - 10186*T1^2*T2^3 + 36123*T1^3*T2^3 - 33409*T1^4*T2^3 + 
     9791*T1^5*T2^3 + 17475*T1^6*T2^3 - 14344*T1^7*T2^3 + 1636*T1^8*T2^3 + 
     520*T1^9*T2^3 - 1550*T2^4 + 448*T1*T2^4 + 20473*T1^2*T2^4 - 
     33409*T1^3*T2^4 - 2769*T1^4*T2^4 + 39957*T1^5*T2^4 - 49893*T1^6*T2^4 + 
     14291*T1^7*T2^4 + 7297*T1^8*T2^4 - 2900*T1^9*T2^4 - 38*T1^10*T2^4 + 
     666*T2^5 + 3045*T1*T2^5 - 19006*T1^2*T2^5 + 9791*T1^3*T2^5 + 
     39957*T1^4*T2^5 - 54464*T1^5*T2^5 + 26596*T1^6*T2^5 + 22065*T1^7*T2^5 - 
     24409*T1^8*T2^5 + 3800*T1^9*T2^5 + 1101*T1^10*T2^5 - 144*T1^11*T2^5 - 
     111*T2^6 - 2360*T1*T2^6 + 5491*T1^2*T2^6 + 17475*T1^3*T2^6 - 
     49893*T1^4*T2^6 + 26596*T1^5*T2^6 + 21012*T1^6*T2^6 - 47312*T1^7*T2^6 + 
     21279*T1^8*T2^6 + 5541*T1^9*T2^6 - 4985*T1^10*T2^6 + 556*T1^11*T2^6 + 
     51*T1^12*T2^6 + 504*T1*T2^7 + 1749*T1^2*T2^7 - 14344*T1^3*T2^7 + 
     14291*T1^4*T2^7 + 22065*T1^5*T2^7 - 47312*T1^6*T2^7 + 33748*T1^7*T2^7 + 
     4173*T1^8*T2^7 - 19909*T1^9*T2^7 + 8462*T1^10*T2^7 - 195*T1^11*T2^7 - 
     306*T1^12*T2^7 - 794*T1^2*T2^8 + 1636*T1^3*T2^8 + 7297*T1^4*T2^8 - 
     24409*T1^5*T2^8 + 21279*T1^6*T2^8 + 4173*T1^7*T2^8 - 25845*T1^8*T2^8 + 
     23291*T1^9*T2^8 - 5879*T1^10*T2^8 - 1712*T1^11*T2^8 + 718*T1^12*T2^8 + 
     520*T1^3*T2^9 - 2900*T1^4*T2^9 + 3800*T1^5*T2^9 + 5541*T1^6*T2^9 - 
     19909*T1^7*T2^9 + 23291*T1^8*T2^9 - 13107*T1^9*T2^9 - 358*T1^10*T2^9 + 
     3418*T1^11*T2^9 - 911*T1^12*T2^9 - 38*T1^4*T2^10 + 1101*T1^5*T2^10 - 
     4985*T1^6*T2^10 + 8462*T1^7*T2^10 - 5879*T1^8*T2^10 - 358*T1^9*T2^10 + 
     4843*T1^10*T2^10 - 3435*T1^11*T2^10 + 718*T1^12*T2^10 - 144*T1^5*T2^11 + 
     556*T1^6*T2^11 - 195*T1^7*T2^11 - 1712*T1^8*T2^11 + 3418*T1^9*T2^11 - 
     3435*T1^10*T2^11 + 1690*T1^11*T2^11 - 306*T1^12*T2^11 + 51*T1^6*T2^12 - 
     306*T1^7*T2^12 + 718*T1^8*T2^12 - 911*T1^9*T2^12 + 718*T1^10*T2^12 - 
     306*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 171] -> 
  {-((3 - 18*T + 46*T^2 - 63*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((-84 + 504*T1 - 1288*T1^2 + 1766*T1^3 - 1288*T1^4 + 504*T1^5 - 84*T1^6 + 
      504*T2 - 2684*T1*T2 + 5681*T1^2*T2 - 5354*T1^3*T2 + 532*T1^4*T2 + 
      2225*T1^5*T2 - 1550*T1^6*T2 + 342*T1^7*T2 - 1288*T2^2 + 5681*T1*T2^2 - 
      7923*T1^2*T2^2 - 1561*T1^3*T2^2 + 16257*T1^4*T2^2 - 13981*T1^5*T2^2 + 
      3945*T1^6*T2^2 + 713*T1^7*T2^2 - 460*T1^8*T2^2 + 1766*T2^3 - 
      5354*T1*T2^3 - 1561*T1^2*T2^3 + 26613*T1^3*T2^3 - 41164*T1^4*T2^3 + 
      12800*T1^5*T2^3 + 11043*T1^6*T2^3 - 10255*T1^7*T2^3 + 2368*T1^8*T2^3 + 
      65*T1^9*T2^3 - 1288*T2^4 + 532*T1*T2^4 + 16257*T1^2*T2^4 - 
      41164*T1^3*T2^4 + 26353*T1^4*T2^4 + 37253*T1^5*T2^4 - 51971*T1^6*T2^4 + 
      21584*T1^7*T2^4 + 825*T1^8*T2^4 - 2600*T1^9*T2^4 + 368*T1^10*T2^4 + 
      504*T2^5 + 2225*T1*T2^5 - 13981*T1^2*T2^5 + 12800*T1^3*T2^5 + 
      37253*T1^4*T2^5 - 98150*T1^5*T2^5 + 64426*T1^6*T2^5 + 3305*T1^7*T2^5 - 
      23596*T1^8*T2^5 + 9617*T1^9*T2^5 - 367*T1^10*T2^5 - 306*T1^11*T2^5 - 
      84*T2^6 - 1550*T1*T2^6 + 3945*T1^2*T2^6 + 11043*T1^3*T2^6 - 
      51971*T1^4*T2^6 + 64426*T1^5*T2^6 + 9240*T1^6*T2^6 - 71258*T1^7*T2^6 + 
      50841*T1^8*T2^6 - 8919*T1^9*T2^6 - 4203*T1^10*T2^6 + 1366*T1^11*T2^6 + 
      78*T1^12*T2^6 + 342*T1*T2^7 + 713*T1^2*T2^7 - 10255*T1^3*T2^7 + 
      21584*T1^4*T2^7 + 3305*T1^5*T2^7 - 71258*T1^6*T2^7 + 91318*T1^7*T2^7 - 
      30643*T1^8*T2^7 - 14812*T1^9*T2^7 + 13343*T1^10*T2^7 - 
      1879*T1^11*T2^7 - 468*T1^12*T2^7 - 460*T1^2*T2^8 + 2368*T1^3*T2^8 + 
      825*T1^4*T2^8 - 23596*T1^5*T2^8 + 50841*T1^6*T2^8 - 30643*T1^7*T2^8 - 
      27483*T1^8*T2^8 + 39152*T1^9*T2^8 - 14607*T1^10*T2^8 - 764*T1^11*T2^8 + 
      1196*T1^12*T2^8 + 65*T1^3*T2^9 - 2600*T1^4*T2^9 + 9617*T1^5*T2^9 - 
      8919*T1^6*T2^9 - 14812*T1^7*T2^9 + 39152*T1^8*T2^9 - 24489*T1^9*T2^9 + 
      923*T1^10*T2^9 + 5122*T1^11*T2^9 - 1636*T1^12*T2^9 + 368*T1^4*T2^10 - 
      367*T1^5*T2^10 - 4203*T1^6*T2^10 + 13343*T1^7*T2^10 - 
      14607*T1^8*T2^10 + 923*T1^9*T2^10 + 7665*T1^10*T2^10 - 
      5335*T1^11*T2^10 + 1196*T1^12*T2^10 - 306*T1^5*T2^11 + 
      1366*T1^6*T2^11 - 1879*T1^7*T2^11 - 764*T1^8*T2^11 + 5122*T1^9*T2^11 - 
      5335*T1^10*T2^11 + 2500*T1^11*T2^11 - 468*T1^12*T2^11 + 78*T1^6*T2^12 - 
      468*T1^7*T2^12 + 1196*T1^8*T2^12 - 1636*T1^9*T2^12 + 1196*T1^10*T2^12 - 
      468*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 172] -> 
  {(1 - 7*T + 18*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 18*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 50*T1^3 - 54*T1^4 + 50*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 224*T1^3*T2 + 203*T1^4*T2 - 
     161*T1^5*T2 + 77*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 300*T1^2*T2^2 + 276*T1^4*T2^2 - 448*T1^5*T2^2 + 
     600*T1^6*T2^2 - 648*T1^7*T2^2 + 312*T1^8*T2^2 - 49*T1^9*T2^2 + 50*T2^3 - 
     224*T1*T2^3 + 1027*T1^3*T2^3 - 1605*T1^4*T2^3 + 1692*T1^5*T2^3 - 
     1635*T1^6*T2^3 + 1263*T1^7*T2^3 - 173*T1^8*T2^3 - 342*T1^9*T2^3 + 
     175*T1^10*T2^3 - 25*T1^11*T2^3 - 54*T2^4 + 203*T1*T2^4 + 276*T1^2*T2^4 - 
     1605*T1^3*T2^4 + 1619*T1^4*T2^4 - 760*T1^5*T2^4 + 241*T1^6*T2^4 + 
     446*T1^7*T2^4 - 1873*T1^8*T2^4 + 1645*T1^9*T2^4 - 230*T1^10*T2^4 - 
     203*T1^11*T2^4 + 54*T1^12*T2^4 + 50*T2^5 - 161*T1*T2^5 - 448*T1^2*T2^5 + 
     1692*T1^3*T2^5 - 760*T1^4*T2^5 - 822*T1^5*T2^5 + 826*T1^6*T2^5 - 
     1318*T1^7*T2^5 + 2500*T1^8*T2^5 - 643*T1^9*T2^5 - 1789*T1^10*T2^5 + 
     821*T1^11*T2^5 + 147*T1^12*T2^5 - 75*T1^13*T2^5 - 36*T2^6 + 77*T1*T2^6 + 
     600*T1^2*T2^6 - 1635*T1^3*T2^6 + 241*T1^4*T2^6 + 826*T1^5*T2^6 + 
     340*T1^6*T2^6 + 690*T1^7*T2^6 - 1676*T1^8*T2^6 - 1170*T1^9*T2^6 + 
     2181*T1^10*T2^6 + 1461*T1^11*T2^6 - 1384*T1^12*T2^6 + 21*T1^13*T2^6 + 
     72*T1^14*T2^6 + 14*T2^7 + 28*T1*T2^7 - 648*T1^2*T2^7 + 1263*T1^3*T2^7 + 
     446*T1^4*T2^7 - 1318*T1^5*T2^7 + 690*T1^6*T2^7 - 3664*T1^7*T2^7 + 
     3928*T1^8*T2^7 - 687*T1^9*T2^7 + 1122*T1^10*T2^7 - 4027*T1^11*T2^7 - 
     77*T1^12*T2^7 + 1530*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 
     2*T2^8 - 35*T1*T2^8 + 312*T1^2*T2^8 - 173*T1^3*T2^8 - 1873*T1^4*T2^8 + 
     2500*T1^5*T2^8 - 1676*T1^6*T2^8 + 3928*T1^7*T2^8 - 684*T1^8*T2^8 - 
     3208*T1^9*T2^8 + 2314*T1^10*T2^8 - 912*T1^11*T2^8 + 5571*T1^12*T2^8 - 
     2903*T1^13*T2^8 - 306*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 
     7*T1*T2^9 - 49*T1^2*T2^9 - 342*T1^3*T2^9 + 1645*T1^4*T2^9 - 
     643*T1^5*T2^9 - 1170*T1^6*T2^9 - 687*T1^7*T2^9 - 3208*T1^8*T2^9 + 
     4384*T1^9*T2^9 - 2064*T1^10*T2^9 + 1270*T1^11*T2^9 - 5116*T1^12*T2^9 + 
     305*T1^13*T2^9 + 1836*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 
     175*T1^3*T2^10 - 230*T1^4*T2^10 - 1789*T1^5*T2^10 + 2181*T1^6*T2^10 + 
     1122*T1^7*T2^10 + 2314*T1^8*T2^10 - 2064*T1^9*T2^10 + 298*T1^10*T2^10 - 
     874*T1^11*T2^10 + 4121*T1^12*T2^10 + 1307*T1^13*T2^10 - 
     2214*T1^14*T2^10 + 119*T1^15*T2^10 + 108*T1^16*T2^10 - 25*T1^3*T2^11 - 
     203*T1^4*T2^11 + 821*T1^5*T2^11 + 1461*T1^6*T2^11 - 4027*T1^7*T2^11 - 
     912*T1^8*T2^11 + 1270*T1^9*T2^11 - 874*T1^10*T2^11 + 2410*T1^11*T2^11 - 
     3910*T1^12*T2^11 - 2020*T1^13*T2^11 + 2090*T1^14*T2^11 + 
     105*T1^15*T2^11 - 150*T1^16*T2^11 + 54*T1^4*T2^12 + 147*T1^5*T2^12 - 
     1384*T1^6*T2^12 - 77*T1^7*T2^12 + 5571*T1^8*T2^12 - 5116*T1^9*T2^12 + 
     4121*T1^10*T2^12 - 3910*T1^11*T2^12 + 2079*T1^12*T2^12 + 
     3173*T1^13*T2^12 - 1890*T1^14*T2^12 - 259*T1^15*T2^12 + 
     162*T1^16*T2^12 - 75*T1^5*T2^13 + 21*T1^6*T2^13 + 1530*T1^7*T2^13 - 
     2903*T1^8*T2^13 + 305*T1^9*T2^13 + 1307*T1^10*T2^13 - 2020*T1^11*T2^13 + 
     3173*T1^12*T2^13 - 4103*T1^13*T2^13 + 1188*T1^14*T2^13 + 
     420*T1^15*T2^13 - 150*T1^16*T2^13 + 72*T1^6*T2^14 - 259*T1^7*T2^14 - 
     306*T1^8*T2^14 + 1836*T1^9*T2^14 - 2214*T1^10*T2^14 + 2090*T1^11*T2^14 - 
     1890*T1^12*T2^14 + 1188*T1^13*T2^14 + 306*T1^14*T2^14 - 
     511*T1^15*T2^14 + 108*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 
     336*T1^9*T2^15 + 119*T1^10*T2^15 + 105*T1^11*T2^15 - 259*T1^12*T2^15 + 
     420*T1^13*T2^15 - 511*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 
     6*T1^8*T2^16 - 42*T1^9*T2^16 + 108*T1^10*T2^16 - 150*T1^11*T2^16 + 
     162*T1^12*T2^16 - 150*T1^13*T2^16 + 108*T1^14*T2^16 - 42*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 173] -> 
  {((1 - 3*T + 4*T^2 - 4*T^3 + T^4)*(1 - 4*T + 4*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 140*T1^3 - 172*T1^4 + 140*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 560*T1^3*T2 + 
     469*T1^4*T2 - 77*T1^5*T2 - 175*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 606*T1^2*T2^2 + 118*T1^3*T2^2 + 
     950*T1^4*T2^2 - 2180*T1^5*T2^2 + 1870*T1^6*T2^2 - 1002*T1^7*T2^2 + 
     154*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 140*T2^3 - 560*T1*T2^3 + 
     118*T1^2*T2^3 + 1653*T1^3*T2^3 - 3439*T1^4*T2^3 + 4130*T1^5*T2^3 - 
     1015*T1^6*T2^3 - 989*T1^7*T2^3 + 1653*T1^8*T2^3 - 862*T1^9*T2^3 + 
     35*T1^10*T2^3 + 35*T1^11*T2^3 - 172*T2^4 + 469*T1*T2^4 + 950*T1^2*T2^4 - 
     3439*T1^3*T2^4 + 4082*T1^4*T2^4 - 2244*T1^5*T2^4 - 4040*T1^6*T2^4 + 
     4210*T1^7*T2^4 - 2414*T1^8*T2^4 - 149*T1^9*T2^4 + 960*T1^10*T2^4 - 
     245*T1^11*T2^4 + 140*T2^5 - 77*T1*T2^5 - 2180*T1^2*T2^5 + 
     4130*T1^3*T2^5 - 2244*T1^4*T2^5 - 1766*T1^5*T2^5 + 7623*T1^6*T2^5 - 
     2037*T1^7*T2^5 - 2116*T1^8*T2^5 + 3839*T1^9*T2^5 - 2205*T1^10*T2^5 - 
     59*T1^11*T2^5 + 245*T1^12*T2^5 - 35*T1^13*T2^5 - 80*T2^6 - 175*T1*T2^6 + 
     1870*T1^2*T2^6 - 1015*T1^3*T2^6 - 4040*T1^4*T2^6 + 7623*T1^5*T2^6 - 
     8029*T1^6*T2^6 - 3585*T1^7*T2^6 + 6371*T1^8*T2^6 - 3577*T1^9*T2^6 - 
     500*T1^10*T2^6 + 2345*T1^11*T2^6 - 870*T1^12*T2^6 - 35*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 1002*T1^2*T2^7 - 989*T1^3*T2^7 + 
     4210*T1^4*T2^7 - 2037*T1^5*T2^7 - 3585*T1^6*T2^7 + 12942*T1^7*T2^7 - 
     7456*T1^8*T2^7 - 1590*T1^9*T2^7 + 4543*T1^10*T2^7 - 3357*T1^11*T2^7 - 
     79*T1^12*T2^7 + 818*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 154*T1^2*T2^8 + 1653*T1^3*T2^8 - 2414*T1^4*T2^8 - 
     2116*T1^5*T2^8 + 6371*T1^6*T2^8 - 7456*T1^7*T2^8 - 2448*T1^8*T2^8 + 
     9624*T1^9*T2^8 - 5159*T1^10*T2^8 + 796*T1^11*T2^8 + 2490*T1^12*T2^8 - 
     1497*T1^13*T2^8 - 144*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 862*T1^3*T2^9 - 149*T1^4*T2^9 + 
     3839*T1^5*T2^9 - 3577*T1^6*T2^9 - 1590*T1^7*T2^9 + 9624*T1^8*T2^9 - 
     10774*T1^9*T2^9 + 405*T1^10*T2^9 + 3003*T1^11*T2^9 - 3728*T1^12*T2^9 + 
     761*T1^13*T2^9 + 958*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 35*T1^3*T2^10 + 960*T1^4*T2^10 - 2205*T1^5*T2^10 - 
     500*T1^6*T2^10 + 4543*T1^7*T2^10 - 5159*T1^8*T2^10 + 405*T1^9*T2^10 + 
     9241*T1^10*T2^10 - 6657*T1^11*T2^10 + 3040*T1^12*T2^10 + 
     1155*T1^13*T2^10 - 1780*T1^14*T2^10 + 175*T1^15*T2^10 + 80*T1^16*T2^10 + 
     35*T1^3*T2^11 - 245*T1^4*T2^11 - 59*T1^5*T2^11 + 2345*T1^6*T2^11 - 
     3357*T1^7*T2^11 + 796*T1^8*T2^11 + 3003*T1^9*T2^11 - 6657*T1^10*T2^11 + 
     446*T1^11*T2^11 + 2726*T1^12*T2^11 - 3990*T1^13*T2^11 + 
     2062*T1^14*T2^11 + 77*T1^15*T2^11 - 140*T1^16*T2^11 + 245*T1^5*T2^12 - 
     870*T1^6*T2^12 - 79*T1^7*T2^12 + 2490*T1^8*T2^12 - 3728*T1^9*T2^12 + 
     3040*T1^10*T2^12 + 2726*T1^11*T2^12 - 4006*T1^12*T2^12 + 
     3211*T1^13*T2^12 - 860*T1^14*T2^12 - 469*T1^15*T2^12 + 172*T1^16*T2^12 - 
     35*T1^5*T2^13 - 35*T1^6*T2^13 + 818*T1^7*T2^13 - 1497*T1^8*T2^13 + 
     761*T1^9*T2^13 + 1155*T1^10*T2^13 - 3990*T1^11*T2^13 + 
     3211*T1^12*T2^13 - 1497*T1^13*T2^13 - 162*T1^14*T2^13 + 
     560*T1^15*T2^13 - 140*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 
     144*T1^8*T2^14 + 958*T1^9*T2^14 - 1780*T1^10*T2^14 + 2062*T1^11*T2^14 - 
     860*T1^12*T2^14 - 162*T1^13*T2^14 + 616*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     175*T1^10*T2^15 + 77*T1^11*T2^15 - 469*T1^12*T2^15 + 560*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 140*T1^11*T2^16 + 172*T1^12*T2^16 - 
     140*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 174] -> 
  {-((1 - 7*T + 20*T^2 - 35*T^3 + 41*T^4 - 35*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 60*T1^2 + 105*T1^3 - 123*T1^4 + 105*T1^5 - 
      60*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 
      455*T1^3*T2 + 371*T1^4*T2 - 161*T1^5*T2 - 70*T1^6*T2 + 133*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 
      262*T1^3*T2^2 + 603*T1^4*T2^2 - 1255*T1^5*T2^2 + 1443*T1^6*T2^2 - 
      858*T1^7*T2^2 + 231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 
      105*T2^3 - 455*T1*T2^3 + 262*T1^2*T2^3 + 979*T1^3*T2^3 - 
      2715*T1^4*T2^3 + 2893*T1^5*T2^3 - 1972*T1^6*T2^3 - 55*T1^7*T2^3 + 
      979*T1^8*T2^3 - 718*T1^9*T2^3 + 140*T1^10*T2^3 - 123*T2^4 + 
      371*T1*T2^4 + 603*T1^2*T2^4 - 2715*T1^3*T2^4 + 4182*T1^4*T2^4 - 
      2263*T1^5*T2^4 - 432*T1^6*T2^4 + 3435*T1^7*T2^4 - 2978*T1^8*T2^4 + 
      855*T1^9*T2^4 + 453*T1^10*T2^4 - 287*T1^11*T2^4 + 41*T1^12*T2^4 + 
      105*T2^5 - 161*T1*T2^5 - 1255*T1^2*T2^5 + 2893*T1^3*T2^5 - 
      2263*T1^4*T2^5 - 2142*T1^5*T2^5 + 4857*T1^6*T2^5 - 5713*T1^7*T2^5 + 
      1330*T1^8*T2^5 + 2658*T1^9*T2^5 - 2602*T1^10*T2^5 + 572*T1^11*T2^5 + 
      203*T1^12*T2^5 - 70*T1^13*T2^5 - 60*T2^6 - 70*T1*T2^6 + 
      1443*T1^2*T2^6 - 1972*T1^3*T2^6 - 432*T1^4*T2^6 + 4857*T1^5*T2^6 - 
      4786*T1^6*T2^6 + 1814*T1^7*T2^6 + 4494*T1^8*T2^6 - 6063*T1^9*T2^6 + 
      1348*T1^10*T2^6 + 1948*T1^11*T2^6 - 1377*T1^12*T2^6 + 70*T1^13*T2^6 + 
      60*T1^14*T2^6 + 21*T2^7 + 133*T1*T2^7 - 858*T1^2*T2^7 - 55*T1^3*T2^7 + 
      3435*T1^4*T2^7 - 5713*T1^5*T2^7 + 1814*T1^6*T2^7 + 4092*T1^7*T2^7 - 
      7976*T1^8*T2^7 + 4159*T1^9*T2^7 + 4157*T1^10*T2^7 - 4594*T1^11*T2^7 + 
      925*T1^12*T2^7 + 962*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 231*T1^2*T2^8 + 979*T1^3*T2^8 - 2978*T1^4*T2^8 + 
      1330*T1^5*T2^8 + 4494*T1^6*T2^8 - 7976*T1^7*T2^8 + 3876*T1^8*T2^8 + 
      4204*T1^9*T2^8 - 10236*T1^10*T2^8 + 3654*T1^11*T2^8 + 1910*T1^12*T2^8 - 
      2171*T1^13*T2^8 - 67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 718*T1^3*T2^9 + 855*T1^4*T2^9 + 
      2658*T1^5*T2^9 - 6063*T1^6*T2^9 + 4159*T1^7*T2^9 + 4204*T1^8*T2^9 - 
      7864*T1^9*T2^9 + 6504*T1^10*T2^9 + 3807*T1^11*T2^9 - 5371*T1^12*T2^9 + 
      1835*T1^13*T2^9 + 1102*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 
      20*T1^2*T2^10 + 140*T1^3*T2^10 + 453*T1^4*T2^10 - 2602*T1^5*T2^10 + 
      1348*T1^6*T2^10 + 4157*T1^7*T2^10 - 10236*T1^8*T2^10 + 
      6504*T1^9*T2^10 - 956*T1^10*T2^10 - 6763*T1^11*T2^10 + 
      3128*T1^12*T2^10 + 1318*T1^13*T2^10 - 2367*T1^14*T2^10 + 
      280*T1^15*T2^10 + 100*T1^16*T2^10 - 287*T1^4*T2^11 + 572*T1^5*T2^11 + 
      1948*T1^6*T2^11 - 4594*T1^7*T2^11 + 3654*T1^8*T2^11 + 3807*T1^9*T2^11 - 
      6763*T1^10*T2^11 + 7126*T1^11*T2^11 + 327*T1^12*T2^11 - 
      3547*T1^13*T2^11 + 2399*T1^14*T2^11 + 77*T1^15*T2^11 - 
      175*T1^16*T2^11 + 41*T1^4*T2^12 + 203*T1^5*T2^12 - 1377*T1^6*T2^12 + 
      925*T1^7*T2^12 + 1910*T1^8*T2^12 - 5371*T1^9*T2^12 + 3128*T1^10*T2^12 + 
      327*T1^11*T2^12 - 5250*T1^12*T2^12 + 4495*T1^13*T2^12 - 
      1527*T1^14*T2^12 - 455*T1^15*T2^12 + 205*T1^16*T2^12 - 70*T1^5*T2^13 + 
      70*T1^6*T2^13 + 962*T1^7*T2^13 - 2171*T1^8*T2^13 + 1835*T1^9*T2^13 + 
      1318*T1^10*T2^13 - 3547*T1^11*T2^13 + 4495*T1^12*T2^13 - 
      2171*T1^13*T2^13 - 18*T1^14*T2^13 + 665*T1^15*T2^13 - 175*T1^16*T2^13 + 
      60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 1102*T1^9*T2^14 - 
      2367*T1^10*T2^14 + 2399*T1^11*T2^14 - 1527*T1^12*T2^14 - 
      18*T1^13*T2^14 + 693*T1^14*T2^14 - 504*T1^15*T2^14 + 100*T1^16*T2^14 - 
      28*T1^7*T2^15 + 161*T1^8*T2^15 - 315*T1^9*T2^15 + 280*T1^10*T2^15 + 
      77*T1^11*T2^15 - 455*T1^12*T2^15 + 665*T1^13*T2^15 - 504*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      100*T1^10*T2^16 - 175*T1^11*T2^16 + 205*T1^12*T2^16 - 175*T1^13*T2^16 + 
      100*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 175] -> 
  {(2 - 16*T + 44*T^2 - 59*T^3 + 44*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-15 + 121*T1 - 336*T1^2 + 453*T1^3 - 336*T1^4 + 121*T1^5 - 15*T1^6 + 
     121*T2 - 918*T1*T2 + 2241*T1^2*T2 - 2347*T1^3*T2 + 949*T1^4*T2 + 
     321*T1^5*T2 - 342*T1^6*T2 + 57*T1^7*T2 - 336*T2^2 + 2241*T1*T2^2 - 
     3688*T1^2*T2^2 - 628*T1^3*T2^2 + 7104*T1^4*T2^2 - 8196*T1^5*T2^2 + 
     3704*T1^6*T2^2 - 575*T1^7*T2^2 + 16*T1^8*T2^2 + 453*T2^3 - 
     2347*T1*T2^3 - 628*T1^2*T2^3 + 16450*T1^3*T2^3 - 29246*T1^4*T2^3 + 
     22026*T1^5*T2^3 - 4196*T1^6*T2^3 - 3532*T1^7*T2^3 + 1909*T1^8*T2^3 - 
     255*T1^9*T2^3 - 336*T2^4 + 949*T1*T2^4 + 7104*T1^2*T2^4 - 
     29246*T1^3*T2^4 + 33638*T1^4*T2^4 - 246*T1^5*T2^4 - 32762*T1^6*T2^4 + 
     29282*T1^7*T2^4 - 7616*T1^8*T2^4 - 907*T1^9*T2^4 + 368*T1^10*T2^4 + 
     121*T2^5 + 321*T1*T2^5 - 8196*T1^2*T2^5 + 22026*T1^3*T2^5 - 
     246*T1^4*T2^5 - 61934*T1^5*T2^5 + 81614*T1^6*T2^5 - 34214*T1^7*T2^5 - 
     14734*T1^8*T2^5 + 13364*T1^9*T2^5 - 1343*T1^10*T2^5 - 199*T1^11*T2^5 - 
     15*T2^6 - 342*T1*T2^6 + 3704*T1^2*T2^6 - 4196*T1^3*T2^6 - 
     32762*T1^4*T2^6 + 81614*T1^5*T2^6 - 43368*T1^6*T2^6 - 42258*T1^7*T2^6 + 
     70502*T1^8*T2^6 - 22508*T1^9*T2^6 - 3880*T1^10*T2^6 + 1322*T1^11*T2^6 + 
     33*T1^12*T2^6 + 57*T1*T2^7 - 575*T1^2*T2^7 - 3532*T1^3*T2^7 + 
     29282*T1^4*T2^7 - 34214*T1^5*T2^7 - 42258*T1^6*T2^7 + 101290*T1^7*T2^7 - 
     68182*T1^8*T2^7 - 7478*T1^9*T2^7 + 18028*T1^10*T2^7 - 2239*T1^11*T2^7 - 
     263*T1^12*T2^7 + 16*T1^2*T2^8 + 1909*T1^3*T2^8 - 7616*T1^4*T2^8 - 
     14734*T1^5*T2^8 + 70502*T1^6*T2^8 - 68182*T1^7*T2^8 + 4102*T1^8*T2^8 + 
     43794*T1^9*T2^8 - 22336*T1^10*T2^8 + 53*T1^11*T2^8 + 720*T1^12*T2^8 - 
     255*T1^3*T2^9 - 907*T1^4*T2^9 + 13364*T1^5*T2^9 - 22508*T1^6*T2^9 - 
     7478*T1^7*T2^9 + 43794*T1^8*T2^9 - 43154*T1^9*T2^9 + 10460*T1^10*T2^9 + 
     3349*T1^11*T2^9 - 963*T1^12*T2^9 + 368*T1^4*T2^10 - 1343*T1^5*T2^10 - 
     3880*T1^6*T2^10 + 18028*T1^7*T2^10 - 22336*T1^8*T2^10 + 
     10460*T1^9*T2^10 + 3512*T1^10*T2^10 - 4159*T1^11*T2^10 + 
     720*T1^12*T2^10 - 199*T1^5*T2^11 + 1322*T1^6*T2^11 - 2239*T1^7*T2^11 + 
     53*T1^8*T2^11 + 3349*T1^9*T2^11 - 4159*T1^10*T2^11 + 1898*T1^11*T2^11 - 
     263*T1^12*T2^11 + 33*T1^6*T2^12 - 263*T1^7*T2^12 + 720*T1^8*T2^12 - 
     963*T1^9*T2^12 + 720*T1^10*T2^12 - 263*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 176] -> 
  {(2 - 13*T + 31*T^2 - 39*T^3 + 31*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-17 + 111*T1 - 266*T1^2 + 335*T1^3 - 266*T1^4 + 111*T1^5 - 17*T1^6 + 
     111*T2 - 666*T1*T2 + 1351*T1^2*T2 - 1257*T1^3*T2 + 563*T1^4*T2 + 
     207*T1^5*T2 - 276*T1^6*T2 + 59*T1^7*T2 - 266*T2^2 + 1351*T1*T2^2 - 
     1613*T1^2*T2^2 - 850*T1^3*T2^2 + 3353*T1^4*T2^2 - 4074*T1^5*T2^2 + 
     1983*T1^6*T2^2 - 261*T1^7*T2^2 - 18*T1^8*T2^2 + 335*T2^3 - 
     1257*T1*T2^3 - 850*T1^2*T2^3 + 7311*T1^3*T2^3 - 10242*T1^4*T2^3 + 
     7672*T1^5*T2^3 - 827*T1^6*T2^3 - 2059*T1^7*T2^3 + 979*T1^8*T2^3 - 
     133*T1^9*T2^3 - 266*T2^4 + 563*T1*T2^4 + 3353*T1^2*T2^4 - 
     10242*T1^3*T2^4 + 8092*T1^4*T2^4 + 1390*T1^5*T2^4 - 11080*T1^6*T2^4 + 
     9492*T1^7*T2^4 - 2141*T1^8*T2^4 - 633*T1^9*T2^4 + 230*T1^10*T2^4 + 
     111*T2^5 + 207*T1*T2^5 - 4074*T1^2*T2^5 + 7672*T1^3*T2^5 + 
     1390*T1^4*T2^5 - 14864*T1^5*T2^5 + 18520*T1^6*T2^5 - 6267*T1^7*T2^5 - 
     6602*T1^8*T2^5 + 5195*T1^9*T2^5 - 521*T1^10*T2^5 - 149*T1^11*T2^5 - 
     17*T2^6 - 276*T1*T2^6 + 1983*T1^2*T2^6 - 827*T1^3*T2^6 - 
     11080*T1^4*T2^6 + 18520*T1^5*T2^6 - 6924*T1^6*T2^6 - 12160*T1^7*T2^6 + 
     19038*T1^8*T2^6 - 5793*T1^9*T2^6 - 2217*T1^10*T2^6 + 764*T1^11*T2^6 + 
     31*T1^12*T2^6 + 59*T1*T2^7 - 261*T1^2*T2^7 - 2059*T1^3*T2^7 + 
     9492*T1^4*T2^7 - 6267*T1^5*T2^7 - 12160*T1^6*T2^7 + 21224*T1^7*T2^7 - 
     13924*T1^8*T2^7 - 4782*T1^9*T2^7 + 7210*T1^10*T2^7 - 989*T1^11*T2^7 - 
     201*T1^12*T2^7 - 18*T1^2*T2^8 + 979*T1^3*T2^8 - 2141*T1^4*T2^8 - 
     6602*T1^5*T2^8 + 19038*T1^6*T2^8 - 13924*T1^7*T2^8 - 134*T1^8*T2^8 + 
     13132*T1^9*T2^8 - 7635*T1^10*T2^8 - 217*T1^11*T2^8 + 478*T1^12*T2^8 - 
     133*T1^3*T2^9 - 633*T1^4*T2^9 + 5195*T1^5*T2^9 - 5793*T1^6*T2^9 - 
     4782*T1^7*T2^9 + 13132*T1^8*T2^9 - 13931*T1^9*T2^9 + 3986*T1^10*T2^9 + 
     1603*T1^11*T2^9 - 601*T1^12*T2^9 + 230*T1^4*T2^10 - 521*T1^5*T2^10 - 
     2217*T1^6*T2^10 + 7210*T1^7*T2^10 - 7635*T1^8*T2^10 + 3986*T1^9*T2^10 + 
     1379*T1^10*T2^10 - 2133*T1^11*T2^10 + 478*T1^12*T2^10 - 149*T1^5*T2^11 + 
     764*T1^6*T2^11 - 989*T1^7*T2^11 - 217*T1^8*T2^11 + 1603*T1^9*T2^11 - 
     2133*T1^10*T2^11 + 1154*T1^11*T2^11 - 201*T1^12*T2^11 + 31*T1^6*T2^12 - 
     201*T1^7*T2^12 + 478*T1^8*T2^12 - 601*T1^9*T2^12 + 478*T1^10*T2^12 - 
     201*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 177] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-15 + 113*T1 - 310*T1^2 + 417*T1^3 - 310*T1^4 + 113*T1^5 - 15*T1^6 + 
     113*T2 - 798*T1*T2 + 1933*T1^2*T2 - 2035*T1^3*T2 + 845*T1^4*T2 + 
     253*T1^5*T2 - 288*T1^6*T2 + 53*T1^7*T2 - 310*T2^2 + 1933*T1*T2^2 - 
     3304*T1^2*T2^2 - 50*T1^3*T2^2 + 5438*T1^4*T2^2 - 6610*T1^5*T2^2 + 
     3092*T1^6*T2^2 - 527*T1^7*T2^2 + 18*T1^8*T2^2 + 417*T2^3 - 
     2035*T1*T2^3 - 50*T1^2*T2^3 + 12573*T1^3*T2^3 - 23071*T1^4*T2^3 + 
     17489*T1^5*T2^3 - 3057*T1^6*T2^3 - 3125*T1^7*T2^3 + 1685*T1^8*T2^3 - 
     243*T1^9*T2^3 - 310*T2^4 + 845*T1*T2^4 + 5438*T1^2*T2^4 - 
     23071*T1^3*T2^4 + 26745*T1^4*T2^4 - 79*T1^5*T2^4 - 26463*T1^6*T2^4 + 
     23239*T1^7*T2^4 - 5864*T1^8*T2^4 - 775*T1^9*T2^4 + 346*T1^10*T2^4 + 
     113*T2^5 + 253*T1*T2^5 - 6610*T1^2*T2^5 + 17489*T1^3*T2^5 - 
     79*T1^4*T2^5 - 49804*T1^5*T2^5 + 65906*T1^6*T2^5 - 27344*T1^7*T2^5 - 
     11571*T1^8*T2^5 + 10405*T1^9*T2^5 - 1187*T1^10*T2^5 - 187*T1^11*T2^5 - 
     15*T2^6 - 288*T1*T2^6 + 3092*T1^2*T2^6 - 3057*T1^3*T2^6 - 
     26463*T1^4*T2^6 + 65906*T1^5*T2^6 - 35712*T1^6*T2^6 - 33834*T1^7*T2^6 + 
     56139*T1^8*T2^6 - 17907*T1^9*T2^6 - 2700*T1^10*T2^6 + 1152*T1^11*T2^6 + 
     33*T1^12*T2^6 + 53*T1*T2^7 - 527*T1^2*T2^7 - 3125*T1^3*T2^7 + 
     23239*T1^4*T2^7 - 27344*T1^5*T2^7 - 33834*T1^6*T2^7 + 81876*T1^7*T2^7 - 
     54609*T1^8*T2^7 - 5821*T1^9*T2^7 + 13890*T1^10*T2^7 - 1967*T1^11*T2^7 - 
     247*T1^12*T2^7 + 18*T1^2*T2^8 + 1685*T1^3*T2^8 - 5864*T1^4*T2^8 - 
     11571*T1^5*T2^8 + 56139*T1^6*T2^8 - 54609*T1^7*T2^8 + 2931*T1^8*T2^8 + 
     34739*T1^9*T2^8 - 17166*T1^10*T2^8 + 65*T1^11*T2^8 + 674*T1^12*T2^8 - 
     243*T1^3*T2^9 - 775*T1^4*T2^9 + 10405*T1^5*T2^9 - 17907*T1^6*T2^9 - 
     5821*T1^7*T2^9 + 34739*T1^8*T2^9 - 33537*T1^9*T2^9 + 7330*T1^10*T2^9 + 
     2945*T1^11*T2^9 - 903*T1^12*T2^9 + 346*T1^4*T2^10 - 1187*T1^5*T2^10 - 
     2700*T1^6*T2^10 + 13890*T1^7*T2^10 - 17166*T1^8*T2^10 + 
     7330*T1^9*T2^10 + 3696*T1^10*T2^10 - 3647*T1^11*T2^10 + 
     674*T1^12*T2^10 - 187*T1^5*T2^11 + 1152*T1^6*T2^11 - 1967*T1^7*T2^11 + 
     65*T1^8*T2^11 + 2945*T1^9*T2^11 - 3647*T1^10*T2^11 + 1662*T1^11*T2^11 - 
     247*T1^12*T2^11 + 33*T1^6*T2^12 - 247*T1^7*T2^12 + 674*T1^8*T2^12 - 
     903*T1^9*T2^12 + 674*T1^10*T2^12 - 247*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 178] -> 
  {(3 - 16*T + 32*T^2 - 37*T^3 + 32*T^4 - 16*T^5 + 3*T^6)/T^3, 
   (-57 + 308*T1 - 620*T1^2 + 717*T1^3 - 620*T1^4 + 308*T1^5 - 57*T1^6 + 
     308*T2 - 1500*T1*T2 + 2453*T1^2*T2 - 2060*T1^3*T2 + 1252*T1^4*T2 + 
     149*T1^5*T2 - 588*T1^6*T2 + 164*T1^7*T2 - 620*T2^2 + 2453*T1*T2^2 - 
     1904*T1^2*T2^2 - 1730*T1^3*T2^2 + 3934*T1^4*T2^2 - 5762*T1^5*T2^2 + 
     3664*T1^6*T2^2 - 619*T1^7*T2^2 - 44*T1^8*T2^2 + 717*T2^3 - 
     2060*T1*T2^3 - 1730*T1^2*T2^3 + 8507*T1^3*T2^3 - 9794*T1^4*T2^3 + 
     9550*T1^5*T2^3 - 2749*T1^6*T2^3 - 2658*T1^7*T2^3 + 1732*T1^8*T2^3 - 
     282*T1^9*T2^3 - 620*T2^4 + 1252*T1*T2^4 + 3934*T1^2*T2^4 - 
     9794*T1^3*T2^4 + 6812*T1^4*T2^4 - 2938*T1^5*T2^4 - 6916*T1^6*T2^4 + 
     10334*T1^7*T2^4 - 2722*T1^8*T2^4 - 1340*T1^9*T2^4 + 532*T1^10*T2^4 + 
     308*T2^5 + 149*T1*T2^5 - 5762*T1^2*T2^5 + 9550*T1^3*T2^5 - 
     2938*T1^4*T2^5 - 2688*T1^5*T2^5 + 9840*T1^6*T2^5 - 6010*T1^7*T2^5 - 
     8226*T1^8*T2^5 + 7582*T1^9*T2^5 - 619*T1^10*T2^5 - 412*T1^11*T2^5 - 
     57*T2^6 - 588*T1*T2^6 + 3664*T1^2*T2^6 - 2749*T1^3*T2^6 - 
     6916*T1^4*T2^6 + 9840*T1^5*T2^6 - 6384*T1^6*T2^6 - 4336*T1^7*T2^6 + 
     16316*T1^8*T2^6 - 4747*T1^9*T2^6 - 4848*T1^10*T2^6 + 1620*T1^11*T2^6 + 
     105*T1^12*T2^6 + 164*T1*T2^7 - 619*T1^2*T2^7 - 2658*T1^3*T2^7 + 
     10334*T1^4*T2^7 - 6010*T1^5*T2^7 - 4336*T1^6*T2^7 + 8192*T1^7*T2^7 - 
     9082*T1^8*T2^7 - 7442*T1^9*T2^7 + 10686*T1^10*T2^7 - 1387*T1^11*T2^7 - 
     556*T1^12*T2^7 - 44*T1^2*T2^8 + 1732*T1^3*T2^8 - 2722*T1^4*T2^8 - 
     8226*T1^5*T2^8 + 16316*T1^6*T2^8 - 9082*T1^7*T2^8 + 2588*T1^8*T2^8 + 
     11902*T1^9*T2^8 - 9378*T1^10*T2^8 - 860*T1^11*T2^8 + 1108*T1^12*T2^8 - 
     282*T1^3*T2^9 - 1340*T1^4*T2^9 + 7582*T1^5*T2^9 - 4747*T1^6*T2^9 - 
     7442*T1^7*T2^9 + 11902*T1^8*T2^9 - 16003*T1^9*T2^9 + 6654*T1^10*T2^9 + 
     2452*T1^11*T2^9 - 1281*T1^12*T2^9 + 532*T1^4*T2^10 - 619*T1^5*T2^10 - 
     4848*T1^6*T2^10 + 10686*T1^7*T2^10 - 9378*T1^8*T2^10 + 6654*T1^9*T2^10 + 
     720*T1^10*T2^10 - 3691*T1^11*T2^10 + 1108*T1^12*T2^10 - 412*T1^5*T2^11 + 
     1620*T1^6*T2^11 - 1387*T1^7*T2^11 - 860*T1^8*T2^11 + 2452*T1^9*T2^11 - 
     3691*T1^10*T2^11 + 2532*T1^11*T2^11 - 556*T1^12*T2^11 + 105*T1^6*T2^12 - 
     556*T1^7*T2^12 + 1108*T1^8*T2^12 - 1281*T1^9*T2^12 + 1108*T1^10*T2^12 - 
     556*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 179] -> 
  {-((1 - 7*T + 18*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 18*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 90*T1^2 + 135*T1^3 - 145*T1^4 + 135*T1^5 - 
      90*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 434*T1^2*T2 - 
      441*T1^3*T2 + 259*T1^4*T2 - 133*T1^5*T2 - 126*T1^6*T2 + 259*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 90*T2^2 + 434*T1*T2^2 - 297*T1^2*T2^2 - 
      737*T1^3*T2^2 + 1741*T1^4*T2^2 - 1833*T1^5*T2^2 + 2137*T1^6*T2^2 - 
      1457*T1^7*T2^2 + 315*T1^8*T2^2 + 182*T1^9*T2^2 - 54*T1^10*T2^2 + 
      135*T2^3 - 441*T1*T2^3 - 737*T1^2*T2^3 + 2889*T1^3*T2^3 - 
      3349*T1^4*T2^3 + 1782*T1^5*T2^3 - 1629*T1^6*T2^3 - 595*T1^7*T2^3 + 
      2007*T1^8*T2^3 - 1187*T1^9*T2^3 + 54*T1^11*T2^3 - 145*T2^4 + 
      259*T1*T2^4 + 1741*T1^2*T2^4 - 3349*T1^3*T2^4 + 1339*T1^4*T2^4 + 
      1913*T1^5*T2^4 - 1225*T1^6*T2^4 + 3751*T1^7*T2^4 - 2973*T1^8*T2^4 - 
      55*T1^9*T2^4 + 1183*T1^10*T2^4 - 175*T1^11*T2^4 - 29*T1^12*T2^4 + 
      135*T2^5 - 133*T1*T2^5 - 1833*T1^2*T2^5 + 1782*T1^3*T2^5 + 
      1913*T1^4*T2^5 - 4120*T1^5*T2^5 + 766*T1^6*T2^5 - 2420*T1^7*T2^5 - 
      394*T1^8*T2^5 + 2900*T1^9*T2^5 - 1647*T1^10*T2^5 - 486*T1^11*T2^5 + 
      203*T1^12*T2^5 - 90*T2^6 - 126*T1*T2^6 + 2137*T1^2*T2^6 - 
      1629*T1^3*T2^6 - 1225*T1^4*T2^6 + 766*T1^5*T2^6 + 3858*T1^6*T2^6 - 
      908*T1^7*T2^6 + 2058*T1^8*T2^6 - 1862*T1^9*T2^6 - 757*T1^10*T2^6 + 
      1755*T1^11*T2^6 - 167*T1^12*T2^6 - 126*T1^13*T2^6 + 18*T1^14*T2^6 + 
      35*T2^7 + 259*T1*T2^7 - 1457*T1^2*T2^7 - 595*T1^3*T2^7 + 
      3751*T1^4*T2^7 - 2420*T1^5*T2^7 - 908*T1^6*T2^7 - 3668*T1^7*T2^7 + 
      2736*T1^8*T2^7 - 1403*T1^9*T2^7 + 1882*T1^10*T2^7 - 640*T1^11*T2^7 - 
      1189*T1^12*T2^7 + 613*T1^13*T2^7 - 28*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 + 315*T1^2*T2^8 + 2007*T1^3*T2^8 - 
      2973*T1^4*T2^8 - 394*T1^5*T2^8 + 2058*T1^6*T2^8 + 2736*T1^7*T2^8 - 
      504*T1^8*T2^8 - 2204*T1^9*T2^8 + 1392*T1^10*T2^8 - 2290*T1^11*T2^8 + 
      2443*T1^12*T2^8 - 531*T1^13*T2^8 - 303*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 182*T1^2*T2^9 - 1187*T1^3*T2^9 - 
      55*T1^4*T2^9 + 2900*T1^5*T2^9 - 1862*T1^6*T2^9 - 1403*T1^7*T2^9 - 
      2204*T1^8*T2^9 + 4200*T1^9*T2^9 - 1898*T1^10*T2^9 + 2440*T1^11*T2^9 - 
      1491*T1^12*T2^9 - 649*T1^13*T2^9 + 883*T1^14*T2^9 - 105*T1^15*T2^9 - 
      21*T1^16*T2^9 - 54*T1^2*T2^10 + 1183*T1^4*T2^10 - 1647*T1^5*T2^10 - 
      757*T1^6*T2^10 + 1882*T1^7*T2^10 + 1392*T1^8*T2^10 - 1898*T1^9*T2^10 - 
      408*T1^10*T2^10 - 746*T1^11*T2^10 - 289*T1^12*T2^10 + 
      1737*T1^13*T2^10 - 1121*T1^14*T2^10 + 54*T1^16*T2^10 + 54*T1^3*T2^11 - 
      175*T1^4*T2^11 - 486*T1^5*T2^11 + 1755*T1^6*T2^11 - 640*T1^7*T2^11 - 
      2290*T1^8*T2^11 + 2440*T1^9*T2^11 - 746*T1^10*T2^11 + 
      1436*T1^11*T2^11 + 347*T1^12*T2^11 - 1674*T1^13*T2^11 + 
      861*T1^14*T2^11 + 161*T1^15*T2^11 - 81*T1^16*T2^11 - 29*T1^4*T2^12 + 
      203*T1^5*T2^12 - 167*T1^6*T2^12 - 1189*T1^7*T2^12 + 2443*T1^8*T2^12 - 
      1491*T1^9*T2^12 - 289*T1^10*T2^12 + 347*T1^11*T2^12 - 
      1869*T1^12*T2^12 + 2105*T1^13*T2^12 - 725*T1^14*T2^12 - 
      231*T1^15*T2^12 + 87*T1^16*T2^12 - 126*T1^6*T2^13 + 613*T1^7*T2^13 - 
      531*T1^8*T2^13 - 649*T1^9*T2^13 + 1737*T1^10*T2^13 - 1674*T1^11*T2^13 + 
      2105*T1^12*T2^13 - 1413*T1^13*T2^13 + 163*T1^14*T2^13 + 
      315*T1^15*T2^13 - 81*T1^16*T2^13 + 18*T1^6*T2^14 - 28*T1^7*T2^14 - 
      303*T1^8*T2^14 + 883*T1^9*T2^14 - 1121*T1^10*T2^14 + 861*T1^11*T2^14 - 
      725*T1^12*T2^14 + 163*T1^13*T2^14 + 309*T1^14*T2^14 - 280*T1^15*T2^14 + 
      54*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 105*T1^9*T2^15 + 
      161*T1^11*T2^15 - 231*T1^12*T2^15 + 315*T1^13*T2^15 - 280*T1^14*T2^15 + 
      133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 
      54*T1^10*T2^16 - 81*T1^11*T2^16 + 87*T1^12*T2^16 - 81*T1^13*T2^16 + 
      54*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 180] -> 
  {-((2 - 15*T + 41*T^2 - 57*T^3 + 41*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-25 + 187*T1 - 510*T1^2 + 709*T1^3 - 510*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 2867*T1^2*T2 - 2719*T1^3*T2 + 221*T1^4*T2 + 
      1187*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 510*T2^2 + 2867*T1*T2^2 - 
      3465*T1^2*T2^2 - 3614*T1^3*T2^2 + 12939*T1^4*T2^2 - 10502*T1^5*T2^2 + 
      2931*T1^6*T2^2 + 407*T1^7*T2^2 - 182*T1^8*T2^2 + 709*T2^3 - 
      2719*T1*T2^3 - 3614*T1^2*T2^3 + 22735*T1^3*T2^3 - 31642*T1^4*T2^3 + 
      9476*T1^5*T2^3 + 8473*T1^6*T2^3 - 7181*T1^7*T2^3 + 1181*T1^8*T2^3 + 
      25*T1^9*T2^3 - 510*T2^4 + 221*T1*T2^4 + 12939*T1^2*T2^4 - 
      31642*T1^3*T2^4 + 17918*T1^4*T2^4 + 30746*T1^5*T2^4 - 41110*T1^6*T2^4 + 
      16352*T1^7*T2^4 + 737*T1^8*T2^4 - 1279*T1^9*T2^4 + 146*T1^10*T2^4 + 
      187*T2^5 + 1187*T1*T2^5 - 10502*T1^2*T2^5 + 9476*T1^3*T2^5 + 
      30746*T1^4*T2^5 - 77348*T1^5*T2^5 + 50908*T1^6*T2^5 + 2579*T1^7*T2^5 - 
      17890*T1^8*T2^5 + 6349*T1^9*T2^5 - 253*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 2931*T1^2*T2^6 + 8473*T1^3*T2^6 - 
      41110*T1^4*T2^6 + 50908*T1^5*T2^6 + 6072*T1^6*T2^6 - 55556*T1^7*T2^6 + 
      39692*T1^8*T2^6 - 6425*T1^9*T2^6 - 2861*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 407*T1^2*T2^7 - 7181*T1^3*T2^7 + 
      16352*T1^4*T2^7 + 2579*T1^5*T2^7 - 55556*T1^6*T2^7 + 72700*T1^7*T2^7 - 
      25588*T1^8*T2^7 - 11014*T1^9*T2^7 + 9670*T1^10*T2^7 - 1033*T1^11*T2^7 - 
      173*T1^12*T2^7 - 182*T1^2*T2^8 + 1181*T1^3*T2^8 + 737*T1^4*T2^8 - 
      17890*T1^5*T2^8 + 39692*T1^6*T2^8 - 25588*T1^7*T2^8 - 19336*T1^8*T2^8 + 
      30104*T1^9*T2^8 - 11465*T1^10*T2^8 - 319*T1^11*T2^8 + 474*T1^12*T2^8 + 
      25*T1^3*T2^9 - 1279*T1^4*T2^9 + 6349*T1^5*T2^9 - 6425*T1^6*T2^9 - 
      11014*T1^7*T2^9 + 30104*T1^8*T2^9 - 20687*T1^9*T2^9 + 2782*T1^10*T2^9 + 
      2621*T1^11*T2^9 - 659*T1^12*T2^9 + 146*T1^4*T2^10 - 253*T1^5*T2^10 - 
      2861*T1^6*T2^10 + 9670*T1^7*T2^10 - 11465*T1^8*T2^10 + 
      2782*T1^9*T2^10 + 3535*T1^10*T2^10 - 2713*T1^11*T2^10 + 
      474*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 1033*T1^7*T2^11 - 
      319*T1^8*T2^11 + 2621*T1^9*T2^11 - 2713*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      474*T1^8*T2^12 - 659*T1^9*T2^12 + 474*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 181] -> 
  {-(((1 - 3*T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3), 
   -((-3 + 33*T1 - 120*T1^2 + 183*T1^3 - 120*T1^4 + 33*T1^5 - 3*T1^6 + 
      33*T2 - 341*T1*T2 + 1078*T1^2*T2 - 1133*T1^3*T2 - 22*T1^4*T2 + 
      517*T1^5*T2 - 209*T1^6*T2 + 22*T1^7*T2 - 120*T2^2 + 1078*T1*T2^2 - 
      2189*T1^2*T2^2 - 1870*T1^3*T2^2 + 8283*T1^4*T2^2 - 5870*T1^5*T2^2 + 
      931*T1^6*T2^2 + 198*T1^7*T2^2 - 40*T1^8*T2^2 + 183*T2^3 - 
      1133*T1*T2^3 - 1870*T1^2*T2^3 + 19023*T1^3*T2^3 - 28631*T1^4*T2^3 + 
      6476*T1^5*T2^3 + 7929*T1^6*T2^3 - 3910*T1^7*T2^3 + 440*T1^8*T2^3 - 
      120*T2^4 - 22*T1*T2^4 + 8283*T1^2*T2^4 - 28631*T1^3*T2^4 + 
      13451*T1^4*T2^4 + 43959*T1^5*T2^4 - 47409*T1^6*T2^4 + 13947*T1^7*T2^4 - 
      79*T1^8*T2^4 - 440*T1^9*T2^4 + 40*T1^10*T2^4 + 33*T2^5 + 517*T1*T2^5 - 
      5870*T1^2*T2^5 + 6476*T1^3*T2^5 + 43959*T1^4*T2^5 - 108473*T1^5*T2^5 + 
      71307*T1^6*T2^5 - 841*T1^7*T2^5 - 13689*T1^8*T2^5 + 4010*T1^9*T2^5 - 
      198*T1^10*T2^5 - 22*T1^11*T2^5 - 3*T2^6 - 209*T1*T2^6 + 931*T1^2*T2^6 + 
      7929*T1^3*T2^6 - 47409*T1^4*T2^6 + 71307*T1^5*T2^6 - 1884*T1^6*T2^6 - 
      69883*T1^7*T2^6 + 48107*T1^8*T2^6 - 8277*T1^9*T2^6 - 953*T1^10*T2^6 + 
      209*T1^11*T2^6 + 3*T1^12*T2^6 + 22*T1*T2^7 + 198*T1^2*T2^7 - 
      3910*T1^3*T2^7 + 13947*T1^4*T2^7 - 841*T1^5*T2^7 - 69883*T1^6*T2^7 + 
      109897*T1^7*T2^7 - 45641*T1^8*T2^7 - 6218*T1^9*T2^7 + 5970*T1^10*T2^7 - 
      517*T1^11*T2^7 - 33*T1^12*T2^7 - 40*T1^2*T2^8 + 440*T1^3*T2^8 - 
      79*T1^4*T2^8 - 13689*T1^5*T2^8 + 48107*T1^6*T2^8 - 45641*T1^7*T2^8 - 
      12753*T1^8*T2^8 + 28889*T1^9*T2^8 - 8441*T1^10*T2^8 + 22*T1^11*T2^8 + 
      120*T1^12*T2^8 - 440*T1^4*T2^9 + 4010*T1^5*T2^9 - 8277*T1^6*T2^9 - 
      6218*T1^7*T2^9 + 28889*T1^8*T2^9 - 19371*T1^9*T2^9 + 1970*T1^10*T2^9 + 
      1133*T1^11*T2^9 - 183*T1^12*T2^9 + 40*T1^4*T2^10 - 198*T1^5*T2^10 - 
      953*T1^6*T2^10 + 5970*T1^7*T2^10 - 8441*T1^8*T2^10 + 1970*T1^9*T2^10 + 
      2167*T1^10*T2^10 - 1078*T1^11*T2^10 + 120*T1^12*T2^10 - 22*T1^5*T2^11 + 
      209*T1^6*T2^11 - 517*T1^7*T2^11 + 22*T1^8*T2^11 + 1133*T1^9*T2^11 - 
      1078*T1^10*T2^11 + 341*T1^11*T2^11 - 33*T1^12*T2^11 + 3*T1^6*T2^12 - 
      33*T1^7*T2^12 + 120*T1^8*T2^12 - 183*T1^9*T2^12 + 120*T1^10*T2^12 - 
      33*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 182] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 108*T1^3 - 129*T1^4 + 108*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 476*T1^3*T2 + 
      399*T1^4*T2 - 154*T1^5*T2 - 84*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 325*T1^3*T2^2 + 
      572*T1^4*T2^2 - 1359*T1^5*T2^2 + 1492*T1^6*T2^2 - 835*T1^7*T2^2 + 
      231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 108*T2^3 - 476*T1*T2^3 + 
      325*T1^2*T2^3 + 748*T1^3*T2^3 - 2629*T1^4*T2^3 + 3089*T1^5*T2^3 - 
      1923*T1^6*T2^3 - 189*T1^7*T2^3 + 964*T1^8*T2^3 - 715*T1^9*T2^3 + 
      140*T1^10*T2^3 - 129*T2^4 + 399*T1*T2^4 + 572*T1^2*T2^4 - 
      2629*T1^3*T2^4 + 4677*T1^4*T2^4 - 3183*T1^5*T2^4 - 251*T1^6*T2^4 + 
      3421*T1^7*T2^4 - 2715*T1^8*T2^4 + 755*T1^9*T2^4 + 484*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 108*T2^5 - 154*T1*T2^5 - 
      1359*T1^2*T2^5 + 3089*T1^3*T2^5 - 3183*T1^4*T2^5 - 1245*T1^5*T2^5 + 
      5343*T1^6*T2^5 - 5829*T1^7*T2^5 + 585*T1^8*T2^5 + 3048*T1^9*T2^5 - 
      2731*T1^10*T2^5 + 642*T1^11*T2^5 + 203*T1^12*T2^5 - 72*T1^13*T2^5 - 
      60*T2^6 - 84*T1*T2^6 + 1492*T1^2*T2^6 - 1923*T1^3*T2^6 - 
      251*T1^4*T2^6 + 5343*T1^5*T2^6 - 6514*T1^6*T2^6 + 1656*T1^7*T2^6 + 
      6094*T1^8*T2^6 - 6521*T1^9*T2^6 + 1301*T1^10*T2^6 + 1877*T1^11*T2^6 - 
      1444*T1^12*T2^6 + 84*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 835*T1^2*T2^7 - 189*T1^3*T2^7 + 3421*T1^4*T2^7 - 
      5829*T1^5*T2^7 + 1656*T1^6*T2^7 + 7685*T1^7*T2^7 - 12155*T1^8*T2^7 + 
      5264*T1^9*T2^7 + 3959*T1^10*T2^7 - 4302*T1^11*T2^7 + 1147*T1^12*T2^7 + 
      925*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      231*T1^2*T2^8 + 964*T1^3*T2^8 - 2715*T1^4*T2^8 + 585*T1^5*T2^8 + 
      6094*T1^6*T2^8 - 12155*T1^7*T2^8 + 5964*T1^8*T2^8 + 6591*T1^9*T2^8 - 
      12298*T1^10*T2^8 + 4587*T1^11*T2^8 + 901*T1^12*T2^8 - 2052*T1^13*T2^8 - 
      67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 
      42*T1^2*T2^9 - 715*T1^3*T2^9 + 755*T1^4*T2^9 + 3048*T1^5*T2^9 - 
      6521*T1^6*T2^9 + 5264*T1^7*T2^9 + 6591*T1^8*T2^9 - 13249*T1^9*T2^9 + 
      8872*T1^10*T2^9 + 3267*T1^11*T2^9 - 4675*T1^12*T2^9 + 2091*T1^13*T2^9 + 
      1045*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 20*T1^2*T2^10 + 
      140*T1^3*T2^10 + 484*T1^4*T2^10 - 2731*T1^5*T2^10 + 1301*T1^6*T2^10 + 
      3959*T1^7*T2^10 - 12298*T1^8*T2^10 + 8872*T1^9*T2^10 + 
      310*T1^10*T2^10 - 7905*T1^11*T2^10 + 2853*T1^12*T2^10 + 
      1069*T1^13*T2^10 - 2452*T1^14*T2^10 + 308*T1^15*T2^10 + 
      100*T1^16*T2^10 - 301*T1^4*T2^11 + 642*T1^5*T2^11 + 1877*T1^6*T2^11 - 
      4302*T1^7*T2^11 + 4587*T1^8*T2^11 + 3267*T1^9*T2^11 - 
      7905*T1^10*T2^11 + 6417*T1^11*T2^11 + 1929*T1^12*T2^11 - 
      3943*T1^13*T2^11 + 2643*T1^14*T2^11 + 56*T1^15*T2^11 - 
      180*T1^16*T2^11 + 43*T1^4*T2^12 + 203*T1^5*T2^12 - 1444*T1^6*T2^12 + 
      1147*T1^7*T2^12 + 901*T1^8*T2^12 - 4675*T1^9*T2^12 + 2853*T1^10*T2^12 + 
      1929*T1^11*T2^12 - 6491*T1^12*T2^12 + 4531*T1^13*T2^12 - 
      1532*T1^14*T2^12 - 497*T1^15*T2^12 + 215*T1^16*T2^12 - 72*T1^5*T2^13 + 
      84*T1^6*T2^13 + 925*T1^7*T2^13 - 2052*T1^8*T2^13 + 2091*T1^9*T2^13 + 
      1069*T1^10*T2^13 - 3943*T1^11*T2^13 + 4531*T1^12*T2^13 - 
      1836*T1^13*T2^13 - 115*T1^14*T2^13 + 700*T1^15*T2^13 - 
      180*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 
      1045*T1^9*T2^14 - 2452*T1^10*T2^14 + 2643*T1^11*T2^14 - 
      1532*T1^12*T2^14 - 115*T1^13*T2^14 + 693*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 308*T1^10*T2^15 + 56*T1^11*T2^15 - 497*T1^12*T2^15 + 
      700*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 180*T1^11*T2^16 + 
      215*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 183] -> {((3 - 6*T + 2*T^2)*(2 - 6*T + 3*T^2))/T^2, 
   (-429 + 2160*T1 - 3537*T1^2 + 2160*T1^3 - 429*T1^4 + 2160*T2 - 
     9790*T1*T2 + 12324*T1^2*T2 - 1896*T1^3*T2 - 3310*T1^4*T2 + 
     1080*T1^5*T2 - 3537*T2^2 + 12324*T1*T2^2 - 1475*T1^2*T2^2 - 
     27389*T1^3*T2^2 + 23809*T1^4*T2^2 - 5316*T1^5*T2^2 - 9*T1^6*T2^2 + 
     2160*T2^3 - 1896*T1*T2^3 - 27389*T1^2*T2^3 + 61102*T1^3*T2^3 - 
     35588*T1^4*T2^3 - 929*T1^5*T2^3 + 5484*T1^6*T2^3 - 1080*T1^7*T2^3 - 
     429*T2^4 - 3310*T1*T2^4 + 23809*T1^2*T2^4 - 35588*T1^3*T2^4 - 
     2712*T1^4*T2^4 + 37492*T1^5*T2^4 - 23135*T1^6*T2^4 + 3170*T1^7*T2^4 + 
     435*T1^8*T2^4 + 1080*T1*T2^5 - 5316*T1^2*T2^5 - 929*T1^3*T2^5 + 
     37492*T1^4*T2^5 - 59198*T1^5*T2^5 + 25531*T1^6*T2^5 + 2064*T1^7*T2^5 - 
     2160*T1^8*T2^5 - 9*T1^2*T2^6 + 5484*T1^3*T2^6 - 23135*T1^4*T2^6 + 
     25531*T1^5*T2^6 + 2149*T1^6*T2^6 - 12156*T1^7*T2^6 + 3519*T1^8*T2^6 - 
     1080*T1^3*T2^7 + 3170*T1^4*T2^7 + 2064*T1^5*T2^7 - 12156*T1^6*T2^7 + 
     9650*T1^7*T2^7 - 2160*T1^8*T2^7 + 435*T1^4*T2^8 - 2160*T1^5*T2^8 + 
     3519*T1^6*T2^8 - 2160*T1^7*T2^8 + 435*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 184] -> 
  {(1 - 8*T + 27*T^2 - 52*T^3 + 65*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 208*T1^3 - 260*T1^4 + 208*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1016*T1^3*T2 + 
     832*T1^4*T2 - 104*T1^5*T2 - 384*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1433*T1^2*T2^2 + 857*T1^3*T2^2 + 
     1521*T1^4*T2^2 - 4075*T1^5*T2^2 + 3573*T1^6*T2^2 - 1519*T1^7*T2^2 - 
     29*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 208*T2^3 - 1016*T1*T2^3 + 
     857*T1^2*T2^3 + 3318*T1^3*T2^3 - 8988*T1^4*T2^3 + 10274*T1^5*T2^3 - 
     2674*T1^6*T2^3 - 3312*T1^7*T2^3 + 4026*T1^8*T2^3 - 1411*T1^9*T2^3 + 
     16*T1^10*T2^3 + 52*T1^11*T2^3 - 260*T2^4 + 832*T1*T2^4 + 
     1521*T1^2*T2^4 - 8988*T1^3*T2^4 + 11874*T1^4*T2^4 - 2651*T1^5*T2^4 - 
     15778*T1^6*T2^4 + 17525*T1^7*T2^4 - 8094*T1^8*T2^4 - 876*T1^9*T2^4 + 
     1885*T1^10*T2^4 - 416*T1^11*T2^4 + 208*T2^5 - 104*T1*T2^5 - 
     4075*T1^2*T2^5 + 10274*T1^3*T2^5 - 2651*T1^4*T2^5 - 18218*T1^5*T2^5 + 
     34750*T1^6*T2^5 - 15378*T1^7*T2^5 - 7402*T1^8*T2^5 + 13989*T1^9*T2^5 - 
     5690*T1^10*T2^5 - 19*T1^11*T2^5 + 416*T1^12*T2^5 - 52*T1^13*T2^5 - 
     108*T2^6 - 384*T1*T2^6 + 3573*T1^2*T2^6 - 2674*T1^3*T2^6 - 
     15778*T1^4*T2^6 + 34750*T1^5*T2^6 - 28362*T1^6*T2^6 - 16166*T1^7*T2^6 + 
     36014*T1^8*T2^6 - 21618*T1^9*T2^6 - 516*T1^10*T2^6 + 5750*T1^11*T2^6 - 
     1855*T1^12*T2^6 - 16*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 
     392*T1*T2^7 - 1519*T1^2*T2^7 - 3312*T1^3*T2^7 + 17525*T1^4*T2^7 - 
     15378*T1^5*T2^7 - 16166*T1^6*T2^7 + 56894*T1^7*T2^7 - 43114*T1^8*T2^7 - 
     894*T1^9*T2^7 + 22270*T1^10*T2^7 - 13259*T1^11*T2^7 + 756*T1^12*T2^7 + 
     1397*T1^13*T2^7 - 240*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 29*T1^2*T2^8 + 4026*T1^3*T2^8 - 8094*T1^4*T2^8 - 
     7402*T1^5*T2^8 + 36014*T1^6*T2^8 - 43114*T1^7*T2^8 - 876*T1^8*T2^8 + 
     44006*T1^9*T2^8 - 35066*T1^10*T2^8 + 6118*T1^11*T2^8 + 7926*T1^12*T2^8 - 
     3942*T1^13*T2^8 + 31*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 240*T1^2*T2^9 - 1411*T1^3*T2^9 - 876*T1^4*T2^9 + 
     13989*T1^5*T2^9 - 21618*T1^6*T2^9 - 894*T1^7*T2^9 + 44006*T1^8*T2^9 - 
     56002*T1^9*T2^9 + 14378*T1^10*T2^9 + 16030*T1^11*T2^9 - 
     16795*T1^12*T2^9 + 3192*T1^13*T2^9 + 1505*T1^14*T2^9 - 392*T1^15*T2^9 - 
     32*T1^16*T2^9 - 54*T1^2*T2^10 + 16*T1^3*T2^10 + 1885*T1^4*T2^10 - 
     5690*T1^5*T2^10 - 516*T1^6*T2^10 + 22270*T1^7*T2^10 - 35066*T1^8*T2^10 + 
     14378*T1^9*T2^10 + 29310*T1^10*T2^10 - 34098*T1^11*T2^10 + 
     14746*T1^12*T2^10 + 2734*T1^13*T2^10 - 3543*T1^14*T2^10 + 
     384*T1^15*T2^10 + 108*T1^16*T2^10 + 52*T1^3*T2^11 - 416*T1^4*T2^11 - 
     19*T1^5*T2^11 + 5750*T1^6*T2^11 - 13259*T1^7*T2^11 + 6118*T1^8*T2^11 + 
     16030*T1^9*T2^11 - 34098*T1^10*T2^11 + 16934*T1^11*T2^11 + 
     3381*T1^12*T2^11 - 10214*T1^13*T2^11 + 4037*T1^14*T2^11 + 
     104*T1^15*T2^11 - 208*T1^16*T2^11 + 416*T1^5*T2^12 - 1855*T1^6*T2^12 + 
     756*T1^7*T2^12 + 7926*T1^8*T2^12 - 16795*T1^9*T2^12 + 
     14746*T1^10*T2^12 + 3381*T1^11*T2^12 - 12042*T1^12*T2^12 + 
     8868*T1^13*T2^12 - 1491*T1^14*T2^12 - 832*T1^15*T2^12 + 
     260*T1^16*T2^12 - 52*T1^5*T2^13 - 16*T1^6*T2^13 + 1397*T1^7*T2^13 - 
     3942*T1^8*T2^13 + 3192*T1^9*T2^13 + 2734*T1^10*T2^13 - 
     10214*T1^11*T2^13 + 8868*T1^12*T2^13 - 3234*T1^13*T2^13 - 
     871*T1^14*T2^13 + 1016*T1^15*T2^13 - 208*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 31*T1^8*T2^14 + 1505*T1^9*T2^14 - 3543*T1^10*T2^14 + 
     4037*T1^11*T2^14 - 1491*T1^12*T2^14 - 871*T1^13*T2^14 + 
     1435*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 384*T1^10*T2^15 + 104*T1^11*T2^15 - 
     832*T1^12*T2^15 + 1016*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     208*T1^11*T2^16 + 260*T1^12*T2^16 - 208*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 185] -> 
  {-(((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 40*T1 - 135*T1^2 + 270*T1^3 - 335*T1^4 + 270*T1^5 - 135*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 1296*T1^3*T2 + 
      952*T1^4*T2 - 16*T1^5*T2 - 648*T1^6*T2 + 544*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1677*T1^2*T2^2 + 1020*T1^3*T2^2 + 
      2604*T1^4*T2^2 - 5505*T1^5*T2^2 + 4764*T1^6*T2^2 - 1464*T1^7*T2^2 - 
      273*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 270*T2^3 - 
      1296*T1*T2^3 + 1020*T1^2*T2^3 + 3712*T1^3*T2^3 - 11992*T1^4*T2^3 + 
      11277*T1^5*T2^3 - 1737*T1^6*T2^3 - 6646*T1^7*T2^3 + 5062*T1^8*T2^3 - 
      1410*T1^9*T2^3 - 216*T1^10*T2^3 + 108*T1^11*T2^3 - 335*T2^4 + 
      952*T1*T2^4 + 2604*T1^2*T2^4 - 11992*T1^3*T2^4 + 18557*T1^4*T2^4 - 
      2016*T1^5*T2^4 - 18093*T1^6*T2^4 + 20216*T1^7*T2^4 - 3499*T1^8*T2^4 - 
      4000*T1^9*T2^4 + 2928*T1^10*T2^4 - 328*T1^11*T2^4 - 67*T1^12*T2^4 + 
      270*T2^5 - 16*T1*T2^5 - 5505*T1^2*T2^5 + 11277*T1^3*T2^5 - 
      2016*T1^4*T2^5 - 33196*T1^5*T2^5 + 42150*T1^6*T2^5 - 13470*T1^7*T2^5 - 
      20848*T1^8*T2^5 + 17304*T1^9*T2^5 - 4437*T1^10*T2^5 - 1389*T1^11*T2^5 + 
      536*T1^12*T2^5 - 135*T2^6 - 648*T1*T2^6 + 4764*T1^2*T2^6 - 
      1737*T1^3*T2^6 - 18093*T1^4*T2^6 + 42150*T1^5*T2^6 - 8589*T1^6*T2^6 - 
      46277*T1^7*T2^6 + 60855*T1^8*T2^6 - 18978*T1^9*T2^6 - 6483*T1^10*T2^6 + 
      7227*T1^11*T2^6 - 1068*T1^12*T2^6 - 216*T1^13*T2^6 + 27*T1^14*T2^6 + 
      40*T2^7 + 544*T1*T2^7 - 1464*T1^2*T2^7 - 6646*T1^3*T2^7 + 
      20216*T1^4*T2^7 - 13470*T1^5*T2^7 - 46277*T1^6*T2^7 + 79300*T1^7*T2^7 - 
      41480*T1^8*T2^7 - 23381*T1^9*T2^7 + 31134*T1^10*T2^7 - 
      10752*T1^11*T2^7 - 1408*T1^12*T2^7 + 1290*T1^13*T2^7 - 88*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 273*T1^2*T2^8 + 5062*T1^3*T2^8 - 
      3499*T1^4*T2^8 - 20848*T1^5*T2^8 + 60855*T1^6*T2^8 - 41480*T1^7*T2^8 - 
      28224*T1^8*T2^8 + 67584*T1^9*T2^8 - 35481*T1^10*T2^8 - 
      1384*T1^11*T2^8 + 8377*T1^12*T2^8 - 2498*T1^13*T2^8 - 213*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 
      1410*T1^3*T2^9 - 4000*T1^4*T2^9 + 17304*T1^5*T2^9 - 18978*T1^6*T2^9 - 
      23381*T1^7*T2^9 + 67584*T1^8*T2^9 - 53196*T1^9*T2^9 - 485*T1^10*T2^9 + 
      25626*T1^11*T2^9 - 13664*T1^12*T2^9 + 1238*T1^13*T2^9 + 
      1344*T1^14*T2^9 - 240*T1^15*T2^9 - 24*T1^16*T2^9 - 81*T1^2*T2^10 - 
      216*T1^3*T2^10 + 2928*T1^4*T2^10 - 4437*T1^5*T2^10 - 6483*T1^6*T2^10 + 
      31134*T1^7*T2^10 - 35481*T1^8*T2^10 - 485*T1^9*T2^10 + 
      33963*T1^10*T2^10 - 29994*T1^11*T2^10 + 5127*T1^12*T2^10 + 
      4527*T1^13*T2^10 - 2904*T1^14*T2^10 + 216*T1^15*T2^10 + 
      81*T1^16*T2^10 + 108*T1^3*T2^11 - 328*T1^4*T2^11 - 1389*T1^5*T2^11 + 
      7227*T1^6*T2^11 - 10752*T1^7*T2^11 - 1384*T1^8*T2^11 + 
      25626*T1^9*T2^11 - 29994*T1^10*T2^11 + 10964*T1^11*T2^11 + 
      8568*T1^12*T2^11 - 8487*T1^13*T2^11 + 2727*T1^14*T2^11 + 
      224*T1^15*T2^11 - 162*T1^16*T2^11 - 67*T1^4*T2^12 + 536*T1^5*T2^12 - 
      1068*T1^6*T2^12 - 1408*T1^7*T2^12 + 8377*T1^8*T2^12 - 
      13664*T1^9*T2^12 + 5127*T1^10*T2^12 + 8568*T1^11*T2^12 - 
      13679*T1^12*T2^12 + 6584*T1^13*T2^12 - 744*T1^14*T2^12 - 
      744*T1^15*T2^12 + 201*T1^16*T2^12 - 216*T1^6*T2^13 + 1290*T1^7*T2^13 - 
      2498*T1^8*T2^13 + 1238*T1^9*T2^13 + 4527*T1^10*T2^13 - 
      8487*T1^11*T2^13 + 6584*T1^12*T2^13 - 1148*T1^13*T2^13 - 
      1140*T1^14*T2^13 + 864*T1^15*T2^13 - 162*T1^16*T2^13 + 27*T1^6*T2^14 - 
      88*T1^7*T2^14 - 213*T1^8*T2^14 + 1344*T1^9*T2^14 - 2904*T1^10*T2^14 + 
      2727*T1^11*T2^14 - 744*T1^12*T2^14 - 1140*T1^13*T2^14 + 
      1191*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 216*T1^10*T2^15 + 224*T1^11*T2^15 - 
      744*T1^12*T2^15 + 864*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      162*T1^11*T2^16 + 201*T1^12*T2^16 - 162*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 186] -> 
  {(1 - 8*T + 25*T^2 - 40*T^3 + 45*T^4 - 40*T^5 + 25*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 50*T1^2 + 80*T1^3 - 90*T1^4 + 80*T1^5 - 50*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 336*T1^2*T2 - 440*T1^3*T2 + 400*T1^4*T2 - 
     280*T1^5*T2 + 80*T1^6*T2 + 72*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     50*T2^2 + 336*T1*T2^2 - 739*T1^2*T2^2 + 405*T1^3*T2^2 + 295*T1^4*T2^2 - 
     859*T1^5*T2^2 + 1295*T1^6*T2^2 - 1195*T1^7*T2^2 + 461*T1^8*T2^2 - 
     64*T1^9*T2^2 + 80*T2^3 - 440*T1*T2^3 + 405*T1^2*T2^3 + 1742*T1^3*T2^3 - 
     4011*T1^4*T2^3 + 4756*T1^5*T2^3 - 4444*T1^6*T2^3 + 2629*T1^7*T2^3 + 
     62*T1^8*T2^3 - 795*T1^9*T2^3 + 320*T1^10*T2^3 - 40*T1^11*T2^3 - 
     90*T2^4 + 400*T1*T2^4 + 295*T1^2*T2^4 - 4011*T1^3*T2^4 + 
     6093*T1^4*T2^4 - 3746*T1^5*T2^4 + 537*T1^6*T2^4 + 3294*T1^7*T2^4 - 
     6467*T1^8*T2^4 + 4149*T1^9*T2^4 - 325*T1^10*T2^4 - 400*T1^11*T2^4 + 
     90*T1^12*T2^4 + 80*T2^5 - 280*T1*T2^5 - 859*T1^2*T2^5 + 4756*T1^3*T2^5 - 
     3746*T1^4*T2^5 - 4678*T1^5*T2^5 + 9479*T1^6*T2^5 - 11921*T1^7*T2^5 + 
     11282*T1^8*T2^5 - 1466*T1^9*T2^5 - 5244*T1^10*T2^5 + 1781*T1^11*T2^5 + 
     240*T1^12*T2^5 - 120*T1^13*T2^5 - 50*T2^6 + 80*T1*T2^6 + 
     1295*T1^2*T2^6 - 4444*T1^3*T2^6 + 537*T1^4*T2^6 + 9479*T1^5*T2^6 - 
     7528*T1^6*T2^6 + 4592*T1^7*T2^6 + 112*T1^8*T2^6 - 12201*T1^9*T2^6 + 
     10087*T1^10*T2^6 + 3556*T1^11*T2^6 - 2945*T1^12*T2^6 + 160*T1^13*T2^6 + 
     100*T1^14*T2^6 + 16*T2^7 + 72*T1*T2^7 - 1195*T1^2*T2^7 + 
     2629*T1^3*T2^7 + 3294*T1^4*T2^7 - 11921*T1^5*T2^7 + 4592*T1^6*T2^7 - 
     5106*T1^7*T2^7 + 4398*T1^8*T2^7 + 2192*T1^9*T2^7 + 8919*T1^10*T2^7 - 
     18026*T1^11*T2^7 + 2069*T1^12*T2^7 + 2405*T1^13*T2^7 - 480*T1^14*T2^7 - 
     40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 461*T1^2*T2^8 + 62*T1^3*T2^8 - 
     6467*T1^4*T2^8 + 11282*T1^5*T2^8 + 112*T1^6*T2^8 + 4398*T1^7*T2^8 - 
     3432*T1^8*T2^8 - 2450*T1^9*T2^8 - 7448*T1^10*T2^8 + 5042*T1^11*T2^8 + 
     15433*T1^12*T2^8 - 7458*T1^13*T2^8 + 89*T1^14*T2^8 + 272*T1^15*T2^8 + 
     6*T1^16*T2^8 + 8*T1*T2^9 - 64*T1^2*T2^9 - 795*T1^3*T2^9 + 
     4149*T1^4*T2^9 - 1466*T1^5*T2^9 - 12201*T1^6*T2^9 + 2192*T1^7*T2^9 - 
     2450*T1^8*T2^9 + 7054*T1^9*T2^9 - 208*T1^10*T2^9 + 8639*T1^11*T2^9 - 
     22786*T1^12*T2^9 + 3589*T1^13*T2^9 + 2805*T1^14*T2^9 - 616*T1^15*T2^9 - 
     48*T1^16*T2^9 + 320*T1^3*T2^10 - 325*T1^4*T2^10 - 5244*T1^5*T2^10 + 
     10087*T1^6*T2^10 + 8919*T1^7*T2^10 - 7448*T1^8*T2^10 - 208*T1^9*T2^10 + 
     192*T1^10*T2^10 - 12761*T1^11*T2^10 + 19637*T1^12*T2^10 + 
     2756*T1^13*T2^10 - 4565*T1^14*T2^10 + 400*T1^15*T2^10 + 
     150*T1^16*T2^10 - 40*T1^3*T2^11 - 400*T1^4*T2^11 + 1781*T1^5*T2^11 + 
     3556*T1^6*T2^11 - 18026*T1^7*T2^11 + 5042*T1^8*T2^11 + 8639*T1^9*T2^11 - 
     12761*T1^10*T2^11 + 21002*T1^11*T2^11 - 15746*T1^12*T2^11 - 
     6444*T1^13*T2^11 + 4421*T1^14*T2^11 + 120*T1^15*T2^11 - 
     240*T1^16*T2^11 + 90*T1^4*T2^12 + 240*T1^5*T2^12 - 2945*T1^6*T2^12 + 
     2069*T1^7*T2^12 + 15433*T1^8*T2^12 - 22786*T1^9*T2^12 + 
     19637*T1^10*T2^12 - 15746*T1^11*T2^12 + 2873*T1^12*T2^12 + 
     10229*T1^13*T2^12 - 3565*T1^14*T2^12 - 560*T1^15*T2^12 + 
     270*T1^16*T2^12 - 120*T1^5*T2^13 + 160*T1^6*T2^13 + 2405*T1^7*T2^13 - 
     7458*T1^8*T2^13 + 3589*T1^9*T2^13 + 2756*T1^10*T2^13 - 
     6444*T1^11*T2^13 + 10229*T1^12*T2^13 - 9138*T1^13*T2^13 + 
     1205*T1^14*T2^13 + 920*T1^15*T2^13 - 240*T1^16*T2^13 + 100*T1^6*T2^14 - 
     480*T1^7*T2^14 + 89*T1^8*T2^14 + 2805*T1^9*T2^14 - 4565*T1^10*T2^14 + 
     4421*T1^11*T2^14 - 3565*T1^12*T2^14 + 1205*T1^13*T2^14 + 
     1289*T1^14*T2^14 - 880*T1^15*T2^14 + 150*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 616*T1^9*T2^15 + 400*T1^10*T2^15 + 120*T1^11*T2^15 - 
     560*T1^12*T2^15 + 920*T1^13*T2^15 - 880*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 150*T1^10*T2^16 - 
     240*T1^11*T2^16 + 270*T1^12*T2^16 - 240*T1^13*T2^16 + 150*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 187] -> 
  {(2 - 16*T + 49*T^2 - 69*T^3 + 49*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-15 + 120*T1 - 368*T1^2 + 519*T1^3 - 368*T1^4 + 120*T1^5 - 15*T1^6 + 
     120*T2 - 904*T1*T2 + 2496*T1^2*T2 - 2776*T1^3*T2 + 1000*T1^4*T2 + 
     416*T1^5*T2 - 328*T1^6*T2 + 56*T1^7*T2 - 368*T2^2 + 2496*T1*T2^2 - 
     5428*T1^2*T2^2 + 1571*T1^3*T2^2 + 7044*T1^4*T2^2 - 8817*T1^5*T2^2 + 
     3784*T1^6*T2^2 - 640*T1^7*T2^2 + 24*T1^8*T2^2 + 519*T2^3 - 
     2776*T1*T2^3 + 1571*T1^2*T2^3 + 16980*T1^3*T2^3 - 37125*T1^4*T2^3 + 
     28477*T1^5*T2^3 - 4586*T1^6*T2^3 - 4603*T1^7*T2^3 + 2280*T1^8*T2^3 - 
     309*T1^9*T2^3 - 368*T2^4 + 1000*T1*T2^4 + 7044*T1^2*T2^4 - 
     37125*T1^3*T2^4 + 52952*T1^4*T2^4 - 6664*T1^5*T2^4 - 45648*T1^6*T2^4 + 
     39603*T1^7*T2^4 - 9076*T1^8*T2^4 - 856*T1^9*T2^4 + 416*T1^10*T2^4 + 
     120*T2^5 + 416*T1*T2^5 - 8817*T1^2*T2^5 + 28477*T1^3*T2^5 - 
     6664*T1^4*T2^5 - 99501*T1^5*T2^5 + 149457*T1^6*T2^5 - 67277*T1^7*T2^5 - 
     14873*T1^8*T2^5 + 14213*T1^9*T2^5 - 1728*T1^10*T2^5 - 200*T1^11*T2^5 - 
     15*T2^6 - 328*T1*T2^6 + 3784*T1^2*T2^6 - 4586*T1^3*T2^6 - 
     45648*T1^4*T2^6 + 149457*T1^5*T2^6 - 109908*T1^6*T2^6 - 
     57305*T1^7*T2^6 + 110566*T1^8*T2^6 - 32898*T1^9*T2^6 - 1820*T1^10*T2^6 + 
     1336*T1^11*T2^6 + 33*T1^12*T2^6 + 56*T1*T2^7 - 640*T1^2*T2^7 - 
     4603*T1^3*T2^7 + 39603*T1^4*T2^7 - 67277*T1^5*T2^7 - 57305*T1^6*T2^7 + 
     191653*T1^7*T2^7 - 127890*T1^8*T2^7 - 3747*T1^9*T2^7 + 
     18427*T1^10*T2^7 - 2784*T1^11*T2^7 - 264*T1^12*T2^7 + 24*T1^2*T2^8 + 
     2280*T1^3*T2^8 - 9076*T1^4*T2^8 - 14873*T1^5*T2^8 + 110566*T1^6*T2^8 - 
     127890*T1^7*T2^8 + 11966*T1^8*T2^8 + 61855*T1^9*T2^8 - 
     25196*T1^10*T2^8 + 424*T1^11*T2^8 + 808*T1^12*T2^8 - 309*T1^3*T2^9 - 
     856*T1^4*T2^9 + 14213*T1^5*T2^9 - 32898*T1^6*T2^9 - 3747*T1^7*T2^9 + 
     61855*T1^8*T2^9 - 54464*T1^9*T2^9 + 8039*T1^10*T2^9 + 4200*T1^11*T2^9 - 
     1137*T1^12*T2^9 + 416*T1^4*T2^10 - 1728*T1^5*T2^10 - 1820*T1^6*T2^10 + 
     18427*T1^7*T2^10 - 25196*T1^8*T2^10 + 8039*T1^9*T2^10 + 
     7392*T1^10*T2^10 - 4864*T1^11*T2^10 + 808*T1^12*T2^10 - 200*T1^5*T2^11 + 
     1336*T1^6*T2^11 - 2784*T1^7*T2^11 + 424*T1^8*T2^11 + 4200*T1^9*T2^11 - 
     4864*T1^10*T2^11 + 1912*T1^11*T2^11 - 264*T1^12*T2^11 + 33*T1^6*T2^12 - 
     264*T1^7*T2^12 + 808*T1^8*T2^12 - 1137*T1^9*T2^12 + 808*T1^10*T2^12 - 
     264*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 188] -> 
  {(1 - 8*T + 26*T^2 - 47*T^3 + 57*T^4 - 47*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 188*T1^3 - 228*T1^4 + 188*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 880*T1^3*T2 + 
     696*T1^4*T2 - 136*T1^5*T2 - 296*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1220*T1^2*T2^2 + 310*T1^3*T2^2 + 
     1755*T1^4*T2^2 - 3628*T1^5*T2^2 + 3367*T1^6*T2^2 - 1718*T1^7*T2^2 + 
     80*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 188*T2^3 - 880*T1*T2^3 + 
     310*T1^2*T2^3 + 4131*T1^3*T2^3 - 8251*T1^4*T2^3 + 8446*T1^5*T2^3 - 
     2893*T1^6*T2^3 - 2232*T1^7*T2^3 + 3827*T1^8*T2^3 - 1484*T1^9*T2^3 + 
     40*T1^10*T2^3 + 47*T1^11*T2^3 - 228*T2^4 + 696*T1*T2^4 + 
     1755*T1^2*T2^4 - 8251*T1^3*T2^4 + 7986*T1^4*T2^4 + 550*T1^5*T2^4 - 
     12952*T1^6*T2^4 + 14970*T1^7*T2^4 - 8574*T1^8*T2^4 - 167*T1^9*T2^4 + 
     1667*T1^10*T2^4 - 376*T1^11*T2^4 + 188*T2^5 - 136*T1*T2^5 - 
     3628*T1^2*T2^5 + 8446*T1^3*T2^5 + 550*T1^4*T2^5 - 15647*T1^5*T2^5 + 
     23797*T1^6*T2^5 - 11417*T1^7*T2^5 - 4081*T1^8*T2^5 + 11271*T1^9*T2^5 - 
     5079*T1^10*T2^5 - 16*T1^11*T2^5 + 376*T1^12*T2^5 - 47*T1^13*T2^5 - 
     104*T2^6 - 296*T1*T2^6 + 3367*T1^2*T2^6 - 2893*T1^3*T2^6 - 
     12952*T1^4*T2^6 + 23797*T1^5*T2^6 - 14422*T1^6*T2^6 - 11690*T1^7*T2^6 + 
     22706*T1^8*T2^6 - 14907*T1^9*T2^6 - 648*T1^10*T2^6 + 5167*T1^11*T2^6 - 
     1645*T1^12*T2^6 - 40*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1718*T1^2*T2^7 - 2232*T1^3*T2^7 + 14970*T1^4*T2^7 - 
     11417*T1^5*T2^7 - 11690*T1^6*T2^7 + 28813*T1^7*T2^7 - 17041*T1^8*T2^7 - 
     5949*T1^9*T2^7 + 16817*T1^10*T2^7 - 10547*T1^11*T2^7 + 9*T1^12*T2^7 + 
     1480*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 80*T1^2*T2^8 + 3827*T1^3*T2^8 - 8574*T1^4*T2^8 - 
     4081*T1^5*T2^8 + 22706*T1^6*T2^8 - 17041*T1^7*T2^8 - 7704*T1^8*T2^8 + 
     23997*T1^9*T2^8 - 16012*T1^10*T2^8 + 793*T1^11*T2^8 + 8794*T1^12*T2^8 - 
     3779*T1^13*T2^8 - 80*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1484*T1^3*T2^9 - 167*T1^4*T2^9 + 
     11271*T1^5*T2^9 - 14907*T1^6*T2^9 - 5949*T1^7*T2^9 + 23997*T1^8*T2^9 - 
     21857*T1^9*T2^9 - 208*T1^10*T2^9 + 13327*T1^11*T2^9 - 14246*T1^12*T2^9 + 
     2074*T1^13*T2^9 + 1714*T1^14*T2^9 - 368*T1^15*T2^9 - 32*T1^16*T2^9 - 
     52*T1^2*T2^10 + 40*T1^3*T2^10 + 1667*T1^4*T2^10 - 5079*T1^5*T2^10 - 
     648*T1^6*T2^10 + 16817*T1^7*T2^10 - 16012*T1^8*T2^10 - 208*T1^9*T2^10 + 
     21116*T1^10*T2^10 - 21887*T1^11*T2^10 + 11656*T1^12*T2^10 + 
     2981*T1^13*T2^10 - 3345*T1^14*T2^10 + 296*T1^15*T2^10 + 
     104*T1^16*T2^10 + 47*T1^3*T2^11 - 376*T1^4*T2^11 - 16*T1^5*T2^11 + 
     5167*T1^6*T2^11 - 10547*T1^7*T2^11 + 793*T1^8*T2^11 + 13327*T1^9*T2^11 - 
     21887*T1^10*T2^11 + 12359*T1^11*T2^11 + 174*T1^12*T2^11 - 
     8358*T1^13*T2^11 + 3596*T1^14*T2^11 + 136*T1^15*T2^11 - 
     188*T1^16*T2^11 + 376*T1^5*T2^12 - 1645*T1^6*T2^12 + 9*T1^7*T2^12 + 
     8794*T1^8*T2^12 - 14246*T1^9*T2^12 + 11656*T1^10*T2^12 + 
     174*T1^11*T2^12 - 7766*T1^12*T2^12 + 8093*T1^13*T2^12 - 
     1733*T1^14*T2^12 - 696*T1^15*T2^12 + 228*T1^16*T2^12 - 47*T1^5*T2^13 - 
     40*T1^6*T2^13 + 1480*T1^7*T2^13 - 3779*T1^8*T2^13 + 2074*T1^9*T2^13 + 
     2981*T1^10*T2^13 - 8358*T1^11*T2^13 + 8093*T1^12*T2^13 - 
     4083*T1^13*T2^13 - 314*T1^14*T2^13 + 880*T1^15*T2^13 - 188*T1^16*T2^13 + 
     52*T1^6*T2^14 - 224*T1^7*T2^14 - 80*T1^8*T2^14 + 1714*T1^9*T2^14 - 
     3345*T1^10*T2^14 + 3596*T1^11*T2^14 - 1733*T1^12*T2^14 - 
     314*T1^13*T2^14 + 1220*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 368*T1^9*T2^15 + 296*T1^10*T2^15 + 
     136*T1^11*T2^15 - 696*T1^12*T2^15 + 880*T1^13*T2^15 - 640*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     104*T1^10*T2^16 - 188*T1^11*T2^16 + 228*T1^12*T2^16 - 188*T1^13*T2^16 + 
     104*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 189] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 192*T1^3 - 236*T1^4 + 192*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 912*T1^3*T2 + 
     736*T1^4*T2 - 120*T1^5*T2 - 320*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1220*T1^2*T2^2 + 415*T1^3*T2^2 + 
     1733*T1^4*T2^2 - 3846*T1^5*T2^2 + 3449*T1^6*T2^2 - 1665*T1^7*T2^2 + 
     80*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 192*T2^3 - 912*T1*T2^3 + 
     415*T1^2*T2^3 + 3746*T1^3*T2^3 - 8251*T1^4*T2^3 + 8907*T1^5*T2^3 - 
     2693*T1^6*T2^3 - 2507*T1^7*T2^3 + 3730*T1^8*T2^3 - 1457*T1^9*T2^3 + 
     32*T1^10*T2^3 + 48*T1^11*T2^3 - 236*T2^4 + 736*T1*T2^4 + 
     1733*T1^2*T2^4 - 8251*T1^3*T2^4 + 9366*T1^4*T2^4 - 1371*T1^5*T2^4 - 
     12732*T1^6*T2^4 + 14533*T1^7*T2^4 - 7666*T1^8*T2^4 - 379*T1^9*T2^4 + 
     1725*T1^10*T2^4 - 384*T1^11*T2^4 + 192*T2^5 - 120*T1*T2^5 - 
     3846*T1^2*T2^5 + 8907*T1^3*T2^5 - 1371*T1^4*T2^5 - 14600*T1^5*T2^5 + 
     25532*T1^6*T2^5 - 11380*T1^7*T2^5 - 5360*T1^8*T2^5 + 11421*T1^9*T2^5 - 
     5157*T1^10*T2^5 - 6*T1^11*T2^5 + 384*T1^12*T2^5 - 48*T1^13*T2^5 - 
     104*T2^6 - 320*T1*T2^6 + 3449*T1^2*T2^6 - 2693*T1^3*T2^6 - 
     12732*T1^4*T2^6 + 25532*T1^5*T2^6 - 17584*T1^6*T2^6 - 13374*T1^7*T2^6 + 
     26120*T1^8*T2^6 - 15588*T1^9*T2^6 - 556*T1^10*T2^6 + 5211*T1^11*T2^6 - 
     1715*T1^12*T2^6 - 32*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1665*T1^2*T2^7 - 2507*T1^3*T2^7 + 14533*T1^4*T2^7 - 
     11380*T1^5*T2^7 - 13374*T1^6*T2^7 + 36636*T1^7*T2^7 - 24188*T1^8*T2^7 - 
     5150*T1^9*T2^7 + 17116*T1^10*T2^7 - 10707*T1^11*T2^7 + 261*T1^12*T2^7 + 
     1455*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 80*T1^2*T2^8 + 3730*T1^3*T2^8 - 7666*T1^4*T2^8 - 
     5360*T1^5*T2^8 + 26120*T1^6*T2^8 - 24188*T1^7*T2^8 - 5052*T1^8*T2^8 + 
     29252*T1^9*T2^8 - 19592*T1^10*T2^8 + 2320*T1^11*T2^8 + 7814*T1^12*T2^8 - 
     3694*T1^13*T2^8 - 80*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1457*T1^3*T2^9 - 379*T1^4*T2^9 + 
     11421*T1^5*T2^9 - 15588*T1^6*T2^9 - 5150*T1^7*T2^9 + 29252*T1^8*T2^9 - 
     31572*T1^9*T2^9 + 3074*T1^10*T2^9 + 12908*T1^11*T2^9 - 
     13819*T1^12*T2^9 + 2389*T1^13*T2^9 + 1663*T1^14*T2^9 - 368*T1^15*T2^9 - 
     32*T1^16*T2^9 - 52*T1^2*T2^10 + 32*T1^3*T2^10 + 1725*T1^4*T2^10 - 
     5157*T1^5*T2^10 - 556*T1^6*T2^10 + 17116*T1^7*T2^10 - 19592*T1^8*T2^10 + 
     3074*T1^9*T2^10 + 24112*T1^10*T2^10 - 24004*T1^11*T2^10 + 
     11620*T1^12*T2^10 + 2747*T1^13*T2^10 - 3439*T1^14*T2^10 + 
     320*T1^15*T2^10 + 104*T1^16*T2^10 + 48*T1^3*T2^11 - 384*T1^4*T2^11 - 
     6*T1^5*T2^11 + 5211*T1^6*T2^11 - 10707*T1^7*T2^11 + 2320*T1^8*T2^11 + 
     12908*T1^9*T2^11 - 24004*T1^10*T2^11 + 11560*T1^11*T2^11 + 
     2085*T1^12*T2^11 - 8853*T1^13*T2^11 + 3834*T1^14*T2^11 + 
     120*T1^15*T2^11 - 192*T1^16*T2^11 + 384*T1^5*T2^12 - 1715*T1^6*T2^12 + 
     261*T1^7*T2^12 + 7814*T1^8*T2^12 - 13819*T1^9*T2^12 + 
     11620*T1^10*T2^12 + 2085*T1^11*T2^12 - 9218*T1^12*T2^12 + 
     8133*T1^13*T2^12 - 1723*T1^14*T2^12 - 736*T1^15*T2^12 + 
     236*T1^16*T2^12 - 48*T1^5*T2^13 - 32*T1^6*T2^13 + 1455*T1^7*T2^13 - 
     3694*T1^8*T2^13 + 2389*T1^9*T2^13 + 2747*T1^10*T2^13 - 
     8853*T1^11*T2^13 + 8133*T1^12*T2^13 - 3710*T1^13*T2^13 - 
     417*T1^14*T2^13 + 912*T1^15*T2^13 - 192*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 80*T1^8*T2^14 + 1663*T1^9*T2^14 - 3439*T1^10*T2^14 + 
     3834*T1^11*T2^14 - 1723*T1^12*T2^14 - 417*T1^13*T2^14 + 
     1220*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 320*T1^10*T2^15 + 120*T1^11*T2^15 - 
     736*T1^12*T2^15 + 912*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     192*T1^11*T2^16 + 236*T1^12*T2^16 - 192*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 190] -> 
  {(1 - 8*T + 26*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 52*T1^2 + 92*T1^3 - 110*T1^4 + 92*T1^5 - 52*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 352*T1^2*T2 - 528*T1^3*T2 + 512*T1^4*T2 - 
     296*T1^5*T2 + 48*T1^6*T2 + 80*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     52*T2^2 + 352*T1*T2^2 - 840*T1^2*T2^2 + 728*T1^3*T2^2 + 78*T1^4*T2^2 - 
     1118*T1^5*T2^2 + 1586*T1^6*T2^2 - 1248*T1^7*T2^2 + 460*T1^8*T2^2 - 
     64*T1^9*T2^2 + 92*T2^3 - 528*T1*T2^3 + 728*T1^2*T2^3 + 1128*T1^3*T2^3 - 
     4087*T1^4*T2^3 + 5978*T1^5*T2^3 - 5094*T1^6*T2^3 + 2195*T1^7*T2^3 + 
     542*T1^8*T2^3 - 988*T1^9*T2^3 + 368*T1^10*T2^3 - 46*T1^11*T2^3 - 
     110*T2^4 + 512*T1*T2^4 + 78*T1^2*T2^4 - 4087*T1^3*T2^4 + 
     7836*T1^4*T2^4 - 6620*T1^5*T2^4 + 354*T1^6*T2^4 + 6364*T1^7*T2^4 - 
     8252*T1^8*T2^4 + 4193*T1^9*T2^4 - 90*T1^10*T2^4 - 512*T1^11*T2^4 + 
     110*T1^12*T2^4 + 92*T2^5 - 296*T1*T2^5 - 1118*T1^2*T2^5 + 
     5978*T1^3*T2^5 - 6620*T1^4*T2^5 - 2816*T1^5*T2^5 + 14543*T1^6*T2^5 - 
     19033*T1^7*T2^5 + 10946*T1^8*T2^5 + 2106*T1^9*T2^5 - 6998*T1^10*T2^5 + 
     2266*T1^11*T2^5 + 224*T1^12*T2^5 - 138*T1^13*T2^5 - 52*T2^6 + 
     48*T1*T2^6 + 1586*T1^2*T2^6 - 5094*T1^3*T2^6 + 354*T1^4*T2^6 + 
     14543*T1^5*T2^6 - 19613*T1^6*T2^6 + 9651*T1^7*T2^6 + 11291*T1^8*T2^6 - 
     21825*T1^9*T2^6 + 12722*T1^10*T2^6 + 3122*T1^11*T2^6 - 3274*T1^12*T2^6 + 
     272*T1^13*T2^6 + 104*T1^14*T2^6 + 16*T2^7 + 80*T1*T2^7 - 
     1248*T1^2*T2^7 + 2195*T1^3*T2^7 + 6364*T1^4*T2^7 - 19033*T1^5*T2^7 + 
     9651*T1^6*T2^7 + 8612*T1^7*T2^7 - 23438*T1^8*T2^7 + 13191*T1^9*T2^7 + 
     8959*T1^10*T2^7 - 19394*T1^11*T2^7 + 3905*T1^12*T2^7 + 2028*T1^13*T2^7 - 
     512*T1^14*T2^7 - 40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 460*T1^2*T2^8 + 
     542*T1^3*T2^8 - 8252*T1^4*T2^8 + 10946*T1^5*T2^8 + 11291*T1^6*T2^8 - 
     23438*T1^7*T2^8 + 19728*T1^8*T2^8 + 6074*T1^9*T2^8 - 20965*T1^10*T2^8 + 
     13114*T1^11*T2^8 + 10972*T1^12*T2^8 - 7242*T1^13*T2^8 + 300*T1^14*T2^8 + 
     272*T1^15*T2^8 + 6*T1^16*T2^8 + 8*T1*T2^9 - 64*T1^2*T2^9 - 
     988*T1^3*T2^9 + 4193*T1^4*T2^9 + 2106*T1^5*T2^9 - 21825*T1^6*T2^9 + 
     13191*T1^7*T2^9 + 6074*T1^8*T2^9 - 25976*T1^9*T2^9 + 16731*T1^10*T2^9 + 
     6167*T1^11*T2^9 - 23652*T1^12*T2^9 + 5903*T1^13*T2^9 + 2288*T1^14*T2^9 - 
     656*T1^15*T2^9 - 48*T1^16*T2^9 + 368*T1^3*T2^10 - 90*T1^4*T2^10 - 
     6998*T1^5*T2^10 + 12722*T1^6*T2^10 + 8959*T1^7*T2^10 - 
     20965*T1^8*T2^10 + 16731*T1^9*T2^10 + 9939*T1^10*T2^10 - 
     27409*T1^11*T2^10 + 25090*T1^12*T2^10 + 1218*T1^13*T2^10 - 
     4950*T1^14*T2^10 + 592*T1^15*T2^10 + 156*T1^16*T2^10 - 46*T1^3*T2^11 - 
     512*T1^4*T2^11 + 2266*T1^5*T2^11 + 3122*T1^6*T2^11 - 19394*T1^7*T2^11 + 
     13114*T1^8*T2^11 + 6167*T1^9*T2^11 - 27409*T1^10*T2^11 + 
     26876*T1^11*T2^11 - 10668*T1^12*T2^11 - 9854*T1^13*T2^11 + 
     5650*T1^14*T2^11 + 8*T1^15*T2^11 - 276*T1^16*T2^11 + 110*T1^4*T2^12 + 
     224*T1^5*T2^12 - 3274*T1^6*T2^12 + 3905*T1^7*T2^12 + 10972*T1^8*T2^12 - 
     23652*T1^9*T2^12 + 25090*T1^10*T2^12 - 10668*T1^11*T2^12 - 
     5116*T1^12*T2^12 + 12185*T1^13*T2^12 - 3442*T1^14*T2^12 - 
     800*T1^15*T2^12 + 330*T1^16*T2^12 - 138*T1^5*T2^13 + 272*T1^6*T2^13 + 
     2028*T1^7*T2^13 - 7242*T1^8*T2^13 + 5903*T1^9*T2^13 + 1218*T1^10*T2^13 - 
     9854*T1^11*T2^13 + 12185*T1^12*T2^13 - 7828*T1^13*T2^13 + 
     312*T1^14*T2^13 + 1168*T1^15*T2^13 - 276*T1^16*T2^13 + 104*T1^6*T2^14 - 
     512*T1^7*T2^14 + 300*T1^8*T2^14 + 2288*T1^9*T2^14 - 4950*T1^10*T2^14 + 
     5650*T1^11*T2^14 - 3442*T1^12*T2^14 + 312*T1^13*T2^14 + 
     1600*T1^14*T2^14 - 928*T1^15*T2^14 + 156*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 656*T1^9*T2^15 + 592*T1^10*T2^15 + 8*T1^11*T2^15 - 
     800*T1^12*T2^15 + 1168*T1^13*T2^15 - 928*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 156*T1^10*T2^16 - 
     276*T1^11*T2^16 + 330*T1^12*T2^16 - 276*T1^13*T2^16 + 156*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 191] -> 
  {-((1 - 8*T + 28*T^2 - 58*T^3 + 73*T^4 - 58*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 174*T1^3 - 219*T1^4 + 174*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      944*T1^3*T2 + 824*T1^4*T2 - 224*T1^5*T2 - 256*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1356*T1^2*T2^2 + 
      1513*T1^3*T2^2 + 503*T1^4*T2^2 - 2840*T1^5*T2^2 + 3023*T1^6*T2^2 - 
      1287*T1^7*T2^2 + 156*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      174*T2^3 - 944*T1*T2^3 + 1513*T1^2*T2^3 + 652*T1^3*T2^3 - 
      6981*T1^4*T2^3 + 9599*T1^5*T2^3 - 4781*T1^6*T2^3 - 1811*T1^7*T2^3 + 
      2854*T1^8*T2^3 - 1343*T1^9*T2^3 + 224*T1^10*T2^3 - 219*T2^4 + 
      824*T1*T2^4 + 503*T1^2*T2^4 - 6981*T1^3*T2^4 + 15893*T1^4*T2^4 - 
      10193*T1^5*T2^4 - 7349*T1^6*T2^4 + 16967*T1^7*T2^4 - 9483*T1^8*T2^4 + 
      1139*T1^9*T2^4 + 1255*T1^10*T2^4 - 584*T1^11*T2^4 + 73*T1^12*T2^4 + 
      174*T2^5 - 224*T1*T2^5 - 2840*T1^2*T2^5 + 9599*T1^3*T2^5 - 
      10193*T1^4*T2^5 - 14142*T1^5*T2^5 + 40003*T1^6*T2^5 - 32509*T1^7*T2^5 + 
      720*T1^8*T2^5 + 13541*T1^9*T2^5 - 8021*T1^10*T2^5 + 1432*T1^11*T2^5 + 
      344*T1^12*T2^5 - 116*T1^13*T2^5 - 84*T2^6 - 256*T1*T2^6 + 
      3023*T1^2*T2^6 - 4781*T1^3*T2^6 - 7349*T1^4*T2^6 + 40003*T1^5*T2^6 - 
      48283*T1^6*T2^6 + 1089*T1^7*T2^6 + 47413*T1^8*T2^6 - 40509*T1^9*T2^6 + 
      7643*T1^10*T2^6 + 4739*T1^11*T2^6 - 3033*T1^12*T2^6 + 256*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1287*T1^2*T2^7 - 
      1811*T1^3*T2^7 + 16967*T1^4*T2^7 - 32509*T1^5*T2^7 + 1089*T1^6*T2^7 + 
      77320*T1^7*T2^7 - 98158*T1^8*T2^7 + 35093*T1^9*T2^7 + 
      24003*T1^10*T2^7 - 20471*T1^11*T2^7 + 4819*T1^12*T2^7 + 
      1233*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 156*T1^2*T2^8 + 2854*T1^3*T2^8 - 9483*T1^4*T2^8 + 
      720*T1^5*T2^8 + 47413*T1^6*T2^8 - 98158*T1^7*T2^8 + 43656*T1^8*T2^8 + 
      58106*T1^9*T2^8 - 85243*T1^10*T2^8 + 28056*T1^11*T2^8 + 
      2813*T1^12*T2^8 - 5218*T1^13*T2^8 + 444*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1343*T1^3*T2^9 + 
      1139*T1^4*T2^9 + 13541*T1^5*T2^9 - 40509*T1^6*T2^9 + 35093*T1^7*T2^9 + 
      58106*T1^8*T2^9 - 117372*T1^9*T2^9 + 69097*T1^10*T2^9 + 
      16003*T1^11*T2^9 - 23897*T1^12*T2^9 + 7769*T1^13*T2^9 + 
      1177*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1255*T1^4*T2^10 - 8021*T1^5*T2^10 + 7643*T1^6*T2^10 + 
      24003*T1^7*T2^10 - 85243*T1^8*T2^10 + 69097*T1^9*T2^10 + 
      10453*T1^10*T2^10 - 56509*T1^11*T2^10 + 22635*T1^12*T2^10 + 
      1499*T1^13*T2^10 - 4801*T1^14*T2^10 + 736*T1^15*T2^10 + 
      140*T1^16*T2^10 - 584*T1^4*T2^11 + 1432*T1^5*T2^11 + 4739*T1^6*T2^11 - 
      20471*T1^7*T2^11 + 28056*T1^8*T2^11 + 16003*T1^9*T2^11 - 
      56509*T1^10*T2^11 + 42918*T1^11*T2^11 + 3263*T1^12*T2^11 - 
      12881*T1^13*T2^11 + 5704*T1^14*T2^11 - 16*T1^15*T2^11 - 
      290*T1^16*T2^11 + 73*T1^4*T2^12 + 344*T1^5*T2^12 - 3033*T1^6*T2^12 + 
      4819*T1^7*T2^12 + 2813*T1^8*T2^12 - 23897*T1^9*T2^12 + 
      22635*T1^10*T2^12 + 3263*T1^11*T2^12 - 22563*T1^12*T2^12 + 
      12939*T1^13*T2^12 - 2281*T1^14*T2^12 - 1064*T1^15*T2^12 + 
      365*T1^16*T2^12 - 116*T1^5*T2^13 + 256*T1^6*T2^13 + 1233*T1^7*T2^13 - 
      5218*T1^8*T2^13 + 7769*T1^9*T2^13 + 1499*T1^10*T2^13 - 
      12881*T1^11*T2^13 + 12939*T1^12*T2^13 - 3016*T1^13*T2^13 - 
      1623*T1^14*T2^13 + 1424*T1^15*T2^13 - 290*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 444*T1^8*T2^14 + 1177*T1^9*T2^14 - 4801*T1^10*T2^14 + 
      5704*T1^11*T2^14 - 2281*T1^12*T2^14 - 1623*T1^13*T2^14 + 
      1956*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 736*T1^10*T2^15 - 16*T1^11*T2^15 - 
      1064*T1^12*T2^15 + 1424*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 290*T1^11*T2^16 + 365*T1^12*T2^16 - 290*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 192] -> 
  {(2 - 15*T + 43*T^2 - 59*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-15 + 112*T1 - 320*T1^2 + 439*T1^3 - 320*T1^4 + 112*T1^5 - 15*T1^6 + 
     112*T2 - 784*T1*T2 + 2002*T1^2*T2 - 2178*T1^3*T2 + 882*T1^4*T2 + 
     262*T1^5*T2 - 274*T1^6*T2 + 52*T1^7*T2 - 320*T2^2 + 2002*T1*T2^2 - 
     3932*T1^2*T2^2 + 1013*T1^3*T2^2 + 4940*T1^4*T2^2 - 6555*T1^5*T2^2 + 
     3120*T1^6*T2^2 - 578*T1^7*T2^2 + 24*T1^8*T2^2 + 439*T2^3 - 
     2178*T1*T2^3 + 1013*T1^2*T2^3 + 11649*T1^3*T2^3 - 25002*T1^4*T2^3 + 
     20256*T1^5*T2^3 - 4167*T1^6*T2^3 - 3244*T1^7*T2^3 + 1842*T1^8*T2^3 - 
     269*T1^9*T2^3 - 320*T2^4 + 882*T1*T2^4 + 4940*T1^2*T2^4 - 
     25002*T1^3*T2^4 + 35106*T1^4*T2^4 - 6024*T1^5*T2^4 - 28670*T1^6*T2^4 + 
     27272*T1^7*T2^4 - 6818*T1^8*T2^4 - 738*T1^9*T2^4 + 368*T1^10*T2^4 + 
     112*T2^5 + 262*T1*T2^5 - 6555*T1^2*T2^5 + 20256*T1^3*T2^5 - 
     6024*T1^4*T2^5 - 59388*T1^5*T2^5 + 89706*T1^6*T2^5 - 41585*T1^7*T2^5 - 
     10970*T1^8*T2^5 + 10946*T1^9*T2^5 - 1358*T1^10*T2^5 - 188*T1^11*T2^5 - 
     15*T2^6 - 274*T1*T2^6 + 3120*T1^2*T2^6 - 4167*T1^3*T2^6 - 
     28670*T1^4*T2^6 + 89706*T1^5*T2^6 - 61560*T1^6*T2^6 - 36466*T1^7*T2^6 + 
     70880*T1^8*T2^6 - 22353*T1^9*T2^6 - 1952*T1^10*T2^6 + 1166*T1^11*T2^6 + 
     33*T1^12*T2^6 + 52*T1*T2^7 - 578*T1^2*T2^7 - 3244*T1^3*T2^7 + 
     27272*T1^4*T2^7 - 41585*T1^5*T2^7 - 36466*T1^6*T2^7 + 112628*T1^7*T2^7 - 
     77146*T1^8*T2^7 - 3954*T1^9*T2^7 + 14257*T1^10*T2^7 - 2198*T1^11*T2^7 - 
     248*T1^12*T2^7 + 24*T1^2*T2^8 + 1842*T1^3*T2^8 - 6818*T1^4*T2^8 - 
     10970*T1^5*T2^8 + 70880*T1^6*T2^8 - 77146*T1^7*T2^8 + 7104*T1^8*T2^8 + 
     41304*T1^9*T2^8 - 18576*T1^10*T2^8 + 222*T1^11*T2^8 + 712*T1^12*T2^8 - 
     269*T1^3*T2^9 - 738*T1^4*T2^9 + 10946*T1^5*T2^9 - 22353*T1^6*T2^9 - 
     3954*T1^7*T2^9 + 41304*T1^8*T2^9 - 38169*T1^9*T2^9 + 6689*T1^10*T2^9 + 
     3282*T1^11*T2^9 - 977*T1^12*T2^9 + 368*T1^4*T2^10 - 1358*T1^5*T2^10 - 
     1952*T1^6*T2^10 + 14257*T1^7*T2^10 - 18576*T1^8*T2^10 + 
     6689*T1^9*T2^10 + 5100*T1^10*T2^10 - 3938*T1^11*T2^10 + 
     712*T1^12*T2^10 - 188*T1^5*T2^11 + 1166*T1^6*T2^11 - 2198*T1^7*T2^11 + 
     222*T1^8*T2^11 + 3282*T1^9*T2^11 - 3938*T1^10*T2^11 + 1676*T1^11*T2^11 - 
     248*T1^12*T2^11 + 33*T1^6*T2^12 - 248*T1^7*T2^12 + 712*T1^8*T2^12 - 
     977*T1^9*T2^12 + 712*T1^10*T2^12 - 248*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 193] -> 
  {(1 - 7*T + 16*T^2 - 19*T^3 + 19*T^4 - 19*T^5 + 16*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 32*T1^2 + 38*T1^3 - 38*T1^4 + 38*T1^5 - 32*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 175*T1^2*T2 - 154*T1^3*T2 + 133*T1^4*T2 - 
     133*T1^5*T2 + 91*T1^6*T2 + 14*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     32*T2^2 + 175*T1*T2^2 - 164*T1^2*T2^2 - 189*T1^3*T2^2 + 334*T1^4*T2^2 - 
     332*T1^5*T2^2 + 430*T1^6*T2^2 - 573*T1^7*T2^2 + 316*T1^8*T2^2 - 
     49*T1^9*T2^2 + 38*T2^3 - 154*T1*T2^3 - 189*T1^2*T2^3 + 1055*T1^3*T2^3 - 
     1230*T1^4*T2^3 + 1083*T1^5*T2^3 - 1178*T1^6*T2^3 + 1208*T1^7*T2^3 - 
     381*T1^8*T2^3 - 205*T1^9*T2^3 + 133*T1^10*T2^3 - 19*T1^11*T2^3 - 
     38*T2^4 + 133*T1*T2^4 + 334*T1^2*T2^4 - 1230*T1^3*T2^4 + 894*T1^4*T2^4 - 
     213*T1^5*T2^4 + 332*T1^6*T2^4 - 327*T1^7*T2^4 - 930*T1^8*T2^4 + 
     1316*T1^9*T2^4 - 312*T1^10*T2^4 - 133*T1^11*T2^4 + 38*T1^12*T2^4 + 
     38*T2^5 - 133*T1*T2^5 - 332*T1^2*T2^5 + 1083*T1^3*T2^5 - 213*T1^4*T2^5 - 
     622*T1^5*T2^5 - 142*T1^6*T2^5 + 86*T1^7*T2^5 + 1544*T1^8*T2^5 - 
     1030*T1^9*T2^5 - 1064*T1^10*T2^5 + 637*T1^11*T2^5 + 133*T1^12*T2^5 - 
     57*T1^13*T2^5 - 32*T2^6 + 91*T1*T2^6 + 430*T1^2*T2^6 - 1178*T1^3*T2^6 + 
     332*T1^4*T2^6 - 142*T1^5*T2^6 + 1333*T1^6*T2^6 - 173*T1^7*T2^6 - 
     1787*T1^8*T2^6 + 314*T1^9*T2^6 + 1168*T1^10*T2^6 + 1254*T1^11*T2^6 - 
     1150*T1^12*T2^6 - 49*T1^13*T2^6 + 64*T1^14*T2^6 + 14*T2^7 + 14*T1*T2^7 - 
     573*T1^2*T2^7 + 1208*T1^3*T2^7 - 327*T1^4*T2^7 + 86*T1^5*T2^7 - 
     173*T1^6*T2^7 - 2420*T1^7*T2^7 + 3294*T1^8*T2^7 - 834*T1^9*T2^7 + 
     314*T1^10*T2^7 - 2322*T1^11*T2^7 - 798*T1^12*T2^7 + 1651*T1^13*T2^7 - 
     203*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 316*T1^2*T2^8 - 
     381*T1^3*T2^8 - 930*T1^4*T2^8 + 1544*T1^5*T2^8 - 1787*T1^6*T2^8 + 
     3294*T1^7*T2^8 - 804*T1^8*T2^8 - 2474*T1^9*T2^8 + 2523*T1^10*T2^8 - 
     1648*T1^11*T2^8 + 4966*T1^12*T2^8 - 2275*T1^13*T2^8 - 590*T1^14*T2^8 + 
     203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 49*T1^2*T2^9 - 
     205*T1^3*T2^9 + 1316*T1^4*T2^9 - 1030*T1^5*T2^9 + 314*T1^6*T2^9 - 
     834*T1^7*T2^9 - 2474*T1^8*T2^9 + 3240*T1^9*T2^9 - 1495*T1^10*T2^9 + 
     542*T1^11*T2^9 - 3025*T1^12*T2^9 - 690*T1^13*T2^9 + 2019*T1^14*T2^9 - 
     266*T1^15*T2^9 - 42*T1^16*T2^9 + 133*T1^3*T2^10 - 312*T1^4*T2^10 - 
     1064*T1^5*T2^10 + 1168*T1^6*T2^10 + 314*T1^7*T2^10 + 2523*T1^8*T2^10 - 
     1495*T1^9*T2^10 - 597*T1^10*T2^10 + 770*T1^11*T2^10 + 2004*T1^12*T2^10 + 
     1368*T1^13*T2^10 - 1892*T1^14*T2^10 - 7*T1^15*T2^10 + 96*T1^16*T2^10 - 
     19*T1^3*T2^11 - 133*T1^4*T2^11 + 637*T1^5*T2^11 + 1254*T1^6*T2^11 - 
     2322*T1^7*T2^11 - 1648*T1^8*T2^11 + 542*T1^9*T2^11 + 770*T1^10*T2^11 + 
     518*T1^11*T2^11 - 3139*T1^12*T2^11 - 893*T1^13*T2^11 + 
     1606*T1^14*T2^11 + 133*T1^15*T2^11 - 114*T1^16*T2^11 + 38*T1^4*T2^12 + 
     133*T1^5*T2^12 - 1150*T1^6*T2^12 - 798*T1^7*T2^12 + 4966*T1^8*T2^12 - 
     3025*T1^9*T2^12 + 2004*T1^10*T2^12 - 3139*T1^11*T2^12 + 
     3142*T1^12*T2^12 + 1748*T1^13*T2^12 - 1796*T1^14*T2^12 - 
     133*T1^15*T2^12 + 114*T1^16*T2^12 - 57*T1^5*T2^13 - 49*T1^6*T2^13 + 
     1651*T1^7*T2^13 - 2275*T1^8*T2^13 - 690*T1^9*T2^13 + 1368*T1^10*T2^13 - 
     893*T1^11*T2^13 + 1748*T1^12*T2^13 - 3711*T1^13*T2^13 + 
     1635*T1^14*T2^13 + 238*T1^15*T2^13 - 114*T1^16*T2^13 + 64*T1^6*T2^14 - 
     203*T1^7*T2^14 - 590*T1^8*T2^14 + 2019*T1^9*T2^14 - 1892*T1^10*T2^14 + 
     1606*T1^11*T2^14 - 1796*T1^12*T2^14 + 1635*T1^13*T2^14 - 
     110*T1^14*T2^14 - 427*T1^15*T2^14 + 96*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 266*T1^9*T2^15 - 7*T1^10*T2^15 + 133*T1^11*T2^15 - 
     133*T1^12*T2^15 + 238*T1^13*T2^15 - 427*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 96*T1^10*T2^16 - 
     114*T1^11*T2^16 + 114*T1^12*T2^16 - 114*T1^13*T2^16 + 96*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 194] -> 
  {(2 - 15*T + 39*T^2 - 51*T^3 + 39*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-15 + 113*T1 - 296*T1^2 + 389*T1^3 - 296*T1^4 + 113*T1^5 - 15*T1^6 + 
     113*T2 - 798*T1*T2 + 1827*T1^2*T2 - 1869*T1^3*T2 + 831*T1^4*T2 + 
     207*T1^5*T2 - 288*T1^6*T2 + 53*T1^7*T2 - 296*T2^2 + 1827*T1*T2^2 - 
     2740*T1^2*T2^2 - 583*T1^3*T2^2 + 5144*T1^4*T2^2 - 6199*T1^5*T2^2 + 
     3032*T1^6*T2^2 - 513*T1^7*T2^2 + 16*T1^8*T2^2 + 389*T2^3 - 
     1869*T1*T2^3 - 583*T1^2*T2^3 + 11797*T1^3*T2^3 - 20248*T1^4*T2^3 + 
     15878*T1^5*T2^3 - 3575*T1^6*T2^3 - 2572*T1^7*T2^3 + 1551*T1^8*T2^3 - 
     223*T1^9*T2^3 - 296*T2^4 + 831*T1*T2^4 + 5144*T1^2*T2^4 - 
     20248*T1^3*T2^4 + 22478*T1^4*T2^4 - 1150*T1^5*T2^4 - 21058*T1^6*T2^4 + 
     20450*T1^7*T2^4 - 5638*T1^8*T2^4 - 789*T1^9*T2^4 + 328*T1^10*T2^4 + 
     113*T2^5 + 207*T1*T2^5 - 6199*T1^2*T2^5 + 15878*T1^3*T2^5 - 
     1150*T1^4*T2^5 - 37264*T1^5*T2^5 + 49526*T1^6*T2^5 - 21391*T1^7*T2^5 - 
     11104*T1^8*T2^5 + 10298*T1^9*T2^5 - 1053*T1^10*T2^5 - 187*T1^11*T2^5 - 
     15*T2^6 - 288*T1*T2^6 + 3032*T1^2*T2^6 - 3575*T1^3*T2^6 - 
     21058*T1^4*T2^6 + 49526*T1^5*T2^6 - 23904*T1^6*T2^6 - 27046*T1^7*T2^6 + 
     46532*T1^8*T2^6 - 15329*T1^9*T2^6 - 3448*T1^10*T2^6 + 1152*T1^11*T2^6 + 
     33*T1^12*T2^6 + 53*T1*T2^7 - 513*T1^2*T2^7 - 2572*T1^3*T2^7 + 
     20450*T1^4*T2^7 - 21391*T1^5*T2^7 - 27046*T1^6*T2^7 + 59744*T1^7*T2^7 - 
     41632*T1^8*T2^7 - 6532*T1^9*T2^7 + 13925*T1^10*T2^7 - 1773*T1^11*T2^7 - 
     247*T1^12*T2^7 + 16*T1^2*T2^8 + 1551*T1^3*T2^8 - 5638*T1^4*T2^8 - 
     11104*T1^5*T2^8 + 46532*T1^6*T2^8 - 41632*T1^7*T2^8 + 2996*T1^8*T2^8 + 
     29594*T1^9*T2^8 - 16420*T1^10*T2^8 - 69*T1^11*T2^8 + 640*T1^12*T2^8 - 
     223*T1^3*T2^9 - 789*T1^4*T2^9 + 10298*T1^5*T2^9 - 15329*T1^6*T2^9 - 
     6532*T1^7*T2^9 + 29594*T1^8*T2^9 - 30701*T1^9*T2^9 + 8309*T1^10*T2^9 + 
     2631*T1^11*T2^9 - 835*T1^12*T2^9 + 328*T1^4*T2^10 - 1053*T1^5*T2^10 - 
     3448*T1^6*T2^10 + 13925*T1^7*T2^10 - 16420*T1^8*T2^10 + 
     8309*T1^9*T2^10 + 2324*T1^10*T2^10 - 3393*T1^11*T2^10 + 
     640*T1^12*T2^10 - 187*T1^5*T2^11 + 1152*T1^6*T2^11 - 1773*T1^7*T2^11 - 
     69*T1^8*T2^11 + 2631*T1^9*T2^11 - 3393*T1^10*T2^11 + 1662*T1^11*T2^11 - 
     247*T1^12*T2^11 + 33*T1^6*T2^12 - 247*T1^7*T2^12 + 640*T1^8*T2^12 - 
     835*T1^9*T2^12 + 640*T1^10*T2^12 - 247*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 195] -> 
  {((1 - T + T^2)*(1 - 6*T + 11*T^2 - 11*T^3 + 11*T^4 - 6*T^5 + T^6))/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 56*T1^3 - 66*T1^4 + 56*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 266*T1^3*T2 + 266*T1^4*T2 - 
     161*T1^5*T2 + 56*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 300*T1^2*T2^2 + 113*T1^3*T2^2 + 204*T1^4*T2^2 - 
     638*T1^5*T2^2 + 744*T1^6*T2^2 - 643*T1^7*T2^2 + 312*T1^8*T2^2 - 
     49*T1^9*T2^2 + 56*T2^3 - 266*T1*T2^3 + 113*T1^2*T2^3 + 662*T1^3*T2^3 - 
     1443*T1^4*T2^3 + 2095*T1^5*T2^3 - 1727*T1^6*T2^3 + 993*T1^7*T2^3 - 
     52*T1^8*T2^3 - 391*T1^9*T2^3 + 196*T1^10*T2^3 - 28*T1^11*T2^3 - 
     66*T2^4 + 266*T1*T2^4 + 204*T1^2*T2^4 - 1443*T1^3*T2^4 + 
     2124*T1^4*T2^4 - 2146*T1^5*T2^4 + 560*T1^6*T2^4 + 962*T1^7*T2^4 - 
     1884*T1^8*T2^4 + 1525*T1^9*T2^4 - 164*T1^10*T2^4 - 266*T1^11*T2^4 + 
     66*T1^12*T2^4 + 56*T2^5 - 161*T1*T2^5 - 638*T1^2*T2^5 + 2095*T1^3*T2^5 - 
     2146*T1^4*T2^5 + 1305*T1^5*T2^5 + 745*T1^6*T2^5 - 1621*T1^7*T2^5 + 
     829*T1^8*T2^5 + 731*T1^9*T2^5 - 2427*T1^10*T2^5 + 1189*T1^11*T2^5 + 
     126*T1^12*T2^5 - 84*T1^13*T2^5 - 36*T2^6 + 56*T1*T2^6 + 744*T1^2*T2^6 - 
     1727*T1^3*T2^6 + 560*T1^4*T2^6 + 745*T1^5*T2^6 - 1736*T1^6*T2^6 + 
     996*T1^7*T2^6 + 1456*T1^8*T2^6 - 2139*T1^9*T2^6 + 2368*T1^10*T2^6 + 
     1045*T1^11*T2^6 - 1612*T1^12*T2^6 + 84*T1^13*T2^6 + 72*T1^14*T2^6 + 
     14*T2^7 + 28*T1*T2^7 - 643*T1^2*T2^7 + 993*T1^3*T2^7 + 962*T1^4*T2^7 - 
     1621*T1^5*T2^7 + 996*T1^6*T2^7 - 11*T1^7*T2^7 - 2181*T1^8*T2^7 + 
     408*T1^9*T2^7 - 291*T1^10*T2^7 - 2839*T1^11*T2^7 + 685*T1^12*T2^7 + 
     1373*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     312*T1^2*T2^8 - 52*T1^3*T2^8 - 1884*T1^4*T2^8 + 829*T1^5*T2^8 + 
     1456*T1^6*T2^8 - 2181*T1^7*T2^8 + 4224*T1^8*T2^8 - 935*T1^9*T2^8 + 
     1912*T1^10*T2^8 + 675*T1^11*T2^8 + 2500*T1^12*T2^8 - 2488*T1^13*T2^8 - 
     306*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 391*T1^3*T2^9 + 1525*T1^4*T2^9 + 731*T1^5*T2^9 - 
     2139*T1^6*T2^9 + 408*T1^7*T2^9 - 935*T1^8*T2^9 - 3105*T1^9*T2^9 - 
     180*T1^10*T2^9 - 809*T1^11*T2^9 - 3070*T1^12*T2^9 + 1217*T1^13*T2^9 + 
     1625*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 196*T1^3*T2^10 - 
     164*T1^4*T2^10 - 2427*T1^5*T2^10 + 2368*T1^6*T2^10 - 291*T1^7*T2^10 + 
     1912*T1^8*T2^10 - 180*T1^9*T2^10 + 5104*T1^10*T2^10 - 3175*T1^11*T2^10 + 
     4176*T1^12*T2^10 + 345*T1^13*T2^10 - 2520*T1^14*T2^10 + 
     224*T1^15*T2^10 + 108*T1^16*T2^10 - 28*T1^3*T2^11 - 266*T1^4*T2^11 + 
     1189*T1^5*T2^11 + 1045*T1^6*T2^11 - 2839*T1^7*T2^11 + 675*T1^8*T2^11 - 
     809*T1^9*T2^11 - 3175*T1^10*T2^11 + 199*T1^11*T2^11 + 38*T1^12*T2^11 - 
     3477*T1^13*T2^11 + 3016*T1^14*T2^11 + 21*T1^15*T2^11 - 168*T1^16*T2^11 + 
     66*T1^4*T2^12 + 126*T1^5*T2^12 - 1612*T1^6*T2^12 + 685*T1^7*T2^12 + 
     2500*T1^8*T2^12 - 3070*T1^9*T2^12 + 4176*T1^10*T2^12 + 38*T1^11*T2^12 - 
     1508*T1^12*T2^12 + 3653*T1^13*T2^12 - 1980*T1^14*T2^12 - 
     406*T1^15*T2^12 + 198*T1^16*T2^12 - 84*T1^5*T2^13 + 84*T1^6*T2^13 + 
     1373*T1^7*T2^13 - 2488*T1^8*T2^13 + 1217*T1^9*T2^13 + 345*T1^10*T2^13 - 
     3477*T1^11*T2^13 + 3653*T1^12*T2^13 - 3202*T1^13*T2^13 + 
     869*T1^14*T2^13 + 546*T1^15*T2^13 - 168*T1^16*T2^13 + 72*T1^6*T2^14 - 
     259*T1^7*T2^14 - 306*T1^8*T2^14 + 1625*T1^9*T2^14 - 2520*T1^10*T2^14 + 
     3016*T1^11*T2^14 - 1980*T1^12*T2^14 + 869*T1^13*T2^14 + 
     306*T1^14*T2^14 - 511*T1^15*T2^14 + 108*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 336*T1^9*T2^15 + 224*T1^10*T2^15 + 21*T1^11*T2^15 - 
     406*T1^12*T2^15 + 546*T1^13*T2^15 - 511*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 108*T1^10*T2^16 - 
     168*T1^11*T2^16 + 198*T1^12*T2^16 - 168*T1^13*T2^16 + 108*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 196] -> 
  {(2 - 13*T + 30*T^2 - 37*T^3 + 30*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 97*T1 - 224*T1^2 + 277*T1^3 - 224*T1^4 + 97*T1^5 - 15*T1^6 + 
     97*T2 - 582*T1*T2 + 1159*T1^2*T2 - 1123*T1^3*T2 + 619*T1^4*T2 + 
     41*T1^5*T2 - 192*T1^6*T2 + 45*T1^7*T2 - 224*T2^2 + 1159*T1*T2^2 - 
     1463*T1^2*T2^2 - 274*T1^3*T2^2 + 2227*T1^4*T2^2 - 3154*T1^5*T2^2 + 
     1897*T1^6*T2^2 - 401*T1^7*T2^2 + 16*T1^8*T2^2 + 277*T2^3 - 
     1123*T1*T2^3 - 274*T1^2*T2^3 + 5300*T1^3*T2^3 - 8699*T1^4*T2^3 + 
     7885*T1^5*T2^3 - 2812*T1^6*T2^3 - 1084*T1^7*T2^3 + 983*T1^8*T2^3 - 
     167*T1^9*T2^3 - 224*T2^4 + 619*T1*T2^4 + 2227*T1^2*T2^4 - 
     8699*T1^3*T2^4 + 9624*T1^4*T2^4 - 2546*T1^5*T2^4 - 6744*T1^6*T2^4 + 
     9357*T1^7*T2^4 - 3079*T1^8*T2^4 - 577*T1^9*T2^4 + 256*T1^10*T2^4 + 
     97*T2^5 + 41*T1*T2^5 - 3154*T1^2*T2^5 + 7885*T1^3*T2^5 - 
     2546*T1^4*T2^5 - 10408*T1^5*T2^5 + 15602*T1^6*T2^5 - 8546*T1^7*T2^5 - 
     5755*T1^8*T2^5 + 5936*T1^9*T2^5 - 609*T1^10*T2^5 - 163*T1^11*T2^5 - 
     15*T2^6 - 192*T1*T2^6 + 1897*T1^2*T2^6 - 2812*T1^3*T2^6 - 
     6744*T1^4*T2^6 + 15602*T1^5*T2^6 - 6096*T1^6*T2^6 - 8982*T1^7*T2^6 + 
     19364*T1^8*T2^6 - 6820*T1^9*T2^6 - 2571*T1^10*T2^6 + 848*T1^11*T2^6 + 
     33*T1^12*T2^6 + 45*T1*T2^7 - 401*T1^2*T2^7 - 1084*T1^3*T2^7 + 
     9357*T1^4*T2^7 - 8546*T1^5*T2^7 - 8982*T1^6*T2^7 + 17028*T1^7*T2^7 - 
     14546*T1^8*T2^7 - 4283*T1^9*T2^7 + 8006*T1^10*T2^7 - 1051*T1^11*T2^7 - 
     215*T1^12*T2^7 + 16*T1^2*T2^8 + 983*T1^3*T2^8 - 3079*T1^4*T2^8 - 
     5755*T1^5*T2^8 + 19364*T1^6*T2^8 - 14546*T1^7*T2^8 + 2996*T1^8*T2^8 + 
     12301*T1^9*T2^8 - 8385*T1^10*T2^8 - 213*T1^11*T2^8 + 496*T1^12*T2^8 - 
     167*T1^3*T2^9 - 577*T1^4*T2^9 + 5936*T1^5*T2^9 - 6820*T1^6*T2^9 - 
     4283*T1^7*T2^9 + 12301*T1^8*T2^9 - 14932*T1^9*T2^9 + 5126*T1^10*T2^9 + 
     1529*T1^11*T2^9 - 611*T1^12*T2^9 + 256*T1^4*T2^10 - 609*T1^5*T2^10 - 
     2571*T1^6*T2^10 + 8006*T1^7*T2^10 - 8385*T1^8*T2^10 + 5126*T1^9*T2^10 + 
     789*T1^10*T2^10 - 2169*T1^11*T2^10 + 496*T1^12*T2^10 - 163*T1^5*T2^11 + 
     848*T1^6*T2^11 - 1051*T1^7*T2^11 - 213*T1^8*T2^11 + 1529*T1^9*T2^11 - 
     2169*T1^10*T2^11 + 1238*T1^11*T2^11 - 215*T1^12*T2^11 + 33*T1^6*T2^12 - 
     215*T1^7*T2^12 + 496*T1^8*T2^12 - 611*T1^9*T2^12 + 496*T1^10*T2^12 - 
     215*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 197] -> {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   (-45 + 251*T1 - 425*T1^2 + 251*T1^3 - 45*T1^4 + 251*T2 - 1299*T1*T2 + 
     1833*T1^2*T2 - 513*T1^3*T2 - 279*T1^4*T2 + 98*T1^5*T2 - 425*T2^2 + 
     1833*T1*T2^2 - 1024*T1^2*T2^2 - 3022*T1^3*T2^2 + 3500*T1^4*T2^2 - 
     1125*T1^5*T2^2 + 97*T1^6*T2^2 + 251*T2^3 - 513*T1*T2^3 - 
     3022*T1^2*T2^3 + 9962*T1^3*T2^3 - 9656*T1^4*T2^3 + 2401*T1^5*T2^3 + 
     609*T1^6*T2^3 - 208*T1^7*T2^3 - 45*T2^4 - 279*T1*T2^4 + 3500*T1^2*T2^4 - 
     9656*T1^3*T2^4 + 7056*T1^4*T2^4 + 4760*T1^5*T2^4 - 5282*T1^6*T2^4 + 
     843*T1^7*T2^4 + 63*T1^8*T2^4 + 98*T1*T2^5 - 1125*T1^2*T2^5 + 
     2401*T1^3*T2^5 + 4760*T1^4*T2^5 - 14858*T1^5*T2^5 + 7824*T1^6*T2^5 - 
     3*T1^7*T2^5 - 361*T1^8*T2^5 + 97*T1^2*T2^6 + 609*T1^3*T2^6 - 
     5282*T1^4*T2^6 + 7824*T1^5*T2^6 - 758*T1^6*T2^6 - 2349*T1^7*T2^6 + 
     619*T1^8*T2^6 - 208*T1^3*T2^7 + 843*T1^4*T2^7 - 3*T1^5*T2^7 - 
     2349*T1^6*T2^7 + 1863*T1^7*T2^7 - 361*T1^8*T2^7 + 63*T1^4*T2^8 - 
     361*T1^5*T2^8 + 619*T1^6*T2^8 - 361*T1^7*T2^8 + 63*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 198] -> 
  {-((2 - 16*T + 50*T^2 - 73*T^3 + 50*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-25 + 199*T1 - 622*T1^2 + 909*T1^3 - 622*T1^4 + 199*T1^5 - 25*T1^6 + 
      199*T2 - 1448*T1*T2 + 3874*T1^2*T2 - 3880*T1^3*T2 + 56*T1^4*T2 + 
      1762*T1^5*T2 - 872*T1^6*T2 + 135*T1^7*T2 - 622*T2^2 + 3874*T1*T2^2 - 
      7182*T1^2*T2^2 - 2134*T1^3*T2^2 + 17720*T1^4*T2^2 - 13534*T1^5*T2^2 + 
      2418*T1^6*T2^2 + 674*T1^7*T2^2 - 222*T1^8*T2^2 + 909*T2^3 - 
      3880*T1*T2^3 - 2134*T1^2*T2^3 + 35720*T1^3*T2^3 - 55444*T1^4*T2^3 + 
      14048*T1^5*T2^3 + 15770*T1^6*T2^3 - 9634*T1^7*T2^3 + 1528*T1^8*T2^3 + 
      33*T1^9*T2^3 - 622*T2^4 + 56*T1*T2^4 + 17720*T1^2*T2^4 - 
      55444*T1^3*T2^4 + 30671*T1^4*T2^4 + 70059*T1^5*T2^4 - 83281*T1^6*T2^4 + 
      27484*T1^7*T2^4 + 344*T1^8*T2^4 - 1672*T1^9*T2^4 + 178*T1^10*T2^4 + 
      199*T2^5 + 1762*T1*T2^5 - 13534*T1^2*T2^5 + 14048*T1^3*T2^5 + 
      70059*T1^4*T2^5 - 176288*T1^5*T2^5 + 117142*T1^6*T2^5 + 
      1159*T1^7*T2^5 - 28572*T1^8*T2^5 + 9566*T1^9*T2^5 - 478*T1^10*T2^5 - 
      121*T1^11*T2^5 - 25*T2^6 - 872*T1*T2^6 + 2418*T1^2*T2^6 + 
      15770*T1^3*T2^6 - 83281*T1^4*T2^6 + 117142*T1^5*T2^6 + 2100*T1^6*T2^6 - 
      119090*T1^7*T2^6 + 83167*T1^8*T2^6 - 14782*T1^9*T2^6 - 
      2766*T1^10*T2^6 + 792*T1^11*T2^6 + 23*T1^12*T2^6 + 135*T1*T2^7 + 
      674*T1^2*T2^7 - 9634*T1^3*T2^7 + 27484*T1^4*T2^7 + 1159*T1^5*T2^7 - 
      119090*T1^6*T2^7 + 174340*T1^7*T2^7 - 67741*T1^8*T2^7 - 
      15136*T1^9*T2^7 + 13466*T1^10*T2^7 - 1566*T1^11*T2^7 - 185*T1^12*T2^7 - 
      222*T1^2*T2^8 + 1528*T1^3*T2^8 + 344*T1^4*T2^8 - 28572*T1^5*T2^8 + 
      83167*T1^6*T2^8 - 67741*T1^7*T2^8 - 30785*T1^8*T2^8 + 54356*T1^9*T2^8 - 
      17032*T1^10*T2^8 - 200*T1^11*T2^8 + 578*T1^12*T2^8 + 33*T1^3*T2^9 - 
      1672*T1^4*T2^9 + 9566*T1^5*T2^9 - 14782*T1^6*T2^9 - 15136*T1^7*T2^9 + 
      54356*T1^8*T2^9 - 34732*T1^9*T2^9 + 2066*T1^10*T2^9 + 3736*T1^11*T2^9 - 
      843*T1^12*T2^9 + 178*T1^4*T2^10 - 478*T1^5*T2^10 - 2766*T1^6*T2^10 + 
      13466*T1^7*T2^10 - 17032*T1^8*T2^10 + 2066*T1^9*T2^10 + 
      6834*T1^10*T2^10 - 3678*T1^11*T2^10 + 578*T1^12*T2^10 - 
      121*T1^5*T2^11 + 792*T1^6*T2^11 - 1566*T1^7*T2^11 - 200*T1^8*T2^11 + 
      3736*T1^9*T2^11 - 3678*T1^10*T2^11 + 1368*T1^11*T2^11 - 
      185*T1^12*T2^11 + 23*T1^6*T2^12 - 185*T1^7*T2^12 + 578*T1^8*T2^12 - 
      843*T1^9*T2^12 + 578*T1^10*T2^12 - 185*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 199] -> 
  {-((5 - 26*T + 56*T^2 - 71*T^3 + 56*T^4 - 26*T^5 + 5*T^6)/T^3), 
   -((-645 + 3335*T1 - 7132*T1^2 + 9021*T1^3 - 7132*T1^4 + 3335*T1^5 - 
      645*T1^6 + 3335*T2 - 14586*T1*T2 + 23102*T1^2*T2 - 17103*T1^3*T2 - 
      593*T1^4*T2 + 12442*T1^5*T2 - 10556*T1^6*T2 + 2685*T1^7*T2 - 
      7132*T2^2 + 23102*T1*T2^2 - 11757*T1^2*T2^2 - 31225*T1^3*T2^2 + 
      67733*T1^4*T2^2 - 56425*T1^5*T2^2 + 16803*T1^6*T2^2 + 8542*T1^7*T2^2 - 
      4332*T1^8*T2^2 + 9021*T2^3 - 17103*T1*T2^3 - 31225*T1^2*T2^3 + 
      91137*T1^3*T2^3 - 88370*T1^4*T2^3 + 9212*T1^5*T2^3 + 52685*T1^6*T2^3 - 
      45729*T1^7*T2^3 + 3307*T1^8*T2^3 + 3696*T1^9*T2^3 - 7132*T2^4 - 
      593*T1*T2^4 + 67733*T1^2*T2^4 - 88370*T1^3*T2^4 + 12440*T1^4*T2^4 + 
      93366*T1^5*T2^4 - 96580*T1^6*T2^4 + 20402*T1^7*T2^4 + 34461*T1^8*T2^4 - 
      11253*T1^9*T2^4 - 1532*T1^10*T2^4 + 3335*T2^5 + 12442*T1*T2^5 - 
      56425*T1^2*T2^5 + 9212*T1^3*T2^5 + 93366*T1^4*T2^5 - 131290*T1^5*T2^5 + 
      35636*T1^6*T2^5 + 62902*T1^7*T2^5 - 65990*T1^8*T2^5 + 863*T1^9*T2^5 + 
      7502*T1^10*T2^5 + 85*T1^11*T2^5 - 645*T2^6 - 10556*T1*T2^6 + 
      16803*T1^2*T2^6 + 52685*T1^3*T2^6 - 96580*T1^4*T2^6 + 35636*T1^5*T2^6 + 
      85548*T1^6*T2^6 - 112600*T1^7*T2^6 + 39708*T1^8*T2^6 + 
      30387*T1^9*T2^6 - 13741*T1^10*T2^6 - 936*T1^11*T2^6 + 105*T1^12*T2^6 + 
      2685*T1*T2^7 + 8542*T1^2*T2^7 - 45729*T1^3*T2^7 + 20402*T1^4*T2^7 + 
      62902*T1^5*T2^7 - 112600*T1^6*T2^7 + 54326*T1^7*T2^7 + 
      32438*T1^8*T2^7 - 54800*T1^9*T2^7 + 11559*T1^10*T2^7 + 
      3602*T1^11*T2^7 - 565*T1^12*T2^7 - 4332*T1^2*T2^8 + 3307*T1^3*T2^8 + 
      34461*T1^4*T2^8 - 65990*T1^5*T2^8 + 39708*T1^6*T2^8 + 32438*T1^7*T2^8 - 
      69312*T1^8*T2^8 + 42782*T1^9*T2^8 + 1189*T1^10*T2^8 - 7353*T1^11*T2^8 + 
      1268*T1^12*T2^8 + 3696*T1^3*T2^9 - 11253*T1^4*T2^9 + 863*T1^5*T2^9 + 
      30387*T1^6*T2^9 - 54800*T1^7*T2^9 + 42782*T1^8*T2^9 - 8065*T1^9*T2^9 - 
      13641*T1^10*T2^9 + 9157*T1^11*T2^9 - 1629*T1^12*T2^9 - 
      1532*T1^4*T2^10 + 7502*T1^5*T2^10 - 13741*T1^6*T2^10 + 
      11559*T1^7*T2^10 + 1189*T1^8*T2^10 - 13641*T1^9*T2^10 + 
      14819*T1^10*T2^10 - 7058*T1^11*T2^10 + 1268*T1^12*T2^10 + 
      85*T1^5*T2^11 - 936*T1^6*T2^11 + 3602*T1^7*T2^11 - 7353*T1^8*T2^11 + 
      9157*T1^9*T2^11 - 7058*T1^10*T2^11 + 3094*T1^11*T2^11 - 
      565*T1^12*T2^11 + 105*T1^6*T2^12 - 565*T1^7*T2^12 + 1268*T1^8*T2^12 - 
      1629*T1^9*T2^12 + 1268*T1^10*T2^12 - 565*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 200] -> 
  {-((1 - 7*T + 24*T^2 - 47*T^3 + 57*T^4 - 47*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 72*T1^2 + 141*T1^3 - 171*T1^4 + 141*T1^5 - 
      72*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 406*T1^2*T2 - 
      651*T1^3*T2 + 539*T1^4*T2 - 189*T1^5*T2 - 154*T1^6*T2 + 189*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 72*T2^2 + 406*T1*T2^2 - 1065*T1^2*T2^2 + 
      1208*T1^3*T2^2 - 116*T1^4*T2^2 - 1013*T1^5*T2^2 + 1468*T1^6*T2^2 - 
      712*T1^7*T2^2 + 39*T1^8*T2^2 + 70*T1^9*T2^2 - 24*T1^10*T2^2 + 
      141*T2^3 - 651*T1*T2^3 + 1208*T1^2*T2^3 + 169*T1^3*T2^3 - 
      3490*T1^4*T2^3 + 4500*T1^5*T2^3 - 2961*T1^6*T2^3 - 586*T1^7*T2^3 + 
      1729*T1^8*T2^3 - 832*T1^9*T2^3 + 168*T1^10*T2^3 - 171*T2^4 + 
      539*T1*T2^4 - 116*T1^2*T2^4 - 3490*T1^3*T2^4 + 7192*T1^4*T2^4 - 
      3433*T1^5*T2^4 - 3444*T1^6*T2^4 + 9161*T1^7*T2^4 - 6360*T1^8*T2^4 + 
      928*T1^9*T2^4 + 750*T1^10*T2^4 - 399*T1^11*T2^4 + 57*T1^12*T2^4 + 
      141*T2^5 - 189*T1*T2^5 - 1013*T1^2*T2^5 + 4500*T1^3*T2^5 - 
      3433*T1^4*T2^5 - 9188*T1^5*T2^5 + 19801*T1^6*T2^5 - 19809*T1^7*T2^5 + 
      5572*T1^8*T2^5 + 5660*T1^9*T2^5 - 4159*T1^10*T2^5 + 598*T1^11*T2^5 + 
      259*T1^12*T2^5 - 94*T1^13*T2^5 - 72*T2^6 - 154*T1*T2^6 + 
      1468*T1^2*T2^6 - 2961*T1^3*T2^6 - 3444*T1^4*T2^6 + 19801*T1^5*T2^6 - 
      23596*T1^6*T2^6 + 6976*T1^7*T2^6 + 17364*T1^8*T2^6 - 22711*T1^9*T2^6 + 
      5840*T1^10*T2^6 + 2703*T1^11*T2^6 - 1552*T1^12*T2^6 + 154*T1^13*T2^6 + 
      72*T1^14*T2^6 + 21*T2^7 + 189*T1*T2^7 - 712*T1^2*T2^7 - 586*T1^3*T2^7 + 
      9161*T1^4*T2^7 - 19809*T1^5*T2^7 + 6976*T1^6*T2^7 + 24942*T1^7*T2^7 - 
      39058*T1^8*T2^7 + 19753*T1^9*T2^7 + 13997*T1^10*T2^7 - 
      13936*T1^11*T2^7 + 2566*T1^12*T2^7 + 608*T1^13*T2^7 - 308*T1^14*T2^7 - 
      28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 39*T1^2*T2^8 + 1729*T1^3*T2^8 - 
      6360*T1^4*T2^8 + 5572*T1^5*T2^8 + 17364*T1^6*T2^8 - 39058*T1^7*T2^8 + 
      17676*T1^8*T2^8 + 21282*T1^9*T2^8 - 43958*T1^10*T2^8 + 
      15280*T1^11*T2^8 + 4648*T1^12*T2^8 - 3301*T1^13*T2^8 + 477*T1^14*T2^8 + 
      161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 70*T1^2*T2^9 - 
      832*T1^3*T2^9 + 928*T1^4*T2^9 + 5660*T1^5*T2^9 - 22711*T1^6*T2^9 + 
      19753*T1^7*T2^9 + 21282*T1^8*T2^9 - 42718*T1^9*T2^9 + 
      32530*T1^10*T2^9 + 11095*T1^11*T2^9 - 17437*T1^12*T2^9 + 
      4080*T1^13*T2^9 + 488*T1^14*T2^9 - 427*T1^15*T2^9 - 35*T1^16*T2^9 - 
      24*T1^2*T2^10 + 168*T1^3*T2^10 + 750*T1^4*T2^10 - 4159*T1^5*T2^10 + 
      5840*T1^6*T2^10 + 13997*T1^7*T2^10 - 43958*T1^8*T2^10 + 
      32530*T1^9*T2^10 - 2998*T1^10*T2^10 - 28515*T1^11*T2^10 + 
      15124*T1^12*T2^10 + 1505*T1^13*T2^10 - 2270*T1^14*T2^10 + 
      476*T1^15*T2^10 + 120*T1^16*T2^10 - 399*T1^4*T2^11 + 598*T1^5*T2^11 + 
      2703*T1^6*T2^11 - 13936*T1^7*T2^11 + 15280*T1^8*T2^11 + 
      11095*T1^9*T2^11 - 28515*T1^10*T2^11 + 30040*T1^11*T2^11 - 
      4843*T1^12*T2^11 - 5956*T1^13*T2^11 + 2209*T1^14*T2^11 + 
      49*T1^15*T2^11 - 235*T1^16*T2^11 + 57*T1^4*T2^12 + 259*T1^5*T2^12 - 
      1552*T1^6*T2^12 + 2566*T1^7*T2^12 + 4648*T1^8*T2^12 - 
      17437*T1^9*T2^12 + 15124*T1^10*T2^12 - 4843*T1^11*T2^12 - 
      8904*T1^12*T2^12 + 6984*T1^13*T2^12 - 686*T1^14*T2^12 - 
      679*T1^15*T2^12 + 285*T1^16*T2^12 - 94*T1^5*T2^13 + 154*T1^6*T2^13 + 
      608*T1^7*T2^13 - 3301*T1^8*T2^13 + 4080*T1^9*T2^13 + 1505*T1^10*T2^13 - 
      5956*T1^11*T2^13 + 6984*T1^12*T2^13 - 1741*T1^13*T2^13 - 
      1432*T1^14*T2^13 + 973*T1^15*T2^13 - 235*T1^16*T2^13 + 72*T1^6*T2^14 - 
      308*T1^7*T2^14 + 477*T1^8*T2^14 + 488*T1^9*T2^14 - 2270*T1^10*T2^14 + 
      2209*T1^11*T2^14 - 686*T1^12*T2^14 - 1432*T1^13*T2^14 + 
      1581*T1^14*T2^14 - 644*T1^15*T2^14 + 120*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 427*T1^9*T2^15 + 476*T1^10*T2^15 + 49*T1^11*T2^15 - 
      679*T1^12*T2^15 + 973*T1^13*T2^15 - 644*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 120*T1^10*T2^16 - 
      235*T1^11*T2^16 + 285*T1^12*T2^16 - 235*T1^13*T2^16 + 120*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 201] -> 
  {-((2 - 13*T + 37*T^2 - 53*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 422*T1^2 + 603*T1^3 - 422*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 2105*T1^2*T2 - 2133*T1^3*T2 + 207*T1^4*T2 + 
      805*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 422*T2^2 + 2105*T1*T2^2 - 
      3798*T1^2*T2^2 + 424*T1^3*T2^2 + 6270*T1^4*T2^2 - 5496*T1^5*T2^2 + 
      1382*T1^6*T2^2 + 181*T1^7*T2^2 - 126*T1^8*T2^2 + 603*T2^3 - 
      2133*T1*T2^3 + 424*T1^2*T2^3 + 11065*T1^3*T2^3 - 19969*T1^4*T2^3 + 
      7421*T1^5*T2^3 + 4505*T1^6*T2^3 - 4127*T1^7*T2^3 + 1039*T1^8*T2^3 - 
      33*T1^9*T2^3 - 422*T2^4 + 207*T1*T2^4 + 6270*T1^2*T2^4 - 
      19969*T1^3*T2^4 + 16772*T1^4*T2^4 + 15188*T1^5*T2^4 - 27988*T1^6*T2^4 + 
      12573*T1^7*T2^4 - 692*T1^8*T2^4 - 885*T1^9*T2^4 + 170*T1^10*T2^4 + 
      149*T2^5 + 805*T1*T2^5 - 5496*T1^2*T2^5 + 7421*T1^3*T2^5 + 
      15188*T1^4*T2^5 - 54842*T1^5*T2^5 + 51448*T1^6*T2^5 - 8307*T1^7*T2^5 - 
      9665*T1^8*T2^5 + 4531*T1^9*T2^5 - 391*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1382*T1^2*T2^6 + 4505*T1^3*T2^6 - 
      27988*T1^4*T2^6 + 51448*T1^5*T2^6 - 23184*T1^6*T2^6 - 34724*T1^7*T2^6 + 
      32902*T1^8*T2^6 - 7349*T1^9*T2^6 - 1042*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 181*T1^2*T2^7 - 4127*T1^3*T2^7 + 
      12573*T1^4*T2^7 - 8307*T1^5*T2^7 - 34724*T1^6*T2^7 + 71566*T1^7*T2^7 - 
      31802*T1^8*T2^7 - 4513*T1^9*T2^7 + 5900*T1^10*T2^7 - 1015*T1^11*T2^7 - 
      163*T1^12*T2^7 - 126*T1^2*T2^8 + 1039*T1^3*T2^8 - 692*T1^4*T2^8 - 
      9665*T1^5*T2^8 + 32902*T1^6*T2^8 - 31802*T1^7*T2^8 - 11858*T1^8*T2^8 + 
      22877*T1^9*T2^8 - 7654*T1^10*T2^8 - 53*T1^11*T2^8 + 466*T1^12*T2^8 - 
      33*T1^3*T2^9 - 885*T1^4*T2^9 + 4531*T1^5*T2^9 - 7349*T1^6*T2^9 - 
      4513*T1^7*T2^9 + 22877*T1^8*T2^9 - 13909*T1^9*T2^9 - 20*T1^10*T2^9 + 
      2287*T1^11*T2^9 - 669*T1^12*T2^9 + 170*T1^4*T2^10 - 391*T1^5*T2^10 - 
      1042*T1^6*T2^10 + 5900*T1^7*T2^10 - 7654*T1^8*T2^10 - 20*T1^9*T2^10 + 
      4138*T1^10*T2^10 - 2315*T1^11*T2^10 + 466*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 1015*T1^7*T2^11 - 53*T1^8*T2^11 + 
      2287*T1^9*T2^11 - 2315*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 466*T1^8*T2^12 - 
      669*T1^9*T2^12 + 466*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 202] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6))/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 232*T1^3 - 300*T1^4 + 232*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1184*T1^3*T2 + 
     1008*T1^4*T2 - 56*T1^5*T2 - 496*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1567*T1^3*T2^2 + 
     1167*T1^4*T2^2 - 4648*T1^5*T2^2 + 3799*T1^6*T2^2 - 1233*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 232*T2^3 - 
     1184*T1*T2^3 + 1567*T1^2*T2^3 + 1848*T1^3*T2^3 - 9498*T1^4*T2^3 + 
     12546*T1^5*T2^3 - 2282*T1^6*T2^3 - 4676*T1^7*T2^3 + 4050*T1^8*T2^3 - 
     1289*T1^9*T2^3 - 16*T1^10*T2^3 + 58*T1^11*T2^3 - 300*T2^4 + 
     1008*T1*T2^4 + 1167*T1^2*T2^4 - 9498*T1^3*T2^4 + 17873*T1^4*T2^4 - 
     8691*T1^5*T2^4 - 18391*T1^6*T2^4 + 19925*T1^7*T2^4 - 6327*T1^8*T2^4 - 
     1842*T1^9*T2^4 + 2143*T1^10*T2^4 - 464*T1^11*T2^4 + 232*T2^5 - 
     56*T1*T2^5 - 4648*T1^2*T2^5 + 12546*T1^3*T2^5 - 8691*T1^4*T2^5 - 
     21606*T1^5*T2^5 + 51234*T1^6*T2^5 - 20398*T1^7*T2^5 - 14232*T1^8*T2^5 + 
     17295*T1^9*T2^5 - 6418*T1^10*T2^5 + 8*T1^11*T2^5 + 464*T1^12*T2^5 - 
     58*T1^13*T2^5 - 112*T2^6 - 496*T1*T2^6 + 3799*T1^2*T2^6 - 
     2282*T1^3*T2^6 - 18391*T1^4*T2^6 + 51234*T1^5*T2^6 - 45381*T1^6*T2^6 - 
     30953*T1^7*T2^6 + 63755*T1^8*T2^6 - 31166*T1^9*T2^6 - 39*T1^10*T2^6 + 
     6342*T1^11*T2^6 - 2145*T1^12*T2^6 + 16*T1^13*T2^6 + 56*T1^14*T2^6 + 
     32*T2^7 + 416*T1*T2^7 - 1233*T1^2*T2^7 - 4676*T1^3*T2^7 + 
     19925*T1^4*T2^7 - 20398*T1^5*T2^7 - 30953*T1^6*T2^7 + 109310*T1^7*T2^7 - 
     90064*T1^8*T2^7 + 3283*T1^9*T2^7 + 29698*T1^10*T2^7 - 16581*T1^11*T2^7 + 
     1838*T1^12*T2^7 + 1287*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 144*T1^2*T2^8 + 4050*T1^3*T2^8 - 6327*T1^4*T2^8 - 
     14232*T1^5*T2^8 + 63755*T1^6*T2^8 - 90064*T1^7*T2^8 + 15384*T1^8*T2^8 + 
     79656*T1^9*T2^8 - 62629*T1^10*T2^8 + 13872*T1^11*T2^8 + 
     5985*T1^12*T2^8 - 4022*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1289*T1^3*T2^9 - 
     1842*T1^4*T2^9 + 17295*T1^5*T2^9 - 31166*T1^6*T2^9 + 3283*T1^7*T2^9 + 
     79656*T1^8*T2^9 - 119718*T1^9*T2^9 + 37519*T1^10*T2^9 + 
     18930*T1^11*T2^9 - 19211*T1^12*T2^9 + 4672*T1^13*T2^9 + 
     1231*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 - 
     16*T1^3*T2^10 + 2143*T1^4*T2^10 - 6418*T1^5*T2^10 - 39*T1^6*T2^10 + 
     29698*T1^7*T2^10 - 62629*T1^8*T2^10 + 37519*T1^9*T2^10 + 
     46507*T1^10*T2^10 - 52702*T1^11*T2^10 + 18313*T1^12*T2^10 + 
     2206*T1^13*T2^10 - 3801*T1^14*T2^10 + 496*T1^15*T2^10 + 
     112*T1^16*T2^10 + 58*T1^3*T2^11 - 464*T1^4*T2^11 + 8*T1^5*T2^11 + 
     6342*T1^6*T2^11 - 16581*T1^7*T2^11 + 13872*T1^8*T2^11 + 
     18930*T1^9*T2^11 - 52702*T1^10*T2^11 + 21246*T1^11*T2^11 + 
     9405*T1^12*T2^11 - 12622*T1^13*T2^11 + 4664*T1^14*T2^11 + 
     56*T1^15*T2^11 - 232*T1^16*T2^11 + 464*T1^5*T2^12 - 2145*T1^6*T2^12 + 
     1838*T1^7*T2^12 + 5985*T1^8*T2^12 - 19211*T1^9*T2^12 + 
     18313*T1^10*T2^12 + 9405*T1^11*T2^12 - 18215*T1^12*T2^12 + 
     9494*T1^13*T2^12 - 1169*T1^14*T2^12 - 1008*T1^15*T2^12 + 
     300*T1^16*T2^12 - 58*T1^5*T2^13 + 16*T1^6*T2^13 + 1287*T1^7*T2^13 - 
     4022*T1^8*T2^13 + 4672*T1^9*T2^13 + 2206*T1^10*T2^13 - 
     12622*T1^11*T2^13 + 9494*T1^12*T2^13 - 1820*T1^13*T2^13 - 
     1569*T1^14*T2^13 + 1184*T1^15*T2^13 - 232*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 144*T1^8*T2^14 + 1231*T1^9*T2^14 - 3801*T1^10*T2^14 + 
     4664*T1^11*T2^14 - 1169*T1^12*T2^14 - 1569*T1^13*T2^14 + 
     1656*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 496*T1^10*T2^15 + 56*T1^11*T2^15 - 
     1008*T1^12*T2^15 + 1184*T1^13*T2^15 - 704*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     112*T1^10*T2^16 - 232*T1^11*T2^16 + 300*T1^12*T2^16 - 232*T1^13*T2^16 + 
     112*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 203] -> 
  {-((1 - 7*T + 22*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 117*T1^3 - 135*T1^4 + 117*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      511*T1^3*T2 + 399*T1^4*T2 - 189*T1^5*T2 - 84*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 789*T1^2*T2^2 + 
      580*T1^3*T2^2 + 344*T1^4*T2^2 - 943*T1^5*T2^2 + 1356*T1^6*T2^2 - 
      828*T1^7*T2^2 + 135*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      117*T2^3 - 511*T1*T2^3 + 580*T1^2*T2^3 + 1089*T1^3*T2^3 - 
      3259*T1^4*T2^3 + 3220*T1^5*T2^3 - 2579*T1^6*T2^3 + 51*T1^7*T2^3 + 
      1303*T1^8*T2^3 - 762*T1^9*T2^3 + 154*T1^10*T2^3 - 135*T2^4 + 
      399*T1*T2^4 + 344*T1^2*T2^4 - 3259*T1^3*T2^4 + 4503*T1^4*T2^4 - 
      936*T1^5*T2^4 - 1881*T1^6*T2^4 + 5862*T1^7*T2^4 - 5049*T1^8*T2^4 + 
      1187*T1^9*T2^4 + 482*T1^10*T2^4 - 315*T1^11*T2^4 + 45*T1^12*T2^4 + 
      117*T2^5 - 189*T1*T2^5 - 943*T1^2*T2^5 + 3220*T1^3*T2^5 - 
      936*T1^4*T2^5 - 6602*T1^5*T2^5 + 9263*T1^6*T2^5 - 10819*T1^7*T2^5 + 
      4396*T1^8*T2^5 + 3207*T1^9*T2^5 - 3101*T1^10*T2^5 + 524*T1^11*T2^5 + 
      231*T1^12*T2^5 - 78*T1^13*T2^5 - 66*T2^6 - 84*T1*T2^6 + 
      1356*T1^2*T2^6 - 2579*T1^3*T2^6 - 1881*T1^4*T2^6 + 9263*T1^5*T2^6 - 
      7720*T1^6*T2^6 + 4272*T1^7*T2^6 + 5648*T1^8*T2^6 - 11197*T1^9*T2^6 + 
      3051*T1^10*T2^6 + 2437*T1^11*T2^6 - 1404*T1^12*T2^6 + 84*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 828*T1^2*T2^7 + 51*T1^3*T2^7 + 
      5862*T1^4*T2^7 - 10819*T1^5*T2^7 + 4272*T1^6*T2^7 + 2784*T1^7*T2^7 - 
      9560*T1^8*T2^7 + 7201*T1^9*T2^7 + 8507*T1^10*T2^7 - 8901*T1^11*T2^7 + 
      1285*T1^12*T2^7 + 910*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 135*T1^2*T2^8 + 1303*T1^3*T2^8 - 5049*T1^4*T2^8 + 
      4396*T1^5*T2^8 + 5648*T1^6*T2^8 - 9560*T1^7*T2^8 + 4692*T1^8*T2^8 + 
      4572*T1^9*T2^8 - 17802*T1^10*T2^8 + 5692*T1^11*T2^8 + 5143*T1^12*T2^8 - 
      3051*T1^13*T2^8 + 189*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 56*T1^2*T2^9 - 762*T1^3*T2^9 + 1187*T1^4*T2^9 + 
      3207*T1^5*T2^9 - 11197*T1^6*T2^9 + 7201*T1^7*T2^9 + 4572*T1^8*T2^9 - 
      7772*T1^9*T2^9 + 10130*T1^10*T2^9 + 8129*T1^11*T2^9 - 
      11556*T1^12*T2^9 + 2421*T1^13*T2^9 + 976*T1^14*T2^9 - 371*T1^15*T2^9 - 
      35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 482*T1^4*T2^10 - 
      3101*T1^5*T2^10 + 3051*T1^6*T2^10 + 8507*T1^7*T2^10 - 
      17802*T1^8*T2^10 + 10130*T1^9*T2^10 - 4434*T1^10*T2^10 - 
      11953*T1^11*T2^10 + 7983*T1^12*T2^10 + 1915*T1^13*T2^10 - 
      2278*T1^14*T2^10 + 322*T1^15*T2^10 + 110*T1^16*T2^10 - 315*T1^4*T2^11 + 
      524*T1^5*T2^11 + 2437*T1^6*T2^11 - 8901*T1^7*T2^11 + 5692*T1^8*T2^11 + 
      8129*T1^9*T2^11 - 11953*T1^10*T2^11 + 16690*T1^11*T2^11 - 
      4758*T1^12*T2^11 - 3884*T1^13*T2^11 + 1991*T1^14*T2^11 + 
      105*T1^15*T2^11 - 195*T1^16*T2^11 + 45*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1404*T1^6*T2^12 + 1285*T1^7*T2^12 + 5143*T1^8*T2^12 - 
      11556*T1^9*T2^12 + 7983*T1^10*T2^12 - 4758*T1^11*T2^12 - 
      4409*T1^12*T2^12 + 5731*T1^13*T2^12 - 1266*T1^14*T2^12 - 
      483*T1^15*T2^12 + 225*T1^16*T2^12 - 78*T1^5*T2^13 + 84*T1^6*T2^13 + 
      910*T1^7*T2^13 - 3051*T1^8*T2^13 + 2421*T1^9*T2^13 + 1915*T1^10*T2^13 - 
      3884*T1^11*T2^13 + 5731*T1^12*T2^13 - 2837*T1^13*T2^13 - 
      432*T1^14*T2^13 + 749*T1^15*T2^13 - 195*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 189*T1^8*T2^14 + 976*T1^9*T2^14 - 2278*T1^10*T2^14 + 
      1991*T1^11*T2^14 - 1266*T1^12*T2^14 - 432*T1^13*T2^14 + 
      1113*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 322*T1^10*T2^15 + 105*T1^11*T2^15 - 
      483*T1^12*T2^15 + 749*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      195*T1^11*T2^16 + 225*T1^12*T2^16 - 195*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 204] -> 
  {-((2 - 14*T + 41*T^2 - 59*T^3 + 41*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 161*T1 - 471*T1^2 + 677*T1^3 - 471*T1^4 + 161*T1^5 - 23*T1^6 + 
      161*T2 - 1022*T1*T2 + 2562*T1^2*T2 - 2590*T1^3*T2 + 210*T1^4*T2 + 
      1022*T1^5*T2 - 574*T1^6*T2 + 105*T1^7*T2 - 471*T2^2 + 2562*T1*T2^2 - 
      4643*T1^2*T2^2 - 163*T1^3*T2^2 + 9005*T1^4*T2^2 - 7543*T1^5*T2^2 + 
      1753*T1^6*T2^2 + 266*T1^7*T2^2 - 143*T1^8*T2^2 + 677*T2^3 - 
      2590*T1*T2^3 - 163*T1^2*T2^3 + 16898*T1^3*T2^3 - 28518*T1^4*T2^3 + 
      9412*T1^5*T2^3 + 6922*T1^6*T2^3 - 5493*T1^7*T2^3 + 1218*T1^8*T2^3 - 
      31*T1^9*T2^3 - 471*T2^4 + 210*T1*T2^4 + 9005*T1^2*T2^4 - 
      28518*T1^3*T2^4 + 20431*T1^4*T2^4 + 27859*T1^5*T2^4 - 41117*T1^6*T2^4 + 
      16558*T1^7*T2^4 - 675*T1^8*T2^4 - 1078*T1^9*T2^4 + 185*T1^10*T2^4 + 
      161*T2^5 + 1022*T1*T2^5 - 7543*T1^2*T2^5 + 9412*T1^3*T2^5 + 
      27859*T1^4*T2^5 - 83329*T1^5*T2^5 + 66101*T1^6*T2^5 - 5884*T1^7*T2^5 - 
      14226*T1^8*T2^5 + 5987*T1^9*T2^5 - 462*T1^10*T2^5 - 119*T1^11*T2^5 - 
      23*T2^6 - 574*T1*T2^6 + 1753*T1^2*T2^6 + 6922*T1^3*T2^6 - 
      41117*T1^4*T2^6 + 66101*T1^5*T2^6 - 15024*T1^6*T2^6 - 54949*T1^7*T2^6 + 
      44729*T1^8*T2^6 - 9418*T1^9*T2^6 - 1515*T1^10*T2^6 + 658*T1^11*T2^6 + 
      25*T1^12*T2^6 + 105*T1*T2^7 + 266*T1^2*T2^7 - 5493*T1^3*T2^7 + 
      16558*T1^4*T2^7 - 5884*T1^5*T2^7 - 54949*T1^6*T2^7 + 94481*T1^7*T2^7 - 
      39627*T1^8*T2^7 - 7080*T1^9*T2^7 + 8037*T1^10*T2^7 - 1218*T1^11*T2^7 - 
      175*T1^12*T2^7 - 143*T1^2*T2^8 + 1218*T1^3*T2^8 - 675*T1^4*T2^8 - 
      14226*T1^5*T2^8 + 44729*T1^6*T2^8 - 39627*T1^7*T2^8 - 16819*T1^8*T2^8 + 
      30850*T1^9*T2^8 - 10355*T1^10*T2^8 - 70*T1^11*T2^8 + 513*T1^12*T2^8 - 
      31*T1^3*T2^9 - 1078*T1^4*T2^9 + 5987*T1^5*T2^9 - 9418*T1^6*T2^9 - 
      7080*T1^7*T2^9 + 30850*T1^8*T2^9 - 19394*T1^9*T2^9 + 657*T1^10*T2^9 + 
      2730*T1^11*T2^9 - 739*T1^12*T2^9 + 185*T1^4*T2^10 - 462*T1^5*T2^10 - 
      1515*T1^6*T2^10 + 8037*T1^7*T2^10 - 10355*T1^8*T2^10 + 657*T1^9*T2^10 + 
      4881*T1^10*T2^10 - 2758*T1^11*T2^10 + 513*T1^12*T2^10 - 
      119*T1^5*T2^11 + 658*T1^6*T2^11 - 1218*T1^7*T2^11 - 70*T1^8*T2^11 + 
      2730*T1^9*T2^11 - 2758*T1^10*T2^11 + 1106*T1^11*T2^11 - 
      175*T1^12*T2^11 + 25*T1^6*T2^12 - 175*T1^7*T2^12 + 513*T1^8*T2^12 - 
      739*T1^9*T2^12 + 513*T1^10*T2^12 - 175*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 205] -> 
  {-((2 - 9*T + 18*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 18*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-57 + 255*T1 - 506*T1^2 + 727*T1^3 - 809*T1^4 + 727*T1^5 - 
      506*T1^6 + 255*T1^7 - 57*T1^8 + 255*T2 - 924*T1*T2 + 1293*T1^2*T2 - 
      1323*T1^3*T2 + 840*T1^4*T2 - 150*T1^5*T2 - 531*T1^6*T2 + 807*T1^7*T2 - 
      726*T1^8*T2 + 219*T1^9*T2 - 506*T2^2 + 1293*T1*T2^2 - 494*T1^2*T2^2 - 
      636*T1^3*T2^2 + 2167*T1^4*T2^2 - 2944*T1^5*T2^2 + 2959*T1^6*T2^2 - 
      1860*T1^7*T2^2 + 658*T1^8*T2^2 + 645*T1^9*T2^2 - 362*T1^10*T2^2 + 
      727*T2^3 - 1323*T1*T2^3 - 636*T1^2*T2^3 + 1344*T1^3*T2^3 - 
      2181*T1^4*T2^3 + 1483*T1^5*T2^3 - 563*T1^6*T2^3 - 981*T1^7*T2^3 + 
      1338*T1^8*T2^3 - 1662*T1^9*T2^3 - 243*T1^10*T2^3 + 415*T1^11*T2^3 - 
      809*T2^4 + 840*T1*T2^4 + 2167*T1^2*T2^4 - 2181*T1^3*T2^4 + 
      3357*T1^4*T2^4 - 2667*T1^5*T2^4 + 2567*T1^6*T2^4 - 1463*T1^7*T2^4 + 
      1665*T1^8*T2^4 - 725*T1^9*T2^4 + 2131*T1^10*T2^4 - 312*T1^11*T2^4 - 
      345*T1^12*T2^4 + 727*T2^5 - 150*T1*T2^5 - 2944*T1^2*T2^5 + 
      1483*T1^3*T2^5 - 2667*T1^4*T2^5 + 1445*T1^5*T2^5 - 1545*T1^6*T2^5 + 
      147*T1^7*T2^5 - 437*T1^8*T2^5 - 919*T1^9*T2^5 - 703*T1^10*T2^5 - 
      1513*T1^11*T2^5 + 624*T1^12*T2^5 + 207*T1^13*T2^5 - 506*T2^6 - 
      531*T1*T2^6 + 2959*T1^2*T2^6 - 563*T1^3*T2^6 + 2567*T1^4*T2^6 - 
      1545*T1^5*T2^6 + 2137*T1^6*T2^6 - 719*T1^7*T2^6 + 1165*T1^8*T2^6 + 
      363*T1^9*T2^6 + 1199*T1^10*T2^6 + 1273*T1^11*T2^6 + 511*T1^12*T2^6 - 
      603*T1^13*T2^6 - 74*T1^14*T2^6 + 255*T2^7 + 807*T1*T2^7 - 
      1860*T1^2*T2^7 - 981*T1^3*T2^7 - 1463*T1^4*T2^7 + 147*T1^5*T2^7 - 
      719*T1^6*T2^7 - 374*T1^7*T2^7 - 552*T1^8*T2^7 - 483*T1^9*T2^7 - 
      1113*T1^10*T2^7 - 1035*T1^11*T2^7 - 1157*T1^12*T2^7 + 354*T1^13*T2^7 + 
      321*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 726*T1*T2^8 + 658*T1^2*T2^8 + 
      1338*T1^3*T2^8 + 1665*T1^4*T2^8 - 437*T1^5*T2^8 + 1165*T1^6*T2^8 - 
      552*T1^7*T2^8 + 1308*T1^8*T2^8 - 224*T1^9*T2^8 + 1113*T1^10*T2^8 + 
      761*T1^11*T2^8 + 1117*T1^12*T2^8 + 294*T1^13*T2^8 - 548*T1^14*T2^8 - 
      42*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 645*T1^2*T2^9 - 
      1662*T1^3*T2^9 - 725*T1^4*T2^9 - 919*T1^5*T2^9 + 363*T1^6*T2^9 - 
      483*T1^7*T2^9 - 224*T1^8*T2^9 - 402*T1^9*T2^9 - 247*T1^10*T2^9 - 
      897*T1^11*T2^9 - 491*T1^12*T2^9 - 901*T1^13*T2^9 + 552*T1^14*T2^9 + 
      159*T1^15*T2^9 - 33*T1^16*T2^9 - 362*T1^2*T2^10 - 243*T1^3*T2^10 + 
      2131*T1^4*T2^10 - 703*T1^5*T2^10 + 1199*T1^6*T2^10 - 1113*T1^7*T2^10 + 
      1113*T1^8*T2^10 - 247*T1^9*T2^10 + 141*T1^10*T2^10 + 795*T1^11*T2^10 - 
      169*T1^12*T2^10 + 1133*T1^13*T2^10 - 317*T1^14*T2^10 - 
      315*T1^15*T2^10 + 70*T1^16*T2^10 + 415*T1^3*T2^11 - 312*T1^4*T2^11 - 
      1513*T1^5*T2^11 + 1273*T1^6*T2^11 - 1035*T1^7*T2^11 + 761*T1^8*T2^11 - 
      897*T1^9*T2^11 + 795*T1^10*T2^11 - 1121*T1^11*T2^11 + 713*T1^12*T2^11 - 
      913*T1^13*T2^11 - 82*T1^14*T2^11 + 462*T1^15*T2^11 - 105*T1^16*T2^11 - 
      345*T1^4*T2^12 + 624*T1^5*T2^12 + 511*T1^6*T2^12 - 1157*T1^7*T2^12 + 
      1117*T1^8*T2^12 - 491*T1^9*T2^12 - 169*T1^10*T2^12 + 713*T1^11*T2^12 - 
      575*T1^12*T2^12 + 299*T1^13*T2^12 + 475*T1^14*T2^12 - 528*T1^15*T2^12 + 
      119*T1^16*T2^12 + 207*T1^5*T2^13 - 603*T1^6*T2^13 + 354*T1^7*T2^13 + 
      294*T1^8*T2^13 - 901*T1^9*T2^13 + 1133*T1^10*T2^13 - 913*T1^11*T2^13 + 
      299*T1^12*T2^13 + 288*T1^13*T2^13 - 672*T1^14*T2^13 + 477*T1^15*T2^13 - 
      105*T1^16*T2^13 - 74*T1^6*T2^14 + 321*T1^7*T2^14 - 548*T1^8*T2^14 + 
      552*T1^9*T2^14 - 317*T1^10*T2^14 - 82*T1^11*T2^14 + 475*T1^12*T2^14 - 
      672*T1^13*T2^14 + 604*T1^14*T2^14 - 327*T1^15*T2^14 + 70*T1^16*T2^14 + 
      3*T1^7*T2^15 - 42*T1^8*T2^15 + 159*T1^9*T2^15 - 315*T1^10*T2^15 + 
      462*T1^11*T2^15 - 528*T1^12*T2^15 + 477*T1^13*T2^15 - 327*T1^14*T2^15 + 
      156*T1^15*T2^15 - 33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 
      70*T1^10*T2^16 - 105*T1^11*T2^16 + 119*T1^12*T2^16 - 105*T1^13*T2^16 + 
      70*T1^14*T2^16 - 33*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 206] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-144 + 620*T1 - 1090*T1^2 + 1278*T1^3 - 1090*T1^4 + 620*T1^5 - 
      144*T1^6 + 620*T2 - 2169*T1*T2 + 2537*T1^2*T2 - 1709*T1^3*T2 + 
      241*T1^4*T2 + 1133*T1^5*T2 - 1545*T1^6*T2 + 503*T1^7*T2 - 1090*T2^2 + 
      2537*T1*T2^2 + 371*T1^2*T2^2 - 3845*T1^3*T2^2 + 5945*T1^4*T2^2 - 
      5777*T1^5*T2^2 + 3131*T1^6*T2^2 + 743*T1^7*T2^2 - 676*T1^8*T2^2 + 
      1278*T2^3 - 1709*T1*T2^3 - 3845*T1^2*T2^3 + 5840*T1^3*T2^3 - 
      4702*T1^4*T2^3 + 1500*T1^5*T2^3 + 2366*T1^6*T2^3 - 4650*T1^7*T2^3 + 
      553*T1^8*T2^3 + 549*T1^9*T2^3 - 1090*T2^4 + 241*T1*T2^4 + 
      5945*T1^2*T2^4 - 4702*T1^3*T2^4 + 1634*T1^4*T2^4 + 1284*T1^5*T2^4 - 
      2674*T1^6*T2^4 + 1886*T1^7*T2^4 + 3167*T1^8*T2^4 - 1241*T1^9*T2^4 - 
      262*T1^10*T2^4 + 620*T2^5 + 1133*T1*T2^5 - 5777*T1^2*T2^5 + 
      1500*T1^3*T2^5 + 1284*T1^4*T2^5 - 1647*T1^5*T2^5 + 231*T1^6*T2^5 + 
      1353*T1^7*T2^5 - 3930*T1^8*T2^5 - 464*T1^9*T2^5 + 977*T1^10*T2^5 + 
      35*T1^11*T2^5 - 144*T2^6 - 1545*T1*T2^6 + 3131*T1^2*T2^6 + 
      2366*T1^3*T2^6 - 2674*T1^4*T2^6 + 231*T1^5*T2^6 + 1728*T1^6*T2^6 - 
      1763*T1^7*T2^6 + 1476*T1^8*T2^6 + 2702*T1^9*T2^6 - 1241*T1^10*T2^6 - 
      219*T1^11*T2^6 + 18*T1^12*T2^6 + 503*T1*T2^7 + 743*T1^2*T2^7 - 
      4650*T1^3*T2^7 + 1886*T1^4*T2^7 + 1353*T1^5*T2^7 - 1763*T1^6*T2^7 + 
      115*T1^7*T2^7 + 1422*T1^8*T2^7 - 3544*T1^9*T2^7 + 663*T1^10*T2^7 + 
      587*T1^11*T2^7 - 82*T1^12*T2^7 - 676*T1^2*T2^8 + 553*T1^3*T2^8 + 
      3167*T1^4*T2^8 - 3930*T1^5*T2^8 + 1476*T1^6*T2^8 + 1422*T1^7*T2^8 - 
      2832*T1^8*T2^8 + 2658*T1^9*T2^8 + 389*T1^10*T2^8 - 929*T1^11*T2^8 + 
      152*T1^12*T2^8 + 549*T1^3*T2^9 - 1241*T1^4*T2^9 - 464*T1^5*T2^9 + 
      2702*T1^6*T2^9 - 3544*T1^7*T2^9 + 2658*T1^8*T2^9 - 772*T1^9*T2^9 - 
      1269*T1^10*T2^9 + 1021*T1^11*T2^9 - 180*T1^12*T2^9 - 262*T1^4*T2^10 + 
      977*T1^5*T2^10 - 1241*T1^6*T2^10 + 663*T1^7*T2^10 + 389*T1^8*T2^10 - 
      1269*T1^9*T2^10 + 1519*T1^10*T2^10 - 817*T1^11*T2^10 + 
      152*T1^12*T2^10 + 35*T1^5*T2^11 - 219*T1^6*T2^11 + 587*T1^7*T2^11 - 
      929*T1^8*T2^11 + 1021*T1^9*T2^11 - 817*T1^10*T2^11 + 405*T1^11*T2^11 - 
      82*T1^12*T2^11 + 18*T1^6*T2^12 - 82*T1^7*T2^12 + 152*T1^8*T2^12 - 
      180*T1^9*T2^12 + 152*T1^10*T2^12 - 82*T1^11*T2^12 + 18*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 207] -> 
  {-((1 - 7*T + 20*T^2 - 33*T^3 + 37*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 100*T1^2 + 165*T1^3 - 185*T1^4 + 165*T1^5 - 
      100*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 504*T1^2*T2 - 
      595*T1^3*T2 + 371*T1^4*T2 - 119*T1^5*T2 - 224*T1^6*T2 + 315*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 100*T2^2 + 504*T1*T2^2 - 689*T1^2*T2^2 - 
      198*T1^3*T2^2 + 1568*T1^4*T2^2 - 1979*T1^5*T2^2 + 2248*T1^6*T2^2 - 
      1238*T1^7*T2^2 + 71*T1^8*T2^2 + 224*T1^9*T2^2 - 60*T1^10*T2^2 + 
      165*T2^3 - 595*T1*T2^3 - 198*T1^2*T2^3 + 2895*T1^3*T2^3 - 
      4481*T1^4*T2^3 + 2792*T1^5*T2^3 - 1761*T1^6*T2^3 - 1417*T1^7*T2^3 + 
      2481*T1^8*T2^3 - 1058*T1^9*T2^3 - 42*T1^10*T2^3 + 66*T1^11*T2^3 - 
      185*T2^4 + 371*T1*T2^4 + 1568*T1^2*T2^4 - 4481*T1^3*T2^4 + 
      2836*T1^4*T2^4 + 2781*T1^5*T2^4 - 3786*T1^6*T2^4 + 6787*T1^7*T2^4 - 
      3848*T1^8*T2^4 - 587*T1^9*T2^4 + 1294*T1^10*T2^4 - 203*T1^11*T2^4 - 
      37*T1^12*T2^4 + 165*T2^5 - 119*T1*T2^5 - 1979*T1^2*T2^5 + 
      2792*T1^3*T2^5 + 2781*T1^4*T2^5 - 8600*T1^5*T2^5 + 4891*T1^6*T2^5 - 
      4583*T1^7*T2^5 - 2198*T1^8*T2^5 + 5274*T1^9*T2^5 - 2023*T1^10*T2^5 - 
      500*T1^11*T2^5 + 259*T1^12*T2^5 - 100*T2^6 - 224*T1*T2^6 + 
      2248*T1^2*T2^6 - 1761*T1^3*T2^6 - 3786*T1^4*T2^6 + 4891*T1^5*T2^6 + 
      3531*T1^6*T2^6 - 3487*T1^7*T2^6 + 6947*T1^8*T2^6 - 4285*T1^9*T2^6 - 
      1718*T1^10*T2^6 + 2399*T1^11*T2^6 - 340*T1^12*T2^6 - 140*T1^13*T2^6 + 
      20*T1^14*T2^6 + 35*T2^7 + 315*T1*T2^7 - 1238*T1^2*T2^7 - 
      1417*T1^3*T2^7 + 6787*T1^4*T2^7 - 4583*T1^5*T2^7 - 3487*T1^6*T2^7 - 
      294*T1^7*T2^7 + 668*T1^8*T2^7 - 3074*T1^9*T2^7 + 5487*T1^10*T2^7 - 
      1758*T1^11*T2^7 - 1161*T1^12*T2^7 + 702*T1^13*T2^7 - 42*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 + 71*T1^2*T2^8 + 2481*T1^3*T2^8 - 
      3848*T1^4*T2^8 - 2198*T1^5*T2^8 + 6947*T1^6*T2^8 + 668*T1^7*T2^8 - 
      2412*T1^8*T2^8 + 1624*T1^9*T2^8 - 1623*T1^10*T2^8 - 3002*T1^11*T2^8 + 
      3500*T1^12*T2^8 - 925*T1^13*T2^8 - 227*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 224*T1^2*T2^9 - 1058*T1^3*T2^9 - 
      587*T1^4*T2^9 + 5274*T1^5*T2^9 - 4285*T1^6*T2^9 - 3074*T1^7*T2^9 + 
      1624*T1^8*T2^9 + 2586*T1^9*T2^9 - 2661*T1^10*T2^9 + 5785*T1^11*T2^9 - 
      3271*T1^12*T2^9 - 331*T1^13*T2^9 + 882*T1^14*T2^9 - 133*T1^15*T2^9 - 
      21*T1^16*T2^9 - 60*T1^2*T2^10 - 42*T1^3*T2^10 + 1294*T1^4*T2^10 - 
      2023*T1^5*T2^10 - 1718*T1^6*T2^10 + 5487*T1^7*T2^10 - 1623*T1^8*T2^10 - 
      2661*T1^9*T2^10 + 1793*T1^10*T2^10 - 3689*T1^11*T2^10 + 
      350*T1^12*T2^10 + 2137*T1^13*T2^10 - 1294*T1^14*T2^10 + 
      42*T1^15*T2^10 + 60*T1^16*T2^10 + 66*T1^3*T2^11 - 203*T1^4*T2^11 - 
      500*T1^5*T2^11 + 2399*T1^6*T2^11 - 1758*T1^7*T2^11 - 3002*T1^8*T2^11 + 
      5785*T1^9*T2^11 - 3689*T1^10*T2^11 + 3400*T1^11*T2^11 + 
      735*T1^12*T2^11 - 2416*T1^13*T2^11 + 979*T1^14*T2^11 + 
      175*T1^15*T2^11 - 99*T1^16*T2^11 - 37*T1^4*T2^12 + 259*T1^5*T2^12 - 
      340*T1^6*T2^12 - 1161*T1^7*T2^12 + 3500*T1^8*T2^12 - 3271*T1^9*T2^12 + 
      350*T1^10*T2^12 + 735*T1^11*T2^12 - 3184*T1^12*T2^12 + 
      2733*T1^13*T2^12 - 614*T1^14*T2^12 - 315*T1^15*T2^12 + 
      111*T1^16*T2^12 - 140*T1^6*T2^13 + 702*T1^7*T2^13 - 925*T1^8*T2^13 - 
      331*T1^9*T2^13 + 2137*T1^10*T2^13 - 2416*T1^11*T2^13 + 
      2733*T1^12*T2^13 - 1339*T1^13*T2^13 - 158*T1^14*T2^13 + 
      413*T1^15*T2^13 - 99*T1^16*T2^13 + 20*T1^6*T2^14 - 42*T1^7*T2^14 - 
      227*T1^8*T2^14 + 882*T1^9*T2^14 - 1294*T1^10*T2^14 + 979*T1^11*T2^14 - 
      614*T1^12*T2^14 - 158*T1^13*T2^14 + 533*T1^14*T2^14 - 322*T1^15*T2^14 + 
      60*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 133*T1^9*T2^15 + 
      42*T1^10*T2^15 + 175*T1^11*T2^15 - 315*T1^12*T2^15 + 413*T1^13*T2^15 - 
      322*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 60*T1^10*T2^16 - 99*T1^11*T2^16 + 111*T1^12*T2^16 - 
      99*T1^13*T2^16 + 60*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 208] -> 
  {-(((1 - 3*T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-25 + 175*T1 - 487*T1^2 + 687*T1^3 - 487*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2576*T1^2*T2 - 2492*T1^3*T2 + 140*T1^4*T2 + 
      1092*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 487*T2^2 + 2576*T1*T2^2 - 
      3841*T1^2*T2^2 - 1561*T1^3*T2^2 + 9899*T1^4*T2^2 - 7957*T1^5*T2^2 + 
      1931*T1^6*T2^2 + 392*T1^7*T2^2 - 175*T1^8*T2^2 + 687*T2^3 - 
      2492*T1*T2^3 - 1561*T1^2*T2^3 + 17490*T1^3*T2^3 - 26418*T1^4*T2^3 + 
      7416*T1^5*T2^3 + 7362*T1^6*T2^3 - 5695*T1^7*T2^3 + 1036*T1^8*T2^3 + 
      27*T1^9*T2^3 - 487*T2^4 + 140*T1*T2^4 + 9899*T1^2*T2^4 - 
      26418*T1^3*T2^4 + 15886*T1^4*T2^4 + 27208*T1^5*T2^4 - 35710*T1^6*T2^4 + 
      13402*T1^7*T2^4 + 507*T1^8*T2^4 - 1148*T1^9*T2^4 + 137*T1^10*T2^4 + 
      175*T2^5 + 1092*T1*T2^5 - 7957*T1^2*T2^5 + 7416*T1^3*T2^5 + 
      27208*T1^4*T2^5 - 69807*T1^5*T2^5 + 47249*T1^6*T2^5 + 1429*T1^7*T2^5 - 
      14446*T1^8*T2^5 + 5225*T1^9*T2^5 - 224*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 1931*T1^2*T2^6 + 7362*T1^3*T2^6 - 
      35710*T1^4*T2^6 + 47249*T1^5*T2^6 + 1284*T1^6*T2^6 - 48801*T1^7*T2^6 + 
      34660*T1^8*T2^6 - 5970*T1^9*T2^6 - 2025*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 392*T1^2*T2^7 - 5695*T1^3*T2^7 + 
      13402*T1^4*T2^7 + 1429*T1^5*T2^7 - 48801*T1^6*T2^7 + 68255*T1^7*T2^7 - 
      24350*T1^8*T2^7 - 8460*T1^9*T2^7 + 7487*T1^10*T2^7 - 924*T1^11*T2^7 - 
      161*T1^12*T2^7 - 175*T1^2*T2^8 + 1036*T1^3*T2^8 + 507*T1^4*T2^8 - 
      14446*T1^5*T2^8 + 34660*T1^6*T2^8 - 24350*T1^7*T2^8 - 16936*T1^8*T2^8 + 
      25374*T1^9*T2^8 - 8885*T1^10*T2^8 - 252*T1^11*T2^8 + 449*T1^12*T2^8 + 
      27*T1^3*T2^9 - 1148*T1^4*T2^9 + 5225*T1^5*T2^9 - 5970*T1^6*T2^9 - 
      8460*T1^7*T2^9 + 25374*T1^8*T2^9 - 16098*T1^9*T2^9 + 1091*T1^10*T2^9 + 
      2380*T1^11*T2^9 - 633*T1^12*T2^9 + 137*T1^4*T2^10 - 224*T1^5*T2^10 - 
      2025*T1^6*T2^10 + 7487*T1^7*T2^10 - 8885*T1^8*T2^10 + 1091*T1^9*T2^10 + 
      3747*T1^10*T2^10 - 2408*T1^11*T2^10 + 449*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 924*T1^7*T2^11 - 252*T1^8*T2^11 + 
      2380*T1^9*T2^11 - 2408*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 449*T1^8*T2^12 - 
      633*T1^9*T2^12 + 449*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 209] -> 
  {((1 - 5*T + 9*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 240*T1^3 - 308*T1^4 + 240*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1224*T1^3*T2 + 
     1024*T1^4*T2 - 72*T1^5*T2 - 512*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1887*T1^2*T2^2 + 1859*T1^3*T2^2 + 
     907*T1^4*T2^2 - 4351*T1^5*T2^2 + 3691*T1^6*T2^2 - 1157*T1^7*T2^2 - 
     263*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 240*T2^3 - 
     1224*T1*T2^3 + 1859*T1^2*T2^3 + 2134*T1^3*T2^3 - 10352*T1^4*T2^3 + 
     13140*T1^5*T2^3 - 2624*T1^6*T2^3 - 5004*T1^7*T2^3 + 4530*T1^8*T2^3 - 
     1273*T1^9*T2^3 - 16*T1^10*T2^3 + 60*T1^11*T2^3 - 308*T2^4 + 
     1024*T1*T2^4 + 907*T1^2*T2^4 - 10352*T1^3*T2^4 + 17903*T1^4*T2^4 - 
     5345*T1^5*T2^4 - 23613*T1^6*T2^4 + 24719*T1^7*T2^4 - 8609*T1^8*T2^4 - 
     1952*T1^9*T2^4 + 2159*T1^10*T2^4 - 480*T1^11*T2^4 + 240*T2^5 - 
     72*T1*T2^5 - 4351*T1^2*T2^5 + 13140*T1^3*T2^5 - 5345*T1^4*T2^5 - 
     31354*T1^5*T2^5 + 60900*T1^6*T2^5 - 24108*T1^7*T2^5 - 15274*T1^8*T2^5 + 
     19903*T1^9*T2^5 - 6792*T1^10*T2^5 - 7*T1^11*T2^5 + 480*T1^12*T2^5 - 
     60*T1^13*T2^5 - 116*T2^6 - 512*T1*T2^6 + 3691*T1^2*T2^6 - 
     2624*T1^3*T2^6 - 23613*T1^4*T2^6 + 60900*T1^5*T2^6 - 47110*T1^6*T2^6 - 
     40538*T1^7*T2^6 + 72290*T1^8*T2^6 - 35852*T1^9*T2^6 - 367*T1^10*T2^6 + 
     6888*T1^11*T2^6 - 2157*T1^12*T2^6 + 16*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 1157*T1^2*T2^7 - 5004*T1^3*T2^7 + 
     24719*T1^4*T2^7 - 24108*T1^5*T2^7 - 40538*T1^6*T2^7 + 123106*T1^7*T2^7 - 
     87670*T1^8*T2^7 - 3922*T1^9*T2^7 + 37412*T1^10*T2^7 - 19793*T1^11*T2^7 + 
     1856*T1^12*T2^7 + 1279*T1^13*T2^7 - 272*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 263*T1^2*T2^8 + 4530*T1^3*T2^8 - 8609*T1^4*T2^8 - 
     15274*T1^5*T2^8 + 72290*T1^6*T2^8 - 87670*T1^7*T2^8 - 7308*T1^8*T2^8 + 
     93690*T1^9*T2^8 - 69254*T1^10*T2^8 + 13574*T1^11*T2^8 + 
     8923*T1^12*T2^8 - 4526*T1^13*T2^8 + 261*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 1273*T1^3*T2^9 - 
     1952*T1^4*T2^9 + 19903*T1^5*T2^9 - 35852*T1^6*T2^9 - 3922*T1^7*T2^9 + 
     93690*T1^8*T2^9 - 117086*T1^9*T2^9 + 32694*T1^10*T2^9 + 
     25668*T1^11*T2^9 - 24609*T1^12*T2^9 + 4908*T1^13*T2^9 + 
     1163*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     16*T1^3*T2^10 + 2159*T1^4*T2^10 - 6792*T1^5*T2^10 - 367*T1^6*T2^10 + 
     37412*T1^7*T2^10 - 69254*T1^8*T2^10 + 32694*T1^9*T2^10 + 
     50146*T1^10*T2^10 - 59340*T1^11*T2^10 + 22879*T1^12*T2^10 + 
     2720*T1^13*T2^10 - 3689*T1^14*T2^10 + 512*T1^15*T2^10 + 
     116*T1^16*T2^10 + 60*T1^3*T2^11 - 480*T1^4*T2^11 - 7*T1^5*T2^11 + 
     6888*T1^6*T2^11 - 19793*T1^7*T2^11 + 13574*T1^8*T2^11 + 
     25668*T1^9*T2^11 - 59340*T1^10*T2^11 + 29654*T1^11*T2^11 + 
     5455*T1^12*T2^11 - 13044*T1^13*T2^11 + 4337*T1^14*T2^11 + 
     72*T1^15*T2^11 - 240*T1^16*T2^11 + 480*T1^5*T2^12 - 2157*T1^6*T2^12 + 
     1856*T1^7*T2^12 + 8923*T1^8*T2^12 - 24609*T1^9*T2^12 + 
     22879*T1^10*T2^12 + 5455*T1^11*T2^12 - 17589*T1^12*T2^12 + 
     10256*T1^13*T2^12 - 905*T1^14*T2^12 - 1024*T1^15*T2^12 + 
     308*T1^16*T2^12 - 60*T1^5*T2^13 + 16*T1^6*T2^13 + 1279*T1^7*T2^13 - 
     4526*T1^8*T2^13 + 4908*T1^9*T2^13 + 2720*T1^10*T2^13 - 
     13044*T1^11*T2^13 + 10256*T1^12*T2^13 - 2130*T1^13*T2^13 - 
     1853*T1^14*T2^13 + 1224*T1^15*T2^13 - 240*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 261*T1^8*T2^14 + 1163*T1^9*T2^14 - 3689*T1^10*T2^14 + 
     4337*T1^11*T2^14 - 905*T1^12*T2^14 - 1853*T1^13*T2^14 + 
     1885*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 512*T1^10*T2^15 + 72*T1^11*T2^15 - 
     1024*T1^12*T2^15 + 1224*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 240*T1^11*T2^16 + 308*T1^12*T2^16 - 240*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 210] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-336 + 1664*T1 - 3552*T1^2 + 4536*T1^3 - 3552*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6912*T1*T2 + 10992*T1^2*T2 - 8336*T1^3*T2 - 
      496*T1^4*T2 + 5952*T1^5*T2 - 4992*T1^6*T2 + 1344*T1^7*T2 - 3552*T2^2 + 
      10992*T1*T2^2 - 6946*T1^2*T2^2 - 11520*T1^3*T2^2 + 29360*T1^4*T2^2 - 
      23560*T1^5*T2^2 + 6470*T1^6*T2^2 + 4112*T1^7*T2^2 - 2176*T1^8*T2^2 + 
      4536*T2^3 - 8336*T1*T2^3 - 11520*T1^2*T2^3 + 37952*T1^3*T2^3 - 
      40000*T1^4*T2^3 + 2700*T1^5*T2^3 + 22712*T1^6*T2^3 - 19260*T1^7*T2^3 + 
      1424*T1^8*T2^3 + 1896*T1^9*T2^3 - 3552*T2^4 - 496*T1*T2^4 + 
      29360*T1^2*T2^4 - 40000*T1^3*T2^4 + 9494*T1^4*T2^4 + 42668*T1^5*T2^4 - 
      40674*T1^6*T2^4 + 7960*T1^7*T2^4 + 14944*T1^8*T2^4 - 5456*T1^9*T2^4 - 
      800*T1^10*T2^4 + 1664*T2^5 + 5952*T1*T2^5 - 23560*T1^2*T2^5 + 
      2700*T1^3*T2^5 + 42668*T1^4*T2^5 - 64539*T1^5*T2^5 + 14291*T1^6*T2^5 + 
      28693*T1^7*T2^5 - 29480*T1^8*T2^5 + 1380*T1^9*T2^5 + 3632*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4992*T1*T2^6 + 6470*T1^2*T2^6 + 
      22712*T1^3*T2^6 - 40674*T1^4*T2^6 + 14291*T1^5*T2^6 + 47280*T1^6*T2^6 - 
      54659*T1^7*T2^6 + 19676*T1^8*T2^6 + 12272*T1^9*T2^6 - 6610*T1^10*T2^6 - 
      512*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 4112*T1^2*T2^7 - 
      19260*T1^3*T2^7 + 7960*T1^4*T2^7 + 28693*T1^5*T2^7 - 54659*T1^6*T2^7 + 
      24171*T1^7*T2^7 + 14718*T1^8*T2^7 - 24220*T1^9*T2^7 + 5680*T1^10*T2^7 + 
      1792*T1^11*T2^7 - 256*T1^12*T2^7 - 2176*T1^2*T2^8 + 1424*T1^3*T2^8 + 
      14944*T1^4*T2^8 - 29480*T1^5*T2^8 + 19676*T1^6*T2^8 + 14718*T1^7*T2^8 - 
      30492*T1^8*T2^8 + 18480*T1^9*T2^8 + 528*T1^10*T2^8 - 3536*T1^11*T2^8 + 
      576*T1^12*T2^8 + 1896*T1^3*T2^9 - 5456*T1^4*T2^9 + 1380*T1^5*T2^9 + 
      12272*T1^6*T2^9 - 24220*T1^7*T2^9 + 18480*T1^8*T2^9 - 2968*T1^9*T2^9 - 
      6360*T1^10*T2^9 + 4304*T1^11*T2^9 - 744*T1^12*T2^9 - 800*T1^4*T2^10 + 
      3632*T1^5*T2^10 - 6610*T1^6*T2^10 + 5680*T1^7*T2^10 + 528*T1^8*T2^10 - 
      6360*T1^9*T2^10 + 6806*T1^10*T2^10 - 3248*T1^11*T2^10 + 
      576*T1^12*T2^10 + 64*T1^5*T2^11 - 512*T1^6*T2^11 + 1792*T1^7*T2^11 - 
      3536*T1^8*T2^11 + 4304*T1^9*T2^11 - 3248*T1^10*T2^11 + 
      1408*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      576*T1^8*T2^12 - 744*T1^9*T2^12 + 576*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 211] -> 
  {((2 - 4*T + 4*T^2 - 2*T^3 + T^4)*(1 - 2*T + 4*T^2 - 4*T^3 + 2*T^4))/T^4, 
   (-33 + 131*T1 - 327*T1^2 + 556*T1^3 - 671*T1^4 + 556*T1^5 - 327*T1^6 + 
     131*T1^7 - 33*T1^8 + 131*T2 - 422*T1*T2 + 908*T1^2*T2 - 1231*T1^3*T2 + 
     1001*T1^4*T2 - 199*T1^5*T2 - 367*T1^6*T2 + 460*T1^7*T2 - 262*T1^8*T2 + 
     99*T1^9*T2 - 327*T2^2 + 908*T1*T2^2 - 1858*T1^2*T2^2 + 2311*T1^3*T2^2 - 
     1755*T1^4*T2^2 + 426*T1^5*T2^2 - 75*T1^6*T2^2 + 231*T1^7*T2^2 - 
     418*T1^8*T2^2 + 268*T1^9*T2^2 - 167*T1^10*T2^2 + 556*T2^3 - 
     1231*T1*T2^3 + 2311*T1^2*T2^3 - 2230*T1^3*T2^3 + 928*T1^4*T2^3 + 
     804*T1^5*T2^3 - 180*T1^6*T2^3 - 428*T1^7*T2^3 + 634*T1^8*T2^3 - 
     169*T1^9*T2^3 + 81*T1^10*T2^3 + 148*T1^11*T2^3 - 671*T2^4 + 
     1001*T1*T2^4 - 1755*T1^2*T2^4 + 928*T1^3*T2^4 + 160*T1^4*T2^4 - 
     544*T1^5*T2^4 - 2220*T1^6*T2^4 + 2352*T1^7*T2^4 - 1192*T1^8*T2^4 - 
     432*T1^9*T2^4 + 453*T1^10*T2^4 - 535*T1^11*T2^4 - 15*T1^12*T2^4 + 
     556*T2^5 - 199*T1*T2^5 + 426*T1^2*T2^5 + 804*T1^3*T2^5 - 544*T1^4*T2^5 - 
     1200*T1^5*T2^5 + 4943*T1^6*T2^5 - 2441*T1^7*T2^5 - 456*T1^8*T2^5 + 
     1900*T1^9*T2^5 - 516*T1^10*T2^5 + 138*T1^11*T2^5 + 553*T1^12*T2^5 - 
     124*T1^13*T2^5 - 327*T2^6 - 367*T1*T2^6 - 75*T1^2*T2^6 - 180*T1^3*T2^6 - 
     2220*T1^4*T2^6 + 4943*T1^5*T2^6 - 6229*T1^6*T2^6 - 719*T1^7*T2^6 + 
     4243*T1^8*T2^6 - 3425*T1^9*T2^6 + 148*T1^10*T2^6 + 300*T1^11*T2^6 - 
     699*T1^12*T2^6 - 111*T1^13*T2^6 + 153*T1^14*T2^6 + 131*T2^7 + 
     460*T1*T2^7 + 231*T1^2*T2^7 - 428*T1^3*T2^7 + 2352*T1^4*T2^7 - 
     2441*T1^5*T2^7 - 719*T1^6*T2^7 + 8440*T1^7*T2^7 - 7230*T1^8*T2^7 + 
     1157*T1^9*T2^7 + 2975*T1^10*T2^7 - 1900*T1^11*T2^7 + 912*T1^12*T2^7 + 
     311*T1^13*T2^7 - 244*T1^14*T2^7 - 93*T1^15*T2^7 - 33*T2^8 - 
     262*T1*T2^8 - 418*T1^2*T2^8 + 634*T1^3*T2^8 - 1192*T1^4*T2^8 - 
     456*T1^5*T2^8 + 4243*T1^6*T2^8 - 7230*T1^7*T2^8 + 672*T1^8*T2^8 + 
     6378*T1^9*T2^8 - 5885*T1^10*T2^8 + 1416*T1^11*T2^8 + 568*T1^12*T2^8 - 
     950*T1^13*T2^8 + 350*T1^14*T2^8 + 250*T1^15*T2^8 + 31*T1^16*T2^8 + 
     99*T1*T2^9 + 268*T1^2*T2^9 - 169*T1^3*T2^9 - 432*T1^4*T2^9 + 
     1900*T1^5*T2^9 - 3425*T1^6*T2^9 + 1157*T1^7*T2^9 + 6378*T1^8*T2^9 - 
     9292*T1^9*T2^9 + 3033*T1^10*T2^9 + 1991*T1^11*T2^9 - 2352*T1^12*T2^9 + 
     908*T1^13*T2^9 - 89*T1^14*T2^9 - 436*T1^15*T2^9 - 125*T1^16*T2^9 - 
     167*T1^2*T2^10 + 81*T1^3*T2^10 + 453*T1^4*T2^10 - 516*T1^5*T2^10 + 
     148*T1^6*T2^10 + 2975*T1^7*T2^10 - 5885*T1^8*T2^10 + 3033*T1^9*T2^10 + 
     4587*T1^10*T2^10 - 5393*T1^11*T2^10 + 2516*T1^12*T2^10 - 
     36*T1^13*T2^10 - 171*T1^14*T2^10 + 337*T1^15*T2^10 + 313*T1^16*T2^10 + 
     148*T1^3*T2^11 - 535*T1^4*T2^11 + 138*T1^5*T2^11 + 300*T1^6*T2^11 - 
     1900*T1^7*T2^11 + 1416*T1^8*T2^11 + 1991*T1^9*T2^11 - 5393*T1^10*T2^11 + 
     2160*T1^11*T2^11 + 544*T1^12*T2^11 - 1020*T1^13*T2^11 - 
     150*T1^14*T2^11 + 217*T1^15*T2^11 - 532*T1^16*T2^11 - 15*T1^4*T2^12 + 
     553*T1^5*T2^12 - 699*T1^6*T2^12 + 912*T1^7*T2^12 + 568*T1^8*T2^12 - 
     2352*T1^9*T2^12 + 2516*T1^10*T2^12 + 544*T1^11*T2^12 - 784*T1^12*T2^12 - 
     448*T1^13*T2^12 + 1509*T1^14*T2^12 - 983*T1^15*T2^12 + 641*T1^16*T2^12 - 
     124*T1^5*T2^13 - 111*T1^6*T2^13 + 311*T1^7*T2^13 - 950*T1^8*T2^13 + 
     908*T1^9*T2^13 - 36*T1^10*T2^13 - 1020*T1^11*T2^13 - 448*T1^12*T2^13 + 
     1914*T1^13*T2^13 - 2169*T1^14*T2^13 + 1201*T1^15*T2^13 - 
     532*T1^16*T2^13 + 153*T1^6*T2^14 - 244*T1^7*T2^14 + 350*T1^8*T2^14 - 
     89*T1^9*T2^14 - 171*T1^10*T2^14 - 150*T1^11*T2^14 + 1509*T1^12*T2^14 - 
     2169*T1^13*T2^14 + 1790*T1^14*T2^14 - 884*T1^15*T2^14 + 
     313*T1^16*T2^14 - 93*T1^7*T2^15 + 250*T1^8*T2^15 - 436*T1^9*T2^15 + 
     337*T1^10*T2^15 + 217*T1^11*T2^15 - 983*T1^12*T2^15 + 1201*T1^13*T2^15 - 
     884*T1^14*T2^15 + 410*T1^15*T2^15 - 125*T1^16*T2^15 + 31*T1^8*T2^16 - 
     125*T1^9*T2^16 + 313*T1^10*T2^16 - 532*T1^11*T2^16 + 641*T1^12*T2^16 - 
     532*T1^13*T2^16 + 313*T1^14*T2^16 - 125*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 212] -> 
  {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   (-256 + 1016*T1 - 2080*T1^2 + 2576*T1^3 - 2080*T1^4 + 1016*T1^5 - 
     256*T1^6 + 1016*T2 - 3280*T1*T2 + 5264*T1^2*T2 - 4092*T1^3*T2 + 
     644*T1^4*T2 + 2128*T1^5*T2 - 2000*T1^6*T2 + 760*T1^7*T2 - 2080*T2^2 + 
     5264*T1*T2^2 - 5942*T1^2*T2^2 + 328*T1^3*T2^2 + 5488*T1^4*T2^2 - 
     6272*T1^5*T2^2 + 1714*T1^6*T2^2 + 1040*T1^7*T2^2 - 1024*T1^8*T2^2 + 
     2576*T2^3 - 4092*T1*T2^3 + 328*T1^2*T2^3 + 9176*T1^3*T2^3 - 
     11096*T1^4*T2^3 + 3868*T1^5*T2^3 + 5444*T1^6*T2^3 - 5348*T1^7*T2^3 + 
     1668*T1^8*T2^3 + 608*T1^9*T2^3 - 2080*T2^4 + 644*T1*T2^4 + 
     5488*T1^2*T2^4 - 11096*T1^3*T2^4 + 2228*T1^4*T2^4 + 10890*T1^5*T2^4 - 
     15260*T1^6*T2^4 + 5304*T1^7*T2^4 + 1920*T1^8*T2^4 - 2556*T1^9*T2^4 + 
     32*T1^10*T2^4 + 1016*T2^5 + 2128*T1*T2^5 - 6272*T1^2*T2^5 + 
     3868*T1^3*T2^5 + 10890*T1^4*T2^5 - 18489*T1^5*T2^5 + 10417*T1^6*T2^5 + 
     5313*T1^7*T2^5 - 8224*T1^8*T2^5 + 3100*T1^9*T2^5 + 912*T1^10*T2^5 - 
     264*T1^11*T2^5 - 256*T2^6 - 2000*T1*T2^6 + 1714*T1^2*T2^6 + 
     5444*T1^3*T2^6 - 15260*T1^4*T2^6 + 10417*T1^5*T2^6 + 5688*T1^6*T2^6 - 
     15873*T1^7*T2^6 + 9086*T1^8*T2^6 + 452*T1^9*T2^6 - 2790*T1^10*T2^6 + 
     560*T1^11*T2^6 + 128*T1^12*T2^6 + 760*T1*T2^7 + 1040*T1^2*T2^7 - 
     5348*T1^3*T2^7 + 5304*T1^4*T2^7 + 5313*T1^5*T2^7 - 15873*T1^6*T2^7 + 
     13033*T1^7*T2^7 - 264*T1^8*T2^7 - 6788*T1^9*T2^7 + 4024*T1^10*T2^7 - 
     176*T1^11*T2^7 - 520*T1^12*T2^7 - 1024*T1^2*T2^8 + 1668*T1^3*T2^8 + 
     1920*T1^4*T2^8 - 8224*T1^5*T2^8 + 9086*T1^6*T2^8 - 264*T1^7*T2^8 - 
     8402*T1^8*T2^8 + 8176*T1^9*T2^8 - 1648*T1^10*T2^8 - 1532*T1^11*T2^8 + 
     1088*T1^12*T2^8 + 608*T1^3*T2^9 - 2556*T1^4*T2^9 + 3100*T1^5*T2^9 + 
     452*T1^6*T2^9 - 6788*T1^7*T2^9 + 8176*T1^8*T2^9 - 3280*T1^9*T2^9 - 
     2576*T1^10*T2^9 + 3204*T1^11*T2^9 - 1360*T1^12*T2^9 + 32*T1^4*T2^10 + 
     912*T1^5*T2^10 - 2790*T1^6*T2^10 + 4024*T1^7*T2^10 - 1648*T1^8*T2^10 - 
     2576*T1^9*T2^10 + 4866*T1^10*T2^10 - 3312*T1^11*T2^10 + 
     1088*T1^12*T2^10 - 264*T1^5*T2^11 + 560*T1^6*T2^11 - 176*T1^7*T2^11 - 
     1532*T1^8*T2^11 + 3204*T1^9*T2^11 - 3312*T1^10*T2^11 + 
     1840*T1^11*T2^11 - 520*T1^12*T2^11 + 128*T1^6*T2^12 - 520*T1^7*T2^12 + 
     1088*T1^8*T2^12 - 1360*T1^9*T2^12 + 1088*T1^10*T2^12 - 520*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 213] -> 
  {-((1 - 8*T + 28*T^2 - 54*T^3 + 65*T^4 - 54*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 140*T1^2 + 270*T1^3 - 325*T1^4 + 270*T1^5 - 
      140*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 864*T1^2*T2 - 
      1264*T1^3*T2 + 872*T1^4*T2 - 80*T1^5*T2 - 608*T1^6*T2 + 576*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 140*T2^2 + 864*T1*T2^2 - 1956*T1^2*T2^2 + 
      1066*T1^3*T2^2 + 2370*T1^4*T2^2 - 4548*T1^5*T2^2 + 4442*T1^6*T2^2 - 
      1510*T1^7*T2^2 - 444*T1^8*T2^2 + 416*T1^9*T2^2 - 84*T1^10*T2^2 + 
      270*T2^3 - 1264*T1*T2^3 + 1066*T1^2*T2^3 + 5220*T1^3*T2^3 - 
      12871*T1^4*T2^3 + 10428*T1^5*T2^3 - 2944*T1^6*T2^3 - 6329*T1^7*T2^3 + 
      6066*T1^8*T2^3 - 1454*T1^9*T2^3 - 192*T1^10*T2^3 + 108*T1^11*T2^3 - 
      325*T2^4 + 872*T1*T2^4 + 2370*T1^2*T2^4 - 12871*T1^3*T2^4 + 
      13327*T1^4*T2^4 + 8268*T1^5*T2^4 - 23839*T1^6*T2^4 + 28276*T1^7*T2^4 - 
      9777*T1^8*T2^4 - 3583*T1^9*T2^4 + 2738*T1^10*T2^4 - 344*T1^11*T2^4 - 
      65*T1^12*T2^4 + 270*T2^5 - 80*T1*T2^5 - 4548*T1^2*T2^5 + 
      10428*T1^3*T2^5 + 8268*T1^4*T2^5 - 43754*T1^5*T2^5 + 42055*T1^6*T2^5 - 
      19673*T1^7*T2^5 - 18800*T1^8*T2^5 + 22086*T1^9*T2^5 - 5064*T1^10*T2^5 - 
      1140*T1^11*T2^5 + 520*T1^12*T2^5 - 140*T2^6 - 608*T1*T2^6 + 
      4442*T1^2*T2^6 - 2944*T1^3*T2^6 - 23839*T1^4*T2^6 + 42055*T1^5*T2^6 - 
      1837*T1^6*T2^6 - 36597*T1^7*T2^6 + 57891*T1^8*T2^6 - 23865*T1^9*T2^6 - 
      7951*T1^10*T2^6 + 7248*T1^11*T2^6 - 1038*T1^12*T2^6 - 224*T1^13*T2^6 + 
      28*T1^14*T2^6 + 40*T2^7 + 576*T1*T2^7 - 1510*T1^2*T2^7 - 
      6329*T1^3*T2^7 + 28276*T1^4*T2^7 - 19673*T1^5*T2^7 - 36597*T1^6*T2^7 + 
      52998*T1^7*T2^7 - 32556*T1^8*T2^7 - 19873*T1^9*T2^7 + 
      33671*T1^10*T2^7 - 10302*T1^11*T2^7 - 1887*T1^12*T2^7 + 
      1346*T1^13*T2^7 - 96*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 444*T1^2*T2^8 + 6066*T1^3*T2^8 - 9777*T1^4*T2^8 - 
      18800*T1^5*T2^8 + 57891*T1^6*T2^8 - 32556*T1^7*T2^8 - 16092*T1^8*T2^8 + 
      49276*T1^9*T2^8 - 30189*T1^10*T2^8 - 6152*T1^11*T2^8 + 
      11159*T1^12*T2^8 - 2870*T1^13*T2^8 - 156*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 416*T1^2*T2^9 - 1454*T1^3*T2^9 - 
      3583*T1^4*T2^9 + 22086*T1^5*T2^9 - 23865*T1^6*T2^9 - 19873*T1^7*T2^9 + 
      49276*T1^8*T2^9 - 36278*T1^9*T2^9 - 3149*T1^10*T2^9 + 
      29479*T1^11*T2^9 - 16492*T1^12*T2^9 + 859*T1^13*T2^9 + 
      1402*T1^14*T2^9 - 256*T1^15*T2^9 - 24*T1^16*T2^9 - 84*T1^2*T2^10 - 
      192*T1^3*T2^10 + 2738*T1^4*T2^10 - 5064*T1^5*T2^10 - 7951*T1^6*T2^10 + 
      33671*T1^7*T2^10 - 30189*T1^8*T2^10 - 3149*T1^9*T2^10 + 
      29539*T1^10*T2^10 - 32249*T1^11*T2^10 + 7937*T1^12*T2^10 + 
      5128*T1^13*T2^10 - 2742*T1^14*T2^10 + 192*T1^15*T2^10 + 
      84*T1^16*T2^10 + 108*T1^3*T2^11 - 344*T1^4*T2^11 - 1140*T1^5*T2^11 + 
      7248*T1^6*T2^11 - 10302*T1^7*T2^11 - 6152*T1^8*T2^11 + 
      29479*T1^9*T2^11 - 32249*T1^10*T2^11 + 18802*T1^11*T2^11 + 
      3516*T1^12*T2^11 - 8244*T1^13*T2^11 + 2268*T1^14*T2^11 + 
      256*T1^15*T2^11 - 162*T1^16*T2^11 - 65*T1^4*T2^12 + 520*T1^5*T2^12 - 
      1038*T1^6*T2^12 - 1887*T1^7*T2^12 + 11159*T1^8*T2^12 - 
      16492*T1^9*T2^12 + 7937*T1^10*T2^12 + 3516*T1^11*T2^12 - 
      11945*T1^12*T2^12 + 7401*T1^13*T2^12 - 670*T1^14*T2^12 - 
      696*T1^15*T2^12 + 195*T1^16*T2^12 - 224*T1^6*T2^13 + 1346*T1^7*T2^13 - 
      2870*T1^8*T2^13 + 859*T1^9*T2^13 + 5128*T1^10*T2^13 - 
      8244*T1^11*T2^13 + 7401*T1^12*T2^13 - 2024*T1^13*T2^13 - 
      1174*T1^14*T2^13 + 848*T1^15*T2^13 - 162*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 156*T1^8*T2^14 + 1402*T1^9*T2^14 - 2742*T1^10*T2^14 + 
      2268*T1^11*T2^14 - 670*T1^12*T2^14 - 1174*T1^13*T2^14 + 
      1356*T1^14*T2^14 - 544*T1^15*T2^14 + 84*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 256*T1^9*T2^15 + 192*T1^10*T2^15 + 256*T1^11*T2^15 - 
      696*T1^12*T2^15 + 848*T1^13*T2^15 - 544*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 84*T1^10*T2^16 - 
      162*T1^11*T2^16 + 195*T1^12*T2^16 - 162*T1^13*T2^16 + 84*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 214] -> 
  {(1 - 8*T + 28*T^2 - 56*T^3 + 71*T^4 - 56*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 224*T1^3 - 284*T1^4 + 224*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1120*T1^3*T2 + 
     928*T1^4*T2 - 88*T1^5*T2 - 448*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1658*T1^2*T2^2 + 1358*T1^3*T2^2 + 
     1196*T1^4*T2^2 - 4174*T1^5*T2^2 + 3604*T1^6*T2^2 - 1330*T1^7*T2^2 - 
     146*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 224*T2^3 - 
     1120*T1*T2^3 + 1358*T1^2*T2^3 + 2664*T1^3*T2^3 - 9486*T1^4*T2^3 + 
     11560*T1^5*T2^3 - 2776*T1^6*T2^3 - 3942*T1^7*T2^3 + 4176*T1^8*T2^3 - 
     1330*T1^9*T2^3 + 56*T1^11*T2^3 - 284*T2^4 + 928*T1*T2^4 + 
     1196*T1^2*T2^4 - 9486*T1^3*T2^4 + 14743*T1^4*T2^4 - 4734*T1^5*T2^4 - 
     18067*T1^6*T2^4 + 20162*T1^7*T2^4 - 8385*T1^8*T2^4 - 1198*T1^9*T2^4 + 
     1980*T1^10*T2^4 - 448*T1^11*T2^4 + 224*T2^5 - 88*T1*T2^5 - 
     4174*T1^2*T2^5 + 11560*T1^3*T2^5 - 4734*T1^4*T2^5 - 22036*T1^5*T2^5 + 
     45330*T1^6*T2^5 - 20750*T1^7*T2^5 - 8980*T1^8*T2^5 + 16066*T1^9*T2^5 - 
     6360*T1^10*T2^5 + 50*T1^11*T2^5 + 448*T1^12*T2^5 - 56*T1^13*T2^5 - 
     112*T2^6 - 448*T1*T2^6 + 3604*T1^2*T2^6 - 2776*T1^3*T2^6 - 
     18067*T1^4*T2^6 + 45330*T1^5*T2^6 - 39530*T1^6*T2^6 - 21560*T1^7*T2^6 + 
     49958*T1^8*T2^6 - 29486*T1^9*T2^6 + 861*T1^10*T2^6 + 6184*T1^11*T2^6 - 
     2052*T1^12*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1330*T1^2*T2^7 - 3942*T1^3*T2^7 + 20162*T1^4*T2^7 - 20750*T1^5*T2^7 - 
     21560*T1^6*T2^7 + 82994*T1^7*T2^7 - 66638*T1^8*T2^7 + 3080*T1^9*T2^7 + 
     27858*T1^10*T2^7 - 17022*T1^11*T2^7 + 1490*T1^12*T2^7 + 
     1358*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 146*T1^2*T2^8 + 4176*T1^3*T2^8 - 8385*T1^4*T2^8 - 
     8980*T1^5*T2^8 + 49958*T1^6*T2^8 - 66638*T1^7*T2^8 + 4200*T1^8*T2^8 + 
     62834*T1^9*T2^8 - 52858*T1^10*T2^8 + 11564*T1^11*T2^8 + 
     8311*T1^12*T2^8 - 4336*T1^13*T2^8 + 142*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1330*T1^3*T2^9 - 
     1198*T1^4*T2^9 + 16066*T1^5*T2^9 - 29486*T1^6*T2^9 + 3080*T1^7*T2^9 + 
     62834*T1^8*T2^9 - 86798*T1^9*T2^9 + 27720*T1^10*T2^9 + 
     19122*T1^11*T2^9 - 21118*T1^12*T2^9 + 4234*T1^13*T2^9 + 
     1358*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 + 
     1980*T1^4*T2^10 - 6360*T1^5*T2^10 + 861*T1^6*T2^10 + 27858*T1^7*T2^10 - 
     52858*T1^8*T2^10 + 27720*T1^9*T2^10 + 36630*T1^10*T2^10 - 
     46958*T1^11*T2^10 + 19789*T1^12*T2^10 + 2600*T1^13*T2^10 - 
     3676*T1^14*T2^10 + 448*T1^15*T2^10 + 112*T1^16*T2^10 + 56*T1^3*T2^11 - 
     448*T1^4*T2^11 + 50*T1^5*T2^11 + 6184*T1^6*T2^11 - 17022*T1^7*T2^11 + 
     11564*T1^8*T2^11 + 19122*T1^9*T2^11 - 46958*T1^10*T2^11 + 
     24620*T1^11*T2^11 + 3778*T1^12*T2^11 - 11736*T1^13*T2^11 + 
     4274*T1^14*T2^11 + 88*T1^15*T2^11 - 224*T1^16*T2^11 + 448*T1^5*T2^12 - 
     2052*T1^6*T2^12 + 1490*T1^7*T2^12 + 8311*T1^8*T2^12 - 21118*T1^9*T2^12 + 
     19789*T1^10*T2^12 + 3778*T1^11*T2^12 - 14817*T1^12*T2^12 + 
     9778*T1^13*T2^12 - 1268*T1^14*T2^12 - 928*T1^15*T2^12 + 
     284*T1^16*T2^12 - 56*T1^5*T2^13 + 1358*T1^7*T2^13 - 4336*T1^8*T2^13 + 
     4234*T1^9*T2^13 + 2600*T1^10*T2^13 - 11736*T1^11*T2^13 + 
     9778*T1^12*T2^13 - 2824*T1^13*T2^13 - 1330*T1^14*T2^13 + 
     1120*T1^15*T2^13 - 224*T1^16*T2^13 + 56*T1^6*T2^14 - 256*T1^7*T2^14 + 
     142*T1^8*T2^14 + 1358*T1^9*T2^14 - 3676*T1^10*T2^14 + 4274*T1^11*T2^14 - 
     1268*T1^12*T2^14 - 1330*T1^13*T2^14 + 1654*T1^14*T2^14 - 
     704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     416*T1^9*T2^15 + 448*T1^10*T2^15 + 88*T1^11*T2^15 - 928*T1^12*T2^15 + 
     1120*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 224*T1^11*T2^16 + 
     284*T1^12*T2^16 - 224*T1^13*T2^16 + 112*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 215] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 66*T1^2 + 126*T1^3 - 153*T1^4 + 126*T1^5 - 66*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 574*T1^3*T2 + 
      483*T1^4*T2 - 168*T1^5*T2 - 126*T1^6*T2 + 161*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 789*T1^2*T2^2 + 777*T1^3*T2^2 + 
      238*T1^4*T2^2 - 1261*T1^5*T2^2 + 1514*T1^6*T2^2 - 763*T1^7*T2^2 + 
      135*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 126*T2^3 - 574*T1*T2^3 + 
      777*T1^2*T2^3 + 364*T1^3*T2^3 - 2991*T1^4*T2^3 + 3865*T1^5*T2^3 - 
      2393*T1^6*T2^3 - 443*T1^7*T2^3 + 1316*T1^8*T2^3 - 763*T1^9*T2^3 + 
      154*T1^10*T2^3 - 153*T2^4 + 483*T1*T2^4 + 238*T1^2*T2^4 - 
      2991*T1^3*T2^4 + 6068*T1^4*T2^4 - 3829*T1^5*T2^4 - 1594*T1^6*T2^4 + 
      6083*T1^7*T2^4 - 4312*T1^8*T2^4 + 789*T1^9*T2^4 + 610*T1^10*T2^4 - 
      357*T1^11*T2^4 + 51*T1^12*T2^4 + 126*T2^5 - 168*T1*T2^5 - 
      1261*T1^2*T2^5 + 3865*T1^3*T2^5 - 3829*T1^4*T2^5 - 3949*T1^5*T2^5 + 
      11668*T1^6*T2^5 - 11810*T1^7*T2^5 + 2099*T1^8*T2^5 + 4718*T1^9*T2^5 - 
      3485*T1^10*T2^5 + 692*T1^11*T2^5 + 231*T1^12*T2^5 - 84*T1^13*T2^5 - 
      66*T2^6 - 126*T1*T2^6 + 1514*T1^2*T2^6 - 2393*T1^3*T2^6 - 
      1594*T1^4*T2^6 + 11668*T1^5*T2^6 - 15027*T1^6*T2^6 + 4215*T1^7*T2^6 + 
      11661*T1^8*T2^6 - 13616*T1^9*T2^6 + 2870*T1^10*T2^6 + 2227*T1^11*T2^6 - 
      1570*T1^12*T2^6 + 126*T1^13*T2^6 + 66*T1^14*T2^6 + 21*T2^7 + 
      161*T1*T2^7 - 763*T1^2*T2^7 - 443*T1^3*T2^7 + 6083*T1^4*T2^7 - 
      11810*T1^5*T2^7 + 4215*T1^6*T2^7 + 17105*T1^7*T2^7 - 26631*T1^8*T2^7 + 
      12559*T1^9*T2^7 + 8056*T1^10*T2^7 - 7924*T1^11*T2^7 + 1937*T1^12*T2^7 + 
      777*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      135*T1^2*T2^8 + 1316*T1^3*T2^8 - 4312*T1^4*T2^8 + 2099*T1^5*T2^8 + 
      11661*T1^6*T2^8 - 26631*T1^7*T2^8 + 13116*T1^8*T2^8 + 14039*T1^9*T2^8 - 
      27191*T1^10*T2^8 + 9533*T1^11*T2^8 + 1644*T1^12*T2^8 - 
      2576*T1^13*T2^8 + 189*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 56*T1^2*T2^9 - 763*T1^3*T2^9 + 789*T1^4*T2^9 + 
      4718*T1^5*T2^9 - 13616*T1^6*T2^9 + 12559*T1^7*T2^9 + 14039*T1^8*T2^9 - 
      29697*T1^9*T2^9 + 20903*T1^10*T2^9 + 6250*T1^11*T2^9 - 
      9289*T1^12*T2^9 + 3169*T1^13*T2^9 + 777*T1^14*T2^9 - 371*T1^15*T2^9 - 
      35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 610*T1^4*T2^10 - 
      3485*T1^5*T2^10 + 2870*T1^6*T2^10 + 8056*T1^7*T2^10 - 
      27191*T1^8*T2^10 + 20903*T1^9*T2^10 - 503*T1^10*T2^10 - 
      17228*T1^11*T2^10 + 7334*T1^12*T2^10 + 1135*T1^13*T2^10 - 
      2474*T1^14*T2^10 + 406*T1^15*T2^10 + 110*T1^16*T2^10 - 357*T1^4*T2^11 + 
      692*T1^5*T2^11 + 2227*T1^6*T2^11 - 7924*T1^7*T2^11 + 9533*T1^8*T2^11 + 
      6250*T1^9*T2^11 - 17228*T1^10*T2^11 + 15581*T1^11*T2^11 + 
      623*T1^12*T2^11 - 5123*T1^13*T2^11 + 2645*T1^14*T2^11 + 
      42*T1^15*T2^11 - 210*T1^16*T2^11 + 51*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1570*T1^6*T2^12 + 1937*T1^7*T2^12 + 1644*T1^8*T2^12 - 9289*T1^9*T2^12 + 
      7334*T1^10*T2^12 + 623*T1^11*T2^12 - 8736*T1^12*T2^12 + 
      5717*T1^13*T2^12 - 1198*T1^14*T2^12 - 609*T1^15*T2^12 + 
      255*T1^16*T2^12 - 84*T1^5*T2^13 + 126*T1^6*T2^13 + 777*T1^7*T2^13 - 
      2576*T1^8*T2^13 + 3169*T1^9*T2^13 + 1135*T1^10*T2^13 - 
      5123*T1^11*T2^13 + 5717*T1^12*T2^13 - 1624*T1^13*T2^13 - 
      763*T1^14*T2^13 + 854*T1^15*T2^13 - 210*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 189*T1^8*T2^14 + 777*T1^9*T2^14 - 2474*T1^10*T2^14 + 
      2645*T1^11*T2^14 - 1198*T1^12*T2^14 - 763*T1^13*T2^14 + 
      1113*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 406*T1^10*T2^15 + 42*T1^11*T2^15 - 
      609*T1^12*T2^15 + 854*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      210*T1^11*T2^16 + 255*T1^12*T2^16 - 210*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 216] -> {((1 - 3*T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/
    T^4, ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-6 + 24*T1 - 30*T1^2 + 30*T1^3 - 30*T1^4 + 24*T1^5 - 6*T1^6 + 24*T2 - 
      79*T1*T2 + 52*T1^2*T2 - 35*T1^3*T2 + 35*T1^4*T2 - 11*T1^5*T2 - 
      44*T1^6*T2 + 17*T1^7*T2 - 30*T2^2 + 52*T1*T2^2 + 102*T1^2*T2^2 - 
      126*T1^3*T2^2 + 112*T1^4*T2^2 - 141*T1^5*T2^2 + 162*T1^6*T2^2 - 
      8*T1^7*T2^2 - 15*T1^8*T2^2 + 30*T2^3 - 35*T1*T2^3 - 126*T1^2*T2^3 + 
      55*T1^3*T2^3 - 19*T1^4*T2^3 + 51*T1^5*T2^3 - 50*T1^6*T2^3 - 
      101*T1^7*T2^3 + 20*T1^8*T2^3 + 10*T1^9*T2^3 - 30*T2^4 + 35*T1*T2^4 + 
      112*T1^2*T2^4 - 19*T1^3*T2^4 + 16*T1^4*T2^4 - 65*T1^5*T2^4 + 
      71*T1^6*T2^4 + 36*T1^7*T2^4 + 57*T1^8*T2^4 - 20*T1^9*T2^4 - 
      5*T1^10*T2^4 + 24*T2^5 - 11*T1*T2^5 - 141*T1^2*T2^5 + 51*T1^3*T2^5 - 
      65*T1^4*T2^5 + 119*T1^5*T2^5 - 91*T1^6*T2^5 - 25*T1^7*T2^5 - 
      24*T1^8*T2^5 - 31*T1^9*T2^5 + 24*T1^10*T2^5 - T1^11*T2^5 - 6*T2^6 - 
      44*T1*T2^6 + 162*T1^2*T2^6 - 50*T1^3*T2^6 + 71*T1^4*T2^6 - 
      91*T1^5*T2^6 - 24*T1^6*T2^6 + 115*T1^7*T2^6 - 49*T1^8*T2^6 + 
      70*T1^9*T2^6 - 36*T1^10*T2^6 - 4*T1^11*T2^6 + 2*T1^12*T2^6 + 
      17*T1*T2^7 - 8*T1^2*T2^7 - 101*T1^3*T2^7 + 36*T1^4*T2^7 - 
      25*T1^5*T2^7 + 115*T1^6*T2^7 - 95*T1^7*T2^7 + 15*T1^8*T2^7 - 
      39*T1^9*T2^7 + 9*T1^10*T2^7 + 27*T1^11*T2^7 - 8*T1^12*T2^7 - 
      15*T1^2*T2^8 + 20*T1^3*T2^8 + 57*T1^4*T2^8 - 24*T1^5*T2^8 - 
      49*T1^6*T2^8 + 15*T1^7*T2^8 + 6*T1^8*T2^8 + 31*T1^9*T2^8 + 
      2*T1^10*T2^8 - 35*T1^11*T2^8 + 10*T1^12*T2^8 + 10*T1^3*T2^9 - 
      20*T1^4*T2^9 - 31*T1^5*T2^9 + 70*T1^6*T2^9 - 39*T1^7*T2^9 + 
      31*T1^8*T2^9 - 35*T1^9*T2^9 - 6*T1^10*T2^9 + 35*T1^11*T2^9 - 
      10*T1^12*T2^9 - 5*T1^4*T2^10 + 24*T1^5*T2^10 - 36*T1^6*T2^10 + 
      9*T1^7*T2^10 + 2*T1^8*T2^10 - 6*T1^9*T2^10 + 24*T1^10*T2^10 - 
      36*T1^11*T2^10 + 10*T1^12*T2^10 - T1^5*T2^11 - 4*T1^6*T2^11 + 
      27*T1^7*T2^11 - 35*T1^8*T2^11 + 35*T1^9*T2^11 - 36*T1^10*T2^11 + 
      31*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
      10*T1^8*T2^12 - 10*T1^9*T2^12 + 10*T1^10*T2^12 - 8*T1^11*T2^12 + 
      2*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 217] -> 
  {(1 - 7*T + 22*T^2 - 42*T^3 + 53*T^4 - 42*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 168*T1^3 - 212*T1^4 + 168*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 714*T1^3*T2 + 
     602*T1^4*T2 - 63*T1^5*T2 - 266*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 773*T1^3*T2^2 + 
     541*T1^4*T2^2 - 2246*T1^5*T2^2 + 1905*T1^6*T2^2 - 767*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 168*T2^3 - 714*T1*T2^3 + 
     773*T1^2*T2^3 + 996*T1^3*T2^3 - 4054*T1^4*T2^3 + 5432*T1^5*T2^3 - 
     1134*T1^6*T2^3 - 1758*T1^7*T2^3 + 1948*T1^8*T2^3 - 767*T1^9*T2^3 + 
     14*T1^10*T2^3 + 42*T1^11*T2^3 - 212*T2^4 + 602*T1*T2^4 + 541*T1^2*T2^4 - 
     4054*T1^3*T2^4 + 6654*T1^4*T2^4 - 3487*T1^5*T2^4 - 6816*T1^6*T2^4 + 
     7321*T1^7*T2^4 - 2902*T1^8*T2^4 - 610*T1^9*T2^4 + 1089*T1^10*T2^4 - 
     294*T1^11*T2^4 + 168*T2^5 - 63*T1*T2^5 - 2246*T1^2*T2^5 + 
     5432*T1^3*T2^5 - 3487*T1^4*T2^5 - 6205*T1^5*T2^5 + 16682*T1^6*T2^5 - 
     5956*T1^7*T2^5 - 4819*T1^8*T2^5 + 6446*T1^9*T2^5 - 2842*T1^10*T2^5 + 
     T1^11*T2^5 + 294*T1^12*T2^5 - 42*T1^13*T2^5 - 88*T2^6 - 266*T1*T2^6 + 
     1905*T1^2*T2^6 - 1134*T1^3*T2^6 - 6816*T1^4*T2^6 + 16682*T1^5*T2^6 - 
     14683*T1^6*T2^6 - 10279*T1^7*T2^6 + 19221*T1^8*T2^6 - 9330*T1^9*T2^6 - 
     240*T1^10*T2^6 + 2870*T1^11*T2^6 - 1091*T1^12*T2^6 - 14*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 767*T1^2*T2^7 - 1758*T1^3*T2^7 + 
     7321*T1^4*T2^7 - 5956*T1^5*T2^7 - 10279*T1^6*T2^7 + 32569*T1^7*T2^7 - 
     23431*T1^8*T2^7 - 2103*T1^9*T2^7 + 9934*T1^10*T2^7 - 6112*T1^11*T2^7 + 
     538*T1^12*T2^7 + 773*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 1948*T1^3*T2^8 - 2902*T1^4*T2^8 - 
     4819*T1^5*T2^8 + 19221*T1^6*T2^8 - 23431*T1^7*T2^8 + 24*T1^8*T2^8 + 
     24295*T1^9*T2^8 - 15759*T1^10*T2^8 + 3203*T1^11*T2^8 + 3070*T1^12*T2^8 - 
     1944*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 767*T1^3*T2^9 - 610*T1^4*T2^9 + 
     6446*T1^5*T2^9 - 9330*T1^6*T2^9 - 2103*T1^7*T2^9 + 24295*T1^8*T2^9 - 
     31705*T1^9*T2^9 + 6073*T1^10*T2^9 + 6560*T1^11*T2^9 - 6987*T1^12*T2^9 + 
     1686*T1^13*T2^9 + 773*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 14*T1^3*T2^10 + 1089*T1^4*T2^10 - 2842*T1^5*T2^10 - 
     240*T1^6*T2^10 + 9934*T1^7*T2^10 - 15759*T1^8*T2^10 + 6073*T1^9*T2^10 + 
     18145*T1^10*T2^10 - 16078*T1^11*T2^10 + 6336*T1^12*T2^10 + 
     1162*T1^13*T2^10 - 1907*T1^14*T2^10 + 266*T1^15*T2^10 + 88*T1^16*T2^10 + 
     42*T1^3*T2^11 - 294*T1^4*T2^11 + T1^5*T2^11 + 2870*T1^6*T2^11 - 
     6112*T1^7*T2^11 + 3203*T1^8*T2^11 + 6560*T1^9*T2^11 - 
     16078*T1^10*T2^11 + 4589*T1^11*T2^11 + 3821*T1^12*T2^11 - 
     5404*T1^13*T2^11 + 2248*T1^14*T2^11 + 63*T1^15*T2^11 - 168*T1^16*T2^11 + 
     294*T1^5*T2^12 - 1091*T1^6*T2^12 + 538*T1^7*T2^12 + 3070*T1^8*T2^12 - 
     6987*T1^9*T2^12 + 6336*T1^10*T2^12 + 3821*T1^11*T2^12 - 
     6486*T1^12*T2^12 + 3982*T1^13*T2^12 - 543*T1^14*T2^12 - 
     602*T1^15*T2^12 + 212*T1^16*T2^12 - 42*T1^5*T2^13 - 14*T1^6*T2^13 + 
     773*T1^7*T2^13 - 1944*T1^8*T2^13 + 1686*T1^9*T2^13 + 1162*T1^10*T2^13 - 
     5404*T1^11*T2^13 + 3982*T1^12*T2^13 - 992*T1^13*T2^13 - 
     767*T1^14*T2^13 + 714*T1^15*T2^13 - 168*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 26*T1^8*T2^14 + 773*T1^9*T2^14 - 1907*T1^10*T2^14 + 
     2248*T1^11*T2^14 - 543*T1^12*T2^14 - 767*T1^13*T2^14 + 950*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 266*T1^10*T2^15 + 63*T1^11*T2^15 - 602*T1^12*T2^15 + 
     714*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 168*T1^11*T2^16 + 
     212*T1^12*T2^16 - 168*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 218] -> {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-33 + 148*T1 - 213*T1^2 + 148*T1^3 - 33*T1^4 + 148*T2 - 576*T1*T2 + 
      562*T1^2*T2 - 98*T1^3*T2 - 246*T1^4*T2 + 88*T1^5*T2 - 213*T2^2 + 
      562*T1*T2^2 + 285*T1^2*T2^2 - 1253*T1^3*T2^2 + 1143*T1^4*T2^2 - 
      140*T1^5*T2^2 - 57*T1^6*T2^2 + 148*T2^3 - 98*T1*T2^3 - 1253*T1^2*T2^3 + 
      1804*T1^3*T2^3 - 770*T1^4*T2^3 - 551*T1^5*T2^3 + 292*T1^6*T2^3 - 
      8*T1^7*T2^3 - 33*T2^4 - 246*T1*T2^4 + 1143*T1^2*T2^4 - 770*T1^3*T2^4 - 
      684*T1^4*T2^4 + 1390*T1^5*T2^4 - 489*T1^6*T2^4 - 30*T1^7*T2^4 + 
      15*T1^8*T2^4 + 88*T1*T2^5 - 140*T1^2*T2^5 - 551*T1^3*T2^5 + 
      1390*T1^4*T2^5 - 1184*T1^5*T2^5 + 151*T1^6*T2^5 + 250*T1^7*T2^5 - 
      68*T1^8*T2^5 - 57*T1^2*T2^6 + 292*T1^3*T2^6 - 489*T1^4*T2^6 + 
      151*T1^5*T2^6 + 369*T1^6*T2^6 - 410*T1^7*T2^6 + 99*T1^8*T2^6 - 
      8*T1^3*T2^7 - 30*T1^4*T2^7 + 250*T1^5*T2^7 - 410*T1^6*T2^7 + 
      300*T1^7*T2^7 - 68*T1^8*T2^7 + 15*T1^4*T2^8 - 68*T1^5*T2^8 + 
      99*T1^6*T2^8 - 68*T1^7*T2^8 + 15*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 219] -> 
  {(1 - 7*T + 22*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 44*T1^2 + 76*T1^3 - 90*T1^4 + 76*T1^5 - 44*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 259*T1^2*T2 - 378*T1^3*T2 + 364*T1^4*T2 - 
     217*T1^5*T2 + 42*T1^6*T2 + 56*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     44*T2^2 + 259*T1*T2^2 - 626*T1^2*T2^2 + 603*T1^3*T2^2 - 143*T1^4*T2^2 - 
     500*T1^5*T2^2 + 869*T1^6*T2^2 - 761*T1^7*T2^2 + 298*T1^8*T2^2 - 
     49*T1^9*T2^2 + 76*T2^3 - 378*T1*T2^3 + 603*T1^2*T2^3 + 420*T1^3*T2^3 - 
     2076*T1^4*T2^3 + 3160*T1^5*T2^3 - 2782*T1^6*T2^3 + 1236*T1^7*T2^3 + 
     400*T1^8*T2^3 - 673*T1^9*T2^3 + 266*T1^10*T2^3 - 38*T1^11*T2^3 - 
     90*T2^4 + 364*T1*T2^4 - 143*T1^2*T2^4 - 2076*T1^3*T2^4 + 
     4132*T1^4*T2^4 - 3461*T1^5*T2^4 + 294*T1^6*T2^4 + 3195*T1^7*T2^4 - 
     4440*T1^8*T2^4 + 2256*T1^9*T2^4 + 93*T1^10*T2^4 - 364*T1^11*T2^4 + 
     90*T1^12*T2^4 + 76*T2^5 - 217*T1*T2^5 - 500*T1^2*T2^5 + 3160*T1^3*T2^5 - 
     3461*T1^4*T2^5 - 1873*T1^5*T2^5 + 7890*T1^6*T2^5 - 10308*T1^7*T2^5 + 
     6557*T1^8*T2^5 + 600*T1^9*T2^5 - 3722*T1^10*T2^5 + 1099*T1^11*T2^5 + 
     168*T1^12*T2^5 - 114*T1^13*T2^5 - 44*T2^6 + 42*T1*T2^6 + 869*T1^2*T2^6 - 
     2782*T1^3*T2^6 + 294*T1^4*T2^6 + 7890*T1^5*T2^6 - 9757*T1^6*T2^6 + 
     4633*T1^7*T2^6 + 5571*T1^8*T2^6 - 11690*T1^9*T2^6 + 7382*T1^10*T2^6 + 
     1750*T1^11*T2^6 - 1695*T1^12*T2^6 + 182*T1^13*T2^6 + 88*T1^14*T2^6 + 
     14*T2^7 + 56*T1*T2^7 - 761*T1^2*T2^7 + 1236*T1^3*T2^7 + 3195*T1^4*T2^7 - 
     10308*T1^5*T2^7 + 4633*T1^6*T2^7 + 3485*T1^7*T2^7 - 9903*T1^8*T2^7 + 
     5769*T1^9*T2^7 + 5126*T1^10*T2^7 - 11246*T1^11*T2^7 + 2004*T1^12*T2^7 + 
     1043*T1^13*T2^7 - 371*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     298*T1^2*T2^8 + 400*T1^3*T2^8 - 4440*T1^4*T2^8 + 6557*T1^5*T2^8 + 
     5571*T1^6*T2^8 - 9903*T1^7*T2^8 + 8100*T1^8*T2^8 + 2623*T1^9*T2^8 - 
     9769*T1^10*T2^8 + 6563*T1^11*T2^8 + 7124*T1^12*T2^8 - 4100*T1^13*T2^8 + 
     352*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 673*T1^3*T2^9 + 2256*T1^4*T2^9 + 600*T1^5*T2^9 - 
     11690*T1^6*T2^9 + 5769*T1^7*T2^9 + 2623*T1^8*T2^9 - 10765*T1^9*T2^9 + 
     6905*T1^10*T2^9 + 3744*T1^11*T2^9 - 13841*T1^12*T2^9 + 3024*T1^13*T2^9 + 
     1131*T1^14*T2^9 - 476*T1^15*T2^9 - 42*T1^16*T2^9 + 266*T1^3*T2^10 + 
     93*T1^4*T2^10 - 3722*T1^5*T2^10 + 7382*T1^6*T2^10 + 5126*T1^7*T2^10 - 
     9769*T1^8*T2^10 + 6905*T1^9*T2^10 + 5559*T1^10*T2^10 - 
     14454*T1^11*T2^10 + 14470*T1^12*T2^10 + 810*T1^13*T2^10 - 
     2471*T1^14*T2^10 + 406*T1^15*T2^10 + 132*T1^16*T2^10 - 38*T1^3*T2^11 - 
     364*T1^4*T2^11 + 1099*T1^5*T2^11 + 1750*T1^6*T2^11 - 11246*T1^7*T2^11 + 
     6563*T1^8*T2^11 + 3744*T1^9*T2^11 - 14454*T1^10*T2^11 + 
     14993*T1^11*T2^11 - 7185*T1^12*T2^11 - 5132*T1^13*T2^11 + 
     2698*T1^14*T2^11 + 21*T1^15*T2^11 - 228*T1^16*T2^11 + 90*T1^4*T2^12 + 
     168*T1^5*T2^12 - 1695*T1^6*T2^12 + 2004*T1^7*T2^12 + 7124*T1^8*T2^12 - 
     13841*T1^9*T2^12 + 14470*T1^10*T2^12 - 7185*T1^11*T2^12 - 
     1448*T1^12*T2^12 + 6336*T1^13*T2^12 - 1459*T1^14*T2^12 - 
     560*T1^15*T2^12 + 270*T1^16*T2^12 - 114*T1^5*T2^13 + 182*T1^6*T2^13 + 
     1043*T1^7*T2^13 - 4100*T1^8*T2^13 + 3024*T1^9*T2^13 + 810*T1^10*T2^13 - 
     5132*T1^11*T2^13 + 6336*T1^12*T2^13 - 4120*T1^13*T2^13 - 
     233*T1^14*T2^13 + 826*T1^15*T2^13 - 228*T1^16*T2^13 + 88*T1^6*T2^14 - 
     371*T1^7*T2^14 + 352*T1^8*T2^14 + 1131*T1^9*T2^14 - 2471*T1^10*T2^14 + 
     2698*T1^11*T2^14 - 1459*T1^12*T2^14 - 233*T1^13*T2^14 + 
     1276*T1^14*T2^14 - 679*T1^15*T2^14 + 132*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 476*T1^9*T2^15 + 406*T1^10*T2^15 + 21*T1^11*T2^15 - 
     560*T1^12*T2^15 + 826*T1^13*T2^15 - 679*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 132*T1^10*T2^16 - 
     228*T1^11*T2^16 + 270*T1^12*T2^16 - 228*T1^13*T2^16 + 132*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 220] -> 
  {-(((1 - 4*T + 7*T^2 - 4*T^3 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 35*T1 - 110*T1^2 + 200*T1^3 - 235*T1^4 + 200*T1^5 - 110*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 784*T1^3*T2 + 
      525*T1^4*T2 - 84*T1^5*T2 - 350*T1^6*T2 + 371*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 541*T1^3*T2^2 + 
      1247*T1^4*T2^2 - 2215*T1^5*T2^2 + 2347*T1^6*T2^2 - 911*T1^7*T2^2 - 
      189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 200*T2^3 - 
      784*T1*T2^3 + 541*T1^2*T2^3 + 2454*T1^3*T2^3 - 5762*T1^4*T2^3 + 
      4320*T1^5*T2^3 - 1638*T1^6*T2^3 - 2694*T1^7*T2^3 + 2908*T1^8*T2^3 - 
      867*T1^9*T2^3 - 98*T1^10*T2^3 + 80*T1^11*T2^3 - 235*T2^4 + 
      525*T1*T2^4 + 1247*T1^2*T2^4 - 5762*T1^3*T2^4 + 5824*T1^4*T2^4 + 
      3076*T1^5*T2^4 - 7918*T1^6*T2^4 + 10872*T1^7*T2^4 - 4008*T1^8*T2^4 - 
      1522*T1^9*T2^4 + 1463*T1^10*T2^4 - 231*T1^11*T2^4 - 47*T1^12*T2^4 + 
      200*T2^5 - 84*T1*T2^5 - 2215*T1^2*T2^5 + 4320*T1^3*T2^5 + 
      3076*T1^4*T2^5 - 16355*T1^5*T2^5 + 13689*T1^6*T2^5 - 7477*T1^7*T2^5 - 
      6893*T1^8*T2^5 + 8623*T1^9*T2^5 - 2354*T1^10*T2^5 - 586*T1^11*T2^5 + 
      329*T1^12*T2^5 - 110*T2^6 - 350*T1*T2^6 + 2347*T1^2*T2^6 - 
      1638*T1^3*T2^6 - 7918*T1^4*T2^6 + 13689*T1^5*T2^6 + 2800*T1^6*T2^6 - 
      13084*T1^7*T2^6 + 20312*T1^8*T2^6 - 8315*T1^9*T2^6 - 3086*T1^10*T2^6 + 
      3246*T1^11*T2^6 - 521*T1^12*T2^6 - 154*T1^13*T2^6 + 22*T1^14*T2^6 + 
      35*T2^7 + 371*T1*T2^7 - 911*T1^2*T2^7 - 2694*T1^3*T2^7 + 
      10872*T1^4*T2^7 - 7477*T1^5*T2^7 - 13084*T1^6*T2^7 + 14399*T1^7*T2^7 - 
      7419*T1^8*T2^7 - 8592*T1^9*T2^7 + 12013*T1^10*T2^7 - 3671*T1^11*T2^7 - 
      1074*T1^12*T2^7 + 761*T1^13*T2^7 - 56*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2908*T1^3*T2^8 - 
      4008*T1^4*T2^8 - 6893*T1^5*T2^8 + 20312*T1^6*T2^8 - 7419*T1^7*T2^8 - 
      7524*T1^8*T2^8 + 14811*T1^9*T2^8 - 7816*T1^10*T2^8 - 3635*T1^11*T2^8 + 
      4800*T1^12*T2^8 - 1296*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 867*T1^3*T2^9 - 
      1522*T1^4*T2^9 + 8623*T1^5*T2^9 - 8315*T1^6*T2^9 - 8592*T1^7*T2^9 + 
      14811*T1^8*T2^9 - 7007*T1^9*T2^9 - 4100*T1^10*T2^9 + 11175*T1^11*T2^9 - 
      5920*T1^12*T2^9 + 98*T1^13*T2^9 + 805*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 98*T1^3*T2^10 + 1463*T1^4*T2^10 - 
      2354*T1^5*T2^10 - 3086*T1^6*T2^10 + 12013*T1^7*T2^10 - 
      7816*T1^8*T2^10 - 4100*T1^9*T2^10 + 9696*T1^10*T2^10 - 
      9991*T1^11*T2^10 + 1746*T1^12*T2^10 + 2530*T1^13*T2^10 - 
      1405*T1^14*T2^10 + 98*T1^15*T2^10 + 66*T1^16*T2^10 + 80*T1^3*T2^11 - 
      231*T1^4*T2^11 - 586*T1^5*T2^11 + 3246*T1^6*T2^11 - 3671*T1^7*T2^11 - 
      3635*T1^8*T2^11 + 11175*T1^9*T2^11 - 9991*T1^10*T2^11 + 
      5827*T1^11*T2^11 + 1876*T1^12*T2^11 - 3428*T1^13*T2^11 + 
      1043*T1^14*T2^11 + 182*T1^15*T2^11 - 120*T1^16*T2^11 - 47*T1^4*T2^12 + 
      329*T1^5*T2^12 - 521*T1^6*T2^12 - 1074*T1^7*T2^12 + 4800*T1^8*T2^12 - 
      5920*T1^9*T2^12 + 1746*T1^10*T2^12 + 1876*T1^11*T2^12 - 
      5032*T1^12*T2^12 + 3166*T1^13*T2^12 - 305*T1^14*T2^12 - 
      427*T1^15*T2^12 + 141*T1^16*T2^12 - 154*T1^6*T2^13 + 761*T1^7*T2^13 - 
      1296*T1^8*T2^13 + 98*T1^9*T2^13 + 2530*T1^10*T2^13 - 3428*T1^11*T2^13 + 
      3166*T1^12*T2^13 - 842*T1^13*T2^13 - 647*T1^14*T2^13 + 
      532*T1^15*T2^13 - 120*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 805*T1^9*T2^14 - 1405*T1^10*T2^14 + 1043*T1^11*T2^14 - 
      305*T1^12*T2^14 - 647*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      98*T1^10*T2^15 + 182*T1^11*T2^15 - 427*T1^12*T2^15 + 532*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 120*T1^11*T2^16 + 141*T1^12*T2^16 - 
      120*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 221] -> 
  {-(((-2 + 6*T - 4*T^2 + T^3)*(-1 + 4*T - 6*T^2 + 2*T^3))/T^3), 
   -((-25 + 175*T1 - 501*T1^2 + 715*T1^3 - 501*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2674*T1^2*T2 - 2618*T1^3*T2 + 98*T1^4*T2 + 
      1162*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 501*T2^2 + 2674*T1*T2^2 - 
      4397*T1^2*T2^2 - 1091*T1^3*T2^2 + 10157*T1^4*T2^2 - 7971*T1^5*T2^2 + 
      1683*T1^6*T2^2 + 434*T1^7*T2^2 - 181*T1^8*T2^2 + 715*T2^3 - 
      2618*T1*T2^3 - 1091*T1^2*T2^3 + 18558*T1^3*T2^3 - 28800*T1^4*T2^3 + 
      7052*T1^5*T2^3 + 8496*T1^6*T2^3 - 5811*T1^7*T2^3 + 1050*T1^8*T2^3 + 
      31*T1^9*T2^3 - 501*T2^4 + 98*T1*T2^4 + 10157*T1^2*T2^4 - 
      28800*T1^3*T2^4 + 16098*T1^4*T2^4 + 34582*T1^5*T2^4 - 40370*T1^6*T2^4 + 
      13608*T1^7*T2^4 + 613*T1^8*T2^4 - 1190*T1^9*T2^4 + 139*T1^10*T2^4 + 
      175*T2^5 + 1162*T1*T2^5 - 7971*T1^2*T2^5 + 7052*T1^3*T2^5 + 
      34582*T1^4*T2^5 - 83422*T1^5*T2^5 + 49258*T1^6*T2^5 + 4982*T1^7*T2^5 - 
      15688*T1^8*T2^5 + 5389*T1^9*T2^5 - 238*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 1683*T1^2*T2^6 + 8496*T1^3*T2^6 - 
      40370*T1^4*T2^6 + 49258*T1^5*T2^6 + 13032*T1^6*T2^6 - 58886*T1^7*T2^6 + 
      37502*T1^8*T2^6 - 6312*T1^9*T2^6 - 1933*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 434*T1^2*T2^7 - 5811*T1^3*T2^7 + 
      13608*T1^4*T2^7 + 4982*T1^5*T2^7 - 58886*T1^6*T2^7 + 73794*T1^7*T2^7 - 
      24618*T1^8*T2^7 - 9132*T1^9*T2^7 + 7549*T1^10*T2^7 - 966*T1^11*T2^7 - 
      161*T1^12*T2^7 - 181*T1^2*T2^8 + 1050*T1^3*T2^8 + 613*T1^4*T2^8 - 
      15688*T1^5*T2^8 + 37502*T1^6*T2^8 - 24618*T1^7*T2^8 - 18966*T1^8*T2^8 + 
      26720*T1^9*T2^8 - 8931*T1^10*T2^8 - 238*T1^11*T2^8 + 459*T1^12*T2^8 + 
      31*T1^3*T2^9 - 1190*T1^4*T2^9 + 5389*T1^5*T2^9 - 6312*T1^6*T2^9 - 
      9132*T1^7*T2^9 + 26720*T1^8*T2^9 - 16374*T1^9*T2^9 + 669*T1^10*T2^9 + 
      2478*T1^11*T2^9 - 653*T1^12*T2^9 + 139*T1^4*T2^10 - 238*T1^5*T2^10 - 
      1933*T1^6*T2^10 + 7549*T1^7*T2^10 - 8931*T1^8*T2^10 + 669*T1^9*T2^10 + 
      4147*T1^10*T2^10 - 2478*T1^11*T2^10 + 459*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 966*T1^7*T2^11 - 238*T1^8*T2^11 + 
      2478*T1^9*T2^11 - 2478*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 459*T1^8*T2^12 - 
      653*T1^9*T2^12 + 459*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 222] -> 
  {(1 - 8*T + 29*T^2 - 62*T^3 + 81*T^4 - 62*T^5 + 29*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 248*T1^3 - 324*T1^4 + 248*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1288*T1^3*T2 + 
     1104*T1^4*T2 - 40*T1^5*T2 - 560*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1887*T1^2*T2^2 + 2091*T1^3*T2^2 + 
     827*T1^4*T2^2 - 4771*T1^5*T2^2 + 3843*T1^6*T2^2 - 1041*T1^7*T2^2 - 
     263*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 248*T2^3 - 
     1288*T1*T2^3 + 2091*T1^2*T2^3 + 1164*T1^3*T2^3 - 10163*T1^4*T2^3 + 
     14085*T1^5*T2^3 - 2165*T1^6*T2^3 - 5605*T1^7*T2^3 + 4298*T1^8*T2^3 - 
     1215*T1^9*T2^3 - 32*T1^10*T2^3 + 62*T1^11*T2^3 - 324*T2^4 + 
     1104*T1*T2^4 + 827*T1^2*T2^4 - 10163*T1^3*T2^4 + 21335*T1^4*T2^4 - 
     10342*T1^5*T2^4 - 23215*T1^6*T2^4 + 23746*T1^7*T2^4 - 6313*T1^8*T2^4 - 
     2475*T1^9*T2^4 + 2287*T1^10*T2^4 - 496*T1^11*T2^4 + 248*T2^5 - 
     40*T1*T2^5 - 4771*T1^2*T2^5 + 14085*T1^3*T2^5 - 10342*T1^4*T2^5 - 
     29930*T1^5*T2^5 + 67895*T1^6*T2^5 - 23785*T1^7*T2^5 - 19798*T1^8*T2^5 + 
     20494*T1^9*T2^5 - 6889*T1^10*T2^5 - 7*T1^11*T2^5 + 496*T1^12*T2^5 - 
     62*T1^13*T2^5 - 116*T2^6 - 560*T1*T2^6 + 3843*T1^2*T2^6 - 
     2165*T1^3*T2^6 - 23215*T1^4*T2^6 + 67895*T1^5*T2^6 - 55651*T1^6*T2^6 - 
     52393*T1^7*T2^6 + 86381*T1^8*T2^6 - 37865*T1^9*T2^6 - 585*T1^10*T2^6 + 
     6999*T1^11*T2^6 - 2285*T1^12*T2^6 + 32*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 1041*T1^2*T2^7 - 5605*T1^3*T2^7 + 
     23746*T1^4*T2^7 - 23785*T1^5*T2^7 - 52393*T1^6*T2^7 + 158188*T1^7*T2^7 - 
     111520*T1^8*T2^7 - 4001*T1^9*T2^7 + 39735*T1^10*T2^7 - 
     20098*T1^11*T2^7 + 2357*T1^12*T2^7 + 1221*T1^13*T2^7 - 272*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 263*T1^2*T2^8 + 4298*T1^3*T2^8 - 
     6313*T1^4*T2^8 - 19798*T1^5*T2^8 + 86381*T1^6*T2^8 - 111520*T1^7*T2^8 - 
     6756*T1^8*T2^8 + 117288*T1^9*T2^8 - 83227*T1^10*T2^8 + 
     17506*T1^11*T2^8 + 6579*T1^12*T2^8 - 4286*T1^13*T2^8 + 261*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 
     1215*T1^3*T2^9 - 2475*T1^4*T2^9 + 20494*T1^5*T2^9 - 37865*T1^6*T2^9 - 
     4001*T1^7*T2^9 + 117288*T1^8*T2^9 - 152420*T1^9*T2^9 + 
     44391*T1^10*T2^9 + 25655*T1^11*T2^9 - 23350*T1^12*T2^9 + 
     5487*T1^13*T2^9 + 1047*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 
     58*T1^2*T2^10 - 32*T1^3*T2^10 + 2287*T1^4*T2^10 - 6889*T1^5*T2^10 - 
     585*T1^6*T2^10 + 39735*T1^7*T2^10 - 83227*T1^8*T2^10 + 
     44391*T1^9*T2^10 + 58805*T1^10*T2^10 - 66025*T1^11*T2^10 + 
     22045*T1^12*T2^10 + 2275*T1^13*T2^10 - 3841*T1^14*T2^10 + 
     560*T1^15*T2^10 + 116*T1^16*T2^10 + 62*T1^3*T2^11 - 496*T1^4*T2^11 - 
     7*T1^5*T2^11 + 6999*T1^6*T2^11 - 20098*T1^7*T2^11 + 17506*T1^8*T2^11 + 
     25655*T1^9*T2^11 - 66025*T1^10*T2^11 + 27638*T1^11*T2^11 + 
     10738*T1^12*T2^11 - 13975*T1^13*T2^11 + 4757*T1^14*T2^11 + 
     40*T1^15*T2^11 - 248*T1^16*T2^11 + 496*T1^5*T2^12 - 2285*T1^6*T2^12 + 
     2357*T1^7*T2^12 + 6579*T1^8*T2^12 - 23350*T1^9*T2^12 + 
     22045*T1^10*T2^12 + 10738*T1^11*T2^12 - 21069*T1^12*T2^12 + 
     10045*T1^13*T2^12 - 825*T1^14*T2^12 - 1104*T1^15*T2^12 + 
     324*T1^16*T2^12 - 62*T1^5*T2^13 + 32*T1^6*T2^13 + 1221*T1^7*T2^13 - 
     4286*T1^8*T2^13 + 5487*T1^9*T2^13 + 2275*T1^10*T2^13 - 
     13975*T1^11*T2^13 + 10045*T1^12*T2^13 - 1152*T1^13*T2^13 - 
     2085*T1^14*T2^13 + 1288*T1^15*T2^13 - 248*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 261*T1^8*T2^14 + 1047*T1^9*T2^14 - 3841*T1^10*T2^14 + 
     4757*T1^11*T2^14 - 825*T1^12*T2^14 - 2085*T1^13*T2^14 + 
     1885*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 560*T1^10*T2^15 + 40*T1^11*T2^15 - 
     1104*T1^12*T2^15 + 1288*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 248*T1^11*T2^16 + 324*T1^12*T2^16 - 248*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 223] -> 
  {-((3 - 18*T + 44*T^2 - 59*T^3 + 44*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((-78 + 465*T1 - 1129*T1^2 + 1508*T1^3 - 1129*T1^4 + 465*T1^5 - 78*T1^6 + 
      465*T2 - 2468*T1*T2 + 4926*T1^2*T2 - 4632*T1^3*T2 + 930*T1^4*T2 + 
      1578*T1^5*T2 - 1334*T1^6*T2 + 303*T1^7*T2 - 1129*T2^2 + 4926*T1*T2^2 - 
      5975*T1^2*T2^2 - 2076*T1^3*T2^2 + 13399*T1^4*T2^2 - 12900*T1^5*T2^2 + 
      4849*T1^6*T2^2 + 174*T1^7*T2^2 - 337*T1^8*T2^2 + 1508*T2^3 - 
      4632*T1*T2^3 - 2076*T1^2*T2^3 + 21889*T1^3*T2^3 - 33306*T1^4*T2^3 + 
      15348*T1^5*T2^3 + 5707*T1^6*T2^3 - 8808*T1^7*T2^3 + 2550*T1^8*T2^3 - 
      85*T1^9*T2^3 - 1129*T2^4 + 930*T1*T2^4 + 13399*T1^2*T2^4 - 
      33306*T1^3*T2^4 + 24034*T1^4*T2^4 + 19814*T1^5*T2^4 - 41402*T1^6*T2^4 + 
      22626*T1^7*T2^4 - 1601*T1^8*T2^4 - 2202*T1^9*T2^4 + 455*T1^10*T2^4 + 
      465*T2^5 + 1578*T1*T2^5 - 12900*T1^2*T2^5 + 15348*T1^3*T2^5 + 
      19814*T1^4*T2^5 - 66660*T1^5*T2^5 + 59086*T1^6*T2^5 - 5706*T1^7*T2^5 - 
      18750*T1^8*T2^5 + 10200*T1^9*T2^5 - 690*T1^10*T2^5 - 345*T1^11*T2^5 - 
      78*T2^6 - 1334*T1*T2^6 + 4849*T1^2*T2^6 + 5707*T1^3*T2^6 - 
      41402*T1^4*T2^6 + 59086*T1^5*T2^6 - 15552*T1^6*T2^6 - 47502*T1^7*T2^6 + 
      43262*T1^8*T2^6 - 10151*T1^9*T2^6 - 4487*T1^10*T2^6 + 1582*T1^11*T2^6 + 
      84*T1^12*T2^6 + 303*T1*T2^7 + 174*T1^2*T2^7 - 8808*T1^3*T2^7 + 
      22626*T1^4*T2^7 - 5706*T1^5*T2^7 - 47502*T1^6*T2^7 + 78244*T1^7*T2^7 - 
      31226*T1^8*T2^7 - 11472*T1^9*T2^7 + 14292*T1^10*T2^7 - 
      2094*T1^11*T2^7 - 507*T1^12*T2^7 - 337*T1^2*T2^8 + 2550*T1^3*T2^8 - 
      1601*T1^4*T2^8 - 18750*T1^5*T2^8 + 43262*T1^6*T2^8 - 31226*T1^7*T2^8 - 
      22174*T1^8*T2^8 + 37182*T1^9*T2^8 - 16601*T1^10*T2^8 - 582*T1^11*T2^8 + 
      1247*T1^12*T2^8 - 85*T1^3*T2^9 - 2202*T1^4*T2^9 + 10200*T1^5*T2^9 - 
      10151*T1^6*T2^9 - 11472*T1^7*T2^9 + 37182*T1^8*T2^9 - 26333*T1^9*T2^9 + 
      3468*T1^10*T2^9 + 4980*T1^11*T2^9 - 1678*T1^12*T2^9 + 455*T1^4*T2^10 - 
      690*T1^5*T2^10 - 4487*T1^6*T2^10 + 14292*T1^7*T2^10 - 
      16601*T1^8*T2^10 + 3468*T1^9*T2^10 + 6337*T1^10*T2^10 - 
      5442*T1^11*T2^10 + 1247*T1^12*T2^10 - 345*T1^5*T2^11 + 
      1582*T1^6*T2^11 - 2094*T1^7*T2^11 - 582*T1^8*T2^11 + 4980*T1^9*T2^11 - 
      5442*T1^10*T2^11 + 2716*T1^11*T2^11 - 507*T1^12*T2^11 + 84*T1^6*T2^12 - 
      507*T1^7*T2^12 + 1247*T1^8*T2^12 - 1678*T1^9*T2^12 + 1247*T1^10*T2^12 - 
      507*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 224] -> 
  {-(((1 - 5*T + 9*T^2 - 5*T^3 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 40*T1 - 135*T1^2 + 250*T1^3 - 295*T1^4 + 250*T1^5 - 135*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 1136*T1^3*T2 + 
      760*T1^4*T2 - 112*T1^5*T2 - 520*T1^6*T2 + 544*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1677*T1^2*T2^2 + 480*T1^3*T2^2 + 
      2667*T1^4*T2^2 - 4335*T1^5*T2^2 + 4395*T1^6*T2^2 - 1788*T1^7*T2^2 - 
      273*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 250*T2^3 - 
      1136*T1*T2^3 + 480*T1^2*T2^3 + 5770*T1^3*T2^3 - 11822*T1^4*T2^3 + 
      8845*T1^5*T2^3 - 3149*T1^6*T2^3 - 5240*T1^7*T2^3 + 5860*T1^8*T2^3 - 
      1626*T1^9*T2^3 - 152*T1^10*T2^3 + 100*T1^11*T2^3 - 295*T2^4 + 
      760*T1*T2^4 + 2667*T1^2*T2^4 - 11822*T1^3*T2^4 + 10029*T1^4*T2^4 + 
      8582*T1^5*T2^4 - 19057*T1^6*T2^4 + 24270*T1^7*T2^4 - 9883*T1^8*T2^4 - 
      2822*T1^9*T2^4 + 2639*T1^10*T2^4 - 328*T1^11*T2^4 - 59*T1^12*T2^4 + 
      250*T2^5 - 112*T1*T2^5 - 4335*T1^2*T2^5 + 8845*T1^3*T2^5 + 
      8582*T1^4*T2^5 - 35174*T1^5*T2^5 + 30158*T1^6*T2^5 - 16710*T1^7*T2^5 - 
      13346*T1^8*T2^5 + 18798*T1^9*T2^5 - 4737*T1^10*T2^5 - 1107*T1^11*T2^5 + 
      472*T1^12*T2^5 - 135*T2^6 - 520*T1*T2^6 + 4395*T1^2*T2^6 - 
      3149*T1^3*T2^6 - 19057*T1^4*T2^6 + 30158*T1^5*T2^6 + 2061*T1^6*T2^6 - 
      23761*T1^7*T2^6 + 41025*T1^8*T2^6 - 18954*T1^9*T2^6 - 6663*T1^10*T2^6 + 
      6463*T1^11*T2^6 - 845*T1^12*T2^6 - 216*T1^13*T2^6 + 27*T1^14*T2^6 + 
      40*T2^7 + 544*T1*T2^7 - 1788*T1^2*T2^7 - 5240*T1^3*T2^7 + 
      24270*T1^4*T2^7 - 16710*T1^5*T2^7 - 23761*T1^6*T2^7 + 28660*T1^7*T2^7 - 
      18336*T1^8*T2^7 - 14393*T1^9*T2^7 + 25670*T1^10*T2^7 - 
      7834*T1^11*T2^7 - 2150*T1^12*T2^7 + 1290*T1^13*T2^7 - 88*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 273*T1^2*T2^8 + 5860*T1^3*T2^8 - 
      9883*T1^4*T2^8 - 13346*T1^5*T2^8 + 41025*T1^6*T2^8 - 18336*T1^7*T2^8 - 
      10068*T1^8*T2^8 + 29112*T1^9*T2^8 - 18831*T1^10*T2^8 - 
      6890*T1^11*T2^8 + 10121*T1^12*T2^8 - 2500*T1^13*T2^8 - 213*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 
      1626*T1^3*T2^9 - 2822*T1^4*T2^9 + 18798*T1^5*T2^9 - 18954*T1^6*T2^9 - 
      14393*T1^7*T2^9 + 29112*T1^8*T2^9 - 17884*T1^9*T2^9 - 5025*T1^10*T2^9 + 
      23426*T1^11*T2^9 - 13306*T1^12*T2^9 + 268*T1^13*T2^9 + 
      1452*T1^14*T2^9 - 240*T1^15*T2^9 - 24*T1^16*T2^9 - 81*T1^2*T2^10 - 
      152*T1^3*T2^10 + 2639*T1^4*T2^10 - 4737*T1^5*T2^10 - 6663*T1^6*T2^10 + 
      25670*T1^7*T2^10 - 18831*T1^8*T2^10 - 5025*T1^9*T2^10 + 
      20133*T1^10*T2^10 - 23442*T1^11*T2^10 + 5731*T1^12*T2^10 + 
      4875*T1^13*T2^10 - 2601*T1^14*T2^10 + 152*T1^15*T2^10 + 
      81*T1^16*T2^10 + 100*T1^3*T2^11 - 328*T1^4*T2^11 - 1107*T1^5*T2^11 + 
      6463*T1^6*T2^11 - 7834*T1^7*T2^11 - 6890*T1^8*T2^11 + 
      23426*T1^9*T2^11 - 23442*T1^10*T2^11 + 14938*T1^11*T2^11 + 
      2382*T1^12*T2^11 - 7119*T1^13*T2^11 + 2121*T1^14*T2^11 + 
      256*T1^15*T2^11 - 150*T1^16*T2^11 - 59*T1^4*T2^12 + 472*T1^5*T2^12 - 
      845*T1^6*T2^12 - 2150*T1^7*T2^12 + 10121*T1^8*T2^12 - 
      13306*T1^9*T2^12 + 5731*T1^10*T2^12 + 2382*T1^11*T2^12 - 
      9791*T1^12*T2^12 + 6850*T1^13*T2^12 - 873*T1^14*T2^12 - 
      616*T1^15*T2^12 + 177*T1^16*T2^12 - 216*T1^6*T2^13 + 1290*T1^7*T2^13 - 
      2500*T1^8*T2^13 + 268*T1^9*T2^13 + 4875*T1^10*T2^13 - 
      7119*T1^11*T2^13 + 6850*T1^12*T2^13 - 2410*T1^13*T2^13 - 
      816*T1^14*T2^13 + 768*T1^15*T2^13 - 150*T1^16*T2^13 + 27*T1^6*T2^14 - 
      88*T1^7*T2^14 - 213*T1^8*T2^14 + 1452*T1^9*T2^14 - 2601*T1^10*T2^14 + 
      2121*T1^11*T2^14 - 873*T1^12*T2^14 - 816*T1^13*T2^14 + 
      1191*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 152*T1^10*T2^15 + 256*T1^11*T2^15 - 
      616*T1^12*T2^15 + 768*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      150*T1^11*T2^16 + 177*T1^12*T2^16 - 150*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 225] -> 
  {-((1 - 7*T + 24*T^2 - 50*T^3 + 63*T^4 - 50*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 72*T1^2 + 150*T1^3 - 189*T1^4 + 150*T1^5 - 
      72*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 406*T1^2*T2 - 
      714*T1^3*T2 + 623*T1^4*T2 - 168*T1^5*T2 - 196*T1^6*T2 + 189*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 72*T2^2 + 406*T1*T2^2 - 1067*T1^2*T2^2 + 
      1421*T1^3*T2^2 - 231*T1^4*T2^2 - 1345*T1^5*T2^2 + 1641*T1^6*T2^2 - 
      643*T1^7*T2^2 + 37*T1^8*T2^2 + 70*T1^9*T2^2 - 24*T1^10*T2^2 + 
      150*T2^3 - 714*T1*T2^3 + 1421*T1^2*T2^3 - 632*T1^3*T2^3 - 
      3248*T1^4*T2^3 + 5218*T1^5*T2^3 - 2666*T1^6*T2^3 - 1316*T1^7*T2^3 + 
      1810*T1^8*T2^3 - 835*T1^9*T2^3 + 168*T1^10*T2^3 - 189*T2^4 + 
      623*T1*T2^4 - 231*T1^2*T2^4 - 3248*T1^3*T2^4 + 9161*T1^4*T2^4 - 
      6294*T1^5*T2^4 - 4109*T1^6*T2^4 + 10170*T1^7*T2^4 - 5315*T1^8*T2^4 + 
      252*T1^9*T2^4 + 917*T1^10*T2^4 - 441*T1^11*T2^4 + 63*T1^12*T2^4 + 
      150*T2^5 - 168*T1*T2^5 - 1345*T1^2*T2^5 + 5218*T1^3*T2^5 - 
      6294*T1^4*T2^5 - 8449*T1^5*T2^5 + 24794*T1^6*T2^5 - 20654*T1^7*T2^5 + 
      491*T1^8*T2^5 + 8229*T1^9*T2^5 - 4434*T1^10*T2^5 + 716*T1^11*T2^5 + 
      259*T1^12*T2^5 - 100*T1^13*T2^5 - 72*T2^6 - 196*T1*T2^6 + 
      1641*T1^2*T2^6 - 2666*T1^3*T2^6 - 4109*T1^4*T2^6 + 24794*T1^5*T2^6 - 
      31227*T1^6*T2^6 + 1823*T1^7*T2^6 + 29821*T1^8*T2^6 - 25638*T1^9*T2^6 + 
      4515*T1^10*T2^6 + 2566*T1^11*T2^6 - 1679*T1^12*T2^6 + 196*T1^13*T2^6 + 
      72*T1^14*T2^6 + 21*T2^7 + 189*T1*T2^7 - 643*T1^2*T2^7 - 
      1316*T1^3*T2^7 + 10170*T1^4*T2^7 - 20654*T1^5*T2^7 + 1823*T1^6*T2^7 + 
      49929*T1^7*T2^7 - 65269*T1^8*T2^7 + 24587*T1^9*T2^7 + 
      14826*T1^10*T2^7 - 12117*T1^11*T2^7 + 3024*T1^12*T2^7 + 
      461*T1^13*T2^7 - 308*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      37*T1^2*T2^8 + 1810*T1^3*T2^8 - 5315*T1^4*T2^8 + 491*T1^5*T2^8 + 
      29821*T1^6*T2^8 - 65269*T1^7*T2^8 + 30420*T1^8*T2^8 + 37365*T1^9*T2^8 - 
      56839*T1^10*T2^8 + 18413*T1^11*T2^8 + 785*T1^12*T2^8 - 
      2662*T1^13*T2^8 + 475*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 70*T1^2*T2^9 - 835*T1^3*T2^9 + 252*T1^4*T2^9 + 
      8229*T1^5*T2^9 - 25638*T1^6*T2^9 + 24587*T1^7*T2^9 + 37365*T1^8*T2^9 - 
      77833*T1^9*T2^9 + 47351*T1^10*T2^9 + 9842*T1^11*T2^9 - 
      14058*T1^12*T2^9 + 4592*T1^13*T2^9 + 269*T1^14*T2^9 - 427*T1^15*T2^9 - 
      35*T1^16*T2^9 - 24*T1^2*T2^10 + 168*T1^3*T2^10 + 917*T1^4*T2^10 - 
      4434*T1^5*T2^10 + 4515*T1^6*T2^10 + 14826*T1^7*T2^10 - 
      56839*T1^8*T2^10 + 47351*T1^9*T2^10 + 4209*T1^10*T2^10 - 
      35606*T1^11*T2^10 + 13139*T1^12*T2^10 + 798*T1^13*T2^10 - 
      2403*T1^14*T2^10 + 560*T1^15*T2^10 + 120*T1^16*T2^10 - 441*T1^4*T2^11 + 
      716*T1^5*T2^11 + 2566*T1^6*T2^11 - 12117*T1^7*T2^11 + 
      18413*T1^8*T2^11 + 9842*T1^9*T2^11 - 35606*T1^10*T2^11 + 
      27353*T1^11*T2^11 + 2406*T1^12*T2^11 - 7086*T1^13*T2^11 + 
      2777*T1^14*T2^11 - 14*T1^15*T2^11 - 250*T1^16*T2^11 + 63*T1^4*T2^12 + 
      259*T1^5*T2^12 - 1679*T1^6*T2^12 + 3024*T1^7*T2^12 + 785*T1^8*T2^12 - 
      14058*T1^9*T2^12 + 13139*T1^10*T2^12 + 2406*T1^11*T2^12 - 
      13691*T1^12*T2^12 + 6524*T1^13*T2^12 - 531*T1^14*T2^12 - 
      805*T1^15*T2^12 + 315*T1^16*T2^12 - 100*T1^5*T2^13 + 196*T1^6*T2^13 + 
      461*T1^7*T2^13 - 2662*T1^8*T2^13 + 4592*T1^9*T2^13 + 798*T1^10*T2^13 - 
      7086*T1^11*T2^13 + 6524*T1^12*T2^13 - 220*T1^13*T2^13 - 
      1795*T1^14*T2^13 + 1078*T1^15*T2^13 - 250*T1^16*T2^13 + 72*T1^6*T2^14 - 
      308*T1^7*T2^14 + 475*T1^8*T2^14 + 269*T1^9*T2^14 - 2403*T1^10*T2^14 + 
      2777*T1^11*T2^14 - 531*T1^12*T2^14 - 1795*T1^13*T2^14 + 
      1579*T1^14*T2^14 - 644*T1^15*T2^14 + 120*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 427*T1^9*T2^15 + 560*T1^10*T2^15 - 14*T1^11*T2^15 - 
      805*T1^12*T2^15 + 1078*T1^13*T2^15 - 644*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      120*T1^10*T2^16 - 250*T1^11*T2^16 + 315*T1^12*T2^16 - 250*T1^13*T2^16 + 
      120*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 226] -> 
  {-((4 - 20*T + 41*T^2 - 51*T^3 + 41*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1664*T1 - 3380*T1^2 + 4192*T1^3 - 3380*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6912*T1*T2 + 10144*T1^2*T2 - 7328*T1^3*T2 + 
      32*T1^4*T2 + 5264*T1^5*T2 - 4992*T1^6*T2 + 1344*T1^7*T2 - 3380*T2^2 + 
      10144*T1*T2^2 - 3304*T1^2*T2^2 - 14472*T1^3*T2^2 + 28416*T1^4*T2^2 - 
      24640*T1^5*T2^2 + 8832*T1^6*T2^2 + 3584*T1^7*T2^2 - 2068*T1^8*T2^2 + 
      4192*T2^3 - 7328*T1*T2^3 - 14472*T1^2*T2^3 + 35472*T1^3*T2^3 - 
      33028*T1^4*T2^3 + 5080*T1^5*T2^3 + 19112*T1^6*T2^3 - 19884*T1^7*T2^3 + 
      1632*T1^8*T2^3 + 1744*T1^9*T2^3 - 3380*T2^4 + 32*T1*T2^4 + 
      28416*T1^2*T2^4 - 33028*T1^3*T2^4 + 6871*T1^4*T2^4 + 27713*T1^5*T2^4 - 
      32097*T1^6*T2^4 + 8996*T1^7*T2^4 + 14512*T1^8*T2^4 - 4928*T1^9*T2^4 - 
      756*T1^10*T2^4 + 1664*T2^5 + 5264*T1*T2^5 - 24640*T1^2*T2^5 + 
      5080*T1^3*T2^5 + 27713*T1^4*T2^5 - 39497*T1^5*T2^5 + 12415*T1^6*T2^5 + 
      19062*T1^7*T2^5 - 25196*T1^8*T2^5 - 204*T1^9*T2^5 + 3424*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4992*T1*T2^6 + 8832*T1^2*T2^6 + 
      19112*T1^3*T2^6 - 32097*T1^4*T2^6 + 12415*T1^5*T2^6 + 23940*T1^6*T2^6 - 
      34527*T1^7*T2^6 + 14633*T1^8*T2^6 + 12576*T1^9*T2^6 - 5784*T1^10*T2^6 - 
      512*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 3584*T1^2*T2^7 - 
      19884*T1^3*T2^7 + 8996*T1^4*T2^7 + 19062*T1^5*T2^7 - 34527*T1^6*T2^7 + 
      17385*T1^7*T2^7 + 10411*T1^8*T2^7 - 21280*T1^9*T2^7 + 4552*T1^10*T2^7 + 
      1744*T1^11*T2^7 - 256*T1^12*T2^7 - 2068*T1^2*T2^8 + 1632*T1^3*T2^8 + 
      14512*T1^4*T2^8 - 25196*T1^5*T2^8 + 14633*T1^6*T2^8 + 10411*T1^7*T2^8 - 
      24335*T1^8*T2^8 + 16828*T1^9*T2^8 + 608*T1^10*T2^8 - 3328*T1^11*T2^8 + 
      556*T1^12*T2^8 + 1744*T1^3*T2^9 - 4928*T1^4*T2^9 - 204*T1^5*T2^9 + 
      12576*T1^6*T2^9 - 21280*T1^7*T2^9 + 16828*T1^8*T2^9 - 3784*T1^9*T2^9 - 
      5616*T1^10*T2^9 + 4032*T1^11*T2^9 - 704*T1^12*T2^9 - 756*T1^4*T2^10 + 
      3424*T1^5*T2^10 - 5784*T1^6*T2^10 + 4552*T1^7*T2^10 + 608*T1^8*T2^10 - 
      5616*T1^9*T2^10 + 6352*T1^10*T2^10 - 3136*T1^11*T2^10 + 
      556*T1^12*T2^10 + 64*T1^5*T2^11 - 512*T1^6*T2^11 + 1744*T1^7*T2^11 - 
      3328*T1^8*T2^11 + 4032*T1^9*T2^11 - 3136*T1^10*T2^11 + 
      1408*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      556*T1^8*T2^12 - 704*T1^9*T2^12 + 556*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 227] -> 
  {-((5 - 26*T + 56*T^2 - 71*T^3 + 56*T^4 - 26*T^5 + 5*T^6)/T^3), 
   -((-645 + 3325*T1 - 7105*T1^2 + 8987*T1^3 - 7105*T1^4 + 3325*T1^5 - 
      645*T1^6 + 3325*T2 - 14494*T1*T2 + 22953*T1^2*T2 - 17034*T1^3*T2 - 
      524*T1^4*T2 + 12293*T1^5*T2 - 10464*T1^6*T2 + 2675*T1^7*T2 - 
      7105*T2^2 + 22953*T1*T2^2 - 11861*T1^2*T2^2 - 30562*T1^3*T2^2 + 
      66819*T1^4*T2^2 - 55762*T1^5*T2^2 + 16699*T1^6*T2^2 + 8393*T1^7*T2^2 - 
      4305*T1^8*T2^2 + 8987*T2^3 - 17034*T1*T2^3 - 30562*T1^2*T2^3 + 
      90073*T1^3*T2^3 - 87917*T1^4*T2^3 + 9665*T1^5*T2^3 + 51621*T1^6*T2^3 - 
      45066*T1^7*T2^3 + 3376*T1^8*T2^3 + 3662*T1^9*T2^3 - 7105*T2^4 - 
      524*T1*T2^4 + 66819*T1^2*T2^4 - 87917*T1^3*T2^4 + 12768*T1^4*T2^4 + 
      92982*T1^5*T2^4 - 96252*T1^6*T2^4 + 20855*T1^7*T2^4 + 33547*T1^8*T2^4 - 
      11184*T1^9*T2^4 - 1505*T1^10*T2^4 + 3325*T2^5 + 12293*T1*T2^5 - 
      55762*T1^2*T2^5 + 9665*T1^3*T2^5 + 92982*T1^4*T2^5 - 131462*T1^5*T2^5 + 
      35464*T1^6*T2^5 + 62518*T1^7*T2^5 - 65537*T1^8*T2^5 + 1526*T1^9*T2^5 + 
      7353*T1^10*T2^5 + 75*T1^11*T2^5 - 645*T2^6 - 10464*T1*T2^6 + 
      16699*T1^2*T2^6 + 51621*T1^3*T2^6 - 96252*T1^4*T2^6 + 35464*T1^5*T2^6 + 
      86424*T1^6*T2^6 - 112772*T1^7*T2^6 + 40036*T1^8*T2^6 + 
      29323*T1^9*T2^6 - 13845*T1^10*T2^6 - 844*T1^11*T2^6 + 105*T1^12*T2^6 + 
      2675*T1*T2^7 + 8393*T1^2*T2^7 - 45066*T1^3*T2^7 + 20855*T1^4*T2^7 + 
      62518*T1^5*T2^7 - 112772*T1^6*T2^7 + 54154*T1^7*T2^7 + 
      32054*T1^8*T2^7 - 54347*T1^9*T2^7 + 12222*T1^10*T2^7 + 
      3453*T1^11*T2^7 - 575*T1^12*T2^7 - 4305*T1^2*T2^8 + 3376*T1^3*T2^8 + 
      33547*T1^4*T2^8 - 65537*T1^5*T2^8 + 40036*T1^6*T2^8 + 32054*T1^7*T2^8 - 
      68984*T1^8*T2^8 + 43235*T1^9*T2^8 + 275*T1^10*T2^8 - 7284*T1^11*T2^8 + 
      1295*T1^12*T2^8 + 3662*T1^3*T2^9 - 11184*T1^4*T2^9 + 1526*T1^5*T2^9 + 
      29323*T1^6*T2^9 - 54347*T1^7*T2^9 + 43235*T1^8*T2^9 - 9129*T1^9*T2^9 - 
      12978*T1^10*T2^9 + 9226*T1^11*T2^9 - 1663*T1^12*T2^9 - 
      1505*T1^4*T2^10 + 7353*T1^5*T2^10 - 13845*T1^6*T2^10 + 
      12222*T1^7*T2^10 + 275*T1^8*T2^10 - 12978*T1^9*T2^10 + 
      14715*T1^10*T2^10 - 7207*T1^11*T2^10 + 1295*T1^12*T2^10 + 
      75*T1^5*T2^11 - 844*T1^6*T2^11 + 3453*T1^7*T2^11 - 7284*T1^8*T2^11 + 
      9226*T1^9*T2^11 - 7207*T1^10*T2^11 + 3186*T1^11*T2^11 - 
      575*T1^12*T2^11 + 105*T1^6*T2^12 - 575*T1^7*T2^12 + 1295*T1^8*T2^12 - 
      1663*T1^9*T2^12 + 1295*T1^10*T2^12 - 575*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 228] -> 
  {-((1 - 7*T + 24*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 72*T1^2 + 147*T1^3 - 183*T1^4 + 147*T1^5 - 
      72*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 406*T1^2*T2 - 
      693*T1^3*T2 + 595*T1^4*T2 - 175*T1^5*T2 - 182*T1^6*T2 + 189*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 72*T2^2 + 406*T1*T2^2 - 1069*T1^2*T2^2 + 
      1360*T1^3*T2^2 - 207*T1^4*T2^2 - 1215*T1^5*T2^2 + 1569*T1^6*T2^2 - 
      656*T1^7*T2^2 + 35*T1^8*T2^2 + 70*T1^9*T2^2 - 24*T1^10*T2^2 + 
      147*T2^3 - 693*T1*T2^3 + 1360*T1^2*T2^3 - 379*T1^3*T2^3 - 
      3349*T1^4*T2^3 + 4973*T1^5*T2^3 - 2776*T1^6*T2^3 - 1081*T1^7*T2^3 + 
      1763*T1^8*T2^3 - 824*T1^9*T2^3 + 168*T1^10*T2^3 - 183*T2^4 + 
      595*T1*T2^4 - 207*T1^2*T2^4 - 3349*T1^3*T2^4 + 8544*T1^4*T2^4 - 
      5027*T1^5*T2^4 - 4182*T1^6*T2^4 + 10107*T1^7*T2^4 - 5628*T1^8*T2^4 + 
      473*T1^9*T2^4 + 847*T1^10*T2^4 - 427*T1^11*T2^4 + 61*T1^12*T2^4 + 
      147*T2^5 - 175*T1*T2^5 - 1215*T1^2*T2^5 + 4973*T1^3*T2^5 - 
      5027*T1^4*T2^5 - 9862*T1^5*T2^5 + 23417*T1^6*T2^5 - 20025*T1^7*T2^5 + 
      1128*T1^8*T2^5 + 7622*T1^9*T2^5 - 4358*T1^10*T2^5 + 696*T1^11*T2^5 + 
      259*T1^12*T2^5 - 98*T1^13*T2^5 - 72*T2^6 - 182*T1*T2^6 + 
      1569*T1^2*T2^6 - 2776*T1^3*T2^6 - 4182*T1^4*T2^6 + 23417*T1^5*T2^6 - 
      25759*T1^6*T2^6 + 179*T1^7*T2^6 + 28265*T1^8*T2^6 - 24295*T1^9*T2^6 + 
      4718*T1^10*T2^6 + 2600*T1^11*T2^6 - 1651*T1^12*T2^6 + 182*T1^13*T2^6 + 
      72*T1^14*T2^6 + 21*T2^7 + 189*T1*T2^7 - 656*T1^2*T2^7 - 
      1081*T1^3*T2^7 + 10107*T1^4*T2^7 - 20025*T1^5*T2^7 + 179*T1^6*T2^7 + 
      42130*T1^7*T2^7 - 54764*T1^8*T2^7 + 19296*T1^9*T2^7 + 
      14877*T1^10*T2^7 - 12482*T1^11*T2^7 + 2867*T1^12*T2^7 + 
      520*T1^13*T2^7 - 308*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      35*T1^2*T2^8 + 1763*T1^3*T2^8 - 5628*T1^4*T2^8 + 1128*T1^5*T2^8 + 
      28265*T1^6*T2^8 - 54764*T1^7*T2^8 + 24108*T1^8*T2^8 + 32848*T1^9*T2^8 - 
      49393*T1^10*T2^8 + 16220*T1^11*T2^8 + 2136*T1^12*T2^8 - 
      2899*T1^13*T2^8 + 473*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 70*T1^2*T2^9 - 824*T1^3*T2^9 + 473*T1^4*T2^9 + 
      7622*T1^5*T2^9 - 24295*T1^6*T2^9 + 19296*T1^7*T2^9 + 32848*T1^8*T2^9 - 
      64046*T1^9*T2^9 + 38413*T1^10*T2^9 + 10607*T1^11*T2^9 - 
      14967*T1^12*T2^9 + 4421*T1^13*T2^9 + 352*T1^14*T2^9 - 427*T1^15*T2^9 - 
      35*T1^16*T2^9 - 24*T1^2*T2^10 + 168*T1^3*T2^10 + 847*T1^4*T2^10 - 
      4358*T1^5*T2^10 + 4718*T1^6*T2^10 + 14877*T1^7*T2^10 - 
      49393*T1^8*T2^10 + 38413*T1^9*T2^10 + 4631*T1^10*T2^10 - 
      32835*T1^11*T2^10 + 13618*T1^12*T2^10 + 1018*T1^13*T2^10 - 
      2373*T1^14*T2^10 + 532*T1^15*T2^10 + 120*T1^16*T2^10 - 427*T1^4*T2^11 + 
      696*T1^5*T2^11 + 2600*T1^6*T2^11 - 12482*T1^7*T2^11 + 
      16220*T1^8*T2^11 + 10607*T1^9*T2^11 - 32835*T1^10*T2^11 + 
      27210*T1^11*T2^11 + 167*T1^12*T2^11 - 6731*T1^13*T2^11 + 
      2607*T1^14*T2^11 + 7*T1^15*T2^11 - 245*T1^16*T2^11 + 61*T1^4*T2^12 + 
      259*T1^5*T2^12 - 1651*T1^6*T2^12 + 2867*T1^7*T2^12 + 2136*T1^8*T2^12 - 
      14967*T1^9*T2^12 + 13618*T1^10*T2^12 + 167*T1^11*T2^12 - 
      12036*T1^12*T2^12 + 6689*T1^13*T2^12 - 597*T1^14*T2^12 - 
      763*T1^15*T2^12 + 305*T1^16*T2^12 - 98*T1^5*T2^13 + 182*T1^6*T2^13 + 
      520*T1^7*T2^13 - 2899*T1^8*T2^13 + 4421*T1^9*T2^13 + 1018*T1^10*T2^13 - 
      6731*T1^11*T2^13 + 6689*T1^12*T2^13 - 757*T1^13*T2^13 - 
      1664*T1^14*T2^13 + 1043*T1^15*T2^13 - 245*T1^16*T2^13 + 72*T1^6*T2^14 - 
      308*T1^7*T2^14 + 473*T1^8*T2^14 + 352*T1^9*T2^14 - 2373*T1^10*T2^14 + 
      2607*T1^11*T2^14 - 597*T1^12*T2^14 - 1664*T1^13*T2^14 + 
      1577*T1^14*T2^14 - 644*T1^15*T2^14 + 120*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 427*T1^9*T2^15 + 532*T1^10*T2^15 + 7*T1^11*T2^15 - 
      763*T1^12*T2^15 + 1043*T1^13*T2^15 - 644*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      120*T1^10*T2^16 - 245*T1^11*T2^16 + 305*T1^12*T2^16 - 245*T1^13*T2^16 + 
      120*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 229] -> 
  {-((2 - 16*T + 48*T^2 - 69*T^3 + 48*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-25 + 199*T1 - 595*T1^2 + 855*T1^3 - 595*T1^4 + 199*T1^5 - 25*T1^6 + 
      199*T2 - 1450*T1*T2 + 3668*T1^2*T2 - 3608*T1^3*T2 + 136*T1^4*T2 + 
      1620*T1^5*T2 - 874*T1^6*T2 + 135*T1^7*T2 - 595*T2^2 + 3668*T1*T2^2 - 
      5870*T1^2*T2^2 - 3400*T1^3*T2^2 + 17402*T1^4*T2^2 - 13576*T1^5*T2^2 + 
      2962*T1^6*T2^2 + 596*T1^7*T2^2 - 211*T1^8*T2^2 + 855*T2^3 - 
      3608*T1*T2^3 - 3400*T1^2*T2^3 + 33520*T1^3*T2^3 - 49752*T1^4*T2^3 + 
      13608*T1^5*T2^3 + 13762*T1^6*T2^3 - 9448*T1^7*T2^3 + 1480*T1^8*T2^3 + 
      27*T1^9*T2^3 - 595*T2^4 + 136*T1*T2^4 + 17402*T1^2*T2^4 - 
      49752*T1^3*T2^4 + 27954*T1^4*T2^4 + 56958*T1^5*T2^4 - 71406*T1^6*T2^4 + 
      25320*T1^7*T2^4 + 506*T1^8*T2^4 - 1592*T1^9*T2^4 + 173*T1^10*T2^4 + 
      199*T2^5 + 1620*T1*T2^5 - 13576*T1^2*T2^5 + 13608*T1^3*T2^5 + 
      56958*T1^4*T2^5 - 144634*T1^5*T2^5 + 98294*T1^6*T2^5 + 894*T1^7*T2^5 - 
      26328*T1^8*T2^5 + 8984*T1^9*T2^5 - 428*T1^10*T2^5 - 121*T1^11*T2^5 - 
      25*T2^6 - 874*T1*T2^6 + 2962*T1^2*T2^6 + 13762*T1^3*T2^6 - 
      71406*T1^4*T2^6 + 98294*T1^5*T2^6 + 528*T1^6*T2^6 - 99210*T1^7*T2^6 + 
      71058*T1^8*T2^6 - 12470*T1^9*T2^6 - 3054*T1^10*T2^6 + 790*T1^11*T2^6 + 
      23*T1^12*T2^6 + 135*T1*T2^7 + 596*T1^2*T2^7 - 9448*T1^3*T2^7 + 
      25320*T1^4*T2^7 + 894*T1^5*T2^7 - 99210*T1^6*T2^7 + 143718*T1^7*T2^7 - 
      55170*T1^8*T2^7 - 14616*T1^9*T2^7 + 13112*T1^10*T2^7 - 
      1452*T1^11*T2^7 - 185*T1^12*T2^7 - 211*T1^2*T2^8 + 1480*T1^3*T2^8 + 
      506*T1^4*T2^8 - 26328*T1^5*T2^8 + 71058*T1^6*T2^8 - 55170*T1^7*T2^8 - 
      28302*T1^8*T2^8 + 48744*T1^9*T2^8 - 16390*T1^10*T2^8 - 248*T1^11*T2^8 + 
      557*T1^12*T2^8 + 27*T1^3*T2^9 - 1592*T1^4*T2^9 + 8984*T1^5*T2^9 - 
      12470*T1^6*T2^9 - 14616*T1^7*T2^9 + 48744*T1^8*T2^9 - 32228*T1^9*T2^9 + 
      2936*T1^10*T2^9 + 3496*T1^11*T2^9 - 801*T1^12*T2^9 + 173*T1^4*T2^10 - 
      428*T1^5*T2^10 - 3054*T1^6*T2^10 + 13112*T1^7*T2^10 - 
      16390*T1^8*T2^10 + 2936*T1^9*T2^10 + 5778*T1^10*T2^10 - 
      3500*T1^11*T2^10 + 557*T1^12*T2^10 - 121*T1^5*T2^11 + 790*T1^6*T2^11 - 
      1452*T1^7*T2^11 - 248*T1^8*T2^11 + 3496*T1^9*T2^11 - 3500*T1^10*T2^11 + 
      1366*T1^11*T2^11 - 185*T1^12*T2^11 + 23*T1^6*T2^12 - 185*T1^7*T2^12 + 
      557*T1^8*T2^12 - 801*T1^9*T2^12 + 557*T1^10*T2^12 - 185*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 230] -> 
  {(3 - 20*T + 56*T^2 - 77*T^3 + 56*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (-51 + 341*T1 - 957*T1^2 + 1319*T1^3 - 957*T1^4 + 341*T1^5 - 51*T1^6 + 
     341*T2 - 2118*T1*T2 + 5316*T1^2*T2 - 5777*T1^3*T2 + 2203*T1^4*T2 + 
     756*T1^5*T2 - 738*T1^6*T2 + 161*T1^7*T2 - 957*T2^2 + 5316*T1*T2^2 - 
     10682*T1^2*T2^2 + 4212*T1^3*T2^2 + 10762*T1^4*T2^2 - 14940*T1^5*T2^2 + 
     7126*T1^6*T2^2 - 1404*T1^7*T2^2 + 51*T1^8*T2^2 + 1319*T2^3 - 
     5777*T1*T2^3 + 4212*T1^2*T2^3 + 23789*T1^3*T2^3 - 54267*T1^4*T2^3 + 
     42025*T1^5*T2^3 - 5891*T1^6*T2^3 - 8836*T1^7*T2^3 + 4723*T1^8*T2^3 - 
     760*T1^9*T2^3 - 957*T2^4 + 2203*T1*T2^4 + 10762*T1^2*T2^4 - 
     54267*T1^3*T2^4 + 74816*T1^4*T2^4 - 8562*T1^5*T2^4 - 65128*T1^6*T2^4 + 
     57229*T1^7*T2^4 - 13206*T1^8*T2^4 - 1997*T1^9*T2^4 + 1059*T1^10*T2^4 + 
     341*T2^5 + 756*T1*T2^5 - 14940*T1^2*T2^5 + 42025*T1^3*T2^5 - 
     8562*T1^4*T2^5 - 131930*T1^5*T2^5 + 193106*T1^6*T2^5 - 84274*T1^7*T2^5 - 
     23859*T1^8*T2^5 + 22524*T1^9*T2^5 - 3324*T1^10*T2^5 - 559*T1^11*T2^5 - 
     51*T2^6 - 738*T1*T2^6 + 7126*T1^2*T2^6 - 5891*T1^3*T2^6 - 
     65128*T1^4*T2^6 + 193106*T1^5*T2^6 - 132252*T1^6*T2^6 - 
     80678*T1^7*T2^6 + 147112*T1^8*T2^6 - 45889*T1^9*T2^6 - 3034*T1^10*T2^6 + 
     2982*T1^11*T2^6 + 111*T1^12*T2^6 + 161*T1*T2^7 - 1404*T1^2*T2^7 - 
     8836*T1^3*T2^7 + 57229*T1^4*T2^7 - 84274*T1^5*T2^7 - 80678*T1^6*T2^7 + 
     244358*T1^7*T2^7 - 159986*T1^8*T2^7 - 8655*T1^9*T2^7 + 
     28628*T1^10*T2^7 - 5484*T1^11*T2^7 - 739*T1^12*T2^7 + 51*T1^2*T2^8 + 
     4723*T1^3*T2^8 - 13206*T1^4*T2^8 - 23859*T1^5*T2^8 + 147112*T1^6*T2^8 - 
     159986*T1^7*T2^8 + 7168*T1^8*T2^8 + 87637*T1^9*T2^8 - 37174*T1^10*T2^8 + 
     523*T1^11*T2^8 + 2067*T1^12*T2^8 - 760*T1^3*T2^9 - 1997*T1^4*T2^9 + 
     22524*T1^5*T2^9 - 45889*T1^6*T2^9 - 8655*T1^7*T2^9 + 87637*T1^8*T2^9 - 
     75569*T1^9*T2^9 + 9476*T1^10*T2^9 + 8503*T1^11*T2^9 - 2839*T1^12*T2^9 + 
     1059*T1^4*T2^10 - 3324*T1^5*T2^10 - 3034*T1^6*T2^10 + 28628*T1^7*T2^10 - 
     37174*T1^8*T2^10 + 9476*T1^9*T2^10 + 14774*T1^10*T2^10 - 
     10044*T1^11*T2^10 + 2067*T1^12*T2^10 - 559*T1^5*T2^11 + 
     2982*T1^6*T2^11 - 5484*T1^7*T2^11 + 523*T1^8*T2^11 + 8503*T1^9*T2^11 - 
     10044*T1^10*T2^11 + 4362*T1^11*T2^11 - 739*T1^12*T2^11 + 
     111*T1^6*T2^12 - 739*T1^7*T2^12 + 2067*T1^8*T2^12 - 2839*T1^9*T2^12 + 
     2067*T1^10*T2^12 - 739*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 231] -> 
  {-((5 - 24*T + 48*T^2 - 59*T^3 + 48*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((-645 + 3075*T1 - 6107*T1^2 + 7491*T1^3 - 6107*T1^4 + 3075*T1^5 - 
      645*T1^6 + 3075*T2 - 12200*T1*T2 + 17383*T1^2*T2 - 12386*T1^3*T2 + 
      454*T1^4*T2 + 8743*T1^5*T2 - 8720*T1^6*T2 + 2475*T1^7*T2 - 6107*T2^2 + 
      17383*T1*T2^2 - 5520*T1^2*T2^2 - 23097*T1^3*T2^2 + 44476*T1^4*T2^2 - 
      39897*T1^5*T2^2 + 15120*T1^6*T2^2 + 5863*T1^7*T2^2 - 3707*T1^8*T2^2 + 
      7491*T2^3 - 12386*T1*T2^3 - 23097*T1^2*T2^3 + 55187*T1^3*T2^3 - 
      50065*T1^4*T2^3 + 9479*T1^5*T2^3 + 28883*T1^6*T2^3 - 32169*T1^7*T2^3 + 
      3094*T1^8*T2^3 + 3066*T1^9*T2^3 - 6107*T2^4 + 454*T1*T2^4 + 
      44476*T1^2*T2^4 - 50065*T1^3*T2^4 + 8578*T1^4*T2^4 + 40870*T1^5*T2^4 - 
      49262*T1^6*T2^4 + 15071*T1^7*T2^4 + 22588*T1^8*T2^4 - 8426*T1^9*T2^4 - 
      1307*T1^10*T2^4 + 3075*T2^5 + 8743*T1*T2^5 - 39897*T1^2*T2^5 + 
      9479*T1^3*T2^5 + 40870*T1^4*T2^5 - 55072*T1^5*T2^5 + 16520*T1^6*T2^5 + 
      29350*T1^7*T2^5 - 38881*T1^8*T2^5 + 87*T1^9*T2^5 + 5863*T1^10*T2^5 + 
      75*T1^11*T2^5 - 645*T2^6 - 8720*T1*T2^6 + 15120*T1^2*T2^6 + 
      28883*T1^3*T2^6 - 49262*T1^4*T2^6 + 16520*T1^5*T2^6 + 35280*T1^6*T2^6 - 
      49288*T1^7*T2^6 + 20146*T1^8*T2^6 + 20033*T1^9*T2^6 - 9936*T1^10*T2^6 - 
      800*T1^11*T2^6 + 105*T1^12*T2^6 + 2475*T1*T2^7 + 5863*T1^2*T2^7 - 
      32169*T1^3*T2^7 + 15071*T1^4*T2^7 + 29350*T1^5*T2^7 - 49288*T1^6*T2^7 + 
      22304*T1^7*T2^7 + 17830*T1^8*T2^7 - 33289*T1^9*T2^7 + 7815*T1^10*T2^7 + 
      2983*T1^11*T2^7 - 525*T1^12*T2^7 - 3707*T1^2*T2^8 + 3094*T1^3*T2^8 + 
      22588*T1^4*T2^8 - 38881*T1^5*T2^8 + 20146*T1^6*T2^8 + 17830*T1^7*T2^8 - 
      37694*T1^8*T2^8 + 26255*T1^9*T2^8 + 700*T1^10*T2^8 - 5786*T1^11*T2^8 + 
      1093*T1^12*T2^8 + 3066*T1^3*T2^9 - 8426*T1^4*T2^9 + 87*T1^5*T2^9 + 
      20033*T1^6*T2^9 - 33289*T1^7*T2^9 + 26255*T1^8*T2^9 - 6271*T1^9*T2^9 - 
      8985*T1^10*T2^9 + 7054*T1^11*T2^9 - 1359*T1^12*T2^9 - 1307*T1^4*T2^10 + 
      5863*T1^5*T2^10 - 9936*T1^6*T2^10 + 7815*T1^7*T2^10 + 700*T1^8*T2^10 - 
      8985*T1^9*T2^10 + 10704*T1^10*T2^10 - 5657*T1^11*T2^10 + 
      1093*T1^12*T2^10 + 75*T1^5*T2^11 - 800*T1^6*T2^11 + 2983*T1^7*T2^11 - 
      5786*T1^8*T2^11 + 7054*T1^9*T2^11 - 5657*T1^10*T2^11 + 
      2680*T1^11*T2^11 - 525*T1^12*T2^11 + 105*T1^6*T2^12 - 525*T1^7*T2^12 + 
      1093*T1^8*T2^12 - 1359*T1^9*T2^12 + 1093*T1^10*T2^12 - 
      525*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 232] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1664*T1 - 3464*T1^2 + 4360*T1^3 - 3464*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6912*T1*T2 + 10560*T1^2*T2 - 7824*T1^3*T2 - 
      224*T1^4*T2 + 5600*T1^5*T2 - 4992*T1^6*T2 + 1344*T1^7*T2 - 3464*T2^2 + 
      10560*T1*T2^2 - 5078*T1^2*T2^2 - 13044*T1^3*T2^2 + 28892*T1^4*T2^2 - 
      24132*T1^5*T2^2 + 7690*T1^6*T2^2 + 3840*T1^7*T2^2 - 2120*T1^8*T2^2 + 
      4360*T2^3 - 7824*T1*T2^3 - 13044*T1^2*T2^3 + 36652*T1^3*T2^3 - 
      36384*T1^4*T2^3 + 3984*T1^5*T2^3 + 20824*T1^6*T2^3 - 19596*T1^7*T2^3 + 
      1536*T1^8*T2^3 + 1816*T1^9*T2^3 - 3464*T2^4 - 224*T1*T2^4 + 
      28892*T1^2*T2^4 - 36384*T1^3*T2^4 + 8339*T1^4*T2^4 + 34475*T1^5*T2^4 - 
      36085*T1^6*T2^4 + 8560*T1^7*T2^4 + 14716*T1^8*T2^4 - 5184*T1^9*T2^4 - 
      776*T1^10*T2^4 + 1664*T2^5 + 5600*T1*T2^5 - 24132*T1^2*T2^5 + 
      3984*T1^3*T2^5 + 34475*T1^4*T2^5 - 51136*T1^5*T2^5 + 13694*T1^6*T2^5 + 
      23303*T1^7*T2^5 - 27232*T1^8*T2^5 + 564*T1^9*T2^5 + 3520*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4992*T1*T2^6 + 7690*T1^2*T2^6 + 
      20824*T1^3*T2^6 - 36085*T1^4*T2^6 + 13694*T1^5*T2^6 + 34164*T1^6*T2^6 - 
      43850*T1^7*T2^6 + 17211*T1^8*T2^6 + 12376*T1^9*T2^6 - 6166*T1^10*T2^6 - 
      512*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 3840*T1^2*T2^7 - 
      19596*T1^3*T2^7 + 8560*T1^4*T2^7 + 23303*T1^5*T2^7 - 43850*T1^6*T2^7 + 
      20980*T1^7*T2^7 + 12131*T1^8*T2^7 - 22656*T1^9*T2^7 + 5100*T1^10*T2^7 + 
      1760*T1^11*T2^7 - 256*T1^12*T2^7 - 2120*T1^2*T2^8 + 1536*T1^3*T2^8 + 
      14716*T1^4*T2^8 - 27232*T1^5*T2^8 + 17211*T1^6*T2^8 + 12131*T1^7*T2^8 - 
      27213*T1^8*T2^8 + 17712*T1^9*T2^8 + 540*T1^10*T2^8 - 3424*T1^11*T2^8 + 
      568*T1^12*T2^8 + 1816*T1^3*T2^9 - 5184*T1^4*T2^9 + 564*T1^5*T2^9 + 
      12376*T1^6*T2^9 - 22656*T1^7*T2^9 + 17712*T1^8*T2^9 - 3452*T1^9*T2^9 - 
      5988*T1^10*T2^9 + 4176*T1^11*T2^9 - 728*T1^12*T2^9 - 776*T1^4*T2^10 + 
      3520*T1^5*T2^10 - 6166*T1^6*T2^10 + 5100*T1^7*T2^10 + 540*T1^8*T2^10 - 
      5988*T1^9*T2^10 + 6602*T1^10*T2^10 - 3200*T1^11*T2^10 + 
      568*T1^12*T2^10 + 64*T1^5*T2^11 - 512*T1^6*T2^11 + 1760*T1^7*T2^11 - 
      3424*T1^8*T2^11 + 4176*T1^9*T2^11 - 3200*T1^10*T2^11 + 
      1408*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      568*T1^8*T2^12 - 728*T1^9*T2^12 + 568*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 233] -> 
  {(1 - 8*T + 27*T^2 - 54*T^3 + 69*T^4 - 54*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 216*T1^3 - 276*T1^4 + 216*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1080*T1^3*T2 + 
     912*T1^4*T2 - 72*T1^5*T2 - 432*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1435*T1^2*T2^2 + 1086*T1^3*T2^2 + 
     1443*T1^4*T2^2 - 4479*T1^5*T2^2 + 3711*T1^6*T2^2 - 1398*T1^7*T2^2 - 
     31*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 216*T2^3 - 1080*T1*T2^3 + 
     1086*T1^2*T2^3 + 2398*T1^3*T2^3 - 8798*T1^4*T2^3 + 11141*T1^5*T2^3 - 
     2305*T1^6*T2^3 - 3776*T1^7*T2^3 + 3748*T1^8*T2^3 - 1344*T1^9*T2^3 + 
     54*T1^11*T2^3 - 276*T2^4 + 912*T1*T2^4 + 1443*T1^2*T2^4 - 
     8798*T1^3*T2^4 + 15030*T1^4*T2^4 - 7677*T1^5*T2^4 - 14336*T1^6*T2^4 + 
     15915*T1^7*T2^4 - 5946*T1^8*T2^4 - 1238*T1^9*T2^4 + 1983*T1^10*T2^4 - 
     432*T1^11*T2^4 + 216*T2^5 - 72*T1*T2^5 - 4479*T1^2*T2^5 + 
     11141*T1^3*T2^5 - 7677*T1^4*T2^5 - 14998*T1^5*T2^5 + 38948*T1^6*T2^5 - 
     15700*T1^7*T2^5 - 9562*T1^8*T2^5 + 13743*T1^9*T2^5 - 5869*T1^10*T2^5 + 
     21*T1^11*T2^5 + 432*T1^12*T2^5 - 54*T1^13*T2^5 - 108*T2^6 - 
     432*T1*T2^6 + 3711*T1^2*T2^6 - 2305*T1^3*T2^6 - 14336*T1^4*T2^6 + 
     38948*T1^5*T2^6 - 36421*T1^6*T2^6 - 21791*T1^7*T2^6 + 44795*T1^8*T2^6 - 
     23692*T1^9*T2^6 + 406*T1^10*T2^6 + 5795*T1^11*T2^6 - 2013*T1^12*T2^6 + 
     54*T1^14*T2^6 + 32*T2^7 + 392*T1*T2^7 - 1398*T1^2*T2^7 - 
     3776*T1^3*T2^7 + 15915*T1^4*T2^7 - 15700*T1^5*T2^7 - 21791*T1^6*T2^7 + 
     80246*T1^7*T2^7 - 61054*T1^8*T2^7 + 1105*T1^9*T2^7 + 22964*T1^10*T2^7 - 
     14193*T1^11*T2^7 + 1354*T1^12*T2^7 + 1356*T1^13*T2^7 - 240*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 31*T1^2*T2^8 + 3748*T1^3*T2^8 - 
     5946*T1^4*T2^8 - 9562*T1^5*T2^8 + 44795*T1^6*T2^8 - 61054*T1^7*T2^8 + 
     1488*T1^8*T2^8 + 59674*T1^9*T2^8 - 45709*T1^10*T2^8 + 10670*T1^11*T2^8 + 
     5946*T1^12*T2^8 - 3812*T1^13*T2^8 + 29*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 240*T1^2*T2^9 - 1344*T1^3*T2^9 - 
     1238*T1^4*T2^9 + 13743*T1^5*T2^9 - 23692*T1^6*T2^9 + 1105*T1^7*T2^9 + 
     59674*T1^8*T2^9 - 81626*T1^9*T2^9 + 24001*T1^10*T2^9 + 
     14972*T1^11*T2^9 - 16365*T1^12*T2^9 + 3892*T1^13*T2^9 + 
     1410*T1^14*T2^9 - 392*T1^15*T2^9 - 32*T1^16*T2^9 - 54*T1^2*T2^10 + 
     1983*T1^4*T2^10 - 5869*T1^5*T2^10 + 406*T1^6*T2^10 + 22964*T1^7*T2^10 - 
     45709*T1^8*T2^10 + 24001*T1^9*T2^10 + 35507*T1^10*T2^10 - 
     39676*T1^11*T2^10 + 15148*T1^12*T2^10 + 2231*T1^13*T2^10 - 
     3741*T1^14*T2^10 + 432*T1^15*T2^10 + 108*T1^16*T2^10 + 54*T1^3*T2^11 - 
     432*T1^4*T2^11 + 21*T1^5*T2^11 + 5795*T1^6*T2^11 - 14193*T1^7*T2^11 + 
     10670*T1^8*T2^11 + 14972*T1^9*T2^11 - 39676*T1^10*T2^11 + 
     16106*T1^11*T2^11 + 7227*T1^12*T2^11 - 11215*T1^13*T2^11 + 
     4521*T1^14*T2^11 + 72*T1^15*T2^11 - 216*T1^16*T2^11 + 432*T1^5*T2^12 - 
     2013*T1^6*T2^12 + 1354*T1^7*T2^12 + 5946*T1^8*T2^12 - 16365*T1^9*T2^12 + 
     15148*T1^10*T2^12 + 7227*T1^11*T2^12 - 15030*T1^12*T2^12 + 
     8914*T1^13*T2^12 - 1473*T1^14*T2^12 - 912*T1^15*T2^12 + 
     276*T1^16*T2^12 - 54*T1^5*T2^13 + 1356*T1^7*T2^13 - 3812*T1^8*T2^13 + 
     3892*T1^9*T2^13 + 2231*T1^10*T2^13 - 11215*T1^11*T2^13 + 
     8914*T1^12*T2^13 - 2462*T1^13*T2^13 - 1074*T1^14*T2^13 + 
     1080*T1^15*T2^13 - 216*T1^16*T2^13 + 54*T1^6*T2^14 - 240*T1^7*T2^14 + 
     29*T1^8*T2^14 + 1410*T1^9*T2^14 - 3741*T1^10*T2^14 + 4521*T1^11*T2^14 - 
     1473*T1^12*T2^14 - 1074*T1^13*T2^14 + 1433*T1^14*T2^14 - 
     672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     392*T1^9*T2^15 + 432*T1^10*T2^15 + 72*T1^11*T2^15 - 912*T1^12*T2^15 + 
     1080*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 216*T1^11*T2^16 + 
     276*T1^12*T2^16 - 216*T1^13*T2^16 + 108*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 234] -> 
  {((1 - T + T^2)*(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6))/T^4, 
   (-33 + 131*T1 - 294*T1^2 + 441*T1^3 - 507*T1^4 + 441*T1^5 - 294*T1^6 + 
     131*T1^7 - 33*T1^8 + 131*T2 - 422*T1*T2 + 777*T1^2*T2 - 873*T1^3*T2 + 
     694*T1^4*T2 - 234*T1^5*T2 - 153*T1^6*T2 + 361*T1^7*T2 - 262*T1^8*T2 + 
     99*T1^9*T2 - 294*T2^2 + 777*T1*T2^2 - 1212*T1^2*T2^2 + 1030*T1^3*T2^2 - 
     629*T1^4*T2^2 - 58*T1^5*T2^2 + 307*T1^6*T2^2 - 338*T1^7*T2^2 - 
     60*T1^8*T2^2 + 201*T1^9*T2^2 - 150*T1^10*T2^2 + 441*T2^3 - 873*T1*T2^3 + 
     1030*T1^2*T2^3 - 324*T1^3*T2^3 - 67*T1^4*T2^3 + 681*T1^5*T2^3 - 
     381*T1^6*T2^3 + 95*T1^7*T2^3 + 630*T1^8*T2^3 - 446*T1^9*T2^3 + 
     135*T1^10*T2^3 + 117*T1^11*T2^3 - 507*T2^4 + 694*T1*T2^4 - 
     629*T1^2*T2^4 - 67*T1^3*T2^4 - 363*T1^4*T2^4 + 210*T1^5*T2^4 - 
     1069*T1^6*T2^4 + 1114*T1^7*T2^4 - 1379*T1^8*T2^4 + 149*T1^9*T2^4 + 
     379*T1^10*T2^4 - 426*T1^11*T2^4 - 11*T1^12*T2^4 + 441*T2^5 - 
     234*T1*T2^5 - 58*T1^2*T2^5 + 681*T1^3*T2^5 + 210*T1^4*T2^5 + 
     90*T1^5*T2^5 + 976*T1^6*T2^5 - 752*T1^7*T2^5 + 774*T1^8*T2^5 + 
     780*T1^9*T2^5 - 561*T1^10*T2^5 + 62*T1^11*T2^5 + 438*T1^12*T2^5 - 
     99*T1^13*T2^5 - 294*T2^6 - 153*T1*T2^6 + 307*T1^2*T2^6 - 381*T1^3*T2^6 - 
     1069*T1^4*T2^6 + 976*T1^5*T2^6 - 2406*T1^6*T2^6 + 1696*T1^7*T2^6 - 
     858*T1^8*T2^6 - 1004*T1^9*T2^6 + 155*T1^10*T2^6 + 411*T1^11*T2^6 - 
     485*T1^12*T2^6 - 153*T1^13*T2^6 + 138*T1^14*T2^6 + 131*T2^7 + 
     361*T1*T2^7 - 338*T1^2*T2^7 + 95*T1^3*T2^7 + 1114*T1^4*T2^7 - 
     752*T1^5*T2^7 + 1696*T1^6*T2^7 - 267*T1^7*T2^7 - 803*T1^8*T2^7 + 
     1363*T1^9*T2^7 + 472*T1^10*T2^7 - 792*T1^11*T2^7 + 149*T1^12*T2^7 + 
     490*T1^13*T2^7 - 183*T1^14*T2^7 - 93*T1^15*T2^7 - 33*T2^8 - 
     262*T1*T2^8 - 60*T1^2*T2^8 + 630*T1^3*T2^8 - 1379*T1^4*T2^8 + 
     774*T1^5*T2^8 - 858*T1^6*T2^8 - 803*T1^7*T2^8 + 1416*T1^8*T2^8 - 
     585*T1^9*T2^8 - 768*T1^10*T2^8 + 150*T1^11*T2^8 + 909*T1^12*T2^8 - 
     774*T1^13*T2^8 + 36*T1^14*T2^8 + 250*T1^15*T2^8 + 31*T1^16*T2^8 + 
     99*T1*T2^9 + 201*T1^2*T2^9 - 446*T1^3*T2^9 + 149*T1^4*T2^9 + 
     780*T1^5*T2^9 - 1004*T1^6*T2^9 + 1363*T1^7*T2^9 - 585*T1^8*T2^9 - 
     1121*T1^9*T2^9 + 1030*T1^10*T2^9 + 220*T1^11*T2^9 - 1126*T1^12*T2^9 + 
     203*T1^13*T2^9 + 382*T1^14*T2^9 - 343*T1^15*T2^9 - 125*T1^16*T2^9 - 
     150*T1^2*T2^10 + 135*T1^3*T2^10 + 379*T1^4*T2^10 - 561*T1^5*T2^10 + 
     155*T1^6*T2^10 + 472*T1^7*T2^10 - 768*T1^8*T2^10 + 1030*T1^9*T2^10 + 
     780*T1^10*T2^10 - 1508*T1^11*T2^10 + 1379*T1^12*T2^10 + 
     231*T1^13*T2^10 - 413*T1^14*T2^10 + 135*T1^15*T2^10 + 282*T1^16*T2^10 + 
     117*T1^3*T2^11 - 426*T1^4*T2^11 + 62*T1^5*T2^11 + 411*T1^6*T2^11 - 
     792*T1^7*T2^11 + 150*T1^8*T2^11 + 220*T1^9*T2^11 - 1508*T1^10*T2^11 + 
     834*T1^11*T2^11 - 222*T1^12*T2^11 - 831*T1^13*T2^11 + 182*T1^14*T2^11 + 
     246*T1^15*T2^11 - 423*T1^16*T2^11 - 11*T1^4*T2^12 + 438*T1^5*T2^12 - 
     485*T1^6*T2^12 + 149*T1^7*T2^12 + 909*T1^8*T2^12 - 1126*T1^9*T2^12 + 
     1379*T1^10*T2^12 - 222*T1^11*T2^12 - 107*T1^12*T2^12 + 365*T1^13*T2^12 + 
     523*T1^14*T2^12 - 682*T1^15*T2^12 + 485*T1^16*T2^12 - 99*T1^5*T2^13 - 
     153*T1^6*T2^13 + 490*T1^7*T2^13 - 774*T1^8*T2^13 + 203*T1^9*T2^13 + 
     231*T1^10*T2^13 - 831*T1^11*T2^13 + 365*T1^12*T2^13 + 180*T1^13*T2^13 - 
     986*T1^14*T2^13 + 855*T1^15*T2^13 - 423*T1^16*T2^13 + 138*T1^6*T2^14 - 
     183*T1^7*T2^14 + 36*T1^8*T2^14 + 382*T1^9*T2^14 - 413*T1^10*T2^14 + 
     182*T1^11*T2^14 + 523*T1^12*T2^14 - 986*T1^13*T2^14 + 1188*T1^14*T2^14 - 
     759*T1^15*T2^14 + 282*T1^16*T2^14 - 93*T1^7*T2^15 + 250*T1^8*T2^15 - 
     343*T1^9*T2^15 + 135*T1^10*T2^15 + 246*T1^11*T2^15 - 682*T1^12*T2^15 + 
     855*T1^13*T2^15 - 759*T1^14*T2^15 + 410*T1^15*T2^15 - 125*T1^16*T2^15 + 
     31*T1^8*T2^16 - 125*T1^9*T2^16 + 282*T1^10*T2^16 - 423*T1^11*T2^16 + 
     485*T1^12*T2^16 - 423*T1^13*T2^16 + 282*T1^14*T2^16 - 125*T1^15*T2^16 + 
     31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 235] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-256 + 1148*T1 - 2540*T1^2 + 3232*T1^3 - 2540*T1^4 + 1148*T1^5 - 
     256*T1^6 + 1148*T2 - 4294*T1*T2 + 7556*T1^2*T2 - 5996*T1^3*T2 + 
     556*T1^4*T2 + 3380*T1^5*T2 - 2710*T1^6*T2 + 860*T1^7*T2 - 2540*T2^2 + 
     7556*T1*T2^2 - 9151*T1^2*T2^2 - 725*T1^3*T2^2 + 11371*T1^4*T2^2 - 
     11285*T1^5*T2^2 + 2369*T1^6*T2^2 + 1796*T1^7*T2^2 - 1260*T1^8*T2^2 + 
     3232*T2^3 - 5996*T1*T2^3 - 725*T1^2*T2^3 + 19760*T1^3*T2^3 - 
     23614*T1^4*T2^3 + 6410*T1^5*T2^3 + 11660*T1^6*T2^3 - 9365*T1^7*T2^3 + 
     2140*T1^8*T2^3 + 784*T1^9*T2^3 - 2540*T2^4 + 556*T1*T2^4 + 
     11371*T1^2*T2^4 - 23614*T1^3*T2^4 + 3930*T1^4*T2^4 + 27192*T1^5*T2^4 - 
     33618*T1^6*T2^4 + 9842*T1^7*T2^4 + 3923*T1^8*T2^4 - 3620*T1^9*T2^4 + 
     20*T1^10*T2^4 + 1148*T2^5 + 3380*T1*T2^5 - 11285*T1^2*T2^5 + 
     6410*T1^3*T2^5 + 27192*T1^4*T2^5 - 45416*T1^5*T2^5 + 22864*T1^6*T2^5 + 
     13272*T1^7*T2^5 - 16750*T1^8*T2^5 + 5035*T1^9*T2^5 + 1220*T1^10*T2^5 - 
     292*T1^11*T2^5 - 256*T2^6 - 2710*T1*T2^6 + 2369*T1^2*T2^6 + 
     11660*T1^3*T2^6 - 33618*T1^4*T2^6 + 22864*T1^5*T2^6 + 16212*T1^6*T2^6 - 
     37808*T1^7*T2^6 + 19326*T1^8*T2^6 + 1004*T1^9*T2^6 - 4319*T1^10*T2^6 + 
     746*T1^11*T2^6 + 128*T1^12*T2^6 + 860*T1*T2^7 + 1796*T1^2*T2^7 - 
     9365*T1^3*T2^7 + 9842*T1^4*T2^7 + 13272*T1^5*T2^7 - 37808*T1^6*T2^7 + 
     30472*T1^7*T2^7 - 648*T1^8*T2^7 - 13318*T1^9*T2^7 + 6955*T1^10*T2^7 - 
     364*T1^11*T2^7 - 580*T1^12*T2^7 - 1260*T1^2*T2^8 + 2140*T1^3*T2^8 + 
     3923*T1^4*T2^8 - 16750*T1^5*T2^8 + 19326*T1^6*T2^8 - 648*T1^7*T2^8 - 
     18222*T1^8*T2^8 + 16706*T1^9*T2^8 - 3525*T1^10*T2^8 - 2036*T1^11*T2^8 + 
     1300*T1^12*T2^8 + 784*T1^3*T2^9 - 3620*T1^4*T2^9 + 5035*T1^5*T2^9 + 
     1004*T1^6*T2^9 - 13318*T1^7*T2^9 + 16706*T1^8*T2^9 - 7096*T1^9*T2^9 - 
     3605*T1^10*T2^9 + 4516*T1^11*T2^9 - 1664*T1^12*T2^9 + 20*T1^4*T2^10 + 
     1220*T1^5*T2^10 - 4319*T1^6*T2^10 + 6955*T1^7*T2^10 - 3525*T1^8*T2^10 - 
     3605*T1^9*T2^10 + 7201*T1^10*T2^10 - 4540*T1^11*T2^10 + 
     1300*T1^12*T2^10 - 292*T1^5*T2^11 + 746*T1^6*T2^11 - 364*T1^7*T2^11 - 
     2036*T1^8*T2^11 + 4516*T1^9*T2^11 - 4540*T1^10*T2^11 + 
     2330*T1^11*T2^11 - 580*T1^12*T2^11 + 128*T1^6*T2^12 - 580*T1^7*T2^12 + 
     1300*T1^8*T2^12 - 1664*T1^9*T2^12 + 1300*T1^10*T2^12 - 580*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 236] -> 
  {-(((1 - T + T^2)*(2 - 6*T + 6*T^2 - 5*T^3 + 6*T^4 - 6*T^5 + 2*T^6))/T^4), 
   -((-57 + 227*T1 - 396*T1^2 + 481*T1^3 - 481*T1^4 + 481*T1^5 - 396*T1^6 + 
      227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 803*T1^2*T2 - 563*T1^3*T2 + 
      272*T1^4*T2 - 272*T1^5*T2 - 67*T1^6*T2 + 451*T1^7*T2 - 550*T1^8*T2 + 
      195*T1^9*T2 - 396*T2^2 + 803*T1*T2^2 + 58*T1^2*T2^2 - 950*T1^3*T2^2 + 
      1285*T1^4*T2^2 - 874*T1^5*T2^2 + 1453*T1^6*T2^2 - 1454*T1^7*T2^2 + 
      730*T1^8*T2^2 + 355*T1^9*T2^2 - 284*T1^10*T2^2 + 481*T2^3 - 
      563*T1*T2^3 - 950*T1^2*T2^3 + 1234*T1^3*T2^3 - 711*T1^4*T2^3 - 
      193*T1^5*T2^3 - 839*T1^6*T2^3 + 211*T1^7*T2^3 + 708*T1^8*T2^3 - 
      1258*T1^9*T2^3 + 29*T1^10*T2^3 + 277*T1^11*T2^3 - 481*T2^4 + 
      272*T1*T2^4 + 1285*T1^2*T2^4 - 711*T1^3*T2^4 + 187*T1^4*T2^4 + 
      204*T1^5*T2^4 + 1425*T1^6*T2^4 - 204*T1^7*T2^4 - 221*T1^8*T2^4 + 
      241*T1^9*T2^4 + 1013*T1^10*T2^4 - 272*T1^11*T2^4 - 209*T1^12*T2^4 + 
      481*T2^5 - 272*T1*T2^5 - 874*T1^2*T2^5 - 193*T1^3*T2^5 + 
      204*T1^4*T2^5 - 270*T1^5*T2^5 - 1230*T1^6*T2^5 - 414*T1^7*T2^5 + 
      138*T1^8*T2^5 - 170*T1^9*T2^5 - 635*T1^10*T2^5 - 466*T1^11*T2^5 + 
      272*T1^12*T2^5 + 141*T1^13*T2^5 - 396*T2^6 - 67*T1*T2^6 + 
      1453*T1^2*T2^6 - 839*T1^3*T2^6 + 1425*T1^4*T2^6 - 1230*T1^5*T2^6 + 
      2214*T1^6*T2^6 - 346*T1^7*T2^6 + 762*T1^8*T2^6 - 210*T1^9*T2^6 + 
      745*T1^10*T2^6 + 113*T1^11*T2^6 + 405*T1^12*T2^6 - 323*T1^13*T2^6 - 
      60*T1^14*T2^6 + 227*T2^7 + 451*T1*T2^7 - 1454*T1^2*T2^7 + 
      211*T1^3*T2^7 - 204*T1^4*T2^7 - 414*T1^5*T2^7 - 346*T1^6*T2^7 - 
      1043*T1^7*T2^7 + 65*T1^8*T2^7 - 165*T1^9*T2^7 - 822*T1^10*T2^7 + 
      306*T1^11*T2^7 - 591*T1^12*T2^7 + 30*T1^13*T2^7 + 227*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 730*T1^2*T2^8 + 708*T1^3*T2^8 - 
      221*T1^4*T2^8 + 138*T1^5*T2^8 + 762*T1^6*T2^8 + 65*T1^7*T2^8 + 
      1116*T1^8*T2^8 - 905*T1^9*T2^8 + 1240*T1^10*T2^8 - 270*T1^11*T2^8 + 
      147*T1^12*T2^8 + 424*T1^13*T2^8 - 326*T1^14*T2^8 - 38*T1^15*T2^8 + 
      7*T1^16*T2^8 + 195*T1*T2^9 + 355*T1^2*T2^9 - 1258*T1^3*T2^9 + 
      241*T1^4*T2^9 - 170*T1^5*T2^9 - 210*T1^6*T2^9 - 165*T1^7*T2^9 - 
      905*T1^8*T2^9 + 203*T1^9*T2^9 + 16*T1^10*T2^9 - 618*T1^11*T2^9 + 
      340*T1^12*T2^9 - 561*T1^13*T2^9 + 226*T1^14*T2^9 + 131*T1^15*T2^9 - 
      29*T1^16*T2^9 - 284*T1^2*T2^10 + 29*T1^3*T2^10 + 1013*T1^4*T2^10 - 
      635*T1^5*T2^10 + 745*T1^6*T2^10 - 822*T1^7*T2^10 + 1240*T1^8*T2^10 + 
      16*T1^9*T2^10 - 212*T1^10*T2^10 + 198*T1^11*T2^10 + 65*T1^12*T2^10 + 
      317*T1^13*T2^10 - 35*T1^14*T2^10 - 227*T1^15*T2^10 + 52*T1^16*T2^10 + 
      277*T1^3*T2^11 - 272*T1^4*T2^11 - 466*T1^5*T2^11 + 113*T1^6*T2^11 + 
      306*T1^7*T2^11 - 270*T1^8*T2^11 - 618*T1^9*T2^11 + 198*T1^10*T2^11 + 
      138*T1^11*T2^11 - 68*T1^12*T2^11 - 329*T1^13*T2^11 - 58*T1^14*T2^11 + 
      272*T1^15*T2^11 - 63*T1^16*T2^11 - 209*T1^4*T2^12 + 272*T1^5*T2^12 + 
      405*T1^6*T2^12 - 591*T1^7*T2^12 + 147*T1^8*T2^12 + 340*T1^9*T2^12 + 
      65*T1^10*T2^12 - 68*T1^11*T2^12 - 261*T1^12*T2^12 + 361*T1^13*T2^12 + 
      133*T1^14*T2^12 - 272*T1^15*T2^12 + 63*T1^16*T2^12 + 141*T1^5*T2^13 - 
      323*T1^6*T2^13 + 30*T1^7*T2^13 + 424*T1^8*T2^13 - 561*T1^9*T2^13 + 
      317*T1^10*T2^13 - 329*T1^11*T2^13 + 361*T1^12*T2^13 - 102*T1^13*T2^13 - 
      278*T1^14*T2^13 + 269*T1^15*T2^13 - 63*T1^16*T2^13 - 60*T1^6*T2^14 + 
      227*T1^7*T2^14 - 326*T1^8*T2^14 + 226*T1^9*T2^14 - 35*T1^10*T2^14 - 
      58*T1^11*T2^14 + 133*T1^12*T2^14 - 278*T1^13*T2^14 + 346*T1^14*T2^14 - 
      221*T1^15*T2^14 + 52*T1^16*T2^14 + 3*T1^7*T2^15 - 38*T1^8*T2^15 + 
      131*T1^9*T2^15 - 227*T1^10*T2^15 + 272*T1^11*T2^15 - 272*T1^12*T2^15 + 
      269*T1^13*T2^15 - 221*T1^14*T2^15 + 122*T1^15*T2^15 - 29*T1^16*T2^15 + 
      7*T1^8*T2^16 - 29*T1^9*T2^16 + 52*T1^10*T2^16 - 63*T1^11*T2^16 + 
      63*T1^12*T2^16 - 63*T1^13*T2^16 + 52*T1^14*T2^16 - 29*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 237] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3), 
   -((-336 + 1500*T1 - 2980*T1^2 + 3720*T1^3 - 2980*T1^4 + 1500*T1^5 - 
      336*T1^6 + 1500*T2 - 5494*T1*T2 + 7928*T1^2*T2 - 5908*T1^3*T2 - 
      76*T1^4*T2 + 4040*T1^5*T2 - 3910*T1^6*T2 + 1212*T1^7*T2 - 2980*T2^2 + 
      7928*T1*T2^2 - 4175*T1^2*T2^2 - 6911*T1^3*T2^2 + 17485*T1^4*T2^2 - 
      14687*T1^5*T2^2 + 5041*T1^6*T2^2 + 2744*T1^7*T2^2 - 1828*T1^8*T2^2 + 
      3720*T2^3 - 5908*T1*T2^3 - 6911*T1^2*T2^3 + 19950*T1^3*T2^3 - 
      21146*T1^4*T2^3 + 2182*T1^5*T2^3 + 11418*T1^6*T2^3 - 12095*T1^7*T2^3 + 
      1220*T1^8*T2^3 + 1560*T1^9*T2^3 - 2980*T2^4 - 76*T1*T2^4 + 
      17485*T1^2*T2^4 - 21146*T1^3*T2^4 + 7510*T1^4*T2^4 + 17440*T1^5*T2^4 - 
      17798*T1^6*T2^4 + 4774*T1^7*T2^4 + 9061*T1^8*T2^4 - 3964*T1^9*T2^4 - 
      676*T1^10*T2^4 + 1500*T2^5 + 4040*T1*T2^5 - 14687*T1^2*T2^5 + 
      2182*T1^3*T2^5 + 17440*T1^4*T2^5 - 27974*T1^5*T2^5 + 6190*T1^6*T2^5 + 
      12256*T1^7*T2^5 - 15962*T1^8*T2^5 + 865*T1^9*T2^5 + 2744*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3910*T1*T2^6 + 5041*T1^2*T2^6 + 
      11418*T1^3*T2^6 - 17798*T1^4*T2^6 + 6190*T1^5*T2^6 + 20976*T1^6*T2^6 - 
      24050*T1^7*T2^6 + 10282*T1^8*T2^6 + 7098*T1^9*T2^6 - 4463*T1^10*T2^6 - 
      454*T1^11*T2^6 + 48*T1^12*T2^6 + 1212*T1*T2^7 + 2744*T1^2*T2^7 - 
      12095*T1^3*T2^7 + 4774*T1^4*T2^7 + 12256*T1^5*T2^7 - 24050*T1^6*T2^7 + 
      10114*T1^7*T2^7 + 7072*T1^8*T2^7 - 13370*T1^9*T2^7 + 3457*T1^10*T2^7 + 
      1448*T1^11*T2^7 - 228*T1^12*T2^7 - 1828*T1^2*T2^8 + 1220*T1^3*T2^8 + 
      9061*T1^4*T2^8 - 15962*T1^5*T2^8 + 10282*T1^6*T2^8 + 7072*T1^7*T2^8 - 
      15026*T1^8*T2^8 + 9958*T1^9*T2^8 + 637*T1^10*T2^8 - 2668*T1^11*T2^8 + 
      476*T1^12*T2^8 + 1560*T1^3*T2^9 - 3964*T1^4*T2^9 + 865*T1^5*T2^9 + 
      7098*T1^6*T2^9 - 13370*T1^7*T2^9 + 9958*T1^8*T2^9 - 1434*T1^9*T2^9 - 
      4319*T1^10*T2^9 + 3164*T1^11*T2^9 - 600*T1^12*T2^9 - 676*T1^4*T2^10 + 
      2744*T1^5*T2^10 - 4463*T1^6*T2^10 + 3457*T1^7*T2^10 + 637*T1^8*T2^10 - 
      4319*T1^9*T2^10 + 4753*T1^10*T2^10 - 2440*T1^11*T2^10 + 
      476*T1^12*T2^10 + 60*T1^5*T2^11 - 454*T1^6*T2^11 + 1448*T1^7*T2^11 - 
      2668*T1^8*T2^11 + 3164*T1^9*T2^11 - 2440*T1^10*T2^11 + 
      1130*T1^11*T2^11 - 228*T1^12*T2^11 + 48*T1^6*T2^12 - 228*T1^7*T2^12 + 
      476*T1^8*T2^12 - 600*T1^9*T2^12 + 476*T1^10*T2^12 - 228*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 238] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-336 + 1420*T1 - 2744*T1^2 + 3408*T1^3 - 2744*T1^4 + 1420*T1^5 - 
      336*T1^6 + 1420*T2 - 4858*T1*T2 + 6762*T1^2*T2 - 5054*T1^3*T2 - 
      22*T1^4*T2 + 3362*T1^5*T2 - 3430*T1^6*T2 + 1148*T1^7*T2 - 2744*T2^2 + 
      6762*T1*T2^2 - 3576*T1^2*T2^2 - 4864*T1^3*T2^2 + 13352*T1^4*T2^2 - 
      11200*T1^5*T2^2 + 4080*T1^6*T2^2 + 2274*T1^7*T2^2 - 1688*T1^8*T2^2 + 
      3408*T2^3 - 5054*T1*T2^3 - 4864*T1^2*T2^3 + 14031*T1^3*T2^3 - 
      15564*T1^4*T2^3 + 1350*T1^5*T2^3 + 8121*T1^6*T2^3 - 9319*T1^7*T2^3 + 
      1066*T1^8*T2^3 + 1440*T1^9*T2^3 - 2744*T2^4 - 22*T1*T2^4 + 
      13352*T1^2*T2^4 - 15564*T1^3*T2^4 + 6876*T1^4*T2^4 + 11674*T1^5*T2^4 - 
      11268*T1^6*T2^4 + 3214*T1^7*T2^4 + 7078*T1^8*T2^4 - 3422*T1^9*T2^4 - 
      632*T1^10*T2^4 + 1420*T2^5 + 3362*T1*T2^5 - 11200*T1^2*T2^5 + 
      1350*T1^3*T2^5 + 11674*T1^4*T2^5 - 19866*T1^5*T2^5 + 3246*T1^6*T2^5 + 
      8539*T1^7*T2^5 - 11836*T1^8*T2^5 + 779*T1^9*T2^5 + 2410*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3430*T1*T2^6 + 4080*T1^2*T2^6 + 
      8121*T1^3*T2^6 - 11268*T1^4*T2^6 + 3246*T1^5*T2^6 + 16824*T1^6*T2^6 - 
      17134*T1^7*T2^6 + 7666*T1^8*T2^6 + 5307*T1^9*T2^6 - 3692*T1^10*T2^6 - 
      438*T1^11*T2^6 + 48*T1^12*T2^6 + 1148*T1*T2^7 + 2274*T1^2*T2^7 - 
      9319*T1^3*T2^7 + 3214*T1^4*T2^7 + 8539*T1^5*T2^7 - 17134*T1^6*T2^7 + 
      5978*T1^7*T2^7 + 5404*T1^8*T2^7 - 9972*T1^9*T2^7 + 2660*T1^10*T2^7 + 
      1322*T1^11*T2^7 - 212*T1^12*T2^7 - 1688*T1^2*T2^8 + 1066*T1^3*T2^8 + 
      7078*T1^4*T2^8 - 11836*T1^5*T2^8 + 7666*T1^6*T2^8 + 5404*T1^7*T2^8 - 
      10478*T1^8*T2^8 + 6942*T1^9*T2^8 + 804*T1^10*T2^8 - 2334*T1^11*T2^8 + 
      424*T1^12*T2^8 + 1440*T1^3*T2^9 - 3422*T1^4*T2^9 + 779*T1^5*T2^9 + 
      5307*T1^6*T2^9 - 9972*T1^7*T2^9 + 6942*T1^8*T2^9 - 603*T1^9*T2^9 - 
      3676*T1^10*T2^9 + 2698*T1^11*T2^9 - 528*T1^12*T2^9 - 632*T1^4*T2^10 + 
      2410*T1^5*T2^10 - 3692*T1^6*T2^10 + 2660*T1^7*T2^10 + 804*T1^8*T2^10 - 
      3676*T1^9*T2^10 + 3964*T1^10*T2^10 - 2078*T1^11*T2^10 + 
      424*T1^12*T2^10 + 60*T1^5*T2^11 - 438*T1^6*T2^11 + 1322*T1^7*T2^11 - 
      2334*T1^8*T2^11 + 2698*T1^9*T2^11 - 2078*T1^10*T2^11 + 
      990*T1^11*T2^11 - 212*T1^12*T2^11 + 48*T1^6*T2^12 - 212*T1^7*T2^12 + 
      424*T1^8*T2^12 - 528*T1^9*T2^12 + 424*T1^10*T2^12 - 212*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 239] -> {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   -((-747 + 2729*T1 - 3827*T1^2 + 2729*T1^3 - 747*T1^4 + 2729*T2 - 
      8046*T1*T2 + 6930*T1^2*T2 - 66*T1^3*T2 - 4350*T1^4*T2 + 1937*T1^5*T2 - 
      3827*T2^2 + 6930*T1*T2^2 + 4681*T1^2*T2^2 - 16585*T1^3*T2^2 + 
      13981*T1^4*T2^2 - 1254*T1^5*T2^2 - 1595*T1^6*T2^2 + 2729*T2^3 - 
      66*T1*T2^3 - 16585*T1^2*T2^3 + 20152*T1^3*T2^3 - 4906*T1^4*T2^3 - 
      9765*T1^5*T2^3 + 4554*T1^6*T2^3 + 353*T1^7*T2^3 - 747*T2^4 - 
      4350*T1*T2^4 + 13981*T1^2*T2^4 - 4906*T1^3*T2^4 - 12360*T1^4*T2^4 + 
      16126*T1^5*T2^4 - 2851*T1^6*T2^4 - 1710*T1^7*T2^4 + 117*T1^8*T2^4 + 
      1937*T1*T2^5 - 1254*T1^2*T2^5 - 9765*T1^3*T2^5 + 16126*T1^4*T2^5 - 
      8932*T1^5*T2^5 - 2945*T1^6*T2^5 + 3366*T1^7*T2^5 - 439*T1^8*T2^5 - 
      1595*T1^2*T2^6 + 4554*T1^3*T2^6 - 2851*T1^4*T2^6 - 2945*T1^5*T2^6 + 
      6449*T1^6*T2^6 - 3630*T1^7*T2^6 + 637*T1^8*T2^6 + 353*T1^3*T2^7 - 
      1710*T1^4*T2^7 + 3366*T1^5*T2^7 - 3630*T1^6*T2^7 + 1986*T1^7*T2^7 - 
      439*T1^8*T2^7 + 117*T1^4*T2^8 - 439*T1^5*T2^8 + 637*T1^6*T2^8 - 
      439*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 240] -> 
  {(2 - 9*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 172*T1^2 + 271*T1^3 - 313*T1^4 + 271*T1^5 - 
     172*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 282*T1*T2 + 627*T1^2*T2 - 
     837*T1^3*T2 + 798*T1^4*T2 - 516*T1^5*T2 + 171*T1^6*T2 + 69*T1^7*T2 - 
     84*T1^8*T2 + 33*T1^9*T2 - 172*T2^2 + 627*T1*T2^2 - 1221*T1^2*T2^2 + 
     1268*T1^3*T2^2 - 765*T1^4*T2^2 - 69*T1^5*T2^2 + 731*T1^6*T2^2 - 
     932*T1^7*T2^2 + 539*T1^8*T2^2 - 165*T1^9*T2^2 + 4*T1^10*T2^2 + 
     271*T2^3 - 837*T1*T2^3 + 1268*T1^2*T2^3 - 554*T1^3*T2^3 - 
     627*T1^4*T2^3 + 1519*T1^5*T2^3 - 1511*T1^6*T2^3 + 669*T1^7*T2^3 + 
     652*T1^8*T2^3 - 1042*T1^9*T2^3 + 603*T1^10*T2^3 - 137*T1^11*T2^3 - 
     313*T2^4 + 798*T1*T2^4 - 765*T1^2*T2^4 - 627*T1^3*T2^4 + 
     1703*T1^4*T2^4 - 1430*T1^5*T2^4 + 241*T1^6*T2^4 + 1174*T1^7*T2^4 - 
     2053*T1^8*T2^4 + 1005*T1^9*T2^4 + 591*T1^10*T2^4 - 786*T1^11*T2^4 + 
     311*T1^12*T2^4 + 271*T2^5 - 516*T1*T2^5 - 69*T1^2*T2^5 + 
     1519*T1^3*T2^5 - 1430*T1^4*T2^5 - 881*T1^5*T2^5 + 2648*T1^6*T2^5 - 
     3528*T1^7*T2^5 + 2703*T1^8*T2^5 + 30*T1^9*T2^5 - 1859*T1^10*T2^5 + 
     432*T1^11*T2^5 + 438*T1^12*T2^5 - 409*T1^13*T2^5 - 172*T2^6 + 
     171*T1*T2^6 + 731*T1^2*T2^6 - 1511*T1^3*T2^6 + 241*T1^4*T2^6 + 
     2648*T1^5*T2^6 - 2065*T1^6*T2^6 + 803*T1^7*T2^6 + 1787*T1^8*T2^6 - 
     3940*T1^9*T2^6 + 3241*T1^10*T2^6 + 997*T1^11*T2^6 - 1045*T1^12*T2^6 + 
     243*T1^13*T2^6 + 356*T1^14*T2^6 + 69*T2^7 + 69*T1*T2^7 - 932*T1^2*T2^7 + 
     669*T1^3*T2^7 + 1174*T1^4*T2^7 - 3528*T1^5*T2^7 + 803*T1^6*T2^7 - 
     382*T1^7*T2^7 - 820*T1^8*T2^7 + 215*T1^9*T2^7 + 1824*T1^10*T2^7 - 
     4862*T1^11*T2^7 + 717*T1^12*T2^7 + 718*T1^13*T2^7 - 777*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 84*T1*T2^8 + 539*T1^2*T2^8 + 652*T1^3*T2^8 - 
     2053*T1^4*T2^8 + 2703*T1^5*T2^8 + 1787*T1^6*T2^8 - 820*T1^7*T2^8 + 
     1752*T1^8*T2^8 - 484*T1^9*T2^8 - 201*T1^10*T2^8 + 985*T1^11*T2^8 + 
     4455*T1^12*T2^8 - 2544*T1^13*T2^8 + 741*T1^14*T2^8 + 600*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 165*T1^2*T2^9 - 1042*T1^3*T2^9 + 
     1005*T1^4*T2^9 + 30*T1^5*T2^9 - 3940*T1^6*T2^9 + 215*T1^7*T2^9 - 
     484*T1^8*T2^9 - 922*T1^9*T2^9 - 373*T1^10*T2^9 + 1412*T1^11*T2^9 - 
     6006*T1^12*T2^9 + 1053*T1^13*T2^9 + 608*T1^14*T2^9 - 1011*T1^15*T2^9 - 
     219*T1^16*T2^9 + 4*T1^2*T2^10 + 603*T1^3*T2^10 + 591*T1^4*T2^10 - 
     1859*T1^5*T2^10 + 3241*T1^6*T2^10 + 1824*T1^7*T2^10 - 201*T1^8*T2^10 - 
     373*T1^9*T2^10 + 3651*T1^10*T2^10 - 4764*T1^11*T2^10 + 
     6241*T1^12*T2^10 + 649*T1^13*T2^10 - 1185*T1^14*T2^10 + 
     675*T1^15*T2^10 + 532*T1^16*T2^10 - 137*T1^3*T2^11 - 786*T1^4*T2^11 + 
     432*T1^5*T2^11 + 997*T1^6*T2^11 - 4862*T1^7*T2^11 + 985*T1^8*T2^11 + 
     1412*T1^9*T2^11 - 4764*T1^10*T2^11 + 4569*T1^11*T2^11 - 
     3402*T1^12*T2^11 - 2381*T1^13*T2^11 + 933*T1^14*T2^11 + 
     168*T1^15*T2^11 - 817*T1^16*T2^11 + 311*T1^4*T2^12 + 438*T1^5*T2^12 - 
     1045*T1^6*T2^12 + 717*T1^7*T2^12 + 4455*T1^8*T2^12 - 6006*T1^9*T2^12 + 
     6241*T1^10*T2^12 - 3402*T1^11*T2^12 + 699*T1^12*T2^12 + 
     2349*T1^13*T2^12 + 311*T1^14*T2^12 - 1146*T1^15*T2^12 + 
     935*T1^16*T2^12 - 409*T1^5*T2^13 + 243*T1^6*T2^13 + 718*T1^7*T2^13 - 
     2544*T1^8*T2^13 + 1053*T1^9*T2^13 + 649*T1^10*T2^13 - 2381*T1^11*T2^13 + 
     2349*T1^12*T2^13 - 1338*T1^13*T2^13 - 1592*T1^14*T2^13 + 
     1683*T1^15*T2^13 - 817*T1^16*T2^13 + 356*T1^6*T2^14 - 777*T1^7*T2^14 + 
     741*T1^8*T2^14 + 608*T1^9*T2^14 - 1185*T1^10*T2^14 + 933*T1^11*T2^14 + 
     311*T1^12*T2^14 - 1592*T1^13*T2^14 + 2501*T1^14*T2^14 - 
     1569*T1^15*T2^14 + 532*T1^16*T2^14 - 183*T1^7*T2^15 + 600*T1^8*T2^15 - 
     1011*T1^9*T2^15 + 675*T1^10*T2^15 + 168*T1^11*T2^15 - 1146*T1^12*T2^15 + 
     1683*T1^13*T2^15 - 1569*T1^14*T2^15 + 798*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 532*T1^10*T2^16 - 
     817*T1^11*T2^16 + 935*T1^12*T2^16 - 817*T1^13*T2^16 + 532*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 241] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-45 + 199*T1 - 449*T1^2 + 577*T1^3 - 449*T1^4 + 199*T1^5 - 45*T1^6 + 
     199*T2 - 795*T1*T2 + 1605*T1^2*T2 - 1691*T1^3*T2 + 883*T1^4*T2 - 
     33*T1^5*T2 - 171*T1^6*T2 + 82*T1^7*T2 - 449*T2^2 + 1605*T1*T2^2 - 
     2714*T1^2*T2^2 + 1668*T1^3*T2^2 + 978*T1^4*T2^2 - 2508*T1^5*T2^2 + 
     1810*T1^6*T2^2 - 657*T1^7*T2^2 + 73*T1^8*T2^2 + 577*T2^3 - 
     1691*T1*T2^3 + 1668*T1^2*T2^3 + 1860*T1^3*T2^3 - 5834*T1^4*T2^3 + 
     5062*T1^5*T2^3 - 654*T1^6*T2^3 - 1957*T1^7*T2^3 + 1507*T1^8*T2^3 - 
     422*T1^9*T2^3 - 449*T2^4 + 883*T1*T2^4 + 978*T1^2*T2^4 - 
     5834*T1^3*T2^4 + 7802*T1^4*T2^4 - 1190*T1^5*T2^4 - 6238*T1^6*T2^4 + 
     6302*T1^7*T2^4 - 1436*T1^8*T2^4 - 755*T1^9*T2^4 + 595*T1^10*T2^4 + 
     199*T2^5 - 33*T1*T2^5 - 2508*T1^2*T2^5 + 5062*T1^3*T2^5 - 
     1190*T1^4*T2^5 - 11183*T1^5*T2^5 + 15253*T1^6*T2^5 - 6671*T1^7*T2^5 - 
     3354*T1^8*T2^5 + 3321*T1^9*T2^5 - 891*T1^10*T2^5 - 386*T1^11*T2^5 - 
     45*T2^6 - 171*T1*T2^6 + 1810*T1^2*T2^6 - 654*T1^3*T2^6 - 
     6238*T1^4*T2^6 + 15253*T1^5*T2^6 - 7368*T1^6*T2^6 - 8241*T1^7*T2^6 + 
     14048*T1^8*T2^6 - 4914*T1^9*T2^6 - 366*T1^10*T2^6 + 1155*T1^11*T2^6 + 
     117*T1^12*T2^6 + 82*T1*T2^7 - 657*T1^2*T2^7 - 1957*T1^3*T2^7 + 
     6302*T1^4*T2^7 - 6671*T1^5*T2^7 - 8241*T1^6*T2^7 + 18195*T1^7*T2^7 - 
     12152*T1^8*T2^7 - 2114*T1^9*T2^7 + 3872*T1^10*T2^7 - 1515*T1^11*T2^7 - 
     503*T1^12*T2^7 + 73*T1^2*T2^8 + 1507*T1^3*T2^8 - 1436*T1^4*T2^8 - 
     3354*T1^5*T2^8 + 14048*T1^6*T2^8 - 12152*T1^7*T2^8 + 8*T1^8*T2^8 + 
     8782*T1^9*T2^8 - 3850*T1^10*T2^8 - 131*T1^11*T2^8 + 1117*T1^12*T2^8 - 
     422*T1^3*T2^9 - 755*T1^4*T2^9 + 3321*T1^5*T2^9 - 4914*T1^6*T2^9 - 
     2114*T1^7*T2^9 + 8782*T1^8*T2^9 - 7428*T1^9*T2^9 - 304*T1^10*T2^9 + 
     2443*T1^11*T2^9 - 1421*T1^12*T2^9 + 595*T1^4*T2^10 - 891*T1^5*T2^10 - 
     366*T1^6*T2^10 + 3872*T1^7*T2^10 - 3850*T1^8*T2^10 - 304*T1^9*T2^10 + 
     4158*T1^10*T2^10 - 3153*T1^11*T2^10 + 1117*T1^12*T2^10 - 
     386*T1^5*T2^11 + 1155*T1^6*T2^11 - 1515*T1^7*T2^11 - 131*T1^8*T2^11 + 
     2443*T1^9*T2^11 - 3153*T1^10*T2^11 + 1779*T1^11*T2^11 - 
     503*T1^12*T2^11 + 117*T1^6*T2^12 - 503*T1^7*T2^12 + 1117*T1^8*T2^12 - 
     1421*T1^9*T2^12 + 1117*T1^10*T2^12 - 503*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 242] -> 
  {-((1 - 7*T + 22*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 205*T1^3 - 245*T1^4 + 205*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      819*T1^3*T2 + 567*T1^4*T2 - 63*T1^5*T2 - 378*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      651*T1^3*T2^2 + 1218*T1^4*T2^2 - 2421*T1^5*T2^2 + 2406*T1^6*T2^2 - 
      845*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      205*T2^3 - 819*T1*T2^3 + 651*T1^2*T2^3 + 2051*T1^3*T2^3 - 
      5723*T1^4*T2^3 + 4705*T1^5*T2^3 - 1406*T1^6*T2^3 - 2909*T1^7*T2^3 + 
      2751*T1^8*T2^3 - 823*T1^9*T2^3 - 112*T1^10*T2^3 + 82*T1^11*T2^3 - 
      245*T2^4 + 567*T1*T2^4 + 1218*T1^2*T2^4 - 5723*T1^3*T2^4 + 
      7109*T1^4*T2^4 + 1372*T1^5*T2^4 - 7685*T1^6*T2^4 + 10206*T1^7*T2^4 - 
      2999*T1^8*T2^4 - 1705*T1^9*T2^4 + 1512*T1^10*T2^4 - 231*T1^11*T2^4 - 
      49*T1^12*T2^4 + 205*T2^5 - 63*T1*T2^5 - 2421*T1^2*T2^5 + 
      4705*T1^3*T2^5 + 1372*T1^4*T2^5 - 15734*T1^5*T2^5 + 15193*T1^6*T2^5 - 
      7105*T1^7*T2^5 - 7922*T1^8*T2^5 + 8387*T1^9*T2^5 - 2312*T1^10*T2^5 - 
      630*T1^11*T2^5 + 343*T1^12*T2^5 - 110*T2^6 - 378*T1*T2^6 + 
      2406*T1^2*T2^6 - 1406*T1^3*T2^6 - 7685*T1^4*T2^6 + 15193*T1^5*T2^6 + 
      915*T1^6*T2^6 - 15181*T1^7*T2^6 + 22867*T1^8*T2^6 - 8419*T1^9*T2^6 - 
      3009*T1^10*T2^6 + 3346*T1^11*T2^6 - 570*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 845*T1^2*T2^7 - 
      2909*T1^3*T2^7 + 10206*T1^4*T2^7 - 7105*T1^5*T2^7 - 15181*T1^6*T2^7 + 
      20442*T1^7*T2^7 - 11828*T1^8*T2^7 - 8888*T1^9*T2^7 + 12565*T1^10*T2^7 - 
      4085*T1^11*T2^7 - 907*T1^12*T2^7 + 761*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2751*T1^3*T2^8 - 
      2999*T1^4*T2^8 - 7922*T1^5*T2^8 + 22867*T1^6*T2^8 - 11828*T1^7*T2^8 - 
      7056*T1^8*T2^8 + 19240*T1^9*T2^8 - 10391*T1^10*T2^8 - 2618*T1^11*T2^8 + 
      4397*T1^12*T2^8 - 1299*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 823*T1^3*T2^9 - 
      1705*T1^4*T2^9 + 8387*T1^5*T2^9 - 8419*T1^6*T2^9 - 8888*T1^7*T2^9 + 
      19240*T1^8*T2^9 - 13030*T1^9*T2^9 - 2595*T1^10*T2^9 + 
      11251*T1^11*T2^9 - 5904*T1^12*T2^9 + 297*T1^13*T2^9 + 783*T1^14*T2^9 - 
      161*T1^15*T2^9 - 21*T1^16*T2^9 - 66*T1^2*T2^10 - 112*T1^3*T2^10 + 
      1512*T1^4*T2^10 - 2312*T1^5*T2^10 - 3009*T1^6*T2^10 + 
      12565*T1^7*T2^10 - 10391*T1^8*T2^10 - 2595*T1^9*T2^10 + 
      11561*T1^10*T2^10 - 11047*T1^11*T2^10 + 1667*T1^12*T2^10 + 
      2440*T1^13*T2^10 - 1464*T1^14*T2^10 + 112*T1^15*T2^10 + 
      66*T1^16*T2^10 + 82*T1^3*T2^11 - 231*T1^4*T2^11 - 630*T1^5*T2^11 + 
      3346*T1^6*T2^11 - 4085*T1^7*T2^11 - 2618*T1^8*T2^11 + 
      11251*T1^9*T2^11 - 11047*T1^10*T2^11 + 5194*T1^11*T2^11 + 
      2930*T1^12*T2^11 - 3671*T1^13*T2^11 + 1161*T1^14*T2^11 + 
      175*T1^15*T2^11 - 123*T1^16*T2^11 - 49*T1^4*T2^12 + 343*T1^5*T2^12 - 
      570*T1^6*T2^12 - 907*T1^7*T2^12 + 4397*T1^8*T2^12 - 5904*T1^9*T2^12 + 
      1667*T1^10*T2^12 + 2930*T1^11*T2^12 - 5711*T1^12*T2^12 + 
      3111*T1^13*T2^12 - 276*T1^14*T2^12 - 455*T1^15*T2^12 + 
      147*T1^16*T2^12 - 154*T1^6*T2^13 + 761*T1^7*T2^13 - 1299*T1^8*T2^13 + 
      297*T1^9*T2^13 + 2440*T1^10*T2^13 - 3671*T1^11*T2^13 + 
      3111*T1^12*T2^13 - 599*T1^13*T2^13 - 713*T1^14*T2^13 + 
      553*T1^15*T2^13 - 123*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 783*T1^9*T2^14 - 1464*T1^10*T2^14 + 1161*T1^11*T2^14 - 
      276*T1^12*T2^14 - 713*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      112*T1^10*T2^15 + 175*T1^11*T2^15 - 455*T1^12*T2^15 + 553*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 123*T1^11*T2^16 + 147*T1^12*T2^16 - 
      123*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 243] -> 
  {-((2 - 12*T + 31*T^2 - 43*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-25 + 151*T1 - 391*T1^2 + 543*T1^3 - 391*T1^4 + 151*T1^5 - 25*T1^6 + 
      151*T2 - 810*T1*T2 + 1740*T1^2*T2 - 1664*T1^3*T2 + 112*T1^4*T2 + 
      708*T1^5*T2 - 474*T1^6*T2 + 103*T1^7*T2 - 391*T2^2 + 1740*T1*T2^2 - 
      2466*T1^2*T2^2 - 498*T1^3*T2^2 + 5342*T1^4*T2^2 - 4342*T1^5*T2^2 + 
      1130*T1^6*T2^2 + 252*T1^7*T2^2 - 143*T1^8*T2^2 + 543*T2^3 - 
      1664*T1*T2^3 - 498*T1^2*T2^3 + 8500*T1^3*T2^3 - 13276*T1^4*T2^3 + 
      3158*T1^5*T2^3 + 4114*T1^6*T2^3 - 3288*T1^7*T2^3 + 688*T1^8*T2^3 + 
      27*T1^9*T2^3 - 391*T2^4 + 112*T1*T2^4 + 5342*T1^2*T2^4 - 
      13276*T1^3*T2^4 + 7948*T1^4*T2^4 + 14060*T1^5*T2^4 - 16852*T1^6*T2^4 + 
      5988*T1^7*T2^4 + 646*T1^8*T2^4 - 800*T1^9*T2^4 + 105*T1^10*T2^4 + 
      151*T2^5 + 708*T1*T2^5 - 4342*T1^2*T2^5 + 3158*T1^3*T2^5 + 
      14060*T1^4*T2^5 - 33587*T1^5*T2^5 + 18747*T1^6*T2^5 + 3241*T1^7*T2^5 - 
      7616*T1^8*T2^5 + 2664*T1^9*T2^5 - 84*T1^10*T2^5 - 89*T1^11*T2^5 - 
      25*T2^6 - 474*T1*T2^6 + 1130*T1^2*T2^6 + 4114*T1^3*T2^6 - 
      16852*T1^4*T2^6 + 18747*T1^5*T2^6 + 7308*T1^6*T2^6 - 24419*T1^7*T2^6 + 
      14862*T1^8*T2^6 - 2126*T1^9*T2^6 - 1194*T1^10*T2^6 + 390*T1^11*T2^6 + 
      23*T1^12*T2^6 + 103*T1*T2^7 + 252*T1^2*T2^7 - 3288*T1^3*T2^7 + 
      5988*T1^4*T2^7 + 3241*T1^5*T2^7 - 24419*T1^6*T2^7 + 27915*T1^7*T2^7 - 
      7578*T1^8*T2^7 - 4786*T1^9*T2^7 + 3718*T1^10*T2^7 - 540*T1^11*T2^7 - 
      137*T1^12*T2^7 - 143*T1^2*T2^8 + 688*T1^3*T2^8 + 646*T1^4*T2^8 - 
      7616*T1^5*T2^8 + 14862*T1^6*T2^8 - 7578*T1^7*T2^8 - 9938*T1^8*T2^8 + 
      11648*T1^9*T2^8 - 4050*T1^10*T2^8 - 224*T1^11*T2^8 + 353*T1^12*T2^8 + 
      27*T1^3*T2^9 - 800*T1^4*T2^9 + 2664*T1^5*T2^9 - 2126*T1^6*T2^9 - 
      4786*T1^7*T2^9 + 11648*T1^8*T2^9 - 6512*T1^9*T2^9 - 126*T1^10*T2^9 + 
      1552*T1^11*T2^9 - 489*T1^12*T2^9 + 105*T1^4*T2^10 - 84*T1^5*T2^10 - 
      1194*T1^6*T2^10 + 3718*T1^7*T2^10 - 4050*T1^8*T2^10 - 126*T1^9*T2^10 + 
      2402*T1^10*T2^10 - 1572*T1^11*T2^10 + 353*T1^12*T2^10 - 89*T1^5*T2^11 + 
      390*T1^6*T2^11 - 540*T1^7*T2^11 - 224*T1^8*T2^11 + 1552*T1^9*T2^11 - 
      1572*T1^10*T2^11 + 726*T1^11*T2^11 - 137*T1^12*T2^11 + 23*T1^6*T2^12 - 
      137*T1^7*T2^12 + 353*T1^8*T2^12 - 489*T1^9*T2^12 + 353*T1^10*T2^12 - 
      137*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 244] -> 
  {(5 - 24*T + 56*T^2 - 73*T^3 + 56*T^4 - 24*T^5 + 5*T^6)/T^3, 
   (-230 + 1125*T1 - 2643*T1^2 + 3458*T1^3 - 2643*T1^4 + 1125*T1^5 - 
     230*T1^6 + 1125*T2 - 4960*T1*T2 + 10267*T1^2*T2 - 10680*T1^3*T2 + 
     4800*T1^4*T2 + 667*T1^5*T2 - 1480*T1^6*T2 + 525*T1^7*T2 - 2643*T2^2 + 
     10267*T1*T2^2 - 17146*T1^2*T2^2 + 8526*T1^3*T2^2 + 10774*T1^4*T2^2 - 
     18914*T1^5*T2^2 + 11414*T1^6*T2^2 - 3173*T1^7*T2^2 + 157*T1^8*T2^2 + 
     3458*T2^3 - 10680*T1*T2^3 + 8526*T1^2*T2^3 + 19763*T1^3*T2^3 - 
     48454*T1^4*T2^3 + 37322*T1^5*T2^3 - 2347*T1^6*T2^3 - 13818*T1^7*T2^3 + 
     8880*T1^8*T2^3 - 2017*T1^9*T2^3 - 2643*T2^4 + 4800*T1*T2^4 + 
     10774*T1^2*T2^4 - 48454*T1^3*T2^4 + 58538*T1^4*T2^4 - 1184*T1^5*T2^4 - 
     56038*T1^6*T2^4 + 48490*T1^7*T2^4 - 10602*T1^8*T2^4 - 4560*T1^9*T2^4 + 
     2957*T1^10*T2^4 + 1125*T2^5 + 667*T1*T2^5 - 18914*T1^2*T2^5 + 
     37322*T1^3*T2^5 - 1184*T1^4*T2^5 - 96590*T1^5*T2^5 + 125602*T1^6*T2^5 - 
     47328*T1^7*T2^5 - 26118*T1^8*T2^5 + 23814*T1^9*T2^5 - 5093*T1^10*T2^5 - 
     1875*T1^11*T2^5 - 230*T2^6 - 1480*T1*T2^6 + 11414*T1^2*T2^6 - 
     2347*T1^3*T2^6 - 56038*T1^4*T2^6 + 125602*T1^5*T2^6 - 64968*T1^6*T2^6 - 
     67822*T1^7*T2^6 + 104042*T1^8*T2^6 - 34801*T1^9*T2^6 - 4122*T1^10*T2^6 + 
     6440*T1^11*T2^6 + 520*T1^12*T2^6 + 525*T1*T2^7 - 3173*T1^2*T2^7 - 
     13818*T1^3*T2^7 + 48490*T1^4*T2^7 - 47328*T1^5*T2^7 - 67822*T1^6*T2^7 + 
     154370*T1^7*T2^7 - 93472*T1^8*T2^7 - 14950*T1^9*T2^7 + 
     28910*T1^10*T2^7 - 8933*T1^11*T2^7 - 2475*T1^12*T2^7 + 157*T1^2*T2^8 + 
     8880*T1^3*T2^8 - 10602*T1^4*T2^8 - 26118*T1^5*T2^8 + 104042*T1^6*T2^8 - 
     93472*T1^7*T2^8 - 10534*T1^8*T2^8 + 70826*T1^9*T2^8 - 31978*T1^10*T2^8 - 
     480*T1^11*T2^8 + 5757*T1^12*T2^8 - 2017*T1^3*T2^9 - 4560*T1^4*T2^9 + 
     23814*T1^5*T2^9 - 34801*T1^6*T2^9 - 14950*T1^7*T2^9 + 70826*T1^8*T2^9 - 
     56911*T1^9*T2^9 + 1470*T1^10*T2^9 + 15000*T1^11*T2^9 - 7492*T1^12*T2^9 + 
     2957*T1^4*T2^10 - 5093*T1^5*T2^10 - 4122*T1^6*T2^10 + 28910*T1^7*T2^10 - 
     31978*T1^8*T2^10 + 1470*T1^9*T2^10 + 24438*T1^10*T2^10 - 
     18533*T1^11*T2^10 + 5757*T1^12*T2^10 - 1875*T1^5*T2^11 + 
     6440*T1^6*T2^11 - 8933*T1^7*T2^11 - 480*T1^8*T2^11 + 15000*T1^9*T2^11 - 
     18533*T1^10*T2^11 + 9920*T1^11*T2^11 - 2475*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2475*T1^7*T2^12 + 5757*T1^8*T2^12 - 7492*T1^9*T2^12 + 
     5757*T1^10*T2^12 - 2475*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 245] -> 
  {((1 - 3*T + 6*T^2 - 4*T^3 + T^4)*(1 - 4*T + 6*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 196*T1^3 - 252*T1^4 + 196*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 868*T1^3*T2 + 
     735*T1^4*T2 - 49*T1^5*T2 - 357*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1324*T1^2*T2^2 + 1514*T1^3*T2^2 + 
     2*T1^4*T2^2 - 2210*T1^5*T2^2 + 1874*T1^6*T2^2 - 502*T1^7*T2^2 - 
     220*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 196*T2^3 - 868*T1*T2^3 + 
     1514*T1^2*T2^3 + 199*T1^3*T2^3 - 4663*T1^4*T2^3 + 6912*T1^5*T2^3 - 
     1173*T1^6*T2^3 - 2689*T1^7*T2^3 + 2341*T1^8*T2^3 - 670*T1^9*T2^3 - 
     7*T1^10*T2^3 + 49*T1^11*T2^3 - 252*T2^4 + 735*T1*T2^4 + 2*T1^2*T2^4 - 
     4663*T1^3*T2^4 + 9318*T1^4*T2^4 - 4094*T1^5*T2^4 - 11996*T1^6*T2^4 + 
     12076*T1^7*T2^4 - 3870*T1^8*T2^4 - 1233*T1^9*T2^4 + 1248*T1^10*T2^4 - 
     343*T1^11*T2^4 + 196*T2^5 - 49*T1*T2^5 - 2210*T1^2*T2^5 + 
     6912*T1^3*T2^5 - 4094*T1^4*T2^5 - 14020*T1^5*T2^5 + 31733*T1^6*T2^5 - 
     10995*T1^7*T2^5 - 8532*T1^8*T2^5 + 10165*T1^9*T2^5 - 3427*T1^10*T2^5 - 
     5*T1^11*T2^5 + 343*T1^12*T2^5 - 49*T1^13*T2^5 - 96*T2^6 - 357*T1*T2^6 + 
     1874*T1^2*T2^6 - 1173*T1^3*T2^6 - 11996*T1^4*T2^6 + 31733*T1^5*T2^6 - 
     26944*T1^6*T2^6 - 22520*T1^7*T2^6 + 36680*T1^8*T2^6 - 17267*T1^9*T2^6 - 
     600*T1^10*T2^6 + 3531*T1^11*T2^6 - 1250*T1^12*T2^6 + 7*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 502*T1^2*T2^7 - 2689*T1^3*T2^7 + 
     12076*T1^4*T2^7 - 10995*T1^5*T2^7 - 22520*T1^6*T2^7 + 69186*T1^7*T2^7 - 
     44662*T1^8*T2^7 - 3305*T1^9*T2^7 + 19189*T1^10*T2^7 - 9827*T1^11*T2^7 + 
     1161*T1^12*T2^7 + 674*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 220*T1^2*T2^8 + 2341*T1^3*T2^8 - 3870*T1^4*T2^8 - 
     8532*T1^5*T2^8 + 36680*T1^6*T2^8 - 44662*T1^7*T2^8 - 10932*T1^8*T2^8 + 
     52554*T1^9*T2^8 - 36370*T1^10*T2^8 + 7148*T1^11*T2^8 + 3910*T1^12*T2^8 - 
     2321*T1^13*T2^8 + 218*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 670*T1^3*T2^9 - 1233*T1^4*T2^9 + 
     10165*T1^5*T2^9 - 17267*T1^6*T2^9 - 3305*T1^7*T2^9 + 52554*T1^8*T2^9 - 
     61294*T1^9*T2^9 + 15910*T1^10*T2^9 + 12917*T1^11*T2^9 - 
     11738*T1^12*T2^9 + 2617*T1^13*T2^9 + 506*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 - 7*T1^3*T2^10 + 1248*T1^4*T2^10 - 
     3427*T1^5*T2^10 - 600*T1^6*T2^10 + 19189*T1^7*T2^10 - 36370*T1^8*T2^10 + 
     15910*T1^9*T2^10 + 27254*T1^10*T2^10 - 29811*T1^11*T2^10 + 
     10796*T1^12*T2^10 + 1277*T1^13*T2^10 - 1876*T1^14*T2^10 + 
     357*T1^15*T2^10 + 96*T1^16*T2^10 + 49*T1^3*T2^11 - 343*T1^4*T2^11 - 
     5*T1^5*T2^11 + 3531*T1^6*T2^11 - 9827*T1^7*T2^11 + 7148*T1^8*T2^11 + 
     12917*T1^9*T2^11 - 29811*T1^10*T2^11 + 12636*T1^11*T2^11 + 
     4432*T1^12*T2^11 - 6808*T1^13*T2^11 + 2200*T1^14*T2^11 + 
     49*T1^15*T2^11 - 196*T1^16*T2^11 + 343*T1^5*T2^12 - 1250*T1^6*T2^12 + 
     1161*T1^7*T2^12 + 3910*T1^8*T2^12 - 11738*T1^9*T2^12 + 
     10796*T1^10*T2^12 + 4432*T1^11*T2^12 - 9278*T1^12*T2^12 + 
     4591*T1^13*T2^12 - 4*T1^14*T2^12 - 735*T1^15*T2^12 + 252*T1^16*T2^12 - 
     49*T1^5*T2^13 + 7*T1^6*T2^13 + 674*T1^7*T2^13 - 2321*T1^8*T2^13 + 
     2617*T1^9*T2^13 + 1277*T1^10*T2^13 - 6808*T1^11*T2^13 + 
     4591*T1^12*T2^13 - 179*T1^13*T2^13 - 1510*T1^14*T2^13 + 
     868*T1^15*T2^13 - 196*T1^16*T2^13 + 48*T1^6*T2^14 - 189*T1^7*T2^14 + 
     218*T1^8*T2^14 + 506*T1^9*T2^14 - 1876*T1^10*T2^14 + 2200*T1^11*T2^14 - 
     4*T1^12*T2^14 - 1510*T1^13*T2^14 + 1322*T1^14*T2^14 - 525*T1^15*T2^14 + 
     96*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 
     357*T1^10*T2^15 + 49*T1^11*T2^15 - 735*T1^12*T2^15 + 868*T1^13*T2^15 - 
     525*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 96*T1^10*T2^16 - 196*T1^11*T2^16 + 252*T1^12*T2^16 - 
     196*T1^13*T2^16 + 96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 246] -> 
  {(1 - 7*T + 20*T^2 - 31*T^3 + 35*T^4 - 31*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 120*T1^2 + 186*T1^3 - 210*T1^4 + 186*T1^5 - 120*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 595*T1^2*T2 - 602*T1^3*T2 + 
     385*T1^4*T2 - 77*T1^5*T2 - 245*T1^6*T2 + 406*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 120*T2^2 + 595*T1*T2^2 - 770*T1^2*T2^2 - 598*T1^3*T2^2 + 
     1765*T1^4*T2^2 - 2342*T1^5*T2^2 + 2365*T1^6*T2^2 - 1558*T1^7*T2^2 - 
     10*T1^8*T2^2 + 315*T1^9*T2^2 - 80*T1^10*T2^2 + 186*T2^3 - 602*T1*T2^3 - 
     598*T1^2*T2^3 + 4343*T1^3*T2^3 - 4638*T1^4*T2^3 + 3239*T1^5*T2^3 - 
     1258*T1^6*T2^3 - 1404*T1^7*T2^3 + 3539*T1^8*T2^3 - 1338*T1^9*T2^3 - 
     91*T1^10*T2^3 + 93*T1^11*T2^3 - 210*T2^4 + 385*T1*T2^4 + 
     1765*T1^2*T2^4 - 4638*T1^3*T2^4 - 970*T1^4*T2^4 + 5552*T1^5*T2^4 - 
     7832*T1^6*T2^4 + 8702*T1^7*T2^4 - 6626*T1^8*T2^4 - 732*T1^9*T2^4 + 
     1527*T1^10*T2^4 - 161*T1^11*T2^4 - 70*T1^12*T2^4 + 186*T2^5 - 
     77*T1*T2^5 - 2342*T1^2*T2^5 + 3239*T1^3*T2^5 + 5552*T1^4*T2^5 - 
     6824*T1^5*T2^5 + 4897*T1^6*T2^5 - 2723*T1^7*T2^5 - 1114*T1^8*T2^5 + 
     6907*T1^9*T2^5 - 1696*T1^10*T2^5 - 917*T1^11*T2^5 + 273*T1^12*T2^5 + 
     31*T1^13*T2^5 - 120*T2^6 - 245*T1*T2^6 + 2365*T1^2*T2^6 - 
     1258*T1^3*T2^6 - 7832*T1^4*T2^6 + 4897*T1^5*T2^6 - 1753*T1^6*T2^6 + 
     927*T1^7*T2^6 + 695*T1^8*T2^6 - 2911*T1^9*T2^6 - 3940*T1^10*T2^6 + 
     2582*T1^11*T2^6 + 89*T1^12*T2^6 - 217*T1^13*T2^6 + 42*T2^7 + 
     406*T1*T2^7 - 1558*T1^2*T2^7 - 1404*T1^3*T2^7 + 8702*T1^4*T2^7 - 
     2723*T1^5*T2^7 + 927*T1^6*T2^7 - 2708*T1^7*T2^7 + 2034*T1^8*T2^7 - 
     438*T1^9*T2^7 + 4521*T1^10*T2^7 + 167*T1^11*T2^7 - 1950*T1^12*T2^7 + 
     502*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     10*T1^2*T2^8 + 3539*T1^3*T2^8 - 6626*T1^4*T2^8 - 1114*T1^5*T2^8 + 
     695*T1^6*T2^8 + 2034*T1^7*T2^8 + 132*T1^8*T2^8 - 2006*T1^9*T2^8 + 
     13*T1^10*T2^8 - 4154*T1^11*T2^8 + 3086*T1^12*T2^8 - 107*T1^13*T2^8 - 
     308*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     315*T1^2*T2^9 - 1338*T1^3*T2^9 - 732*T1^4*T2^9 + 6907*T1^5*T2^9 - 
     2911*T1^6*T2^9 - 438*T1^7*T2^9 - 2006*T1^8*T2^9 + 2736*T1^9*T2^9 - 
     1803*T1^10*T2^9 + 4333*T1^11*T2^9 - 1628*T1^12*T2^9 - 1278*T1^13*T2^9 + 
     722*T1^14*T2^9 - 42*T1^15*T2^9 - 14*T1^16*T2^9 - 80*T1^2*T2^10 - 
     91*T1^3*T2^10 + 1527*T1^4*T2^10 - 1696*T1^5*T2^10 - 3940*T1^6*T2^10 + 
     4521*T1^7*T2^10 + 13*T1^8*T2^10 - 1803*T1^9*T2^10 + 2461*T1^10*T2^10 - 
     3287*T1^11*T2^10 - 48*T1^12*T2^10 + 2144*T1^13*T2^10 - 749*T1^14*T2^10 - 
     63*T1^15*T2^10 + 40*T1^16*T2^10 + 93*T1^3*T2^11 - 161*T1^4*T2^11 - 
     917*T1^5*T2^11 + 2582*T1^6*T2^11 + 167*T1^7*T2^11 - 4154*T1^8*T2^11 + 
     4333*T1^9*T2^11 - 3287*T1^10*T2^11 + 1556*T1^11*T2^11 + 
     1522*T1^12*T2^11 - 2353*T1^13*T2^11 + 508*T1^14*T2^11 + 
     189*T1^15*T2^11 - 62*T1^16*T2^11 - 70*T1^4*T2^12 + 273*T1^5*T2^12 + 
     89*T1^6*T2^12 - 1950*T1^7*T2^12 + 3086*T1^8*T2^12 - 1628*T1^9*T2^12 - 
     48*T1^10*T2^12 + 1522*T1^11*T2^12 - 2570*T1^12*T2^12 + 
     1956*T1^13*T2^12 - 149*T1^14*T2^12 - 273*T1^15*T2^12 + 70*T1^16*T2^12 + 
     31*T1^5*T2^13 - 217*T1^6*T2^13 + 502*T1^7*T2^13 - 107*T1^8*T2^13 - 
     1278*T1^9*T2^13 + 2144*T1^10*T2^13 - 2353*T1^11*T2^13 + 
     1956*T1^12*T2^13 - 911*T1^13*T2^13 - 238*T1^14*T2^13 + 294*T1^15*T2^13 - 
     62*T1^16*T2^13 + 49*T1^7*T2^14 - 308*T1^8*T2^14 + 722*T1^9*T2^14 - 
     749*T1^10*T2^14 + 508*T1^11*T2^14 - 149*T1^12*T2^14 - 238*T1^13*T2^14 + 
     452*T1^14*T2^14 - 231*T1^15*T2^14 + 40*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 42*T1^9*T2^15 - 63*T1^10*T2^15 + 189*T1^11*T2^15 - 
     273*T1^12*T2^15 + 294*T1^13*T2^15 - 231*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 40*T1^10*T2^16 - 
     62*T1^11*T2^16 + 70*T1^12*T2^16 - 62*T1^13*T2^16 + 40*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 247] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-33 + 231*T1 - 643*T1^2 + 873*T1^3 - 643*T1^4 + 231*T1^5 - 33*T1^6 + 
     231*T2 - 1442*T1*T2 + 3276*T1^2*T2 - 2702*T1^3*T2 - 126*T1^4*T2 + 
     1792*T1^5*T2 - 994*T1^6*T2 + 175*T1^7*T2 - 643*T2^2 + 3276*T1*T2^2 - 
     4309*T1^2*T2^2 - 4415*T1^3*T2^2 + 13241*T1^4*T2^2 - 10499*T1^5*T2^2 + 
     1463*T1^6*T2^2 + 1092*T1^7*T2^2 - 331*T1^8*T2^2 + 873*T2^3 - 
     2702*T1*T2^3 - 4415*T1^2*T2^3 + 26874*T1^3*T2^3 - 29414*T1^4*T2^3 + 
     3964*T1^5*T2^3 + 15426*T1^6*T2^3 - 8081*T1^7*T2^3 + 658*T1^8*T2^3 + 
     237*T1^9*T2^3 - 643*T2^4 - 126*T1*T2^4 + 13241*T1^2*T2^4 - 
     29414*T1^3*T2^4 - 2767*T1^4*T2^4 + 50269*T1^5*T2^4 - 49099*T1^6*T2^4 + 
     8958*T1^7*T2^4 + 4633*T1^8*T2^4 - 1526*T1^9*T2^4 - 19*T1^10*T2^4 + 
     231*T2^5 + 1792*T1*T2^5 - 10499*T1^2*T2^5 + 3964*T1^3*T2^5 + 
     50269*T1^4*T2^5 - 76291*T1^5*T2^5 + 29299*T1^6*T2^5 + 25348*T1^7*T2^5 - 
     19426*T1^8*T2^5 + 2839*T1^9*T2^5 + 476*T1^10*T2^5 - 49*T1^11*T2^5 - 
     33*T2^6 - 994*T1*T2^6 + 1463*T1^2*T2^6 + 15426*T1^3*T2^6 - 
     49099*T1^4*T2^6 + 29299*T1^5*T2^6 + 35688*T1^6*T2^6 - 60667*T1^7*T2^6 + 
     22839*T1^8*T2^6 + 2142*T1^9*T2^6 - 2493*T1^10*T2^6 + 238*T1^11*T2^6 + 
     15*T1^12*T2^6 + 175*T1*T2^7 + 1092*T1^2*T2^7 - 8081*T1^3*T2^7 + 
     8958*T1^4*T2^7 + 25348*T1^5*T2^7 - 60667*T1^6*T2^7 + 44923*T1^7*T2^7 + 
     427*T1^8*T2^7 - 14432*T1^9*T2^7 + 5257*T1^10*T2^7 - 224*T1^11*T2^7 - 
     105*T1^12*T2^7 - 331*T1^2*T2^8 + 658*T1^3*T2^8 + 4633*T1^4*T2^8 - 
     19426*T1^5*T2^8 + 22839*T1^6*T2^8 + 427*T1^7*T2^8 - 23493*T1^8*T2^8 + 
     18946*T1^9*T2^8 - 3975*T1^10*T2^8 - 742*T1^11*T2^8 + 293*T1^12*T2^8 + 
     237*T1^3*T2^9 - 1526*T1^4*T2^9 + 2839*T1^5*T2^9 + 2142*T1^6*T2^9 - 
     14432*T1^7*T2^9 + 18946*T1^8*T2^9 - 9306*T1^9*T2^9 - 827*T1^10*T2^9 + 
     1834*T1^11*T2^9 - 399*T1^12*T2^9 - 19*T1^4*T2^10 + 476*T1^5*T2^10 - 
     2493*T1^6*T2^10 + 5257*T1^7*T2^10 - 3975*T1^8*T2^10 - 827*T1^9*T2^10 + 
     3279*T1^10*T2^10 - 1708*T1^11*T2^10 + 293*T1^12*T2^10 - 49*T1^5*T2^11 + 
     238*T1^6*T2^11 - 224*T1^7*T2^11 - 742*T1^8*T2^11 + 1834*T1^9*T2^11 - 
     1708*T1^10*T2^11 + 686*T1^11*T2^11 - 105*T1^12*T2^11 + 15*T1^6*T2^12 - 
     105*T1^7*T2^12 + 293*T1^8*T2^12 - 399*T1^9*T2^12 + 293*T1^10*T2^12 - 
     105*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 248] -> 
  {-(((1 - 3*T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3), 
   -((-23 + 149*T1 - 388*T1^2 + 535*T1^3 - 388*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1885*T1^2*T2 - 1835*T1^3*T2 + 271*T1^4*T2 + 
      663*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 388*T2^2 + 1885*T1*T2^2 - 
      2606*T1^2*T2^2 - 748*T1^3*T2^2 + 5988*T1^4*T2^2 - 5372*T1^5*T2^2 + 
      1746*T1^6*T2^2 + 117*T1^7*T2^2 - 116*T1^8*T2^2 + 535*T2^3 - 
      1835*T1*T2^3 - 748*T1^2*T2^3 + 10060*T1^3*T2^3 - 16001*T1^4*T2^3 + 
      6547*T1^5*T2^3 + 3104*T1^6*T2^3 - 3706*T1^7*T2^3 + 947*T1^8*T2^3 - 
      29*T1^9*T2^3 - 388*T2^4 + 271*T1*T2^4 + 5988*T1^2*T2^4 - 
      16001*T1^3*T2^4 + 12032*T1^4*T2^4 + 11000*T1^5*T2^4 - 20812*T1^6*T2^4 + 
      10319*T1^7*T2^4 - 650*T1^8*T2^4 - 821*T1^9*T2^4 + 156*T1^10*T2^4 + 
      149*T2^5 + 663*T1*T2^5 - 5372*T1^2*T2^5 + 6547*T1^3*T2^5 + 
      11000*T1^4*T2^5 - 36628*T1^5*T2^5 + 32438*T1^6*T2^5 - 3552*T1^7*T2^5 - 
      8457*T1^8*T2^5 + 4250*T1^9*T2^5 - 299*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1746*T1^2*T2^6 + 3104*T1^3*T2^6 - 
      20812*T1^4*T2^6 + 32438*T1^5*T2^6 - 10560*T1^6*T2^6 - 24850*T1^7*T2^6 + 
      22216*T1^8*T2^6 - 5096*T1^9*T2^6 - 1602*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 117*T1^2*T2^7 - 3706*T1^3*T2^7 + 
      10319*T1^4*T2^7 - 3552*T1^5*T2^7 - 24850*T1^6*T2^7 + 44216*T1^7*T2^7 - 
      18104*T1^8*T2^7 - 4685*T1^9*T2^7 + 5916*T1^10*T2^7 - 845*T1^11*T2^7 - 
      163*T1^12*T2^7 - 116*T1^2*T2^8 + 947*T1^3*T2^8 - 650*T1^4*T2^8 - 
      8457*T1^5*T2^8 + 22216*T1^6*T2^8 - 18104*T1^7*T2^8 - 10628*T1^8*T2^8 + 
      17863*T1^9*T2^8 - 7288*T1^10*T2^8 - 145*T1^11*T2^8 + 428*T1^12*T2^8 - 
      29*T1^3*T2^9 - 821*T1^4*T2^9 + 4250*T1^5*T2^9 - 5096*T1^6*T2^9 - 
      4685*T1^7*T2^9 + 17863*T1^8*T2^9 - 12052*T1^9*T2^9 + 1292*T1^10*T2^9 + 
      1961*T1^11*T2^9 - 593*T1^12*T2^9 + 156*T1^4*T2^10 - 299*T1^5*T2^10 - 
      1602*T1^6*T2^10 + 5916*T1^7*T2^10 - 7288*T1^8*T2^10 + 1292*T1^9*T2^10 + 
      2750*T1^10*T2^10 - 2067*T1^11*T2^10 + 428*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 845*T1^7*T2^11 - 145*T1^8*T2^11 + 
      1961*T1^9*T2^11 - 2067*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 428*T1^8*T2^12 - 
      593*T1^9*T2^12 + 428*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 249] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 97*T1 - 268*T1^2 + 365*T1^3 - 268*T1^4 + 97*T1^5 - 15*T1^6 + 
     97*T2 - 582*T1*T2 + 1443*T1^2*T2 - 1563*T1^3*T2 + 647*T1^4*T2 + 
     169*T1^5*T2 - 192*T1^6*T2 + 45*T1^7*T2 - 268*T2^2 + 1443*T1*T2^2 - 
     2917*T1^2*T2^2 + 1322*T1^3*T2^2 + 2491*T1^4*T2^2 - 3862*T1^5*T2^2 + 
     1979*T1^6*T2^2 - 429*T1^7*T2^2 + 20*T1^8*T2^2 + 365*T2^3 - 
     1563*T1*T2^3 + 1322*T1^2*T2^3 + 5744*T1^3*T2^3 - 13839*T1^4*T2^3 + 
     11535*T1^5*T2^3 - 2194*T1^6*T2^3 - 2242*T1^7*T2^3 + 1323*T1^8*T2^3 - 
     223*T1^9*T2^3 - 268*T2^4 + 647*T1*T2^4 + 2491*T1^2*T2^4 - 
     13839*T1^3*T2^4 + 20267*T1^4*T2^4 - 4143*T1^5*T2^4 - 15805*T1^6*T2^4 + 
     15365*T1^7*T2^4 - 3703*T1^8*T2^4 - 549*T1^9*T2^4 + 308*T1^10*T2^4 + 
     97*T2^5 + 169*T1*T2^5 - 3862*T1^2*T2^5 + 11535*T1^3*T2^5 - 
     4143*T1^4*T2^5 - 32790*T1^5*T2^5 + 50304*T1^6*T2^5 - 23655*T1^7*T2^5 - 
     6179*T1^8*T2^5 + 6182*T1^9*T2^5 - 949*T1^10*T2^5 - 163*T1^11*T2^5 - 
     15*T2^6 - 192*T1*T2^6 + 1979*T1^2*T2^6 - 2194*T1^3*T2^6 - 
     15805*T1^4*T2^6 + 50304*T1^5*T2^6 - 34488*T1^6*T2^6 - 20336*T1^7*T2^6 + 
     40063*T1^8*T2^6 - 12730*T1^9*T2^6 - 761*T1^10*T2^6 + 848*T1^11*T2^6 + 
     33*T1^12*T2^6 + 45*T1*T2^7 - 429*T1^2*T2^7 - 2242*T1^3*T2^7 + 
     15365*T1^4*T2^7 - 23655*T1^5*T2^7 - 20336*T1^6*T2^7 + 62758*T1^7*T2^7 - 
     43167*T1^8*T2^7 - 2349*T1^9*T2^7 + 7802*T1^10*T2^7 - 1547*T1^11*T2^7 - 
     215*T1^12*T2^7 + 20*T1^2*T2^8 + 1323*T1^3*T2^8 - 3703*T1^4*T2^8 - 
     6179*T1^5*T2^8 + 40063*T1^6*T2^8 - 43167*T1^7*T2^8 + 3991*T1^8*T2^8 + 
     23025*T1^9*T2^8 - 9897*T1^10*T2^8 + 127*T1^11*T2^8 + 596*T1^12*T2^8 - 
     223*T1^3*T2^9 - 549*T1^4*T2^9 + 6182*T1^5*T2^9 - 12730*T1^6*T2^9 - 
     2349*T1^7*T2^9 + 23025*T1^8*T2^9 - 20668*T1^9*T2^9 + 2618*T1^10*T2^9 + 
     2337*T1^11*T2^9 - 811*T1^12*T2^9 + 308*T1^4*T2^10 - 949*T1^5*T2^10 - 
     761*T1^6*T2^10 + 7802*T1^7*T2^10 - 9897*T1^8*T2^10 + 2618*T1^9*T2^10 + 
     4135*T1^10*T2^10 - 2821*T1^11*T2^10 + 596*T1^12*T2^10 - 163*T1^5*T2^11 + 
     848*T1^6*T2^11 - 1547*T1^7*T2^11 + 127*T1^8*T2^11 + 2337*T1^9*T2^11 - 
     2821*T1^10*T2^11 + 1238*T1^11*T2^11 - 215*T1^12*T2^11 + 33*T1^6*T2^12 - 
     215*T1^7*T2^12 + 596*T1^8*T2^12 - 811*T1^9*T2^12 + 596*T1^10*T2^12 - 
     215*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 250] -> 
  {(1 - 7*T + 20*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 120*T1^2 + 192*T1^3 - 222*T1^4 + 192*T1^5 - 120*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 595*T1^2*T2 - 644*T1^3*T2 + 
     434*T1^4*T2 - 49*T1^5*T2 - 280*T1^6*T2 + 406*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 120*T2^2 + 595*T1*T2^2 - 770*T1^2*T2^2 - 479*T1^3*T2^2 + 
     1771*T1^4*T2^2 - 2632*T1^5*T2^2 + 2451*T1^6*T2^2 - 1479*T1^7*T2^2 - 
     10*T1^8*T2^2 + 315*T1^9*T2^2 - 80*T1^10*T2^2 + 192*T2^3 - 644*T1*T2^3 - 
     479*T1^2*T2^3 + 3972*T1^3*T2^3 - 4760*T1^4*T2^3 + 3752*T1^5*T2^3 - 
     916*T1^6*T2^3 - 1704*T1^7*T2^3 + 3360*T1^8*T2^3 - 1279*T1^9*T2^3 - 
     112*T1^10*T2^3 + 96*T1^11*T2^3 - 222*T2^4 + 434*T1*T2^4 + 
     1771*T1^2*T2^4 - 4760*T1^3*T2^4 + 475*T1^4*T2^4 + 3911*T1^5*T2^4 - 
     7787*T1^6*T2^4 + 7827*T1^7*T2^4 - 5397*T1^8*T2^4 - 984*T1^9*T2^4 + 
     1595*T1^10*T2^4 - 154*T1^11*T2^4 - 74*T1^12*T2^4 + 192*T2^5 - 
     49*T1*T2^5 - 2632*T1^2*T2^5 + 3752*T1^3*T2^5 + 3911*T1^4*T2^5 - 
     6135*T1^5*T2^5 + 6145*T1^6*T2^5 - 1931*T1^7*T2^5 - 1763*T1^8*T2^5 + 
     6352*T1^9*T2^5 - 1548*T1^10*T2^5 - 1033*T1^11*T2^5 + 294*T1^12*T2^5 + 
     32*T1^13*T2^5 - 120*T2^6 - 280*T1*T2^6 + 2451*T1^2*T2^6 - 
     916*T1^3*T2^6 - 7787*T1^4*T2^6 + 6145*T1^5*T2^6 - 3674*T1^6*T2^6 - 
     576*T1^7*T2^6 + 1366*T1^8*T2^6 - 2439*T1^9*T2^6 - 3899*T1^10*T2^6 + 
     2804*T1^11*T2^6 + 59*T1^12*T2^6 - 224*T1^13*T2^6 + 42*T2^7 + 
     406*T1*T2^7 - 1479*T1^2*T2^7 - 1704*T1^3*T2^7 + 7827*T1^4*T2^7 - 
     1931*T1^5*T2^7 - 576*T1^6*T2^7 + 1429*T1^7*T2^7 + 1065*T1^8*T2^7 - 
     1368*T1^9*T2^7 + 5129*T1^10*T2^7 - 514*T1^11*T2^7 - 1880*T1^12*T2^7 + 
     521*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     10*T1^2*T2^8 + 3360*T1^3*T2^8 - 5397*T1^4*T2^8 - 1763*T1^5*T2^8 + 
     1366*T1^6*T2^8 + 1065*T1^7*T2^8 - 3000*T1^8*T2^8 + 1411*T1^9*T2^8 - 
     1482*T1^10*T2^8 - 3429*T1^11*T2^8 + 3155*T1^12*T2^8 - 168*T1^13*T2^8 - 
     308*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     315*T1^2*T2^9 - 1279*T1^3*T2^9 - 984*T1^4*T2^9 + 6352*T1^5*T2^9 - 
     2439*T1^6*T2^9 - 1368*T1^7*T2^9 + 1411*T1^8*T2^9 + 1047*T1^9*T2^9 - 
     2160*T1^10*T2^9 + 4621*T1^11*T2^9 - 1989*T1^12*T2^9 - 1160*T1^13*T2^9 + 
     721*T1^14*T2^9 - 42*T1^15*T2^9 - 14*T1^16*T2^9 - 80*T1^2*T2^10 - 
     112*T1^3*T2^10 + 1595*T1^4*T2^10 - 1548*T1^5*T2^10 - 3899*T1^6*T2^10 + 
     5129*T1^7*T2^10 - 1482*T1^8*T2^10 - 2160*T1^9*T2^10 + 3558*T1^10*T2^10 - 
     3455*T1^11*T2^10 - 11*T1^12*T2^10 + 2172*T1^13*T2^10 - 797*T1^14*T2^10 - 
     56*T1^15*T2^10 + 40*T1^16*T2^10 + 96*T1^3*T2^11 - 154*T1^4*T2^11 - 
     1033*T1^5*T2^11 + 2804*T1^6*T2^11 - 514*T1^7*T2^11 - 3429*T1^8*T2^11 + 
     4621*T1^9*T2^11 - 3455*T1^10*T2^11 + 943*T1^11*T2^11 + 
     1927*T1^12*T2^11 - 2496*T1^13*T2^11 + 566*T1^14*T2^11 + 
     189*T1^15*T2^11 - 64*T1^16*T2^11 - 74*T1^4*T2^12 + 294*T1^5*T2^12 + 
     59*T1^6*T2^12 - 1880*T1^7*T2^12 + 3155*T1^8*T2^12 - 1989*T1^9*T2^12 - 
     11*T1^10*T2^12 + 1927*T1^11*T2^12 - 2717*T1^12*T2^12 + 
     1896*T1^13*T2^12 - 117*T1^14*T2^12 - 294*T1^15*T2^12 + 74*T1^16*T2^12 + 
     32*T1^5*T2^13 - 224*T1^6*T2^13 + 521*T1^7*T2^13 - 168*T1^8*T2^13 - 
     1160*T1^9*T2^13 + 2172*T1^10*T2^13 - 2496*T1^11*T2^13 + 
     1896*T1^12*T2^13 - 780*T1^13*T2^13 - 279*T1^14*T2^13 + 308*T1^15*T2^13 - 
     64*T1^16*T2^13 + 49*T1^7*T2^14 - 308*T1^8*T2^14 + 721*T1^9*T2^14 - 
     797*T1^10*T2^14 + 566*T1^11*T2^14 - 117*T1^12*T2^14 - 279*T1^13*T2^14 + 
     452*T1^14*T2^14 - 231*T1^15*T2^14 + 40*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 42*T1^9*T2^15 - 56*T1^10*T2^15 + 189*T1^11*T2^15 - 
     294*T1^12*T2^15 + 308*T1^13*T2^15 - 231*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 40*T1^10*T2^16 - 
     64*T1^11*T2^16 + 74*T1^12*T2^16 - 64*T1^13*T2^16 + 40*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 251] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-33 + 231*T1 - 627*T1^2 + 841*T1^3 - 627*T1^4 + 231*T1^5 - 33*T1^6 + 
     231*T2 - 1442*T1*T2 + 3164*T1^2*T2 - 2562*T1^3*T2 - 70*T1^4*T2 + 
     1708*T1^5*T2 - 994*T1^6*T2 + 175*T1^7*T2 - 627*T2^2 + 3164*T1*T2^2 - 
     3685*T1^2*T2^2 - 4933*T1^3*T2^2 + 13023*T1^4*T2^2 - 10557*T1^5*T2^2 + 
     1787*T1^6*T2^2 + 1036*T1^7*T2^2 - 323*T1^8*T2^2 + 841*T2^3 - 
     2562*T1*T2^3 - 4933*T1^2*T2^3 + 25820*T1^3*T2^3 - 27236*T1^4*T2^3 + 
     4200*T1^5*T2^3 + 14374*T1^6*T2^3 - 8049*T1^7*T2^3 + 658*T1^8*T2^3 + 
     229*T1^9*T2^3 - 627*T2^4 - 70*T1*T2^4 + 13023*T1^2*T2^4 - 
     27236*T1^3*T2^4 - 2853*T1^4*T2^4 + 44499*T1^5*T2^4 - 44745*T1^6*T2^4 + 
     8668*T1^7*T2^4 + 4583*T1^8*T2^4 - 1470*T1^9*T2^4 - 19*T1^10*T2^4 + 
     231*T2^5 + 1708*T1*T2^5 - 10557*T1^2*T2^5 + 4200*T1^3*T2^5 + 
     44499*T1^4*T2^5 - 65980*T1^5*T2^5 + 25750*T1^6*T2^5 + 22991*T1^7*T2^5 - 
     18300*T1^8*T2^5 + 2591*T1^9*T2^5 + 476*T1^10*T2^5 - 49*T1^11*T2^5 - 
     33*T2^6 - 994*T1*T2^6 + 1787*T1^2*T2^6 + 14374*T1^3*T2^6 - 
     44745*T1^4*T2^6 + 25750*T1^5*T2^6 + 30816*T1^6*T2^6 - 53218*T1^7*T2^6 + 
     20151*T1^8*T2^6 + 2510*T1^9*T2^6 - 2501*T1^10*T2^6 + 238*T1^11*T2^6 + 
     15*T1^12*T2^6 + 175*T1*T2^7 + 1036*T1^2*T2^7 - 8049*T1^3*T2^7 + 
     8668*T1^4*T2^7 + 22991*T1^5*T2^7 - 53218*T1^6*T2^7 + 38512*T1^7*T2^7 + 
     1483*T1^8*T2^7 - 13832*T1^9*T2^7 + 5099*T1^10*T2^7 - 196*T1^11*T2^7 - 
     105*T1^12*T2^7 - 323*T1^2*T2^8 + 658*T1^3*T2^8 + 4583*T1^4*T2^8 - 
     18300*T1^5*T2^8 + 20151*T1^6*T2^8 + 1483*T1^7*T2^8 - 21741*T1^8*T2^8 + 
     17604*T1^9*T2^8 - 3857*T1^10*T2^8 - 742*T1^11*T2^8 + 285*T1^12*T2^8 + 
     229*T1^3*T2^9 - 1470*T1^4*T2^9 + 2591*T1^5*T2^9 + 2510*T1^6*T2^9 - 
     13832*T1^7*T2^9 + 17604*T1^8*T2^9 - 8936*T1^9*T2^9 - 525*T1^10*T2^9 + 
     1750*T1^11*T2^9 - 383*T1^12*T2^9 - 19*T1^4*T2^10 + 476*T1^5*T2^10 - 
     2501*T1^6*T2^10 + 5099*T1^7*T2^10 - 3857*T1^8*T2^10 - 525*T1^9*T2^10 + 
     2971*T1^10*T2^10 - 1652*T1^11*T2^10 + 285*T1^12*T2^10 - 49*T1^5*T2^11 + 
     238*T1^6*T2^11 - 196*T1^7*T2^11 - 742*T1^8*T2^11 + 1750*T1^9*T2^11 - 
     1652*T1^10*T2^11 + 686*T1^11*T2^11 - 105*T1^12*T2^11 + 15*T1^6*T2^12 - 
     105*T1^7*T2^12 + 285*T1^8*T2^12 - 383*T1^9*T2^12 + 285*T1^10*T2^12 - 
     105*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 252] -> 
  {-((2 - 9*T + 17*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 17*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-57 + 255*T1 - 478*T1^2 + 672*T1^3 - 755*T1^4 + 672*T1^5 - 
      478*T1^6 + 255*T1^7 - 57*T1^8 + 255*T2 - 924*T1*T2 + 1167*T1^2*T2 - 
      1182*T1^3*T2 + 807*T1^4*T2 - 111*T1^5*T2 - 444*T1^6*T2 + 699*T1^7*T2 - 
      726*T1^8*T2 + 219*T1^9*T2 - 478*T2^2 + 1167*T1*T2^2 + 16*T1^2*T2^2 - 
      1079*T1^3*T2^2 + 2430*T1^4*T2^2 - 3418*T1^5*T2^2 + 3110*T1^6*T2^2 - 
      2099*T1^7*T2^2 + 1036*T1^8*T2^2 + 555*T1^9*T2^2 - 342*T1^10*T2^2 + 
      672*T2^3 - 1182*T1*T2^3 - 1079*T1^2*T2^3 + 1229*T1^3*T2^3 - 
      1848*T1^4*T2^3 + 1685*T1^5*T2^3 - 214*T1^6*T2^3 - 759*T1^7*T2^3 + 
      995*T1^8*T2^3 - 1844*T1^9*T2^3 - 192*T1^10*T2^3 + 384*T1^11*T2^3 - 
      755*T2^4 + 807*T1*T2^4 + 2430*T1^2*T2^4 - 1848*T1^3*T2^4 + 
      3447*T1^4*T2^4 - 3779*T1^5*T2^4 + 2843*T1^6*T2^4 - 2699*T1^7*T2^4 + 
      2367*T1^8*T2^4 - 552*T1^9*T2^4 + 2214*T1^10*T2^4 - 273*T1^11*T2^4 - 
      323*T1^12*T2^4 + 672*T2^5 - 111*T1*T2^5 - 3418*T1^2*T2^5 + 
      1685*T1^3*T2^5 - 3779*T1^4*T2^5 + 3219*T1^5*T2^5 - 1667*T1^6*T2^5 + 
      1174*T1^7*T2^5 - 57*T1^8*T2^5 - 1913*T1^9*T2^5 - 460*T1^10*T2^5 - 
      1753*T1^11*T2^5 + 591*T1^12*T2^5 + 192*T1^13*T2^5 - 478*T2^6 - 
      444*T1*T2^6 + 3110*T1^2*T2^6 - 214*T1^3*T2^6 + 2843*T1^4*T2^6 - 
      1667*T1^5*T2^6 + 531*T1^6*T2^6 - 695*T1^7*T2^6 - 189*T1^8*T2^6 + 
      1267*T1^9*T2^6 + 1385*T1^10*T2^6 + 1316*T1^11*T2^6 + 638*T1^12*T2^6 - 
      552*T1^13*T2^6 - 70*T1^14*T2^6 + 255*T2^7 + 699*T1*T2^7 - 
      2099*T1^2*T2^7 - 759*T1^3*T2^7 - 2699*T1^4*T2^7 + 1174*T1^5*T2^7 - 
      695*T1^6*T2^7 + 1219*T1^7*T2^7 - 149*T1^8*T2^7 - 443*T1^9*T2^7 - 
      1481*T1^10*T2^7 - 1421*T1^11*T2^7 - 1020*T1^12*T2^7 + 196*T1^13*T2^7 + 
      303*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 726*T1*T2^8 + 
      1036*T1^2*T2^8 + 995*T1^3*T2^8 + 2367*T1^4*T2^8 - 57*T1^5*T2^8 - 
      189*T1^6*T2^8 - 149*T1^7*T2^8 - 1104*T1^8*T2^8 + 1033*T1^9*T2^8 + 
      311*T1^10*T2^8 + 1833*T1^11*T2^8 + 851*T1^12*T2^8 + 389*T1^13*T2^8 - 
      482*T1^14*T2^8 - 42*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 
      555*T1^2*T2^9 - 1844*T1^3*T2^9 - 552*T1^4*T2^9 - 1913*T1^5*T2^9 + 
      1267*T1^6*T2^9 - 443*T1^7*T2^9 + 1033*T1^8*T2^9 - 335*T1^9*T2^9 - 
      191*T1^10*T2^9 - 1388*T1^11*T2^9 - 635*T1^12*T2^9 - 813*T1^13*T2^9 + 
      451*T1^14*T2^9 + 159*T1^15*T2^9 - 33*T1^16*T2^9 - 342*T1^2*T2^10 - 
      192*T1^3*T2^10 + 2214*T1^4*T2^10 - 460*T1^5*T2^10 + 1385*T1^6*T2^10 - 
      1481*T1^7*T2^10 + 311*T1^8*T2^10 - 191*T1^9*T2^10 - 409*T1^10*T2^10 + 
      1453*T1^11*T2^10 - 73*T1^12*T2^10 + 1070*T1^13*T2^10 - 
      258*T1^14*T2^10 - 300*T1^15*T2^10 + 66*T1^16*T2^10 + 384*T1^3*T2^11 - 
      273*T1^4*T2^11 - 1753*T1^5*T2^11 + 1316*T1^6*T2^11 - 1421*T1^7*T2^11 + 
      1833*T1^8*T2^11 - 1388*T1^9*T2^11 + 1453*T1^10*T2^11 - 
      1443*T1^11*T2^11 + 445*T1^12*T2^11 - 829*T1^13*T2^11 - 88*T1^14*T2^11 + 
      429*T1^15*T2^11 - 96*T1^16*T2^11 - 323*T1^4*T2^12 + 591*T1^5*T2^12 + 
      638*T1^6*T2^12 - 1020*T1^7*T2^12 + 851*T1^8*T2^12 - 635*T1^9*T2^12 - 
      73*T1^10*T2^12 + 445*T1^11*T2^12 - 229*T1^12*T2^12 + 276*T1^13*T2^12 + 
      422*T1^14*T2^12 - 489*T1^15*T2^12 + 109*T1^16*T2^12 + 192*T1^5*T2^13 - 
      552*T1^6*T2^13 + 196*T1^7*T2^13 + 389*T1^8*T2^13 - 813*T1^9*T2^13 + 
      1070*T1^10*T2^13 - 829*T1^11*T2^13 + 276*T1^12*T2^13 + 
      155*T1^13*T2^13 - 569*T1^14*T2^13 + 438*T1^15*T2^13 - 96*T1^16*T2^13 - 
      70*T1^6*T2^14 + 303*T1^7*T2^14 - 482*T1^8*T2^14 + 451*T1^9*T2^14 - 
      258*T1^10*T2^14 - 88*T1^11*T2^14 + 422*T1^12*T2^14 - 569*T1^13*T2^14 + 
      538*T1^14*T2^14 - 309*T1^15*T2^14 + 66*T1^16*T2^14 + 3*T1^7*T2^15 - 
      42*T1^8*T2^15 + 159*T1^9*T2^15 - 300*T1^10*T2^15 + 429*T1^11*T2^15 - 
      489*T1^12*T2^15 + 438*T1^13*T2^15 - 309*T1^14*T2^15 + 156*T1^15*T2^15 - 
      33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 66*T1^10*T2^16 - 
      96*T1^11*T2^16 + 109*T1^12*T2^16 - 96*T1^13*T2^16 + 66*T1^14*T2^16 - 
      33*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 253] -> 
  {-((4 - 19*T + 36*T^2 - 43*T^3 + 36*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-336 + 1584*T1 - 2976*T1^2 + 3544*T1^3 - 2976*T1^4 + 1584*T1^5 - 
      336*T1^6 + 1584*T2 - 6200*T1*T2 + 8044*T1^2*T2 - 5436*T1^3*T2 + 
      568*T1^4*T2 + 3864*T1^5*T2 - 4452*T1^6*T2 + 1280*T1^7*T2 - 2976*T2^2 + 
      8044*T1*T2^2 + 129*T1^2*T2^2 - 13516*T1^3*T2^2 + 21449*T1^4*T2^2 - 
      20428*T1^5*T2^2 + 9345*T1^6*T2^2 + 2572*T1^7*T2^2 - 1824*T1^8*T2^2 + 
      3544*T2^3 - 5436*T1*T2^3 - 13516*T1^2*T2^3 + 24950*T1^3*T2^3 - 
      19916*T1^4*T2^3 + 5740*T1^5*T2^3 + 11582*T1^6*T2^3 - 16360*T1^7*T2^3 + 
      1632*T1^8*T2^3 + 1480*T1^9*T2^3 - 2976*T2^4 + 568*T1*T2^4 + 
      21449*T1^2*T2^4 - 19916*T1^3*T2^4 + 3279*T1^4*T2^4 + 10717*T1^5*T2^4 - 
      17505*T1^6*T2^4 + 7604*T1^7*T2^4 + 11139*T1^8*T2^4 - 3840*T1^9*T2^4 - 
      672*T1^10*T2^4 + 1584*T2^5 + 3864*T1*T2^5 - 20428*T1^2*T2^5 + 
      5740*T1^3*T2^5 + 10717*T1^4*T2^5 - 12420*T1^5*T2^5 + 5752*T1^6*T2^5 + 
      8341*T1^7*T2^5 - 16188*T1^8*T2^5 - 1312*T1^9*T2^5 + 2876*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4452*T1*T2^6 + 9345*T1^2*T2^6 + 
      11582*T1^3*T2^6 - 17505*T1^4*T2^6 + 5752*T1^5*T2^6 + 5484*T1^6*T2^6 - 
      12072*T1^7*T2^6 + 6803*T1^8*T2^6 + 10190*T1^9*T2^6 - 4267*T1^10*T2^6 - 
      500*T1^11*T2^6 + 48*T1^12*T2^6 + 1280*T1*T2^7 + 2572*T1^2*T2^7 - 
      16360*T1^3*T2^7 + 7604*T1^4*T2^7 + 8341*T1^5*T2^7 - 12072*T1^6*T2^7 + 
      6100*T1^7*T2^7 + 5965*T1^8*T2^7 - 14324*T1^9*T2^7 + 2756*T1^10*T2^7 + 
      1584*T1^11*T2^7 - 240*T1^12*T2^7 - 1824*T1^2*T2^8 + 1632*T1^3*T2^8 + 
      11139*T1^4*T2^8 - 16188*T1^5*T2^8 + 6803*T1^6*T2^8 + 5965*T1^7*T2^8 - 
      13981*T1^8*T2^8 + 11332*T1^9*T2^8 + 829*T1^10*T2^8 - 2776*T1^11*T2^8 + 
      480*T1^12*T2^8 + 1480*T1^3*T2^9 - 3840*T1^4*T2^9 - 1312*T1^5*T2^9 + 
      10190*T1^6*T2^9 - 14324*T1^7*T2^9 + 11332*T1^8*T2^9 - 3178*T1^9*T2^9 - 
      4156*T1^10*T2^9 + 3228*T1^11*T2^9 - 584*T1^12*T2^9 - 672*T1^4*T2^10 + 
      2876*T1^5*T2^10 - 4267*T1^6*T2^10 + 2756*T1^7*T2^10 + 829*T1^8*T2^10 - 
      4156*T1^9*T2^10 + 4949*T1^10*T2^10 - 2596*T1^11*T2^10 + 
      480*T1^12*T2^10 + 64*T1^5*T2^11 - 500*T1^6*T2^11 + 1584*T1^7*T2^11 - 
      2776*T1^8*T2^11 + 3228*T1^9*T2^11 - 2596*T1^10*T2^11 + 
      1248*T1^11*T2^11 - 240*T1^12*T2^11 + 48*T1^6*T2^12 - 240*T1^7*T2^12 + 
      480*T1^8*T2^12 - 584*T1^9*T2^12 + 480*T1^10*T2^12 - 240*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 254] -> 
  {-((3 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-144 + 620*T1 - 996*T1^2 + 1090*T1^3 - 996*T1^4 + 620*T1^5 - 144*T1^6 + 
      620*T2 - 2169*T1*T2 + 2131*T1^2*T2 - 1225*T1^3*T2 + 491*T1^4*T2 + 
      805*T1^5*T2 - 1545*T1^6*T2 + 503*T1^7*T2 - 996*T2^2 + 2131*T1*T2^2 + 
      1805*T1^2*T2^2 - 4851*T1^3*T2^2 + 5367*T1^4*T2^2 - 6111*T1^5*T2^2 + 
      4073*T1^6*T2^2 + 493*T1^7*T2^2 - 618*T1^8*T2^2 + 1090*T2^3 - 
      1225*T1*T2^3 - 4851*T1^2*T2^3 + 5222*T1^3*T2^3 - 2692*T1^4*T2^3 + 
      2282*T1^5*T2^3 + 1322*T1^6*T2^3 - 4830*T1^7*T2^3 + 647*T1^8*T2^3 + 
      469*T1^9*T2^3 - 996*T2^4 + 491*T1*T2^4 + 5367*T1^2*T2^4 - 
      2692*T1^3*T2^4 - 103*T1^4*T2^4 - 843*T1^5*T2^4 - 1547*T1^6*T2^4 + 
      2276*T1^7*T2^4 + 2885*T1^8*T2^4 - 991*T1^9*T2^4 - 240*T1^10*T2^4 + 
      620*T2^5 + 805*T1*T2^5 - 6111*T1^2*T2^5 + 2282*T1^3*T2^5 - 
      843*T1^4*T2^5 + 2835*T1^5*T2^5 - 639*T1^6*T2^5 - 66*T1^7*T2^5 - 
      2704*T1^8*T2^5 - 1008*T1^9*T2^5 + 883*T1^10*T2^5 + 35*T1^11*T2^5 - 
      144*T2^6 - 1545*T1*T2^6 + 4073*T1^2*T2^6 + 1322*T1^3*T2^6 - 
      1547*T1^4*T2^6 - 639*T1^5*T2^6 - 1752*T1^6*T2^6 + 2007*T1^7*T2^6 - 
      85*T1^8*T2^6 + 2810*T1^9*T2^6 - 935*T1^10*T2^6 - 219*T1^11*T2^6 + 
      18*T1^12*T2^6 + 503*T1*T2^7 + 493*T1^2*T2^7 - 4830*T1^3*T2^7 + 
      2276*T1^4*T2^7 - 66*T1^5*T2^7 + 2007*T1^6*T2^7 - 1467*T1^7*T2^7 + 
      711*T1^8*T2^7 - 2710*T1^9*T2^7 + 273*T1^10*T2^7 + 571*T1^11*T2^7 - 
      82*T1^12*T2^7 - 618*T1^2*T2^8 + 647*T1^3*T2^8 + 2885*T1^4*T2^8 - 
      2704*T1^5*T2^8 - 85*T1^6*T2^8 + 711*T1^7*T2^8 - 1529*T1^8*T2^8 + 
      2264*T1^9*T2^8 + 403*T1^10*T2^8 - 835*T1^11*T2^8 + 138*T1^12*T2^8 + 
      469*T1^3*T2^9 - 991*T1^4*T2^9 - 1008*T1^5*T2^9 + 2810*T1^6*T2^9 - 
      2710*T1^7*T2^9 + 2264*T1^8*T2^9 - 1090*T1^9*T2^9 - 987*T1^10*T2^9 + 
      881*T1^11*T2^9 - 152*T1^12*T2^9 - 240*T1^4*T2^10 + 883*T1^5*T2^10 - 
      935*T1^6*T2^10 + 273*T1^7*T2^10 + 403*T1^8*T2^10 - 987*T1^9*T2^10 + 
      1333*T1^10*T2^10 - 755*T1^11*T2^10 + 138*T1^12*T2^10 + 35*T1^5*T2^11 - 
      219*T1^6*T2^11 + 571*T1^7*T2^11 - 835*T1^8*T2^11 + 881*T1^9*T2^11 - 
      755*T1^10*T2^11 + 405*T1^11*T2^11 - 82*T1^12*T2^11 + 18*T1^6*T2^12 - 
      82*T1^7*T2^12 + 138*T1^8*T2^12 - 152*T1^9*T2^12 + 138*T1^10*T2^12 - 
      82*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 255] -> {-((6 - 27*T + 41*T^2 - 27*T^3 + 6*T^4)/T^2), 
   -((-747 + 3333*T1 - 5035*T1^2 + 3333*T1^3 - 747*T1^4 + 3333*T2 - 
      12522*T1*T2 + 11984*T1^2*T2 + 968*T1^3*T2 - 7176*T1^4*T2 + 
      2361*T1^5*T2 - 5035*T2^2 + 11984*T1*T2^2 + 10591*T1^2*T2^2 - 
      38695*T1^3*T2^2 + 27811*T1^4*T2^2 - 1300*T1^5*T2^2 - 2083*T1^6*T2^2 + 
      3333*T2^3 + 968*T1*T2^3 - 38695*T1^2*T2^3 + 51223*T1^3*T2^3 - 
      8015*T1^4*T2^3 - 22090*T1^5*T2^3 + 7448*T1^6*T2^3 + 417*T1^7*T2^3 - 
      747*T2^4 - 7176*T1*T2^4 + 27811*T1^2*T2^4 - 8015*T1^3*T2^4 - 
      37968*T1^4*T2^4 + 39127*T1^5*T2^4 - 5651*T1^6*T2^4 - 2316*T1^7*T2^4 + 
      117*T1^8*T2^4 + 2361*T1*T2^5 - 1300*T1^2*T2^5 - 22090*T1^3*T2^5 + 
      39127*T1^4*T2^5 - 20111*T1^5*T2^5 - 5485*T1^6*T2^5 + 5180*T1^7*T2^5 - 
      555*T1^8*T2^5 - 2083*T1^2*T2^6 + 7448*T1^3*T2^6 - 5651*T1^4*T2^6 - 
      5485*T1^5*T2^6 + 11569*T1^6*T2^6 - 5836*T1^7*T2^6 + 869*T1^8*T2^6 + 
      417*T1^3*T2^7 - 2316*T1^4*T2^7 + 5180*T1^5*T2^7 - 5836*T1^6*T2^7 + 
      3030*T1^7*T2^7 - 555*T1^8*T2^7 + 117*T1^4*T2^8 - 555*T1^5*T2^8 + 
      869*T1^6*T2^8 - 555*T1^7*T2^8 + 117*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 256] -> 
  {(3 - 20*T + 52*T^2 - 69*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (-111 + 739*T1 - 1915*T1^2 + 2535*T1^3 - 1915*T1^4 + 739*T1^5 - 111*T1^6 + 
     739*T2 - 4362*T1*T2 + 9036*T1^2*T2 - 7255*T1^3*T2 + 5*T1^4*T2 + 
     4716*T1^5*T2 - 2982*T1^6*T2 + 559*T1^7*T2 - 1915*T2^2 + 9036*T1*T2^2 - 
     9348*T1^2*T2^2 - 13613*T1^3*T2^2 + 34688*T1^4*T2^2 - 28901*T1^5*T2^2 + 
     5940*T1^6*T2^2 + 2796*T1^7*T2^2 - 979*T1^8*T2^2 + 2535*T2^3 - 
     7255*T1*T2^3 - 13613*T1^2*T2^3 + 64897*T1^3*T2^3 - 68301*T1^4*T2^3 + 
     12827*T1^5*T2^3 + 34729*T1^6*T2^3 - 21985*T1^7*T2^3 + 2045*T1^8*T2^3 + 
     672*T1^9*T2^3 - 1915*T2^4 + 5*T1*T2^4 + 34688*T1^2*T2^4 - 
     68301*T1^3*T2^4 - 728*T1^4*T2^4 + 98334*T1^5*T2^4 - 105392*T1^6*T2^4 + 
     23883*T1^7*T2^4 + 11936*T1^8*T2^4 - 4195*T1^9*T2^4 - 43*T1^10*T2^4 + 
     739*T2^5 + 4716*T1*T2^5 - 28901*T1^2*T2^5 + 12827*T1^3*T2^5 + 
     98334*T1^4*T2^5 - 150804*T1^5*T2^5 + 65604*T1^6*T2^5 + 49038*T1^7*T2^5 - 
     46189*T1^8*T2^5 + 7135*T1^9*T2^5 + 1356*T1^10*T2^5 - 161*T1^11*T2^5 - 
     111*T2^6 - 2982*T1*T2^6 + 5940*T1^2*T2^6 + 34729*T1^3*T2^6 - 
     105392*T1^4*T2^6 + 65604*T1^5*T2^6 + 62196*T1^6*T2^6 - 
     122068*T1^7*T2^6 + 52008*T1^8*T2^6 + 6043*T1^9*T2^6 - 7028*T1^10*T2^6 + 
     738*T1^11*T2^6 + 51*T1^12*T2^6 + 559*T1*T2^7 + 2796*T1^2*T2^7 - 
     21985*T1^3*T2^7 + 23883*T1^4*T2^7 + 49038*T1^5*T2^7 - 122068*T1^6*T2^7 + 
     94340*T1^7*T2^7 - 258*T1^8*T2^7 - 35133*T1^9*T2^7 + 14051*T1^10*T2^7 - 
     564*T1^11*T2^7 - 341*T1^12*T2^7 - 979*T1^2*T2^8 + 2045*T1^3*T2^8 + 
     11936*T1^4*T2^8 - 46189*T1^5*T2^8 + 52008*T1^6*T2^8 - 258*T1^7*T2^8 - 
     52656*T1^8*T2^8 + 45995*T1^9*T2^8 - 10816*T1^10*T2^8 - 2155*T1^11*T2^8 + 
     893*T1^12*T2^8 + 672*T1^3*T2^9 - 4195*T1^4*T2^9 + 7135*T1^5*T2^9 + 
     6043*T1^6*T2^9 - 35133*T1^7*T2^9 + 45995*T1^8*T2^9 - 24125*T1^9*T2^9 - 
     1237*T1^10*T2^9 + 5105*T1^11*T2^9 - 1191*T1^12*T2^9 - 43*T1^4*T2^10 + 
     1356*T1^5*T2^10 - 7028*T1^6*T2^10 + 14051*T1^7*T2^10 - 
     10816*T1^8*T2^10 - 1237*T1^9*T2^10 + 8260*T1^10*T2^10 - 
     4884*T1^11*T2^10 + 893*T1^12*T2^10 - 161*T1^5*T2^11 + 738*T1^6*T2^11 - 
     564*T1^7*T2^11 - 2155*T1^8*T2^11 + 5105*T1^9*T2^11 - 4884*T1^10*T2^11 + 
     2118*T1^11*T2^11 - 341*T1^12*T2^11 + 51*T1^6*T2^12 - 341*T1^7*T2^12 + 
     893*T1^8*T2^12 - 1191*T1^9*T2^12 + 893*T1^10*T2^12 - 341*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 257] -> 
  {(2 - 16*T + 46*T^2 - 63*T^3 + 46*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-33 + 263*T1 - 753*T1^2 + 1029*T1^3 - 753*T1^4 + 263*T1^5 - 33*T1^6 + 
     263*T2 - 1898*T1*T2 + 4422*T1^2*T2 - 3676*T1^3*T2 - 188*T1^4*T2 + 
     2438*T1^5*T2 - 1322*T1^6*T2 + 199*T1^7*T2 - 753*T2^2 + 4422*T1*T2^2 - 
     5024*T1^2*T2^2 - 9320*T1^3*T2^2 + 23086*T1^4*T2^2 - 17968*T1^5*T2^2 + 
     3072*T1^6*T2^2 + 1478*T1^7*T2^2 - 385*T1^8*T2^2 + 1029*T2^3 - 
     3676*T1*T2^3 - 9320*T1^2*T2^3 + 46464*T1^3*T2^3 - 49962*T1^4*T2^3 + 
     6826*T1^5*T2^3 + 25402*T1^6*T2^3 - 13460*T1^7*T2^3 + 900*T1^8*T2^3 + 
     273*T1^9*T2^3 - 753*T2^4 - 188*T1*T2^4 + 23086*T1^2*T2^4 - 
     49962*T1^3*T2^4 - 4065*T1^4*T2^4 + 84489*T1^5*T2^4 - 82625*T1^6*T2^4 + 
     15558*T1^7*T2^4 + 7758*T1^8*T2^4 - 2044*T1^9*T2^4 - 17*T1^10*T2^4 + 
     263*T2^5 + 2438*T1*T2^5 - 17968*T1^2*T2^5 + 6826*T1^3*T2^5 + 
     84489*T1^4*T2^5 - 130126*T1^5*T2^5 + 51740*T1^6*T2^5 + 40973*T1^7*T2^5 - 
     32498*T1^8*T2^5 + 4204*T1^9*T2^5 + 582*T1^10*T2^5 - 57*T1^11*T2^5 - 
     33*T2^6 - 1322*T1*T2^6 + 3072*T1^2*T2^6 + 25402*T1^3*T2^6 - 
     82625*T1^4*T2^6 + 51740*T1^5*T2^6 + 57780*T1^6*T2^6 - 102492*T1^7*T2^6 + 
     40175*T1^8*T2^6 + 3282*T1^9*T2^6 - 3744*T1^10*T2^6 + 342*T1^11*T2^6 + 
     15*T1^12*T2^6 + 199*T1*T2^7 + 1478*T1^2*T2^7 - 13460*T1^3*T2^7 + 
     15558*T1^4*T2^7 + 40973*T1^5*T2^7 - 102492*T1^6*T2^7 + 79374*T1^7*T2^7 - 
     2543*T1^8*T2^7 - 23766*T1^9*T2^7 + 8712*T1^10*T2^7 - 378*T1^11*T2^7 - 
     121*T1^12*T2^7 - 385*T1^2*T2^8 + 900*T1^3*T2^8 + 7758*T1^4*T2^8 - 
     32498*T1^5*T2^8 + 40175*T1^6*T2^8 - 2543*T1^7*T2^8 - 38385*T1^8*T2^8 + 
     33022*T1^9*T2^8 - 7570*T1^10*T2^8 - 956*T1^11*T2^8 + 351*T1^12*T2^8 + 
     273*T1^3*T2^9 - 2044*T1^4*T2^9 + 4204*T1^5*T2^9 + 3282*T1^6*T2^9 - 
     23766*T1^7*T2^9 + 33022*T1^8*T2^9 - 17780*T1^9*T2^9 + 64*T1^10*T2^9 + 
     2532*T1^11*T2^9 - 483*T1^12*T2^9 - 17*T1^4*T2^10 + 582*T1^5*T2^10 - 
     3744*T1^6*T2^10 + 8712*T1^7*T2^10 - 7570*T1^8*T2^10 + 64*T1^9*T2^10 + 
     4352*T1^10*T2^10 - 2362*T1^11*T2^10 + 351*T1^12*T2^10 - 57*T1^5*T2^11 + 
     342*T1^6*T2^11 - 378*T1^7*T2^11 - 956*T1^8*T2^11 + 2532*T1^9*T2^11 - 
     2362*T1^10*T2^11 + 918*T1^11*T2^11 - 121*T1^12*T2^11 + 15*T1^6*T2^12 - 
     121*T1^7*T2^12 + 351*T1^8*T2^12 - 483*T1^9*T2^12 + 351*T1^10*T2^12 - 
     121*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 258] -> 
  {((1 - 3*T + 4*T^2 - 4*T^3 + T^4)*(1 - 4*T + 4*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 140*T1^3 - 172*T1^4 + 140*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 560*T1^3*T2 + 
     469*T1^4*T2 - 77*T1^5*T2 - 175*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 612*T1^2*T2^2 + 145*T1^3*T2^2 + 
     893*T1^4*T2^2 - 2104*T1^5*T2^2 + 1813*T1^6*T2^2 - 975*T1^7*T2^2 + 
     148*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 140*T2^3 - 560*T1*T2^3 + 
     145*T1^2*T2^3 + 1555*T1^3*T2^3 - 3289*T1^4*T2^3 + 4034*T1^5*T2^3 - 
     1111*T1^6*T2^3 - 839*T1^7*T2^3 + 1555*T1^8*T2^3 - 835*T1^9*T2^3 + 
     35*T1^10*T2^3 + 35*T1^11*T2^3 - 172*T2^4 + 469*T1*T2^4 + 893*T1^2*T2^4 - 
     3289*T1^3*T2^4 + 4014*T1^4*T2^4 - 2545*T1^5*T2^4 - 3366*T1^6*T2^4 + 
     3909*T1^7*T2^4 - 2482*T1^8*T2^4 + T1^9*T2^4 + 903*T1^10*T2^4 - 
     245*T1^11*T2^4 + 140*T2^5 - 77*T1*T2^5 - 2104*T1^2*T2^5 + 
     4034*T1^3*T2^5 - 2545*T1^4*T2^5 - 878*T1^5*T2^5 + 6930*T1^6*T2^5 - 
     2730*T1^7*T2^5 - 1228*T1^8*T2^5 + 3538*T1^9*T2^5 - 2301*T1^10*T2^5 + 
     17*T1^11*T2^5 + 245*T1^12*T2^5 - 35*T1^13*T2^5 - 80*T2^6 - 175*T1*T2^6 + 
     1813*T1^2*T2^6 - 1111*T1^3*T2^6 - 3366*T1^4*T2^6 + 6930*T1^5*T2^6 - 
     8807*T1^6*T2^6 - 1331*T1^7*T2^6 + 5593*T1^8*T2^6 - 4270*T1^9*T2^6 + 
     174*T1^10*T2^6 + 2249*T1^11*T2^6 - 927*T1^12*T2^6 - 35*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 975*T1^2*T2^7 - 839*T1^3*T2^7 + 
     3909*T1^4*T2^7 - 2730*T1^5*T2^7 - 1331*T1^6*T2^7 + 11310*T1^7*T2^7 - 
     9088*T1^8*T2^7 + 664*T1^9*T2^7 + 3850*T1^10*T2^7 - 3658*T1^11*T2^7 + 
     71*T1^12*T2^7 + 845*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 148*T1^2*T2^8 + 1555*T1^3*T2^8 - 2482*T1^4*T2^8 - 
     1228*T1^5*T2^8 + 5593*T1^6*T2^8 - 9088*T1^7*T2^8 + 1332*T1^8*T2^8 + 
     7992*T1^9*T2^8 - 5937*T1^10*T2^8 + 1684*T1^11*T2^8 + 2422*T1^12*T2^8 - 
     1595*T1^13*T2^8 - 150*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 835*T1^3*T2^9 + T1^4*T2^9 + 
     3538*T1^5*T2^9 - 4270*T1^6*T2^9 + 664*T1^7*T2^9 + 7992*T1^8*T2^9 - 
     12406*T1^9*T2^9 + 2659*T1^10*T2^9 + 2310*T1^11*T2^9 - 4029*T1^12*T2^9 + 
     911*T1^13*T2^9 + 985*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 35*T1^3*T2^10 + 903*T1^4*T2^10 - 2301*T1^5*T2^10 + 
     174*T1^6*T2^10 + 3850*T1^7*T2^10 - 5937*T1^8*T2^10 + 2659*T1^9*T2^10 + 
     8463*T1^10*T2^10 - 7350*T1^11*T2^10 + 3714*T1^12*T2^10 + 
     1059*T1^13*T2^10 - 1837*T1^14*T2^10 + 175*T1^15*T2^10 + 80*T1^16*T2^10 + 
     35*T1^3*T2^11 - 245*T1^4*T2^11 + 17*T1^5*T2^11 + 2249*T1^6*T2^11 - 
     3658*T1^7*T2^11 + 1684*T1^8*T2^11 + 2310*T1^9*T2^11 - 7350*T1^10*T2^11 + 
     1334*T1^11*T2^11 + 2425*T1^12*T2^11 - 4086*T1^13*T2^11 + 
     2138*T1^14*T2^11 + 77*T1^15*T2^11 - 140*T1^16*T2^11 + 245*T1^5*T2^12 - 
     927*T1^6*T2^12 + 71*T1^7*T2^12 + 2422*T1^8*T2^12 - 4029*T1^9*T2^12 + 
     3714*T1^10*T2^12 + 2425*T1^11*T2^12 - 4074*T1^12*T2^12 + 
     3361*T1^13*T2^12 - 917*T1^14*T2^12 - 469*T1^15*T2^12 + 172*T1^16*T2^12 - 
     35*T1^5*T2^13 - 35*T1^6*T2^13 + 845*T1^7*T2^13 - 1595*T1^8*T2^13 + 
     911*T1^9*T2^13 + 1059*T1^10*T2^13 - 4086*T1^11*T2^13 + 
     3361*T1^12*T2^13 - 1595*T1^13*T2^13 - 135*T1^14*T2^13 + 
     560*T1^15*T2^13 - 140*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 
     150*T1^8*T2^14 + 985*T1^9*T2^14 - 1837*T1^10*T2^14 + 2138*T1^11*T2^14 - 
     917*T1^12*T2^14 - 135*T1^13*T2^14 + 610*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     175*T1^10*T2^15 + 77*T1^11*T2^15 - 469*T1^12*T2^15 + 560*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 140*T1^11*T2^16 + 172*T1^12*T2^16 - 
     140*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 259] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   (-31 + 185*T1 - 415*T1^2 + 507*T1^3 - 415*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 966*T1*T2 + 1658*T1^2*T2 - 1196*T1^3*T2 + 244*T1^4*T2 + 
     722*T1^5*T2 - 630*T1^6*T2 + 137*T1^7*T2 - 415*T2^2 + 1658*T1*T2^2 - 
     906*T1^2*T2^2 - 2880*T1^3*T2^2 + 5070*T1^4*T2^2 - 5148*T1^5*T2^2 + 
     1794*T1^6*T2^2 + 362*T1^7*T2^2 - 199*T1^8*T2^2 + 507*T2^3 - 
     1196*T1*T2^3 - 2880*T1^2*T2^3 + 9210*T1^3*T2^3 - 8118*T1^4*T2^3 + 
     3600*T1^5*T2^3 + 3504*T1^6*T2^3 - 3690*T1^7*T2^3 + 532*T1^8*T2^3 + 
     111*T1^9*T2^3 - 415*T2^4 + 244*T1*T2^4 + 5070*T1^2*T2^4 - 
     8118*T1^3*T2^4 - 549*T1^4*T2^4 + 8071*T1^5*T2^4 - 11781*T1^6*T2^4 + 
     4554*T1^7*T2^4 + 1398*T1^8*T2^4 - 764*T1^9*T2^4 + 17*T1^10*T2^4 + 
     185*T2^5 + 722*T1*T2^5 - 5148*T1^2*T2^5 + 3600*T1^3*T2^5 + 
     8071*T1^4*T2^5 - 11133*T1^5*T2^5 + 6099*T1^6*T2^5 + 4102*T1^7*T2^5 - 
     6210*T1^8*T2^5 + 1494*T1^9*T2^5 + 218*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 630*T1*T2^6 + 1794*T1^2*T2^6 + 3504*T1^3*T2^6 - 
     11781*T1^4*T2^6 + 6099*T1^5*T2^6 + 4992*T1^6*T2^6 - 10407*T1^7*T2^6 + 
     6309*T1^8*T2^6 + 768*T1^9*T2^6 - 1554*T1^10*T2^6 + 234*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 362*T1^2*T2^7 - 3690*T1^3*T2^7 + 
     4554*T1^4*T2^7 + 4102*T1^5*T2^7 - 10407*T1^6*T2^7 + 6825*T1^7*T2^7 + 
     133*T1^8*T2^7 - 5256*T1^9*T2^7 + 2952*T1^10*T2^7 - 142*T1^11*T2^7 - 
     103*T1^12*T2^7 - 199*T1^2*T2^8 + 532*T1^3*T2^8 + 1398*T1^4*T2^8 - 
     6210*T1^5*T2^8 + 6309*T1^6*T2^8 + 133*T1^7*T2^8 - 4923*T1^8*T2^8 + 
     6462*T1^9*T2^8 - 2274*T1^10*T2^8 - 476*T1^11*T2^8 + 233*T1^12*T2^8 + 
     111*T1^3*T2^9 - 764*T1^4*T2^9 + 1494*T1^5*T2^9 + 768*T1^6*T2^9 - 
     5256*T1^7*T2^9 + 6462*T1^8*T2^9 - 4938*T1^9*T2^9 + 684*T1^10*T2^9 + 
     964*T1^11*T2^9 - 285*T1^12*T2^9 + 17*T1^4*T2^10 + 218*T1^5*T2^10 - 
     1554*T1^6*T2^10 + 2952*T1^7*T2^10 - 2274*T1^8*T2^10 + 684*T1^9*T2^10 + 
     1146*T1^10*T2^10 - 1078*T1^11*T2^10 + 233*T1^12*T2^10 - 55*T1^5*T2^11 + 
     234*T1^6*T2^11 - 142*T1^7*T2^11 - 476*T1^8*T2^11 + 964*T1^9*T2^11 - 
     1078*T1^10*T2^11 + 570*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 233*T1^8*T2^12 - 285*T1^9*T2^12 + 233*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 260] -> 
  {-((1 - 7*T + 22*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 195*T1^3 - 225*T1^4 + 195*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      749*T1^3*T2 + 483*T1^4*T2 - 105*T1^5*T2 - 322*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      438*T1^3*T2^2 + 1249*T1^4*T2^2 - 1975*T1^5*T2^2 + 2261*T1^6*T2^2 - 
      970*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      195*T2^3 - 749*T1*T2^3 + 438*T1^2*T2^3 + 2781*T1^3*T2^3 - 
      5639*T1^4*T2^3 + 3871*T1^5*T2^3 - 1928*T1^6*T2^3 - 2329*T1^7*T2^3 + 
      2995*T1^8*T2^3 - 904*T1^9*T2^3 - 84*T1^10*T2^3 + 78*T1^11*T2^3 - 
      225*T2^4 + 483*T1*T2^4 + 1249*T1^2*T2^4 - 5639*T1^3*T2^4 + 
      4497*T1^4*T2^4 + 4207*T1^5*T2^4 - 7467*T1^6*T2^4 + 11005*T1^7*T2^4 - 
      5055*T1^8*T2^4 - 1193*T1^9*T2^4 + 1387*T1^10*T2^4 - 231*T1^11*T2^4 - 
      45*T1^12*T2^4 + 195*T2^5 - 105*T1*T2^5 - 1975*T1^2*T2^5 + 
      3871*T1^3*T2^5 + 4207*T1^4*T2^5 - 15714*T1^5*T2^5 + 11888*T1^6*T2^5 - 
      8194*T1^7*T2^5 - 4716*T1^8*T2^5 + 8350*T1^9*T2^5 - 2450*T1^10*T2^5 - 
      508*T1^11*T2^5 + 315*T1^12*T2^5 - 110*T2^6 - 322*T1*T2^6 + 
      2261*T1^2*T2^6 - 1928*T1^3*T2^6 - 7467*T1^4*T2^6 + 11888*T1^5*T2^6 + 
      3090*T1^6*T2^6 - 9722*T1^7*T2^6 + 16458*T1^8*T2^6 - 8572*T1^9*T2^6 - 
      2535*T1^10*T2^6 + 3088*T1^11*T2^6 - 499*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 970*T1^2*T2^7 - 
      2329*T1^3*T2^7 + 11005*T1^4*T2^7 - 8194*T1^5*T2^7 - 9722*T1^6*T2^7 + 
      8954*T1^7*T2^7 - 3390*T1^8*T2^7 - 6793*T1^9*T2^7 + 11132*T1^10*T2^7 - 
      3758*T1^11*T2^7 - 1095*T1^12*T2^7 + 768*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2995*T1^3*T2^8 - 
      5055*T1^4*T2^8 - 4716*T1^5*T2^8 + 16458*T1^6*T2^8 - 3390*T1^7*T2^8 - 
      8832*T1^8*T2^8 + 10742*T1^9*T2^8 - 6992*T1^10*T2^8 - 3420*T1^11*T2^8 + 
      5137*T1^12*T2^8 - 1359*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 904*T1^3*T2^9 - 
      1193*T1^4*T2^9 + 8350*T1^5*T2^9 - 8572*T1^6*T2^9 - 6793*T1^7*T2^9 + 
      10742*T1^8*T2^9 - 1602*T1^9*T2^9 - 3864*T1^10*T2^9 + 10754*T1^11*T2^9 - 
      6413*T1^12*T2^9 + 41*T1^13*T2^9 + 834*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 84*T1^3*T2^10 + 1387*T1^4*T2^10 - 
      2450*T1^5*T2^10 - 2535*T1^6*T2^10 + 11132*T1^7*T2^10 - 
      6992*T1^8*T2^10 - 3864*T1^9*T2^10 + 6376*T1^10*T2^10 - 
      9328*T1^11*T2^10 + 2397*T1^12*T2^10 + 2566*T1^13*T2^10 - 
      1373*T1^14*T2^10 + 84*T1^15*T2^10 + 66*T1^16*T2^10 + 78*T1^3*T2^11 - 
      231*T1^4*T2^11 - 508*T1^5*T2^11 + 3088*T1^6*T2^11 - 3758*T1^7*T2^11 - 
      3420*T1^8*T2^11 + 10754*T1^9*T2^11 - 9328*T1^10*T2^11 + 
      7578*T1^11*T2^11 + 385*T1^12*T2^11 - 3233*T1^13*T2^11 + 
      959*T1^14*T2^11 + 189*T1^15*T2^11 - 117*T1^16*T2^11 - 45*T1^4*T2^12 + 
      315*T1^5*T2^12 - 499*T1^6*T2^12 - 1095*T1^7*T2^12 + 5137*T1^8*T2^12 - 
      6413*T1^9*T2^12 + 2397*T1^10*T2^12 + 385*T1^11*T2^12 - 
      4415*T1^12*T2^12 + 3351*T1^13*T2^12 - 361*T1^14*T2^12 - 
      399*T1^15*T2^12 + 135*T1^16*T2^12 - 154*T1^6*T2^13 + 768*T1^7*T2^13 - 
      1359*T1^8*T2^13 + 41*T1^9*T2^13 + 2566*T1^10*T2^13 - 3233*T1^11*T2^13 + 
      3351*T1^12*T2^13 - 1145*T1^13*T2^13 - 574*T1^14*T2^13 + 
      511*T1^15*T2^13 - 117*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 834*T1^9*T2^14 - 1373*T1^10*T2^14 + 959*T1^11*T2^14 - 
      361*T1^12*T2^14 - 574*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      84*T1^10*T2^15 + 189*T1^11*T2^15 - 399*T1^12*T2^15 + 511*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 117*T1^11*T2^16 + 135*T1^12*T2^16 - 
      117*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 261] -> 
  {(1 - 8*T + 27*T^2 - 52*T^3 + 65*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 208*T1^3 - 260*T1^4 + 208*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1016*T1^3*T2 + 
     832*T1^4*T2 - 104*T1^5*T2 - 384*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1433*T1^2*T2^2 + 858*T1^3*T2^2 + 
     1522*T1^4*T2^2 - 4075*T1^5*T2^2 + 3574*T1^6*T2^2 - 1518*T1^7*T2^2 - 
     29*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 208*T2^3 - 1016*T1*T2^3 + 
     858*T1^2*T2^3 + 3308*T1^3*T2^3 - 8997*T1^4*T2^3 + 10267*T1^5*T2^3 - 
     2681*T1^6*T2^3 - 3321*T1^7*T2^3 + 4016*T1^8*T2^3 - 1410*T1^9*T2^3 + 
     16*T1^10*T2^3 + 52*T1^11*T2^3 - 260*T2^4 + 832*T1*T2^4 + 
     1522*T1^2*T2^4 - 8997*T1^3*T2^4 + 12028*T1^4*T2^4 - 2749*T1^5*T2^4 - 
     15588*T1^6*T2^4 + 17427*T1^7*T2^4 - 7940*T1^8*T2^4 - 885*T1^9*T2^4 + 
     1886*T1^10*T2^4 - 416*T1^11*T2^4 + 208*T2^5 - 104*T1*T2^5 - 
     4075*T1^2*T2^5 + 10267*T1^3*T2^5 - 2749*T1^4*T2^5 - 18630*T1^5*T2^5 + 
     34771*T1^6*T2^5 - 15357*T1^7*T2^5 - 7814*T1^8*T2^5 + 13891*T1^9*T2^5 - 
     5697*T1^10*T2^5 - 19*T1^11*T2^5 + 416*T1^12*T2^5 - 52*T1^13*T2^5 - 
     108*T2^6 - 384*T1*T2^6 + 3574*T1^2*T2^6 - 2681*T1^3*T2^6 - 
     15588*T1^4*T2^6 + 34771*T1^5*T2^6 - 26342*T1^6*T2^6 - 18306*T1^7*T2^6 + 
     38034*T1^8*T2^6 - 21597*T1^9*T2^6 - 326*T1^10*T2^6 + 5743*T1^11*T2^6 - 
     1854*T1^12*T2^6 - 16*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 
     392*T1*T2^7 - 1518*T1^2*T2^7 - 3321*T1^3*T2^7 + 17427*T1^4*T2^7 - 
     15357*T1^5*T2^7 - 18306*T1^6*T2^7 + 57230*T1^7*T2^7 - 42778*T1^8*T2^7 - 
     3034*T1^9*T2^7 + 22291*T1^10*T2^7 - 13357*T1^11*T2^7 + 747*T1^12*T2^7 + 
     1398*T1^13*T2^7 - 240*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 29*T1^2*T2^8 + 4016*T1^3*T2^8 - 7940*T1^4*T2^8 - 
     7814*T1^5*T2^8 + 38034*T1^6*T2^8 - 42778*T1^7*T2^8 - 612*T1^8*T2^8 + 
     44342*T1^9*T2^8 - 33046*T1^10*T2^8 + 5706*T1^11*T2^8 + 8080*T1^12*T2^8 - 
     3952*T1^13*T2^8 + 31*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 240*T1^2*T2^9 - 1410*T1^3*T2^9 - 885*T1^4*T2^9 + 
     13891*T1^5*T2^9 - 21597*T1^6*T2^9 - 3034*T1^7*T2^9 + 44342*T1^8*T2^9 - 
     55666*T1^9*T2^9 + 12238*T1^10*T2^9 + 16051*T1^11*T2^9 - 
     16893*T1^12*T2^9 + 3183*T1^13*T2^9 + 1506*T1^14*T2^9 - 392*T1^15*T2^9 - 
     32*T1^16*T2^9 - 54*T1^2*T2^10 + 16*T1^3*T2^10 + 1886*T1^4*T2^10 - 
     5697*T1^5*T2^10 - 326*T1^6*T2^10 + 22291*T1^7*T2^10 - 33046*T1^8*T2^10 + 
     12238*T1^9*T2^10 + 31330*T1^10*T2^10 - 34077*T1^11*T2^10 + 
     14936*T1^12*T2^10 + 2727*T1^13*T2^10 - 3542*T1^14*T2^10 + 
     384*T1^15*T2^10 + 108*T1^16*T2^10 + 52*T1^3*T2^11 - 416*T1^4*T2^11 - 
     19*T1^5*T2^11 + 5743*T1^6*T2^11 - 13357*T1^7*T2^11 + 5706*T1^8*T2^11 + 
     16051*T1^9*T2^11 - 34077*T1^10*T2^11 + 16522*T1^11*T2^11 + 
     3283*T1^12*T2^11 - 10221*T1^13*T2^11 + 4037*T1^14*T2^11 + 
     104*T1^15*T2^11 - 208*T1^16*T2^11 + 416*T1^5*T2^12 - 1854*T1^6*T2^12 + 
     747*T1^7*T2^12 + 8080*T1^8*T2^12 - 16893*T1^9*T2^12 + 
     14936*T1^10*T2^12 + 3283*T1^11*T2^12 - 11888*T1^12*T2^12 + 
     8859*T1^13*T2^12 - 1490*T1^14*T2^12 - 832*T1^15*T2^12 + 
     260*T1^16*T2^12 - 52*T1^5*T2^13 - 16*T1^6*T2^13 + 1398*T1^7*T2^13 - 
     3952*T1^8*T2^13 + 3183*T1^9*T2^13 + 2727*T1^10*T2^13 - 
     10221*T1^11*T2^13 + 8859*T1^12*T2^13 - 3244*T1^13*T2^13 - 
     870*T1^14*T2^13 + 1016*T1^15*T2^13 - 208*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 31*T1^8*T2^14 + 1506*T1^9*T2^14 - 3542*T1^10*T2^14 + 
     4037*T1^11*T2^14 - 1490*T1^12*T2^14 - 870*T1^13*T2^14 + 
     1435*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 384*T1^10*T2^15 + 104*T1^11*T2^15 - 
     832*T1^12*T2^15 + 1016*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     208*T1^11*T2^16 + 260*T1^12*T2^16 - 208*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 262] -> 
  {-((1 - 7*T + 22*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 205*T1^3 - 245*T1^4 + 205*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      819*T1^3*T2 + 567*T1^4*T2 - 63*T1^5*T2 - 378*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      655*T1^3*T2^2 + 1204*T1^4*T2^2 - 2407*T1^5*T2^2 + 2392*T1^6*T2^2 - 
      841*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      205*T2^3 - 819*T1*T2^3 + 655*T1^2*T2^3 + 2015*T1^3*T2^3 - 
      5647*T1^4*T2^3 + 4692*T1^5*T2^3 - 1419*T1^6*T2^3 - 2833*T1^7*T2^3 + 
      2715*T1^8*T2^3 - 819*T1^9*T2^3 - 112*T1^10*T2^3 + 82*T1^11*T2^3 - 
      245*T2^4 + 567*T1*T2^4 + 1204*T1^2*T2^4 - 5647*T1^3*T2^4 + 
      7077*T1^4*T2^4 + 1044*T1^5*T2^4 - 7387*T1^6*T2^4 + 9878*T1^7*T2^4 - 
      3031*T1^8*T2^4 - 1629*T1^9*T2^4 + 1498*T1^10*T2^4 - 231*T1^11*T2^4 - 
      49*T1^12*T2^4 + 205*T2^5 - 63*T1*T2^5 - 2407*T1^2*T2^5 + 
      4692*T1^3*T2^5 + 1044*T1^4*T2^5 - 14848*T1^5*T2^5 + 15081*T1^6*T2^5 - 
      7217*T1^7*T2^5 - 7036*T1^8*T2^5 + 8059*T1^9*T2^5 - 2325*T1^10*T2^5 - 
      616*T1^11*T2^5 + 343*T1^12*T2^5 - 110*T2^6 - 378*T1*T2^6 + 
      2392*T1^2*T2^6 - 1419*T1^3*T2^6 - 7387*T1^4*T2^6 + 15081*T1^5*T2^6 - 
      857*T1^6*T2^6 - 13823*T1^7*T2^6 + 21095*T1^8*T2^6 - 8531*T1^9*T2^6 - 
      2711*T1^10*T2^6 + 3333*T1^11*T2^6 - 584*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 841*T1^2*T2^7 - 
      2833*T1^3*T2^7 + 9878*T1^4*T2^7 - 7217*T1^5*T2^7 - 13823*T1^6*T2^7 + 
      20876*T1^7*T2^7 - 11394*T1^8*T2^7 - 7530*T1^9*T2^7 + 12453*T1^10*T2^7 - 
      4413*T1^11*T2^7 - 831*T1^12*T2^7 + 765*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2715*T1^3*T2^8 - 
      3031*T1^4*T2^8 - 7036*T1^5*T2^8 + 21095*T1^6*T2^8 - 11394*T1^7*T2^8 - 
      9312*T1^8*T2^8 + 19674*T1^9*T2^8 - 12163*T1^10*T2^8 - 1732*T1^11*T2^8 + 
      4365*T1^12*T2^8 - 1335*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 819*T1^3*T2^9 - 
      1629*T1^4*T2^9 + 8059*T1^5*T2^9 - 8531*T1^6*T2^9 - 7530*T1^7*T2^9 + 
      19674*T1^8*T2^9 - 12596*T1^9*T2^9 - 1237*T1^10*T2^9 + 
      11139*T1^11*T2^9 - 6232*T1^12*T2^9 + 373*T1^13*T2^9 + 787*T1^14*T2^9 - 
      161*T1^15*T2^9 - 21*T1^16*T2^9 - 66*T1^2*T2^10 - 112*T1^3*T2^10 + 
      1498*T1^4*T2^10 - 2325*T1^5*T2^10 - 2711*T1^6*T2^10 + 
      12453*T1^7*T2^10 - 12163*T1^8*T2^10 - 1237*T1^9*T2^10 + 
      9789*T1^10*T2^10 - 11159*T1^11*T2^10 + 1965*T1^12*T2^10 + 
      2427*T1^13*T2^10 - 1478*T1^14*T2^10 + 112*T1^15*T2^10 + 
      66*T1^16*T2^10 + 82*T1^3*T2^11 - 231*T1^4*T2^11 - 616*T1^5*T2^11 + 
      3333*T1^6*T2^11 - 4413*T1^7*T2^11 - 1732*T1^8*T2^11 + 
      11139*T1^9*T2^11 - 11159*T1^10*T2^11 + 6080*T1^11*T2^11 + 
      2602*T1^12*T2^11 - 3684*T1^13*T2^11 + 1175*T1^14*T2^11 + 
      175*T1^15*T2^11 - 123*T1^16*T2^11 - 49*T1^4*T2^12 + 343*T1^5*T2^12 - 
      584*T1^6*T2^12 - 831*T1^7*T2^12 + 4365*T1^8*T2^12 - 6232*T1^9*T2^12 + 
      1965*T1^10*T2^12 + 2602*T1^11*T2^12 - 5743*T1^12*T2^12 + 
      3187*T1^13*T2^12 - 290*T1^14*T2^12 - 455*T1^15*T2^12 + 
      147*T1^16*T2^12 - 154*T1^6*T2^13 + 765*T1^7*T2^13 - 1335*T1^8*T2^13 + 
      373*T1^9*T2^13 + 2427*T1^10*T2^13 - 3684*T1^11*T2^13 + 
      3187*T1^12*T2^13 - 635*T1^13*T2^13 - 709*T1^14*T2^13 + 
      553*T1^15*T2^13 - 123*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 787*T1^9*T2^14 - 1478*T1^10*T2^14 + 1175*T1^11*T2^14 - 
      290*T1^12*T2^14 - 709*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      112*T1^10*T2^15 + 175*T1^11*T2^15 - 455*T1^12*T2^15 + 553*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 123*T1^11*T2^16 + 147*T1^12*T2^16 - 
      123*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 263] -> 
  {(3 - 19*T + 48*T^2 - 63*T^3 + 48*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 701*T1 - 1766*T1^2 + 2313*T1^3 - 1766*T1^4 + 701*T1^5 - 111*T1^6 + 
     701*T2 - 3901*T1*T2 + 7824*T1^2*T2 - 6203*T1^3*T2 + 124*T1^4*T2 + 
     4005*T1^5*T2 - 2647*T1^6*T2 + 530*T1^7*T2 - 1766*T2^2 + 7824*T1*T2^2 - 
     7950*T1^2*T2^2 - 10632*T1^3*T2^2 + 27270*T1^4*T2^2 - 23304*T1^5*T2^2 + 
     5010*T1^6*T2^2 + 2352*T1^7*T2^2 - 902*T1^8*T2^2 + 2313*T2^3 - 
     6203*T1*T2^3 - 10632*T1^2*T2^3 + 50587*T1^3*T2^3 - 52513*T1^4*T2^3 + 
     10730*T1^5*T2^3 + 26905*T1^6*T2^3 - 17784*T1^7*T2^3 + 1834*T1^8*T2^3 + 
     612*T1^9*T2^3 - 1766*T2^4 + 124*T1*T2^4 + 27270*T1^2*T2^4 - 
     52513*T1^3*T2^4 - 1243*T1^4*T2^4 + 73703*T1^5*T2^4 - 80659*T1^6*T2^4 + 
     18929*T1^7*T2^4 + 9432*T1^8*T2^4 - 3638*T1^9*T2^4 - 38*T1^10*T2^4 + 
     701*T2^5 + 4005*T1*T2^5 - 23304*T1^2*T2^5 + 10730*T1^3*T2^5 + 
     73703*T1^4*T2^5 - 110529*T1^5*T2^5 + 48093*T1^6*T2^5 + 37991*T1^7*T2^5 - 
     36115*T1^8*T2^5 + 5928*T1^9*T2^5 + 1212*T1^10*T2^5 - 154*T1^11*T2^5 - 
     111*T2^6 - 2647*T1*T2^6 + 5010*T1^2*T2^6 + 26905*T1^3*T2^6 - 
     80659*T1^4*T2^6 + 48093*T1^5*T2^6 + 46356*T1^6*T2^6 - 90705*T1^7*T2^6 + 
     38321*T1^8*T2^6 + 5263*T1^9*T2^6 - 6010*T1^10*T2^6 + 659*T1^11*T2^6 + 
     51*T1^12*T2^6 + 530*T1*T2^7 + 2352*T1^2*T2^7 - 17784*T1^3*T2^7 + 
     18929*T1^4*T2^7 + 37991*T1^5*T2^7 - 90705*T1^6*T2^7 + 67917*T1^7*T2^7 + 
     2279*T1^8*T2^7 - 27916*T1^9*T2^7 + 11448*T1^10*T2^7 - 441*T1^11*T2^7 - 
     325*T1^12*T2^7 - 902*T1^2*T2^8 + 1834*T1^3*T2^8 + 9432*T1^4*T2^8 - 
     36115*T1^5*T2^8 + 38321*T1^6*T2^8 + 2279*T1^7*T2^8 - 41095*T1^8*T2^8 + 
     35327*T1^9*T2^8 - 8406*T1^10*T2^8 - 1928*T1^11*T2^8 + 826*T1^12*T2^8 + 
     612*T1^3*T2^9 - 3638*T1^4*T2^9 + 5928*T1^5*T2^9 + 5263*T1^6*T2^9 - 
     27916*T1^7*T2^9 + 35327*T1^8*T2^9 - 18419*T1^9*T2^9 - 1224*T1^10*T2^9 + 
     4399*T1^11*T2^9 - 1089*T1^12*T2^9 - 38*T1^4*T2^10 + 1212*T1^5*T2^10 - 
     6010*T1^6*T2^10 + 11448*T1^7*T2^10 - 8406*T1^8*T2^10 - 1224*T1^9*T2^10 + 
     6950*T1^10*T2^10 - 4260*T1^11*T2^10 + 826*T1^12*T2^10 - 154*T1^5*T2^11 + 
     659*T1^6*T2^11 - 441*T1^7*T2^11 - 1928*T1^8*T2^11 + 4399*T1^9*T2^11 - 
     4260*T1^10*T2^11 + 1913*T1^11*T2^11 - 325*T1^12*T2^11 + 51*T1^6*T2^12 - 
     325*T1^7*T2^12 + 826*T1^8*T2^12 - 1089*T1^9*T2^12 + 826*T1^10*T2^12 - 
     325*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 264] -> 
  {-(((1 - 3*T + T^2)*(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6))/
     T^4), -((-5 + 45*T1 - 165*T1^2 + 325*T1^3 - 395*T1^4 + 325*T1^5 - 
      165*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1161*T1^2*T2 - 
      1737*T1^3*T2 + 1215*T1^4*T2 - 81*T1^5*T2 - 855*T1^6*T2 + 783*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 165*T2^2 + 1161*T1*T2^2 - 2631*T1^2*T2^2 + 
      944*T1^3*T2^2 + 4712*T1^4*T2^2 - 8383*T1^5*T2^2 + 7748*T1^6*T2^2 - 
      2752*T1^7*T2^2 - 519*T1^8*T2^2 + 567*T1^9*T2^2 - 99*T1^10*T2^2 + 
      325*T2^3 - 1737*T1*T2^3 + 944*T1^2*T2^3 + 10078*T1^3*T2^3 - 
      23145*T1^4*T2^3 + 19062*T1^5*T2^3 - 4596*T1^6*T2^3 - 11199*T1^7*T2^3 + 
      10474*T1^8*T2^3 - 2521*T1^9*T2^3 - 279*T1^10*T2^3 + 130*T1^11*T2^3 - 
      395*T2^4 + 1215*T1*T2^4 + 4712*T1^2*T2^4 - 23145*T1^3*T2^4 + 
      23681*T1^4*T2^4 + 14435*T1^5*T2^4 - 44877*T1^6*T2^4 + 50559*T1^7*T2^4 - 
      17191*T1^8*T2^4 - 6245*T1^9*T2^4 + 4610*T1^10*T2^4 - 459*T1^11*T2^4 - 
      79*T1^12*T2^4 + 325*T2^5 - 81*T1*T2^5 - 8383*T1^2*T2^5 + 
      19062*T1^3*T2^5 + 14435*T1^4*T2^5 - 78313*T1^5*T2^5 + 79198*T1^6*T2^5 - 
      34298*T1^7*T2^5 - 34357*T1^8*T2^5 + 39448*T1^9*T2^5 - 8752*T1^10*T2^5 - 
      2056*T1^11*T2^5 + 711*T1^12*T2^5 - 165*T2^6 - 855*T1*T2^6 + 
      7748*T1^2*T2^6 - 4596*T1^3*T2^6 - 44877*T1^4*T2^6 + 79198*T1^5*T2^6 - 
      9959*T1^6*T2^6 - 67343*T1^7*T2^6 + 105181*T1^8*T2^6 - 43136*T1^9*T2^6 - 
      14487*T1^10*T2^6 + 12828*T1^11*T2^6 - 1564*T1^12*T2^6 - 
      297*T1^13*T2^6 + 33*T1^14*T2^6 + 45*T2^7 + 783*T1*T2^7 - 
      2752*T1^2*T2^7 - 11199*T1^3*T2^7 + 50559*T1^4*T2^7 - 34298*T1^5*T2^7 - 
      67343*T1^6*T2^7 + 105600*T1^7*T2^7 - 64950*T1^8*T2^7 - 
      34462*T1^9*T2^7 + 61522*T1^10*T2^7 - 18898*T1^11*T2^7 - 
      3329*T1^12*T2^7 + 2099*T1^13*T2^7 - 135*T1^14*T2^7 - 18*T1^15*T2^7 - 
      5*T2^8 - 279*T1*T2^8 - 519*T1^2*T2^8 + 10474*T1^3*T2^8 - 
      17191*T1^4*T2^8 - 34357*T1^5*T2^8 + 105181*T1^6*T2^8 - 
      64950*T1^7*T2^8 - 29508*T1^8*T2^8 + 95294*T1^9*T2^8 - 
      59577*T1^10*T2^8 - 9223*T1^11*T2^8 + 19549*T1^12*T2^8 - 
      4762*T1^13*T2^8 - 273*T1^14*T2^8 + 135*T1^15*T2^8 + 3*T1^16*T2^8 + 
      36*T1*T2^9 + 567*T1^2*T2^9 - 2521*T1^3*T2^9 - 6245*T1^4*T2^9 + 
      39448*T1^5*T2^9 - 43136*T1^6*T2^9 - 34462*T1^7*T2^9 + 95294*T1^8*T2^9 - 
      75256*T1^9*T2^9 - 1581*T1^10*T2^9 + 52684*T1^11*T2^9 - 
      30009*T1^12*T2^9 + 1625*T1^13*T2^9 + 2330*T1^14*T2^9 - 351*T1^15*T2^9 - 
      27*T1^16*T2^9 - 99*T1^2*T2^10 - 279*T1^3*T2^10 + 4610*T1^4*T2^10 - 
      8752*T1^5*T2^10 - 14487*T1^6*T2^10 + 61522*T1^7*T2^10 - 
      59577*T1^8*T2^10 - 1581*T1^9*T2^10 + 55563*T1^10*T2^10 - 
      60812*T1^11*T2^10 + 15903*T1^12*T2^10 + 8672*T1^13*T2^10 - 
      4702*T1^14*T2^10 + 279*T1^15*T2^10 + 99*T1^16*T2^10 + 130*T1^3*T2^11 - 
      459*T1^4*T2^11 - 2056*T1^5*T2^11 + 12828*T1^6*T2^11 - 
      18898*T1^7*T2^11 - 9223*T1^8*T2^11 + 52684*T1^9*T2^11 - 
      60812*T1^10*T2^11 + 34733*T1^11*T2^11 + 6115*T1^12*T2^11 - 
      14986*T1^13*T2^11 + 4271*T1^14*T2^11 + 333*T1^15*T2^11 - 
      195*T1^16*T2^11 - 79*T1^4*T2^12 + 711*T1^5*T2^12 - 1564*T1^6*T2^12 - 
      3329*T1^7*T2^12 + 19549*T1^8*T2^12 - 30009*T1^9*T2^12 + 
      15903*T1^10*T2^12 + 6115*T1^11*T2^12 - 21323*T1^12*T2^12 + 
      13571*T1^13*T2^12 - 1666*T1^14*T2^12 - 963*T1^15*T2^12 + 
      237*T1^16*T2^12 - 297*T1^6*T2^13 + 2099*T1^7*T2^13 - 4762*T1^8*T2^13 + 
      1625*T1^9*T2^13 + 8672*T1^10*T2^13 - 14986*T1^11*T2^13 + 
      13571*T1^12*T2^13 - 4366*T1^13*T2^13 - 1366*T1^14*T2^13 + 
      1161*T1^15*T2^13 - 195*T1^16*T2^13 + 33*T1^6*T2^14 - 135*T1^7*T2^14 - 
      273*T1^8*T2^14 + 2330*T1^9*T2^14 - 4702*T1^10*T2^14 + 
      4271*T1^11*T2^14 - 1666*T1^12*T2^14 - 1366*T1^13*T2^14 + 
      1839*T1^14*T2^14 - 729*T1^15*T2^14 + 99*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 351*T1^9*T2^15 + 279*T1^10*T2^15 + 333*T1^11*T2^15 - 
      963*T1^12*T2^15 + 1161*T1^13*T2^15 - 729*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      99*T1^10*T2^16 - 195*T1^11*T2^16 + 237*T1^12*T2^16 - 195*T1^13*T2^16 + 
      99*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 265] -> 
  {(1 - 8*T + 30*T^2 - 66*T^3 + 87*T^4 - 66*T^5 + 30*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 120*T1^2 + 264*T1^3 - 348*T1^4 + 264*T1^5 - 120*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 768*T1^2*T2 - 1392*T1^3*T2 + 
     1200*T1^4*T2 - 24*T1^5*T2 - 624*T1^6*T2 + 464*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 120*T2^2 + 768*T1*T2^2 - 2126*T1^2*T2^2 + 2652*T1^3*T2^2 + 
     404*T1^4*T2^2 - 4788*T1^5*T2^2 + 3824*T1^6*T2^2 - 828*T1^7*T2^2 - 
     386*T1^8*T2^2 + 288*T1^9*T2^2 - 60*T1^10*T2^2 + 264*T2^3 - 
     1392*T1*T2^3 + 2652*T1^2*T2^3 + 348*T1^3*T2^3 - 10604*T1^4*T2^3 + 
     15484*T1^5*T2^3 - 2228*T1^6*T2^3 - 6374*T1^7*T2^3 + 4494*T1^8*T2^3 - 
     1128*T1^9*T2^3 - 48*T1^10*T2^3 + 66*T1^11*T2^3 - 348*T2^4 + 
     1200*T1*T2^4 + 404*T1^2*T2^4 - 10604*T1^3*T2^4 + 24480*T1^4*T2^4 - 
     11909*T1^5*T2^4 - 27696*T1^6*T2^4 + 28099*T1^7*T2^4 - 6840*T1^8*T2^4 - 
     2948*T1^9*T2^4 + 2396*T1^10*T2^4 - 528*T1^11*T2^4 + 264*T2^5 - 
     24*T1*T2^5 - 4788*T1^2*T2^5 + 15484*T1^3*T2^5 - 11909*T1^4*T2^5 - 
     38140*T1^5*T2^5 + 84916*T1^6*T2^5 - 30116*T1^7*T2^5 - 24310*T1^8*T2^5 + 
     24037*T1^9*T2^5 - 7556*T1^10*T2^5 + 36*T1^11*T2^5 + 528*T1^12*T2^5 - 
     66*T1^13*T2^5 - 120*T2^6 - 624*T1*T2^6 + 3824*T1^2*T2^6 - 
     2228*T1^3*T2^6 - 27696*T1^4*T2^6 + 84916*T1^5*T2^6 - 68915*T1^6*T2^6 - 
     68503*T1^7*T2^6 + 111349*T1^8*T2^6 - 48092*T1^9*T2^6 - 48*T1^10*T2^6 + 
     7492*T1^11*T2^6 - 2452*T1^12*T2^6 + 48*T1^13*T2^6 + 60*T1^14*T2^6 + 
     32*T2^7 + 464*T1*T2^7 - 828*T1^2*T2^7 - 6374*T1^3*T2^7 + 
     28099*T1^4*T2^7 - 30116*T1^5*T2^7 - 68503*T1^6*T2^7 + 206540*T1^7*T2^7 - 
     146842*T1^8*T2^7 - 2851*T1^9*T2^7 + 48964*T1^10*T2^7 - 
     24095*T1^11*T2^7 + 3100*T1^12*T2^7 + 1152*T1^13*T2^7 - 288*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 386*T1^2*T2^8 + 4494*T1^3*T2^8 - 
     6840*T1^4*T2^8 - 24310*T1^5*T2^8 + 111349*T1^6*T2^8 - 146842*T1^7*T2^8 - 
     6768*T1^8*T2^8 + 152014*T1^9*T2^8 - 109451*T1^10*T2^8 + 
     23618*T1^11*T2^8 + 6816*T1^12*T2^8 - 4602*T1^13*T2^8 + 382*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 288*T1^2*T2^9 - 
     1128*T1^3*T2^9 - 2948*T1^4*T2^9 + 24037*T1^5*T2^9 - 48092*T1^6*T2^9 - 
     2851*T1^7*T2^9 + 152014*T1^8*T2^9 - 201368*T1^9*T2^9 + 
     62801*T1^10*T2^9 + 30988*T1^11*T2^9 - 28157*T1^12*T2^9 + 
     6526*T1^13*T2^9 + 852*T1^14*T2^9 - 464*T1^15*T2^9 - 32*T1^16*T2^9 - 
     60*T1^2*T2^10 - 48*T1^3*T2^10 + 2396*T1^4*T2^10 - 7556*T1^5*T2^10 - 
     48*T1^6*T2^10 + 48964*T1^7*T2^10 - 109451*T1^8*T2^10 + 
     62801*T1^9*T2^10 + 70813*T1^10*T2^10 - 84044*T1^11*T2^10 + 
     27600*T1^12*T2^10 + 2164*T1^13*T2^10 - 3880*T1^14*T2^10 + 
     624*T1^15*T2^10 + 120*T1^16*T2^10 + 66*T1^3*T2^11 - 528*T1^4*T2^11 + 
     36*T1^5*T2^11 + 7492*T1^6*T2^11 - 24095*T1^7*T2^11 + 23618*T1^8*T2^11 + 
     30988*T1^9*T2^11 - 84044*T1^10*T2^11 + 37448*T1^11*T2^11 + 
     11851*T1^12*T2^11 - 15548*T1^13*T2^11 + 4860*T1^14*T2^11 + 
     24*T1^15*T2^11 - 264*T1^16*T2^11 + 528*T1^5*T2^12 - 2452*T1^6*T2^12 + 
     3100*T1^7*T2^12 + 6816*T1^8*T2^12 - 28157*T1^9*T2^12 + 
     27600*T1^10*T2^12 + 11851*T1^11*T2^12 - 24504*T1^12*T2^12 + 
     10756*T1^13*T2^12 - 460*T1^14*T2^12 - 1200*T1^15*T2^12 + 
     348*T1^16*T2^12 - 66*T1^5*T2^13 + 48*T1^6*T2^13 + 1152*T1^7*T2^13 - 
     4602*T1^8*T2^13 + 6526*T1^9*T2^13 + 2164*T1^10*T2^13 - 
     15548*T1^11*T2^13 + 10756*T1^12*T2^13 - 456*T1^13*T2^13 - 
     2628*T1^14*T2^13 + 1392*T1^15*T2^13 - 264*T1^16*T2^13 + 60*T1^6*T2^14 - 
     288*T1^7*T2^14 + 382*T1^8*T2^14 + 852*T1^9*T2^14 - 3880*T1^10*T2^14 + 
     4860*T1^11*T2^14 - 460*T1^12*T2^14 - 2628*T1^13*T2^14 + 
     2122*T1^14*T2^14 - 768*T1^15*T2^14 + 120*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 464*T1^9*T2^15 + 624*T1^10*T2^15 + 24*T1^11*T2^15 - 
     1200*T1^12*T2^15 + 1392*T1^13*T2^15 - 768*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     120*T1^10*T2^16 - 264*T1^11*T2^16 + 348*T1^12*T2^16 - 264*T1^13*T2^16 + 
     120*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 266] -> 
  {(2 - 11*T + 28*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 28*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 678*T1^2 + 1060*T1^3 - 1227*T1^4 + 1060*T1^5 - 
     678*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 2493*T1^2*T2 - 
     2718*T1^3*T2 + 1887*T1^4*T2 - 203*T1^5*T2 - 1134*T1^6*T2 + 
     1635*T1^7*T2 - 958*T1^8*T2 + 224*T1^9*T2 - 678*T2^2 + 2493*T1*T2^2 - 
     3162*T1^2*T2^2 + 197*T1^3*T2^2 + 3348*T1^4*T2^2 - 6372*T1^5*T2^2 + 
     5924*T1^6*T2^2 - 3499*T1^7*T2^2 - 250*T1^8*T2^2 + 1261*T1^9*T2^2 - 
     454*T1^10*T2^2 + 1060*T2^3 - 2718*T1*T2^3 + 197*T1^2*T2^3 + 
     7120*T1^3*T2^3 - 9532*T1^4*T2^3 + 8635*T1^5*T2^3 - 1617*T1^6*T2^3 - 
     3724*T1^7*T2^3 + 7252*T1^8*T2^3 - 3191*T1^9*T2^3 - 430*T1^10*T2^3 + 
     532*T1^11*T2^3 - 1227*T2^4 + 1887*T1*T2^4 + 3348*T1^2*T2^4 - 
     9532*T1^3*T2^4 + 3068*T1^4*T2^4 + 3883*T1^5*T2^4 - 13610*T1^6*T2^4 + 
     12683*T1^7*T2^4 - 8884*T1^8*T2^4 - 2316*T1^9*T2^4 + 4124*T1^10*T2^4 - 
     665*T1^11*T2^4 - 411*T1^12*T2^4 + 1060*T2^5 - 203*T1*T2^5 - 
     6372*T1^2*T2^5 + 8635*T1^3*T2^5 + 3883*T1^4*T2^5 - 7789*T1^5*T2^5 + 
     11442*T1^6*T2^5 - 1582*T1^7*T2^5 - 3191*T1^8*T2^5 + 10813*T1^9*T2^5 - 
     3113*T1^10*T2^5 - 2643*T1^11*T2^5 + 1271*T1^12*T2^5 + 180*T1^13*T2^5 - 
     678*T2^6 - 1134*T1*T2^6 + 5924*T1^2*T2^6 - 1617*T1^3*T2^6 - 
     13610*T1^4*T2^6 + 11442*T1^5*T2^6 - 10184*T1^6*T2^6 - 1338*T1^7*T2^6 + 
     352*T1^8*T2^6 - 2726*T1^9*T2^6 - 7402*T1^10*T2^6 + 6391*T1^11*T2^6 - 
     252*T1^12*T2^6 - 958*T1^13*T2^6 - 6*T1^14*T2^6 + 268*T2^7 + 
     1635*T1*T2^7 - 3499*T1^2*T2^7 - 3724*T1^3*T2^7 + 12683*T1^4*T2^7 - 
     1582*T1^5*T2^7 - 1338*T1^6*T2^7 + 6868*T1^7*T2^7 + 1742*T1^8*T2^7 - 
     2394*T1^9*T2^7 + 9154*T1^10*T2^7 - 1727*T1^11*T2^7 - 3900*T1^12*T2^7 + 
     1737*T1^13*T2^7 + 249*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 
     958*T1*T2^8 - 250*T1^2*T2^8 + 7252*T1^3*T2^8 - 8884*T1^4*T2^8 - 
     3191*T1^5*T2^8 + 352*T1^6*T2^8 + 1742*T1^7*T2^8 - 9900*T1^8*T2^8 + 
     5834*T1^9*T2^8 - 4808*T1^10*T2^8 - 4885*T1^11*T2^8 + 6020*T1^12*T2^8 - 
     580*T1^13*T2^8 - 1068*T1^14*T2^8 + 142*T1^15*T2^8 + 15*T1^16*T2^8 + 
     224*T1*T2^9 + 1261*T1^2*T2^9 - 3191*T1^3*T2^9 - 2316*T1^4*T2^9 + 
     10813*T1^5*T2^9 - 2726*T1^6*T2^9 - 2394*T1^7*T2^9 + 5834*T1^8*T2^9 + 
     708*T1^9*T2^9 - 3450*T1^10*T2^9 + 8010*T1^11*T2^9 - 3597*T1^12*T2^9 - 
     2492*T1^13*T2^9 + 2045*T1^14*T2^9 - 125*T1^15*T2^9 - 84*T1^16*T2^9 - 
     454*T1^2*T2^10 - 430*T1^3*T2^10 + 4124*T1^4*T2^10 - 3113*T1^5*T2^10 - 
     7402*T1^6*T2^10 + 9154*T1^7*T2^10 - 4808*T1^8*T2^10 - 3450*T1^9*T2^10 + 
     5728*T1^10*T2^10 - 5014*T1^11*T2^10 - 1194*T1^12*T2^10 + 
     4895*T1^13*T2^10 - 2052*T1^14*T2^10 - 254*T1^15*T2^10 + 
     218*T1^16*T2^10 + 532*T1^3*T2^11 - 665*T1^4*T2^11 - 2643*T1^5*T2^11 + 
     6391*T1^6*T2^11 - 1727*T1^7*T2^11 - 4885*T1^8*T2^11 + 8010*T1^9*T2^11 - 
     5014*T1^10*T2^11 - 287*T1^11*T2^11 + 5203*T1^12*T2^11 - 
     5357*T1^13*T2^11 + 1086*T1^14*T2^11 + 809*T1^15*T2^11 - 
     348*T1^16*T2^11 - 411*T1^4*T2^12 + 1271*T1^5*T2^12 - 252*T1^6*T2^12 - 
     3900*T1^7*T2^12 + 6020*T1^8*T2^12 - 3597*T1^9*T2^12 - 1194*T1^10*T2^12 + 
     5203*T1^11*T2^12 - 5932*T1^12*T2^12 + 3316*T1^13*T2^12 + 
     524*T1^14*T2^12 - 1281*T1^15*T2^12 + 405*T1^16*T2^12 + 180*T1^5*T2^13 - 
     958*T1^6*T2^13 + 1737*T1^7*T2^13 - 580*T1^8*T2^13 - 2492*T1^9*T2^13 + 
     4895*T1^10*T2^13 - 5357*T1^11*T2^13 + 3316*T1^12*T2^13 - 
     448*T1^13*T2^13 - 1651*T1^14*T2^13 + 1330*T1^15*T2^13 - 
     348*T1^16*T2^13 - 6*T1^6*T2^14 + 249*T1^7*T2^14 - 1068*T1^8*T2^14 + 
     2045*T1^9*T2^14 - 2052*T1^10*T2^14 + 1086*T1^11*T2^14 + 
     524*T1^12*T2^14 - 1651*T1^13*T2^14 + 1844*T1^14*T2^14 - 
     983*T1^15*T2^14 + 218*T1^16*T2^14 - 40*T1^7*T2^15 + 142*T1^8*T2^15 - 
     125*T1^9*T2^15 - 254*T1^10*T2^15 + 809*T1^11*T2^15 - 1281*T1^12*T2^15 + 
     1330*T1^13*T2^15 - 983*T1^14*T2^15 + 428*T1^15*T2^15 - 84*T1^16*T2^15 + 
     15*T1^8*T2^16 - 84*T1^9*T2^16 + 218*T1^10*T2^16 - 348*T1^11*T2^16 + 
     405*T1^12*T2^16 - 348*T1^13*T2^16 + 218*T1^14*T2^16 - 84*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 267] -> 
  {(4 - 22*T + 52*T^2 - 67*T^3 + 52*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-272 + 1488*T1 - 3500*T1^2 + 4496*T1^3 - 3500*T1^4 + 1488*T1^5 - 
     272*T1^6 + 1488*T2 - 7014*T1*T2 + 12974*T1^2*T2 - 10048*T1^3*T2 + 
     424*T1^4*T2 + 6462*T1^5*T2 - 4726*T1^6*T2 + 1136*T1^7*T2 - 3500*T2^2 + 
     12974*T1*T2^2 - 13005*T1^2*T2^2 - 11999*T1^3*T2^2 + 34215*T1^4*T2^2 - 
     30719*T1^5*T2^2 + 6963*T1^6*T2^2 + 3822*T1^7*T2^2 - 1836*T1^8*T2^2 + 
     4496*T2^3 - 10048*T1*T2^3 - 11999*T1^2*T2^3 + 60516*T1^3*T2^3 - 
     62319*T1^4*T2^3 + 14321*T1^5*T2^3 + 32944*T1^6*T2^3 - 24063*T1^7*T2^3 + 
     3064*T1^8*T2^3 + 1280*T1^9*T2^3 - 3500*T2^4 + 424*T1*T2^4 + 
     34215*T1^2*T2^4 - 62319*T1^3*T2^4 - 202*T1^4*T2^4 + 80108*T1^5*T2^4 - 
     92926*T1^6*T2^4 + 23441*T1^7*T2^4 + 12623*T1^8*T2^4 - 6088*T1^9*T2^4 - 
     172*T1^10*T2^4 + 1488*T2^5 + 6462*T1*T2^5 - 30719*T1^2*T2^5 + 
     14321*T1^3*T2^5 + 80108*T1^4*T2^5 - 117696*T1^5*T2^5 + 54372*T1^6*T2^5 + 
     43084*T1^7*T2^5 - 44079*T1^8*T2^5 + 7969*T1^9*T2^5 + 2414*T1^10*T2^5 - 
     272*T1^11*T2^5 - 272*T2^6 - 4726*T1*T2^6 + 6963*T1^2*T2^6 + 
     32944*T1^3*T2^6 - 92926*T1^4*T2^6 + 54372*T1^5*T2^6 + 45036*T1^6*T2^6 - 
     98172*T1^7*T2^6 + 41938*T1^8*T2^6 + 8208*T1^9*T2^6 - 9005*T1^10*T2^6 + 
     906*T1^11*T2^6 + 112*T1^12*T2^6 + 1136*T1*T2^7 + 3822*T1^2*T2^7 - 
     24063*T1^3*T2^7 + 23441*T1^4*T2^7 + 43084*T1^5*T2^7 - 98172*T1^6*T2^7 + 
     73896*T1^7*T2^7 + 6060*T1^8*T2^7 - 34959*T1^9*T2^7 + 14625*T1^10*T2^7 - 
     226*T1^11*T2^7 - 624*T1^12*T2^7 - 1836*T1^2*T2^8 + 3064*T1^3*T2^8 + 
     12623*T1^4*T2^8 - 44079*T1^5*T2^8 + 41938*T1^6*T2^8 + 6060*T1^7*T2^8 - 
     50786*T1^8*T2^8 + 41681*T1^9*T2^8 - 8969*T1^10*T2^8 - 3448*T1^11*T2^8 + 
     1492*T1^12*T2^8 + 1280*T1^3*T2^9 - 6088*T1^4*T2^9 + 7969*T1^5*T2^9 + 
     8208*T1^6*T2^9 - 34959*T1^7*T2^9 + 41681*T1^8*T2^9 - 19364*T1^9*T2^9 - 
     4095*T1^10*T2^9 + 7024*T1^11*T2^9 - 1936*T1^12*T2^9 - 172*T1^4*T2^10 + 
     2414*T1^5*T2^10 - 9005*T1^6*T2^10 + 14625*T1^7*T2^10 - 8969*T1^8*T2^10 - 
     4095*T1^9*T2^10 + 10963*T1^10*T2^10 - 6738*T1^11*T2^10 + 
     1492*T1^12*T2^10 - 272*T1^5*T2^11 + 906*T1^6*T2^11 - 226*T1^7*T2^11 - 
     3448*T1^8*T2^11 + 7024*T1^9*T2^11 - 6738*T1^10*T2^11 + 
     3194*T1^11*T2^11 - 624*T1^12*T2^11 + 112*T1^6*T2^12 - 624*T1^7*T2^12 + 
     1492*T1^8*T2^12 - 1936*T1^9*T2^12 + 1492*T1^10*T2^12 - 624*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 268] -> 
  {(1 - 8*T + 30*T^2 - 61*T^3 + 77*T^4 - 61*T^5 + 30*T^6 - 8*T^7 + T^8)/T^4, 
   ((1 - 8*T1 + 30*T1^2 - 61*T1^3 + 77*T1^4 - 61*T1^5 + 30*T1^6 - 8*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 24*T1*T2 + 64*T1^2*T2^2 - 85*T1^3*T2^3 + 
      64*T1^4*T2^4 - 24*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 8*T2 + 30*T2^2 - 
      61*T2^3 + 77*T2^4 - 61*T2^5 + 30*T2^6 - 8*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 269] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-336 + 1504*T1 - 2820*T1^2 + 3392*T1^3 - 2820*T1^4 + 1504*T1^5 - 
      336*T1^6 + 1504*T2 - 5526*T1*T2 + 7214*T1^2*T2 - 5024*T1^3*T2 + 
      376*T1^4*T2 + 3470*T1^5*T2 - 3942*T1^6*T2 + 1216*T1^7*T2 - 2820*T2^2 + 
      7214*T1*T2^2 - 1081*T1^2*T2^2 - 9629*T1^3*T2^2 + 17121*T1^4*T2^2 - 
      15885*T1^5*T2^2 + 7079*T1^6*T2^2 + 2318*T1^7*T2^2 - 1732*T1^8*T2^2 + 
      3392*T2^3 - 5024*T1*T2^3 - 9629*T1^2*T2^3 + 19022*T1^3*T2^3 - 
      16545*T1^4*T2^3 + 3771*T1^5*T2^3 + 9338*T1^6*T2^3 - 12893*T1^7*T2^3 + 
      1384*T1^8*T2^3 + 1424*T1^9*T2^3 - 2820*T2^4 + 376*T1*T2^4 + 
      17121*T1^2*T2^4 - 16545*T1^3*T2^4 + 4469*T1^4*T2^4 + 9219*T1^5*T2^4 - 
      13159*T1^6*T2^4 + 5431*T1^7*T2^4 + 9049*T1^8*T2^4 - 3512*T1^9*T2^4 - 
      644*T1^10*T2^4 + 1504*T2^5 + 3470*T1*T2^5 - 15885*T1^2*T2^5 + 
      3771*T1^3*T2^5 + 9219*T1^4*T2^5 - 12706*T1^5*T2^5 + 4292*T1^6*T2^5 + 
      7111*T1^7*T2^5 - 13225*T1^8*T2^5 - 653*T1^9*T2^5 + 2606*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 3942*T1*T2^6 + 7079*T1^2*T2^6 + 
      9338*T1^3*T2^6 - 13159*T1^4*T2^6 + 4292*T1^5*T2^6 + 7704*T1^6*T2^6 - 
      11732*T1^7*T2^6 + 6329*T1^8*T2^6 + 7850*T1^9*T2^6 - 3737*T1^10*T2^6 - 
      486*T1^11*T2^6 + 48*T1^12*T2^6 + 1216*T1*T2^7 + 2318*T1^2*T2^7 - 
      12893*T1^3*T2^7 + 5431*T1^4*T2^7 + 7111*T1^5*T2^7 - 11732*T1^6*T2^7 + 
      5266*T1^7*T2^7 + 5003*T1^8*T2^7 - 11565*T1^9*T2^7 + 2339*T1^10*T2^7 + 
      1454*T1^11*T2^7 - 224*T1^12*T2^7 - 1732*T1^2*T2^8 + 1384*T1^3*T2^8 + 
      9049*T1^4*T2^8 - 13225*T1^5*T2^8 + 6329*T1^6*T2^8 + 5003*T1^7*T2^8 - 
      11299*T1^8*T2^8 + 8751*T1^9*T2^8 + 977*T1^10*T2^8 - 2504*T1^11*T2^8 + 
      444*T1^12*T2^8 + 1424*T1^3*T2^9 - 3512*T1^4*T2^9 - 653*T1^5*T2^9 + 
      7850*T1^6*T2^9 - 11565*T1^7*T2^9 + 8751*T1^8*T2^9 - 1834*T1^9*T2^9 - 
      3917*T1^10*T2^9 + 2896*T1^11*T2^9 - 544*T1^12*T2^9 - 644*T1^4*T2^10 + 
      2606*T1^5*T2^10 - 3737*T1^6*T2^10 + 2339*T1^7*T2^10 + 977*T1^8*T2^10 - 
      3917*T1^9*T2^10 + 4423*T1^10*T2^10 - 2290*T1^11*T2^10 + 
      444*T1^12*T2^10 + 64*T1^5*T2^11 - 486*T1^6*T2^11 + 1454*T1^7*T2^11 - 
      2504*T1^8*T2^11 + 2896*T1^9*T2^11 - 2290*T1^10*T2^11 + 
      1098*T1^11*T2^11 - 224*T1^12*T2^11 + 48*T1^6*T2^12 - 224*T1^7*T2^12 + 
      444*T1^8*T2^12 - 544*T1^9*T2^12 + 444*T1^10*T2^12 - 224*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 270] -> 
  {-(((-2 + T)*(-1 + 2*T)*(3 - 5*T + 3*T^2))/T^2), 
   -((-747 + 3101*T1 - 4571*T1^2 + 3101*T1^3 - 747*T1^4 + 3101*T2 - 
      10684*T1*T2 + 9866*T1^2*T2 + 566*T1^3*T2 - 6034*T1^4*T2 + 
      2201*T1^5*T2 - 4571*T2^2 + 9866*T1*T2^2 + 7972*T1^2*T2^2 - 
      28944*T1^3*T2^2 + 21736*T1^4*T2^2 - 1234*T1^5*T2^2 - 1907*T1^6*T2^2 + 
      3101*T2^3 + 566*T1*T2^3 - 28944*T1^2*T2^3 + 37115*T1^3*T2^3 - 
      6285*T1^4*T2^3 - 16919*T1^5*T2^3 + 6266*T1^6*T2^3 + 401*T1^7*T2^3 - 
      747*T2^4 - 6034*T1*T2^4 + 21736*T1^2*T2^4 - 6285*T1^3*T2^4 - 
      26844*T1^4*T2^4 + 28865*T1^5*T2^4 - 4186*T1^6*T2^4 - 2134*T1^7*T2^4 + 
      117*T1^8*T2^4 + 2201*T1*T2^5 - 1234*T1^2*T2^5 - 16919*T1^3*T2^5 + 
      28865*T1^4*T2^5 - 14535*T1^5*T2^5 - 4894*T1^6*T2^5 + 4466*T1^7*T2^5 - 
      499*T1^8*T2^5 - 1907*T1^2*T2^6 + 6266*T1^3*T2^6 - 4186*T1^4*T2^6 - 
      4894*T1^5*T2^6 + 9578*T1^6*T2^6 - 4834*T1^7*T2^6 + 757*T1^8*T2^6 + 
      401*T1^3*T2^7 - 2134*T1^4*T2^7 + 4466*T1^5*T2^7 - 4834*T1^6*T2^7 + 
      2516*T1^7*T2^7 - 499*T1^8*T2^7 + 117*T1^4*T2^8 - 499*T1^5*T2^8 + 
      757*T1^6*T2^8 - 499*T1^7*T2^8 + 117*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 271] -> 
  {(1 - 7*T + 22*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 156*T1^3 - 188*T1^4 + 156*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 630*T1^3*T2 + 
     497*T1^4*T2 - 105*T1^5*T2 - 203*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 512*T1^3*T2^2 + 
     625*T1^4*T2^2 - 1760*T1^5*T2^2 + 1725*T1^6*T2^2 - 896*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 156*T2^3 - 630*T1*T2^3 + 
     512*T1^2*T2^3 + 1941*T1^3*T2^3 - 4202*T1^4*T2^3 + 4496*T1^5*T2^3 - 
     1611*T1^6*T2^3 - 1126*T1^7*T2^3 + 2155*T1^8*T2^3 - 830*T1^9*T2^3 + 
     35*T1^10*T2^3 + 39*T1^11*T2^3 - 188*T2^4 + 497*T1*T2^4 + 625*T1^2*T2^4 - 
     4202*T1^3*T2^4 + 3909*T1^4*T2^4 + 555*T1^5*T2^4 - 7161*T1^6*T2^4 + 
     8189*T1^7*T2^4 - 4915*T1^8*T2^4 - 68*T1^9*T2^4 + 939*T1^10*T2^4 - 
     273*T1^11*T2^4 + 156*T2^5 - 105*T1*T2^5 - 1760*T1^2*T2^5 + 
     4496*T1^3*T2^5 + 555*T1^4*T2^5 - 8566*T1^5*T2^5 + 12932*T1^6*T2^5 - 
     6304*T1^7*T2^5 - 1726*T1^8*T2^5 + 5988*T1^9*T2^5 - 2749*T1^10*T2^5 + 
     T1^11*T2^5 + 273*T1^12*T2^5 - 39*T1^13*T2^5 - 88*T2^6 - 203*T1*T2^6 + 
     1725*T1^2*T2^6 - 1611*T1^3*T2^6 - 7161*T1^4*T2^6 + 12932*T1^5*T2^6 - 
     7605*T1^6*T2^6 - 6431*T1^7*T2^6 + 11923*T1^8*T2^6 - 8160*T1^9*T2^6 - 
     117*T1^10*T2^6 + 2789*T1^11*T2^6 - 947*T1^12*T2^6 - 35*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 896*T1^2*T2^7 - 1126*T1^3*T2^7 + 
     8189*T1^4*T2^7 - 6304*T1^5*T2^7 - 6431*T1^6*T2^7 + 14842*T1^7*T2^7 - 
     7720*T1^8*T2^7 - 3892*T1^9*T2^7 + 9220*T1^10*T2^7 - 6048*T1^11*T2^7 + 
     30*T1^12*T2^7 + 842*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 2155*T1^3*T2^8 - 4915*T1^4*T2^8 - 
     1726*T1^5*T2^8 + 11923*T1^6*T2^8 - 7720*T1^7*T2^8 - 5412*T1^8*T2^8 + 
     12496*T1^9*T2^8 - 7655*T1^10*T2^8 + 158*T1^11*T2^8 + 5293*T1^12*T2^8 - 
     2199*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 830*T1^3*T2^9 - 68*T1^4*T2^9 + 
     5988*T1^5*T2^9 - 8160*T1^6*T2^9 - 3892*T1^7*T2^9 + 12496*T1^8*T2^9 - 
     10066*T1^9*T2^9 - 1353*T1^10*T2^9 + 7364*T1^11*T2^9 - 8249*T1^12*T2^9 + 
     1088*T1^13*T2^9 + 908*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 35*T1^3*T2^10 + 939*T1^4*T2^10 - 2749*T1^5*T2^10 - 
     117*T1^6*T2^10 + 9220*T1^7*T2^10 - 7655*T1^8*T2^10 - 1353*T1^9*T2^10 + 
     11873*T1^10*T2^10 - 11872*T1^11*T2^10 + 6927*T1^12*T2^10 + 
     1651*T1^13*T2^10 - 1733*T1^14*T2^10 + 203*T1^15*T2^10 + 88*T1^16*T2^10 + 
     39*T1^3*T2^11 - 273*T1^4*T2^11 + T1^5*T2^11 + 2789*T1^6*T2^11 - 
     6048*T1^7*T2^11 + 158*T1^8*T2^11 + 7364*T1^9*T2^11 - 11872*T1^10*T2^11 + 
     6998*T1^11*T2^11 - 615*T1^12*T2^11 - 4456*T1^13*T2^11 + 
     1762*T1^14*T2^11 + 105*T1^15*T2^11 - 156*T1^16*T2^11 + 273*T1^5*T2^12 - 
     947*T1^6*T2^12 + 30*T1^7*T2^12 + 5293*T1^8*T2^12 - 8249*T1^9*T2^12 + 
     6927*T1^10*T2^12 - 615*T1^11*T2^12 - 3531*T1^12*T2^12 + 
     4164*T1^13*T2^12 - 633*T1^14*T2^12 - 497*T1^15*T2^12 + 188*T1^16*T2^12 - 
     39*T1^5*T2^13 - 35*T1^6*T2^13 + 842*T1^7*T2^13 - 2199*T1^8*T2^13 + 
     1088*T1^9*T2^13 + 1651*T1^10*T2^13 - 4456*T1^11*T2^13 + 
     4164*T1^12*T2^13 - 1985*T1^13*T2^13 - 500*T1^14*T2^13 + 
     630*T1^15*T2^13 - 156*T1^16*T2^13 + 44*T1^6*T2^14 - 161*T1^7*T2^14 + 
     26*T1^8*T2^14 + 908*T1^9*T2^14 - 1733*T1^10*T2^14 + 1762*T1^11*T2^14 - 
     633*T1^12*T2^14 - 500*T1^13*T2^14 + 950*T1^14*T2^14 - 469*T1^15*T2^14 + 
     88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 266*T1^9*T2^15 + 
     203*T1^10*T2^15 + 105*T1^11*T2^15 - 497*T1^12*T2^15 + 630*T1^13*T2^15 - 
     469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 88*T1^10*T2^16 - 156*T1^11*T2^16 + 188*T1^12*T2^16 - 
     156*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 272] -> 
  {(2 - 14*T + 39*T^2 - 53*T^3 + 39*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-17 + 119*T1 - 333*T1^2 + 453*T1^3 - 333*T1^4 + 119*T1^5 - 17*T1^6 + 
     119*T2 - 770*T1*T2 + 1890*T1^2*T2 - 1932*T1^3*T2 + 644*T1^4*T2 + 
     406*T1^5*T2 - 322*T1^6*T2 + 63*T1^7*T2 - 333*T2^2 + 1890*T1*T2^2 - 
     3463*T1^2*T2^2 + 369*T1^3*T2^2 + 4813*T1^4*T2^2 - 5715*T1^5*T2^2 + 
     2309*T1^6*T2^2 - 294*T1^7*T2^2 - 21*T1^8*T2^2 + 453*T2^3 - 
     1932*T1*T2^3 + 369*T1^2*T2^3 + 11050*T1^3*T2^3 - 19914*T1^4*T2^3 + 
     13464*T1^5*T2^3 - 398*T1^6*T2^3 - 3297*T1^7*T2^3 + 1428*T1^8*T2^3 - 
     183*T1^9*T2^3 - 333*T2^4 + 644*T1*T2^4 + 4813*T1^2*T2^4 - 
     19914*T1^3*T2^4 + 20669*T1^4*T2^4 + 4507*T1^5*T2^4 - 25663*T1^6*T2^4 + 
     18458*T1^7*T2^4 - 3795*T1^8*T2^4 - 756*T1^9*T2^4 + 291*T1^10*T2^4 + 
     119*T2^5 + 406*T1*T2^5 - 5715*T1^2*T2^5 + 13464*T1^3*T2^5 + 
     4507*T1^4*T2^5 - 47611*T1^5*T2^5 + 57979*T1^6*T2^5 - 20414*T1^7*T2^5 - 
     9926*T1^8*T2^5 + 7623*T1^9*T2^5 - 910*T1^10*T2^5 - 161*T1^11*T2^5 - 
     17*T2^6 - 322*T1*T2^6 + 2309*T1^2*T2^6 - 398*T1^3*T2^6 - 
     25663*T1^4*T2^6 + 57979*T1^5*T2^6 - 30000*T1^6*T2^6 - 31987*T1^7*T2^6 + 
     46275*T1^8*T2^6 - 13682*T1^9*T2^6 - 1647*T1^10*T2^6 + 910*T1^11*T2^6 + 
     31*T1^12*T2^6 + 63*T1*T2^7 - 294*T1^2*T2^7 - 3297*T1^3*T2^7 + 
     18458*T1^4*T2^7 - 20414*T1^5*T2^7 - 31987*T1^6*T2^7 + 73603*T1^7*T2^7 - 
     45335*T1^8*T2^7 - 4932*T1^9*T2^7 + 10041*T1^10*T2^7 - 1610*T1^11*T2^7 - 
     217*T1^12*T2^7 - 21*T1^2*T2^8 + 1428*T1^3*T2^8 - 3795*T1^4*T2^8 - 
     9926*T1^5*T2^8 + 46275*T1^6*T2^8 - 45335*T1^7*T2^8 - 57*T1^8*T2^8 + 
     28446*T1^9*T2^8 - 12403*T1^10*T2^8 + 28*T1^11*T2^8 + 603*T1^12*T2^8 - 
     183*T1^3*T2^9 - 756*T1^4*T2^9 + 7623*T1^5*T2^9 - 13682*T1^6*T2^9 - 
     4932*T1^7*T2^9 + 28446*T1^8*T2^9 - 25130*T1^9*T2^9 + 3957*T1^10*T2^9 + 
     2604*T1^11*T2^9 - 819*T1^12*T2^9 + 291*T1^4*T2^10 - 910*T1^5*T2^10 - 
     1647*T1^6*T2^10 + 10041*T1^7*T2^10 - 12403*T1^8*T2^10 + 
     3957*T1^9*T2^10 + 4125*T1^10*T2^10 - 3094*T1^11*T2^10 + 
     603*T1^12*T2^10 - 161*T1^5*T2^11 + 910*T1^6*T2^11 - 1610*T1^7*T2^11 + 
     28*T1^8*T2^11 + 2604*T1^9*T2^11 - 3094*T1^10*T2^11 + 1358*T1^11*T2^11 - 
     217*T1^12*T2^11 + 31*T1^6*T2^12 - 217*T1^7*T2^12 + 603*T1^8*T2^12 - 
     819*T1^9*T2^12 + 603*T1^10*T2^12 - 217*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 273] -> 
  {-((4 - 21*T + 47*T^2 - 61*T^3 + 47*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -(((4 - 21*T1 + 47*T1^2 - 61*T1^3 + 47*T1^4 - 21*T1^5 + 4*T1^6)*
      (1 + T1*T2)*(12 - 42*T1*T2 + 59*T1^2*T2^2 - 42*T1^3*T2^3 + 
       12*T1^4*T2^4)*(4 - 21*T2 + 47*T2^2 - 61*T2^3 + 47*T2^4 - 21*T2^5 + 
       4*T2^6))/(T1^7*T2^6))}, Knot[12, Alternating, 274] -> 
  {(2 - 8*T + 18*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 138*T1^2 + 200*T1^3 - 223*T1^4 + 200*T1^5 - 
     138*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 439*T1^2*T2 - 
     538*T1^3*T2 + 509*T1^4*T2 - 371*T1^5*T2 + 166*T1^6*T2 + 23*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 138*T2^2 + 439*T1*T2^2 - 772*T1^2*T2^2 + 
     733*T1^3*T2^2 - 474*T1^4*T2^2 + 90*T1^5*T2^2 + 318*T1^6*T2^2 - 
     563*T1^7*T2^2 + 380*T1^8*T2^2 - 137*T1^9*T2^2 + 6*T1^10*T2^2 + 
     200*T2^3 - 538*T1*T2^3 + 733*T1^2*T2^3 - 312*T1^3*T2^3 - 151*T1^4*T2^3 + 
     451*T1^5*T2^3 - 605*T1^6*T2^3 + 413*T1^7*T2^3 + 312*T1^8*T2^3 - 
     635*T1^9*T2^3 + 422*T1^10*T2^3 - 112*T1^11*T2^3 - 223*T2^4 + 
     509*T1*T2^4 - 474*T1^2*T2^4 - 151*T1^3*T2^4 + 413*T1^4*T2^4 - 
     231*T1^5*T2^4 + 165*T1^6*T2^4 + 169*T1^7*T2^4 - 811*T1^8*T2^4 + 
     473*T1^9*T2^4 + 374*T1^10*T2^4 - 515*T1^11*T2^4 + 241*T1^12*T2^4 + 
     200*T2^5 - 371*T1*T2^5 + 90*T1^2*T2^5 + 451*T1^3*T2^5 - 231*T1^4*T2^5 - 
     566*T1^5*T2^5 + 676*T1^6*T2^5 - 1200*T1^7*T2^5 + 1554*T1^8*T2^5 - 
     451*T1^9*T2^5 - 637*T1^10*T2^5 + 42*T1^11*T2^5 + 317*T1^12*T2^5 - 
     320*T1^13*T2^5 - 138*T2^6 + 166*T1*T2^6 + 318*T1^2*T2^6 - 
     605*T1^3*T2^6 + 165*T1^4*T2^6 + 676*T1^5*T2^6 - 213*T1^6*T2^6 + 
     693*T1^7*T2^6 - 249*T1^8*T2^6 - 1268*T1^9*T2^6 + 1501*T1^10*T2^6 + 
     403*T1^11*T2^6 - 362*T1^12*T2^6 + 102*T1^13*T2^6 + 294*T1^14*T2^6 + 
     61*T2^7 + 23*T1*T2^7 - 563*T1^2*T2^7 + 413*T1^3*T2^7 + 169*T1^4*T2^7 - 
     1200*T1^5*T2^7 + 693*T1^6*T2^7 - 1792*T1^7*T2^7 + 914*T1^8*T2^7 + 
     65*T1^9*T2^7 + 540*T1^10*T2^7 - 2091*T1^11*T2^7 + 89*T1^12*T2^7 + 
     373*T1^13*T2^7 - 521*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 380*T1^2*T2^8 + 312*T1^3*T2^8 - 811*T1^4*T2^8 + 
     1554*T1^5*T2^8 - 249*T1^6*T2^8 + 914*T1^7*T2^8 + 1092*T1^8*T2^8 - 
     1654*T1^9*T2^8 + 999*T1^10*T2^8 - 206*T1^11*T2^8 + 2645*T1^12*T2^8 - 
     1272*T1^13*T2^8 + 476*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 137*T1^2*T2^9 - 635*T1^3*T2^9 + 473*T1^4*T2^9 - 
     451*T1^5*T2^9 - 1268*T1^6*T2^9 + 65*T1^7*T2^9 - 1654*T1^8*T2^9 + 
     1052*T1^9*T2^9 - 563*T1^10*T2^9 + 472*T1^11*T2^9 - 2711*T1^12*T2^9 + 
     149*T1^13*T2^9 + 301*T1^14*T2^9 - 681*T1^15*T2^9 - 195*T1^16*T2^9 + 
     6*T1^2*T2^10 + 422*T1^3*T2^10 + 374*T1^4*T2^10 - 637*T1^5*T2^10 + 
     1501*T1^6*T2^10 + 540*T1^7*T2^10 + 999*T1^8*T2^10 - 563*T1^9*T2^10 + 
     963*T1^10*T2^10 - 1404*T1^11*T2^10 + 2837*T1^12*T2^10 + 
     371*T1^13*T2^10 - 306*T1^14*T2^10 + 358*T1^15*T2^10 + 438*T1^16*T2^10 - 
     112*T1^3*T2^11 - 515*T1^4*T2^11 + 42*T1^5*T2^11 + 403*T1^6*T2^11 - 
     2091*T1^7*T2^11 - 206*T1^8*T2^11 + 472*T1^9*T2^11 - 1404*T1^10*T2^11 + 
     1914*T1^11*T2^11 - 2311*T1^12*T2^11 - 685*T1^13*T2^11 - 6*T1^14*T2^11 + 
     173*T1^15*T2^11 - 632*T1^16*T2^11 + 241*T1^4*T2^12 + 317*T1^5*T2^12 - 
     362*T1^6*T2^12 + 89*T1^7*T2^12 + 2645*T1^8*T2^12 - 2711*T1^9*T2^12 + 
     2837*T1^10*T2^12 - 2311*T1^11*T2^12 + 1421*T1^12*T2^12 + 
     713*T1^13*T2^12 + 486*T1^14*T2^12 - 707*T1^15*T2^12 + 705*T1^16*T2^12 - 
     320*T1^5*T2^13 + 102*T1^6*T2^13 + 373*T1^7*T2^13 - 1272*T1^8*T2^13 + 
     149*T1^9*T2^13 + 371*T1^10*T2^13 - 685*T1^11*T2^13 + 713*T1^12*T2^13 - 
     648*T1^13*T2^13 - 995*T1^14*T2^13 + 1062*T1^15*T2^13 - 632*T1^16*T2^13 + 
     294*T1^6*T2^14 - 521*T1^7*T2^14 + 476*T1^8*T2^14 + 301*T1^9*T2^14 - 
     306*T1^10*T2^14 - 6*T1^11*T2^14 + 486*T1^12*T2^14 - 995*T1^13*T2^14 + 
     1628*T1^14*T2^14 - 1097*T1^15*T2^14 + 438*T1^16*T2^14 - 163*T1^7*T2^15 + 
     454*T1^8*T2^15 - 681*T1^9*T2^15 + 358*T1^10*T2^15 + 173*T1^11*T2^15 - 
     707*T1^12*T2^15 + 1062*T1^13*T2^15 - 1097*T1^14*T2^15 + 
     614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 
     438*T1^10*T2^16 - 632*T1^11*T2^16 + 705*T1^12*T2^16 - 632*T1^13*T2^16 + 
     438*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 275] -> 
  {(4 - 18*T + 41*T^2 - 53*T^3 + 41*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-112 + 516*T1 - 1184*T1^2 + 1536*T1^3 - 1184*T1^4 + 516*T1^5 - 112*T1^6 + 
     516*T2 - 2138*T1*T2 + 4350*T1^2*T2 - 4558*T1^3*T2 + 2210*T1^4*T2 + 
     102*T1^5*T2 - 554*T1^6*T2 + 228*T1^7*T2 - 1184*T2^2 + 4350*T1*T2^2 - 
     7265*T1^2*T2^2 + 4066*T1^3*T2^2 + 3591*T1^4*T2^2 - 7414*T1^5*T2^2 + 
     4871*T1^6*T2^2 - 1554*T1^7*T2^2 + 128*T1^8*T2^2 + 1536*T2^3 - 
     4558*T1*T2^3 + 4066*T1^2*T2^3 + 6370*T1^3*T2^3 - 17590*T1^4*T2^3 + 
     14258*T1^5*T2^3 - 920*T1^6*T2^3 - 5774*T1^7*T2^3 + 3938*T1^8*T2^3 - 
     1008*T1^9*T2^3 - 1184*T2^4 + 2210*T1*T2^4 + 3591*T1^2*T2^4 - 
     17590*T1^3*T2^4 + 22362*T1^4*T2^4 - 1914*T1^5*T2^4 - 20146*T1^6*T2^4 + 
     18238*T1^7*T2^4 - 3857*T1^8*T2^4 - 1966*T1^9*T2^4 + 1440*T1^10*T2^4 + 
     516*T2^5 + 102*T1*T2^5 - 7414*T1^2*T2^5 + 14258*T1^3*T2^5 - 
     1914*T1^4*T2^5 - 34621*T1^5*T2^5 + 46935*T1^6*T2^5 - 18683*T1^7*T2^5 - 
     9630*T1^8*T2^5 + 8986*T1^9*T2^5 - 2274*T1^10*T2^5 - 924*T1^11*T2^5 - 
     112*T2^6 - 554*T1*T2^6 + 4871*T1^2*T2^6 - 920*T1^3*T2^6 - 
     20146*T1^4*T2^6 + 46935*T1^5*T2^6 - 25044*T1^6*T2^6 - 24511*T1^7*T2^6 + 
     39496*T1^8*T2^6 - 13388*T1^9*T2^6 - 1073*T1^10*T2^6 + 2902*T1^11*T2^6 + 
     272*T1^12*T2^6 + 228*T1*T2^7 - 1554*T1^2*T2^7 - 5774*T1^3*T2^7 + 
     18238*T1^4*T2^7 - 18683*T1^5*T2^7 - 24511*T1^6*T2^7 + 57045*T1^7*T2^7 - 
     35452*T1^8*T2^7 - 5650*T1^9*T2^7 + 10626*T1^10*T2^7 - 3930*T1^11*T2^7 - 
     1212*T1^12*T2^7 + 128*T1^2*T2^8 + 3938*T1^3*T2^8 - 3857*T1^4*T2^8 - 
     9630*T1^5*T2^8 + 39496*T1^6*T2^8 - 35452*T1^7*T2^8 - 3012*T1^8*T2^8 + 
     26198*T1^9*T2^8 - 11305*T1^10*T2^8 - 238*T1^11*T2^8 + 2752*T1^12*T2^8 - 
     1008*T1^3*T2^9 - 1966*T1^4*T2^9 + 8986*T1^5*T2^9 - 13388*T1^6*T2^9 - 
     5650*T1^7*T2^9 + 26198*T1^8*T2^9 - 20678*T1^9*T2^9 - 854*T1^10*T2^9 + 
     6530*T1^11*T2^9 - 3552*T1^12*T2^9 + 1440*T1^4*T2^10 - 2274*T1^5*T2^10 - 
     1073*T1^6*T2^10 + 10626*T1^7*T2^10 - 11305*T1^8*T2^10 - 854*T1^9*T2^10 + 
     11063*T1^10*T2^10 - 8178*T1^11*T2^10 + 2752*T1^12*T2^10 - 
     924*T1^5*T2^11 + 2902*T1^6*T2^11 - 3930*T1^7*T2^11 - 238*T1^8*T2^11 + 
     6530*T1^9*T2^11 - 8178*T1^10*T2^11 + 4486*T1^11*T2^11 - 
     1212*T1^12*T2^11 + 272*T1^6*T2^12 - 1212*T1^7*T2^12 + 2752*T1^8*T2^12 - 
     3552*T1^9*T2^12 + 2752*T1^10*T2^12 - 1212*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 276] -> 
  {(3 - 10*T + 20*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 20*T^6 - 10*T^7 + 3*T^8)/
    T^4, -((219 - 722*T1 + 1434*T1^2 - 2071*T1^3 + 2355*T1^4 - 2071*T1^5 + 
      1434*T1^6 - 722*T1^7 + 219*T1^8 - 722*T2 + 1758*T1*T2 - 2670*T1^2*T2 + 
      2726*T1^3*T2 - 1817*T1^4*T2 + 43*T1^5*T2 + 1256*T1^6*T2 - 
      1770*T1^7*T2 + 1368*T1^8*T2 - 632*T1^9*T2 + 1434*T2^2 - 2670*T1*T2^2 + 
      3579*T1^2*T2^2 - 3306*T1^3*T2^2 + 2412*T1^4*T2^2 - 885*T1^5*T2^2 + 
      852*T1^6*T2^2 - 1026*T1^7*T2^2 + 1539*T1^8*T2^2 - 1470*T1^9*T2^2 + 
      1074*T1^10*T2^2 - 2071*T2^3 + 2726*T1*T2^3 - 3306*T1^2*T2^3 + 
      2491*T1^3*T2^3 - 1606*T1^4*T2^3 - 74*T1^5*T2^3 - 463*T1^6*T2^3 - 
      183*T1^7*T2^3 + 139*T1^8*T2^3 - 686*T1^9*T2^3 + 716*T1^10*T2^3 - 
      1288*T1^11*T2^3 + 2355*T2^4 - 1817*T1*T2^4 + 2412*T1^2*T2^4 - 
      1606*T1^3*T2^4 + 1619*T1^4*T2^4 - 498*T1^5*T2^4 + 2021*T1^6*T2^4 - 
      514*T1^7*T2^4 + 759*T1^8*T2^4 + 18*T1^9*T2^4 + 292*T1^10*T2^4 + 
      403*T1^11*T2^4 + 1167*T1^12*T2^4 - 2071*T2^5 + 43*T1*T2^5 - 
      885*T1^2*T2^5 - 74*T1^3*T2^5 - 498*T1^4*T2^5 - 503*T1^5*T2^5 - 
      1429*T1^6*T2^5 - 929*T1^7*T2^5 - 273*T1^8*T2^5 - 423*T1^9*T2^5 - 
      429*T1^10*T2^5 - 345*T1^11*T2^5 - 1337*T1^12*T2^5 - 766*T1^13*T2^5 + 
      1434*T2^6 + 1256*T1*T2^6 + 852*T1^2*T2^6 - 463*T1^3*T2^6 + 
      2021*T1^4*T2^6 - 1429*T1^5*T2^6 + 3353*T1^6*T2^6 - 261*T1^7*T2^6 + 
      2113*T1^8*T2^6 - 709*T1^9*T2^6 + 1341*T1^10*T2^6 - 23*T1^11*T2^6 + 
      1292*T1^12*T2^6 + 1376*T1^13*T2^6 + 354*T1^14*T2^6 - 722*T2^7 - 
      1770*T1*T2^7 - 1026*T1^2*T2^7 - 183*T1^3*T2^7 - 514*T1^4*T2^7 - 
      929*T1^5*T2^7 - 261*T1^6*T2^7 - 2339*T1^7*T2^7 - 995*T1^8*T2^7 - 
      134*T1^9*T2^7 - 989*T1^10*T2^7 - 225*T1^11*T2^7 - 802*T1^12*T2^7 - 
      1606*T1^13*T2^7 - 870*T1^14*T2^7 - 92*T1^15*T2^7 + 219*T2^8 + 
      1368*T1*T2^8 + 1539*T1^2*T2^8 + 139*T1^3*T2^8 + 759*T1^4*T2^8 - 
      273*T1^5*T2^8 + 2113*T1^6*T2^8 - 995*T1^7*T2^8 + 4296*T1^8*T2^8 - 
      1941*T1^9*T2^8 + 2031*T1^10*T2^8 - 179*T1^11*T2^8 + 603*T1^12*T2^8 + 
      1181*T1^13*T2^8 + 1299*T1^14*T2^8 + 288*T1^15*T2^8 + 3*T1^16*T2^8 - 
      632*T1*T2^9 - 1470*T1^2*T2^9 - 686*T1^3*T2^9 + 18*T1^4*T2^9 - 
      423*T1^5*T2^9 - 709*T1^6*T2^9 - 134*T1^7*T2^9 - 1941*T1^8*T2^9 - 
      597*T1^9*T2^9 - 7*T1^10*T2^9 - 769*T1^11*T2^9 - 134*T1^12*T2^9 - 
      601*T1^13*T2^9 - 1266*T1^14*T2^9 - 570*T1^15*T2^9 - 2*T1^16*T2^9 + 
      1074*T1^2*T2^10 + 716*T1^3*T2^10 + 292*T1^4*T2^10 - 429*T1^5*T2^10 + 
      1341*T1^6*T2^10 - 989*T1^7*T2^10 + 2031*T1^8*T2^10 - 7*T1^9*T2^10 + 
      791*T1^10*T2^10 - 269*T1^11*T2^10 + 661*T1^12*T2^10 + 11*T1^13*T2^10 + 
      732*T1^14*T2^10 + 836*T1^15*T2^10 - 6*T1^16*T2^10 - 1288*T1^3*T2^11 + 
      403*T1^4*T2^11 - 345*T1^5*T2^11 - 23*T1^6*T2^11 - 225*T1^7*T2^11 - 
      179*T1^8*T2^11 - 769*T1^9*T2^11 - 269*T1^10*T2^11 + 51*T1^11*T2^11 - 
      150*T1^12*T2^11 - 378*T1^13*T2^11 + 195*T1^14*T2^11 - 977*T1^15*T2^11 + 
      17*T1^16*T2^11 + 1167*T1^4*T2^12 - 1337*T1^5*T2^12 + 1292*T1^6*T2^12 - 
      802*T1^7*T2^12 + 603*T1^8*T2^12 - 134*T1^9*T2^12 + 661*T1^10*T2^12 - 
      150*T1^11*T2^12 - 257*T1^12*T2^12 + 822*T1^13*T2^12 - 828*T1^14*T2^12 + 
      883*T1^15*T2^12 - 21*T1^16*T2^12 - 766*T1^5*T2^13 + 1376*T1^6*T2^13 - 
      1606*T1^7*T2^13 + 1181*T1^8*T2^13 - 601*T1^9*T2^13 + 11*T1^10*T2^13 - 
      378*T1^11*T2^13 + 822*T1^12*T2^13 - 1171*T1^13*T2^13 + 
      1014*T1^14*T2^13 - 634*T1^15*T2^13 + 17*T1^16*T2^13 + 354*T1^6*T2^14 - 
      870*T1^7*T2^14 + 1299*T1^8*T2^14 - 1266*T1^9*T2^14 + 732*T1^10*T2^14 + 
      195*T1^11*T2^14 - 828*T1^12*T2^14 + 1014*T1^13*T2^14 - 
      741*T1^14*T2^14 + 330*T1^15*T2^14 - 6*T1^16*T2^14 - 92*T1^7*T2^15 + 
      288*T1^8*T2^15 - 570*T1^9*T2^15 + 836*T1^10*T2^15 - 977*T1^11*T2^15 + 
      883*T1^12*T2^15 - 634*T1^13*T2^15 + 330*T1^14*T2^15 - 102*T1^15*T2^15 - 
      2*T1^16*T2^15 + 3*T1^8*T2^16 - 2*T1^9*T2^16 - 6*T1^10*T2^16 + 
      17*T1^11*T2^16 - 21*T1^12*T2^16 + 17*T1^13*T2^16 - 6*T1^14*T2^16 - 
      2*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 277] -> 
  {(5 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 5*T^6)/T^3, 
   -((790 - 2656*T1 + 4822*T1^2 - 5746*T1^3 + 4822*T1^4 - 2656*T1^5 + 
      790*T1^6 - 2656*T2 + 6723*T1*T2 - 8767*T1^2*T2 + 5763*T1^3*T2 - 
      17*T1^4*T2 - 4687*T1^5*T2 + 4853*T1^6*T2 - 2231*T1^7*T2 + 4822*T2^2 - 
      8767*T1*T2^2 + 7366*T1^2*T2^2 + 252*T1^3*T2^2 - 6008*T1^4*T2^2 + 
      6452*T1^5*T2^2 - 694*T1^6*T2^2 - 3497*T1^7*T2^2 + 3272*T1^8*T2^2 - 
      5746*T2^3 + 5763*T1*T2^3 + 252*T1^2*T2^3 - 8476*T1^3*T2^3 + 
      7673*T1^4*T2^3 - 1523*T1^5*T2^3 - 6490*T1^6*T2^3 + 5863*T1^7*T2^3 - 
      1037*T1^8*T2^3 - 2971*T1^9*T2^3 + 4822*T2^4 - 17*T1*T2^4 - 
      6008*T1^2*T2^4 + 7673*T1^3*T2^4 + 1973*T1^4*T2^4 - 9145*T1^5*T2^4 + 
      11013*T1^6*T2^4 - 2095*T1^7*T2^4 - 3842*T1^8*T2^4 + 4233*T1^9*T2^4 + 
      1722*T1^10*T2^4 - 2656*T2^5 - 4687*T1*T2^5 + 6452*T1^2*T2^5 - 
      1523*T1^3*T2^5 - 9145*T1^4*T2^5 + 8759*T1^5*T2^5 - 2699*T1^6*T2^5 - 
      7316*T1^7*T2^5 + 6529*T1^8*T2^5 - 1515*T1^9*T2^5 - 4007*T1^10*T2^5 - 
      531*T1^11*T2^5 + 790*T2^6 + 4853*T1*T2^6 - 694*T1^2*T2^6 - 
      6490*T1^3*T2^6 + 11013*T1^4*T2^6 - 2699*T1^5*T2^6 - 4752*T1^6*T2^6 + 
      8235*T1^7*T2^6 - 837*T1^8*T2^6 - 4102*T1^9*T2^6 + 4698*T1^10*T2^6 + 
      1623*T1^11*T2^6 + 40*T1^12*T2^6 - 2231*T1*T2^7 - 3497*T1^2*T2^7 + 
      5863*T1^3*T2^7 - 2095*T1^4*T2^7 - 7316*T1^5*T2^7 + 8235*T1^6*T2^7 - 
      3223*T1^7*T2^7 - 5487*T1^8*T2^7 + 5957*T1^9*T2^7 - 2104*T1^10*T2^7 - 
      2817*T1^11*T2^7 - 106*T1^12*T2^7 + 3272*T1^2*T2^8 - 1037*T1^3*T2^8 - 
      3842*T1^4*T2^8 + 6529*T1^5*T2^8 - 837*T1^6*T2^8 - 5487*T1^7*T2^8 + 
      8203*T1^8*T2^8 - 3239*T1^9*T2^8 - 1676*T1^10*T2^8 + 3213*T1^11*T2^8 + 
      172*T1^12*T2^8 - 2971*T1^3*T2^9 + 4233*T1^4*T2^9 - 1515*T1^5*T2^9 - 
      4102*T1^6*T2^9 + 5957*T1^7*T2^9 - 3239*T1^8*T2^9 - 2116*T1^9*T2^9 + 
      4096*T1^10*T2^9 - 2567*T1^11*T2^9 - 196*T1^12*T2^9 + 1722*T1^4*T2^10 - 
      4007*T1^5*T2^10 + 4698*T1^6*T2^10 - 2104*T1^7*T2^10 - 1676*T1^8*T2^10 + 
      4096*T1^9*T2^10 - 3362*T1^10*T2^10 + 1263*T1^11*T2^10 + 
      172*T1^12*T2^10 - 531*T1^5*T2^11 + 1623*T1^6*T2^11 - 2817*T1^7*T2^11 + 
      3213*T1^8*T2^11 - 2567*T1^9*T2^11 + 1263*T1^10*T2^11 - 
      247*T1^11*T2^11 - 106*T1^12*T2^11 + 40*T1^6*T2^12 - 106*T1^7*T2^12 + 
      172*T1^8*T2^12 - 196*T1^9*T2^12 + 172*T1^10*T2^12 - 106*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 278] -> 
  {-((1 - 7*T + 18*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 18*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 54*T1^2 + 84*T1^3 - 93*T1^4 + 84*T1^5 - 54*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 280*T1^2*T2 - 336*T1^3*T2 + 
      259*T1^4*T2 - 154*T1^5*T2 - 14*T1^6*T2 + 105*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 54*T2^2 + 280*T1*T2^2 - 299*T1^2*T2^2 - 139*T1^3*T2^2 + 
      761*T1^4*T2^2 - 1035*T1^5*T2^2 + 1229*T1^6*T2^2 - 895*T1^7*T2^2 + 
      313*T1^8*T2^2 + 28*T1^9*T2^2 - 18*T1^10*T2^2 + 84*T2^3 - 336*T1*T2^3 - 
      139*T1^2*T2^3 + 1310*T1^3*T2^3 - 2150*T1^4*T2^3 + 1898*T1^5*T2^3 - 
      1672*T1^6*T2^3 + 454*T1^7*T2^3 + 596*T1^8*T2^3 - 643*T1^9*T2^3 + 
      126*T1^10*T2^3 - 93*T2^4 + 259*T1*T2^4 + 761*T1^2*T2^4 - 
      2150*T1^3*T2^4 + 2248*T1^4*T2^4 - 906*T1^5*T2^4 + 300*T1^6*T2^4 + 
      1586*T1^7*T2^4 - 2264*T1^8*T2^4 + 1042*T1^9*T2^4 + 249*T1^10*T2^4 - 
      217*T1^11*T2^4 + 31*T1^12*T2^4 + 84*T2^5 - 154*T1*T2^5 - 
      1035*T1^2*T2^5 + 1898*T1^3*T2^5 - 906*T1^4*T2^5 - 821*T1^5*T2^5 + 
      863*T1^6*T2^5 - 2427*T1^7*T2^5 + 1685*T1^8*T2^5 + 1033*T1^9*T2^5 - 
      1868*T1^10*T2^5 + 498*T1^11*T2^5 + 175*T1^12*T2^5 - 56*T1^13*T2^5 - 
      54*T2^6 - 14*T1*T2^6 + 1229*T1^2*T2^6 - 1672*T1^3*T2^6 + 
      300*T1^4*T2^6 + 863*T1^5*T2^6 - 448*T1^6*T2^6 + 2016*T1^7*T2^6 - 
      568*T1^8*T2^6 - 2077*T1^9*T2^6 + 668*T1^10*T2^6 + 1604*T1^11*T2^6 - 
      1199*T1^12*T2^6 + 14*T1^13*T2^6 + 54*T1^14*T2^6 + 21*T2^7 + 
      105*T1*T2^7 - 895*T1^2*T2^7 + 454*T1^3*T2^7 + 1586*T1^4*T2^7 - 
      2427*T1^5*T2^7 + 2016*T1^6*T2^7 - 2763*T1^7*T2^7 + 219*T1^8*T2^7 + 
      1876*T1^9*T2^7 + 1563*T1^10*T2^7 - 2565*T1^11*T2^7 + 202*T1^12*T2^7 + 
      1121*T1^13*T2^7 - 182*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 
      77*T1*T2^8 + 313*T1^2*T2^8 + 596*T1^3*T2^8 - 2264*T1^4*T2^8 + 
      1685*T1^5*T2^8 - 568*T1^6*T2^8 + 219*T1^7*T2^8 + 1548*T1^8*T2^8 - 
      1671*T1^9*T2^8 - 2704*T1^10*T2^8 + 943*T1^11*T2^8 + 2104*T1^12*T2^8 - 
      1840*T1^13*T2^8 - 305*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 28*T1^2*T2^9 - 643*T1^3*T2^9 + 1042*T1^4*T2^9 + 
      1033*T1^5*T2^9 - 2077*T1^6*T2^9 + 1876*T1^7*T2^9 - 1671*T1^8*T2^9 + 
      1311*T1^9*T2^9 + 1736*T1^10*T2^9 + 1913*T1^11*T2^9 - 3118*T1^12*T2^9 + 
      790*T1^13*T2^9 + 1373*T1^14*T2^9 - 259*T1^15*T2^9 - 35*T1^16*T2^9 - 
      18*T1^2*T2^10 + 126*T1^3*T2^10 + 249*T1^4*T2^10 - 1868*T1^5*T2^10 + 
      668*T1^6*T2^10 + 1563*T1^7*T2^10 - 2704*T1^8*T2^10 + 1736*T1^9*T2^10 - 
      2824*T1^10*T2^10 - 1377*T1^11*T2^10 + 1036*T1^12*T2^10 + 
      1408*T1^13*T2^10 - 2179*T1^14*T2^10 + 154*T1^15*T2^10 + 
      90*T1^16*T2^10 - 217*T1^4*T2^11 + 498*T1^5*T2^11 + 1604*T1^6*T2^11 - 
      2565*T1^7*T2^11 + 943*T1^8*T2^11 + 1913*T1^9*T2^11 - 1377*T1^10*T2^11 + 
      3449*T1^11*T2^11 - 626*T1^12*T2^11 - 2162*T1^13*T2^11 + 
      2031*T1^14*T2^11 + 112*T1^15*T2^11 - 140*T1^16*T2^11 + 31*T1^4*T2^12 + 
      175*T1^5*T2^12 - 1199*T1^6*T2^12 + 202*T1^7*T2^12 + 2104*T1^8*T2^12 - 
      3118*T1^9*T2^12 + 1036*T1^10*T2^12 - 626*T1^11*T2^12 - 
      2408*T1^12*T2^12 + 3394*T1^13*T2^12 - 1711*T1^14*T2^12 - 
      301*T1^15*T2^12 + 155*T1^16*T2^12 - 56*T1^5*T2^13 + 14*T1^6*T2^13 + 
      1121*T1^7*T2^13 - 1840*T1^8*T2^13 + 790*T1^9*T2^13 + 1408*T1^10*T2^13 - 
      2162*T1^11*T2^13 + 3394*T1^12*T2^13 - 2554*T1^13*T2^13 + 
      617*T1^14*T2^13 + 476*T1^15*T2^13 - 140*T1^16*T2^13 + 54*T1^6*T2^14 - 
      182*T1^7*T2^14 - 305*T1^8*T2^14 + 1373*T1^9*T2^14 - 2179*T1^10*T2^14 + 
      2031*T1^11*T2^14 - 1711*T1^12*T2^14 + 617*T1^13*T2^14 + 
      307*T1^14*T2^14 - 434*T1^15*T2^14 + 90*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 259*T1^9*T2^15 + 154*T1^10*T2^15 + 112*T1^11*T2^15 - 
      301*T1^12*T2^15 + 476*T1^13*T2^15 - 434*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 90*T1^10*T2^16 - 
      140*T1^11*T2^16 + 155*T1^12*T2^16 - 140*T1^13*T2^16 + 90*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 279] -> 
  {-(((-2 + 5*T - 5*T^2 + T^3)*(-1 + 5*T - 5*T^2 + 2*T^3))/T^3), 
   -((-23 + 173*T1 - 462*T1^2 + 635*T1^3 - 462*T1^4 + 173*T1^5 - 23*T1^6 + 
      173*T2 - 1188*T1*T2 + 2623*T1^2*T2 - 2501*T1^3*T2 + 349*T1^4*T2 + 
      973*T1^5*T2 - 678*T1^6*T2 + 113*T1^7*T2 - 462*T2^2 + 2623*T1*T2^2 - 
      2979*T1^2*T2^2 - 3394*T1^3*T2^2 + 11507*T1^4*T2^2 - 9794*T1^5*T2^2 + 
      3101*T1^6*T2^2 + 223*T1^7*T2^2 - 142*T1^8*T2^2 + 635*T2^3 - 
      2501*T1*T2^3 - 3394*T1^2*T2^3 + 20300*T1^3*T2^3 - 28309*T1^4*T2^3 + 
      10541*T1^5*T2^3 + 6110*T1^6*T2^3 - 6394*T1^7*T2^3 + 1249*T1^8*T2^3 - 
      25*T1^9*T2^3 - 462*T2^4 + 349*T1*T2^4 + 11507*T1^2*T2^4 - 
      28309*T1^3*T2^4 + 17337*T1^4*T2^4 + 23197*T1^5*T2^4 - 36503*T1^6*T2^4 + 
      16791*T1^7*T2^4 - 443*T1^8*T2^4 - 1151*T1^9*T2^4 + 178*T1^10*T2^4 + 
      173*T2^5 + 973*T1*T2^5 - 9794*T1^2*T2^5 + 10541*T1^3*T2^5 + 
      23197*T1^4*T2^5 - 64044*T1^5*T2^5 + 48506*T1^6*T2^5 - 1203*T1^7*T2^5 - 
      15809*T1^8*T2^5 + 6806*T1^9*T2^5 - 377*T1^10*T2^5 - 127*T1^11*T2^5 - 
      23*T2^6 - 678*T1*T2^6 + 3101*T1^2*T2^6 + 6110*T1^3*T2^6 - 
      36503*T1^4*T2^6 + 48506*T1^5*T2^6 - 3996*T1^6*T2^6 - 45654*T1^7*T2^6 + 
      36557*T1^8*T2^6 - 7210*T1^9*T2^6 - 3039*T1^10*T2^6 + 762*T1^11*T2^6 + 
      25*T1^12*T2^6 + 113*T1*T2^7 + 223*T1^2*T2^7 - 6394*T1^3*T2^7 + 
      16791*T1^4*T2^7 - 1203*T1^5*T2^7 - 45654*T1^6*T2^7 + 66896*T1^7*T2^7 - 
      25603*T1^8*T2^7 - 9559*T1^9*T2^7 + 10206*T1^10*T2^7 - 1127*T1^11*T2^7 - 
      187*T1^12*T2^7 - 142*T1^2*T2^8 + 1249*T1^3*T2^8 - 443*T1^4*T2^8 - 
      15809*T1^5*T2^8 + 36557*T1^6*T2^8 - 25603*T1^7*T2^8 - 17283*T1^8*T2^8 + 
      29291*T1^9*T2^8 - 12393*T1^10*T2^8 - 251*T1^11*T2^8 + 498*T1^12*T2^8 - 
      25*T1^3*T2^9 - 1151*T1^4*T2^9 + 6806*T1^5*T2^9 - 7210*T1^6*T2^9 - 
      9559*T1^7*T2^9 + 29291*T1^8*T2^9 - 21400*T1^9*T2^9 + 3806*T1^10*T2^9 + 
      2599*T1^11*T2^9 - 685*T1^12*T2^9 + 178*T1^4*T2^10 - 377*T1^5*T2^10 - 
      3039*T1^6*T2^10 + 10206*T1^7*T2^10 - 12393*T1^8*T2^10 + 
      3806*T1^9*T2^10 + 3041*T1^10*T2^10 - 2777*T1^11*T2^10 + 
      498*T1^12*T2^10 - 127*T1^5*T2^11 + 762*T1^6*T2^11 - 1127*T1^7*T2^11 - 
      251*T1^8*T2^11 + 2599*T1^9*T2^11 - 2777*T1^10*T2^11 + 
      1272*T1^11*T2^11 - 187*T1^12*T2^11 + 25*T1^6*T2^12 - 187*T1^7*T2^12 + 
      498*T1^8*T2^12 - 685*T1^9*T2^12 + 498*T1^10*T2^12 - 187*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 280] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 35*T1 - 110*T1^2 + 210*T1^3 - 255*T1^4 + 210*T1^5 - 110*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 854*T1^3*T2 + 
      609*T1^4*T2 - 42*T1^5*T2 - 406*T1^6*T2 + 371*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 767*T1^3*T2^2 + 
      1176*T1^4*T2^2 - 2613*T1^5*T2^2 + 2452*T1^6*T2^2 - 773*T1^7*T2^2 - 
      189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 210*T2^3 - 
      854*T1*T2^3 + 767*T1^2*T2^3 + 1580*T1^3*T2^3 - 5583*T1^4*T2^3 + 
      5045*T1^5*T2^3 - 1213*T1^6*T2^3 - 3035*T1^7*T2^3 + 2532*T1^8*T2^3 - 
      773*T1^9*T2^3 - 126*T1^10*T2^3 + 84*T1^11*T2^3 - 255*T2^4 + 
      609*T1*T2^4 + 1176*T1^2*T2^4 - 5583*T1^3*T2^4 + 8580*T1^4*T2^4 - 
      1053*T1^5*T2^4 - 6488*T1^6*T2^4 + 8859*T1^7*T2^4 - 1800*T1^8*T2^4 - 
      1803*T1^9*T2^4 + 1548*T1^10*T2^4 - 231*T1^11*T2^4 - 51*T1^12*T2^4 + 
      210*T2^5 - 42*T1*T2^5 - 2613*T1^2*T2^5 + 5045*T1^3*T2^5 - 
      1053*T1^4*T2^5 - 13965*T1^5*T2^5 + 16164*T1^6*T2^5 - 7314*T1^7*T2^5 - 
      7917*T1^8*T2^5 + 7494*T1^9*T2^5 - 2305*T1^10*T2^5 - 660*T1^11*T2^5 + 
      357*T1^12*T2^5 - 110*T2^6 - 406*T1*T2^6 + 2452*T1^2*T2^6 - 
      1213*T1^3*T2^6 - 6488*T1^4*T2^6 + 16164*T1^5*T2^6 - 1453*T1^6*T2^6 - 
      16407*T1^7*T2^6 + 25235*T1^8*T2^6 - 9120*T1^9*T2^6 - 2024*T1^10*T2^6 + 
      3407*T1^11*T2^6 - 632*T1^12*T2^6 - 154*T1^13*T2^6 + 22*T1^14*T2^6 + 
      35*T2^7 + 371*T1*T2^7 - 773*T1^2*T2^7 - 3035*T1^3*T2^7 + 
      8859*T1^4*T2^7 - 7314*T1^5*T2^7 - 16407*T1^6*T2^7 + 26465*T1^7*T2^7 - 
      17271*T1^8*T2^7 - 8063*T1^9*T2^7 + 12552*T1^10*T2^7 - 5148*T1^11*T2^7 - 
      655*T1^12*T2^7 + 767*T1^13*T2^7 - 56*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2532*T1^3*T2^8 - 
      1800*T1^4*T2^8 - 7917*T1^5*T2^8 + 25235*T1^6*T2^8 - 17271*T1^7*T2^8 - 
      5256*T1^8*T2^8 + 23399*T1^9*T2^8 - 13617*T1^10*T2^8 - 483*T1^11*T2^8 + 
      4156*T1^12*T2^8 - 1360*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 773*T1^3*T2^9 - 
      1803*T1^4*T2^9 + 7494*T1^5*T2^9 - 9120*T1^6*T2^9 - 8063*T1^7*T2^9 + 
      23399*T1^8*T2^9 - 20337*T1^9*T2^9 + 281*T1^10*T2^9 + 10746*T1^11*T2^9 - 
      6513*T1^12*T2^9 + 577*T1^13*T2^9 + 767*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 126*T1^3*T2^10 + 1548*T1^4*T2^10 - 
      2305*T1^5*T2^10 - 2024*T1^6*T2^10 + 12552*T1^7*T2^10 - 
      13617*T1^8*T2^10 + 281*T1^9*T2^10 + 13071*T1^10*T2^10 - 
      12732*T1^11*T2^10 + 2440*T1^12*T2^10 + 2315*T1^13*T2^10 - 
      1536*T1^14*T2^10 + 126*T1^15*T2^10 + 66*T1^16*T2^10 + 84*T1^3*T2^11 - 
      231*T1^4*T2^11 - 660*T1^5*T2^11 + 3407*T1^6*T2^11 - 5148*T1^7*T2^11 - 
      483*T1^8*T2^11 + 10746*T1^9*T2^11 - 12732*T1^10*T2^11 + 
      5565*T1^11*T2^11 + 3399*T1^12*T2^11 - 3943*T1^13*T2^11 + 
      1293*T1^14*T2^11 + 168*T1^15*T2^11 - 126*T1^16*T2^11 - 51*T1^4*T2^12 + 
      357*T1^5*T2^12 - 632*T1^6*T2^12 - 655*T1^7*T2^12 + 4156*T1^8*T2^12 - 
      6513*T1^9*T2^12 + 2440*T1^10*T2^12 + 3399*T1^11*T2^12 - 
      6224*T1^12*T2^12 + 3125*T1^13*T2^12 - 260*T1^14*T2^12 - 
      483*T1^15*T2^12 + 153*T1^16*T2^12 - 154*T1^6*T2^13 + 767*T1^7*T2^13 - 
      1360*T1^8*T2^13 + 577*T1^9*T2^13 + 2315*T1^10*T2^13 - 
      3943*T1^11*T2^13 + 3125*T1^12*T2^13 - 408*T1^13*T2^13 - 
      773*T1^14*T2^13 + 574*T1^15*T2^13 - 126*T1^16*T2^13 + 22*T1^6*T2^14 - 
      56*T1^7*T2^14 - 135*T1^8*T2^14 + 767*T1^9*T2^14 - 1536*T1^10*T2^14 + 
      1293*T1^11*T2^14 - 260*T1^12*T2^14 - 773*T1^13*T2^14 + 
      789*T1^14*T2^14 - 364*T1^15*T2^14 + 66*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 161*T1^9*T2^15 + 126*T1^10*T2^15 + 168*T1^11*T2^15 - 
      483*T1^12*T2^15 + 574*T1^13*T2^15 - 364*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 66*T1^10*T2^16 - 
      126*T1^11*T2^16 + 153*T1^12*T2^16 - 126*T1^13*T2^16 + 66*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 281] -> 
  {((1 - T + T^2)*(1 - 6*T + 17*T^2 - 23*T^3 + 17*T^4 - 6*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 144*T1^2 + 276*T1^3 - 342*T1^4 + 276*T1^5 - 144*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 763*T1^2*T2 - 1092*T1^3*T2 + 
     784*T1^4*T2 + 63*T1^5*T2 - 602*T1^6*T2 + 546*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 144*T2^2 + 763*T1*T2^2 - 1836*T1^2*T2^2 + 1409*T1^3*T2^2 + 
     780*T1^4*T2^2 - 2954*T1^5*T2^2 + 2364*T1^6*T2^2 - 463*T1^7*T2^2 - 
     732*T1^8*T2^2 + 427*T1^9*T2^2 - 96*T1^10*T2^2 + 276*T2^3 - 
     1092*T1*T2^3 + 1409*T1^2*T2^3 + 2918*T1^3*T2^3 - 7799*T1^4*T2^3 + 
     7605*T1^5*T2^3 - 39*T1^6*T2^3 - 4871*T1^7*T2^3 + 4196*T1^8*T2^3 - 
     559*T1^9*T2^3 - 294*T1^10*T2^3 + 138*T1^11*T2^3 - 342*T2^4 + 
     784*T1*T2^4 + 780*T1^2*T2^4 - 7799*T1^3*T2^4 + 6133*T1^4*T2^4 + 
     7334*T1^5*T2^4 - 23477*T1^6*T2^4 + 19694*T1^7*T2^4 - 6215*T1^8*T2^4 - 
     3475*T1^9*T2^4 + 1744*T1^10*T2^4 - 168*T1^11*T2^4 - 114*T1^12*T2^4 + 
     276*T2^5 + 63*T1*T2^5 - 2954*T1^2*T2^5 + 7605*T1^3*T2^5 + 
     7334*T1^4*T2^5 - 28199*T1^5*T2^5 + 32946*T1^6*T2^5 - 4106*T1^7*T2^5 - 
     16717*T1^8*T2^5 + 16259*T1^9*T2^5 - 1711*T1^10*T2^5 - 1199*T1^11*T2^5 + 
     476*T1^12*T2^5 + 46*T1^13*T2^5 - 144*T2^6 - 602*T1*T2^6 + 
     2364*T1^2*T2^6 - 39*T1^3*T2^6 - 23477*T1^4*T2^6 + 32946*T1^5*T2^6 - 
     11627*T1^6*T2^6 - 30633*T1^7*T2^6 + 31741*T1^8*T2^6 - 8254*T1^9*T2^6 - 
     11589*T1^10*T2^6 + 5097*T1^11*T2^6 - 460*T1^12*T2^6 - 322*T1^13*T2^6 + 
     42*T2^7 + 546*T1*T2^7 - 463*T1^2*T2^7 - 4871*T1^3*T2^7 + 
     19694*T1^4*T2^7 - 4106*T1^5*T2^7 - 30633*T1^6*T2^7 + 50441*T1^7*T2^7 - 
     13433*T1^8*T2^7 - 20757*T1^9*T2^7 + 24650*T1^10*T2^7 - 2971*T1^11*T2^7 - 
     2215*T1^12*T2^7 + 929*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 
     6*T2^8 - 203*T1*T2^8 - 732*T1^2*T2^8 + 4196*T1^3*T2^8 - 6215*T1^4*T2^8 - 
     16717*T1^5*T2^8 + 31741*T1^6*T2^8 - 13433*T1^7*T2^8 - 34656*T1^8*T2^8 + 
     43073*T1^9*T2^8 - 17615*T1^10*T2^8 - 8975*T1^11*T2^8 + 6389*T1^12*T2^8 - 
     1012*T1^13*T2^8 - 294*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 
     35*T1*T2^9 + 427*T1^2*T2^9 - 559*T1^3*T2^9 - 3475*T1^4*T2^9 + 
     16259*T1^5*T2^9 - 8254*T1^6*T2^9 - 20757*T1^7*T2^9 + 43073*T1^8*T2^9 - 
     20801*T1^9*T2^9 - 10881*T1^10*T2^9 + 20502*T1^11*T2^9 - 
     6406*T1^12*T2^9 - 819*T1^13*T2^9 + 833*T1^14*T2^9 - 70*T1^15*T2^9 - 
     14*T1^16*T2^9 - 96*T1^2*T2^10 - 294*T1^3*T2^10 + 1744*T1^4*T2^10 - 
     1711*T1^5*T2^10 - 11589*T1^6*T2^10 + 24650*T1^7*T2^10 - 
     17615*T1^8*T2^10 - 10881*T1^9*T2^10 + 25753*T1^10*T2^10 - 
     16550*T1^11*T2^10 + 299*T1^12*T2^10 + 3425*T1^13*T2^10 - 
     1080*T1^14*T2^10 - 14*T1^15*T2^10 + 48*T1^16*T2^10 + 138*T1^3*T2^11 - 
     168*T1^4*T2^11 - 1199*T1^5*T2^11 + 5097*T1^6*T2^11 - 2971*T1^7*T2^11 - 
     8975*T1^8*T2^11 + 20502*T1^9*T2^11 - 16550*T1^10*T2^11 + 
     2507*T1^11*T2^11 + 5954*T1^12*T2^11 - 4219*T1^13*T2^11 + 
     556*T1^14*T2^11 + 245*T1^15*T2^11 - 92*T1^16*T2^11 - 114*T1^4*T2^12 + 
     476*T1^5*T2^12 - 460*T1^6*T2^12 - 2215*T1^7*T2^12 + 6389*T1^8*T2^12 - 
     6406*T1^9*T2^12 + 299*T1^10*T2^12 + 5954*T1^11*T2^12 - 
     5959*T1^12*T2^12 + 2109*T1^13*T2^12 + 504*T1^14*T2^12 - 
     476*T1^15*T2^12 + 114*T1^16*T2^12 + 46*T1^5*T2^13 - 322*T1^6*T2^13 + 
     929*T1^7*T2^13 - 1012*T1^8*T2^13 - 819*T1^9*T2^13 + 3425*T1^10*T2^13 - 
     4219*T1^11*T2^13 + 2109*T1^12*T2^13 + 266*T1^13*T2^13 - 
     1039*T1^14*T2^13 + 476*T1^15*T2^13 - 92*T1^16*T2^13 + 49*T1^7*T2^14 - 
     294*T1^8*T2^14 + 833*T1^9*T2^14 - 1080*T1^10*T2^14 + 556*T1^11*T2^14 + 
     504*T1^12*T2^14 - 1039*T1^13*T2^14 + 810*T1^14*T2^14 - 287*T1^15*T2^14 + 
     48*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 70*T1^9*T2^15 - 
     14*T1^10*T2^15 + 245*T1^11*T2^15 - 476*T1^12*T2^15 + 476*T1^13*T2^15 - 
     287*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 48*T1^10*T2^16 - 92*T1^11*T2^16 + 114*T1^12*T2^16 - 
     92*T1^13*T2^16 + 48*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 282] -> 
  {(1 - 8*T + 26*T^2 - 50*T^3 + 63*T^4 - 50*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 200*T1^3 - 252*T1^4 + 200*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 976*T1^3*T2 + 
     816*T1^4*T2 - 88*T1^5*T2 - 368*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1214*T1^2*T2^2 + 595*T1^3*T2^2 + 
     1761*T1^4*T2^2 - 4382*T1^5*T2^2 + 3685*T1^6*T2^2 - 1589*T1^7*T2^2 + 
     86*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 200*T2^3 - 976*T1*T2^3 + 
     595*T1^2*T2^3 + 3060*T1^3*T2^3 - 8367*T1^4*T2^3 + 9919*T1^5*T2^3 - 
     2185*T1^6*T2^3 - 3209*T1^7*T2^3 + 3638*T1^8*T2^3 - 1433*T1^9*T2^3 + 
     16*T1^10*T2^3 + 50*T1^11*T2^3 - 252*T2^4 + 816*T1*T2^4 + 
     1761*T1^2*T2^4 - 8367*T1^3*T2^4 + 12258*T1^4*T2^4 - 5425*T1^5*T2^4 - 
     12484*T1^6*T2^4 + 13591*T1^7*T2^4 - 5718*T1^8*T2^4 - 967*T1^9*T2^4 + 
     1913*T1^10*T2^4 - 400*T1^11*T2^4 + 200*T2^5 - 88*T1*T2^5 - 
     4382*T1^2*T2^5 + 9919*T1^3*T2^5 - 5425*T1^4*T2^5 - 12032*T1^5*T2^5 + 
     29521*T1^6*T2^5 - 10967*T1^7*T2^5 - 7834*T1^8*T2^5 + 11737*T1^9*T2^5 - 
     5193*T1^10*T2^5 - 86*T1^11*T2^5 + 400*T1^12*T2^5 - 50*T1^13*T2^5 - 
     104*T2^6 - 368*T1*T2^6 + 3685*T1^2*T2^6 - 2185*T1^3*T2^6 - 
     12484*T1^4*T2^6 + 29521*T1^5*T2^6 - 26367*T1^6*T2^6 - 16347*T1^7*T2^6 + 
     31545*T1^8*T2^6 - 16671*T1^9*T2^6 - 756*T1^10*T2^6 + 5407*T1^11*T2^6 - 
     1783*T1^12*T2^6 - 16*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1589*T1^2*T2^7 - 3209*T1^3*T2^7 + 13591*T1^4*T2^7 - 
     10967*T1^5*T2^7 - 16347*T1^6*T2^7 + 55446*T1^7*T2^7 - 38960*T1^8*T2^7 - 
     2263*T1^9*T2^7 + 18113*T1^10*T2^7 - 10987*T1^11*T2^7 + 601*T1^12*T2^7 + 
     1375*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 86*T1^2*T2^8 + 3638*T1^3*T2^8 - 5718*T1^4*T2^8 - 
     7834*T1^5*T2^8 + 31545*T1^6*T2^8 - 38960*T1^7*T2^8 - 3432*T1^8*T2^8 + 
     42008*T1^9*T2^8 - 29799*T1^10*T2^8 + 5758*T1^11*T2^8 + 5890*T1^12*T2^8 - 
     3410*T1^13*T2^8 - 74*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1433*T1^3*T2^9 - 967*T1^4*T2^9 + 
     11737*T1^5*T2^9 - 16671*T1^6*T2^9 - 2263*T1^7*T2^9 + 42008*T1^8*T2^9 - 
     52398*T1^9*T2^9 + 11821*T1^10*T2^9 + 12409*T1^11*T2^9 - 
     12841*T1^12*T2^9 + 2843*T1^13*T2^9 + 1531*T1^14*T2^9 - 368*T1^15*T2^9 - 
     32*T1^16*T2^9 - 52*T1^2*T2^10 + 16*T1^3*T2^10 + 1913*T1^4*T2^10 - 
     5193*T1^5*T2^10 - 756*T1^6*T2^10 + 18113*T1^7*T2^10 - 29799*T1^8*T2^10 + 
     11821*T1^9*T2^10 + 28113*T1^10*T2^10 - 28079*T1^11*T2^10 + 
     10972*T1^12*T2^10 + 2399*T1^13*T2^10 - 3555*T1^14*T2^10 + 
     368*T1^15*T2^10 + 104*T1^16*T2^10 + 50*T1^3*T2^11 - 400*T1^4*T2^11 - 
     86*T1^5*T2^11 + 5407*T1^6*T2^11 - 10987*T1^7*T2^11 + 5758*T1^8*T2^11 + 
     12409*T1^9*T2^11 - 28079*T1^10*T2^11 + 9956*T1^11*T2^11 + 
     6175*T1^12*T2^11 - 9705*T1^13*T2^11 + 4210*T1^14*T2^11 + 
     88*T1^15*T2^11 - 200*T1^16*T2^11 + 400*T1^5*T2^12 - 1783*T1^6*T2^12 + 
     601*T1^7*T2^12 + 5890*T1^8*T2^12 - 12841*T1^9*T2^12 + 
     10972*T1^10*T2^12 + 6175*T1^11*T2^12 - 12086*T1^12*T2^12 + 
     8001*T1^13*T2^12 - 1631*T1^14*T2^12 - 816*T1^15*T2^12 + 
     252*T1^16*T2^12 - 50*T1^5*T2^13 - 16*T1^6*T2^13 + 1375*T1^7*T2^13 - 
     3410*T1^8*T2^13 + 2843*T1^9*T2^13 + 2399*T1^10*T2^13 - 
     9705*T1^11*T2^13 + 8001*T1^12*T2^13 - 2832*T1^13*T2^13 - 
     653*T1^14*T2^13 + 976*T1^15*T2^13 - 200*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 74*T1^8*T2^14 + 1531*T1^9*T2^14 - 3555*T1^10*T2^14 + 
     4210*T1^11*T2^14 - 1631*T1^12*T2^14 - 653*T1^13*T2^14 + 
     1226*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 368*T1^10*T2^15 + 88*T1^11*T2^15 - 
     816*T1^12*T2^15 + 976*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     200*T1^11*T2^16 + 252*T1^12*T2^16 - 200*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 283] -> 
  {-((1 - 8*T + 26*T^2 - 48*T^3 + 57*T^4 - 48*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 144*T1^3 - 171*T1^4 + 144*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      736*T1^3*T2 + 600*T1^4*T2 - 240*T1^5*T2 - 144*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1026*T1^2*T2^2 + 
      609*T1^3*T2^2 + 1047*T1^4*T2^2 - 2328*T1^5*T2^2 + 2659*T1^6*T2^2 - 
      1471*T1^7*T2^2 + 274*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      144*T2^3 - 736*T1*T2^3 + 609*T1^2*T2^3 + 2272*T1^3*T2^3 - 
      6364*T1^4*T2^3 + 6787*T1^5*T2^3 - 4397*T1^6*T2^3 - 332*T1^7*T2^3 + 
      2256*T1^8*T2^3 - 1263*T1^9*T2^3 + 208*T1^10*T2^3 - 171*T2^4 + 
      600*T1*T2^4 + 1047*T1^2*T2^4 - 6364*T1^3*T2^4 + 9580*T1^4*T2^4 - 
      3675*T1^5*T2^4 - 4154*T1^6*T2^4 + 11013*T1^7*T2^4 - 8372*T1^8*T2^4 + 
      1892*T1^9*T2^4 + 831*T1^10*T2^4 - 456*T1^11*T2^4 + 57*T1^12*T2^4 + 
      144*T2^5 - 240*T1*T2^5 - 2328*T1^2*T2^5 + 6787*T1^3*T2^5 - 
      3675*T1^4*T2^5 - 10718*T1^5*T2^5 + 19144*T1^6*T2^5 - 18824*T1^7*T2^5 + 
      4474*T1^8*T2^5 + 7245*T1^9*T2^5 - 6029*T1^10*T2^5 + 1128*T1^11*T2^5 + 
      312*T1^12*T2^5 - 96*T1^13*T2^5 - 78*T2^6 - 144*T1*T2^6 + 
      2659*T1^2*T2^6 - 4397*T1^3*T2^6 - 4154*T1^4*T2^6 + 19144*T1^5*T2^6 - 
      17318*T1^6*T2^6 + 3208*T1^7*T2^6 + 17026*T1^8*T2^6 - 20888*T1^9*T2^6 + 
      5110*T1^10*T2^6 + 4339*T1^11*T2^6 - 2609*T1^12*T2^6 + 144*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1471*T1^2*T2^7 - 
      332*T1^3*T2^7 + 11013*T1^4*T2^7 - 18824*T1^5*T2^7 + 3208*T1^6*T2^7 + 
      18186*T1^7*T2^7 - 26894*T1^8*T2^7 + 11816*T1^9*T2^7 + 
      15016*T1^10*T2^7 - 14979*T1^11*T2^7 + 2532*T1^12*T2^7 + 
      1649*T1^13*T2^7 - 368*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 274*T1^2*T2^8 + 2256*T1^3*T2^8 - 8372*T1^4*T2^8 + 
      4474*T1^5*T2^8 + 17026*T1^6*T2^8 - 26894*T1^7*T2^8 + 9144*T1^8*T2^8 + 
      17330*T1^9*T2^8 - 34094*T1^10*T2^8 + 11386*T1^11*T2^8 + 
      7092*T1^12*T2^8 - 5168*T1^13*T2^8 + 114*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 1263*T1^3*T2^9 + 
      1892*T1^4*T2^9 + 7245*T1^5*T2^9 - 20888*T1^6*T2^9 + 11816*T1^7*T2^9 + 
      17330*T1^8*T2^9 - 27750*T1^9*T2^9 + 20424*T1^10*T2^9 + 
      12952*T1^11*T2^9 - 18747*T1^12*T2^9 + 4756*T1^13*T2^9 + 
      1857*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      208*T1^3*T2^10 + 831*T1^4*T2^10 - 6029*T1^5*T2^10 + 5110*T1^6*T2^10 + 
      15016*T1^7*T2^10 - 34094*T1^8*T2^10 + 20424*T1^9*T2^10 + 
      250*T1^10*T2^10 - 25016*T1^11*T2^10 + 14374*T1^12*T2^10 + 
      2707*T1^13*T2^10 - 4437*T1^14*T2^10 + 496*T1^15*T2^10 + 
      130*T1^16*T2^10 - 456*T1^4*T2^11 + 1128*T1^5*T2^11 + 4339*T1^6*T2^11 - 
      14979*T1^7*T2^11 + 11386*T1^8*T2^11 + 12952*T1^9*T2^11 - 
      25016*T1^10*T2^11 + 26578*T1^11*T2^11 - 4059*T1^12*T2^11 - 
      8477*T1^13*T2^11 + 4584*T1^14*T2^11 + 96*T1^15*T2^11 - 
      240*T1^16*T2^11 + 57*T1^4*T2^12 + 312*T1^5*T2^12 - 2609*T1^6*T2^12 + 
      2532*T1^7*T2^12 + 7092*T1^8*T2^12 - 18747*T1^9*T2^12 + 
      14374*T1^10*T2^12 - 4059*T1^11*T2^12 - 10860*T1^12*T2^12 + 
      10788*T1^13*T2^12 - 2825*T1^14*T2^12 - 744*T1^15*T2^12 + 
      285*T1^16*T2^12 - 96*T1^5*T2^13 + 144*T1^6*T2^13 + 1649*T1^7*T2^13 - 
      5168*T1^8*T2^13 + 4756*T1^9*T2^13 + 2707*T1^10*T2^13 - 
      8477*T1^11*T2^13 + 10788*T1^12*T2^13 - 5184*T1^13*T2^13 - 
      223*T1^14*T2^13 + 1088*T1^15*T2^13 - 240*T1^16*T2^13 + 78*T1^6*T2^14 - 
      368*T1^7*T2^14 + 114*T1^8*T2^14 + 1857*T1^9*T2^14 - 4437*T1^10*T2^14 + 
      4584*T1^11*T2^14 - 2825*T1^12*T2^14 - 223*T1^13*T2^14 + 
      1414*T1^14*T2^14 - 784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 512*T1^9*T2^15 + 496*T1^10*T2^15 + 96*T1^11*T2^15 - 
      744*T1^12*T2^15 + 1088*T1^13*T2^15 - 784*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 240*T1^11*T2^16 + 285*T1^12*T2^16 - 240*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 284] -> 
  {-((1 - 8*T + 25*T^2 - 43*T^3 + 49*T^4 - 43*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 215*T1^3 - 245*T1^4 + 215*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 744*T1^2*T2 - 
      920*T1^3*T2 + 584*T1^4*T2 - 152*T1^5*T2 - 376*T1^6*T2 + 480*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 744*T1*T2^2 - 1151*T1^2*T2^2 - 
      431*T1^3*T2^2 + 3022*T1^4*T2^2 - 3963*T1^5*T2^2 + 4222*T1^6*T2^2 - 
      2181*T1^7*T2^2 + 49*T1^8*T2^2 + 344*T1^9*T2^2 - 75*T1^10*T2^2 + 
      215*T2^3 - 920*T1*T2^3 - 431*T1^2*T2^3 + 6081*T1^3*T2^3 - 
      9636*T1^4*T2^3 + 6364*T1^5*T2^3 - 3264*T1^6*T2^3 - 3389*T1^7*T2^3 + 
      5157*T1^8*T2^3 - 1856*T1^9*T2^3 - 88*T1^10*T2^3 + 86*T1^11*T2^3 - 
      245*T2^4 + 584*T1*T2^4 + 3022*T1^2*T2^4 - 9636*T1^3*T2^4 + 
      5766*T1^4*T2^4 + 7362*T1^5*T2^4 - 11402*T1^6*T2^4 + 17014*T1^7*T2^4 - 
      8906*T1^8*T2^4 - 1552*T1^9*T2^4 + 2418*T1^10*T2^4 - 296*T1^11*T2^4 - 
      49*T1^12*T2^4 + 215*T2^5 - 152*T1*T2^5 - 3963*T1^2*T2^5 + 
      6364*T1^3*T2^5 + 7362*T1^4*T2^5 - 22024*T1^5*T2^5 + 14717*T1^6*T2^5 - 
      11310*T1^7*T2^5 - 6496*T1^8*T2^5 + 13096*T1^9*T2^5 - 4116*T1^10*T2^5 - 
      1005*T1^11*T2^5 + 392*T1^12*T2^5 - 125*T2^6 - 376*T1*T2^6 + 
      4222*T1^2*T2^6 - 3264*T1^3*T2^6 - 11402*T1^4*T2^6 + 14717*T1^5*T2^6 + 
      6239*T1^6*T2^6 - 10495*T1^7*T2^6 + 20479*T1^8*T2^6 - 11435*T1^9*T2^6 - 
      4420*T1^10*T2^6 + 5086*T1^11*T2^6 - 586*T1^12*T2^6 - 200*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 480*T1*T2^7 - 2181*T1^2*T2^7 - 
      3389*T1^3*T2^7 + 17014*T1^4*T2^7 - 11310*T1^5*T2^7 - 10495*T1^6*T2^7 + 
      4506*T1^7*T2^7 - 2534*T1^8*T2^7 - 8444*T1^9*T2^7 + 14467*T1^10*T2^7 - 
      4392*T1^11*T2^7 - 2288*T1^12*T2^7 + 1194*T1^13*T2^7 - 72*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 49*T1^2*T2^8 + 5157*T1^3*T2^8 - 
      8906*T1^4*T2^8 - 6496*T1^5*T2^8 + 20479*T1^6*T2^8 - 2534*T1^7*T2^8 - 
      4944*T1^8*T2^8 + 7870*T1^9*T2^8 - 5263*T1^10*T2^8 - 6772*T1^11*T2^8 + 
      7890*T1^12*T2^8 - 1889*T1^13*T2^8 - 323*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 344*T1^2*T2^9 - 1856*T1^3*T2^9 - 
      1552*T1^4*T2^9 + 13096*T1^5*T2^9 - 11435*T1^6*T2^9 - 8444*T1^7*T2^9 + 
      7870*T1^8*T2^9 + 830*T1^9*T2^9 - 6393*T1^10*T2^9 + 14342*T1^11*T2^9 - 
      8310*T1^12*T2^9 - 451*T1^13*T2^9 + 1519*T1^14*T2^9 - 208*T1^15*T2^9 - 
      24*T1^16*T2^9 - 75*T1^2*T2^10 - 88*T1^3*T2^10 + 2418*T1^4*T2^10 - 
      4116*T1^5*T2^10 - 4420*T1^6*T2^10 + 14467*T1^7*T2^10 - 
      5263*T1^8*T2^10 - 6393*T1^9*T2^10 + 8977*T1^10*T2^10 - 
      11685*T1^11*T2^10 + 2562*T1^12*T2^10 + 4234*T1^13*T2^10 - 
      2390*T1^14*T2^10 + 88*T1^15*T2^10 + 75*T1^16*T2^10 + 86*T1^3*T2^11 - 
      296*T1^4*T2^11 - 1005*T1^5*T2^11 + 5086*T1^6*T2^11 - 4392*T1^7*T2^11 - 
      6772*T1^8*T2^11 + 14342*T1^9*T2^11 - 11685*T1^10*T2^11 + 
      8756*T1^11*T2^11 + 1342*T1^12*T2^11 - 5394*T1^13*T2^11 + 
      1953*T1^14*T2^11 + 248*T1^15*T2^11 - 129*T1^16*T2^11 - 49*T1^4*T2^12 + 
      392*T1^5*T2^12 - 586*T1^6*T2^12 - 2288*T1^7*T2^12 + 7890*T1^8*T2^12 - 
      8310*T1^9*T2^12 + 2562*T1^10*T2^12 + 1342*T1^11*T2^12 - 
      6782*T1^12*T2^12 + 5796*T1^13*T2^12 - 1190*T1^14*T2^12 - 
      488*T1^15*T2^12 + 147*T1^16*T2^12 - 200*T1^6*T2^13 + 1194*T1^7*T2^13 - 
      1889*T1^8*T2^13 - 451*T1^9*T2^13 + 4234*T1^10*T2^13 - 
      5394*T1^11*T2^13 + 5796*T1^12*T2^13 - 2813*T1^13*T2^13 - 
      231*T1^14*T2^13 + 632*T1^15*T2^13 - 129*T1^16*T2^13 + 25*T1^6*T2^14 - 
      72*T1^7*T2^14 - 323*T1^8*T2^14 + 1519*T1^9*T2^14 - 2390*T1^10*T2^14 + 
      1953*T1^11*T2^14 - 1190*T1^12*T2^14 - 231*T1^13*T2^14 + 
      877*T1^14*T2^14 - 472*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 208*T1^9*T2^15 + 88*T1^10*T2^15 + 248*T1^11*T2^15 - 
      488*T1^12*T2^15 + 632*T1^13*T2^15 - 472*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      129*T1^11*T2^16 + 147*T1^12*T2^16 - 129*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 285] -> 
  {-((1 - 8*T + 27*T^2 - 49*T^3 + 57*T^4 - 49*T^5 + 27*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 81*T1^2 + 147*T1^3 - 171*T1^4 + 147*T1^5 - 
      81*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 
      744*T1^3*T2 + 584*T1^4*T2 - 264*T1^5*T2 - 136*T1^6*T2 + 240*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1191*T1^2*T2^2 + 
      734*T1^3*T2^2 + 909*T1^4*T2^2 - 1975*T1^5*T2^2 + 2529*T1^6*T2^2 - 
      1480*T1^7*T2^2 + 213*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 
      147*T2^3 - 744*T1*T2^3 + 734*T1^2*T2^3 + 2719*T1^3*T2^3 - 
      6905*T1^4*T2^3 + 6773*T1^5*T2^3 - 4951*T1^6*T2^3 - 44*T1^7*T2^3 + 
      2509*T1^8*T2^3 - 1291*T1^9*T2^3 + 216*T1^10*T2^3 - 171*T2^4 + 
      584*T1*T2^4 + 909*T1^2*T2^4 - 6905*T1^3*T2^4 + 8845*T1^4*T2^4 - 
      891*T1^5*T2^4 - 5935*T1^6*T2^4 + 13281*T1^7*T2^4 - 10531*T1^8*T2^4 + 
      2307*T1^9*T2^4 + 793*T1^10*T2^4 - 456*T1^11*T2^4 + 57*T1^12*T2^4 + 
      147*T2^5 - 264*T1*T2^5 - 1975*T1^2*T2^5 + 6773*T1^3*T2^5 - 
      891*T1^4*T2^5 - 15992*T1^5*T2^5 + 22070*T1^6*T2^5 - 22775*T1^7*T2^5 + 
      7886*T1^8*T2^5 + 7239*T1^9*T2^5 - 6251*T1^10*T2^5 + 1031*T1^11*T2^5 + 
      328*T1^12*T2^5 - 98*T1^13*T2^5 - 81*T2^6 - 136*T1*T2^6 + 
      2529*T1^2*T2^6 - 4951*T1^3*T2^6 - 5935*T1^4*T2^6 + 22070*T1^5*T2^6 - 
      16798*T1^6*T2^6 + 5372*T1^7*T2^6 + 15466*T1^8*T2^6 - 24258*T1^9*T2^6 + 
      6495*T1^10*T2^6 + 4823*T1^11*T2^6 - 2563*T1^12*T2^6 + 136*T1^13*T2^6 + 
      81*T1^14*T2^6 + 24*T2^7 + 240*T1*T2^7 - 1480*T1^2*T2^7 - 44*T1^3*T2^7 + 
      13281*T1^4*T2^7 - 22775*T1^5*T2^7 + 5372*T1^6*T2^7 + 10862*T1^7*T2^7 - 
      20848*T1^8*T2^7 + 12143*T1^9*T2^7 + 19104*T1^10*T2^7 - 
      19017*T1^11*T2^7 + 2499*T1^12*T2^7 + 1679*T1^13*T2^7 - 392*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 213*T1^2*T2^8 + 2509*T1^3*T2^8 - 
      10531*T1^4*T2^8 + 7886*T1^5*T2^8 + 15466*T1^6*T2^8 - 20848*T1^7*T2^8 + 
      6084*T1^8*T2^8 + 13576*T1^9*T2^8 - 36720*T1^10*T2^8 + 
      11350*T1^11*T2^8 + 11425*T1^12*T2^8 - 6041*T1^13*T2^8 + 
      273*T1^14*T2^8 + 216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 
      88*T1^2*T2^9 - 1291*T1^3*T2^9 + 2307*T1^4*T2^9 + 7239*T1^5*T2^9 - 
      24258*T1^6*T2^9 + 12143*T1^7*T2^9 + 13576*T1^8*T2^9 - 18134*T1^9*T2^9 + 
      18914*T1^10*T2^9 + 17621*T1^11*T2^9 - 25059*T1^12*T2^9 + 
      4850*T1^13*T2^9 + 1868*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 
      27*T1^2*T2^10 + 216*T1^3*T2^10 + 793*T1^4*T2^10 - 6251*T1^5*T2^10 + 
      6495*T1^6*T2^10 + 19104*T1^7*T2^10 - 36720*T1^8*T2^10 + 
      18914*T1^9*T2^10 - 4456*T1^10*T2^10 - 27224*T1^11*T2^10 + 
      18925*T1^12*T2^10 + 3523*T1^13*T2^10 - 4299*T1^14*T2^10 + 
      488*T1^15*T2^10 + 135*T1^16*T2^10 - 456*T1^4*T2^11 + 1031*T1^5*T2^11 + 
      4823*T1^6*T2^11 - 19017*T1^7*T2^11 + 11350*T1^8*T2^11 + 
      17621*T1^9*T2^11 - 27224*T1^10*T2^11 + 35228*T1^11*T2^11 - 
      10887*T1^12*T2^11 - 8201*T1^13*T2^11 + 4037*T1^14*T2^11 + 
      136*T1^15*T2^11 - 245*T1^16*T2^11 + 57*T1^4*T2^12 + 328*T1^5*T2^12 - 
      2563*T1^6*T2^12 + 2499*T1^7*T2^12 + 11425*T1^8*T2^12 - 
      25059*T1^9*T2^12 + 18925*T1^10*T2^12 - 10887*T1^11*T2^12 - 
      7951*T1^12*T2^12 + 11711*T1^13*T2^12 - 2679*T1^14*T2^12 - 
      712*T1^15*T2^12 + 285*T1^16*T2^12 - 98*T1^5*T2^13 + 136*T1^6*T2^13 + 
      1679*T1^7*T2^13 - 6041*T1^8*T2^13 + 4850*T1^9*T2^13 + 
      3523*T1^10*T2^13 - 8201*T1^11*T2^13 + 11711*T1^12*T2^13 - 
      6251*T1^13*T2^13 - 346*T1^14*T2^13 + 1096*T1^15*T2^13 - 
      245*T1^16*T2^13 + 81*T1^6*T2^14 - 392*T1^7*T2^14 + 273*T1^8*T2^14 + 
      1868*T1^9*T2^14 - 4299*T1^10*T2^14 + 4037*T1^11*T2^14 - 
      2679*T1^12*T2^14 - 346*T1^13*T2^14 + 1677*T1^14*T2^14 - 
      824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      544*T1^9*T2^15 + 488*T1^10*T2^15 + 136*T1^11*T2^15 - 712*T1^12*T2^15 + 
      1096*T1^13*T2^15 - 824*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 135*T1^10*T2^16 - 245*T1^11*T2^16 + 
      285*T1^12*T2^16 - 245*T1^13*T2^16 + 135*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 286] -> 
  {-((3 - 20*T + 55*T^2 - 77*T^3 + 55*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((-84 + 562*T1 - 1550*T1^2 + 2174*T1^3 - 1550*T1^4 + 562*T1^5 - 84*T1^6 + 
      562*T2 - 3378*T1*T2 + 7809*T1^2*T2 - 7473*T1^3*T2 + 447*T1^4*T2 + 
      3309*T1^5*T2 - 1998*T1^6*T2 + 382*T1^7*T2 - 1550*T2^2 + 7809*T1*T2^2 - 
      12005*T1^2*T2^2 - 3468*T1^3*T2^2 + 27397*T1^4*T2^2 - 22278*T1^5*T2^2 + 
      5155*T1^6*T2^2 + 1209*T1^7*T2^2 - 560*T1^8*T2^2 + 2174*T2^3 - 
      7473*T1*T2^3 - 3468*T1^2*T2^3 + 49187*T1^3*T2^3 - 73805*T1^4*T2^3 + 
      19420*T1^5*T2^3 + 22127*T1^6*T2^3 - 16283*T1^7*T2^3 + 3087*T1^8*T2^3 + 
      95*T1^9*T2^3 - 1550*T2^4 + 447*T1*T2^4 + 27397*T1^2*T2^4 - 
      73805*T1^3*T2^4 + 39709*T1^4*T2^4 + 83609*T1^5*T2^4 - 
      101531*T1^6*T2^4 + 35535*T1^7*T2^4 + 2097*T1^8*T2^4 - 3513*T1^9*T2^4 + 
      430*T1^10*T2^4 + 562*T2^5 + 3309*T1*T2^5 - 22278*T1^2*T2^5 + 
      19420*T1^3*T2^5 + 83609*T1^4*T2^5 - 199037*T1^5*T2^5 + 
      119383*T1^6*T2^5 + 13484*T1^7*T2^5 - 41575*T1^8*T2^5 + 
      14517*T1^9*T2^5 - 591*T1^10*T2^5 - 338*T1^11*T2^5 - 84*T2^6 - 
      1998*T1*T2^6 + 5155*T1^2*T2^6 + 22127*T1^3*T2^6 - 101531*T1^4*T2^6 + 
      119383*T1^5*T2^6 + 31380*T1^6*T2^6 - 143347*T1^7*T2^6 + 
      92839*T1^8*T2^6 - 15031*T1^9*T2^6 - 5725*T1^10*T2^6 + 1722*T1^11*T2^6 + 
      78*T1^12*T2^6 + 382*T1*T2^7 + 1209*T1^2*T2^7 - 16283*T1^3*T2^7 + 
      35535*T1^4*T2^7 + 13484*T1^5*T2^7 - 143347*T1^6*T2^7 + 
      175073*T1^7*T2^7 - 56641*T1^8*T2^7 - 25460*T1^9*T2^7 + 
      20512*T1^10*T2^7 - 2691*T1^11*T2^7 - 518*T1^12*T2^7 - 560*T1^2*T2^8 + 
      3087*T1^3*T2^8 + 2097*T1^4*T2^8 - 41575*T1^5*T2^8 + 92839*T1^6*T2^8 - 
      56641*T1^7*T2^8 - 48401*T1^8*T2^8 + 67765*T1^9*T2^8 - 
      23203*T1^10*T2^8 - 873*T1^11*T2^8 + 1420*T1^12*T2^8 + 95*T1^3*T2^9 - 
      3513*T1^4*T2^9 + 14517*T1^5*T2^9 - 15031*T1^6*T2^9 - 25460*T1^7*T2^9 + 
      67765*T1^8*T2^9 - 42091*T1^9*T2^9 + 1702*T1^10*T2^9 + 7047*T1^11*T2^9 - 
      1984*T1^12*T2^9 + 430*T1^4*T2^10 - 591*T1^5*T2^10 - 5725*T1^6*T2^10 + 
      20512*T1^7*T2^10 - 23203*T1^8*T2^10 + 1702*T1^9*T2^10 + 
      11435*T1^10*T2^10 - 7191*T1^11*T2^10 + 1420*T1^12*T2^10 - 
      338*T1^5*T2^11 + 1722*T1^6*T2^11 - 2691*T1^7*T2^11 - 873*T1^8*T2^11 + 
      7047*T1^9*T2^11 - 7191*T1^10*T2^11 + 3102*T1^11*T2^11 - 
      518*T1^12*T2^11 + 78*T1^6*T2^12 - 518*T1^7*T2^12 + 1420*T1^8*T2^12 - 
      1984*T1^9*T2^12 + 1420*T1^10*T2^12 - 518*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 287] -> 
  {-(((1 - T + T^2)*(-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^4), 
   -((-3 + 24*T1 - 81*T1^2 + 159*T1^3 - 195*T1^4 + 159*T1^5 - 81*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 840*T1^3*T2 + 
      712*T1^4*T2 - 232*T1^5*T2 - 200*T1^6*T2 + 240*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1191*T1^2*T2^2 + 1060*T1^3*T2^2 + 
      769*T1^4*T2^2 - 2567*T1^5*T2^2 + 2821*T1^6*T2^2 - 1370*T1^7*T2^2 + 
      213*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 159*T2^3 - 840*T1*T2^3 + 
      1060*T1^2*T2^3 + 1467*T1^3*T2^3 - 6628*T1^4*T2^3 + 8144*T1^5*T2^3 - 
      4624*T1^6*T2^3 - 955*T1^7*T2^3 + 2493*T1^8*T2^3 - 1289*T1^9*T2^3 + 
      216*T1^10*T2^3 - 195*T2^4 + 712*T1*T2^4 + 769*T1^2*T2^4 - 
      6628*T1^3*T2^4 + 12541*T1^4*T2^4 - 6967*T1^5*T2^4 - 5323*T1^6*T2^4 + 
      13557*T1^7*T2^4 - 8979*T1^8*T2^4 + 1640*T1^9*T2^4 + 1005*T1^10*T2^4 - 
      520*T1^11*T2^4 + 65*T1^12*T2^4 + 159*T2^5 - 232*T1*T2^5 - 
      2567*T1^2*T2^5 + 8144*T1^3*T2^5 - 6967*T1^4*T2^5 - 11448*T1^5*T2^5 + 
      28159*T1^6*T2^5 - 25174*T1^7*T2^5 + 3462*T1^8*T2^5 + 9963*T1^9*T2^5 - 
      7052*T1^10*T2^5 + 1327*T1^11*T2^5 + 328*T1^12*T2^5 - 106*T1^13*T2^5 - 
      81*T2^6 - 200*T1*T2^6 + 2821*T1^2*T2^6 - 4624*T1^3*T2^6 - 
      5323*T1^4*T2^6 + 28159*T1^5*T2^6 - 32046*T1^6*T2^6 + 3598*T1^7*T2^6 + 
      29226*T1^8*T2^6 - 29833*T1^9*T2^6 + 6579*T1^10*T2^6 + 4502*T1^11*T2^6 - 
      2863*T1^12*T2^6 + 200*T1^13*T2^6 + 81*T1^14*T2^6 + 24*T2^7 + 
      240*T1*T2^7 - 1370*T1^2*T2^7 - 955*T1^3*T2^7 + 13557*T1^4*T2^7 - 
      25174*T1^5*T2^7 + 3598*T1^6*T2^7 + 43264*T1^7*T2^7 - 57102*T1^8*T2^7 + 
      22617*T1^9*T2^7 + 18841*T1^10*T2^7 - 17749*T1^11*T2^7 + 
      3752*T1^12*T2^7 + 1465*T1^13*T2^7 - 392*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 213*T1^2*T2^8 + 2493*T1^3*T2^8 - 
      8979*T1^4*T2^8 + 3462*T1^5*T2^8 + 29226*T1^6*T2^8 - 57102*T1^7*T2^8 + 
      22344*T1^8*T2^8 + 35082*T1^9*T2^8 - 57096*T1^10*T2^8 + 
      19518*T1^11*T2^8 + 4977*T1^12*T2^8 - 5273*T1^13*T2^8 + 273*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 88*T1^2*T2^9 - 
      1289*T1^3*T2^9 + 1640*T1^4*T2^9 + 9963*T1^5*T2^9 - 29833*T1^6*T2^9 + 
      22617*T1^7*T2^9 + 35082*T1^8*T2^9 - 65284*T1^9*T2^9 + 
      41636*T1^10*T2^9 + 14182*T1^11*T2^9 - 21343*T1^12*T2^9 + 
      6347*T1^13*T2^9 + 1546*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 
      27*T1^2*T2^10 + 216*T1^3*T2^10 + 1005*T1^4*T2^10 - 7052*T1^5*T2^10 + 
      6579*T1^6*T2^10 + 18841*T1^7*T2^10 - 57096*T1^8*T2^10 + 
      41636*T1^9*T2^10 + 4176*T1^10*T2^10 - 39151*T1^11*T2^10 + 
      18481*T1^12*T2^10 + 2074*T1^13*T2^10 - 4679*T1^14*T2^10 + 
      616*T1^15*T2^10 + 135*T1^16*T2^10 - 520*T1^4*T2^11 + 1327*T1^5*T2^11 + 
      4502*T1^6*T2^11 - 17749*T1^7*T2^11 + 19518*T1^8*T2^11 + 
      14182*T1^9*T2^11 - 39151*T1^10*T2^11 + 34428*T1^11*T2^11 - 
      819*T1^12*T2^11 - 10694*T1^13*T2^11 + 5221*T1^14*T2^11 + 
      40*T1^15*T2^11 - 265*T1^16*T2^11 + 65*T1^4*T2^12 + 328*T1^5*T2^12 - 
      2863*T1^6*T2^12 + 3752*T1^7*T2^12 + 4977*T1^8*T2^12 - 
      21343*T1^9*T2^12 + 18481*T1^10*T2^12 - 819*T1^11*T2^12 - 
      16543*T1^12*T2^12 + 12020*T1^13*T2^12 - 2627*T1^14*T2^12 - 
      904*T1^15*T2^12 + 325*T1^16*T2^12 - 106*T1^5*T2^13 + 200*T1^6*T2^13 + 
      1465*T1^7*T2^13 - 5273*T1^8*T2^13 + 6347*T1^9*T2^13 + 
      2074*T1^10*T2^13 - 10694*T1^11*T2^13 + 12020*T1^12*T2^13 - 
      4247*T1^13*T2^13 - 884*T1^14*T2^13 + 1256*T1^15*T2^13 - 
      265*T1^16*T2^13 + 81*T1^6*T2^14 - 392*T1^7*T2^14 + 273*T1^8*T2^14 + 
      1546*T1^9*T2^14 - 4679*T1^10*T2^14 + 5221*T1^11*T2^14 - 
      2627*T1^12*T2^14 - 884*T1^13*T2^14 + 1677*T1^14*T2^14 - 
      824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      544*T1^9*T2^15 + 616*T1^10*T2^15 + 40*T1^11*T2^15 - 904*T1^12*T2^15 + 
      1256*T1^13*T2^15 - 824*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 135*T1^10*T2^16 - 265*T1^11*T2^16 + 
      325*T1^12*T2^16 - 265*T1^13*T2^16 + 135*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 288] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4), 
   -((-3 + 24*T1 - 84*T1^2 + 168*T1^3 - 207*T1^4 + 168*T1^5 - 84*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 896*T1^3*T2 + 
      760*T1^4*T2 - 240*T1^5*T2 - 224*T1^6*T2 + 256*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1358*T1^2*T2^2 + 1359*T1^3*T2^2 + 
      545*T1^4*T2^2 - 2502*T1^5*T2^2 + 2841*T1^6*T2^2 - 1329*T1^7*T2^2 + 
      154*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 168*T2^3 - 896*T1*T2^3 + 
      1359*T1^2*T2^3 + 1254*T1^3*T2^3 - 7040*T1^4*T2^3 + 8860*T1^5*T2^3 - 
      5028*T1^6*T2^3 - 1160*T1^7*T2^3 + 2766*T1^8*T2^3 - 1329*T1^9*T2^3 + 
      224*T1^10*T2^3 - 207*T2^4 + 760*T1*T2^4 + 545*T1^2*T2^4 - 
      7040*T1^3*T2^4 + 13907*T1^4*T2^4 - 7445*T1^5*T2^4 - 6789*T1^6*T2^4 + 
      16043*T1^7*T2^4 - 10333*T1^8*T2^4 + 1696*T1^9*T2^4 + 1105*T1^10*T2^4 - 
      552*T1^11*T2^4 + 69*T1^12*T2^4 + 168*T2^5 - 240*T1*T2^5 - 
      2502*T1^2*T2^5 + 8860*T1^3*T2^5 - 7445*T1^4*T2^5 - 15078*T1^5*T2^5 + 
      35495*T1^6*T2^5 - 31481*T1^7*T2^5 + 5082*T1^8*T2^5 + 11179*T1^9*T2^5 - 
      7716*T1^10*T2^5 + 1338*T1^11*T2^5 + 344*T1^12*T2^5 - 112*T1^13*T2^5 - 
      84*T2^6 - 224*T1*T2^6 + 2841*T1^2*T2^6 - 5028*T1^3*T2^6 - 
      6789*T1^4*T2^6 + 35495*T1^5*T2^6 - 40302*T1^6*T2^6 + 4070*T1^7*T2^6 + 
      36642*T1^8*T2^6 - 37529*T1^9*T2^6 + 8779*T1^10*T2^6 + 4828*T1^11*T2^6 - 
      2927*T1^12*T2^6 + 224*T1^13*T2^6 + 84*T1^14*T2^6 + 24*T2^7 + 
      256*T1*T2^7 - 1329*T1^2*T2^7 - 1160*T1^3*T2^7 + 16043*T1^4*T2^7 - 
      31481*T1^5*T2^7 + 4070*T1^6*T2^7 + 55596*T1^7*T2^7 - 72084*T1^8*T2^7 + 
      28710*T1^9*T2^7 + 23399*T1^10*T2^7 - 22037*T1^11*T2^7 + 
      4384*T1^12*T2^7 + 1359*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 154*T1^2*T2^8 + 2766*T1^3*T2^8 - 
      10333*T1^4*T2^8 + 5082*T1^5*T2^8 + 36642*T1^6*T2^8 - 72084*T1^7*T2^8 + 
      27144*T1^8*T2^8 + 44844*T1^9*T2^8 - 72446*T1^10*T2^8 + 
      24858*T1^11*T2^8 + 6347*T1^12*T2^8 - 5746*T1^13*T2^8 + 442*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 
      1329*T1^3*T2^9 + 1696*T1^4*T2^9 + 11179*T1^5*T2^9 - 37529*T1^6*T2^9 + 
      28710*T1^7*T2^9 + 44844*T1^8*T2^9 - 82836*T1^9*T2^9 + 
      53350*T1^10*T2^9 + 17351*T1^11*T2^9 - 26901*T1^12*T2^9 + 
      7240*T1^13*T2^9 + 1359*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 
      28*T1^2*T2^10 + 224*T1^3*T2^10 + 1105*T1^4*T2^10 - 7716*T1^5*T2^10 + 
      8779*T1^6*T2^10 + 23399*T1^7*T2^10 - 72446*T1^8*T2^10 + 
      53350*T1^9*T2^10 + 4498*T1^10*T2^10 - 49625*T1^11*T2^10 + 
      24347*T1^12*T2^10 + 2140*T1^13*T2^10 - 4663*T1^14*T2^10 + 
      672*T1^15*T2^10 + 140*T1^16*T2^10 - 552*T1^4*T2^11 + 1338*T1^5*T2^11 + 
      4828*T1^6*T2^11 - 22037*T1^7*T2^11 + 24858*T1^8*T2^11 + 
      17351*T1^9*T2^11 - 49625*T1^10*T2^11 + 45018*T1^11*T2^11 - 
      3413*T1^12*T2^11 - 11748*T1^13*T2^11 + 5178*T1^14*T2^11 + 
      32*T1^15*T2^11 - 280*T1^16*T2^11 + 69*T1^4*T2^12 + 344*T1^5*T2^12 - 
      2927*T1^6*T2^12 + 4384*T1^7*T2^12 + 6347*T1^8*T2^12 - 
      26901*T1^9*T2^12 + 24347*T1^10*T2^12 - 3413*T1^11*T2^12 - 
      17893*T1^12*T2^12 + 13120*T1^13*T2^12 - 2367*T1^14*T2^12 - 
      968*T1^15*T2^12 + 345*T1^16*T2^12 - 112*T1^5*T2^13 + 224*T1^6*T2^13 + 
      1359*T1^7*T2^13 - 5746*T1^8*T2^13 + 7240*T1^9*T2^13 + 
      2140*T1^10*T2^13 - 11748*T1^11*T2^13 + 13120*T1^12*T2^13 - 
      4234*T1^13*T2^13 - 1329*T1^14*T2^13 + 1344*T1^15*T2^13 - 
      280*T1^16*T2^13 + 84*T1^6*T2^14 - 416*T1^7*T2^14 + 442*T1^8*T2^14 + 
      1359*T1^9*T2^14 - 4663*T1^10*T2^14 + 5178*T1^11*T2^14 - 
      2367*T1^12*T2^14 - 1329*T1^13*T2^14 + 1954*T1^14*T2^14 - 
      864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      576*T1^9*T2^15 + 672*T1^10*T2^15 + 32*T1^11*T2^15 - 968*T1^12*T2^15 + 
      1344*T1^13*T2^15 - 864*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 140*T1^10*T2^16 - 280*T1^11*T2^16 + 
      345*T1^12*T2^16 - 280*T1^13*T2^16 + 140*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 289] -> 
  {-((5 - 23*T + 43*T^2 - 51*T^3 + 43*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((-645 + 2955*T1 - 5492*T1^2 + 6501*T1^3 - 5492*T1^4 + 2955*T1^5 - 
      645*T1^6 + 2955*T2 - 11171*T1*T2 + 14306*T1^2*T2 - 9588*T1^3*T2 + 
      1222*T1^4*T2 + 6716*T1^5*T2 - 7951*T1^6*T2 + 2380*T1^7*T2 - 5492*T2^2 + 
      14306*T1*T2^2 - 252*T1^2*T2^2 - 22419*T1^3*T2^2 + 35290*T1^4*T2^2 - 
      34459*T1^5*T2^2 + 16088*T1^6*T2^2 + 4416*T1^7*T2^2 - 3342*T1^8*T2^2 + 
      6501*T2^3 - 9588*T1*T2^3 - 22419*T1^2*T2^3 + 41294*T1^3*T2^3 - 
      32206*T1^4*T2^3 + 10270*T1^5*T2^3 + 18860*T1^6*T2^3 - 27622*T1^7*T2^3 + 
      3062*T1^8*T2^3 + 2676*T1^9*T2^3 - 5492*T2^4 + 1222*T1*T2^4 + 
      35290*T1^2*T2^4 - 32206*T1^3*T2^4 + 3622*T1^4*T2^4 + 17720*T1^5*T2^4 - 
      29386*T1^6*T2^4 + 13082*T1^7*T2^4 + 18312*T1^8*T2^4 - 6828*T1^9*T2^4 - 
      1192*T1^10*T2^4 + 2955*T2^5 + 6716*T1*T2^5 - 34459*T1^2*T2^5 + 
      10270*T1^3*T2^5 + 17720*T1^4*T2^5 - 18471*T1^5*T2^5 + 7949*T1^6*T2^5 + 
      14409*T1^7*T2^5 - 26582*T1^8*T2^5 - 1908*T1^9*T2^5 + 5106*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 7951*T1*T2^6 + 16088*T1^2*T2^6 + 
      18860*T1^3*T2^6 - 29386*T1^4*T2^6 + 7949*T1^5*T2^6 + 9492*T1^6*T2^6 - 
      18637*T1^7*T2^6 + 9672*T1^8*T2^6 + 17144*T1^9*T2^6 - 7640*T1^10*T2^6 - 
      821*T1^11*T2^6 + 105*T1^12*T2^6 + 2380*T1*T2^7 + 4416*T1^2*T2^7 - 
      27622*T1^3*T2^7 + 13082*T1^4*T2^7 + 14409*T1^5*T2^7 - 18637*T1^6*T2^7 + 
      7783*T1^7*T2^7 + 11098*T1^8*T2^7 - 23770*T1^9*T2^7 + 4929*T1^10*T2^7 + 
      2806*T1^11*T2^7 - 495*T1^12*T2^7 - 3342*T1^2*T2^8 + 3062*T1^3*T2^8 + 
      18312*T1^4*T2^8 - 26582*T1^5*T2^8 + 9672*T1^6*T2^8 + 11098*T1^7*T2^8 - 
      23336*T1^8*T2^8 + 18706*T1^9*T2^8 + 1334*T1^10*T2^8 - 4988*T1^11*T2^8 + 
      958*T1^12*T2^8 + 2676*T1^3*T2^9 - 6828*T1^4*T2^9 - 1908*T1^5*T2^9 + 
      17144*T1^6*T2^9 - 23770*T1^7*T2^9 + 18706*T1^8*T2^9 - 5290*T1^9*T2^9 - 
      7111*T1^10*T2^9 + 5822*T1^11*T2^9 - 1149*T1^12*T2^9 - 1192*T1^4*T2^10 + 
      5106*T1^5*T2^10 - 7640*T1^6*T2^10 + 4929*T1^7*T2^10 + 1334*T1^8*T2^10 - 
      7111*T1^9*T2^10 + 8700*T1^10*T2^10 - 4784*T1^11*T2^10 + 
      958*T1^12*T2^10 + 80*T1^5*T2^11 - 821*T1^6*T2^11 + 2806*T1^7*T2^11 - 
      4988*T1^8*T2^11 + 5822*T1^9*T2^11 - 4784*T1^10*T2^11 + 
      2399*T1^11*T2^11 - 495*T1^12*T2^11 + 105*T1^6*T2^12 - 495*T1^7*T2^12 + 
      958*T1^8*T2^12 - 1149*T1^9*T2^12 + 958*T1^10*T2^12 - 495*T1^11*T2^12 + 
      105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 290] -> 
  {-(((1 - T + T^2)^2*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^4), 
   -((-41 + 184*T1 - 429*T1^2 + 694*T1^3 - 795*T1^4 + 694*T1^5 - 429*T1^6 + 
      184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1262*T1^2*T2 - 1568*T1^3*T2 + 
      1066*T1^4*T2 - 248*T1^5*T2 - 578*T1^6*T2 + 722*T1^7*T2 - 480*T1^8*T2 + 
      148*T1^9*T2 - 429*T2^2 + 1262*T1*T2^2 - 1770*T1^2*T2^2 + 
      1478*T1^3*T2^2 + 214*T1^4*T2^2 - 1238*T1^5*T2^2 + 1726*T1^6*T2^2 - 
      622*T1^7*T2^2 - 174*T1^8*T2^2 + 506*T1^9*T2^2 - 261*T1^10*T2^2 + 
      694*T2^3 - 1568*T1*T2^3 + 1478*T1^2*T2^3 - 475*T1^3*T2^3 - 
      1866*T1^4*T2^3 + 1523*T1^5*T2^3 - 1054*T1^6*T2^3 - 1263*T1^7*T2^3 + 
      1199*T1^8*T2^3 - 727*T1^9*T2^3 - 110*T1^10*T2^3 + 286*T1^11*T2^3 - 
      795*T2^4 + 1066*T1*T2^4 + 214*T1^2*T2^4 - 1866*T1^3*T2^4 + 
      4075*T1^4*T2^4 - 1480*T1^5*T2^4 + 785*T1^6*T2^4 + 1736*T1^7*T2^4 + 
      319*T1^8*T2^4 - 846*T1^9*T2^4 + 1258*T1^10*T2^4 - 518*T1^11*T2^4 - 
      171*T1^12*T2^4 + 694*T2^5 - 248*T1*T2^5 - 1238*T1^2*T2^5 + 
      1523*T1^3*T2^5 - 1480*T1^4*T2^5 - 3263*T1^5*T2^5 + 1954*T1^6*T2^5 - 
      2453*T1^7*T2^5 - 2297*T1^8*T2^5 + 1748*T1^9*T2^5 - 1176*T1^10*T2^5 - 
      329*T1^11*T2^5 + 706*T1^12*T2^5 + 14*T1^13*T2^5 - 429*T2^6 - 
      578*T1*T2^6 + 1726*T1^2*T2^6 - 1054*T1^3*T2^6 + 785*T1^4*T2^6 + 
      1954*T1^5*T2^6 + 3302*T1^6*T2^6 - 3700*T1^7*T2^6 + 6974*T1^8*T2^6 - 
      2276*T1^9*T2^6 + 119*T1^10*T2^6 + 1340*T1^11*T2^6 - 722*T1^12*T2^6 - 
      398*T1^13*T2^6 + 75*T1^14*T2^6 + 184*T2^7 + 722*T1*T2^7 - 
      622*T1^2*T2^7 - 1263*T1^3*T2^7 + 1736*T1^4*T2^7 - 2453*T1^5*T2^7 - 
      3700*T1^6*T2^7 + 2623*T1^7*T2^7 - 3329*T1^8*T2^7 - 2212*T1^9*T2^7 + 
      2308*T1^10*T2^7 - 1444*T1^11*T2^7 - 198*T1^12*T2^7 + 953*T1^13*T2^7 - 
      34*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 174*T1^2*T2^8 + 
      1199*T1^3*T2^8 + 319*T1^4*T2^8 - 2297*T1^5*T2^8 + 6974*T1^6*T2^8 - 
      3329*T1^7*T2^8 + 1260*T1^8*T2^8 + 3133*T1^9*T2^8 - 1410*T1^10*T2^8 - 
      479*T1^11*T2^8 + 1279*T1^12*T2^8 - 935*T1^13*T2^8 - 348*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 506*T1^2*T2^9 - 
      727*T1^3*T2^9 - 846*T1^4*T2^9 + 1748*T1^5*T2^9 - 2276*T1^6*T2^9 - 
      2212*T1^7*T2^9 + 3133*T1^8*T2^9 - 2819*T1^9*T2^9 - 724*T1^10*T2^9 + 
      2485*T1^11*T2^9 - 1432*T1^12*T2^9 + 219*T1^13*T2^9 + 848*T1^14*T2^9 - 
      250*T1^15*T2^9 - 104*T1^16*T2^9 - 261*T1^2*T2^10 - 110*T1^3*T2^10 + 
      1258*T1^4*T2^10 - 1176*T1^5*T2^10 + 119*T1^6*T2^10 + 2308*T1^7*T2^10 - 
      1410*T1^8*T2^10 - 724*T1^9*T2^10 + 2262*T1^10*T2^10 - 
      1922*T1^11*T2^10 - 547*T1^12*T2^10 + 1218*T1^13*T2^10 - 
      1190*T1^14*T2^10 + 70*T1^15*T2^10 + 243*T1^16*T2^10 + 286*T1^3*T2^11 - 
      518*T1^4*T2^11 - 329*T1^5*T2^11 + 1340*T1^6*T2^11 - 1444*T1^7*T2^11 - 
      479*T1^8*T2^11 + 2485*T1^9*T2^11 - 1922*T1^10*T2^11 + 487*T1^11*T2^11 + 
      1784*T1^12*T2^11 - 1359*T1^13*T2^11 + 580*T1^14*T2^11 + 
      436*T1^15*T2^11 - 394*T1^16*T2^11 - 171*T1^4*T2^12 + 706*T1^5*T2^12 - 
      722*T1^6*T2^12 - 198*T1^7*T2^12 + 1279*T1^8*T2^12 - 1432*T1^9*T2^12 - 
      547*T1^10*T2^12 + 1784*T1^11*T2^12 - 2477*T1^12*T2^12 + 
      822*T1^13*T2^12 + 322*T1^14*T2^12 - 878*T1^15*T2^12 + 453*T1^16*T2^12 + 
      14*T1^5*T2^13 - 398*T1^6*T2^13 + 953*T1^7*T2^13 - 935*T1^8*T2^13 + 
      219*T1^9*T2^13 + 1218*T1^10*T2^13 - 1359*T1^11*T2^13 + 
      822*T1^12*T2^13 + 739*T1^13*T2^13 - 1252*T1^14*T2^13 + 
      1060*T1^15*T2^13 - 394*T1^16*T2^13 + 75*T1^6*T2^14 - 34*T1^7*T2^14 - 
      348*T1^8*T2^14 + 848*T1^9*T2^14 - 1190*T1^10*T2^14 + 580*T1^11*T2^14 + 
      322*T1^12*T2^14 - 1252*T1^13*T2^14 + 1248*T1^14*T2^14 - 
      790*T1^15*T2^14 + 243*T1^16*T2^14 - 68*T1^7*T2^15 + 204*T1^8*T2^15 - 
      250*T1^9*T2^15 + 70*T1^10*T2^15 + 436*T1^11*T2^15 - 878*T1^12*T2^15 + 
      1060*T1^13*T2^15 - 790*T1^14*T2^15 + 402*T1^15*T2^15 - 
      104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 243*T1^10*T2^16 - 
      394*T1^11*T2^16 + 453*T1^12*T2^16 - 394*T1^13*T2^16 + 243*T1^14*T2^16 - 
      104*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 291] -> {-(((1 - T + T^2)^2*(4 - 9*T + 4*T^2))/T^3), 
   (-2*(-104 + 442*T1 - 886*T1^2 + 1124*T1^3 - 886*T1^4 + 442*T1^5 - 
      104*T1^6 + 442*T2 - 1573*T1*T2 + 2465*T1^2*T2 - 2167*T1^3*T2 + 
      451*T1^4*T2 + 731*T1^5*T2 - 859*T1^6*T2 + 306*T1^7*T2 - 886*T2^2 + 
      2465*T1*T2^2 - 2384*T1^2*T2^2 + 45*T1^3*T2^2 + 3455*T1^4*T2^2 - 
      3491*T1^5*T2^2 + 1696*T1^6*T2^2 + 153*T1^7*T2^2 - 342*T1^8*T2^2 + 
      1124*T2^3 - 2167*T1*T2^3 + 45*T1^2*T2^3 + 3667*T1^3*T2^3 - 
      6446*T1^4*T2^3 + 2649*T1^5*T2^3 + 1054*T1^6*T2^3 - 2658*T1^7*T2^3 + 
      1063*T1^8*T2^3 + 92*T1^9*T2^3 - 886*T2^4 + 451*T1*T2^4 + 
      3455*T1^2*T2^4 - 6446*T1^3*T2^4 + 5948*T1^4*T2^4 + 1786*T1^5*T2^4 - 
      4898*T1^6*T2^4 + 3788*T1^7*T2^4 + 276*T1^8*T2^4 - 1249*T1^9*T2^4 + 
      202*T1^10*T2^4 + 442*T2^5 + 731*T1*T2^5 - 3491*T1^2*T2^5 + 
      2649*T1^3*T2^5 + 1786*T1^4*T2^5 - 9065*T1^5*T2^5 + 6575*T1^6*T2^5 - 
      526*T1^7*T2^5 - 4168*T1^8*T2^5 + 2544*T1^9*T2^5 + 153*T1^10*T2^5 - 
      238*T1^11*T2^5 - 104*T2^6 - 859*T1*T2^6 + 1696*T1^2*T2^6 + 
      1054*T1^3*T2^6 - 4898*T1^4*T2^6 + 6575*T1^5*T2^6 + 900*T1^6*T2^6 - 
      6957*T1^7*T2^6 + 6560*T1^8*T2^6 - 1010*T1^9*T2^6 - 1874*T1^10*T2^6 + 
      637*T1^11*T2^6 + 88*T1^12*T2^6 + 306*T1*T2^7 + 153*T1^2*T2^7 - 
      2658*T1^3*T2^7 + 3788*T1^4*T2^7 - 526*T1^5*T2^7 - 6957*T1^6*T2^7 + 
      8683*T1^7*T2^7 - 2838*T1^8*T2^7 - 3029*T1^9*T2^7 + 3377*T1^10*T2^7 - 
      425*T1^11*T2^7 - 374*T1^12*T2^7 - 342*T1^2*T2^8 + 1063*T1^3*T2^8 + 
      276*T1^4*T2^8 - 4168*T1^5*T2^8 + 6560*T1^6*T2^8 - 2838*T1^7*T2^8 - 
      4286*T1^8*T2^8 + 6066*T1^9*T2^8 - 2903*T1^10*T2^8 - 637*T1^11*T2^8 + 
      746*T1^12*T2^8 + 92*T1^3*T2^9 - 1249*T1^4*T2^9 + 2544*T1^5*T2^9 - 
      1010*T1^6*T2^9 - 3029*T1^7*T2^9 + 6066*T1^8*T2^9 - 3623*T1^9*T2^9 - 
      159*T1^10*T2^9 + 1981*T1^11*T2^9 - 940*T1^12*T2^9 + 202*T1^4*T2^10 + 
      153*T1^5*T2^10 - 1874*T1^6*T2^10 + 3377*T1^7*T2^10 - 2903*T1^8*T2^10 - 
      159*T1^9*T2^10 + 2206*T1^10*T2^10 - 2159*T1^11*T2^10 + 
      746*T1^12*T2^10 - 238*T1^5*T2^11 + 637*T1^6*T2^11 - 425*T1^7*T2^11 - 
      637*T1^8*T2^11 + 1981*T1^9*T2^11 - 2159*T1^10*T2^11 + 
      1351*T1^11*T2^11 - 374*T1^12*T2^11 + 88*T1^6*T2^12 - 374*T1^7*T2^12 + 
      746*T1^8*T2^12 - 940*T1^9*T2^12 + 746*T1^10*T2^12 - 374*T1^11*T2^12 + 
      88*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 292] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6))/T^4), 
   -((-3 + 24*T1 - 75*T1^2 + 141*T1^3 - 171*T1^4 + 141*T1^5 - 75*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 473*T1^2*T2 - 731*T1^3*T2 + 
      618*T1^4*T2 - 214*T1^5*T2 - 155*T1^6*T2 + 209*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 75*T2^2 + 473*T1*T2^2 - 875*T1^2*T2^2 + 508*T1^3*T2^2 + 
      1178*T1^4*T2^2 - 2685*T1^5*T2^2 + 2778*T1^6*T2^2 - 1442*T1^7*T2^2 + 
      325*T1^8*T2^2 + 73*T1^9*T2^2 - 25*T1^10*T2^2 + 141*T2^3 - 731*T1*T2^3 + 
      508*T1^2*T2^3 + 1825*T1^3*T2^3 - 5877*T1^4*T2^3 + 6829*T1^5*T2^3 - 
      3819*T1^6*T2^3 - 642*T1^7*T2^3 + 1993*T1^8*T2^3 - 1217*T1^9*T2^3 + 
      197*T1^10*T2^3 - 171*T2^4 + 618*T1*T2^4 + 1178*T1^2*T2^4 - 
      5877*T1^3*T2^4 + 10374*T1^4*T2^4 - 6375*T1^5*T2^4 - 2518*T1^6*T2^4 + 
      8797*T1^7*T2^4 - 6186*T1^8*T2^4 + 1455*T1^9*T2^4 + 862*T1^10*T2^4 - 
      454*T1^11*T2^4 + 57*T1^12*T2^4 + 141*T2^5 - 214*T1*T2^5 - 
      2685*T1^2*T2^5 + 6829*T1^3*T2^5 - 6375*T1^4*T2^5 - 5802*T1^5*T2^5 + 
      16539*T1^6*T2^5 - 14920*T1^7*T2^5 + 1158*T1^8*T2^5 + 7119*T1^9*T2^5 - 
      5751*T1^10*T2^5 + 1209*T1^11*T2^5 + 298*T1^12*T2^5 - 94*T1^13*T2^5 - 
      75*T2^6 - 155*T1*T2^6 + 2778*T1^2*T2^6 - 3819*T1^3*T2^6 - 
      2518*T1^4*T2^6 + 16539*T1^5*T2^6 - 17741*T1^6*T2^6 + 701*T1^7*T2^6 + 
      18403*T1^8*T2^6 - 17437*T1^9*T2^6 + 3744*T1^10*T2^6 + 3931*T1^11*T2^6 - 
      2654*T1^12*T2^6 + 149*T1^13*T2^6 + 75*T1^14*T2^6 + 24*T2^7 + 
      209*T1*T2^7 - 1442*T1^2*T2^7 - 642*T1^3*T2^7 + 8797*T1^4*T2^7 - 
      14920*T1^5*T2^7 + 701*T1^6*T2^7 + 25340*T1^7*T2^7 - 31972*T1^8*T2^7 + 
      11064*T1^9*T2^7 + 11505*T1^10*T2^7 - 11409*T1^11*T2^7 + 
      2511*T1^12*T2^7 + 1633*T1^13*T2^7 - 343*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 325*T1^2*T2^8 + 1993*T1^3*T2^8 - 
      6186*T1^4*T2^8 + 1158*T1^5*T2^8 + 18403*T1^6*T2^8 - 31972*T1^7*T2^8 + 
      11172*T1^8*T2^8 + 21056*T1^9*T2^8 - 31747*T1^10*T2^8 + 
      11202*T1^11*T2^8 + 3378*T1^12*T2^8 - 4365*T1^13*T2^8 - 47*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 73*T1^2*T2^9 - 
      1217*T1^3*T2^9 + 1455*T1^4*T2^9 + 7119*T1^5*T2^9 - 17437*T1^6*T2^9 + 
      11064*T1^7*T2^9 + 21056*T1^8*T2^9 - 36256*T1^9*T2^9 + 
      21427*T1^10*T2^9 + 8988*T1^11*T2^9 - 13087*T1^12*T2^9 + 
      4608*T1^13*T2^9 + 1858*T1^14*T2^9 - 479*T1^15*T2^9 - 40*T1^16*T2^9 - 
      25*T1^2*T2^10 + 197*T1^3*T2^10 + 862*T1^4*T2^10 - 5751*T1^5*T2^10 + 
      3744*T1^6*T2^10 + 11505*T1^7*T2^10 - 31747*T1^8*T2^10 + 
      21427*T1^9*T2^10 + 4397*T1^10*T2^10 - 22471*T1^11*T2^10 + 
      10006*T1^12*T2^10 + 1999*T1^13*T2^10 - 4570*T1^14*T2^10 + 
      501*T1^15*T2^10 + 125*T1^16*T2^10 - 454*T1^4*T2^11 + 1209*T1^5*T2^11 + 
      3931*T1^6*T2^11 - 11409*T1^7*T2^11 + 11202*T1^8*T2^11 + 
      8988*T1^9*T2^11 - 22471*T1^10*T2^11 + 18162*T1^11*T2^11 + 
      2085*T1^12*T2^11 - 8649*T1^13*T2^11 + 5103*T1^14*T2^11 + 
      58*T1^15*T2^11 - 235*T1^16*T2^11 + 57*T1^4*T2^12 + 298*T1^5*T2^12 - 
      2654*T1^6*T2^12 + 2511*T1^7*T2^12 + 3378*T1^8*T2^12 - 
      13087*T1^9*T2^12 + 10006*T1^10*T2^12 + 2085*T1^11*T2^12 - 
      13182*T1^12*T2^12 + 9843*T1^13*T2^12 - 2970*T1^14*T2^12 - 
      774*T1^15*T2^12 + 285*T1^16*T2^12 - 94*T1^5*T2^13 + 149*T1^6*T2^13 + 
      1633*T1^7*T2^13 - 4365*T1^8*T2^13 + 4608*T1^9*T2^13 + 
      1999*T1^10*T2^13 - 8649*T1^11*T2^13 + 9843*T1^12*T2^13 - 
      4197*T1^13*T2^13 - 92*T1^14*T2^13 + 1077*T1^15*T2^13 - 
      235*T1^16*T2^13 + 75*T1^6*T2^14 - 343*T1^7*T2^14 - 47*T1^8*T2^14 + 
      1858*T1^9*T2^14 - 4570*T1^10*T2^14 + 5103*T1^11*T2^14 - 
      2970*T1^12*T2^14 - 92*T1^13*T2^14 + 1153*T1^14*T2^14 - 
      743*T1^15*T2^14 + 125*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      479*T1^9*T2^15 + 501*T1^10*T2^15 + 58*T1^11*T2^15 - 774*T1^12*T2^15 + 
      1077*T1^13*T2^15 - 743*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 125*T1^10*T2^16 - 235*T1^11*T2^16 + 
      285*T1^12*T2^16 - 235*T1^13*T2^16 + 125*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 293] -> 
  {(7 - 26*T + 50*T^2 - 61*T^3 + 50*T^4 - 26*T^5 + 7*T^6)/T^3, 
   -((2149 - 7878*T1 + 15052*T1^2 - 18321*T1^3 + 15052*T1^4 - 7878*T1^5 + 
      2149*T1^6 - 7878*T2 + 22368*T1*T2 - 31212*T1^2*T2 + 21187*T1^3*T2 + 
      985*T1^4*T2 - 17380*T1^5*T2 + 16362*T1^6*T2 - 6604*T1^7*T2 + 
      15052*T2^2 - 31212*T1*T2^2 + 26811*T1^2*T2^2 + 5177*T1^3*T2^2 - 
      32053*T1^4*T2^2 + 29677*T1^5*T2^2 - 3289*T1^6*T2^2 - 13012*T1^7*T2^2 + 
      10152*T1^8*T2^2 - 18321*T2^3 + 21187*T1*T2^3 + 5177*T1^2*T2^3 - 
      43865*T1^3*T2^3 + 42421*T1^4*T2^3 - 4523*T1^5*T2^3 - 32173*T1^6*T2^3 + 
      26327*T1^7*T2^3 - 3019*T1^8*T2^3 - 9354*T1^9*T2^3 + 15052*T2^4 + 
      985*T1*T2^4 - 32053*T1^2*T2^4 + 42421*T1^3*T2^4 + 3779*T1^4*T2^4 - 
      51111*T1^5*T2^4 + 54599*T1^6*T2^4 - 8575*T1^7*T2^4 - 19581*T1^8*T2^4 + 
      15181*T1^9*T2^4 + 5252*T1^10*T2^4 - 7878*T2^5 - 17380*T1*T2^5 + 
      29677*T1^2*T2^5 - 4523*T1^3*T2^5 - 51111*T1^4*T2^5 + 58202*T1^5*T2^5 - 
      13978*T1^6*T2^5 - 39011*T1^7*T2^5 + 34317*T1^8*T2^5 - 4873*T1^9*T2^5 - 
      13740*T1^10*T2^5 - 1508*T1^11*T2^5 + 2149*T2^6 + 16362*T1*T2^6 - 
      3289*T1^2*T2^6 - 32173*T1^3*T2^6 + 54599*T1^4*T2^6 - 13978*T1^5*T2^6 - 
      38568*T1^6*T2^6 + 52394*T1^7*T2^6 - 10157*T1^8*T2^6 - 19439*T1^9*T2^6 + 
      17315*T1^10*T2^6 + 5078*T1^11*T2^6 + 91*T1^12*T2^6 - 6604*T1*T2^7 - 
      13012*T1^2*T2^7 + 26327*T1^3*T2^7 - 8575*T1^4*T2^7 - 39011*T1^5*T2^7 + 
      52394*T1^6*T2^7 - 19786*T1^7*T2^7 - 26911*T1^8*T2^7 + 30265*T1^9*T2^7 - 
      8223*T1^10*T2^7 - 9372*T1^11*T2^7 - 234*T1^12*T2^7 + 10152*T1^2*T2^8 - 
      3019*T1^3*T2^8 - 19581*T1^4*T2^8 + 34317*T1^5*T2^8 - 10157*T1^6*T2^8 - 
      26911*T1^7*T2^8 + 40663*T1^8*T2^8 - 16679*T1^9*T2^8 - 7109*T1^10*T2^8 + 
      11177*T1^11*T2^8 + 352*T1^12*T2^8 - 9354*T1^3*T2^9 + 15181*T1^4*T2^9 - 
      4873*T1^5*T2^9 - 19439*T1^6*T2^9 + 30265*T1^7*T2^9 - 16679*T1^8*T2^9 - 
      7747*T1^9*T2^9 + 16277*T1^10*T2^9 - 9025*T1^11*T2^9 - 387*T1^12*T2^9 + 
      5252*T1^4*T2^10 - 13740*T1^5*T2^10 + 17315*T1^6*T2^10 - 
      8223*T1^7*T2^10 - 7109*T1^8*T2^10 + 16277*T1^9*T2^10 - 
      12785*T1^10*T2^10 + 4460*T1^11*T2^10 + 352*T1^12*T2^10 - 
      1508*T1^5*T2^11 + 5078*T1^6*T2^11 - 9372*T1^7*T2^11 + 
      11177*T1^8*T2^11 - 9025*T1^9*T2^11 + 4460*T1^10*T2^11 - 
      928*T1^11*T2^11 - 234*T1^12*T2^11 + 91*T1^6*T2^12 - 234*T1^7*T2^12 + 
      352*T1^8*T2^12 - 387*T1^9*T2^12 + 352*T1^10*T2^12 - 234*T1^11*T2^12 + 
      91*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 294] -> 
  {(2 - 9*T + 24*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 24*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 186*T1^2 + 312*T1^3 - 367*T1^4 + 312*T1^5 - 
     186*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 284*T1*T2 + 700*T1^2*T2 - 
     1011*T1^3*T2 + 973*T1^4*T2 - 593*T1^5*T2 + 141*T1^6*T2 + 106*T1^7*T2 - 
     86*T1^8*T2 + 33*T1^9*T2 - 186*T2^2 + 700*T1*T2^2 - 1593*T1^2*T2^2 + 
     1961*T1^3*T2^2 - 1400*T1^4*T2^2 + 199*T1^5*T2^2 + 808*T1^6*T2^2 - 
     1015*T1^7*T2^2 + 519*T1^8*T2^2 - 164*T1^9*T2^2 + 6*T1^10*T2^2 + 
     312*T2^3 - 1011*T1*T2^3 + 1961*T1^2*T2^3 - 1540*T1^3*T2^3 - 
     134*T1^4*T2^3 + 1692*T1^5*T2^3 - 1740*T1^6*T2^3 + 250*T1^7*T2^3 + 
     1412*T1^8*T2^3 - 1423*T1^9*T2^3 + 717*T1^10*T2^3 - 168*T1^11*T2^3 - 
     367*T2^4 + 973*T1*T2^4 - 1400*T1^2*T2^4 - 134*T1^3*T2^4 + 
     2190*T1^4*T2^4 - 2154*T1^5*T2^4 - 140*T1^6*T2^4 + 2750*T1^7*T2^4 - 
     3210*T1^8*T2^4 + 666*T1^9*T2^4 + 1144*T1^10*T2^4 - 971*T1^11*T2^4 + 
     385*T1^12*T2^4 + 312*T2^5 - 593*T1*T2^5 + 199*T1^2*T2^5 + 
     1692*T1^3*T2^5 - 2154*T1^4*T2^5 - 2081*T1^5*T2^5 + 6948*T1^6*T2^5 - 
     8556*T1^7*T2^5 + 5095*T1^8*T2^5 + 664*T1^9*T2^5 - 2204*T1^10*T2^5 + 
     100*T1^11*T2^5 + 469*T1^12*T2^5 - 488*T1^13*T2^5 - 186*T2^6 + 
     141*T1*T2^6 + 808*T1^2*T2^6 - 1740*T1^3*T2^6 - 140*T1^4*T2^6 + 
     6948*T1^5*T2^6 - 8354*T1^6*T2^6 + 3344*T1^7*T2^6 + 5230*T1^8*T2^6 - 
     9708*T1^9*T2^6 + 5428*T1^10*T2^6 + 996*T1^11*T2^6 - 728*T1^12*T2^6 + 
     429*T1^13*T2^6 + 390*T1^14*T2^6 + 69*T2^7 + 106*T1*T2^7 - 
     1015*T1^2*T2^7 + 250*T1^3*T2^7 + 2750*T1^4*T2^7 - 8556*T1^5*T2^7 + 
     3344*T1^6*T2^7 + 4388*T1^7*T2^7 - 9106*T1^8*T2^7 + 4720*T1^9*T2^7 + 
     4644*T1^10*T2^7 - 8412*T1^11*T2^7 + 1530*T1^12*T2^7 - 79*T1^13*T2^7 - 
     920*T1^14*T2^7 - 183*T1^15*T2^7 - 15*T2^8 - 86*T1*T2^8 + 519*T1^2*T2^8 + 
     1412*T1^3*T2^8 - 3210*T1^4*T2^8 + 5095*T1^5*T2^8 + 5230*T1^6*T2^8 - 
     9106*T1^7*T2^8 + 6084*T1^8*T2^8 + 3474*T1^9*T2^8 - 8962*T1^10*T2^8 + 
     4897*T1^11*T2^8 + 5350*T1^12*T2^8 - 2540*T1^13*T2^8 + 1521*T1^14*T2^8 + 
     598*T1^15*T2^8 + 49*T1^16*T2^8 + 33*T1*T2^9 - 164*T1^2*T2^9 - 
     1423*T1^3*T2^9 + 666*T1^4*T2^9 + 664*T1^5*T2^9 - 9708*T1^6*T2^9 + 
     4720*T1^7*T2^9 + 3474*T1^8*T2^9 - 10020*T1^9*T2^9 + 6096*T1^10*T2^9 + 
     3492*T1^11*T2^9 - 10498*T1^12*T2^9 + 1946*T1^13*T2^9 - 487*T1^14*T2^9 - 
     1190*T1^15*T2^9 - 219*T1^16*T2^9 + 6*T1^2*T2^10 + 717*T1^3*T2^10 + 
     1144*T1^4*T2^10 - 2204*T1^5*T2^10 + 5428*T1^6*T2^10 + 4644*T1^7*T2^10 - 
     8962*T1^8*T2^10 + 6096*T1^9*T2^10 + 4622*T1^10*T2^10 - 
     12012*T1^11*T2^10 + 10996*T1^12*T2^10 + 532*T1^13*T2^10 - 
     392*T1^14*T2^10 + 1005*T1^15*T2^10 + 582*T1^16*T2^10 - 168*T1^3*T2^11 - 
     971*T1^4*T2^11 + 100*T1^5*T2^11 + 996*T1^6*T2^11 - 8412*T1^7*T2^11 + 
     4897*T1^8*T2^11 + 3492*T1^9*T2^11 - 12012*T1^10*T2^11 + 
     12073*T1^11*T2^11 - 5594*T1^12*T2^11 - 2900*T1^13*T2^11 + T1^14*T2^11 + 
     91*T1^15*T2^11 - 968*T1^16*T2^11 + 385*T1^4*T2^12 + 469*T1^5*T2^12 - 
     728*T1^6*T2^12 + 1530*T1^7*T2^12 + 5350*T1^8*T2^12 - 10498*T1^9*T2^12 + 
     10996*T1^10*T2^12 - 5594*T1^11*T2^12 - 50*T1^12*T2^12 + 
     2330*T1^13*T2^12 + 1816*T1^14*T2^12 - 1475*T1^15*T2^12 + 
     1137*T1^16*T2^12 - 488*T1^5*T2^13 + 429*T1^6*T2^13 - 79*T1^7*T2^13 - 
     2540*T1^8*T2^13 + 1946*T1^9*T2^13 + 532*T1^10*T2^13 - 2900*T1^11*T2^13 + 
     2330*T1^12*T2^13 + 412*T1^13*T2^13 - 3463*T1^14*T2^13 + 
     2157*T1^15*T2^13 - 968*T1^16*T2^13 + 390*T1^6*T2^14 - 920*T1^7*T2^14 + 
     1521*T1^8*T2^14 - 487*T1^9*T2^14 - 392*T1^10*T2^14 + T1^11*T2^14 + 
     1816*T1^12*T2^14 - 3463*T1^13*T2^14 + 3633*T1^14*T2^14 - 
     1784*T1^15*T2^14 + 582*T1^16*T2^14 - 183*T1^7*T2^15 + 598*T1^8*T2^15 - 
     1190*T1^9*T2^15 + 1005*T1^10*T2^15 + 91*T1^11*T2^15 - 1475*T1^12*T2^15 + 
     2157*T1^13*T2^15 - 1784*T1^14*T2^15 + 796*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 582*T1^10*T2^16 - 
     968*T1^11*T2^16 + 1137*T1^12*T2^16 - 968*T1^13*T2^16 + 582*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 295] -> {((1 - T + T^2)^2*(6 - 11*T + 6*T^2))/T^3, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (1347 - 3754*T1 + 5051*T1^2 - 3754*T1^3 + 1347*T1^4 - 3754*T2 + 
       7590*T1*T2 - 6004*T1^2*T2 - 484*T1^3*T2 + 4416*T1^4*T2 - 
       2926*T1^5*T2 + 5051*T2^2 - 6004*T1*T2^2 - 1491*T1^2*T2^2 + 
       10041*T1^3*T2^2 - 8529*T1^4*T2^2 + 1034*T1^5*T2^2 + 2567*T1^6*T2^2 - 
       3754*T2^3 - 484*T1*T2^3 + 10041*T1^2*T2^3 - 12466*T1^3*T2^3 + 
       2392*T1^4*T2^3 + 6131*T1^5*T2^3 - 4678*T1^6*T2^3 - 910*T1^7*T2^3 + 
       1347*T2^4 + 4416*T1*T2^4 - 8529*T1^2*T2^4 + 2392*T1^3*T2^4 + 
       8832*T1^4*T2^4 - 10120*T1^5*T2^4 + 2687*T1^6*T2^4 + 2376*T1^7*T2^4 + 
       51*T1^8*T2^4 - 2926*T1*T2^5 + 1034*T1^2*T2^5 + 6131*T1^3*T2^5 - 
       10120*T1^4*T2^5 + 4738*T1^5*T2^5 + 2221*T1^6*T2^5 - 3160*T1^7*T2^5 - 
       82*T1^8*T2^5 + 2567*T1^2*T2^6 - 4678*T1^3*T2^6 + 2687*T1^4*T2^6 + 
       2221*T1^5*T2^6 - 4351*T1^6*T2^6 + 2360*T1^7*T2^6 + 83*T1^8*T2^6 - 
       910*T1^3*T2^7 + 2376*T1^4*T2^7 - 3160*T1^5*T2^7 + 2360*T1^6*T2^7 - 
       798*T1^7*T2^7 - 82*T1^8*T2^7 + 51*T1^4*T2^8 - 82*T1^5*T2^8 + 
       83*T1^6*T2^8 - 82*T1^7*T2^8 + 51*T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 296] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 774*T1 - 2021*T1^2 + 2677*T1^3 - 2021*T1^4 + 774*T1^5 - 111*T1^6 + 
     774*T2 - 4815*T1*T2 + 10031*T1^2*T2 - 8051*T1^3*T2 + 13*T1^4*T2 + 
     5243*T1^5*T2 - 3303*T1^6*T2 + 585*T1^7*T2 - 2021*T2^2 + 10031*T1*T2^2 - 
     9516*T1^2*T2^2 - 18067*T1^3*T2^2 + 42602*T1^4*T2^2 - 35227*T1^5*T2^2 + 
     7644*T1^6*T2^2 + 3101*T1^7*T2^2 - 1031*T1^8*T2^2 + 2677*T2^3 - 
     8051*T1*T2^3 - 18067*T1^2*T2^3 + 79664*T1^3*T2^3 - 82584*T1^4*T2^3 + 
     15324*T1^5*T2^3 + 41816*T1^6*T2^3 - 26482*T1^7*T2^3 + 2281*T1^8*T2^3 + 
     706*T1^9*T2^3 - 2021*T2^4 + 13*T1*T2^4 + 42602*T1^2*T2^4 - 
     82584*T1^3*T2^4 - 2519*T1^4*T2^4 + 120263*T1^5*T2^4 - 127631*T1^6*T2^4 + 
     28668*T1^7*T2^4 + 14516*T1^8*T2^4 - 4649*T1^9*T2^4 - 41*T1^10*T2^4 + 
     774*T2^5 + 5243*T1*T2^5 - 35227*T1^2*T2^5 + 15324*T1^3*T2^5 + 
     120263*T1^4*T2^5 - 181571*T1^5*T2^5 + 76569*T1^6*T2^5 + 
     61138*T1^7*T2^5 - 55896*T1^8*T2^5 + 8168*T1^9*T2^5 + 1463*T1^10*T2^5 - 
     171*T1^11*T2^5 - 111*T2^6 - 3303*T1*T2^6 + 7644*T1^2*T2^6 + 
     41816*T1^3*T2^6 - 127631*T1^4*T2^6 + 76569*T1^5*T2^6 + 78312*T1^6*T2^6 - 
     147437*T1^7*T2^6 + 61167*T1^8*T2^6 + 7844*T1^9*T2^6 - 8280*T1^10*T2^6 + 
     855*T1^11*T2^6 + 51*T1^12*T2^6 + 585*T1*T2^7 + 3101*T1^2*T2^7 - 
     26482*T1^3*T2^7 + 28668*T1^4*T2^7 + 61138*T1^5*T2^7 - 147437*T1^6*T2^7 + 
     110703*T1^7*T2^7 + 2013*T1^8*T2^7 - 42552*T1^9*T2^7 + 16913*T1^10*T2^7 - 
     679*T1^11*T2^7 - 360*T1^12*T2^7 - 1031*T1^2*T2^8 + 2281*T1^3*T2^8 + 
     14516*T1^4*T2^8 - 55896*T1^5*T2^8 + 61167*T1^6*T2^8 + 2013*T1^7*T2^8 - 
     63945*T1^8*T2^8 + 55356*T1^9*T2^8 - 13570*T1^10*T2^8 - 2381*T1^11*T2^8 + 
     949*T1^12*T2^8 + 706*T1^3*T2^9 - 4649*T1^4*T2^9 + 8168*T1^5*T2^9 + 
     7844*T1^6*T2^9 - 42552*T1^7*T2^9 + 55356*T1^8*T2^9 - 30004*T1^9*T2^9 - 
     247*T1^10*T2^9 + 5683*T1^11*T2^9 - 1265*T1^12*T2^9 - 41*T1^4*T2^10 + 
     1463*T1^5*T2^10 - 8280*T1^6*T2^10 + 16913*T1^7*T2^10 - 
     13570*T1^8*T2^10 - 247*T1^9*T2^10 + 8880*T1^10*T2^10 - 
     5467*T1^11*T2^10 + 949*T1^12*T2^10 - 171*T1^5*T2^11 + 855*T1^6*T2^11 - 
     679*T1^7*T2^11 - 2381*T1^8*T2^11 + 5683*T1^9*T2^11 - 5467*T1^10*T2^11 + 
     2367*T1^11*T2^11 - 360*T1^12*T2^11 + 51*T1^6*T2^12 - 360*T1^7*T2^12 + 
     949*T1^8*T2^12 - 1265*T1^9*T2^12 + 949*T1^10*T2^12 - 360*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 297] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 46*T1 - 85*T1^2 + 101*T1^3 - 85*T1^4 + 46*T1^5 - 15*T1^6 + 
      46*T2 - 126*T1*T2 + 214*T1^2*T2 - 224*T1^3*T2 + 160*T1^4*T2 - 
      58*T1^5*T2 + 2*T1^6*T2 + 14*T1^7*T2 - 85*T2^2 + 214*T1*T2^2 - 
      313*T1^2*T2^2 + 247*T1^3*T2^2 - 53*T1^4*T2^2 - 173*T1^5*T2^2 + 
      227*T1^6*T2^2 - 146*T1^7*T2^2 + 35*T1^8*T2^2 + 101*T2^3 - 224*T1*T2^3 + 
      247*T1^2*T2^3 - 88*T1^3*T2^3 - 157*T1^4*T2^3 + 283*T1^5*T2^3 - 
      92*T1^6*T2^3 - 161*T1^7*T2^3 + 216*T1^8*T2^3 - 107*T1^9*T2^3 - 
      85*T2^4 + 160*T1*T2^4 - 53*T1^2*T2^4 - 157*T1^3*T2^4 + 371*T1^4*T2^4 - 
      285*T1^5*T2^4 - 41*T1^6*T2^4 + 207*T1^7*T2^4 - 25*T1^8*T2^4 - 
      120*T1^9*T2^4 + 147*T1^10*T2^4 + 46*T2^5 - 58*T1*T2^5 - 173*T1^2*T2^5 + 
      283*T1^3*T2^5 - 285*T1^4*T2^5 - 146*T1^5*T2^5 + 442*T1^6*T2^5 - 
      359*T1^7*T2^5 - 81*T1^8*T2^5 + 143*T1^9*T2^5 - 98*T1^10*T2^5 - 
      114*T1^11*T2^5 - 15*T2^6 + 2*T1*T2^6 + 227*T1^2*T2^6 - 92*T1^3*T2^6 - 
      41*T1^4*T2^6 + 442*T1^5*T2^6 - 228*T1^6*T2^6 - 178*T1^7*T2^6 + 
      587*T1^8*T2^6 - 244*T1^9*T2^6 + 43*T1^10*T2^6 + 194*T1^11*T2^6 + 
      49*T1^12*T2^6 + 14*T1*T2^7 - 146*T1^2*T2^7 - 161*T1^3*T2^7 + 
      207*T1^4*T2^7 - 359*T1^5*T2^7 - 178*T1^6*T2^7 + 410*T1^7*T2^7 - 
      433*T1^8*T2^7 - 157*T1^9*T2^7 + 155*T1^10*T2^7 - 186*T1^11*T2^7 - 
      146*T1^12*T2^7 + 35*T1^2*T2^8 + 216*T1^3*T2^8 - 25*T1^4*T2^8 - 
      81*T1^5*T2^8 + 587*T1^6*T2^8 - 433*T1^7*T2^8 + 175*T1^8*T2^8 + 
      283*T1^9*T2^8 + 3*T1^10*T2^8 - 64*T1^11*T2^8 + 267*T1^12*T2^8 - 
      107*T1^3*T2^9 - 120*T1^4*T2^9 + 143*T1^5*T2^9 - 244*T1^6*T2^9 - 
      157*T1^7*T2^9 + 283*T1^8*T2^9 - 248*T1^9*T2^9 - 265*T1^10*T2^9 + 
      320*T1^11*T2^9 - 315*T1^12*T2^9 + 147*T1^4*T2^10 - 98*T1^5*T2^10 + 
      43*T1^6*T2^10 + 155*T1^7*T2^10 + 3*T1^8*T2^10 - 265*T1^9*T2^10 + 
      583*T1^10*T2^10 - 458*T1^11*T2^10 + 267*T1^12*T2^10 - 114*T1^5*T2^11 + 
      194*T1^6*T2^11 - 186*T1^7*T2^11 - 64*T1^8*T2^11 + 320*T1^9*T2^11 - 
      458*T1^10*T2^11 + 322*T1^11*T2^11 - 146*T1^12*T2^11 + 49*T1^6*T2^12 - 
      146*T1^7*T2^12 + 267*T1^8*T2^12 - 315*T1^9*T2^12 + 267*T1^10*T2^12 - 
      146*T1^11*T2^12 + 49*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 298] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 108*T1^3 - 129*T1^4 + 108*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 476*T1^3*T2 + 
      399*T1^4*T2 - 154*T1^5*T2 - 84*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 325*T1^3*T2^2 + 
      570*T1^4*T2^2 - 1355*T1^5*T2^2 + 1490*T1^6*T2^2 - 835*T1^7*T2^2 + 
      231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 108*T2^3 - 476*T1*T2^3 + 
      325*T1^2*T2^3 + 748*T1^3*T2^3 - 2617*T1^4*T2^3 + 3077*T1^5*T2^3 - 
      1935*T1^6*T2^3 - 177*T1^7*T2^3 + 964*T1^8*T2^3 - 715*T1^9*T2^3 + 
      140*T1^10*T2^3 - 129*T2^4 + 399*T1*T2^4 + 570*T1^2*T2^4 - 
      2617*T1^3*T2^4 + 4623*T1^4*T2^4 - 3157*T1^5*T2^4 - 211*T1^6*T2^4 + 
      3447*T1^7*T2^4 - 2769*T1^8*T2^4 + 767*T1^9*T2^4 + 482*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 108*T2^5 - 154*T1*T2^5 - 
      1355*T1^2*T2^5 + 3077*T1^3*T2^5 - 3157*T1^4*T2^5 - 1137*T1^5*T2^5 + 
      5201*T1^6*T2^5 - 5971*T1^7*T2^5 + 693*T1^8*T2^5 + 3074*T1^9*T2^5 - 
      2743*T1^10*T2^5 + 646*T1^11*T2^5 + 203*T1^12*T2^5 - 72*T1^13*T2^5 - 
      60*T2^6 - 84*T1*T2^6 + 1490*T1^2*T2^6 - 1935*T1^3*T2^6 - 
      211*T1^4*T2^6 + 5201*T1^5*T2^6 - 6622*T1^6*T2^6 + 2208*T1^7*T2^6 + 
      5986*T1^8*T2^6 - 6663*T1^9*T2^6 + 1341*T1^10*T2^6 + 1865*T1^11*T2^6 - 
      1446*T1^12*T2^6 + 84*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 835*T1^2*T2^7 - 177*T1^3*T2^7 + 3447*T1^4*T2^7 - 
      5971*T1^5*T2^7 + 2208*T1^6*T2^7 + 7139*T1^7*T2^7 - 12701*T1^8*T2^7 + 
      5816*T1^9*T2^7 + 3817*T1^10*T2^7 - 4276*T1^11*T2^7 + 1159*T1^12*T2^7 + 
      925*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      231*T1^2*T2^8 + 964*T1^3*T2^8 - 2769*T1^4*T2^8 + 693*T1^5*T2^8 + 
      5986*T1^6*T2^8 - 12701*T1^7*T2^8 + 7404*T1^8*T2^8 + 6045*T1^9*T2^8 - 
      12406*T1^10*T2^8 + 4695*T1^11*T2^8 + 847*T1^12*T2^8 - 2052*T1^13*T2^8 - 
      67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 
      42*T1^2*T2^9 - 715*T1^3*T2^9 + 767*T1^4*T2^9 + 3074*T1^5*T2^9 - 
      6663*T1^6*T2^9 + 5816*T1^7*T2^9 + 6045*T1^8*T2^9 - 13795*T1^9*T2^9 + 
      9424*T1^10*T2^9 + 3125*T1^11*T2^9 - 4649*T1^12*T2^9 + 2103*T1^13*T2^9 + 
      1045*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 20*T1^2*T2^10 + 
      140*T1^3*T2^10 + 482*T1^4*T2^10 - 2743*T1^5*T2^10 + 1341*T1^6*T2^10 + 
      3817*T1^7*T2^10 - 12406*T1^8*T2^10 + 9424*T1^9*T2^10 + 
      202*T1^10*T2^10 - 8047*T1^11*T2^10 + 2893*T1^12*T2^10 + 
      1057*T1^13*T2^10 - 2454*T1^14*T2^10 + 308*T1^15*T2^10 + 
      100*T1^16*T2^10 - 301*T1^4*T2^11 + 646*T1^5*T2^11 + 1865*T1^6*T2^11 - 
      4276*T1^7*T2^11 + 4695*T1^8*T2^11 + 3125*T1^9*T2^11 - 
      8047*T1^10*T2^11 + 6525*T1^11*T2^11 + 1955*T1^12*T2^11 - 
      3955*T1^13*T2^11 + 2647*T1^14*T2^11 + 56*T1^15*T2^11 - 
      180*T1^16*T2^11 + 43*T1^4*T2^12 + 203*T1^5*T2^12 - 1446*T1^6*T2^12 + 
      1159*T1^7*T2^12 + 847*T1^8*T2^12 - 4649*T1^9*T2^12 + 2893*T1^10*T2^12 + 
      1955*T1^11*T2^12 - 6545*T1^12*T2^12 + 4543*T1^13*T2^12 - 
      1534*T1^14*T2^12 - 497*T1^15*T2^12 + 215*T1^16*T2^12 - 72*T1^5*T2^13 + 
      84*T1^6*T2^13 + 925*T1^7*T2^13 - 2052*T1^8*T2^13 + 2103*T1^9*T2^13 + 
      1057*T1^10*T2^13 - 3955*T1^11*T2^13 + 4543*T1^12*T2^13 - 
      1836*T1^13*T2^13 - 115*T1^14*T2^13 + 700*T1^15*T2^13 - 
      180*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 
      1045*T1^9*T2^14 - 2454*T1^10*T2^14 + 2647*T1^11*T2^14 - 
      1534*T1^12*T2^14 - 115*T1^13*T2^14 + 693*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 308*T1^10*T2^15 + 56*T1^11*T2^15 - 497*T1^12*T2^15 + 
      700*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 180*T1^11*T2^16 + 
      215*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 299] -> 
  {(1 - 7*T + 20*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 120*T1^2 + 198*T1^3 - 234*T1^4 + 198*T1^5 - 120*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 595*T1^2*T2 - 686*T1^3*T2 + 
     483*T1^4*T2 - 21*T1^5*T2 - 315*T1^6*T2 + 406*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 120*T2^2 + 595*T1*T2^2 - 770*T1^2*T2^2 - 362*T1^3*T2^2 + 
     1781*T1^4*T2^2 - 2926*T1^5*T2^2 + 2541*T1^6*T2^2 - 1402*T1^7*T2^2 - 
     10*T1^8*T2^2 + 315*T1^9*T2^2 - 80*T1^10*T2^2 + 198*T2^3 - 686*T1*T2^3 - 
     362*T1^2*T2^3 + 3607*T1^3*T2^3 - 4879*T1^4*T2^3 + 4259*T1^5*T2^3 - 
     574*T1^6*T2^3 - 2013*T1^7*T2^3 + 3193*T1^8*T2^3 - 1222*T1^9*T2^3 - 
     133*T1^10*T2^3 + 99*T1^11*T2^3 - 234*T2^4 + 483*T1*T2^4 + 
     1781*T1^2*T2^4 - 4879*T1^3*T2^4 + 1892*T1^4*T2^4 + 2293*T1^5*T2^4 - 
     7786*T1^6*T2^4 + 7015*T1^7*T2^4 - 4192*T1^8*T2^4 - 1249*T1^9*T2^4 + 
     1667*T1^10*T2^4 - 147*T1^11*T2^4 - 78*T1^12*T2^4 + 198*T2^5 - 
     21*T1*T2^5 - 2926*T1^2*T2^5 + 4259*T1^3*T2^5 + 2293*T1^4*T2^5 - 
     5502*T1^5*T2^5 + 7492*T1^6*T2^5 - 1076*T1^7*T2^5 - 2586*T1^8*T2^5 + 
     5884*T1^9*T2^5 - 1396*T1^10*T2^5 - 1153*T1^11*T2^5 + 315*T1^12*T2^5 + 
     33*T1^13*T2^5 - 120*T2^6 - 315*T1*T2^6 + 2541*T1^2*T2^6 - 
     574*T1^3*T2^6 - 7786*T1^4*T2^6 + 7492*T1^5*T2^6 - 5510*T1^6*T2^6 - 
     2586*T1^7*T2^6 + 2386*T1^8*T2^6 - 1916*T1^9*T2^6 - 3958*T1^10*T2^6 + 
     3026*T1^11*T2^6 + 33*T1^12*T2^6 - 231*T1^13*T2^6 + 42*T2^7 + 
     406*T1*T2^7 - 1402*T1^2*T2^7 - 2013*T1^3*T2^7 + 7015*T1^4*T2^7 - 
     1076*T1^5*T2^7 - 2586*T1^6*T2^7 + 6278*T1^7*T2^7 + 46*T1^8*T2^7 - 
     2635*T1^9*T2^7 + 5812*T1^10*T2^7 - 1100*T1^11*T2^7 - 1823*T1^12*T2^7 + 
     538*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     10*T1^2*T2^8 + 3193*T1^3*T2^8 - 4192*T1^4*T2^8 - 2586*T1^5*T2^8 + 
     2386*T1^6*T2^8 + 46*T1^7*T2^8 - 6732*T1^8*T2^8 + 5358*T1^9*T2^8 - 
     2984*T1^10*T2^8 - 2802*T1^11*T2^8 + 3172*T1^12*T2^8 - 213*T1^13*T2^8 - 
     308*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     315*T1^2*T2^9 - 1222*T1^3*T2^9 - 1249*T1^4*T2^9 + 5884*T1^5*T2^9 - 
     1916*T1^6*T2^9 - 2635*T1^7*T2^9 + 5358*T1^8*T2^9 - 874*T1^9*T2^9 - 
     2684*T1^10*T2^9 + 4972*T1^11*T2^9 - 2231*T1^12*T2^9 - 1059*T1^13*T2^9 + 
     718*T1^14*T2^9 - 42*T1^15*T2^9 - 14*T1^16*T2^9 - 80*T1^2*T2^10 - 
     133*T1^3*T2^10 + 1667*T1^4*T2^10 - 1396*T1^5*T2^10 - 3958*T1^6*T2^10 + 
     5812*T1^7*T2^10 - 2984*T1^8*T2^10 - 2684*T1^9*T2^10 + 4912*T1^10*T2^10 - 
     3596*T1^11*T2^10 - 130*T1^12*T2^10 + 2204*T1^13*T2^10 - 
     841*T1^14*T2^10 - 49*T1^15*T2^10 + 40*T1^16*T2^10 + 99*T1^3*T2^11 - 
     147*T1^4*T2^11 - 1153*T1^5*T2^11 + 3026*T1^6*T2^11 - 1100*T1^7*T2^11 - 
     2802*T1^8*T2^11 + 4972*T1^9*T2^11 - 3596*T1^10*T2^11 + 114*T1^11*T2^11 + 
     2491*T1^12*T2^11 - 2629*T1^13*T2^11 + 620*T1^14*T2^11 + 
     189*T1^15*T2^11 - 66*T1^16*T2^11 - 78*T1^4*T2^12 + 315*T1^5*T2^12 + 
     33*T1^6*T2^12 - 1823*T1^7*T2^12 + 3172*T1^8*T2^12 - 2231*T1^9*T2^12 - 
     130*T1^10*T2^12 + 2491*T1^11*T2^12 - 2912*T1^12*T2^12 + 
     1807*T1^13*T2^12 - 81*T1^14*T2^12 - 315*T1^15*T2^12 + 78*T1^16*T2^12 + 
     33*T1^5*T2^13 - 231*T1^6*T2^13 + 538*T1^7*T2^13 - 213*T1^8*T2^13 - 
     1059*T1^9*T2^13 + 2204*T1^10*T2^13 - 2629*T1^11*T2^13 + 
     1807*T1^12*T2^13 - 627*T1^13*T2^13 - 322*T1^14*T2^13 + 322*T1^15*T2^13 - 
     66*T1^16*T2^13 + 49*T1^7*T2^14 - 308*T1^8*T2^14 + 718*T1^9*T2^14 - 
     841*T1^10*T2^14 + 620*T1^11*T2^14 - 81*T1^12*T2^14 - 322*T1^13*T2^14 + 
     452*T1^14*T2^14 - 231*T1^15*T2^14 + 40*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 42*T1^9*T2^15 - 49*T1^10*T2^15 + 189*T1^11*T2^15 - 
     315*T1^12*T2^15 + 322*T1^13*T2^15 - 231*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 40*T1^10*T2^16 - 
     66*T1^11*T2^16 + 78*T1^12*T2^16 - 66*T1^13*T2^16 + 40*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 300] -> 
  {((1 - 3*T + T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-33 + 231*T1 - 611*T1^2 + 809*T1^3 - 611*T1^4 + 231*T1^5 - 33*T1^6 + 
     231*T2 - 1442*T1*T2 + 3052*T1^2*T2 - 2422*T1^3*T2 - 14*T1^4*T2 + 
     1624*T1^5*T2 - 994*T1^6*T2 + 175*T1^7*T2 - 611*T2^2 + 3052*T1*T2^2 - 
     3101*T1^2*T2^2 - 5323*T1^3*T2^2 + 12641*T1^4*T2^2 - 10503*T1^5*T2^2 + 
     2079*T1^6*T2^2 + 980*T1^7*T2^2 - 315*T1^8*T2^2 + 809*T2^3 - 
     2422*T1*T2^3 - 5323*T1^2*T2^3 + 24498*T1^3*T2^3 - 24958*T1^4*T2^3 + 
     4596*T1^5*T2^3 + 13074*T1^6*T2^3 - 7913*T1^7*T2^3 + 658*T1^8*T2^3 + 
     221*T1^9*T2^3 - 611*T2^4 - 14*T1*T2^4 + 12641*T1^2*T2^4 - 
     24958*T1^3*T2^4 - 2504*T1^4*T2^4 + 38154*T1^5*T2^4 - 40164*T1^6*T2^4 + 
     8558*T1^7*T2^4 + 4385*T1^8*T2^4 - 1414*T1^9*T2^4 - 19*T1^10*T2^4 + 
     231*T2^5 + 1624*T1*T2^5 - 10503*T1^2*T2^5 + 4596*T1^3*T2^5 + 
     38154*T1^4*T2^5 - 55757*T1^5*T2^5 + 23147*T1^6*T2^5 + 19765*T1^7*T2^5 - 
     17034*T1^8*T2^5 + 2447*T1^9*T2^5 + 476*T1^10*T2^5 - 49*T1^11*T2^5 - 
     33*T2^6 - 994*T1*T2^6 + 2079*T1^2*T2^6 + 13074*T1^3*T2^6 - 
     40164*T1^4*T2^6 + 23147*T1^5*T2^6 + 24588*T1^6*T2^6 - 45579*T1^7*T2^6 + 
     18138*T1^8*T2^6 + 2574*T1^9*T2^6 - 2533*T1^10*T2^6 + 238*T1^11*T2^6 + 
     15*T1^12*T2^6 + 175*T1*T2^7 + 980*T1^2*T2^7 - 7913*T1^3*T2^7 + 
     8558*T1^4*T2^7 + 19765*T1^5*T2^7 - 45579*T1^6*T2^7 + 33325*T1^7*T2^7 + 
     1376*T1^8*T2^7 - 13072*T1^9*T2^7 + 5037*T1^10*T2^7 - 168*T1^11*T2^7 - 
     105*T1^12*T2^7 - 315*T1^2*T2^8 + 658*T1^3*T2^8 + 4385*T1^4*T2^8 - 
     17034*T1^5*T2^8 + 18138*T1^6*T2^8 + 1376*T1^7*T2^8 - 19522*T1^8*T2^8 + 
     16482*T1^9*T2^8 - 3871*T1^10*T2^8 - 742*T1^11*T2^8 + 277*T1^12*T2^8 + 
     221*T1^3*T2^9 - 1414*T1^4*T2^9 + 2447*T1^5*T2^9 + 2574*T1^6*T2^9 - 
     13072*T1^7*T2^9 + 16482*T1^8*T2^9 - 8850*T1^9*T2^9 - 143*T1^10*T2^9 + 
     1666*T1^11*T2^9 - 367*T1^12*T2^9 - 19*T1^4*T2^10 + 476*T1^5*T2^10 - 
     2533*T1^6*T2^10 + 5037*T1^7*T2^10 - 3871*T1^8*T2^10 - 143*T1^9*T2^10 + 
     2647*T1^10*T2^10 - 1596*T1^11*T2^10 + 277*T1^12*T2^10 - 49*T1^5*T2^11 + 
     238*T1^6*T2^11 - 168*T1^7*T2^11 - 742*T1^8*T2^11 + 1666*T1^9*T2^11 - 
     1596*T1^10*T2^11 + 686*T1^11*T2^11 - 105*T1^12*T2^11 + 15*T1^6*T2^12 - 
     105*T1^7*T2^12 + 277*T1^8*T2^12 - 367*T1^9*T2^12 + 277*T1^10*T2^12 - 
     105*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 301] -> 
  {-((3 - 20*T + 52*T^2 - 71*T^3 + 52*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((-78 + 521*T1 - 1355*T1^2 + 1848*T1^3 - 1355*T1^4 + 521*T1^5 - 78*T1^6 + 
      521*T2 - 3138*T1*T2 + 6768*T1^2*T2 - 6413*T1^3*T2 + 967*T1^4*T2 + 
      2448*T1^5*T2 - 1758*T1^6*T2 + 341*T1^7*T2 - 1355*T2^2 + 6768*T1*T2^2 - 
      8680*T1^2*T2^2 - 4830*T1^3*T2^2 + 23342*T1^4*T2^2 - 20742*T1^5*T2^2 + 
      6608*T1^6*T2^2 + 528*T1^7*T2^2 - 419*T1^8*T2^2 + 1848*T2^3 - 
      6413*T1*T2^3 - 4830*T1^2*T2^3 + 40669*T1^3*T2^3 - 59160*T1^4*T2^3 + 
      22752*T1^5*T2^3 + 13075*T1^6*T2^3 - 14138*T1^7*T2^3 + 3247*T1^8*T2^3 - 
      69*T1^9*T2^3 - 1355*T2^4 + 967*T1*T2^4 + 23342*T1^2*T2^4 - 
      59160*T1^3*T2^4 + 37748*T1^4*T2^4 + 46772*T1^5*T2^4 - 76516*T1^6*T2^4 + 
      35696*T1^7*T2^4 - 1010*T1^8*T2^4 - 2993*T1^9*T2^4 + 517*T1^10*T2^4 + 
      521*T2^5 + 2448*T1*T2^5 - 20742*T1^2*T2^5 + 22752*T1^3*T2^5 + 
      46772*T1^4*T2^5 - 133182*T1^5*T2^5 + 103194*T1^6*T2^5 - 
      3772*T1^7*T2^5 - 33272*T1^8*T2^5 + 14982*T1^9*T2^5 - 912*T1^10*T2^5 - 
      379*T1^11*T2^5 - 78*T2^6 - 1758*T1*T2^6 + 6608*T1^2*T2^6 + 
      13075*T1^3*T2^6 - 76516*T1^4*T2^6 + 103194*T1^5*T2^6 - 
      10728*T1^6*T2^6 - 95294*T1^7*T2^6 + 77684*T1^8*T2^6 - 15719*T1^9*T2^6 - 
      6360*T1^10*T2^6 + 1962*T1^11*T2^6 + 84*T1^12*T2^6 + 341*T1*T2^7 + 
      528*T1^2*T2^7 - 14138*T1^3*T2^7 + 35696*T1^4*T2^7 - 3772*T1^5*T2^7 - 
      95294*T1^6*T2^7 + 141082*T1^7*T2^7 - 54316*T1^8*T2^7 - 
      20328*T1^9*T2^7 + 21586*T1^10*T2^7 - 2832*T1^11*T2^7 - 559*T1^12*T2^7 - 
      419*T1^2*T2^8 + 3247*T1^3*T2^8 - 1010*T1^4*T2^8 - 33272*T1^5*T2^8 + 
      77684*T1^6*T2^8 - 54316*T1^7*T2^8 - 36580*T1^8*T2^8 + 61584*T1^9*T2^8 - 
      25362*T1^10*T2^8 - 713*T1^11*T2^8 + 1453*T1^12*T2^8 - 69*T1^3*T2^9 - 
      2993*T1^4*T2^9 + 14982*T1^5*T2^9 - 15719*T1^6*T2^9 - 20328*T1^7*T2^9 + 
      61584*T1^8*T2^9 - 43313*T1^9*T2^9 + 5674*T1^10*T2^9 + 6667*T1^11*T2^9 - 
      1986*T1^12*T2^9 + 517*T1^4*T2^10 - 912*T1^5*T2^10 - 6360*T1^6*T2^10 + 
      21586*T1^7*T2^10 - 25362*T1^8*T2^10 + 5674*T1^9*T2^10 + 
      8928*T1^10*T2^10 - 7152*T1^11*T2^10 + 1453*T1^12*T2^10 - 
      379*T1^5*T2^11 + 1962*T1^6*T2^11 - 2832*T1^7*T2^11 - 713*T1^8*T2^11 + 
      6667*T1^9*T2^11 - 7152*T1^10*T2^11 + 3342*T1^11*T2^11 - 
      559*T1^12*T2^11 + 84*T1^6*T2^12 - 559*T1^7*T2^12 + 1453*T1^8*T2^12 - 
      1986*T1^9*T2^12 + 1453*T1^10*T2^12 - 559*T1^11*T2^12 + 84*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 302] -> 
  {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   (-112 + 456*T1 - 948*T1^2 + 1184*T1^3 - 948*T1^4 + 456*T1^5 - 112*T1^6 + 
     456*T2 - 1648*T1*T2 + 3008*T1^2*T2 - 3060*T1^3*T2 + 1676*T1^4*T2 - 
     128*T1^5*T2 - 368*T1^6*T2 + 200*T1^7*T2 - 948*T2^2 + 3008*T1*T2^2 - 
     4436*T1^2*T2^2 + 2464*T1^3*T2^2 + 1624*T1^4*T2^2 - 4136*T1^5*T2^2 + 
     3220*T1^6*T2^2 - 1216*T1^7*T2^2 + 108*T1^8*T2^2 + 1184*T2^3 - 
     3060*T1*T2^3 + 2464*T1^2*T2^3 + 2840*T1^3*T2^3 - 8008*T1^4*T2^3 + 
     6956*T1^5*T2^3 - 892*T1^6*T2^3 - 3212*T1^7*T2^3 + 2700*T1^8*T2^3 - 
     784*T1^9*T2^3 - 948*T2^4 + 1676*T1*T2^4 + 1624*T1^2*T2^4 - 
     8008*T1^3*T2^4 + 9568*T1^4*T2^4 - 1200*T1^5*T2^4 - 7920*T1^6*T2^4 + 
     8392*T1^7*T2^4 - 1944*T1^8*T2^4 - 1524*T1^9*T2^4 + 1164*T1^10*T2^4 + 
     456*T2^5 - 128*T1*T2^5 - 4136*T1^2*T2^5 + 6956*T1^3*T2^5 - 
     1200*T1^4*T2^5 - 12573*T1^5*T2^5 + 16333*T1^6*T2^5 - 6777*T1^7*T2^5 - 
     5136*T1^8*T2^5 + 5236*T1^9*T2^5 - 1344*T1^10*T2^5 - 824*T1^11*T2^5 - 
     112*T2^6 - 368*T1*T2^6 + 3220*T1^2*T2^6 - 892*T1^3*T2^6 - 
     7920*T1^4*T2^6 + 16333*T1^5*T2^6 - 6312*T1^6*T2^6 - 9957*T1^7*T2^6 + 
     16426*T1^8*T2^6 - 5884*T1^9*T2^6 - 1284*T1^10*T2^6 + 2192*T1^11*T2^6 + 
     272*T1^12*T2^6 + 200*T1*T2^7 - 1216*T1^2*T2^7 - 3212*T1^3*T2^7 + 
     8392*T1^4*T2^7 - 6777*T1^5*T2^7 - 9957*T1^6*T2^7 + 18949*T1^7*T2^7 - 
     12354*T1^8*T2^7 - 3700*T1^9*T2^7 + 6160*T1^10*T2^7 - 2432*T1^11*T2^7 - 
     1080*T1^12*T2^7 + 108*T1^2*T2^8 + 2700*T1^3*T2^8 - 1944*T1^4*T2^8 - 
     5136*T1^5*T2^8 + 16426*T1^6*T2^8 - 12354*T1^7*T2^8 - 1062*T1^8*T2^8 + 
     11264*T1^9*T2^8 - 5512*T1^10*T2^8 - 500*T1^11*T2^8 + 2220*T1^12*T2^8 - 
     784*T1^3*T2^9 - 1524*T1^4*T2^9 + 5236*T1^5*T2^9 - 5884*T1^6*T2^9 - 
     3700*T1^7*T2^9 + 11264*T1^8*T2^9 - 9616*T1^9*T2^9 - 440*T1^10*T2^9 + 
     4236*T1^11*T2^9 - 2752*T1^12*T2^9 + 1164*T1^4*T2^10 - 1344*T1^5*T2^10 - 
     1284*T1^6*T2^10 + 6160*T1^7*T2^10 - 5512*T1^8*T2^10 - 440*T1^9*T2^10 + 
     6372*T1^10*T2^10 - 5568*T1^11*T2^10 + 2220*T1^12*T2^10 - 
     824*T1^5*T2^11 + 2192*T1^6*T2^11 - 2432*T1^7*T2^11 - 500*T1^8*T2^11 + 
     4236*T1^9*T2^11 - 5568*T1^10*T2^11 + 3472*T1^11*T2^11 - 
     1080*T1^12*T2^11 + 272*T1^6*T2^12 - 1080*T1^7*T2^12 + 2220*T1^8*T2^12 - 
     2752*T1^9*T2^12 + 2220*T1^10*T2^12 - 1080*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 303] -> 
  {-((2 - 14*T + 36*T^2 - 49*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 161*T1 - 413*T1^2 + 561*T1^3 - 413*T1^4 + 161*T1^5 - 23*T1^6 + 
      161*T2 - 1022*T1*T2 + 2156*T1^2*T2 - 2044*T1^3*T2 + 336*T1^4*T2 + 
      756*T1^5*T2 - 574*T1^6*T2 + 105*T1^7*T2 - 413*T2^2 + 2156*T1*T2^2 - 
      2341*T1^2*T2^2 - 2433*T1^3*T2^2 + 8531*T1^4*T2^2 - 7473*T1^5*T2^2 + 
      2555*T1^6*T2^2 + 140*T1^7*T2^2 - 125*T1^8*T2^2 + 561*T2^3 - 
      2044*T1*T2^3 - 2433*T1^2*T2^3 + 14490*T1^3*T2^3 - 20290*T1^4*T2^3 + 
      7850*T1^5*T2^3 + 4284*T1^6*T2^3 - 4953*T1^7*T2^3 + 1064*T1^8*T2^3 - 
      27*T1^9*T2^3 - 413*T2^4 + 336*T1*T2^4 + 8531*T1^2*T2^4 - 
      20290*T1^3*T2^4 + 12676*T1^4*T2^4 + 15582*T1^5*T2^4 - 25552*T1^6*T2^4 + 
      12246*T1^7*T2^4 - 309*T1^8*T2^4 - 952*T1^9*T2^4 + 163*T1^10*T2^4 + 
      161*T2^5 + 756*T1*T2^5 - 7473*T1^2*T2^5 + 7850*T1^3*T2^5 + 
      15582*T1^4*T2^5 - 43498*T1^5*T2^5 + 33082*T1^6*T2^5 - 546*T1^7*T2^5 - 
      11498*T1^8*T2^5 + 5127*T1^9*T2^5 - 308*T1^10*T2^5 - 119*T1^11*T2^5 - 
      23*T2^6 - 574*T1*T2^6 + 2555*T1^2*T2^6 + 4284*T1^3*T2^6 - 
      25552*T1^4*T2^6 + 33082*T1^5*T2^6 - 2544*T1^6*T2^6 - 31318*T1^7*T2^6 + 
      25024*T1^8*T2^6 - 4956*T1^9*T2^6 - 2373*T1^10*T2^6 + 658*T1^11*T2^6 + 
      25*T1^12*T2^6 + 105*T1*T2^7 + 140*T1^2*T2^7 - 4953*T1^3*T2^7 + 
      12246*T1^4*T2^7 - 546*T1^5*T2^7 - 31318*T1^6*T2^7 + 45262*T1^7*T2^7 - 
      16674*T1^8*T2^7 - 7102*T1^9*T2^7 + 7647*T1^10*T2^7 - 924*T1^11*T2^7 - 
      175*T1^12*T2^7 - 125*T1^2*T2^8 + 1064*T1^3*T2^8 - 309*T1^4*T2^8 - 
      11498*T1^5*T2^8 + 25024*T1^6*T2^8 - 16674*T1^7*T2^8 - 13204*T1^8*T2^8 + 
      21038*T1^9*T2^8 - 9149*T1^10*T2^8 - 224*T1^11*T2^8 + 451*T1^12*T2^8 - 
      27*T1^3*T2^9 - 952*T1^4*T2^9 + 5127*T1^5*T2^9 - 4956*T1^6*T2^9 - 
      7102*T1^7*T2^9 + 21038*T1^8*T2^9 - 15162*T1^9*T2^9 + 2607*T1^10*T2^9 + 
      2156*T1^11*T2^9 - 615*T1^12*T2^9 + 163*T1^4*T2^10 - 308*T1^5*T2^10 - 
      2373*T1^6*T2^10 + 7647*T1^7*T2^10 - 9149*T1^8*T2^10 + 2607*T1^9*T2^10 + 
      2523*T1^10*T2^10 - 2324*T1^11*T2^10 + 451*T1^12*T2^10 - 
      119*T1^5*T2^11 + 658*T1^6*T2^11 - 924*T1^7*T2^11 - 224*T1^8*T2^11 + 
      2156*T1^9*T2^11 - 2324*T1^10*T2^11 + 1106*T1^11*T2^11 - 
      175*T1^12*T2^11 + 25*T1^6*T2^12 - 175*T1^7*T2^12 + 451*T1^8*T2^12 - 
      615*T1^9*T2^12 + 451*T1^10*T2^12 - 175*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 304] -> 
  {(1 - 7*T + 18*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 18*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 54*T1^3 - 62*T1^4 + 54*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 252*T1^3*T2 + 245*T1^4*T2 - 
     161*T1^5*T2 + 63*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 300*T1^2*T2^2 + 76*T1^3*T2^2 + 223*T1^4*T2^2 - 
     566*T1^5*T2^2 + 691*T1^6*T2^2 - 644*T1^7*T2^2 + 312*T1^8*T2^2 - 
     49*T1^9*T2^2 + 54*T2^3 - 252*T1*T2^3 + 76*T1^2*T2^3 + 787*T1^3*T2^3 - 
     1497*T1^4*T2^3 + 1957*T1^5*T2^3 - 1706*T1^6*T2^3 + 1095*T1^7*T2^3 - 
     95*T1^8*T2^3 - 374*T1^9*T2^3 + 189*T1^10*T2^3 - 27*T1^11*T2^3 - 
     62*T2^4 + 245*T1*T2^4 + 223*T1^2*T2^4 - 1497*T1^3*T2^4 + 
     1937*T1^4*T2^4 - 1655*T1^5*T2^4 + 465*T1^6*T2^4 + 779*T1^7*T2^4 - 
     1903*T1^8*T2^4 + 1581*T1^9*T2^4 - 191*T1^10*T2^4 - 245*T1^11*T2^4 + 
     62*T1^12*T2^4 + 54*T2^5 - 161*T1*T2^5 - 566*T1^2*T2^5 + 1957*T1^3*T2^5 - 
     1655*T1^4*T2^5 + 578*T1^5*T2^5 + 731*T1^6*T2^5 - 1537*T1^7*T2^5 + 
     1490*T1^8*T2^5 + 238*T1^9*T2^5 - 2228*T1^10*T2^5 + 1075*T1^11*T2^5 + 
     133*T1^12*T2^5 - 81*T1^13*T2^5 - 36*T2^6 + 63*T1*T2^6 + 691*T1^2*T2^6 - 
     1706*T1^3*T2^6 + 465*T1^4*T2^6 + 731*T1^5*T2^6 - 965*T1^6*T2^6 + 
     919*T1^7*T2^6 + 259*T1^8*T2^6 - 1825*T1^9*T2^6 + 2373*T1^10*T2^6 + 
     1174*T1^11*T2^6 - 1541*T1^12*T2^6 + 63*T1^13*T2^6 + 72*T1^14*T2^6 + 
     14*T2^7 + 28*T1*T2^7 - 644*T1^2*T2^7 + 1095*T1^3*T2^7 + 779*T1^4*T2^7 - 
     1537*T1^5*T2^7 + 919*T1^6*T2^7 - 1426*T1^7*T2^7 + 280*T1^8*T2^7 - 
     62*T1^9*T2^7 + 155*T1^10*T2^7 - 3278*T1^11*T2^7 + 447*T1^12*T2^7 + 
     1426*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     312*T1^2*T2^8 - 95*T1^3*T2^8 - 1903*T1^4*T2^8 + 1490*T1^5*T2^8 + 
     259*T1^6*T2^8 + 280*T1^7*T2^8 + 2016*T1^8*T2^8 - 1744*T1^9*T2^8 + 
     2185*T1^10*T2^8 + 182*T1^11*T2^8 + 3529*T1^12*T2^8 - 2633*T1^13*T2^8 - 
     306*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 374*T1^3*T2^9 + 1581*T1^4*T2^9 + 238*T1^5*T2^9 - 
     1825*T1^6*T2^9 - 62*T1^7*T2^9 - 1744*T1^8*T2^9 - 38*T1^9*T2^9 - 
     1043*T1^10*T2^9 - 133*T1^11*T2^9 - 3819*T1^12*T2^9 + 933*T1^13*T2^9 + 
     1696*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 189*T1^3*T2^10 - 
     191*T1^4*T2^10 - 2228*T1^5*T2^10 + 2373*T1^6*T2^10 + 155*T1^7*T2^10 + 
     2185*T1^8*T2^10 - 1043*T1^9*T2^10 + 3409*T1^10*T2^10 - 
     2401*T1^11*T2^10 + 4281*T1^12*T2^10 + 652*T1^13*T2^10 - 
     2423*T1^14*T2^10 + 189*T1^15*T2^10 + 108*T1^16*T2^10 - 27*T1^3*T2^11 - 
     245*T1^4*T2^11 + 1075*T1^5*T2^11 + 1174*T1^6*T2^11 - 3278*T1^7*T2^11 + 
     182*T1^8*T2^11 - 133*T1^9*T2^11 - 2401*T1^10*T2^11 + 1094*T1^11*T2^11 - 
     1385*T1^12*T2^11 - 3011*T1^13*T2^11 + 2716*T1^14*T2^11 + 
     49*T1^15*T2^11 - 162*T1^16*T2^11 + 62*T1^4*T2^12 + 133*T1^5*T2^12 - 
     1541*T1^6*T2^12 + 447*T1^7*T2^12 + 3529*T1^8*T2^12 - 3819*T1^9*T2^12 + 
     4281*T1^10*T2^12 - 1385*T1^11*T2^12 - 311*T1^12*T2^12 + 
     3525*T1^13*T2^12 - 1955*T1^14*T2^12 - 357*T1^15*T2^12 + 
     186*T1^16*T2^12 - 81*T1^5*T2^13 + 63*T1^6*T2^13 + 1426*T1^7*T2^13 - 
     2633*T1^8*T2^13 + 933*T1^9*T2^13 + 652*T1^10*T2^13 - 3011*T1^11*T2^13 + 
     3525*T1^12*T2^13 - 3515*T1^13*T2^13 + 976*T1^14*T2^13 + 
     504*T1^15*T2^13 - 162*T1^16*T2^13 + 72*T1^6*T2^14 - 259*T1^7*T2^14 - 
     306*T1^8*T2^14 + 1696*T1^9*T2^14 - 2423*T1^10*T2^14 + 2716*T1^11*T2^14 - 
     1955*T1^12*T2^14 + 976*T1^13*T2^14 + 306*T1^14*T2^14 - 511*T1^15*T2^14 + 
     108*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 336*T1^9*T2^15 + 
     189*T1^10*T2^15 + 49*T1^11*T2^15 - 357*T1^12*T2^15 + 504*T1^13*T2^15 - 
     511*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 6*T1^8*T2^16 - 
     42*T1^9*T2^16 + 108*T1^10*T2^16 - 162*T1^11*T2^16 + 186*T1^12*T2^16 - 
     162*T1^13*T2^16 + 108*T1^14*T2^16 - 42*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 305] -> 
  {-((1 - 7*T + 20*T^2 - 35*T^3 + 41*T^4 - 35*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 100*T1^2 + 175*T1^3 - 205*T1^4 + 175*T1^5 - 
      100*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 504*T1^2*T2 - 
      665*T1^3*T2 + 455*T1^4*T2 - 77*T1^5*T2 - 280*T1^6*T2 + 315*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 100*T2^2 + 504*T1*T2^2 - 681*T1^2*T2^2 - 
      32*T1^3*T2^2 + 1630*T1^4*T2^2 - 2525*T1^5*T2^2 + 2470*T1^6*T2^2 - 
      1152*T1^7*T2^2 + 79*T1^8*T2^2 + 224*T1^9*T2^2 - 60*T1^10*T2^2 + 
      175*T2^3 - 665*T1*T2^3 - 32*T1^2*T2^3 + 2329*T1^3*T2^3 - 
      4710*T1^4*T2^3 + 3640*T1^5*T2^3 - 1225*T1^6*T2^3 - 2050*T1^7*T2^3 + 
      2329*T1^8*T2^3 - 1012*T1^9*T2^3 - 70*T1^10*T2^3 + 70*T1^11*T2^3 - 
      205*T2^4 + 455*T1*T2^4 + 1630*T1^2*T2^4 - 4710*T1^3*T2^4 + 
      5340*T1^4*T2^4 - 53*T1^5*T2^4 - 3540*T1^6*T2^4 + 5645*T1^7*T2^4 - 
      1820*T1^8*T2^4 - 1140*T1^9*T2^4 + 1480*T1^10*T2^4 - 203*T1^11*T2^4 - 
      41*T1^12*T2^4 + 175*T2^5 - 77*T1*T2^5 - 2525*T1^2*T2^5 + 
      3640*T1^3*T2^5 - 53*T1^4*T2^5 - 7710*T1^5*T2^5 + 7005*T1^6*T2^5 - 
      3565*T1^7*T2^5 - 4238*T1^8*T2^5 + 4868*T1^9*T2^5 - 1855*T1^10*T2^5 - 
      698*T1^11*T2^5 + 287*T1^12*T2^5 - 100*T2^6 - 280*T1*T2^6 + 
      2470*T1^2*T2^6 - 1225*T1^3*T2^6 - 3540*T1^4*T2^6 + 7005*T1^5*T2^6 + 
      1530*T1^6*T2^6 - 7370*T1^7*T2^6 + 10810*T1^8*T2^6 - 3915*T1^9*T2^6 - 
      1760*T1^10*T2^6 + 2695*T1^11*T2^6 - 350*T1^12*T2^6 - 140*T1^13*T2^6 + 
      20*T1^14*T2^6 + 35*T2^7 + 315*T1*T2^7 - 1152*T1^2*T2^7 - 
      2050*T1^3*T2^7 + 5645*T1^4*T2^7 - 3565*T1^5*T2^7 - 7370*T1^6*T2^7 + 
      8260*T1^7*T2^7 - 3808*T1^8*T2^7 - 5025*T1^9*T2^7 + 6305*T1^10*T2^7 - 
      2384*T1^11*T2^7 - 1070*T1^12*T2^7 + 668*T1^13*T2^7 - 42*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 + 79*T1^2*T2^8 + 2329*T1^3*T2^8 - 
      1820*T1^4*T2^8 - 4238*T1^5*T2^8 + 10810*T1^6*T2^8 - 3808*T1^7*T2^8 - 
      4692*T1^8*T2^8 + 8372*T1^9*T2^8 - 3920*T1^10*T2^8 - 1914*T1^11*T2^8 + 
      3068*T1^12*T2^8 - 821*T1^13*T2^8 - 219*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 224*T1^2*T2^9 - 1012*T1^3*T2^9 - 
      1140*T1^4*T2^9 + 4868*T1^5*T2^9 - 3915*T1^6*T2^9 - 5025*T1^7*T2^9 + 
      8372*T1^8*T2^9 - 3696*T1^9*T2^9 - 2680*T1^10*T2^9 + 5955*T1^11*T2^9 - 
      3161*T1^12*T2^9 - 160*T1^13*T2^9 + 808*T1^14*T2^9 - 133*T1^15*T2^9 - 
      21*T1^16*T2^9 - 60*T1^2*T2^10 - 70*T1^3*T2^10 + 1480*T1^4*T2^10 - 
      1855*T1^5*T2^10 - 1760*T1^6*T2^10 + 6305*T1^7*T2^10 - 3920*T1^8*T2^10 - 
      2680*T1^9*T2^10 + 5360*T1^10*T2^10 - 4615*T1^11*T2^10 + 
      20*T1^12*T2^10 + 2065*T1^13*T2^10 - 1340*T1^14*T2^10 + 70*T1^15*T2^10 + 
      60*T1^16*T2^10 + 70*T1^3*T2^11 - 203*T1^4*T2^11 - 698*T1^5*T2^11 + 
      2695*T1^6*T2^11 - 2384*T1^7*T2^11 - 1914*T1^8*T2^11 + 5955*T1^9*T2^11 - 
      4615*T1^10*T2^11 + 1558*T1^11*T2^11 + 2537*T1^12*T2^11 - 
      2800*T1^13*T2^11 + 1129*T1^14*T2^11 + 161*T1^15*T2^11 - 
      105*T1^16*T2^11 - 41*T1^4*T2^12 + 287*T1^5*T2^12 - 350*T1^6*T2^12 - 
      1070*T1^7*T2^12 + 3068*T1^8*T2^12 - 3161*T1^9*T2^12 + 20*T1^10*T2^12 + 
      2537*T1^11*T2^12 - 4092*T1^12*T2^12 + 2500*T1^13*T2^12 - 
      500*T1^14*T2^12 - 371*T1^15*T2^12 + 123*T1^16*T2^12 - 140*T1^6*T2^13 + 
      668*T1^7*T2^13 - 821*T1^8*T2^13 - 160*T1^9*T2^13 + 2065*T1^10*T2^13 - 
      2800*T1^11*T2^13 + 2500*T1^12*T2^13 - 821*T1^13*T2^13 - 
      312*T1^14*T2^13 + 455*T1^15*T2^13 - 105*T1^16*T2^13 + 20*T1^6*T2^14 - 
      42*T1^7*T2^14 - 219*T1^8*T2^14 + 808*T1^9*T2^14 - 1340*T1^10*T2^14 + 
      1129*T1^11*T2^14 - 500*T1^12*T2^14 - 312*T1^13*T2^14 + 
      541*T1^14*T2^14 - 322*T1^15*T2^14 + 60*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 133*T1^9*T2^15 + 70*T1^10*T2^15 + 161*T1^11*T2^15 - 
      371*T1^12*T2^15 + 455*T1^13*T2^15 - 322*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 60*T1^10*T2^16 - 
      105*T1^11*T2^16 + 123*T1^12*T2^16 - 105*T1^13*T2^16 + 60*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 306] -> 
  {((2 - 4*T + T^2)*(1 - T + T^2)*(1 - 4*T + 2*T^2))/T^3, 
   (-15 + 105*T1 - 263*T1^2 + 339*T1^3 - 263*T1^4 + 105*T1^5 - 15*T1^6 + 
     105*T2 - 686*T1*T2 + 1498*T1^2*T2 - 1512*T1^3*T2 + 728*T1^4*T2 + 
     126*T1^5*T2 - 238*T1^6*T2 + 49*T1^7*T2 - 263*T2^2 + 1498*T1*T2^2 - 
     2151*T1^2*T2^2 - 341*T1^3*T2^2 + 3647*T1^4*T2^2 - 4681*T1^5*T2^2 + 
     2469*T1^6*T2^2 - 462*T1^7*T2^2 + 17*T1^8*T2^2 + 339*T2^3 - 
     1512*T1*T2^3 - 341*T1^2*T2^3 + 8364*T1^3*T2^3 - 14284*T1^4*T2^3 + 
     11686*T1^5*T2^3 - 2956*T1^6*T2^3 - 1951*T1^7*T2^3 + 1288*T1^8*T2^3 - 
     201*T1^9*T2^3 - 263*T2^4 + 728*T1*T2^4 + 3647*T1^2*T2^4 - 
     14284*T1^3*T2^4 + 15821*T1^4*T2^4 - 1687*T1^5*T2^4 - 13999*T1^6*T2^4 + 
     14696*T1^7*T2^4 - 4193*T1^8*T2^4 - 672*T1^9*T2^4 + 297*T1^10*T2^4 + 
     105*T2^5 + 126*T1*T2^5 - 4681*T1^2*T2^5 + 11686*T1^3*T2^5 - 
     1687*T1^4*T2^5 - 23781*T1^5*T2^5 + 32429*T1^6*T2^5 - 14672*T1^7*T2^5 - 
     8264*T1^8*T2^5 + 7849*T1^9*T2^5 - 854*T1^10*T2^5 - 175*T1^11*T2^5 - 
     15*T2^6 - 238*T1*T2^6 + 2469*T1^2*T2^6 - 2956*T1^3*T2^6 - 
     13999*T1^4*T2^6 + 32429*T1^5*T2^6 - 14952*T1^6*T2^6 - 17985*T1^7*T2^6 + 
     32411*T1^8*T2^6 - 10896*T1^9*T2^6 - 2767*T1^10*T2^6 + 994*T1^11*T2^6 + 
     33*T1^12*T2^6 + 49*T1*T2^7 - 462*T1^2*T2^7 - 1951*T1^3*T2^7 + 
     14696*T1^4*T2^7 - 14672*T1^5*T2^7 - 17985*T1^6*T2^7 + 38225*T1^7*T2^7 - 
     27657*T1^8*T2^7 - 5254*T1^9*T2^7 + 10579*T1^10*T2^7 - 1442*T1^11*T2^7 - 
     231*T1^12*T2^7 + 17*T1^2*T2^8 + 1288*T1^3*T2^8 - 4193*T1^4*T2^8 - 
     8264*T1^5*T2^8 + 32411*T1^6*T2^8 - 27657*T1^7*T2^8 + 2591*T1^8*T2^8 + 
     20716*T1^9*T2^8 - 12033*T1^10*T2^8 - 112*T1^11*T2^8 + 577*T1^12*T2^8 - 
     201*T1^3*T2^9 - 672*T1^4*T2^9 + 7849*T1^5*T2^9 - 10896*T1^6*T2^9 - 
     5254*T1^7*T2^9 + 20716*T1^8*T2^9 - 22216*T1^9*T2^9 + 6239*T1^10*T2^9 + 
     2128*T1^11*T2^9 - 741*T1^12*T2^9 + 297*T1^4*T2^10 - 854*T1^5*T2^10 - 
     2767*T1^6*T2^10 + 10579*T1^7*T2^10 - 12033*T1^8*T2^10 + 
     6239*T1^9*T2^10 + 1853*T1^10*T2^10 - 2814*T1^11*T2^10 + 
     577*T1^12*T2^10 - 175*T1^5*T2^11 + 994*T1^6*T2^11 - 1442*T1^7*T2^11 - 
     112*T1^8*T2^11 + 2128*T1^9*T2^11 - 2814*T1^10*T2^11 + 1442*T1^11*T2^11 - 
     231*T1^12*T2^11 + 33*T1^6*T2^12 - 231*T1^7*T2^12 + 577*T1^8*T2^12 - 
     741*T1^9*T2^12 + 577*T1^10*T2^12 - 231*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 307] -> 
  {-((2 - 14*T + 37*T^2 - 51*T^3 + 37*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-25 + 175*T1 - 463*T1^2 + 639*T1^3 - 463*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2408*T1^2*T2 - 2268*T1^3*T2 + 196*T1^4*T2 + 
      980*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 463*T2^2 + 2408*T1*T2^2 - 
      2869*T1^2*T2^2 - 2585*T1^3*T2^2 + 9875*T1^4*T2^2 - 8061*T1^5*T2^2 + 
      2311*T1^6*T2^2 + 336*T1^7*T2^2 - 167*T1^8*T2^2 + 639*T2^3 - 
      2268*T1*T2^3 - 2585*T1^2*T2^3 + 16776*T1^3*T2^3 - 23380*T1^4*T2^3 + 
      6598*T1^5*T2^3 + 6576*T1^6*T2^3 - 5619*T1^7*T2^3 + 980*T1^8*T2^3 + 
      27*T1^9*T2^3 - 463*T2^4 + 196*T1*T2^4 + 9875*T1^2*T2^4 - 
      23380*T1^3*T2^4 + 12791*T1^4*T2^4 + 23263*T1^5*T2^4 - 29685*T1^6*T2^4 + 
      11504*T1^7*T2^4 + 835*T1^8*T2^4 - 1092*T1^9*T2^4 + 129*T1^10*T2^4 + 
      175*T2^5 + 980*T1*T2^5 - 8061*T1^2*T2^5 + 6598*T1^3*T2^5 + 
      23263*T1^4*T2^5 - 55663*T1^5*T2^5 + 33379*T1^6*T2^5 + 4208*T1^7*T2^5 - 
      13568*T1^8*T2^5 + 4741*T1^9*T2^5 - 168*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 2311*T1^2*T2^6 + 6576*T1^3*T2^6 - 
      29685*T1^4*T2^6 + 33379*T1^5*T2^6 + 9696*T1^6*T2^6 - 40823*T1^7*T2^6 + 
      27049*T1^8*T2^6 - 3972*T1^9*T2^6 - 2301*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 336*T1^2*T2^7 - 5619*T1^3*T2^7 + 
      11504*T1^4*T2^7 + 4208*T1^5*T2^7 - 40823*T1^6*T2^7 + 48219*T1^7*T2^7 - 
      14847*T1^8*T2^7 - 8662*T1^9*T2^7 + 7183*T1^10*T2^7 - 812*T1^11*T2^7 - 
      161*T1^12*T2^7 - 167*T1^2*T2^8 + 980*T1^3*T2^8 + 835*T1^4*T2^8 - 
      13568*T1^5*T2^8 + 27049*T1^6*T2^8 - 14847*T1^7*T2^8 - 15427*T1^8*T2^8 + 
      21316*T1^9*T2^8 - 8205*T1^10*T2^8 - 308*T1^11*T2^8 + 425*T1^12*T2^8 + 
      27*T1^3*T2^9 - 1092*T1^4*T2^9 + 4741*T1^5*T2^9 - 3972*T1^6*T2^9 - 
      8662*T1^7*T2^9 + 21316*T1^8*T2^9 - 14172*T1^9*T2^9 + 1707*T1^10*T2^9 + 
      2156*T1^11*T2^9 - 585*T1^12*T2^9 + 129*T1^4*T2^10 - 168*T1^5*T2^10 - 
      2301*T1^6*T2^10 + 7183*T1^7*T2^10 - 8205*T1^8*T2^10 + 1707*T1^9*T2^10 + 
      2879*T1^10*T2^10 - 2240*T1^11*T2^10 + 425*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 812*T1^7*T2^11 - 308*T1^8*T2^11 + 
      2156*T1^9*T2^11 - 2240*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 425*T1^8*T2^12 - 
      585*T1^9*T2^12 + 425*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 308] -> 
  {-((2 - 16*T + 48*T^2 - 69*T^3 + 48*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-23 + 184*T1 - 552*T1^2 + 793*T1^3 - 552*T1^4 + 184*T1^5 - 23*T1^6 + 
      184*T2 - 1352*T1*T2 + 3456*T1^2*T2 - 3464*T1^3*T2 + 280*T1^4*T2 + 
      1408*T1^5*T2 - 776*T1^6*T2 + 120*T1^7*T2 - 552*T2^2 + 3456*T1*T2^2 - 
      5760*T1^2*T2^2 - 2546*T1^3*T2^2 + 15612*T1^4*T2^2 - 12722*T1^5*T2^2 + 
      3072*T1^6*T2^2 + 384*T1^7*T2^2 - 168*T1^8*T2^2 + 793*T2^3 - 
      3464*T1*T2^3 - 2546*T1^2*T2^3 + 30528*T1^3*T2^3 - 47310*T1^4*T2^3 + 
      16050*T1^5*T2^3 + 10770*T1^6*T2^3 - 8594*T1^7*T2^3 + 1624*T1^8*T2^3 - 
      35*T1^9*T2^3 - 552*T2^4 + 280*T1*T2^4 + 15612*T1^2*T2^4 - 
      47310*T1^3*T2^4 + 31588*T1^4*T2^4 + 46100*T1^5*T2^4 - 67772*T1^6*T2^4 + 
      27762*T1^7*T2^4 - 1284*T1^8*T2^4 - 1448*T1^9*T2^4 + 216*T1^10*T2^4 + 
      184*T2^5 + 1408*T1*T2^5 - 12722*T1^2*T2^5 + 16050*T1^3*T2^5 + 
      46100*T1^4*T2^5 - 135236*T1^5*T2^5 + 107692*T1^6*T2^5 - 
      9964*T1^7*T2^5 - 23886*T1^8*T2^5 + 9838*T1^9*T2^5 - 640*T1^10*T2^5 - 
      136*T1^11*T2^5 - 23*T2^6 - 776*T1*T2^6 + 3072*T1^2*T2^6 + 
      10770*T1^3*T2^6 - 67772*T1^4*T2^6 + 107692*T1^5*T2^6 - 
      23784*T1^6*T2^6 - 89812*T1^7*T2^6 + 74692*T1^8*T2^6 - 15462*T1^9*T2^6 - 
      2944*T1^10*T2^6 + 888*T1^11*T2^6 + 25*T1^12*T2^6 + 120*T1*T2^7 + 
      384*T1^2*T2^7 - 8594*T1^3*T2^7 + 27762*T1^4*T2^7 - 9964*T1^5*T2^7 - 
      89812*T1^6*T2^7 + 153116*T1^7*T2^7 - 66028*T1^8*T2^7 - 
      12174*T1^9*T2^7 + 13966*T1^10*T2^7 - 1664*T1^11*T2^7 - 200*T1^12*T2^7 - 
      168*T1^2*T2^8 + 1624*T1^3*T2^8 - 1284*T1^4*T2^8 - 23886*T1^5*T2^8 + 
      74692*T1^6*T2^8 - 66028*T1^7*T2^8 - 24668*T1^8*T2^8 + 51186*T1^9*T2^8 - 
      18180*T1^10*T2^8 - 104*T1^11*T2^8 + 600*T1^12*T2^8 - 35*T1^3*T2^9 - 
      1448*T1^4*T2^9 + 9838*T1^5*T2^9 - 15462*T1^6*T2^9 - 12174*T1^7*T2^9 + 
      51186*T1^8*T2^9 - 35220*T1^9*T2^9 + 3790*T1^10*T2^9 + 3640*T1^11*T2^9 - 
      863*T1^12*T2^9 + 216*T1^4*T2^10 - 640*T1^5*T2^10 - 2944*T1^6*T2^10 + 
      13966*T1^7*T2^10 - 18180*T1^8*T2^10 + 3790*T1^9*T2^10 + 
      5888*T1^10*T2^10 - 3712*T1^11*T2^10 + 600*T1^12*T2^10 - 
      136*T1^5*T2^11 + 888*T1^6*T2^11 - 1664*T1^7*T2^11 - 104*T1^8*T2^11 + 
      3640*T1^9*T2^11 - 3712*T1^10*T2^11 + 1464*T1^11*T2^11 - 
      200*T1^12*T2^11 + 25*T1^6*T2^12 - 200*T1^7*T2^12 + 600*T1^8*T2^12 - 
      863*T1^9*T2^12 + 600*T1^10*T2^12 - 200*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 309] -> 
  {-(((1 - 3*T + T^2)*(3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^3), 
   -((-84 + 588*T1 - 1627*T1^2 + 2276*T1^3 - 1627*T1^4 + 588*T1^5 - 84*T1^6 + 
      588*T2 - 3719*T1*T2 + 8602*T1^2*T2 - 8200*T1^3*T2 + 557*T1^4*T2 + 
      3625*T1^5*T2 - 2207*T1^6*T2 + 399*T1^7*T2 - 1627*T2^2 + 8602*T1*T2^2 - 
      12530*T1^2*T2^2 - 6108*T1^3*T2^2 + 33160*T1^4*T2^2 - 26988*T1^5*T2^2 + 
      6610*T1^6*T2^2 + 1294*T1^7*T2^2 - 583*T1^8*T2^2 + 2276*T2^3 - 
      8200*T1*T2^3 - 6108*T1^2*T2^3 + 60253*T1^3*T2^3 - 87471*T1^4*T2^3 + 
      24240*T1^5*T2^3 + 25267*T1^6*T2^3 - 19158*T1^7*T2^3 + 3455*T1^8*T2^3 + 
      89*T1^9*T2^3 - 1627*T2^4 + 557*T1*T2^4 + 33160*T1^2*T2^4 - 
      87471*T1^3*T2^4 + 46146*T1^4*T2^4 + 96586*T1^5*T2^4 - 
      119694*T1^6*T2^4 + 43263*T1^7*T2^4 + 2086*T1^8*T2^4 - 3853*T1^9*T2^4 + 
      461*T1^10*T2^4 + 588*T2^5 + 3625*T1*T2^5 - 26988*T1^2*T2^5 + 
      24240*T1^3*T2^5 + 96586*T1^4*T2^5 - 230655*T1^5*T2^5 + 
      141261*T1^6*T2^5 + 14110*T1^7*T2^5 - 49425*T1^8*T2^5 + 
      17382*T1^9*T2^5 - 722*T1^10*T2^5 - 357*T1^11*T2^5 - 84*T2^6 - 
      2207*T1*T2^6 + 6610*T1^2*T2^6 + 25267*T1^3*T2^6 - 119694*T1^4*T2^6 + 
      141261*T1^5*T2^6 + 33228*T1^6*T2^6 - 166533*T1^7*T2^6 + 
      110594*T1^8*T2^6 - 18083*T1^9*T2^6 - 7118*T1^10*T2^6 + 
      1951*T1^11*T2^6 + 78*T1^12*T2^6 + 399*T1*T2^7 + 1294*T1^2*T2^7 - 
      19158*T1^3*T2^7 + 43263*T1^4*T2^7 + 14110*T1^5*T2^7 - 
      166533*T1^6*T2^7 + 205383*T1^7*T2^7 - 68366*T1^8*T2^7 - 
      30402*T1^9*T2^7 + 25212*T1^10*T2^7 - 3053*T1^11*T2^7 - 546*T1^12*T2^7 - 
      583*T1^2*T2^8 + 3455*T1^3*T2^8 + 2086*T1^4*T2^8 - 49425*T1^5*T2^8 + 
      110594*T1^6*T2^8 - 68366*T1^7*T2^8 - 55246*T1^8*T2^8 + 
      81309*T1^9*T2^8 - 28988*T1^10*T2^8 - 955*T1^11*T2^8 + 1505*T1^12*T2^8 + 
      89*T1^3*T2^9 - 3853*T1^4*T2^9 + 17382*T1^5*T2^9 - 18083*T1^6*T2^9 - 
      30402*T1^7*T2^9 + 81309*T1^8*T2^9 - 53069*T1^9*T2^9 + 4332*T1^10*T2^9 + 
      7802*T1^11*T2^9 - 2098*T1^12*T2^9 + 461*T1^4*T2^10 - 722*T1^5*T2^10 - 
      7118*T1^6*T2^10 + 25212*T1^7*T2^10 - 28988*T1^8*T2^10 + 
      4332*T1^9*T2^10 + 12022*T1^10*T2^10 - 8030*T1^11*T2^10 + 
      1505*T1^12*T2^10 - 357*T1^5*T2^11 + 1951*T1^6*T2^11 - 3053*T1^7*T2^11 - 
      955*T1^8*T2^11 + 7802*T1^9*T2^11 - 8030*T1^10*T2^11 + 
      3463*T1^11*T2^11 - 546*T1^12*T2^11 + 78*T1^6*T2^12 - 546*T1^7*T2^12 + 
      1505*T1^8*T2^12 - 2098*T1^9*T2^12 + 1505*T1^10*T2^12 - 
      546*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 310] -> 
  {((1 - 3*T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 212*T1^3 - 268*T1^4 + 212*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1048*T1^3*T2 + 
     872*T1^4*T2 - 88*T1^5*T2 - 408*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1435*T1^2*T2^2 + 977*T1^3*T2^2 + 
     1468*T1^4*T2^2 - 4257*T1^5*T2^2 + 3628*T1^6*T2^2 - 1453*T1^7*T2^2 - 
     31*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 212*T2^3 - 1048*T1*T2^3 + 
     977*T1^2*T2^3 + 2835*T1^3*T2^3 - 8847*T1^4*T2^3 + 10676*T1^5*T2^3 - 
     2524*T1^6*T2^3 - 3492*T1^7*T2^3 + 3861*T1^8*T2^3 - 1372*T1^9*T2^3 + 
     8*T1^10*T2^3 + 53*T1^11*T2^3 - 268*T2^4 + 872*T1*T2^4 + 1468*T1^2*T2^4 - 
     8847*T1^3*T2^4 + 13400*T1^4*T2^4 - 5267*T1^5*T2^4 - 14788*T1^6*T2^4 + 
     16593*T1^7*T2^4 - 7072*T1^8*T2^4 - 1003*T1^9*T2^4 + 1920*T1^10*T2^4 - 
     424*T1^11*T2^4 + 212*T2^5 - 88*T1*T2^5 - 4257*T1^2*T2^5 + 
     10676*T1^3*T2^5 - 5267*T1^4*T2^5 - 16112*T1^5*T2^5 + 36460*T1^6*T2^5 - 
     15895*T1^7*T2^5 - 7922*T1^8*T2^5 + 13725*T1^9*T2^5 - 5816*T1^10*T2^5 + 
     21*T1^11*T2^5 + 424*T1^12*T2^5 - 53*T1^13*T2^5 - 108*T2^6 - 
     408*T1*T2^6 + 3628*T1^2*T2^6 - 2524*T1^3*T2^6 - 14788*T1^4*T2^6 + 
     36460*T1^5*T2^6 - 33169*T1^6*T2^6 - 17161*T1^7*T2^6 + 39443*T1^8*T2^6 - 
     23000*T1^9*T2^6 + 246*T1^10*T2^6 + 5738*T1^11*T2^6 - 1948*T1^12*T2^6 - 
     8*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 392*T1*T2^7 - 1453*T1^2*T2^7 - 
     3492*T1^3*T2^7 + 16593*T1^4*T2^7 - 15895*T1^5*T2^7 - 17161*T1^6*T2^7 + 
     67128*T1^7*T2^7 - 52848*T1^8*T2^7 + 1752*T1^9*T2^7 + 22250*T1^10*T2^7 - 
     13871*T1^11*T2^7 + 1109*T1^12*T2^7 + 1382*T1^13*T2^7 - 240*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 31*T1^2*T2^8 + 3861*T1^3*T2^8 - 
     7072*T1^4*T2^8 - 7922*T1^5*T2^8 + 39443*T1^6*T2^8 - 52848*T1^7*T2^8 + 
     2556*T1^8*T2^8 + 50572*T1^9*T2^8 - 41047*T1^10*T2^8 + 8902*T1^11*T2^8 + 
     6900*T1^12*T2^8 - 3905*T1^13*T2^8 + 29*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 240*T1^2*T2^9 - 1372*T1^3*T2^9 - 
     1003*T1^4*T2^9 + 13725*T1^5*T2^9 - 23000*T1^6*T2^9 + 1752*T1^7*T2^9 + 
     50572*T1^8*T2^9 - 69404*T1^9*T2^9 + 20665*T1^10*T2^9 + 
     15145*T1^11*T2^9 - 16739*T1^12*T2^9 + 3598*T1^13*T2^9 + 
     1463*T1^14*T2^9 - 392*T1^15*T2^9 - 32*T1^16*T2^9 - 54*T1^2*T2^10 + 
     8*T1^3*T2^10 + 1920*T1^4*T2^10 - 5816*T1^5*T2^10 + 246*T1^6*T2^10 + 
     22250*T1^7*T2^10 - 41047*T1^8*T2^10 + 20665*T1^9*T2^10 + 
     31565*T1^10*T2^10 - 37210*T1^11*T2^10 + 15280*T1^12*T2^10 + 
     2446*T1^13*T2^10 - 3656*T1^14*T2^10 + 408*T1^15*T2^10 + 
     108*T1^16*T2^10 + 53*T1^3*T2^11 - 424*T1^4*T2^11 + 21*T1^5*T2^11 + 
     5738*T1^6*T2^11 - 13871*T1^7*T2^11 + 8902*T1^8*T2^11 + 
     15145*T1^9*T2^11 - 37210*T1^10*T2^11 + 17092*T1^11*T2^11 + 
     5121*T1^12*T2^11 - 10754*T1^13*T2^11 + 4299*T1^14*T2^11 + 
     88*T1^15*T2^11 - 212*T1^16*T2^11 + 424*T1^5*T2^12 - 1948*T1^6*T2^12 + 
     1109*T1^7*T2^12 + 6900*T1^8*T2^12 - 16739*T1^9*T2^12 + 
     15280*T1^10*T2^12 + 5121*T1^11*T2^12 - 13572*T1^12*T2^12 + 
     8953*T1^13*T2^12 - 1496*T1^14*T2^12 - 872*T1^15*T2^12 + 
     268*T1^16*T2^12 - 53*T1^5*T2^13 - 8*T1^6*T2^13 + 1382*T1^7*T2^13 - 
     3905*T1^8*T2^13 + 3598*T1^9*T2^13 + 2446*T1^10*T2^13 - 
     10754*T1^11*T2^13 + 8953*T1^12*T2^13 - 2879*T1^13*T2^13 - 
     967*T1^14*T2^13 + 1048*T1^15*T2^13 - 212*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 29*T1^8*T2^14 + 1463*T1^9*T2^14 - 3656*T1^10*T2^14 + 
     4299*T1^11*T2^14 - 1496*T1^12*T2^14 - 967*T1^13*T2^14 + 
     1433*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 408*T1^10*T2^15 + 88*T1^11*T2^15 - 
     872*T1^12*T2^15 + 1048*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     212*T1^11*T2^16 + 268*T1^12*T2^16 - 212*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 311] -> 
  {-((5 - 23*T + 42*T^2 - 49*T^3 + 42*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((-645 + 2955*T1 - 5359*T1^2 + 6235*T1^3 - 5359*T1^4 + 2955*T1^5 - 
      645*T1^6 + 2955*T2 - 11177*T1*T2 + 13713*T1^2*T2 - 8874*T1^3*T2 + 
      1591*T1^4*T2 + 6238*T1^5*T2 - 7957*T1^6*T2 + 2380*T1^7*T2 - 5359*T2^2 + 
      13713*T1*T2^2 + 2057*T1^2*T2^2 - 24159*T1^3*T2^2 + 34531*T1^4*T2^2 - 
      35079*T1^5*T2^2 + 17597*T1^6*T2^2 + 4053*T1^7*T2^2 - 3259*T1^8*T2^2 + 
      6235*T2^3 - 8874*T1*T2^3 - 24159*T1^2*T2^3 + 40067*T1^3*T2^3 - 
      28542*T1^4*T2^3 + 11589*T1^5*T2^3 + 16967*T1^6*T2^3 - 27981*T1^7*T2^3 + 
      3201*T1^8*T2^3 + 2560*T1^9*T2^3 - 5359*T2^4 + 1591*T1*T2^4 + 
      34531*T1^2*T2^4 - 28542*T1^3*T2^4 + 1340*T1^4*T2^4 + 12154*T1^5*T2^4 - 
      26184*T1^6*T2^4 + 13696*T1^7*T2^4 + 17969*T1^8*T2^4 - 6459*T1^9*T2^4 - 
      1159*T1^10*T2^4 + 2955*T2^5 + 6238*T1*T2^5 - 35079*T1^2*T2^5 + 
      11589*T1^3*T2^5 + 12154*T1^4*T2^5 - 8437*T1^5*T2^5 + 6571*T1^6*T2^5 + 
      10726*T1^7*T2^5 - 24328*T1^8*T2^5 - 2865*T1^9*T2^5 + 4973*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 7957*T1*T2^6 + 17597*T1^2*T2^6 + 
      16967*T1^3*T2^6 - 26184*T1^4*T2^6 + 6571*T1^5*T2^6 + 996*T1^6*T2^6 - 
      10315*T1^7*T2^6 + 6968*T1^8*T2^6 + 17345*T1^9*T2^6 - 7131*T1^10*T2^6 - 
      827*T1^11*T2^6 + 105*T1^12*T2^6 + 2380*T1*T2^7 + 4053*T1^2*T2^7 - 
      27981*T1^3*T2^7 + 13696*T1^4*T2^7 + 10726*T1^5*T2^7 - 10315*T1^6*T2^7 + 
      4693*T1^7*T2^7 + 9298*T1^8*T2^7 - 22221*T1^9*T2^7 + 4233*T1^10*T2^7 + 
      2788*T1^11*T2^7 - 495*T1^12*T2^7 - 3259*T1^2*T2^8 + 3201*T1^3*T2^8 + 
      17969*T1^4*T2^8 - 24328*T1^5*T2^8 + 6968*T1^6*T2^8 + 9298*T1^7*T2^8 - 
      20556*T1^8*T2^8 + 17910*T1^9*T2^8 + 1407*T1^10*T2^8 - 4849*T1^11*T2^8 + 
      941*T1^12*T2^8 + 2560*T1^3*T2^9 - 6459*T1^4*T2^9 - 2865*T1^5*T2^9 + 
      17345*T1^6*T2^9 - 22221*T1^7*T2^9 + 17910*T1^8*T2^9 - 5755*T1^9*T2^9 - 
      6687*T1^10*T2^9 + 5616*T1^11*T2^9 - 1115*T1^12*T2^9 - 1159*T1^4*T2^10 + 
      4973*T1^5*T2^10 - 7131*T1^6*T2^10 + 4233*T1^7*T2^10 + 1407*T1^8*T2^10 - 
      6687*T1^9*T2^10 + 8409*T1^10*T2^10 - 4687*T1^11*T2^10 + 
      941*T1^12*T2^10 + 80*T1^5*T2^11 - 827*T1^6*T2^11 + 2788*T1^7*T2^11 - 
      4849*T1^8*T2^11 + 5616*T1^9*T2^11 - 4687*T1^10*T2^11 + 
      2393*T1^11*T2^11 - 495*T1^12*T2^11 + 105*T1^6*T2^12 - 495*T1^7*T2^12 + 
      941*T1^8*T2^12 - 1115*T1^9*T2^12 + 941*T1^10*T2^12 - 495*T1^11*T2^12 + 
      105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 312] -> {-((9 - 40*T + 61*T^2 - 40*T^3 + 9*T^4)/T^2), 
   -((-2457 + 10906*T1 - 16591*T1^2 + 10906*T1^3 - 2457*T1^4 + 10906*T2 - 
      40770*T1*T2 + 39670*T1^2*T2 + 3310*T1^3*T2 - 23130*T1^4*T2 + 
      7666*T1^5*T2 - 16591*T2^2 + 39670*T1*T2^2 + 31961*T1^2*T2^2 - 
      125803*T1^3*T2^2 + 89057*T1^4*T2^2 - 4250*T1^5*T2^2 - 6709*T1^6*T2^2 + 
      10906*T2^3 + 3310*T1*T2^3 - 125803*T1^2*T2^3 + 169628*T1^3*T2^3 - 
      23892*T1^4*T2^3 - 72123*T1^5*T2^3 + 24550*T1^6*T2^3 + 1186*T1^7*T2^3 - 
      2457*T2^4 - 23130*T1*T2^4 + 89057*T1^2*T2^4 - 23892*T1^3*T2^4 - 
      131268*T1^4*T2^4 + 129548*T1^5*T2^4 - 19179*T1^6*T2^4 - 
      7290*T1^7*T2^4 + 459*T1^8*T2^4 + 7666*T1*T2^5 - 4250*T1^2*T2^5 - 
      72123*T1^3*T2^5 + 129548*T1^4*T2^5 - 63972*T1^5*T2^5 - 
      18443*T1^6*T2^5 + 16990*T1^7*T2^5 - 2054*T1^8*T2^5 - 6709*T1^2*T2^6 + 
      24550*T1^3*T2^6 - 19179*T1^4*T2^6 - 18443*T1^5*T2^6 + 37917*T1^6*T2^6 - 
      19370*T1^7*T2^6 + 3173*T1^8*T2^6 + 1186*T1^3*T2^7 - 7290*T1^4*T2^7 + 
      16990*T1^5*T2^7 - 19370*T1^6*T2^7 + 10350*T1^7*T2^7 - 2054*T1^8*T2^7 + 
      459*T1^4*T2^8 - 2054*T1^5*T2^8 + 3173*T1^6*T2^8 - 2054*T1^7*T2^8 + 
      459*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 313] -> 
  {(4 - 20*T + 48*T^2 - 63*T^3 + 48*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (2*(-136 + 674*T1 - 1614*T1^2 + 2116*T1^3 - 1614*T1^4 + 674*T1^5 - 
      136*T1^6 + 674*T2 - 2828*T1*T2 + 5460*T1^2*T2 - 4409*T1^3*T2 + 
      31*T1^4*T2 + 2740*T1^5*T2 - 1868*T1^6*T2 + 514*T1^7*T2 - 1614*T2^2 + 
      5460*T1*T2^2 - 7432*T1^2*T2^2 - 812*T1^3*T2^2 + 10348*T1^4*T2^2 - 
      9068*T1^5*T2^2 + 1016*T1^6*T2^2 + 1620*T1^7*T2^2 - 846*T1^8*T2^2 + 
      2116*T2^3 - 4409*T1*T2^3 - 812*T1^2*T2^3 + 19227*T1^3*T2^3 - 
      23270*T1^4*T2^3 + 4306*T1^5*T2^3 + 11913*T1^6*T2^3 - 7436*T1^7*T2^3 + 
      1231*T1^8*T2^3 + 604*T1^9*T2^3 - 1614*T2^4 + 31*T1*T2^4 + 
      10348*T1^2*T2^4 - 23270*T1^3*T2^4 + 1607*T1^4*T2^4 + 33600*T1^5*T2^4 - 
      35677*T1^6*T2^4 + 7978*T1^7*T2^4 + 3580*T1^8*T2^4 - 2609*T1^9*T2^4 - 
      78*T1^10*T2^4 + 674*T2^5 + 2740*T1*T2^5 - 9068*T1^2*T2^5 + 
      4306*T1^3*T2^5 + 33600*T1^4*T2^5 - 53099*T1^5*T2^5 + 21613*T1^6*T2^5 + 
      17664*T1^7*T2^5 - 15926*T1^8*T2^5 + 4084*T1^9*T2^5 + 980*T1^10*T2^5 - 
      126*T1^11*T2^5 - 136*T2^6 - 1868*T1*T2^6 + 1016*T1^2*T2^6 + 
      11913*T1^3*T2^6 - 35677*T1^4*T2^6 + 21613*T1^5*T2^6 + 24342*T1^6*T2^6 - 
      43219*T1^7*T2^6 + 17603*T1^8*T2^6 + 1209*T1^9*T2^6 - 3464*T1^10*T2^6 + 
      372*T1^11*T2^6 + 56*T1^12*T2^6 + 514*T1*T2^7 + 1620*T1^2*T2^7 - 
      7436*T1^3*T2^7 + 7978*T1^4*T2^7 + 17664*T1^5*T2^7 - 43219*T1^6*T2^7 + 
      31493*T1^7*T2^7 + 1728*T1^8*T2^7 - 12254*T1^9*T2^7 + 5716*T1^10*T2^7 - 
      140*T1^11*T2^7 - 286*T1^12*T2^7 - 846*T1^2*T2^8 + 1231*T1^3*T2^8 + 
      3580*T1^4*T2^8 - 15926*T1^5*T2^8 + 17603*T1^6*T2^8 + 1728*T1^7*T2^8 - 
      19681*T1^8*T2^8 + 15322*T1^9*T2^8 - 3188*T1^10*T2^8 - 1409*T1^11*T2^8 + 
      690*T1^12*T2^8 + 604*T1^3*T2^9 - 2609*T1^4*T2^9 + 4084*T1^5*T2^9 + 
      1209*T1^6*T2^9 - 12254*T1^7*T2^9 + 15322*T1^8*T2^9 - 6105*T1^9*T2^9 - 
      2540*T1^10*T2^9 + 3031*T1^11*T2^9 - 908*T1^12*T2^9 - 78*T1^4*T2^10 + 
      980*T1^5*T2^10 - 3464*T1^6*T2^10 + 5716*T1^7*T2^10 - 3188*T1^8*T2^10 - 
      2540*T1^9*T2^10 + 4984*T1^10*T2^10 - 2860*T1^11*T2^10 + 
      690*T1^12*T2^10 - 126*T1^5*T2^11 + 372*T1^6*T2^11 - 140*T1^7*T2^11 - 
      1409*T1^8*T2^11 + 3031*T1^9*T2^11 - 2860*T1^10*T2^11 + 
      1332*T1^11*T2^11 - 286*T1^12*T2^11 + 56*T1^6*T2^12 - 286*T1^7*T2^12 + 
      690*T1^8*T2^12 - 908*T1^9*T2^12 + 690*T1^10*T2^12 - 286*T1^11*T2^12 + 
      56*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 314] -> 
  {-((3 - 21*T + 51*T^2 - 67*T^3 + 51*T^4 - 21*T^5 + 3*T^6)/T^3), 
   -((-138 + 963*T1 - 2328*T1^2 + 3054*T1^3 - 2328*T1^4 + 963*T1^5 - 
      138*T1^6 + 963*T2 - 5949*T1*T2 + 10865*T1^2*T2 - 8291*T1^3*T2 - 
      857*T1^4*T2 + 6329*T1^5*T2 - 4437*T1^6*T2 + 774*T1^7*T2 - 2328*T2^2 + 
      10865*T1*T2^2 - 3373*T1^2*T2^2 - 28828*T1^3*T2^2 + 55359*T1^4*T2^2 - 
      42904*T1^5*T2^2 + 11315*T1^6*T2^2 + 4439*T1^7*T2^2 - 1410*T1^8*T2^2 + 
      3054*T2^3 - 8291*T1*T2^3 - 28828*T1^2*T2^3 + 83946*T1^3*T2^3 - 
      79785*T1^4*T2^3 + 3177*T1^5*T2^3 + 49044*T1^6*T2^3 - 33877*T1^7*T2^3 + 
      1159*T1^8*T2^3 + 1245*T1^9*T2^3 - 2328*T2^4 - 857*T1*T2^4 + 
      55359*T1^2*T2^4 - 79785*T1^3*T2^4 - 600*T1^4*T2^4 + 110120*T1^5*T2^4 - 
      100668*T1^6*T2^4 + 14283*T1^7*T2^4 + 27477*T1^8*T2^4 - 5267*T1^9*T2^4 - 
      492*T1^10*T2^4 + 963*T2^5 + 6329*T1*T2^5 - 42904*T1^2*T2^5 + 
      3177*T1^3*T2^5 + 110120*T1^4*T2^5 - 148209*T1^5*T2^5 + 
      31221*T1^6*T2^5 + 72941*T1^7*T2^5 - 57573*T1^8*T2^5 - 1747*T1^9*T2^5 + 
      3305*T1^10*T2^5 + 18*T1^11*T2^5 - 138*T2^6 - 4437*T1*T2^6 + 
      11315*T1^2*T2^6 + 49044*T1^3*T2^6 - 100668*T1^4*T2^6 + 
      31221*T1^5*T2^6 + 106584*T1^6*T2^6 - 124533*T1^7*T2^6 + 
      33594*T1^8*T2^6 + 26148*T1^9*T2^6 - 7369*T1^10*T2^6 - 279*T1^11*T2^6 + 
      24*T1^12*T2^6 + 774*T1*T2^7 + 4439*T1^2*T2^7 - 33877*T1^3*T2^7 + 
      14283*T1^4*T2^7 + 72941*T1^5*T2^7 - 124533*T1^6*T2^7 + 
      54897*T1^7*T2^7 + 35762*T1^8*T2^7 - 46467*T1^9*T2^7 + 7280*T1^10*T2^7 + 
      1415*T1^11*T2^7 - 171*T1^12*T2^7 - 1410*T1^2*T2^8 + 1159*T1^3*T2^8 + 
      27477*T1^4*T2^8 - 57573*T1^5*T2^8 + 33594*T1^6*T2^8 + 35762*T1^7*T2^8 - 
      66474*T1^8*T2^8 + 36495*T1^9*T2^8 - 405*T1^10*T2^8 - 3251*T1^11*T2^8 + 
      426*T1^12*T2^8 + 1245*T1^3*T2^9 - 5267*T1^4*T2^9 - 1747*T1^5*T2^9 + 
      26148*T1^6*T2^9 - 46467*T1^7*T2^9 + 36495*T1^8*T2^9 - 8754*T1^9*T2^9 - 
      6796*T1^10*T2^9 + 4183*T1^11*T2^9 - 564*T1^12*T2^9 - 492*T1^4*T2^10 + 
      3305*T1^5*T2^10 - 7369*T1^6*T2^10 + 7280*T1^7*T2^10 - 405*T1^8*T2^10 - 
      6796*T1^9*T2^10 + 7319*T1^10*T2^10 - 3121*T1^11*T2^10 + 
      426*T1^12*T2^10 + 18*T1^5*T2^11 - 279*T1^6*T2^11 + 1415*T1^7*T2^11 - 
      3251*T1^8*T2^11 + 4183*T1^9*T2^11 - 3121*T1^10*T2^11 + 
      1233*T1^11*T2^11 - 171*T1^12*T2^11 + 24*T1^6*T2^12 - 171*T1^7*T2^12 + 
      426*T1^8*T2^12 - 564*T1^9*T2^12 + 426*T1^10*T2^12 - 171*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 315] -> 
  {-((5 - 24*T + 50*T^2 - 63*T^3 + 50*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((-645 + 3075*T1 - 6362*T1^2 + 8001*T1^3 - 6362*T1^4 + 3075*T1^5 - 
      645*T1^6 + 3075*T2 - 12210*T1*T2 + 18623*T1^2*T2 - 13856*T1^3*T2 - 
      296*T1^4*T2 + 9743*T1^5*T2 - 8730*T1^6*T2 + 2475*T1^7*T2 - 6362*T2^2 + 
      18623*T1*T2^2 - 10534*T1^2*T2^2 - 19275*T1^3*T2^2 + 46210*T1^4*T2^2 - 
      38775*T1^5*T2^2 + 11966*T1^6*T2^2 + 6623*T1^7*T2^2 - 3862*T1^8*T2^2 + 
      8001*T2^3 - 13856*T1*T2^3 - 19275*T1^2*T2^3 + 58659*T1^3*T2^3 - 
      59413*T1^4*T2^3 + 6257*T1^5*T2^3 + 34119*T1^6*T2^3 - 31725*T1^7*T2^3 + 
      2824*T1^8*T2^3 + 3276*T1^9*T2^3 - 6362*T2^4 - 296*T1*T2^4 + 
      46210*T1^2*T2^4 - 59413*T1^3*T2^4 + 13261*T1^4*T2^4 + 58061*T1^5*T2^4 - 
      59675*T1^6*T2^4 + 13667*T1^7*T2^4 + 23634*T1^8*T2^4 - 9176*T1^9*T2^4 - 
      1362*T1^10*T2^4 + 3075*T2^5 + 9743*T1*T2^5 - 38775*T1^2*T2^5 + 
      6257*T1^3*T2^5 + 58061*T1^4*T2^5 - 85536*T1^5*T2^5 + 21414*T1^6*T2^5 + 
      39761*T1^7*T2^5 - 44593*T1^8*T2^5 + 1875*T1^9*T2^5 + 6143*T1^10*T2^5 + 
      75*T1^11*T2^5 - 645*T2^6 - 8730*T1*T2^6 + 11966*T1^2*T2^6 + 
      34119*T1^3*T2^6 - 59675*T1^4*T2^6 + 21414*T1^5*T2^6 + 59340*T1^6*T2^6 - 
      73506*T1^7*T2^6 + 27673*T1^8*T2^6 + 19869*T1^9*T2^6 - 
      10830*T1^10*T2^6 - 810*T1^11*T2^6 + 105*T1^12*T2^6 + 2475*T1*T2^7 + 
      6623*T1^2*T2^7 - 31725*T1^3*T2^7 + 13667*T1^4*T2^7 + 39761*T1^5*T2^7 - 
      73506*T1^6*T2^7 + 33444*T1^7*T2^7 + 21461*T1^8*T2^7 - 37183*T1^9*T2^7 + 
      8925*T1^10*T2^7 + 3023*T1^11*T2^7 - 525*T1^12*T2^7 - 3862*T1^2*T2^8 + 
      2824*T1^3*T2^8 + 23634*T1^4*T2^8 - 44593*T1^5*T2^8 + 27673*T1^6*T2^8 + 
      21461*T1^7*T2^8 - 45263*T1^8*T2^8 + 28487*T1^9*T2^8 + 1058*T1^10*T2^8 - 
      6056*T1^11*T2^8 + 1138*T1^12*T2^8 + 3276*T1^3*T2^9 - 9176*T1^4*T2^9 + 
      1875*T1^5*T2^9 + 19869*T1^6*T2^9 - 37183*T1^7*T2^9 + 28487*T1^8*T2^9 - 
      4671*T1^9*T2^9 - 10575*T1^10*T2^9 + 7504*T1^11*T2^9 - 1449*T1^12*T2^9 - 
      1362*T1^4*T2^10 + 6143*T1^5*T2^10 - 10830*T1^6*T2^10 + 
      8925*T1^7*T2^10 + 1058*T1^8*T2^10 - 10575*T1^9*T2^10 + 
      11670*T1^10*T2^10 - 5857*T1^11*T2^10 + 1138*T1^12*T2^10 + 
      75*T1^5*T2^11 - 810*T1^6*T2^11 + 3023*T1^7*T2^11 - 6056*T1^8*T2^11 + 
      7504*T1^9*T2^11 - 5857*T1^10*T2^11 + 2670*T1^11*T2^11 - 
      525*T1^12*T2^11 + 105*T1^6*T2^12 - 525*T1^7*T2^12 + 1138*T1^8*T2^12 - 
      1449*T1^9*T2^12 + 1138*T1^10*T2^12 - 525*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 316] -> 
  {(1 - 8*T + 29*T^2 - 62*T^3 + 81*T^4 - 62*T^5 + 29*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 248*T1^3 - 324*T1^4 + 248*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1288*T1^3*T2 + 
     1104*T1^4*T2 - 40*T1^5*T2 - 560*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1887*T1^2*T2^2 + 2091*T1^3*T2^2 + 
     825*T1^4*T2^2 - 4767*T1^5*T2^2 + 3841*T1^6*T2^2 - 1041*T1^7*T2^2 - 
     263*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 248*T2^3 - 
     1288*T1*T2^3 + 2091*T1^2*T2^3 + 1162*T1^3*T2^3 - 10145*T1^4*T2^3 + 
     14071*T1^5*T2^3 - 2179*T1^6*T2^3 - 5587*T1^7*T2^3 + 4296*T1^8*T2^3 - 
     1215*T1^9*T2^3 - 32*T1^10*T2^3 + 62*T1^11*T2^3 - 324*T2^4 + 
     1104*T1*T2^4 + 825*T1^2*T2^4 - 10145*T1^3*T2^4 + 21261*T1^4*T2^4 - 
     10299*T1^5*T2^4 - 23225*T1^6*T2^4 + 23789*T1^7*T2^4 - 6387*T1^8*T2^4 - 
     2457*T1^9*T2^4 + 2285*T1^10*T2^4 - 496*T1^11*T2^4 + 248*T2^5 - 
     40*T1*T2^5 - 4767*T1^2*T2^5 + 14071*T1^3*T2^5 - 10299*T1^4*T2^5 - 
     29858*T1^5*T2^5 + 67883*T1^6*T2^5 - 23797*T1^7*T2^5 - 19726*T1^8*T2^5 + 
     20537*T1^9*T2^5 - 6903*T1^10*T2^5 - 3*T1^11*T2^5 + 496*T1^12*T2^5 - 
     62*T1^13*T2^5 - 116*T2^6 - 560*T1*T2^6 + 3841*T1^2*T2^6 - 
     2179*T1^3*T2^6 - 23225*T1^4*T2^6 + 67883*T1^5*T2^6 - 55793*T1^6*T2^6 - 
     52551*T1^7*T2^6 + 86239*T1^8*T2^6 - 37877*T1^9*T2^6 - 595*T1^10*T2^6 + 
     6985*T1^11*T2^6 - 2287*T1^12*T2^6 + 32*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 1041*T1^2*T2^7 - 5587*T1^3*T2^7 + 
     23789*T1^4*T2^7 - 23797*T1^5*T2^7 - 52551*T1^6*T2^7 + 158764*T1^7*T2^7 - 
     110944*T1^8*T2^7 - 4159*T1^9*T2^7 + 39723*T1^10*T2^7 - 
     20055*T1^11*T2^7 + 2375*T1^12*T2^7 + 1221*T1^13*T2^7 - 272*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 263*T1^2*T2^8 + 4296*T1^3*T2^8 - 
     6387*T1^4*T2^8 - 19726*T1^5*T2^8 + 86239*T1^6*T2^8 - 110944*T1^7*T2^8 - 
     8748*T1^8*T2^8 + 117864*T1^9*T2^8 - 83369*T1^10*T2^8 + 
     17578*T1^11*T2^8 + 6505*T1^12*T2^8 - 4288*T1^13*T2^8 + 261*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 
     1215*T1^3*T2^9 - 2457*T1^4*T2^9 + 20537*T1^5*T2^9 - 37877*T1^6*T2^9 - 
     4159*T1^7*T2^9 + 117864*T1^8*T2^9 - 151844*T1^9*T2^9 + 
     44233*T1^10*T2^9 + 25643*T1^11*T2^9 - 23307*T1^12*T2^9 + 
     5505*T1^13*T2^9 + 1047*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 
     58*T1^2*T2^10 - 32*T1^3*T2^10 + 2285*T1^4*T2^10 - 6903*T1^5*T2^10 - 
     595*T1^6*T2^10 + 39723*T1^7*T2^10 - 83369*T1^8*T2^10 + 
     44233*T1^9*T2^10 + 58663*T1^10*T2^10 - 66037*T1^11*T2^10 + 
     22035*T1^12*T2^10 + 2261*T1^13*T2^10 - 3843*T1^14*T2^10 + 
     560*T1^15*T2^10 + 116*T1^16*T2^10 + 62*T1^3*T2^11 - 496*T1^4*T2^11 - 
     3*T1^5*T2^11 + 6985*T1^6*T2^11 - 20055*T1^7*T2^11 + 17578*T1^8*T2^11 + 
     25643*T1^9*T2^11 - 66037*T1^10*T2^11 + 27710*T1^11*T2^11 + 
     10781*T1^12*T2^11 - 13989*T1^13*T2^11 + 4761*T1^14*T2^11 + 
     40*T1^15*T2^11 - 248*T1^16*T2^11 + 496*T1^5*T2^12 - 2287*T1^6*T2^12 + 
     2375*T1^7*T2^12 + 6505*T1^8*T2^12 - 23307*T1^9*T2^12 + 
     22035*T1^10*T2^12 + 10781*T1^11*T2^12 - 21143*T1^12*T2^12 + 
     10063*T1^13*T2^12 - 827*T1^14*T2^12 - 1104*T1^15*T2^12 + 
     324*T1^16*T2^12 - 62*T1^5*T2^13 + 32*T1^6*T2^13 + 1221*T1^7*T2^13 - 
     4288*T1^8*T2^13 + 5505*T1^9*T2^13 + 2261*T1^10*T2^13 - 
     13989*T1^11*T2^13 + 10063*T1^12*T2^13 - 1154*T1^13*T2^13 - 
     2085*T1^14*T2^13 + 1288*T1^15*T2^13 - 248*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 261*T1^8*T2^14 + 1047*T1^9*T2^14 - 3843*T1^10*T2^14 + 
     4761*T1^11*T2^14 - 827*T1^12*T2^14 - 2085*T1^13*T2^14 + 
     1885*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 560*T1^10*T2^15 + 40*T1^11*T2^15 - 
     1104*T1^12*T2^15 + 1288*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 248*T1^11*T2^16 + 324*T1^12*T2^16 - 248*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 317] -> 
  {(5 - 25*T + 60*T^2 - 79*T^3 + 60*T^4 - 25*T^5 + 5*T^6)/T^3, 
   (-230 + 1170*T1 - 2821*T1^2 + 3724*T1^3 - 2821*T1^4 + 1170*T1^5 - 
     230*T1^6 + 1170*T2 - 5393*T1*T2 + 11501*T1^2*T2 - 12078*T1^3*T2 + 
     5297*T1^4*T2 + 876*T1^5*T2 - 1643*T1^6*T2 + 545*T1^7*T2 - 2821*T2^2 + 
     11501*T1*T2^2 - 19849*T1^2*T2^2 + 9833*T1^3*T2^2 + 13281*T1^4*T2^2 - 
     22567*T1^5*T2^2 + 13151*T1^6*T2^2 - 3499*T1^7*T2^2 + 179*T1^8*T2^2 + 
     3724*T2^3 - 12078*T1*T2^3 + 9833*T1^2*T2^3 + 24819*T1^3*T2^3 - 
     60921*T1^4*T2^3 + 46854*T1^5*T2^3 - 3141*T1^6*T2^3 - 16267*T1^7*T2^3 + 
     10047*T1^8*T2^3 - 2201*T1^9*T2^3 - 2821*T2^4 + 5297*T1*T2^4 + 
     13281*T1^2*T2^4 - 60921*T1^3*T2^4 + 75609*T1^4*T2^4 - 2583*T1^5*T2^4 - 
     71691*T1^6*T2^4 + 61529*T1^7*T2^4 - 13469*T1^8*T2^4 - 4953*T1^9*T2^4 + 
     3179*T1^10*T2^4 + 1170*T2^5 + 876*T1*T2^5 - 22567*T1^2*T2^5 + 
     46854*T1^3*T2^5 - 2583*T1^4*T2^5 - 126555*T1^5*T2^5 + 168555*T1^6*T2^5 - 
     64983*T1^7*T2^5 - 31571*T1^8*T2^5 + 28733*T1^9*T2^5 - 5999*T1^10*T2^5 - 
     1955*T1^11*T2^5 - 230*T2^6 - 1643*T1*T2^6 + 13151*T1^2*T2^6 - 
     3141*T1^3*T2^6 - 71691*T1^4*T2^6 + 168555*T1^5*T2^6 - 93696*T1^6*T2^6 - 
     86495*T1^7*T2^6 + 135809*T1^8*T2^6 - 44991*T1^9*T2^6 - 4349*T1^10*T2^6 + 
     7107*T1^11*T2^6 + 520*T1^12*T2^6 + 545*T1*T2^7 - 3499*T1^2*T2^7 - 
     16267*T1^3*T2^7 + 61529*T1^4*T2^7 - 64983*T1^5*T2^7 - 86495*T1^6*T2^7 + 
     208615*T1^7*T2^7 - 127383*T1^8*T2^7 - 16896*T1^9*T2^7 + 
     35033*T1^10*T2^7 - 10374*T1^11*T2^7 - 2580*T1^12*T2^7 + 179*T1^2*T2^8 + 
     10047*T1^3*T2^8 - 13469*T1^4*T2^8 - 31571*T1^5*T2^8 + 135809*T1^6*T2^8 - 
     127383*T1^7*T2^8 - 11491*T1^8*T2^8 + 90879*T1^9*T2^8 - 
     40219*T1^10*T2^8 - 203*T1^11*T2^8 + 6179*T1^12*T2^8 - 2201*T1^3*T2^9 - 
     4953*T1^4*T2^9 + 28733*T1^5*T2^9 - 44991*T1^6*T2^9 - 16896*T1^7*T2^9 + 
     90879*T1^8*T2^9 - 72951*T1^9*T2^9 + 2633*T1^10*T2^9 + 17172*T1^11*T2^9 - 
     8126*T1^12*T2^9 + 3179*T1^4*T2^10 - 5999*T1^5*T2^10 - 4349*T1^6*T2^10 + 
     35033*T1^7*T2^10 - 40219*T1^8*T2^10 + 2633*T1^9*T2^10 + 
     28651*T1^10*T2^10 - 20999*T1^11*T2^10 + 6179*T1^12*T2^10 - 
     1955*T1^5*T2^11 + 7107*T1^6*T2^11 - 10374*T1^7*T2^11 - 203*T1^8*T2^11 + 
     17172*T1^9*T2^11 - 20999*T1^10*T2^11 + 10857*T1^11*T2^11 - 
     2580*T1^12*T2^11 + 520*T1^6*T2^12 - 2580*T1^7*T2^12 + 6179*T1^8*T2^12 - 
     8126*T1^9*T2^12 + 6179*T1^10*T2^12 - 2580*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 318] -> 
  {-((1 - 7*T + 22*T^2 - 43*T^3 + 53*T^4 - 43*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 66*T1^2 + 129*T1^3 - 159*T1^4 + 129*T1^5 - 
      66*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 364*T1^2*T2 - 
      595*T1^3*T2 + 511*T1^4*T2 - 161*T1^5*T2 - 140*T1^6*T2 + 161*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 66*T2^2 + 364*T1*T2^2 - 785*T1^2*T2^2 + 
      822*T1^3*T2^2 + 264*T1^4*T2^2 - 1447*T1^5*T2^2 + 1628*T1^6*T2^2 - 
      762*T1^7*T2^2 + 139*T1^8*T2^2 + 56*T1^9*T2^2 - 22*T1^10*T2^2 + 
      129*T2^3 - 595*T1*T2^3 + 822*T1^2*T2^3 + 197*T1^3*T2^3 - 
      3091*T1^4*T2^3 + 4169*T1^5*T2^3 - 2230*T1^6*T2^3 - 821*T1^7*T2^3 + 
      1407*T1^8*T2^3 - 784*T1^9*T2^3 + 154*T1^10*T2^3 - 159*T2^4 + 
      511*T1*T2^4 + 264*T1^2*T2^4 - 3091*T1^3*T2^4 + 6975*T1^4*T2^4 - 
      4654*T1^5*T2^4 - 1925*T1^6*T2^4 + 6376*T1^7*T2^4 - 3673*T1^8*T2^4 + 
      435*T1^9*T2^4 + 714*T1^10*T2^4 - 371*T1^11*T2^4 + 53*T1^12*T2^4 + 
      129*T2^5 - 161*T1*T2^5 - 1447*T1^2*T2^5 + 4169*T1^3*T2^5 - 
      4654*T1^4*T2^5 - 4528*T1^5*T2^5 + 13275*T1^6*T2^5 - 11431*T1^7*T2^5 - 
      358*T1^8*T2^5 + 5489*T1^9*T2^5 - 3504*T1^10*T2^5 + 668*T1^11*T2^5 + 
      231*T1^12*T2^5 - 86*T1^13*T2^5 - 66*T2^6 - 140*T1*T2^6 + 
      1628*T1^2*T2^6 - 2230*T1^3*T2^6 - 1925*T1^4*T2^6 + 13275*T1^5*T2^6 - 
      14694*T1^6*T2^6 - 408*T1^7*T2^6 + 17026*T1^8*T2^6 - 13745*T1^9*T2^6 + 
      2271*T1^10*T2^6 + 2258*T1^11*T2^6 - 1564*T1^12*T2^6 + 140*T1^13*T2^6 + 
      66*T1^14*T2^6 + 21*T2^7 + 161*T1*T2^7 - 762*T1^2*T2^7 - 821*T1^3*T2^7 + 
      6376*T1^4*T2^7 - 11431*T1^5*T2^7 - 408*T1^6*T2^7 + 24770*T1^7*T2^7 - 
      31482*T1^8*T2^7 + 10249*T1^9*T2^7 + 8647*T1^10*T2^7 - 7315*T1^11*T2^7 + 
      1933*T1^12*T2^7 + 712*T1^13*T2^7 - 266*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 139*T1^2*T2^8 + 1407*T1^3*T2^8 - 3673*T1^4*T2^8 - 
      358*T1^5*T2^8 + 17026*T1^6*T2^8 - 31482*T1^7*T2^8 + 13164*T1^8*T2^8 + 
      19578*T1^9*T2^8 - 27896*T1^10*T2^8 + 9290*T1^11*T2^8 + 815*T1^12*T2^8 - 
      2323*T1^13*T2^8 + 193*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 56*T1^2*T2^9 - 784*T1^3*T2^9 + 435*T1^4*T2^9 + 
      5489*T1^5*T2^9 - 13745*T1^6*T2^9 + 10249*T1^7*T2^9 + 19578*T1^8*T2^9 - 
      36674*T1^9*T2^9 + 20906*T1^10*T2^9 + 6333*T1^11*T2^9 - 
      8202*T1^12*T2^9 + 3189*T1^13*T2^9 + 690*T1^14*T2^9 - 371*T1^15*T2^9 - 
      35*T1^16*T2^9 - 22*T1^2*T2^10 + 154*T1^3*T2^10 + 714*T1^4*T2^10 - 
      3504*T1^5*T2^10 + 2271*T1^6*T2^10 + 8647*T1^7*T2^10 - 
      27896*T1^8*T2^10 + 20906*T1^9*T2^10 + 3824*T1^10*T2^10 - 
      18373*T1^11*T2^10 + 6467*T1^12*T2^10 + 984*T1^13*T2^10 - 
      2478*T1^14*T2^10 + 434*T1^15*T2^10 + 110*T1^16*T2^10 - 371*T1^4*T2^11 + 
      668*T1^5*T2^11 + 2258*T1^6*T2^11 - 7315*T1^7*T2^11 + 9290*T1^8*T2^11 + 
      6333*T1^9*T2^11 - 18373*T1^10*T2^11 + 13460*T1^11*T2^11 + 
      2828*T1^12*T2^11 - 5415*T1^13*T2^11 + 2783*T1^14*T2^11 + 
      21*T1^15*T2^11 - 215*T1^16*T2^11 + 53*T1^4*T2^12 + 231*T1^5*T2^12 - 
      1564*T1^6*T2^12 + 1933*T1^7*T2^12 + 815*T1^8*T2^12 - 8202*T1^9*T2^12 + 
      6467*T1^10*T2^12 + 2828*T1^11*T2^12 - 9833*T1^12*T2^12 + 
      5459*T1^13*T2^12 - 1114*T1^14*T2^12 - 651*T1^15*T2^12 + 
      265*T1^16*T2^12 - 86*T1^5*T2^13 + 140*T1^6*T2^13 + 712*T1^7*T2^13 - 
      2323*T1^8*T2^13 + 3189*T1^9*T2^13 + 984*T1^10*T2^13 - 
      5415*T1^11*T2^13 + 5459*T1^12*T2^13 - 1113*T1^13*T2^13 - 
      894*T1^14*T2^13 + 889*T1^15*T2^13 - 215*T1^16*T2^13 + 66*T1^6*T2^14 - 
      266*T1^7*T2^14 + 193*T1^8*T2^14 + 690*T1^9*T2^14 - 2478*T1^10*T2^14 + 
      2783*T1^11*T2^14 - 1114*T1^12*T2^14 - 894*T1^13*T2^14 + 
      1117*T1^14*T2^14 - 574*T1^15*T2^14 + 110*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 371*T1^9*T2^15 + 434*T1^10*T2^15 + 21*T1^11*T2^15 - 
      651*T1^12*T2^15 + 889*T1^13*T2^15 - 574*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 110*T1^10*T2^16 - 
      215*T1^11*T2^16 + 265*T1^12*T2^16 - 215*T1^13*T2^16 + 110*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 319] -> 
  {(7 - 23*T + 39*T^2 - 45*T^3 + 39*T^4 - 23*T^5 + 7*T^6)/T^3, 
   -((2149 - 6983*T1 + 11759*T1^2 - 13525*T1^3 + 11759*T1^4 - 6983*T1^5 + 
      2149*T1^6 - 6983*T2 + 16909*T1*T2 - 19363*T1^2*T2 + 12096*T1^3*T2 - 
      1428*T1^4*T2 - 9381*T1^5*T2 + 12079*T1^6*T2 - 5856*T1^7*T2 + 
      11759*T2^2 - 19363*T1*T2^2 + 10289*T1^2*T2^2 + 5550*T1^3*T2^2 - 
      14023*T1^4*T2^2 + 17562*T1^5*T2^2 - 7183*T1^6*T2^2 - 6805*T1^7*T2^2 + 
      7937*T1^8*T2^2 - 13525*T2^3 + 12096*T1*T2^3 + 5550*T1^2*T2^3 - 
      16202*T1^3*T2^3 + 11010*T1^4*T2^3 - 5748*T1^5*T2^3 - 9728*T1^6*T2^3 + 
      15495*T1^7*T2^3 - 3360*T1^8*T2^3 - 6910*T1^9*T2^3 + 11759*T2^4 - 
      1428*T1*T2^4 - 14023*T1^2*T2^4 + 11010*T1^3*T2^4 + 2989*T1^4*T2^4 - 
      5409*T1^5*T2^4 + 13585*T1^6*T2^4 - 6090*T1^7*T2^4 - 9001*T1^8*T2^4 + 
      9198*T1^9*T2^4 + 4115*T1^10*T2^4 - 6983*T2^5 - 9381*T1*T2^5 + 
      17562*T1^2*T2^5 - 5748*T1^3*T2^5 - 5409*T1^4*T2^5 + 587*T1^5*T2^5 - 
      4141*T1^6*T2^5 - 5136*T1^7*T2^5 + 10326*T1^8*T2^5 - 651*T1^9*T2^5 - 
      9059*T1^10*T2^5 - 1348*T1^11*T2^5 + 2149*T2^6 + 12079*T1*T2^6 - 
      7183*T1^2*T2^6 - 9728*T1^3*T2^6 + 13585*T1^4*T2^6 - 4141*T1^5*T2^6 + 
      5736*T1^6*T2^6 + 1833*T1^7*T2^6 - 5*T1^8*T2^6 - 9056*T1^9*T2^6 + 
      8725*T1^10*T2^6 + 4029*T1^11*T2^6 + 91*T1^12*T2^6 - 5856*T1*T2^7 - 
      6805*T1^2*T2^7 + 15495*T1^3*T2^7 - 6090*T1^4*T2^7 - 5136*T1^5*T2^7 + 
      1833*T1^6*T2^7 - 2895*T1^7*T2^7 - 4863*T1^8*T2^7 + 9984*T1^9*T2^7 - 
      2718*T1^10*T2^7 - 6483*T1^11*T2^7 - 221*T1^12*T2^7 + 7937*T1^2*T2^8 - 
      3360*T1^3*T2^8 - 9001*T1^4*T2^8 + 10326*T1^5*T2^8 - 5*T1^6*T2^8 - 
      4863*T1^7*T2^8 + 10591*T1^8*T2^8 - 6774*T1^9*T2^8 - 3979*T1^10*T2^8 + 
      7266*T1^11*T2^8 + 293*T1^12*T2^8 - 6910*T1^3*T2^9 + 9198*T1^4*T2^9 - 
      651*T1^5*T2^9 - 9056*T1^6*T2^9 + 9984*T1^7*T2^9 - 6774*T1^8*T2^9 - 
      2582*T1^9*T2^9 + 9294*T1^10*T2^9 - 6258*T1^11*T2^9 - 295*T1^12*T2^9 + 
      4115*T1^4*T2^10 - 9059*T1^5*T2^10 + 8725*T1^6*T2^10 - 2718*T1^7*T2^10 - 
      3979*T1^8*T2^10 + 9294*T1^9*T2^10 - 8747*T1^10*T2^10 + 
      3499*T1^11*T2^10 + 293*T1^12*T2^10 - 1348*T1^5*T2^11 + 
      4029*T1^6*T2^11 - 6483*T1^7*T2^11 + 7266*T1^8*T2^11 - 6258*T1^9*T2^11 + 
      3499*T1^10*T2^11 - 801*T1^11*T2^11 - 221*T1^12*T2^11 + 91*T1^6*T2^12 - 
      221*T1^7*T2^12 + 293*T1^8*T2^12 - 295*T1^9*T2^12 + 293*T1^10*T2^12 - 
      221*T1^11*T2^12 + 91*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 320] -> {(12 - 39*T + 55*T^2 - 39*T^3 + 12*T^4)/T^2, 
   -((7740 - 24873*T1 + 34980*T1^2 - 24873*T1^3 + 7740*T1^4 - 24873*T2 + 
      60816*T1*T2 - 50845*T1^2*T2 - 6853*T1^3*T2 + 36948*T1^4*T2 - 
      19257*T1^5*T2 + 34980*T2^2 - 50845*T1*T2^2 - 21636*T1^2*T2^2 + 
      106752*T1^3*T2^2 - 78396*T1^4*T2^2 + 635*T1^5*T2^2 + 19140*T1^6*T2^2 - 
      24873*T2^3 - 6853*T1*T2^3 + 106752*T1^2*T2^3 - 126165*T1^3*T2^3 + 
      3861*T1^4*T2^3 + 74577*T1^5*T2^3 - 35869*T1^6*T2^3 - 8025*T1^7*T2^3 + 
      7740*T2^4 + 36948*T1*T2^4 - 78396*T1^2*T2^4 + 3861*T1^3*T2^4 + 
      118884*T1^4*T2^4 - 104481*T1^5*T2^4 + 8562*T1^6*T2^4 + 
      22908*T1^7*T2^4 + 828*T1^8*T2^4 - 19257*T1*T2^5 + 635*T1^2*T2^5 + 
      74577*T1^3*T2^5 - 104481*T1^4*T2^5 + 25545*T1^5*T2^5 + 
      42402*T1^6*T2^5 - 28381*T1^7*T2^5 - 2409*T1^8*T2^5 + 19140*T1^2*T2^6 - 
      35869*T1^3*T2^6 + 8562*T1^4*T2^6 + 42402*T1^5*T2^6 - 48198*T1^6*T2^6 + 
      15611*T1^7*T2^6 + 3300*T1^8*T2^6 - 8025*T1^3*T2^7 + 22908*T1^4*T2^7 - 
      28381*T1^5*T2^7 + 15611*T1^6*T2^7 - 960*T1^7*T2^7 - 2409*T1^8*T2^7 + 
      828*T1^4*T2^8 - 2409*T1^5*T2^8 + 3300*T1^6*T2^8 - 2409*T1^7*T2^8 + 
      828*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 321] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 618*T1^2 + 923*T1^3 - 1033*T1^4 + 923*T1^5 - 
      618*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1871*T1^2*T2 - 
      1964*T1^3*T2 + 1211*T1^4*T2 - 189*T1^5*T2 - 864*T1^6*T2 + 
      1231*T1^7*T2 - 924*T1^8*T2 + 243*T1^9*T2 - 618*T2^2 + 1871*T1*T2^2 - 
      1193*T1^2*T2^2 - 848*T1^3*T2^2 + 3555*T1^4*T2^2 - 4761*T1^5*T2^2 + 
      4875*T1^6*T2^2 - 2872*T1^7*T2^2 + 567*T1^8*T2^2 + 991*T1^9*T2^2 - 
      442*T1^10*T2^2 + 923*T2^3 - 1964*T1*T2^3 - 848*T1^2*T2^3 + 
      3404*T1^3*T2^3 - 5014*T1^4*T2^3 + 3182*T1^5*T2^3 - 1328*T1^6*T2^3 - 
      2220*T1^7*T2^3 + 3294*T1^8*T2^3 - 2564*T1^9*T2^3 - 424*T1^10*T2^3 + 
      527*T1^11*T2^3 - 1033*T2^4 + 1211*T1*T2^4 + 3555*T1^2*T2^4 - 
      5014*T1^3*T2^4 + 5389*T1^4*T2^4 - 2325*T1^5*T2^4 + 1839*T1^6*T2^4 + 
      767*T1^7*T2^4 + 569*T1^8*T2^4 - 1582*T1^9*T2^4 + 3467*T1^10*T2^4 - 
      429*T1^11*T2^4 - 441*T1^12*T2^4 + 923*T2^5 - 189*T1*T2^5 - 
      4761*T1^2*T2^5 + 3182*T1^3*T2^5 - 2325*T1^4*T2^5 - 808*T1^5*T2^5 - 
      819*T1^6*T2^5 - 1149*T1^7*T2^5 - 1498*T1^8*T2^5 + 1083*T1^9*T2^5 - 
      1636*T1^10*T2^5 - 2373*T1^11*T2^5 + 891*T1^12*T2^5 + 263*T1^13*T2^5 - 
      618*T2^6 - 864*T1*T2^6 + 4875*T1^2*T2^6 - 1328*T1^3*T2^6 + 
      1839*T1^4*T2^6 - 819*T1^5*T2^6 + 4162*T1^6*T2^6 - 1516*T1^7*T2^6 + 
      3502*T1^8*T2^6 - 775*T1^9*T2^6 + 607*T1^10*T2^6 + 2720*T1^11*T2^6 + 
      739*T1^12*T2^6 - 864*T1^13*T2^6 - 90*T1^14*T2^6 + 283*T2^7 + 
      1231*T1*T2^7 - 2872*T1^2*T2^7 - 2220*T1^3*T2^7 + 767*T1^4*T2^7 - 
      1149*T1^5*T2^7 - 1516*T1^6*T2^7 - 1645*T1^7*T2^7 - 845*T1^8*T2^7 - 
      1307*T1^9*T2^7 - 71*T1^10*T2^7 - 1377*T1^11*T2^7 - 2462*T1^12*T2^7 + 
      692*T1^13*T2^7 + 431*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      924*T1*T2^8 + 567*T1^2*T2^8 + 3294*T1^3*T2^8 + 569*T1^4*T2^8 - 
      1498*T1^5*T2^8 + 3502*T1^6*T2^8 - 845*T1^7*T2^8 + 3240*T1^8*T2^8 - 
      1023*T1^9*T2^8 + 2072*T1^10*T2^8 - 682*T1^11*T2^8 + 2765*T1^12*T2^8 + 
      434*T1^13*T2^8 - 857*T1^14*T2^8 - 44*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 991*T1^2*T2^9 - 2564*T1^3*T2^9 - 1582*T1^4*T2^9 + 
      1083*T1^5*T2^9 - 775*T1^6*T2^9 - 1307*T1^7*T2^9 - 1023*T1^8*T2^9 - 
      223*T1^9*T2^9 - 1098*T1^10*T2^9 + 303*T1^11*T2^9 - 1061*T1^12*T2^9 - 
      1824*T1^13*T2^9 + 1000*T1^14*T2^9 + 191*T1^15*T2^9 - 37*T1^16*T2^9 - 
      442*T1^2*T2^10 - 424*T1^3*T2^10 + 3467*T1^4*T2^10 - 1636*T1^5*T2^10 + 
      607*T1^6*T2^10 - 71*T1^7*T2^10 + 2072*T1^8*T2^10 - 1098*T1^9*T2^10 + 
      1412*T1^10*T2^10 - 27*T1^11*T2^10 - 625*T1^12*T2^10 + 
      2412*T1^13*T2^10 - 669*T1^14*T2^10 - 424*T1^15*T2^10 + 86*T1^16*T2^10 + 
      527*T1^3*T2^11 - 429*T1^4*T2^11 - 2373*T1^5*T2^11 + 2720*T1^6*T2^11 - 
      1377*T1^7*T2^11 - 682*T1^8*T2^11 + 303*T1^9*T2^11 - 27*T1^10*T2^11 - 
      1372*T1^11*T2^11 + 2031*T1^12*T2^11 - 2098*T1^13*T2^11 + 
      15*T1^14*T2^11 + 651*T1^15*T2^11 - 133*T1^16*T2^11 - 441*T1^4*T2^12 + 
      891*T1^5*T2^12 + 739*T1^6*T2^12 - 2462*T1^7*T2^12 + 2765*T1^8*T2^12 - 
      1061*T1^9*T2^12 - 625*T1^10*T2^12 + 2031*T1^11*T2^12 - 
      2055*T1^12*T2^12 + 970*T1^13*T2^12 + 651*T1^14*T2^12 - 
      749*T1^15*T2^12 + 151*T1^16*T2^12 + 263*T1^5*T2^13 - 864*T1^6*T2^13 + 
      692*T1^7*T2^13 + 434*T1^8*T2^13 - 1824*T1^9*T2^13 + 2412*T1^10*T2^13 - 
      2098*T1^11*T2^13 + 970*T1^12*T2^13 + 324*T1^13*T2^13 - 
      1024*T1^14*T2^13 + 676*T1^15*T2^13 - 133*T1^16*T2^13 - 90*T1^6*T2^14 + 
      431*T1^7*T2^14 - 857*T1^8*T2^14 + 1000*T1^9*T2^14 - 669*T1^10*T2^14 + 
      15*T1^11*T2^14 + 651*T1^12*T2^14 - 1024*T1^13*T2^14 + 903*T1^14*T2^14 - 
      449*T1^15*T2^14 + 86*T1^16*T2^14 + 3*T1^7*T2^15 - 44*T1^8*T2^15 + 
      191*T1^9*T2^15 - 424*T1^10*T2^15 + 651*T1^11*T2^15 - 749*T1^12*T2^15 + 
      676*T1^13*T2^15 - 449*T1^14*T2^15 + 196*T1^15*T2^15 - 37*T1^16*T2^15 + 
      7*T1^8*T2^16 - 37*T1^9*T2^16 + 86*T1^10*T2^16 - 133*T1^11*T2^16 + 
      151*T1^12*T2^16 - 133*T1^13*T2^16 + 86*T1^14*T2^16 - 37*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 322] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1668*T1 - 3476*T1^2 + 4376*T1^3 - 3476*T1^4 + 1668*T1^5 - 
      336*T1^6 + 1668*T2 - 6944*T1*T2 + 10612*T1^2*T2 - 7850*T1^3*T2 - 
      250*T1^4*T2 + 5652*T1^5*T2 - 5024*T1^6*T2 + 1348*T1^7*T2 - 3476*T2^2 + 
      10612*T1*T2^2 - 5046*T1^2*T2^2 - 13282*T1^3*T2^2 + 29244*T1^4*T2^2 - 
      24370*T1^5*T2^2 + 7722*T1^6*T2^2 + 3892*T1^7*T2^2 - 2132*T1^8*T2^2 + 
      4376*T2^3 - 7850*T1*T2^3 - 13282*T1^2*T2^3 + 37160*T1^3*T2^3 - 
      36662*T1^4*T2^3 + 3706*T1^5*T2^3 + 21332*T1^6*T2^3 - 19834*T1^7*T2^3 + 
      1510*T1^8*T2^3 + 1832*T1^9*T2^3 - 3476*T2^4 - 250*T1*T2^4 + 
      29244*T1^2*T2^4 - 36662*T1^3*T2^4 + 7723*T1^4*T2^4 + 35651*T1^5*T2^4 - 
      36701*T1^6*T2^4 + 8282*T1^7*T2^4 + 15068*T1^8*T2^4 - 5210*T1^9*T2^4 - 
      788*T1^10*T2^4 + 1668*T2^5 + 5652*T1*T2^5 - 24370*T1^2*T2^5 + 
      3706*T1^3*T2^5 + 35651*T1^4*T2^5 - 51832*T1^5*T2^5 + 12998*T1^6*T2^5 + 
      24479*T1^7*T2^5 - 27510*T1^8*T2^5 + 326*T1^9*T2^5 + 3572*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5024*T1*T2^6 + 7722*T1^2*T2^6 + 
      21332*T1^3*T2^6 - 36701*T1^4*T2^6 + 12998*T1^5*T2^6 + 35700*T1^6*T2^6 - 
      44546*T1^7*T2^6 + 16595*T1^8*T2^6 + 12884*T1^9*T2^6 - 6134*T1^10*T2^6 - 
      544*T1^11*T2^6 + 48*T1^12*T2^6 + 1348*T1*T2^7 + 3892*T1^2*T2^7 - 
      19834*T1^3*T2^7 + 8282*T1^4*T2^7 + 24479*T1^5*T2^7 - 44546*T1^6*T2^7 + 
      20284*T1^7*T2^7 + 13307*T1^8*T2^7 - 22934*T1^9*T2^7 + 4862*T1^10*T2^7 + 
      1812*T1^11*T2^7 - 252*T1^12*T2^7 - 2132*T1^2*T2^8 + 1510*T1^3*T2^8 + 
      15068*T1^4*T2^8 - 27510*T1^5*T2^8 + 16595*T1^6*T2^8 + 13307*T1^7*T2^8 - 
      27829*T1^8*T2^8 + 17434*T1^9*T2^8 + 892*T1^10*T2^8 - 3450*T1^11*T2^8 + 
      556*T1^12*T2^8 + 1832*T1^3*T2^9 - 5210*T1^4*T2^9 + 326*T1^5*T2^9 + 
      12884*T1^6*T2^9 - 22934*T1^7*T2^9 + 17434*T1^8*T2^9 - 2944*T1^9*T2^9 - 
      6226*T1^10*T2^9 + 4150*T1^11*T2^9 - 712*T1^12*T2^9 - 788*T1^4*T2^10 + 
      3572*T1^5*T2^10 - 6134*T1^6*T2^10 + 4862*T1^7*T2^10 + 892*T1^8*T2^10 - 
      6226*T1^9*T2^10 + 6634*T1^10*T2^10 - 3148*T1^11*T2^10 + 
      556*T1^12*T2^10 + 68*T1^5*T2^11 - 544*T1^6*T2^11 + 1812*T1^7*T2^11 - 
      3450*T1^8*T2^11 + 4150*T1^9*T2^11 - 3148*T1^10*T2^11 + 
      1376*T1^11*T2^11 - 252*T1^12*T2^11 + 48*T1^6*T2^12 - 252*T1^7*T2^12 + 
      556*T1^8*T2^12 - 712*T1^9*T2^12 + 556*T1^10*T2^12 - 252*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 323] -> 
  {(1 - 8*T + 28*T^2 - 55*T^3 + 69*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 220*T1^3 - 276*T1^4 + 220*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 703*T1^2*T2 - 1085*T1^3*T2 + 
     886*T1^4*T2 - 106*T1^5*T2 - 421*T1^6*T2 + 415*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 703*T1*T2^2 - 1650*T1^2*T2^2 + 1229*T1^3*T2^2 + 
     1239*T1^4*T2^2 - 3960*T1^5*T2^2 + 3535*T1^6*T2^2 - 1403*T1^7*T2^2 - 
     138*T1^8*T2^2 + 255*T1^9*T2^2 - 56*T1^10*T2^2 + 220*T2^3 - 
     1085*T1*T2^3 + 1229*T1^2*T2^3 + 3141*T1^3*T2^3 - 9553*T1^4*T2^3 + 
     11084*T1^5*T2^3 - 2997*T1^6*T2^3 - 3666*T1^7*T2^3 + 4317*T1^8*T2^3 - 
     1375*T1^9*T2^3 + 11*T1^10*T2^3 + 55*T1^11*T2^3 - 276*T2^4 + 
     886*T1*T2^4 + 1239*T1^2*T2^4 - 9553*T1^3*T2^4 + 13071*T1^4*T2^4 - 
     2194*T1^5*T2^4 - 18631*T1^6*T2^4 + 20914*T1^7*T2^4 - 9521*T1^8*T2^4 - 
     973*T1^9*T2^4 + 1927*T1^10*T2^4 - 442*T1^11*T2^4 + 220*T2^5 - 
     106*T1*T2^5 - 3960*T1^2*T2^5 + 11084*T1^3*T2^5 - 2194*T1^4*T2^5 - 
     23533*T1^5*T2^5 + 42890*T1^6*T2^5 - 20522*T1^7*T2^5 - 7825*T1^8*T2^5 + 
     16127*T1^9*T2^5 - 6299*T1^10*T2^5 + 48*T1^11*T2^5 + 438*T1^12*T2^5 - 
     55*T1^13*T2^5 - 112*T2^6 - 421*T1*T2^6 + 3535*T1^2*T2^6 - 
     2997*T1^3*T2^6 - 18631*T1^4*T2^6 + 42890*T1^5*T2^6 - 34668*T1^6*T2^6 - 
     19164*T1^7*T2^6 + 45572*T1^8*T2^6 - 28278*T1^9*T2^6 + 489*T1^10*T2^6 + 
     6131*T1^11*T2^6 - 1977*T1^12*T2^6 - 5*T1^13*T2^6 + 56*T1^14*T2^6 + 
     32*T2^7 + 415*T1*T2^7 - 1403*T1^2*T2^7 - 3666*T1^3*T2^7 + 
     20914*T1^4*T2^7 - 20522*T1^5*T2^7 - 19164*T1^6*T2^7 + 70585*T1^7*T2^7 - 
     56351*T1^8*T2^7 + 1233*T1^9*T2^7 + 27378*T1^10*T2^7 - 16555*T1^11*T2^7 + 
     1219*T1^12*T2^7 + 1369*T1^13*T2^7 - 257*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 138*T1^2*T2^8 + 4317*T1^3*T2^8 - 9521*T1^4*T2^8 - 
     7825*T1^5*T2^8 + 45572*T1^6*T2^8 - 56351*T1^7*T2^8 + 2016*T1^8*T2^8 + 
     54611*T1^9*T2^8 - 46426*T1^10*T2^8 + 9101*T1^11*T2^8 + 9319*T1^12*T2^8 - 
     4409*T1^13*T2^8 + 150*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 255*T1^2*T2^9 - 1375*T1^3*T2^9 - 973*T1^4*T2^9 + 
     16127*T1^5*T2^9 - 28278*T1^6*T2^9 + 1233*T1^7*T2^9 + 54611*T1^8*T2^9 - 
     72325*T1^9*T2^9 + 21630*T1^10*T2^9 + 19622*T1^11*T2^9 - 
     21342*T1^12*T2^9 + 3912*T1^13*T2^9 + 1397*T1^14*T2^9 - 417*T1^15*T2^9 - 
     32*T1^16*T2^9 - 56*T1^2*T2^10 + 11*T1^3*T2^10 + 1927*T1^4*T2^10 - 
     6299*T1^5*T2^10 + 489*T1^6*T2^10 + 27378*T1^7*T2^10 - 46426*T1^8*T2^10 + 
     21630*T1^9*T2^10 + 33814*T1^10*T2^10 - 43790*T1^11*T2^10 + 
     19609*T1^12*T2^10 + 2829*T1^13*T2^10 - 3585*T1^14*T2^10 + 
     427*T1^15*T2^10 + 112*T1^16*T2^10 + 55*T1^3*T2^11 - 442*T1^4*T2^11 + 
     48*T1^5*T2^11 + 6131*T1^6*T2^11 - 16555*T1^7*T2^11 + 9101*T1^8*T2^11 + 
     19622*T1^9*T2^11 - 43790*T1^10*T2^11 + 24809*T1^11*T2^11 + 
     1766*T1^12*T2^11 - 11252*T1^13*T2^11 + 4056*T1^14*T2^11 + 
     102*T1^15*T2^11 - 220*T1^16*T2^11 + 438*T1^5*T2^12 - 1977*T1^6*T2^12 + 
     1219*T1^7*T2^12 + 9319*T1^8*T2^12 - 21342*T1^9*T2^12 + 
     19609*T1^10*T2^12 + 1766*T1^11*T2^12 - 13273*T1^12*T2^12 + 
     9799*T1^13*T2^12 - 1289*T1^14*T2^12 - 890*T1^15*T2^12 + 
     276*T1^16*T2^12 - 55*T1^5*T2^13 - 5*T1^6*T2^13 + 1369*T1^7*T2^13 - 
     4409*T1^8*T2^13 + 3912*T1^9*T2^13 + 2829*T1^10*T2^13 - 
     11252*T1^11*T2^13 + 9799*T1^12*T2^13 - 3233*T1^13*T2^13 - 
     1235*T1^14*T2^13 + 1091*T1^15*T2^13 - 220*T1^16*T2^13 + 56*T1^6*T2^14 - 
     257*T1^7*T2^14 + 150*T1^8*T2^14 + 1397*T1^9*T2^14 - 3585*T1^10*T2^14 + 
     4056*T1^11*T2^14 - 1289*T1^12*T2^14 - 1235*T1^13*T2^14 + 
     1662*T1^14*T2^14 - 705*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 417*T1^9*T2^15 + 427*T1^10*T2^15 + 102*T1^11*T2^15 - 
     890*T1^12*T2^15 + 1091*T1^13*T2^15 - 705*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     220*T1^11*T2^16 + 276*T1^12*T2^16 - 220*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 324] -> 
  {-((1 - 8*T + 26*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 147*T1^3 - 177*T1^4 + 147*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 497*T1^2*T2 - 
      763*T1^3*T2 + 634*T1^4*T2 - 230*T1^5*T2 - 163*T1^6*T2 + 225*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 497*T1*T2^2 - 1030*T1^2*T2^2 + 
      685*T1^3*T2^2 + 1056*T1^4*T2^2 - 2542*T1^5*T2^2 + 2772*T1^6*T2^2 - 
      1447*T1^7*T2^2 + 270*T1^8*T2^2 + 81*T1^9*T2^2 - 26*T1^10*T2^2 + 
      147*T2^3 - 763*T1*T2^3 + 685*T1^2*T2^3 + 2027*T1^3*T2^3 - 
      6447*T1^4*T2^3 + 7205*T1^5*T2^3 - 4234*T1^6*T2^3 - 696*T1^7*T2^3 + 
      2305*T1^8*T2^3 - 1265*T1^9*T2^3 + 205*T1^10*T2^3 - 177*T2^4 + 
      634*T1*T2^4 + 1056*T1^2*T2^4 - 6447*T1^3*T2^4 + 10626*T1^4*T2^4 - 
      4924*T1^5*T2^4 - 4432*T1^6*T2^4 + 11272*T1^7*T2^4 - 7830*T1^8*T2^4 + 
      1589*T1^9*T2^4 + 920*T1^10*T2^4 - 470*T1^11*T2^4 + 59*T1^12*T2^4 + 
      147*T2^5 - 230*T1*T2^5 - 2542*T1^2*T2^5 + 7205*T1^3*T2^5 - 
      4924*T1^4*T2^5 - 10381*T1^5*T2^5 + 20920*T1^6*T2^5 - 18802*T1^7*T2^5 + 
      2547*T1^8*T2^5 + 8105*T1^9*T2^5 - 6140*T1^10*T2^5 + 1142*T1^11*T2^5 + 
      314*T1^12*T2^5 - 98*T1^13*T2^5 - 78*T2^6 - 163*T1*T2^6 + 
      2772*T1^2*T2^6 - 4234*T1^3*T2^6 - 4432*T1^4*T2^6 + 20920*T1^5*T2^6 - 
      19630*T1^6*T2^6 + 676*T1^7*T2^6 + 21226*T1^8*T2^6 - 21568*T1^9*T2^6 + 
      4640*T1^10*T2^6 + 4346*T1^11*T2^6 - 2648*T1^12*T2^6 + 157*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 225*T1*T2^7 - 1447*T1^2*T2^7 - 
      696*T1^3*T2^7 + 11272*T1^4*T2^7 - 18802*T1^5*T2^7 + 676*T1^6*T2^7 + 
      26743*T1^7*T2^7 - 33691*T1^8*T2^7 + 11971*T1^9*T2^7 + 
      15388*T1^10*T2^7 - 14425*T1^11*T2^7 + 2693*T1^12*T2^7 + 
      1595*T1^13*T2^7 - 367*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 270*T1^2*T2^8 + 2305*T1^3*T2^8 - 7830*T1^4*T2^8 + 
      2547*T1^5*T2^8 + 21226*T1^6*T2^8 - 33691*T1^7*T2^8 + 9804*T1^8*T2^8 + 
      23447*T1^9*T2^8 - 37432*T1^10*T2^8 + 12365*T1^11*T2^8 + 
      5714*T1^12*T2^8 - 4933*T1^13*T2^8 + 110*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 81*T1^2*T2^9 - 1265*T1^3*T2^9 + 
      1589*T1^4*T2^9 + 8105*T1^5*T2^9 - 21568*T1^6*T2^9 + 11971*T1^7*T2^9 + 
      23447*T1^8*T2^9 - 36987*T1^9*T2^9 + 23266*T1^10*T2^9 + 
      12622*T1^11*T2^9 - 17592*T1^12*T2^9 + 4978*T1^13*T2^9 + 
      1777*T1^14*T2^9 - 511*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      205*T1^3*T2^10 + 920*T1^4*T2^10 - 6140*T1^5*T2^10 + 4640*T1^6*T2^10 + 
      15388*T1^7*T2^10 - 37432*T1^8*T2^10 + 23266*T1^9*T2^10 + 
      3424*T1^10*T2^10 - 27100*T1^11*T2^10 + 13712*T1^12*T2^10 + 
      2440*T1^13*T2^10 - 4500*T1^14*T2^10 + 525*T1^15*T2^10 + 
      130*T1^16*T2^10 - 470*T1^4*T2^11 + 1142*T1^5*T2^11 + 4346*T1^6*T2^11 - 
      14425*T1^7*T2^11 + 12365*T1^8*T2^11 + 12622*T1^9*T2^11 - 
      27100*T1^10*T2^11 + 25293*T1^11*T2^11 - 1396*T1^12*T2^11 - 
      8999*T1^13*T2^11 + 4826*T1^14*T2^11 + 74*T1^15*T2^11 - 
      245*T1^16*T2^11 + 59*T1^4*T2^12 + 314*T1^5*T2^12 - 2648*T1^6*T2^12 + 
      2693*T1^7*T2^12 + 5714*T1^8*T2^12 - 17592*T1^9*T2^12 + 
      13712*T1^10*T2^12 - 1396*T1^11*T2^12 - 12742*T1^12*T2^12 + 
      10729*T1^13*T2^12 - 2784*T1^14*T2^12 - 790*T1^15*T2^12 + 
      295*T1^16*T2^12 - 98*T1^5*T2^13 + 157*T1^6*T2^13 + 1595*T1^7*T2^13 - 
      4933*T1^8*T2^13 + 4978*T1^9*T2^13 + 2440*T1^10*T2^13 - 
      8999*T1^11*T2^13 + 10729*T1^12*T2^13 - 4655*T1^13*T2^13 - 
      355*T1^14*T2^13 + 1125*T1^15*T2^13 - 245*T1^16*T2^13 + 78*T1^6*T2^14 - 
      367*T1^7*T2^14 + 110*T1^8*T2^14 + 1777*T1^9*T2^14 - 4500*T1^10*T2^14 + 
      4826*T1^11*T2^14 - 2784*T1^12*T2^14 - 355*T1^13*T2^14 + 
      1410*T1^14*T2^14 - 783*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 511*T1^9*T2^15 + 525*T1^10*T2^15 + 74*T1^11*T2^15 - 
      790*T1^12*T2^15 + 1125*T1^13*T2^15 - 783*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 245*T1^11*T2^16 + 295*T1^12*T2^16 - 245*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 325] -> 
  {-(((1 - T + T^2)*(-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^4), 
   -((-3 + 24*T1 - 81*T1^2 + 159*T1^3 - 195*T1^4 + 159*T1^5 - 81*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 521*T1^2*T2 - 843*T1^3*T2 + 
      714*T1^4*T2 - 230*T1^5*T2 - 203*T1^6*T2 + 241*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 81*T2^2 + 521*T1*T2^2 - 1191*T1^2*T2^2 + 1034*T1^3*T2^2 + 
      868*T1^4*T2^2 - 2707*T1^5*T2^2 + 2920*T1^6*T2^2 - 1396*T1^7*T2^2 + 
      213*T1^8*T2^2 + 89*T1^9*T2^2 - 27*T1^10*T2^2 + 159*T2^3 - 843*T1*T2^3 + 
      1034*T1^2*T2^3 + 1625*T1^3*T2^3 - 6976*T1^4*T2^3 + 8322*T1^5*T2^3 - 
      4446*T1^6*T2^3 - 1303*T1^7*T2^3 + 2651*T1^8*T2^3 - 1315*T1^9*T2^3 + 
      213*T1^10*T2^3 - 195*T2^4 + 714*T1*T2^4 + 868*T1^2*T2^4 - 
      6976*T1^3*T2^4 + 12953*T1^4*T2^4 - 6448*T1^5*T2^4 - 6297*T1^6*T2^4 + 
      14076*T1^7*T2^4 - 8567*T1^8*T2^4 + 1292*T1^9*T2^4 + 1104*T1^10*T2^4 - 
      518*T1^11*T2^4 + 65*T1^12*T2^4 + 159*T2^5 - 230*T1*T2^5 - 
      2707*T1^2*T2^5 + 8322*T1^3*T2^5 - 6448*T1^4*T2^5 - 13654*T1^5*T2^5 + 
      29222*T1^6*T2^5 - 24111*T1^7*T2^5 + 1256*T1^8*T2^5 + 10482*T1^9*T2^5 - 
      6874*T1^10*T2^5 + 1187*T1^11*T2^5 + 330*T1^12*T2^5 - 106*T1^13*T2^5 - 
      81*T2^6 - 203*T1*T2^6 + 2920*T1^2*T2^6 - 4446*T1^3*T2^6 - 
      6297*T1^4*T2^6 + 29222*T1^5*T2^6 - 28446*T1^6*T2^6 - 1934*T1^7*T2^6 + 
      32826*T1^8*T2^6 - 28770*T1^9*T2^6 + 5605*T1^10*T2^6 + 4680*T1^11*T2^6 - 
      2764*T1^12*T2^6 + 197*T1^13*T2^6 + 81*T1^14*T2^6 + 24*T2^7 + 
      241*T1*T2^7 - 1396*T1^2*T2^7 - 1303*T1^3*T2^7 + 14076*T1^4*T2^7 - 
      24111*T1^5*T2^7 - 1934*T1^6*T2^7 + 45782*T1^7*T2^7 - 54584*T1^8*T2^7 + 
      17085*T1^9*T2^7 + 19904*T1^10*T2^7 - 17230*T1^11*T2^7 + 
      3404*T1^12*T2^7 + 1439*T1^13*T2^7 - 391*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 213*T1^2*T2^8 + 2651*T1^3*T2^8 - 
      8567*T1^4*T2^8 + 1256*T1^5*T2^8 + 32826*T1^6*T2^8 - 54584*T1^7*T2^8 + 
      17508*T1^8*T2^8 + 37600*T1^9*T2^8 - 53496*T1^10*T2^8 + 
      17312*T1^11*T2^8 + 5389*T1^12*T2^8 - 5115*T1^13*T2^8 + 273*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 89*T1^2*T2^9 - 
      1315*T1^3*T2^9 + 1292*T1^4*T2^9 + 10482*T1^5*T2^9 - 28770*T1^6*T2^9 + 
      17085*T1^7*T2^9 + 37600*T1^8*T2^9 - 62766*T1^9*T2^9 + 
      36104*T1^10*T2^9 + 15245*T1^11*T2^9 - 20824*T1^12*T2^9 + 
      5999*T1^13*T2^9 + 1520*T1^14*T2^9 - 543*T1^15*T2^9 - 40*T1^16*T2^9 - 
      27*T1^2*T2^10 + 213*T1^3*T2^10 + 1104*T1^4*T2^10 - 6874*T1^5*T2^10 + 
      5605*T1^6*T2^10 + 19904*T1^7*T2^10 - 53496*T1^8*T2^10 + 
      36104*T1^9*T2^10 + 7776*T1^10*T2^10 - 38088*T1^11*T2^10 + 
      17507*T1^12*T2^10 + 2252*T1^13*T2^10 - 4580*T1^14*T2^10 + 
      613*T1^15*T2^10 + 135*T1^16*T2^10 - 518*T1^4*T2^11 + 1187*T1^5*T2^11 + 
      4680*T1^6*T2^11 - 17230*T1^7*T2^11 + 17312*T1^8*T2^11 + 
      15245*T1^9*T2^11 - 38088*T1^10*T2^11 + 32222*T1^11*T2^11 - 
      300*T1^12*T2^11 - 10516*T1^13*T2^11 + 5081*T1^14*T2^11 + 
      42*T1^15*T2^11 - 265*T1^16*T2^11 + 65*T1^4*T2^12 + 330*T1^5*T2^12 - 
      2764*T1^6*T2^12 + 3404*T1^7*T2^12 + 5389*T1^8*T2^12 - 
      20824*T1^9*T2^12 + 17507*T1^10*T2^12 - 300*T1^11*T2^12 - 
      16131*T1^12*T2^12 + 11672*T1^13*T2^12 - 2528*T1^14*T2^12 - 
      902*T1^15*T2^12 + 325*T1^16*T2^12 - 106*T1^5*T2^13 + 197*T1^6*T2^13 + 
      1439*T1^7*T2^13 - 5115*T1^8*T2^13 + 5999*T1^9*T2^13 + 
      2252*T1^10*T2^13 - 10516*T1^11*T2^13 + 11672*T1^12*T2^13 - 
      4089*T1^13*T2^13 - 910*T1^14*T2^13 + 1253*T1^15*T2^13 - 
      265*T1^16*T2^13 + 81*T1^6*T2^14 - 391*T1^7*T2^14 + 273*T1^8*T2^14 + 
      1520*T1^9*T2^14 - 4580*T1^10*T2^14 + 5081*T1^11*T2^14 - 
      2528*T1^12*T2^14 - 910*T1^13*T2^14 + 1677*T1^14*T2^14 - 
      823*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      543*T1^9*T2^15 + 613*T1^10*T2^15 + 42*T1^11*T2^15 - 902*T1^12*T2^15 + 
      1253*T1^13*T2^15 - 823*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 135*T1^10*T2^16 - 265*T1^11*T2^16 + 
      325*T1^12*T2^16 - 265*T1^13*T2^16 + 135*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 326] -> 
  {(3 - 19*T + 51*T^2 - 69*T^3 + 51*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 704*T1 - 1893*T1^2 + 2561*T1^3 - 1893*T1^4 + 704*T1^5 - 111*T1^6 + 
     704*T2 - 3933*T1*T2 + 8627*T1^2*T2 - 7146*T1^3*T2 - 306*T1^4*T2 + 
     4637*T1^5*T2 - 2679*T1^6*T2 + 533*T1^7*T2 - 1893*T2^2 + 8627*T1*T2^2 - 
     11769*T1^2*T2^2 - 8051*T1^3*T2^2 + 29447*T1^4*T2^2 - 23351*T1^5*T2^2 + 
     2919*T1^6*T2^2 + 2813*T1^7*T2^2 - 975*T1^8*T2^2 + 2561*T2^3 - 
     7146*T1*T2^3 - 8051*T1^2*T2^3 + 58256*T1^3*T2^3 - 65449*T1^4*T2^3 + 
     7361*T1^5*T2^3 + 35138*T1^6*T2^3 - 18404*T1^7*T2^3 + 1746*T1^8*T2^3 + 
     698*T1^9*T2^3 - 1893*T2^4 - 306*T1*T2^4 + 29447*T1^2*T2^4 - 
     65449*T1^3*T2^4 - 6077*T1^4*T2^4 + 114211*T1^5*T2^4 - 107801*T1^6*T2^4 + 
     18179*T1^7*T2^4 + 10841*T1^8*T2^4 - 4068*T1^9*T2^4 - 57*T1^10*T2^4 + 
     704*T2^5 + 4637*T1*T2^5 - 23351*T1^2*T2^5 + 7361*T1^3*T2^5 + 
     114211*T1^4*T2^5 - 169369*T1^5*T2^5 + 55691*T1^6*T2^5 + 
     62650*T1^7*T2^5 - 43813*T1^8*T2^5 + 6790*T1^9*T2^5 + 1331*T1^10*T2^5 - 
     151*T1^11*T2^5 - 111*T2^6 - 2679*T1*T2^6 + 2919*T1^2*T2^6 + 
     35138*T1^3*T2^6 - 107801*T1^4*T2^6 + 55691*T1^5*T2^6 + 92964*T1^6*T2^6 - 
     136123*T1^7*T2^6 + 45013*T1^8*T2^6 + 6218*T1^9*T2^6 - 6157*T1^10*T2^6 + 
     627*T1^11*T2^6 + 51*T1^12*T2^6 + 533*T1*T2^7 + 2813*T1^2*T2^7 - 
     18404*T1^3*T2^7 + 18179*T1^4*T2^7 + 62650*T1^5*T2^7 - 136123*T1^6*T2^7 + 
     88937*T1^7*T2^7 + 11089*T1^8*T2^7 - 32995*T1^9*T2^7 + 11737*T1^10*T2^7 - 
     493*T1^11*T2^7 - 322*T1^12*T2^7 - 975*T1^2*T2^8 + 1746*T1^3*T2^8 + 
     10841*T1^4*T2^8 - 43813*T1^5*T2^8 + 45013*T1^6*T2^8 + 11089*T1^7*T2^8 - 
     56711*T1^8*T2^8 + 39815*T1^9*T2^8 - 7765*T1^10*T2^8 - 2016*T1^11*T2^8 + 
     861*T1^12*T2^8 + 698*T1^3*T2^9 - 4068*T1^4*T2^9 + 6790*T1^5*T2^9 + 
     6218*T1^6*T2^9 - 32995*T1^7*T2^9 + 39815*T1^8*T2^9 - 16900*T1^9*T2^9 - 
     3563*T1^10*T2^9 + 4824*T1^11*T2^9 - 1165*T1^12*T2^9 - 57*T1^4*T2^10 + 
     1331*T1^5*T2^10 - 6157*T1^6*T2^10 + 11737*T1^7*T2^10 - 7765*T1^8*T2^10 - 
     3563*T1^9*T2^10 + 8531*T1^10*T2^10 - 4483*T1^11*T2^10 + 
     861*T1^12*T2^10 - 151*T1^5*T2^11 + 627*T1^6*T2^11 - 493*T1^7*T2^11 - 
     2016*T1^8*T2^11 + 4824*T1^9*T2^11 - 4483*T1^10*T2^11 + 
     1881*T1^11*T2^11 - 322*T1^12*T2^11 + 51*T1^6*T2^12 - 322*T1^7*T2^12 + 
     861*T1^8*T2^12 - 1165*T1^9*T2^12 + 861*T1^10*T2^12 - 322*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 327] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-112 + 512*T1 - 1144*T1^2 + 1464*T1^3 - 1144*T1^4 + 512*T1^5 - 112*T1^6 + 
     512*T2 - 2110*T1*T2 + 4170*T1^2*T2 - 4332*T1^3*T2 + 2220*T1^4*T2 - 
     6*T1^5*T2 - 526*T1^6*T2 + 224*T1^7*T2 - 1144*T2^2 + 4170*T1*T2^2 - 
     6659*T1^2*T2^2 + 3507*T1^3*T2^2 + 3395*T1^4*T2^2 - 7053*T1^5*T2^2 + 
     4861*T1^6*T2^2 - 1590*T1^7*T2^2 + 136*T1^8*T2^2 + 1464*T2^3 - 
     4332*T1*T2^3 + 3507*T1^2*T2^3 + 6328*T1^3*T2^3 - 16354*T1^4*T2^3 + 
     13670*T1^5*T2^3 - 1772*T1^6*T2^3 - 5133*T1^7*T2^3 + 3804*T1^8*T2^3 - 
     984*T1^9*T2^3 - 1144*T2^4 + 2220*T1*T2^4 + 3395*T1^2*T2^4 - 
     16354*T1^3*T2^4 + 20244*T1^4*T2^4 - 2158*T1^5*T2^4 - 17304*T1^6*T2^4 + 
     17102*T1^7*T2^4 - 4053*T1^8*T2^4 - 1956*T1^9*T2^4 + 1416*T1^10*T2^4 + 
     512*T2^5 - 6*T1*T2^5 - 7053*T1^2*T2^5 + 13670*T1^3*T2^5 - 
     2158*T1^4*T2^5 - 29368*T1^5*T2^5 + 38912*T1^6*T2^5 - 16078*T1^7*T2^5 - 
     9490*T1^8*T2^5 + 9267*T1^9*T2^5 - 2166*T1^10*T2^5 - 928*T1^11*T2^5 - 
     112*T2^6 - 526*T1*T2^6 + 4861*T1^2*T2^6 - 1772*T1^3*T2^6 - 
     17304*T1^4*T2^6 + 38912*T1^5*T2^6 - 18084*T1^6*T2^6 - 21760*T1^7*T2^6 + 
     35640*T1^8*T2^6 - 12428*T1^9*T2^6 - 1827*T1^10*T2^6 + 2930*T1^11*T2^6 + 
     272*T1^12*T2^6 + 224*T1*T2^7 - 1590*T1^2*T2^7 - 5133*T1^3*T2^7 + 
     17102*T1^4*T2^7 - 16078*T1^5*T2^7 - 21760*T1^6*T2^7 + 46520*T1^7*T2^7 - 
     29998*T1^8*T2^7 - 6058*T1^9*T2^7 + 11187*T1^10*T2^7 - 3750*T1^11*T2^7 - 
     1216*T1^12*T2^7 + 136*T1^2*T2^8 + 3804*T1^3*T2^8 - 4053*T1^4*T2^8 - 
     9490*T1^5*T2^8 + 35640*T1^6*T2^8 - 29998*T1^7*T2^8 - 1908*T1^8*T2^8 + 
     23966*T1^9*T2^8 - 11501*T1^10*T2^8 - 372*T1^11*T2^8 + 2696*T1^12*T2^8 - 
     984*T1^3*T2^9 - 1956*T1^4*T2^9 + 9267*T1^5*T2^9 - 12428*T1^6*T2^9 - 
     6058*T1^7*T2^9 + 23966*T1^8*T2^9 - 20528*T1^9*T2^9 + 627*T1^10*T2^9 + 
     6180*T1^11*T2^9 - 3432*T1^12*T2^9 + 1416*T1^4*T2^10 - 2166*T1^5*T2^10 - 
     1827*T1^6*T2^10 + 11187*T1^7*T2^10 - 11501*T1^8*T2^10 + 627*T1^9*T2^10 + 
     9693*T1^10*T2^10 - 7926*T1^11*T2^10 + 2696*T1^12*T2^10 - 
     928*T1^5*T2^11 + 2930*T1^6*T2^11 - 3750*T1^7*T2^11 - 372*T1^8*T2^11 + 
     6180*T1^9*T2^11 - 7926*T1^10*T2^11 + 4514*T1^11*T2^11 - 
     1216*T1^12*T2^11 + 272*T1^6*T2^12 - 1216*T1^7*T2^12 + 2696*T1^8*T2^12 - 
     3432*T1^9*T2^12 + 2696*T1^10*T2^12 - 1216*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 328] -> 
  {-((1 - 8*T + 27*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 135*T1^2 + 260*T1^3 - 315*T1^4 + 260*T1^5 - 
      135*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 
      1216*T1^3*T2 + 856*T1^4*T2 - 64*T1^5*T2 - 584*T1^6*T2 + 544*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1677*T1^2*T2^2 + 
      751*T1^3*T2^2 + 2632*T1^4*T2^2 - 4915*T1^5*T2^2 + 4576*T1^6*T2^2 - 
      1625*T1^7*T2^2 - 273*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 
      260*T2^3 - 1216*T1*T2^3 + 751*T1^2*T2^3 + 4750*T1^3*T2^3 - 
      11926*T1^4*T2^3 + 10070*T1^5*T2^3 - 2446*T1^6*T2^3 - 5938*T1^7*T2^3 + 
      5458*T1^8*T2^3 - 1517*T1^9*T2^3 - 184*T1^10*T2^3 + 104*T1^11*T2^3 - 
      315*T2^4 + 856*T1*T2^4 + 2632*T1^2*T2^4 - 11926*T1^3*T2^4 + 
      14263*T1^4*T2^4 + 3368*T1^5*T2^4 - 18571*T1^6*T2^4 + 22232*T1^7*T2^4 - 
      6721*T1^8*T2^4 - 3398*T1^9*T2^4 + 2780*T1^10*T2^4 - 328*T1^11*T2^4 - 
      63*T1^12*T2^4 + 260*T2^5 - 64*T1*T2^5 - 4915*T1^2*T2^5 + 
      10070*T1^3*T2^5 + 3368*T1^4*T2^5 - 34050*T1^5*T2^5 + 35792*T1^6*T2^5 - 
      15320*T1^7*T2^5 - 16706*T1^8*T2^5 + 17984*T1^9*T2^5 - 4598*T1^10*T2^5 - 
      1243*T1^11*T2^5 + 504*T1^12*T2^5 - 135*T2^6 - 584*T1*T2^6 + 
      4576*T1^2*T2^6 - 2446*T1^3*T2^6 - 18571*T1^4*T2^6 + 35792*T1^5*T2^6 - 
      3734*T1^6*T2^6 - 32790*T1^7*T2^6 + 49734*T1^8*T2^6 - 19152*T1^9*T2^6 - 
      6441*T1^10*T2^6 + 6842*T1^11*T2^6 - 960*T1^12*T2^6 - 216*T1^13*T2^6 + 
      27*T1^14*T2^6 + 40*T2^7 + 544*T1*T2^7 - 1625*T1^2*T2^7 - 
      5938*T1^3*T2^7 + 22232*T1^4*T2^7 - 15320*T1^5*T2^7 - 32790*T1^6*T2^7 + 
      50944*T1^7*T2^7 - 30344*T1^8*T2^7 - 17310*T1^9*T2^7 + 
      28128*T1^10*T2^7 - 9376*T1^11*T2^7 - 1766*T1^12*T2^7 + 
      1291*T1^13*T2^7 - 88*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 273*T1^2*T2^8 + 5458*T1^3*T2^8 - 6721*T1^4*T2^8 - 
      16706*T1^5*T2^8 + 49734*T1^6*T2^8 - 30344*T1^7*T2^8 - 15348*T1^8*T2^8 + 
      45960*T1^9*T2^8 - 27178*T1^10*T2^8 - 3954*T1^11*T2^8 + 
      9283*T1^12*T2^8 - 2510*T1^13*T2^8 - 213*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 1517*T1^3*T2^9 - 
      3398*T1^4*T2^9 + 17984*T1^5*T2^9 - 19152*T1^6*T2^9 - 17310*T1^7*T2^9 + 
      45960*T1^8*T2^9 - 35328*T1^9*T2^9 - 1830*T1^10*T2^9 + 
      24296*T1^11*T2^9 - 13624*T1^12*T2^9 + 774*T1^13*T2^9 + 
      1399*T1^14*T2^9 - 240*T1^15*T2^9 - 24*T1^16*T2^9 - 81*T1^2*T2^10 - 
      184*T1^3*T2^10 + 2780*T1^4*T2^10 - 4598*T1^5*T2^10 - 6441*T1^6*T2^10 + 
      28128*T1^7*T2^10 - 27178*T1^8*T2^10 - 1830*T1^9*T2^10 + 
      26290*T1^10*T2^10 - 26816*T1^11*T2^10 + 5689*T1^12*T2^10 + 
      4690*T1^13*T2^10 - 2756*T1^14*T2^10 + 184*T1^15*T2^10 + 
      81*T1^16*T2^10 + 104*T1^3*T2^11 - 328*T1^4*T2^11 - 1243*T1^5*T2^11 + 
      6842*T1^6*T2^11 - 9376*T1^7*T2^11 - 3954*T1^8*T2^11 + 
      24296*T1^9*T2^11 - 26816*T1^10*T2^11 + 13390*T1^11*T2^11 + 
      5240*T1^12*T2^11 - 7826*T1^13*T2^11 + 2429*T1^14*T2^11 + 
      240*T1^15*T2^11 - 156*T1^16*T2^11 - 63*T1^4*T2^12 + 504*T1^5*T2^12 - 
      960*T1^6*T2^12 - 1766*T1^7*T2^12 + 9283*T1^8*T2^12 - 13624*T1^9*T2^12 + 
      5689*T1^10*T2^12 + 5240*T1^11*T2^12 - 11701*T1^12*T2^12 + 
      6762*T1^13*T2^12 - 812*T1^14*T2^12 - 680*T1^15*T2^12 + 
      189*T1^16*T2^12 - 216*T1^6*T2^13 + 1291*T1^7*T2^13 - 2510*T1^8*T2^13 + 
      774*T1^9*T2^13 + 4690*T1^10*T2^13 - 7826*T1^11*T2^13 + 
      6762*T1^12*T2^13 - 1802*T1^13*T2^13 - 977*T1^14*T2^13 + 
      816*T1^15*T2^13 - 156*T1^16*T2^13 + 27*T1^6*T2^14 - 88*T1^7*T2^14 - 
      213*T1^8*T2^14 + 1399*T1^9*T2^14 - 2756*T1^10*T2^14 + 
      2429*T1^11*T2^14 - 812*T1^12*T2^14 - 977*T1^13*T2^14 + 
      1191*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 184*T1^10*T2^15 + 240*T1^11*T2^15 - 
      680*T1^12*T2^15 + 816*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      156*T1^11*T2^16 + 189*T1^12*T2^16 - 156*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 329] -> 
  {-((4 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-336 + 1420*T1 - 2568*T1^2 + 3056*T1^3 - 2568*T1^4 + 1420*T1^5 - 
      336*T1^6 + 1420*T2 - 4866*T1*T2 + 6042*T1^2*T2 - 4190*T1^3*T2 + 
      434*T1^4*T2 + 2778*T1^5*T2 - 3438*T1^6*T2 + 1148*T1^7*T2 - 2568*T2^2 + 
      6042*T1*T2^2 - 730*T1^2*T2^2 - 7282*T1^3*T2^2 + 12892*T1^4*T2^2 - 
      12242*T1^5*T2^2 + 5966*T1^6*T2^2 + 1826*T1^7*T2^2 - 1576*T1^8*T2^2 + 
      3056*T2^3 - 4190*T1*T2^3 - 7282*T1^2*T2^3 + 13285*T1^3*T2^3 - 
      11574*T1^4*T2^3 + 2950*T1^5*T2^3 + 6193*T1^6*T2^3 - 9979*T1^7*T2^3 + 
      1250*T1^8*T2^3 + 1280*T1^9*T2^3 - 2568*T2^4 + 434*T1*T2^4 + 
      12892*T1^2*T2^4 - 11574*T1^3*T2^4 + 4125*T1^4*T2^4 + 4603*T1^5*T2^4 - 
      7643*T1^6*T2^4 + 4040*T1^7*T2^4 + 6882*T1^8*T2^4 - 2966*T1^9*T2^4 - 
      584*T1^10*T2^4 + 1420*T2^5 + 2778*T1*T2^5 - 12242*T1^2*T2^5 + 
      2950*T1^3*T2^5 + 4603*T1^4*T2^5 - 6878*T1^5*T2^5 + 2370*T1^6*T2^5 + 
      3828*T1^7*T2^5 - 9394*T1^8*T2^5 - 493*T1^9*T2^5 + 2234*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3438*T1*T2^6 + 5966*T1^2*T2^6 + 
      6193*T1^3*T2^6 - 7643*T1^4*T2^6 + 2370*T1^5*T2^6 + 4284*T1^6*T2^6 - 
      6490*T1^7*T2^6 + 4455*T1^8*T2^6 + 5803*T1^9*T2^6 - 3022*T1^10*T2^6 - 
      446*T1^11*T2^6 + 48*T1^12*T2^6 + 1148*T1*T2^7 + 1826*T1^2*T2^7 - 
      9979*T1^3*T2^7 + 4040*T1^4*T2^7 + 3828*T1^5*T2^7 - 6490*T1^6*T2^7 + 
      2758*T1^7*T2^7 + 3053*T1^8*T2^7 - 8304*T1^9*T2^7 + 1770*T1^10*T2^7 + 
      1282*T1^11*T2^7 - 212*T1^12*T2^7 - 1576*T1^2*T2^8 + 1250*T1^3*T2^8 + 
      6882*T1^4*T2^8 - 9394*T1^5*T2^8 + 4455*T1^6*T2^8 + 3053*T1^7*T2^8 - 
      7313*T1^8*T2^8 + 6220*T1^9*T2^8 + 872*T1^10*T2^8 - 2150*T1^11*T2^8 + 
      408*T1^12*T2^8 + 1280*T1^3*T2^9 - 2966*T1^4*T2^9 - 493*T1^5*T2^9 + 
      5803*T1^6*T2^9 - 8304*T1^7*T2^9 + 6220*T1^8*T2^9 - 1289*T1^9*T2^9 - 
      3190*T1^10*T2^9 + 2474*T1^11*T2^9 - 496*T1^12*T2^9 - 584*T1^4*T2^10 + 
      2234*T1^5*T2^10 - 3022*T1^6*T2^10 + 1770*T1^7*T2^10 + 872*T1^8*T2^10 - 
      3190*T1^9*T2^10 + 3674*T1^10*T2^10 - 1982*T1^11*T2^10 + 
      408*T1^12*T2^10 + 60*T1^5*T2^11 - 446*T1^6*T2^11 + 1282*T1^7*T2^11 - 
      2150*T1^8*T2^11 + 2474*T1^9*T2^11 - 1982*T1^10*T2^11 + 
      982*T1^11*T2^11 - 212*T1^12*T2^11 + 48*T1^6*T2^12 - 212*T1^7*T2^12 + 
      408*T1^8*T2^12 - 496*T1^9*T2^12 + 408*T1^10*T2^12 - 212*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 330] -> {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((-747 + 2973*T1 - 4315*T1^2 + 2973*T1^3 - 747*T1^4 + 2973*T2 - 
      9738*T1*T2 + 8814*T1^2*T2 + 318*T1^3*T2 - 5418*T1^4*T2 + 2109*T1^5*T2 - 
      4315*T2^2 + 8814*T1*T2^2 + 6624*T1^2*T2^2 - 24160*T1^3*T2^2 + 
      18804*T1^4*T2^2 - 1266*T1^5*T2^2 - 1795*T1^6*T2^2 + 2973*T2^3 + 
      318*T1*T2^3 - 24160*T1^2*T2^3 + 30624*T1^3*T2^3 - 5976*T1^4*T2^3 - 
      14080*T1^5*T2^3 + 5646*T1^6*T2^3 + 381*T1^7*T2^3 - 747*T2^4 - 
      5418*T1*T2^4 + 18804*T1^2*T2^4 - 5976*T1^3*T2^4 - 20940*T1^4*T2^4 + 
      23976*T1^5*T2^4 - 3804*T1^6*T2^4 - 1962*T1^7*T2^4 + 117*T1^8*T2^4 + 
      2109*T1*T2^5 - 1266*T1^2*T2^5 - 14080*T1^3*T2^5 + 23976*T1^4*T2^5 - 
      12624*T1^5*T2^5 - 4000*T1^6*T2^5 + 4062*T1^7*T2^5 - 483*T1^8*T2^5 - 
      1795*T1^2*T2^6 + 5646*T1^3*T2^6 - 3804*T1^4*T2^6 - 4000*T1^5*T2^6 + 
      8376*T1^6*T2^6 - 4434*T1^7*T2^6 + 725*T1^8*T2^6 + 381*T1^3*T2^7 - 
      1962*T1^4*T2^7 + 4062*T1^5*T2^7 - 4434*T1^6*T2^7 + 2358*T1^7*T2^7 - 
      483*T1^8*T2^7 + 117*T1^4*T2^8 - 483*T1^5*T2^8 + 725*T1^6*T2^8 - 
      483*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 331] -> 
  {(1 - 7*T + 22*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 44*T1^2 + 74*T1^3 - 86*T1^4 + 74*T1^5 - 44*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 259*T1^2*T2 - 364*T1^3*T2 + 343*T1^4*T2 - 
     217*T1^5*T2 + 49*T1^6*T2 + 56*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     44*T2^2 + 259*T1*T2^2 - 628*T1^2*T2^2 + 574*T1^3*T2^2 - 137*T1^4*T2^2 - 
     404*T1^5*T2^2 + 787*T1^6*T2^2 - 746*T1^7*T2^2 + 296*T1^8*T2^2 - 
     49*T1^9*T2^2 + 74*T2^3 - 364*T1*T2^3 + 574*T1^2*T2^3 + 501*T1^3*T2^3 - 
     2076*T1^4*T2^3 + 2981*T1^5*T2^3 - 2790*T1^6*T2^3 + 1460*T1^7*T2^3 + 
     253*T1^8*T2^3 - 636*T1^9*T2^3 + 259*T1^10*T2^3 - 37*T1^11*T2^3 - 
     86*T2^4 + 343*T1*T2^4 - 137*T1^2*T2^4 - 2076*T1^3*T2^4 + 
     3997*T1^4*T2^4 - 3137*T1^5*T2^4 + 519*T1^6*T2^4 + 2581*T1^7*T2^4 - 
     4319*T1^8*T2^4 + 2438*T1^9*T2^4 + 21*T1^10*T2^4 - 343*T1^11*T2^4 + 
     86*T1^12*T2^4 + 74*T2^5 - 217*T1*T2^5 - 404*T1^2*T2^5 + 2981*T1^3*T2^5 - 
     3137*T1^4*T2^5 - 2360*T1^5*T2^5 + 7447*T1^6*T2^5 - 9761*T1^7*T2^5 + 
     7546*T1^8*T2^5 - 384*T1^9*T2^5 - 3528*T1^10*T2^5 + 1033*T1^11*T2^5 + 
     175*T1^12*T2^5 - 111*T1^13*T2^5 - 44*T2^6 + 49*T1*T2^6 + 787*T1^2*T2^6 - 
     2790*T1^3*T2^6 + 519*T1^4*T2^6 + 7447*T1^5*T2^6 - 8342*T1^6*T2^6 + 
     4464*T1^7*T2^6 + 3082*T1^8*T2^6 - 10685*T1^9*T2^6 + 7595*T1^10*T2^6 + 
     1874*T1^11*T2^6 - 1669*T1^12*T2^6 + 161*T1^13*T2^6 + 88*T1^14*T2^6 + 
     14*T2^7 + 56*T1*T2^7 - 746*T1^2*T2^7 + 1460*T1^3*T2^7 + 2581*T1^4*T2^7 - 
     9761*T1^5*T2^7 + 4464*T1^6*T2^7 + 504*T1^7*T2^7 - 4636*T1^8*T2^7 + 
     4415*T1^9*T2^7 + 5599*T1^10*T2^7 - 12032*T1^11*T2^7 + 1836*T1^12*T2^7 + 
     1124*T1^13*T2^7 - 371*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     296*T1^2*T2^8 + 253*T1^3*T2^8 - 4319*T1^4*T2^8 + 7546*T1^5*T2^8 + 
     3082*T1^6*T2^8 - 4636*T1^7*T2^8 + 3600*T1^8*T2^8 + 900*T1^9*T2^8 - 
     8448*T1^10*T2^8 + 5758*T1^11*T2^8 + 8573*T1^12*T2^8 - 4389*T1^13*T2^8 + 
     350*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 636*T1^3*T2^9 + 2438*T1^4*T2^9 - 384*T1^5*T2^9 - 
     10685*T1^6*T2^9 + 4415*T1^7*T2^9 + 900*T1^8*T2^9 - 4240*T1^9*T2^9 + 
     4366*T1^10*T2^9 + 4675*T1^11*T2^9 - 14997*T1^12*T2^9 + 2814*T1^13*T2^9 + 
     1234*T1^14*T2^9 - 476*T1^15*T2^9 - 42*T1^16*T2^9 + 259*T1^3*T2^10 + 
     21*T1^4*T2^10 - 3528*T1^5*T2^10 + 7595*T1^6*T2^10 + 5599*T1^7*T2^10 - 
     8448*T1^8*T2^10 + 4366*T1^9*T2^10 + 2976*T1^10*T2^10 - 
     12533*T1^11*T2^10 + 14671*T1^12*T2^10 + 1136*T1^13*T2^10 - 
     2435*T1^14*T2^10 + 371*T1^15*T2^10 + 132*T1^16*T2^10 - 37*T1^3*T2^11 - 
     343*T1^4*T2^11 + 1033*T1^5*T2^11 + 1874*T1^6*T2^11 - 12032*T1^7*T2^11 + 
     5758*T1^8*T2^11 + 4675*T1^9*T2^11 - 12533*T1^10*T2^11 + 
     15664*T1^11*T2^11 - 9279*T1^12*T2^11 - 4635*T1^13*T2^11 + 
     2470*T1^14*T2^11 + 49*T1^15*T2^11 - 222*T1^16*T2^11 + 86*T1^4*T2^12 + 
     175*T1^5*T2^12 - 1669*T1^6*T2^12 + 1836*T1^7*T2^12 + 8573*T1^8*T2^12 - 
     14997*T1^9*T2^12 + 14671*T1^10*T2^12 - 9279*T1^11*T2^12 + 
     257*T1^12*T2^12 + 6350*T1^13*T2^12 - 1511*T1^14*T2^12 - 
     511*T1^15*T2^12 + 258*T1^16*T2^12 - 111*T1^5*T2^13 + 161*T1^6*T2^13 + 
     1124*T1^7*T2^13 - 4389*T1^8*T2^13 + 2814*T1^9*T2^13 + 1136*T1^10*T2^13 - 
     4635*T1^11*T2^13 + 6350*T1^12*T2^13 - 4637*T1^13*T2^13 - 
     86*T1^14*T2^13 + 784*T1^15*T2^13 - 222*T1^16*T2^13 + 88*T1^6*T2^14 - 
     371*T1^7*T2^14 + 350*T1^8*T2^14 + 1234*T1^9*T2^14 - 2435*T1^10*T2^14 + 
     2470*T1^11*T2^14 - 1511*T1^12*T2^14 - 86*T1^13*T2^14 + 
     1274*T1^14*T2^14 - 679*T1^15*T2^14 + 132*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 476*T1^9*T2^15 + 371*T1^10*T2^15 + 49*T1^11*T2^15 - 
     511*T1^12*T2^15 + 784*T1^13*T2^15 - 679*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 132*T1^10*T2^16 - 
     222*T1^11*T2^16 + 258*T1^12*T2^16 - 222*T1^13*T2^16 + 132*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 332] -> 
  {(2 - 14*T + 41*T^2 - 57*T^3 + 41*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-15 + 105*T1 - 307*T1^2 + 427*T1^3 - 307*T1^4 + 105*T1^5 - 15*T1^6 + 
     105*T2 - 686*T1*T2 + 1806*T1^2*T2 - 1988*T1^3*T2 + 756*T1^4*T2 + 
     266*T1^5*T2 - 238*T1^6*T2 + 49*T1^7*T2 - 307*T2^2 + 1806*T1*T2^2 - 
     3871*T1^2*T2^2 + 1667*T1^3*T2^2 + 3775*T1^4*T2^2 - 5385*T1^5*T2^2 + 
     2525*T1^6*T2^2 - 490*T1^7*T2^2 + 21*T1^8*T2^2 + 427*T2^3 - 
     1988*T1*T2^3 + 1667*T1^2*T2^3 + 8698*T1^3*T2^3 - 20754*T1^4*T2^3 + 
     16688*T1^5*T2^3 - 2694*T1^6*T2^3 - 3171*T1^7*T2^3 + 1652*T1^8*T2^3 - 
     257*T1^9*T2^3 - 307*T2^4 + 756*T1*T2^4 + 3775*T1^2*T2^4 - 
     20754*T1^3*T2^4 + 31174*T1^4*T2^4 - 6280*T1^5*T2^4 - 24662*T1^6*T2^4 + 
     22794*T1^7*T2^4 - 5121*T1^8*T2^4 - 644*T1^9*T2^4 + 349*T1^10*T2^4 + 
     105*T2^5 + 266*T1*T2^5 - 5385*T1^2*T2^5 + 16688*T1^3*T2^5 - 
     6280*T1^4*T2^5 - 53069*T1^5*T2^5 + 83487*T1^6*T2^5 - 38957*T1^7*T2^5 - 
     8542*T1^8*T2^5 + 8309*T1^9*T2^5 - 1218*T1^10*T2^5 - 175*T1^11*T2^5 - 
     15*T2^6 - 238*T1*T2^6 + 2525*T1^2*T2^6 - 2694*T1^3*T2^6 - 
     24662*T1^4*T2^6 + 83487*T1^5*T2^6 - 62436*T1^6*T2^6 - 30839*T1^7*T2^6 + 
     62752*T1^8*T2^6 - 18986*T1^9*T2^6 - 743*T1^10*T2^6 + 994*T1^11*T2^6 + 
     33*T1^12*T2^6 + 49*T1*T2^7 - 490*T1^2*T2^7 - 3171*T1^3*T2^7 + 
     22794*T1^4*T2^7 - 38957*T1^5*T2^7 - 30839*T1^6*T2^7 + 105717*T1^7*T2^7 - 
     71634*T1^8*T2^7 - 2436*T1^9*T2^7 + 10523*T1^10*T2^7 - 1974*T1^11*T2^7 - 
     231*T1^12*T2^7 + 21*T1^2*T2^8 + 1652*T1^3*T2^8 - 5121*T1^4*T2^8 - 
     8542*T1^5*T2^8 + 62752*T1^6*T2^8 - 71634*T1^7*T2^8 + 6916*T1^8*T2^8 + 
     35006*T1^9*T2^8 - 14017*T1^10*T2^8 + 252*T1^11*T2^8 + 677*T1^12*T2^8 - 
     257*T1^3*T2^9 - 644*T1^4*T2^9 + 8309*T1^5*T2^9 - 18986*T1^6*T2^9 - 
     2436*T1^7*T2^9 + 35006*T1^8*T2^9 - 30378*T1^9*T2^9 + 3471*T1^10*T2^9 + 
     2996*T1^11*T2^9 - 941*T1^12*T2^9 + 349*T1^4*T2^10 - 1218*T1^5*T2^10 - 
     743*T1^6*T2^10 + 10523*T1^7*T2^10 - 14017*T1^8*T2^10 + 3471*T1^9*T2^10 + 
     5653*T1^10*T2^10 - 3514*T1^11*T2^10 + 677*T1^12*T2^10 - 175*T1^5*T2^11 + 
     994*T1^6*T2^11 - 1974*T1^7*T2^11 + 252*T1^8*T2^11 + 2996*T1^9*T2^11 - 
     3514*T1^10*T2^11 + 1442*T1^11*T2^11 - 231*T1^12*T2^11 + 33*T1^6*T2^12 - 
     231*T1^7*T2^12 + 677*T1^8*T2^12 - 941*T1^9*T2^12 + 677*T1^10*T2^12 - 
     231*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 333] -> 
  {(1 - 8*T + 27*T^2 - 52*T^3 + 65*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 208*T1^3 - 260*T1^4 + 208*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1016*T1^3*T2 + 
     832*T1^4*T2 - 104*T1^5*T2 - 384*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1435*T1^2*T2^2 + 869*T1^3*T2^2 + 
     1494*T1^4*T2^2 - 4039*T1^5*T2^2 + 3546*T1^6*T2^2 - 1507*T1^7*T2^2 - 
     31*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 208*T2^3 - 1016*T1*T2^3 + 
     869*T1^2*T2^3 + 3254*T1^3*T2^3 - 8884*T1^4*T2^3 + 10214*T1^5*T2^3 - 
     2734*T1^6*T2^3 - 3208*T1^7*T2^3 + 3962*T1^8*T2^3 - 1399*T1^9*T2^3 + 
     16*T1^10*T2^3 + 52*T1^11*T2^3 - 260*T2^4 + 832*T1*T2^4 + 
     1494*T1^2*T2^4 - 8884*T1^3*T2^4 + 11914*T1^4*T2^4 - 3131*T1^5*T2^4 - 
     15002*T1^6*T2^4 + 17045*T1^7*T2^4 - 8054*T1^8*T2^4 - 772*T1^9*T2^4 + 
     1858*T1^10*T2^4 - 416*T1^11*T2^4 + 208*T2^5 - 104*T1*T2^5 - 
     4039*T1^2*T2^5 + 10214*T1^3*T2^5 - 3131*T1^4*T2^5 - 17082*T1^5*T2^5 + 
     34082*T1^6*T2^5 - 16046*T1^7*T2^5 - 6266*T1^8*T2^5 + 13509*T1^9*T2^5 - 
     5750*T1^10*T2^5 + 17*T1^11*T2^5 + 416*T1^12*T2^5 - 52*T1^13*T2^5 - 
     108*T2^6 - 384*T1*T2^6 + 3546*T1^2*T2^6 - 2734*T1^3*T2^6 - 
     15002*T1^4*T2^6 + 34082*T1^5*T2^6 - 29656*T1^6*T2^6 - 13598*T1^7*T2^6 + 
     34720*T1^8*T2^6 - 22286*T1^9*T2^6 + 260*T1^10*T2^6 + 5690*T1^11*T2^6 - 
     1882*T1^12*T2^6 - 16*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 
     392*T1*T2^7 - 1507*T1^2*T2^7 - 3208*T1^3*T2^7 + 17045*T1^4*T2^7 - 
     16046*T1^5*T2^7 - 13598*T1^6*T2^7 + 55402*T1^7*T2^7 - 44606*T1^8*T2^7 + 
     1674*T1^9*T2^7 + 21602*T1^10*T2^7 - 13739*T1^11*T2^7 + 860*T1^12*T2^7 + 
     1409*T1^13*T2^7 - 240*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 31*T1^2*T2^8 + 3962*T1^3*T2^8 - 8054*T1^4*T2^8 - 
     6266*T1^5*T2^8 + 34720*T1^6*T2^8 - 44606*T1^7*T2^8 + 2328*T1^8*T2^8 + 
     42514*T1^9*T2^8 - 36360*T1^10*T2^8 + 7254*T1^11*T2^8 + 7966*T1^12*T2^8 - 
     4006*T1^13*T2^8 + 29*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 240*T1^2*T2^9 - 1399*T1^3*T2^9 - 772*T1^4*T2^9 + 
     13509*T1^5*T2^9 - 22286*T1^6*T2^9 + 1674*T1^7*T2^9 + 42514*T1^8*T2^9 - 
     57494*T1^9*T2^9 + 16946*T1^10*T2^9 + 15362*T1^11*T2^9 - 
     17275*T1^12*T2^9 + 3296*T1^13*T2^9 + 1517*T1^14*T2^9 - 392*T1^15*T2^9 - 
     32*T1^16*T2^9 - 54*T1^2*T2^10 + 16*T1^3*T2^10 + 1858*T1^4*T2^10 - 
     5750*T1^5*T2^10 + 260*T1^6*T2^10 + 21602*T1^7*T2^10 - 36360*T1^8*T2^10 + 
     16946*T1^9*T2^10 + 28016*T1^10*T2^10 - 34766*T1^11*T2^10 + 
     15522*T1^12*T2^10 + 2674*T1^13*T2^10 - 3570*T1^14*T2^10 + 
     384*T1^15*T2^10 + 108*T1^16*T2^10 + 52*T1^3*T2^11 - 416*T1^4*T2^11 + 
     17*T1^5*T2^11 + 5690*T1^6*T2^11 - 13739*T1^7*T2^11 + 7254*T1^8*T2^11 + 
     15362*T1^9*T2^11 - 34766*T1^10*T2^11 + 18070*T1^11*T2^11 + 
     2901*T1^12*T2^11 - 10274*T1^13*T2^11 + 4073*T1^14*T2^11 + 
     104*T1^15*T2^11 - 208*T1^16*T2^11 + 416*T1^5*T2^12 - 1882*T1^6*T2^12 + 
     860*T1^7*T2^12 + 7966*T1^8*T2^12 - 17275*T1^9*T2^12 + 
     15522*T1^10*T2^12 + 2901*T1^11*T2^12 - 12002*T1^12*T2^12 + 
     8972*T1^13*T2^12 - 1518*T1^14*T2^12 - 832*T1^15*T2^12 + 
     260*T1^16*T2^12 - 52*T1^5*T2^13 - 16*T1^6*T2^13 + 1409*T1^7*T2^13 - 
     4006*T1^8*T2^13 + 3296*T1^9*T2^13 + 2674*T1^10*T2^13 - 
     10274*T1^11*T2^13 + 8972*T1^12*T2^13 - 3298*T1^13*T2^13 - 
     859*T1^14*T2^13 + 1016*T1^15*T2^13 - 208*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 29*T1^8*T2^14 + 1517*T1^9*T2^14 - 3570*T1^10*T2^14 + 
     4073*T1^11*T2^14 - 1518*T1^12*T2^14 - 859*T1^13*T2^14 + 
     1433*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 384*T1^10*T2^15 + 104*T1^11*T2^15 - 
     832*T1^12*T2^15 + 1016*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     208*T1^11*T2^16 + 260*T1^12*T2^16 - 208*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 334] -> 
  {((1 - T + T^2)*(1 - 7*T + 20*T^2 - 27*T^3 + 20*T^4 - 7*T^5 + T^6))/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 216*T1^3 - 268*T1^4 + 216*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1056*T1^3*T2 + 
     848*T1^4*T2 - 120*T1^5*T2 - 400*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1121*T1^3*T2^2 + 
     1301*T1^4*T2^2 - 3800*T1^5*T2^2 + 3485*T1^6*T2^2 - 1455*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 216*T2^3 - 
     1056*T1*T2^3 + 1121*T1^2*T2^3 + 3614*T1^3*T2^3 - 9733*T1^4*T2^3 + 
     10692*T1^5*T2^3 - 3128*T1^6*T2^3 - 3515*T1^7*T2^3 + 4460*T1^8*T2^3 - 
     1399*T1^9*T2^3 + 16*T1^10*T2^3 + 54*T1^11*T2^3 - 268*T2^4 + 
     848*T1*T2^4 + 1301*T1^2*T2^4 - 9733*T1^3*T2^4 + 11795*T1^4*T2^4 + 
     115*T1^5*T2^4 - 19153*T1^6*T2^4 + 21483*T1^7*T2^4 - 10261*T1^8*T2^4 - 
     877*T1^9*T2^4 + 1893*T1^10*T2^4 - 432*T1^11*T2^4 + 216*T2^5 - 
     120*T1*T2^5 - 3800*T1^2*T2^5 + 10692*T1^3*T2^5 + 115*T1^4*T2^5 - 
     25610*T1^5*T2^5 + 40888*T1^6*T2^5 - 19928*T1^7*T2^5 - 7376*T1^8*T2^5 + 
     16033*T1^9*T2^5 - 6144*T1^10*T2^5 - 8*T1^11*T2^5 + 432*T1^12*T2^5 - 
     54*T1^13*T2^5 - 112*T2^6 - 400*T1*T2^6 + 3485*T1^2*T2^6 - 
     3128*T1^3*T2^6 - 19153*T1^4*T2^6 + 40888*T1^5*T2^6 - 27813*T1^6*T2^6 - 
     20313*T1^7*T2^6 + 43563*T1^8*T2^6 - 26728*T1^9*T2^6 + 95*T1^10*T2^6 + 
     6168*T1^11*T2^6 - 1883*T1^12*T2^6 - 16*T1^13*T2^6 + 56*T1^14*T2^6 + 
     32*T2^7 + 416*T1*T2^7 - 1455*T1^2*T2^7 - 3515*T1^3*T2^7 + 
     21483*T1^4*T2^7 - 19928*T1^5*T2^7 - 20313*T1^6*T2^7 + 60650*T1^7*T2^7 - 
     44992*T1^8*T2^7 - 3805*T1^9*T2^7 + 27288*T1^10*T2^7 - 16235*T1^11*T2^7 + 
     819*T1^12*T2^7 + 1401*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 144*T1^2*T2^8 + 4460*T1^3*T2^8 - 
     10261*T1^4*T2^8 - 7376*T1^5*T2^8 + 43563*T1^6*T2^8 - 44992*T1^7*T2^8 - 
     3432*T1^8*T2^8 + 48504*T1^9*T2^8 - 38245*T1^10*T2^8 + 6040*T1^11*T2^8 + 
     10691*T1^12*T2^8 - 4476*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1399*T1^3*T2^9 - 
     877*T1^4*T2^9 + 16033*T1^5*T2^9 - 26728*T1^6*T2^9 - 3805*T1^7*T2^9 + 
     48504*T1^8*T2^9 - 57138*T1^9*T2^9 + 12703*T1^10*T2^9 + 
     20488*T1^11*T2^9 - 21685*T1^12*T2^9 + 3457*T1^13*T2^9 + 
     1457*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 + 
     16*T1^3*T2^10 + 1893*T1^4*T2^10 - 6144*T1^5*T2^10 + 95*T1^6*T2^10 + 
     27288*T1^7*T2^10 - 38245*T1^8*T2^10 + 12703*T1^9*T2^10 + 
     33131*T1^10*T2^10 - 40328*T1^11*T2^10 + 19343*T1^12*T2^10 + 
     3152*T1^13*T2^10 - 3475*T1^14*T2^10 + 400*T1^15*T2^10 + 
     112*T1^16*T2^10 + 54*T1^3*T2^11 - 432*T1^4*T2^11 - 8*T1^5*T2^11 + 
     6168*T1^6*T2^11 - 16235*T1^7*T2^11 + 6040*T1^8*T2^11 + 
     20488*T1^9*T2^11 - 40328*T1^10*T2^11 + 24274*T1^11*T2^11 - 
     317*T1^12*T2^11 - 10668*T1^13*T2^11 + 3784*T1^14*T2^11 + 
     120*T1^15*T2^11 - 216*T1^16*T2^11 + 432*T1^5*T2^12 - 1883*T1^6*T2^12 + 
     819*T1^7*T2^12 + 10691*T1^8*T2^12 - 21685*T1^9*T2^12 + 
     19343*T1^10*T2^12 - 317*T1^11*T2^12 - 11365*T1^12*T2^12 + 
     9675*T1^13*T2^12 - 1291*T1^14*T2^12 - 848*T1^15*T2^12 + 
     268*T1^16*T2^12 - 54*T1^5*T2^13 - 16*T1^6*T2^13 + 1401*T1^7*T2^13 - 
     4476*T1^8*T2^13 + 3457*T1^9*T2^13 + 3152*T1^10*T2^13 - 
     10668*T1^11*T2^13 + 9675*T1^12*T2^13 - 3630*T1^13*T2^13 - 
     1119*T1^14*T2^13 + 1056*T1^15*T2^13 - 216*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 144*T1^8*T2^14 + 1457*T1^9*T2^14 - 3475*T1^10*T2^14 + 
     3784*T1^11*T2^14 - 1291*T1^12*T2^14 - 1119*T1^13*T2^14 + 
     1656*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 400*T1^10*T2^15 + 120*T1^11*T2^15 - 
     848*T1^12*T2^15 + 1056*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     216*T1^11*T2^16 + 268*T1^12*T2^16 - 216*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 335] -> 
  {-((1 - 9*T + 30*T^2 - 59*T^3 + 73*T^4 - 59*T^5 + 30*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 150*T1^2 + 295*T1^3 - 365*T1^4 + 295*T1^5 - 
      150*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1026*T1^2*T2 - 
      1575*T1^3*T2 + 1161*T1^4*T2 - 27*T1^5*T2 - 774*T1^6*T2 + 675*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 150*T2^2 + 1026*T1*T2^2 - 1680*T1^2*T2^2 - 
      36*T1^3*T2^2 + 5409*T1^4*T2^2 - 9418*T1^5*T2^2 + 7989*T1^6*T2^2 - 
      3036*T1^7*T2^2 + 60*T1^8*T2^2 + 486*T1^9*T2^2 - 90*T1^10*T2^2 + 
      295*T2^3 - 1575*T1*T2^3 - 36*T1^2*T2^3 + 7781*T1^3*T2^3 - 
      18873*T1^4*T2^3 + 17156*T1^5*T2^3 - 2731*T1^6*T2^3 - 9357*T1^7*T2^3 + 
      7871*T1^8*T2^3 - 2646*T1^9*T2^3 - 252*T1^10*T2^3 + 118*T1^11*T2^3 - 
      365*T2^4 + 1161*T1*T2^4 + 5409*T1^2*T2^4 - 18873*T1^3*T2^4 + 
      26757*T1^4*T2^4 - 4684*T1^5*T2^4 - 23295*T1^6*T2^4 + 26382*T1^7*T2^4 - 
      5319*T1^8*T2^4 - 5303*T1^9*T2^4 + 4611*T1^10*T2^4 - 405*T1^11*T2^4 - 
      73*T1^12*T2^4 + 295*T2^5 - 27*T1*T2^5 - 9418*T1^2*T2^5 + 
      17156*T1^3*T2^5 - 4684*T1^4*T2^5 - 39492*T1^5*T2^5 + 52985*T1^6*T2^5 - 
      16741*T1^7*T2^5 - 25884*T1^8*T2^5 + 23011*T1^9*T2^5 - 6869*T1^10*T2^5 - 
      2299*T1^11*T2^5 + 657*T1^12*T2^5 - 150*T2^6 - 774*T1*T2^6 + 
      7989*T1^2*T2^6 - 2731*T1^3*T2^6 - 23295*T1^4*T2^6 + 52985*T1^5*T2^6 - 
      14212*T1^6*T2^6 - 54780*T1^7*T2^6 + 73148*T1^8*T2^6 - 23707*T1^9*T2^6 - 
      8451*T1^10*T2^6 + 10949*T1^11*T2^6 - 1347*T1^12*T2^6 - 270*T1^13*T2^6 + 
      30*T1^14*T2^6 + 45*T2^7 + 675*T1*T2^7 - 3036*T1^2*T2^7 - 
      9357*T1^3*T2^7 + 26382*T1^4*T2^7 - 16741*T1^5*T2^7 - 54780*T1^6*T2^7 + 
      97128*T1^7*T2^7 - 50826*T1^8*T2^7 - 27767*T1^9*T2^7 + 
      39053*T1^10*T2^7 - 14797*T1^11*T2^7 - 2657*T1^12*T2^7 + 
      1914*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 60*T1^2*T2^8 + 7871*T1^3*T2^8 - 5319*T1^4*T2^8 - 
      25884*T1^5*T2^8 + 73148*T1^6*T2^8 - 50826*T1^7*T2^8 - 34536*T1^8*T2^8 + 
      82562*T1^9*T2^8 - 44186*T1^10*T2^8 - 1380*T1^11*T2^8 + 
      11933*T1^12*T2^8 - 3459*T1^13*T2^8 - 474*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 486*T1^2*T2^9 - 2646*T1^3*T2^9 - 
      5303*T1^4*T2^9 + 23011*T1^5*T2^9 - 23707*T1^6*T2^9 - 27767*T1^7*T2^9 + 
      82562*T1^8*T2^9 - 65392*T1^9*T2^9 - 754*T1^10*T2^9 + 32087*T1^11*T2^9 - 
      18168*T1^12*T2^9 + 1397*T1^13*T2^9 + 2304*T1^14*T2^9 - 297*T1^15*T2^9 - 
      27*T1^16*T2^9 - 90*T1^2*T2^10 - 252*T1^3*T2^10 + 4611*T1^4*T2^10 - 
      6869*T1^5*T2^10 - 8451*T1^6*T2^10 + 39053*T1^7*T2^10 - 
      44186*T1^8*T2^10 - 754*T1^9*T2^10 + 43174*T1^10*T2^10 - 
      37639*T1^11*T2^10 + 6393*T1^12*T2^10 + 6811*T1^13*T2^10 - 
      4725*T1^14*T2^10 + 252*T1^15*T2^10 + 90*T1^16*T2^10 + 118*T1^3*T2^11 - 
      405*T1^4*T2^11 - 2299*T1^5*T2^11 + 10949*T1^6*T2^11 - 
      14797*T1^7*T2^11 - 1380*T1^8*T2^11 + 32087*T1^9*T2^11 - 
      37639*T1^10*T2^11 + 12228*T1^11*T2^11 + 12898*T1^12*T2^11 - 
      13076*T1^13*T2^11 + 4820*T1^14*T2^11 + 279*T1^15*T2^11 - 
      177*T1^16*T2^11 - 73*T1^4*T2^12 + 657*T1^5*T2^12 - 1347*T1^6*T2^12 - 
      2657*T1^7*T2^12 + 11933*T1^8*T2^12 - 18168*T1^9*T2^12 + 
      6393*T1^10*T2^12 + 12898*T1^11*T2^12 - 20143*T1^12*T2^12 + 
      10913*T1^13*T2^12 - 2145*T1^14*T2^12 - 909*T1^15*T2^12 + 
      219*T1^16*T2^12 - 270*T1^6*T2^13 + 1914*T1^7*T2^13 - 3459*T1^8*T2^13 + 
      1397*T1^9*T2^13 + 6811*T1^10*T2^13 - 13076*T1^11*T2^13 + 
      10913*T1^12*T2^13 - 3369*T1^13*T2^13 - 696*T1^14*T2^13 + 
      1053*T1^15*T2^13 - 177*T1^16*T2^13 + 30*T1^6*T2^14 - 108*T1^7*T2^14 - 
      474*T1^8*T2^14 + 2304*T1^9*T2^14 - 4725*T1^10*T2^14 + 
      4820*T1^11*T2^14 - 2145*T1^12*T2^14 - 696*T1^13*T2^14 + 
      1266*T1^14*T2^14 - 648*T1^15*T2^14 + 90*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 297*T1^9*T2^15 + 252*T1^10*T2^15 + 279*T1^11*T2^15 - 
      909*T1^12*T2^15 + 1053*T1^13*T2^15 - 648*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      90*T1^10*T2^16 - 177*T1^11*T2^16 + 219*T1^12*T2^16 - 177*T1^13*T2^16 + 
      90*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 336] -> 
  {-(((1 - T + T^2)*(4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4))/T^3), 
   -((-336 + 1832*T1 - 4048*T1^2 + 5192*T1^3 - 4048*T1^4 + 1832*T1^5 - 
      336*T1^6 + 1832*T2 - 8522*T1*T2 + 14064*T1^2*T2 - 10578*T1^3*T2 - 
      722*T1^4*T2 + 7816*T1^5*T2 - 6234*T1^6*T2 + 1480*T1^7*T2 - 4048*T2^2 + 
      14064*T1*T2^2 - 7555*T1^2*T2^2 - 20771*T1^3*T2^2 + 45871*T1^4*T2^2 - 
      36843*T1^5*T2^2 + 10085*T1^6*T2^2 + 5440*T1^7*T2^2 - 2480*T1^8*T2^2 + 
      5192*T2^3 - 10578*T1*T2^3 - 20771*T1^2*T2^3 + 63254*T1^3*T2^3 - 
      62726*T1^4*T2^3 + 4334*T1^5*T2^3 + 37368*T1^6*T2^3 - 29787*T1^7*T2^3 + 
      1742*T1^8*T2^3 + 2168*T1^9*T2^3 - 4048*T2^4 - 722*T1*T2^4 + 
      45871*T1^2*T2^4 - 62726*T1^3*T2^4 + 8153*T1^4*T2^4 + 72789*T1^5*T2^4 - 
      70219*T1^6*T2^4 + 12622*T1^7*T2^4 + 23303*T1^8*T2^4 - 6882*T1^9*T2^4 - 
      912*T1^10*T2^4 + 1832*T2^5 + 7816*T1*T2^5 - 36843*T1^2*T2^5 + 
      4334*T1^3*T2^5 + 72789*T1^4*T2^5 - 103347*T1^5*T2^5 + 24223*T1^6*T2^5 + 
      48730*T1^7*T2^5 - 46150*T1^8*T2^5 + 397*T1^9*T2^5 + 4560*T1^10*T2^5 + 
      72*T1^11*T2^5 - 336*T2^6 - 6234*T1*T2^6 + 10085*T1^2*T2^6 + 
      37368*T1^3*T2^6 - 70219*T1^4*T2^6 + 24223*T1^5*T2^6 + 72480*T1^6*T2^6 - 
      87651*T1^7*T2^6 + 28607*T1^8*T2^6 + 20540*T1^9*T2^6 - 8595*T1^10*T2^6 - 
      602*T1^11*T2^6 + 48*T1^12*T2^6 + 1480*T1*T2^7 + 5440*T1^2*T2^7 - 
      29787*T1^3*T2^7 + 12622*T1^4*T2^7 + 48730*T1^5*T2^7 - 87651*T1^6*T2^7 + 
      39919*T1^7*T2^7 + 24671*T1^8*T2^7 - 37862*T1^9*T2^7 + 7453*T1^10*T2^7 + 
      2184*T1^11*T2^7 - 280*T1^12*T2^7 - 2480*T1^2*T2^8 + 1742*T1^3*T2^8 + 
      23303*T1^4*T2^8 - 46150*T1^5*T2^8 + 28607*T1^6*T2^8 + 24671*T1^7*T2^8 - 
      49765*T1^8*T2^8 + 29198*T1^9*T2^8 + 735*T1^10*T2^8 - 4418*T1^11*T2^8 + 
      656*T1^12*T2^8 + 2168*T1^3*T2^9 - 6882*T1^4*T2^9 + 397*T1^5*T2^9 + 
      20540*T1^6*T2^9 - 37862*T1^7*T2^9 + 29198*T1^8*T2^9 - 5346*T1^9*T2^9 - 
      8619*T1^10*T2^9 + 5438*T1^11*T2^9 - 856*T1^12*T2^9 - 912*T1^4*T2^10 + 
      4560*T1^5*T2^10 - 8595*T1^6*T2^10 + 7453*T1^7*T2^10 + 735*T1^8*T2^10 - 
      8619*T1^9*T2^10 + 9045*T1^10*T2^10 - 4064*T1^11*T2^10 + 
      656*T1^12*T2^10 + 72*T1^5*T2^11 - 602*T1^6*T2^11 + 2184*T1^7*T2^11 - 
      4418*T1^8*T2^11 + 5438*T1^9*T2^11 - 4064*T1^10*T2^11 + 
      1686*T1^11*T2^11 - 280*T1^12*T2^11 + 48*T1^6*T2^12 - 280*T1^7*T2^12 + 
      656*T1^8*T2^12 - 856*T1^9*T2^12 + 656*T1^10*T2^12 - 280*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 337] -> 
  {(3 - 22*T + 62*T^2 - 85*T^3 + 62*T^4 - 22*T^5 + 3*T^6)/T^3, 
   (-111 + 809*T1 - 2273*T1^2 + 3111*T1^3 - 2273*T1^4 + 809*T1^5 - 111*T1^6 + 
     809*T2 - 5286*T1*T2 + 12123*T1^2*T2 - 10202*T1^3*T2 - 500*T1^4*T2 + 
     6579*T1^5*T2 - 3636*T1^6*T2 + 611*T1^7*T2 - 2273*T2^2 + 12123*T1*T2^2 - 
     15419*T1^2*T2^2 - 18409*T1^3*T2^2 + 53779*T1^4*T2^2 - 41845*T1^5*T2^2 + 
     6529*T1^6*T2^2 + 3939*T1^7*T2^2 - 1157*T1^8*T2^2 + 3111*T2^3 - 
     10202*T1*T2^3 - 18409*T1^2*T2^3 + 106633*T1^3*T2^3 - 119958*T1^4*T2^3 + 
     16290*T1^5*T2^3 + 59377*T1^6*T2^3 - 31739*T1^7*T2^3 + 2536*T1^8*T2^3 + 
     816*T1^9*T2^3 - 2273*T2^4 - 500*T1*T2^4 + 53779*T1^2*T2^4 - 
     119958*T1^3*T2^4 - 1687*T1^4*T2^4 + 198407*T1^5*T2^4 - 
     193411*T1^6*T2^4 + 37462*T1^7*T2^4 + 17627*T1^8*T2^4 - 5648*T1^9*T2^4 - 
     41*T1^10*T2^4 + 809*T2^5 + 6579*T1*T2^5 - 41845*T1^2*T2^5 + 
     16290*T1^3*T2^5 + 198407*T1^4*T2^5 - 315232*T1^5*T2^5 + 
     123980*T1^6*T2^5 + 95363*T1^7*T2^5 - 77614*T1^8*T2^5 + 11909*T1^9*T2^5 + 
     1563*T1^10*T2^5 - 181*T1^11*T2^5 - 111*T2^6 - 3636*T1*T2^6 + 
     6529*T1^2*T2^6 + 59377*T1^3*T2^6 - 193411*T1^4*T2^6 + 123980*T1^5*T2^6 + 
     143016*T1^6*T2^6 - 247328*T1^7*T2^6 + 98969*T1^8*T2^6 + 5683*T1^9*T2^6 - 
     9651*T1^10*T2^6 + 984*T1^11*T2^6 + 51*T1^12*T2^6 + 611*T1*T2^7 + 
     3939*T1^2*T2^7 - 31739*T1^3*T2^7 + 37462*T1^4*T2^7 + 95363*T1^5*T2^7 - 
     247328*T1^6*T2^7 + 191884*T1^7*T2^7 - 7681*T1^8*T2^7 - 56442*T1^9*T2^7 + 
     22015*T1^10*T2^7 - 1077*T1^11*T2^7 - 379*T1^12*T2^7 - 1157*T1^2*T2^8 + 
     2536*T1^3*T2^8 + 17627*T1^4*T2^8 - 77614*T1^5*T2^8 + 98969*T1^6*T2^8 - 
     7681*T1^7*T2^8 - 92755*T1^8*T2^8 + 79806*T1^9*T2^8 - 18525*T1^10*T2^8 - 
     2612*T1^11*T2^8 + 1075*T1^12*T2^8 + 816*T1^3*T2^9 - 5648*T1^4*T2^9 + 
     11909*T1^5*T2^9 + 5683*T1^6*T2^9 - 56442*T1^7*T2^9 + 79806*T1^8*T2^9 - 
     41573*T1^9*T2^9 - 1421*T1^10*T2^9 + 7090*T1^11*T2^9 - 1479*T1^12*T2^9 - 
     41*T1^4*T2^10 + 1563*T1^5*T2^10 - 9651*T1^6*T2^10 + 22015*T1^7*T2^10 - 
     18525*T1^8*T2^10 - 1421*T1^9*T2^10 + 12297*T1^10*T2^10 - 
     6621*T1^11*T2^10 + 1075*T1^12*T2^10 - 181*T1^5*T2^11 + 984*T1^6*T2^11 - 
     1077*T1^7*T2^11 - 2612*T1^8*T2^11 + 7090*T1^9*T2^11 - 6621*T1^10*T2^11 + 
     2634*T1^11*T2^11 - 379*T1^12*T2^11 + 51*T1^6*T2^12 - 379*T1^7*T2^12 + 
     1075*T1^8*T2^12 - 1479*T1^9*T2^12 + 1075*T1^10*T2^12 - 379*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 338] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-33 + 263*T1 - 737*T1^2 + 997*T1^3 - 737*T1^4 + 263*T1^5 - 33*T1^6 + 
     263*T2 - 1898*T1*T2 + 4294*T1^2*T2 - 3516*T1^3*T2 - 124*T1^4*T2 + 
     2342*T1^5*T2 - 1322*T1^6*T2 + 199*T1^7*T2 - 737*T2^2 + 4294*T1*T2^2 - 
     4276*T1^2*T2^2 - 9908*T1^3*T2^2 + 22752*T1^4*T2^2 - 18008*T1^5*T2^2 + 
     3464*T1^6*T2^2 + 1414*T1^7*T2^2 - 377*T1^8*T2^2 + 997*T2^3 - 
     3516*T1*T2^3 - 9908*T1^2*T2^3 + 44890*T1^3*T2^3 - 46918*T1^4*T2^3 + 
     7076*T1^5*T2^3 + 24028*T1^6*T2^3 - 13418*T1^7*T2^3 + 900*T1^8*T2^3 + 
     265*T1^9*T2^3 - 737*T2^4 - 124*T1*T2^4 + 22752*T1^2*T2^4 - 
     46918*T1^3*T2^4 - 4276*T1^4*T2^4 + 76634*T1^5*T2^4 - 76636*T1^6*T2^4 + 
     15058*T1^7*T2^4 + 7720*T1^8*T2^4 - 1980*T1^9*T2^4 - 17*T1^10*T2^4 + 
     263*T2^5 + 2342*T1*T2^5 - 18008*T1^2*T2^5 + 7076*T1^3*T2^5 + 
     76634*T1^4*T2^5 - 115687*T1^5*T2^5 + 46403*T1^6*T2^5 + 38069*T1^7*T2^5 - 
     30954*T1^8*T2^5 + 3862*T1^9*T2^5 + 582*T1^10*T2^5 - 57*T1^11*T2^5 - 
     33*T2^6 - 1322*T1*T2^6 + 3464*T1^2*T2^6 + 24028*T1^3*T2^6 - 
     76636*T1^4*T2^6 + 46403*T1^5*T2^6 + 51516*T1^6*T2^6 - 92199*T1^7*T2^6 + 
     36130*T1^8*T2^6 + 3844*T1^9*T2^6 - 3740*T1^10*T2^6 + 342*T1^11*T2^6 + 
     15*T1^12*T2^6 + 199*T1*T2^7 + 1414*T1^2*T2^7 - 13418*T1^3*T2^7 + 
     15058*T1^4*T2^7 + 38069*T1^5*T2^7 - 92199*T1^6*T2^7 + 69891*T1^7*T2^7 - 
     496*T1^8*T2^7 - 22972*T1^9*T2^7 + 8452*T1^10*T2^7 - 346*T1^11*T2^7 - 
     121*T1^12*T2^7 - 377*T1^2*T2^8 + 900*T1^3*T2^8 + 7720*T1^4*T2^8 - 
     30954*T1^5*T2^8 + 36130*T1^6*T2^8 - 496*T1^7*T2^8 - 36230*T1^8*T2^8 + 
     31022*T1^9*T2^8 - 7312*T1^10*T2^8 - 956*T1^11*T2^8 + 343*T1^12*T2^8 + 
     265*T1^3*T2^9 - 1980*T1^4*T2^9 + 3862*T1^5*T2^9 + 3844*T1^6*T2^9 - 
     22972*T1^7*T2^9 + 31022*T1^8*T2^9 - 17018*T1^9*T2^9 + 352*T1^10*T2^9 + 
     2436*T1^11*T2^9 - 467*T1^12*T2^9 - 17*T1^4*T2^10 + 582*T1^5*T2^10 - 
     3740*T1^6*T2^10 + 8452*T1^7*T2^10 - 7312*T1^8*T2^10 + 352*T1^9*T2^10 + 
     4000*T1^10*T2^10 - 2298*T1^11*T2^10 + 343*T1^12*T2^10 - 57*T1^5*T2^11 + 
     342*T1^6*T2^11 - 346*T1^7*T2^11 - 956*T1^8*T2^11 + 2436*T1^9*T2^11 - 
     2298*T1^10*T2^11 + 918*T1^11*T2^11 - 121*T1^12*T2^11 + 15*T1^6*T2^12 - 
     121*T1^7*T2^12 + 343*T1^8*T2^12 - 467*T1^9*T2^12 + 343*T1^10*T2^12 - 
     121*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 339] -> {-((9 - 39*T + 59*T^2 - 39*T^3 + 9*T^4)/T^2), 
   -((-2457 + 10641*T1 - 16061*T1^2 + 10641*T1^3 - 2457*T1^4 + 10641*T2 - 
      38631*T1*T2 + 37198*T1^2*T2 + 2800*T1^3*T2 - 21783*T1^4*T2 + 
      7482*T1^5*T2 - 16061*T2^2 + 37198*T1*T2^2 + 28708*T1^2*T2^2 - 
      113886*T1^3*T2^2 + 81808*T1^4*T2^2 - 4220*T1^5*T2^2 - 6503*T1^6*T2^2 + 
      10641*T2^3 + 2800*T1*T2^3 - 113886*T1^2*T2^3 + 152500*T1^3*T2^3 - 
      22454*T1^4*T2^3 - 65565*T1^5*T2^3 + 23158*T1^6*T2^3 + 1164*T1^7*T2^3 - 
      2457*T2^4 - 21783*T1*T2^4 + 81808*T1^2*T2^4 - 22454*T1^3*T2^4 - 
      116580*T1^4*T2^4 + 117010*T1^5*T2^4 - 17714*T1^6*T2^4 - 
      7041*T1^7*T2^4 + 459*T1^8*T2^4 + 7482*T1*T2^5 - 4220*T1^2*T2^5 - 
      65565*T1^3*T2^5 + 117010*T1^4*T2^5 - 57944*T1^5*T2^5 - 
      17244*T1^6*T2^5 + 16138*T1^7*T2^5 - 1995*T1^8*T2^5 - 6503*T1^2*T2^6 + 
      23158*T1^3*T2^6 - 17714*T1^4*T2^6 - 17244*T1^5*T2^6 + 35386*T1^6*T2^6 - 
      18260*T1^7*T2^6 + 3055*T1^8*T2^6 + 1164*T1^3*T2^7 - 7041*T1^4*T2^7 + 
      16138*T1^5*T2^7 - 18260*T1^6*T2^7 + 9807*T1^7*T2^7 - 1995*T1^8*T2^7 + 
      459*T1^4*T2^8 - 1995*T1^5*T2^8 + 3055*T1^6*T2^8 - 1995*T1^7*T2^8 + 
      459*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 340] -> 
  {(3 - 21*T + 59*T^2 - 81*T^3 + 59*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 774*T1 - 2173*T1^2 + 2981*T1^3 - 2173*T1^4 + 774*T1^5 - 111*T1^6 + 
     774*T2 - 4809*T1*T2 + 11067*T1^2*T2 - 9345*T1^3*T2 - 525*T1^4*T2 + 
     6027*T1^5*T2 - 3297*T1^6*T2 + 585*T1^7*T2 - 2173*T2^2 + 11067*T1*T2^2 - 
     15330*T1^2*T2^2 - 13129*T1^3*T2^2 + 44366*T1^4*T2^2 - 34369*T1^5*T2^2 + 
     4494*T1^6*T2^2 + 3633*T1^7*T2^2 - 1111*T1^8*T2^2 + 2981*T2^3 - 
     9345*T1*T2^3 - 13129*T1^2*T2^3 + 88866*T1^3*T2^3 - 102170*T1^4*T2^3 + 
     12970*T1^5*T2^3 + 50982*T1^6*T2^3 - 26404*T1^7*T2^3 + 2247*T1^8*T2^3 + 
     794*T1^9*T2^3 - 2173*T2^4 - 525*T1*T2^4 + 44366*T1^2*T2^4 - 
     102170*T1^3*T2^4 - 1409*T1^4*T2^4 + 172439*T1^5*T2^4 - 
     165881*T1^6*T2^4 + 30994*T1^7*T2^4 + 14696*T1^8*T2^4 - 5187*T1^9*T2^4 - 
     49*T1^10*T2^4 + 774*T2^5 + 6027*T1*T2^5 - 34369*T1^2*T2^5 + 
     12970*T1^3*T2^5 + 172439*T1^4*T2^5 - 274223*T1^5*T2^5 + 
     105037*T1^6*T2^5 + 83762*T1^7*T2^5 - 66122*T1^8*T2^5 + 10766*T1^9*T2^5 + 
     1491*T1^10*T2^5 - 171*T1^11*T2^5 - 111*T2^6 - 3297*T1*T2^6 + 
     4494*T1^2*T2^6 + 50982*T1^3*T2^6 - 165881*T1^4*T2^6 + 105037*T1^5*T2^6 + 
     128256*T1^6*T2^6 - 215033*T1^7*T2^6 + 84293*T1^8*T2^6 + 4482*T1^9*T2^6 - 
     8478*T1^10*T2^6 + 861*T1^11*T2^6 + 51*T1^12*T2^6 + 585*T1*T2^7 + 
     3633*T1^2*T2^7 - 26404*T1^3*T2^7 + 30994*T1^4*T2^7 + 83762*T1^5*T2^7 - 
     215033*T1^6*T2^7 + 164227*T1^7*T2^7 - 4915*T1^8*T2^7 - 48098*T1^9*T2^7 + 
     18731*T1^10*T2^7 - 903*T1^11*T2^7 - 360*T1^12*T2^7 - 1111*T1^2*T2^8 + 
     2247*T1^3*T2^8 + 14696*T1^4*T2^8 - 66122*T1^5*T2^8 + 84293*T1^6*T2^8 - 
     4915*T1^7*T2^8 - 80179*T1^8*T2^8 + 67042*T1^9*T2^8 - 14974*T1^10*T2^8 - 
     2415*T1^11*T2^8 + 1013*T1^12*T2^8 + 794*T1^3*T2^9 - 5187*T1^4*T2^9 + 
     10766*T1^5*T2^9 + 4482*T1^6*T2^9 - 48098*T1^7*T2^9 + 67042*T1^8*T2^9 - 
     33402*T1^9*T2^9 - 2509*T1^10*T2^9 + 6405*T1^11*T2^9 - 1393*T1^12*T2^9 - 
     49*T1^4*T2^10 + 1491*T1^5*T2^10 - 8478*T1^6*T2^10 + 18731*T1^7*T2^10 - 
     14974*T1^8*T2^10 - 2509*T1^9*T2^10 + 11346*T1^10*T2^10 - 
     5943*T1^11*T2^10 + 1013*T1^12*T2^10 - 171*T1^5*T2^11 + 861*T1^6*T2^11 - 
     903*T1^7*T2^11 - 2415*T1^8*T2^11 + 6405*T1^9*T2^11 - 5943*T1^10*T2^11 + 
     2373*T1^11*T2^11 - 360*T1^12*T2^11 + 51*T1^6*T2^12 - 360*T1^7*T2^12 + 
     1013*T1^8*T2^12 - 1393*T1^9*T2^12 + 1013*T1^10*T2^12 - 360*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 341] -> 
  {(1 - 8*T + 26*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   ((1 - 8*T1 + 26*T1^2 - 49*T1^3 + 61*T1^4 - 49*T1^5 + 26*T1^6 - 8*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 24*T1*T2 + 56*T1^2*T2^2 - 73*T1^3*T2^3 + 
      56*T1^4*T2^4 - 24*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 8*T2 + 26*T2^2 - 
      49*T2^3 + 61*T2^4 - 49*T2^5 + 26*T2^6 - 8*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 342] -> 
  {(1 - 8*T + 26*T^2 - 51*T^3 + 65*T^4 - 51*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 204*T1^3 - 260*T1^4 + 204*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 1008*T1^3*T2 + 
     856*T1^4*T2 - 72*T1^5*T2 - 392*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1220*T1^2*T2^2 + 727*T1^3*T2^2 + 
     1684*T1^4*T2^2 - 4530*T1^5*T2^2 + 3712*T1^6*T2^2 - 1509*T1^7*T2^2 + 
     80*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 204*T2^3 - 1008*T1*T2^3 + 
     727*T1^2*T2^3 + 2553*T1^3*T2^3 - 8177*T1^4*T2^3 + 10278*T1^5*T2^3 - 
     2069*T1^6*T2^3 - 3330*T1^7*T2^3 + 3437*T1^8*T2^3 - 1379*T1^9*T2^3 + 
     8*T1^10*T2^3 + 51*T1^11*T2^3 - 260*T2^4 + 856*T1*T2^4 + 1684*T1^2*T2^4 - 
     8177*T1^3*T2^4 + 13648*T1^4*T2^4 - 7924*T1^5*T2^4 - 11464*T1^6*T2^4 + 
     12720*T1^7*T2^4 - 4800*T1^8*T2^4 - 1037*T1^9*T2^4 + 1916*T1^10*T2^4 - 
     408*T1^11*T2^4 + 204*T2^5 - 72*T1*T2^5 - 4530*T1^2*T2^5 + 
     10278*T1^3*T2^5 - 7924*T1^4*T2^5 - 9875*T1^5*T2^5 + 30921*T1^6*T2^5 - 
     11445*T1^7*T2^5 - 8393*T1^8*T2^5 + 11537*T1^9*T2^5 - 5343*T1^10*T2^5 - 
     6*T1^11*T2^5 + 408*T1^12*T2^5 - 51*T1^13*T2^5 - 104*T2^6 - 392*T1*T2^6 + 
     3712*T1^2*T2^6 - 2069*T1^3*T2^6 - 11464*T1^4*T2^6 + 30921*T1^5*T2^6 - 
     30586*T1^6*T2^6 - 17412*T1^7*T2^6 + 34958*T1^8*T2^6 - 17927*T1^9*T2^6 - 
     56*T1^10*T2^6 + 5367*T1^11*T2^6 - 1908*T1^12*T2^6 - 8*T1^13*T2^6 + 
     52*T1^14*T2^6 + 32*T2^7 + 368*T1*T2^7 - 1509*T1^2*T2^7 - 
     3330*T1^3*T2^7 + 12720*T1^4*T2^7 - 11445*T1^5*T2^7 - 17412*T1^6*T2^7 + 
     64991*T1^7*T2^7 - 48099*T1^8*T2^7 + 73*T1^9*T2^7 + 17957*T1^10*T2^7 - 
     11473*T1^11*T2^7 + 995*T1^12*T2^7 + 1377*T1^13*T2^7 - 224*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 + 80*T1^2*T2^8 + 3437*T1^3*T2^8 - 
     4800*T1^4*T2^8 - 8393*T1^5*T2^8 + 34958*T1^6*T2^8 - 48099*T1^7*T2^8 + 
     12*T1^8*T2^8 + 48043*T1^9*T2^8 - 35048*T1^10*T2^8 + 8305*T1^11*T2^8 + 
     4824*T1^12*T2^8 - 3417*T1^13*T2^8 - 80*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 224*T1^2*T2^9 - 1379*T1^3*T2^9 - 
     1037*T1^4*T2^9 + 11537*T1^5*T2^9 - 17927*T1^6*T2^9 + 73*T1^7*T2^9 + 
     48043*T1^8*T2^9 - 65047*T1^9*T2^9 + 17558*T1^10*T2^9 + 
     11475*T1^11*T2^9 - 12656*T1^12*T2^9 + 3288*T1^13*T2^9 + 
     1507*T1^14*T2^9 - 368*T1^15*T2^9 - 32*T1^16*T2^9 - 52*T1^2*T2^10 + 
     8*T1^3*T2^10 + 1916*T1^4*T2^10 - 5343*T1^5*T2^10 - 56*T1^6*T2^10 + 
     17957*T1^7*T2^10 - 35048*T1^8*T2^10 + 17558*T1^9*T2^10 + 
     30496*T1^10*T2^10 - 30891*T1^11*T2^10 + 11352*T1^12*T2^10 + 
     2093*T1^13*T2^10 - 3704*T1^14*T2^10 + 392*T1^15*T2^10 + 
     104*T1^16*T2^10 + 51*T1^3*T2^11 - 408*T1^4*T2^11 - 6*T1^5*T2^11 + 
     5367*T1^6*T2^11 - 11473*T1^7*T2^11 + 8305*T1^8*T2^11 + 
     11475*T1^9*T2^11 - 30891*T1^10*T2^11 + 9787*T1^11*T2^11 + 
     7988*T1^12*T2^11 - 10254*T1^13*T2^11 + 4518*T1^14*T2^11 + 
     72*T1^15*T2^11 - 204*T1^16*T2^11 + 408*T1^5*T2^12 - 1908*T1^6*T2^12 + 
     995*T1^7*T2^12 + 4824*T1^8*T2^12 - 12656*T1^9*T2^12 + 
     11352*T1^10*T2^12 + 7988*T1^11*T2^12 - 13624*T1^12*T2^12 + 
     8135*T1^13*T2^12 - 1676*T1^14*T2^12 - 856*T1^15*T2^12 + 
     260*T1^16*T2^12 - 51*T1^5*T2^13 - 8*T1^6*T2^13 + 1377*T1^7*T2^13 - 
     3417*T1^8*T2^13 + 3288*T1^9*T2^13 + 2093*T1^10*T2^13 - 
     10254*T1^11*T2^13 + 8135*T1^12*T2^13 - 2533*T1^13*T2^13 - 
     729*T1^14*T2^13 + 1008*T1^15*T2^13 - 204*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 80*T1^8*T2^14 + 1507*T1^9*T2^14 - 3704*T1^10*T2^14 + 
     4518*T1^11*T2^14 - 1676*T1^12*T2^14 - 729*T1^13*T2^14 + 
     1220*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 392*T1^10*T2^15 + 72*T1^11*T2^15 - 
     856*T1^12*T2^15 + 1008*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     204*T1^11*T2^16 + 260*T1^12*T2^16 - 204*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 343] -> 
  {(3 - 19*T + 47*T^2 - 61*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 704*T1 - 1741*T1^2 + 2257*T1^3 - 1741*T1^4 + 704*T1^5 - 111*T1^6 + 
     704*T2 - 3929*T1*T2 + 7652*T1^2*T2 - 5948*T1^3*T2 + 208*T1^4*T2 + 
     3890*T1^5*T2 - 2675*T1^6*T2 + 533*T1^7*T2 - 1741*T2^2 + 7652*T1*T2^2 - 
     6783*T1^2*T2^2 - 11793*T1^3*T2^2 + 27183*T1^4*T2^2 - 23637*T1^5*T2^2 + 
     5625*T1^6*T2^2 + 2294*T1^7*T2^2 - 895*T1^8*T2^2 + 2257*T2^3 - 
     5948*T1*T2^3 - 11793*T1^2*T2^3 + 49460*T1^3*T2^3 - 49279*T1^4*T2^3 + 
     10931*T1^5*T2^3 + 25658*T1^6*T2^3 - 17950*T1^7*T2^3 + 1804*T1^8*T2^3 + 
     610*T1^9*T2^3 - 1741*T2^4 + 208*T1*T2^4 + 27183*T1^2*T2^4 - 
     49279*T1^3*T2^4 - 2413*T1^4*T2^4 + 66645*T1^5*T2^4 - 74953*T1^6*T2^4 + 
     18309*T1^7*T2^4 + 9649*T1^8*T2^4 - 3554*T1^9*T2^4 - 49*T1^10*T2^4 + 
     704*T2^5 + 3890*T1*T2^5 - 23637*T1^2*T2^5 + 10931*T1^3*T2^5 + 
     66645*T1^4*T2^5 - 96739*T1^5*T2^5 + 42353*T1^6*T2^5 + 35484*T1^7*T2^5 - 
     34523*T1^8*T2^5 + 5268*T1^9*T2^5 + 1268*T1^10*T2^5 - 151*T1^11*T2^5 - 
     111*T2^6 - 2675*T1*T2^6 + 5625*T1^2*T2^6 + 25658*T1^3*T2^6 - 
     74953*T1^4*T2^6 + 42353*T1^5*T2^6 + 41268*T1^6*T2^6 - 80693*T1^7*T2^6 + 
     33893*T1^8*T2^6 + 6290*T1^9*T2^6 - 6019*T1^10*T2^6 + 631*T1^11*T2^6 + 
     51*T1^12*T2^6 + 533*T1*T2^7 + 2294*T1^2*T2^7 - 17950*T1^3*T2^7 + 
     18309*T1^4*T2^7 + 35484*T1^5*T2^7 - 80693*T1^6*T2^7 + 58399*T1^7*T2^7 + 
     4323*T1^8*T2^7 - 27145*T1^9*T2^7 + 10955*T1^10*T2^7 - 328*T1^11*T2^7 - 
     322*T1^12*T2^7 - 895*T1^2*T2^8 + 1804*T1^3*T2^8 + 9649*T1^4*T2^8 - 
     34523*T1^5*T2^8 + 33893*T1^6*T2^8 + 4323*T1^7*T2^8 - 38647*T1^8*T2^8 + 
     33065*T1^9*T2^8 - 7885*T1^10*T2^8 - 1958*T1^11*T2^8 + 797*T1^12*T2^8 + 
     610*T1^3*T2^9 - 3554*T1^4*T2^9 + 5268*T1^5*T2^9 + 6290*T1^6*T2^9 - 
     27145*T1^7*T2^9 + 33065*T1^8*T2^9 - 17512*T1^9*T2^9 - 889*T1^10*T2^9 + 
     4198*T1^11*T2^9 - 1037*T1^12*T2^9 - 49*T1^4*T2^10 + 1268*T1^5*T2^10 - 
     6019*T1^6*T2^10 + 10955*T1^7*T2^10 - 7885*T1^8*T2^10 - 889*T1^9*T2^10 + 
     6389*T1^10*T2^10 - 4090*T1^11*T2^10 + 797*T1^12*T2^10 - 151*T1^5*T2^11 + 
     631*T1^6*T2^11 - 328*T1^7*T2^11 - 1958*T1^8*T2^11 + 4198*T1^9*T2^11 - 
     4090*T1^10*T2^11 + 1885*T1^11*T2^11 - 322*T1^12*T2^11 + 51*T1^6*T2^12 - 
     322*T1^7*T2^12 + 797*T1^8*T2^12 - 1037*T1^9*T2^12 + 797*T1^10*T2^12 - 
     322*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 344] -> 
  {(5 - 17*T + 30*T^2 - 35*T^3 + 30*T^4 - 17*T^5 + 5*T^6)/T^3, 
   -((790 - 2656*T1 + 4656*T1^2 - 5414*T1^3 + 4656*T1^4 - 2656*T1^5 + 
      790*T1^6 - 2656*T2 + 6729*T1*T2 - 8230*T1^2*T2 + 5135*T1^3*T2 - 
      390*T1^4*T2 - 4235*T1^5*T2 + 4859*T1^6*T2 - 2231*T1^7*T2 + 4656*T2^2 - 
      8230*T1*T2^2 + 5337*T1^2*T2^2 + 2149*T1^3*T2^2 - 6183*T1^4*T2^2 + 
      7549*T1^5*T2^2 - 2163*T1^6*T2^2 - 3130*T1^7*T2^2 + 3156*T1^8*T2^2 - 
      5414*T2^3 + 5135*T1*T2^3 + 2149*T1^2*T2^3 - 8639*T1^3*T2^3 + 
      5923*T1^4*T2^3 - 2552*T1^5*T2^3 - 5669*T1^6*T2^3 + 6679*T1^7*T2^3 - 
      1240*T1^8*T2^3 - 2789*T1^9*T2^3 + 4656*T2^4 - 390*T1*T2^4 - 
      6183*T1^2*T2^4 + 5923*T1^3*T2^4 + 2922*T1^4*T2^4 - 5308*T1^5*T2^4 + 
      9342*T1^6*T2^4 - 2827*T1^7*T2^4 - 3953*T1^8*T2^4 + 3860*T1^9*T2^4 + 
      1656*T1^10*T2^4 - 2656*T2^5 - 4235*T1*T2^5 + 7549*T1^2*T2^5 - 
      2552*T1^3*T2^5 - 5308*T1^4*T2^5 + 2653*T1^5*T2^5 - 3037*T1^6*T2^5 - 
      4408*T1^7*T2^5 + 5373*T1^8*T2^5 - 461*T1^9*T2^5 - 3810*T1^10*T2^5 - 
      531*T1^11*T2^5 + 790*T2^6 + 4859*T1*T2^6 - 2163*T1^2*T2^6 - 
      5669*T1^3*T2^6 + 9342*T1^4*T2^6 - 3037*T1^5*T2^6 + 2148*T1^6*T2^6 + 
      3013*T1^7*T2^6 + 302*T1^8*T2^6 - 4499*T1^9*T2^6 + 3989*T1^10*T2^6 + 
      1629*T1^11*T2^6 + 40*T1^12*T2^6 - 2231*T1*T2^7 - 3130*T1^2*T2^7 + 
      6679*T1^3*T2^7 - 2827*T1^4*T2^7 - 4408*T1^5*T2^7 + 3013*T1^6*T2^7 - 
      2677*T1^7*T2^7 - 3508*T1^8*T2^7 + 5098*T1^9*T2^7 - 1331*T1^10*T2^7 - 
      2705*T1^11*T2^7 - 106*T1^12*T2^7 + 3156*T1^2*T2^8 - 1240*T1^3*T2^8 - 
      3953*T1^4*T2^8 + 5373*T1^5*T2^8 + 302*T1^6*T2^8 - 3508*T1^7*T2^8 + 
      6722*T1^8*T2^8 - 3377*T1^9*T2^8 - 1723*T1^10*T2^8 + 3010*T1^11*T2^8 + 
      156*T1^12*T2^8 - 2789*T1^3*T2^9 + 3860*T1^4*T2^9 - 461*T1^5*T2^9 - 
      4499*T1^6*T2^9 + 5098*T1^7*T2^9 - 3377*T1^8*T2^9 - 1529*T1^9*T2^9 + 
      4069*T1^10*T2^9 - 2515*T1^11*T2^9 - 164*T1^12*T2^9 + 1656*T1^4*T2^10 - 
      3810*T1^5*T2^10 + 3989*T1^6*T2^10 - 1331*T1^7*T2^10 - 1723*T1^8*T2^10 + 
      4069*T1^9*T2^10 - 3511*T1^10*T2^10 + 1290*T1^11*T2^10 + 
      156*T1^12*T2^10 - 531*T1^5*T2^11 + 1629*T1^6*T2^11 - 2705*T1^7*T2^11 + 
      3010*T1^8*T2^11 - 2515*T1^9*T2^11 + 1290*T1^10*T2^11 - 
      241*T1^11*T2^11 - 106*T1^12*T2^11 + 40*T1^6*T2^12 - 106*T1^7*T2^12 + 
      156*T1^8*T2^12 - 164*T1^9*T2^12 + 156*T1^10*T2^12 - 106*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 345] -> {((2 - 3*T + 2*T^2)*(4 - 7*T + 4*T^2))/T^2, 
   -((2328 - 7482*T1 + 10626*T1^2 - 7482*T1^3 + 2328*T1^4 - 7482*T2 + 
      18268*T1*T2 - 15540*T1^2*T2 - 2436*T1^3*T2 + 11196*T1^4*T2 - 
      5818*T1^5*T2 + 10626*T2^2 - 15540*T1*T2^2 - 5709*T1^2*T2^2 + 
      32521*T1^3*T2^2 - 22877*T1^4*T2^2 - 148*T1^5*T2^2 + 5890*T1^6*T2^2 - 
      7482*T2^3 - 2436*T1*T2^3 + 32521*T1^2*T2^3 - 39456*T1^3*T2^3 - 
      66*T1^4*T2^3 + 22901*T1^5*T2^3 - 10964*T1^6*T2^3 - 2490*T1^7*T2^3 + 
      2328*T2^4 + 11196*T1*T2^4 - 22877*T1^2*T2^4 - 66*T1^3*T2^4 + 
      39528*T1^4*T2^4 - 32618*T1^5*T2^4 + 2803*T1^6*T2^4 + 7036*T1^7*T2^4 + 
      280*T1^8*T2^4 - 5818*T1*T2^5 - 148*T1^2*T2^5 + 22901*T1^3*T2^5 - 
      32618*T1^4*T2^5 + 6772*T1^5*T2^5 + 13281*T1^6*T2^5 - 8676*T1^7*T2^5 - 
      826*T1^8*T2^5 + 5890*T1^2*T2^6 - 10964*T1^3*T2^6 + 2803*T1^4*T2^6 + 
      13281*T1^5*T2^6 - 14365*T1^6*T2^6 + 4428*T1^7*T2^6 + 1154*T1^8*T2^6 - 
      2490*T1^3*T2^7 + 7036*T1^4*T2^7 - 8676*T1^5*T2^7 + 4428*T1^6*T2^7 - 
      36*T1^7*T2^7 - 826*T1^8*T2^7 + 280*T1^4*T2^8 - 826*T1^5*T2^8 + 
      1154*T1^6*T2^8 - 826*T1^7*T2^8 + 280*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 346] -> 
  {((1 - T + T^2)*(2 - 9*T + 16*T^2 - 17*T^3 + 16*T^4 - 9*T^5 + 2*T^6))/T^4, 
   (-33 + 180*T1 - 439*T1^2 + 682*T1^3 - 797*T1^4 + 682*T1^5 - 439*T1^6 + 
     180*T1^7 - 33*T1^8 + 180*T2 - 848*T1*T2 + 1662*T1^2*T2 - 1927*T1^3*T2 + 
     1553*T1^4*T2 - 449*T1^5*T2 - 409*T1^6*T2 + 826*T1^7*T2 - 562*T1^8*T2 + 
     136*T1^9*T2 - 439*T2^2 + 1662*T1*T2^2 - 2052*T1^2*T2^2 + 480*T1^3*T2^2 + 
     1687*T1^4*T2^2 - 4154*T1^5*T2^2 + 4063*T1^6*T2^2 - 2868*T1^7*T2^2 + 
     648*T1^8*T2^2 + 474*T1^9*T2^2 - 223*T1^10*T2^2 + 682*T2^3 - 
     1927*T1*T2^3 + 480*T1^2*T2^3 + 3405*T1^3*T2^3 - 5562*T1^4*T2^3 + 
     6803*T1^5*T2^3 - 2836*T1^6*T2^3 - 189*T1^7*T2^3 + 3207*T1^8*T2^3 - 
     2463*T1^9*T2^3 + 251*T1^10*T2^3 + 178*T1^11*T2^3 - 797*T2^4 + 
     1553*T1*T2^4 + 1687*T1^2*T2^4 - 5562*T1^3*T2^4 + 4653*T1^4*T2^4 - 
     3600*T1^5*T2^4 - 3289*T1^6*T2^4 + 4576*T1^7*T2^4 - 5567*T1^8*T2^4 + 
     1074*T1^9*T2^4 + 2107*T1^10*T2^4 - 911*T1^11*T2^4 - 13*T1^12*T2^4 + 
     682*T2^5 - 449*T1*T2^5 - 4154*T1^2*T2^5 + 6803*T1^3*T2^5 - 
     3600*T1^4*T2^5 + 2597*T1^5*T2^5 + 4737*T1^6*T2^5 - 2844*T1^7*T2^5 + 
     2303*T1^8*T2^5 + 3876*T1^9*T2^5 - 4474*T1^10*T2^5 + 25*T1^11*T2^5 + 
     937*T1^12*T2^5 - 158*T1^13*T2^5 - 439*T2^6 - 409*T1*T2^6 + 
     4063*T1^2*T2^6 - 2836*T1^3*T2^6 - 3289*T1^4*T2^6 + 4737*T1^5*T2^6 - 
     11418*T1^6*T2^6 + 5416*T1^7*T2^6 - 2394*T1^8*T2^6 - 4041*T1^9*T2^6 + 
     1121*T1^10*T2^6 + 4346*T1^11*T2^6 - 2225*T1^12*T2^6 - 277*T1^13*T2^6 + 
     209*T1^14*T2^6 + 180*T2^7 + 826*T1*T2^7 - 2868*T1^2*T2^7 - 
     189*T1^3*T2^7 + 4576*T1^4*T2^7 - 2844*T1^5*T2^7 + 5416*T1^6*T2^7 + 
     2909*T1^7*T2^7 - 4059*T1^8*T2^7 + 4480*T1^9*T2^7 + 2343*T1^10*T2^7 - 
     5700*T1^11*T2^7 - 510*T1^12*T2^7 + 2505*T1^13*T2^7 - 450*T1^14*T2^7 - 
     128*T1^15*T2^7 - 33*T2^8 - 562*T1*T2^8 + 648*T1^2*T2^8 + 
     3207*T1^3*T2^8 - 5567*T1^4*T2^8 + 2303*T1^5*T2^8 - 2394*T1^6*T2^8 - 
     4059*T1^7*T2^8 + 2376*T1^8*T2^8 + 959*T1^9*T2^8 - 4338*T1^10*T2^8 + 
     2261*T1^11*T2^8 + 5433*T1^12*T2^8 - 3555*T1^13*T2^8 - 642*T1^14*T2^8 + 
     538*T1^15*T2^8 + 31*T1^16*T2^8 + 136*T1*T2^9 + 474*T1^2*T2^9 - 
     2463*T1^3*T2^9 + 1074*T1^4*T2^9 + 3876*T1^5*T2^9 - 4041*T1^6*T2^9 + 
     4480*T1^7*T2^9 + 959*T1^8*T2^9 - 6009*T1^9*T2^9 + 3544*T1^10*T2^9 + 
     1146*T1^11*T2^9 - 6400*T1^12*T2^9 + 753*T1^13*T2^9 + 2910*T1^14*T2^9 - 
     802*T1^15*T2^9 - 172*T1^16*T2^9 - 223*T1^2*T2^10 + 251*T1^3*T2^10 + 
     2107*T1^4*T2^10 - 4474*T1^5*T2^10 + 1121*T1^6*T2^10 + 2343*T1^7*T2^10 - 
     4338*T1^8*T2^10 + 3544*T1^9*T2^10 + 4686*T1^10*T2^10 - 
     6435*T1^11*T2^10 + 5531*T1^12*T2^10 + 2708*T1^13*T2^10 - 
     4181*T1^14*T2^10 + 383*T1^15*T2^10 + 425*T1^16*T2^10 + 178*T1^3*T2^11 - 
     911*T1^4*T2^11 + 25*T1^5*T2^11 + 4346*T1^6*T2^11 - 5700*T1^7*T2^11 + 
     2261*T1^8*T2^11 + 1146*T1^9*T2^11 - 6435*T1^10*T2^11 + 
     1967*T1^11*T2^11 + 1776*T1^12*T2^11 - 6931*T1^13*T2^11 + 
     4204*T1^14*T2^11 + 475*T1^15*T2^11 - 662*T1^16*T2^11 - 13*T1^4*T2^12 + 
     937*T1^5*T2^12 - 2225*T1^6*T2^12 - 510*T1^7*T2^12 + 5433*T1^8*T2^12 - 
     6400*T1^9*T2^12 + 5531*T1^10*T2^12 + 1776*T1^11*T2^12 - 
     4787*T1^12*T2^12 + 6126*T1^13*T2^12 - 1805*T1^14*T2^12 - 
     1527*T1^15*T2^12 + 771*T1^16*T2^12 - 158*T1^5*T2^13 - 277*T1^6*T2^13 + 
     2505*T1^7*T2^13 - 3555*T1^8*T2^13 + 753*T1^9*T2^13 + 2708*T1^10*T2^13 - 
     6931*T1^11*T2^13 + 6126*T1^12*T2^13 - 3753*T1^13*T2^13 - 
     438*T1^14*T2^13 + 1901*T1^15*T2^13 - 662*T1^16*T2^13 + 209*T1^6*T2^14 - 
     450*T1^7*T2^14 - 642*T1^8*T2^14 + 2910*T1^9*T2^14 - 4181*T1^10*T2^14 + 
     4204*T1^11*T2^14 - 1805*T1^12*T2^14 - 438*T1^13*T2^14 + 
     2058*T1^14*T2^14 - 1638*T1^15*T2^14 + 425*T1^16*T2^14 - 128*T1^7*T2^15 + 
     538*T1^8*T2^15 - 802*T1^9*T2^15 + 383*T1^10*T2^15 + 475*T1^11*T2^15 - 
     1527*T1^12*T2^15 + 1901*T1^13*T2^15 - 1638*T1^14*T2^15 + 
     824*T1^15*T2^15 - 172*T1^16*T2^15 + 31*T1^8*T2^16 - 172*T1^9*T2^16 + 
     425*T1^10*T2^16 - 662*T1^11*T2^16 + 771*T1^12*T2^16 - 662*T1^13*T2^16 + 
     425*T1^14*T2^16 - 172*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 347] -> 
  {((1 - T + T^2)*(4 - 19*T + 31*T^2 - 19*T^3 + 4*T^4))/T^3, 
   (2*(-128 + 730*T1 - 1698*T1^2 + 2160*T1^3 - 1698*T1^4 + 730*T1^5 - 
      128*T1^6 + 730*T2 - 3625*T1*T2 + 6607*T1^2*T2 - 5141*T1^3*T2 + 
      517*T1^4*T2 + 3065*T1^5*T2 - 2383*T1^6*T2 + 546*T1^7*T2 - 1698*T2^2 + 
      6607*T1*T2^2 - 5750*T1^2*T2^2 - 7722*T1^3*T2^2 + 18988*T1^4*T2^2 - 
      17658*T1^5*T2^2 + 5050*T1^6*T2^2 + 1639*T1^7*T2^2 - 834*T1^8*T2^2 + 
      2160*T2^3 - 5141*T1*T2^3 - 7722*T1^2*T2^3 + 33111*T1^3*T2^3 - 
      34015*T1^4*T2^3 + 10490*T1^5*T2^3 + 15516*T1^6*T2^3 - 13311*T1^7*T2^3 + 
      1897*T1^8*T2^3 + 504*T1^9*T2^3 - 1698*T2^4 + 517*T1*T2^4 + 
      18988*T1^2*T2^4 - 34015*T1^3*T2^4 + 3494*T1^4*T2^4 + 36667*T1^5*T2^4 - 
      47908*T1^6*T2^4 + 15527*T1^7*T2^4 + 5815*T1^8*T2^4 - 3071*T1^9*T2^4 + 
      30*T1^10*T2^4 + 730*T2^5 + 3065*T1*T2^5 - 17658*T1^2*T2^5 + 
      10490*T1^3*T2^5 + 36667*T1^4*T2^5 - 59041*T1^5*T2^5 + 32867*T1^6*T2^5 + 
      16795*T1^7*T2^5 - 23941*T1^8*T2^5 + 5319*T1^9*T2^5 + 903*T1^10*T2^5 - 
      190*T1^11*T2^5 - 128*T2^6 - 2383*T1*T2^6 + 5050*T1^2*T2^6 + 
      15516*T1^3*T2^6 - 47908*T1^4*T2^6 + 32867*T1^5*T2^6 + 17016*T1^6*T2^6 - 
      49473*T1^7*T2^6 + 27482*T1^8*T2^6 + 2268*T1^9*T2^6 - 5028*T1^10*T2^6 + 
      745*T1^11*T2^6 + 64*T1^12*T2^6 + 546*T1*T2^7 + 1639*T1^2*T2^7 - 
      13311*T1^3*T2^7 + 15527*T1^4*T2^7 + 16795*T1^5*T2^7 - 49473*T1^6*T2^7 + 
      42435*T1^7*T2^7 - 3077*T1^8*T2^7 - 18904*T1^9*T2^7 + 9666*T1^10*T2^7 - 
      523*T1^11*T2^7 - 374*T1^12*T2^7 - 834*T1^2*T2^8 + 1897*T1^3*T2^8 + 
      5815*T1^4*T2^8 - 23941*T1^5*T2^8 + 27482*T1^6*T2^8 - 3077*T1^7*T2^8 - 
      23920*T1^8*T2^8 + 25601*T1^9*T2^8 - 7358*T1^10*T2^8 - 1691*T1^11*T2^8 + 
      894*T1^12*T2^8 + 504*T1^3*T2^9 - 3071*T1^4*T2^9 + 5319*T1^5*T2^9 + 
      2268*T1^6*T2^9 - 18904*T1^7*T2^9 + 25601*T1^8*T2^9 - 15327*T1^9*T2^9 - 
      270*T1^10*T2^9 + 3967*T1^11*T2^9 - 1152*T1^12*T2^9 + 30*T1^4*T2^10 + 
      903*T1^5*T2^10 - 5028*T1^6*T2^10 + 9666*T1^7*T2^10 - 7358*T1^8*T2^10 - 
      270*T1^9*T2^10 + 5772*T1^10*T2^10 - 4065*T1^11*T2^10 + 
      894*T1^12*T2^10 - 190*T1^5*T2^11 + 745*T1^6*T2^11 - 523*T1^7*T2^11 - 
      1691*T1^8*T2^11 + 3967*T1^9*T2^11 - 4065*T1^10*T2^11 + 
      1987*T1^11*T2^11 - 374*T1^12*T2^11 + 64*T1^6*T2^12 - 374*T1^7*T2^12 + 
      894*T1^8*T2^12 - 1152*T1^9*T2^12 + 894*T1^10*T2^12 - 374*T1^11*T2^12 + 
      64*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 348] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)^2)/T^3), 
   -(((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
      (-25 + 136*T1 - 235*T1^2 + 136*T1^3 - 25*T1^4 + 136*T2 - 672*T1*T2 + 
       912*T1^2*T2 - 108*T1^3*T2 - 230*T1^4*T2 + 68*T1^5*T2 - 235*T2^2 + 
       912*T1*T2^2 - 247*T1^2*T2^2 - 2083*T1^3*T2^2 + 1691*T1^4*T2^2 - 
       342*T1^5*T2^2 - 7*T1^6*T2^2 + 136*T2^3 - 108*T1*T2^3 - 
       2083*T1^2*T2^3 + 4976*T1^3*T2^3 - 2870*T1^4*T2^3 + 7*T1^5*T2^3 + 
       362*T1^6*T2^3 - 60*T1^7*T2^3 - 25*T2^4 - 230*T1*T2^4 + 
       1691*T1^2*T2^4 - 2870*T1^3*T2^4 + 60*T1^4*T2^4 + 2850*T1^5*T2^4 - 
       1725*T1^6*T2^4 + 210*T1^7*T2^4 + 23*T1^8*T2^4 + 68*T1*T2^5 - 
       342*T1^2*T2^5 + 7*T1^3*T2^5 + 2850*T1^4*T2^5 - 4996*T1^5*T2^5 + 
       2097*T1^6*T2^5 + 128*T1^7*T2^5 - 128*T1^8*T2^5 - 7*T1^2*T2^6 + 
       362*T1^3*T2^6 - 1725*T1^4*T2^6 + 2097*T1^5*T2^6 + 213*T1^6*T2^6 - 
       892*T1^7*T2^6 + 221*T1^8*T2^6 - 60*T1^3*T2^7 + 210*T1^4*T2^7 + 
       128*T1^5*T2^7 - 892*T1^6*T2^7 + 652*T1^7*T2^7 - 128*T1^8*T2^7 + 
       23*T1^4*T2^8 - 128*T1^5*T2^8 + 221*T1^6*T2^8 - 128*T1^7*T2^8 + 
       23*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 349] -> 
  {(1 - 8*T + 26*T^2 - 43*T^3 + 49*T^4 - 43*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 52*T1^2 + 86*T1^3 - 98*T1^4 + 86*T1^5 - 52*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 352*T1^2*T2 - 480*T1^3*T2 + 440*T1^4*T2 - 
     296*T1^5*T2 + 72*T1^6*T2 + 80*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     52*T2^2 + 352*T1*T2^2 - 842*T1^2*T2^2 + 581*T1^3*T2^2 + 178*T1^4*T2^2 - 
     864*T1^5*T2^2 + 1374*T1^6*T2^2 - 1239*T1^7*T2^2 + 458*T1^8*T2^2 - 
     64*T1^9*T2^2 + 86*T2^3 - 480*T1*T2^3 + 581*T1^2*T2^3 + 1657*T1^3*T2^3 - 
     4327*T1^4*T2^3 + 5336*T1^5*T2^3 - 4899*T1^6*T2^3 + 2672*T1^7*T2^3 + 
     261*T1^8*T2^3 - 901*T1^9*T2^3 + 344*T1^10*T2^3 - 43*T1^11*T2^3 - 
     98*T2^4 + 440*T1*T2^4 + 178*T1^2*T2^4 - 4327*T1^3*T2^4 + 
     7008*T1^4*T2^4 - 4358*T1^5*T2^4 + 102*T1^6*T2^4 + 4606*T1^7*T2^4 - 
     7664*T1^8*T2^4 + 4445*T1^9*T2^4 - 230*T1^10*T2^4 - 440*T1^11*T2^4 + 
     98*T1^12*T2^4 + 86*T2^5 - 296*T1*T2^5 - 864*T1^2*T2^5 + 5336*T1^3*T2^5 - 
     4358*T1^4*T2^5 - 6199*T1^5*T2^5 + 13201*T1^6*T2^5 - 15821*T1^7*T2^5 + 
     13371*T1^8*T2^5 - 1161*T1^9*T2^5 - 5933*T1^10*T2^5 + 1836*T1^11*T2^5 + 
     248*T1^12*T2^5 - 129*T1^13*T2^5 - 52*T2^6 + 72*T1*T2^6 + 
     1374*T1^2*T2^6 - 4899*T1^3*T2^6 + 102*T1^4*T2^6 + 13201*T1^5*T2^6 - 
     11510*T1^6*T2^6 + 5290*T1^7*T2^6 + 2834*T1^8*T2^6 - 16639*T1^9*T2^6 + 
     12278*T1^10*T2^6 + 3785*T1^11*T2^6 - 3030*T1^12*T2^6 + 200*T1^13*T2^6 + 
     104*T1^14*T2^6 + 16*T2^7 + 80*T1*T2^7 - 1239*T1^2*T2^7 + 
     2672*T1^3*T2^7 + 4606*T1^4*T2^7 - 15821*T1^5*T2^7 + 5290*T1^6*T2^7 - 
     1773*T1^7*T2^7 + 953*T1^8*T2^7 + 3799*T1^9*T2^7 + 11565*T1^10*T2^7 - 
     21659*T1^11*T2^7 + 2765*T1^12*T2^7 + 2271*T1^13*T2^7 - 512*T1^14*T2^7 - 
     40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 458*T1^2*T2^8 + 261*T1^3*T2^8 - 
     7664*T1^4*T2^8 + 13371*T1^5*T2^8 + 2834*T1^6*T2^8 + 953*T1^7*T2^8 - 
     4164*T1^8*T2^8 + 903*T1^9*T2^8 - 13108*T1^10*T2^8 + 8021*T1^11*T2^8 + 
     16936*T1^12*T2^8 - 8033*T1^13*T2^8 + 298*T1^14*T2^8 + 272*T1^15*T2^8 + 
     6*T1^16*T2^8 + 8*T1*T2^9 - 64*T1^2*T2^9 - 901*T1^3*T2^9 + 
     4445*T1^4*T2^9 - 1161*T1^5*T2^9 - 16639*T1^6*T2^9 + 3799*T1^7*T2^9 + 
     903*T1^8*T2^9 + 3629*T1^9*T2^9 + 2308*T1^10*T2^9 + 10747*T1^11*T2^9 - 
     27426*T1^12*T2^9 + 4538*T1^13*T2^9 + 2609*T1^14*T2^9 - 656*T1^15*T2^9 - 
     48*T1^16*T2^9 + 344*T1^3*T2^10 - 230*T1^4*T2^10 - 5933*T1^5*T2^10 + 
     12278*T1^6*T2^10 + 11565*T1^7*T2^10 - 13108*T1^8*T2^10 + 
     2308*T1^9*T2^10 + 1236*T1^10*T2^10 - 18275*T1^11*T2^10 + 
     24454*T1^12*T2^10 + 2751*T1^13*T2^10 - 4634*T1^14*T2^10 + 
     472*T1^15*T2^10 + 156*T1^16*T2^10 - 43*T1^3*T2^11 - 440*T1^4*T2^11 + 
     1836*T1^5*T2^11 + 3785*T1^6*T2^11 - 21659*T1^7*T2^11 + 8021*T1^8*T2^11 + 
     10747*T1^9*T2^11 - 18275*T1^10*T2^11 + 27591*T1^11*T2^11 - 
     18462*T1^12*T2^11 - 7484*T1^13*T2^11 + 4536*T1^14*T2^11 + 
     104*T1^15*T2^11 - 258*T1^16*T2^11 + 98*T1^4*T2^12 + 248*T1^5*T2^12 - 
     3030*T1^6*T2^12 + 2765*T1^7*T2^12 + 16936*T1^8*T2^12 - 
     27426*T1^9*T2^12 + 24454*T1^10*T2^12 - 18462*T1^11*T2^12 + 
     2264*T1^12*T2^12 + 11537*T1^13*T2^12 - 3438*T1^14*T2^12 - 
     632*T1^15*T2^12 + 294*T1^16*T2^12 - 129*T1^5*T2^13 + 200*T1^6*T2^13 + 
     2271*T1^7*T2^13 - 8033*T1^8*T2^13 + 4538*T1^9*T2^13 + 2751*T1^10*T2^13 - 
     7484*T1^11*T2^13 + 11537*T1^12*T2^13 - 9429*T1^13*T2^13 + 
     789*T1^14*T2^13 + 1024*T1^15*T2^13 - 258*T1^16*T2^13 + 104*T1^6*T2^14 - 
     512*T1^7*T2^14 + 298*T1^8*T2^14 + 2609*T1^9*T2^14 - 4634*T1^10*T2^14 + 
     4536*T1^11*T2^14 - 3438*T1^12*T2^14 + 789*T1^13*T2^14 + 
     1598*T1^14*T2^14 - 928*T1^15*T2^14 + 156*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 656*T1^9*T2^15 + 472*T1^10*T2^15 + 104*T1^11*T2^15 - 
     632*T1^12*T2^15 + 1024*T1^13*T2^15 - 928*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 156*T1^10*T2^16 - 
     258*T1^11*T2^16 + 294*T1^12*T2^16 - 258*T1^13*T2^16 + 156*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 350] -> 
  {-((5 - 25*T + 52*T^2 - 65*T^3 + 52*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((-645 + 3205*T1 - 6614*T1^2 + 8245*T1^3 - 6614*T1^4 + 3205*T1^5 - 
      645*T1^6 + 3205*T2 - 13377*T1*T2 + 20162*T1^2*T2 - 14665*T1^3*T2 - 
      40*T1^4*T2 + 10537*T1^5*T2 - 9627*T1^6*T2 + 2580*T1^7*T2 - 6614*T2^2 + 
      20162*T1*T2^2 - 8434*T1^2*T2^2 - 27040*T1^3*T2^2 + 55522*T1^4*T2^2 - 
      47840*T1^5*T2^2 + 16006*T1^6*T2^2 + 7162*T1^7*T2^2 - 4014*T1^8*T2^2 + 
      8245*T2^3 - 14665*T1*T2^3 - 27040*T1^2*T2^3 + 71815*T1^3*T2^3 - 
      67563*T1^4*T2^3 + 9462*T1^5*T2^3 + 39965*T1^6*T2^3 - 38740*T1^7*T2^3 + 
      3210*T1^8*T2^3 + 3370*T1^9*T2^3 - 6614*T2^4 - 40*T1*T2^4 + 
      55522*T1^2*T2^4 - 67563*T1^3*T2^4 + 11049*T1^4*T2^4 + 62909*T1^5*T2^4 - 
      70071*T1^6*T2^4 + 17587*T1^7*T2^4 + 28352*T1^8*T2^4 - 9790*T1^9*T2^4 - 
      1414*T1^10*T2^4 + 3205*T2^5 + 10537*T1*T2^5 - 47840*T1^2*T2^5 + 
      9462*T1^3*T2^5 + 62909*T1^4*T2^5 - 87591*T1^5*T2^5 + 26319*T1^6*T2^5 + 
      43149*T1^7*T2^5 - 51313*T1^8*T2^5 + 260*T1^9*T2^5 + 6662*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 9627*T1*T2^6 + 16006*T1^2*T2^6 + 
      39965*T1^3*T2^6 - 70071*T1^4*T2^6 + 26319*T1^5*T2^6 + 54084*T1^6*T2^6 - 
      76251*T1^7*T2^6 + 29405*T1^8*T2^6 + 25015*T1^9*T2^6 - 
      11654*T1^10*T2^6 - 877*T1^11*T2^6 + 105*T1^12*T2^6 + 2580*T1*T2^7 + 
      7162*T1^2*T2^7 - 38740*T1^3*T2^7 + 17587*T1^4*T2^7 + 43149*T1^5*T2^7 - 
      76251*T1^6*T2^7 + 37659*T1^7*T2^7 + 23389*T1^8*T2^7 - 43188*T1^9*T2^7 + 
      9360*T1^10*T2^7 + 3287*T1^11*T2^7 - 545*T1^12*T2^7 - 4014*T1^2*T2^8 + 
      3210*T1^3*T2^8 + 28352*T1^4*T2^8 - 51313*T1^5*T2^8 + 29405*T1^6*T2^8 + 
      23389*T1^7*T2^8 - 51715*T1^8*T2^8 + 33837*T1^9*T2^8 + 1182*T1^10*T2^8 - 
      6540*T1^11*T2^8 + 1186*T1^12*T2^8 + 3370*T1^3*T2^9 - 9790*T1^4*T2^9 + 
      260*T1^5*T2^9 + 25015*T1^6*T2^9 - 43188*T1^7*T2^9 + 33837*T1^8*T2^9 - 
      6835*T1^9*T2^9 - 11440*T1^10*T2^9 + 8085*T1^11*T2^9 - 1505*T1^12*T2^9 - 
      1414*T1^4*T2^10 + 6662*T1^5*T2^10 - 11654*T1^6*T2^10 + 
      9360*T1^7*T2^10 + 1182*T1^8*T2^10 - 11440*T1^9*T2^10 + 
      12786*T1^10*T2^10 - 6338*T1^11*T2^10 + 1186*T1^12*T2^10 + 
      80*T1^5*T2^11 - 877*T1^6*T2^11 + 3287*T1^7*T2^11 - 6540*T1^8*T2^11 + 
      8085*T1^9*T2^11 - 6338*T1^10*T2^11 + 2873*T1^11*T2^11 - 
      545*T1^12*T2^11 + 105*T1^6*T2^12 - 545*T1^7*T2^12 + 1186*T1^8*T2^12 - 
      1505*T1^9*T2^12 + 1186*T1^10*T2^12 - 545*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 351] -> 
  {((1 - 4*T + 7*T^2 - 4*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 192*T1^3 - 244*T1^4 + 192*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 840*T1^3*T2 + 
     700*T1^4*T2 - 63*T1^5*T2 - 336*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1322*T1^2*T2^2 + 1417*T1^3*T2^2 + 
     47*T1^4*T2^2 - 2052*T1^5*T2^2 + 1823*T1^6*T2^2 - 551*T1^7*T2^2 - 
     218*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 192*T2^3 - 840*T1*T2^3 + 
     1417*T1^2*T2^3 + 550*T1^3*T2^3 - 4734*T1^4*T2^3 + 6534*T1^5*T2^3 - 
     1410*T1^6*T2^3 - 2430*T1^7*T2^3 + 2398*T1^8*T2^3 - 695*T1^9*T2^3 + 
     48*T1^11*T2^3 - 244*T2^4 + 700*T1*T2^4 + 47*T1^2*T2^4 - 4734*T1^3*T2^4 + 
     8353*T1^4*T2^4 - 2745*T1^5*T2^4 - 11293*T1^6*T2^4 + 12115*T1^7*T2^4 - 
     4559*T1^8*T2^4 - 990*T1^9*T2^4 + 1199*T1^10*T2^4 - 336*T1^11*T2^4 + 
     192*T2^5 - 63*T1*T2^5 - 2052*T1^2*T2^5 + 6534*T1^3*T2^5 - 
     2745*T1^4*T2^5 - 14151*T1^5*T2^5 + 28589*T1^6*T2^5 - 12187*T1^7*T2^5 - 
     6555*T1^8*T2^5 + 9672*T1^9*T2^5 - 3474*T1^10*T2^5 + 3*T1^11*T2^5 + 
     336*T1^12*T2^5 - 48*T1^13*T2^5 - 96*T2^6 - 336*T1*T2^6 + 
     1823*T1^2*T2^6 - 1410*T1^3*T2^6 - 11293*T1^4*T2^6 + 28589*T1^5*T2^6 - 
     22936*T1^6*T2^6 - 16880*T1^7*T2^6 + 33608*T1^8*T2^6 - 17731*T1^9*T2^6 + 
     323*T1^10*T2^6 + 3438*T1^11*T2^6 - 1201*T1^12*T2^6 + 48*T1^14*T2^6 + 
     28*T2^7 + 308*T1*T2^7 - 551*T1^2*T2^7 - 2430*T1^3*T2^7 + 
     12115*T1^4*T2^7 - 12187*T1^5*T2^7 - 16880*T1^6*T2^7 + 54435*T1^7*T2^7 - 
     41533*T1^8*T2^7 - 1088*T1^9*T2^7 + 17501*T1^10*T2^7 - 10074*T1^11*T2^7 + 
     1026*T1^12*T2^7 + 697*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 218*T1^2*T2^8 + 2398*T1^3*T2^8 - 4559*T1^4*T2^8 - 
     6555*T1^5*T2^8 + 33608*T1^6*T2^8 - 41533*T1^7*T2^8 + 1284*T1^8*T2^8 + 
     41205*T1^9*T2^8 - 31000*T1^10*T2^8 + 6387*T1^11*T2^8 + 4857*T1^12*T2^8 - 
     2450*T1^13*T2^8 + 220*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 695*T1^3*T2^9 - 990*T1^4*T2^9 + 
     9672*T1^5*T2^9 - 17731*T1^6*T2^9 - 1088*T1^7*T2^9 + 41205*T1^8*T2^9 - 
     54763*T1^9*T2^9 + 14704*T1^10*T2^9 + 11957*T1^11*T2^9 - 
     12517*T1^12*T2^9 + 2466*T1^13*T2^9 + 553*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 + 1199*T1^4*T2^10 - 3474*T1^5*T2^10 + 
     323*T1^6*T2^10 + 17501*T1^7*T2^10 - 31000*T1^8*T2^10 + 
     14704*T1^9*T2^10 + 25544*T1^10*T2^10 - 28819*T1^11*T2^10 + 
     11939*T1^12*T2^10 + 1374*T1^13*T2^10 - 1825*T1^14*T2^10 + 
     336*T1^15*T2^10 + 96*T1^16*T2^10 + 48*T1^3*T2^11 - 336*T1^4*T2^11 + 
     3*T1^5*T2^11 + 3438*T1^6*T2^11 - 10074*T1^7*T2^11 + 6387*T1^8*T2^11 + 
     11957*T1^9*T2^11 - 28819*T1^10*T2^11 + 13983*T1^11*T2^11 + 
     2343*T1^12*T2^11 - 6570*T1^13*T2^11 + 2058*T1^14*T2^11 + 
     63*T1^15*T2^11 - 192*T1^16*T2^11 + 336*T1^5*T2^12 - 1201*T1^6*T2^12 + 
     1026*T1^7*T2^12 + 4857*T1^8*T2^12 - 12517*T1^9*T2^12 + 
     11939*T1^10*T2^12 + 2343*T1^11*T2^12 - 8055*T1^12*T2^12 + 
     4770*T1^13*T2^12 - 49*T1^14*T2^12 - 700*T1^15*T2^12 + 244*T1^16*T2^12 - 
     48*T1^5*T2^13 + 697*T1^7*T2^13 - 2450*T1^8*T2^13 + 2466*T1^9*T2^13 + 
     1374*T1^10*T2^13 - 6570*T1^11*T2^13 + 4770*T1^12*T2^13 - 
     602*T1^13*T2^13 - 1415*T1^14*T2^13 + 840*T1^15*T2^13 - 192*T1^16*T2^13 + 
     48*T1^6*T2^14 - 189*T1^7*T2^14 + 220*T1^8*T2^14 + 553*T1^9*T2^14 - 
     1825*T1^10*T2^14 + 2058*T1^11*T2^14 - 49*T1^12*T2^14 - 
     1415*T1^13*T2^14 + 1324*T1^14*T2^14 - 525*T1^15*T2^14 + 96*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 336*T1^10*T2^15 + 
     63*T1^11*T2^15 - 700*T1^12*T2^15 + 840*T1^13*T2^15 - 525*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     96*T1^10*T2^16 - 192*T1^11*T2^16 + 244*T1^12*T2^16 - 192*T1^13*T2^16 + 
     96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 352] -> 
  {-((1 - 8*T + 28*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 171*T1^3 - 213*T1^4 + 171*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      920*T1^3*T2 + 792*T1^4*T2 - 232*T1^5*T2 - 240*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1356*T1^2*T2^2 + 
      1432*T1^3*T2^2 + 527*T1^4*T2^2 - 2672*T1^5*T2^2 + 2935*T1^6*T2^2 - 
      1312*T1^7*T2^2 + 156*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      171*T2^3 - 920*T1*T2^3 + 1432*T1^2*T2^3 + 957*T1^3*T2^3 - 
      6978*T1^4*T2^3 + 9201*T1^5*T2^3 - 4936*T1^6*T2^3 - 1447*T1^7*T2^3 + 
      2811*T1^8*T2^3 - 1340*T1^9*T2^3 + 224*T1^10*T2^3 - 213*T2^4 + 
      792*T1*T2^4 + 527*T1^2*T2^4 - 6978*T1^3*T2^4 + 14831*T1^4*T2^4 - 
      9039*T1^5*T2^4 - 6563*T1^6*T2^4 + 16261*T1^7*T2^4 - 9977*T1^8*T2^4 + 
      1458*T1^9*T2^4 + 1183*T1^10*T2^4 - 568*T1^11*T2^4 + 71*T1^12*T2^4 + 
      171*T2^5 - 232*T1*T2^5 - 2672*T1^2*T2^5 + 9201*T1^3*T2^5 - 
      9039*T1^4*T2^5 - 13655*T1^5*T2^5 + 36998*T1^6*T2^5 - 32710*T1^7*T2^5 + 
      3919*T1^8*T2^5 + 12102*T1^9*T2^5 - 7902*T1^10*T2^5 + 1384*T1^11*T2^5 + 
      344*T1^12*T2^5 - 114*T1^13*T2^5 - 84*T2^6 - 240*T1*T2^6 + 
      2935*T1^2*T2^6 - 4936*T1^3*T2^6 - 6563*T1^4*T2^6 + 36998*T1^5*T2^6 - 
      45300*T1^6*T2^6 + 5504*T1^7*T2^6 + 40828*T1^8*T2^6 - 39722*T1^9*T2^6 + 
      8749*T1^10*T2^6 + 4752*T1^11*T2^6 - 2977*T1^12*T2^6 + 240*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1312*T1^2*T2^7 - 
      1447*T1^3*T2^7 + 16261*T1^4*T2^7 - 32710*T1^5*T2^7 + 5504*T1^6*T2^7 + 
      63911*T1^7*T2^7 - 86941*T1^8*T2^7 + 34639*T1^9*T2^7 + 
      22974*T1^10*T2^7 - 21516*T1^11*T2^7 + 4642*T1^12*T2^7 + 
      1292*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 156*T1^2*T2^8 + 2811*T1^3*T2^8 - 9977*T1^4*T2^8 + 
      3919*T1^5*T2^8 + 40828*T1^6*T2^8 - 86941*T1^7*T2^8 + 40548*T1^8*T2^8 + 
      49113*T1^9*T2^8 - 79718*T1^10*T2^8 + 27421*T1^11*T2^8 + 
      4527*T1^12*T2^8 - 5483*T1^13*T2^8 + 444*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1340*T1^3*T2^9 + 
      1458*T1^4*T2^9 + 12102*T1^5*T2^9 - 39722*T1^6*T2^9 + 34639*T1^7*T2^9 + 
      49113*T1^8*T2^9 - 101739*T1^9*T2^9 + 63774*T1^10*T2^9 + 
      15962*T1^11*T2^9 - 25675*T1^12*T2^9 + 7547*T1^13*T2^9 + 
      1264*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1183*T1^4*T2^10 - 7902*T1^5*T2^10 + 8749*T1^6*T2^10 + 
      22974*T1^7*T2^10 - 79718*T1^8*T2^10 + 63774*T1^9*T2^10 + 
      6410*T1^10*T2^10 - 53746*T1^11*T2^10 + 24061*T1^12*T2^10 + 
      1786*T1^13*T2^10 - 4729*T1^14*T2^10 + 704*T1^15*T2^10 + 
      140*T1^16*T2^10 - 568*T1^4*T2^11 + 1384*T1^5*T2^11 + 4752*T1^6*T2^11 - 
      21516*T1^7*T2^11 + 27421*T1^8*T2^11 + 15962*T1^9*T2^11 - 
      53746*T1^10*T2^11 + 44995*T1^11*T2^11 - 375*T1^12*T2^11 - 
      12351*T1^13*T2^11 + 5440*T1^14*T2^11 + 8*T1^15*T2^11 - 
      285*T1^16*T2^11 + 71*T1^4*T2^12 + 344*T1^5*T2^12 - 2977*T1^6*T2^12 + 
      4642*T1^7*T2^12 + 4527*T1^8*T2^12 - 25675*T1^9*T2^12 + 
      24061*T1^10*T2^12 - 375*T1^11*T2^12 - 20281*T1^12*T2^12 + 
      13078*T1^13*T2^12 - 2321*T1^14*T2^12 - 1016*T1^15*T2^12 + 
      355*T1^16*T2^12 - 114*T1^5*T2^13 + 240*T1^6*T2^13 + 1292*T1^7*T2^13 - 
      5483*T1^8*T2^13 + 7547*T1^9*T2^13 + 1786*T1^10*T2^13 - 
      12351*T1^11*T2^13 + 13078*T1^12*T2^13 - 3629*T1^13*T2^13 - 
      1480*T1^14*T2^13 + 1384*T1^15*T2^13 - 285*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 444*T1^8*T2^14 + 1264*T1^9*T2^14 - 4729*T1^10*T2^14 + 
      5440*T1^11*T2^14 - 2321*T1^12*T2^14 - 1480*T1^13*T2^14 + 
      1956*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 704*T1^10*T2^15 + 8*T1^11*T2^15 - 
      1016*T1^12*T2^15 + 1384*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 285*T1^11*T2^16 + 355*T1^12*T2^16 - 285*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 353] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (-272 + 1288*T1 - 2912*T1^2 + 3720*T1^3 - 2912*T1^4 + 1288*T1^5 - 
     272*T1^6 + 1288*T2 - 5116*T1*T2 + 9136*T1^2*T2 - 7096*T1^3*T2 + 
     352*T1^4*T2 + 4424*T1^5*T2 - 3368*T1^6*T2 + 984*T1^7*T2 - 2912*T2^2 + 
     9136*T1*T2^2 - 10686*T1^2*T2^2 - 2722*T1^3*T2^2 + 16062*T1^4*T2^2 - 
     15106*T1^5*T2^2 + 2730*T1^6*T2^2 + 2600*T1^7*T2^2 - 1536*T1^8*T2^2 + 
     3720*T2^3 - 7096*T1*T2^3 - 2722*T1^2*T2^3 + 28539*T1^3*T2^3 - 
     31637*T1^4*T2^3 + 7509*T1^5*T2^3 + 16825*T1^6*T2^3 - 12311*T1^7*T2^3 + 
     2176*T1^8*T2^3 + 1080*T1^9*T2^3 - 2912*T2^4 + 352*T1*T2^4 + 
     16062*T1^2*T2^4 - 31637*T1^3*T2^4 + 1168*T1^4*T2^4 + 40412*T1^5*T2^4 - 
     47240*T1^6*T2^4 + 12033*T1^7*T2^4 + 5936*T1^8*T2^4 - 4360*T1^9*T2^4 - 
     160*T1^10*T2^4 + 1288*T2^5 + 4424*T1*T2^5 - 15106*T1^2*T2^5 + 
     7509*T1^3*T2^5 + 40412*T1^4*T2^5 - 60702*T1^5*T2^5 + 27846*T1^6*T2^5 + 
     22051*T1^7*T2^5 - 22589*T1^8*T2^5 + 5663*T1^9*T2^5 + 1840*T1^10*T2^5 - 
     232*T1^11*T2^5 - 272*T2^6 - 3368*T1*T2^6 + 2730*T1^2*T2^6 + 
     16825*T1^3*T2^6 - 47240*T1^4*T2^6 + 27846*T1^5*T2^6 + 23832*T1^6*T2^6 - 
     50790*T1^7*T2^6 + 21690*T1^8*T2^6 + 3375*T1^9*T2^6 - 5786*T1^10*T2^6 + 
     584*T1^11*T2^6 + 112*T1^12*T2^6 + 984*T1*T2^7 + 2600*T1^2*T2^7 - 
     12311*T1^3*T2^7 + 12033*T1^4*T2^7 + 22051*T1^5*T2^7 - 50790*T1^6*T2^7 + 
     37758*T1^7*T2^7 + 3690*T1^8*T2^7 - 18065*T1^9*T2^7 + 8458*T1^10*T2^7 + 
     16*T1^11*T2^7 - 536*T1^12*T2^7 - 1536*T1^2*T2^8 + 2176*T1^3*T2^8 + 
     5936*T1^4*T2^8 - 22589*T1^5*T2^8 + 21690*T1^6*T2^8 + 3690*T1^7*T2^8 - 
     26718*T1^8*T2^8 + 21081*T1^9*T2^8 - 4190*T1^10*T2^8 - 2536*T1^11*T2^8 + 
     1216*T1^12*T2^8 + 1080*T1^3*T2^9 - 4360*T1^4*T2^9 + 5663*T1^5*T2^9 + 
     3375*T1^6*T2^9 - 18065*T1^7*T2^9 + 21081*T1^8*T2^9 - 8339*T1^9*T2^9 - 
     3926*T1^10*T2^9 + 4912*T1^11*T2^9 - 1560*T1^12*T2^9 - 160*T1^4*T2^10 + 
     1840*T1^5*T2^10 - 5786*T1^6*T2^10 + 8458*T1^7*T2^10 - 4190*T1^8*T2^10 - 
     3926*T1^9*T2^10 + 7630*T1^10*T2^10 - 4696*T1^11*T2^10 + 
     1216*T1^12*T2^10 - 232*T1^5*T2^11 + 584*T1^6*T2^11 + 16*T1^7*T2^11 - 
     2536*T1^8*T2^11 + 4912*T1^9*T2^11 - 4696*T1^10*T2^11 + 
     2332*T1^11*T2^11 - 536*T1^12*T2^11 + 112*T1^6*T2^12 - 536*T1^7*T2^12 + 
     1216*T1^8*T2^12 - 1560*T1^9*T2^12 + 1216*T1^10*T2^12 - 536*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 354] -> 
  {(5 - 26*T + 60*T^2 - 77*T^3 + 60*T^4 - 26*T^5 + 5*T^6)/T^3, 
   (-520 + 2700*T1 - 6218*T1^2 + 7964*T1^3 - 6218*T1^4 + 2700*T1^5 - 
     520*T1^6 + 2700*T2 - 11986*T1*T2 + 21696*T1^2*T2 - 16902*T1^3*T2 + 
     908*T1^4*T2 + 10516*T1^5*T2 - 7956*T1^6*T2 + 2050*T1^7*T2 - 6218*T2^2 + 
     21696*T1*T2^2 - 22411*T1^2*T2^2 - 15437*T1^3*T2^2 + 50563*T1^4*T2^2 - 
     46037*T1^5*T2^2 + 10589*T1^6*T2^2 + 6096*T1^7*T2^2 - 3218*T1^8*T2^2 + 
     7964*T2^3 - 16902*T1*T2^3 - 15437*T1^2*T2^3 + 87395*T1^3*T2^3 - 
     92579*T1^4*T2^3 + 21811*T1^5*T2^3 + 47945*T1^6*T2^3 - 36377*T1^7*T2^3 + 
     5328*T1^8*T2^3 + 2189*T1^9*T2^3 - 6218*T2^4 + 908*T1*T2^4 + 
     50563*T1^2*T2^4 - 92579*T1^3*T2^4 + 4108*T1^4*T2^4 + 114446*T1^5*T2^4 - 
     134096*T1^6*T2^4 + 35241*T1^7*T2^4 + 18459*T1^8*T2^4 - 10272*T1^9*T2^4 - 
     218*T1^10*T2^4 + 2700*T2^5 + 10516*T1*T2^5 - 46037*T1^2*T2^5 + 
     21811*T1^3*T2^5 + 114446*T1^4*T2^5 - 171740*T1^5*T2^5 + 
     78870*T1^6*T2^5 + 61886*T1^7*T2^5 - 65719*T1^8*T2^5 + 13543*T1^9*T2^5 + 
     4016*T1^10*T2^5 - 550*T1^11*T2^5 - 520*T2^6 - 7956*T1*T2^6 + 
     10589*T1^2*T2^6 + 47945*T1^3*T2^6 - 134096*T1^4*T2^6 + 78870*T1^5*T2^6 + 
     67380*T1^6*T2^6 - 143510*T1^7*T2^6 + 62696*T1^8*T2^6 + 11435*T1^9*T2^6 - 
     14715*T1^10*T2^6 + 1664*T1^11*T2^6 + 230*T1^12*T2^6 + 2050*T1*T2^7 + 
     6096*T1^2*T2^7 - 36377*T1^3*T2^7 + 35241*T1^4*T2^7 + 61886*T1^5*T2^7 - 
     143510*T1^6*T2^7 + 107100*T1^7*T2^7 + 9326*T1^8*T2^7 - 52289*T1^9*T2^7 + 
     23203*T1^10*T2^7 - 404*T1^11*T2^7 - 1200*T1^12*T2^7 - 3218*T1^2*T2^8 + 
     5328*T1^3*T2^8 + 18459*T1^4*T2^8 - 65719*T1^5*T2^8 + 62696*T1^6*T2^8 + 
     9326*T1^7*T2^8 - 75508*T1^8*T2^8 + 62101*T1^9*T2^8 - 13645*T1^10*T2^8 - 
     5852*T1^11*T2^8 + 2782*T1^12*T2^8 + 2189*T1^3*T2^9 - 10272*T1^4*T2^9 + 
     13543*T1^5*T2^9 + 11435*T1^6*T2^9 - 52289*T1^7*T2^9 + 62101*T1^8*T2^9 - 
     28015*T1^9*T2^9 - 7397*T1^10*T2^9 + 11958*T1^11*T2^9 - 3586*T1^12*T2^9 - 
     218*T1^4*T2^10 + 4016*T1^5*T2^10 - 14715*T1^6*T2^10 + 23203*T1^7*T2^10 - 
     13645*T1^8*T2^10 - 7397*T1^9*T2^10 + 18285*T1^10*T2^10 - 
     11584*T1^11*T2^10 + 2782*T1^12*T2^10 - 550*T1^5*T2^11 + 
     1664*T1^6*T2^11 - 404*T1^7*T2^11 - 5852*T1^8*T2^11 + 11958*T1^9*T2^11 - 
     11584*T1^10*T2^11 + 5694*T1^11*T2^11 - 1200*T1^12*T2^11 + 
     230*T1^6*T2^12 - 1200*T1^7*T2^12 + 2782*T1^8*T2^12 - 3586*T1^9*T2^12 + 
     2782*T1^10*T2^12 - 1200*T1^11*T2^12 + 230*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 355] -> 
  {(5 - 16*T + 27*T^2 - 31*T^3 + 27*T^4 - 16*T^5 + 5*T^6)/T^3, 
   -((790 - 2498*T1 + 4182*T1^2 - 4782*T1^3 + 4182*T1^4 - 2498*T1^5 + 
      790*T1^6 - 2498*T2 + 5838*T1*T2 - 6681*T1^2*T2 + 4102*T1^3*T2 - 
      538*T1^4*T2 - 3241*T1^5*T2 + 4158*T1^6*T2 - 2098*T1^7*T2 + 4182*T2^2 - 
      6681*T1*T2^2 + 3973*T1^2*T2^2 + 1291*T1^3*T2^2 - 3813*T1^4*T2^2 + 
      5341*T1^5*T2^2 - 1967*T1^6*T2^2 - 2361*T1^7*T2^2 + 2832*T1^8*T2^2 - 
      4782*T2^3 + 4102*T1*T2^3 + 1291*T1^2*T2^3 - 5027*T1^3*T2^3 + 
      3029*T1^4*T2^3 - 2032*T1^5*T2^3 - 3191*T1^6*T2^3 + 4774*T1^7*T2^3 - 
      1178*T1^8*T2^3 - 2457*T1^9*T2^3 + 4182*T2^4 - 538*T1*T2^4 - 
      3813*T1^2*T2^4 + 3029*T1^3*T2^4 + 1966*T1^4*T2^4 - 1822*T1^5*T2^4 + 
      4966*T1^6*T2^4 - 2055*T1^7*T2^4 - 2521*T1^8*T2^4 + 3142*T1^9*T2^4 + 
      1482*T1^10*T2^4 - 2498*T2^5 - 3241*T1*T2^5 + 5341*T1^2*T2^5 - 
      2032*T1^3*T2^5 - 1822*T1^4*T2^5 - 515*T1^5*T2^5 - 1733*T1^6*T2^5 - 
      1687*T1^7*T2^5 + 2983*T1^8*T2^5 - 410*T1^9*T2^5 - 3161*T1^10*T2^5 - 
      498*T1^11*T2^5 + 790*T2^6 + 4158*T1*T2^6 - 1967*T1^2*T2^6 - 
      3191*T1^3*T2^6 + 4966*T1^4*T2^6 - 1733*T1^5*T2^6 + 3348*T1^6*T2^6 + 
      9*T1^7*T2^6 + 584*T1^8*T2^6 - 2861*T1^9*T2^6 + 3077*T1^10*T2^6 + 
      1438*T1^11*T2^6 + 40*T1^12*T2^6 - 2098*T1*T2^7 - 2361*T1^2*T2^7 + 
      4774*T1^3*T2^7 - 2055*T1^4*T2^7 - 1687*T1^5*T2^7 + 9*T1^6*T2^7 - 
      1209*T1^7*T2^7 - 1552*T1^8*T2^7 + 2960*T1^9*T2^7 - 977*T1^10*T2^7 - 
      2281*T1^11*T2^7 - 98*T1^12*T2^7 + 2832*T1^2*T2^8 - 1178*T1^3*T2^8 - 
      2521*T1^4*T2^8 + 2983*T1^5*T2^8 + 584*T1^6*T2^8 - 1552*T1^7*T2^8 + 
      3584*T1^8*T2^8 - 2101*T1^9*T2^8 - 1229*T1^10*T2^8 + 2502*T1^11*T2^8 + 
      132*T1^12*T2^8 - 2457*T1^3*T2^9 + 3142*T1^4*T2^9 - 410*T1^5*T2^9 - 
      2861*T1^6*T2^9 + 2960*T1^7*T2^9 - 2101*T1^8*T2^9 - 1025*T1^9*T2^9 + 
      3073*T1^10*T2^9 - 2138*T1^11*T2^9 - 132*T1^12*T2^9 + 1482*T1^4*T2^10 - 
      3161*T1^5*T2^10 + 3077*T1^6*T2^10 - 977*T1^7*T2^10 - 1229*T1^8*T2^10 + 
      3073*T1^9*T2^10 - 2863*T1^10*T2^10 + 1159*T1^11*T2^10 + 
      132*T1^12*T2^10 - 498*T1^5*T2^11 + 1438*T1^6*T2^11 - 2281*T1^7*T2^11 + 
      2502*T1^8*T2^11 - 2138*T1^9*T2^11 + 1159*T1^10*T2^11 - 
      242*T1^11*T2^11 - 98*T1^12*T2^11 + 40*T1^6*T2^12 - 98*T1^7*T2^12 + 
      132*T1^8*T2^12 - 132*T1^9*T2^12 + 132*T1^10*T2^12 - 98*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 356] -> {(8 - 25*T + 35*T^2 - 25*T^3 + 8*T^4)/T^2, 
   -((2328 - 7185*T1 + 10032*T1^2 - 7185*T1^3 + 2328*T1^4 - 7185*T2 + 
      16644*T1*T2 - 13828*T1^2*T2 - 1828*T1^3*T2 + 10044*T1^4*T2 - 
      5585*T1^5*T2 + 10032*T2^2 - 13828*T1*T2^2 - 4501*T1^2*T2^2 + 
      26621*T1^3*T2^2 - 19621*T1^4*T2^2 + 172*T1^5*T2^2 + 5552*T1^6*T2^2 - 
      7185*T2^3 - 1828*T1*T2^3 + 26621*T1^2*T2^3 - 31823*T1^3*T2^3 + 
      877*T1^4*T2^3 + 18746*T1^5*T2^3 - 9828*T1^6*T2^3 - 2385*T1^7*T2^3 + 
      2328*T2^4 + 10044*T1*T2^4 - 19621*T1^2*T2^4 + 877*T1^3*T2^4 + 
      30324*T1^4*T2^4 - 26473*T1^5*T2^4 + 2669*T1^6*T2^4 + 6444*T1^7*T2^4 + 
      280*T1^8*T2^4 - 5585*T1*T2^5 + 172*T1^2*T2^5 + 18746*T1^3*T2^5 - 
      26473*T1^4*T2^5 + 6227*T1^5*T2^5 + 10871*T1^6*T2^5 - 7828*T1^7*T2^5 - 
      785*T1^8*T2^5 + 5552*T1^2*T2^6 - 9828*T1^3*T2^6 + 2669*T1^4*T2^6 + 
      10871*T1^5*T2^6 - 12451*T1^6*T2^6 + 4172*T1^7*T2^6 + 1072*T1^8*T2^6 - 
      2385*T1^3*T2^7 + 6444*T1^4*T2^7 - 7828*T1^5*T2^7 + 4172*T1^6*T2^7 - 
      156*T1^7*T2^7 - 785*T1^8*T2^7 + 280*T1^4*T2^8 - 785*T1^5*T2^8 + 
      1072*T1^6*T2^8 - 785*T1^7*T2^8 + 280*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 357] -> 
  {-((3 - 17*T + 40*T^2 - 53*T^3 + 40*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((-84 + 478*T1 - 1126*T1^2 + 1494*T1^3 - 1126*T1^4 + 478*T1^5 - 84*T1^6 + 
      478*T2 - 2397*T1*T2 + 4559*T1^2*T2 - 4136*T1^3*T2 + 607*T1^4*T2 + 
      1652*T1^5*T2 - 1377*T1^6*T2 + 325*T1^7*T2 - 1126*T2^2 + 4559*T1*T2^2 - 
      4944*T1^2*T2^2 - 2534*T1^3*T2^2 + 12448*T1^4*T2^2 - 11174*T1^5*T2^2 + 
      3936*T1^6*T2^2 + 479*T1^7*T2^2 - 406*T1^8*T2^2 + 1494*T2^3 - 
      4136*T1*T2^3 - 2534*T1^2*T2^3 + 18783*T1^3*T2^3 - 26742*T1^4*T2^3 + 
      9309*T1^5*T2^3 + 6735*T1^6*T2^3 - 8014*T1^7*T2^3 + 1933*T1^8*T2^3 + 
      63*T1^9*T2^3 - 1126*T2^4 + 607*T1*T2^4 + 12448*T1^2*T2^4 - 
      26742*T1^3*T2^4 + 16939*T1^4*T2^4 + 19349*T1^5*T2^4 - 30173*T1^6*T2^4 + 
      14492*T1^7*T2^4 + 1014*T1^8*T2^4 - 2147*T1^9*T2^4 + 314*T1^10*T2^4 + 
      478*T2^5 + 1652*T1*T2^5 - 11174*T1^2*T2^5 + 9309*T1^3*T2^5 + 
      19349*T1^4*T2^5 - 51643*T1^5*T2^5 + 34337*T1^6*T2^5 + 2549*T1^7*T2^5 - 
      16376*T1^8*T2^5 + 6946*T1^9*T2^5 - 133*T1^10*T2^5 - 287*T1^11*T2^5 - 
      84*T2^6 - 1377*T1*T2^6 + 3936*T1^2*T2^6 + 6735*T1^3*T2^6 - 
      30173*T1^4*T2^6 + 34337*T1^5*T2^6 + 6012*T1^6*T2^6 - 39009*T1^7*T2^6 + 
      29119*T1^8*T2^6 - 4287*T1^9*T2^6 - 3956*T1^10*T2^6 + 1173*T1^11*T2^6 + 
      78*T1^12*T2^6 + 325*T1*T2^7 + 479*T1^2*T2^7 - 8014*T1^3*T2^7 + 
      14492*T1^4*T2^7 + 2549*T1^5*T2^7 - 39009*T1^6*T2^7 + 46971*T1^7*T2^7 - 
      14251*T1^8*T2^7 - 11193*T1^9*T2^7 + 10106*T1^10*T2^7 - 
      1306*T1^11*T2^7 - 440*T1^12*T2^7 - 406*T1^2*T2^8 + 1933*T1^3*T2^8 + 
      1014*T1^4*T2^8 - 16376*T1^5*T2^8 + 29119*T1^6*T2^8 - 14251*T1^7*T2^8 - 
      17993*T1^8*T2^8 + 24858*T1^9*T2^8 - 10420*T1^10*T2^8 - 821*T1^11*T2^8 + 
      1034*T1^12*T2^8 + 63*T1^3*T2^9 - 2147*T1^4*T2^9 + 6946*T1^5*T2^9 - 
      4287*T1^6*T2^9 - 11193*T1^7*T2^9 + 24858*T1^8*T2^9 - 16335*T1^9*T2^9 + 
      1466*T1^10*T2^9 + 3922*T1^11*T2^9 - 1368*T1^12*T2^9 + 314*T1^4*T2^10 - 
      133*T1^5*T2^10 - 3956*T1^6*T2^10 + 10106*T1^7*T2^10 - 
      10420*T1^8*T2^10 + 1466*T1^9*T2^10 + 4924*T1^10*T2^10 - 
      4213*T1^11*T2^10 + 1034*T1^12*T2^10 - 287*T1^5*T2^11 + 
      1173*T1^6*T2^11 - 1306*T1^7*T2^11 - 821*T1^8*T2^11 + 3922*T1^9*T2^11 - 
      4213*T1^10*T2^11 + 2193*T1^11*T2^11 - 440*T1^12*T2^11 + 78*T1^6*T2^12 - 
      440*T1^7*T2^12 + 1034*T1^8*T2^12 - 1368*T1^9*T2^12 + 1034*T1^10*T2^12 - 
      440*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 358] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4), 
   -((-5 + 40*T1 - 140*T1^2 + 280*T1^3 - 345*T1^4 + 280*T1^5 - 140*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 864*T1^2*T2 - 1344*T1^3*T2 + 
      968*T1^4*T2 - 32*T1^5*T2 - 672*T1^6*T2 + 576*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 140*T2^2 + 864*T1*T2^2 - 1960*T1^2*T2^2 + 1368*T1^3*T2^2 + 
      2264*T1^4*T2^2 - 5046*T1^5*T2^2 + 4560*T1^6*T2^2 - 1320*T1^7*T2^2 - 
      448*T1^8*T2^2 + 416*T1^9*T2^2 - 84*T1^10*T2^2 + 280*T2^3 - 
      1344*T1*T2^3 + 1368*T1^2*T2^3 + 4026*T1^3*T2^3 - 12727*T1^4*T2^3 + 
      11567*T1^5*T2^3 - 2321*T1^6*T2^3 - 6847*T1^7*T2^3 + 5538*T1^8*T2^3 - 
      1320*T1^9*T2^3 - 224*T1^10*T2^3 + 112*T1^11*T2^3 - 345*T2^4 + 
      968*T1*T2^4 + 2264*T1^2*T2^4 - 12727*T1^3*T2^4 + 17699*T1^4*T2^4 + 
      2224*T1^5*T2^4 - 22579*T1^6*T2^4 + 25712*T1^7*T2^4 - 6541*T1^8*T2^4 - 
      3991*T1^9*T2^4 + 2824*T1^10*T2^4 - 344*T1^11*T2^4 - 69*T1^12*T2^4 + 
      280*T2^5 - 32*T1*T2^5 - 5046*T1^2*T2^5 + 11567*T1^3*T2^5 + 
      2224*T1^4*T2^5 - 41668*T1^5*T2^5 + 48131*T1^6*T2^5 - 18845*T1^7*T2^5 - 
      21508*T1^8*T2^5 + 20848*T1^9*T2^5 - 5009*T1^10*T2^5 - 1206*T1^11*T2^5 + 
      552*T1^12*T2^5 - 140*T2^6 - 672*T1*T2^6 + 4560*T1^2*T2^6 - 
      2321*T1^3*T2^6 - 22579*T1^4*T2^6 + 48131*T1^5*T2^6 - 9318*T1^6*T2^6 - 
      46208*T1^7*T2^6 + 67626*T1^8*T2^6 - 24893*T1^9*T2^6 - 7011*T1^10*T2^6 + 
      7535*T1^11*T2^6 - 1208*T1^12*T2^6 - 224*T1^13*T2^6 + 28*T1^14*T2^6 + 
      40*T2^7 + 576*T1*T2^7 - 1320*T1^2*T2^7 - 6847*T1^3*T2^7 + 
      25712*T1^4*T2^7 - 18845*T1^5*T2^7 - 46208*T1^6*T2^7 + 79834*T1^7*T2^7 - 
      47846*T1^8*T2^7 - 21568*T1^9*T2^7 + 36035*T1^10*T2^7 - 
      12368*T1^11*T2^7 - 1303*T1^12*T2^7 + 1368*T1^13*T2^7 - 96*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 448*T1^2*T2^8 + 5538*T1^3*T2^8 - 
      6541*T1^4*T2^8 - 21508*T1^5*T2^8 + 67626*T1^6*T2^8 - 47846*T1^7*T2^8 - 
      21696*T1^8*T2^8 + 69082*T1^9*T2^8 - 41462*T1^10*T2^8 - 
      1732*T1^11*T2^8 + 10139*T1^12*T2^8 - 2974*T1^13*T2^8 - 160*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 416*T1^2*T2^9 - 
      1320*T1^3*T2^9 - 3991*T1^4*T2^9 + 20848*T1^5*T2^9 - 24893*T1^6*T2^9 - 
      21568*T1^7*T2^9 + 69082*T1^8*T2^9 - 58598*T1^9*T2^9 + 3072*T1^10*T2^9 + 
      29987*T1^11*T2^9 - 17232*T1^12*T2^9 + 1553*T1^13*T2^9 + 
      1368*T1^14*T2^9 - 256*T1^15*T2^9 - 24*T1^16*T2^9 - 84*T1^2*T2^10 - 
      224*T1^3*T2^10 + 2824*T1^4*T2^10 - 5009*T1^5*T2^10 - 7011*T1^6*T2^10 + 
      36035*T1^7*T2^10 - 41462*T1^8*T2^10 + 3072*T1^9*T2^10 + 
      35482*T1^10*T2^10 - 36989*T1^11*T2^10 + 8557*T1^12*T2^10 + 
      4847*T1^13*T2^10 - 2944*T1^14*T2^10 + 224*T1^15*T2^10 + 
      84*T1^16*T2^10 + 112*T1^3*T2^11 - 344*T1^4*T2^11 - 1206*T1^5*T2^11 + 
      7535*T1^6*T2^11 - 12368*T1^7*T2^11 - 1732*T1^8*T2^11 + 
      29987*T1^9*T2^11 - 36989*T1^10*T2^11 + 18428*T1^11*T2^11 + 
      6256*T1^12*T2^11 - 9041*T1^13*T2^11 + 2634*T1^14*T2^11 + 
      240*T1^15*T2^11 - 168*T1^16*T2^11 - 69*T1^4*T2^12 + 552*T1^5*T2^12 - 
      1208*T1^6*T2^12 - 1303*T1^7*T2^12 + 10139*T1^8*T2^12 - 
      17232*T1^9*T2^12 + 8557*T1^10*T2^12 + 6256*T1^11*T2^12 - 
      14101*T1^12*T2^12 + 7433*T1^13*T2^12 - 648*T1^14*T2^12 - 
      760*T1^15*T2^12 + 207*T1^16*T2^12 - 224*T1^6*T2^13 + 1368*T1^7*T2^13 - 
      2974*T1^8*T2^13 + 1553*T1^9*T2^13 + 4847*T1^10*T2^13 - 
      9041*T1^11*T2^13 + 7433*T1^12*T2^13 - 1462*T1^13*T2^13 - 
      1320*T1^14*T2^13 + 896*T1^15*T2^13 - 168*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 160*T1^8*T2^14 + 1368*T1^9*T2^14 - 2944*T1^10*T2^14 + 
      2634*T1^11*T2^14 - 648*T1^12*T2^14 - 1320*T1^13*T2^14 + 
      1352*T1^14*T2^14 - 544*T1^15*T2^14 + 84*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 256*T1^9*T2^15 + 224*T1^10*T2^15 + 240*T1^11*T2^15 - 
      760*T1^12*T2^15 + 896*T1^13*T2^15 - 544*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 84*T1^10*T2^16 - 
      168*T1^11*T2^16 + 207*T1^12*T2^16 - 168*T1^13*T2^16 + 84*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 359] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4, 
   (-4 + 36*T1 - 132*T1^2 + 268*T1^3 - 340*T1^4 + 268*T1^5 - 132*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 945*T1^2*T2 - 1521*T1^3*T2 + 
     1251*T1^4*T2 - 117*T1^5*T2 - 621*T1^6*T2 + 567*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 132*T2^2 + 945*T1*T2^2 - 2232*T1^2*T2^2 + 1402*T1^3*T2^2 + 
     2922*T1^4*T2^2 - 7440*T1^5*T2^2 + 6354*T1^6*T2^2 - 2426*T1^7*T2^2 - 
     120*T1^8*T2^2 + 351*T1^9*T2^2 - 66*T1^10*T2^2 + 268*T2^3 - 
     1521*T1*T2^3 + 1402*T1^2*T2^3 + 6248*T1^3*T2^3 - 18043*T1^4*T2^3 + 
     20259*T1^5*T2^3 - 4785*T1^6*T2^3 - 7237*T1^7*T2^3 + 7442*T1^8*T2^3 - 
     2261*T1^9*T2^3 - 9*T1^10*T2^3 + 67*T1^11*T2^3 - 340*T2^4 + 
     1251*T1*T2^4 + 2922*T1^2*T2^4 - 18043*T1^3*T2^4 + 25840*T1^4*T2^4 - 
     4559*T1^5*T2^4 - 35386*T1^6*T2^4 + 38433*T1^7*T2^4 - 15548*T1^8*T2^4 - 
     2231*T1^9*T2^4 + 3288*T1^10*T2^4 - 603*T1^11*T2^4 + 268*T2^5 - 
     117*T1*T2^5 - 7440*T1^2*T2^5 + 20259*T1^3*T2^5 - 4559*T1^4*T2^5 - 
     47061*T1^5*T2^5 + 83870*T1^6*T2^5 - 36772*T1^7*T2^5 - 18911*T1^8*T2^5 + 
     30164*T1^9*T2^5 - 10921*T1^10*T2^5 - 51*T1^11*T2^5 + 603*T1^12*T2^5 - 
     67*T1^13*T2^5 - 132*T2^6 - 621*T1*T2^6 + 6354*T1^2*T2^6 - 
     4785*T1^3*T2^6 - 35386*T1^4*T2^6 + 83870*T1^5*T2^6 - 64069*T1^6*T2^6 - 
     46097*T1^7*T2^6 + 94091*T1^8*T2^6 - 52168*T1^9*T2^6 - 640*T1^10*T2^6 + 
     11055*T1^11*T2^6 - 3210*T1^12*T2^6 + 9*T1^13*T2^6 + 66*T1^14*T2^6 + 
     36*T2^7 + 567*T1*T2^7 - 2426*T1^2*T2^7 - 7237*T1^3*T2^7 + 
     38433*T1^4*T2^7 - 36772*T1^5*T2^7 - 46097*T1^6*T2^7 + 149954*T1^7*T2^7 - 
     114126*T1^8*T2^7 - 1198*T1^9*T2^7 + 53078*T1^10*T2^7 - 
     29366*T1^11*T2^7 + 1981*T1^12*T2^7 + 2227*T1^13*T2^7 - 351*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 120*T1^2*T2^8 + 7442*T1^3*T2^8 - 
     15548*T1^4*T2^8 - 18911*T1^5*T2^8 + 94091*T1^6*T2^8 - 114126*T1^7*T2^8 - 
     1572*T1^8*T2^8 + 115562*T1^9*T2^8 - 93027*T1^10*T2^8 + 
     17307*T1^11*T2^8 + 15516*T1^12*T2^8 - 7282*T1^13*T2^8 + 126*T1^14*T2^8 + 
     207*T1^15*T2^8 + 4*T1^16*T2^8 + 27*T1*T2^9 + 351*T1^2*T2^9 - 
     2261*T1^3*T2^9 - 2231*T1^4*T2^9 + 30164*T1^5*T2^9 - 52168*T1^6*T2^9 - 
     1198*T1^7*T2^9 + 115562*T1^8*T2^9 - 148518*T1^9*T2^9 + 
     43701*T1^10*T2^9 + 37682*T1^11*T2^9 - 37635*T1^12*T2^9 + 
     6987*T1^13*T2^9 + 2392*T1^14*T2^9 - 567*T1^15*T2^9 - 36*T1^16*T2^9 - 
     66*T1^2*T2^10 - 9*T1^3*T2^10 + 3288*T1^4*T2^10 - 10921*T1^5*T2^10 - 
     640*T1^6*T2^10 + 53078*T1^7*T2^10 - 93027*T1^8*T2^10 + 
     43701*T1^9*T2^10 + 65133*T1^10*T2^10 - 82960*T1^11*T2^10 + 
     34106*T1^12*T2^10 + 4919*T1^13*T2^10 - 6276*T1^14*T2^10 + 
     621*T1^15*T2^10 + 132*T1^16*T2^10 + 67*T1^3*T2^11 - 603*T1^4*T2^11 - 
     51*T1^5*T2^11 + 11055*T1^6*T2^11 - 29366*T1^7*T2^11 + 17307*T1^8*T2^11 + 
     37682*T1^9*T2^11 - 82960*T1^10*T2^11 + 45457*T1^11*T2^11 + 
     5357*T1^12*T2^11 - 20125*T1^13*T2^11 + 7338*T1^14*T2^11 + 
     117*T1^15*T2^11 - 268*T1^16*T2^11 + 603*T1^5*T2^12 - 3210*T1^6*T2^12 + 
     1981*T1^7*T2^12 + 15516*T1^8*T2^12 - 37635*T1^9*T2^12 + 
     34106*T1^10*T2^12 + 5357*T1^11*T2^12 - 25872*T1^12*T2^12 + 
     17793*T1^13*T2^12 - 2844*T1^14*T2^12 - 1251*T1^15*T2^12 + 
     340*T1^16*T2^12 - 67*T1^5*T2^13 + 9*T1^6*T2^13 + 2227*T1^7*T2^13 - 
     7282*T1^8*T2^13 + 6987*T1^9*T2^13 + 4919*T1^10*T2^13 - 
     20125*T1^11*T2^13 + 17793*T1^12*T2^13 - 6088*T1^13*T2^13 - 
     1436*T1^14*T2^13 + 1521*T1^15*T2^13 - 268*T1^16*T2^13 + 66*T1^6*T2^14 - 
     351*T1^7*T2^14 + 126*T1^8*T2^14 + 2392*T1^9*T2^14 - 6276*T1^10*T2^14 + 
     7338*T1^11*T2^14 - 2844*T1^12*T2^14 - 1436*T1^13*T2^14 + 
     2238*T1^14*T2^14 - 945*T1^15*T2^14 + 132*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 567*T1^9*T2^15 + 621*T1^10*T2^15 + 117*T1^11*T2^15 - 
     1251*T1^12*T2^15 + 1521*T1^13*T2^15 - 945*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     132*T1^10*T2^16 - 268*T1^11*T2^16 + 340*T1^12*T2^16 - 268*T1^13*T2^16 + 
     132*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 360] -> 
  {-(((1 - 3*T + T^2)*(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4))/T^3), 
   -((-84 + 562*T1 - 1490*T1^2 + 2054*T1^3 - 1490*T1^4 + 562*T1^5 - 84*T1^6 + 
      562*T2 - 3382*T1*T2 + 7421*T1^2*T2 - 6961*T1^3*T2 + 599*T1^4*T2 + 
      3041*T1^5*T2 - 2002*T1^6*T2 + 382*T1^7*T2 - 1490*T2^2 + 7421*T1*T2^2 - 
      9797*T1^2*T2^2 - 5625*T1^3*T2^2 + 27025*T1^4*T2^2 - 22479*T1^5*T2^2 + 
      6103*T1^6*T2^2 + 1061*T1^7*T2^2 - 536*T1^8*T2^2 + 2054*T2^3 - 
      6961*T1*T2^3 - 5625*T1^2*T2^3 + 46803*T1^3*T2^3 - 66499*T1^4*T2^3 + 
      19100*T1^5*T2^3 + 19355*T1^6*T2^3 - 16066*T1^7*T2^3 + 2999*T1^8*T2^3 + 
      83*T1^9*T2^3 - 1490*T2^4 + 599*T1*T2^4 + 27025*T1^2*T2^4 - 
      66499*T1^3*T2^4 + 35734*T1^4*T2^4 + 67706*T1^5*T2^4 - 87226*T1^6*T2^4 + 
      33073*T1^7*T2^4 + 2333*T1^8*T2^4 - 3361*T1^9*T2^4 + 418*T1^10*T2^4 + 
      562*T2^5 + 3041*T1*T2^5 - 22479*T1^2*T2^5 + 19100*T1^3*T2^5 + 
      67706*T1^4*T2^5 - 162143*T1^5*T2^5 + 100111*T1^6*T2^5 + 
      11049*T1^7*T2^5 - 38553*T1^8*T2^5 + 13614*T1^9*T2^5 - 499*T1^10*T2^5 - 
      338*T1^11*T2^5 - 84*T2^6 - 2002*T1*T2^6 + 6103*T1^2*T2^6 + 
      19355*T1^3*T2^6 - 87226*T1^4*T2^6 + 100111*T1^5*T2^6 + 
      23832*T1^6*T2^6 - 118723*T1^7*T2^6 + 79736*T1^8*T2^6 - 
      12147*T1^9*T2^6 - 6181*T1^10*T2^6 + 1718*T1^11*T2^6 + 78*T1^12*T2^6 + 
      382*T1*T2^7 + 1061*T1^2*T2^7 - 16066*T1^3*T2^7 + 33073*T1^4*T2^7 + 
      11049*T1^5*T2^7 - 118723*T1^6*T2^7 + 143531*T1^7*T2^7 - 
      45608*T1^8*T2^7 - 24580*T1^9*T2^7 + 20027*T1^10*T2^7 - 
      2479*T1^11*T2^7 - 518*T1^12*T2^7 - 536*T1^2*T2^8 + 2999*T1^3*T2^8 + 
      2333*T1^4*T2^8 - 38553*T1^5*T2^8 + 79736*T1^6*T2^8 - 45608*T1^7*T2^8 - 
      43224*T1^8*T2^8 + 61019*T1^9*T2^8 - 22359*T1^10*T2^8 - 961*T1^11*T2^8 + 
      1372*T1^12*T2^8 + 83*T1^3*T2^9 - 3361*T1^4*T2^9 + 13614*T1^5*T2^9 - 
      12147*T1^6*T2^9 - 24580*T1^7*T2^9 + 61019*T1^8*T2^9 - 39595*T1^9*T2^9 + 
      3173*T1^10*T2^9 + 6599*T1^11*T2^9 - 1888*T1^12*T2^9 + 418*T1^4*T2^10 - 
      499*T1^5*T2^10 - 6181*T1^6*T2^10 + 20027*T1^7*T2^10 - 
      22359*T1^8*T2^10 + 3173*T1^9*T2^10 + 9719*T1^10*T2^10 - 
      6859*T1^11*T2^10 + 1372*T1^12*T2^10 - 338*T1^5*T2^11 + 
      1718*T1^6*T2^11 - 2479*T1^7*T2^11 - 961*T1^8*T2^11 + 6599*T1^9*T2^11 - 
      6859*T1^10*T2^11 + 3098*T1^11*T2^11 - 518*T1^12*T2^11 + 78*T1^6*T2^12 - 
      518*T1^7*T2^12 + 1372*T1^8*T2^12 - 1888*T1^9*T2^12 + 1372*T1^10*T2^12 - 
      518*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 361] -> 
  {(1 - 9*T + 34*T^2 - 73*T^3 + 95*T^4 - 73*T^5 + 34*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 136*T1^2 + 292*T1^3 - 380*T1^4 + 292*T1^5 - 136*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 981*T1^2*T2 - 1710*T1^3*T2 + 
     1449*T1^4*T2 - 63*T1^5*T2 - 747*T1^6*T2 + 594*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 136*T2^2 + 981*T1*T2^2 - 2507*T1^2*T2^2 + 2289*T1^3*T2^2 + 
     2482*T1^4*T2^2 - 8161*T1^5*T2^2 + 6630*T1^6*T2^2 - 2063*T1^7*T2^2 - 
     263*T1^8*T2^2 + 369*T1^9*T2^2 - 68*T1^10*T2^2 + 292*T2^3 - 
     1710*T1*T2^3 + 2289*T1^2*T2^3 + 4413*T1^3*T2^3 - 19056*T1^4*T2^3 + 
     23672*T1^5*T2^3 - 4303*T1^6*T2^3 - 9090*T1^7*T2^3 + 7461*T1^8*T2^3 - 
     2097*T1^9*T2^3 - 45*T1^10*T2^3 + 73*T1^11*T2^3 - 380*T2^4 + 
     1449*T1*T2^4 + 2482*T1^2*T2^4 - 19056*T1^3*T2^4 + 35083*T1^4*T2^4 - 
     13087*T1^5*T2^4 - 40787*T1^6*T2^4 + 42747*T1^7*T2^4 - 13293*T1^8*T2^4 - 
     3434*T1^9*T2^4 + 3576*T1^10*T2^4 - 657*T1^11*T2^4 + 292*T2^5 - 
     63*T1*T2^5 - 8161*T1^2*T2^5 + 23672*T1^3*T2^5 - 13087*T1^4*T2^5 - 
     56112*T1^5*T2^5 + 114237*T1^6*T2^5 - 43979*T1^7*T2^5 - 30288*T1^8*T2^5 + 
     35322*T1^9*T2^5 - 12073*T1^10*T2^5 + 32*T1^11*T2^5 + 657*T1^12*T2^5 - 
     73*T1^13*T2^5 - 136*T2^6 - 747*T1*T2^6 + 6630*T1^2*T2^6 - 
     4303*T1^3*T2^6 - 40787*T1^4*T2^6 + 114237*T1^5*T2^6 - 90120*T1^6*T2^6 - 
     82128*T1^7*T2^6 + 142480*T1^8*T2^6 - 67063*T1^9*T2^6 - 71*T1^10*T2^6 + 
     12017*T1^11*T2^6 - 3626*T1^12*T2^6 + 45*T1^13*T2^6 + 68*T1^14*T2^6 + 
     36*T2^7 + 594*T1*T2^7 - 2063*T1^2*T2^7 - 9090*T1^3*T2^7 + 
     42747*T1^4*T2^7 - 43979*T1^5*T2^7 - 82128*T1^6*T2^7 + 251516*T1^7*T2^7 - 
     182002*T1^8*T2^7 - 3389*T1^9*T2^7 + 68069*T1^10*T2^7 - 
     35362*T1^11*T2^7 + 3568*T1^12*T2^7 + 2119*T1^13*T2^7 - 369*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 263*T1^2*T2^8 + 7461*T1^3*T2^8 - 
     13293*T1^4*T2^8 - 30288*T1^5*T2^8 + 142480*T1^6*T2^8 - 
     182002*T1^7*T2^8 - 8100*T1^8*T2^8 + 188166*T1^9*T2^8 - 
     140182*T1^10*T2^8 + 29460*T1^11*T2^8 + 13283*T1^12*T2^8 - 
     7557*T1^13*T2^8 + 259*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 369*T1^2*T2^9 - 2097*T1^3*T2^9 - 3434*T1^4*T2^9 + 
     35322*T1^5*T2^9 - 67063*T1^6*T2^9 - 3389*T1^7*T2^9 + 188166*T1^8*T2^9 - 
     245352*T1^9*T2^9 + 75350*T1^10*T2^9 + 44985*T1^11*T2^9 - 
     42787*T1^12*T2^9 + 9224*T1^13*T2^9 + 2085*T1^14*T2^9 - 594*T1^15*T2^9 - 
     36*T1^16*T2^9 - 68*T1^2*T2^10 - 45*T1^3*T2^10 + 3576*T1^4*T2^10 - 
     12073*T1^5*T2^10 - 71*T1^6*T2^10 + 68069*T1^7*T2^10 - 
     140182*T1^8*T2^10 + 75350*T1^9*T2^10 + 92418*T1^10*T2^10 - 
     113231*T1^11*T2^10 + 40645*T1^12*T2^10 + 4247*T1^13*T2^10 - 
     6680*T1^14*T2^10 + 747*T1^15*T2^10 + 136*T1^16*T2^10 + 73*T1^3*T2^11 - 
     657*T1^4*T2^11 + 32*T1^5*T2^11 + 12017*T1^6*T2^11 - 35362*T1^7*T2^11 + 
     29460*T1^8*T2^11 + 44985*T1^9*T2^11 - 113231*T1^10*T2^11 + 
     55284*T1^11*T2^11 + 13047*T1^12*T2^11 - 23728*T1^13*T2^11 + 
     8225*T1^14*T2^11 + 63*T1^15*T2^11 - 292*T1^16*T2^11 + 657*T1^5*T2^12 - 
     3626*T1^6*T2^12 + 3568*T1^7*T2^12 + 13283*T1^8*T2^12 - 
     42787*T1^9*T2^12 + 40645*T1^10*T2^12 + 13047*T1^11*T2^12 - 
     35093*T1^12*T2^12 + 19190*T1^13*T2^12 - 2532*T1^14*T2^12 - 
     1449*T1^15*T2^12 + 380*T1^16*T2^12 - 73*T1^5*T2^13 + 45*T1^6*T2^13 + 
     2119*T1^7*T2^13 - 7557*T1^8*T2^13 + 9224*T1^9*T2^13 + 4247*T1^10*T2^13 - 
     23728*T1^11*T2^13 + 19190*T1^12*T2^13 - 4509*T1^13*T2^13 - 
     2267*T1^14*T2^13 + 1710*T1^15*T2^13 - 292*T1^16*T2^13 + 68*T1^6*T2^14 - 
     369*T1^7*T2^14 + 259*T1^8*T2^14 + 2085*T1^9*T2^14 - 6680*T1^10*T2^14 + 
     8225*T1^11*T2^14 - 2532*T1^12*T2^14 - 2267*T1^13*T2^14 + 
     2503*T1^14*T2^14 - 981*T1^15*T2^14 + 136*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 594*T1^9*T2^15 + 747*T1^10*T2^15 + 63*T1^11*T2^15 - 
     1449*T1^12*T2^15 + 1710*T1^13*T2^15 - 981*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     136*T1^10*T2^16 - 292*T1^11*T2^16 + 380*T1^12*T2^16 - 292*T1^13*T2^16 + 
     136*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 362] -> 
  {(1 - 9*T + 31*T^2 - 56*T^3 + 67*T^4 - 56*T^5 + 31*T^6 - 9*T^7 + T^8)/T^4, 
   (-2 + 18*T1 - 62*T1^2 + 112*T1^3 - 134*T1^4 + 112*T1^5 - 62*T1^6 + 
     18*T1^7 - 2*T1^8 + 18*T2 - 153*T1*T2 + 477*T1^2*T2 - 729*T1^3*T2 + 
     702*T1^4*T2 - 405*T1^5*T2 + 54*T1^6*T2 + 117*T1^7*T2 - 63*T1^8*T2 + 
     9*T1^9*T2 - 62*T2^2 + 477*T1*T2^2 - 1186*T1^2*T2^2 + 920*T1^3*T2^2 + 
     459*T1^4*T2^2 - 2046*T1^5*T2^2 + 2691*T1^6*T2^2 - 1994*T1^7*T2^2 + 
     674*T1^8*T2^2 - 81*T1^9*T2^2 + 112*T2^3 - 729*T1*T2^3 + 920*T1^2*T2^3 + 
     2517*T1^3*T2^3 - 7807*T1^4*T2^3 + 10756*T1^5*T2^3 - 8945*T1^6*T2^3 + 
     3698*T1^7*T2^3 + 933*T1^8*T2^3 - 1498*T1^9*T2^3 + 504*T1^10*T2^3 - 
     56*T1^11*T2^3 - 134*T2^4 + 702*T1*T2^4 + 459*T1^2*T2^4 - 
     7807*T1^3*T2^4 + 14332*T1^4*T2^4 - 10991*T1^5*T2^4 - 876*T1^6*T2^4 + 
     12701*T1^7*T2^4 - 15356*T1^8*T2^4 + 7425*T1^9*T2^4 - 305*T1^10*T2^4 - 
     702*T1^11*T2^4 + 134*T1^12*T2^4 + 112*T2^5 - 405*T1*T2^5 - 
     2046*T1^2*T2^5 + 10756*T1^3*T2^5 - 10991*T1^4*T2^5 - 8539*T1^5*T2^5 + 
     30468*T1^6*T2^5 - 36877*T1^7*T2^5 + 20969*T1^8*T2^5 + 3922*T1^9*T2^5 - 
     12283*T1^10*T2^5 + 3819*T1^11*T2^5 + 306*T1^12*T2^5 - 168*T1^13*T2^5 - 
     62*T2^6 + 54*T1*T2^6 + 2691*T1^2*T2^6 - 8945*T1^3*T2^6 - 876*T1^4*T2^6 + 
     30468*T1^5*T2^6 - 38018*T1^6*T2^6 + 15514*T1^7*T2^6 + 22354*T1^8*T2^6 - 
     42130*T1^9*T2^6 + 23310*T1^10*T2^6 + 5749*T1^11*T2^6 - 5533*T1^12*T2^6 + 
     396*T1^13*T2^6 + 124*T1^14*T2^6 + 18*T2^7 + 117*T1*T2^7 - 
     1994*T1^2*T2^7 + 3698*T1^3*T2^7 + 12701*T1^4*T2^7 - 36877*T1^5*T2^7 + 
     15514*T1^6*T2^7 + 21114*T1^7*T2^7 - 42456*T1^8*T2^7 + 23692*T1^9*T2^7 + 
     19962*T1^10*T2^7 - 37328*T1^11*T2^7 + 7101*T1^12*T2^7 + 
     3400*T1^13*T2^7 - 711*T1^14*T2^7 - 45*T1^15*T2^7 - 2*T2^8 - 63*T1*T2^8 + 
     674*T1^2*T2^8 + 933*T1^3*T2^8 - 15356*T1^4*T2^8 + 20969*T1^5*T2^8 + 
     22354*T1^6*T2^8 - 42456*T1^7*T2^8 + 26412*T1^8*T2^8 + 17176*T1^9*T2^8 - 
     45694*T1^10*T2^8 + 25979*T1^11*T2^8 + 20680*T1^12*T2^8 - 
     12773*T1^13*T2^8 + 392*T1^14*T2^8 + 351*T1^15*T2^8 + 6*T1^16*T2^8 + 
     9*T1*T2^9 - 81*T1^2*T2^9 - 1498*T1^3*T2^9 + 7425*T1^4*T2^9 + 
     3922*T1^5*T2^9 - 42130*T1^6*T2^9 + 23692*T1^7*T2^9 + 17176*T1^8*T2^9 - 
     46394*T1^9*T2^9 + 31870*T1^10*T2^9 + 14709*T1^11*T2^9 - 
     46107*T1^12*T2^9 + 10828*T1^13*T2^9 + 3896*T1^14*T2^9 - 909*T1^15*T2^9 - 
     54*T1^16*T2^9 + 504*T1^3*T2^10 - 305*T1^4*T2^10 - 12283*T1^5*T2^10 + 
     23310*T1^6*T2^10 + 19962*T1^7*T2^10 - 45694*T1^8*T2^10 + 
     31870*T1^9*T2^10 + 14678*T1^10*T2^10 - 52636*T1^11*T2^10 + 
     47496*T1^12*T2^10 + 2411*T1^13*T2^10 - 8529*T1^14*T2^10 + 
     846*T1^15*T2^10 + 186*T1^16*T2^10 - 56*T1^3*T2^11 - 702*T1^4*T2^11 + 
     3819*T1^5*T2^11 + 5749*T1^6*T2^11 - 37328*T1^7*T2^11 + 
     25979*T1^8*T2^11 + 14709*T1^9*T2^11 - 52636*T1^10*T2^11 + 
     55487*T1^11*T2^11 - 22415*T1^12*T2^11 - 17290*T1^13*T2^11 + 
     9684*T1^14*T2^11 + 9*T1^15*T2^11 - 336*T1^16*T2^11 + 134*T1^4*T2^12 + 
     306*T1^5*T2^12 - 5533*T1^6*T2^12 + 7101*T1^7*T2^12 + 20680*T1^8*T2^12 - 
     46107*T1^9*T2^12 + 47496*T1^10*T2^12 - 22415*T1^11*T2^12 - 
     9008*T1^12*T2^12 + 22333*T1^13*T2^12 - 6297*T1^14*T2^12 - 
     1098*T1^15*T2^12 + 402*T1^16*T2^12 - 168*T1^5*T2^13 + 396*T1^6*T2^13 + 
     3400*T1^7*T2^13 - 12773*T1^8*T2^13 + 10828*T1^9*T2^13 + 
     2411*T1^10*T2^13 - 17290*T1^11*T2^13 + 22333*T1^12*T2^13 - 
     14357*T1^13*T2^13 + 982*T1^14*T2^13 + 1629*T1^15*T2^13 - 
     336*T1^16*T2^13 + 124*T1^6*T2^14 - 711*T1^7*T2^14 + 392*T1^8*T2^14 + 
     3896*T1^9*T2^14 - 8529*T1^10*T2^14 + 9684*T1^11*T2^14 - 
     6297*T1^12*T2^14 + 982*T1^13*T2^14 + 2252*T1^14*T2^14 - 
     1269*T1^15*T2^14 + 186*T1^16*T2^14 - 45*T1^7*T2^15 + 351*T1^8*T2^15 - 
     909*T1^9*T2^15 + 846*T1^10*T2^15 + 9*T1^11*T2^15 - 1098*T1^12*T2^15 + 
     1629*T1^13*T2^15 - 1269*T1^14*T2^15 + 441*T1^15*T2^15 - 54*T1^16*T2^15 + 
     6*T1^8*T2^16 - 54*T1^9*T2^16 + 186*T1^10*T2^16 - 336*T1^11*T2^16 + 
     402*T1^12*T2^16 - 336*T1^13*T2^16 + 186*T1^14*T2^16 - 54*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 363] -> 
  {(1 - 8*T + 27*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 54*T1^2 + 98*T1^3 - 118*T1^4 + 98*T1^5 - 54*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 368*T1^2*T2 - 568*T1^3*T2 + 552*T1^4*T2 - 
     312*T1^5*T2 + 40*T1^6*T2 + 88*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     54*T2^2 + 368*T1*T2^2 - 947*T1^2*T2^2 + 921*T1^3*T2^2 - 62*T1^4*T2^2 - 
     1113*T1^5*T2^2 + 1666*T1^6*T2^2 - 1293*T1^7*T2^2 + 457*T1^8*T2^2 - 
     64*T1^9*T2^2 + 98*T2^3 - 568*T1*T2^3 + 921*T1^2*T2^3 + 995*T1^3*T2^3 - 
     4392*T1^4*T2^3 + 6607*T1^5*T2^3 - 5549*T1^6*T2^3 + 2175*T1^7*T2^3 + 
     785*T1^8*T2^3 - 1104*T1^9*T2^3 + 392*T1^10*T2^3 - 49*T1^11*T2^3 - 
     118*T2^4 + 552*T1*T2^4 - 62*T1^2*T2^4 - 4392*T1^3*T2^4 + 
     8912*T1^4*T2^4 - 7397*T1^5*T2^4 - 282*T1^6*T2^4 + 8015*T1^7*T2^4 - 
     9544*T1^8*T2^4 + 4428*T1^9*T2^4 + 38*T1^10*T2^4 - 552*T1^11*T2^4 + 
     118*T1^12*T2^4 + 98*T2^5 - 312*T1*T2^5 - 1113*T1^2*T2^5 + 
     6607*T1^3*T2^5 - 7397*T1^4*T2^5 - 4714*T1^5*T2^5 + 19659*T1^6*T2^5 - 
     24184*T1^7*T2^5 + 13212*T1^8*T2^5 + 2643*T1^9*T2^5 - 7713*T1^10*T2^5 + 
     2277*T1^11*T2^5 + 232*T1^12*T2^5 - 147*T1^13*T2^5 - 54*T2^6 + 
     40*T1*T2^6 + 1666*T1^2*T2^6 - 5549*T1^3*T2^6 - 282*T1^4*T2^6 + 
     19659*T1^5*T2^6 - 25883*T1^6*T2^6 + 10783*T1^7*T2^6 + 15993*T1^8*T2^6 - 
     27961*T1^9*T2^6 + 15280*T1^10*T2^6 + 3361*T1^11*T2^6 - 3318*T1^12*T2^6 + 
     312*T1^13*T2^6 + 108*T1^14*T2^6 + 16*T2^7 + 88*T1*T2^7 - 
     1293*T1^2*T2^7 + 2175*T1^3*T2^7 + 8015*T1^4*T2^7 - 24184*T1^5*T2^7 + 
     10783*T1^6*T2^7 + 15532*T1^7*T2^7 - 32348*T1^8*T2^7 + 17064*T1^9*T2^7 + 
     12105*T1^10*T2^7 - 23513*T1^11*T2^7 + 4620*T1^12*T2^7 + 
     1866*T1^13*T2^7 - 544*T1^14*T2^7 - 40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 
     457*T1^2*T2^8 + 785*T1^3*T2^8 - 9544*T1^4*T2^8 + 13212*T1^5*T2^8 + 
     15993*T1^6*T2^8 - 32348*T1^7*T2^8 + 22740*T1^8*T2^8 + 11680*T1^9*T2^8 - 
     30361*T1^10*T2^8 + 17444*T1^11*T2^8 + 12428*T1^12*T2^8 - 
     7765*T1^13*T2^8 + 517*T1^14*T2^8 + 272*T1^15*T2^8 + 6*T1^16*T2^8 + 
     8*T1*T2^9 - 64*T1^2*T2^9 - 1104*T1^3*T2^9 + 4428*T1^4*T2^9 + 
     2643*T1^5*T2^9 - 27961*T1^6*T2^9 + 17064*T1^7*T2^9 + 11680*T1^8*T2^9 - 
     36200*T1^9*T2^9 + 23345*T1^10*T2^9 + 8328*T1^11*T2^9 - 
     28885*T1^12*T2^9 + 6873*T1^13*T2^9 + 2055*T1^14*T2^9 - 696*T1^15*T2^9 - 
     48*T1^16*T2^9 + 392*T1^3*T2^10 + 38*T1^4*T2^10 - 7713*T1^5*T2^10 + 
     15280*T1^6*T2^10 + 12105*T1^7*T2^10 - 30361*T1^8*T2^10 + 
     23345*T1^9*T2^10 + 11515*T1^10*T2^10 - 35515*T1^11*T2^10 + 
     30842*T1^12*T2^10 + 1197*T1^13*T2^10 - 4946*T1^14*T2^10 + 
     664*T1^15*T2^10 + 162*T1^16*T2^10 - 49*T1^3*T2^11 - 552*T1^4*T2^11 + 
     2277*T1^5*T2^11 + 3361*T1^6*T2^11 - 23513*T1^7*T2^11 + 
     17444*T1^8*T2^11 + 8328*T1^9*T2^11 - 35515*T1^10*T2^11 + 
     35370*T1^11*T2^11 - 13473*T1^12*T2^11 - 10959*T1^13*T2^11 + 
     5667*T1^14*T2^11 - 8*T1^15*T2^11 - 294*T1^16*T2^11 + 118*T1^4*T2^12 + 
     232*T1^5*T2^12 - 3318*T1^6*T2^12 + 4620*T1^7*T2^12 + 12428*T1^8*T2^12 - 
     28885*T1^9*T2^12 + 30842*T1^10*T2^12 - 13473*T1^11*T2^12 - 
     6028*T1^12*T2^12 + 13440*T1^13*T2^12 - 3218*T1^14*T2^12 - 
     872*T1^15*T2^12 + 354*T1^16*T2^12 - 147*T1^5*T2^13 + 312*T1^6*T2^13 + 
     1866*T1^7*T2^13 - 7765*T1^8*T2^13 + 6873*T1^9*T2^13 + 1197*T1^10*T2^13 - 
     10959*T1^11*T2^13 + 13440*T1^12*T2^13 - 7975*T1^13*T2^13 - 
     159*T1^14*T2^13 + 1272*T1^15*T2^13 - 294*T1^16*T2^13 + 108*T1^6*T2^14 - 
     544*T1^7*T2^14 + 517*T1^8*T2^14 + 2055*T1^9*T2^14 - 4946*T1^10*T2^14 + 
     5667*T1^11*T2^14 - 3218*T1^12*T2^14 - 159*T1^13*T2^14 + 
     1921*T1^14*T2^14 - 976*T1^15*T2^14 + 162*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 696*T1^9*T2^15 + 664*T1^10*T2^15 - 8*T1^11*T2^15 - 
     872*T1^12*T2^15 + 1272*T1^13*T2^15 - 976*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 162*T1^10*T2^16 - 
     294*T1^11*T2^16 + 354*T1^12*T2^16 - 294*T1^13*T2^16 + 162*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 364] -> 
  {-((1 - 8*T + 29*T^2 - 63*T^3 + 81*T^4 - 63*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 87*T1^2 + 189*T1^3 - 243*T1^4 + 189*T1^5 - 
      87*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 568*T1^2*T2 - 
      1048*T1^3*T2 + 936*T1^4*T2 - 216*T1^5*T2 - 312*T1^6*T2 + 272*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 87*T2^2 + 568*T1*T2^2 - 1527*T1^2*T2^2 + 
      1998*T1^3*T2^2 + 175*T1^4*T2^2 - 3055*T1^5*T2^2 + 3191*T1^6*T2^2 - 
      1192*T1^7*T2^2 + 97*T1^8*T2^2 + 104*T1^9*T2^2 - 29*T1^10*T2^2 + 
      189*T2^3 - 1048*T1*T2^3 + 1998*T1^2*T2^3 - 311*T1^3*T2^3 - 
      7144*T1^4*T2^3 + 11022*T1^5*T2^3 - 4998*T1^6*T2^3 - 2621*T1^7*T2^3 + 
      3201*T1^8*T2^3 - 1395*T1^9*T2^3 + 232*T1^10*T2^3 - 243*T2^4 + 
      936*T1*T2^4 + 175*T1^2*T2^4 - 7144*T1^3*T2^4 + 19444*T1^4*T2^4 - 
      14294*T1^5*T2^4 - 8732*T1^6*T2^4 + 20302*T1^7*T2^4 - 10076*T1^8*T2^4 + 
      668*T1^9*T2^4 + 1507*T1^10*T2^4 - 648*T1^11*T2^4 + 81*T1^12*T2^4 + 
      189*T2^5 - 216*T1*T2^5 - 3055*T1^2*T2^5 + 11022*T1^3*T2^5 - 
      14294*T1^4*T2^5 - 15936*T1^5*T2^5 + 53343*T1^6*T2^5 - 42552*T1^7*T2^5 - 
      708*T1^8*T2^5 + 17008*T1^9*T2^5 - 9066*T1^10*T2^5 + 1535*T1^11*T2^5 + 
      360*T1^12*T2^5 - 126*T1^13*T2^5 - 87*T2^6 - 312*T1*T2^6 + 
      3191*T1^2*T2^6 - 4998*T1^3*T2^6 - 8732*T1^4*T2^6 + 53343*T1^5*T2^6 - 
      70067*T1^6*T2^6 + 2203*T1^7*T2^6 + 68221*T1^8*T2^6 - 54729*T1^9*T2^6 + 
      9898*T1^10*T2^6 + 4920*T1^11*T2^6 - 3193*T1^12*T2^6 + 312*T1^13*T2^6 + 
      87*T1^14*T2^6 + 24*T2^7 + 272*T1*T2^7 - 1192*T1^2*T2^7 - 
      2621*T1^3*T2^7 + 20302*T1^4*T2^7 - 42552*T1^5*T2^7 + 2203*T1^6*T2^7 + 
      117822*T1^7*T2^7 - 155174*T1^8*T2^7 + 56486*T1^9*T2^7 + 
      28989*T1^10*T2^7 - 24176*T1^11*T2^7 + 6012*T1^12*T2^7 + 
      983*T1^13*T2^7 - 440*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 97*T1^2*T2^8 + 3201*T1^3*T2^8 - 10076*T1^4*T2^8 - 
      708*T1^5*T2^8 + 68221*T1^6*T2^8 - 155174*T1^7*T2^8 + 82200*T1^8*T2^8 + 
      83270*T1^9*T2^8 - 123209*T1^10*T2^8 + 40224*T1^11*T2^8 + 
      432*T1^12*T2^8 - 5141*T1^13*T2^8 + 621*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 104*T1^2*T2^9 - 1395*T1^3*T2^9 + 
      668*T1^4*T2^9 + 17008*T1^5*T2^9 - 54729*T1^6*T2^9 + 56486*T1^7*T2^9 + 
      83270*T1^8*T2^9 - 189726*T1^9*T2^9 + 110769*T1^10*T2^9 + 
      16812*T1^11*T2^9 - 27470*T1^12*T2^9 + 9301*T1^13*T2^9 + 
      780*T1^14*T2^9 - 608*T1^15*T2^9 - 40*T1^16*T2^9 - 29*T1^2*T2^10 + 
      232*T1^3*T2^10 + 1507*T1^4*T2^10 - 9066*T1^5*T2^10 + 9898*T1^6*T2^10 + 
      28989*T1^7*T2^10 - 123209*T1^8*T2^10 + 110769*T1^9*T2^10 + 
      15079*T1^10*T2^10 - 79083*T1^11*T2^10 + 28528*T1^12*T2^10 + 
      852*T1^13*T2^10 - 4877*T1^14*T2^10 + 856*T1^15*T2^10 + 
      145*T1^16*T2^10 - 648*T1^4*T2^11 + 1535*T1^5*T2^11 + 4920*T1^6*T2^11 - 
      24176*T1^7*T2^11 + 40224*T1^8*T2^11 + 16812*T1^9*T2^11 - 
      79083*T1^10*T2^11 + 55452*T1^11*T2^11 + 7126*T1^12*T2^11 - 
      15168*T1^13*T2^11 + 6125*T1^14*T2^11 - 72*T1^15*T2^11 - 
      315*T1^16*T2^11 + 81*T1^4*T2^12 + 360*T1^5*T2^12 - 3193*T1^6*T2^12 + 
      6012*T1^7*T2^12 + 432*T1^8*T2^12 - 27470*T1^9*T2^12 + 
      28528*T1^10*T2^12 + 7126*T1^11*T2^12 - 29088*T1^12*T2^12 + 
      13824*T1^13*T2^12 - 1861*T1^14*T2^12 - 1224*T1^15*T2^12 + 
      405*T1^16*T2^12 - 126*T1^5*T2^13 + 312*T1^6*T2^13 + 983*T1^7*T2^13 - 
      5141*T1^8*T2^13 + 9301*T1^9*T2^13 + 852*T1^10*T2^13 - 
      15168*T1^11*T2^13 + 13824*T1^12*T2^13 - 1629*T1^13*T2^13 - 
      2410*T1^14*T2^13 + 1592*T1^15*T2^13 - 315*T1^16*T2^13 + 87*T1^6*T2^14 - 
      440*T1^7*T2^14 + 621*T1^8*T2^14 + 780*T1^9*T2^14 - 4877*T1^10*T2^14 + 
      6125*T1^11*T2^14 - 1861*T1^12*T2^14 - 2410*T1^13*T2^14 + 
      2245*T1^14*T2^14 - 904*T1^15*T2^14 + 145*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 608*T1^9*T2^15 + 856*T1^10*T2^15 - 72*T1^11*T2^15 - 
      1224*T1^12*T2^15 + 1592*T1^13*T2^15 - 904*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      145*T1^10*T2^16 - 315*T1^11*T2^16 + 405*T1^12*T2^16 - 315*T1^13*T2^16 + 
      145*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 365] -> 
  {-((2 - 9*T + 18*T^2 - 24*T^3 + 25*T^4 - 24*T^5 + 18*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-25 + 112*T1 - 224*T1^2 + 300*T1^3 - 313*T1^4 + 300*T1^5 - 
      224*T1^6 + 112*T1^7 - 25*T1^8 + 112*T2 - 426*T1*T2 + 664*T1^2*T2 - 
      664*T1^3*T2 + 490*T1^4*T2 - 392*T1^5*T2 + 92*T1^6*T2 + 178*T1^7*T2 - 
      228*T1^8*T2 + 76*T1^9*T2 - 224*T2^2 + 664*T1*T2^2 - 570*T1^2*T2^2 + 
      25*T1^3*T2^2 + 507*T1^4*T2^2 - 534*T1^5*T2^2 + 1011*T1^6*T2^2 - 
      1055*T1^7*T2^2 + 582*T1^8*T2^2 + 16*T1^9*T2^2 - 80*T1^10*T2^2 + 
      300*T2^3 - 664*T1*T2^3 + 25*T1^2*T2^3 + 806*T1^3*T2^3 - 
      1126*T1^4*T2^3 + 651*T1^5*T2^3 - 1239*T1^6*T2^3 + 782*T1^7*T2^3 + 
      176*T1^8*T2^3 - 785*T1^9*T2^3 + 308*T1^10*T2^3 + 12*T1^11*T2^3 - 
      313*T2^4 + 490*T1*T2^4 + 507*T1^2*T2^4 - 1126*T1^3*T2^4 + 
      953*T1^4*T2^4 - 184*T1^5*T2^4 + 1121*T1^6*T2^4 - 160*T1^7*T2^4 - 
      927*T1^8*T2^4 + 986*T1^9*T2^4 + 219*T1^10*T2^4 - 446*T1^11*T2^4 + 
      87*T1^12*T2^4 + 300*T2^5 - 392*T1*T2^5 - 534*T1^2*T2^5 + 
      651*T1^3*T2^5 - 184*T1^4*T2^5 - 371*T1^5*T2^5 - 1025*T1^6*T2^5 - 
      323*T1^7*T2^5 + 1063*T1^8*T2^5 - 298*T1^9*T2^5 - 987*T1^10*T2^5 + 
      357*T1^11*T2^5 + 418*T1^12*T2^5 - 180*T1^13*T2^5 - 224*T2^6 + 
      92*T1*T2^6 + 1011*T1^2*T2^6 - 1239*T1^3*T2^6 + 1121*T1^4*T2^6 - 
      1025*T1^5*T2^6 + 2144*T1^6*T2^6 + 238*T1^7*T2^6 - 1060*T1^8*T2^6 + 
      163*T1^9*T2^6 + 185*T1^10*T2^6 + 1029*T1^11*T2^6 - 1077*T1^12*T2^6 - 
      124*T1^13*T2^6 + 208*T1^14*T2^6 + 112*T2^7 + 178*T1*T2^7 - 
      1055*T1^2*T2^7 + 782*T1^3*T2^7 - 160*T1^4*T2^7 - 323*T1^5*T2^7 + 
      238*T1^6*T2^7 - 2644*T1^7*T2^7 + 1904*T1^8*T2^7 + 166*T1^9*T2^7 - 
      53*T1^10*T2^7 - 598*T1^11*T2^7 - 310*T1^12*T2^7 + 1375*T1^13*T2^7 - 
      308*T1^14*T2^7 - 140*T1^15*T2^7 - 25*T2^8 - 228*T1*T2^8 + 
      582*T1^2*T2^8 + 176*T1^3*T2^8 - 927*T1^4*T2^8 + 1063*T1^5*T2^8 - 
      1060*T1^6*T2^8 + 1904*T1^7*T2^8 + 216*T1^8*T2^8 - 1984*T1^9*T2^8 + 
      380*T1^10*T2^8 - 227*T1^11*T2^8 + 1169*T1^12*T2^8 - 1204*T1^13*T2^8 - 
      624*T1^14*T2^8 + 456*T1^15*T2^8 + 39*T1^16*T2^8 + 76*T1*T2^9 + 
      16*T1^2*T2^9 - 785*T1^3*T2^9 + 986*T1^4*T2^9 - 298*T1^5*T2^9 + 
      163*T1^6*T2^9 + 166*T1^7*T2^9 - 1984*T1^8*T2^9 + 2564*T1^9*T2^9 + 
      94*T1^10*T2^9 + 433*T1^11*T2^9 - 736*T1^12*T2^9 - 106*T1^13*T2^9 + 
      1645*T1^14*T2^9 - 470*T1^15*T2^9 - 176*T1^16*T2^9 - 80*T1^2*T2^10 + 
      308*T1^3*T2^10 + 219*T1^4*T2^10 - 987*T1^5*T2^10 + 185*T1^6*T2^10 - 
      53*T1^7*T2^10 + 380*T1^8*T2^10 + 94*T1^9*T2^10 - 2824*T1^10*T2^10 + 
      1135*T1^11*T2^10 - 751*T1^12*T2^10 + 1281*T1^13*T2^10 - 
      1869*T1^14*T2^10 + 92*T1^15*T2^10 + 352*T1^16*T2^10 + 12*T1^3*T2^11 - 
      446*T1^4*T2^11 + 357*T1^5*T2^11 + 1029*T1^6*T2^11 - 598*T1^7*T2^11 - 
      227*T1^8*T2^11 + 433*T1^9*T2^11 + 1135*T1^10*T2^11 + 1207*T1^11*T2^11 - 
      712*T1^12*T2^11 - 609*T1^13*T2^11 + 1248*T1^14*T2^11 + 
      364*T1^15*T2^11 - 468*T1^16*T2^11 + 87*T1^4*T2^12 + 418*T1^5*T2^12 - 
      1077*T1^6*T2^12 - 310*T1^7*T2^12 + 1169*T1^8*T2^12 - 736*T1^9*T2^12 - 
      751*T1^10*T2^12 - 712*T1^11*T2^12 - 711*T1^12*T2^12 + 
      1802*T1^13*T2^12 - 1365*T1^14*T2^12 - 518*T1^15*T2^12 + 
      487*T1^16*T2^12 - 180*T1^5*T2^13 - 124*T1^6*T2^13 + 1375*T1^7*T2^13 - 
      1204*T1^8*T2^13 - 106*T1^9*T2^13 + 1281*T1^10*T2^13 - 609*T1^11*T2^13 + 
      1802*T1^12*T2^13 - 1834*T1^13*T2^13 + 565*T1^14*T2^13 + 
      848*T1^15*T2^13 - 468*T1^16*T2^13 + 208*T1^6*T2^14 - 308*T1^7*T2^14 - 
      624*T1^8*T2^14 + 1645*T1^9*T2^14 - 1869*T1^10*T2^14 + 
      1248*T1^11*T2^14 - 1365*T1^12*T2^14 + 565*T1^13*T2^14 + 
      528*T1^14*T2^14 - 956*T1^15*T2^14 + 352*T1^16*T2^14 - 140*T1^7*T2^15 + 
      456*T1^8*T2^15 - 470*T1^9*T2^15 + 92*T1^10*T2^15 + 364*T1^11*T2^15 - 
      518*T1^12*T2^15 + 848*T1^13*T2^15 - 956*T1^14*T2^15 + 654*T1^15*T2^15 - 
      176*T1^16*T2^15 + 39*T1^8*T2^16 - 176*T1^9*T2^16 + 352*T1^10*T2^16 - 
      468*T1^11*T2^16 + 487*T1^12*T2^16 - 468*T1^13*T2^16 + 352*T1^14*T2^16 - 
      176*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 366] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-192 + 960*T1 - 2116*T1^2 + 2744*T1^3 - 2116*T1^4 + 960*T1^5 - 
      192*T1^6 + 960*T2 - 4160*T1*T2 + 7378*T1^2*T2 - 6658*T1^3*T2 + 
      1422*T1^4*T2 + 2258*T1^5*T2 - 2240*T1^6*T2 + 640*T1^7*T2 - 2116*T2^2 + 
      7378*T1*T2^2 - 8016*T1^2*T2^2 - 1497*T1^3*T2^2 + 14598*T1^4*T2^2 - 
      14521*T1^5*T2^2 + 6064*T1^6*T2^2 + 338*T1^7*T2^2 - 708*T1^8*T2^2 + 
      2744*T2^3 - 6658*T1*T2^3 - 1497*T1^2*T2^3 + 20778*T1^3*T2^3 - 
      31562*T1^4*T2^3 + 13542*T1^5*T2^3 + 6182*T1^6*T2^3 - 10473*T1^7*T2^3 + 
      3502*T1^8*T2^3 + 8*T1^9*T2^3 - 2116*T2^4 + 1422*T1*T2^4 + 
      14598*T1^2*T2^4 - 31562*T1^3*T2^4 + 22632*T1^4*T2^4 + 16866*T1^5*T2^4 - 
      33568*T1^6*T2^4 + 19510*T1^7*T2^4 - 26*T1^8*T2^4 - 3538*T1^9*T2^4 + 
      700*T1^10*T2^4 + 960*T2^5 + 2258*T1*T2^5 - 14521*T1^2*T2^5 + 
      13542*T1^3*T2^5 + 16866*T1^4*T2^5 - 53528*T1^5*T2^5 + 40420*T1^6*T2^5 - 
      206*T1^7*T2^5 - 19626*T1^8*T2^5 + 10647*T1^9*T2^5 - 302*T1^10*T2^5 - 
      640*T1^11*T2^5 - 192*T2^6 - 2240*T1*T2^6 + 6064*T1^2*T2^6 + 
      6182*T1^3*T2^6 - 33568*T1^4*T2^6 + 40420*T1^5*T2^6 + 696*T1^6*T2^6 - 
      40764*T1^7*T2^6 + 34336*T1^8*T2^6 - 6330*T1^9*T2^6 - 6224*T1^10*T2^6 + 
      2240*T1^11*T2^6 + 192*T1^12*T2^6 + 640*T1*T2^7 + 338*T1^2*T2^7 - 
      10473*T1^3*T2^7 + 19510*T1^4*T2^7 - 206*T1^5*T2^7 - 40764*T1^6*T2^7 + 
      53184*T1^7*T2^7 - 17278*T1^8*T2^7 - 13658*T1^9*T2^7 + 
      14695*T1^10*T2^7 - 2222*T1^11*T2^7 - 960*T1^12*T2^7 - 708*T1^2*T2^8 + 
      3502*T1^3*T2^8 - 26*T1^4*T2^8 - 19626*T1^5*T2^8 + 34336*T1^6*T2^8 - 
      17278*T1^7*T2^8 - 21864*T1^8*T2^8 + 31446*T1^9*T2^8 - 
      14650*T1^10*T2^8 - 1458*T1^11*T2^8 + 2108*T1^12*T2^8 + 8*T1^3*T2^9 - 
      3538*T1^4*T2^9 + 10647*T1^5*T2^9 - 6330*T1^6*T2^9 - 13658*T1^7*T2^9 + 
      31446*T1^8*T2^9 - 20926*T1^9*T2^9 + 1671*T1^10*T2^9 + 6622*T1^11*T2^9 - 
      2728*T1^12*T2^9 + 700*T1^4*T2^10 - 302*T1^5*T2^10 - 6224*T1^6*T2^10 + 
      14695*T1^7*T2^10 - 14650*T1^8*T2^10 + 1671*T1^9*T2^10 + 
      7856*T1^10*T2^10 - 7342*T1^11*T2^10 + 2108*T1^12*T2^10 - 
      640*T1^5*T2^11 + 2240*T1^6*T2^11 - 2222*T1^7*T2^11 - 1458*T1^8*T2^11 + 
      6622*T1^9*T2^11 - 7342*T1^10*T2^11 + 4160*T1^11*T2^11 - 
      960*T1^12*T2^11 + 192*T1^6*T2^12 - 960*T1^7*T2^12 + 2108*T1^8*T2^12 - 
      2728*T1^9*T2^12 + 2108*T1^10*T2^12 - 960*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 367] -> 
  {(3 - 9*T + 17*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 17*T^6 - 9*T^7 + 3*T^8)/
    T^4, -((219 - 651*T1 + 1225*T1^2 - 1726*T1^3 + 1941*T1^4 - 1726*T1^5 + 
      1225*T1^6 - 651*T1^7 + 219*T1^8 - 651*T2 + 1371*T1*T2 - 1959*T1^2*T2 + 
      1958*T1^3*T2 - 1291*T1^4*T2 + 86*T1^5*T2 + 851*T1^6*T2 - 1257*T1^7*T2 + 
      1047*T1^8*T2 - 570*T1^9*T2 + 1225*T2^2 - 1959*T1*T2^2 + 
      2682*T1^2*T2^2 - 2736*T1^3*T2^2 + 2341*T1^4*T2^2 - 1520*T1^5*T2^2 + 
      1321*T1^6*T2^2 - 1206*T1^7*T2^2 + 1254*T1^8*T2^2 - 1041*T1^9*T2^2 + 
      919*T1^10*T2^2 - 1726*T2^3 + 1958*T1*T2^3 - 2736*T1^2*T2^3 + 
      2493*T1^3*T2^3 - 1909*T1^4*T2^3 + 703*T1^5*T2^3 - 350*T1^6*T2^3 - 
      406*T1^7*T2^3 + 639*T1^8*T2^3 - 900*T1^9*T2^3 + 473*T1^10*T2^3 - 
      1078*T1^11*T2^3 + 1941*T2^4 - 1291*T1*T2^4 + 2341*T1^2*T2^4 - 
      1909*T1^3*T2^4 + 1693*T1^4*T2^4 - 818*T1^5*T2^4 + 1063*T1^6*T2^4 - 
      278*T1^7*T2^4 + 397*T1^8*T2^4 - 181*T1^9*T2^4 + 721*T1^10*T2^4 + 
      329*T1^11*T2^4 + 969*T1^12*T2^4 - 1726*T2^5 + 86*T1*T2^5 - 
      1520*T1^2*T2^5 + 703*T1^3*T2^5 - 818*T1^4*T2^5 + 119*T1^5*T2^5 - 
      646*T1^6*T2^5 - 367*T1^7*T2^5 - 85*T1^8*T2^5 - 173*T1^9*T2^5 - 
      440*T1^10*T2^5 - 737*T1^11*T2^5 - 967*T1^12*T2^5 - 646*T1^13*T2^5 + 
      1225*T2^6 + 851*T1*T2^6 + 1321*T1^2*T2^6 - 350*T1^3*T2^6 + 
      1063*T1^4*T2^6 - 646*T1^5*T2^6 + 1264*T1^6*T2^6 - 54*T1^7*T2^6 + 
      760*T1^8*T2^6 - 268*T1^9*T2^6 + 685*T1^10*T2^6 + 568*T1^11*T2^6 + 
      1141*T1^12*T2^6 + 1013*T1^13*T2^6 + 307*T1^14*T2^6 - 651*T2^7 - 
      1257*T1*T2^7 - 1206*T1^2*T2^7 - 406*T1^3*T2^7 - 278*T1^4*T2^7 - 
      367*T1^5*T2^7 - 54*T1^6*T2^7 - 882*T1^7*T2^7 - 396*T1^8*T2^7 - 
      448*T1^10*T2^7 - 503*T1^11*T2^7 - 1009*T1^12*T2^7 - 1206*T1^13*T2^7 - 
      663*T1^14*T2^7 - 84*T1^15*T2^7 + 219*T2^8 + 1047*T1*T2^8 + 
      1254*T1^2*T2^8 + 639*T1^3*T2^8 + 397*T1^4*T2^8 - 85*T1^5*T2^8 + 
      760*T1^6*T2^8 - 396*T1^7*T2^8 + 1620*T1^8*T2^8 - 732*T1^9*T2^8 + 
      736*T1^10*T2^8 + 137*T1^11*T2^8 + 833*T1^12*T2^8 + 1053*T1^13*T2^8 + 
      936*T1^14*T2^8 + 237*T1^15*T2^8 + 3*T1^16*T2^8 - 570*T1*T2^9 - 
      1041*T1^2*T2^9 - 900*T1^3*T2^9 - 181*T1^4*T2^9 - 173*T1^5*T2^9 - 
      268*T1^6*T2^9 - 732*T1^8*T2^9 - 246*T1^9*T2^9 + 54*T1^10*T2^9 - 
      349*T1^11*T2^9 - 398*T1^12*T2^9 - 784*T1^13*T2^9 - 900*T1^14*T2^9 - 
      447*T1^15*T2^9 - 3*T1^16*T2^9 + 919*T1^2*T2^10 + 473*T1^3*T2^10 + 
      721*T1^4*T2^10 - 440*T1^5*T2^10 + 685*T1^6*T2^10 - 448*T1^7*T2^10 + 
      736*T1^8*T2^10 + 54*T1^9*T2^10 + 232*T1^10*T2^10 - 70*T1^11*T2^10 + 
      307*T1^12*T2^10 + 478*T1^13*T2^10 + 541*T1^14*T2^10 + 635*T1^15*T2^10 + 
      T1^16*T2^10 - 1078*T1^3*T2^11 + 329*T1^4*T2^11 - 737*T1^5*T2^11 + 
      568*T1^6*T2^11 - 503*T1^7*T2^11 + 137*T1^8*T2^11 - 349*T1^9*T2^11 - 
      70*T1^10*T2^11 - 67*T1^11*T2^11 + 142*T1^12*T2^11 - 575*T1^13*T2^11 + 
      46*T1^14*T2^11 - 724*T1^15*T2^11 + 2*T1^16*T2^11 + 969*T1^4*T2^12 - 
      967*T1^5*T2^12 + 1141*T1^6*T2^12 - 1009*T1^7*T2^12 + 833*T1^8*T2^12 - 
      398*T1^9*T2^12 + 307*T1^10*T2^12 + 142*T1^11*T2^12 - 463*T1^12*T2^12 + 
      719*T1^13*T2^12 - 479*T1^14*T2^12 + 653*T1^15*T2^12 - 3*T1^16*T2^12 - 
      646*T1^5*T2^13 + 1013*T1^6*T2^13 - 1206*T1^7*T2^13 + 1053*T1^8*T2^13 - 
      784*T1^9*T2^13 + 478*T1^10*T2^13 - 575*T1^11*T2^13 + 719*T1^12*T2^13 - 
      801*T1^13*T2^13 + 630*T1^14*T2^13 - 472*T1^15*T2^13 + 2*T1^16*T2^13 + 
      307*T1^6*T2^14 - 663*T1^7*T2^14 + 936*T1^8*T2^14 - 900*T1^9*T2^14 + 
      541*T1^10*T2^14 + 46*T1^11*T2^14 - 479*T1^12*T2^14 + 630*T1^13*T2^14 - 
      492*T1^14*T2^14 + 255*T1^15*T2^14 + T1^16*T2^14 - 84*T1^7*T2^15 + 
      237*T1^8*T2^15 - 447*T1^9*T2^15 + 635*T1^10*T2^15 - 724*T1^11*T2^15 + 
      653*T1^12*T2^15 - 472*T1^13*T2^15 + 255*T1^14*T2^15 - 87*T1^15*T2^15 - 
      3*T1^16*T2^15 + 3*T1^8*T2^16 - 3*T1^9*T2^16 + T1^10*T2^16 + 
      2*T1^11*T2^16 - 3*T1^12*T2^16 + 2*T1^13*T2^16 + T1^14*T2^16 - 
      3*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 368] -> 
  {(6 - 20*T + 36*T^2 - 43*T^3 + 36*T^4 - 20*T^5 + 6*T^6)/T^3, 
   -((1347 - 4441*T1 + 7960*T1^2 - 9495*T1^3 + 7960*T1^4 - 4441*T1^5 + 
      1347*T1^6 - 4441*T2 + 10960*T1*T2 - 14065*T1^2*T2 + 9413*T1^3*T2 - 
      67*T1^4*T2 - 7345*T1^5*T2 + 7840*T1^6*T2 - 3721*T1^7*T2 + 7960*T2^2 - 
      14065*T1*T2^2 + 11728*T1^2*T2^2 - 345*T1^3*T2^2 - 9182*T1^4*T2^2 + 
      9591*T1^5*T2^2 - 1232*T1^6*T2^2 - 5425*T1^7*T2^2 + 5368*T1^8*T2^2 - 
      9495*T2^3 + 9413*T1*T2^3 - 345*T1^2*T2^3 - 11526*T1^3*T2^3 + 
      11669*T1^4*T2^3 - 1867*T1^5*T2^3 - 9132*T1^6*T2^3 + 8799*T1^7*T2^3 - 
      1747*T1^8*T2^3 - 4851*T1^9*T2^3 + 7960*T2^4 - 67*T1*T2^4 - 
      9182*T1^2*T2^4 + 11669*T1^3*T2^4 + 784*T1^4*T2^4 - 12714*T1^5*T2^4 + 
      14424*T1^6*T2^4 - 2779*T1^7*T2^4 - 5886*T1^8*T2^4 + 6893*T1^9*T2^4 + 
      2776*T1^10*T2^4 - 4441*T2^5 - 7345*T1*T2^5 + 9591*T1^2*T2^5 - 
      1867*T1^3*T2^5 - 12714*T1^4*T2^5 + 13810*T1^5*T2^5 - 3122*T1^6*T2^5 - 
      10266*T1^7*T2^5 + 9845*T1^8*T2^5 - 2721*T1^9*T2^5 - 6385*T1^10*T2^5 - 
      841*T1^11*T2^5 + 1347*T2^6 + 7840*T1*T2^6 - 1232*T1^2*T2^6 - 
      9132*T1^3*T2^6 + 14424*T1^4*T2^6 - 3122*T1^5*T2^6 - 9576*T1^6*T2^6 + 
      12814*T1^7*T2^6 - 2312*T1^8*T2^6 - 5604*T1^9*T2^6 + 7440*T1^10*T2^6 + 
      2560*T1^11*T2^6 + 51*T1^12*T2^6 - 3721*T1*T2^7 - 5425*T1^2*T2^7 + 
      8799*T1^3*T2^7 - 2779*T1^4*T2^7 - 10266*T1^5*T2^7 + 12814*T1^6*T2^7 - 
      4118*T1^7*T2^7 - 7818*T1^8*T2^7 + 8933*T1^9*T2^7 - 3513*T1^10*T2^7 - 
      4465*T1^11*T2^7 - 121*T1^12*T2^7 + 5368*T1^2*T2^8 - 1747*T1^3*T2^8 - 
      5886*T1^4*T2^8 + 9845*T1^5*T2^8 - 2312*T1^6*T2^8 - 7818*T1^7*T2^8 + 
      11328*T1^8*T2^8 - 4603*T1^9*T2^8 - 2590*T1^10*T2^8 + 5213*T1^11*T2^8 + 
      184*T1^12*T2^8 - 4851*T1^3*T2^9 + 6893*T1^4*T2^9 - 2721*T1^5*T2^9 - 
      5604*T1^6*T2^9 + 8933*T1^7*T2^9 - 4603*T1^8*T2^9 - 3210*T1^9*T2^9 + 
      6423*T1^10*T2^9 - 4267*T1^11*T2^9 - 207*T1^12*T2^9 + 2776*T1^4*T2^10 - 
      6385*T1^5*T2^10 + 7440*T1^6*T2^10 - 3513*T1^7*T2^10 - 2590*T1^8*T2^10 + 
      6423*T1^9*T2^10 - 5520*T1^10*T2^10 + 2255*T1^11*T2^10 + 
      184*T1^12*T2^10 - 841*T1^5*T2^11 + 2560*T1^6*T2^11 - 4465*T1^7*T2^11 + 
      5213*T1^8*T2^11 - 4267*T1^9*T2^11 + 2255*T1^10*T2^11 - 
      560*T1^11*T2^11 - 121*T1^12*T2^11 + 51*T1^6*T2^12 - 121*T1^7*T2^12 + 
      184*T1^8*T2^12 - 207*T1^9*T2^12 + 184*T1^10*T2^12 - 121*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 369] -> 
  {(1 - 3*T + 6*T^2 - 8*T^3 + 10*T^4 - 11*T^5 + 10*T^6 - 8*T^7 + 6*T^8 - 
     3*T^9 + T^10)/T^5, (-2 + 6*T1 - 12*T1^2 + 16*T1^3 - 20*T1^4 + 22*T1^5 - 
     20*T1^6 + 16*T1^7 - 12*T1^8 + 6*T1^9 - 2*T1^10 + 6*T2 - 15*T1*T2 + 
     27*T1^2*T2 - 30*T1^3*T2 + 36*T1^4*T2 - 36*T1^5*T2 + 27*T1^6*T2 - 
     18*T1^7*T2 + 12*T1^8*T2 - 3*T1^10*T2 + 3*T1^11*T2 - 12*T2^2 + 
     27*T1*T2^2 - 46*T1^2*T2^2 + 47*T1^3*T2^2 - 59*T1^4*T2^2 + 56*T1^5*T2^2 - 
     36*T1^6*T2^2 + 20*T1^7*T2^2 - 11*T1^8*T2^2 - 13*T1^9*T2^2 + 
     14*T1^10*T2^2 - 9*T1^11*T2^2 + 16*T2^3 - 30*T1*T2^3 + 47*T1^2*T2^3 - 
     40*T1^3*T2^3 + 58*T1^4*T2^3 - 53*T1^5*T2^3 + 29*T1^6*T2^3 - 
     25*T1^7*T2^3 + 31*T1^8*T2^3 - 2*T1^9*T2^3 + 14*T1^10*T2^3 - 
     25*T1^11*T2^3 + 24*T1^12*T2^3 - 8*T1^13*T2^3 - 20*T2^4 + 36*T1*T2^4 - 
     59*T1^2*T2^4 + 58*T1^3*T2^4 - 93*T1^4*T2^4 + 90*T1^5*T2^4 - 
     53*T1^6*T2^4 + 49*T1^7*T2^4 - 37*T1^8*T2^4 - 38*T1^9*T2^4 + 
     27*T1^10*T2^4 - 22*T1^11*T2^4 + 37*T1^12*T2^4 - 36*T1^13*T2^4 + 
     20*T1^14*T2^4 + 22*T2^5 - 36*T1*T2^5 + 56*T1^2*T2^5 - 53*T1^3*T2^5 + 
     90*T1^4*T2^5 - 85*T1^5*T2^5 + 44*T1^6*T2^5 - 80*T1^7*T2^5 + 
     78*T1^8*T2^5 - 5*T1^9*T2^5 + 77*T1^10*T2^5 - 82*T1^11*T2^5 + 
     39*T1^12*T2^5 - 52*T1^13*T2^5 + 39*T1^14*T2^5 - 33*T1^15*T2^5 - 
     20*T2^6 + 27*T1*T2^6 - 36*T1^2*T2^6 + 29*T1^3*T2^6 - 53*T1^4*T2^6 + 
     44*T1^5*T2^6 + 7*T1^6*T2^6 + 58*T1^7*T2^6 - 11*T1^8*T2^6 - 
     74*T1^9*T2^6 - 29*T1^10*T2^6 - 28*T1^11*T2^6 + 91*T1^12*T2^6 - 
     19*T1^13*T2^6 + 48*T1^14*T2^6 - 21*T1^15*T2^6 + 40*T1^16*T2^6 + 
     16*T2^7 - 18*T1*T2^7 + 20*T1^2*T2^7 - 25*T1^3*T2^7 + 49*T1^4*T2^7 - 
     80*T1^5*T2^7 + 58*T1^6*T2^7 - 202*T1^7*T2^7 + 150*T1^8*T2^7 - 
     138*T1^9*T2^7 + 278*T1^10*T2^7 - 156*T1^11*T2^7 + 98*T1^12*T2^7 - 
     179*T1^13*T2^7 + 37*T1^14*T2^7 - 64*T1^15*T2^7 - 40*T1^17*T2^7 - 
     12*T2^8 + 12*T1*T2^8 - 11*T1^2*T2^8 + 31*T1^3*T2^8 - 37*T1^4*T2^8 + 
     78*T1^5*T2^8 - 11*T1^6*T2^8 + 150*T1^7*T2^8 + 11*T1^8*T2^8 - 
     27*T1^9*T2^8 - 37*T1^10*T2^8 - 154*T1^11*T2^8 + 165*T1^12*T2^8 - 
     50*T1^13*T2^8 + 203*T1^14*T2^8 - 33*T1^15*T2^8 + 85*T1^16*T2^8 + 
     12*T1^17*T2^8 + 36*T1^18*T2^8 + 6*T2^9 - 13*T1^2*T2^9 - 2*T1^3*T2^9 - 
     38*T1^4*T2^9 - 5*T1^5*T2^9 - 74*T1^6*T2^9 - 138*T1^7*T2^9 - 
     27*T1^8*T2^9 - 113*T1^9*T2^9 + 211*T1^10*T2^9 - 75*T1^11*T2^9 + 
     118*T1^12*T2^9 - 188*T1^13*T2^9 - 48*T1^14*T2^9 - 130*T1^15*T2^9 - 
     62*T1^16*T2^9 - 37*T1^17*T2^9 - 45*T1^18*T2^9 - 21*T1^19*T2^9 - 
     2*T2^10 - 3*T1*T2^10 + 14*T1^2*T2^10 + 14*T1^3*T2^10 + 27*T1^4*T2^10 + 
     77*T1^5*T2^10 - 29*T1^6*T2^10 + 278*T1^7*T2^10 - 37*T1^8*T2^10 + 
     211*T1^9*T2^10 - 120*T1^10*T2^10 - 115*T1^11*T2^10 + 143*T1^12*T2^10 - 
     154*T1^13*T2^10 + 391*T1^14*T2^10 - 105*T1^15*T2^10 + 279*T1^16*T2^10 - 
     26*T1^17*T2^10 + 74*T1^18*T2^10 + 39*T1^19*T2^10 + 8*T1^20*T2^10 + 
     3*T1*T2^11 - 9*T1^2*T2^11 - 25*T1^3*T2^11 - 22*T1^4*T2^11 - 
     82*T1^5*T2^11 - 28*T1^6*T2^11 - 156*T1^7*T2^11 - 154*T1^8*T2^11 - 
     75*T1^9*T2^11 - 115*T1^10*T2^11 + 209*T1^11*T2^11 - 123*T1^12*T2^11 + 
     102*T1^13*T2^11 - 270*T1^14*T2^11 - 71*T1^15*T2^11 - 174*T1^16*T2^11 - 
     82*T1^17*T2^11 - 49*T1^18*T2^11 - 54*T1^19*T2^11 - 24*T1^20*T2^11 + 
     24*T1^3*T2^12 + 37*T1^4*T2^12 + 39*T1^5*T2^12 + 91*T1^6*T2^12 + 
     98*T1^7*T2^12 + 165*T1^8*T2^12 + 118*T1^9*T2^12 + 143*T1^10*T2^12 - 
     123*T1^11*T2^12 + 95*T1^12*T2^12 - 186*T1^13*T2^12 + 341*T1^14*T2^12 - 
     30*T1^15*T2^12 + 331*T1^16*T2^12 - 25*T1^17*T2^12 + 133*T1^18*T2^12 + 
     24*T1^19*T2^12 + 48*T1^20*T2^12 - 8*T1^3*T2^13 - 36*T1^4*T2^13 - 
     52*T1^5*T2^13 - 19*T1^6*T2^13 - 179*T1^7*T2^13 - 50*T1^8*T2^13 - 
     188*T1^9*T2^13 - 154*T1^10*T2^13 + 102*T1^11*T2^13 - 186*T1^12*T2^13 + 
     326*T1^13*T2^13 - 402*T1^14*T2^13 + 128*T1^15*T2^13 - 407*T1^16*T2^13 + 
     43*T1^17*T2^13 - 136*T1^18*T2^13 - 18*T1^19*T2^13 - 64*T1^20*T2^13 + 
     20*T1^4*T2^14 + 39*T1^5*T2^14 + 48*T1^6*T2^14 + 37*T1^7*T2^14 + 
     203*T1^8*T2^14 - 48*T1^9*T2^14 + 391*T1^10*T2^14 - 270*T1^11*T2^14 + 
     341*T1^12*T2^14 - 402*T1^13*T2^14 + 355*T1^14*T2^14 - 120*T1^15*T2^14 + 
     347*T1^16*T2^14 - 11*T1^17*T2^14 + 132*T1^18*T2^14 - 9*T1^19*T2^14 + 
     80*T1^20*T2^14 - 33*T1^5*T2^15 - 21*T1^6*T2^15 - 64*T1^7*T2^15 - 
     33*T1^8*T2^15 - 130*T1^9*T2^15 - 105*T1^10*T2^15 - 71*T1^11*T2^15 - 
     30*T1^12*T2^15 + 128*T1^13*T2^15 - 120*T1^14*T2^15 + 57*T1^15*T2^15 - 
     302*T1^16*T2^15 + 59*T1^17*T2^15 - 172*T1^18*T2^15 + 54*T1^19*T2^15 - 
     88*T1^20*T2^15 + 40*T1^6*T2^16 + 85*T1^8*T2^16 - 62*T1^9*T2^16 + 
     279*T1^10*T2^16 - 174*T1^11*T2^16 + 331*T1^12*T2^16 - 407*T1^13*T2^16 + 
     347*T1^14*T2^16 - 302*T1^15*T2^16 + 399*T1^16*T2^16 - 142*T1^17*T2^16 + 
     181*T1^18*T2^16 - 72*T1^19*T2^16 + 80*T1^20*T2^16 - 40*T1^7*T2^17 + 
     12*T1^8*T2^17 - 37*T1^9*T2^17 - 26*T1^10*T2^17 - 82*T1^11*T2^17 - 
     25*T1^12*T2^17 + 43*T1^13*T2^17 - 11*T1^14*T2^17 + 59*T1^15*T2^17 - 
     142*T1^16*T2^17 + 28*T1^17*T2^17 - 109*T1^18*T2^17 + 66*T1^19*T2^17 - 
     64*T1^20*T2^17 + 36*T1^8*T2^18 - 45*T1^9*T2^18 + 74*T1^10*T2^18 - 
     49*T1^11*T2^18 + 133*T1^12*T2^18 - 136*T1^13*T2^18 + 132*T1^14*T2^18 - 
     172*T1^15*T2^18 + 181*T1^16*T2^18 - 109*T1^17*T2^18 + 134*T1^18*T2^18 - 
     81*T1^19*T2^18 + 48*T1^20*T2^18 - 21*T1^9*T2^19 + 39*T1^10*T2^19 - 
     54*T1^11*T2^19 + 24*T1^12*T2^19 - 18*T1^13*T2^19 - 9*T1^14*T2^19 + 
     54*T1^15*T2^19 - 72*T1^16*T2^19 + 66*T1^17*T2^19 - 81*T1^18*T2^19 + 
     51*T1^19*T2^19 - 24*T1^20*T2^19 + 8*T1^10*T2^20 - 24*T1^11*T2^20 + 
     48*T1^12*T2^20 - 64*T1^13*T2^20 + 80*T1^14*T2^20 - 88*T1^15*T2^20 + 
     80*T1^16*T2^20 - 64*T1^17*T2^20 + 48*T1^18*T2^20 - 24*T1^19*T2^20 + 
     8*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 370] -> 
  {(2 - 7*T + 15*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 15*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-15 + 53*T1 - 114*T1^2 + 160*T1^3 - 175*T1^4 + 160*T1^5 - 
     114*T1^6 + 53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 313*T1^2*T2 - 
     372*T1^3*T2 + 347*T1^4*T2 - 269*T1^5*T2 + 132*T1^6*T2 + 5*T1^7*T2 - 
     36*T1^8*T2 + 25*T1^9*T2 - 114*T2^2 + 313*T1*T2^2 - 550*T1^2*T2^2 + 
     553*T1^3*T2^2 - 421*T1^4*T2^2 + 226*T1^5*T2^2 + 59*T1^6*T2^2 - 
     287*T1^7*T2^2 + 230*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 
     160*T2^3 - 372*T1*T2^3 + 553*T1^2*T2^3 - 383*T1^3*T2^3 + 169*T1^4*T2^3 - 
     49*T1^5*T2^3 - 133*T1^6*T2^3 + 169*T1^7*T2^3 + 205*T1^8*T2^3 - 
     392*T1^9*T2^3 + 300*T1^10*T2^3 - 92*T1^11*T2^3 - 175*T2^4 + 
     347*T1*T2^4 - 421*T1^2*T2^4 + 169*T1^3*T2^4 - 44*T1^4*T2^4 + 
     157*T1^5*T2^4 + 16*T1^6*T2^4 - 67*T1^7*T2^4 - 296*T1^8*T2^4 + 
     127*T1^9*T2^4 + 281*T1^10*T2^4 - 353*T1^11*T2^4 + 193*T1^12*T2^4 + 
     160*T2^5 - 269*T1*T2^5 + 226*T1^2*T2^5 - 49*T1^3*T2^5 + 157*T1^4*T2^5 - 
     630*T1^5*T2^5 + 472*T1^6*T2^5 - 620*T1^7*T2^5 + 1050*T1^8*T2^5 - 
     494*T1^9*T2^5 - 49*T1^10*T2^5 - 173*T1^11*T2^5 + 235*T1^12*T2^5 - 
     260*T1^13*T2^5 - 114*T2^6 + 132*T1*T2^6 + 59*T1^2*T2^6 - 133*T1^3*T2^6 + 
     16*T1^4*T2^6 + 472*T1^5*T2^6 + 5*T1^6*T2^6 + 259*T1^7*T2^6 - 
     367*T1^8*T2^6 - 620*T1^9*T2^6 + 778*T1^10*T2^6 + 77*T1^11*T2^6 + 
     23*T1^12*T2^6 + 48*T1^13*T2^6 + 246*T1^14*T2^6 + 53*T2^7 + 5*T1*T2^7 - 
     287*T1^2*T2^7 + 169*T1^3*T2^7 - 67*T1^4*T2^7 - 620*T1^5*T2^7 + 
     259*T1^6*T2^7 - 1105*T1^7*T2^7 + 995*T1^8*T2^7 - 98*T1^9*T2^7 + 
     472*T1^10*T2^7 - 1124*T1^11*T2^7 + T1^12*T2^7 + 28*T1^13*T2^7 - 
     359*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 230*T1^2*T2^8 + 
     205*T1^3*T2^8 - 296*T1^4*T2^8 + 1050*T1^5*T2^8 - 367*T1^6*T2^8 + 
     995*T1^7*T2^8 + 24*T1^8*T2^8 - 951*T1^9*T2^8 + 491*T1^10*T2^8 - 
     294*T1^11*T2^8 + 1592*T1^12*T2^8 - 593*T1^13*T2^8 + 452*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     392*T1^3*T2^9 + 127*T1^4*T2^9 - 494*T1^5*T2^9 - 620*T1^6*T2^9 - 
     98*T1^7*T2^9 - 951*T1^8*T2^9 + 1149*T1^9*T2^9 - 455*T1^10*T2^9 + 
     472*T1^11*T2^9 - 1551*T1^12*T2^9 - 41*T1^13*T2^9 - 77*T1^14*T2^9 - 
     471*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 300*T1^3*T2^10 + 
     281*T1^4*T2^10 - 49*T1^5*T2^10 + 778*T1^6*T2^10 + 472*T1^7*T2^10 + 
     491*T1^8*T2^10 - 455*T1^9*T2^10 + 119*T1^10*T2^10 - 620*T1^11*T2^10 + 
     1540*T1^12*T2^10 + 161*T1^13*T2^10 + 245*T1^14*T2^10 + 216*T1^15*T2^10 + 
     366*T1^16*T2^10 - 92*T1^3*T2^11 - 353*T1^4*T2^11 - 173*T1^5*T2^11 + 
     77*T1^6*T2^11 - 1124*T1^7*T2^11 - 294*T1^8*T2^11 + 472*T1^9*T2^11 - 
     620*T1^10*T2^11 + 1386*T1^11*T2^11 - 1775*T1^12*T2^11 + 77*T1^13*T2^11 - 
     572*T1^14*T2^11 + 151*T1^15*T2^11 - 512*T1^16*T2^11 + 193*T1^4*T2^12 + 
     235*T1^5*T2^12 + 23*T1^6*T2^12 + T1^7*T2^12 + 1592*T1^8*T2^12 - 
     1551*T1^9*T2^12 + 1540*T1^10*T2^12 - 1775*T1^11*T2^12 + 
     1340*T1^12*T2^12 - 41*T1^13*T2^12 + 725*T1^14*T2^12 - 465*T1^15*T2^12 + 
     561*T1^16*T2^12 - 260*T1^5*T2^13 + 48*T1^6*T2^13 + 28*T1^7*T2^13 - 
     593*T1^8*T2^13 - 41*T1^9*T2^13 + 161*T1^10*T2^13 + 77*T1^11*T2^13 - 
     41*T1^12*T2^13 - 5*T1^13*T2^13 - 917*T1^14*T2^13 + 720*T1^15*T2^13 - 
     512*T1^16*T2^13 + 246*T1^6*T2^14 - 359*T1^7*T2^14 + 452*T1^8*T2^14 - 
     77*T1^9*T2^14 + 245*T1^10*T2^14 - 572*T1^11*T2^14 + 725*T1^12*T2^14 - 
     917*T1^13*T2^14 + 1232*T1^14*T2^14 - 779*T1^15*T2^14 + 366*T1^16*T2^14 - 
     143*T1^7*T2^15 + 328*T1^8*T2^15 - 471*T1^9*T2^15 + 216*T1^10*T2^15 + 
     151*T1^11*T2^15 - 465*T1^12*T2^15 + 720*T1^13*T2^15 - 779*T1^14*T2^15 + 
     454*T1^15*T2^15 - 171*T1^16*T2^15 + 49*T1^8*T2^16 - 171*T1^9*T2^16 + 
     366*T1^10*T2^16 - 512*T1^11*T2^16 + 561*T1^12*T2^16 - 512*T1^13*T2^16 + 
     366*T1^14*T2^16 - 171*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 371] -> 
  {(2 - 7*T + 14*T^2 - 17*T^3 + 17*T^4 - 17*T^5 + 14*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-15 + 53*T1 - 106*T1^2 + 129*T1^3 - 129*T1^4 + 129*T1^5 - 
     106*T1^6 + 53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 285*T1^2*T2 - 
     277*T1^3*T2 + 238*T1^4*T2 - 238*T1^5*T2 + 157*T1^6*T2 - 9*T1^7*T2 - 
     36*T1^8*T2 + 25*T1^9*T2 - 106*T2^2 + 285*T1*T2^2 - 428*T1^2*T2^2 + 
     280*T1^3*T2^2 - 155*T1^4*T2^2 + 162*T1^5*T2^2 + 13*T1^6*T2^2 - 
     280*T1^7*T2^2 + 244*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 
     129*T2^3 - 277*T1*T2^3 + 280*T1^2*T2^3 + 68*T1^3*T2^3 - 178*T1^4*T2^3 - 
     3*T1^5*T2^3 - 173*T1^6*T2^3 + 412*T1^7*T2^3 - 52*T1^8*T2^3 - 
     266*T1^9*T2^3 + 241*T1^10*T2^3 - 75*T1^11*T2^3 - 129*T2^4 + 
     238*T1*T2^4 - 155*T1^2*T2^4 - 178*T1^3*T2^4 + 96*T1^4*T2^4 + 
     311*T1^5*T2^4 + 24*T1^6*T2^4 - 335*T1^7*T2^4 - 244*T1^8*T2^4 + 
     366*T1^9*T2^4 + 83*T1^10*T2^4 - 238*T1^11*T2^4 + 143*T1^12*T2^4 + 
     129*T2^5 - 238*T1*T2^5 + 162*T1^2*T2^5 - 3*T1^3*T2^5 + 311*T1^4*T2^5 - 
     909*T1^5*T2^5 + 359*T1^6*T2^5 - 236*T1^7*T2^5 + 1131*T1^8*T2^5 - 
     794*T1^9*T2^5 + 31*T1^10*T2^5 - 195*T1^11*T2^5 + 238*T1^12*T2^5 - 
     211*T1^13*T2^5 - 106*T2^6 + 157*T1*T2^6 + 13*T1^2*T2^6 - 173*T1^3*T2^6 + 
     24*T1^4*T2^6 + 359*T1^5*T2^6 + 470*T1^6*T2^6 - 96*T1^7*T2^6 - 
     846*T1^8*T2^6 - 117*T1^9*T2^6 + 500*T1^10*T2^6 + 303*T1^11*T2^6 - 
     15*T1^12*T2^6 - 67*T1^13*T2^6 + 230*T1^14*T2^6 + 53*T2^7 - 9*T1*T2^7 - 
     280*T1^2*T2^7 + 412*T1^3*T2^7 - 335*T1^4*T2^7 - 236*T1^5*T2^7 - 
     96*T1^6*T2^7 - 1187*T1^7*T2^7 + 1713*T1^8*T2^7 - 335*T1^9*T2^7 + 
     597*T1^10*T2^7 - 1066*T1^11*T2^7 - 362*T1^12*T2^7 + 350*T1^13*T2^7 - 
     303*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 244*T1^2*T2^8 - 
     52*T1^3*T2^8 - 244*T1^4*T2^8 + 1131*T1^5*T2^8 - 846*T1^6*T2^8 + 
     1713*T1^7*T2^8 - 660*T1^8*T2^8 - 1089*T1^9*T2^8 + 584*T1^10*T2^8 - 
     807*T1^11*T2^8 + 2232*T1^12*T2^8 - 812*T1^13*T2^8 + 202*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     266*T1^3*T2^9 + 366*T1^4*T2^9 - 794*T1^5*T2^9 - 117*T1^6*T2^9 - 
     335*T1^7*T2^9 - 1089*T1^8*T2^9 + 1811*T1^9*T2^9 - 574*T1^10*T2^9 + 
     716*T1^11*T2^9 - 1525*T1^12*T2^9 - 408*T1^13*T2^9 + 364*T1^14*T2^9 - 
     401*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 241*T1^3*T2^10 + 
     83*T1^4*T2^10 + 31*T1^5*T2^10 + 500*T1^6*T2^10 + 597*T1^7*T2^10 + 
     584*T1^8*T2^10 - 574*T1^9*T2^10 - 732*T1^10*T2^10 + 121*T1^11*T2^10 + 
     976*T1^12*T2^10 + 507*T1^13*T2^10 + 55*T1^14*T2^10 + 17*T1^15*T2^10 + 
     342*T1^16*T2^10 - 75*T1^3*T2^11 - 238*T1^4*T2^11 - 195*T1^5*T2^11 + 
     303*T1^6*T2^11 - 1066*T1^7*T2^11 - 807*T1^8*T2^11 + 716*T1^9*T2^11 + 
     121*T1^10*T2^11 + 1233*T1^11*T2^11 - 2171*T1^12*T2^11 + 
     337*T1^13*T2^11 - 552*T1^14*T2^11 + 238*T1^15*T2^11 - 415*T1^16*T2^11 + 
     143*T1^4*T2^12 + 238*T1^5*T2^12 - 15*T1^6*T2^12 - 362*T1^7*T2^12 + 
     2232*T1^8*T2^12 - 1525*T1^9*T2^12 + 976*T1^10*T2^12 - 2171*T1^11*T2^12 + 
     1892*T1^12*T2^12 + 182*T1^13*T2^12 + 223*T1^14*T2^12 - 238*T1^15*T2^12 + 
     415*T1^16*T2^12 - 211*T1^5*T2^13 - 67*T1^6*T2^13 + 350*T1^7*T2^13 - 
     812*T1^8*T2^13 - 408*T1^9*T2^13 + 507*T1^10*T2^13 + 337*T1^11*T2^13 + 
     182*T1^12*T2^13 - 932*T1^13*T2^13 - 196*T1^14*T2^13 + 451*T1^15*T2^13 - 
     415*T1^16*T2^13 + 230*T1^6*T2^14 - 303*T1^7*T2^14 + 202*T1^8*T2^14 + 
     364*T1^9*T2^14 + 55*T1^10*T2^14 - 552*T1^11*T2^14 + 223*T1^12*T2^14 - 
     196*T1^13*T2^14 + 874*T1^14*T2^14 - 695*T1^15*T2^14 + 342*T1^16*T2^14 - 
     143*T1^7*T2^15 + 328*T1^8*T2^15 - 401*T1^9*T2^15 + 17*T1^10*T2^15 + 
     238*T1^11*T2^15 - 238*T1^12*T2^15 + 451*T1^13*T2^15 - 695*T1^14*T2^15 + 
     454*T1^15*T2^15 - 171*T1^16*T2^15 + 49*T1^8*T2^16 - 171*T1^9*T2^16 + 
     342*T1^10*T2^16 - 415*T1^11*T2^16 + 415*T1^12*T2^16 - 415*T1^13*T2^16 + 
     342*T1^14*T2^16 - 171*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 372] -> 
  {(4 - 16*T + 35*T^2 - 45*T^3 + 35*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-112 + 456*T1 - 1004*T1^2 + 1296*T1^3 - 1004*T1^4 + 456*T1^5 - 112*T1^6 + 
     456*T2 - 1652*T1*T2 + 3246*T1^2*T2 - 3422*T1^3*T2 + 1698*T1^4*T2 - 
     18*T1^5*T2 - 372*T1^6*T2 + 200*T1^7*T2 - 1004*T2^2 + 3246*T1*T2^2 - 
     5448*T1^2*T2^2 + 3725*T1^3*T2^2 + 1432*T1^4*T2^2 - 4395*T1^5*T2^2 + 
     3232*T1^6*T2^2 - 1234*T1^7*T2^2 + 116*T1^8*T2^2 + 1296*T2^3 - 
     3422*T1*T2^3 + 3725*T1^2*T2^3 + 1930*T1^3*T2^3 - 9244*T1^4*T2^3 + 
     8016*T1^5*T2^3 - 170*T1^6*T2^3 - 3975*T1^7*T2^3 + 2978*T1^8*T2^3 - 
     864*T1^9*T2^3 - 1004*T2^4 + 1698*T1*T2^4 + 1432*T1^2*T2^4 - 
     9244*T1^3*T2^4 + 13191*T1^4*T2^4 - 2043*T1^5*T2^4 - 11209*T1^6*T2^4 + 
     10196*T1^7*T2^4 - 2008*T1^8*T2^4 - 1502*T1^9*T2^4 + 1236*T1^10*T2^4 + 
     456*T2^5 - 18*T1*T2^5 - 4395*T1^2*T2^5 + 8016*T1^3*T2^5 - 
     2043*T1^4*T2^5 - 19127*T1^5*T2^5 + 27593*T1^6*T2^5 - 11248*T1^7*T2^5 - 
     4884*T1^8*T2^5 + 4985*T1^9*T2^5 - 1618*T1^10*T2^5 - 824*T1^11*T2^5 - 
     112*T2^6 - 372*T1*T2^6 + 3232*T1^2*T2^6 - 170*T1^3*T2^6 - 
     11209*T1^4*T2^6 + 27593*T1^5*T2^6 - 16380*T1^6*T2^6 - 13249*T1^7*T2^6 + 
     22021*T1^8*T2^6 - 7850*T1^9*T2^6 + 8*T1^10*T2^6 + 2188*T1^11*T2^6 + 
     272*T1^12*T2^6 + 200*T1*T2^7 - 1234*T1^2*T2^7 - 3975*T1^3*T2^7 + 
     10196*T1^4*T2^7 - 11248*T1^5*T2^7 - 13249*T1^6*T2^7 + 33471*T1^7*T2^7 - 
     20453*T1^8*T2^7 - 2704*T1^9*T2^7 + 5405*T1^10*T2^7 - 2834*T1^11*T2^7 - 
     1080*T1^12*T2^7 + 116*T1^2*T2^8 + 2978*T1^3*T2^8 - 2008*T1^4*T2^8 - 
     4884*T1^5*T2^8 + 22021*T1^6*T2^8 - 20453*T1^7*T2^8 - 2379*T1^8*T2^8 + 
     14556*T1^9*T2^8 - 5448*T1^10*T2^8 - 222*T1^11*T2^8 + 2356*T1^12*T2^8 - 
     864*T1^3*T2^9 - 1502*T1^4*T2^9 + 4985*T1^5*T2^9 - 7850*T1^6*T2^9 - 
     2704*T1^7*T2^9 + 14556*T1^8*T2^9 - 9950*T1^9*T2^9 - 2715*T1^10*T2^9 + 
     4898*T1^11*T2^9 - 3024*T1^12*T2^9 + 1236*T1^4*T2^10 - 1618*T1^5*T2^10 + 
     8*T1^6*T2^10 + 5405*T1^7*T2^10 - 5448*T1^8*T2^10 - 2715*T1^9*T2^10 + 
     8688*T1^10*T2^10 - 6098*T1^11*T2^10 + 2356*T1^12*T2^10 - 
     824*T1^5*T2^11 + 2188*T1^6*T2^11 - 2834*T1^7*T2^11 - 222*T1^8*T2^11 + 
     4898*T1^9*T2^11 - 6098*T1^10*T2^11 + 3468*T1^11*T2^11 - 
     1080*T1^12*T2^11 + 272*T1^6*T2^12 - 1080*T1^7*T2^12 + 2356*T1^8*T2^12 - 
     3024*T1^9*T2^12 + 2356*T1^10*T2^12 - 1080*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 373] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 11*T^2 - 13*T^3 + 11*T^4 - 6*T^5 + T^6))/T^4), 
   -((-7 + 49*T1 - 126*T1^2 + 210*T1^3 - 245*T1^4 + 210*T1^5 - 126*T1^6 + 
      49*T1^7 - 7*T1^8 + 49*T2 - 301*T1*T2 + 588*T1^2*T2 - 714*T1^3*T2 + 
      455*T1^4*T2 - 378*T1^6*T2 + 413*T1^7*T2 - 245*T1^8*T2 + 42*T1^9*T2 - 
      126*T2^2 + 588*T1*T2^2 - 321*T1^2*T2^2 - 821*T1^3*T2^2 + 
      2682*T1^4*T2^2 - 3683*T1^5*T2^2 + 3294*T1^6*T2^2 - 1649*T1^7*T2^2 + 
      291*T1^8*T2^2 + 336*T1^9*T2^2 - 90*T1^10*T2^2 + 210*T2^3 - 
      714*T1*T2^3 - 821*T1^2*T2^3 + 2932*T1^3*T2^3 - 4735*T1^4*T2^3 + 
      3389*T1^5*T2^3 - 481*T1^6*T2^3 - 2467*T1^7*T2^3 + 2572*T1^8*T2^3 - 
      1433*T1^9*T2^3 - 210*T1^10*T2^3 + 120*T1^11*T2^3 - 245*T2^4 + 
      455*T1*T2^4 + 2682*T1^2*T2^4 - 4735*T1^3*T2^4 + 5516*T1^4*T2^4 - 
      1999*T1^5*T2^4 - 722*T1^6*T2^4 + 1921*T1^7*T2^4 + 616*T1^8*T2^4 - 
      1795*T1^9*T2^4 + 2262*T1^10*T2^4 - 105*T1^11*T2^4 - 105*T1^12*T2^4 + 
      210*T2^5 - 3683*T1^2*T2^5 + 3389*T1^3*T2^5 - 1999*T1^4*T2^5 - 
      2677*T1^5*T2^5 + 2612*T1^6*T2^5 - 958*T1^7*T2^5 - 2977*T1^8*T2^5 + 
      2036*T1^9*T2^5 - 1021*T1^10*T2^5 - 1778*T1^11*T2^5 + 315*T1^12*T2^5 + 
      60*T1^13*T2^5 - 126*T2^6 - 378*T1*T2^6 + 3294*T1^2*T2^6 - 
      481*T1^3*T2^6 - 722*T1^4*T2^6 + 2612*T1^5*T2^6 + 2097*T1^6*T2^6 - 
      4643*T1^7*T2^6 + 6033*T1^8*T2^6 - 1048*T1^9*T2^6 - 722*T1^10*T2^6 + 
      2579*T1^11*T2^6 + 618*T1^12*T2^6 - 294*T1^13*T2^6 - 18*T1^14*T2^6 + 
      49*T2^7 + 413*T1*T2^7 - 1649*T1^2*T2^7 - 2467*T1^3*T2^7 + 
      1921*T1^4*T2^7 - 958*T1^5*T2^7 - 4643*T1^6*T2^7 + 4033*T1^7*T2^7 - 
      1815*T1^8*T2^7 - 3635*T1^9*T2^7 + 2432*T1^10*T2^7 - 1654*T1^11*T2^7 - 
      2047*T1^12*T2^7 + 259*T1^13*T2^7 + 126*T1^14*T2^7 - 7*T2^8 - 
      245*T1*T2^8 + 291*T1^2*T2^8 + 2572*T1^3*T2^8 + 616*T1^4*T2^8 - 
      2977*T1^5*T2^8 + 6033*T1^6*T2^8 - 1815*T1^7*T2^8 - 1452*T1^8*T2^8 + 
      3919*T1^9*T2^8 + 21*T1^10*T2^8 - 1207*T1^11*T2^8 + 2804*T1^12*T2^8 + 
      352*T1^13*T2^8 - 327*T1^14*T2^8 - 7*T1^15*T2^8 + T1^16*T2^8 + 
      42*T1*T2^9 + 336*T1^2*T2^9 - 1433*T1^3*T2^9 - 1795*T1^4*T2^9 + 
      2036*T1^5*T2^9 - 1048*T1^6*T2^9 - 3635*T1^7*T2^9 + 3919*T1^8*T2^9 - 
      1929*T1^9*T2^9 - 2627*T1^10*T2^9 + 2342*T1^11*T2^9 - 1539*T1^12*T2^9 - 
      1375*T1^13*T2^9 + 475*T1^14*T2^9 + 49*T1^15*T2^9 - 7*T1^16*T2^9 - 
      90*T1^2*T2^10 - 210*T1^3*T2^10 + 2262*T1^4*T2^10 - 1021*T1^5*T2^10 - 
      722*T1^6*T2^10 + 2432*T1^7*T2^10 + 21*T1^8*T2^10 - 2627*T1^9*T2^10 + 
      3957*T1^10*T2^10 - 1228*T1^11*T2^10 - 722*T1^12*T2^10 + 
      2039*T1^13*T2^10 - 414*T1^14*T2^10 - 126*T1^15*T2^10 + 18*T1^16*T2^10 + 
      120*T1^3*T2^11 - 105*T1^4*T2^11 - 1778*T1^5*T2^11 + 2579*T1^6*T2^11 - 
      1654*T1^7*T2^11 - 1207*T1^8*T2^11 + 2342*T1^9*T2^11 - 
      1228*T1^10*T2^11 - 1507*T1^11*T2^11 + 2381*T1^12*T2^11 - 
      1831*T1^13*T2^11 + 127*T1^14*T2^11 + 210*T1^15*T2^11 - 30*T1^16*T2^11 - 
      105*T1^4*T2^12 + 315*T1^5*T2^12 + 618*T1^6*T2^12 - 2047*T1^7*T2^12 + 
      2804*T1^8*T2^12 - 1539*T1^9*T2^12 - 722*T1^10*T2^12 + 
      2381*T1^11*T2^12 - 2096*T1^12*T2^12 + 893*T1^13*T2^12 + 
      198*T1^14*T2^12 - 245*T1^15*T2^12 + 35*T1^16*T2^12 + 60*T1^5*T2^13 - 
      294*T1^6*T2^13 + 259*T1^7*T2^13 + 352*T1^8*T2^13 - 1375*T1^9*T2^13 + 
      2039*T1^10*T2^13 - 1831*T1^11*T2^13 + 893*T1^12*T2^13 - 8*T1^13*T2^13 - 
      353*T1^14*T2^13 + 210*T1^15*T2^13 - 30*T1^16*T2^13 - 18*T1^6*T2^14 + 
      126*T1^7*T2^14 - 327*T1^8*T2^14 + 475*T1^9*T2^14 - 414*T1^10*T2^14 + 
      127*T1^11*T2^14 + 198*T1^12*T2^14 - 353*T1^13*T2^14 + 285*T1^14*T2^14 - 
      126*T1^15*T2^14 + 18*T1^16*T2^14 - 7*T1^8*T2^15 + 49*T1^9*T2^15 - 
      126*T1^10*T2^15 + 210*T1^11*T2^15 - 245*T1^12*T2^15 + 210*T1^13*T2^15 - 
      126*T1^14*T2^15 + 49*T1^15*T2^15 - 7*T1^16*T2^15 + T1^8*T2^16 - 
      7*T1^9*T2^16 + 18*T1^10*T2^16 - 30*T1^11*T2^16 + 35*T1^12*T2^16 - 
      30*T1^13*T2^16 + 18*T1^14*T2^16 - 7*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 374] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 658*T1^3*T2 + 
     532*T1^4*T2 - 91*T1^5*T2 - 224*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 952*T1^2*T2^2 + 603*T1^3*T2^2 + 
     578*T1^4*T2^2 - 1892*T1^5*T2^2 + 1766*T1^6*T2^2 - 849*T1^7*T2^2 - 
     28*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 160*T2^3 - 658*T1*T2^3 + 
     603*T1^2*T2^3 + 1592*T1^3*T2^3 - 4049*T1^4*T2^3 + 4739*T1^5*T2^3 - 
     1527*T1^6*T2^3 - 1221*T1^7*T2^3 + 2046*T1^8*T2^3 - 805*T1^9*T2^3 + 
     28*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 532*T1*T2^4 + 578*T1^2*T2^4 - 
     4049*T1^3*T2^4 + 4670*T1^4*T2^4 - 1138*T1^5*T2^4 - 6286*T1^6*T2^4 + 
     7514*T1^7*T2^4 - 4402*T1^8*T2^4 - 129*T1^9*T2^4 + 970*T1^10*T2^4 - 
     280*T1^11*T2^4 + 160*T2^5 - 91*T1*T2^5 - 1892*T1^2*T2^5 + 
     4739*T1^3*T2^5 - 1138*T1^4*T2^5 - 6091*T1^5*T2^5 + 13063*T1^6*T2^5 - 
     7259*T1^7*T2^5 - 955*T1^8*T2^5 + 5731*T1^9*T2^5 - 2859*T1^10*T2^5 + 
     31*T1^11*T2^5 + 280*T1^12*T2^5 - 40*T1^13*T2^5 - 88*T2^6 - 224*T1*T2^6 + 
     1766*T1^2*T2^6 - 1527*T1^3*T2^6 - 6286*T1^4*T2^6 + 13063*T1^5*T2^6 - 
     13042*T1^6*T2^6 - 1716*T1^7*T2^6 + 10982*T1^8*T2^6 - 9605*T1^9*T2^6 + 
     658*T1^10*T2^6 + 2741*T1^11*T2^6 - 1014*T1^12*T2^6 - 28*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 849*T1^2*T2^7 - 1221*T1^3*T2^7 + 
     7514*T1^4*T2^7 - 7259*T1^5*T2^7 - 1716*T1^6*T2^7 + 16821*T1^7*T2^7 - 
     15877*T1^8*T2^7 + 2456*T1^9*T2^7 + 8371*T1^10*T2^7 - 6487*T1^11*T2^7 + 
     319*T1^12*T2^7 + 823*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 28*T1^2*T2^8 + 2046*T1^3*T2^8 - 4402*T1^4*T2^8 - 
     955*T1^5*T2^8 + 10982*T1^6*T2^8 - 15877*T1^7*T2^8 + 3516*T1^8*T2^8 + 
     12753*T1^9*T2^8 - 13274*T1^10*T2^8 + 2891*T1^11*T2^8 + 4422*T1^12*T2^8 - 
     2158*T1^13*T2^8 + 26*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 805*T1^3*T2^9 - 129*T1^4*T2^9 + 
     5731*T1^5*T2^9 - 9605*T1^6*T2^9 + 2456*T1^7*T2^9 + 12753*T1^8*T2^9 - 
     19945*T1^9*T2^9 + 6628*T1^10*T2^9 + 6025*T1^11*T2^9 - 8270*T1^12*T2^9 + 
     1411*T1^13*T2^9 + 867*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 28*T1^3*T2^10 + 970*T1^4*T2^10 - 2859*T1^5*T2^10 + 
     658*T1^6*T2^10 + 8371*T1^7*T2^10 - 13274*T1^8*T2^10 + 6628*T1^9*T2^10 + 
     10750*T1^10*T2^10 - 14297*T1^11*T2^10 + 7602*T1^12*T2^10 + 
     1409*T1^13*T2^10 - 1810*T1^14*T2^10 + 224*T1^15*T2^10 + 88*T1^16*T2^10 + 
     40*T1^3*T2^11 - 280*T1^4*T2^11 + 31*T1^5*T2^11 + 2741*T1^6*T2^11 - 
     6487*T1^7*T2^11 + 2891*T1^8*T2^11 + 6025*T1^9*T2^11 - 
     14297*T1^10*T2^11 + 8027*T1^11*T2^11 + 382*T1^12*T2^11 - 
     4857*T1^13*T2^11 + 1954*T1^14*T2^11 + 91*T1^15*T2^11 - 160*T1^16*T2^11 + 
     280*T1^5*T2^12 - 1014*T1^6*T2^12 + 319*T1^7*T2^12 + 4422*T1^8*T2^12 - 
     8270*T1^9*T2^12 + 7602*T1^10*T2^12 + 382*T1^11*T2^12 - 
     4650*T1^12*T2^12 + 4239*T1^13*T2^12 - 622*T1^14*T2^12 - 
     532*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 28*T1^6*T2^13 + 
     823*T1^7*T2^13 - 2158*T1^8*T2^13 + 1411*T1^9*T2^13 + 1409*T1^10*T2^13 - 
     4857*T1^11*T2^13 + 4239*T1^12*T2^13 - 1704*T1^13*T2^13 - 
     585*T1^14*T2^13 + 658*T1^15*T2^13 - 160*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 26*T1^8*T2^14 + 867*T1^9*T2^14 - 1810*T1^10*T2^14 + 
     1954*T1^11*T2^14 - 622*T1^12*T2^14 - 585*T1^13*T2^14 + 950*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 224*T1^10*T2^15 + 91*T1^11*T2^15 - 532*T1^12*T2^15 + 
     658*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 160*T1^11*T2^16 + 
     196*T1^12*T2^16 - 160*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 375] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-15 + 53*T1 - 114*T1^2 + 168*T1^3 - 191*T1^4 + 168*T1^5 - 114*T1^6 + 
     53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 313*T1^2*T2 - 400*T1^3*T2 + 
     389*T1^4*T2 - 269*T1^5*T2 + 118*T1^6*T2 + 5*T1^7*T2 - 36*T1^8*T2 + 
     25*T1^9*T2 - 114*T2^2 + 313*T1*T2^2 - 550*T1^2*T2^2 + 609*T1^3*T2^2 - 
     476*T1^4*T2^2 + 164*T1^5*T2^2 + 124*T1^6*T2^2 - 291*T1^7*T2^2 + 
     230*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 168*T2^3 - 400*T1*T2^3 + 
     609*T1^2*T2^3 - 549*T1^3*T2^3 + 316*T1^4*T2^3 - 19*T1^5*T2^3 - 
     70*T1^6*T2^3 - 23*T1^7*T2^3 + 309*T1^8*T2^3 - 426*T1^9*T2^3 + 
     314*T1^10*T2^3 - 96*T1^11*T2^3 - 191*T2^4 + 389*T1*T2^4 - 
     476*T1^2*T2^4 + 316*T1^3*T2^4 - 49*T1^4*T2^4 - 129*T1^5*T2^4 + 
     115*T1^6*T2^4 - 49*T1^7*T2^4 - 69*T1^8*T2^4 - 80*T1^9*T2^4 + 
     368*T1^10*T2^4 - 395*T1^11*T2^4 + 209*T1^12*T2^4 + 168*T2^5 - 
     269*T1*T2^5 + 164*T1^2*T2^5 - 19*T1^3*T2^5 - 129*T1^4*T2^5 - 
     103*T1^5*T2^5 + 358*T1^6*T2^5 - 567*T1^7*T2^5 + 587*T1^8*T2^5 - 
     289*T1^9*T2^5 - 84*T1^10*T2^5 - 121*T1^11*T2^5 + 221*T1^12*T2^5 - 
     272*T1^13*T2^5 - 114*T2^6 + 118*T1*T2^6 + 124*T1^2*T2^6 - 70*T1^3*T2^6 + 
     115*T1^4*T2^6 + 358*T1^5*T2^6 - 282*T1^6*T2^6 + 164*T1^7*T2^6 + 
     318*T1^8*T2^6 - 684*T1^9*T2^6 + 813*T1^10*T2^6 - 40*T1^11*T2^6 + 
     12*T1^12*T2^6 + 90*T1^13*T2^6 + 246*T1^14*T2^6 + 53*T2^7 + 5*T1*T2^7 - 
     291*T1^2*T2^7 - 23*T1^3*T2^7 - 49*T1^4*T2^7 - 567*T1^5*T2^7 + 
     164*T1^6*T2^7 - 247*T1^7*T2^7 - 135*T1^8*T2^7 - 36*T1^9*T2^7 + 
     124*T1^10*T2^7 - 849*T1^11*T2^7 + 88*T1^12*T2^7 - 66*T1^13*T2^7 - 
     359*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 230*T1^2*T2^8 + 
     309*T1^3*T2^8 - 69*T1^4*T2^8 + 587*T1^5*T2^8 + 318*T1^6*T2^8 - 
     135*T1^7*T2^8 + 708*T1^8*T2^8 - 357*T1^9*T2^8 + 510*T1^10*T2^8 + 
     17*T1^11*T2^8 + 987*T1^12*T2^8 - 349*T1^13*T2^8 + 452*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     426*T1^3*T2^9 - 80*T1^4*T2^9 - 289*T1^5*T2^9 - 684*T1^6*T2^9 - 
     36*T1^7*T2^9 - 357*T1^8*T2^9 - 245*T1^9*T2^9 - 236*T1^10*T2^9 + 
     7*T1^11*T2^9 - 1089*T1^12*T2^9 + 31*T1^13*T2^9 - 201*T1^14*T2^9 - 
     471*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 314*T1^3*T2^10 + 
     368*T1^4*T2^10 - 84*T1^5*T2^10 + 813*T1^6*T2^10 + 124*T1^7*T2^10 + 
     510*T1^8*T2^10 - 236*T1^9*T2^10 + 1110*T1^10*T2^10 - 918*T1^11*T2^10 + 
     1511*T1^12*T2^10 - 54*T1^13*T2^10 + 256*T1^14*T2^10 + 286*T1^15*T2^10 + 
     366*T1^16*T2^10 - 96*T1^3*T2^11 - 395*T1^4*T2^11 - 121*T1^5*T2^11 - 
     40*T1^6*T2^11 - 849*T1^7*T2^11 + 17*T1^8*T2^11 + 7*T1^9*T2^11 - 
     918*T1^10*T2^11 + 707*T1^11*T2^11 - 1009*T1^12*T2^11 - 105*T1^13*T2^11 - 
     406*T1^14*T2^11 + 95*T1^15*T2^11 - 536*T1^16*T2^11 + 209*T1^4*T2^12 + 
     221*T1^5*T2^12 + 12*T1^6*T2^12 + 88*T1^7*T2^12 + 987*T1^8*T2^12 - 
     1089*T1^9*T2^12 + 1511*T1^10*T2^12 - 1009*T1^11*T2^12 + 
     967*T1^12*T2^12 - 308*T1^13*T2^12 + 856*T1^14*T2^12 - 563*T1^15*T2^12 + 
     609*T1^16*T2^12 - 272*T1^5*T2^13 + 90*T1^6*T2^13 - 66*T1^7*T2^13 - 
     349*T1^8*T2^13 + 31*T1^9*T2^13 - 54*T1^10*T2^13 - 105*T1^11*T2^13 - 
     308*T1^12*T2^13 + 509*T1^13*T2^13 - 1101*T1^14*T2^13 + 804*T1^15*T2^13 - 
     536*T1^16*T2^13 + 246*T1^6*T2^14 - 359*T1^7*T2^14 + 452*T1^8*T2^14 - 
     201*T1^9*T2^14 + 256*T1^10*T2^14 - 406*T1^11*T2^14 + 856*T1^12*T2^14 - 
     1101*T1^13*T2^14 + 1232*T1^14*T2^14 - 779*T1^15*T2^14 + 
     366*T1^16*T2^14 - 143*T1^7*T2^15 + 328*T1^8*T2^15 - 471*T1^9*T2^15 + 
     286*T1^10*T2^15 + 95*T1^11*T2^15 - 563*T1^12*T2^15 + 804*T1^13*T2^15 - 
     779*T1^14*T2^15 + 454*T1^15*T2^15 - 171*T1^16*T2^15 + 49*T1^8*T2^16 - 
     171*T1^9*T2^16 + 366*T1^10*T2^16 - 536*T1^11*T2^16 + 609*T1^12*T2^16 - 
     536*T1^13*T2^16 + 366*T1^14*T2^16 - 171*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 376] -> 
  {((1 - T + T^2)^2*(4 - 7*T + 4*T^2))/T^3, 
   (2*(-56 + 212*T1 - 424*T1^2 + 524*T1^3 - 424*T1^4 + 212*T1^5 - 56*T1^6 + 
      212*T2 - 710*T1*T2 + 1252*T1^2*T2 - 1278*T1^3*T2 + 732*T1^4*T2 - 
      98*T1^5*T2 - 140*T1^6*T2 + 92*T1^7*T2 - 424*T2^2 + 1252*T1*T2^2 - 
      1809*T1^2*T2^2 + 1114*T1^3*T2^2 + 445*T1^4*T2^2 - 1526*T1^5*T2^2 + 
      1311*T1^6*T2^2 - 548*T1^7*T2^2 + 56*T1^8*T2^2 + 524*T2^3 - 
      1278*T1*T2^3 + 1114*T1^2*T2^3 + 655*T1^3*T2^3 - 2596*T1^4*T2^3 + 
      2489*T1^5*T2^3 - 368*T1^6*T2^3 - 1271*T1^7*T2^3 + 1152*T1^8*T2^3 - 
      364*T1^9*T2^3 - 424*T2^4 + 732*T1*T2^4 + 445*T1^2*T2^4 - 
      2596*T1^3*T2^4 + 3497*T1^4*T2^4 - 944*T1^5*T2^4 - 2473*T1^6*T2^4 + 
      2954*T1^7*T2^4 - 680*T1^8*T2^4 - 648*T1^9*T2^4 + 536*T1^10*T2^4 + 
      212*T2^5 - 98*T1*T2^5 - 1526*T1^2*T2^5 + 2489*T1^3*T2^5 - 
      944*T1^4*T2^5 - 3824*T1^5*T2^5 + 5836*T1^6*T2^5 - 2744*T1^7*T2^5 - 
      1666*T1^8*T2^5 + 1879*T1^9*T2^5 - 548*T1^10*T2^5 - 388*T1^11*T2^5 - 
      56*T2^6 - 140*T1*T2^6 + 1311*T1^2*T2^6 - 368*T1^3*T2^6 - 
      2473*T1^4*T2^6 + 5836*T1^5*T2^6 - 3000*T1^6*T2^6 - 2984*T1^7*T2^6 + 
      5717*T1^8*T2^6 - 2144*T1^9*T2^6 - 399*T1^10*T2^6 + 940*T1^11*T2^6 + 
      136*T1^12*T2^6 + 92*T1*T2^7 - 548*T1^2*T2^7 - 1271*T1^3*T2^7 + 
      2954*T1^4*T2^7 - 2744*T1^5*T2^7 - 2984*T1^6*T2^7 + 6676*T1^7*T2^7 - 
      4544*T1^8*T2^7 - 1201*T1^9*T2^7 + 2134*T1^10*T2^7 - 998*T1^11*T2^7 - 
      508*T1^12*T2^7 + 56*T1^2*T2^8 + 1152*T1^3*T2^8 - 680*T1^4*T2^8 - 
      1666*T1^5*T2^8 + 5717*T1^6*T2^8 - 4544*T1^7*T2^8 - 253*T1^8*T2^8 + 
      3884*T1^9*T2^8 - 1805*T1^10*T2^8 - 228*T1^11*T2^8 + 1016*T1^12*T2^8 - 
      364*T1^3*T2^9 - 648*T1^4*T2^9 + 1879*T1^5*T2^9 - 2144*T1^6*T2^9 - 
      1201*T1^7*T2^9 + 3884*T1^8*T2^9 - 3167*T1^9*T2^9 - 506*T1^10*T2^9 + 
      1782*T1^11*T2^9 - 1252*T1^12*T2^9 + 536*T1^4*T2^10 - 548*T1^5*T2^10 - 
      399*T1^6*T2^10 + 2134*T1^7*T2^10 - 1805*T1^8*T2^10 - 506*T1^9*T2^10 + 
      2721*T1^10*T2^10 - 2348*T1^11*T2^10 + 1016*T1^12*T2^10 - 
      388*T1^5*T2^11 + 940*T1^6*T2^11 - 998*T1^7*T2^11 - 228*T1^8*T2^11 + 
      1782*T1^9*T2^11 - 2348*T1^10*T2^11 + 1510*T1^11*T2^11 - 
      508*T1^12*T2^11 + 136*T1^6*T2^12 - 508*T1^7*T2^12 + 1016*T1^8*T2^12 - 
      1252*T1^9*T2^12 + 1016*T1^10*T2^12 - 508*T1^11*T2^12 + 
      136*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 377] -> {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (-4 + 32*T1 - 104*T1^2 + 192*T1^3 - 236*T1^4 + 192*T1^5 - 104*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 640*T1^2*T2 - 912*T1^3*T2 + 
     736*T1^4*T2 - 120*T1^5*T2 - 320*T1^6*T2 + 368*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 104*T2^2 + 640*T1*T2^2 - 1226*T1^2*T2^2 + 444*T1^3*T2^2 + 
     1670*T1^4*T2^2 - 3766*T1^5*T2^2 + 3386*T1^6*T2^2 - 1636*T1^7*T2^2 + 
     74*T1^8*T2^2 + 224*T1^9*T2^2 - 52*T1^10*T2^2 + 192*T2^3 - 912*T1*T2^3 + 
     444*T1^2*T2^3 + 3624*T1^3*T2^3 - 8043*T1^4*T2^3 + 8800*T1^5*T2^3 - 
     2800*T1^6*T2^3 - 2299*T1^7*T2^3 + 3608*T1^8*T2^3 - 1428*T1^9*T2^3 + 
     32*T1^10*T2^3 + 48*T1^11*T2^3 - 236*T2^4 + 736*T1*T2^4 + 
     1670*T1^2*T2^4 - 8043*T1^3*T2^4 + 9266*T1^4*T2^4 - 2102*T1^5*T2^4 - 
     11524*T1^6*T2^4 + 13802*T1^7*T2^4 - 7766*T1^8*T2^4 - 171*T1^9*T2^4 + 
     1662*T1^10*T2^4 - 384*T1^11*T2^4 + 192*T2^5 - 120*T1*T2^5 - 
     3766*T1^2*T2^5 + 8800*T1^3*T2^5 - 2102*T1^4*T2^5 - 12100*T1^5*T2^5 + 
     24162*T1^6*T2^5 - 12750*T1^7*T2^5 - 2860*T1^8*T2^5 + 10690*T1^9*T2^5 - 
     5264*T1^10*T2^5 + 74*T1^11*T2^5 + 384*T1^12*T2^5 - 48*T1^13*T2^5 - 
     104*T2^6 - 320*T1*T2^6 + 3386*T1^2*T2^6 - 2800*T1^3*T2^6 - 
     11524*T1^4*T2^6 + 24162*T1^5*T2^6 - 22086*T1^6*T2^6 - 5686*T1^7*T2^6 + 
     21618*T1^8*T2^6 - 16958*T1^9*T2^6 + 652*T1^10*T2^6 + 5104*T1^11*T2^6 - 
     1778*T1^12*T2^6 - 32*T1^13*T2^6 + 52*T1^14*T2^6 + 32*T2^7 + 
     368*T1*T2^7 - 1636*T1^2*T2^7 - 2299*T1^3*T2^7 + 13802*T1^4*T2^7 - 
     12750*T1^5*T2^7 - 5686*T1^6*T2^7 + 32532*T1^7*T2^7 - 28292*T1^8*T2^7 + 
     2538*T1^9*T2^7 + 15746*T1^10*T2^7 - 11438*T1^11*T2^7 + 469*T1^12*T2^7 + 
     1484*T1^13*T2^7 - 224*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 74*T1^2*T2^8 + 3608*T1^3*T2^8 - 7766*T1^4*T2^8 - 
     2860*T1^5*T2^8 + 21618*T1^6*T2^8 - 28292*T1^7*T2^8 + 3504*T1^8*T2^8 + 
     25148*T1^9*T2^8 - 24094*T1^10*T2^8 + 4820*T1^11*T2^8 + 7714*T1^12*T2^8 - 
     3816*T1^13*T2^8 - 86*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 224*T1^2*T2^9 - 1428*T1^3*T2^9 - 171*T1^4*T2^9 + 
     10690*T1^5*T2^9 - 16958*T1^6*T2^9 + 2538*T1^7*T2^9 + 25148*T1^8*T2^9 - 
     35676*T1^9*T2^9 + 10762*T1^10*T2^9 + 11538*T1^11*T2^9 - 
     14550*T1^12*T2^9 + 2597*T1^13*T2^9 + 1692*T1^14*T2^9 - 368*T1^15*T2^9 - 
     32*T1^16*T2^9 - 52*T1^2*T2^10 + 32*T1^3*T2^10 + 1662*T1^4*T2^10 - 
     5264*T1^5*T2^10 + 652*T1^6*T2^10 + 15746*T1^7*T2^10 - 24094*T1^8*T2^10 + 
     10762*T1^9*T2^10 + 19610*T1^10*T2^10 - 25374*T1^11*T2^10 + 
     12828*T1^12*T2^10 + 2640*T1^13*T2^10 - 3502*T1^14*T2^10 + 
     320*T1^15*T2^10 + 104*T1^16*T2^10 + 48*T1^3*T2^11 - 384*T1^4*T2^11 + 
     74*T1^5*T2^11 + 5104*T1^6*T2^11 - 11438*T1^7*T2^11 + 4820*T1^8*T2^11 + 
     11538*T1^9*T2^11 - 25374*T1^10*T2^11 + 14060*T1^11*T2^11 + 
     1354*T1^12*T2^11 - 8960*T1^13*T2^11 + 3914*T1^14*T2^11 + 
     120*T1^15*T2^11 - 192*T1^16*T2^11 + 384*T1^5*T2^12 - 1778*T1^6*T2^12 + 
     469*T1^7*T2^12 + 7714*T1^8*T2^12 - 14550*T1^9*T2^12 + 
     12828*T1^10*T2^12 + 1354*T1^11*T2^12 - 9318*T1^12*T2^12 + 
     8341*T1^13*T2^12 - 1786*T1^14*T2^12 - 736*T1^15*T2^12 + 
     236*T1^16*T2^12 - 48*T1^5*T2^13 - 32*T1^6*T2^13 + 1484*T1^7*T2^13 - 
     3816*T1^8*T2^13 + 2597*T1^9*T2^13 + 2640*T1^10*T2^13 - 
     8960*T1^11*T2^13 + 8341*T1^12*T2^13 - 3832*T1^13*T2^13 - 
     388*T1^14*T2^13 + 912*T1^15*T2^13 - 192*T1^16*T2^13 + 52*T1^6*T2^14 - 
     224*T1^7*T2^14 - 86*T1^8*T2^14 + 1692*T1^9*T2^14 - 3502*T1^10*T2^14 + 
     3914*T1^11*T2^14 - 1786*T1^12*T2^14 - 388*T1^13*T2^14 + 
     1214*T1^14*T2^14 - 640*T1^15*T2^14 + 104*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 368*T1^9*T2^15 + 320*T1^10*T2^15 + 120*T1^11*T2^15 - 
     736*T1^12*T2^15 + 912*T1^13*T2^15 - 640*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 104*T1^10*T2^16 - 
     192*T1^11*T2^16 + 236*T1^12*T2^16 - 192*T1^13*T2^16 + 104*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 378] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-31 + 185*T1 - 461*T1^2 + 599*T1^3 - 461*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 966*T1*T2 + 1932*T1^2*T2 - 1542*T1^3*T2 + 114*T1^4*T2 + 
     924*T1^5*T2 - 630*T1^6*T2 + 137*T1^7*T2 - 461*T2^2 + 1932*T1*T2^2 - 
     2218*T1^2*T2^2 - 1836*T1^3*T2^2 + 5556*T1^4*T2^2 - 5076*T1^5*T2^2 + 
     1142*T1^6*T2^2 + 492*T1^7*T2^2 - 221*T1^8*T2^2 + 599*T2^3 - 
     1542*T1*T2^3 - 1836*T1^2*T2^3 + 10740*T1^3*T2^3 - 11646*T1^4*T2^3 + 
     3366*T1^5*T2^3 + 5214*T1^6*T2^3 - 3816*T1^7*T2^3 + 546*T1^8*T2^3 + 
     131*T1^9*T2^3 - 461*T2^4 + 114*T1*T2^4 + 5556*T1^2*T2^4 - 
     11646*T1^3*T2^4 + 1007*T1^4*T2^4 + 14373*T1^5*T2^4 - 17545*T1^6*T2^4 + 
     5202*T1^7*T2^4 + 1524*T1^8*T2^4 - 894*T1^9*T2^4 + 19*T1^10*T2^4 + 
     185*T2^5 + 924*T1*T2^5 - 5076*T1^2*T2^5 + 3366*T1^3*T2^5 + 
     14373*T1^4*T2^5 - 24126*T1^5*T2^5 + 12924*T1^6*T2^5 + 5913*T1^7*T2^5 - 
     7974*T1^8*T2^5 + 1944*T1^9*T2^5 + 204*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 630*T1*T2^6 + 1142*T1^2*T2^6 + 5214*T1^3*T2^6 - 
     17545*T1^4*T2^6 + 12924*T1^5*T2^6 + 7764*T1^6*T2^6 - 19836*T1^7*T2^6 + 
     11111*T1^8*T2^6 - 42*T1^9*T2^6 - 1450*T1^10*T2^6 + 234*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 492*T1^2*T2^7 - 3816*T1^3*T2^7 + 
     5202*T1^4*T2^7 + 5913*T1^5*T2^7 - 19836*T1^6*T2^7 + 17214*T1^7*T2^7 - 
     2547*T1^8*T2^7 - 6138*T1^9*T2^7 + 3204*T1^10*T2^7 - 228*T1^11*T2^7 - 
     103*T1^12*T2^7 - 221*T1^2*T2^8 + 546*T1^3*T2^8 + 1524*T1^4*T2^8 - 
     7974*T1^5*T2^8 + 11111*T1^6*T2^8 - 2547*T1^7*T2^8 - 7441*T1^8*T2^8 + 
     8874*T1^9*T2^8 - 2508*T1^10*T2^8 - 462*T1^11*T2^8 + 259*T1^12*T2^8 + 
     131*T1^3*T2^9 - 894*T1^4*T2^9 + 1944*T1^5*T2^9 - 42*T1^6*T2^9 - 
     6138*T1^7*T2^9 + 8874*T1^8*T2^9 - 5568*T1^9*T2^9 - 36*T1^10*T2^9 + 
     1194*T1^11*T2^9 - 337*T1^12*T2^9 + 19*T1^4*T2^10 + 204*T1^5*T2^10 - 
     1450*T1^6*T2^10 + 3204*T1^7*T2^10 - 2508*T1^8*T2^10 - 36*T1^9*T2^10 + 
     1910*T1^10*T2^10 - 1236*T1^11*T2^10 + 259*T1^12*T2^10 - 55*T1^5*T2^11 + 
     234*T1^6*T2^11 - 228*T1^7*T2^11 - 462*T1^8*T2^11 + 1194*T1^9*T2^11 - 
     1236*T1^10*T2^11 + 570*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 259*T1^8*T2^12 - 337*T1^9*T2^12 + 259*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 379] -> 
  {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-45 + 135*T1 - 225*T1^2 + 257*T1^3 - 225*T1^4 + 135*T1^5 - 45*T1^6 + 
     135*T2 - 351*T1*T2 + 513*T1^2*T2 - 501*T1^3*T2 + 363*T1^4*T2 - 
     135*T1^5*T2 - 27*T1^6*T2 + 54*T1^7*T2 - 225*T2^2 + 513*T1*T2^2 - 
     594*T1^2*T2^2 + 376*T1^3*T2^2 - 36*T1^4*T2^2 - 344*T1^5*T2^2 + 
     486*T1^6*T2^2 - 297*T1^7*T2^2 + 45*T1^8*T2^2 + 257*T2^3 - 501*T1*T2^3 + 
     376*T1^2*T2^3 - 46*T1^3*T2^3 - 236*T1^4*T2^3 + 412*T1^5*T2^3 - 
     226*T1^6*T2^3 - 299*T1^7*T2^3 + 471*T1^8*T2^3 - 202*T1^9*T2^3 - 
     225*T2^4 + 363*T1*T2^4 - 36*T1^2*T2^4 - 236*T1^3*T2^4 + 393*T1^4*T2^4 - 
     397*T1^5*T2^4 + 105*T1^6*T2^4 + 376*T1^7*T2^4 - 90*T1^8*T2^4 - 
     339*T1^9*T2^4 + 315*T1^10*T2^4 + 135*T2^5 - 135*T1*T2^5 - 
     344*T1^2*T2^5 + 412*T1^3*T2^5 - 397*T1^4*T2^5 + 131*T1^5*T2^5 + 
     191*T1^6*T2^5 - 442*T1^7*T2^5 - 308*T1^8*T2^5 + 511*T1^9*T2^5 - 
     135*T1^10*T2^5 - 270*T1^11*T2^5 - 45*T2^6 - 27*T1*T2^6 + 486*T1^2*T2^6 - 
     226*T1^3*T2^6 + 105*T1^4*T2^6 + 191*T1^5*T2^6 - 108*T1^6*T2^6 - 
     7*T1^7*T2^6 + 807*T1^8*T2^6 - 334*T1^9*T2^6 - 270*T1^10*T2^6 + 
     459*T1^11*T2^6 + 117*T1^12*T2^6 + 54*T1*T2^7 - 297*T1^2*T2^7 - 
     299*T1^3*T2^7 + 376*T1^4*T2^7 - 442*T1^5*T2^7 - 7*T1^6*T2^7 + 
     53*T1^7*T2^7 - 487*T1^8*T2^7 - 344*T1^9*T2^7 + 556*T1^10*T2^7 - 
     297*T1^11*T2^7 - 351*T1^12*T2^7 + 45*T1^2*T2^8 + 471*T1^3*T2^8 - 
     90*T1^4*T2^8 - 308*T1^5*T2^8 + 807*T1^6*T2^8 - 487*T1^7*T2^8 + 
     519*T1^8*T2^8 + 304*T1^9*T2^8 - 144*T1^10*T2^8 - 231*T1^11*T2^8 + 
     585*T1^12*T2^8 - 202*T1^3*T2^9 - 339*T1^4*T2^9 + 511*T1^5*T2^9 - 
     334*T1^6*T2^9 - 344*T1^7*T2^9 + 304*T1^8*T2^9 - 514*T1^9*T2^9 - 
     164*T1^10*T2^9 + 633*T1^11*T2^9 - 661*T1^12*T2^9 + 315*T1^4*T2^10 - 
     135*T1^5*T2^10 - 270*T1^6*T2^10 + 556*T1^7*T2^10 - 144*T1^8*T2^10 - 
     164*T1^9*T2^10 + 810*T1^10*T2^10 - 945*T1^11*T2^10 + 585*T1^12*T2^10 - 
     270*T1^5*T2^11 + 459*T1^6*T2^11 - 297*T1^7*T2^11 - 231*T1^8*T2^11 + 
     633*T1^9*T2^11 - 945*T1^10*T2^11 + 783*T1^11*T2^11 - 351*T1^12*T2^11 + 
     117*T1^6*T2^12 - 351*T1^7*T2^12 + 585*T1^8*T2^12 - 661*T1^9*T2^12 + 
     585*T1^10*T2^12 - 351*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 380] -> 
  {((2 - 3*T + 2*T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (-333 + 1051*T1 - 1479*T1^2 + 1051*T1^3 - 333*T1^4 + 1051*T2 - 
     2948*T1*T2 + 3514*T1^2*T2 - 1730*T1^3*T2 - 98*T1^4*T2 + 367*T1^5*T2 - 
     1479*T2^2 + 3514*T1*T2^2 - 2288*T1^2*T2^2 - 2164*T1^3*T2^2 + 
     4516*T1^4*T2^2 - 2642*T1^5*T2^2 + 465*T1^6*T2^2 + 1051*T2^3 - 
     1730*T1*T2^3 - 2164*T1^2*T2^3 + 7601*T1^3*T2^3 - 7447*T1^4*T2^3 + 
     1427*T1^5*T2^3 + 1690*T1^6*T2^3 - 1001*T1^7*T2^3 - 333*T2^4 - 
     98*T1*T2^4 + 4516*T1^2*T2^4 - 7447*T1^3*T2^4 + 3168*T1^4*T2^4 + 
     4979*T1^5*T2^4 - 5314*T1^6*T2^4 + 1498*T1^7*T2^4 + 531*T1^8*T2^4 + 
     367*T1*T2^5 - 2642*T1^2*T2^5 + 1427*T1^3*T2^5 + 4979*T1^4*T2^5 - 
     10069*T1^5*T2^5 + 5018*T1^6*T2^5 + 778*T1^7*T2^5 - 1685*T1^8*T2^5 + 
     465*T1^2*T2^6 + 1690*T1^3*T2^6 - 5314*T1^4*T2^6 + 5018*T1^5*T2^6 + 
     1490*T1^6*T2^6 - 4466*T1^7*T2^6 + 2409*T1^8*T2^6 - 1001*T1^3*T2^7 + 
     1498*T1^4*T2^7 + 778*T1^5*T2^7 - 4466*T1^6*T2^7 + 4348*T1^7*T2^7 - 
     1685*T1^8*T2^7 + 531*T1^4*T2^8 - 1685*T1^5*T2^8 + 2409*T1^6*T2^8 - 
     1685*T1^7*T2^8 + 531*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 381] -> 
  {((1 - 3*T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3, 
   (-111 + 631*T1 - 1334*T1^2 + 1589*T1^3 - 1334*T1^4 + 631*T1^5 - 111*T1^6 + 
     631*T2 - 3111*T1*T2 + 4870*T1^2*T2 - 3291*T1^3*T2 + 738*T1^4*T2 + 
     2167*T1^5*T2 - 2091*T1^6*T2 + 478*T1^7*T2 - 1334*T2^2 + 4870*T1*T2^2 - 
     1239*T1^2*T2^2 - 9808*T1^3*T2^2 + 14869*T1^4*T2^2 - 15424*T1^5*T2^2 + 
     5889*T1^6*T2^2 + 1198*T1^7*T2^2 - 686*T1^8*T2^2 + 1589*T2^3 - 
     3291*T1*T2^3 - 9808*T1^2*T2^3 + 25079*T1^3*T2^3 - 19099*T1^4*T2^3 + 
     8738*T1^5*T2^3 + 10445*T1^6*T2^3 - 11500*T1^7*T2^3 + 1452*T1^8*T2^3 + 
     428*T1^9*T2^3 - 1334*T2^4 + 738*T1*T2^4 + 14869*T1^2*T2^4 - 
     19099*T1^3*T2^4 - 4983*T1^4*T2^4 + 18361*T1^5*T2^4 - 28739*T1^6*T2^4 + 
     10571*T1^7*T2^4 + 5567*T1^8*T2^4 - 2220*T1^9*T2^4 - 38*T1^10*T2^4 + 
     631*T2^5 + 2167*T1*T2^5 - 15424*T1^2*T2^5 + 8738*T1^3*T2^5 + 
     18361*T1^4*T2^5 - 18383*T1^5*T2^5 + 11701*T1^6*T2^5 + 11593*T1^7*T2^5 - 
     15433*T1^8*T2^5 + 1964*T1^9*T2^5 + 994*T1^10*T2^5 - 134*T1^11*T2^5 - 
     111*T2^6 - 2091*T1*T2^6 + 5889*T1^2*T2^6 + 10445*T1^3*T2^6 - 
     28739*T1^4*T2^6 + 11701*T1^5*T2^6 + 5172*T1^6*T2^6 - 18461*T1^7*T2^6 + 
     9033*T1^8*T2^6 + 5675*T1^9*T2^6 - 4043*T1^10*T2^6 + 459*T1^11*T2^6 + 
     51*T1^12*T2^6 + 478*T1*T2^7 + 1198*T1^2*T2^7 - 11500*T1^3*T2^7 + 
     10571*T1^4*T2^7 + 11593*T1^5*T2^7 - 18461*T1^6*T2^7 + 11623*T1^7*T2^7 + 
     4825*T1^8*T2^7 - 13600*T1^9*T2^7 + 5888*T1^10*T2^7 + 25*T1^11*T2^7 - 
     287*T1^12*T2^7 - 686*T1^2*T2^8 + 1452*T1^3*T2^8 + 5567*T1^4*T2^8 - 
     15433*T1^5*T2^8 + 9033*T1^6*T2^8 + 4825*T1^7*T2^8 - 14723*T1^8*T2^8 + 
     14237*T1^9*T2^8 - 3735*T1^10*T2^8 - 1506*T1^11*T2^8 + 610*T1^12*T2^8 + 
     428*T1^3*T2^9 - 2220*T1^4*T2^9 + 1964*T1^5*T2^9 + 5675*T1^6*T2^9 - 
     13600*T1^7*T2^9 + 14237*T1^8*T2^9 - 8959*T1^9*T2^9 + 272*T1^10*T2^9 + 
     2523*T1^11*T2^9 - 733*T1^12*T2^9 - 38*T1^4*T2^10 + 994*T1^5*T2^10 - 
     4043*T1^6*T2^10 + 5888*T1^7*T2^10 - 3735*T1^8*T2^10 + 272*T1^9*T2^10 + 
     3085*T1^10*T2^10 - 2678*T1^11*T2^10 + 610*T1^12*T2^10 - 134*T1^5*T2^11 + 
     459*T1^6*T2^11 + 25*T1^7*T2^11 - 1506*T1^8*T2^11 + 2523*T1^9*T2^11 - 
     2678*T1^10*T2^11 + 1479*T1^11*T2^11 - 287*T1^12*T2^11 + 51*T1^6*T2^12 - 
     287*T1^7*T2^12 + 610*T1^8*T2^12 - 733*T1^9*T2^12 + 610*T1^10*T2^12 - 
     287*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 382] -> 
  {((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 52*T1^3 - 58*T1^4 + 52*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 238*T1^3*T2 + 224*T1^4*T2 - 
     161*T1^5*T2 + 70*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 300*T1^2*T2^2 + 37*T1^3*T2^2 + 255*T1^4*T2^2 - 
     516*T1^5*T2^2 + 651*T1^6*T2^2 - 647*T1^7*T2^2 + 312*T1^8*T2^2 - 
     49*T1^9*T2^2 + 52*T2^3 - 238*T1*T2^3 + 37*T1^2*T2^3 + 912*T1^3*T2^3 - 
     1566*T1^4*T2^3 + 1836*T1^5*T2^3 - 1662*T1^6*T2^3 + 1170*T1^7*T2^3 - 
     132*T1^8*T2^3 - 359*T1^9*T2^3 + 182*T1^10*T2^3 - 26*T1^11*T2^3 - 
     58*T2^4 + 224*T1*T2^4 + 255*T1^2*T2^4 - 1566*T1^3*T2^4 + 
     1814*T1^4*T2^4 - 1245*T1^5*T2^4 + 382*T1^6*T2^4 + 555*T1^7*T2^4 - 
     1854*T1^8*T2^4 + 1606*T1^9*T2^4 - 205*T1^10*T2^4 - 224*T1^11*T2^4 + 
     58*T1^12*T2^4 + 52*T2^5 - 161*T1*T2^5 - 516*T1^2*T2^5 + 1836*T1^3*T2^5 - 
     1245*T1^4*T2^5 - 107*T1^5*T2^5 + 790*T1^6*T2^5 - 1404*T1^7*T2^5 + 
     2071*T1^8*T2^5 - 272*T1^9*T2^5 - 2002*T1^10*T2^5 + 939*T1^11*T2^5 + 
     140*T1^12*T2^5 - 78*T1^13*T2^5 - 36*T2^6 + 70*T1*T2^6 + 651*T1^2*T2^6 - 
     1662*T1^3*T2^6 + 382*T1^4*T2^6 + 790*T1^5*T2^6 - 261*T1^6*T2^6 + 
     637*T1^7*T2^6 - 773*T1^8*T2^6 - 1470*T1^9*T2^6 + 2334*T1^10*T2^6 + 
     1326*T1^11*T2^6 - 1457*T1^12*T2^6 + 42*T1^13*T2^6 + 72*T1^14*T2^6 + 
     14*T2^7 + 28*T1*T2^7 - 647*T1^2*T2^7 + 1170*T1^3*T2^7 + 555*T1^4*T2^7 - 
     1404*T1^5*T2^7 + 637*T1^6*T2^7 - 2429*T1^7*T2^7 + 2519*T1^8*T2^7 - 
     603*T1^9*T2^7 + 658*T1^10*T2^7 - 3726*T1^11*T2^7 + 178*T1^12*T2^7 + 
     1477*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     312*T1^2*T2^8 - 132*T1^3*T2^8 - 1854*T1^4*T2^8 + 2071*T1^5*T2^8 - 
     773*T1^6*T2^8 + 2519*T1^7*T2^8 - 180*T1^8*T2^8 - 2291*T1^9*T2^8 + 
     2327*T1^10*T2^8 - 323*T1^11*T2^8 + 4598*T1^12*T2^8 - 2768*T1^13*T2^8 - 
     306*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 359*T1^3*T2^9 + 1606*T1^4*T2^9 - 272*T1^5*T2^9 - 
     1470*T1^6*T2^9 - 603*T1^7*T2^9 - 2291*T1^8*T2^9 + 2657*T1^9*T2^9 - 
     1843*T1^10*T2^9 + 592*T1^11*T2^9 - 4553*T1^12*T2^9 + 614*T1^13*T2^9 + 
     1765*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 182*T1^3*T2^10 - 
     205*T1^4*T2^10 - 2002*T1^5*T2^10 + 2334*T1^6*T2^10 + 658*T1^7*T2^10 + 
     2327*T1^8*T2^10 - 1843*T1^9*T2^10 + 1815*T1^10*T2^10 - 
     1602*T1^11*T2^10 + 4286*T1^12*T2^10 + 986*T1^13*T2^10 - 
     2313*T1^14*T2^10 + 154*T1^15*T2^10 + 108*T1^16*T2^10 - 26*T1^3*T2^11 - 
     224*T1^4*T2^11 + 939*T1^5*T2^11 + 1326*T1^6*T2^11 - 3726*T1^7*T2^11 - 
     323*T1^8*T2^11 + 592*T1^9*T2^11 - 1602*T1^10*T2^11 + 1855*T1^11*T2^11 - 
     2753*T1^12*T2^11 - 2512*T1^13*T2^11 + 2394*T1^14*T2^11 + 
     77*T1^15*T2^11 - 156*T1^16*T2^11 + 58*T1^4*T2^12 + 140*T1^5*T2^12 - 
     1457*T1^6*T2^12 + 178*T1^7*T2^12 + 4598*T1^8*T2^12 - 4553*T1^9*T2^12 + 
     4286*T1^10*T2^12 - 2753*T1^11*T2^12 + 930*T1^12*T2^12 + 
     3350*T1^13*T2^12 - 1917*T1^14*T2^12 - 308*T1^15*T2^12 + 
     174*T1^16*T2^12 - 78*T1^5*T2^13 + 42*T1^6*T2^13 + 1477*T1^7*T2^13 - 
     2768*T1^8*T2^13 + 614*T1^9*T2^13 + 986*T1^10*T2^13 - 2512*T1^11*T2^13 + 
     3350*T1^12*T2^13 - 3812*T1^13*T2^13 + 1081*T1^14*T2^13 + 
     462*T1^15*T2^13 - 156*T1^16*T2^13 + 72*T1^6*T2^14 - 259*T1^7*T2^14 - 
     306*T1^8*T2^14 + 1765*T1^9*T2^14 - 2313*T1^10*T2^14 + 2394*T1^11*T2^14 - 
     1917*T1^12*T2^14 + 1081*T1^13*T2^14 + 306*T1^14*T2^14 - 
     511*T1^15*T2^14 + 108*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 
     336*T1^9*T2^15 + 154*T1^10*T2^15 + 77*T1^11*T2^15 - 308*T1^12*T2^15 + 
     462*T1^13*T2^15 - 511*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 
     6*T1^8*T2^16 - 42*T1^9*T2^16 + 108*T1^10*T2^16 - 156*T1^11*T2^16 + 
     174*T1^12*T2^16 - 156*T1^13*T2^16 + 108*T1^14*T2^16 - 42*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 383] -> 
  {-((1 - 7*T + 20*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 20*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 60*T1^2 + 102*T1^3 - 117*T1^4 + 102*T1^5 - 
      60*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 
      434*T1^3*T2 + 343*T1^4*T2 - 168*T1^5*T2 - 56*T1^6*T2 + 133*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 
      201*T1^3*T2^2 + 623*T1^4*T2^2 - 1133*T1^5*T2^2 + 1383*T1^6*T2^2 - 
      879*T1^7*T2^2 + 231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 
      102*T2^3 - 434*T1*T2^3 + 201*T1^2*T2^3 + 1196*T1^3*T2^3 - 
      2760*T1^4*T2^3 + 2670*T1^5*T2^3 - 2042*T1^6*T2^3 + 108*T1^7*T2^3 + 
      986*T1^8*T2^3 - 719*T1^9*T2^3 + 140*T1^10*T2^3 - 117*T2^4 + 
      343*T1*T2^4 + 623*T1^2*T2^4 - 2760*T1^3*T2^4 + 3607*T1^4*T2^4 - 
      1330*T1^5*T2^4 - 601*T1^6*T2^4 + 3502*T1^7*T2^4 - 3317*T1^8*T2^4 + 
      980*T1^9*T2^4 + 411*T1^10*T2^4 - 273*T1^11*T2^4 + 39*T1^12*T2^4 + 
      102*T2^5 - 168*T1*T2^5 - 1133*T1^2*T2^5 + 2670*T1^3*T2^5 - 
      1330*T1^4*T2^5 - 2891*T1^5*T2^5 + 4322*T1^6*T2^5 - 5682*T1^7*T2^5 + 
      2105*T1^8*T2^5 + 2345*T1^9*T2^5 - 2490*T1^10*T2^5 + 520*T1^11*T2^5 + 
      203*T1^12*T2^5 - 68*T1^13*T2^5 - 60*T2^6 - 56*T1*T2^6 + 
      1383*T1^2*T2^6 - 2042*T1^3*T2^6 - 601*T1^4*T2^6 + 4322*T1^5*T2^6 - 
      3477*T1^6*T2^6 + 2507*T1^7*T2^6 + 2739*T1^8*T2^6 - 5702*T1^9*T2^6 + 
      1351*T1^10*T2^6 + 1998*T1^11*T2^6 - 1321*T1^12*T2^6 + 56*T1^13*T2^6 + 
      60*T1^14*T2^6 + 21*T2^7 + 133*T1*T2^7 - 879*T1^2*T2^7 + 108*T1^3*T2^7 + 
      3502*T1^4*T2^7 - 5682*T1^5*T2^7 + 2507*T1^6*T2^7 + 487*T1^7*T2^7 - 
      4659*T1^8*T2^7 + 3791*T1^9*T2^7 + 4282*T1^10*T2^7 - 4801*T1^11*T2^7 + 
      728*T1^12*T2^7 + 1001*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 
      3*T2^8 - 77*T1*T2^8 + 231*T1^2*T2^8 + 986*T1^3*T2^8 - 3317*T1^4*T2^8 + 
      2105*T1^5*T2^8 + 2739*T1^6*T2^8 - 4659*T1^7*T2^8 + 3120*T1^8*T2^8 + 
      1599*T1^9*T2^8 - 8721*T1^10*T2^8 + 2827*T1^11*T2^8 + 2815*T1^12*T2^8 - 
      2294*T1^13*T2^8 - 67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 719*T1^3*T2^9 + 980*T1^4*T2^9 + 
      2345*T1^5*T2^9 - 5702*T1^6*T2^9 + 3791*T1^7*T2^9 + 1599*T1^8*T2^9 - 
      3547*T1^9*T2^9 + 5075*T1^10*T2^9 + 4262*T1^11*T2^9 - 5958*T1^12*T2^9 + 
      1600*T1^13*T2^9 + 1161*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 
      20*T1^2*T2^10 + 140*T1^3*T2^10 + 411*T1^4*T2^10 - 2490*T1^5*T2^10 + 
      1351*T1^6*T2^10 + 4282*T1^7*T2^10 - 8721*T1^8*T2^10 + 5075*T1^9*T2^10 - 
      2505*T1^10*T2^10 - 5742*T1^11*T2^10 + 3303*T1^12*T2^10 + 
      1550*T1^13*T2^10 - 2293*T1^14*T2^10 + 252*T1^15*T2^10 + 
      100*T1^16*T2^10 - 273*T1^4*T2^11 + 520*T1^5*T2^11 + 1998*T1^6*T2^11 - 
      4801*T1^7*T2^11 + 2827*T1^8*T2^11 + 4262*T1^9*T2^11 - 
      5742*T1^10*T2^11 + 7823*T1^11*T2^11 - 1126*T1^12*T2^11 - 
      3162*T1^13*T2^11 + 2173*T1^14*T2^11 + 98*T1^15*T2^11 - 
      170*T1^16*T2^11 + 39*T1^4*T2^12 + 203*T1^5*T2^12 - 1321*T1^6*T2^12 + 
      728*T1^7*T2^12 + 2815*T1^8*T2^12 - 5958*T1^9*T2^12 + 3303*T1^10*T2^12 - 
      1126*T1^11*T2^12 - 4109*T1^12*T2^12 + 4468*T1^13*T2^12 - 
      1533*T1^14*T2^12 - 413*T1^15*T2^12 + 195*T1^16*T2^12 - 68*T1^5*T2^13 + 
      56*T1^6*T2^13 + 1001*T1^7*T2^13 - 2294*T1^8*T2^13 + 1600*T1^9*T2^13 + 
      1550*T1^10*T2^13 - 3162*T1^11*T2^13 + 4468*T1^12*T2^13 - 
      2504*T1^13*T2^13 + 81*T1^14*T2^13 + 630*T1^15*T2^13 - 170*T1^16*T2^13 + 
      60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 1161*T1^9*T2^14 - 
      2293*T1^10*T2^14 + 2173*T1^11*T2^14 - 1533*T1^12*T2^14 + 
      81*T1^13*T2^14 + 693*T1^14*T2^14 - 504*T1^15*T2^14 + 100*T1^16*T2^14 - 
      28*T1^7*T2^15 + 161*T1^8*T2^15 - 315*T1^9*T2^15 + 252*T1^10*T2^15 + 
      98*T1^11*T2^15 - 413*T1^12*T2^15 + 630*T1^13*T2^15 - 504*T1^14*T2^15 + 
      217*T1^15*T2^15 - 35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 
      100*T1^10*T2^16 - 170*T1^11*T2^16 + 195*T1^12*T2^16 - 170*T1^13*T2^16 + 
      100*T1^14*T2^16 - 35*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 384] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-15 + 105*T1 - 271*T1^2 + 355*T1^3 - 271*T1^4 + 105*T1^5 - 15*T1^6 + 
     105*T2 - 686*T1*T2 + 1554*T1^2*T2 - 1596*T1^3*T2 + 728*T1^4*T2 + 
     154*T1^5*T2 - 238*T1^6*T2 + 49*T1^7*T2 - 271*T2^2 + 1554*T1*T2^2 - 
     2459*T1^2*T2^2 + 9*T1^3*T2^2 + 3649*T1^4*T2^2 - 4743*T1^5*T2^2 + 
     2437*T1^6*T2^2 - 462*T1^7*T2^2 + 17*T1^8*T2^2 + 355*T2^3 - 
     1596*T1*T2^3 + 9*T1^2*T2^3 + 8458*T1^3*T2^3 - 15326*T1^4*T2^3 + 
     12406*T1^5*T2^3 - 2924*T1^6*T2^3 - 2079*T1^7*T2^3 + 1344*T1^8*T2^3 - 
     209*T1^9*T2^3 - 271*T2^4 + 728*T1*T2^4 + 3649*T1^2*T2^4 - 
     15326*T1^3*T2^4 + 17826*T1^4*T2^4 - 1784*T1^5*T2^4 - 15810*T1^6*T2^4 + 
     15882*T1^7*T2^4 - 4407*T1^8*T2^4 - 672*T1^9*T2^4 + 305*T1^10*T2^4 + 
     105*T2^5 + 154*T1*T2^5 - 4743*T1^2*T2^5 + 12406*T1^3*T2^5 - 
     1784*T1^4*T2^5 - 28254*T1^5*T2^5 + 38822*T1^6*T2^5 - 17336*T1^7*T2^5 - 
     8374*T1^8*T2^5 + 8001*T1^9*T2^5 - 910*T1^10*T2^5 - 175*T1^11*T2^5 - 
     15*T2^6 - 238*T1*T2^6 + 2437*T1^2*T2^6 - 2924*T1^3*T2^6 - 
     15810*T1^4*T2^6 + 38822*T1^5*T2^6 - 19740*T1^6*T2^6 - 20394*T1^7*T2^6 + 
     36334*T1^8*T2^6 - 12116*T1^9*T2^6 - 2491*T1^10*T2^6 + 994*T1^11*T2^6 + 
     33*T1^12*T2^6 + 49*T1*T2^7 - 462*T1^2*T2^7 - 2079*T1^3*T2^7 + 
     15882*T1^4*T2^7 - 17336*T1^5*T2^7 - 20394*T1^6*T2^7 + 46682*T1^7*T2^7 - 
     32888*T1^8*T2^7 - 4898*T1^9*T2^7 + 10665*T1^10*T2^7 - 1526*T1^11*T2^7 - 
     231*T1^12*T2^7 + 17*T1^2*T2^8 + 1344*T1^3*T2^8 - 4407*T1^4*T2^8 - 
     8374*T1^5*T2^8 + 36334*T1^6*T2^8 - 32888*T1^7*T2^8 + 2698*T1^8*T2^8 + 
     22834*T1^9*T2^8 - 12463*T1^10*T2^8 - 56*T1^11*T2^8 + 593*T1^12*T2^8 - 
     209*T1^3*T2^9 - 672*T1^4*T2^9 + 8001*T1^5*T2^9 - 12116*T1^6*T2^9 - 
     4898*T1^7*T2^9 + 22834*T1^8*T2^9 - 23498*T1^9*T2^9 + 5913*T1^10*T2^9 + 
     2268*T1^11*T2^9 - 773*T1^12*T2^9 + 305*T1^4*T2^10 - 910*T1^5*T2^10 - 
     2491*T1^6*T2^10 + 10665*T1^7*T2^10 - 12463*T1^8*T2^10 + 
     5913*T1^9*T2^10 + 2405*T1^10*T2^10 - 2926*T1^11*T2^10 + 
     593*T1^12*T2^10 - 175*T1^5*T2^11 + 994*T1^6*T2^11 - 1526*T1^7*T2^11 - 
     56*T1^8*T2^11 + 2268*T1^9*T2^11 - 2926*T1^10*T2^11 + 1442*T1^11*T2^11 - 
     231*T1^12*T2^11 + 33*T1^6*T2^12 - 231*T1^7*T2^12 + 593*T1^8*T2^12 - 
     773*T1^9*T2^12 + 593*T1^10*T2^12 - 231*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 385] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 161*T1 - 437*T1^2 + 609*T1^3 - 437*T1^4 + 161*T1^5 - 23*T1^6 + 
      161*T2 - 1022*T1*T2 + 2324*T1^2*T2 - 2268*T1^3*T2 + 280*T1^4*T2 + 
      868*T1^5*T2 - 574*T1^6*T2 + 105*T1^7*T2 - 437*T2^2 + 2324*T1*T2^2 - 
      3267*T1^2*T2^2 - 1561*T1^3*T2^2 + 8771*T1^4*T2^2 - 7489*T1^5*T2^2 + 
      2205*T1^6*T2^2 + 196*T1^7*T2^2 - 133*T1^8*T2^2 + 609*T2^3 - 
      2268*T1*T2^3 - 1561*T1^2*T2^3 + 15536*T1^3*T2^3 - 23546*T1^4*T2^3 + 
      8330*T1^5*T2^3 + 5362*T1^6*T2^3 - 5133*T1^7*T2^3 + 1120*T1^8*T2^3 - 
      27*T1^9*T2^3 - 437*T2^4 + 280*T1*T2^4 + 8771*T1^2*T2^4 - 
      23546*T1^3*T2^4 + 15509*T1^4*T2^4 + 20567*T1^5*T2^4 - 31423*T1^6*T2^4 + 
      13766*T1^7*T2^4 - 453*T1^8*T2^4 - 1008*T1^9*T2^4 + 171*T1^10*T2^4 + 
      161*T2^5 + 868*T1*T2^5 - 7489*T1^2*T2^5 + 8330*T1^3*T2^5 + 
      20567*T1^4*T2^5 - 58300*T1^5*T2^5 + 44222*T1^6*T2^5 - 1701*T1^7*T2^5 - 
      12674*T1^8*T2^5 + 5507*T1^9*T2^5 - 364*T1^10*T2^5 - 119*T1^11*T2^5 - 
      23*T2^6 - 574*T1*T2^6 + 2205*T1^2*T2^6 + 5362*T1^3*T2^6 - 
      31423*T1^4*T2^6 + 44222*T1^5*T2^6 - 5124*T1^6*T2^6 - 40522*T1^7*T2^6 + 
      31905*T1^8*T2^6 - 6550*T1^9*T2^6 - 2083*T1^10*T2^6 + 658*T1^11*T2^6 + 
      25*T1^12*T2^6 + 105*T1*T2^7 + 196*T1^2*T2^7 - 5133*T1^3*T2^7 + 
      13766*T1^4*T2^7 - 1701*T1^5*T2^7 - 40522*T1^6*T2^7 + 62000*T1^7*T2^7 - 
      23969*T1^8*T2^7 - 7238*T1^9*T2^7 + 7863*T1^10*T2^7 - 1036*T1^11*T2^7 - 
      175*T1^12*T2^7 - 133*T1^2*T2^8 + 1120*T1^3*T2^8 - 453*T1^4*T2^8 - 
      12674*T1^5*T2^8 + 31905*T1^6*T2^8 - 23969*T1^7*T2^8 - 15027*T1^8*T2^8 + 
      24638*T1^9*T2^8 - 9677*T1^10*T2^8 - 168*T1^11*T2^8 + 475*T1^12*T2^8 - 
      27*T1^3*T2^9 - 1008*T1^4*T2^9 + 5507*T1^5*T2^9 - 6550*T1^6*T2^9 - 
      7238*T1^7*T2^9 + 24638*T1^8*T2^9 - 16724*T1^9*T2^9 + 1935*T1^10*T2^9 + 
      2380*T1^11*T2^9 - 663*T1^12*T2^9 + 171*T1^4*T2^10 - 364*T1^5*T2^10 - 
      2083*T1^6*T2^10 + 7863*T1^7*T2^10 - 9677*T1^8*T2^10 + 1935*T1^9*T2^10 + 
      3389*T1^10*T2^10 - 2492*T1^11*T2^10 + 475*T1^12*T2^10 - 
      119*T1^5*T2^11 + 658*T1^6*T2^11 - 1036*T1^7*T2^11 - 168*T1^8*T2^11 + 
      2380*T1^9*T2^11 - 2492*T1^10*T2^11 + 1106*T1^11*T2^11 - 
      175*T1^12*T2^11 + 25*T1^6*T2^12 - 175*T1^7*T2^12 + 475*T1^8*T2^12 - 
      663*T1^9*T2^12 + 475*T1^10*T2^12 - 175*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 386] -> 
  {(1 - 8*T + 25*T^2 - 39*T^3 + 43*T^4 - 39*T^5 + 25*T^6 - 8*T^7 + T^8)/T^4, 
   (-2 + 16*T1 - 50*T1^2 + 78*T1^3 - 86*T1^4 + 78*T1^5 - 50*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 336*T1^2*T2 - 424*T1^3*T2 + 376*T1^4*T2 - 
     280*T1^5*T2 + 88*T1^6*T2 + 72*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     50*T2^2 + 336*T1*T2^2 - 739*T1^2*T2^2 + 354*T1^3*T2^2 + 334*T1^4*T2^2 - 
     785*T1^5*T2^2 + 1234*T1^6*T2^2 - 1196*T1^7*T2^2 + 461*T1^8*T2^2 - 
     64*T1^9*T2^2 + 78*T2^3 - 424*T1*T2^3 + 354*T1^2*T2^3 + 1915*T1^3*T2^3 - 
     4087*T1^4*T2^3 + 4548*T1^5*T2^3 - 4364*T1^6*T2^3 + 2746*T1^7*T2^3 - 
     5*T1^8*T2^3 - 771*T1^9*T2^3 + 312*T1^10*T2^3 - 39*T1^11*T2^3 - 86*T2^4 + 
     376*T1*T2^4 + 334*T1^2*T2^4 - 4087*T1^3*T2^4 + 5841*T1^4*T2^4 - 
     3062*T1^5*T2^4 + 413*T1^6*T2^4 + 2838*T1^7*T2^4 - 6279*T1^8*T2^4 + 
     4181*T1^9*T2^4 - 358*T1^10*T2^4 - 376*T1^11*T2^4 + 86*T1^12*T2^4 + 
     78*T2^5 - 280*T1*T2^5 - 785*T1^2*T2^5 + 4548*T1^3*T2^5 - 
     3062*T1^4*T2^5 - 5692*T1^5*T2^5 + 9224*T1^6*T2^5 - 11113*T1^7*T2^5 + 
     11876*T1^8*T2^5 - 2342*T1^9*T2^5 - 4872*T1^10*T2^5 + 1621*T1^11*T2^5 + 
     248*T1^12*T2^5 - 117*T1^13*T2^5 - 50*T2^6 + 88*T1*T2^6 + 
     1234*T1^2*T2^6 - 4364*T1^3*T2^6 + 413*T1^4*T2^6 + 9224*T1^5*T2^6 - 
     5668*T1^6*T2^6 + 3750*T1^7*T2^6 - 2056*T1^8*T2^6 - 10860*T1^9*T2^6 + 
     9791*T1^10*T2^6 + 3786*T1^11*T2^6 - 2850*T1^12*T2^6 + 136*T1^13*T2^6 + 
     100*T1^14*T2^6 + 16*T2^7 + 72*T1*T2^7 - 1196*T1^2*T2^7 + 
     2746*T1^3*T2^7 + 2838*T1^4*T2^7 - 11113*T1^5*T2^7 + 3750*T1^6*T2^7 - 
     7672*T1^7*T2^7 + 9518*T1^8*T2^7 + 503*T1^9*T2^7 + 9730*T1^10*T2^7 - 
     18602*T1^11*T2^7 + 1653*T1^12*T2^7 + 2479*T1^13*T2^7 - 480*T1^14*T2^7 - 
     40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 461*T1^2*T2^8 - 5*T1^3*T2^8 - 
     6279*T1^4*T2^8 + 11876*T1^5*T2^8 - 2056*T1^6*T2^8 + 9518*T1^7*T2^8 - 
     7536*T1^8*T2^8 - 4074*T1^9*T2^8 - 6134*T1^10*T2^8 + 3584*T1^11*T2^8 + 
     17253*T1^12*T2^8 - 7675*T1^13*T2^8 + 89*T1^14*T2^8 + 272*T1^15*T2^8 + 
     6*T1^16*T2^8 + 8*T1*T2^9 - 64*T1^2*T2^9 - 771*T1^3*T2^9 + 
     4181*T1^4*T2^9 - 2342*T1^5*T2^9 - 10860*T1^6*T2^9 + 503*T1^7*T2^9 - 
     4074*T1^8*T2^9 + 13116*T1^9*T2^9 - 2744*T1^10*T2^9 + 9983*T1^11*T2^9 - 
     23782*T1^12*T2^9 + 3088*T1^13*T2^9 + 2904*T1^14*T2^9 - 616*T1^15*T2^9 - 
     48*T1^16*T2^9 + 312*T1^3*T2^10 - 358*T1^4*T2^10 - 4872*T1^5*T2^10 + 
     9791*T1^6*T2^10 + 9730*T1^7*T2^10 - 6134*T1^8*T2^10 - 2744*T1^9*T2^10 - 
     2522*T1^10*T2^10 - 10354*T1^11*T2^10 + 19169*T1^12*T2^10 + 
     3278*T1^13*T2^10 - 4442*T1^14*T2^10 + 360*T1^15*T2^10 + 
     150*T1^16*T2^10 - 39*T1^3*T2^11 - 376*T1^4*T2^11 + 1621*T1^5*T2^11 + 
     3786*T1^6*T2^11 - 18602*T1^7*T2^11 + 3584*T1^8*T2^11 + 9983*T1^9*T2^11 - 
     10354*T1^10*T2^11 + 21152*T1^11*T2^11 - 17882*T1^12*T2^11 - 
     5634*T1^13*T2^11 + 4027*T1^14*T2^11 + 152*T1^15*T2^11 - 
     234*T1^16*T2^11 + 86*T1^4*T2^12 + 248*T1^5*T2^12 - 2850*T1^6*T2^12 + 
     1653*T1^7*T2^12 + 17253*T1^8*T2^12 - 23782*T1^9*T2^12 + 
     19169*T1^10*T2^12 - 17882*T1^11*T2^12 + 5133*T1^12*T2^12 + 
     9921*T1^13*T2^12 - 3542*T1^14*T2^12 - 504*T1^15*T2^12 + 
     258*T1^16*T2^12 - 117*T1^5*T2^13 + 136*T1^6*T2^13 + 2479*T1^7*T2^13 - 
     7675*T1^8*T2^13 + 3088*T1^9*T2^13 + 3278*T1^10*T2^13 - 
     5634*T1^11*T2^13 + 9921*T1^12*T2^13 - 9595*T1^13*T2^13 + 
     1354*T1^14*T2^13 + 872*T1^15*T2^13 - 234*T1^16*T2^13 + 100*T1^6*T2^14 - 
     480*T1^7*T2^14 + 89*T1^8*T2^14 + 2904*T1^9*T2^14 - 4442*T1^10*T2^14 + 
     4027*T1^11*T2^14 - 3542*T1^12*T2^14 + 1354*T1^13*T2^14 + 
     1289*T1^14*T2^14 - 880*T1^15*T2^14 + 150*T1^16*T2^14 - 40*T1^7*T2^15 + 
     272*T1^8*T2^15 - 616*T1^9*T2^15 + 360*T1^10*T2^15 + 152*T1^11*T2^15 - 
     504*T1^12*T2^15 + 872*T1^13*T2^15 - 880*T1^14*T2^15 + 344*T1^15*T2^15 - 
     48*T1^16*T2^15 + 6*T1^8*T2^16 - 48*T1^9*T2^16 + 150*T1^10*T2^16 - 
     234*T1^11*T2^16 + 258*T1^12*T2^16 - 234*T1^13*T2^16 + 150*T1^14*T2^16 - 
     48*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 387] -> 
  {((1 - 3*T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 212*T1^3 - 268*T1^4 + 212*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1048*T1^3*T2 + 
     872*T1^4*T2 - 88*T1^5*T2 - 408*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1433*T1^2*T2^2 + 966*T1^3*T2^2 + 
     1499*T1^4*T2^2 - 4299*T1^5*T2^2 + 3659*T1^6*T2^2 - 1464*T1^7*T2^2 - 
     29*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 212*T2^3 - 1048*T1*T2^3 + 
     966*T1^2*T2^3 + 2889*T1^3*T2^3 - 8975*T1^4*T2^3 + 10744*T1^5*T2^3 - 
     2456*T1^6*T2^3 - 3620*T1^7*T2^3 + 3915*T1^8*T2^3 - 1383*T1^9*T2^3 + 
     8*T1^10*T2^3 + 53*T1^11*T2^3 - 268*T2^4 + 872*T1*T2^4 + 1499*T1^2*T2^4 - 
     8975*T1^3*T2^4 + 13576*T1^4*T2^4 - 4920*T1^5*T2^4 - 15404*T1^6*T2^4 + 
     16940*T1^7*T2^4 - 6896*T1^8*T2^4 - 1131*T1^9*T2^4 + 1951*T1^10*T2^4 - 
     424*T1^11*T2^4 + 212*T2^5 - 88*T1*T2^5 - 4299*T1^2*T2^5 + 
     10744*T1^3*T2^5 - 4920*T1^4*T2^5 - 17734*T1^5*T2^5 + 37247*T1^6*T2^5 - 
     15108*T1^7*T2^5 - 9544*T1^8*T2^5 + 14072*T1^9*T2^5 - 5748*T1^10*T2^5 - 
     21*T1^11*T2^5 + 424*T1^12*T2^5 - 53*T1^13*T2^5 - 108*T2^6 - 
     408*T1*T2^6 + 3659*T1^2*T2^6 - 2456*T1^3*T2^6 - 15404*T1^4*T2^6 + 
     37247*T1^5*T2^6 - 29845*T1^6*T2^6 - 22033*T1^7*T2^6 + 42767*T1^8*T2^6 - 
     22213*T1^9*T2^6 - 370*T1^10*T2^6 + 5806*T1^11*T2^6 - 1917*T1^12*T2^6 - 
     8*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 392*T1*T2^7 - 1464*T1^2*T2^7 - 
     3620*T1^3*T2^7 + 16940*T1^4*T2^7 - 15108*T1^5*T2^7 - 22033*T1^6*T2^7 + 
     69034*T1^7*T2^7 - 50942*T1^8*T2^7 - 3120*T1^9*T2^7 + 23037*T1^10*T2^7 - 
     13524*T1^11*T2^7 + 981*T1^12*T2^7 + 1371*T1^13*T2^7 - 240*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 29*T1^2*T2^8 + 3915*T1^3*T2^8 - 
     6896*T1^4*T2^8 - 9544*T1^5*T2^8 + 42767*T1^6*T2^8 - 50942*T1^7*T2^8 - 
     432*T1^8*T2^8 + 52478*T1^9*T2^8 - 37723*T1^10*T2^8 + 7280*T1^11*T2^8 + 
     7076*T1^12*T2^8 - 3851*T1^13*T2^8 + 31*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 240*T1^2*T2^9 - 1383*T1^3*T2^9 - 
     1131*T1^4*T2^9 + 14072*T1^5*T2^9 - 22213*T1^6*T2^9 - 3120*T1^7*T2^9 + 
     52478*T1^8*T2^9 - 67498*T1^9*T2^9 + 15793*T1^10*T2^9 + 
     15932*T1^11*T2^9 - 16392*T1^12*T2^9 + 3470*T1^13*T2^9 + 
     1452*T1^14*T2^9 - 392*T1^15*T2^9 - 32*T1^16*T2^9 - 54*T1^2*T2^10 + 
     8*T1^3*T2^10 + 1951*T1^4*T2^10 - 5748*T1^5*T2^10 - 370*T1^6*T2^10 + 
     23037*T1^7*T2^10 - 37723*T1^8*T2^10 + 15793*T1^9*T2^10 + 
     34889*T1^10*T2^10 - 36423*T1^11*T2^10 + 14664*T1^12*T2^10 + 
     2514*T1^13*T2^10 - 3625*T1^14*T2^10 + 408*T1^15*T2^10 + 
     108*T1^16*T2^10 + 53*T1^3*T2^11 - 424*T1^4*T2^11 - 21*T1^5*T2^11 + 
     5806*T1^6*T2^11 - 13524*T1^7*T2^11 + 7280*T1^8*T2^11 + 
     15932*T1^9*T2^11 - 36423*T1^10*T2^11 + 15470*T1^11*T2^11 + 
     5468*T1^12*T2^11 - 10686*T1^13*T2^11 + 4257*T1^14*T2^11 + 
     88*T1^15*T2^11 - 212*T1^16*T2^11 + 424*T1^5*T2^12 - 1917*T1^6*T2^12 + 
     981*T1^7*T2^12 + 7076*T1^8*T2^12 - 16392*T1^9*T2^12 + 
     14664*T1^10*T2^12 + 5468*T1^11*T2^12 - 13396*T1^12*T2^12 + 
     8825*T1^13*T2^12 - 1465*T1^14*T2^12 - 872*T1^15*T2^12 + 
     268*T1^16*T2^12 - 53*T1^5*T2^13 - 8*T1^6*T2^13 + 1371*T1^7*T2^13 - 
     3851*T1^8*T2^13 + 3470*T1^9*T2^13 + 2514*T1^10*T2^13 - 
     10686*T1^11*T2^13 + 8825*T1^12*T2^13 - 2825*T1^13*T2^13 - 
     978*T1^14*T2^13 + 1048*T1^15*T2^13 - 212*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 31*T1^8*T2^14 + 1452*T1^9*T2^14 - 3625*T1^10*T2^14 + 
     4257*T1^11*T2^14 - 1465*T1^12*T2^14 - 978*T1^13*T2^14 + 
     1435*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 408*T1^10*T2^15 + 88*T1^11*T2^15 - 
     872*T1^12*T2^15 + 1048*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     212*T1^11*T2^16 + 268*T1^12*T2^16 - 212*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 388] -> 
  {((1 - 3*T + T^2)*(-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 212*T1^3 - 268*T1^4 + 212*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1048*T1^3*T2 + 
     872*T1^4*T2 - 88*T1^5*T2 - 408*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1433*T1^2*T2^2 + 965*T1^3*T2^2 + 
     1499*T1^4*T2^2 - 4301*T1^5*T2^2 + 3659*T1^6*T2^2 - 1465*T1^7*T2^2 - 
     29*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 212*T2^3 - 1048*T1*T2^3 + 
     965*T1^2*T2^3 + 2899*T1^3*T2^3 - 8970*T1^4*T2^3 + 10755*T1^5*T2^3 - 
     2445*T1^6*T2^3 - 3615*T1^7*T2^3 + 3925*T1^8*T2^3 - 1384*T1^9*T2^3 + 
     8*T1^10*T2^3 + 53*T1^11*T2^3 - 268*T2^4 + 872*T1*T2^4 + 1499*T1^2*T2^4 - 
     8970*T1^3*T2^4 + 13452*T1^4*T2^4 - 4882*T1^5*T2^4 - 15528*T1^6*T2^4 + 
     16978*T1^7*T2^4 - 7020*T1^8*T2^4 - 1126*T1^9*T2^4 + 1951*T1^10*T2^4 - 
     424*T1^11*T2^4 + 212*T2^5 - 88*T1*T2^5 - 4301*T1^2*T2^5 + 
     10755*T1^3*T2^5 - 4882*T1^4*T2^5 - 17230*T1^5*T2^5 + 37194*T1^6*T2^5 - 
     15161*T1^7*T2^5 - 9040*T1^8*T2^5 + 14110*T1^9*T2^5 - 5737*T1^10*T2^5 - 
     23*T1^11*T2^5 + 424*T1^12*T2^5 - 53*T1^13*T2^5 - 108*T2^6 - 
     408*T1*T2^6 + 3659*T1^2*T2^6 - 2445*T1^3*T2^6 - 15528*T1^4*T2^6 + 
     37194*T1^5*T2^6 - 31929*T1^6*T2^6 - 19871*T1^7*T2^6 + 40683*T1^8*T2^6 - 
     22266*T1^9*T2^6 - 494*T1^10*T2^6 + 5817*T1^11*T2^6 - 1917*T1^12*T2^6 - 
     8*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 392*T1*T2^7 - 1465*T1^2*T2^7 - 
     3615*T1^3*T2^7 + 16978*T1^4*T2^7 - 15161*T1^5*T2^7 - 19871*T1^6*T2^7 + 
     68810*T1^7*T2^7 - 51166*T1^8*T2^7 - 958*T1^9*T2^7 + 22984*T1^10*T2^7 - 
     13486*T1^11*T2^7 + 986*T1^12*T2^7 + 1370*T1^13*T2^7 - 240*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 29*T1^2*T2^8 + 3925*T1^3*T2^8 - 
     7020*T1^4*T2^8 - 9040*T1^5*T2^8 + 40683*T1^6*T2^8 - 51166*T1^7*T2^8 - 
     1140*T1^8*T2^8 + 52254*T1^9*T2^8 - 39807*T1^10*T2^8 + 7784*T1^11*T2^8 + 
     6952*T1^12*T2^8 - 3841*T1^13*T2^8 + 31*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 240*T1^2*T2^9 - 1384*T1^3*T2^9 - 
     1126*T1^4*T2^9 + 14110*T1^5*T2^9 - 22266*T1^6*T2^9 - 958*T1^7*T2^9 + 
     52254*T1^8*T2^9 - 67722*T1^9*T2^9 + 17955*T1^10*T2^9 + 
     15879*T1^11*T2^9 - 16354*T1^12*T2^9 + 3475*T1^13*T2^9 + 
     1451*T1^14*T2^9 - 392*T1^15*T2^9 - 32*T1^16*T2^9 - 54*T1^2*T2^10 + 
     8*T1^3*T2^10 + 1951*T1^4*T2^10 - 5737*T1^5*T2^10 - 494*T1^6*T2^10 + 
     22984*T1^7*T2^10 - 39807*T1^8*T2^10 + 17955*T1^9*T2^10 + 
     32805*T1^10*T2^10 - 36476*T1^11*T2^10 + 14540*T1^12*T2^10 + 
     2525*T1^13*T2^10 - 3625*T1^14*T2^10 + 408*T1^15*T2^10 + 
     108*T1^16*T2^10 + 53*T1^3*T2^11 - 424*T1^4*T2^11 - 23*T1^5*T2^11 + 
     5817*T1^6*T2^11 - 13486*T1^7*T2^11 + 7784*T1^8*T2^11 + 
     15879*T1^9*T2^11 - 36476*T1^10*T2^11 + 15974*T1^11*T2^11 + 
     5506*T1^12*T2^11 - 10675*T1^13*T2^11 + 4255*T1^14*T2^11 + 
     88*T1^15*T2^11 - 212*T1^16*T2^11 + 424*T1^5*T2^12 - 1917*T1^6*T2^12 + 
     986*T1^7*T2^12 + 6952*T1^8*T2^12 - 16354*T1^9*T2^12 + 
     14540*T1^10*T2^12 + 5506*T1^11*T2^12 - 13520*T1^12*T2^12 + 
     8830*T1^13*T2^12 - 1465*T1^14*T2^12 - 872*T1^15*T2^12 + 
     268*T1^16*T2^12 - 53*T1^5*T2^13 - 8*T1^6*T2^13 + 1370*T1^7*T2^13 - 
     3841*T1^8*T2^13 + 3475*T1^9*T2^13 + 2525*T1^10*T2^13 - 
     10675*T1^11*T2^13 + 8830*T1^12*T2^13 - 2815*T1^13*T2^13 - 
     979*T1^14*T2^13 + 1048*T1^15*T2^13 - 212*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 31*T1^8*T2^14 + 1451*T1^9*T2^14 - 3625*T1^10*T2^14 + 
     4255*T1^11*T2^14 - 1465*T1^12*T2^14 - 979*T1^13*T2^14 + 
     1435*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 408*T1^10*T2^15 + 88*T1^11*T2^15 - 
     872*T1^12*T2^15 + 1048*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     212*T1^11*T2^16 + 268*T1^12*T2^16 - 212*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 389] -> 
  {-((1 - 9*T + 33*T^2 - 70*T^3 + 89*T^4 - 70*T^5 + 33*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 99*T1^2 + 210*T1^3 - 267*T1^4 + 210*T1^5 - 
      99*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 729*T1^2*T2 - 
      1296*T1^3*T2 + 1143*T1^4*T2 - 288*T1^5*T2 - 369*T1^6*T2 + 351*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 99*T2^2 + 729*T1*T2^2 - 1835*T1^2*T2^2 + 
      1849*T1^3*T2^2 + 1512*T1^4*T2^2 - 5271*T1^5*T2^2 + 5208*T1^6*T2^2 - 
      2177*T1^7*T2^2 + 277*T1^8*T2^2 + 135*T1^9*T2^2 - 33*T1^10*T2^2 + 
      210*T2^3 - 1296*T1*T2^3 + 1849*T1^2*T2^3 + 2339*T1^3*T2^3 - 
      13249*T1^4*T2^3 + 17454*T1^5*T2^3 - 8139*T1^6*T2^3 - 3238*T1^7*T2^3 + 
      4775*T1^8*T2^3 - 2111*T1^9*T2^3 + 297*T1^10*T2^3 - 267*T2^4 + 
      1143*T1*T2^4 + 1512*T1^2*T2^4 - 13249*T1^3*T2^4 + 28708*T1^4*T2^4 - 
      18019*T1^5*T2^4 - 14620*T1^6*T2^4 + 30825*T1^7*T2^4 - 16824*T1^8*T2^4 + 
      2151*T1^9*T2^4 + 1920*T1^10*T2^4 - 801*T1^11*T2^4 + 89*T1^12*T2^4 + 
      210*T2^5 - 288*T1*T2^5 - 5271*T1^2*T2^5 + 17454*T1^3*T2^5 - 
      18019*T1^4*T2^5 - 26639*T1^5*T2^5 + 75022*T1^6*T2^5 - 59459*T1^7*T2^5 + 
      647*T1^8*T2^5 + 24424*T1^9*T2^5 - 14245*T1^10*T2^5 + 2496*T1^11*T2^5 + 
      459*T1^12*T2^5 - 140*T1^13*T2^5 - 99*T2^6 - 369*T1*T2^6 + 
      5208*T1^2*T2^6 - 8139*T1^3*T2^6 - 14620*T1^4*T2^6 + 75022*T1^5*T2^6 - 
      90941*T1^6*T2^6 + 921*T1^7*T2^6 + 90619*T1^8*T2^6 - 75392*T1^9*T2^6 + 
      14570*T1^10*T2^6 + 8295*T1^11*T2^6 - 5064*T1^12*T2^6 + 369*T1^13*T2^6 + 
      99*T1^14*T2^6 + 27*T2^7 + 351*T1*T2^7 - 2177*T1^2*T2^7 - 
      3238*T1^3*T2^7 + 30825*T1^4*T2^7 - 59459*T1^5*T2^7 + 921*T1^6*T2^7 + 
      148286*T1^7*T2^7 - 190234*T1^8*T2^7 + 66827*T1^9*T2^7 + 
      43156*T1^10*T2^7 - 37222*T1^11*T2^7 + 8307*T1^12*T2^7 + 
      2179*T1^13*T2^7 - 567*T1^14*T2^7 - 36*T1^15*T2^7 - 3*T2^8 - 
      135*T1*T2^8 + 277*T1^2*T2^8 + 4775*T1^3*T2^8 - 16824*T1^4*T2^8 + 
      647*T1^5*T2^8 + 90619*T1^6*T2^8 - 190234*T1^7*T2^8 + 92112*T1^8*T2^8 + 
      108330*T1^9*T2^8 - 157609*T1^10*T2^8 + 52021*T1^11*T2^8 + 
      5416*T1^12*T2^8 - 9151*T1^13*T2^8 + 523*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 135*T1^2*T2^9 - 2111*T1^3*T2^9 + 
      2151*T1^4*T2^9 + 24424*T1^5*T2^9 - 75392*T1^6*T2^9 + 66827*T1^7*T2^9 + 
      108330*T1^8*T2^9 - 230190*T1^9*T2^9 + 132733*T1^10*T2^9 + 
      27223*T1^11*T2^9 - 43623*T1^12*T2^9 + 13696*T1^13*T2^9 + 
      2245*T1^14*T2^9 - 783*T1^15*T2^9 - 45*T1^16*T2^9 - 33*T1^2*T2^10 + 
      297*T1^3*T2^10 + 1920*T1^4*T2^10 - 14245*T1^5*T2^10 + 
      14570*T1^6*T2^10 + 43156*T1^7*T2^10 - 157609*T1^8*T2^10 + 
      132733*T1^9*T2^10 + 23951*T1^10*T2^10 - 107258*T1^11*T2^10 + 
      43760*T1^12*T2^10 + 2189*T1^13*T2^10 - 8352*T1^14*T2^10 + 
      1035*T1^15*T2^10 + 165*T1^16*T2^10 - 801*T1^4*T2^11 + 2496*T1^5*T2^11 + 
      8295*T1^6*T2^11 - 37222*T1^7*T2^11 + 52021*T1^8*T2^11 + 
      27223*T1^9*T2^11 - 107258*T1^10*T2^11 + 79307*T1^11*T2^11 + 
      5221*T1^12*T2^11 - 23404*T1^13*T2^11 + 10263*T1^14*T2^11 - 
      54*T1^15*T2^11 - 350*T1^16*T2^11 + 89*T1^4*T2^12 + 459*T1^5*T2^12 - 
      5064*T1^6*T2^12 + 8307*T1^7*T2^12 + 5416*T1^8*T2^12 - 
      43623*T1^9*T2^12 + 43760*T1^10*T2^12 + 5221*T1^11*T2^12 - 
      40116*T1^12*T2^12 + 23707*T1^13*T2^12 - 4656*T1^14*T2^12 - 
      1485*T1^15*T2^12 + 445*T1^16*T2^12 - 140*T1^5*T2^13 + 369*T1^6*T2^13 + 
      2179*T1^7*T2^13 - 9151*T1^8*T2^13 + 13696*T1^9*T2^13 + 
      2189*T1^10*T2^13 - 23404*T1^11*T2^13 + 23707*T1^12*T2^13 - 
      6715*T1^13*T2^13 - 1781*T1^14*T2^13 + 1962*T1^15*T2^13 - 
      350*T1^16*T2^13 + 99*T1^6*T2^14 - 567*T1^7*T2^14 + 523*T1^8*T2^14 + 
      2245*T1^9*T2^14 - 8352*T1^10*T2^14 + 10263*T1^11*T2^14 - 
      4656*T1^12*T2^14 - 1781*T1^13*T2^14 + 2635*T1^14*T2^14 - 
      1161*T1^15*T2^14 + 165*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      783*T1^9*T2^15 + 1035*T1^10*T2^15 - 54*T1^11*T2^15 - 1485*T1^12*T2^15 + 
      1962*T1^13*T2^15 - 1161*T1^14*T2^15 + 369*T1^15*T2^15 - 
      45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 165*T1^10*T2^16 - 
      350*T1^11*T2^16 + 445*T1^12*T2^16 - 350*T1^13*T2^16 + 165*T1^14*T2^16 - 
      45*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 390] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^3)/T^4), 
   -((-41 + 224*T1 - 587*T1^2 + 1008*T1^3 - 1187*T1^4 + 1008*T1^5 - 
      587*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1046*T1*T2 + 2234*T1^2*T2 - 
      2951*T1^3*T2 + 2085*T1^4*T2 - 313*T1^5*T2 - 1213*T1^6*T2 + 
      1354*T1^7*T2 - 760*T1^8*T2 + 180*T1^9*T2 - 587*T2^2 + 2234*T1*T2^2 - 
      3425*T1^2*T2^2 + 2344*T1^3*T2^2 + 2079*T1^4*T2^2 - 5355*T1^5*T2^2 + 
      5559*T1^6*T2^2 - 2180*T1^7*T2^2 - 293*T1^8*T2^2 + 958*T1^9*T2^2 - 
      355*T1^10*T2^2 + 1008*T2^3 - 2951*T1*T2^3 + 2344*T1^2*T2^3 + 
      1913*T1^3*T2^3 - 8750*T1^4*T2^3 + 8190*T1^5*T2^3 - 2881*T1^6*T2^3 - 
      4549*T1^7*T2^3 + 4753*T1^8*T2^3 - 2209*T1^9*T2^3 - 289*T1^10*T2^3 + 
      408*T1^11*T2^3 - 1187*T2^4 + 2085*T1*T2^4 + 2079*T1^2*T2^4 - 
      8750*T1^3*T2^4 + 13913*T1^4*T2^4 - 4832*T1^5*T2^4 - 4171*T1^6*T2^4 + 
      9760*T1^7*T2^4 - 2083*T1^8*T2^4 - 2650*T1^9*T2^4 + 3667*T1^10*T2^4 - 
      907*T1^11*T2^4 - 243*T1^12*T2^4 + 1008*T2^5 - 313*T1*T2^5 - 
      5355*T1^2*T2^5 + 8190*T1^3*T2^5 - 4832*T1^4*T2^5 - 12237*T1^5*T2^5 + 
      15050*T1^6*T2^5 - 9187*T1^7*T2^5 - 7977*T1^8*T2^5 + 8912*T1^9*T2^5 - 
      4423*T1^10*T2^5 - 1338*T1^11*T2^5 + 1293*T1^12*T2^5 + 8*T1^13*T2^5 - 
      587*T2^6 - 1213*T1*T2^6 + 5559*T1^2*T2^6 - 2881*T1^3*T2^6 - 
      4171*T1^4*T2^6 + 15050*T1^5*T2^6 - 804*T1^6*T2^6 - 13906*T1^7*T2^6 + 
      25452*T1^8*T2^6 - 10408*T1^9*T2^6 - 1245*T1^10*T2^6 + 5877*T1^11*T2^6 - 
      1705*T1^12*T2^6 - 641*T1^13*T2^6 + 109*T1^14*T2^6 + 224*T2^7 + 
      1354*T1*T2^7 - 2180*T1^2*T2^7 - 4549*T1^3*T2^7 + 9760*T1^4*T2^7 - 
      9187*T1^5*T2^7 - 13906*T1^6*T2^7 + 22309*T1^7*T2^7 - 17389*T1^8*T2^7 - 
      6882*T1^9*T2^7 + 12608*T1^10*T2^7 - 7376*T1^11*T2^7 - 1154*T1^12*T2^7 + 
      2199*T1^13*T2^7 - 142*T1^14*T2^7 - 84*T1^15*T2^7 - 41*T2^8 - 
      760*T1*T2^8 - 293*T1^2*T2^8 + 4753*T1^3*T2^8 - 2083*T1^4*T2^8 - 
      7977*T1^5*T2^8 + 25452*T1^6*T2^8 - 17389*T1^7*T2^8 - 1656*T1^8*T2^8 + 
      20665*T1^9*T2^8 - 13172*T1^10*T2^8 + 57*T1^11*T2^8 + 6061*T1^12*T2^8 - 
      2797*T1^13*T2^8 - 623*T1^14*T2^8 + 340*T1^15*T2^8 + 23*T1^16*T2^8 + 
      180*T1*T2^9 + 958*T1^2*T2^9 - 2209*T1^3*T2^9 - 2650*T1^4*T2^9 + 
      8912*T1^5*T2^9 - 10408*T1^6*T2^9 - 6882*T1^7*T2^9 + 20665*T1^8*T2^9 - 
      19033*T1^9*T2^9 + 142*T1^10*T2^9 + 11387*T1^11*T2^9 - 8224*T1^12*T2^9 + 
      745*T1^13*T2^9 + 2170*T1^14*T2^9 - 538*T1^15*T2^9 - 128*T1^16*T2^9 - 
      355*T1^2*T2^10 - 289*T1^3*T2^10 + 3667*T1^4*T2^10 - 4423*T1^5*T2^10 - 
      1245*T1^6*T2^10 + 12608*T1^7*T2^10 - 13172*T1^8*T2^10 + 
      142*T1^9*T2^10 + 13084*T1^10*T2^10 - 12850*T1^11*T2^10 + 
      1681*T1^12*T2^10 + 4335*T1^13*T2^10 - 3597*T1^14*T2^10 + 
      283*T1^15*T2^10 + 341*T1^16*T2^10 + 408*T1^3*T2^11 - 907*T1^4*T2^11 - 
      1338*T1^5*T2^11 + 5877*T1^6*T2^11 - 7376*T1^7*T2^11 + 57*T1^8*T2^11 + 
      11387*T1^9*T2^11 - 12850*T1^10*T2^11 + 4317*T1^11*T2^11 + 
      6368*T1^12*T2^11 - 6736*T1^13*T2^11 + 2679*T1^14*T2^11 + 
      699*T1^15*T2^11 - 592*T1^16*T2^11 - 243*T1^4*T2^12 + 1293*T1^5*T2^12 - 
      1705*T1^6*T2^12 - 1154*T1^7*T2^12 + 6061*T1^8*T2^12 - 8224*T1^9*T2^12 + 
      1681*T1^10*T2^12 + 6368*T1^11*T2^12 - 9935*T1^12*T2^12 + 
      4946*T1^13*T2^12 - 117*T1^14*T2^12 - 1699*T1^15*T2^12 + 
      701*T1^16*T2^12 + 8*T1^5*T2^13 - 641*T1^6*T2^13 + 2199*T1^7*T2^13 - 
      2797*T1^8*T2^13 + 745*T1^9*T2^13 + 4335*T1^10*T2^13 - 
      6736*T1^11*T2^13 + 4946*T1^12*T2^13 + 43*T1^13*T2^13 - 
      2354*T1^14*T2^13 + 2021*T1^15*T2^13 - 592*T1^16*T2^13 + 
      109*T1^6*T2^14 - 142*T1^7*T2^14 - 623*T1^8*T2^14 + 2170*T1^9*T2^14 - 
      3597*T1^10*T2^14 + 2679*T1^11*T2^14 - 117*T1^12*T2^14 - 
      2354*T1^13*T2^14 + 2509*T1^14*T2^14 - 1418*T1^15*T2^14 + 
      341*T1^16*T2^14 - 84*T1^7*T2^15 + 340*T1^8*T2^15 - 538*T1^9*T2^15 + 
      283*T1^10*T2^15 + 699*T1^11*T2^15 - 1699*T1^12*T2^15 + 
      2021*T1^13*T2^15 - 1418*T1^14*T2^15 + 626*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 341*T1^10*T2^16 - 
      592*T1^11*T2^16 + 701*T1^12*T2^16 - 592*T1^13*T2^16 + 341*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 391] -> 
  {(7 - 23*T + 40*T^2 - 47*T^3 + 40*T^4 - 23*T^5 + 7*T^6)/T^3, 
   -((2149 - 6983*T1 + 12076*T1^2 - 14159*T1^3 + 12076*T1^4 - 6983*T1^5 + 
      2149*T1^6 - 6983*T2 + 16895*T1*T2 - 20353*T1^2*T2 + 13261*T1^3*T2 - 
      746*T1^4*T2 - 10210*T1^5*T2 + 12065*T1^6*T2 - 5856*T1^7*T2 + 
      12076*T2^2 - 20353*T1*T2^2 + 13902*T1^2*T2^2 + 2178*T1^3*T2^2 - 
      13730*T1^4*T2^2 + 15618*T1^5*T2^2 - 4578*T1^6*T2^2 - 7473*T1^7*T2^2 + 
      8156*T1^8*T2^2 - 14159*T2^3 + 13261*T1*T2^3 + 2178*T1^2*T2^3 - 
      15605*T1^3*T2^3 + 13825*T1^4*T2^3 - 4034*T1^5*T2^3 - 10943*T1^6*T2^3 + 
      14058*T1^7*T2^3 - 3000*T1^8*T2^3 - 7250*T1^9*T2^3 + 12076*T2^4 - 
      746*T1*T2^4 - 13730*T1^2*T2^4 + 13825*T1^3*T2^4 + 641*T1^4*T2^4 - 
      10587*T1^5*T2^4 + 15569*T1^6*T2^4 - 4881*T1^7*T2^4 - 8804*T1^8*T2^4 + 
      9880*T1^9*T2^4 + 4236*T1^10*T2^4 - 6983*T2^5 - 10210*T1*T2^5 + 
      15618*T1^2*T2^5 - 4034*T1^3*T2^5 - 10587*T1^4*T2^5 + 9833*T1^5*T2^5 - 
      3997*T1^6*T2^5 - 8987*T1^7*T2^5 + 12131*T1^8*T2^5 - 2502*T1^9*T2^5 - 
      9405*T1^10*T2^5 - 1348*T1^11*T2^5 + 2149*T2^6 + 12065*T1*T2^6 - 
      4578*T1^2*T2^6 - 10943*T1^3*T2^6 + 15569*T1^4*T2^6 - 3997*T1^5*T2^6 - 
      4332*T1^6*T2^6 + 9737*T1^7*T2^6 - 2339*T1^8*T2^6 - 8165*T1^9*T2^6 + 
      9930*T1^10*T2^6 + 4015*T1^11*T2^6 + 91*T1^12*T2^6 - 5856*T1*T2^7 - 
      7473*T1^2*T2^7 + 14058*T1^3*T2^7 - 4881*T1^4*T2^7 - 8987*T1^5*T2^7 + 
      9737*T1^6*T2^7 - 4093*T1^7*T2^7 - 7387*T1^8*T2^7 + 11284*T1^9*T2^7 - 
      4062*T1^10*T2^7 - 6668*T1^11*T2^7 - 221*T1^12*T2^7 + 8156*T1^2*T2^8 - 
      3000*T1^3*T2^8 - 8804*T1^4*T2^8 + 12131*T1^5*T2^8 - 2339*T1^6*T2^8 - 
      7387*T1^7*T2^8 + 12589*T1^8*T2^8 - 6575*T1^9*T2^8 - 3878*T1^10*T2^8 + 
      7626*T1^11*T2^8 + 316*T1^12*T2^8 - 7250*T1^3*T2^9 + 9880*T1^4*T2^9 - 
      2502*T1^5*T2^9 - 8165*T1^6*T2^9 + 11284*T1^7*T2^9 - 6575*T1^8*T2^9 - 
      3503*T1^9*T2^9 + 9378*T1^10*T2^9 - 6381*T1^11*T2^9 - 341*T1^12*T2^9 + 
      4236*T1^4*T2^10 - 9405*T1^5*T2^10 + 9930*T1^6*T2^10 - 4062*T1^7*T2^10 - 
      3878*T1^8*T2^10 + 9378*T1^9*T2^10 - 8550*T1^10*T2^10 + 
      3475*T1^11*T2^10 + 316*T1^12*T2^10 - 1348*T1^5*T2^11 + 
      4015*T1^6*T2^11 - 6668*T1^7*T2^11 + 7626*T1^8*T2^11 - 6381*T1^9*T2^11 + 
      3475*T1^10*T2^11 - 815*T1^11*T2^11 - 221*T1^12*T2^11 + 91*T1^6*T2^12 - 
      221*T1^7*T2^12 + 316*T1^8*T2^12 - 341*T1^9*T2^12 + 316*T1^10*T2^12 - 
      221*T1^11*T2^12 + 91*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 392] -> {(12 - 38*T + 53*T^2 - 38*T^3 + 12*T^4)/T^2, 
   -((7740 - 24246*T1 + 33726*T1^2 - 24246*T1^3 + 7740*T1^4 - 24246*T2 + 
      57330*T1*T2 - 47150*T1^2*T2 - 5654*T1^3*T2 + 34530*T1^4*T2 - 
      18774*T1^5*T2 + 33726*T2^2 - 47150*T1*T2^2 - 19089*T1^2*T2^2 + 
      94277*T1^3*T2^2 - 71241*T1^4*T2^2 + 1186*T1^5*T2^2 + 18462*T1^6*T2^2 - 
      24246*T2^3 - 5654*T1*T2^3 + 94277*T1^2*T2^3 - 109858*T1^3*T2^3 + 
      5016*T1^4*T2^3 + 66081*T1^5*T2^3 - 33470*T1^6*T2^3 - 7830*T1^7*T2^3 + 
      7740*T2^4 + 34530*T1*T2^4 - 71241*T1^2*T2^4 + 5016*T1^3*T2^4 + 
      100752*T1^4*T2^4 - 91504*T1^5*T2^4 + 7975*T1^6*T2^4 + 21762*T1^7*T2^4 + 
      828*T1^8*T2^4 - 18774*T1*T2^5 + 1186*T1^2*T2^5 + 66081*T1^3*T2^5 - 
      91504*T1^4*T2^5 + 23370*T1^5*T2^5 + 37885*T1^6*T2^5 - 26630*T1^7*T2^5 - 
      2358*T1^8*T2^5 + 18462*T1^2*T2^6 - 33470*T1^3*T2^6 + 7975*T1^4*T2^6 + 
      37885*T1^5*T2^6 - 44177*T1^6*T2^6 + 14866*T1^7*T2^6 + 3198*T1^8*T2^6 - 
      7830*T1^3*T2^7 + 21762*T1^4*T2^7 - 26630*T1^5*T2^7 + 14866*T1^6*T2^7 - 
      1038*T1^7*T2^7 - 2358*T1^8*T2^7 + 828*T1^4*T2^8 - 2358*T1^5*T2^8 + 
      3198*T1^6*T2^8 - 2358*T1^7*T2^8 + 828*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 393] -> 
  {-(((1 - T + T^2)*(5 - 22*T + 33*T^2 - 22*T^3 + 5*T^4))/T^3), 
   -((-645 + 3455*T1 - 7622*T1^2 + 9761*T1^3 - 7622*T1^4 + 3455*T1^5 - 
      645*T1^6 + 3455*T2 - 15753*T1*T2 + 26049*T1^2*T2 - 19608*T1^3*T2 - 
      1113*T1^4*T2 + 14304*T1^5*T2 - 11433*T1^6*T2 + 2780*T1^7*T2 - 
      7622*T2^2 + 26049*T1*T2^2 - 15387*T1^2*T2^2 - 35444*T1^3*T2^2 + 
      80675*T1^4*T2^2 - 65444*T1^5*T2^2 + 17613*T1^6*T2^2 + 9849*T1^7*T2^2 - 
      4622*T1^8*T2^2 + 9761*T2^3 - 19608*T1*T2^3 - 35444*T1^2*T2^3 + 
      112763*T1^3*T2^3 - 112322*T1^4*T2^3 + 9133*T1^5*T2^3 + 
      66533*T1^6*T2^3 - 52904*T1^7*T2^3 + 3477*T1^8*T2^3 + 3986*T1^9*T2^3 - 
      7622*T2^4 - 1113*T1*T2^4 + 80675*T1^2*T2^4 - 112322*T1^3*T2^4 + 
      13105*T1^4*T2^4 + 131547*T1^5*T2^4 - 128795*T1^6*T2^4 + 
      23968*T1^7*T2^4 + 40409*T1^8*T2^4 - 12723*T1^9*T2^4 - 1622*T1^10*T2^4 + 
      3455*T2^5 + 14304*T1*T2^5 - 65444*T1^2*T2^5 + 9133*T1^3*T2^5 + 
      131547*T1^4*T2^5 - 185961*T1^5*T2^5 + 45759*T1^6*T2^5 + 
      87627*T1^7*T2^5 - 82652*T1^8*T2^5 + 2176*T1^9*T2^5 + 8229*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 11433*T1*T2^6 + 17613*T1^2*T2^6 + 
      66533*T1^3*T2^6 - 128795*T1^4*T2^6 + 45759*T1^5*T2^6 + 
      127392*T1^6*T2^6 - 157911*T1^7*T2^6 + 51673*T1^8*T2^6 + 
      35543*T1^9*T2^6 - 16119*T1^10*T2^6 - 903*T1^11*T2^6 + 105*T1^12*T2^6 + 
      2780*T1*T2^7 + 9849*T1^2*T2^7 - 52904*T1^3*T2^7 + 23968*T1^4*T2^7 + 
      87627*T1^5*T2^7 - 157911*T1^6*T2^7 + 73809*T1^7*T2^7 + 
      43707*T1^8*T2^7 - 67817*T1^9*T2^7 + 14716*T1^10*T2^7 + 
      3774*T1^11*T2^7 - 595*T1^12*T2^7 - 4622*T1^2*T2^8 + 3477*T1^3*T2^8 + 
      40409*T1^4*T2^8 - 82652*T1^5*T2^8 + 51673*T1^6*T2^8 + 43707*T1^7*T2^8 - 
      90227*T1^8*T2^8 + 53638*T1^9*T2^8 + 143*T1^10*T2^8 - 8133*T1^11*T2^8 + 
      1378*T1^12*T2^8 + 3986*T1^3*T2^9 - 12723*T1^4*T2^9 + 2176*T1^5*T2^9 + 
      35543*T1^6*T2^9 - 67817*T1^7*T2^9 + 53638*T1^8*T2^9 - 10687*T1^9*T2^9 - 
      15284*T1^10*T2^9 + 10362*T1^11*T2^9 - 1789*T1^12*T2^9 - 
      1622*T1^4*T2^10 + 8229*T1^5*T2^10 - 16119*T1^6*T2^10 + 
      14716*T1^7*T2^10 + 143*T1^8*T2^10 - 15284*T1^9*T2^10 + 
      16881*T1^10*T2^10 - 7971*T1^11*T2^10 + 1378*T1^12*T2^10 + 
      80*T1^5*T2^11 - 903*T1^6*T2^11 + 3774*T1^7*T2^11 - 8133*T1^8*T2^11 + 
      10362*T1^9*T2^11 - 7971*T1^10*T2^11 + 3417*T1^11*T2^11 - 
      595*T1^12*T2^11 + 105*T1^6*T2^12 - 595*T1^7*T2^12 + 1378*T1^8*T2^12 - 
      1789*T1^9*T2^12 + 1378*T1^10*T2^12 - 595*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 394] -> 
  {(2 - 9*T + 23*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 178*T1^2 + 281*T1^3 - 321*T1^4 + 281*T1^5 - 
     178*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 284*T1*T2 + 663*T1^2*T2 - 
     886*T1^3*T2 + 831*T1^4*T2 - 555*T1^5*T2 + 176*T1^6*T2 + 87*T1^7*T2 - 
     86*T1^8*T2 + 33*T1^9*T2 - 178*T2^2 + 663*T1*T2^2 - 1391*T1^2*T2^2 + 
     1485*T1^3*T2^2 - 932*T1^4*T2^2 + 87*T1^5*T2^2 + 724*T1^6*T2^2 - 
     999*T1^7*T2^2 + 541*T1^8*T2^2 - 165*T1^9*T2^2 + 6*T1^10*T2^2 + 
     281*T2^3 - 886*T1*T2^3 + 1485*T1^2*T2^3 - 689*T1^3*T2^3 - 
     684*T1^4*T2^3 + 1536*T1^5*T2^3 - 1659*T1^6*T2^3 + 729*T1^7*T2^3 + 
     895*T1^8*T2^3 - 1206*T1^9*T2^3 + 644*T1^10*T2^3 - 151*T1^11*T2^3 - 
     321*T2^4 + 831*T1*T2^4 - 932*T1^2*T2^4 - 684*T1^3*T2^4 + 
     1967*T1^4*T2^4 - 1349*T1^5*T2^4 + 157*T1^6*T2^4 + 1459*T1^7*T2^4 - 
     2737*T1^8*T2^4 + 1116*T1^9*T2^4 + 780*T1^10*T2^4 - 825*T1^11*T2^4 + 
     335*T1^12*T2^4 + 281*T2^5 - 555*T1*T2^5 + 87*T1^2*T2^5 + 
     1536*T1^3*T2^5 - 1349*T1^4*T2^5 - 2133*T1^5*T2^5 + 4361*T1^6*T2^5 - 
     5602*T1^7*T2^5 + 5049*T1^8*T2^5 - 539*T1^9*T2^5 - 1857*T1^10*T2^5 + 
     114*T1^11*T2^5 + 471*T1^12*T2^5 - 439*T1^13*T2^5 - 178*T2^6 + 
     176*T1*T2^6 + 724*T1^2*T2^6 - 1659*T1^3*T2^6 + 157*T1^4*T2^6 + 
     4361*T1^5*T2^6 - 3727*T1^6*T2^6 + 2009*T1^7*T2^6 + 1025*T1^8*T2^6 - 
     5953*T1^9*T2^6 + 4423*T1^10*T2^6 + 1239*T1^11*T2^6 - 820*T1^12*T2^6 + 
     284*T1^13*T2^6 + 374*T1^14*T2^6 + 69*T2^7 + 87*T1*T2^7 - 999*T1^2*T2^7 + 
     729*T1^3*T2^7 + 1459*T1^4*T2^7 - 5602*T1^5*T2^7 + 2009*T1^6*T2^7 - 
     1075*T1^7*T2^7 + 95*T1^8*T2^7 + 1325*T1^9*T2^7 + 3659*T1^10*T2^7 - 
     7343*T1^11*T2^7 + 864*T1^12*T2^7 + 450*T1^13*T2^7 - 849*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 86*T1*T2^8 + 541*T1^2*T2^8 + 895*T1^3*T2^8 - 
     2737*T1^4*T2^8 + 5049*T1^5*T2^8 + 1025*T1^6*T2^8 + 95*T1^7*T2^8 - 
     72*T1^8*T2^8 - 463*T1^9*T2^8 - 3195*T1^10*T2^8 + 2079*T1^11*T2^8 + 
     6419*T1^12*T2^8 - 2939*T1^13*T2^8 + 1135*T1^14*T2^8 + 598*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 165*T1^2*T2^9 - 1206*T1^3*T2^9 + 
     1116*T1^4*T2^9 - 539*T1^5*T2^9 - 5953*T1^6*T2^9 + 1325*T1^7*T2^9 - 
     463*T1^8*T2^9 + 707*T1^9*T2^9 + 641*T1^10*T2^9 + 3308*T1^11*T2^9 - 
     9341*T1^12*T2^9 + 1251*T1^13*T2^9 + 243*T1^14*T2^9 - 1101*T1^15*T2^9 - 
     219*T1^16*T2^9 + 6*T1^2*T2^10 + 644*T1^3*T2^10 + 780*T1^4*T2^10 - 
     1857*T1^5*T2^10 + 4423*T1^6*T2^10 + 3659*T1^7*T2^10 - 3195*T1^8*T2^10 + 
     641*T1^9*T2^10 + 1557*T1^10*T2^10 - 6655*T1^11*T2^10 + 
     8689*T1^12*T2^10 + 1041*T1^13*T2^10 - 764*T1^14*T2^10 + 
     752*T1^15*T2^10 + 558*T1^16*T2^10 - 151*T1^3*T2^11 - 825*T1^4*T2^11 + 
     114*T1^5*T2^11 + 1239*T1^6*T2^11 - 7343*T1^7*T2^11 + 2079*T1^8*T2^11 + 
     3308*T1^9*T2^11 - 6655*T1^10*T2^11 + 9261*T1^11*T2^11 - 
     6533*T1^12*T2^11 - 2154*T1^13*T2^11 + 141*T1^14*T2^11 + 
     201*T1^15*T2^11 - 871*T1^16*T2^11 + 335*T1^4*T2^12 + 471*T1^5*T2^12 - 
     820*T1^6*T2^12 + 864*T1^7*T2^12 + 6419*T1^8*T2^12 - 9341*T1^9*T2^12 + 
     8689*T1^10*T2^12 - 6533*T1^11*T2^12 + 1715*T1^12*T2^12 + 
     2664*T1^13*T2^12 + 892*T1^14*T2^12 - 1185*T1^15*T2^12 + 
     991*T1^16*T2^12 - 439*T1^5*T2^13 + 284*T1^6*T2^13 + 450*T1^7*T2^13 - 
     2939*T1^8*T2^13 + 1251*T1^9*T2^13 + 1041*T1^10*T2^13 - 
     2154*T1^11*T2^13 + 2664*T1^12*T2^13 - 1355*T1^13*T2^13 - 
     2241*T1^14*T2^13 + 1814*T1^15*T2^13 - 871*T1^16*T2^13 + 374*T1^6*T2^14 - 
     849*T1^7*T2^14 + 1135*T1^8*T2^14 + 243*T1^9*T2^14 - 764*T1^10*T2^14 + 
     141*T1^11*T2^14 + 892*T1^12*T2^14 - 2241*T1^13*T2^14 + 
     3067*T1^14*T2^14 - 1677*T1^15*T2^14 + 558*T1^16*T2^14 - 183*T1^7*T2^15 + 
     598*T1^8*T2^15 - 1101*T1^9*T2^15 + 752*T1^10*T2^15 + 201*T1^11*T2^15 - 
     1185*T1^12*T2^15 + 1814*T1^13*T2^15 - 1677*T1^14*T2^15 + 
     796*T1^15*T2^15 - 219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 
     558*T1^10*T2^16 - 871*T1^11*T2^16 + 991*T1^12*T2^16 - 871*T1^13*T2^16 + 
     558*T1^14*T2^16 - 219*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 395] -> 
  {(4 - 18*T + 42*T^2 - 55*T^3 + 42*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-112 + 512*T1 - 1200*T1^2 + 1576*T1^3 - 1200*T1^4 + 512*T1^5 - 112*T1^6 + 
     512*T2 - 2114*T1*T2 + 4440*T1^2*T2 - 4742*T1^3*T2 + 2242*T1^4*T2 + 
     120*T1^5*T2 - 530*T1^6*T2 + 224*T1^7*T2 - 1200*T2^2 + 4440*T1*T2^2 - 
     7915*T1^2*T2^2 + 5084*T1^3*T2^2 + 3155*T1^4*T2^2 - 7348*T1^5*T2^2 + 
     4853*T1^6*T2^2 - 1608*T1^7*T2^2 + 144*T1^8*T2^2 + 1576*T2^3 - 
     4742*T1*T2^3 + 5084*T1^2*T2^3 + 5388*T1^3*T2^3 - 18383*T1^4*T2^3 + 
     15349*T1^5*T2^3 - 1032*T1^6*T2^3 - 6004*T1^7*T2^3 + 4114*T1^8*T2^3 - 
     1064*T1^9*T2^3 - 1200*T2^4 + 2242*T1*T2^4 + 3155*T1^2*T2^4 - 
     18383*T1^3*T2^4 + 25715*T1^4*T2^4 - 3453*T1^5*T2^4 - 22009*T1^6*T2^4 + 
     19897*T1^7*T2^4 - 4261*T1^8*T2^4 - 1934*T1^9*T2^4 + 1488*T1^10*T2^4 + 
     512*T2^5 + 120*T1*T2^5 - 7348*T1^2*T2^5 + 15349*T1^3*T2^5 - 
     3453*T1^4*T2^5 - 39514*T1^5*T2^5 + 56396*T1^6*T2^5 - 23361*T1^7*T2^5 - 
     9287*T1^8*T2^5 + 9116*T1^9*T2^5 - 2472*T1^10*T2^5 - 928*T1^11*T2^5 - 
     112*T2^6 - 530*T1*T2^6 + 4853*T1^2*T2^6 - 1032*T1^3*T2^6 - 
     22009*T1^4*T2^6 + 56396*T1^5*T2^6 - 34092*T1^6*T2^6 - 26620*T1^7*T2^6 + 
     44807*T1^8*T2^6 - 15384*T1^9*T2^6 - 331*T1^10*T2^6 + 2926*T1^11*T2^6 + 
     272*T1^12*T2^6 + 224*T1*T2^7 - 1608*T1^2*T2^7 - 6004*T1^3*T2^7 + 
     19897*T1^4*T2^7 - 23361*T1^5*T2^7 - 26620*T1^6*T2^7 + 69290*T1^7*T2^7 - 
     43269*T1^8*T2^7 - 4739*T1^9*T2^7 + 10460*T1^10*T2^7 - 4200*T1^11*T2^7 - 
     1216*T1^12*T2^7 + 144*T1^2*T2^8 + 4114*T1^3*T2^8 - 4261*T1^4*T2^8 - 
     9287*T1^5*T2^8 + 44807*T1^6*T2^8 - 43269*T1^7*T2^8 - 2917*T1^8*T2^8 + 
     28993*T1^9*T2^8 - 11677*T1^10*T2^8 - 62*T1^11*T2^8 + 2832*T1^12*T2^8 - 
     1064*T1^3*T2^9 - 1934*T1^4*T2^9 + 9116*T1^5*T2^9 - 15384*T1^6*T2^9 - 
     4739*T1^7*T2^9 + 28993*T1^8*T2^9 - 21804*T1^9*T2^9 - 1972*T1^10*T2^9 + 
     6922*T1^11*T2^9 - 3704*T1^12*T2^9 + 1488*T1^4*T2^10 - 2472*T1^5*T2^10 - 
     331*T1^6*T2^10 + 10460*T1^7*T2^10 - 11677*T1^8*T2^10 - 1972*T1^9*T2^10 + 
     12437*T1^10*T2^10 - 8520*T1^11*T2^10 + 2832*T1^12*T2^10 - 
     928*T1^5*T2^11 + 2926*T1^6*T2^11 - 4200*T1^7*T2^11 - 62*T1^8*T2^11 + 
     6922*T1^9*T2^11 - 8520*T1^10*T2^11 + 4510*T1^11*T2^11 - 
     1216*T1^12*T2^11 + 272*T1^6*T2^12 - 1216*T1^7*T2^12 + 2832*T1^8*T2^12 - 
     3704*T1^9*T2^12 + 2832*T1^10*T2^12 - 1216*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 396] -> 
  {((1 - T + T^2)^2*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 88*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 88*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 469*T1^2*T2 - 658*T1^3*T2 + 
     532*T1^4*T2 - 91*T1^5*T2 - 224*T1^6*T2 + 266*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 88*T2^2 + 469*T1*T2^2 - 950*T1^2*T2^2 + 589*T1^3*T2^2 + 
     602*T1^4*T2^2 - 1922*T1^5*T2^2 + 1790*T1^6*T2^2 - 863*T1^7*T2^2 - 
     26*T1^8*T2^2 + 161*T1^9*T2^2 - 44*T1^10*T2^2 + 160*T2^3 - 658*T1*T2^3 + 
     589*T1^2*T2^3 + 1660*T1^3*T2^3 - 4107*T1^4*T2^3 + 4769*T1^5*T2^3 - 
     1497*T1^6*T2^3 - 1279*T1^7*T2^3 + 2114*T1^8*T2^3 - 819*T1^9*T2^3 + 
     28*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 532*T1*T2^4 + 602*T1^2*T2^4 - 
     4107*T1^3*T2^4 + 4462*T1^4*T2^4 - 782*T1^5*T2^4 - 6738*T1^6*T2^4 + 
     7870*T1^7*T2^4 - 4610*T1^8*T2^4 - 187*T1^9*T2^4 + 994*T1^10*T2^4 - 
     280*T1^11*T2^4 + 160*T2^5 - 91*T1*T2^5 - 1922*T1^2*T2^5 + 
     4769*T1^3*T2^5 - 782*T1^4*T2^5 - 6151*T1^5*T2^5 + 13089*T1^6*T2^5 - 
     7233*T1^7*T2^5 - 1015*T1^8*T2^5 + 6087*T1^9*T2^5 - 2829*T1^10*T2^5 + 
     T1^11*T2^5 + 280*T1^12*T2^5 - 40*T1^13*T2^5 - 88*T2^6 - 224*T1*T2^6 + 
     1790*T1^2*T2^6 - 1497*T1^3*T2^6 - 6738*T1^4*T2^6 + 13089*T1^5*T2^6 - 
     14066*T1^6*T2^6 - 268*T1^7*T2^6 + 9958*T1^8*T2^6 - 9579*T1^9*T2^6 + 
     206*T1^10*T2^6 + 2771*T1^11*T2^6 - 990*T1^12*T2^6 - 28*T1^13*T2^6 + 
     44*T1^14*T2^6 + 28*T2^7 + 266*T1*T2^7 - 863*T1^2*T2^7 - 1279*T1^3*T2^7 + 
     7870*T1^4*T2^7 - 7233*T1^5*T2^7 - 268*T1^6*T2^7 + 16101*T1^7*T2^7 - 
     16597*T1^8*T2^7 + 3904*T1^9*T2^7 + 8397*T1^10*T2^7 - 6131*T1^11*T2^7 + 
     261*T1^12*T2^7 + 809*T1^13*T2^7 - 161*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 26*T1^2*T2^8 + 2114*T1^3*T2^8 - 4610*T1^4*T2^8 - 
     1015*T1^5*T2^8 + 9958*T1^6*T2^8 - 16597*T1^7*T2^8 + 5004*T1^8*T2^8 + 
     12033*T1^9*T2^8 - 14298*T1^10*T2^8 + 2831*T1^11*T2^8 + 4214*T1^12*T2^8 - 
     2090*T1^13*T2^8 + 28*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 161*T1^2*T2^9 - 819*T1^3*T2^9 - 187*T1^4*T2^9 + 
     6087*T1^5*T2^9 - 9579*T1^6*T2^9 + 3904*T1^7*T2^9 + 12033*T1^8*T2^9 - 
     20665*T1^9*T2^9 + 8076*T1^10*T2^9 + 6051*T1^11*T2^9 - 7914*T1^12*T2^9 + 
     1353*T1^13*T2^9 + 853*T1^14*T2^9 - 266*T1^15*T2^9 - 28*T1^16*T2^9 - 
     44*T1^2*T2^10 + 28*T1^3*T2^10 + 994*T1^4*T2^10 - 2829*T1^5*T2^10 + 
     206*T1^6*T2^10 + 8397*T1^7*T2^10 - 14298*T1^8*T2^10 + 8076*T1^9*T2^10 + 
     9726*T1^10*T2^10 - 14271*T1^11*T2^10 + 7150*T1^12*T2^10 + 
     1439*T1^13*T2^10 - 1786*T1^14*T2^10 + 224*T1^15*T2^10 + 88*T1^16*T2^10 + 
     40*T1^3*T2^11 - 280*T1^4*T2^11 + T1^5*T2^11 + 2771*T1^6*T2^11 - 
     6131*T1^7*T2^11 + 2831*T1^8*T2^11 + 6051*T1^9*T2^11 - 
     14271*T1^10*T2^11 + 7967*T1^11*T2^11 + 738*T1^12*T2^11 - 
     4827*T1^13*T2^11 + 1924*T1^14*T2^11 + 91*T1^15*T2^11 - 160*T1^16*T2^11 + 
     280*T1^5*T2^12 - 990*T1^6*T2^12 + 261*T1^7*T2^12 + 4214*T1^8*T2^12 - 
     7914*T1^9*T2^12 + 7150*T1^10*T2^12 + 738*T1^11*T2^12 - 
     4858*T1^12*T2^12 + 4181*T1^13*T2^12 - 598*T1^14*T2^12 - 
     532*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 28*T1^6*T2^13 + 
     809*T1^7*T2^13 - 2090*T1^8*T2^13 + 1353*T1^9*T2^13 + 1439*T1^10*T2^13 - 
     4827*T1^11*T2^13 + 4181*T1^12*T2^13 - 1636*T1^13*T2^13 - 
     599*T1^14*T2^13 + 658*T1^15*T2^13 - 160*T1^16*T2^13 + 44*T1^6*T2^14 - 
     161*T1^7*T2^14 + 28*T1^8*T2^14 + 853*T1^9*T2^14 - 1786*T1^10*T2^14 + 
     1924*T1^11*T2^14 - 598*T1^12*T2^14 - 599*T1^13*T2^14 + 952*T1^14*T2^14 - 
     469*T1^15*T2^14 + 88*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     266*T1^9*T2^15 + 224*T1^10*T2^15 + 91*T1^11*T2^15 - 532*T1^12*T2^15 + 
     658*T1^13*T2^15 - 469*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 88*T1^10*T2^16 - 160*T1^11*T2^16 + 
     196*T1^12*T2^16 - 160*T1^13*T2^16 + 88*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 397] -> 
  {-((3 - 20*T + 48*T^2 - 63*T^3 + 48*T^4 - 20*T^5 + 3*T^6)/T^3), 
   -((-138 + 919*T1 - 2201*T1^2 + 2888*T1^3 - 2201*T1^4 + 919*T1^5 - 
      138*T1^6 + 919*T2 - 5382*T1*T2 + 9744*T1^2*T2 - 7459*T1^3*T2 - 
      799*T1^4*T2 + 5664*T1^5*T2 - 4002*T1^6*T2 + 739*T1^7*T2 - 2201*T2^2 + 
      9744*T1*T2^2 - 3980*T1^2*T2^2 - 22679*T1^3*T2^2 + 45448*T1^4*T2^2 - 
      35063*T1^5*T2^2 + 8980*T1^6*T2^2 + 3984*T1^7*T2^2 - 1337*T1^8*T2^2 + 
      2888*T2^3 - 7459*T1*T2^3 - 22679*T1^2*T2^3 + 68027*T1^3*T2^3 - 
      65804*T1^4*T2^3 + 2200*T1^5*T2^3 + 40169*T1^6*T2^3 - 27815*T1^7*T2^3 + 
      1001*T1^8*T2^3 + 1187*T1^9*T2^3 - 2201*T2^4 - 799*T1*T2^4 + 
      45448*T1^2*T2^4 - 65804*T1^3*T2^4 + 1128*T1^4*T2^4 + 90176*T1^5*T2^4 - 
      81312*T1^6*T2^4 + 11308*T1^7*T2^4 + 22696*T1^8*T2^4 - 4759*T1^9*T2^4 - 
      473*T1^10*T2^4 + 919*T2^5 + 5664*T1*T2^5 - 35063*T1^2*T2^5 + 
      2200*T1^3*T2^5 + 90176*T1^4*T2^5 - 122602*T1^5*T2^5 + 24122*T1^6*T2^5 + 
      60224*T1^7*T2^5 - 47588*T1^8*T2^5 - 935*T1^9*T2^5 + 3024*T1^10*T2^5 + 
      19*T1^11*T2^5 - 138*T2^6 - 4002*T1*T2^6 + 8980*T1^2*T2^6 + 
      40169*T1^3*T2^6 - 81312*T1^4*T2^6 + 24122*T1^5*T2^6 + 91044*T1^6*T2^6 - 
      103102*T1^7*T2^6 + 27840*T1^8*T2^6 + 21407*T1^9*T2^6 - 
      6604*T1^10*T2^6 - 282*T1^11*T2^6 + 24*T1^12*T2^6 + 739*T1*T2^7 + 
      3984*T1^2*T2^7 - 27815*T1^3*T2^7 + 11308*T1^4*T2^7 + 60224*T1^5*T2^7 - 
      103102*T1^6*T2^7 + 43622*T1^7*T2^7 + 30272*T1^8*T2^7 - 
      38480*T1^9*T2^7 + 6313*T1^10*T2^7 + 1344*T1^11*T2^7 - 161*T1^12*T2^7 - 
      1337*T1^2*T2^8 + 1001*T1^3*T2^8 + 22696*T1^4*T2^8 - 47588*T1^5*T2^8 + 
      27840*T1^6*T2^8 + 30272*T1^7*T2^8 - 54600*T1^8*T2^8 + 29524*T1^9*T2^8 - 
      56*T1^10*T2^8 - 2959*T1^11*T2^8 + 391*T1^12*T2^8 + 1187*T1^3*T2^9 - 
      4759*T1^4*T2^9 - 935*T1^5*T2^9 + 21407*T1^6*T2^9 - 38480*T1^7*T2^9 + 
      29524*T1^8*T2^9 - 6451*T1^9*T2^9 - 6071*T1^10*T2^9 + 3701*T1^11*T2^9 - 
      514*T1^12*T2^9 - 473*T1^4*T2^10 + 3024*T1^5*T2^10 - 6604*T1^6*T2^10 + 
      6313*T1^7*T2^10 - 56*T1^8*T2^10 - 6071*T1^9*T2^10 + 6356*T1^10*T2^10 - 
      2736*T1^11*T2^10 + 391*T1^12*T2^10 + 19*T1^5*T2^11 - 282*T1^6*T2^11 + 
      1344*T1^7*T2^11 - 2959*T1^8*T2^11 + 3701*T1^9*T2^11 - 
      2736*T1^10*T2^11 + 1098*T1^11*T2^11 - 161*T1^12*T2^11 + 24*T1^6*T2^12 - 
      161*T1^7*T2^12 + 391*T1^8*T2^12 - 514*T1^9*T2^12 + 391*T1^10*T2^12 - 
      161*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 398] -> 
  {(1 - 7*T + 22*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 22*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 132*T1^2 + 234*T1^3 - 282*T1^4 + 234*T1^5 - 132*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 679*T1^2*T2 - 868*T1^3*T2 + 
     609*T1^4*T2 + 7*T1^5*T2 - 441*T1^6*T2 + 476*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 132*T2^2 + 679*T1*T2^2 - 1280*T1^2*T2^2 + 392*T1^3*T2^2 + 
     1386*T1^4*T2^2 - 2898*T1^5*T2^2 + 2486*T1^6*T2^2 - 1016*T1^7*T2^2 - 
     356*T1^8*T2^2 + 371*T1^9*T2^2 - 88*T1^10*T2^2 + 234*T2^3 - 868*T1*T2^3 + 
     392*T1^2*T2^3 + 3533*T1^3*T2^3 - 6232*T1^4*T2^3 + 5569*T1^5*T2^3 - 
     538*T1^6*T2^3 - 3156*T1^7*T2^3 + 3747*T1^8*T2^3 - 950*T1^9*T2^3 - 
     203*T1^10*T2^3 + 117*T1^11*T2^3 - 282*T2^4 + 609*T1*T2^4 + 
     1386*T1^2*T2^4 - 6232*T1^3*T2^4 + 3321*T1^4*T2^4 + 4563*T1^5*T2^4 - 
     13459*T1^6*T2^4 + 12197*T1^7*T2^4 - 5503*T1^8*T2^4 - 2098*T1^9*T2^4 + 
     1700*T1^10*T2^4 - 161*T1^11*T2^4 - 94*T1^12*T2^4 + 234*T2^5 + 
     7*T1*T2^5 - 2898*T1^2*T2^5 + 5569*T1^3*T2^5 + 4563*T1^4*T2^5 - 
     13690*T1^5*T2^5 + 15974*T1^6*T2^5 - 3262*T1^7*T2^5 - 6850*T1^8*T2^5 + 
     9996*T1^9*T2^5 - 1676*T1^10*T2^5 - 1137*T1^11*T2^5 + 385*T1^12*T2^5 + 
     39*T1^13*T2^5 - 132*T2^6 - 441*T1*T2^6 + 2486*T1^2*T2^6 - 
     538*T1^3*T2^6 - 13459*T1^4*T2^6 + 15974*T1^5*T2^6 - 7707*T1^6*T2^6 - 
     9645*T1^7*T2^6 + 11821*T1^8*T2^6 - 5118*T1^9*T2^6 - 6415*T1^10*T2^6 + 
     3862*T1^11*T2^6 - 186*T1^12*T2^6 - 273*T1^13*T2^6 + 42*T2^7 + 
     476*T1*T2^7 - 1016*T1^2*T2^7 - 3156*T1^3*T2^7 + 12197*T1^4*T2^7 - 
     3262*T1^5*T2^7 - 9645*T1^6*T2^7 + 17542*T1^7*T2^7 - 5020*T1^8*T2^7 - 
     7106*T1^9*T2^7 + 12262*T1^10*T2^7 - 2040*T1^11*T2^7 - 2000*T1^12*T2^7 + 
     722*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 - 
     356*T1^2*T2^8 + 3747*T1^3*T2^8 - 5503*T1^4*T2^8 - 6850*T1^5*T2^8 + 
     11821*T1^6*T2^8 - 5020*T1^7*T2^8 - 11724*T1^8*T2^8 + 15196*T1^9*T2^8 - 
     7757*T1^10*T2^8 - 4966*T1^11*T2^8 + 4705*T1^12*T2^8 - 607*T1^13*T2^8 - 
     302*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     371*T1^2*T2^9 - 950*T1^3*T2^9 - 2098*T1^4*T2^9 + 9996*T1^5*T2^9 - 
     5118*T1^6*T2^9 - 7106*T1^7*T2^9 + 15196*T1^8*T2^9 - 7366*T1^9*T2^9 - 
     4567*T1^10*T2^9 + 10406*T1^11*T2^9 - 4241*T1^12*T2^9 - 942*T1^13*T2^9 + 
     788*T1^14*T2^9 - 56*T1^15*T2^9 - 14*T1^16*T2^9 - 88*T1^2*T2^10 - 
     203*T1^3*T2^10 + 1700*T1^4*T2^10 - 1676*T1^5*T2^10 - 6415*T1^6*T2^10 + 
     12262*T1^7*T2^10 - 7757*T1^8*T2^10 - 4567*T1^9*T2^10 + 
     11771*T1^10*T2^10 - 8830*T1^11*T2^10 + 629*T1^12*T2^10 + 
     2724*T1^13*T2^10 - 972*T1^14*T2^10 - 35*T1^15*T2^10 + 44*T1^16*T2^10 + 
     117*T1^3*T2^11 - 161*T1^4*T2^11 - 1137*T1^5*T2^11 + 3862*T1^6*T2^11 - 
     2040*T1^7*T2^11 - 4966*T1^8*T2^11 + 10406*T1^9*T2^11 - 
     8830*T1^10*T2^11 + 1874*T1^11*T2^11 + 3393*T1^12*T2^11 - 
     3383*T1^13*T2^11 + 624*T1^14*T2^11 + 217*T1^15*T2^11 - 78*T1^16*T2^11 - 
     94*T1^4*T2^12 + 385*T1^5*T2^12 - 186*T1^6*T2^12 - 2000*T1^7*T2^12 + 
     4705*T1^8*T2^12 - 4241*T1^9*T2^12 + 629*T1^10*T2^12 + 3393*T1^11*T2^12 - 
     4119*T1^12*T2^12 + 2134*T1^13*T2^12 + 128*T1^14*T2^12 - 
     385*T1^15*T2^12 + 94*T1^16*T2^12 + 39*T1^5*T2^13 - 273*T1^6*T2^13 + 
     722*T1^7*T2^13 - 607*T1^8*T2^13 - 942*T1^9*T2^13 + 2724*T1^10*T2^13 - 
     3383*T1^11*T2^13 + 2134*T1^12*T2^13 - 393*T1^13*T2^13 - 
     620*T1^14*T2^13 + 392*T1^15*T2^13 - 78*T1^16*T2^13 + 49*T1^7*T2^14 - 
     302*T1^8*T2^14 + 788*T1^9*T2^14 - 972*T1^10*T2^14 + 624*T1^11*T2^14 + 
     128*T1^12*T2^14 - 620*T1^13*T2^14 + 622*T1^14*T2^14 - 259*T1^15*T2^14 + 
     44*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 56*T1^9*T2^15 - 
     35*T1^10*T2^15 + 217*T1^11*T2^15 - 385*T1^12*T2^15 + 392*T1^13*T2^15 - 
     259*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 44*T1^10*T2^16 - 78*T1^11*T2^16 + 94*T1^12*T2^16 - 
     78*T1^13*T2^16 + 44*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 399] -> 
  {(5 - 22*T + 48*T^2 - 61*T^3 + 48*T^4 - 22*T^5 + 5*T^6)/T^3, 
   (-230 + 1025*T1 - 2241*T1^2 + 2854*T1^3 - 2241*T1^4 + 1025*T1^5 - 
     230*T1^6 + 1025*T2 - 4082*T1*T2 + 7818*T1^2*T2 - 7997*T1^3*T2 + 
     3993*T1^4*T2 + 118*T1^5*T2 - 1112*T1^6*T2 + 475*T1^7*T2 - 2241*T2^2 + 
     7818*T1*T2^2 - 11977*T1^2*T2^2 + 6098*T1^3*T2^2 + 6249*T1^4*T2^2 - 
     12622*T1^5*T2^2 + 8663*T1^6*T2^2 - 2742*T1^7*T2^2 + 159*T1^8*T2^2 + 
     2854*T2^3 - 7997*T1*T2^3 + 6098*T1^2*T2^3 + 11031*T1^3*T2^3 - 
     27984*T1^4*T2^3 + 23070*T1^5*T2^3 - 2499*T1^6*T2^3 - 9310*T1^7*T2^3 + 
     6853*T1^8*T2^3 - 1721*T1^9*T2^3 - 2241*T2^4 + 3993*T1*T2^4 + 
     6249*T1^2*T2^4 - 27984*T1^3*T2^4 + 33540*T1^4*T2^4 - 2890*T1^5*T2^4 - 
     29856*T1^6*T2^4 + 28868*T1^7*T2^4 - 6719*T1^8*T2^4 - 3707*T1^9*T2^4 + 
     2559*T1^10*T2^4 + 1025*T2^5 + 118*T1*T2^5 - 12622*T1^2*T2^5 + 
     23070*T1^3*T2^5 - 2890*T1^4*T2^5 - 48378*T1^5*T2^5 + 63864*T1^6*T2^5 - 
     25162*T1^7*T2^5 - 16388*T1^8*T2^5 + 16034*T1^9*T2^5 - 3622*T1^10*T2^5 - 
     1725*T1^11*T2^5 - 230*T2^6 - 1112*T1*T2^6 + 8663*T1^2*T2^6 - 
     2499*T1^3*T2^6 - 29856*T1^4*T2^6 + 63864*T1^5*T2^6 - 30084*T1^6*T2^6 - 
     35900*T1^7*T2^6 + 57392*T1^8*T2^6 - 20097*T1^9*T2^6 - 3689*T1^10*T2^6 + 
     5268*T1^11*T2^6 + 520*T1^12*T2^6 + 475*T1*T2^7 - 2742*T1^2*T2^7 - 
     9310*T1^3*T2^7 + 28868*T1^4*T2^7 - 25162*T1^5*T2^7 - 35900*T1^6*T2^7 + 
     76342*T1^7*T2^7 - 47434*T1^8*T2^7 - 10590*T1^9*T2^7 + 19346*T1^10*T2^7 - 
     6482*T1^11*T2^7 - 2275*T1^12*T2^7 + 159*T1^2*T2^8 + 6853*T1^3*T2^8 - 
     6719*T1^4*T2^8 - 16388*T1^5*T2^8 + 57392*T1^6*T2^8 - 47434*T1^7*T2^8 - 
     6004*T1^8*T2^8 + 40464*T1^9*T2^8 - 19687*T1^10*T2^8 - 847*T1^11*T2^8 + 
     4959*T1^12*T2^8 - 1721*T1^3*T2^9 - 3707*T1^4*T2^9 + 16034*T1^5*T2^9 - 
     20097*T1^6*T2^9 - 10590*T1^7*T2^9 + 40464*T1^8*T2^9 - 33627*T1^9*T2^9 + 
     626*T1^10*T2^9 + 11143*T1^11*T2^9 - 6296*T1^12*T2^9 + 2559*T1^4*T2^10 - 
     3622*T1^5*T2^10 - 3689*T1^6*T2^10 + 19346*T1^7*T2^10 - 
     19687*T1^8*T2^10 + 626*T1^9*T2^10 + 16951*T1^10*T2^10 - 
     14182*T1^11*T2^10 + 4959*T1^12*T2^10 - 1725*T1^5*T2^11 + 
     5268*T1^6*T2^11 - 6482*T1^7*T2^11 - 847*T1^8*T2^11 + 11143*T1^9*T2^11 - 
     14182*T1^10*T2^11 + 8238*T1^11*T2^11 - 2275*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2275*T1^7*T2^12 + 4959*T1^8*T2^12 - 6296*T1^9*T2^12 + 
     4959*T1^10*T2^12 - 2275*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 400] -> 
  {(3 - 18*T + 48*T^2 - 65*T^3 + 48*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (-111 + 669*T1 - 1789*T1^2 + 2423*T1^3 - 1789*T1^4 + 669*T1^5 - 111*T1^6 + 
     669*T2 - 3526*T1*T2 + 7724*T1^2*T2 - 6414*T1^3*T2 - 312*T1^4*T2 + 
     4160*T1^5*T2 - 2392*T1^6*T2 + 507*T1^7*T2 - 1789*T2^2 + 7724*T1*T2^2 - 
     11263*T1^2*T2^2 - 4923*T1^3*T2^2 + 23337*T1^4*T2^2 - 18459*T1^5*T2^2 + 
     1697*T1^6*T2^2 + 2540*T1^7*T2^2 - 925*T1^8*T2^2 + 2423*T2^3 - 
     6414*T1*T2^3 - 4923*T1^2*T2^3 + 46629*T1^3*T2^3 - 53693*T1^4*T2^3 + 
     5329*T1^5*T2^3 + 29385*T1^6*T2^3 - 14859*T1^7*T2^3 + 1524*T1^8*T2^3 + 
     668*T1^9*T2^3 - 1789*T2^4 - 312*T1*T2^4 + 23337*T1^2*T2^4 - 
     53693*T1^3*T2^4 - 5234*T1^4*T2^4 + 96084*T1^5*T2^4 - 89294*T1^6*T2^4 + 
     14167*T1^7*T2^4 + 8865*T1^8*T2^4 - 3660*T1^9*T2^4 - 61*T1^10*T2^4 + 
     669*T2^5 + 4160*T1*T2^5 - 18459*T1^2*T2^5 + 5329*T1^3*T2^5 + 
     96084*T1^4*T2^5 - 142280*T1^5*T2^5 + 44878*T1^6*T2^5 + 53460*T1^7*T2^5 - 
     36017*T1^8*T2^5 + 5877*T1^9*T2^5 + 1244*T1^10*T2^5 - 141*T1^11*T2^5 - 
     111*T2^6 - 2392*T1*T2^6 + 1697*T1^2*T2^6 + 29385*T1^3*T2^6 - 
     89294*T1^4*T2^6 + 44878*T1^5*T2^6 + 80676*T1^6*T2^6 - 114350*T1^7*T2^6 + 
     36418*T1^8*T2^6 + 5139*T1^9*T2^6 - 5215*T1^10*T2^6 + 524*T1^11*T2^6 + 
     51*T1^12*T2^6 + 507*T1*T2^7 + 2540*T1^2*T2^7 - 14859*T1^3*T2^7 + 
     14167*T1^4*T2^7 + 53460*T1^5*T2^7 - 114350*T1^6*T2^7 + 72808*T1^7*T2^7 + 
     10836*T1^8*T2^7 - 27179*T1^9*T2^7 + 9477*T1^10*T2^7 - 376*T1^11*T2^7 - 
     303*T1^12*T2^7 - 925*T1^2*T2^8 + 1524*T1^3*T2^8 + 8865*T1^4*T2^8 - 
     36017*T1^5*T2^8 + 36418*T1^6*T2^8 + 10836*T1^7*T2^8 - 47642*T1^8*T2^8 + 
     31843*T1^9*T2^8 - 5607*T1^10*T2^8 - 1824*T1^11*T2^8 + 803*T1^12*T2^8 + 
     668*T1^3*T2^9 - 3660*T1^4*T2^9 + 5877*T1^5*T2^9 + 5139*T1^6*T2^9 - 
     27179*T1^7*T2^9 + 31843*T1^8*T2^9 - 12105*T1^9*T2^9 - 4059*T1^10*T2^9 + 
     4278*T1^11*T2^9 - 1087*T1^12*T2^9 - 61*T1^4*T2^10 + 1244*T1^5*T2^10 - 
     5215*T1^6*T2^10 + 9477*T1^7*T2^10 - 5607*T1^8*T2^10 - 4059*T1^9*T2^10 + 
     7745*T1^10*T2^10 - 3940*T1^11*T2^10 + 803*T1^12*T2^10 - 141*T1^5*T2^11 + 
     524*T1^6*T2^11 - 376*T1^7*T2^11 - 1824*T1^8*T2^11 + 4278*T1^9*T2^11 - 
     3940*T1^10*T2^11 + 1658*T1^11*T2^11 - 303*T1^12*T2^11 + 51*T1^6*T2^12 - 
     303*T1^7*T2^12 + 803*T1^8*T2^12 - 1087*T1^9*T2^12 + 803*T1^10*T2^12 - 
     303*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 401] -> 
  {(2 - 14*T + 38*T^2 - 51*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-31 + 217*T1 - 587*T1^2 + 787*T1^3 - 587*T1^4 + 217*T1^5 - 31*T1^6 + 
     217*T2 - 1358*T1*T2 + 2982*T1^2*T2 - 2464*T1^3*T2 + 28*T1^4*T2 + 
     1526*T1^5*T2 - 910*T1^6*T2 + 161*T1^7*T2 - 587*T2^2 + 2982*T1*T2^2 - 
     3495*T1^2*T2^2 - 4493*T1^3*T2^2 + 12209*T1^4*T2^2 - 10117*T1^5*T2^2 + 
     1977*T1^6*T2^2 + 854*T1^7*T2^2 - 283*T1^8*T2^2 + 787*T2^3 - 
     2464*T1*T2^3 - 4493*T1^2*T2^3 + 24120*T1^3*T2^3 - 26292*T1^4*T2^3 + 
     5144*T1^5*T2^3 + 12674*T1^6*T2^3 - 7609*T1^7*T2^3 + 756*T1^8*T2^3 + 
     175*T1^9*T2^3 - 587*T2^4 + 28*T1*T2^4 + 12209*T1^2*T2^4 - 
     26292*T1^3*T2^4 - 155*T1^4*T2^4 + 39793*T1^5*T2^4 - 42047*T1^6*T2^4 + 
     9612*T1^7*T2^4 + 3769*T1^8*T2^4 - 1372*T1^9*T2^4 + 21*T1^10*T2^4 + 
     217*T2^5 + 1526*T1*T2^5 - 10117*T1^2*T2^5 + 5144*T1^3*T2^5 + 
     39793*T1^4*T2^5 - 63448*T1^5*T2^5 + 28282*T1^6*T2^5 + 18285*T1^7*T2^5 - 
     17356*T1^8*T2^5 + 3031*T1^9*T2^5 + 294*T1^10*T2^5 - 63*T1^11*T2^5 - 
     31*T2^6 - 910*T1*T2^6 + 1977*T1^2*T2^6 + 12674*T1^3*T2^6 - 
     42047*T1^4*T2^6 + 28282*T1^5*T2^6 + 25512*T1^6*T2^6 - 50686*T1^7*T2^6 + 
     22849*T1^8*T2^6 + 810*T1^9*T2^6 - 2311*T1^10*T2^6 + 322*T1^11*T2^6 + 
     17*T1^12*T2^6 + 161*T1*T2^7 + 854*T1^2*T2^7 - 7609*T1^3*T2^7 + 
     9612*T1^4*T2^7 + 18285*T1^5*T2^7 - 50686*T1^6*T2^7 + 41044*T1^7*T2^7 - 
     3223*T1^8*T2^7 - 12888*T1^9*T2^7 + 5539*T1^10*T2^7 - 378*T1^11*T2^7 - 
     119*T1^12*T2^7 - 283*T1^2*T2^8 + 756*T1^3*T2^8 + 3769*T1^4*T2^8 - 
     17356*T1^5*T2^8 + 22849*T1^6*T2^8 - 3223*T1^7*T2^8 - 19043*T1^8*T2^8 + 
     18548*T1^9*T2^8 - 4671*T1^10*T2^8 - 644*T1^11*T2^8 + 325*T1^12*T2^8 + 
     175*T1^3*T2^9 - 1372*T1^4*T2^9 + 3031*T1^5*T2^9 + 810*T1^6*T2^9 - 
     12888*T1^7*T2^9 + 18548*T1^8*T2^9 - 10636*T1^9*T2^9 - 85*T1^10*T2^9 + 
     1848*T1^11*T2^9 - 437*T1^12*T2^9 + 21*T1^4*T2^10 + 294*T1^5*T2^10 - 
     2311*T1^6*T2^10 + 5539*T1^7*T2^10 - 4671*T1^8*T2^10 - 85*T1^9*T2^10 + 
     3161*T1^10*T2^10 - 1834*T1^11*T2^10 + 325*T1^12*T2^10 - 63*T1^5*T2^11 + 
     322*T1^6*T2^11 - 378*T1^7*T2^11 - 644*T1^8*T2^11 + 1848*T1^9*T2^11 - 
     1834*T1^10*T2^11 + 770*T1^11*T2^11 - 119*T1^12*T2^11 + 17*T1^6*T2^12 - 
     119*T1^7*T2^12 + 325*T1^8*T2^12 - 437*T1^9*T2^12 + 325*T1^10*T2^12 - 
     119*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 402] -> 
  {-((1 - 8*T + 29*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 145*T1^2 + 300*T1^3 - 375*T1^4 + 300*T1^5 - 
      145*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 904*T1^2*T2 - 
      1472*T1^3*T2 + 1080*T1^4*T2 - 760*T1^6*T2 + 608*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 145*T2^2 + 904*T1*T2^2 - 2243*T1^2*T2^2 + 1970*T1^3*T2^2 + 
      1962*T1^4*T2^2 - 5283*T1^5*T2^2 + 4630*T1^6*T2^2 - 1046*T1^7*T2^2 - 
      619*T1^8*T2^2 + 440*T1^9*T2^2 - 87*T1^10*T2^2 + 300*T2^3 - 
      1472*T1*T2^3 + 1970*T1^2*T2^3 + 3448*T1^3*T2^3 - 13900*T1^4*T2^3 + 
      13313*T1^5*T2^3 - 1987*T1^6*T2^3 - 8192*T1^7*T2^3 + 5844*T1^8*T2^3 - 
      1162*T1^9*T2^3 - 264*T1^10*T2^3 + 120*T1^11*T2^3 - 375*T2^4 + 
      1080*T1*T2^4 + 1962*T1^2*T2^4 - 13900*T1^3*T2^4 + 21494*T1^4*T2^4 + 
      2162*T1^5*T2^4 - 28946*T1^6*T2^4 + 30722*T1^7*T2^4 - 6226*T1^8*T2^4 - 
      5020*T1^9*T2^4 + 2982*T1^10*T2^4 - 360*T1^11*T2^4 - 75*T1^12*T2^4 + 
      300*T2^5 - 5283*T1^2*T2^5 + 13313*T1^3*T2^5 + 2162*T1^4*T2^5 - 
      53512*T1^5*T2^5 + 64329*T1^6*T2^5 - 21471*T1^7*T2^5 - 29752*T1^8*T2^5 + 
      25082*T1^9*T2^5 - 5227*T1^10*T2^5 - 1323*T1^11*T2^5 + 600*T1^12*T2^5 - 
      145*T2^6 - 760*T1*T2^6 + 4630*T1^2*T2^6 - 1987*T1^3*T2^6 - 
      28946*T1^4*T2^6 + 64329*T1^5*T2^6 - 12928*T1^6*T2^6 - 68674*T1^7*T2^6 + 
      92204*T1^8*T2^6 - 30231*T1^9*T2^6 - 9296*T1^10*T2^6 + 8453*T1^11*T2^6 - 
      1334*T1^12*T2^6 - 232*T1^13*T2^6 + 29*T1^14*T2^6 + 40*T2^7 + 
      608*T1*T2^7 - 1046*T1^2*T2^7 - 8192*T1^3*T2^7 + 30722*T1^4*T2^7 - 
      21471*T1^5*T2^7 - 68674*T1^6*T2^7 + 119356*T1^7*T2^7 - 
      65980*T1^8*T2^7 - 32298*T1^9*T2^7 + 46809*T1^10*T2^7 - 
      14758*T1^11*T2^7 - 1212*T1^12*T2^7 + 1390*T1^13*T2^7 - 104*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 619*T1^2*T2^8 + 5844*T1^3*T2^8 - 
      6226*T1^4*T2^8 - 29752*T1^5*T2^8 + 92204*T1^6*T2^8 - 65980*T1^7*T2^8 - 
      37368*T1^8*T2^8 + 100980*T1^9*T2^8 - 56068*T1^10*T2^8 - 
      1672*T1^11*T2^8 + 11290*T1^12*T2^8 - 3212*T1^13*T2^8 - 95*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 440*T1^2*T2^9 - 
      1162*T1^3*T2^9 - 5020*T1^4*T2^9 + 25082*T1^5*T2^9 - 30231*T1^6*T2^9 - 
      32298*T1^7*T2^9 + 100980*T1^8*T2^9 - 84356*T1^9*T2^9 + 
      4078*T1^10*T2^9 + 38049*T1^11*T2^9 - 20398*T1^12*T2^9 + 
      1960*T1^13*T2^9 + 1274*T1^14*T2^9 - 272*T1^15*T2^9 - 24*T1^16*T2^9 - 
      87*T1^2*T2^10 - 264*T1^3*T2^10 + 2982*T1^4*T2^10 - 5227*T1^5*T2^10 - 
      9296*T1^6*T2^10 + 46809*T1^7*T2^10 - 56068*T1^8*T2^10 + 
      4078*T1^9*T2^10 + 49064*T1^10*T2^10 - 47751*T1^11*T2^10 + 
      10354*T1^12*T2^10 + 5213*T1^13*T2^10 - 2982*T1^14*T2^10 + 
      264*T1^15*T2^10 + 87*T1^16*T2^10 + 120*T1^3*T2^11 - 360*T1^4*T2^11 - 
      1323*T1^5*T2^11 + 8453*T1^6*T2^11 - 14758*T1^7*T2^11 - 
      1672*T1^8*T2^11 + 38049*T1^9*T2^11 - 47751*T1^10*T2^11 + 
      22088*T1^11*T2^11 + 8162*T1^12*T2^11 - 10087*T1^13*T2^11 + 
      2637*T1^14*T2^11 + 240*T1^15*T2^11 - 180*T1^16*T2^11 - 75*T1^4*T2^12 + 
      600*T1^5*T2^12 - 1334*T1^6*T2^12 - 1212*T1^7*T2^12 + 11290*T1^8*T2^12 - 
      20398*T1^9*T2^12 + 10354*T1^10*T2^12 + 8162*T1^11*T2^12 - 
      16430*T1^12*T2^12 + 7668*T1^13*T2^12 - 314*T1^14*T2^12 - 
      840*T1^15*T2^12 + 225*T1^16*T2^12 - 232*T1^6*T2^13 + 1390*T1^7*T2^13 - 
      3212*T1^8*T2^13 + 1960*T1^9*T2^13 + 5213*T1^10*T2^13 - 
      10087*T1^11*T2^13 + 7668*T1^12*T2^13 - 816*T1^13*T2^13 - 
      1742*T1^14*T2^13 + 976*T1^15*T2^13 - 180*T1^16*T2^13 + 29*T1^6*T2^14 - 
      104*T1^7*T2^14 - 95*T1^8*T2^14 + 1274*T1^9*T2^14 - 2982*T1^10*T2^14 + 
      2637*T1^11*T2^14 - 314*T1^12*T2^14 - 1742*T1^13*T2^14 + 
      1529*T1^14*T2^14 - 568*T1^15*T2^14 + 87*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 272*T1^9*T2^15 + 264*T1^10*T2^15 + 240*T1^11*T2^15 - 
      840*T1^12*T2^15 + 976*T1^13*T2^15 - 568*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 87*T1^10*T2^16 - 
      180*T1^11*T2^16 + 225*T1^12*T2^16 - 180*T1^13*T2^16 + 87*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 403] -> 
  {-((3 - 19*T + 49*T^2 - 67*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((-84 + 533*T1 - 1374*T1^2 + 1880*T1^3 - 1374*T1^4 + 533*T1^5 - 84*T1^6 + 
      533*T2 - 3021*T1*T2 + 6420*T1^2*T2 - 6002*T1^3*T2 + 610*T1^4*T2 + 
      2544*T1^5*T2 - 1767*T1^6*T2 + 362*T1^7*T2 - 1374*T2^2 + 6420*T1*T2^2 - 
      8354*T1^2*T2^2 - 3768*T1^3*T2^2 + 20960*T1^4*T2^2 - 17880*T1^5*T2^2 + 
      5170*T1^6*T2^2 + 834*T1^7*T2^2 - 492*T1^8*T2^2 + 1880*T2^3 - 
      6002*T1*T2^3 - 3768*T1^2*T2^3 + 35032*T1^3*T2^3 - 51050*T1^4*T2^3 + 
      15942*T1^5*T2^3 + 13934*T1^6*T2^3 - 12833*T1^7*T2^3 + 2662*T1^8*T2^3 + 
      71*T1^9*T2^3 - 1374*T2^4 + 610*T1*T2^4 + 20960*T1^2*T2^4 - 
      51050*T1^3*T2^4 + 30461*T1^4*T2^4 + 46577*T1^5*T2^4 - 64699*T1^6*T2^4 + 
      26670*T1^7*T2^4 + 1398*T1^8*T2^4 - 2924*T1^9*T2^4 + 390*T1^10*T2^4 + 
      533*T2^5 + 2544*T1*T2^5 - 17880*T1^2*T2^5 + 15942*T1^3*T2^5 + 
      46577*T1^4*T2^5 - 119033*T1^5*T2^5 + 78141*T1^6*T2^5 + 4878*T1^7*T2^5 - 
      29594*T1^8*T2^5 + 11373*T1^9*T2^5 - 420*T1^10*T2^5 - 322*T1^11*T2^5 - 
      84*T2^6 - 1767*T1*T2^6 + 5170*T1^2*T2^6 + 13934*T1^3*T2^6 - 
      64699*T1^4*T2^6 + 78141*T1^5*T2^6 + 11484*T1^6*T2^6 - 86957*T1^7*T2^6 + 
      62091*T1^8*T2^6 - 10166*T1^9*T2^6 - 5214*T1^10*T2^6 + 1539*T1^11*T2^6 + 
      78*T1^12*T2^6 + 362*T1*T2^7 + 834*T1^2*T2^7 - 12833*T1^3*T2^7 + 
      26670*T1^4*T2^7 + 4878*T1^5*T2^7 - 86957*T1^6*T2^7 + 110217*T1^7*T2^7 - 
      36821*T1^8*T2^7 - 18866*T1^9*T2^7 + 16420*T1^10*T2^7 - 
      2130*T1^11*T2^7 - 493*T1^12*T2^7 - 492*T1^2*T2^8 + 2662*T1^3*T2^8 + 
      1398*T1^4*T2^8 - 29594*T1^5*T2^8 + 62091*T1^6*T2^8 - 36821*T1^7*T2^8 - 
      33069*T1^8*T2^8 + 48126*T1^9*T2^8 - 18164*T1^10*T2^8 - 872*T1^11*T2^8 + 
      1272*T1^12*T2^8 + 71*T1^3*T2^9 - 2924*T1^4*T2^9 + 11373*T1^5*T2^9 - 
      10166*T1^6*T2^9 - 18866*T1^7*T2^9 + 48126*T1^8*T2^9 - 31264*T1^9*T2^9 + 
      2308*T1^10*T2^9 + 5740*T1^11*T2^9 - 1738*T1^12*T2^9 + 390*T1^4*T2^10 - 
      420*T1^5*T2^10 - 5214*T1^6*T2^10 + 16420*T1^7*T2^10 - 
      18164*T1^8*T2^10 + 2308*T1^9*T2^10 + 8310*T1^10*T2^10 - 
      6006*T1^11*T2^10 + 1272*T1^12*T2^10 - 322*T1^5*T2^11 + 
      1539*T1^6*T2^11 - 2130*T1^7*T2^11 - 872*T1^8*T2^11 + 5740*T1^9*T2^11 - 
      6006*T1^10*T2^11 + 2793*T1^11*T2^11 - 493*T1^12*T2^11 + 78*T1^6*T2^12 - 
      493*T1^7*T2^12 + 1272*T1^8*T2^12 - 1738*T1^9*T2^12 + 1272*T1^10*T2^12 - 
      493*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 404] -> 
  {(3 - 17*T + 37*T^2 - 45*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3, 
   (-57 + 328*T1 - 721*T1^2 + 879*T1^3 - 721*T1^4 + 328*T1^5 - 57*T1^6 + 
     328*T2 - 1715*T1*T2 + 3136*T1^2*T2 - 2801*T1^3*T2 + 1381*T1^4*T2 + 
     382*T1^5*T2 - 695*T1^6*T2 + 175*T1^7*T2 - 721*T2^2 + 3136*T1*T2^2 - 
     3238*T1^2*T2^2 - 1663*T1^3*T2^2 + 6010*T1^4*T2^2 - 7879*T1^5*T2^2 + 
     4310*T1^6*T2^2 - 638*T1^7*T2^2 - 55*T1^8*T2^2 + 879*T2^3 - 
     2801*T1*T2^3 - 1663*T1^2*T2^3 + 12536*T1^3*T2^3 - 16428*T1^4*T2^3 + 
     13280*T1^5*T2^3 - 1990*T1^6*T2^3 - 4068*T1^7*T2^3 + 2197*T1^8*T2^3 - 
     336*T1^9*T2^3 - 721*T2^4 + 1381*T1*T2^4 + 6010*T1^2*T2^4 - 
     16428*T1^3*T2^4 + 12190*T1^4*T2^4 - 58*T1^5*T2^4 - 15554*T1^6*T2^4 + 
     15612*T1^7*T2^4 - 3572*T1^8*T2^4 - 1577*T1^9*T2^4 + 611*T1^10*T2^4 + 
     328*T2^5 + 382*T1*T2^5 - 7879*T1^2*T2^5 + 13280*T1^3*T2^5 - 
     58*T1^4*T2^5 - 16145*T1^5*T2^5 + 23587*T1^6*T2^5 - 8827*T1^7*T2^5 - 
     11764*T1^8*T2^5 + 9770*T1^9*T2^5 - 944*T1^10*T2^5 - 437*T1^11*T2^5 - 
     57*T2^6 - 695*T1*T2^6 + 4310*T1^2*T2^6 - 1990*T1^3*T2^6 - 
     15554*T1^4*T2^6 + 23587*T1^5*T2^6 - 10068*T1^6*T2^6 - 14691*T1^7*T2^6 + 
     27516*T1^8*T2^6 - 8194*T1^9*T2^6 - 5130*T1^10*T2^6 + 1855*T1^11*T2^6 + 
     105*T1^12*T2^6 + 175*T1*T2^7 - 638*T1^2*T2^7 - 4068*T1^3*T2^7 + 
     15612*T1^4*T2^7 - 8827*T1^5*T2^7 - 14691*T1^6*T2^7 + 25041*T1^7*T2^7 - 
     17596*T1^8*T2^7 - 9432*T1^9*T2^7 + 13581*T1^10*T2^7 - 1964*T1^11*T2^7 - 
     590*T1^12*T2^7 - 55*T1^2*T2^8 + 2197*T1^3*T2^8 - 3572*T1^4*T2^8 - 
     11764*T1^5*T2^8 + 27516*T1^6*T2^8 - 17596*T1^7*T2^8 - 228*T1^8*T2^8 + 
     20276*T1^9*T2^8 - 13154*T1^10*T2^8 - 761*T1^11*T2^8 + 1277*T1^12*T2^8 - 
     336*T1^3*T2^9 - 1577*T1^4*T2^9 + 9770*T1^5*T2^9 - 8194*T1^6*T2^9 - 
     9432*T1^7*T2^9 + 20276*T1^8*T2^9 - 22720*T1^9*T2^9 + 7365*T1^10*T2^9 + 
     3421*T1^11*T2^9 - 1551*T1^12*T2^9 + 611*T1^4*T2^10 - 944*T1^5*T2^10 - 
     5130*T1^6*T2^10 + 13581*T1^7*T2^10 - 13154*T1^8*T2^10 + 
     7365*T1^9*T2^10 + 2418*T1^10*T2^10 - 4718*T1^11*T2^10 + 
     1277*T1^12*T2^10 - 437*T1^5*T2^11 + 1855*T1^6*T2^11 - 1964*T1^7*T2^11 - 
     761*T1^8*T2^11 + 3421*T1^9*T2^11 - 4718*T1^10*T2^11 + 2875*T1^11*T2^11 - 
     590*T1^12*T2^11 + 105*T1^6*T2^12 - 590*T1^7*T2^12 + 1277*T1^8*T2^12 - 
     1551*T1^9*T2^12 + 1277*T1^10*T2^12 - 590*T1^11*T2^12 + 105*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 405] -> 
  {(3 - 19*T + 45*T^2 - 57*T^3 + 45*T^4 - 19*T^5 + 3*T^6)/T^3, 
   (-111 + 704*T1 - 1663*T1^2 + 2101*T1^3 - 1663*T1^4 + 704*T1^5 - 111*T1^6 + 
     704*T2 - 3933*T1*T2 + 7170*T1^2*T2 - 5348*T1^3*T2 + 466*T1^4*T2 + 
     3522*T1^5*T2 - 2679*T1^6*T2 + 533*T1^7*T2 - 1663*T2^2 + 7170*T1*T2^2 - 
     4347*T1^2*T2^2 - 13717*T1^3*T2^2 + 26297*T1^4*T2^2 - 23977*T1^5*T2^2 + 
     6993*T1^6*T2^2 + 2040*T1^7*T2^2 - 853*T1^8*T2^2 + 2101*T2^3 - 
     5348*T1*T2^3 - 13717*T1^2*T2^3 + 46160*T1^3*T2^3 - 42355*T1^4*T2^3 + 
     12023*T1^5*T2^3 + 22220*T1^6*T2^3 - 17992*T1^7*T2^3 + 1834*T1^8*T2^3 + 
     562*T1^9*T2^3 - 1663*T2^4 + 466*T1*T2^4 + 26297*T1^2*T2^4 - 
     42355*T1^3*T2^4 - 3520*T1^4*T2^4 + 50704*T1^5*T2^4 - 63148*T1^6*T2^4 + 
     17837*T1^7*T2^4 + 9443*T1^8*T2^4 - 3296*T1^9*T2^4 - 43*T1^10*T2^4 + 
     704*T2^5 + 3522*T1*T2^5 - 23977*T1^2*T2^5 + 12023*T1^3*T2^5 + 
     50704*T1^4*T2^5 - 69235*T1^5*T2^5 + 34505*T1^6*T2^5 + 27619*T1^7*T2^5 - 
     30727*T1^8*T2^5 + 4238*T1^9*T2^5 + 1242*T1^10*T2^5 - 151*T1^11*T2^5 - 
     111*T2^6 - 2679*T1*T2^6 + 6993*T1^2*T2^6 + 22220*T1^3*T2^6 - 
     63148*T1^4*T2^6 + 34505*T1^5*T2^6 + 25080*T1^6*T2^6 - 59773*T1^7*T2^6 + 
     27074*T1^8*T2^6 + 7172*T1^9*T2^6 - 5863*T1^10*T2^6 + 627*T1^11*T2^6 + 
     51*T1^12*T2^6 + 533*T1*T2^7 + 2040*T1^2*T2^7 - 17992*T1^3*T2^7 + 
     17837*T1^4*T2^7 + 27619*T1^5*T2^7 - 59773*T1^6*T2^7 + 43967*T1^7*T2^7 + 
     4534*T1^8*T2^7 - 24913*T1^9*T2^7 + 10223*T1^10*T2^7 - 240*T1^11*T2^7 - 
     322*T1^12*T2^7 - 853*T1^2*T2^8 + 1834*T1^3*T2^8 + 9443*T1^4*T2^8 - 
     30727*T1^5*T2^8 + 27074*T1^6*T2^8 + 4534*T1^7*T2^8 - 32554*T1^8*T2^8 + 
     29465*T1^9*T2^8 - 7411*T1^10*T2^8 - 1928*T1^11*T2^8 + 767*T1^12*T2^8 + 
     562*T1^3*T2^9 - 3296*T1^4*T2^9 + 4238*T1^5*T2^9 + 7172*T1^6*T2^9 - 
     24913*T1^7*T2^9 + 29465*T1^8*T2^9 - 16768*T1^9*T2^9 - 37*T1^10*T2^9 + 
     3886*T1^11*T2^9 - 977*T1^12*T2^9 - 43*T1^4*T2^10 + 1242*T1^5*T2^10 - 
     5863*T1^6*T2^10 + 10223*T1^7*T2^10 - 7411*T1^8*T2^10 - 37*T1^9*T2^10 + 
     5477*T1^10*T2^10 - 3888*T1^11*T2^10 + 767*T1^12*T2^10 - 151*T1^5*T2^11 + 
     627*T1^6*T2^11 - 240*T1^7*T2^11 - 1928*T1^8*T2^11 + 3886*T1^9*T2^11 - 
     3888*T1^10*T2^11 + 1881*T1^11*T2^11 - 322*T1^12*T2^11 + 51*T1^6*T2^12 - 
     322*T1^7*T2^12 + 767*T1^8*T2^12 - 977*T1^9*T2^12 + 767*T1^10*T2^12 - 
     322*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 406] -> 
  {(2 - 16*T + 43*T^2 - 57*T^3 + 43*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-33 + 263*T1 - 703*T1^2 + 929*T1^3 - 703*T1^4 + 263*T1^5 - 33*T1^6 + 
     263*T2 - 1898*T1*T2 + 4024*T1^2*T2 - 3182*T1^3*T2 + 18*T1^4*T2 + 
     2136*T1^5*T2 - 1322*T1^6*T2 + 199*T1^7*T2 - 703*T2^2 + 4024*T1*T2^2 - 
     2750*T1^2*T2^2 - 11008*T1^3*T2^2 + 21924*T1^4*T2^2 - 18060*T1^5*T2^2 + 
     4302*T1^6*T2^2 + 1272*T1^7*T2^2 - 359*T1^8*T2^2 + 929*T2^3 - 
     3182*T1*T2^3 - 11008*T1^2*T2^3 + 41434*T1^3*T2^3 - 40726*T1^4*T2^3 + 
     7896*T1^5*T2^3 + 21020*T1^6*T2^3 - 13330*T1^7*T2^3 + 914*T1^8*T2^3 + 
     245*T1^9*T2^3 - 703*T2^4 + 18*T1*T2^4 + 21924*T1^2*T2^4 - 
     40726*T1^3*T2^4 - 3853*T1^4*T2^4 + 59855*T1^5*T2^4 - 64533*T1^6*T2^4 + 
     14450*T1^7*T2^4 + 7532*T1^8*T2^4 - 1838*T1^9*T2^4 - 15*T1^10*T2^4 + 
     263*T2^5 + 2136*T1*T2^5 - 18060*T1^2*T2^5 + 7896*T1^3*T2^5 + 
     59855*T1^4*T2^5 - 87485*T1^5*T2^5 + 38719*T1^6*T2^5 + 30142*T1^7*T2^5 - 
     27618*T1^8*T2^5 + 3182*T1^9*T2^5 + 568*T1^10*T2^5 - 57*T1^11*T2^5 - 
     33*T2^6 - 1322*T1*T2^6 + 4302*T1^2*T2^6 + 21020*T1^3*T2^6 - 
     64533*T1^4*T2^6 + 38719*T1^5*T2^6 + 34812*T1^6*T2^6 - 71299*T1^7*T2^6 + 
     29749*T1^8*T2^6 + 4516*T1^9*T2^6 - 3654*T1^10*T2^6 + 342*T1^11*T2^6 + 
     15*T1^12*T2^6 + 199*T1*T2^7 + 1272*T1^2*T2^7 - 13330*T1^3*T2^7 + 
     14450*T1^4*T2^7 + 30142*T1^5*T2^7 - 71299*T1^6*T2^7 + 54905*T1^7*T2^7 + 
     429*T1^8*T2^7 - 21064*T1^9*T2^7 + 7912*T1^10*T2^7 - 296*T1^11*T2^7 - 
     121*T1^12*T2^7 - 359*T1^2*T2^8 + 914*T1^3*T2^8 + 7532*T1^4*T2^8 - 
     27618*T1^5*T2^8 + 29749*T1^6*T2^8 + 429*T1^7*T2^8 - 30931*T1^8*T2^8 + 
     27558*T1^9*T2^8 - 6860*T1^10*T2^8 - 942*T1^11*T2^8 + 329*T1^12*T2^8 + 
     245*T1^3*T2^9 - 1838*T1^4*T2^9 + 3182*T1^5*T2^9 + 4516*T1^6*T2^9 - 
     21064*T1^7*T2^9 + 27558*T1^8*T2^9 - 15898*T1^9*T2^9 + 860*T1^10*T2^9 + 
     2258*T1^11*T2^9 - 439*T1^12*T2^9 - 15*T1^4*T2^10 + 568*T1^5*T2^10 - 
     3654*T1^6*T2^10 + 7912*T1^7*T2^10 - 6860*T1^8*T2^10 + 860*T1^9*T2^10 + 
     3398*T1^10*T2^10 - 2184*T1^11*T2^10 + 329*T1^12*T2^10 - 57*T1^5*T2^11 + 
     342*T1^6*T2^11 - 296*T1^7*T2^11 - 942*T1^8*T2^11 + 2258*T1^9*T2^11 - 
     2184*T1^10*T2^11 + 918*T1^11*T2^11 - 121*T1^12*T2^11 + 15*T1^6*T2^12 - 
     121*T1^7*T2^12 + 329*T1^8*T2^12 - 439*T1^9*T2^12 + 329*T1^10*T2^12 - 
     121*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 407] -> 
  {(3 - 21*T + 60*T^2 - 83*T^3 + 60*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-51 + 357*T1 - 1021*T1^2 + 1415*T1^3 - 1021*T1^4 + 357*T1^5 - 51*T1^6 + 
     357*T2 - 2329*T1*T2 + 5964*T1^2*T2 - 6532*T1^3*T2 + 2477*T1^4*T2 + 
     861*T1^5*T2 - 817*T1^6*T2 + 168*T1^7*T2 - 1021*T2^2 + 5964*T1*T2^2 - 
     12179*T1^2*T2^2 + 4596*T1^3*T2^2 + 13015*T1^4*T2^2 - 17724*T1^5*T2^2 + 
     8341*T1^6*T2^2 - 1596*T1^7*T2^2 + 59*T1^8*T2^2 + 1415*T2^3 - 
     6532*T1*T2^3 + 4596*T1^2*T2^3 + 29343*T1^3*T2^3 - 67020*T1^4*T2^3 + 
     52653*T1^5*T2^3 - 8475*T1^6*T2^3 - 9984*T1^7*T2^3 + 5375*T1^8*T2^3 - 
     826*T1^9*T2^3 - 1021*T2^4 + 2477*T1*T2^4 + 13015*T1^2*T2^4 - 
     67020*T1^3*T2^4 + 94795*T1^4*T2^4 - 13507*T1^5*T2^4 - 80297*T1^6*T2^4 + 
     71922*T1^7*T2^4 - 16991*T1^8*T2^4 - 2185*T1^9*T2^4 + 1139*T1^10*T2^4 + 
     357*T2^5 + 861*T1*T2^5 - 17724*T1^2*T2^5 + 52653*T1^3*T2^5 - 
     13507*T1^4*T2^5 - 165233*T1^5*T2^5 + 248287*T1^6*T2^5 - 
     110707*T1^7*T2^5 - 28482*T1^8*T2^5 + 27816*T1^9*T2^5 - 3864*T1^10*T2^5 - 
     588*T1^11*T2^5 - 51*T2^6 - 817*T1*T2^6 + 8341*T1^2*T2^6 - 
     8475*T1^3*T2^6 - 80297*T1^4*T2^6 + 248287*T1^5*T2^6 - 177012*T1^6*T2^6 - 
     98699*T1^7*T2^6 + 186931*T1^8*T2^6 - 58317*T1^9*T2^6 - 3863*T1^10*T2^6 + 
     3341*T1^11*T2^6 + 111*T1^12*T2^6 + 168*T1*T2^7 - 1596*T1^2*T2^7 - 
     9984*T1^3*T2^7 + 71922*T1^4*T2^7 - 110707*T1^5*T2^7 - 98699*T1^6*T2^7 + 
     314821*T1^7*T2^7 - 207907*T1^8*T2^7 - 9213*T1^9*T2^7 + 
     35556*T1^10*T2^7 - 6321*T1^11*T2^7 - 777*T1^12*T2^7 + 59*T1^2*T2^8 + 
     5375*T1^3*T2^8 - 16991*T1^4*T2^8 - 28482*T1^5*T2^8 + 186931*T1^6*T2^8 - 
     207907*T1^7*T2^8 + 11839*T1^8*T2^8 + 110460*T1^9*T2^8 - 
     46997*T1^10*T2^8 + 713*T1^11*T2^8 + 2219*T1^12*T2^8 - 826*T1^3*T2^9 - 
     2185*T1^4*T2^9 + 27816*T1^5*T2^9 - 58317*T1^6*T2^9 - 9213*T1^7*T2^9 + 
     110460*T1^8*T2^9 - 96135*T1^9*T2^9 + 13236*T1^10*T2^9 + 
     9722*T1^11*T2^9 - 3067*T1^12*T2^9 + 1139*T1^4*T2^10 - 3864*T1^5*T2^10 - 
     3863*T1^6*T2^10 + 35556*T1^7*T2^10 - 46997*T1^8*T2^10 + 
     13236*T1^9*T2^10 + 16657*T1^10*T2^10 - 11424*T1^11*T2^10 + 
     2219*T1^12*T2^10 - 588*T1^5*T2^11 + 3341*T1^6*T2^11 - 6321*T1^7*T2^11 + 
     713*T1^8*T2^11 + 9722*T1^9*T2^11 - 11424*T1^10*T2^11 + 
     4853*T1^11*T2^11 - 777*T1^12*T2^11 + 111*T1^6*T2^12 - 777*T1^7*T2^12 + 
     2219*T1^8*T2^12 - 3067*T1^9*T2^12 + 2219*T1^10*T2^12 - 777*T1^11*T2^12 + 
     111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 408] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(5 - 9*T + 5*T^2))/T^3), 
   -((-645 + 3715*T1 - 8392*T1^2 + 10781*T1^3 - 8392*T1^4 + 3715*T1^5 - 
      645*T1^6 + 3715*T2 - 18431*T1*T2 + 31236*T1^2*T2 - 23391*T1^3*T2 - 
      1496*T1^4*T2 + 17461*T1^5*T2 - 13501*T1^6*T2 + 2990*T1^7*T2 - 
      8392*T2^2 + 31236*T1*T2^2 - 15826*T1^2*T2^2 - 53365*T1^3*T2^2 + 
      111648*T1^4*T2^2 - 90325*T1^5*T2^2 + 24434*T1^6*T2^2 + 
      12096*T1^7*T2^2 - 5092*T1^8*T2^2 + 10781*T2^3 - 23391*T1*T2^3 - 
      53365*T1^2*T2^3 + 161281*T1^3*T2^3 - 155261*T1^4*T2^3 + 
      12628*T1^5*T2^3 + 94201*T1^6*T2^3 - 72439*T1^7*T2^3 + 4014*T1^8*T2^3 + 
      4406*T1^9*T2^3 - 8392*T2^4 - 1496*T1*T2^4 + 111648*T1^2*T2^4 - 
      155261*T1^3*T2^4 + 9146*T1^4*T2^4 + 189224*T1^5*T2^4 - 
      186414*T1^6*T2^4 + 33269*T1^7*T2^4 + 55798*T1^8*T2^4 - 
      15126*T1^9*T2^4 - 1792*T1^10*T2^4 + 3715*T2^5 + 17461*T1*T2^5 - 
      90325*T1^2*T2^5 + 12628*T1^3*T2^5 + 189224*T1^4*T2^5 - 
      259503*T1^5*T2^5 + 66767*T1^6*T2^5 + 125204*T1^7*T2^5 - 
      113979*T1^8*T2^5 + 293*T1^9*T2^5 + 9776*T1^10*T2^5 + 90*T1^11*T2^5 - 
      645*T2^6 - 13501*T1*T2^6 + 24434*T1^2*T2^6 + 94201*T1^3*T2^6 - 
      186414*T1^4*T2^6 + 66767*T1^5*T2^6 + 171528*T1^6*T2^6 - 
      220251*T1^7*T2^6 + 68978*T1^8*T2^6 + 50827*T1^9*T2^6 - 
      19662*T1^10*T2^6 - 1031*T1^11*T2^6 + 105*T1^12*T2^6 + 2990*T1*T2^7 + 
      12096*T1^2*T2^7 - 72439*T1^3*T2^7 + 33269*T1^4*T2^7 + 
      125204*T1^5*T2^7 - 220251*T1^6*T2^7 + 106019*T1^7*T2^7 + 
      61184*T1^8*T2^7 - 93338*T1^9*T2^7 + 18179*T1^10*T2^7 + 
      4411*T1^11*T2^7 - 635*T1^12*T2^7 - 5092*T1^2*T2^8 + 4014*T1^3*T2^8 + 
      55798*T1^4*T2^8 - 113979*T1^5*T2^8 + 68978*T1^6*T2^8 + 
      61184*T1^7*T2^8 - 126582*T1^8*T2^8 + 74551*T1^9*T2^8 - 52*T1^10*T2^8 - 
      9616*T1^11*T2^8 + 1508*T1^12*T2^8 + 4406*T1^3*T2^9 - 15126*T1^4*T2^9 + 
      293*T1^5*T2^9 + 50827*T1^6*T2^9 - 93338*T1^7*T2^9 + 74551*T1^8*T2^9 - 
      16253*T1^9*T2^9 - 18781*T1^10*T2^9 + 12279*T1^11*T2^9 - 
      1969*T1^12*T2^9 - 1792*T1^4*T2^10 + 9776*T1^5*T2^10 - 
      19662*T1^6*T2^10 + 18179*T1^7*T2^10 - 52*T1^8*T2^10 - 
      18781*T1^9*T2^10 + 20598*T1^10*T2^10 - 9364*T1^11*T2^10 + 
      1508*T1^12*T2^10 + 90*T1^5*T2^11 - 1031*T1^6*T2^11 + 4411*T1^7*T2^11 - 
      9616*T1^8*T2^11 + 12279*T1^9*T2^11 - 9364*T1^10*T2^11 + 
      3899*T1^11*T2^11 - 635*T1^12*T2^11 + 105*T1^6*T2^12 - 635*T1^7*T2^12 + 
      1508*T1^8*T2^12 - 1969*T1^9*T2^12 + 1508*T1^10*T2^12 - 
      635*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 409] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 10*T^2 - 9*T^3 + 10*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 562*T1^2 + 757*T1^3 - 813*T1^4 + 757*T1^5 - 
      562*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1592*T1^2*T2 - 
      1373*T1^3*T2 + 819*T1^4*T2 - 301*T1^5*T2 - 433*T1^6*T2 + 992*T1^7*T2 - 
      924*T1^8*T2 + 243*T1^9*T2 - 562*T2^2 + 1592*T1*T2^2 + 11*T1^2*T2^2 - 
      2421*T1^3*T2^2 + 4058*T1^4*T2^2 - 4435*T1^5*T2^2 + 4778*T1^6*T2^2 - 
      3781*T1^7*T2^2 + 1451*T1^8*T2^2 + 792*T1^9*T2^2 - 402*T1^10*T2^2 + 
      757*T2^3 - 1373*T1*T2^3 - 2421*T1^2*T2^3 + 4264*T1^3*T2^3 - 
      3706*T1^4*T2^3 + 1997*T1^5*T2^3 - 1589*T1^6*T2^3 - 624*T1^7*T2^3 + 
      2962*T1^8*T2^3 - 3261*T1^9*T2^3 - 153*T1^10*T2^3 + 433*T1^11*T2^3 - 
      813*T2^4 + 819*T1*T2^4 + 4058*T1^2*T2^4 - 3706*T1^3*T2^4 + 
      2216*T1^4*T2^4 - 1216*T1^5*T2^4 + 2296*T1^6*T2^4 - 300*T1^7*T2^4 - 
      700*T1^8*T2^4 - 250*T1^9*T2^4 + 3298*T1^10*T2^4 - 421*T1^11*T2^4 - 
      349*T1^12*T2^4 + 757*T2^5 - 301*T1*T2^5 - 4435*T1^2*T2^5 + 
      1997*T1^3*T2^5 - 1216*T1^4*T2^5 + 1246*T1^5*T2^5 - 2602*T1^6*T2^5 - 
      52*T1^7*T2^5 + 526*T1^8*T2^5 - 16*T1^9*T2^5 - 1633*T1^10*T2^5 - 
      2215*T1^11*T2^5 + 659*T1^12*T2^5 + 217*T1^13*T2^5 - 562*T2^6 - 
      433*T1*T2^6 + 4778*T1^2*T2^6 - 1589*T1^3*T2^6 + 2296*T1^4*T2^6 - 
      2602*T1^5*T2^6 + 3099*T1^6*T2^6 + 281*T1^7*T2^6 - 501*T1^8*T2^6 + 
      358*T1^9*T2^6 + 976*T1^10*T2^6 + 1931*T1^11*T2^6 + 1098*T1^12*T2^6 - 
      673*T1^13*T2^6 - 82*T1^14*T2^6 + 283*T2^7 + 992*T1*T2^7 - 
      3781*T1^2*T2^7 - 624*T1^3*T2^7 - 300*T1^4*T2^7 - 52*T1^5*T2^7 + 
      281*T1^6*T2^7 - 2743*T1^7*T2^7 + 1229*T1^8*T2^7 + 102*T1^9*T2^7 - 
      1782*T1^10*T2^7 - 364*T1^11*T2^7 - 2210*T1^12*T2^7 + 179*T1^13*T2^7 + 
      392*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 924*T1*T2^8 + 
      1451*T1^2*T2^8 + 2962*T1^3*T2^8 - 700*T1^4*T2^8 + 526*T1^5*T2^8 - 
      501*T1^6*T2^8 + 1229*T1^7*T2^8 + 1404*T1^8*T2^8 - 2369*T1^9*T2^8 + 
      2353*T1^10*T2^8 + 106*T1^11*T2^8 + 1448*T1^12*T2^8 + 1014*T1^13*T2^8 - 
      709*T1^14*T2^8 - 44*T1^15*T2^8 + 7*T1^16*T2^8 + 243*T1*T2^9 + 
      792*T1^2*T2^9 - 3261*T1^3*T2^9 - 250*T1^4*T2^9 - 16*T1^5*T2^9 + 
      358*T1^6*T2^9 + 102*T1^7*T2^9 - 2369*T1^8*T2^9 + 1603*T1^9*T2^9 - 
      77*T1^10*T2^9 - 1372*T1^11*T2^9 - 80*T1^12*T2^9 - 1836*T1^13*T2^9 + 
      699*T1^14*T2^9 + 192*T1^15*T2^9 - 37*T1^16*T2^9 - 402*T1^2*T2^10 - 
      153*T1^3*T2^10 + 3298*T1^4*T2^10 - 1633*T1^5*T2^10 + 976*T1^6*T2^10 - 
      1782*T1^7*T2^10 + 2353*T1^8*T2^10 - 77*T1^9*T2^10 - 1247*T1^10*T2^10 + 
      1178*T1^11*T2^10 - 344*T1^12*T2^10 + 1887*T1^13*T2^10 - 
      382*T1^14*T2^10 - 393*T1^15*T2^10 + 78*T1^16*T2^10 + 433*T1^3*T2^11 - 
      421*T1^4*T2^11 - 2215*T1^5*T2^11 + 1931*T1^6*T2^11 - 364*T1^7*T2^11 + 
      106*T1^8*T2^11 - 1372*T1^9*T2^11 + 1178*T1^10*T2^11 - 614*T1^11*T2^11 + 
      836*T1^12*T2^11 - 1699*T1^13*T2^11 + 5*T1^14*T2^11 + 539*T1^15*T2^11 - 
      107*T1^16*T2^11 - 349*T1^4*T2^12 + 659*T1^5*T2^12 + 1098*T1^6*T2^12 - 
      2210*T1^7*T2^12 + 1448*T1^8*T2^12 - 80*T1^9*T2^12 - 344*T1^10*T2^12 + 
      836*T1^11*T2^12 - 1468*T1^12*T2^12 + 1246*T1^13*T2^12 + 
      338*T1^14*T2^12 - 581*T1^15*T2^12 + 115*T1^16*T2^12 + 217*T1^5*T2^13 - 
      673*T1^6*T2^13 + 179*T1^7*T2^13 + 1014*T1^8*T2^13 - 1836*T1^9*T2^13 + 
      1887*T1^10*T2^13 - 1699*T1^11*T2^13 + 1246*T1^12*T2^13 - 
      288*T1^13*T2^13 - 661*T1^14*T2^13 + 547*T1^15*T2^13 - 107*T1^16*T2^13 - 
      82*T1^6*T2^14 + 392*T1^7*T2^14 - 709*T1^8*T2^14 + 699*T1^9*T2^14 - 
      382*T1^10*T2^14 + 5*T1^11*T2^14 + 338*T1^12*T2^14 - 661*T1^13*T2^14 + 
      731*T1^14*T2^14 - 408*T1^15*T2^14 + 78*T1^16*T2^14 + 3*T1^7*T2^15 - 
      44*T1^8*T2^15 + 192*T1^9*T2^15 - 393*T1^10*T2^15 + 539*T1^11*T2^15 - 
      581*T1^12*T2^15 + 547*T1^13*T2^15 - 408*T1^14*T2^15 + 196*T1^15*T2^15 - 
      37*T1^16*T2^15 + 7*T1^8*T2^16 - 37*T1^9*T2^16 + 78*T1^10*T2^16 - 
      107*T1^11*T2^16 + 115*T1^12*T2^16 - 107*T1^13*T2^16 + 78*T1^14*T2^16 - 
      37*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 410] -> 
  {-((4 - 22*T + 48*T^2 - 61*T^3 + 48*T^4 - 22*T^5 + 4*T^6)/T^3), 
   -((-336 + 1828*T1 - 3948*T1^2 + 5000*T1^3 - 3948*T1^4 + 1828*T1^5 - 
      336*T1^6 + 1828*T2 - 8486*T1*T2 + 13532*T1^2*T2 - 9988*T1^3*T2 - 
      396*T1^4*T2 + 7372*T1^5*T2 - 6198*T1^6*T2 + 1476*T1^7*T2 - 3948*T2^2 + 
      13532*T1*T2^2 - 5569*T1^2*T2^2 - 21879*T1^3*T2^2 + 44409*T1^4*T2^2 - 
      36855*T1^5*T2^2 + 11327*T1^6*T2^2 + 5084*T1^7*T2^2 - 2412*T1^8*T2^2 + 
      5000*T2^3 - 9988*T1*T2^3 - 21879*T1^2*T2^3 + 60228*T1^3*T2^3 - 
      57464*T1^4*T2^3 + 6400*T1^5*T2^3 + 33888*T1^6*T2^3 - 29559*T1^7*T2^3 + 
      1892*T1^8*T2^3 + 2072*T1^9*T2^3 - 3948*T2^4 - 396*T1*T2^4 + 
      44409*T1^2*T2^4 - 57464*T1^3*T2^4 + 7760*T1^4*T2^4 + 60364*T1^5*T2^4 - 
      63124*T1^6*T2^4 + 13784*T1^7*T2^4 + 22225*T1^8*T2^4 - 6556*T1^9*T2^4 - 
      876*T1^10*T2^4 + 1828*T2^5 + 7372*T1*T2^5 - 36855*T1^2*T2^5 + 
      6400*T1^3*T2^5 + 60364*T1^4*T2^5 - 84892*T1^5*T2^5 + 23940*T1^6*T2^5 + 
      40204*T1^7*T2^5 - 42696*T1^8*T2^5 + 9*T1^9*T2^5 + 4380*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 6198*T1*T2^6 + 11327*T1^2*T2^6 + 
      33888*T1^3*T2^6 - 63124*T1^4*T2^6 + 23940*T1^5*T2^6 + 54096*T1^6*T2^6 - 
      72700*T1^7*T2^6 + 26140*T1^8*T2^6 + 19584*T1^9*T2^6 - 8225*T1^10*T2^6 - 
      566*T1^11*T2^6 + 48*T1^12*T2^6 + 1476*T1*T2^7 + 5084*T1^2*T2^7 - 
      29559*T1^3*T2^7 + 13784*T1^4*T2^7 + 40204*T1^5*T2^7 - 72700*T1^6*T2^7 + 
      36132*T1^7*T2^7 + 20044*T1^8*T2^7 - 35312*T1^9*T2^7 + 7305*T1^10*T2^7 + 
      2092*T1^11*T2^7 - 284*T1^12*T2^7 - 2412*T1^2*T2^8 + 1892*T1^3*T2^8 + 
      22225*T1^4*T2^8 - 42696*T1^5*T2^8 + 26140*T1^6*T2^8 + 20044*T1^7*T2^8 - 
      44744*T1^8*T2^8 + 28552*T1^9*T2^8 + 41*T1^10*T2^8 - 4268*T1^11*T2^8 + 
      660*T1^12*T2^8 + 2072*T1^3*T2^9 - 6556*T1^4*T2^9 + 9*T1^5*T2^9 + 
      19584*T1^6*T2^9 - 35312*T1^7*T2^9 + 28552*T1^8*T2^9 - 6756*T1^9*T2^9 - 
      7671*T1^10*T2^9 + 5324*T1^11*T2^9 - 856*T1^12*T2^9 - 876*T1^4*T2^10 + 
      4380*T1^5*T2^10 - 8225*T1^6*T2^10 + 7305*T1^7*T2^10 + 41*T1^8*T2^10 - 
      7671*T1^9*T2^10 + 8671*T1^10*T2^10 - 4068*T1^11*T2^10 + 
      660*T1^12*T2^10 + 68*T1^5*T2^11 - 566*T1^6*T2^11 + 2092*T1^7*T2^11 - 
      4268*T1^8*T2^11 + 5324*T1^9*T2^11 - 4068*T1^10*T2^11 + 
      1722*T1^11*T2^11 - 284*T1^12*T2^11 + 48*T1^6*T2^12 - 284*T1^7*T2^12 + 
      660*T1^8*T2^12 - 856*T1^9*T2^12 + 660*T1^10*T2^12 - 284*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 411] -> 
  {(2 - 9*T + 21*T^2 - 29*T^3 + 31*T^4 - 29*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 162*T1^2 + 225*T1^3 - 241*T1^4 + 225*T1^5 - 
     162*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 284*T1*T2 + 590*T1^2*T2 - 
     667*T1^3*T2 + 595*T1^4*T2 - 485*T1^5*T2 + 233*T1^6*T2 + 50*T1^7*T2 - 
     86*T1^8*T2 + 33*T1^9*T2 - 162*T2^2 + 590*T1*T2^2 - 1027*T1^2*T2^2 + 
     741*T1^3*T2^2 - 290*T1^4*T2^2 - 19*T1^5*T2^2 + 550*T1^6*T2^2 - 
     939*T1^7*T2^2 + 569*T1^8*T2^2 - 166*T1^9*T2^2 + 6*T1^10*T2^2 + 
     225*T2^3 - 667*T1*T2^3 + 741*T1^2*T2^3 + 413*T1^3*T2^3 - 
     1191*T1^4*T2^3 + 1176*T1^5*T2^3 - 1464*T1^6*T2^3 + 1299*T1^7*T2^3 + 
     137*T1^8*T2^3 - 834*T1^9*T2^3 + 521*T1^10*T2^3 - 123*T1^11*T2^3 - 
     241*T2^4 + 595*T1*T2^4 - 290*T1^2*T2^4 - 1191*T1^3*T2^4 + 
     1337*T1^4*T2^4 - 177*T1^5*T2^4 + 283*T1^6*T2^4 + 83*T1^7*T2^4 - 
     1911*T1^8*T2^4 + 1535*T1^9*T2^4 + 220*T1^10*T2^4 - 593*T1^11*T2^4 + 
     255*T1^12*T2^4 + 225*T2^5 - 485*T1*T2^5 - 19*T1^2*T2^5 + 
     1176*T1^3*T2^5 - 177*T1^4*T2^5 - 2070*T1^5*T2^5 + 1412*T1^6*T2^5 - 
     1978*T1^7*T2^5 + 3890*T1^8*T2^5 - 1490*T1^9*T2^5 - 1292*T1^10*T2^5 + 
     206*T1^11*T2^5 + 451*T1^12*T2^5 - 355*T1^13*T2^5 - 162*T2^6 + 
     233*T1*T2^6 + 550*T1^2*T2^6 - 1464*T1^3*T2^6 + 283*T1^4*T2^6 + 
     1412*T1^5*T2^6 + 657*T1^6*T2^6 + 829*T1^7*T2^6 - 2415*T1^8*T2^6 - 
     1660*T1^9*T2^6 + 2557*T1^10*T2^6 + 1434*T1^11*T2^6 - 950*T1^12*T2^6 + 
     53*T1^13*T2^6 + 342*T1^14*T2^6 + 69*T2^7 + 50*T1*T2^7 - 939*T1^2*T2^7 + 
     1299*T1^3*T2^7 + 83*T1^4*T2^7 - 1978*T1^5*T2^7 + 829*T1^6*T2^7 - 
     4969*T1^7*T2^7 + 5477*T1^8*T2^7 - 652*T1^9*T2^7 + 2048*T1^10*T2^7 - 
     4896*T1^11*T2^7 - 247*T1^12*T2^7 + 1266*T1^13*T2^7 - 706*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 86*T1*T2^8 + 569*T1^2*T2^8 + 137*T1^3*T2^8 - 
     1911*T1^4*T2^8 + 3890*T1^5*T2^8 - 2415*T1^6*T2^8 + 5477*T1^7*T2^8 - 
     1548*T1^8*T2^8 - 4037*T1^9*T2^8 + 1679*T1^10*T2^8 - 1170*T1^11*T2^8 + 
     6893*T1^12*T2^8 - 3097*T1^13*T2^8 + 395*T1^14*T2^8 + 598*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 166*T1^2*T2^9 - 834*T1^3*T2^9 + 
     1535*T1^4*T2^9 - 1490*T1^5*T2^9 - 1660*T1^6*T2^9 - 652*T1^7*T2^9 - 
     4037*T1^8*T2^9 + 6409*T1^9*T2^9 - 2133*T1^10*T2^9 + 2366*T1^11*T2^9 - 
     6469*T1^12*T2^9 - 11*T1^13*T2^9 + 1371*T1^14*T2^9 - 922*T1^15*T2^9 - 
     219*T1^16*T2^9 + 6*T1^2*T2^10 + 521*T1^3*T2^10 + 220*T1^4*T2^10 - 
     1292*T1^5*T2^10 + 2557*T1^6*T2^10 + 2048*T1^7*T2^10 + 1679*T1^8*T2^10 - 
     2133*T1^9*T2^10 - 1393*T1^10*T2^10 - 1024*T1^11*T2^10 + 
     4831*T1^12*T2^10 + 1606*T1^13*T2^10 - 1280*T1^14*T2^10 + 
     341*T1^15*T2^10 + 510*T1^16*T2^10 - 123*T1^3*T2^11 - 593*T1^4*T2^11 + 
     206*T1^5*T2^11 + 1434*T1^6*T2^11 - 4896*T1^7*T2^11 - 1170*T1^8*T2^11 + 
     2366*T1^9*T2^11 - 1024*T1^10*T2^11 + 4790*T1^11*T2^11 - 
     6209*T1^12*T2^11 - 1034*T1^13*T2^11 + 431*T1^14*T2^11 + 
     343*T1^15*T2^11 - 703*T1^16*T2^11 + 255*T1^4*T2^12 + 451*T1^5*T2^12 - 
     950*T1^6*T2^12 - 247*T1^7*T2^12 + 6893*T1^8*T2^12 - 6469*T1^9*T2^12 + 
     4831*T1^10*T2^12 - 6209*T1^11*T2^12 + 3645*T1^12*T2^12 + 
     2479*T1^13*T2^12 - 440*T1^14*T2^12 - 737*T1^15*T2^12 + 751*T1^16*T2^12 - 
     355*T1^5*T2^13 + 53*T1^6*T2^13 + 1266*T1^7*T2^13 - 3097*T1^8*T2^13 - 
     11*T1^9*T2^13 + 1606*T1^10*T2^13 - 1034*T1^11*T2^13 + 2479*T1^12*T2^13 - 
     3373*T1^13*T2^13 - 309*T1^14*T2^13 + 1241*T1^15*T2^13 - 
     703*T1^16*T2^13 + 342*T1^6*T2^14 - 706*T1^7*T2^14 + 395*T1^8*T2^14 + 
     1371*T1^9*T2^14 - 1280*T1^10*T2^14 + 431*T1^11*T2^14 - 440*T1^12*T2^14 - 
     309*T1^13*T2^14 + 1991*T1^14*T2^14 - 1462*T1^15*T2^14 + 
     510*T1^16*T2^14 - 183*T1^7*T2^15 + 598*T1^8*T2^15 - 922*T1^9*T2^15 + 
     341*T1^10*T2^15 + 343*T1^11*T2^15 - 737*T1^12*T2^15 + 1241*T1^13*T2^15 - 
     1462*T1^14*T2^15 + 796*T1^15*T2^15 - 219*T1^16*T2^15 + 49*T1^8*T2^16 - 
     219*T1^9*T2^16 + 510*T1^10*T2^16 - 703*T1^11*T2^16 + 751*T1^12*T2^16 - 
     703*T1^13*T2^16 + 510*T1^14*T2^16 - 219*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 412] -> 
  {(4 - 20*T + 49*T^2 - 65*T^3 + 49*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (-112 + 576*T1 - 1424*T1^2 + 1896*T1^3 - 1424*T1^4 + 576*T1^5 - 112*T1^6 + 
     576*T2 - 2700*T1*T2 + 5956*T1^2*T2 - 6344*T1^3*T2 + 2776*T1^4*T2 + 
     436*T1^5*T2 - 780*T1^6*T2 + 256*T1^7*T2 - 1424*T2^2 + 5956*T1*T2^2 - 
     10826*T1^2*T2^2 + 5812*T1^3*T2^2 + 6714*T1^4*T2^2 - 11828*T1^5*T2^2 + 
     6814*T1^6*T2^2 - 1884*T1^7*T2^2 + 144*T1^8*T2^2 + 1896*T2^3 - 
     6344*T1*T2^3 + 5812*T1^2*T2^3 + 12734*T1^3*T2^3 - 32824*T1^4*T2^3 + 
     25076*T1^5*T2^3 - 1066*T1^6*T2^3 - 8888*T1^7*T2^3 + 5336*T1^8*T2^3 - 
     1224*T1^9*T2^3 - 1424*T2^4 + 2776*T1*T2^4 + 6714*T1^2*T2^4 - 
     32824*T1^3*T2^4 + 41670*T1^4*T2^4 - 1018*T1^5*T2^4 - 40050*T1^6*T2^4 + 
     33216*T1^7*T2^4 - 6870*T1^8*T2^4 - 2504*T1^9*T2^4 + 1712*T1^10*T2^4 + 
     576*T2^5 + 436*T1*T2^5 - 11828*T1^2*T2^5 + 25076*T1^3*T2^5 - 
     1018*T1^4*T2^5 - 72767*T1^5*T2^5 + 97063*T1^6*T2^5 - 37523*T1^7*T2^5 - 
     16544*T1^8*T2^5 + 14632*T1^9*T2^5 - 3324*T1^10*T2^5 - 1024*T1^11*T2^5 - 
     112*T2^6 - 780*T1*T2^6 + 6814*T1^2*T2^6 - 1066*T1^3*T2^6 - 
     40050*T1^4*T2^6 + 97063*T1^5*T2^6 - 55320*T1^6*T2^6 - 48947*T1^7*T2^6 + 
     76744*T1^8*T2^6 - 24946*T1^9*T2^6 - 1274*T1^10*T2^6 + 3700*T1^11*T2^6 + 
     272*T1^12*T2^6 + 256*T1*T2^7 - 1884*T1^2*T2^7 - 8888*T1^3*T2^7 + 
     33216*T1^4*T2^7 - 37523*T1^5*T2^7 - 48947*T1^6*T2^7 + 120883*T1^7*T2^7 - 
     74028*T1^8*T2^7 - 8404*T1^9*T2^7 + 17572*T1^10*T2^7 - 5644*T1^11*T2^7 - 
     1344*T1^12*T2^7 + 144*T1^2*T2^8 + 5336*T1^3*T2^8 - 6870*T1^4*T2^8 - 
     16544*T1^5*T2^8 + 76744*T1^6*T2^8 - 74028*T1^7*T2^8 - 4976*T1^8*T2^8 + 
     49496*T1^9*T2^8 - 20454*T1^10*T2^8 + 56*T1^11*T2^8 + 3280*T1^12*T2^8 - 
     1224*T1^3*T2^9 - 2504*T1^4*T2^9 + 14632*T1^5*T2^9 - 24946*T1^6*T2^9 - 
     8404*T1^7*T2^9 + 49496*T1^8*T2^9 - 38746*T1^9*T2^9 - 68*T1^10*T2^9 + 
     9176*T1^11*T2^9 - 4344*T1^12*T2^9 + 1712*T1^4*T2^10 - 3324*T1^5*T2^10 - 
     1274*T1^6*T2^10 + 17572*T1^7*T2^10 - 20454*T1^8*T2^10 - 68*T1^9*T2^10 + 
     16366*T1^10*T2^10 - 11164*T1^11*T2^10 + 3280*T1^12*T2^10 - 
     1024*T1^5*T2^11 + 3700*T1^6*T2^11 - 5644*T1^7*T2^11 + 56*T1^8*T2^11 + 
     9176*T1^9*T2^11 - 11164*T1^10*T2^11 + 5620*T1^11*T2^11 - 
     1344*T1^12*T2^11 + 272*T1^6*T2^12 - 1344*T1^7*T2^12 + 3280*T1^8*T2^12 - 
     4344*T1^9*T2^12 + 3280*T1^10*T2^12 - 1344*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 413] -> 
  {-((1 - 8*T + 29*T^2 - 62*T^3 + 79*T^4 - 62*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 145*T1^2 + 310*T1^3 - 395*T1^4 + 310*T1^5 - 
      145*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 904*T1^2*T2 - 
      1552*T1^3*T2 + 1176*T1^4*T2 + 48*T1^5*T2 - 824*T1^6*T2 + 608*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 145*T2^2 + 904*T1*T2^2 - 2243*T1^2*T2^2 + 
      2258*T1^3*T2^2 + 1894*T1^4*T2^2 - 5839*T1^5*T2^2 + 4794*T1^6*T2^2 - 
      874*T1^7*T2^2 - 619*T1^8*T2^2 + 440*T1^9*T2^2 - 87*T1^10*T2^2 + 
      310*T2^3 - 1552*T1*T2^3 + 2258*T1^2*T2^3 + 2256*T1^3*T2^3 - 
      13811*T1^4*T2^3 + 14520*T1^5*T2^3 - 1266*T1^6*T2^3 - 8881*T1^7*T2^3 + 
      5390*T1^8*T2^3 - 1048*T1^9*T2^3 - 296*T1^10*T2^3 + 124*T1^11*T2^3 - 
      395*T2^4 + 1176*T1*T2^4 + 1894*T1^2*T2^4 - 13811*T1^3*T2^4 + 
      26280*T1^4*T2^4 - 4075*T1^5*T2^4 - 28328*T1^6*T2^4 + 28461*T1^7*T2^4 - 
      2640*T1^8*T2^4 - 5627*T1^9*T2^4 + 3122*T1^10*T2^4 - 360*T1^11*T2^4 - 
      79*T1^12*T2^4 + 310*T2^5 + 48*T1*T2^5 - 5839*T1^2*T2^5 + 
      14520*T1^3*T2^5 - 4075*T1^4*T2^5 - 53256*T1^5*T2^5 + 73056*T1^6*T2^5 - 
      19396*T1^7*T2^5 - 35060*T1^8*T2^5 + 24357*T1^9*T2^5 - 5062*T1^10*T2^5 - 
      1459*T1^11*T2^5 + 632*T1^12*T2^5 - 145*T2^6 - 824*T1*T2^6 + 
      4794*T1^2*T2^6 - 1266*T1^3*T2^6 - 28328*T1^4*T2^6 + 73056*T1^5*T2^6 - 
      18173*T1^6*T2^6 - 89191*T1^7*T2^6 + 108663*T1^8*T2^6 - 
      30408*T1^9*T2^6 - 9294*T1^10*T2^6 + 8826*T1^11*T2^6 - 1450*T1^12*T2^6 - 
      232*T1^13*T2^6 + 29*T1^14*T2^6 + 40*T2^7 + 608*T1*T2^7 - 
      874*T1^2*T2^7 - 8881*T1^3*T2^7 + 28461*T1^4*T2^7 - 19396*T1^5*T2^7 - 
      89191*T1^6*T2^7 + 160776*T1^7*T2^7 - 81404*T1^8*T2^7 - 
      41295*T1^9*T2^7 + 51032*T1^10*T2^7 - 16387*T1^11*T2^7 - 
      795*T1^12*T2^7 + 1388*T1^13*T2^7 - 104*T1^14*T2^7 - 16*T1^15*T2^7 - 
      5*T2^8 - 216*T1*T2^8 - 619*T1^2*T2^8 + 5390*T1^3*T2^8 - 
      2640*T1^4*T2^8 - 35060*T1^5*T2^8 + 108663*T1^6*T2^8 - 81404*T1^7*T2^8 - 
      56880*T1^8*T2^8 + 132028*T1^9*T2^8 - 67673*T1^10*T2^8 + 
      1476*T1^11*T2^8 + 10236*T1^12*T2^8 - 3194*T1^13*T2^8 - 95*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 440*T1^2*T2^9 - 
      1048*T1^3*T2^9 - 5627*T1^4*T2^9 + 24357*T1^5*T2^9 - 30408*T1^6*T2^9 - 
      41295*T1^7*T2^9 + 132028*T1^8*T2^9 - 110152*T1^9*T2^9 + 
      6601*T1^10*T2^9 + 40020*T1^11*T2^9 - 20491*T1^12*T2^9 + 
      2459*T1^13*T2^9 + 1214*T1^14*T2^9 - 272*T1^15*T2^9 - 24*T1^16*T2^9 - 
      87*T1^2*T2^10 - 296*T1^3*T2^10 + 3122*T1^4*T2^10 - 5062*T1^5*T2^10 - 
      9294*T1^6*T2^10 + 51032*T1^7*T2^10 - 67673*T1^8*T2^10 + 
      6601*T1^9*T2^10 + 59163*T1^10*T2^10 - 52432*T1^11*T2^10 + 
      9740*T1^12*T2^10 + 5030*T1^13*T2^10 - 3122*T1^14*T2^10 + 
      296*T1^15*T2^10 + 87*T1^16*T2^10 + 124*T1^3*T2^11 - 360*T1^4*T2^11 - 
      1459*T1^5*T2^11 + 8826*T1^6*T2^11 - 16387*T1^7*T2^11 + 
      1476*T1^8*T2^11 + 40020*T1^9*T2^11 - 52432*T1^10*T2^11 + 
      19672*T1^11*T2^11 + 12045*T1^12*T2^11 - 10756*T1^13*T2^11 + 
      2921*T1^14*T2^11 + 224*T1^15*T2^11 - 186*T1^16*T2^11 - 79*T1^4*T2^12 + 
      632*T1^5*T2^12 - 1450*T1^6*T2^12 - 795*T1^7*T2^12 + 10236*T1^8*T2^12 - 
      20491*T1^9*T2^12 + 9740*T1^10*T2^12 + 12045*T1^11*T2^12 - 
      18684*T1^12*T2^12 + 7389*T1^13*T2^12 - 222*T1^14*T2^12 - 
      904*T1^15*T2^12 + 237*T1^16*T2^12 - 232*T1^6*T2^13 + 1388*T1^7*T2^13 - 
      3194*T1^8*T2^13 + 2459*T1^9*T2^13 + 5030*T1^10*T2^13 - 
      10756*T1^11*T2^13 + 7389*T1^12*T2^13 - 60*T1^13*T2^13 - 
      1918*T1^14*T2^13 + 1024*T1^15*T2^13 - 186*T1^16*T2^13 + 29*T1^6*T2^14 - 
      104*T1^7*T2^14 - 95*T1^8*T2^14 + 1214*T1^9*T2^14 - 3122*T1^10*T2^14 + 
      2921*T1^11*T2^14 - 222*T1^12*T2^14 - 1918*T1^13*T2^14 + 
      1529*T1^14*T2^14 - 568*T1^15*T2^14 + 87*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 272*T1^9*T2^15 + 296*T1^10*T2^15 + 224*T1^11*T2^15 - 
      904*T1^12*T2^15 + 1024*T1^13*T2^15 - 568*T1^14*T2^15 + 
      176*T1^15*T2^15 - 24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 
      87*T1^10*T2^16 - 186*T1^11*T2^16 + 237*T1^12*T2^16 - 186*T1^13*T2^16 + 
      87*T1^14*T2^16 - 24*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 414] -> 
  {-((9 - 37*T + 55*T^2 - 37*T^3 + 9*T^4)/T^2), 
   -((-2457 + 10093*T1 - 14965*T1^2 + 10093*T1^3 - 2457*T1^4 + 10093*T2 - 
      34399*T1*T2 + 32376*T1^2*T2 + 1740*T1^3*T2 - 19081*T1^4*T2 + 
      7096*T1^5*T2 - 14965*T2^2 + 32376*T1*T2^2 + 22583*T1^2*T2^2 - 
      91373*T1^3*T2^2 + 68123*T1^4*T2^2 - 4254*T1^5*T2^2 - 6055*T1^6*T2^2 + 
      10093*T2^3 + 1740*T1*T2^3 - 91373*T1^2*T2^3 + 120810*T1^3*T2^3 - 
      20456*T1^4*T2^3 - 52708*T1^5*T2^3 + 20388*T1^6*T2^3 + 1102*T1^7*T2^3 - 
      2457*T2^4 - 19081*T1*T2^4 + 68123*T1^2*T2^4 - 20456*T1^3*T2^4 - 
      88320*T1^4*T2^4 + 93504*T1^5*T2^4 - 15363*T1^6*T2^4 - 6427*T1^7*T2^4 + 
      459*T1^8*T2^4 + 7096*T1*T2^5 - 4254*T1^2*T2^5 - 52708*T1^3*T2^5 + 
      93504*T1^4*T2^5 - 47762*T1^5*T2^5 - 14043*T1^6*T2^5 + 14394*T1^7*T2^5 - 
      1895*T1^8*T2^5 - 6055*T1^2*T2^6 + 20388*T1^3*T2^6 - 15363*T1^4*T2^6 - 
      14043*T1^5*T2^6 + 30177*T1^6*T2^6 - 16242*T1^7*T2^6 + 2855*T1^8*T2^6 + 
      1102*T1^3*T2^7 - 6427*T1^4*T2^7 + 14394*T1^5*T2^7 - 16242*T1^6*T2^7 + 
      8891*T1^7*T2^7 - 1895*T1^8*T2^7 + 459*T1^4*T2^8 - 1895*T1^5*T2^8 + 
      2855*T1^6*T2^8 - 1895*T1^7*T2^8 + 459*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 415] -> 
  {(1 - 8*T + 27*T^2 - 54*T^3 + 69*T^4 - 54*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 216*T1^3 - 276*T1^4 + 216*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1080*T1^3*T2 + 
     912*T1^4*T2 - 72*T1^5*T2 - 432*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1429*T1^2*T2^2 + 1051*T1^3*T2^2 + 
     1535*T1^4*T2^2 - 4609*T1^5*T2^2 + 3803*T1^6*T2^2 - 1433*T1^7*T2^2 - 
     25*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 216*T2^3 - 1080*T1*T2^3 + 
     1051*T1^2*T2^3 + 2572*T1^3*T2^3 - 9140*T1^4*T2^3 + 11363*T1^5*T2^3 - 
     2083*T1^6*T2^3 - 4118*T1^7*T2^3 + 3922*T1^8*T2^3 - 1379*T1^9*T2^3 + 
     54*T1^11*T2^3 - 276*T2^4 + 912*T1*T2^4 + 1535*T1^2*T2^4 - 
     9140*T1^3*T2^4 + 15278*T1^4*T2^4 - 6861*T1^5*T2^4 - 16116*T1^6*T2^4 + 
     16731*T1^7*T2^4 - 5698*T1^8*T2^4 - 1580*T1^9*T2^4 + 2075*T1^10*T2^4 - 
     432*T1^11*T2^4 + 216*T2^5 - 72*T1*T2^5 - 4609*T1^2*T2^5 + 
     11363*T1^3*T2^5 - 6861*T1^4*T2^5 - 17668*T1^5*T2^5 + 40883*T1^6*T2^5 - 
     13765*T1^7*T2^5 - 12232*T1^8*T2^5 + 14559*T1^9*T2^5 - 5647*T1^10*T2^5 - 
     109*T1^11*T2^5 + 432*T1^12*T2^5 - 54*T1^13*T2^5 - 108*T2^6 - 
     432*T1*T2^6 + 3803*T1^2*T2^6 - 2083*T1^3*T2^6 - 16116*T1^4*T2^6 + 
     40883*T1^5*T2^6 - 33851*T1^6*T2^6 - 28395*T1^7*T2^6 + 47365*T1^8*T2^6 - 
     21757*T1^9*T2^6 - 1374*T1^10*T2^6 + 6017*T1^11*T2^6 - 1921*T1^12*T2^6 + 
     54*T1^14*T2^6 + 32*T2^7 + 392*T1*T2^7 - 1433*T1^2*T2^7 - 
     4118*T1^3*T2^7 + 16731*T1^4*T2^7 - 13765*T1^5*T2^7 - 28395*T1^6*T2^7 + 
     84782*T1^7*T2^7 - 56518*T1^8*T2^7 - 5499*T1^9*T2^7 + 24899*T1^10*T2^7 - 
     13377*T1^11*T2^7 + 1012*T1^12*T2^7 + 1321*T1^13*T2^7 - 240*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 25*T1^2*T2^8 + 3922*T1^3*T2^8 - 
     5698*T1^4*T2^8 - 12232*T1^5*T2^8 + 47365*T1^6*T2^8 - 56518*T1^7*T2^8 - 
     8868*T1^8*T2^8 + 64210*T1^9*T2^8 - 43139*T1^10*T2^8 + 8000*T1^11*T2^8 + 
     6194*T1^12*T2^8 - 3638*T1^13*T2^8 + 35*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 240*T1^2*T2^9 - 1379*T1^3*T2^9 - 
     1580*T1^4*T2^9 + 14559*T1^5*T2^9 - 21757*T1^6*T2^9 - 5499*T1^7*T2^9 + 
     64210*T1^8*T2^9 - 77090*T1^9*T2^9 + 17397*T1^10*T2^9 + 
     16907*T1^11*T2^9 - 15549*T1^12*T2^9 + 3550*T1^13*T2^9 + 
     1375*T1^14*T2^9 - 392*T1^15*T2^9 - 32*T1^16*T2^9 - 54*T1^2*T2^10 + 
     2075*T1^4*T2^10 - 5647*T1^5*T2^10 - 1374*T1^6*T2^10 + 24899*T1^7*T2^10 - 
     43139*T1^8*T2^10 + 17397*T1^9*T2^10 + 38077*T1^10*T2^10 - 
     37741*T1^11*T2^10 + 13368*T1^12*T2^10 + 2453*T1^13*T2^10 - 
     3649*T1^14*T2^10 + 432*T1^15*T2^10 + 108*T1^16*T2^10 + 54*T1^3*T2^11 - 
     432*T1^4*T2^11 - 109*T1^5*T2^11 + 6017*T1^6*T2^11 - 13377*T1^7*T2^11 + 
     8000*T1^8*T2^11 + 16907*T1^9*T2^11 - 37741*T1^10*T2^11 + 
     13436*T1^11*T2^11 + 8043*T1^12*T2^11 - 10993*T1^13*T2^11 + 
     4391*T1^14*T2^11 + 72*T1^15*T2^11 - 216*T1^16*T2^11 + 432*T1^5*T2^12 - 
     1921*T1^6*T2^12 + 1012*T1^7*T2^12 + 6194*T1^8*T2^12 - 15549*T1^9*T2^12 + 
     13368*T1^10*T2^12 + 8043*T1^11*T2^12 - 14782*T1^12*T2^12 + 
     8572*T1^13*T2^12 - 1381*T1^14*T2^12 - 912*T1^15*T2^12 + 
     276*T1^16*T2^12 - 54*T1^5*T2^13 + 1321*T1^7*T2^13 - 3638*T1^8*T2^13 + 
     3550*T1^9*T2^13 + 2453*T1^10*T2^13 - 10993*T1^11*T2^13 + 
     8572*T1^12*T2^13 - 2288*T1^13*T2^13 - 1109*T1^14*T2^13 + 
     1080*T1^15*T2^13 - 216*T1^16*T2^13 + 54*T1^6*T2^14 - 240*T1^7*T2^14 + 
     35*T1^8*T2^14 + 1375*T1^9*T2^14 - 3649*T1^10*T2^14 + 4391*T1^11*T2^14 - 
     1381*T1^12*T2^14 - 1109*T1^13*T2^14 + 1439*T1^14*T2^14 - 
     672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     392*T1^9*T2^15 + 432*T1^10*T2^15 + 72*T1^11*T2^15 - 912*T1^12*T2^15 + 
     1080*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 216*T1^11*T2^16 + 
     276*T1^12*T2^16 - 216*T1^13*T2^16 + 108*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 416] -> 
  {-((1 - 8*T + 25*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 220*T1^3 - 255*T1^4 + 220*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 744*T1^2*T2 - 
      960*T1^3*T2 + 632*T1^4*T2 - 128*T1^5*T2 - 408*T1^6*T2 + 480*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 744*T1*T2^2 - 1145*T1^2*T2^2 - 
      333*T1^3*T2^2 + 3084*T1^4*T2^2 - 4345*T1^5*T2^2 + 4384*T1^6*T2^2 - 
      2133*T1^7*T2^2 + 55*T1^8*T2^2 + 344*T1^9*T2^2 - 75*T1^10*T2^2 + 
      220*T2^3 - 960*T1*T2^3 - 333*T1^2*T2^3 + 5738*T1^3*T2^3 - 
      9877*T1^4*T2^3 + 7028*T1^5*T2^3 - 2864*T1^6*T2^3 - 3865*T1^7*T2^3 + 
      5078*T1^8*T2^3 - 1833*T1^9*T2^3 - 104*T1^10*T2^3 + 88*T1^11*T2^3 - 
      255*T2^4 + 632*T1*T2^4 + 3084*T1^2*T2^4 - 9877*T1^3*T2^4 + 
      7644*T1^4*T2^4 + 5323*T1^5*T2^4 - 11466*T1^6*T2^4 + 16283*T1^7*T2^4 - 
      7500*T1^8*T2^4 - 1957*T1^9*T2^4 + 2552*T1^10*T2^4 - 296*T1^11*T2^4 - 
      51*T1^12*T2^4 + 220*T2^5 - 128*T1*T2^5 - 4345*T1^2*T2^5 + 
      7028*T1^3*T2^5 + 5323*T1^4*T2^5 - 21398*T1^5*T2^5 + 16595*T1^6*T2^5 - 
      10709*T1^7*T2^5 - 7814*T1^8*T2^5 + 12883*T1^9*T2^5 - 3992*T1^10*T2^5 - 
      1153*T1^11*T2^5 + 408*T1^12*T2^5 - 125*T2^6 - 408*T1*T2^6 + 
      4384*T1^2*T2^6 - 2864*T1^3*T2^6 - 11466*T1^4*T2^6 + 16595*T1^5*T2^6 + 
      3448*T1^6*T2^6 - 11984*T1^7*T2^6 + 22660*T1^8*T2^6 - 11405*T1^9*T2^6 - 
      4568*T1^10*T2^6 + 5336*T1^11*T2^6 - 580*T1^12*T2^6 - 200*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 480*T1*T2^7 - 2133*T1^2*T2^7 - 
      3865*T1^3*T2^7 + 16283*T1^4*T2^7 - 10709*T1^5*T2^7 - 11984*T1^6*T2^7 + 
      10496*T1^7*T2^7 - 7480*T1^8*T2^7 - 8248*T1^9*T2^7 + 15203*T1^10*T2^7 - 
      4877*T1^11*T2^7 - 2245*T1^12*T2^7 + 1167*T1^13*T2^7 - 72*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 55*T1^2*T2^8 + 5078*T1^3*T2^8 - 
      7500*T1^4*T2^8 - 7814*T1^5*T2^8 + 22660*T1^6*T2^8 - 7480*T1^7*T2^8 - 
      3888*T1^8*T2^8 + 12344*T1^9*T2^8 - 8428*T1^10*T2^8 - 5654*T1^11*T2^8 + 
      7536*T1^12*T2^8 - 1802*T1^13*T2^8 - 317*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 344*T1^2*T2^9 - 1833*T1^3*T2^9 - 
      1957*T1^4*T2^9 + 12883*T1^5*T2^9 - 11405*T1^6*T2^9 - 8248*T1^7*T2^9 + 
      12344*T1^8*T2^9 - 5632*T1^9*T2^9 - 4512*T1^10*T2^9 + 14507*T1^11*T2^9 - 
      8277*T1^12*T2^9 - 337*T1^13*T2^9 + 1467*T1^14*T2^9 - 208*T1^15*T2^9 - 
      24*T1^16*T2^9 - 75*T1^2*T2^10 - 104*T1^3*T2^10 + 2552*T1^4*T2^10 - 
      3992*T1^5*T2^10 - 4568*T1^6*T2^10 + 15203*T1^7*T2^10 - 
      8428*T1^8*T2^10 - 4512*T1^9*T2^10 + 10784*T1^10*T2^10 - 
      12797*T1^11*T2^10 + 2330*T1^12*T2^10 + 4208*T1^13*T2^10 - 
      2412*T1^14*T2^10 + 104*T1^15*T2^10 + 75*T1^16*T2^10 + 88*T1^3*T2^11 - 
      296*T1^4*T2^11 - 1153*T1^5*T2^11 + 5336*T1^6*T2^11 - 4877*T1^7*T2^11 - 
      5654*T1^8*T2^11 + 14507*T1^9*T2^11 - 12797*T1^10*T2^11 + 
      7930*T1^11*T2^11 + 2683*T1^12*T2^11 - 5684*T1^13*T2^11 + 
      2039*T1^14*T2^11 + 240*T1^15*T2^11 - 132*T1^16*T2^11 - 51*T1^4*T2^12 + 
      408*T1^5*T2^12 - 580*T1^6*T2^12 - 2245*T1^7*T2^12 + 7536*T1^8*T2^12 - 
      8277*T1^9*T2^12 + 2330*T1^10*T2^12 + 2683*T1^11*T2^12 - 
      7608*T1^12*T2^12 + 5675*T1^13*T2^12 - 1112*T1^14*T2^12 - 
      520*T1^15*T2^12 + 153*T1^16*T2^12 - 200*T1^6*T2^13 + 1167*T1^7*T2^13 - 
      1802*T1^8*T2^13 - 337*T1^9*T2^13 + 4208*T1^10*T2^13 - 
      5684*T1^11*T2^13 + 5675*T1^12*T2^13 - 2462*T1^13*T2^13 - 
      333*T1^14*T2^13 + 656*T1^15*T2^13 - 132*T1^16*T2^13 + 25*T1^6*T2^14 - 
      72*T1^7*T2^14 - 317*T1^8*T2^14 + 1467*T1^9*T2^14 - 2412*T1^10*T2^14 + 
      2039*T1^11*T2^14 - 1112*T1^12*T2^14 - 333*T1^13*T2^14 + 
      883*T1^14*T2^14 - 472*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 208*T1^9*T2^15 + 104*T1^10*T2^15 + 240*T1^11*T2^15 - 
      520*T1^12*T2^15 + 656*T1^13*T2^15 - 472*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      132*T1^11*T2^16 + 153*T1^12*T2^16 - 132*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 417] -> 
  {-((1 - 8*T + 28*T^2 - 55*T^3 + 67*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 165*T1^3 - 201*T1^4 + 165*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      872*T1^3*T2 + 728*T1^4*T2 - 248*T1^5*T2 - 208*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1356*T1^2*T2^2 + 
      1264*T1^3*T2^2 + 607*T1^4*T2^2 - 2384*T1^5*T2^2 + 2791*T1^6*T2^2 - 
      1368*T1^7*T2^2 + 156*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      165*T2^3 - 872*T1*T2^3 + 1264*T1^2*T2^3 + 1635*T1^3*T2^3 - 
      7185*T1^4*T2^3 + 8540*T1^5*T2^3 - 5093*T1^6*T2^3 - 968*T1^7*T2^3 + 
      2811*T1^8*T2^3 - 1340*T1^9*T2^3 + 224*T1^10*T2^3 - 201*T2^4 + 
      728*T1*T2^4 + 607*T1^2*T2^4 - 7185*T1^3*T2^4 + 12863*T1^4*T2^4 - 
      5672*T1^5*T2^4 - 7077*T1^6*T2^4 + 16052*T1^7*T2^4 - 10809*T1^8*T2^4 + 
      1835*T1^9*T2^4 + 1071*T1^10*T2^4 - 536*T1^11*T2^4 + 67*T1^12*T2^4 + 
      165*T2^5 - 248*T1*T2^5 - 2384*T1^2*T2^5 + 8540*T1^3*T2^5 - 
      5672*T1^4*T2^5 - 16089*T1^5*T2^5 + 33441*T1^6*T2^5 - 30875*T1^7*T2^5 + 
      6531*T1^8*T2^5 + 10511*T1^9*T2^5 - 7499*T1^10*T2^5 + 1240*T1^11*T2^5 + 
      344*T1^12*T2^5 - 110*T1^13*T2^5 - 84*T2^6 - 208*T1*T2^6 + 
      2791*T1^2*T2^6 - 5093*T1^3*T2^6 - 7077*T1^4*T2^6 + 33441*T1^5*T2^6 - 
      36693*T1^6*T2^6 + 6633*T1^7*T2^6 + 31451*T1^8*T2^6 - 35983*T1^9*T2^6 + 
      8683*T1^10*T2^6 + 4931*T1^11*T2^6 - 2833*T1^12*T2^6 + 208*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1368*T1^2*T2^7 - 
      968*T1^3*T2^7 + 16052*T1^4*T2^7 - 30875*T1^5*T2^7 + 6633*T1^6*T2^7 + 
      43921*T1^7*T2^7 - 62005*T1^8*T2^7 + 27140*T1^9*T2^7 + 
      23225*T1^10*T2^7 - 22295*T1^11*T2^7 + 4027*T1^12*T2^7 + 
      1404*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 156*T1^2*T2^8 + 2811*T1^3*T2^8 - 10809*T1^4*T2^8 + 
      6531*T1^5*T2^8 + 31451*T1^6*T2^8 - 62005*T1^7*T2^8 + 25236*T1^8*T2^8 + 
      36857*T1^9*T2^8 - 66819*T1^10*T2^8 + 22689*T1^11*T2^8 + 
      8015*T1^12*T2^8 - 5915*T1^13*T2^8 + 444*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1340*T1^3*T2^9 + 
      1835*T1^4*T2^9 + 10511*T1^5*T2^9 - 35983*T1^6*T2^9 + 27140*T1^7*T2^9 + 
      36857*T1^8*T2^9 - 69069*T1^9*T2^9 + 47647*T1^10*T2^9 + 
      18117*T1^11*T2^9 - 27836*T1^12*T2^9 + 6830*T1^13*T2^9 + 
      1432*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1071*T1^4*T2^10 - 7499*T1^5*T2^10 + 8683*T1^6*T2^10 + 
      23225*T1^7*T2^10 - 66819*T1^8*T2^10 + 47647*T1^9*T2^10 + 
      1325*T1^10*T2^10 - 46199*T1^11*T2^10 + 24443*T1^12*T2^10 + 
      2525*T1^13*T2^10 - 4553*T1^14*T2^10 + 640*T1^15*T2^10 + 
      140*T1^16*T2^10 - 536*T1^4*T2^11 + 1240*T1^5*T2^11 + 4931*T1^6*T2^11 - 
      22295*T1^7*T2^11 + 22689*T1^8*T2^11 + 18117*T1^9*T2^11 - 
      46199*T1^10*T2^11 + 45309*T1^11*T2^11 - 6112*T1^12*T2^11 - 
      11108*T1^13*T2^11 + 4864*T1^14*T2^11 + 56*T1^15*T2^11 - 
      275*T1^16*T2^11 + 67*T1^4*T2^12 + 344*T1^5*T2^12 - 2833*T1^6*T2^12 + 
      4027*T1^7*T2^12 + 8015*T1^8*T2^12 - 27836*T1^9*T2^12 + 
      24443*T1^10*T2^12 - 6112*T1^11*T2^12 - 15657*T1^12*T2^12 + 
      13047*T1^13*T2^12 - 2369*T1^14*T2^12 - 920*T1^15*T2^12 + 
      335*T1^16*T2^12 - 110*T1^5*T2^13 + 208*T1^6*T2^13 + 1404*T1^7*T2^13 - 
      5915*T1^8*T2^13 + 6830*T1^9*T2^13 + 2525*T1^10*T2^13 - 
      11108*T1^11*T2^13 + 13047*T1^12*T2^13 - 4739*T1^13*T2^13 - 
      1200*T1^14*T2^13 + 1304*T1^15*T2^13 - 275*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 444*T1^8*T2^14 + 1432*T1^9*T2^14 - 4553*T1^10*T2^14 + 
      4864*T1^11*T2^14 - 2369*T1^12*T2^14 - 1200*T1^13*T2^14 + 
      1956*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 640*T1^10*T2^15 + 56*T1^11*T2^15 - 
      920*T1^12*T2^15 + 1304*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 275*T1^11*T2^16 + 335*T1^12*T2^16 - 275*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 418] -> 
  {-(((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 24*T1 - 81*T1^2 + 162*T1^3 - 201*T1^4 + 162*T1^5 - 81*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 864*T1^3*T2 + 
      744*T1^4*T2 - 224*T1^5*T2 - 216*T1^6*T2 + 240*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1191*T1^2*T2^2 + 1142*T1^3*T2^2 + 
      737*T1^4*T2^2 - 2717*T1^5*T2^2 + 2897*T1^6*T2^2 - 1342*T1^7*T2^2 + 
      213*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 162*T2^3 - 864*T1*T2^3 + 
      1142*T1^2*T2^3 + 1132*T1^3*T2^3 - 6546*T1^4*T2^3 + 8462*T1^5*T2^3 - 
      4552*T1^6*T2^3 - 1200*T1^7*T2^3 + 2482*T1^8*T2^3 - 1288*T1^9*T2^3 + 
      216*T1^10*T2^3 - 201*T2^4 + 744*T1*T2^4 + 737*T1^2*T2^4 - 
      6546*T1^3*T2^4 + 13619*T1^4*T2^4 - 8607*T1^5*T2^4 - 4963*T1^6*T2^4 + 
      13625*T1^7*T2^4 - 8437*T1^8*T2^4 + 1446*T1^9*T2^4 + 1061*T1^10*T2^4 - 
      536*T1^11*T2^4 + 67*T1^12*T2^4 + 162*T2^5 - 224*T1*T2^5 - 
      2717*T1^2*T2^5 + 8462*T1^3*T2^5 - 8607*T1^4*T2^5 - 10694*T1^5*T2^5 + 
      29703*T1^6*T2^5 - 25917*T1^7*T2^5 + 1654*T1^8*T2^5 + 10713*T1^9*T2^5 - 
      7252*T1^10*T2^5 + 1399*T1^11*T2^5 + 328*T1^12*T2^5 - 108*T1^13*T2^5 - 
      81*T2^6 - 216*T1*T2^6 + 2897*T1^2*T2^6 - 4552*T1^3*T2^6 - 
      4963*T1^4*T2^6 + 29703*T1^5*T2^6 - 34119*T1^6*T2^6 + 1561*T1^7*T2^6 + 
      35325*T1^8*T2^6 - 31425*T1^9*T2^6 + 6647*T1^10*T2^6 + 4412*T1^11*T2^6 - 
      2935*T1^12*T2^6 + 216*T1^13*T2^6 + 81*T1^14*T2^6 + 24*T2^7 + 
      240*T1*T2^7 - 1342*T1^2*T2^7 - 1200*T1^3*T2^7 + 13625*T1^4*T2^7 - 
      25917*T1^5*T2^7 + 1561*T1^6*T2^7 + 51992*T1^7*T2^7 - 68788*T1^8*T2^7 + 
      24457*T1^9*T2^7 + 18687*T1^10*T2^7 - 17343*T1^11*T2^7 + 
      4038*T1^12*T2^7 + 1412*T1^13*T2^7 - 392*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 213*T1^2*T2^8 + 2482*T1^3*T2^8 - 
      8437*T1^4*T2^8 + 1654*T1^5*T2^8 + 35325*T1^6*T2^8 - 68788*T1^7*T2^8 + 
      31584*T1^8*T2^8 + 40276*T1^9*T2^8 - 61011*T1^10*T2^8 + 
      21118*T1^11*T2^8 + 3439*T1^12*T2^8 - 5078*T1^13*T2^8 + 273*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 88*T1^2*T2^9 - 
      1288*T1^3*T2^9 + 1446*T1^4*T2^9 + 10713*T1^5*T2^9 - 31425*T1^6*T2^9 + 
      24457*T1^7*T2^9 + 40276*T1^8*T2^9 - 80504*T1^9*T2^9 + 
      47353*T1^10*T2^9 + 13179*T1^11*T2^9 - 20255*T1^12*T2^9 + 
      6684*T1^13*T2^9 + 1466*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 
      27*T1^2*T2^10 + 216*T1^3*T2^10 + 1061*T1^4*T2^10 - 7252*T1^5*T2^10 + 
      6647*T1^6*T2^10 + 18687*T1^7*T2^10 - 61011*T1^8*T2^10 + 
      47353*T1^9*T2^10 + 8433*T1^10*T2^10 - 42441*T1^11*T2^10 + 
      18257*T1^12*T2^10 + 1712*T1^13*T2^10 - 4771*T1^14*T2^10 + 
      648*T1^15*T2^10 + 135*T1^16*T2^10 - 536*T1^4*T2^11 + 1399*T1^5*T2^11 + 
      4412*T1^6*T2^11 - 17343*T1^7*T2^11 + 21118*T1^8*T2^11 + 
      13179*T1^9*T2^11 - 42441*T1^10*T2^11 + 33466*T1^11*T2^11 + 
      1977*T1^12*T2^11 - 11302*T1^13*T2^11 + 5515*T1^14*T2^11 + 
      16*T1^15*T2^11 - 270*T1^16*T2^11 + 67*T1^4*T2^12 + 328*T1^5*T2^12 - 
      2935*T1^6*T2^12 + 4038*T1^7*T2^12 + 3439*T1^8*T2^12 - 
      20255*T1^9*T2^12 + 18257*T1^10*T2^12 + 1977*T1^11*T2^12 - 
      18617*T1^12*T2^12 + 12030*T1^13*T2^12 - 2611*T1^14*T2^12 - 
      952*T1^15*T2^12 + 335*T1^16*T2^12 - 108*T1^5*T2^13 + 216*T1^6*T2^13 + 
      1412*T1^7*T2^13 - 5078*T1^8*T2^13 + 6684*T1^9*T2^13 + 
      1712*T1^10*T2^13 - 11302*T1^11*T2^13 + 12030*T1^12*T2^13 - 
      3728*T1^13*T2^13 - 1018*T1^14*T2^13 + 1296*T1^15*T2^13 - 
      270*T1^16*T2^13 + 81*T1^6*T2^14 - 392*T1^7*T2^14 + 273*T1^8*T2^14 + 
      1466*T1^9*T2^14 - 4771*T1^10*T2^14 + 5515*T1^11*T2^14 - 
      2611*T1^12*T2^14 - 1018*T1^13*T2^14 + 1677*T1^14*T2^14 - 
      824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      544*T1^9*T2^15 + 648*T1^10*T2^15 + 16*T1^11*T2^15 - 952*T1^12*T2^15 + 
      1296*T1^13*T2^15 - 824*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 135*T1^10*T2^16 - 270*T1^11*T2^16 + 
      335*T1^12*T2^16 - 270*T1^13*T2^16 + 135*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 419] -> 
  {-((1 - 9*T + 32*T^2 - 61*T^3 + 73*T^4 - 61*T^5 + 32*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 160*T1^2 + 305*T1^3 - 365*T1^4 + 305*T1^5 - 
      160*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1116*T1^2*T2 - 
      1593*T1^3*T2 + 1089*T1^4*T2 - 117*T1^5*T2 - 756*T1^6*T2 + 747*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 160*T2^2 + 1116*T1*T2^2 - 2302*T1^2*T2^2 + 
      267*T1^3*T2^2 + 4989*T1^4*T2^2 - 8012*T1^5*T2^2 + 7613*T1^6*T2^2 - 
      3061*T1^7*T2^2 - 318*T1^8*T2^2 + 540*T1^9*T2^2 - 96*T1^10*T2^2 + 
      305*T2^3 - 1593*T1*T2^3 + 267*T1^2*T2^3 + 10561*T1^3*T2^3 - 
      21416*T1^4*T2^3 + 16711*T1^5*T2^3 - 4862*T1^6*T2^3 - 9638*T1^7*T2^3 + 
      10099*T1^8*T2^3 - 2709*T1^9*T2^3 - 234*T1^10*T2^3 + 122*T1^11*T2^3 - 
      365*T2^4 + 1089*T1*T2^4 + 4989*T1^2*T2^4 - 21416*T1^3*T2^4 + 
      18918*T1^4*T2^4 + 14733*T1^5*T2^4 - 37650*T1^6*T2^4 + 44567*T1^7*T2^4 - 
      17154*T1^8*T2^4 - 5190*T1^9*T2^4 + 4451*T1^10*T2^4 - 441*T1^11*T2^4 - 
      73*T1^12*T2^4 + 305*T2^5 - 117*T1*T2^5 - 8012*T1^2*T2^5 + 
      16711*T1^3*T2^5 + 14733*T1^4*T2^5 - 65502*T1^5*T2^5 + 61080*T1^6*T2^5 - 
      29690*T1^7*T2^5 - 26678*T1^8*T2^5 + 34638*T1^9*T2^5 - 8236*T1^10*T2^5 - 
      1985*T1^11*T2^5 + 657*T1^12*T2^5 - 160*T2^6 - 756*T1*T2^6 + 
      7613*T1^2*T2^6 - 4862*T1^3*T2^6 - 37650*T1^4*T2^6 + 61080*T1^5*T2^6 - 
      2919*T1^6*T2^6 - 48453*T1^7*T2^6 + 80393*T1^8*T2^6 - 35464*T1^9*T2^6 - 
      12758*T1^10*T2^6 + 11650*T1^11*T2^6 - 1335*T1^12*T2^6 - 
      288*T1^13*T2^6 + 32*T1^14*T2^6 + 45*T2^7 + 747*T1*T2^7 - 
      3061*T1^2*T2^7 - 9638*T1^3*T2^7 + 44567*T1^4*T2^7 - 29690*T1^5*T2^7 - 
      48453*T1^6*T2^7 + 67670*T1^7*T2^7 - 42834*T1^8*T2^7 - 27252*T1^9*T2^7 + 
      49532*T1^10*T2^7 - 15054*T1^11*T2^7 - 3624*T1^12*T2^7 + 
      2027*T1^13*T2^7 - 126*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 - 318*T1^2*T2^8 + 10099*T1^3*T2^8 - 17154*T1^4*T2^8 - 
      26678*T1^5*T2^8 + 80393*T1^6*T2^8 - 42834*T1^7*T2^8 - 19872*T1^8*T2^8 + 
      64290*T1^9*T2^8 - 41069*T1^10*T2^8 - 10842*T1^11*T2^8 + 
      17878*T1^12*T2^8 - 4259*T1^13*T2^8 - 340*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 540*T1^2*T2^9 - 2709*T1^3*T2^9 - 
      5190*T1^4*T2^9 + 34638*T1^5*T2^9 - 35464*T1^6*T2^9 - 27252*T1^7*T2^9 + 
      64290*T1^8*T2^9 - 46214*T1^9*T2^9 - 6051*T1^10*T2^9 + 
      43758*T1^11*T2^9 - 24983*T1^12*T2^9 + 824*T1^13*T2^9 + 
      2379*T1^14*T2^9 - 333*T1^15*T2^9 - 27*T1^16*T2^9 - 96*T1^2*T2^10 - 
      234*T1^3*T2^10 + 4451*T1^4*T2^10 - 8236*T1^5*T2^10 - 12758*T1^6*T2^10 + 
      49532*T1^7*T2^10 - 41069*T1^8*T2^10 - 6051*T1^9*T2^10 + 
      42243*T1^10*T2^10 - 47012*T1^11*T2^10 + 12134*T1^12*T2^10 + 
      8276*T1^13*T2^10 - 4497*T1^14*T2^10 + 234*T1^15*T2^10 + 
      96*T1^16*T2^10 + 122*T1^3*T2^11 - 441*T1^4*T2^11 - 1985*T1^5*T2^11 + 
      11650*T1^6*T2^11 - 15054*T1^7*T2^11 - 10842*T1^8*T2^11 + 
      43758*T1^9*T2^11 - 47012*T1^10*T2^11 + 27982*T1^11*T2^11 + 
      4851*T1^12*T2^11 - 13297*T1^13*T2^11 + 4042*T1^14*T2^11 + 
      333*T1^15*T2^11 - 183*T1^16*T2^11 - 73*T1^4*T2^12 + 657*T1^5*T2^12 - 
      1335*T1^6*T2^12 - 3624*T1^7*T2^12 + 17878*T1^8*T2^12 - 
      24983*T1^9*T2^12 + 12134*T1^10*T2^12 + 4851*T1^11*T2^12 - 
      18194*T1^12*T2^12 + 12602*T1^13*T2^12 - 1873*T1^14*T2^12 - 
      873*T1^15*T2^12 + 219*T1^16*T2^12 - 288*T1^6*T2^13 + 2027*T1^7*T2^13 - 
      4259*T1^8*T2^13 + 824*T1^9*T2^13 + 8276*T1^10*T2^13 - 
      13297*T1^11*T2^13 + 12602*T1^12*T2^13 - 4721*T1^13*T2^13 - 
      949*T1^14*T2^13 + 1071*T1^15*T2^13 - 183*T1^16*T2^13 + 32*T1^6*T2^14 - 
      126*T1^7*T2^14 - 340*T1^8*T2^14 + 2379*T1^9*T2^14 - 4497*T1^10*T2^14 + 
      4042*T1^11*T2^14 - 1873*T1^12*T2^14 - 949*T1^13*T2^14 + 
      1644*T1^14*T2^14 - 702*T1^15*T2^14 + 96*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 333*T1^9*T2^15 + 234*T1^10*T2^15 + 333*T1^11*T2^15 - 
      873*T1^12*T2^15 + 1071*T1^13*T2^15 - 702*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      96*T1^10*T2^16 - 183*T1^11*T2^16 + 219*T1^12*T2^16 - 183*T1^13*T2^16 + 
      96*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 420] -> 
  {(5 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 5*T^6)/T^3, 
   -((790 - 2350*T1 + 3592*T1^2 - 3898*T1^3 + 3592*T1^4 - 2350*T1^5 + 
      790*T1^6 - 2350*T2 + 5029*T1*T2 - 4836*T1^2*T2 + 2643*T1^3*T2 - 
      957*T1^4*T2 - 1986*T1^5*T2 + 3529*T1^6*T2 - 1975*T1^7*T2 + 3592*T2^2 - 
      4836*T1*T2^2 + 1173*T1^2*T2^2 + 2145*T1^3*T2^2 - 2161*T1^4*T2^2 + 
      4445*T1^5*T2^2 - 2967*T1^6*T2^2 - 1386*T1^7*T2^2 + 2442*T1^8*T2^2 - 
      3898*T2^3 + 2643*T1*T2^3 + 2145*T1^2*T2^3 - 2852*T1^3*T2^3 + 
      116*T1^4*T2^3 - 2194*T1^5*T2^3 - 992*T1^6*T2^3 + 3870*T1^7*T2^3 - 
      1257*T1^8*T2^3 - 2023*T1^9*T2^3 + 3592*T2^4 - 957*T1*T2^4 - 
      2161*T1^2*T2^4 + 116*T1^3*T2^4 + 2673*T1^4*T2^4 + 867*T1^5*T2^4 + 
      1893*T1^6*T2^4 - 1884*T1^7*T2^4 - 1491*T1^8*T2^4 + 2193*T1^9*T2^4 + 
      1292*T1^10*T2^4 - 2350*T2^5 - 1986*T1*T2^5 + 4445*T1^2*T2^5 - 
      2194*T1^3*T2^5 + 867*T1^4*T2^5 - 4191*T1^5*T2^5 + 39*T1^6*T2^5 + 
      292*T1^7*T2^5 + 736*T1^8*T2^5 + 420*T1^9*T2^5 - 2436*T1^10*T2^5 - 
      475*T1^11*T2^5 + 790*T2^6 + 3529*T1*T2^6 - 2967*T1^2*T2^6 - 
      992*T1^3*T2^6 + 1893*T1^4*T2^6 + 39*T1^5*T2^6 + 4392*T1^6*T2^6 - 
      3331*T1^7*T2^6 + 1899*T1^8*T2^6 - 2072*T1^9*T2^6 + 1793*T1^10*T2^6 + 
      1279*T1^11*T2^6 + 40*T1^12*T2^6 - 1975*T1*T2^7 - 1386*T1^2*T2^7 + 
      3870*T1^3*T2^7 - 1884*T1^4*T2^7 + 292*T1^5*T2^7 - 3331*T1^6*T2^7 + 
      899*T1^7*T2^7 - 283*T1^8*T2^7 + 1046*T1^9*T2^7 - 155*T1^10*T2^7 - 
      1836*T1^11*T2^7 - 100*T1^12*T2^7 + 2442*T1^2*T2^8 - 1257*T1^3*T2^8 - 
      1491*T1^4*T2^8 + 736*T1^5*T2^8 + 1899*T1^6*T2^8 - 283*T1^7*T2^8 + 
      1119*T1^8*T2^8 - 1264*T1^9*T2^8 - 821*T1^10*T2^8 + 1893*T1^11*T2^8 + 
      142*T1^12*T2^8 - 2023*T1^3*T2^9 + 2193*T1^4*T2^9 + 420*T1^5*T2^9 - 
      2072*T1^6*T2^9 + 1046*T1^7*T2^9 - 1264*T1^8*T2^9 - 212*T1^9*T2^9 + 
      2145*T1^10*T2^9 - 1707*T1^11*T2^9 - 148*T1^12*T2^9 + 1292*T1^4*T2^10 - 
      2436*T1^5*T2^10 + 1793*T1^6*T2^10 - 155*T1^7*T2^10 - 821*T1^8*T2^10 + 
      2145*T1^9*T2^10 - 2347*T1^10*T2^10 + 1014*T1^11*T2^10 + 
      142*T1^12*T2^10 - 475*T1^5*T2^11 + 1279*T1^6*T2^11 - 1836*T1^7*T2^11 + 
      1893*T1^8*T2^11 - 1707*T1^9*T2^11 + 1014*T1^10*T2^11 - 
      221*T1^11*T2^11 - 100*T1^12*T2^11 + 40*T1^6*T2^12 - 100*T1^7*T2^12 + 
      142*T1^8*T2^12 - 148*T1^9*T2^12 + 142*T1^10*T2^12 - 100*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 421] -> {((2 - 3*T + 2*T^2)*(5 - 9*T + 5*T^2))/T^2, 
   -((4445 - 14511*T1 + 20621*T1^2 - 14511*T1^3 + 4445*T1^4 - 14511*T2 + 
      36236*T1*T2 - 30892*T1^2*T2 - 4492*T1^3*T2 + 22046*T1^4*T2 - 
      11211*T1^5*T2 + 20621*T2^2 - 30892*T1*T2^2 - 12535*T1^2*T2^2 + 
      66247*T1^3*T2^2 - 47315*T1^4*T2^2 + 128*T1^5*T2^2 + 11221*T1^6*T2^2 - 
      14511*T2^3 - 4492*T1*T2^3 + 66247*T1^2*T2^3 - 80163*T1^3*T2^3 + 
      1347*T1^4*T2^3 + 46084*T1^5*T2^3 - 21652*T1^6*T2^3 - 4611*T1^7*T2^3 + 
      4445*T2^4 + 22046*T1*T2^4 - 47315*T1^2*T2^4 + 1347*T1^3*T2^4 + 
      77784*T1^4*T2^4 - 66039*T1^5*T2^4 + 5759*T1^6*T2^4 + 13466*T1^7*T2^4 + 
      445*T1^8*T2^4 - 11211*T1*T2^5 + 128*T1^2*T2^5 + 46084*T1^3*T2^5 - 
      66039*T1^4*T2^5 + 15471*T1^5*T2^5 + 25921*T1^6*T2^5 - 17032*T1^7*T2^5 - 
      1311*T1^8*T2^5 + 11221*T1^2*T2^6 - 21652*T1^3*T2^6 + 5759*T1^4*T2^6 + 
      25921*T1^5*T2^6 - 29021*T1^6*T2^6 + 9368*T1^7*T2^6 + 1821*T1^8*T2^6 - 
      4611*T1^3*T2^7 + 13466*T1^4*T2^7 - 17032*T1^5*T2^7 + 9368*T1^6*T2^7 - 
      724*T1^7*T2^7 - 1311*T1^8*T2^7 + 445*T1^4*T2^8 - 1311*T1^5*T2^8 + 
      1821*T1^6*T2^8 - 1311*T1^7*T2^8 + 445*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 422] -> 
  {((1 - T + T^2)*(2 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + 2*T^6))/T^4, 
   (-17 + 51*T1 - 86*T1^2 + 95*T1^3 - 95*T1^4 + 95*T1^5 - 86*T1^6 + 51*T1^7 - 
     17*T1^8 + 51*T2 - 126*T1*T2 + 177*T1^2*T2 - 147*T1^3*T2 + 132*T1^4*T2 - 
     132*T1^5*T2 + 105*T1^6*T2 - 15*T1^7*T2 - 30*T1^8*T2 + 27*T1^9*T2 - 
     86*T2^2 + 177*T1*T2^2 - 209*T1^2*T2^2 + 117*T1^3*T2^2 - 108*T1^4*T2^2 + 
     117*T1^5*T2^2 - 68*T1^6*T2^2 - 83*T1^7*T2^2 + 111*T1^8*T2^2 - 
     63*T1^9*T2^2 - 6*T1^10*T2^2 + 95*T2^3 - 147*T1*T2^3 + 117*T1^2*T2^3 + 
     24*T1^3*T2^3 + 19*T1^4*T2^3 - 61*T1^5*T2^3 + 5*T1^6*T2^3 + 
     157*T1^7*T2^3 - 78*T1^8*T2^3 - 63*T1^9*T2^3 + 129*T1^10*T2^3 - 
     37*T1^11*T2^3 - 95*T2^4 + 132*T1*T2^4 - 108*T1^2*T2^4 + 19*T1^3*T2^4 - 
     151*T1^4*T2^4 + 198*T1^5*T2^4 - 85*T1^6*T2^4 - 110*T1^7*T2^4 - 
     19*T1^8*T2^4 + 107*T1^9*T2^4 - 20*T1^10*T2^4 - 132*T1^11*T2^4 + 
     81*T1^12*T2^4 + 95*T2^5 - 132*T1*T2^5 + 117*T1^2*T2^5 - 61*T1^3*T2^5 + 
     198*T1^4*T2^5 - 206*T1^5*T2^5 + 74*T1^6*T2^5 + 52*T1^7*T2^5 + 
     168*T1^8*T2^5 - 198*T1^9*T2^5 + 49*T1^10*T2^5 - 15*T1^11*T2^5 + 
     132*T1^12*T2^5 - 125*T1^13*T2^5 - 86*T2^6 + 105*T1*T2^6 - 68*T1^2*T2^6 + 
     5*T1^3*T2^6 - 85*T1^4*T2^6 + 74*T1^5*T2^6 + 22*T1^6*T2^6 - 
     74*T1^7*T2^6 - 118*T1^8*T2^6 + 30*T1^9*T2^6 + 91*T1^10*T2^6 + 
     5*T1^11*T2^6 - 12*T1^12*T2^6 - 87*T1^13*T2^6 + 154*T1^14*T2^6 + 
     51*T2^7 - 15*T1*T2^7 - 83*T1^2*T2^7 + 157*T1^3*T2^7 - 110*T1^4*T2^7 + 
     52*T1^5*T2^7 - 74*T1^6*T2^7 + 19*T1^7*T2^7 + 159*T1^8*T2^7 - 
     83*T1^9*T2^7 + 30*T1^10*T2^7 - 66*T1^11*T2^7 - 181*T1^12*T2^7 + 
     217*T1^13*T2^7 - 111*T1^14*T2^7 - 117*T1^15*T2^7 - 17*T2^8 - 
     30*T1*T2^8 + 111*T1^2*T2^8 - 78*T1^3*T2^8 - 19*T1^4*T2^8 + 
     168*T1^5*T2^8 - 118*T1^6*T2^8 + 159*T1^7*T2^8 - 120*T1^8*T2^8 - 
     63*T1^9*T2^8 + 216*T1^10*T2^8 - 272*T1^11*T2^8 + 505*T1^12*T2^8 - 
     186*T1^13*T2^8 - 65*T1^14*T2^8 + 210*T1^15*T2^8 + 47*T1^16*T2^8 + 
     27*T1*T2^9 - 63*T1^2*T2^9 - 63*T1^3*T2^9 + 107*T1^4*T2^9 - 
     198*T1^5*T2^9 + 30*T1^6*T2^9 - 83*T1^7*T2^9 - 63*T1^8*T2^9 + 
     77*T1^9*T2^9 - 92*T1^10*T2^9 + 8*T1^11*T2^9 - 154*T1^12*T2^9 - 
     231*T1^13*T2^9 + 237*T1^14*T2^9 - 159*T1^15*T2^9 - 141*T1^16*T2^9 - 
     6*T1^2*T2^10 + 129*T1^3*T2^10 - 20*T1^4*T2^10 + 49*T1^5*T2^10 + 
     91*T1^6*T2^10 + 30*T1^7*T2^10 + 216*T1^8*T2^10 - 92*T1^9*T2^10 + 
     76*T1^10*T2^10 - 14*T1^11*T2^10 + 267*T1^12*T2^10 + 49*T1^13*T2^10 + 
     36*T1^14*T2^10 - 63*T1^15*T2^10 + 234*T1^16*T2^10 - 37*T1^3*T2^11 - 
     132*T1^4*T2^11 - 15*T1^5*T2^11 + 5*T1^6*T2^11 - 66*T1^7*T2^11 - 
     272*T1^8*T2^11 + 8*T1^9*T2^11 - 14*T1^10*T2^11 + 102*T1^11*T2^11 - 
     462*T1^12*T2^11 + 115*T1^13*T2^11 - 147*T1^14*T2^11 + 132*T1^15*T2^11 - 
     257*T1^16*T2^11 + 81*T1^4*T2^12 + 132*T1^5*T2^12 - 12*T1^6*T2^12 - 
     181*T1^7*T2^12 + 505*T1^8*T2^12 - 154*T1^9*T2^12 + 267*T1^10*T2^12 - 
     462*T1^11*T2^12 + 637*T1^12*T2^12 - 93*T1^13*T2^12 + 76*T1^14*T2^12 - 
     132*T1^15*T2^12 + 257*T1^16*T2^12 - 125*T1^5*T2^13 - 87*T1^6*T2^13 + 
     217*T1^7*T2^13 - 186*T1^8*T2^13 - 231*T1^9*T2^13 + 49*T1^10*T2^13 + 
     115*T1^11*T2^13 - 93*T1^12*T2^13 - 288*T1^13*T2^13 + 37*T1^14*T2^13 + 
     189*T1^15*T2^13 - 257*T1^16*T2^13 + 154*T1^6*T2^14 - 111*T1^7*T2^14 - 
     65*T1^8*T2^14 + 237*T1^9*T2^14 + 36*T1^10*T2^14 - 147*T1^11*T2^14 + 
     76*T1^12*T2^14 + 37*T1^13*T2^14 + 255*T1^14*T2^14 - 351*T1^15*T2^14 + 
     234*T1^16*T2^14 - 117*T1^7*T2^15 + 210*T1^8*T2^15 - 159*T1^9*T2^15 - 
     63*T1^10*T2^15 + 132*T1^11*T2^15 - 132*T1^12*T2^15 + 189*T1^13*T2^15 - 
     351*T1^14*T2^15 + 306*T1^15*T2^15 - 141*T1^16*T2^15 + 47*T1^8*T2^16 - 
     141*T1^9*T2^16 + 234*T1^10*T2^16 - 257*T1^11*T2^16 + 257*T1^12*T2^16 - 
     257*T1^13*T2^16 + 234*T1^14*T2^16 - 141*T1^15*T2^16 + 47*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 423] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   (-128 + 452*T1 - 852*T1^2 + 1024*T1^3 - 852*T1^4 + 452*T1^5 - 128*T1^6 + 
     452*T2 - 1366*T1*T2 + 2192*T1^2*T2 - 2060*T1^3*T2 + 1132*T1^4*T2 - 
     48*T1^5*T2 - 358*T1^6*T2 + 228*T1^7*T2 - 852*T2^2 + 2192*T1*T2^2 - 
     2887*T1^2*T2^2 + 1693*T1^3*T2^2 + 295*T1^4*T2^2 - 1843*T1^5*T2^2 + 
     1689*T1^6*T2^2 - 720*T1^7*T2^2 - 20*T1^8*T2^2 + 1024*T2^3 - 
     2060*T1*T2^3 + 1693*T1^2*T2^3 + 796*T1^3*T2^3 - 2824*T1^4*T2^3 + 
     3044*T1^5*T2^3 - 744*T1^6*T2^3 - 1427*T1^7*T2^3 + 1692*T1^8*T2^3 - 
     464*T1^9*T2^3 - 852*T2^4 + 1132*T1*T2^4 + 295*T1^2*T2^4 - 
     2824*T1^3*T2^4 + 3111*T1^4*T2^4 - 957*T1^5*T2^4 - 2493*T1^6*T2^4 + 
     3376*T1^7*T2^4 - 1041*T1^8*T2^4 - 1220*T1^9*T2^4 + 812*T1^10*T2^4 + 
     452*T2^5 - 48*T1*T2^5 - 1843*T1^2*T2^5 + 3044*T1^3*T2^5 - 
     957*T1^4*T2^5 - 2692*T1^5*T2^5 + 4610*T1^6*T2^5 - 2257*T1^7*T2^5 - 
     2160*T1^8*T2^5 + 2941*T1^9*T2^5 - 496*T1^10*T2^5 - 668*T1^11*T2^5 - 
     128*T2^6 - 358*T1*T2^6 + 1689*T1^2*T2^6 - 744*T1^3*T2^6 - 
     2493*T1^4*T2^6 + 4610*T1^5*T2^6 - 2232*T1^6*T2^6 - 2470*T1^7*T2^6 + 
     5443*T1^8*T2^6 - 2264*T1^9*T2^6 - 1383*T1^10*T2^6 + 1434*T1^11*T2^6 + 
     256*T1^12*T2^6 + 228*T1*T2^7 - 720*T1^2*T2^7 - 1427*T1^3*T2^7 + 
     3376*T1^4*T2^7 - 2257*T1^5*T2^7 - 2470*T1^6*T2^7 + 4832*T1^7*T2^7 - 
     3557*T1^8*T2^7 - 1828*T1^9*T2^7 + 3357*T1^10*T2^7 - 1168*T1^11*T2^7 - 
     892*T1^12*T2^7 - 20*T1^2*T2^8 + 1692*T1^3*T2^8 - 1041*T1^4*T2^8 - 
     2160*T1^5*T2^8 + 5443*T1^6*T2^8 - 3557*T1^7*T2^8 - 161*T1^8*T2^8 + 
     4040*T1^9*T2^8 - 2377*T1^10*T2^8 - 660*T1^11*T2^8 + 1644*T1^12*T2^8 - 
     464*T1^3*T2^9 - 1220*T1^4*T2^9 + 2941*T1^5*T2^9 - 2264*T1^6*T2^9 - 
     1828*T1^7*T2^9 + 4040*T1^8*T2^9 - 3804*T1^9*T2^9 - 179*T1^10*T2^9 + 
     2532*T1^11*T2^9 - 1952*T1^12*T2^9 + 812*T1^4*T2^10 - 496*T1^5*T2^10 - 
     1383*T1^6*T2^10 + 3357*T1^7*T2^10 - 2377*T1^8*T2^10 - 179*T1^9*T2^10 + 
     3193*T1^10*T2^10 - 3408*T1^11*T2^10 + 1644*T1^12*T2^10 - 
     668*T1^5*T2^11 + 1434*T1^6*T2^11 - 1168*T1^7*T2^11 - 660*T1^8*T2^11 + 
     2532*T1^9*T2^11 - 3408*T1^10*T2^11 + 2442*T1^11*T2^11 - 
     892*T1^12*T2^11 + 256*T1^6*T2^12 - 892*T1^7*T2^12 + 1644*T1^8*T2^12 - 
     1952*T1^9*T2^12 + 1644*T1^10*T2^12 - 892*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 424] -> 
  {(4 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (-128 + 484*T1 - 944*T1^2 + 1144*T1^3 - 944*T1^4 + 484*T1^5 - 128*T1^6 + 
     484*T2 - 1582*T1*T2 + 2630*T1^2*T2 - 2490*T1^3*T2 + 1350*T1^4*T2 - 
     10*T1^5*T2 - 442*T1^6*T2 + 244*T1^7*T2 - 944*T2^2 + 2630*T1*T2^2 - 
     3494*T1^2*T2^2 + 1806*T1^3*T2^2 + 896*T1^4*T2^2 - 2834*T1^5*T2^2 + 
     2306*T1^6*T2^2 - 850*T1^7*T2^2 - 16*T1^8*T2^2 + 1144*T2^3 - 
     2490*T1*T2^3 + 1806*T1^2*T2^3 + 1911*T1^3*T2^3 - 4766*T1^4*T2^3 + 
     4594*T1^5*T2^3 - 849*T1^6*T2^3 - 2109*T1^7*T2^3 + 2070*T1^8*T2^3 - 
     536*T1^9*T2^3 - 944*T2^4 + 1350*T1*T2^4 + 896*T1^2*T2^4 - 
     4766*T1^3*T2^4 + 4943*T1^4*T2^4 - 909*T1^5*T2^4 - 4457*T1^6*T2^4 + 
     5244*T1^7*T2^4 - 1398*T1^8*T2^4 - 1410*T1^9*T2^4 + 912*T1^10*T2^4 + 
     484*T2^5 - 10*T1*T2^5 - 2834*T1^2*T2^5 + 4594*T1^3*T2^5 - 
     909*T1^4*T2^5 - 5414*T1^5*T2^5 + 7826*T1^6*T2^5 - 3374*T1^7*T2^5 - 
     3466*T1^8*T2^5 + 3981*T1^9*T2^5 - 730*T1^10*T2^5 - 716*T1^11*T2^5 - 
     128*T2^6 - 442*T1*T2^6 + 2306*T1^2*T2^6 - 849*T1^3*T2^6 - 
     4457*T1^4*T2^6 + 7826*T1^5*T2^6 - 3072*T1^6*T2^6 - 4754*T1^7*T2^6 + 
     8877*T1^8*T2^6 - 3339*T1^9*T2^6 - 1682*T1^10*T2^6 + 1718*T1^11*T2^6 + 
     256*T1^12*T2^6 + 244*T1*T2^7 - 850*T1^2*T2^7 - 2109*T1^3*T2^7 + 
     5244*T1^4*T2^7 - 3374*T1^5*T2^7 - 4754*T1^6*T2^7 + 8486*T1^7*T2^7 - 
     5839*T1^8*T2^7 - 2816*T1^9*T2^7 + 4706*T1^10*T2^7 - 1570*T1^11*T2^7 - 
     956*T1^12*T2^7 - 16*T1^2*T2^8 + 2070*T1^3*T2^8 - 1398*T1^4*T2^8 - 
     3466*T1^5*T2^8 + 8877*T1^6*T2^8 - 5839*T1^7*T2^8 - 523*T1^8*T2^8 + 
     6544*T1^9*T2^8 - 3692*T1^10*T2^8 - 690*T1^11*T2^8 + 1840*T1^12*T2^8 - 
     536*T1^3*T2^9 - 1410*T1^4*T2^9 + 3981*T1^5*T2^9 - 3339*T1^6*T2^9 - 
     2816*T1^7*T2^9 + 6544*T1^8*T2^9 - 6099*T1^9*T2^9 + 66*T1^10*T2^9 + 
     3150*T1^11*T2^9 - 2216*T1^12*T2^9 + 912*T1^4*T2^10 - 730*T1^5*T2^10 - 
     1682*T1^6*T2^10 + 4706*T1^7*T2^10 - 3692*T1^8*T2^10 + 66*T1^9*T2^10 + 
     4118*T1^10*T2^10 - 4210*T1^11*T2^10 + 1840*T1^12*T2^10 - 
     716*T1^5*T2^11 + 1718*T1^6*T2^11 - 1570*T1^7*T2^11 - 690*T1^8*T2^11 + 
     3150*T1^9*T2^11 - 4210*T1^10*T2^11 + 2858*T1^11*T2^11 - 
     956*T1^12*T2^11 + 256*T1^6*T2^12 - 956*T1^7*T2^12 + 1840*T1^8*T2^12 - 
     2216*T1^9*T2^12 + 1840*T1^10*T2^12 - 956*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 425] -> 
  {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   (-387 + 1289*T1 - 1865*T1^2 + 1289*T1^3 - 387*T1^4 + 1289*T2 - 
     3726*T1*T2 + 4320*T1^2*T2 - 1560*T1^3*T2 - 606*T1^4*T2 + 569*T1^5*T2 - 
     1865*T2^2 + 4320*T1*T2^2 - 2424*T1^2*T2^2 - 3702*T1^3*T2^2 + 
     5580*T1^4*T2^2 - 2640*T1^5*T2^2 + 223*T1^6*T2^2 + 1289*T2^3 - 
     1560*T1*T2^3 - 3702*T1^2*T2^3 + 10520*T1^3*T2^3 - 8540*T1^4*T2^3 + 
     938*T1^5*T2^3 + 2160*T1^6*T2^3 - 871*T1^7*T2^3 - 387*T2^4 - 
     606*T1*T2^4 + 5580*T1^2*T2^4 - 8540*T1^3*T2^4 + 2004*T1^4*T2^4 + 
     6980*T1^5*T2^4 - 6244*T1^6*T2^4 + 1314*T1^7*T2^4 + 477*T1^8*T2^4 + 
     569*T1*T2^5 - 2640*T1^2*T2^5 + 938*T1^3*T2^5 + 6980*T1^4*T2^5 - 
     12080*T1^5*T2^5 + 5578*T1^6*T2^5 + 1080*T1^7*T2^5 - 1591*T1^8*T2^5 + 
     223*T1^2*T2^6 + 2160*T1^3*T2^6 - 6244*T1^4*T2^6 + 5578*T1^5*T2^6 + 
     1760*T1^6*T2^6 - 4800*T1^7*T2^6 + 2311*T1^8*T2^6 - 871*T1^3*T2^7 + 
     1314*T1^4*T2^7 + 1080*T1^5*T2^7 - 4800*T1^6*T2^7 + 4434*T1^7*T2^7 - 
     1591*T1^8*T2^7 + 477*T1^4*T2^8 - 1591*T1^5*T2^8 + 2311*T1^6*T2^8 - 
     1591*T1^7*T2^8 + 477*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 426] -> 
  {((1 - 5*T + 9*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 240*T1^3 - 308*T1^4 + 240*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 737*T1^2*T2 - 1227*T1^3*T2 + 
     1026*T1^4*T2 - 70*T1^5*T2 - 515*T1^6*T2 + 441*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 737*T1*T2^2 - 1893*T1^2*T2^2 + 1859*T1^3*T2^2 + 
     945*T1^4*T2^2 - 4419*T1^5*T2^2 + 3729*T1^6*T2^2 - 1157*T1^7*T2^2 - 
     269*T1^8*T2^2 + 273*T1^9*T2^2 - 58*T1^10*T2^2 + 240*T2^3 - 
     1227*T1*T2^3 + 1859*T1^2*T2^3 + 2204*T1^3*T2^3 - 10530*T1^4*T2^3 + 
     13259*T1^5*T2^3 - 2505*T1^6*T2^3 - 5182*T1^7*T2^3 + 4600*T1^8*T2^3 - 
     1273*T1^9*T2^3 - 19*T1^10*T2^3 + 60*T1^11*T2^3 - 308*T2^4 + 
     1026*T1*T2^4 + 945*T1^2*T2^4 - 10530*T1^3*T2^4 + 18039*T1^4*T2^4 - 
     5012*T1^5*T2^4 - 24351*T1^6*T2^4 + 25052*T1^7*T2^4 - 8473*T1^8*T2^4 - 
     2130*T1^9*T2^4 + 2197*T1^10*T2^4 - 478*T1^11*T2^4 + 240*T2^5 - 
     70*T1*T2^5 - 4419*T1^2*T2^5 + 13259*T1^3*T2^5 - 5012*T1^4*T2^5 - 
     32280*T1^5*T2^5 + 61572*T1^6*T2^5 - 23436*T1^7*T2^5 - 16200*T1^8*T2^5 + 
     20236*T1^9*T2^5 - 6673*T1^10*T2^5 - 75*T1^11*T2^5 + 482*T1^12*T2^5 - 
     60*T1^13*T2^5 - 116*T2^6 - 515*T1*T2^6 + 3729*T1^2*T2^6 - 
     2505*T1^3*T2^6 - 24351*T1^4*T2^6 + 61572*T1^5*T2^6 - 46700*T1^6*T2^6 - 
     42200*T1^7*T2^6 + 72700*T1^8*T2^6 - 35180*T1^9*T2^6 - 1105*T1^10*T2^6 + 
     7007*T1^11*T2^6 - 2119*T1^12*T2^6 + 13*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 441*T1*T2^7 - 1157*T1^2*T2^7 - 5182*T1^3*T2^7 + 
     25052*T1^4*T2^7 - 23436*T1^5*T2^7 - 42200*T1^6*T2^7 + 124528*T1^7*T2^7 - 
     86248*T1^8*T2^7 - 5584*T1^9*T2^7 + 38084*T1^10*T2^7 - 19460*T1^11*T2^7 + 
     1678*T1^12*T2^7 + 1279*T1^13*T2^7 - 271*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 269*T1^2*T2^8 + 4600*T1^3*T2^8 - 8473*T1^4*T2^8 - 
     16200*T1^5*T2^8 + 72700*T1^6*T2^8 - 86248*T1^7*T2^8 - 10944*T1^8*T2^8 + 
     95112*T1^9*T2^8 - 68844*T1^10*T2^8 + 12648*T1^11*T2^8 + 
     9059*T1^12*T2^8 - 4456*T1^13*T2^8 + 255*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 273*T1^2*T2^9 - 1273*T1^3*T2^9 - 
     2130*T1^4*T2^9 + 20236*T1^5*T2^9 - 35180*T1^6*T2^9 - 5584*T1^7*T2^9 + 
     95112*T1^8*T2^9 - 115664*T1^9*T2^9 + 31032*T1^10*T2^9 + 
     26340*T1^11*T2^9 - 24276*T1^12*T2^9 + 4730*T1^13*T2^9 + 
     1163*T1^14*T2^9 - 439*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     19*T1^3*T2^10 + 2197*T1^4*T2^10 - 6673*T1^5*T2^10 - 1105*T1^6*T2^10 + 
     38084*T1^7*T2^10 - 68844*T1^8*T2^10 + 31032*T1^9*T2^10 + 
     50556*T1^10*T2^10 - 58668*T1^11*T2^10 + 22141*T1^12*T2^10 + 
     2839*T1^13*T2^10 - 3651*T1^14*T2^10 + 509*T1^15*T2^10 + 
     116*T1^16*T2^10 + 60*T1^3*T2^11 - 478*T1^4*T2^11 - 75*T1^5*T2^11 + 
     7007*T1^6*T2^11 - 19460*T1^7*T2^11 + 12648*T1^8*T2^11 + 
     26340*T1^9*T2^11 - 58668*T1^10*T2^11 + 28728*T1^11*T2^11 + 
     5788*T1^12*T2^11 - 12925*T1^13*T2^11 + 4269*T1^14*T2^11 + 
     74*T1^15*T2^11 - 240*T1^16*T2^11 + 482*T1^5*T2^12 - 2119*T1^6*T2^12 + 
     1678*T1^7*T2^12 + 9059*T1^8*T2^12 - 24276*T1^9*T2^12 + 
     22141*T1^10*T2^12 + 5788*T1^11*T2^12 - 17453*T1^12*T2^12 + 
     10078*T1^13*T2^12 - 867*T1^14*T2^12 - 1022*T1^15*T2^12 + 
     308*T1^16*T2^12 - 60*T1^5*T2^13 + 13*T1^6*T2^13 + 1279*T1^7*T2^13 - 
     4456*T1^8*T2^13 + 4730*T1^9*T2^13 + 2839*T1^10*T2^13 - 
     12925*T1^11*T2^13 + 10078*T1^12*T2^13 - 2060*T1^13*T2^13 - 
     1853*T1^14*T2^13 + 1221*T1^15*T2^13 - 240*T1^16*T2^13 + 58*T1^6*T2^14 - 
     271*T1^7*T2^14 + 255*T1^8*T2^14 + 1163*T1^9*T2^14 - 3651*T1^10*T2^14 + 
     4269*T1^11*T2^14 - 867*T1^12*T2^14 - 1853*T1^13*T2^14 + 
     1879*T1^14*T2^14 - 735*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 439*T1^9*T2^15 + 509*T1^10*T2^15 + 74*T1^11*T2^15 - 
     1022*T1^12*T2^15 + 1221*T1^13*T2^15 - 735*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 240*T1^11*T2^16 + 308*T1^12*T2^16 - 240*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 427] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (4*(1 - 3*T1 + T1^2)^2*(1 - T1 + T1^2)^2*(-1 + T1*T2)^2*(1 + T1*T2)*
     (1 - 3*T2 + T2^2)^2*(1 - T2 + T2^2)^2*(1 - 3*T1*T2 + T1^2*T2^2)*
     (1 - T1*T2 + T1^2*T2^2))/(T1^9*T2^8)}, Knot[12, Alternating, 428] -> 
  {((1 - T + T^2)*(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6))/T^4, 
   (-33 + 148*T1 - 345*T1^2 + 526*T1^3 - 609*T1^4 + 526*T1^5 - 345*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 1190*T1^3*T2 + 
     948*T1^4*T2 - 294*T1^5*T2 - 236*T1^6*T2 + 506*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1533*T1^2*T2^2 + 
     1053*T1^3*T2^2 - 244*T1^4*T2^2 - 901*T1^5*T2^2 + 1100*T1^6*T2^2 - 
     879*T1^7*T2^2 + 63*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     526*T2^3 - 1190*T1*T2^3 + 1053*T1^2*T2^3 + 373*T1^3*T2^3 - 
     1171*T1^4*T2^3 + 1996*T1^5*T2^3 - 869*T1^6*T2^3 + 14*T1^7*T2^3 + 
     1231*T1^8*T2^3 - 900*T1^9*T2^3 + 160*T1^10*T2^3 + 142*T1^11*T2^3 - 
     609*T2^4 + 948*T1*T2^4 - 244*T1^2*T2^4 - 1171*T1^3*T2^4 + 
     616*T1^4*T2^4 - 558*T1^5*T2^4 - 1678*T1^6*T2^4 + 1850*T1^7*T2^4 - 
     2272*T1^8*T2^4 + 301*T1^9*T2^4 + 788*T1^10*T2^4 - 564*T1^11*T2^4 - 
     17*T1^12*T2^4 + 526*T2^5 - 294*T1*T2^5 - 901*T1^2*T2^5 + 
     1996*T1^3*T2^5 - 558*T1^4*T2^5 + 581*T1^5*T2^5 + 1928*T1^6*T2^5 - 
     1093*T1^7*T2^5 + 1123*T1^8*T2^5 + 1408*T1^9*T2^5 - 1351*T1^10*T2^5 + 
     26*T1^11*T2^5 + 588*T1^12*T2^5 - 114*T1^13*T2^5 - 345*T2^6 - 
     236*T1*T2^6 + 1100*T1^2*T2^6 - 869*T1^3*T2^6 - 1678*T1^4*T2^6 + 
     1928*T1^5*T2^6 - 4431*T1^6*T2^6 + 2233*T1^7*T2^6 - 1275*T1^8*T2^6 - 
     1558*T1^9*T2^6 + 308*T1^10*T2^6 + 1273*T1^11*T2^6 - 868*T1^12*T2^6 - 
     200*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     879*T1^2*T2^7 + 14*T1^3*T2^7 + 1850*T1^4*T2^7 - 1093*T1^5*T2^7 + 
     2233*T1^6*T2^7 + 721*T1^7*T2^7 - 1091*T1^8*T2^7 + 1733*T1^9*T2^7 + 
     998*T1^10*T2^7 - 1884*T1^11*T2^7 - 23*T1^12*T2^7 + 948*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 63*T1^2*T2^8 + 
     1231*T1^3*T2^8 - 2272*T1^4*T2^8 + 1123*T1^5*T2^8 - 1275*T1^6*T2^8 - 
     1091*T1^7*T2^8 + 684*T1^8*T2^8 + 51*T1^9*T2^8 - 1519*T1^10*T2^8 + 
     545*T1^11*T2^8 + 1972*T1^12*T2^8 - 1367*T1^13*T2^8 - 111*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     900*T1^3*T2^9 + 301*T1^4*T2^9 + 1408*T1^5*T2^9 - 1558*T1^6*T2^9 + 
     1733*T1^7*T2^9 + 51*T1^8*T2^9 - 1761*T1^9*T2^9 + 1233*T1^10*T2^9 + 
     533*T1^11*T2^9 - 2326*T1^12*T2^9 + 264*T1^13*T2^9 + 927*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 160*T1^3*T2^10 + 
     788*T1^4*T2^10 - 1351*T1^5*T2^10 + 308*T1^6*T2^10 + 998*T1^7*T2^10 - 
     1519*T1^8*T2^10 + 1233*T1^9*T2^10 + 1637*T1^10*T2^10 - 
     2488*T1^11*T2^10 + 2294*T1^12*T2^10 + 791*T1^13*T2^10 - 
     1180*T1^14*T2^10 + 196*T1^15*T2^10 + 327*T1^16*T2^10 + 142*T1^3*T2^11 - 
     564*T1^4*T2^11 + 26*T1^5*T2^11 + 1273*T1^6*T2^11 - 1884*T1^7*T2^11 + 
     545*T1^8*T2^11 + 533*T1^9*T2^11 - 2488*T1^10*T2^11 + 1087*T1^11*T2^11 + 
     82*T1^12*T2^11 - 2074*T1^13*T2^11 + 953*T1^14*T2^11 + 318*T1^15*T2^11 - 
     498*T1^16*T2^11 - 17*T1^4*T2^12 + 588*T1^5*T2^12 - 868*T1^6*T2^12 - 
     23*T1^7*T2^12 + 1972*T1^8*T2^12 - 2326*T1^9*T2^12 + 2294*T1^10*T2^12 + 
     82*T1^11*T2^12 - 916*T1^12*T2^12 + 1449*T1^13*T2^12 + 164*T1^14*T2^12 - 
     924*T1^15*T2^12 + 575*T1^16*T2^12 - 114*T1^5*T2^13 - 200*T1^6*T2^13 + 
     948*T1^7*T2^13 - 1367*T1^8*T2^13 + 264*T1^9*T2^13 + 791*T1^10*T2^13 - 
     2074*T1^11*T2^13 + 1449*T1^12*T2^13 - 509*T1^13*T2^13 - 
     1005*T1^14*T2^13 + 1150*T1^15*T2^13 - 498*T1^16*T2^13 + 159*T1^6*T2^14 - 
     250*T1^7*T2^14 - 111*T1^8*T2^14 + 927*T1^9*T2^14 - 1180*T1^10*T2^14 + 
     953*T1^11*T2^14 + 164*T1^12*T2^14 - 1005*T1^13*T2^14 + 
     1485*T1^14*T2^14 - 1006*T1^15*T2^14 + 327*T1^16*T2^14 - 104*T1^7*T2^15 + 
     330*T1^8*T2^15 - 466*T1^9*T2^15 + 196*T1^10*T2^15 + 318*T1^11*T2^15 - 
     924*T1^12*T2^15 + 1150*T1^13*T2^15 - 1006*T1^14*T2^15 + 
     528*T1^15*T2^15 - 140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 
     327*T1^10*T2^16 - 498*T1^11*T2^16 + 575*T1^12*T2^16 - 498*T1^13*T2^16 + 
     327*T1^14*T2^16 - 140*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 429] -> 
  {((1 - T + T^2)*(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4))/T^3, 
   (2*(-128 + 606*T1 - 1334*T1^2 + 1680*T1^3 - 1334*T1^4 + 606*T1^5 - 
      128*T1^6 + 606*T2 - 2417*T1*T2 + 4175*T1^2*T2 - 3239*T1^3*T2 + 
      371*T1^4*T2 + 1857*T1^5*T2 - 1543*T1^6*T2 + 454*T1^7*T2 - 1334*T2^2 + 
      4175*T1*T2^2 - 4383*T1^2*T2^2 - 1831*T1^3*T2^2 + 7582*T1^4*T2^2 - 
      7543*T1^5*T2^2 + 2001*T1^6*T2^2 + 983*T1^7*T2^2 - 662*T1^8*T2^2 + 
      1680*T2^3 - 3239*T1*T2^3 - 1831*T1^2*T2^3 + 13045*T1^3*T2^3 - 
      14128*T1^4*T2^3 + 4379*T1^5*T2^3 + 6832*T1^6*T2^3 - 6010*T1^7*T2^3 + 
      1207*T1^8*T2^3 + 408*T1^9*T2^3 - 1334*T2^4 + 371*T1*T2^4 + 
      7582*T1^2*T2^4 - 14128*T1^3*T2^4 + 1707*T1^4*T2^4 + 15061*T1^5*T2^4 - 
      19763*T1^6*T2^4 + 6330*T1^7*T2^4 + 2561*T1^8*T2^4 - 1985*T1^9*T2^4 + 
      10*T1^10*T2^4 + 606*T2^5 + 1857*T1*T2^5 - 7543*T1^2*T2^5 + 
      4379*T1^3*T2^5 + 15061*T1^4*T2^5 - 24117*T1^5*T2^5 + 12971*T1^6*T2^5 + 
      7417*T1^7*T2^5 - 10226*T1^8*T2^5 + 2768*T1^9*T2^5 + 679*T1^10*T2^5 - 
      154*T1^11*T2^5 - 128*T2^6 - 1543*T1*T2^6 + 2001*T1^2*T2^6 + 
      6832*T1^3*T2^6 - 19763*T1^4*T2^6 + 12971*T1^5*T2^6 + 7752*T1^6*T2^6 - 
      20481*T1^7*T2^6 + 11019*T1^8*T2^6 + 1096*T1^9*T2^6 - 2645*T1^10*T2^6 + 
      433*T1^11*T2^6 + 64*T1^12*T2^6 + 454*T1*T2^7 + 983*T1^2*T2^7 - 
      6010*T1^3*T2^7 + 6330*T1^4*T2^7 + 7417*T1^5*T2^7 - 20481*T1^6*T2^7 + 
      16607*T1^7*T2^7 - 227*T1^8*T2^7 - 8275*T1^9*T2^7 + 4301*T1^10*T2^7 - 
      195*T1^11*T2^7 - 306*T1^12*T2^7 - 662*T1^2*T2^8 + 1207*T1^3*T2^8 + 
      2561*T1^4*T2^8 - 10226*T1^5*T2^8 + 11019*T1^6*T2^8 - 227*T1^7*T2^8 - 
      10451*T1^8*T2^8 + 10232*T1^9*T2^8 - 2460*T1^10*T2^8 - 1149*T1^11*T2^8 + 
      682*T1^12*T2^8 + 408*T1^3*T2^9 - 1985*T1^4*T2^9 + 2768*T1^5*T2^9 + 
      1096*T1^6*T2^9 - 8275*T1^7*T2^9 + 10232*T1^8*T2^9 - 5117*T1^9*T2^9 - 
      1411*T1^10*T2^9 + 2461*T1^11*T2^9 - 864*T1^12*T2^9 + 10*T1^4*T2^10 + 
      679*T1^5*T2^10 - 2645*T1^6*T2^10 + 4301*T1^7*T2^10 - 2460*T1^8*T2^10 - 
      1411*T1^9*T2^10 + 3739*T1^10*T2^10 - 2513*T1^11*T2^10 + 
      682*T1^12*T2^10 - 154*T1^5*T2^11 + 433*T1^6*T2^11 - 195*T1^7*T2^11 - 
      1149*T1^8*T2^11 + 2461*T1^9*T2^11 - 2513*T1^10*T2^11 + 
      1307*T1^11*T2^11 - 306*T1^12*T2^11 + 64*T1^6*T2^12 - 306*T1^7*T2^12 + 
      682*T1^8*T2^12 - 864*T1^9*T2^12 + 682*T1^10*T2^12 - 306*T1^11*T2^12 + 
      64*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 430] -> 
  {((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   (-15 + 77*T1 - 212*T1^2 + 359*T1^3 - 425*T1^4 + 359*T1^5 - 212*T1^6 + 
     77*T1^7 - 15*T1^8 + 77*T2 - 356*T1*T2 + 885*T1^2*T2 - 1281*T1^3*T2 + 
     1232*T1^4*T2 - 728*T1^5*T2 + 159*T1^6*T2 + 145*T1^7*T2 - 116*T1^8*T2 + 
     37*T1^9*T2 - 212*T2^2 + 885*T1*T2^2 - 1955*T1^2*T2^2 + 2240*T1^3*T2^2 - 
     1314*T1^4*T2^2 - 349*T1^5*T2^2 + 1494*T1^6*T2^2 - 1540*T1^7*T2^2 + 
     745*T1^8*T2^2 - 195*T1^9*T2^2 + 4*T1^10*T2^2 + 359*T2^3 - 1281*T1*T2^3 + 
     2240*T1^2*T2^3 - 1114*T1^3*T2^3 - 1550*T1^4*T2^3 + 3705*T1^5*T2^3 - 
     3315*T1^6*T2^3 + 880*T1^7*T2^3 + 1586*T1^8*T2^3 - 1810*T1^9*T2^3 + 
     879*T1^10*T2^3 - 181*T1^11*T2^3 - 425*T2^4 + 1232*T1*T2^4 - 
     1314*T1^2*T2^4 - 1550*T1^3*T2^4 + 4553*T1^4*T2^4 - 4059*T1^5*T2^4 - 
     131*T1^6*T2^4 + 4501*T1^7*T2^4 - 5323*T1^8*T2^4 + 1870*T1^9*T2^4 + 
     1134*T1^10*T2^4 - 1208*T1^11*T2^4 + 423*T1^12*T2^4 + 359*T2^5 - 
     728*T1*T2^5 - 349*T1^2*T2^5 + 3705*T1^3*T2^5 - 4059*T1^4*T2^5 - 
     2271*T1^5*T2^5 + 9514*T1^6*T2^5 - 11726*T1^7*T2^5 + 6189*T1^8*T2^5 + 
     1866*T1^9*T2^5 - 4395*T1^10*T2^5 + 971*T1^11*T2^5 + 592*T1^12*T2^5 - 
     541*T1^13*T2^5 - 212*T2^6 + 159*T1*T2^6 + 1494*T1^2*T2^6 - 
     3315*T1^3*T2^6 - 131*T1^4*T2^6 + 9514*T1^5*T2^6 - 11266*T1^6*T2^6 + 
     4216*T1^7*T2^6 + 8246*T1^8*T2^6 - 13436*T1^9*T2^6 + 7591*T1^10*T2^6 + 
     2085*T1^11*T2^6 - 2034*T1^12*T2^6 + 519*T1^13*T2^6 + 436*T1^14*T2^6 + 
     77*T2^7 + 145*T1*T2^7 - 1540*T1^2*T2^7 + 880*T1^3*T2^7 + 
     4501*T1^4*T2^7 - 11726*T1^5*T2^7 + 4216*T1^6*T2^7 + 6194*T1^7*T2^7 - 
     13366*T1^8*T2^7 + 5971*T1^9*T2^7 + 6094*T1^10*T2^7 - 11964*T1^11*T2^7 + 
     2410*T1^12*T2^7 + 890*T1^13*T2^7 - 1155*T1^14*T2^7 - 203*T1^15*T2^7 - 
     15*T2^8 - 116*T1*T2^8 + 745*T1^2*T2^8 + 1586*T1^3*T2^8 - 
     5323*T1^4*T2^8 + 6189*T1^5*T2^8 + 8246*T1^6*T2^8 - 13366*T1^7*T2^8 + 
     10200*T1^8*T2^8 + 4554*T1^9*T2^8 - 10924*T1^10*T2^8 + 6579*T1^11*T2^8 + 
     7605*T1^12*T2^8 - 4714*T1^13*T2^8 + 1441*T1^14*T2^8 + 764*T1^15*T2^8 + 
     49*T1^16*T2^8 + 37*T1*T2^9 - 195*T1^2*T2^9 - 1810*T1^3*T2^9 + 
     1870*T1^4*T2^9 + 1866*T1^5*T2^9 - 13436*T1^6*T2^9 + 5971*T1^7*T2^9 + 
     4554*T1^8*T2^9 - 15006*T1^9*T2^9 + 7726*T1^10*T2^9 + 4384*T1^11*T2^9 - 
     14599*T1^12*T2^9 + 3400*T1^13*T2^9 + 620*T1^14*T2^9 - 1495*T1^15*T2^9 - 
     243*T1^16*T2^9 + 4*T1^2*T2^10 + 879*T1^3*T2^10 + 1134*T1^4*T2^10 - 
     4395*T1^5*T2^10 + 7591*T1^6*T2^10 + 6094*T1^7*T2^10 - 10924*T1^8*T2^10 + 
     7726*T1^9*T2^10 + 8588*T1^10*T2^10 - 16856*T1^11*T2^10 + 
     15313*T1^12*T2^10 + 1005*T1^13*T2^10 - 2394*T1^14*T2^10 + 
     1239*T1^15*T2^10 + 652*T1^16*T2^10 - 181*T1^3*T2^11 - 1208*T1^4*T2^11 + 
     971*T1^5*T2^11 + 2085*T1^6*T2^11 - 11964*T1^7*T2^11 + 6579*T1^8*T2^11 + 
     4384*T1^9*T2^11 - 16856*T1^10*T2^11 + 15039*T1^11*T2^11 - 
     6039*T1^12*T2^11 - 6015*T1^13*T2^11 + 2291*T1^14*T2^11 + 
     112*T1^15*T2^11 - 1081*T1^16*T2^11 + 423*T1^4*T2^12 + 592*T1^5*T2^12 - 
     2034*T1^6*T2^12 + 2410*T1^7*T2^12 + 7605*T1^8*T2^12 - 14599*T1^9*T2^12 + 
     15313*T1^10*T2^12 - 6039*T1^11*T2^12 - 2271*T1^12*T2^12 + 
     5830*T1^13*T2^12 + 414*T1^14*T2^12 - 1848*T1^15*T2^12 + 
     1271*T1^16*T2^12 - 541*T1^5*T2^13 + 519*T1^6*T2^13 + 890*T1^7*T2^13 - 
     4714*T1^8*T2^13 + 3400*T1^9*T2^13 + 1005*T1^10*T2^13 - 
     6015*T1^11*T2^13 + 5830*T1^12*T2^13 - 2014*T1^13*T2^13 - 
     3160*T1^14*T2^13 + 2679*T1^15*T2^13 - 1081*T1^16*T2^13 + 
     436*T1^6*T2^14 - 1155*T1^7*T2^14 + 1441*T1^8*T2^14 + 620*T1^9*T2^14 - 
     2394*T1^10*T2^14 + 2291*T1^11*T2^14 + 414*T1^12*T2^14 - 
     3160*T1^13*T2^14 + 4141*T1^14*T2^14 - 2235*T1^15*T2^14 + 
     652*T1^16*T2^14 - 203*T1^7*T2^15 + 764*T1^8*T2^15 - 1495*T1^9*T2^15 + 
     1239*T1^10*T2^15 + 112*T1^11*T2^15 - 1848*T1^12*T2^15 + 
     2679*T1^13*T2^15 - 2235*T1^14*T2^15 + 1004*T1^15*T2^15 - 
     243*T1^16*T2^15 + 49*T1^8*T2^16 - 243*T1^9*T2^16 + 652*T1^10*T2^16 - 
     1081*T1^11*T2^16 + 1271*T1^12*T2^16 - 1081*T1^13*T2^16 + 
     652*T1^14*T2^16 - 243*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 431] -> 
  {(8 - 31*T + 61*T^2 - 75*T^3 + 61*T^4 - 31*T^5 + 8*T^6)/T^3, 
   -((3160 - 12093*T1 + 23651*T1^2 - 29014*T1^3 + 23651*T1^4 - 12093*T1^5 + 
      3160*T1^6 - 12093*T2 + 36308*T1*T2 - 52199*T1^2*T2 + 35814*T1^3*T2 + 
      2086*T1^4*T2 - 29383*T1^5*T2 + 26636*T1^6*T2 - 10109*T1^7*T2 + 
      23651*T2^2 - 52199*T1*T2^2 + 44826*T1^2*T2^2 + 13518*T1^3*T2^2 - 
      63052*T1^4*T2^2 + 56462*T1^5*T2^2 - 6902*T1^6*T2^2 - 21943*T1^7*T2^2 + 
      15843*T1^8*T2^2 - 29014*T2^3 + 35814*T1*T2^3 + 13518*T1^2*T2^3 - 
      87587*T1^3*T2^3 + 84338*T1^4*T2^3 - 7238*T1^5*T2^3 - 63015*T1^6*T2^3 + 
      49569*T1^7*T2^3 - 4858*T1^8*T2^3 - 14614*T1^9*T2^3 + 23651*T2^4 + 
      2086*T1*T2^4 - 63052*T1^2*T2^4 + 84338*T1^3*T2^4 + 7449*T1^4*T2^4 - 
      105115*T1^5*T2^4 + 108593*T1^6*T2^4 - 15712*T1^7*T2^4 - 
      37974*T1^8*T2^4 + 25398*T1^9*T2^4 + 8035*T1^10*T2^4 - 12093*T2^5 - 
      29383*T1*T2^5 + 56462*T1^2*T2^5 - 7238*T1^3*T2^5 - 105115*T1^4*T2^5 + 
      121614*T1^5*T2^5 - 27030*T1^6*T2^5 - 79434*T1^7*T2^5 + 
      67390*T1^8*T2^5 - 7161*T1^9*T2^5 - 22439*T1^10*T2^5 - 2173*T1^11*T2^5 + 
      3160*T2^6 + 26636*T1*T2^6 - 6902*T1^2*T2^6 - 63015*T1^3*T2^6 + 
      108593*T1^4*T2^6 - 27030*T1^5*T2^6 - 83676*T1^6*T2^6 + 
      108590*T1^7*T2^6 - 20957*T1^8*T2^6 - 37997*T1^9*T2^6 + 
      29302*T1^10*T2^6 + 7788*T1^11*T2^6 + 88*T1^12*T2^6 - 10109*T1*T2^7 - 
      21943*T1^2*T2^7 + 49569*T1^3*T2^7 - 15712*T1^4*T2^7 - 79434*T1^5*T2^7 + 
      108590*T1^6*T2^7 - 40054*T1^7*T2^7 - 53753*T1^8*T2^7 + 
      58916*T1^9*T2^7 - 14054*T1^10*T2^7 - 14999*T1^11*T2^7 - 
      189*T1^12*T2^7 + 15843*T1^2*T2^8 - 4858*T1^3*T2^8 - 37974*T1^4*T2^8 + 
      67390*T1^5*T2^8 - 20957*T1^6*T2^8 - 53753*T1^7*T2^8 + 80187*T1^8*T2^8 - 
      32660*T1^9*T2^8 - 12896*T1^10*T2^8 + 18454*T1^11*T2^8 + 
      227*T1^12*T2^8 - 14614*T1^3*T2^9 + 25398*T1^4*T2^9 - 7161*T1^5*T2^9 - 
      37997*T1^6*T2^9 + 58916*T1^7*T2^9 - 32660*T1^8*T2^9 - 13425*T1^9*T2^9 + 
      28890*T1^10*T2^9 - 15274*T1^11*T2^9 - 214*T1^12*T2^9 + 
      8035*T1^4*T2^10 - 22439*T1^5*T2^10 + 29302*T1^6*T2^10 - 
      14054*T1^7*T2^10 - 12896*T1^8*T2^10 + 28890*T1^9*T2^10 - 
      22426*T1^10*T2^10 + 7817*T1^11*T2^10 + 227*T1^12*T2^10 - 
      2173*T1^5*T2^11 + 7788*T1^6*T2^11 - 14999*T1^7*T2^11 + 
      18454*T1^8*T2^11 - 15274*T1^9*T2^11 + 7817*T1^10*T2^11 - 
      1884*T1^11*T2^11 - 189*T1^12*T2^11 + 88*T1^6*T2^12 - 189*T1^7*T2^12 + 
      227*T1^8*T2^12 - 214*T1^9*T2^12 + 227*T1^10*T2^12 - 189*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 432] -> 
  {(7 - 25*T + 46*T^2 - 55*T^3 + 46*T^4 - 25*T^5 + 7*T^6)/T^3, 
   -((2149 - 7575*T1 + 13828*T1^2 - 16479*T1^3 + 13828*T1^4 - 7575*T1^5 + 
      2149*T1^6 - 7575*T2 + 20455*T1*T2 - 26629*T1^2*T2 + 17518*T1^3*T2 - 
      157*T1^4*T2 - 14204*T1^5*T2 + 14855*T1^6*T2 - 6350*T1^7*T2 + 
      13828*T2^2 - 26629*T1*T2^2 + 19447*T1^2*T2^2 + 6229*T1^3*T2^2 - 
      24827*T1^4*T2^2 + 25549*T1^5*T2^2 - 5669*T1^6*T2^2 - 10529*T1^7*T2^2 + 
      9320*T1^8*T2^2 - 16479*T2^3 + 17518*T1*T2^3 + 6229*T1^2*T2^3 - 
      32173*T1^3*T2^3 + 28024*T1^4*T2^3 - 6121*T1^5*T2^3 - 22133*T1^6*T2^3 + 
      22559*T1^7*T2^3 - 3307*T1^8*T2^3 - 8394*T1^9*T2^3 + 13828*T2^4 - 
      157*T1*T2^4 - 24827*T1^2*T2^4 + 28024*T1^3*T2^4 + 3036*T1^4*T2^4 - 
      26850*T1^5*T2^4 + 35304*T1^6*T2^4 - 8386*T1^7*T2^4 - 15325*T1^8*T2^4 + 
      12793*T1^9*T2^4 + 4812*T1^10*T2^4 - 7575*T2^5 - 14204*T1*T2^5 + 
      25549*T1^2*T2^5 - 6121*T1^3*T2^5 - 26850*T1^4*T2^5 + 27273*T1^5*T2^5 - 
      11307*T1^6*T2^5 - 20870*T1^7*T2^5 + 23494*T1^8*T2^5 - 2741*T1^9*T2^5 - 
      11929*T1^10*T2^5 - 1450*T1^11*T2^5 + 2149*T2^6 + 14855*T1*T2^6 - 
      5669*T1^2*T2^6 - 22133*T1^3*T2^6 + 35304*T1^4*T2^6 - 11307*T1^5*T2^6 - 
      10932*T1^6*T2^6 + 25503*T1^7*T2^6 - 5768*T1^8*T2^6 - 15163*T1^9*T2^6 + 
      13683*T1^10*T2^6 + 4705*T1^11*T2^6 + 91*T1^12*T2^6 - 6350*T1*T2^7 - 
      10529*T1^2*T2^7 + 22559*T1^3*T2^7 - 8386*T1^4*T2^7 - 20870*T1^5*T2^7 + 
      25503*T1^6*T2^7 - 13077*T1^7*T2^7 - 14890*T1^8*T2^7 + 21229*T1^9*T2^7 - 
      5731*T1^10*T2^7 - 8254*T1^11*T2^7 - 225*T1^12*T2^7 + 9320*T1^2*T2^8 - 
      3307*T1^3*T2^8 - 15325*T1^4*T2^8 + 23494*T1^5*T2^8 - 5768*T1^6*T2^8 - 
      14890*T1^7*T2^8 + 26500*T1^8*T2^8 - 12916*T1^9*T2^8 - 5823*T1^10*T2^8 + 
      9643*T1^11*T2^8 + 304*T1^12*T2^8 - 8394*T1^3*T2^9 + 12793*T1^4*T2^9 - 
      2741*T1^5*T2^9 - 15163*T1^6*T2^9 + 21229*T1^7*T2^9 - 12916*T1^8*T2^9 - 
      5123*T1^9*T2^9 + 13589*T1^10*T2^9 - 8032*T1^11*T2^9 - 309*T1^12*T2^9 + 
      4812*T1^4*T2^10 - 11929*T1^5*T2^10 + 13683*T1^6*T2^10 - 
      5731*T1^7*T2^10 - 5823*T1^8*T2^10 + 13589*T1^9*T2^10 - 
      11433*T1^10*T2^10 + 4171*T1^11*T2^10 + 304*T1^12*T2^10 - 
      1450*T1^5*T2^11 + 4705*T1^6*T2^11 - 8254*T1^7*T2^11 + 9643*T1^8*T2^11 - 
      8032*T1^9*T2^11 + 4171*T1^10*T2^11 - 895*T1^11*T2^11 - 
      225*T1^12*T2^11 + 91*T1^6*T2^12 - 225*T1^7*T2^12 + 304*T1^8*T2^12 - 
      309*T1^9*T2^12 + 304*T1^10*T2^12 - 225*T1^11*T2^12 + 91*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 433] -> 
  {-(((1 - T + T^2)*(3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4))/T^3), 
   -((-138 + 872*T1 - 2010*T1^2 + 2600*T1^3 - 2010*T1^4 + 872*T1^5 - 
      138*T1^6 + 872*T2 - 4813*T1*T2 + 8291*T1^2*T2 - 6248*T1^3*T2 - 
      491*T1^4*T2 + 4700*T1^5*T2 - 3559*T1^6*T2 + 701*T1^7*T2 - 2010*T2^2 + 
      8291*T1*T2^2 - 2661*T1^2*T2^2 - 18714*T1^3*T2^2 + 36259*T1^4*T2^2 - 
      28746*T1^5*T2^2 + 8163*T1^6*T2^2 + 3275*T1^7*T2^2 - 1218*T1^8*T2^2 + 
      2600*T2^3 - 6248*T1*T2^3 - 18714*T1^2*T2^3 + 52221*T1^3*T2^3 - 
      49392*T1^4*T2^3 + 2725*T1^5*T2^3 + 30333*T1^6*T2^3 - 22894*T1^7*T2^3 + 
      991*T1^8*T2^3 + 1061*T1^9*T2^3 - 2010*T2^4 - 491*T1*T2^4 + 
      36259*T1^2*T2^4 - 49392*T1^3*T2^4 + 2193*T1^4*T2^4 + 62031*T1^5*T2^4 - 
      58467*T1^6*T2^4 + 9318*T1^7*T2^4 + 18337*T1^8*T2^4 - 4025*T1^9*T2^4 - 
      426*T1^10*T2^4 + 872*T2^5 + 4700*T1*T2^5 - 28746*T1^2*T2^5 + 
      2725*T1^3*T2^5 + 62031*T1^4*T2^5 - 83677*T1^5*T2^5 + 17897*T1^6*T2^5 + 
      41967*T1^7*T2^5 - 36206*T1^8*T2^5 - 1158*T1^9*T2^5 + 2591*T1^10*T2^5 + 
      17*T1^11*T2^5 - 138*T2^6 - 3559*T1*T2^6 + 8163*T1^2*T2^6 + 
      30333*T1^3*T2^6 - 58467*T1^4*T2^6 + 17897*T1^5*T2^6 + 60312*T1^6*T2^6 - 
      71061*T1^7*T2^6 + 20353*T1^8*T2^6 + 17223*T1^9*T2^6 - 5281*T1^10*T2^6 - 
      253*T1^11*T2^6 + 24*T1^12*T2^6 + 701*T1*T2^7 + 3275*T1^2*T2^7 - 
      22894*T1^3*T2^7 + 9318*T1^4*T2^7 + 41967*T1^5*T2^7 - 71061*T1^6*T2^7 + 
      30513*T1^7*T2^7 + 21903*T1^8*T2^7 - 29613*T1^9*T2^7 + 4694*T1^10*T2^7 + 
      1166*T1^11*T2^7 - 154*T1^12*T2^7 - 1218*T1^2*T2^8 + 991*T1^3*T2^8 + 
      18337*T1^4*T2^8 - 36206*T1^5*T2^8 + 20353*T1^6*T2^8 + 21903*T1^7*T2^8 - 
      40307*T1^8*T2^8 + 22504*T1^9*T2^8 + 415*T1^10*T2^8 - 2543*T1^11*T2^8 + 
      366*T1^12*T2^8 + 1061*T1^3*T2^9 - 4025*T1^4*T2^9 - 1158*T1^5*T2^9 + 
      17223*T1^6*T2^9 - 29613*T1^7*T2^9 + 22504*T1^8*T2^9 - 4665*T1^9*T2^9 - 
      5338*T1^10*T2^9 + 3214*T1^11*T2^9 - 478*T1^12*T2^9 - 426*T1^4*T2^10 + 
      2591*T1^5*T2^10 - 5281*T1^6*T2^10 + 4694*T1^7*T2^10 + 415*T1^8*T2^10 - 
      5338*T1^9*T2^10 + 5543*T1^10*T2^10 - 2425*T1^11*T2^10 + 
      366*T1^12*T2^10 + 17*T1^5*T2^11 - 253*T1^6*T2^11 + 1166*T1^7*T2^11 - 
      2543*T1^8*T2^11 + 3214*T1^9*T2^11 - 2425*T1^10*T2^11 + 
      1001*T1^11*T2^11 - 154*T1^12*T2^11 + 24*T1^6*T2^12 - 154*T1^7*T2^12 + 
      366*T1^8*T2^12 - 478*T1^9*T2^12 + 366*T1^10*T2^12 - 154*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 434] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6))/T^4), 
   -((-3 + 24*T1 - 69*T1^2 + 123*T1^3 - 147*T1^4 + 123*T1^5 - 69*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 425*T1^2*T2 - 619*T1^3*T2 + 
      522*T1^4*T2 - 198*T1^5*T2 - 107*T1^6*T2 + 177*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 69*T2^2 + 425*T1*T2^2 - 591*T1^2*T2^2 + 77*T1^3*T2^2 + 
      1350*T1^4*T2^2 - 2529*T1^5*T2^2 + 2546*T1^6*T2^2 - 1441*T1^7*T2^2 + 
      421*T1^8*T2^2 + 57*T1^9*T2^2 - 23*T1^10*T2^2 + 123*T2^3 - 619*T1*T2^3 + 
      77*T1^2*T2^3 + 1913*T1^3*T2^3 - 4812*T1^4*T2^3 + 5441*T1^5*T2^3 - 
      3247*T1^6*T2^3 - 47*T1^7*T2^3 + 1375*T1^8*T2^3 - 1096*T1^9*T2^3 + 
      181*T1^10*T2^3 - 147*T2^4 + 522*T1*T2^4 + 1350*T1^2*T2^4 - 
      4812*T1^3*T2^4 + 7885*T1^4*T2^4 - 5633*T1^5*T2^4 - 123*T1^6*T2^4 + 
      4955*T1^7*T2^4 - 4355*T1^8*T2^4 + 1584*T1^9*T2^4 + 610*T1^10*T2^4 - 
      390*T1^11*T2^4 + 49*T1^12*T2^4 + 123*T2^5 - 198*T1*T2^5 - 
      2529*T1^2*T2^5 + 5441*T1^3*T2^5 - 5633*T1^4*T2^5 - 876*T1^5*T2^5 + 
      7644*T1^6*T2^5 - 8317*T1^7*T2^5 + 1054*T1^8*T2^5 + 4481*T1^9*T2^5 - 
      4715*T1^10*T2^5 + 1221*T1^11*T2^5 + 266*T1^12*T2^5 - 82*T1^13*T2^5 - 
      69*T2^6 - 107*T1*T2^6 + 2546*T1^2*T2^6 - 3247*T1^3*T2^6 - 
      123*T1^4*T2^6 + 7644*T1^5*T2^6 - 9700*T1^6*T2^6 + 2220*T1^7*T2^6 + 
      8644*T1^8*T2^6 - 9420*T1^9*T2^6 + 2435*T1^10*T2^6 + 3239*T1^11*T2^6 - 
      2522*T1^12*T2^6 + 101*T1^13*T2^6 + 69*T1^14*T2^6 + 24*T2^7 + 
      177*T1*T2^7 - 1441*T1^2*T2^7 - 47*T1^3*T2^7 + 4955*T1^4*T2^7 - 
      8317*T1^5*T2^7 + 2220*T1^6*T2^7 + 11066*T1^7*T2^7 - 16704*T1^8*T2^7 + 
      6895*T1^9*T2^7 + 5438*T1^10*T2^7 - 7055*T1^11*T2^7 + 1712*T1^12*T2^7 + 
      1802*T1^13*T2^7 - 295*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 421*T1^2*T2^8 + 1375*T1^3*T2^8 - 4355*T1^4*T2^8 + 
      1054*T1^5*T2^8 + 8644*T1^6*T2^8 - 16704*T1^7*T2^8 + 7956*T1^8*T2^8 + 
      9264*T1^9*T2^8 - 16294*T1^10*T2^8 + 6750*T1^11*T2^8 + 2065*T1^12*T2^8 - 
      3687*T1^13*T2^8 - 351*T1^14*T2^8 + 216*T1^15*T2^8 + 5*T1^16*T2^8 + 
      16*T1*T2^9 + 57*T1^2*T2^9 - 1096*T1^3*T2^9 + 1584*T1^4*T2^9 + 
      4481*T1^5*T2^9 - 9420*T1^6*T2^9 + 6895*T1^7*T2^9 + 9264*T1^8*T2^9 - 
      18506*T1^9*T2^9 + 11570*T1^10*T2^9 + 4335*T1^11*T2^9 - 
      7529*T1^12*T2^9 + 3343*T1^13*T2^9 + 2147*T1^14*T2^9 - 415*T1^15*T2^9 - 
      40*T1^16*T2^9 - 23*T1^2*T2^10 + 181*T1^3*T2^10 + 610*T1^4*T2^10 - 
      4715*T1^5*T2^10 + 2435*T1^6*T2^10 + 5438*T1^7*T2^10 - 
      16294*T1^8*T2^10 + 11570*T1^9*T2^10 + 2050*T1^10*T2^10 - 
      11626*T1^11*T2^10 + 4993*T1^12*T2^10 + 1771*T1^13*T2^10 - 
      4458*T1^14*T2^10 + 389*T1^15*T2^10 + 115*T1^16*T2^10 - 390*T1^4*T2^11 + 
      1221*T1^5*T2^11 + 3239*T1^6*T2^11 - 7055*T1^7*T2^11 + 6750*T1^8*T2^11 + 
      4335*T1^9*T2^11 - 11626*T1^10*T2^11 + 8680*T1^11*T2^11 + 
      3059*T1^12*T2^11 - 6917*T1^13*T2^11 + 4971*T1^14*T2^11 + 
      74*T1^15*T2^11 - 205*T1^16*T2^11 + 49*T1^4*T2^12 + 266*T1^5*T2^12 - 
      2522*T1^6*T2^12 + 1712*T1^7*T2^12 + 2065*T1^8*T2^12 - 7529*T1^9*T2^12 + 
      4993*T1^10*T2^12 + 3059*T1^11*T2^12 - 10175*T1^12*T2^12 + 
      8108*T1^13*T2^12 - 3262*T1^14*T2^12 - 646*T1^15*T2^12 + 
      245*T1^16*T2^12 - 82*T1^5*T2^13 + 101*T1^6*T2^13 + 1802*T1^7*T2^13 - 
      3687*T1^8*T2^13 + 3343*T1^9*T2^13 + 1771*T1^10*T2^13 - 
      6917*T1^11*T2^13 + 8108*T1^12*T2^13 - 4225*T1^13*T2^13 + 
      629*T1^14*T2^13 + 901*T1^15*T2^13 - 205*T1^16*T2^13 + 69*T1^6*T2^14 - 
      295*T1^7*T2^14 - 351*T1^8*T2^14 + 2147*T1^9*T2^14 - 4458*T1^10*T2^14 + 
      4971*T1^11*T2^14 - 3262*T1^12*T2^14 + 629*T1^13*T2^14 + 
      661*T1^14*T2^14 - 663*T1^15*T2^14 + 115*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 415*T1^9*T2^15 + 389*T1^10*T2^15 + 74*T1^11*T2^15 - 
      646*T1^12*T2^15 + 901*T1^13*T2^15 - 663*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 115*T1^10*T2^16 - 
      205*T1^11*T2^16 + 245*T1^12*T2^16 - 205*T1^13*T2^16 + 115*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 435] -> {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (4*(1 - 3*T1 + T1^2)^2*(1 - T1 + T1^2)^2*(-1 + T1*T2)^2*(1 + T1*T2)*
     (1 - 3*T2 + T2^2)^2*(1 - T2 + T2^2)^2*(1 - 3*T1*T2 + T1^2*T2^2)*
     (1 - T1*T2 + T1^2*T2^2))/(T1^9*T2^8)}, Knot[12, Alternating, 436] -> 
  {-((1 - 7*T + 18*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 18*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 54*T1^2 + 87*T1^3 - 99*T1^4 + 87*T1^5 - 54*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 280*T1^2*T2 - 357*T1^3*T2 + 
      287*T1^4*T2 - 147*T1^5*T2 - 28*T1^6*T2 + 105*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 54*T2^2 + 280*T1*T2^2 - 305*T1^2*T2^2 - 68*T1^3*T2^2 + 
      730*T1^4*T2^2 - 1139*T1^5*T2^2 + 1270*T1^6*T2^2 - 860*T1^7*T2^2 + 
      307*T1^8*T2^2 + 28*T1^9*T2^2 - 18*T1^10*T2^2 + 87*T2^3 - 357*T1*T2^3 - 
      68*T1^2*T2^3 + 1103*T1^3*T2^3 - 2124*T1^4*T2^3 + 2110*T1^5*T2^3 - 
      1613*T1^6*T2^3 + 318*T1^7*T2^3 + 563*T1^8*T2^3 - 626*T1^9*T2^3 + 
      126*T1^10*T2^3 - 99*T2^4 + 287*T1*T2^4 + 730*T1^2*T2^4 - 
      2124*T1^3*T2^4 + 2775*T1^4*T2^4 - 1699*T1^5*T2^4 + 457*T1^6*T2^4 + 
      1487*T1^7*T2^4 - 1933*T1^8*T2^4 + 950*T1^9*T2^4 + 264*T1^10*T2^4 - 
      231*T1^11*T2^4 + 33*T1^12*T2^4 + 87*T2^5 - 147*T1*T2^5 - 
      1139*T1^2*T2^5 + 2110*T1^3*T2^5 - 1699*T1^4*T2^5 - 174*T1^5*T2^5 + 
      1140*T1^6*T2^5 - 2278*T1^7*T2^5 + 990*T1^8*T2^5 + 1256*T1^9*T2^5 - 
      1983*T1^10*T2^5 + 580*T1^11*T2^5 + 175*T1^12*T2^5 - 58*T1^13*T2^5 - 
      54*T2^6 - 28*T1*T2^6 + 1270*T1^2*T2^6 - 1613*T1^3*T2^6 + 
      457*T1^4*T2^6 + 1140*T1^5*T2^6 - 1207*T1^6*T2^6 + 1389*T1^7*T2^6 + 
      585*T1^8*T2^6 - 2144*T1^9*T2^6 + 669*T1^10*T2^6 + 1555*T1^11*T2^6 - 
      1282*T1^12*T2^6 + 28*T1^13*T2^6 + 54*T1^14*T2^6 + 21*T2^7 + 
      105*T1*T2^7 - 860*T1^2*T2^7 + 318*T1^3*T2^7 + 1487*T1^4*T2^7 - 
      2278*T1^5*T2^7 + 1389*T1^6*T2^7 - 422*T1^7*T2^7 - 1512*T1^8*T2^7 + 
      1746*T1^9*T2^7 + 1408*T1^10*T2^7 - 2392*T1^11*T2^7 + 404*T1^12*T2^7 + 
      1102*T1^13*T2^7 - 182*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 
      77*T1*T2^8 + 307*T1^2*T2^8 + 563*T1^3*T2^8 - 1933*T1^4*T2^8 + 
      990*T1^5*T2^8 + 585*T1^6*T2^8 - 1512*T1^7*T2^8 + 1344*T1^8*T2^8 + 
      148*T1^9*T2^8 - 3329*T1^10*T2^8 + 1470*T1^11*T2^8 + 1359*T1^12*T2^8 - 
      1767*T1^13*T2^8 - 311*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 28*T1^2*T2^9 - 626*T1^3*T2^9 + 950*T1^4*T2^9 + 
      1256*T1^5*T2^9 - 2144*T1^6*T2^9 + 1746*T1^7*T2^9 + 148*T1^8*T2^9 - 
      942*T1^9*T2^9 + 2103*T1^10*T2^9 + 1542*T1^11*T2^9 - 2623*T1^12*T2^9 + 
      1036*T1^13*T2^9 + 1336*T1^14*T2^9 - 259*T1^15*T2^9 - 35*T1^16*T2^9 - 
      18*T1^2*T2^10 + 126*T1^3*T2^10 + 264*T1^4*T2^10 - 1983*T1^5*T2^10 + 
      669*T1^6*T2^10 + 1408*T1^7*T2^10 - 3329*T1^8*T2^10 + 2103*T1^9*T2^10 - 
      1537*T1^10*T2^10 - 1876*T1^11*T2^10 + 881*T1^12*T2^10 + 
      1185*T1^13*T2^10 - 2288*T1^14*T2^10 + 182*T1^15*T2^10 + 
      90*T1^16*T2^10 - 231*T1^4*T2^11 + 580*T1^5*T2^11 + 1555*T1^6*T2^11 - 
      2392*T1^7*T2^11 + 1470*T1^8*T2^11 + 1542*T1^9*T2^11 - 
      1876*T1^10*T2^11 + 2634*T1^11*T2^11 + 563*T1^12*T2^11 - 
      2538*T1^13*T2^11 + 2299*T1^14*T2^11 + 91*T1^15*T2^11 - 
      145*T1^16*T2^11 + 33*T1^4*T2^12 + 175*T1^5*T2^12 - 1282*T1^6*T2^12 + 
      404*T1^7*T2^12 + 1359*T1^8*T2^12 - 2623*T1^9*T2^12 + 881*T1^10*T2^12 + 
      563*T1^11*T2^12 - 3349*T1^12*T2^12 + 3478*T1^13*T2^12 - 
      1748*T1^14*T2^12 - 343*T1^15*T2^12 + 165*T1^16*T2^12 - 58*T1^5*T2^13 + 
      28*T1^6*T2^13 + 1102*T1^7*T2^13 - 1767*T1^8*T2^13 + 1036*T1^9*T2^13 + 
      1185*T1^10*T2^13 - 2538*T1^11*T2^13 + 3478*T1^12*T2^13 - 
      2307*T1^13*T2^13 + 544*T1^14*T2^13 + 511*T1^15*T2^13 - 
      145*T1^16*T2^13 + 54*T1^6*T2^14 - 182*T1^7*T2^14 - 311*T1^8*T2^14 + 
      1336*T1^9*T2^14 - 2288*T1^10*T2^14 + 2299*T1^11*T2^14 - 
      1748*T1^12*T2^14 + 544*T1^13*T2^14 + 301*T1^14*T2^14 - 
      434*T1^15*T2^14 + 90*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      259*T1^9*T2^15 + 182*T1^10*T2^15 + 91*T1^11*T2^15 - 343*T1^12*T2^15 + 
      511*T1^13*T2^15 - 434*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 90*T1^10*T2^16 - 145*T1^11*T2^16 + 
      165*T1^12*T2^16 - 145*T1^13*T2^16 + 90*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 437] -> 
  {-((2 - 14*T + 35*T^2 - 47*T^3 + 35*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 161*T1 - 403*T1^2 + 541*T1^3 - 403*T1^4 + 161*T1^5 - 23*T1^6 + 
      161*T2 - 1022*T1*T2 + 2086*T1^2*T2 - 1946*T1^3*T2 + 350*T1^4*T2 + 
      714*T1^5*T2 - 574*T1^6*T2 + 105*T1^7*T2 - 403*T2^2 + 2086*T1*T2^2 - 
      2063*T1^2*T2^2 - 2471*T1^3*T2^2 + 7965*T1^4*T2^2 - 7091*T1^5*T2^2 + 
      2557*T1^6*T2^2 + 126*T1^7*T2^2 - 123*T1^8*T2^2 + 541*T2^3 - 
      1946*T1*T2^3 - 2471*T1^2*T2^3 + 13358*T1^3*T2^3 - 18462*T1^4*T2^3 + 
      7900*T1^5*T2^3 + 3166*T1^6*T2^3 - 4501*T1^7*T2^3 + 1022*T1^8*T2^3 - 
      23*T1^9*T2^3 - 403*T2^4 + 350*T1*T2^4 + 7965*T1^2*T2^4 - 
      18462*T1^3*T2^4 + 12120*T1^4*T2^4 + 11974*T1^5*T2^4 - 22068*T1^6*T2^4 + 
      11806*T1^7*T2^4 - 659*T1^8*T2^4 - 938*T1^9*T2^4 + 157*T1^10*T2^4 + 
      161*T2^5 + 714*T1*T2^5 - 7091*T1^2*T2^5 + 7900*T1^3*T2^5 + 
      11974*T1^4*T2^5 - 36123*T1^5*T2^5 + 28977*T1^6*T2^5 - 1501*T1^7*T2^5 - 
      10650*T1^8*T2^5 + 5299*T1^9*T2^5 - 266*T1^10*T2^5 - 119*T1^11*T2^5 - 
      23*T2^6 - 574*T1*T2^6 + 2557*T1^2*T2^6 + 3166*T1^3*T2^6 - 
      22068*T1^4*T2^6 + 28977*T1^5*T2^6 - 3372*T1^6*T2^6 - 26337*T1^7*T2^6 + 
      22774*T1^8*T2^6 - 4822*T1^9*T2^6 - 2679*T1^10*T2^6 + 658*T1^11*T2^6 + 
      25*T1^12*T2^6 + 105*T1*T2^7 + 126*T1^2*T2^7 - 4501*T1^3*T2^7 + 
      11806*T1^4*T2^7 - 1501*T1^5*T2^7 - 26337*T1^6*T2^7 + 38763*T1^7*T2^7 - 
      14976*T1^8*T2^7 - 6744*T1^9*T2^7 + 7889*T1^10*T2^7 - 854*T1^11*T2^7 - 
      175*T1^12*T2^7 - 123*T1^2*T2^8 + 1022*T1^3*T2^8 - 659*T1^4*T2^8 - 
      10650*T1^5*T2^8 + 22774*T1^6*T2^8 - 14976*T1^7*T2^8 - 11414*T1^8*T2^8 + 
      19618*T1^9*T2^8 - 9283*T1^10*T2^8 - 266*T1^11*T2^8 + 437*T1^12*T2^8 - 
      23*T1^3*T2^9 - 938*T1^4*T2^9 + 5299*T1^5*T2^9 - 4822*T1^6*T2^9 - 
      6744*T1^7*T2^9 + 19618*T1^8*T2^9 - 15014*T1^9*T2^9 + 3269*T1^10*T2^9 + 
      2030*T1^11*T2^9 - 587*T1^12*T2^9 + 157*T1^4*T2^10 - 266*T1^5*T2^10 - 
      2679*T1^6*T2^10 + 7889*T1^7*T2^10 - 9283*T1^8*T2^10 + 3269*T1^9*T2^10 + 
      1941*T1^10*T2^10 - 2226*T1^11*T2^10 + 437*T1^12*T2^10 - 
      119*T1^5*T2^11 + 658*T1^6*T2^11 - 854*T1^7*T2^11 - 266*T1^8*T2^11 + 
      2030*T1^9*T2^11 - 2226*T1^10*T2^11 + 1106*T1^11*T2^11 - 
      175*T1^12*T2^11 + 25*T1^6*T2^12 - 175*T1^7*T2^12 + 437*T1^8*T2^12 - 
      587*T1^9*T2^12 + 437*T1^10*T2^12 - 175*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 438] -> 
  {((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 176*T1^3 - 212*T1^4 + 176*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 608*T1^2*T2 - 808*T1^3*T2 + 
     640*T1^4*T2 - 136*T1^5*T2 - 256*T1^6*T2 + 344*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 608*T1*T2^2 - 1013*T1^2*T2^2 - 6*T1^3*T2^2 + 
     1914*T1^4*T2^2 - 3597*T1^5*T2^2 + 3314*T1^6*T2^2 - 1806*T1^7*T2^2 + 
     187*T1^8*T2^2 + 208*T1^9*T2^2 - 50*T1^10*T2^2 + 176*T2^3 - 808*T1*T2^3 - 
     6*T1^2*T2^3 + 4140*T1^3*T2^3 - 7521*T1^4*T2^3 + 7610*T1^5*T2^3 - 
     2682*T1^6*T2^3 - 1773*T1^7*T2^3 + 3480*T1^8*T2^3 - 1506*T1^9*T2^3 + 
     48*T1^10*T2^3 + 44*T1^11*T2^3 - 212*T2^4 + 640*T1*T2^4 + 
     1914*T1^2*T2^4 - 7521*T1^3*T2^4 + 6897*T1^4*T2^4 - 17*T1^5*T2^4 - 
     10355*T1^6*T2^4 + 12063*T1^7*T2^4 - 7423*T1^8*T2^4 + 47*T1^9*T2^4 + 
     1582*T1^10*T2^4 - 352*T1^11*T2^4 + 176*T2^5 - 136*T1*T2^5 - 
     3597*T1^2*T2^5 + 7610*T1^3*T2^5 - 17*T1^4*T2^5 - 11438*T1^5*T2^5 + 
     18022*T1^6*T2^5 - 8170*T1^7*T2^5 - 3230*T1^8*T2^5 + 9263*T1^9*T2^5 - 
     4610*T1^10*T2^5 - 21*T1^11*T2^5 + 352*T1^12*T2^5 - 44*T1^13*T2^5 - 
     100*T2^6 - 256*T1*T2^6 + 3314*T1^2*T2^6 - 2682*T1^3*T2^6 - 
     10355*T1^4*T2^6 + 18022*T1^5*T2^6 - 10702*T1^6*T2^6 - 9254*T1^7*T2^6 + 
     16410*T1^8*T2^6 - 10762*T1^9*T2^6 - 757*T1^10*T2^6 + 4718*T1^11*T2^6 - 
     1550*T1^12*T2^6 - 48*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     344*T1*T2^7 - 1806*T1^2*T2^7 - 1773*T1^3*T2^7 + 12063*T1^4*T2^7 - 
     8170*T1^5*T2^7 - 9254*T1^6*T2^7 + 20722*T1^7*T2^7 - 10278*T1^8*T2^7 - 
     6046*T1^9*T2^7 + 12838*T1^10*T2^7 - 8417*T1^11*T2^7 - 241*T1^12*T2^7 + 
     1494*T1^13*T2^7 - 208*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 187*T1^2*T2^8 + 3480*T1^3*T2^8 - 7423*T1^4*T2^8 - 
     3230*T1^5*T2^8 + 16410*T1^6*T2^8 - 10278*T1^7*T2^8 - 7692*T1^8*T2^8 + 
     17290*T1^9*T2^8 - 9678*T1^10*T2^8 - 302*T1^11*T2^8 + 7629*T1^12*T2^8 - 
     3400*T1^13*T2^8 - 185*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 208*T1^2*T2^9 - 1506*T1^3*T2^9 + 47*T1^4*T2^9 + 
     9263*T1^5*T2^9 - 10762*T1^6*T2^9 - 6046*T1^7*T2^9 + 17290*T1^8*T2^9 - 
     13710*T1^9*T2^9 - 2838*T1^10*T2^9 + 10246*T1^11*T2^9 - 
     11217*T1^12*T2^9 + 1579*T1^13*T2^9 + 1794*T1^14*T2^9 - 344*T1^15*T2^9 - 
     32*T1^16*T2^9 - 50*T1^2*T2^10 + 48*T1^3*T2^10 + 1582*T1^4*T2^10 - 
     4610*T1^5*T2^10 - 757*T1^6*T2^10 + 12838*T1^7*T2^10 - 9678*T1^8*T2^10 - 
     2838*T1^9*T2^10 + 17434*T1^10*T2^10 - 15946*T1^11*T2^10 + 
     8841*T1^12*T2^10 + 2790*T1^13*T2^10 - 3282*T1^14*T2^10 + 
     256*T1^15*T2^10 + 100*T1^16*T2^10 + 44*T1^3*T2^11 - 352*T1^4*T2^11 - 
     21*T1^5*T2^11 + 4718*T1^6*T2^11 - 8417*T1^7*T2^11 - 302*T1^8*T2^11 + 
     10246*T1^9*T2^11 - 15946*T1^10*T2^11 + 7906*T1^11*T2^11 + 
     863*T1^12*T2^11 - 7502*T1^13*T2^11 + 3555*T1^14*T2^11 + 
     136*T1^15*T2^11 - 176*T1^16*T2^11 + 352*T1^5*T2^12 - 1550*T1^6*T2^12 - 
     241*T1^7*T2^12 + 7629*T1^8*T2^12 - 11217*T1^9*T2^12 + 8841*T1^10*T2^12 + 
     863*T1^11*T2^12 - 6691*T1^12*T2^12 + 7327*T1^13*T2^12 - 
     1882*T1^14*T2^12 - 640*T1^15*T2^12 + 212*T1^16*T2^12 - 44*T1^5*T2^13 - 
     48*T1^6*T2^13 + 1494*T1^7*T2^13 - 3400*T1^8*T2^13 + 1579*T1^9*T2^13 + 
     2790*T1^10*T2^13 - 7502*T1^11*T2^13 + 7327*T1^12*T2^13 - 
     4060*T1^13*T2^13 - 6*T1^14*T2^13 + 808*T1^15*T2^13 - 176*T1^16*T2^13 + 
     50*T1^6*T2^14 - 208*T1^7*T2^14 - 185*T1^8*T2^14 + 1794*T1^9*T2^14 - 
     3282*T1^10*T2^14 + 3555*T1^11*T2^14 - 1882*T1^12*T2^14 - 6*T1^13*T2^14 + 
     1015*T1^14*T2^14 - 608*T1^15*T2^14 + 100*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 344*T1^9*T2^15 + 256*T1^10*T2^15 + 136*T1^11*T2^15 - 
     640*T1^12*T2^15 + 808*T1^13*T2^15 - 608*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 100*T1^10*T2^16 - 
     176*T1^11*T2^16 + 212*T1^12*T2^16 - 176*T1^13*T2^16 + 100*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 439] -> 
  {(1 - 9*T + 34*T^2 - 71*T^3 + 91*T^4 - 71*T^5 + 34*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 136*T1^2 + 284*T1^3 - 364*T1^4 + 284*T1^5 - 136*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 981*T1^2*T2 - 1638*T1^3*T2 + 
     1359*T1^4*T2 - 99*T1^5*T2 - 693*T1^6*T2 + 594*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 136*T2^2 + 981*T1*T2^2 - 2507*T1^2*T2^2 + 2016*T1^3*T2^2 + 
     2544*T1^4*T2^2 - 7603*T1^5*T2^2 + 6420*T1^6*T2^2 - 2200*T1^7*T2^2 - 
     263*T1^8*T2^2 + 369*T1^9*T2^2 - 68*T1^10*T2^2 + 284*T2^3 - 
     1638*T1*T2^3 + 2016*T1^2*T2^3 + 5577*T1^3*T2^3 - 19129*T1^4*T2^3 + 
     22326*T1^5*T2^3 - 4881*T1^6*T2^3 - 8299*T1^7*T2^3 + 7755*T1^8*T2^3 - 
     2166*T1^9*T2^3 - 27*T1^10*T2^3 + 71*T1^11*T2^3 - 364*T2^4 + 
     1359*T1*T2^4 + 2544*T1^2*T2^4 - 19129*T1^3*T2^4 + 30129*T1^4*T2^4 - 
     6111*T1^5*T2^4 - 41499*T1^6*T2^4 + 44167*T1^7*T2^4 - 16347*T1^8*T2^4 - 
     2799*T1^9*T2^4 + 3418*T1^10*T2^4 - 639*T1^11*T2^4 + 284*T2^5 - 
     99*T1*T2^5 - 7603*T1^2*T2^5 + 22326*T1^3*T2^5 - 6111*T1^4*T2^5 - 
     57890*T1^5*T2^5 + 104333*T1^6*T2^5 - 44015*T1^7*T2^5 - 24560*T1^8*T2^5 + 
     34686*T1^9*T2^5 - 11867*T1^10*T2^5 + 26*T1^11*T2^5 + 639*T1^12*T2^5 - 
     71*T1^13*T2^5 - 136*T2^6 - 693*T1*T2^6 + 6420*T1^2*T2^6 - 
     4881*T1^3*T2^6 - 41499*T1^4*T2^6 + 104333*T1^5*T2^6 - 78369*T1^6*T2^6 - 
     65279*T1^7*T2^6 + 122607*T1^8*T2^6 - 63767*T1^9*T2^6 - 207*T1^10*T2^6 + 
     11847*T1^11*T2^6 - 3460*T1^12*T2^6 + 27*T1^13*T2^6 + 68*T1^14*T2^6 + 
     36*T2^7 + 594*T1*T2^7 - 2200*T1^2*T2^7 - 8299*T1^3*T2^7 + 
     44167*T1^4*T2^7 - 44015*T1^5*T2^7 - 65279*T1^6*T2^7 + 202212*T1^7*T2^7 - 
     149220*T1^8*T2^7 - 3056*T1^9*T2^7 + 64829*T1^10*T2^7 - 
     34554*T1^11*T2^7 + 2871*T1^12*T2^7 + 2186*T1^13*T2^7 - 369*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 263*T1^2*T2^8 + 7755*T1^3*T2^8 - 
     16347*T1^4*T2^8 - 24560*T1^5*T2^8 + 122607*T1^6*T2^8 - 
     149220*T1^7*T2^8 - 7248*T1^8*T2^8 + 154732*T1^9*T2^8 - 
     120551*T1^10*T2^8 + 23500*T1^11*T2^8 + 16353*T1^12*T2^8 - 
     7823*T1^13*T2^8 + 259*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 369*T1^2*T2^9 - 2166*T1^3*T2^9 - 2799*T1^4*T2^9 + 
     34686*T1^5*T2^9 - 63767*T1^6*T2^9 - 3056*T1^7*T2^9 + 154732*T1^8*T2^9 - 
     196700*T1^9*T2^9 + 59167*T1^10*T2^9 + 45077*T1^11*T2^9 - 
     44035*T1^12*T2^9 + 8371*T1^13*T2^9 + 2220*T1^14*T2^9 - 594*T1^15*T2^9 - 
     36*T1^16*T2^9 - 68*T1^2*T2^10 - 27*T1^3*T2^10 + 3418*T1^4*T2^10 - 
     11867*T1^5*T2^10 - 207*T1^6*T2^10 + 64829*T1^7*T2^10 - 
     120551*T1^8*T2^10 + 59167*T1^9*T2^10 + 80425*T1^10*T2^10 - 
     103271*T1^11*T2^10 + 41085*T1^12*T2^10 + 4861*T1^13*T2^10 - 
     6462*T1^14*T2^10 + 693*T1^15*T2^10 + 136*T1^16*T2^10 + 71*T1^3*T2^11 - 
     639*T1^4*T2^11 + 26*T1^5*T2^11 + 11847*T1^6*T2^11 - 34554*T1^7*T2^11 + 
     23500*T1^8*T2^11 + 45077*T1^9*T2^11 - 103271*T1^10*T2^11 + 
     56830*T1^11*T2^11 + 6243*T1^12*T2^11 - 22346*T1^13*T2^11 + 
     7655*T1^14*T2^11 + 99*T1^15*T2^11 - 284*T1^16*T2^11 + 639*T1^5*T2^12 - 
     3460*T1^6*T2^12 + 2871*T1^7*T2^12 + 16353*T1^8*T2^12 - 
     44035*T1^9*T2^12 + 41085*T1^10*T2^12 + 6243*T1^11*T2^12 - 
     30123*T1^12*T2^12 + 19201*T1^13*T2^12 - 2586*T1^14*T2^12 - 
     1359*T1^15*T2^12 + 364*T1^16*T2^12 - 71*T1^5*T2^13 + 27*T1^6*T2^13 + 
     2186*T1^7*T2^13 - 7823*T1^8*T2^13 + 8371*T1^9*T2^13 + 4861*T1^10*T2^13 - 
     22346*T1^11*T2^13 + 19201*T1^12*T2^13 - 5645*T1^13*T2^13 - 
     1996*T1^14*T2^13 + 1638*T1^15*T2^13 - 284*T1^16*T2^13 + 68*T1^6*T2^14 - 
     369*T1^7*T2^14 + 259*T1^8*T2^14 + 2220*T1^9*T2^14 - 6462*T1^10*T2^14 + 
     7655*T1^11*T2^14 - 2586*T1^12*T2^14 - 1996*T1^13*T2^14 + 
     2503*T1^14*T2^14 - 981*T1^15*T2^14 + 136*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 594*T1^9*T2^15 + 693*T1^10*T2^15 + 99*T1^11*T2^15 - 
     1359*T1^12*T2^15 + 1638*T1^13*T2^15 - 981*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     136*T1^10*T2^16 - 284*T1^11*T2^16 + 364*T1^12*T2^16 - 284*T1^13*T2^16 + 
     136*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 440] -> 
  {(2 - 9*T + 20*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-49 + 220*T1 - 488*T1^2 + 682*T1^3 - 755*T1^4 + 682*T1^5 - 
     488*T1^6 + 220*T1^7 - 49*T1^8 + 220*T2 - 804*T1*T2 + 1366*T1^2*T2 - 
     1232*T1^3*T2 + 832*T1^4*T2 - 230*T1^5*T2 - 368*T1^6*T2 + 844*T1^7*T2 - 
     606*T1^8*T2 + 184*T1^9*T2 - 488*T2^2 + 1366*T1*T2^2 - 1475*T1^2*T2^2 + 
     5*T1^3*T2^2 + 795*T1^4*T2^2 - 1479*T1^5*T2^2 + 1675*T1^6*T2^2 - 
     1515*T1^7*T2^2 - 35*T1^8*T2^2 + 646*T1^9*T2^2 - 328*T1^10*T2^2 + 
     682*T2^3 - 1232*T1*T2^3 + 5*T1^2*T2^3 + 2622*T1^3*T2^3 - 
     2099*T1^4*T2^3 + 1795*T1^5*T2^3 - 761*T1^6*T2^3 - 179*T1^7*T2^3 + 
     2442*T1^8*T2^3 - 1375*T1^9*T2^3 - 80*T1^10*T2^3 + 346*T1^11*T2^3 - 
     755*T2^4 + 832*T1*T2^4 + 795*T1^2*T2^4 - 2099*T1^3*T2^4 - 
     1610*T1^4*T2^4 + 2417*T1^5*T2^4 - 3512*T1^6*T2^4 + 3249*T1^7*T2^4 - 
     3994*T1^8*T2^4 + 29*T1^9*T2^4 + 1219*T1^10*T2^4 - 392*T1^11*T2^4 - 
     259*T1^12*T2^4 + 682*T2^5 - 230*T1*T2^5 - 1479*T1^2*T2^5 + 
     1795*T1^3*T2^5 + 2417*T1^4*T2^5 - 917*T1^5*T2^5 + 1029*T1^6*T2^5 + 
     45*T1^7*T2^5 + 883*T1^8*T2^5 + 2607*T1^9*T2^5 - 945*T1^10*T2^5 - 
     666*T1^11*T2^5 + 616*T1^12*T2^5 + 122*T1^13*T2^5 - 488*T2^6 - 
     368*T1*T2^6 + 1675*T1^2*T2^6 - 761*T1^3*T2^6 - 3512*T1^4*T2^6 + 
     1029*T1^5*T2^6 - 1974*T1^6*T2^6 + 1650*T1^7*T2^6 - 3166*T1^8*T2^6 - 
     19*T1^9*T2^6 - 1976*T1^10*T2^6 + 1519*T1^11*T2^6 - 117*T1^12*T2^6 - 
     512*T1^13*T2^6 - 8*T1^14*T2^6 + 220*T2^7 + 844*T1*T2^7 - 
     1515*T1^2*T2^7 - 179*T1^3*T2^7 + 3249*T1^4*T2^7 + 45*T1^5*T2^7 + 
     1650*T1^6*T2^7 - 1888*T1^7*T2^7 + 2826*T1^8*T2^7 + 594*T1^9*T2^7 + 
     901*T1^10*T2^7 + 491*T1^11*T2^7 - 1267*T1^12*T2^7 + 705*T1^13*T2^7 + 
     178*T1^14*T2^7 - 32*T1^15*T2^7 - 49*T2^8 - 606*T1*T2^8 - 35*T1^2*T2^8 + 
     2442*T1^3*T2^8 - 3994*T1^4*T2^8 + 883*T1^5*T2^8 - 3166*T1^6*T2^8 + 
     2826*T1^7*T2^8 - 1656*T1^8*T2^8 - 1866*T1^9*T2^8 + 474*T1^10*T2^8 - 
     1523*T1^11*T2^8 + 1278*T1^12*T2^8 + 2*T1^13*T2^8 - 569*T1^14*T2^8 + 
     78*T1^15*T2^8 + 15*T1^16*T2^8 + 184*T1*T2^9 + 646*T1^2*T2^9 - 
     1375*T1^3*T2^9 + 29*T1^4*T2^9 + 2607*T1^5*T2^9 - 19*T1^6*T2^9 + 
     594*T1^7*T2^9 - 1866*T1^8*T2^9 + 2848*T1^9*T2^9 - 462*T1^10*T2^9 + 
     837*T1^11*T2^9 - 151*T1^12*T2^9 - 1059*T1^13*T2^9 + 845*T1^14*T2^9 - 
     20*T1^15*T2^9 - 68*T1^16*T2^9 - 328*T1^2*T2^10 - 80*T1^3*T2^10 + 
     1219*T1^4*T2^10 - 945*T1^5*T2^10 - 1976*T1^6*T2^10 + 901*T1^7*T2^10 + 
     474*T1^8*T2^10 - 462*T1^9*T2^10 - 718*T1^10*T2^10 - 147*T1^11*T2^10 - 
     440*T1^12*T2^10 + 1335*T1^13*T2^10 - 573*T1^14*T2^10 - 224*T1^15*T2^10 + 
     152*T1^16*T2^10 + 346*T1^3*T2^11 - 392*T1^4*T2^11 - 666*T1^5*T2^11 + 
     1519*T1^6*T2^11 + 491*T1^7*T2^11 - 1523*T1^8*T2^11 + 837*T1^9*T2^11 - 
     147*T1^10*T2^11 + 277*T1^11*T2^11 + 681*T1^12*T2^11 - 1221*T1^13*T2^11 + 
     147*T1^14*T2^11 + 454*T1^15*T2^11 - 214*T1^16*T2^11 - 259*T1^4*T2^12 + 
     616*T1^5*T2^12 - 117*T1^6*T2^12 - 1267*T1^7*T2^12 + 1278*T1^8*T2^12 - 
     151*T1^9*T2^12 - 440*T1^10*T2^12 + 681*T1^11*T2^12 - 1106*T1^12*T2^12 + 
     861*T1^13*T2^12 + 307*T1^14*T2^12 - 608*T1^15*T2^12 + 237*T1^16*T2^12 + 
     122*T1^5*T2^13 - 512*T1^6*T2^13 + 705*T1^7*T2^13 + 2*T1^8*T2^13 - 
     1059*T1^9*T2^13 + 1335*T1^10*T2^13 - 1221*T1^11*T2^13 + 
     861*T1^12*T2^13 - 178*T1^13*T2^13 - 675*T1^14*T2^13 + 640*T1^15*T2^13 - 
     214*T1^16*T2^13 - 8*T1^6*T2^14 + 178*T1^7*T2^14 - 569*T1^8*T2^14 + 
     845*T1^9*T2^14 - 573*T1^10*T2^14 + 147*T1^11*T2^14 + 307*T1^12*T2^14 - 
     675*T1^13*T2^14 + 871*T1^14*T2^14 - 542*T1^15*T2^14 + 152*T1^16*T2^14 - 
     32*T1^7*T2^15 + 78*T1^8*T2^15 - 20*T1^9*T2^15 - 224*T1^10*T2^15 + 
     454*T1^11*T2^15 - 608*T1^12*T2^15 + 640*T1^13*T2^15 - 542*T1^14*T2^15 + 
     276*T1^15*T2^15 - 68*T1^16*T2^15 + 15*T1^8*T2^16 - 68*T1^9*T2^16 + 
     152*T1^10*T2^16 - 214*T1^11*T2^16 + 237*T1^12*T2^16 - 214*T1^13*T2^16 + 
     152*T1^14*T2^16 - 68*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 441] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (-272 + 1352*T1 - 3100*T1^2 + 3968*T1^3 - 3100*T1^4 + 1352*T1^5 - 
     272*T1^6 + 1352*T2 - 5692*T1*T2 + 10298*T1^2*T2 - 8002*T1^3*T2 + 
     398*T1^4*T2 + 5018*T1^5*T2 - 3772*T1^6*T2 + 1032*T1^7*T2 - 3100*T2^2 + 
     10298*T1*T2^2 - 11538*T1^2*T2^2 - 5047*T1^3*T2^2 + 20940*T1^4*T2^2 - 
     19399*T1^5*T2^2 + 3918*T1^6*T2^2 + 2938*T1^7*T2^2 - 1628*T1^8*T2^2 + 
     3968*T2^3 - 8002*T1*T2^3 - 5047*T1^2*T2^3 + 37122*T1^3*T2^3 - 
     40182*T1^4*T2^3 + 9690*T1^5*T2^3 + 21006*T1^6*T2^3 - 15535*T1^7*T2^3 + 
     2478*T1^8*T2^3 + 1136*T1^9*T2^3 - 3100*T2^4 + 398*T1*T2^4 + 
     20940*T1^2*T2^4 - 40182*T1^3*T2^4 + 1549*T1^4*T2^4 + 50593*T1^5*T2^4 - 
     59579*T1^6*T2^4 + 15514*T1^7*T2^4 + 7596*T1^8*T2^4 - 4882*T1^9*T2^4 - 
     156*T1^10*T2^4 + 1352*T2^5 + 5018*T1*T2^5 - 19399*T1^2*T2^5 + 
     9690*T1^3*T2^5 + 50593*T1^4*T2^5 - 76452*T1^5*T2^5 + 35958*T1^6*T2^5 + 
     26949*T1^7*T2^5 - 28534*T1^8*T2^5 + 6545*T1^9*T2^5 + 1978*T1^10*T2^5 - 
     248*T1^11*T2^5 - 272*T2^6 - 3772*T1*T2^6 + 3918*T1^2*T2^6 + 
     21006*T1^3*T2^6 - 59579*T1^4*T2^6 + 35958*T1^5*T2^6 + 28860*T1^6*T2^6 - 
     63810*T1^7*T2^6 + 28181*T1^8*T2^6 + 4302*T1^9*T2^6 - 6738*T1^10*T2^6 + 
     708*T1^11*T2^6 + 112*T1^12*T2^6 + 1032*T1*T2^7 + 2938*T1^2*T2^7 - 
     15535*T1^3*T2^7 + 15514*T1^4*T2^7 + 26949*T1^5*T2^7 - 63810*T1^6*T2^7 + 
     48600*T1^7*T2^7 + 3305*T1^8*T2^7 - 22710*T1^9*T2^7 + 10409*T1^10*T2^7 - 
     102*T1^11*T2^7 - 568*T1^12*T2^7 - 1628*T1^2*T2^8 + 2478*T1^3*T2^8 + 
     7596*T1^4*T2^8 - 28534*T1^5*T2^8 + 28181*T1^6*T2^8 + 3305*T1^7*T2^8 - 
     32947*T1^8*T2^8 + 27162*T1^9*T2^8 - 5748*T1^10*T2^8 - 2802*T1^11*T2^8 + 
     1316*T1^12*T2^8 + 1136*T1^3*T2^9 - 4882*T1^4*T2^9 + 6545*T1^5*T2^9 + 
     4302*T1^6*T2^9 - 22710*T1^7*T2^9 + 27162*T1^8*T2^9 - 11814*T1^9*T2^9 - 
     3943*T1^10*T2^9 + 5598*T1^11*T2^9 - 1696*T1^12*T2^9 - 156*T1^4*T2^10 + 
     1978*T1^5*T2^10 - 6738*T1^6*T2^10 + 10409*T1^7*T2^10 - 5748*T1^8*T2^10 - 
     3943*T1^9*T2^10 + 8718*T1^10*T2^10 - 5382*T1^11*T2^10 + 
     1316*T1^12*T2^10 - 248*T1^5*T2^11 + 708*T1^6*T2^11 - 102*T1^7*T2^11 - 
     2802*T1^8*T2^11 + 5598*T1^9*T2^11 - 5382*T1^10*T2^11 + 
     2628*T1^11*T2^11 - 568*T1^12*T2^11 + 112*T1^6*T2^12 - 568*T1^7*T2^12 + 
     1316*T1^8*T2^12 - 1696*T1^9*T2^12 + 1316*T1^10*T2^12 - 568*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 442] -> 
  {(5 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 5*T^6)/T^3, 
   -((790 - 2192*T1 + 3276*T1^2 - 3582*T1^3 + 3276*T1^4 - 2192*T1^5 + 
      790*T1^6 - 2192*T2 + 4258*T1*T2 - 4010*T1^2*T2 + 2328*T1^3*T2 - 
      752*T1^4*T2 - 1560*T1^5*T2 + 2928*T1^6*T2 - 1842*T1^7*T2 + 3276*T2^2 - 
      4010*T1*T2^2 + 1486*T1^2*T2^2 + 602*T1^3*T2^2 - 952*T1^4*T2^2 + 
      2492*T1^5*T2^2 - 1874*T1^6*T2^2 - 1070*T1^7*T2^2 + 2226*T1^8*T2^2 - 
      3582*T2^3 + 2328*T1*T2^3 + 602*T1^2*T2^3 - 905*T1^3*T2^3 - 
      261*T1^4*T2^3 - 1122*T1^5*T2^3 - 275*T1^6*T2^3 + 2261*T1^7*T2^3 - 
      1032*T1^8*T2^3 - 1857*T1^9*T2^3 + 3276*T2^4 - 752*T1*T2^4 - 
      952*T1^2*T2^4 - 261*T1^3*T2^4 + 1297*T1^4*T2^4 + 823*T1^5*T2^4 + 
      373*T1^6*T2^4 - 905*T1^7*T2^4 - 756*T1^8*T2^4 + 1908*T1^9*T2^4 + 
      1176*T1^10*T2^4 - 2192*T2^5 - 1560*T1*T2^5 + 2492*T1^2*T2^5 - 
      1122*T1^3*T2^5 + 823*T1^4*T2^5 - 2577*T1^5*T2^5 + 391*T1^6*T2^5 + 
      382*T1^7*T2^5 + 173*T1^8*T2^5 - 91*T1^9*T2^5 - 2050*T1^10*T2^5 - 
      442*T1^11*T2^5 + 790*T2^6 + 2928*T1*T2^6 - 1874*T1^2*T2^6 - 
      275*T1^3*T2^6 + 373*T1^4*T2^6 + 391*T1^5*T2^6 + 2184*T1^6*T2^6 - 
      2115*T1^7*T2^6 + 1143*T1^8*T2^6 - 941*T1^9*T2^6 + 1542*T1^10*T2^6 + 
      1108*T1^11*T2^6 + 40*T1^12*T2^6 - 1842*T1*T2^7 - 1070*T1^2*T2^7 + 
      2261*T1^3*T2^7 - 905*T1^4*T2^7 + 382*T1^5*T2^7 - 2115*T1^6*T2^7 + 
      853*T1^7*T2^7 - 59*T1^8*T2^7 + 390*T1^9*T2^7 - 322*T1^10*T2^7 - 
      1560*T1^11*T2^7 - 92*T1^12*T2^7 + 2226*T1^2*T2^8 - 1032*T1^3*T2^8 - 
      756*T1^4*T2^8 + 173*T1^5*T2^8 + 1143*T1^6*T2^8 - 59*T1^7*T2^8 + 
      219*T1^8*T2^8 - 471*T1^9*T2^8 - 560*T1^10*T2^8 + 1628*T1^11*T2^8 + 
      126*T1^12*T2^8 - 1857*T1^3*T2^9 + 1908*T1^4*T2^9 - 91*T1^5*T2^9 - 
      941*T1^6*T2^9 + 390*T1^7*T2^9 - 471*T1^8*T2^9 - 311*T1^9*T2^9 + 
      1568*T1^10*T2^9 - 1452*T1^11*T2^9 - 132*T1^12*T2^9 + 1176*T1^4*T2^10 - 
      2050*T1^5*T2^10 + 1542*T1^6*T2^10 - 322*T1^7*T2^10 - 560*T1^8*T2^10 + 
      1568*T1^9*T2^10 - 1818*T1^10*T2^10 + 890*T1^11*T2^10 + 
      126*T1^12*T2^10 - 442*T1^5*T2^11 + 1108*T1^6*T2^11 - 1560*T1^7*T2^11 + 
      1628*T1^8*T2^11 - 1452*T1^9*T2^11 + 890*T1^10*T2^11 - 222*T1^11*T2^11 - 
      92*T1^12*T2^11 + 40*T1^6*T2^12 - 92*T1^7*T2^12 + 126*T1^8*T2^12 - 
      132*T1^9*T2^12 + 126*T1^10*T2^12 - 92*T1^11*T2^12 + 40*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 443] -> 
  {(10 - 31*T + 43*T^2 - 31*T^3 + 10*T^4)/T^2, 
   -((4445 - 13622*T1 + 18843*T1^2 - 13622*T1^3 + 4445*T1^4 - 13622*T2 + 
      31324*T1*T2 - 25692*T1^2*T2 - 2752*T1^3*T2 + 18614*T1^4*T2 - 
      10522*T1^5*T2 + 18843*T2^2 - 25692*T1*T2^2 - 8932*T1^2*T2^2 + 
      48562*T1^3*T2^2 - 37312*T1^4*T2^2 + 968*T1^5*T2^2 + 10243*T1^6*T2^2 - 
      13622*T2^3 - 2752*T1*T2^3 + 48562*T1^2*T2^3 - 57099*T1^3*T2^3 + 
      3413*T1^4*T2^3 + 33899*T1^5*T2^3 - 18252*T1^6*T2^3 - 4322*T1^7*T2^3 + 
      4445*T2^4 + 18614*T1*T2^4 - 37312*T1^2*T2^4 + 3413*T1^3*T2^4 + 
      51348*T1^4*T2^4 - 47613*T1^5*T2^4 + 5070*T1^6*T2^4 + 11794*T1^7*T2^4 + 
      445*T1^8*T2^4 - 10522*T1*T2^5 + 968*T1^2*T2^5 + 33899*T1^3*T2^5 - 
      47613*T1^4*T2^5 + 12899*T1^5*T2^5 + 19236*T1^6*T2^5 - 14532*T1^7*T2^5 - 
      1222*T1^8*T2^5 + 10243*T1^2*T2^6 - 18252*T1^3*T2^6 + 5070*T1^4*T2^6 + 
      19236*T1^5*T2^6 - 23310*T1^6*T2^6 + 8408*T1^7*T2^6 + 1643*T1^8*T2^6 - 
      4322*T1^3*T2^7 + 11794*T1^4*T2^7 - 14532*T1^5*T2^7 + 8408*T1^6*T2^7 - 
      916*T1^7*T2^7 - 1222*T1^8*T2^7 + 445*T1^4*T2^8 - 1222*T1^5*T2^8 + 
      1643*T1^6*T2^8 - 1222*T1^7*T2^8 + 445*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 444] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((-41 + 267*T1 - 616*T1^2 + 801*T1^3 - 616*T1^4 + 267*T1^5 - 41*T1^6 + 
      267*T2 - 1524*T1*T2 + 2611*T1^2*T2 - 1985*T1^3*T2 - 191*T1^4*T2 + 
      1493*T1^5*T2 - 1134*T1^6*T2 + 215*T1^7*T2 - 616*T2^2 + 2611*T1*T2^2 - 
      596*T1^2*T2^2 - 6320*T1^3*T2^2 + 12134*T1^4*T2^2 - 9440*T1^5*T2^2 + 
      2764*T1^6*T2^2 + 1051*T1^7*T2^2 - 376*T1^8*T2^2 + 801*T2^3 - 
      1985*T1*T2^3 - 6320*T1^2*T2^3 + 16912*T1^3*T2^3 - 16235*T1^4*T2^3 + 
      613*T1^5*T2^3 + 9736*T1^6*T2^3 - 7490*T1^7*T2^3 + 277*T1^8*T2^3 + 
      333*T1^9*T2^3 - 616*T2^4 - 191*T1*T2^4 + 12134*T1^2*T2^4 - 
      16235*T1^3*T2^4 + 1686*T1^4*T2^4 + 19730*T1^5*T2^4 - 17958*T1^6*T2^4 + 
      2797*T1^7*T2^4 + 6152*T1^8*T2^4 - 1283*T1^9*T2^4 - 136*T1^10*T2^4 + 
      267*T2^5 + 1493*T1*T2^5 - 9440*T1^2*T2^5 + 613*T1^3*T2^5 + 
      19730*T1^4*T2^5 - 27360*T1^5*T2^5 + 5010*T1^6*T2^5 + 13490*T1^7*T2^5 - 
      11867*T1^8*T2^5 - 470*T1^9*T2^5 + 843*T1^10*T2^5 + 7*T1^11*T2^5 - 
      41*T2^6 - 1134*T1*T2^6 + 2764*T1^2*T2^6 + 9736*T1^3*T2^6 - 
      17958*T1^4*T2^6 + 5010*T1^5*T2^6 + 21072*T1^6*T2^6 - 23174*T1^7*T2^6 + 
      6798*T1^8*T2^6 + 5680*T1^9*T2^6 - 1704*T1^10*T2^6 - 94*T1^11*T2^6 + 
      7*T1^12*T2^6 + 215*T1*T2^7 + 1051*T1^2*T2^7 - 7490*T1^3*T2^7 + 
      2797*T1^4*T2^7 + 13490*T1^5*T2^7 - 23174*T1^6*T2^7 + 9196*T1^7*T2^7 + 
      7250*T1^8*T2^7 - 9683*T1^9*T2^7 + 1480*T1^10*T2^7 + 401*T1^11*T2^7 - 
      45*T1^12*T2^7 - 376*T1^2*T2^8 + 277*T1^3*T2^8 + 6152*T1^4*T2^8 - 
      11867*T1^5*T2^8 + 6798*T1^6*T2^8 + 7250*T1^7*T2^8 - 12846*T1^8*T2^8 + 
      7165*T1^9*T2^8 + 170*T1^10*T2^8 - 815*T1^11*T2^8 + 104*T1^12*T2^8 + 
      333*T1^3*T2^9 - 1283*T1^4*T2^9 - 470*T1^5*T2^9 + 5680*T1^6*T2^9 - 
      9683*T1^7*T2^9 + 7165*T1^8*T2^9 - 1496*T1^9*T2^9 - 1640*T1^10*T2^9 + 
      979*T1^11*T2^9 - 135*T1^12*T2^9 - 136*T1^4*T2^10 + 843*T1^5*T2^10 - 
      1704*T1^6*T2^10 + 1480*T1^7*T2^10 + 170*T1^8*T2^10 - 1640*T1^9*T2^10 + 
      1656*T1^10*T2^10 - 717*T1^11*T2^10 + 104*T1^12*T2^10 + 7*T1^5*T2^11 - 
      94*T1^6*T2^11 + 401*T1^7*T2^11 - 815*T1^8*T2^11 + 979*T1^9*T2^11 - 
      717*T1^10*T2^11 + 296*T1^11*T2^11 - 45*T1^12*T2^11 + 7*T1^6*T2^12 - 
      45*T1^7*T2^12 + 104*T1^8*T2^12 - 135*T1^9*T2^12 + 104*T1^10*T2^12 - 
      45*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 445] -> 
  {-(((1 - T + T^2)^2*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 108*T1^3 - 129*T1^4 + 108*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 476*T1^3*T2 + 
      399*T1^4*T2 - 154*T1^5*T2 - 84*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 529*T1^2*T2^2 + 325*T1^3*T2^2 + 
      574*T1^4*T2^2 - 1363*T1^5*T2^2 + 1494*T1^6*T2^2 - 835*T1^7*T2^2 + 
      231*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 108*T2^3 - 476*T1*T2^3 + 
      325*T1^2*T2^3 + 748*T1^3*T2^3 - 2641*T1^4*T2^3 + 3101*T1^5*T2^3 - 
      1911*T1^6*T2^3 - 201*T1^7*T2^3 + 964*T1^8*T2^3 - 715*T1^9*T2^3 + 
      140*T1^10*T2^3 - 129*T2^4 + 399*T1*T2^4 + 574*T1^2*T2^4 - 
      2641*T1^3*T2^4 + 4731*T1^4*T2^4 - 3209*T1^5*T2^4 - 291*T1^6*T2^4 + 
      3395*T1^7*T2^4 - 2661*T1^8*T2^4 + 743*T1^9*T2^4 + 486*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 108*T2^5 - 154*T1*T2^5 - 
      1363*T1^2*T2^5 + 3101*T1^3*T2^5 - 3209*T1^4*T2^5 - 1353*T1^5*T2^5 + 
      5485*T1^6*T2^5 - 5687*T1^7*T2^5 + 477*T1^8*T2^5 + 3022*T1^9*T2^5 - 
      2719*T1^10*T2^5 + 638*T1^11*T2^5 + 203*T1^12*T2^5 - 72*T1^13*T2^5 - 
      60*T2^6 - 84*T1*T2^6 + 1494*T1^2*T2^6 - 1911*T1^3*T2^6 - 
      291*T1^4*T2^6 + 5485*T1^5*T2^6 - 6406*T1^6*T2^6 + 1104*T1^7*T2^6 + 
      6202*T1^8*T2^6 - 6379*T1^9*T2^6 + 1261*T1^10*T2^6 + 1889*T1^11*T2^6 - 
      1442*T1^12*T2^6 + 84*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 835*T1^2*T2^7 - 201*T1^3*T2^7 + 3395*T1^4*T2^7 - 
      5687*T1^5*T2^7 + 1104*T1^6*T2^7 + 8231*T1^7*T2^7 - 11609*T1^8*T2^7 + 
      4712*T1^9*T2^7 + 4101*T1^10*T2^7 - 4328*T1^11*T2^7 + 1135*T1^12*T2^7 + 
      925*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      231*T1^2*T2^8 + 964*T1^3*T2^8 - 2661*T1^4*T2^8 + 477*T1^5*T2^8 + 
      6202*T1^6*T2^8 - 11609*T1^7*T2^8 + 4524*T1^8*T2^8 + 7137*T1^9*T2^8 - 
      12190*T1^10*T2^8 + 4479*T1^11*T2^8 + 955*T1^12*T2^8 - 2052*T1^13*T2^8 - 
      67*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 
      42*T1^2*T2^9 - 715*T1^3*T2^9 + 743*T1^4*T2^9 + 3022*T1^5*T2^9 - 
      6379*T1^6*T2^9 + 4712*T1^7*T2^9 + 7137*T1^8*T2^9 - 12703*T1^9*T2^9 + 
      8320*T1^10*T2^9 + 3409*T1^11*T2^9 - 4701*T1^12*T2^9 + 2079*T1^13*T2^9 + 
      1045*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 20*T1^2*T2^10 + 
      140*T1^3*T2^10 + 486*T1^4*T2^10 - 2719*T1^5*T2^10 + 1261*T1^6*T2^10 + 
      4101*T1^7*T2^10 - 12190*T1^8*T2^10 + 8320*T1^9*T2^10 + 
      418*T1^10*T2^10 - 7763*T1^11*T2^10 + 2813*T1^12*T2^10 + 
      1081*T1^13*T2^10 - 2450*T1^14*T2^10 + 308*T1^15*T2^10 + 
      100*T1^16*T2^10 - 301*T1^4*T2^11 + 638*T1^5*T2^11 + 1889*T1^6*T2^11 - 
      4328*T1^7*T2^11 + 4479*T1^8*T2^11 + 3409*T1^9*T2^11 - 
      7763*T1^10*T2^11 + 6309*T1^11*T2^11 + 1903*T1^12*T2^11 - 
      3931*T1^13*T2^11 + 2639*T1^14*T2^11 + 56*T1^15*T2^11 - 
      180*T1^16*T2^11 + 43*T1^4*T2^12 + 203*T1^5*T2^12 - 1442*T1^6*T2^12 + 
      1135*T1^7*T2^12 + 955*T1^8*T2^12 - 4701*T1^9*T2^12 + 2813*T1^10*T2^12 + 
      1903*T1^11*T2^12 - 6437*T1^12*T2^12 + 4519*T1^13*T2^12 - 
      1530*T1^14*T2^12 - 497*T1^15*T2^12 + 215*T1^16*T2^12 - 72*T1^5*T2^13 + 
      84*T1^6*T2^13 + 925*T1^7*T2^13 - 2052*T1^8*T2^13 + 2079*T1^9*T2^13 + 
      1081*T1^10*T2^13 - 3931*T1^11*T2^13 + 4519*T1^12*T2^13 - 
      1836*T1^13*T2^13 - 115*T1^14*T2^13 + 700*T1^15*T2^13 - 
      180*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 67*T1^8*T2^14 + 
      1045*T1^9*T2^14 - 2450*T1^10*T2^14 + 2639*T1^11*T2^14 - 
      1530*T1^12*T2^14 - 115*T1^13*T2^14 + 693*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 308*T1^10*T2^15 + 56*T1^11*T2^15 - 497*T1^12*T2^15 + 
      700*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 180*T1^11*T2^16 + 
      215*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 446] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6))/T^4), 
   -((-5 + 40*T1 - 130*T1^2 + 250*T1^3 - 305*T1^4 + 250*T1^5 - 130*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 784*T1^2*T2 - 1168*T1^3*T2 + 
      840*T1^4*T2 - 48*T1^5*T2 - 560*T1^6*T2 + 512*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 130*T2^2 + 784*T1*T2^2 - 1414*T1^2*T2^2 + 484*T1^3*T2^2 + 
      2806*T1^4*T2^2 - 5172*T1^5*T2^2 + 4626*T1^6*T2^2 - 1700*T1^7*T2^2 - 
      114*T1^8*T2^2 + 368*T1^9*T2^2 - 78*T1^10*T2^2 + 250*T2^3 - 
      1168*T1*T2^3 + 484*T1^2*T2^3 + 4204*T1^3*T2^3 - 10868*T1^4*T2^3 + 
      9638*T1^5*T2^3 - 2050*T1^6*T2^3 - 5410*T1^7*T2^3 + 4782*T1^8*T2^3 - 
      1544*T1^9*T2^3 - 176*T1^10*T2^3 + 100*T1^11*T2^3 - 305*T2^4 + 
      840*T1*T2^4 + 2806*T1^2*T2^4 - 10868*T1^3*T2^4 + 14822*T1^4*T2^4 - 
      1020*T1^5*T2^4 - 13646*T1^6*T2^4 + 16732*T1^7*T2^4 - 4138*T1^8*T2^4 - 
      3068*T1^9*T2^4 + 2750*T1^10*T2^4 - 312*T1^11*T2^4 - 61*T1^12*T2^4 + 
      250*T2^5 - 48*T1*T2^5 - 5172*T1^2*T2^5 + 9638*T1^3*T2^5 - 
      1020*T1^4*T2^5 - 24946*T1^5*T2^5 + 29861*T1^6*T2^5 - 11675*T1^7*T2^5 - 
      14412*T1^8*T2^5 + 14194*T1^9*T2^5 - 4226*T1^10*T2^5 - 1260*T1^11*T2^5 + 
      488*T1^12*T2^5 - 130*T2^6 - 560*T1*T2^6 + 4626*T1^2*T2^6 - 
      2050*T1^3*T2^6 - 13646*T1^4*T2^6 + 29861*T1^5*T2^6 - 5555*T1^6*T2^6 - 
      28831*T1^7*T2^6 + 42165*T1^8*T2^6 - 15163*T1^9*T2^6 - 4830*T1^10*T2^6 + 
      6374*T1^11*T2^6 - 946*T1^12*T2^6 - 208*T1^13*T2^6 + 26*T1^14*T2^6 + 
      40*T2^7 + 512*T1*T2^7 - 1700*T1^2*T2^7 - 5410*T1^3*T2^7 + 
      16732*T1^4*T2^7 - 11675*T1^5*T2^7 - 28831*T1^6*T2^7 + 48652*T1^7*T2^7 - 
      28354*T1^8*T2^7 - 14547*T1^9*T2^7 + 22885*T1^10*T2^7 - 
      8634*T1^11*T2^7 - 1500*T1^12*T2^7 + 1264*T1^13*T2^7 - 80*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 114*T1^2*T2^8 + 4782*T1^3*T2^8 - 
      4138*T1^4*T2^8 - 14412*T1^5*T2^8 + 42165*T1^6*T2^8 - 28354*T1^7*T2^8 - 
      14496*T1^8*T2^8 + 42614*T1^9*T2^8 - 24587*T1^10*T2^8 - 
      1588*T1^11*T2^8 + 7454*T1^12*T2^8 - 2266*T1^13*T2^8 - 274*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 368*T1^2*T2^9 - 
      1544*T1^3*T2^9 - 3068*T1^4*T2^9 + 14194*T1^5*T2^9 - 15163*T1^6*T2^9 - 
      14547*T1^7*T2^9 + 42614*T1^8*T2^9 - 34392*T1^9*T2^9 - 263*T1^10*T2^9 + 
      19397*T1^11*T2^9 - 11172*T1^12*T2^9 + 842*T1^13*T2^9 + 
      1420*T1^14*T2^9 - 224*T1^15*T2^9 - 24*T1^16*T2^9 - 78*T1^2*T2^10 - 
      176*T1^3*T2^10 + 2750*T1^4*T2^10 - 4226*T1^5*T2^10 - 4830*T1^6*T2^10 + 
      22885*T1^7*T2^10 - 24587*T1^8*T2^10 - 263*T1^9*T2^10 + 
      23133*T1^10*T2^10 - 22139*T1^11*T2^10 + 3986*T1^12*T2^10 + 
      4198*T1^13*T2^10 - 2822*T1^14*T2^10 + 176*T1^15*T2^10 + 
      78*T1^16*T2^10 + 100*T1^3*T2^11 - 312*T1^4*T2^11 - 1260*T1^5*T2^11 + 
      6374*T1^6*T2^11 - 8634*T1^7*T2^11 - 1588*T1^8*T2^11 + 
      19397*T1^9*T2^11 - 22139*T1^10*T2^11 + 8946*T1^11*T2^11 + 
      6580*T1^12*T2^11 - 7490*T1^13*T2^11 + 2652*T1^14*T2^11 + 
      224*T1^15*T2^11 - 150*T1^16*T2^11 - 61*T1^4*T2^12 + 488*T1^5*T2^12 - 
      946*T1^6*T2^12 - 1500*T1^7*T2^12 + 7454*T1^8*T2^12 - 11172*T1^9*T2^12 + 
      3986*T1^10*T2^12 + 6580*T1^11*T2^12 - 11506*T1^12*T2^12 + 
      6300*T1^13*T2^12 - 1002*T1^14*T2^12 - 664*T1^15*T2^12 + 
      183*T1^16*T2^12 - 208*T1^6*T2^13 + 1264*T1^7*T2^13 - 2266*T1^8*T2^13 + 
      842*T1^9*T2^13 + 4198*T1^10*T2^13 - 7490*T1^11*T2^13 + 
      6300*T1^12*T2^13 - 1688*T1^13*T2^13 - 764*T1^14*T2^13 + 
      784*T1^15*T2^13 - 150*T1^16*T2^13 + 26*T1^6*T2^14 - 80*T1^7*T2^14 - 
      274*T1^8*T2^14 + 1420*T1^9*T2^14 - 2822*T1^10*T2^14 + 
      2652*T1^11*T2^14 - 1002*T1^12*T2^14 - 764*T1^13*T2^14 + 
      1026*T1^14*T2^14 - 496*T1^15*T2^14 + 78*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 224*T1^9*T2^15 + 176*T1^10*T2^15 + 224*T1^11*T2^15 - 
      664*T1^12*T2^15 + 784*T1^13*T2^15 - 496*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 78*T1^10*T2^16 - 
      150*T1^11*T2^16 + 183*T1^12*T2^16 - 150*T1^13*T2^16 + 78*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 447] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   -((-23 + 137*T1 - 319*T1^2 + 421*T1^3 - 319*T1^4 + 137*T1^5 - 23*T1^6 + 
      137*T2 - 726*T1*T2 + 1370*T1^2*T2 - 1278*T1^3*T2 + 282*T1^4*T2 + 
      410*T1^5*T2 - 390*T1^6*T2 + 89*T1^7*T2 - 319*T2^2 + 1370*T1*T2^2 - 
      1378*T1^2*T2^2 - 914*T1^3*T2^2 + 3924*T1^4*T2^2 - 3714*T1^5*T2^2 + 
      1534*T1^6*T2^2 + 26*T1^7*T2^2 - 95*T1^8*T2^2 + 421*T2^3 - 
      1278*T1*T2^3 - 914*T1^2*T2^3 + 6030*T1^3*T2^3 - 8852*T1^4*T2^3 + 
      4108*T1^5*T2^3 + 1248*T1^6*T2^3 - 2426*T1^7*T2^3 + 714*T1^8*T2^3 - 
      23*T1^9*T2^3 - 319*T2^4 + 282*T1*T2^4 + 3924*T1^2*T2^4 - 
      8852*T1^3*T2^4 + 6502*T1^4*T2^4 + 4552*T1^5*T2^4 - 9874*T1^6*T2^4 + 
      5948*T1^7*T2^4 - 460*T1^8*T2^4 - 630*T1^9*T2^4 + 129*T1^10*T2^4 + 
      137*T2^5 + 410*T1*T2^5 - 3714*T1^2*T2^5 + 4108*T1^3*T2^5 + 
      4552*T1^4*T2^5 - 15612*T1^5*T2^5 + 13088*T1^6*T2^5 - 936*T1^7*T2^5 - 
      5172*T1^8*T2^5 + 2950*T1^9*T2^5 - 166*T1^10*T2^5 - 103*T1^11*T2^5 - 
      23*T2^6 - 390*T1*T2^6 + 1534*T1^2*T2^6 + 1248*T1^3*T2^6 - 
      9874*T1^4*T2^6 + 13088*T1^5*T2^6 - 2112*T1^6*T2^6 - 11424*T1^7*T2^6 + 
      10254*T1^8*T2^6 - 2328*T1^9*T2^6 - 1570*T1^10*T2^6 + 474*T1^11*T2^6 + 
      25*T1^12*T2^6 + 89*T1*T2^7 + 26*T1^2*T2^7 - 2426*T1^3*T2^7 + 
      5948*T1^4*T2^7 - 936*T1^5*T2^7 - 11424*T1^6*T2^7 + 17276*T1^7*T2^7 - 
      6424*T1^8*T2^7 - 3332*T1^9*T2^7 + 4238*T1^10*T2^7 - 550*T1^11*T2^7 - 
      151*T1^12*T2^7 - 95*T1^2*T2^8 + 714*T1^3*T2^8 - 460*T1^4*T2^8 - 
      5172*T1^5*T2^8 + 10254*T1^6*T2^8 - 6424*T1^7*T2^8 - 6122*T1^8*T2^8 + 
      9628*T1^9*T2^8 - 4844*T1^10*T2^8 - 198*T1^11*T2^8 + 353*T1^12*T2^8 - 
      23*T1^3*T2^9 - 630*T1^4*T2^9 + 2950*T1^5*T2^9 - 2328*T1^6*T2^9 - 
      3332*T1^7*T2^9 + 9628*T1^8*T2^9 - 7110*T1^9*T2^9 + 1438*T1^10*T2^9 + 
      1362*T1^11*T2^9 - 467*T1^12*T2^9 + 129*T1^4*T2^10 - 166*T1^5*T2^10 - 
      1570*T1^6*T2^10 + 4238*T1^7*T2^10 - 4844*T1^8*T2^10 + 1438*T1^9*T2^10 + 
      1342*T1^10*T2^10 - 1510*T1^11*T2^10 + 353*T1^12*T2^10 - 
      103*T1^5*T2^11 + 474*T1^6*T2^11 - 550*T1^7*T2^11 - 198*T1^8*T2^11 + 
      1362*T1^9*T2^11 - 1510*T1^10*T2^11 + 810*T1^11*T2^11 - 
      151*T1^12*T2^11 + 25*T1^6*T2^12 - 151*T1^7*T2^12 + 353*T1^8*T2^12 - 
      467*T1^9*T2^12 + 353*T1^10*T2^12 - 151*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 448] -> 
  {((1 - 3*T + T^2)*(5 - 11*T + 5*T^2))/T^2, 
   (2*(-145 + 764*T1 - 1271*T1^2 + 764*T1^3 - 145*T1^4 + 764*T2 - 
      3589*T1*T2 + 4364*T1^2*T2 - 121*T1^3*T2 - 1574*T1^4*T2 + 439*T1^5*T2 - 
      1271*T2^2 + 4364*T1*T2^2 + 1119*T1^2*T2^2 - 13020*T1^3*T2^2 + 
      9289*T1^4*T2^2 - 1226*T1^5*T2^2 - 196*T1^6*T2^2 + 764*T2^3 - 
      121*T1*T2^3 - 13020*T1^2*T2^3 + 24276*T1^3*T2^3 - 8250*T1^4*T2^3 - 
      4076*T1^5*T2^3 + 2154*T1^6*T2^3 - 211*T1^7*T2^3 - 145*T2^4 - 
      1574*T1*T2^4 + 9289*T1^2*T2^4 - 8250*T1^3*T2^4 - 11100*T1^4*T2^4 + 
      16138*T1^5*T2^4 - 6137*T1^6*T2^4 + 506*T1^7*T2^4 + 105*T1^8*T2^4 + 
      439*T1*T2^5 - 1226*T1^2*T2^5 - 4076*T1^3*T2^5 + 16138*T1^4*T2^5 - 
      16388*T1^5*T2^5 + 4868*T1^6*T2^5 + 1049*T1^7*T2^5 - 536*T1^8*T2^5 - 
      196*T1^2*T2^6 + 2154*T1^3*T2^6 - 6137*T1^4*T2^6 + 4868*T1^5*T2^6 + 
      2033*T1^6*T2^6 - 3436*T1^7*T2^6 + 879*T1^8*T2^6 - 211*T1^3*T2^7 + 
      506*T1^4*T2^7 + 1049*T1^5*T2^7 - 3436*T1^6*T2^7 + 2521*T1^7*T2^7 - 
      536*T1^8*T2^7 + 105*T1^4*T2^8 - 536*T1^5*T2^8 + 879*T1^6*T2^8 - 
      536*T1^7*T2^8 + 105*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 449] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-17 + 136*T1 - 384*T1^2 + 521*T1^3 - 384*T1^4 + 136*T1^5 - 17*T1^6 + 
     136*T2 - 1016*T1*T2 + 2496*T1^2*T2 - 2536*T1^3*T2 + 856*T1^4*T2 + 
     544*T1^5*T2 - 440*T1^6*T2 + 72*T1^7*T2 - 384*T2^2 + 2496*T1*T2^2 - 
     4024*T1^2*T2^2 - 1358*T1^3*T2^2 + 8862*T1^4*T2^2 - 9458*T1^5*T2^2 + 
     3716*T1^6*T2^2 - 384*T1^7*T2^2 - 24*T1^8*T2^2 + 521*T2^3 - 
     2536*T1*T2^3 - 1358*T1^2*T2^3 + 20038*T1^3*T2^3 - 32622*T1^4*T2^3 + 
     21372*T1^5*T2^3 - 824*T1^6*T2^3 - 4868*T1^7*T2^3 + 1880*T1^8*T2^3 - 
     211*T1^9*T2^3 - 384*T2^4 + 856*T1*T2^4 + 8862*T1^2*T2^4 - 
     32622*T1^3*T2^4 + 31286*T1^4*T2^4 + 8982*T1^5*T2^4 - 41074*T1^6*T2^4 + 
     29354*T1^7*T2^4 - 6170*T1^8*T2^4 - 1000*T1^9*T2^4 + 336*T1^10*T2^4 + 
     136*T2^5 + 544*T1*T2^5 - 9458*T1^2*T2^5 + 21372*T1^3*T2^5 + 
     8982*T1^4*T2^5 - 74497*T1^5*T2^5 + 87593*T1^6*T2^5 - 29583*T1^7*T2^5 - 
     16658*T1^8*T2^5 + 12412*T1^9*T2^5 - 1216*T1^10*T2^5 - 184*T1^11*T2^5 - 
     17*T2^6 - 440*T1*T2^6 + 3716*T1^2*T2^6 - 824*T1^3*T2^6 - 
     41074*T1^4*T2^6 + 87593*T1^5*T2^6 - 41724*T1^6*T2^6 - 51009*T1^7*T2^6 + 
     71692*T1^8*T2^6 - 21008*T1^9*T2^6 - 3488*T1^10*T2^6 + 1224*T1^11*T2^6 + 
     31*T1^12*T2^6 + 72*T1*T2^7 - 384*T1^2*T2^7 - 4868*T1^3*T2^7 + 
     29354*T1^4*T2^7 - 29583*T1^5*T2^7 - 51009*T1^6*T2^7 + 111081*T1^7*T2^7 - 
     68148*T1^8*T2^7 - 8676*T1^9*T2^7 + 17002*T1^10*T2^7 - 2144*T1^11*T2^7 - 
     248*T1^12*T2^7 - 24*T1^2*T2^8 + 1880*T1^3*T2^8 - 6170*T1^4*T2^8 - 
     16658*T1^5*T2^8 + 71692*T1^6*T2^8 - 68148*T1^7*T2^8 - 668*T1^8*T2^8 + 
     45318*T1^9*T2^8 - 21202*T1^10*T2^8 + 24*T1^11*T2^8 + 696*T1^12*T2^8 - 
     211*T1^3*T2^9 - 1000*T1^4*T2^9 + 12412*T1^5*T2^9 - 21008*T1^6*T2^9 - 
     8676*T1^7*T2^9 + 45318*T1^8*T2^9 - 41870*T1^9*T2^9 + 8902*T1^10*T2^9 + 
     3416*T1^11*T2^9 - 943*T1^12*T2^9 + 336*T1^4*T2^10 - 1216*T1^5*T2^10 - 
     3488*T1^6*T2^10 + 17002*T1^7*T2^10 - 21202*T1^8*T2^10 + 
     8902*T1^9*T2^10 + 4252*T1^10*T2^10 - 4096*T1^11*T2^10 + 
     696*T1^12*T2^10 - 184*T1^5*T2^11 + 1224*T1^6*T2^11 - 2144*T1^7*T2^11 + 
     24*T1^8*T2^11 + 3416*T1^9*T2^11 - 4096*T1^10*T2^11 + 1800*T1^11*T2^11 - 
     248*T1^12*T2^11 + 31*T1^6*T2^12 - 248*T1^7*T2^12 + 696*T1^8*T2^12 - 
     943*T1^9*T2^12 + 696*T1^10*T2^12 - 248*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 450] -> 
  {(2 - 16*T + 50*T^2 - 71*T^3 + 50*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-15 + 120*T1 - 376*T1^2 + 535*T1^3 - 376*T1^4 + 120*T1^5 - 15*T1^6 + 
     120*T2 - 904*T1*T2 + 2560*T1^2*T2 - 2872*T1^3*T2 + 1000*T1^4*T2 + 
     448*T1^5*T2 - 328*T1^6*T2 + 56*T1^7*T2 - 376*T2^2 + 2560*T1*T2^2 - 
     5834*T1^2*T2^2 + 2046*T1^3*T2^2 + 7072*T1^4*T2^2 - 8954*T1^5*T2^2 + 
     3766*T1^6*T2^2 - 640*T1^7*T2^2 + 24*T1^8*T2^2 + 535*T2^3 - 
     2872*T1*T2^3 + 2046*T1^2*T2^3 + 17234*T1^3*T2^3 - 38950*T1^4*T2^3 + 
     29734*T1^5*T2^3 - 4468*T1^6*T2^3 - 4854*T1^7*T2^3 + 2344*T1^8*T2^3 - 
     317*T1^9*T2^3 - 376*T2^4 + 1000*T1*T2^4 + 7072*T1^2*T2^4 - 
     38950*T1^3*T2^4 + 56865*T1^4*T2^4 - 7377*T1^5*T2^4 - 48895*T1^6*T2^4 + 
     41706*T1^7*T2^4 - 9280*T1^8*T2^4 - 856*T1^9*T2^4 + 424*T1^10*T2^4 + 
     120*T2^5 + 448*T1*T2^5 - 8954*T1^2*T2^5 + 29734*T1^3*T2^5 - 
     7377*T1^4*T2^5 - 108770*T1^5*T2^5 + 165260*T1^6*T2^5 - 74477*T1^7*T2^5 - 
     15006*T1^8*T2^5 + 14346*T1^9*T2^5 - 1792*T1^10*T2^5 - 200*T1^11*T2^5 - 
     15*T2^6 - 328*T1*T2^6 + 3766*T1^2*T2^6 - 4468*T1^3*T2^6 - 
     48895*T1^4*T2^6 + 165260*T1^5*T2^6 - 125652*T1^6*T2^6 - 
     60972*T1^7*T2^6 + 119601*T1^8*T2^6 - 34972*T1^9*T2^6 - 1418*T1^10*T2^6 + 
     1336*T1^11*T2^6 + 33*T1^12*T2^6 + 56*T1*T2^7 - 640*T1^2*T2^7 - 
     4854*T1^3*T2^7 + 41706*T1^4*T2^7 - 74477*T1^5*T2^7 - 60972*T1^6*T2^7 + 
     213058*T1^7*T2^7 - 141577*T1^8*T2^7 - 3034*T1^9*T2^7 + 
     18446*T1^10*T2^7 - 2880*T1^11*T2^7 - 264*T1^12*T2^7 + 24*T1^2*T2^8 + 
     2344*T1^3*T2^8 - 9280*T1^4*T2^8 - 15006*T1^5*T2^8 + 119601*T1^6*T2^8 - 
     141577*T1^7*T2^8 + 13841*T1^8*T2^8 + 65650*T1^9*T2^8 - 
     25632*T1^10*T2^8 + 488*T1^11*T2^8 + 824*T1^12*T2^8 - 317*T1^3*T2^9 - 
     856*T1^4*T2^9 + 14346*T1^5*T2^9 - 34972*T1^6*T2^9 - 3034*T1^7*T2^9 + 
     65650*T1^8*T2^9 - 56674*T1^9*T2^9 + 7446*T1^10*T2^9 + 4360*T1^11*T2^9 - 
     1169*T1^12*T2^9 + 424*T1^4*T2^10 - 1792*T1^5*T2^10 - 1418*T1^6*T2^10 + 
     18446*T1^7*T2^10 - 25632*T1^8*T2^10 + 7446*T1^9*T2^10 + 
     8182*T1^10*T2^10 - 4992*T1^11*T2^10 + 824*T1^12*T2^10 - 200*T1^5*T2^11 + 
     1336*T1^6*T2^11 - 2880*T1^7*T2^11 + 488*T1^8*T2^11 + 4360*T1^9*T2^11 - 
     4992*T1^10*T2^11 + 1912*T1^11*T2^11 - 264*T1^12*T2^11 + 33*T1^6*T2^12 - 
     264*T1^7*T2^12 + 824*T1^8*T2^12 - 1169*T1^9*T2^12 + 824*T1^10*T2^12 - 
     264*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 451] -> 
  {-(((1 - T + T^2)*(-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^4), 
   -((-5 + 40*T1 - 135*T1^2 + 265*T1^3 - 325*T1^4 + 265*T1^5 - 135*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 1256*T1^3*T2 + 
      904*T1^4*T2 - 40*T1^5*T2 - 616*T1^6*T2 + 544*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1677*T1^2*T2^2 + 886*T1^3*T2^2 + 
      2616*T1^4*T2^2 - 5207*T1^5*T2^2 + 4668*T1^6*T2^2 - 1544*T1^7*T2^2 - 
      273*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 265*T2^3 - 
      1256*T1*T2^3 + 886*T1^2*T2^3 + 4231*T1^3*T2^3 - 11958*T1^4*T2^3 + 
      10672*T1^5*T2^3 - 2096*T1^6*T2^3 - 6285*T1^7*T2^3 + 5257*T1^8*T2^3 - 
      1463*T1^9*T2^3 - 200*T1^10*T2^3 + 106*T1^11*T2^3 - 325*T2^4 + 
      904*T1*T2^4 + 2616*T1^2*T2^4 - 11958*T1^3*T2^4 + 16389*T1^4*T2^4 + 
      712*T1^5*T2^4 - 18345*T1^6*T2^4 + 21236*T1^7*T2^4 - 5131*T1^8*T2^4 - 
      3690*T1^9*T2^4 + 2852*T1^10*T2^4 - 328*T1^11*T2^4 - 65*T1^12*T2^4 + 
      265*T2^5 - 40*T1*T2^5 - 5207*T1^2*T2^5 + 10672*T1^3*T2^5 + 
      712*T1^4*T2^5 - 33626*T1^5*T2^5 + 38914*T1^6*T2^5 - 14419*T1^7*T2^5 - 
      18716*T1^8*T2^5 + 17642*T1^9*T2^5 - 4524*T1^10*T2^5 - 1313*T1^11*T2^5 + 
      520*T1^12*T2^5 - 135*T2^6 - 616*T1*T2^6 + 4668*T1^2*T2^6 - 
      2096*T1^3*T2^6 - 18345*T1^4*T2^6 + 38914*T1^5*T2^6 - 6184*T1^6*T2^6 - 
      39264*T1^7*T2^6 + 55088*T1^8*T2^6 - 19078*T1^9*T2^6 - 6443*T1^10*T2^6 + 
      7030*T1^11*T2^6 - 1016*T1^12*T2^6 - 216*T1^13*T2^6 + 27*T1^14*T2^6 + 
      40*T2^7 + 544*T1*T2^7 - 1544*T1^2*T2^7 - 6285*T1^3*T2^7 + 
      21236*T1^4*T2^7 - 14419*T1^5*T2^7 - 39264*T1^6*T2^7 + 64660*T1^7*T2^7 - 
      35706*T1^8*T2^7 - 20245*T1^9*T2^7 + 29596*T1^10*T2^7 - 
      10070*T1^11*T2^7 - 1578*T1^12*T2^7 + 1291*T1^13*T2^7 - 88*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 273*T1^2*T2^8 + 5257*T1^3*T2^8 - 
      5131*T1^4*T2^8 - 18716*T1^5*T2^8 + 55088*T1^6*T2^8 - 35706*T1^7*T2^8 - 
      21720*T1^8*T2^8 + 56478*T1^9*T2^8 - 31234*T1^10*T2^8 - 
      2660*T1^11*T2^8 + 8825*T1^12*T2^8 - 2509*T1^13*T2^8 - 213*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 
      1463*T1^3*T2^9 - 3690*T1^4*T2^9 + 17642*T1^5*T2^9 - 19078*T1^6*T2^9 - 
      20245*T1^7*T2^9 + 56478*T1^8*T2^9 - 43888*T1^9*T2^9 - 1226*T1^10*T2^9 + 
      24937*T1^11*T2^9 - 13664*T1^12*T2^9 + 1017*T1^13*T2^9 + 
      1372*T1^14*T2^9 - 240*T1^15*T2^9 - 24*T1^16*T2^9 - 81*T1^2*T2^10 - 
      200*T1^3*T2^10 + 2852*T1^4*T2^10 - 4524*T1^5*T2^10 - 6443*T1^6*T2^10 + 
      29596*T1^7*T2^10 - 31234*T1^8*T2^10 - 1226*T1^9*T2^10 + 
      30038*T1^10*T2^10 - 28396*T1^11*T2^10 + 5459*T1^12*T2^10 + 
      4602*T1^13*T2^10 - 2832*T1^14*T2^10 + 200*T1^15*T2^10 + 
      81*T1^16*T2^10 + 106*T1^3*T2^11 - 328*T1^4*T2^11 - 1313*T1^5*T2^11 + 
      7030*T1^6*T2^11 - 10070*T1^7*T2^11 - 2660*T1^8*T2^11 + 
      24937*T1^9*T2^11 - 28396*T1^10*T2^11 + 12250*T1^11*T2^11 + 
      6860*T1^12*T2^11 - 8166*T1^13*T2^11 + 2581*T1^14*T2^11 + 
      232*T1^15*T2^11 - 159*T1^16*T2^11 - 65*T1^4*T2^12 + 520*T1^5*T2^12 - 
      1016*T1^6*T2^12 - 1578*T1^7*T2^12 + 8825*T1^8*T2^12 - 
      13664*T1^9*T2^12 + 5459*T1^10*T2^12 + 6860*T1^11*T2^12 - 
      12695*T1^12*T2^12 + 6690*T1^13*T2^12 - 780*T1^14*T2^12 - 
      712*T1^15*T2^12 + 195*T1^16*T2^12 - 216*T1^6*T2^13 + 1291*T1^7*T2^13 - 
      2509*T1^8*T2^13 + 1017*T1^9*T2^13 + 4602*T1^10*T2^13 - 
      8166*T1^11*T2^13 + 6690*T1^12*T2^13 - 1483*T1^13*T2^13 - 
      1058*T1^14*T2^13 + 840*T1^15*T2^13 - 159*T1^16*T2^13 + 27*T1^6*T2^14 - 
      88*T1^7*T2^14 - 213*T1^8*T2^14 + 1372*T1^9*T2^14 - 2832*T1^10*T2^14 + 
      2581*T1^11*T2^14 - 780*T1^12*T2^14 - 1058*T1^13*T2^14 + 
      1191*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 200*T1^10*T2^15 + 232*T1^11*T2^15 - 
      712*T1^12*T2^15 + 840*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      159*T1^11*T2^16 + 195*T1^12*T2^16 - 159*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 452] -> 
  {(1 - 8*T + 28*T^2 - 55*T^3 + 69*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 220*T1^3 - 276*T1^4 + 220*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1088*T1^3*T2 + 
     888*T1^4*T2 - 104*T1^5*T2 - 424*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1662*T1^2*T2^2 + 1263*T1^3*T2^2 + 
     1197*T1^4*T2^2 - 3922*T1^5*T2^2 + 3493*T1^6*T2^2 - 1369*T1^7*T2^2 - 
     150*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 220*T2^3 - 
     1088*T1*T2^3 + 1263*T1^2*T2^3 + 3061*T1^3*T2^3 - 9491*T1^4*T2^3 + 
     11072*T1^5*T2^3 - 3009*T1^6*T2^3 - 3604*T1^7*T2^3 + 4237*T1^8*T2^3 - 
     1341*T1^9*T2^3 + 8*T1^10*T2^3 + 55*T1^11*T2^3 - 276*T2^4 + 888*T1*T2^4 + 
     1197*T1^2*T2^4 - 9491*T1^3*T2^4 + 13135*T1^4*T2^4 - 2402*T1^5*T2^4 - 
     18417*T1^6*T2^4 + 20706*T1^7*T2^4 - 9457*T1^8*T2^4 - 911*T1^9*T2^4 + 
     1885*T1^10*T2^4 - 440*T1^11*T2^4 + 220*T2^5 - 104*T1*T2^5 - 
     3922*T1^2*T2^5 + 11072*T1^3*T2^5 - 2402*T1^4*T2^5 - 23173*T1^5*T2^5 + 
     42790*T1^6*T2^5 - 20622*T1^7*T2^5 - 7465*T1^8*T2^5 + 15919*T1^9*T2^5 - 
     6311*T1^10*T2^5 + 86*T1^11*T2^5 + 440*T1^12*T2^5 - 55*T1^13*T2^5 - 
     112*T2^6 - 424*T1*T2^6 + 3493*T1^2*T2^6 - 3009*T1^3*T2^6 - 
     18417*T1^4*T2^6 + 42790*T1^5*T2^6 - 35378*T1^6*T2^6 - 18324*T1^7*T2^6 + 
     44862*T1^8*T2^6 - 28378*T1^9*T2^6 + 703*T1^10*T2^6 + 6119*T1^11*T2^6 - 
     2019*T1^12*T2^6 - 8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1369*T1^2*T2^7 - 3604*T1^3*T2^7 + 20706*T1^4*T2^7 - 20622*T1^5*T2^7 - 
     18324*T1^6*T2^7 + 70381*T1^7*T2^7 - 56555*T1^8*T2^7 + 2073*T1^9*T2^7 + 
     27278*T1^10*T2^7 - 16763*T1^11*T2^7 + 1281*T1^12*T2^7 + 
     1403*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 150*T1^2*T2^8 + 4237*T1^3*T2^8 - 9457*T1^4*T2^8 - 
     7465*T1^5*T2^8 + 44862*T1^6*T2^8 - 56555*T1^7*T2^8 + 2148*T1^8*T2^8 + 
     54407*T1^9*T2^8 - 47136*T1^10*T2^8 + 9461*T1^11*T2^8 + 9383*T1^12*T2^8 - 
     4489*T1^13*T2^8 + 138*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 256*T1^2*T2^9 - 1341*T1^3*T2^9 - 911*T1^4*T2^9 + 
     15919*T1^5*T2^9 - 28378*T1^6*T2^9 + 2073*T1^7*T2^9 + 54407*T1^8*T2^9 - 
     72529*T1^9*T2^9 + 22470*T1^10*T2^9 + 19522*T1^11*T2^9 - 
     21550*T1^12*T2^9 + 3974*T1^13*T2^9 + 1431*T1^14*T2^9 - 416*T1^15*T2^9 - 
     32*T1^16*T2^9 - 56*T1^2*T2^10 + 8*T1^3*T2^10 + 1885*T1^4*T2^10 - 
     6311*T1^5*T2^10 + 703*T1^6*T2^10 + 27278*T1^7*T2^10 - 47136*T1^8*T2^10 + 
     22470*T1^9*T2^10 + 33104*T1^10*T2^10 - 43890*T1^11*T2^10 + 
     19823*T1^12*T2^10 + 2817*T1^13*T2^10 - 3627*T1^14*T2^10 + 
     424*T1^15*T2^10 + 112*T1^16*T2^10 + 55*T1^3*T2^11 - 440*T1^4*T2^11 + 
     86*T1^5*T2^11 + 6119*T1^6*T2^11 - 16763*T1^7*T2^11 + 9461*T1^8*T2^11 + 
     19522*T1^9*T2^11 - 43890*T1^10*T2^11 + 25169*T1^11*T2^11 + 
     1558*T1^12*T2^11 - 11264*T1^13*T2^11 + 4094*T1^14*T2^11 + 
     104*T1^15*T2^11 - 220*T1^16*T2^11 + 440*T1^5*T2^12 - 2019*T1^6*T2^12 + 
     1281*T1^7*T2^12 + 9383*T1^8*T2^12 - 21550*T1^9*T2^12 + 
     19823*T1^10*T2^12 + 1558*T1^11*T2^12 - 13209*T1^12*T2^12 + 
     9861*T1^13*T2^12 - 1331*T1^14*T2^12 - 888*T1^15*T2^12 + 
     276*T1^16*T2^12 - 55*T1^5*T2^13 - 8*T1^6*T2^13 + 1403*T1^7*T2^13 - 
     4489*T1^8*T2^13 + 3974*T1^9*T2^13 + 2817*T1^10*T2^13 - 
     11264*T1^11*T2^13 + 9861*T1^12*T2^13 - 3313*T1^13*T2^13 - 
     1201*T1^14*T2^13 + 1088*T1^15*T2^13 - 220*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 138*T1^8*T2^14 + 1431*T1^9*T2^14 - 3627*T1^10*T2^14 + 
     4094*T1^11*T2^14 - 1331*T1^12*T2^14 - 1201*T1^13*T2^14 + 
     1650*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 424*T1^10*T2^15 + 104*T1^11*T2^15 - 
     888*T1^12*T2^15 + 1088*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     220*T1^11*T2^16 + 276*T1^12*T2^16 - 220*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 453] -> 
  {(1 - 7*T + 18*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 18*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 72*T1^2 + 120*T1^3 - 148*T1^4 + 120*T1^5 - 72*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 357*T1^2*T2 - 462*T1^3*T2 + 
     406*T1^4*T2 - 63*T1^5*T2 - 126*T1^6*T2 + 182*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 72*T2^2 + 357*T1*T2^2 - 298*T1^2*T2^2 - 249*T1^3*T2^2 + 
     1123*T1^4*T2^2 - 2230*T1^5*T2^2 + 1807*T1^6*T2^2 - 1077*T1^7*T2^2 + 
     314*T1^8*T2^2 + 105*T1^9*T2^2 - 36*T1^10*T2^2 + 120*T2^3 - 462*T1*T2^3 - 
     249*T1^2*T2^3 + 1500*T1^3*T2^3 - 2608*T1^4*T2^3 + 3388*T1^5*T2^3 - 
     734*T1^6*T2^3 - 520*T1^7*T2^3 + 1140*T1^8*T2^3 - 861*T1^9*T2^3 + 
     42*T1^10*T2^3 + 30*T1^11*T2^3 - 148*T2^4 + 406*T1*T2^4 + 
     1123*T1^2*T2^4 - 2608*T1^3*T2^4 + 3264*T1^4*T2^4 - 3207*T1^5*T2^4 - 
     1512*T1^6*T2^4 + 1369*T1^7*T2^4 - 1068*T1^8*T2^4 + 92*T1^9*T2^4 + 
     847*T1^10*T2^4 - 210*T1^11*T2^4 + 120*T2^5 - 63*T1*T2^5 - 
     2230*T1^2*T2^5 + 3388*T1^3*T2^5 - 3207*T1^4*T2^5 + 2345*T1^5*T2^5 + 
     2930*T1^6*T2^5 + 296*T1^7*T2^5 - 1273*T1^8*T2^5 + 1830*T1^9*T2^5 - 
     1778*T1^10*T2^5 - 31*T1^11*T2^5 + 210*T1^12*T2^5 - 30*T1^13*T2^5 - 
     72*T2^6 - 126*T1*T2^6 + 1807*T1^2*T2^6 - 734*T1^3*T2^6 - 
     1512*T1^4*T2^6 + 2930*T1^5*T2^6 - 6043*T1^6*T2^6 - 963*T1^7*T2^6 + 
     1781*T1^8*T2^6 - 706*T1^9*T2^6 - 72*T1^10*T2^6 + 1822*T1^11*T2^6 - 
     797*T1^12*T2^6 - 42*T1^13*T2^6 + 36*T1^14*T2^6 + 28*T2^7 + 182*T1*T2^7 - 
     1077*T1^2*T2^7 - 520*T1^3*T2^7 + 1369*T1^4*T2^7 + 296*T1^5*T2^7 - 
     963*T1^6*T2^7 + 7539*T1^7*T2^7 - 4429*T1^8*T2^7 - 315*T1^9*T2^7 + 
     926*T1^10*T2^7 - 1824*T1^11*T2^7 - 160*T1^12*T2^7 + 831*T1^13*T2^7 - 
     105*T1^14*T2^7 - 21*T1^15*T2^7 - 4*T2^8 - 119*T1*T2^8 + 314*T1^2*T2^8 + 
     1140*T1^3*T2^8 - 1068*T1^4*T2^8 - 1273*T1^5*T2^8 + 1781*T1^6*T2^8 - 
     4429*T1^7*T2^8 - 528*T1^8*T2^8 + 4905*T1^9*T2^8 - 1639*T1^10*T2^8 + 
     1085*T1^11*T2^8 + 1136*T1^12*T2^8 - 1080*T1^13*T2^8 - 304*T1^14*T2^8 + 
     119*T1^15*T2^8 + 4*T1^16*T2^8 + 21*T1*T2^9 + 105*T1^2*T2^9 - 
     861*T1^3*T2^9 + 92*T1^4*T2^9 + 1830*T1^5*T2^9 - 706*T1^6*T2^9 - 
     315*T1^7*T2^9 + 4905*T1^8*T2^9 - 7063*T1^9*T2^9 + 333*T1^10*T2^9 - 
     76*T1^11*T2^9 - 1363*T1^12*T2^9 + 452*T1^13*T2^9 + 1047*T1^14*T2^9 - 
     182*T1^15*T2^9 - 28*T1^16*T2^9 - 36*T1^2*T2^10 + 42*T1^3*T2^10 + 
     847*T1^4*T2^10 - 1778*T1^5*T2^10 - 72*T1^6*T2^10 + 926*T1^7*T2^10 - 
     1639*T1^8*T2^10 + 333*T1^9*T2^10 + 6185*T1^10*T2^10 - 2710*T1^11*T2^10 + 
     1368*T1^12*T2^10 + 778*T1^13*T2^10 - 1757*T1^14*T2^10 + 
     126*T1^15*T2^10 + 72*T1^16*T2^10 + 30*T1^3*T2^11 - 210*T1^4*T2^11 - 
     31*T1^5*T2^11 + 1822*T1^6*T2^11 - 1824*T1^7*T2^11 + 1085*T1^8*T2^11 - 
     76*T1^9*T2^11 - 2710*T1^10*T2^11 - 2533*T1^11*T2^11 + 3213*T1^12*T2^11 - 
     3344*T1^13*T2^11 + 2168*T1^14*T2^11 + 63*T1^15*T2^11 - 120*T1^16*T2^11 + 
     210*T1^5*T2^12 - 797*T1^6*T2^12 - 160*T1^7*T2^12 + 1136*T1^8*T2^12 - 
     1363*T1^9*T2^12 + 1368*T1^10*T2^12 + 3213*T1^11*T2^12 - 
     3196*T1^12*T2^12 + 2540*T1^13*T2^12 - 1073*T1^14*T2^12 - 
     406*T1^15*T2^12 + 148*T1^16*T2^12 - 30*T1^5*T2^13 - 42*T1^6*T2^13 + 
     831*T1^7*T2^13 - 1080*T1^8*T2^13 + 452*T1^9*T2^13 + 778*T1^10*T2^13 - 
     3344*T1^11*T2^13 + 2540*T1^12*T2^13 - 1440*T1^13*T2^13 + 
     219*T1^14*T2^13 + 462*T1^15*T2^13 - 120*T1^16*T2^13 + 36*T1^6*T2^14 - 
     105*T1^7*T2^14 - 304*T1^8*T2^14 + 1047*T1^9*T2^14 - 1757*T1^10*T2^14 + 
     2168*T1^11*T2^14 - 1073*T1^12*T2^14 + 219*T1^13*T2^14 + 
     308*T1^14*T2^14 - 357*T1^15*T2^14 + 72*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 182*T1^9*T2^15 + 126*T1^10*T2^15 + 63*T1^11*T2^15 - 
     406*T1^12*T2^15 + 462*T1^13*T2^15 - 357*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 72*T1^10*T2^16 - 
     120*T1^11*T2^16 + 148*T1^12*T2^16 - 120*T1^13*T2^16 + 72*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 454] -> 
  {(2 - 12*T + 24*T^2 - 27*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-31 + 185*T1 - 369*T1^2 + 415*T1^3 - 369*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 966*T1*T2 + 1384*T1^2*T2 - 850*T1^3*T2 + 374*T1^4*T2 + 
     520*T1^5*T2 - 630*T1^6*T2 + 137*T1^7*T2 - 369*T2^2 + 1384*T1*T2^2 + 
     300*T1^2*T2^2 - 3724*T1^3*T2^2 + 4468*T1^4*T2^2 - 5164*T1^5*T2^2 + 
     2412*T1^6*T2^2 + 232*T1^7*T2^2 - 177*T1^8*T2^2 + 415*T2^3 - 
     850*T1*T2^3 - 3724*T1^2*T2^3 + 7778*T1^3*T2^3 - 5098*T1^4*T2^3 + 
     3758*T1^5*T2^3 + 2108*T1^6*T2^3 - 3580*T1^7*T2^3 + 518*T1^8*T2^3 + 
     91*T1^9*T2^3 - 369*T2^4 + 374*T1*T2^4 + 4468*T1^2*T2^4 - 
     5098*T1^3*T2^4 - 2112*T1^4*T2^4 + 3788*T1^5*T2^4 - 7608*T1^6*T2^4 + 
     3974*T1^7*T2^4 + 1300*T1^8*T2^4 - 634*T1^9*T2^4 + 15*T1^10*T2^4 + 
     185*T2^5 + 520*T1*T2^5 - 5164*T1^2*T2^5 + 3758*T1^3*T2^5 + 
     3788*T1^4*T2^5 - 2160*T1^5*T2^5 + 1464*T1^6*T2^5 + 2636*T1^7*T2^5 - 
     4666*T1^8*T2^5 + 1028*T1^9*T2^5 + 232*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 630*T1*T2^6 + 2412*T1^2*T2^6 + 2108*T1^3*T2^6 - 
     7608*T1^4*T2^6 + 1464*T1^5*T2^6 + 2292*T1^6*T2^6 - 3432*T1^7*T2^6 + 
     2760*T1^8*T2^6 + 1460*T1^9*T2^6 - 1620*T1^10*T2^6 + 234*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 232*T1^2*T2^7 - 3580*T1^3*T2^7 + 
     3974*T1^4*T2^7 + 2636*T1^5*T2^7 - 3432*T1^6*T2^7 + 192*T1^7*T2^7 + 
     1484*T1^8*T2^7 - 4450*T1^9*T2^7 + 2612*T1^10*T2^7 - 56*T1^11*T2^7 - 
     103*T1^12*T2^7 - 177*T1^2*T2^8 + 518*T1^3*T2^8 + 1300*T1^4*T2^8 - 
     4666*T1^5*T2^8 + 2760*T1^6*T2^8 + 1484*T1^7*T2^8 - 2736*T1^8*T2^8 + 
     4406*T1^9*T2^8 - 1868*T1^10*T2^8 - 490*T1^11*T2^8 + 207*T1^12*T2^8 + 
     91*T1^3*T2^9 - 634*T1^4*T2^9 + 1028*T1^5*T2^9 + 1460*T1^6*T2^9 - 
     4450*T1^7*T2^9 + 4406*T1^8*T2^9 - 4210*T1^9*T2^9 + 1172*T1^10*T2^9 + 
     734*T1^11*T2^9 - 233*T1^12*T2^9 + 15*T1^4*T2^10 + 232*T1^5*T2^10 - 
     1620*T1^6*T2^10 + 2612*T1^7*T2^10 - 1868*T1^8*T2^10 + 1172*T1^9*T2^10 + 
     492*T1^10*T2^10 - 920*T1^11*T2^10 + 207*T1^12*T2^10 - 55*T1^5*T2^11 + 
     234*T1^6*T2^11 - 56*T1^7*T2^11 - 490*T1^8*T2^11 + 734*T1^9*T2^11 - 
     920*T1^10*T2^11 + 570*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 207*T1^8*T2^12 - 233*T1^9*T2^12 + 207*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 455] -> 
  {-((1 - 8*T + 27*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 81*T1^2 + 156*T1^3 - 189*T1^4 + 156*T1^5 - 
      81*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 
      816*T1^3*T2 + 680*T1^4*T2 - 240*T1^5*T2 - 184*T1^6*T2 + 240*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1191*T1^2*T2^2 + 
      978*T1^3*T2^2 + 812*T1^4*T2^2 - 2431*T1^5*T2^2 + 2756*T1^6*T2^2 - 
      1398*T1^7*T2^2 + 213*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 
      156*T2^3 - 816*T1*T2^3 + 978*T1^2*T2^3 + 1790*T1^3*T2^3 - 
      6754*T1^4*T2^3 + 7828*T1^5*T2^3 - 4688*T1^6*T2^3 - 766*T1^7*T2^3 + 
      2498*T1^8*T2^3 - 1290*T1^9*T2^3 + 216*T1^10*T2^3 - 189*T2^4 + 
      680*T1*T2^4 + 812*T1^2*T2^4 - 6754*T1^3*T2^4 + 11795*T1^4*T2^4 - 
      5459*T1^5*T2^4 - 5427*T1^6*T2^4 + 13405*T1^7*T2^4 - 9189*T1^8*T2^4 + 
      1774*T1^9*T2^4 + 960*T1^10*T2^4 - 504*T1^11*T2^4 + 63*T1^12*T2^4 + 
      156*T2^5 - 240*T1*T2^5 - 2431*T1^2*T2^5 + 7828*T1^3*T2^5 - 
      5459*T1^4*T2^5 - 13056*T1^5*T2^5 + 26626*T1^6*T2^5 - 24486*T1^7*T2^5 + 
      4288*T1^8*T2^5 + 9157*T1^9*T2^5 - 6840*T1^10*T2^5 + 1241*T1^11*T2^5 + 
      328*T1^12*T2^5 - 104*T1^13*T2^5 - 81*T2^6 - 184*T1*T2^6 + 
      2756*T1^2*T2^6 - 4688*T1^3*T2^6 - 5427*T1^4*T2^6 + 26626*T1^5*T2^6 - 
      26612*T1^6*T2^6 + 2764*T1^7*T2^6 + 26856*T1^8*T2^6 - 28318*T1^9*T2^6 + 
      6703*T1^10*T2^6 + 4600*T1^11*T2^6 - 2780*T1^12*T2^6 + 184*T1^13*T2^6 + 
      81*T1^14*T2^6 + 24*T2^7 + 240*T1*T2^7 - 1398*T1^2*T2^7 - 
      766*T1^3*T2^7 + 13405*T1^4*T2^7 - 24486*T1^5*T2^7 + 2764*T1^6*T2^7 + 
      34392*T1^7*T2^7 - 46896*T1^8*T2^7 + 18244*T1^9*T2^7 + 
      18962*T1^10*T2^7 - 18203*T1^11*T2^7 + 3406*T1^12*T2^7 + 
      1518*T1^13*T2^7 - 392*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 213*T1^2*T2^8 + 2498*T1^3*T2^8 - 9189*T1^4*T2^8 + 
      4288*T1^5*T2^8 + 26856*T1^6*T2^8 - 46896*T1^7*T2^8 + 18012*T1^8*T2^8 + 
      29408*T1^9*T2^8 - 50056*T1^10*T2^8 + 17040*T1^11*T2^8 + 
      6815*T1^12*T2^8 - 5470*T1^13*T2^8 + 273*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 88*T1^2*T2^9 - 1290*T1^3*T2^9 + 
      1774*T1^4*T2^9 + 9157*T1^5*T2^9 - 28318*T1^6*T2^9 + 18244*T1^7*T2^9 + 
      29408*T1^8*T2^9 - 51880*T1^9*T2^9 + 33724*T1^10*T2^9 + 
      15130*T1^11*T2^9 - 22451*T1^12*T2^9 + 5946*T1^13*T2^9 + 
      1626*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 27*T1^2*T2^10 + 
      216*T1^3*T2^10 + 960*T1^4*T2^10 - 6840*T1^5*T2^10 + 6703*T1^6*T2^10 + 
      18962*T1^7*T2^10 - 50056*T1^8*T2^10 + 33724*T1^9*T2^10 + 
      3412*T1^10*T2^10 - 35982*T1^11*T2^10 + 18833*T1^12*T2^10 + 
      2448*T1^13*T2^10 - 4576*T1^14*T2^10 + 584*T1^15*T2^10 + 
      135*T1^16*T2^10 - 504*T1^4*T2^11 + 1241*T1^5*T2^11 + 4600*T1^6*T2^11 - 
      18203*T1^7*T2^11 + 17040*T1^8*T2^11 + 15130*T1^9*T2^11 - 
      35982*T1^10*T2^11 + 34384*T1^11*T2^11 - 3587*T1^12*T2^11 - 
      10068*T1^13*T2^11 + 4913*T1^14*T2^11 + 64*T1^15*T2^11 - 
      260*T1^16*T2^11 + 63*T1^4*T2^12 + 328*T1^5*T2^12 - 2780*T1^6*T2^12 + 
      3406*T1^7*T2^12 + 6815*T1^8*T2^12 - 22451*T1^9*T2^12 + 
      18833*T1^10*T2^12 - 3587*T1^11*T2^12 - 14169*T1^12*T2^12 + 
      11934*T1^13*T2^12 - 2632*T1^14*T2^12 - 856*T1^15*T2^12 + 
      315*T1^16*T2^12 - 104*T1^5*T2^13 + 184*T1^6*T2^13 + 1518*T1^7*T2^13 - 
      5470*T1^8*T2^13 + 5946*T1^9*T2^13 + 2448*T1^10*T2^13 - 
      10068*T1^11*T2^13 + 11934*T1^12*T2^13 - 4762*T1^13*T2^13 - 
      750*T1^14*T2^13 + 1216*T1^15*T2^13 - 260*T1^16*T2^13 + 81*T1^6*T2^14 - 
      392*T1^7*T2^14 + 273*T1^8*T2^14 + 1626*T1^9*T2^14 - 4576*T1^10*T2^14 + 
      4913*T1^11*T2^14 - 2632*T1^12*T2^14 - 750*T1^13*T2^14 + 
      1677*T1^14*T2^14 - 824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 544*T1^9*T2^15 + 584*T1^10*T2^15 + 64*T1^11*T2^15 - 
      856*T1^12*T2^15 + 1216*T1^13*T2^15 - 824*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      135*T1^10*T2^16 - 260*T1^11*T2^16 + 315*T1^12*T2^16 - 260*T1^13*T2^16 + 
      135*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 456] -> 
  {((1 - 3*T + 5*T^2 - 5*T^3 + T^4)*(1 - 5*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 192*T1^3 - 244*T1^4 + 192*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 608*T1^2*T2 - 936*T1^3*T2 + 
     800*T1^4*T2 - 72*T1^5*T2 - 352*T1^6*T2 + 344*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 608*T1*T2^2 - 1009*T1^2*T2^2 + 379*T1^3*T2^2 + 
     1914*T1^4*T2^2 - 4577*T1^5*T2^2 + 3714*T1^6*T2^2 - 1621*T1^7*T2^2 + 
     191*T1^8*T2^2 + 208*T1^9*T2^2 - 50*T1^10*T2^2 + 192*T2^3 - 936*T1*T2^3 + 
     379*T1^2*T2^3 + 2700*T1^3*T2^3 - 7591*T1^4*T2^3 + 9460*T1^5*T2^3 - 
     1828*T1^6*T2^3 - 2927*T1^7*T2^3 + 3156*T1^8*T2^3 - 1421*T1^9*T2^3 + 
     16*T1^10*T2^3 + 48*T1^11*T2^3 - 244*T2^4 + 800*T1*T2^4 + 
     1914*T1^2*T2^4 - 7591*T1^3*T2^4 + 12385*T1^4*T2^4 - 8104*T1^5*T2^4 - 
     8923*T1^6*T2^4 + 9784*T1^7*T2^4 - 3695*T1^8*T2^4 - 871*T1^9*T2^4 + 
     1870*T1^10*T2^4 - 384*T1^11*T2^4 + 192*T2^5 - 72*T1*T2^5 - 
     4577*T1^2*T2^5 + 9460*T1^3*T2^5 - 8104*T1^4*T2^5 - 5626*T1^5*T2^5 + 
     24141*T1^6*T2^5 - 7707*T1^7*T2^5 - 7282*T1^8*T2^5 + 9392*T1^9*T2^5 - 
     4820*T1^10*T2^5 - 65*T1^11*T2^5 + 384*T1^12*T2^5 - 48*T1^13*T2^5 - 
     100*T2^6 - 352*T1*T2^6 + 3714*T1^2*T2^6 - 1828*T1^3*T2^6 - 
     8923*T1^4*T2^6 + 24141*T1^5*T2^6 - 25282*T1^6*T2^6 - 14332*T1^7*T2^6 + 
     26678*T1^8*T2^6 - 12899*T1^9*T2^6 - 301*T1^10*T2^6 + 4972*T1^11*T2^6 - 
     1774*T1^12*T2^6 - 16*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     344*T1*T2^7 - 1621*T1^2*T2^7 - 2927*T1^3*T2^7 + 9784*T1^4*T2^7 - 
     7707*T1^5*T2^7 - 14332*T1^6*T2^7 + 52412*T1^7*T2^7 - 36436*T1^8*T2^7 - 
     1388*T1^9*T2^7 + 13757*T1^10*T2^7 - 9280*T1^11*T2^7 + 633*T1^12*T2^7 + 
     1379*T1^13*T2^7 - 208*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 191*T1^2*T2^8 + 3156*T1^3*T2^8 - 3695*T1^4*T2^8 - 
     7282*T1^5*T2^8 + 26678*T1^6*T2^8 - 36436*T1^7*T2^8 - 2568*T1^8*T2^8 + 
     38604*T1^9*T2^8 - 25874*T1^10*T2^8 + 6350*T1^11*T2^8 + 3997*T1^12*T2^8 - 
     3020*T1^13*T2^8 - 181*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 208*T1^2*T2^9 - 1421*T1^3*T2^9 - 871*T1^4*T2^9 + 
     9392*T1^5*T2^9 - 12899*T1^6*T2^9 - 1388*T1^7*T2^9 + 38604*T1^8*T2^9 - 
     50244*T1^9*T2^9 + 11556*T1^10*T2^9 + 8565*T1^11*T2^9 - 9672*T1^12*T2^9 + 
     2689*T1^13*T2^9 + 1579*T1^14*T2^9 - 344*T1^15*T2^9 - 32*T1^16*T2^9 - 
     50*T1^2*T2^10 + 16*T1^3*T2^10 + 1870*T1^4*T2^10 - 4820*T1^5*T2^10 - 
     301*T1^6*T2^10 + 13757*T1^7*T2^10 - 25874*T1^8*T2^10 + 
     11556*T1^9*T2^10 + 26086*T1^10*T2^10 - 23283*T1^11*T2^10 + 
     8321*T1^12*T2^10 + 1980*T1^13*T2^10 - 3618*T1^14*T2^10 + 
     352*T1^15*T2^10 + 100*T1^16*T2^10 + 48*T1^3*T2^11 - 384*T1^4*T2^11 - 
     65*T1^5*T2^11 + 4972*T1^6*T2^11 - 9280*T1^7*T2^11 + 6350*T1^8*T2^11 + 
     8565*T1^9*T2^11 - 23283*T1^10*T2^11 + 4694*T1^11*T2^11 + 
     8216*T1^12*T2^11 - 9308*T1^13*T2^11 + 4447*T1^14*T2^11 + 
     72*T1^15*T2^11 - 192*T1^16*T2^11 + 384*T1^5*T2^12 - 1774*T1^6*T2^12 + 
     633*T1^7*T2^12 + 3997*T1^8*T2^12 - 9672*T1^9*T2^12 + 8321*T1^10*T2^12 + 
     8216*T1^11*T2^12 - 12083*T1^12*T2^12 + 7353*T1^13*T2^12 - 
     1818*T1^14*T2^12 - 800*T1^15*T2^12 + 244*T1^16*T2^12 - 48*T1^5*T2^13 - 
     16*T1^6*T2^13 + 1379*T1^7*T2^13 - 3020*T1^8*T2^13 + 2689*T1^9*T2^13 + 
     1980*T1^10*T2^13 - 9308*T1^11*T2^13 + 7353*T1^12*T2^13 - 
     2564*T1^13*T2^13 - 421*T1^14*T2^13 + 936*T1^15*T2^13 - 192*T1^16*T2^13 + 
     50*T1^6*T2^14 - 208*T1^7*T2^14 - 181*T1^8*T2^14 + 1579*T1^9*T2^14 - 
     3618*T1^10*T2^14 + 4447*T1^11*T2^14 - 1818*T1^12*T2^14 - 
     421*T1^13*T2^14 + 1019*T1^14*T2^14 - 608*T1^15*T2^14 + 100*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 344*T1^9*T2^15 + 352*T1^10*T2^15 + 
     72*T1^11*T2^15 - 800*T1^12*T2^15 + 936*T1^13*T2^15 - 608*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     100*T1^10*T2^16 - 192*T1^11*T2^16 + 244*T1^12*T2^16 - 192*T1^13*T2^16 + 
     100*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 457] -> 
  {-((1 - 8*T + 29*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 87*T1^2 + 180*T1^3 - 225*T1^4 + 180*T1^5 - 
      87*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 568*T1^2*T2 - 
      976*T1^3*T2 + 840*T1^4*T2 - 240*T1^5*T2 - 264*T1^6*T2 + 272*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 87*T2^2 + 568*T1*T2^2 - 1531*T1^2*T2^2 + 
      1753*T1^3*T2^2 + 287*T1^4*T2^2 - 2601*T1^5*T2^2 + 2955*T1^6*T2^2 - 
      1263*T1^7*T2^2 + 93*T1^8*T2^2 + 104*T1^9*T2^2 - 29*T1^10*T2^2 + 
      180*T2^3 - 976*T1*T2^3 + 1753*T1^2*T2^3 + 774*T1^3*T2^3 - 
      7604*T1^4*T2^3 + 10052*T1^5*T2^3 - 5248*T1^6*T2^3 - 1896*T1^7*T2^3 + 
      3170*T1^8*T2^3 - 1379*T1^9*T2^3 + 232*T1^10*T2^3 - 225*T2^4 + 
      840*T1*T2^4 + 287*T1^2*T2^4 - 7604*T1^3*T2^4 + 16394*T1^4*T2^4 - 
      8191*T1^5*T2^4 - 10258*T1^6*T2^4 + 20369*T1^7*T2^4 - 11326*T1^8*T2^4 + 
      1276*T1^9*T2^4 + 1307*T1^10*T2^4 - 600*T1^11*T2^4 + 75*T1^12*T2^4 + 
      180*T2^5 - 240*T1*T2^5 - 2601*T1^2*T2^5 + 10052*T1^3*T2^5 - 
      8191*T1^4*T2^5 - 22092*T1^5*T2^5 + 47692*T1^6*T2^5 - 38108*T1^7*T2^5 + 
      1668*T1^8*T2^5 + 14729*T1^9*T2^5 - 8488*T1^10*T2^5 + 1359*T1^11*T2^5 + 
      360*T1^12*T2^5 - 120*T1^13*T2^5 - 87*T2^6 - 264*T1*T2^6 + 
      2955*T1^2*T2^6 - 5248*T1^3*T2^6 - 10258*T1^4*T2^6 + 47692*T1^5*T2^6 - 
      48736*T1^6*T2^6 - 4186*T1^7*T2^6 + 56396*T1^8*T2^6 - 46868*T1^9*T2^6 + 
      9392*T1^10*T2^6 + 5192*T1^11*T2^6 - 3009*T1^12*T2^6 + 264*T1^13*T2^6 + 
      87*T1^14*T2^6 + 24*T2^7 + 272*T1*T2^7 - 1263*T1^2*T2^7 - 
      1896*T1^3*T2^7 + 20369*T1^4*T2^7 - 38108*T1^5*T2^7 - 4186*T1^6*T2^7 + 
      84028*T1^7*T2^7 - 101308*T1^8*T2^7 + 32190*T1^9*T2^7 + 
      30172*T1^10*T2^7 - 25111*T1^11*T2^7 + 5084*T1^12*T2^7 + 
      1173*T1^13*T2^7 - 440*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 93*T1^2*T2^8 + 3170*T1^3*T2^8 - 11326*T1^4*T2^8 + 
      1668*T1^5*T2^8 + 56396*T1^6*T2^8 - 101308*T1^7*T2^8 + 38628*T1^8*T2^8 + 
      65652*T1^9*T2^8 - 91876*T1^10*T2^8 + 29748*T1^11*T2^8 + 
      6190*T1^12*T2^8 - 5886*T1^13*T2^8 + 617*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 104*T1^2*T2^9 - 1379*T1^3*T2^9 + 
      1276*T1^4*T2^9 + 14729*T1^5*T2^9 - 46868*T1^6*T2^9 + 32190*T1^7*T2^9 + 
      65652*T1^8*T2^9 - 119684*T1^9*T2^9 + 68566*T1^10*T2^9 + 
      21412*T1^11*T2^9 - 30751*T1^12*T2^9 + 8256*T1^13*T2^9 + 
      1057*T1^14*T2^9 - 608*T1^15*T2^9 - 40*T1^16*T2^9 - 29*T1^2*T2^10 + 
      232*T1^3*T2^10 + 1307*T1^4*T2^10 - 8488*T1^5*T2^10 + 9392*T1^6*T2^10 + 
      30172*T1^7*T2^10 - 91876*T1^8*T2^10 + 68566*T1^9*T2^10 + 
      13256*T1^10*T2^10 - 64388*T1^11*T2^10 + 29042*T1^12*T2^10 + 
      1952*T1^13*T2^10 - 4657*T1^14*T2^10 + 760*T1^15*T2^10 + 
      145*T1^16*T2^10 - 600*T1^4*T2^11 + 1359*T1^5*T2^11 + 5192*T1^6*T2^11 - 
      25111*T1^7*T2^11 + 29748*T1^8*T2^11 + 21412*T1^9*T2^11 - 
      64388*T1^10*T2^11 + 53508*T1^11*T2^11 - 2191*T1^12*T2^11 - 
      13348*T1^13*T2^11 + 5319*T1^14*T2^11 - 300*T1^16*T2^11 + 
      75*T1^4*T2^12 + 360*T1^5*T2^12 - 3009*T1^6*T2^12 + 5084*T1^7*T2^12 + 
      6190*T1^8*T2^12 - 30751*T1^9*T2^12 + 29042*T1^10*T2^12 - 
      2191*T1^11*T2^12 - 21530*T1^12*T2^12 + 13964*T1^13*T2^12 - 
      1989*T1^14*T2^12 - 1080*T1^15*T2^12 + 375*T1^16*T2^12 - 
      120*T1^5*T2^13 + 264*T1^6*T2^13 + 1173*T1^7*T2^13 - 5886*T1^8*T2^13 + 
      8256*T1^9*T2^13 + 1952*T1^10*T2^13 - 13348*T1^11*T2^13 + 
      13964*T1^12*T2^13 - 3490*T1^13*T2^13 - 1959*T1^14*T2^13 + 
      1472*T1^15*T2^13 - 300*T1^16*T2^13 + 87*T1^6*T2^14 - 440*T1^7*T2^14 + 
      617*T1^8*T2^14 + 1057*T1^9*T2^14 - 4657*T1^10*T2^14 + 
      5319*T1^11*T2^14 - 1989*T1^12*T2^14 - 1959*T1^13*T2^14 + 
      2241*T1^14*T2^14 - 904*T1^15*T2^14 + 145*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 608*T1^9*T2^15 + 760*T1^10*T2^15 - 1080*T1^12*T2^15 + 
      1472*T1^13*T2^15 - 904*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 145*T1^10*T2^16 - 300*T1^11*T2^16 + 
      375*T1^12*T2^16 - 300*T1^13*T2^16 + 145*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 458] -> 
  {((1 - 4*T + 6*T^2 - 5*T^3 + T^4)*(1 - 5*T + 6*T^2 - 4*T^3 + T^4))/T^4, 
   ((1 - 4*T1 + 6*T1^2 - 5*T1^3 + T1^4)*(1 - 5*T1 + 6*T1^2 - 4*T1^3 + T1^4)*
     (-1 + T1*T2)^2*(1 + T1*T2)*(1 - 4*T2 + 6*T2^2 - 5*T2^3 + T2^4)*
     (1 - 5*T2 + 6*T2^2 - 4*T2^3 + T2^4)*(4 - 19*T1*T2 + 26*T1^2*T2^2 - 
      19*T1^3*T2^3 + 4*T1^4*T2^4))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 459] -> 
  {(3 - 21*T + 58*T^2 - 79*T^3 + 58*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-51 + 357*T1 - 986*T1^2 + 1345*T1^3 - 986*T1^4 + 357*T1^5 - 51*T1^6 + 
     357*T2 - 2329*T1*T2 + 5718*T1^2*T2 - 6160*T1^3*T2 + 2471*T1^4*T2 + 
     741*T1^5*T2 - 817*T1^6*T2 + 168*T1^7*T2 - 986*T2^2 + 5718*T1*T2^2 - 
     10759*T1^2*T2^2 + 2925*T1^3*T2^2 + 12971*T1^4*T2^2 - 17259*T1^5*T2^2 + 
     8381*T1^6*T2^2 - 1590*T1^7*T2^2 + 58*T1^8*T2^2 + 1345*T2^3 - 
     6160*T1*T2^3 + 2925*T1^2*T2^3 + 29059*T1^3*T2^3 - 61850*T1^4*T2^3 + 
     48847*T1^5*T2^3 - 8861*T1^6*T2^3 - 9081*T1^7*T2^3 + 5117*T1^8*T2^3 - 
     788*T1^9*T2^3 - 986*T2^4 + 2471*T1*T2^4 + 12971*T1^2*T2^4 - 
     61850*T1^3*T2^4 + 82810*T1^4*T2^4 - 10176*T1^5*T2^4 - 71354*T1^6*T2^4 + 
     65656*T1^7*T2^4 - 16339*T1^8*T2^4 - 2191*T1^9*T2^4 + 1102*T1^10*T2^4 + 
     357*T2^5 + 741*T1*T2^5 - 17259*T1^2*T2^5 + 48847*T1^3*T2^5 - 
     10176*T1^4*T2^5 - 141325*T1^5*T2^5 + 205303*T1^6*T2^5 - 
     90796*T1^7*T2^5 - 28232*T1^8*T2^5 + 27459*T1^9*T2^5 - 3606*T1^10*T2^5 - 
     588*T1^11*T2^5 - 51*T2^6 - 817*T1*T2^6 + 8381*T1^2*T2^6 - 
     8861*T1^3*T2^6 - 71354*T1^4*T2^6 + 205303*T1^5*T2^6 - 134184*T1^6*T2^6 - 
     89035*T1^7*T2^6 + 162462*T1^8*T2^6 - 52103*T1^9*T2^6 - 5347*T1^10*T2^6 + 
     3341*T1^11*T2^6 + 111*T1^12*T2^6 + 168*T1*T2^7 - 1590*T1^2*T2^7 - 
     9081*T1^3*T2^7 + 65656*T1^4*T2^7 - 90796*T1^5*T2^7 - 89035*T1^6*T2^7 + 
     257593*T1^7*T2^7 - 171416*T1^8*T2^7 - 11423*T1^9*T2^7 + 
     35637*T1^10*T2^7 - 5937*T1^11*T2^7 - 777*T1^12*T2^7 + 58*T1^2*T2^8 + 
     5117*T1^3*T2^8 - 16339*T1^4*T2^8 - 28232*T1^5*T2^8 + 162462*T1^6*T2^8 - 
     171416*T1^7*T2^8 + 8298*T1^8*T2^8 + 99274*T1^9*T2^8 - 45649*T1^10*T2^8 + 
     455*T1^11*T2^8 + 2146*T1^12*T2^8 - 788*T1^3*T2^9 - 2191*T1^4*T2^9 + 
     27459*T1^5*T2^9 - 52103*T1^6*T2^9 - 11423*T1^7*T2^9 + 99274*T1^8*T2^9 - 
     90023*T1^9*T2^9 + 15453*T1^10*T2^9 + 9086*T1^11*T2^9 - 2921*T1^12*T2^9 + 
     1102*T1^4*T2^10 - 3606*T1^5*T2^10 - 5347*T1^6*T2^10 + 35637*T1^7*T2^10 - 
     45649*T1^8*T2^10 + 15453*T1^9*T2^10 + 13793*T1^10*T2^10 - 
     10914*T1^11*T2^10 + 2146*T1^12*T2^10 - 588*T1^5*T2^11 + 
     3341*T1^6*T2^11 - 5937*T1^7*T2^11 + 455*T1^8*T2^11 + 9086*T1^9*T2^11 - 
     10914*T1^10*T2^11 + 4853*T1^11*T2^11 - 777*T1^12*T2^11 + 
     111*T1^6*T2^12 - 777*T1^7*T2^12 + 2146*T1^8*T2^12 - 2921*T1^9*T2^12 + 
     2146*T1^10*T2^12 - 777*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 460] -> 
  {-((2 - 17*T + 53*T^2 - 77*T^3 + 53*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((-25 + 211*T1 - 656*T1^2 + 953*T1^3 - 656*T1^4 + 211*T1^5 - 25*T1^6 + 
      211*T2 - 1638*T1*T2 + 4333*T1^2*T2 - 4307*T1^3*T2 + 113*T1^4*T2 + 
      1953*T1^5*T2 - 992*T1^6*T2 + 143*T1^7*T2 - 656*T2^2 + 4333*T1*T2^2 - 
      7290*T1^2*T2^2 - 4582*T1^3*T2^2 + 22562*T1^4*T2^2 - 17302*T1^5*T2^2 + 
      3522*T1^6*T2^2 + 729*T1^7*T2^2 - 232*T1^8*T2^2 + 953*T2^3 - 
      4307*T1*T2^3 - 4582*T1^2*T2^3 + 45311*T1^3*T2^3 - 67076*T1^4*T2^3 + 
      17714*T1^5*T2^3 + 18739*T1^6*T2^3 - 11949*T1^7*T2^3 + 1745*T1^8*T2^3 + 
      29*T1^9*T2^3 - 656*T2^4 + 113*T1*T2^4 + 22562*T1^2*T2^4 - 
      67076*T1^3*T2^4 + 35868*T1^4*T2^4 + 82246*T1^5*T2^4 - 99588*T1^6*T2^4 + 
      33794*T1^7*T2^4 + 528*T1^8*T2^4 - 1859*T1^9*T2^4 + 192*T1^10*T2^4 + 
      211*T2^5 + 1953*T1*T2^5 - 17302*T1^2*T2^5 + 17714*T1^3*T2^5 + 
      82246*T1^4*T2^5 - 205986*T1^5*T2^5 + 138564*T1^6*T2^5 + 
      1103*T1^7*T2^5 - 34916*T1^8*T2^5 + 11477*T1^9*T2^5 - 563*T1^10*T2^5 - 
      129*T1^11*T2^5 - 25*T2^6 - 992*T1*T2^6 + 3522*T1^2*T2^6 + 
      18739*T1^3*T2^6 - 99588*T1^4*T2^6 + 138564*T1^5*T2^6 + 1224*T1^6*T2^6 - 
      139968*T1^7*T2^6 + 99190*T1^8*T2^6 - 17347*T1^9*T2^6 - 
      3622*T1^10*T2^6 + 912*T1^11*T2^6 + 23*T1^12*T2^6 + 143*T1*T2^7 + 
      729*T1^2*T2^7 - 11949*T1^3*T2^7 + 33794*T1^4*T2^7 + 1103*T1^5*T2^7 - 
      139968*T1^6*T2^7 + 204582*T1^7*T2^7 - 80040*T1^8*T2^7 - 
      18836*T1^9*T2^7 + 16830*T1^10*T2^7 - 1787*T1^11*T2^7 - 197*T1^12*T2^7 - 
      232*T1^2*T2^8 + 1745*T1^3*T2^8 + 528*T1^4*T2^8 - 34916*T1^5*T2^8 + 
      99190*T1^6*T2^8 - 80040*T1^7*T2^8 - 36266*T1^8*T2^8 + 65954*T1^9*T2^8 - 
      21506*T1^10*T2^8 - 227*T1^11*T2^8 + 616*T1^12*T2^8 + 29*T1^3*T2^9 - 
      1859*T1^4*T2^9 + 11477*T1^5*T2^9 - 17347*T1^6*T2^9 - 18836*T1^7*T2^9 + 
      65954*T1^8*T2^9 - 43919*T1^9*T2^9 + 4110*T1^10*T2^9 + 4193*T1^11*T2^9 - 
      895*T1^12*T2^9 + 192*T1^4*T2^10 - 563*T1^5*T2^10 - 3622*T1^6*T2^10 + 
      16830*T1^7*T2^10 - 21506*T1^8*T2^10 + 4110*T1^9*T2^10 + 
      7190*T1^10*T2^10 - 4167*T1^11*T2^10 + 616*T1^12*T2^10 - 
      129*T1^5*T2^11 + 912*T1^6*T2^11 - 1787*T1^7*T2^11 - 227*T1^8*T2^11 + 
      4193*T1^9*T2^11 - 4167*T1^10*T2^11 + 1558*T1^11*T2^11 - 
      197*T1^12*T2^11 + 23*T1^6*T2^12 - 197*T1^7*T2^12 + 616*T1^8*T2^12 - 
      895*T1^9*T2^12 + 616*T1^10*T2^12 - 197*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 461] -> 
  {-((5 - 25*T + 53*T^2 - 67*T^3 + 53*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((-645 + 3205*T1 - 6747*T1^2 + 8511*T1^3 - 6747*T1^4 + 3205*T1^5 - 
      645*T1^6 + 3205*T2 - 13371*T1*T2 + 20802*T1^2*T2 - 15436*T1^3*T2 - 
      436*T1^4*T2 + 11052*T1^5*T2 - 9621*T1^6*T2 + 2580*T1^7*T2 - 6747*T2^2 + 
      20802*T1*T2^2 - 11215*T1^2*T2^2 - 24773*T1^3*T2^2 + 56237*T1^4*T2^2 - 
      47033*T1^5*T2^2 + 14225*T1^6*T2^2 + 7552*T1^7*T2^2 - 4097*T1^8*T2^2 + 
      8511*T2^3 - 15436*T1*T2^3 - 24773*T1^2*T2^3 + 73716*T1^3*T2^3 - 
      72903*T1^4*T2^3 + 7707*T1^5*T2^3 + 42726*T1^6*T2^3 - 38288*T1^7*T2^3 + 
      3064*T1^8*T2^3 + 3486*T1^9*T2^3 - 6747*T2^4 - 436*T1*T2^4 + 
      56237*T1^2*T2^4 - 72903*T1^3*T2^4 + 13029*T1^4*T2^4 + 74279*T1^5*T2^4 - 
      76791*T1^6*T2^4 + 16877*T1^7*T2^4 + 28667*T1^8*T2^4 - 10186*T1^9*T2^4 - 
      1447*T1^10*T2^4 + 3205*T2^5 + 11052*T1*T2^5 - 47033*T1^2*T2^5 + 
      7707*T1^3*T2^5 + 74279*T1^4*T2^5 - 106669*T1^5*T2^5 + 28151*T1^6*T2^5 + 
      50376*T1^7*T2^5 - 54563*T1^8*T2^5 + 1462*T1^9*T2^5 + 6802*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 9621*T1*T2^6 + 14225*T1^2*T2^6 + 
      42726*T1^3*T2^6 - 76791*T1^4*T2^6 + 28151*T1^5*T2^6 + 71196*T1^6*T2^6 - 
      91555*T1^7*T2^6 + 33323*T1^8*T2^6 + 24726*T1^9*T2^6 - 
      12235*T1^10*T2^6 - 871*T1^11*T2^6 + 105*T1^12*T2^6 + 2580*T1*T2^7 + 
      7552*T1^2*T2^7 - 38288*T1^3*T2^7 + 16877*T1^4*T2^7 + 50376*T1^5*T2^7 - 
      91555*T1^6*T2^7 + 43265*T1^7*T2^7 + 26473*T1^8*T2^7 - 45393*T1^9*T2^7 + 
      10207*T1^10*T2^7 + 3302*T1^11*T2^7 - 545*T1^12*T2^7 - 4097*T1^2*T2^8 + 
      3064*T1^3*T2^8 + 28667*T1^4*T2^8 - 54563*T1^5*T2^8 + 33323*T1^6*T2^8 + 
      26473*T1^7*T2^8 - 56497*T1^8*T2^8 + 35217*T1^9*T2^8 + 1097*T1^10*T2^8 - 
      6686*T1^11*T2^8 + 1203*T1^12*T2^8 + 3486*T1^3*T2^9 - 10186*T1^4*T2^9 + 
      1462*T1^5*T2^9 + 24726*T1^6*T2^9 - 45393*T1^7*T2^9 + 35217*T1^8*T2^9 - 
      6264*T1^9*T2^9 - 12053*T1^10*T2^9 + 8314*T1^11*T2^9 - 1539*T1^12*T2^9 - 
      1447*T1^4*T2^10 + 6802*T1^5*T2^10 - 12235*T1^6*T2^10 + 
      10207*T1^7*T2^10 + 1097*T1^8*T2^10 - 12053*T1^9*T2^10 + 
      13205*T1^10*T2^10 - 6448*T1^11*T2^10 + 1203*T1^12*T2^10 + 
      80*T1^5*T2^11 - 871*T1^6*T2^11 + 3302*T1^7*T2^11 - 6686*T1^8*T2^11 + 
      8314*T1^9*T2^11 - 6448*T1^10*T2^11 + 2879*T1^11*T2^11 - 
      545*T1^12*T2^11 + 105*T1^6*T2^12 - 545*T1^7*T2^12 + 1203*T1^8*T2^12 - 
      1539*T1^9*T2^12 + 1203*T1^10*T2^12 - 545*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 462] -> 
  {(1 - 7*T + 19*T^2 - 32*T^3 + 39*T^4 - 32*T^5 + 19*T^6 - 7*T^7 + T^8)/T^4, 
   ((1 - 7*T1 + 19*T1^2 - 32*T1^3 + 39*T1^4 - 32*T1^5 + 19*T1^6 - 7*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 21*T1*T2 + 42*T1^2*T2^2 - 53*T1^3*T2^3 + 
      42*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 7*T2 + 19*T2^2 - 
      32*T2^3 + 39*T2^4 - 32*T2^5 + 19*T2^6 - 7*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 463] -> 
  {(2 - 12*T + 26*T^2 - 31*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-31 + 185*T1 - 400*T1^2 + 477*T1^3 - 400*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 966*T1*T2 + 1569*T1^2*T2 - 1083*T1^3*T2 + 285*T1^4*T2 + 
     657*T1^5*T2 - 630*T1^6*T2 + 137*T1^7*T2 - 400*T2^2 + 1569*T1*T2^2 - 
     506*T1^2*T2^2 - 3176*T1^3*T2^2 + 4890*T1^4*T2^2 - 5152*T1^5*T2^2 + 
     1990*T1^6*T2^2 + 321*T1^7*T2^2 - 192*T1^8*T2^2 + 477*T2^3 - 
     1083*T1*T2^3 - 3176*T1^2*T2^3 + 8758*T1^3*T2^3 - 7092*T1^4*T2^3 + 
     3624*T1^5*T2^3 + 3040*T1^6*T2^3 - 3644*T1^7*T2^3 + 525*T1^8*T2^3 + 
     105*T1^9*T2^3 - 400*T2^4 + 285*T1*T2^4 + 4890*T1^2*T2^4 - 
     7092*T1^3*T2^4 - 1143*T1^4*T2^4 + 6587*T1^5*T2^4 - 10287*T1^6*T2^4 + 
     4316*T1^7*T2^4 + 1370*T1^8*T2^4 - 723*T1^9*T2^4 + 16*T1^10*T2^4 + 
     185*T2^5 + 657*T1*T2^5 - 5152*T1^2*T2^5 + 3624*T1^3*T2^5 + 
     6587*T1^4*T2^5 - 7806*T1^5*T2^5 + 4248*T1^6*T2^5 + 3727*T1^7*T2^5 - 
     5708*T1^8*T2^5 + 1348*T1^9*T2^5 + 225*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 630*T1*T2^6 + 1990*T1^2*T2^6 + 3040*T1^3*T2^6 - 
     10287*T1^4*T2^6 + 4248*T1^5*T2^6 + 4212*T1^6*T2^6 - 7904*T1^7*T2^6 + 
     4929*T1^8*T2^6 + 1048*T1^9*T2^6 - 1594*T1^10*T2^6 + 234*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 321*T1^2*T2^7 - 3644*T1^3*T2^7 + 
     4316*T1^4*T2^7 + 3727*T1^5*T2^7 - 7904*T1^6*T2^7 + 4150*T1^7*T2^7 + 
     867*T1^8*T2^7 - 5016*T1^9*T2^7 + 2856*T1^10*T2^7 - 111*T1^11*T2^7 - 
     103*T1^12*T2^7 - 192*T1^2*T2^8 + 525*T1^3*T2^8 + 1370*T1^4*T2^8 - 
     5708*T1^5*T2^8 + 4929*T1^6*T2^8 + 867*T1^7*T2^8 - 4215*T1^8*T2^8 + 
     5700*T1^9*T2^8 - 2150*T1^10*T2^8 - 483*T1^11*T2^8 + 224*T1^12*T2^8 + 
     105*T1^3*T2^9 - 723*T1^4*T2^9 + 1348*T1^5*T2^9 + 1048*T1^6*T2^9 - 
     5016*T1^7*T2^9 + 5700*T1^8*T2^9 - 4670*T1^9*T2^9 + 880*T1^10*T2^9 + 
     885*T1^11*T2^9 - 267*T1^12*T2^9 + 16*T1^4*T2^10 + 225*T1^5*T2^10 - 
     1594*T1^6*T2^10 + 2856*T1^7*T2^10 - 2150*T1^8*T2^10 + 880*T1^9*T2^10 + 
     902*T1^10*T2^10 - 1023*T1^11*T2^10 + 224*T1^12*T2^10 - 55*T1^5*T2^11 + 
     234*T1^6*T2^11 - 111*T1^7*T2^11 - 483*T1^8*T2^11 + 885*T1^9*T2^11 - 
     1023*T1^10*T2^11 + 570*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 224*T1^8*T2^12 - 267*T1^9*T2^12 + 224*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 464] -> 
  {((1 - 3*T + 6*T^2 - 4*T^3 + T^4)*(1 - 4*T + 6*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 196*T1^3 - 252*T1^4 + 196*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 868*T1^3*T2 + 
     735*T1^4*T2 - 49*T1^5*T2 - 357*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1322*T1^2*T2^2 + 1511*T1^3*T2^2 + 
     5*T1^4*T2^2 - 2204*T1^5*T2^2 + 1877*T1^6*T2^2 - 505*T1^7*T2^2 - 
     218*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 196*T2^3 - 868*T1*T2^3 + 
     1511*T1^2*T2^3 + 175*T1^3*T2^3 - 4611*T1^4*T2^3 + 6833*T1^5*T2^3 - 
     1252*T1^6*T2^3 - 2637*T1^7*T2^3 + 2317*T1^8*T2^3 - 673*T1^9*T2^3 - 
     7*T1^10*T2^3 + 49*T1^11*T2^3 - 252*T2^4 + 735*T1*T2^4 + 5*T1^2*T2^4 - 
     4611*T1^3*T2^4 + 9366*T1^4*T2^4 - 4379*T1^5*T2^4 - 11068*T1^6*T2^4 + 
     11791*T1^7*T2^4 - 3822*T1^8*T2^4 - 1181*T1^9*T2^4 + 1251*T1^10*T2^4 - 
     343*T1^11*T2^4 + 196*T2^5 - 49*T1*T2^5 - 2204*T1^2*T2^5 + 
     6833*T1^3*T2^5 - 4379*T1^4*T2^5 - 13246*T1^5*T2^5 + 30391*T1^6*T2^5 - 
     12337*T1^7*T2^5 - 7758*T1^8*T2^5 + 9880*T1^9*T2^5 - 3506*T1^10*T2^5 + 
     T1^11*T2^5 + 343*T1^12*T2^5 - 49*T1^13*T2^5 - 96*T2^6 - 357*T1*T2^6 + 
     1877*T1^2*T2^6 - 1252*T1^3*T2^6 - 11068*T1^4*T2^6 + 30391*T1^5*T2^6 - 
     26320*T1^6*T2^6 - 18608*T1^7*T2^6 + 37304*T1^8*T2^6 - 18609*T1^9*T2^6 + 
     328*T1^10*T2^6 + 3452*T1^11*T2^6 - 1247*T1^12*T2^6 + 7*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 505*T1^2*T2^7 - 2637*T1^3*T2^7 + 
     11791*T1^4*T2^7 - 12337*T1^5*T2^7 - 18608*T1^6*T2^7 + 63482*T1^7*T2^7 - 
     50366*T1^8*T2^7 + 607*T1^9*T2^7 + 17847*T1^10*T2^7 - 10112*T1^11*T2^7 + 
     1213*T1^12*T2^7 + 671*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 218*T1^2*T2^8 + 2317*T1^3*T2^8 - 3822*T1^4*T2^8 - 
     7758*T1^5*T2^8 + 37304*T1^6*T2^8 - 50366*T1^7*T2^8 + 5520*T1^8*T2^8 + 
     46850*T1^9*T2^8 - 35746*T1^10*T2^8 + 7922*T1^11*T2^8 + 3958*T1^12*T2^8 - 
     2345*T1^13*T2^8 + 220*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 673*T1^3*T2^9 - 1181*T1^4*T2^9 + 
     9880*T1^5*T2^9 - 18609*T1^6*T2^9 + 607*T1^7*T2^9 + 46850*T1^8*T2^9 - 
     66998*T1^9*T2^9 + 19822*T1^10*T2^9 + 11575*T1^11*T2^9 - 
     12023*T1^12*T2^9 + 2669*T1^13*T2^9 + 503*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 - 7*T1^3*T2^10 + 1251*T1^4*T2^10 - 
     3506*T1^5*T2^10 + 328*T1^6*T2^10 + 17847*T1^7*T2^10 - 35746*T1^8*T2^10 + 
     19822*T1^9*T2^10 + 27878*T1^10*T2^10 - 31153*T1^11*T2^10 + 
     11724*T1^12*T2^10 + 1198*T1^13*T2^10 - 1873*T1^14*T2^10 + 
     357*T1^15*T2^10 + 96*T1^16*T2^10 + 49*T1^3*T2^11 - 343*T1^4*T2^11 + 
     T1^5*T2^11 + 3452*T1^6*T2^11 - 10112*T1^7*T2^11 + 7922*T1^8*T2^11 + 
     11575*T1^9*T2^11 - 31153*T1^10*T2^11 + 13410*T1^11*T2^11 + 
     4147*T1^12*T2^11 - 6887*T1^13*T2^11 + 2206*T1^14*T2^11 + 
     49*T1^15*T2^11 - 196*T1^16*T2^11 + 343*T1^5*T2^12 - 1247*T1^6*T2^12 + 
     1213*T1^7*T2^12 + 3958*T1^8*T2^12 - 12023*T1^9*T2^12 + 
     11724*T1^10*T2^12 + 4147*T1^11*T2^12 - 9230*T1^12*T2^12 + 
     4643*T1^13*T2^12 - T1^14*T2^12 - 735*T1^15*T2^12 + 252*T1^16*T2^12 - 
     49*T1^5*T2^13 + 7*T1^6*T2^13 + 671*T1^7*T2^13 - 2345*T1^8*T2^13 + 
     2669*T1^9*T2^13 + 1198*T1^10*T2^13 - 6887*T1^11*T2^13 + 
     4643*T1^12*T2^13 - 203*T1^13*T2^13 - 1513*T1^14*T2^13 + 
     868*T1^15*T2^13 - 196*T1^16*T2^13 + 48*T1^6*T2^14 - 189*T1^7*T2^14 + 
     220*T1^8*T2^14 + 503*T1^9*T2^14 - 1873*T1^10*T2^14 + 2206*T1^11*T2^14 - 
     T1^12*T2^14 - 1513*T1^13*T2^14 + 1324*T1^14*T2^14 - 525*T1^15*T2^14 + 
     96*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 
     357*T1^10*T2^15 + 49*T1^11*T2^15 - 735*T1^12*T2^15 + 868*T1^13*T2^15 - 
     525*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 96*T1^10*T2^16 - 196*T1^11*T2^16 + 252*T1^12*T2^16 - 
     196*T1^13*T2^16 + 96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 465] -> 
  {(1 - 8*T + 26*T^2 - 52*T^3 + 67*T^4 - 52*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (4*(1 - 8*T1 + 26*T1^2 - 52*T1^3 + 67*T1^4 - 52*T1^5 + 26*T1^6 - 8*T1^7 + 
      T1^8)*(1 + T1*T2)*(1 - 6*T1*T2 + 14*T1^2*T2^2 - 19*T1^3*T2^3 + 
      14*T1^4*T2^4 - 6*T1^5*T2^5 + T1^6*T2^6)*(1 - 8*T2 + 26*T2^2 - 52*T2^3 + 
      67*T2^4 - 52*T2^5 + 26*T2^6 - 8*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 466] -> 
  {(1 - 8*T + 26*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   (2*(-1 + 8*T1 - 26*T1^2 + 44*T1^3 - 51*T1^4 + 44*T1^5 - 26*T1^6 + 8*T1^7 - 
      T1^8 + 8*T2 - 60*T1*T2 + 176*T1^2*T2 - 248*T1^3*T2 + 232*T1^4*T2 - 
      148*T1^5*T2 + 32*T1^6*T2 + 40*T1^7*T2 - 24*T1^8*T2 + 4*T1^9*T2 - 
      26*T2^2 + 176*T1*T2^2 - 421*T1^2*T2^2 + 317*T1^3*T2^2 + 68*T1^4*T2^2 - 
      469*T1^5*T2^2 + 718*T1^6*T2^2 - 619*T1^7*T2^2 + 229*T1^8*T2^2 - 
      32*T1^9*T2^2 + 44*T2^3 - 248*T1*T2^3 + 317*T1^2*T2^3 + 734*T1^3*T2^3 - 
      2119*T1^4*T2^3 + 2775*T1^5*T2^3 - 2485*T1^6*T2^3 + 1267*T1^7*T2^3 + 
      168*T1^8*T2^3 - 463*T1^9*T2^3 + 176*T1^10*T2^3 - 22*T1^11*T2^3 - 
      51*T2^4 + 232*T1*T2^4 + 68*T1^2*T2^4 - 2119*T1^3*T2^4 + 
      3661*T1^4*T2^4 - 2586*T1^5*T2^4 + 127*T1^6*T2^4 + 2542*T1^7*T2^4 - 
      3911*T1^8*T2^4 + 2193*T1^9*T2^4 - 96*T1^10*T2^4 - 232*T1^11*T2^4 + 
      51*T1^12*T2^4 + 44*T2^5 - 148*T1*T2^5 - 469*T1^2*T2^5 + 
      2775*T1^3*T2^5 - 2586*T1^4*T2^5 - 2534*T1^5*T2^5 + 6829*T1^6*T2^5 - 
      8411*T1^7*T2^5 + 6348*T1^8*T2^5 - 104*T1^9*T2^5 - 3149*T1^10*T2^5 + 
      995*T1^11*T2^5 + 120*T1^12*T2^5 - 66*T1^13*T2^5 - 26*T2^6 + 
      32*T1*T2^6 + 718*T1^2*T2^6 - 2485*T1^3*T2^6 + 127*T1^4*T2^6 + 
      6829*T1^5*T2^6 - 7014*T1^6*T2^6 + 3192*T1^7*T2^6 + 2742*T1^8*T2^6 - 
      9139*T1^9*T2^6 + 6279*T1^10*T2^6 + 1779*T1^11*T2^6 - 1560*T1^12*T2^6 + 
      112*T1^13*T2^6 + 52*T1^14*T2^6 + 8*T2^7 + 40*T1*T2^7 - 619*T1^2*T2^7 + 
      1267*T1^3*T2^7 + 2542*T1^4*T2^7 - 8411*T1^5*T2^7 + 3192*T1^6*T2^7 + 
      870*T1^7*T2^7 - 3028*T1^8*T2^7 + 3160*T1^9*T2^7 + 5373*T1^10*T2^7 - 
      10524*T1^11*T2^7 + 1585*T1^12*T2^7 + 1097*T1^13*T2^7 - 256*T1^14*T2^7 - 
      20*T1^15*T2^7 - T2^8 - 24*T1*T2^8 + 229*T1^2*T2^8 + 168*T1^3*T2^8 - 
      3911*T1^4*T2^8 + 6348*T1^5*T2^8 + 2742*T1^6*T2^8 - 3028*T1^7*T2^8 + 
      912*T1^8*T2^8 + 1468*T1^9*T2^8 - 7698*T1^10*T2^8 + 4876*T1^11*T2^8 + 
      7509*T1^12*T2^8 - 3896*T1^13*T2^8 + 149*T1^14*T2^8 + 136*T1^15*T2^8 + 
      3*T1^16*T2^8 + 4*T1*T2^9 - 32*T1^2*T2^9 - 463*T1^3*T2^9 + 
      2193*T1^4*T2^9 - 104*T1^5*T2^9 - 9139*T1^6*T2^9 + 3160*T1^7*T2^9 + 
      1468*T1^8*T2^9 - 2430*T1^9*T2^9 + 3128*T1^10*T2^9 + 4645*T1^11*T2^9 - 
      13170*T1^12*T2^9 + 2511*T1^13*T2^9 + 1253*T1^14*T2^9 - 328*T1^15*T2^9 - 
      24*T1^16*T2^9 + 176*T1^3*T2^10 - 96*T1^4*T2^10 - 3149*T1^5*T2^10 + 
      6279*T1^6*T2^10 + 5373*T1^7*T2^10 - 7698*T1^8*T2^10 + 3128*T1^9*T2^10 + 
      2058*T1^10*T2^10 - 10595*T1^11*T2^10 + 12431*T1^12*T2^10 + 
      1115*T1^13*T2^10 - 2374*T1^14*T2^10 + 256*T1^15*T2^10 + 
      78*T1^16*T2^10 - 22*T1^3*T2^11 - 232*T1^4*T2^11 + 995*T1^5*T2^11 + 
      1779*T1^6*T2^11 - 10524*T1^7*T2^11 + 4876*T1^8*T2^11 + 
      4645*T1^9*T2^11 - 10595*T1^10*T2^11 + 13758*T1^11*T2^11 - 
      8042*T1^12*T2^11 - 4145*T1^13*T2^11 + 2459*T1^14*T2^11 + 
      36*T1^15*T2^11 - 132*T1^16*T2^11 + 51*T1^4*T2^12 + 120*T1^5*T2^12 - 
      1560*T1^6*T2^12 + 1585*T1^7*T2^12 + 7509*T1^8*T2^12 - 
      13170*T1^9*T2^12 + 12431*T1^10*T2^12 - 8042*T1^11*T2^12 - 
      63*T1^12*T2^12 + 5897*T1^13*T2^12 - 1724*T1^14*T2^12 - 
      344*T1^15*T2^12 + 153*T1^16*T2^12 - 66*T1^5*T2^13 + 112*T1^6*T2^13 + 
      1097*T1^7*T2^13 - 3896*T1^8*T2^13 + 2511*T1^9*T2^13 + 
      1115*T1^10*T2^13 - 4145*T1^11*T2^13 + 5897*T1^12*T2^13 - 
      4462*T1^13*T2^13 + 317*T1^14*T2^13 + 536*T1^15*T2^13 - 
      132*T1^16*T2^13 + 52*T1^6*T2^14 - 256*T1^7*T2^14 + 149*T1^8*T2^14 + 
      1253*T1^9*T2^14 - 2374*T1^10*T2^14 + 2459*T1^11*T2^14 - 
      1724*T1^12*T2^14 + 317*T1^13*T2^14 + 799*T1^14*T2^14 - 
      464*T1^15*T2^14 + 78*T1^16*T2^14 - 20*T1^7*T2^15 + 136*T1^8*T2^15 - 
      328*T1^9*T2^15 + 256*T1^10*T2^15 + 36*T1^11*T2^15 - 344*T1^12*T2^15 + 
      536*T1^13*T2^15 - 464*T1^14*T2^15 + 172*T1^15*T2^15 - 24*T1^16*T2^15 + 
      3*T1^8*T2^16 - 24*T1^9*T2^16 + 78*T1^10*T2^16 - 132*T1^11*T2^16 + 
      153*T1^12*T2^16 - 132*T1^13*T2^16 + 78*T1^14*T2^16 - 24*T1^15*T2^16 + 
      3*T1^16*T2^16))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 467] -> 
  {-((1 - 8*T + 29*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 87*T1^2 + 180*T1^3 - 225*T1^4 + 180*T1^5 - 
      87*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 568*T1^2*T2 - 
      976*T1^3*T2 + 840*T1^4*T2 - 240*T1^5*T2 - 264*T1^6*T2 + 272*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 87*T2^2 + 568*T1*T2^2 - 1529*T1^2*T2^2 + 
      1754*T1^3*T2^2 + 262*T1^4*T2^2 - 2565*T1^5*T2^2 + 2930*T1^6*T2^2 - 
      1262*T1^7*T2^2 + 95*T1^8*T2^2 + 104*T1^9*T2^2 - 29*T1^10*T2^2 + 
      180*T2^3 - 976*T1*T2^3 + 1754*T1^2*T2^3 + 690*T1^3*T2^3 - 
      7347*T1^4*T2^3 + 9924*T1^5*T2^3 - 5376*T1^6*T2^3 - 1639*T1^7*T2^3 + 
      3086*T1^8*T2^3 - 1378*T1^9*T2^3 + 232*T1^10*T2^3 - 225*T2^4 + 
      840*T1*T2^4 + 262*T1^2*T2^4 - 7347*T1^3*T2^4 + 16188*T1^4*T2^4 - 
      9407*T1^5*T2^4 - 8354*T1^6*T2^4 + 19153*T1^7*T2^4 - 11532*T1^8*T2^4 + 
      1533*T1^9*T2^4 + 1282*T1^10*T2^4 - 600*T1^11*T2^4 + 75*T1^12*T2^4 + 
      180*T2^5 - 240*T1*T2^5 - 2565*T1^2*T2^5 + 9924*T1^3*T2^5 - 
      9407*T1^4*T2^5 - 18018*T1^5*T2^5 + 45670*T1^6*T2^5 - 40130*T1^7*T2^5 + 
      5742*T1^8*T2^5 + 13513*T1^9*T2^5 - 8616*T1^10*T2^5 + 1395*T1^11*T2^5 + 
      360*T1^12*T2^5 - 120*T1^13*T2^5 - 87*T2^6 - 264*T1*T2^6 + 
      2930*T1^2*T2^6 - 5376*T1^3*T2^6 - 8354*T1^4*T2^6 + 45670*T1^5*T2^6 - 
      55242*T1^6*T2^6 + 6192*T1^7*T2^6 + 49890*T1^8*T2^6 - 48890*T1^9*T2^6 + 
      11296*T1^10*T2^6 + 5064*T1^11*T2^6 - 3034*T1^12*T2^6 + 264*T1^13*T2^6 + 
      87*T1^14*T2^6 + 24*T2^7 + 272*T1*T2^7 - 1262*T1^2*T2^7 - 
      1639*T1^3*T2^7 + 19153*T1^4*T2^7 - 40130*T1^5*T2^7 + 6192*T1^6*T2^7 + 
      79092*T1^7*T2^7 - 106244*T1^8*T2^7 + 42568*T1^9*T2^7 + 
      28150*T1^10*T2^7 - 26327*T1^11*T2^7 + 5341*T1^12*T2^7 + 
      1174*T1^13*T2^7 - 440*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 95*T1^2*T2^8 + 3086*T1^3*T2^8 - 11532*T1^4*T2^8 + 
      5742*T1^5*T2^8 + 49890*T1^6*T2^8 - 106244*T1^7*T2^8 + 48252*T1^8*T2^8 + 
      60716*T1^9*T2^8 - 98382*T1^10*T2^8 + 33822*T1^11*T2^8 + 
      5984*T1^12*T2^8 - 5970*T1^13*T2^8 + 619*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 104*T1^2*T2^9 - 1378*T1^3*T2^9 + 
      1533*T1^4*T2^9 + 13513*T1^5*T2^9 - 48890*T1^6*T2^9 + 42568*T1^7*T2^9 + 
      60716*T1^8*T2^9 - 124620*T1^9*T2^9 + 78944*T1^10*T2^9 + 
      19390*T1^11*T2^9 - 31967*T1^12*T2^9 + 8513*T1^13*T2^9 + 
      1058*T1^14*T2^9 - 608*T1^15*T2^9 - 40*T1^16*T2^9 - 29*T1^2*T2^10 + 
      232*T1^3*T2^10 + 1282*T1^4*T2^10 - 8616*T1^5*T2^10 + 11296*T1^6*T2^10 + 
      28150*T1^7*T2^10 - 98382*T1^8*T2^10 + 78944*T1^9*T2^10 + 
      6750*T1^10*T2^10 - 66410*T1^11*T2^10 + 30946*T1^12*T2^10 + 
      1824*T1^13*T2^10 - 4682*T1^14*T2^10 + 760*T1^15*T2^10 + 
      145*T1^16*T2^10 - 600*T1^4*T2^11 + 1395*T1^5*T2^11 + 5064*T1^6*T2^11 - 
      26327*T1^7*T2^11 + 33822*T1^8*T2^11 + 19390*T1^9*T2^11 - 
      66410*T1^10*T2^11 + 57582*T1^11*T2^11 - 3407*T1^12*T2^11 - 
      13476*T1^13*T2^11 + 5355*T1^14*T2^11 - 300*T1^16*T2^11 + 
      75*T1^4*T2^12 + 360*T1^5*T2^12 - 3034*T1^6*T2^12 + 5341*T1^7*T2^12 + 
      5984*T1^8*T2^12 - 31967*T1^9*T2^12 + 30946*T1^10*T2^12 - 
      3407*T1^11*T2^12 - 21736*T1^12*T2^12 + 14221*T1^13*T2^12 - 
      2014*T1^14*T2^12 - 1080*T1^15*T2^12 + 375*T1^16*T2^12 - 
      120*T1^5*T2^13 + 264*T1^6*T2^13 + 1174*T1^7*T2^13 - 5970*T1^8*T2^13 + 
      8513*T1^9*T2^13 + 1824*T1^10*T2^13 - 13476*T1^11*T2^13 + 
      14221*T1^12*T2^13 - 3574*T1^13*T2^13 - 1958*T1^14*T2^13 + 
      1472*T1^15*T2^13 - 300*T1^16*T2^13 + 87*T1^6*T2^14 - 440*T1^7*T2^14 + 
      619*T1^8*T2^14 + 1058*T1^9*T2^14 - 4682*T1^10*T2^14 + 
      5355*T1^11*T2^14 - 2014*T1^12*T2^14 - 1958*T1^13*T2^14 + 
      2243*T1^14*T2^14 - 904*T1^15*T2^14 + 145*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 608*T1^9*T2^15 + 760*T1^10*T2^15 - 1080*T1^12*T2^15 + 
      1472*T1^13*T2^15 - 904*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 145*T1^10*T2^16 - 300*T1^11*T2^16 + 
      375*T1^12*T2^16 - 300*T1^13*T2^16 + 145*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 468] -> 
  {-((1 - 8*T + 23*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 23*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 69*T1^2 + 120*T1^3 - 141*T1^4 + 120*T1^5 - 
      69*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 425*T1^2*T2 - 
      595*T1^3*T2 + 490*T1^4*T2 - 206*T1^5*T2 - 91*T1^6*T2 + 177*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 69*T2^2 + 425*T1*T2^2 - 591*T1^2*T2^2 + 
      5*T1^3*T2^2 + 1366*T1^4*T2^2 - 2371*T1^5*T2^2 + 2470*T1^6*T2^2 - 
      1467*T1^7*T2^2 + 421*T1^8*T2^2 + 57*T1^9*T2^2 - 23*T1^10*T2^2 + 
      120*T2^3 - 595*T1*T2^3 + 5*T1^2*T2^3 + 2176*T1^3*T2^3 - 
      4853*T1^4*T2^3 + 5137*T1^5*T2^3 - 3311*T1^6*T2^3 + 139*T1^7*T2^3 + 
      1392*T1^8*T2^3 - 1099*T1^9*T2^3 + 181*T1^10*T2^3 - 141*T2^4 + 
      490*T1*T2^4 + 1366*T1^2*T2^4 - 4853*T1^3*T2^4 + 7101*T1^4*T2^4 - 
      4302*T1^5*T2^4 - 451*T1^6*T2^4 + 5042*T1^7*T2^4 - 4731*T1^8*T2^4 + 
      1707*T1^9*T2^4 + 570*T1^10*T2^4 - 374*T1^11*T2^4 + 47*T1^12*T2^4 + 
      120*T2^5 - 206*T1*T2^5 - 2371*T1^2*T2^5 + 5137*T1^3*T2^5 - 
      4302*T1^4*T2^5 - 2130*T1^5*T2^5 + 7032*T1^6*T2^5 - 8144*T1^7*T2^5 + 
      1990*T1^8*T2^5 + 4026*T1^9*T2^5 - 4527*T1^10*T2^5 + 1133*T1^11*T2^5 + 
      266*T1^12*T2^5 - 80*T1^13*T2^5 - 69*T2^6 - 91*T1*T2^6 + 
      2470*T1^2*T2^6 - 3311*T1^3*T2^6 - 451*T1^4*T2^6 + 7032*T1^5*T2^6 - 
      7606*T1^6*T2^6 + 2672*T1^7*T2^6 + 6358*T1^8*T2^6 - 8792*T1^9*T2^6 + 
      2399*T1^10*T2^6 + 3313*T1^11*T2^6 - 2434*T1^12*T2^6 + 85*T1^13*T2^6 + 
      69*T1^14*T2^6 + 24*T2^7 + 177*T1*T2^7 - 1467*T1^2*T2^7 + 
      139*T1^3*T2^7 + 5042*T1^4*T2^7 - 8144*T1^5*T2^7 + 2672*T1^6*T2^7 + 
      6272*T1^7*T2^7 - 11424*T1^8*T2^7 + 5744*T1^9*T2^7 + 5736*T1^10*T2^7 - 
      7350*T1^11*T2^7 + 1419*T1^12*T2^7 + 1845*T1^13*T2^7 - 295*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 421*T1^2*T2^8 + 1392*T1^3*T2^8 - 
      4731*T1^4*T2^8 + 1990*T1^5*T2^8 + 6358*T1^6*T2^8 - 11424*T1^7*T2^8 + 
      5532*T1^8*T2^8 + 6048*T1^9*T2^8 - 13882*T1^10*T2^8 + 5478*T1^11*T2^8 + 
      3353*T1^12*T2^8 - 3824*T1^13*T2^8 - 351*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 57*T1^2*T2^9 - 1099*T1^3*T2^9 + 
      1707*T1^4*T2^9 + 4026*T1^5*T2^9 - 8792*T1^6*T2^9 + 5744*T1^7*T2^9 + 
      6048*T1^8*T2^9 - 11648*T1^9*T2^9 + 8816*T1^10*T2^9 + 5088*T1^11*T2^9 - 
      8366*T1^12*T2^9 + 2987*T1^13*T2^9 + 2213*T1^14*T2^9 - 415*T1^15*T2^9 - 
      40*T1^16*T2^9 - 23*T1^2*T2^10 + 181*T1^3*T2^10 + 570*T1^4*T2^10 - 
      4527*T1^5*T2^10 + 2399*T1^6*T2^10 + 5736*T1^7*T2^10 - 
      13882*T1^8*T2^10 + 8816*T1^9*T2^10 + 82*T1^10*T2^10 - 
      10088*T1^11*T2^10 + 5249*T1^12*T2^10 + 2097*T1^13*T2^10 - 
      4334*T1^14*T2^10 + 357*T1^15*T2^10 + 115*T1^16*T2^10 - 374*T1^4*T2^11 + 
      1133*T1^5*T2^11 + 3313*T1^6*T2^11 - 7350*T1^7*T2^11 + 5478*T1^8*T2^11 + 
      5088*T1^9*T2^11 - 10088*T1^10*T2^11 + 9598*T1^11*T2^11 + 
      978*T1^12*T2^11 - 6351*T1^13*T2^11 + 4637*T1^14*T2^11 + 
      98*T1^15*T2^11 - 200*T1^16*T2^11 + 47*T1^4*T2^12 + 266*T1^5*T2^12 - 
      2434*T1^6*T2^12 + 1419*T1^7*T2^12 + 3353*T1^8*T2^12 - 8366*T1^9*T2^12 + 
      5249*T1^10*T2^12 + 978*T1^11*T2^12 - 8479*T1^12*T2^12 + 
      7979*T1^13*T2^12 - 3230*T1^14*T2^12 - 598*T1^15*T2^12 + 
      235*T1^16*T2^12 - 80*T1^5*T2^13 + 85*T1^6*T2^13 + 1845*T1^7*T2^13 - 
      3824*T1^8*T2^13 + 2987*T1^9*T2^13 + 2097*T1^10*T2^13 - 
      6351*T1^11*T2^13 + 7979*T1^12*T2^13 - 4608*T1^13*T2^13 + 
      741*T1^14*T2^13 + 861*T1^15*T2^13 - 200*T1^16*T2^13 + 69*T1^6*T2^14 - 
      295*T1^7*T2^14 - 351*T1^8*T2^14 + 2213*T1^9*T2^14 - 4334*T1^10*T2^14 + 
      4637*T1^11*T2^14 - 3230*T1^12*T2^14 + 741*T1^13*T2^14 + 
      661*T1^14*T2^14 - 663*T1^15*T2^14 + 115*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 415*T1^9*T2^15 + 357*T1^10*T2^15 + 98*T1^11*T2^15 - 
      598*T1^12*T2^15 + 861*T1^13*T2^15 - 663*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 115*T1^10*T2^16 - 
      200*T1^11*T2^16 + 235*T1^12*T2^16 - 200*T1^13*T2^16 + 115*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 469] -> 
  {(1 - 7*T + 24*T^2 - 47*T^3 + 59*T^4 - 47*T^5 + 24*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 188*T1^3 - 236*T1^4 + 188*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 812*T1^3*T2 + 
     665*T1^4*T2 - 77*T1^5*T2 - 315*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1324*T1^2*T2^2 + 1319*T1^3*T2^2 + 
     95*T1^4*T2^2 - 1910*T1^5*T2^2 + 1775*T1^6*T2^2 - 601*T1^7*T2^2 - 
     220*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 188*T2^3 - 812*T1*T2^3 + 
     1319*T1^2*T2^3 + 987*T1^3*T2^3 - 4900*T1^4*T2^3 + 6270*T1^5*T2^3 - 
     1527*T1^6*T2^3 - 2278*T1^7*T2^3 + 2547*T1^8*T2^3 - 721*T1^9*T2^3 + 
     7*T1^10*T2^3 + 47*T1^11*T2^3 - 236*T2^4 + 665*T1*T2^4 + 95*T1^2*T2^4 - 
     4900*T1^3*T2^4 + 6994*T1^4*T2^4 - 604*T1^5*T2^4 - 12296*T1^6*T2^4 + 
     12986*T1^7*T2^4 - 5638*T1^8*T2^4 - 858*T1^9*T2^4 + 1153*T1^10*T2^4 - 
     329*T1^11*T2^4 + 188*T2^5 - 77*T1*T2^5 - 1910*T1^2*T2^5 + 
     6270*T1^3*T2^5 - 604*T1^4*T2^5 - 14984*T1^5*T2^5 + 27044*T1^6*T2^5 - 
     11840*T1^7*T2^5 - 5390*T1^8*T2^5 + 10035*T1^9*T2^5 - 3397*T1^10*T2^5 - 
     5*T1^11*T2^5 + 329*T1^12*T2^5 - 47*T1^13*T2^5 - 96*T2^6 - 315*T1*T2^6 + 
     1775*T1^2*T2^6 - 1527*T1^3*T2^6 - 12296*T1^4*T2^6 + 27044*T1^5*T2^6 - 
     22381*T1^6*T2^6 - 12411*T1^7*T2^6 + 27411*T1^8*T2^6 - 16676*T1^9*T2^6 - 
     516*T1^10*T2^6 + 3465*T1^11*T2^6 - 1149*T1^12*T2^6 - 7*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 601*T1^2*T2^7 - 2278*T1^3*T2^7 + 
     12986*T1^4*T2^7 - 11840*T1^5*T2^7 - 12411*T1^6*T2^7 + 45368*T1^7*T2^7 - 
     33954*T1^8*T2^7 + 272*T1^9*T2^7 + 17372*T1^10*T2^7 - 9457*T1^11*T2^7 + 
     780*T1^12*T2^7 + 719*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 220*T1^2*T2^8 + 2547*T1^3*T2^8 - 5638*T1^4*T2^8 - 
     5390*T1^5*T2^8 + 27411*T1^6*T2^8 - 33954*T1^7*T2^8 - 2208*T1^8*T2^8 + 
     35222*T1^9*T2^8 - 29303*T1^10*T2^8 + 4906*T1^11*T2^8 + 5386*T1^12*T2^8 - 
     2483*T1^13*T2^8 + 218*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 721*T1^3*T2^9 - 858*T1^4*T2^9 + 
     10035*T1^5*T2^9 - 16676*T1^6*T2^9 + 272*T1^7*T2^9 + 35222*T1^8*T2^9 - 
     44100*T1^9*T2^9 + 12955*T1^10*T2^9 + 12536*T1^11*T2^9 - 
     12408*T1^12*T2^9 + 2200*T1^13*T2^9 + 599*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 + 7*T1^3*T2^10 + 1153*T1^4*T2^10 - 
     3397*T1^5*T2^10 - 516*T1^6*T2^10 + 17372*T1^7*T2^10 - 29303*T1^8*T2^10 + 
     12955*T1^9*T2^10 + 20489*T1^10*T2^10 - 26348*T1^11*T2^10 + 
     11264*T1^12*T2^10 + 1595*T1^13*T2^10 - 1771*T1^14*T2^10 + 
     315*T1^15*T2^10 + 96*T1^16*T2^10 + 47*T1^3*T2^11 - 329*T1^4*T2^11 - 
     5*T1^5*T2^11 + 3465*T1^6*T2^11 - 9457*T1^7*T2^11 + 4906*T1^8*T2^11 + 
     12536*T1^9*T2^11 - 26348*T1^10*T2^11 + 14500*T1^11*T2^11 + 
     1182*T1^12*T2^11 - 6202*T1^13*T2^11 + 1900*T1^14*T2^11 + 
     77*T1^15*T2^11 - 188*T1^16*T2^11 + 329*T1^5*T2^12 - 1149*T1^6*T2^12 + 
     780*T1^7*T2^12 + 5386*T1^8*T2^12 - 12408*T1^9*T2^12 + 
     11264*T1^10*T2^12 + 1182*T1^11*T2^12 - 7246*T1^12*T2^12 + 
     4822*T1^13*T2^12 - 91*T1^14*T2^12 - 665*T1^15*T2^12 + 236*T1^16*T2^12 - 
     47*T1^5*T2^13 - 7*T1^6*T2^13 + 719*T1^7*T2^13 - 2483*T1^8*T2^13 + 
     2200*T1^9*T2^13 + 1595*T1^10*T2^13 - 6202*T1^11*T2^13 + 
     4822*T1^12*T2^13 - 923*T1^13*T2^13 - 1321*T1^14*T2^13 + 
     812*T1^15*T2^13 - 188*T1^16*T2^13 + 48*T1^6*T2^14 - 189*T1^7*T2^14 + 
     218*T1^8*T2^14 + 599*T1^9*T2^14 - 1771*T1^10*T2^14 + 1900*T1^11*T2^14 - 
     91*T1^12*T2^14 - 1321*T1^13*T2^14 + 1322*T1^14*T2^14 - 525*T1^15*T2^14 + 
     96*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 
     315*T1^10*T2^15 + 77*T1^11*T2^15 - 665*T1^12*T2^15 + 812*T1^13*T2^15 - 
     525*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 96*T1^10*T2^16 - 188*T1^11*T2^16 + 236*T1^12*T2^16 - 
     188*T1^13*T2^16 + 96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 470] -> 
  {-(((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 40*T1 - 135*T1^2 + 270*T1^3 - 335*T1^4 + 270*T1^5 - 135*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 1296*T1^3*T2 + 
      952*T1^4*T2 - 16*T1^5*T2 - 648*T1^6*T2 + 544*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1679*T1^2*T2^2 + 1031*T1^3*T2^2 + 
      2579*T1^4*T2^2 - 5471*T1^5*T2^2 + 4739*T1^6*T2^2 - 1453*T1^7*T2^2 - 
      275*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 270*T2^3 - 
      1296*T1*T2^3 + 1031*T1^2*T2^3 + 3648*T1^3*T2^3 - 11890*T1^4*T2^3 + 
      11211*T1^5*T2^3 - 1803*T1^6*T2^3 - 6544*T1^7*T2^3 + 4998*T1^8*T2^3 - 
      1399*T1^9*T2^3 - 216*T1^10*T2^3 + 108*T1^11*T2^3 - 335*T2^4 + 
      952*T1*T2^4 + 2579*T1^2*T2^4 - 11890*T1^3*T2^4 + 18643*T1^4*T2^4 - 
      2489*T1^5*T2^4 - 17251*T1^6*T2^4 + 19743*T1^7*T2^4 - 3413*T1^8*T2^4 - 
      3898*T1^9*T2^4 + 2903*T1^10*T2^4 - 328*T1^11*T2^4 - 67*T1^12*T2^4 + 
      270*T2^5 - 16*T1*T2^5 - 5471*T1^2*T2^5 + 11211*T1^3*T2^5 - 
      2489*T1^4*T2^5 - 32400*T1^5*T2^5 + 41455*T1^6*T2^5 - 14165*T1^7*T2^5 - 
      20052*T1^8*T2^5 + 16831*T1^9*T2^5 - 4503*T1^10*T2^5 - 1355*T1^11*T2^5 + 
      536*T1^12*T2^5 - 135*T2^6 - 648*T1*T2^6 + 4739*T1^2*T2^6 - 
      1803*T1^3*T2^6 - 17251*T1^4*T2^6 + 41455*T1^5*T2^6 - 8233*T1^6*T2^6 - 
      45199*T1^7*T2^6 + 61211*T1^8*T2^6 - 19673*T1^9*T2^6 - 5641*T1^10*T2^6 + 
      7161*T1^11*T2^6 - 1093*T1^12*T2^6 - 216*T1^13*T2^6 + 27*T1^14*T2^6 + 
      40*T2^7 + 544*T1*T2^7 - 1453*T1^2*T2^7 - 6544*T1^3*T2^7 + 
      19743*T1^4*T2^7 - 14165*T1^5*T2^7 - 45199*T1^6*T2^7 + 77722*T1^7*T2^7 - 
      43058*T1^8*T2^7 - 22303*T1^9*T2^7 + 30439*T1^10*T2^7 - 
      11225*T1^11*T2^7 - 1306*T1^12*T2^7 + 1301*T1^13*T2^7 - 88*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 275*T1^2*T2^8 + 4998*T1^3*T2^8 - 
      3413*T1^4*T2^8 - 20052*T1^5*T2^8 + 61211*T1^6*T2^8 - 43058*T1^7*T2^8 - 
      23760*T1^8*T2^8 + 66006*T1^9*T2^8 - 35125*T1^10*T2^8 - 588*T1^11*T2^8 + 
      8463*T1^12*T2^8 - 2562*T1^13*T2^8 - 215*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 1399*T1^3*T2^9 - 
      3898*T1^4*T2^9 + 16831*T1^5*T2^9 - 19673*T1^6*T2^9 - 22303*T1^7*T2^9 + 
      66006*T1^8*T2^9 - 54774*T1^9*T2^9 + 593*T1^10*T2^9 + 24931*T1^11*T2^9 - 
      14137*T1^12*T2^9 + 1340*T1^13*T2^9 + 1355*T1^14*T2^9 - 240*T1^15*T2^9 - 
      24*T1^16*T2^9 - 81*T1^2*T2^10 - 216*T1^3*T2^10 + 2903*T1^4*T2^10 - 
      4503*T1^5*T2^10 - 5641*T1^6*T2^10 + 30439*T1^7*T2^10 - 
      35125*T1^8*T2^10 + 593*T1^9*T2^10 + 34319*T1^10*T2^10 - 
      30689*T1^11*T2^10 + 5969*T1^12*T2^10 + 4461*T1^13*T2^10 - 
      2929*T1^14*T2^10 + 216*T1^15*T2^10 + 81*T1^16*T2^10 + 108*T1^3*T2^11 - 
      328*T1^4*T2^11 - 1355*T1^5*T2^11 + 7161*T1^6*T2^11 - 11225*T1^7*T2^11 - 
      588*T1^8*T2^11 + 24931*T1^9*T2^11 - 30689*T1^10*T2^11 + 
      11760*T1^11*T2^11 + 8095*T1^12*T2^11 - 8553*T1^13*T2^11 + 
      2761*T1^14*T2^11 + 224*T1^15*T2^11 - 162*T1^16*T2^11 - 67*T1^4*T2^12 + 
      536*T1^5*T2^12 - 1093*T1^6*T2^12 - 1306*T1^7*T2^12 + 8463*T1^8*T2^12 - 
      14137*T1^9*T2^12 + 5969*T1^10*T2^12 + 8095*T1^11*T2^12 - 
      13593*T1^12*T2^12 + 6686*T1^13*T2^12 - 769*T1^14*T2^12 - 
      744*T1^15*T2^12 + 201*T1^16*T2^12 - 216*T1^6*T2^13 + 1301*T1^7*T2^13 - 
      2562*T1^8*T2^13 + 1340*T1^9*T2^13 + 4461*T1^10*T2^13 - 
      8553*T1^11*T2^13 + 6686*T1^12*T2^13 - 1212*T1^13*T2^13 - 
      1129*T1^14*T2^13 + 864*T1^15*T2^13 - 162*T1^16*T2^13 + 27*T1^6*T2^14 - 
      88*T1^7*T2^14 - 215*T1^8*T2^14 + 1355*T1^9*T2^14 - 2929*T1^10*T2^14 + 
      2761*T1^11*T2^14 - 769*T1^12*T2^14 - 1129*T1^13*T2^14 + 
      1189*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 216*T1^10*T2^15 + 224*T1^11*T2^15 - 
      744*T1^12*T2^15 + 864*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      162*T1^11*T2^16 + 201*T1^12*T2^16 - 162*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 471] -> {((1 - 3*T + T^2)*(4 - 9*T + 4*T^2))/T^2, 
   ((1 - 3*T1 + T1^2)*(4 - 9*T1 + 4*T1^2)*(1 + T1*T2)*(1 - 3*T2 + T2^2)*
     (4 - 9*T2 + 4*T2^2)*(8 - 21*T1*T2 + 8*T1^2*T2^2))/(T1^5*T2^4)}, 
 Knot[12, Alternating, 472] -> 
  {-((3 - 22*T + 56*T^2 - 75*T^3 + 56*T^4 - 22*T^5 + 3*T^6)/T^3), 
   -((-24 + 181*T1 - 472*T1^2 + 636*T1^3 - 472*T1^4 + 181*T1^5 - 24*T1^6 + 
      181*T2 - 1380*T1*T2 + 3633*T1^2*T2 - 4924*T1^3*T2 + 3722*T1^4*T2 - 
      1515*T1^5*T2 + 270*T1^6*T2 - 17*T1^7*T2 - 472*T2^2 + 3633*T1*T2^2 - 
      8679*T1^2*T2^2 + 7818*T1^3*T2^2 + 1645*T1^4*T2^2 - 9990*T1^5*T2^2 + 
      9129*T1^6*T2^2 - 3759*T1^7*T2^2 + 536*T1^8*T2^2 + 636*T2^3 - 
      4924*T1*T2^3 + 7818*T1^2*T2^3 + 12061*T1^3*T2^3 - 48486*T1^4*T2^3 + 
      60256*T1^5*T2^3 - 31385*T1^6*T2^3 + 818*T1^7*T2^3 + 6230*T1^8*T2^3 - 
      1389*T1^9*T2^3 - 472*T2^4 + 3722*T1*T2^4 + 1645*T1^2*T2^4 - 
      48486*T1^3*T2^4 + 91108*T1^4*T2^4 - 48988*T1^5*T2^4 - 48176*T1^6*T2^4 + 
      76014*T1^7*T2^4 - 33323*T1^8*T2^4 - 1162*T1^9*T2^4 + 1544*T1^10*T2^4 + 
      181*T2^5 - 1515*T1*T2^5 - 9990*T1^2*T2^5 + 60256*T1^3*T2^5 - 
      48988*T1^4*T2^5 - 82458*T1^5*T2^5 + 187704*T1^6*T2^5 - 
      106780*T1^7*T2^5 - 16970*T1^8*T2^5 + 40242*T1^9*T2^5 - 
      5343*T1^10*T2^5 - 809*T1^11*T2^5 - 24*T2^6 + 270*T1*T2^6 + 
      9129*T1^2*T2^6 - 31385*T1^3*T2^6 - 48176*T1^4*T2^6 + 187704*T1^5*T2^6 - 
      169068*T1^6*T2^6 - 43292*T1^7*T2^6 + 142064*T1^8*T2^6 - 
      65003*T1^9*T2^6 - 11623*T1^10*T2^6 + 4890*T1^11*T2^6 + 138*T1^12*T2^6 - 
      17*T1*T2^7 - 3759*T1^2*T2^7 + 818*T1^3*T2^7 + 76014*T1^4*T2^7 - 
      106780*T1^5*T2^7 - 43292*T1^6*T2^7 + 226870*T1^7*T2^7 - 
      164572*T1^8*T2^7 - 1212*T1^9*T2^7 + 51050*T1^10*T2^7 - 
      7587*T1^11*T2^7 - 1007*T1^12*T2^7 + 536*T1^2*T2^8 + 6230*T1^3*T2^8 - 
      33323*T1^4*T2^8 - 16970*T1^5*T2^8 + 142064*T1^6*T2^8 - 
      164572*T1^7*T2^8 + 2780*T1^8*T2^8 + 107530*T1^9*T2^8 - 
      68291*T1^10*T2^8 + 1346*T1^11*T2^8 + 2552*T1^12*T2^8 - 1389*T1^3*T2^9 - 
      1162*T1^4*T2^9 + 40242*T1^5*T2^9 - 65003*T1^6*T2^9 - 1212*T1^7*T2^9 + 
      107530*T1^8*T2^9 - 108449*T1^9*T2^9 + 33242*T1^10*T2^9 + 
      9992*T1^11*T2^9 - 3414*T1^12*T2^9 + 1544*T1^4*T2^10 - 5343*T1^5*T2^10 - 
      11623*T1^6*T2^10 + 51050*T1^7*T2^10 - 68291*T1^8*T2^10 + 
      33242*T1^9*T2^10 + 6185*T1^10*T2^10 - 12735*T1^11*T2^10 + 
      2552*T1^12*T2^10 - 809*T1^5*T2^11 + 4890*T1^6*T2^11 - 7587*T1^7*T2^11 + 
      1346*T1^8*T2^11 + 9992*T1^9*T2^11 - 12735*T1^10*T2^11 + 
      6540*T1^11*T2^11 - 1007*T1^12*T2^11 + 138*T1^6*T2^12 - 
      1007*T1^7*T2^12 + 2552*T1^8*T2^12 - 3414*T1^9*T2^12 + 
      2552*T1^10*T2^12 - 1007*T1^11*T2^12 + 138*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 473] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)^2/T^4, 
   (-4 + 32*T1 - 120*T1^2 + 256*T1^3 - 332*T1^4 + 256*T1^5 - 120*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 768*T1^2*T2 - 1328*T1^3*T2 + 
     1120*T1^4*T2 - 56*T1^5*T2 - 576*T1^6*T2 + 464*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 120*T2^2 + 768*T1*T2^2 - 2122*T1^2*T2^2 + 2395*T1^3*T2^2 + 
     533*T1^4*T2^2 - 4414*T1^5*T2^2 + 3713*T1^6*T2^2 - 965*T1^7*T2^2 - 
     382*T1^8*T2^2 + 288*T1^9*T2^2 - 60*T1^10*T2^2 + 256*T2^3 - 
     1328*T1*T2^3 + 2395*T1^2*T2^3 + 1422*T1^3*T2^3 - 10870*T1^4*T2^3 + 
     14489*T1^5*T2^3 - 2743*T1^6*T2^3 - 5782*T1^7*T2^3 + 4782*T1^8*T2^3 - 
     1205*T1^9*T2^3 - 32*T1^10*T2^3 + 64*T1^11*T2^3 - 332*T2^4 + 
     1120*T1*T2^4 + 533*T1^2*T2^4 - 10870*T1^3*T2^4 + 20812*T1^4*T2^4 - 
     6877*T1^5*T2^4 - 27020*T1^6*T2^4 + 28803*T1^7*T2^4 - 9308*T1^8*T2^4 - 
     2422*T1^9*T2^4 + 2301*T1^10*T2^4 - 512*T1^11*T2^4 + 256*T2^5 - 
     56*T1*T2^5 - 4414*T1^2*T2^5 + 14489*T1^3*T2^5 - 6877*T1^4*T2^5 - 
     37450*T1^5*T2^5 + 74576*T1^6*T2^5 - 32576*T1^7*T2^5 - 17442*T1^8*T2^5 + 
     23083*T1^9*T2^5 - 7511*T1^10*T2^5 + 2*T1^11*T2^5 + 512*T1^12*T2^5 - 
     64*T1^13*T2^5 - 120*T2^6 - 576*T1*T2^6 + 3713*T1^2*T2^6 - 
     2743*T1^3*T2^6 - 27020*T1^4*T2^6 + 74576*T1^5*T2^6 - 62082*T1^6*T2^6 - 
     43504*T1^7*T2^6 + 92390*T1^8*T2^6 - 47888*T1^9*T2^6 + 1268*T1^10*T2^6 + 
     7337*T1^11*T2^6 - 2291*T1^12*T2^6 + 32*T1^13*T2^6 + 60*T1^14*T2^6 + 
     32*T2^7 + 464*T1*T2^7 - 965*T1^2*T2^7 - 5782*T1^3*T2^7 + 
     28803*T1^4*T2^7 - 32576*T1^5*T2^7 - 43504*T1^6*T2^7 + 154364*T1^7*T2^7 - 
     130156*T1^8*T2^7 + 7984*T1^9*T2^7 + 43952*T1^10*T2^7 - 
     24037*T1^11*T2^7 + 2570*T1^12*T2^7 + 1195*T1^13*T2^7 - 288*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 382*T1^2*T2^8 + 4782*T1^3*T2^8 - 
     9308*T1^4*T2^8 - 17442*T1^5*T2^8 + 92390*T1^6*T2^8 - 130156*T1^7*T2^8 + 
     22644*T1^8*T2^8 + 113492*T1^9*T2^8 - 95498*T1^10*T2^8 + 
     21086*T1^11*T2^8 + 9244*T1^12*T2^8 - 4818*T1^13*T2^8 + 386*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 288*T1^2*T2^9 - 
     1205*T1^3*T2^9 - 2422*T1^4*T2^9 + 23083*T1^5*T2^9 - 47888*T1^6*T2^9 + 
     7984*T1^7*T2^9 + 113492*T1^8*T2^9 - 171028*T1^9*T2^9 + 
     59472*T1^10*T2^9 + 28640*T1^11*T2^9 - 29757*T1^12*T2^9 + 
     5930*T1^13*T2^9 + 955*T1^14*T2^9 - 464*T1^15*T2^9 - 32*T1^16*T2^9 - 
     60*T1^2*T2^10 - 32*T1^3*T2^10 + 2301*T1^4*T2^10 - 7511*T1^5*T2^10 + 
     1268*T1^6*T2^10 + 43952*T1^7*T2^10 - 95498*T1^8*T2^10 + 
     59472*T1^9*T2^10 + 58974*T1^10*T2^10 - 78512*T1^11*T2^10 + 
     29556*T1^12*T2^10 + 2569*T1^13*T2^10 - 3703*T1^14*T2^10 + 
     576*T1^15*T2^10 + 120*T1^16*T2^10 + 64*T1^3*T2^11 - 512*T1^4*T2^11 + 
     2*T1^5*T2^11 + 7337*T1^6*T2^11 - 24037*T1^7*T2^11 + 21086*T1^8*T2^11 + 
     28640*T1^9*T2^11 - 78512*T1^10*T2^11 + 41094*T1^11*T2^11 + 
     5923*T1^12*T2^11 - 14663*T1^13*T2^11 + 4418*T1^14*T2^11 + 
     56*T1^15*T2^11 - 256*T1^16*T2^11 + 512*T1^5*T2^12 - 2291*T1^6*T2^12 + 
     2570*T1^7*T2^12 + 9244*T1^8*T2^12 - 29757*T1^9*T2^12 + 
     29556*T1^10*T2^12 + 5923*T1^11*T2^12 - 20876*T1^12*T2^12 + 
     11018*T1^13*T2^12 - 523*T1^14*T2^12 - 1120*T1^15*T2^12 + 
     332*T1^16*T2^12 - 64*T1^5*T2^13 + 32*T1^6*T2^13 + 1195*T1^7*T2^13 - 
     4818*T1^8*T2^13 + 5930*T1^9*T2^13 + 2569*T1^10*T2^13 - 
     14663*T1^11*T2^13 + 11018*T1^12*T2^13 - 1458*T1^13*T2^13 - 
     2405*T1^14*T2^13 + 1328*T1^15*T2^13 - 256*T1^16*T2^13 + 60*T1^6*T2^14 - 
     288*T1^7*T2^14 + 386*T1^8*T2^14 + 955*T1^9*T2^14 - 3703*T1^10*T2^14 + 
     4418*T1^11*T2^14 - 523*T1^12*T2^14 - 2405*T1^13*T2^14 + 
     2126*T1^14*T2^14 - 768*T1^15*T2^14 + 120*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 464*T1^9*T2^15 + 576*T1^10*T2^15 + 56*T1^11*T2^15 - 
     1120*T1^12*T2^15 + 1328*T1^13*T2^15 - 768*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     120*T1^10*T2^16 - 256*T1^11*T2^16 + 332*T1^12*T2^16 - 256*T1^13*T2^16 + 
     120*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 474] -> 
  {-((1 - 9*T + 32*T^2 - 63*T^3 + 77*T^4 - 63*T^5 + 32*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 96*T1^2 + 189*T1^3 - 231*T1^4 + 189*T1^5 - 
      96*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 702*T1^2*T2 - 
      1125*T1^3*T2 + 945*T1^4*T2 - 315*T1^5*T2 - 270*T1^6*T2 + 333*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 96*T2^2 + 702*T1*T2^2 - 1646*T1^2*T2^2 + 
      1154*T1^3*T2^2 + 1786*T1^4*T2^2 - 4406*T1^5*T2^2 + 4666*T1^6*T2^2 - 
      2302*T1^7*T2^2 + 338*T1^8*T2^2 + 126*T1^9*T2^2 - 32*T1^10*T2^2 + 
      189*T2^3 - 1125*T1*T2^3 + 1154*T1^2*T2^3 + 3909*T1^3*T2^3 - 
      12472*T1^4*T2^3 + 14276*T1^5*T2^3 - 8089*T1^6*T2^3 - 1366*T1^7*T2^3 + 
      4197*T1^8*T2^3 - 2014*T1^9*T2^3 + 288*T1^10*T2^3 - 231*T2^4 + 
      945*T1*T2^4 + 1786*T1^2*T2^4 - 12472*T1^3*T2^4 + 20974*T1^4*T2^4 - 
      9268*T1^5*T2^4 - 11782*T1^6*T2^4 + 25130*T1^7*T2^4 - 16854*T1^8*T2^4 + 
      3278*T1^9*T2^4 + 1436*T1^10*T2^4 - 693*T1^11*T2^4 + 77*T1^12*T2^4 + 
      189*T2^5 - 315*T1*T2^5 - 4406*T1^2*T2^5 + 14276*T1^3*T2^5 - 
      9268*T1^4*T2^5 - 25048*T1^5*T2^5 + 52166*T1^6*T2^5 - 45484*T1^7*T2^5 + 
      7838*T1^8*T2^5 + 16877*T1^9*T2^5 - 12247*T1^10*T2^5 + 2209*T1^11*T2^5 + 
      441*T1^12*T2^5 - 126*T1^13*T2^5 - 96*T2^6 - 270*T1*T2^6 + 
      4666*T1^2*T2^6 - 8089*T1^3*T2^6 - 11782*T1^4*T2^6 + 52166*T1^5*T2^6 - 
      54184*T1^6*T2^6 + 4056*T1^7*T2^6 + 51056*T1^8*T2^6 - 53674*T1^9*T2^6 + 
      12886*T1^10*T2^6 + 8039*T1^11*T2^6 - 4674*T1^12*T2^6 + 270*T1^13*T2^6 + 
      96*T1^14*T2^6 + 27*T2^7 + 333*T1*T2^7 - 2302*T1^2*T2^7 - 
      1366*T1^3*T2^7 + 25130*T1^4*T2^7 - 45484*T1^5*T2^7 + 4056*T1^6*T2^7 + 
      72006*T1^7*T2^7 - 90984*T1^8*T2^7 + 34917*T1^9*T2^7 + 
      35786*T1^10*T2^7 - 34027*T1^11*T2^7 + 6104*T1^12*T2^7 + 
      2594*T1^13*T2^7 - 540*T1^14*T2^7 - 36*T1^15*T2^7 - 3*T2^8 - 
      135*T1*T2^8 + 338*T1^2*T2^8 + 4197*T1^3*T2^8 - 16854*T1^4*T2^8 + 
      7838*T1^5*T2^8 + 51056*T1^6*T2^8 - 90984*T1^7*T2^8 + 29808*T1^8*T2^8 + 
      60036*T1^9*T2^8 - 96662*T1^10*T2^8 + 32786*T1^11*T2^8 + 
      12774*T1^12*T2^8 - 9681*T1^13*T2^8 + 316*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 126*T1^2*T2^9 - 2014*T1^3*T2^9 + 
      3278*T1^4*T2^9 + 16877*T1^5*T2^9 - 53674*T1^6*T2^9 + 34917*T1^7*T2^9 + 
      60036*T1^8*T2^9 - 102954*T1^9*T2^9 + 65778*T1^10*T2^9 + 
      27596*T1^11*T2^9 - 42280*T1^12*T2^9 + 10748*T1^13*T2^9 + 
      2882*T1^14*T2^9 - 747*T1^15*T2^9 - 45*T1^16*T2^9 - 32*T1^2*T2^10 + 
      288*T1^3*T2^10 + 1436*T1^4*T2^10 - 12247*T1^5*T2^10 + 
      12886*T1^6*T2^10 + 35786*T1^7*T2^10 - 96662*T1^8*T2^10 + 
      65778*T1^9*T2^10 + 8578*T1^10*T2^10 - 70054*T1^11*T2^10 + 
      37554*T1^12*T2^10 + 3881*T1^13*T2^10 - 7904*T1^14*T2^10 + 
      828*T1^15*T2^10 + 160*T1^16*T2^10 - 693*T1^4*T2^11 + 2209*T1^5*T2^11 + 
      8039*T1^6*T2^11 - 34027*T1^7*T2^11 + 32786*T1^8*T2^11 + 
      27596*T1^9*T2^11 - 70054*T1^10*T2^11 + 65672*T1^11*T2^11 - 
      7882*T1^12*T2^11 - 18484*T1^13*T2^11 + 8824*T1^14*T2^11 + 
      63*T1^15*T2^11 - 315*T1^16*T2^11 + 77*T1^4*T2^12 + 441*T1^5*T2^12 - 
      4674*T1^6*T2^12 + 6104*T1^7*T2^12 + 12774*T1^8*T2^12 - 
      42280*T1^9*T2^12 + 37554*T1^10*T2^12 - 7882*T1^11*T2^12 - 
      25054*T1^12*T2^12 + 21854*T1^13*T2^12 - 5024*T1^14*T2^12 - 
      1197*T1^15*T2^12 + 385*T1^16*T2^12 - 126*T1^5*T2^13 + 270*T1^6*T2^13 + 
      2594*T1^7*T2^13 - 9681*T1^8*T2^13 + 10748*T1^9*T2^13 + 
      3881*T1^10*T2^13 - 18484*T1^11*T2^13 + 21854*T1^12*T2^13 - 
      9393*T1^13*T2^13 - 574*T1^14*T2^13 + 1683*T1^15*T2^13 - 
      315*T1^16*T2^13 + 96*T1^6*T2^14 - 540*T1^7*T2^14 + 316*T1^8*T2^14 + 
      2882*T1^9*T2^14 - 7904*T1^10*T2^14 + 8824*T1^11*T2^14 - 
      5024*T1^12*T2^14 - 574*T1^13*T2^14 + 2300*T1^14*T2^14 - 
      1116*T1^15*T2^14 + 160*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      747*T1^9*T2^15 + 828*T1^10*T2^15 + 63*T1^11*T2^15 - 1197*T1^12*T2^15 + 
      1683*T1^13*T2^15 - 1116*T1^14*T2^15 + 369*T1^15*T2^15 - 
      45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 160*T1^10*T2^16 - 
      315*T1^11*T2^16 + 385*T1^12*T2^16 - 315*T1^13*T2^16 + 160*T1^14*T2^16 - 
      45*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 475] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4), 
   -((-5 + 40*T1 - 140*T1^2 + 280*T1^3 - 345*T1^4 + 280*T1^5 - 140*T1^6 + 
      40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 864*T1^2*T2 - 1344*T1^3*T2 + 
      968*T1^4*T2 - 32*T1^5*T2 - 672*T1^6*T2 + 576*T1^7*T2 - 216*T1^8*T2 + 
      32*T1^9*T2 - 140*T2^2 + 864*T1*T2^2 - 1960*T1^2*T2^2 + 1358*T1^3*T2^2 + 
      2298*T1^4*T2^2 - 5092*T1^5*T2^2 + 4594*T1^6*T2^2 - 1330*T1^7*T2^2 - 
      448*T1^8*T2^2 + 416*T1^9*T2^2 - 84*T1^10*T2^2 + 280*T2^3 - 
      1344*T1*T2^3 + 1358*T1^2*T2^3 + 4120*T1^3*T2^3 - 12916*T1^4*T2^3 + 
      11662*T1^5*T2^3 - 2226*T1^6*T2^3 - 7036*T1^7*T2^3 + 5632*T1^8*T2^3 - 
      1330*T1^9*T2^3 - 224*T1^10*T2^3 + 112*T1^11*T2^3 - 345*T2^4 + 
      968*T1*T2^4 + 2298*T1^2*T2^4 - 12916*T1^3*T2^4 + 17723*T1^4*T2^4 + 
      2962*T1^5*T2^4 - 23711*T1^6*T2^4 + 26450*T1^7*T2^4 - 6517*T1^8*T2^4 - 
      4180*T1^9*T2^4 + 2858*T1^10*T2^4 - 344*T1^11*T2^4 - 69*T1^12*T2^4 + 
      280*T2^5 - 32*T1*T2^5 - 5092*T1^2*T2^5 + 11662*T1^3*T2^5 + 
      2962*T1^4*T2^5 - 43476*T1^5*T2^5 + 49052*T1^6*T2^5 - 17924*T1^7*T2^5 - 
      23316*T1^8*T2^5 + 21586*T1^9*T2^5 - 4914*T1^10*T2^5 - 1252*T1^11*T2^5 + 
      552*T1^12*T2^5 - 140*T2^6 - 672*T1*T2^6 + 4594*T1^2*T2^6 - 
      2226*T1^3*T2^6 - 23711*T1^4*T2^6 + 49052*T1^5*T2^6 - 7330*T1^6*T2^6 - 
      49676*T1^7*T2^6 + 69614*T1^8*T2^6 - 23972*T1^9*T2^6 - 8143*T1^10*T2^6 + 
      7630*T1^11*T2^6 - 1174*T1^12*T2^6 - 224*T1^13*T2^6 + 28*T1^14*T2^6 + 
      40*T2^7 + 576*T1*T2^7 - 1330*T1^2*T2^7 - 7036*T1^3*T2^7 + 
      26450*T1^4*T2^7 - 17924*T1^5*T2^7 - 49676*T1^6*T2^7 + 81612*T1^7*T2^7 - 
      46068*T1^8*T2^7 - 25036*T1^9*T2^7 + 36956*T1^10*T2^7 - 
      11630*T1^11*T2^7 - 1492*T1^12*T2^7 + 1358*T1^13*T2^7 - 96*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 448*T1^2*T2^8 + 5632*T1^3*T2^8 - 
      6517*T1^4*T2^8 - 23316*T1^5*T2^8 + 69614*T1^6*T2^8 - 46068*T1^7*T2^8 - 
      25344*T1^8*T2^8 + 70860*T1^9*T2^8 - 39474*T1^10*T2^8 - 
      3540*T1^11*T2^8 + 10163*T1^12*T2^8 - 2880*T1^13*T2^8 - 160*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 416*T1^2*T2^9 - 
      1330*T1^3*T2^9 - 4180*T1^4*T2^9 + 21586*T1^5*T2^9 - 23972*T1^6*T2^9 - 
      25036*T1^7*T2^9 + 70860*T1^8*T2^9 - 56820*T1^9*T2^9 - 396*T1^10*T2^9 + 
      30908*T1^11*T2^9 - 16494*T1^12*T2^9 + 1364*T1^13*T2^9 + 
      1358*T1^14*T2^9 - 256*T1^15*T2^9 - 24*T1^16*T2^9 - 84*T1^2*T2^10 - 
      224*T1^3*T2^10 + 2858*T1^4*T2^10 - 4914*T1^5*T2^10 - 8143*T1^6*T2^10 + 
      36956*T1^7*T2^10 - 39474*T1^8*T2^10 - 396*T1^9*T2^10 + 
      37470*T1^10*T2^10 - 36068*T1^11*T2^10 + 7425*T1^12*T2^10 + 
      4942*T1^13*T2^10 - 2910*T1^14*T2^10 + 224*T1^15*T2^10 + 
      84*T1^16*T2^10 + 112*T1^3*T2^11 - 344*T1^4*T2^11 - 1252*T1^5*T2^11 + 
      7630*T1^6*T2^11 - 11630*T1^7*T2^11 - 3540*T1^8*T2^11 + 
      30908*T1^9*T2^11 - 36068*T1^10*T2^11 + 16620*T1^11*T2^11 + 
      6994*T1^12*T2^11 - 8946*T1^13*T2^11 + 2588*T1^14*T2^11 + 
      240*T1^15*T2^11 - 168*T1^16*T2^11 - 69*T1^4*T2^12 + 552*T1^5*T2^12 - 
      1174*T1^6*T2^12 - 1492*T1^7*T2^12 + 10163*T1^8*T2^12 - 
      16494*T1^9*T2^12 + 7425*T1^10*T2^12 + 6994*T1^11*T2^12 - 
      14077*T1^12*T2^12 + 7244*T1^13*T2^12 - 614*T1^14*T2^12 - 
      760*T1^15*T2^12 + 207*T1^16*T2^12 - 224*T1^6*T2^13 + 1358*T1^7*T2^13 - 
      2880*T1^8*T2^13 + 1364*T1^9*T2^13 + 4942*T1^10*T2^13 - 
      8946*T1^11*T2^13 + 7244*T1^12*T2^13 - 1368*T1^13*T2^13 - 
      1330*T1^14*T2^13 + 896*T1^15*T2^13 - 168*T1^16*T2^13 + 28*T1^6*T2^14 - 
      96*T1^7*T2^14 - 160*T1^8*T2^14 + 1358*T1^9*T2^14 - 2910*T1^10*T2^14 + 
      2588*T1^11*T2^14 - 614*T1^12*T2^14 - 1330*T1^13*T2^14 + 
      1352*T1^14*T2^14 - 544*T1^15*T2^14 + 84*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 256*T1^9*T2^15 + 224*T1^10*T2^15 + 240*T1^11*T2^15 - 
      760*T1^12*T2^15 + 896*T1^13*T2^15 - 544*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 84*T1^10*T2^16 - 
      168*T1^11*T2^16 + 207*T1^12*T2^16 - 168*T1^13*T2^16 + 84*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 476] -> 
  {(1 - 7*T + 20*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 20*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 40*T1^2 + 66*T1^3 - 78*T1^4 + 66*T1^5 - 40*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 231*T1^2*T2 - 322*T1^3*T2 + 315*T1^4*T2 - 
     189*T1^5*T2 + 49*T1^6*T2 + 42*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     40*T2^2 + 231*T1*T2^2 - 454*T1^2*T2^2 + 327*T1^3*T2^2 + 75*T1^4*T2^2 - 
     614*T1^5*T2^2 + 835*T1^6*T2^2 - 713*T1^7*T2^2 + 306*T1^8*T2^2 - 
     49*T1^9*T2^2 + 66*T2^3 - 322*T1*T2^3 + 327*T1^2*T2^3 + 627*T1^3*T2^3 - 
     1818*T1^4*T2^3 + 2638*T1^5*T2^3 - 2195*T1^6*T2^3 + 1048*T1^7*T2^3 + 
     213*T1^8*T2^3 - 533*T1^9*T2^3 + 231*T1^10*T2^3 - 33*T1^11*T2^3 - 
     78*T2^4 + 315*T1*T2^4 + 75*T1^2*T2^4 - 1818*T1^3*T2^4 + 2914*T1^4*T2^4 - 
     2456*T1^5*T2^4 + 46*T1^6*T2^4 + 2266*T1^7*T2^4 - 3170*T1^8*T2^4 + 
     1812*T1^9*T2^4 - 39*T1^10*T2^4 - 315*T1^11*T2^4 + 78*T1^12*T2^4 + 
     66*T2^5 - 189*T1*T2^5 - 614*T1^2*T2^5 + 2638*T1^3*T2^5 - 
     2456*T1^4*T2^5 - 166*T1^5*T2^5 + 3673*T1^6*T2^5 - 4895*T1^7*T2^5 + 
     2750*T1^8*T2^5 + 1135*T1^9*T2^5 - 3017*T1^10*T2^5 + 1159*T1^11*T2^5 + 
     147*T1^12*T2^5 - 99*T1^13*T2^5 - 40*T2^6 + 49*T1*T2^6 + 835*T1^2*T2^6 - 
     2195*T1^3*T2^6 + 46*T1^4*T2^6 + 3673*T1^5*T2^6 - 5020*T1^6*T2^6 + 
     2586*T1^7*T2^6 + 2876*T1^8*T2^6 - 5735*T1^9*T2^6 + 3874*T1^10*T2^6 + 
     1405*T1^11*T2^6 - 1673*T1^12*T2^6 + 133*T1^13*T2^6 + 80*T1^14*T2^6 + 
     14*T2^7 + 42*T1*T2^7 - 713*T1^2*T2^7 + 1048*T1^3*T2^7 + 2266*T1^4*T2^7 - 
     4895*T1^5*T2^7 + 2586*T1^6*T2^7 + 1110*T1^7*T2^7 - 5122*T1^8*T2^7 + 
     2537*T1^9*T2^7 + 1993*T1^10*T2^7 - 5849*T1^11*T2^7 + 1238*T1^12*T2^7 + 
     1227*T1^13*T2^7 - 315*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     306*T1^2*T2^8 + 213*T1^3*T2^8 - 3170*T1^4*T2^8 + 2750*T1^5*T2^8 + 
     2876*T1^6*T2^8 - 5122*T1^7*T2^8 + 6024*T1^8*T2^8 + 190*T1^9*T2^8 - 
     2494*T1^10*T2^8 + 2534*T1^11*T2^8 + 4194*T1^12*T2^8 - 3193*T1^13*T2^8 + 
     8*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 533*T1^3*T2^9 + 1812*T1^4*T2^9 + 1135*T1^5*T2^9 - 
     5735*T1^6*T2^9 + 2537*T1^7*T2^9 + 190*T1^8*T2^9 - 6042*T1^9*T2^9 + 
     2488*T1^10*T2^9 + 1153*T1^11*T2^9 - 6980*T1^12*T2^9 + 2002*T1^13*T2^9 + 
     1407*T1^14*T2^9 - 406*T1^15*T2^9 - 42*T1^16*T2^9 + 231*T1^3*T2^10 - 
     39*T1^4*T2^10 - 3017*T1^5*T2^10 + 3874*T1^6*T2^10 + 1993*T1^7*T2^10 - 
     2494*T1^8*T2^10 + 2488*T1^9*T2^10 + 5402*T1^10*T2^10 - 
     7415*T1^11*T2^10 + 7702*T1^12*T2^10 + 583*T1^13*T2^10 - 
     2547*T1^14*T2^10 + 315*T1^15*T2^10 + 120*T1^16*T2^10 - 33*T1^3*T2^11 - 
     315*T1^4*T2^11 + 1159*T1^5*T2^11 + 1405*T1^6*T2^11 - 5849*T1^7*T2^11 + 
     2534*T1^8*T2^11 + 1153*T1^9*T2^11 - 7415*T1^10*T2^11 + 
     5450*T1^11*T2^11 - 2258*T1^12*T2^11 - 4250*T1^13*T2^11 + 
     2932*T1^14*T2^11 + 21*T1^15*T2^11 - 198*T1^16*T2^11 + 78*T1^4*T2^12 + 
     147*T1^5*T2^12 - 1673*T1^6*T2^12 + 1238*T1^7*T2^12 + 4194*T1^8*T2^12 - 
     6980*T1^9*T2^12 + 7702*T1^10*T2^12 - 2258*T1^11*T2^12 - 
     1890*T1^12*T2^12 + 4868*T1^13*T2^12 - 1787*T1^14*T2^12 - 
     483*T1^15*T2^12 + 234*T1^16*T2^12 - 99*T1^5*T2^13 + 133*T1^6*T2^13 + 
     1227*T1^7*T2^13 - 3193*T1^8*T2^13 + 2002*T1^9*T2^13 + 583*T1^10*T2^13 - 
     4250*T1^11*T2^13 + 4868*T1^12*T2^13 - 3607*T1^13*T2^13 + 
     367*T1^14*T2^13 + 686*T1^15*T2^13 - 198*T1^16*T2^13 + 80*T1^6*T2^14 - 
     315*T1^7*T2^14 + 8*T1^8*T2^14 + 1407*T1^9*T2^14 - 2547*T1^10*T2^14 + 
     2932*T1^11*T2^14 - 1787*T1^12*T2^14 + 367*T1^13*T2^14 + 
     768*T1^14*T2^14 - 595*T1^15*T2^14 + 120*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 406*T1^9*T2^15 + 315*T1^10*T2^15 + 21*T1^11*T2^15 - 
     483*T1^12*T2^15 + 686*T1^13*T2^15 - 595*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 120*T1^10*T2^16 - 
     198*T1^11*T2^16 + 234*T1^12*T2^16 - 198*T1^13*T2^16 + 120*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 477] -> 
  {-(((-1 + 5*T - 6*T^2 + T^3)*(-1 + 6*T - 5*T^2 + T^3))/T^3), 
   -(((-1 + 5*T1 - 6*T1^2 + T1^3)*(-1 + 6*T1 - 5*T1^2 + T1^3)*(1 + T1*T2)*
      (-1 + 5*T2 - 6*T2^2 + T2^3)*(-1 + 6*T2 - 5*T2^2 + T2^3)*
      (3 - 22*T1*T2 + 44*T1^2*T2^2 - 22*T1^3*T2^3 + 3*T1^4*T2^4))/
     (T1^7*T2^6))}, Knot[12, Alternating, 478] -> 
  {-((1 - 8*T + 25*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 75*T1^2 + 138*T1^3 - 165*T1^4 + 138*T1^5 - 
      75*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 472*T1^2*T2 - 
      704*T1^3*T2 + 584*T1^4*T2 - 224*T1^5*T2 - 136*T1^6*T2 + 208*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 75*T2^2 + 472*T1*T2^2 - 873*T1^2*T2^2 + 
      443*T1^3*T2^2 + 1151*T1^4*T2^2 - 2455*T1^5*T2^2 + 2651*T1^6*T2^2 - 
      1457*T1^7*T2^2 + 327*T1^8*T2^2 + 72*T1^9*T2^2 - 25*T1^10*T2^2 + 
      138*T2^3 - 704*T1*T2^3 + 443*T1^2*T2^3 + 2036*T1^3*T2^3 - 
      5776*T1^4*T2^3 + 6422*T1^5*T2^3 - 3980*T1^6*T2^3 - 270*T1^7*T2^3 + 
      1922*T1^8*T2^3 - 1207*T1^9*T2^3 + 200*T1^10*T2^3 - 165*T2^4 + 
      584*T1*T2^4 + 1151*T1^2*T2^4 - 5776*T1^3*T2^4 + 9374*T1^4*T2^4 - 
      5149*T1^5*T2^4 - 2326*T1^6*T2^4 + 8571*T1^7*T2^4 - 6714*T1^8*T2^4 + 
      1768*T1^9*T2^4 + 763*T1^10*T2^4 - 440*T1^11*T2^4 + 55*T1^12*T2^4 + 
      138*T2^5 - 224*T1*T2^5 - 2455*T1^2*T2^5 + 6422*T1^3*T2^5 - 
      5149*T1^4*T2^5 - 6302*T1^5*T2^5 + 15056*T1^6*T2^5 - 14964*T1^7*T2^5 + 
      2998*T1^8*T2^5 + 6291*T1^9*T2^5 - 5648*T1^10*T2^5 + 1205*T1^11*T2^5 + 
      296*T1^12*T2^5 - 92*T1^13*T2^5 - 75*T2^6 - 136*T1*T2^6 + 
      2651*T1^2*T2^6 - 3980*T1^3*T2^6 - 2326*T1^4*T2^6 + 15056*T1^5*T2^6 - 
      15553*T1^6*T2^6 + 2729*T1^7*T2^6 + 14611*T1^8*T2^6 - 16856*T1^9*T2^6 + 
      4212*T1^10*T2^6 + 3920*T1^11*T2^6 - 2625*T1^12*T2^6 + 136*T1^13*T2^6 + 
      75*T1^14*T2^6 + 24*T2^7 + 208*T1*T2^7 - 1457*T1^2*T2^7 - 
      270*T1^3*T2^7 + 8571*T1^4*T2^7 - 14964*T1^5*T2^7 + 2729*T1^6*T2^7 + 
      17776*T1^7*T2^7 - 25300*T1^8*T2^7 + 10609*T1^9*T2^7 + 
      11272*T1^10*T2^7 - 11989*T1^11*T2^7 + 2376*T1^12*T2^7 + 
      1693*T1^13*T2^7 - 344*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 327*T1^2*T2^8 + 1922*T1^3*T2^8 - 6714*T1^4*T2^8 + 
      2998*T1^5*T2^8 + 14611*T1^6*T2^8 - 25300*T1^7*T2^8 + 9396*T1^8*T2^8 + 
      15812*T1^9*T2^8 - 28669*T1^10*T2^8 + 10318*T1^11*T2^8 + 
      4706*T1^12*T2^8 - 4614*T1^13*T2^8 - 45*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 72*T1^2*T2^9 - 1207*T1^3*T2^9 + 
      1768*T1^4*T2^9 + 6291*T1^5*T2^9 - 16856*T1^6*T2^9 + 10609*T1^7*T2^9 + 
      15812*T1^8*T2^9 - 27264*T1^9*T2^9 + 18489*T1^10*T2^9 + 
      9380*T1^11*T2^9 - 14269*T1^12*T2^9 + 4414*T1^13*T2^9 + 
      1943*T1^14*T2^9 - 480*T1^15*T2^9 - 40*T1^16*T2^9 - 25*T1^2*T2^10 + 
      200*T1^3*T2^10 + 763*T1^4*T2^10 - 5648*T1^5*T2^10 + 4212*T1^6*T2^10 + 
      11272*T1^7*T2^10 - 28669*T1^8*T2^10 + 18489*T1^9*T2^10 + 
      1495*T1^10*T2^10 - 20640*T1^11*T2^10 + 10750*T1^12*T2^10 + 
      2252*T1^13*T2^10 - 4513*T1^14*T2^10 + 472*T1^15*T2^10 + 
      125*T1^16*T2^10 - 440*T1^4*T2^11 + 1205*T1^5*T2^11 + 3920*T1^6*T2^11 - 
      11989*T1^7*T2^11 + 10318*T1^8*T2^11 + 9380*T1^9*T2^11 - 
      20640*T1^10*T2^11 + 19618*T1^11*T2^11 - 549*T1^12*T2^11 - 
      8150*T1^13*T2^11 + 4865*T1^14*T2^11 + 80*T1^15*T2^11 - 
      230*T1^16*T2^11 + 55*T1^4*T2^12 + 296*T1^5*T2^12 - 2625*T1^6*T2^12 + 
      2376*T1^7*T2^12 + 4706*T1^8*T2^12 - 14269*T1^9*T2^12 + 
      10750*T1^10*T2^12 - 549*T1^11*T2^12 - 11382*T1^12*T2^12 + 
      9920*T1^13*T2^12 - 3013*T1^14*T2^12 - 728*T1^15*T2^12 + 
      275*T1^16*T2^12 - 92*T1^5*T2^13 + 136*T1^6*T2^13 + 1693*T1^7*T2^13 - 
      4614*T1^8*T2^13 + 4414*T1^9*T2^13 + 2252*T1^10*T2^13 - 
      8150*T1^11*T2^13 + 9920*T1^12*T2^13 - 4728*T1^13*T2^13 + 
      43*T1^14*T2^13 + 1040*T1^15*T2^13 - 230*T1^16*T2^13 + 75*T1^6*T2^14 - 
      344*T1^7*T2^14 - 45*T1^8*T2^14 + 1943*T1^9*T2^14 - 4513*T1^10*T2^14 + 
      4865*T1^11*T2^14 - 3013*T1^12*T2^14 + 43*T1^13*T2^14 + 
      1155*T1^14*T2^14 - 744*T1^15*T2^14 + 125*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 480*T1^9*T2^15 + 472*T1^10*T2^15 + 80*T1^11*T2^15 - 
      728*T1^12*T2^15 + 1040*T1^13*T2^15 - 744*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      125*T1^10*T2^16 - 230*T1^11*T2^16 + 275*T1^12*T2^16 - 230*T1^13*T2^16 + 
      125*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 479] -> 
  {(1 - 8*T + 28*T^2 - 56*T^3 + 71*T^4 - 56*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 224*T1^3 - 284*T1^4 + 224*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1120*T1^3*T2 + 
     928*T1^4*T2 - 88*T1^5*T2 - 448*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1656*T1^2*T2^2 + 1345*T1^3*T2^2 + 
     1231*T1^4*T2^2 - 4220*T1^5*T2^2 + 3639*T1^6*T2^2 - 1343*T1^7*T2^2 - 
     144*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 224*T2^3 - 
     1120*T1*T2^3 + 1345*T1^2*T2^3 + 2738*T1^3*T2^3 - 9637*T1^4*T2^3 + 
     11633*T1^5*T2^3 - 2703*T1^6*T2^3 - 4093*T1^7*T2^3 + 4250*T1^8*T2^3 - 
     1343*T1^9*T2^3 + 56*T1^11*T2^3 - 284*T2^4 + 928*T1*T2^4 + 
     1231*T1^2*T2^4 - 9637*T1^3*T2^4 + 14823*T1^4*T2^4 - 4128*T1^5*T2^4 - 
     18967*T1^6*T2^4 + 20768*T1^7*T2^4 - 8305*T1^8*T2^4 - 1349*T1^9*T2^4 + 
     2015*T1^10*T2^4 - 448*T1^11*T2^4 + 224*T2^5 - 88*T1*T2^5 - 
     4220*T1^2*T2^5 + 11633*T1^3*T2^5 - 4128*T1^4*T2^5 - 23998*T1^5*T2^5 + 
     46181*T1^6*T2^5 - 19899*T1^7*T2^5 - 10942*T1^8*T2^5 + 16672*T1^9*T2^5 - 
     6287*T1^10*T2^5 + 4*T1^11*T2^5 + 448*T1^12*T2^5 - 56*T1^13*T2^5 - 
     112*T2^6 - 448*T1*T2^6 + 3639*T1^2*T2^6 - 2703*T1^3*T2^6 - 
     18967*T1^4*T2^6 + 46181*T1^5*T2^6 - 35882*T1^6*T2^6 - 26550*T1^7*T2^6 + 
     53606*T1^8*T2^6 - 28635*T1^9*T2^6 - 39*T1^10*T2^6 + 6257*T1^11*T2^6 - 
     2017*T1^12*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1343*T1^2*T2^7 - 4093*T1^3*T2^7 + 20768*T1^4*T2^7 - 19899*T1^5*T2^7 - 
     26550*T1^6*T2^7 + 84616*T1^7*T2^7 - 65016*T1^8*T2^7 - 1910*T1^9*T2^7 + 
     28709*T1^10*T2^7 - 16416*T1^11*T2^7 + 1339*T1^12*T2^7 + 
     1345*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 144*T1^2*T2^8 + 4250*T1^3*T2^8 - 8305*T1^4*T2^8 - 
     10942*T1^5*T2^8 + 53606*T1^6*T2^8 - 65016*T1^7*T2^8 + 2220*T1^8*T2^8 + 
     64456*T1^9*T2^8 - 49210*T1^10*T2^8 + 9602*T1^11*T2^8 + 8391*T1^12*T2^8 - 
     4262*T1^13*T2^8 + 144*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 256*T1^2*T2^9 - 1343*T1^3*T2^9 - 1349*T1^4*T2^9 + 
     16672*T1^5*T2^9 - 28635*T1^6*T2^9 - 1910*T1^7*T2^9 + 64456*T1^8*T2^9 - 
     85176*T1^9*T2^9 + 22730*T1^10*T2^9 + 19973*T1^11*T2^9 - 
     20512*T1^12*T2^9 + 4083*T1^13*T2^9 + 1345*T1^14*T2^9 - 416*T1^15*T2^9 - 
     32*T1^16*T2^9 - 56*T1^2*T2^10 + 2015*T1^4*T2^10 - 6287*T1^5*T2^10 - 
     39*T1^6*T2^10 + 28709*T1^7*T2^10 - 49210*T1^8*T2^10 + 22730*T1^9*T2^10 + 
     40278*T1^10*T2^10 - 46107*T1^11*T2^10 + 18889*T1^12*T2^10 + 
     2673*T1^13*T2^10 - 3641*T1^14*T2^10 + 448*T1^15*T2^10 + 
     112*T1^16*T2^10 + 56*T1^3*T2^11 - 448*T1^4*T2^11 + 4*T1^5*T2^11 + 
     6257*T1^6*T2^11 - 16416*T1^7*T2^11 + 9602*T1^8*T2^11 + 
     19973*T1^9*T2^11 - 46107*T1^10*T2^11 + 22658*T1^11*T2^11 + 
     4384*T1^12*T2^11 - 11663*T1^13*T2^11 + 4228*T1^14*T2^11 + 
     88*T1^15*T2^11 - 224*T1^16*T2^11 + 448*T1^5*T2^12 - 2017*T1^6*T2^12 + 
     1339*T1^7*T2^12 + 8391*T1^8*T2^12 - 20512*T1^9*T2^12 + 
     18889*T1^10*T2^12 + 4384*T1^11*T2^12 - 14737*T1^12*T2^12 + 
     9627*T1^13*T2^12 - 1233*T1^14*T2^12 - 928*T1^15*T2^12 + 
     284*T1^16*T2^12 - 56*T1^5*T2^13 + 1345*T1^7*T2^13 - 4262*T1^8*T2^13 + 
     4083*T1^9*T2^13 + 2673*T1^10*T2^13 - 11663*T1^11*T2^13 + 
     9627*T1^12*T2^13 - 2750*T1^13*T2^13 - 1343*T1^14*T2^13 + 
     1120*T1^15*T2^13 - 224*T1^16*T2^13 + 56*T1^6*T2^14 - 256*T1^7*T2^14 + 
     144*T1^8*T2^14 + 1345*T1^9*T2^14 - 3641*T1^10*T2^14 + 4228*T1^11*T2^14 - 
     1233*T1^12*T2^14 - 1343*T1^13*T2^14 + 1656*T1^14*T2^14 - 
     704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 160*T1^8*T2^15 - 
     416*T1^9*T2^15 + 448*T1^10*T2^15 + 88*T1^11*T2^15 - 928*T1^12*T2^15 + 
     1120*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 32*T1^16*T2^15 + 
     4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 224*T1^11*T2^16 + 
     284*T1^12*T2^16 - 224*T1^13*T2^16 + 112*T1^14*T2^16 - 32*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 480] -> 
  {-((1 - 8*T + 30*T^2 - 64*T^3 + 81*T^4 - 64*T^5 + 30*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 150*T1^2 + 320*T1^3 - 405*T1^4 + 320*T1^5 - 
      150*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 944*T1^2*T2 - 
      1600*T1^3*T2 + 1192*T1^4*T2 + 32*T1^5*T2 - 848*T1^6*T2 + 640*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 150*T2^2 + 944*T1*T2^2 - 2542*T1^2*T2^2 + 
      2633*T1^3*T2^2 + 1565*T1^4*T2^2 - 5422*T1^5*T2^2 + 4625*T1^6*T2^2 - 
      727*T1^7*T2^2 - 802*T1^8*T2^2 + 464*T1^9*T2^2 - 90*T1^10*T2^2 + 
      320*T2^3 - 1600*T1*T2^3 + 2633*T1^2*T2^3 + 2754*T1^3*T2^3 - 
      15113*T1^4*T2^3 + 15141*T1^5*T2^3 - 1611*T1^6*T2^3 - 9641*T1^7*T2^3 + 
      6114*T1^8*T2^3 - 967*T1^9*T2^3 - 304*T1^10*T2^3 + 128*T1^11*T2^3 - 
      405*T2^4 + 1192*T1*T2^4 + 1565*T1^2*T2^4 - 15113*T1^3*T2^4 + 
      25558*T1^4*T2^4 + 3170*T1^5*T2^4 - 37510*T1^6*T2^4 + 37250*T1^7*T2^4 - 
      5866*T1^8*T2^4 - 6153*T1^9*T2^4 + 3093*T1^10*T2^4 - 376*T1^11*T2^4 - 
      81*T1^12*T2^4 + 320*T2^5 + 32*T1*T2^5 - 5422*T1^2*T2^5 + 
      15141*T1^3*T2^5 + 3170*T1^4*T2^5 - 70636*T1^5*T2^5 + 84911*T1^6*T2^5 - 
      22913*T1^7*T2^5 - 42372*T1^8*T2^5 + 30650*T1^9*T2^5 - 5419*T1^10*T2^5 - 
      1390*T1^11*T2^5 + 648*T1^12*T2^5 - 150*T2^6 - 848*T1*T2^6 + 
      4625*T1^2*T2^6 - 1611*T1^3*T2^6 - 37510*T1^4*T2^6 + 84911*T1^5*T2^6 - 
      10804*T1^6*T2^6 - 105766*T1^7*T2^6 + 127588*T1^8*T2^6 - 
      34929*T1^9*T2^6 - 13062*T1^10*T2^6 + 9429*T1^11*T2^6 - 
      1499*T1^12*T2^6 - 240*T1^13*T2^6 + 30*T1^14*T2^6 + 40*T2^7 + 
      640*T1*T2^7 - 727*T1^2*T2^7 - 9641*T1^3*T2^7 + 37250*T1^4*T2^7 - 
      22913*T1^5*T2^7 - 105766*T1^6*T2^7 + 172430*T1^7*T2^7 - 
      82906*T1^8*T2^7 - 54790*T1^9*T2^7 + 60879*T1^10*T2^7 - 
      16630*T1^11*T2^7 - 1161*T1^12*T2^7 + 1433*T1^13*T2^7 - 112*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 802*T1^2*T2^8 + 6114*T1^3*T2^8 - 
      5866*T1^4*T2^8 - 42372*T1^5*T2^8 + 127588*T1^6*T2^8 - 82906*T1^7*T2^8 - 
      66516*T1^8*T2^8 + 144358*T1^9*T2^8 - 67500*T1^10*T2^8 - 
      4612*T1^11*T2^8 + 12670*T1^12*T2^8 - 3486*T1^13*T2^8 - 34*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 464*T1^2*T2^9 - 
      967*T1^3*T2^9 - 6153*T1^4*T2^9 + 30650*T1^5*T2^9 - 34929*T1^6*T2^9 - 
      54790*T1^7*T2^9 + 144358*T1^8*T2^9 - 110978*T1^9*T2^9 - 
      3814*T1^10*T2^9 + 48863*T1^11*T2^9 - 23230*T1^12*T2^9 + 
      2327*T1^13*T2^9 + 1193*T1^14*T2^9 - 288*T1^15*T2^9 - 24*T1^16*T2^9 - 
      90*T1^2*T2^10 - 304*T1^3*T2^10 + 3093*T1^4*T2^10 - 5419*T1^5*T2^10 - 
      13062*T1^6*T2^10 + 60879*T1^7*T2^10 - 67500*T1^8*T2^10 - 
      3814*T1^9*T2^10 + 70892*T1^10*T2^10 - 58961*T1^11*T2^10 + 
      11386*T1^12*T2^10 + 5621*T1^13*T2^10 - 3031*T1^14*T2^10 + 
      304*T1^15*T2^10 + 90*T1^16*T2^10 + 128*T1^3*T2^11 - 376*T1^4*T2^11 - 
      1390*T1^5*T2^11 + 9429*T1^6*T2^11 - 16630*T1^7*T2^11 - 
      4612*T1^8*T2^11 + 48863*T1^9*T2^11 - 58961*T1^10*T2^11 + 
      23652*T1^11*T2^11 + 10850*T1^12*T2^11 - 11131*T1^13*T2^11 + 
      2642*T1^14*T2^11 + 240*T1^15*T2^11 - 192*T1^16*T2^11 - 81*T1^4*T2^12 + 
      648*T1^5*T2^12 - 1499*T1^6*T2^12 - 1161*T1^7*T2^12 + 12670*T1^8*T2^12 - 
      23230*T1^9*T2^12 + 11386*T1^10*T2^12 + 10850*T1^11*T2^12 - 
      18754*T1^12*T2^12 + 7799*T1^13*T2^12 + 29*T1^14*T2^12 - 
      920*T1^15*T2^12 + 243*T1^16*T2^12 - 240*T1^6*T2^13 + 1433*T1^7*T2^13 - 
      3486*T1^8*T2^13 + 2327*T1^9*T2^13 + 5621*T1^10*T2^13 - 
      11131*T1^11*T2^13 + 7799*T1^12*T2^13 - 126*T1^13*T2^13 - 
      2167*T1^14*T2^13 + 1056*T1^15*T2^13 - 192*T1^16*T2^13 + 30*T1^6*T2^14 - 
      112*T1^7*T2^14 - 34*T1^8*T2^14 + 1193*T1^9*T2^14 - 3031*T1^10*T2^14 + 
      2642*T1^11*T2^14 + 29*T1^12*T2^14 - 2167*T1^13*T2^14 + 
      1706*T1^14*T2^14 - 592*T1^15*T2^14 + 90*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 288*T1^9*T2^15 + 304*T1^10*T2^15 + 240*T1^11*T2^15 - 
      920*T1^12*T2^15 + 1056*T1^13*T2^15 - 592*T1^14*T2^15 + 
      176*T1^15*T2^15 - 24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 
      90*T1^10*T2^16 - 192*T1^11*T2^16 + 243*T1^12*T2^16 - 192*T1^13*T2^16 + 
      90*T1^14*T2^16 - 24*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 481] -> 
  {(2 - 13*T + 28*T^2 - 33*T^3 + 28*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-17 + 111*T1 - 240*T1^2 + 283*T1^3 - 240*T1^4 + 111*T1^5 - 17*T1^6 + 
     111*T2 - 666*T1*T2 + 1181*T1^2*T2 - 1009*T1^3*T2 + 577*T1^4*T2 + 
     115*T1^5*T2 - 276*T1^6*T2 + 59*T1^7*T2 - 240*T2^2 + 1181*T1*T2^2 - 
     829*T1^2*T2^2 - 1490*T1^3*T2^2 + 2943*T1^4*T2^2 - 3730*T1^5*T2^2 + 
     2083*T1^6*T2^2 - 275*T1^7*T2^2 - 16*T1^8*T2^2 + 283*T2^3 - 
     1009*T1*T2^3 - 1490*T1^2*T2^3 + 6348*T1^3*T2^3 - 7465*T1^4*T2^3 + 
     6621*T1^5*T2^3 - 1646*T1^6*T2^3 - 1574*T1^7*T2^3 + 837*T1^8*T2^3 - 
     113*T1^9*T2^3 - 240*T2^4 + 577*T1*T2^4 + 2943*T1^2*T2^4 - 
     7465*T1^3*T2^4 + 5411*T1^4*T2^4 - 1359*T1^5*T2^4 - 5925*T1^6*T2^4 + 
     7451*T1^7*T2^4 - 1939*T1^8*T2^4 - 619*T1^9*T2^4 + 208*T1^10*T2^4 + 
     111*T2^5 + 115*T1*T2^5 - 3730*T1^2*T2^5 + 6621*T1^3*T2^5 - 
     1359*T1^4*T2^5 - 4430*T1^5*T2^5 + 9112*T1^6*T2^5 - 4663*T1^7*T2^5 - 
     5805*T1^8*T2^5 + 4978*T1^9*T2^5 - 379*T1^10*T2^5 - 149*T1^11*T2^5 - 
     17*T2^6 - 276*T1*T2^6 + 2083*T1^2*T2^6 - 1646*T1^3*T2^6 - 
     5925*T1^4*T2^6 + 9112*T1^5*T2^6 - 4680*T1^6*T2^6 - 4984*T1^7*T2^6 + 
     13207*T1^8*T2^6 - 3894*T1^9*T2^6 - 2897*T1^10*T2^6 + 764*T1^11*T2^6 + 
     31*T1^12*T2^6 + 59*T1*T2^7 - 275*T1^2*T2^7 - 1574*T1^3*T2^7 + 
     7451*T1^4*T2^7 - 4663*T1^5*T2^7 - 4984*T1^6*T2^7 + 8558*T1^7*T2^7 - 
     7967*T1^8*T2^7 - 4975*T1^9*T2^7 + 7134*T1^10*T2^7 - 769*T1^11*T2^7 - 
     201*T1^12*T2^7 - 16*T1^2*T2^8 + 837*T1^3*T2^8 - 1939*T1^4*T2^8 - 
     5805*T1^5*T2^8 + 13207*T1^6*T2^8 - 7967*T1^7*T2^8 + 1871*T1^8*T2^8 + 
     9111*T1^9*T2^8 - 6821*T1^10*T2^8 - 359*T1^11*T2^8 + 432*T1^12*T2^8 - 
     113*T1^3*T2^9 - 619*T1^4*T2^9 + 4978*T1^5*T2^9 - 3894*T1^6*T2^9 - 
     4975*T1^7*T2^9 + 9111*T1^8*T2^9 - 11888*T1^9*T2^9 + 4894*T1^10*T2^9 + 
     1227*T1^11*T2^9 - 509*T1^12*T2^9 + 208*T1^4*T2^10 - 379*T1^5*T2^10 - 
     2897*T1^6*T2^10 + 7134*T1^7*T2^10 - 6821*T1^8*T2^10 + 4894*T1^9*T2^10 + 
     15*T1^10*T2^10 - 1835*T1^11*T2^10 + 432*T1^12*T2^10 - 149*T1^5*T2^11 + 
     764*T1^6*T2^11 - 769*T1^7*T2^11 - 359*T1^8*T2^11 + 1227*T1^9*T2^11 - 
     1835*T1^10*T2^11 + 1154*T1^11*T2^11 - 201*T1^12*T2^11 + 31*T1^6*T2^12 - 
     201*T1^7*T2^12 + 432*T1^8*T2^12 - 509*T1^9*T2^12 + 432*T1^10*T2^12 - 
     201*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 482] -> {(4 - 23*T + 39*T^2 - 23*T^3 + 4*T^4)/T^2, 
   (-128 + 732*T1 - 1240*T1^2 + 732*T1^3 - 128*T1^4 + 732*T2 - 3818*T1*T2 + 
     5016*T1^2*T2 - 688*T1^3*T2 - 1334*T1^4*T2 + 364*T1^5*T2 - 1240*T2^2 + 
     5016*T1*T2^2 - 166*T1^2*T2^2 - 13030*T1^3*T2^2 + 10754*T1^4*T2^2 - 
     2160*T1^5*T2^2 + 8*T1^6*T2^2 + 732*T2^3 - 688*T1*T2^3 - 
     13030*T1^2*T2^3 + 29977*T1^3*T2^3 - 18185*T1^4*T2^3 + 425*T1^5*T2^3 + 
     2072*T1^6*T2^3 - 372*T1^7*T2^3 - 128*T2^4 - 1334*T1*T2^4 + 
     10754*T1^2*T2^4 - 18185*T1^3*T2^4 + 1128*T1^4*T2^4 + 17373*T1^5*T2^4 - 
     11084*T1^6*T2^4 + 1426*T1^7*T2^4 + 128*T1^8*T2^4 + 364*T1*T2^5 - 
     2160*T1^2*T2^5 + 425*T1^3*T2^5 + 17373*T1^4*T2^5 - 30789*T1^5*T2^5 + 
     13880*T1^6*T2^5 + 600*T1^7*T2^5 - 740*T1^8*T2^5 + 8*T1^2*T2^6 + 
     2072*T1^3*T2^6 - 11084*T1^4*T2^6 + 13880*T1^5*T2^6 - 164*T1^6*T2^6 - 
     5104*T1^7*T2^6 + 1256*T1^8*T2^6 - 372*T1^3*T2^7 + 1426*T1^4*T2^7 + 
     600*T1^5*T2^7 - 5104*T1^6*T2^7 + 3910*T1^7*T2^7 - 740*T1^8*T2^7 + 
     128*T1^4*T2^8 - 740*T1^5*T2^8 + 1256*T1^6*T2^8 - 740*T1^7*T2^8 + 
     128*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 483] -> 
  {-(((1 - 3*T + T^2)*(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6))/
     T^4), -((-3 + 27*T1 - 105*T1^2 + 225*T1^3 - 285*T1^4 + 225*T1^5 - 
      105*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 783*T1^2*T2 - 
      1395*T1^3*T2 + 1215*T1^4*T2 - 315*T1^5*T2 - 405*T1^6*T2 + 387*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 105*T2^2 + 783*T1*T2^2 - 2251*T1^2*T2^2 + 
      2519*T1^3*T2^2 + 945*T1^4*T2^2 - 4881*T1^5*T2^2 + 5145*T1^6*T2^2 - 
      2101*T1^7*T2^2 + 129*T1^8*T2^2 + 153*T1^9*T2^2 - 35*T1^10*T2^2 + 
      225*T2^3 - 1395*T1*T2^3 + 2519*T1^2*T2^3 + 2314*T1^3*T2^3 - 
      14770*T1^4*T2^3 + 19302*T1^5*T2^3 - 9498*T1^6*T2^3 - 3520*T1^7*T2^3 + 
      5554*T1^8*T2^3 - 2206*T1^9*T2^3 + 315*T1^10*T2^3 - 285*T2^4 + 
      1215*T1*T2^4 + 945*T1^2*T2^4 - 14770*T1^3*T2^4 + 31376*T1^4*T2^4 - 
      16324*T1^5*T2^4 - 20980*T1^6*T2^4 + 39596*T1^7*T2^4 - 22004*T1^8*T2^4 + 
      2630*T1^9*T2^4 + 2095*T1^10*T2^4 - 855*T1^11*T2^4 + 95*T1^12*T2^4 + 
      225*T2^5 - 315*T1*T2^5 - 4881*T1^2*T2^5 + 19302*T1^3*T2^5 - 
      16324*T1^4*T2^5 - 42389*T1^5*T2^5 + 99568*T1^6*T2^5 - 81032*T1^7*T2^5 + 
      8101*T1^8*T2^5 + 27491*T1^9*T2^5 - 16098*T1^10*T2^5 + 2454*T1^11*T2^5 + 
      495*T1^12*T2^5 - 150*T1^13*T2^5 - 105*T2^6 - 405*T1*T2^6 + 
      5145*T1^2*T2^6 - 9498*T1^3*T2^6 - 20980*T1^4*T2^6 + 99568*T1^5*T2^6 - 
      115518*T1^6*T2^6 + 3542*T1^7*T2^6 + 112422*T1^8*T2^6 - 
      101282*T1^9*T2^6 + 22570*T1^10*T2^6 + 9402*T1^11*T2^6 - 
      5155*T1^12*T2^6 + 405*T1^13*T2^6 + 105*T1^14*T2^6 + 27*T2^7 + 
      387*T1*T2^7 - 2101*T1^2*T2^7 - 3520*T1^3*T2^7 + 39596*T1^4*T2^7 - 
      81032*T1^5*T2^7 + 3542*T1^6*T2^7 + 181432*T1^7*T2^7 - 
      232238*T1^8*T2^7 + 85787*T1^9*T2^7 + 59068*T1^10*T2^7 - 
      52639*T1^11*T2^7 + 9830*T1^12*T2^7 + 1994*T1^13*T2^7 - 621*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 129*T1^2*T2^8 + 5554*T1^3*T2^8 - 
      22004*T1^4*T2^8 + 8101*T1^5*T2^8 + 112422*T1^6*T2^8 - 
      232238*T1^7*T2^8 + 104364*T1^8*T2^8 + 135814*T1^9*T2^8 - 
      205648*T1^10*T2^8 + 68671*T1^11*T2^8 + 12556*T1^12*T2^8 - 
      10886*T1^13*T2^8 + 935*T1^14*T2^8 + 279*T1^15*T2^8 + 5*T1^16*T2^8 + 
      18*T1*T2^9 + 153*T1^2*T2^9 - 2206*T1^3*T2^9 + 2630*T1^4*T2^9 + 
      27491*T1^5*T2^9 - 101282*T1^6*T2^9 + 85787*T1^7*T2^9 + 
      135814*T1^8*T2^9 - 277856*T1^9*T2^9 + 168032*T1^10*T2^9 + 
      38818*T1^11*T2^9 - 64744*T1^12*T2^9 + 15980*T1^13*T2^9 + 
      1889*T1^14*T2^9 - 855*T1^15*T2^9 - 45*T1^16*T2^9 - 35*T1^2*T2^10 + 
      315*T1^3*T2^10 + 2095*T1^4*T2^10 - 16098*T1^5*T2^10 + 
      22570*T1^6*T2^10 + 59068*T1^7*T2^10 - 205648*T1^8*T2^10 + 
      168032*T1^9*T2^10 + 22292*T1^10*T2^10 - 141782*T1^11*T2^10 + 
      66120*T1^12*T2^10 + 2802*T1^13*T2^10 - 8205*T1^14*T2^10 + 
      1125*T1^15*T2^10 + 175*T1^16*T2^10 - 855*T1^4*T2^11 + 2454*T1^5*T2^11 + 
      9402*T1^6*T2^11 - 52639*T1^7*T2^11 + 68671*T1^8*T2^11 + 
      38818*T1^9*T2^11 - 141782*T1^10*T2^11 + 119161*T1^11*T2^11 - 
      8824*T1^12*T2^11 - 25998*T1^13*T2^11 + 9789*T1^14*T2^11 - 
      45*T1^15*T2^11 - 375*T1^16*T2^11 + 95*T1^4*T2^12 + 495*T1^5*T2^12 - 
      5155*T1^6*T2^12 + 9830*T1^7*T2^12 + 12556*T1^8*T2^12 - 
      64744*T1^9*T2^12 + 66120*T1^10*T2^12 - 8824*T1^11*T2^12 - 
      40824*T1^12*T2^12 + 27230*T1^13*T2^12 - 4005*T1^14*T2^12 - 
      1575*T1^15*T2^12 + 475*T1^16*T2^12 - 150*T1^5*T2^13 + 405*T1^6*T2^13 + 
      1994*T1^7*T2^13 - 10886*T1^8*T2^13 + 15980*T1^9*T2^13 + 
      2802*T1^10*T2^13 - 25998*T1^11*T2^13 + 27230*T1^12*T2^13 - 
      7646*T1^13*T2^13 - 2731*T1^14*T2^13 + 2115*T1^15*T2^13 - 
      375*T1^16*T2^13 + 105*T1^6*T2^14 - 621*T1^7*T2^14 + 935*T1^8*T2^14 + 
      1889*T1^9*T2^14 - 8205*T1^10*T2^14 + 9789*T1^11*T2^14 - 
      4005*T1^12*T2^14 - 2731*T1^13*T2^14 + 3315*T1^14*T2^14 - 
      1251*T1^15*T2^14 + 175*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      855*T1^9*T2^15 + 1125*T1^10*T2^15 - 45*T1^11*T2^15 - 1575*T1^12*T2^15 + 
      2115*T1^13*T2^15 - 1251*T1^14*T2^15 + 369*T1^15*T2^15 - 
      45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 175*T1^10*T2^16 - 
      375*T1^11*T2^16 + 475*T1^12*T2^16 - 375*T1^13*T2^16 + 175*T1^14*T2^16 - 
      45*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 484] -> 
  {((1 - 4*T + 6*T^2 - 5*T^3 + T^4)*(1 - 5*T + 6*T^2 - 4*T^3 + T^4))/T^4, 
   (-4 + 36*T1 - 128*T1^2 + 252*T1^3 - 316*T1^4 + 252*T1^5 - 128*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 910*T1^2*T2 - 1407*T1^3*T2 + 
     1145*T1^4*T2 - 133*T1^5*T2 - 552*T1^6*T2 + 541*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 128*T2^2 + 910*T1*T2^2 - 1987*T1^2*T2^2 + 904*T1^3*T2^2 + 
     3098*T1^4*T2^2 - 7053*T1^5*T2^2 + 6106*T1^6*T2^2 - 2552*T1^7*T2^2 - 
     3*T1^8*T2^2 + 334*T1^9*T2^2 - 64*T1^10*T2^2 + 252*T2^3 - 1407*T1*T2^3 + 
     904*T1^2*T2^3 + 6563*T1^3*T2^3 - 16595*T1^4*T2^3 + 18096*T1^5*T2^3 - 
     4845*T1^6*T2^3 - 5867*T1^7*T2^3 + 6851*T1^8*T2^3 - 2264*T1^9*T2^3 + 
     6*T1^10*T2^3 + 63*T1^11*T2^3 - 316*T2^4 + 1145*T1*T2^4 + 
     3098*T1^2*T2^4 - 16595*T1^3*T2^4 + 21840*T1^4*T2^4 - 3824*T1^5*T2^4 - 
     28764*T1^6*T2^4 + 32410*T1^7*T2^4 - 14748*T1^8*T2^4 - 1349*T1^9*T2^4 + 
     3004*T1^10*T2^4 - 565*T1^11*T2^4 + 252*T2^5 - 133*T1*T2^5 - 
     7053*T1^2*T2^5 + 18096*T1^3*T2^5 - 3824*T1^4*T2^5 - 36472*T1^5*T2^5 + 
     65592*T1^6*T2^5 - 30960*T1^7*T2^5 - 12496*T1^8*T2^5 + 25147*T1^9*T2^5 - 
     10155*T1^10*T2^5 + 48*T1^11*T2^5 + 569*T1^12*T2^5 - 63*T1^13*T2^5 - 
     128*T2^6 - 552*T1*T2^6 + 6106*T1^2*T2^6 - 4845*T1^3*T2^6 - 
     28764*T1^4*T2^6 + 65592*T1^5*T2^6 - 52293*T1^6*T2^6 - 29397*T1^7*T2^6 + 
     68819*T1^8*T2^6 - 42624*T1^9*T2^6 + 256*T1^10*T2^6 + 10131*T1^11*T2^6 - 
     3106*T1^12*T2^6 - 12*T1^13*T2^6 + 64*T1^14*T2^6 + 36*T2^7 + 
     541*T1*T2^7 - 2552*T1^2*T2^7 - 5867*T1^3*T2^7 + 32410*T1^4*T2^7 - 
     30960*T1^5*T2^7 - 29397*T1^6*T2^7 + 106594*T1^7*T2^7 - 83990*T1^8*T2^7 + 
     1338*T1^9*T2^7 + 42264*T1^10*T2^7 - 25613*T1^11*T2^7 + 1477*T1^12*T2^7 + 
     2344*T1^13*T2^7 - 332*T1^14*T2^7 - 27*T1^15*T2^7 - 4*T2^8 - 
     207*T1*T2^8 - 3*T1^2*T2^8 + 6851*T1^3*T2^8 - 14748*T1^4*T2^8 - 
     12496*T1^5*T2^8 + 68819*T1^6*T2^8 - 83990*T1^7*T2^8 + 912*T1^8*T2^8 + 
     82906*T1^9*T2^8 - 70707*T1^10*T2^8 + 13424*T1^11*T2^8 + 
     14896*T1^12*T2^8 - 7027*T1^13*T2^8 - 25*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 334*T1^2*T2^9 - 2264*T1^3*T2^9 - 
     1349*T1^4*T2^9 + 25147*T1^5*T2^9 - 42624*T1^6*T2^9 + 1338*T1^7*T2^9 + 
     82906*T1^8*T2^9 - 107678*T1^9*T2^9 + 32073*T1^10*T2^9 + 
     30600*T1^11*T2^9 - 32876*T1^12*T2^9 + 5995*T1^13*T2^9 + 
     2632*T1^14*T2^9 - 539*T1^15*T2^9 - 36*T1^16*T2^9 - 64*T1^2*T2^10 + 
     6*T1^3*T2^10 + 3004*T1^4*T2^10 - 10155*T1^5*T2^10 + 256*T1^6*T2^10 + 
     42264*T1^7*T2^10 - 70707*T1^8*T2^10 + 32073*T1^9*T2^10 + 
     50405*T1^10*T2^10 - 65952*T1^11*T2^10 + 29276*T1^12*T2^10 + 
     4821*T1^13*T2^10 - 6208*T1^14*T2^10 + 546*T1^15*T2^10 + 
     128*T1^16*T2^10 + 63*T1^3*T2^11 - 565*T1^4*T2^11 + 48*T1^5*T2^11 + 
     10131*T1^6*T2^11 - 25613*T1^7*T2^11 + 13424*T1^8*T2^11 + 
     30600*T1^9*T2^11 - 65952*T1^10*T2^11 + 37400*T1^11*T2^11 + 
     3358*T1^12*T2^11 - 18120*T1^13*T2^11 + 7149*T1^14*T2^11 + 
     137*T1^15*T2^11 - 252*T1^16*T2^11 + 569*T1^5*T2^12 - 3106*T1^6*T2^12 + 
     1477*T1^7*T2^12 + 14896*T1^8*T2^12 - 32876*T1^9*T2^12 + 
     29276*T1^10*T2^12 + 3358*T1^11*T2^12 - 21692*T1^12*T2^12 + 
     16723*T1^13*T2^12 - 3200*T1^14*T2^12 - 1141*T1^15*T2^12 + 
     316*T1^16*T2^12 - 63*T1^5*T2^13 - 12*T1^6*T2^13 + 2344*T1^7*T2^13 - 
     7027*T1^8*T2^13 + 5995*T1^9*T2^13 + 4821*T1^10*T2^13 - 
     18120*T1^11*T2^13 + 16723*T1^12*T2^13 - 6739*T1^13*T2^13 - 
     824*T1^14*T2^13 + 1401*T1^15*T2^13 - 252*T1^16*T2^13 + 64*T1^6*T2^14 - 
     332*T1^7*T2^14 - 25*T1^8*T2^14 + 2632*T1^9*T2^14 - 6208*T1^10*T2^14 + 
     7149*T1^11*T2^14 - 3200*T1^12*T2^14 - 824*T1^13*T2^14 + 
     1959*T1^14*T2^14 - 908*T1^15*T2^14 + 128*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 539*T1^9*T2^15 + 546*T1^10*T2^15 + 137*T1^11*T2^15 - 
     1141*T1^12*T2^15 + 1401*T1^13*T2^15 - 908*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     128*T1^10*T2^16 - 252*T1^11*T2^16 + 316*T1^12*T2^16 - 252*T1^13*T2^16 + 
     128*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 485] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^4), 
   -((-3 + 24*T1 - 84*T1^2 + 168*T1^3 - 207*T1^4 + 168*T1^5 - 84*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 896*T1^3*T2 + 
      760*T1^4*T2 - 240*T1^5*T2 - 224*T1^6*T2 + 256*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1354*T1^2*T2^2 + 1330*T1^3*T2^2 + 
      626*T1^4*T2^2 - 2606*T1^5*T2^2 + 2922*T1^6*T2^2 - 1358*T1^7*T2^2 + 
      158*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 168*T2^3 - 896*T1*T2^3 + 
      1330*T1^2*T2^3 + 1424*T1^3*T2^3 - 7384*T1^4*T2^3 + 9018*T1^5*T2^3 - 
      4870*T1^6*T2^3 - 1504*T1^7*T2^3 + 2936*T1^8*T2^3 - 1358*T1^9*T2^3 + 
      224*T1^10*T2^3 - 207*T2^4 + 760*T1*T2^4 + 626*T1^2*T2^4 - 
      7384*T1^3*T2^4 + 14135*T1^4*T2^4 - 6386*T1^5*T2^4 - 8379*T1^6*T2^4 + 
      17102*T1^7*T2^4 - 10105*T1^8*T2^4 + 1352*T1^9*T2^4 + 1186*T1^10*T2^4 - 
      552*T1^11*T2^4 + 69*T1^12*T2^4 + 168*T2^5 - 240*T1*T2^5 - 
      2606*T1^2*T2^5 + 9018*T1^3*T2^5 - 6386*T1^4*T2^5 - 18354*T1^5*T2^5 + 
      36950*T1^6*T2^5 - 30026*T1^7*T2^5 + 1806*T1^8*T2^5 + 12238*T1^9*T2^5 - 
      7558*T1^10*T2^5 + 1234*T1^11*T2^5 + 344*T1^12*T2^5 - 112*T1^13*T2^5 - 
      84*T2^6 - 224*T1*T2^6 + 2922*T1^2*T2^6 - 4870*T1^3*T2^6 - 
      8379*T1^4*T2^6 + 36950*T1^5*T2^6 - 35172*T1^6*T2^6 - 3402*T1^7*T2^6 + 
      41772*T1^8*T2^6 - 36074*T1^9*T2^6 + 7189*T1^10*T2^6 + 4986*T1^11*T2^6 - 
      2846*T1^12*T2^6 + 224*T1^13*T2^6 + 84*T1^14*T2^6 + 24*T2^7 + 
      256*T1*T2^7 - 1358*T1^2*T2^7 - 1504*T1^3*T2^7 + 17102*T1^4*T2^7 - 
      30026*T1^5*T2^7 - 3402*T1^6*T2^7 + 58620*T1^7*T2^7 - 69060*T1^8*T2^7 + 
      21238*T1^9*T2^7 + 24854*T1^10*T2^7 - 20978*T1^11*T2^7 + 
      4040*T1^12*T2^7 + 1330*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 158*T1^2*T2^8 + 2936*T1^3*T2^8 - 
      10105*T1^4*T2^8 + 1806*T1^5*T2^8 + 41772*T1^6*T2^8 - 69060*T1^7*T2^8 + 
      21900*T1^8*T2^8 + 47868*T1^9*T2^8 - 67316*T1^10*T2^8 + 
      21582*T1^11*T2^8 + 6575*T1^12*T2^8 - 5576*T1^13*T2^8 + 446*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 
      1358*T1^3*T2^9 + 1352*T1^4*T2^9 + 12238*T1^5*T2^9 - 36074*T1^6*T2^9 + 
      21238*T1^7*T2^9 + 47868*T1^8*T2^9 - 79812*T1^9*T2^9 + 
      45878*T1^10*T2^9 + 18806*T1^11*T2^9 - 25842*T1^12*T2^9 + 
      6896*T1^13*T2^9 + 1330*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 
      28*T1^2*T2^10 + 224*T1^3*T2^10 + 1186*T1^4*T2^10 - 7558*T1^5*T2^10 + 
      7189*T1^6*T2^10 + 24854*T1^7*T2^10 - 67316*T1^8*T2^10 + 
      45878*T1^9*T2^10 + 9628*T1^10*T2^10 - 48170*T1^11*T2^10 + 
      22757*T1^12*T2^10 + 2298*T1^13*T2^10 - 4582*T1^14*T2^10 + 
      672*T1^15*T2^10 + 140*T1^16*T2^10 - 552*T1^4*T2^11 + 1234*T1^5*T2^11 + 
      4986*T1^6*T2^11 - 20978*T1^7*T2^11 + 21582*T1^8*T2^11 + 
      18806*T1^9*T2^11 - 48170*T1^10*T2^11 + 41742*T1^11*T2^11 - 
      2354*T1^12*T2^11 - 11590*T1^13*T2^11 + 5074*T1^14*T2^11 + 
      32*T1^15*T2^11 - 280*T1^16*T2^11 + 69*T1^4*T2^12 + 344*T1^5*T2^12 - 
      2846*T1^6*T2^12 + 4040*T1^7*T2^12 + 6575*T1^8*T2^12 - 
      25842*T1^9*T2^12 + 22757*T1^10*T2^12 - 2354*T1^11*T2^12 - 
      17665*T1^12*T2^12 + 12776*T1^13*T2^12 - 2286*T1^14*T2^12 - 
      968*T1^15*T2^12 + 345*T1^16*T2^12 - 112*T1^5*T2^13 + 224*T1^6*T2^13 + 
      1330*T1^7*T2^13 - 5576*T1^8*T2^13 + 6896*T1^9*T2^13 + 
      2298*T1^10*T2^13 - 11590*T1^11*T2^13 + 12776*T1^12*T2^13 - 
      4064*T1^13*T2^13 - 1358*T1^14*T2^13 + 1344*T1^15*T2^13 - 
      280*T1^16*T2^13 + 84*T1^6*T2^14 - 416*T1^7*T2^14 + 446*T1^8*T2^14 + 
      1330*T1^9*T2^14 - 4582*T1^10*T2^14 + 5074*T1^11*T2^14 - 
      2286*T1^12*T2^14 - 1358*T1^13*T2^14 + 1958*T1^14*T2^14 - 
      864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      576*T1^9*T2^15 + 672*T1^10*T2^15 + 32*T1^11*T2^15 - 968*T1^12*T2^15 + 
      1344*T1^13*T2^15 - 864*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 140*T1^10*T2^16 - 280*T1^11*T2^16 + 
      345*T1^12*T2^16 - 280*T1^13*T2^16 + 140*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 486] -> 
  {((1 - T + T^2)*(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6))/T^4, 
   (-4 + 36*T1 - 124*T1^2 + 236*T1^3 - 292*T1^4 + 236*T1^5 - 124*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 873*T1^2*T2 - 1287*T1^3*T2 + 
     1035*T1^4*T2 - 153*T1^5*T2 - 477*T1^6*T2 + 513*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 124*T2^2 + 873*T1*T2^2 - 1714*T1^2*T2^2 + 315*T1^3*T2^2 + 
     3420*T1^4*T2^2 - 6838*T1^5*T2^2 + 6024*T1^6*T2^2 - 2785*T1^7*T2^2 + 
     146*T1^8*T2^2 + 315*T1^9*T2^2 - 62*T1^10*T2^2 + 236*T2^3 - 
     1287*T1*T2^3 + 315*T1^2*T2^3 + 7170*T1^3*T2^3 - 15555*T1^4*T2^3 + 
     16172*T1^5*T2^3 - 4726*T1^6*T2^3 - 4959*T1^7*T2^3 + 6630*T1^8*T2^3 - 
     2382*T1^9*T2^3 + 27*T1^10*T2^3 + 59*T1^11*T2^3 - 292*T2^4 + 
     1035*T1*T2^4 + 3420*T1^2*T2^4 - 15555*T1^3*T2^4 + 17897*T1^4*T2^4 - 
     1689*T1^5*T2^4 - 24791*T1^6*T2^4 + 28315*T1^7*T2^4 - 14179*T1^8*T2^4 - 
     923*T1^9*T2^4 + 2914*T1^10*T2^4 - 531*T1^11*T2^4 + 236*T2^5 - 
     153*T1*T2^5 - 6838*T1^2*T2^5 + 16172*T1^3*T2^5 - 1689*T1^4*T2^5 - 
     30315*T1^5*T2^5 + 51367*T1^6*T2^5 - 24471*T1^7*T2^5 - 9627*T1^8*T2^5 + 
     21876*T1^9*T2^5 - 9234*T1^10*T2^5 - 73*T1^11*T2^5 + 531*T1^12*T2^5 - 
     59*T1^13*T2^5 - 124*T2^6 - 477*T1*T2^6 + 6024*T1^2*T2^6 - 
     4726*T1^3*T2^6 - 24791*T1^4*T2^6 + 51367*T1^5*T2^6 - 38389*T1^6*T2^6 - 
     22123*T1^7*T2^6 + 51083*T1^8*T2^6 - 32979*T1^9*T2^6 - 749*T1^10*T2^6 + 
     9410*T1^11*T2^6 - 2800*T1^12*T2^6 - 27*T1^13*T2^6 + 62*T1^14*T2^6 + 
     36*T2^7 + 513*T1*T2^7 - 2785*T1^2*T2^7 - 4959*T1^3*T2^7 + 
     28315*T1^4*T2^7 - 24471*T1^5*T2^7 - 22123*T1^6*T2^7 + 74302*T1^7*T2^7 - 
     55562*T1^8*T2^7 - 2680*T1^9*T2^7 + 34351*T1^10*T2^7 - 21006*T1^11*T2^7 + 
     589*T1^12*T2^7 + 2330*T1^13*T2^7 - 315*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 146*T1^2*T2^8 + 6630*T1^3*T2^8 - 
     14179*T1^4*T2^8 - 9627*T1^5*T2^8 + 51083*T1^6*T2^8 - 55562*T1^7*T2^8 - 
     4164*T1^8*T2^8 + 59150*T1^9*T2^8 - 48675*T1^10*T2^8 + 7443*T1^11*T2^8 + 
     14237*T1^12*T2^8 - 6410*T1^13*T2^8 - 136*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 315*T1^2*T2^9 - 2382*T1^3*T2^9 - 
     923*T1^4*T2^9 + 21876*T1^5*T2^9 - 32979*T1^6*T2^9 - 2680*T1^7*T2^9 + 
     59150*T1^8*T2^9 - 70714*T1^9*T2^9 + 16763*T1^10*T2^9 + 
     25843*T1^11*T2^9 - 27445*T1^12*T2^9 + 4625*T1^13*T2^9 + 
     2733*T1^14*T2^9 - 513*T1^15*T2^9 - 36*T1^16*T2^9 - 62*T1^2*T2^10 + 
     27*T1^3*T2^10 + 2914*T1^4*T2^10 - 9234*T1^5*T2^10 - 749*T1^6*T2^10 + 
     34351*T1^7*T2^10 - 48675*T1^8*T2^10 + 16763*T1^9*T2^10 + 
     40797*T1^10*T2^10 - 49995*T1^11*T2^10 + 23293*T1^12*T2^10 + 
     4902*T1^13*T2^10 - 5910*T1^14*T2^10 + 477*T1^15*T2^10 + 
     124*T1^16*T2^10 + 59*T1^3*T2^11 - 531*T1^4*T2^11 - 73*T1^5*T2^11 + 
     9410*T1^6*T2^11 - 21006*T1^7*T2^11 + 7443*T1^8*T2^11 + 
     25843*T1^9*T2^11 - 49995*T1^10*T2^11 + 28131*T1^11*T2^11 + 
     2559*T1^12*T2^11 - 15996*T1^13*T2^11 + 6692*T1^14*T2^11 + 
     153*T1^15*T2^11 - 236*T1^16*T2^11 + 531*T1^5*T2^12 - 2800*T1^6*T2^12 + 
     589*T1^7*T2^12 + 14237*T1^8*T2^12 - 27445*T1^9*T2^12 + 
     23293*T1^10*T2^12 + 2559*T1^11*T2^12 - 17839*T1^12*T2^12 + 
     15221*T1^13*T2^12 - 3306*T1^14*T2^12 - 1035*T1^15*T2^12 + 
     292*T1^16*T2^12 - 59*T1^5*T2^13 - 27*T1^6*T2^13 + 2330*T1^7*T2^13 - 
     6410*T1^8*T2^13 + 4625*T1^9*T2^13 + 4902*T1^10*T2^13 - 
     15996*T1^11*T2^13 + 15221*T1^12*T2^13 - 6950*T1^13*T2^13 - 
     367*T1^14*T2^13 + 1287*T1^15*T2^13 - 236*T1^16*T2^13 + 62*T1^6*T2^14 - 
     315*T1^7*T2^14 - 136*T1^8*T2^14 + 2733*T1^9*T2^14 - 5910*T1^10*T2^14 + 
     6692*T1^11*T2^14 - 3306*T1^12*T2^14 - 367*T1^13*T2^14 + 
     1724*T1^14*T2^14 - 873*T1^15*T2^14 + 124*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 513*T1^9*T2^15 + 477*T1^10*T2^15 + 153*T1^11*T2^15 - 
     1035*T1^12*T2^15 + 1287*T1^13*T2^15 - 873*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     124*T1^10*T2^16 - 236*T1^11*T2^16 + 292*T1^12*T2^16 - 236*T1^13*T2^16 + 
     124*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 487] -> 
  {-((1 - 8*T + 29*T^2 - 58*T^3 + 71*T^4 - 58*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 87*T1^2 + 174*T1^3 - 213*T1^4 + 174*T1^5 - 
      87*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 568*T1^2*T2 - 
      928*T1^3*T2 + 776*T1^4*T2 - 256*T1^5*T2 - 232*T1^6*T2 + 272*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 87*T2^2 + 568*T1*T2^2 - 1529*T1^2*T2^2 + 
      1580*T1^3*T2^2 + 359*T1^4*T2^2 - 2295*T1^5*T2^2 + 2795*T1^6*T2^2 - 
      1320*T1^7*T2^2 + 95*T1^8*T2^2 + 104*T1^9*T2^2 - 29*T1^10*T2^2 + 
      174*T2^3 - 928*T1*T2^3 + 1580*T1^2*T2^3 + 1404*T1^3*T2^3 - 
      7603*T1^4*T2^3 + 9272*T1^5*T2^3 - 5518*T1^6*T2^3 - 1165*T1^7*T2^3 + 
      3086*T1^8*T2^3 - 1378*T1^9*T2^3 + 232*T1^10*T2^3 - 213*T2^4 + 
      776*T1*T2^4 + 359*T1^2*T2^4 - 7603*T1^3*T2^4 + 14220*T1^4*T2^4 - 
      5999*T1^5*T2^4 - 8774*T1^6*T2^4 + 18777*T1^7*T2^4 - 12300*T1^8*T2^4 + 
      1909*T1^9*T2^4 + 1171*T1^10*T2^4 - 568*T1^11*T2^4 + 71*T1^12*T2^4 + 
      174*T2^5 - 256*T1*T2^5 - 2295*T1^2*T2^5 + 9272*T1^3*T2^5 - 
      5999*T1^4*T2^5 - 20290*T1^5*T2^5 + 41545*T1^6*T2^5 - 37915*T1^7*T2^5 + 
      8538*T1^8*T2^5 + 11713*T1^9*T2^5 - 8186*T1^10*T2^5 + 1245*T1^11*T2^5 + 
      360*T1^12*T2^5 - 116*T1^13*T2^5 - 87*T2^6 - 232*T1*T2^6 + 
      2795*T1^2*T2^6 - 5518*T1^3*T2^6 - 8774*T1^4*T2^6 + 41545*T1^5*T2^6 - 
      45753*T1^6*T2^6 + 7471*T1^7*T2^6 + 39275*T1^8*T2^6 - 44527*T1^9*T2^6 + 
      11236*T1^10*T2^6 + 5270*T1^11*T2^6 - 2889*T1^12*T2^6 + 232*T1^13*T2^6 + 
      87*T1^14*T2^6 + 24*T2^7 + 272*T1*T2^7 - 1320*T1^2*T2^7 - 
      1165*T1^3*T2^7 + 18777*T1^4*T2^7 - 37915*T1^5*T2^7 + 7471*T1^6*T2^7 + 
      56694*T1^7*T2^7 - 77942*T1^8*T2^7 + 33919*T1^9*T2^7 + 
      28321*T1^10*T2^7 - 27191*T1^11*T2^7 + 4693*T1^12*T2^7 + 
      1290*T1^13*T2^7 - 440*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 95*T1^2*T2^8 + 3086*T1^3*T2^8 - 12300*T1^4*T2^8 + 
      8538*T1^5*T2^8 + 39275*T1^6*T2^8 - 77942*T1^7*T2^8 + 30420*T1^8*T2^8 + 
      47122*T1^9*T2^8 - 83685*T1^10*T2^8 + 28610*T1^11*T2^8 + 
      9728*T1^12*T2^8 - 6426*T1^13*T2^8 + 619*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 104*T1^2*T2^9 - 1378*T1^3*T2^9 + 
      1909*T1^4*T2^9 + 11713*T1^5*T2^9 - 44527*T1^6*T2^9 + 33919*T1^7*T2^9 + 
      47122*T1^8*T2^9 - 87514*T1^9*T2^9 + 60367*T1^10*T2^9 + 
      21709*T1^11*T2^9 - 34255*T1^12*T2^9 + 7767*T1^13*T2^9 + 
      1232*T1^14*T2^9 - 608*T1^15*T2^9 - 40*T1^16*T2^9 - 29*T1^2*T2^10 + 
      232*T1^3*T2^10 + 1171*T1^4*T2^10 - 8186*T1^5*T2^10 + 11236*T1^6*T2^10 + 
      28321*T1^7*T2^10 - 83685*T1^8*T2^10 + 60367*T1^9*T2^10 + 
      1343*T1^10*T2^10 - 57751*T1^11*T2^10 + 31246*T1^12*T2^10 + 
      2602*T1^13*T2^10 - 4513*T1^14*T2^10 + 696*T1^15*T2^10 + 
      145*T1^16*T2^10 - 568*T1^4*T2^11 + 1245*T1^5*T2^11 + 5270*T1^6*T2^11 - 
      27191*T1^7*T2^11 + 28610*T1^8*T2^11 + 21709*T1^9*T2^11 - 
      57751*T1^10*T2^11 + 57438*T1^11*T2^11 - 9479*T1^12*T2^11 - 
      12188*T1^13*T2^11 + 4785*T1^14*T2^11 + 48*T1^15*T2^11 - 
      290*T1^16*T2^11 + 71*T1^4*T2^12 + 360*T1^5*T2^12 - 2889*T1^6*T2^12 + 
      4693*T1^7*T2^12 + 9728*T1^8*T2^12 - 34255*T1^9*T2^12 + 
      31246*T1^10*T2^12 - 9479*T1^11*T2^12 - 16792*T1^12*T2^12 + 
      14205*T1^13*T2^12 - 2077*T1^14*T2^12 - 984*T1^15*T2^12 + 
      355*T1^16*T2^12 - 116*T1^5*T2^13 + 232*T1^6*T2^13 + 1290*T1^7*T2^13 - 
      6426*T1^8*T2^13 + 7767*T1^9*T2^13 + 2602*T1^10*T2^13 - 
      12188*T1^11*T2^13 + 14205*T1^12*T2^13 - 4744*T1^13*T2^13 - 
      1668*T1^14*T2^13 + 1392*T1^15*T2^13 - 290*T1^16*T2^13 + 87*T1^6*T2^14 - 
      440*T1^7*T2^14 + 619*T1^8*T2^14 + 1232*T1^9*T2^14 - 4513*T1^10*T2^14 + 
      4785*T1^11*T2^14 - 2077*T1^12*T2^14 - 1668*T1^13*T2^14 + 
      2243*T1^14*T2^14 - 904*T1^15*T2^14 + 145*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 608*T1^9*T2^15 + 696*T1^10*T2^15 + 48*T1^11*T2^15 - 
      984*T1^12*T2^15 + 1392*T1^13*T2^15 - 904*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      145*T1^10*T2^16 - 290*T1^11*T2^16 + 355*T1^12*T2^16 - 290*T1^13*T2^16 + 
      145*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 488] -> 
  {-((1 - 7*T + 22*T^2 - 37*T^3 + 41*T^4 - 37*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 185*T1^3 - 205*T1^4 + 185*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      679*T1^3*T2 + 399*T1^4*T2 - 147*T1^5*T2 - 266*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      221*T1^3*T2^2 + 1296*T1^4*T2^2 - 1547*T1^5*T2^2 + 2132*T1^6*T2^2 - 
      1099*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      185*T2^3 - 679*T1*T2^3 + 221*T1^2*T2^3 + 3515*T1^3*T2^3 - 
      5571*T1^4*T2^3 + 3022*T1^5*T2^3 - 2441*T1^6*T2^3 - 1813*T1^7*T2^3 + 
      3267*T1^8*T2^3 - 989*T1^9*T2^3 - 56*T1^10*T2^3 + 74*T1^11*T2^3 - 
      205*T2^4 + 399*T1*T2^4 + 1296*T1^2*T2^4 - 5571*T1^3*T2^4 + 
      1925*T1^4*T2^4 + 7209*T1^5*T2^4 - 7473*T1^6*T2^4 + 12131*T1^7*T2^4 - 
      7055*T1^8*T2^4 - 761*T1^9*T2^4 + 1278*T1^10*T2^4 - 231*T1^11*T2^4 - 
      41*T1^12*T2^4 + 185*T2^5 - 147*T1*T2^5 - 1547*T1^2*T2^5 + 
      3022*T1^3*T2^5 + 7209*T1^4*T2^5 - 16468*T1^5*T2^5 + 8938*T1^6*T2^5 - 
      9120*T1^7*T2^5 - 2740*T1^8*T2^5 + 8736*T1^9*T2^5 - 2563*T1^10*T2^5 - 
      404*T1^11*T2^5 + 287*T1^12*T2^5 - 110*T2^6 - 266*T1*T2^6 + 
      2132*T1^2*T2^6 - 2441*T1^3*T2^6 - 7473*T1^4*T2^6 + 8938*T1^5*T2^6 + 
      6655*T1^6*T2^6 - 6081*T1^7*T2^6 + 12623*T1^8*T2^6 - 8626*T1^9*T2^6 - 
      2509*T1^10*T2^6 + 2839*T1^11*T2^6 - 412*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 1099*T1^2*T2^7 - 
      1813*T1^3*T2^7 + 12131*T1^4*T2^7 - 9120*T1^5*T2^7 - 6081*T1^6*T2^7 - 
      1342*T1^7*T2^7 + 2472*T1^8*T2^7 - 5612*T1^9*T2^7 + 9926*T1^10*T2^7 - 
      2976*T1^11*T2^7 - 1363*T1^12*T2^7 + 771*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 3267*T1^3*T2^8 - 
      7055*T1^4*T2^8 - 2740*T1^5*T2^8 + 12623*T1^6*T2^8 + 2472*T1^7*T2^8 - 
      6084*T1^8*T2^8 + 2532*T1^9*T2^8 - 2779*T1^10*T2^8 - 5116*T1^11*T2^8 + 
      5821*T1^12*T2^8 - 1375*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 989*T1^3*T2^9 - 
      761*T1^4*T2^9 + 8736*T1^5*T2^9 - 8626*T1^6*T2^9 - 5612*T1^7*T2^9 + 
      2532*T1^8*T2^9 + 6346*T1^9*T2^9 - 5143*T1^10*T2^9 + 10420*T1^11*T2^9 - 
      6371*T1^12*T2^9 - 311*T1^13*T2^9 + 881*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 56*T1^3*T2^10 + 1278*T1^4*T2^10 - 
      2563*T1^5*T2^10 - 2509*T1^6*T2^10 + 9926*T1^7*T2^10 - 2779*T1^8*T2^10 - 
      5143*T1^9*T2^10 + 3189*T1^10*T2^10 - 7638*T1^11*T2^10 + 
      2455*T1^12*T2^10 + 2717*T1^13*T2^10 - 1266*T1^14*T2^10 + 
      56*T1^15*T2^10 + 66*T1^16*T2^10 + 74*T1^3*T2^11 - 231*T1^4*T2^11 - 
      404*T1^5*T2^11 + 2839*T1^6*T2^11 - 2976*T1^7*T2^11 - 5116*T1^8*T2^11 + 
      10420*T1^9*T2^11 - 7638*T1^10*T2^11 + 8612*T1^11*T2^11 - 
      1449*T1^12*T2^11 - 2746*T1^13*T2^11 + 739*T1^14*T2^11 + 
      203*T1^15*T2^11 - 111*T1^16*T2^11 - 41*T1^4*T2^12 + 287*T1^5*T2^12 - 
      412*T1^6*T2^12 - 1363*T1^7*T2^12 + 5821*T1^8*T2^12 - 6371*T1^9*T2^12 + 
      2455*T1^10*T2^12 - 1449*T1^11*T2^12 - 3159*T1^12*T2^12 + 
      3447*T1^13*T2^12 - 430*T1^14*T2^12 - 343*T1^15*T2^12 + 
      123*T1^16*T2^12 - 154*T1^6*T2^13 + 771*T1^7*T2^13 - 1375*T1^8*T2^13 - 
      311*T1^9*T2^13 + 2717*T1^10*T2^13 - 2746*T1^11*T2^13 + 
      3447*T1^12*T2^13 - 1623*T1^13*T2^13 - 439*T1^14*T2^13 + 
      469*T1^15*T2^13 - 111*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 881*T1^9*T2^14 - 1266*T1^10*T2^14 + 739*T1^11*T2^14 - 
      430*T1^12*T2^14 - 439*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      56*T1^10*T2^15 + 203*T1^11*T2^15 - 343*T1^12*T2^15 + 469*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 111*T1^11*T2^16 + 123*T1^12*T2^16 - 
      111*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 489] -> 
  {(3 - 20*T + 50*T^2 - 65*T^3 + 50*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (-111 + 739*T1 - 1842*T1^2 + 2389*T1^3 - 1842*T1^4 + 739*T1^5 - 111*T1^6 + 
     739*T2 - 4362*T1*T2 + 8551*T1^2*T2 - 6650*T1^3*T2 + 250*T1^4*T2 + 
     4351*T1^5*T2 - 2982*T1^6*T2 + 559*T1^7*T2 - 1842*T2^2 + 8551*T1*T2^2 - 
     6840*T1^2*T2^2 - 15587*T1^3*T2^2 + 33672*T1^4*T2^2 - 29087*T1^5*T2^2 + 
     7260*T1^6*T2^2 + 2551*T1^7*T2^2 - 942*T1^8*T2^2 + 2389*T2^3 - 
     6650*T1*T2^3 - 15587*T1^2*T2^3 + 61089*T1^3*T2^3 - 60341*T1^4*T2^3 + 
     13709*T1^5*T2^3 + 30869*T1^6*T2^3 - 21837*T1^7*T2^3 + 2050*T1^8*T2^3 + 
     634*T1^9*T2^3 - 1842*T2^4 + 250*T1*T2^4 + 33672*T1^2*T2^4 - 
     60341*T1^3*T2^4 - 2491*T1^4*T2^4 + 80405*T1^5*T2^4 - 91291*T1^6*T2^4 + 
     22859*T1^7*T2^4 + 11672*T1^8*T2^4 - 3950*T1^9*T2^4 - 42*T1^10*T2^4 + 
     739*T2^5 + 4351*T1*T2^5 - 29087*T1^2*T2^5 + 13709*T1^3*T2^5 + 
     80405*T1^4*T2^5 - 117588*T1^5*T2^5 + 53062*T1^6*T2^5 + 41905*T1^7*T2^5 - 
     42041*T1^8*T2^5 + 6163*T1^9*T2^5 + 1351*T1^10*T2^5 - 161*T1^11*T2^5 - 
     111*T2^6 - 2982*T1*T2^6 + 7260*T1^2*T2^6 + 30869*T1^3*T2^6 - 
     91291*T1^4*T2^6 + 53062*T1^5*T2^6 + 47856*T1^6*T2^6 - 97818*T1^7*T2^6 + 
     42409*T1^8*T2^6 + 7359*T1^9*T2^6 - 7040*T1^10*T2^6 + 738*T1^11*T2^6 + 
     51*T1^12*T2^6 + 559*T1*T2^7 + 2551*T1^2*T2^7 - 21837*T1^3*T2^7 + 
     22859*T1^4*T2^7 + 41905*T1^5*T2^7 - 97818*T1^6*T2^7 + 72832*T1^7*T2^7 + 
     3405*T1^8*T2^7 - 32891*T1^9*T2^7 + 13413*T1^10*T2^7 - 449*T1^11*T2^7 - 
     341*T1^12*T2^7 - 942*T1^2*T2^8 + 2050*T1^3*T2^8 + 11672*T1^4*T2^8 - 
     42041*T1^5*T2^8 + 42409*T1^6*T2^8 + 3405*T1^7*T2^8 - 46391*T1^8*T2^8 + 
     41159*T1^9*T2^8 - 10328*T1^10*T2^8 - 2150*T1^11*T2^8 + 858*T1^12*T2^8 + 
     634*T1^3*T2^9 - 3950*T1^4*T2^9 + 6163*T1^5*T2^9 + 7359*T1^6*T2^9 - 
     32891*T1^7*T2^9 + 41159*T1^8*T2^9 - 22861*T1^9*T2^9 - 87*T1^10*T2^9 + 
     4750*T1^11*T2^9 - 1121*T1^12*T2^9 - 42*T1^4*T2^10 + 1351*T1^5*T2^10 - 
     7040*T1^6*T2^10 + 13413*T1^7*T2^10 - 10328*T1^8*T2^10 - 87*T1^9*T2^10 + 
     7060*T1^10*T2^10 - 4649*T1^11*T2^10 + 858*T1^12*T2^10 - 161*T1^5*T2^11 + 
     738*T1^6*T2^11 - 449*T1^7*T2^11 - 2150*T1^8*T2^11 + 4750*T1^9*T2^11 - 
     4649*T1^10*T2^11 + 2118*T1^11*T2^11 - 341*T1^12*T2^11 + 51*T1^6*T2^12 - 
     341*T1^7*T2^12 + 858*T1^8*T2^12 - 1121*T1^9*T2^12 + 858*T1^10*T2^12 - 
     341*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 490] -> 
  {(7 - 25*T + 45*T^2 - 53*T^3 + 45*T^4 - 25*T^5 + 7*T^6)/T^3, 
   -((2149 - 7575*T1 + 13511*T1^2 - 15845*T1^3 + 13511*T1^4 - 7575*T1^5 + 
      2149*T1^6 - 7575*T2 + 20469*T1*T2 - 25562*T1^2*T2 + 16262*T1^3*T2 - 
      888*T1^4*T2 - 13312*T1^5*T2 + 14869*T1^6*T2 - 6350*T1^7*T2 + 
      13511*T2^2 - 25562*T1*T2^2 + 15390*T1^2*T2^2 + 9945*T1^3*T2^2 - 
      24962*T1^4*T2^2 + 27585*T1^5*T2^2 - 8550*T1^6*T2^2 - 9812*T1^7*T2^2 + 
      9101*T1^8*T2^2 - 15845*T2^3 + 16262*T1*T2^3 + 9945*T1^2*T2^3 - 
      32234*T1^3*T2^3 + 24138*T1^4*T2^3 - 8202*T1^5*T2^3 - 20264*T1^6*T2^3 + 
      24030*T1^7*T2^3 - 3688*T1^8*T2^3 - 8054*T1^9*T2^3 + 13511*T2^4 - 
      888*T1*T2^4 - 24962*T1^2*T2^4 + 24138*T1^3*T2^4 + 5310*T1^4*T2^4 - 
      18902*T1^5*T2^4 + 31630*T1^6*T2^4 - 9782*T1^7*T2^4 - 15412*T1^8*T2^4 + 
      12062*T1^9*T2^4 + 4691*T1^10*T2^4 - 7575*T2^5 - 13312*T1*T2^5 + 
      27585*T1^2*T2^5 - 8202*T1^3*T2^5 - 18902*T1^4*T2^5 + 14119*T1^5*T2^5 - 
      11361*T1^6*T2^5 - 15077*T1^7*T2^5 + 20978*T1^8*T2^5 - 720*T1^9*T2^5 - 
      11562*T1^10*T2^5 - 1450*T1^11*T2^5 + 2149*T2^6 + 14869*T1*T2^6 - 
      8550*T1^2*T2^6 - 20264*T1^3*T2^6 + 31630*T1^4*T2^6 - 11361*T1^5*T2^6 + 
      2940*T1^6*T2^6 + 14389*T1^7*T2^6 - 3000*T1^8*T2^6 - 15932*T1^9*T2^6 + 
      12370*T1^10*T2^6 + 4719*T1^11*T2^6 + 91*T1^12*T2^6 - 6350*T1*T2^7 - 
      9812*T1^2*T2^7 + 24030*T1^3*T2^7 - 9782*T1^4*T2^7 - 15077*T1^5*T2^7 + 
      14389*T1^6*T2^7 - 11091*T1^7*T2^7 - 11252*T1^8*T2^7 + 19398*T1^9*T2^7 - 
      4275*T1^10*T2^7 - 8062*T1^11*T2^7 - 225*T1^12*T2^7 + 9101*T1^2*T2^8 - 
      3688*T1^3*T2^8 - 15412*T1^4*T2^8 + 20978*T1^5*T2^8 - 3000*T1^6*T2^8 - 
      11252*T1^7*T2^8 + 23320*T1^8*T2^8 - 12942*T1^9*T2^8 - 5862*T1^10*T2^8 + 
      9262*T1^11*T2^8 + 281*T1^12*T2^8 - 8054*T1^3*T2^9 + 12062*T1^4*T2^9 - 
      720*T1^5*T2^9 - 15932*T1^6*T2^9 + 19398*T1^7*T2^9 - 12942*T1^8*T2^9 - 
      3962*T1^9*T2^9 + 13365*T1^10*T2^9 - 7888*T1^11*T2^9 - 263*T1^12*T2^9 + 
      4691*T1^4*T2^10 - 11562*T1^5*T2^10 + 12370*T1^6*T2^10 - 
      4275*T1^7*T2^10 - 5862*T1^8*T2^10 + 13365*T1^9*T2^10 - 
      11570*T1^10*T2^10 + 4188*T1^11*T2^10 + 281*T1^12*T2^10 - 
      1450*T1^5*T2^11 + 4719*T1^6*T2^11 - 8062*T1^7*T2^11 + 9262*T1^8*T2^11 - 
      7888*T1^9*T2^11 + 4188*T1^10*T2^11 - 881*T1^11*T2^11 - 
      225*T1^12*T2^11 + 91*T1^6*T2^12 - 225*T1^7*T2^12 + 281*T1^8*T2^12 - 
      263*T1^9*T2^12 + 281*T1^10*T2^12 - 225*T1^11*T2^12 + 91*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 491] -> 
  {-((2 - 14*T + 42*T^2 - 61*T^3 + 42*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-25 + 175*T1 - 526*T1^2 + 765*T1^3 - 526*T1^4 + 175*T1^5 - 25*T1^6 + 
      175*T2 - 1106*T1*T2 + 2849*T1^2*T2 - 2849*T1^3*T2 + 35*T1^4*T2 + 
      1281*T1^5*T2 - 658*T1^6*T2 + 119*T1^7*T2 - 526*T2^2 + 2849*T1*T2^2 - 
      5435*T1^2*T2^2 - 31*T1^3*T2^2 + 10279*T1^4*T2^2 - 7927*T1^5*T2^2 + 
      1285*T1^6*T2^2 + 497*T1^7*T2^2 - 190*T1^8*T2^2 + 765*T2^3 - 
      2849*T1*T2^3 - 31*T1^2*T2^3 + 19584*T1^3*T2^3 - 32356*T1^4*T2^3 + 
      7712*T1^5*T2^3 + 9714*T1^6*T2^3 - 5995*T1^7*T2^3 + 1099*T1^8*T2^3 + 
      33*T1^9*T2^3 - 526*T2^4 + 35*T1*T2^4 + 10279*T1^2*T2^4 - 
      32356*T1^3*T2^4 + 19277*T1^4*T2^4 + 39939*T1^5*T2^4 - 47559*T1^6*T2^4 + 
      15468*T1^7*T2^4 + 479*T1^8*T2^4 - 1253*T1^9*T2^4 + 146*T1^10*T2^4 + 
      175*T2^5 + 1281*T1*T2^5 - 7927*T1^2*T2^5 + 7712*T1^3*T2^5 + 
      39939*T1^4*T2^5 - 101106*T1^5*T2^5 + 66236*T1^6*T2^5 + 1719*T1^7*T2^5 - 
      16844*T1^8*T2^5 + 5765*T1^9*T2^5 - 287*T1^10*T2^5 - 105*T1^11*T2^5 - 
      25*T2^6 - 658*T1*T2^6 + 1285*T1^2*T2^6 + 9714*T1^3*T2^6 - 
      47559*T1^4*T2^6 + 66236*T1^5*T2^6 + 2280*T1^6*T2^6 - 68556*T1^7*T2^6 + 
      46745*T1^8*T2^6 - 8214*T1^9*T2^6 - 1627*T1^10*T2^6 + 574*T1^11*T2^6 + 
      23*T1^12*T2^6 + 119*T1*T2^7 + 497*T1^2*T2^7 - 5995*T1^3*T2^7 + 
      15468*T1^4*T2^7 + 1719*T1^5*T2^7 - 68556*T1^6*T2^7 + 98786*T1^7*T2^7 - 
      36501*T1^8*T2^7 - 9088*T1^9*T2^7 + 7697*T1^10*T2^7 - 1071*T1^11*T2^7 - 
      161*T1^12*T2^7 - 190*T1^2*T2^8 + 1099*T1^3*T2^8 + 479*T1^4*T2^8 - 
      16844*T1^5*T2^8 + 46745*T1^6*T2^8 - 36501*T1^7*T2^8 - 20091*T1^8*T2^8 + 
      30980*T1^9*T2^8 - 9321*T1^10*T2^8 - 189*T1^11*T2^8 + 482*T1^12*T2^8 + 
      33*T1^3*T2^9 - 1253*T1^4*T2^9 + 5765*T1^5*T2^9 - 8214*T1^6*T2^9 - 
      9088*T1^7*T2^9 + 30980*T1^8*T2^9 - 18084*T1^9*T2^9 - 199*T1^10*T2^9 + 
      2695*T1^11*T2^9 - 699*T1^12*T2^9 + 146*T1^4*T2^10 - 287*T1^5*T2^10 - 
      1627*T1^6*T2^10 + 7697*T1^7*T2^10 - 9321*T1^8*T2^10 - 199*T1^9*T2^10 + 
      5093*T1^10*T2^10 - 2639*T1^11*T2^10 + 482*T1^12*T2^10 - 
      105*T1^5*T2^11 + 574*T1^6*T2^11 - 1071*T1^7*T2^11 - 189*T1^8*T2^11 + 
      2695*T1^9*T2^11 - 2639*T1^10*T2^11 + 1022*T1^11*T2^11 - 
      161*T1^12*T2^11 + 23*T1^6*T2^12 - 161*T1^7*T2^12 + 482*T1^8*T2^12 - 
      699*T1^9*T2^12 + 482*T1^10*T2^12 - 161*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 492] -> 
  {-((2 - 15*T + 47*T^2 - 69*T^3 + 47*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-25 + 187*T1 - 586*T1^2 + 861*T1^3 - 586*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3435*T1^2*T2 - 3467*T1^3*T2 + 13*T1^4*T2 + 
      1575*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 586*T2^2 + 3435*T1*T2^2 - 
      6871*T1^2*T2^2 - 350*T1^3*T2^2 + 13779*T1^4*T2^2 - 10502*T1^5*T2^2 + 
      1589*T1^6*T2^2 + 615*T1^7*T2^2 - 210*T1^8*T2^2 + 861*T2^3 - 
      3467*T1*T2^3 - 350*T1^2*T2^3 + 27677*T1^3*T2^3 - 45228*T1^4*T2^3 + 
      10884*T1^5*T2^3 + 13361*T1^6*T2^3 - 7823*T1^7*T2^3 + 1333*T1^8*T2^3 + 
      33*T1^9*T2^3 - 586*T2^4 + 13*T1*T2^4 + 13779*T1^2*T2^4 - 
      45228*T1^3*T2^4 + 26035*T1^4*T2^4 + 58483*T1^5*T2^4 - 68825*T1^6*T2^4 + 
      21978*T1^7*T2^4 + 401*T1^8*T2^4 - 1487*T1^9*T2^4 + 166*T1^10*T2^4 + 
      187*T2^5 + 1575*T1*T2^5 - 10502*T1^2*T2^5 + 10884*T1^3*T2^5 + 
      58483*T1^4*T2^5 - 148532*T1^5*T2^5 + 99076*T1^6*T2^5 + 532*T1^7*T2^5 - 
      23040*T1^8*T2^5 + 7687*T1^9*T2^5 - 405*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 1589*T1^2*T2^6 + 13361*T1^3*T2^6 - 
      68825*T1^4*T2^6 + 99076*T1^5*T2^6 - 444*T1^6*T2^6 - 99356*T1^7*T2^6 + 
      69013*T1^8*T2^6 - 12265*T1^9*T2^6 - 1947*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 615*T1^2*T2^7 - 7823*T1^3*T2^7 + 
      21978*T1^4*T2^7 + 532*T1^5*T2^7 - 99356*T1^6*T2^7 + 148252*T1^7*T2^7 - 
      57419*T1^8*T2^7 - 11946*T1^9*T2^7 + 10366*T1^10*T2^7 - 
      1365*T1^11*T2^7 - 173*T1^12*T2^7 - 210*T1^2*T2^8 + 1333*T1^3*T2^8 + 
      401*T1^4*T2^8 - 23040*T1^5*T2^8 + 69013*T1^6*T2^8 - 57419*T1^7*T2^8 - 
      25847*T1^8*T2^8 + 44166*T1^9*T2^8 - 12977*T1^10*T2^8 - 167*T1^11*T2^8 + 
      542*T1^12*T2^8 + 33*T1^3*T2^9 - 1487*T1^4*T2^9 + 7687*T1^5*T2^9 - 
      12265*T1^6*T2^9 - 11946*T1^7*T2^9 + 44166*T1^8*T2^9 - 26581*T1^9*T2^9 + 
      214*T1^10*T2^9 + 3313*T1^11*T2^9 - 795*T1^12*T2^9 + 166*T1^4*T2^10 - 
      405*T1^5*T2^10 - 1947*T1^6*T2^10 + 10366*T1^7*T2^10 - 
      12977*T1^8*T2^10 + 214*T1^9*T2^10 + 6513*T1^10*T2^10 - 
      3225*T1^11*T2^10 + 542*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 
      1365*T1^7*T2^11 - 167*T1^8*T2^11 + 3313*T1^9*T2^11 - 3225*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      542*T1^8*T2^12 - 795*T1^9*T2^12 + 542*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 493] -> 
  {-((1 - 7*T + 22*T^2 - 36*T^3 + 39*T^4 - 36*T^5 + 22*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 110*T1^2 + 180*T1^3 - 195*T1^4 + 180*T1^5 - 
      110*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 
      644*T1^3*T2 + 357*T1^4*T2 - 168*T1^5*T2 - 238*T1^6*T2 + 371*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 
      113*T1^3*T2^2 + 1318*T1^4*T2^2 - 1331*T1^5*T2^2 + 2066*T1^6*T2^2 - 
      1163*T1^7*T2^2 - 189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 
      180*T2^3 - 644*T1*T2^3 + 113*T1^2*T2^3 + 3866*T1^3*T2^3 - 
      5505*T1^4*T2^3 + 2581*T1^5*T2^3 - 2705*T1^6*T2^3 - 1541*T1^7*T2^3 + 
      3396*T1^8*T2^3 - 1031*T1^9*T2^3 - 42*T1^10*T2^3 + 72*T1^11*T2^3 - 
      195*T2^4 + 357*T1*T2^4 + 1318*T1^2*T2^4 - 5505*T1^3*T2^4 + 
      642*T1^4*T2^4 + 8603*T1^5*T2^4 - 7372*T1^6*T2^4 + 12647*T1^7*T2^4 - 
      8046*T1^8*T2^4 - 537*T1^9*T2^4 + 1222*T1^10*T2^4 - 231*T1^11*T2^4 - 
      39*T1^12*T2^4 + 180*T2^5 - 168*T1*T2^5 - 1331*T1^2*T2^5 + 
      2581*T1^3*T2^5 + 8603*T1^4*T2^5 - 16705*T1^5*T2^5 + 7515*T1^6*T2^5 - 
      9603*T1^7*T2^5 - 1783*T1^8*T2^5 + 8918*T1^9*T2^5 - 2621*T1^10*T2^5 - 
      350*T1^11*T2^5 + 273*T1^12*T2^5 - 110*T2^6 - 238*T1*T2^6 + 
      2066*T1^2*T2^6 - 2705*T1^3*T2^6 - 7372*T1^4*T2^6 + 7515*T1^5*T2^6 + 
      8294*T1^6*T2^6 - 4558*T1^7*T2^6 + 11006*T1^8*T2^6 - 8697*T1^9*T2^6 - 
      2476*T1^10*T2^6 + 2707*T1^11*T2^6 - 370*T1^12*T2^6 - 154*T1^13*T2^6 + 
      22*T1^14*T2^6 + 35*T2^7 + 371*T1*T2^7 - 1163*T1^2*T2^7 - 
      1541*T1^3*T2^7 + 12647*T1^4*T2^7 - 9603*T1^5*T2^7 - 4558*T1^6*T2^7 - 
      5643*T1^7*T2^7 + 4927*T1^8*T2^7 - 5010*T1^9*T2^7 + 9327*T1^10*T2^7 - 
      2584*T1^11*T2^7 - 1489*T1^12*T2^7 + 773*T1^13*T2^7 - 56*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 3396*T1^3*T2^8 - 
      8046*T1^4*T2^8 - 1783*T1^5*T2^8 + 11006*T1^6*T2^8 + 4927*T1^7*T2^8 - 
      4836*T1^8*T2^8 - 1035*T1^9*T2^8 - 1002*T1^10*T2^8 - 5869*T1^11*T2^8 + 
      6130*T1^12*T2^8 - 1384*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 1031*T1^3*T2^9 - 
      537*T1^4*T2^9 + 8918*T1^5*T2^9 - 8697*T1^6*T2^9 - 5010*T1^7*T2^9 - 
      1035*T1^8*T2^9 + 9535*T1^9*T2^9 - 5462*T1^10*T2^9 + 10233*T1^11*T2^9 - 
      6313*T1^12*T2^9 - 485*T1^13*T2^9 + 905*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 42*T1^3*T2^10 + 1222*T1^4*T2^10 - 
      2621*T1^5*T2^10 - 2476*T1^6*T2^10 + 9327*T1^7*T2^10 - 1002*T1^8*T2^10 - 
      5462*T1^9*T2^10 + 1710*T1^10*T2^10 - 6885*T1^11*T2^10 + 
      2420*T1^12*T2^10 + 2791*T1^13*T2^10 - 1214*T1^14*T2^10 + 
      42*T1^15*T2^10 + 66*T1^16*T2^10 + 72*T1^3*T2^11 - 231*T1^4*T2^11 - 
      350*T1^5*T2^11 + 2707*T1^6*T2^11 - 2584*T1^7*T2^11 - 5869*T1^8*T2^11 + 
      10233*T1^9*T2^11 - 6885*T1^10*T2^11 + 9053*T1^11*T2^11 - 
      2269*T1^12*T2^11 - 2495*T1^13*T2^11 + 631*T1^14*T2^11 + 
      210*T1^15*T2^11 - 108*T1^16*T2^11 - 39*T1^4*T2^12 + 273*T1^5*T2^12 - 
      370*T1^6*T2^12 - 1489*T1^7*T2^12 + 6130*T1^8*T2^12 - 6313*T1^9*T2^12 + 
      2420*T1^10*T2^12 - 2269*T1^11*T2^12 - 2558*T1^12*T2^12 + 
      3479*T1^13*T2^12 - 466*T1^14*T2^12 - 315*T1^15*T2^12 + 
      117*T1^16*T2^12 - 154*T1^6*T2^13 + 773*T1^7*T2^13 - 1384*T1^8*T2^13 - 
      485*T1^9*T2^13 + 2791*T1^10*T2^13 - 2495*T1^11*T2^13 + 
      3479*T1^12*T2^13 - 1854*T1^13*T2^13 - 371*T1^14*T2^13 + 
      448*T1^15*T2^13 - 108*T1^16*T2^13 + 22*T1^6*T2^14 - 56*T1^7*T2^14 - 
      135*T1^8*T2^14 + 905*T1^9*T2^14 - 1214*T1^10*T2^14 + 631*T1^11*T2^14 - 
      466*T1^12*T2^14 - 371*T1^13*T2^14 + 789*T1^14*T2^14 - 364*T1^15*T2^14 + 
      66*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 161*T1^9*T2^15 + 
      42*T1^10*T2^15 + 210*T1^11*T2^15 - 315*T1^12*T2^15 + 448*T1^13*T2^15 - 
      364*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 66*T1^10*T2^16 - 108*T1^11*T2^16 + 117*T1^12*T2^16 - 
      108*T1^13*T2^16 + 66*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 494] -> 
  {-((2 - 15*T + 48*T^2 - 71*T^3 + 48*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-25 + 187*T1 - 598*T1^2 + 885*T1^3 - 598*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3525*T1^2*T2 - 3587*T1^3*T2 - 17*T1^4*T2 + 
      1635*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 598*T2^2 + 3525*T1*T2^2 - 
      7443*T1^2*T2^2 + 244*T1^3*T2^2 + 13865*T1^4*T2^2 - 10508*T1^5*T2^2 + 
      1389*T1^6*T2^2 + 645*T1^7*T2^2 - 214*T1^8*T2^2 + 885*T2^3 - 
      3587*T1*T2^3 + 244*T1^2*T2^3 + 28420*T1^3*T2^3 - 47577*T1^4*T2^3 + 
      11265*T1^5*T2^3 + 14158*T1^6*T2^3 - 7964*T1^7*T2^3 + 1363*T1^8*T2^3 + 
      33*T1^9*T2^3 - 598*T2^4 - 17*T1*T2^4 + 13865*T1^2*T2^4 - 
      47577*T1^3*T2^4 + 27721*T1^4*T2^4 + 63195*T1^5*T2^4 - 73895*T1^6*T2^4 + 
      23139*T1^7*T2^4 + 347*T1^8*T2^4 - 1517*T1^9*T2^4 + 170*T1^10*T2^4 + 
      187*T2^5 + 1635*T1*T2^5 - 10508*T1^2*T2^5 + 11265*T1^3*T2^5 + 
      63195*T1^4*T2^5 - 162252*T1^5*T2^5 + 109770*T1^6*T2^5 - 
      1029*T1^7*T2^5 - 23829*T1^8*T2^5 + 7876*T1^9*T2^5 - 435*T1^10*T2^5 - 
      113*T1^11*T2^5 - 25*T2^6 - 762*T1*T2^6 + 1389*T1^2*T2^6 + 
      14158*T1^3*T2^6 - 73895*T1^4*T2^6 + 109770*T1^5*T2^6 - 4236*T1^6*T2^6 - 
      107238*T1^7*T2^6 + 75325*T1^8*T2^6 - 13466*T1^9*T2^6 - 
      1743*T1^10*T2^6 + 678*T1^11*T2^6 + 23*T1^12*T2^6 + 127*T1*T2^7 + 
      645*T1^2*T2^7 - 7964*T1^3*T2^7 + 23139*T1^4*T2^7 - 1029*T1^5*T2^7 - 
      107238*T1^6*T2^7 + 164784*T1^7*T2^7 - 65253*T1^8*T2^7 - 
      11955*T1^9*T2^7 + 10420*T1^10*T2^7 - 1425*T1^11*T2^7 - 173*T1^12*T2^7 - 
      214*T1^2*T2^8 + 1363*T1^3*T2^8 + 347*T1^4*T2^8 - 23829*T1^5*T2^8 + 
      75325*T1^6*T2^8 - 65253*T1^7*T2^8 - 26291*T1^8*T2^8 + 46887*T1^9*T2^8 - 
      13171*T1^10*T2^8 - 137*T1^11*T2^8 + 554*T1^12*T2^8 + 33*T1^3*T2^9 - 
      1517*T1^4*T2^9 + 7876*T1^5*T2^9 - 13466*T1^6*T2^9 - 11955*T1^7*T2^9 + 
      46887*T1^8*T2^9 - 27728*T1^9*T2^9 - 332*T1^10*T2^9 + 3433*T1^11*T2^9 - 
      819*T1^12*T2^9 + 170*T1^4*T2^10 - 435*T1^5*T2^10 - 1743*T1^6*T2^10 + 
      10420*T1^7*T2^10 - 13171*T1^8*T2^10 - 332*T1^9*T2^10 + 
      7089*T1^10*T2^10 - 3315*T1^11*T2^10 + 554*T1^12*T2^10 - 
      113*T1^5*T2^11 + 678*T1^6*T2^11 - 1425*T1^7*T2^11 - 137*T1^8*T2^11 + 
      3433*T1^9*T2^11 - 3315*T1^10*T2^11 + 1188*T1^11*T2^11 - 
      173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 554*T1^8*T2^12 - 
      819*T1^9*T2^12 + 554*T1^10*T2^12 - 173*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 495] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-49 + 268*T1 - 726*T1^2 + 1202*T1^3 - 1415*T1^4 + 1202*T1^5 - 726*T1^6 + 
     268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 2757*T1^2*T2 - 3282*T1^3*T2 + 
     2275*T1^4*T2 - 123*T1^5*T2 - 1522*T1^6*T2 + 1855*T1^7*T2 - 958*T1^8*T2 + 
     224*T1^9*T2 - 726*T2^2 + 2757*T1*T2^2 - 4578*T1^2*T2^2 + 
     2340*T1^3*T2^2 + 1990*T1^4*T2^2 - 5874*T1^5*T2^2 + 5470*T1^6*T2^2 - 
     2340*T1^7*T2^2 - 1218*T1^8*T2^2 + 1437*T1^9*T2^2 - 486*T1^10*T2^2 + 
     1202*T2^3 - 3282*T1*T2^3 + 2340*T1^2*T2^3 + 5890*T1^3*T2^3 - 
     11096*T1^4*T2^3 + 10462*T1^5*T2^3 - 1508*T1^6*T2^3 - 5696*T1^7*T2^3 + 
     7960*T1^8*T2^3 - 2370*T1^9*T2^3 - 642*T1^10*T2^3 + 602*T1^11*T2^3 - 
     1415*T2^4 + 2275*T1*T2^4 + 1990*T1^2*T2^4 - 11096*T1^3*T2^4 + 
     5591*T1^4*T2^4 + 6552*T1^5*T2^4 - 21175*T1^6*T2^4 + 20044*T1^7*T2^4 - 
     10405*T1^8*T2^4 - 3896*T1^9*T2^4 + 4050*T1^10*T2^4 - 717*T1^11*T2^4 - 
     471*T1^12*T2^4 + 1202*T2^5 - 123*T1*T2^5 - 5874*T1^2*T2^5 + 
     10462*T1^3*T2^5 + 6552*T1^4*T2^5 - 18817*T1^5*T2^5 + 23048*T1^6*T2^5 - 
     5192*T1^7*T2^5 - 9107*T1^8*T2^5 + 16796*T1^9*T2^5 - 3448*T1^10*T2^5 - 
     2457*T1^11*T2^5 + 1483*T1^12*T2^5 + 202*T1^13*T2^5 - 726*T2^6 - 
     1522*T1*T2^6 + 5470*T1^2*T2^6 - 1508*T1^3*T2^6 - 21175*T1^4*T2^6 + 
     23048*T1^5*T2^6 - 13727*T1^6*T2^6 - 9783*T1^7*T2^6 + 13213*T1^8*T2^6 - 
     7612*T1^9*T2^6 - 10815*T1^10*T2^6 + 7552*T1^11*T2^6 - 850*T1^12*T2^6 - 
     1082*T1^13*T2^6 - 6*T1^14*T2^6 + 268*T2^7 + 1855*T1*T2^7 - 
     2340*T1^2*T2^7 - 5696*T1^3*T2^7 + 20044*T1^4*T2^7 - 5192*T1^5*T2^7 - 
     9783*T1^6*T2^7 + 21310*T1^7*T2^7 - 5888*T1^8*T2^7 - 7603*T1^9*T2^7 + 
     18208*T1^10*T2^7 - 3192*T1^11*T2^7 - 3896*T1^12*T2^7 + 2190*T1^13*T2^7 + 
     249*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 958*T1*T2^8 - 
     1218*T1^2*T2^8 + 7960*T1^3*T2^8 - 10405*T1^4*T2^8 - 9107*T1^5*T2^8 + 
     13213*T1^6*T2^8 - 5888*T1^7*T2^8 - 15276*T1^8*T2^8 + 18688*T1^9*T2^8 - 
     11927*T1^10*T2^8 - 7873*T1^11*T2^8 + 8183*T1^12*T2^8 - 1460*T1^13*T2^8 - 
     1044*T1^14*T2^8 + 142*T1^15*T2^8 + 15*T1^16*T2^8 + 224*T1*T2^9 + 
     1437*T1^2*T2^9 - 2370*T1^3*T2^9 - 3896*T1^4*T2^9 + 16796*T1^5*T2^9 - 
     7612*T1^6*T2^9 - 7603*T1^7*T2^9 + 18688*T1^8*T2^9 - 8510*T1^9*T2^9 - 
     5423*T1^10*T2^9 + 15788*T1^11*T2^9 - 6440*T1^12*T2^9 - 2096*T1^13*T2^9 + 
     2160*T1^14*T2^9 - 169*T1^15*T2^9 - 84*T1^16*T2^9 - 486*T1^2*T2^10 - 
     642*T1^3*T2^10 + 4050*T1^4*T2^10 - 3448*T1^5*T2^10 - 10815*T1^6*T2^10 + 
     18208*T1^7*T2^10 - 11927*T1^8*T2^10 - 5423*T1^9*T2^10 + 
     15013*T1^10*T2^10 - 12452*T1^11*T2^10 - 455*T1^12*T2^10 + 
     5612*T1^13*T2^10 - 2270*T1^14*T2^10 - 202*T1^15*T2^10 + 
     234*T1^16*T2^10 + 602*T1^3*T2^11 - 717*T1^4*T2^11 - 2457*T1^5*T2^11 + 
     7552*T1^6*T2^11 - 3192*T1^7*T2^11 - 7873*T1^8*T2^11 + 15788*T1^9*T2^11 - 
     12452*T1^10*T2^11 + 1837*T1^11*T2^11 + 7052*T1^12*T2^11 - 
     6358*T1^13*T2^11 + 960*T1^14*T2^11 + 889*T1^15*T2^11 - 398*T1^16*T2^11 - 
     471*T1^4*T2^12 + 1483*T1^5*T2^12 - 850*T1^6*T2^12 - 3896*T1^7*T2^12 + 
     8183*T1^8*T2^12 - 6440*T1^9*T2^12 - 455*T1^10*T2^12 + 7052*T1^11*T2^12 - 
     7813*T1^12*T2^12 + 3304*T1^13*T2^12 + 1210*T1^14*T2^12 - 
     1509*T1^15*T2^12 + 473*T1^16*T2^12 + 202*T1^5*T2^13 - 1082*T1^6*T2^13 + 
     2190*T1^7*T2^13 - 1460*T1^8*T2^13 - 2096*T1^9*T2^13 + 5612*T1^10*T2^13 - 
     6358*T1^11*T2^13 + 3304*T1^12*T2^13 + 610*T1^13*T2^13 - 
     2520*T1^14*T2^13 + 1558*T1^15*T2^13 - 398*T1^16*T2^13 - 6*T1^6*T2^14 + 
     249*T1^7*T2^14 - 1044*T1^8*T2^14 + 2160*T1^9*T2^14 - 2270*T1^10*T2^14 + 
     960*T1^11*T2^14 + 1210*T1^12*T2^14 - 2520*T1^13*T2^14 + 
     2316*T1^14*T2^14 - 1071*T1^15*T2^14 + 234*T1^16*T2^14 - 40*T1^7*T2^15 + 
     142*T1^8*T2^15 - 169*T1^9*T2^15 - 202*T1^10*T2^15 + 889*T1^11*T2^15 - 
     1509*T1^12*T2^15 + 1558*T1^13*T2^15 - 1071*T1^14*T2^15 + 
     428*T1^15*T2^15 - 84*T1^16*T2^15 + 15*T1^8*T2^16 - 84*T1^9*T2^16 + 
     234*T1^10*T2^16 - 398*T1^11*T2^16 + 473*T1^12*T2^16 - 398*T1^13*T2^16 + 
     234*T1^14*T2^16 - 84*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 496] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6))/
     T^4), -((-41 + 245*T1 - 651*T1^2 + 1117*T1^3 - 1319*T1^4 + 1117*T1^5 - 
      651*T1^6 + 245*T1^7 - 41*T1^8 + 245*T2 - 1268*T1*T2 + 2718*T1^2*T2 - 
      3558*T1^3*T2 + 2530*T1^4*T2 - 350*T1^5*T2 - 1470*T1^6*T2 + 
      1662*T1^7*T2 - 932*T1^8*T2 + 197*T1^9*T2 - 651*T2^2 + 2718*T1*T2^2 - 
      3716*T1^2*T2^2 + 1423*T1^3*T2^2 + 4864*T1^4*T2^2 - 9424*T1^5*T2^2 + 
      9088*T1^6*T2^2 - 4081*T1^7*T2^2 + 124*T1^8*T2^2 + 1182*T1^9*T2^2 - 
      395*T1^10*T2^2 + 1117*T2^3 - 3558*T1*T2^3 + 1423*T1^2*T2^3 + 
      5646*T1^3*T2^3 - 14701*T1^4*T2^3 + 13342*T1^5*T2^3 - 4028*T1^6*T2^3 - 
      6703*T1^7*T2^3 + 7560*T1^8*T2^3 - 3761*T1^9*T2^3 - 366*T1^10*T2^3 + 
      457*T1^11*T2^3 - 1319*T2^4 + 2530*T1*T2^4 + 4864*T1^2*T2^4 - 
      14701*T1^3*T2^4 + 20388*T1^4*T2^4 - 7378*T1^5*T2^4 - 7212*T1^6*T2^4 + 
      13822*T1^7*T2^4 - 3612*T1^8*T2^4 - 3701*T1^9*T2^4 + 5664*T1^10*T2^4 - 
      1070*T1^11*T2^4 - 279*T1^12*T2^4 + 1117*T2^5 - 350*T1*T2^5 - 
      9424*T1^2*T2^5 + 13342*T1^3*T2^5 - 7378*T1^4*T2^5 - 15216*T1^5*T2^5 + 
      20981*T1^6*T2^5 - 10839*T1^7*T2^5 - 10926*T1^8*T2^5 + 12812*T1^9*T2^5 - 
      6648*T1^10*T2^5 - 2464*T1^11*T2^5 + 1570*T1^12*T2^5 + 17*T1^13*T2^5 - 
      651*T2^6 - 1470*T1*T2^6 + 9088*T1^2*T2^6 - 4028*T1^3*T2^6 - 
      7212*T1^4*T2^6 + 20981*T1^5*T2^6 - 3853*T1^6*T2^6 - 18449*T1^7*T2^6 + 
      31427*T1^8*T2^6 - 12699*T1^9*T2^6 - 2652*T1^10*T2^6 + 9412*T1^11*T2^6 - 
      1984*T1^12*T2^6 - 798*T1^13*T2^6 + 117*T1^14*T2^6 + 245*T2^7 + 
      1662*T1*T2^7 - 4081*T1^2*T2^7 - 6703*T1^3*T2^7 + 13822*T1^4*T2^7 - 
      10839*T1^5*T2^7 - 18449*T1^6*T2^7 + 31087*T1^7*T2^7 - 20681*T1^8*T2^7 - 
      9920*T1^9*T2^7 + 17261*T1^10*T2^7 - 10408*T1^11*T2^7 - 
      2693*T1^12*T2^7 + 3023*T1^13*T2^7 - 162*T1^14*T2^7 - 91*T1^15*T2^7 - 
      41*T2^8 - 932*T1*T2^8 + 124*T1^2*T2^8 + 7560*T1^3*T2^8 - 
      3612*T1^4*T2^8 - 10926*T1^5*T2^8 + 31427*T1^6*T2^8 - 20681*T1^7*T2^8 - 
      6852*T1^8*T2^8 + 28377*T1^9*T2^8 - 17171*T1^10*T2^8 - 306*T1^11*T2^8 + 
      9420*T1^12*T2^8 - 3604*T1^13*T2^8 - 1028*T1^14*T2^8 + 412*T1^15*T2^8 + 
      23*T1^16*T2^8 + 197*T1*T2^9 + 1182*T1^2*T2^9 - 3761*T1^3*T2^9 - 
      3701*T1^4*T2^9 + 12812*T1^5*T2^9 - 12699*T1^6*T2^9 - 9920*T1^7*T2^9 + 
      28377*T1^8*T2^9 - 23391*T1^9*T2^9 - 1391*T1^10*T2^9 + 
      15401*T1^11*T2^9 - 11418*T1^12*T2^9 + 309*T1^13*T2^9 + 
      3343*T1^14*T2^9 - 642*T1^15*T2^9 - 139*T1^16*T2^9 - 395*T1^2*T2^10 - 
      366*T1^3*T2^10 + 5664*T1^4*T2^10 - 6648*T1^5*T2^10 - 2652*T1^6*T2^10 + 
      17261*T1^7*T2^10 - 17171*T1^8*T2^10 - 1391*T1^9*T2^10 + 
      18109*T1^10*T2^10 - 16419*T1^11*T2^10 + 1908*T1^12*T2^10 + 
      6792*T1^13*T2^10 - 5408*T1^14*T2^10 + 306*T1^15*T2^10 + 
      373*T1^16*T2^10 + 457*T1^3*T2^11 - 1070*T1^4*T2^11 - 2464*T1^5*T2^11 + 
      9412*T1^6*T2^11 - 10408*T1^7*T2^11 - 306*T1^8*T2^11 + 
      15401*T1^9*T2^11 - 16419*T1^10*T2^11 + 3984*T1^11*T2^11 + 
      9782*T1^12*T2^11 - 10578*T1^13*T2^11 + 4496*T1^14*T2^11 + 
      850*T1^15*T2^11 - 643*T1^16*T2^11 - 279*T1^4*T2^12 + 1570*T1^5*T2^12 - 
      1984*T1^6*T2^12 - 2693*T1^7*T2^12 + 9420*T1^8*T2^12 - 
      11418*T1^9*T2^12 + 1908*T1^10*T2^12 + 9782*T1^11*T2^12 - 
      14580*T1^12*T2^12 + 8307*T1^13*T2^12 - 1184*T1^14*T2^12 - 
      2030*T1^15*T2^12 + 761*T1^16*T2^12 + 17*T1^5*T2^13 - 798*T1^6*T2^13 + 
      3023*T1^7*T2^13 - 3604*T1^8*T2^13 + 309*T1^9*T2^13 + 6792*T1^10*T2^13 - 
      10578*T1^11*T2^13 + 8307*T1^12*T2^13 - 1690*T1^13*T2^13 - 
      2161*T1^14*T2^13 + 2394*T1^15*T2^13 - 643*T1^16*T2^13 + 
      117*T1^6*T2^14 - 162*T1^7*T2^14 - 1028*T1^8*T2^14 + 3343*T1^9*T2^14 - 
      5408*T1^10*T2^14 + 4496*T1^11*T2^14 - 1184*T1^12*T2^14 - 
      2161*T1^13*T2^14 + 2812*T1^14*T2^14 - 1698*T1^15*T2^14 + 
      373*T1^16*T2^14 - 91*T1^7*T2^15 + 412*T1^8*T2^15 - 642*T1^9*T2^15 + 
      306*T1^10*T2^15 + 850*T1^11*T2^15 - 2030*T1^12*T2^15 + 
      2394*T1^13*T2^15 - 1698*T1^14*T2^15 + 748*T1^15*T2^15 - 
      139*T1^16*T2^15 + 23*T1^8*T2^16 - 139*T1^9*T2^16 + 373*T1^10*T2^16 - 
      643*T1^11*T2^16 + 761*T1^12*T2^16 - 643*T1^13*T2^16 + 373*T1^14*T2^16 - 
      139*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 497] -> 
  {(1 - 7*T + 23*T^2 - 45*T^3 + 57*T^4 - 45*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 92*T1^2 + 180*T1^3 - 228*T1^4 + 180*T1^5 - 92*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 497*T1^2*T2 - 777*T1^3*T2 + 
     651*T1^4*T2 - 63*T1^5*T2 - 301*T1^6*T2 + 287*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 92*T2^2 + 497*T1*T2^2 - 1133*T1^2*T2^2 + 1085*T1^3*T2^2 + 
     299*T1^4*T2^2 - 2147*T1^5*T2^2 + 1863*T1^6*T2^2 - 663*T1^7*T2^2 - 
     121*T1^8*T2^2 + 175*T1^9*T2^2 - 46*T1^10*T2^2 + 180*T2^3 - 777*T1*T2^3 + 
     1085*T1^2*T2^3 + 764*T1^3*T2^3 - 4306*T1^4*T2^3 + 5924*T1^5*T2^3 - 
     1318*T1^6*T2^3 - 1998*T1^7*T2^3 + 2144*T1^8*T2^3 - 732*T1^9*T2^3 + 
     7*T1^10*T2^3 + 45*T1^11*T2^3 - 228*T2^4 + 651*T1*T2^4 + 299*T1^2*T2^4 - 
     4306*T1^3*T2^4 + 7349*T1^4*T2^4 - 3471*T1^5*T2^4 - 8391*T1^6*T2^4 + 
     9285*T1^7*T2^4 - 3823*T1^8*T2^4 - 706*T1^9*T2^4 + 1133*T1^10*T2^4 - 
     315*T1^11*T2^4 + 180*T2^5 - 63*T1*T2^5 - 2147*T1^2*T2^5 + 
     5924*T1^3*T2^5 - 3471*T1^4*T2^5 - 8515*T1^5*T2^5 + 21529*T1^6*T2^5 - 
     9395*T1^7*T2^5 - 4393*T1^8*T2^5 + 7716*T1^9*T2^5 - 3202*T1^10*T2^5 + 
     22*T1^11*T2^5 + 315*T1^12*T2^5 - 45*T1^13*T2^5 - 92*T2^6 - 301*T1*T2^6 + 
     1863*T1^2*T2^6 - 1318*T1^3*T2^6 - 8391*T1^4*T2^6 + 21529*T1^5*T2^6 - 
     21056*T1^6*T2^6 - 9662*T1^7*T2^6 + 23248*T1^8*T2^6 - 13757*T1^9*T2^6 + 
     459*T1^10*T2^6 + 3098*T1^11*T2^6 - 1161*T1^12*T2^6 - 7*T1^13*T2^6 + 
     46*T1^14*T2^6 + 28*T2^7 + 287*T1*T2^7 - 663*T1^2*T2^7 - 1998*T1^3*T2^7 + 
     9285*T1^4*T2^7 - 9395*T1^5*T2^7 - 9662*T1^6*T2^7 + 41286*T1^7*T2^7 - 
     32962*T1^8*T2^7 + 1941*T1^9*T2^7 + 12805*T1^10*T2^7 - 8178*T1^11*T2^7 + 
     862*T1^12*T2^7 + 740*T1^13*T2^7 - 175*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 121*T1^2*T2^8 + 2144*T1^3*T2^8 - 3823*T1^4*T2^8 - 
     4393*T1^5*T2^8 + 23248*T1^6*T2^8 - 32962*T1^7*T2^8 + 2328*T1^8*T2^8 + 
     30742*T1^9*T2^8 - 25202*T1^10*T2^8 + 5885*T1^11*T2^8 + 3721*T1^12*T2^8 - 
     2216*T1^13*T2^8 + 121*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 175*T1^2*T2^9 - 732*T1^3*T2^9 - 706*T1^4*T2^9 + 
     7716*T1^5*T2^9 - 13757*T1^6*T2^9 + 1941*T1^7*T2^9 + 30742*T1^8*T2^9 - 
     43506*T1^9*T2^9 + 13544*T1^10*T2^9 + 8443*T1^11*T2^9 - 9747*T1^12*T2^9 + 
     2154*T1^13*T2^9 + 671*T1^14*T2^9 - 287*T1^15*T2^9 - 28*T1^16*T2^9 - 
     46*T1^2*T2^10 + 7*T1^3*T2^10 + 1133*T1^4*T2^10 - 3202*T1^5*T2^10 + 
     459*T1^6*T2^10 + 12805*T1^7*T2^10 - 25202*T1^8*T2^10 + 
     13544*T1^9*T2^10 + 19102*T1^10*T2^10 - 22481*T1^11*T2^10 + 
     9309*T1^12*T2^10 + 1214*T1^13*T2^10 - 1891*T1^14*T2^10 + 
     301*T1^15*T2^10 + 92*T1^16*T2^10 + 45*T1^3*T2^11 - 315*T1^4*T2^11 + 
     22*T1^5*T2^11 + 3098*T1^6*T2^11 - 8178*T1^7*T2^11 + 5885*T1^8*T2^11 + 
     8443*T1^9*T2^11 - 22481*T1^10*T2^11 + 10007*T1^11*T2^11 + 
     3009*T1^12*T2^11 - 6028*T1^13*T2^11 + 2191*T1^14*T2^11 + 
     63*T1^15*T2^11 - 180*T1^16*T2^11 + 315*T1^5*T2^12 - 1161*T1^6*T2^12 + 
     862*T1^7*T2^12 + 3721*T1^8*T2^12 - 9747*T1^9*T2^12 + 9309*T1^10*T2^12 + 
     3009*T1^11*T2^12 - 7451*T1^12*T2^12 + 4462*T1^13*T2^12 - 
     327*T1^14*T2^12 - 651*T1^15*T2^12 + 228*T1^16*T2^12 - 45*T1^5*T2^13 - 
     7*T1^6*T2^13 + 740*T1^7*T2^13 - 2216*T1^8*T2^13 + 2154*T1^9*T2^13 + 
     1214*T1^10*T2^13 - 6028*T1^11*T2^13 + 4462*T1^12*T2^13 - 
     836*T1^13*T2^13 - 1077*T1^14*T2^13 + 777*T1^15*T2^13 - 180*T1^16*T2^13 + 
     46*T1^6*T2^14 - 175*T1^7*T2^14 + 121*T1^8*T2^14 + 671*T1^9*T2^14 - 
     1891*T1^10*T2^14 + 2191*T1^11*T2^14 - 327*T1^12*T2^14 - 
     1077*T1^13*T2^14 + 1133*T1^14*T2^14 - 497*T1^15*T2^14 + 92*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 287*T1^9*T2^15 + 301*T1^10*T2^15 + 
     63*T1^11*T2^15 - 651*T1^12*T2^15 + 777*T1^13*T2^15 - 497*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     92*T1^10*T2^16 - 180*T1^11*T2^16 + 228*T1^12*T2^16 - 180*T1^13*T2^16 + 
     92*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 498] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6))/T^4), 
   -((-5 + 35*T1 - 115*T1^2 + 225*T1^3 - 275*T1^4 + 225*T1^5 - 115*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 931*T1^3*T2 + 
      665*T1^4*T2 - 35*T1^5*T2 - 455*T1^6*T2 + 399*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1342*T1^2*T2^2 + 1146*T1^3*T2^2 + 
      922*T1^4*T2^2 - 2522*T1^5*T2^2 + 2394*T1^6*T2^2 - 602*T1^7*T2^2 - 
      330*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 225*T2^3 - 
      931*T1*T2^3 + 1146*T1^2*T2^3 + 1432*T1^3*T2^3 - 6200*T1^4*T2^3 + 
      5686*T1^5*T2^3 - 1234*T1^6*T2^3 - 3622*T1^7*T2^3 + 2812*T1^8*T2^3 - 
      671*T1^9*T2^3 - 147*T1^10*T2^3 + 90*T1^11*T2^3 - 275*T2^4 + 
      665*T1*T2^4 + 922*T1^2*T2^4 - 6200*T1^3*T2^4 + 9452*T1^4*T2^4 + 
      598*T1^5*T2^4 - 10350*T1^6*T2^4 + 12398*T1^7*T2^4 - 2608*T1^8*T2^4 - 
      2240*T1^9*T2^4 + 1572*T1^10*T2^4 - 245*T1^11*T2^4 - 55*T1^12*T2^4 + 
      225*T2^5 - 35*T1*T2^5 - 2522*T1^2*T2^5 + 5686*T1^3*T2^5 + 
      598*T1^4*T2^5 - 20789*T1^5*T2^5 + 22975*T1^6*T2^5 - 8735*T1^7*T2^5 - 
      11669*T1^8*T2^5 + 10303*T1^9*T2^5 - 2474*T1^10*T2^5 - 647*T1^11*T2^5 + 
      385*T1^12*T2^5 - 115*T2^6 - 455*T1*T2^6 + 2394*T1^2*T2^6 - 
      1234*T1^3*T2^6 - 10350*T1^4*T2^6 + 22975*T1^5*T2^6 - 1609*T1^6*T2^6 - 
      24973*T1^7*T2^6 + 34507*T1^8*T2^6 - 11335*T1^9*T2^6 - 3800*T1^10*T2^6 + 
      3826*T1^11*T2^6 - 722*T1^12*T2^6 - 161*T1^13*T2^6 + 23*T1^14*T2^6 + 
      35*T2^7 + 399*T1*T2^7 - 602*T1^2*T2^7 - 3622*T1^3*T2^7 + 
      12398*T1^4*T2^7 - 8735*T1^5*T2^7 - 24973*T1^6*T2^7 + 38896*T1^7*T2^7 - 
      21222*T1^8*T2^7 - 13280*T1^9*T2^7 + 17775*T1^10*T2^7 - 
      5687*T1^11*T2^7 - 672*T1^12*T2^7 + 801*T1^13*T2^7 - 63*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 330*T1^2*T2^8 + 2812*T1^3*T2^8 - 
      2608*T1^4*T2^8 - 11669*T1^5*T2^8 + 34507*T1^6*T2^8 - 21222*T1^7*T2^8 - 
      13596*T1^8*T2^8 + 34382*T1^9*T2^8 - 18175*T1^10*T2^8 - 
      1979*T1^11*T2^8 + 4920*T1^12*T2^8 - 1548*T1^13*T2^8 - 88*T1^14*T2^8 + 
      77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 287*T1^2*T2^9 - 
      671*T1^3*T2^9 - 2240*T1^4*T2^9 + 10303*T1^5*T2^9 - 11335*T1^6*T2^9 - 
      13280*T1^7*T2^9 + 34382*T1^8*T2^9 - 25736*T1^9*T2^9 - 1587*T1^10*T2^9 + 
      15175*T1^11*T2^9 - 7782*T1^12*T2^9 + 710*T1^13*T2^9 + 732*T1^14*T2^9 - 
      175*T1^15*T2^9 - 21*T1^16*T2^9 - 69*T1^2*T2^10 - 147*T1^3*T2^10 + 
      1572*T1^4*T2^10 - 2474*T1^5*T2^10 - 3800*T1^6*T2^10 + 
      17775*T1^7*T2^10 - 18175*T1^8*T2^10 - 1587*T1^9*T2^10 + 
      17941*T1^10*T2^10 - 16535*T1^11*T2^10 + 2750*T1^12*T2^10 + 
      2586*T1^13*T2^10 - 1544*T1^14*T2^10 + 147*T1^15*T2^10 + 
      69*T1^16*T2^10 + 90*T1^3*T2^11 - 245*T1^4*T2^11 - 647*T1^5*T2^11 + 
      3826*T1^6*T2^11 - 5687*T1^7*T2^11 - 1979*T1^8*T2^11 + 
      15175*T1^9*T2^11 - 16535*T1^10*T2^11 + 7141*T1^11*T2^11 + 
      4018*T1^12*T2^11 - 4334*T1^13*T2^11 + 1228*T1^14*T2^11 + 
      175*T1^15*T2^11 - 135*T1^16*T2^11 - 55*T1^4*T2^12 + 385*T1^5*T2^12 - 
      722*T1^6*T2^12 - 672*T1^7*T2^12 + 4920*T1^8*T2^12 - 7782*T1^9*T2^12 + 
      2750*T1^10*T2^12 + 4018*T1^11*T2^12 - 7140*T1^12*T2^12 + 
      3288*T1^13*T2^12 - 72*T1^14*T2^12 - 525*T1^15*T2^12 + 165*T1^16*T2^12 - 
      161*T1^6*T2^13 + 801*T1^7*T2^13 - 1548*T1^8*T2^13 + 710*T1^9*T2^13 + 
      2586*T1^10*T2^13 - 4334*T1^11*T2^13 + 3288*T1^12*T2^13 - 
      168*T1^13*T2^13 - 1016*T1^14*T2^13 + 623*T1^15*T2^13 - 
      135*T1^16*T2^13 + 23*T1^6*T2^14 - 63*T1^7*T2^14 - 88*T1^8*T2^14 + 
      732*T1^9*T2^14 - 1544*T1^10*T2^14 + 1228*T1^11*T2^14 - 72*T1^12*T2^14 - 
      1016*T1^13*T2^14 + 924*T1^14*T2^14 - 385*T1^15*T2^14 + 69*T1^16*T2^14 - 
      14*T1^7*T2^15 + 77*T1^8*T2^15 - 175*T1^9*T2^15 + 147*T1^10*T2^15 + 
      175*T1^11*T2^15 - 525*T1^12*T2^15 + 623*T1^13*T2^15 - 385*T1^14*T2^15 + 
      133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 
      69*T1^10*T2^16 - 135*T1^11*T2^16 + 165*T1^12*T2^16 - 135*T1^13*T2^16 + 
      69*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 499] -> 
  {(1 - 7*T + 25*T^2 - 51*T^3 + 65*T^4 - 51*T^5 + 25*T^6 - 7*T^7 + T^8)/T^4, 
   ((1 - 7*T1 + 25*T1^2 - 51*T1^3 + 65*T1^4 - 51*T1^5 + 25*T1^6 - 7*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 21*T1*T2 + 54*T1^2*T2^2 - 72*T1^3*T2^3 + 
      54*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 7*T2 + 25*T2^2 - 
      51*T2^3 + 65*T2^4 - 51*T2^5 + 25*T2^6 - 7*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 500] -> 
  {-((1 - 7*T + 21*T^2 - 35*T^3 + 39*T^4 - 35*T^5 + 21*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 105*T1^2 + 175*T1^3 - 195*T1^4 + 175*T1^5 - 
      105*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 539*T1^2*T2 - 
      637*T1^3*T2 + 385*T1^4*T2 - 133*T1^5*T2 - 245*T1^6*T2 + 343*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 105*T2^2 + 539*T1*T2^2 - 896*T1^2*T2^2 - 
      4*T1^3*T2^2 + 1458*T1^4*T2^2 - 1788*T1^5*T2^2 + 2214*T1^6*T2^2 - 
      1180*T1^7*T2^2 - 56*T1^8*T2^2 + 245*T1^9*T2^2 - 63*T1^10*T2^2 + 
      175*T2^3 - 637*T1*T2^3 - 4*T1^2*T2^3 + 3242*T1^3*T2^3 - 
      5072*T1^4*T2^3 + 2902*T1^5*T2^3 - 2096*T1^6*T2^3 - 1670*T1^7*T2^3 + 
      2906*T1^8*T2^3 - 1033*T1^9*T2^3 - 49*T1^10*T2^3 + 70*T1^11*T2^3 - 
      195*T2^4 + 385*T1*T2^4 + 1458*T1^2*T2^4 - 5072*T1^3*T2^4 + 
      2405*T1^4*T2^4 + 5103*T1^5*T2^4 - 5627*T1^6*T2^4 + 9555*T1^7*T2^4 - 
      5387*T1^8*T2^4 - 732*T1^9*T2^4 + 1304*T1^10*T2^4 - 217*T1^11*T2^4 - 
      39*T1^12*T2^4 + 175*T2^5 - 133*T1*T2^5 - 1788*T1^2*T2^5 + 
      2902*T1^3*T2^5 + 5103*T1^4*T2^5 - 12739*T1^5*T2^5 + 6673*T1^6*T2^5 - 
      6753*T1^7*T2^5 - 2953*T1^8*T2^5 + 7182*T1^9*T2^5 - 2292*T1^10*T2^5 - 
      465*T1^11*T2^5 + 273*T1^12*T2^5 - 105*T2^6 - 245*T1*T2^6 + 
      2214*T1^2*T2^6 - 2096*T1^3*T2^6 - 5627*T1^4*T2^6 + 6673*T1^5*T2^6 + 
      6048*T1^6*T2^6 - 5268*T1^7*T2^6 + 10612*T1^8*T2^6 - 6361*T1^9*T2^6 - 
      2253*T1^10*T2^6 + 2608*T1^11*T2^6 - 362*T1^12*T2^6 - 147*T1^13*T2^6 + 
      21*T1^14*T2^6 + 35*T2^7 + 343*T1*T2^7 - 1180*T1^2*T2^7 - 
      1670*T1^3*T2^7 + 9555*T1^4*T2^7 - 6753*T1^5*T2^7 - 5268*T1^6*T2^7 - 
      1090*T1^7*T2^7 + 1192*T1^8*T2^7 - 4827*T1^9*T2^7 + 7457*T1^10*T2^7 - 
      2016*T1^11*T2^7 - 1320*T1^12*T2^7 + 731*T1^13*T2^7 - 49*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 56*T1^2*T2^8 + 2906*T1^3*T2^8 - 
      5387*T1^4*T2^8 - 2953*T1^5*T2^8 + 10612*T1^6*T2^8 + 1192*T1^7*T2^8 - 
      2928*T1^8*T2^8 + 1724*T1^9*T2^8 - 1078*T1^10*T2^8 - 4507*T1^11*T2^8 + 
      4529*T1^12*T2^8 - 1098*T1^13*T2^8 - 182*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 245*T1^2*T2^9 - 1033*T1^3*T2^9 - 
      732*T1^4*T2^9 + 7182*T1^5*T2^9 - 6361*T1^6*T2^9 - 4827*T1^7*T2^9 + 
      1724*T1^8*T2^9 + 4006*T1^9*T2^9 - 4386*T1^10*T2^9 + 7849*T1^11*T2^9 - 
      4389*T1^12*T2^9 - 382*T1^13*T2^9 + 878*T1^14*T2^9 - 147*T1^15*T2^9 - 
      21*T1^16*T2^9 - 63*T1^2*T2^10 - 49*T1^3*T2^10 + 1304*T1^4*T2^10 - 
      2292*T1^5*T2^10 - 2253*T1^6*T2^10 + 7457*T1^7*T2^10 - 1078*T1^8*T2^10 - 
      4386*T1^9*T2^10 + 3486*T1^10*T2^10 - 5577*T1^11*T2^10 + 
      1121*T1^12*T2^10 + 2412*T1^13*T2^10 - 1272*T1^14*T2^10 + 
      49*T1^15*T2^10 + 63*T1^16*T2^10 + 70*T1^3*T2^11 - 217*T1^4*T2^11 - 
      465*T1^5*T2^11 + 2608*T1^6*T2^11 - 2016*T1^7*T2^11 - 4507*T1^8*T2^11 + 
      7849*T1^9*T2^11 - 5577*T1^10*T2^11 + 5279*T1^11*T2^11 + 
      63*T1^12*T2^11 - 2586*T1^13*T2^11 + 858*T1^14*T2^11 + 189*T1^15*T2^11 - 
      105*T1^16*T2^11 - 39*T1^4*T2^12 + 273*T1^5*T2^12 - 362*T1^6*T2^12 - 
      1320*T1^7*T2^12 + 4529*T1^8*T2^12 - 4389*T1^9*T2^12 + 
      1121*T1^10*T2^12 + 63*T1^11*T2^12 - 3263*T1^12*T2^12 + 
      3020*T1^13*T2^12 - 516*T1^14*T2^12 - 329*T1^15*T2^12 + 
      117*T1^16*T2^12 - 147*T1^6*T2^13 + 731*T1^7*T2^13 - 1098*T1^8*T2^13 - 
      382*T1^9*T2^13 + 2412*T1^10*T2^13 - 2586*T1^11*T2^13 + 
      3020*T1^12*T2^13 - 1434*T1^13*T2^13 - 298*T1^14*T2^13 + 
      441*T1^15*T2^13 - 105*T1^16*T2^13 + 21*T1^6*T2^14 - 49*T1^7*T2^14 - 
      182*T1^8*T2^14 + 878*T1^9*T2^14 - 1272*T1^10*T2^14 + 858*T1^11*T2^14 - 
      516*T1^12*T2^14 - 298*T1^13*T2^14 + 658*T1^14*T2^14 - 343*T1^15*T2^14 + 
      63*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 147*T1^9*T2^15 + 
      49*T1^10*T2^15 + 189*T1^11*T2^15 - 329*T1^12*T2^15 + 441*T1^13*T2^15 - 
      343*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 63*T1^10*T2^16 - 105*T1^11*T2^16 + 117*T1^12*T2^16 - 
      105*T1^13*T2^16 + 63*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 501] -> 
  {-((1 - 7*T + 23*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 23*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 115*T1^2 + 215*T1^3 - 255*T1^4 + 215*T1^5 - 
      115*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 
      861*T1^3*T2 + 581*T1^4*T2 - 77*T1^5*T2 - 399*T1^6*T2 + 399*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1342*T1^2*T2^2 + 
      918*T1^3*T2^2 + 988*T1^4*T2^2 - 2106*T1^5*T2^2 + 2276*T1^6*T2^2 - 
      738*T1^7*T2^2 - 330*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 
      215*T2^3 - 861*T1*T2^3 + 918*T1^2*T2^3 + 2294*T1^3*T2^3 - 
      6294*T1^4*T2^3 + 4874*T1^5*T2^3 - 1746*T1^6*T2^3 - 3150*T1^7*T2^3 + 
      3140*T1^8*T2^3 - 761*T1^9*T2^3 - 119*T1^10*T2^3 + 86*T1^11*T2^3 - 
      255*T2^4 + 581*T1*T2^4 + 988*T1^2*T2^4 - 6294*T1^3*T2^4 + 
      6566*T1^4*T2^4 + 4418*T1^5*T2^4 - 10820*T1^6*T2^4 + 13930*T1^7*T2^4 - 
      4906*T1^8*T2^4 - 1822*T1^9*T2^4 + 1466*T1^10*T2^4 - 245*T1^11*T2^4 - 
      51*T1^12*T2^4 + 215*T2^5 - 77*T1*T2^5 - 2106*T1^2*T2^5 + 
      4874*T1^3*T2^5 + 4418*T1^4*T2^5 - 21829*T1^5*T2^5 + 18955*T1^6*T2^5 - 
      9775*T1^7*T2^5 - 9213*T1^8*T2^5 + 10907*T1^9*T2^5 - 2602*T1^10*T2^5 - 
      543*T1^11*T2^5 + 357*T1^12*T2^5 - 115*T2^6 - 399*T1*T2^6 + 
      2276*T1^2*T2^6 - 1746*T1^3*T2^6 - 10820*T1^4*T2^6 + 18955*T1^5*T2^6 + 
      2594*T1^6*T2^6 - 17966*T1^7*T2^6 + 27974*T1^8*T2^6 - 11235*T1^9*T2^6 - 
      3942*T1^10*T2^6 + 3590*T1^11*T2^6 - 632*T1^12*T2^6 - 161*T1^13*T2^6 + 
      23*T1^14*T2^6 + 35*T2^7 + 399*T1*T2^7 - 738*T1^2*T2^7 - 
      3150*T1^3*T2^7 + 13930*T1^4*T2^7 - 9775*T1^5*T2^7 - 17966*T1^6*T2^7 + 
      21686*T1^7*T2^7 - 12392*T1^8*T2^7 - 11021*T1^9*T2^7 + 
      16035*T1^10*T2^7 - 4651*T1^11*T2^7 - 982*T1^12*T2^7 + 803*T1^13*T2^7 - 
      63*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 330*T1^2*T2^8 + 
      3140*T1^3*T2^8 - 4906*T1^4*T2^8 - 9213*T1^5*T2^8 + 27974*T1^6*T2^8 - 
      12392*T1^7*T2^8 - 8712*T1^8*T2^8 + 21388*T1^9*T2^8 - 11812*T1^10*T2^8 - 
      4195*T1^11*T2^8 + 5642*T1^12*T2^8 - 1556*T1^13*T2^8 - 88*T1^14*T2^8 + 
      77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 287*T1^2*T2^9 - 
      761*T1^3*T2^9 - 1822*T1^4*T2^9 + 10907*T1^5*T2^9 - 11235*T1^6*T2^9 - 
      11021*T1^7*T2^9 + 21388*T1^8*T2^9 - 12690*T1^9*T2^9 - 4076*T1^10*T2^9 + 
      14575*T1^11*T2^9 - 7674*T1^12*T2^9 + 346*T1^13*T2^9 + 780*T1^14*T2^9 - 
      175*T1^15*T2^9 - 21*T1^16*T2^9 - 69*T1^2*T2^10 - 119*T1^3*T2^10 + 
      1466*T1^4*T2^10 - 2602*T1^5*T2^10 - 3942*T1^6*T2^10 + 
      16035*T1^7*T2^10 - 11812*T1^8*T2^10 - 4076*T1^9*T2^10 + 
      13568*T1^10*T2^10 - 14155*T1^11*T2^10 + 2936*T1^12*T2^10 + 
      2734*T1^13*T2^10 - 1442*T1^14*T2^10 + 119*T1^15*T2^10 + 
      69*T1^16*T2^10 + 86*T1^3*T2^11 - 245*T1^4*T2^11 - 543*T1^5*T2^11 + 
      3590*T1^6*T2^11 - 4651*T1^7*T2^11 - 4195*T1^8*T2^11 + 
      14575*T1^9*T2^11 - 14155*T1^10*T2^11 + 8421*T1^11*T2^11 + 
      1838*T1^12*T2^11 - 3886*T1^13*T2^11 + 1020*T1^14*T2^11 + 
      189*T1^15*T2^11 - 129*T1^16*T2^11 - 51*T1^4*T2^12 + 357*T1^5*T2^12 - 
      632*T1^6*T2^12 - 982*T1^7*T2^12 + 5642*T1^8*T2^12 - 7674*T1^9*T2^12 + 
      2936*T1^10*T2^12 + 1838*T1^11*T2^12 - 5830*T1^12*T2^12 + 
      3490*T1^13*T2^12 - 154*T1^14*T2^12 - 469*T1^15*T2^12 + 
      153*T1^16*T2^12 - 161*T1^6*T2^13 + 803*T1^7*T2^13 - 1556*T1^8*T2^13 + 
      346*T1^9*T2^13 + 2734*T1^10*T2^13 - 3886*T1^11*T2^13 + 
      3490*T1^12*T2^13 - 710*T1^13*T2^13 - 876*T1^14*T2^13 + 
      581*T1^15*T2^13 - 129*T1^16*T2^13 + 23*T1^6*T2^14 - 63*T1^7*T2^14 - 
      88*T1^8*T2^14 + 780*T1^9*T2^14 - 1442*T1^10*T2^14 + 1020*T1^11*T2^14 - 
      154*T1^12*T2^14 - 876*T1^13*T2^14 + 924*T1^14*T2^14 - 385*T1^15*T2^14 + 
      69*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 175*T1^9*T2^15 + 
      119*T1^10*T2^15 + 189*T1^11*T2^15 - 469*T1^12*T2^15 + 581*T1^13*T2^15 - 
      385*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 
      21*T1^9*T2^16 + 69*T1^10*T2^16 - 129*T1^11*T2^16 + 153*T1^12*T2^16 - 
      129*T1^13*T2^16 + 69*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 502] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 15*T^4 - 15*T^5 + 13*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 367*T1^2 + 423*T1^3 - 423*T1^4 + 423*T1^5 - 
      367*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 688*T1^2*T2 - 
      432*T1^3*T2 + 240*T1^4*T2 - 240*T1^5*T2 + 16*T1^6*T2 + 352*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 367*T2^2 + 688*T1*T2^2 + 462*T1^2*T2^2 - 
      1250*T1^3*T2^2 + 1384*T1^4*T2^2 - 1132*T1^5*T2^2 + 1488*T1^6*T2^2 - 
      1614*T1^7*T2^2 + 1034*T1^8*T2^2 + 272*T1^9*T2^2 - 263*T1^10*T2^2 + 
      423*T2^3 - 432*T1*T2^3 - 1250*T1^2*T2^3 + 1122*T1^3*T2^3 - 
      482*T1^4*T2^3 + 2*T1^5*T2^3 - 598*T1^6*T2^3 + 360*T1^7*T2^3 + 
      468*T1^8*T2^3 - 1380*T1^9*T2^3 + 80*T1^10*T2^3 + 243*T1^11*T2^3 - 
      423*T2^4 + 240*T1*T2^4 + 1384*T1^2*T2^4 - 482*T1^3*T2^4 + 
      205*T1^4*T2^4 - 283*T1^5*T2^4 + 1165*T1^6*T2^4 - 643*T1^7*T2^4 + 
      85*T1^8*T2^4 + 358*T1^9*T2^4 + 1024*T1^10*T2^4 - 240*T1^11*T2^4 - 
      183*T1^12*T2^4 + 423*T2^5 - 240*T1*T2^5 - 1132*T1^2*T2^5 + 
      2*T1^3*T2^5 - 283*T1^4*T2^5 + 361*T1^5*T2^5 - 925*T1^6*T2^5 + 
      155*T1^7*T2^5 + 91*T1^8*T2^5 - 508*T1^9*T2^5 - 478*T1^10*T2^5 - 
      592*T1^11*T2^5 + 240*T1^12*T2^5 + 123*T1^13*T2^5 - 367*T2^6 + 
      16*T1*T2^6 + 1488*T1^2*T2^6 - 598*T1^3*T2^6 + 1165*T1^4*T2^6 - 
      925*T1^5*T2^6 + 1160*T1^6*T2^6 - 394*T1^7*T2^6 + 296*T1^8*T2^6 + 
      245*T1^9*T2^6 + 595*T1^10*T2^6 + 182*T1^11*T2^6 + 456*T1^12*T2^6 - 
      272*T1^13*T2^6 - 55*T1^14*T2^6 + 227*T2^7 + 352*T1*T2^7 - 
      1614*T1^2*T2^7 + 360*T1^3*T2^7 - 643*T1^4*T2^7 + 155*T1^5*T2^7 - 
      394*T1^6*T2^7 + 12*T1^7*T2^7 - 158*T1^8*T2^7 - 165*T1^9*T2^7 - 
      745*T1^10*T2^7 + 122*T1^11*T2^7 - 490*T1^12*T2^7 - 80*T1^13*T2^7 + 
      208*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 
      1034*T1^2*T2^8 + 468*T1^3*T2^8 + 85*T1^4*T2^8 + 91*T1^5*T2^8 + 
      296*T1^6*T2^8 - 158*T1^7*T2^8 + 264*T1^8*T2^8 - 22*T1^9*T2^8 + 
      590*T1^10*T2^8 + 181*T1^11*T2^8 - 7*T1^12*T2^8 + 472*T1^13*T2^8 - 
      270*T1^14*T2^8 - 38*T1^15*T2^8 + 7*T1^16*T2^8 + 195*T1*T2^9 + 
      272*T1^2*T2^9 - 1380*T1^3*T2^9 + 358*T1^4*T2^9 - 508*T1^5*T2^9 + 
      245*T1^6*T2^9 - 165*T1^7*T2^9 - 22*T1^8*T2^9 - 192*T1^9*T2^9 + 
      64*T1^10*T2^9 - 655*T1^11*T2^9 + 257*T1^12*T2^9 - 492*T1^13*T2^9 + 
      154*T1^14*T2^9 + 128*T1^15*T2^9 - 29*T1^16*T2^9 - 263*T1^2*T2^10 + 
      80*T1^3*T2^10 + 1024*T1^4*T2^10 - 478*T1^5*T2^10 + 595*T1^6*T2^10 - 
      745*T1^7*T2^10 + 590*T1^8*T2^10 + 64*T1^9*T2^10 - 274*T1^10*T2^10 + 
      425*T1^11*T2^10 + 25*T1^12*T2^10 + 302*T1^13*T2^10 - 8*T1^14*T2^10 - 
      208*T1^15*T2^10 + 49*T1^16*T2^10 + 243*T1^3*T2^11 - 240*T1^4*T2^11 - 
      592*T1^5*T2^11 + 182*T1^6*T2^11 + 122*T1^7*T2^11 + 181*T1^8*T2^11 - 
      655*T1^9*T2^11 + 425*T1^10*T2^11 - 89*T1^11*T2^11 - 103*T1^12*T2^11 - 
      298*T1^13*T2^11 - 52*T1^14*T2^11 + 240*T1^15*T2^11 - 57*T1^16*T2^11 - 
      183*T1^4*T2^12 + 240*T1^5*T2^12 + 456*T1^6*T2^12 - 490*T1^7*T2^12 - 
      7*T1^8*T2^12 + 257*T1^9*T2^12 + 25*T1^10*T2^12 - 103*T1^11*T2^12 - 
      127*T1^12*T2^12 + 350*T1^13*T2^12 + 96*T1^14*T2^12 - 240*T1^15*T2^12 + 
      57*T1^16*T2^12 + 123*T1^5*T2^13 - 272*T1^6*T2^13 - 80*T1^7*T2^13 + 
      472*T1^8*T2^13 - 492*T1^9*T2^13 + 302*T1^10*T2^13 - 298*T1^11*T2^13 + 
      350*T1^12*T2^13 - 182*T1^13*T2^13 - 210*T1^14*T2^13 + 240*T1^15*T2^13 - 
      57*T1^16*T2^13 - 55*T1^6*T2^14 + 208*T1^7*T2^14 - 270*T1^8*T2^14 + 
      154*T1^9*T2^14 - 8*T1^10*T2^14 - 52*T1^11*T2^14 + 96*T1^12*T2^14 - 
      210*T1^13*T2^14 + 302*T1^14*T2^14 - 208*T1^15*T2^14 + 49*T1^16*T2^14 + 
      3*T1^7*T2^15 - 38*T1^8*T2^15 + 128*T1^9*T2^15 - 208*T1^10*T2^15 + 
      240*T1^11*T2^15 - 240*T1^12*T2^15 + 240*T1^13*T2^15 - 208*T1^14*T2^15 + 
      122*T1^15*T2^15 - 29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 
      49*T1^10*T2^16 - 57*T1^11*T2^16 + 57*T1^12*T2^16 - 57*T1^13*T2^16 + 
      49*T1^14*T2^16 - 29*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 503] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6))/T^4), 
   -((-5 + 35*T1 - 95*T1^2 + 135*T1^3 - 135*T1^4 + 135*T1^5 - 95*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 469*T1^2*T2 - 413*T1^3*T2 + 
      189*T1^4*T2 - 189*T1^5*T2 - 91*T1^6*T2 + 287*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 95*T2^2 + 469*T1*T2^2 - 492*T1^2*T2^2 - 752*T1^3*T2^2 + 
      1636*T1^4*T2^2 - 1188*T1^5*T2^2 + 1940*T1^6*T2^2 - 1512*T1^7*T2^2 + 
      192*T1^8*T2^2 + 203*T1^9*T2^2 - 57*T1^10*T2^2 + 135*T2^3 - 
      413*T1*T2^3 - 752*T1^2*T2^3 + 3706*T1^3*T2^3 - 3540*T1^4*T2^3 + 
      1028*T1^5*T2^3 - 2428*T1^6*T2^3 - 176*T1^7*T2^3 + 2516*T1^8*T2^3 - 
      1227*T1^9*T2^3 + 21*T1^10*T2^3 + 54*T1^11*T2^3 - 135*T2^4 + 
      189*T1*T2^4 + 1636*T1^2*T2^4 - 3540*T1^3*T2^4 - 1048*T1^4*T2^4 + 
      5462*T1^5*T2^4 - 2102*T1^6*T2^4 + 6326*T1^7*T2^4 - 5800*T1^8*T2^4 + 
      348*T1^9*T2^4 + 1042*T1^10*T2^4 - 189*T1^11*T2^4 - 27*T1^12*T2^4 + 
      135*T2^5 - 189*T1*T2^5 - 1188*T1^2*T2^5 + 1028*T1^3*T2^5 + 
      5462*T1^4*T2^5 - 7143*T1^5*T2^5 + 415*T1^6*T2^5 - 4715*T1^7*T2^5 + 
      957*T1^8*T2^5 + 4355*T1^9*T2^5 - 1996*T1^10*T2^5 - 297*T1^11*T2^5 + 
      189*T1^12*T2^5 - 95*T2^6 - 91*T1*T2^6 + 1940*T1^2*T2^6 - 
      2428*T1^3*T2^6 - 2102*T1^4*T2^6 + 415*T1^5*T2^6 + 6758*T1^6*T2^6 - 
      268*T1^7*T2^6 + 1898*T1^8*T2^6 - 3527*T1^9*T2^6 - 968*T1^10*T2^6 + 
      1676*T1^11*T2^6 - 160*T1^12*T2^6 - 133*T1^13*T2^6 + 19*T1^14*T2^6 + 
      35*T2^7 + 287*T1*T2^7 - 1512*T1^2*T2^7 - 176*T1^3*T2^7 + 
      6326*T1^4*T2^7 - 4715*T1^5*T2^7 - 268*T1^6*T2^7 - 8284*T1^7*T2^7 + 
      6246*T1^8*T2^7 - 1371*T1^9*T2^7 + 2791*T1^10*T2^7 - 451*T1^11*T2^7 - 
      1444*T1^12*T2^7 + 673*T1^13*T2^7 - 35*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 + 192*T1^2*T2^8 + 2516*T1^3*T2^8 - 
      5800*T1^4*T2^8 + 957*T1^5*T2^8 + 1898*T1^6*T2^8 + 6246*T1^7*T2^8 - 
      900*T1^8*T2^8 - 5734*T1^9*T2^8 + 2496*T1^10*T2^8 - 4065*T1^11*T2^8 + 
      3708*T1^12*T2^8 - 764*T1^13*T2^8 - 270*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 203*T1^2*T2^9 - 1227*T1^3*T2^9 + 
      348*T1^4*T2^9 + 4355*T1^5*T2^9 - 3527*T1^6*T2^9 - 1371*T1^7*T2^9 - 
      5734*T1^8*T2^9 + 8796*T1^9*T2^9 - 2474*T1^10*T2^9 + 3979*T1^11*T2^9 - 
      2422*T1^12*T2^9 - 920*T1^13*T2^9 + 958*T1^14*T2^9 - 119*T1^15*T2^9 - 
      21*T1^16*T2^9 - 57*T1^2*T2^10 + 21*T1^3*T2^10 + 1042*T1^4*T2^10 - 
      1996*T1^5*T2^10 - 968*T1^6*T2^10 + 2791*T1^7*T2^10 + 2496*T1^8*T2^10 - 
      2474*T1^9*T2^10 - 2364*T1^10*T2^10 - 1151*T1^11*T2^10 + 
      166*T1^12*T2^10 + 2108*T1^13*T2^10 - 1058*T1^14*T2^10 - 
      21*T1^15*T2^10 + 57*T1^16*T2^10 + 54*T1^3*T2^11 - 189*T1^4*T2^11 - 
      297*T1^5*T2^11 + 1676*T1^6*T2^11 - 451*T1^7*T2^11 - 4065*T1^8*T2^11 + 
      3979*T1^9*T2^11 - 1151*T1^10*T2^11 + 4035*T1^11*T2^11 - 
      1558*T1^12*T2^11 - 1348*T1^13*T2^11 + 594*T1^14*T2^11 + 
      189*T1^15*T2^11 - 81*T1^16*T2^11 - 27*T1^4*T2^12 + 189*T1^5*T2^12 - 
      160*T1^6*T2^12 - 1444*T1^7*T2^12 + 3708*T1^8*T2^12 - 2422*T1^9*T2^12 + 
      166*T1^10*T2^12 - 1558*T1^11*T2^12 - 1044*T1^12*T2^12 + 
      2444*T1^13*T2^12 - 754*T1^14*T2^12 - 189*T1^15*T2^12 + 81*T1^16*T2^12 - 
      133*T1^6*T2^13 + 673*T1^7*T2^13 - 764*T1^8*T2^13 - 920*T1^9*T2^13 + 
      2108*T1^10*T2^13 - 1348*T1^11*T2^13 + 2444*T1^12*T2^13 - 
      1954*T1^13*T2^13 + 198*T1^14*T2^13 + 301*T1^15*T2^13 - 81*T1^16*T2^13 + 
      19*T1^6*T2^14 - 35*T1^7*T2^14 - 270*T1^8*T2^14 + 958*T1^9*T2^14 - 
      1058*T1^10*T2^14 + 594*T1^11*T2^14 - 754*T1^12*T2^14 + 
      198*T1^13*T2^14 + 414*T1^14*T2^14 - 301*T1^15*T2^14 + 57*T1^16*T2^14 - 
      14*T1^7*T2^15 + 77*T1^8*T2^15 - 119*T1^9*T2^15 - 21*T1^10*T2^15 + 
      189*T1^11*T2^15 - 189*T1^12*T2^15 + 301*T1^13*T2^15 - 301*T1^14*T2^15 + 
      133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 
      57*T1^10*T2^16 - 81*T1^11*T2^16 + 81*T1^12*T2^16 - 81*T1^13*T2^16 + 
      57*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 504] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-336 + 1500*T1 - 2808*T1^2 + 3376*T1^3 - 2808*T1^4 + 1500*T1^5 - 
      336*T1^6 + 1500*T2 - 5494*T1*T2 + 7164*T1^2*T2 - 5000*T1^3*T2 + 
      400*T1^4*T2 + 3420*T1^5*T2 - 3910*T1^6*T2 + 1212*T1^7*T2 - 2808*T2^2 + 
      7164*T1*T2^2 - 1149*T1^2*T2^2 - 9351*T1^3*T2^2 + 16741*T1^4*T2^2 - 
      15607*T1^5*T2^2 + 7011*T1^6*T2^2 + 2268*T1^7*T2^2 - 1720*T1^8*T2^2 + 
      3376*T2^3 - 5000*T1*T2^3 - 9351*T1^2*T2^3 + 18602*T1^3*T2^3 - 
      16344*T1^4*T2^3 + 3972*T1^5*T2^3 + 8918*T1^6*T2^3 - 12615*T1^7*T2^3 + 
      1408*T1^8*T2^3 + 1408*T1^9*T2^3 - 2808*T2^4 + 400*T1*T2^4 + 
      16741*T1^2*T2^4 - 16344*T1^3*T2^4 + 4655*T1^4*T2^4 + 8831*T1^5*T2^4 - 
      12973*T1^6*T2^4 + 5632*T1^7*T2^4 + 8669*T1^8*T2^4 - 3488*T1^9*T2^4 - 
      632*T1^10*T2^4 + 1500*T2^5 + 3420*T1*T2^5 - 15607*T1^2*T2^5 + 
      3972*T1^3*T2^5 + 8831*T1^4*T2^5 - 12506*T1^5*T2^5 + 4492*T1^6*T2^5 + 
      6723*T1^7*T2^5 - 13024*T1^8*T2^5 - 375*T1^9*T2^5 + 2556*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3910*T1*T2^6 + 7011*T1^2*T2^6 + 
      8918*T1^3*T2^6 - 12973*T1^4*T2^6 + 4492*T1^5*T2^6 + 7296*T1^6*T2^6 - 
      11532*T1^7*T2^6 + 6515*T1^8*T2^6 + 7430*T1^9*T2^6 - 3805*T1^10*T2^6 - 
      454*T1^11*T2^6 + 48*T1^12*T2^6 + 1212*T1*T2^7 + 2268*T1^2*T2^7 - 
      12615*T1^3*T2^7 + 5632*T1^4*T2^7 + 6723*T1^5*T2^7 - 11532*T1^6*T2^7 + 
      5466*T1^7*T2^7 + 4615*T1^8*T2^7 - 11364*T1^9*T2^7 + 2617*T1^10*T2^7 + 
      1404*T1^11*T2^7 - 228*T1^12*T2^7 - 1720*T1^2*T2^8 + 1408*T1^3*T2^8 + 
      8669*T1^4*T2^8 - 13024*T1^5*T2^8 + 6515*T1^6*T2^8 + 4615*T1^7*T2^8 - 
      11113*T1^8*T2^8 + 8952*T1^9*T2^8 + 597*T1^10*T2^8 - 2480*T1^11*T2^8 + 
      456*T1^12*T2^8 + 1408*T1^3*T2^9 - 3488*T1^4*T2^9 - 375*T1^5*T2^9 + 
      7430*T1^6*T2^9 - 11364*T1^7*T2^9 + 8952*T1^8*T2^9 - 2254*T1^9*T2^9 - 
      3639*T1^10*T2^9 + 2920*T1^11*T2^9 - 560*T1^12*T2^9 - 632*T1^4*T2^10 + 
      2556*T1^5*T2^10 - 3805*T1^6*T2^10 + 2617*T1^7*T2^10 + 597*T1^8*T2^10 - 
      3639*T1^9*T2^10 + 4355*T1^10*T2^10 - 2340*T1^11*T2^10 + 
      456*T1^12*T2^10 + 60*T1^5*T2^11 - 454*T1^6*T2^11 + 1404*T1^7*T2^11 - 
      2480*T1^8*T2^11 + 2920*T1^9*T2^11 - 2340*T1^10*T2^11 + 
      1130*T1^11*T2^11 - 228*T1^12*T2^11 + 48*T1^6*T2^12 - 228*T1^7*T2^12 + 
      456*T1^8*T2^12 - 560*T1^9*T2^12 + 456*T1^10*T2^12 - 228*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 505] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4), 
   -((-3 + 21*T1 - 63*T1^2 + 117*T1^3 - 141*T1^4 + 117*T1^5 - 63*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 343*T1^2*T2 - 525*T1^3*T2 + 
      441*T1^4*T2 - 161*T1^5*T2 - 105*T1^6*T2 + 147*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 63*T2^2 + 343*T1*T2^2 - 660*T1^2*T2^2 + 556*T1^3*T2^2 + 
      392*T1^4*T2^2 - 1292*T1^5*T2^2 + 1484*T1^6*T2^2 - 788*T1^7*T2^2 + 
      180*T1^8*T2^2 + 49*T1^9*T2^2 - 21*T1^10*T2^2 + 117*T2^3 - 525*T1*T2^3 + 
      556*T1^2*T2^3 + 542*T1^3*T2^3 - 2778*T1^4*T2^3 + 3460*T1^5*T2^3 - 
      2162*T1^6*T2^3 - 276*T1^7*T2^3 + 1106*T1^8*T2^3 - 725*T1^9*T2^3 + 
      147*T1^10*T2^3 - 141*T2^4 + 441*T1*T2^4 + 392*T1^2*T2^4 - 
      2778*T1^3*T2^4 + 5271*T1^4*T2^4 - 3445*T1^5*T2^4 - 963*T1^6*T2^4 + 
      4735*T1^7*T2^4 - 3553*T1^8*T2^4 + 810*T1^9*T2^4 + 518*T1^10*T2^4 - 
      329*T1^11*T2^4 + 47*T1^12*T2^4 + 117*T2^5 - 161*T1*T2^5 - 
      1292*T1^2*T2^5 + 3460*T1^3*T2^5 - 3445*T1^4*T2^5 - 2387*T1^5*T2^5 + 
      8205*T1^6*T2^5 - 8469*T1^7*T2^5 + 1255*T1^8*T2^5 + 3938*T1^9*T2^5 - 
      3110*T1^10*T2^5 + 703*T1^11*T2^5 + 217*T1^12*T2^5 - 78*T1^13*T2^5 - 
      63*T2^6 - 105*T1*T2^6 + 1484*T1^2*T2^6 - 2162*T1^3*T2^6 - 
      963*T1^4*T2^6 + 8205*T1^5*T2^6 - 10704*T1^6*T2^6 + 3120*T1^7*T2^6 + 
      8196*T1^8*T2^6 - 9645*T1^9*T2^6 + 1851*T1^10*T2^6 + 2038*T1^11*T2^6 - 
      1540*T1^12*T2^6 + 105*T1^13*T2^6 + 63*T1^14*T2^6 + 21*T2^7 + 
      147*T1*T2^7 - 788*T1^2*T2^7 - 276*T1^3*T2^7 + 4735*T1^4*T2^7 - 
      8469*T1^5*T2^7 + 3120*T1^6*T2^7 + 11878*T1^7*T2^7 - 18528*T1^8*T2^7 + 
      8793*T1^9*T2^7 + 5853*T1^10*T2^7 - 5836*T1^11*T2^7 + 1566*T1^12*T2^7 + 
      871*T1^13*T2^7 - 245*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      180*T1^2*T2^8 + 1106*T1^3*T2^8 - 3553*T1^4*T2^8 + 1255*T1^5*T2^8 + 
      8196*T1^6*T2^8 - 18528*T1^7*T2^8 + 8820*T1^8*T2^8 + 9940*T1^9*T2^8 - 
      19302*T1^10*T2^8 + 6805*T1^11*T2^8 + 1107*T1^12*T2^8 - 
      2338*T1^13*T2^8 + 54*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 49*T1^2*T2^9 - 725*T1^3*T2^9 + 810*T1^4*T2^9 + 
      3938*T1^5*T2^9 - 9645*T1^6*T2^9 + 8793*T1^7*T2^9 + 9940*T1^8*T2^9 - 
      20466*T1^9*T2^9 + 14466*T1^10*T2^9 + 4677*T1^11*T2^9 - 
      6633*T1^12*T2^9 + 2652*T1^13*T2^9 + 934*T1^14*T2^9 - 343*T1^15*T2^9 - 
      35*T1^16*T2^9 - 21*T1^2*T2^10 + 147*T1^3*T2^10 + 518*T1^4*T2^10 - 
      3110*T1^5*T2^10 + 1851*T1^6*T2^10 + 5853*T1^7*T2^10 - 
      19302*T1^8*T2^10 + 14466*T1^9*T2^10 - 402*T1^10*T2^10 - 
      11997*T1^11*T2^10 + 4665*T1^12*T2^10 + 1090*T1^13*T2^10 - 
      2506*T1^14*T2^10 + 357*T1^15*T2^10 + 105*T1^16*T2^10 - 329*T1^4*T2^11 + 
      703*T1^5*T2^11 + 2038*T1^6*T2^11 - 5836*T1^7*T2^11 + 6805*T1^8*T2^11 + 
      4677*T1^9*T2^11 - 11997*T1^10*T2^11 + 10447*T1^11*T2^11 + 
      1547*T1^12*T2^11 - 4532*T1^13*T2^11 + 2698*T1^14*T2^11 + 
      49*T1^15*T2^11 - 195*T1^16*T2^11 + 47*T1^4*T2^12 + 217*T1^5*T2^12 - 
      1540*T1^6*T2^12 + 1566*T1^7*T2^12 + 1107*T1^8*T2^12 - 6633*T1^9*T2^12 + 
      4665*T1^10*T2^12 + 1547*T1^11*T2^12 - 7717*T1^12*T2^12 + 
      5154*T1^13*T2^12 - 1414*T1^14*T2^12 - 553*T1^15*T2^12 + 
      235*T1^16*T2^12 - 78*T1^5*T2^13 + 105*T1^6*T2^13 + 871*T1^7*T2^13 - 
      2338*T1^8*T2^13 + 2652*T1^9*T2^13 + 1090*T1^10*T2^13 - 
      4532*T1^11*T2^13 + 5154*T1^12*T2^13 - 1774*T1^13*T2^13 - 
      410*T1^14*T2^13 + 777*T1^15*T2^13 - 195*T1^16*T2^13 + 63*T1^6*T2^14 - 
      245*T1^7*T2^14 + 54*T1^8*T2^14 + 934*T1^9*T2^14 - 2506*T1^10*T2^14 + 
      2698*T1^11*T2^14 - 1414*T1^12*T2^14 - 410*T1^13*T2^14 + 
      894*T1^14*T2^14 - 539*T1^15*T2^14 + 105*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 343*T1^9*T2^15 + 357*T1^10*T2^15 + 49*T1^11*T2^15 - 
      553*T1^12*T2^15 + 777*T1^13*T2^15 - 539*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 105*T1^10*T2^16 - 
      195*T1^11*T2^16 + 235*T1^12*T2^16 - 195*T1^13*T2^16 + 105*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 506] -> 
  {((1 - 3*T + T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   ((1 - 3*T1 + T1^2)*(1 - 4*T1 + 8*T1^2 - 11*T1^3 + 8*T1^4 - 4*T1^5 + T1^6)*
     (1 + T1*T2)*(1 - 3*T2 + T2^2)*(1 - 4*T2 + 8*T2^2 - 11*T2^3 + 8*T2^4 - 
      4*T2^5 + T2^6)*(4 - 21*T1*T2 + 46*T1^2*T2^2 - 60*T1^3*T2^3 + 
      46*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 507] -> 
  {-(((1 - T + T^2 - T^3 + T^4)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4), 
   -((-57 + 227*T1 - 424*T1^2 + 593*T1^3 - 649*T1^4 + 593*T1^5 - 424*T1^6 + 
      227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 915*T1^2*T2 - 915*T1^3*T2 + 
      560*T1^4*T2 - 144*T1^5*T2 - 339*T1^6*T2 + 547*T1^7*T2 - 550*T1^8*T2 + 
      195*T1^9*T2 - 424*T2^2 + 915*T1*T2^2 - 362*T1^2*T2^2 - 197*T1^3*T2^2 + 
      1061*T1^4*T2^2 - 1358*T1^5*T2^2 + 1541*T1^6*T2^2 - 977*T1^7*T2^2 + 
      418*T1^8*T2^2 + 435*T1^9*T2^2 - 304*T1^10*T2^2 + 593*T2^3 - 
      915*T1*T2^3 - 197*T1^2*T2^3 + 304*T1^3*T2^3 - 831*T1^4*T2^3 + 
      364*T1^5*T2^3 - 380*T1^6*T2^3 - 417*T1^7*T2^3 + 442*T1^8*T2^3 - 
      887*T1^9*T2^3 - 147*T1^10*T2^3 + 341*T1^11*T2^3 - 649*T2^4 + 
      560*T1*T2^4 + 1061*T1^2*T2^4 - 831*T1^3*T2^4 + 1808*T1^4*T2^4 - 
      1395*T1^5*T2^4 + 1986*T1^6*T2^4 - 1099*T1^7*T2^4 + 1304*T1^8*T2^4 - 
      327*T1^9*T2^4 + 1133*T1^10*T2^4 - 240*T1^11*T2^4 - 281*T1^12*T2^4 + 
      593*T2^5 - 144*T1*T2^5 - 1358*T1^2*T2^5 + 364*T1^3*T2^5 - 
      1395*T1^4*T2^5 + 557*T1^5*T2^5 - 1225*T1^6*T2^5 - 43*T1^7*T2^5 - 
      385*T1^8*T2^5 - 774*T1^9*T2^5 - 356*T1^10*T2^5 - 722*T1^11*T2^5 + 
      432*T1^12*T2^5 + 173*T1^13*T2^5 - 424*T2^6 - 339*T1*T2^6 + 
      1541*T1^2*T2^6 - 380*T1^3*T2^6 + 1986*T1^4*T2^6 - 1225*T1^5*T2^6 + 
      2061*T1^6*T2^6 - 615*T1^7*T2^6 + 1185*T1^8*T2^6 + 137*T1^9*T2^6 + 
      984*T1^10*T2^6 + 400*T1^11*T2^6 + 245*T1^12*T2^6 - 435*T1^13*T2^6 - 
      64*T1^14*T2^6 + 227*T2^7 + 547*T1*T2^7 - 977*T1^2*T2^7 - 
      417*T1^3*T2^7 - 1099*T1^4*T2^7 - 43*T1^5*T2^7 - 615*T1^6*T2^7 - 
      562*T1^7*T2^7 - 474*T1^8*T2^7 - 402*T1^9*T2^7 - 865*T1^10*T2^7 - 
      420*T1^11*T2^7 - 471*T1^12*T2^7 + 253*T1^13*T2^7 + 243*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 418*T1^2*T2^8 + 442*T1^3*T2^8 + 
      1304*T1^4*T2^8 - 385*T1^5*T2^8 + 1185*T1^6*T2^8 - 474*T1^7*T2^8 + 
      1368*T1^8*T2^8 - 382*T1^9*T2^8 + 1035*T1^10*T2^8 + 341*T1^11*T2^8 + 
      420*T1^12*T2^8 + 94*T1^13*T2^8 - 374*T1^14*T2^8 - 38*T1^15*T2^8 + 
      7*T1^16*T2^8 + 195*T1*T2^9 + 435*T1^2*T2^9 - 887*T1^3*T2^9 - 
      327*T1^4*T2^9 - 774*T1^5*T2^9 + 137*T1^6*T2^9 - 402*T1^7*T2^9 - 
      382*T1^8*T2^9 - 294*T1^9*T2^9 - 189*T1^10*T2^9 - 685*T1^11*T2^9 - 
      95*T1^12*T2^9 - 381*T1^13*T2^9 + 343*T1^14*T2^9 + 131*T1^15*T2^9 - 
      29*T1^16*T2^9 - 304*T1^2*T2^10 - 147*T1^3*T2^10 + 1133*T1^4*T2^10 - 
      356*T1^5*T2^10 + 984*T1^6*T2^10 - 865*T1^7*T2^10 + 1035*T1^8*T2^10 - 
      189*T1^9*T2^10 + 159*T1^10*T2^10 + 497*T1^11*T2^10 - 18*T1^12*T2^10 + 
      424*T1^13*T2^10 - 163*T1^14*T2^10 - 243*T1^15*T2^10 + 56*T1^16*T2^10 + 
      341*T1^3*T2^11 - 240*T1^4*T2^11 - 722*T1^5*T2^11 + 400*T1^6*T2^11 - 
      420*T1^7*T2^11 + 341*T1^8*T2^11 - 685*T1^9*T2^11 + 497*T1^10*T2^11 - 
      601*T1^11*T2^11 + 201*T1^12*T2^11 - 320*T1^13*T2^11 - 86*T1^14*T2^11 + 
      336*T1^15*T2^11 - 79*T1^16*T2^11 - 281*T1^4*T2^12 + 432*T1^5*T2^12 + 
      245*T1^6*T2^12 - 471*T1^7*T2^12 + 420*T1^8*T2^12 - 95*T1^9*T2^12 - 
      18*T1^10*T2^12 + 201*T1^11*T2^12 - 84*T1^12*T2^12 + 33*T1^13*T2^12 + 
      317*T1^14*T2^12 - 368*T1^15*T2^12 + 87*T1^16*T2^12 + 173*T1^5*T2^13 - 
      435*T1^6*T2^13 + 253*T1^7*T2^13 + 94*T1^8*T2^13 - 381*T1^9*T2^13 + 
      424*T1^10*T2^13 - 320*T1^11*T2^13 + 33*T1^12*T2^13 + 232*T1^13*T2^13 - 
      437*T1^14*T2^13 + 333*T1^15*T2^13 - 79*T1^16*T2^13 - 64*T1^6*T2^14 + 
      243*T1^7*T2^14 - 374*T1^8*T2^14 + 343*T1^9*T2^14 - 163*T1^10*T2^14 - 
      86*T1^11*T2^14 + 317*T1^12*T2^14 - 437*T1^13*T2^14 + 406*T1^14*T2^14 - 
      237*T1^15*T2^14 + 56*T1^16*T2^14 + 3*T1^7*T2^15 - 38*T1^8*T2^15 + 
      131*T1^9*T2^15 - 243*T1^10*T2^15 + 336*T1^11*T2^15 - 368*T1^12*T2^15 + 
      333*T1^13*T2^15 - 237*T1^14*T2^15 + 122*T1^15*T2^15 - 29*T1^16*T2^15 + 
      7*T1^8*T2^16 - 29*T1^9*T2^16 + 56*T1^10*T2^16 - 79*T1^11*T2^16 + 
      87*T1^12*T2^16 - 79*T1^13*T2^16 + 56*T1^14*T2^16 - 29*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 508] -> 
  {-((4 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 4*T^6)/T^3), 
   (-2*(-168 + 668*T1 - 1160*T1^2 + 1364*T1^3 - 1160*T1^4 + 668*T1^5 - 
      168*T1^6 + 668*T2 - 2120*T1*T2 + 2478*T1^2*T2 - 1712*T1^3*T2 + 
      240*T1^4*T2 + 1070*T1^5*T2 - 1480*T1^6*T2 + 540*T1^7*T2 - 1160*T2^2 + 
      2478*T1*T2^2 - 186*T1^2*T2^2 - 2676*T1^3*T2^2 + 4684*T1^4*T2^2 - 
      4580*T1^5*T2^2 + 2502*T1^6*T2^2 + 686*T1^7*T2^2 - 712*T1^8*T2^2 + 
      1364*T2^3 - 1712*T1*T2^3 - 2676*T1^2*T2^3 + 4363*T1^3*T2^3 - 
      3824*T1^4*T2^3 + 1128*T1^5*T2^3 + 1833*T1^6*T2^3 - 3740*T1^7*T2^3 + 
      560*T1^8*T2^3 + 572*T1^9*T2^3 - 1160*T2^4 + 240*T1*T2^4 + 
      4684*T1^2*T2^4 - 3824*T1^3*T2^4 + 1745*T1^4*T2^4 + 843*T1^5*T2^4 - 
      1855*T1^6*T2^4 + 1456*T1^7*T2^4 + 2508*T1^8*T2^4 - 1232*T1^9*T2^4 - 
      264*T1^10*T2^4 + 668*T2^5 + 1070*T1*T2^5 - 4580*T1^2*T2^5 + 
      1128*T1^3*T2^5 + 843*T1^4*T2^5 - 1501*T1^5*T2^5 + 313*T1^6*T2^5 + 
      899*T1^7*T2^5 - 3168*T1^8*T2^5 - 156*T1^9*T2^5 + 942*T1^10*T2^5 + 
      28*T1^11*T2^5 - 168*T2^6 - 1480*T1*T2^6 + 2502*T1^2*T2^6 + 
      1833*T1^3*T2^6 - 1855*T1^4*T2^6 + 313*T1^5*T2^6 + 1344*T1^6*T2^6 - 
      1495*T1^7*T2^6 + 1409*T1^8*T2^6 + 2041*T1^9*T2^6 - 1210*T1^10*T2^6 - 
      200*T1^11*T2^6 + 24*T1^12*T2^6 + 540*T1*T2^7 + 686*T1^2*T2^7 - 
      3740*T1^3*T2^7 + 1456*T1^4*T2^7 + 899*T1^5*T2^7 - 1495*T1^6*T2^7 + 
      319*T1^7*T2^7 + 955*T1^8*T2^7 - 2840*T1^9*T2^7 + 684*T1^10*T2^7 + 
      558*T1^11*T2^7 - 100*T1^12*T2^7 - 712*T1^2*T2^8 + 560*T1^3*T2^8 + 
      2508*T1^4*T2^8 - 3168*T1^5*T2^8 + 1409*T1^6*T2^8 + 955*T1^7*T2^8 - 
      2191*T1^8*T2^8 + 2112*T1^9*T2^8 + 332*T1^10*T2^8 - 912*T1^11*T2^8 + 
      184*T1^12*T2^8 + 572*T1^3*T2^9 - 1232*T1^4*T2^9 - 156*T1^5*T2^9 + 
      2041*T1^6*T2^9 - 2840*T1^7*T2^9 + 2112*T1^8*T2^9 - 489*T1^9*T2^9 - 
      1220*T1^10*T2^9 + 1040*T1^11*T2^9 - 220*T1^12*T2^9 - 264*T1^4*T2^10 + 
      942*T1^5*T2^10 - 1210*T1^6*T2^10 + 684*T1^7*T2^10 + 332*T1^8*T2^10 - 
      1220*T1^9*T2^10 + 1478*T1^10*T2^10 - 850*T1^11*T2^10 + 
      184*T1^12*T2^10 + 28*T1^5*T2^11 - 200*T1^6*T2^11 + 558*T1^7*T2^11 - 
      912*T1^8*T2^11 + 1040*T1^9*T2^11 - 850*T1^10*T2^11 + 440*T1^11*T2^11 - 
      100*T1^12*T2^11 + 24*T1^6*T2^12 - 100*T1^7*T2^12 + 184*T1^8*T2^12 - 
      220*T1^9*T2^12 + 184*T1^10*T2^12 - 100*T1^11*T2^12 + 24*T1^12*T2^12))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 509] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 16*T^2 - 21*T^3 + 16*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-41 + 204*T1 - 529*T1^2 + 914*T1^3 - 1075*T1^4 + 914*T1^5 - 
      529*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1820*T1^2*T2 - 
      2440*T1^3*T2 + 1704*T1^4*T2 - 256*T1^5*T2 - 1020*T1^6*T2 + 
      1100*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 529*T2^2 + 1820*T1*T2^2 - 
      3095*T1^2*T2^2 + 2865*T1^3*T2^2 + 203*T1^4*T2^2 - 2513*T1^5*T2^2 + 
      3011*T1^6*T2^2 - 775*T1^7*T2^2 - 599*T1^8*T2^2 + 780*T1^9*T2^2 - 
      321*T1^10*T2^2 + 914*T2^3 - 2440*T1*T2^3 + 2865*T1^2*T2^3 - 
      608*T1^3*T2^3 - 4576*T1^4*T2^3 + 4477*T1^5*T2^3 - 1833*T1^6*T2^3 - 
      3126*T1^7*T2^3 + 2722*T1^8*T2^3 - 1035*T1^9*T2^3 - 260*T1^10*T2^3 + 
      374*T1^11*T2^3 - 1075*T2^4 + 1704*T1*T2^4 + 203*T1^2*T2^4 - 
      4576*T1^3*T2^4 + 9107*T1^4*T2^4 - 2560*T1^5*T2^4 - 2659*T1^6*T2^4 + 
      6900*T1^7*T2^4 - 769*T1^8*T2^4 - 2056*T1^9*T2^4 + 2227*T1^10*T2^4 - 
      736*T1^11*T2^4 - 227*T1^12*T2^4 + 914*T2^5 - 256*T1*T2^5 - 
      2513*T1^2*T2^5 + 4477*T1^3*T2^5 - 2560*T1^4*T2^5 - 10630*T1^5*T2^5 + 
      11009*T1^6*T2^5 - 6961*T1^7*T2^5 - 6580*T1^8*T2^5 + 6200*T1^9*T2^5 - 
      2573*T1^10*T2^5 - 653*T1^11*T2^5 + 1064*T1^12*T2^5 + 14*T1^13*T2^5 - 
      529*T2^6 - 1020*T1*T2^6 + 3011*T1^2*T2^6 - 1833*T1^3*T2^6 - 
      2659*T1^4*T2^6 + 11009*T1^5*T2^6 + 1898*T1^6*T2^6 - 12020*T1^7*T2^6 + 
      20798*T1^8*T2^6 - 7691*T1^9*T2^6 - 979*T1^10*T2^6 + 3367*T1^11*T2^6 - 
      1365*T1^12*T2^6 - 540*T1^13*T2^6 + 95*T1^14*T2^6 + 204*T2^7 + 
      1100*T1*T2^7 - 775*T1^2*T2^7 - 3126*T1^3*T2^7 + 6900*T1^4*T2^7 - 
      6961*T1^5*T2^7 - 12020*T1^6*T2^7 + 16693*T1^7*T2^7 - 12947*T1^8*T2^7 - 
      6355*T1^9*T2^7 + 9549*T1^10*T2^7 - 4660*T1^11*T2^7 - 296*T1^12*T2^7 + 
      1565*T1^13*T2^7 - 100*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 599*T1^2*T2^8 + 2722*T1^3*T2^8 - 769*T1^4*T2^8 - 
      6580*T1^5*T2^8 + 20798*T1^6*T2^8 - 12947*T1^7*T2^8 - 1368*T1^8*T2^8 + 
      15843*T1^9*T2^8 - 9216*T1^10*T2^8 - 700*T1^11*T2^8 + 3731*T1^12*T2^8 - 
      2058*T1^13*T2^8 - 359*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 780*T1^2*T2^9 - 1035*T1^3*T2^9 - 2056*T1^4*T2^9 + 
      6200*T1^5*T2^9 - 7691*T1^6*T2^9 - 6355*T1^7*T2^9 + 15843*T1^8*T2^9 - 
      13797*T1^9*T2^9 - 690*T1^10*T2^9 + 8819*T1^11*T2^9 - 5360*T1^12*T2^9 + 
      774*T1^13*T2^9 + 1305*T1^14*T2^9 - 420*T1^15*T2^9 - 116*T1^16*T2^9 - 
      321*T1^2*T2^10 - 260*T1^3*T2^10 + 2227*T1^4*T2^10 - 2573*T1^5*T2^10 - 
      979*T1^6*T2^10 + 9549*T1^7*T2^10 - 9216*T1^8*T2^10 - 690*T1^9*T2^10 + 
      9684*T1^10*T2^10 - 9151*T1^11*T2^10 + 701*T1^12*T2^10 + 
      2627*T1^13*T2^10 - 2149*T1^14*T2^10 + 220*T1^15*T2^10 + 
      303*T1^16*T2^10 + 374*T1^3*T2^11 - 736*T1^4*T2^11 - 653*T1^5*T2^11 + 
      3367*T1^6*T2^11 - 4660*T1^7*T2^11 - 700*T1^8*T2^11 + 8819*T1^9*T2^11 - 
      9151*T1^10*T2^11 + 3350*T1^11*T2^11 + 4100*T1^12*T2^11 - 
      3683*T1^13*T2^11 + 1207*T1^14*T2^11 + 584*T1^15*T2^11 - 
      526*T1^16*T2^11 - 227*T1^4*T2^12 + 1064*T1^5*T2^12 - 1365*T1^6*T2^12 - 
      296*T1^7*T2^12 + 3731*T1^8*T2^12 - 5360*T1^9*T2^12 + 701*T1^10*T2^12 + 
      4100*T1^11*T2^12 - 6145*T1^12*T2^12 + 2224*T1^13*T2^12 + 
      659*T1^14*T2^12 - 1376*T1^15*T2^12 + 621*T1^16*T2^12 + 14*T1^5*T2^13 - 
      540*T1^6*T2^13 + 1565*T1^7*T2^13 - 2058*T1^8*T2^13 + 774*T1^9*T2^13 + 
      2627*T1^10*T2^13 - 3683*T1^11*T2^13 + 2224*T1^12*T2^13 + 
      1272*T1^13*T2^13 - 2335*T1^14*T2^13 + 1640*T1^15*T2^13 - 
      526*T1^16*T2^13 + 95*T1^6*T2^14 - 100*T1^7*T2^14 - 359*T1^8*T2^14 + 
      1305*T1^9*T2^14 - 2149*T1^10*T2^14 + 1207*T1^11*T2^14 + 
      659*T1^12*T2^14 - 2335*T1^13*T2^14 + 2137*T1^14*T2^14 - 
      1140*T1^15*T2^14 + 303*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      420*T1^9*T2^15 + 220*T1^10*T2^15 + 584*T1^11*T2^15 - 1376*T1^12*T2^15 + 
      1640*T1^13*T2^15 - 1140*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 303*T1^10*T2^16 - 
      526*T1^11*T2^16 + 621*T1^12*T2^16 - 526*T1^13*T2^16 + 303*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 510] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-4*(4 - 20*T1 + 44*T1^2 - 57*T1^3 + 44*T1^4 - 20*T1^5 + 4*T1^6)*
     (-1 + T1*T2)^2*(1 + T1*T2)*(3 - 4*T1*T2 + 3*T1^2*T2^2)*
     (4 - 20*T2 + 44*T2^2 - 57*T2^3 + 44*T2^4 - 20*T2^5 + 4*T2^6))/
    (T1^7*T2^6)}, Knot[12, Alternating, 511] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-15 + 61*T1 - 131*T1^2 + 179*T1^3 - 195*T1^4 + 179*T1^5 - 131*T1^6 + 
     61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 410*T1^2*T2 - 464*T1^3*T2 + 
     432*T1^4*T2 - 336*T1^5*T2 + 176*T1^6*T2 + 10*T1^7*T2 - 58*T1^8*T2 + 
     29*T1^9*T2 - 131*T2^2 + 410*T1*T2^2 - 642*T1^2*T2^2 + 500*T1^3*T2^2 - 
     276*T1^4*T2^2 + 28*T1^5*T2^2 + 268*T1^6*T2^2 - 520*T1^7*T2^2 + 
     378*T1^8*T2^2 - 134*T1^9*T2^2 + 5*T1^10*T2^2 + 179*T2^3 - 464*T1*T2^3 + 
     500*T1^2*T2^3 + 8*T1^3*T2^3 - 328*T1^4*T2^3 + 438*T1^5*T2^3 - 
     570*T1^6*T2^3 + 558*T1^7*T2^3 + 58*T1^8*T2^3 - 486*T1^9*T2^3 + 
     368*T1^10*T2^3 - 97*T1^11*T2^3 - 195*T2^4 + 432*T1*T2^4 - 
     276*T1^2*T2^4 - 328*T1^3*T2^4 + 348*T1^4*T2^4 - 64*T1^5*T2^4 + 
     172*T1^6*T2^4 - 120*T1^7*T2^4 - 572*T1^8*T2^4 + 592*T1^9*T2^4 + 
     180*T1^10*T2^4 - 432*T1^11*T2^4 + 205*T1^12*T2^4 + 179*T2^5 - 
     336*T1*T2^5 + 28*T1^2*T2^5 + 438*T1^3*T2^5 - 64*T1^4*T2^5 - 
     467*T1^5*T2^5 + 129*T1^6*T2^5 - 389*T1^7*T2^5 + 1123*T1^8*T2^5 - 
     589*T1^9*T2^5 - 562*T1^10*T2^5 + 136*T1^11*T2^5 + 304*T1^12*T2^5 - 
     281*T1^13*T2^5 - 131*T2^6 + 176*T1*T2^6 + 268*T1^2*T2^6 - 
     570*T1^3*T2^6 + 172*T1^4*T2^6 + 129*T1^5*T2^6 + 555*T1^6*T2^6 + 
     175*T1^7*T2^6 - 625*T1^8*T2^6 - 385*T1^9*T2^6 + 1094*T1^10*T2^6 + 
     450*T1^11*T2^6 - 452*T1^12*T2^6 + 16*T1^13*T2^6 + 277*T1^14*T2^6 + 
     61*T2^7 + 10*T1*T2^7 - 520*T1^2*T2^7 + 558*T1^3*T2^7 - 120*T1^4*T2^7 - 
     389*T1^5*T2^7 + 175*T1^6*T2^7 - 1804*T1^7*T2^7 + 1636*T1^8*T2^7 - 
     438*T1^9*T2^7 + 137*T1^10*T2^7 - 1471*T1^11*T2^7 - 192*T1^12*T2^7 + 
     670*T1^13*T2^7 - 454*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 378*T1^2*T2^8 + 58*T1^3*T2^8 - 572*T1^4*T2^8 + 
     1123*T1^5*T2^8 - 625*T1^6*T2^8 + 1636*T1^7*T2^8 + 348*T1^8*T2^8 - 
     1736*T1^9*T2^8 + 1805*T1^10*T2^8 - 731*T1^11*T2^8 + 2584*T1^12*T2^8 - 
     1282*T1^13*T2^8 + 162*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 134*T1^2*T2^9 - 486*T1^3*T2^9 + 592*T1^4*T2^9 - 
     589*T1^5*T2^9 - 385*T1^6*T2^9 - 438*T1^7*T2^9 - 1736*T1^8*T2^9 + 
     1704*T1^9*T2^9 - 1051*T1^10*T2^9 + 141*T1^11*T2^9 - 1940*T1^12*T2^9 - 
     158*T1^13*T2^9 + 704*T1^14*T2^9 - 598*T1^15*T2^9 - 195*T1^16*T2^9 + 
     5*T1^2*T2^10 + 368*T1^3*T2^10 + 180*T1^4*T2^10 - 562*T1^5*T2^10 + 
     1094*T1^6*T2^10 + 137*T1^7*T2^10 + 1805*T1^8*T2^10 - 1051*T1^9*T2^10 + 
     625*T1^10*T2^10 - 377*T1^11*T2^10 + 2016*T1^12*T2^10 + 458*T1^13*T2^10 - 
     540*T1^14*T2^10 + 208*T1^15*T2^10 + 413*T1^16*T2^10 - 97*T1^3*T2^11 - 
     432*T1^4*T2^11 + 136*T1^5*T2^11 + 450*T1^6*T2^11 - 1471*T1^7*T2^11 - 
     731*T1^8*T2^11 + 141*T1^9*T2^11 - 377*T1^10*T2^11 + 859*T1^11*T2^11 - 
     1996*T1^12*T2^11 - 550*T1^13*T2^11 + 244*T1^14*T2^11 + 208*T1^15*T2^11 - 
     557*T1^16*T2^11 + 205*T1^4*T2^12 + 304*T1^5*T2^12 - 452*T1^6*T2^12 - 
     192*T1^7*T2^12 + 2584*T1^8*T2^12 - 1940*T1^9*T2^12 + 2016*T1^10*T2^12 - 
     1996*T1^11*T2^12 + 1664*T1^12*T2^12 + 728*T1^13*T2^12 + 4*T1^14*T2^12 - 
     560*T1^15*T2^12 + 605*T1^16*T2^12 - 281*T1^5*T2^13 + 16*T1^6*T2^13 + 
     670*T1^7*T2^13 - 1282*T1^8*T2^13 - 158*T1^9*T2^13 + 458*T1^10*T2^13 - 
     550*T1^11*T2^13 + 728*T1^12*T2^13 - 1232*T1^13*T2^13 - 316*T1^14*T2^13 + 
     848*T1^15*T2^13 - 557*T1^16*T2^13 + 277*T1^6*T2^14 - 454*T1^7*T2^14 + 
     162*T1^8*T2^14 + 704*T1^9*T2^14 - 540*T1^10*T2^14 + 244*T1^11*T2^14 + 
     4*T1^12*T2^14 - 316*T1^13*T2^14 + 1182*T1^14*T2^14 - 998*T1^15*T2^14 + 
     413*T1^16*T2^14 - 163*T1^7*T2^15 + 454*T1^8*T2^15 - 598*T1^9*T2^15 + 
     208*T1^10*T2^15 + 208*T1^11*T2^15 - 560*T1^12*T2^15 + 848*T1^13*T2^15 - 
     998*T1^14*T2^15 + 614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 
     195*T1^9*T2^16 + 413*T1^10*T2^16 - 557*T1^11*T2^16 + 605*T1^12*T2^16 - 
     557*T1^13*T2^16 + 413*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 512] -> 
  {-((1 - 7*T + 19*T^2 - 31*T^3 + 35*T^4 - 31*T^5 + 19*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 57*T1^2 + 93*T1^3 - 105*T1^4 + 93*T1^5 - 57*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 301*T1^2*T2 - 385*T1^3*T2 + 
      301*T1^4*T2 - 161*T1^5*T2 - 35*T1^6*T2 + 119*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 57*T2^2 + 301*T1*T2^2 - 410*T1^2*T2^2 + 18*T1^3*T2^2 + 
      712*T1^4*T2^2 - 1104*T1^5*T2^2 + 1320*T1^6*T2^2 - 894*T1^7*T2^2 + 
      274*T1^8*T2^2 + 35*T1^9*T2^2 - 19*T1^10*T2^2 + 93*T2^3 - 385*T1*T2^3 + 
      18*T1^2*T2^3 + 1276*T1^3*T2^3 - 2462*T1^4*T2^3 + 2276*T1^5*T2^3 - 
      1852*T1^6*T2^3 + 282*T1^7*T2^3 + 794*T1^8*T2^3 - 685*T1^9*T2^3 + 
      133*T1^10*T2^3 - 105*T2^4 + 301*T1*T2^4 + 712*T1^2*T2^4 - 
      2462*T1^3*T2^4 + 2888*T1^4*T2^4 - 1120*T1^5*T2^4 - 66*T1^6*T2^4 + 
      2464*T1^7*T2^4 - 2768*T1^8*T2^4 + 1010*T1^9*T2^4 + 334*T1^10*T2^4 - 
      245*T1^11*T2^4 + 35*T1^12*T2^4 + 93*T2^5 - 161*T1*T2^5 - 
      1104*T1^2*T2^5 + 2276*T1^3*T2^5 - 1120*T1^4*T2^5 - 1635*T1^5*T2^5 + 
      2249*T1^6*T2^5 - 3905*T1^7*T2^5 + 1905*T1^8*T2^5 + 1661*T1^9*T2^5 - 
      2172*T1^10*T2^5 + 507*T1^11*T2^5 + 189*T1^12*T2^5 - 62*T1^13*T2^5 - 
      57*T2^6 - 35*T1*T2^6 + 1320*T1^2*T2^6 - 1852*T1^3*T2^6 - 66*T1^4*T2^6 + 
      2249*T1^5*T2^6 - 1784*T1^6*T2^6 + 2614*T1^7*T2^6 + 716*T1^8*T2^6 - 
      3693*T1^9*T2^6 + 956*T1^10*T2^6 + 1796*T1^11*T2^6 - 1260*T1^12*T2^6 + 
      35*T1^13*T2^6 + 57*T1^14*T2^6 + 21*T2^7 + 119*T1*T2^7 - 894*T1^2*T2^7 + 
      282*T1^3*T2^7 + 2464*T1^4*T2^7 - 3905*T1^5*T2^7 + 2614*T1^6*T2^7 - 
      1898*T1^7*T2^7 - 2056*T1^8*T2^7 + 2999*T1^9*T2^7 + 2673*T1^10*T2^7 - 
      3529*T1^11*T2^7 + 450*T1^12*T2^7 + 1063*T1^13*T2^7 - 203*T1^14*T2^7 - 
      28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 274*T1^2*T2^8 + 794*T1^3*T2^8 - 
      2768*T1^4*T2^8 + 1905*T1^5*T2^8 + 716*T1^6*T2^8 - 2056*T1^7*T2^8 + 
      3096*T1^8*T2^8 - 724*T1^9*T2^8 - 5278*T1^10*T2^8 + 1779*T1^11*T2^8 + 
      2380*T1^12*T2^8 - 2054*T1^13*T2^8 - 188*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 35*T1^2*T2^9 - 685*T1^3*T2^9 + 
      1010*T1^4*T2^9 + 1661*T1^5*T2^9 - 3693*T1^6*T2^9 + 2999*T1^7*T2^9 - 
      724*T1^8*T2^9 - 882*T1^9*T2^9 + 3384*T1^10*T2^9 + 2885*T1^11*T2^9 - 
      4332*T1^12*T2^9 + 1178*T1^13*T2^9 + 1272*T1^14*T2^9 - 287*T1^15*T2^9 - 
      35*T1^16*T2^9 - 19*T1^2*T2^10 + 133*T1^3*T2^10 + 334*T1^4*T2^10 - 
      2172*T1^5*T2^10 + 956*T1^6*T2^10 + 2673*T1^7*T2^10 - 5278*T1^8*T2^10 + 
      3384*T1^9*T2^10 - 2778*T1^10*T2^10 - 3269*T1^11*T2^10 + 
      1978*T1^12*T2^10 + 1476*T1^13*T2^10 - 2246*T1^14*T2^10 + 
      203*T1^15*T2^10 + 95*T1^16*T2^10 - 245*T1^4*T2^11 + 507*T1^5*T2^11 + 
      1796*T1^6*T2^11 - 3529*T1^7*T2^11 + 1779*T1^8*T2^11 + 2885*T1^9*T2^11 - 
      3269*T1^10*T2^11 + 5319*T1^11*T2^11 - 748*T1^12*T2^11 - 
      2652*T1^13*T2^11 + 2118*T1^14*T2^11 + 105*T1^15*T2^11 - 
      155*T1^16*T2^11 + 35*T1^4*T2^12 + 189*T1^5*T2^12 - 1260*T1^6*T2^12 + 
      450*T1^7*T2^12 + 2380*T1^8*T2^12 - 4332*T1^9*T2^12 + 1978*T1^10*T2^12 - 
      748*T1^11*T2^12 - 3276*T1^12*T2^12 + 3922*T1^13*T2^12 - 
      1638*T1^14*T2^12 - 357*T1^15*T2^12 + 175*T1^16*T2^12 - 62*T1^5*T2^13 + 
      35*T1^6*T2^13 + 1063*T1^7*T2^13 - 2054*T1^8*T2^13 + 1178*T1^9*T2^13 + 
      1476*T1^10*T2^13 - 2652*T1^11*T2^13 + 3922*T1^12*T2^13 - 
      2536*T1^13*T2^13 + 360*T1^14*T2^13 + 553*T1^15*T2^13 - 
      155*T1^16*T2^13 + 57*T1^6*T2^14 - 203*T1^7*T2^14 - 188*T1^8*T2^14 + 
      1272*T1^9*T2^14 - 2246*T1^10*T2^14 + 2118*T1^11*T2^14 - 
      1638*T1^12*T2^14 + 360*T1^13*T2^14 + 496*T1^14*T2^14 - 
      469*T1^15*T2^14 + 95*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      287*T1^9*T2^15 + 203*T1^10*T2^15 + 105*T1^11*T2^15 - 357*T1^12*T2^15 + 
      553*T1^13*T2^15 - 469*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 95*T1^10*T2^16 - 155*T1^11*T2^16 + 
      175*T1^12*T2^16 - 155*T1^13*T2^16 + 95*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 513] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-112 + 516*T1 - 1160*T1^2 + 1488*T1^3 - 1160*T1^4 + 516*T1^5 - 112*T1^6 + 
     516*T2 - 2138*T1*T2 + 4236*T1^2*T2 - 4372*T1^3*T2 + 2180*T1^4*T2 + 
     60*T1^5*T2 - 554*T1^6*T2 + 228*T1^7*T2 - 1160*T2^2 + 4236*T1*T2^2 - 
     6753*T1^2*T2^2 + 3467*T1^3*T2^2 + 3533*T1^4*T2^2 - 7093*T1^5*T2^2 + 
     4767*T1^6*T2^2 - 1524*T1^7*T2^2 + 120*T1^8*T2^2 + 1488*T2^3 - 
     4372*T1*T2^3 + 3467*T1^2*T2^3 + 6596*T1^3*T2^3 - 16504*T1^4*T2^3 + 
     13520*T1^5*T2^3 - 1504*T1^6*T2^3 - 5173*T1^7*T2^3 + 3764*T1^8*T2^3 - 
     960*T1^9*T2^3 - 1160*T2^4 + 2180*T1*T2^4 + 3533*T1^2*T2^4 - 
     16504*T1^3*T2^4 + 19814*T1^4*T2^4 - 1488*T1^5*T2^4 - 17734*T1^6*T2^4 + 
     16952*T1^7*T2^4 - 3915*T1^8*T2^4 - 1996*T1^9*T2^4 + 1400*T1^10*T2^4 + 
     516*T2^5 + 60*T1*T2^5 - 7093*T1^2*T2^5 + 13520*T1^3*T2^5 - 
     1488*T1^4*T2^5 - 29632*T1^5*T2^5 + 38648*T1^6*T2^5 - 15408*T1^7*T2^5 - 
     9640*T1^8*T2^5 + 9227*T1^9*T2^5 - 2100*T1^10*T2^5 - 924*T1^11*T2^5 - 
     112*T2^6 - 554*T1*T2^6 + 4767*T1^2*T2^6 - 1504*T1^3*T2^6 - 
     17734*T1^4*T2^6 + 38648*T1^5*T2^6 - 17676*T1^6*T2^6 - 22024*T1^7*T2^6 + 
     35210*T1^8*T2^6 - 12160*T1^9*T2^6 - 1921*T1^10*T2^6 + 2902*T1^11*T2^6 + 
     272*T1^12*T2^6 + 228*T1*T2^7 - 1524*T1^2*T2^7 - 5173*T1^3*T2^7 + 
     16952*T1^4*T2^7 - 15408*T1^5*T2^7 - 22024*T1^6*T2^7 + 46256*T1^7*T2^7 - 
     29328*T1^8*T2^7 - 6208*T1^9*T2^7 + 11147*T1^10*T2^7 - 3684*T1^11*T2^7 - 
     1212*T1^12*T2^7 + 120*T1^2*T2^8 + 3764*T1^3*T2^8 - 3915*T1^4*T2^8 - 
     9640*T1^5*T2^8 + 35210*T1^6*T2^8 - 29328*T1^7*T2^8 - 2338*T1^8*T2^8 + 
     23816*T1^9*T2^8 - 11363*T1^10*T2^8 - 412*T1^11*T2^8 + 2680*T1^12*T2^8 - 
     960*T1^3*T2^9 - 1996*T1^4*T2^9 + 9227*T1^5*T2^9 - 12160*T1^6*T2^9 - 
     6208*T1^7*T2^9 + 23816*T1^8*T2^9 - 20260*T1^9*T2^9 + 587*T1^10*T2^9 + 
     6140*T1^11*T2^9 - 3408*T1^12*T2^9 + 1400*T1^4*T2^10 - 2100*T1^5*T2^10 - 
     1921*T1^6*T2^10 + 11147*T1^7*T2^10 - 11363*T1^8*T2^10 + 587*T1^9*T2^10 + 
     9599*T1^10*T2^10 - 7860*T1^11*T2^10 + 2680*T1^12*T2^10 - 
     924*T1^5*T2^11 + 2902*T1^6*T2^11 - 3684*T1^7*T2^11 - 412*T1^8*T2^11 + 
     6140*T1^9*T2^11 - 7860*T1^10*T2^11 + 4486*T1^11*T2^11 - 
     1212*T1^12*T2^11 + 272*T1^6*T2^12 - 1212*T1^7*T2^12 + 2680*T1^8*T2^12 - 
     3408*T1^9*T2^12 + 2680*T1^10*T2^12 - 1212*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 514] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (-112 + 544*T1 - 1244*T1^2 + 1600*T1^3 - 1244*T1^4 + 544*T1^5 - 112*T1^6 + 
     544*T2 - 2392*T1*T2 + 4820*T1^2*T2 - 4980*T1^3*T2 + 2468*T1^4*T2 + 
     108*T1^5*T2 - 644*T1^6*T2 + 240*T1^7*T2 - 1244*T2^2 + 4820*T1*T2^2 - 
     7702*T1^2*T2^2 + 3592*T1^3*T2^2 + 4760*T1^4*T2^2 - 8792*T1^5*T2^2 + 
     5714*T1^6*T2^2 - 1716*T1^7*T2^2 + 132*T1^8*T2^2 + 1600*T2^3 - 
     4980*T1*T2^3 + 3592*T1^2*T2^3 + 9277*T1^3*T2^3 - 21575*T1^4*T2^3 + 
     17571*T1^5*T2^3 - 2437*T1^6*T2^3 - 5997*T1^7*T2^3 + 4292*T1^8*T2^3 - 
     1040*T1^9*T2^3 - 1244*T2^4 + 2468*T1*T2^4 + 4760*T1^2*T2^4 - 
     21575*T1^3*T2^4 + 25612*T1^4*T2^4 - 1800*T1^5*T2^4 - 22796*T1^6*T2^4 + 
     22095*T1^7*T2^4 - 5366*T1^8*T2^4 - 2244*T1^9*T2^4 + 1508*T1^10*T2^4 + 
     544*T2^5 + 108*T1*T2^5 - 8792*T1^2*T2^5 + 17571*T1^3*T2^5 - 
     1800*T1^4*T2^5 - 38664*T1^5*T2^5 + 49884*T1^6*T2^5 - 20161*T1^7*T2^5 - 
     12527*T1^8*T2^5 + 11977*T1^9*T2^5 - 2476*T1^10*T2^5 - 976*T1^11*T2^5 - 
     112*T2^6 - 644*T1*T2^6 + 5714*T1^2*T2^6 - 2437*T1^3*T2^6 - 
     22796*T1^4*T2^6 + 49884*T1^5*T2^6 - 22092*T1^6*T2^6 - 28752*T1^7*T2^6 + 
     46134*T1^8*T2^6 - 15887*T1^9*T2^6 - 2802*T1^10*T2^6 + 3308*T1^11*T2^6 + 
     272*T1^12*T2^6 + 240*T1*T2^7 - 1716*T1^2*T2^7 - 5997*T1^3*T2^7 + 
     22095*T1^4*T2^7 - 20161*T1^5*T2^7 - 28752*T1^6*T2^7 + 59796*T1^7*T2^7 - 
     38522*T1^8*T2^7 - 8003*T1^9*T2^7 + 14772*T1^10*T2^7 - 4300*T1^11*T2^7 - 
     1280*T1^12*T2^7 + 132*T1^2*T2^8 + 4292*T1^3*T2^8 - 5366*T1^4*T2^8 - 
     12527*T1^5*T2^8 + 46134*T1^6*T2^8 - 38522*T1^7*T2^8 - 2274*T1^8*T2^8 + 
     31143*T1^9*T2^8 - 15492*T1^10*T2^8 - 420*T1^11*T2^8 + 2884*T1^12*T2^8 - 
     1040*T1^3*T2^9 - 2244*T1^4*T2^9 + 11977*T1^5*T2^9 - 15887*T1^6*T2^9 - 
     8003*T1^7*T2^9 + 31143*T1^8*T2^9 - 27601*T1^9*T2^9 + 2388*T1^10*T2^9 + 
     7028*T1^11*T2^9 - 3680*T1^12*T2^9 + 1508*T1^4*T2^10 - 2476*T1^5*T2^10 - 
     2802*T1^6*T2^10 + 14772*T1^7*T2^10 - 15492*T1^8*T2^10 + 
     2388*T1^9*T2^10 + 10614*T1^10*T2^10 - 9012*T1^11*T2^10 + 
     2884*T1^12*T2^10 - 976*T1^5*T2^11 + 3308*T1^6*T2^11 - 4300*T1^7*T2^11 - 
     420*T1^8*T2^11 + 7028*T1^9*T2^11 - 9012*T1^10*T2^11 + 5056*T1^11*T2^11 - 
     1280*T1^12*T2^11 + 272*T1^6*T2^12 - 1280*T1^7*T2^12 + 2884*T1^8*T2^12 - 
     3680*T1^9*T2^12 + 2884*T1^10*T2^12 - 1280*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 515] -> 
  {((1 - T + T^2)*(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 148*T1^3 - 180*T1^4 + 148*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 595*T1^3*T2 + 
     483*T1^4*T2 - 91*T1^5*T2 - 189*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 775*T1^2*T2^2 + 307*T1^3*T2^2 + 
     787*T1^4*T2^2 - 1963*T1^5*T2^2 + 1795*T1^6*T2^2 - 953*T1^7*T2^2 + 
     65*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 148*T2^3 - 595*T1*T2^3 + 
     307*T1^2*T2^3 + 1782*T1^3*T2^3 - 3724*T1^4*T2^3 + 4252*T1^5*T2^3 - 
     1364*T1^6*T2^3 - 970*T1^7*T2^3 + 1884*T1^8*T2^3 - 848*T1^9*T2^3 + 
     35*T1^10*T2^3 + 37*T1^11*T2^3 - 180*T2^4 + 483*T1*T2^4 + 787*T1^2*T2^4 - 
     3724*T1^3*T2^4 + 3798*T1^4*T2^4 - 1170*T1^5*T2^4 - 4934*T1^6*T2^4 + 
     5862*T1^7*T2^4 - 3822*T1^8*T2^4 - 24*T1^9*T2^4 + 941*T1^10*T2^4 - 
     259*T1^11*T2^4 + 148*T2^5 - 91*T1*T2^5 - 1963*T1^2*T2^5 + 
     4252*T1^3*T2^5 - 1170*T1^4*T2^5 - 3291*T1^5*T2^5 + 9057*T1^6*T2^5 - 
     5027*T1^7*T2^5 - 335*T1^8*T2^5 + 4659*T1^9*T2^5 - 2532*T1^10*T2^5 - 
     10*T1^11*T2^5 + 259*T1^12*T2^5 - 37*T1^13*T2^5 - 84*T2^6 - 189*T1*T2^6 + 
     1795*T1^2*T2^6 - 1364*T1^3*T2^6 - 4934*T1^4*T2^6 + 9057*T1^5*T2^6 - 
     11338*T1^6*T2^6 + 1414*T1^7*T2^6 + 5462*T1^8*T2^6 - 6721*T1^9*T2^6 + 
     204*T1^10*T2^6 + 2500*T1^11*T2^6 - 921*T1^12*T2^6 - 35*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 953*T1^2*T2^7 - 970*T1^3*T2^7 + 
     5862*T1^4*T2^7 - 5027*T1^5*T2^7 + 1414*T1^6*T2^7 + 10194*T1^7*T2^7 - 
     11326*T1^8*T2^7 + 3673*T1^9*T2^7 + 5669*T1^10*T2^7 - 4779*T1^11*T2^7 + 
     60*T1^12*T2^7 + 832*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 65*T1^2*T2^8 + 1884*T1^3*T2^8 - 3822*T1^4*T2^8 - 
     335*T1^5*T2^8 + 5462*T1^6*T2^8 - 11326*T1^7*T2^8 + 4284*T1^8*T2^8 + 
     7290*T1^9*T2^8 - 9772*T1^10*T2^8 + 2091*T1^11*T2^8 + 3538*T1^12*T2^8 - 
     1848*T1^13*T2^8 - 61*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 848*T1^3*T2^9 - 24*T1^4*T2^9 + 
     4659*T1^5*T2^9 - 6721*T1^6*T2^9 + 3673*T1^7*T2^9 + 7290*T1^8*T2^9 - 
     14230*T1^9*T2^9 + 5932*T1^10*T2^9 + 3975*T1^11*T2^9 - 5982*T1^12*T2^9 + 
     1006*T1^13*T2^9 + 937*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 35*T1^3*T2^10 + 941*T1^4*T2^10 - 2532*T1^5*T2^10 + 
     204*T1^6*T2^10 + 5669*T1^7*T2^10 - 9772*T1^8*T2^10 + 5932*T1^9*T2^10 + 
     7028*T1^10*T2^10 - 10109*T1^11*T2^10 + 5342*T1^12*T2^10 + 
     1332*T1^13*T2^10 - 1775*T1^14*T2^10 + 189*T1^15*T2^10 + 84*T1^16*T2^10 + 
     37*T1^3*T2^11 - 259*T1^4*T2^11 - 10*T1^5*T2^11 + 2500*T1^6*T2^11 - 
     4779*T1^7*T2^11 + 2091*T1^8*T2^11 + 3975*T1^9*T2^11 - 
     10109*T1^10*T2^11 + 5047*T1^11*T2^11 + 1050*T1^12*T2^11 - 
     4284*T1^13*T2^11 + 1943*T1^14*T2^11 + 91*T1^15*T2^11 - 148*T1^16*T2^11 + 
     259*T1^5*T2^12 - 921*T1^6*T2^12 + 60*T1^7*T2^12 + 3538*T1^8*T2^12 - 
     5982*T1^9*T2^12 + 5342*T1^10*T2^12 + 1050*T1^11*T2^12 - 
     4082*T1^12*T2^12 + 3760*T1^13*T2^12 - 767*T1^14*T2^12 - 
     483*T1^15*T2^12 + 180*T1^16*T2^12 - 37*T1^5*T2^13 - 35*T1^6*T2^13 + 
     832*T1^7*T2^13 - 1848*T1^8*T2^13 + 1006*T1^9*T2^13 + 1332*T1^10*T2^13 - 
     4284*T1^11*T2^13 + 3760*T1^12*T2^13 - 1746*T1^13*T2^13 - 
     323*T1^14*T2^13 + 595*T1^15*T2^13 - 148*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 61*T1^8*T2^14 + 937*T1^9*T2^14 - 1775*T1^10*T2^14 + 
     1943*T1^11*T2^14 - 767*T1^12*T2^14 - 323*T1^13*T2^14 + 779*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 189*T1^10*T2^15 + 91*T1^11*T2^15 - 483*T1^12*T2^15 + 
     595*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 148*T1^11*T2^16 + 
     180*T1^12*T2^16 - 148*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 516] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6))/
     T^4), -((-5 + 35*T1 - 115*T1^2 + 235*T1^3 - 295*T1^4 + 235*T1^5 - 
      115*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 
      1001*T1^3*T2 + 749*T1^4*T2 + 7*T1^5*T2 - 511*T1^6*T2 + 399*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1340*T1^2*T2^2 + 
      1372*T1^3*T2^2 + 860*T1^4*T2^2 - 2944*T1^5*T2^2 + 2516*T1^6*T2^2 - 
      468*T1^7*T2^2 - 328*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 
      235*T2^3 - 1001*T1*T2^3 + 1372*T1^2*T2^3 + 498*T1^3*T2^3 - 
      5996*T1^4*T2^3 + 6444*T1^5*T2^3 - 752*T1^6*T2^3 - 4032*T1^7*T2^3 + 
      2436*T1^8*T2^3 - 583*T1^9*T2^3 - 175*T1^10*T2^3 + 94*T1^11*T2^3 - 
      295*T2^4 + 749*T1*T2^4 + 860*T1^2*T2^4 - 5996*T1^3*T2^4 + 
      12634*T1^4*T2^4 - 4014*T1^5*T2^4 - 8994*T1^6*T2^4 + 10234*T1^7*T2^4 + 
      2*T1^8*T2^4 - 2612*T1^9*T2^4 + 1682*T1^10*T2^4 - 245*T1^11*T2^4 - 
      59*T1^12*T2^4 + 235*T2^5 + 7*T1*T2^5 - 2944*T1^2*T2^5 + 
      6444*T1^3*T2^5 - 4014*T1^4*T2^5 - 19323*T1^5*T2^5 + 27187*T1^6*T2^5 - 
      7719*T1^7*T2^5 - 14147*T1^8*T2^5 + 9163*T1^9*T2^5 - 2360*T1^10*T2^5 - 
      757*T1^11*T2^5 + 413*T1^12*T2^5 - 115*T2^6 - 511*T1*T2^6 + 
      2516*T1^2*T2^6 - 752*T1^3*T2^6 - 8994*T1^4*T2^6 + 27187*T1^5*T2^6 - 
      4116*T1^6*T2^6 - 36262*T1^7*T2^6 + 43984*T1^8*T2^6 - 11531*T1^9*T2^6 - 
      2996*T1^10*T2^6 + 4032*T1^11*T2^6 - 808*T1^12*T2^6 - 161*T1^13*T2^6 + 
      23*T1^14*T2^6 + 35*T2^7 + 399*T1*T2^7 - 468*T1^2*T2^7 - 
      4032*T1^3*T2^7 + 10234*T1^4*T2^7 - 7719*T1^5*T2^7 - 36262*T1^6*T2^7 + 
      61000*T1^7*T2^7 - 29686*T1^8*T2^7 - 18677*T1^9*T2^7 + 
      19563*T1^10*T2^7 - 7227*T1^11*T2^7 - 316*T1^12*T2^7 + 797*T1^13*T2^7 - 
      63*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 328*T1^2*T2^8 + 
      2436*T1^3*T2^8 + 2*T1^4*T2^8 - 14147*T1^5*T2^8 + 43984*T1^6*T2^8 - 
      29686*T1^7*T2^8 - 23496*T1^8*T2^8 + 51134*T1^9*T2^8 - 
      23642*T1^10*T2^8 + 567*T1^11*T2^8 + 4398*T1^12*T2^8 - 1572*T1^13*T2^8 - 
      86*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 28*T1*T2^9 + 
      287*T1^2*T2^9 - 583*T1^3*T2^9 - 2612*T1^4*T2^9 + 9163*T1^5*T2^9 - 
      11531*T1^6*T2^9 - 18677*T1^7*T2^9 + 51134*T1^8*T2^9 - 39552*T1^9*T2^9 - 
      1092*T1^10*T2^9 + 15751*T1^11*T2^9 - 8298*T1^12*T2^9 + 
      1104*T1^13*T2^9 + 682*T1^14*T2^9 - 175*T1^15*T2^9 - 21*T1^16*T2^9 - 
      69*T1^2*T2^10 - 175*T1^3*T2^10 + 1682*T1^4*T2^10 - 2360*T1^5*T2^10 - 
      2996*T1^6*T2^10 + 19563*T1^7*T2^10 - 23642*T1^8*T2^10 - 
      1092*T1^9*T2^10 + 24458*T1^10*T2^10 - 19155*T1^11*T2^10 + 
      3002*T1^12*T2^10 + 2424*T1^13*T2^10 - 1642*T1^14*T2^10 + 
      175*T1^15*T2^10 + 69*T1^16*T2^10 + 94*T1^3*T2^11 - 245*T1^4*T2^11 - 
      757*T1^5*T2^11 + 4032*T1^6*T2^11 - 7227*T1^7*T2^11 + 567*T1^8*T2^11 + 
      15751*T1^9*T2^11 - 19155*T1^10*T2^11 + 5743*T1^11*T2^11 + 
      5950*T1^12*T2^11 - 4772*T1^13*T2^11 + 1430*T1^14*T2^11 + 
      161*T1^15*T2^11 - 141*T1^16*T2^11 - 59*T1^4*T2^12 + 413*T1^5*T2^12 - 
      808*T1^6*T2^12 - 316*T1^7*T2^12 + 4398*T1^8*T2^12 - 8298*T1^9*T2^12 + 
      3002*T1^10*T2^12 + 5950*T1^11*T2^12 - 8234*T1^12*T2^12 + 
      3068*T1^13*T2^12 + 14*T1^14*T2^12 - 581*T1^15*T2^12 + 177*T1^16*T2^12 - 
      161*T1^6*T2^13 + 797*T1^7*T2^13 - 1572*T1^8*T2^13 + 1104*T1^9*T2^13 + 
      2424*T1^10*T2^13 - 4772*T1^11*T2^13 + 3068*T1^12*T2^13 + 
      366*T1^13*T2^13 - 1158*T1^14*T2^13 + 665*T1^15*T2^13 - 
      141*T1^16*T2^13 + 23*T1^6*T2^14 - 63*T1^7*T2^14 - 86*T1^8*T2^14 + 
      682*T1^9*T2^14 - 1642*T1^10*T2^14 + 1430*T1^11*T2^14 + 14*T1^12*T2^14 - 
      1158*T1^13*T2^14 + 926*T1^14*T2^14 - 385*T1^15*T2^14 + 69*T1^16*T2^14 - 
      14*T1^7*T2^15 + 77*T1^8*T2^15 - 175*T1^9*T2^15 + 175*T1^10*T2^15 + 
      161*T1^11*T2^15 - 581*T1^12*T2^15 + 665*T1^13*T2^15 - 385*T1^14*T2^15 + 
      133*T1^15*T2^15 - 21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 
      69*T1^10*T2^16 - 141*T1^11*T2^16 + 177*T1^12*T2^16 - 141*T1^13*T2^16 + 
      69*T1^14*T2^16 - 21*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 517] -> 
  {((1 - 3*T + T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 114*T1^2 + 174*T1^3 - 198*T1^4 + 174*T1^5 - 114*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 553*T1^2*T2 - 553*T1^3*T2 + 
     371*T1^4*T2 - 63*T1^5*T2 - 217*T1^6*T2 + 371*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 114*T2^2 + 553*T1*T2^2 - 533*T1^2*T2^2 - 795*T1^3*T2^2 + 
     1869*T1^4*T2^2 - 2541*T1^5*T2^2 + 2401*T1^6*T2^2 - 1631*T1^7*T2^2 + 
     151*T1^8*T2^2 + 287*T1^9*T2^2 - 76*T1^10*T2^2 + 174*T2^3 - 553*T1*T2^3 - 
     795*T1^2*T2^3 + 3904*T1^3*T2^3 - 4048*T1^4*T2^3 + 3124*T1^5*T2^3 - 
     946*T1^6*T2^3 - 1144*T1^7*T2^3 + 3056*T1^8*T2^3 - 1384*T1^9*T2^3 - 
     77*T1^10*T2^3 + 87*T1^11*T2^3 - 198*T2^4 + 371*T1*T2^4 + 
     1869*T1^2*T2^4 - 4048*T1^3*T2^4 - 193*T1^4*T2^4 + 3127*T1^5*T2^4 - 
     5745*T1^6*T2^4 + 5907*T1^7*T2^4 - 4901*T1^8*T2^4 - 568*T1^9*T2^4 + 
     1535*T1^10*T2^4 - 147*T1^11*T2^4 - 66*T1^12*T2^4 + 174*T2^5 - 
     63*T1*T2^5 - 2541*T1^2*T2^5 + 3124*T1^3*T2^5 + 3127*T1^4*T2^5 - 
     3537*T1^5*T2^5 + 3533*T1^6*T2^5 - 1135*T1^7*T2^5 - 459*T1^8*T2^5 + 
     4806*T1^9*T2^5 - 1430*T1^10*T2^5 - 996*T1^11*T2^5 + 259*T1^12*T2^5 + 
     29*T1^13*T2^5 - 114*T2^6 - 217*T1*T2^6 + 2401*T1^2*T2^6 - 
     946*T1^3*T2^6 - 5745*T1^4*T2^6 + 3533*T1^5*T2^6 - 2686*T1^6*T2^6 + 
     696*T1^7*T2^6 - 942*T1^8*T2^6 - 1377*T1^9*T2^6 - 2959*T1^10*T2^6 + 
     2398*T1^11*T2^6 + 137*T1^12*T2^6 - 203*T1^13*T2^6 + 42*T2^7 + 
     371*T1*T2^7 - 1631*T1^2*T2^7 - 1144*T1^3*T2^7 + 5907*T1^4*T2^7 - 
     1135*T1^5*T2^7 + 696*T1^6*T2^7 - 768*T1^7*T2^7 + 2344*T1^8*T2^7 - 
     469*T1^9*T2^7 + 3049*T1^10*T2^7 - 176*T1^11*T2^7 - 1744*T1^12*T2^7 + 
     440*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 
     151*T1^2*T2^8 + 3056*T1^3*T2^8 - 4901*T1^4*T2^8 - 459*T1^5*T2^8 - 
     942*T1^6*T2^8 + 2344*T1^7*T2^8 - 2316*T1^8*T2^8 - 640*T1^9*T2^8 - 
     112*T1^10*T2^8 - 2589*T1^11*T2^8 + 2499*T1^12*T2^8 - 16*T1^13*T2^8 - 
     311*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     287*T1^2*T2^9 - 1384*T1^3*T2^9 - 568*T1^4*T2^9 + 4806*T1^5*T2^9 - 
     1377*T1^6*T2^9 - 469*T1^7*T2^9 - 640*T1^8*T2^9 + 2472*T1^9*T2^9 - 
     1634*T1^10*T2^9 + 2807*T1^11*T2^9 - 1277*T1^12*T2^9 - 1168*T1^13*T2^9 + 
     687*T1^14*T2^9 - 35*T1^15*T2^9 - 14*T1^16*T2^9 - 76*T1^2*T2^10 - 
     77*T1^3*T2^10 + 1535*T1^4*T2^10 - 1430*T1^5*T2^10 - 2959*T1^6*T2^10 + 
     3049*T1^7*T2^10 - 112*T1^8*T2^10 - 1634*T1^9*T2^10 + 1632*T1^10*T2^10 - 
     1861*T1^11*T2^10 - 173*T1^12*T2^10 + 1914*T1^13*T2^10 - 
     729*T1^14*T2^10 - 63*T1^15*T2^10 + 38*T1^16*T2^10 + 87*T1^3*T2^11 - 
     147*T1^4*T2^11 - 996*T1^5*T2^11 + 2398*T1^6*T2^11 - 176*T1^7*T2^11 - 
     2589*T1^8*T2^11 + 2807*T1^9*T2^11 - 1861*T1^10*T2^11 + 489*T1^11*T2^11 + 
     1503*T1^12*T2^11 - 2156*T1^13*T2^11 + 549*T1^14*T2^11 + 
     175*T1^15*T2^11 - 58*T1^16*T2^11 - 66*T1^4*T2^12 + 259*T1^5*T2^12 + 
     137*T1^6*T2^12 - 1744*T1^7*T2^12 + 2499*T1^8*T2^12 - 1277*T1^9*T2^12 - 
     173*T1^10*T2^12 + 1503*T1^11*T2^12 - 2209*T1^12*T2^12 + 
     1736*T1^13*T2^12 - 197*T1^14*T2^12 - 259*T1^15*T2^12 + 66*T1^16*T2^12 + 
     29*T1^5*T2^13 - 203*T1^6*T2^13 + 440*T1^7*T2^13 - 16*T1^8*T2^13 - 
     1168*T1^9*T2^13 + 1914*T1^10*T2^13 - 2156*T1^11*T2^13 + 
     1736*T1^12*T2^13 - 864*T1^13*T2^13 - 149*T1^14*T2^13 + 273*T1^15*T2^13 - 
     58*T1^16*T2^13 + 49*T1^7*T2^14 - 311*T1^8*T2^14 + 687*T1^9*T2^14 - 
     729*T1^10*T2^14 + 549*T1^11*T2^14 - 197*T1^12*T2^14 - 149*T1^13*T2^14 + 
     373*T1^14*T2^14 - 217*T1^15*T2^14 + 38*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 35*T1^9*T2^15 - 63*T1^10*T2^15 + 175*T1^11*T2^15 - 
     259*T1^12*T2^15 + 273*T1^13*T2^15 - 217*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 38*T1^10*T2^16 - 
     58*T1^11*T2^16 + 66*T1^12*T2^16 - 58*T1^13*T2^16 + 38*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 518] -> 
  {-((2 - 13*T + 37*T^2 - 53*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 163*T1 - 465*T1^2 + 667*T1^3 - 465*T1^4 + 163*T1^5 - 25*T1^6 + 
      163*T2 - 952*T1*T2 + 2308*T1^2*T2 - 2280*T1^3*T2 + 60*T1^4*T2 + 
      1008*T1^5*T2 - 562*T1^6*T2 + 111*T1^7*T2 - 465*T2^2 + 2308*T1*T2^2 - 
      4094*T1^2*T2^2 + 30*T1^3*T2^2 + 7532*T1^4*T2^2 - 5890*T1^5*T2^2 + 
      1086*T1^6*T2^2 + 384*T1^7*T2^2 - 169*T1^8*T2^2 + 667*T2^3 - 
      2280*T1*T2^3 + 30*T1^2*T2^3 + 13469*T1^3*T2^3 - 22343*T1^4*T2^3 + 
      5047*T1^5*T2^3 + 6909*T1^6*T2^3 - 4521*T1^7*T2^3 + 892*T1^8*T2^3 + 
      31*T1^9*T2^3 - 465*T2^4 + 60*T1*T2^4 + 7532*T1^2*T2^4 - 
      22343*T1^3*T2^4 + 13068*T1^4*T2^4 + 27740*T1^5*T2^4 - 31692*T1^6*T2^4 + 
      10199*T1^7*T2^4 + 570*T1^8*T2^4 - 1032*T1^9*T2^4 + 127*T1^10*T2^4 + 
      163*T2^5 + 1008*T1*T2^5 - 5890*T1^2*T2^5 + 5047*T1^3*T2^5 + 
      27740*T1^4*T2^5 - 67208*T1^5*T2^5 + 39082*T1^6*T2^5 + 4245*T1^7*T2^5 - 
      12039*T1^8*T2^5 + 4137*T1^9*T2^5 - 188*T1^10*T2^5 - 97*T1^11*T2^5 - 
      25*T2^6 - 562*T1*T2^6 + 1086*T1^2*T2^6 + 6909*T1^3*T2^6 - 
      31692*T1^4*T2^6 + 39082*T1^5*T2^6 + 10728*T1^6*T2^6 - 47090*T1^7*T2^6 + 
      29198*T1^8*T2^6 - 4945*T1^9*T2^6 - 1338*T1^10*T2^6 + 478*T1^11*T2^6 + 
      23*T1^12*T2^6 + 111*T1*T2^7 + 384*T1^2*T2^7 - 4521*T1^3*T2^7 + 
      10199*T1^4*T2^7 + 4245*T1^5*T2^7 - 47090*T1^6*T2^7 + 59200*T1^7*T2^7 - 
      19250*T1^8*T2^7 - 6887*T1^9*T2^7 + 5506*T1^10*T2^7 - 812*T1^11*T2^7 - 
      149*T1^12*T2^7 - 169*T1^2*T2^8 + 892*T1^3*T2^8 + 570*T1^4*T2^8 - 
      12039*T1^5*T2^8 + 29198*T1^6*T2^8 - 19250*T1^7*T2^8 - 15562*T1^8*T2^8 + 
      20503*T1^9*T2^8 - 6392*T1^10*T2^8 - 200*T1^11*T2^8 + 423*T1^12*T2^8 + 
      31*T1^3*T2^9 - 1032*T1^4*T2^9 + 4137*T1^5*T2^9 - 4945*T1^6*T2^9 - 
      6887*T1^7*T2^9 + 20503*T1^8*T2^9 - 11505*T1^9*T2^9 - 414*T1^10*T2^9 + 
      2140*T1^11*T2^9 - 605*T1^12*T2^9 + 127*T1^4*T2^10 - 188*T1^5*T2^10 - 
      1338*T1^6*T2^10 + 5506*T1^7*T2^10 - 6392*T1^8*T2^10 - 414*T1^9*T2^10 + 
      3842*T1^10*T2^10 - 2112*T1^11*T2^10 + 423*T1^12*T2^10 - 97*T1^5*T2^11 + 
      478*T1^6*T2^11 - 812*T1^7*T2^11 - 200*T1^8*T2^11 + 2140*T1^9*T2^11 - 
      2112*T1^10*T2^11 + 868*T1^11*T2^11 - 149*T1^12*T2^11 + 23*T1^6*T2^12 - 
      149*T1^7*T2^12 + 423*T1^8*T2^12 - 605*T1^9*T2^12 + 423*T1^10*T2^12 - 
      149*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 519] -> 
  {-((2 - 8*T + 14*T^2 - 20*T^3 + 23*T^4 - 20*T^5 + 14*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 395*T1^2 + 563*T1^3 - 647*T1^4 + 563*T1^5 - 
      395*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 800*T1^2*T2 - 
      896*T1^3*T2 + 656*T1^4*T2 - 32*T1^5*T2 - 352*T1^6*T2 + 448*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 395*T2^2 + 800*T1*T2^2 + 70*T1^2*T2^2 - 
      390*T1^3*T2^2 + 1294*T1^4*T2^2 - 2202*T1^5*T2^2 + 1798*T1^6*T2^2 - 
      1062*T1^7*T2^2 + 742*T1^8*T2^2 + 352*T1^9*T2^2 - 283*T1^10*T2^2 + 
      563*T2^3 - 896*T1*T2^3 - 390*T1^2*T2^3 - 188*T1^3*T2^3 - 
      568*T1^4*T2^3 + 936*T1^5*T2^3 + 200*T1^6*T2^3 - 480*T1^7*T2^3 - 
      12*T1^8*T2^3 - 950*T1^9*T2^3 - 160*T1^10*T2^3 + 323*T1^11*T2^3 - 
      647*T2^4 + 656*T1*T2^4 + 1294*T1^2*T2^4 - 568*T1^3*T2^4 + 
      2621*T1^4*T2^4 - 3387*T1^5*T2^4 + 2473*T1^6*T2^4 - 2715*T1^7*T2^4 + 
      2645*T1^8*T2^4 - 408*T1^9*T2^4 + 1310*T1^10*T2^4 - 176*T1^11*T2^4 - 
      279*T1^12*T2^4 + 563*T2^5 - 32*T1*T2^5 - 2202*T1^2*T2^5 + 
      936*T1^3*T2^5 - 3387*T1^4*T2^5 + 2966*T1^5*T2^5 - 1218*T1^6*T2^5 + 
      1110*T1^7*T2^5 - 226*T1^8*T2^5 - 2003*T1^9*T2^5 + 8*T1^10*T2^5 - 
      1146*T1^11*T2^5 + 464*T1^12*T2^5 + 163*T1^13*T2^5 - 395*T2^6 - 
      352*T1*T2^6 + 1798*T1^2*T2^6 + 200*T1^3*T2^6 + 2473*T1^4*T2^6 - 
      1218*T1^5*T2^6 + 110*T1^6*T2^6 - 990*T1^7*T2^6 + 242*T1^8*T2^6 + 
      1134*T1^9*T2^6 + 1265*T1^10*T2^6 + 648*T1^11*T2^6 + 318*T1^12*T2^6 - 
      416*T1^13*T2^6 - 59*T1^14*T2^6 + 227*T2^7 + 448*T1*T2^7 - 
      1062*T1^2*T2^7 - 480*T1^3*T2^7 - 2715*T1^4*T2^7 + 1110*T1^5*T2^7 - 
      990*T1^6*T2^7 + 2006*T1^7*T2^7 - 414*T1^8*T2^7 - 638*T1^9*T2^7 - 
      1170*T1^10*T2^7 - 1251*T1^11*T2^7 - 280*T1^12*T2^7 + 170*T1^13*T2^7 + 
      224*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 742*T1^2*T2^8 - 
      12*T1^3*T2^8 + 2645*T1^4*T2^8 - 226*T1^5*T2^8 + 242*T1^6*T2^8 - 
      414*T1^7*T2^8 - 1680*T1^8*T2^8 + 1730*T1^9*T2^8 - 126*T1^10*T2^8 + 
      1886*T1^11*T2^8 + 277*T1^12*T2^8 + 52*T1^13*T2^8 - 314*T1^14*T2^8 - 
      38*T1^15*T2^8 + 7*T1^16*T2^8 + 195*T1*T2^9 + 352*T1^2*T2^9 - 
      950*T1^3*T2^9 - 408*T1^4*T2^9 - 2003*T1^5*T2^9 + 1134*T1^6*T2^9 - 
      638*T1^7*T2^9 + 1730*T1^8*T2^9 - 690*T1^9*T2^9 - 286*T1^10*T2^9 - 
      1146*T1^11*T2^9 - 539*T1^12*T2^9 - 208*T1^13*T2^9 + 282*T1^14*T2^9 + 
      128*T1^15*T2^9 - 29*T1^16*T2^9 - 283*T1^2*T2^10 - 160*T1^3*T2^10 + 
      1310*T1^4*T2^10 + 8*T1^5*T2^10 + 1265*T1^6*T2^10 - 1170*T1^7*T2^10 - 
      126*T1^8*T2^10 - 286*T1^9*T2^10 + 6*T1^10*T2^10 + 1182*T1^11*T2^10 + 
      57*T1^12*T2^10 + 456*T1^13*T2^10 - 170*T1^14*T2^10 - 224*T1^15*T2^10 + 
      53*T1^16*T2^10 + 323*T1^3*T2^11 - 176*T1^4*T2^11 - 1146*T1^5*T2^11 + 
      648*T1^6*T2^11 - 1251*T1^7*T2^11 + 1886*T1^8*T2^11 - 1146*T1^9*T2^11 + 
      1182*T1^10*T2^11 - 1306*T1^11*T2^11 + 133*T1^12*T2^11 - 
      280*T1^13*T2^11 - 90*T1^14*T2^11 + 320*T1^15*T2^11 - 77*T1^16*T2^11 - 
      279*T1^4*T2^12 + 464*T1^5*T2^12 + 318*T1^6*T2^12 - 280*T1^7*T2^12 + 
      277*T1^8*T2^12 - 539*T1^9*T2^12 + 57*T1^10*T2^12 + 133*T1^11*T2^12 + 
      301*T1^12*T2^12 - 120*T1^13*T2^12 + 334*T1^14*T2^12 - 368*T1^15*T2^12 + 
      89*T1^16*T2^12 + 163*T1^5*T2^13 - 416*T1^6*T2^13 + 170*T1^7*T2^13 + 
      52*T1^8*T2^13 - 208*T1^9*T2^13 + 456*T1^10*T2^13 - 280*T1^11*T2^13 - 
      120*T1^12*T2^13 + 228*T1^13*T2^13 - 390*T1^14*T2^13 + 320*T1^15*T2^13 - 
      77*T1^16*T2^13 - 59*T1^6*T2^14 + 224*T1^7*T2^14 - 314*T1^8*T2^14 + 
      282*T1^9*T2^14 - 170*T1^10*T2^14 - 90*T1^11*T2^14 + 334*T1^12*T2^14 - 
      390*T1^13*T2^14 + 358*T1^14*T2^14 - 224*T1^15*T2^14 + 53*T1^16*T2^14 + 
      3*T1^7*T2^15 - 38*T1^8*T2^15 + 128*T1^9*T2^15 - 224*T1^10*T2^15 + 
      320*T1^11*T2^15 - 368*T1^12*T2^15 + 320*T1^13*T2^15 - 224*T1^14*T2^15 + 
      122*T1^15*T2^15 - 29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 
      53*T1^10*T2^16 - 77*T1^11*T2^16 + 89*T1^12*T2^16 - 77*T1^13*T2^16 + 
      53*T1^14*T2^16 - 29*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 520] -> 
  {-((4 - 17*T + 29*T^2 - 33*T^3 + 29*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-336 + 1420*T1 - 2408*T1^2 + 2736*T1^3 - 2408*T1^4 + 1420*T1^5 - 
      336*T1^6 + 1420*T2 - 4858*T1*T2 + 5344*T1^2*T2 - 3364*T1^3*T2 + 
      852*T1^4*T2 + 2216*T1^5*T2 - 3430*T1^6*T2 + 1148*T1^7*T2 - 2408*T2^2 + 
      5344*T1*T2^2 + 1708*T1^2*T2^2 - 8986*T1^3*T2^2 + 11864*T1^4*T2^2 - 
      12698*T1^5*T2^2 + 7508*T1^6*T2^2 + 1400*T1^7*T2^2 - 1480*T1^8*T2^2 + 
      2736*T2^3 - 3364*T1*T2^3 - 8986*T1^2*T2^3 + 12161*T1^3*T2^3 - 
      8027*T1^4*T2^3 + 4323*T1^5*T2^3 + 4135*T1^6*T2^3 - 10117*T1^7*T2^3 + 
      1396*T1^8*T2^3 + 1152*T1^9*T2^3 - 2408*T2^4 + 852*T1*T2^4 + 
      11864*T1^2*T2^4 - 8027*T1^3*T2^4 + 986*T1^4*T2^4 + 858*T1^5*T2^4 - 
      5366*T1^6*T2^4 + 4711*T1^7*T2^4 + 6246*T1^8*T2^4 - 2548*T1^9*T2^4 - 
      552*T1^10*T2^4 + 1420*T2^5 + 2216*T1*T2^5 - 12698*T1^2*T2^5 + 
      4323*T1^3*T2^5 + 858*T1^4*T2^5 + 1424*T1^5*T2^5 - 136*T1^6*T2^5 + 
      1699*T1^7*T2^5 - 7251*T1^8*T2^5 - 1243*T1^9*T2^5 + 2080*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3430*T1*T2^6 + 7508*T1^2*T2^6 + 
      4135*T1^3*T2^6 - 5366*T1^4*T2^6 - 136*T1^5*T2^6 - 576*T1^6*T2^6 + 
      220*T1^7*T2^6 + 1320*T1^8*T2^6 + 5897*T1^9*T2^6 - 2632*T1^10*T2^6 - 
      438*T1^11*T2^6 + 48*T1^12*T2^6 + 1148*T1*T2^7 + 1400*T1^2*T2^7 - 
      10117*T1^3*T2^7 + 4711*T1^4*T2^7 + 1699*T1^5*T2^7 + 220*T1^6*T2^7 - 
      1340*T1^7*T2^7 + 2540*T1^8*T2^7 - 6863*T1^9*T2^7 + 1338*T1^10*T2^7 + 
      1264*T1^11*T2^7 - 212*T1^12*T2^7 - 1480*T1^2*T2^8 + 1396*T1^3*T2^8 + 
      6246*T1^4*T2^8 - 7251*T1^5*T2^8 + 1320*T1^6*T2^8 + 2540*T1^7*T2^8 - 
      5032*T1^8*T2^8 + 5487*T1^9*T2^8 + 628*T1^10*T2^8 - 2004*T1^11*T2^8 + 
      376*T1^12*T2^8 + 1152*T1^3*T2^9 - 2548*T1^4*T2^9 - 1243*T1^5*T2^9 + 
      5897*T1^6*T2^9 - 6863*T1^7*T2^9 + 5487*T1^8*T2^9 - 2129*T1^9*T2^9 - 
      2374*T1^10*T2^9 + 2212*T1^11*T2^9 - 432*T1^12*T2^9 - 552*T1^4*T2^10 + 
      2080*T1^5*T2^10 - 2632*T1^6*T2^10 + 1338*T1^7*T2^10 + 628*T1^8*T2^10 - 
      2374*T1^9*T2^10 + 3168*T1^10*T2^10 - 1864*T1^11*T2^10 + 
      376*T1^12*T2^10 + 60*T1^5*T2^11 - 438*T1^6*T2^11 + 1264*T1^7*T2^11 - 
      2004*T1^8*T2^11 + 2212*T1^9*T2^11 - 1864*T1^10*T2^11 + 
      990*T1^11*T2^11 - 212*T1^12*T2^11 + 48*T1^6*T2^12 - 212*T1^7*T2^12 + 
      376*T1^8*T2^12 - 432*T1^9*T2^12 + 376*T1^10*T2^12 - 212*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 521] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 21*T^4 - 21*T^5 + 17*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 102*T1^2 + 126*T1^3 - 126*T1^4 + 126*T1^5 - 102*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 469*T1^2*T2 - 287*T1^3*T2 + 
     147*T1^4*T2 - 147*T1^5*T2 - 21*T1^6*T2 + 301*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 102*T2^2 + 469*T1*T2^2 - 93*T1^2*T2^2 - 1527*T1^3*T2^2 + 
     1827*T1^4*T2^2 - 1559*T1^5*T2^2 + 1963*T1^6*T2^2 - 2003*T1^7*T2^2 + 
     451*T1^8*T2^2 + 231*T1^9*T2^2 - 68*T1^10*T2^2 + 126*T2^3 - 287*T1*T2^3 - 
     1527*T1^2*T2^3 + 4164*T1^3*T2^3 - 2230*T1^4*T2^3 + 952*T1^5*T2^3 - 
     1652*T1^6*T2^3 + 528*T1^7*T2^3 + 2694*T1^8*T2^3 - 1646*T1^9*T2^3 + 
     35*T1^10*T2^3 + 63*T1^11*T2^3 - 126*T2^4 + 147*T1*T2^4 + 
     1827*T1^2*T2^4 - 2230*T1^3*T2^4 - 3670*T1^4*T2^4 + 4408*T1^5*T2^4 - 
     2698*T1^6*T2^4 + 4408*T1^7*T2^4 - 6106*T1^8*T2^4 + 710*T1^9*T2^4 + 
     1197*T1^10*T2^4 - 147*T1^11*T2^4 - 42*T1^12*T2^4 + 126*T2^5 - 
     147*T1*T2^5 - 1559*T1^2*T2^5 + 952*T1^3*T2^5 + 4408*T1^4*T2^5 - 
     1717*T1^5*T2^5 - 671*T1^6*T2^5 - 1427*T1^7*T2^5 + 1811*T1^8*T2^5 + 
     3337*T1^9*T2^5 - 1484*T1^10*T2^5 - 614*T1^11*T2^5 + 147*T1^12*T2^5 + 
     21*T1^13*T2^5 - 102*T2^6 - 21*T1*T2^6 + 1963*T1^2*T2^6 - 
     1652*T1^3*T2^6 - 2698*T1^4*T2^6 - 671*T1^5*T2^6 + 1408*T1^6*T2^6 + 
     1836*T1^7*T2^6 - 2336*T1^8*T2^6 - 1049*T1^9*T2^6 - 1480*T1^10*T2^6 + 
     1204*T1^11*T2^6 + 295*T1^12*T2^6 - 147*T1^13*T2^6 + 42*T2^7 + 
     301*T1*T2^7 - 2003*T1^2*T2^7 + 528*T1^3*T2^7 + 4408*T1^4*T2^7 - 
     1427*T1^5*T2^7 + 1836*T1^6*T2^7 - 4926*T1^7*T2^7 + 3362*T1^8*T2^7 + 
     863*T1^9*T2^7 + 85*T1^10*T2^7 + 1195*T1^11*T2^7 - 1502*T1^12*T2^7 + 
     258*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 
     451*T1^2*T2^8 + 2694*T1^3*T2^8 - 6106*T1^4*T2^8 + 1811*T1^5*T2^8 - 
     2336*T1^6*T2^8 + 3362*T1^7*T2^8 + 1344*T1^8*T2^8 - 4646*T1^9*T2^8 + 
     2398*T1^10*T2^8 - 2347*T1^11*T2^8 + 1366*T1^12*T2^8 + 314*T1^13*T2^8 - 
     315*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     231*T1^2*T2^9 - 1646*T1^3*T2^9 + 710*T1^4*T2^9 + 3337*T1^5*T2^9 - 
     1049*T1^6*T2^9 + 863*T1^7*T2^9 - 4646*T1^8*T2^9 + 3642*T1^9*T2^9 - 
     110*T1^10*T2^9 + 463*T1^11*T2^9 + 124*T1^12*T2^9 - 1320*T1^13*T2^9 + 
     615*T1^14*T2^9 - 21*T1^15*T2^9 - 14*T1^16*T2^9 - 68*T1^2*T2^10 + 
     35*T1^3*T2^10 + 1197*T1^4*T2^10 - 1484*T1^5*T2^10 - 1480*T1^6*T2^10 + 
     85*T1^7*T2^10 + 2398*T1^8*T2^10 - 110*T1^9*T2^10 - 1346*T1^10*T2^10 - 
     293*T1^11*T2^10 - 262*T1^12*T2^10 + 1372*T1^13*T2^10 - 471*T1^14*T2^10 - 
     91*T1^15*T2^10 + 34*T1^16*T2^10 + 63*T1^3*T2^11 - 147*T1^4*T2^11 - 
     614*T1^5*T2^11 + 1204*T1^6*T2^11 + 1195*T1^7*T2^11 - 2347*T1^8*T2^11 + 
     463*T1^9*T2^11 - 293*T1^10*T2^11 + 1181*T1^11*T2^11 + 124*T1^12*T2^11 - 
     1232*T1^13*T2^11 + 331*T1^14*T2^11 + 147*T1^15*T2^11 - 42*T1^16*T2^11 - 
     42*T1^4*T2^12 + 147*T1^5*T2^12 + 295*T1^6*T2^12 - 1502*T1^7*T2^12 + 
     1366*T1^8*T2^12 + 124*T1^9*T2^12 - 262*T1^10*T2^12 + 124*T1^11*T2^12 - 
     1070*T1^12*T2^12 + 1438*T1^13*T2^12 - 335*T1^14*T2^12 - 
     147*T1^15*T2^12 + 42*T1^16*T2^12 + 21*T1^5*T2^13 - 147*T1^6*T2^13 + 
     258*T1^7*T2^13 + 314*T1^8*T2^13 - 1320*T1^9*T2^13 + 1372*T1^10*T2^13 - 
     1232*T1^11*T2^13 + 1438*T1^12*T2^13 - 1156*T1^13*T2^13 + 
     139*T1^14*T2^13 + 175*T1^15*T2^13 - 42*T1^16*T2^13 + 49*T1^7*T2^14 - 
     315*T1^8*T2^14 + 615*T1^9*T2^14 - 471*T1^10*T2^14 + 331*T1^11*T2^14 - 
     335*T1^12*T2^14 + 139*T1^13*T2^14 + 229*T1^14*T2^14 - 189*T1^15*T2^14 + 
     34*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 21*T1^9*T2^15 - 
     91*T1^10*T2^15 + 147*T1^11*T2^15 - 147*T1^12*T2^15 + 175*T1^13*T2^15 - 
     189*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 34*T1^10*T2^16 - 42*T1^11*T2^16 + 42*T1^12*T2^16 - 
     42*T1^13*T2^16 + 34*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 522] -> 
  {-((4 - 19*T + 39*T^2 - 49*T^3 + 39*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-336 + 1584*T1 - 3228*T1^2 + 4048*T1^3 - 3228*T1^4 + 1584*T1^5 - 
      336*T1^6 + 1584*T2 - 6196*T1*T2 + 9220*T1^2*T2 - 6844*T1^3*T2 - 
      156*T1^4*T2 + 4812*T1^5*T2 - 4448*T1^6*T2 + 1280*T1^7*T2 - 3228*T2^2 + 
      9220*T1*T2^2 - 4655*T1^2*T2^2 - 9751*T1^3*T2^2 + 22837*T1^4*T2^2 - 
      19111*T1^5*T2^2 + 6265*T1^6*T2^2 + 3292*T1^7*T2^2 - 1980*T1^8*T2^2 + 
      4048*T2^3 - 6844*T1*T2^3 - 9751*T1^2*T2^3 + 27685*T1^3*T2^3 - 
      28197*T1^4*T2^3 + 2907*T1^5*T2^3 + 15871*T1^6*T2^3 - 15640*T1^7*T2^3 + 
      1364*T1^8*T2^3 + 1696*T1^9*T2^3 - 3228*T2^4 - 156*T1*T2^4 + 
      22837*T1^2*T2^4 - 28197*T1^3*T2^4 + 7869*T1^4*T2^4 + 25407*T1^5*T2^4 - 
      26151*T1^6*T2^4 + 6397*T1^7*T2^4 + 11795*T1^8*T2^4 - 4564*T1^9*T2^4 - 
      732*T1^10*T2^4 + 1584*T2^5 + 4812*T1*T2^5 - 19111*T1^2*T2^5 + 
      2907*T1^3*T2^5 + 25407*T1^4*T2^5 - 38662*T1^5*T2^5 + 9312*T1^6*T2^5 + 
      17568*T1^7*T2^5 - 21217*T1^8*T2^5 + 662*T1^9*T2^5 + 3140*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4448*T1*T2^6 + 6265*T1^2*T2^6 + 
      15871*T1^3*T2^6 - 26151*T1^4*T2^6 + 9312*T1^5*T2^6 + 27552*T1^6*T2^6 - 
      33232*T1^7*T2^6 + 13307*T1^8*T2^6 + 9685*T1^9*T2^6 - 5259*T1^10*T2^6 - 
      496*T1^11*T2^6 + 48*T1^12*T2^6 + 1280*T1*T2^7 + 3292*T1^2*T2^7 - 
      15640*T1^3*T2^7 + 6397*T1^4*T2^7 + 17568*T1^5*T2^7 - 33232*T1^6*T2^7 + 
      14742*T1^7*T2^7 + 9729*T1^8*T2^7 - 17727*T1^9*T2^7 + 4133*T1^10*T2^7 + 
      1620*T1^11*T2^7 - 240*T1^12*T2^7 - 1980*T1^2*T2^8 + 1364*T1^3*T2^8 + 
      11795*T1^4*T2^8 - 21217*T1^5*T2^8 + 13307*T1^6*T2^8 + 9729*T1^7*T2^8 - 
      20713*T1^8*T2^8 + 13377*T1^9*T2^8 + 753*T1^10*T2^8 - 3044*T1^11*T2^8 + 
      516*T1^12*T2^8 + 1696*T1^3*T2^9 - 4564*T1^4*T2^9 + 662*T1^5*T2^9 + 
      9685*T1^6*T2^9 - 17727*T1^7*T2^9 + 13377*T1^8*T2^9 - 2129*T1^9*T2^9 - 
      5227*T1^10*T2^9 + 3644*T1^11*T2^9 - 656*T1^12*T2^9 - 732*T1^4*T2^10 + 
      3140*T1^5*T2^10 - 5259*T1^6*T2^10 + 4133*T1^7*T2^10 + 753*T1^8*T2^10 - 
      5227*T1^9*T2^10 + 5661*T1^10*T2^10 - 2788*T1^11*T2^10 + 
      516*T1^12*T2^10 + 64*T1^5*T2^11 - 496*T1^6*T2^11 + 1620*T1^7*T2^11 - 
      3044*T1^8*T2^11 + 3644*T1^9*T2^11 - 2788*T1^10*T2^11 + 
      1252*T1^11*T2^11 - 240*T1^12*T2^11 + 48*T1^6*T2^12 - 240*T1^7*T2^12 + 
      516*T1^8*T2^12 - 656*T1^9*T2^12 + 516*T1^10*T2^12 - 240*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 523] -> 
  {((1 - T + T^2)*(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6))/T^4, 
   (-33 + 164*T1 - 425*T1^2 + 702*T1^3 - 833*T1^4 + 702*T1^5 - 425*T1^6 + 
     164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1500*T1^2*T2 - 1900*T1^3*T2 + 
     1512*T1^4*T2 - 368*T1^5*T2 - 520*T1^6*T2 + 780*T1^7*T2 - 452*T1^8*T2 + 
     124*T1^9*T2 - 425*T2^2 + 1500*T1*T2^2 - 2655*T1^2*T2^2 + 
     2255*T1^3*T2^2 - 541*T1^4*T2^2 - 1751*T1^5*T2^2 + 2059*T1^6*T2^2 - 
     1177*T1^7*T2^2 - 159*T1^8*T2^2 + 460*T1^9*T2^2 - 217*T1^10*T2^2 + 
     702*T2^3 - 1900*T1*T2^3 + 2255*T1^2*T2^3 + 300*T1^3*T2^3 - 
     3076*T1^4*T2^3 + 4771*T1^5*T2^3 - 1867*T1^6*T2^3 - 874*T1^7*T2^3 + 
     2550*T1^8*T2^3 - 1333*T1^9*T2^3 + 160*T1^10*T2^3 + 186*T1^11*T2^3 - 
     833*T2^4 + 1512*T1*T2^4 - 541*T1^2*T2^4 - 3076*T1^3*T2^4 + 
     3467*T1^4*T2^4 - 1384*T1^5*T2^4 - 5401*T1^6*T2^4 + 6652*T1^7*T2^4 - 
     4921*T1^8*T2^4 + 20*T1^9*T2^4 + 1467*T1^10*T2^4 - 848*T1^11*T2^4 - 
     17*T1^12*T2^4 + 702*T2^5 - 368*T1*T2^5 - 1751*T1^2*T2^5 + 
     4771*T1^3*T2^5 - 1384*T1^4*T2^5 - 3178*T1^5*T2^5 + 9659*T1^6*T2^5 - 
     5343*T1^7*T2^5 - 16*T1^8*T2^5 + 5288*T1^9*T2^5 - 3103*T1^10*T2^5 + 
     133*T1^11*T2^5 + 872*T1^12*T2^5 - 158*T1^13*T2^5 - 425*T2^6 - 
     520*T1*T2^6 + 2059*T1^2*T2^6 - 1867*T1^3*T2^6 - 5401*T1^4*T2^6 + 
     9659*T1^5*T2^6 - 11390*T1^6*T2^6 + 596*T1^7*T2^6 + 5638*T1^8*T2^6 - 
     6993*T1^9*T2^6 + 199*T1^10*T2^6 + 2917*T1^11*T2^6 - 1725*T1^12*T2^6 - 
     200*T1^13*T2^6 + 199*T1^14*T2^6 + 164*T2^7 + 780*T1*T2^7 - 
     1177*T1^2*T2^7 - 874*T1^3*T2^7 + 6652*T1^4*T2^7 - 5343*T1^5*T2^7 + 
     596*T1^6*T2^7 + 10343*T1^7*T2^7 - 9493*T1^8*T2^7 + 2179*T1^9*T2^7 + 
     6359*T1^10*T2^7 - 5476*T1^11*T2^7 + 500*T1^12*T2^7 + 1475*T1^13*T2^7 - 
     420*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 - 
     159*T1^2*T2^8 + 2550*T1^3*T2^8 - 4921*T1^4*T2^8 - 16*T1^5*T2^8 + 
     5638*T1^6*T2^8 - 9493*T1^7*T2^8 + 1476*T1^8*T2^8 + 7805*T1^9*T2^8 - 
     8868*T1^10*T2^8 + 1688*T1^11*T2^8 + 4235*T1^12*T2^8 - 2870*T1^13*T2^8 + 
     81*T1^14*T2^8 + 428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 
     460*T1^2*T2^9 - 1333*T1^3*T2^9 + 20*T1^4*T2^9 + 5288*T1^5*T2^9 - 
     6993*T1^6*T2^9 + 2179*T1^7*T2^9 + 7805*T1^8*T2^9 - 12031*T1^9*T2^9 + 
     3762*T1^10*T2^9 + 4709*T1^11*T2^9 - 6840*T1^12*T2^9 + 1394*T1^13*T2^9 + 
     1319*T1^14*T2^9 - 740*T1^15*T2^9 - 156*T1^16*T2^9 - 217*T1^2*T2^10 + 
     160*T1^3*T2^10 + 1467*T1^4*T2^10 - 3103*T1^5*T2^10 + 199*T1^6*T2^10 + 
     6359*T1^7*T2^10 - 8868*T1^8*T2^10 + 3762*T1^9*T2^10 + 8160*T1^10*T2^10 - 
     10293*T1^11*T2^10 + 5799*T1^12*T2^10 + 1681*T1^13*T2^10 - 
     2317*T1^14*T2^10 + 480*T1^15*T2^10 + 407*T1^16*T2^10 + 186*T1^3*T2^11 - 
     848*T1^4*T2^11 + 133*T1^5*T2^11 + 2917*T1^6*T2^11 - 5476*T1^7*T2^11 + 
     1688*T1^8*T2^11 + 4709*T1^9*T2^11 - 10293*T1^10*T2^11 + 
     4850*T1^11*T2^11 + 1196*T1^12*T2^11 - 4957*T1^13*T2^11 + 
     2017*T1^14*T2^11 + 392*T1^15*T2^11 - 674*T1^16*T2^11 - 17*T1^4*T2^12 + 
     872*T1^5*T2^12 - 1725*T1^6*T2^12 + 500*T1^7*T2^12 + 4235*T1^8*T2^12 - 
     6840*T1^9*T2^12 + 5799*T1^10*T2^12 + 1196*T1^11*T2^12 - 
     4153*T1^12*T2^12 + 3596*T1^13*T2^12 + 283*T1^14*T2^12 - 
     1488*T1^15*T2^12 + 799*T1^16*T2^12 - 158*T1^5*T2^13 - 200*T1^6*T2^13 + 
     1475*T1^7*T2^13 - 2870*T1^8*T2^13 + 1394*T1^9*T2^13 + 1681*T1^10*T2^13 - 
     4957*T1^11*T2^13 + 3596*T1^12*T2^13 - 620*T1^13*T2^13 - 
     2113*T1^14*T2^13 + 1860*T1^15*T2^13 - 674*T1^16*T2^13 + 199*T1^6*T2^14 - 
     420*T1^7*T2^14 + 81*T1^8*T2^14 + 1319*T1^9*T2^14 - 2317*T1^10*T2^14 + 
     2017*T1^11*T2^14 + 283*T1^12*T2^14 - 2113*T1^13*T2^14 + 
     2577*T1^14*T2^14 - 1460*T1^15*T2^14 + 407*T1^16*T2^14 - 116*T1^7*T2^15 + 
     428*T1^8*T2^15 - 740*T1^9*T2^15 + 480*T1^10*T2^15 + 392*T1^11*T2^15 - 
     1488*T1^12*T2^15 + 1860*T1^13*T2^15 - 1460*T1^14*T2^15 + 
     668*T1^15*T2^15 - 156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 
     407*T1^10*T2^16 - 674*T1^11*T2^16 + 799*T1^12*T2^16 - 674*T1^13*T2^16 + 
     407*T1^14*T2^16 - 156*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 524] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-33 + 247*T1 - 673*T1^2 + 901*T1^3 - 673*T1^4 + 247*T1^5 - 33*T1^6 + 
     247*T2 - 1662*T1*T2 + 3640*T1^2*T2 - 2938*T1^3*T2 - 58*T1^4*T2 + 
     1960*T1^5*T2 - 1152*T1^6*T2 + 187*T1^7*T2 - 673*T2^2 + 3640*T1*T2^2 - 
     3662*T1^2*T2^2 - 7332*T1^3*T2^2 + 17116*T1^4*T2^2 - 13892*T1^5*T2^2 + 
     2734*T1^6*T2^2 + 1180*T1^7*T2^2 - 345*T1^8*T2^2 + 901*T2^3 - 
     2938*T1*T2^3 - 7332*T1^2*T2^3 + 33359*T1^3*T2^3 - 34575*T1^4*T2^3 + 
     5985*T1^5*T2^3 + 17729*T1^6*T2^3 - 10407*T1^7*T2^3 + 782*T1^8*T2^3 + 
     241*T1^9*T2^3 - 673*T2^4 - 58*T1*T2^4 + 17116*T1^2*T2^4 - 
     34575*T1^3*T2^4 - 2455*T1^4*T2^4 + 53507*T1^5*T2^4 - 55663*T1^6*T2^4 + 
     11735*T1^7*T2^4 + 5814*T1^8*T2^4 - 1678*T1^9*T2^4 - 17*T1^10*T2^4 + 
     247*T2^5 + 1960*T1*T2^5 - 13892*T1^2*T2^5 + 5985*T1^3*T2^5 + 
     53507*T1^4*T2^5 - 81032*T1^5*T2^5 + 34678*T1^6*T2^5 + 26242*T1^7*T2^5 - 
     23075*T1^8*T2^5 + 3123*T1^9*T2^5 + 520*T1^10*T2^5 - 53*T1^11*T2^5 - 
     33*T2^6 - 1152*T1*T2^6 + 2734*T1^2*T2^6 + 17729*T1^3*T2^6 - 
     55663*T1^4*T2^6 + 34678*T1^5*T2^6 + 33624*T1^6*T2^6 - 65062*T1^7*T2^6 + 
     26939*T1^8*T2^6 + 2879*T1^9*T2^6 - 3058*T1^10*T2^6 + 288*T1^11*T2^6 + 
     15*T1^12*T2^6 + 187*T1*T2^7 + 1180*T1^2*T2^7 - 10407*T1^3*T2^7 + 
     11735*T1^4*T2^7 + 26242*T1^5*T2^7 - 65062*T1^6*T2^7 + 50648*T1^7*T2^7 - 
     1023*T1^8*T2^7 - 17325*T1^9*T2^7 + 6608*T1^10*T2^7 - 260*T1^11*T2^7 - 
     113*T1^12*T2^7 - 345*T1^2*T2^8 + 782*T1^3*T2^8 + 5814*T1^4*T2^8 - 
     23075*T1^5*T2^8 + 26939*T1^6*T2^8 - 1023*T1^7*T2^8 - 26269*T1^8*T2^8 + 
     23235*T1^9*T2^8 - 5488*T1^10*T2^8 - 838*T1^11*T2^8 + 311*T1^12*T2^8 + 
     241*T1^3*T2^9 - 1678*T1^4*T2^9 + 3123*T1^5*T2^9 + 2879*T1^6*T2^9 - 
     17325*T1^7*T2^9 + 23235*T1^8*T2^9 - 12751*T1^9*T2^9 + 48*T1^10*T2^9 + 
     2042*T1^11*T2^9 - 419*T1^12*T2^9 - 17*T1^4*T2^10 + 520*T1^5*T2^10 - 
     3058*T1^6*T2^10 + 6608*T1^7*T2^10 - 5488*T1^8*T2^10 + 48*T1^9*T2^10 + 
     3338*T1^10*T2^10 - 1940*T1^11*T2^10 + 311*T1^12*T2^10 - 53*T1^5*T2^11 + 
     288*T1^6*T2^11 - 260*T1^7*T2^11 - 838*T1^8*T2^11 + 2042*T1^9*T2^11 - 
     1940*T1^10*T2^11 + 798*T1^11*T2^11 - 113*T1^12*T2^11 + 15*T1^6*T2^12 - 
     113*T1^7*T2^12 + 311*T1^8*T2^12 - 419*T1^9*T2^12 + 311*T1^10*T2^12 - 
     113*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 525] -> 
  {-((2 - 13*T + 33*T^2 - 45*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 377*T1^2 + 513*T1^3 - 377*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1814*T1^2*T2 - 1738*T1^3*T2 + 290*T1^4*T2 + 
      618*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 377*T2^2 + 1814*T1*T2^2 - 
      2244*T1^2*T2^2 - 1076*T1^3*T2^2 + 5852*T1^4*T2^2 - 5300*T1^5*T2^2 + 
      1848*T1^6*T2^2 + 98*T1^7*T2^2 - 113*T1^8*T2^2 + 513*T2^3 - 
      1738*T1*T2^3 - 1076*T1^2*T2^3 + 9707*T1^3*T2^3 - 14775*T1^4*T2^3 + 
      6267*T1^5*T2^3 + 2663*T1^6*T2^3 - 3551*T1^7*T2^3 + 914*T1^8*T2^3 - 
      27*T1^9*T2^3 - 377*T2^4 + 290*T1*T2^4 + 5852*T1^2*T2^4 - 
      14775*T1^3*T2^4 + 10500*T1^4*T2^4 + 10004*T1^5*T2^4 - 18756*T1^6*T2^4 + 
      9615*T1^7*T2^4 - 646*T1^8*T2^4 - 802*T1^9*T2^4 + 151*T1^10*T2^4 + 
      149*T2^5 + 618*T1*T2^5 - 5300*T1^2*T2^5 + 6267*T1^3*T2^5 + 
      10004*T1^4*T2^5 - 31662*T1^5*T2^5 + 26916*T1^6*T2^5 - 2107*T1^7*T2^5 - 
      8079*T1^8*T2^5 + 4171*T1^9*T2^5 - 266*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1848*T1^2*T2^6 + 2663*T1^3*T2^6 - 
      18756*T1^4*T2^6 + 26916*T1^5*T2^6 - 6684*T1^6*T2^6 - 22136*T1^7*T2^6 + 
      19134*T1^8*T2^6 - 4423*T1^9*T2^6 - 1792*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 98*T1^2*T2^7 - 3551*T1^3*T2^7 + 
      9615*T1^4*T2^7 - 2107*T1^5*T2^7 - 22136*T1^6*T2^7 + 36442*T1^7*T2^7 - 
      14218*T1^8*T2^7 - 4731*T1^9*T2^7 + 5920*T1^10*T2^7 - 786*T1^11*T2^7 - 
      163*T1^12*T2^7 - 113*T1^2*T2^8 + 914*T1^3*T2^8 - 646*T1^4*T2^8 - 
      8079*T1^5*T2^8 + 19134*T1^6*T2^8 - 14218*T1^7*T2^8 - 10122*T1^8*T2^8 + 
      16311*T1^9*T2^8 - 7144*T1^10*T2^8 - 178*T1^11*T2^8 + 415*T1^12*T2^8 - 
      27*T1^3*T2^9 - 802*T1^4*T2^9 + 4171*T1^5*T2^9 - 4423*T1^6*T2^9 - 
      4731*T1^7*T2^9 + 16311*T1^8*T2^9 - 11467*T1^9*T2^9 + 1696*T1^10*T2^9 + 
      1850*T1^11*T2^9 - 567*T1^12*T2^9 + 151*T1^4*T2^10 - 266*T1^5*T2^10 - 
      1792*T1^6*T2^10 + 5920*T1^7*T2^10 - 7144*T1^8*T2^10 + 1696*T1^9*T2^10 + 
      2300*T1^10*T2^10 - 1982*T1^11*T2^10 + 415*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 786*T1^7*T2^11 - 178*T1^8*T2^11 + 
      1850*T1^9*T2^11 - 1982*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 415*T1^8*T2^12 - 
      567*T1^9*T2^12 + 415*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 526] -> 
  {-((2 - 10*T + 25*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 508*T1^2 + 872*T1^3 - 1033*T1^4 + 872*T1^5 - 
      508*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1716*T1^2*T2 - 
      2316*T1^3*T2 + 1664*T1^4*T2 - 216*T1^5*T2 - 956*T1^6*T2 + 
      1016*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 508*T2^2 + 1716*T1*T2^2 - 
      2557*T1^2*T2^2 + 2242*T1^3*T2^2 + 752*T1^4*T2^2 - 3259*T1^5*T2^2 + 
      3352*T1^6*T2^2 - 1058*T1^7*T2^2 - 257*T1^8*T2^2 + 716*T1^9*T2^2 - 
      308*T1^10*T2^2 + 872*T2^3 - 2316*T1*T2^3 + 2242*T1^2*T2^3 - 
      608*T1^3*T2^3 - 4162*T1^4*T2^3 + 4618*T1^5*T2^3 - 1338*T1^6*T2^3 - 
      2900*T1^7*T2^3 + 2252*T1^8*T2^3 - 1208*T1^9*T2^3 - 236*T1^10*T2^3 + 
      356*T1^11*T2^3 - 1033*T2^4 + 1664*T1*T2^4 + 752*T1^2*T2^4 - 
      4162*T1^3*T2^4 + 9685*T1^4*T2^4 - 5609*T1^5*T2^4 - 213*T1^6*T2^4 + 
      3287*T1^7*T2^4 + 1297*T1^8*T2^4 - 1926*T1^9*T2^4 + 2352*T1^10*T2^4 - 
      696*T1^11*T2^4 - 217*T1^12*T2^4 + 872*T2^5 - 216*T1*T2^5 - 
      3259*T1^2*T2^5 + 4618*T1^3*T2^5 - 5609*T1^4*T2^5 - 4917*T1^5*T2^5 + 
      8161*T1^6*T2^5 - 3899*T1^7*T2^5 - 5797*T1^8*T2^5 + 3686*T1^9*T2^5 - 
      2242*T1^10*T2^5 - 859*T1^11*T2^5 + 1024*T1^12*T2^5 + 12*T1^13*T2^5 - 
      508*T2^6 - 956*T1*T2^6 + 3352*T1^2*T2^6 - 1338*T1^3*T2^6 - 
      213*T1^4*T2^6 + 8161*T1^5*T2^6 + 92*T1^6*T2^6 - 11260*T1^7*T2^6 + 
      16532*T1^8*T2^6 - 4609*T1^9*T2^6 - 223*T1^10*T2^6 + 3262*T1^11*T2^6 - 
      1248*T1^12*T2^6 - 516*T1^13*T2^6 + 92*T1^14*T2^6 + 204*T2^7 + 
      1016*T1*T2^7 - 1058*T1^2*T2^7 - 2900*T1^3*T2^7 + 3287*T1^4*T2^7 - 
      3899*T1^5*T2^7 - 11260*T1^6*T2^7 + 17968*T1^7*T2^7 - 10944*T1^8*T2^7 - 
      6111*T1^9*T2^7 + 6741*T1^10*T2^7 - 4412*T1^11*T2^7 - 266*T1^12*T2^7 + 
      1492*T1^13*T2^7 - 84*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 257*T1^2*T2^8 + 2252*T1^3*T2^8 + 1297*T1^4*T2^8 - 
      5797*T1^5*T2^8 + 16532*T1^6*T2^8 - 10944*T1^7*T2^8 - 5004*T1^8*T2^8 + 
      16184*T1^9*T2^8 - 8002*T1^10*T2^8 + 981*T1^11*T2^8 + 2649*T1^12*T2^8 - 
      1728*T1^13*T2^8 - 457*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 716*T1^2*T2^9 - 1208*T1^3*T2^9 - 1926*T1^4*T2^9 + 
      3686*T1^5*T2^9 - 4609*T1^6*T2^9 - 6111*T1^7*T2^9 + 16184*T1^8*T2^9 - 
      12728*T1^9*T2^9 - 962*T1^10*T2^9 + 6031*T1^11*T2^9 - 4013*T1^12*T2^9 + 
      708*T1^13*T2^9 + 1342*T1^14*T2^9 - 384*T1^15*T2^9 - 116*T1^16*T2^9 - 
      308*T1^2*T2^10 - 236*T1^3*T2^10 + 2352*T1^4*T2^10 - 2242*T1^5*T2^10 - 
      223*T1^6*T2^10 + 6741*T1^7*T2^10 - 8002*T1^8*T2^10 - 962*T1^9*T2^10 + 
      8438*T1^10*T2^10 - 6029*T1^11*T2^10 - 233*T1^12*T2^10 + 
      2358*T1^13*T2^10 - 2248*T1^14*T2^10 + 204*T1^15*T2^10 + 
      292*T1^16*T2^10 + 356*T1^3*T2^11 - 696*T1^4*T2^11 - 859*T1^5*T2^11 + 
      3262*T1^6*T2^11 - 4412*T1^7*T2^11 + 981*T1^8*T2^11 + 6031*T1^9*T2^11 - 
      6029*T1^10*T2^11 + 101*T1^11*T2^11 + 4883*T1^12*T2^11 - 
      3598*T1^13*T2^11 + 1541*T1^14*T2^11 + 544*T1^15*T2^11 - 
      504*T1^16*T2^11 - 217*T1^4*T2^12 + 1024*T1^5*T2^12 - 1248*T1^6*T2^12 - 
      266*T1^7*T2^12 + 2649*T1^8*T2^12 - 4013*T1^9*T2^12 - 233*T1^10*T2^12 + 
      4883*T1^11*T2^12 - 5739*T1^12*T2^12 + 1970*T1^13*T2^12 + 
      352*T1^14*T2^12 - 1336*T1^15*T2^12 + 599*T1^16*T2^12 + 12*T1^5*T2^13 - 
      516*T1^6*T2^13 + 1492*T1^7*T2^13 - 1728*T1^8*T2^13 + 708*T1^9*T2^13 + 
      2358*T1^10*T2^13 - 3598*T1^11*T2^13 + 1970*T1^12*T2^13 + 
      1132*T1^13*T2^13 - 1958*T1^14*T2^13 + 1564*T1^15*T2^13 - 
      504*T1^16*T2^13 + 92*T1^6*T2^14 - 84*T1^7*T2^14 - 457*T1^8*T2^14 + 
      1342*T1^9*T2^14 - 2248*T1^10*T2^14 + 1541*T1^11*T2^14 + 
      352*T1^12*T2^14 - 1958*T1^13*T2^14 + 1843*T1^14*T2^14 - 
      1084*T1^15*T2^14 + 292*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      384*T1^9*T2^15 + 204*T1^10*T2^15 + 544*T1^11*T2^15 - 1336*T1^12*T2^15 + 
      1564*T1^13*T2^15 - 1084*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 292*T1^10*T2^16 - 
      504*T1^11*T2^16 + 599*T1^12*T2^16 - 504*T1^13*T2^16 + 292*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 527] -> 
  {(2 - 10*T + 25*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-49 + 244*T1 - 608*T1^2 + 946*T1^3 - 1091*T1^4 + 946*T1^5 - 
     608*T1^6 + 244*T1^7 - 49*T1^8 + 244*T2 - 1012*T1*T2 + 2016*T1^2*T2 - 
     2188*T1^3*T2 + 1504*T1^4*T2 - 176*T1^5*T2 - 908*T1^6*T2 + 1316*T1^7*T2 - 
     772*T1^8*T2 + 204*T1^9*T2 - 608*T2^2 + 2016*T1*T2^2 - 2891*T1^2*T2^2 + 
     1112*T1^3*T2^2 + 1164*T1^4*T2^2 - 3209*T1^5*T2^2 + 3164*T1^6*T2^2 - 
     1788*T1^7*T2^2 - 591*T1^8*T2^2 + 1016*T1^9*T2^2 - 408*T1^10*T2^2 + 
     946*T2^3 - 2188*T1*T2^3 + 1112*T1^2*T2^3 + 3722*T1^3*T2^3 - 
     5354*T1^4*T2^3 + 5002*T1^5*T2^3 - 1022*T1^6*T2^3 - 2224*T1^7*T2^3 + 
     4566*T1^8*T2^3 - 1738*T1^9*T2^3 - 348*T1^10*T2^3 + 478*T1^11*T2^3 - 
     1091*T2^4 + 1504*T1*T2^4 + 1164*T1^2*T2^4 - 5354*T1^3*T2^4 + 
     806*T1^4*T2^4 + 3698*T1^5*T2^4 - 9392*T1^6*T2^4 + 8858*T1^7*T2^4 - 
     6334*T1^8*T2^4 - 1454*T1^9*T2^4 + 2364*T1^10*T2^4 - 536*T1^11*T2^4 - 
     371*T1^12*T2^4 + 946*T2^5 - 176*T1*T2^5 - 3209*T1^2*T2^5 + 
     5002*T1^3*T2^5 + 3698*T1^4*T2^5 - 5965*T1^5*T2^5 + 7567*T1^6*T2^5 - 
     1583*T1^7*T2^5 - 1825*T1^8*T2^5 + 7373*T1^9*T2^5 - 1838*T1^10*T2^5 - 
     1409*T1^11*T2^5 + 1024*T1^12*T2^5 + 166*T1^13*T2^5 - 608*T2^6 - 
     908*T1*T2^6 + 3164*T1^2*T2^6 - 1022*T1^3*T2^6 - 9392*T1^4*T2^6 + 
     7567*T1^5*T2^6 - 6427*T1^6*T2^6 - 189*T1^7*T2^6 + 233*T1^8*T2^6 - 
     2303*T1^9*T2^6 - 4982*T1^10*T2^6 + 3778*T1^11*T2^6 - 436*T1^12*T2^6 - 
     788*T1^13*T2^6 - 8*T1^14*T2^6 + 244*T2^7 + 1316*T1*T2^7 - 
     1788*T1^2*T2^7 - 2224*T1^3*T2^7 + 8858*T1^4*T2^7 - 1583*T1^5*T2^7 - 
     189*T1^6*T2^7 + 3252*T1^7*T2^7 + 962*T1^8*T2^7 - 994*T1^9*T2^7 + 
     6127*T1^10*T2^7 - 757*T1^11*T2^7 - 2274*T1^12*T2^7 + 1362*T1^13*T2^7 + 
     216*T1^14*T2^7 - 36*T1^15*T2^7 - 49*T2^8 - 772*T1*T2^8 - 591*T1^2*T2^8 + 
     4566*T1^3*T2^8 - 6334*T1^4*T2^8 - 1825*T1^5*T2^8 + 233*T1^6*T2^8 + 
     962*T1^7*T2^8 - 4968*T1^8*T2^8 + 2782*T1^9*T2^8 - 3085*T1^10*T2^8 - 
     3607*T1^11*T2^8 + 3786*T1^12*T2^8 - 598*T1^13*T2^8 - 791*T1^14*T2^8 + 
     108*T1^15*T2^8 + 15*T1^16*T2^8 + 204*T1*T2^9 + 1016*T1^2*T2^9 - 
     1738*T1^3*T2^9 - 1454*T1^4*T2^9 + 7373*T1^5*T2^9 - 2303*T1^6*T2^9 - 
     994*T1^7*T2^9 + 2782*T1^8*T2^9 + 492*T1^9*T2^9 - 1799*T1^10*T2^9 + 
     5407*T1^11*T2^9 - 2242*T1^12*T2^9 - 1504*T1^13*T2^9 + 1412*T1^14*T2^9 - 
     84*T1^15*T2^9 - 76*T1^16*T2^9 - 408*T1^2*T2^10 - 348*T1^3*T2^10 + 
     2364*T1^4*T2^10 - 1838*T1^5*T2^10 - 4982*T1^6*T2^10 + 6127*T1^7*T2^10 - 
     3085*T1^8*T2^10 - 1799*T1^9*T2^10 + 3575*T1^10*T2^10 - 
     3743*T1^11*T2^10 - 572*T1^12*T2^10 + 2962*T1^13*T2^10 - 
     1236*T1^14*T2^10 - 228*T1^15*T2^10 + 192*T1^16*T2^10 + 478*T1^3*T2^11 - 
     536*T1^4*T2^11 - 1409*T1^5*T2^11 + 3778*T1^6*T2^11 - 757*T1^7*T2^11 - 
     3607*T1^8*T2^11 + 5407*T1^9*T2^11 - 3743*T1^10*T2^11 + 533*T1^11*T2^11 + 
     2918*T1^12*T2^11 - 3062*T1^13*T2^11 + 391*T1^14*T2^11 + 
     664*T1^15*T2^11 - 302*T1^16*T2^11 - 371*T1^4*T2^12 + 1024*T1^5*T2^12 - 
     436*T1^6*T2^12 - 2274*T1^7*T2^12 + 3786*T1^8*T2^12 - 2242*T1^9*T2^12 - 
     572*T1^10*T2^12 + 2918*T1^11*T2^12 - 3354*T1^12*T2^12 + 
     1626*T1^13*T2^12 + 764*T1^14*T2^12 - 1016*T1^15*T2^12 + 
     349*T1^16*T2^12 + 166*T1^5*T2^13 - 788*T1^6*T2^13 + 1362*T1^7*T2^13 - 
     598*T1^8*T2^13 - 1504*T1^9*T2^13 + 2962*T1^10*T2^13 - 3062*T1^11*T2^13 + 
     1626*T1^12*T2^13 + 246*T1^13*T2^13 - 1488*T1^14*T2^13 + 
     1052*T1^15*T2^13 - 302*T1^16*T2^13 - 8*T1^6*T2^14 + 216*T1^7*T2^14 - 
     791*T1^8*T2^14 + 1412*T1^9*T2^14 - 1236*T1^10*T2^14 + 391*T1^11*T2^14 + 
     764*T1^12*T2^14 - 1488*T1^13*T2^14 + 1509*T1^14*T2^14 - 
     784*T1^15*T2^14 + 192*T1^16*T2^14 - 36*T1^7*T2^15 + 108*T1^8*T2^15 - 
     84*T1^9*T2^15 - 228*T1^10*T2^15 + 664*T1^11*T2^15 - 1016*T1^12*T2^15 + 
     1052*T1^13*T2^15 - 784*T1^14*T2^15 + 348*T1^15*T2^15 - 76*T1^16*T2^15 + 
     15*T1^8*T2^16 - 76*T1^9*T2^16 + 192*T1^10*T2^16 - 302*T1^11*T2^16 + 
     349*T1^12*T2^16 - 302*T1^13*T2^16 + 192*T1^14*T2^16 - 76*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 528] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4), 
   -((-3 + 21*T1 - 63*T1^2 + 117*T1^3 - 141*T1^4 + 117*T1^5 - 63*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 343*T1^2*T2 - 525*T1^3*T2 + 
      441*T1^4*T2 - 161*T1^5*T2 - 105*T1^6*T2 + 147*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 63*T2^2 + 343*T1*T2^2 - 652*T1^2*T2^2 + 524*T1^3*T2^2 + 
      464*T1^4*T2^2 - 1382*T1^5*T2^2 + 1556*T1^6*T2^2 - 820*T1^7*T2^2 + 
      188*T1^8*T2^2 + 49*T1^9*T2^2 - 21*T1^10*T2^2 + 117*T2^3 - 525*T1*T2^3 + 
      524*T1^2*T2^3 + 630*T1^3*T2^3 - 2938*T1^4*T2^3 + 3534*T1^5*T2^3 - 
      2088*T1^6*T2^3 - 436*T1^7*T2^3 + 1194*T1^8*T2^3 - 757*T1^9*T2^3 + 
      147*T1^10*T2^3 - 141*T2^4 + 441*T1*T2^4 + 464*T1^2*T2^4 - 
      2938*T1^3*T2^4 + 5571*T1^4*T2^4 - 3467*T1^5*T2^4 - 1069*T1^6*T2^4 + 
      4713*T1^7*T2^4 - 3253*T1^8*T2^4 + 650*T1^9*T2^4 + 590*T1^10*T2^4 - 
      329*T1^11*T2^4 + 47*T1^12*T2^4 + 117*T2^5 - 161*T1*T2^5 - 
      1382*T1^2*T2^5 + 3534*T1^3*T2^5 - 3467*T1^4*T2^5 - 3097*T1^5*T2^5 + 
      8573*T1^6*T2^5 - 8101*T1^7*T2^5 + 545*T1^8*T2^5 + 3916*T1^9*T2^5 - 
      3036*T1^10*T2^5 + 613*T1^11*T2^5 + 217*T1^12*T2^5 - 78*T1^13*T2^5 - 
      63*T2^6 - 105*T1*T2^6 + 1556*T1^2*T2^6 - 2088*T1^3*T2^6 - 
      1069*T1^4*T2^6 + 8573*T1^5*T2^6 - 9122*T1^6*T2^6 + 602*T1^7*T2^6 + 
      9778*T1^8*T2^6 - 9277*T1^9*T2^6 + 1745*T1^10*T2^6 + 2112*T1^11*T2^6 - 
      1468*T1^12*T2^6 + 105*T1^13*T2^6 + 63*T1^14*T2^6 + 21*T2^7 + 
      147*T1*T2^7 - 820*T1^2*T2^7 - 436*T1^3*T2^7 + 4713*T1^4*T2^7 - 
      8101*T1^5*T2^7 + 602*T1^6*T2^7 + 13188*T1^7*T2^7 - 17218*T1^8*T2^7 + 
      6275*T1^9*T2^7 + 6221*T1^10*T2^7 - 5858*T1^11*T2^7 + 1406*T1^12*T2^7 + 
      839*T1^13*T2^7 - 245*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      188*T1^2*T2^8 + 1194*T1^3*T2^8 - 3253*T1^4*T2^8 + 545*T1^5*T2^8 + 
      9778*T1^6*T2^8 - 17218*T1^7*T2^8 + 6036*T1^8*T2^8 + 11250*T1^9*T2^8 - 
      17720*T1^10*T2^8 + 6095*T1^11*T2^8 + 1407*T1^12*T2^8 - 
      2250*T1^13*T2^8 + 62*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 49*T1^2*T2^9 - 757*T1^3*T2^9 + 650*T1^4*T2^9 + 
      3916*T1^5*T2^9 - 9277*T1^6*T2^9 + 6275*T1^7*T2^9 + 11250*T1^8*T2^9 - 
      19156*T1^9*T2^9 + 11948*T1^10*T2^9 + 5045*T1^11*T2^9 - 
      6655*T1^12*T2^9 + 2492*T1^13*T2^9 + 902*T1^14*T2^9 - 343*T1^15*T2^9 - 
      35*T1^16*T2^9 - 21*T1^2*T2^10 + 147*T1^3*T2^10 + 590*T1^4*T2^10 - 
      3036*T1^5*T2^10 + 1745*T1^6*T2^10 + 6221*T1^7*T2^10 - 
      17720*T1^8*T2^10 + 11948*T1^9*T2^10 + 1180*T1^10*T2^10 - 
      11629*T1^11*T2^10 + 4559*T1^12*T2^10 + 1164*T1^13*T2^10 - 
      2434*T1^14*T2^10 + 357*T1^15*T2^10 + 105*T1^16*T2^10 - 329*T1^4*T2^11 + 
      613*T1^5*T2^11 + 2112*T1^6*T2^11 - 5858*T1^7*T2^11 + 6095*T1^8*T2^11 + 
      5045*T1^9*T2^11 - 11629*T1^10*T2^11 + 9737*T1^11*T2^11 + 
      1525*T1^12*T2^11 - 4458*T1^13*T2^11 + 2608*T1^14*T2^11 + 
      49*T1^15*T2^11 - 195*T1^16*T2^11 + 47*T1^4*T2^12 + 217*T1^5*T2^12 - 
      1468*T1^6*T2^12 + 1406*T1^7*T2^12 + 1407*T1^8*T2^12 - 6655*T1^9*T2^12 + 
      4559*T1^10*T2^12 + 1525*T1^11*T2^12 - 7417*T1^12*T2^12 + 
      4994*T1^13*T2^12 - 1342*T1^14*T2^12 - 553*T1^15*T2^12 + 
      235*T1^16*T2^12 - 78*T1^5*T2^13 + 105*T1^6*T2^13 + 839*T1^7*T2^13 - 
      2250*T1^8*T2^13 + 2492*T1^9*T2^13 + 1164*T1^10*T2^13 - 
      4458*T1^11*T2^13 + 4994*T1^12*T2^13 - 1686*T1^13*T2^13 - 
      442*T1^14*T2^13 + 777*T1^15*T2^13 - 195*T1^16*T2^13 + 63*T1^6*T2^14 - 
      245*T1^7*T2^14 + 62*T1^8*T2^14 + 902*T1^9*T2^14 - 2434*T1^10*T2^14 + 
      2608*T1^11*T2^14 - 1342*T1^12*T2^14 - 442*T1^13*T2^14 + 
      902*T1^14*T2^14 - 539*T1^15*T2^14 + 105*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 343*T1^9*T2^15 + 357*T1^10*T2^15 + 49*T1^11*T2^15 - 
      553*T1^12*T2^15 + 777*T1^13*T2^15 - 539*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 105*T1^10*T2^16 - 
      195*T1^11*T2^16 + 235*T1^12*T2^16 - 195*T1^13*T2^16 + 105*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 529] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((-23 + 173*T1 - 519*T1^2 + 749*T1^3 - 519*T1^4 + 173*T1^5 - 23*T1^6 + 
      173*T2 - 1188*T1*T2 + 3052*T1^2*T2 - 3080*T1^3*T2 + 220*T1^4*T2 + 
      1252*T1^5*T2 - 678*T1^6*T2 + 113*T1^7*T2 - 519*T2^2 + 3052*T1*T2^2 - 
      5467*T1^2*T2^2 - 1069*T1^3*T2^2 + 12317*T1^4*T2^2 - 10069*T1^5*T2^2 + 
      2273*T1^6*T2^2 + 352*T1^7*T2^2 - 159*T1^8*T2^2 + 749*T2^3 - 
      3080*T1*T2^3 - 1069*T1^2*T2^3 + 23861*T1^3*T2^3 - 38513*T1^4*T2^3 + 
      12337*T1^5*T2^3 + 9491*T1^6*T2^3 - 7144*T1^7*T2^3 + 1420*T1^8*T2^3 - 
      31*T1^9*T2^3 - 519*T2^4 + 220*T1*T2^4 + 12317*T1^2*T2^4 - 
      38513*T1^3*T2^4 + 25980*T1^4*T2^4 + 39342*T1^5*T2^4 - 56040*T1^6*T2^4 + 
      21937*T1^7*T2^4 - 733*T1^8*T2^4 - 1280*T1^9*T2^4 + 201*T1^10*T2^4 + 
      173*T2^5 + 1252*T1*T2^5 - 10069*T1^2*T2^5 + 12337*T1^3*T2^5 + 
      39342*T1^4*T2^5 - 113814*T1^5*T2^5 + 88986*T1^6*T2^5 - 7233*T1^7*T2^5 - 
      19313*T1^8*T2^5 + 7706*T1^9*T2^5 - 548*T1^10*T2^5 - 127*T1^11*T2^5 - 
      23*T2^6 - 678*T1*T2^6 + 2273*T1^2*T2^6 + 9491*T1^3*T2^6 - 
      56040*T1^4*T2^6 + 88986*T1^5*T2^6 - 18804*T1^6*T2^6 - 75174*T1^7*T2^6 + 
      60690*T1^8*T2^6 - 12319*T1^9*T2^6 - 2047*T1^10*T2^6 + 762*T1^11*T2^6 + 
      25*T1^12*T2^6 + 113*T1*T2^7 + 352*T1^2*T2^7 - 7144*T1^3*T2^7 + 
      21937*T1^4*T2^7 - 7233*T1^5*T2^7 - 75174*T1^6*T2^7 + 127626*T1^7*T2^7 - 
      53808*T1^8*T2^7 - 9713*T1^9*T2^7 + 10631*T1^10*T2^7 - 1448*T1^11*T2^7 - 
      187*T1^12*T2^7 - 159*T1^2*T2^8 + 1420*T1^3*T2^8 - 733*T1^4*T2^8 - 
      19313*T1^5*T2^8 + 60690*T1^6*T2^8 - 53808*T1^7*T2^8 - 21330*T1^8*T2^8 + 
      41137*T1^9*T2^8 - 13783*T1^10*T2^8 - 80*T1^11*T2^8 + 561*T1^12*T2^8 - 
      31*T1^3*T2^9 - 1280*T1^4*T2^9 + 7706*T1^5*T2^9 - 12319*T1^6*T2^9 - 
      9713*T1^7*T2^9 + 41137*T1^8*T2^9 - 26689*T1^9*T2^9 + 1631*T1^10*T2^9 + 
      3220*T1^11*T2^9 - 811*T1^12*T2^9 + 201*T1^4*T2^10 - 548*T1^5*T2^10 - 
      2047*T1^6*T2^10 + 10631*T1^7*T2^10 - 13783*T1^8*T2^10 + 
      1631*T1^9*T2^10 + 5693*T1^10*T2^10 - 3248*T1^11*T2^10 + 
      561*T1^12*T2^10 - 127*T1^5*T2^11 + 762*T1^6*T2^11 - 1448*T1^7*T2^11 - 
      80*T1^8*T2^11 + 3220*T1^9*T2^11 - 3248*T1^10*T2^11 + 1272*T1^11*T2^11 - 
      187*T1^12*T2^11 + 25*T1^6*T2^12 - 187*T1^7*T2^12 + 561*T1^8*T2^12 - 
      811*T1^9*T2^12 + 561*T1^10*T2^12 - 187*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 530] -> 
  {-((3 - 19*T + 51*T^2 - 71*T^3 + 51*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((-84 + 533*T1 - 1437*T1^2 + 2006*T1^3 - 1437*T1^4 + 533*T1^5 - 84*T1^6 + 
      533*T2 - 3021*T1*T2 + 6821*T1^2*T2 - 6518*T1^3*T2 + 436*T1^4*T2 + 
      2831*T1^5*T2 - 1767*T1^6*T2 + 362*T1^7*T2 - 1437*T2^2 + 6821*T1*T2^2 - 
      10522*T1^2*T2^2 - 1738*T1^3*T2^2 + 21430*T1^4*T2^2 - 17650*T1^5*T2^2 + 
      4166*T1^6*T2^2 + 1007*T1^7*T2^2 - 519*T1^8*T2^2 + 2006*T2^3 - 
      6518*T1*T2^3 - 1738*T1^2*T2^3 + 37426*T1^3*T2^3 - 57854*T1^4*T2^3 + 
      15634*T1^5*T2^3 + 16882*T1^6*T2^3 - 13009*T1^7*T2^3 + 2716*T1^8*T2^3 + 
      89*T1^9*T2^3 - 1437*T2^4 + 436*T1*T2^4 + 21430*T1^2*T2^4 - 
      57854*T1^3*T2^4 + 33098*T1^4*T2^4 + 62904*T1^5*T2^4 - 77822*T1^6*T2^4 + 
      28198*T1^7*T2^4 + 1380*T1^8*T2^4 - 3098*T1^9*T2^4 + 399*T1^10*T2^4 + 
      533*T2^5 + 2831*T1*T2^5 - 17650*T1^2*T2^5 + 15634*T1^3*T2^5 + 
      62904*T1^4*T2^5 - 152801*T1^5*T2^5 + 91741*T1^6*T2^5 + 
      10017*T1^7*T2^5 - 32726*T1^8*T2^5 + 12185*T1^9*T2^5 - 475*T1^10*T2^5 - 
      322*T1^11*T2^5 - 84*T2^6 - 1767*T1*T2^6 + 4166*T1^2*T2^6 + 
      16882*T1^3*T2^6 - 77822*T1^4*T2^6 + 91741*T1^5*T2^6 + 24864*T1^6*T2^6 - 
      110477*T1^7*T2^6 + 72104*T1^8*T2^6 - 12146*T1^9*T2^6 - 
      4910*T1^10*T2^6 + 1539*T1^11*T2^6 + 78*T1^12*T2^6 + 362*T1*T2^7 + 
      1007*T1^2*T2^7 - 13009*T1^3*T2^7 + 28198*T1^4*T2^7 + 10017*T1^5*T2^7 - 
      110477*T1^6*T2^7 + 134065*T1^7*T2^7 - 42870*T1^8*T2^7 - 
      20162*T1^9*T2^7 + 16826*T1^10*T2^7 - 2299*T1^11*T2^7 - 493*T1^12*T2^7 - 
      519*T1^2*T2^8 + 2716*T1^3*T2^8 + 1380*T1^4*T2^8 - 32726*T1^5*T2^8 + 
      72104*T1^6*T2^8 - 42870*T1^7*T2^8 - 38816*T1^8*T2^8 + 53326*T1^9*T2^8 - 
      18670*T1^10*T2^8 - 818*T1^11*T2^8 + 1317*T1^12*T2^8 + 89*T1^3*T2^9 - 
      3098*T1^4*T2^9 + 12185*T1^5*T2^9 - 12146*T1^6*T2^9 - 20162*T1^7*T2^9 + 
      53326*T1^8*T2^9 - 32690*T1^9*T2^9 + 914*T1^10*T2^9 + 6136*T1^11*T2^9 - 
      1828*T1^12*T2^9 + 399*T1^4*T2^10 - 475*T1^5*T2^10 - 4910*T1^6*T2^10 + 
      16826*T1^7*T2^10 - 18670*T1^8*T2^10 + 914*T1^9*T2^10 + 
      9778*T1^10*T2^10 - 6289*T1^11*T2^10 + 1317*T1^12*T2^10 - 
      322*T1^5*T2^11 + 1539*T1^6*T2^11 - 2299*T1^7*T2^11 - 818*T1^8*T2^11 + 
      6136*T1^9*T2^11 - 6289*T1^10*T2^11 + 2793*T1^11*T2^11 - 
      493*T1^12*T2^11 + 78*T1^6*T2^12 - 493*T1^7*T2^12 + 1317*T1^8*T2^12 - 
      1828*T1^9*T2^12 + 1317*T1^10*T2^12 - 493*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 531] -> 
  {-((2 - 8*T + 18*T^2 - 30*T^3 + 35*T^4 - 30*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-41 + 163*T1 - 366*T1^2 + 610*T1^3 - 711*T1^4 + 610*T1^5 - 
      366*T1^6 + 163*T1^7 - 41*T1^8 + 163*T2 - 518*T1*T2 + 937*T1^2*T2 - 
      1260*T1^3*T2 + 883*T1^4*T2 - 157*T1^5*T2 - 492*T1^6*T2 + 521*T1^7*T2 - 
      358*T1^8*T2 + 131*T1^9*T2 - 366*T2^2 + 937*T1*T2^2 - 1420*T1^2*T2^2 + 
      1671*T1^3*T2^2 - 558*T1^4*T2^2 - 326*T1^5*T2^2 + 666*T1^6*T2^2 + 
      87*T1^7*T2^2 - 268*T1^8*T2^2 + 361*T1^9*T2^2 - 222*T1^10*T2^2 + 
      610*T2^3 - 1260*T1*T2^3 + 1671*T1^2*T2^3 - 1866*T1^3*T2^3 + 
      13*T1^4*T2^3 + 369*T1^5*T2^3 - 351*T1^6*T2^3 - 815*T1^7*T2^3 + 
      150*T1^8*T2^3 - 129*T1^9*T2^3 - 108*T1^10*T2^3 + 250*T1^11*T2^3 - 
      711*T2^4 + 883*T1*T2^4 - 558*T1^2*T2^4 + 13*T1^3*T2^4 + 
      2851*T1^4*T2^4 - 2067*T1^5*T2^4 + 1625*T1^6*T2^4 - 67*T1^7*T2^4 + 
      1531*T1^8*T2^4 - 707*T1^9*T2^4 + 642*T1^10*T2^4 - 397*T1^11*T2^4 - 
      151*T1^12*T2^4 + 610*T2^5 - 157*T1*T2^5 - 326*T1^2*T2^5 + 
      369*T1^3*T2^5 - 2067*T1^4*T2^5 - 1274*T1^5*T2^5 + 1222*T1^6*T2^5 - 
      1358*T1^7*T2^5 - 1874*T1^8*T2^5 + 273*T1^9*T2^5 - 351*T1^10*T2^5 - 
      86*T1^11*T2^5 + 563*T1^12*T2^5 + 10*T1^13*T2^5 - 366*T2^6 - 
      492*T1*T2^6 + 666*T1^2*T2^6 - 351*T1^3*T2^6 + 1625*T1^4*T2^6 + 
      1222*T1^5*T2^6 + 2183*T1^6*T2^6 - 3775*T1^7*T2^6 + 5939*T1^8*T2^6 - 
      1298*T1^9*T2^6 + 545*T1^10*T2^6 + 369*T1^11*T2^6 - 606*T1^12*T2^6 - 
      300*T1^13*T2^6 + 66*T1^14*T2^6 + 163*T2^7 + 521*T1*T2^7 + 
      87*T1^2*T2^7 - 815*T1^3*T2^7 - 67*T1^4*T2^7 - 1358*T1^5*T2^7 - 
      3775*T1^6*T2^7 + 4450*T1^7*T2^7 - 3640*T1^8*T2^7 - 2011*T1^9*T2^7 + 
      1342*T1^10*T2^7 - 1047*T1^11*T2^7 + 445*T1^12*T2^7 + 591*T1^13*T2^7 - 
      23*T1^14*T2^7 - 61*T1^15*T2^7 - 41*T2^8 - 358*T1*T2^8 - 268*T1^2*T2^8 + 
      150*T1^3*T2^8 + 1531*T1^4*T2^8 - 1874*T1^5*T2^8 + 5939*T1^6*T2^8 - 
      3640*T1^7*T2^8 - 132*T1^8*T2^8 + 4336*T1^9*T2^8 - 1837*T1^10*T2^8 + 
      526*T1^11*T2^8 + 59*T1^12*T2^8 - 666*T1^13*T2^8 - 172*T1^14*T2^8 + 
      154*T1^15*T2^8 + 23*T1^16*T2^8 + 131*T1*T2^9 + 361*T1^2*T2^9 - 
      129*T1^3*T2^9 - 707*T1^4*T2^9 + 273*T1^5*T2^9 - 1298*T1^6*T2^9 - 
      2011*T1^7*T2^9 + 4336*T1^8*T2^9 - 3754*T1^9*T2^9 - 247*T1^10*T2^9 + 
      1402*T1^11*T2^9 - 707*T1^12*T2^9 + 553*T1^13*T2^9 + 375*T1^14*T2^9 - 
      183*T1^15*T2^9 - 93*T1^16*T2^9 - 222*T1^2*T2^10 - 108*T1^3*T2^10 + 
      642*T1^4*T2^10 - 351*T1^5*T2^10 + 545*T1^6*T2^10 + 1342*T1^7*T2^10 - 
      1837*T1^8*T2^10 - 247*T1^9*T2^10 + 1919*T1^10*T2^10 - 
      1178*T1^11*T2^10 - 535*T1^12*T2^10 + 369*T1^13*T2^10 - 
      630*T1^14*T2^10 + 84*T1^15*T2^10 + 210*T1^16*T2^10 + 250*T1^3*T2^11 - 
      397*T1^4*T2^11 - 86*T1^5*T2^11 + 369*T1^6*T2^11 - 1047*T1^7*T2^11 + 
      526*T1^8*T2^11 + 1402*T1^9*T2^11 - 1178*T1^10*T2^11 - 74*T1^11*T2^11 + 
      1293*T1^12*T2^11 - 351*T1^13*T2^11 + 154*T1^14*T2^11 + 
      323*T1^15*T2^11 - 350*T1^16*T2^11 - 151*T1^4*T2^12 + 563*T1^5*T2^12 - 
      606*T1^6*T2^12 + 445*T1^7*T2^12 + 59*T1^8*T2^12 - 707*T1^9*T2^12 - 
      535*T1^10*T2^12 + 1293*T1^11*T2^12 - 1261*T1^12*T2^12 - 
      275*T1^13*T2^12 + 594*T1^14*T2^12 - 717*T1^15*T2^12 + 409*T1^16*T2^12 + 
      10*T1^5*T2^13 - 300*T1^6*T2^13 + 591*T1^7*T2^13 - 666*T1^8*T2^13 + 
      553*T1^9*T2^13 + 369*T1^10*T2^13 - 351*T1^11*T2^13 - 275*T1^12*T2^13 + 
      1350*T1^13*T2^13 - 1209*T1^14*T2^13 + 852*T1^15*T2^13 - 
      350*T1^16*T2^13 + 66*T1^6*T2^14 - 23*T1^7*T2^14 - 172*T1^8*T2^14 + 
      375*T1^9*T2^14 - 630*T1^10*T2^14 + 154*T1^11*T2^14 + 594*T1^12*T2^14 - 
      1209*T1^13*T2^14 + 980*T1^14*T2^14 - 599*T1^15*T2^14 + 
      210*T1^16*T2^14 - 61*T1^7*T2^15 + 154*T1^8*T2^15 - 183*T1^9*T2^15 + 
      84*T1^10*T2^15 + 323*T1^11*T2^15 - 717*T1^12*T2^15 + 852*T1^13*T2^15 - 
      599*T1^14*T2^15 + 314*T1^15*T2^15 - 93*T1^16*T2^15 + 23*T1^8*T2^16 - 
      93*T1^9*T2^16 + 210*T1^10*T2^16 - 350*T1^11*T2^16 + 409*T1^12*T2^16 - 
      350*T1^13*T2^16 + 210*T1^14*T2^16 - 93*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 532] -> 
  {-((4 - 15*T + 27*T^2 - 33*T^3 + 27*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((-208 + 776*T1 - 1396*T1^2 + 1712*T1^3 - 1396*T1^4 + 776*T1^5 - 
      208*T1^6 + 776*T2 - 2364*T1*T2 + 3220*T1^2*T2 - 2800*T1^3*T2 + 
      800*T1^4*T2 + 700*T1^5*T2 - 1224*T1^6*T2 + 536*T1^7*T2 - 1396*T2^2 + 
      3220*T1*T2^2 - 2499*T1^2*T2^2 + 229*T1^3*T2^2 + 3279*T1^4*T2^2 - 
      3659*T1^5*T2^2 + 2469*T1^6*T2^2 - 20*T1^7*T2^2 - 532*T1^8*T2^2 + 
      1712*T2^3 - 2800*T1*T2^3 + 229*T1^2*T2^3 + 2281*T1^3*T2^3 - 
      5039*T1^4*T2^3 + 2629*T1^5*T2^3 - 77*T1^6*T2^3 - 2768*T1^7*T2^3 + 
      1520*T1^8*T2^3 + 128*T1^9*T2^3 - 1396*T2^4 + 800*T1*T2^4 + 
      3279*T1^2*T2^4 - 5039*T1^3*T2^4 + 6285*T1^4*T2^4 - 1375*T1^5*T2^4 - 
      1599*T1^6*T2^4 + 3475*T1^7*T2^4 + 93*T1^8*T2^4 - 1720*T1^9*T2^4 + 
      332*T1^10*T2^4 + 776*T2^5 + 700*T1*T2^5 - 3659*T1^2*T2^5 + 
      2629*T1^3*T2^5 - 1375*T1^4*T2^5 - 3978*T1^5*T2^5 + 4152*T1^6*T2^5 - 
      1942*T1^7*T2^5 - 3347*T1^8*T2^5 + 2902*T1^9*T2^5 + 340*T1^10*T2^5 - 
      424*T1^11*T2^5 - 208*T2^6 - 1224*T1*T2^6 + 2469*T1^2*T2^6 - 
      77*T1^3*T2^6 - 1599*T1^4*T2^6 + 4152*T1^5*T2^6 - 1032*T1^6*T2^6 - 
      2832*T1^7*T2^6 + 4827*T1^8*T2^6 - 815*T1^9*T2^6 - 2607*T1^10*T2^6 + 
      936*T1^11*T2^6 + 176*T1^12*T2^6 + 536*T1*T2^7 - 20*T1^2*T2^7 - 
      2768*T1^3*T2^7 + 3475*T1^4*T2^7 - 1942*T1^5*T2^7 - 2832*T1^6*T2^7 + 
      5298*T1^7*T2^7 - 2509*T1^8*T2^7 - 2501*T1^9*T2^7 + 3793*T1^10*T2^7 - 
      380*T1^11*T2^7 - 664*T1^12*T2^7 - 532*T1^2*T2^8 + 1520*T1^3*T2^8 + 
      93*T1^4*T2^8 - 3347*T1^5*T2^8 + 4827*T1^6*T2^8 - 2509*T1^7*T2^8 - 
      3057*T1^8*T2^8 + 5167*T1^9*T2^8 - 3093*T1^10*T2^8 - 1000*T1^11*T2^8 + 
      1196*T1^12*T2^8 + 128*T1^3*T2^9 - 1720*T1^4*T2^9 + 2902*T1^5*T2^9 - 
      815*T1^6*T2^9 - 2501*T1^7*T2^9 + 5167*T1^8*T2^9 - 3173*T1^9*T2^9 - 
      95*T1^10*T2^9 + 2600*T1^11*T2^9 - 1456*T1^12*T2^9 + 332*T1^4*T2^10 + 
      340*T1^5*T2^10 - 2607*T1^6*T2^10 + 3793*T1^7*T2^10 - 3093*T1^8*T2^10 - 
      95*T1^9*T2^10 + 2361*T1^10*T2^10 - 2900*T1^11*T2^10 + 
      1196*T1^12*T2^10 - 424*T1^5*T2^11 + 936*T1^6*T2^11 - 380*T1^7*T2^11 - 
      1000*T1^8*T2^11 + 2600*T1^9*T2^11 - 2900*T1^10*T2^11 + 
      2076*T1^11*T2^11 - 664*T1^12*T2^11 + 176*T1^6*T2^12 - 664*T1^7*T2^12 + 
      1196*T1^8*T2^12 - 1456*T1^9*T2^12 + 1196*T1^10*T2^12 - 
      664*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 533] -> 
  {(2 - 8*T + 18*T^2 - 26*T^3 + 29*T^4 - 26*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 139*T1^2 + 203*T1^3 - 227*T1^4 + 203*T1^5 - 
     139*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 442*T1^2*T2 - 
     544*T1^3*T2 + 512*T1^4*T2 - 368*T1^5*T2 + 160*T1^6*T2 + 26*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 139*T2^2 + 442*T1*T2^2 - 788*T1^2*T2^2 + 
     762*T1^3*T2^2 - 498*T1^4*T2^2 + 106*T1^5*T2^2 + 294*T1^6*T2^2 - 
     534*T1^7*T2^2 + 364*T1^8*T2^2 - 134*T1^9*T2^2 + 5*T1^10*T2^2 + 
     203*T2^3 - 544*T1*T2^3 + 762*T1^2*T2^3 - 348*T1^3*T2^3 - 152*T1^4*T2^3 + 
     468*T1^5*T2^3 - 588*T1^6*T2^3 + 412*T1^7*T2^3 + 276*T1^8*T2^3 - 
     606*T1^9*T2^3 + 416*T1^10*T2^3 - 109*T1^11*T2^3 - 227*T2^4 + 
     512*T1*T2^4 - 498*T1^2*T2^4 - 152*T1^3*T2^4 + 515*T1^4*T2^4 - 
     351*T1^5*T2^4 + 225*T1^6*T2^4 + 49*T1^7*T2^4 - 709*T1^8*T2^4 + 
     472*T1^9*T2^4 + 350*T1^10*T2^4 - 512*T1^11*T2^4 + 237*T1^12*T2^4 + 
     203*T2^5 - 368*T1*T2^5 + 106*T1^2*T2^5 + 468*T1^3*T2^5 - 351*T1^4*T2^5 - 
     548*T1^5*T2^5 + 754*T1^6*T2^5 - 1122*T1^7*T2^5 + 1572*T1^8*T2^5 - 
     571*T1^9*T2^5 - 620*T1^10*T2^5 + 58*T1^11*T2^5 + 320*T1^12*T2^5 - 
     317*T1^13*T2^5 - 139*T2^6 + 160*T1*T2^6 + 294*T1^2*T2^6 - 
     588*T1^3*T2^6 + 225*T1^4*T2^6 + 754*T1^5*T2^6 - 117*T1^6*T2^6 + 
     251*T1^7*T2^6 - 153*T1^8*T2^6 - 1190*T1^9*T2^6 + 1561*T1^10*T2^6 + 
     420*T1^11*T2^6 - 386*T1^12*T2^6 + 96*T1^13*T2^6 + 293*T1^14*T2^6 + 
     61*T2^7 + 26*T1*T2^7 - 534*T1^2*T2^7 + 412*T1^3*T2^7 + 49*T1^4*T2^7 - 
     1122*T1^5*T2^7 + 251*T1^6*T2^7 - 1360*T1^7*T2^7 + 1346*T1^8*T2^7 - 
     377*T1^9*T2^7 + 618*T1^10*T2^7 - 2211*T1^11*T2^7 + 88*T1^12*T2^7 + 
     402*T1^13*T2^7 - 518*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 364*T1^2*T2^8 + 276*T1^3*T2^8 - 709*T1^4*T2^8 + 
     1572*T1^5*T2^8 - 153*T1^6*T2^8 + 1346*T1^7*T2^8 - 36*T1^8*T2^8 - 
     1222*T1^9*T2^8 + 1095*T1^10*T2^8 - 188*T1^11*T2^8 + 2747*T1^12*T2^8 - 
     1308*T1^13*T2^8 + 460*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 134*T1^2*T2^9 - 606*T1^3*T2^9 + 472*T1^4*T2^9 - 
     571*T1^5*T2^9 - 1190*T1^6*T2^9 - 377*T1^7*T2^9 - 1222*T1^8*T2^9 + 
     1484*T1^9*T2^9 - 1005*T1^10*T2^9 + 550*T1^11*T2^9 - 2831*T1^12*T2^9 + 
     148*T1^13*T2^9 + 330*T1^14*T2^9 - 678*T1^15*T2^9 - 195*T1^16*T2^9 + 
     5*T1^2*T2^10 + 416*T1^3*T2^10 + 350*T1^4*T2^10 - 620*T1^5*T2^10 + 
     1561*T1^6*T2^10 + 618*T1^7*T2^10 + 1095*T1^8*T2^10 - 1005*T1^9*T2^10 + 
     1059*T1^10*T2^10 - 1326*T1^11*T2^10 + 2897*T1^12*T2^10 + 
     388*T1^13*T2^10 - 330*T1^14*T2^10 + 352*T1^15*T2^10 + 437*T1^16*T2^10 - 
     109*T1^3*T2^11 - 512*T1^4*T2^11 + 58*T1^5*T2^11 + 420*T1^6*T2^11 - 
     2211*T1^7*T2^11 - 188*T1^8*T2^11 + 550*T1^9*T2^11 - 1326*T1^10*T2^11 + 
     1932*T1^11*T2^11 - 2431*T1^12*T2^11 - 668*T1^13*T2^11 + 10*T1^14*T2^11 + 
     176*T1^15*T2^11 - 629*T1^16*T2^11 + 237*T1^4*T2^12 + 320*T1^5*T2^12 - 
     386*T1^6*T2^12 + 88*T1^7*T2^12 + 2747*T1^8*T2^12 - 2831*T1^9*T2^12 + 
     2897*T1^10*T2^12 - 2431*T1^11*T2^12 + 1523*T1^12*T2^12 + 
     712*T1^13*T2^12 + 462*T1^14*T2^12 - 704*T1^15*T2^12 + 701*T1^16*T2^12 - 
     317*T1^5*T2^13 + 96*T1^6*T2^13 + 402*T1^7*T2^13 - 1308*T1^8*T2^13 + 
     148*T1^9*T2^13 + 388*T1^10*T2^13 - 668*T1^11*T2^13 + 712*T1^12*T2^13 - 
     684*T1^13*T2^13 - 966*T1^14*T2^13 + 1056*T1^15*T2^13 - 629*T1^16*T2^13 + 
     293*T1^6*T2^14 - 518*T1^7*T2^14 + 460*T1^8*T2^14 + 330*T1^9*T2^14 - 
     330*T1^10*T2^14 + 10*T1^11*T2^14 + 462*T1^12*T2^14 - 966*T1^13*T2^14 + 
     1612*T1^14*T2^14 - 1094*T1^15*T2^14 + 437*T1^16*T2^14 - 163*T1^7*T2^15 + 
     454*T1^8*T2^15 - 678*T1^9*T2^15 + 352*T1^10*T2^15 + 176*T1^11*T2^15 - 
     704*T1^12*T2^15 + 1056*T1^13*T2^15 - 1094*T1^14*T2^15 + 
     614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 
     437*T1^10*T2^16 - 629*T1^11*T2^16 + 701*T1^12*T2^16 - 629*T1^13*T2^16 + 
     437*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 534] -> 
  {(4 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3, 
   (-112 + 484*T1 - 1064*T1^2 + 1360*T1^3 - 1064*T1^4 + 484*T1^5 - 112*T1^6 + 
     484*T2 - 1874*T1*T2 + 3648*T1^2*T2 - 3784*T1^3*T2 + 1928*T1^4*T2 - 
     24*T1^5*T2 - 446*T1^6*T2 + 212*T1^7*T2 - 1064*T2^2 + 3648*T1*T2^2 - 
     5859*T1^2*T2^2 + 3453*T1^3*T2^2 + 2251*T1^4*T2^2 - 5427*T1^5*T2^2 + 
     3909*T1^6*T2^2 - 1384*T1^7*T2^2 + 120*T1^8*T2^2 + 1360*T2^3 - 
     3784*T1*T2^3 + 3453*T1^2*T2^3 + 3973*T1^3*T2^3 - 12041*T1^4*T2^3 + 
     10339*T1^5*T2^3 - 1229*T1^6*T2^3 - 4206*T1^7*T2^3 + 3288*T1^8*T2^3 - 
     896*T1^9*T2^3 - 1064*T2^4 + 1928*T1*T2^4 + 2251*T1^2*T2^4 - 
     12041*T1^3*T2^4 + 15485*T1^4*T2^4 - 2117*T1^5*T2^4 - 12919*T1^6*T2^4 + 
     12869*T1^7*T2^4 - 3011*T1^8*T2^4 - 1744*T1^9*T2^4 + 1304*T1^10*T2^4 + 
     484*T2^5 - 24*T1*T2^5 - 5427*T1^2*T2^5 + 10339*T1^3*T2^5 - 
     2117*T1^4*T2^5 - 21662*T1^5*T2^5 + 29656*T1^6*T2^5 - 12366*T1^7*T2^5 - 
     6981*T1^8*T2^5 + 7116*T1^9*T2^5 - 1792*T1^10*T2^5 - 876*T1^11*T2^5 - 
     112*T2^6 - 446*T1*T2^6 + 3909*T1^2*T2^6 - 1229*T1^3*T2^6 - 
     12919*T1^4*T2^6 + 29656*T1^5*T2^6 - 14748*T1^6*T2^6 - 15968*T1^7*T2^6 + 
     26655*T1^8*T2^6 - 9515*T1^9*T2^6 - 1239*T1^10*T2^6 + 2546*T1^11*T2^6 + 
     272*T1^12*T2^6 + 212*T1*T2^7 - 1384*T1^2*T2^7 - 4206*T1^3*T2^7 + 
     12869*T1^4*T2^7 - 12366*T1^5*T2^7 - 15968*T1^6*T2^7 + 35350*T1^7*T2^7 - 
     22615*T1^8*T2^7 - 4451*T1^9*T2^7 + 8337*T1^10*T2^7 - 3152*T1^11*T2^7 - 
     1148*T1^12*T2^7 + 120*T1^2*T2^8 + 3288*T1^3*T2^8 - 3011*T1^4*T2^8 - 
     6981*T1^5*T2^8 + 26655*T1^6*T2^8 - 22615*T1^7*T2^8 - 1749*T1^8*T2^8 + 
     17929*T1^9*T2^8 - 8273*T1^10*T2^8 - 384*T1^11*T2^8 + 2488*T1^12*T2^8 - 
     896*T1^3*T2^9 - 1744*T1^4*T2^9 + 7116*T1^5*T2^9 - 9515*T1^6*T2^9 - 
     4451*T1^7*T2^9 + 17929*T1^8*T2^9 - 14717*T1^9*T2^9 - 543*T1^10*T2^9 + 
     5328*T1^11*T2^9 - 3152*T1^12*T2^9 + 1304*T1^4*T2^10 - 1792*T1^5*T2^10 - 
     1239*T1^6*T2^10 + 8337*T1^7*T2^10 - 8273*T1^8*T2^10 - 543*T1^9*T2^10 + 
     8529*T1^10*T2^10 - 6824*T1^11*T2^10 + 2488*T1^12*T2^10 - 
     876*T1^5*T2^11 + 2546*T1^6*T2^11 - 3152*T1^7*T2^11 - 384*T1^8*T2^11 + 
     5328*T1^9*T2^11 - 6824*T1^10*T2^11 + 3974*T1^11*T2^11 - 
     1148*T1^12*T2^11 + 272*T1^6*T2^12 - 1148*T1^7*T2^12 + 2488*T1^8*T2^12 - 
     3152*T1^9*T2^12 + 2488*T1^10*T2^12 - 1148*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 535] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4), 
   -((-3 + 21*T1 - 63*T1^2 + 111*T1^3 - 129*T1^4 + 111*T1^5 - 63*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 343*T1^2*T2 - 483*T1^3*T2 + 
      385*T1^4*T2 - 175*T1^5*T2 - 77*T1^6*T2 + 147*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 63*T2^2 + 343*T1*T2^2 - 652*T1^2*T2^2 + 396*T1^3*T2^2 + 
      520*T1^4*T2^2 - 1154*T1^5*T2^2 + 1444*T1^6*T2^2 - 864*T1^7*T2^2 + 
      188*T1^8*T2^2 + 49*T1^9*T2^2 - 21*T1^10*T2^2 + 111*T2^3 - 483*T1*T2^3 + 
      396*T1^2*T2^3 + 1100*T1^3*T2^3 - 3070*T1^4*T2^3 + 3092*T1^5*T2^3 - 
      2230*T1^6*T2^3 - 94*T1^7*T2^3 + 1202*T1^8*T2^3 - 759*T1^9*T2^3 + 
      147*T1^10*T2^3 - 129*T2^4 + 385*T1*T2^4 + 520*T1^2*T2^4 - 
      3070*T1^3*T2^4 + 4393*T1^4*T2^4 - 1543*T1^5*T2^4 - 1287*T1^6*T2^4 + 
      4693*T1^7*T2^4 - 3923*T1^8*T2^4 + 926*T1^9*T2^4 + 506*T1^10*T2^4 - 
      301*T1^11*T2^4 + 43*T1^12*T2^4 + 111*T2^5 - 175*T1*T2^5 - 
      1154*T1^2*T2^5 + 3092*T1^3*T2^5 - 1543*T1^4*T2^5 - 4475*T1^5*T2^5 + 
      7051*T1^6*T2^5 - 7915*T1^7*T2^5 + 2471*T1^8*T2^5 + 3060*T1^9*T2^5 - 
      2810*T1^10*T2^5 + 505*T1^11*T2^5 + 217*T1^12*T2^5 - 74*T1^13*T2^5 - 
      63*T2^6 - 77*T1*T2^6 + 1444*T1^2*T2^6 - 2230*T1^3*T2^6 - 
      1287*T1^4*T2^6 + 7051*T1^5*T2^6 - 5913*T1^6*T2^6 + 2327*T1^7*T2^6 + 
      5259*T1^8*T2^6 - 8279*T1^9*T2^6 + 1919*T1^10*T2^6 + 2222*T1^11*T2^6 - 
      1356*T1^12*T2^6 + 77*T1^13*T2^6 + 63*T1^14*T2^6 + 21*T2^7 + 
      147*T1*T2^7 - 864*T1^2*T2^7 - 94*T1^3*T2^7 + 4693*T1^4*T2^7 - 
      7915*T1^5*T2^7 + 2327*T1^6*T2^7 + 4068*T1^7*T2^7 - 8202*T1^8*T2^7 + 
      4956*T1^9*T2^7 + 6323*T1^10*T2^7 - 6442*T1^11*T2^7 + 1010*T1^12*T2^7 + 
      921*T1^13*T2^7 - 245*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 
      188*T1^2*T2^8 + 1202*T1^3*T2^8 - 3923*T1^4*T2^8 + 2471*T1^5*T2^8 + 
      5259*T1^6*T2^8 - 8202*T1^7*T2^8 + 2808*T1^8*T2^8 + 4938*T1^9*T2^8 - 
      13503*T1^10*T2^8 + 4309*T1^11*T2^8 + 3421*T1^12*T2^8 - 
      2530*T1^13*T2^8 + 62*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 49*T1^2*T2^9 - 759*T1^3*T2^9 + 926*T1^4*T2^9 + 
      3060*T1^5*T2^9 - 8279*T1^6*T2^9 + 4956*T1^7*T2^9 + 4938*T1^8*T2^9 - 
      7332*T1^9*T2^9 + 7585*T1^10*T2^9 + 5959*T1^11*T2^9 - 8075*T1^12*T2^9 + 
      2030*T1^13*T2^9 + 1026*T1^14*T2^9 - 343*T1^15*T2^9 - 35*T1^16*T2^9 - 
      21*T1^2*T2^10 + 147*T1^3*T2^10 + 506*T1^4*T2^10 - 2810*T1^5*T2^10 + 
      1919*T1^6*T2^10 + 6323*T1^7*T2^10 - 13503*T1^8*T2^10 + 
      7585*T1^9*T2^10 - 2331*T1^10*T2^10 - 9007*T1^11*T2^10 + 
      5125*T1^12*T2^10 + 1642*T1^13*T2^10 - 2294*T1^14*T2^10 + 
      301*T1^15*T2^10 + 105*T1^16*T2^10 - 301*T1^4*T2^11 + 505*T1^5*T2^11 + 
      2222*T1^6*T2^11 - 6442*T1^7*T2^11 + 4309*T1^8*T2^11 + 5959*T1^9*T2^11 - 
      9007*T1^10*T2^11 + 11255*T1^11*T2^11 - 1839*T1^12*T2^11 - 
      3680*T1^13*T2^11 + 2164*T1^14*T2^11 + 91*T1^15*T2^11 - 
      185*T1^16*T2^11 + 43*T1^4*T2^12 + 217*T1^5*T2^12 - 1356*T1^6*T2^12 + 
      1010*T1^7*T2^12 + 3421*T1^8*T2^12 - 8075*T1^9*T2^12 + 
      5125*T1^10*T2^12 - 1839*T1^11*T2^12 - 4895*T1^12*T2^12 + 
      5006*T1^13*T2^12 - 1370*T1^14*T2^12 - 469*T1^15*T2^12 + 
      215*T1^16*T2^12 - 74*T1^5*T2^13 + 77*T1^6*T2^13 + 921*T1^7*T2^13 - 
      2530*T1^8*T2^13 + 2030*T1^9*T2^13 + 1642*T1^10*T2^13 - 
      3680*T1^11*T2^13 + 5006*T1^12*T2^13 - 2428*T1^13*T2^13 - 
      234*T1^14*T2^13 + 707*T1^15*T2^13 - 185*T1^16*T2^13 + 63*T1^6*T2^14 - 
      245*T1^7*T2^14 + 62*T1^8*T2^14 + 1026*T1^9*T2^14 - 2294*T1^10*T2^14 + 
      2164*T1^11*T2^14 - 1370*T1^12*T2^14 - 234*T1^13*T2^14 + 
      902*T1^14*T2^14 - 539*T1^15*T2^14 + 105*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 343*T1^9*T2^15 + 301*T1^10*T2^15 + 91*T1^11*T2^15 - 
      469*T1^12*T2^15 + 707*T1^13*T2^15 - 539*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 105*T1^10*T2^16 - 
      185*T1^11*T2^16 + 215*T1^12*T2^16 - 185*T1^13*T2^16 + 105*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 536] -> 
  {(1 - 7*T + 19*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 19*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 114*T1^2 + 162*T1^3 - 174*T1^4 + 162*T1^5 - 114*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 553*T1^2*T2 - 469*T1^3*T2 + 
     273*T1^4*T2 - 119*T1^5*T2 - 147*T1^6*T2 + 371*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 114*T2^2 + 553*T1*T2^2 - 533*T1^2*T2^2 - 1021*T1^3*T2^2 + 
     1837*T1^4*T2^2 - 1949*T1^5*T2^2 + 2217*T1^6*T2^2 - 1781*T1^7*T2^2 + 
     151*T1^8*T2^2 + 287*T1^9*T2^2 - 76*T1^10*T2^2 + 162*T2^3 - 469*T1*T2^3 - 
     1021*T1^2*T2^3 + 4556*T1^3*T2^3 - 3732*T1^4*T2^3 + 2112*T1^5*T2^3 - 
     1610*T1^6*T2^3 - 530*T1^7*T2^3 + 3366*T1^8*T2^3 - 1496*T1^9*T2^3 - 
     35*T1^10*T2^3 + 81*T1^11*T2^3 - 174*T2^4 + 273*T1*T2^4 + 
     1837*T1^2*T2^4 - 3732*T1^3*T2^4 - 2787*T1^4*T2^4 + 5893*T1^5*T2^4 - 
     5627*T1^6*T2^4 + 7353*T1^7*T2^4 - 7099*T1^8*T2^4 - 60*T1^9*T2^4 + 
     1395*T1^10*T2^4 - 161*T1^11*T2^4 - 58*T1^12*T2^4 + 162*T2^5 - 
     119*T1*T2^5 - 1949*T1^2*T2^5 + 2112*T1^3*T2^5 + 5893*T1^4*T2^5 - 
     4771*T1^5*T2^5 + 1643*T1^6*T2^5 - 2581*T1^7*T2^5 + 683*T1^8*T2^5 + 
     5692*T1^9*T2^5 - 1710*T1^10*T2^5 - 764*T1^11*T2^5 + 217*T1^12*T2^5 + 
     27*T1^13*T2^5 - 114*T2^6 - 147*T1*T2^6 + 2217*T1^2*T2^6 - 
     1610*T1^3*T2^6 - 5627*T1^4*T2^6 + 1643*T1^5*T2^6 + 629*T1^6*T2^6 + 
     2277*T1^7*T2^6 - 1419*T1^8*T2^6 - 2307*T1^9*T2^6 - 2897*T1^10*T2^6 + 
     1962*T1^11*T2^6 + 193*T1^12*T2^6 - 189*T1^13*T2^6 + 42*T2^7 + 
     371*T1*T2^7 - 1781*T1^2*T2^7 - 530*T1^3*T2^7 + 7353*T1^4*T2^7 - 
     2581*T1^5*T2^7 + 2277*T1^6*T2^7 - 6190*T1^7*T2^7 + 3858*T1^8*T2^7 + 
     580*T1^9*T2^7 + 2191*T1^10*T2^7 + 910*T1^11*T2^7 - 1852*T1^12*T2^7 + 
     404*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 
     151*T1^2*T2^8 + 3366*T1^3*T2^8 - 7099*T1^4*T2^8 + 683*T1^5*T2^8 - 
     1419*T1^6*T2^8 + 3858*T1^7*T2^8 + 1500*T1^8*T2^8 - 5206*T1^9*T2^8 + 
     2067*T1^10*T2^8 - 3751*T1^11*T2^8 + 2425*T1^12*T2^8 + 86*T1^13*T2^8 - 
     311*T1^14*T2^8 + 35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 
     287*T1^2*T2^9 - 1496*T1^3*T2^9 - 60*T1^4*T2^9 + 5692*T1^5*T2^9 - 
     2307*T1^6*T2^9 + 580*T1^7*T2^9 - 5206*T1^8*T2^9 + 4842*T1^9*T2^9 - 
     1117*T1^10*T2^9 + 2465*T1^11*T2^9 - 751*T1^12*T2^9 - 1382*T1^13*T2^9 + 
     689*T1^14*T2^9 - 35*T1^15*T2^9 - 14*T1^16*T2^9 - 76*T1^2*T2^10 - 
     35*T1^3*T2^10 + 1395*T1^4*T2^10 - 1710*T1^5*T2^10 - 2897*T1^6*T2^10 + 
     2191*T1^7*T2^10 + 2067*T1^8*T2^10 - 1117*T1^9*T2^10 + 19*T1^10*T2^10 - 
     1759*T1^11*T2^10 - 167*T1^12*T2^10 + 1862*T1^13*T2^10 - 
     629*T1^14*T2^10 - 77*T1^15*T2^10 + 38*T1^16*T2^10 + 81*T1^3*T2^11 - 
     161*T1^4*T2^11 - 764*T1^5*T2^11 + 1962*T1^6*T2^11 + 910*T1^7*T2^11 - 
     3751*T1^8*T2^11 + 2465*T1^9*T2^11 - 1759*T1^10*T2^11 + 
     1703*T1^11*T2^11 + 709*T1^12*T2^11 - 1860*T1^13*T2^11 + 
     421*T1^14*T2^11 + 175*T1^15*T2^11 - 54*T1^16*T2^11 - 58*T1^4*T2^12 + 
     217*T1^5*T2^12 + 193*T1^6*T2^12 - 1852*T1^7*T2^12 + 2425*T1^8*T2^12 - 
     751*T1^9*T2^12 - 167*T1^10*T2^12 + 709*T1^11*T2^12 - 1887*T1^12*T2^12 + 
     1820*T1^13*T2^12 - 249*T1^14*T2^12 - 217*T1^15*T2^12 + 58*T1^16*T2^12 + 
     27*T1^5*T2^13 - 189*T1^6*T2^13 + 404*T1^7*T2^13 + 86*T1^8*T2^13 - 
     1382*T1^9*T2^13 + 1862*T1^10*T2^13 - 1860*T1^11*T2^13 + 
     1820*T1^12*T2^13 - 1104*T1^13*T2^13 - 71*T1^14*T2^13 + 245*T1^15*T2^13 - 
     54*T1^16*T2^13 + 49*T1^7*T2^14 - 311*T1^8*T2^14 + 689*T1^9*T2^14 - 
     629*T1^10*T2^14 + 421*T1^11*T2^14 - 249*T1^12*T2^14 - 71*T1^13*T2^14 + 
     373*T1^14*T2^14 - 217*T1^15*T2^14 + 38*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 35*T1^9*T2^15 - 77*T1^10*T2^15 + 175*T1^11*T2^15 - 
     217*T1^12*T2^15 + 245*T1^13*T2^15 - 217*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 38*T1^10*T2^16 - 
     54*T1^11*T2^16 + 58*T1^12*T2^16 - 54*T1^13*T2^16 + 38*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 537] -> 
  {(2 - 15*T + 43*T^2 - 59*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-33 + 247*T1 - 707*T1^2 + 969*T1^3 - 707*T1^4 + 247*T1^5 - 33*T1^6 + 
     247*T2 - 1662*T1*T2 + 3894*T1^2*T2 - 3252*T1^3*T2 - 192*T1^4*T2 + 
     2154*T1^5*T2 - 1152*T1^6*T2 + 187*T1^7*T2 - 707*T2^2 + 3894*T1*T2^2 - 
     5102*T1^2*T2^2 - 6220*T1^3*T2^2 + 17764*T1^4*T2^2 - 13788*T1^5*T2^2 + 
     1950*T1^6*T2^2 + 1314*T1^7*T2^2 - 363*T1^8*T2^2 + 969*T2^3 - 
     3252*T1*T2^3 - 6220*T1^2*T2^3 + 36323*T1^3*T2^3 - 40095*T1^4*T2^3 + 
     5163*T1^5*T2^3 + 20507*T1^6*T2^3 - 10477*T1^7*T2^3 + 768*T1^8*T2^3 + 
     261*T1^9*T2^3 - 707*T2^4 - 192*T1*T2^4 + 17764*T1^2*T2^4 - 
     40095*T1^3*T2^4 - 3104*T1^4*T2^4 + 69240*T1^5*T2^4 - 66880*T1^6*T2^4 + 
     12179*T1^7*T2^4 + 6006*T1^8*T2^4 - 1812*T1^9*T2^4 - 19*T1^10*T2^4 + 
     247*T2^5 + 2154*T1*T2^5 - 13788*T1^2*T2^5 + 5163*T1^3*T2^5 + 
     69240*T1^4*T2^5 - 107282*T1^5*T2^5 + 41812*T1^6*T2^5 + 33679*T1^7*T2^5 - 
     26063*T1^8*T2^5 + 3713*T1^9*T2^5 + 534*T1^10*T2^5 - 53*T1^11*T2^5 - 
     33*T2^6 - 1152*T1*T2^6 + 1950*T1^2*T2^6 + 20507*T1^3*T2^6 - 
     66880*T1^4*T2^6 + 41812*T1^5*T2^6 + 48828*T1^6*T2^6 - 84360*T1^7*T2^6 + 
     32670*T1^8*T2^6 + 2321*T1^9*T2^6 - 3122*T1^10*T2^6 + 288*T1^11*T2^6 + 
     15*T1^12*T2^6 + 187*T1*T2^7 + 1314*T1^2*T2^7 - 10477*T1^3*T2^7 + 
     12179*T1^4*T2^7 + 33679*T1^5*T2^7 - 84360*T1^6*T2^7 + 64734*T1^7*T2^7 - 
     1882*T1^8*T2^7 - 19047*T1^9*T2^7 + 7024*T1^10*T2^7 - 306*T1^11*T2^7 - 
     113*T1^12*T2^7 - 363*T1^2*T2^8 + 768*T1^3*T2^8 + 6006*T1^4*T2^8 - 
     26063*T1^5*T2^8 + 32670*T1^6*T2^8 - 1882*T1^7*T2^8 - 31106*T1^8*T2^8 + 
     26211*T1^9*T2^8 - 5752*T1^10*T2^8 - 852*T1^11*T2^8 + 325*T1^12*T2^8 + 
     261*T1^3*T2^9 - 1812*T1^4*T2^9 + 3713*T1^5*T2^9 + 2321*T1^6*T2^9 - 
     19047*T1^7*T2^9 + 26211*T1^8*T2^9 - 13495*T1^9*T2^9 - 544*T1^10*T2^9 + 
     2208*T1^11*T2^9 - 447*T1^12*T2^9 - 19*T1^4*T2^10 + 534*T1^5*T2^10 - 
     3122*T1^6*T2^10 + 7024*T1^7*T2^10 - 5752*T1^8*T2^10 - 544*T1^9*T2^10 + 
     3930*T1^10*T2^10 - 2046*T1^11*T2^10 + 325*T1^12*T2^10 - 53*T1^5*T2^11 + 
     288*T1^6*T2^11 - 306*T1^7*T2^11 - 852*T1^8*T2^11 + 2208*T1^9*T2^11 - 
     2046*T1^10*T2^11 + 798*T1^11*T2^11 - 113*T1^12*T2^11 + 15*T1^6*T2^12 - 
     113*T1^7*T2^12 + 325*T1^8*T2^12 - 447*T1^9*T2^12 + 325*T1^10*T2^12 - 
     113*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 538] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 12*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 339*T1^2 + 367*T1^3 - 367*T1^4 + 367*T1^5 - 
      339*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 576*T1^2*T2 - 
      304*T1^3*T2 + 208*T1^4*T2 - 208*T1^5*T2 + 96*T1^6*T2 + 256*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 339*T2^2 + 576*T1*T2^2 + 832*T1^2*T2^2 - 
      1494*T1^3*T2^2 + 1414*T1^4*T2^2 - 1298*T1^5*T2^2 + 1462*T1^6*T2^2 - 
      1734*T1^7*T2^2 + 1312*T1^8*T2^2 + 192*T1^9*T2^2 - 243*T1^10*T2^2 + 
      367*T2^3 - 304*T1*T2^3 - 1494*T1^2*T2^3 + 998*T1^3*T2^3 - 
      258*T1^4*T2^3 + 146*T1^5*T2^3 - 400*T1^6*T2^3 + 504*T1^7*T2^3 + 
      248*T1^8*T2^3 - 1470*T1^9*T2^3 + 128*T1^10*T2^3 + 211*T1^11*T2^3 - 
      367*T2^4 + 208*T1*T2^4 + 1414*T1^2*T2^4 - 258*T1^3*T2^4 + 
      122*T1^4*T2^4 - 522*T1^5*T2^4 + 828*T1^6*T2^4 - 834*T1^7*T2^4 + 
      226*T1^8*T2^4 + 470*T1^9*T2^4 + 998*T1^10*T2^4 - 208*T1^11*T2^4 - 
      159*T1^12*T2^4 + 367*T2^5 - 208*T1*T2^5 - 1298*T1^2*T2^5 + 
      146*T1^3*T2^5 - 522*T1^4*T2^5 + 688*T1^5*T2^5 - 628*T1^6*T2^5 + 
      516*T1^7*T2^5 - 14*T1^8*T2^5 - 652*T1^9*T2^5 - 348*T1^10*T2^5 - 
      674*T1^11*T2^5 + 208*T1^12*T2^5 + 107*T1^13*T2^5 - 339*T2^6 + 
      96*T1*T2^6 + 1462*T1^2*T2^6 - 400*T1^3*T2^6 + 828*T1^4*T2^6 - 
      628*T1^5*T2^6 + 412*T1^6*T2^6 - 426*T1^7*T2^6 + 84*T1^8*T2^6 + 
      516*T1^9*T2^6 + 412*T1^10*T2^6 + 224*T1^11*T2^6 + 486*T1^12*T2^6 - 
      224*T1^13*T2^6 - 51*T1^14*T2^6 + 227*T2^7 + 256*T1*T2^7 - 
      1734*T1^2*T2^7 + 504*T1^3*T2^7 - 834*T1^4*T2^7 + 516*T1^5*T2^7 - 
      426*T1^6*T2^7 + 749*T1^7*T2^7 - 425*T1^8*T2^7 - 173*T1^9*T2^7 - 
      628*T1^10*T2^7 + 24*T1^11*T2^7 - 394*T1^12*T2^7 - 174*T1^13*T2^7 + 
      192*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 
      1312*T1^2*T2^8 + 248*T1^3*T2^8 + 226*T1^4*T2^8 - 14*T1^5*T2^8 + 
      84*T1^6*T2^8 - 425*T1^7*T2^8 - 192*T1^8*T2^8 + 617*T1^9*T2^8 + 
      122*T1^10*T2^8 + 454*T1^11*T2^8 - 142*T1^12*T2^8 + 508*T1^13*T2^8 - 
      224*T1^14*T2^8 - 38*T1^15*T2^8 + 7*T1^16*T2^8 + 195*T1*T2^9 + 
      192*T1^2*T2^9 - 1470*T1^3*T2^9 + 470*T1^4*T2^9 - 652*T1^5*T2^9 + 
      516*T1^6*T2^9 - 173*T1^7*T2^9 + 617*T1^8*T2^9 - 557*T1^9*T2^9 + 
      80*T1^10*T2^9 - 628*T1^11*T2^9 + 206*T1^12*T2^9 - 428*T1^13*T2^9 + 
      90*T1^14*T2^9 + 128*T1^15*T2^9 - 29*T1^16*T2^9 - 243*T1^2*T2^10 + 
      128*T1^3*T2^10 + 998*T1^4*T2^10 - 348*T1^5*T2^10 + 412*T1^6*T2^10 - 
      628*T1^7*T2^10 + 122*T1^8*T2^10 + 80*T1^9*T2^10 - 206*T1^10*T2^10 + 
      516*T1^11*T2^10 - 4*T1^12*T2^10 + 276*T1^13*T2^10 + 22*T1^14*T2^10 - 
      192*T1^15*T2^10 + 45*T1^16*T2^10 + 211*T1^3*T2^11 - 208*T1^4*T2^11 - 
      674*T1^5*T2^11 + 224*T1^6*T2^11 + 24*T1^7*T2^11 + 454*T1^8*T2^11 - 
      628*T1^9*T2^11 + 516*T1^10*T2^11 - 248*T1^11*T2^11 - 106*T1^12*T2^11 - 
      270*T1^13*T2^11 - 50*T1^14*T2^11 + 208*T1^15*T2^11 - 49*T1^16*T2^11 - 
      159*T1^4*T2^12 + 208*T1^5*T2^12 + 486*T1^6*T2^12 - 394*T1^7*T2^12 - 
      142*T1^8*T2^12 + 206*T1^9*T2^12 - 4*T1^10*T2^12 - 106*T1^11*T2^12 - 
      38*T1^12*T2^12 + 334*T1^13*T2^12 + 70*T1^14*T2^12 - 208*T1^15*T2^12 + 
      49*T1^16*T2^12 + 107*T1^5*T2^13 - 224*T1^6*T2^13 - 174*T1^7*T2^13 + 
      508*T1^8*T2^13 - 428*T1^9*T2^13 + 276*T1^10*T2^13 - 270*T1^11*T2^13 + 
      334*T1^12*T2^13 - 242*T1^13*T2^13 - 150*T1^14*T2^13 + 208*T1^15*T2^13 - 
      49*T1^16*T2^13 - 51*T1^6*T2^14 + 192*T1^7*T2^14 - 224*T1^8*T2^14 + 
      90*T1^9*T2^14 + 22*T1^10*T2^14 - 50*T1^11*T2^14 + 70*T1^12*T2^14 - 
      150*T1^13*T2^14 + 256*T1^14*T2^14 - 192*T1^15*T2^14 + 45*T1^16*T2^14 + 
      3*T1^7*T2^15 - 38*T1^8*T2^15 + 128*T1^9*T2^15 - 192*T1^10*T2^15 + 
      208*T1^11*T2^15 - 208*T1^12*T2^15 + 208*T1^13*T2^15 - 192*T1^14*T2^15 + 
      122*T1^15*T2^15 - 29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 
      45*T1^10*T2^16 - 49*T1^11*T2^16 + 49*T1^12*T2^16 - 49*T1^13*T2^16 + 
      45*T1^14*T2^16 - 29*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 539] -> 
  {-((4 - 18*T + 32*T^2 - 37*T^3 + 32*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-336 + 1500*T1 - 2644*T1^2 + 3048*T1^3 - 2644*T1^4 + 1500*T1^5 - 
      336*T1^6 + 1500*T2 - 5494*T1*T2 + 6428*T1^2*T2 - 4120*T1^3*T2 + 
      848*T1^4*T2 + 2828*T1^5*T2 - 3910*T1^6*T2 + 1212*T1^7*T2 - 2644*T2^2 + 
      6428*T1*T2^2 + 1641*T1^2*T2^2 - 11453*T1^3*T2^2 + 15825*T1^4*T2^2 - 
      16317*T1^5*T2^2 + 8809*T1^6*T2^2 + 1820*T1^7*T2^2 - 1620*T1^8*T2^2 + 
      3048*T2^3 - 4120*T1*T2^3 - 11453*T1^2*T2^3 + 17288*T1^3*T2^3 - 
      12068*T1^4*T2^3 + 5476*T1^5*T2^3 + 6692*T1^6*T2^3 - 12989*T1^7*T2^3 + 
      1568*T1^8*T2^3 + 1272*T1^9*T2^3 - 2644*T2^4 + 848*T1*T2^4 + 
      15825*T1^2*T2^4 - 12068*T1^3*T2^4 + 1484*T1^4*T2^4 + 3028*T1^5*T2^4 - 
      9488*T1^6*T2^4 + 6284*T1^7*T2^4 + 8233*T1^8*T2^4 - 3040*T1^9*T2^4 - 
      596*T1^10*T2^4 + 1500*T2^5 + 2828*T1*T2^5 - 16317*T1^2*T2^5 + 
      5476*T1^3*T2^5 + 3028*T1^4*T2^5 - 1116*T1^5*T2^5 + 2100*T1^6*T2^5 + 
      3156*T1^7*T2^5 - 10452*T1^8*T2^5 - 1469*T1^9*T2^5 + 2396*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3910*T1*T2^6 + 8809*T1^2*T2^6 + 
      6692*T1^3*T2^6 - 9488*T1^4*T2^6 + 2100*T1^5*T2^6 - 1044*T1^6*T2^6 - 
      2252*T1^7*T2^6 + 2976*T1^8*T2^6 + 7748*T1^9*T2^6 - 3255*T1^10*T2^6 - 
      454*T1^11*T2^6 + 48*T1^12*T2^6 + 1212*T1*T2^7 + 1820*T1^2*T2^7 - 
      12989*T1^3*T2^7 + 6284*T1^4*T2^7 + 3156*T1^5*T2^7 - 2252*T1^6*T2^7 + 
      964*T1^7*T2^7 + 3284*T1^8*T2^7 - 9644*T1^9*T2^7 + 1859*T1^10*T2^7 + 
      1388*T1^11*T2^7 - 228*T1^12*T2^7 - 1620*T1^2*T2^8 + 1568*T1^3*T2^8 + 
      8233*T1^4*T2^8 - 10452*T1^5*T2^8 + 2976*T1^6*T2^8 + 3284*T1^7*T2^8 - 
      7996*T1^8*T2^8 + 7900*T1^9*T2^8 + 641*T1^10*T2^8 - 2320*T1^11*T2^8 + 
      428*T1^12*T2^8 + 1272*T1^3*T2^9 - 3040*T1^4*T2^9 - 1469*T1^5*T2^9 + 
      7748*T1^6*T2^9 - 9644*T1^7*T2^9 + 7900*T1^8*T2^9 - 2848*T1^9*T2^9 - 
      3005*T1^10*T2^9 + 2648*T1^11*T2^9 - 504*T1^12*T2^9 - 596*T1^4*T2^10 + 
      2396*T1^5*T2^10 - 3255*T1^6*T2^10 + 1859*T1^7*T2^10 + 641*T1^8*T2^10 - 
      3005*T1^9*T2^10 + 3913*T1^10*T2^10 - 2212*T1^11*T2^10 + 
      428*T1^12*T2^10 + 60*T1^5*T2^11 - 454*T1^6*T2^11 + 1388*T1^7*T2^11 - 
      2320*T1^8*T2^11 + 2648*T1^9*T2^11 - 2212*T1^10*T2^11 + 
      1130*T1^11*T2^11 - 228*T1^12*T2^11 + 48*T1^6*T2^12 - 228*T1^7*T2^12 + 
      428*T1^8*T2^12 - 504*T1^9*T2^12 + 428*T1^10*T2^12 - 228*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 540] -> 
  {-(((4 - 7*T + 4*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((-336 + 1584*T1 - 3064*T1^2 + 3720*T1^3 - 3064*T1^4 + 1584*T1^5 - 
      336*T1^6 + 1584*T2 - 6196*T1*T2 + 8444*T1^2*T2 - 5916*T1^3*T2 + 
      316*T1^4*T2 + 4188*T1^5*T2 - 4448*T1^6*T2 + 1280*T1^7*T2 - 3064*T2^2 + 
      8444*T1*T2^2 - 1465*T1^2*T2^2 - 12317*T1^3*T2^2 + 22001*T1^4*T2^2 - 
      20013*T1^5*T2^2 + 8303*T1^6*T2^2 + 2820*T1^7*T2^2 - 1880*T1^8*T2^2 + 
      3720*T2^3 - 5916*T1*T2^3 - 12317*T1^2*T2^3 + 25935*T1^3*T2^3 - 
      22663*T1^4*T2^3 + 4743*T1^5*T2^3 + 13027*T1^6*T2^3 - 16128*T1^7*T2^3 + 
      1532*T1^8*T2^3 + 1560*T1^9*T2^3 - 3064*T2^4 + 316*T1*T2^4 + 
      22001*T1^2*T2^4 - 22663*T1^3*T2^4 + 4774*T1^4*T2^4 + 15406*T1^5*T2^4 - 
      20150*T1^6*T2^4 + 7127*T1^7*T2^4 + 11415*T1^8*T2^4 - 4092*T1^9*T2^4 - 
      696*T1^10*T2^4 + 1584*T2^5 + 4188*T1*T2^5 - 20013*T1^2*T2^5 + 
      4743*T1^3*T2^5 + 15406*T1^4*T2^5 - 20594*T1^5*T2^5 + 6572*T1^6*T2^5 + 
      11447*T1^7*T2^5 - 17895*T1^8*T2^5 - 662*T1^9*T2^5 + 2972*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4448*T1*T2^6 + 8303*T1^2*T2^6 + 
      13027*T1^3*T2^6 - 20150*T1^4*T2^6 + 6572*T1^5*T2^6 + 12840*T1^6*T2^6 - 
      18788*T1^7*T2^6 + 8776*T1^8*T2^6 + 10113*T1^9*T2^6 - 4629*T1^10*T2^6 - 
      496*T1^11*T2^6 + 48*T1^12*T2^6 + 1280*T1*T2^7 + 2820*T1^2*T2^7 - 
      16128*T1^3*T2^7 + 7127*T1^4*T2^7 + 11447*T1^5*T2^7 - 18788*T1^6*T2^7 + 
      8378*T1^7*T2^7 + 7488*T1^8*T2^7 - 15511*T1^9*T2^7 + 3223*T1^10*T2^7 + 
      1604*T1^11*T2^7 - 240*T1^12*T2^7 - 1880*T1^2*T2^8 + 1532*T1^3*T2^8 + 
      11415*T1^4*T2^8 - 17895*T1^5*T2^8 + 8776*T1^6*T2^8 + 7488*T1^7*T2^8 - 
      16148*T1^8*T2^8 + 11895*T1^9*T2^8 + 829*T1^10*T2^8 - 2876*T1^11*T2^8 + 
      488*T1^12*T2^8 + 1560*T1^3*T2^9 - 4092*T1^4*T2^9 - 662*T1^5*T2^9 + 
      10113*T1^6*T2^9 - 15511*T1^7*T2^9 + 11895*T1^8*T2^9 - 2795*T1^9*T2^9 - 
      4473*T1^10*T2^9 + 3356*T1^11*T2^9 - 600*T1^12*T2^9 - 696*T1^4*T2^10 + 
      2972*T1^5*T2^10 - 4629*T1^6*T2^10 + 3223*T1^7*T2^10 + 829*T1^8*T2^10 - 
      4473*T1^9*T2^10 + 5139*T1^10*T2^10 - 2652*T1^11*T2^10 + 
      488*T1^12*T2^10 + 64*T1^5*T2^11 - 496*T1^6*T2^11 + 1604*T1^7*T2^11 - 
      2876*T1^8*T2^11 + 3356*T1^9*T2^11 - 2652*T1^10*T2^11 + 
      1252*T1^11*T2^11 - 240*T1^12*T2^11 + 48*T1^6*T2^12 - 240*T1^7*T2^12 + 
      488*T1^8*T2^12 - 600*T1^9*T2^12 + 488*T1^10*T2^12 - 240*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 541] -> 
  {((1 - T + T^2)*(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 114*T1^2 + 186*T1^3 - 222*T1^4 + 186*T1^5 - 114*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 553*T1^2*T2 - 637*T1^3*T2 + 
     469*T1^4*T2 - 7*T1^5*T2 - 287*T1^6*T2 + 371*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 114*T2^2 + 553*T1*T2^2 - 533*T1^2*T2^2 - 569*T1^3*T2^2 + 
     1903*T1^4*T2^2 - 3137*T1^5*T2^2 + 2587*T1^6*T2^2 - 1481*T1^7*T2^2 + 
     151*T1^8*T2^2 + 287*T1^9*T2^2 - 76*T1^10*T2^2 + 186*T2^3 - 637*T1*T2^3 - 
     569*T1^2*T2^3 + 3212*T1^3*T2^3 - 4286*T1^4*T2^3 + 4098*T1^5*T2^3 - 
     296*T1^6*T2^3 - 1728*T1^7*T2^3 + 2730*T1^8*T2^3 - 1272*T1^9*T2^3 - 
     119*T1^10*T2^3 + 93*T1^11*T2^3 - 222*T2^4 + 469*T1*T2^4 + 
     1903*T1^2*T2^4 - 4286*T1^3*T2^4 + 2421*T1^4*T2^4 + 91*T1^5*T2^4 - 
     5639*T1^6*T2^4 + 4351*T1^7*T2^4 - 2667*T1^8*T2^4 - 1062*T1^9*T2^4 + 
     1677*T1^10*T2^4 - 133*T1^11*T2^4 - 74*T1^12*T2^4 + 186*T2^5 - 
     7*T1*T2^5 - 3137*T1^2*T2^5 + 4098*T1^3*T2^5 + 91*T1^4*T2^5 - 
     1973*T1^5*T2^5 + 5571*T1^6*T2^5 + 339*T1^7*T2^5 - 1751*T1^8*T2^5 + 
     3906*T1^9*T2^5 - 1148*T1^10*T2^5 - 1232*T1^11*T2^5 + 301*T1^12*T2^5 + 
     31*T1^13*T2^5 - 114*T2^6 - 287*T1*T2^6 + 2587*T1^2*T2^6 - 
     296*T1^3*T2^6 - 5639*T1^4*T2^6 + 5571*T1^5*T2^6 - 6351*T1^6*T2^6 - 
     1619*T1^7*T2^6 + 177*T1^8*T2^6 - 459*T1^9*T2^6 - 3021*T1^10*T2^6 + 
     2820*T1^11*T2^6 + 83*T1^12*T2^6 - 217*T1^13*T2^6 + 42*T2^7 + 
     371*T1*T2^7 - 1481*T1^2*T2^7 - 1728*T1^3*T2^7 + 4351*T1^4*T2^7 + 
     339*T1^5*T2^7 - 1619*T1^6*T2^7 + 6544*T1^7*T2^7 - 1668*T1^9*T2^7 + 
     3975*T1^10*T2^7 - 1244*T1^11*T2^7 - 1622*T1^12*T2^7 + 476*T1^13*T2^7 + 
     49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 151*T1^2*T2^8 + 
     2730*T1^3*T2^8 - 2667*T1^4*T2^8 - 1751*T1^5*T2^8 + 177*T1^6*T2^8 - 
     6756*T1^8*T2^8 + 5176*T1^9*T2^8 - 2929*T1^10*T2^8 - 1289*T1^11*T2^8 + 
     2497*T1^12*T2^8 - 118*T1^13*T2^8 - 311*T1^14*T2^8 + 35*T1^15*T2^8 + 
     2*T1^16*T2^8 + 35*T1*T2^9 + 287*T1^2*T2^9 - 1272*T1^3*T2^9 - 
     1062*T1^4*T2^9 + 3906*T1^5*T2^9 - 459*T1^6*T2^9 - 1668*T1^7*T2^9 + 
     5176*T1^8*T2^9 - 1368*T1^9*T2^9 - 1717*T1^10*T2^9 + 3177*T1^11*T2^9 - 
     1689*T1^12*T2^9 - 956*T1^13*T2^9 + 685*T1^14*T2^9 - 35*T1^15*T2^9 - 
     14*T1^16*T2^9 - 76*T1^2*T2^10 - 119*T1^3*T2^10 + 1677*T1^4*T2^10 - 
     1148*T1^5*T2^10 - 3021*T1^6*T2^10 + 3975*T1^7*T2^10 - 2929*T1^8*T2^10 - 
     1717*T1^9*T2^10 + 3599*T1^10*T2^10 - 2055*T1^11*T2^10 - 
     403*T1^12*T2^10 + 1968*T1^13*T2^10 - 827*T1^14*T2^10 - 49*T1^15*T2^10 + 
     38*T1^16*T2^10 + 93*T1^3*T2^11 - 133*T1^4*T2^11 - 1232*T1^5*T2^11 + 
     2820*T1^6*T2^11 - 1244*T1^7*T2^11 - 1289*T1^8*T2^11 + 3177*T1^9*T2^11 - 
     2055*T1^10*T2^11 - 1067*T1^11*T2^11 + 2571*T1^12*T2^11 - 
     2426*T1^13*T2^11 + 673*T1^14*T2^11 + 175*T1^15*T2^11 - 62*T1^16*T2^11 - 
     74*T1^4*T2^12 + 301*T1^5*T2^12 + 83*T1^6*T2^12 - 1622*T1^7*T2^12 + 
     2497*T1^8*T2^12 - 1689*T1^9*T2^12 - 403*T1^10*T2^12 + 2571*T1^11*T2^12 - 
     2591*T1^12*T2^12 + 1602*T1^13*T2^12 - 143*T1^14*T2^12 - 
     301*T1^15*T2^12 + 74*T1^16*T2^12 + 31*T1^5*T2^13 - 217*T1^6*T2^13 + 
     476*T1^7*T2^13 - 118*T1^8*T2^13 - 956*T1^9*T2^13 + 1968*T1^10*T2^13 - 
     2426*T1^11*T2^13 + 1602*T1^12*T2^13 - 600*T1^13*T2^13 - 
     227*T1^14*T2^13 + 301*T1^15*T2^13 - 62*T1^16*T2^13 + 49*T1^7*T2^14 - 
     311*T1^8*T2^14 + 685*T1^9*T2^14 - 827*T1^10*T2^14 + 673*T1^11*T2^14 - 
     143*T1^12*T2^14 - 227*T1^13*T2^14 + 373*T1^14*T2^14 - 217*T1^15*T2^14 + 
     38*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 35*T1^9*T2^15 - 
     49*T1^10*T2^15 + 175*T1^11*T2^15 - 301*T1^12*T2^15 + 301*T1^13*T2^15 - 
     217*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 38*T1^10*T2^16 - 62*T1^11*T2^16 + 74*T1^12*T2^16 - 
     62*T1^13*T2^16 + 38*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 542] -> 
  {-((7 - 31*T + 47*T^2 - 31*T^3 + 7*T^4)/T^2), 
   -((-1190 + 5226*T1 - 7884*T1^2 + 5226*T1^3 - 1190*T1^4 + 5226*T2 - 
      19261*T1*T2 + 18423*T1^2*T2 + 1497*T1^3*T2 - 11015*T1^4*T2 + 
      3707*T1^5*T2 - 7884*T2^2 + 18423*T1*T2^2 + 15356*T1^2*T2^2 - 
      57934*T1^3*T2^2 + 41676*T1^4*T2^2 - 1975*T1^5*T2^2 - 3278*T1^6*T2^2 + 
      5226*T2^3 + 1497*T1*T2^3 - 57934*T1^2*T2^3 + 76960*T1^3*T2^3 - 
      11948*T1^4*T2^3 - 33165*T1^5*T2^3 + 11479*T1^6*T2^3 + 669*T1^7*T2^3 - 
      1190*T2^4 - 11015*T1*T2^4 + 41676*T1^2*T2^4 - 11948*T1^3*T2^4 - 
      57312*T1^4*T2^4 + 58856*T1^5*T2^4 - 8694*T1^6*T2^4 - 3637*T1^7*T2^4 + 
      182*T1^8*T2^4 + 3707*T1*T2^5 - 1975*T1^2*T2^5 - 33165*T1^3*T2^5 + 
      58856*T1^4*T2^5 - 30052*T1^5*T2^5 - 8396*T1^6*T2^5 + 8007*T1^7*T2^5 - 
      850*T1^8*T2^5 - 3278*T1^2*T2^6 + 11479*T1^3*T2^6 - 8694*T1^4*T2^6 - 
      8396*T1^5*T2^6 + 17626*T1^6*T2^6 - 8919*T1^7*T2^6 + 1328*T1^8*T2^6 + 
      669*T1^3*T2^7 - 3637*T1^4*T2^7 + 8007*T1^5*T2^7 - 8919*T1^6*T2^7 + 
      4609*T1^7*T2^7 - 850*T1^8*T2^7 + 182*T1^4*T2^8 - 850*T1^5*T2^8 + 
      1328*T1^6*T2^8 - 850*T1^7*T2^8 + 182*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 543] -> 
  {(3 - 21*T + 57*T^2 - 77*T^3 + 57*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 774*T1 - 2094*T1^2 + 2823*T1^3 - 2094*T1^4 + 774*T1^5 - 111*T1^6 + 
     774*T2 - 4815*T1*T2 + 10540*T1^2*T2 - 8686*T1^3*T2 - 244*T1^4*T2 + 
     5626*T1^5*T2 - 3303*T1^6*T2 + 585*T1^7*T2 - 2094*T2^2 + 10540*T1*T2^2 - 
     12296*T1^2*T2^2 - 15780*T1^3*T2^2 + 43584*T1^4*T2^2 - 34932*T1^5*T2^2 + 
     6172*T1^6*T2^2 + 3358*T1^7*T2^2 - 1068*T1^8*T2^2 + 2823*T2^3 - 
     8686*T1*T2^3 - 15780*T1^2*T2^3 + 84126*T1^3*T2^3 - 91987*T1^4*T2^3 + 
     14357*T1^5*T2^3 + 46200*T1^6*T2^3 - 26553*T1^7*T2^3 + 2276*T1^8*T2^3 + 
     744*T1^9*T2^3 - 2094*T2^4 - 244*T1*T2^4 + 43584*T1^2*T2^4 - 
     91987*T1^3*T2^4 - 1232*T1^4*T2^4 + 143616*T1^5*T2^4 - 145400*T1^6*T2^4 + 
     29981*T1^7*T2^4 + 14658*T1^8*T2^4 - 4906*T1^9*T2^4 - 42*T1^10*T2^4 + 
     774*T2^5 + 5626*T1*T2^5 - 34932*T1^2*T2^5 + 14357*T1^3*T2^5 + 
     143616*T1^4*T2^5 - 224237*T1^5*T2^5 + 91351*T1^6*T2^5 + 
     70599*T1^7*T2^5 - 60739*T1^8*T2^5 + 9357*T1^9*T2^5 + 1468*T1^10*T2^5 - 
     171*T1^11*T2^5 - 111*T2^6 - 3303*T1*T2^6 + 6172*T1^2*T2^6 + 
     46200*T1^3*T2^6 - 145400*T1^4*T2^6 + 91351*T1^5*T2^6 + 98796*T1^6*T2^6 - 
     178415*T1^7*T2^6 + 72742*T1^8*T2^6 + 6132*T1^9*T2^6 - 8300*T1^10*T2^6 + 
     855*T1^11*T2^6 + 51*T1^12*T2^6 + 585*T1*T2^7 + 3358*T1^2*T2^7 - 
     26553*T1^3*T2^7 + 29981*T1^4*T2^7 + 70599*T1^5*T2^7 - 178415*T1^6*T2^7 + 
     137173*T1^7*T2^7 - 2418*T1^8*T2^7 - 45115*T1^9*T2^7 + 17736*T1^10*T2^7 - 
     800*T1^11*T2^7 - 360*T1^12*T2^7 - 1068*T1^2*T2^8 + 2276*T1^3*T2^8 + 
     14658*T1^4*T2^8 - 60739*T1^5*T2^8 + 72742*T1^6*T2^8 - 2418*T1^7*T2^8 - 
     71426*T1^8*T2^8 + 61229*T1^9*T2^8 - 14268*T1^10*T2^8 - 2386*T1^11*T2^8 + 
     984*T1^12*T2^8 + 744*T1^3*T2^9 - 4906*T1^4*T2^9 + 9357*T1^5*T2^9 + 
     6132*T1^6*T2^9 - 45115*T1^7*T2^9 + 61229*T1^8*T2^9 - 31794*T1^9*T2^9 - 
     1416*T1^10*T2^9 + 6056*T1^11*T2^9 - 1335*T1^12*T2^9 - 42*T1^4*T2^10 + 
     1468*T1^5*T2^10 - 8300*T1^6*T2^10 + 17736*T1^7*T2^10 - 
     14268*T1^8*T2^10 - 1416*T1^9*T2^10 + 10168*T1^10*T2^10 - 
     5714*T1^11*T2^10 + 984*T1^12*T2^10 - 171*T1^5*T2^11 + 855*T1^6*T2^11 - 
     800*T1^7*T2^11 - 2386*T1^8*T2^11 + 6056*T1^9*T2^11 - 5714*T1^10*T2^11 + 
     2367*T1^11*T2^11 - 360*T1^12*T2^11 + 51*T1^6*T2^12 - 360*T1^7*T2^12 + 
     984*T1^8*T2^12 - 1335*T1^9*T2^12 + 984*T1^10*T2^12 - 360*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 544] -> 
  {(2 - 8*T + 19*T^2 - 31*T^3 + 37*T^4 - 31*T^5 + 19*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-33 + 131*T1 - 310*T1^2 + 505*T1^3 - 603*T1^4 + 505*T1^5 - 
     310*T1^6 + 131*T1^7 - 33*T1^8 + 131*T2 - 422*T1*T2 + 841*T1^2*T2 - 
     1081*T1^3*T2 + 886*T1^4*T2 - 202*T1^5*T2 - 281*T1^6*T2 + 409*T1^7*T2 - 
     262*T1^8*T2 + 99*T1^9*T2 - 310*T2^2 + 841*T1*T2^2 - 1526*T1^2*T2^2 + 
     1719*T1^3*T2^2 - 1203*T1^4*T2^2 + 58*T1^5*T2^2 + 165*T1^6*T2^2 - 
     29*T1^7*T2^2 - 234*T1^8*T2^2 + 233*T1^9*T2^2 - 158*T1^10*T2^2 + 
     505*T2^3 - 1081*T1*T2^3 + 1719*T1^2*T2^3 - 1440*T1^3*T2^3 + 
     485*T1^4*T2^3 + 874*T1^5*T2^3 - 162*T1^6*T2^3 - 285*T1^7*T2^3 + 
     594*T1^8*T2^3 - 295*T1^9*T2^3 + 103*T1^10*T2^3 + 133*T1^11*T2^3 - 
     603*T2^4 + 886*T1*T2^4 - 1203*T1^2*T2^4 + 485*T1^3*T2^4 + 
     189*T1^4*T2^4 - 744*T1^5*T2^4 - 1455*T1^6*T2^4 + 1376*T1^7*T2^4 - 
     859*T1^8*T2^4 - 259*T1^9*T2^4 + 453*T1^10*T2^4 - 490*T1^11*T2^4 - 
     11*T1^12*T2^4 + 505*T2^5 - 202*T1*T2^5 + 58*T1^2*T2^5 + 874*T1^3*T2^5 - 
     744*T1^4*T2^5 + 127*T1^5*T2^5 + 2869*T1^6*T2^5 - 1153*T1^7*T2^5 - 
     153*T1^8*T2^5 + 1187*T1^9*T2^5 - 498*T1^10*T2^5 + 94*T1^11*T2^5 + 
     502*T1^12*T2^5 - 115*T1^13*T2^5 - 310*T2^6 - 281*T1*T2^6 + 
     165*T1^2*T2^6 - 162*T1^3*T2^6 - 1455*T1^4*T2^6 + 2869*T1^5*T2^6 - 
     4569*T1^6*T2^6 + 11*T1^7*T2^6 + 1799*T1^8*T2^6 - 1817*T1^9*T2^6 + 
     131*T1^10*T2^6 + 370*T1^11*T2^6 - 627*T1^12*T2^6 - 121*T1^13*T2^6 + 
     146*T1^14*T2^6 + 131*T2^7 + 409*T1*T2^7 - 29*T1^2*T2^7 - 285*T1^3*T2^7 + 
     1376*T1^4*T2^7 - 1153*T1^5*T2^7 + 11*T1^6*T2^7 + 5040*T1^7*T2^7 - 
     4006*T1^8*T2^7 + 798*T1^9*T2^7 + 1541*T1^10*T2^7 - 1311*T1^11*T2^7 + 
     589*T1^12*T2^7 + 389*T1^13*T2^7 - 215*T1^14*T2^7 - 93*T1^15*T2^7 - 
     33*T2^8 - 262*T1*T2^8 - 234*T1^2*T2^8 + 594*T1^3*T2^8 - 859*T1^4*T2^8 - 
     153*T1^5*T2^8 + 1799*T1^6*T2^8 - 4006*T1^7*T2^8 + 108*T1^8*T2^8 + 
     3650*T1^9*T2^8 - 3163*T1^10*T2^8 + 973*T1^11*T2^8 + 481*T1^12*T2^8 - 
     810*T1^13*T2^8 + 190*T1^14*T2^8 + 250*T1^15*T2^8 + 31*T1^16*T2^8 + 
     99*T1*T2^9 + 233*T1^2*T2^9 - 295*T1^3*T2^9 - 259*T1^4*T2^9 + 
     1187*T1^5*T2^9 - 1817*T1^6*T2^9 + 798*T1^7*T2^9 + 3650*T1^8*T2^9 - 
     5396*T1^9*T2^9 + 1585*T1^10*T2^9 + 877*T1^11*T2^9 - 1500*T1^12*T2^9 + 
     615*T1^13*T2^9 + 123*T1^14*T2^9 - 391*T1^15*T2^9 - 125*T1^16*T2^9 - 
     158*T1^2*T2^10 + 103*T1^3*T2^10 + 453*T1^4*T2^10 - 498*T1^5*T2^10 + 
     131*T1^6*T2^10 + 1541*T1^7*T2^10 - 3163*T1^8*T2^10 + 1585*T1^9*T2^10 + 
     3205*T1^10*T2^10 - 3145*T1^11*T2^10 + 1717*T1^12*T2^10 + 
     34*T1^13*T2^10 - 339*T1^14*T2^10 + 263*T1^15*T2^10 + 298*T1^16*T2^10 + 
     133*T1^3*T2^11 - 490*T1^4*T2^11 + 94*T1^5*T2^11 + 370*T1^6*T2^11 - 
     1311*T1^7*T2^11 + 973*T1^8*T2^11 + 877*T1^9*T2^11 - 3145*T1^10*T2^11 + 
     693*T1^11*T2^11 + 620*T1^12*T2^11 - 1002*T1^13*T2^11 + 130*T1^14*T2^11 + 
     214*T1^15*T2^11 - 487*T1^16*T2^11 - 11*T1^4*T2^12 + 502*T1^5*T2^12 - 
     627*T1^6*T2^12 + 589*T1^7*T2^12 + 481*T1^8*T2^12 - 1500*T1^9*T2^12 + 
     1717*T1^10*T2^12 + 620*T1^11*T2^12 - 567*T1^12*T2^12 - 155*T1^13*T2^12 + 
     1029*T1^14*T2^12 - 874*T1^15*T2^12 + 581*T1^16*T2^12 - 115*T1^5*T2^13 - 
     121*T1^6*T2^13 + 389*T1^7*T2^13 - 810*T1^8*T2^13 + 615*T1^9*T2^13 + 
     34*T1^10*T2^13 - 1002*T1^11*T2^13 - 155*T1^12*T2^13 + 1224*T1^13*T2^13 - 
     1625*T1^14*T2^13 + 1063*T1^15*T2^13 - 487*T1^16*T2^13 + 146*T1^6*T2^14 - 
     215*T1^7*T2^14 + 190*T1^8*T2^14 + 123*T1^9*T2^14 - 339*T1^10*T2^14 + 
     130*T1^11*T2^14 + 1029*T1^12*T2^14 - 1625*T1^13*T2^14 + 
     1482*T1^14*T2^14 - 823*T1^15*T2^14 + 298*T1^16*T2^14 - 93*T1^7*T2^15 + 
     250*T1^8*T2^15 - 391*T1^9*T2^15 + 263*T1^10*T2^15 + 214*T1^11*T2^15 - 
     874*T1^12*T2^15 + 1063*T1^13*T2^15 - 823*T1^14*T2^15 + 410*T1^15*T2^15 - 
     125*T1^16*T2^15 + 31*T1^8*T2^16 - 125*T1^9*T2^16 + 298*T1^10*T2^16 - 
     487*T1^11*T2^16 + 581*T1^12*T2^16 - 487*T1^13*T2^16 + 298*T1^14*T2^16 - 
     125*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 545] -> 
  {(4 - 16*T + 32*T^2 - 39*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (2*(-128 + 508*T1 - 1008*T1^2 + 1224*T1^3 - 1008*T1^4 + 508*T1^5 - 
      128*T1^6 + 508*T2 - 1640*T1*T2 + 2506*T1^2*T2 - 1888*T1^3*T2 + 
      384*T1^4*T2 + 970*T1^5*T2 - 1000*T1^6*T2 + 380*T1^7*T2 - 1008*T2^2 + 
      2506*T1*T2^2 - 2456*T1^2*T2^2 - 332*T1^3*T2^2 + 2744*T1^4*T2^2 - 
      3276*T1^5*T2^2 + 1128*T1^6*T2^2 + 458*T1^7*T2^2 - 496*T1^8*T2^2 + 
      1224*T2^3 - 1888*T1*T2^3 - 332*T1^2*T2^3 + 4575*T1^3*T2^3 - 
      4888*T1^4*T2^3 + 2056*T1^5*T2^3 + 2349*T1^6*T2^3 - 2700*T1^7*T2^3 + 
      832*T1^8*T2^3 + 288*T1^9*T2^3 - 1008*T2^4 + 384*T1*T2^4 + 
      2744*T1^2*T2^4 - 4888*T1^3*T2^4 + 589*T1^4*T2^4 + 4292*T1^5*T2^4 - 
      6595*T1^6*T2^4 + 2600*T1^7*T2^4 + 952*T1^8*T2^4 - 1216*T1^9*T2^4 + 
      16*T1^10*T2^4 + 508*T2^5 + 970*T1*T2^5 - 3276*T1^2*T2^5 + 
      2056*T1^3*T2^5 + 4292*T1^4*T2^5 - 6651*T1^5*T2^5 + 3989*T1^6*T2^5 + 
      2244*T1^7*T2^5 - 3800*T1^8*T2^5 + 1396*T1^9*T2^5 + 458*T1^10*T2^5 - 
      132*T1^11*T2^5 - 128*T2^6 - 1000*T1*T2^6 + 1128*T1^2*T2^6 + 
      2349*T1^3*T2^6 - 6595*T1^4*T2^6 + 3989*T1^5*T2^6 + 1974*T1^6*T2^6 - 
      5995*T1^7*T2^6 + 3645*T1^8*T2^6 + 477*T1^9*T2^6 - 1432*T1^10*T2^6 + 
      280*T1^11*T2^6 + 64*T1^12*T2^6 + 380*T1*T2^7 + 458*T1^2*T2^7 - 
      2700*T1^3*T2^7 + 2600*T1^4*T2^7 + 2244*T1^5*T2^7 - 5995*T1^6*T2^7 + 
      4645*T1^7*T2^7 + 196*T1^8*T2^7 - 3256*T1^9*T2^7 + 1972*T1^10*T2^7 - 
      54*T1^11*T2^7 - 260*T1^12*T2^7 - 496*T1^2*T2^8 + 832*T1^3*T2^8 + 
      952*T1^4*T2^8 - 3800*T1^5*T2^8 + 3645*T1^6*T2^8 + 196*T1^7*T2^8 - 
      3539*T1^8*T2^8 + 3688*T1^9*T2^8 - 840*T1^10*T2^8 - 768*T1^11*T2^8 + 
      528*T1^12*T2^8 + 288*T1^3*T2^9 - 1216*T1^4*T2^9 + 1396*T1^5*T2^9 + 
      477*T1^6*T2^9 - 3256*T1^7*T2^9 + 3688*T1^8*T2^9 - 1749*T1^9*T2^9 - 
      972*T1^10*T2^9 + 1504*T1^11*T2^9 - 648*T1^12*T2^9 + 16*T1^4*T2^10 + 
      458*T1^5*T2^10 - 1432*T1^6*T2^10 + 1972*T1^7*T2^10 - 840*T1^8*T2^10 - 
      972*T1^9*T2^10 + 2152*T1^10*T2^10 - 1590*T1^11*T2^10 + 
      528*T1^12*T2^10 - 132*T1^5*T2^11 + 280*T1^6*T2^11 - 54*T1^7*T2^11 - 
      768*T1^8*T2^11 + 1504*T1^9*T2^11 - 1590*T1^10*T2^11 + 920*T1^11*T2^11 - 
      260*T1^12*T2^11 + 64*T1^6*T2^12 - 260*T1^7*T2^12 + 528*T1^8*T2^12 - 
      648*T1^9*T2^12 + 528*T1^10*T2^12 - 260*T1^11*T2^12 + 64*T1^12*T2^12))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 546] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 774*T1 - 2016*T1^2 + 2667*T1^3 - 2016*T1^4 + 774*T1^5 - 111*T1^6 + 
     774*T2 - 4819*T1*T2 + 10014*T1^2*T2 - 8030*T1^3*T2 + 34*T1^4*T2 + 
     5226*T1^5*T2 - 3307*T1^6*T2 + 585*T1^7*T2 - 2016*T2^2 + 10014*T1*T2^2 - 
     9428*T1^2*T2^2 - 18030*T1^3*T2^2 + 42382*T1^4*T2^2 - 35190*T1^5*T2^2 + 
     7732*T1^6*T2^2 + 3084*T1^7*T2^2 - 1026*T1^8*T2^2 + 2667*T2^3 - 
     8030*T1*T2^3 - 18030*T1^2*T2^3 + 79002*T1^3*T2^3 - 82001*T1^4*T2^3 + 
     15907*T1^5*T2^3 + 41154*T1^6*T2^3 - 26445*T1^7*T2^3 + 2302*T1^8*T2^3 + 
     696*T1^9*T2^3 - 2016*T2^4 + 34*T1*T2^4 + 42382*T1^2*T2^4 - 
     82001*T1^3*T2^4 - 973*T1^4*T2^4 + 116649*T1^5*T2^4 - 126085*T1^6*T2^4 + 
     29251*T1^7*T2^4 + 14296*T1^8*T2^4 - 4628*T1^9*T2^4 - 36*T1^10*T2^4 + 
     774*T2^5 + 5226*T1*T2^5 - 35190*T1^2*T2^5 + 15907*T1^3*T2^5 + 
     116649*T1^4*T2^5 - 178837*T1^5*T2^5 + 79303*T1^6*T2^5 + 
     57524*T1^7*T2^5 - 55313*T1^8*T2^5 + 8205*T1^9*T2^5 + 1446*T1^10*T2^5 - 
     171*T1^11*T2^5 - 111*T2^6 - 3307*T1*T2^6 + 7732*T1^2*T2^6 + 
     41154*T1^3*T2^6 - 126085*T1^4*T2^6 + 79303*T1^5*T2^6 + 71616*T1^6*T2^6 - 
     144703*T1^7*T2^6 + 62713*T1^8*T2^6 + 7182*T1^9*T2^6 - 8192*T1^10*T2^6 + 
     851*T1^11*T2^6 + 51*T1^12*T2^6 + 585*T1*T2^7 + 3084*T1^2*T2^7 - 
     26445*T1^3*T2^7 + 29251*T1^4*T2^7 + 57524*T1^5*T2^7 - 144703*T1^6*T2^7 + 
     113437*T1^7*T2^7 - 1601*T1^8*T2^7 - 41969*T1^9*T2^7 + 16950*T1^10*T2^7 - 
     696*T1^11*T2^7 - 360*T1^12*T2^7 - 1026*T1^2*T2^8 + 2302*T1^3*T2^8 + 
     14296*T1^4*T2^8 - 55313*T1^5*T2^8 + 62713*T1^6*T2^8 - 1601*T1^7*T2^8 - 
     62399*T1^8*T2^8 + 55939*T1^9*T2^8 - 13790*T1^10*T2^8 - 2360*T1^11*T2^8 + 
     954*T1^12*T2^8 + 696*T1^3*T2^9 - 4628*T1^4*T2^9 + 8205*T1^5*T2^9 + 
     7182*T1^6*T2^9 - 41969*T1^7*T2^9 + 55939*T1^8*T2^9 - 30666*T1^9*T2^9 - 
     210*T1^10*T2^9 + 5704*T1^11*T2^9 - 1275*T1^12*T2^9 - 36*T1^4*T2^10 + 
     1446*T1^5*T2^10 - 8192*T1^6*T2^10 + 16950*T1^7*T2^10 - 
     13790*T1^8*T2^10 - 210*T1^9*T2^10 + 8968*T1^10*T2^10 - 
     5484*T1^11*T2^10 + 954*T1^12*T2^10 - 171*T1^5*T2^11 + 851*T1^6*T2^11 - 
     696*T1^7*T2^11 - 2360*T1^8*T2^11 + 5704*T1^9*T2^11 - 5484*T1^10*T2^11 + 
     2363*T1^11*T2^11 - 360*T1^12*T2^11 + 51*T1^6*T2^12 - 360*T1^7*T2^12 + 
     954*T1^8*T2^12 - 1275*T1^9*T2^12 + 954*T1^10*T2^12 - 360*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 547] -> 
  {-((5 - 25*T + 53*T^2 - 67*T^3 + 53*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((-645 + 3195*T1 - 6722*T1^2 + 8481*T1^3 - 6722*T1^4 + 3195*T1^5 - 
      645*T1^6 + 3195*T2 - 13281*T1*T2 + 20668*T1^2*T2 - 15380*T1^3*T2 - 
      380*T1^4*T2 + 10918*T1^5*T2 - 9531*T1^6*T2 + 2570*T1^7*T2 - 6722*T2^2 + 
      20668*T1*T2^2 - 11381*T1^2*T2^2 - 24051*T1^3*T2^2 + 55303*T1^4*T2^2 - 
      46311*T1^5*T2^2 + 14059*T1^6*T2^2 + 7418*T1^7*T2^2 - 4072*T1^8*T2^2 + 
      8481*T2^3 - 15380*T1*T2^3 - 24051*T1^2*T2^3 + 72646*T1^3*T2^3 - 
      72496*T1^4*T2^3 + 8114*T1^5*T2^3 + 41656*T1^6*T2^3 - 37566*T1^7*T2^3 + 
      3120*T1^8*T2^3 + 3456*T1^9*T2^3 - 6722*T2^4 - 380*T1*T2^4 + 
      55303*T1^2*T2^4 - 72496*T1^3*T2^4 + 13401*T1^4*T2^4 + 73989*T1^5*T2^4 - 
      76419*T1^6*T2^4 + 17284*T1^7*T2^4 + 27733*T1^8*T2^4 - 10130*T1^9*T2^4 - 
      1422*T1^10*T2^4 + 3195*T2^5 + 10918*T1*T2^5 - 46311*T1^2*T2^5 + 
      8114*T1^3*T2^5 + 73989*T1^4*T2^5 - 106985*T1^5*T2^5 + 27835*T1^6*T2^5 + 
      50086*T1^7*T2^5 - 54156*T1^8*T2^5 + 2184*T1^9*T2^5 + 6668*T1^10*T2^5 + 
      70*T1^11*T2^5 - 645*T2^6 - 9531*T1*T2^6 + 14059*T1^2*T2^6 + 
      41656*T1^3*T2^6 - 76419*T1^4*T2^6 + 27835*T1^5*T2^6 + 72468*T1^6*T2^6 - 
      91871*T1^7*T2^6 + 33695*T1^8*T2^6 + 23656*T1^9*T2^6 - 
      12401*T1^10*T2^6 - 781*T1^11*T2^6 + 105*T1^12*T2^6 + 2570*T1*T2^7 + 
      7418*T1^2*T2^7 - 37566*T1^3*T2^7 + 17284*T1^4*T2^7 + 50086*T1^5*T2^7 - 
      91871*T1^6*T2^7 + 42949*T1^7*T2^7 + 26183*T1^8*T2^7 - 44986*T1^9*T2^7 + 
      10929*T1^10*T2^7 + 3168*T1^11*T2^7 - 555*T1^12*T2^7 - 4072*T1^2*T2^8 + 
      3120*T1^3*T2^8 + 27733*T1^4*T2^8 - 54156*T1^5*T2^8 + 33695*T1^6*T2^8 + 
      26183*T1^7*T2^8 - 56125*T1^8*T2^8 + 35624*T1^9*T2^8 + 163*T1^10*T2^8 - 
      6630*T1^11*T2^8 + 1228*T1^12*T2^8 + 3456*T1^3*T2^9 - 10130*T1^4*T2^9 + 
      2184*T1^5*T2^9 + 23656*T1^6*T2^9 - 44986*T1^7*T2^9 + 35624*T1^8*T2^9 - 
      7334*T1^9*T2^9 - 11331*T1^10*T2^9 + 8370*T1^11*T2^9 - 1569*T1^12*T2^9 - 
      1422*T1^4*T2^10 + 6668*T1^5*T2^10 - 12401*T1^6*T2^10 + 
      10929*T1^7*T2^10 + 163*T1^8*T2^10 - 11331*T1^9*T2^10 + 
      13039*T1^10*T2^10 - 6582*T1^11*T2^10 + 1228*T1^12*T2^10 + 
      70*T1^5*T2^11 - 781*T1^6*T2^11 + 3168*T1^7*T2^11 - 6630*T1^8*T2^11 + 
      8370*T1^9*T2^11 - 6582*T1^10*T2^11 + 2969*T1^11*T2^11 - 
      555*T1^12*T2^11 + 105*T1^6*T2^12 - 555*T1^7*T2^12 + 1228*T1^8*T2^12 - 
      1569*T1^9*T2^12 + 1228*T1^10*T2^12 - 555*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 548] -> 
  {-((4 - 14*T + 23*T^2 - 27*T^3 + 23*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((-320 + 1108*T1 - 1808*T1^2 + 2120*T1^3 - 1808*T1^4 + 1108*T1^5 - 
      320*T1^6 + 1108*T2 - 2958*T1*T2 + 3218*T1^2*T2 - 2370*T1^3*T2 + 
      430*T1^4*T2 + 1146*T1^5*T2 - 1950*T1^6*T2 + 884*T1^7*T2 - 1808*T2^2 + 
      3218*T1*T2^2 - 669*T1^2*T2^2 - 1810*T1^3*T2^2 + 4295*T1^4*T2^2 - 
      4202*T1^5*T2^2 + 2827*T1^6*T2^2 + 642*T1^7*T2^2 - 1072*T1^8*T2^2 + 
      2120*T2^3 - 2370*T1*T2^3 - 1810*T1^2*T2^3 + 2794*T1^3*T2^3 - 
      3322*T1^4*T2^3 + 790*T1^5*T2^3 + 924*T1^6*T2^3 - 3466*T1^7*T2^3 + 
      878*T1^8*T2^3 + 824*T1^9*T2^3 - 1808*T2^4 + 430*T1*T2^4 + 
      4295*T1^2*T2^4 - 3322*T1^3*T2^4 + 2736*T1^4*T2^4 + 60*T1^5*T2^4 - 
      100*T1^6*T2^4 + 1106*T1^7*T2^4 + 2175*T1^8*T2^4 - 1698*T1^9*T2^4 - 
      336*T1^10*T2^4 + 1108*T2^5 + 1146*T1*T2^5 - 4202*T1^2*T2^5 + 
      790*T1^3*T2^5 + 60*T1^4*T2^5 - 1159*T1^5*T2^5 - 811*T1^6*T2^5 + 
      589*T1^7*T2^5 - 2690*T1^8*T2^5 + 398*T1^9*T2^5 + 1202*T1^10*T2^5 - 
      12*T1^11*T2^5 - 320*T2^6 - 1950*T1*T2^6 + 2827*T1^2*T2^6 + 
      924*T1^3*T2^6 - 100*T1^4*T2^6 - 811*T1^5*T2^6 + 2412*T1^6*T2^6 - 
      1013*T1^7*T2^6 + 1042*T1^8*T2^6 + 1552*T1^9*T2^6 - 1709*T1^10*T2^6 - 
      158*T1^11*T2^6 + 64*T1^12*T2^6 + 884*T1*T2^7 + 642*T1^2*T2^7 - 
      3466*T1^3*T2^7 + 1106*T1^4*T2^7 + 589*T1^5*T2^7 - 1013*T1^6*T2^7 - 
      665*T1^7*T2^7 + 1118*T1^8*T2^7 - 2374*T1^9*T2^7 + 1134*T1^10*T2^7 + 
      698*T1^11*T2^7 - 236*T1^12*T2^7 - 1072*T1^2*T2^8 + 878*T1^3*T2^8 + 
      2175*T1^4*T2^8 - 2690*T1^5*T2^8 + 1042*T1^6*T2^8 + 1118*T1^7*T2^8 - 
      1794*T1^8*T2^8 + 1738*T1^9*T2^8 + 55*T1^10*T2^8 - 1250*T1^11*T2^8 + 
      400*T1^12*T2^8 + 824*T1^3*T2^9 - 1698*T1^4*T2^9 + 398*T1^5*T2^9 + 
      1552*T1^6*T2^9 - 2374*T1^7*T2^9 + 1738*T1^8*T2^9 - 318*T1^9*T2^9 - 
      1258*T1^10*T2^9 + 1550*T1^11*T2^9 - 472*T1^12*T2^9 - 336*T1^4*T2^10 + 
      1202*T1^5*T2^10 - 1709*T1^6*T2^10 + 1134*T1^7*T2^10 + 55*T1^8*T2^10 - 
      1258*T1^9*T2^10 + 1787*T1^10*T2^10 - 1374*T1^11*T2^10 + 
      400*T1^12*T2^10 - 12*T1^5*T2^11 - 158*T1^6*T2^11 + 698*T1^7*T2^11 - 
      1250*T1^8*T2^11 + 1550*T1^9*T2^11 - 1374*T1^10*T2^11 + 
      850*T1^11*T2^11 - 236*T1^12*T2^11 + 64*T1^6*T2^12 - 236*T1^7*T2^12 + 
      400*T1^8*T2^12 - 472*T1^9*T2^12 + 400*T1^10*T2^12 - 236*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 549] -> {-((8 - 28*T + 39*T^2 - 28*T^3 + 8*T^4)/T^2), 
   (-2*(-800 + 2768*T1 - 3832*T1^2 + 2768*T1^3 - 800*T1^4 + 2768*T2 - 
      7720*T1*T2 + 6836*T1^2*T2 - 668*T1^3*T2 - 3688*T1^4*T2 + 1872*T1^5*T2 - 
      3832*T2^2 + 6836*T1*T2^2 + 2593*T1^2*T2^2 - 13148*T1^3*T2^2 + 
      12265*T1^4*T2^2 - 1900*T1^5*T2^2 - 1336*T1^6*T2^2 + 2768*T2^3 - 
      668*T1*T2^3 - 13148*T1^2*T2^3 + 17828*T1^3*T2^3 - 6658*T1^4*T2^3 - 
      6596*T1^5*T2^3 + 4372*T1^6*T2^3 + 80*T1^7*T2^3 - 800*T2^4 - 
      3688*T1*T2^4 + 12265*T1^2*T2^4 - 6658*T1^3*T2^4 - 8082*T1^4*T2^4 + 
      14062*T1^5*T2^4 - 4695*T1^6*T2^4 - 1000*T1^7*T2^4 + 224*T1^8*T2^4 + 
      1872*T1*T2^5 - 1900*T1^2*T2^5 - 6596*T1^3*T2^5 + 14062*T1^4*T2^5 - 
      10424*T1^5*T2^5 - 44*T1^6*T2^5 + 3140*T1^7*T2^5 - 816*T1^8*T2^5 - 
      1336*T1^2*T2^6 + 4372*T1^3*T2^6 - 4695*T1^4*T2^6 - 44*T1^5*T2^6 + 
      4977*T1^6*T2^6 - 4364*T1^7*T2^6 + 1160*T1^8*T2^6 + 80*T1^3*T2^7 - 
      1000*T1^4*T2^7 + 3140*T1^5*T2^7 - 4364*T1^6*T2^7 + 3032*T1^7*T2^7 - 
      816*T1^8*T2^7 + 224*T1^4*T2^8 - 816*T1^5*T2^8 + 1160*T1^6*T2^8 - 
      816*T1^7*T2^8 + 224*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 550] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-23 + 149*T1 - 401*T1^2 + 561*T1^3 - 401*T1^4 + 149*T1^5 - 23*T1^6 + 
      149*T2 - 868*T1*T2 + 1970*T1^2*T2 - 1946*T1^3*T2 + 238*T1^4*T2 + 
      722*T1^5*T2 - 478*T1^6*T2 + 97*T1^7*T2 - 401*T2^2 + 1970*T1*T2^2 - 
      3034*T1^2*T2^2 - 454*T1^3*T2^2 + 6336*T1^4*T2^2 - 5494*T1^5*T2^2 + 
      1586*T1^6*T2^2 + 150*T1^7*T2^2 - 121*T1^8*T2^2 + 561*T2^3 - 
      1946*T1*T2^3 - 454*T1^2*T2^3 + 10983*T1^3*T2^3 - 17893*T1^4*T2^3 + 
      6215*T1^5*T2^3 + 4137*T1^6*T2^3 - 3919*T1^7*T2^3 + 966*T1^8*T2^3 - 
      27*T1^9*T2^3 - 401*T2^4 + 238*T1*T2^4 + 6336*T1^2*T2^4 - 
      17893*T1^3*T2^4 + 12611*T1^4*T2^4 + 15761*T1^5*T2^4 - 24013*T1^6*T2^4 + 
      10429*T1^7*T2^4 - 426*T1^8*T2^4 - 854*T1^9*T2^4 + 159*T1^10*T2^4 + 
      149*T2^5 + 722*T1*T2^5 - 5494*T1^2*T2^5 + 6215*T1^3*T2^5 + 
      15761*T1^4*T2^5 - 45864*T1^5*T2^5 + 34626*T1^6*T2^5 - 1494*T1^7*T2^5 - 
      9465*T1^8*T2^5 + 4271*T1^9*T2^5 - 318*T1^10*T2^5 - 111*T1^11*T2^5 - 
      23*T2^6 - 478*T1*T2^6 + 1586*T1^2*T2^6 + 4137*T1^3*T2^6 - 
      24013*T1^4*T2^6 + 34626*T1^5*T2^6 - 4140*T1^6*T2^6 - 31578*T1^7*T2^6 + 
      24553*T1^8*T2^6 - 5229*T1^9*T2^6 - 1462*T1^10*T2^6 + 562*T1^11*T2^6 + 
      25*T1^12*T2^6 + 97*T1*T2^7 + 150*T1^2*T2^7 - 3919*T1^3*T2^7 + 
      10429*T1^4*T2^7 - 1494*T1^5*T2^7 - 31578*T1^6*T2^7 + 48912*T1^7*T2^7 - 
      18749*T1^8*T2^7 - 5251*T1^9*T2^7 + 5846*T1^10*T2^7 - 890*T1^11*T2^7 - 
      163*T1^12*T2^7 - 121*T1^2*T2^8 + 966*T1^3*T2^8 - 426*T1^4*T2^8 - 
      9465*T1^5*T2^8 + 24553*T1^6*T2^8 - 18749*T1^7*T2^8 - 12071*T1^8*T2^8 + 
      18857*T1^9*T2^8 - 7188*T1^10*T2^8 - 126*T1^11*T2^8 + 439*T1^12*T2^8 - 
      27*T1^3*T2^9 - 854*T1^4*T2^9 + 4271*T1^5*T2^9 - 5229*T1^6*T2^9 - 
      5251*T1^7*T2^9 + 18857*T1^8*T2^9 - 12075*T1^9*T2^9 + 806*T1^10*T2^9 + 
      2058*T1^11*T2^9 - 615*T1^12*T2^9 + 159*T1^4*T2^10 - 318*T1^5*T2^10 - 
      1462*T1^6*T2^10 + 5846*T1^7*T2^10 - 7188*T1^8*T2^10 + 806*T1^9*T2^10 + 
      3158*T1^10*T2^10 - 2138*T1^11*T2^10 + 439*T1^12*T2^10 - 
      111*T1^5*T2^11 + 562*T1^6*T2^11 - 890*T1^7*T2^11 - 126*T1^8*T2^11 + 
      2058*T1^9*T2^11 - 2138*T1^10*T2^11 + 952*T1^11*T2^11 - 
      163*T1^12*T2^11 + 25*T1^6*T2^12 - 163*T1^7*T2^12 + 439*T1^8*T2^12 - 
      615*T1^9*T2^12 + 439*T1^10*T2^12 - 163*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 551] -> 
  {-((6 - 26*T + 39*T^2 - 26*T^3 + 6*T^4)/T^2), 
   -((-747 + 3211*T1 - 4791*T1^2 + 3211*T1^3 - 747*T1^4 + 3211*T2 - 
      11540*T1*T2 + 10864*T1^2*T2 + 724*T1^3*T2 - 6548*T1^4*T2 + 
      2275*T1^5*T2 - 4791*T2^2 + 10864*T1*T2^2 + 8969*T1^2*T2^2 - 
      33109*T1^3*T2^2 + 24413*T1^4*T2^2 - 1304*T1^5*T2^2 - 1983*T1^6*T2^2 + 
      3211*T2^3 + 724*T1*T2^3 - 33109*T1^2*T2^3 + 43430*T1^3*T2^3 - 
      7504*T1^4*T2^3 - 18913*T1^5*T2^3 + 6808*T1^6*T2^3 + 403*T1^7*T2^3 - 
      747*T2^4 - 6548*T1*T2^4 + 24413*T1^2*T2^4 - 7504*T1^3*T2^4 - 
      31104*T1^4*T2^4 + 33368*T1^5*T2^4 - 5123*T1^6*T2^4 - 2180*T1^7*T2^4 + 
      117*T1^8*T2^4 + 2275*T1*T2^5 - 1304*T1^2*T2^5 - 18913*T1^3*T2^5 + 
      33368*T1^4*T2^5 - 17566*T1^5*T2^5 - 4717*T1^6*T2^5 + 4780*T1^7*T2^5 - 
      533*T1^8*T2^5 - 1983*T1^2*T2^6 + 6808*T1^3*T2^6 - 5123*T1^4*T2^6 - 
      4717*T1^5*T2^6 + 10321*T1^6*T2^6 - 5360*T1^7*T2^6 + 825*T1^8*T2^6 + 
      403*T1^3*T2^7 - 2180*T1^4*T2^7 + 4780*T1^5*T2^7 - 5360*T1^6*T2^7 + 
      2812*T1^7*T2^7 - 533*T1^8*T2^7 + 117*T1^4*T2^8 - 533*T1^5*T2^8 + 
      825*T1^6*T2^8 - 533*T1^7*T2^8 + 117*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 552] -> 
  {(2 - 13*T + 31*T^2 - 39*T^3 + 31*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 215*T1 - 513*T1^2 + 645*T1^3 - 513*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2280*T1^2*T2 - 1666*T1^3*T2 + 154*T1^4*T2 + 
     1136*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 513*T2^2 + 2280*T1*T2^2 - 
     1333*T1^2*T2^2 - 4713*T1^3*T2^2 + 8603*T1^4*T2^2 - 7937*T1^5*T2^2 + 
     2263*T1^6*T2^2 + 668*T1^7*T2^2 - 265*T1^8*T2^2 + 645*T2^3 - 
     1666*T1*T2^3 - 4713*T1^2*T2^3 + 15667*T1^3*T2^3 - 13829*T1^4*T2^3 + 
     4085*T1^5*T2^3 + 7529*T1^6*T2^3 - 5922*T1^7*T2^3 + 570*T1^8*T2^3 + 
     177*T1^9*T2^3 - 513*T2^4 + 154*T1*T2^4 + 8603*T1^2*T2^4 - 
     13829*T1^3*T2^4 - 2624*T1^4*T2^4 + 17798*T1^5*T2^4 - 21796*T1^6*T2^4 + 
     5905*T1^7*T2^4 + 3109*T1^8*T2^4 - 1042*T1^9*T2^4 - 17*T1^10*T2^4 + 
     215*T2^5 + 1136*T1*T2^5 - 7937*T1^2*T2^5 + 4085*T1^3*T2^5 + 
     17798*T1^4*T2^5 - 22832*T1^5*T2^5 + 10552*T1^6*T2^5 + 10141*T1^7*T2^5 - 
     10189*T1^8*T2^5 + 1332*T1^9*T2^5 + 408*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 2263*T1^2*T2^6 + 7529*T1^3*T2^6 - 
     21796*T1^4*T2^6 + 10552*T1^5*T2^6 + 9960*T1^6*T2^6 - 20128*T1^7*T2^6 + 
     8322*T1^8*T2^6 + 2563*T1^9*T2^6 - 1937*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 668*T1^2*T2^7 - 5922*T1^3*T2^7 + 
     5905*T1^4*T2^7 + 10141*T1^5*T2^7 - 20128*T1^6*T2^7 + 13256*T1^7*T2^7 + 
     2484*T1^8*T2^7 - 8369*T1^9*T2^7 + 3347*T1^10*T2^7 - 60*T1^11*T2^7 - 
     97*T1^12*T2^7 - 265*T1^2*T2^8 + 570*T1^3*T2^8 + 3109*T1^4*T2^8 - 
     10189*T1^5*T2^8 + 8322*T1^6*T2^8 + 2484*T1^7*T2^8 - 10850*T1^8*T2^8 + 
     9545*T1^9*T2^8 - 2385*T1^10*T2^8 - 626*T1^11*T2^8 + 231*T1^12*T2^8 + 
     177*T1^3*T2^9 - 1042*T1^4*T2^9 + 1332*T1^5*T2^9 + 2563*T1^6*T2^9 - 
     8369*T1^7*T2^9 + 9545*T1^8*T2^9 - 5575*T1^9*T2^9 + 123*T1^10*T2^9 + 
     1194*T1^11*T2^9 - 291*T1^12*T2^9 - 17*T1^4*T2^10 + 408*T1^5*T2^10 - 
     1937*T1^6*T2^10 + 3347*T1^7*T2^10 - 2385*T1^8*T2^10 + 123*T1^9*T2^10 + 
     1659*T1^10*T2^10 - 1204*T1^11*T2^10 + 231*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 60*T1^7*T2^11 - 626*T1^8*T2^11 + 1194*T1^9*T2^11 - 
     1204*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 231*T1^8*T2^12 - 291*T1^9*T2^12 + 231*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 553] -> 
  {(2 - 10*T + 26*T^2 - 41*T^3 + 47*T^4 - 41*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-49 + 244*T1 - 633*T1^2 + 996*T1^3 - 1141*T1^4 + 996*T1^5 - 
     633*T1^6 + 244*T1^7 - 49*T1^8 + 244*T2 - 1012*T1*T2 + 2140*T1^2*T2 - 
     2332*T1^3*T2 + 1544*T1^4*T2 - 216*T1^5*T2 - 992*T1^6*T2 + 1420*T1^7*T2 - 
     772*T1^8*T2 + 204*T1^9*T2 - 633*T2^2 + 2140*T1*T2^2 - 3535*T1^2*T2^2 + 
     1795*T1^3*T2^2 + 595*T1^4*T2^2 - 2391*T1^5*T2^2 + 2779*T1^6*T2^2 - 
     1429*T1^7*T2^2 - 1039*T1^8*T2^2 + 1100*T1^9*T2^2 - 425*T1^10*T2^2 + 
     996*T2^3 - 2332*T1*T2^3 + 1795*T1^2*T2^3 + 3980*T1^3*T2^3 - 
     5943*T1^4*T2^3 + 4848*T1^5*T2^3 - 1550*T1^6*T2^3 - 2545*T1^7*T2^3 + 
     5198*T1^8*T2^3 - 1481*T1^9*T2^3 - 392*T1^10*T2^3 + 504*T1^11*T2^3 - 
     1141*T2^4 + 1544*T1*T2^4 + 595*T1^2*T2^4 - 5943*T1^3*T2^4 - 
     493*T1^4*T2^4 + 7678*T1^5*T2^4 - 12547*T1^6*T2^4 + 13242*T1^7*T2^4 - 
     8993*T1^8*T2^4 - 1679*T1^9*T2^4 + 2171*T1^10*T2^4 - 576*T1^11*T2^4 - 
     389*T1^12*T2^4 + 996*T2^5 - 216*T1*T2^5 - 2391*T1^2*T2^5 + 
     4848*T1^3*T2^5 + 7678*T1^4*T2^5 - 11640*T1^5*T2^5 + 9864*T1^6*T2^5 - 
     4234*T1^7*T2^5 - 2958*T1^8*T2^5 + 10662*T1^9*T2^5 - 2210*T1^10*T2^5 - 
     1083*T1^11*T2^5 + 1064*T1^12*T2^5 + 176*T1^13*T2^5 - 633*T2^6 - 
     992*T1*T2^6 + 2779*T1^2*T2^6 - 1550*T1^3*T2^6 - 12547*T1^4*T2^6 + 
     9864*T1^5*T2^6 - 4511*T1^6*T2^6 - 363*T1^7*T2^6 + 3461*T1^8*T2^6 - 
     4892*T1^9*T2^6 - 6467*T1^10*T2^6 + 3858*T1^11*T2^6 - 621*T1^12*T2^6 - 
     832*T1^13*T2^6 - 9*T1^14*T2^6 + 244*T2^7 + 1420*T1*T2^7 - 
     1429*T1^2*T2^7 - 2545*T1^3*T2^7 + 13242*T1^4*T2^7 - 4234*T1^5*T2^7 - 
     363*T1^6*T2^7 + 697*T1^7*T2^7 + 267*T1^8*T2^7 - 1280*T1^9*T2^7 + 
     8548*T1^10*T2^7 - 62*T1^11*T2^7 - 2479*T1^12*T2^7 + 1535*T1^13*T2^7 + 
     220*T1^14*T2^7 - 36*T1^15*T2^7 - 49*T2^8 - 772*T1*T2^8 - 
     1039*T1^2*T2^8 + 5198*T1^3*T2^8 - 8993*T1^4*T2^8 - 2958*T1^5*T2^8 + 
     3461*T1^6*T2^8 + 267*T1^7*T2^8 - 1476*T1^8*T2^8 + 1125*T1^9*T2^8 - 
     2849*T1^10*T2^8 - 6246*T1^11*T2^8 + 4595*T1^12*T2^8 - 830*T1^13*T2^8 - 
     799*T1^14*T2^8 + 108*T1^15*T2^8 + 15*T1^16*T2^8 + 204*T1*T2^9 + 
     1100*T1^2*T2^9 - 1481*T1^3*T2^9 - 1679*T1^4*T2^9 + 10662*T1^5*T2^9 - 
     4892*T1^6*T2^9 - 1280*T1^7*T2^9 + 1125*T1^8*T2^9 + 695*T1^9*T2^9 - 
     2197*T1^10*T2^9 + 7890*T1^11*T2^9 - 2642*T1^12*T2^9 - 1613*T1^13*T2^9 + 
     1483*T1^14*T2^9 - 100*T1^15*T2^9 - 76*T1^16*T2^9 - 425*T1^2*T2^10 - 
     392*T1^3*T2^10 + 2171*T1^4*T2^10 - 2210*T1^5*T2^10 - 6467*T1^6*T2^10 + 
     8548*T1^7*T2^10 - 2849*T1^8*T2^10 - 2197*T1^9*T2^10 + 5123*T1^10*T2^10 - 
     6208*T1^11*T2^10 - 387*T1^12*T2^10 + 3198*T1^13*T2^10 - 
     1229*T1^14*T2^10 - 232*T1^15*T2^10 + 199*T1^16*T2^10 + 504*T1^3*T2^11 - 
     576*T1^4*T2^11 - 1083*T1^5*T2^11 + 3858*T1^6*T2^11 - 62*T1^7*T2^11 - 
     6246*T1^8*T2^11 + 7890*T1^9*T2^11 - 6208*T1^10*T2^11 + 
     2436*T1^11*T2^11 + 2922*T1^12*T2^11 - 3200*T1^13*T2^11 + 
     225*T1^14*T2^11 + 704*T1^15*T2^11 - 316*T1^16*T2^11 - 389*T1^4*T2^12 + 
     1064*T1^5*T2^12 - 621*T1^6*T2^12 - 2479*T1^7*T2^12 + 4595*T1^8*T2^12 - 
     2642*T1^9*T2^12 - 387*T1^10*T2^12 + 2922*T1^11*T2^12 - 
     3905*T1^12*T2^12 + 1785*T1^13*T2^12 + 955*T1^14*T2^12 - 
     1056*T1^15*T2^12 + 363*T1^16*T2^12 + 176*T1^5*T2^13 - 832*T1^6*T2^13 + 
     1535*T1^7*T2^13 - 830*T1^8*T2^13 - 1613*T1^9*T2^13 + 3198*T1^10*T2^13 - 
     3200*T1^11*T2^13 + 1785*T1^12*T2^13 + 388*T1^13*T2^13 - 
     1741*T1^14*T2^13 + 1108*T1^15*T2^13 - 316*T1^16*T2^13 - 9*T1^6*T2^14 + 
     220*T1^7*T2^14 - 799*T1^8*T2^14 + 1483*T1^9*T2^14 - 1229*T1^10*T2^14 + 
     225*T1^11*T2^14 + 955*T1^12*T2^14 - 1741*T1^13*T2^14 + 
     1697*T1^14*T2^14 - 820*T1^15*T2^14 + 199*T1^16*T2^14 - 36*T1^7*T2^15 + 
     108*T1^8*T2^15 - 100*T1^9*T2^15 - 232*T1^10*T2^15 + 704*T1^11*T2^15 - 
     1056*T1^12*T2^15 + 1108*T1^13*T2^15 - 820*T1^14*T2^15 + 
     348*T1^15*T2^15 - 76*T1^16*T2^15 + 15*T1^8*T2^16 - 76*T1^9*T2^16 + 
     199*T1^10*T2^16 - 316*T1^11*T2^16 + 363*T1^12*T2^16 - 316*T1^13*T2^16 + 
     199*T1^14*T2^16 - 76*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 554] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((-25 + 187*T1 - 559*T1^2 + 807*T1^3 - 559*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3234*T1^2*T2 - 3206*T1^3*T2 + 94*T1^4*T2 + 
      1434*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 559*T2^2 + 3234*T1*T2^2 - 
      5633*T1^2*T2^2 - 1531*T1^3*T2^2 + 13459*T1^4*T2^2 - 10531*T1^5*T2^2 + 
      2107*T1^6*T2^2 + 534*T1^7*T2^2 - 199*T1^8*T2^2 + 807*T2^3 - 
      3206*T1*T2^3 - 1531*T1^2*T2^3 + 25657*T1^3*T2^3 - 40077*T1^4*T2^3 + 
      10773*T1^5*T2^3 + 11287*T1^6*T2^3 - 7606*T1^7*T2^3 + 1294*T1^8*T2^3 + 
      27*T1^9*T2^3 - 559*T2^4 + 94*T1*T2^4 + 13459*T1^2*T2^4 - 
      40077*T1^3*T2^4 + 24164*T1^4*T2^4 + 45506*T1^5*T2^4 - 57856*T1^6*T2^4 + 
      20373*T1^7*T2^4 + 409*T1^8*T2^4 - 1406*T1^9*T2^4 + 161*T1^10*T2^4 + 
      187*T2^5 + 1434*T1*T2^5 - 10531*T1^2*T2^5 + 10773*T1^3*T2^5 + 
      45506*T1^4*T2^5 - 119222*T1^5*T2^5 + 83578*T1^6*T2^5 - 1069*T1^7*T2^5 - 
      20877*T1^8*T2^5 + 7244*T1^9*T2^5 - 366*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 2107*T1^2*T2^6 + 11287*T1^3*T2^6 - 
      57856*T1^4*T2^6 + 83578*T1^5*T2^6 - 4956*T1^6*T2^6 - 80582*T1^7*T2^6 + 
      58874*T1^8*T2^6 - 10523*T1^9*T2^6 - 2213*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 534*T1^2*T2^7 - 7606*T1^3*T2^7 + 
      20373*T1^4*T2^7 - 1069*T1^5*T2^7 - 80582*T1^6*T2^7 + 122218*T1^7*T2^7 - 
      47644*T1^8*T2^7 - 11277*T1^9*T2^7 + 10169*T1^10*T2^7 - 
      1266*T1^11*T2^7 - 173*T1^12*T2^7 - 199*T1^2*T2^8 + 1294*T1^3*T2^8 + 
      409*T1^4*T2^8 - 20877*T1^5*T2^8 + 58874*T1^6*T2^8 - 47644*T1^7*T2^8 - 
      23146*T1^8*T2^8 + 39573*T1^9*T2^8 - 12641*T1^10*T2^8 - 206*T1^11*T2^8 + 
      521*T1^12*T2^8 + 27*T1^3*T2^9 - 1406*T1^4*T2^9 + 7244*T1^5*T2^9 - 
      10523*T1^6*T2^9 - 11277*T1^7*T2^9 + 39573*T1^8*T2^9 - 24893*T1^9*T2^9 + 
      1169*T1^10*T2^9 + 3094*T1^11*T2^9 - 753*T1^12*T2^9 + 161*T1^4*T2^10 - 
      366*T1^5*T2^10 - 2213*T1^6*T2^10 + 10169*T1^7*T2^10 - 
      12641*T1^8*T2^10 + 1169*T1^9*T2^10 + 5527*T1^10*T2^10 - 
      3066*T1^11*T2^10 + 521*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 
      1266*T1^7*T2^11 - 206*T1^8*T2^11 + 3094*T1^9*T2^11 - 3066*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      521*T1^8*T2^12 - 753*T1^9*T2^12 + 521*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 555] -> 
  {-((3 - 18*T + 45*T^2 - 61*T^3 + 45*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((-84 + 507*T1 - 1272*T1^2 + 1728*T1^3 - 1272*T1^4 + 507*T1^5 - 84*T1^6 + 
      507*T2 - 2718*T1*T2 + 5597*T1^2*T2 - 5187*T1^3*T2 + 537*T1^4*T2 + 
      2195*T1^5*T2 - 1584*T1^6*T2 + 345*T1^7*T2 - 1272*T2^2 + 5597*T1*T2^2 - 
      7080*T1^2*T2^2 - 2858*T1^3*T2^2 + 16956*T1^4*T2^2 - 14468*T1^5*T2^2 + 
      4260*T1^6*T2^2 + 737*T1^7*T2^2 - 462*T1^8*T2^2 + 1728*T2^3 - 
      5187*T1*T2^3 - 2858*T1^2*T2^3 + 27431*T1^3*T2^3 - 39740*T1^4*T2^3 + 
      11533*T1^5*T2^3 + 11537*T1^6*T2^3 - 10553*T1^7*T2^3 + 2265*T1^8*T2^3 + 
      81*T1^9*T2^3 - 1272*T2^4 + 537*T1*T2^4 + 16956*T1^2*T2^4 - 
      39740*T1^3*T2^4 + 22524*T1^4*T2^4 + 37522*T1^5*T2^4 - 49224*T1^6*T2^4 + 
      19552*T1^7*T2^4 + 1728*T1^8*T2^4 - 2595*T1^9*T2^4 + 348*T1^10*T2^4 + 
      507*T2^5 + 2195*T1*T2^5 - 14468*T1^2*T2^5 + 11533*T1^3*T2^5 + 
      37522*T1^4*T2^5 - 90045*T1^5*T2^5 + 53505*T1^6*T2^5 + 7957*T1^7*T2^5 - 
      23702*T1^8*T2^5 + 8887*T1^9*T2^5 - 235*T1^10*T2^5 - 303*T1^11*T2^5 - 
      84*T2^6 - 1584*T1*T2^6 + 4260*T1^2*T2^6 + 11537*T1^3*T2^6 - 
      49224*T1^4*T2^6 + 53505*T1^5*T2^6 + 17520*T1^6*T2^6 - 67185*T1^7*T2^6 + 
      44250*T1^8*T2^6 - 6337*T1^9*T2^6 - 4488*T1^10*T2^6 + 1332*T1^11*T2^6 + 
      78*T1^12*T2^6 + 345*T1*T2^7 + 737*T1^2*T2^7 - 10553*T1^3*T2^7 + 
      19552*T1^4*T2^7 + 7957*T1^5*T2^7 - 67185*T1^6*T2^7 + 76365*T1^7*T2^7 - 
      21608*T1^8*T2^7 - 15683*T1^9*T2^7 + 12802*T1^10*T2^7 - 
      1693*T1^11*T2^7 - 465*T1^12*T2^7 - 462*T1^2*T2^8 + 2265*T1^3*T2^8 + 
      1728*T1^4*T2^8 - 23702*T1^5*T2^8 + 44250*T1^6*T2^8 - 21608*T1^7*T2^8 - 
      27498*T1^8*T2^8 + 35590*T1^9*T2^8 - 13500*T1^10*T2^8 - 867*T1^11*T2^8 + 
      1158*T1^12*T2^8 + 81*T1^3*T2^9 - 2595*T1^4*T2^9 + 8887*T1^5*T2^9 - 
      6337*T1^6*T2^9 - 15683*T1^7*T2^9 + 35590*T1^8*T2^9 - 22231*T1^9*T2^9 + 
      1192*T1^10*T2^9 + 4857*T1^11*T2^9 - 1566*T1^12*T2^9 + 348*T1^4*T2^10 - 
      235*T1^5*T2^10 - 4488*T1^6*T2^10 + 12802*T1^7*T2^10 - 
      13500*T1^8*T2^10 + 1192*T1^9*T2^10 + 6852*T1^10*T2^10 - 
      5095*T1^11*T2^10 + 1158*T1^12*T2^10 - 303*T1^5*T2^11 + 
      1332*T1^6*T2^11 - 1693*T1^7*T2^11 - 867*T1^8*T2^11 + 4857*T1^9*T2^11 - 
      5095*T1^10*T2^11 + 2466*T1^11*T2^11 - 465*T1^12*T2^11 + 78*T1^6*T2^12 - 
      465*T1^7*T2^12 + 1158*T1^8*T2^12 - 1566*T1^9*T2^12 + 1158*T1^10*T2^12 - 
      465*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 556] -> 
  {-((4 - 17*T + 32*T^2 - 39*T^3 + 32*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-336 + 1420*T1 - 2660*T1^2 + 3240*T1^3 - 2660*T1^4 + 1420*T1^5 - 
      336*T1^6 + 1420*T2 - 4858*T1*T2 + 6407*T1^2*T2 - 4631*T1^3*T2 + 
      197*T1^4*T2 + 3075*T1^5*T2 - 3430*T1^6*T2 + 1148*T1^7*T2 - 2660*T2^2 + 
      6407*T1*T2^2 - 2190*T1^2*T2^2 - 6022*T1^3*T2^2 + 13078*T1^4*T2^2 - 
      11654*T1^5*T2^2 + 4978*T1^6*T2^2 + 2055*T1^7*T2^2 - 1636*T1^8*T2^2 + 
      3240*T2^3 - 4631*T1*T2^3 - 6022*T1^2*T2^3 + 13620*T1^3*T2^3 - 
      13546*T1^4*T2^3 + 2146*T1^5*T2^3 + 7088*T1^6*T2^3 - 9574*T1^7*T2^3 + 
      1149*T1^8*T2^3 + 1368*T1^9*T2^3 - 2660*T2^4 + 197*T1*T2^4 + 
      13078*T1^2*T2^4 - 13546*T1^3*T2^4 + 5369*T1^4*T2^4 + 8289*T1^5*T2^4 - 
      9467*T1^6*T2^4 + 3614*T1^7*T2^4 + 6920*T1^8*T2^4 - 3203*T1^9*T2^4 - 
      612*T1^10*T2^4 + 1420*T2^5 + 3075*T1*T2^5 - 11654*T1^2*T2^5 + 
      2146*T1^3*T2^5 + 8289*T1^4*T2^5 - 13340*T1^5*T2^5 + 2440*T1^6*T2^5 + 
      6433*T1^7*T2^5 - 10610*T1^8*T2^5 + 218*T1^9*T2^5 + 2327*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3430*T1*T2^6 + 4978*T1^2*T2^6 + 
      7088*T1^3*T2^6 - 9467*T1^4*T2^6 + 2440*T1^5*T2^6 + 11124*T1^6*T2^6 - 
      11880*T1^7*T2^6 + 5865*T1^8*T2^6 + 5520*T1^9*T2^6 - 3410*T1^10*T2^6 - 
      438*T1^11*T2^6 + 48*T1^12*T2^6 + 1148*T1*T2^7 + 2055*T1^2*T2^7 - 
      9574*T1^3*T2^7 + 3614*T1^4*T2^7 + 6433*T1^5*T2^7 - 11880*T1^6*T2^7 + 
      3900*T1^7*T2^7 + 4577*T1^8*T2^7 - 9142*T1^9*T2^7 + 2298*T1^10*T2^7 + 
      1307*T1^11*T2^7 - 212*T1^12*T2^7 - 1636*T1^2*T2^8 + 1149*T1^3*T2^8 + 
      6920*T1^4*T2^8 - 10610*T1^5*T2^8 + 5865*T1^6*T2^8 + 4577*T1^7*T2^8 - 
      8971*T1^8*T2^8 + 6550*T1^9*T2^8 + 762*T1^10*T2^8 - 2251*T1^11*T2^8 + 
      412*T1^12*T2^8 + 1368*T1^3*T2^9 - 3203*T1^4*T2^9 + 218*T1^5*T2^9 + 
      5520*T1^6*T2^9 - 9142*T1^7*T2^9 + 6550*T1^8*T2^9 - 1012*T1^9*T2^9 - 
      3334*T1^10*T2^9 + 2577*T1^11*T2^9 - 504*T1^12*T2^9 - 612*T1^4*T2^10 + 
      2327*T1^5*T2^10 - 3410*T1^6*T2^10 + 2298*T1^7*T2^10 + 762*T1^8*T2^10 - 
      3334*T1^9*T2^10 + 3758*T1^10*T2^10 - 2025*T1^11*T2^10 + 
      412*T1^12*T2^10 + 60*T1^5*T2^11 - 438*T1^6*T2^11 + 1307*T1^7*T2^11 - 
      2251*T1^8*T2^11 + 2577*T1^9*T2^11 - 2025*T1^10*T2^11 + 
      990*T1^11*T2^11 - 212*T1^12*T2^11 + 48*T1^6*T2^12 - 212*T1^7*T2^12 + 
      412*T1^8*T2^12 - 504*T1^9*T2^12 + 412*T1^10*T2^12 - 212*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 557] -> {-((7 - 27*T + 39*T^2 - 27*T^3 + 7*T^4)/T^2), 
   -((-1190 + 4572*T1 - 6576*T1^2 + 4572*T1^3 - 1190*T1^4 + 4572*T2 - 
      14333*T1*T2 + 12821*T1^2*T2 + 347*T1^3*T2 - 7907*T1^4*T2 + 
      3249*T1^5*T2 - 6576*T2^2 + 12821*T1*T2^2 + 8818*T1^2*T2^2 - 
      33166*T1^3*T2^2 + 26290*T1^4*T2^2 - 1921*T1^5*T2^2 - 2754*T1^6*T2^2 + 
      4572*T2^3 + 347*T1*T2^3 - 33166*T1^2*T2^3 + 41788*T1^3*T2^3 - 
      8432*T1^4*T2^3 - 19477*T1^5*T2^3 + 8285*T1^6*T2^3 + 603*T1^7*T2^3 - 
      1190*T2^4 - 7907*T1*T2^4 + 26290*T1^2*T2^4 - 8432*T1^3*T2^4 - 
      28260*T1^4*T2^4 + 32932*T1^5*T2^4 - 5432*T1^6*T2^4 - 2993*T1^7*T2^4 + 
      182*T1^8*T2^4 + 3249*T1*T2^5 - 1921*T1^2*T2^5 - 19477*T1^3*T2^5 + 
      32932*T1^4*T2^5 - 17288*T1^5*T2^5 - 5788*T1^6*T2^5 + 6017*T1^7*T2^5 - 
      720*T1^8*T2^5 - 2754*T1^2*T2^6 + 8285*T1^3*T2^6 - 5432*T1^4*T2^6 - 
      5788*T1^5*T2^6 + 12040*T1^6*T2^6 - 6457*T1^7*T2^6 + 1068*T1^8*T2^6 + 
      603*T1^3*T2^7 - 2993*T1^4*T2^7 + 6017*T1^5*T2^7 - 6457*T1^6*T2^7 + 
      3433*T1^7*T2^7 - 720*T1^8*T2^7 + 182*T1^4*T2^8 - 720*T1^5*T2^8 + 
      1068*T1^6*T2^8 - 720*T1^7*T2^8 + 182*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 558] -> 
  {(2 - 11*T + 29*T^2 - 47*T^3 + 55*T^4 - 47*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 703*T1^2 + 1135*T1^3 - 1327*T1^4 + 1135*T1^5 - 
     703*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 2629*T1^2*T2 - 
     3012*T1^3*T2 + 2089*T1^4*T2 - 155*T1^5*T2 - 1340*T1^6*T2 + 
     1749*T1^7*T2 - 958*T1^8*T2 + 224*T1^9*T2 - 703*T2^2 + 2629*T1*T2^2 - 
     3876*T1^2*T2^2 + 1262*T1^3*T2^2 + 2715*T1^4*T2^2 - 6194*T1^5*T2^2 + 
     5731*T1^6*T2^2 - 2914*T1^7*T2^2 - 744*T1^8*T2^2 + 1353*T1^9*T2^2 - 
     471*T1^10*T2^2 + 1135*T2^3 - 3012*T1*T2^3 + 1262*T1^2*T2^3 + 
     6549*T1^3*T2^3 - 10374*T1^4*T2^3 + 9581*T1^5*T2^3 - 1525*T1^6*T2^3 - 
     4742*T1^7*T2^3 + 7607*T1^8*T2^3 - 2769*T1^9*T2^3 - 548*T1^10*T2^3 + 
     571*T1^11*T2^3 - 1327*T2^4 + 2089*T1*T2^4 + 2715*T1^2*T2^4 - 
     10374*T1^3*T2^4 + 4349*T1^4*T2^4 + 5155*T1^5*T2^4 - 17281*T1^6*T2^4 + 
     16199*T1^7*T2^4 - 9555*T1^8*T2^4 - 3136*T1^9*T2^4 + 4101*T1^10*T2^4 - 
     683*T1^11*T2^4 - 447*T1^12*T2^4 + 1135*T2^5 - 155*T1*T2^5 - 
     6194*T1^2*T2^5 + 9581*T1^3*T2^5 + 5155*T1^4*T2^5 - 12952*T1^5*T2^5 + 
     16792*T1^6*T2^5 - 3094*T1^7*T2^5 - 6124*T1^8*T2^5 + 13720*T1^9*T2^5 - 
     3245*T1^10*T2^5 - 2585*T1^11*T2^5 + 1385*T1^12*T2^5 + 195*T1^13*T2^5 - 
     703*T2^6 - 1340*T1*T2^6 + 5731*T1^2*T2^6 - 1525*T1^3*T2^6 - 
     17281*T1^4*T2^6 + 16792*T1^5*T2^6 - 11716*T1^6*T2^6 - 5270*T1^7*T2^6 + 
     6172*T1^8*T2^6 - 4800*T1^9*T2^6 - 9207*T1^10*T2^6 + 7001*T1^11*T2^6 - 
     545*T1^12*T2^6 - 1032*T1^13*T2^6 - 7*T1^14*T2^6 + 268*T2^7 + 
     1749*T1*T2^7 - 2914*T1^2*T2^7 - 4742*T1^3*T2^7 + 16199*T1^4*T2^7 - 
     3094*T1^5*T2^7 - 5270*T1^6*T2^7 + 13275*T1^7*T2^7 - 1429*T1^8*T2^7 - 
     4995*T1^9*T2^7 + 13380*T1^10*T2^7 - 2282*T1^11*T2^7 - 3950*T1^12*T2^7 + 
     1987*T1^13*T2^7 + 253*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 
     958*T1*T2^8 - 744*T1^2*T2^8 + 7607*T1^3*T2^8 - 9555*T1^4*T2^8 - 
     6124*T1^5*T2^8 + 6172*T1^6*T2^8 - 1429*T1^7*T2^8 - 12528*T1^8*T2^8 + 
     11585*T1^9*T2^8 - 7778*T1^10*T2^8 - 6520*T1^11*T2^8 + 7041*T1^12*T2^8 - 
     1011*T1^13*T2^8 - 1074*T1^14*T2^8 + 142*T1^15*T2^8 + 15*T1^16*T2^8 + 
     224*T1*T2^9 + 1353*T1^2*T2^9 - 2769*T1^3*T2^9 - 3136*T1^4*T2^9 + 
     13720*T1^5*T2^9 - 4800*T1^6*T2^9 - 4995*T1^7*T2^9 + 11585*T1^8*T2^9 - 
     3119*T1^9*T2^9 - 4720*T1^10*T2^9 + 11674*T1^11*T2^9 - 4761*T1^12*T2^9 - 
     2344*T1^13*T2^9 + 2132*T1^14*T2^9 - 143*T1^15*T2^9 - 84*T1^16*T2^9 - 
     471*T1^2*T2^10 - 548*T1^3*T2^10 + 4101*T1^4*T2^10 - 3245*T1^5*T2^10 - 
     9207*T1^6*T2^10 + 13380*T1^7*T2^10 - 7778*T1^8*T2^10 - 4720*T1^9*T2^10 + 
     10110*T1^10*T2^10 - 8212*T1^11*T2^10 - 1133*T1^12*T2^10 + 
     5281*T1^13*T2^10 - 2175*T1^14*T2^10 - 240*T1^15*T2^10 + 
     225*T1^16*T2^10 + 571*T1^3*T2^11 - 683*T1^4*T2^11 - 2585*T1^5*T2^11 + 
     7001*T1^6*T2^11 - 2282*T1^7*T2^11 - 6520*T1^8*T2^11 + 11674*T1^9*T2^11 - 
     8212*T1^10*T2^11 + 308*T1^11*T2^11 + 6283*T1^12*T2^11 - 
     5825*T1^13*T2^11 + 1024*T1^14*T2^11 + 857*T1^15*T2^11 - 
     369*T1^16*T2^11 - 447*T1^4*T2^12 + 1385*T1^5*T2^12 - 545*T1^6*T2^12 - 
     3950*T1^7*T2^12 + 7041*T1^8*T2^12 - 4761*T1^9*T2^12 - 1133*T1^10*T2^12 + 
     6283*T1^11*T2^12 - 6863*T1^12*T2^12 + 3288*T1^13*T2^12 + 
     841*T1^14*T2^12 - 1387*T1^15*T2^12 + 433*T1^16*T2^12 + 195*T1^5*T2^13 - 
     1032*T1^6*T2^13 + 1987*T1^7*T2^13 - 1011*T1^8*T2^13 - 2344*T1^9*T2^13 + 
     5281*T1^10*T2^13 - 5825*T1^11*T2^13 + 3288*T1^12*T2^13 + 
     47*T1^13*T2^13 - 2044*T1^14*T2^13 + 1432*T1^15*T2^13 - 369*T1^16*T2^13 - 
     7*T1^6*T2^14 + 253*T1^7*T2^14 - 1074*T1^8*T2^14 + 2132*T1^9*T2^14 - 
     2175*T1^10*T2^14 + 1024*T1^11*T2^14 + 841*T1^12*T2^14 - 
     2044*T1^13*T2^14 + 2058*T1^14*T2^14 - 1023*T1^15*T2^14 + 
     225*T1^16*T2^14 - 40*T1^7*T2^15 + 142*T1^8*T2^15 - 143*T1^9*T2^15 - 
     240*T1^10*T2^15 + 857*T1^11*T2^15 - 1387*T1^12*T2^15 + 
     1432*T1^13*T2^15 - 1023*T1^14*T2^15 + 428*T1^15*T2^15 - 84*T1^16*T2^15 + 
     15*T1^8*T2^16 - 84*T1^9*T2^16 + 225*T1^10*T2^16 - 369*T1^11*T2^16 + 
     433*T1^12*T2^16 - 369*T1^13*T2^16 + 225*T1^14*T2^16 - 84*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 559] -> 
  {(4 - 21*T + 49*T^2 - 63*T^3 + 49*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (-272 + 1420*T1 - 3296*T1^2 + 4224*T1^3 - 3296*T1^4 + 1420*T1^5 - 
     272*T1^6 + 1420*T2 - 6342*T1*T2 + 11595*T1^2*T2 - 8987*T1^3*T2 + 
     421*T1^4*T2 + 5715*T1^5*T2 - 4242*T1^6*T2 + 1084*T1^7*T2 - 3296*T2^2 + 
     11595*T1*T2^2 - 12253*T1^2*T2^2 - 8329*T1^3*T2^2 + 27199*T1^4*T2^2 - 
     24793*T1^5*T2^2 + 5387*T1^6*T2^2 + 3363*T1^7*T2^2 - 1728*T1^8*T2^2 + 
     4224*T2^3 - 8987*T1*T2^3 - 8329*T1^2*T2^3 + 48155*T1^3*T2^3 - 
     50529*T1^4*T2^3 + 11799*T1^5*T2^3 + 26777*T1^6*T2^3 - 19648*T1^7*T2^3 + 
     2773*T1^8*T2^3 + 1200*T1^9*T2^3 - 3296*T2^4 + 421*T1*T2^4 + 
     27199*T1^2*T2^4 - 50529*T1^3*T2^4 + 355*T1^4*T2^4 + 64855*T1^5*T2^4 - 
     75497*T1^6*T2^4 + 19149*T1^7*T2^4 + 10049*T1^8*T2^4 - 5459*T1^9*T2^4 - 
     160*T1^10*T2^4 + 1420*T2^5 + 5715*T1*T2^5 - 24793*T1^2*T2^5 + 
     11799*T1^3*T2^5 + 64855*T1^4*T2^5 - 95906*T1^5*T2^5 + 44248*T1^6*T2^5 + 
     35014*T1^7*T2^5 - 35829*T1^8*T2^5 + 7106*T1^9*T2^5 + 2187*T1^10*T2^5 - 
     260*T1^11*T2^5 - 272*T2^6 - 4242*T1*T2^6 + 5387*T1^2*T2^6 + 
     26777*T1^3*T2^6 - 75497*T1^4*T2^6 + 44248*T1^5*T2^6 + 37008*T1^6*T2^6 - 
     80072*T1^7*T2^6 + 34165*T1^8*T2^6 + 6323*T1^9*T2^6 - 7745*T1^10*T2^6 + 
     798*T1^11*T2^6 + 112*T1^12*T2^6 + 1084*T1*T2^7 + 3363*T1^2*T2^7 - 
     19648*T1^3*T2^7 + 19149*T1^4*T2^7 + 35014*T1^5*T2^7 - 80072*T1^6*T2^7 + 
     60082*T1^7*T2^7 + 5173*T1^8*T2^7 - 28479*T1^9*T2^7 + 12251*T1^10*T2^7 - 
     165*T1^11*T2^7 - 596*T1^12*T2^7 - 1728*T1^2*T2^8 + 2773*T1^3*T2^8 + 
     10049*T1^4*T2^8 - 35829*T1^5*T2^8 + 34165*T1^6*T2^8 + 5173*T1^7*T2^8 - 
     41687*T1^8*T2^8 + 33849*T1^9*T2^8 - 7101*T1^10*T2^8 - 3107*T1^11*T2^8 + 
     1408*T1^12*T2^8 + 1200*T1^3*T2^9 - 5459*T1^4*T2^9 + 7106*T1^5*T2^9 + 
     6323*T1^6*T2^9 - 28479*T1^7*T2^9 + 33849*T1^8*T2^9 - 15055*T1^9*T2^9 - 
     4213*T1^10*T2^9 + 6301*T1^11*T2^9 - 1824*T1^12*T2^9 - 160*T1^4*T2^10 + 
     2187*T1^5*T2^10 - 7745*T1^6*T2^10 + 12251*T1^7*T2^10 - 7101*T1^8*T2^10 - 
     4213*T1^9*T2^10 + 9895*T1^10*T2^10 - 6045*T1^11*T2^10 + 
     1408*T1^12*T2^10 - 260*T1^5*T2^11 + 798*T1^6*T2^11 - 165*T1^7*T2^11 - 
     3107*T1^8*T2^11 + 6301*T1^9*T2^11 - 6045*T1^10*T2^11 + 
     2898*T1^11*T2^11 - 596*T1^12*T2^11 + 112*T1^6*T2^12 - 596*T1^7*T2^12 + 
     1408*T1^8*T2^12 - 1824*T1^9*T2^12 + 1408*T1^10*T2^12 - 596*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 560] -> 
  {-((2 - 15*T + 41*T^2 - 57*T^3 + 41*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-23 + 173*T1 - 473*T1^2 + 657*T1^3 - 473*T1^4 + 173*T1^5 - 23*T1^6 + 
      173*T2 - 1188*T1*T2 + 2706*T1^2*T2 - 2614*T1^3*T2 + 326*T1^4*T2 + 
      1026*T1^5*T2 - 678*T1^6*T2 + 113*T1^7*T2 - 473*T2^2 + 2706*T1*T2^2 - 
      3421*T1^2*T2^2 - 3065*T1^3*T2^2 + 11821*T1^4*T2^2 - 9953*T1^5*T2^2 + 
      2975*T1^6*T2^2 + 246*T1^7*T2^2 - 145*T1^8*T2^2 + 657*T2^3 - 
      2614*T1*T2^3 - 3065*T1^2*T2^3 + 21231*T1^3*T2^3 - 30383*T1^4*T2^3 + 
      10735*T1^5*T2^3 + 6969*T1^6*T2^3 - 6632*T1^7*T2^3 + 1286*T1^8*T2^3 - 
      27*T1^9*T2^3 - 473*T2^4 + 326*T1*T2^4 + 11821*T1^2*T2^4 - 
      30383*T1^3*T2^4 + 18636*T1^4*T2^4 + 26846*T1^5*T2^4 - 40392*T1^6*T2^4 + 
      17611*T1^7*T2^4 - 381*T1^8*T2^4 - 1174*T1^9*T2^4 + 183*T1^10*T2^4 + 
      173*T2^5 + 1026*T1*T2^5 - 9953*T1^2*T2^5 + 10735*T1^3*T2^5 + 
      26846*T1^4*T2^5 - 73376*T1^5*T2^5 + 54880*T1^6*T2^5 - 1321*T1^7*T2^5 - 
      16631*T1^8*T2^5 + 6898*T1^9*T2^5 - 414*T1^10*T2^5 - 127*T1^11*T2^5 - 
      23*T2^6 - 678*T1*T2^6 + 2975*T1^2*T2^6 + 6969*T1^3*T2^6 - 
      40392*T1^4*T2^6 + 54880*T1^5*T2^6 - 4704*T1^6*T2^6 - 51584*T1^7*T2^6 + 
      40410*T1^8*T2^6 - 7929*T1^9*T2^6 - 2817*T1^10*T2^6 + 762*T1^11*T2^6 + 
      25*T1^12*T2^6 + 113*T1*T2^7 + 246*T1^2*T2^7 - 6632*T1^3*T2^7 + 
      17611*T1^4*T2^7 - 1321*T1^5*T2^7 - 51584*T1^6*T2^7 + 76672*T1^7*T2^7 - 
      29488*T1^8*T2^7 - 9755*T1^9*T2^7 + 10219*T1^10*T2^7 - 1194*T1^11*T2^7 - 
      187*T1^12*T2^7 - 145*T1^2*T2^8 + 1286*T1^3*T2^8 - 381*T1^4*T2^8 - 
      16631*T1^5*T2^8 + 40410*T1^6*T2^8 - 29488*T1^7*T2^8 - 18618*T1^8*T2^8 + 
      31363*T1^9*T2^8 - 12583*T1^10*T2^8 - 214*T1^11*T2^8 + 511*T1^12*T2^8 - 
      27*T1^3*T2^9 - 1174*T1^4*T2^9 + 6898*T1^5*T2^9 - 7929*T1^6*T2^9 - 
      9755*T1^7*T2^9 + 31363*T1^8*T2^9 - 22191*T1^9*T2^9 + 3331*T1^10*T2^9 + 
      2726*T1^11*T2^9 - 711*T1^12*T2^9 + 183*T1^4*T2^10 - 414*T1^5*T2^10 - 
      2817*T1^6*T2^10 + 10219*T1^7*T2^10 - 12583*T1^8*T2^10 + 
      3331*T1^9*T2^10 + 3579*T1^10*T2^10 - 2874*T1^11*T2^10 + 
      511*T1^12*T2^10 - 127*T1^5*T2^11 + 762*T1^6*T2^11 - 1194*T1^7*T2^11 - 
      214*T1^8*T2^11 + 2726*T1^9*T2^11 - 2874*T1^10*T2^11 + 
      1272*T1^11*T2^11 - 187*T1^12*T2^11 + 25*T1^6*T2^12 - 187*T1^7*T2^12 + 
      511*T1^8*T2^12 - 711*T1^9*T2^12 + 511*T1^10*T2^12 - 187*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 561] -> 
  {((1 - T + T^2)*(1 - 6*T + 18*T^2 - 25*T^3 + 18*T^4 - 6*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 150*T1^2 + 294*T1^3 - 366*T1^4 + 294*T1^5 - 150*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 805*T1^2*T2 - 1183*T1^3*T2 + 
     847*T1^4*T2 + 77*T1^5*T2 - 665*T1^6*T2 + 581*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 150*T2^2 + 805*T1*T2^2 - 2133*T1^2*T2^2 + 1909*T1^3*T2^2 + 
     401*T1^4*T2^2 - 2757*T1^5*T2^2 + 2201*T1^6*T2^2 - 191*T1^7*T2^2 - 
     933*T1^8*T2^2 + 455*T1^9*T2^2 - 100*T1^10*T2^2 + 294*T2^3 - 
     1183*T1*T2^3 + 1909*T1^2*T2^3 + 2776*T1^3*T2^3 - 8590*T1^4*T2^3 + 
     8404*T1^5*T2^3 + 32*T1^6*T2^3 - 5636*T1^7*T2^3 + 4526*T1^8*T2^3 - 
     366*T1^9*T2^3 - 329*T1^10*T2^3 + 147*T1^11*T2^3 - 366*T2^4 + 
     847*T1*T2^4 + 401*T1^2*T2^4 - 8590*T1^3*T2^4 + 6616*T1^4*T2^4 + 
     10616*T1^5*T2^4 - 29882*T1^6*T2^4 + 25064*T1^7*T2^4 - 7556*T1^8*T2^4 - 
     4082*T1^9*T2^4 + 1699*T1^10*T2^4 - 175*T1^11*T2^4 - 122*T1^12*T2^4 + 
     294*T2^5 + 77*T1*T2^5 - 2757*T1^2*T2^5 + 8404*T1^3*T2^5 + 
     10616*T1^4*T2^5 - 38253*T1^5*T2^5 + 42465*T1^6*T2^5 - 5331*T1^7*T2^5 - 
     22461*T1^8*T2^5 + 20521*T1^9*T2^5 - 1816*T1^10*T2^5 - 1140*T1^11*T2^5 + 
     511*T1^12*T2^5 + 49*T1^13*T2^5 - 150*T2^6 - 665*T1*T2^6 + 
     2201*T1^2*T2^6 + 32*T1^3*T2^6 - 29882*T1^4*T2^6 + 42465*T1^5*T2^6 - 
     11718*T1^6*T2^6 - 42450*T1^7*T2^6 + 44058*T1^8*T2^6 - 10665*T1^9*T2^6 - 
     14760*T1^10*T2^6 + 5632*T1^11*T2^6 - 603*T1^12*T2^6 - 343*T1^13*T2^6 + 
     42*T2^7 + 581*T1*T2^7 - 191*T1^2*T2^7 - 5636*T1^3*T2^7 + 
     25064*T1^4*T2^7 - 5331*T1^5*T2^7 - 42450*T1^6*T2^7 + 66350*T1^7*T2^7 - 
     18098*T1^8*T2^7 - 28639*T1^9*T2^7 + 31797*T1^10*T2^7 - 3013*T1^11*T2^7 - 
     2374*T1^12*T2^7 + 1034*T1^13*T2^7 + 49*T1^14*T2^7 - 7*T1^15*T2^7 - 
     6*T2^8 - 203*T1*T2^8 - 933*T1^2*T2^8 + 4526*T1^3*T2^8 - 7556*T1^4*T2^8 - 
     22461*T1^5*T2^8 + 44058*T1^6*T2^8 - 18098*T1^7*T2^8 - 44496*T1^8*T2^8 + 
     56774*T1^9*T2^8 - 21832*T1^10*T2^8 - 12171*T1^11*T2^8 + 
     7412*T1^12*T2^8 - 1214*T1^13*T2^8 - 291*T1^14*T2^8 + 35*T1^15*T2^8 + 
     2*T1^16*T2^8 + 35*T1*T2^9 + 455*T1^2*T2^9 - 366*T1^3*T2^9 - 
     4082*T1^4*T2^9 + 20521*T1^5*T2^9 - 10665*T1^6*T2^9 - 28639*T1^7*T2^9 + 
     56774*T1^8*T2^9 - 27674*T1^9*T2^9 - 14828*T1^10*T2^9 + 
     26463*T1^11*T2^9 - 7556*T1^12*T2^9 - 820*T1^13*T2^9 + 859*T1^14*T2^9 - 
     77*T1^15*T2^9 - 14*T1^16*T2^9 - 100*T1^2*T2^10 - 329*T1^3*T2^10 + 
     1699*T1^4*T2^10 - 1816*T1^5*T2^10 - 14760*T1^6*T2^10 + 
     31797*T1^7*T2^10 - 21832*T1^8*T2^10 - 14828*T1^9*T2^10 + 
     33944*T1^10*T2^10 - 21333*T1^11*T2^10 + 362*T1^12*T2^10 + 
     3784*T1^13*T2^10 - 1105*T1^14*T2^10 - 7*T1^15*T2^10 + 50*T1^16*T2^10 + 
     147*T1^3*T2^11 - 175*T1^4*T2^11 - 1140*T1^5*T2^11 + 5632*T1^6*T2^11 - 
     3013*T1^7*T2^11 - 12171*T1^8*T2^11 + 26463*T1^9*T2^11 - 
     21333*T1^10*T2^11 + 3621*T1^11*T2^11 + 6892*T1^12*T2^11 - 
     4588*T1^13*T2^11 + 477*T1^14*T2^11 + 259*T1^15*T2^11 - 98*T1^16*T2^11 - 
     122*T1^4*T2^12 + 511*T1^5*T2^12 - 603*T1^6*T2^12 - 2374*T1^7*T2^12 + 
     7412*T1^8*T2^12 - 7556*T1^9*T2^12 + 362*T1^10*T2^12 + 6892*T1^11*T2^12 - 
     6760*T1^12*T2^12 + 2134*T1^13*T2^12 + 695*T1^14*T2^12 - 
     511*T1^15*T2^12 + 122*T1^16*T2^12 + 49*T1^5*T2^13 - 343*T1^6*T2^13 + 
     1034*T1^7*T2^13 - 1214*T1^8*T2^13 - 820*T1^9*T2^13 + 3784*T1^10*T2^13 - 
     4588*T1^11*T2^13 + 2134*T1^12*T2^13 + 536*T1^13*T2^13 - 
     1241*T1^14*T2^13 + 511*T1^15*T2^13 - 98*T1^16*T2^13 + 49*T1^7*T2^14 - 
     291*T1^8*T2^14 + 859*T1^9*T2^14 - 1105*T1^10*T2^14 + 477*T1^11*T2^14 + 
     695*T1^12*T2^14 - 1241*T1^13*T2^14 + 909*T1^14*T2^14 - 301*T1^15*T2^14 + 
     50*T1^16*T2^14 - 7*T1^7*T2^15 + 35*T1^8*T2^15 - 77*T1^9*T2^15 - 
     7*T1^10*T2^15 + 259*T1^11*T2^15 - 511*T1^12*T2^15 + 511*T1^13*T2^15 - 
     301*T1^14*T2^15 + 91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 
     14*T1^9*T2^16 + 50*T1^10*T2^16 - 98*T1^11*T2^16 + 122*T1^12*T2^16 - 
     98*T1^13*T2^16 + 50*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 562] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-33 + 247*T1 - 675*T1^2 + 905*T1^3 - 675*T1^4 + 247*T1^5 - 33*T1^6 + 
     247*T2 - 1662*T1*T2 + 3654*T1^2*T2 - 2952*T1^3*T2 - 72*T1^4*T2 + 
     1974*T1^5*T2 - 1152*T1^6*T2 + 187*T1^7*T2 - 675*T2^2 + 3654*T1*T2^2 - 
     3730*T1^2*T2^2 - 7328*T1^3*T2^2 + 17216*T1^4*T2^2 - 13888*T1^5*T2^2 + 
     2666*T1^6*T2^2 + 1194*T1^7*T2^2 - 347*T1^8*T2^2 + 905*T2^3 - 
     2952*T1*T2^3 - 7328*T1^2*T2^3 + 33715*T1^3*T2^3 - 34903*T1^4*T2^3 + 
     5657*T1^5*T2^3 + 18085*T1^6*T2^3 - 10403*T1^7*T2^3 + 768*T1^8*T2^3 + 
     245*T1^9*T2^3 - 675*T2^4 - 72*T1*T2^4 + 17216*T1^2*T2^4 - 
     34903*T1^3*T2^4 - 3407*T1^4*T2^4 + 55711*T1^5*T2^4 - 56615*T1^6*T2^4 + 
     11407*T1^7*T2^4 + 5914*T1^8*T2^4 - 1692*T1^9*T2^4 - 19*T1^10*T2^4 + 
     247*T2^5 + 1974*T1*T2^5 - 13888*T1^2*T2^5 + 5657*T1^3*T2^5 + 
     55711*T1^4*T2^5 - 82720*T1^5*T2^5 + 32990*T1^6*T2^5 + 28446*T1^7*T2^5 - 
     23403*T1^8*T2^5 + 3127*T1^9*T2^5 + 534*T1^10*T2^5 - 53*T1^11*T2^5 - 
     33*T2^6 - 1152*T1*T2^6 + 2666*T1^2*T2^6 + 18085*T1^3*T2^6 - 
     56615*T1^4*T2^6 + 32990*T1^5*T2^6 + 37800*T1^6*T2^6 - 66750*T1^7*T2^6 + 
     25987*T1^8*T2^6 + 3235*T1^9*T2^6 - 3126*T1^10*T2^6 + 288*T1^11*T2^6 + 
     15*T1^12*T2^6 + 187*T1*T2^7 + 1194*T1^2*T2^7 - 10403*T1^3*T2^7 + 
     11407*T1^4*T2^7 + 28446*T1^5*T2^7 - 66750*T1^6*T2^7 + 48960*T1^7*T2^7 + 
     1181*T1^8*T2^7 - 17653*T1^9*T2^7 + 6612*T1^10*T2^7 - 246*T1^11*T2^7 - 
     113*T1^12*T2^7 - 347*T1^2*T2^8 + 768*T1^3*T2^8 + 5914*T1^4*T2^8 - 
     23403*T1^5*T2^8 + 25987*T1^6*T2^8 + 1181*T1^7*T2^8 - 27221*T1^8*T2^8 + 
     22907*T1^9*T2^8 - 5388*T1^10*T2^8 - 852*T1^11*T2^8 + 309*T1^12*T2^8 + 
     245*T1^3*T2^9 - 1692*T1^4*T2^9 + 3127*T1^5*T2^9 + 3235*T1^6*T2^9 - 
     17653*T1^7*T2^9 + 22907*T1^8*T2^9 - 12395*T1^9*T2^9 + 52*T1^10*T2^9 + 
     2028*T1^11*T2^9 - 415*T1^12*T2^9 - 19*T1^4*T2^10 + 534*T1^5*T2^10 - 
     3126*T1^6*T2^10 + 6612*T1^7*T2^10 - 5388*T1^8*T2^10 + 52*T1^9*T2^10 + 
     3270*T1^10*T2^10 - 1926*T1^11*T2^10 + 309*T1^12*T2^10 - 53*T1^5*T2^11 + 
     288*T1^6*T2^11 - 246*T1^7*T2^11 - 852*T1^8*T2^11 + 2028*T1^9*T2^11 - 
     1926*T1^10*T2^11 + 798*T1^11*T2^11 - 113*T1^12*T2^11 + 15*T1^6*T2^12 - 
     113*T1^7*T2^12 + 309*T1^8*T2^12 - 415*T1^9*T2^12 + 309*T1^10*T2^12 - 
     113*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 563] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((-336 + 1340*T1 - 2084*T1^2 + 2248*T1^3 - 2084*T1^4 + 1340*T1^5 - 
      336*T1^6 + 1340*T2 - 4264*T1*T2 + 3998*T1^2*T2 - 2256*T1^3*T2 + 
      1072*T1^4*T2 + 1374*T1^5*T2 - 2984*T1^6*T2 + 1084*T1^7*T2 - 2084*T2^2 + 
      3998*T1*T2^2 + 3052*T1^2*T2^2 - 7948*T1^3*T2^2 + 8360*T1^4*T2^2 - 
      10148*T1^5*T2^2 + 7252*T1^6*T2^2 + 798*T1^7*T2^2 - 1284*T1^8*T2^2 + 
      2248*T2^3 - 2256*T1*T2^3 - 7948*T1^2*T2^3 + 7936*T1^3*T2^3 - 
      3556*T1^4*T2^3 + 3960*T1^5*T2^3 + 1580*T1^6*T2^3 - 8048*T1^7*T2^3 + 
      1328*T1^8*T2^3 + 952*T1^9*T2^3 - 2084*T2^4 + 1072*T1*T2^4 + 
      8360*T1^2*T2^4 - 3556*T1^3*T2^4 - 701*T1^4*T2^4 - 2047*T1^5*T2^4 - 
      1805*T1^6*T2^4 + 3788*T1^7*T2^4 + 4536*T1^8*T2^4 - 1872*T1^9*T2^4 - 
      484*T1^10*T2^4 + 1340*T2^5 + 1374*T1*T2^5 - 10148*T1^2*T2^5 + 
      3960*T1^3*T2^5 - 2047*T1^4*T2^5 + 5987*T1^5*T2^5 - 1713*T1^6*T2^5 - 
      522*T1^7*T2^5 - 3900*T1^8*T2^5 - 1648*T1^9*T2^5 + 1694*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 2984*T1*T2^6 + 7252*T1^2*T2^6 + 
      1580*T1^3*T2^6 - 1805*T1^4*T2^6 - 1713*T1^5*T2^6 - 3420*T1^6*T2^6 + 
      4505*T1^7*T2^6 - 803*T1^8*T2^6 + 4588*T1^9*T2^6 - 1732*T1^10*T2^6 - 
      424*T1^11*T2^6 + 48*T1^12*T2^6 + 1084*T1*T2^7 + 798*T1^2*T2^7 - 
      8048*T1^3*T2^7 + 3788*T1^4*T2^7 - 522*T1^5*T2^7 + 4505*T1^6*T2^7 - 
      3195*T1^7*T2^7 + 1003*T1^8*T2^7 - 4072*T1^9*T2^7 + 452*T1^10*T2^7 + 
      1118*T1^11*T2^7 - 196*T1^12*T2^7 - 1284*T1^2*T2^8 + 1328*T1^3*T2^8 + 
      4536*T1^4*T2^8 - 3900*T1^5*T2^8 - 803*T1^6*T2^8 + 1003*T1^7*T2^8 - 
      1907*T1^8*T2^8 + 3444*T1^9*T2^8 + 712*T1^10*T2^8 - 1616*T1^11*T2^8 + 
      316*T1^12*T2^8 + 952*T1^3*T2^9 - 1872*T1^4*T2^9 - 1648*T1^5*T2^9 + 
      4588*T1^6*T2^9 - 4072*T1^7*T2^9 + 3444*T1^8*T2^9 - 1768*T1^9*T2^9 - 
      1748*T1^10*T2^9 + 1712*T1^11*T2^9 - 344*T1^12*T2^9 - 484*T1^4*T2^10 + 
      1694*T1^5*T2^10 - 1732*T1^6*T2^10 + 452*T1^7*T2^10 + 712*T1^8*T2^10 - 
      1748*T1^9*T2^10 + 2468*T1^10*T2^10 - 1506*T1^11*T2^10 + 
      316*T1^12*T2^10 + 60*T1^5*T2^11 - 424*T1^6*T2^11 + 1118*T1^7*T2^11 - 
      1616*T1^8*T2^11 + 1712*T1^9*T2^11 - 1506*T1^10*T2^11 + 
      856*T1^11*T2^11 - 196*T1^12*T2^11 + 48*T1^6*T2^12 - 196*T1^7*T2^12 + 
      316*T1^8*T2^12 - 344*T1^9*T2^12 + 316*T1^10*T2^12 - 196*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 564] -> 
  {-(((-2 + T)*(-1 + 2*T)*(4 - 7*T + 4*T^2))/T^2), 
   -((-1728 + 7312*T1 - 10928*T1^2 + 7312*T1^3 - 1728*T1^4 + 7312*T2 - 
      25828*T1*T2 + 24576*T1^2*T2 + 1456*T1^3*T2 - 14404*T1^4*T2 + 
      5136*T1^5*T2 - 10928*T2^2 + 24576*T1*T2^2 + 18075*T1^2*T2^2 - 
      72053*T1^3*T2^2 + 53163*T1^4*T2^2 - 3168*T1^5*T2^2 - 4400*T1^6*T2^2 + 
      7312*T2^3 + 1456*T1*T2^3 - 72053*T1^2*T2^3 + 96296*T1^3*T2^3 - 
      16822*T1^4*T2^3 - 40841*T1^5*T2^3 + 15328*T1^6*T2^3 + 784*T1^7*T2^3 - 
      1728*T2^4 - 14404*T1*T2^4 + 53163*T1^2*T2^4 - 16822*T1^3*T2^4 - 
      69288*T1^4*T2^4 + 73890*T1^5*T2^4 - 12389*T1^6*T2^4 - 4612*T1^7*T2^4 + 
      320*T1^8*T2^4 + 5136*T1*T2^5 - 3168*T1^2*T2^5 - 40841*T1^3*T2^5 + 
      73890*T1^4*T2^5 - 39228*T1^5*T2^5 - 9629*T1^6*T2^5 + 10704*T1^7*T2^5 - 
      1392*T1^8*T2^5 - 4400*T1^2*T2^6 + 15328*T1^3*T2^6 - 12389*T1^4*T2^6 - 
      9629*T1^5*T2^6 + 22699*T1^6*T2^6 - 12416*T1^7*T2^6 + 2128*T1^8*T2^6 + 
      784*T1^3*T2^7 - 4612*T1^4*T2^7 + 10704*T1^5*T2^7 - 12416*T1^6*T2^7 + 
      6812*T1^7*T2^7 - 1392*T1^8*T2^7 + 320*T1^4*T2^8 - 1392*T1^5*T2^8 + 
      2128*T1^6*T2^8 - 1392*T1^7*T2^8 + 320*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 565] -> 
  {(1 - 7*T + 23*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 23*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 46*T1^2 + 82*T1^3 - 98*T1^4 + 82*T1^5 - 46*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 273*T1^2*T2 - 413*T1^3*T2 + 399*T1^4*T2 - 
     231*T1^5*T2 + 35*T1^6*T2 + 63*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     46*T2^2 + 273*T1*T2^2 - 717*T1^2*T2^2 + 777*T1^3*T2^2 - 291*T1^4*T2^2 - 
     455*T1^5*T2^2 + 905*T1^6*T2^2 - 787*T1^7*T2^2 + 295*T1^8*T2^2 - 
     49*T1^9*T2^2 + 82*T2^3 - 413*T1*T2^3 + 777*T1^2*T2^3 + 218*T1^3*T2^3 - 
     2148*T1^4*T2^3 + 3508*T1^5*T2^3 - 3110*T1^6*T2^3 + 1268*T1^7*T2^3 + 
     554*T1^8*T2^3 - 764*T1^9*T2^3 + 287*T1^10*T2^3 - 41*T1^11*T2^3 - 
     98*T2^4 + 399*T1*T2^4 - 291*T1^2*T2^4 - 2148*T1^3*T2^4 + 
     4827*T1^4*T2^4 - 4229*T1^5*T2^4 + 311*T1^6*T2^4 + 4031*T1^7*T2^4 - 
     5281*T1^8*T2^4 + 2444*T1^9*T2^4 + 199*T1^10*T2^4 - 399*T1^11*T2^4 + 
     98*T1^12*T2^4 + 82*T2^5 - 231*T1*T2^5 - 455*T1^2*T2^5 + 3508*T1^3*T2^5 - 
     4229*T1^4*T2^5 - 2553*T1^5*T2^5 + 10945*T1^6*T2^5 - 14219*T1^7*T2^5 + 
     8785*T1^8*T2^5 + 654*T1^9*T2^5 - 4210*T1^10*T2^5 + 1090*T1^11*T2^5 + 
     175*T1^12*T2^5 - 123*T1^13*T2^5 - 46*T2^6 + 35*T1*T2^6 + 905*T1^2*T2^6 - 
     3110*T1^3*T2^6 + 311*T1^4*T2^6 + 10945*T1^5*T2^6 - 14690*T1^6*T2^6 + 
     7136*T1^7*T2^6 + 7918*T1^8*T2^6 - 16245*T1^9*T2^6 + 9593*T1^10*T2^6 + 
     1858*T1^11*T2^6 - 1703*T1^12*T2^6 + 217*T1^13*T2^6 + 92*T1^14*T2^6 + 
     14*T2^7 + 63*T1*T2^7 - 787*T1^2*T2^7 + 1268*T1^3*T2^7 + 4031*T1^4*T2^7 - 
     14219*T1^5*T2^7 + 7136*T1^6*T2^7 + 6682*T1^7*T2^7 - 16830*T1^8*T2^7 + 
     9971*T1^9*T2^7 + 6893*T1^10*T2^7 - 14360*T1^11*T2^7 + 2556*T1^12*T2^7 + 
     892*T1^13*T2^7 - 399*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     295*T1^2*T2^8 + 554*T1^3*T2^8 - 5281*T1^4*T2^8 + 8785*T1^5*T2^8 + 
     7918*T1^6*T2^8 - 16830*T1^7*T2^8 + 12888*T1^8*T2^8 + 5050*T1^9*T2^8 - 
     16692*T1^10*T2^8 + 10071*T1^11*T2^8 + 8191*T1^12*T2^8 - 
     4462*T1^13*T2^8 + 537*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 
     7*T1*T2^9 - 49*T1^2*T2^9 - 764*T1^3*T2^9 + 2444*T1^4*T2^9 + 
     654*T1^5*T2^9 - 16245*T1^6*T2^9 + 9971*T1^7*T2^9 + 5050*T1^8*T2^9 - 
     18462*T1^9*T2^9 + 12806*T1^10*T2^9 + 4867*T1^11*T2^9 - 
     17737*T1^12*T2^9 + 3732*T1^13*T2^9 + 915*T1^14*T2^9 - 511*T1^15*T2^9 - 
     42*T1^16*T2^9 + 287*T1^3*T2^10 + 199*T1^4*T2^10 - 4210*T1^5*T2^10 + 
     9593*T1^6*T2^10 + 6893*T1^7*T2^10 - 16692*T1^8*T2^10 + 
     12806*T1^9*T2^10 + 5916*T1^10*T2^10 - 20297*T1^11*T2^10 + 
     18875*T1^12*T2^10 + 758*T1^13*T2^10 - 2409*T1^14*T2^10 + 
     469*T1^15*T2^10 + 138*T1^16*T2^10 - 41*T1^3*T2^11 - 399*T1^4*T2^11 + 
     1090*T1^5*T2^11 + 1858*T1^6*T2^11 - 14360*T1^7*T2^11 + 
     10071*T1^8*T2^11 + 4867*T1^9*T2^11 - 20297*T1^10*T2^11 + 
     21409*T1^11*T2^11 - 9477*T1^12*T2^11 - 5860*T1^13*T2^11 + 
     2635*T1^14*T2^11 + 7*T1^15*T2^11 - 246*T1^16*T2^11 + 98*T1^4*T2^12 + 
     175*T1^5*T2^12 - 1703*T1^6*T2^12 + 2556*T1^7*T2^12 + 8191*T1^8*T2^12 - 
     17737*T1^9*T2^12 + 18875*T1^10*T2^12 - 9477*T1^11*T2^12 - 
     1917*T1^12*T2^12 + 7148*T1^13*T2^12 - 1213*T1^14*T2^12 - 
     623*T1^15*T2^12 + 294*T1^16*T2^12 - 123*T1^5*T2^13 + 217*T1^6*T2^13 + 
     892*T1^7*T2^13 - 4462*T1^8*T2^13 + 3732*T1^9*T2^13 + 758*T1^10*T2^13 - 
     5860*T1^11*T2^13 + 7148*T1^12*T2^13 - 4126*T1^13*T2^13 - 
     649*T1^14*T2^13 + 917*T1^15*T2^13 - 246*T1^16*T2^13 + 92*T1^6*T2^14 - 
     399*T1^7*T2^14 + 537*T1^8*T2^14 + 915*T1^9*T2^14 - 2409*T1^10*T2^14 + 
     2635*T1^11*T2^14 - 1213*T1^12*T2^14 - 649*T1^13*T2^14 + 
     1549*T1^14*T2^14 - 721*T1^15*T2^14 + 138*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 511*T1^9*T2^15 + 469*T1^10*T2^15 + 7*T1^11*T2^15 - 
     623*T1^12*T2^15 + 917*T1^13*T2^15 - 721*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 138*T1^10*T2^16 - 
     246*T1^11*T2^16 + 294*T1^12*T2^16 - 246*T1^13*T2^16 + 138*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 566] -> 
  {(2 - 13*T + 37*T^2 - 51*T^3 + 37*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 97*T1 - 275*T1^2 + 379*T1^3 - 275*T1^4 + 97*T1^5 - 15*T1^6 + 
     97*T2 - 582*T1*T2 + 1488*T1^2*T2 - 1634*T1^3*T2 + 654*T1^4*T2 + 
     188*T1^5*T2 - 192*T1^6*T2 + 45*T1^7*T2 - 275*T2^2 + 1488*T1*T2^2 - 
     3169*T1^2*T2^2 + 1641*T1^3*T2^2 + 2481*T1^4*T2^2 - 3983*T1^5*T2^2 + 
     2011*T1^6*T2^2 - 436*T1^7*T2^2 + 21*T1^8*T2^2 + 379*T2^3 - 
     1634*T1*T2^3 + 1641*T1^2*T2^3 + 5663*T1^3*T2^3 - 14687*T1^4*T2^3 + 
     12341*T1^5*T2^3 - 2169*T1^6*T2^3 - 2466*T1^7*T2^3 + 1382*T1^8*T2^3 - 
     233*T1^9*T2^3 - 275*T2^4 + 654*T1*T2^4 + 2481*T1^2*T2^4 - 
     14687*T1^3*T2^4 + 22751*T1^4*T2^4 - 5383*T1^5*T2^4 - 17277*T1^6*T2^4 + 
     16627*T1^7*T2^4 - 3805*T1^8*T2^4 - 542*T1^9*T2^4 + 317*T1^10*T2^4 + 
     97*T2^5 + 188*T1*T2^5 - 3983*T1^2*T2^5 + 12341*T1^3*T2^5 - 
     5383*T1^4*T2^5 - 36858*T1^5*T2^5 + 58998*T1^6*T2^5 - 28064*T1^7*T2^5 - 
     6115*T1^8*T2^5 + 6192*T1^9*T2^5 - 1008*T1^10*T2^5 - 163*T1^11*T2^5 - 
     15*T2^6 - 192*T1*T2^6 + 2011*T1^2*T2^6 - 2169*T1^3*T2^6 - 
     17277*T1^4*T2^6 + 58998*T1^5*T2^6 - 43860*T1^6*T2^6 - 21698*T1^7*T2^6 + 
     44965*T1^8*T2^6 - 13975*T1^9*T2^6 - 413*T1^10*T2^6 + 848*T1^11*T2^6 + 
     33*T1^12*T2^6 + 45*T1*T2^7 - 436*T1^2*T2^7 - 2466*T1^3*T2^7 + 
     16627*T1^4*T2^7 - 28064*T1^5*T2^7 - 21698*T1^6*T2^7 + 74158*T1^7*T2^7 - 
     50745*T1^8*T2^7 - 1829*T1^9*T2^7 + 7709*T1^10*T2^7 - 1632*T1^11*T2^7 - 
     215*T1^12*T2^7 + 21*T1^2*T2^8 + 1382*T1^3*T2^8 - 3805*T1^4*T2^8 - 
     6115*T1^5*T2^8 + 44965*T1^6*T2^8 - 50745*T1^7*T2^8 + 4937*T1^8*T2^8 + 
     25199*T1^9*T2^8 - 10091*T1^10*T2^8 + 186*T1^11*T2^8 + 613*T1^12*T2^8 - 
     233*T1^3*T2^9 - 542*T1^4*T2^9 + 6192*T1^5*T2^9 - 13975*T1^6*T2^9 - 
     1829*T1^7*T2^9 + 25199*T1^8*T2^9 - 21807*T1^9*T2^9 + 2085*T1^10*T2^9 + 
     2474*T1^11*T2^9 - 845*T1^12*T2^9 + 317*T1^4*T2^10 - 1008*T1^5*T2^10 - 
     413*T1^6*T2^10 + 7709*T1^7*T2^10 - 10091*T1^8*T2^10 + 2085*T1^9*T2^10 + 
     4767*T1^10*T2^10 - 2932*T1^11*T2^10 + 613*T1^12*T2^10 - 163*T1^5*T2^11 + 
     848*T1^6*T2^11 - 1632*T1^7*T2^11 + 186*T1^8*T2^11 + 2474*T1^9*T2^11 - 
     2932*T1^10*T2^11 + 1238*T1^11*T2^11 - 215*T1^12*T2^11 + 33*T1^6*T2^12 - 
     215*T1^7*T2^12 + 613*T1^8*T2^12 - 845*T1^9*T2^12 + 613*T1^10*T2^12 - 
     215*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 567] -> 
  {((1 - T + T^2)*(2 - 10*T + 19*T^2 - 21*T^3 + 19*T^4 - 10*T^5 + 2*T^6))/
    T^4, (-33 + 197*T1 - 507*T1^2 + 818*T1^3 - 967*T1^4 + 818*T1^5 - 
     507*T1^6 + 197*T1^7 - 33*T1^8 + 197*T2 - 1028*T1*T2 + 2142*T1^2*T2 - 
     2603*T1^3*T2 + 2089*T1^4*T2 - 527*T1^5*T2 - 659*T1^6*T2 + 1110*T1^7*T2 - 
     692*T1^8*T2 + 149*T1^9*T2 - 507*T2^2 + 2142*T1*T2^2 - 2762*T1^2*T2^2 + 
     499*T1^3*T2^2 + 3131*T1^4*T2^2 - 6980*T1^5*T2^2 + 6603*T1^6*T2^2 - 
     4213*T1^7*T2^2 + 834*T1^8*T2^2 + 654*T1^9*T2^2 - 259*T1^10*T2^2 + 
     818*T2^3 - 2603*T1*T2^3 + 499*T1^2*T2^3 + 5744*T1^3*T2^3 - 
     10114*T1^4*T2^3 + 11766*T1^5*T2^3 - 4482*T1^6*T2^3 - 1282*T1^7*T2^3 + 
     5348*T1^8*T2^3 - 3593*T1^9*T2^3 + 253*T1^10*T2^3 + 218*T1^11*T2^3 - 
     967*T2^4 + 2089*T1*T2^4 + 3131*T1^2*T2^4 - 10114*T1^3*T2^4 + 
     9805*T1^4*T2^4 - 6318*T1^5*T2^4 - 6785*T1^6*T2^4 + 9346*T1^7*T2^4 - 
     8891*T1^8*T2^4 + 1086*T1^9*T2^4 + 3363*T1^10*T2^4 - 1175*T1^11*T2^4 - 
     23*T1^12*T2^4 + 818*T2^5 - 527*T1*T2^5 - 6980*T1^2*T2^5 + 
     11766*T1^3*T2^5 - 6318*T1^4*T2^5 + 1092*T1^5*T2^5 + 11927*T1^6*T2^5 - 
     6479*T1^7*T2^5 + 1838*T1^8*T2^5 + 7980*T1^9*T2^5 - 7378*T1^10*T2^5 - 
     92*T1^11*T2^5 + 1225*T1^12*T2^5 - 182*T1^13*T2^5 - 507*T2^6 - 
     659*T1*T2^6 + 6603*T1^2*T2^6 - 4482*T1^3*T2^6 - 6785*T1^4*T2^6 + 
     11927*T1^5*T2^6 - 20156*T1^6*T2^6 + 5304*T1^7*T2^6 + 1856*T1^8*T2^6 - 
     8877*T1^9*T2^6 + 1245*T1^10*T2^6 + 7422*T1^11*T2^6 - 3349*T1^12*T2^6 - 
     323*T1^13*T2^6 + 237*T1^14*T2^6 + 197*T2^7 + 1110*T1*T2^7 - 
     4213*T1^2*T2^7 - 1282*T1^3*T2^7 + 9346*T1^4*T2^7 - 6479*T1^5*T2^7 + 
     5304*T1^6*T2^7 + 11678*T1^7*T2^7 - 10850*T1^8*T2^7 + 5616*T1^9*T2^7 + 
     7131*T1^10*T2^7 - 10416*T1^11*T2^7 - 642*T1^12*T2^7 + 3599*T1^13*T2^7 - 
     594*T1^14*T2^7 - 139*T1^15*T2^7 - 33*T2^8 - 692*T1*T2^8 + 
     834*T1^2*T2^8 + 5348*T1^3*T2^8 - 8891*T1^4*T2^8 + 1838*T1^5*T2^8 + 
     1856*T1^6*T2^8 - 10850*T1^7*T2^8 + 1812*T1^8*T2^8 + 7750*T1^9*T2^8 - 
     11244*T1^10*T2^8 + 4014*T1^11*T2^8 + 8961*T1^12*T2^8 - 5596*T1^13*T2^8 - 
     854*T1^14*T2^8 + 652*T1^15*T2^8 + 31*T1^16*T2^8 + 149*T1*T2^9 + 
     654*T1^2*T2^9 - 3593*T1^3*T2^9 + 1086*T1^4*T2^9 + 7980*T1^5*T2^9 - 
     8877*T1^6*T2^9 + 5616*T1^7*T2^9 + 7750*T1^8*T2^9 - 14778*T1^9*T2^9 + 
     5928*T1^10*T2^9 + 4733*T1^11*T2^9 - 11782*T1^12*T2^9 + 1726*T1^13*T2^9 + 
     4219*T1^14*T2^9 - 1050*T1^15*T2^9 - 187*T1^16*T2^9 - 259*T1^2*T2^10 + 
     253*T1^3*T2^10 + 3363*T1^4*T2^10 - 7378*T1^5*T2^10 + 1245*T1^6*T2^10 + 
     7131*T1^7*T2^10 - 11244*T1^8*T2^10 + 5928*T1^9*T2^10 + 
     10768*T1^10*T2^10 - 13673*T1^11*T2^10 + 9275*T1^12*T2^10 + 
     4526*T1^13*T2^10 - 6589*T1^14*T2^10 + 589*T1^15*T2^10 + 
     485*T1^16*T2^10 + 218*T1^3*T2^11 - 1175*T1^4*T2^11 - 92*T1^5*T2^11 + 
     7422*T1^6*T2^11 - 10416*T1^7*T2^11 + 4014*T1^8*T2^11 + 4733*T1^9*T2^11 - 
     13673*T1^10*T2^11 + 4760*T1^11*T2^11 + 3882*T1^12*T2^11 - 
     11722*T1^13*T2^11 + 6796*T1^14*T2^11 + 577*T1^15*T2^11 - 
     782*T1^16*T2^11 - 23*T1^4*T2^12 + 1225*T1^5*T2^12 - 3349*T1^6*T2^12 - 
     642*T1^7*T2^12 + 8961*T1^8*T2^12 - 11782*T1^9*T2^12 + 9275*T1^10*T2^12 + 
     3882*T1^11*T2^12 - 9735*T1^12*T2^12 + 10558*T1^13*T2^12 - 
     3117*T1^14*T2^12 - 2039*T1^15*T2^12 + 921*T1^16*T2^12 - 182*T1^5*T2^13 - 
     323*T1^6*T2^13 + 3599*T1^7*T2^13 - 5596*T1^8*T2^13 + 1726*T1^9*T2^13 + 
     4526*T1^10*T2^13 - 11722*T1^11*T2^13 + 10558*T1^12*T2^13 - 
     5992*T1^13*T2^13 - 493*T1^14*T2^13 + 2533*T1^15*T2^13 - 
     782*T1^16*T2^13 + 237*T1^6*T2^14 - 594*T1^7*T2^14 - 854*T1^8*T2^14 + 
     4219*T1^9*T2^14 - 6589*T1^10*T2^14 + 6796*T1^11*T2^14 - 
     3117*T1^12*T2^14 - 493*T1^13*T2^14 + 2742*T1^14*T2^14 - 
     2082*T1^15*T2^14 + 485*T1^16*T2^14 - 139*T1^7*T2^15 + 652*T1^8*T2^15 - 
     1050*T1^9*T2^15 + 589*T1^10*T2^15 + 577*T1^11*T2^15 - 2039*T1^12*T2^15 + 
     2533*T1^13*T2^15 - 2082*T1^14*T2^15 + 988*T1^15*T2^15 - 
     187*T1^16*T2^15 + 31*T1^8*T2^16 - 187*T1^9*T2^16 + 485*T1^10*T2^16 - 
     782*T1^11*T2^16 + 921*T1^12*T2^16 - 782*T1^13*T2^16 + 485*T1^14*T2^16 - 
     187*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 568] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-336 + 1504*T1 - 2908*T1^2 + 3568*T1^3 - 2908*T1^4 + 1504*T1^5 - 
      336*T1^6 + 1504*T2 - 5522*T1*T2 + 7596*T1^2*T2 - 5482*T1^3*T2 + 
      134*T1^4*T2 + 3780*T1^5*T2 - 3938*T1^6*T2 + 1216*T1^7*T2 - 2908*T2^2 + 
      7596*T1*T2^2 - 2615*T1^2*T2^2 - 8383*T1^3*T2^2 + 17479*T1^4*T2^2 - 
      15383*T1^5*T2^2 + 6065*T1^6*T2^2 + 2556*T1^7*T2^2 - 1788*T1^8*T2^2 + 
      3568*T2^3 - 5482*T1*T2^3 - 8383*T1^2*T2^3 + 19678*T1^3*T2^3 - 
      18940*T1^4*T2^3 + 2852*T1^5*T2^3 + 10540*T1^6*T2^3 - 12583*T1^7*T2^3 + 
      1286*T1^8*T2^3 + 1504*T1^9*T2^3 - 2908*T2^4 + 134*T1*T2^4 + 
      17479*T1^2*T2^4 - 18940*T1^3*T2^4 + 5902*T1^4*T2^4 + 13498*T1^5*T2^4 - 
      15438*T1^6*T2^4 + 4968*T1^7*T2^4 + 9215*T1^8*T2^4 - 3754*T1^9*T2^4 - 
      668*T1^10*T2^4 + 1504*T2^5 + 3780*T1*T2^5 - 15383*T1^2*T2^5 + 
      2852*T1^3*T2^5 + 13498*T1^4*T2^5 - 20301*T1^5*T2^5 + 4839*T1^6*T2^5 + 
      9963*T1^7*T2^5 - 14708*T1^8*T2^5 + 17*T1^9*T2^5 + 2700*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 3938*T1*T2^6 + 6065*T1^2*T2^6 + 
      10540*T1^3*T2^6 - 15438*T1^4*T2^6 + 4839*T1^5*T2^6 + 14928*T1^6*T2^6 - 
      17963*T1^7*T2^6 + 8144*T1^8*T2^6 + 7672*T1^9*T2^6 - 4103*T1^10*T2^6 - 
      482*T1^11*T2^6 + 48*T1^12*T2^6 + 1216*T1*T2^7 + 2556*T1^2*T2^7 - 
      12583*T1^3*T2^7 + 4968*T1^4*T2^7 + 9963*T1^5*T2^7 - 17963*T1^6*T2^7 + 
      7177*T1^7*T2^7 + 6428*T1^8*T2^7 - 12592*T1^9*T2^7 + 2817*T1^10*T2^7 + 
      1476*T1^11*T2^7 - 224*T1^12*T2^7 - 1788*T1^2*T2^8 + 1286*T1^3*T2^8 + 
      9215*T1^4*T2^8 - 14708*T1^5*T2^8 + 8144*T1^6*T2^8 + 6428*T1^7*T2^8 - 
      13196*T1^8*T2^8 + 9200*T1^9*T2^8 + 951*T1^10*T2^8 - 2602*T1^11*T2^8 + 
      452*T1^12*T2^8 + 1504*T1^3*T2^9 - 3754*T1^4*T2^9 + 17*T1^5*T2^9 + 
      7672*T1^6*T2^9 - 12592*T1^7*T2^9 + 9200*T1^8*T2^9 - 1466*T1^9*T2^9 - 
      4183*T1^10*T2^9 + 3014*T1^11*T2^9 - 560*T1^12*T2^9 - 668*T1^4*T2^10 + 
      2700*T1^5*T2^10 - 4103*T1^6*T2^10 + 2817*T1^7*T2^10 + 951*T1^8*T2^10 - 
      4183*T1^9*T2^10 + 4577*T1^10*T2^10 - 2340*T1^11*T2^10 + 
      452*T1^12*T2^10 + 64*T1^5*T2^11 - 482*T1^6*T2^11 + 1476*T1^7*T2^11 - 
      2602*T1^8*T2^11 + 3014*T1^9*T2^11 - 2340*T1^10*T2^11 + 
      1102*T1^11*T2^11 - 224*T1^12*T2^11 + 48*T1^6*T2^12 - 224*T1^7*T2^12 + 
      452*T1^8*T2^12 - 560*T1^9*T2^12 + 452*T1^10*T2^12 - 224*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 569] -> 
  {(1 - 7*T + 21*T^2 - 31*T^3 + 33*T^4 - 31*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 42*T1^2 + 62*T1^3 - 66*T1^4 + 62*T1^5 - 42*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 245*T1^2*T2 - 287*T1^3*T2 + 245*T1^4*T2 - 
     203*T1^5*T2 + 77*T1^6*T2 + 49*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     42*T2^2 + 245*T1*T2^2 - 541*T1^2*T2^2 + 291*T1^3*T2^2 + 95*T1^4*T2^2 - 
     269*T1^5*T2^2 + 599*T1^6*T2^2 - 717*T1^7*T2^2 + 299*T1^8*T2^2 - 
     49*T1^9*T2^2 + 62*T2^3 - 287*T1*T2^3 + 291*T1^2*T2^3 + 1052*T1^3*T2^3 - 
     2176*T1^4*T2^3 + 2222*T1^5*T2^3 - 2350*T1^6*T2^3 + 1748*T1^7*T2^3 - 
     88*T1^8*T2^3 - 486*T1^9*T2^3 + 217*T1^10*T2^3 - 31*T1^11*T2^3 - 
     66*T2^4 + 245*T1*T2^4 + 95*T1^2*T2^4 - 2176*T1^3*T2^4 + 3004*T1^4*T2^4 - 
     1266*T1^5*T2^4 + 466*T1^6*T2^4 + 774*T1^7*T2^4 - 3188*T1^8*T2^4 + 
     2412*T1^9*T2^4 - 171*T1^10*T2^4 - 245*T1^11*T2^4 + 66*T1^12*T2^4 + 
     62*T2^5 - 203*T1*T2^5 - 269*T1^2*T2^5 + 2222*T1^3*T2^5 - 
     1266*T1^4*T2^5 - 3725*T1^5*T2^5 + 4579*T1^6*T2^5 - 5389*T1^7*T2^5 + 
     7367*T1^8*T2^5 - 2433*T1^9*T2^5 - 2318*T1^10*T2^5 + 676*T1^11*T2^5 + 
     189*T1^12*T2^5 - 93*T1^13*T2^5 - 42*T2^6 + 77*T1*T2^6 + 599*T1^2*T2^6 - 
     2350*T1^3*T2^6 + 466*T1^4*T2^6 + 4579*T1^5*T2^6 - 1595*T1^6*T2^6 + 
     1877*T1^7*T2^6 - 3275*T1^8*T2^6 - 4815*T1^9*T2^6 + 5436*T1^10*T2^6 + 
     2270*T1^11*T2^6 - 1445*T1^12*T2^6 + 63*T1^13*T2^6 + 84*T1^14*T2^6 + 
     14*T2^7 + 49*T1*T2^7 - 717*T1^2*T2^7 + 1748*T1^3*T2^7 + 774*T1^4*T2^7 - 
     5389*T1^5*T2^7 + 1877*T1^6*T2^7 - 6982*T1^7*T2^7 + 8914*T1^8*T2^7 - 
     556*T1^9*T2^7 + 5727*T1^10*T2^7 - 10887*T1^11*T2^7 + 480*T1^12*T2^7 + 
     1446*T1^13*T2^7 - 343*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     299*T1^2*T2^8 - 88*T1^3*T2^8 - 3188*T1^4*T2^8 + 7367*T1^5*T2^8 - 
     3275*T1^6*T2^8 + 8914*T1^7*T2^8 - 5436*T1^8*T2^8 - 4534*T1^9*T2^8 - 
     1901*T1^10*T2^8 + 577*T1^11*T2^8 + 11552*T1^12*T2^8 - 4588*T1^13*T2^8 + 
     173*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 486*T1^3*T2^9 + 2412*T1^4*T2^9 - 2433*T1^5*T2^9 - 
     4815*T1^6*T2^9 - 556*T1^7*T2^9 - 4534*T1^8*T2^9 + 11362*T1^9*T2^9 - 
     2989*T1^10*T2^9 + 6301*T1^11*T2^9 - 14094*T1^12*T2^9 + 1144*T1^13*T2^9 + 
     1677*T1^14*T2^9 - 441*T1^15*T2^9 - 42*T1^16*T2^9 + 217*T1^3*T2^10 - 
     171*T1^4*T2^10 - 2318*T1^5*T2^10 + 5436*T1^6*T2^10 + 5727*T1^7*T2^10 - 
     1901*T1^8*T2^10 - 2989*T1^9*T2^10 - 3581*T1^10*T2^10 - 
     3667*T1^11*T2^10 + 10406*T1^12*T2^10 + 2302*T1^13*T2^10 - 
     2215*T1^14*T2^10 + 203*T1^15*T2^10 + 126*T1^16*T2^10 - 31*T1^3*T2^11 - 
     245*T1^4*T2^11 + 676*T1^5*T2^11 + 2270*T1^6*T2^11 - 10887*T1^7*T2^11 + 
     577*T1^8*T2^11 + 6301*T1^9*T2^11 - 3667*T1^10*T2^11 + 
     11669*T1^11*T2^11 - 12054*T1^12*T2^11 - 2270*T1^13*T2^11 + 
     1621*T1^14*T2^11 + 147*T1^15*T2^11 - 186*T1^16*T2^11 + 66*T1^4*T2^12 + 
     189*T1^5*T2^12 - 1445*T1^6*T2^12 + 480*T1^7*T2^12 + 11552*T1^8*T2^12 - 
     14094*T1^9*T2^12 + 10406*T1^10*T2^12 - 12054*T1^11*T2^12 + 
     5360*T1^12*T2^12 + 5068*T1^13*T2^12 - 1711*T1^14*T2^12 - 
     301*T1^15*T2^12 + 198*T1^16*T2^12 - 93*T1^5*T2^13 + 63*T1^6*T2^13 + 
     1446*T1^7*T2^13 - 4588*T1^8*T2^13 + 1144*T1^9*T2^13 + 2302*T1^10*T2^13 - 
     2270*T1^11*T2^13 + 5068*T1^12*T2^13 - 5728*T1^13*T2^13 + 
     669*T1^14*T2^13 + 567*T1^15*T2^13 - 186*T1^16*T2^13 + 84*T1^6*T2^14 - 
     343*T1^7*T2^14 + 173*T1^8*T2^14 + 1677*T1^9*T2^14 - 2215*T1^10*T2^14 + 
     1621*T1^11*T2^14 - 1711*T1^12*T2^14 + 669*T1^13*T2^14 + 
     1013*T1^14*T2^14 - 637*T1^15*T2^14 + 126*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 441*T1^9*T2^15 + 203*T1^10*T2^15 + 147*T1^11*T2^15 - 
     301*T1^12*T2^15 + 567*T1^13*T2^15 - 637*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 126*T1^10*T2^16 - 
     186*T1^11*T2^16 + 198*T1^12*T2^16 - 186*T1^13*T2^16 + 126*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 570] -> 
  {(2 - 15*T + 47*T^2 - 67*T^3 + 47*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-15 + 113*T1 - 355*T1^2 + 507*T1^3 - 355*T1^4 + 113*T1^5 - 15*T1^6 + 
     113*T2 - 798*T1*T2 + 2272*T1^2*T2 - 2554*T1^3*T2 + 866*T1^4*T2 + 
     412*T1^5*T2 - 288*T1^6*T2 + 53*T1^7*T2 - 355*T2^2 + 2272*T1*T2^2 - 
     5352*T1^2*T2^2 + 2398*T1^3*T2^2 + 5524*T1^4*T2^2 - 7378*T1^5*T2^2 + 
     3108*T1^6*T2^2 - 548*T1^7*T2^2 + 21*T1^8*T2^2 + 507*T2^3 - 
     2554*T1*T2^3 + 2398*T1^2*T2^3 + 13197*T1^3*T2^3 - 31539*T1^4*T2^3 + 
     23907*T1^5*T2^3 - 2775*T1^6*T2^3 - 4511*T1^7*T2^3 + 2066*T1^8*T2^3 - 
     297*T1^9*T2^3 - 355*T2^4 + 866*T1*T2^4 + 5524*T1^2*T2^4 - 
     31539*T1^3*T2^4 + 47088*T1^4*T2^4 - 6320*T1^5*T2^4 - 40512*T1^6*T2^4 + 
     33719*T1^7*T2^4 - 6954*T1^8*T2^4 - 754*T1^9*T2^4 + 397*T1^10*T2^4 + 
     113*T2^5 + 412*T1*T2^5 - 7378*T1^2*T2^5 + 23907*T1^3*T2^5 - 
     6320*T1^4*T2^5 - 90840*T1^5*T2^5 + 139566*T1^6*T2^5 - 62673*T1^7*T2^5 - 
     11915*T1^8*T2^5 + 10999*T1^9*T2^5 - 1568*T1^10*T2^5 - 187*T1^11*T2^5 - 
     15*T2^6 - 288*T1*T2^6 + 3108*T1^2*T2^6 - 2775*T1^3*T2^6 - 
     40512*T1^4*T2^6 + 139566*T1^5*T2^6 - 108840*T1^6*T2^6 - 
     50030*T1^7*T2^6 + 99126*T1^8*T2^6 - 28353*T1^9*T2^6 - 428*T1^10*T2^6 + 
     1152*T1^11*T2^6 + 33*T1^12*T2^6 + 53*T1*T2^7 - 548*T1^2*T2^7 - 
     4511*T1^3*T2^7 + 33719*T1^4*T2^7 - 62673*T1^5*T2^7 - 50030*T1^6*T2^7 + 
     180376*T1^7*T2^7 - 119026*T1^8*T2^7 - 2103*T1^9*T2^7 + 
     13866*T1^10*T2^7 - 2528*T1^11*T2^7 - 247*T1^12*T2^7 + 21*T1^2*T2^8 + 
     2066*T1^3*T2^8 - 6954*T1^4*T2^8 - 11915*T1^5*T2^8 + 99126*T1^6*T2^8 - 
     119026*T1^7*T2^8 + 11526*T1^8*T2^8 + 53343*T1^9*T2^8 - 
     19432*T1^10*T2^8 + 446*T1^11*T2^8 + 773*T1^12*T2^8 - 297*T1^3*T2^9 - 
     754*T1^4*T2^9 + 10999*T1^5*T2^9 - 28353*T1^6*T2^9 - 2103*T1^7*T2^9 + 
     53343*T1^8*T2^9 - 44325*T1^9*T2^9 + 4090*T1^10*T2^9 + 3866*T1^11*T2^9 - 
     1101*T1^12*T2^9 + 397*T1^4*T2^10 - 1568*T1^5*T2^10 - 428*T1^6*T2^10 + 
     13866*T1^7*T2^10 - 19432*T1^8*T2^10 + 4090*T1^9*T2^10 + 
     8032*T1^10*T2^10 - 4388*T1^11*T2^10 + 773*T1^12*T2^10 - 187*T1^5*T2^11 + 
     1152*T1^6*T2^11 - 2528*T1^7*T2^11 + 446*T1^8*T2^11 + 3866*T1^9*T2^11 - 
     4388*T1^10*T2^11 + 1662*T1^11*T2^11 - 247*T1^12*T2^11 + 33*T1^6*T2^12 - 
     247*T1^7*T2^12 + 773*T1^8*T2^12 - 1101*T1^9*T2^12 + 773*T1^10*T2^12 - 
     247*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 571] -> 
  {-(((1 - T + T^2)^2*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^4), 
   -((-41 + 245*T1 - 671*T1^2 + 1176*T1^3 - 1397*T1^4 + 1176*T1^5 - 
      671*T1^6 + 245*T1^7 - 41*T1^8 + 245*T2 - 1268*T1*T2 + 2838*T1^2*T2 - 
      3817*T1^3*T2 + 2717*T1^4*T2 - 331*T1^5*T2 - 1633*T1^6*T2 + 
      1758*T1^7*T2 - 932*T1^8*T2 + 197*T1^9*T2 - 671*T2^2 + 2838*T1*T2^2 - 
      4372*T1^2*T2^2 + 2430*T1^3*T2^2 + 4263*T1^4*T2^2 - 9278*T1^5*T2^2 + 
      9015*T1^6*T2^2 - 3642*T1^7*T2^2 - 280*T1^8*T2^2 + 1254*T1^9*T2^2 - 
      407*T1^10*T2^2 + 1176*T2^3 - 3817*T1*T2^3 + 2430*T1^2*T2^3 + 
      5010*T1^3*T2^3 - 15620*T1^4*T2^3 + 14445*T1^5*T2^3 - 4179*T1^6*T2^3 - 
      7772*T1^7*T2^3 + 8070*T1^8*T2^3 - 3510*T1^9*T2^3 - 433*T1^10*T2^3 + 
      480*T1^11*T2^3 - 1397*T2^4 + 2717*T1*T2^4 + 4263*T1^2*T2^4 - 
      15620*T1^3*T2^4 + 22709*T1^4*T2^4 - 7043*T1^5*T2^4 - 10277*T1^6*T2^4 + 
      17677*T1^7*T2^4 - 4339*T1^8*T2^4 - 4484*T1^9*T2^4 + 5775*T1^10*T2^4 - 
      1123*T1^11*T2^4 - 293*T1^12*T2^4 + 1176*T2^5 - 331*T1*T2^5 - 
      9278*T1^2*T2^5 + 14445*T1^3*T2^5 - 7043*T1^4*T2^5 - 21630*T1^5*T2^5 + 
      28441*T1^6*T2^5 - 14693*T1^7*T2^5 - 13860*T1^8*T2^5 + 15847*T1^9*T2^5 - 
      7091*T1^10*T2^5 - 2438*T1^11*T2^5 + 1661*T1^12*T2^5 + 16*T1^13*T2^5 - 
      671*T2^6 - 1633*T1*T2^6 + 9015*T1^2*T2^6 - 4179*T1^3*T2^6 - 
      10277*T1^4*T2^6 + 28441*T1^5*T2^6 - 5538*T1^6*T2^6 - 24672*T1^7*T2^6 + 
      42618*T1^8*T2^6 - 17483*T1^9*T2^6 - 3251*T1^10*T2^6 + 
      10077*T1^11*T2^6 - 2217*T1^12*T2^6 - 817*T1^13*T2^6 + 121*T1^14*T2^6 + 
      245*T2^7 + 1758*T1*T2^7 - 3642*T1^2*T2^7 - 7772*T1^3*T2^7 + 
      17677*T1^4*T2^7 - 14693*T1^5*T2^7 - 24672*T1^6*T2^7 + 42748*T1^7*T2^7 - 
      29732*T1^8*T2^7 - 12336*T1^9*T2^7 + 22861*T1^10*T2^7 - 
      12533*T1^11*T2^7 - 2468*T1^12*T2^7 + 3090*T1^13*T2^7 - 186*T1^14*T2^7 - 
      91*T1^15*T2^7 - 41*T2^8 - 932*T1*T2^8 - 280*T1^2*T2^8 + 
      8070*T1^3*T2^8 - 4339*T1^4*T2^8 - 13860*T1^5*T2^8 + 42618*T1^6*T2^8 - 
      29732*T1^7*T2^8 - 7260*T1^8*T2^8 + 38500*T1^9*T2^8 - 24074*T1^10*T2^8 - 
      180*T1^11*T2^8 + 10769*T1^12*T2^8 - 4090*T1^13*T2^8 - 880*T1^14*T2^8 + 
      412*T1^15*T2^8 + 23*T1^16*T2^8 + 197*T1*T2^9 + 1254*T1^2*T2^9 - 
      3510*T1^3*T2^9 - 4484*T1^4*T2^9 + 15847*T1^5*T2^9 - 17483*T1^6*T2^9 - 
      12336*T1^7*T2^9 + 38500*T1^8*T2^9 - 33980*T1^9*T2^9 + 
      20071*T1^11*T2^9 - 14363*T1^12*T2^9 + 820*T1^13*T2^9 + 
      3222*T1^14*T2^9 - 690*T1^15*T2^9 - 139*T1^16*T2^9 - 407*T1^2*T2^10 - 
      433*T1^3*T2^10 + 5775*T1^4*T2^10 - 7091*T1^5*T2^10 - 3251*T1^6*T2^10 + 
      22861*T1^7*T2^10 - 24074*T1^8*T2^10 + 24082*T1^10*T2^10 - 
      23063*T1^11*T2^10 + 3775*T1^12*T2^10 + 7165*T1^13*T2^10 - 
      5457*T1^14*T2^10 + 383*T1^15*T2^10 + 385*T1^16*T2^10 + 480*T1^3*T2^11 - 
      1123*T1^4*T2^11 - 2438*T1^5*T2^11 + 10077*T1^6*T2^11 - 
      12533*T1^7*T2^11 - 180*T1^8*T2^11 + 20071*T1^9*T2^11 - 
      23063*T1^10*T2^11 + 7590*T1^11*T2^11 + 10357*T1^12*T2^11 - 
      11459*T1^13*T2^11 + 4402*T1^14*T2^11 + 869*T1^15*T2^11 - 
      680*T1^16*T2^11 - 293*T1^4*T2^12 + 1661*T1^5*T2^12 - 2217*T1^6*T2^12 - 
      2468*T1^7*T2^12 + 10769*T1^8*T2^12 - 14363*T1^9*T2^12 + 
      3775*T1^10*T2^12 + 10357*T1^11*T2^12 - 16279*T1^12*T2^12 + 
      8668*T1^13*T2^12 - 705*T1^14*T2^12 - 2179*T1^15*T2^12 + 
      811*T1^16*T2^12 + 16*T1^5*T2^13 - 817*T1^6*T2^13 + 3090*T1^7*T2^13 - 
      4090*T1^8*T2^13 + 820*T1^9*T2^13 + 7165*T1^10*T2^13 - 
      11459*T1^11*T2^13 + 8668*T1^12*T2^13 - 1030*T1^13*T2^13 - 
      2850*T1^14*T2^13 + 2567*T1^15*T2^13 - 680*T1^16*T2^13 + 
      121*T1^6*T2^14 - 186*T1^7*T2^14 - 880*T1^8*T2^14 + 3222*T1^9*T2^14 - 
      5457*T1^10*T2^14 + 4402*T1^11*T2^14 - 705*T1^12*T2^14 - 
      2850*T1^13*T2^14 + 3212*T1^14*T2^14 - 1770*T1^15*T2^14 + 
      385*T1^16*T2^14 - 91*T1^7*T2^15 + 412*T1^8*T2^15 - 690*T1^9*T2^15 + 
      383*T1^10*T2^15 + 869*T1^11*T2^15 - 2179*T1^12*T2^15 + 
      2567*T1^13*T2^15 - 1770*T1^14*T2^15 + 748*T1^15*T2^15 - 
      139*T1^16*T2^15 + 23*T1^8*T2^16 - 139*T1^9*T2^16 + 385*T1^10*T2^16 - 
      680*T1^11*T2^16 + 811*T1^12*T2^16 - 680*T1^13*T2^16 + 385*T1^14*T2^16 - 
      139*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 572] -> 
  {-(((2 - 3*T + 2*T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((-41 + 184*T1 - 429*T1^2 + 715*T1^3 - 837*T1^4 + 715*T1^5 - 429*T1^6 + 
      184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1262*T1^2*T2 - 1662*T1^3*T2 + 
      1178*T1^4*T2 - 190*T1^5*T2 - 654*T1^6*T2 + 722*T1^7*T2 - 480*T1^8*T2 + 
      148*T1^9*T2 - 429*T2^2 + 1262*T1*T2^2 - 1770*T1^2*T2^2 + 
      1697*T1^3*T2^2 + 120*T1^4*T2^2 - 1572*T1^5*T2^2 + 1800*T1^6*T2^2 - 
      487*T1^7*T2^2 - 174*T1^8*T2^2 + 506*T1^9*T2^2 - 261*T1^10*T2^2 + 
      715*T2^3 - 1662*T1*T2^3 + 1697*T1^2*T2^3 - 1187*T1^3*T2^3 - 
      1576*T1^4*T2^3 + 1893*T1^5*T2^3 - 711*T1^6*T2^3 - 1492*T1^7*T2^3 + 
      913*T1^8*T2^3 - 634*T1^9*T2^3 - 150*T1^10*T2^3 + 295*T1^11*T2^3 - 
      837*T2^4 + 1178*T1*T2^4 + 120*T1^2*T2^4 - 1576*T1^3*T2^4 + 
      5246*T1^4*T2^4 - 3481*T1^5*T2^4 + 1408*T1^6*T2^4 + 591*T1^7*T2^4 + 
      1658*T1^8*T2^4 - 1086*T1^9*T2^4 + 1338*T1^10*T2^4 - 514*T1^11*T2^4 - 
      181*T1^12*T2^4 + 715*T2^5 - 190*T1*T2^5 - 1572*T1^2*T2^5 + 
      1893*T1^3*T2^5 - 3481*T1^4*T2^5 - 1794*T1^5*T2^5 + 2685*T1^6*T2^5 - 
      1683*T1^7*T2^5 - 3034*T1^8*T2^5 + 1078*T1^9*T2^5 - 1019*T1^10*T2^5 - 
      429*T1^11*T2^5 + 746*T1^12*T2^5 + 15*T1^13*T2^5 - 429*T2^6 - 
      654*T1*T2^6 + 1800*T1^2*T2^6 - 711*T1^3*T2^6 + 1408*T1^4*T2^6 + 
      2685*T1^5*T2^6 + 1909*T1^6*T2^6 - 5783*T1^7*T2^6 + 8377*T1^8*T2^6 - 
      1767*T1^9*T2^6 + 358*T1^10*T2^6 + 1431*T1^11*T2^6 - 804*T1^12*T2^6 - 
      402*T1^13*T2^6 + 75*T1^14*T2^6 + 184*T2^7 + 722*T1*T2^7 - 
      487*T1^2*T2^7 - 1492*T1^3*T2^7 + 591*T1^4*T2^7 - 1683*T1^5*T2^7 - 
      5783*T1^6*T2^7 + 7605*T1^7*T2^7 - 4939*T1^8*T2^7 - 3354*T1^9*T2^7 + 
      2517*T1^10*T2^7 - 2020*T1^11*T2^7 + 48*T1^12*T2^7 + 962*T1^13*T2^7 - 
      34*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 174*T1^2*T2^8 + 
      913*T1^3*T2^8 + 1658*T1^4*T2^8 - 3034*T1^5*T2^8 + 8377*T1^6*T2^8 - 
      4939*T1^7*T2^8 - 1752*T1^8*T2^8 + 7143*T1^9*T2^8 - 2865*T1^10*T2^8 + 
      582*T1^11*T2^8 + 954*T1^12*T2^8 - 977*T1^13*T2^8 - 348*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 506*T1^2*T2^9 - 
      634*T1^3*T2^9 - 1086*T1^4*T2^9 + 1078*T1^5*T2^9 - 1767*T1^6*T2^9 - 
      3354*T1^7*T2^9 + 7143*T1^8*T2^9 - 5401*T1^9*T2^9 - 925*T1^10*T2^9 + 
      2433*T1^11*T2^9 - 1533*T1^12*T2^9 + 454*T1^13*T2^9 + 815*T1^14*T2^9 - 
      250*T1^15*T2^9 - 104*T1^16*T2^9 - 261*T1^2*T2^10 - 150*T1^3*T2^10 + 
      1338*T1^4*T2^10 - 1019*T1^5*T2^10 + 358*T1^6*T2^10 + 2517*T1^7*T2^10 - 
      2865*T1^8*T2^10 - 925*T1^9*T2^10 + 3603*T1^10*T2^10 - 
      1935*T1^11*T2^10 - 692*T1^12*T2^10 + 1123*T1^13*T2^10 - 
      1266*T1^14*T2^10 + 102*T1^15*T2^10 + 243*T1^16*T2^10 + 295*T1^3*T2^11 - 
      514*T1^4*T2^11 - 429*T1^5*T2^11 + 1431*T1^6*T2^11 - 2020*T1^7*T2^11 + 
      582*T1^8*T2^11 + 2433*T1^9*T2^11 - 1935*T1^10*T2^11 - 658*T1^11*T2^11 + 
      2539*T1^12*T2^11 - 1481*T1^13*T2^11 + 714*T1^14*T2^11 + 
      422*T1^15*T2^11 - 405*T1^16*T2^11 - 181*T1^4*T2^12 + 746*T1^5*T2^12 - 
      804*T1^6*T2^12 + 48*T1^7*T2^12 + 954*T1^8*T2^12 - 1533*T1^9*T2^12 - 
      692*T1^10*T2^12 + 2539*T1^11*T2^12 - 2634*T1^12*T2^12 + 
      538*T1^13*T2^12 + 414*T1^14*T2^12 - 946*T1^15*T2^12 + 475*T1^16*T2^12 + 
      15*T1^5*T2^13 - 402*T1^6*T2^13 + 962*T1^7*T2^13 - 977*T1^8*T2^13 + 
      454*T1^9*T2^13 + 1123*T1^10*T2^13 - 1481*T1^11*T2^13 + 
      538*T1^12*T2^13 + 1123*T1^13*T2^13 - 1369*T1^14*T2^13 + 
      1110*T1^15*T2^13 - 405*T1^16*T2^13 + 75*T1^6*T2^14 - 34*T1^7*T2^14 - 
      348*T1^8*T2^14 + 815*T1^9*T2^14 - 1266*T1^10*T2^14 + 714*T1^11*T2^14 + 
      414*T1^12*T2^14 - 1369*T1^13*T2^14 + 1248*T1^14*T2^14 - 
      790*T1^15*T2^14 + 243*T1^16*T2^14 - 68*T1^7*T2^15 + 204*T1^8*T2^15 - 
      250*T1^9*T2^15 + 102*T1^10*T2^15 + 422*T1^11*T2^15 - 946*T1^12*T2^15 + 
      1110*T1^13*T2^15 - 790*T1^14*T2^15 + 402*T1^15*T2^15 - 
      104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 243*T1^10*T2^16 - 
      405*T1^11*T2^16 + 475*T1^12*T2^16 - 405*T1^13*T2^16 + 243*T1^14*T2^16 - 
      104*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 573] -> 
  {-((2 - 9*T + 19*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-25 + 112*T1 - 237*T1^2 + 339*T1^3 - 365*T1^4 + 339*T1^5 - 
      237*T1^6 + 112*T1^7 - 25*T1^8 + 112*T2 - 426*T1*T2 + 722*T1^2*T2 - 
      798*T1^3*T2 + 602*T1^4*T2 - 406*T1^5*T2 + 30*T1^6*T2 + 218*T1^7*T2 - 
      228*T1^8*T2 + 76*T1^9*T2 - 237*T2^2 + 722*T1*T2^2 - 818*T1^2*T2^2 + 
      408*T1^3*T2^2 + 270*T1^4*T2^2 - 488*T1^5*T2^2 + 1030*T1^6*T2^2 - 
      960*T1^7*T2^2 + 474*T1^8*T2^2 + 38*T1^9*T2^2 - 85*T1^10*T2^2 + 
      339*T2^3 - 798*T1*T2^3 + 408*T1^2*T2^3 + 411*T1^3*T2^3 - 
      1114*T1^4*T2^3 + 795*T1^5*T2^3 - 1329*T1^6*T2^3 + 596*T1^7*T2^3 + 
      321*T1^8*T2^3 - 789*T1^9*T2^3 + 318*T1^10*T2^3 + 15*T1^11*T2^3 - 
      365*T2^4 + 602*T1*T2^4 + 270*T1^2*T2^4 - 1114*T1^3*T2^4 + 
      1437*T1^4*T2^4 - 547*T1^5*T2^4 + 1263*T1^6*T2^4 + 137*T1^7*T2^4 - 
      1047*T1^8*T2^4 + 884*T1^9*T2^4 + 304*T1^10*T2^4 - 514*T1^11*T2^4 + 
      99*T1^12*T2^4 + 339*T2^5 - 406*T1*T2^5 - 488*T1^2*T2^5 + 
      795*T1^3*T2^5 - 547*T1^4*T2^5 - 518*T1^5*T2^5 - 689*T1^6*T2^5 - 
      959*T1^7*T2^5 + 1156*T1^8*T2^5 - 34*T1^9*T2^5 - 1149*T1^10*T2^5 + 
      403*T1^11*T2^5 + 458*T1^12*T2^5 - 201*T1^13*T2^5 - 237*T2^6 + 
      30*T1*T2^6 + 1030*T1^2*T2^6 - 1329*T1^3*T2^6 + 1263*T1^4*T2^6 - 
      689*T1^5*T2^6 + 1949*T1^6*T2^6 + 475*T1^7*T2^6 - 651*T1^8*T2^6 - 
      437*T1^9*T2^6 + 365*T1^10*T2^6 + 1065*T1^11*T2^6 - 1182*T1^12*T2^6 - 
      78*T1^13*T2^6 + 219*T1^14*T2^6 + 112*T2^7 + 218*T1*T2^7 - 
      960*T1^2*T2^7 + 596*T1^3*T2^7 + 137*T1^4*T2^7 - 959*T1^5*T2^7 + 
      475*T1^6*T2^7 - 2773*T1^7*T2^7 + 1619*T1^8*T2^7 + 412*T1^9*T2^7 + 
      355*T1^10*T2^7 - 1060*T1^11*T2^7 + 38*T1^12*T2^7 + 1263*T1^13*T2^7 - 
      358*T1^14*T2^7 - 140*T1^15*T2^7 - 25*T2^8 - 228*T1*T2^8 + 
      474*T1^2*T2^8 + 321*T1^3*T2^8 - 1047*T1^4*T2^8 + 1156*T1^5*T2^8 - 
      651*T1^6*T2^8 + 1619*T1^7*T2^8 + 276*T1^8*T2^8 - 1819*T1^9*T2^8 - 
      421*T1^10*T2^8 + 184*T1^11*T2^8 + 1073*T1^12*T2^8 - 1389*T1^13*T2^8 - 
      404*T1^14*T2^8 + 456*T1^15*T2^8 + 39*T1^16*T2^8 + 76*T1*T2^9 + 
      38*T1^2*T2^9 - 789*T1^3*T2^9 + 884*T1^4*T2^9 - 34*T1^5*T2^9 - 
      437*T1^6*T2^9 + 412*T1^7*T2^9 - 1819*T1^8*T2^9 + 2573*T1^9*T2^9 + 
      349*T1^10*T2^9 + 877*T1^11*T2^9 - 1231*T1^12*T2^9 + 326*T1^13*T2^9 + 
      1434*T1^14*T2^9 - 538*T1^15*T2^9 - 176*T1^16*T2^9 - 85*T1^2*T2^10 + 
      318*T1^3*T2^10 + 304*T1^4*T2^10 - 1149*T1^5*T2^10 + 365*T1^6*T2^10 + 
      355*T1^7*T2^10 - 421*T1^8*T2^10 + 349*T1^9*T2^10 - 3021*T1^10*T2^10 + 
      607*T1^11*T2^10 - 533*T1^12*T2^10 + 1245*T1^13*T2^10 - 
      1908*T1^14*T2^10 + 210*T1^15*T2^10 + 371*T1^16*T2^10 + 15*T1^3*T2^11 - 
      514*T1^4*T2^11 + 403*T1^5*T2^11 + 1065*T1^6*T2^11 - 1060*T1^7*T2^11 + 
      184*T1^8*T2^11 + 877*T1^9*T2^11 + 607*T1^10*T2^11 + 1858*T1^11*T2^11 - 
      547*T1^12*T2^11 - 879*T1^13*T2^11 + 1294*T1^14*T2^11 + 
      350*T1^15*T2^11 - 525*T1^16*T2^11 + 99*T1^4*T2^12 + 458*T1^5*T2^12 - 
      1182*T1^6*T2^12 + 38*T1^7*T2^12 + 1073*T1^8*T2^12 - 1231*T1^9*T2^12 - 
      533*T1^10*T2^12 - 547*T1^11*T2^12 - 1411*T1^12*T2^12 + 
      2036*T1^13*T2^12 - 1148*T1^14*T2^12 - 658*T1^15*T2^12 + 
      563*T1^16*T2^12 - 201*T1^5*T2^13 - 78*T1^6*T2^13 + 1263*T1^7*T2^13 - 
      1389*T1^8*T2^13 + 326*T1^9*T2^13 + 1245*T1^10*T2^13 - 879*T1^11*T2^13 + 
      2036*T1^12*T2^13 - 1479*T1^13*T2^13 + 66*T1^14*T2^13 + 
      1038*T1^15*T2^13 - 525*T1^16*T2^13 + 219*T1^6*T2^14 - 358*T1^7*T2^14 - 
      404*T1^8*T2^14 + 1434*T1^9*T2^14 - 1908*T1^10*T2^14 + 
      1294*T1^11*T2^14 - 1148*T1^12*T2^14 + 66*T1^13*T2^14 + 
      888*T1^14*T2^14 - 1042*T1^15*T2^14 + 371*T1^16*T2^14 - 140*T1^7*T2^15 + 
      456*T1^8*T2^15 - 538*T1^9*T2^15 + 210*T1^10*T2^15 + 350*T1^11*T2^15 - 
      658*T1^12*T2^15 + 1038*T1^13*T2^15 - 1042*T1^14*T2^15 + 
      654*T1^15*T2^15 - 176*T1^16*T2^15 + 39*T1^8*T2^16 - 176*T1^9*T2^16 + 
      371*T1^10*T2^16 - 525*T1^11*T2^16 + 563*T1^12*T2^16 - 525*T1^13*T2^16 + 
      371*T1^14*T2^16 - 176*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 574] -> 
  {((1 - T + T^2)^2*(3 - 3*T + T^2 - 3*T^3 + 3*T^4))/T^4, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (219 - 432*T1 + 503*T1^2 - 505*T1^3 + 503*T1^4 - 432*T1^5 + 219*T1^6 - 
       432*T2 + 507*T1*T2 - 304*T1^2*T2 + 191*T1^3*T2 - 187*T1^4*T2 + 
       47*T1^5*T2 + 264*T1^6*T2 - 351*T1^7*T2 + 503*T2^2 - 304*T1*T2^2 + 
       28*T1^2*T2^2 - 63*T1^3*T2^2 + 158*T1^4*T2^2 + 6*T1^5*T2^2 - 
       248*T1^6*T2^2 + 110*T1^7*T2^2 + 296*T1^8*T2^2 - 505*T2^3 + 
       191*T1*T2^3 - 63*T1^2*T2^3 + 145*T1^3*T2^3 - 136*T1^4*T2^3 - 
       94*T1^5*T2^3 + 280*T1^6*T2^3 - 150*T1^7*T2^3 - 88*T1^8*T2^3 - 
       253*T1^9*T2^3 + 503*T2^4 - 187*T1*T2^4 + 158*T1^2*T2^4 - 
       136*T1^3*T2^4 + 66*T1^4*T2^4 + 99*T1^5*T2^4 - 225*T1^6*T2^4 + 
       137*T1^7*T2^4 + 95*T1^8*T2^4 + 92*T1^9*T2^4 + 206*T1^10*T2^4 - 
       432*T2^5 + 47*T1*T2^5 + 6*T1^2*T2^5 - 94*T1^3*T2^5 + 99*T1^4*T2^5 - 
       101*T1^5*T2^5 + 111*T1^6*T2^5 + 23*T1^7*T2^5 - 283*T1^8*T2^5 + 
       120*T1^9*T2^5 - 250*T1^10*T2^5 - 81*T1^11*T2^5 + 219*T2^6 + 
       264*T1*T2^6 - 248*T1^2*T2^6 + 280*T1^3*T2^6 - 225*T1^4*T2^6 + 
       111*T1^5*T2^6 - 36*T1^6*T2^6 - 107*T1^7*T2^6 + 251*T1^8*T2^6 - 
       56*T1^9*T2^6 + 118*T1^10*T2^6 + 156*T1^11*T2^6 + 3*T1^12*T2^6 - 
       351*T1*T2^7 + 110*T1^2*T2^7 - 150*T1^3*T2^7 + 137*T1^4*T2^7 + 
       23*T1^5*T2^7 - 107*T1^6*T2^7 + 105*T1^7*T2^7 - 53*T1^8*T2^7 - 
       52*T1^9*T2^7 - 36*T1^10*T2^7 - 187*T1^11*T2^7 + 296*T1^2*T2^8 - 
       88*T1^3*T2^8 + 95*T1^4*T2^8 - 283*T1^5*T2^8 + 251*T1^6*T2^8 - 
       53*T1^7*T2^8 - 40*T1^8*T2^8 - 10*T1^9*T2^8 + 32*T1^10*T2^8 + 
       191*T1^11*T2^8 - T1^12*T2^8 - 253*T1^3*T2^9 + 92*T1^4*T2^9 + 
       120*T1^5*T2^9 - 56*T1^6*T2^9 - 52*T1^7*T2^9 - 10*T1^8*T2^9 + 
       79*T1^9*T2^9 + 33*T1^10*T2^9 - 187*T1^11*T2^9 - T1^12*T2^9 + 
       206*T1^4*T2^10 - 250*T1^5*T2^10 + 118*T1^6*T2^10 - 36*T1^7*T2^10 + 
       32*T1^8*T2^10 + 33*T1^9*T2^10 - 158*T1^10*T2^10 + 164*T1^11*T2^10 - 
       T1^12*T2^10 - 81*T1^5*T2^11 + 156*T1^6*T2^11 - 187*T1^7*T2^11 + 
       191*T1^8*T2^11 - 187*T1^9*T2^11 + 164*T1^10*T2^11 - 87*T1^11*T2^11 + 
       3*T1^6*T2^12 - T1^8*T2^12 - T1^9*T2^12 - T1^10*T2^12 + 3*T1^12*T2^12))/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 575] -> 
  {((1 - T + T^2)*(6 - 15*T + 19*T^2 - 15*T^3 + 6*T^4))/T^3, 
   -((1347 - 4653*T1 + 8816*T1^2 - 10783*T1^3 + 8816*T1^4 - 4653*T1^5 + 
      1347*T1^6 - 4653*T2 + 12228*T1*T2 - 17113*T1^2*T2 + 11879*T1^3*T2 + 
      665*T1^4*T2 - 9427*T1^5*T2 + 8826*T1^6*T2 - 3897*T1^7*T2 + 8816*T2^2 - 
      17113*T1*T2^2 + 16927*T1^2*T2^2 - 1980*T1^3*T2^2 - 12781*T1^4*T2^2 + 
      11460*T1^5*T2^2 + 607*T1^6*T2^2 - 7033*T1^7*T2^2 + 5936*T1^8*T2^2 - 
      10783*T2^3 + 11879*T1*T2^3 - 1980*T1^2*T2^3 - 17342*T1^3*T2^3 + 
      19904*T1^4*T2^3 - 1054*T1^5*T2^3 - 14612*T1^6*T2^3 + 10620*T1^7*T2^3 - 
      1603*T1^8*T2^3 - 5491*T1^9*T2^3 + 8816*T2^4 + 665*T1*T2^4 - 
      12781*T1^2*T2^4 + 19904*T1^3*T2^4 + 365*T1^4*T2^4 - 26281*T1^5*T2^4 + 
      25349*T1^6*T2^4 - 3028*T1^7*T2^4 - 7963*T1^8*T2^4 + 8477*T1^9*T2^4 + 
      3056*T1^10*T2^4 - 4653*T2^5 - 9427*T1*T2^5 + 11460*T1^2*T2^5 - 
      1054*T1^3*T2^5 - 26281*T1^4*T2^5 + 32312*T1^5*T2^5 - 5418*T1^6*T2^5 - 
      20121*T1^7*T2^5 + 15956*T1^8*T2^5 - 4500*T1^9*T2^5 - 7537*T1^10*T2^5 - 
      873*T1^11*T2^5 + 1347*T2^6 + 8826*T1*T2^6 + 607*T1^2*T2^6 - 
      14612*T1^3*T2^6 + 25349*T1^4*T2^6 - 5418*T1^5*T2^6 - 25308*T1^6*T2^6 + 
      28742*T1^7*T2^6 - 5655*T1^8*T2^6 - 7388*T1^9*T2^6 + 9811*T1^10*T2^6 + 
      2778*T1^11*T2^6 + 51*T1^12*T2^6 - 3897*T1*T2^7 - 7033*T1^2*T2^7 + 
      10620*T1^3*T2^7 - 3028*T1^4*T2^7 - 20121*T1^5*T2^7 + 28742*T1^6*T2^7 - 
      8988*T1^7*T2^7 - 13961*T1^8*T2^7 + 13982*T1^9*T2^7 - 5340*T1^10*T2^7 - 
      5143*T1^11*T2^7 - 117*T1^12*T2^7 + 5936*T1^2*T2^8 - 1603*T1^3*T2^8 - 
      7963*T1^4*T2^8 + 15956*T1^5*T2^8 - 5655*T1^6*T2^8 - 13961*T1^7*T2^8 + 
      19329*T1^8*T2^8 - 6976*T1^9*T2^8 - 3145*T1^10*T2^8 + 6209*T1^11*T2^8 + 
      176*T1^12*T2^8 - 5491*T1^3*T2^9 + 8477*T1^4*T2^9 - 4500*T1^5*T2^9 - 
      7388*T1^6*T2^9 + 13982*T1^7*T2^9 - 6976*T1^8*T2^9 - 4658*T1^9*T2^9 + 
      8100*T1^10*T2^9 - 5005*T1^11*T2^9 - 199*T1^12*T2^9 + 3056*T1^4*T2^10 - 
      7537*T1^5*T2^10 + 9811*T1^6*T2^10 - 5340*T1^7*T2^10 - 3145*T1^8*T2^10 + 
      8100*T1^9*T2^10 - 6509*T1^10*T2^10 + 2543*T1^11*T2^10 + 
      176*T1^12*T2^10 - 873*T1^5*T2^11 + 2778*T1^6*T2^11 - 5143*T1^7*T2^11 + 
      6209*T1^8*T2^11 - 5005*T1^9*T2^11 + 2543*T1^10*T2^11 - 
      624*T1^11*T2^11 - 117*T1^12*T2^11 + 51*T1^6*T2^12 - 117*T1^7*T2^12 + 
      176*T1^8*T2^12 - 199*T1^9*T2^12 + 176*T1^10*T2^12 - 117*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 576] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^5, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-2 + 4*T1 - 6*T1^2 + 6*T1^3 - 6*T1^4 + 6*T1^5 - 6*T1^6 + 4*T1^7 - 
      2*T1^8 + 4*T2 - 7*T1*T2 + 10*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 
      9*T1^5*T2 + 9*T1^6*T2 - 5*T1^7*T2 + 2*T1^8*T2 + T1^9*T2 - 6*T2^2 + 
      10*T1*T2^2 - 12*T1^2*T2^2 + 10*T1^3*T2^2 - 8*T1^4*T2^2 + 6*T1^5*T2^2 - 
      8*T1^6*T2^2 + T1^7*T2^2 + 6*T1^8*T2^2 - 8*T1^9*T2^2 + 3*T1^10*T2^2 + 
      6*T2^3 - 9*T1*T2^3 + 10*T1^2*T2^3 - 7*T1^3*T2^3 + 5*T1^4*T2^3 - 
      7*T1^5*T2^3 + 11*T1^6*T2^3 - T1^7*T2^3 - 4*T1^8*T2^3 + T1^9*T2^3 + 
      6*T1^10*T2^3 - 6*T1^11*T2^3 - 6*T2^4 + 9*T1*T2^4 - 8*T1^2*T2^4 + 
      5*T1^3*T2^4 - 2*T1^4*T2^4 + 5*T1^5*T2^4 - 4*T1^6*T2^4 - 10*T1^7*T2^4 + 
      13*T1^8*T2^4 - 10*T1^9*T2^4 + 7*T1^10*T2^4 - 6*T1^11*T2^4 + 
      9*T1^12*T2^4 + 6*T2^5 - 9*T1*T2^5 + 6*T1^2*T2^5 - 7*T1^3*T2^5 + 
      5*T1^4*T2^5 - 14*T1^5*T2^5 + 13*T1^6*T2^5 - 5*T1^7*T2^5 + 7*T1^8*T2^5 - 
      10*T1^9*T2^5 + 11*T1^10*T2^5 - 15*T1^11*T2^5 + 6*T1^12*T2^5 - 
      12*T1^13*T2^5 - 6*T2^6 + 9*T1*T2^6 - 8*T1^2*T2^6 + 11*T1^3*T2^6 - 
      4*T1^4*T2^6 + 13*T1^5*T2^6 - 8*T1^6*T2^6 - T1^7*T2^6 + 7*T1^8*T2^6 - 
      14*T1^9*T2^6 + 14*T1^10*T2^6 - 7*T1^11*T2^6 + 19*T1^12*T2^6 - 
      6*T1^13*T2^6 + 15*T1^14*T2^6 + 4*T2^7 - 5*T1*T2^7 + T1^2*T2^7 - 
      T1^3*T2^7 - 10*T1^4*T2^7 - 5*T1^5*T2^7 - T1^6*T2^7 + 2*T1^7*T2^7 - 
      4*T1^8*T2^7 - T1^9*T2^7 + 10*T1^10*T2^7 - 16*T1^11*T2^7 - 
      4*T1^12*T2^7 - 11*T1^13*T2^7 - 4*T1^14*T2^7 - 13*T1^15*T2^7 - 2*T2^8 + 
      2*T1*T2^8 + 6*T1^2*T2^8 - 4*T1^3*T2^8 + 13*T1^4*T2^8 + 7*T1^5*T2^8 + 
      7*T1^6*T2^8 - 4*T1^7*T2^8 + 12*T1^8*T2^8 - 4*T1^9*T2^8 + 7*T1^10*T2^8 - 
      11*T1^11*T2^8 + 31*T1^12*T2^8 - 4*T1^13*T2^8 + 16*T1^14*T2^8 + 
      10*T1^15*T2^8 + 8*T1^16*T2^8 + T1*T2^9 - 8*T1^2*T2^9 + T1^3*T2^9 - 
      10*T1^4*T2^9 - 10*T1^5*T2^9 - 14*T1^6*T2^9 - T1^7*T2^9 - 4*T1^8*T2^9 - 
      10*T1^9*T2^9 - T1^10*T2^9 + T1^11*T2^9 - 16*T1^12*T2^9 - 
      13*T1^13*T2^9 - 11*T1^14*T2^9 - 7*T1^15*T2^9 - 16*T1^16*T2^9 + 
      3*T1^2*T2^10 + 6*T1^3*T2^10 + 7*T1^4*T2^10 + 11*T1^5*T2^10 + 
      14*T1^6*T2^10 + 10*T1^7*T2^10 + 7*T1^8*T2^10 - T1^9*T2^10 + 
      22*T1^10*T2^10 - 17*T1^11*T2^10 + 32*T1^12*T2^10 - 7*T1^13*T2^10 + 
      34*T1^14*T2^10 - 9*T1^15*T2^10 + 24*T1^16*T2^10 - 6*T1^3*T2^11 - 
      6*T1^4*T2^11 - 15*T1^5*T2^11 - 7*T1^6*T2^11 - 16*T1^7*T2^11 - 
      11*T1^8*T2^11 + T1^9*T2^11 - 17*T1^10*T2^11 + 10*T1^11*T2^11 - 
      31*T1^12*T2^11 + 11*T1^13*T2^11 - 36*T1^14*T2^11 + 9*T1^15*T2^11 - 
      24*T1^16*T2^11 + 9*T1^4*T2^12 + 6*T1^5*T2^12 + 19*T1^6*T2^12 - 
      4*T1^7*T2^12 + 31*T1^8*T2^12 - 16*T1^9*T2^12 + 32*T1^10*T2^12 - 
      31*T1^11*T2^12 + 46*T1^12*T2^12 - 19*T1^13*T2^12 + 34*T1^14*T2^12 - 
      9*T1^15*T2^12 + 24*T1^16*T2^12 - 12*T1^5*T2^13 - 6*T1^6*T2^13 - 
      11*T1^7*T2^13 - 4*T1^8*T2^13 - 13*T1^9*T2^13 - 7*T1^10*T2^13 + 
      11*T1^11*T2^13 - 19*T1^12*T2^13 - T1^13*T2^13 - 20*T1^14*T2^13 + 
      9*T1^15*T2^13 - 24*T1^16*T2^13 + 15*T1^6*T2^14 - 4*T1^7*T2^14 + 
      16*T1^8*T2^14 - 11*T1^9*T2^14 + 34*T1^10*T2^14 - 36*T1^11*T2^14 + 
      34*T1^12*T2^14 - 20*T1^13*T2^14 + 34*T1^14*T2^14 - 22*T1^15*T2^14 + 
      24*T1^16*T2^14 - 13*T1^7*T2^15 + 10*T1^8*T2^15 - 7*T1^9*T2^15 - 
      9*T1^10*T2^15 + 9*T1^11*T2^15 - 9*T1^12*T2^15 + 9*T1^13*T2^15 - 
      22*T1^14*T2^15 + 19*T1^15*T2^15 - 16*T1^16*T2^15 + 8*T1^8*T2^16 - 
      16*T1^9*T2^16 + 24*T1^10*T2^16 - 24*T1^11*T2^16 + 24*T1^12*T2^16 - 
      24*T1^13*T2^16 + 24*T1^14*T2^16 - 16*T1^15*T2^16 + 8*T1^16*T2^16))/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 577] -> 
  {((1 - T + T^2)^2*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-15 + 53*T1 - 114*T1^2 + 168*T1^3 - 191*T1^4 + 168*T1^5 - 114*T1^6 + 
     53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 313*T1^2*T2 - 400*T1^3*T2 + 
     389*T1^4*T2 - 269*T1^5*T2 + 118*T1^6*T2 + 5*T1^7*T2 - 36*T1^8*T2 + 
     25*T1^9*T2 - 114*T2^2 + 313*T1*T2^2 - 550*T1^2*T2^2 + 617*T1^3*T2^2 - 
     500*T1^4*T2^2 + 196*T1^5*T2^2 + 100*T1^6*T2^2 - 283*T1^7*T2^2 + 
     230*T1^8*T2^2 - 107*T1^9*T2^2 + 6*T1^10*T2^2 + 168*T2^3 - 400*T1*T2^3 + 
     617*T1^2*T2^3 - 581*T1^3*T2^3 + 368*T1^4*T2^3 - 43*T1^5*T2^3 - 
     94*T1^6*T2^3 + 29*T1^7*T2^3 + 277*T1^8*T2^3 - 418*T1^9*T2^3 + 
     314*T1^10*T2^3 - 96*T1^11*T2^3 - 191*T2^4 + 389*T1*T2^4 - 
     500*T1^2*T2^4 + 368*T1^3*T2^4 - 115*T1^4*T2^4 - 111*T1^5*T2^4 + 
     111*T1^6*T2^4 - 31*T1^7*T2^4 - 135*T1^8*T2^4 - 28*T1^9*T2^4 + 
     344*T1^10*T2^4 - 395*T1^11*T2^4 + 209*T1^12*T2^4 + 168*T2^5 - 
     269*T1*T2^5 + 196*T1^2*T2^5 - 43*T1^3*T2^5 - 111*T1^4*T2^5 - 
     61*T1^5*T2^5 + 352*T1^6*T2^5 - 573*T1^7*T2^5 + 629*T1^8*T2^5 - 
     271*T1^9*T2^5 - 108*T1^10*T2^5 - 89*T1^11*T2^5 + 221*T1^12*T2^5 - 
     272*T1^13*T2^5 - 114*T2^6 + 118*T1*T2^6 + 100*T1^2*T2^6 - 94*T1^3*T2^6 + 
     111*T1^4*T2^6 + 352*T1^5*T2^6 - 388*T1^6*T2^6 + 256*T1^7*T2^6 + 
     212*T1^8*T2^6 - 690*T1^9*T2^6 + 809*T1^10*T2^6 - 64*T1^11*T2^6 - 
     12*T1^12*T2^6 + 90*T1^13*T2^6 + 246*T1^14*T2^6 + 53*T2^7 + 5*T1*T2^7 - 
     283*T1^2*T2^7 + 29*T1^3*T2^7 - 31*T1^4*T2^7 - 573*T1^5*T2^7 + 
     256*T1^6*T2^7 - 243*T1^7*T2^7 - 131*T1^8*T2^7 + 56*T1^9*T2^7 + 
     118*T1^10*T2^7 - 831*T1^11*T2^7 + 140*T1^12*T2^7 - 58*T1^13*T2^7 - 
     359*T1^14*T2^7 - 143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 230*T1^2*T2^8 + 
     277*T1^3*T2^8 - 135*T1^4*T2^8 + 629*T1^5*T2^8 + 212*T1^6*T2^8 - 
     131*T1^7*T2^8 + 648*T1^8*T2^8 - 353*T1^9*T2^8 + 404*T1^10*T2^8 + 
     59*T1^11*T2^8 + 921*T1^12*T2^8 - 381*T1^13*T2^8 + 452*T1^14*T2^8 + 
     328*T1^15*T2^8 + 49*T1^16*T2^8 + 25*T1*T2^9 - 107*T1^2*T2^9 - 
     418*T1^3*T2^9 - 28*T1^4*T2^9 - 271*T1^5*T2^9 - 690*T1^6*T2^9 + 
     56*T1^7*T2^9 - 353*T1^8*T2^9 - 241*T1^9*T2^9 - 144*T1^10*T2^9 + 
     T1^11*T2^9 - 1071*T1^12*T2^9 + 83*T1^13*T2^9 - 193*T1^14*T2^9 - 
     471*T1^15*T2^9 - 171*T1^16*T2^9 + 6*T1^2*T2^10 + 314*T1^3*T2^10 + 
     344*T1^4*T2^10 - 108*T1^5*T2^10 + 809*T1^6*T2^10 + 118*T1^7*T2^10 + 
     404*T1^8*T2^10 - 144*T1^9*T2^10 + 1004*T1^10*T2^10 - 924*T1^11*T2^10 + 
     1507*T1^12*T2^10 - 78*T1^13*T2^10 + 232*T1^14*T2^10 + 286*T1^15*T2^10 + 
     366*T1^16*T2^10 - 96*T1^3*T2^11 - 395*T1^4*T2^11 - 89*T1^5*T2^11 - 
     64*T1^6*T2^11 - 831*T1^7*T2^11 + 59*T1^8*T2^11 + T1^9*T2^11 - 
     924*T1^10*T2^11 + 749*T1^11*T2^11 - 991*T1^12*T2^11 - 129*T1^13*T2^11 - 
     374*T1^14*T2^11 + 95*T1^15*T2^11 - 536*T1^16*T2^11 + 209*T1^4*T2^12 + 
     221*T1^5*T2^12 - 12*T1^6*T2^12 + 140*T1^7*T2^12 + 921*T1^8*T2^12 - 
     1071*T1^9*T2^12 + 1507*T1^10*T2^12 - 991*T1^11*T2^12 + 901*T1^12*T2^12 - 
     256*T1^13*T2^12 + 832*T1^14*T2^12 - 563*T1^15*T2^12 + 609*T1^16*T2^12 - 
     272*T1^5*T2^13 + 90*T1^6*T2^13 - 58*T1^7*T2^13 - 381*T1^8*T2^13 + 
     83*T1^9*T2^13 - 78*T1^10*T2^13 - 129*T1^11*T2^13 - 256*T1^12*T2^13 + 
     477*T1^13*T2^13 - 1093*T1^14*T2^13 + 804*T1^15*T2^13 - 536*T1^16*T2^13 + 
     246*T1^6*T2^14 - 359*T1^7*T2^14 + 452*T1^8*T2^14 - 193*T1^9*T2^14 + 
     232*T1^10*T2^14 - 374*T1^11*T2^14 + 832*T1^12*T2^14 - 1093*T1^13*T2^14 + 
     1232*T1^14*T2^14 - 779*T1^15*T2^14 + 366*T1^16*T2^14 - 143*T1^7*T2^15 + 
     328*T1^8*T2^15 - 471*T1^9*T2^15 + 286*T1^10*T2^15 + 95*T1^11*T2^15 - 
     563*T1^12*T2^15 + 804*T1^13*T2^15 - 779*T1^14*T2^15 + 454*T1^15*T2^15 - 
     171*T1^16*T2^15 + 49*T1^8*T2^16 - 171*T1^9*T2^16 + 366*T1^10*T2^16 - 
     536*T1^11*T2^16 + 609*T1^12*T2^16 - 536*T1^13*T2^16 + 366*T1^14*T2^16 - 
     171*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 578] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   (-15 + 61*T1 - 146*T1^2 + 232*T1^3 - 271*T1^4 + 232*T1^5 - 146*T1^6 + 
     61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 471*T1^2*T2 - 650*T1^3*T2 + 
     637*T1^4*T2 - 403*T1^5*T2 + 134*T1^6*T2 + 39*T1^7*T2 - 58*T1^8*T2 + 
     29*T1^9*T2 - 146*T2^2 + 471*T1*T2^2 - 926*T1^2*T2^2 + 1099*T1^3*T2^2 - 
     824*T1^4*T2^2 + 148*T1^5*T2^2 + 392*T1^6*T2^2 - 573*T1^7*T2^2 + 
     366*T1^8*T2^2 - 137*T1^9*T2^2 + 6*T1^10*T2^2 + 232*T2^3 - 650*T1*T2^3 + 
     1099*T1^2*T2^3 - 986*T1^3*T2^3 + 327*T1^4*T2^3 + 493*T1^5*T2^3 - 
     567*T1^6*T2^3 + 35*T1^7*T2^3 + 670*T1^8*T2^3 - 801*T1^9*T2^3 + 
     486*T1^10*T2^3 - 128*T1^11*T2^3 - 271*T2^4 + 637*T1*T2^4 - 
     824*T1^2*T2^4 + 327*T1^3*T2^4 + 533*T1^4*T2^4 - 949*T1^5*T2^4 + 
     261*T1^6*T2^4 + 571*T1^7*T2^4 - 787*T1^8*T2^4 + 87*T1^9*T2^4 + 
     656*T1^10*T2^4 - 643*T1^11*T2^4 + 289*T1^12*T2^4 + 232*T2^5 - 
     403*T1*T2^5 + 148*T1^2*T2^5 + 493*T1^3*T2^5 - 949*T1^4*T2^5 + 
     6*T1^5*T2^5 + 1647*T1^6*T2^5 - 2343*T1^7*T2^5 + 1416*T1^8*T2^5 + 
     41*T1^9*T2^5 - 767*T1^10*T2^5 + 28*T1^11*T2^5 + 317*T1^12*T2^5 - 
     368*T1^13*T2^5 - 146*T2^6 + 134*T1*T2^6 + 392*T1^2*T2^6 - 
     567*T1^3*T2^6 + 261*T1^4*T2^6 + 1647*T1^5*T2^6 - 2248*T1^6*T2^6 + 
     944*T1^7*T2^6 + 1788*T1^8*T2^6 - 2773*T1^9*T2^6 + 2051*T1^10*T2^6 + 
     193*T1^11*T2^6 - 296*T1^12*T2^6 + 230*T1^13*T2^6 + 310*T1^14*T2^6 + 
     61*T2^7 + 39*T1*T2^7 - 573*T1^2*T2^7 + 35*T1^3*T2^7 + 571*T1^4*T2^7 - 
     2343*T1^5*T2^7 + 944*T1^6*T2^7 + 1010*T1^7*T2^7 - 2850*T1^8*T2^7 + 
     1056*T1^9*T2^7 + 787*T1^10*T2^7 - 2539*T1^11*T2^7 + 535*T1^12*T2^7 - 
     41*T1^13*T2^7 - 585*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 58*T1*T2^8 + 
     366*T1^2*T2^8 + 670*T1^3*T2^8 - 787*T1^4*T2^8 + 1416*T1^5*T2^8 + 
     1788*T1^6*T2^8 - 2850*T1^7*T2^8 + 2988*T1^8*T2^8 + 454*T1^9*T2^8 - 
     1072*T1^10*T2^8 + 1176*T1^11*T2^8 + 1849*T1^12*T2^8 - 946*T1^13*T2^8 + 
     790*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 29*T1*T2^9 - 
     137*T1^2*T2^9 - 801*T1^3*T2^9 + 87*T1^4*T2^9 + 41*T1^5*T2^9 - 
     2773*T1^6*T2^9 + 1056*T1^7*T2^9 + 454*T1^8*T2^9 - 3406*T1^9*T2^9 + 
     1168*T1^10*T2^9 + 357*T1^11*T2^9 - 3069*T1^12*T2^9 + 587*T1^13*T2^9 - 
     269*T1^14*T2^9 - 761*T1^15*T2^9 - 195*T1^16*T2^9 + 6*T1^2*T2^10 + 
     486*T1^3*T2^10 + 656*T1^4*T2^10 - 767*T1^5*T2^10 + 2051*T1^6*T2^10 + 
     787*T1^7*T2^10 - 1072*T1^8*T2^10 + 1168*T1^9*T2^10 + 2964*T1^10*T2^10 - 
     3633*T1^11*T2^10 + 3841*T1^12*T2^10 - 7*T1^13*T2^10 - 32*T1^14*T2^10 + 
     582*T1^15*T2^10 + 462*T1^16*T2^10 - 128*T1^3*T2^11 - 643*T1^4*T2^11 + 
     28*T1^5*T2^11 + 193*T1^6*T2^11 - 2539*T1^7*T2^11 + 1176*T1^8*T2^11 + 
     357*T1^9*T2^11 - 3633*T1^10*T2^11 + 2586*T1^11*T2^11 - 
     1549*T1^12*T2^11 - 1067*T1^13*T2^11 - 92*T1^14*T2^11 + 77*T1^15*T2^11 - 
     728*T1^16*T2^11 + 289*T1^4*T2^12 + 317*T1^5*T2^12 - 296*T1^6*T2^12 + 
     535*T1^7*T2^12 + 1849*T1^8*T2^12 - 3069*T1^9*T2^12 + 3841*T1^10*T2^12 - 
     1549*T1^11*T2^12 + 529*T1^12*T2^12 + 295*T1^13*T2^12 + 
     1184*T1^14*T2^12 - 963*T1^15*T2^12 + 849*T1^16*T2^12 - 368*T1^5*T2^13 + 
     230*T1^6*T2^13 - 41*T1^7*T2^13 - 946*T1^8*T2^13 + 587*T1^9*T2^13 - 
     7*T1^10*T2^13 - 1067*T1^11*T2^13 + 295*T1^12*T2^13 + 710*T1^13*T2^13 - 
     1941*T1^14*T2^13 + 1366*T1^15*T2^13 - 728*T1^16*T2^13 + 310*T1^6*T2^14 - 
     585*T1^7*T2^14 + 790*T1^8*T2^14 - 269*T1^9*T2^14 - 32*T1^10*T2^14 - 
     92*T1^11*T2^14 + 1184*T1^12*T2^14 - 1941*T1^13*T2^14 + 
     2082*T1^14*T2^14 - 1193*T1^15*T2^14 + 462*T1^16*T2^14 - 163*T1^7*T2^15 + 
     454*T1^8*T2^15 - 761*T1^9*T2^15 + 582*T1^10*T2^15 + 77*T1^11*T2^15 - 
     963*T1^12*T2^15 + 1366*T1^13*T2^15 - 1193*T1^14*T2^15 + 
     614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 195*T1^9*T2^16 + 
     462*T1^10*T2^16 - 728*T1^11*T2^16 + 849*T1^12*T2^16 - 728*T1^13*T2^16 + 
     462*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 579] -> 
  {((1 - T + T^2)*(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6))/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 148*T1^3 - 180*T1^4 + 148*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 595*T1^3*T2 + 
     483*T1^4*T2 - 91*T1^5*T2 - 189*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 783*T1^2*T2^2 + 343*T1^3*T2^2 + 
     719*T1^4*T2^2 - 1877*T1^5*T2^2 + 1727*T1^6*T2^2 - 917*T1^7*T2^2 + 
     57*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 148*T2^3 - 595*T1*T2^3 + 
     343*T1^2*T2^3 + 1658*T1^3*T2^3 - 3588*T1^4*T2^3 + 4178*T1^5*T2^3 - 
     1438*T1^6*T2^3 - 834*T1^7*T2^3 + 1760*T1^8*T2^3 - 812*T1^9*T2^3 + 
     35*T1^10*T2^3 + 37*T1^11*T2^3 - 180*T2^4 + 483*T1*T2^4 + 719*T1^2*T2^4 - 
     3588*T1^3*T2^4 + 3908*T1^4*T2^4 - 1474*T1^5*T2^4 - 4456*T1^6*T2^4 + 
     5558*T1^7*T2^4 - 3712*T1^8*T2^4 + 112*T1^9*T2^4 + 873*T1^10*T2^4 - 
     259*T1^11*T2^4 + 148*T2^5 - 91*T1*T2^5 - 1877*T1^2*T2^5 + 
     4178*T1^3*T2^5 - 1474*T1^4*T2^5 - 3225*T1^5*T2^5 + 8955*T1^6*T2^5 - 
     5129*T1^7*T2^5 - 269*T1^8*T2^5 + 4355*T1^9*T2^5 - 2606*T1^10*T2^5 + 
     76*T1^11*T2^5 + 259*T1^12*T2^5 - 37*T1^13*T2^5 - 84*T2^6 - 189*T1*T2^6 + 
     1727*T1^2*T2^6 - 1438*T1^3*T2^6 - 4456*T1^4*T2^6 + 8955*T1^5*T2^6 - 
     10230*T1^6*T2^6 + 104*T1^7*T2^6 + 6570*T1^8*T2^6 - 6823*T1^9*T2^6 + 
     682*T1^10*T2^6 + 2426*T1^11*T2^6 - 989*T1^12*T2^6 - 35*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 917*T1^2*T2^7 - 834*T1^3*T2^7 + 
     5558*T1^4*T2^7 - 5129*T1^5*T2^7 + 104*T1^6*T2^7 + 10676*T1^7*T2^7 - 
     10844*T1^8*T2^7 + 2363*T1^9*T2^7 + 5567*T1^10*T2^7 - 5083*T1^11*T2^7 + 
     196*T1^12*T2^7 + 868*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 57*T1^2*T2^8 + 1760*T1^3*T2^8 - 3712*T1^4*T2^8 - 
     269*T1^5*T2^8 + 6570*T1^6*T2^8 - 10844*T1^7*T2^8 + 3468*T1^8*T2^8 + 
     7772*T1^9*T2^8 - 8664*T1^10*T2^8 + 2157*T1^11*T2^8 + 3648*T1^12*T2^8 - 
     1972*T1^13*T2^8 - 69*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 812*T1^3*T2^9 + 112*T1^4*T2^9 + 
     4355*T1^5*T2^9 - 6823*T1^6*T2^9 + 2363*T1^7*T2^9 + 7772*T1^8*T2^9 - 
     13748*T1^9*T2^9 + 4622*T1^10*T2^9 + 3873*T1^11*T2^9 - 6286*T1^12*T2^9 + 
     1142*T1^13*T2^9 + 973*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 35*T1^3*T2^10 + 873*T1^4*T2^10 - 2606*T1^5*T2^10 + 
     682*T1^6*T2^10 + 5567*T1^7*T2^10 - 8664*T1^8*T2^10 + 4622*T1^9*T2^10 + 
     8136*T1^10*T2^10 - 10211*T1^11*T2^10 + 5820*T1^12*T2^10 + 
     1258*T1^13*T2^10 - 1843*T1^14*T2^10 + 189*T1^15*T2^10 + 84*T1^16*T2^10 + 
     37*T1^3*T2^11 - 259*T1^4*T2^11 + 76*T1^5*T2^11 + 2426*T1^6*T2^11 - 
     5083*T1^7*T2^11 + 2157*T1^8*T2^11 + 3873*T1^9*T2^11 - 
     10211*T1^10*T2^11 + 5113*T1^11*T2^11 + 746*T1^12*T2^11 - 
     4358*T1^13*T2^11 + 2029*T1^14*T2^11 + 91*T1^15*T2^11 - 148*T1^16*T2^11 + 
     259*T1^5*T2^12 - 989*T1^6*T2^12 + 196*T1^7*T2^12 + 3648*T1^8*T2^12 - 
     6286*T1^9*T2^12 + 5820*T1^10*T2^12 + 746*T1^11*T2^12 - 
     3972*T1^12*T2^12 + 3896*T1^13*T2^12 - 835*T1^14*T2^12 - 
     483*T1^15*T2^12 + 180*T1^16*T2^12 - 37*T1^5*T2^13 - 35*T1^6*T2^13 + 
     868*T1^7*T2^13 - 1972*T1^8*T2^13 + 1142*T1^9*T2^13 + 1258*T1^10*T2^13 - 
     4358*T1^11*T2^13 + 3896*T1^12*T2^13 - 1870*T1^13*T2^13 - 
     287*T1^14*T2^13 + 595*T1^15*T2^13 - 148*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 69*T1^8*T2^14 + 973*T1^9*T2^14 - 1843*T1^10*T2^14 + 
     2029*T1^11*T2^14 - 835*T1^12*T2^14 - 287*T1^13*T2^14 + 771*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 189*T1^10*T2^15 + 91*T1^11*T2^15 - 483*T1^12*T2^15 + 
     595*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 148*T1^11*T2^16 + 
     180*T1^12*T2^16 - 148*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 580] -> 
  {((1 - T + T^2)*(2 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + 2*T^6))/T^4, 
   (-15 + 45*T1 - 75*T1^2 + 83*T1^3 - 83*T1^4 + 83*T1^5 - 75*T1^6 + 45*T1^7 - 
     15*T1^8 + 45*T2 - 114*T1*T2 + 162*T1^2*T2 - 144*T1^3*T2 + 132*T1^4*T2 - 
     132*T1^5*T2 + 108*T1^6*T2 - 30*T1^7*T2 - 18*T1^8*T2 + 21*T1^9*T2 - 
     75*T2^2 + 162*T1*T2^2 - 181*T1^2*T2^2 + 97*T1^3*T2^2 - 67*T1^4*T2^2 + 
     71*T1^5*T2^2 - 27*T1^6*T2^2 - 103*T1^7*T2^2 + 139*T1^8*T2^2 - 
     78*T1^9*T2^2 + 5*T1^10*T2^2 + 83*T2^3 - 144*T1*T2^3 + 97*T1^2*T2^3 + 
     20*T1^3*T2^3 - 6*T1^4*T2^3 - 56*T1^5*T2^3 + 10*T1^6*T2^3 + 
     132*T1^7*T2^3 - 82*T1^8*T2^3 - 83*T1^9*T2^3 + 132*T1^10*T2^3 - 
     49*T1^11*T2^3 - 83*T2^4 + 132*T1*T2^4 - 67*T1^2*T2^4 - 6*T1^3*T2^4 - 
     61*T1^4*T2^4 + 135*T1^5*T2^4 - 7*T1^6*T2^4 - 173*T1^7*T2^4 + 
     71*T1^8*T2^4 + 82*T1^9*T2^4 + 21*T1^10*T2^4 - 132*T1^11*T2^4 + 
     93*T1^12*T2^4 + 83*T2^5 - 132*T1*T2^5 + 71*T1^2*T2^5 - 56*T1^3*T2^5 + 
     135*T1^4*T2^5 - 208*T1^5*T2^5 + 54*T1^6*T2^5 + 32*T1^7*T2^5 + 
     166*T1^8*T2^5 - 261*T1^9*T2^5 + 54*T1^10*T2^5 - 61*T1^11*T2^5 + 
     132*T1^12*T2^5 - 137*T1^13*T2^5 - 75*T2^6 + 108*T1*T2^6 - 27*T1^2*T2^6 + 
     10*T1^3*T2^6 - 7*T1^4*T2^6 + 54*T1^5*T2^6 + 102*T1^6*T2^6 - 
     108*T1^7*T2^6 - 38*T1^8*T2^6 + 10*T1^9*T2^6 + 169*T1^10*T2^6 + 
     10*T1^11*T2^6 + 29*T1^12*T2^6 - 84*T1^13*T2^6 + 165*T1^14*T2^6 + 
     45*T2^7 - 30*T1*T2^7 - 103*T1^2*T2^7 + 132*T1^3*T2^7 - 173*T1^4*T2^7 + 
     32*T1^5*T2^7 - 108*T1^6*T2^7 - 15*T1^7*T2^7 + 125*T1^8*T2^7 - 
     117*T1^9*T2^7 + 10*T1^10*T2^7 - 129*T1^11*T2^7 - 206*T1^12*T2^7 + 
     197*T1^13*T2^7 - 126*T1^14*T2^7 - 123*T1^15*T2^7 - 15*T2^8 - 
     18*T1*T2^8 + 139*T1^2*T2^8 - 82*T1^3*T2^8 + 71*T1^4*T2^8 + 
     166*T1^5*T2^8 - 38*T1^6*T2^8 + 125*T1^7*T2^8 - 97*T1^9*T2^8 + 
     296*T1^10*T2^8 - 274*T1^11*T2^8 + 595*T1^12*T2^8 - 190*T1^13*T2^8 - 
     37*T1^14*T2^8 + 222*T1^15*T2^8 + 49*T1^16*T2^8 + 21*T1*T2^9 - 
     78*T1^2*T2^9 - 83*T1^3*T2^9 + 82*T1^4*T2^9 - 261*T1^5*T2^9 + 
     10*T1^6*T2^9 - 117*T1^7*T2^9 - 97*T1^8*T2^9 + 43*T1^9*T2^9 - 
     126*T1^10*T2^9 - 12*T1^11*T2^9 - 217*T1^12*T2^9 - 256*T1^13*T2^9 + 
     217*T1^14*T2^9 - 174*T1^15*T2^9 - 147*T1^16*T2^9 + 5*T1^2*T2^10 + 
     132*T1^3*T2^10 + 21*T1^4*T2^10 + 54*T1^5*T2^10 + 169*T1^6*T2^10 + 
     10*T1^7*T2^10 + 296*T1^8*T2^10 - 126*T1^9*T2^10 + 156*T1^10*T2^10 - 
     34*T1^11*T2^10 + 345*T1^12*T2^10 + 54*T1^13*T2^10 + 77*T1^14*T2^10 - 
     60*T1^15*T2^10 + 245*T1^16*T2^10 - 49*T1^3*T2^11 - 132*T1^4*T2^11 - 
     61*T1^5*T2^11 + 10*T1^6*T2^11 - 129*T1^7*T2^11 - 274*T1^8*T2^11 - 
     12*T1^9*T2^11 - 34*T1^10*T2^11 + 100*T1^11*T2^11 - 525*T1^12*T2^11 + 
     120*T1^13*T2^11 - 193*T1^14*T2^11 + 132*T1^15*T2^11 - 269*T1^16*T2^11 + 
     93*T1^4*T2^12 + 132*T1^5*T2^12 + 29*T1^6*T2^12 - 206*T1^7*T2^12 + 
     595*T1^8*T2^12 - 217*T1^9*T2^12 + 345*T1^10*T2^12 - 525*T1^11*T2^12 + 
     727*T1^12*T2^12 - 118*T1^13*T2^12 + 117*T1^14*T2^12 - 132*T1^15*T2^12 + 
     269*T1^16*T2^12 - 137*T1^5*T2^13 - 84*T1^6*T2^13 + 197*T1^7*T2^13 - 
     190*T1^8*T2^13 - 256*T1^9*T2^13 + 54*T1^10*T2^13 + 120*T1^11*T2^13 - 
     118*T1^12*T2^13 - 292*T1^13*T2^13 + 17*T1^14*T2^13 + 192*T1^15*T2^13 - 
     269*T1^16*T2^13 + 165*T1^6*T2^14 - 126*T1^7*T2^14 - 37*T1^8*T2^14 + 
     217*T1^9*T2^14 + 77*T1^10*T2^14 - 193*T1^11*T2^14 + 117*T1^12*T2^14 + 
     17*T1^13*T2^14 + 283*T1^14*T2^14 - 366*T1^15*T2^14 + 245*T1^16*T2^14 - 
     123*T1^7*T2^15 + 222*T1^8*T2^15 - 174*T1^9*T2^15 - 60*T1^10*T2^15 + 
     132*T1^11*T2^15 - 132*T1^12*T2^15 + 192*T1^13*T2^15 - 366*T1^14*T2^15 + 
     318*T1^15*T2^15 - 147*T1^16*T2^15 + 49*T1^8*T2^16 - 147*T1^9*T2^16 + 
     245*T1^10*T2^16 - 269*T1^11*T2^16 + 269*T1^12*T2^16 - 269*T1^13*T2^16 + 
     245*T1^14*T2^16 - 147*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 581] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   (-112 + 396*T1 - 740*T1^2 + 888*T1^3 - 740*T1^4 + 396*T1^5 - 112*T1^6 + 
     396*T2 - 1226*T1*T2 + 1996*T1^2*T2 - 1976*T1^3*T2 + 1216*T1^4*T2 - 
     244*T1^5*T2 - 218*T1^6*T2 + 172*T1^7*T2 - 740*T2^2 + 1996*T1*T2^2 - 
     2593*T1^2*T2^2 + 1517*T1^3*T2^2 + 453*T1^4*T2^2 - 2019*T1^5*T2^2 + 
     1983*T1^6*T2^2 - 916*T1^7*T2^2 + 92*T1^8*T2^2 + 888*T2^3 - 
     1976*T1*T2^3 + 1517*T1^2*T2^3 + 742*T1^3*T2^3 - 2846*T1^4*T2^3 + 
     3022*T1^5*T2^3 - 798*T1^6*T2^3 - 1603*T1^7*T2^3 + 1776*T1^8*T2^3 - 
     600*T1^9*T2^3 - 740*T2^4 + 1216*T1*T2^4 + 453*T1^2*T2^4 - 
     2846*T1^3*T2^4 + 3591*T1^4*T2^4 - 1407*T1^5*T2^4 - 2013*T1^6*T2^4 + 
     3354*T1^7*T2^4 - 883*T1^8*T2^4 - 1136*T1^9*T2^4 + 924*T1^10*T2^4 + 
     396*T2^5 - 244*T1*T2^5 - 2019*T1^2*T2^5 + 3022*T1^3*T2^5 - 
     1407*T1^4*T2^5 - 2650*T1^5*T2^5 + 4652*T1^6*T2^5 - 2707*T1^7*T2^5 - 
     2182*T1^8*T2^5 + 2765*T1^9*T2^5 - 692*T1^10*T2^5 - 724*T1^11*T2^5 - 
     112*T2^6 - 218*T1*T2^6 + 1983*T1^2*T2^6 - 798*T1^3*T2^6 - 
     2013*T1^4*T2^6 + 4652*T1^5*T2^6 - 2124*T1^6*T2^6 - 2428*T1^7*T2^6 + 
     5923*T1^8*T2^6 - 2318*T1^9*T2^6 - 1089*T1^10*T2^6 + 1574*T1^11*T2^6 + 
     272*T1^12*T2^6 + 172*T1*T2^7 - 916*T1^2*T2^7 - 1603*T1^3*T2^7 + 
     3354*T1^4*T2^7 - 2707*T1^5*T2^7 - 2428*T1^6*T2^7 + 4874*T1^7*T2^7 - 
     4007*T1^8*T2^7 - 1850*T1^9*T2^7 + 3181*T1^10*T2^7 - 1364*T1^11*T2^7 - 
     948*T1^12*T2^7 + 92*T1^2*T2^8 + 1776*T1^3*T2^8 - 883*T1^4*T2^8 - 
     2182*T1^5*T2^8 + 5923*T1^6*T2^8 - 4007*T1^7*T2^8 + 319*T1^8*T2^8 + 
     4018*T1^9*T2^8 - 2219*T1^10*T2^8 - 576*T1^11*T2^8 + 1756*T1^12*T2^8 - 
     600*T1^3*T2^9 - 1136*T1^4*T2^9 + 2765*T1^5*T2^9 - 2318*T1^6*T2^9 - 
     1850*T1^7*T2^9 + 4018*T1^8*T2^9 - 3858*T1^9*T2^9 - 355*T1^10*T2^9 + 
     2616*T1^11*T2^9 - 2088*T1^12*T2^9 + 924*T1^4*T2^10 - 692*T1^5*T2^10 - 
     1089*T1^6*T2^10 + 3181*T1^7*T2^10 - 2219*T1^8*T2^10 - 355*T1^9*T2^10 + 
     3487*T1^10*T2^10 - 3604*T1^11*T2^10 + 1756*T1^12*T2^10 - 
     724*T1^5*T2^11 + 1574*T1^6*T2^11 - 1364*T1^7*T2^11 - 576*T1^8*T2^11 + 
     2616*T1^9*T2^11 - 3604*T1^10*T2^11 + 2582*T1^11*T2^11 - 
     948*T1^12*T2^11 + 272*T1^6*T2^12 - 948*T1^7*T2^12 + 1756*T1^8*T2^12 - 
     2088*T1^9*T2^12 + 1756*T1^10*T2^12 - 948*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 582] -> 
  {(4 - 15*T + 29*T^2 - 35*T^3 + 29*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (-112 + 424*T1 - 824*T1^2 + 1000*T1^3 - 824*T1^4 + 424*T1^5 - 112*T1^6 + 
     424*T2 - 1416*T1*T2 + 2404*T1^2*T2 - 2400*T1^3*T2 + 1440*T1^4*T2 - 
     236*T1^5*T2 - 276*T1^6*T2 + 184*T1^7*T2 - 824*T2^2 + 2404*T1*T2^2 - 
     3266*T1^2*T2^2 + 1842*T1^3*T2^2 + 828*T1^4*T2^2 - 2798*T1^5*T2^2 + 
     2534*T1^6*T2^2 - 1076*T1^7*T2^2 + 104*T1^8*T2^2 + 1000*T2^3 - 
     2400*T1*T2^3 + 1842*T1^2*T2^3 + 1541*T1^3*T2^3 - 4713*T1^4*T2^3 + 
     4647*T1^5*T2^3 - 1219*T1^6*T2^3 - 2073*T1^7*T2^3 + 2160*T1^8*T2^3 - 
     680*T1^9*T2^3 - 824*T2^4 + 1440*T1*T2^4 + 828*T1^2*T2^4 - 
     4713*T1^3*T2^4 + 5777*T1^4*T2^4 - 1673*T1^5*T2^4 - 3623*T1^6*T2^4 + 
     5297*T1^7*T2^4 - 1466*T1^8*T2^4 - 1320*T1^9*T2^4 + 1032*T1^10*T2^4 + 
     424*T2^5 - 236*T1*T2^5 - 2798*T1^2*T2^5 + 4647*T1^3*T2^5 - 
     1673*T1^4*T2^5 - 5398*T1^5*T2^5 + 7842*T1^6*T2^5 - 4138*T1^7*T2^5 - 
     3413*T1^8*T2^5 + 4017*T1^9*T2^5 - 956*T1^10*T2^5 - 776*T1^11*T2^5 - 
     112*T2^6 - 276*T1*T2^6 + 2534*T1^2*T2^6 - 1219*T1^3*T2^6 - 
     3623*T1^4*T2^6 + 7842*T1^5*T2^6 - 2712*T1^6*T2^6 - 4738*T1^7*T2^6 + 
     9711*T1^8*T2^6 - 3709*T1^9*T2^6 - 1454*T1^10*T2^6 + 1884*T1^11*T2^6 + 
     272*T1^12*T2^6 + 184*T1*T2^7 - 1076*T1^2*T2^7 - 2073*T1^3*T2^7 + 
     5297*T1^4*T2^7 - 4138*T1^5*T2^7 - 4738*T1^6*T2^7 + 8502*T1^7*T2^7 - 
     6603*T1^8*T2^7 - 2763*T1^9*T2^7 + 4742*T1^10*T2^7 - 1796*T1^11*T2^7 - 
     1016*T1^12*T2^7 + 104*T1^2*T2^8 + 2160*T1^3*T2^8 - 1466*T1^4*T2^8 - 
     3413*T1^5*T2^8 + 9711*T1^6*T2^8 - 6603*T1^7*T2^8 + 311*T1^8*T2^8 + 
     6597*T1^9*T2^8 - 3760*T1^10*T2^8 - 600*T1^11*T2^8 + 1960*T1^12*T2^8 - 
     680*T1^3*T2^9 - 1320*T1^4*T2^9 + 4017*T1^5*T2^9 - 3709*T1^6*T2^9 - 
     2763*T1^7*T2^9 + 6597*T1^8*T2^9 - 6469*T1^9*T2^9 + 102*T1^10*T2^9 + 
     3240*T1^11*T2^9 - 2360*T1^12*T2^9 + 1032*T1^4*T2^10 - 956*T1^5*T2^10 - 
     1454*T1^6*T2^10 + 4742*T1^7*T2^10 - 3760*T1^8*T2^10 + 102*T1^9*T2^10 + 
     4346*T1^10*T2^10 - 4436*T1^11*T2^10 + 1960*T1^12*T2^10 - 
     776*T1^5*T2^11 + 1884*T1^6*T2^11 - 1796*T1^7*T2^11 - 600*T1^8*T2^11 + 
     3240*T1^9*T2^11 - 4436*T1^10*T2^11 + 3024*T1^11*T2^11 - 
     1016*T1^12*T2^11 + 272*T1^6*T2^12 - 1016*T1^7*T2^12 + 1960*T1^8*T2^12 - 
     2360*T1^9*T2^12 + 1960*T1^10*T2^12 - 1016*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 583] -> 
  {(1 - 7*T + 19*T^2 - 33*T^3 + 41*T^4 - 33*T^5 + 19*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 76*T1^2 + 132*T1^3 - 164*T1^4 + 132*T1^5 - 76*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 385*T1^2*T2 - 525*T1^3*T2 + 
     455*T1^4*T2 - 63*T1^5*T2 - 161*T1^6*T2 + 203*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 76*T2^2 + 385*T1*T2^2 - 447*T1^2*T2^2 - 41*T1^3*T2^2 + 
     1057*T1^4*T2^2 - 2323*T1^5*T2^2 + 1893*T1^6*T2^2 - 1029*T1^7*T2^2 + 
     237*T1^8*T2^2 + 119*T1^9*T2^2 - 38*T1^10*T2^2 + 132*T2^3 - 525*T1*T2^3 - 
     41*T1^2*T2^3 + 1454*T1^3*T2^3 - 3018*T1^4*T2^3 + 3910*T1^5*T2^3 - 
     784*T1^6*T2^3 - 854*T1^7*T2^3 + 1362*T1^8*T2^3 - 858*T1^9*T2^3 + 
     35*T1^10*T2^3 + 33*T1^11*T2^3 - 164*T2^4 + 455*T1*T2^4 + 
     1057*T1^2*T2^4 - 3018*T1^3*T2^4 + 4145*T1^4*T2^4 - 3543*T1^5*T2^4 - 
     2443*T1^6*T2^4 + 2357*T1^7*T2^4 - 1307*T1^8*T2^4 - 114*T1^9*T2^4 + 
     939*T1^10*T2^4 - 231*T1^11*T2^4 + 132*T2^5 - 63*T1*T2^5 - 
     2323*T1^2*T2^5 + 3910*T1^3*T2^5 - 3543*T1^4*T2^5 + 1159*T1^5*T2^5 + 
     5371*T1^6*T2^5 - 545*T1^7*T2^5 - 1955*T1^8*T2^5 + 2664*T1^9*T2^5 - 
     1988*T1^10*T2^5 - 58*T1^11*T2^5 + 231*T1^12*T2^5 - 33*T1^13*T2^5 - 
     76*T2^6 - 161*T1*T2^6 + 1893*T1^2*T2^6 - 784*T1^3*T2^6 - 
     2443*T1^4*T2^6 + 5371*T1^5*T2^6 - 7910*T1^6*T2^6 - 2698*T1^7*T2^6 + 
     4394*T1^8*T2^6 - 1939*T1^9*T2^6 - 217*T1^10*T2^6 + 2104*T1^11*T2^6 - 
     851*T1^12*T2^6 - 35*T1^13*T2^6 + 38*T1^14*T2^6 + 28*T2^7 + 203*T1*T2^7 - 
     1029*T1^2*T2^7 - 854*T1^3*T2^7 + 2357*T1^4*T2^7 - 545*T1^5*T2^7 - 
     2698*T1^6*T2^7 + 12214*T1^7*T2^7 - 6994*T1^8*T2^7 - 951*T1^9*T2^7 + 
     2583*T1^10*T2^7 - 2622*T1^11*T2^7 - 58*T1^12*T2^7 + 814*T1^13*T2^7 - 
     119*T1^14*T2^7 - 21*T1^15*T2^7 - 4*T2^8 - 119*T1*T2^8 + 237*T1^2*T2^8 + 
     1362*T1^3*T2^8 - 1307*T1^4*T2^8 - 1955*T1^5*T2^8 + 4394*T1^6*T2^8 - 
     6994*T1^7*T2^8 - 1944*T1^8*T2^8 + 8614*T1^9*T2^8 - 4024*T1^10*T2^8 + 
     1387*T1^11*T2^8 + 1509*T1^12*T2^8 - 1246*T1^13*T2^8 - 225*T1^14*T2^8 + 
     119*T1^15*T2^8 + 4*T1^16*T2^8 + 21*T1*T2^9 + 119*T1^2*T2^9 - 
     858*T1^3*T2^9 - 114*T1^4*T2^9 + 2664*T1^5*T2^9 - 1939*T1^6*T2^9 - 
     951*T1^7*T2^9 + 8614*T1^8*T2^9 - 10594*T1^9*T2^9 + 796*T1^10*T2^9 + 
     1189*T1^11*T2^9 - 2315*T1^12*T2^9 + 682*T1^13*T2^9 + 985*T1^14*T2^9 - 
     203*T1^15*T2^9 - 28*T1^16*T2^9 - 38*T1^2*T2^10 + 35*T1^3*T2^10 + 
     939*T1^4*T2^10 - 1988*T1^5*T2^10 - 217*T1^6*T2^10 + 2583*T1^7*T2^10 - 
     4024*T1^8*T2^10 + 796*T1^9*T2^10 + 8280*T1^10*T2^10 - 4727*T1^11*T2^10 + 
     2009*T1^12*T2^10 + 900*T1^13*T2^10 - 1805*T1^14*T2^10 + 
     161*T1^15*T2^10 + 76*T1^16*T2^10 + 33*T1^3*T2^11 - 231*T1^4*T2^11 - 
     58*T1^5*T2^11 + 2104*T1^6*T2^11 - 2622*T1^7*T2^11 + 1387*T1^8*T2^11 + 
     1189*T1^9*T2^11 - 4727*T1^10*T2^11 - 1727*T1^11*T2^11 + 
     3585*T1^12*T2^11 - 3794*T1^13*T2^11 + 2207*T1^14*T2^11 + 
     63*T1^15*T2^11 - 132*T1^16*T2^11 + 231*T1^5*T2^12 - 851*T1^6*T2^12 - 
     58*T1^7*T2^12 + 1509*T1^8*T2^12 - 2315*T1^9*T2^12 + 2009*T1^10*T2^12 + 
     3585*T1^11*T2^12 - 3943*T1^12*T2^12 + 2846*T1^13*T2^12 - 
     969*T1^14*T2^12 - 455*T1^15*T2^12 + 164*T1^16*T2^12 - 33*T1^5*T2^13 - 
     35*T1^6*T2^13 + 814*T1^7*T2^13 - 1246*T1^8*T2^13 + 682*T1^9*T2^13 + 
     900*T1^10*T2^13 - 3794*T1^11*T2^13 + 2846*T1^12*T2^13 - 
     1338*T1^13*T2^13 - 3*T1^14*T2^13 + 525*T1^15*T2^13 - 132*T1^16*T2^13 + 
     38*T1^6*T2^14 - 119*T1^7*T2^14 - 225*T1^8*T2^14 + 985*T1^9*T2^14 - 
     1805*T1^10*T2^14 + 2207*T1^11*T2^14 - 969*T1^12*T2^14 - 3*T1^13*T2^14 + 
     459*T1^14*T2^14 - 385*T1^15*T2^14 + 76*T1^16*T2^14 - 21*T1^7*T2^15 + 
     119*T1^8*T2^15 - 203*T1^9*T2^15 + 161*T1^10*T2^15 + 63*T1^11*T2^15 - 
     455*T1^12*T2^15 + 525*T1^13*T2^15 - 385*T1^14*T2^15 + 175*T1^15*T2^15 - 
     28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 76*T1^10*T2^16 - 
     132*T1^11*T2^16 + 164*T1^12*T2^16 - 132*T1^13*T2^16 + 76*T1^14*T2^16 - 
     28*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 584] -> 
  {-((1 - 7*T + 19*T^2 - 29*T^3 + 31*T^4 - 29*T^5 + 19*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 95*T1^2 + 145*T1^3 - 155*T1^4 + 145*T1^5 - 
      95*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 469*T1^2*T2 - 
      483*T1^3*T2 + 273*T1^4*T2 - 147*T1^5*T2 - 147*T1^6*T2 + 287*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 95*T2^2 + 469*T1*T2^2 - 484*T1^2*T2^2 - 
      596*T1^3*T2^2 + 1706*T1^4*T2^2 - 1726*T1^5*T2^2 + 2162*T1^6*T2^2 - 
      1432*T1^7*T2^2 + 200*T1^8*T2^2 + 203*T1^9*T2^2 - 57*T1^10*T2^2 + 
      145*T2^3 - 483*T1*T2^3 - 596*T1^2*T2^3 + 3262*T1^3*T2^3 - 
      3886*T1^4*T2^3 + 1874*T1^5*T2^3 - 1930*T1^6*T2^3 - 808*T1^7*T2^3 + 
      2414*T1^8*T2^3 - 1185*T1^9*T2^3 - 7*T1^10*T2^3 + 58*T1^11*T2^3 - 
      155*T2^4 + 273*T1*T2^4 + 1706*T1^2*T2^4 - 3886*T1^3*T2^4 + 
      976*T1^4*T2^4 + 3612*T1^5*T2^4 - 2406*T1^6*T2^4 + 5756*T1^7*T2^4 - 
      4236*T1^8*T2^4 - 174*T1^9*T2^4 + 1220*T1^10*T2^4 - 189*T1^11*T2^4 - 
      31*T1^12*T2^4 + 145*T2^5 - 147*T1*T2^5 - 1726*T1^2*T2^5 + 
      1874*T1^3*T2^5 + 3612*T1^4*T2^5 - 6737*T1^5*T2^5 + 1641*T1^6*T2^5 - 
      3941*T1^7*T2^5 - 677*T1^8*T2^5 + 4321*T1^9*T2^5 - 1882*T1^10*T2^5 - 
      475*T1^11*T2^5 + 217*T1^12*T2^5 - 95*T2^6 - 147*T1*T2^6 + 
      2162*T1^2*T2^6 - 1930*T1^3*T2^6 - 2406*T1^4*T2^6 + 1641*T1^5*T2^6 + 
      5401*T1^6*T2^6 - 1297*T1^7*T2^6 + 3725*T1^8*T2^6 - 3221*T1^9*T2^6 - 
      1216*T1^10*T2^6 + 1946*T1^11*T2^6 - 178*T1^12*T2^6 - 133*T1^13*T2^6 + 
      19*T1^14*T2^6 + 35*T2^7 + 287*T1*T2^7 - 1432*T1^2*T2^7 - 
      808*T1^3*T2^7 + 5756*T1^4*T2^7 - 3941*T1^5*T2^7 - 1297*T1^6*T2^7 - 
      5186*T1^7*T2^7 + 3320*T1^8*T2^7 - 1940*T1^9*T2^7 + 3081*T1^10*T2^7 - 
      693*T1^11*T2^7 - 1350*T1^12*T2^7 + 639*T1^13*T2^7 - 35*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 + 200*T1^2*T2^8 + 2414*T1^3*T2^8 - 
      4236*T1^4*T2^8 - 677*T1^5*T2^8 + 3725*T1^6*T2^8 + 3320*T1^7*T2^8 - 
      108*T1^8*T2^8 - 3028*T1^9*T2^8 + 1667*T1^10*T2^8 - 3395*T1^11*T2^8 + 
      3148*T1^12*T2^8 - 658*T1^13*T2^8 - 262*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 203*T1^2*T2^9 - 1185*T1^3*T2^9 - 
      174*T1^4*T2^9 + 4321*T1^5*T2^9 - 3221*T1^6*T2^9 - 1940*T1^7*T2^9 - 
      3028*T1^8*T2^9 + 5478*T1^9*T2^9 - 2583*T1^10*T2^9 + 3801*T1^11*T2^9 - 
      2128*T1^12*T2^9 - 716*T1^13*T2^9 + 886*T1^14*T2^9 - 119*T1^15*T2^9 - 
      21*T1^16*T2^9 - 57*T1^2*T2^10 - 7*T1^3*T2^10 + 1220*T1^4*T2^10 - 
      1882*T1^5*T2^10 - 1216*T1^6*T2^10 + 3081*T1^7*T2^10 + 1667*T1^8*T2^10 - 
      2583*T1^9*T2^10 - 9*T1^10*T2^10 - 1781*T1^11*T2^10 - 26*T1^12*T2^10 + 
      1994*T1^13*T2^10 - 1120*T1^14*T2^10 + 7*T1^15*T2^10 + 57*T1^16*T2^10 + 
      58*T1^3*T2^11 - 189*T1^4*T2^11 - 475*T1^5*T2^11 + 1946*T1^6*T2^11 - 
      693*T1^7*T2^11 - 3395*T1^8*T2^11 + 3801*T1^9*T2^11 - 1781*T1^10*T2^11 + 
      2665*T1^11*T2^11 + 16*T1^12*T2^11 - 1810*T1^13*T2^11 + 
      776*T1^14*T2^11 + 175*T1^15*T2^11 - 87*T1^16*T2^11 - 31*T1^4*T2^12 + 
      217*T1^5*T2^12 - 178*T1^6*T2^12 - 1350*T1^7*T2^12 + 3148*T1^8*T2^12 - 
      2128*T1^9*T2^12 - 26*T1^10*T2^12 + 16*T1^11*T2^12 - 2064*T1^12*T2^12 + 
      2362*T1^13*T2^12 - 664*T1^14*T2^12 - 245*T1^15*T2^12 + 93*T1^16*T2^12 - 
      133*T1^6*T2^13 + 639*T1^7*T2^13 - 658*T1^8*T2^13 - 716*T1^9*T2^13 + 
      1994*T1^10*T2^13 - 1810*T1^11*T2^13 + 2362*T1^12*T2^13 - 
      1506*T1^13*T2^13 + 50*T1^14*T2^13 + 343*T1^15*T2^13 - 87*T1^16*T2^13 + 
      19*T1^6*T2^14 - 35*T1^7*T2^14 - 262*T1^8*T2^14 + 886*T1^9*T2^14 - 
      1120*T1^10*T2^14 + 776*T1^11*T2^14 - 664*T1^12*T2^14 + 50*T1^13*T2^14 + 
      422*T1^14*T2^14 - 301*T1^15*T2^14 + 57*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 119*T1^9*T2^15 + 7*T1^10*T2^15 + 175*T1^11*T2^15 - 
      245*T1^12*T2^15 + 343*T1^13*T2^15 - 301*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 57*T1^10*T2^16 - 
      87*T1^11*T2^16 + 93*T1^12*T2^16 - 87*T1^13*T2^16 + 57*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 585] -> 
  {-((2 - 15*T + 43*T^2 - 61*T^3 + 43*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-25 + 187*T1 - 535*T1^2 + 759*T1^3 - 535*T1^4 + 187*T1^5 - 25*T1^6 + 
      187*T2 - 1272*T1*T2 + 3054*T1^2*T2 - 2966*T1^3*T2 + 154*T1^4*T2 + 
      1314*T1^5*T2 - 762*T1^6*T2 + 127*T1^7*T2 - 535*T2^2 + 3054*T1*T2^2 - 
      4511*T1^2*T2^2 - 2791*T1^3*T2^2 + 13555*T1^4*T2^2 - 10703*T1^5*T2^2 + 
      2541*T1^6*T2^2 + 474*T1^7*T2^2 - 191*T1^8*T2^2 + 759*T2^3 - 
      2966*T1*T2^3 - 2791*T1^2*T2^3 + 24983*T1^3*T2^3 - 36445*T1^4*T2^3 + 
      9407*T1^5*T2^3 + 10631*T1^6*T2^3 - 7564*T1^7*T2^3 + 1234*T1^8*T2^3 + 
      27*T1^9*T2^3 - 535*T2^4 + 154*T1*T2^4 + 13555*T1^2*T2^4 - 
      36445*T1^3*T2^4 + 19263*T1^4*T2^4 + 42527*T1^5*T2^4 - 50813*T1^6*T2^4 + 
      17601*T1^7*T2^4 + 897*T1^8*T2^4 - 1346*T1^9*T2^4 + 153*T1^10*T2^4 + 
      187*T2^5 + 1314*T1*T2^5 - 10703*T1^2*T2^5 + 9407*T1^3*T2^5 + 
      42527*T1^4*T2^5 - 101618*T1^5*T2^5 + 61494*T1^6*T2^5 + 5848*T1^7*T2^5 - 
      20057*T1^8*T2^5 + 6626*T1^9*T2^5 - 306*T1^10*T2^5 - 113*T1^11*T2^5 - 
      25*T2^6 - 762*T1*T2^6 + 2541*T1^2*T2^6 + 10631*T1^3*T2^6 - 
      50813*T1^4*T2^6 + 61494*T1^5*T2^6 + 14052*T1^6*T2^6 - 72074*T1^7*T2^6 + 
      46937*T1^8*T2^6 - 7603*T1^9*T2^6 - 2531*T1^10*T2^6 + 678*T1^11*T2^6 + 
      23*T1^12*T2^6 + 127*T1*T2^7 + 474*T1^2*T2^7 - 7564*T1^3*T2^7 + 
      17601*T1^4*T2^7 + 5848*T1^5*T2^7 - 72074*T1^6*T2^7 + 91038*T1^7*T2^7 - 
      30831*T1^8*T2^7 - 11863*T1^9*T2^7 + 9765*T1^10*T2^7 - 1146*T1^11*T2^7 - 
      173*T1^12*T2^7 - 191*T1^2*T2^8 + 1234*T1^3*T2^8 + 897*T1^4*T2^8 - 
      20057*T1^5*T2^8 + 46937*T1^6*T2^8 - 30831*T1^7*T2^8 - 23139*T1^8*T2^8 + 
      33989*T1^9*T2^8 - 11761*T1^10*T2^8 - 266*T1^11*T2^8 + 497*T1^12*T2^8 + 
      27*T1^3*T2^9 - 1346*T1^4*T2^9 + 6626*T1^5*T2^9 - 7603*T1^6*T2^9 - 
      11863*T1^7*T2^9 + 33989*T1^8*T2^9 - 21955*T1^9*T2^9 + 1853*T1^10*T2^9 + 
      2854*T1^11*T2^9 - 705*T1^12*T2^9 + 153*T1^4*T2^10 - 306*T1^5*T2^10 - 
      2531*T1^6*T2^10 + 9765*T1^7*T2^10 - 11761*T1^8*T2^10 + 
      1853*T1^9*T2^10 + 4521*T1^10*T2^10 - 2886*T1^11*T2^10 + 
      497*T1^12*T2^10 - 113*T1^5*T2^11 + 678*T1^6*T2^11 - 1146*T1^7*T2^11 - 
      266*T1^8*T2^11 + 2854*T1^9*T2^11 - 2886*T1^10*T2^11 + 
      1188*T1^11*T2^11 - 173*T1^12*T2^11 + 23*T1^6*T2^12 - 173*T1^7*T2^12 + 
      497*T1^8*T2^12 - 705*T1^9*T2^12 + 497*T1^10*T2^12 - 173*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 586] -> 
  {(7 - 24*T + 44*T^2 - 53*T^3 + 44*T^4 - 24*T^5 + 7*T^6)/T^3, 
   -((2149 - 7286*T1 + 13296*T1^2 - 15993*T1^3 + 13296*T1^4 - 7286*T1^5 + 
      2149*T1^6 - 7286*T2 + 18654*T1*T2 - 24509*T1^2*T2 + 16587*T1^3*T2 + 
      291*T1^4*T2 - 13085*T1^5*T2 + 13446*T1^6*T2 - 6110*T1^7*T2 + 
      13296*T2^2 - 24509*T1*T2^2 + 20690*T1^2*T2^2 + 222*T1^3*T2^2 - 
      18584*T1^4*T2^2 + 18086*T1^5*T2^2 - 2102*T1^6*T2^2 - 9725*T1^7*T2^2 + 
      8984*T1^8*T2^2 - 15993*T2^3 + 16587*T1*T2^3 + 222*T1^2*T2^3 - 
      22979*T1^3*T2^3 + 23971*T1^4*T2^3 - 2777*T1^5*T2^3 - 17951*T1^6*T2^3 + 
      16458*T1^7*T2^3 - 2733*T1^8*T2^3 - 8202*T1^9*T2^3 + 13296*T2^4 + 
      291*T1*T2^4 - 18584*T1^2*T2^4 + 23971*T1^3*T2^4 - 70*T1^4*T2^4 - 
      26356*T1^5*T2^4 + 28122*T1^6*T2^4 - 4861*T1^7*T2^4 - 11736*T1^8*T2^4 + 
      12051*T1^9*T2^4 + 4672*T1^10*T2^4 - 7286*T2^5 - 13085*T1*T2^5 + 
      18086*T1^2*T2^5 - 2777*T1^3*T2^5 - 26356*T1^4*T2^5 + 30768*T1^5*T2^5 - 
      6052*T1^6*T2^5 - 20900*T1^7*T2^5 + 19803*T1^8*T2^5 - 4662*T1^9*T2^5 - 
      11069*T1^10*T2^5 - 1406*T1^11*T2^5 + 2149*T2^6 + 13446*T1*T2^6 - 
      2102*T1^2*T2^6 - 17951*T1^3*T2^6 + 28122*T1^4*T2^6 - 6052*T1^5*T2^6 - 
      22860*T1^6*T2^6 + 28044*T1^7*T2^6 - 5966*T1^8*T2^6 - 10817*T1^9*T2^6 + 
      13154*T1^10*T2^6 + 4374*T1^11*T2^6 + 91*T1^12*T2^6 - 6110*T1*T2^7 - 
      9725*T1^2*T2^7 + 16458*T1^3*T2^7 - 4861*T1^4*T2^7 - 20900*T1^5*T2^7 + 
      28044*T1^6*T2^7 - 8776*T1^7*T2^7 - 15444*T1^8*T2^7 + 17719*T1^9*T2^7 - 
      6290*T1^10*T2^7 - 7709*T1^11*T2^7 - 230*T1^12*T2^7 + 8984*T1^2*T2^8 - 
      2733*T1^3*T2^8 - 11736*T1^4*T2^8 + 19803*T1^5*T2^8 - 5966*T1^6*T2^8 - 
      15444*T1^7*T2^8 + 22226*T1^8*T2^8 - 9029*T1^9*T2^8 - 4888*T1^10*T2^8 + 
      9027*T1^11*T2^8 + 360*T1^12*T2^8 - 8202*T1^3*T2^9 + 12051*T1^4*T2^9 - 
      4662*T1^5*T2^9 - 10817*T1^6*T2^9 + 17719*T1^7*T2^9 - 9029*T1^8*T2^9 - 
      5789*T1^9*T2^9 + 11574*T1^10*T2^9 - 7269*T1^11*T2^9 - 411*T1^12*T2^9 + 
      4672*T1^4*T2^10 - 11069*T1^5*T2^10 + 13154*T1^6*T2^10 - 
      6290*T1^7*T2^10 - 4888*T1^8*T2^10 + 11574*T1^9*T2^10 - 
      9638*T1^10*T2^10 + 3715*T1^11*T2^10 + 360*T1^12*T2^10 - 
      1406*T1^5*T2^11 + 4374*T1^6*T2^11 - 7709*T1^7*T2^11 + 9027*T1^8*T2^11 - 
      7269*T1^9*T2^11 + 3715*T1^10*T2^11 - 834*T1^11*T2^11 - 
      230*T1^12*T2^11 + 91*T1^6*T2^12 - 230*T1^7*T2^12 + 360*T1^8*T2^12 - 
      411*T1^9*T2^12 + 360*T1^10*T2^12 - 230*T1^11*T2^12 + 91*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 587] -> 
  {-((2 - 10*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-57 + 283*T1 - 618*T1^2 + 952*T1^3 - 1091*T1^4 + 952*T1^5 - 
      618*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1871*T1^2*T2 - 
      2107*T1^3*T2 + 1374*T1^4*T2 - 86*T1^5*T2 - 987*T1^6*T2 + 1231*T1^7*T2 - 
      924*T1^8*T2 + 243*T1^9*T2 - 618*T2^2 + 1871*T1*T2^2 - 1191*T1^2*T2^2 - 
      546*T1^3*T2^2 + 3547*T1^4*T2^2 - 5441*T1^5*T2^2 + 5043*T1^6*T2^2 - 
      2658*T1^7*T2^2 + 569*T1^8*T2^2 + 991*T1^9*T2^2 - 442*T1^10*T2^2 + 
      952*T2^3 - 2107*T1*T2^3 - 546*T1^2*T2^3 + 2508*T1^3*T2^3 - 
      4938*T1^4*T2^3 + 3937*T1^5*T2^3 - 699*T1^6*T2^3 - 2614*T1^7*T2^3 + 
      2812*T1^8*T2^3 - 2394*T1^9*T2^3 - 507*T1^10*T2^3 + 544*T1^11*T2^3 - 
      1091*T2^4 + 1374*T1*T2^4 + 3547*T1^2*T2^4 - 4938*T1^3*T2^4 + 
      7479*T1^4*T2^4 - 5279*T1^5*T2^4 + 2699*T1^6*T2^4 - 1207*T1^7*T2^4 + 
      2703*T1^8*T2^4 - 1946*T1^9*T2^4 + 3611*T1^10*T2^4 - 386*T1^11*T2^4 - 
      467*T1^12*T2^4 + 952*T2^5 - 86*T1*T2^5 - 5441*T1^2*T2^5 + 
      3937*T1^3*T2^5 - 5279*T1^4*T2^5 + 1280*T1^5*T2^5 + 24*T1^6*T2^5 + 
      60*T1^7*T2^5 - 1922*T1^8*T2^5 - 355*T1^9*T2^5 - 1267*T1^10*T2^5 - 
      2717*T1^11*T2^5 + 974*T1^12*T2^5 + 272*T1^13*T2^5 - 618*T2^6 - 
      987*T1*T2^6 + 5043*T1^2*T2^6 - 699*T1^3*T2^6 + 2699*T1^4*T2^6 + 
      24*T1^5*T2^6 + 2283*T1^6*T2^6 - 3685*T1^7*T2^6 + 4095*T1^8*T2^6 + 
      184*T1^9*T2^6 + 1075*T1^10*T2^6 + 3085*T1^11*T2^6 + 683*T1^12*T2^6 - 
      907*T1^13*T2^6 - 90*T1^14*T2^6 + 283*T2^7 + 1231*T1*T2^7 - 
      2658*T1^2*T2^7 - 2614*T1^3*T2^7 - 1207*T1^4*T2^7 + 60*T1^5*T2^7 - 
      3685*T1^6*T2^7 + 3396*T1^7*T2^7 - 1258*T1^8*T2^7 - 2865*T1^9*T2^7 + 
      272*T1^10*T2^7 - 2723*T1^11*T2^7 - 2266*T1^12*T2^7 + 774*T1^13*T2^7 + 
      431*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 924*T1*T2^8 + 569*T1^2*T2^8 + 
      2812*T1^3*T2^8 + 2703*T1^4*T2^8 - 1922*T1^5*T2^8 + 4095*T1^6*T2^8 - 
      1258*T1^7*T2^8 - 1704*T1^8*T2^8 + 3262*T1^9*T2^8 + 543*T1^10*T2^8 + 
      806*T1^11*T2^8 + 3023*T1^12*T2^8 + 188*T1^13*T2^8 - 855*T1^14*T2^8 - 
      44*T1^15*T2^8 + 7*T1^16*T2^8 + 243*T1*T2^9 + 991*T1^2*T2^9 - 
      2394*T1^3*T2^9 - 1946*T1^4*T2^9 - 355*T1^5*T2^9 + 184*T1^6*T2^9 - 
      2865*T1^7*T2^9 + 3262*T1^8*T2^9 - 1392*T1^9*T2^9 - 2045*T1^10*T2^9 + 
      396*T1^11*T2^9 - 1871*T1^12*T2^9 - 1598*T1^13*T2^9 + 1038*T1^14*T2^9 + 
      191*T1^15*T2^9 - 37*T1^16*T2^9 - 442*T1^2*T2^10 - 507*T1^3*T2^10 + 
      3611*T1^4*T2^10 - 1267*T1^5*T2^10 + 1075*T1^6*T2^10 + 272*T1^7*T2^10 + 
      543*T1^8*T2^10 - 2045*T1^9*T2^10 + 2355*T1^10*T2^10 + 432*T1^11*T2^10 - 
      549*T1^12*T2^10 + 2517*T1^13*T2^10 - 749*T1^14*T2^10 - 
      427*T1^15*T2^10 + 86*T1^16*T2^10 + 544*T1^3*T2^11 - 386*T1^4*T2^11 - 
      2717*T1^5*T2^11 + 3085*T1^6*T2^11 - 2723*T1^7*T2^11 + 806*T1^8*T2^11 + 
      396*T1^9*T2^11 + 432*T1^10*T2^11 - 2396*T1^11*T2^11 + 
      2201*T1^12*T2^11 - 2119*T1^13*T2^11 + 7*T1^14*T2^11 + 674*T1^15*T2^11 - 
      136*T1^16*T2^11 - 467*T1^4*T2^12 + 974*T1^5*T2^12 + 683*T1^6*T2^12 - 
      2266*T1^7*T2^12 + 3023*T1^8*T2^12 - 1871*T1^9*T2^12 - 549*T1^10*T2^12 + 
      2201*T1^11*T2^12 - 1753*T1^12*T2^12 + 726*T1^13*T2^12 + 
      747*T1^14*T2^12 - 786*T1^15*T2^12 + 157*T1^16*T2^12 + 272*T1^5*T2^13 - 
      907*T1^6*T2^13 + 774*T1^7*T2^13 + 188*T1^8*T2^13 - 1598*T1^9*T2^13 + 
      2517*T1^10*T2^13 - 2119*T1^11*T2^13 + 726*T1^12*T2^13 + 
      492*T1^13*T2^13 - 1074*T1^14*T2^13 + 693*T1^15*T2^13 - 
      136*T1^16*T2^13 - 90*T1^6*T2^14 + 431*T1^7*T2^14 - 855*T1^8*T2^14 + 
      1038*T1^9*T2^14 - 749*T1^10*T2^14 + 7*T1^11*T2^14 + 747*T1^12*T2^14 - 
      1074*T1^13*T2^14 + 905*T1^14*T2^14 - 449*T1^15*T2^14 + 86*T1^16*T2^14 + 
      3*T1^7*T2^15 - 44*T1^8*T2^15 + 191*T1^9*T2^15 - 427*T1^10*T2^15 + 
      674*T1^11*T2^15 - 786*T1^12*T2^15 + 693*T1^13*T2^15 - 449*T1^14*T2^15 + 
      196*T1^15*T2^15 - 37*T1^16*T2^15 + 7*T1^8*T2^16 - 37*T1^9*T2^16 + 
      86*T1^10*T2^16 - 136*T1^11*T2^16 + 157*T1^12*T2^16 - 136*T1^13*T2^16 + 
      86*T1^14*T2^16 - 37*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 588] -> 
  {-(((1 - T + T^2)*(2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6))/
     T^4), -((-41 + 224*T1 - 608*T1^2 + 1071*T1^3 - 1271*T1^4 + 1071*T1^5 - 
      608*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1046*T1*T2 + 2348*T1^2*T2 - 
      3202*T1^3*T2 + 2266*T1^4*T2 - 286*T1^5*T2 - 1376*T1^6*T2 + 
      1446*T1^7*T2 - 760*T1^8*T2 + 180*T1^9*T2 - 608*T2^2 + 2348*T1*T2^2 - 
      4041*T1^2*T2^2 + 3348*T1^3*T2^2 + 1380*T1^4*T2^2 - 5059*T1^5*T2^2 + 
      5340*T1^6*T2^2 - 1692*T1^7*T2^2 - 681*T1^8*T2^2 + 1028*T1^9*T2^2 - 
      368*T1^10*T2^2 + 1071*T2^3 - 3202*T1*T2^3 + 3348*T1^2*T2^3 + 
      1032*T1^3*T2^3 - 9176*T1^4*T2^3 + 8918*T1^5*T2^3 - 2968*T1^6*T2^3 - 
      5318*T1^7*T2^3 + 4992*T1^8*T2^3 - 1902*T1^9*T2^3 - 364*T1^10*T2^3 + 
      435*T1^11*T2^3 - 1271*T2^4 + 2266*T1*T2^4 + 1380*T1^2*T2^4 - 
      9176*T1^3*T2^4 + 15620*T1^4*T2^4 - 4390*T1^5*T2^4 - 6846*T1^6*T2^4 + 
      12920*T1^7*T2^4 - 2608*T1^8*T2^4 - 3240*T1^9*T2^4 + 3674*T1^10*T2^4 - 
      946*T1^11*T2^4 - 263*T1^12*T2^4 + 1071*T2^5 - 286*T1*T2^5 - 
      5059*T1^2*T2^5 + 8918*T1^3*T2^5 - 4390*T1^4*T2^5 - 17947*T1^5*T2^5 + 
      21479*T1^6*T2^5 - 12134*T1^7*T2^5 - 10673*T1^8*T2^5 + 11375*T1^9*T2^5 - 
      4692*T1^10*T2^5 - 1270*T1^11*T2^5 + 1386*T1^12*T2^5 + 11*T1^13*T2^5 - 
      608*T2^6 - 1376*T1*T2^6 + 5340*T1^2*T2^6 - 2968*T1^3*T2^6 - 
      6846*T1^4*T2^6 + 21479*T1^5*T2^6 - 1781*T1^6*T2^6 - 20027*T1^7*T2^6 + 
      35095*T1^8*T2^6 - 14109*T1^9*T2^6 - 1922*T1^10*T2^6 + 6332*T1^11*T2^6 - 
      1952*T1^12*T2^6 - 672*T1^13*T2^6 + 112*T1^14*T2^6 + 224*T2^7 + 
      1446*T1*T2^7 - 1692*T1^2*T2^7 - 5318*T1^3*T2^7 + 12920*T1^4*T2^7 - 
      12134*T1^5*T2^7 - 20027*T1^6*T2^7 + 32729*T1^7*T2^7 - 24333*T1^8*T2^7 - 
      9740*T1^9*T2^7 + 17529*T1^10*T2^7 - 9025*T1^11*T2^7 - 864*T1^12*T2^7 + 
      2298*T1^13*T2^7 - 160*T1^14*T2^7 - 84*T1^15*T2^7 - 41*T2^8 - 
      760*T1*T2^8 - 681*T1^2*T2^8 + 4992*T1^3*T2^8 - 2608*T1^4*T2^8 - 
      10673*T1^5*T2^8 + 35095*T1^6*T2^8 - 24333*T1^7*T2^8 - 3588*T1^8*T2^8 + 
      29837*T1^9*T2^8 - 18779*T1^10*T2^8 - 127*T1^11*T2^8 + 7132*T1^12*T2^8 - 
      3288*T1^13*T2^8 - 507*T1^14*T2^8 + 340*T1^15*T2^8 + 23*T1^16*T2^8 + 
      180*T1*T2^9 + 1028*T1^2*T2^9 - 1902*T1^3*T2^9 - 3240*T1^4*T2^9 + 
      11375*T1^5*T2^9 - 14109*T1^6*T2^9 - 9740*T1^7*T2^9 + 29837*T1^8*T2^9 - 
      27225*T1^9*T2^9 + 547*T1^10*T2^9 + 15554*T1^11*T2^9 - 
      10570*T1^12*T2^9 + 1214*T1^13*T2^9 + 2088*T1^14*T2^9 - 578*T1^15*T2^9 - 
      128*T1^16*T2^9 - 368*T1^2*T2^10 - 364*T1^3*T2^10 + 3674*T1^4*T2^10 - 
      4692*T1^5*T2^10 - 1922*T1^6*T2^10 + 17529*T1^7*T2^10 - 
      18779*T1^8*T2^10 + 547*T1^9*T2^10 + 18097*T1^10*T2^10 - 
      18059*T1^11*T2^10 + 3002*T1^12*T2^10 + 4608*T1^13*T2^10 - 
      3618*T1^14*T2^10 + 340*T1^15*T2^10 + 352*T1^16*T2^10 + 435*T1^3*T2^11 - 
      946*T1^4*T2^11 - 1270*T1^5*T2^11 + 6332*T1^6*T2^11 - 9025*T1^7*T2^11 - 
      127*T1^8*T2^11 + 15554*T1^9*T2^11 - 18059*T1^10*T2^11 + 
      7147*T1^11*T2^11 + 6740*T1^12*T2^11 - 7278*T1^13*T2^11 + 
      2519*T1^14*T2^11 + 726*T1^15*T2^11 - 625*T1^16*T2^11 - 263*T1^4*T2^12 + 
      1386*T1^5*T2^12 - 1952*T1^6*T2^12 - 864*T1^7*T2^12 + 7132*T1^8*T2^12 - 
      10570*T1^9*T2^12 + 3002*T1^10*T2^12 + 6740*T1^11*T2^12 - 
      11096*T1^12*T2^12 + 5072*T1^13*T2^12 + 342*T1^14*T2^12 - 
      1826*T1^15*T2^12 + 745*T1^16*T2^12 + 11*T1^5*T2^13 - 672*T1^6*T2^13 + 
      2298*T1^7*T2^13 - 3288*T1^8*T2^13 + 1214*T1^9*T2^13 + 
      4608*T1^10*T2^13 - 7278*T1^11*T2^13 + 5072*T1^12*T2^13 + 
      672*T1^13*T2^13 - 2952*T1^14*T2^13 + 2166*T1^15*T2^13 - 
      625*T1^16*T2^13 + 112*T1^6*T2^14 - 160*T1^7*T2^14 - 507*T1^8*T2^14 + 
      2088*T1^9*T2^14 - 3618*T1^10*T2^14 + 2519*T1^11*T2^14 + 
      342*T1^12*T2^14 - 2952*T1^13*T2^14 + 2853*T1^14*T2^14 - 
      1480*T1^15*T2^14 + 352*T1^16*T2^14 - 84*T1^7*T2^15 + 340*T1^8*T2^15 - 
      578*T1^9*T2^15 + 340*T1^10*T2^15 + 726*T1^11*T2^15 - 1826*T1^12*T2^15 + 
      2166*T1^13*T2^15 - 1480*T1^14*T2^15 + 626*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 352*T1^10*T2^16 - 
      625*T1^11*T2^16 + 745*T1^12*T2^16 - 625*T1^13*T2^16 + 352*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 589] -> 
  {(2 - 9*T + 23*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 178*T1^2 + 288*T1^3 - 335*T1^4 + 288*T1^5 - 
     178*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 284*T1*T2 + 663*T1^2*T2 - 
     919*T1^3*T2 + 882*T1^4*T2 - 558*T1^5*T2 + 161*T1^6*T2 + 87*T1^7*T2 - 
     86*T1^8*T2 + 33*T1^9*T2 - 178*T2^2 + 663*T1*T2^2 - 1393*T1^2*T2^2 + 
     1580*T1^3*T2^2 - 1043*T1^4*T2^2 + 31*T1^5*T2^2 + 797*T1^6*T2^2 - 
     996*T1^7*T2^2 + 539*T1^8*T2^2 - 165*T1^9*T2^2 + 6*T1^10*T2^2 + 
     288*T2^3 - 919*T1*T2^3 + 1580*T1^2*T2^3 - 999*T1^3*T2^3 - 
     403*T1^4*T2^3 + 1612*T1^5*T2^3 - 1628*T1^6*T2^3 + 473*T1^7*T2^3 + 
     1035*T1^8*T2^3 - 1249*T1^9*T2^3 + 665*T1^10*T2^3 - 156*T1^11*T2^3 - 
     335*T2^4 + 882*T1*T2^4 - 1043*T1^2*T2^4 - 403*T1^3*T2^4 + 
     1942*T1^4*T2^4 - 1870*T1^5*T2^4 + 198*T1^6*T2^4 + 1818*T1^7*T2^4 - 
     2602*T1^8*T2^4 + 855*T1^9*T2^4 + 875*T1^10*T2^4 - 882*T1^11*T2^4 + 
     353*T1^12*T2^4 + 288*T2^5 - 558*T1*T2^5 + 31*T1^2*T2^5 + 
     1612*T1^3*T2^5 - 1870*T1^4*T2^5 - 1124*T1^5*T2^5 + 4398*T1^6*T2^5 - 
     5862*T1^7*T2^5 + 3994*T1^8*T2^5 + 267*T1^9*T2^5 - 2040*T1^10*T2^5 + 
     268*T1^11*T2^5 + 450*T1^12*T2^5 - 452*T1^13*T2^5 - 178*T2^6 + 
     161*T1*T2^6 + 797*T1^2*T2^6 - 1628*T1^3*T2^6 + 198*T1^4*T2^6 + 
     4398*T1^5*T2^6 - 5191*T1^6*T2^6 + 2603*T1^7*T2^6 + 2869*T1^8*T2^6 - 
     6586*T1^9*T2^6 + 4320*T1^10*T2^6 + 994*T1^11*T2^6 - 887*T1^12*T2^6 + 
     341*T1^13*T2^6 + 374*T1^14*T2^6 + 69*T2^7 + 87*T1*T2^7 - 996*T1^2*T2^7 + 
     473*T1^3*T2^7 + 1818*T1^4*T2^7 - 5862*T1^5*T2^7 + 2603*T1^6*T2^7 + 
     1179*T1^7*T2^7 - 4655*T1^8*T2^7 + 2774*T1^9*T2^7 + 2950*T1^10*T2^7 - 
     6523*T1^11*T2^7 + 1125*T1^12*T2^7 + 315*T1^13*T2^7 - 849*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 86*T1*T2^8 + 539*T1^2*T2^8 + 1035*T1^3*T2^8 - 
     2602*T1^4*T2^8 + 3994*T1^5*T2^8 + 2869*T1^6*T2^8 - 4655*T1^7*T2^8 + 
     4416*T1^8*T2^8 + 775*T1^9*T2^8 - 4285*T1^10*T2^8 + 2914*T1^11*T2^8 + 
     4818*T1^12*T2^8 - 2539*T1^13*T2^8 + 1133*T1^14*T2^8 + 598*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 165*T1^2*T2^9 - 1249*T1^3*T2^9 + 
     855*T1^4*T2^9 + 267*T1^5*T2^9 - 6586*T1^6*T2^9 + 2774*T1^7*T2^9 + 
     775*T1^8*T2^9 - 5059*T1^9*T2^9 + 2945*T1^10*T2^9 + 2226*T1^11*T2^9 - 
     8074*T1^12*T2^9 + 1507*T1^13*T2^9 + 62*T1^14*T2^9 - 1101*T1^15*T2^9 - 
     219*T1^16*T2^9 + 6*T1^2*T2^10 + 665*T1^3*T2^10 + 875*T1^4*T2^10 - 
     2040*T1^5*T2^10 + 4320*T1^6*T2^10 + 2950*T1^7*T2^10 - 4285*T1^8*T2^10 + 
     2945*T1^9*T2^10 + 3775*T1^10*T2^10 - 8034*T1^11*T2^10 + 
     8442*T1^12*T2^10 + 582*T1^13*T2^10 - 809*T1^14*T2^10 + 845*T1^15*T2^10 + 
     558*T1^16*T2^10 - 156*T1^3*T2^11 - 882*T1^4*T2^11 + 268*T1^5*T2^11 + 
     994*T1^6*T2^11 - 6523*T1^7*T2^11 + 2914*T1^8*T2^11 + 2226*T1^9*T2^11 - 
     8034*T1^10*T2^11 + 8032*T1^11*T2^11 - 4386*T1^12*T2^11 - 
     2658*T1^13*T2^11 + 505*T1^14*T2^11 + 126*T1^15*T2^11 - 896*T1^16*T2^11 + 
     353*T1^4*T2^12 + 450*T1^5*T2^12 - 887*T1^6*T2^12 + 1125*T1^7*T2^12 + 
     4818*T1^8*T2^12 - 8074*T1^9*T2^12 + 8442*T1^10*T2^12 - 
     4386*T1^11*T2^12 + 274*T1^12*T2^12 + 2383*T1^13*T2^12 + 
     1031*T1^14*T2^12 - 1314*T1^15*T2^12 + 1041*T1^16*T2^12 - 
     452*T1^5*T2^13 + 341*T1^6*T2^13 + 315*T1^7*T2^13 - 2539*T1^8*T2^13 + 
     1507*T1^9*T2^13 + 582*T1^10*T2^13 - 2658*T1^11*T2^13 + 
     2383*T1^12*T2^13 - 505*T1^13*T2^13 - 2514*T1^14*T2^13 + 
     1925*T1^15*T2^13 - 896*T1^16*T2^13 + 374*T1^6*T2^14 - 849*T1^7*T2^14 + 
     1133*T1^8*T2^14 + 62*T1^9*T2^14 - 809*T1^10*T2^14 + 505*T1^11*T2^14 + 
     1031*T1^12*T2^14 - 2514*T1^13*T2^14 + 3065*T1^14*T2^14 - 
     1677*T1^15*T2^14 + 558*T1^16*T2^14 - 183*T1^7*T2^15 + 598*T1^8*T2^15 - 
     1101*T1^9*T2^15 + 845*T1^10*T2^15 + 126*T1^11*T2^15 - 1314*T1^12*T2^15 + 
     1925*T1^13*T2^15 - 1677*T1^14*T2^15 + 796*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 558*T1^10*T2^16 - 
     896*T1^11*T2^16 + 1041*T1^12*T2^16 - 896*T1^13*T2^16 + 558*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 590] -> 
  {-((2 - 9*T + 19*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-57 + 255*T1 - 535*T1^2 + 814*T1^3 - 925*T1^4 + 814*T1^5 - 
      535*T1^6 + 255*T1^7 - 57*T1^8 + 255*T2 - 924*T1*T2 + 1422*T1^2*T2 - 
      1599*T1^3*T2 + 1023*T1^4*T2 - 93*T1^5*T2 - 735*T1^6*T2 + 918*T1^7*T2 - 
      726*T1^8*T2 + 219*T1^9*T2 - 535*T2^2 + 1422*T1*T2^2 - 1036*T1^2*T2^2 + 
      128*T1^3*T2^2 + 1800*T1^4*T2^2 - 2918*T1^5*T2^2 + 2864*T1^6*T2^2 - 
      1392*T1^7*T2^2 + 256*T1^8*T2^2 + 738*T1^9*T2^2 - 383*T1^10*T2^2 + 
      814*T2^3 - 1599*T1*T2^3 + 128*T1^2*T2^3 + 685*T1^3*T2^3 - 
      2387*T1^4*T2^3 + 1784*T1^5*T2^3 - 466*T1^6*T2^3 - 1487*T1^7*T2^3 + 
      1291*T1^8*T2^3 - 1297*T1^9*T2^3 - 375*T1^10*T2^3 + 466*T1^11*T2^3 - 
      925*T2^4 + 1023*T1*T2^4 + 1800*T1^2*T2^4 - 2387*T1^3*T2^4 + 
      4595*T1^4*T2^4 - 3334*T1^5*T2^4 + 2683*T1^6*T2^4 - 1306*T1^7*T2^4 + 
      2339*T1^8*T2^4 - 1169*T1^9*T2^4 + 2118*T1^10*T2^4 - 309*T1^11*T2^4 - 
      397*T1^12*T2^4 + 814*T2^5 - 93*T1*T2^5 - 2918*T1^2*T2^5 + 
      1784*T1^3*T2^5 - 3334*T1^4*T2^5 + 684*T1^5*T2^5 - 735*T1^6*T2^5 - 
      249*T1^7*T2^5 - 1300*T1^8*T2^5 - 711*T1^9*T2^5 - 674*T1^10*T2^5 - 
      1511*T1^11*T2^5 + 735*T1^12*T2^5 + 234*T1^13*T2^5 - 535*T2^6 - 
      735*T1*T2^6 + 2864*T1^2*T2^6 - 466*T1^3*T2^6 + 2683*T1^4*T2^6 - 
      735*T1^5*T2^6 + 2854*T1^6*T2^6 - 2358*T1^7*T2^6 + 3406*T1^8*T2^6 - 
      63*T1^9*T2^6 + 1249*T1^10*T2^6 + 1472*T1^11*T2^6 + 308*T1^12*T2^6 - 
      699*T1^13*T2^6 - 79*T1^14*T2^6 + 255*T2^7 + 918*T1*T2^7 - 
      1392*T1^2*T2^7 - 1487*T1^3*T2^7 - 1306*T1^4*T2^7 - 249*T1^5*T2^7 - 
      2358*T1^6*T2^7 + 1179*T1^7*T2^7 - 1365*T1^8*T2^7 - 1737*T1^9*T2^7 - 
      363*T1^10*T2^7 - 1549*T1^11*T2^7 - 1115*T1^12*T2^7 + 603*T1^13*T2^7 + 
      342*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 726*T1*T2^8 + 256*T1^2*T2^8 + 
      1291*T1^3*T2^8 + 2339*T1^4*T2^8 - 1300*T1^5*T2^8 + 3406*T1^6*T2^8 - 
      1365*T1^7*T2^8 + 864*T1^8*T2^8 + 1277*T1^9*T2^8 + 1044*T1^10*T2^8 + 
      528*T1^11*T2^8 + 1599*T1^12*T2^8 - 35*T1^13*T2^8 - 622*T1^14*T2^8 - 
      42*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 738*T1^2*T2^9 - 
      1297*T1^3*T2^9 - 1169*T1^4*T2^9 - 711*T1^5*T2^9 - 63*T1^6*T2^9 - 
      1737*T1^7*T2^9 + 1277*T1^8*T2^9 - 1267*T1^9*T2^9 - 1116*T1^10*T2^9 - 
      177*T1^11*T2^9 - 954*T1^12*T2^9 - 797*T1^13*T2^9 + 698*T1^14*T2^9 + 
      162*T1^15*T2^9 - 33*T1^16*T2^9 - 383*T1^2*T2^10 - 375*T1^3*T2^10 + 
      2118*T1^4*T2^10 - 674*T1^5*T2^10 + 1249*T1^6*T2^10 - 363*T1^7*T2^10 + 
      1044*T1^8*T2^10 - 1116*T1^9*T2^10 + 1596*T1^10*T2^10 + 
      309*T1^11*T2^10 - 185*T1^12*T2^10 + 1264*T1^13*T2^10 - 
      438*T1^14*T2^10 - 339*T1^15*T2^10 + 73*T1^16*T2^10 + 466*T1^3*T2^11 - 
      309*T1^4*T2^11 - 1511*T1^5*T2^11 + 1472*T1^6*T2^11 - 1549*T1^7*T2^11 + 
      528*T1^8*T2^11 - 177*T1^9*T2^11 + 309*T1^10*T2^11 - 1456*T1^11*T2^11 + 
      1074*T1^12*T2^11 - 986*T1^13*T2^11 - 104*T1^14*T2^11 + 
      519*T1^15*T2^11 - 114*T1^16*T2^11 - 397*T1^4*T2^12 + 735*T1^5*T2^12 + 
      308*T1^6*T2^12 - 1115*T1^7*T2^12 + 1599*T1^8*T2^12 - 954*T1^9*T2^12 - 
      185*T1^10*T2^12 + 1074*T1^11*T2^12 - 657*T1^12*T2^12 + 
      103*T1^13*T2^12 + 626*T1^14*T2^12 - 597*T1^15*T2^12 + 131*T1^16*T2^12 + 
      234*T1^5*T2^13 - 699*T1^6*T2^13 + 603*T1^7*T2^13 - 35*T1^8*T2^13 - 
      797*T1^9*T2^13 + 1264*T1^10*T2^13 - 986*T1^11*T2^13 + 103*T1^12*T2^13 + 
      571*T1^13*T2^13 - 822*T1^14*T2^13 + 525*T1^15*T2^13 - 114*T1^16*T2^13 - 
      79*T1^6*T2^14 + 342*T1^7*T2^14 - 622*T1^8*T2^14 + 698*T1^9*T2^14 - 
      438*T1^10*T2^14 - 104*T1^11*T2^14 + 626*T1^12*T2^14 - 822*T1^13*T2^14 + 
      670*T1^14*T2^14 - 342*T1^15*T2^14 + 73*T1^16*T2^14 + 3*T1^7*T2^15 - 
      42*T1^8*T2^15 + 162*T1^9*T2^15 - 339*T1^10*T2^15 + 519*T1^11*T2^15 - 
      597*T1^12*T2^15 + 525*T1^13*T2^15 - 342*T1^14*T2^15 + 156*T1^15*T2^15 - 
      33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 73*T1^10*T2^16 - 
      114*T1^11*T2^16 + 131*T1^12*T2^16 - 114*T1^13*T2^16 + 73*T1^14*T2^16 - 
      33*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 591] -> 
  {-((3 - 13*T + 24*T^2 - 29*T^3 + 24*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-144 + 620*T1 - 1140*T1^2 + 1378*T1^3 - 1140*T1^4 + 620*T1^5 - 
      144*T1^6 + 620*T2 - 2169*T1*T2 + 2751*T1^2*T2 - 1962*T1^3*T2 + 
      105*T1^4*T2 + 1308*T1^5*T2 - 1545*T1^6*T2 + 503*T1^7*T2 - 1140*T2^2 + 
      2751*T1*T2^2 - 424*T1^2*T2^2 - 3239*T1^3*T2^2 + 6190*T1^4*T2^2 - 
      5543*T1^5*T2^2 + 2600*T1^6*T2^2 + 879*T1^7*T2^2 - 708*T1^8*T2^2 + 
      1378*T2^3 - 1962*T1*T2^3 - 3239*T1^2*T2^3 + 6157*T1^3*T2^3 - 
      5863*T1^4*T2^3 + 1016*T1^5*T2^3 + 2965*T1^6*T2^3 - 4511*T1^7*T2^3 + 
      495*T1^8*T2^3 + 595*T1^9*T2^3 - 1140*T2^4 + 105*T1*T2^4 + 
      6190*T1^2*T2^4 - 5863*T1^3*T2^4 + 2493*T1^4*T2^4 + 3013*T1^5*T2^4 - 
      3523*T1^6*T2^4 + 1619*T1^7*T2^4 + 3300*T1^8*T2^4 - 1377*T1^9*T2^4 - 
      276*T1^10*T2^4 + 620*T2^5 + 1308*T1*T2^5 - 5543*T1^2*T2^5 + 
      1016*T1^3*T2^5 + 3013*T1^4*T2^5 - 4889*T1^5*T2^5 + 487*T1^6*T2^5 + 
      2533*T1^7*T2^5 - 4657*T1^8*T2^5 - 143*T1^9*T2^5 + 1035*T1^10*T2^5 + 
      35*T1^11*T2^5 - 144*T2^6 - 1545*T1*T2^6 + 2600*T1^2*T2^6 + 
      2965*T1^3*T2^6 - 3523*T1^4*T2^6 + 487*T1^5*T2^6 + 4788*T1^6*T2^6 - 
      4451*T1^7*T2^6 + 2361*T1^8*T2^6 + 2647*T1^9*T2^6 - 1436*T1^10*T2^6 - 
      219*T1^11*T2^6 + 18*T1^12*T2^6 + 503*T1*T2^7 + 879*T1^2*T2^7 - 
      4511*T1^3*T2^7 + 1619*T1^4*T2^7 + 2533*T1^5*T2^7 - 4451*T1^6*T2^7 + 
      925*T1^7*T2^7 + 2053*T1^8*T2^7 - 4054*T1^9*T2^7 + 889*T1^10*T2^7 + 
      606*T1^11*T2^7 - 82*T1^12*T2^7 - 708*T1^2*T2^8 + 495*T1^3*T2^8 + 
      3300*T1^4*T2^8 - 4657*T1^5*T2^8 + 2361*T1^6*T2^8 + 2053*T1^7*T2^8 - 
      3655*T1^8*T2^8 + 2825*T1^9*T2^8 + 410*T1^10*T2^8 - 987*T1^11*T2^8 + 
      156*T1^12*T2^8 + 595*T1^3*T2^9 - 1377*T1^4*T2^9 - 143*T1^5*T2^9 + 
      2647*T1^6*T2^9 - 4054*T1^7*T2^9 + 2825*T1^8*T2^9 - 545*T1^9*T2^9 - 
      1415*T1^10*T2^9 + 1080*T1^11*T2^9 - 188*T1^12*T2^9 - 276*T1^4*T2^10 + 
      1035*T1^5*T2^10 - 1436*T1^6*T2^10 + 889*T1^7*T2^10 + 410*T1^8*T2^10 - 
      1415*T1^9*T2^10 + 1588*T1^10*T2^10 - 837*T1^11*T2^10 + 
      156*T1^12*T2^10 + 35*T1^5*T2^11 - 219*T1^6*T2^11 + 606*T1^7*T2^11 - 
      987*T1^8*T2^11 + 1080*T1^9*T2^11 - 837*T1^10*T2^11 + 405*T1^11*T2^11 - 
      82*T1^12*T2^11 + 18*T1^6*T2^12 - 82*T1^7*T2^12 + 156*T1^8*T2^12 - 
      188*T1^9*T2^12 + 156*T1^10*T2^12 - 82*T1^11*T2^12 + 18*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 592] -> 
  {-((5 - 24*T + 49*T^2 - 61*T^3 + 49*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((-645 + 3075*T1 - 6231*T1^2 + 7739*T1^3 - 6231*T1^4 + 3075*T1^5 - 
      645*T1^6 + 3075*T2 - 12212*T1*T2 + 18007*T1^2*T2 - 13118*T1^3*T2 + 
      82*T1^4*T2 + 9247*T1^5*T2 - 8732*T1^6*T2 + 2475*T1^7*T2 - 6231*T2^2 + 
      18007*T1*T2^2 - 7955*T1^2*T2^2 - 21353*T1^3*T2^2 + 45505*T1^4*T2^2 - 
      39483*T1^5*T2^2 + 13605*T1^6*T2^2 + 6247*T1^7*T2^2 - 3781*T1^8*T2^2 + 
      7739*T2^3 - 13118*T1*T2^3 - 21353*T1^2*T2^3 + 57039*T1^3*T2^3 - 
      54657*T1^4*T2^3 + 7908*T1^5*T2^3 + 31581*T1^6*T2^3 - 32084*T1^7*T2^3 + 
      2962*T1^8*T2^3 + 3164*T1^9*T2^3 - 6231*T2^4 + 82*T1*T2^4 + 
      45505*T1^2*T2^4 - 54657*T1^3*T2^4 + 11230*T1^4*T2^4 + 48260*T1^5*T2^4 - 
      53986*T1^6*T2^4 + 14395*T1^7*T2^4 + 23253*T1^8*T2^4 - 8798*T1^9*T2^4 - 
      1331*T1^10*T2^4 + 3075*T2^5 + 9247*T1*T2^5 - 39483*T1^2*T2^5 + 
      7908*T1^3*T2^5 + 48260*T1^4*T2^5 - 68805*T1^5*T2^5 + 19841*T1^6*T2^5 + 
      33511*T1^7*T2^5 - 41683*T1^8*T2^5 + 844*T1^9*T2^5 + 6007*T1^10*T2^5 + 
      75*T1^11*T2^5 - 645*T2^6 - 8732*T1*T2^6 + 13605*T1^2*T2^6 + 
      31581*T1^3*T2^6 - 53986*T1^4*T2^6 + 19841*T1^5*T2^6 + 44196*T1^6*T2^6 - 
      60057*T1^7*T2^6 + 24108*T1^8*T2^6 + 20079*T1^9*T2^6 - 
      10331*T1^10*T2^6 - 812*T1^11*T2^6 + 105*T1^12*T2^6 + 2475*T1*T2^7 + 
      6247*T1^2*T2^7 - 32084*T1^3*T2^7 + 14395*T1^4*T2^7 + 33511*T1^5*T2^7 - 
      60057*T1^6*T2^7 + 28589*T1^7*T2^7 + 18762*T1^8*T2^7 - 35196*T1^9*T2^7 + 
      8243*T1^10*T2^7 + 3007*T1^11*T2^7 - 525*T1^12*T2^7 - 3781*T1^2*T2^8 + 
      2962*T1^3*T2^8 + 23253*T1^4*T2^8 - 41683*T1^5*T2^8 + 24108*T1^6*T2^8 + 
      18762*T1^7*T2^8 - 41108*T1^8*T2^8 + 27369*T1^9*T2^8 + 1001*T1^10*T2^8 - 
      5918*T1^11*T2^8 + 1119*T1^12*T2^8 + 3164*T1^3*T2^9 - 8798*T1^4*T2^9 + 
      844*T1^5*T2^9 + 20079*T1^6*T2^9 - 35196*T1^7*T2^9 + 27369*T1^8*T2^9 - 
      5379*T1^9*T2^9 - 9887*T1^10*T2^9 + 7282*T1^11*T2^9 - 1411*T1^12*T2^9 - 
      1331*T1^4*T2^10 + 6007*T1^5*T2^10 - 10331*T1^6*T2^10 + 
      8243*T1^7*T2^10 + 1001*T1^8*T2^10 - 9887*T1^9*T2^10 + 
      11229*T1^10*T2^10 - 5753*T1^11*T2^10 + 1119*T1^12*T2^10 + 
      75*T1^5*T2^11 - 812*T1^6*T2^11 + 3007*T1^7*T2^11 - 5918*T1^8*T2^11 + 
      7282*T1^9*T2^11 - 5753*T1^10*T2^11 + 2668*T1^11*T2^11 - 
      525*T1^12*T2^11 + 105*T1^6*T2^12 - 525*T1^7*T2^12 + 1119*T1^8*T2^12 - 
      1411*T1^9*T2^12 + 1119*T1^10*T2^12 - 525*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 593] -> 
  {-((4 - 19*T + 41*T^2 - 53*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-192 + 908*T1 - 1960*T1^2 + 2536*T1^3 - 1960*T1^4 + 908*T1^5 - 
      192*T1^6 + 908*T2 - 3694*T1*T2 + 6427*T1^2*T2 - 5843*T1^3*T2 + 
      1301*T1^4*T2 + 1867*T1^5*T2 - 1946*T1^6*T2 + 604*T1^7*T2 - 1960*T2^2 + 
      6427*T1*T2^2 - 7229*T1^2*T2^2 - 55*T1^3*T2^2 + 10937*T1^4*T2^2 - 
      11207*T1^5*T2^2 + 4907*T1^6*T2^2 + 195*T1^7*T2^2 - 648*T1^8*T2^2 + 
      2536*T2^3 - 5843*T1*T2^3 - 55*T1^2*T2^3 + 14757*T1^3*T2^3 - 
      24313*T1^4*T2^3 + 10753*T1^5*T2^3 + 4269*T1^6*T2^3 - 8214*T1^7*T2^3 + 
      3125*T1^8*T2^3 - 8*T1^9*T2^3 - 1960*T2^4 + 1301*T1*T2^4 + 
      10937*T1^2*T2^4 - 24313*T1^3*T2^4 + 19094*T1^4*T2^4 + 11664*T1^5*T2^4 - 
      25110*T1^6*T2^4 + 15437*T1^7*T2^4 - 433*T1^8*T2^4 - 3107*T1^9*T2^4 + 
      664*T1^10*T2^4 + 908*T2^5 + 1867*T1*T2^5 - 11207*T1^2*T2^5 + 
      10753*T1^3*T2^5 + 11664*T1^4*T2^5 - 41080*T1^5*T2^5 + 31702*T1^6*T2^5 - 
      1087*T1^7*T2^5 - 14945*T1^8*T2^5 + 8924*T1^9*T2^5 - 261*T1^10*T2^5 - 
      612*T1^11*T2^5 - 192*T2^6 - 1946*T1*T2^6 + 4907*T1^2*T2^6 + 
      4269*T1^3*T2^6 - 25110*T1^4*T2^6 + 31702*T1^5*T2^6 - 432*T1^6*T2^6 - 
      31002*T1^7*T2^6 + 26688*T1^8*T2^6 - 5493*T1^9*T2^6 - 5145*T1^10*T2^6 + 
      2006*T1^11*T2^6 + 192*T1^12*T2^6 + 604*T1*T2^7 + 195*T1^2*T2^7 - 
      8214*T1^3*T2^7 + 15437*T1^4*T2^7 - 1087*T1^5*T2^7 - 31002*T1^6*T2^7 + 
      41780*T1^7*T2^7 - 13838*T1^8*T2^7 - 10261*T1^9*T2^7 + 
      11917*T1^10*T2^7 - 1933*T1^11*T2^7 - 916*T1^12*T2^7 - 648*T1^2*T2^8 + 
      3125*T1^3*T2^8 - 433*T1^4*T2^8 - 14945*T1^5*T2^8 + 26688*T1^6*T2^8 - 
      13838*T1^7*T2^8 - 17516*T1^8*T2^8 + 24805*T1^9*T2^8 - 
      11803*T1^10*T2^8 - 1283*T1^11*T2^8 + 1976*T1^12*T2^8 - 8*T1^3*T2^9 - 
      3107*T1^4*T2^9 + 8924*T1^5*T2^9 - 5493*T1^6*T2^9 - 10261*T1^7*T2^9 + 
      24805*T1^8*T2^9 - 15981*T1^9*T2^9 + 765*T1^10*T2^9 + 5861*T1^11*T2^9 - 
      2552*T1^12*T2^9 + 664*T1^4*T2^10 - 261*T1^5*T2^10 - 5145*T1^6*T2^10 + 
      11917*T1^7*T2^10 - 11803*T1^8*T2^10 + 765*T1^9*T2^10 + 
      6991*T1^10*T2^10 - 6493*T1^11*T2^10 + 1976*T1^12*T2^10 - 
      612*T1^5*T2^11 + 2006*T1^6*T2^11 - 1933*T1^7*T2^11 - 1283*T1^8*T2^11 + 
      5861*T1^9*T2^11 - 6493*T1^10*T2^11 + 3754*T1^11*T2^11 - 
      916*T1^12*T2^11 + 192*T1^6*T2^12 - 916*T1^7*T2^12 + 1976*T1^8*T2^12 - 
      2552*T1^9*T2^12 + 1976*T1^10*T2^12 - 916*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 594] -> 
  {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-45 + 167*T1 - 334*T1^2 + 411*T1^3 - 334*T1^4 + 167*T1^5 - 45*T1^6 + 
     167*T2 - 551*T1*T2 + 982*T1^2*T2 - 1011*T1^3*T2 + 606*T1^4*T2 - 
     107*T1^5*T2 - 89*T1^6*T2 + 68*T1^7*T2 - 334*T2^2 + 982*T1*T2^2 - 
     1456*T1^2*T2^2 + 970*T1^3*T2^2 + 206*T1^4*T2^2 - 1142*T1^5*T2^2 + 
     1052*T1^6*T2^2 - 470*T1^7*T2^2 + 62*T1^8*T2^2 + 411*T2^3 - 
     1011*T1*T2^3 + 970*T1^2*T2^3 + 279*T1^3*T2^3 - 1822*T1^4*T2^3 + 
     2017*T1^5*T2^3 - 417*T1^6*T2^3 - 988*T1^7*T2^3 + 936*T1^8*T2^3 - 
     318*T1^9*T2^3 - 334*T2^4 + 606*T1*T2^4 + 206*T1^2*T2^4 - 
     1822*T1^3*T2^4 + 2868*T1^4*T2^4 - 1280*T1^5*T2^4 - 1620*T1^6*T2^4 + 
     2336*T1^7*T2^4 - 520*T1^8*T2^4 - 516*T1^9*T2^4 + 458*T1^10*T2^4 + 
     167*T2^5 - 107*T1*T2^5 - 1142*T1^2*T2^5 + 2017*T1^3*T2^5 - 
     1280*T1^4*T2^5 - 2559*T1^5*T2^5 + 4899*T1^6*T2^5 - 2732*T1^7*T2^5 - 
     1184*T1^8*T2^5 + 1432*T1^9*T2^5 - 470*T1^10*T2^5 - 328*T1^11*T2^5 - 
     45*T2^6 - 89*T1*T2^6 + 1052*T1^2*T2^6 - 417*T1^3*T2^6 - 1620*T1^4*T2^6 + 
     4899*T1^5*T2^6 - 3144*T1^6*T2^6 - 1987*T1^7*T2^6 + 4892*T1^8*T2^6 - 
     1875*T1^9*T2^6 - 180*T1^10*T2^6 + 769*T1^11*T2^6 + 117*T1^12*T2^6 + 
     68*T1*T2^7 - 470*T1^2*T2^7 - 988*T1^3*T2^7 + 2336*T1^4*T2^7 - 
     2732*T1^5*T2^7 - 1987*T1^6*T2^7 + 5471*T1^7*T2^7 - 4184*T1^8*T2^7 - 
     865*T1^9*T2^7 + 1586*T1^10*T2^7 - 833*T1^11*T2^7 - 427*T1^12*T2^7 + 
     62*T1^2*T2^8 + 936*T1^3*T2^8 - 520*T1^4*T2^8 - 1184*T1^5*T2^8 + 
     4892*T1^6*T2^8 - 4184*T1^7*T2^8 + 404*T1^8*T2^8 + 2974*T1^9*T2^8 - 
     1246*T1^10*T2^8 - 186*T1^11*T2^8 + 854*T1^12*T2^8 - 318*T1^3*T2^9 - 
     516*T1^4*T2^9 + 1432*T1^5*T2^9 - 1875*T1^6*T2^9 - 865*T1^7*T2^9 + 
     2974*T1^8*T2^9 - 2571*T1^9*T2^9 - 526*T1^10*T2^9 + 1431*T1^11*T2^9 - 
     1047*T1^12*T2^9 + 458*T1^4*T2^10 - 470*T1^5*T2^10 - 180*T1^6*T2^10 + 
     1586*T1^7*T2^10 - 1246*T1^8*T2^10 - 526*T1^9*T2^10 + 2328*T1^10*T2^10 - 
     1922*T1^11*T2^10 + 854*T1^12*T2^10 - 328*T1^5*T2^11 + 769*T1^6*T2^11 - 
     833*T1^7*T2^11 - 186*T1^8*T2^11 + 1431*T1^9*T2^11 - 1922*T1^10*T2^11 + 
     1231*T1^11*T2^11 - 427*T1^12*T2^11 + 117*T1^6*T2^12 - 427*T1^7*T2^12 + 
     854*T1^8*T2^12 - 1047*T1^9*T2^12 + 854*T1^10*T2^12 - 427*T1^11*T2^12 + 
     117*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 595] -> 
  {(2 - 13*T + 33*T^2 - 43*T^3 + 33*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-31 + 201*T1 - 509*T1^2 + 663*T1^3 - 509*T1^4 + 201*T1^5 - 31*T1^6 + 
     201*T2 - 1154*T1*T2 + 2334*T1^2*T2 - 1856*T1^3*T2 + 120*T1^4*T2 + 
     1138*T1^5*T2 - 764*T1^6*T2 + 149*T1^7*T2 - 509*T2^2 + 2334*T1*T2^2 - 
     2389*T1^2*T2^2 - 3195*T1^3*T2^2 + 8043*T1^4*T2^2 - 7155*T1^5*T2^2 + 
     1703*T1^6*T2^2 + 618*T1^7*T2^2 - 245*T1^8*T2^2 + 663*T2^3 - 
     1856*T1*T2^3 - 3195*T1^2*T2^3 + 15347*T1^3*T2^3 - 16169*T1^4*T2^3 + 
     4567*T1^5*T2^3 + 7223*T1^6*T2^3 - 5274*T1^7*T2^3 + 640*T1^8*T2^3 + 
     147*T1^9*T2^3 - 509*T2^4 + 120*T1*T2^4 + 8043*T1^2*T2^4 - 
     16169*T1^3*T2^4 + 1155*T1^4*T2^4 + 19909*T1^5*T2^4 - 24201*T1^6*T2^4 + 
     7137*T1^7*T2^4 + 2221*T1^8*T2^4 - 1076*T1^9*T2^4 + 19*T1^10*T2^4 + 
     201*T2^5 + 1138*T1*T2^5 - 7155*T1^2*T2^5 + 4567*T1^3*T2^5 + 
     19909*T1^4*T2^5 - 32946*T1^5*T2^5 + 17646*T1^6*T2^5 + 8260*T1^7*T2^5 - 
     11029*T1^8*T2^5 + 2448*T1^9*T2^5 + 254*T1^10*T2^5 - 59*T1^11*T2^5 - 
     31*T2^6 - 764*T1*T2^6 + 1703*T1^2*T2^6 + 7223*T1^3*T2^6 - 
     24201*T1^4*T2^6 + 17646*T1^5*T2^6 + 10416*T1^6*T2^6 - 27050*T1^7*T2^6 + 
     15041*T1^8*T2^6 + 185*T1^9*T2^6 - 1937*T1^10*T2^6 + 276*T1^11*T2^6 + 
     17*T1^12*T2^6 + 149*T1*T2^7 + 618*T1^2*T2^7 - 5274*T1^3*T2^7 + 
     7137*T1^4*T2^7 + 8260*T1^5*T2^7 - 27050*T1^6*T2^7 + 23542*T1^7*T2^7 - 
     3389*T1^8*T2^7 - 8459*T1^9*T2^7 + 4329*T1^10*T2^7 - 266*T1^11*T2^7 - 
     111*T1^12*T2^7 - 245*T1^2*T2^8 + 640*T1^3*T2^8 + 2221*T1^4*T2^8 - 
     11029*T1^5*T2^8 + 15041*T1^6*T2^8 - 3389*T1^7*T2^8 - 10315*T1^8*T2^8 + 
     12277*T1^9*T2^8 - 3601*T1^10*T2^8 - 556*T1^11*T2^8 + 283*T1^12*T2^8 + 
     147*T1^3*T2^9 - 1076*T1^4*T2^9 + 2448*T1^5*T2^9 + 185*T1^6*T2^9 - 
     8459*T1^7*T2^9 + 12277*T1^8*T2^9 - 7939*T1^9*T2^9 + 369*T1^10*T2^9 + 
     1420*T1^11*T2^9 - 369*T1^12*T2^9 + 19*T1^4*T2^10 + 254*T1^5*T2^10 - 
     1937*T1^6*T2^10 + 4329*T1^7*T2^10 - 3601*T1^8*T2^10 + 369*T1^9*T2^10 + 
     2155*T1^10*T2^10 - 1462*T1^11*T2^10 + 283*T1^12*T2^10 - 59*T1^5*T2^11 + 
     276*T1^6*T2^11 - 266*T1^7*T2^11 - 556*T1^8*T2^11 + 1420*T1^9*T2^11 - 
     1462*T1^10*T2^11 + 666*T1^11*T2^11 - 111*T1^12*T2^11 + 17*T1^6*T2^12 - 
     111*T1^7*T2^12 + 283*T1^8*T2^12 - 369*T1^9*T2^12 + 283*T1^10*T2^12 - 
     111*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 596] -> {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   (-333 + 1109*T1 - 1595*T1^2 + 1109*T1^3 - 333*T1^4 + 1109*T2 - 
     3300*T1*T2 + 4014*T1^2*T2 - 1866*T1^3*T2 - 180*T1^4*T2 + 389*T1^5*T2 - 
     1595*T2^2 + 4014*T1*T2^2 - 2664*T1^2*T2^2 - 2736*T1^3*T2^2 + 
     5340*T1^4*T2^2 - 2946*T1^5*T2^2 + 493*T1^6*T2^2 + 1109*T2^3 - 
     1866*T1*T2^3 - 2736*T1^2*T2^3 + 9614*T1^3*T2^3 - 9446*T1^4*T2^3 + 
     1904*T1^5*T2^3 + 1854*T1^6*T2^3 - 1051*T1^7*T2^3 - 333*T2^4 - 
     180*T1*T2^4 + 5340*T1^2*T2^4 - 9446*T1^3*T2^4 + 4416*T1^4*T2^4 + 
     6074*T1^5*T2^4 - 6484*T1^6*T2^4 + 1740*T1^7*T2^4 + 531*T1^8*T2^4 + 
     389*T1*T2^5 - 2946*T1^2*T2^5 + 1904*T1^3*T2^5 + 6074*T1^4*T2^5 - 
     12986*T1^5*T2^5 + 6544*T1^6*T2^5 + 774*T1^7*T2^5 - 1771*T1^8*T2^5 + 
     493*T1^2*T2^6 + 1854*T1^3*T2^6 - 6484*T1^4*T2^6 + 6544*T1^5*T2^6 + 
     1520*T1^6*T2^6 - 5106*T1^7*T2^6 + 2581*T1^8*T2^6 - 1051*T1^3*T2^7 + 
     1740*T1^4*T2^7 + 774*T1^5*T2^7 - 5106*T1^6*T2^7 + 4860*T1^7*T2^7 - 
     1771*T1^8*T2^7 + 531*T1^4*T2^8 - 1771*T1^5*T2^8 + 2581*T1^6*T2^8 - 
     1771*T1^7*T2^8 + 531*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 597] -> 
  {(2 - 13*T + 29*T^2 - 35*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-17 + 111*T1 - 249*T1^2 + 301*T1^3 - 249*T1^4 + 111*T1^5 - 17*T1^6 + 
     111*T2 - 666*T1*T2 + 1240*T1^2*T2 - 1094*T1^3*T2 + 570*T1^4*T2 + 
     148*T1^5*T2 - 276*T1^6*T2 + 59*T1^7*T2 - 249*T2^2 + 1240*T1*T2^2 - 
     1089*T1^2*T2^2 - 1303*T1^3*T2^2 + 3117*T1^4*T2^2 - 3855*T1^5*T2^2 + 
     2043*T1^6*T2^2 - 268*T1^7*T2^2 - 17*T1^8*T2^2 + 301*T2^3 - 
     1094*T1*T2^3 - 1303*T1^2*T2^3 + 6721*T1^3*T2^3 - 8385*T1^4*T2^3 + 
     6923*T1^5*T2^3 - 1343*T1^6*T2^3 - 1738*T1^7*T2^3 + 882*T1^8*T2^3 - 
     119*T1^9*T2^3 - 249*T2^4 + 570*T1*T2^4 + 3117*T1^2*T2^4 - 
     8385*T1^3*T2^4 + 6249*T1^4*T2^4 - 547*T1^5*T2^4 - 7507*T1^6*T2^4 + 
     8065*T1^7*T2^4 - 1985*T1^8*T2^4 - 626*T1^9*T2^4 + 215*T1^10*T2^4 + 
     111*T2^5 + 148*T1*T2^5 - 3855*T1^2*T2^5 + 6923*T1^3*T2^5 - 
     547*T1^4*T2^5 - 7452*T1^5*T2^5 + 11956*T1^6*T2^5 - 5100*T1^7*T2^5 - 
     6101*T1^8*T2^5 + 5048*T1^9*T2^5 - 424*T1^10*T2^5 - 149*T1^11*T2^5 - 
     17*T2^6 - 276*T1*T2^6 + 2043*T1^2*T2^6 - 1343*T1^3*T2^6 - 
     7507*T1^4*T2^6 + 11956*T1^5*T2^6 - 5520*T1^6*T2^6 - 7108*T1^7*T2^6 + 
     14943*T1^8*T2^6 - 4445*T1^9*T2^6 - 2685*T1^10*T2^6 + 764*T1^11*T2^6 + 
     31*T1^12*T2^6 + 59*T1*T2^7 - 268*T1^2*T2^7 - 1738*T1^3*T2^7 + 
     8065*T1^4*T2^7 - 5100*T1^5*T2^7 - 7108*T1^6*T2^7 + 12300*T1^7*T2^7 - 
     9653*T1^8*T2^7 - 4959*T1^9*T2^7 + 7165*T1^10*T2^7 - 840*T1^11*T2^7 - 
     201*T1^12*T2^7 - 17*T1^2*T2^8 + 882*T1^3*T2^8 - 1985*T1^4*T2^8 - 
     6101*T1^5*T2^8 + 14943*T1^6*T2^8 - 9653*T1^7*T2^8 + 1187*T1^8*T2^8 + 
     10349*T1^9*T2^8 - 7087*T1^10*T2^8 - 314*T1^11*T2^8 + 447*T1^12*T2^8 - 
     119*T1^3*T2^9 - 626*T1^4*T2^9 + 5048*T1^5*T2^9 - 4445*T1^6*T2^9 - 
     4959*T1^7*T2^9 + 10349*T1^8*T2^9 - 12509*T1^9*T2^9 + 4613*T1^10*T2^9 + 
     1350*T1^11*T2^9 - 539*T1^12*T2^9 + 215*T1^4*T2^10 - 424*T1^5*T2^10 - 
     2685*T1^6*T2^10 + 7165*T1^7*T2^10 - 7087*T1^8*T2^10 + 4613*T1^9*T2^10 + 
     447*T1^10*T2^10 - 1932*T1^11*T2^10 + 447*T1^12*T2^10 - 149*T1^5*T2^11 + 
     764*T1^6*T2^11 - 840*T1^7*T2^11 - 314*T1^8*T2^11 + 1350*T1^9*T2^11 - 
     1932*T1^10*T2^11 + 1154*T1^11*T2^11 - 201*T1^12*T2^11 + 31*T1^6*T2^12 - 
     201*T1^7*T2^12 + 447*T1^8*T2^12 - 539*T1^9*T2^12 + 447*T1^10*T2^12 - 
     201*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 598] -> 
  {-((2 - 10*T + 25*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 203*T1 - 504*T1^2 + 865*T1^3 - 1025*T1^4 + 865*T1^5 - 
      504*T1^6 + 203*T1^7 - 41*T1^8 + 203*T2 - 844*T1*T2 + 1696*T1^2*T2 - 
      2293*T1^3*T2 + 1655*T1^4*T2 - 225*T1^5*T2 - 933*T1^6*T2 + 996*T1^7*T2 - 
      604*T1^8*T2 + 163*T1^9*T2 - 504*T2^2 + 1696*T1*T2^2 - 2525*T1^2*T2^2 + 
      2240*T1^3*T2^2 + 676*T1^4*T2^2 - 3151*T1^5*T2^2 + 3276*T1^6*T2^2 - 
      1060*T1^7*T2^2 - 225*T1^8*T2^2 + 696*T1^9*T2^2 - 304*T1^10*T2^2 + 
      865*T2^3 - 2293*T1*T2^3 + 2240*T1^2*T2^3 - 726*T1^3*T2^3 - 
      3903*T1^4*T2^3 + 4491*T1^5*T2^3 - 1465*T1^6*T2^3 - 2641*T1^7*T2^3 + 
      2134*T1^8*T2^3 - 1210*T1^9*T2^3 - 213*T1^10*T2^3 + 349*T1^11*T2^3 - 
      1025*T2^4 + 1655*T1*T2^4 + 676*T1^2*T2^4 - 3903*T1^3*T2^4 + 
      9483*T1^4*T2^4 - 6011*T1^5*T2^4 + 525*T1^6*T2^4 + 2885*T1^7*T2^4 + 
      1095*T1^8*T2^4 - 1667*T1^9*T2^4 + 2276*T1^10*T2^4 - 705*T1^11*T2^4 - 
      209*T1^12*T2^4 + 865*T2^5 - 225*T1*T2^5 - 3151*T1^2*T2^5 + 
      4491*T1^3*T2^5 - 6011*T1^4*T2^5 - 3807*T1^5*T2^5 + 7539*T1^6*T2^5 - 
      4521*T1^7*T2^5 - 4687*T1^8*T2^5 + 3284*T1^9*T2^5 - 2369*T1^10*T2^5 - 
      751*T1^11*T2^5 + 1015*T1^12*T2^5 + 5*T1^13*T2^5 - 504*T2^6 - 
      933*T1*T2^6 + 3276*T1^2*T2^6 - 1465*T1^3*T2^6 + 525*T1^4*T2^6 + 
      7539*T1^5*T2^6 - 756*T1^6*T2^6 - 9440*T1^7*T2^6 + 15684*T1^8*T2^6 - 
      5231*T1^9*T2^6 + 515*T1^10*T2^6 + 3135*T1^11*T2^6 - 1324*T1^12*T2^6 - 
      493*T1^13*T2^6 + 96*T1^14*T2^6 + 203*T2^7 + 996*T1*T2^7 - 
      1060*T1^2*T2^7 - 2641*T1^3*T2^7 + 2885*T1^4*T2^7 - 4521*T1^5*T2^7 - 
      9440*T1^6*T2^7 + 16856*T1^7*T2^7 - 12056*T1^8*T2^7 - 4291*T1^9*T2^7 + 
      6119*T1^10*T2^7 - 4814*T1^11*T2^7 - 7*T1^12*T2^7 + 1490*T1^13*T2^7 - 
      104*T1^14*T2^7 - 77*T1^15*T2^7 - 41*T2^8 - 604*T1*T2^8 - 
      225*T1^2*T2^8 + 2134*T1^3*T2^8 + 1095*T1^4*T2^8 - 4687*T1^5*T2^8 + 
      15684*T1^6*T2^8 - 12056*T1^7*T2^8 - 2508*T1^8*T2^8 + 15072*T1^9*T2^8 - 
      8850*T1^10*T2^8 + 2091*T1^11*T2^8 + 2447*T1^12*T2^8 - 1846*T1^13*T2^8 - 
      425*T1^14*T2^8 + 276*T1^15*T2^8 + 23*T1^16*T2^8 + 163*T1*T2^9 + 
      696*T1^2*T2^9 - 1210*T1^3*T2^9 - 1667*T1^4*T2^9 + 3284*T1^5*T2^9 - 
      5231*T1^6*T2^9 - 4291*T1^7*T2^9 + 15072*T1^8*T2^9 - 13840*T1^9*T2^9 + 
      858*T1^10*T2^9 + 5409*T1^11*T2^9 - 4415*T1^12*T2^9 + 967*T1^13*T2^9 + 
      1340*T1^14*T2^9 - 404*T1^15*T2^9 - 117*T1^16*T2^9 - 304*T1^2*T2^10 - 
      213*T1^3*T2^10 + 2276*T1^4*T2^10 - 2369*T1^5*T2^10 + 515*T1^6*T2^10 + 
      6119*T1^7*T2^10 - 8850*T1^8*T2^10 + 858*T1^9*T2^10 + 7590*T1^10*T2^10 - 
      6651*T1^11*T2^10 + 505*T1^12*T2^10 + 2231*T1^13*T2^10 - 
      2324*T1^14*T2^10 + 227*T1^15*T2^10 + 296*T1^16*T2^10 + 349*T1^3*T2^11 - 
      705*T1^4*T2^11 - 751*T1^5*T2^11 + 3135*T1^6*T2^11 - 4814*T1^7*T2^11 + 
      2091*T1^8*T2^11 + 5409*T1^9*T2^11 - 6651*T1^10*T2^11 + 
      1211*T1^11*T2^11 + 4481*T1^12*T2^11 - 3725*T1^13*T2^11 + 
      1649*T1^14*T2^11 + 535*T1^15*T2^11 - 511*T1^16*T2^11 - 209*T1^4*T2^12 + 
      1015*T1^5*T2^12 - 1324*T1^6*T2^12 - 7*T1^7*T2^12 + 2447*T1^8*T2^12 - 
      4415*T1^9*T2^12 + 505*T1^10*T2^12 + 4481*T1^11*T2^12 - 
      5941*T1^12*T2^12 + 2229*T1^13*T2^12 + 276*T1^14*T2^12 - 
      1345*T1^15*T2^12 + 607*T1^16*T2^12 + 5*T1^5*T2^13 - 493*T1^6*T2^13 + 
      1490*T1^7*T2^13 - 1846*T1^8*T2^13 + 967*T1^9*T2^13 + 2231*T1^10*T2^13 - 
      3725*T1^11*T2^13 + 2229*T1^12*T2^13 + 1014*T1^13*T2^13 - 
      1960*T1^14*T2^13 + 1587*T1^15*T2^13 - 511*T1^16*T2^13 + 96*T1^6*T2^14 - 
      104*T1^7*T2^14 - 425*T1^8*T2^14 + 1340*T1^9*T2^14 - 2324*T1^10*T2^14 + 
      1649*T1^11*T2^14 + 276*T1^12*T2^14 - 1960*T1^13*T2^14 + 
      1875*T1^14*T2^14 - 1104*T1^15*T2^14 + 296*T1^16*T2^14 - 77*T1^7*T2^15 + 
      276*T1^8*T2^15 - 404*T1^9*T2^15 + 227*T1^10*T2^15 + 535*T1^11*T2^15 - 
      1345*T1^12*T2^15 + 1587*T1^13*T2^15 - 1104*T1^14*T2^15 + 
      516*T1^15*T2^15 - 117*T1^16*T2^15 + 23*T1^8*T2^16 - 117*T1^9*T2^16 + 
      296*T1^10*T2^16 - 511*T1^11*T2^16 + 607*T1^12*T2^16 - 511*T1^13*T2^16 + 
      296*T1^14*T2^16 - 117*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 599] -> 
  {(2 - 10*T + 26*T^2 - 42*T^3 + 49*T^4 - 42*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-15 + 77*T1 - 204*T1^2 + 335*T1^3 - 393*T1^4 + 335*T1^5 - 
     204*T1^6 + 77*T1^7 - 15*T1^8 + 77*T2 - 356*T1*T2 + 844*T1^2*T2 - 
     1179*T1^3*T2 + 1131*T1^4*T2 - 689*T1^5*T2 + 181*T1^6*T2 + 124*T1^7*T2 - 
     116*T1^8*T2 + 37*T1^9*T2 - 204*T2^2 + 844*T1*T2^2 - 1735*T1^2*T2^2 + 
     1840*T1^3*T2^2 - 980*T1^4*T2^2 - 449*T1^5*T2^2 + 1412*T1^6*T2^2 - 
     1488*T1^7*T2^2 + 761*T1^8*T2^2 - 196*T1^9*T2^2 + 4*T1^10*T2^2 + 
     335*T2^3 - 1179*T1*T2^3 + 1840*T1^2*T2^3 - 620*T1^3*T2^3 - 
     1649*T1^4*T2^3 + 3417*T1^5*T2^3 - 3107*T1^6*T2^3 + 1163*T1^7*T2^3 + 
     1108*T1^8*T2^3 - 1592*T1^9*T2^3 + 821*T1^10*T2^3 - 169*T1^11*T2^3 - 
     393*T2^4 + 1131*T1*T2^4 - 980*T1^2*T2^4 - 1649*T1^3*T2^4 + 
     3997*T1^4*T2^4 - 3565*T1^5*T2^4 + 325*T1^6*T2^4 + 3211*T1^7*T2^4 - 
     4459*T1^8*T2^4 + 2047*T1^9*T2^4 + 812*T1^10*T2^4 - 1109*T1^11*T2^4 + 
     391*T1^12*T2^4 + 335*T2^5 - 689*T1*T2^5 - 449*T1^2*T2^5 + 
     3417*T1^3*T2^5 - 3565*T1^4*T2^5 - 1154*T1^5*T2^5 + 6274*T1^6*T2^5 - 
     8258*T1^7*T2^5 + 4852*T1^8*T2^5 + 1223*T1^9*T2^5 - 4059*T1^10*T2^5 + 
     1147*T1^11*T2^5 + 571*T1^12*T2^5 - 505*T1^13*T2^5 - 204*T2^6 + 
     181*T1*T2^6 + 1412*T1^2*T2^6 - 3107*T1^3*T2^6 + 325*T1^4*T2^6 + 
     6274*T1^5*T2^6 - 7053*T1^6*T2^6 + 2985*T1^7*T2^6 + 5279*T1^8*T2^6 - 
     9406*T1^9*T2^6 + 6205*T1^10*T2^6 + 1989*T1^11*T2^6 - 2180*T1^12*T2^6 + 
     421*T1^13*T2^6 + 420*T1^14*T2^6 + 77*T2^7 + 124*T1*T2^7 - 
     1488*T1^2*T2^7 + 1163*T1^3*T2^7 + 3211*T1^4*T2^7 - 8258*T1^5*T2^7 + 
     2985*T1^6*T2^7 + 2284*T1^7*T2^7 - 7346*T1^8*T2^7 + 3205*T1^9*T2^7 + 
     3978*T1^10*T2^7 - 9529*T1^11*T2^7 + 1887*T1^12*T2^7 + 1320*T1^13*T2^7 - 
     1076*T1^14*T2^7 - 203*T1^15*T2^7 - 15*T2^8 - 116*T1*T2^8 + 
     761*T1^2*T2^8 + 1108*T1^3*T2^8 - 4459*T1^4*T2^8 + 4852*T1^5*T2^8 + 
     5279*T1^6*T2^8 - 7346*T1^7*T2^8 + 7308*T1^8*T2^8 + 1350*T1^9*T2^8 - 
     4897*T1^10*T2^8 + 4012*T1^11*T2^8 + 6933*T1^12*T2^8 - 4620*T1^13*T2^8 + 
     1001*T1^14*T2^8 + 764*T1^15*T2^8 + 49*T1^16*T2^8 + 37*T1*T2^9 - 
     196*T1^2*T2^9 - 1592*T1^3*T2^9 + 2047*T1^4*T2^9 + 1223*T1^5*T2^9 - 
     9406*T1^6*T2^9 + 3205*T1^7*T2^9 + 1350*T1^8*T2^9 - 8280*T1^9*T2^9 + 
     3425*T1^10*T2^9 + 2830*T1^11*T2^9 - 11517*T1^12*T2^9 + 2771*T1^13*T2^9 + 
     1216*T1^14*T2^9 - 1396*T1^15*T2^9 - 243*T1^16*T2^9 + 4*T1^2*T2^10 + 
     821*T1^3*T2^10 + 812*T1^4*T2^10 - 4059*T1^5*T2^10 + 6205*T1^6*T2^10 + 
     3978*T1^7*T2^10 - 4897*T1^8*T2^10 + 3425*T1^9*T2^10 + 7435*T1^10*T2^10 - 
     11702*T1^11*T2^10 + 12085*T1^12*T2^10 + 1037*T1^13*T2^10 - 
     2780*T1^14*T2^10 + 1061*T1^15*T2^10 + 628*T1^16*T2^10 - 169*T1^3*T2^11 - 
     1109*T1^4*T2^11 + 1147*T1^5*T2^11 + 1989*T1^6*T2^11 - 9529*T1^7*T2^11 + 
     4012*T1^8*T2^11 + 2830*T1^9*T2^11 - 11702*T1^10*T2^11 + 
     10018*T1^11*T2^11 - 4741*T1^12*T2^11 - 5487*T1^13*T2^11 + 
     2743*T1^14*T2^11 + 151*T1^15*T2^11 - 1009*T1^16*T2^11 + 391*T1^4*T2^12 + 
     571*T1^5*T2^12 - 2180*T1^6*T2^12 + 1887*T1^7*T2^12 + 6933*T1^8*T2^12 - 
     11517*T1^9*T2^12 + 12085*T1^10*T2^12 - 4741*T1^11*T2^12 - 
     1523*T1^12*T2^12 + 5583*T1^13*T2^12 - 388*T1^14*T2^12 - 
     1669*T1^15*T2^12 + 1175*T1^16*T2^12 - 505*T1^5*T2^13 + 421*T1^6*T2^13 + 
     1320*T1^7*T2^13 - 4620*T1^8*T2^13 + 2771*T1^9*T2^13 + 1037*T1^10*T2^13 - 
     5487*T1^11*T2^13 + 5583*T1^12*T2^13 - 2892*T1^13*T2^13 - 
     2112*T1^14*T2^13 + 2421*T1^15*T2^13 - 1009*T1^16*T2^13 + 
     420*T1^6*T2^14 - 1076*T1^7*T2^14 + 1001*T1^8*T2^14 + 1216*T1^9*T2^14 - 
     2780*T1^10*T2^14 + 2743*T1^11*T2^14 - 388*T1^12*T2^14 - 
     2112*T1^13*T2^14 + 3497*T1^14*T2^14 - 2116*T1^15*T2^14 + 
     628*T1^16*T2^14 - 203*T1^7*T2^15 + 764*T1^8*T2^15 - 1396*T1^9*T2^15 + 
     1061*T1^10*T2^15 + 151*T1^11*T2^15 - 1669*T1^12*T2^15 + 
     2421*T1^13*T2^15 - 2116*T1^14*T2^15 + 1004*T1^15*T2^15 - 
     243*T1^16*T2^15 + 49*T1^8*T2^16 - 243*T1^9*T2^16 + 628*T1^10*T2^16 - 
     1009*T1^11*T2^16 + 1175*T1^12*T2^16 - 1009*T1^13*T2^16 + 
     628*T1^14*T2^16 - 243*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 600] -> 
  {-((4 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((-336 + 1256*T1 - 1916*T1^2 + 2080*T1^3 - 1916*T1^4 + 1256*T1^5 - 
      336*T1^6 + 1256*T2 - 3684*T1*T2 + 3376*T1^2*T2 - 1996*T1^3*T2 + 
      884*T1^4*T2 + 1096*T1^5*T2 - 2544*T1^6*T2 + 1016*T1^7*T2 - 1916*T2^2 + 
      3376*T1*T2^2 + 2131*T1^2*T2^2 - 5611*T1^3*T2^2 + 6197*T1^4*T2^2 - 
      7451*T1^5*T2^2 + 5627*T1^6*T2^2 + 616*T1^7*T2^2 - 1180*T1^8*T2^2 + 
      2080*T2^3 - 1996*T1*T2^3 - 5611*T1^2*T2^3 + 5233*T1^3*T2^3 - 
      2533*T1^4*T2^3 + 2627*T1^5*T2^3 + 823*T1^6*T2^3 - 5956*T1^7*T2^3 + 
      1124*T1^8*T2^3 + 880*T1^9*T2^3 - 1916*T2^4 + 884*T1*T2^4 + 
      6197*T1^2*T2^4 - 2533*T1^3*T2^4 + 233*T1^4*T2^4 - 1929*T1^5*T2^4 - 
      275*T1^6*T2^4 + 2517*T1^7*T2^4 + 3411*T1^8*T2^4 - 1636*T1^9*T2^4 - 
      444*T1^10*T2^4 + 1256*T2^5 + 1096*T1*T2^5 - 7451*T1^2*T2^5 + 
      2627*T1^3*T2^5 - 1929*T1^4*T2^5 + 4334*T1^5*T2^5 - 1696*T1^6*T2^5 - 
      664*T1^7*T2^5 - 2753*T1^8*T2^5 - 1126*T1^9*T2^5 + 1456*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2544*T1*T2^6 + 5627*T1^2*T2^6 + 
      823*T1^3*T2^6 - 275*T1^4*T2^6 - 1696*T1^5*T2^6 - 1908*T1^6*T2^6 + 
      3384*T1^7*T2^6 - 465*T1^8*T2^6 + 3253*T1^9*T2^6 - 1433*T1^10*T2^6 - 
      384*T1^11*T2^6 + 48*T1^12*T2^6 + 1016*T1*T2^7 + 616*T1^2*T2^7 - 
      5956*T1^3*T2^7 + 2517*T1^4*T2^7 - 664*T1^5*T2^7 + 3384*T1^6*T2^7 - 
      2646*T1^7*T2^7 + 601*T1^8*T2^7 - 2863*T1^9*T2^7 + 369*T1^10*T2^7 + 
      976*T1^11*T2^7 - 184*T1^12*T2^7 - 1180*T1^2*T2^8 + 1124*T1^3*T2^8 + 
      3411*T1^4*T2^8 - 2753*T1^5*T2^8 - 465*T1^6*T2^8 + 601*T1^7*T2^8 - 
      973*T1^8*T2^8 + 2297*T1^9*T2^8 + 625*T1^10*T2^8 - 1396*T1^11*T2^8 + 
      292*T1^12*T2^8 + 880*T1^3*T2^9 - 1636*T1^4*T2^9 - 1126*T1^5*T2^9 + 
      3253*T1^6*T2^9 - 2863*T1^7*T2^9 + 2297*T1^8*T2^9 - 1157*T1^9*T2^9 - 
      1471*T1^10*T2^9 + 1484*T1^11*T2^9 - 320*T1^12*T2^9 - 444*T1^4*T2^10 + 
      1456*T1^5*T2^10 - 1433*T1^6*T2^10 + 369*T1^7*T2^10 + 625*T1^8*T2^10 - 
      1471*T1^9*T2^10 + 2063*T1^10*T2^10 - 1304*T1^11*T2^10 + 
      292*T1^12*T2^10 + 56*T1^5*T2^11 - 384*T1^6*T2^11 + 976*T1^7*T2^11 - 
      1396*T1^8*T2^11 + 1484*T1^9*T2^11 - 1304*T1^10*T2^11 + 
      756*T1^11*T2^11 - 184*T1^12*T2^11 + 48*T1^6*T2^12 - 184*T1^7*T2^12 + 
      292*T1^8*T2^12 - 320*T1^9*T2^12 + 292*T1^10*T2^12 - 184*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 601] -> {-((8 - 32*T + 47*T^2 - 32*T^3 + 8*T^4)/T^2), 
   (-2*(-864 + 3440*T1 - 5032*T1^2 + 3440*T1^3 - 864*T1^4 + 3440*T2 - 
      11292*T1*T2 + 10448*T1^2*T2 + 336*T1^3*T2 - 6172*T1^4*T2 + 
      2416*T1^5*T2 - 5032*T2^2 + 10448*T1*T2^2 + 6859*T1^2*T2^2 - 
      27821*T1^3*T2^2 + 21523*T1^4*T2^2 - 1584*T1^5*T2^2 - 2024*T1^6*T2^2 + 
      3440*T2^3 + 336*T1*T2^3 - 27821*T1^2*T2^3 + 36582*T1^3*T2^3 - 
      7466*T1^4*T2^3 - 15789*T1^5*T2^3 + 6608*T1^6*T2^3 + 368*T1^7*T2^3 - 
      864*T2^4 - 6172*T1*T2^4 + 21523*T1^2*T2^4 - 7466*T1^3*T2^4 - 
      24720*T1^4*T2^4 + 28374*T1^5*T2^4 - 5229*T1^6*T2^4 - 2076*T1^7*T2^4 + 
      160*T1^8*T2^4 + 2416*T1*T2^5 - 1584*T1^2*T2^5 - 15789*T1^3*T2^5 + 
      28374*T1^4*T2^5 - 15674*T1^5*T2^5 - 3757*T1^6*T2^5 + 4688*T1^7*T2^5 - 
      656*T1^8*T2^5 - 2024*T1^2*T2^6 + 6608*T1^3*T2^6 - 5229*T1^4*T2^6 - 
      3757*T1^5*T2^6 + 9435*T1^6*T2^6 - 5424*T1^7*T2^6 + 984*T1^8*T2^6 + 
      368*T1^3*T2^7 - 2076*T1^4*T2^7 + 4688*T1^5*T2^7 - 5424*T1^6*T2^7 + 
      3044*T1^7*T2^7 - 656*T1^8*T2^7 + 160*T1^4*T2^8 - 656*T1^5*T2^8 + 
      984*T1^6*T2^8 - 656*T1^7*T2^8 + 160*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 602] -> 
  {(2 - 11*T + 28*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 28*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-33 + 180*T1 - 455*T1^2 + 746*T1^3 - 893*T1^4 + 746*T1^5 - 
     455*T1^6 + 180*T1^7 - 33*T1^8 + 180*T2 - 848*T1*T2 + 1749*T1^2*T2 - 
     2210*T1^3*T2 + 1815*T1^4*T2 - 407*T1^5*T2 - 582*T1^6*T2 + 891*T1^7*T2 - 
     562*T1^8*T2 + 136*T1^9*T2 - 455*T2^2 + 1749*T1*T2^2 - 2494*T1^2*T2^2 + 
     1387*T1^3*T2^2 + 1168*T1^4*T2^2 - 4454*T1^5*T2^2 + 4192*T1^6*T2^2 - 
     2533*T1^7*T2^2 + 418*T1^8*T2^2 + 517*T1^9*T2^2 - 231*T1^10*T2^2 + 
     746*T2^3 - 2210*T1*T2^3 + 1387*T1^2*T2^3 + 2160*T1^3*T2^3 - 
     5682*T1^4*T2^3 + 8033*T1^5*T2^3 - 2651*T1^6*T2^3 - 1106*T1^7*T2^3 + 
     3396*T1^8*T2^3 - 2337*T1^9*T2^3 + 210*T1^10*T2^3 + 194*T1^11*T2^3 - 
     893*T2^4 + 1815*T1*T2^4 + 1168*T1^2*T2^4 - 5682*T1^3*T2^4 + 
     7154*T1^4*T2^4 - 6256*T1^5*T2^4 - 4242*T1^6*T2^4 + 5668*T1^7*T2^4 - 
     4946*T1^8*T2^4 + 390*T1^9*T2^4 + 2356*T1^10*T2^4 - 1001*T1^11*T2^4 - 
     13*T1^12*T2^4 + 746*T2^5 - 407*T1*T2^5 - 4454*T1^2*T2^5 + 
     8033*T1^3*T2^5 - 6256*T1^4*T2^5 + 2709*T1^5*T2^5 + 9392*T1^6*T2^5 - 
     4326*T1^7*T2^5 + 311*T1^8*T2^5 + 5332*T1^9*T2^5 - 4883*T1^10*T2^5 + 
     55*T1^11*T2^5 + 1023*T1^12*T2^5 - 174*T1^13*T2^5 - 455*T2^6 - 
     582*T1*T2^6 + 4192*T1^2*T2^6 - 2651*T1^3*T2^6 - 4242*T1^4*T2^6 + 
     9392*T1^5*T2^6 - 17311*T1^6*T2^6 + 2579*T1^7*T2^6 + 3745*T1^8*T2^6 - 
     6592*T1^9*T2^6 + 1214*T1^10*T2^6 + 4685*T1^11*T2^6 - 2504*T1^12*T2^6 - 
     230*T1^13*T2^6 + 217*T1^14*T2^6 + 180*T2^7 + 891*T1*T2^7 - 
     2533*T1^2*T2^7 - 1106*T1^3*T2^7 + 5668*T1^4*T2^7 - 4326*T1^5*T2^7 + 
     2579*T1^6*T2^7 + 14854*T1^7*T2^7 - 12798*T1^8*T2^7 + 4383*T1^9*T2^7 + 
     4860*T1^10*T2^7 - 7264*T1^11*T2^7 + 302*T1^12*T2^7 + 2367*T1^13*T2^7 - 
     495*T1^14*T2^7 - 128*T1^15*T2^7 - 33*T2^8 - 562*T1*T2^8 + 
     418*T1^2*T2^8 + 3396*T1^3*T2^8 - 4946*T1^4*T2^8 + 311*T1^5*T2^8 + 
     3745*T1^6*T2^8 - 12798*T1^7*T2^8 + 1560*T1^8*T2^8 + 10230*T1^9*T2^8 - 
     10667*T1^10*T2^8 + 4545*T1^11*T2^8 + 4674*T1^12*T2^8 - 3780*T1^13*T2^8 - 
     400*T1^14*T2^8 + 538*T1^15*T2^8 + 31*T1^16*T2^8 + 136*T1*T2^9 + 
     517*T1^2*T2^9 - 2337*T1^3*T2^9 + 390*T1^4*T2^9 + 5332*T1^5*T2^9 - 
     6592*T1^6*T2^9 + 4383*T1^7*T2^9 + 10230*T1^8*T2^9 - 17422*T1^9*T2^9 + 
     6187*T1^10*T2^9 + 2594*T1^11*T2^9 - 7600*T1^12*T2^9 + 1798*T1^13*T2^9 + 
     2563*T1^14*T2^9 - 869*T1^15*T2^9 - 172*T1^16*T2^9 - 231*T1^2*T2^10 + 
     210*T1^3*T2^10 + 2356*T1^4*T2^10 - 4883*T1^5*T2^10 + 1214*T1^6*T2^10 + 
     4860*T1^7*T2^10 - 10667*T1^8*T2^10 + 6187*T1^9*T2^10 + 
     10389*T1^10*T2^10 - 11124*T1^11*T2^10 + 6670*T1^12*T2^10 + 
     2453*T1^13*T2^10 - 4340*T1^14*T2^10 + 562*T1^15*T2^10 + 
     441*T1^16*T2^10 + 194*T1^3*T2^11 - 1001*T1^4*T2^11 + 55*T1^5*T2^11 + 
     4685*T1^6*T2^11 - 7264*T1^7*T2^11 + 4545*T1^8*T2^11 + 2594*T1^9*T2^11 - 
     11124*T1^10*T2^11 + 2147*T1^11*T2^11 + 4324*T1^12*T2^11 - 
     8231*T1^13*T2^11 + 4564*T1^14*T2^11 + 429*T1^15*T2^11 - 
     726*T1^16*T2^11 - 13*T1^4*T2^12 + 1023*T1^5*T2^12 - 2504*T1^6*T2^12 + 
     302*T1^7*T2^12 + 4674*T1^8*T2^12 - 7600*T1^9*T2^12 + 6670*T1^10*T2^12 + 
     4324*T1^11*T2^12 - 7426*T1^12*T2^12 + 6374*T1^13*T2^12 - 
     1316*T1^14*T2^12 - 1793*T1^15*T2^12 + 867*T1^16*T2^12 - 174*T1^5*T2^13 - 
     230*T1^6*T2^13 + 2367*T1^7*T2^13 - 3780*T1^8*T2^13 + 1798*T1^9*T2^13 + 
     2453*T1^10*T2^13 - 8231*T1^11*T2^13 + 6374*T1^12*T2^13 - 
     2544*T1^13*T2^13 - 1357*T1^14*T2^13 + 2190*T1^15*T2^13 - 
     726*T1^16*T2^13 + 217*T1^6*T2^14 - 495*T1^7*T2^14 - 400*T1^8*T2^14 + 
     2563*T1^9*T2^14 - 4340*T1^10*T2^14 + 4564*T1^11*T2^14 - 
     1316*T1^12*T2^14 - 1357*T1^13*T2^14 + 2512*T1^14*T2^14 - 
     1727*T1^15*T2^14 + 441*T1^16*T2^14 - 128*T1^7*T2^15 + 538*T1^8*T2^15 - 
     869*T1^9*T2^15 + 562*T1^10*T2^15 + 429*T1^11*T2^15 - 1793*T1^12*T2^15 + 
     2190*T1^13*T2^15 - 1727*T1^14*T2^15 + 824*T1^15*T2^15 - 
     172*T1^16*T2^15 + 31*T1^8*T2^16 - 172*T1^9*T2^16 + 441*T1^10*T2^16 - 
     726*T1^11*T2^16 + 867*T1^12*T2^16 - 726*T1^13*T2^16 + 441*T1^14*T2^16 - 
     172*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 603] -> 
  {(4 - 22*T + 50*T^2 - 63*T^3 + 50*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-256 + 1396*T1 - 3140*T1^2 + 3936*T1^3 - 3140*T1^4 + 1396*T1^5 - 
     256*T1^6 + 1396*T2 - 6586*T1*T2 + 11506*T1^2*T2 - 8786*T1^3*T2 + 
     1158*T1^4*T2 + 5170*T1^5*T2 - 4298*T1^6*T2 + 1044*T1^7*T2 - 3140*T2^2 + 
     11506*T1*T2^2 - 9265*T1^2*T2^2 - 12930*T1^3*T2^2 + 30327*T1^4*T2^2 - 
     29330*T1^5*T2^2 + 9135*T1^6*T2^2 + 2706*T1^7*T2^2 - 1540*T1^8*T2^2 + 
     3936*T2^3 - 8786*T1*T2^3 - 12930*T1^2*T2^3 + 52048*T1^3*T2^3 - 
     51834*T1^4*T2^3 + 18034*T1^5*T2^3 + 23500*T1^6*T2^3 - 22130*T1^7*T2^3 + 
     3446*T1^8*T2^3 + 912*T1^9*T2^3 - 3140*T2^4 + 1158*T1*T2^4 + 
     30327*T1^2*T2^4 - 51834*T1^3*T2^4 + 4997*T1^4*T2^4 + 51239*T1^5*T2^4 - 
     71855*T1^6*T2^4 + 25278*T1^7*T2^4 + 9343*T1^8*T2^4 - 5354*T1^9*T2^4 + 
     60*T1^10*T2^4 + 1396*T2^5 + 5170*T1*T2^5 - 29330*T1^2*T2^5 + 
     18034*T1^3*T2^5 + 51239*T1^4*T2^5 - 81122*T1^5*T2^5 + 48668*T1^6*T2^5 + 
     23539*T1^7*T2^5 - 37346*T1^8*T2^5 + 8670*T1^9*T2^5 + 1650*T1^10*T2^5 - 
     364*T1^11*T2^5 - 256*T2^6 - 4298*T1*T2^6 + 9135*T1^2*T2^6 + 
     23500*T1^3*T2^6 - 71855*T1^4*T2^6 + 48668*T1^5*T2^6 + 19896*T1^6*T2^6 - 
     69388*T1^7*T2^6 + 40977*T1^8*T2^6 + 4252*T1^9*T2^6 - 8657*T1^10*T2^6 + 
     1334*T1^11*T2^6 + 128*T1^12*T2^6 + 1044*T1*T2^7 + 2706*T1^2*T2^7 - 
     22130*T1^3*T2^7 + 25278*T1^4*T2^7 + 23539*T1^5*T2^7 - 69388*T1^6*T2^7 + 
     60402*T1^7*T2^7 - 4161*T1^8*T2^7 - 30102*T1^9*T2^7 + 15870*T1^10*T2^7 - 
     814*T1^11*T2^7 - 716*T1^12*T2^7 - 1540*T1^2*T2^8 + 3446*T1^3*T2^8 + 
     9343*T1^4*T2^8 - 37346*T1^5*T2^8 + 40977*T1^6*T2^8 - 4161*T1^7*T2^8 - 
     35875*T1^8*T2^8 + 39766*T1^9*T2^8 - 11641*T1^10*T2^8 - 3066*T1^11*T2^8 + 
     1660*T1^12*T2^8 + 912*T1^3*T2^9 - 5354*T1^4*T2^9 + 8670*T1^5*T2^9 + 
     4252*T1^6*T2^9 - 30102*T1^7*T2^9 + 39766*T1^8*T2^9 - 24296*T1^9*T2^9 - 
     530*T1^10*T2^9 + 6878*T1^11*T2^9 - 2112*T1^12*T2^9 + 60*T1^4*T2^10 + 
     1650*T1^5*T2^10 - 8657*T1^6*T2^10 + 15870*T1^7*T2^10 - 
     11641*T1^8*T2^10 - 530*T1^9*T2^10 + 9743*T1^10*T2^10 - 
     7150*T1^11*T2^10 + 1660*T1^12*T2^10 - 364*T1^5*T2^11 + 1334*T1^6*T2^11 - 
     814*T1^7*T2^11 - 3066*T1^8*T2^11 + 6878*T1^9*T2^11 - 7150*T1^10*T2^11 + 
     3622*T1^11*T2^11 - 716*T1^12*T2^11 + 128*T1^6*T2^12 - 716*T1^7*T2^12 + 
     1660*T1^8*T2^12 - 2112*T1^9*T2^12 + 1660*T1^10*T2^12 - 716*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 604] -> 
  {(3 - 20*T + 53*T^2 - 71*T^3 + 53*T^4 - 20*T^5 + 3*T^6)/T^3, 
   (-111 + 739*T1 - 1957*T1^2 + 2619*T1^3 - 1957*T1^4 + 739*T1^5 - 111*T1^6 + 
     739*T2 - 4360*T1*T2 + 9307*T1^2*T2 - 7588*T1^3*T2 - 148*T1^4*T2 + 
     4927*T1^5*T2 - 2980*T1^6*T2 + 559*T1^7*T2 - 1957*T2^2 + 9307*T1*T2^2 - 
     10809*T1^2*T2^2 - 12453*T1^3*T2^2 + 35223*T1^4*T2^2 - 28671*T1^5*T2^2 + 
     5091*T1^6*T2^2 + 2947*T1^7*T2^2 - 1003*T1^8*T2^2 + 2619*T2^3 - 
     7588*T1*T2^3 - 12453*T1^2*T2^3 + 67375*T1^3*T2^3 - 73007*T1^4*T2^3 + 
     11786*T1^5*T2^3 + 37281*T1^6*T2^3 - 21940*T1^7*T2^3 + 2012*T1^8*T2^3 + 
     702*T1^9*T2^3 - 1957*T2^4 - 148*T1*T2^4 + 35223*T1^2*T2^4 - 
     73007*T1^3*T2^4 - 1825*T1^4*T2^4 + 112487*T1^5*T2^4 - 114865*T1^6*T2^4 + 
     23837*T1^7*T2^4 + 12131*T1^8*T2^4 - 4348*T1^9*T2^4 - 49*T1^10*T2^4 + 
     739*T2^5 + 4927*T1*T2^5 - 28671*T1^2*T2^5 + 11786*T1^3*T2^5 + 
     112487*T1^4*T2^5 - 172385*T1^5*T2^5 + 68987*T1^6*T2^5 + 
     57208*T1^7*T2^5 - 48905*T1^8*T2^5 + 7740*T1^9*T2^5 + 1387*T1^10*T2^5 - 
     161*T1^11*T2^5 - 111*T2^6 - 2980*T1*T2^6 + 5091*T1^2*T2^6 + 
     37281*T1^3*T2^6 - 114865*T1^4*T2^6 + 68987*T1^5*T2^6 + 78576*T1^6*T2^6 - 
     138611*T1^7*T2^6 + 55297*T1^8*T2^6 + 5887*T1^9*T2^6 - 7193*T1^10*T2^6 + 
     740*T1^11*T2^6 + 51*T1^12*T2^6 + 559*T1*T2^7 + 2947*T1^2*T2^7 - 
     21940*T1^3*T2^7 + 23837*T1^4*T2^7 + 57208*T1^5*T2^7 - 138611*T1^6*T2^7 + 
     102761*T1^7*T2^7 + 1929*T1^8*T2^7 - 36854*T1^9*T2^7 + 14471*T1^10*T2^7 - 
     593*T1^11*T2^7 - 341*T1^12*T2^7 - 1003*T1^2*T2^8 + 2012*T1^3*T2^8 + 
     12131*T1^4*T2^8 - 48905*T1^5*T2^8 + 55297*T1^6*T2^8 + 1929*T1^7*T2^8 - 
     57743*T1^8*T2^8 + 47939*T1^9*T2^8 - 10961*T1^10*T2^8 - 2188*T1^11*T2^8 + 
     905*T1^12*T2^8 + 702*T1^3*T2^9 - 4348*T1^4*T2^9 + 7740*T1^5*T2^9 + 
     5887*T1^6*T2^9 - 36854*T1^7*T2^9 + 47939*T1^8*T2^9 - 24207*T1^9*T2^9 - 
     1747*T1^10*T2^9 + 5252*T1^11*T2^9 - 1215*T1^12*T2^9 - 49*T1^4*T2^10 + 
     1387*T1^5*T2^10 - 7193*T1^6*T2^10 + 14471*T1^7*T2^10 - 
     10961*T1^8*T2^10 - 1747*T1^9*T2^10 + 8707*T1^10*T2^10 - 
     4973*T1^11*T2^10 + 905*T1^12*T2^10 - 161*T1^5*T2^11 + 740*T1^6*T2^11 - 
     593*T1^7*T2^11 - 2188*T1^8*T2^11 + 5252*T1^9*T2^11 - 4973*T1^10*T2^11 + 
     2120*T1^11*T2^11 - 341*T1^12*T2^11 + 51*T1^6*T2^12 - 341*T1^7*T2^12 + 
     905*T1^8*T2^12 - 1215*T1^9*T2^12 + 905*T1^10*T2^12 - 341*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 605] -> 
  {-((2 - 9*T + 20*T^2 - 30*T^3 + 33*T^4 - 30*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-25 + 112*T1 - 249*T1^2 + 374*T1^3 - 411*T1^4 + 374*T1^5 - 
      249*T1^6 + 112*T1^7 - 25*T1^8 + 112*T2 - 426*T1*T2 + 776*T1^2*T2 - 
      920*T1^3*T2 + 706*T1^4*T2 - 428*T1^5*T2 - 20*T1^6*T2 + 254*T1^7*T2 - 
      228*T1^8*T2 + 76*T1^9*T2 - 249*T2^2 + 776*T1*T2^2 - 1060*T1^2*T2^2 + 
      791*T1^3*T2^2 + 5*T1^4*T2^2 - 402*T1^5*T2^2 + 1045*T1^6*T2^2 - 
      889*T1^7*T2^2 + 380*T1^8*T2^2 + 56*T1^9*T2^2 - 89*T1^10*T2^2 + 
      374*T2^3 - 920*T1*T2^3 + 791*T1^2*T2^3 - 4*T1^3*T2^3 - 1061*T1^4*T2^3 + 
      916*T1^5*T2^3 - 1424*T1^6*T2^3 + 379*T1^7*T2^3 + 536*T1^8*T2^3 - 
      829*T1^9*T2^3 + 340*T1^10*T2^3 + 14*T1^11*T2^3 - 411*T2^4 + 
      706*T1*T2^4 + 5*T1^2*T2^4 - 1061*T1^3*T2^4 + 1870*T1^4*T2^4 - 
      832*T1^5*T2^4 + 1250*T1^6*T2^4 + 644*T1^7*T2^4 - 1286*T1^8*T2^4 + 
      739*T1^9*T2^4 + 425*T1^10*T2^4 - 590*T1^11*T2^4 + 117*T1^12*T2^4 + 
      374*T2^5 - 428*T1*T2^5 - 402*T1^2*T2^5 + 916*T1^3*T2^5 - 
      832*T1^4*T2^5 - 909*T1^5*T2^5 + 51*T1^6*T2^5 - 1899*T1^7*T2^5 + 
      1269*T1^8*T2^5 + 380*T1^9*T2^5 - 1304*T1^10*T2^5 + 417*T1^11*T2^5 + 
      490*T1^12*T2^5 - 226*T1^13*T2^5 - 249*T2^6 - 20*T1*T2^6 + 
      1045*T1^2*T2^6 - 1424*T1^3*T2^6 + 1250*T1^4*T2^6 + 51*T1^5*T2^6 + 
      1341*T1^6*T2^6 + 675*T1^7*T2^6 + 141*T1^8*T2^6 - 1389*T1^9*T2^6 + 
      530*T1^10*T2^6 + 1096*T1^11*T2^6 - 1235*T1^12*T2^6 - 20*T1^13*T2^6 + 
      231*T1^14*T2^6 + 112*T2^7 + 254*T1*T2^7 - 889*T1^2*T2^7 + 
      379*T1^3*T2^7 + 644*T1^4*T2^7 - 1899*T1^5*T2^7 + 675*T1^6*T2^7 - 
      2224*T1^7*T2^7 + 692*T1^8*T2^7 + 855*T1^9*T2^7 + 1071*T1^10*T2^7 - 
      1624*T1^11*T2^7 + 379*T1^12*T2^7 + 1091*T1^13*T2^7 - 412*T1^14*T2^7 - 
      140*T1^15*T2^7 - 25*T2^8 - 228*T1*T2^8 + 380*T1^2*T2^8 + 
      536*T1^3*T2^8 - 1286*T1^4*T2^8 + 1269*T1^5*T2^8 + 141*T1^6*T2^8 + 
      692*T1^7*T2^8 + 288*T1^8*T2^8 - 1048*T1^9*T2^8 - 1999*T1^10*T2^8 + 
      747*T1^11*T2^8 + 990*T1^12*T2^8 - 1504*T1^13*T2^8 - 154*T1^14*T2^8 + 
      456*T1^15*T2^8 + 39*T1^16*T2^8 + 76*T1*T2^9 + 56*T1^2*T2^9 - 
      829*T1^3*T2^9 + 739*T1^4*T2^9 + 380*T1^5*T2^9 - 1389*T1^6*T2^9 + 
      855*T1^7*T2^9 - 1048*T1^8*T2^9 + 1868*T1^9*T2^9 + 1035*T1^10*T2^9 + 
      1581*T1^11*T2^9 - 1888*T1^12*T2^9 + 739*T1^13*T2^9 + 1151*T1^14*T2^9 - 
      610*T1^15*T2^9 - 176*T1^16*T2^9 - 89*T1^2*T2^10 + 340*T1^3*T2^10 + 
      425*T1^4*T2^10 - 1304*T1^5*T2^10 + 530*T1^6*T2^10 + 1071*T1^7*T2^10 - 
      1999*T1^8*T2^10 + 1035*T1^9*T2^10 - 3199*T1^10*T2^10 - 
      369*T1^11*T2^10 - 190*T1^12*T2^10 + 1216*T1^13*T2^10 - 
      1855*T1^14*T2^10 + 340*T1^15*T2^10 + 391*T1^16*T2^10 + 14*T1^3*T2^11 - 
      590*T1^4*T2^11 + 417*T1^5*T2^11 + 1096*T1^6*T2^11 - 1624*T1^7*T2^11 + 
      747*T1^8*T2^11 + 1581*T1^9*T2^11 - 369*T1^10*T2^11 + 2925*T1^11*T2^11 - 
      412*T1^12*T2^11 - 1124*T1^13*T2^11 + 1236*T1^14*T2^11 + 
      328*T1^15*T2^11 - 586*T1^16*T2^11 + 117*T1^4*T2^12 + 490*T1^5*T2^12 - 
      1235*T1^6*T2^12 + 379*T1^7*T2^12 + 990*T1^8*T2^12 - 1888*T1^9*T2^12 - 
      190*T1^10*T2^12 - 412*T1^11*T2^12 - 2166*T1^12*T2^12 + 
      2179*T1^13*T2^12 - 815*T1^14*T2^12 - 806*T1^15*T2^12 + 
      645*T1^16*T2^12 - 226*T1^5*T2^13 - 20*T1^6*T2^13 + 1091*T1^7*T2^13 - 
      1504*T1^8*T2^13 + 739*T1^9*T2^13 + 1216*T1^10*T2^13 - 
      1124*T1^11*T2^13 + 2179*T1^12*T2^13 - 964*T1^13*T2^13 - 
      529*T1^14*T2^13 + 1240*T1^15*T2^13 - 586*T1^16*T2^13 + 231*T1^6*T2^14 - 
      412*T1^7*T2^14 - 154*T1^8*T2^14 + 1151*T1^9*T2^14 - 1855*T1^10*T2^14 + 
      1236*T1^11*T2^14 - 815*T1^12*T2^14 - 529*T1^13*T2^14 + 
      1286*T1^14*T2^14 - 1132*T1^15*T2^14 + 391*T1^16*T2^14 - 
      140*T1^7*T2^15 + 456*T1^8*T2^15 - 610*T1^9*T2^15 + 340*T1^10*T2^15 + 
      328*T1^11*T2^15 - 806*T1^12*T2^15 + 1240*T1^13*T2^15 - 
      1132*T1^14*T2^15 + 654*T1^15*T2^15 - 176*T1^16*T2^15 + 39*T1^8*T2^16 - 
      176*T1^9*T2^16 + 391*T1^10*T2^16 - 586*T1^11*T2^16 + 645*T1^12*T2^16 - 
      586*T1^13*T2^16 + 391*T1^14*T2^16 - 176*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 606] -> 
  {-(((-2 + 4*T - 5*T^2 + 2*T^3)*(-2 + 5*T - 4*T^2 + 2*T^3))/T^3), 
   -((-192 + 860*T1 - 1820*T1^2 + 2352*T1^3 - 1820*T1^4 + 860*T1^5 - 
      192*T1^6 + 860*T2 - 3282*T1*T2 + 5598*T1^2*T2 - 5118*T1^3*T2 + 
      1146*T1^4*T2 + 1566*T1^5*T2 - 1698*T1^6*T2 + 572*T1^7*T2 - 1820*T2^2 + 
      5598*T1*T2^2 - 6463*T1^2*T2^2 + 904*T1^3*T2^2 + 8149*T1^4*T2^2 - 
      8520*T1^5*T2^2 + 3873*T1^6*T2^2 + 126*T1^7*T2^2 - 604*T1^8*T2^2 + 
      2352*T2^3 - 5118*T1*T2^3 + 904*T1^2*T2^3 + 10162*T1^3*T2^3 - 
      18446*T1^4*T2^3 + 8134*T1^5*T2^3 + 3022*T1^6*T2^3 - 6392*T1^7*T2^3 + 
      2730*T1^8*T2^3 - 1820*T2^4 + 1146*T1*T2^4 + 8149*T1^2*T2^4 - 
      18446*T1^3*T2^4 + 15743*T1^4*T2^4 + 8037*T1^5*T2^4 - 18269*T1^6*T2^4 + 
      11738*T1^7*T2^4 - 499*T1^8*T2^4 - 2742*T1^9*T2^4 + 612*T1^10*T2^4 + 
      860*T2^5 + 1566*T1*T2^5 - 8520*T1^2*T2^5 + 8134*T1^3*T2^5 + 
      8037*T1^4*T2^5 - 31088*T1^5*T2^5 + 23914*T1^6*T2^5 - 1159*T1^7*T2^5 - 
      11238*T1^8*T2^5 + 7288*T1^9*T2^5 - 162*T1^10*T2^5 - 580*T1^11*T2^5 - 
      192*T2^6 - 1698*T1*T2^6 + 3873*T1^2*T2^6 + 3022*T1^3*T2^6 - 
      18269*T1^4*T2^6 + 23914*T1^5*T2^6 - 288*T1^6*T2^6 - 23278*T1^7*T2^6 + 
      20067*T1^8*T2^6 - 4418*T1^9*T2^6 - 4255*T1^10*T2^6 + 1758*T1^11*T2^6 + 
      192*T1^12*T2^6 + 572*T1*T2^7 + 126*T1^2*T2^7 - 6392*T1^3*T2^7 + 
      11738*T1^4*T2^7 - 1159*T1^5*T2^7 - 23278*T1^6*T2^7 + 31724*T1^7*T2^7 - 
      10355*T1^8*T2^7 - 7634*T1^9*T2^7 + 9416*T1^10*T2^7 - 1602*T1^11*T2^7 - 
      868*T1^12*T2^7 - 604*T1^2*T2^8 + 2730*T1^3*T2^8 - 499*T1^4*T2^8 - 
      11238*T1^5*T2^8 + 20067*T1^6*T2^8 - 10355*T1^7*T2^8 - 13945*T1^8*T2^8 + 
      18946*T1^9*T2^8 - 9147*T1^10*T2^8 - 1158*T1^11*T2^8 + 1828*T1^12*T2^8 - 
      2742*T1^4*T2^9 + 7288*T1^5*T2^9 - 4418*T1^6*T2^9 - 7634*T1^7*T2^9 + 
      18946*T1^8*T2^9 - 11558*T1^9*T2^9 - 8*T1^10*T2^9 + 5106*T1^11*T2^9 - 
      2352*T1^12*T2^9 + 612*T1^4*T2^10 - 162*T1^5*T2^10 - 4255*T1^6*T2^10 + 
      9416*T1^7*T2^10 - 9147*T1^8*T2^10 - 8*T1^9*T2^10 + 6081*T1^10*T2^10 - 
      5634*T1^11*T2^10 + 1828*T1^12*T2^10 - 580*T1^5*T2^11 + 
      1758*T1^6*T2^11 - 1602*T1^7*T2^11 - 1158*T1^8*T2^11 + 5106*T1^9*T2^11 - 
      5634*T1^10*T2^11 + 3342*T1^11*T2^11 - 868*T1^12*T2^11 + 
      192*T1^6*T2^12 - 868*T1^7*T2^12 + 1828*T1^8*T2^12 - 2352*T1^9*T2^12 + 
      1828*T1^10*T2^12 - 868*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 607] -> 
  {(2 - 9*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 69*T1 - 170*T1^2 + 264*T1^3 - 303*T1^4 + 264*T1^5 - 
     170*T1^6 + 69*T1^7 - 15*T1^8 + 69*T2 - 284*T1*T2 + 627*T1^2*T2 - 
     829*T1^3*T2 + 792*T1^4*T2 - 522*T1^5*T2 + 179*T1^6*T2 + 69*T1^7*T2 - 
     86*T1^8*T2 + 33*T1^9*T2 - 170*T2^2 + 627*T1*T2^2 - 1211*T1^2*T2^2 + 
     1246*T1^3*T2^2 - 761*T1^4*T2^2 - 55*T1^5*T2^2 + 735*T1^6*T2^2 - 
     954*T1^7*T2^2 + 549*T1^8*T2^2 - 165*T1^9*T2^2 + 6*T1^10*T2^2 + 
     264*T2^3 - 829*T1*T2^3 + 1246*T1^2*T2^3 - 550*T1^3*T2^3 - 
     571*T1^4*T2^3 + 1479*T1^5*T2^3 - 1551*T1^6*T2^3 + 725*T1^7*T2^3 + 
     656*T1^8*T2^3 - 1064*T1^9*T2^3 + 611*T1^10*T2^3 - 144*T1^11*T2^3 - 
     303*T2^4 + 792*T1*T2^4 - 761*T1^2*T2^4 - 571*T1^3*T2^4 + 
     1585*T1^4*T2^4 - 1448*T1^5*T2^4 + 357*T1^6*T2^4 + 1156*T1^7*T2^4 - 
     2171*T1^8*T2^4 + 1061*T1^9*T2^4 + 595*T1^10*T2^4 - 792*T1^11*T2^4 + 
     321*T1^12*T2^4 + 264*T2^5 - 522*T1*T2^5 - 55*T1^2*T2^5 + 
     1479*T1^3*T2^5 - 1448*T1^4*T2^5 - 559*T1^5*T2^5 + 2451*T1^6*T2^5 - 
     3725*T1^7*T2^5 + 3025*T1^8*T2^5 + 12*T1^9*T2^5 - 1899*T1^10*T2^5 + 
     446*T1^11*T2^5 + 432*T1^12*T2^5 - 416*T1^13*T2^5 - 170*T2^6 + 
     179*T1*T2^6 + 735*T1^2*T2^6 - 1551*T1^3*T2^6 + 357*T1^4*T2^6 + 
     2451*T1^5*T2^6 - 2693*T1^6*T2^6 + 1935*T1^7*T2^6 + 1159*T1^8*T2^6 - 
     4137*T1^9*T2^6 + 3357*T1^10*T2^6 + 957*T1^11*T2^6 - 1041*T1^12*T2^6 + 
     251*T1^13*T2^6 + 358*T1^14*T2^6 + 69*T2^7 + 69*T1*T2^7 - 954*T1^2*T2^7 + 
     725*T1^3*T2^7 + 1156*T1^4*T2^7 - 3725*T1^5*T2^7 + 1935*T1^6*T2^7 - 
     1054*T1^7*T2^7 - 1492*T1^8*T2^7 + 1347*T1^9*T2^7 + 1627*T1^10*T2^7 - 
     4880*T1^11*T2^7 + 773*T1^12*T2^7 + 696*T1^13*T2^7 - 777*T1^14*T2^7 - 
     183*T1^15*T2^7 - 15*T2^8 - 86*T1*T2^8 + 549*T1^2*T2^8 + 656*T1^3*T2^8 - 
     2171*T1^4*T2^8 + 3025*T1^5*T2^8 + 1159*T1^6*T2^8 - 1492*T1^7*T2^8 + 
     3264*T1^8*T2^8 - 1156*T1^9*T2^8 - 829*T1^10*T2^8 + 1307*T1^11*T2^8 + 
     4337*T1^12*T2^8 - 2540*T1^13*T2^8 + 751*T1^14*T2^8 + 598*T1^15*T2^8 + 
     49*T1^16*T2^8 + 33*T1*T2^9 - 165*T1^2*T2^9 - 1064*T1^3*T2^9 + 
     1061*T1^4*T2^9 + 12*T1^5*T2^9 - 4137*T1^6*T2^9 + 1347*T1^7*T2^9 - 
     1156*T1^8*T2^9 - 1594*T1^9*T2^9 + 759*T1^10*T2^9 + 1215*T1^11*T2^9 - 
     6024*T1^12*T2^9 + 1109*T1^13*T2^9 + 586*T1^14*T2^9 - 1011*T1^15*T2^9 - 
     219*T1^16*T2^9 + 6*T1^2*T2^10 + 611*T1^3*T2^10 + 595*T1^4*T2^10 - 
     1899*T1^5*T2^10 + 3357*T1^6*T2^10 + 1627*T1^7*T2^10 - 829*T1^8*T2^10 + 
     759*T1^9*T2^10 + 3023*T1^10*T2^10 - 4961*T1^11*T2^10 + 
     6357*T1^12*T2^10 + 609*T1^13*T2^10 - 1181*T1^14*T2^10 + 
     683*T1^15*T2^10 + 534*T1^16*T2^10 - 144*T1^3*T2^11 - 792*T1^4*T2^11 + 
     446*T1^5*T2^11 + 957*T1^6*T2^11 - 4880*T1^7*T2^11 + 1307*T1^8*T2^11 + 
     1215*T1^9*T2^11 - 4961*T1^10*T2^11 + 4891*T1^11*T2^11 - 
     3420*T1^12*T2^11 - 2421*T1^13*T2^11 + 947*T1^14*T2^11 + 
     162*T1^15*T2^11 - 824*T1^16*T2^11 + 321*T1^4*T2^12 + 432*T1^5*T2^12 - 
     1041*T1^6*T2^12 + 773*T1^7*T2^12 + 4337*T1^8*T2^12 - 6024*T1^9*T2^12 + 
     6357*T1^10*T2^12 - 3420*T1^11*T2^12 + 581*T1^12*T2^12 + 
     2405*T1^13*T2^12 + 315*T1^14*T2^12 - 1152*T1^15*T2^12 + 
     945*T1^16*T2^12 - 416*T1^5*T2^13 + 251*T1^6*T2^13 + 696*T1^7*T2^13 - 
     2540*T1^8*T2^13 + 1109*T1^9*T2^13 + 609*T1^10*T2^13 - 2421*T1^11*T2^13 + 
     2405*T1^12*T2^13 - 1334*T1^13*T2^13 - 1614*T1^14*T2^13 + 
     1691*T1^15*T2^13 - 824*T1^16*T2^13 + 358*T1^6*T2^14 - 777*T1^7*T2^14 + 
     751*T1^8*T2^14 + 586*T1^9*T2^14 - 1181*T1^10*T2^14 + 947*T1^11*T2^14 + 
     315*T1^12*T2^14 - 1614*T1^13*T2^14 + 2511*T1^14*T2^14 - 
     1569*T1^15*T2^14 + 534*T1^16*T2^14 - 183*T1^7*T2^15 + 598*T1^8*T2^15 - 
     1011*T1^9*T2^15 + 683*T1^10*T2^15 + 162*T1^11*T2^15 - 1152*T1^12*T2^15 + 
     1691*T1^13*T2^15 - 1569*T1^14*T2^15 + 796*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 534*T1^10*T2^16 - 
     824*T1^11*T2^16 + 945*T1^12*T2^16 - 824*T1^13*T2^16 + 534*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 608] -> 
  {(4 - 19*T + 44*T^2 - 57*T^3 + 44*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (-112 + 544*T1 - 1268*T1^2 + 1648*T1^3 - 1268*T1^4 + 544*T1^5 - 112*T1^6 + 
     544*T2 - 2396*T1*T2 + 4950*T1^2*T2 - 5182*T1^3*T2 + 2494*T1^4*T2 + 
     162*T1^5*T2 - 648*T1^6*T2 + 240*T1^7*T2 - 1268*T2^2 + 4950*T1*T2^2 - 
     8276*T1^2*T2^2 + 4289*T1^3*T2^2 + 4744*T1^4*T2^2 - 9087*T1^5*T2^2 + 
     5804*T1^6*T2^2 - 1738*T1^7*T2^2 + 140*T1^8*T2^2 + 1648*T2^3 - 
     5182*T1*T2^3 + 4289*T1^2*T2^3 + 8892*T1^3*T2^3 - 22704*T1^4*T2^3 + 
     18640*T1^5*T2^3 - 2052*T1^6*T2^3 - 6579*T1^7*T2^3 + 4470*T1^8*T2^3 - 
     1088*T1^9*T2^3 - 1268*T2^4 + 2494*T1*T2^4 + 4744*T1^2*T2^4 - 
     22704*T1^3*T2^4 + 28841*T1^4*T2^4 - 3133*T1^5*T2^4 - 25307*T1^6*T2^4 + 
     23808*T1^7*T2^4 - 5434*T1^8*T2^4 - 2218*T1^9*T2^4 + 1548*T1^10*T2^4 + 
     544*T2^5 + 162*T1*T2^5 - 9087*T1^2*T2^5 + 18640*T1^3*T2^5 - 
     3133*T1^4*T2^5 - 43734*T1^5*T2^5 + 60310*T1^6*T2^5 - 24869*T1^7*T2^5 - 
     12368*T1^8*T2^5 + 11813*T1^9*T2^5 - 2650*T1^10*T2^5 - 976*T1^11*T2^5 - 
     112*T2^6 - 648*T1*T2^6 + 5804*T1^2*T2^6 - 2052*T1^3*T2^6 - 
     25307*T1^4*T2^6 + 60310*T1^5*T2^6 - 32676*T1^6*T2^6 - 30890*T1^7*T2^6 + 
     51489*T1^8*T2^6 - 17556*T1^9*T2^6 - 1920*T1^10*T2^6 + 3304*T1^11*T2^6 + 
     272*T1^12*T2^6 + 240*T1*T2^7 - 1738*T1^2*T2^7 - 6579*T1^3*T2^7 + 
     23808*T1^4*T2^7 - 24869*T1^5*T2^7 - 30890*T1^6*T2^7 + 73154*T1^7*T2^7 - 
     46605*T1^8*T2^7 - 7200*T1^9*T2^7 + 14321*T1^10*T2^7 - 4550*T1^11*T2^7 - 
     1280*T1^12*T2^7 + 140*T1^2*T2^8 + 4470*T1^3*T2^8 - 5434*T1^4*T2^8 - 
     12368*T1^5*T2^8 + 51489*T1^6*T2^8 - 46605*T1^7*T2^8 - 2659*T1^8*T2^8 + 
     34144*T1^9*T2^8 - 15612*T1^10*T2^8 - 242*T1^11*T2^8 + 2956*T1^12*T2^8 - 
     1088*T1^3*T2^9 - 2218*T1^4*T2^9 + 11813*T1^5*T2^9 - 17556*T1^6*T2^9 - 
     7200*T1^7*T2^9 + 34144*T1^8*T2^9 - 28500*T1^9*T2^9 + 945*T1^10*T2^9 + 
     7434*T1^11*T2^9 - 3824*T1^12*T2^9 + 1548*T1^4*T2^10 - 2650*T1^5*T2^10 - 
     1920*T1^6*T2^10 + 14321*T1^7*T2^10 - 15612*T1^8*T2^10 + 945*T1^9*T2^10 + 
     12160*T1^10*T2^10 - 9338*T1^11*T2^10 + 2956*T1^12*T2^10 - 
     976*T1^5*T2^11 + 3304*T1^6*T2^11 - 4550*T1^7*T2^11 - 242*T1^8*T2^11 + 
     7434*T1^9*T2^11 - 9338*T1^10*T2^11 + 5052*T1^11*T2^11 - 
     1280*T1^12*T2^11 + 272*T1^6*T2^12 - 1280*T1^7*T2^12 + 2956*T1^8*T2^12 - 
     3824*T1^9*T2^12 + 2956*T1^10*T2^12 - 1280*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 609] -> 
  {(5 - 23*T + 51*T^2 - 65*T^3 + 51*T^4 - 23*T^5 + 5*T^6)/T^3, 
   (-230 + 1070*T1 - 2383*T1^2 + 3048*T1^3 - 2383*T1^4 + 1070*T1^5 - 
     230*T1^6 + 1070*T2 - 4469*T1*T2 + 8722*T1^2*T2 - 8936*T1^3*T2 + 
     4404*T1^4*T2 + 212*T1^5*T2 - 1249*T1^6*T2 + 495*T1^7*T2 - 2383*T2^2 + 
     8722*T1*T2^2 - 13521*T1^2*T2^2 + 6512*T1^3*T2^2 + 7839*T1^4*T2^2 - 
     14908*T1^5*T2^2 + 9939*T1^6*T2^2 - 3008*T1^7*T2^2 + 167*T1^8*T2^2 + 
     3048*T2^3 - 8936*T1*T2^3 + 6512*T1^2*T2^3 + 14592*T1^3*T2^3 - 
     35085*T1^4*T2^3 + 28833*T1^5*T2^3 - 3960*T1^6*T2^3 - 10369*T1^7*T2^3 + 
     7624*T1^8*T2^3 - 1827*T1^9*T2^3 - 2383*T2^4 + 4404*T1*T2^4 + 
     7839*T1^2*T2^4 - 35085*T1^3*T2^4 + 41695*T1^4*T2^4 - 3333*T1^5*T2^4 - 
     36965*T1^6*T2^4 + 36155*T1^7*T2^4 - 8911*T1^8*T2^4 - 4106*T1^9*T2^4 + 
     2717*T1^10*T2^4 + 1070*T2^5 + 212*T1*T2^5 - 14908*T1^2*T2^5 + 
     28833*T1^3*T2^5 - 3333*T1^4*T2^5 - 60853*T1^5*T2^5 + 79381*T1^6*T2^5 - 
     31638*T1^7*T2^5 - 20441*T1^8*T2^5 + 20129*T1^9*T2^5 - 4158*T1^10*T2^5 - 
     1805*T1^11*T2^5 - 230*T2^6 - 1249*T1*T2^6 + 9939*T1^2*T2^6 - 
     3960*T1^3*T2^6 - 36965*T1^4*T2^6 + 79381*T1^5*T2^6 - 36228*T1^6*T2^6 - 
     45217*T1^7*T2^6 + 72437*T1^8*T2^6 - 25440*T1^9*T2^6 - 5069*T1^10*T2^6 + 
     5881*T1^11*T2^6 + 520*T1^12*T2^6 + 495*T1*T2^7 - 3008*T1^2*T2^7 - 
     10369*T1^3*T2^7 + 36155*T1^4*T2^7 - 31638*T1^5*T2^7 - 45217*T1^6*T2^7 + 
     95017*T1^7*T2^7 - 59943*T1^8*T2^7 - 13119*T1^9*T2^7 + 24668*T1^10*T2^7 - 
     7378*T1^11*T2^7 - 2380*T1^12*T2^7 + 167*T1^2*T2^8 + 7624*T1^3*T2^8 - 
     8911*T1^4*T2^8 - 20441*T1^5*T2^8 + 72437*T1^6*T2^8 - 59943*T1^7*T2^8 - 
     6223*T1^8*T2^8 + 50799*T1^9*T2^8 - 25661*T1^10*T2^8 - 886*T1^11*T2^8 + 
     5267*T1^12*T2^8 - 1827*T1^3*T2^9 - 4106*T1^4*T2^9 + 20129*T1^5*T2^9 - 
     25440*T1^6*T2^9 - 13119*T1^7*T2^9 + 50799*T1^8*T2^9 - 43992*T1^9*T2^9 + 
     3248*T1^10*T2^9 + 12454*T1^11*T2^9 - 6702*T1^12*T2^9 + 2717*T1^4*T2^10 - 
     4158*T1^5*T2^10 - 5069*T1^6*T2^10 + 24668*T1^7*T2^10 - 
     25661*T1^8*T2^10 + 3248*T1^9*T2^10 + 18391*T1^10*T2^10 - 
     15888*T1^11*T2^10 + 5267*T1^12*T2^10 - 1805*T1^5*T2^11 + 
     5881*T1^6*T2^11 - 7378*T1^7*T2^11 - 886*T1^8*T2^11 + 12454*T1^9*T2^11 - 
     15888*T1^10*T2^11 + 9101*T1^11*T2^11 - 2380*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2380*T1^7*T2^12 + 5267*T1^8*T2^12 - 6702*T1^9*T2^12 + 
     5267*T1^10*T2^12 - 2380*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 610] -> 
  {(11 - 34*T + 47*T^2 - 34*T^3 + 11*T^4)/T^2, 
   -((5973 - 18244*T1 + 25141*T1^2 - 18244*T1^3 + 5973*T1^4 - 18244*T2 + 
      41724*T1*T2 - 33890*T1^2*T2 - 3596*T1^3*T2 + 24894*T1^4*T2 - 
      14130*T1^5*T2 + 25141*T2^2 - 33890*T1*T2^2 - 12454*T1^2*T2^2 + 
      64016*T1^3*T2^2 - 49678*T1^4*T2^2 + 1266*T1^5*T2^2 + 13767*T1^6*T2^2 - 
      18244*T2^3 - 3596*T1*T2^3 + 64016*T1^2*T2^3 - 74176*T1^3*T2^3 + 
      4772*T1^4*T2^3 + 44840*T1^5*T2^3 - 24166*T1^6*T2^3 - 5902*T1^7*T2^3 + 
      5973*T2^4 + 24894*T1*T2^4 - 49678*T1^2*T2^4 + 4772*T1^3*T2^4 + 
      65832*T1^4*T2^4 - 62004*T1^5*T2^4 + 6182*T1^6*T2^4 + 15918*T1^7*T2^4 + 
      649*T1^8*T2^4 - 14130*T1*T2^5 + 1266*T1^2*T2^5 + 44840*T1^3*T2^5 - 
      62004*T1^4*T2^5 + 16944*T1^5*T2^5 + 25664*T1^6*T2^5 - 19304*T1^7*T2^5 - 
      1788*T1^8*T2^5 + 13767*T1^2*T2^6 - 24166*T1^3*T2^6 + 6182*T1^4*T2^6 + 
      25664*T1^5*T2^6 - 31042*T1^6*T2^6 + 10990*T1^7*T2^6 + 2393*T1^8*T2^6 - 
      5902*T1^3*T2^7 + 15918*T1^4*T2^7 - 19304*T1^5*T2^7 + 10990*T1^6*T2^7 - 
      912*T1^7*T2^7 - 1788*T1^8*T2^7 + 649*T1^4*T2^8 - 1788*T1^5*T2^8 + 
      2393*T1^6*T2^8 - 1788*T1^7*T2^8 + 649*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 611] -> 
  {-(((1 - T + T^2)*(4 - 20*T + 31*T^2 - 20*T^3 + 4*T^4))/T^3), 
   -((-336 + 1996*T1 - 4536*T1^2 + 5840*T1^3 - 4536*T1^4 + 1996*T1^5 - 
      336*T1^6 + 1996*T2 - 10256*T1*T2 + 17440*T1^2*T2 - 13058*T1^3*T2 - 
      962*T1^4*T2 + 9856*T1^5*T2 - 7568*T1^6*T2 + 1612*T1^7*T2 - 4536*T2^2 + 
      17440*T1*T2^2 - 7714*T1^2*T2^2 - 32859*T1^3*T2^2 + 66718*T1^4*T2^2 - 
      53539*T1^5*T2^2 + 14726*T1^6*T2^2 + 6880*T1^7*T2^2 - 2776*T1^8*T2^2 + 
      5840*T2^3 - 13058*T1*T2^3 - 32859*T1^2*T2^3 + 96004*T1^3*T2^3 - 
      92034*T1^4*T2^3 + 6978*T1^5*T2^3 + 55624*T1^6*T2^3 - 42759*T1^7*T2^3 + 
      2110*T1^8*T2^3 + 2432*T1^9*T2^3 - 4536*T2^4 - 962*T1*T2^4 + 
      66718*T1^2*T2^4 - 92034*T1^3*T2^4 + 5980*T1^4*T2^4 + 112012*T1^5*T2^4 - 
      109316*T1^6*T2^4 + 19294*T1^7*T2^4 + 33326*T1^8*T2^4 - 8450*T1^9*T2^4 - 
      1016*T1^10*T2^4 + 1996*T2^5 + 9856*T1*T2^5 - 53539*T1^2*T2^5 + 
      6978*T1^3*T2^5 + 112012*T1^4*T2^5 - 154145*T1^5*T2^5 + 
      38485*T1^6*T2^5 + 74117*T1^7*T2^5 - 67402*T1^8*T2^5 - 519*T1^9*T2^5 + 
      5536*T1^10*T2^5 + 76*T1^11*T2^5 - 336*T2^6 - 7568*T1*T2^6 + 
      14726*T1^2*T2^6 + 55624*T1^3*T2^6 - 109316*T1^4*T2^6 + 
      38485*T1^5*T2^6 + 103704*T1^6*T2^6 - 130665*T1^7*T2^6 + 
      40930*T1^8*T2^6 + 30328*T1^9*T2^6 - 11090*T1^10*T2^6 - 656*T1^11*T2^6 + 
      48*T1^12*T2^6 + 1612*T1*T2^7 + 6880*T1^2*T2^7 - 42759*T1^3*T2^7 + 
      19294*T1^4*T2^7 + 74117*T1^5*T2^7 - 130665*T1^6*T2^7 + 
      61965*T1^7*T2^7 + 36222*T1^8*T2^7 - 55086*T1^9*T2^7 + 
      10261*T1^10*T2^7 + 2560*T1^11*T2^7 - 308*T1^12*T2^7 - 2776*T1^2*T2^8 + 
      2110*T1^3*T2^8 + 33326*T1^4*T2^8 - 67402*T1^5*T2^8 + 40930*T1^6*T2^8 + 
      36222*T1^7*T2^8 - 74366*T1^8*T2^8 + 43926*T1^9*T2^8 - 66*T1^10*T2^8 - 
      5378*T1^11*T2^8 + 744*T1^12*T2^8 + 2432*T1^3*T2^9 - 8450*T1^4*T2^9 - 
      519*T1^5*T2^9 + 30328*T1^6*T2^9 - 55086*T1^7*T2^9 + 43926*T1^8*T2^9 - 
      10052*T1^9*T2^9 - 10419*T1^10*T2^9 + 6718*T1^11*T2^9 - 976*T1^12*T2^9 - 
      1016*T1^4*T2^10 + 5536*T1^5*T2^10 - 11090*T1^6*T2^10 + 
      10261*T1^7*T2^10 - 66*T1^8*T2^10 - 10419*T1^9*T2^10 + 
      11350*T1^10*T2^10 - 5024*T1^11*T2^10 + 744*T1^12*T2^10 + 
      76*T1^5*T2^11 - 656*T1^6*T2^11 + 2560*T1^7*T2^11 - 5378*T1^8*T2^11 + 
      6718*T1^9*T2^11 - 5024*T1^10*T2^11 + 2032*T1^11*T2^11 - 
      308*T1^12*T2^11 + 48*T1^6*T2^12 - 308*T1^7*T2^12 + 744*T1^8*T2^12 - 
      976*T1^9*T2^12 + 744*T1^10*T2^12 - 308*T1^11*T2^12 + 48*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 612] -> 
  {-((4 - 17*T + 32*T^2 - 39*T^3 + 32*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-320 + 1340*T1 - 2492*T1^2 + 3024*T1^3 - 2492*T1^4 + 1340*T1^5 - 
      320*T1^6 + 1340*T2 - 4556*T1*T2 + 6021*T1^2*T2 - 4427*T1^3*T2 + 
      401*T1^4*T2 + 2689*T1^5*T2 - 3128*T1^6*T2 + 1068*T1^7*T2 - 2492*T2^2 + 
      6021*T1*T2^2 - 2322*T1^2*T2^2 - 5116*T1^3*T2^2 + 11620*T1^4*T2^2 - 
      10748*T1^5*T2^2 + 4846*T1^6*T2^2 + 1669*T1^7*T2^2 - 1468*T1^8*T2^2 + 
      3024*T2^3 - 4427*T1*T2^3 - 5116*T1^2*T2^3 + 12330*T1^3*T2^3 - 
      12688*T1^4*T2^3 + 3004*T1^5*T2^3 + 5798*T1^6*T2^3 - 8668*T1^7*T2^3 + 
      1353*T1^8*T2^3 + 1152*T1^9*T2^3 - 2492*T2^4 + 401*T1*T2^4 + 
      11620*T1^2*T2^4 - 12688*T1^3*T2^4 + 5573*T1^4*T2^4 + 6597*T1^5*T2^4 - 
      9263*T1^6*T2^4 + 4472*T1^7*T2^4 + 5462*T1^8*T2^4 - 2999*T1^9*T2^4 - 
      444*T1^10*T2^4 + 1340*T2^5 + 2689*T1*T2^5 - 10748*T1^2*T2^5 + 
      3004*T1^3*T2^5 + 6597*T1^4*T2^5 - 11708*T1^5*T2^5 + 4072*T1^6*T2^5 + 
      4741*T1^7*T2^5 - 9752*T1^8*T2^5 + 1124*T1^9*T2^5 + 1941*T1^10*T2^5 - 
      20*T1^11*T2^5 - 320*T2^6 - 3128*T1*T2^6 + 4846*T1^2*T2^6 + 
      5798*T1^3*T2^6 - 9263*T1^4*T2^6 + 4072*T1^5*T2^6 + 6888*T1^6*T2^6 - 
      10248*T1^7*T2^6 + 6069*T1^8*T2^6 + 4230*T1^9*T2^6 - 3542*T1^10*T2^6 - 
      136*T1^11*T2^6 + 64*T1^12*T2^6 + 1068*T1*T2^7 + 1669*T1^2*T2^7 - 
      8668*T1^3*T2^7 + 4472*T1^4*T2^7 + 4741*T1^5*T2^7 - 10248*T1^6*T2^7 + 
      5532*T1^7*T2^7 + 2885*T1^8*T2^7 - 8284*T1^9*T2^7 + 3204*T1^10*T2^7 + 
      921*T1^11*T2^7 - 292*T1^12*T2^7 - 1468*T1^2*T2^8 + 1353*T1^3*T2^8 + 
      5462*T1^4*T2^8 - 9752*T1^5*T2^8 + 6069*T1^6*T2^8 + 2885*T1^7*T2^8 - 
      8767*T1^8*T2^8 + 7408*T1^9*T2^8 - 696*T1^10*T2^8 - 2047*T1^11*T2^8 + 
      580*T1^12*T2^8 + 1152*T1^3*T2^9 - 2999*T1^4*T2^9 + 1124*T1^5*T2^9 + 
      4230*T1^6*T2^9 - 8284*T1^7*T2^9 + 7408*T1^8*T2^9 - 2302*T1^9*T2^9 - 
      2428*T1^10*T2^9 + 2781*T1^11*T2^9 - 720*T1^12*T2^9 - 444*T1^4*T2^10 + 
      1941*T1^5*T2^10 - 3542*T1^6*T2^10 + 3204*T1^7*T2^10 - 696*T1^8*T2^10 - 
      2428*T1^9*T2^10 + 3626*T1^10*T2^10 - 2411*T1^11*T2^10 + 
      580*T1^12*T2^10 - 20*T1^5*T2^11 - 136*T1^6*T2^11 + 921*T1^7*T2^11 - 
      2047*T1^8*T2^11 + 2781*T1^9*T2^11 - 2411*T1^10*T2^11 + 
      1292*T1^11*T2^11 - 292*T1^12*T2^11 + 64*T1^6*T2^12 - 292*T1^7*T2^12 + 
      580*T1^8*T2^12 - 720*T1^9*T2^12 + 580*T1^10*T2^12 - 292*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 613] -> 
  {(3 - 15*T + 36*T^2 - 47*T^3 + 36*T^4 - 15*T^5 + 3*T^6)/T^3, 
   (-45 + 231*T1 - 558*T1^2 + 731*T1^3 - 558*T1^4 + 231*T1^5 - 45*T1^6 + 
     231*T2 - 1089*T1*T2 + 2355*T1^2*T2 - 2508*T1^3*T2 + 1227*T1^4*T2 + 
     60*T1^5*T2 - 279*T1^6*T2 + 96*T1^7*T2 - 558*T2^2 + 2355*T1*T2^2 - 
     4164*T1^2*T2^2 + 2217*T1^3*T2^2 + 2416*T1^4*T2^2 - 4695*T1^5*T2^2 + 
     2964*T1^6*T2^2 - 885*T1^7*T2^2 + 90*T1^8*T2^2 + 731*T2^3 - 
     2508*T1*T2^3 + 2217*T1^2*T2^3 + 4873*T1^3*T2^3 - 12617*T1^4*T2^3 + 
     10630*T1^5*T2^3 - 1517*T1^6*T2^3 - 3291*T1^7*T2^3 + 2217*T1^8*T2^3 - 
     538*T1^9*T2^3 - 558*T2^4 + 1227*T1*T2^4 + 2416*T1^2*T2^4 - 
     12617*T1^3*T2^4 + 16801*T1^4*T2^4 - 2459*T1^5*T2^4 - 14063*T1^6*T2^4 + 
     13609*T1^7*T2^4 - 3182*T1^8*T2^4 - 1023*T1^9*T2^4 + 738*T1^10*T2^4 + 
     231*T2^5 + 60*T1*T2^5 - 4695*T1^2*T2^5 + 10630*T1^3*T2^5 - 
     2459*T1^4*T2^5 - 25589*T1^5*T2^5 + 36277*T1^6*T2^5 - 15851*T1^7*T2^5 - 
     6659*T1^8*T2^5 + 6429*T1^9*T2^5 - 1425*T1^10*T2^5 - 444*T1^11*T2^5 - 
     45*T2^6 - 279*T1*T2^6 + 2964*T1^2*T2^6 - 1517*T1^3*T2^6 - 
     14063*T1^4*T2^6 + 36277*T1^5*T2^6 - 20448*T1^6*T2^6 - 17777*T1^7*T2^6 + 
     31117*T1^8*T2^6 - 10535*T1^9*T2^6 - 816*T1^10*T2^6 + 1611*T1^11*T2^6 + 
     117*T1^12*T2^6 + 96*T1*T2^7 - 885*T1^2*T2^7 - 3291*T1^3*T2^7 + 
     13609*T1^4*T2^7 - 15851*T1^5*T2^7 - 17777*T1^6*T2^7 + 44089*T1^7*T2^7 - 
     29243*T1^8*T2^7 - 3680*T1^9*T2^7 + 7833*T1^10*T2^7 - 2370*T1^11*T2^7 - 
     579*T1^12*T2^7 + 90*T1^2*T2^8 + 2217*T1^3*T2^8 - 3182*T1^4*T2^8 - 
     6659*T1^5*T2^8 + 31117*T1^6*T2^8 - 29243*T1^7*T2^8 + 253*T1^8*T2^8 + 
     19567*T1^9*T2^8 - 8780*T1^10*T2^8 - 33*T1^11*T2^8 + 1386*T1^12*T2^8 - 
     538*T1^3*T2^9 - 1023*T1^4*T2^9 + 6429*T1^5*T2^9 - 10535*T1^6*T2^9 - 
     3680*T1^7*T2^9 + 19567*T1^8*T2^9 - 16925*T1^9*T2^9 + 921*T1^10*T2^9 + 
     3702*T1^11*T2^9 - 1807*T1^12*T2^9 + 738*T1^4*T2^10 - 1425*T1^5*T2^10 - 
     816*T1^6*T2^10 + 7833*T1^7*T2^10 - 8780*T1^8*T2^10 + 921*T1^9*T2^10 + 
     6312*T1^10*T2^10 - 4665*T1^11*T2^10 + 1386*T1^12*T2^10 - 
     444*T1^5*T2^11 + 1611*T1^6*T2^11 - 2370*T1^7*T2^11 - 33*T1^8*T2^11 + 
     3702*T1^9*T2^11 - 4665*T1^10*T2^11 + 2421*T1^11*T2^11 - 
     579*T1^12*T2^11 + 117*T1^6*T2^12 - 579*T1^7*T2^12 + 1386*T1^8*T2^12 - 
     1807*T1^9*T2^12 + 1386*T1^10*T2^12 - 579*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 614] -> 
  {((1 - 3*T + T^2)*(3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4))/T^3, 
   (-111 + 739*T1 - 1879*T1^2 + 2463*T1^3 - 1879*T1^4 + 739*T1^5 - 111*T1^6 + 
     739*T2 - 4364*T1*T2 + 8803*T1^2*T2 - 6960*T1^3*T2 + 120*T1^4*T2 + 
     4543*T1^5*T2 - 2984*T1^6*T2 + 559*T1^7*T2 - 1879*T2^2 + 8803*T1*T2^2 - 
     8101*T1^2*T2^2 - 14680*T1^3*T2^2 + 34323*T1^4*T2^2 - 29062*T1^5*T2^2 + 
     6587*T1^6*T2^2 + 2683*T1^7*T2^2 - 961*T1^8*T2^2 + 2463*T2^3 - 
     6960*T1*T2^3 - 14680*T1^2*T2^3 + 63287*T1^3*T2^3 - 64470*T1^4*T2^3 + 
     13077*T1^5*T2^3 + 33077*T1^6*T2^3 - 21973*T1^7*T2^3 + 2040*T1^8*T2^3 + 
     654*T1^9*T2^3 - 1879*T2^4 + 120*T1*T2^4 + 34323*T1^2*T2^4 - 
     64470*T1^3*T2^4 - 2166*T1^4*T2^4 + 90108*T1^5*T2^4 - 98750*T1^6*T2^4 + 
     23166*T1^7*T2^4 + 11935*T1^8*T2^4 - 4080*T1^9*T2^4 - 43*T1^10*T2^4 + 
     739*T2^5 + 4543*T1*T2^5 - 29062*T1^2*T2^5 + 13077*T1^3*T2^5 + 
     90108*T1^4*T2^5 - 134095*T1^5*T2^5 + 58751*T1^6*T2^5 + 46401*T1^7*T2^5 - 
     44292*T1^8*T2^5 + 6587*T1^9*T2^5 + 1363*T1^10*T2^5 - 161*T1^11*T2^5 - 
     111*T2^6 - 2984*T1*T2^6 + 6587*T1^2*T2^6 + 33077*T1^3*T2^6 - 
     98750*T1^4*T2^6 + 58751*T1^5*T2^6 + 55332*T1^6*T2^6 - 110023*T1^7*T2^6 + 
     46500*T1^8*T2^6 + 7019*T1^9*T2^6 - 7053*T1^10*T2^6 + 736*T1^11*T2^6 + 
     51*T1^12*T2^6 + 559*T1*T2^7 + 2683*T1^2*T2^7 - 21973*T1^3*T2^7 + 
     23166*T1^4*T2^7 + 46401*T1^5*T2^7 - 110023*T1^6*T2^7 + 82823*T1^7*T2^7 + 
     2694*T1^8*T2^7 - 34203*T1^9*T2^7 + 13676*T1^10*T2^7 - 497*T1^11*T2^7 - 
     341*T1^12*T2^7 - 961*T1^2*T2^8 + 2040*T1^3*T2^8 + 11935*T1^4*T2^8 - 
     44292*T1^5*T2^8 + 46500*T1^6*T2^8 + 2694*T1^7*T2^8 - 50084*T1^8*T2^8 + 
     43344*T1^9*T2^8 - 10453*T1^10*T2^8 - 2160*T1^11*T2^8 + 875*T1^12*T2^8 + 
     654*T1^3*T2^9 - 4080*T1^4*T2^9 + 6587*T1^5*T2^9 + 7019*T1^6*T2^9 - 
     34203*T1^7*T2^9 + 43344*T1^8*T2^9 - 23191*T1^9*T2^9 - 706*T1^10*T2^9 + 
     4920*T1^11*T2^9 - 1155*T1^12*T2^9 - 43*T1^4*T2^10 + 1363*T1^5*T2^10 - 
     7053*T1^6*T2^10 + 13676*T1^7*T2^10 - 10453*T1^8*T2^10 - 706*T1^9*T2^10 + 
     7635*T1^10*T2^10 - 4757*T1^11*T2^10 + 875*T1^12*T2^10 - 161*T1^5*T2^11 + 
     736*T1^6*T2^11 - 497*T1^7*T2^11 - 2160*T1^8*T2^11 + 4920*T1^9*T2^11 - 
     4757*T1^10*T2^11 + 2116*T1^11*T2^11 - 341*T1^12*T2^11 + 51*T1^6*T2^12 - 
     341*T1^7*T2^12 + 875*T1^8*T2^12 - 1155*T1^9*T2^12 + 875*T1^10*T2^12 - 
     341*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 615] -> {((1 - T + T^2)^2*(7 - 13*T + 7*T^2))/T^3, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (2149 - 6032*T1 + 8091*T1^2 - 6032*T1^3 + 2149*T1^4 - 6032*T2 + 
       12307*T1*T2 - 9630*T1^2*T2 - 747*T1^3*T2 + 7204*T1^4*T2 - 
       4709*T1^5*T2 + 8091*T2^2 - 9630*T1*T2^2 - 2891*T1^2*T2^2 + 
       16538*T1^3*T2^2 - 14231*T1^4*T2^2 + 1710*T1^5*T2^2 + 4122*T1^6*T2^2 - 
       6032*T2^3 - 747*T1*T2^3 + 16538*T1^2*T2^3 - 20156*T1^3*T2^3 + 
       4144*T1^4*T2^3 + 10058*T1^5*T2^3 - 7530*T1^6*T2^3 - 1475*T1^7*T2^3 + 
       2149*T2^4 + 7204*T1*T2^4 - 14231*T1^2*T2^4 + 4144*T1^3*T2^4 + 
       13776*T1^4*T2^4 - 16376*T1^5*T2^4 + 4231*T1^6*T2^4 + 3844*T1^7*T2^4 + 
       91*T1^8*T2^4 - 4709*T1*T2^5 + 1710*T1^2*T2^5 + 10058*T1^3*T2^5 - 
       16376*T1^4*T2^5 + 7924*T1^5*T2^5 + 3578*T1^6*T2^5 - 5073*T1^7*T2^5 - 
       152*T1^8*T2^5 + 4122*T1^2*T2^6 - 7530*T1^3*T2^6 + 4231*T1^4*T2^6 + 
       3578*T1^5*T2^6 - 7109*T1^6*T2^6 + 3810*T1^7*T2^6 + 153*T1^8*T2^6 - 
       1475*T1^3*T2^7 + 3844*T1^4*T2^7 - 5073*T1^5*T2^7 + 3810*T1^6*T2^7 - 
       1259*T1^7*T2^7 - 152*T1^8*T2^7 + 91*T1^4*T2^8 - 152*T1^5*T2^8 + 
       153*T1^6*T2^8 - 152*T1^7*T2^8 + 91*T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 616] -> 
  {(2 - 11*T + 32*T^2 - 55*T^3 + 65*T^4 - 55*T^5 + 32*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 776*T1^2 + 1327*T1^3 - 1565*T1^4 + 1327*T1^5 - 
     776*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 3029*T1^2*T2 - 
     3733*T1^3*T2 + 2520*T1^4*T2 - 120*T1^5*T2 - 1819*T1^6*T2 + 
     2083*T1^7*T2 - 958*T1^8*T2 + 224*T1^9*T2 - 776*T2^2 + 3029*T1*T2^2 - 
     6128*T1^2*T2^2 + 4445*T1^3*T2^2 + 313*T1^4*T2^2 - 4314*T1^5*T2^2 + 
     4537*T1^6*T2^2 - 1187*T1^7*T2^2 - 2288*T1^8*T2^2 + 1621*T1^9*T2^2 - 
     520*T1^10*T2^2 + 1327*T2^3 - 3733*T1*T2^3 + 4445*T1^2*T2^3 + 
     5514*T1^3*T2^3 - 12790*T1^4*T2^3 + 11326*T1^5*T2^3 - 2204*T1^6*T2^3 - 
     7246*T1^7*T2^3 + 9188*T1^8*T2^3 - 1539*T1^9*T2^3 - 807*T1^10*T2^3 + 
     667*T1^11*T2^3 - 1565*T2^4 + 2520*T1*T2^4 + 313*T1^2*T2^4 - 
     12790*T1^3*T2^4 + 4421*T1^4*T2^4 + 16153*T1^5*T2^4 - 33133*T1^6*T2^4 + 
     33203*T1^7*T2^4 - 16059*T1^8*T2^4 - 5090*T1^9*T2^4 + 3643*T1^10*T2^4 - 
     780*T1^11*T2^4 - 525*T1^12*T2^4 + 1327*T2^5 - 120*T1*T2^5 - 
     4314*T1^2*T2^5 + 11326*T1^3*T2^5 + 16153*T1^4*T2^5 - 38109*T1^5*T2^5 + 
     36405*T1^6*T2^5 - 11830*T1^7*T2^5 - 16659*T1^8*T2^5 + 26988*T1^9*T2^5 - 
     4184*T1^10*T2^5 - 1839*T1^11*T2^5 + 1640*T1^12*T2^5 + 227*T1^13*T2^5 - 
     776*T2^6 - 1819*T1*T2^6 + 4537*T1^2*T2^6 - 2204*T1^3*T2^6 - 
     33133*T1^4*T2^6 + 36405*T1^5*T2^6 - 12085*T1^6*T2^6 - 18199*T1^7*T2^6 + 
     30235*T1^8*T2^6 - 15295*T1^9*T2^6 - 16473*T1^10*T2^6 + 8356*T1^11*T2^6 - 
     1475*T1^12*T2^6 - 1203*T1^13*T2^6 - 8*T1^14*T2^6 + 268*T2^7 + 
     2083*T1*T2^7 - 1187*T1^2*T2^7 - 7246*T1^3*T2^7 + 33203*T1^4*T2^7 - 
     11830*T1^5*T2^7 - 18199*T1^6*T2^7 + 29149*T1^7*T2^7 - 14169*T1^8*T2^7 - 
     13062*T1^9*T2^7 + 29475*T1^10*T2^7 - 2492*T1^11*T2^7 - 4166*T1^12*T2^7 + 
     2685*T1^13*T2^7 + 257*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 
     958*T1*T2^8 - 2288*T1^2*T2^8 + 9188*T1^3*T2^8 - 16059*T1^4*T2^8 - 
     16659*T1^5*T2^8 + 30235*T1^6*T2^8 - 14169*T1^7*T2^8 - 12240*T1^8*T2^8 + 
     26685*T1^9*T2^8 - 16823*T1^10*T2^8 - 15009*T1^11*T2^8 + 
     10613*T1^12*T2^8 - 2296*T1^13*T2^8 - 1058*T1^14*T2^8 + 142*T1^15*T2^8 + 
     15*T1^16*T2^8 + 224*T1*T2^9 + 1621*T1^2*T2^9 - 1539*T1^3*T2^9 - 
     5090*T1^4*T2^9 + 26988*T1^5*T2^9 - 15295*T1^6*T2^9 - 13062*T1^7*T2^9 + 
     26685*T1^8*T2^9 - 16633*T1^9*T2^9 - 7925*T1^10*T2^9 + 26010*T1^11*T2^9 - 
     8707*T1^12*T2^9 - 2010*T1^13*T2^9 + 2333*T1^14*T2^9 - 205*T1^15*T2^9 - 
     84*T1^16*T2^9 - 520*T1^2*T2^10 - 807*T1^3*T2^10 + 3643*T1^4*T2^10 - 
     4184*T1^5*T2^10 - 16473*T1^6*T2^10 + 29475*T1^7*T2^10 - 
     16823*T1^8*T2^10 - 7925*T1^9*T2^10 + 25497*T1^10*T2^10 - 
     22225*T1^11*T2^10 + 187*T1^12*T2^10 + 6376*T1^13*T2^10 - 
     2369*T1^14*T2^10 - 191*T1^15*T2^10 + 248*T1^16*T2^10 + 667*T1^3*T2^11 - 
     780*T1^4*T2^11 - 1839*T1^5*T2^11 + 8356*T1^6*T2^11 - 2492*T1^7*T2^11 - 
     15009*T1^8*T2^11 + 26010*T1^9*T2^11 - 22225*T1^10*T2^11 + 
     6441*T1^11*T2^11 + 8343*T1^12*T2^11 - 7154*T1^13*T2^11 + 
     636*T1^14*T2^11 + 980*T1^15*T2^11 - 433*T1^16*T2^11 - 525*T1^4*T2^12 + 
     1640*T1^5*T2^12 - 1475*T1^6*T2^12 - 4166*T1^7*T2^12 + 10613*T1^8*T2^12 - 
     8707*T1^9*T2^12 + 187*T1^10*T2^12 + 8343*T1^11*T2^12 - 
     9867*T1^12*T2^12 + 3534*T1^13*T2^12 + 1855*T1^14*T2^12 - 
     1660*T1^15*T2^12 + 515*T1^16*T2^12 + 227*T1^5*T2^13 - 1203*T1^6*T2^13 + 
     2685*T1^7*T2^13 - 2296*T1^8*T2^13 - 2010*T1^9*T2^13 + 6376*T1^10*T2^13 - 
     7154*T1^11*T2^13 + 3534*T1^12*T2^13 + 1378*T1^13*T2^13 - 
     3299*T1^14*T2^13 + 1723*T1^15*T2^13 - 433*T1^16*T2^13 - 8*T1^6*T2^14 + 
     257*T1^7*T2^14 - 1058*T1^8*T2^14 + 2333*T1^9*T2^14 - 2369*T1^10*T2^14 + 
     636*T1^11*T2^14 + 1855*T1^12*T2^14 - 3299*T1^13*T2^14 + 
     2782*T1^14*T2^14 - 1151*T1^15*T2^14 + 248*T1^16*T2^14 - 40*T1^7*T2^15 + 
     142*T1^8*T2^15 - 205*T1^9*T2^15 - 191*T1^10*T2^15 + 980*T1^11*T2^15 - 
     1660*T1^12*T2^15 + 1723*T1^13*T2^15 - 1151*T1^14*T2^15 + 
     428*T1^15*T2^15 - 84*T1^16*T2^15 + 15*T1^8*T2^16 - 84*T1^9*T2^16 + 
     248*T1^10*T2^16 - 433*T1^11*T2^16 + 515*T1^12*T2^16 - 433*T1^13*T2^16 + 
     248*T1^14*T2^16 - 84*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 617] -> 
  {((1 - T + T^2)*(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6))/T^4, 
   (-33 + 148*T1 - 362*T1^2 + 577*T1^3 - 677*T1^4 + 577*T1^5 - 362*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1122*T1^2*T2 - 1360*T1^3*T2 + 
     1078*T1^4*T2 - 290*T1^5*T2 - 334*T1^6*T2 + 564*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 362*T2^2 + 1122*T1*T2^2 - 1909*T1^2*T2^2 + 
     1674*T1^3*T2^2 - 740*T1^4*T2^2 - 641*T1^5*T2^2 + 932*T1^6*T2^2 - 
     614*T1^7*T2^2 - 149*T1^8*T2^2 + 330*T1^9*T2^2 - 186*T1^10*T2^2 + 
     577*T2^3 - 1360*T1*T2^3 + 1674*T1^2*T2^3 - 274*T1^3*T2^3 - 
     1047*T1^4*T2^3 + 2176*T1^5*T2^3 - 902*T1^6*T2^3 - 261*T1^7*T2^3 + 
     1358*T1^8*T2^3 - 768*T1^9*T2^3 + 134*T1^10*T2^3 + 157*T1^11*T2^3 - 
     677*T2^4 + 1078*T1*T2^4 - 740*T1^2*T2^4 - 1047*T1^3*T2^4 + 
     908*T1^4*T2^4 - 382*T1^5*T2^4 - 2674*T1^6*T2^4 + 3060*T1^7*T2^4 - 
     2680*T1^8*T2^4 + 73*T1^9*T2^4 + 806*T1^10*T2^4 - 614*T1^11*T2^4 - 
     21*T1^12*T2^4 + 577*T2^5 - 290*T1*T2^5 - 641*T1^2*T2^5 + 
     2176*T1^3*T2^5 - 382*T1^4*T2^5 - 863*T1^5*T2^5 + 4003*T1^6*T2^5 - 
     2268*T1^7*T2^5 + 627*T1^8*T2^5 + 2357*T1^9*T2^5 - 1458*T1^10*T2^5 + 
     82*T1^11*T2^5 + 646*T1^12*T2^5 - 123*T1^13*T2^5 - 362*T2^6 - 
     334*T1*T2^6 + 932*T1^2*T2^6 - 902*T1^3*T2^6 - 2674*T1^4*T2^6 + 
     4003*T1^5*T2^6 - 5845*T1^6*T2^6 + 1545*T1^7*T2^6 + 951*T1^8*T2^6 - 
     3001*T1^9*T2^6 + 130*T1^10*T2^6 + 1342*T1^11*T2^6 - 992*T1^12*T2^6 - 
     190*T1^13*T2^6 + 166*T1^14*T2^6 + 148*T2^7 + 564*T1*T2^7 - 
     614*T1^2*T2^7 - 261*T1^3*T2^7 + 3060*T1^4*T2^7 - 2268*T1^5*T2^7 + 
     1545*T1^6*T2^7 + 3255*T1^7*T2^7 - 3439*T1^8*T2^7 + 1698*T1^9*T2^7 + 
     2537*T1^10*T2^7 - 2491*T1^11*T2^7 + 289*T1^12*T2^7 + 904*T1^13*T2^7 - 
     282*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 - 
     149*T1^2*T2^8 + 1358*T1^3*T2^8 - 2680*T1^4*T2^8 + 627*T1^5*T2^8 + 
     951*T1^6*T2^8 - 3439*T1^7*T2^8 + 1020*T1^8*T2^8 + 2207*T1^9*T2^8 - 
     3551*T1^10*T2^8 + 673*T1^11*T2^8 + 2164*T1^12*T2^8 - 1594*T1^13*T2^8 + 
     53*T1^14*T2^8 + 330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 
     330*T1^2*T2^9 - 768*T1^3*T2^9 + 73*T1^4*T2^9 + 2357*T1^5*T2^9 - 
     3001*T1^6*T2^9 + 1698*T1^7*T2^9 + 2207*T1^8*T2^9 - 4487*T1^9*T2^9 + 
     1851*T1^10*T2^9 + 1804*T1^11*T2^9 - 3194*T1^12*T2^9 + 623*T1^13*T2^9 + 
     750*T1^14*T2^9 - 516*T1^15*T2^9 - 140*T1^16*T2^9 - 186*T1^2*T2^10 + 
     134*T1^3*T2^10 + 806*T1^4*T2^10 - 1458*T1^5*T2^10 + 130*T1^6*T2^10 + 
     2537*T1^7*T2^10 - 3551*T1^8*T2^10 + 1851*T1^9*T2^10 + 3245*T1^10*T2^10 - 
     4467*T1^11*T2^10 + 2934*T1^12*T2^10 + 786*T1^13*T2^10 - 
     1118*T1^14*T2^10 + 278*T1^15*T2^10 + 342*T1^16*T2^10 + 157*T1^3*T2^11 - 
     614*T1^4*T2^11 + 82*T1^5*T2^11 + 1342*T1^6*T2^11 - 2491*T1^7*T2^11 + 
     673*T1^8*T2^11 + 1804*T1^9*T2^11 - 4467*T1^10*T2^11 + 2163*T1^11*T2^11 + 
     248*T1^12*T2^11 - 2292*T1^13*T2^11 + 805*T1^14*T2^11 + 322*T1^15*T2^11 - 
     543*T1^16*T2^11 - 21*T1^4*T2^12 + 646*T1^5*T2^12 - 992*T1^6*T2^12 + 
     289*T1^7*T2^12 + 2164*T1^8*T2^12 - 3194*T1^9*T2^12 + 2934*T1^10*T2^12 + 
     248*T1^11*T2^12 - 1424*T1^12*T2^12 + 1409*T1^13*T2^12 + 
     554*T1^14*T2^12 - 1046*T1^15*T2^12 + 635*T1^16*T2^12 - 123*T1^5*T2^13 - 
     190*T1^6*T2^13 + 904*T1^7*T2^13 - 1594*T1^8*T2^13 + 623*T1^9*T2^13 + 
     786*T1^10*T2^13 - 2292*T1^11*T2^13 + 1409*T1^12*T2^13 + 38*T1^13*T2^13 - 
     1538*T1^14*T2^13 + 1304*T1^15*T2^13 - 543*T1^16*T2^13 + 166*T1^6*T2^14 - 
     282*T1^7*T2^14 + 53*T1^8*T2^14 + 750*T1^9*T2^14 - 1118*T1^10*T2^14 + 
     805*T1^11*T2^14 + 554*T1^12*T2^14 - 1538*T1^13*T2^14 + 
     1813*T1^14*T2^14 - 1074*T1^15*T2^14 + 342*T1^16*T2^14 - 104*T1^7*T2^15 + 
     330*T1^8*T2^15 - 516*T1^9*T2^15 + 278*T1^10*T2^15 + 322*T1^11*T2^15 - 
     1046*T1^12*T2^15 + 1304*T1^13*T2^15 - 1074*T1^14*T2^15 + 
     528*T1^15*T2^15 - 140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 
     342*T1^10*T2^16 - 543*T1^11*T2^16 + 635*T1^12*T2^16 - 543*T1^13*T2^16 + 
     342*T1^14*T2^16 - 140*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 618] -> 
  {(2 - 11*T + 31*T^2 - 53*T^3 + 63*T^4 - 53*T^5 + 31*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 751*T1^2 + 1277*T1^3 - 1515*T1^4 + 1277*T1^5 - 
     751*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 2893*T1^2*T2 - 
     3575*T1^3*T2 + 2476*T1^4*T2 - 76*T1^5*T2 - 1727*T1^6*T2 + 1969*T1^7*T2 - 
     958*T1^8*T2 + 224*T1^9*T2 - 751*T2^2 + 2893*T1*T2^2 - 5340*T1^2*T2^2 + 
     3546*T1^3*T2^2 + 1130*T1^4*T2^2 - 5444*T1^5*T2^2 + 5098*T1^6*T2^2 - 
     1662*T1^7*T2^2 - 1744*T1^8*T2^2 + 1529*T1^9*T2^2 - 503*T1^10*T2^2 + 
     1277*T2^3 - 3575*T1*T2^3 + 3546*T1^2*T2^3 + 5111*T1^3*T2^3 - 
     11823*T1^4*T2^3 + 11375*T1^5*T2^3 - 1469*T1^6*T2^3 - 6711*T1^7*T2^3 + 
     8279*T1^8*T2^3 - 1879*T1^9*T2^3 - 759*T1^10*T2^3 + 641*T1^11*T2^3 - 
     1515*T2^4 + 2476*T1*T2^4 + 1130*T1^2*T2^4 - 11823*T1^3*T2^4 + 
     6614*T1^4*T2^4 + 8930*T1^5*T2^4 - 26468*T1^6*T2^4 + 25074*T1^7*T2^4 - 
     11614*T1^8*T2^4 - 4721*T1^9*T2^4 + 3928*T1^10*T2^4 - 736*T1^11*T2^4 - 
     507*T1^12*T2^4 + 1277*T2^5 - 76*T1*T2^5 - 5444*T1^2*T2^5 + 
     11375*T1^3*T2^5 + 8930*T1^4*T2^5 - 26828*T1^5*T2^5 + 30873*T1^6*T2^5 - 
     7339*T1^7*T2^5 - 13512*T1^8*T2^5 + 20879*T1^9*T2^5 - 3625*T1^10*T2^5 - 
     2291*T1^11*T2^5 + 1596*T1^12*T2^5 + 217*T1^13*T2^5 - 751*T2^6 - 
     1727*T1*T2^6 + 5098*T1^2*T2^6 - 1469*T1^3*T2^6 - 26468*T1^4*T2^6 + 
     30873*T1^5*T2^6 - 15089*T1^6*T2^6 - 16637*T1^7*T2^6 + 22747*T1^8*T2^6 - 
     10643*T1^9*T2^6 - 13354*T1^10*T2^6 + 8141*T1^11*T2^6 - 1210*T1^12*T2^6 - 
     1155*T1^13*T2^6 - 7*T1^14*T2^6 + 268*T2^7 + 1969*T1*T2^7 - 
     1662*T1^2*T2^7 - 6711*T1^3*T2^7 + 25074*T1^4*T2^7 - 7339*T1^5*T2^7 - 
     16637*T1^6*T2^7 + 31727*T1^7*T2^7 - 11169*T1^8*T2^7 - 11906*T1^9*T2^7 + 
     24265*T1^10*T2^7 - 3655*T1^11*T2^7 - 3863*T1^12*T2^7 + 2461*T1^13*T2^7 + 
     253*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 958*T1*T2^8 - 
     1744*T1^2*T2^8 + 8279*T1^3*T2^8 - 11614*T1^4*T2^8 - 13512*T1^5*T2^8 + 
     22747*T1^6*T2^8 - 11169*T1^7*T2^8 - 19044*T1^8*T2^8 + 27861*T1^9*T2^8 - 
     16211*T1^10*T2^8 - 10280*T1^11*T2^8 + 9290*T1^12*T2^8 - 
     1959*T1^13*T2^8 - 1050*T1^14*T2^8 + 142*T1^15*T2^8 + 15*T1^16*T2^8 + 
     224*T1*T2^9 + 1529*T1^2*T2^9 - 1879*T1^3*T2^9 - 4721*T1^4*T2^9 + 
     20879*T1^5*T2^9 - 10643*T1^6*T2^9 - 11906*T1^7*T2^9 + 27861*T1^8*T2^9 - 
     15035*T1^9*T2^9 - 7175*T1^10*T2^9 + 20961*T1^11*T2^9 - 7850*T1^12*T2^9 - 
     1873*T1^13*T2^9 + 2244*T1^14*T2^9 - 187*T1^15*T2^9 - 84*T1^16*T2^9 - 
     503*T1^2*T2^10 - 759*T1^3*T2^10 + 3928*T1^4*T2^10 - 3625*T1^5*T2^10 - 
     13354*T1^6*T2^10 + 24265*T1^7*T2^10 - 16211*T1^8*T2^10 - 
     7175*T1^9*T2^10 + 21625*T1^10*T2^10 - 17251*T1^11*T2^10 - 
     240*T1^12*T2^10 + 5985*T1^13*T2^10 - 2380*T1^14*T2^10 - 
     187*T1^15*T2^10 + 241*T1^16*T2^10 + 641*T1^3*T2^11 - 736*T1^4*T2^11 - 
     2291*T1^5*T2^11 + 8141*T1^6*T2^11 - 3655*T1^7*T2^11 - 10280*T1^8*T2^11 + 
     20961*T1^9*T2^11 - 17251*T1^10*T2^11 + 3036*T1^11*T2^11 + 
     8294*T1^12*T2^11 - 6859*T1^13*T2^11 + 862*T1^14*T2^11 + 
     936*T1^15*T2^11 - 419*T1^16*T2^11 - 507*T1^4*T2^12 + 1596*T1^5*T2^12 - 
     1210*T1^6*T2^12 - 3863*T1^7*T2^12 + 9290*T1^8*T2^12 - 7850*T1^9*T2^12 - 
     240*T1^10*T2^12 + 8294*T1^11*T2^12 - 8938*T1^12*T2^12 + 
     3239*T1^13*T2^12 + 1588*T1^14*T2^12 - 1616*T1^15*T2^12 + 
     501*T1^16*T2^12 + 217*T1^5*T2^13 - 1155*T1^6*T2^13 + 2461*T1^7*T2^13 - 
     1959*T1^8*T2^13 - 1873*T1^9*T2^13 + 5985*T1^10*T2^13 - 
     6859*T1^11*T2^13 + 3239*T1^12*T2^13 + 1209*T1^13*T2^13 - 
     2964*T1^14*T2^13 + 1661*T1^15*T2^13 - 419*T1^16*T2^13 - 7*T1^6*T2^14 + 
     253*T1^7*T2^14 - 1050*T1^8*T2^14 + 2244*T1^9*T2^14 - 2380*T1^10*T2^14 + 
     862*T1^11*T2^14 + 1588*T1^12*T2^14 - 2964*T1^13*T2^14 + 
     2546*T1^14*T2^14 - 1111*T1^15*T2^14 + 241*T1^16*T2^14 - 40*T1^7*T2^15 + 
     142*T1^8*T2^15 - 187*T1^9*T2^15 - 187*T1^10*T2^15 + 936*T1^11*T2^15 - 
     1616*T1^12*T2^15 + 1661*T1^13*T2^15 - 1111*T1^14*T2^15 + 
     428*T1^15*T2^15 - 84*T1^16*T2^15 + 15*T1^8*T2^16 - 84*T1^9*T2^16 + 
     241*T1^10*T2^16 - 419*T1^11*T2^16 + 501*T1^12*T2^16 - 419*T1^13*T2^16 + 
     241*T1^14*T2^16 - 84*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 619] -> 
  {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((-747 + 2979*T1 - 4327*T1^2 + 2979*T1^3 - 747*T1^4 + 2979*T2 - 
      9774*T1*T2 + 8842*T1^2*T2 + 346*T1^3*T2 - 5454*T1^4*T2 + 2115*T1^5*T2 - 
      4327*T2^2 + 8842*T1*T2^2 + 6710*T1^2*T2^2 - 24356*T1^3*T2^2 + 
      18890*T1^4*T2^2 - 1238*T1^5*T2^2 - 1807*T1^6*T2^2 + 2979*T2^3 + 
      346*T1*T2^3 - 24356*T1^2*T2^3 + 30788*T1^3*T2^3 - 5812*T1^4*T2^3 - 
      14276*T1^5*T2^3 + 5674*T1^6*T2^3 + 387*T1^7*T2^3 - 747*T2^4 - 
      5454*T1*T2^4 + 18890*T1^2*T2^4 - 5812*T1^3*T2^4 - 21384*T1^4*T2^4 + 
      24140*T1^5*T2^4 - 3718*T1^6*T2^4 - 1998*T1^7*T2^4 + 117*T1^8*T2^4 + 
      2115*T1*T2^5 - 1238*T1^2*T2^5 - 14276*T1^3*T2^5 + 24140*T1^4*T2^5 - 
      12460*T1^5*T2^5 - 4196*T1^6*T2^5 + 4090*T1^7*T2^5 - 477*T1^8*T2^5 - 
      1807*T1^2*T2^6 + 5674*T1^3*T2^6 - 3718*T1^4*T2^6 - 4196*T1^5*T2^6 + 
      8462*T1^6*T2^6 - 4406*T1^7*T2^6 + 713*T1^8*T2^6 + 387*T1^3*T2^7 - 
      1998*T1^4*T2^7 + 4090*T1^5*T2^7 - 4406*T1^6*T2^7 + 2322*T1^7*T2^7 - 
      477*T1^8*T2^7 + 117*T1^4*T2^8 - 477*T1^5*T2^8 + 713*T1^6*T2^8 - 
      477*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 620] -> 
  {(2 - 12*T + 33*T^2 - 55*T^3 + 65*T^4 - 55*T^5 + 33*T^6 - 12*T^7 + 2*T^8)/
    T^4, (-49 + 292*T1 - 798*T1^2 + 1324*T1^3 - 1563*T1^4 + 1324*T1^5 - 
     798*T1^6 + 292*T1^7 - 49*T1^8 + 292*T2 - 1498*T1*T2 + 3311*T1^2*T2 - 
     3938*T1^3*T2 + 2749*T1^4*T2 - 131*T1^5*T2 - 1826*T1^6*T2 + 
     2231*T1^7*T2 - 1162*T1^8*T2 + 244*T1^9*T2 - 798*T2^2 + 3311*T1*T2^2 - 
     4894*T1^2*T2^2 + 1069*T1^3*T2^2 + 5245*T1^4*T2^2 - 10588*T1^5*T2^2 + 
     9469*T1^6*T2^2 - 4607*T1^7*T2^2 - 802*T1^8*T2^2 + 1727*T1^9*T2^2 - 
     534*T1^10*T2^2 + 1324*T2^3 - 3938*T1*T2^3 + 1069*T1^2*T2^3 + 
     10866*T1^3*T2^3 - 17837*T1^4*T2^3 + 16225*T1^5*T2^3 - 2255*T1^6*T2^3 - 
     8399*T1^7*T2^3 + 11856*T1^8*T2^3 - 4277*T1^9*T2^3 - 770*T1^10*T2^3 + 
     664*T1^11*T2^3 - 1563*T2^4 + 2749*T1*T2^4 + 5245*T1^2*T2^4 - 
     17837*T1^3*T2^4 + 10314*T1^4*T2^4 + 6417*T1^5*T2^4 - 27908*T1^6*T2^4 + 
     26297*T1^7*T2^4 - 13686*T1^8*T2^4 - 5517*T1^9*T2^4 + 6565*T1^10*T2^4 - 
     851*T1^11*T2^4 - 523*T1^12*T2^4 + 1324*T2^5 - 131*T1*T2^5 - 
     10588*T1^2*T2^5 + 16225*T1^3*T2^5 + 6417*T1^4*T2^5 - 22975*T1^5*T2^5 + 
     30626*T1^6*T2^5 - 6004*T1^7*T2^5 - 12085*T1^8*T2^5 + 22372*T1^9*T2^5 - 
     5335*T1^10*T2^5 - 4288*T1^11*T2^5 + 1789*T1^12*T2^5 + 224*T1^13*T2^5 - 
     798*T2^6 - 1826*T1*T2^6 + 9469*T1^2*T2^6 - 2255*T1^3*T2^6 - 
     27908*T1^4*T2^6 + 30626*T1^5*T2^6 - 19813*T1^6*T2^6 - 13071*T1^7*T2^6 + 
     16223*T1^8*T2^6 - 9304*T1^9*T2^6 - 14378*T1^10*T2^6 + 11605*T1^11*T2^6 - 
     563*T1^12*T2^6 - 1298*T1^13*T2^6 - 6*T1^14*T2^6 + 292*T2^7 + 
     2231*T1*T2^7 - 4607*T1^2*T2^7 - 8399*T1^3*T2^7 + 26297*T1^4*T2^7 - 
     6004*T1^5*T2^7 - 13071*T1^6*T2^7 + 29664*T1^7*T2^7 - 6924*T1^8*T2^7 - 
     10420*T1^9*T2^7 + 24026*T1^10*T2^7 - 5358*T1^11*T2^7 - 6309*T1^12*T2^7 + 
     2719*T1^13*T2^7 + 287*T1^14*T2^7 - 44*T1^15*T2^7 - 49*T2^8 - 
     1162*T1*T2^8 - 802*T1^2*T2^8 + 11856*T1^3*T2^8 - 13686*T1^4*T2^8 - 
     12085*T1^5*T2^8 + 16223*T1^6*T2^8 - 6924*T1^7*T2^8 - 22824*T1^8*T2^8 + 
     25768*T1^9*T2^8 - 15963*T1^10*T2^8 - 9715*T1^11*T2^8 + 
     12022*T1^12*T2^8 - 1564*T1^13*T2^8 - 1402*T1^14*T2^8 + 182*T1^15*T2^8 + 
     15*T1^16*T2^8 + 244*T1*T2^9 + 1727*T1^2*T2^9 - 4277*T1^3*T2^9 - 
     5517*T1^4*T2^9 + 22372*T1^5*T2^9 - 9304*T1^6*T2^9 - 10420*T1^7*T2^9 + 
     25768*T1^8*T2^9 - 10820*T1^9*T2^9 - 7769*T1^10*T2^9 + 20726*T1^11*T2^9 - 
     9283*T1^12*T2^9 - 3427*T1^13*T2^9 + 3049*T1^14*T2^9 - 217*T1^15*T2^9 - 
     92*T1^16*T2^9 - 534*T1^2*T2^10 - 770*T1^3*T2^10 + 6565*T1^4*T2^10 - 
     5335*T1^5*T2^10 - 14378*T1^6*T2^10 + 24026*T1^7*T2^10 - 
     15963*T1^8*T2^10 - 7769*T1^9*T2^10 + 20073*T1^10*T2^10 - 
     15904*T1^11*T2^10 - 848*T1^12*T2^10 + 8525*T1^13*T2^10 - 
     3467*T1^14*T2^10 - 242*T1^15*T2^10 + 258*T1^16*T2^10 + 664*T1^3*T2^11 - 
     851*T1^4*T2^11 - 4288*T1^5*T2^11 + 11605*T1^6*T2^11 - 5358*T1^7*T2^11 - 
     9715*T1^8*T2^11 + 20726*T1^9*T2^11 - 15904*T1^10*T2^11 + 
     1175*T1^11*T2^11 + 10597*T1^12*T2^11 - 9955*T1^13*T2^11 + 
     2012*T1^14*T2^11 + 1069*T1^15*T2^11 - 436*T1^16*T2^11 - 523*T1^4*T2^12 + 
     1789*T1^5*T2^12 - 563*T1^6*T2^12 - 6309*T1^7*T2^12 + 12022*T1^8*T2^12 - 
     9283*T1^9*T2^12 - 848*T1^10*T2^12 + 10597*T1^11*T2^12 - 
     11978*T1^12*T2^12 + 6011*T1^13*T2^12 + 757*T1^14*T2^12 - 
     1811*T1^15*T2^12 + 517*T1^16*T2^12 + 224*T1^5*T2^13 - 1298*T1^6*T2^13 + 
     2719*T1^7*T2^13 - 1564*T1^8*T2^13 - 3427*T1^9*T2^13 + 8525*T1^10*T2^13 - 
     9955*T1^11*T2^13 + 6011*T1^12*T2^13 - 574*T1^13*T2^13 - 
     2627*T1^14*T2^13 + 1870*T1^15*T2^13 - 436*T1^16*T2^13 - 6*T1^6*T2^14 + 
     287*T1^7*T2^14 - 1402*T1^8*T2^14 + 3049*T1^9*T2^14 - 3467*T1^10*T2^14 + 
     2012*T1^11*T2^14 + 757*T1^12*T2^14 - 2627*T1^13*T2^14 + 
     2690*T1^14*T2^14 - 1297*T1^15*T2^14 + 258*T1^16*T2^14 - 44*T1^7*T2^15 + 
     182*T1^8*T2^15 - 217*T1^9*T2^15 - 242*T1^10*T2^15 + 1069*T1^11*T2^15 - 
     1811*T1^12*T2^15 + 1870*T1^13*T2^15 - 1297*T1^14*T2^15 + 
     518*T1^15*T2^15 - 92*T1^16*T2^15 + 15*T1^8*T2^16 - 92*T1^9*T2^16 + 
     258*T1^10*T2^16 - 436*T1^11*T2^16 + 517*T1^12*T2^16 - 436*T1^13*T2^16 + 
     258*T1^14*T2^16 - 92*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 621] -> 
  {-((1 - 8*T + 22*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 22*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 66*T1^2 + 108*T1^3 - 123*T1^4 + 108*T1^5 - 
      66*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 401*T1^2*T2 - 
      514*T1^3*T2 + 409*T1^4*T2 - 207*T1^5*T2 - 50*T1^6*T2 + 161*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 66*T2^2 + 401*T1*T2^2 - 454*T1^2*T2^2 - 
      264*T1^3*T2^2 + 1431*T1^4*T2^2 - 2098*T1^5*T2^2 + 2267*T1^6*T2^2 - 
      1496*T1^7*T2^2 + 470*T1^8*T2^2 + 49*T1^9*T2^2 - 22*T1^10*T2^2 + 
      108*T2^3 - 514*T1*T2^3 - 264*T1^2*T2^3 + 2448*T1^3*T2^3 - 
      4353*T1^4*T2^3 + 4180*T1^5*T2^3 - 3108*T1^6*T2^3 + 563*T1^7*T2^3 + 
      1164*T1^8*T2^3 - 1056*T1^9*T2^3 + 174*T1^10*T2^3 - 123*T2^4 + 
      409*T1*T2^4 + 1431*T1^2*T2^4 - 4353*T1^3*T2^4 + 5146*T1^4*T2^4 - 
      2559*T1^5*T2^4 - 24*T1^6*T2^4 + 3793*T1^7*T2^4 - 4422*T1^8*T2^4 + 
      1839*T1^9*T2^4 + 431*T1^10*T2^4 - 327*T1^11*T2^4 + 41*T1^12*T2^4 + 
      108*T2^5 - 207*T1*T2^5 - 2098*T1^2*T2^5 + 4180*T1^3*T2^5 - 
      2559*T1^4*T2^5 - 1628*T1^5*T2^5 + 3510*T1^6*T2^5 - 5802*T1^7*T2^5 + 
      2752*T1^8*T2^5 + 2709*T1^9*T2^5 - 3860*T1^10*T2^5 + 1022*T1^11*T2^5 + 
      249*T1^12*T2^5 - 72*T1^13*T2^5 - 66*T2^6 - 50*T1*T2^6 + 
      2267*T1^2*T2^6 - 3108*T1^3*T2^6 - 24*T1^4*T2^6 + 3510*T1^5*T2^6 - 
      3522*T1^6*T2^6 + 3996*T1^7*T2^6 + 1270*T1^8*T2^6 - 5674*T1^9*T2^6 + 
      1800*T1^10*T2^6 + 3052*T1^11*T2^6 - 2241*T1^12*T2^6 + 46*T1^13*T2^6 + 
      66*T1^14*T2^6 + 24*T2^7 + 161*T1*T2^7 - 1496*T1^2*T2^7 + 
      563*T1^3*T2^7 + 3793*T1^4*T2^7 - 5802*T1^5*T2^7 + 3996*T1^6*T2^7 - 
      2044*T1^7*T2^7 - 3784*T1^8*T2^7 + 4508*T1^9*T2^7 + 3766*T1^10*T2^7 - 
      5811*T1^11*T2^7 + 751*T1^12*T2^7 + 1936*T1^13*T2^7 - 271*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 470*T1^2*T2^8 + 1164*T1^3*T2^8 - 
      4422*T1^4*T2^8 + 2752*T1^5*T2^8 + 1270*T1^6*T2^8 - 3784*T1^7*T2^8 + 
      5088*T1^8*T2^8 - 744*T1^9*T2^8 - 7514*T1^10*T2^8 + 2944*T1^11*T2^8 + 
      3938*T1^12*T2^8 - 3572*T1^13*T2^8 - 490*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 49*T1^2*T2^9 - 1056*T1^3*T2^9 + 
      1839*T1^4*T2^9 + 2709*T1^5*T2^9 - 5674*T1^6*T2^9 + 4508*T1^7*T2^9 - 
      744*T1^8*T2^9 - 2484*T1^9*T2^9 + 5020*T1^10*T2^9 + 3894*T1^11*T2^9 - 
      6895*T1^12*T2^9 + 2027*T1^13*T2^9 + 2376*T1^14*T2^9 - 383*T1^15*T2^9 - 
      40*T1^16*T2^9 - 22*T1^2*T2^10 + 174*T1^3*T2^10 + 431*T1^4*T2^10 - 
      3860*T1^5*T2^10 + 1800*T1^6*T2^10 + 3766*T1^7*T2^10 - 7514*T1^8*T2^10 + 
      5020*T1^9*T2^10 - 2722*T1^10*T2^10 - 5418*T1^11*T2^10 + 
      3624*T1^12*T2^10 + 2300*T1^13*T2^10 - 4077*T1^14*T2^10 + 
      270*T1^15*T2^10 + 110*T1^16*T2^10 - 327*T1^4*T2^11 + 1022*T1^5*T2^11 + 
      3052*T1^6*T2^11 - 5811*T1^7*T2^11 + 2944*T1^8*T2^11 + 3894*T1^9*T2^11 - 
      5418*T1^10*T2^11 + 7324*T1^11*T2^11 - 543*T1^12*T2^11 - 
      4988*T1^13*T2^11 + 4142*T1^14*T2^11 + 129*T1^15*T2^11 - 
      180*T1^16*T2^11 + 41*T1^4*T2^12 + 249*T1^5*T2^12 - 2241*T1^6*T2^12 + 
      751*T1^7*T2^12 + 3938*T1^8*T2^12 - 6895*T1^9*T2^12 + 3624*T1^10*T2^12 - 
      543*T1^11*T2^12 - 5630*T1^12*T2^12 + 6943*T1^13*T2^12 - 
      3241*T1^14*T2^12 - 487*T1^15*T2^12 + 205*T1^16*T2^12 - 72*T1^5*T2^13 + 
      46*T1^6*T2^13 + 1936*T1^7*T2^13 - 3572*T1^8*T2^13 + 2027*T1^9*T2^13 + 
      2300*T1^10*T2^13 - 4988*T1^11*T2^13 + 6943*T1^12*T2^13 - 
      4856*T1^13*T2^13 + 1144*T1^14*T2^13 + 734*T1^15*T2^13 - 
      180*T1^16*T2^13 + 66*T1^6*T2^14 - 271*T1^7*T2^14 - 490*T1^8*T2^14 + 
      2376*T1^9*T2^14 - 4077*T1^10*T2^14 + 4142*T1^11*T2^14 - 
      3241*T1^12*T2^14 + 1144*T1^13*T2^14 + 434*T1^14*T2^14 - 
      623*T1^15*T2^14 + 110*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      383*T1^9*T2^15 + 270*T1^10*T2^15 + 129*T1^11*T2^15 - 487*T1^12*T2^15 + 
      734*T1^13*T2^15 - 623*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 110*T1^10*T2^16 - 180*T1^11*T2^16 + 
      205*T1^12*T2^16 - 180*T1^13*T2^16 + 110*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 622] -> 
  {-((2 - 17*T + 47*T^2 - 65*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((-23 + 196*T1 - 542*T1^2 + 749*T1^3 - 542*T1^4 + 196*T1^5 - 23*T1^6 + 
      196*T2 - 1542*T1*T2 + 3530*T1^2*T2 - 3366*T1^3*T2 + 442*T1^4*T2 + 
      1354*T1^5*T2 - 896*T1^6*T2 + 128*T1^7*T2 - 542*T2^2 + 3530*T1*T2^2 - 
      3642*T1^2*T2^2 - 6694*T1^3*T2^2 + 18924*T1^4*T2^2 - 15718*T1^5*T2^2 + 
      4818*T1^6*T2^2 + 334*T1^7*T2^2 - 166*T1^8*T2^2 + 749*T2^3 - 
      3366*T1*T2^3 - 6694*T1^2*T2^3 + 34797*T1^3*T2^3 - 46963*T1^4*T2^3 + 
      17565*T1^5*T2^3 + 9791*T1^6*T2^3 - 9843*T1^7*T2^3 + 1666*T1^8*T2^3 - 
      31*T1^9*T2^3 - 542*T2^4 + 442*T1*T2^4 + 18924*T1^2*T2^4 - 
      46963*T1^3*T2^4 + 27609*T1^4*T2^4 + 39681*T1^5*T2^4 - 61551*T1^6*T2^4 + 
      28047*T1^7*T2^4 - 974*T1^8*T2^4 - 1530*T1^9*T2^4 + 210*T1^10*T2^4 + 
      196*T2^5 + 1354*T1*T2^5 - 15718*T1^2*T2^5 + 17565*T1^3*T2^5 + 
      39681*T1^4*T2^5 - 108836*T1^5*T2^5 + 83146*T1^6*T2^5 - 3230*T1^7*T2^5 - 
      25999*T1^8*T2^5 + 10931*T1^9*T2^5 - 550*T1^10*T2^5 - 144*T1^11*T2^5 - 
      23*T2^6 - 896*T1*T2^6 + 4818*T1^2*T2^6 + 9791*T1^3*T2^6 - 
      61551*T1^4*T2^6 + 83146*T1^5*T2^6 - 7632*T1^6*T2^6 - 77306*T1^7*T2^6 + 
      63247*T1^8*T2^6 - 12543*T1^9*T2^6 - 4870*T1^10*T2^6 + 1008*T1^11*T2^6 + 
      25*T1^12*T2^6 + 128*T1*T2^7 + 334*T1^2*T2^7 - 9843*T1^3*T2^7 + 
      28047*T1^4*T2^7 - 3230*T1^5*T2^7 - 77306*T1^6*T2^7 + 114676*T1^7*T2^7 - 
      46141*T1^8*T2^7 - 15517*T1^9*T2^7 + 16806*T1^10*T2^7 - 
      1570*T1^11*T2^7 - 212*T1^12*T2^7 - 166*T1^2*T2^8 + 1666*T1^3*T2^8 - 
      974*T1^4*T2^8 - 25999*T1^5*T2^8 + 63247*T1^6*T2^8 - 46141*T1^7*T2^8 - 
      25913*T1^8*T2^8 + 49011*T1^9*T2^8 - 20872*T1^10*T2^8 - 306*T1^11*T2^8 + 
      586*T1^12*T2^8 - 31*T1^3*T2^9 - 1530*T1^4*T2^9 + 10931*T1^5*T2^9 - 
      12543*T1^6*T2^9 - 15517*T1^7*T2^9 + 49011*T1^8*T2^9 - 37549*T1^9*T2^9 + 
      7782*T1^10*T2^9 + 3502*T1^11*T2^9 - 811*T1^12*T2^9 + 210*T1^4*T2^10 - 
      550*T1^5*T2^10 - 4870*T1^6*T2^10 + 16806*T1^7*T2^10 - 
      20872*T1^8*T2^10 + 7782*T1^9*T2^10 + 3590*T1^10*T2^10 - 
      3746*T1^11*T2^10 + 586*T1^12*T2^10 - 144*T1^5*T2^11 + 1008*T1^6*T2^11 - 
      1570*T1^7*T2^11 - 306*T1^8*T2^11 + 3502*T1^9*T2^11 - 3746*T1^10*T2^11 + 
      1654*T1^11*T2^11 - 212*T1^12*T2^11 + 25*T1^6*T2^12 - 212*T1^7*T2^12 + 
      586*T1^8*T2^12 - 811*T1^9*T2^12 + 586*T1^10*T2^12 - 212*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 623] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-336 + 1668*T1 - 3568*T1^2 + 4560*T1^3 - 3568*T1^4 + 1668*T1^5 - 
      336*T1^6 + 1668*T2 - 6936*T1*T2 + 11044*T1^2*T2 - 8370*T1^3*T2 - 
      530*T1^4*T2 + 6004*T1^5*T2 - 5016*T1^6*T2 + 1348*T1^7*T2 - 3568*T2^2 + 
      11044*T1*T2^2 - 6998*T1^2*T2^2 - 11603*T1^3*T2^2 + 29578*T1^4*T2^2 - 
      23643*T1^5*T2^2 + 6418*T1^6*T2^2 + 4164*T1^7*T2^2 - 2192*T1^8*T2^2 + 
      4560*T2^3 - 8370*T1*T2^3 - 11603*T1^2*T2^3 + 38330*T1^3*T2^3 - 
      40304*T1^4*T2^3 + 2396*T1^5*T2^3 + 23090*T1^6*T2^3 - 19343*T1^7*T2^3 + 
      1390*T1^8*T2^3 + 1920*T1^9*T2^3 - 3568*T2^4 - 530*T1*T2^4 + 
      29578*T1^2*T2^4 - 40304*T1^3*T2^4 + 8878*T1^4*T2^4 + 44192*T1^5*T2^4 - 
      41290*T1^6*T2^4 + 7656*T1^7*T2^4 + 15162*T1^8*T2^4 - 5490*T1^9*T2^4 - 
      816*T1^10*T2^4 + 1668*T2^5 + 6004*T1*T2^5 - 23643*T1^2*T2^5 + 
      2396*T1^3*T2^5 + 44192*T1^4*T2^5 - 65711*T1^5*T2^5 + 13119*T1^6*T2^5 + 
      30217*T1^7*T2^5 - 29784*T1^8*T2^5 + 1297*T1^9*T2^5 + 3684*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5016*T1*T2^6 + 6418*T1^2*T2^6 + 
      23090*T1^3*T2^6 - 41290*T1^4*T2^6 + 13119*T1^5*T2^6 + 50172*T1^6*T2^6 - 
      55831*T1^7*T2^6 + 19060*T1^8*T2^6 + 12650*T1^9*T2^6 - 6662*T1^10*T2^6 - 
      536*T1^11*T2^6 + 48*T1^12*T2^6 + 1348*T1*T2^7 + 4164*T1^2*T2^7 - 
      19343*T1^3*T2^7 + 7656*T1^4*T2^7 + 30217*T1^5*T2^7 - 55831*T1^6*T2^7 + 
      22999*T1^7*T2^7 + 16242*T1^8*T2^7 - 24524*T1^9*T2^7 + 5597*T1^10*T2^7 + 
      1844*T1^11*T2^7 - 252*T1^12*T2^7 - 2192*T1^2*T2^8 + 1390*T1^3*T2^8 + 
      15162*T1^4*T2^8 - 29784*T1^5*T2^8 + 19060*T1^6*T2^8 + 16242*T1^7*T2^8 - 
      31108*T1^8*T2^8 + 18176*T1^9*T2^8 + 746*T1^10*T2^8 - 3570*T1^11*T2^8 + 
      560*T1^12*T2^8 + 1920*T1^3*T2^9 - 5490*T1^4*T2^9 + 1297*T1^5*T2^9 + 
      12650*T1^6*T2^9 - 24524*T1^7*T2^9 + 18176*T1^8*T2^9 - 2590*T1^9*T2^9 - 
      6443*T1^10*T2^9 + 4270*T1^11*T2^9 - 720*T1^12*T2^9 - 816*T1^4*T2^10 + 
      3684*T1^5*T2^10 - 6662*T1^6*T2^10 + 5597*T1^7*T2^10 + 746*T1^8*T2^10 - 
      6443*T1^9*T2^10 + 6754*T1^10*T2^10 - 3196*T1^11*T2^10 + 
      560*T1^12*T2^10 + 68*T1^5*T2^11 - 536*T1^6*T2^11 + 1844*T1^7*T2^11 - 
      3570*T1^8*T2^11 + 4270*T1^9*T2^11 - 3196*T1^10*T2^11 + 
      1384*T1^11*T2^11 - 252*T1^12*T2^11 + 48*T1^6*T2^12 - 252*T1^7*T2^12 + 
      560*T1^8*T2^12 - 720*T1^9*T2^12 + 560*T1^10*T2^12 - 252*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 624] -> 
  {(4 - 18*T + 41*T^2 - 53*T^3 + 41*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-112 + 512*T1 - 1172*T1^2 + 1520*T1^3 - 1172*T1^4 + 512*T1^5 - 112*T1^6 + 
     512*T2 - 2114*T1*T2 + 4310*T1^2*T2 - 4540*T1^3*T2 + 2228*T1^4*T2 + 
     62*T1^5*T2 - 530*T1^6*T2 + 224*T1^7*T2 - 1172*T2^2 + 4310*T1*T2^2 - 
     7299*T1^2*T2^2 + 4351*T1^3*T2^2 + 3169*T1^4*T2^2 - 7129*T1^5*T2^2 + 
     4837*T1^6*T2^2 - 1594*T1^7*T2^2 + 140*T1^8*T2^2 + 1520*T2^3 - 
     4540*T1*T2^3 + 4351*T1^2*T2^3 + 5634*T1^3*T2^3 - 17166*T1^4*T2^3 + 
     14682*T1^5*T2^3 - 1656*T1^6*T2^3 - 5489*T1^7*T2^3 + 3956*T1^8*T2^3 - 
     1024*T1^9*T2^3 - 1172*T2^4 + 2228*T1*T2^4 + 3169*T1^2*T2^4 - 
     17166*T1^3*T2^4 + 23232*T1^4*T2^4 - 3690*T1^5*T2^4 - 19276*T1^6*T2^4 + 
     18662*T1^7*T2^4 - 4279*T1^8*T2^4 - 1948*T1^9*T2^4 + 1452*T1^10*T2^4 + 
     512*T2^5 + 62*T1*T2^5 - 7129*T1^2*T2^5 + 14682*T1^3*T2^5 - 
     3690*T1^4*T2^5 - 33483*T1^5*T2^5 + 48073*T1^6*T2^5 - 20459*T1^7*T2^5 - 
     9206*T1^8*T2^5 + 9271*T1^9*T2^5 - 2314*T1^10*T2^5 - 928*T1^11*T2^5 - 
     112*T2^6 - 530*T1*T2^6 + 4837*T1^2*T2^6 - 1656*T1^3*T2^6 - 
     19276*T1^4*T2^6 + 48073*T1^5*T2^6 - 27672*T1^6*T2^6 - 23373*T1^7*T2^6 + 
     40366*T1^8*T2^6 - 14124*T1^9*T2^6 - 1107*T1^10*T2^6 + 2926*T1^11*T2^6 + 
     272*T1^12*T2^6 + 224*T1*T2^7 - 1594*T1^2*T2^7 - 5489*T1^3*T2^7 + 
     18662*T1^4*T2^7 - 20459*T1^5*T2^7 - 23373*T1^6*T2^7 + 58183*T1^7*T2^7 - 
     37228*T1^8*T2^7 - 5226*T1^9*T2^7 + 10911*T1^10*T2^7 - 3970*T1^11*T2^7 - 
     1216*T1^12*T2^7 + 140*T1^2*T2^8 + 3956*T1^3*T2^8 - 4279*T1^4*T2^8 - 
     9206*T1^5*T2^8 + 40366*T1^6*T2^8 - 37228*T1^7*T2^8 - 2142*T1^8*T2^8 + 
     26622*T1^9*T2^8 - 11727*T1^10*T2^8 - 220*T1^11*T2^8 + 2764*T1^12*T2^8 - 
     1024*T1^3*T2^9 - 1948*T1^4*T2^9 + 9271*T1^5*T2^9 - 14124*T1^6*T2^9 - 
     5226*T1^7*T2^9 + 26622*T1^8*T2^9 - 21414*T1^9*T2^9 - 569*T1^10*T2^9 + 
     6548*T1^11*T2^9 - 3568*T1^12*T2^9 + 1452*T1^4*T2^10 - 2314*T1^5*T2^10 - 
     1107*T1^6*T2^10 + 10911*T1^7*T2^10 - 11727*T1^8*T2^10 - 569*T1^9*T2^10 + 
     11029*T1^10*T2^10 - 8218*T1^11*T2^10 + 2764*T1^12*T2^10 - 
     928*T1^5*T2^11 + 2926*T1^6*T2^11 - 3970*T1^7*T2^11 - 220*T1^8*T2^11 + 
     6548*T1^9*T2^11 - 8218*T1^10*T2^11 + 4510*T1^11*T2^11 - 
     1216*T1^12*T2^11 + 272*T1^6*T2^12 - 1216*T1^7*T2^12 + 2764*T1^8*T2^12 - 
     3568*T1^9*T2^12 + 2764*T1^10*T2^12 - 1216*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 625] -> 
  {-((3 - 19*T + 49*T^2 - 67*T^3 + 49*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((-78 + 493*T1 - 1267*T1^2 + 1728*T1^3 - 1267*T1^4 + 493*T1^5 - 78*T1^6 + 
      493*T2 - 2797*T1*T2 + 5985*T1^2*T2 - 5715*T1^3*T2 + 897*T1^4*T2 + 
      2109*T1^5*T2 - 1543*T1^6*T2 + 322*T1^7*T2 - 1267*T2^2 + 5985*T1*T2^2 - 
      8066*T1^2*T2^2 - 2788*T1^3*T2^2 + 18674*T1^4*T2^2 - 16900*T1^5*T2^2 + 
      5458*T1^6*T2^2 + 399*T1^7*T2^2 - 385*T1^8*T2^2 + 1728*T2^3 - 
      5715*T1*T2^3 - 2788*T1^2*T2^3 + 31988*T1^3*T2^3 - 48398*T1^4*T2^3 + 
      18594*T1^5*T2^3 + 10890*T1^6*T2^3 - 11853*T1^7*T2^3 + 2949*T1^8*T2^3 - 
      81*T1^9*T2^3 - 1267*T2^4 + 897*T1*T2^4 + 18674*T1^2*T2^4 - 
      48398*T1^3*T2^4 + 32129*T1^4*T2^4 + 38193*T1^5*T2^4 - 63031*T1^6*T2^4 + 
      29322*T1^7*T2^4 - 888*T1^8*T2^4 - 2637*T1^9*T2^4 + 497*T1^10*T2^4 + 
      493*T2^5 + 2109*T1*T2^5 - 16900*T1^2*T2^5 + 18594*T1^3*T2^5 + 
      38193*T1^4*T2^5 - 110803*T1^5*T2^5 + 86371*T1^6*T2^5 - 3506*T1^7*T2^5 - 
      26942*T1^8*T2^5 + 12353*T1^9*T2^5 - 855*T1^10*T2^5 - 362*T1^11*T2^5 - 
      78*T2^6 - 1543*T1*T2^6 + 5458*T1^2*T2^6 + 10890*T1^3*T2^6 - 
      63031*T1^4*T2^6 + 86371*T1^5*T2^6 - 10428*T1^6*T2^6 - 78727*T1^7*T2^6 + 
      63759*T1^8*T2^6 - 13210*T1^9*T2^6 - 4926*T1^10*T2^6 + 1763*T1^11*T2^6 + 
      84*T1^12*T2^6 + 322*T1*T2^7 + 399*T1^2*T2^7 - 11853*T1^3*T2^7 + 
      29322*T1^4*T2^7 - 3506*T1^5*T2^7 - 78727*T1^6*T2^7 + 118447*T1^7*T2^7 - 
      45205*T1^8*T2^7 - 16214*T1^9*T2^7 + 17400*T1^10*T2^7 - 
      2565*T1^11*T2^7 - 533*T1^12*T2^7 - 385*T1^2*T2^8 + 2949*T1^3*T2^8 - 
      888*T1^4*T2^8 - 26942*T1^5*T2^8 + 63759*T1^6*T2^8 - 45205*T1^7*T2^8 - 
      31401*T1^8*T2^8 + 50778*T1^9*T2^8 - 20450*T1^10*T2^8 - 585*T1^11*T2^8 + 
      1379*T1^12*T2^8 - 81*T1^3*T2^9 - 2637*T1^4*T2^9 + 12353*T1^5*T2^9 - 
      13210*T1^6*T2^9 - 16214*T1^7*T2^9 + 50778*T1^8*T2^9 - 34308*T1^9*T2^9 + 
      3288*T1^10*T2^9 + 6027*T1^11*T2^9 - 1890*T1^12*T2^9 + 497*T1^4*T2^10 - 
      855*T1^5*T2^10 - 4926*T1^6*T2^10 + 17400*T1^7*T2^10 - 
      20450*T1^8*T2^10 + 3288*T1^9*T2^10 + 8598*T1^10*T2^10 - 
      6441*T1^11*T2^10 + 1379*T1^12*T2^10 - 362*T1^5*T2^11 + 
      1763*T1^6*T2^11 - 2565*T1^7*T2^11 - 585*T1^8*T2^11 + 6027*T1^9*T2^11 - 
      6441*T1^10*T2^11 + 3017*T1^11*T2^11 - 533*T1^12*T2^11 + 84*T1^6*T2^12 - 
      533*T1^7*T2^12 + 1379*T1^8*T2^12 - 1890*T1^9*T2^12 + 1379*T1^10*T2^12 - 
      533*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 626] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6))/
     T^4), -((-41 + 244*T1 - 687*T1^2 + 1228*T1^3 - 1467*T1^4 + 1228*T1^5 - 
      687*T1^6 + 244*T1^7 - 41*T1^8 + 244*T2 - 1258*T1*T2 + 2932*T1^2*T2 - 
      4047*T1^3*T2 + 2893*T1^4*T2 - 323*T1^5*T2 - 1767*T1^6*T2 + 
      1828*T1^7*T2 - 922*T1^8*T2 + 196*T1^9*T2 - 687*T2^2 + 2932*T1*T2^2 - 
      5030*T1^2*T2^2 + 3585*T1^3*T2^2 + 3328*T1^4*T2^2 - 8738*T1^5*T2^2 + 
      8632*T1^6*T2^2 - 3079*T1^7*T2^2 - 678*T1^8*T2^2 + 1300*T1^9*T2^2 - 
      415*T1^10*T2^2 + 1228*T2^3 - 4047*T1*T2^3 + 3585*T1^2*T2^3 + 
      3962*T1^3*T2^3 - 16086*T1^4*T2^3 + 15392*T1^5*T2^3 - 4510*T1^6*T2^3 - 
      8436*T1^7*T2^3 + 8252*T1^8*T2^3 - 3147*T1^9*T2^3 - 471*T1^10*T2^3 + 
      496*T1^11*T2^3 - 1467*T2^4 + 2893*T1*T2^4 + 3328*T1^2*T2^4 - 
      16086*T1^3*T2^4 + 24613*T1^4*T2^4 - 6144*T1^5*T2^4 - 14231*T1^6*T2^4 + 
      22336*T1^7*T2^4 - 5659*T1^8*T2^4 - 4862*T1^9*T2^4 + 5616*T1^10*T2^4 - 
      1187*T1^11*T2^4 - 299*T1^12*T2^4 + 1228*T2^5 - 323*T1*T2^5 - 
      8738*T1^2*T2^5 + 15392*T1^3*T2^5 - 6144*T1^4*T2^5 - 29562*T1^5*T2^5 + 
      37527*T1^6*T2^5 - 18789*T1^7*T2^5 - 17482*T1^8*T2^5 + 19486*T1^9*T2^5 - 
      7714*T1^10*T2^5 - 2090*T1^11*T2^5 + 1741*T1^12*T2^5 + 8*T1^13*T2^5 - 
      687*T2^6 - 1767*T1*T2^6 + 8632*T1^2*T2^6 - 4510*T1^3*T2^6 - 
      14231*T1^4*T2^6 + 37527*T1^5*T2^6 - 7430*T1^6*T2^6 - 33026*T1^7*T2^6 + 
      55750*T1^8*T2^6 - 22709*T1^9*T2^6 - 4207*T1^10*T2^6 + 
      10586*T1^11*T2^6 - 2704*T1^12*T2^6 - 807*T1^13*T2^6 + 129*T1^14*T2^6 + 
      244*T2^7 + 1828*T1*T2^7 - 3079*T1^2*T2^7 - 8436*T1^3*T2^7 + 
      22336*T1^4*T2^7 - 18789*T1^5*T2^7 - 33026*T1^6*T2^7 + 57641*T1^7*T2^7 - 
      39459*T1^8*T2^7 - 16053*T1^9*T2^7 + 29687*T1^10*T2^7 - 
      14694*T1^11*T2^7 - 1790*T1^12*T2^7 + 3245*T1^13*T2^7 - 236*T1^14*T2^7 - 
      92*T1^15*T2^7 - 41*T2^8 - 922*T1*T2^8 - 678*T1^2*T2^8 + 
      8252*T1^3*T2^8 - 5659*T1^4*T2^8 - 17482*T1^5*T2^8 + 55750*T1^6*T2^8 - 
      39459*T1^7*T2^8 - 10332*T1^8*T2^8 + 51467*T1^9*T2^8 - 
      32220*T1^10*T2^8 - 282*T1^11*T2^8 + 11885*T1^12*T2^8 - 
      4928*T1^13*T2^8 - 710*T1^14*T2^8 + 422*T1^15*T2^8 + 23*T1^16*T2^8 + 
      196*T1*T2^9 + 1300*T1^2*T2^9 - 3147*T1^3*T2^9 - 4862*T1^4*T2^9 + 
      19486*T1^5*T2^9 - 22709*T1^6*T2^9 - 16053*T1^7*T2^9 + 51467*T1^8*T2^9 - 
      45633*T1^9*T2^9 + 920*T1^10*T2^9 + 25767*T1^11*T2^9 - 
      17544*T1^12*T2^9 + 1784*T1^13*T2^9 + 3177*T1^14*T2^9 - 764*T1^15*T2^9 - 
      140*T1^16*T2^9 - 415*T1^2*T2^10 - 471*T1^3*T2^10 + 5616*T1^4*T2^10 - 
      7714*T1^5*T2^10 - 4207*T1^6*T2^10 + 29687*T1^7*T2^10 - 
      32220*T1^8*T2^10 + 920*T1^9*T2^10 + 30960*T1^10*T2^10 - 
      30549*T1^11*T2^10 + 5817*T1^12*T2^10 + 7382*T1^13*T2^10 - 
      5720*T1^14*T2^10 + 489*T1^15*T2^10 + 401*T1^16*T2^10 + 496*T1^3*T2^11 - 
      1187*T1^4*T2^11 - 2090*T1^5*T2^11 + 10586*T1^6*T2^11 - 
      14694*T1^7*T2^11 - 282*T1^8*T2^11 + 25767*T1^9*T2^11 - 
      30549*T1^10*T2^11 + 11798*T1^11*T2^11 + 10936*T1^12*T2^11 - 
      12520*T1^13*T2^11 + 4558*T1^14*T2^11 + 877*T1^15*T2^11 - 
      724*T1^16*T2^11 - 299*T1^4*T2^12 + 1741*T1^5*T2^12 - 2704*T1^6*T2^12 - 
      1790*T1^7*T2^12 + 11885*T1^8*T2^12 - 17544*T1^9*T2^12 + 
      5817*T1^10*T2^12 + 10936*T1^11*T2^12 - 18387*T1^12*T2^12 + 
      9434*T1^13*T2^12 - 416*T1^14*T2^12 - 2339*T1^15*T2^12 + 
      869*T1^16*T2^12 + 8*T1^5*T2^13 - 807*T1^6*T2^13 + 3245*T1^7*T2^13 - 
      4928*T1^8*T2^13 + 1784*T1^9*T2^13 + 7382*T1^10*T2^13 - 
      12520*T1^11*T2^13 + 9434*T1^12*T2^13 - 638*T1^13*T2^13 - 
      3487*T1^14*T2^13 + 2769*T1^15*T2^13 - 724*T1^16*T2^13 + 
      129*T1^6*T2^14 - 236*T1^7*T2^14 - 710*T1^8*T2^14 + 3177*T1^9*T2^14 - 
      5720*T1^10*T2^14 + 4558*T1^11*T2^14 - 416*T1^12*T2^14 - 
      3487*T1^13*T2^14 + 3642*T1^14*T2^14 - 1868*T1^15*T2^14 + 
      401*T1^16*T2^14 - 92*T1^7*T2^15 + 422*T1^8*T2^15 - 764*T1^9*T2^15 + 
      489*T1^10*T2^15 + 877*T1^11*T2^15 - 2339*T1^12*T2^15 + 
      2769*T1^13*T2^15 - 1868*T1^14*T2^15 + 758*T1^15*T2^15 - 
      140*T1^16*T2^15 + 23*T1^8*T2^16 - 140*T1^9*T2^16 + 401*T1^10*T2^16 - 
      724*T1^11*T2^16 + 869*T1^12*T2^16 - 724*T1^13*T2^16 + 401*T1^14*T2^16 - 
      140*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 627] -> 
  {(1 - 8*T + 26*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   ((1 - 8*T1 + 26*T1^2 - 49*T1^3 + 61*T1^4 - 49*T1^5 + 26*T1^6 - 8*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 24*T1*T2 + 56*T1^2*T2^2 - 73*T1^3*T2^3 + 
      56*T1^4*T2^4 - 24*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 8*T2 + 26*T2^2 - 
      49*T2^3 + 61*T2^4 - 49*T2^5 + 26*T2^6 - 8*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 628] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (-117 + 696*T1 - 1766*T1^2 + 2333*T1^3 - 1766*T1^4 + 696*T1^5 - 117*T1^6 + 
     696*T2 - 3612*T1*T2 + 7355*T1^2*T2 - 5871*T1^3*T2 - 93*T1^4*T2 + 
     3899*T1^5*T2 - 2478*T1^6*T2 + 534*T1^7*T2 - 1766*T2^2 + 7355*T1*T2^2 - 
     8797*T1^2*T2^2 - 7040*T1^3*T2^2 + 22571*T1^4*T2^2 - 18908*T1^5*T2^2 + 
     3071*T1^6*T2^2 + 2387*T1^7*T2^2 - 938*T1^8*T2^2 + 2333*T2^3 - 
     5871*T1*T2^3 - 7040*T1^2*T2^3 + 42779*T1^3*T2^3 - 46000*T1^4*T2^3 + 
     7460*T1^5*T2^3 + 24923*T1^6*T2^3 - 14906*T1^7*T2^3 + 1527*T1^8*T2^3 + 
     686*T1^9*T2^3 - 1766*T2^4 - 93*T1*T2^4 + 22571*T1^2*T2^4 - 
     46000*T1^3*T2^4 - 2889*T1^4*T2^4 + 71157*T1^5*T2^4 - 73581*T1^6*T2^4 + 
     14756*T1^7*T2^4 + 8435*T1^8*T2^4 - 3441*T1^9*T2^4 - 110*T1^10*T2^4 + 
     696*T2^5 + 3899*T1*T2^5 - 18908*T1^2*T2^5 + 7460*T1^3*T2^5 + 
     71157*T1^4*T2^5 - 105160*T1^5*T2^5 + 41776*T1^6*T2^5 + 38129*T1^7*T2^5 - 
     31408*T1^8*T2^5 + 4966*T1^9*T2^5 + 1307*T1^10*T2^5 - 114*T1^11*T2^5 - 
     117*T2^6 - 2478*T1*T2^6 + 3071*T1^2*T2^6 + 24923*T1^3*T2^6 - 
     73581*T1^4*T2^6 + 41776*T1^5*T2^6 + 47796*T1^6*T2^6 - 85444*T1^7*T2^6 + 
     31823*T1^8*T2^6 + 5069*T1^9*T2^6 - 5077*T1^10*T2^6 + 438*T1^11*T2^6 + 
     45*T1^12*T2^6 + 534*T1*T2^7 + 2387*T1^2*T2^7 - 14906*T1^3*T2^7 + 
     14756*T1^4*T2^7 + 38129*T1^5*T2^7 - 85444*T1^6*T2^7 + 61492*T1^7*T2^7 + 
     5101*T1^8*T2^7 - 24112*T1^9*T2^7 + 8968*T1^10*T2^7 - 205*T1^11*T2^7 - 
     276*T1^12*T2^7 - 938*T1^2*T2^8 + 1527*T1^3*T2^8 + 8435*T1^4*T2^8 - 
     31408*T1^5*T2^8 + 31823*T1^6*T2^8 + 5101*T1^7*T2^8 - 38869*T1^8*T2^8 + 
     29348*T1^9*T2^8 - 5701*T1^10*T2^8 - 1821*T1^11*T2^8 + 718*T1^12*T2^8 + 
     686*T1^3*T2^9 - 3441*T1^4*T2^9 + 4966*T1^5*T2^9 + 5069*T1^6*T2^9 - 
     24112*T1^7*T2^9 + 29348*T1^8*T2^9 - 12787*T1^9*T2^9 - 2900*T1^10*T2^9 + 
     3957*T1^11*T2^9 - 961*T1^12*T2^9 - 110*T1^4*T2^10 + 1307*T1^5*T2^10 - 
     5077*T1^6*T2^10 + 8968*T1^7*T2^10 - 5701*T1^8*T2^10 - 2900*T1^9*T2^10 + 
     6791*T1^10*T2^10 - 3661*T1^11*T2^10 + 718*T1^12*T2^10 - 114*T1^5*T2^11 + 
     438*T1^6*T2^11 - 205*T1^7*T2^11 - 1821*T1^8*T2^11 + 3957*T1^9*T2^11 - 
     3661*T1^10*T2^11 + 1572*T1^11*T2^11 - 276*T1^12*T2^11 + 45*T1^6*T2^12 - 
     276*T1^7*T2^12 + 718*T1^8*T2^12 - 961*T1^9*T2^12 + 718*T1^10*T2^12 - 
     276*T1^11*T2^12 + 45*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 629] -> 
  {(1 - 8*T + 31*T^2 - 66*T^3 + 85*T^4 - 66*T^5 + 31*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 124*T1^2 + 264*T1^3 - 340*T1^4 + 264*T1^5 - 124*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 800*T1^2*T2 - 1369*T1^3*T2 + 
     1137*T1^4*T2 - 71*T1^5*T2 - 593*T1^6*T2 + 488*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 124*T2^2 + 800*T1*T2^2 - 2369*T1^2*T2^2 + 2727*T1^3*T2^2 + 
     231*T1^4*T2^2 - 4087*T1^5*T2^2 + 3579*T1^6*T2^2 - 869*T1^7*T2^2 - 
     509*T1^8*T2^2 + 304*T1^9*T2^2 - 62*T1^10*T2^2 + 264*T2^3 - 
     1369*T1*T2^3 + 2727*T1^2*T2^3 + 1752*T1^3*T2^3 - 11917*T1^4*T2^3 + 
     15221*T1^5*T2^3 - 3021*T1^6*T2^3 - 6275*T1^7*T2^3 + 5346*T1^8*T2^3 - 
     1179*T1^9*T2^3 - 33*T1^10*T2^3 + 66*T1^11*T2^3 - 340*T2^4 + 
     1137*T1*T2^4 + 231*T1^2*T2^4 - 11917*T1^3*T2^4 + 20526*T1^4*T2^4 - 
     1604*T1^5*T2^4 - 35126*T1^6*T2^4 + 35700*T1^7*T2^4 - 12162*T1^8*T2^4 - 
     2677*T1^9*T2^4 + 2323*T1^10*T2^4 - 527*T1^11*T2^4 + 264*T2^5 - 
     71*T1*T2^5 - 4087*T1^2*T2^5 + 15221*T1^3*T2^5 - 1604*T1^4*T2^5 - 
     51890*T1^5*T2^5 + 87940*T1^6*T2^5 - 35996*T1^7*T2^5 - 21038*T1^8*T2^5 + 
     27232*T1^9*T2^5 - 7825*T1^10*T2^5 - 43*T1^11*T2^5 + 529*T1^12*T2^5 - 
     66*T1^13*T2^5 - 124*T2^6 - 593*T1*T2^6 + 3579*T1^2*T2^6 - 
     3021*T1^3*T2^6 - 35126*T1^4*T2^6 + 87940*T1^5*T2^6 - 62353*T1^6*T2^6 - 
     59381*T1^7*T2^6 + 105311*T1^8*T2^6 - 52588*T1^9*T2^6 - 608*T1^10*T2^6 + 
     8015*T1^11*T2^6 - 2281*T1^12*T2^6 + 31*T1^13*T2^6 + 62*T1^14*T2^6 + 
     32*T2^7 + 488*T1*T2^7 - 869*T1^2*T2^7 - 6275*T1^3*T2^7 + 
     35700*T1^4*T2^7 - 35996*T1^5*T2^7 - 59381*T1^6*T2^7 + 174006*T1^7*T2^7 - 
     125574*T1^8*T2^7 - 4701*T1^9*T2^7 + 54756*T1^10*T2^7 - 
     27008*T1^11*T2^7 + 2475*T1^12*T2^7 + 1177*T1^13*T2^7 - 304*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 509*T1^2*T2^8 + 5346*T1^3*T2^8 - 
     12162*T1^4*T2^8 - 21038*T1^5*T2^8 + 105311*T1^6*T2^8 - 
     125574*T1^7*T2^8 - 9804*T1^8*T2^8 + 133378*T1^9*T2^8 - 
     102185*T1^10*T2^8 + 18730*T1^11*T2^8 + 12642*T1^12*T2^8 - 
     5318*T1^13*T2^8 + 511*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 304*T1^2*T2^9 - 1179*T1^3*T2^9 - 2677*T1^4*T2^9 + 
     27232*T1^5*T2^9 - 52588*T1^6*T2^9 - 4701*T1^7*T2^9 + 133378*T1^8*T2^9 - 
     166202*T1^9*T2^9 + 49979*T1^10*T2^9 + 38164*T1^11*T2^9 - 
     35476*T1^12*T2^9 + 6073*T1^13*T2^9 + 867*T1^14*T2^9 - 488*T1^15*T2^9 - 
     32*T1^16*T2^9 - 62*T1^2*T2^10 - 33*T1^3*T2^10 + 2323*T1^4*T2^10 - 
     7825*T1^5*T2^10 - 608*T1^6*T2^10 + 54756*T1^7*T2^10 - 
     102185*T1^8*T2^10 + 49979*T1^9*T2^10 + 65479*T1^10*T2^10 - 
     85772*T1^11*T2^10 + 33910*T1^12*T2^10 + 3211*T1^13*T2^10 - 
     3537*T1^14*T2^10 + 591*T1^15*T2^10 + 124*T1^16*T2^10 + 66*T1^3*T2^11 - 
     527*T1^4*T2^11 - 43*T1^5*T2^11 + 8015*T1^6*T2^11 - 27008*T1^7*T2^11 + 
     18730*T1^8*T2^11 + 38164*T1^9*T2^11 - 85772*T1^10*T2^11 + 
     49582*T1^11*T2^11 + 1828*T1^12*T2^11 - 15031*T1^13*T2^11 + 
     4001*T1^14*T2^11 + 73*T1^15*T2^11 - 264*T1^16*T2^11 + 529*T1^5*T2^12 - 
     2281*T1^6*T2^12 + 2475*T1^7*T2^12 + 12642*T1^8*T2^12 - 
     35476*T1^9*T2^12 + 33910*T1^10*T2^12 + 1828*T1^11*T2^12 - 
     20046*T1^12*T2^12 + 11715*T1^13*T2^12 - 189*T1^14*T2^12 - 
     1135*T1^15*T2^12 + 340*T1^16*T2^12 - 66*T1^5*T2^13 + 31*T1^6*T2^13 + 
     1177*T1^7*T2^13 - 5318*T1^8*T2^13 + 6073*T1^9*T2^13 + 3211*T1^10*T2^13 - 
     15031*T1^11*T2^13 + 11715*T1^12*T2^13 - 1724*T1^13*T2^13 - 
     2729*T1^14*T2^13 + 1367*T1^15*T2^13 - 264*T1^16*T2^13 + 62*T1^6*T2^14 - 
     304*T1^7*T2^14 + 511*T1^8*T2^14 + 867*T1^9*T2^14 - 3537*T1^10*T2^14 + 
     4001*T1^11*T2^14 - 189*T1^12*T2^14 - 2729*T1^13*T2^14 + 
     2371*T1^14*T2^14 - 800*T1^15*T2^14 + 124*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 488*T1^9*T2^15 + 591*T1^10*T2^15 + 73*T1^11*T2^15 - 
     1135*T1^12*T2^15 + 1367*T1^13*T2^15 - 800*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     124*T1^10*T2^16 - 264*T1^11*T2^16 + 340*T1^12*T2^16 - 264*T1^13*T2^16 + 
     124*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 630] -> 
  {-((1 - 8*T + 27*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 135*T1^2 + 260*T1^3 - 315*T1^4 + 260*T1^5 - 
      135*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 824*T1^2*T2 - 
      1215*T1^3*T2 + 855*T1^4*T2 - 65*T1^5*T2 - 583*T1^6*T2 + 544*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 135*T2^2 + 824*T1*T2^2 - 1683*T1^2*T2^2 + 
      769*T1^3*T2^2 + 2585*T1^4*T2^2 - 4845*T1^5*T2^2 + 4529*T1^6*T2^2 - 
      1607*T1^7*T2^2 - 279*T1^8*T2^2 + 392*T1^9*T2^2 - 81*T1^10*T2^2 + 
      260*T2^3 - 1215*T1*T2^3 + 769*T1^2*T2^3 + 4720*T1^3*T2^3 - 
      11859*T1^4*T2^3 + 10013*T1^5*T2^3 - 2503*T1^6*T2^3 - 5871*T1^7*T2^3 + 
      5428*T1^8*T2^3 - 1499*T1^9*T2^3 - 183*T1^10*T2^3 + 104*T1^11*T2^3 - 
      315*T2^4 + 855*T1*T2^4 + 2585*T1^2*T2^4 - 11859*T1^3*T2^4 + 
      14011*T1^4*T2^4 + 3787*T1^5*T2^4 - 18933*T1^6*T2^4 + 22651*T1^7*T2^4 - 
      6973*T1^8*T2^4 - 3331*T1^9*T2^4 + 2733*T1^10*T2^4 - 329*T1^11*T2^4 - 
      63*T1^12*T2^4 + 260*T2^5 - 65*T1*T2^5 - 4845*T1^2*T2^5 + 
      10013*T1^3*T2^5 + 3787*T1^4*T2^5 - 34596*T1^5*T2^5 + 35898*T1^6*T2^5 - 
      15214*T1^7*T2^5 - 17252*T1^8*T2^5 + 18403*T1^9*T2^5 - 4655*T1^10*T2^5 - 
      1173*T1^11*T2^5 + 503*T1^12*T2^5 - 135*T2^6 - 583*T1*T2^6 + 
      4529*T1^2*T2^6 - 2503*T1^3*T2^6 - 18933*T1^4*T2^6 + 35898*T1^5*T2^6 - 
      3064*T1^6*T2^6 - 33404*T1^7*T2^6 + 50404*T1^8*T2^6 - 19046*T1^9*T2^6 - 
      6803*T1^10*T2^6 + 6785*T1^11*T2^6 - 1007*T1^12*T2^6 - 215*T1^13*T2^6 + 
      27*T1^14*T2^6 + 40*T2^7 + 544*T1*T2^7 - 1607*T1^2*T2^7 - 
      5871*T1^3*T2^7 + 22651*T1^4*T2^7 - 15214*T1^5*T2^7 - 33404*T1^6*T2^7 + 
      50958*T1^7*T2^7 - 30330*T1^8*T2^7 - 17924*T1^9*T2^7 + 
      28234*T1^10*T2^7 - 8957*T1^11*T2^7 - 1699*T1^12*T2^7 + 
      1309*T1^13*T2^7 - 88*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 279*T1^2*T2^8 + 5428*T1^3*T2^8 - 6973*T1^4*T2^8 - 
      17252*T1^5*T2^8 + 50404*T1^6*T2^8 - 30330*T1^7*T2^8 - 15084*T1^8*T2^8 + 
      45974*T1^9*T2^8 - 26508*T1^10*T2^8 - 4500*T1^11*T2^8 + 
      9031*T1^12*T2^8 - 2540*T1^13*T2^8 - 219*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 392*T1^2*T2^9 - 1499*T1^3*T2^9 - 
      3331*T1^4*T2^9 + 18403*T1^5*T2^9 - 19046*T1^6*T2^9 - 17924*T1^7*T2^9 + 
      45974*T1^8*T2^9 - 35314*T1^9*T2^9 - 2444*T1^10*T2^9 + 
      24402*T1^11*T2^9 - 13205*T1^12*T2^9 + 841*T1^13*T2^9 + 
      1417*T1^14*T2^9 - 240*T1^15*T2^9 - 24*T1^16*T2^9 - 81*T1^2*T2^10 - 
      183*T1^3*T2^10 + 2733*T1^4*T2^10 - 4655*T1^5*T2^10 - 6803*T1^6*T2^10 + 
      28234*T1^7*T2^10 - 26508*T1^8*T2^10 - 2444*T1^9*T2^10 + 
      26960*T1^10*T2^10 - 26710*T1^11*T2^10 + 5327*T1^12*T2^10 + 
      4633*T1^13*T2^10 - 2803*T1^14*T2^10 + 185*T1^15*T2^10 + 
      81*T1^16*T2^10 + 104*T1^3*T2^11 - 329*T1^4*T2^11 - 1173*T1^5*T2^11 + 
      6785*T1^6*T2^11 - 8957*T1^7*T2^11 - 4500*T1^8*T2^11 + 
      24402*T1^9*T2^11 - 26710*T1^10*T2^11 + 12844*T1^11*T2^11 + 
      5659*T1^12*T2^11 - 7883*T1^13*T2^11 + 2499*T1^14*T2^11 + 
      239*T1^15*T2^11 - 156*T1^16*T2^11 - 63*T1^4*T2^12 + 503*T1^5*T2^12 - 
      1007*T1^6*T2^12 - 1699*T1^7*T2^12 + 9031*T1^8*T2^12 - 
      13205*T1^9*T2^12 + 5327*T1^10*T2^12 + 5659*T1^11*T2^12 - 
      11953*T1^12*T2^12 + 6829*T1^13*T2^12 - 859*T1^14*T2^12 - 
      681*T1^15*T2^12 + 189*T1^16*T2^12 - 215*T1^6*T2^13 + 1309*T1^7*T2^13 - 
      2540*T1^8*T2^13 + 841*T1^9*T2^13 + 4633*T1^10*T2^13 - 
      7883*T1^11*T2^13 + 6829*T1^12*T2^13 - 1832*T1^13*T2^13 - 
      959*T1^14*T2^13 + 817*T1^15*T2^13 - 156*T1^16*T2^13 + 27*T1^6*T2^14 - 
      88*T1^7*T2^14 - 219*T1^8*T2^14 + 1417*T1^9*T2^14 - 2803*T1^10*T2^14 + 
      2499*T1^11*T2^14 - 859*T1^12*T2^14 - 959*T1^13*T2^14 + 
      1185*T1^14*T2^14 - 520*T1^15*T2^14 + 81*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 240*T1^9*T2^15 + 185*T1^10*T2^15 + 239*T1^11*T2^15 - 
      681*T1^12*T2^15 + 817*T1^13*T2^15 - 520*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 81*T1^10*T2^16 - 
      156*T1^11*T2^16 + 189*T1^12*T2^16 - 156*T1^13*T2^16 + 81*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 631] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((-192 + 1060*T1 - 2516*T1^2 + 3344*T1^3 - 2516*T1^4 + 1060*T1^5 - 
      192*T1^6 + 1060*T2 - 5138*T1*T2 + 9958*T1^2*T2 - 9138*T1^3*T2 + 
      1510*T1^4*T2 + 3446*T1^5*T2 - 2850*T1^6*T2 + 708*T1^7*T2 - 2516*T2^2 + 
      9958*T1*T2^2 - 12163*T1^2*T2^2 - 2834*T1^3*T2^2 + 24017*T1^4*T2^2 - 
      22386*T1^5*T2^2 + 7805*T1^6*T2^2 + 806*T1^7*T2^2 - 852*T1^8*T2^2 + 
      3344*T2^3 - 9138*T1*T2^3 - 2834*T1^2*T2^3 + 37590*T1^3*T2^3 - 
      56136*T1^4*T2^3 + 21016*T1^5*T2^3 + 13378*T1^6*T2^3 - 16146*T1^7*T2^3 + 
      4502*T1^8*T2^3 + 32*T1^9*T2^3 - 2516*T2^4 + 1510*T1*T2^4 + 
      24017*T1^2*T2^4 - 56136*T1^3*T2^4 + 36098*T1^4*T2^4 + 41304*T1^5*T2^4 - 
      66658*T1^6*T2^4 + 32184*T1^7*T2^4 + 489*T1^8*T2^4 - 4650*T1^9*T2^4 + 
      812*T1^10*T2^4 + 1060*T2^5 + 3446*T1*T2^5 - 22386*T1^2*T2^5 + 
      21016*T1^3*T2^5 + 41304*T1^4*T2^5 - 112788*T1^5*T2^5 + 
      78832*T1^6*T2^5 + 3448*T1^7*T2^5 - 33800*T1^8*T2^5 + 15886*T1^9*T2^5 - 
      602*T1^10*T2^5 - 700*T1^11*T2^5 - 192*T2^6 - 2850*T1*T2^6 + 
      7805*T1^2*T2^6 + 13378*T1^3*T2^6 - 66658*T1^4*T2^6 + 78832*T1^5*T2^6 + 
      7152*T1^6*T2^6 - 84528*T1^7*T2^6 + 64334*T1^8*T2^6 - 11550*T1^9*T2^6 - 
      8163*T1^10*T2^6 + 2782*T1^11*T2^6 + 192*T1^12*T2^6 + 708*T1*T2^7 + 
      806*T1^2*T2^7 - 16146*T1^3*T2^7 + 32184*T1^4*T2^7 + 3448*T1^5*T2^7 - 
      84528*T1^6*T2^7 + 107092*T1^7*T2^7 - 34408*T1^8*T2^7 - 
      22632*T1^9*T2^7 + 22126*T1^10*T2^7 - 3242*T1^11*T2^7 - 
      1052*T1^12*T2^7 - 852*T1^2*T2^8 + 4502*T1^3*T2^8 + 489*T1^4*T2^8 - 
      33800*T1^5*T2^8 + 64334*T1^6*T2^8 - 34408*T1^7*T2^8 - 38422*T1^8*T2^8 + 
      54520*T1^9*T2^8 - 23039*T1^10*T2^8 - 1658*T1^11*T2^8 + 
      2476*T1^12*T2^8 + 32*T1^3*T2^9 - 4650*T1^4*T2^9 + 15886*T1^5*T2^9 - 
      11550*T1^6*T2^9 - 22632*T1^7*T2^9 + 54520*T1^8*T2^9 - 35762*T1^9*T2^9 + 
      2574*T1^10*T2^9 + 8990*T1^11*T2^9 - 3280*T1^12*T2^9 + 812*T1^4*T2^10 - 
      602*T1^5*T2^10 - 8163*T1^6*T2^10 + 22126*T1^7*T2^10 - 
      23039*T1^8*T2^10 + 2574*T1^9*T2^10 + 11805*T1^10*T2^10 - 
      9754*T1^11*T2^10 + 2476*T1^12*T2^10 - 700*T1^5*T2^11 + 
      2782*T1^6*T2^11 - 3242*T1^7*T2^11 - 1658*T1^8*T2^11 + 8990*T1^9*T2^11 - 
      9754*T1^10*T2^11 + 5070*T1^11*T2^11 - 1052*T1^12*T2^11 + 
      192*T1^6*T2^12 - 1052*T1^7*T2^12 + 2476*T1^8*T2^12 - 3280*T1^9*T2^12 + 
      2476*T1^10*T2^12 - 1052*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 632] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-208 + 884*T1 - 1720*T1^2 + 2144*T1^3 - 1720*T1^4 + 884*T1^5 - 
      208*T1^6 + 884*T2 - 3146*T1*T2 + 4709*T1^2*T2 - 4045*T1^3*T2 + 
      987*T1^4*T2 + 1309*T1^5*T2 - 1718*T1^6*T2 + 612*T1^7*T2 - 1720*T2^2 + 
      4709*T1*T2^2 - 3862*T1^2*T2^2 - 797*T1^3*T2^2 + 6850*T1^4*T2^2 - 
      7133*T1^5*T2^2 + 3794*T1^6*T2^2 + 221*T1^7*T2^2 - 664*T1^8*T2^2 + 
      2144*T2^3 - 4045*T1*T2^3 - 797*T1^2*T2^3 + 7325*T1^3*T2^3 - 
      11496*T1^4*T2^3 + 5418*T1^5*T2^3 + 1415*T1^6*T2^3 - 5252*T1^7*T2^3 + 
      2075*T1^8*T2^3 + 176*T1^9*T2^3 - 1720*T2^4 + 987*T1*T2^4 + 
      6850*T1^2*T2^4 - 11496*T1^3*T2^4 + 10512*T1^4*T2^4 + 1270*T1^5*T2^4 - 
      7632*T1^6*T2^4 + 7282*T1^7*T2^4 + 576*T1^8*T2^4 - 2413*T1^9*T2^4 + 
      392*T1^10*T2^4 + 884*T2^5 + 1309*T1*T2^5 - 7133*T1^2*T2^5 + 
      5418*T1^3*T2^5 + 1270*T1^4*T2^5 - 12440*T1^5*T2^5 + 10672*T1^6*T2^5 - 
      1865*T1^7*T2^5 - 7768*T1^8*T2^5 + 4846*T1^9*T2^5 + 357*T1^10*T2^5 - 
      476*T1^11*T2^5 - 208*T2^6 - 1718*T1*T2^6 + 3794*T1^2*T2^6 + 
      1415*T1^3*T2^6 - 7632*T1^4*T2^6 + 10672*T1^5*T2^6 - 564*T1^6*T2^6 - 
      9708*T1^7*T2^6 + 11302*T1^8*T2^6 - 1399*T1^9*T2^6 - 3978*T1^10*T2^6 + 
      1274*T1^11*T2^6 + 176*T1^12*T2^6 + 612*T1*T2^7 + 221*T1^2*T2^7 - 
      5252*T1^3*T2^7 + 7282*T1^4*T2^7 - 1865*T1^5*T2^7 - 9708*T1^6*T2^7 + 
      13404*T1^7*T2^7 - 5000*T1^8*T2^7 - 5904*T1^9*T2^7 + 6727*T1^10*T2^7 - 
      731*T1^11*T2^7 - 748*T1^12*T2^7 - 664*T1^2*T2^8 + 2075*T1^3*T2^8 + 
      576*T1^4*T2^8 - 7768*T1^5*T2^8 + 11302*T1^6*T2^8 - 5000*T1^7*T2^8 - 
      6842*T1^8*T2^8 + 11010*T1^9*T2^8 - 5698*T1^10*T2^8 - 1325*T1^11*T2^8 + 
      1448*T1^12*T2^8 + 176*T1^3*T2^9 - 2413*T1^4*T2^9 + 4846*T1^5*T2^9 - 
      1399*T1^6*T2^9 - 5904*T1^7*T2^9 + 11010*T1^8*T2^9 - 7309*T1^9*T2^9 + 
      391*T1^10*T2^9 + 3707*T1^11*T2^9 - 1792*T1^12*T2^9 + 392*T1^4*T2^10 + 
      357*T1^5*T2^10 - 3978*T1^6*T2^10 + 6727*T1^7*T2^10 - 5698*T1^8*T2^10 + 
      391*T1^9*T2^10 + 3678*T1^10*T2^10 - 4131*T1^11*T2^10 + 
      1448*T1^12*T2^10 - 476*T1^5*T2^11 + 1274*T1^6*T2^11 - 731*T1^7*T2^11 - 
      1325*T1^8*T2^11 + 3707*T1^9*T2^11 - 4131*T1^10*T2^11 + 
      2702*T1^11*T2^11 - 748*T1^12*T2^11 + 176*T1^6*T2^12 - 748*T1^7*T2^12 + 
      1448*T1^8*T2^12 - 1792*T1^9*T2^12 + 1448*T1^10*T2^12 - 
      748*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 633] -> 
  {(4 - 21*T + 51*T^2 - 67*T^3 + 51*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (-272 + 1420*T1 - 3440*T1^2 + 4512*T1^3 - 3440*T1^4 + 1420*T1^5 - 
     272*T1^6 + 1420*T2 - 6334*T1*T2 + 12319*T1^2*T2 - 9887*T1^3*T2 + 
     25*T1^4*T2 + 6271*T1^5*T2 - 4234*T1^6*T2 + 1084*T1^7*T2 - 3440*T2^2 + 
     12319*T1*T2^2 - 15847*T1^2*T2^2 - 4958*T1^3*T2^2 + 27473*T1^4*T2^2 - 
     23726*T1^5*T2^2 + 3329*T1^6*T2^2 + 3751*T1^7*T2^2 - 1808*T1^8*T2^2 + 
     4512*T2^3 - 9887*T1*T2^3 - 4958*T1^2*T2^3 + 50599*T1^3*T2^3 - 
     58190*T1^4*T2^3 + 10300*T1^5*T2^3 + 30571*T1^6*T2^3 - 19187*T1^7*T2^3 + 
     2713*T1^8*T2^3 + 1296*T1^9*T2^3 - 3440*T2^4 + 25*T1*T2^4 + 
     27473*T1^2*T2^4 - 58190*T1^3*T2^4 + 1726*T1^4*T2^4 + 84546*T1^5*T2^4 - 
     89366*T1^6*T2^4 + 19396*T1^7*T2^4 + 9995*T1^8*T2^4 - 5855*T1^9*T2^4 - 
     176*T1^10*T2^4 + 1420*T2^5 + 6271*T1*T2^5 - 23726*T1^2*T2^5 + 
     10300*T1^3*T2^5 + 84546*T1^4*T2^5 - 129986*T1^5*T2^5 + 52384*T1^6*T2^5 + 
     45225*T1^7*T2^5 - 39998*T1^8*T2^5 + 8659*T1^9*T2^5 + 2239*T1^10*T2^5 - 
     260*T1^11*T2^5 - 272*T2^6 - 4234*T1*T2^6 + 3329*T1^2*T2^6 + 
     30571*T1^3*T2^6 - 89366*T1^4*T2^6 + 52384*T1^5*T2^6 + 59556*T1^6*T2^6 - 
     106016*T1^7*T2^6 + 41836*T1^8*T2^6 + 4861*T1^9*T2^6 - 8011*T1^10*T2^6 + 
     806*T1^11*T2^6 + 112*T1^12*T2^6 + 1084*T1*T2^7 + 3751*T1^2*T2^7 - 
     19187*T1^3*T2^7 + 19396*T1^4*T2^7 + 45225*T1^5*T2^7 - 106016*T1^6*T2^7 + 
     76354*T1^7*T2^7 + 5904*T1^8*T2^7 - 30902*T1^9*T2^7 + 13198*T1^10*T2^7 - 
     281*T1^11*T2^7 - 596*T1^12*T2^7 - 1808*T1^2*T2^8 + 2713*T1^3*T2^8 + 
     9995*T1^4*T2^8 - 39998*T1^5*T2^8 + 41836*T1^6*T2^8 + 5904*T1^7*T2^8 - 
     49256*T1^8*T2^8 + 37588*T1^9*T2^8 - 7483*T1^10*T2^8 - 3167*T1^11*T2^8 + 
     1456*T1^12*T2^8 + 1296*T1^3*T2^9 - 5855*T1^4*T2^9 + 8659*T1^5*T2^9 + 
     4861*T1^6*T2^9 - 30902*T1^7*T2^9 + 37588*T1^8*T2^9 - 15167*T1^9*T2^9 - 
     5570*T1^10*T2^9 + 6745*T1^11*T2^9 - 1920*T1^12*T2^9 - 176*T1^4*T2^10 + 
     2239*T1^5*T2^10 - 8011*T1^6*T2^10 + 13198*T1^7*T2^10 - 7483*T1^8*T2^10 - 
     5570*T1^9*T2^10 + 11165*T1^10*T2^10 - 6329*T1^11*T2^10 + 
     1456*T1^12*T2^10 - 260*T1^5*T2^11 + 806*T1^6*T2^11 - 281*T1^7*T2^11 - 
     3167*T1^8*T2^11 + 6745*T1^9*T2^11 - 6329*T1^10*T2^11 + 
     2906*T1^11*T2^11 - 596*T1^12*T2^11 + 112*T1^6*T2^12 - 596*T1^7*T2^12 + 
     1456*T1^8*T2^12 - 1920*T1^9*T2^12 + 1456*T1^10*T2^12 - 596*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 634] -> {((1 - T + T^2)^2*(4 - 7*T + 4*T^2))/T^3, 
   (2*(-56 + 212*T1 - 424*T1^2 + 524*T1^3 - 424*T1^4 + 212*T1^5 - 56*T1^6 + 
      212*T2 - 710*T1*T2 + 1252*T1^2*T2 - 1278*T1^3*T2 + 732*T1^4*T2 - 
      98*T1^5*T2 - 140*T1^6*T2 + 92*T1^7*T2 - 424*T2^2 + 1252*T1*T2^2 - 
      1809*T1^2*T2^2 + 1130*T1^3*T2^2 + 413*T1^4*T2^2 - 1510*T1^5*T2^2 + 
      1311*T1^6*T2^2 - 548*T1^7*T2^2 + 56*T1^8*T2^2 + 524*T2^3 - 
      1278*T1*T2^3 + 1130*T1^2*T2^3 + 583*T1^3*T2^3 - 2536*T1^4*T2^3 + 
      2549*T1^5*T2^3 - 440*T1^6*T2^3 - 1255*T1^7*T2^3 + 1152*T1^8*T2^3 - 
      364*T1^9*T2^3 - 424*T2^4 + 732*T1*T2^4 + 413*T1^2*T2^4 - 
      2536*T1^3*T2^4 + 3588*T1^4*T2^4 - 1220*T1^5*T2^4 - 2382*T1^6*T2^4 + 
      3014*T1^7*T2^4 - 712*T1^8*T2^4 - 648*T1^9*T2^4 + 536*T1^10*T2^4 + 
      212*T2^5 - 98*T1*T2^5 - 1510*T1^2*T2^5 + 2549*T1^3*T2^5 - 
      1220*T1^4*T2^5 - 3583*T1^5*T2^5 + 6077*T1^6*T2^5 - 3020*T1^7*T2^5 - 
      1606*T1^8*T2^5 + 1895*T1^9*T2^5 - 548*T1^10*T2^5 - 388*T1^11*T2^5 - 
      56*T2^6 - 140*T1*T2^6 + 1311*T1^2*T2^6 - 440*T1^3*T2^6 - 
      2382*T1^4*T2^6 + 6077*T1^5*T2^6 - 3624*T1^6*T2^6 - 2743*T1^7*T2^6 + 
      5808*T1^8*T2^6 - 2216*T1^9*T2^6 - 399*T1^10*T2^6 + 940*T1^11*T2^6 + 
      136*T1^12*T2^6 + 92*T1*T2^7 - 548*T1^2*T2^7 - 1255*T1^3*T2^7 + 
      3014*T1^4*T2^7 - 3020*T1^5*T2^7 - 2743*T1^6*T2^7 + 6917*T1^7*T2^7 - 
      4820*T1^8*T2^7 - 1141*T1^9*T2^7 + 2150*T1^10*T2^7 - 998*T1^11*T2^7 - 
      508*T1^12*T2^7 + 56*T1^2*T2^8 + 1152*T1^3*T2^8 - 712*T1^4*T2^8 - 
      1606*T1^5*T2^8 + 5808*T1^6*T2^8 - 4820*T1^7*T2^8 - 162*T1^8*T2^8 + 
      3944*T1^9*T2^8 - 1837*T1^10*T2^8 - 228*T1^11*T2^8 + 1016*T1^12*T2^8 - 
      364*T1^3*T2^9 - 648*T1^4*T2^9 + 1895*T1^5*T2^9 - 2216*T1^6*T2^9 - 
      1141*T1^7*T2^9 + 3944*T1^8*T2^9 - 3239*T1^9*T2^9 - 490*T1^10*T2^9 + 
      1782*T1^11*T2^9 - 1252*T1^12*T2^9 + 536*T1^4*T2^10 - 548*T1^5*T2^10 - 
      399*T1^6*T2^10 + 2150*T1^7*T2^10 - 1837*T1^8*T2^10 - 490*T1^9*T2^10 + 
      2721*T1^10*T2^10 - 2348*T1^11*T2^10 + 1016*T1^12*T2^10 - 
      388*T1^5*T2^11 + 940*T1^6*T2^11 - 998*T1^7*T2^11 - 228*T1^8*T2^11 + 
      1782*T1^9*T2^11 - 2348*T1^10*T2^11 + 1510*T1^11*T2^11 - 
      508*T1^12*T2^11 + 136*T1^6*T2^12 - 508*T1^7*T2^12 + 1016*T1^8*T2^12 - 
      1252*T1^9*T2^12 + 1016*T1^10*T2^12 - 508*T1^11*T2^12 + 
      136*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 635] -> 
  {-((3 - 19*T + 47*T^2 - 63*T^3 + 47*T^4 - 19*T^5 + 3*T^6)/T^3), 
   -((-78 + 493*T1 - 1219*T1^2 + 1632*T1^3 - 1219*T1^4 + 493*T1^5 - 78*T1^6 + 
      493*T2 - 2793*T1*T2 + 5669*T1^2*T2 - 5289*T1^3*T2 + 981*T1^4*T2 + 
      1907*T1^5*T2 - 1539*T1^6*T2 + 322*T1^7*T2 - 1219*T2^2 + 5669*T1*T2^2 - 
      6538*T1^2*T2^2 - 4042*T1^3*T2^2 + 17860*T1^4*T2^2 - 16450*T1^5*T2^2 + 
      5870*T1^6*T2^2 + 311*T1^7*T2^2 - 373*T1^8*T2^2 + 1632*T2^3 - 
      5289*T1*T2^3 - 4042*T1^2*T2^3 + 29934*T1^3*T2^3 - 42856*T1^4*T2^3 + 
      17952*T1^5*T2^3 + 8418*T1^6*T2^3 - 11045*T1^7*T2^3 + 2805*T1^8*T2^3 - 
      69*T1^9*T2^3 - 1219*T2^4 + 981*T1*T2^4 + 17860*T1^2*T2^4 - 
      42856*T1^3*T2^4 + 27768*T1^4*T2^4 + 29712*T1^5*T2^4 - 52752*T1^6*T2^4 + 
      26948*T1^7*T2^4 - 1118*T1^8*T2^4 - 2553*T1^9*T2^4 + 473*T1^10*T2^4 + 
      493*T2^5 + 1907*T1*T2^5 - 16450*T1^2*T2^5 + 17952*T1^3*T2^5 + 
      29712*T1^4*T2^5 - 86933*T1^5*T2^5 + 68233*T1^6*T2^5 - 2295*T1^7*T2^5 - 
      24864*T1^8*T2^5 + 12173*T1^9*T2^5 - 715*T1^10*T2^5 - 362*T1^11*T2^5 - 
      78*T2^6 - 1539*T1*T2^6 + 5870*T1^2*T2^6 + 8418*T1^3*T2^6 - 
      52752*T1^4*T2^6 + 68233*T1^5*T2^6 - 6012*T1^6*T2^6 - 63649*T1^7*T2^6 + 
      53206*T1^8*T2^6 - 11058*T1^9*T2^6 - 5774*T1^10*T2^6 + 1767*T1^11*T2^6 + 
      84*T1^12*T2^6 + 322*T1*T2^7 + 311*T1^2*T2^7 - 11045*T1^3*T2^7 + 
      26948*T1^4*T2^7 - 2295*T1^5*T2^7 - 63649*T1^6*T2^7 + 91517*T1^7*T2^7 - 
      34302*T1^8*T2^7 - 15868*T1^9*T2^7 + 17578*T1^10*T2^7 - 
      2311*T1^11*T2^7 - 533*T1^12*T2^7 - 373*T1^2*T2^8 + 2805*T1^3*T2^8 - 
      1118*T1^4*T2^8 - 24864*T1^5*T2^8 + 53206*T1^6*T2^8 - 34302*T1^7*T2^8 - 
      27314*T1^8*T2^8 + 44940*T1^9*T2^8 - 20096*T1^10*T2^8 - 729*T1^11*T2^8 + 
      1319*T1^12*T2^8 - 69*T1^3*T2^9 - 2553*T1^4*T2^9 + 12173*T1^5*T2^9 - 
      11058*T1^6*T2^9 - 15868*T1^7*T2^9 + 44940*T1^8*T2^9 - 32574*T1^9*T2^9 + 
      5170*T1^10*T2^9 + 5541*T1^11*T2^9 - 1770*T1^12*T2^9 + 473*T1^4*T2^10 - 
      715*T1^5*T2^10 - 5774*T1^6*T2^10 + 17578*T1^7*T2^10 - 
      20096*T1^8*T2^10 + 5170*T1^9*T2^10 + 6634*T1^10*T2^10 - 
      6073*T1^11*T2^10 + 1319*T1^12*T2^10 - 362*T1^5*T2^11 + 
      1767*T1^6*T2^11 - 2311*T1^7*T2^11 - 729*T1^8*T2^11 + 5541*T1^9*T2^11 - 
      6073*T1^10*T2^11 + 3021*T1^11*T2^11 - 533*T1^12*T2^11 + 84*T1^6*T2^12 - 
      533*T1^7*T2^12 + 1319*T1^8*T2^12 - 1770*T1^9*T2^12 + 1319*T1^10*T2^12 - 
      533*T1^11*T2^12 + 84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 636] -> {(7 - 23*T + 33*T^2 - 23*T^3 + 7*T^4)/T^2, 
   (-525 + 1717*T1 - 2441*T1^2 + 1717*T1^3 - 525*T1^4 + 1717*T2 - 
     5019*T1*T2 + 6063*T1^2*T2 - 2953*T1^3*T2 - 189*T1^4*T2 + 590*T1^5*T2 - 
     2441*T2^2 + 6063*T1*T2^2 - 4053*T1^2*T2^2 - 3833*T1^3*T2^2 + 
     7959*T1^4*T2^2 - 4563*T1^5*T2^2 + 793*T1^6*T2^2 + 1717*T2^3 - 
     2953*T1*T2^3 - 3833*T1^2*T2^3 + 13996*T1^3*T2^3 - 14018*T1^4*T2^3 + 
     2998*T1^5*T2^3 + 2843*T1^6*T2^3 - 1664*T1^7*T2^3 - 525*T2^4 - 
     189*T1*T2^4 + 7959*T1^2*T2^4 - 14018*T1^3*T2^4 + 6444*T1^4*T2^4 + 
     8982*T1^5*T2^4 - 9907*T1^6*T2^4 + 2709*T1^7*T2^4 + 847*T1^8*T2^4 + 
     590*T1*T2^5 - 4563*T1^2*T2^5 + 2998*T1^3*T2^5 + 8982*T1^4*T2^5 - 
     19032*T1^5*T2^5 + 9829*T1^6*T2^5 + 1233*T1^7*T2^5 - 2791*T1^8*T2^5 + 
     793*T1^2*T2^6 + 2843*T1^3*T2^6 - 9907*T1^4*T2^6 + 9829*T1^5*T2^6 + 
     2105*T1^6*T2^6 - 7783*T1^7*T2^6 + 4027*T1^8*T2^6 - 1664*T1^3*T2^7 + 
     2709*T1^4*T2^7 + 1233*T1^5*T2^7 - 7783*T1^6*T2^7 + 7539*T1^7*T2^7 - 
     2791*T1^8*T2^7 + 847*T1^4*T2^8 - 2791*T1^5*T2^8 + 4027*T1^6*T2^8 - 
     2791*T1^7*T2^8 + 847*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 637] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6))/T^4), 
   -((-3 + 24*T1 - 78*T1^2 + 150*T1^3 - 183*T1^4 + 150*T1^5 - 78*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 497*T1^2*T2 - 786*T1^3*T2 + 
      665*T1^4*T2 - 223*T1^5*T2 - 178*T1^6*T2 + 225*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 78*T2^2 + 497*T1*T2^2 - 1030*T1^2*T2^2 + 755*T1^3*T2^2 + 
      1044*T1^4*T2^2 - 2710*T1^5*T2^2 + 2864*T1^6*T2^2 - 1429*T1^7*T2^2 + 
      270*T1^8*T2^2 + 81*T1^9*T2^2 - 26*T1^10*T2^2 + 150*T2^3 - 786*T1*T2^3 + 
      755*T1^2*T2^3 + 1772*T1^3*T2^3 - 6451*T1^4*T2^3 + 7561*T1^5*T2^3 - 
      4127*T1^6*T2^3 - 993*T1^7*T2^3 + 2350*T1^8*T2^3 - 1273*T1^9*T2^3 + 
      206*T1^10*T2^3 - 183*T2^4 + 665*T1*T2^4 + 1044*T1^2*T2^4 - 
      6451*T1^3*T2^4 + 11596*T1^4*T2^4 - 6387*T1^5*T2^4 - 4278*T1^6*T2^4 + 
      11365*T1^7*T2^4 - 7364*T1^8*T2^4 + 1349*T1^9*T2^4 + 988*T1^10*T2^4 - 
      487*T1^11*T2^4 + 61*T1^12*T2^4 + 150*T2^5 - 223*T1*T2^5 - 
      2710*T1^2*T2^5 + 7561*T1^3*T2^5 - 6387*T1^4*T2^5 - 9330*T1^5*T2^5 + 
      22224*T1^6*T2^5 - 19312*T1^7*T2^5 + 1204*T1^8*T2^5 + 8827*T1^9*T2^5 - 
      6303*T1^10*T2^5 + 1202*T1^11*T2^5 + 313*T1^12*T2^5 - 100*T1^13*T2^5 - 
      78*T2^6 - 178*T1*T2^6 + 2864*T1^2*T2^6 - 4127*T1^3*T2^6 - 
      4278*T1^4*T2^6 + 22224*T1^5*T2^6 - 22829*T1^6*T2^6 + 279*T1^7*T2^6 + 
      24891*T1^8*T2^6 - 22800*T1^9*T2^6 + 4538*T1^10*T2^6 + 4297*T1^11*T2^6 - 
      2708*T1^12*T2^6 + 174*T1^13*T2^6 + 78*T1^14*T2^6 + 24*T2^7 + 
      225*T1*T2^7 - 1429*T1^2*T2^7 - 993*T1^3*T2^7 + 11365*T1^4*T2^7 - 
      19312*T1^5*T2^7 + 279*T1^6*T2^7 + 33894*T1^7*T2^7 - 43112*T1^8*T2^7 + 
      14563*T1^9*T2^7 + 15248*T1^10*T2^7 - 14001*T1^11*T2^7 + 
      2917*T1^12*T2^7 + 1535*T1^13*T2^7 - 367*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 270*T1^2*T2^8 + 2350*T1^3*T2^8 - 
      7364*T1^4*T2^8 + 1204*T1^5*T2^8 + 24891*T1^6*T2^8 - 43112*T1^7*T2^8 + 
      16176*T1^8*T2^8 + 27856*T1^9*T2^8 - 41861*T1^10*T2^8 + 
      14028*T1^11*T2^8 + 4228*T1^12*T2^8 - 4698*T1^13*T2^8 + 110*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 81*T1^2*T2^9 - 
      1273*T1^3*T2^9 + 1349*T1^4*T2^9 + 8827*T1^5*T2^9 - 22800*T1^6*T2^9 + 
      14563*T1^7*T2^9 + 27856*T1^8*T2^9 - 49150*T1^9*T2^9 + 
      28847*T1^10*T2^9 + 11760*T1^11*T2^9 - 16539*T1^12*T2^9 + 
      5259*T1^13*T2^9 + 1691*T1^14*T2^9 - 511*T1^15*T2^9 - 40*T1^16*T2^9 - 
      26*T1^2*T2^10 + 206*T1^3*T2^10 + 988*T1^4*T2^10 - 6303*T1^5*T2^10 + 
      4538*T1^6*T2^10 + 15248*T1^7*T2^10 - 41861*T1^8*T2^10 + 
      28847*T1^9*T2^10 + 5859*T1^10*T2^10 - 29776*T1^11*T2^10 + 
      13354*T1^12*T2^10 + 2121*T1^13*T2^10 - 4584*T1^14*T2^10 + 
      558*T1^15*T2^10 + 130*T1^16*T2^10 - 487*T1^4*T2^11 + 1202*T1^5*T2^11 + 
      4297*T1^6*T2^11 - 14001*T1^7*T2^11 + 14028*T1^8*T2^11 + 
      11760*T1^9*T2^11 - 29776*T1^10*T2^11 + 24562*T1^11*T2^11 + 
      1213*T1^12*T2^11 - 9567*T1^13*T2^11 + 5114*T1^14*T2^11 + 
      49*T1^15*T2^11 - 250*T1^16*T2^11 + 61*T1^4*T2^12 + 313*T1^5*T2^12 - 
      2708*T1^6*T2^12 + 2917*T1^7*T2^12 + 4228*T1^8*T2^12 - 
      16539*T1^9*T2^12 + 13354*T1^10*T2^12 + 1213*T1^11*T2^12 - 
      14732*T1^12*T2^12 + 10717*T1^13*T2^12 - 2764*T1^14*T2^12 - 
      839*T1^15*T2^12 + 305*T1^16*T2^12 - 100*T1^5*T2^13 + 174*T1^6*T2^13 + 
      1535*T1^7*T2^13 - 4698*T1^8*T2^13 + 5259*T1^9*T2^13 + 
      2121*T1^10*T2^13 - 9567*T1^11*T2^13 + 10717*T1^12*T2^13 - 
      4120*T1^13*T2^13 - 493*T1^14*T2^13 + 1166*T1^15*T2^13 - 
      250*T1^16*T2^13 + 78*T1^6*T2^14 - 367*T1^7*T2^14 + 110*T1^8*T2^14 + 
      1691*T1^9*T2^14 - 4584*T1^10*T2^14 + 5114*T1^11*T2^14 - 
      2764*T1^12*T2^14 - 493*T1^13*T2^14 + 1410*T1^14*T2^14 - 
      783*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      511*T1^9*T2^15 + 558*T1^10*T2^15 + 49*T1^11*T2^15 - 839*T1^12*T2^15 + 
      1166*T1^13*T2^15 - 783*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 130*T1^10*T2^16 - 250*T1^11*T2^16 + 
      305*T1^12*T2^16 - 250*T1^13*T2^16 + 130*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 638] -> 
  {-((4 - 20*T + 41*T^2 - 51*T^3 + 41*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1668*T1 - 3392*T1^2 + 4208*T1^3 - 3392*T1^4 + 1668*T1^5 - 
      336*T1^6 + 1668*T2 - 6944*T1*T2 + 10198*T1^2*T2 - 7356*T1^3*T2 + 
      4*T1^4*T2 + 5318*T1^5*T2 - 5024*T1^6*T2 + 1348*T1^7*T2 - 3392*T2^2 + 
      10198*T1*T2^2 - 3312*T1^2*T2^2 - 14626*T1^3*T2^2 + 28676*T1^4*T2^2 - 
      24794*T1^5*T2^2 + 8824*T1^6*T2^2 + 3638*T1^7*T2^2 - 2080*T1^8*T2^2 + 
      4208*T2^3 - 7356*T1*T2^3 - 14626*T1^2*T2^3 + 35878*T1^3*T2^3 - 
      33286*T1^4*T2^3 + 4822*T1^5*T2^3 + 19518*T1^6*T2^3 - 20038*T1^7*T2^3 + 
      1604*T1^8*T2^3 + 1760*T1^9*T2^3 - 3392*T2^4 + 4*T1*T2^4 + 
      28676*T1^2*T2^4 - 33286*T1^3*T2^4 + 6321*T1^4*T2^4 + 28905*T1^5*T2^4 - 
      32647*T1^6*T2^4 + 8738*T1^7*T2^4 + 14772*T1^8*T2^4 - 4956*T1^9*T2^4 - 
      768*T1^10*T2^4 + 1668*T2^5 + 5318*T1*T2^5 - 24794*T1^2*T2^5 + 
      4822*T1^3*T2^5 + 28905*T1^4*T2^5 - 40315*T1^5*T2^5 + 11597*T1^6*T2^5 + 
      20254*T1^7*T2^5 - 25454*T1^8*T2^5 - 358*T1^9*T2^5 + 3478*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5024*T1*T2^6 + 8824*T1^2*T2^6 + 
      19518*T1^3*T2^6 - 32647*T1^4*T2^6 + 11597*T1^5*T2^6 + 25872*T1^6*T2^6 - 
      35345*T1^7*T2^6 + 14083*T1^8*T2^6 + 12982*T1^9*T2^6 - 5792*T1^10*T2^6 - 
      544*T1^11*T2^6 + 48*T1^12*T2^6 + 1348*T1*T2^7 + 3638*T1^2*T2^7 - 
      20038*T1^3*T2^7 + 8738*T1^4*T2^7 + 20254*T1^5*T2^7 - 35345*T1^6*T2^7 + 
      16567*T1^7*T2^7 + 11603*T1^8*T2^7 - 21538*T1^9*T2^7 + 4398*T1^10*T2^7 + 
      1798*T1^11*T2^7 - 252*T1^12*T2^7 - 2080*T1^2*T2^8 + 1604*T1^3*T2^8 + 
      14772*T1^4*T2^8 - 25454*T1^5*T2^8 + 14083*T1^6*T2^8 + 11603*T1^7*T2^8 - 
      24885*T1^8*T2^8 + 16570*T1^9*T2^8 + 868*T1^10*T2^8 - 3356*T1^11*T2^8 + 
      544*T1^12*T2^8 + 1760*T1^3*T2^9 - 4956*T1^4*T2^9 - 358*T1^5*T2^9 + 
      12982*T1^6*T2^9 - 21538*T1^7*T2^9 + 16570*T1^8*T2^9 - 3378*T1^9*T2^9 - 
      5770*T1^10*T2^9 + 4004*T1^11*T2^9 - 688*T1^12*T2^9 - 768*T1^4*T2^10 + 
      3478*T1^5*T2^10 - 5792*T1^6*T2^10 + 4398*T1^7*T2^10 + 868*T1^8*T2^10 - 
      5770*T1^9*T2^10 + 6344*T1^10*T2^10 - 3082*T1^11*T2^10 + 
      544*T1^12*T2^10 + 68*T1^5*T2^11 - 544*T1^6*T2^11 + 1798*T1^7*T2^11 - 
      3356*T1^8*T2^11 + 4004*T1^9*T2^11 - 3082*T1^10*T2^11 + 
      1376*T1^11*T2^11 - 252*T1^12*T2^11 + 48*T1^6*T2^12 - 252*T1^7*T2^12 + 
      544*T1^8*T2^12 - 688*T1^9*T2^12 + 544*T1^10*T2^12 - 252*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 639] -> 
  {-((2 - 10*T + 24*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 488*T1^2 + 813*T1^3 - 955*T1^4 + 813*T1^5 - 
      488*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1616*T1^2*T2 - 
      2100*T1^3*T2 + 1508*T1^4*T2 - 232*T1^5*T2 - 820*T1^6*T2 + 936*T1^7*T2 - 
      612*T1^8*T2 + 164*T1^9*T2 - 488*T2^2 + 1616*T1*T2^2 - 2053*T1^2*T2^2 + 
      1439*T1^3*T2^2 + 1312*T1^4*T2^2 - 3507*T1^5*T2^2 + 3520*T1^6*T2^2 - 
      1441*T1^7*T2^2 + 59*T1^8*T2^2 + 656*T1^9*T2^2 - 296*T1^10*T2^2 + 
      813*T2^3 - 2100*T1*T2^3 + 1439*T1^2*T2^3 + 148*T1^3*T2^3 - 
      3992*T1^4*T2^3 + 4205*T1^5*T2^3 - 1315*T1^6*T2^3 - 2312*T1^7*T2^3 + 
      2068*T1^8*T2^3 - 1441*T1^9*T2^3 - 180*T1^10*T2^3 + 333*T1^11*T2^3 - 
      955*T2^4 + 1508*T1*T2^4 + 1312*T1^2*T2^4 - 3992*T1^3*T2^4 + 
      8556*T1^4*T2^4 - 5770*T1^5*T2^4 + 1356*T1^6*T2^4 + 1350*T1^7*T2^4 + 
      1476*T1^8*T2^4 - 1432*T1^9*T2^4 + 2336*T1^10*T2^4 - 652*T1^11*T2^4 - 
      203*T1^12*T2^4 + 813*T2^5 - 232*T1*T2^5 - 3507*T1^2*T2^5 + 
      4205*T1^3*T2^5 - 5770*T1^4*T2^5 - 1598*T1^5*T2^5 + 4452*T1^6*T2^5 - 
      2428*T1^7*T2^5 - 3728*T1^8*T2^5 + 2010*T1^9*T2^5 - 2115*T1^10*T2^5 - 
      927*T1^11*T2^5 + 948*T1^12*T2^5 + 13*T1^13*T2^5 - 488*T2^6 - 
      820*T1*T2^6 + 3520*T1^2*T2^6 - 1315*T1^3*T2^6 + 1356*T1^4*T2^6 + 
      4452*T1^5*T2^6 + 472*T1^6*T2^6 - 7286*T1^7*T2^6 + 10696*T1^8*T2^6 - 
      2748*T1^9*T2^6 + 524*T1^10*T2^6 + 3005*T1^11*T2^6 - 1056*T1^12*T2^6 - 
      500*T1^13*T2^6 + 88*T1^14*T2^6 + 204*T2^7 + 936*T1*T2^7 - 
      1441*T1^2*T2^7 - 2312*T1^3*T2^7 + 1350*T1^4*T2^7 - 2428*T1^5*T2^7 - 
      7286*T1^6*T2^7 + 11422*T1^7*T2^7 - 6938*T1^8*T2^7 - 4086*T1^9*T2^7 + 
      3812*T1^10*T2^7 - 3790*T1^11*T2^7 - 472*T1^12*T2^7 + 1439*T1^13*T2^7 - 
      64*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 612*T1*T2^8 + 59*T1^2*T2^8 + 
      2068*T1^3*T2^8 + 1476*T1^4*T2^8 - 3728*T1^5*T2^8 + 10696*T1^6*T2^8 - 
      6938*T1^7*T2^8 - 3324*T1^8*T2^8 + 10422*T1^9*T2^8 - 4856*T1^10*T2^8 + 
      1432*T1^11*T2^8 + 2276*T1^12*T2^8 - 1452*T1^13*T2^8 - 565*T1^14*T2^8 + 
      268*T1^15*T2^8 + 23*T1^16*T2^8 + 164*T1*T2^9 + 656*T1^2*T2^9 - 
      1441*T1^3*T2^9 - 1432*T1^4*T2^9 + 2010*T1^5*T2^9 - 2748*T1^6*T2^9 - 
      4086*T1^7*T2^9 + 10422*T1^8*T2^9 - 7938*T1^9*T2^9 - 886*T1^10*T2^9 + 
      3492*T1^11*T2^9 - 3130*T1^12*T2^9 + 408*T1^13*T2^9 + 1439*T1^14*T2^9 - 
      344*T1^15*T2^9 - 116*T1^16*T2^9 - 296*T1^2*T2^10 - 180*T1^3*T2^10 + 
      2336*T1^4*T2^10 - 2115*T1^5*T2^10 + 524*T1^6*T2^10 + 3812*T1^7*T2^10 - 
      4856*T1^8*T2^10 - 886*T1^9*T2^10 + 5368*T1^10*T2^10 - 
      3388*T1^11*T2^10 - 308*T1^12*T2^10 + 2205*T1^13*T2^10 - 
      2240*T1^14*T2^10 + 140*T1^15*T2^10 + 280*T1^16*T2^10 + 333*T1^3*T2^11 - 
      652*T1^4*T2^11 - 927*T1^5*T2^11 + 3005*T1^6*T2^11 - 3790*T1^7*T2^11 + 
      1432*T1^8*T2^11 + 3492*T1^9*T2^11 - 3388*T1^10*T2^11 - 
      698*T1^11*T2^11 + 3990*T1^12*T2^11 - 3315*T1^13*T2^11 + 
      1653*T1^14*T2^11 + 528*T1^15*T2^11 - 467*T1^16*T2^11 - 203*T1^4*T2^12 + 
      948*T1^5*T2^12 - 1056*T1^6*T2^12 - 472*T1^7*T2^12 + 2276*T1^8*T2^12 - 
      3130*T1^9*T2^12 - 308*T1^10*T2^12 + 3990*T1^11*T2^12 - 
      4804*T1^12*T2^12 + 2088*T1^13*T2^12 - 32*T1^14*T2^12 - 
      1212*T1^15*T2^12 + 549*T1^16*T2^12 + 13*T1^5*T2^13 - 500*T1^6*T2^13 + 
      1439*T1^7*T2^13 - 1452*T1^8*T2^13 + 408*T1^9*T2^13 + 2205*T1^10*T2^13 - 
      3315*T1^11*T2^13 + 2088*T1^12*T2^13 + 468*T1^13*T2^13 - 
      1441*T1^14*T2^13 + 1420*T1^15*T2^13 - 467*T1^16*T2^13 + 88*T1^6*T2^14 - 
      64*T1^7*T2^14 - 565*T1^8*T2^14 + 1439*T1^9*T2^14 - 2240*T1^10*T2^14 + 
      1653*T1^11*T2^14 - 32*T1^12*T2^14 - 1441*T1^13*T2^14 + 
      1547*T1^14*T2^14 - 1024*T1^15*T2^14 + 280*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 344*T1^9*T2^15 + 140*T1^10*T2^15 + 528*T1^11*T2^15 - 
      1212*T1^12*T2^15 + 1420*T1^13*T2^15 - 1024*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      280*T1^10*T2^16 - 467*T1^11*T2^16 + 549*T1^12*T2^16 - 467*T1^13*T2^16 + 
      280*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 640] -> 
  {-((3 - 14*T + 28*T^2 - 35*T^3 + 28*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-90 + 418*T1 - 836*T1^2 + 1048*T1^3 - 836*T1^4 + 418*T1^5 - 90*T1^6 + 
      418*T2 - 1650*T1*T2 + 2530*T1^2*T2 - 2160*T1^3*T2 + 486*T1^4*T2 + 
      766*T1^5*T2 - 936*T1^6*T2 + 292*T1^7*T2 - 836*T2^2 + 2530*T1*T2^2 - 
      1831*T1^2*T2^2 - 1219*T1^3*T2^2 + 4813*T1^4*T2^2 - 4747*T1^5*T2^2 + 
      2369*T1^6*T2^2 + 178*T1^7*T2^2 - 332*T1^8*T2^2 + 1048*T2^3 - 
      2160*T1*T2^3 - 1219*T1^2*T2^3 + 5625*T1^3*T2^3 - 7891*T1^4*T2^3 + 
      3575*T1^5*T2^3 + 1131*T1^6*T2^3 - 3375*T1^7*T2^3 + 1074*T1^8*T2^3 + 
      103*T1^9*T2^3 - 836*T2^4 + 486*T1*T2^4 + 4813*T1^2*T2^4 - 
      7891*T1^3*T2^4 + 6622*T1^4*T2^4 + 1368*T1^5*T2^4 - 5558*T1^6*T2^4 + 
      4849*T1^7*T2^4 + 501*T1^8*T2^4 - 1278*T1^9*T2^4 + 172*T1^10*T2^4 + 
      418*T2^5 + 766*T1*T2^5 - 4747*T1^2*T2^5 + 3575*T1^3*T2^5 + 
      1368*T1^4*T2^5 - 8678*T1^5*T2^5 + 7240*T1^6*T2^5 - 984*T1^7*T2^5 - 
      5343*T1^8*T2^5 + 2897*T1^9*T2^5 + 178*T1^10*T2^5 - 212*T1^11*T2^5 - 
      90*T2^6 - 936*T1*T2^6 + 2369*T1^2*T2^6 + 1131*T1^3*T2^6 - 
      5558*T1^4*T2^6 + 7240*T1^5*T2^6 - 144*T1^6*T2^6 - 6844*T1^7*T2^6 + 
      7714*T1^8*T2^6 - 759*T1^9*T2^6 - 2391*T1^10*T2^6 + 660*T1^11*T2^6 + 
      72*T1^12*T2^6 + 292*T1*T2^7 + 178*T1^2*T2^7 - 3375*T1^3*T2^7 + 
      4849*T1^4*T2^7 - 984*T1^5*T2^7 - 6844*T1^6*T2^7 + 9074*T1^7*T2^7 - 
      3336*T1^8*T2^7 - 4069*T1^9*T2^7 + 4269*T1^10*T2^7 - 410*T1^11*T2^7 - 
      338*T1^12*T2^7 - 332*T1^2*T2^8 + 1074*T1^3*T2^8 + 501*T1^4*T2^8 - 
      5343*T1^5*T2^8 + 7714*T1^6*T2^8 - 3336*T1^7*T2^8 - 4466*T1^8*T2^8 + 
      7397*T1^9*T2^8 - 3811*T1^10*T2^8 - 690*T1^11*T2^8 + 676*T1^12*T2^8 + 
      103*T1^3*T2^9 - 1278*T1^4*T2^9 + 2897*T1^5*T2^9 - 759*T1^6*T2^9 - 
      4069*T1^7*T2^9 + 7397*T1^8*T2^9 - 5253*T1^9*T2^9 + 741*T1^10*T2^9 + 
      1956*T1^11*T2^9 - 842*T1^12*T2^9 + 172*T1^4*T2^10 + 178*T1^5*T2^10 - 
      2391*T1^6*T2^10 + 4269*T1^7*T2^10 - 3811*T1^8*T2^10 + 741*T1^9*T2^10 + 
      1809*T1^10*T2^10 - 2174*T1^11*T2^10 + 676*T1^12*T2^10 - 
      212*T1^5*T2^11 + 660*T1^6*T2^11 - 410*T1^7*T2^11 - 690*T1^8*T2^11 + 
      1956*T1^9*T2^11 - 2174*T1^10*T2^11 + 1374*T1^11*T2^11 - 
      338*T1^12*T2^11 + 72*T1^6*T2^12 - 338*T1^7*T2^12 + 676*T1^8*T2^12 - 
      842*T1^9*T2^12 + 676*T1^10*T2^12 - 338*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 641] -> 
  {(2 - 6*T + 10*T^2 - 12*T^3 + 13*T^4 - 12*T^5 + 10*T^6 - 6*T^7 + 2*T^8)/
    T^4, (-17 + 51*T1 - 86*T1^2 + 104*T1^3 - 113*T1^4 + 104*T1^5 - 86*T1^6 + 
     51*T1^7 - 17*T1^8 + 51*T2 - 126*T1*T2 + 177*T1^2*T2 - 174*T1^3*T2 + 
     171*T1^4*T2 - 129*T1^5*T2 + 90*T1^6*T2 - 15*T1^7*T2 - 30*T1^8*T2 + 
     27*T1^9*T2 - 86*T2^2 + 177*T1*T2^2 - 209*T1^2*T2^2 + 166*T1^3*T2^2 - 
     161*T1^4*T2^2 + 85*T1^5*T2^2 - 41*T1^6*T2^2 - 74*T1^7*T2^2 + 
     111*T1^8*T2^2 - 63*T1^9*T2^2 - 6*T1^10*T2^2 + 104*T2^3 - 174*T1*T2^3 + 
     166*T1^2*T2^3 - 98*T1^3*T2^3 + 123*T1^4*T2^3 - 43*T1^5*T2^3 + 
     41*T1^6*T2^3 + 75*T1^7*T2^3 - 50*T1^8*T2^3 - 74*T1^9*T2^3 + 
     138*T1^10*T2^3 - 40*T1^11*T2^3 - 113*T2^4 + 171*T1*T2^4 - 
     161*T1^2*T2^4 + 123*T1^3*T2^4 - 193*T1^4*T2^4 + 85*T1^5*T2^4 - 
     75*T1^6*T2^4 - 107*T1^7*T2^4 + 87*T1^8*T2^4 + 27*T1^9*T2^4 + 
     15*T1^10*T2^4 - 165*T1^11*T2^4 + 95*T1^12*T2^4 + 104*T2^5 - 
     129*T1*T2^5 + 85*T1^2*T2^5 - 43*T1^3*T2^5 + 85*T1^4*T2^5 + 
     72*T1^5*T2^5 - 48*T1^6*T2^5 + 180*T1^7*T2^5 - 54*T1^8*T2^5 - 
     119*T1^9*T2^5 + 17*T1^10*T2^5 + 49*T1^11*T2^5 + 123*T1^12*T2^5 - 
     136*T1^13*T2^5 - 86*T2^6 + 90*T1*T2^6 - 41*T1^2*T2^6 + 41*T1^3*T2^6 - 
     75*T1^4*T2^6 - 48*T1^5*T2^6 - 50*T1^6*T2^6 - 52*T1^7*T2^6 - 
     38*T1^8*T2^6 + 120*T1^9*T2^6 + 109*T1^10*T2^6 - 79*T1^11*T2^6 - 
     49*T1^12*T2^6 - 54*T1^13*T2^6 + 154*T1^14*T2^6 + 51*T2^7 - 15*T1*T2^7 - 
     74*T1^2*T2^7 + 75*T1^3*T2^7 - 107*T1^4*T2^7 + 180*T1^5*T2^7 - 
     52*T1^6*T2^7 + 104*T1^7*T2^7 - 4*T1^8*T2^7 - 100*T1^9*T2^7 - 
     168*T1^10*T2^7 + 49*T1^11*T2^7 - 69*T1^12*T2^7 + 166*T1^13*T2^7 - 
     111*T1^14*T2^7 - 117*T1^15*T2^7 - 17*T2^8 - 30*T1*T2^8 + 111*T1^2*T2^8 - 
     50*T1^3*T2^8 + 87*T1^4*T2^8 - 54*T1^5*T2^8 - 38*T1^6*T2^8 - 
     4*T1^7*T2^8 + 24*T1^8*T2^8 - 4*T1^9*T2^8 + 362*T1^10*T2^8 - 
     126*T1^11*T2^8 + 183*T1^12*T2^8 - 98*T1^13*T2^8 - 65*T1^14*T2^8 + 
     210*T1^15*T2^8 + 47*T1^16*T2^8 + 27*T1*T2^9 - 63*T1^2*T2^9 - 
     74*T1^3*T2^9 + 27*T1^4*T2^9 - 119*T1^5*T2^9 + 120*T1^6*T2^9 - 
     100*T1^7*T2^9 - 4*T1^8*T2^9 - 112*T1^9*T2^9 - 148*T1^10*T2^9 - 
     228*T1^11*T2^9 + 37*T1^12*T2^9 - 117*T1^13*T2^9 + 166*T1^14*T2^9 - 
     159*T1^15*T2^9 - 141*T1^16*T2^9 - 6*T1^2*T2^10 + 138*T1^3*T2^10 + 
     15*T1^4*T2^10 + 17*T1^5*T2^10 + 109*T1^6*T2^10 - 168*T1^7*T2^10 + 
     362*T1^8*T2^10 - 148*T1^9*T2^10 + 374*T1^10*T2^10 + 293*T1^12*T2^10 - 
     103*T1^13*T2^10 + 7*T1^14*T2^10 - 6*T1^15*T2^10 + 234*T1^16*T2^10 - 
     40*T1^3*T2^11 - 165*T1^4*T2^11 + 49*T1^5*T2^11 - 79*T1^6*T2^11 + 
     49*T1^7*T2^11 - 126*T1^8*T2^11 - 228*T1^9*T2^11 - 252*T1^11*T2^11 - 
     155*T1^12*T2^11 - 19*T1^13*T2^11 + 13*T1^14*T2^11 + 87*T1^15*T2^11 - 
     280*T1^16*T2^11 + 95*T1^4*T2^12 + 123*T1^5*T2^12 - 49*T1^6*T2^12 - 
     69*T1^7*T2^12 + 183*T1^8*T2^12 + 37*T1^9*T2^12 + 293*T1^10*T2^12 - 
     155*T1^11*T2^12 + 463*T1^12*T2^12 - 165*T1^13*T2^12 + 127*T1^14*T2^12 - 
     213*T1^15*T2^12 + 303*T1^16*T2^12 - 136*T1^5*T2^13 - 54*T1^6*T2^13 + 
     166*T1^7*T2^13 - 98*T1^8*T2^13 - 117*T1^9*T2^13 - 103*T1^10*T2^13 - 
     19*T1^11*T2^13 - 165*T1^12*T2^13 - 50*T1^13*T2^13 - 74*T1^14*T2^13 + 
     258*T1^15*T2^13 - 280*T1^16*T2^13 + 154*T1^6*T2^14 - 111*T1^7*T2^14 - 
     65*T1^8*T2^14 + 166*T1^9*T2^14 + 7*T1^10*T2^14 + 13*T1^11*T2^14 + 
     127*T1^12*T2^14 - 74*T1^13*T2^14 + 255*T1^14*T2^14 - 351*T1^15*T2^14 + 
     234*T1^16*T2^14 - 117*T1^7*T2^15 + 210*T1^8*T2^15 - 159*T1^9*T2^15 - 
     6*T1^10*T2^15 + 87*T1^11*T2^15 - 213*T1^12*T2^15 + 258*T1^13*T2^15 - 
     351*T1^14*T2^15 + 306*T1^15*T2^15 - 141*T1^16*T2^15 + 47*T1^8*T2^16 - 
     141*T1^9*T2^16 + 234*T1^10*T2^16 - 280*T1^11*T2^16 + 303*T1^12*T2^16 - 
     280*T1^13*T2^16 + 234*T1^14*T2^16 - 141*T1^15*T2^16 + 47*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 642] -> 
  {(4 - 14*T + 25*T^2 - 29*T^3 + 25*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (-128 + 452*T1 - 816*T1^2 + 952*T1^3 - 816*T1^4 + 452*T1^5 - 128*T1^6 + 
     452*T2 - 1366*T1*T2 + 2066*T1^2*T2 - 1878*T1^3*T2 + 1146*T1^4*T2 - 
     118*T1^5*T2 - 358*T1^6*T2 + 228*T1^7*T2 - 816*T2^2 + 2066*T1*T2^2 - 
     2395*T1^2*T2^2 + 1130*T1^3*T2^2 + 393*T1^4*T2^2 - 1870*T1^5*T2^2 + 
     1805*T1^6*T2^2 - 734*T1^7*T2^2 - 16*T1^8*T2^2 + 952*T2^3 - 
     1878*T1*T2^3 + 1130*T1^2*T2^3 + 1108*T1^3*T2^3 - 2398*T1^4*T2^3 + 
     2930*T1^5*T2^3 - 1058*T1^6*T2^3 - 1270*T1^7*T2^3 + 1594*T1^8*T2^3 - 
     440*T1^9*T2^3 - 816*T2^4 + 1146*T1*T2^4 + 393*T1^2*T2^4 - 
     2398*T1^3*T2^4 + 2334*T1^4*T2^4 - 1446*T1^5*T2^4 - 1446*T1^6*T2^4 + 
     3054*T1^7*T2^4 - 975*T1^8*T2^4 - 1206*T1^9*T2^4 + 784*T1^10*T2^4 + 
     452*T2^5 - 118*T1*T2^5 - 1870*T1^2*T2^5 + 2930*T1^3*T2^5 - 
     1446*T1^4*T2^5 - 467*T1^5*T2^5 + 2773*T1^6*T2^5 - 2071*T1^7*T2^5 - 
     2150*T1^8*T2^5 + 2930*T1^9*T2^5 - 398*T1^10*T2^5 - 668*T1^11*T2^5 - 
     128*T2^6 - 358*T1*T2^6 + 1805*T1^2*T2^6 - 1058*T1^3*T2^6 - 
     1446*T1^4*T2^6 + 2773*T1^5*T2^6 - 2100*T1^6*T2^6 - 857*T1^7*T2^6 + 
     4468*T1^8*T2^6 - 1742*T1^9*T2^6 - 1771*T1^10*T2^6 + 1434*T1^11*T2^6 + 
     256*T1^12*T2^6 + 228*T1*T2^7 - 734*T1^2*T2^7 - 1270*T1^3*T2^7 + 
     3054*T1^4*T2^7 - 2071*T1^5*T2^7 - 857*T1^6*T2^7 + 2383*T1^7*T2^7 - 
     2696*T1^8*T2^7 - 2026*T1^9*T2^7 + 3530*T1^10*T2^7 - 1014*T1^11*T2^7 - 
     892*T1^12*T2^7 - 16*T1^2*T2^8 + 1594*T1^3*T2^8 - 975*T1^4*T2^8 - 
     2150*T1^5*T2^8 + 4468*T1^6*T2^8 - 2696*T1^7*T2^8 + 688*T1^8*T2^8 + 
     3302*T1^9*T2^8 - 2343*T1^10*T2^8 - 758*T1^11*T2^8 + 1584*T1^12*T2^8 - 
     440*T1^3*T2^9 - 1206*T1^4*T2^9 + 2930*T1^5*T2^9 - 1742*T1^6*T2^9 - 
     2026*T1^7*T2^9 + 3302*T1^8*T2^9 - 3908*T1^9*T2^9 + 530*T1^10*T2^9 + 
     2266*T1^11*T2^9 - 1832*T1^12*T2^9 + 784*T1^4*T2^10 - 398*T1^5*T2^10 - 
     1771*T1^6*T2^10 + 3530*T1^7*T2^10 - 2343*T1^8*T2^10 + 530*T1^9*T2^10 + 
     2429*T1^10*T2^10 - 3198*T1^11*T2^10 + 1584*T1^12*T2^10 - 
     668*T1^5*T2^11 + 1434*T1^6*T2^11 - 1014*T1^7*T2^11 - 758*T1^8*T2^11 + 
     2266*T1^9*T2^11 - 3198*T1^10*T2^11 + 2442*T1^11*T2^11 - 
     892*T1^12*T2^11 + 256*T1^6*T2^12 - 892*T1^7*T2^12 + 1584*T1^8*T2^12 - 
     1832*T1^9*T2^12 + 1584*T1^10*T2^12 - 892*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 643] -> 
  {(4 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (-128 + 416*T1 - 676*T1^2 + 744*T1^3 - 676*T1^4 + 416*T1^5 - 128*T1^6 + 
     416*T2 - 1144*T1*T2 + 1520*T1^2*T2 - 1312*T1^3*T2 + 976*T1^4*T2 - 
     248*T1^5*T2 - 260*T1^6*T2 + 208*T1^7*T2 - 676*T2^2 + 1520*T1*T2^2 - 
     1421*T1^2*T2^2 + 533*T1^3*T2^2 + 75*T1^4*T2^2 - 1147*T1^5*T2^2 + 
     1435*T1^6*T2^2 - 664*T1^7*T2^2 - 4*T1^8*T2^2 + 744*T2^3 - 1312*T1*T2^3 + 
     533*T1^2*T2^3 + 683*T1^3*T2^3 - 933*T1^4*T2^3 + 1695*T1^5*T2^3 - 
     1147*T1^6*T2^3 - 622*T1^7*T2^3 + 1184*T1^8*T2^3 - 360*T1^9*T2^3 - 
     676*T2^4 + 976*T1*T2^4 + 75*T1^2*T2^4 - 933*T1^3*T2^4 + 571*T1^4*T2^4 - 
     1181*T1^5*T2^4 + 303*T1^6*T2^4 + 1505*T1^7*T2^4 - 643*T1^8*T2^4 - 
     1000*T1^9*T2^4 + 668*T1^10*T2^4 + 416*T2^5 - 248*T1*T2^5 - 
     1147*T1^2*T2^5 + 1695*T1^3*T2^5 - 1181*T1^4*T2^5 + 1694*T1^5*T2^5 - 
     480*T1^6*T2^5 - 950*T1^7*T2^5 - 1313*T1^8*T2^5 + 2108*T1^9*T2^5 - 
     144*T1^10*T2^5 - 624*T1^11*T2^5 - 128*T2^6 - 260*T1*T2^6 + 
     1435*T1^2*T2^6 - 1147*T1^3*T2^6 + 303*T1^4*T2^6 - 480*T1^5*T2^6 - 
     444*T1^6*T2^6 + 944*T1^7*T2^6 + 1765*T1^8*T2^6 - 625*T1^9*T2^6 - 
     1809*T1^10*T2^6 + 1196*T1^11*T2^6 + 256*T1^12*T2^6 + 208*T1*T2^7 - 
     664*T1^2*T2^7 - 622*T1^3*T2^7 + 1505*T1^4*T2^7 - 950*T1^5*T2^7 + 
     944*T1^6*T2^7 - 1230*T1^7*T2^7 - 719*T1^8*T2^7 - 1503*T1^9*T2^7 + 
     2633*T1^10*T2^7 - 560*T1^11*T2^7 - 832*T1^12*T2^7 - 4*T1^2*T2^8 + 
     1184*T1^3*T2^8 - 643*T1^4*T2^8 - 1313*T1^5*T2^8 + 1765*T1^6*T2^8 - 
     719*T1^7*T2^8 + 1497*T1^8*T2^8 + 1125*T1^9*T2^8 - 1361*T1^10*T2^8 - 
     792*T1^11*T2^8 + 1340*T1^12*T2^8 - 360*T1^3*T2^9 - 1000*T1^4*T2^9 + 
     2108*T1^5*T2^9 - 625*T1^6*T2^9 - 1503*T1^7*T2^9 + 1125*T1^8*T2^9 - 
     2455*T1^9*T2^9 + 953*T1^10*T2^9 + 1496*T1^11*T2^9 - 1464*T1^12*T2^9 + 
     668*T1^4*T2^10 - 144*T1^5*T2^10 - 1809*T1^6*T2^10 + 2633*T1^7*T2^10 - 
     1361*T1^8*T2^10 + 953*T1^9*T2^10 + 1047*T1^10*T2^10 - 2328*T1^11*T2^10 + 
     1340*T1^12*T2^10 - 624*T1^5*T2^11 + 1196*T1^6*T2^11 - 560*T1^7*T2^11 - 
     792*T1^8*T2^11 + 1496*T1^9*T2^11 - 2328*T1^10*T2^11 + 2080*T1^11*T2^11 - 
     832*T1^12*T2^11 + 256*T1^6*T2^12 - 832*T1^7*T2^12 + 1340*T1^8*T2^12 - 
     1464*T1^9*T2^12 + 1340*T1^10*T2^12 - 832*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 644] -> 
  {(8 - 28*T + 41*T^2 - 28*T^3 + 8*T^4)/T^2, 
   (2*(-480 + 1680*T1 - 2456*T1^2 + 1680*T1^3 - 480*T1^4 + 1680*T2 - 
      5096*T1*T2 + 5852*T1^2*T2 - 1876*T1^3*T2 - 1064*T1^4*T2 + 784*T1^5*T2 - 
      2456*T2^2 + 5852*T1*T2^2 - 2739*T1^2*T2^2 - 6104*T1^3*T2^2 + 
      8085*T1^4*T2^2 - 3332*T1^5*T2^2 + 168*T1^6*T2^2 + 1680*T2^3 - 
      1876*T1*T2^3 - 6104*T1^2*T2^3 + 15692*T1^3*T2^3 - 11818*T1^4*T2^3 + 
      784*T1^5*T2^3 + 2940*T1^6*T2^3 - 1008*T1^7*T2^3 - 480*T2^4 - 
      1064*T1*T2^4 + 8085*T1^2*T2^4 - 11818*T1^3*T2^4 + 1758*T1^4*T2^4 + 
      10470*T1^5*T2^4 - 8619*T1^6*T2^4 + 1624*T1^7*T2^4 + 544*T1^8*T2^4 + 
      784*T1*T2^5 - 3332*T1^2*T2^5 + 784*T1^3*T2^5 + 10470*T1^4*T2^5 - 
      17040*T1^5*T2^5 + 7672*T1^6*T2^5 + 1484*T1^7*T2^5 - 1904*T1^8*T2^5 + 
      168*T1^2*T2^6 + 2940*T1^3*T2^6 - 8619*T1^4*T2^6 + 7672*T1^5*T2^6 + 
      2205*T1^6*T2^6 - 6244*T1^7*T2^6 + 2792*T1^8*T2^6 - 1008*T1^3*T2^7 + 
      1624*T1^4*T2^7 + 1484*T1^5*T2^7 - 6244*T1^6*T2^7 + 5656*T1^7*T2^7 - 
      1904*T1^8*T2^7 + 544*T1^4*T2^8 - 1904*T1^5*T2^8 + 2792*T1^6*T2^8 - 
      1904*T1^7*T2^8 + 544*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 645] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6))/
     T^4), -((-41 + 224*T1 - 607*T1^2 + 1088*T1^3 - 1307*T1^4 + 1088*T1^5 - 
      607*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1046*T1*T2 + 2343*T1^2*T2 - 
      3301*T1^3*T2 + 2392*T1^4*T2 - 226*T1^5*T2 - 1453*T1^6*T2 + 
      1441*T1^7*T2 - 760*T1^8*T2 + 180*T1^9*T2 - 607*T2^2 + 2343*T1*T2^2 - 
      4019*T1^2*T2^2 + 3614*T1^3*T2^2 + 1287*T1^4*T2^2 - 5559*T1^5*T2^2 + 
      5487*T1^6*T2^2 - 1546*T1^7*T2^2 - 659*T1^8*T2^2 + 1023*T1^9*T2^2 - 
      367*T1^10*T2^2 + 1088*T2^3 - 3301*T1*T2^3 + 3614*T1^2*T2^3 + 
      22*T1^3*T2^3 - 8881*T1^4*T2^3 + 9638*T1^5*T2^3 - 2416*T1^6*T2^3 - 
      5785*T1^7*T2^3 + 4636*T1^8*T2^3 - 1816*T1^9*T2^3 - 397*T1^10*T2^3 + 
      440*T1^11*T2^3 - 1307*T2^4 + 2392*T1*T2^4 + 1287*T1^2*T2^4 - 
      8881*T1^3*T2^4 + 17989*T1^4*T2^4 - 7876*T1^5*T2^4 - 6295*T1^6*T2^4 + 
      11344*T1^7*T2^4 - 335*T1^8*T2^4 - 3697*T1^9*T2^4 + 3819*T1^10*T2^4 - 
      952*T1^11*T2^4 - 267*T1^12*T2^4 + 1088*T2^5 - 226*T1*T2^5 - 
      5559*T1^2*T2^5 + 9638*T1^3*T2^5 - 7876*T1^4*T2^5 - 16415*T1^5*T2^5 + 
      24254*T1^6*T2^5 - 10486*T1^7*T2^5 - 13115*T1^8*T2^5 + 10724*T1^9*T2^5 - 
      4492*T1^10*T2^5 - 1404*T1^11*T2^5 + 1424*T1^12*T2^5 + 8*T1^13*T2^5 - 
      607*T2^6 - 1453*T1*T2^6 + 5487*T1^2*T2^6 - 2416*T1^3*T2^6 - 
      6295*T1^4*T2^6 + 24254*T1^5*T2^6 - 4291*T1^6*T2^6 - 27129*T1^7*T2^6 + 
      40121*T1^8*T2^6 - 13198*T1^9*T2^6 - 1999*T1^10*T2^6 + 6524*T1^11*T2^6 - 
      2049*T1^12*T2^6 - 661*T1^13*T2^6 + 113*T1^14*T2^6 + 224*T2^7 + 
      1441*T1*T2^7 - 1546*T1^2*T2^7 - 5785*T1^3*T2^7 + 11344*T1^4*T2^7 - 
      10486*T1^5*T2^7 - 27129*T1^6*T2^7 + 46938*T1^7*T2^7 - 28160*T1^8*T2^7 - 
      13869*T1^9*T2^7 + 18830*T1^10*T2^7 - 9736*T1^11*T2^7 - 529*T1^12*T2^7 + 
      2264*T1^13*T2^7 - 165*T1^14*T2^7 - 84*T1^15*T2^7 - 41*T2^8 - 
      760*T1*T2^8 - 659*T1^2*T2^8 + 4636*T1^3*T2^8 - 335*T1^4*T2^8 - 
      13115*T1^5*T2^8 + 40121*T1^6*T2^8 - 28160*T1^7*T2^8 - 12960*T1^8*T2^8 + 
      41136*T1^9*T2^8 - 22099*T1^10*T2^8 + 1243*T1^11*T2^8 + 
      6389*T1^12*T2^8 - 3248*T1^13*T2^8 - 485*T1^14*T2^8 + 340*T1^15*T2^8 + 
      23*T1^16*T2^8 + 180*T1*T2^9 + 1023*T1^2*T2^9 - 1816*T1^3*T2^9 - 
      3697*T1^4*T2^9 + 10724*T1^5*T2^9 - 13198*T1^6*T2^9 - 13869*T1^7*T2^9 + 
      41136*T1^8*T2^9 - 33962*T1^9*T2^9 - 609*T1^10*T2^9 + 16118*T1^11*T2^9 - 
      10356*T1^12*T2^9 + 1559*T1^13*T2^9 + 1994*T1^14*T2^9 - 583*T1^15*T2^9 - 
      128*T1^16*T2^9 - 367*T1^2*T2^10 - 397*T1^3*T2^10 + 3819*T1^4*T2^10 - 
      4492*T1^5*T2^10 - 1999*T1^6*T2^10 + 18830*T1^7*T2^10 - 
      22099*T1^8*T2^10 - 609*T1^9*T2^10 + 22313*T1^10*T2^10 - 
      18622*T1^11*T2^10 + 2297*T1^12*T2^10 + 4448*T1^13*T2^10 - 
      3717*T1^14*T2^10 + 395*T1^15*T2^10 + 353*T1^16*T2^10 + 440*T1^3*T2^11 - 
      952*T1^4*T2^11 - 1404*T1^5*T2^11 + 6524*T1^6*T2^11 - 9736*T1^7*T2^11 + 
      1243*T1^8*T2^11 + 16118*T1^9*T2^11 - 18622*T1^10*T2^11 + 
      4543*T1^11*T2^11 + 8864*T1^12*T2^11 - 7606*T1^13*T2^11 + 
      2751*T1^14*T2^11 + 698*T1^15*T2^11 - 640*T1^16*T2^11 - 267*T1^4*T2^12 + 
      1424*T1^5*T2^12 - 2049*T1^6*T2^12 - 529*T1^7*T2^12 + 6389*T1^8*T2^12 - 
      10356*T1^9*T2^12 + 2297*T1^10*T2^12 + 8864*T1^11*T2^12 - 
      11935*T1^12*T2^12 + 4655*T1^13*T2^12 + 483*T1^14*T2^12 - 
      1920*T1^15*T2^12 + 773*T1^16*T2^12 + 8*T1^5*T2^13 - 661*T1^6*T2^13 + 
      2264*T1^7*T2^13 - 3248*T1^8*T2^13 + 1559*T1^9*T2^13 + 
      4448*T1^10*T2^13 - 7606*T1^11*T2^13 + 4655*T1^12*T2^13 + 
      1366*T1^13*T2^13 - 3166*T1^14*T2^13 + 2243*T1^15*T2^13 - 
      640*T1^16*T2^13 + 113*T1^6*T2^14 - 165*T1^7*T2^14 - 485*T1^8*T2^14 + 
      1994*T1^9*T2^14 - 3717*T1^10*T2^14 + 2751*T1^11*T2^14 + 
      483*T1^12*T2^14 - 3166*T1^13*T2^14 + 2875*T1^14*T2^14 - 
      1485*T1^15*T2^14 + 353*T1^16*T2^14 - 84*T1^7*T2^15 + 340*T1^8*T2^15 - 
      583*T1^9*T2^15 + 395*T1^10*T2^15 + 698*T1^11*T2^15 - 1920*T1^12*T2^15 + 
      2243*T1^13*T2^15 - 1485*T1^14*T2^15 + 626*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 353*T1^10*T2^16 - 
      640*T1^11*T2^16 + 773*T1^12*T2^16 - 640*T1^13*T2^16 + 353*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 646] -> 
  {((2 - 3*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-33 + 148*T1 - 345*T1^2 + 543*T1^3 - 643*T1^4 + 543*T1^5 - 345*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 1266*T1^3*T2 + 
     1042*T1^4*T2 - 254*T1^5*T2 - 294*T1^6*T2 + 506*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1533*T1^2*T2^2 + 
     1230*T1^3*T2^2 - 343*T1^4*T2^2 - 1141*T1^5*T2^2 + 1169*T1^6*T2^2 - 
     786*T1^7*T2^2 + 63*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     543*T2^3 - 1266*T1*T2^3 + 1230*T1^2*T2^3 - 173*T1^3*T2^3 - 
     907*T1^4*T2^3 + 2274*T1^5*T2^3 - 642*T1^6*T2^3 - 205*T1^7*T2^3 + 
     1087*T1^8*T2^3 - 849*T1^9*T2^3 + 138*T1^10*T2^3 + 147*T1^11*T2^3 - 
     643*T2^4 + 1042*T1*T2^4 - 343*T1^2*T2^4 - 907*T1^3*T2^4 + 
     1247*T1^4*T2^4 - 1897*T1^5*T2^4 - 1365*T1^6*T2^4 + 1307*T1^7*T2^4 - 
     1465*T1^8*T2^4 + 83*T1^9*T2^4 + 863*T1^10*T2^4 - 578*T1^11*T2^4 - 
     19*T1^12*T2^4 + 543*T2^5 - 254*T1*T2^5 - 1141*T1^2*T2^5 + 
     2274*T1^3*T2^5 - 1897*T1^4*T2^5 + 1986*T1^5*T2^5 + 2277*T1^6*T2^5 - 
     657*T1^7*T2^5 + 414*T1^8*T2^5 + 1298*T1^9*T2^5 - 1326*T1^10*T2^5 + 
     20*T1^11*T2^5 + 610*T1^12*T2^5 - 117*T1^13*T2^5 - 345*T2^6 - 
     294*T1*T2^6 + 1169*T1^2*T2^6 - 642*T1^3*T2^6 - 1365*T1^4*T2^6 + 
     2277*T1^5*T2^6 - 6053*T1^6*T2^6 + 1581*T1^7*T2^6 - 293*T1^8*T2^6 - 
     1395*T1^9*T2^6 + 381*T1^10*T2^6 + 1248*T1^11*T2^6 - 955*T1^12*T2^6 - 
     186*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     786*T1^2*T2^7 - 205*T1^3*T2^7 + 1307*T1^4*T2^7 - 657*T1^5*T2^7 + 
     1581*T1^6*T2^7 + 4075*T1^7*T2^7 - 3287*T1^8*T2^7 + 1716*T1^9*T2^7 + 
     801*T1^10*T2^7 - 1924*T1^11*T2^7 + 245*T1^12*T2^7 + 915*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 63*T1^2*T2^8 + 
     1087*T1^3*T2^8 - 1465*T1^4*T2^8 + 414*T1^5*T2^8 - 293*T1^6*T2^8 - 
     3287*T1^7*T2^8 + 228*T1^8*T2^8 + 2527*T1^9*T2^8 - 2663*T1^10*T2^8 + 
     1482*T1^11*T2^8 + 1187*T1^12*T2^8 - 1283*T1^13*T2^8 - 111*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     849*T1^3*T2^9 + 83*T1^4*T2^9 + 1298*T1^5*T2^9 - 1395*T1^6*T2^9 + 
     1716*T1^7*T2^9 + 2527*T1^8*T2^9 - 4835*T1^9*T2^9 + 1851*T1^10*T2^9 + 
     63*T1^11*T2^9 - 1933*T1^12*T2^9 + 533*T1^13*T2^9 + 852*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 138*T1^3*T2^10 + 
     863*T1^4*T2^10 - 1326*T1^5*T2^10 + 381*T1^6*T2^10 + 801*T1^7*T2^10 - 
     2663*T1^8*T2^10 + 1851*T1^9*T2^10 + 3097*T1^10*T2^10 - 
     2871*T1^11*T2^10 + 2127*T1^12*T2^10 + 564*T1^13*T2^10 - 
     1261*T1^14*T2^10 + 246*T1^15*T2^10 + 327*T1^16*T2^10 + 147*T1^3*T2^11 - 
     578*T1^4*T2^11 + 20*T1^5*T2^11 + 1248*T1^6*T2^11 - 1924*T1^7*T2^11 + 
     1482*T1^8*T2^11 + 63*T1^9*T2^11 - 2871*T1^10*T2^11 - 90*T1^11*T2^11 + 
     1271*T1^12*T2^11 - 2352*T1^13*T2^11 + 1181*T1^14*T2^11 + 
     286*T1^15*T2^11 - 513*T1^16*T2^11 - 19*T1^4*T2^12 + 610*T1^5*T2^12 - 
     955*T1^6*T2^12 + 245*T1^7*T2^12 + 1187*T1^8*T2^12 - 1933*T1^9*T2^12 + 
     2127*T1^10*T2^12 + 1271*T1^11*T2^12 - 1525*T1^12*T2^12 + 
     1235*T1^13*T2^12 + 251*T1^14*T2^12 - 1010*T1^15*T2^12 + 
     605*T1^16*T2^12 - 117*T1^5*T2^13 - 186*T1^6*T2^13 + 915*T1^7*T2^13 - 
     1283*T1^8*T2^13 + 533*T1^9*T2^13 + 564*T1^10*T2^13 - 2352*T1^11*T2^13 + 
     1235*T1^12*T2^13 - 23*T1^13*T2^13 - 1164*T1^14*T2^13 + 
     1218*T1^15*T2^13 - 513*T1^16*T2^13 + 159*T1^6*T2^14 - 250*T1^7*T2^14 - 
     111*T1^8*T2^14 + 852*T1^9*T2^14 - 1261*T1^10*T2^14 + 1181*T1^11*T2^14 + 
     251*T1^12*T2^14 - 1164*T1^13*T2^14 + 1485*T1^14*T2^14 - 
     1006*T1^15*T2^14 + 327*T1^16*T2^14 - 104*T1^7*T2^15 + 330*T1^8*T2^15 - 
     466*T1^9*T2^15 + 246*T1^10*T2^15 + 286*T1^11*T2^15 - 1010*T1^12*T2^15 + 
     1218*T1^13*T2^15 - 1006*T1^14*T2^15 + 528*T1^15*T2^15 - 
     140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 327*T1^10*T2^16 - 
     513*T1^11*T2^16 + 605*T1^12*T2^16 - 513*T1^13*T2^16 + 327*T1^14*T2^16 - 
     140*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 647] -> 
  {((1 - T + T^2)^2*(3 - 4*T + 3*T^2 - 4*T^3 + 3*T^4))/T^4, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (219 - 503*T1 + 712*T1^2 - 781*T1^3 + 712*T1^4 - 503*T1^5 + 219*T1^6 - 
       503*T2 + 752*T1*T2 - 704*T1^2*T2 + 465*T1^3*T2 - 165*T1^4*T2 - 
       194*T1^5*T2 + 452*T1^6*T2 - 413*T1^7*T2 + 712*T2^2 - 704*T1*T2^2 + 
       536*T1^2*T2^2 - 354*T1^3*T2^2 + 218*T1^4*T2^2 + 6*T1^5*T2^2 - 
       94*T1^6*T2^2 - 74*T1^7*T2^2 + 442*T1^8*T2^2 - 781*T2^3 + 465*T1*T2^3 - 
       354*T1^2*T2^3 + 236*T1^3*T2^3 - 111*T1^4*T2^3 - 177*T1^5*T2^3 + 
       258*T1^6*T2^3 - 134*T1^7*T2^3 - 129*T1^8*T2^3 - 385*T1^9*T2^3 + 
       712*T2^4 - 165*T1*T2^4 + 218*T1^2*T2^4 - 111*T1^3*T2^4 - 
       54*T1^4*T2^4 + 350*T1^5*T2^4 - 312*T1^6*T2^4 + 153*T1^7*T2^4 + 
       104*T1^8*T2^4 + 291*T1^9*T2^4 + 262*T1^10*T2^4 - 503*T2^5 - 
       194*T1*T2^5 + 6*T1^2*T2^5 - 177*T1^3*T2^5 + 350*T1^4*T2^5 - 
       436*T1^5*T2^5 + 124*T1^6*T2^5 + 100*T1^7*T2^5 - 295*T1^8*T2^5 - 
       34*T1^9*T2^5 - 410*T1^10*T2^5 - 89*T1^11*T2^5 + 219*T2^6 + 
       452*T1*T2^6 - 94*T1^2*T2^6 + 258*T1^3*T2^6 - 312*T1^4*T2^6 + 
       124*T1^5*T2^6 + 264*T1^6*T2^6 - 336*T1^7*T2^6 + 340*T1^8*T2^6 - 
       70*T1^9*T2^6 + 350*T1^10*T2^6 + 200*T1^11*T2^6 + 3*T1^12*T2^6 - 
       413*T1*T2^7 - 74*T1^2*T2^7 - 134*T1^3*T2^7 + 153*T1^4*T2^7 + 
       100*T1^5*T2^7 - 336*T1^6*T2^7 + 224*T1^7*T2^7 - 150*T1^8*T2^7 + 
       35*T1^9*T2^7 - 174*T1^10*T2^7 - 290*T1^11*T2^7 + T1^12*T2^7 + 
       442*T1^2*T2^8 - 129*T1^3*T2^8 + 104*T1^4*T2^8 - 295*T1^5*T2^8 + 
       340*T1^6*T2^8 - 150*T1^7*T2^8 + 82*T1^8*T2^8 - 31*T1^9*T2^8 - 
       10*T1^10*T2^8 + 327*T1^11*T2^8 - 8*T1^12*T2^8 - 385*T1^3*T2^9 + 
       291*T1^4*T2^9 - 34*T1^5*T2^9 - 70*T1^6*T2^9 + 35*T1^7*T2^9 - 
       31*T1^8*T2^9 - 48*T1^9*T2^9 + 186*T1^10*T2^9 - 303*T1^11*T2^9 + 
       11*T1^12*T2^9 + 262*T1^4*T2^10 - 410*T1^5*T2^10 + 350*T1^6*T2^10 - 
       174*T1^7*T2^10 - 10*T1^8*T2^10 + 186*T1^9*T2^10 - 280*T1^10*T2^10 + 
       220*T1^11*T2^10 - 8*T1^12*T2^10 - 89*T1^5*T2^11 + 200*T1^6*T2^11 - 
       290*T1^7*T2^11 + 327*T1^8*T2^11 - 303*T1^9*T2^11 + 220*T1^10*T2^11 - 
       100*T1^11*T2^11 + T1^12*T2^11 + 3*T1^6*T2^12 + T1^7*T2^12 - 
       8*T1^8*T2^12 + 11*T1^9*T2^12 - 8*T1^10*T2^12 + T1^11*T2^12 + 
       3*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 648] -> 
  {((1 - T + T^2)*(5 - 12*T + 15*T^2 - 12*T^3 + 5*T^4))/T^3, 
   -((790 - 2656*T1 + 4980*T1^2 - 6062*T1^3 + 4980*T1^4 - 2656*T1^5 + 
      790*T1^6 - 2656*T2 + 6723*T1*T2 - 9295*T1^2*T2 + 6376*T1^3*T2 + 
      341*T1^4*T2 - 5130*T1^5*T2 + 4853*T1^6*T2 - 2231*T1^7*T2 + 4980*T2^2 - 
      9295*T1*T2^2 + 9389*T1^2*T2^2 - 1688*T1^3*T2^2 - 5763*T1^4*T2^2 + 
      5352*T1^5*T2^2 + 749*T1^6*T2^2 - 3855*T1^7*T2^2 + 3380*T1^8*T2^2 - 
      6062*T2^3 + 6376*T1*T2^3 - 1688*T1^2*T2^3 - 8225*T1^3*T2^3 + 
      9424*T1^4*T2^3 - 535*T1^5*T2^3 - 7309*T1^6*T2^3 + 5064*T1^7*T2^3 - 
      849*T1^8*T2^3 - 3137*T1^9*T2^3 + 4980*T2^4 + 341*T1*T2^4 - 
      5763*T1^2*T2^4 + 9424*T1^3*T2^4 + 1019*T1^4*T2^4 - 13247*T1^5*T2^4 + 
      12911*T1^6*T2^4 - 1418*T1^7*T2^4 - 3701*T1^8*T2^4 + 4591*T1^9*T2^4 + 
      1780*T1^10*T2^4 - 2656*T2^5 - 5130*T1*T2^5 + 5352*T1^2*T2^5 - 
      535*T1^3*T2^5 - 13247*T1^4*T2^5 + 15455*T1^5*T2^5 - 2535*T1^6*T2^5 - 
      10303*T1^7*T2^5 + 7658*T1^8*T2^5 - 2552*T1^9*T2^5 - 4195*T1^10*T2^5 - 
      531*T1^11*T2^5 + 790*T2^6 + 4853*T1*T2^6 + 749*T1^2*T2^6 - 
      7309*T1^3*T2^6 + 12911*T1^4*T2^6 - 2535*T1^5*T2^6 - 12024*T1^6*T2^6 + 
      13859*T1^7*T2^6 - 2101*T1^8*T2^6 - 3635*T1^9*T2^6 + 5361*T1^10*T2^6 + 
      1623*T1^11*T2^6 + 40*T1^12*T2^6 - 2231*T1*T2^7 - 3855*T1^2*T2^7 + 
      5064*T1^3*T2^7 - 1418*T1^4*T2^7 - 10303*T1^5*T2^7 + 13859*T1^6*T2^7 - 
      4131*T1^7*T2^7 - 7359*T1^8*T2^7 + 6775*T1^9*T2^7 - 2840*T1^10*T2^7 - 
      2920*T1^11*T2^7 - 106*T1^12*T2^7 + 3380*T1^2*T2^8 - 849*T1^3*T2^8 - 
      3701*T1^4*T2^8 + 7658*T1^5*T2^8 - 2101*T1^6*T2^8 - 7359*T1^7*T2^8 + 
      9791*T1^8*T2^8 - 3184*T1^9*T2^8 - 1639*T1^10*T2^8 + 3401*T1^11*T2^8 + 
      180*T1^12*T2^8 - 3137*T1^3*T2^9 + 4591*T1^4*T2^9 - 2552*T1^5*T2^9 - 
      3635*T1^6*T2^9 + 6775*T1^7*T2^9 - 3184*T1^8*T2^9 - 2719*T1^9*T2^9 + 
      4200*T1^10*T2^9 - 2634*T1^11*T2^9 - 212*T1^12*T2^9 + 1780*T1^4*T2^10 - 
      4195*T1^5*T2^10 + 5361*T1^6*T2^10 - 2840*T1^7*T2^10 - 1639*T1^8*T2^10 + 
      4200*T1^9*T2^10 - 3279*T1^10*T2^10 + 1245*T1^11*T2^10 + 
      180*T1^12*T2^10 - 531*T1^5*T2^11 + 1623*T1^6*T2^11 - 2920*T1^7*T2^11 + 
      3401*T1^8*T2^11 - 2634*T1^9*T2^11 + 1245*T1^10*T2^11 - 
      247*T1^11*T2^11 - 106*T1^12*T2^11 + 40*T1^6*T2^12 - 106*T1^7*T2^12 + 
      180*T1^8*T2^12 - 212*T1^9*T2^12 + 180*T1^10*T2^12 - 106*T1^11*T2^12 + 
      40*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 649] -> 
  {-((1 - 7*T + 17*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 17*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 51*T1^2 + 75*T1^3 - 81*T1^4 + 75*T1^5 - 51*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 259*T1^2*T2 - 287*T1^3*T2 + 
      217*T1^4*T2 - 147*T1^5*T2 + 7*T1^6*T2 + 91*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 51*T2^2 + 259*T1*T2^2 - 198*T1^2*T2^2 - 270*T1^3*T2^2 + 
      778*T1^4*T2^2 - 938*T1^5*T2^2 + 1118*T1^6*T2^2 - 882*T1^7*T2^2 + 
      346*T1^8*T2^2 + 21*T1^9*T2^2 - 17*T1^10*T2^2 + 75*T2^3 - 287*T1*T2^3 - 
      270*T1^2*T2^3 + 1316*T1^3*T2^3 - 1854*T1^4*T2^3 + 1546*T1^5*T2^3 - 
      1492*T1^6*T2^3 + 594*T1^7*T2^3 + 410*T1^8*T2^3 - 593*T1^9*T2^3 + 
      119*T1^10*T2^3 - 81*T2^4 + 217*T1*T2^4 + 778*T1^2*T2^4 - 
      1854*T1^3*T2^4 + 1685*T1^4*T2^4 - 649*T1^5*T2^4 + 497*T1^6*T2^4 + 
      907*T1^7*T2^4 - 1807*T1^8*T2^4 + 1046*T1^9*T2^4 + 164*T1^10*T2^4 - 
      189*T1^11*T2^4 + 27*T1^12*T2^4 + 75*T2^5 - 147*T1*T2^5 - 
      938*T1^2*T2^5 + 1546*T1^3*T2^5 - 649*T1^4*T2^5 - 391*T1^5*T2^5 - 
      25*T1^6*T2^5 - 1311*T1^7*T2^5 + 1431*T1^8*T2^5 + 518*T1^9*T2^5 - 
      1568*T1^10*T2^5 + 481*T1^11*T2^5 + 161*T1^12*T2^5 - 50*T1^13*T2^5 - 
      51*T2^6 + 7*T1*T2^6 + 1118*T1^2*T2^6 - 1492*T1^3*T2^6 + 497*T1^4*T2^6 - 
      25*T1^5*T2^6 + 555*T1^6*T2^6 + 1335*T1^7*T2^6 - 1233*T1^8*T2^6 - 
      899*T1^9*T2^6 + 439*T1^10*T2^6 + 1432*T1^11*T2^6 - 1130*T1^12*T2^6 - 
      7*T1^13*T2^6 + 51*T1^14*T2^6 + 21*T2^7 + 91*T1*T2^7 - 882*T1^2*T2^7 + 
      594*T1^3*T2^7 + 907*T1^4*T2^7 - 1311*T1^5*T2^7 + 1335*T1^6*T2^7 - 
      2996*T1^7*T2^7 + 1566*T1^8*T2^7 + 972*T1^9*T2^7 + 799*T1^10*T2^7 - 
      1816*T1^11*T2^7 - 46*T1^12*T2^7 + 1175*T1^13*T2^7 - 161*T1^14*T2^7 - 
      28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 346*T1^2*T2^8 + 410*T1^3*T2^8 - 
      1807*T1^4*T2^8 + 1431*T1^5*T2^8 - 1233*T1^6*T2^8 + 1566*T1^7*T2^8 + 
      540*T1^8*T2^8 - 2094*T1^9*T2^8 - 891*T1^10*T2^8 + 269*T1^11*T2^8 + 
      1961*T1^12*T2^8 - 1634*T1^13*T2^8 - 420*T1^14*T2^8 + 161*T1^15*T2^8 + 
      5*T1^16*T2^8 + 14*T1*T2^9 + 21*T1^2*T2^9 - 593*T1^3*T2^9 + 
      1046*T1^4*T2^9 + 518*T1^5*T2^9 - 899*T1^6*T2^9 + 972*T1^7*T2^9 - 
      2094*T1^8*T2^9 + 2468*T1^9*T2^9 + 609*T1^10*T2^9 + 1211*T1^11*T2^9 - 
      2205*T1^12*T2^9 + 406*T1^13*T2^9 + 1464*T1^14*T2^9 - 231*T1^15*T2^9 - 
      35*T1^16*T2^9 - 17*T1^2*T2^10 + 119*T1^3*T2^10 + 164*T1^4*T2^10 - 
      1568*T1^5*T2^10 + 439*T1^6*T2^10 + 799*T1^7*T2^10 - 891*T1^8*T2^10 + 
      609*T1^9*T2^10 - 2679*T1^10*T2^10 - 75*T1^11*T2^10 + 381*T1^12*T2^10 + 
      1356*T1^13*T2^10 - 2084*T1^14*T2^10 + 105*T1^15*T2^10 + 
      85*T1^16*T2^10 - 189*T1^4*T2^11 + 481*T1^5*T2^11 + 1432*T1^6*T2^11 - 
      1816*T1^7*T2^11 + 269*T1^8*T2^11 + 1211*T1^9*T2^11 - 75*T1^10*T2^11 + 
      2091*T1^11*T2^11 - 649*T1^12*T2^11 - 1682*T1^13*T2^11 + 
      1900*T1^14*T2^11 + 119*T1^15*T2^11 - 125*T1^16*T2^11 + 27*T1^4*T2^12 + 
      161*T1^5*T2^12 - 1130*T1^6*T2^12 - 46*T1^7*T2^12 + 1961*T1^8*T2^12 - 
      2205*T1^9*T2^12 + 381*T1^10*T2^12 - 649*T1^11*T2^12 - 
      1531*T1^12*T2^12 + 2854*T1^13*T2^12 - 1744*T1^14*T2^12 - 
      245*T1^15*T2^12 + 135*T1^16*T2^12 - 50*T1^5*T2^13 - 7*T1^6*T2^13 + 
      1175*T1^7*T2^13 - 1634*T1^8*T2^13 + 406*T1^9*T2^13 + 1356*T1^10*T2^13 - 
      1682*T1^11*T2^13 + 2854*T1^12*T2^13 - 2540*T1^13*T2^13 + 
      852*T1^14*T2^13 + 399*T1^15*T2^13 - 125*T1^16*T2^13 + 51*T1^6*T2^14 - 
      161*T1^7*T2^14 - 420*T1^8*T2^14 + 1464*T1^9*T2^14 - 2084*T1^10*T2^14 + 
      1900*T1^11*T2^14 - 1744*T1^12*T2^14 + 852*T1^13*T2^14 + 
      124*T1^14*T2^14 - 399*T1^15*T2^14 + 85*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 231*T1^9*T2^15 + 105*T1^10*T2^15 + 119*T1^11*T2^15 - 
      245*T1^12*T2^15 + 399*T1^13*T2^15 - 399*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 85*T1^10*T2^16 - 
      125*T1^11*T2^16 + 135*T1^12*T2^16 - 125*T1^13*T2^16 + 85*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 650] -> 
  {-((2 - 15*T + 39*T^2 - 53*T^3 + 39*T^4 - 15*T^5 + 2*T^6)/T^3), 
   -((-23 + 173*T1 - 451*T1^2 + 613*T1^3 - 451*T1^4 + 173*T1^5 - 23*T1^6 + 
      173*T2 - 1188*T1*T2 + 2540*T1^2*T2 - 2388*T1^3*T2 + 372*T1^4*T2 + 
      920*T1^5*T2 - 678*T1^6*T2 + 113*T1^7*T2 - 451*T2^2 + 2540*T1*T2^2 - 
      2563*T1^2*T2^2 - 3675*T1^3*T2^2 + 11157*T1^4*T2^2 - 9603*T1^5*T2^2 + 
      3209*T1^6*T2^2 + 200*T1^7*T2^2 - 139*T1^8*T2^2 + 613*T2^3 - 
      2388*T1*T2^3 - 3675*T1^2*T2^3 + 19397*T1^3*T2^3 - 26345*T1^4*T2^3 + 
      10303*T1^5*T2^3 + 5297*T1^6*T2^3 - 6132*T1^7*T2^3 + 1212*T1^8*T2^3 - 
      23*T1^9*T2^3 - 451*T2^4 + 372*T1*T2^4 + 11157*T1^2*T2^4 - 
      26345*T1^3*T2^4 + 15941*T1^4*T2^4 + 20199*T1^5*T2^4 - 32935*T1^6*T2^4 + 
      15949*T1^7*T2^4 - 525*T1^8*T2^4 - 1128*T1^9*T2^4 + 173*T1^10*T2^4 + 
      173*T2^5 + 920*T1*T2^5 - 9603*T1^2*T2^5 + 10303*T1^3*T2^5 + 
      20199*T1^4*T2^5 - 55784*T1^5*T2^5 + 42160*T1^6*T2^5 - 744*T1^7*T2^5 - 
      15053*T1^8*T2^5 + 6738*T1^9*T2^5 - 340*T1^10*T2^5 - 127*T1^11*T2^5 - 
      23*T2^6 - 678*T1*T2^6 + 3209*T1^2*T2^6 + 5297*T1^3*T2^6 - 
      32935*T1^4*T2^6 + 42160*T1^5*T2^6 - 2244*T1^6*T2^6 - 40496*T1^7*T2^6 + 
      32855*T1^8*T2^6 - 6505*T1^9*T2^6 - 3271*T1^10*T2^6 + 762*T1^11*T2^6 + 
      25*T1^12*T2^6 + 113*T1*T2^7 + 200*T1^2*T2^7 - 6132*T1^3*T2^7 + 
      15949*T1^4*T2^7 - 744*T1^5*T2^7 - 40496*T1^6*T2^7 + 57448*T1^7*T2^7 - 
      21687*T1^8*T2^7 - 9407*T1^9*T2^7 + 10209*T1^10*T2^7 - 1060*T1^11*T2^7 - 
      187*T1^12*T2^7 - 139*T1^2*T2^8 + 1212*T1^3*T2^8 - 525*T1^4*T2^8 - 
      15053*T1^5*T2^8 + 32855*T1^6*T2^8 - 21687*T1^7*T2^8 - 16021*T1^8*T2^8 + 
      27241*T1^9*T2^8 - 12207*T1^10*T2^8 - 288*T1^11*T2^8 + 485*T1^12*T2^8 - 
      23*T1^3*T2^9 - 1128*T1^4*T2^9 + 6738*T1^5*T2^9 - 6505*T1^6*T2^9 - 
      9407*T1^7*T2^9 + 27241*T1^8*T2^9 - 20605*T1^9*T2^9 + 4281*T1^10*T2^9 + 
      2472*T1^11*T2^9 - 659*T1^12*T2^9 + 173*T1^4*T2^10 - 340*T1^5*T2^10 - 
      3271*T1^6*T2^10 + 10209*T1^7*T2^10 - 12207*T1^8*T2^10 + 
      4281*T1^9*T2^10 + 2501*T1^10*T2^10 - 2680*T1^11*T2^10 + 
      485*T1^12*T2^10 - 127*T1^5*T2^11 + 762*T1^6*T2^11 - 1060*T1^7*T2^11 - 
      288*T1^8*T2^11 + 2472*T1^9*T2^11 - 2680*T1^10*T2^11 + 
      1272*T1^11*T2^11 - 187*T1^12*T2^11 + 25*T1^6*T2^12 - 187*T1^7*T2^12 + 
      485*T1^8*T2^12 - 659*T1^9*T2^12 + 485*T1^10*T2^12 - 187*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 651] -> 
  {(1 - 7*T + 15*T^2 - 17*T^3 + 17*T^4 - 17*T^5 + 15*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 90*T1^2 + 102*T1^3 - 102*T1^4 + 102*T1^5 - 90*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 385*T1^2*T2 - 189*T1^3*T2 + 
     119*T1^4*T2 - 119*T1^5*T2 + 35*T1^6*T2 + 231*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 90*T2^2 + 385*T1*T2^2 + 305*T1^2*T2^2 - 1725*T1^3*T2^2 + 
     1739*T1^4*T2^2 - 1621*T1^5*T2^2 + 1799*T1^6*T2^2 - 2025*T1^7*T2^2 + 
     725*T1^8*T2^2 + 175*T1^9*T2^2 - 60*T1^10*T2^2 + 102*T2^3 - 189*T1*T2^3 - 
     1725*T1^2*T2^3 + 3270*T1^3*T2^3 - 1292*T1^4*T2^3 + 830*T1^5*T2^3 - 
     1108*T1^6*T2^3 + 844*T1^7*T2^3 + 1878*T1^8*T2^3 - 1650*T1^9*T2^3 + 
     63*T1^10*T2^3 + 51*T1^11*T2^3 - 102*T2^4 + 119*T1*T2^4 + 
     1739*T1^2*T2^4 - 1292*T1^3*T2^4 - 2705*T1^4*T2^4 + 2115*T1^5*T2^4 - 
     1485*T1^6*T2^4 + 1911*T1^7*T2^4 - 3997*T1^8*T2^4 + 884*T1^9*T2^4 + 
     1093*T1^10*T2^4 - 119*T1^11*T2^4 - 34*T1^12*T2^4 + 102*T2^5 - 
     119*T1*T2^5 - 1621*T1^2*T2^5 + 830*T1^3*T2^5 + 2115*T1^4*T2^5 + 
     337*T1^5*T2^5 - 753*T1^6*T2^5 + 131*T1^7*T2^5 + 1459*T1^8*T2^5 + 
     1486*T1^9*T2^5 - 1040*T1^10*T2^5 - 652*T1^11*T2^5 + 119*T1^12*T2^5 + 
     17*T1^13*T2^5 - 90*T2^6 + 35*T1*T2^6 + 1799*T1^2*T2^6 - 1108*T1^3*T2^6 - 
     1485*T1^4*T2^6 - 753*T1^5*T2^6 - 16*T1^6*T2^6 + 1116*T1^7*T2^6 - 
     2496*T1^8*T2^6 + 233*T1^9*T2^6 - 907*T1^10*T2^6 + 932*T1^11*T2^6 + 
     327*T1^12*T2^6 - 119*T1^13*T2^6 + 42*T2^7 + 231*T1*T2^7 - 
     2025*T1^2*T2^7 + 844*T1^3*T2^7 + 1911*T1^4*T2^7 + 131*T1^5*T2^7 + 
     1116*T1^6*T2^7 - 1796*T1^7*T2^7 + 1700*T1^8*T2^7 + 719*T1^9*T2^7 - 
     549*T1^10*T2^7 + 840*T1^11*T2^7 - 1132*T1^12*T2^7 + 150*T1^13*T2^7 + 
     49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 725*T1^2*T2^8 + 
     1878*T1^3*T2^8 - 3997*T1^4*T2^8 + 1459*T1^5*T2^8 - 2496*T1^6*T2^8 + 
     1700*T1^7*T2^8 + 324*T1^8*T2^8 - 2084*T1^9*T2^8 + 1246*T1^10*T2^8 - 
     887*T1^11*T2^8 + 595*T1^12*T2^8 + 430*T1^13*T2^8 - 313*T1^14*T2^8 + 
     35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 175*T1^2*T2^9 - 
     1650*T1^3*T2^9 + 884*T1^4*T2^9 + 1486*T1^5*T2^9 + 233*T1^6*T2^9 + 
     719*T1^7*T2^9 - 2084*T1^8*T2^9 + 1412*T1^9*T2^9 + 322*T1^10*T2^9 - 
     447*T1^11*T2^9 + 415*T1^12*T2^9 - 1092*T1^13*T2^9 + 525*T1^14*T2^9 - 
     7*T1^15*T2^9 - 14*T1^16*T2^9 - 60*T1^2*T2^10 + 63*T1^3*T2^10 + 
     1093*T1^4*T2^10 - 1040*T1^5*T2^10 - 907*T1^6*T2^10 - 549*T1^7*T2^10 + 
     1246*T1^8*T2^10 + 322*T1^9*T2^10 - 1234*T1^10*T2^10 + 437*T1^11*T2^10 - 
     329*T1^12*T2^10 + 1000*T1^13*T2^10 - 379*T1^14*T2^10 - 91*T1^15*T2^10 + 
     30*T1^16*T2^10 + 51*T1^3*T2^11 - 119*T1^4*T2^11 - 652*T1^5*T2^11 + 
     932*T1^6*T2^11 + 840*T1^7*T2^11 - 887*T1^8*T2^11 - 447*T1^9*T2^11 + 
     437*T1^10*T2^11 + 235*T1^11*T2^11 + 211*T1^12*T2^11 - 938*T1^13*T2^11 + 
     317*T1^14*T2^11 + 119*T1^15*T2^11 - 34*T1^16*T2^11 - 34*T1^4*T2^12 + 
     119*T1^5*T2^12 + 327*T1^6*T2^12 - 1132*T1^7*T2^12 + 595*T1^8*T2^12 + 
     415*T1^9*T2^12 - 329*T1^10*T2^12 + 211*T1^11*T2^12 - 697*T1^12*T2^12 + 
     1044*T1^13*T2^12 - 319*T1^14*T2^12 - 119*T1^15*T2^12 + 34*T1^16*T2^12 + 
     17*T1^5*T2^13 - 119*T1^6*T2^13 + 150*T1^7*T2^13 + 430*T1^8*T2^13 - 
     1092*T1^9*T2^13 + 1000*T1^10*T2^13 - 938*T1^11*T2^13 + 
     1044*T1^12*T2^13 - 962*T1^13*T2^13 + 225*T1^14*T2^13 + 133*T1^15*T2^13 - 
     34*T1^16*T2^13 + 49*T1^7*T2^14 - 313*T1^8*T2^14 + 525*T1^9*T2^14 - 
     379*T1^10*T2^14 + 317*T1^11*T2^14 - 319*T1^12*T2^14 + 225*T1^13*T2^14 + 
     107*T1^14*T2^14 - 161*T1^15*T2^14 + 30*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 7*T1^9*T2^15 - 91*T1^10*T2^15 + 119*T1^11*T2^15 - 
     119*T1^12*T2^15 + 133*T1^13*T2^15 - 161*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 30*T1^10*T2^16 - 
     34*T1^11*T2^16 + 34*T1^12*T2^16 - 34*T1^13*T2^16 + 30*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 652] -> 
  {(2 - 15*T + 37*T^2 - 47*T^3 + 37*T^4 - 15*T^5 + 2*T^6)/T^3, 
   (-33 + 247*T1 - 607*T1^2 + 769*T1^3 - 607*T1^4 + 247*T1^5 - 33*T1^6 + 
     247*T2 - 1662*T1*T2 + 3146*T1^2*T2 - 2324*T1^3*T2 + 196*T1^4*T2 + 
     1586*T1^5*T2 - 1152*T1^6*T2 + 187*T1^7*T2 - 607*T2^2 + 3146*T1*T2^2 - 
     1020*T1^2*T2^2 - 9210*T1^3*T2^2 + 15672*T1^4*T2^2 - 13946*T1^5*T2^2 + 
     4160*T1^6*T2^2 + 926*T1^7*T2^2 - 311*T1^8*T2^2 + 769*T2^3 - 
     2324*T1*T2^3 - 9210*T1^2*T2^3 + 28079*T1^3*T2^3 - 24853*T1^4*T2^3 + 
     7103*T1^5*T2^3 + 13037*T1^6*T2^3 - 10209*T1^7*T2^3 + 796*T1^8*T2^3 + 
     205*T1^9*T2^3 - 607*T2^4 + 196*T1*T2^4 + 15672*T1^2*T2^4 - 
     24853*T1^3*T2^4 - 3529*T1^4*T2^4 + 30879*T1^5*T2^4 - 38289*T1^6*T2^4 + 
     10585*T1^7*T2^4 + 5474*T1^8*T2^4 - 1424*T1^9*T2^4 - 15*T1^10*T2^4 + 
     247*T2^5 + 1586*T1*T2^5 - 13946*T1^2*T2^5 + 7103*T1^3*T2^5 + 
     30879*T1^4*T2^5 - 41136*T1^5*T2^5 + 20910*T1^6*T2^5 + 16486*T1^7*T2^5 - 
     17889*T1^8*T2^5 + 2001*T1^9*T2^5 + 506*T1^10*T2^5 - 53*T1^11*T2^5 - 
     33*T2^6 - 1152*T1*T2^6 + 4160*T1^2*T2^6 + 13037*T1^3*T2^6 - 
     38289*T1^4*T2^6 + 20910*T1^5*T2^6 + 14424*T1^6*T2^6 - 35566*T1^7*T2^6 + 
     16129*T1^8*T2^6 + 4139*T1^9*T2^6 - 2976*T1^10*T2^6 + 288*T1^11*T2^6 + 
     15*T1^12*T2^6 + 187*T1*T2^7 + 926*T1^2*T2^7 - 10209*T1^3*T2^7 + 
     10585*T1^4*T2^7 + 16486*T1^5*T2^7 - 35566*T1^6*T2^7 + 26480*T1^7*T2^7 + 
     2093*T1^8*T2^7 - 14407*T1^9*T2^7 + 5738*T1^10*T2^7 - 154*T1^11*T2^7 - 
     113*T1^12*T2^7 - 311*T1^2*T2^8 + 796*T1^3*T2^8 + 5474*T1^4*T2^8 - 
     17889*T1^5*T2^8 + 16129*T1^6*T2^8 + 2093*T1^7*T2^8 - 18631*T1^8*T2^8 + 
     17549*T1^9*T2^8 - 4724*T1^10*T2^8 - 824*T1^11*T2^8 + 281*T1^12*T2^8 + 
     205*T1^3*T2^9 - 1424*T1^4*T2^9 + 2001*T1^5*T2^9 + 4139*T1^6*T2^9 - 
     14407*T1^7*T2^9 + 17549*T1^8*T2^9 - 10903*T1^9*T2^9 + 1002*T1^10*T2^9 + 
     1696*T1^11*T2^9 - 359*T1^12*T2^9 - 15*T1^4*T2^10 + 506*T1^5*T2^10 - 
     2976*T1^6*T2^10 + 5738*T1^7*T2^10 - 4724*T1^8*T2^10 + 1002*T1^9*T2^10 + 
     2204*T1^10*T2^10 - 1714*T1^11*T2^10 + 281*T1^12*T2^10 - 53*T1^5*T2^11 + 
     288*T1^6*T2^11 - 154*T1^7*T2^11 - 824*T1^8*T2^11 + 1696*T1^9*T2^11 - 
     1714*T1^10*T2^11 + 798*T1^11*T2^11 - 113*T1^12*T2^11 + 15*T1^6*T2^12 - 
     113*T1^7*T2^12 + 281*T1^8*T2^12 - 359*T1^9*T2^12 + 281*T1^10*T2^12 - 
     113*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 653] -> {(11 - 36*T + 51*T^2 - 36*T^3 + 11*T^4)/T^2, 
   -((5973 - 19323*T1 + 27299*T1^2 - 19323*T1^3 + 5973*T1^4 - 19323*T2 + 
      47650*T1*T2 - 40142*T1^2*T2 - 5690*T1^3*T2 + 29038*T1^4*T2 - 
      14967*T1^5*T2 + 27299*T2^2 - 40142*T1*T2^2 - 16763*T1^2*T2^2 + 
      85087*T1^3*T2^2 - 61643*T1^4*T2^2 + 250*T1^5*T2^2 + 14957*T1^6*T2^2 - 
      19323*T2^3 - 5690*T1*T2^3 + 85087*T1^2*T2^3 - 101516*T1^3*T2^3 + 
      2380*T1^4*T2^3 + 59383*T1^5*T2^3 - 28262*T1^6*T2^3 - 6255*T1^7*T2^3 + 
      5973*T2^4 + 29038*T1*T2^4 - 61643*T1^2*T2^4 + 2380*T1^3*T2^4 + 
      96996*T1^4*T2^4 - 83876*T1^5*T2^4 + 6985*T1^6*T2^4 + 17950*T1^7*T2^4 + 
      649*T1^8*T2^4 - 14967*T1*T2^5 + 250*T1^2*T2^5 + 59383*T1^3*T2^5 - 
      83876*T1^4*T2^5 + 20020*T1^5*T2^5 + 33679*T1^6*T2^5 - 22322*T1^7*T2^5 - 
      1899*T1^8*T2^5 + 14957*T1^2*T2^6 - 28262*T1^3*T2^6 + 6985*T1^4*T2^6 + 
      33679*T1^5*T2^6 - 37895*T1^6*T2^6 + 12130*T1^7*T2^6 + 2615*T1^8*T2^6 - 
      6255*T1^3*T2^7 + 17950*T1^4*T2^7 - 22322*T1^5*T2^7 + 12130*T1^6*T2^7 - 
      662*T1^7*T2^7 - 1899*T1^8*T2^7 + 649*T1^4*T2^8 - 1899*T1^5*T2^8 + 
      2615*T1^6*T2^8 - 1899*T1^7*T2^8 + 649*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 654] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(3 - 5*T + 3*T^2))/T^3), 
   -((-144 + 808*T1 - 1792*T1^2 + 2306*T1^3 - 1792*T1^4 + 808*T1^5 - 
      144*T1^6 + 808*T2 - 3883*T1*T2 + 6404*T1^2*T2 - 4831*T1^3*T2 - 
      394*T1^4*T2 + 3599*T1^5*T2 - 2863*T1^6*T2 + 655*T1^7*T2 - 1792*T2^2 + 
      6404*T1*T2^2 - 2958*T1^2*T2^2 - 10549*T1^3*T2^2 + 22530*T1^4*T2^2 - 
      17845*T1^5*T2^2 + 5022*T1^6*T2^2 + 2528*T1^7*T2^2 - 1108*T1^8*T2^2 + 
      2306*T2^3 - 4831*T1*T2^3 - 10549*T1^2*T2^3 + 30589*T1^3*T2^3 - 
      30311*T1^4*T2^3 + 1636*T1^5*T2^3 + 17991*T1^6*T2^3 - 14387*T1^7*T2^3 + 
      728*T1^8*T2^3 + 983*T1^9*T2^3 - 1792*T2^4 - 394*T1*T2^4 + 
      22530*T1^2*T2^4 - 30311*T1^3*T2^4 + 4436*T1^4*T2^4 + 35094*T1^5*T2^4 - 
      32916*T1^6*T2^4 + 5655*T1^7*T2^4 + 11536*T1^8*T2^4 - 3148*T1^9*T2^4 - 
      424*T1^10*T2^4 + 808*T2^5 + 3599*T1*T2^5 - 17845*T1^2*T2^5 + 
      1636*T1^3*T2^5 + 35094*T1^4*T2^5 - 50047*T1^5*T2^5 + 10457*T1^6*T2^5 + 
      23770*T1^7*T2^5 - 22273*T1^8*T2^5 - 175*T1^9*T2^5 + 2120*T1^10*T2^5 + 
      43*T1^11*T2^5 - 144*T2^6 - 2863*T1*T2^6 + 5022*T1^2*T2^6 + 
      17991*T1^3*T2^6 - 32916*T1^4*T2^6 + 10457*T1^5*T2^6 + 36972*T1^6*T2^6 - 
      42417*T1^7*T2^6 + 13572*T1^8*T2^6 + 10177*T1^9*T2^6 - 3914*T1^10*T2^6 - 
      313*T1^11*T2^6 + 18*T1^12*T2^6 + 655*T1*T2^7 + 2528*T1^2*T2^7 - 
      14387*T1^3*T2^7 + 5655*T1^4*T2^7 + 23770*T1^5*T2^7 - 42417*T1^6*T2^7 + 
      18087*T1^7*T2^7 + 12446*T1^8*T2^7 - 18254*T1^9*T2^7 + 3283*T1^10*T2^7 + 
      1049*T1^11*T2^7 - 110*T1^12*T2^7 - 1108*T1^2*T2^8 + 728*T1^3*T2^8 + 
      11536*T1^4*T2^8 - 22273*T1^5*T2^8 + 13572*T1^6*T2^8 + 12446*T1^7*T2^8 - 
      23780*T1^8*T2^8 + 13693*T1^9*T2^8 + 542*T1^10*T2^8 - 2026*T1^11*T2^8 + 
      260*T1^12*T2^8 + 983*T1^3*T2^9 - 3148*T1^4*T2^9 - 175*T1^5*T2^9 + 
      10177*T1^6*T2^9 - 18254*T1^7*T2^9 + 13693*T1^8*T2^9 - 2421*T1^9*T2^9 - 
      4013*T1^10*T2^9 + 2411*T1^11*T2^9 - 340*T1^12*T2^9 - 424*T1^4*T2^10 + 
      2120*T1^5*T2^10 - 3914*T1^6*T2^10 + 3283*T1^7*T2^10 + 542*T1^8*T2^10 - 
      4013*T1^9*T2^10 + 4066*T1^10*T2^10 - 1756*T1^11*T2^10 + 
      260*T1^12*T2^10 + 43*T1^5*T2^11 - 313*T1^6*T2^11 + 1049*T1^7*T2^11 - 
      2026*T1^8*T2^11 + 2411*T1^9*T2^11 - 1756*T1^10*T2^11 + 
      707*T1^11*T2^11 - 110*T1^12*T2^11 + 18*T1^6*T2^12 - 110*T1^7*T2^12 + 
      260*T1^8*T2^12 - 340*T1^9*T2^12 + 260*T1^10*T2^12 - 110*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 655] -> 
  {((1 - T + T^2)*(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4))/T^3, 
   (-128 + 556*T1 - 1196*T1^2 + 1504*T1^3 - 1196*T1^4 + 556*T1^5 - 128*T1^6 + 
     556*T2 - 2124*T1*T2 + 3923*T1^2*T2 - 3777*T1^3*T2 + 1731*T1^4*T2 + 
     319*T1^5*T2 - 696*T1^6*T2 + 284*T1^7*T2 - 1196*T2^2 + 3923*T1*T2^2 - 
     5745*T1^2*T2^2 + 2575*T1^3*T2^2 + 2797*T1^4*T2^2 - 5489*T1^5*T2^2 + 
     3471*T1^6*T2^2 - 973*T1^7*T2^2 - 44*T1^8*T2^2 + 1504*T2^3 - 
     3777*T1*T2^3 + 2575*T1^2*T2^3 + 5536*T1^3*T2^3 - 11703*T1^4*T2^3 + 
     9249*T1^5*T2^3 - 440*T1^6*T2^3 - 4013*T1^7*T2^3 + 2955*T1^8*T2^3 - 
     656*T1^9*T2^3 - 1196*T2^4 + 1731*T1*T2^4 + 2797*T1^2*T2^4 - 
     11703*T1^3*T2^4 + 11347*T1^4*T2^4 + 927*T1^5*T2^4 - 13061*T1^6*T2^4 + 
     11337*T1^7*T2^4 - 2477*T1^8*T2^4 - 1941*T1^9*T2^4 + 1108*T1^10*T2^4 + 
     556*T2^5 + 319*T1*T2^5 - 5489*T1^2*T2^5 + 9249*T1^3*T2^5 + 
     927*T1^4*T2^5 - 18592*T1^5*T2^5 + 22460*T1^6*T2^5 - 7209*T1^7*T2^5 - 
     7527*T1^8*T2^5 + 7003*T1^9*T2^5 - 1245*T1^10*T2^5 - 804*T1^11*T2^5 - 
     128*T2^6 - 696*T1*T2^6 + 3471*T1^2*T2^6 - 440*T1^3*T2^6 - 
     13061*T1^4*T2^6 + 22460*T1^5*T2^6 - 8256*T1^6*T2^6 - 14756*T1^7*T2^6 + 
     21319*T1^8*T2^6 - 7208*T1^9*T2^6 - 2357*T1^10*T2^6 + 2296*T1^11*T2^6 + 
     256*T1^12*T2^6 + 284*T1*T2^7 - 973*T1^2*T2^7 - 4013*T1^3*T2^7 + 
     11337*T1^4*T2^7 - 7209*T1^5*T2^7 - 14756*T1^6*T2^7 + 26296*T1^7*T2^7 - 
     15345*T1^8*T2^7 - 5439*T1^9*T2^7 + 8479*T1^10*T2^7 - 2537*T1^11*T2^7 - 
     1076*T1^12*T2^7 - 44*T1^2*T2^8 + 2955*T1^3*T2^8 - 2477*T1^4*T2^8 - 
     7527*T1^5*T2^8 + 21319*T1^6*T2^8 - 15345*T1^7*T2^8 - 3089*T1^8*T2^8 + 
     15513*T1^9*T2^8 - 7751*T1^10*T2^8 - 717*T1^11*T2^8 + 2260*T1^12*T2^8 - 
     656*T1^3*T2^9 - 1941*T1^4*T2^9 + 7003*T1^5*T2^9 - 7208*T1^6*T2^9 - 
     5439*T1^7*T2^9 + 15513*T1^8*T2^9 - 13184*T1^9*T2^9 + 415*T1^10*T2^9 + 
     4791*T1^11*T2^9 - 2816*T1^12*T2^9 + 1108*T1^4*T2^10 - 1245*T1^5*T2^10 - 
     2357*T1^6*T2^10 + 8479*T1^7*T2^10 - 7751*T1^8*T2^10 + 415*T1^9*T2^10 + 
     6859*T1^10*T2^10 - 6141*T1^11*T2^10 + 2260*T1^12*T2^10 - 
     804*T1^5*T2^11 + 2296*T1^6*T2^11 - 2537*T1^7*T2^11 - 717*T1^8*T2^11 + 
     4791*T1^9*T2^11 - 6141*T1^10*T2^11 + 3724*T1^11*T2^11 - 
     1076*T1^12*T2^11 + 256*T1^6*T2^12 - 1076*T1^7*T2^12 + 2260*T1^8*T2^12 - 
     2816*T1^9*T2^12 + 2260*T1^10*T2^12 - 1076*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 656] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-112 + 632*T1 - 1592*T1^2 + 2120*T1^3 - 1592*T1^4 + 632*T1^5 - 112*T1^6 + 
     632*T2 - 3282*T1*T2 + 7348*T1^2*T2 - 7814*T1^3*T2 + 3450*T1^4*T2 + 
     572*T1^5*T2 - 994*T1^6*T2 + 280*T1^7*T2 - 1592*T2^2 + 7348*T1*T2^2 - 
     13035*T1^2*T2^2 + 5528*T1^3*T2^2 + 10831*T1^4*T2^2 - 16912*T1^5*T2^2 + 
     9405*T1^6*T2^2 - 2332*T1^7*T2^2 + 168*T1^8*T2^2 + 2120*T2^3 - 
     7814*T1*T2^3 + 5528*T1^2*T2^3 + 21814*T1^3*T2^3 - 49346*T1^4*T2^3 + 
     38082*T1^5*T2^3 - 3904*T1^6*T2^3 - 11192*T1^7*T2^3 + 6618*T1^8*T2^3 - 
     1384*T1^9*T2^3 - 1592*T2^4 + 3450*T1*T2^4 + 10831*T1^2*T2^4 - 
     49346*T1^3*T2^4 + 61189*T1^4*T2^4 - 2445*T1^5*T2^4 - 57743*T1^6*T2^4 + 
     50226*T1^7*T2^4 - 11433*T1^8*T2^4 - 3062*T1^9*T2^4 + 1928*T1^10*T2^4 + 
     632*T2^5 + 572*T1*T2^5 - 16912*T1^2*T2^5 + 38082*T1^3*T2^5 - 
     2445*T1^4*T2^5 - 105019*T1^5*T2^5 + 140831*T1^6*T2^5 - 56290*T1^7*T2^5 - 
     25058*T1^8*T2^5 + 22688*T1^9*T2^5 - 4268*T1^10*T2^5 - 1128*T1^11*T2^5 - 
     112*T2^6 - 994*T1*T2^6 + 9405*T1^2*T2^6 - 3904*T1^3*T2^6 - 
     57743*T1^4*T2^6 + 140831*T1^5*T2^6 - 79020*T1^6*T2^6 - 71095*T1^7*T2^6 + 
     114759*T1^8*T2^6 - 37532*T1^9*T2^6 - 3707*T1^10*T2^6 + 4638*T1^11*T2^6 + 
     272*T1^12*T2^6 + 280*T1*T2^7 - 2332*T1^2*T2^7 - 11192*T1^3*T2^7 + 
     50226*T1^4*T2^7 - 56290*T1^5*T2^7 - 71095*T1^6*T2^7 + 174755*T1^7*T2^7 - 
     110135*T1^8*T2^7 - 12914*T1^9*T2^7 + 28408*T1^10*T2^7 - 
     7172*T1^11*T2^7 - 1480*T1^12*T2^7 + 168*T1^2*T2^8 + 6618*T1^3*T2^8 - 
     11433*T1^4*T2^8 - 25058*T1^5*T2^8 + 114759*T1^6*T2^8 - 
     110135*T1^7*T2^8 - 4173*T1^8*T2^8 + 74514*T1^9*T2^8 - 33697*T1^10*T2^8 + 
     106*T1^11*T2^8 + 3688*T1^12*T2^8 - 1384*T1^3*T2^9 - 3062*T1^4*T2^9 + 
     22688*T1^5*T2^9 - 37532*T1^6*T2^9 - 12914*T1^7*T2^9 + 74514*T1^8*T2^9 - 
     63250*T1^9*T2^9 + 5968*T1^10*T2^9 + 11370*T1^11*T2^9 - 4888*T1^12*T2^9 + 
     1928*T1^4*T2^10 - 4268*T1^5*T2^10 - 3707*T1^6*T2^10 + 28408*T1^7*T2^10 - 
     33697*T1^8*T2^10 + 5968*T1^9*T2^10 + 18733*T1^10*T2^10 - 
     13948*T1^11*T2^10 + 3688*T1^12*T2^10 - 1128*T1^5*T2^11 + 
     4638*T1^6*T2^11 - 7172*T1^7*T2^11 + 106*T1^8*T2^11 + 11370*T1^9*T2^11 - 
     13948*T1^10*T2^11 + 6926*T1^11*T2^11 - 1480*T1^12*T2^11 + 
     272*T1^6*T2^12 - 1480*T1^7*T2^12 + 3688*T1^8*T2^12 - 4888*T1^9*T2^12 + 
     3688*T1^10*T2^12 - 1480*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 657] -> 
  {(2 - 9*T + 22*T^2 - 36*T^3 + 43*T^4 - 36*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-33 + 148*T1 - 361*T1^2 + 590*T1^3 - 705*T1^4 + 590*T1^5 - 
     361*T1^6 + 148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1118*T1^2*T2 - 
     1424*T1^3*T2 + 1164*T1^4*T2 - 258*T1^5*T2 - 380*T1^6*T2 + 560*T1^7*T2 - 
     354*T1^8*T2 + 112*T1^9*T2 - 361*T2^2 + 1118*T1*T2^2 - 1887*T1^2*T2^2 + 
     1813*T1^3*T2^2 - 813*T1^4*T2^2 - 897*T1^5*T2^2 + 1035*T1^6*T2^2 - 
     563*T1^7*T2^2 - 127*T1^8*T2^2 + 326*T1^9*T2^2 - 185*T1^10*T2^2 + 
     590*T2^3 - 1424*T1*T2^3 + 1813*T1^2*T2^3 - 808*T1^3*T2^3 - 
     756*T1^4*T2^3 + 2442*T1^5*T2^3 - 672*T1^6*T2^3 - 504*T1^7*T2^3 + 
     1262*T1^8*T2^3 - 761*T1^9*T2^3 + 124*T1^10*T2^3 + 158*T1^11*T2^3 - 
     705*T2^4 + 1164*T1*T2^4 - 813*T1^2*T2^4 - 756*T1^3*T2^4 + 
     1607*T1^4*T2^4 - 1932*T1^5*T2^4 - 2193*T1^6*T2^4 + 2388*T1^7*T2^4 - 
     1785*T1^8*T2^4 - 180*T1^9*T2^4 + 923*T1^10*T2^4 - 636*T1^11*T2^4 - 
     17*T1^12*T2^4 + 590*T2^5 - 258*T1*T2^5 - 897*T1^2*T2^5 + 
     2442*T1^3*T2^5 - 1932*T1^4*T2^5 + 725*T1^5*T2^5 + 4482*T1^6*T2^5 - 
     1908*T1^7*T2^5 - 31*T1^8*T2^5 + 2154*T1^9*T2^5 - 1428*T1^10*T2^5 + 
     48*T1^11*T2^5 + 660*T1^12*T2^5 - 130*T1^13*T2^5 - 361*T2^6 - 
     380*T1*T2^6 + 1035*T1^2*T2^6 - 672*T1^3*T2^6 - 2193*T1^4*T2^6 + 
     4482*T1^5*T2^6 - 7762*T1^6*T2^6 + 620*T1^7*T2^6 + 2258*T1^8*T2^6 - 
     2970*T1^9*T2^6 + 343*T1^10*T2^6 + 1308*T1^11*T2^6 - 1037*T1^12*T2^6 - 
     164*T1^13*T2^6 + 167*T1^14*T2^6 + 148*T2^7 + 560*T1*T2^7 - 
     563*T1^2*T2^7 - 504*T1^3*T2^7 + 2388*T1^4*T2^7 - 1908*T1^5*T2^7 + 
     620*T1^6*T2^7 + 7608*T1^7*T2^7 - 6180*T1^8*T2^7 + 1700*T1^9*T2^7 + 
     2358*T1^10*T2^7 - 2634*T1^11*T2^7 + 540*T1^12*T2^7 + 823*T1^13*T2^7 - 
     286*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 - 
     127*T1^2*T2^8 + 1262*T1^3*T2^8 - 1785*T1^4*T2^8 - 31*T1^5*T2^8 + 
     2258*T1^6*T2^8 - 6180*T1^7*T2^8 + 240*T1^8*T2^8 + 5412*T1^9*T2^8 - 
     5142*T1^10*T2^8 + 1859*T1^11*T2^8 + 1359*T1^12*T2^8 - 1438*T1^13*T2^8 + 
     75*T1^14*T2^8 + 330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 
     326*T1^2*T2^9 - 761*T1^3*T2^9 - 180*T1^4*T2^9 + 2154*T1^5*T2^9 - 
     2970*T1^6*T2^9 + 1700*T1^7*T2^9 + 5412*T1^8*T2^9 - 8376*T1^9*T2^9 + 
     2780*T1^10*T2^9 + 1296*T1^11*T2^9 - 2868*T1^12*T2^9 + 864*T1^13*T2^9 + 
     625*T1^14*T2^9 - 520*T1^15*T2^9 - 140*T1^16*T2^9 - 185*T1^2*T2^10 + 
     124*T1^3*T2^10 + 923*T1^4*T2^10 - 1428*T1^5*T2^10 + 343*T1^6*T2^10 + 
     2358*T1^7*T2^10 - 5142*T1^8*T2^10 + 2780*T1^9*T2^10 + 4878*T1^10*T2^10 - 
     5094*T1^11*T2^10 + 2879*T1^12*T2^10 + 552*T1^13*T2^10 - 
     1149*T1^14*T2^10 + 340*T1^15*T2^10 + 343*T1^16*T2^10 + 158*T1^3*T2^11 - 
     636*T1^4*T2^11 + 48*T1^5*T2^11 + 1308*T1^6*T2^11 - 2634*T1^7*T2^11 + 
     1859*T1^8*T2^11 + 1296*T1^9*T2^11 - 5094*T1^10*T2^11 + 
     1103*T1^11*T2^11 + 1452*T1^12*T2^11 - 2562*T1^13*T2^11 + 
     993*T1^14*T2^11 + 282*T1^15*T2^11 - 562*T1^16*T2^11 - 17*T1^4*T2^12 + 
     660*T1^5*T2^12 - 1037*T1^6*T2^12 + 540*T1^7*T2^12 + 1359*T1^8*T2^12 - 
     2868*T1^9*T2^12 + 2879*T1^10*T2^12 + 1452*T1^11*T2^12 - 
     2033*T1^12*T2^12 + 1116*T1^13*T2^12 + 699*T1^14*T2^12 - 
     1140*T1^15*T2^12 + 671*T1^16*T2^12 - 130*T1^5*T2^13 - 164*T1^6*T2^13 + 
     823*T1^7*T2^13 - 1438*T1^8*T2^13 + 864*T1^9*T2^13 + 552*T1^10*T2^13 - 
     2562*T1^11*T2^13 + 1116*T1^12*T2^13 + 632*T1^13*T2^13 - 
     1751*T1^14*T2^13 + 1384*T1^15*T2^13 - 562*T1^16*T2^13 + 167*T1^6*T2^14 - 
     286*T1^7*T2^14 + 75*T1^8*T2^14 + 625*T1^9*T2^14 - 1149*T1^10*T2^14 + 
     993*T1^11*T2^14 + 699*T1^12*T2^14 - 1751*T1^13*T2^14 + 
     1835*T1^14*T2^14 - 1078*T1^15*T2^14 + 343*T1^16*T2^14 - 104*T1^7*T2^15 + 
     330*T1^8*T2^15 - 520*T1^9*T2^15 + 340*T1^10*T2^15 + 282*T1^11*T2^15 - 
     1140*T1^12*T2^15 + 1384*T1^13*T2^15 - 1078*T1^14*T2^15 + 
     528*T1^15*T2^15 - 140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 
     343*T1^10*T2^16 - 562*T1^11*T2^16 + 671*T1^12*T2^16 - 562*T1^13*T2^16 + 
     343*T1^14*T2^16 - 140*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 658] -> 
  {(4 - 18*T + 38*T^2 - 47*T^3 + 38*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-256 + 1148*T1 - 2412*T1^2 + 2976*T1^3 - 2412*T1^4 + 1148*T1^5 - 
     256*T1^6 + 1148*T2 - 4290*T1*T2 + 6970*T1^2*T2 - 5270*T1^3*T2 + 
     850*T1^4*T2 + 2938*T1^5*T2 - 2706*T1^6*T2 + 860*T1^7*T2 - 2412*T2^2 + 
     6970*T1*T2^2 - 6591*T1^2*T2^2 - 3110*T1^3*T2^2 + 11199*T1^4*T2^2 - 
     11926*T1^5*T2^2 + 3745*T1^6*T2^2 + 1498*T1^7*T2^2 - 1196*T1^8*T2^2 + 
     2976*T2^3 - 5270*T1*T2^3 - 3110*T1^2*T2^3 + 18908*T1^3*T2^3 - 
     19380*T1^4*T2^3 + 7176*T1^5*T2^3 + 9368*T1^6*T2^3 - 9494*T1^7*T2^3 + 
     2146*T1^8*T2^3 + 720*T1^9*T2^3 - 2412*T2^4 + 850*T1*T2^4 + 
     11199*T1^2*T2^4 - 19380*T1^3*T2^4 + 1757*T1^4*T2^4 + 18543*T1^5*T2^4 - 
     26639*T1^6*T2^4 + 9572*T1^7*T2^4 + 3847*T1^8*T2^4 - 3326*T1^9*T2^4 + 
     20*T1^10*T2^4 + 1148*T2^5 + 2938*T1*T2^5 - 11926*T1^2*T2^5 + 
     7176*T1^3*T2^5 + 18543*T1^4*T2^5 - 28362*T1^5*T2^5 + 16456*T1^6*T2^5 + 
     9499*T1^7*T2^5 - 14588*T1^8*T2^5 + 4186*T1^9*T2^5 + 1210*T1^10*T2^5 - 
     292*T1^11*T2^5 - 256*T2^6 - 2706*T1*T2^6 + 3745*T1^2*T2^6 + 
     9368*T1^3*T2^6 - 26639*T1^4*T2^6 + 16456*T1^5*T2^6 + 8292*T1^6*T2^6 - 
     24960*T1^7*T2^6 + 14289*T1^8*T2^6 + 2120*T1^9*T2^6 - 4383*T1^10*T2^6 + 
     750*T1^11*T2^6 + 128*T1^12*T2^6 + 860*T1*T2^7 + 1498*T1^2*T2^7 - 
     9494*T1^3*T2^7 + 9572*T1^4*T2^7 + 9499*T1^5*T2^7 - 24960*T1^6*T2^7 + 
     19858*T1^7*T2^7 + 455*T1^8*T2^7 - 12192*T1^9*T2^7 + 6618*T1^10*T2^7 - 
     230*T1^11*T2^7 - 580*T1^12*T2^7 - 1196*T1^2*T2^8 + 2146*T1^3*T2^8 + 
     3847*T1^4*T2^8 - 14588*T1^5*T2^8 + 14289*T1^6*T2^8 + 455*T1^7*T2^8 - 
     14107*T1^8*T2^8 + 14364*T1^9*T2^8 - 3505*T1^10*T2^8 - 2030*T1^11*T2^8 + 
     1236*T1^12*T2^8 + 720*T1^3*T2^9 - 3326*T1^4*T2^9 + 4186*T1^5*T2^9 + 
     2120*T1^6*T2^9 - 12192*T1^7*T2^9 + 14364*T1^8*T2^9 - 7420*T1^9*T2^9 - 
     2198*T1^10*T2^9 + 4090*T1^11*T2^9 - 1536*T1^12*T2^9 + 20*T1^4*T2^10 + 
     1210*T1^5*T2^10 - 4383*T1^6*T2^10 + 6618*T1^7*T2^10 - 3505*T1^8*T2^10 - 
     2198*T1^9*T2^10 + 5953*T1^10*T2^10 - 4262*T1^11*T2^10 + 
     1236*T1^12*T2^10 - 292*T1^5*T2^11 + 750*T1^6*T2^11 - 230*T1^7*T2^11 - 
     2030*T1^8*T2^11 + 4090*T1^9*T2^11 - 4262*T1^10*T2^11 + 
     2334*T1^11*T2^11 - 580*T1^12*T2^11 + 128*T1^6*T2^12 - 580*T1^7*T2^12 + 
     1236*T1^8*T2^12 - 1536*T1^9*T2^12 + 1236*T1^10*T2^12 - 580*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 659] -> 
  {(8 - 30*T + 58*T^2 - 71*T^3 + 58*T^4 - 30*T^5 + 8*T^6)/T^3, 
   -((3160 - 11702*T1 + 22490*T1^2 - 27474*T1^3 + 22490*T1^4 - 11702*T1^5 + 
      3160*T1^6 - 11702*T2 + 33678*T1*T2 - 47392*T1^2*T2 + 32513*T1^3*T2 + 
      1553*T1^4*T2 - 26272*T1^5*T2 + 24558*T1^6*T2 - 9782*T1^7*T2 + 
      22490*T2^2 - 47392*T1*T2^2 + 40813*T1^2*T2^2 + 8504*T1^3*T2^2 - 
      51267*T1^4*T2^2 + 46552*T1^5*T2^2 - 5587*T1^6*T2^2 - 19552*T1^7*T2^2 + 
      15066*T1^8*T2^2 - 27474*T2^3 + 32513*T1*T2^3 + 8504*T1^2*T2^3 - 
      69138*T1^3*T2^3 + 68347*T1^4*T2^3 - 6161*T1^5*T2^3 - 50634*T1^6*T2^3 + 
      41216*T1^7*T2^3 - 4687*T1^8*T2^3 - 13842*T1^9*T2^3 + 22490*T2^4 + 
      1553*T1*T2^4 - 51267*T1^2*T2^4 + 68347*T1^3*T2^4 + 3493*T1^4*T2^4 - 
      82401*T1^5*T2^4 + 85353*T1^6*T2^4 - 12877*T1^7*T2^4 - 31115*T1^8*T2^4 + 
      23153*T1^9*T2^4 + 7642*T1^10*T2^4 - 11702*T2^5 - 26272*T1*T2^5 + 
      46552*T1^2*T2^5 - 6161*T1^3*T2^5 - 82401*T1^4*T2^5 + 96676*T1^5*T2^5 - 
      20786*T1^6*T2^5 - 62797*T1^7*T2^5 + 54915*T1^8*T2^5 - 7504*T1^9*T2^5 - 
      20512*T1^10*T2^5 - 2102*T1^11*T2^5 + 3160*T2^6 + 24558*T1*T2^6 - 
      5587*T1^2*T2^6 - 50634*T1^3*T2^6 + 85353*T1^4*T2^6 - 20786*T1^5*T2^6 - 
      68172*T1^6*T2^6 + 86582*T1^7*T2^6 - 17719*T1^8*T2^6 - 30330*T1^9*T2^6 + 
      26317*T1^10*T2^6 + 7278*T1^11*T2^6 + 88*T1^12*T2^6 - 9782*T1*T2^7 - 
      19552*T1^2*T2^7 + 41216*T1^3*T2^7 - 12877*T1^4*T2^7 - 62797*T1^5*T2^7 + 
      86582*T1^6*T2^7 - 30880*T1^7*T2^7 - 43193*T1^8*T2^7 + 48199*T1^9*T2^7 - 
      12840*T1^10*T2^7 - 13792*T1^11*T2^7 - 182*T1^12*T2^7 + 
      15066*T1^2*T2^8 - 4687*T1^3*T2^8 - 31115*T1^4*T2^8 + 54915*T1^5*T2^8 - 
      17719*T1^6*T2^8 - 43193*T1^7*T2^8 + 64141*T1^8*T2^8 - 26309*T1^9*T2^8 - 
      10963*T1^10*T2^8 + 16913*T1^11*T2^8 + 218*T1^12*T2^8 - 
      13842*T1^3*T2^9 + 23153*T1^4*T2^9 - 7504*T1^5*T2^9 - 30330*T1^6*T2^9 + 
      48199*T1^7*T2^9 - 26309*T1^8*T2^9 - 11826*T1^9*T2^9 + 
      25208*T1^10*T2^9 - 14047*T1^11*T2^9 - 210*T1^12*T2^9 + 
      7642*T1^4*T2^10 - 20512*T1^5*T2^10 + 26317*T1^6*T2^10 - 
      12840*T1^7*T2^10 - 10963*T1^8*T2^10 + 25208*T1^9*T2^10 - 
      20083*T1^10*T2^10 + 7328*T1^11*T2^10 + 218*T1^12*T2^10 - 
      2102*T1^5*T2^11 + 7278*T1^6*T2^11 - 13792*T1^7*T2^11 + 
      16913*T1^8*T2^11 - 14047*T1^9*T2^11 + 7328*T1^10*T2^11 - 
      1842*T1^11*T2^11 - 182*T1^12*T2^11 + 88*T1^6*T2^12 - 182*T1^7*T2^12 + 
      218*T1^8*T2^12 - 210*T1^9*T2^12 + 218*T1^10*T2^12 - 182*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 660] -> 
  {-((2 - 10*T + 21*T^2 - 31*T^3 + 35*T^4 - 31*T^5 + 21*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-57 + 283*T1 - 590*T1^2 + 869*T1^3 - 981*T1^4 + 869*T1^5 - 
      590*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1731*T1^2*T2 - 
      1810*T1^3*T2 + 1177*T1^4*T2 - 143*T1^5*T2 - 770*T1^6*T2 + 
      1111*T1^7*T2 - 924*T1^8*T2 + 243*T1^9*T2 - 590*T2^2 + 1731*T1*T2^2 - 
      571*T1^2*T2^2 - 1395*T1^3*T2^2 + 3896*T1^4*T2^2 - 5375*T1^5*T2^2 + 
      5072*T1^6*T2^2 - 3159*T1^7*T2^2 + 1025*T1^8*T2^2 + 891*T1^9*T2^2 - 
      422*T1^10*T2^2 + 869*T2^3 - 1810*T1*T2^3 - 1395*T1^2*T2^3 + 
      3098*T1^3*T2^3 - 4414*T1^4*T2^3 + 3371*T1^5*T2^3 - 817*T1^6*T2^3 - 
      1864*T1^7*T2^3 + 2726*T1^8*T2^3 - 2781*T1^9*T2^3 - 370*T1^10*T2^3 + 
      497*T1^11*T2^3 - 981*T2^4 + 1177*T1*T2^4 + 3896*T1^2*T2^4 - 
      4414*T1^3*T2^4 + 5765*T1^4*T2^4 - 4516*T1^5*T2^4 + 2903*T1^6*T2^4 - 
      1716*T1^7*T2^4 + 1985*T1^8*T2^4 - 1314*T1^9*T2^4 + 3576*T1^10*T2^4 - 
      383*T1^11*T2^4 - 421*T1^12*T2^4 + 869*T2^5 - 143*T1*T2^5 - 
      5375*T1^2*T2^5 + 3371*T1^3*T2^5 - 4516*T1^4*T2^5 + 2513*T1^5*T2^5 - 
      1384*T1^6*T2^5 + 640*T1^7*T2^5 - 655*T1^8*T2^5 - 897*T1^9*T2^5 - 
      1257*T1^10*T2^5 - 2687*T1^11*T2^5 + 857*T1^12*T2^5 + 249*T1^13*T2^5 - 
      590*T2^6 - 770*T1*T2^6 + 5072*T1^2*T2^6 - 817*T1^3*T2^6 + 
      2903*T1^4*T2^6 - 1384*T1^5*T2^6 + 1686*T1^6*T2^6 - 1490*T1^7*T2^6 + 
      1014*T1^8*T2^6 + 854*T1^9*T2^6 + 1213*T1^10*T2^6 + 2711*T1^11*T2^6 + 
      904*T1^12*T2^6 - 810*T1^13*T2^6 - 86*T1^14*T2^6 + 283*T2^7 + 
      1111*T1*T2^7 - 3159*T1^2*T2^7 - 1864*T1^3*T2^7 - 1716*T1^4*T2^7 + 
      640*T1^5*T2^7 - 1490*T1^6*T2^7 + 976*T1^7*T2^7 + 52*T1^8*T2^7 - 
      1245*T1^9*T2^7 - 956*T1^10*T2^7 - 2059*T1^11*T2^7 - 2214*T1^12*T2^7 + 
      495*T1^13*T2^7 + 411*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      924*T1*T2^8 + 1025*T1^2*T2^8 + 2726*T1^3*T2^8 + 1985*T1^4*T2^8 - 
      655*T1^5*T2^8 + 1014*T1^6*T2^8 + 52*T1^7*T2^8 - 1032*T1^8*T2^8 + 
      996*T1^9*T2^8 + 936*T1^10*T2^8 + 1187*T1^11*T2^8 + 2329*T1^12*T2^8 + 
      538*T1^13*T2^8 - 775*T1^14*T2^8 - 44*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 891*T1^2*T2^9 - 2781*T1^3*T2^9 - 1314*T1^4*T2^9 - 
      897*T1^5*T2^9 + 854*T1^6*T2^9 - 1245*T1^7*T2^9 + 996*T1^8*T2^9 + 
      72*T1^9*T2^9 - 1000*T1^10*T2^9 - 742*T1^11*T2^9 - 1240*T1^12*T2^9 - 
      1664*T1^13*T2^9 + 873*T1^14*T2^9 + 191*T1^15*T2^9 - 37*T1^16*T2^9 - 
      422*T1^2*T2^10 - 370*T1^3*T2^10 + 3576*T1^4*T2^10 - 1257*T1^5*T2^10 + 
      1213*T1^6*T2^10 - 956*T1^7*T2^10 + 936*T1^8*T2^10 - 1000*T1^9*T2^10 + 
      264*T1^10*T2^10 + 1282*T1^11*T2^10 - 477*T1^12*T2^10 + 
      2271*T1^13*T2^10 - 592*T1^14*T2^10 - 410*T1^15*T2^10 + 82*T1^16*T2^10 + 
      497*T1^3*T2^11 - 383*T1^4*T2^11 - 2687*T1^5*T2^11 + 2711*T1^6*T2^11 - 
      2059*T1^7*T2^11 + 1187*T1^8*T2^11 - 742*T1^9*T2^11 + 1282*T1^10*T2^11 - 
      1981*T1^11*T2^11 + 1560*T1^12*T2^11 - 1917*T1^13*T2^11 + T1^14*T2^11 + 
      617*T1^15*T2^11 - 123*T1^16*T2^11 - 421*T1^4*T2^12 + 857*T1^5*T2^12 + 
      904*T1^6*T2^12 - 2214*T1^7*T2^12 + 2329*T1^8*T2^12 - 1240*T1^9*T2^12 - 
      477*T1^10*T2^12 + 1560*T1^11*T2^12 - 1451*T1^12*T2^12 + 
      886*T1^13*T2^12 + 584*T1^14*T2^12 - 703*T1^15*T2^12 + 139*T1^16*T2^12 + 
      249*T1^5*T2^13 - 810*T1^6*T2^13 + 495*T1^7*T2^13 + 538*T1^8*T2^13 - 
      1664*T1^9*T2^13 + 2271*T1^10*T2^13 - 1917*T1^11*T2^13 + 
      886*T1^12*T2^13 + 166*T1^13*T2^13 - 891*T1^14*T2^13 + 630*T1^15*T2^13 - 
      123*T1^16*T2^13 - 86*T1^6*T2^14 + 411*T1^7*T2^14 - 775*T1^8*T2^14 + 
      873*T1^9*T2^14 - 592*T1^10*T2^14 + T1^11*T2^14 + 584*T1^12*T2^14 - 
      891*T1^13*T2^14 + 821*T1^14*T2^14 - 429*T1^15*T2^14 + 82*T1^16*T2^14 + 
      3*T1^7*T2^15 - 44*T1^8*T2^15 + 191*T1^9*T2^15 - 410*T1^10*T2^15 + 
      617*T1^11*T2^15 - 703*T1^12*T2^15 + 630*T1^13*T2^15 - 429*T1^14*T2^15 + 
      196*T1^15*T2^15 - 37*T1^16*T2^15 + 7*T1^8*T2^16 - 37*T1^9*T2^16 + 
      82*T1^10*T2^16 - 123*T1^11*T2^16 + 139*T1^12*T2^16 - 123*T1^13*T2^16 + 
      82*T1^14*T2^16 - 37*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 661] -> 
  {-((4 - 21*T + 44*T^2 - 55*T^3 + 44*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((-336 + 1748*T1 - 3628*T1^2 + 4520*T1^3 - 3628*T1^4 + 1748*T1^5 - 
      336*T1^6 + 1748*T2 - 7698*T1*T2 + 11603*T1^2*T2 - 8375*T1^3*T2 - 
      59*T1^4*T2 + 6143*T1^5*T2 - 5598*T1^6*T2 + 1412*T1^7*T2 - 3628*T2^2 + 
      11603*T1*T2^2 - 3512*T1^2*T2^2 - 18662*T1^3*T2^2 + 35666*T1^4*T2^2 - 
      30630*T1^5*T2^2 + 10568*T1^6*T2^2 + 4211*T1^7*T2^2 - 2220*T1^8*T2^2 + 
      4520*T2^3 - 8375*T1*T2^3 - 18662*T1^2*T2^3 + 46242*T1^3*T2^3 - 
      42430*T1^4*T2^3 + 6146*T1^5*T2^3 + 25122*T1^6*T2^3 - 24602*T1^7*T2^3 + 
      1789*T1^8*T2^3 + 1880*T1^9*T2^3 - 3628*T2^4 - 59*T1*T2^4 + 
      35666*T1^2*T2^4 - 42430*T1^3*T2^4 + 6481*T1^4*T2^4 + 38933*T1^5*T2^4 - 
      43899*T1^6*T2^4 + 11250*T1^7*T2^4 + 18132*T1^8*T2^4 - 5603*T1^9*T2^4 - 
      812*T1^10*T2^4 + 1748*T2^5 + 6143*T1*T2^5 - 30630*T1^2*T2^5 + 
      6146*T1^3*T2^5 + 38933*T1^4*T2^5 - 53542*T1^5*T2^5 + 16358*T1^6*T2^5 + 
      26701*T1^7*T2^5 - 32222*T1^8*T2^5 - 578*T1^9*T2^5 + 3875*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5598*T1*T2^6 + 10568*T1^2*T2^6 + 
      25122*T1^3*T2^6 - 43899*T1^4*T2^6 + 16358*T1^5*T2^6 + 32736*T1^6*T2^6 - 
      46746*T1^7*T2^6 + 18185*T1^8*T2^6 + 16146*T1^9*T2^6 - 6764*T1^10*T2^6 - 
      558*T1^11*T2^6 + 48*T1^12*T2^6 + 1412*T1*T2^7 + 4211*T1^2*T2^7 - 
      24602*T1^3*T2^7 + 11250*T1^4*T2^7 + 26701*T1^5*T2^7 - 46746*T1^6*T2^7 + 
      23154*T1^7*T2^7 + 14469*T1^8*T2^7 - 27118*T1^9*T2^7 + 5450*T1^10*T2^7 + 
      1943*T1^11*T2^7 - 268*T1^12*T2^7 - 2220*T1^2*T2^8 + 1789*T1^3*T2^8 + 
      18132*T1^4*T2^8 - 32222*T1^5*T2^8 + 18185*T1^6*T2^8 + 14469*T1^7*T2^8 - 
      32195*T1^8*T2^8 + 21458*T1^9*T2^8 + 598*T1^10*T2^8 - 3755*T1^11*T2^8 + 
      596*T1^12*T2^8 + 1880*T1^3*T2^9 - 5603*T1^4*T2^9 - 578*T1^5*T2^9 + 
      16146*T1^6*T2^9 - 27118*T1^7*T2^9 + 21458*T1^8*T2^9 - 4974*T1^9*T2^9 - 
      6518*T1^10*T2^9 + 4561*T1^11*T2^9 - 760*T1^12*T2^9 - 812*T1^4*T2^10 + 
      3875*T1^5*T2^10 - 6764*T1^6*T2^10 + 5450*T1^7*T2^10 + 598*T1^8*T2^10 - 
      6518*T1^9*T2^10 + 7316*T1^10*T2^10 - 3517*T1^11*T2^10 + 
      596*T1^12*T2^10 + 68*T1^5*T2^11 - 558*T1^6*T2^11 + 1943*T1^7*T2^11 - 
      3755*T1^8*T2^11 + 4561*T1^9*T2^11 - 3517*T1^10*T2^11 + 
      1542*T1^11*T2^11 - 268*T1^12*T2^11 + 48*T1^6*T2^12 - 268*T1^7*T2^12 + 
      596*T1^8*T2^12 - 760*T1^9*T2^12 + 596*T1^10*T2^12 - 268*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 662] -> 
  {(1 - 8*T + 27*T^2 - 52*T^3 + 65*T^4 - 52*T^5 + 27*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 108*T1^2 + 208*T1^3 - 260*T1^4 + 208*T1^5 - 108*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 672*T1^2*T2 - 1017*T1^3*T2 + 
     833*T1^4*T2 - 103*T1^5*T2 - 385*T1^6*T2 + 392*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 108*T2^2 + 672*T1*T2^2 - 1439*T1^2*T2^2 + 896*T1^3*T2^2 + 
     1447*T1^4*T2^2 - 3989*T1^5*T2^2 + 3499*T1^6*T2^2 - 1480*T1^7*T2^2 - 
     35*T1^8*T2^2 + 240*T1^9*T2^2 - 54*T1^10*T2^2 + 208*T2^3 - 1017*T1*T2^3 + 
     896*T1^2*T2^3 + 3130*T1^3*T2^3 - 8737*T1^4*T2^3 + 10158*T1^5*T2^3 - 
     2790*T1^6*T2^3 - 3061*T1^7*T2^3 + 3838*T1^8*T2^3 - 1372*T1^9*T2^3 + 
     15*T1^10*T2^3 + 52*T1^11*T2^3 - 260*T2^4 + 833*T1*T2^4 + 
     1447*T1^2*T2^4 - 8737*T1^3*T2^4 + 12072*T1^4*T2^4 - 3805*T1^5*T2^4 - 
     14132*T1^6*T2^4 + 16371*T1^7*T2^4 - 7896*T1^8*T2^4 - 625*T1^9*T2^4 + 
     1811*T1^10*T2^4 - 415*T1^11*T2^4 + 208*T2^5 - 103*T1*T2^5 - 
     3989*T1^2*T2^5 + 10158*T1^3*T2^5 - 3805*T1^4*T2^5 - 15962*T1^5*T2^5 + 
     33614*T1^6*T2^5 - 16514*T1^7*T2^5 - 5146*T1^8*T2^5 + 12835*T1^9*T2^5 - 
     5806*T1^10*T2^5 + 67*T1^11*T2^5 + 417*T1^12*T2^5 - 52*T1^13*T2^5 - 
     108*T2^6 - 385*T1*T2^6 + 3499*T1^2*T2^6 - 2790*T1^3*T2^6 - 
     14132*T1^4*T2^6 + 33614*T1^5*T2^6 - 30698*T1^6*T2^6 - 12096*T1^7*T2^6 + 
     33678*T1^8*T2^6 - 22754*T1^9*T2^6 + 1130*T1^10*T2^6 + 5634*T1^11*T2^6 - 
     1929*T1^12*T2^6 - 17*T1^13*T2^6 + 54*T1^14*T2^6 + 32*T2^7 + 
     392*T1*T2^7 - 1480*T1^2*T2^7 - 3061*T1^3*T2^7 + 16371*T1^4*T2^7 - 
     16514*T1^5*T2^7 - 12096*T1^6*T2^7 + 54902*T1^7*T2^7 - 45106*T1^8*T2^7 + 
     3176*T1^9*T2^7 + 21134*T1^10*T2^7 - 14413*T1^11*T2^7 + 1007*T1^12*T2^7 + 
     1436*T1^13*T2^7 - 240*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 35*T1^2*T2^8 + 3838*T1^3*T2^8 - 7896*T1^4*T2^8 - 
     5146*T1^5*T2^8 + 33678*T1^6*T2^8 - 45106*T1^7*T2^8 + 3000*T1^8*T2^8 + 
     42014*T1^9*T2^8 - 37402*T1^10*T2^8 + 8374*T1^11*T2^8 + 8124*T1^12*T2^8 - 
     4130*T1^13*T2^8 + 25*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 240*T1^2*T2^9 - 1372*T1^3*T2^9 - 625*T1^4*T2^9 + 
     12835*T1^5*T2^9 - 22754*T1^6*T2^9 + 3176*T1^7*T2^9 + 42014*T1^8*T2^9 - 
     57994*T1^9*T2^9 + 18448*T1^10*T2^9 + 14894*T1^11*T2^9 - 
     17949*T1^12*T2^9 + 3443*T1^13*T2^9 + 1544*T1^14*T2^9 - 392*T1^15*T2^9 - 
     32*T1^16*T2^9 - 54*T1^2*T2^10 + 15*T1^3*T2^10 + 1811*T1^4*T2^10 - 
     5806*T1^5*T2^10 + 1130*T1^6*T2^10 + 21134*T1^7*T2^10 - 
     37402*T1^8*T2^10 + 18448*T1^9*T2^10 + 26974*T1^10*T2^10 - 
     35234*T1^11*T2^10 + 16392*T1^12*T2^10 + 2618*T1^13*T2^10 - 
     3617*T1^14*T2^10 + 383*T1^15*T2^10 + 108*T1^16*T2^10 + 52*T1^3*T2^11 - 
     415*T1^4*T2^11 + 67*T1^5*T2^11 + 5634*T1^6*T2^11 - 14413*T1^7*T2^11 + 
     8374*T1^8*T2^11 + 14894*T1^9*T2^11 - 35234*T1^10*T2^11 + 
     19190*T1^11*T2^11 + 2227*T1^12*T2^11 - 10330*T1^13*T2^11 + 
     4123*T1^14*T2^11 + 105*T1^15*T2^11 - 208*T1^16*T2^11 + 417*T1^5*T2^12 - 
     1929*T1^6*T2^12 + 1007*T1^7*T2^12 + 8124*T1^8*T2^12 - 17949*T1^9*T2^12 + 
     16392*T1^10*T2^12 + 2227*T1^11*T2^12 - 11844*T1^12*T2^12 + 
     9119*T1^13*T2^12 - 1565*T1^14*T2^12 - 831*T1^15*T2^12 + 
     260*T1^16*T2^12 - 52*T1^5*T2^13 - 17*T1^6*T2^13 + 1436*T1^7*T2^13 - 
     4130*T1^8*T2^13 + 3443*T1^9*T2^13 + 2618*T1^10*T2^13 - 
     10330*T1^11*T2^13 + 9119*T1^12*T2^13 - 3422*T1^13*T2^13 - 
     832*T1^14*T2^13 + 1015*T1^15*T2^13 - 208*T1^16*T2^13 + 54*T1^6*T2^14 - 
     240*T1^7*T2^14 + 25*T1^8*T2^14 + 1544*T1^9*T2^14 - 3617*T1^10*T2^14 + 
     4123*T1^11*T2^14 - 1565*T1^12*T2^14 - 832*T1^13*T2^14 + 
     1429*T1^14*T2^14 - 672*T1^15*T2^14 + 108*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 392*T1^9*T2^15 + 383*T1^10*T2^15 + 105*T1^11*T2^15 - 
     831*T1^12*T2^15 + 1015*T1^13*T2^15 - 672*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 108*T1^10*T2^16 - 
     208*T1^11*T2^16 + 260*T1^12*T2^16 - 208*T1^13*T2^16 + 108*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 663] -> 
  {(3 - 17*T + 41*T^2 - 53*T^3 + 41*T^4 - 17*T^5 + 3*T^6)/T^3, 
   (-105 + 590*T1 - 1416*T1^2 + 1829*T1^3 - 1416*T1^4 + 590*T1^5 - 105*T1^6 + 
     590*T2 - 2875*T1*T2 + 5500*T1^2*T2 - 4407*T1^3*T2 + 387*T1^4*T2 + 
     2542*T1^5*T2 - 1855*T1^6*T2 + 437*T1^7*T2 - 1416*T2^2 + 5500*T1*T2^2 - 
     6060*T1^2*T2^2 - 4356*T1^3*T2^2 + 14258*T1^4*T2^2 - 13212*T1^5*T2^2 + 
     3288*T1^6*T2^2 + 1318*T1^7*T2^2 - 678*T1^8*T2^2 + 1829*T2^3 - 
     4407*T1*T2^3 - 4356*T1^2*T2^3 + 26074*T1^3*T2^3 - 29037*T1^4*T2^3 + 
     8815*T1^5*T2^3 + 12360*T1^6*T2^3 - 9973*T1^7*T2^3 + 1611*T1^8*T2^3 + 
     398*T1^9*T2^3 - 1416*T2^4 + 387*T1*T2^4 + 14258*T1^2*T2^4 - 
     29037*T1^3*T2^4 + 4954*T1^4*T2^4 + 32416*T1^5*T2^4 - 41222*T1^6*T2^4 + 
     13363*T1^7*T2^4 + 3796*T1^8*T2^4 - 2571*T1^9*T2^4 + 60*T1^10*T2^4 + 
     590*T2^5 + 2542*T1*T2^5 - 13212*T1^2*T2^5 + 8815*T1^3*T2^5 + 
     32416*T1^4*T2^5 - 56773*T1^5*T2^5 + 31311*T1^6*T2^5 + 13023*T1^7*T2^5 - 
     19941*T1^8*T2^5 + 5361*T1^9*T2^5 + 604*T1^10*T2^5 - 175*T1^11*T2^5 - 
     105*T2^6 - 1855*T1*T2^6 + 3288*T1^2*T2^6 + 12360*T1^3*T2^6 - 
     41222*T1^4*T2^6 + 31311*T1^5*T2^6 + 17280*T1^6*T2^6 - 46711*T1^7*T2^6 + 
     27480*T1^8*T2^6 - 260*T1^9*T2^6 - 4064*T1^10*T2^6 + 695*T1^11*T2^6 + 
     57*T1^12*T2^6 + 437*T1*T2^7 + 1318*T1^2*T2^7 - 9973*T1^3*T2^7 + 
     13363*T1^4*T2^7 + 13023*T1^5*T2^7 - 46711*T1^6*T2^7 + 41373*T1^7*T2^7 - 
     6370*T1^8*T2^7 - 15393*T1^9*T2^7 + 8600*T1^10*T2^7 - 620*T1^11*T2^7 - 
     328*T1^12*T2^7 - 678*T1^2*T2^8 + 1611*T1^3*T2^8 + 3796*T1^4*T2^8 - 
     19941*T1^5*T2^8 + 27480*T1^6*T2^8 - 6370*T1^7*T2^8 - 18696*T1^8*T2^8 + 
     22459*T1^9*T2^8 - 6666*T1^10*T2^8 - 1347*T1^11*T2^8 + 798*T1^12*T2^8 + 
     398*T1^3*T2^9 - 2571*T1^4*T2^9 + 5361*T1^5*T2^9 - 260*T1^6*T2^9 - 
     15393*T1^7*T2^9 + 22459*T1^8*T2^9 - 13974*T1^9*T2^9 - 256*T1^10*T2^9 + 
     3447*T1^11*T2^9 - 1033*T1^12*T2^9 + 60*T1^4*T2^10 + 604*T1^5*T2^10 - 
     4064*T1^6*T2^10 + 8600*T1^7*T2^10 - 6666*T1^8*T2^10 - 256*T1^9*T2^10 + 
     5284*T1^10*T2^10 - 3578*T1^11*T2^10 + 798*T1^12*T2^10 - 175*T1^5*T2^11 + 
     695*T1^6*T2^11 - 620*T1^7*T2^11 - 1347*T1^8*T2^11 + 3447*T1^9*T2^11 - 
     3578*T1^10*T2^11 + 1715*T1^11*T2^11 - 328*T1^12*T2^11 + 57*T1^6*T2^12 - 
     328*T1^7*T2^12 + 798*T1^8*T2^12 - 1033*T1^9*T2^12 + 798*T1^10*T2^12 - 
     328*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 664] -> 
  {(1 - 8*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 132*T1^2 + 204*T1^3 - 234*T1^4 + 204*T1^5 - 132*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 735*T1^2*T2 - 750*T1^3*T2 + 
     511*T1^4*T2 - 73*T1^5*T2 - 302*T1^6*T2 + 495*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 132*T2^2 + 735*T1*T2^2 - 440*T1^2*T2^2 - 1803*T1^3*T2^2 + 
     3715*T1^4*T2^2 - 4902*T1^5*T2^2 + 4463*T1^6*T2^2 - 2947*T1^7*T2^2 + 
     484*T1^8*T2^2 + 383*T1^9*T2^2 - 88*T1^10*T2^2 + 204*T2^3 - 750*T1*T2^3 - 
     1803*T1^2*T2^3 + 6776*T1^3*T2^3 - 7226*T1^4*T2^3 + 5657*T1^5*T2^3 - 
     1479*T1^6*T2^3 - 2164*T1^7*T2^3 + 5066*T1^8*T2^3 - 2463*T1^9*T2^3 - 
     110*T1^10*T2^3 + 102*T1^11*T2^3 - 234*T2^4 + 511*T1*T2^4 + 
     3715*T1^2*T2^4 - 7226*T1^3*T2^4 + 1052*T1^4*T2^4 + 3732*T1^5*T2^4 - 
     8782*T1^6*T2^4 + 8924*T1^7*T2^4 - 7164*T1^8*T2^4 - 1106*T1^9*T2^4 + 
     2795*T1^10*T2^4 - 193*T1^11*T2^4 - 78*T1^12*T2^4 + 204*T2^5 - 
     73*T1*T2^5 - 4902*T1^2*T2^5 + 5657*T1^3*T2^5 + 3732*T1^4*T2^5 - 
     4906*T1^5*T2^5 + 5871*T1^6*T2^5 - 1417*T1^7*T2^5 - 1060*T1^8*T2^5 + 
     7422*T1^9*T2^5 - 2423*T1^10*T2^5 - 1902*T1^11*T2^5 + 351*T1^12*T2^5 + 
     34*T1^13*T2^5 - 132*T2^6 - 302*T1*T2^6 + 4463*T1^2*T2^6 - 
     1479*T1^3*T2^6 - 8782*T1^4*T2^6 + 5871*T1^5*T2^6 - 4963*T1^6*T2^6 + 
     567*T1^7*T2^6 - 1307*T1^8*T2^6 - 1889*T1^9*T2^6 - 4590*T1^10*T2^6 + 
     4241*T1^11*T2^6 + 379*T1^12*T2^6 - 270*T1^13*T2^6 + 48*T2^7 + 
     495*T1*T2^7 - 2947*T1^2*T2^7 - 2164*T1^3*T2^7 + 8924*T1^4*T2^7 - 
     1417*T1^5*T2^7 + 567*T1^6*T2^7 + 366*T1^7*T2^7 + 3336*T1^8*T2^7 - 
     1077*T1^9*T2^7 + 4927*T1^10*T2^7 - 774*T1^11*T2^7 - 2994*T1^12*T2^7 + 
     617*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     484*T1^2*T2^8 + 5066*T1^3*T2^8 - 7164*T1^4*T2^8 - 1060*T1^5*T2^8 - 
     1307*T1^6*T2^8 + 3336*T1^7*T2^8 - 4884*T1^8*T2^8 + 304*T1^9*T2^8 - 
     731*T1^10*T2^8 - 3628*T1^11*T2^8 + 4188*T1^12*T2^8 + 66*T1^13*T2^8 - 
     476*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     383*T1^2*T2^9 - 2463*T1^3*T2^9 - 1106*T1^4*T2^9 + 7422*T1^5*T2^9 - 
     1889*T1^6*T2^9 - 1077*T1^7*T2^9 + 304*T1^8*T2^9 + 3274*T1^9*T2^9 - 
     2721*T1^10*T2^9 + 4455*T1^11*T2^9 - 2276*T1^12*T2^9 - 1936*T1^13*T2^9 + 
     1101*T1^14*T2^9 - 49*T1^15*T2^9 - 16*T1^16*T2^9 - 88*T1^2*T2^10 - 
     110*T1^3*T2^10 + 2795*T1^4*T2^10 - 2423*T1^5*T2^10 - 4590*T1^6*T2^10 + 
     4927*T1^7*T2^10 - 731*T1^8*T2^10 - 2721*T1^9*T2^10 + 2925*T1^10*T2^10 - 
     2833*T1^11*T2^10 - 398*T1^12*T2^10 + 3297*T1^13*T2^10 - 
     1289*T1^14*T2^10 - 78*T1^15*T2^10 + 44*T1^16*T2^10 + 102*T1^3*T2^11 - 
     193*T1^4*T2^11 - 1902*T1^5*T2^11 + 4241*T1^6*T2^11 - 774*T1^7*T2^11 - 
     3628*T1^8*T2^11 + 4455*T1^9*T2^11 - 2833*T1^10*T2^11 + 218*T1^11*T2^11 + 
     2916*T1^12*T2^11 - 3839*T1^13*T2^11 + 1098*T1^14*T2^11 + 
     231*T1^15*T2^11 - 68*T1^16*T2^11 - 78*T1^4*T2^12 + 351*T1^5*T2^12 + 
     379*T1^6*T2^12 - 2994*T1^7*T2^12 + 4188*T1^8*T2^12 - 2276*T1^9*T2^12 - 
     398*T1^10*T2^12 + 2916*T1^11*T2^12 - 4028*T1^12*T2^12 + 
     3126*T1^13*T2^12 - 541*T1^14*T2^12 - 353*T1^15*T2^12 + 78*T1^16*T2^12 + 
     34*T1^5*T2^13 - 270*T1^6*T2^13 + 617*T1^7*T2^13 + 66*T1^8*T2^13 - 
     1936*T1^9*T2^13 + 3297*T1^10*T2^13 - 3839*T1^11*T2^13 + 
     3126*T1^12*T2^13 - 1644*T1^13*T2^13 - 43*T1^14*T2^13 + 370*T1^15*T2^13 - 
     68*T1^16*T2^13 + 63*T1^7*T2^14 - 476*T1^8*T2^14 + 1101*T1^9*T2^14 - 
     1289*T1^10*T2^14 + 1098*T1^11*T2^14 - 541*T1^12*T2^14 - 43*T1^13*T2^14 + 
     448*T1^14*T2^14 - 289*T1^15*T2^14 + 44*T1^16*T2^14 - 8*T1^7*T2^15 + 
     48*T1^8*T2^15 - 49*T1^9*T2^15 - 78*T1^10*T2^15 + 231*T1^11*T2^15 - 
     353*T1^12*T2^15 + 370*T1^13*T2^15 - 289*T1^14*T2^15 + 120*T1^15*T2^15 - 
     16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 44*T1^10*T2^16 - 
     68*T1^11*T2^16 + 78*T1^12*T2^16 - 68*T1^13*T2^16 + 44*T1^14*T2^16 - 
     16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 665] -> 
  {(2 - 17*T + 47*T^2 - 63*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (-33 + 280*T1 - 774*T1^2 + 1037*T1^3 - 774*T1^4 + 280*T1^5 - 33*T1^6 + 
     280*T2 - 2164*T1*T2 + 4766*T1^2*T2 - 3826*T1^3*T2 - 86*T1^4*T2 + 
     2590*T1^5*T2 - 1518*T1^6*T2 + 212*T1^7*T2 - 774*T2^2 + 4766*T1*T2^2 - 
     3387*T1^2*T2^2 - 14045*T1^3*T2^2 + 28371*T1^4*T2^2 - 22693*T1^5*T2^2 + 
     5073*T1^6*T2^2 + 1570*T1^7*T2^2 - 398*T1^8*T2^2 + 1037*T2^3 - 
     3826*T1*T2^3 - 14045*T1^2*T2^3 + 54415*T1^3*T2^3 - 54477*T1^4*T2^3 + 
     9221*T1^5*T2^3 + 27849*T1^6*T2^3 - 16630*T1^7*T2^3 + 1002*T1^8*T2^3 + 
     281*T1^9*T2^3 - 774*T2^4 - 86*T1*T2^4 + 28371*T1^2*T2^4 - 
     54477*T1^3*T2^4 - 5200*T1^4*T2^4 + 84086*T1^5*T2^4 - 86812*T1^6*T2^4 + 
     18225*T1^7*T2^4 + 9629*T1^8*T2^4 - 2194*T1^9*T2^4 - 22*T1^10*T2^4 + 
     280*T2^5 + 2590*T1*T2^5 - 22693*T1^2*T2^5 + 9221*T1^3*T2^5 + 
     84086*T1^4*T2^5 - 124218*T1^5*T2^5 + 51314*T1^6*T2^5 + 42397*T1^7*T2^5 - 
     36469*T1^8*T2^5 + 4144*T1^9*T2^5 + 686*T1^10*T2^5 - 60*T1^11*T2^5 - 
     33*T2^6 - 1518*T1*T2^6 + 5073*T1^2*T2^6 + 27849*T1^3*T2^6 - 
     86812*T1^4*T2^6 + 51314*T1^5*T2^6 + 54108*T1^6*T2^6 - 100302*T1^7*T2^6 + 
     40298*T1^8*T2^6 + 5563*T1^9*T2^6 - 4615*T1^10*T2^6 + 386*T1^11*T2^6 + 
     15*T1^12*T2^6 + 212*T1*T2^7 + 1570*T1^2*T2^7 - 16630*T1^3*T2^7 + 
     18225*T1^4*T2^7 + 42397*T1^5*T2^7 - 100302*T1^6*T2^7 + 75230*T1^7*T2^7 + 
     708*T1^8*T2^7 - 27465*T1^9*T2^7 + 10207*T1^10*T2^7 - 334*T1^11*T2^7 - 
     128*T1^12*T2^7 - 398*T1^2*T2^8 + 1002*T1^3*T2^8 + 9629*T1^4*T2^8 - 
     36469*T1^5*T2^8 + 40298*T1^6*T2^8 + 708*T1^7*T2^8 - 41314*T1^8*T2^8 + 
     36233*T1^9*T2^8 - 9113*T1^10*T2^8 - 1106*T1^11*T2^8 + 354*T1^12*T2^8 + 
     281*T1^3*T2^9 - 2194*T1^4*T2^9 + 4144*T1^5*T2^9 + 5563*T1^6*T2^9 - 
     27465*T1^7*T2^9 + 36233*T1^8*T2^9 - 21003*T1^9*T2^9 + 1559*T1^10*T2^9 + 
     2634*T1^11*T2^9 - 475*T1^12*T2^9 - 22*T1^4*T2^10 + 686*T1^5*T2^10 - 
     4615*T1^6*T2^10 + 10207*T1^7*T2^10 - 9113*T1^8*T2^10 + 1559*T1^9*T2^10 + 
     3845*T1^10*T2^10 - 2510*T1^11*T2^10 + 354*T1^12*T2^10 - 60*T1^5*T2^11 + 
     386*T1^6*T2^11 - 334*T1^7*T2^11 - 1106*T1^8*T2^11 + 2634*T1^9*T2^11 - 
     2510*T1^10*T2^11 + 1032*T1^11*T2^11 - 128*T1^12*T2^11 + 15*T1^6*T2^12 - 
     128*T1^7*T2^12 + 354*T1^8*T2^12 - 475*T1^9*T2^12 + 354*T1^10*T2^12 - 
     128*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 666] -> 
  {((1 - T + T^2)*(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4))/T^3, 
   (-111 + 739*T1 - 1801*T1^2 + 2307*T1^3 - 1801*T1^4 + 739*T1^5 - 111*T1^6 + 
     739*T2 - 4368*T1*T2 + 8299*T1^2*T2 - 6332*T1^3*T2 + 388*T1^4*T2 + 
     4159*T1^5*T2 - 2988*T1^6*T2 + 559*T1^7*T2 - 1801*T2^2 + 8299*T1*T2^2 - 
     5499*T1^2*T2^2 - 16660*T1^3*T2^2 + 33189*T1^4*T2^2 - 29302*T1^5*T2^2 + 
     8025*T1^6*T2^2 + 2419*T1^7*T2^2 - 919*T1^8*T2^2 + 2307*T2^3 - 
     6332*T1*T2^3 - 16660*T1^2*T2^3 + 59097*T1^3*T2^3 - 56246*T1^4*T2^3 + 
     14391*T1^5*T2^3 + 28899*T1^6*T2^3 - 21903*T1^7*T2^3 + 2068*T1^8*T2^3 + 
     606*T1^9*T2^3 - 1801*T2^4 + 388*T1*T2^4 + 33189*T1^2*T2^4 - 
     56246*T1^3*T2^4 - 2817*T1^4*T2^4 + 70169*T1^5*T2^4 - 84129*T1^6*T2^4 + 
     22630*T1^7*T2^4 + 11601*T1^8*T2^4 - 3812*T1^9*T2^4 - 37*T1^10*T2^4 + 
     739*T2^5 + 4159*T1*T2^5 - 29302*T1^2*T2^5 + 14391*T1^3*T2^5 + 
     70169*T1^4*T2^5 - 100413*T1^5*T2^5 + 49371*T1^6*T2^5 + 36506*T1^7*T2^5 - 
     39768*T1^8*T2^5 + 5537*T1^9*T2^5 + 1339*T1^10*T2^5 - 161*T1^11*T2^5 - 
     111*T2^6 - 2988*T1*T2^6 + 8025*T1^2*T2^6 + 28899*T1^3*T2^6 - 
     84129*T1^4*T2^6 + 49371*T1^5*T2^6 + 35616*T1^6*T2^6 - 84595*T1^7*T2^6 + 
     38609*T1^8*T2^6 + 7857*T1^9*T2^6 - 6923*T1^10*T2^6 + 732*T1^11*T2^6 + 
     51*T1^12*T2^6 + 559*T1*T2^7 + 2419*T1^2*T2^7 - 21903*T1^3*T2^7 + 
     22630*T1^4*T2^7 + 36506*T1^5*T2^7 - 84595*T1^6*T2^7 + 65189*T1^7*T2^7 + 
     2843*T1^8*T2^7 - 31529*T1^9*T2^7 + 12936*T1^10*T2^7 - 401*T1^11*T2^7 - 
     341*T1^12*T2^7 - 919*T1^2*T2^8 + 2068*T1^3*T2^8 + 11601*T1^4*T2^8 - 
     39768*T1^5*T2^8 + 38609*T1^6*T2^8 + 2843*T1^7*T2^8 - 42703*T1^8*T2^8 + 
     39108*T1^9*T2^8 - 9987*T1^10*T2^8 - 2132*T1^11*T2^8 + 845*T1^12*T2^8 + 
     606*T1^3*T2^9 - 3812*T1^4*T2^9 + 5537*T1^5*T2^9 + 7857*T1^6*T2^9 - 
     31529*T1^7*T2^9 + 39108*T1^8*T2^9 - 22341*T1^9*T2^9 + 294*T1^10*T2^9 + 
     4588*T1^11*T2^9 - 1095*T1^12*T2^9 - 37*T1^4*T2^10 + 1339*T1^5*T2^10 - 
     6923*T1^6*T2^10 + 12936*T1^7*T2^10 - 9987*T1^8*T2^10 + 294*T1^9*T2^10 + 
     6601*T1^10*T2^10 - 4541*T1^11*T2^10 + 845*T1^12*T2^10 - 161*T1^5*T2^11 + 
     732*T1^6*T2^11 - 401*T1^7*T2^11 - 2132*T1^8*T2^11 + 4588*T1^9*T2^11 - 
     4541*T1^10*T2^11 + 2112*T1^11*T2^11 - 341*T1^12*T2^11 + 51*T1^6*T2^12 - 
     341*T1^7*T2^12 + 845*T1^8*T2^12 - 1095*T1^9*T2^12 + 845*T1^10*T2^12 - 
     341*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 667] -> 
  {((2 - 3*T + 3*T^2 - 2*T^3 + T^4)*(1 - 2*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-33 + 115*T1 - 247*T1^2 + 380*T1^3 - 447*T1^4 + 380*T1^5 - 247*T1^6 + 
     115*T1^7 - 33*T1^8 + 115*T2 - 314*T1*T2 + 558*T1^2*T2 - 673*T1^3*T2 + 
     555*T1^4*T2 - 145*T1^5*T2 - 141*T1^6*T2 + 250*T1^7*T2 - 188*T1^8*T2 + 
     87*T1^9*T2 - 247*T2^2 + 558*T1*T2^2 - 922*T1^2*T2^2 + 1028*T1^3*T2^2 - 
     834*T1^4*T2^2 + 244*T1^5*T2^2 - 114*T1^6*T2^2 + 68*T1^7*T2^2 - 
     142*T1^8*T2^2 + 138*T1^9*T2^2 - 127*T1^10*T2^2 + 380*T2^3 - 
     673*T1*T2^3 + 1028*T1^2*T2^3 - 971*T1^3*T2^3 + 659*T1^4*T2^3 + 
     97*T1^5*T2^3 + 91*T1^6*T2^3 - 43*T1^7*T2^3 + 169*T1^8*T2^3 - 
     97*T1^9*T2^3 + 83*T1^10*T2^3 + 104*T1^11*T2^3 - 447*T2^4 + 555*T1*T2^4 - 
     834*T1^2*T2^4 + 659*T1^3*T2^4 - 484*T1^4*T2^4 - 119*T1^5*T2^4 - 
     584*T1^6*T2^4 + 289*T1^7*T2^4 - 236*T1^8*T2^4 - 123*T1^9*T2^4 + 
     152*T1^10*T2^4 - 313*T1^11*T2^4 - 15*T1^12*T2^4 + 380*T2^5 - 
     145*T1*T2^5 + 244*T1^2*T2^5 + 97*T1^3*T2^5 - 119*T1^4*T2^5 + 
     450*T1^5*T2^5 + 703*T1^6*T2^5 - 61*T1^7*T2^5 + 32*T1^8*T2^5 + 
     256*T1^9*T2^5 - 13*T1^10*T2^5 + 73*T1^11*T2^5 + 331*T1^12*T2^5 - 
     80*T1^13*T2^5 - 247*T2^6 - 141*T1*T2^6 - 114*T1^2*T2^6 + 91*T1^3*T2^6 - 
     584*T1^4*T2^6 + 703*T1^5*T2^6 - 1760*T1^6*T2^6 + 298*T1^7*T2^6 - 
     4*T1^8*T2^6 - 297*T1^9*T2^6 - 6*T1^10*T2^6 - 59*T1^11*T2^6 - 
     302*T1^12*T2^6 - 113*T1^13*T2^6 + 113*T1^14*T2^6 + 115*T2^7 + 
     250*T1*T2^7 + 68*T1^2*T2^7 - 43*T1^3*T2^7 + 289*T1^4*T2^7 - 
     61*T1^5*T2^7 + 298*T1^6*T2^7 + 1401*T1^7*T2^7 - 987*T1^8*T2^7 + 
     361*T1^9*T2^7 + 231*T1^10*T2^7 - 218*T1^11*T2^7 + 339*T1^12*T2^7 + 
     203*T1^13*T2^7 - 114*T1^14*T2^7 - 81*T1^15*T2^7 - 33*T2^8 - 
     188*T1*T2^8 - 142*T1^2*T2^8 + 169*T1^3*T2^8 - 236*T1^4*T2^8 + 
     32*T1^5*T2^8 - 4*T1^6*T2^8 - 987*T1^7*T2^8 - 72*T1^8*T2^8 + 
     907*T1^9*T2^8 - 714*T1^10*T2^8 + 288*T1^11*T2^8 - 40*T1^12*T2^8 - 
     341*T1^13*T2^8 + 80*T1^14*T2^8 + 176*T1^15*T2^8 + 31*T1^16*T2^8 + 
     87*T1*T2^9 + 138*T1^2*T2^9 - 97*T1^3*T2^9 - 123*T1^4*T2^9 + 
     256*T1^5*T2^9 - 297*T1^6*T2^9 + 361*T1^7*T2^9 + 907*T1^8*T2^9 - 
     1481*T1^9*T2^9 + 424*T1^10*T2^9 - 5*T1^11*T2^9 - 251*T1^12*T2^9 + 
     259*T1^13*T2^9 + 38*T1^14*T2^9 - 226*T1^15*T2^9 - 109*T1^16*T2^9 - 
     127*T1^2*T2^10 + 83*T1^3*T2^10 + 152*T1^4*T2^10 - 13*T1^5*T2^10 - 
     6*T1^6*T2^10 + 231*T1^7*T2^10 - 714*T1^8*T2^10 + 424*T1^9*T2^10 + 
     1042*T1^10*T2^10 - 769*T1^11*T2^10 + 572*T1^12*T2^10 - 163*T1^13*T2^10 - 
     36*T1^14*T2^10 + 111*T1^15*T2^10 + 233*T1^16*T2^10 + 104*T1^3*T2^11 - 
     313*T1^4*T2^11 + 73*T1^5*T2^11 - 59*T1^6*T2^11 - 218*T1^7*T2^11 + 
     288*T1^8*T2^11 - 5*T1^9*T2^11 - 769*T1^10*T2^11 - 130*T1^11*T2^11 + 
     157*T1^12*T2^11 - 169*T1^13*T2^11 - 98*T1^14*T2^11 + 163*T1^15*T2^11 - 
     356*T1^16*T2^11 - 15*T1^4*T2^12 + 331*T1^5*T2^12 - 302*T1^6*T2^12 + 
     339*T1^7*T2^12 - 40*T1^8*T2^12 - 251*T1^9*T2^12 + 572*T1^10*T2^12 + 
     157*T1^11*T2^12 + 208*T1^12*T2^12 - 443*T1^13*T2^12 + 684*T1^14*T2^12 - 
     537*T1^15*T2^12 + 417*T1^16*T2^12 - 80*T1^5*T2^13 - 113*T1^6*T2^13 + 
     203*T1^7*T2^13 - 341*T1^8*T2^13 + 259*T1^9*T2^13 - 163*T1^10*T2^13 - 
     169*T1^11*T2^13 - 443*T1^12*T2^13 + 799*T1^13*T2^13 - 922*T1^14*T2^13 + 
     643*T1^15*T2^13 - 356*T1^16*T2^13 + 113*T1^6*T2^14 - 114*T1^7*T2^14 + 
     80*T1^8*T2^14 + 38*T1^9*T2^14 - 36*T1^10*T2^14 - 98*T1^11*T2^14 + 
     684*T1^12*T2^14 - 922*T1^13*T2^14 + 860*T1^14*T2^14 - 534*T1^15*T2^14 + 
     233*T1^16*T2^14 - 81*T1^7*T2^15 + 176*T1^8*T2^15 - 226*T1^9*T2^15 + 
     111*T1^10*T2^15 + 163*T1^11*T2^15 - 537*T1^12*T2^15 + 643*T1^13*T2^15 - 
     534*T1^14*T2^15 + 302*T1^15*T2^15 - 109*T1^16*T2^15 + 31*T1^8*T2^16 - 
     109*T1^9*T2^16 + 233*T1^10*T2^16 - 356*T1^11*T2^16 + 417*T1^12*T2^16 - 
     356*T1^13*T2^16 + 233*T1^14*T2^16 - 109*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 668] -> 
  {((1 - T + T^2)^3*(2 - 3*T + 2*T^2))/T^4, 
   (-33 + 148*T1 - 378*T1^2 + 624*T1^3 - 739*T1^4 + 624*T1^5 - 378*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1194*T1^2*T2 - 1518*T1^3*T2 + 
     1200*T1^4*T2 - 294*T1^5*T2 - 420*T1^6*T2 + 618*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 378*T2^2 + 1194*T1*T2^2 - 2281*T1^2*T2^2 + 
     2301*T1^3*T2^2 - 1272*T1^4*T2^2 - 329*T1^5*T2^2 + 752*T1^6*T2^2 - 
     367*T1^7*T2^2 - 349*T1^8*T2^2 + 366*T1^9*T2^2 - 194*T1^10*T2^2 + 
     624*T2^3 - 1518*T1*T2^3 + 2301*T1^2*T2^3 - 949*T1^3*T2^3 - 
     888*T1^4*T2^3 + 2329*T1^5*T2^3 - 944*T1^6*T2^3 - 573*T1^7*T2^3 + 
     1547*T1^8*T2^3 - 666*T1^9*T2^3 + 120*T1^10*T2^3 + 168*T1^11*T2^3 - 
     739*T2^4 + 1200*T1*T2^4 - 1272*T1^2*T2^4 - 888*T1^3*T2^4 + 
     1171*T1^4*T2^4 - 62*T1^5*T2^4 - 3903*T1^6*T2^4 + 4546*T1^7*T2^4 - 
     3185*T1^8*T2^4 - 204*T1^9*T2^4 + 852*T1^10*T2^4 - 672*T1^11*T2^4 - 
     19*T1^12*T2^4 + 624*T2^5 - 294*T1*T2^5 - 329*T1^2*T2^5 + 
     2329*T1^3*T2^5 - 62*T1^4*T2^5 - 2851*T1^5*T2^5 + 6740*T1^6*T2^5 - 
     3847*T1^7*T2^5 + 53*T1^8*T2^5 + 3470*T1^9*T2^5 - 1562*T1^10*T2^5 + 
     118*T1^11*T2^5 + 696*T1^12*T2^5 - 136*T1^13*T2^5 - 378*T2^6 - 
     420*T1*T2^6 + 752*T1^2*T2^6 - 944*T1^3*T2^6 - 3903*T1^4*T2^6 + 
     6740*T1^5*T2^6 - 7586*T1^6*T2^6 + 400*T1^7*T2^6 + 4078*T1^8*T2^6 - 
     4954*T1^9*T2^6 + 3*T1^10*T2^6 + 1402*T1^11*T2^6 - 1072*T1^12*T2^6 - 
     168*T1^13*T2^6 + 174*T1^14*T2^6 + 148*T2^7 + 618*T1*T2^7 - 
     367*T1^2*T2^7 - 573*T1^3*T2^7 + 4546*T1^4*T2^7 - 3847*T1^5*T2^7 + 
     400*T1^6*T2^7 + 7011*T1^7*T2^7 - 6711*T1^8*T2^7 + 1624*T1^9*T2^7 + 
     4526*T1^10*T2^7 - 3290*T1^11*T2^7 + 588*T1^12*T2^7 + 806*T1^13*T2^7 - 
     318*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 - 
     349*T1^2*T2^8 + 1547*T1^3*T2^8 - 3185*T1^4*T2^8 + 53*T1^5*T2^8 + 
     4078*T1^6*T2^8 - 6711*T1^7*T2^8 + 1212*T1^8*T2^8 + 5379*T1^9*T2^8 - 
     6418*T1^10*T2^8 + 947*T1^11*T2^8 + 2463*T1^12*T2^8 - 1759*T1^13*T2^8 + 
     245*T1^14*T2^8 + 330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 
     366*T1^2*T2^9 - 666*T1^3*T2^9 - 204*T1^4*T2^9 + 3470*T1^5*T2^9 - 
     4954*T1^6*T2^9 + 1624*T1^7*T2^9 + 5379*T1^8*T2^9 - 8343*T1^9*T2^9 + 
     2848*T1^10*T2^9 + 3419*T1^11*T2^9 - 4366*T1^12*T2^9 + 957*T1^13*T2^9 + 
     507*T1^14*T2^9 - 570*T1^15*T2^9 - 140*T1^16*T2^9 - 194*T1^2*T2^10 + 
     120*T1^3*T2^10 + 852*T1^4*T2^10 - 1562*T1^5*T2^10 + 3*T1^6*T2^10 + 
     4526*T1^7*T2^10 - 6418*T1^8*T2^10 + 2848*T1^9*T2^10 + 5246*T1^10*T2^10 - 
     7168*T1^11*T2^10 + 3909*T1^12*T2^10 + 784*T1^13*T2^10 - 
     972*T1^14*T2^10 + 372*T1^15*T2^10 + 358*T1^16*T2^10 + 168*T1^3*T2^11 - 
     672*T1^4*T2^11 + 118*T1^5*T2^11 + 1402*T1^6*T2^11 - 3290*T1^7*T2^11 + 
     947*T1^8*T2^11 + 3419*T1^9*T2^11 - 7168*T1^10*T2^11 + 3851*T1^11*T2^11 + 
     242*T1^12*T2^11 - 2489*T1^13*T2^11 + 565*T1^14*T2^11 + 318*T1^15*T2^11 - 
     592*T1^16*T2^11 - 19*T1^4*T2^12 + 696*T1^5*T2^12 - 1072*T1^6*T2^12 + 
     588*T1^7*T2^12 + 2463*T1^8*T2^12 - 4366*T1^9*T2^12 + 3909*T1^10*T2^12 + 
     242*T1^11*T2^12 - 1893*T1^12*T2^12 + 1272*T1^13*T2^12 + 
     1052*T1^14*T2^12 - 1176*T1^15*T2^12 + 701*T1^16*T2^12 - 136*T1^5*T2^13 - 
     168*T1^6*T2^13 + 806*T1^7*T2^13 - 1759*T1^8*T2^13 + 957*T1^9*T2^13 + 
     784*T1^10*T2^13 - 2489*T1^11*T2^13 + 1272*T1^12*T2^13 + 
     737*T1^13*T2^13 - 2161*T1^14*T2^13 + 1470*T1^15*T2^13 - 
     592*T1^16*T2^13 + 174*T1^6*T2^14 - 318*T1^7*T2^14 + 245*T1^8*T2^14 + 
     507*T1^9*T2^14 - 972*T1^10*T2^14 + 565*T1^11*T2^14 + 1052*T1^12*T2^14 - 
     2161*T1^13*T2^14 + 2177*T1^14*T2^14 - 1146*T1^15*T2^14 + 
     358*T1^16*T2^14 - 104*T1^7*T2^15 + 330*T1^8*T2^15 - 570*T1^9*T2^15 + 
     372*T1^10*T2^15 + 318*T1^11*T2^15 - 1176*T1^12*T2^15 + 
     1470*T1^13*T2^15 - 1146*T1^14*T2^15 + 528*T1^15*T2^15 - 
     140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 358*T1^10*T2^16 - 
     592*T1^11*T2^16 + 701*T1^12*T2^16 - 592*T1^13*T2^16 + 358*T1^14*T2^16 - 
     140*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 669] -> 
  {(3 - 9*T + 14*T^2 - 15*T^3 + 14*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-63 + 189*T1 - 298*T1^2 + 321*T1^3 - 298*T1^4 + 189*T1^5 - 63*T1^6 + 
     189*T2 - 459*T1*T2 + 570*T1^2*T2 - 447*T1^3*T2 + 336*T1^4*T2 - 
     51*T1^5*T2 - 135*T1^6*T2 + 108*T1^7*T2 - 298*T2^2 + 570*T1*T2^2 - 
     519*T1^2*T2^2 + 211*T1^3*T2^2 - 115*T1^4*T2^2 - 293*T1^5*T2^2 + 
     405*T1^6*T2^2 - 186*T1^7*T2^2 - 46*T1^8*T2^2 + 321*T2^3 - 447*T1*T2^3 + 
     211*T1^2*T2^3 + 141*T1^3*T2^3 - 71*T1^4*T2^3 + 478*T1^5*T2^3 - 
     327*T1^6*T2^3 - 167*T1^7*T2^3 + 390*T1^8*T2^3 - 84*T1^9*T2^3 - 
     298*T2^4 + 336*T1*T2^4 - 115*T1^2*T2^4 - 71*T1^3*T2^4 - 164*T1^4*T2^4 - 
     320*T1^5*T2^4 + 64*T1^6*T2^4 + 379*T1^7*T2^4 - 193*T1^8*T2^4 - 
     366*T1^9*T2^4 + 206*T1^10*T2^4 + 189*T2^5 - 51*T1*T2^5 - 293*T1^2*T2^5 + 
     478*T1^3*T2^5 - 320*T1^4*T2^5 + 769*T1^5*T2^5 - 215*T1^6*T2^5 - 
     236*T1^7*T2^5 - 269*T1^8*T2^5 + 589*T1^9*T2^5 + 30*T1^10*T2^5 - 
     216*T1^11*T2^5 - 63*T2^6 - 135*T1*T2^6 + 405*T1^2*T2^6 - 327*T1^3*T2^6 + 
     64*T1^4*T2^6 - 215*T1^5*T2^6 - 396*T1^6*T2^6 + 511*T1^7*T2^6 + 
     272*T1^8*T2^6 - 129*T1^9*T2^6 - 579*T1^10*T2^6 + 351*T1^11*T2^6 + 
     99*T1^12*T2^6 + 108*T1*T2^7 - 186*T1^2*T2^7 - 167*T1^3*T2^7 + 
     379*T1^4*T2^7 - 236*T1^5*T2^7 + 511*T1^6*T2^7 - 473*T1^7*T2^7 - 
     152*T1^8*T2^7 - 368*T1^9*T2^7 + 715*T1^10*T2^7 - 105*T1^11*T2^7 - 
     297*T1^12*T2^7 - 46*T1^2*T2^8 + 390*T1^3*T2^8 - 193*T1^4*T2^8 - 
     269*T1^5*T2^8 + 272*T1^6*T2^8 - 152*T1^7*T2^8 + 500*T1^8*T2^8 + 
     181*T1^9*T2^8 - 271*T1^10*T2^8 - 312*T1^11*T2^8 + 458*T1^12*T2^8 - 
     84*T1^3*T2^9 - 366*T1^4*T2^9 + 589*T1^5*T2^9 - 129*T1^6*T2^9 - 
     368*T1^7*T2^9 + 181*T1^8*T2^9 - 597*T1^9*T2^9 + 211*T1^10*T2^9 + 
     471*T1^11*T2^9 - 489*T1^12*T2^9 + 206*T1^4*T2^10 + 30*T1^5*T2^10 - 
     579*T1^6*T2^10 + 715*T1^7*T2^10 - 271*T1^8*T2^10 + 211*T1^9*T2^10 + 
     345*T1^10*T2^10 - 726*T1^11*T2^10 + 458*T1^12*T2^10 - 216*T1^5*T2^11 + 
     351*T1^6*T2^11 - 105*T1^7*T2^11 - 312*T1^8*T2^11 + 471*T1^9*T2^11 - 
     726*T1^10*T2^11 + 675*T1^11*T2^11 - 297*T1^12*T2^11 + 99*T1^6*T2^12 - 
     297*T1^7*T2^12 + 458*T1^8*T2^12 - 489*T1^9*T2^12 + 458*T1^10*T2^12 - 
     297*T1^11*T2^12 + 99*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 670] -> 
  {((1 - T + T^2)*(2 - 9*T + 18*T^2 - 21*T^3 + 18*T^4 - 9*T^5 + 2*T^6))/T^4, 
   (-33 + 181*T1 - 476*T1^2 + 787*T1^3 - 935*T1^4 + 787*T1^5 - 476*T1^6 + 
     181*T1^7 - 33*T1^8 + 181*T2 - 856*T1*T2 + 1861*T1^2*T2 - 2345*T1^3*T2 + 
     1868*T1^4*T2 - 442*T1^5*T2 - 651*T1^6*T2 + 981*T1^7*T2 - 570*T1^8*T2 + 
     137*T1^9*T2 - 476*T2^2 + 1861*T1*T2^2 - 3006*T1^2*T2^2 + 
     1911*T1^3*T2^2 + 802*T1^4*T2^2 - 3992*T1^5*T2^2 + 4050*T1^6*T2^2 - 
     2381*T1^7*T2^2 + 126*T1^8*T2^2 + 585*T1^9*T2^2 - 244*T1^10*T2^2 + 
     787*T2^3 - 2345*T1*T2^3 + 1911*T1^2*T2^3 + 2433*T1^3*T2^3 - 
     6443*T1^4*T2^3 + 8270*T1^5*T2^3 - 3049*T1^6*T2^3 - 1464*T1^7*T2^3 + 
     4073*T1^8*T2^3 - 2294*T1^9*T2^3 + 185*T1^10*T2^3 + 211*T1^11*T2^3 - 
     935*T2^4 + 1868*T1*T2^4 + 802*T1^2*T2^4 - 6443*T1^3*T2^4 + 
     6862*T1^4*T2^4 - 3361*T1^5*T2^4 - 7366*T1^6*T2^4 + 9335*T1^7*T2^4 - 
     7130*T1^8*T2^4 + 181*T1^9*T2^4 + 2410*T1^10*T2^4 - 1036*T1^11*T2^4 - 
     23*T1^12*T2^4 + 787*T2^5 - 442*T1*T2^5 - 3992*T1^2*T2^5 + 
     8270*T1^3*T2^5 - 3361*T1^4*T2^5 - 3279*T1^5*T2^5 + 13418*T1^6*T2^5 - 
     7105*T1^7*T2^5 - 3*T1^8*T2^5 + 7649*T1^9*T2^5 - 5143*T1^10*T2^5 - 
     5*T1^11*T2^5 + 1076*T1^12*T2^5 - 173*T1^13*T2^5 - 476*T2^6 - 
     651*T1*T2^6 + 4050*T1^2*T2^6 - 3049*T1^3*T2^6 - 7366*T1^4*T2^6 + 
     13418*T1^5*T2^6 - 16789*T1^6*T2^6 + 1075*T1^7*T2^6 + 7031*T1^8*T2^6 - 
     9448*T1^9*T2^6 + 356*T1^10*T2^6 + 5129*T1^11*T2^6 - 2478*T1^12*T2^6 - 
     255*T1^13*T2^6 + 220*T1^14*T2^6 + 181*T2^7 + 981*T1*T2^7 - 
     2381*T1^2*T2^7 - 1464*T1^3*T2^7 + 9335*T1^4*T2^7 - 7105*T1^5*T2^7 + 
     1075*T1^6*T2^7 + 14825*T1^7*T2^7 - 12701*T1^8*T2^7 + 3063*T1^9*T2^7 + 
     8732*T1^10*T2^7 - 8419*T1^11*T2^7 + 137*T1^12*T2^7 + 2346*T1^13*T2^7 - 
     515*T1^14*T2^7 - 127*T1^15*T2^7 - 33*T2^8 - 570*T1*T2^8 + 
     126*T1^2*T2^8 + 4073*T1^3*T2^8 - 7130*T1^4*T2^8 - 3*T1^5*T2^8 + 
     7031*T1^6*T2^8 - 12701*T1^7*T2^8 + 876*T1^8*T2^8 + 11105*T1^9*T2^8 - 
     12365*T1^10*T2^8 + 2787*T1^11*T2^8 + 6714*T1^12*T2^8 - 4197*T1^13*T2^8 - 
     204*T1^14*T2^8 + 530*T1^15*T2^8 + 31*T1^16*T2^8 + 137*T1*T2^9 + 
     585*T1^2*T2^9 - 2294*T1^3*T2^9 + 181*T1^4*T2^9 + 7649*T1^5*T2^9 - 
     9448*T1^6*T2^9 + 3063*T1^7*T2^9 + 11105*T1^8*T2^9 - 16421*T1^9*T2^9 + 
     5051*T1^10*T2^9 + 6389*T1^11*T2^9 - 10105*T1^12*T2^9 + 1782*T1^13*T2^9 + 
     2433*T1^14*T2^9 - 911*T1^15*T2^9 - 171*T1^16*T2^9 - 244*T1^2*T2^10 + 
     185*T1^3*T2^10 + 2410*T1^4*T2^10 - 5143*T1^5*T2^10 + 356*T1^6*T2^10 + 
     8732*T1^7*T2^10 - 12365*T1^8*T2^10 + 5051*T1^9*T2^10 + 
     11455*T1^10*T2^10 - 14134*T1^11*T2^10 + 8078*T1^12*T2^10 + 
     3035*T1^13*T2^10 - 4118*T1^14*T2^10 + 581*T1^15*T2^10 + 
     452*T1^16*T2^10 + 211*T1^3*T2^11 - 1036*T1^4*T2^11 - 5*T1^5*T2^11 + 
     5129*T1^6*T2^11 - 8419*T1^7*T2^11 + 2787*T1^8*T2^11 + 6389*T1^9*T2^11 - 
     14134*T1^10*T2^11 + 6063*T1^11*T2^11 + 2591*T1^12*T2^11 - 
     8284*T1^13*T2^11 + 3982*T1^14*T2^11 + 482*T1^15*T2^11 - 
     749*T1^16*T2^11 - 23*T1^4*T2^12 + 1076*T1^5*T2^12 - 2478*T1^6*T2^12 + 
     137*T1^7*T2^12 + 6714*T1^8*T2^12 - 10105*T1^9*T2^12 + 8078*T1^10*T2^12 + 
     2591*T1^11*T2^12 - 7278*T1^12*T2^12 + 6761*T1^13*T2^12 - 
     870*T1^14*T2^12 - 1828*T1^15*T2^12 + 889*T1^16*T2^12 - 173*T1^5*T2^13 - 
     255*T1^6*T2^13 + 2346*T1^7*T2^13 - 4197*T1^8*T2^13 + 1782*T1^9*T2^13 + 
     3035*T1^10*T2^13 - 8284*T1^11*T2^13 + 6761*T1^12*T2^13 - 
     2557*T1^13*T2^13 - 1859*T1^14*T2^13 + 2275*T1^15*T2^13 - 
     749*T1^16*T2^13 + 220*T1^6*T2^14 - 515*T1^7*T2^14 - 204*T1^8*T2^14 + 
     2433*T1^9*T2^14 - 4118*T1^10*T2^14 + 3982*T1^11*T2^14 - 
     870*T1^12*T2^14 - 1859*T1^13*T2^14 + 2928*T1^14*T2^14 - 
     1791*T1^15*T2^14 + 452*T1^16*T2^14 - 127*T1^7*T2^15 + 530*T1^8*T2^15 - 
     911*T1^9*T2^15 + 581*T1^10*T2^15 + 482*T1^11*T2^15 - 1828*T1^12*T2^15 + 
     2275*T1^13*T2^15 - 1791*T1^14*T2^15 + 816*T1^15*T2^15 - 
     171*T1^16*T2^15 + 31*T1^8*T2^16 - 171*T1^9*T2^16 + 452*T1^10*T2^16 - 
     749*T1^11*T2^16 + 889*T1^12*T2^16 - 749*T1^13*T2^16 + 452*T1^14*T2^16 - 
     171*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 671] -> 
  {(2 - 9*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-49 + 220*T1 - 537*T1^2 + 828*T1^3 - 949*T1^4 + 828*T1^5 - 
     537*T1^6 + 220*T1^7 - 49*T1^8 + 220*T2 - 804*T1*T2 + 1586*T1^2*T2 - 
     1704*T1^3*T2 + 1156*T1^4*T2 - 158*T1^5*T2 - 696*T1^6*T2 + 1028*T1^7*T2 - 
     606*T1^8*T2 + 184*T1^9*T2 - 537*T2^2 + 1586*T1*T2^2 - 2525*T1^2*T2^2 + 
     1582*T1^3*T2^2 - 257*T1^4*T2^2 - 1009*T1^5*T2^2 + 1239*T1^6*T2^2 - 
     618*T1^7*T2^2 - 765*T1^8*T2^2 + 794*T1^9*T2^2 - 361*T1^10*T2^2 + 
     828*T2^3 - 1704*T1*T2^3 + 1582*T1^2*T2^3 + 1442*T1^3*T2^3 - 
     2468*T1^4*T2^3 + 2433*T1^5*T2^3 - 597*T1^6*T2^3 - 1172*T1^7*T2^3 + 
     2648*T1^8*T2^3 - 728*T1^9*T2^3 - 264*T1^10*T2^3 + 420*T1^11*T2^3 - 
     949*T2^4 + 1156*T1*T2^4 - 257*T1^2*T2^4 - 2468*T1^3*T2^4 - 
     729*T1^4*T2^4 + 3612*T1^5*T2^4 - 6519*T1^6*T2^4 + 6216*T1^7*T2^4 - 
     4485*T1^8*T2^4 - 836*T1^9*T2^4 + 1099*T1^10*T2^4 - 428*T1^11*T2^4 - 
     325*T1^12*T2^4 + 828*T2^5 - 158*T1*T2^5 - 1009*T1^2*T2^5 + 
     2433*T1^3*T2^5 + 3612*T1^4*T2^5 - 4873*T1^5*T2^5 + 4885*T1^6*T2^5 - 
     1291*T1^7*T2^5 - 1289*T1^8*T2^5 + 5072*T1^9*T2^5 - 945*T1^10*T2^5 - 
     508*T1^11*T2^5 + 796*T1^12*T2^5 + 148*T1^13*T2^5 - 537*T2^6 - 
     696*T1*T2^6 + 1239*T1^2*T2^6 - 597*T1^3*T2^6 - 6519*T1^4*T2^6 + 
     4885*T1^5*T2^6 - 3343*T1^6*T2^6 - 81*T1^7*T2^6 + 509*T1^8*T2^6 - 
     1703*T1^9*T2^6 - 3519*T1^10*T2^6 + 1911*T1^11*T2^6 - 537*T1^12*T2^6 - 
     624*T1^13*T2^6 - 9*T1^14*T2^6 + 220*T2^7 + 1028*T1*T2^7 - 
     618*T1^2*T2^7 - 1172*T1^3*T2^7 + 6216*T1^4*T2^7 - 1291*T1^5*T2^7 - 
     81*T1^6*T2^7 + 1114*T1^7*T2^7 + 676*T1^8*T2^7 - 669*T1^9*T2^7 + 
     4061*T1^10*T2^7 + 180*T1^11*T2^7 - 1124*T1^12*T2^7 + 1032*T1^13*T2^7 + 
     182*T1^14*T2^7 - 32*T1^15*T2^7 - 49*T2^8 - 606*T1*T2^8 - 765*T1^2*T2^8 + 
     2648*T1^3*T2^8 - 4485*T1^4*T2^8 - 1289*T1^5*T2^8 + 509*T1^6*T2^8 + 
     676*T1^7*T2^8 - 2112*T1^8*T2^8 + 1012*T1^9*T2^8 - 1479*T1^10*T2^8 - 
     3007*T1^11*T2^8 + 2023*T1^12*T2^8 - 548*T1^13*T2^8 - 563*T1^14*T2^8 + 
     78*T1^15*T2^8 + 15*T1^16*T2^8 + 184*T1*T2^9 + 794*T1^2*T2^9 - 
     728*T1^3*T2^9 - 836*T1^4*T2^9 + 5072*T1^5*T2^9 - 1703*T1^6*T2^9 - 
     669*T1^7*T2^9 + 1012*T1^8*T2^9 + 574*T1^9*T2^9 - 1257*T1^10*T2^9 + 
     3649*T1^11*T2^9 - 964*T1^12*T2^9 - 788*T1^13*T2^9 + 922*T1^14*T2^9 - 
     52*T1^15*T2^9 - 68*T1^16*T2^9 - 361*T1^2*T2^10 - 264*T1^3*T2^10 + 
     1099*T1^4*T2^10 - 945*T1^5*T2^10 - 3519*T1^6*T2^10 + 4061*T1^7*T2^10 - 
     1479*T1^8*T2^10 - 1257*T1^9*T2^10 + 2373*T1^10*T2^10 - 
     2527*T1^11*T2^10 - 519*T1^12*T2^10 + 1563*T1^13*T2^10 - 
     677*T1^14*T2^10 - 192*T1^15*T2^10 + 167*T1^16*T2^10 + 420*T1^3*T2^11 - 
     428*T1^4*T2^11 - 508*T1^5*T2^11 + 1911*T1^6*T2^11 + 180*T1^7*T2^11 - 
     3007*T1^8*T2^11 + 3649*T1^9*T2^11 - 2527*T1^10*T2^11 + 577*T1^11*T2^11 + 
     1640*T1^12*T2^11 - 1467*T1^13*T2^11 - 7*T1^14*T2^11 + 526*T1^15*T2^11 - 
     260*T1^16*T2^11 - 325*T1^4*T2^12 + 796*T1^5*T2^12 - 537*T1^6*T2^12 - 
     1124*T1^7*T2^12 + 2023*T1^8*T2^12 - 964*T1^9*T2^12 - 519*T1^10*T2^12 + 
     1640*T1^11*T2^12 - 1733*T1^12*T2^12 + 508*T1^13*T2^12 + 
     819*T1^14*T2^12 - 788*T1^15*T2^12 + 299*T1^16*T2^12 + 148*T1^5*T2^13 - 
     624*T1^6*T2^13 + 1032*T1^7*T2^13 - 548*T1^8*T2^13 - 788*T1^9*T2^13 + 
     1563*T1^10*T2^13 - 1467*T1^11*T2^13 + 508*T1^12*T2^13 + 
     658*T1^13*T2^13 - 1278*T1^14*T2^13 + 816*T1^15*T2^13 - 260*T1^16*T2^13 - 
     9*T1^6*T2^14 + 182*T1^7*T2^14 - 563*T1^8*T2^14 + 922*T1^9*T2^14 - 
     677*T1^10*T2^14 - 7*T1^11*T2^14 + 819*T1^12*T2^14 - 1278*T1^13*T2^14 + 
     1197*T1^14*T2^14 - 610*T1^15*T2^14 + 167*T1^16*T2^14 - 32*T1^7*T2^15 + 
     78*T1^8*T2^15 - 52*T1^9*T2^15 - 192*T1^10*T2^15 + 526*T1^11*T2^15 - 
     788*T1^12*T2^15 + 816*T1^13*T2^15 - 610*T1^14*T2^15 + 276*T1^15*T2^15 - 
     68*T1^16*T2^15 + 15*T1^8*T2^16 - 68*T1^9*T2^16 + 167*T1^10*T2^16 - 
     260*T1^11*T2^16 + 299*T1^12*T2^16 - 260*T1^13*T2^16 + 167*T1^14*T2^16 - 
     68*T1^15*T2^16 + 15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 672] -> {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^3)/T^4), 
   -((-41 + 225*T1 - 592*T1^2 + 1019*T1^3 - 1201*T1^4 + 1019*T1^5 - 
      592*T1^6 + 225*T1^7 - 41*T1^8 + 225*T2 - 1054*T1*T2 + 2257*T1^2*T2 - 
      2983*T1^3*T2 + 2100*T1^4*T2 - 298*T1^5*T2 - 1245*T1^6*T2 + 
      1377*T1^7*T2 - 768*T1^8*T2 + 181*T1^9*T2 - 592*T2^2 + 2257*T1*T2^2 - 
      3457*T1^2*T2^2 + 2331*T1^3*T2^2 + 2196*T1^4*T2^2 - 5521*T1^5*T2^2 + 
      5676*T1^6*T2^2 - 2193*T1^7*T2^2 - 325*T1^8*T2^2 + 981*T1^9*T2^2 - 
      360*T1^10*T2^2 + 1019*T2^3 - 2983*T1*T2^3 + 2331*T1^2*T2^3 + 
      2073*T1^3*T2^3 - 9034*T1^4*T2^3 + 8326*T1^5*T2^3 - 2745*T1^6*T2^3 - 
      4833*T1^7*T2^3 + 4913*T1^8*T2^3 - 2222*T1^9*T2^3 - 321*T1^10*T2^3 + 
      419*T1^11*T2^3 - 1201*T2^4 + 2100*T1*T2^4 + 2196*T1^2*T2^4 - 
      9034*T1^3*T2^4 + 14073*T1^4*T2^4 - 4464*T1^5*T2^4 - 4817*T1^6*T2^4 + 
      10128*T1^7*T2^4 - 1923*T1^8*T2^4 - 2934*T1^9*T2^4 + 3784*T1^10*T2^4 - 
      892*T1^11*T2^4 - 257*T1^12*T2^4 + 1019*T2^5 - 298*T1*T2^5 - 
      5521*T1^2*T2^5 + 8326*T1^3*T2^5 - 4464*T1^4*T2^5 - 13115*T1^5*T2^5 + 
      15528*T1^6*T2^5 - 8709*T1^7*T2^5 - 8855*T1^8*T2^5 + 9280*T1^9*T2^5 - 
      4287*T1^10*T2^5 - 1504*T1^11*T2^5 + 1308*T1^12*T2^5 + 19*T1^13*T2^5 - 
      592*T2^6 - 1245*T1*T2^6 + 5676*T1^2*T2^6 - 2745*T1^3*T2^6 - 
      4817*T1^4*T2^6 + 15528*T1^5*T2^6 - 180*T1^6*T2^6 - 15256*T1^7*T2^6 + 
      26076*T1^8*T2^6 - 9930*T1^9*T2^6 - 1891*T1^10*T2^6 + 6013*T1^11*T2^6 - 
      1588*T1^12*T2^6 - 673*T1^13*T2^6 + 104*T1^14*T2^6 + 225*T2^7 + 
      1377*T1*T2^7 - 2193*T1^2*T2^7 - 4833*T1^3*T2^7 + 10128*T1^4*T2^7 - 
      8709*T1^5*T2^7 - 15256*T1^6*T2^7 + 23145*T1^7*T2^7 - 16553*T1^8*T2^7 - 
      8232*T1^9*T2^7 + 13086*T1^10*T2^7 - 7008*T1^11*T2^7 - 1438*T1^12*T2^7 + 
      2186*T1^13*T2^7 - 119*T1^14*T2^7 - 83*T1^15*T2^7 - 41*T2^8 - 
      768*T1*T2^8 - 325*T1^2*T2^8 + 4913*T1^3*T2^8 - 1923*T1^4*T2^8 - 
      8855*T1^5*T2^8 + 26076*T1^6*T2^8 - 16553*T1^7*T2^8 - 3552*T1^8*T2^8 + 
      21501*T1^9*T2^8 - 12548*T1^10*T2^8 - 821*T1^11*T2^8 + 6221*T1^12*T2^8 - 
      2637*T1^13*T2^8 - 655*T1^14*T2^8 + 332*T1^15*T2^8 + 23*T1^16*T2^8 + 
      181*T1*T2^9 + 981*T1^2*T2^9 - 2222*T1^3*T2^9 - 2934*T1^4*T2^9 + 
      9280*T1^5*T2^9 - 9930*T1^6*T2^9 - 8232*T1^7*T2^9 + 21501*T1^8*T2^9 - 
      18197*T1^9*T2^9 - 1208*T1^10*T2^9 + 11865*T1^11*T2^9 - 
      7856*T1^12*T2^9 + 461*T1^13*T2^9 + 2157*T1^14*T2^9 - 515*T1^15*T2^9 - 
      127*T1^16*T2^9 - 360*T1^2*T2^10 - 321*T1^3*T2^10 + 3784*T1^4*T2^10 - 
      4287*T1^5*T2^10 - 1891*T1^6*T2^10 + 13086*T1^7*T2^10 - 
      12548*T1^8*T2^10 - 1208*T1^9*T2^10 + 13708*T1^10*T2^10 - 
      12372*T1^11*T2^10 + 1035*T1^12*T2^10 + 4471*T1^13*T2^10 - 
      3480*T1^14*T2^10 + 251*T1^15*T2^10 + 336*T1^16*T2^10 + 419*T1^3*T2^11 - 
      892*T1^4*T2^11 - 1504*T1^5*T2^11 + 6013*T1^6*T2^11 - 7008*T1^7*T2^11 - 
      821*T1^8*T2^11 + 11865*T1^9*T2^11 - 12372*T1^10*T2^11 + 
      3439*T1^11*T2^11 + 6736*T1^12*T2^11 - 6600*T1^13*T2^11 + 
      2513*T1^14*T2^11 + 714*T1^15*T2^11 - 581*T1^16*T2^11 - 257*T1^4*T2^12 + 
      1308*T1^5*T2^12 - 1588*T1^6*T2^12 - 1438*T1^7*T2^12 + 6221*T1^8*T2^12 - 
      7856*T1^9*T2^12 + 1035*T1^10*T2^12 + 6736*T1^11*T2^12 - 
      9775*T1^12*T2^12 + 4662*T1^13*T2^12 - 1684*T1^15*T2^12 + 
      687*T1^16*T2^12 + 19*T1^5*T2^13 - 673*T1^6*T2^13 + 2186*T1^7*T2^13 - 
      2637*T1^8*T2^13 + 461*T1^9*T2^13 + 4471*T1^10*T2^13 - 
      6600*T1^11*T2^13 + 4662*T1^12*T2^13 + 203*T1^13*T2^13 - 
      2367*T1^14*T2^13 + 1989*T1^15*T2^13 - 581*T1^16*T2^13 + 
      104*T1^6*T2^14 - 119*T1^7*T2^14 - 655*T1^8*T2^14 + 2157*T1^9*T2^14 - 
      3480*T1^10*T2^14 + 2513*T1^11*T2^14 - 2367*T1^13*T2^14 + 
      2477*T1^14*T2^14 - 1395*T1^15*T2^14 + 336*T1^16*T2^14 - 83*T1^7*T2^15 + 
      332*T1^8*T2^15 - 515*T1^9*T2^15 + 251*T1^10*T2^15 + 714*T1^11*T2^15 - 
      1684*T1^12*T2^15 + 1989*T1^13*T2^15 - 1395*T1^14*T2^15 + 
      618*T1^15*T2^15 - 127*T1^16*T2^15 + 23*T1^8*T2^16 - 127*T1^9*T2^16 + 
      336*T1^10*T2^16 - 581*T1^11*T2^16 + 687*T1^12*T2^16 - 581*T1^13*T2^16 + 
      336*T1^14*T2^16 - 127*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 673] -> 
  {-((1 - 8*T + 25*T^2 - 43*T^3 + 49*T^4 - 43*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 215*T1^3 - 245*T1^4 + 215*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 744*T1^2*T2 - 
      920*T1^3*T2 + 584*T1^4*T2 - 152*T1^5*T2 - 376*T1^6*T2 + 480*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 744*T1*T2^2 - 1145*T1^2*T2^2 - 
      457*T1^3*T2^2 + 3071*T1^4*T2^2 - 4021*T1^5*T2^2 + 4271*T1^6*T2^2 - 
      2207*T1^7*T2^2 + 55*T1^8*T2^2 + 344*T1^9*T2^2 - 75*T1^10*T2^2 + 
      215*T2^3 - 920*T1*T2^3 - 457*T1^2*T2^3 + 6161*T1^3*T2^3 - 
      9715*T1^4*T2^3 + 6391*T1^5*T2^3 - 3237*T1^6*T2^3 - 3468*T1^7*T2^3 + 
      5237*T1^8*T2^3 - 1882*T1^9*T2^3 - 88*T1^10*T2^3 + 86*T1^11*T2^3 - 
      245*T2^4 + 584*T1*T2^4 + 3071*T1^2*T2^4 - 9715*T1^3*T2^4 + 
      5706*T1^4*T2^4 + 7470*T1^5*T2^4 - 11462*T1^6*T2^4 + 17122*T1^7*T2^4 - 
      8966*T1^8*T2^4 - 1631*T1^9*T2^4 + 2467*T1^10*T2^4 - 296*T1^11*T2^4 - 
      49*T1^12*T2^4 + 215*T2^5 - 152*T1*T2^5 - 4021*T1^2*T2^5 + 
      6391*T1^3*T2^5 + 7470*T1^4*T2^5 - 21818*T1^5*T2^5 + 14458*T1^6*T2^5 - 
      11569*T1^7*T2^5 - 6290*T1^8*T2^5 + 13204*T1^9*T2^5 - 4089*T1^10*T2^5 - 
      1063*T1^11*T2^5 + 392*T1^12*T2^5 - 125*T2^6 - 376*T1*T2^6 + 
      4271*T1^2*T2^6 - 3237*T1^3*T2^6 - 11462*T1^4*T2^6 + 14458*T1^5*T2^6 + 
      5577*T1^6*T2^6 - 8709*T1^7*T2^6 + 19817*T1^8*T2^6 - 11694*T1^9*T2^6 - 
      4480*T1^10*T2^6 + 5113*T1^11*T2^6 - 537*T1^12*T2^6 - 200*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 480*T1*T2^7 - 2207*T1^2*T2^7 - 
      3468*T1^3*T2^7 + 17122*T1^4*T2^7 - 11569*T1^5*T2^7 - 8709*T1^6*T2^7 + 
      2950*T1^7*T2^7 - 4090*T1^8*T2^7 - 6658*T1^9*T2^7 + 14208*T1^10*T2^7 - 
      4284*T1^11*T2^7 - 2367*T1^12*T2^7 + 1168*T1^13*T2^7 - 72*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 55*T1^2*T2^8 + 5237*T1^3*T2^8 - 
      8966*T1^4*T2^8 - 6290*T1^5*T2^8 + 19817*T1^6*T2^8 - 4090*T1^7*T2^8 - 
      876*T1^8*T2^8 + 6314*T1^9*T2^8 - 5925*T1^10*T2^8 - 6566*T1^11*T2^8 + 
      7830*T1^12*T2^8 - 1809*T1^13*T2^8 - 317*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 344*T1^2*T2^9 - 1882*T1^3*T2^9 - 
      1631*T1^4*T2^9 + 13204*T1^5*T2^9 - 11694*T1^6*T2^9 - 6658*T1^7*T2^9 + 
      6314*T1^8*T2^9 - 726*T1^9*T2^9 - 4607*T1^10*T2^9 + 14083*T1^11*T2^9 - 
      8202*T1^12*T2^9 - 530*T1^13*T2^9 + 1493*T1^14*T2^9 - 208*T1^15*T2^9 - 
      24*T1^16*T2^9 - 75*T1^2*T2^10 - 88*T1^3*T2^10 + 2467*T1^4*T2^10 - 
      4089*T1^5*T2^10 - 4480*T1^6*T2^10 + 14208*T1^7*T2^10 - 
      5925*T1^8*T2^10 - 4607*T1^9*T2^10 + 8315*T1^10*T2^10 - 
      11944*T1^11*T2^10 + 2502*T1^12*T2^10 + 4261*T1^13*T2^10 - 
      2341*T1^14*T2^10 + 88*T1^15*T2^10 + 75*T1^16*T2^10 + 86*T1^3*T2^11 - 
      296*T1^4*T2^11 - 1063*T1^5*T2^11 + 5113*T1^6*T2^11 - 4284*T1^7*T2^11 - 
      6566*T1^8*T2^11 + 14083*T1^9*T2^11 - 11944*T1^10*T2^11 + 
      8962*T1^11*T2^11 + 1450*T1^12*T2^11 - 5367*T1^13*T2^11 + 
      1895*T1^14*T2^11 + 248*T1^15*T2^11 - 129*T1^16*T2^11 - 49*T1^4*T2^12 + 
      392*T1^5*T2^12 - 537*T1^6*T2^12 - 2367*T1^7*T2^12 + 7830*T1^8*T2^12 - 
      8202*T1^9*T2^12 + 2502*T1^10*T2^12 + 1450*T1^11*T2^12 - 
      6842*T1^12*T2^12 + 5717*T1^13*T2^12 - 1141*T1^14*T2^12 - 
      488*T1^15*T2^12 + 147*T1^16*T2^12 - 200*T1^6*T2^13 + 1168*T1^7*T2^13 - 
      1809*T1^8*T2^13 - 530*T1^9*T2^13 + 4261*T1^10*T2^13 - 
      5367*T1^11*T2^13 + 5717*T1^12*T2^13 - 2733*T1^13*T2^13 - 
      257*T1^14*T2^13 + 632*T1^15*T2^13 - 129*T1^16*T2^13 + 25*T1^6*T2^14 - 
      72*T1^7*T2^14 - 317*T1^8*T2^14 + 1493*T1^9*T2^14 - 2341*T1^10*T2^14 + 
      1895*T1^11*T2^14 - 1141*T1^12*T2^14 - 257*T1^13*T2^14 + 
      883*T1^14*T2^14 - 472*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 208*T1^9*T2^15 + 88*T1^10*T2^15 + 248*T1^11*T2^15 - 
      488*T1^12*T2^15 + 632*T1^13*T2^15 - 472*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      129*T1^11*T2^16 + 147*T1^12*T2^16 - 129*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 674] -> 
  {(1 - 8*T + 25*T^2 - 47*T^3 + 59*T^4 - 47*T^5 + 25*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 188*T1^3 - 236*T1^4 + 188*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 608*T1^2*T2 - 904*T1^3*T2 + 
     760*T1^4*T2 - 88*T1^5*T2 - 328*T1^6*T2 + 344*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 608*T1*T2^2 - 1009*T1^2*T2^2 + 280*T1^3*T2^2 + 
     1915*T1^4*T2^2 - 4331*T1^5*T2^2 + 3615*T1^6*T2^2 - 1670*T1^7*T2^2 + 
     191*T1^8*T2^2 + 208*T1^9*T2^2 - 50*T1^10*T2^2 + 188*T2^3 - 904*T1*T2^3 + 
     280*T1^2*T2^3 + 3071*T1^3*T2^3 - 7575*T1^4*T2^3 + 8994*T1^5*T2^3 - 
     2054*T1^6*T2^3 - 2622*T1^7*T2^3 + 3239*T1^8*T2^3 - 1445*T1^9*T2^3 + 
     24*T1^10*T2^3 + 47*T1^11*T2^3 - 236*T2^4 + 760*T1*T2^4 + 
     1915*T1^2*T2^4 - 7575*T1^3*T2^4 + 10945*T1^4*T2^4 - 6036*T1^5*T2^4 - 
     9227*T1^6*T2^4 + 10328*T1^7*T2^4 - 4695*T1^8*T2^4 - 619*T1^9*T2^4 + 
     1799*T1^10*T2^4 - 376*T1^11*T2^4 + 188*T2^5 - 88*T1*T2^5 - 
     4331*T1^2*T2^5 + 8994*T1^3*T2^5 - 6036*T1^4*T2^5 - 6844*T1^5*T2^5 + 
     22324*T1^6*T2^5 - 8029*T1^7*T2^5 - 5836*T1^8*T2^5 + 9292*T1^9*T2^5 - 
     4786*T1^10*T2^5 - 53*T1^11*T2^5 + 376*T1^12*T2^5 - 47*T1^13*T2^5 - 
     100*T2^6 - 328*T1*T2^6 + 3615*T1^2*T2^6 - 2054*T1^3*T2^6 - 
     9227*T1^4*T2^6 + 22324*T1^5*T2^6 - 22196*T1^6*T2^6 - 11454*T1^7*T2^6 + 
     23048*T1^8*T2^6 - 12544*T1^9*T2^6 - 265*T1^10*T2^6 + 4896*T1^11*T2^6 - 
     1717*T1^12*T2^6 - 24*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     344*T1*T2^7 - 1670*T1^2*T2^7 - 2622*T1^3*T2^7 + 10328*T1^4*T2^7 - 
     8029*T1^5*T2^7 - 11454*T1^6*T2^7 + 42712*T1^7*T2^7 - 29922*T1^8*T2^7 - 
     1373*T1^9*T2^7 + 13294*T1^10*T2^7 - 9144*T1^11*T2^7 + 437*T1^12*T2^7 + 
     1405*T1^13*T2^7 - 208*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 191*T1^2*T2^8 + 3239*T1^3*T2^8 - 4695*T1^4*T2^8 - 
     5836*T1^5*T2^8 + 23048*T1^6*T2^8 - 29922*T1^7*T2^8 - 2340*T1^8*T2^8 + 
     31942*T1^9*T2^8 - 22102*T1^10*T2^8 + 4976*T1^11*T2^8 + 4885*T1^12*T2^8 - 
     3119*T1^13*T2^8 - 181*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 208*T1^2*T2^9 - 1445*T1^3*T2^9 - 619*T1^4*T2^9 + 
     9292*T1^5*T2^9 - 12544*T1^6*T2^9 - 1373*T1^7*T2^9 + 31942*T1^8*T2^9 - 
     40692*T1^9*T2^9 + 8708*T1^10*T2^9 + 8779*T1^11*T2^9 - 10180*T1^12*T2^9 + 
     2440*T1^13*T2^9 + 1630*T1^14*T2^9 - 344*T1^15*T2^9 - 32*T1^16*T2^9 - 
     50*T1^2*T2^10 + 24*T1^3*T2^10 + 1799*T1^4*T2^10 - 4786*T1^5*T2^10 - 
     265*T1^6*T2^10 + 13294*T1^7*T2^10 - 22102*T1^8*T2^10 + 8708*T1^9*T2^10 + 
     23142*T1^10*T2^10 - 21574*T1^11*T2^10 + 8697*T1^12*T2^10 + 
     2164*T1^13*T2^10 - 3533*T1^14*T2^10 + 328*T1^15*T2^10 + 
     100*T1^16*T2^10 + 47*T1^3*T2^11 - 376*T1^4*T2^11 - 53*T1^5*T2^11 + 
     4896*T1^6*T2^11 - 9144*T1^7*T2^11 + 4976*T1^8*T2^11 + 8779*T1^9*T2^11 - 
     21574*T1^10*T2^11 + 5984*T1^11*T2^11 + 6184*T1^12*T2^11 - 
     8884*T1^13*T2^11 + 4225*T1^14*T2^11 + 88*T1^15*T2^11 - 188*T1^16*T2^11 + 
     376*T1^5*T2^12 - 1717*T1^6*T2^12 + 437*T1^7*T2^12 + 4885*T1^8*T2^12 - 
     10180*T1^9*T2^12 + 8697*T1^10*T2^12 + 6184*T1^11*T2^12 - 
     10755*T1^12*T2^12 + 7393*T1^13*T2^12 - 1833*T1^14*T2^12 - 
     760*T1^15*T2^12 + 236*T1^16*T2^12 - 47*T1^5*T2^13 - 24*T1^6*T2^13 + 
     1405*T1^7*T2^13 - 3119*T1^8*T2^13 + 2440*T1^9*T2^13 + 2164*T1^10*T2^13 - 
     8884*T1^11*T2^13 + 7393*T1^12*T2^13 - 2951*T1^13*T2^13 - 
     320*T1^14*T2^13 + 904*T1^15*T2^13 - 188*T1^16*T2^13 + 50*T1^6*T2^14 - 
     208*T1^7*T2^14 - 181*T1^8*T2^14 + 1630*T1^9*T2^14 - 3533*T1^10*T2^14 + 
     4225*T1^11*T2^14 - 1833*T1^12*T2^14 - 320*T1^13*T2^14 + 
     1019*T1^14*T2^14 - 608*T1^15*T2^14 + 100*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 344*T1^9*T2^15 + 328*T1^10*T2^15 + 88*T1^11*T2^15 - 
     760*T1^12*T2^15 + 904*T1^13*T2^15 - 608*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 100*T1^10*T2^16 - 
     188*T1^11*T2^16 + 236*T1^12*T2^16 - 188*T1^13*T2^16 + 100*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 675] -> 
  {(2 - 10*T + 26*T^2 - 42*T^3 + 49*T^4 - 42*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-49 + 244*T1 - 632*T1^2 + 1017*T1^3 - 1185*T1^4 + 1017*T1^5 - 
     632*T1^6 + 244*T1^7 - 49*T1^8 + 244*T2 - 1012*T1*T2 + 2136*T1^2*T2 - 
     2444*T1^3*T2 + 1680*T1^4*T2 - 140*T1^5*T2 - 1084*T1^6*T2 + 
     1416*T1^7*T2 - 772*T1^8*T2 + 204*T1^9*T2 - 632*T2^2 + 2136*T1*T2^2 - 
     3521*T1^2*T2^2 + 2095*T1^3*T2^2 + 455*T1^4*T2^2 - 2839*T1^5*T2^2 + 
     2847*T1^6*T2^2 - 1233*T1^7*T2^2 - 1025*T1^8*T2^2 + 1096*T1^9*T2^2 - 
     424*T1^10*T2^2 + 1017*T2^3 - 2444*T1*T2^3 + 2095*T1^2*T2^3 + 
     2996*T1^3*T2^3 - 5684*T1^4*T2^3 + 5537*T1^5*T2^3 - 987*T1^6*T2^3 - 
     2872*T1^7*T2^3 + 4724*T1^8*T2^3 - 1337*T1^9*T2^3 - 444*T1^10*T2^3 + 
     513*T1^11*T2^3 - 1185*T2^4 + 1680*T1*T2^4 + 455*T1^2*T2^4 - 
     5684*T1^3*T2^4 + 1451*T1^4*T2^4 + 4889*T1^5*T2^4 - 12281*T1^6*T2^4 + 
     11665*T1^7*T2^4 - 7005*T1^8*T2^4 - 1988*T1^9*T2^4 + 2247*T1^10*T2^4 - 
     560*T1^11*T2^4 - 401*T1^12*T2^4 + 1017*T2^5 - 140*T1*T2^5 - 
     2839*T1^2*T2^5 + 5537*T1^3*T2^5 + 4889*T1^4*T2^5 - 10008*T1^5*T2^5 + 
     11687*T1^6*T2^5 - 2845*T1^7*T2^5 - 4002*T1^8*T2^5 + 9677*T1^9*T2^5 - 
     1939*T1^10*T2^5 - 1243*T1^11*T2^5 + 1120*T1^12*T2^5 + 177*T1^13*T2^5 - 
     632*T2^6 - 1084*T1*T2^6 + 2847*T1^2*T2^6 - 987*T1^3*T2^6 - 
     12281*T1^4*T2^6 + 11687*T1^5*T2^6 - 7813*T1^6*T2^6 - 2827*T1^7*T2^6 + 
     4519*T1^8*T2^6 - 3993*T1^9*T2^6 - 6401*T1^10*T2^6 + 4109*T1^11*T2^6 - 
     745*T1^12*T2^6 - 844*T1^13*T2^6 - 8*T1^14*T2^6 + 244*T2^7 + 
     1416*T1*T2^7 - 1233*T1^2*T2^7 - 2872*T1^3*T2^7 + 11665*T1^4*T2^7 - 
     2845*T1^5*T2^7 - 2827*T1^6*T2^7 + 7926*T1^7*T2^7 - 1704*T1^8*T2^7 - 
     2607*T1^9*T2^7 + 9391*T1^10*T2^7 - 1075*T1^11*T2^7 - 2148*T1^12*T2^7 + 
     1575*T1^13*T2^7 + 216*T1^14*T2^7 - 36*T1^15*T2^7 - 49*T2^8 - 
     772*T1*T2^8 - 1025*T1^2*T2^8 + 4724*T1^3*T2^8 - 7005*T1^4*T2^8 - 
     4002*T1^5*T2^8 + 4519*T1^6*T2^8 - 1704*T1^7*T2^8 - 6492*T1^8*T2^8 + 
     6992*T1^9*T2^8 - 5657*T1^10*T2^8 - 4842*T1^11*T2^8 + 4387*T1^12*T2^8 - 
     1004*T1^13*T2^8 - 785*T1^14*T2^8 + 108*T1^15*T2^8 + 15*T1^16*T2^8 + 
     204*T1*T2^9 + 1096*T1^2*T2^9 - 1337*T1^3*T2^9 - 1988*T1^4*T2^9 + 
     9677*T1^5*T2^9 - 3993*T1^6*T2^9 - 2607*T1^7*T2^9 + 6992*T1^8*T2^9 - 
     2638*T1^9*T2^9 - 2387*T1^10*T2^9 + 8243*T1^11*T2^9 - 3063*T1^12*T2^9 - 
     1264*T1^13*T2^9 + 1471*T1^14*T2^9 - 104*T1^15*T2^9 - 76*T1^16*T2^9 - 
     424*T1^2*T2^10 - 444*T1^3*T2^10 + 2247*T1^4*T2^10 - 1939*T1^5*T2^10 - 
     6401*T1^6*T2^10 + 9391*T1^7*T2^10 - 5657*T1^8*T2^10 - 2387*T1^9*T2^10 + 
     6675*T1^10*T2^10 - 6289*T1^11*T2^10 - 521*T1^12*T2^10 + 
     3157*T1^13*T2^10 - 1345*T1^14*T2^10 - 204*T1^15*T2^10 + 
     200*T1^16*T2^10 + 513*T1^3*T2^11 - 560*T1^4*T2^11 - 1243*T1^5*T2^11 + 
     4109*T1^6*T2^11 - 1075*T1^7*T2^11 - 4842*T1^8*T2^11 + 8243*T1^9*T2^11 - 
     6289*T1^10*T2^11 + 1164*T1^11*T2^11 + 3713*T1^12*T2^11 - 
     3367*T1^13*T2^11 + 353*T1^14*T2^11 + 700*T1^15*T2^11 - 327*T1^16*T2^11 - 
     401*T1^4*T2^12 + 1120*T1^5*T2^12 - 745*T1^6*T2^12 - 2148*T1^7*T2^12 + 
     4387*T1^8*T2^12 - 3063*T1^9*T2^12 - 521*T1^10*T2^12 + 3713*T1^11*T2^12 - 
     4069*T1^12*T2^12 + 1548*T1^13*T2^12 + 1047*T1^14*T2^12 - 
     1120*T1^15*T2^12 + 383*T1^16*T2^12 + 177*T1^5*T2^13 - 844*T1^6*T2^13 + 
     1575*T1^7*T2^13 - 1004*T1^8*T2^13 - 1264*T1^9*T2^13 + 3157*T1^10*T2^13 - 
     3367*T1^11*T2^13 + 1548*T1^12*T2^13 + 724*T1^13*T2^13 - 
     1857*T1^14*T2^13 + 1156*T1^15*T2^13 - 327*T1^16*T2^13 - 8*T1^6*T2^14 + 
     216*T1^7*T2^14 - 785*T1^8*T2^14 + 1471*T1^9*T2^14 - 1345*T1^10*T2^14 + 
     353*T1^11*T2^14 + 1047*T1^12*T2^14 - 1857*T1^13*T2^14 + 
     1711*T1^14*T2^14 - 824*T1^15*T2^14 + 200*T1^16*T2^14 - 36*T1^7*T2^15 + 
     108*T1^8*T2^15 - 104*T1^9*T2^15 - 204*T1^10*T2^15 + 700*T1^11*T2^15 - 
     1120*T1^12*T2^15 + 1156*T1^13*T2^15 - 824*T1^14*T2^15 + 
     348*T1^15*T2^15 - 76*T1^16*T2^15 + 15*T1^8*T2^16 - 76*T1^9*T2^16 + 
     200*T1^10*T2^16 - 327*T1^11*T2^16 + 383*T1^12*T2^16 - 327*T1^13*T2^16 + 
     200*T1^14*T2^16 - 76*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 676] -> 
  {(3 - 14*T + 32*T^2 - 41*T^3 + 32*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (-117 + 544*T1 - 1240*T1^2 + 1585*T1^3 - 1240*T1^4 + 544*T1^5 - 117*T1^6 + 
     544*T2 - 2112*T1*T2 + 3826*T1^2*T2 - 2950*T1^3*T2 + 116*T1^4*T2 + 
     1894*T1^5*T2 - 1398*T1^6*T2 + 418*T1^7*T2 - 1240*T2^2 + 3826*T1*T2^2 - 
     4773*T1^2*T2^2 - 731*T1^3*T2^2 + 6213*T1^4*T2^2 - 5915*T1^5*T2^2 + 
     795*T1^6*T2^2 + 1138*T1^7*T2^2 - 664*T1^8*T2^2 + 1585*T2^3 - 
     2950*T1*T2^3 - 731*T1^2*T2^3 + 11685*T1^3*T2^3 - 12854*T1^4*T2^3 + 
     2876*T1^5*T2^3 + 7313*T1^6*T2^3 - 4923*T1^7*T2^3 + 872*T1^8*T2^3 + 
     478*T1^9*T2^3 - 1240*T2^4 + 116*T1*T2^4 + 6213*T1^2*T2^4 - 
     12854*T1^3*T2^4 - 580*T1^4*T2^4 + 17914*T1^5*T2^4 - 20440*T1^6*T2^4 + 
     4694*T1^7*T2^4 + 2429*T1^8*T2^4 - 1816*T1^9*T2^4 - 88*T1^10*T2^4 + 
     544*T2^5 + 1894*T1*T2^5 - 5915*T1^2*T2^5 + 2876*T1^3*T2^5 + 
     17914*T1^4*T2^5 - 25924*T1^5*T2^5 + 11598*T1^6*T2^5 + 9978*T1^7*T2^5 - 
     9218*T1^8*T2^5 + 2245*T1^9*T2^5 + 802*T1^10*T2^5 - 86*T1^11*T2^5 - 
     117*T2^6 - 1398*T1*T2^6 + 795*T1^2*T2^6 + 7313*T1^3*T2^6 - 
     20440*T1^4*T2^6 + 11598*T1^5*T2^6 + 10392*T1^6*T2^6 - 21718*T1^7*T2^6 + 
     8536*T1^8*T2^6 + 1515*T1^9*T2^6 - 2309*T1^10*T2^6 + 198*T1^11*T2^6 + 
     45*T1^12*T2^6 + 418*T1*T2^7 + 1138*T1^2*T2^7 - 4923*T1^3*T2^7 + 
     4694*T1^4*T2^7 + 9978*T1^5*T2^7 - 21718*T1^6*T2^7 + 15804*T1^7*T2^7 + 
     2042*T1^8*T2^7 - 7400*T1^9*T2^7 + 3237*T1^10*T2^7 + 46*T1^11*T2^7 - 
     212*T1^12*T2^7 - 664*T1^2*T2^8 + 872*T1^3*T2^8 + 2429*T1^4*T2^8 - 
     9218*T1^5*T2^8 + 8536*T1^6*T2^8 + 2042*T1^7*T2^8 - 11324*T1^8*T2^8 + 
     8330*T1^9*T2^8 - 1355*T1^10*T2^8 - 1060*T1^11*T2^8 + 488*T1^12*T2^8 + 
     478*T1^3*T2^9 - 1816*T1^4*T2^9 + 2245*T1^5*T2^9 + 1515*T1^6*T2^9 - 
     7400*T1^7*T2^9 + 8330*T1^8*T2^9 - 2857*T1^9*T2^9 - 1947*T1^10*T2^9 + 
     2006*T1^11*T2^9 - 629*T1^12*T2^9 - 88*T1^4*T2^10 + 802*T1^5*T2^10 - 
     2309*T1^6*T2^10 + 3237*T1^7*T2^10 - 1355*T1^8*T2^10 - 1947*T1^9*T2^10 + 
     3259*T1^10*T2^10 - 1886*T1^11*T2^10 + 488*T1^12*T2^10 - 86*T1^5*T2^11 + 
     198*T1^6*T2^11 + 46*T1^7*T2^11 - 1060*T1^8*T2^11 + 2006*T1^9*T2^11 - 
     1886*T1^10*T2^11 + 912*T1^11*T2^11 - 212*T1^12*T2^11 + 45*T1^6*T2^12 - 
     212*T1^7*T2^12 + 488*T1^8*T2^12 - 629*T1^9*T2^12 + 488*T1^10*T2^12 - 
     212*T1^11*T2^12 + 45*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 677] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-272 + 1220*T1 - 2708*T1^2 + 3448*T1^3 - 2708*T1^4 + 1220*T1^5 - 
     272*T1^6 + 1220*T2 - 4542*T1*T2 + 7974*T1^2*T2 - 6202*T1^3*T2 + 
     350*T1^4*T2 + 3798*T1^5*T2 - 2958*T1^6*T2 + 932*T1^7*T2 - 2708*T2^2 + 
     7974*T1*T2^2 - 9655*T1^2*T2^2 - 900*T1^3*T2^2 + 11881*T1^4*T2^2 - 
     11460*T1^5*T2^2 + 1865*T1^6*T2^2 + 2214*T1^7*T2^2 - 1428*T1^8*T2^2 + 
     3448*T2^3 - 6202*T1*T2^3 - 900*T1^2*T2^3 + 21082*T1^3*T2^3 - 
     24226*T1^4*T2^3 + 5798*T1^5*T2^3 + 12982*T1^6*T2^3 - 9540*T1^7*T2^3 + 
     1934*T1^8*T2^3 + 1000*T1^9*T2^3 - 2708*T2^4 + 350*T1*T2^4 + 
     11881*T1^2*T2^4 - 24226*T1^3*T2^4 + 1414*T1^4*T2^4 + 30802*T1^5*T2^4 - 
     36134*T1^6*T2^4 + 9230*T1^7*T2^4 + 4433*T1^8*T2^4 - 3826*T1^9*T2^4 - 
     148*T1^10*T2^4 + 1220*T2^5 + 3798*T1*T2^5 - 11460*T1^2*T2^5 + 
     5798*T1^3*T2^5 + 30802*T1^4*T2^5 - 46860*T1^5*T2^5 + 21420*T1^6*T2^5 + 
     16882*T1^7*T2^5 - 17362*T1^8*T2^5 + 4860*T1^9*T2^5 + 1638*T1^10*T2^5 - 
     220*T1^11*T2^5 - 272*T2^6 - 2958*T1*T2^6 + 1865*T1^2*T2^6 + 
     12982*T1^3*T2^6 - 36134*T1^4*T2^6 + 21420*T1^5*T2^6 + 18684*T1^6*T2^6 - 
     39252*T1^7*T2^6 + 16810*T1^8*T2^6 + 2326*T1^9*T2^6 - 4823*T1^10*T2^6 + 
     498*T1^11*T2^6 + 112*T1^12*T2^6 + 932*T1*T2^7 + 2214*T1^2*T2^7 - 
     9540*T1^3*T2^7 + 9230*T1^4*T2^7 + 16882*T1^5*T2^7 - 39252*T1^6*T2^7 + 
     29028*T1^7*T2^7 + 2962*T1^8*T2^7 - 13930*T1^9*T2^7 + 6780*T1^10*T2^7 + 
     54*T1^11*T2^7 - 508*T1^12*T2^7 - 1428*T1^2*T2^8 + 1934*T1^3*T2^8 + 
     4433*T1^4*T2^8 - 17362*T1^5*T2^8 + 16810*T1^6*T2^8 + 2962*T1^7*T2^8 - 
     20738*T1^8*T2^8 + 16094*T1^9*T2^8 - 3015*T1^10*T2^8 - 2242*T1^11*T2^8 + 
     1132*T1^12*T2^8 + 1000*T1^3*T2^9 - 3826*T1^4*T2^9 + 4860*T1^5*T2^9 + 
     2326*T1^6*T2^9 - 13930*T1^7*T2^9 + 16094*T1^8*T2^9 - 5774*T1^9*T2^9 - 
     3780*T1^10*T2^9 + 4310*T1^11*T2^9 - 1448*T1^12*T2^9 - 148*T1^4*T2^10 + 
     1638*T1^5*T2^10 - 4823*T1^6*T2^10 + 6780*T1^7*T2^10 - 3015*T1^8*T2^10 - 
     3780*T1^9*T2^10 + 6697*T1^10*T2^10 - 4122*T1^11*T2^10 + 
     1132*T1^12*T2^10 - 220*T1^5*T2^11 + 498*T1^6*T2^11 + 54*T1^7*T2^11 - 
     2242*T1^8*T2^11 + 4310*T1^9*T2^11 - 4122*T1^10*T2^11 + 
     2082*T1^11*T2^11 - 508*T1^12*T2^11 + 112*T1^6*T2^12 - 508*T1^7*T2^12 + 
     1132*T1^8*T2^12 - 1448*T1^9*T2^12 + 1132*T1^10*T2^12 - 508*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 678] -> 
  {(4 - 19*T + 41*T^2 - 51*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (-256 + 1212*T1 - 2600*T1^2 + 3224*T1^3 - 2600*T1^4 + 1212*T1^5 - 
     256*T1^6 + 1212*T2 - 4834*T1*T2 + 8029*T1^2*T2 - 6081*T1^3*T2 + 
     911*T1^4*T2 + 3469*T1^5*T2 - 3086*T1^6*T2 + 908*T1^7*T2 - 2600*T2^2 + 
     8029*T1*T2^2 - 7342*T1^2*T2^2 - 4946*T1^3*T2^2 + 14998*T1^4*T2^2 - 
     15442*T1^5*T2^2 + 4794*T1^6*T2^2 + 1797*T1^7*T2^2 - 1288*T1^8*T2^2 + 
     3224*T2^3 - 6081*T1*T2^3 - 4946*T1^2*T2^3 + 25427*T1^3*T2^3 - 
     25727*T1^4*T2^3 + 9221*T1^5*T2^3 + 12347*T1^6*T2^3 - 12121*T1^7*T2^3 + 
     2431*T1^8*T2^3 + 776*T1^9*T2^3 - 2600*T2^4 + 911*T1*T2^4 + 
     14998*T1^2*T2^4 - 25727*T1^3*T2^4 + 2233*T1^4*T2^4 + 25039*T1^5*T2^4 - 
     35511*T1^6*T2^4 + 12523*T1^7*T2^4 + 5072*T1^8*T2^4 - 3801*T1^9*T2^4 + 
     24*T1^10*T2^4 + 1212*T2^5 + 3469*T1*T2^5 - 15442*T1^2*T2^5 + 
     9221*T1^3*T2^5 + 25039*T1^4*T2^5 - 38464*T1^5*T2^5 + 22428*T1^6*T2^5 + 
     12534*T1^7*T2^5 - 19123*T1^8*T2^5 + 5017*T1^9*T2^5 + 1341*T1^10*T2^5 - 
     308*T1^11*T2^5 - 256*T2^6 - 3086*T1*T2^6 + 4794*T1^2*T2^6 + 
     12347*T1^3*T2^6 - 35511*T1^4*T2^6 + 22428*T1^5*T2^6 + 10752*T1^6*T2^6 - 
     33552*T1^7*T2^6 + 19175*T1^8*T2^6 + 2777*T1^9*T2^6 - 5258*T1^10*T2^6 + 
     866*T1^11*T2^6 + 128*T1^12*T2^6 + 908*T1*T2^7 + 1797*T1^2*T2^7 - 
     12121*T1^3*T2^7 + 12523*T1^4*T2^7 + 12534*T1^5*T2^7 - 33552*T1^6*T2^7 + 
     27340*T1^7*T2^7 + 29*T1^8*T2^7 - 15821*T1^9*T2^7 + 8338*T1^10*T2^7 - 
     331*T1^11*T2^7 - 612*T1^12*T2^7 - 1288*T1^2*T2^8 + 2431*T1^3*T2^8 + 
     5072*T1^4*T2^8 - 19123*T1^5*T2^8 + 19175*T1^6*T2^8 + 29*T1^7*T2^8 - 
     18569*T1^8*T2^8 + 19127*T1^9*T2^8 - 4854*T1^10*T2^8 - 2281*T1^11*T2^8 + 
     1336*T1^12*T2^8 + 776*T1^3*T2^9 - 3801*T1^4*T2^9 + 5017*T1^5*T2^9 + 
     2777*T1^6*T2^9 - 15821*T1^7*T2^9 + 19127*T1^8*T2^9 - 10303*T1^9*T2^9 - 
     2158*T1^10*T2^9 + 4711*T1^11*T2^9 - 1672*T1^12*T2^9 + 24*T1^4*T2^10 + 
     1341*T1^5*T2^10 - 5258*T1^6*T2^10 + 8338*T1^7*T2^10 - 4854*T1^8*T2^10 - 
     2158*T1^9*T2^10 + 6878*T1^10*T2^10 - 4891*T1^11*T2^10 + 
     1336*T1^12*T2^10 - 308*T1^5*T2^11 + 866*T1^6*T2^11 - 331*T1^7*T2^11 - 
     2281*T1^8*T2^11 + 4711*T1^9*T2^11 - 4891*T1^10*T2^11 + 
     2614*T1^11*T2^11 - 612*T1^12*T2^11 + 128*T1^6*T2^12 - 612*T1^7*T2^12 + 
     1336*T1^8*T2^12 - 1672*T1^9*T2^12 + 1336*T1^10*T2^12 - 612*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 679] -> {((1 - T + T^2)*(7 - 13*T + 7*T^2))/T^2, 
   -((1561 - 4404*T1 + 5929*T1^2 - 4404*T1^3 + 1561*T1^4 - 4404*T2 + 
      9048*T1*T2 - 7141*T1^2*T2 - 561*T1^3*T2 + 5268*T1^4*T2 - 3424*T1^5*T2 + 
      5929*T2^2 - 7141*T1*T2^2 - 1631*T1^2*T2^2 + 11223*T1^3*T2^2 - 
      9191*T1^4*T2^2 + 419*T1^5*T2^2 + 3283*T1^6*T2^2 - 4404*T2^3 - 
      561*T1*T2^3 + 11223*T1^2*T2^3 - 12948*T1^3*T2^3 + 1092*T1^4*T2^3 + 
      7983*T1^5*T2^3 - 5181*T1^6*T2^3 - 1464*T1^7*T2^3 + 1561*T2^4 + 
      5268*T1*T2^4 - 9191*T1^2*T2^4 + 1092*T1^3*T2^4 + 11196*T1^4*T2^4 - 
      10988*T1^5*T2^4 + 1517*T1^6*T2^4 + 3588*T1^7*T2^4 + 189*T1^8*T2^4 - 
      3424*T1*T2^5 + 419*T1^2*T2^5 + 7983*T1^3*T2^5 - 10988*T1^4*T2^5 + 
      3052*T1^5*T2^5 + 4743*T1^6*T2^5 - 4201*T1^7*T2^5 - 484*T1^8*T2^5 + 
      3283*T1^2*T2^6 - 5181*T1^3*T2^6 + 1517*T1^4*T2^6 + 4743*T1^5*T2^6 - 
      6043*T1^6*T2^6 + 2379*T1^7*T2^6 + 637*T1^8*T2^6 - 1464*T1^3*T2^7 + 
      3588*T1^4*T2^7 - 4201*T1^5*T2^7 + 2379*T1^6*T2^7 - 192*T1^7*T2^7 - 
      484*T1^8*T2^7 + 189*T1^4*T2^8 - 484*T1^5*T2^8 + 637*T1^6*T2^8 - 
      484*T1^7*T2^8 + 189*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 680] -> 
  {-((2 - 10*T + 24*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 488*T1^2 + 813*T1^3 - 955*T1^4 + 813*T1^5 - 
      488*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1616*T1^2*T2 - 
      2100*T1^3*T2 + 1508*T1^4*T2 - 232*T1^5*T2 - 820*T1^6*T2 + 936*T1^7*T2 - 
      612*T1^8*T2 + 164*T1^9*T2 - 488*T2^2 + 1616*T1*T2^2 - 2053*T1^2*T2^2 + 
      1439*T1^3*T2^2 + 1311*T1^4*T2^2 - 3505*T1^5*T2^2 + 3519*T1^6*T2^2 - 
      1441*T1^7*T2^2 + 59*T1^8*T2^2 + 656*T1^9*T2^2 - 296*T1^10*T2^2 + 
      813*T2^3 - 2100*T1*T2^3 + 1439*T1^2*T2^3 + 150*T1^3*T2^3 - 
      3994*T1^4*T2^3 + 4205*T1^5*T2^3 - 1315*T1^6*T2^3 - 2314*T1^7*T2^3 + 
      2070*T1^8*T2^3 - 1441*T1^9*T2^3 - 180*T1^10*T2^3 + 333*T1^11*T2^3 - 
      955*T2^4 + 1508*T1*T2^4 + 1311*T1^2*T2^4 - 3994*T1^3*T2^4 + 
      8558*T1^4*T2^4 - 5770*T1^5*T2^4 + 1358*T1^6*T2^4 + 1350*T1^7*T2^4 + 
      1478*T1^8*T2^4 - 1434*T1^9*T2^4 + 2335*T1^10*T2^4 - 652*T1^11*T2^4 - 
      203*T1^12*T2^4 + 813*T2^5 - 232*T1*T2^5 - 3505*T1^2*T2^5 + 
      4205*T1^3*T2^5 - 5770*T1^4*T2^5 - 1598*T1^5*T2^5 + 4450*T1^6*T2^5 - 
      2430*T1^7*T2^5 - 3728*T1^8*T2^5 + 2010*T1^9*T2^5 - 2115*T1^10*T2^5 - 
      925*T1^11*T2^5 + 948*T1^12*T2^5 + 13*T1^13*T2^5 - 488*T2^6 - 
      820*T1*T2^6 + 3519*T1^2*T2^6 - 1315*T1^3*T2^6 + 1358*T1^4*T2^6 + 
      4450*T1^5*T2^6 + 472*T1^6*T2^6 - 7284*T1^7*T2^6 + 10696*T1^8*T2^6 - 
      2750*T1^9*T2^6 + 526*T1^10*T2^6 + 3005*T1^11*T2^6 - 1057*T1^12*T2^6 - 
      500*T1^13*T2^6 + 88*T1^14*T2^6 + 204*T2^7 + 936*T1*T2^7 - 
      1441*T1^2*T2^7 - 2314*T1^3*T2^7 + 1350*T1^4*T2^7 - 2430*T1^5*T2^7 - 
      7284*T1^6*T2^7 + 11424*T1^7*T2^7 - 6936*T1^8*T2^7 - 4084*T1^9*T2^7 + 
      3810*T1^10*T2^7 - 3790*T1^11*T2^7 - 474*T1^12*T2^7 + 1439*T1^13*T2^7 - 
      64*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 612*T1*T2^8 + 59*T1^2*T2^8 + 
      2070*T1^3*T2^8 + 1478*T1^4*T2^8 - 3728*T1^5*T2^8 + 10696*T1^6*T2^8 - 
      6936*T1^7*T2^8 - 3336*T1^8*T2^8 + 10424*T1^9*T2^8 - 4856*T1^10*T2^8 + 
      1432*T1^11*T2^8 + 2278*T1^12*T2^8 - 1450*T1^13*T2^8 - 565*T1^14*T2^8 + 
      268*T1^15*T2^8 + 23*T1^16*T2^8 + 164*T1*T2^9 + 656*T1^2*T2^9 - 
      1441*T1^3*T2^9 - 1434*T1^4*T2^9 + 2010*T1^5*T2^9 - 2750*T1^6*T2^9 - 
      4084*T1^7*T2^9 + 10424*T1^8*T2^9 - 7936*T1^9*T2^9 - 884*T1^10*T2^9 + 
      3490*T1^11*T2^9 - 3130*T1^12*T2^9 + 406*T1^13*T2^9 + 1439*T1^14*T2^9 - 
      344*T1^15*T2^9 - 116*T1^16*T2^9 - 296*T1^2*T2^10 - 180*T1^3*T2^10 + 
      2335*T1^4*T2^10 - 2115*T1^5*T2^10 + 526*T1^6*T2^10 + 3810*T1^7*T2^10 - 
      4856*T1^8*T2^10 - 884*T1^9*T2^10 + 5368*T1^10*T2^10 - 
      3390*T1^11*T2^10 - 306*T1^12*T2^10 + 2205*T1^13*T2^10 - 
      2241*T1^14*T2^10 + 140*T1^15*T2^10 + 280*T1^16*T2^10 + 333*T1^3*T2^11 - 
      652*T1^4*T2^11 - 925*T1^5*T2^11 + 3005*T1^6*T2^11 - 3790*T1^7*T2^11 + 
      1432*T1^8*T2^11 + 3490*T1^9*T2^11 - 3390*T1^10*T2^11 - 
      698*T1^11*T2^11 + 3990*T1^12*T2^11 - 3315*T1^13*T2^11 + 
      1655*T1^14*T2^11 + 528*T1^15*T2^11 - 467*T1^16*T2^11 - 203*T1^4*T2^12 + 
      948*T1^5*T2^12 - 1057*T1^6*T2^12 - 474*T1^7*T2^12 + 2278*T1^8*T2^12 - 
      3130*T1^9*T2^12 - 306*T1^10*T2^12 + 3990*T1^11*T2^12 - 
      4802*T1^12*T2^12 + 2086*T1^13*T2^12 - 33*T1^14*T2^12 - 
      1212*T1^15*T2^12 + 549*T1^16*T2^12 + 13*T1^5*T2^13 - 500*T1^6*T2^13 + 
      1439*T1^7*T2^13 - 1450*T1^8*T2^13 + 406*T1^9*T2^13 + 2205*T1^10*T2^13 - 
      3315*T1^11*T2^13 + 2086*T1^12*T2^13 + 470*T1^13*T2^13 - 
      1441*T1^14*T2^13 + 1420*T1^15*T2^13 - 467*T1^16*T2^13 + 88*T1^6*T2^14 - 
      64*T1^7*T2^14 - 565*T1^8*T2^14 + 1439*T1^9*T2^14 - 2241*T1^10*T2^14 + 
      1655*T1^11*T2^14 - 33*T1^12*T2^14 - 1441*T1^13*T2^14 + 
      1547*T1^14*T2^14 - 1024*T1^15*T2^14 + 280*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 344*T1^9*T2^15 + 140*T1^10*T2^15 + 528*T1^11*T2^15 - 
      1212*T1^12*T2^15 + 1420*T1^13*T2^15 - 1024*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      280*T1^10*T2^16 - 467*T1^11*T2^16 + 549*T1^12*T2^16 - 467*T1^13*T2^16 + 
      280*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 681] -> 
  {(1 - 7*T + 18*T^2 - 29*T^3 + 35*T^4 - 29*T^5 + 18*T^6 - 7*T^7 + T^8)/T^4, 
   (-6 + 42*T1 - 108*T1^2 + 174*T1^3 - 210*T1^4 + 174*T1^5 - 108*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 511*T1^2*T2 - 588*T1^3*T2 + 
     455*T1^4*T2 + 7*T1^5*T2 - 259*T1^6*T2 + 336*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 108*T2^2 + 511*T1*T2^2 - 306*T1^2*T2^2 - 761*T1^3*T2^2 + 
     2011*T1^4*T2^2 - 3330*T1^5*T2^2 + 2623*T1^6*T2^2 - 1553*T1^7*T2^2 + 
     306*T1^8*T2^2 + 259*T1^9*T2^2 - 72*T1^10*T2^2 + 174*T2^3 - 588*T1*T2^3 - 
     761*T1^2*T2^3 + 2863*T1^3*T2^3 - 3757*T1^4*T2^3 + 3944*T1^5*T2^3 - 
     31*T1^6*T2^3 - 1489*T1^7*T2^3 + 2323*T1^8*T2^3 - 1319*T1^9*T2^3 - 
     105*T1^10*T2^3 + 87*T1^11*T2^3 - 210*T2^4 + 455*T1*T2^4 + 
     2011*T1^2*T2^4 - 3757*T1^3*T2^4 + 2791*T1^4*T2^4 - 1681*T1^5*T2^4 - 
     3895*T1^6*T2^4 + 2141*T1^7*T2^4 - 1381*T1^8*T2^4 - 915*T1^9*T2^4 + 
     1689*T1^10*T2^4 - 119*T1^11*T2^4 - 70*T1^12*T2^4 + 174*T2^5 + 
     7*T1*T2^5 - 3330*T1^2*T2^5 + 3944*T1^3*T2^5 - 1681*T1^4*T2^5 + 
     918*T1^5*T2^5 + 4007*T1^6*T2^5 + 1519*T1^7*T2^5 - 1068*T1^8*T2^5 + 
     2244*T1^9*T2^5 - 905*T1^10*T2^5 - 1317*T1^11*T2^5 + 287*T1^12*T2^5 + 
     29*T1^13*T2^5 - 108*T2^6 - 259*T1*T2^6 + 2623*T1^2*T2^6 - 31*T1^3*T2^6 - 
     3895*T1^4*T2^6 + 4007*T1^5*T2^6 - 6922*T1^6*T2^6 - 1134*T1^7*T2^6 - 
     1530*T1^8*T2^6 + 763*T1^9*T2^6 - 2243*T1^10*T2^6 + 2633*T1^11*T2^6 + 
     143*T1^12*T2^6 - 203*T1^13*T2^6 + 42*T2^7 + 336*T1*T2^7 - 
     1553*T1^2*T2^7 - 1489*T1^3*T2^7 + 2141*T1^4*T2^7 + 1519*T1^5*T2^7 - 
     1134*T1^6*T2^7 + 7050*T1^7*T2^7 + 334*T1^8*T2^7 - 1183*T1^9*T2^7 + 
     2495*T1^10*T2^7 - 1372*T1^11*T2^7 - 1461*T1^12*T2^7 + 409*T1^13*T2^7 + 
     49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 306*T1^2*T2^8 + 
     2323*T1^3*T2^8 - 1381*T1^4*T2^8 - 1068*T1^5*T2^8 - 1530*T1^6*T2^8 + 
     334*T1^7*T2^8 - 7764*T1^8*T2^8 + 5358*T1^9*T2^8 - 2852*T1^10*T2^8 + 
     1927*T1^12*T2^8 - 7*T1^13*T2^8 - 312*T1^14*T2^8 + 35*T1^15*T2^8 + 
     2*T1^16*T2^8 + 35*T1*T2^9 + 259*T1^2*T2^9 - 1319*T1^3*T2^9 - 
     915*T1^4*T2^9 + 2244*T1^5*T2^9 + 763*T1^6*T2^9 - 1183*T1^7*T2^9 + 
     5358*T1^8*T2^9 - 1358*T1^9*T2^9 - 1232*T1^10*T2^9 + 1739*T1^11*T2^9 - 
     1269*T1^12*T2^9 - 887*T1^13*T2^9 + 643*T1^14*T2^9 - 28*T1^15*T2^9 - 
     14*T1^16*T2^9 - 72*T1^2*T2^10 - 105*T1^3*T2^10 + 1689*T1^4*T2^10 - 
     905*T1^5*T2^10 - 2243*T1^6*T2^10 + 2495*T1^7*T2^10 - 2852*T1^8*T2^10 - 
     1232*T1^9*T2^10 + 2540*T1^10*T2^10 - 749*T1^11*T2^10 - 591*T1^12*T2^10 + 
     1759*T1^13*T2^10 - 791*T1^14*T2^10 - 49*T1^15*T2^10 + 36*T1^16*T2^10 + 
     87*T1^3*T2^11 - 119*T1^4*T2^11 - 1317*T1^5*T2^11 + 2633*T1^6*T2^11 - 
     1372*T1^7*T2^11 + 1739*T1^9*T2^11 - 749*T1^10*T2^11 - 1986*T1^11*T2^11 + 
     2553*T1^12*T2^11 - 2216*T1^13*T2^11 + 696*T1^14*T2^11 + 
     161*T1^15*T2^11 - 58*T1^16*T2^11 - 70*T1^4*T2^12 + 287*T1^5*T2^12 + 
     143*T1^6*T2^12 - 1461*T1^7*T2^12 + 1927*T1^8*T2^12 - 1269*T1^9*T2^12 - 
     591*T1^10*T2^12 + 2553*T1^11*T2^12 - 2245*T1^12*T2^12 + 
     1381*T1^13*T2^12 - 179*T1^14*T2^12 - 287*T1^15*T2^12 + 70*T1^16*T2^12 + 
     29*T1^5*T2^13 - 203*T1^6*T2^13 + 409*T1^7*T2^13 - 7*T1^8*T2^13 - 
     887*T1^9*T2^13 + 1759*T1^10*T2^13 - 2216*T1^11*T2^13 + 
     1381*T1^12*T2^13 - 547*T1^13*T2^13 - 149*T1^14*T2^13 + 280*T1^15*T2^13 - 
     58*T1^16*T2^13 + 49*T1^7*T2^14 - 312*T1^8*T2^14 + 643*T1^9*T2^14 - 
     791*T1^10*T2^14 + 696*T1^11*T2^14 - 179*T1^12*T2^14 - 149*T1^13*T2^14 + 
     300*T1^14*T2^14 - 203*T1^15*T2^14 + 36*T1^16*T2^14 - 7*T1^7*T2^15 + 
     35*T1^8*T2^15 - 28*T1^9*T2^15 - 49*T1^10*T2^15 + 161*T1^11*T2^15 - 
     287*T1^12*T2^15 + 280*T1^13*T2^15 - 203*T1^14*T2^15 + 91*T1^15*T2^15 - 
     14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 36*T1^10*T2^16 - 
     58*T1^11*T2^16 + 70*T1^12*T2^16 - 58*T1^13*T2^16 + 36*T1^14*T2^16 - 
     14*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 682] -> 
  {(2 - 12*T + 25*T^2 - 29*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 199*T1 - 415*T1^2 + 481*T1^3 - 415*T1^4 + 199*T1^5 - 33*T1^6 + 
     199*T2 - 1050*T1*T2 + 1592*T1^2*T2 - 998*T1^3*T2 + 298*T1^4*T2 + 
     704*T1^5*T2 - 714*T1^6*T2 + 151*T1^7*T2 - 415*T2^2 + 1592*T1*T2^2 + 
     74*T1^2*T2^2 - 4156*T1^3*T2^2 + 5410*T1^4*T2^2 - 5856*T1^5*T2^2 + 
     2374*T1^6*T2^2 + 392*T1^7*T2^2 - 215*T1^8*T2^2 + 481*T2^3 - 
     998*T1*T2^3 - 4156*T1^2*T2^3 + 9352*T1^3*T2^3 - 6232*T1^4*T2^3 + 
     3530*T1^5*T2^3 + 3646*T1^6*T2^3 - 4306*T1^7*T2^3 + 490*T1^8*T2^3 + 
     133*T1^9*T2^3 - 415*T2^4 + 298*T1*T2^4 + 5410*T1^2*T2^4 - 
     6232*T1^3*T2^4 - 3068*T1^4*T2^4 + 6020*T1^5*T2^4 - 10300*T1^6*T2^4 + 
     3976*T1^7*T2^4 + 2058*T1^8*T2^4 - 710*T1^9*T2^4 - 15*T1^10*T2^4 + 
     199*T2^5 + 704*T1*T2^5 - 5856*T1^2*T2^5 + 3530*T1^3*T2^5 + 
     6020*T1^4*T2^5 - 4281*T1^5*T2^5 + 3249*T1^6*T2^5 + 4095*T1^7*T2^5 - 
     5340*T1^8*T2^5 + 494*T1^9*T2^5 + 344*T1^10*T2^5 - 41*T1^11*T2^5 - 
     33*T2^6 - 714*T1*T2^6 + 2374*T1^2*T2^6 + 3646*T1^3*T2^6 - 
     10300*T1^4*T2^6 + 3249*T1^5*T2^6 + 1152*T1^6*T2^6 - 5041*T1^7*T2^6 + 
     2346*T1^8*T2^6 + 2350*T1^9*T2^6 - 1438*T1^10*T2^6 + 150*T1^11*T2^6 + 
     15*T1^12*T2^6 + 151*T1*T2^7 + 392*T1^2*T2^7 - 4306*T1^3*T2^7 + 
     3976*T1^4*T2^7 + 4095*T1^5*T2^7 - 5041*T1^6*T2^7 + 2489*T1^7*T2^7 + 
     2170*T1^8*T2^7 - 4894*T1^9*T2^7 + 2044*T1^10*T2^7 + 32*T1^11*T2^7 - 
     89*T1^12*T2^7 - 215*T1^2*T2^8 + 490*T1^3*T2^8 + 2058*T1^4*T2^8 - 
     5340*T1^5*T2^8 + 2346*T1^6*T2^8 + 2170*T1^7*T2^8 - 4886*T1^8*T2^8 + 
     4868*T1^9*T2^8 - 1294*T1^10*T2^8 - 518*T1^11*T2^8 + 185*T1^12*T2^8 + 
     133*T1^3*T2^9 - 710*T1^4*T2^9 + 494*T1^5*T2^9 + 2350*T1^6*T2^9 - 
     4894*T1^7*T2^9 + 4868*T1^8*T2^9 - 3356*T1^9*T2^9 + 344*T1^10*T2^9 + 
     778*T1^11*T2^9 - 215*T1^12*T2^9 - 15*T1^4*T2^10 + 344*T1^5*T2^10 - 
     1438*T1^6*T2^10 + 2044*T1^7*T2^10 - 1294*T1^8*T2^10 + 344*T1^9*T2^10 + 
     862*T1^10*T2^10 - 856*T1^11*T2^10 + 185*T1^12*T2^10 - 41*T1^5*T2^11 + 
     150*T1^6*T2^11 + 32*T1^7*T2^11 - 518*T1^8*T2^11 + 778*T1^9*T2^11 - 
     856*T1^10*T2^11 + 486*T1^11*T2^11 - 89*T1^12*T2^11 + 15*T1^6*T2^12 - 
     89*T1^7*T2^12 + 185*T1^8*T2^12 - 215*T1^9*T2^12 + 185*T1^10*T2^12 - 
     89*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 683] -> 
  {((1 - T + T^2)*(1 - 6*T + 9*T^2 - 7*T^3 + 9*T^4 - 6*T^5 + T^6))/T^4, 
   (-6 + 42*T1 - 96*T1^2 + 132*T1^3 - 150*T1^4 + 132*T1^5 - 96*T1^6 + 
     42*T1^7 - 6*T1^8 + 42*T2 - 259*T1*T2 + 427*T1^2*T2 - 364*T1^3*T2 + 
     280*T1^4*T2 - 49*T1^5*T2 - 98*T1^6*T2 + 266*T1^7*T2 - 203*T1^8*T2 + 
     35*T1^9*T2 - 96*T2^2 + 427*T1*T2^2 + 116*T1^2*T2^2 - 1363*T1^3*T2^2 + 
     1968*T1^4*T2^2 - 2602*T1^5*T2^2 + 2256*T1^6*T2^2 - 1843*T1^7*T2^2 + 
     596*T1^8*T2^2 + 203*T1^9*T2^2 - 64*T1^10*T2^2 + 132*T2^3 - 364*T1*T2^3 - 
     1363*T1^2*T2^3 + 3022*T1^3*T2^3 - 2363*T1^4*T2^3 + 2293*T1^5*T2^3 - 
     463*T1^6*T2^3 - 219*T1^7*T2^3 + 1964*T1^8*T2^3 - 1523*T1^9*T2^3 - 
     14*T1^10*T2^3 + 66*T1^11*T2^3 - 150*T2^4 + 280*T1*T2^4 + 
     1968*T1^2*T2^4 - 2363*T1^3*T2^4 - 175*T1^4*T2^4 + 106*T1^5*T2^4 - 
     2221*T1^6*T2^4 + 1378*T1^7*T2^4 - 2395*T1^8*T2^4 + 57*T1^9*T2^4 + 
     1412*T1^10*T2^4 - 112*T1^11*T2^4 - 50*T1^12*T2^4 + 132*T2^5 - 
     49*T1*T2^5 - 2602*T1^2*T2^5 + 2293*T1^3*T2^5 + 106*T1^4*T2^5 + 
     1541*T1^5*T2^5 + 354*T1^6*T2^5 + 1230*T1^7*T2^5 + 647*T1^8*T2^5 + 
     1335*T1^9*T2^5 - 871*T1^10*T2^5 - 1039*T1^11*T2^5 + 196*T1^12*T2^5 + 
     22*T1^13*T2^5 - 96*T2^6 - 98*T1*T2^6 + 2256*T1^2*T2^6 - 463*T1^3*T2^6 - 
     2221*T1^4*T2^6 + 354*T1^5*T2^6 - 2991*T1^6*T2^6 + 1591*T1^7*T2^6 - 
     3591*T1^8*T2^6 + 1026*T1^9*T2^6 - 1373*T1^10*T2^6 + 1681*T1^11*T2^6 + 
     280*T1^12*T2^6 - 154*T1^13*T2^6 + 42*T2^7 + 266*T1*T2^7 - 
     1843*T1^2*T2^7 - 219*T1^3*T2^7 + 1378*T1^4*T2^7 + 1230*T1^5*T2^7 + 
     1591*T1^6*T2^7 - 223*T1^7*T2^7 + 1567*T1^8*T2^7 + 795*T1^9*T2^7 - 
     54*T1^10*T2^7 - 23*T1^11*T2^7 - 1259*T1^12*T2^7 + 237*T1^13*T2^7 + 
     49*T1^14*T2^7 - 7*T1^15*T2^7 - 6*T2^8 - 203*T1*T2^8 + 596*T1^2*T2^8 + 
     1964*T1^3*T2^8 - 2395*T1^4*T2^8 + 647*T1^5*T2^8 - 3591*T1^6*T2^8 + 
     1567*T1^7*T2^8 - 1368*T1^8*T2^8 - 727*T1^9*T2^8 + 125*T1^10*T2^8 - 
     187*T1^11*T2^8 + 945*T1^12*T2^8 + 292*T1^13*T2^8 - 310*T1^14*T2^8 + 
     35*T1^15*T2^8 + 2*T1^16*T2^8 + 35*T1*T2^9 + 203*T1^2*T2^9 - 
     1523*T1^3*T2^9 + 57*T1^4*T2^9 + 1335*T1^5*T2^9 + 1026*T1^6*T2^9 + 
     795*T1^7*T2^9 - 727*T1^8*T2^9 + 1063*T1^9*T2^9 - T1^10*T2^9 - 
     258*T1^11*T2^9 - 66*T1^12*T2^9 - 983*T1^13*T2^9 + 557*T1^14*T2^9 - 
     14*T1^15*T2^9 - 14*T1^16*T2^9 - 64*T1^2*T2^10 - 14*T1^3*T2^10 + 
     1412*T1^4*T2^10 - 871*T1^5*T2^10 - 1373*T1^6*T2^10 - 54*T1^7*T2^10 + 
     125*T1^8*T2^10 - T1^9*T2^10 - 475*T1^10*T2^10 + 618*T1^11*T2^10 - 
     525*T1^12*T2^10 + 1273*T1^13*T2^10 - 564*T1^14*T2^10 - 70*T1^15*T2^10 + 
     32*T1^16*T2^10 + 66*T1^3*T2^11 - 112*T1^4*T2^11 - 1039*T1^5*T2^11 + 
     1681*T1^6*T2^11 - 23*T1^7*T2^11 - 187*T1^8*T2^11 - 258*T1^9*T2^11 + 
     618*T1^10*T2^11 - 1081*T1^11*T2^11 + 1206*T1^12*T2^11 - 
     1483*T1^13*T2^11 + 524*T1^14*T2^11 + 133*T1^15*T2^11 - 44*T1^16*T2^11 - 
     50*T1^4*T2^12 + 196*T1^5*T2^12 + 280*T1^6*T2^12 - 1259*T1^7*T2^12 + 
     945*T1^8*T2^12 - 66*T1^9*T2^12 - 525*T1^10*T2^12 + 1206*T1^11*T2^12 - 
     1275*T1^12*T2^12 + 1161*T1^13*T2^12 - 276*T1^14*T2^12 - 
     196*T1^15*T2^12 + 50*T1^16*T2^12 + 22*T1^5*T2^13 - 154*T1^6*T2^13 + 
     237*T1^7*T2^13 + 292*T1^8*T2^13 - 983*T1^9*T2^13 + 1273*T1^10*T2^13 - 
     1483*T1^11*T2^13 + 1161*T1^12*T2^13 - 766*T1^13*T2^13 + 77*T1^14*T2^13 + 
     196*T1^15*T2^13 - 44*T1^16*T2^13 + 49*T1^7*T2^14 - 310*T1^8*T2^14 + 
     557*T1^9*T2^14 - 564*T1^10*T2^14 + 524*T1^11*T2^14 - 276*T1^12*T2^14 + 
     77*T1^13*T2^14 + 170*T1^14*T2^14 - 175*T1^15*T2^14 + 32*T1^16*T2^14 - 
     7*T1^7*T2^15 + 35*T1^8*T2^15 - 14*T1^9*T2^15 - 70*T1^10*T2^15 + 
     133*T1^11*T2^15 - 196*T1^12*T2^15 + 196*T1^13*T2^15 - 175*T1^14*T2^15 + 
     91*T1^15*T2^15 - 14*T1^16*T2^15 + 2*T1^8*T2^16 - 14*T1^9*T2^16 + 
     32*T1^10*T2^16 - 44*T1^11*T2^16 + 50*T1^12*T2^16 - 44*T1^13*T2^16 + 
     32*T1^14*T2^16 - 14*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 684] -> 
  {(2 - 14*T + 32*T^2 - 39*T^3 + 32*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-33 + 231*T1 - 527*T1^2 + 641*T1^3 - 527*T1^4 + 231*T1^5 - 33*T1^6 + 
     231*T2 - 1442*T1*T2 + 2464*T1^2*T2 - 1694*T1^3*T2 + 294*T1^4*T2 + 
     1176*T1^5*T2 - 994*T1^6*T2 + 175*T1^7*T2 - 527*T2^2 + 2464*T1*T2^2 - 
     83*T1^2*T2^2 - 7517*T1^3*T2^2 + 11175*T1^4*T2^2 - 10717*T1^5*T2^2 + 
     3757*T1^6*T2^2 + 672*T1^7*T2^2 - 271*T1^8*T2^2 + 641*T2^3 - 
     1694*T1*T2^3 - 7517*T1^2*T2^3 + 19362*T1^3*T2^3 - 15196*T1^4*T2^3 + 
     5848*T1^5*T2^3 + 8348*T1^6*T2^3 - 7837*T1^7*T2^3 + 686*T1^8*T2^3 + 
     173*T1^9*T2^3 - 527*T2^4 + 294*T1*T2^4 + 11175*T1^2*T2^4 - 
     15196*T1^3*T2^4 - 4020*T1^4*T2^4 + 16692*T1^5*T2^4 - 23640*T1^6*T2^4 + 
     7580*T1^7*T2^4 + 4079*T1^8*T2^4 - 1106*T1^9*T2^4 - 15*T1^10*T2^4 + 
     231*T2^5 + 1176*T1*T2^5 - 10717*T1^2*T2^5 + 5848*T1^3*T2^5 + 
     16692*T1^4*T2^5 - 18382*T1^5*T2^5 + 10642*T1^6*T2^5 + 9908*T1^7*T2^5 - 
     11732*T1^8*T2^5 + 1123*T1^9*T2^5 + 448*T1^10*T2^5 - 49*T1^11*T2^5 - 
     33*T2^6 - 994*T1*T2^6 + 3757*T1^2*T2^6 + 8348*T1^3*T2^6 - 
     23640*T1^4*T2^6 + 10642*T1^5*T2^6 + 5724*T1^6*T2^6 - 17374*T1^7*T2^6 + 
     7992*T1^8*T2^6 + 3828*T1^9*T2^6 - 2355*T1^10*T2^6 + 238*T1^11*T2^6 + 
     15*T1^12*T2^6 + 175*T1*T2^7 + 672*T1^2*T2^7 - 7837*T1^3*T2^7 + 
     7580*T1^4*T2^7 + 9908*T1^5*T2^7 - 17374*T1^6*T2^7 + 11650*T1^7*T2^7 + 
     3124*T1^8*T2^7 - 10000*T1^9*T2^7 + 4003*T1^10*T2^7 - 56*T1^11*T2^7 - 
     105*T1^12*T2^7 - 271*T1^2*T2^8 + 686*T1^3*T2^8 + 4079*T1^4*T2^8 - 
     11732*T1^5*T2^8 + 7992*T1^6*T2^8 + 3124*T1^7*T2^8 - 11628*T1^8*T2^8 + 
     11044*T1^9*T2^8 - 3017*T1^10*T2^8 - 714*T1^11*T2^8 + 241*T1^12*T2^8 + 
     173*T1^3*T2^9 - 1106*T1^4*T2^9 + 1123*T1^5*T2^9 + 3828*T1^6*T2^9 - 
     10000*T1^7*T2^9 + 11044*T1^8*T2^9 - 7186*T1^9*T2^9 + 803*T1^10*T2^9 + 
     1274*T1^11*T2^9 - 295*T1^12*T2^9 - 15*T1^4*T2^10 + 448*T1^5*T2^10 - 
     2355*T1^6*T2^10 + 4003*T1^7*T2^10 - 3017*T1^8*T2^10 + 803*T1^9*T2^10 + 
     1485*T1^10*T2^10 - 1344*T1^11*T2^10 + 241*T1^12*T2^10 - 49*T1^5*T2^11 + 
     238*T1^6*T2^11 - 56*T1^7*T2^11 - 714*T1^8*T2^11 + 1274*T1^9*T2^11 - 
     1344*T1^10*T2^11 + 686*T1^11*T2^11 - 105*T1^12*T2^11 + 15*T1^6*T2^12 - 
     105*T1^7*T2^12 + 241*T1^8*T2^12 - 295*T1^9*T2^12 + 241*T1^10*T2^12 - 
     105*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 685] -> 
  {-(((1 - T + T^2)*(4 - 17*T + 25*T^2 - 17*T^3 + 4*T^4))/T^3), 
   -((-336 + 1748*T1 - 3804*T1^2 + 4872*T1^3 - 3804*T1^4 + 1748*T1^5 - 
      336*T1^6 + 1748*T2 - 7690*T1*T2 + 12485*T1^2*T2 - 9433*T1^3*T2 - 
      613*T1^4*T2 + 6857*T1^5*T2 - 5590*T1^6*T2 + 1412*T1^7*T2 - 3804*T2^2 + 
      12485*T1*T2^2 - 7396*T1^2*T2^2 - 15604*T1^3*T2^2 + 36886*T1^4*T2^2 - 
      29588*T1^5*T2^2 + 8060*T1^6*T2^2 + 4757*T1^7*T2^2 - 2332*T1^8*T2^2 + 
      4872*T2^3 - 9433*T1*T2^3 - 15604*T1^2*T2^3 + 49494*T1^3*T2^3 - 
      50545*T1^4*T2^3 + 3449*T1^5*T2^3 + 29376*T1^6*T2^3 - 24022*T1^7*T2^3 + 
      1571*T1^8*T2^3 + 2040*T1^9*T2^3 - 3804*T2^4 - 613*T1*T2^4 + 
      36886*T1^2*T2^4 - 50545*T1^3*T2^4 + 8940*T1^4*T2^4 + 56848*T1^5*T2^4 - 
      54312*T1^6*T2^4 + 10107*T1^7*T2^4 + 18704*T1^8*T2^4 - 6157*T1^9*T2^4 - 
      860*T1^10*T2^4 + 1748*T2^5 + 6857*T1*T2^5 - 29588*T1^2*T2^5 + 
      3449*T1^3*T2^5 + 56848*T1^4*T2^5 - 82850*T1^5*T2^5 + 18454*T1^6*T2^5 + 
      38264*T1^7*T2^5 - 37229*T1^8*T2^5 + 1094*T1^9*T2^5 + 4085*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5590*T1*T2^6 + 8060*T1^2*T2^6 + 
      29376*T1^3*T2^6 - 54312*T1^4*T2^6 + 18454*T1^5*T2^6 + 60060*T1^6*T2^6 - 
      70290*T1^7*T2^6 + 23772*T1^8*T2^6 + 15984*T1^9*T2^6 - 7640*T1^10*T2^6 - 
      550*T1^11*T2^6 + 48*T1^12*T2^6 + 1412*T1*T2^7 + 4757*T1^2*T2^7 - 
      24022*T1^3*T2^7 + 10107*T1^4*T2^7 + 38264*T1^5*T2^7 - 70290*T1^6*T2^7 + 
      31014*T1^7*T2^7 + 19680*T1^8*T2^7 - 30571*T1^9*T2^7 + 6660*T1^10*T2^7 + 
      1985*T1^11*T2^7 - 268*T1^12*T2^7 - 2332*T1^2*T2^8 + 1571*T1^3*T2^8 + 
      18704*T1^4*T2^8 - 37229*T1^5*T2^8 + 23772*T1^6*T2^8 + 19680*T1^7*T2^8 - 
      39480*T1^8*T2^8 + 23423*T1^9*T2^8 + 522*T1^10*T2^8 - 3973*T1^11*T2^8 + 
      612*T1^12*T2^8 + 2040*T1^3*T2^9 - 6157*T1^4*T2^9 + 1094*T1^5*T2^9 + 
      15984*T1^6*T2^9 - 30571*T1^7*T2^9 + 23423*T1^8*T2^9 - 4134*T1^9*T2^9 - 
      7324*T1^10*T2^9 + 4847*T1^11*T2^9 - 792*T1^12*T2^9 - 860*T1^4*T2^10 + 
      4085*T1^5*T2^10 - 7640*T1^6*T2^10 + 6660*T1^7*T2^10 + 522*T1^8*T2^10 - 
      7324*T1^9*T2^10 + 7816*T1^10*T2^10 - 3643*T1^11*T2^10 + 
      612*T1^12*T2^10 + 68*T1^5*T2^11 - 550*T1^6*T2^11 + 1985*T1^7*T2^11 - 
      3973*T1^8*T2^11 + 4847*T1^9*T2^11 - 3643*T1^10*T2^11 + 
      1550*T1^11*T2^11 - 268*T1^12*T2^11 + 48*T1^6*T2^12 - 268*T1^7*T2^12 + 
      612*T1^8*T2^12 - 792*T1^9*T2^12 + 612*T1^10*T2^12 - 268*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 686] -> 
  {-((5 - 23*T + 47*T^2 - 59*T^3 + 47*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((-645 + 2945*T1 - 5981*T1^2 + 7499*T1^3 - 5981*T1^4 + 2945*T1^5 - 
      645*T1^6 + 2945*T2 - 11095*T1*T2 + 16558*T1^2*T2 - 12364*T1^3*T2 - 
      174*T1^4*T2 + 8508*T1^5*T2 - 7875*T1^6*T2 + 2370*T1^7*T2 - 5981*T2^2 + 
      16558*T1*T2^2 - 9790*T1^2*T2^2 - 14511*T1^3*T2^2 + 37362*T1^4*T2^2 - 
      31431*T1^5*T2^2 + 9950*T1^6*T2^2 + 5748*T1^7*T2^2 - 3631*T1^8*T2^2 + 
      7499*T2^3 - 12364*T1*T2^3 - 14511*T1^2*T2^3 + 45590*T1^3*T2^3 - 
      47641*T1^4*T2^3 + 4995*T1^5*T2^3 + 26560*T1^6*T2^3 - 25838*T1^7*T2^3 + 
      2586*T1^8*T2^3 + 3074*T1^9*T2^3 - 5981*T2^4 - 174*T1*T2^4 + 
      37362*T1^2*T2^4 - 47641*T1^3*T2^4 + 13154*T1^4*T2^4 + 44272*T1^5*T2^4 - 
      45070*T1^6*T2^4 + 10887*T1^7*T2^4 + 19120*T1^8*T2^4 - 8224*T1^9*T2^4 - 
      1281*T1^10*T2^4 + 2945*T2^5 + 8508*T1*T2^5 - 31431*T1^2*T2^5 + 
      4995*T1^3*T2^5 + 44272*T1^4*T2^5 - 67327*T1^5*T2^5 + 15701*T1^6*T2^5 + 
      30689*T1^7*T2^5 - 35857*T1^8*T2^5 + 2268*T1^9*T2^5 + 5518*T1^10*T2^5 + 
      70*T1^11*T2^5 - 645*T2^6 - 7875*T1*T2^6 + 9950*T1^2*T2^6 + 
      26560*T1^3*T2^6 - 45070*T1^4*T2^6 + 15701*T1^5*T2^6 + 48852*T1^6*T2^6 - 
      57925*T1^7*T2^6 + 22692*T1^8*T2^6 + 15548*T1^9*T2^6 - 9578*T1^10*T2^6 - 
      745*T1^11*T2^6 + 105*T1^12*T2^6 + 2370*T1*T2^7 + 5748*T1^2*T2^7 - 
      25838*T1^3*T2^7 + 10887*T1^4*T2^7 + 30689*T1^5*T2^7 - 57925*T1^6*T2^7 + 
      25103*T1^7*T2^7 + 17106*T1^8*T2^7 - 29965*T1^9*T2^7 + 7861*T1^10*T2^7 + 
      2758*T1^11*T2^7 - 505*T1^12*T2^7 - 3631*T1^2*T2^8 + 2586*T1^3*T2^8 + 
      19120*T1^4*T2^8 - 35857*T1^5*T2^8 + 22692*T1^6*T2^8 + 17106*T1^7*T2^8 - 
      35532*T1^8*T2^8 + 22671*T1^9*T2^8 + 878*T1^10*T2^8 - 5464*T1^11*T2^8 + 
      1069*T1^12*T2^8 + 3074*T1^3*T2^9 - 8224*T1^4*T2^9 + 2268*T1^5*T2^9 + 
      15548*T1^6*T2^9 - 29965*T1^7*T2^9 + 22671*T1^8*T2^9 - 3482*T1^9*T2^9 - 
      9059*T1^10*T2^9 + 6726*T1^11*T2^9 - 1351*T1^12*T2^9 - 1281*T1^4*T2^10 + 
      5518*T1^5*T2^10 - 9578*T1^6*T2^10 + 7861*T1^7*T2^10 + 878*T1^8*T2^10 - 
      9059*T1^9*T2^10 + 10162*T1^10*T2^10 - 5292*T1^11*T2^10 + 
      1069*T1^12*T2^10 + 70*T1^5*T2^11 - 745*T1^6*T2^11 + 2758*T1^7*T2^11 - 
      5464*T1^8*T2^11 + 6726*T1^9*T2^11 - 5292*T1^10*T2^11 + 
      2475*T1^11*T2^11 - 505*T1^12*T2^11 + 105*T1^6*T2^12 - 505*T1^7*T2^12 + 
      1069*T1^8*T2^12 - 1351*T1^9*T2^12 + 1069*T1^10*T2^12 - 
      505*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 687] -> 
  {(3 - 21*T + 53*T^2 - 69*T^3 + 53*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 774*T1 - 1943*T1^2 + 2521*T1^3 - 1943*T1^4 + 774*T1^5 - 111*T1^6 + 
     774*T2 - 4819*T1*T2 + 9505*T1^2*T2 - 7395*T1^3*T2 + 291*T1^4*T2 + 
     4843*T1^5*T2 - 3307*T1^6*T2 + 585*T1^7*T2 - 1943*T2^2 + 9505*T1*T2^2 - 
     6742*T1^2*T2^2 - 20119*T1^3*T2^2 + 41240*T1^4*T2^2 - 35383*T1^5*T2^2 + 
     9158*T1^6*T2^2 + 2827*T1^7*T2^2 - 989*T1^8*T2^2 + 2521*T2^3 - 
     7395*T1*T2^3 - 20119*T1^2*T2^3 + 74596*T1^3*T2^3 - 73020*T1^4*T2^3 + 
     16812*T1^5*T2^3 + 36946*T1^6*T2^3 - 26320*T1^7*T2^3 + 2307*T1^8*T2^3 + 
     658*T1^9*T2^3 - 1943*T2^4 + 291*T1*T2^4 + 41240*T1^2*T2^4 - 
     73020*T1^3*T2^4 - 2808*T1^4*T2^4 + 96212*T1^5*T2^4 - 110112*T1^6*T2^4 + 
     27996*T1^7*T2^4 + 14090*T1^8*T2^4 - 4371*T1^9*T2^4 - 35*T1^10*T2^4 + 
     774*T2^5 + 4843*T1*T2^5 - 35383*T1^2*T2^5 + 16812*T1^3*T2^5 + 
     96212*T1^4*T2^5 - 141151*T1^5*T2^5 + 65477*T1^6*T2^5 + 49307*T1^7*T2^5 - 
     50652*T1^8*T2^5 + 7070*T1^9*T2^5 + 1441*T1^10*T2^5 - 171*T1^11*T2^5 - 
     111*T2^6 - 3307*T1*T2^6 + 9158*T1^2*T2^6 + 36946*T1^3*T2^6 - 
     110112*T1^4*T2^6 + 65477*T1^5*T2^6 + 54552*T1^6*T2^6 - 
     117121*T1^7*T2^6 + 51934*T1^8*T2^6 + 8734*T1^9*T2^6 - 8170*T1^10*T2^6 + 
     851*T1^11*T2^6 + 51*T1^12*T2^6 + 585*T1*T2^7 + 2827*T1^2*T2^7 - 
     26320*T1^3*T2^7 + 27996*T1^4*T2^7 + 49307*T1^5*T2^7 - 117121*T1^6*T2^7 + 
     89507*T1^7*T2^7 + 2402*T1^8*T2^7 - 39468*T1^9*T2^7 + 16133*T1^10*T2^7 - 
     575*T1^11*T2^7 - 360*T1^12*T2^7 - 989*T1^2*T2^8 + 2307*T1^3*T2^8 + 
     14090*T1^4*T2^8 - 50652*T1^5*T2^8 + 51934*T1^6*T2^8 + 2402*T1^7*T2^8 - 
     55370*T1^8*T2^8 + 50364*T1^9*T2^8 - 13060*T1^10*T2^8 - 2355*T1^11*T2^8 + 
     919*T1^12*T2^8 + 658*T1^3*T2^9 - 4371*T1^4*T2^9 + 7070*T1^5*T2^9 + 
     8734*T1^6*T2^9 - 39468*T1^7*T2^9 + 50364*T1^8*T2^9 - 28916*T1^9*T2^9 + 
     869*T1^10*T2^9 + 5331*T1^11*T2^9 - 1205*T1^12*T2^9 - 35*T1^4*T2^10 + 
     1441*T1^5*T2^10 - 8170*T1^6*T2^10 + 16133*T1^7*T2^10 - 
     13060*T1^8*T2^10 + 869*T1^9*T2^10 + 7730*T1^10*T2^10 - 
     5237*T1^11*T2^10 + 919*T1^12*T2^10 - 171*T1^5*T2^11 + 851*T1^6*T2^11 - 
     575*T1^7*T2^11 - 2355*T1^8*T2^11 + 5331*T1^9*T2^11 - 5237*T1^10*T2^11 + 
     2363*T1^11*T2^11 - 360*T1^12*T2^11 + 51*T1^6*T2^12 - 360*T1^7*T2^12 + 
     919*T1^8*T2^12 - 1205*T1^9*T2^12 + 919*T1^10*T2^12 - 360*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 688] -> 
  {(2 - 10*T + 26*T^2 - 42*T^3 + 49*T^4 - 42*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-49 + 244*T1 - 632*T1^2 + 1017*T1^3 - 1185*T1^4 + 1017*T1^5 - 
     632*T1^6 + 244*T1^7 - 49*T1^8 + 244*T2 - 1012*T1*T2 + 2136*T1^2*T2 - 
     2444*T1^3*T2 + 1680*T1^4*T2 - 140*T1^5*T2 - 1084*T1^6*T2 + 
     1416*T1^7*T2 - 772*T1^8*T2 + 204*T1^9*T2 - 632*T2^2 + 2136*T1*T2^2 - 
     3521*T1^2*T2^2 + 2095*T1^3*T2^2 + 454*T1^4*T2^2 - 2837*T1^5*T2^2 + 
     2846*T1^6*T2^2 - 1233*T1^7*T2^2 - 1025*T1^8*T2^2 + 1096*T1^9*T2^2 - 
     424*T1^10*T2^2 + 1017*T2^3 - 2444*T1*T2^3 + 2095*T1^2*T2^3 + 
     2998*T1^3*T2^3 - 5686*T1^4*T2^3 + 5537*T1^5*T2^3 - 987*T1^6*T2^3 - 
     2874*T1^7*T2^3 + 4726*T1^8*T2^3 - 1337*T1^9*T2^3 - 444*T1^10*T2^3 + 
     513*T1^11*T2^3 - 1185*T2^4 + 1680*T1*T2^4 + 454*T1^2*T2^4 - 
     5686*T1^3*T2^4 + 1453*T1^4*T2^4 + 4889*T1^5*T2^4 - 12279*T1^6*T2^4 + 
     11665*T1^7*T2^4 - 7003*T1^8*T2^4 - 1990*T1^9*T2^4 + 2246*T1^10*T2^4 - 
     560*T1^11*T2^4 - 401*T1^12*T2^4 + 1017*T2^5 - 140*T1*T2^5 - 
     2837*T1^2*T2^5 + 5537*T1^3*T2^5 + 4889*T1^4*T2^5 - 10008*T1^5*T2^5 + 
     11685*T1^6*T2^5 - 2847*T1^7*T2^5 - 4002*T1^8*T2^5 + 9677*T1^9*T2^5 - 
     1939*T1^10*T2^5 - 1241*T1^11*T2^5 + 1120*T1^12*T2^5 + 177*T1^13*T2^5 - 
     632*T2^6 - 1084*T1*T2^6 + 2846*T1^2*T2^6 - 987*T1^3*T2^6 - 
     12279*T1^4*T2^6 + 11685*T1^5*T2^6 - 7813*T1^6*T2^6 - 2825*T1^7*T2^6 + 
     4519*T1^8*T2^6 - 3995*T1^9*T2^6 - 6399*T1^10*T2^6 + 4109*T1^11*T2^6 - 
     746*T1^12*T2^6 - 844*T1^13*T2^6 - 8*T1^14*T2^6 + 244*T2^7 + 
     1416*T1*T2^7 - 1233*T1^2*T2^7 - 2874*T1^3*T2^7 + 11665*T1^4*T2^7 - 
     2847*T1^5*T2^7 - 2825*T1^6*T2^7 + 7928*T1^7*T2^7 - 1702*T1^8*T2^7 - 
     2605*T1^9*T2^7 + 9389*T1^10*T2^7 - 1075*T1^11*T2^7 - 2150*T1^12*T2^7 + 
     1575*T1^13*T2^7 + 216*T1^14*T2^7 - 36*T1^15*T2^7 - 49*T2^8 - 
     772*T1*T2^8 - 1025*T1^2*T2^8 + 4726*T1^3*T2^8 - 7003*T1^4*T2^8 - 
     4002*T1^5*T2^8 + 4519*T1^6*T2^8 - 1702*T1^7*T2^8 - 6504*T1^8*T2^8 + 
     6994*T1^9*T2^8 - 5657*T1^10*T2^8 - 4842*T1^11*T2^8 + 4389*T1^12*T2^8 - 
     1002*T1^13*T2^8 - 785*T1^14*T2^8 + 108*T1^15*T2^8 + 15*T1^16*T2^8 + 
     204*T1*T2^9 + 1096*T1^2*T2^9 - 1337*T1^3*T2^9 - 1990*T1^4*T2^9 + 
     9677*T1^5*T2^9 - 3995*T1^6*T2^9 - 2605*T1^7*T2^9 + 6994*T1^8*T2^9 - 
     2636*T1^9*T2^9 - 2385*T1^10*T2^9 + 8241*T1^11*T2^9 - 3063*T1^12*T2^9 - 
     1266*T1^13*T2^9 + 1471*T1^14*T2^9 - 104*T1^15*T2^9 - 76*T1^16*T2^9 - 
     424*T1^2*T2^10 - 444*T1^3*T2^10 + 2246*T1^4*T2^10 - 1939*T1^5*T2^10 - 
     6399*T1^6*T2^10 + 9389*T1^7*T2^10 - 5657*T1^8*T2^10 - 2385*T1^9*T2^10 + 
     6675*T1^10*T2^10 - 6291*T1^11*T2^10 - 519*T1^12*T2^10 + 
     3157*T1^13*T2^10 - 1346*T1^14*T2^10 - 204*T1^15*T2^10 + 
     200*T1^16*T2^10 + 513*T1^3*T2^11 - 560*T1^4*T2^11 - 1241*T1^5*T2^11 + 
     4109*T1^6*T2^11 - 1075*T1^7*T2^11 - 4842*T1^8*T2^11 + 8241*T1^9*T2^11 - 
     6291*T1^10*T2^11 + 1164*T1^11*T2^11 + 3713*T1^12*T2^11 - 
     3367*T1^13*T2^11 + 355*T1^14*T2^11 + 700*T1^15*T2^11 - 327*T1^16*T2^11 - 
     401*T1^4*T2^12 + 1120*T1^5*T2^12 - 746*T1^6*T2^12 - 2150*T1^7*T2^12 + 
     4389*T1^8*T2^12 - 3063*T1^9*T2^12 - 519*T1^10*T2^12 + 3713*T1^11*T2^12 - 
     4067*T1^12*T2^12 + 1546*T1^13*T2^12 + 1046*T1^14*T2^12 - 
     1120*T1^15*T2^12 + 383*T1^16*T2^12 + 177*T1^5*T2^13 - 844*T1^6*T2^13 + 
     1575*T1^7*T2^13 - 1002*T1^8*T2^13 - 1266*T1^9*T2^13 + 3157*T1^10*T2^13 - 
     3367*T1^11*T2^13 + 1546*T1^12*T2^13 + 726*T1^13*T2^13 - 
     1857*T1^14*T2^13 + 1156*T1^15*T2^13 - 327*T1^16*T2^13 - 8*T1^6*T2^14 + 
     216*T1^7*T2^14 - 785*T1^8*T2^14 + 1471*T1^9*T2^14 - 1346*T1^10*T2^14 + 
     355*T1^11*T2^14 + 1046*T1^12*T2^14 - 1857*T1^13*T2^14 + 
     1711*T1^14*T2^14 - 824*T1^15*T2^14 + 200*T1^16*T2^14 - 36*T1^7*T2^15 + 
     108*T1^8*T2^15 - 104*T1^9*T2^15 - 204*T1^10*T2^15 + 700*T1^11*T2^15 - 
     1120*T1^12*T2^15 + 1156*T1^13*T2^15 - 824*T1^14*T2^15 + 
     348*T1^15*T2^15 - 76*T1^16*T2^15 + 15*T1^8*T2^16 - 76*T1^9*T2^16 + 
     200*T1^10*T2^16 - 327*T1^11*T2^16 + 383*T1^12*T2^16 - 327*T1^13*T2^16 + 
     200*T1^14*T2^16 - 76*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 689] -> 
  {(2 - 13*T + 29*T^2 - 35*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 215*T1 - 480*T1^2 + 579*T1^3 - 480*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2065*T1^2*T2 - 1399*T1^3*T2 + 265*T1^4*T2 + 
     973*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 480*T2^2 + 2065*T1*T2^2 - 
     315*T1^2*T2^2 - 5408*T1^3*T2^2 + 8047*T1^4*T2^2 - 7960*T1^5*T2^2 + 
     2817*T1^6*T2^2 + 557*T1^7*T2^2 - 248*T1^8*T2^2 + 579*T2^3 - 
     1399*T1*T2^3 - 5408*T1^2*T2^3 + 14085*T1^3*T2^3 - 10844*T1^4*T2^3 + 
     4464*T1^5*T2^3 + 6021*T1^6*T2^3 - 5843*T1^7*T2^3 + 577*T1^8*T2^3 + 
     159*T1^9*T2^3 - 480*T2^4 + 265*T1*T2^4 + 8047*T1^2*T2^4 - 
     10844*T1^3*T2^4 - 3373*T1^4*T2^4 + 12051*T1^5*T2^4 - 17129*T1^6*T2^4 + 
     5606*T1^7*T2^4 + 2945*T1^8*T2^4 - 931*T1^9*T2^4 - 16*T1^10*T2^4 + 
     215*T2^5 + 973*T1*T2^5 - 7960*T1^2*T2^5 + 4464*T1^3*T2^5 + 
     12051*T1^4*T2^5 - 12616*T1^5*T2^5 + 6792*T1^6*T2^5 + 7498*T1^7*T2^5 - 
     8560*T1^8*T2^5 + 943*T1^9*T2^5 + 401*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 2817*T1^2*T2^6 + 6021*T1^3*T2^6 - 
     17129*T1^4*T2^6 + 6792*T1^5*T2^6 + 5112*T1^6*T2^6 - 12272*T1^7*T2^6 + 
     5321*T1^8*T2^6 + 2919*T1^9*T2^6 - 1911*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 557*T1^2*T2^7 - 5843*T1^3*T2^7 + 
     5606*T1^4*T2^7 + 7498*T1^5*T2^7 - 12272*T1^6*T2^7 + 7136*T1^7*T2^7 + 
     2945*T1^8*T2^7 - 7418*T1^9*T2^7 + 3060*T1^10*T2^7 - 15*T1^11*T2^7 - 
     97*T1^12*T2^7 - 248*T1^2*T2^8 + 577*T1^3*T2^8 + 2945*T1^4*T2^8 - 
     8560*T1^5*T2^8 + 5321*T1^6*T2^8 + 2945*T1^7*T2^8 - 8435*T1^8*T2^8 + 
     7890*T1^9*T2^8 - 2157*T1^10*T2^8 - 619*T1^11*T2^8 + 216*T1^12*T2^8 + 
     159*T1^3*T2^9 - 931*T1^4*T2^9 + 943*T1^5*T2^9 + 2919*T1^6*T2^9 - 
     7418*T1^7*T2^9 + 7890*T1^8*T2^9 - 5145*T1^9*T2^9 + 508*T1^10*T2^9 + 
     1045*T1^11*T2^9 - 261*T1^12*T2^9 - 16*T1^4*T2^10 + 401*T1^5*T2^10 - 
     1911*T1^6*T2^10 + 3060*T1^7*T2^10 - 2157*T1^8*T2^10 + 508*T1^9*T2^10 + 
     1221*T1^10*T2^10 - 1107*T1^11*T2^10 + 216*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 15*T1^7*T2^11 - 619*T1^8*T2^11 + 1045*T1^9*T2^11 - 
     1107*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 216*T1^8*T2^12 - 261*T1^9*T2^12 + 216*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 690] -> {(4 - 22*T + 37*T^2 - 22*T^3 + 4*T^4)/T^2, 
   (-144 + 804*T1 - 1360*T1^2 + 804*T1^3 - 144*T1^4 + 804*T2 - 4046*T1*T2 + 
     5052*T1^2*T2 - 140*T1^3*T2 - 1758*T1^4*T2 + 452*T1^5*T2 - 1360*T2^2 + 
     5052*T1*T2^2 + 1471*T1^2*T2^2 - 16023*T1^3*T2^2 + 11239*T1^4*T2^2 - 
     1460*T1^5*T2^2 - 176*T1^6*T2^2 + 804*T2^3 - 140*T1*T2^3 - 
     16023*T1^2*T2^3 + 30518*T1^3*T2^3 - 10644*T1^4*T2^3 - 4627*T1^5*T2^3 + 
     2412*T1^6*T2^3 - 252*T1^7*T2^3 - 144*T2^4 - 1758*T1*T2^4 + 
     11239*T1^2*T2^4 - 10644*T1^3*T2^4 - 13236*T1^4*T2^4 + 19892*T1^5*T2^4 - 
     7689*T1^6*T2^4 + 706*T1^7*T2^4 + 112*T1^8*T2^4 + 452*T1*T2^5 - 
     1460*T1^2*T2^5 - 4627*T1^3*T2^5 + 19892*T1^4*T2^5 - 21270*T1^5*T2^5 + 
     6769*T1^6*T2^5 + 1092*T1^7*T2^5 - 604*T1^8*T2^5 - 176*T1^2*T2^6 + 
     2412*T1^3*T2^6 - 7689*T1^4*T2^6 + 6769*T1^5*T2^6 + 2079*T1^6*T2^6 - 
     4100*T1^7*T2^6 + 1008*T1^8*T2^6 - 252*T1^3*T2^7 + 706*T1^4*T2^7 + 
     1092*T1^5*T2^7 - 4100*T1^6*T2^7 + 2994*T1^7*T2^7 - 604*T1^8*T2^7 + 
     112*T1^4*T2^8 - 604*T1^5*T2^8 + 1008*T1^6*T2^8 - 604*T1^7*T2^8 + 
     112*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 691] -> {(3 - 19*T + 33*T^2 - 19*T^3 + 3*T^4)/T^2, 
   (-63 + 401*T1 - 699*T1^2 + 401*T1^3 - 63*T1^4 + 401*T2 - 2323*T1*T2 + 
     2981*T1^2*T2 + 17*T1^3*T2 - 1069*T1^4*T2 + 230*T1^5*T2 - 699*T2^2 + 
     2981*T1*T2^2 + 1633*T1^2*T2^2 - 11501*T1^3*T2^2 + 7573*T1^4*T2^2 - 
     781*T1^5*T2^2 - 105*T1^6*T2^2 + 401*T2^3 + 17*T1*T2^3 - 
     11501*T1^2*T2^3 + 21772*T1^3*T2^3 - 7070*T1^4*T2^3 - 3350*T1^5*T2^3 + 
     1385*T1^6*T2^3 - 112*T1^7*T2^3 - 63*T2^4 - 1069*T1*T2^4 + 
     7573*T1^2*T2^4 - 7070*T1^3*T2^4 - 9936*T1^4*T2^4 + 13906*T1^5*T2^4 - 
     4957*T1^6*T2^4 + 413*T1^7*T2^4 + 45*T1^8*T2^4 + 230*T1*T2^5 - 
     781*T1^2*T2^5 - 3350*T1^3*T2^5 + 13906*T1^4*T2^5 - 14936*T1^5*T2^5 + 
     4801*T1^6*T2^5 + 587*T1^7*T2^5 - 283*T1^8*T2^5 - 105*T1^2*T2^6 + 
     1385*T1^3*T2^6 - 4957*T1^4*T2^6 + 4801*T1^5*T2^6 + 983*T1^6*T2^6 - 
     2377*T1^7*T2^6 + 489*T1^8*T2^6 - 112*T1^3*T2^7 + 413*T1^4*T2^7 + 
     587*T1^5*T2^7 - 2377*T1^6*T2^7 + 1667*T1^7*T2^7 - 283*T1^8*T2^7 + 
     45*T1^4*T2^8 - 283*T1^5*T2^8 + 489*T1^6*T2^8 - 283*T1^7*T2^8 + 
     45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 692] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 46*T1 - 85*T1^2 + 101*T1^3 - 85*T1^4 + 46*T1^5 - 15*T1^6 + 
      46*T2 - 126*T1*T2 + 214*T1^2*T2 - 224*T1^3*T2 + 160*T1^4*T2 - 
      58*T1^5*T2 + 2*T1^6*T2 + 14*T1^7*T2 - 85*T2^2 + 214*T1*T2^2 - 
      313*T1^2*T2^2 + 239*T1^3*T2^2 - 37*T1^4*T2^2 - 181*T1^5*T2^2 + 
      227*T1^6*T2^2 - 146*T1^7*T2^2 + 35*T1^8*T2^2 + 101*T2^3 - 224*T1*T2^3 + 
      239*T1^2*T2^3 - 64*T1^3*T2^3 - 177*T1^4*T2^3 + 263*T1^5*T2^3 - 
      68*T1^6*T2^3 - 169*T1^7*T2^3 + 216*T1^8*T2^3 - 107*T1^9*T2^3 - 
      85*T2^4 + 160*T1*T2^4 - 37*T1^2*T2^4 - 177*T1^3*T2^4 + 371*T1^4*T2^4 - 
      245*T1^5*T2^4 - 41*T1^6*T2^4 + 187*T1^7*T2^4 - 9*T1^8*T2^4 - 
      120*T1^9*T2^4 + 147*T1^10*T2^4 + 46*T2^5 - 58*T1*T2^5 - 181*T1^2*T2^5 + 
      263*T1^3*T2^5 - 245*T1^4*T2^5 - 188*T1^5*T2^5 + 400*T1^6*T2^5 - 
      319*T1^7*T2^5 - 101*T1^8*T2^5 + 135*T1^9*T2^5 - 98*T1^10*T2^5 - 
      114*T1^11*T2^5 - 15*T2^6 + 2*T1*T2^6 + 227*T1^2*T2^6 - 68*T1^3*T2^6 - 
      41*T1^4*T2^6 + 400*T1^5*T2^6 - 120*T1^6*T2^6 - 220*T1^7*T2^6 + 
      587*T1^8*T2^6 - 220*T1^9*T2^6 + 43*T1^10*T2^6 + 194*T1^11*T2^6 + 
      49*T1^12*T2^6 + 14*T1*T2^7 - 146*T1^2*T2^7 - 169*T1^3*T2^7 + 
      187*T1^4*T2^7 - 319*T1^5*T2^7 - 220*T1^6*T2^7 + 368*T1^7*T2^7 - 
      393*T1^8*T2^7 - 177*T1^9*T2^7 + 147*T1^10*T2^7 - 186*T1^11*T2^7 - 
      146*T1^12*T2^7 + 35*T1^2*T2^8 + 216*T1^3*T2^8 - 9*T1^4*T2^8 - 
      101*T1^5*T2^8 + 587*T1^6*T2^8 - 393*T1^7*T2^8 + 175*T1^8*T2^8 + 
      263*T1^9*T2^8 + 19*T1^10*T2^8 - 64*T1^11*T2^8 + 267*T1^12*T2^8 - 
      107*T1^3*T2^9 - 120*T1^4*T2^9 + 135*T1^5*T2^9 - 220*T1^6*T2^9 - 
      177*T1^7*T2^9 + 263*T1^8*T2^9 - 224*T1^9*T2^9 - 273*T1^10*T2^9 + 
      320*T1^11*T2^9 - 315*T1^12*T2^9 + 147*T1^4*T2^10 - 98*T1^5*T2^10 + 
      43*T1^6*T2^10 + 147*T1^7*T2^10 + 19*T1^8*T2^10 - 273*T1^9*T2^10 + 
      583*T1^10*T2^10 - 458*T1^11*T2^10 + 267*T1^12*T2^10 - 114*T1^5*T2^11 + 
      194*T1^6*T2^11 - 186*T1^7*T2^11 - 64*T1^8*T2^11 + 320*T1^9*T2^11 - 
      458*T1^10*T2^11 + 322*T1^11*T2^11 - 146*T1^12*T2^11 + 49*T1^6*T2^12 - 
      146*T1^7*T2^12 + 267*T1^8*T2^12 - 315*T1^9*T2^12 + 267*T1^10*T2^12 - 
      146*T1^11*T2^12 + 49*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 693] -> 
  {((1 - T + T^2)*(1 - 6*T + 11*T^2 - 11*T^3 + 11*T^4 - 6*T^5 + T^6))/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 56*T1^3 - 66*T1^4 + 56*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 266*T1^3*T2 + 266*T1^4*T2 - 
     161*T1^5*T2 + 56*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 300*T1^2*T2^2 + 113*T1^3*T2^2 + 202*T1^4*T2^2 - 
     634*T1^5*T2^2 + 742*T1^6*T2^2 - 643*T1^7*T2^2 + 312*T1^8*T2^2 - 
     49*T1^9*T2^2 + 56*T2^3 - 266*T1*T2^3 + 113*T1^2*T2^3 + 666*T1^3*T2^3 - 
     1447*T1^4*T2^3 + 2095*T1^5*T2^3 - 1727*T1^6*T2^3 + 989*T1^7*T2^3 - 
     48*T1^8*T2^3 - 391*T1^9*T2^3 + 196*T1^10*T2^3 - 28*T1^11*T2^3 - 
     66*T2^4 + 266*T1*T2^4 + 202*T1^2*T2^4 - 1447*T1^3*T2^4 + 
     2128*T1^4*T2^4 - 2146*T1^5*T2^4 + 564*T1^6*T2^4 + 962*T1^7*T2^4 - 
     1880*T1^8*T2^4 + 1521*T1^9*T2^4 - 166*T1^10*T2^4 - 266*T1^11*T2^4 + 
     66*T1^12*T2^4 + 56*T2^5 - 161*T1*T2^5 - 634*T1^2*T2^5 + 2095*T1^3*T2^5 - 
     2146*T1^4*T2^5 + 1305*T1^5*T2^5 + 741*T1^6*T2^5 - 1625*T1^7*T2^5 + 
     829*T1^8*T2^5 + 731*T1^9*T2^5 - 2427*T1^10*T2^5 + 1193*T1^11*T2^5 + 
     126*T1^12*T2^5 - 84*T1^13*T2^5 - 36*T2^6 + 56*T1*T2^6 + 742*T1^2*T2^6 - 
     1727*T1^3*T2^6 + 564*T1^4*T2^6 + 741*T1^5*T2^6 - 1736*T1^6*T2^6 + 
     1000*T1^7*T2^6 + 1456*T1^8*T2^6 - 2143*T1^9*T2^6 + 2372*T1^10*T2^6 + 
     1045*T1^11*T2^6 - 1614*T1^12*T2^6 + 84*T1^13*T2^6 + 72*T1^14*T2^6 + 
     14*T2^7 + 28*T1*T2^7 - 643*T1^2*T2^7 + 989*T1^3*T2^7 + 962*T1^4*T2^7 - 
     1625*T1^5*T2^7 + 1000*T1^6*T2^7 - 7*T1^7*T2^7 - 2177*T1^8*T2^7 + 
     412*T1^9*T2^7 - 295*T1^10*T2^7 - 2839*T1^11*T2^7 + 681*T1^12*T2^7 + 
     1373*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     312*T1^2*T2^8 - 48*T1^3*T2^8 - 1880*T1^4*T2^8 + 829*T1^5*T2^8 + 
     1456*T1^6*T2^8 - 2177*T1^7*T2^8 + 4200*T1^8*T2^8 - 931*T1^9*T2^8 + 
     1912*T1^10*T2^8 + 675*T1^11*T2^8 + 2504*T1^12*T2^8 - 2484*T1^13*T2^8 - 
     306*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 391*T1^3*T2^9 + 1521*T1^4*T2^9 + 731*T1^5*T2^9 - 
     2143*T1^6*T2^9 + 412*T1^7*T2^9 - 931*T1^8*T2^9 - 3101*T1^9*T2^9 - 
     176*T1^10*T2^9 - 813*T1^11*T2^9 - 3070*T1^12*T2^9 + 1213*T1^13*T2^9 + 
     1625*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 196*T1^3*T2^10 - 
     166*T1^4*T2^10 - 2427*T1^5*T2^10 + 2372*T1^6*T2^10 - 295*T1^7*T2^10 + 
     1912*T1^8*T2^10 - 176*T1^9*T2^10 + 5104*T1^10*T2^10 - 3179*T1^11*T2^10 + 
     4180*T1^12*T2^10 + 345*T1^13*T2^10 - 2522*T1^14*T2^10 + 
     224*T1^15*T2^10 + 108*T1^16*T2^10 - 28*T1^3*T2^11 - 266*T1^4*T2^11 + 
     1193*T1^5*T2^11 + 1045*T1^6*T2^11 - 2839*T1^7*T2^11 + 675*T1^8*T2^11 - 
     813*T1^9*T2^11 - 3179*T1^10*T2^11 + 199*T1^11*T2^11 + 38*T1^12*T2^11 - 
     3477*T1^13*T2^11 + 3020*T1^14*T2^11 + 21*T1^15*T2^11 - 168*T1^16*T2^11 + 
     66*T1^4*T2^12 + 126*T1^5*T2^12 - 1614*T1^6*T2^12 + 681*T1^7*T2^12 + 
     2504*T1^8*T2^12 - 3070*T1^9*T2^12 + 4180*T1^10*T2^12 + 38*T1^11*T2^12 - 
     1504*T1^12*T2^12 + 3649*T1^13*T2^12 - 1982*T1^14*T2^12 - 
     406*T1^15*T2^12 + 198*T1^16*T2^12 - 84*T1^5*T2^13 + 84*T1^6*T2^13 + 
     1373*T1^7*T2^13 - 2484*T1^8*T2^13 + 1213*T1^9*T2^13 + 345*T1^10*T2^13 - 
     3477*T1^11*T2^13 + 3649*T1^12*T2^13 - 3198*T1^13*T2^13 + 
     869*T1^14*T2^13 + 546*T1^15*T2^13 - 168*T1^16*T2^13 + 72*T1^6*T2^14 - 
     259*T1^7*T2^14 - 306*T1^8*T2^14 + 1625*T1^9*T2^14 - 2522*T1^10*T2^14 + 
     3020*T1^11*T2^14 - 1982*T1^12*T2^14 + 869*T1^13*T2^14 + 
     306*T1^14*T2^14 - 511*T1^15*T2^14 + 108*T1^16*T2^14 - 35*T1^7*T2^15 + 
     203*T1^8*T2^15 - 336*T1^9*T2^15 + 224*T1^10*T2^15 + 21*T1^11*T2^15 - 
     406*T1^12*T2^15 + 546*T1^13*T2^15 - 511*T1^14*T2^15 + 259*T1^15*T2^15 - 
     42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 108*T1^10*T2^16 - 
     168*T1^11*T2^16 + 198*T1^12*T2^16 - 168*T1^13*T2^16 + 108*T1^14*T2^16 - 
     42*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 694] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 11*T^3 + 11*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 588*T1^2 + 832*T1^3 - 911*T1^4 + 832*T1^5 - 
      588*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1166*T1*T2 + 1731*T1^2*T2 - 
      1656*T1^3*T2 + 1005*T1^4*T2 - 255*T1^5*T2 - 636*T1^6*T2 + 
      1111*T1^7*T2 - 926*T1^8*T2 + 243*T1^9*T2 - 588*T2^2 + 1731*T1*T2^2 - 
      559*T1^2*T2^2 - 1734*T1^3*T2^2 + 3930*T1^4*T2^2 - 4707*T1^5*T2^2 + 
      4938*T1^6*T2^2 - 3414*T1^7*T2^2 + 1037*T1^8*T2^2 + 891*T1^9*T2^2 - 
      420*T1^10*T2^2 + 832*T2^3 - 1656*T1*T2^3 - 1734*T1^2*T2^3 + 
      4016*T1^3*T2^3 - 4470*T1^4*T2^3 + 2606*T1^5*T2^3 - 1444*T1^6*T2^3 - 
      1500*T1^7*T2^3 + 3266*T1^8*T2^3 - 2994*T1^9*T2^3 - 276*T1^10*T2^3 + 
      472*T1^11*T2^3 - 911*T2^4 + 1005*T1*T2^4 + 3930*T1^2*T2^4 - 
      4470*T1^3*T2^4 + 3749*T1^4*T2^4 - 1795*T1^5*T2^4 + 2243*T1^6*T2^4 + 
      125*T1^7*T2^4 - 67*T1^8*T2^4 - 990*T1^9*T2^4 + 3474*T1^10*T2^4 - 
      435*T1^11*T2^4 - 383*T1^12*T2^4 + 832*T2^5 - 255*T1*T2^5 - 
      4707*T1^2*T2^5 + 2606*T1^3*T2^5 - 1795*T1^4*T2^5 + 674*T1^5*T2^5 - 
      2172*T1^6*T2^5 - 672*T1^7*T2^5 - 166*T1^8*T2^5 + 455*T1^9*T2^5 - 
      1624*T1^10*T2^5 - 2367*T1^11*T2^5 + 765*T1^12*T2^5 + 232*T1^13*T2^5 - 
      588*T2^6 - 636*T1*T2^6 + 4938*T1^2*T2^6 - 1444*T1^3*T2^6 + 
      2243*T1^4*T2^6 - 2172*T1^5*T2^6 + 3362*T1^6*T2^6 + 464*T1^7*T2^6 + 
      782*T1^8*T2^6 - 252*T1^9*T2^6 + 893*T1^10*T2^6 + 2336*T1^11*T2^6 + 
      1002*T1^12*T2^6 - 756*T1^13*T2^6 - 84*T1^14*T2^6 + 283*T2^7 + 
      1111*T1*T2^7 - 3414*T1^2*T2^7 - 1500*T1^3*T2^7 + 125*T1^4*T2^7 - 
      672*T1^5*T2^7 + 464*T1^6*T2^7 - 3266*T1^7*T2^7 - 116*T1^8*T2^7 + 
      344*T1^9*T2^7 - 1332*T1^10*T2^7 - 805*T1^11*T2^7 - 2430*T1^12*T2^7 + 
      366*T1^13*T2^7 + 411*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      926*T1*T2^8 + 1037*T1^2*T2^8 + 3266*T1^3*T2^8 - 67*T1^4*T2^8 - 
      166*T1^5*T2^8 + 782*T1^6*T2^8 - 116*T1^7*T2^8 + 3888*T1^8*T2^8 - 
      2716*T1^9*T2^8 + 2138*T1^10*T2^8 - 46*T1^11*T2^8 + 2033*T1^12*T2^8 + 
      866*T1^13*T2^8 - 763*T1^14*T2^8 - 46*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 891*T1^2*T2^9 - 2994*T1^3*T2^9 - 990*T1^4*T2^9 + 
      455*T1^5*T2^9 - 252*T1^6*T2^9 + 344*T1^7*T2^9 - 2716*T1^8*T2^9 + 
      434*T1^9*T2^9 + 224*T1^10*T2^9 - 912*T1^11*T2^9 - 475*T1^12*T2^9 - 
      1920*T1^13*T2^9 + 786*T1^14*T2^9 + 191*T1^15*T2^9 - 37*T1^16*T2^9 - 
      420*T1^2*T2^10 - 276*T1^3*T2^10 + 3474*T1^4*T2^10 - 1624*T1^5*T2^10 + 
      893*T1^6*T2^10 - 1332*T1^7*T2^10 + 2138*T1^8*T2^10 + 224*T1^9*T2^10 - 
      442*T1^10*T2^10 + 588*T1^11*T2^10 - 457*T1^12*T2^10 + 
      2156*T1^13*T2^10 - 462*T1^14*T2^10 - 396*T1^15*T2^10 + 84*T1^16*T2^10 + 
      472*T1^3*T2^11 - 435*T1^4*T2^11 - 2367*T1^5*T2^11 + 2336*T1^6*T2^11 - 
      805*T1^7*T2^11 - 46*T1^8*T2^11 - 912*T1^9*T2^11 + 588*T1^10*T2^11 - 
      886*T1^11*T2^11 + 1445*T1^12*T2^11 - 1894*T1^13*T2^11 - 
      27*T1^14*T2^11 + 585*T1^15*T2^11 - 128*T1^16*T2^11 - 383*T1^4*T2^12 + 
      765*T1^5*T2^12 + 1002*T1^6*T2^12 - 2430*T1^7*T2^12 + 2033*T1^8*T2^12 - 
      475*T1^9*T2^12 - 457*T1^10*T2^12 + 1445*T1^11*T2^12 - 
      1783*T1^12*T2^12 + 1050*T1^13*T2^12 + 546*T1^14*T2^12 - 
      675*T1^15*T2^12 + 145*T1^16*T2^12 + 232*T1^5*T2^13 - 756*T1^6*T2^13 + 
      366*T1^7*T2^13 + 866*T1^8*T2^13 - 1920*T1^9*T2^13 + 2156*T1^10*T2^13 - 
      1894*T1^11*T2^13 + 1050*T1^12*T2^13 + 116*T1^13*T2^13 - 
      894*T1^14*T2^13 + 624*T1^15*T2^13 - 128*T1^16*T2^13 - 84*T1^6*T2^14 + 
      411*T1^7*T2^14 - 763*T1^8*T2^14 + 786*T1^9*T2^14 - 462*T1^10*T2^14 - 
      27*T1^11*T2^14 + 546*T1^12*T2^14 - 894*T1^13*T2^14 + 833*T1^14*T2^14 - 
      429*T1^15*T2^14 + 84*T1^16*T2^14 + 3*T1^7*T2^15 - 46*T1^8*T2^15 + 
      191*T1^9*T2^15 - 396*T1^10*T2^15 + 585*T1^11*T2^15 - 675*T1^12*T2^15 + 
      624*T1^13*T2^15 - 429*T1^14*T2^15 + 194*T1^15*T2^15 - 37*T1^16*T2^15 + 
      7*T1^8*T2^16 - 37*T1^9*T2^16 + 84*T1^10*T2^16 - 128*T1^11*T2^16 + 
      145*T1^12*T2^16 - 128*T1^13*T2^16 + 84*T1^14*T2^16 - 37*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 695] -> 
  {-(((1 - 3*T + T^2)*(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6))/
     T^4), -((-5 + 40*T1 - 145*T1^2 + 305*T1^3 - 385*T1^4 + 305*T1^5 - 
      145*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 904*T1^2*T2 - 
      1512*T1^3*T2 + 1128*T1^4*T2 + 24*T1^5*T2 - 792*T1^6*T2 + 608*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 145*T2^2 + 904*T1*T2^2 - 2245*T1^2*T2^2 + 
      2119*T1^3*T2^2 + 1931*T1^4*T2^2 - 5567*T1^5*T2^2 + 4715*T1^6*T2^2 - 
      955*T1^7*T2^2 - 621*T1^8*T2^2 + 440*T1^9*T2^2 - 87*T1^10*T2^2 + 
      305*T2^3 - 1512*T1*T2^3 + 2119*T1^2*T2^3 + 2875*T1^3*T2^3 - 
      13977*T1^4*T2^3 + 13974*T1^5*T2^3 - 1572*T1^6*T2^3 - 8652*T1^7*T2^3 + 
      5637*T1^8*T2^3 - 1100*T1^9*T2^3 - 280*T1^10*T2^3 + 122*T1^11*T2^3 - 
      385*T2^4 + 1128*T1*T2^4 + 1931*T1^2*T2^4 - 13977*T1^3*T2^4 + 
      24040*T1^4*T2^4 - 265*T1^5*T2^4 - 29684*T1^6*T2^4 + 30259*T1^7*T2^4 - 
      4280*T1^8*T2^4 - 5437*T1^9*T2^4 + 3055*T1^10*T2^4 - 360*T1^11*T2^4 - 
      77*T1^12*T2^4 + 305*T2^5 + 24*T1*T2^5 - 5567*T1^2*T2^5 + 
      13974*T1^3*T2^5 - 265*T1^4*T2^5 - 56056*T1^5*T2^5 + 69958*T1^6*T2^5 - 
      19129*T1^7*T2^5 - 35016*T1^8*T2^5 + 25373*T1^9*T2^5 - 5092*T1^10*T2^5 - 
      1397*T1^11*T2^5 + 616*T1^12*T2^5 - 145*T2^6 - 792*T1*T2^6 + 
      4715*T1^2*T2^6 - 1572*T1^3*T2^6 - 29684*T1^4*T2^6 + 69958*T1^5*T2^6 - 
      10396*T1^6*T2^6 - 86876*T1^7*T2^6 + 105388*T1^8*T2^6 - 
      29002*T1^9*T2^6 - 10310*T1^10*T2^6 + 8694*T1^11*T2^6 - 
      1389*T1^12*T2^6 - 232*T1^13*T2^6 + 29*T1^14*T2^6 + 40*T2^7 + 
      608*T1*T2^7 - 955*T1^2*T2^7 - 8652*T1^3*T2^7 + 30259*T1^4*T2^7 - 
      19129*T1^5*T2^7 - 86876*T1^6*T2^7 + 143658*T1^7*T2^7 - 
      69314*T1^8*T2^7 - 44945*T1^9*T2^7 + 50212*T1^10*T2^7 - 
      14923*T1^11*T2^7 - 1117*T1^12*T2^7 + 1394*T1^13*T2^7 - 104*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 621*T1^2*T2^8 + 5637*T1^3*T2^8 - 
      4280*T1^4*T2^8 - 35016*T1^5*T2^8 + 105388*T1^6*T2^8 - 69314*T1^7*T2^8 - 
      55488*T1^8*T2^8 + 120298*T1^9*T2^8 - 56566*T1^10*T2^8 - 
      2764*T1^11*T2^8 + 10932*T1^12*T2^8 - 3185*T1^13*T2^8 - 97*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 440*T1^2*T2^9 - 
      1100*T1^3*T2^9 - 5437*T1^4*T2^9 + 25373*T1^5*T2^9 - 29002*T1^6*T2^9 - 
      44945*T1^7*T2^9 + 120298*T1^8*T2^9 - 92674*T1^9*T2^9 - 
      3014*T1^10*T2^9 + 40339*T1^11*T2^9 - 19809*T1^12*T2^9 + 
      2098*T1^13*T2^9 + 1249*T1^14*T2^9 - 272*T1^15*T2^9 - 24*T1^16*T2^9 - 
      87*T1^2*T2^10 - 280*T1^3*T2^10 + 3055*T1^4*T2^10 - 5092*T1^5*T2^10 - 
      10310*T1^6*T2^10 + 50212*T1^7*T2^10 - 56566*T1^8*T2^10 - 
      3014*T1^9*T2^10 + 59218*T1^10*T2^10 - 48748*T1^11*T2^10 + 
      9064*T1^12*T2^10 + 5174*T1^13*T2^10 - 3049*T1^14*T2^10 + 
      280*T1^15*T2^10 + 87*T1^16*T2^10 + 122*T1^3*T2^11 - 360*T1^4*T2^11 - 
      1397*T1^5*T2^11 + 8694*T1^6*T2^11 - 14923*T1^7*T2^11 - 
      2764*T1^8*T2^11 + 40339*T1^9*T2^11 - 48748*T1^10*T2^11 + 
      18276*T1^11*T2^11 + 10715*T1^12*T2^11 - 10372*T1^13*T2^11 + 
      2773*T1^14*T2^11 + 232*T1^15*T2^11 - 183*T1^16*T2^11 - 77*T1^4*T2^12 + 
      616*T1^5*T2^12 - 1389*T1^6*T2^12 - 1117*T1^7*T2^12 + 10932*T1^8*T2^12 - 
      19809*T1^9*T2^12 + 9064*T1^10*T2^12 + 10715*T1^11*T2^12 - 
      17388*T1^12*T2^12 + 7423*T1^13*T2^12 - 265*T1^14*T2^12 - 
      872*T1^15*T2^12 + 231*T1^16*T2^12 - 232*T1^6*T2^13 + 1394*T1^7*T2^13 - 
      3185*T1^8*T2^13 + 2098*T1^9*T2^13 + 5174*T1^10*T2^13 - 
      10372*T1^11*T2^13 + 7423*T1^12*T2^13 - 423*T1^13*T2^13 - 
      1825*T1^14*T2^13 + 1000*T1^15*T2^13 - 183*T1^16*T2^13 + 29*T1^6*T2^14 - 
      104*T1^7*T2^14 - 97*T1^8*T2^14 + 1249*T1^9*T2^14 - 3049*T1^10*T2^14 + 
      2773*T1^11*T2^14 - 265*T1^12*T2^14 - 1825*T1^13*T2^14 + 
      1527*T1^14*T2^14 - 568*T1^15*T2^14 + 87*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 272*T1^9*T2^15 + 280*T1^10*T2^15 + 232*T1^11*T2^15 - 
      872*T1^12*T2^15 + 1000*T1^13*T2^15 - 568*T1^14*T2^15 + 
      176*T1^15*T2^15 - 24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 
      87*T1^10*T2^16 - 183*T1^11*T2^16 + 231*T1^12*T2^16 - 183*T1^13*T2^16 + 
      87*T1^14*T2^16 - 24*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 696] -> 
  {(1 - 8*T + 29*T^2 - 61*T^3 + 79*T^4 - 61*T^5 + 29*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 244*T1^3 - 316*T1^4 + 244*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1256*T1^3*T2 + 
     1064*T1^4*T2 - 56*T1^5*T2 - 536*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1885*T1^2*T2^2 + 1968*T1^3*T2^2 + 
     870*T1^4*T2^2 - 4551*T1^5*T2^2 + 3770*T1^6*T2^2 - 1106*T1^7*T2^2 - 
     261*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 244*T2^3 - 
     1256*T1*T2^3 + 1968*T1^2*T2^3 + 1655*T1^3*T2^3 - 10185*T1^4*T2^3 + 
     13505*T1^5*T2^3 - 2505*T1^6*T2^3 - 5226*T1^7*T2^3 + 4417*T1^8*T2^3 - 
     1251*T1^9*T2^3 - 24*T1^10*T2^3 + 61*T1^11*T2^3 - 316*T2^4 + 
     1064*T1*T2^4 + 870*T1^2*T2^4 - 10185*T1^3*T2^4 + 19339*T1^4*T2^4 - 
     7917*T1^5*T2^4 - 22447*T1^6*T2^4 + 24135*T1^7*T2^4 - 7741*T1^8*T2^4 - 
     2133*T1^9*T2^4 + 2226*T1^10*T2^4 - 488*T1^11*T2^4 + 244*T2^5 - 
     56*T1*T2^5 - 4551*T1^2*T2^5 + 13505*T1^3*T2^5 - 7917*T1^4*T2^5 - 
     28966*T1^5*T2^5 + 62210*T1^6*T2^5 - 26095*T1^7*T2^5 - 15798*T1^8*T2^5 + 
     20087*T1^9*T2^5 - 6953*T1^10*T2^5 + 3*T1^11*T2^5 + 488*T1^12*T2^5 - 
     61*T1^13*T2^5 - 116*T2^6 - 536*T1*T2^6 + 3770*T1^2*T2^6 - 
     2505*T1^3*T2^6 - 22447*T1^4*T2^6 + 62210*T1^5*T2^6 - 53345*T1^6*T2^6 - 
     36851*T1^7*T2^6 + 77171*T1^8*T2^6 - 38994*T1^9*T2^6 + 523*T1^10*T2^6 + 
     6833*T1^11*T2^6 - 2218*T1^12*T2^6 + 24*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 1106*T1^2*T2^7 - 5226*T1^3*T2^7 + 
     24135*T1^4*T2^7 - 26095*T1^5*T2^7 - 36851*T1^6*T2^7 + 130614*T1^7*T2^7 - 
     108832*T1^8*T2^7 + 5446*T1^9*T2^7 + 36412*T1^10*T2^7 - 
     20061*T1^11*T2^7 + 2187*T1^12*T2^7 + 1243*T1^13*T2^7 - 272*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 261*T1^2*T2^8 + 4417*T1^3*T2^8 - 
     7741*T1^4*T2^8 - 15798*T1^5*T2^8 + 77171*T1^6*T2^8 - 108832*T1^7*T2^8 + 
     18504*T1^8*T2^8 + 95664*T1^9*T2^8 - 78055*T1^10*T2^8 + 
     17222*T1^11*T2^8 + 7487*T1^12*T2^8 - 4405*T1^13*T2^8 + 263*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 
     1251*T1^3*T2^9 - 2133*T1^4*T2^9 + 20087*T1^5*T2^9 - 38994*T1^6*T2^9 + 
     5446*T1^7*T2^9 + 95664*T1^8*T2^9 - 143782*T1^9*T2^9 + 47743*T1^10*T2^9 + 
     23513*T1^11*T2^9 - 24109*T1^12*T2^9 + 5280*T1^13*T2^9 + 
     1098*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     24*T1^3*T2^10 + 2226*T1^4*T2^10 - 6953*T1^5*T2^10 + 523*T1^6*T2^10 + 
     36412*T1^7*T2^10 - 78055*T1^8*T2^10 + 47743*T1^9*T2^10 + 
     52461*T1^10*T2^10 - 64792*T1^11*T2^10 + 23493*T1^12*T2^10 + 
     2385*T1^13*T2^10 - 3762*T1^14*T2^10 + 536*T1^15*T2^10 + 
     116*T1^16*T2^10 + 61*T1^3*T2^11 - 488*T1^4*T2^11 + 3*T1^5*T2^11 + 
     6833*T1^6*T2^11 - 20061*T1^7*T2^11 + 17222*T1^8*T2^11 + 
     23513*T1^9*T2^11 - 64792*T1^10*T2^11 + 30390*T1^11*T2^11 + 
     7943*T1^12*T2^11 - 13625*T1^13*T2^11 + 4557*T1^14*T2^11 + 
     56*T1^15*T2^11 - 244*T1^16*T2^11 + 488*T1^5*T2^12 - 2218*T1^6*T2^12 + 
     2187*T1^7*T2^12 + 7487*T1^8*T2^12 - 24109*T1^9*T2^12 + 
     23493*T1^10*T2^12 + 7943*T1^11*T2^12 - 19593*T1^12*T2^12 + 
     10239*T1^13*T2^12 - 862*T1^14*T2^12 - 1064*T1^15*T2^12 + 
     316*T1^16*T2^12 - 61*T1^5*T2^13 + 24*T1^6*T2^13 + 1243*T1^7*T2^13 - 
     4405*T1^8*T2^13 + 5280*T1^9*T2^13 + 2385*T1^10*T2^13 - 
     13625*T1^11*T2^13 + 10239*T1^12*T2^13 - 1643*T1^13*T2^13 - 
     1976*T1^14*T2^13 + 1256*T1^15*T2^13 - 244*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 263*T1^8*T2^14 + 1098*T1^9*T2^14 - 3762*T1^10*T2^14 + 
     4557*T1^11*T2^14 - 862*T1^12*T2^14 - 1976*T1^13*T2^14 + 
     1887*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 536*T1^10*T2^15 + 56*T1^11*T2^15 - 
     1064*T1^12*T2^15 + 1256*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 244*T1^11*T2^16 + 316*T1^12*T2^16 - 244*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 697] -> 
  {(1 - 9*T + 33*T^2 - 66*T^3 + 83*T^4 - 66*T^5 + 33*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 132*T1^2 + 264*T1^3 - 332*T1^4 + 264*T1^5 - 132*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 945*T1^2*T2 - 1485*T1^3*T2 + 
     1206*T1^4*T2 - 135*T1^5*T2 - 594*T1^6*T2 + 567*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 132*T2^2 + 945*T1*T2^2 - 2238*T1^2*T2^2 + 1303*T1^3*T2^2 + 
     2867*T1^4*T2^2 - 7052*T1^5*T2^2 + 6167*T1^6*T2^2 - 2459*T1^7*T2^2 - 
     126*T1^8*T2^2 + 351*T1^9*T2^2 - 66*T1^10*T2^2 + 264*T2^3 - 
     1485*T1*T2^3 + 1303*T1^2*T2^3 + 6631*T1^3*T2^3 - 17775*T1^4*T2^3 + 
     19440*T1^5*T2^3 - 5211*T1^6*T2^3 - 6588*T1^7*T2^3 + 7423*T1^8*T2^3 - 
     2261*T1^9*T2^3 + 66*T1^11*T2^3 - 332*T2^4 + 1206*T1*T2^4 + 
     2867*T1^2*T2^4 - 17775*T1^3*T2^4 + 23477*T1^4*T2^4 - 2089*T1^5*T2^4 - 
     34453*T1^6*T2^4 + 38387*T1^7*T2^4 - 17015*T1^8*T2^4 - 1671*T1^9*T2^4 + 
     3131*T1^10*T2^4 - 594*T1^11*T2^4 + 264*T2^5 - 135*T1*T2^5 - 
     7052*T1^2*T2^5 + 19440*T1^3*T2^5 - 2089*T1^4*T2^5 - 46429*T1^5*T2^5 + 
     78757*T1^6*T2^5 - 37766*T1^7*T2^5 - 14869*T1^8*T2^5 + 29192*T1^9*T2^5 - 
     10953*T1^10*T2^5 + 49*T1^11*T2^5 + 594*T1^12*T2^5 - 66*T1^13*T2^5 - 
     132*T2^6 - 594*T1*T2^6 + 6167*T1^2*T2^6 - 5211*T1^3*T2^6 - 
     34453*T1^4*T2^6 + 78757*T1^5*T2^6 - 59949*T1^6*T2^6 - 36941*T1^7*T2^6 + 
     84855*T1^8*T2^6 - 51725*T1^9*T2^6 + 461*T1^10*T2^6 + 10827*T1^11*T2^6 - 
     3205*T1^12*T2^6 + 66*T1^14*T2^6 + 36*T2^7 + 567*T1*T2^7 - 
     2459*T1^2*T2^7 - 6588*T1^3*T2^7 + 38387*T1^4*T2^7 - 37766*T1^5*T2^7 - 
     36941*T1^6*T2^7 + 128612*T1^7*T2^7 - 102484*T1^8*T2^7 + 1669*T1^9*T2^7 + 
     50839*T1^10*T2^7 - 29674*T1^11*T2^7 + 1893*T1^12*T2^7 + 
     2293*T1^13*T2^7 - 351*T1^14*T2^7 - 27*T1^15*T2^7 - 4*T2^8 - 
     207*T1*T2^8 - 126*T1^2*T2^8 + 7423*T1^3*T2^8 - 17015*T1^4*T2^8 - 
     14869*T1^5*T2^8 + 84855*T1^6*T2^8 - 102484*T1^7*T2^8 + 2484*T1^8*T2^8 + 
     100304*T1^9*T2^8 - 86349*T1^10*T2^8 + 16229*T1^11*T2^8 + 
     16913*T1^12*T2^8 - 7559*T1^13*T2^8 + 120*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 351*T1^2*T2^9 - 2261*T1^3*T2^9 - 
     1671*T1^4*T2^9 + 29192*T1^5*T2^9 - 51725*T1^6*T2^9 + 1669*T1^7*T2^9 + 
     100304*T1^8*T2^9 - 130792*T1^9*T2^9 + 40279*T1^10*T2^9 + 
     36880*T1^11*T2^9 - 38869*T1^12*T2^9 + 6810*T1^13*T2^9 + 
     2491*T1^14*T2^9 - 567*T1^15*T2^9 - 36*T1^16*T2^9 - 66*T1^2*T2^10 + 
     3131*T1^4*T2^10 - 10953*T1^5*T2^10 + 461*T1^6*T2^10 + 50839*T1^7*T2^10 - 
     86349*T1^8*T2^10 + 40279*T1^9*T2^10 + 58455*T1^10*T2^10 - 
     79643*T1^11*T2^10 + 35375*T1^12*T2^10 + 5085*T1^13*T2^10 - 
     6241*T1^14*T2^10 + 594*T1^15*T2^10 + 132*T1^16*T2^10 + 66*T1^3*T2^11 - 
     594*T1^4*T2^11 + 49*T1^5*T2^11 + 10827*T1^6*T2^11 - 29674*T1^7*T2^11 + 
     16229*T1^8*T2^11 + 36880*T1^9*T2^11 - 79643*T1^10*T2^11 + 
     47789*T1^11*T2^11 + 1607*T1^12*T2^11 - 19566*T1^13*T2^11 + 
     7150*T1^14*T2^11 + 135*T1^15*T2^11 - 264*T1^16*T2^11 + 594*T1^5*T2^12 - 
     3205*T1^6*T2^12 + 1893*T1^7*T2^12 + 16913*T1^8*T2^12 - 
     38869*T1^9*T2^12 + 35375*T1^10*T2^12 + 1607*T1^11*T2^12 - 
     23579*T1^12*T2^12 + 17997*T1^13*T2^12 - 2941*T1^14*T2^12 - 
     1206*T1^15*T2^12 + 332*T1^16*T2^12 - 66*T1^5*T2^13 + 2293*T1^7*T2^13 - 
     7559*T1^8*T2^13 + 6810*T1^9*T2^13 + 5085*T1^10*T2^13 - 
     19566*T1^11*T2^13 + 17997*T1^12*T2^13 - 6767*T1^13*T2^13 - 
     1271*T1^14*T2^13 + 1485*T1^15*T2^13 - 264*T1^16*T2^13 + 66*T1^6*T2^14 - 
     351*T1^7*T2^14 + 120*T1^8*T2^14 + 2491*T1^9*T2^14 - 6241*T1^10*T2^14 + 
     7150*T1^11*T2^14 - 2941*T1^12*T2^14 - 1271*T1^13*T2^14 + 
     2232*T1^14*T2^14 - 945*T1^15*T2^14 + 132*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 567*T1^9*T2^15 + 594*T1^10*T2^15 + 135*T1^11*T2^15 - 
     1206*T1^12*T2^15 + 1485*T1^13*T2^15 - 945*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     132*T1^10*T2^16 - 264*T1^11*T2^16 + 332*T1^12*T2^16 - 264*T1^13*T2^16 + 
     132*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 698] -> 
  {-((1 - 8*T + 28*T^2 - 55*T^3 + 67*T^4 - 55*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 165*T1^3 - 201*T1^4 + 165*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      872*T1^3*T2 + 728*T1^4*T2 - 248*T1^5*T2 - 208*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1358*T1^2*T2^2 + 
      1269*T1^3*T2^2 + 609*T1^4*T2^2 - 2388*T1^5*T2^2 + 2793*T1^6*T2^2 - 
      1363*T1^7*T2^2 + 154*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      165*T2^3 - 872*T1*T2^3 + 1269*T1^2*T2^3 + 1653*T1^3*T2^3 - 
      7289*T1^4*T2^3 + 8585*T1^5*T2^3 - 5048*T1^6*T2^3 - 1072*T1^7*T2^3 + 
      2829*T1^8*T2^3 - 1335*T1^9*T2^3 + 224*T1^10*T2^3 - 201*T2^4 + 
      728*T1*T2^4 + 609*T1^2*T2^4 - 7289*T1^3*T2^4 + 13039*T1^4*T2^4 - 
      5206*T1^5*T2^4 - 7777*T1^6*T2^4 + 16518*T1^7*T2^4 - 10633*T1^8*T2^4 + 
      1731*T1^9*T2^4 + 1073*T1^10*T2^4 - 536*T1^11*T2^4 + 67*T1^12*T2^4 + 
      165*T2^5 - 248*T1*T2^5 - 2388*T1^2*T2^5 + 8585*T1^3*T2^5 - 
      5206*T1^4*T2^5 - 18089*T1^5*T2^5 + 34342*T1^6*T2^5 - 29974*T1^7*T2^5 + 
      4531*T1^8*T2^5 + 10977*T1^9*T2^5 - 7454*T1^10*T2^5 + 1236*T1^11*T2^5 + 
      344*T1^12*T2^5 - 110*T1^13*T2^5 - 84*T2^6 - 208*T1*T2^6 + 
      2793*T1^2*T2^6 - 5048*T1^3*T2^6 - 7777*T1^4*T2^6 + 34342*T1^5*T2^6 - 
      32707*T1^6*T2^6 + 645*T1^7*T2^6 + 35437*T1^8*T2^6 - 35082*T1^9*T2^6 + 
      7983*T1^10*T2^6 + 4976*T1^11*T2^6 - 2831*T1^12*T2^6 + 208*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1363*T1^2*T2^7 - 
      1072*T1^3*T2^7 + 16518*T1^4*T2^7 - 29974*T1^5*T2^7 + 645*T1^6*T2^7 + 
      46759*T1^7*T2^7 - 59167*T1^8*T2^7 + 21152*T1^9*T2^7 + 
      24126*T1^10*T2^7 - 21829*T1^11*T2^7 + 3923*T1^12*T2^7 + 
      1409*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 154*T1^2*T2^8 + 2829*T1^3*T2^8 - 10633*T1^4*T2^8 + 
      4531*T1^5*T2^8 + 35437*T1^6*T2^8 - 59167*T1^7*T2^8 + 19512*T1^8*T2^8 + 
      39695*T1^9*T2^8 - 62833*T1^10*T2^8 + 20689*T1^11*T2^8 + 
      8191*T1^12*T2^8 - 5897*T1^13*T2^8 + 442*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1335*T1^3*T2^9 + 
      1731*T1^4*T2^9 + 10977*T1^5*T2^9 - 35082*T1^6*T2^9 + 21152*T1^7*T2^9 + 
      39695*T1^8*T2^9 - 66231*T1^9*T2^9 + 41659*T1^10*T2^9 + 
      19018*T1^11*T2^9 - 27370*T1^12*T2^9 + 6726*T1^13*T2^9 + 
      1437*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1073*T1^4*T2^10 - 7454*T1^5*T2^10 + 7983*T1^6*T2^10 + 
      24126*T1^7*T2^10 - 62833*T1^8*T2^10 + 41659*T1^9*T2^10 + 
      5311*T1^10*T2^10 - 45298*T1^11*T2^10 + 23743*T1^12*T2^10 + 
      2570*T1^13*T2^10 - 4551*T1^14*T2^10 + 640*T1^15*T2^10 + 
      140*T1^16*T2^10 - 536*T1^4*T2^11 + 1236*T1^5*T2^11 + 4976*T1^6*T2^11 - 
      21829*T1^7*T2^11 + 20689*T1^8*T2^11 + 19018*T1^9*T2^11 - 
      45298*T1^10*T2^11 + 43309*T1^11*T2^11 - 5646*T1^12*T2^11 - 
      11063*T1^13*T2^11 + 4860*T1^14*T2^11 + 56*T1^15*T2^11 - 
      275*T1^16*T2^11 + 67*T1^4*T2^12 + 344*T1^5*T2^12 - 2831*T1^6*T2^12 + 
      3923*T1^7*T2^12 + 8191*T1^8*T2^12 - 27370*T1^9*T2^12 + 
      23743*T1^10*T2^12 - 5646*T1^11*T2^12 - 15481*T1^12*T2^12 + 
      12943*T1^13*T2^12 - 2367*T1^14*T2^12 - 920*T1^15*T2^12 + 
      335*T1^16*T2^12 - 110*T1^5*T2^13 + 208*T1^6*T2^13 + 1409*T1^7*T2^13 - 
      5897*T1^8*T2^13 + 6726*T1^9*T2^13 + 2570*T1^10*T2^13 - 
      11063*T1^11*T2^13 + 12943*T1^12*T2^13 - 4721*T1^13*T2^13 - 
      1195*T1^14*T2^13 + 1304*T1^15*T2^13 - 275*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 442*T1^8*T2^14 + 1437*T1^9*T2^14 - 4551*T1^10*T2^14 + 
      4860*T1^11*T2^14 - 2367*T1^12*T2^14 - 1195*T1^13*T2^14 + 
      1954*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 640*T1^10*T2^15 + 56*T1^11*T2^15 - 
      920*T1^12*T2^15 + 1304*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 275*T1^11*T2^16 + 335*T1^12*T2^16 - 275*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 699] -> 
  {(1 - 8*T + 28*T^2 - 57*T^3 + 73*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 112*T1^2 + 228*T1^3 - 292*T1^4 + 228*T1^5 - 112*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 704*T1^2*T2 - 1152*T1^3*T2 + 
     968*T1^4*T2 - 72*T1^5*T2 - 472*T1^6*T2 + 416*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 112*T2^2 + 704*T1*T2^2 - 1654*T1^2*T2^2 + 1446*T1^3*T2^2 + 
     1222*T1^4*T2^2 - 4464*T1^5*T2^2 + 3742*T1^6*T2^2 - 1298*T1^7*T2^2 - 
     142*T1^8*T2^2 + 256*T1^9*T2^2 - 56*T1^10*T2^2 + 228*T2^3 - 
     1152*T1*T2^3 + 1446*T1^2*T2^3 + 2331*T1^3*T2^3 - 9627*T1^4*T2^3 + 
     12122*T1^5*T2^3 - 2463*T1^6*T2^3 - 4438*T1^7*T2^3 + 4185*T1^8*T2^3 - 
     1326*T1^9*T2^3 - 8*T1^10*T2^3 + 57*T1^11*T2^3 - 292*T2^4 + 968*T1*T2^4 + 
     1222*T1^2*T2^4 - 9627*T1^3*T2^4 + 16411*T1^4*T2^4 - 6421*T1^5*T2^4 - 
     18715*T1^6*T2^4 + 20311*T1^7*T2^4 - 7253*T1^8*T2^4 - 1647*T1^9*T2^4 + 
     2102*T1^10*T2^4 - 456*T1^11*T2^4 + 228*T2^5 - 72*T1*T2^5 - 
     4464*T1^2*T2^5 + 12122*T1^3*T2^5 - 6421*T1^4*T2^5 - 22831*T1^5*T2^5 + 
     48770*T1^6*T2^5 - 20050*T1^7*T2^5 - 12553*T1^8*T2^5 + 16934*T1^9*T2^5 - 
     6325*T1^10*T2^5 - 24*T1^11*T2^5 + 456*T1^12*T2^5 - 57*T1^13*T2^5 - 
     112*T2^6 - 472*T1*T2^6 + 3742*T1^2*T2^6 - 2463*T1^3*T2^6 - 
     18715*T1^4*T2^6 + 48770*T1^5*T2^6 - 40671*T1^6*T2^6 - 29005*T1^7*T2^6 + 
     58449*T1^8*T2^6 - 29790*T1^9*T2^6 - 43*T1^10*T2^6 + 6329*T1^11*T2^6 - 
     2058*T1^12*T2^6 + 8*T1^13*T2^6 + 56*T1^14*T2^6 + 32*T2^7 + 416*T1*T2^7 - 
     1298*T1^2*T2^7 - 4438*T1^3*T2^7 + 20311*T1^4*T2^7 - 20050*T1^5*T2^7 - 
     29005*T1^6*T2^7 + 97209*T1^7*T2^7 - 76557*T1^8*T2^7 + 244*T1^9*T2^7 + 
     29290*T1^10*T2^7 - 16552*T1^11*T2^7 + 1537*T1^12*T2^7 + 
     1306*T1^13*T2^7 - 256*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 142*T1^2*T2^8 + 4185*T1^3*T2^8 - 7253*T1^4*T2^8 - 
     12553*T1^5*T2^8 + 58449*T1^6*T2^8 - 76557*T1^7*T2^8 + 6684*T1^8*T2^8 + 
     72493*T1^9*T2^8 - 55825*T1^10*T2^8 + 11717*T1^11*T2^8 + 
     7267*T1^12*T2^8 - 4109*T1^13*T2^8 + 146*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 256*T1^2*T2^9 - 1326*T1^3*T2^9 - 
     1647*T1^4*T2^9 + 16934*T1^5*T2^9 - 29790*T1^6*T2^9 + 244*T1^7*T2^9 + 
     72493*T1^8*T2^9 - 101273*T1^9*T2^9 + 29493*T1^10*T2^9 + 
     19550*T1^11*T2^9 - 19929*T1^12*T2^9 + 4328*T1^13*T2^9 + 
     1278*T1^14*T2^9 - 416*T1^15*T2^9 - 32*T1^16*T2^9 - 56*T1^2*T2^10 - 
     8*T1^3*T2^10 + 2102*T1^4*T2^10 - 6325*T1^5*T2^10 - 43*T1^6*T2^10 + 
     29290*T1^7*T2^10 - 55825*T1^8*T2^10 + 29493*T1^9*T2^10 + 
     43295*T1^10*T2^10 - 49270*T1^11*T2^10 + 18629*T1^12*T2^10 + 
     2467*T1^13*T2^10 - 3698*T1^14*T2^10 + 472*T1^15*T2^10 + 
     112*T1^16*T2^10 + 57*T1^3*T2^11 - 456*T1^4*T2^11 - 24*T1^5*T2^11 + 
     6329*T1^6*T2^11 - 16552*T1^7*T2^11 + 11717*T1^8*T2^11 + 
     19550*T1^9*T2^11 - 49270*T1^10*T2^11 + 21995*T1^11*T2^11 + 
     6803*T1^12*T2^11 - 12118*T1^13*T2^11 + 4416*T1^14*T2^11 + 
     72*T1^15*T2^11 - 228*T1^16*T2^11 + 456*T1^5*T2^12 - 2058*T1^6*T2^12 + 
     1537*T1^7*T2^12 + 7267*T1^8*T2^12 - 19929*T1^9*T2^12 + 
     18629*T1^10*T2^12 + 6803*T1^11*T2^12 - 16397*T1^12*T2^12 + 
     9517*T1^13*T2^12 - 1178*T1^14*T2^12 - 968*T1^15*T2^12 + 
     292*T1^16*T2^12 - 57*T1^5*T2^13 + 8*T1^6*T2^13 + 1306*T1^7*T2^13 - 
     4109*T1^8*T2^13 + 4328*T1^9*T2^13 + 2467*T1^10*T2^13 - 
     12118*T1^11*T2^13 + 9517*T1^12*T2^13 - 2255*T1^13*T2^13 - 
     1466*T1^14*T2^13 + 1152*T1^15*T2^13 - 228*T1^16*T2^13 + 56*T1^6*T2^14 - 
     256*T1^7*T2^14 + 146*T1^8*T2^14 + 1278*T1^9*T2^14 - 3698*T1^10*T2^14 + 
     4416*T1^11*T2^14 - 1178*T1^12*T2^14 - 1466*T1^13*T2^14 + 
     1658*T1^14*T2^14 - 704*T1^15*T2^14 + 112*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 416*T1^9*T2^15 + 472*T1^10*T2^15 + 72*T1^11*T2^15 - 
     968*T1^12*T2^15 + 1152*T1^13*T2^15 - 704*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 112*T1^10*T2^16 - 
     228*T1^11*T2^16 + 292*T1^12*T2^16 - 228*T1^13*T2^16 + 112*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 700] -> 
  {(1 - 7*T + 26*T^2 - 56*T^3 + 73*T^4 - 56*T^5 + 26*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 104*T1^2 + 224*T1^3 - 292*T1^4 + 224*T1^5 - 104*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 581*T1^2*T2 - 1022*T1^3*T2 + 
     868*T1^4*T2 - 35*T1^5*T2 - 448*T1^6*T2 + 350*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 104*T2^2 + 581*T1*T2^2 - 1730*T1^2*T2^2 + 2370*T1^3*T2^2 - 
     708*T1^4*T2^2 - 2012*T1^5*T2^2 + 1736*T1^6*T2^2 - 178*T1^7*T2^2 - 
     430*T1^8*T2^2 + 217*T1^9*T2^2 - 52*T1^10*T2^2 + 224*T2^3 - 
     1022*T1*T2^3 + 2370*T1^2*T2^3 - 796*T1^3*T2^3 - 5281*T1^4*T2^3 + 
     8503*T1^5*T2^3 - 1199*T1^6*T2^3 - 3797*T1^7*T2^3 + 2774*T1^8*T2^3 - 
     542*T1^9*T2^3 - 28*T1^10*T2^3 + 56*T1^11*T2^3 - 292*T2^4 + 868*T1*T2^4 - 
     708*T1^2*T2^4 - 5281*T1^3*T2^4 + 12156*T1^4*T2^4 - 3270*T1^5*T2^4 - 
     20058*T1^6*T2^4 + 19270*T1^7*T2^4 - 5236*T1^8*T2^4 - 2033*T1^9*T2^4 + 
     1396*T1^10*T2^4 - 392*T1^11*T2^4 + 224*T2^5 - 35*T1*T2^5 - 
     2012*T1^2*T2^5 + 8503*T1^3*T2^5 - 3270*T1^4*T2^5 - 28175*T1^5*T2^5 + 
     53467*T1^6*T2^5 - 17891*T1^7*T2^5 - 15463*T1^8*T2^5 + 15623*T1^9*T2^5 - 
     4027*T1^10*T2^5 - 17*T1^11*T2^5 + 392*T1^12*T2^5 - 56*T1^13*T2^5 - 
     104*T2^6 - 448*T1*T2^6 + 1736*T1^2*T2^6 - 1199*T1^3*T2^6 - 
     20058*T1^4*T2^6 + 53467*T1^5*T2^6 - 39066*T1^6*T2^6 - 44184*T1^7*T2^6 + 
     66414*T1^8*T2^6 - 28377*T1^9*T2^6 - 1578*T1^10*T2^6 + 4261*T1^11*T2^6 - 
     1388*T1^12*T2^6 + 28*T1^13*T2^6 + 52*T1^14*T2^6 + 28*T2^7 + 
     350*T1*T2^7 - 178*T1^2*T2^7 - 3797*T1^3*T2^7 + 19270*T1^4*T2^7 - 
     17891*T1^5*T2^7 - 44184*T1^6*T2^7 + 121345*T1^7*T2^7 - 77469*T1^8*T2^7 - 
     7812*T1^9*T2^7 + 32495*T1^10*T2^7 - 14211*T1^11*T2^7 + 1775*T1^12*T2^7 + 
     550*T1^13*T2^7 - 217*T1^14*T2^7 - 21*T1^15*T2^7 - 4*T2^8 - 119*T1*T2^8 - 
     430*T1^2*T2^8 + 2774*T1^3*T2^8 - 5236*T1^4*T2^8 - 15463*T1^5*T2^8 + 
     66414*T1^6*T2^8 - 77469*T1^7*T2^8 - 19200*T1^8*T2^8 + 92113*T1^9*T2^8 - 
     62482*T1^10*T2^8 + 10927*T1^11*T2^8 + 5284*T1^12*T2^8 - 
     2686*T1^13*T2^8 + 424*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 217*T1^2*T2^9 - 542*T1^3*T2^9 - 2033*T1^4*T2^9 + 
     15623*T1^5*T2^9 - 28377*T1^6*T2^9 - 7812*T1^7*T2^9 + 92113*T1^8*T2^9 - 
     106701*T1^9*T2^9 + 28560*T1^10*T2^9 + 22009*T1^11*T2^9 - 
     17858*T1^12*T2^9 + 3539*T1^13*T2^9 + 186*T1^14*T2^9 - 350*T1^15*T2^9 - 
     28*T1^16*T2^9 - 52*T1^2*T2^10 - 28*T1^3*T2^10 + 1396*T1^4*T2^10 - 
     4027*T1^5*T2^10 - 1578*T1^6*T2^10 + 32495*T1^7*T2^10 - 
     62482*T1^8*T2^10 + 28560*T1^9*T2^10 + 42998*T1^10*T2^10 - 
     49349*T1^11*T2^10 + 16902*T1^12*T2^10 + 1433*T1^13*T2^10 - 
     1728*T1^14*T2^10 + 448*T1^15*T2^10 + 104*T1^16*T2^10 + 56*T1^3*T2^11 - 
     392*T1^4*T2^11 - 17*T1^5*T2^11 + 4261*T1^6*T2^11 - 14211*T1^7*T2^11 + 
     10927*T1^8*T2^11 + 22009*T1^9*T2^11 - 49349*T1^10*T2^11 + 
     23639*T1^11*T2^11 + 4682*T1^12*T2^11 - 8269*T1^13*T2^11 + 
     1978*T1^14*T2^11 + 35*T1^15*T2^11 - 224*T1^16*T2^11 + 392*T1^5*T2^12 - 
     1388*T1^6*T2^12 + 1775*T1^7*T2^12 + 5284*T1^8*T2^12 - 17858*T1^9*T2^12 + 
     16902*T1^10*T2^12 + 4682*T1^11*T2^12 - 12108*T1^12*T2^12 + 
     5023*T1^13*T2^12 + 716*T1^14*T2^12 - 868*T1^15*T2^12 + 292*T1^16*T2^12 - 
     56*T1^5*T2^13 + 28*T1^6*T2^13 + 550*T1^7*T2^13 - 2686*T1^8*T2^13 + 
     3539*T1^9*T2^13 + 1433*T1^10*T2^13 - 8269*T1^11*T2^13 + 
     5023*T1^12*T2^13 + 884*T1^13*T2^13 - 2362*T1^14*T2^13 + 
     1022*T1^15*T2^13 - 224*T1^16*T2^13 + 52*T1^6*T2^14 - 217*T1^7*T2^14 + 
     424*T1^8*T2^14 + 186*T1^9*T2^14 - 1728*T1^10*T2^14 + 1978*T1^11*T2^14 + 
     716*T1^12*T2^14 - 2362*T1^13*T2^14 + 1724*T1^14*T2^14 - 
     581*T1^15*T2^14 + 104*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     350*T1^9*T2^15 + 448*T1^10*T2^15 + 35*T1^11*T2^15 - 868*T1^12*T2^15 + 
     1022*T1^13*T2^15 - 581*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 104*T1^10*T2^16 - 224*T1^11*T2^16 + 
     292*T1^12*T2^16 - 224*T1^13*T2^16 + 104*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 701] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)^2*(1 - 2*T + 2*T^2))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 62*T1 - 135*T1^2 + 169*T1^3 - 135*T1^4 + 62*T1^5 - 15*T1^6 + 
      62*T2 - 232*T1*T2 + 456*T1^2*T2 - 476*T1^3*T2 + 284*T1^4*T2 - 
      44*T1^5*T2 - 32*T1^6*T2 + 22*T1^7*T2 - 135*T2^2 + 456*T1*T2^2 - 
      760*T1^2*T2^2 + 491*T1^3*T2^2 + 152*T1^4*T2^2 - 653*T1^5*T2^2 + 
      560*T1^6*T2^2 - 248*T1^7*T2^2 + 41*T1^8*T2^2 + 169*T2^3 - 476*T1*T2^3 + 
      491*T1^2*T2^3 + 390*T1^3*T2^3 - 1355*T1^4*T2^3 + 1361*T1^5*T2^3 - 
      296*T1^6*T2^3 - 545*T1^7*T2^3 + 504*T1^8*T2^3 - 167*T1^9*T2^3 - 
      135*T2^4 + 284*T1*T2^4 + 152*T1^2*T2^4 - 1355*T1^3*T2^4 + 
      1868*T1^4*T2^4 - 480*T1^5*T2^4 - 1378*T1^6*T2^4 + 1711*T1^7*T2^4 - 
      416*T1^8*T2^4 - 264*T1^9*T2^4 + 233*T1^10*T2^4 + 62*T2^5 - 44*T1*T2^5 - 
      653*T1^2*T2^5 + 1361*T1^3*T2^5 - 480*T1^4*T2^5 - 2480*T1^5*T2^5 + 
      3602*T1^6*T2^5 - 1898*T1^7*T2^5 - 953*T1^8*T2^5 + 1031*T1^9*T2^5 - 
      312*T1^10*T2^5 - 154*T1^11*T2^5 - 15*T2^6 - 32*T1*T2^6 + 
      560*T1^2*T2^6 - 296*T1^3*T2^6 - 1378*T1^4*T2^6 + 3602*T1^5*T2^6 - 
      1548*T1^6*T2^6 - 1982*T1^7*T2^6 + 4014*T1^8*T2^6 - 1512*T1^9*T2^6 - 
      80*T1^10*T2^6 + 416*T1^11*T2^6 + 49*T1^12*T2^6 + 22*T1*T2^7 - 
      248*T1^2*T2^7 - 545*T1^3*T2^7 + 1711*T1^4*T2^7 - 1898*T1^5*T2^7 - 
      1982*T1^6*T2^7 + 4100*T1^7*T2^7 - 3316*T1^8*T2^7 - 603*T1^9*T2^7 + 
      1139*T1^10*T2^7 - 516*T1^11*T2^7 - 194*T1^12*T2^7 + 41*T1^2*T2^8 + 
      504*T1^3*T2^8 - 416*T1^4*T2^8 - 953*T1^5*T2^8 + 4014*T1^6*T2^8 - 
      3316*T1^7*T2^8 + 768*T1^8*T2^8 + 2113*T1^9*T2^8 - 984*T1^10*T2^8 - 
      44*T1^11*T2^8 + 409*T1^12*T2^8 - 167*T1^3*T2^9 - 264*T1^4*T2^9 + 
      1031*T1^5*T2^9 - 1512*T1^6*T2^9 - 603*T1^7*T2^9 + 2113*T1^8*T2^9 - 
      2198*T1^9*T2^9 - 5*T1^10*T2^9 + 716*T1^11*T2^9 - 503*T1^12*T2^9 + 
      233*T1^4*T2^10 - 312*T1^5*T2^10 - 80*T1^6*T2^10 + 1139*T1^7*T2^10 - 
      984*T1^8*T2^10 - 5*T1^9*T2^10 + 1240*T1^10*T2^10 - 1016*T1^11*T2^10 + 
      409*T1^12*T2^10 - 154*T1^5*T2^11 + 416*T1^6*T2^11 - 516*T1^7*T2^11 - 
      44*T1^8*T2^11 + 716*T1^9*T2^11 - 1016*T1^10*T2^11 + 616*T1^11*T2^11 - 
      194*T1^12*T2^11 + 49*T1^6*T2^12 - 194*T1^7*T2^12 + 409*T1^8*T2^12 - 
      503*T1^9*T2^12 + 409*T1^10*T2^12 - 194*T1^11*T2^12 + 49*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 702] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-2 + 14*T1 - 40*T1^2 + 68*T1^3 - 82*T1^4 + 68*T1^5 - 40*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 231*T1^2*T2 - 336*T1^3*T2 + 336*T1^4*T2 - 
     189*T1^5*T2 + 42*T1^6*T2 + 42*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     40*T2^2 + 231*T1*T2^2 - 454*T1^2*T2^2 + 369*T1^3*T2^2 + 44*T1^4*T2^2 - 
     676*T1^5*T2^2 + 884*T1^6*T2^2 - 711*T1^7*T2^2 + 306*T1^8*T2^2 - 
     49*T1^9*T2^2 + 68*T2^3 - 336*T1*T2^3 + 369*T1^2*T2^3 + 472*T1^3*T2^3 - 
     1729*T1^4*T2^3 + 2775*T1^5*T2^3 - 2217*T1^6*T2^3 + 935*T1^7*T2^3 + 
     262*T1^8*T2^3 - 551*T1^9*T2^3 + 238*T1^10*T2^3 - 34*T1^11*T2^3 - 
     82*T2^4 + 336*T1*T2^4 + 44*T1^2*T2^4 - 1729*T1^3*T2^4 + 3135*T1^4*T2^4 - 
     3062*T1^5*T2^4 + 145*T1^6*T2^4 + 2506*T1^7*T2^4 - 3157*T1^8*T2^4 + 
     1739*T1^9*T2^4 - 8*T1^10*T2^4 - 336*T1^11*T2^4 + 82*T1^12*T2^4 + 
     68*T2^5 - 189*T1*T2^5 - 676*T1^2*T2^5 + 2775*T1^3*T2^5 - 
     3062*T1^4*T2^5 + 641*T1^5*T2^5 + 3942*T1^6*T2^5 - 5154*T1^7*T2^5 + 
     1983*T1^8*T2^5 + 1743*T1^9*T2^5 - 3225*T1^10*T2^5 + 1271*T1^11*T2^5 + 
     140*T1^12*T2^5 - 102*T1^13*T2^5 - 40*T2^6 + 42*T1*T2^6 + 884*T1^2*T2^6 - 
     2217*T1^3*T2^6 + 145*T1^4*T2^6 + 3942*T1^5*T2^6 - 6357*T1^6*T2^6 + 
     2605*T1^7*T2^6 + 4659*T1^8*T2^6 - 6338*T1^9*T2^6 + 3857*T1^10*T2^6 + 
     1263*T1^11*T2^6 - 1740*T1^12*T2^6 + 154*T1^13*T2^6 + 80*T1^14*T2^6 + 
     14*T2^7 + 42*T1*T2^7 - 711*T1^2*T2^7 + 935*T1^3*T2^7 + 2506*T1^4*T2^7 - 
     5154*T1^5*T2^7 + 2605*T1^6*T2^7 + 3783*T1^7*T2^7 - 9115*T1^8*T2^7 + 
     3481*T1^9*T2^7 + 1574*T1^10*T2^7 - 5351*T1^11*T2^7 + 1487*T1^12*T2^7 + 
     1169*T1^13*T2^7 - 315*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     306*T1^2*T2^8 + 262*T1^3*T2^8 - 3157*T1^4*T2^8 + 1983*T1^5*T2^8 + 
     4659*T1^6*T2^8 - 9115*T1^7*T2^8 + 9144*T1^8*T2^8 + 1767*T1^9*T2^8 - 
     3601*T1^10*T2^8 + 3293*T1^11*T2^8 + 2991*T1^12*T2^8 - 3018*T1^13*T2^8 + 
     8*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 551*T1^3*T2^9 + 1739*T1^4*T2^9 + 1743*T1^5*T2^9 - 
     6338*T1^6*T2^9 + 3481*T1^7*T2^9 + 1767*T1^8*T2^9 - 11131*T1^9*T2^9 + 
     4357*T1^10*T2^9 + 390*T1^11*T2^9 - 6114*T1^12*T2^9 + 2291*T1^13*T2^9 + 
     1329*T1^14*T2^9 - 406*T1^15*T2^9 - 42*T1^16*T2^9 + 238*T1^3*T2^10 - 
     8*T1^4*T2^10 - 3225*T1^5*T2^10 + 3857*T1^6*T2^10 + 1574*T1^7*T2^10 - 
     3601*T1^8*T2^10 + 4357*T1^9*T2^10 + 7415*T1^10*T2^10 - 
     8706*T1^11*T2^10 + 7569*T1^12*T2^10 + 255*T1^13*T2^10 - 
     2632*T1^14*T2^10 + 350*T1^15*T2^10 + 120*T1^16*T2^10 - 34*T1^3*T2^11 - 
     336*T1^4*T2^11 + 1271*T1^5*T2^11 + 1263*T1^6*T2^11 - 5351*T1^7*T2^11 + 
     3293*T1^8*T2^11 + 390*T1^9*T2^11 - 8706*T1^10*T2^11 + 4635*T1^11*T2^11 - 
     546*T1^12*T2^11 - 4737*T1^13*T2^11 + 3218*T1^14*T2^11 - 7*T1^15*T2^11 - 
     204*T1^16*T2^11 + 82*T1^4*T2^12 + 140*T1^5*T2^12 - 1740*T1^6*T2^12 + 
     1487*T1^7*T2^12 + 2991*T1^8*T2^12 - 6114*T1^9*T2^12 + 7569*T1^10*T2^12 - 
     546*T1^11*T2^12 - 3301*T1^12*T2^12 + 4955*T1^13*T2^12 - 
     1792*T1^14*T2^12 - 532*T1^15*T2^12 + 246*T1^16*T2^12 - 102*T1^5*T2^13 + 
     154*T1^6*T2^13 + 1169*T1^7*T2^13 - 3018*T1^8*T2^13 + 2291*T1^9*T2^13 + 
     255*T1^10*T2^13 - 4737*T1^11*T2^13 + 4955*T1^12*T2^13 - 
     3228*T1^13*T2^13 + 249*T1^14*T2^13 + 728*T1^15*T2^13 - 204*T1^16*T2^13 + 
     80*T1^6*T2^14 - 315*T1^7*T2^14 + 8*T1^8*T2^14 + 1329*T1^9*T2^14 - 
     2632*T1^10*T2^14 + 3218*T1^11*T2^14 - 1792*T1^12*T2^14 + 
     249*T1^13*T2^14 + 768*T1^14*T2^14 - 595*T1^15*T2^14 + 120*T1^16*T2^14 - 
     35*T1^7*T2^15 + 203*T1^8*T2^15 - 406*T1^9*T2^15 + 350*T1^10*T2^15 - 
     7*T1^11*T2^15 - 532*T1^12*T2^15 + 728*T1^13*T2^15 - 595*T1^14*T2^15 + 
     259*T1^15*T2^15 - 42*T1^16*T2^15 + 6*T1^8*T2^16 - 42*T1^9*T2^16 + 
     120*T1^10*T2^16 - 204*T1^11*T2^16 + 246*T1^12*T2^16 - 204*T1^13*T2^16 + 
     120*T1^14*T2^16 - 42*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 703] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 23*T^2 - 33*T^3 + 23*T^4 - 8*T^5 + T^6))/T^4), 
   -((-3 + 27*T1 - 96*T1^2 + 192*T1^3 - 237*T1^4 + 192*T1^5 - 96*T1^6 + 
      27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 702*T1^2*T2 - 1152*T1^3*T2 + 
      981*T1^4*T2 - 306*T1^5*T2 - 288*T1^6*T2 + 333*T1^7*T2 - 135*T1^8*T2 + 
      18*T1^9*T2 - 96*T2^2 + 702*T1*T2^2 - 1638*T1^2*T2^2 + 1210*T1^3*T2^2 + 
      1844*T1^4*T2^2 - 4712*T1^5*T2^2 + 4852*T1^6*T2^2 - 2310*T1^7*T2^2 + 
      346*T1^8*T2^2 + 126*T1^9*T2^2 - 32*T1^10*T2^2 + 192*T2^3 - 
      1152*T1*T2^3 + 1210*T1^2*T2^3 + 3694*T1^3*T2^3 - 12690*T1^4*T2^3 + 
      14880*T1^5*T2^3 - 7872*T1^6*T2^3 - 1938*T1^7*T2^3 + 4366*T1^8*T2^3 - 
      2054*T1^9*T2^3 + 288*T1^10*T2^3 - 237*T2^4 + 981*T1*T2^4 + 
      1844*T1^2*T2^4 - 12690*T1^3*T2^4 + 22359*T1^4*T2^4 - 10557*T1^5*T2^4 - 
      12875*T1^6*T2^4 + 26207*T1^7*T2^4 - 16353*T1^8*T2^4 + 2798*T1^9*T2^4 + 
      1588*T1^10*T2^4 - 711*T1^11*T2^4 + 79*T1^12*T2^4 + 192*T2^5 - 
      306*T1*T2^5 - 4712*T1^2*T2^5 + 14880*T1^3*T2^5 - 10557*T1^4*T2^5 - 
      25703*T1^5*T2^5 + 55670*T1^6*T2^5 - 45546*T1^7*T2^5 + 4001*T1^8*T2^5 + 
      18840*T1^9*T2^5 - 12416*T1^10*T2^5 + 2197*T1^11*T2^5 + 441*T1^12*T2^5 - 
      128*T1^13*T2^5 - 96*T2^6 - 288*T1*T2^6 + 4852*T1^2*T2^6 - 
      7872*T1^3*T2^6 - 12875*T1^4*T2^6 + 55670*T1^5*T2^6 - 57402*T1^6*T2^6 - 
      1054*T1^7*T2^6 + 59462*T1^8*T2^6 - 54986*T1^9*T2^6 + 11573*T1^10*T2^6 + 
      8064*T1^11*T2^6 - 4684*T1^12*T2^6 + 288*T1^13*T2^6 + 96*T1^14*T2^6 + 
      27*T2^7 + 333*T1*T2^7 - 2310*T1^2*T2^7 - 1938*T1^3*T2^7 + 
      26207*T1^4*T2^7 - 45546*T1^5*T2^7 - 1054*T1^6*T2^7 + 87255*T1^7*T2^7 - 
      104339*T1^8*T2^7 + 35234*T1^9*T2^7 + 36790*T1^10*T2^7 - 
      32658*T1^11*T2^7 + 6254*T1^12*T2^7 + 2490*T1^13*T2^7 - 540*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 346*T1^2*T2^8 + 4366*T1^3*T2^8 - 
      16353*T1^4*T2^8 + 4001*T1^5*T2^8 + 59462*T1^6*T2^8 - 104339*T1^7*T2^8 + 
      33972*T1^8*T2^8 + 70399*T1^9*T2^8 - 102458*T1^10*T2^8 + 
      33691*T1^11*T2^8 + 10519*T1^12*T2^8 - 9266*T1^13*T2^8 + 
      324*T1^14*T2^8 + 279*T1^15*T2^8 + 5*T1^16*T2^8 + 18*T1*T2^9 + 
      126*T1^2*T2^9 - 2054*T1^3*T2^9 + 2798*T1^4*T2^9 + 18840*T1^5*T2^9 - 
      54986*T1^6*T2^9 + 35234*T1^7*T2^9 + 70399*T1^8*T2^9 - 
      121195*T1^9*T2^9 + 71522*T1^10*T2^9 + 27350*T1^11*T2^9 - 
      40025*T1^12*T2^9 + 10990*T1^13*T2^9 + 2746*T1^14*T2^9 - 
      747*T1^15*T2^9 - 45*T1^16*T2^9 - 32*T1^2*T2^10 + 288*T1^3*T2^10 + 
      1588*T1^4*T2^10 - 12416*T1^5*T2^10 + 11573*T1^6*T2^10 + 
      36790*T1^7*T2^10 - 102458*T1^8*T2^10 + 71522*T1^9*T2^10 + 
      14406*T1^10*T2^10 - 73866*T1^11*T2^10 + 36021*T1^12*T2^10 + 
      3520*T1^13*T2^10 - 7948*T1^14*T2^10 + 864*T1^15*T2^10 + 
      160*T1^16*T2^10 - 711*T1^4*T2^11 + 2197*T1^5*T2^11 + 8064*T1^6*T2^11 - 
      32658*T1^7*T2^11 + 33691*T1^8*T2^11 + 27350*T1^9*T2^11 - 
      73866*T1^10*T2^11 + 63395*T1^11*T2^11 - 3261*T1^12*T2^11 - 
      19232*T1^13*T2^11 + 9106*T1^14*T2^11 + 36*T1^15*T2^11 - 
      320*T1^16*T2^11 + 79*T1^4*T2^12 + 441*T1^5*T2^12 - 4684*T1^6*T2^12 + 
      6254*T1^7*T2^12 + 10519*T1^8*T2^12 - 40025*T1^9*T2^12 + 
      36021*T1^10*T2^12 - 3261*T1^11*T2^12 - 28193*T1^12*T2^12 + 
      21742*T1^13*T2^12 - 4940*T1^14*T2^12 - 1251*T1^15*T2^12 + 
      395*T1^16*T2^12 - 128*T1^5*T2^13 + 288*T1^6*T2^13 + 2490*T1^7*T2^13 - 
      9266*T1^8*T2^13 + 10990*T1^9*T2^13 + 3520*T1^10*T2^13 - 
      19232*T1^11*T2^13 + 21742*T1^12*T2^13 - 8594*T1^13*T2^13 - 
      774*T1^14*T2^13 + 1728*T1^15*T2^13 - 320*T1^16*T2^13 + 96*T1^6*T2^14 - 
      540*T1^7*T2^14 + 324*T1^8*T2^14 + 2746*T1^9*T2^14 - 7948*T1^10*T2^14 + 
      9106*T1^11*T2^14 - 4940*T1^12*T2^14 - 774*T1^13*T2^14 + 
      2308*T1^14*T2^14 - 1116*T1^15*T2^14 + 160*T1^16*T2^14 - 36*T1^7*T2^15 + 
      279*T1^8*T2^15 - 747*T1^9*T2^15 + 864*T1^10*T2^15 + 36*T1^11*T2^15 - 
      1251*T1^12*T2^15 + 1728*T1^13*T2^15 - 1116*T1^14*T2^15 + 
      369*T1^15*T2^15 - 45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 
      160*T1^10*T2^16 - 320*T1^11*T2^16 + 395*T1^12*T2^16 - 320*T1^13*T2^16 + 
      160*T1^14*T2^16 - 45*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 704] -> 
  {-((1 - 8*T + 24*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 24*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 72*T1^2 + 129*T1^3 - 153*T1^4 + 129*T1^5 - 
      72*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 449*T1^2*T2 - 
      651*T1^3*T2 + 538*T1^4*T2 - 214*T1^5*T2 - 115*T1^6*T2 + 193*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 72*T2^2 + 449*T1*T2^2 - 734*T1^2*T2^2 + 
      223*T1^3*T2^2 + 1273*T1^4*T2^2 - 2434*T1^5*T2^2 + 2569*T1^6*T2^2 - 
      1457*T1^7*T2^2 + 370*T1^8*T2^2 + 65*T1^9*T2^2 - 24*T1^10*T2^2 + 
      129*T2^3 - 651*T1*T2^3 + 223*T1^2*T2^3 + 2123*T1^3*T2^3 - 
      5349*T1^4*T2^3 + 5788*T1^5*T2^3 - 3617*T1^6*T2^3 - 96*T1^7*T2^3 + 
      1655*T1^8*T2^3 - 1145*T1^9*T2^3 + 189*T1^10*T2^3 - 153*T2^4 + 
      538*T1*T2^4 + 1273*T1^2*T2^4 - 5349*T1^3*T2^4 + 8225*T1^4*T2^4 - 
      4606*T1^5*T2^4 - 1501*T1^6*T2^4 + 6830*T1^7*T2^4 - 5655*T1^8*T2^4 + 
      1703*T1^9*T2^4 + 665*T1^10*T2^4 - 406*T1^11*T2^4 + 51*T1^12*T2^4 + 
      129*T2^5 - 214*T1*T2^5 - 2434*T1^2*T2^5 + 5788*T1^3*T2^5 - 
      4606*T1^4*T2^5 - 4325*T1^5*T2^5 + 10801*T1^6*T2^5 - 11079*T1^7*T2^5 + 
      2063*T1^8*T2^5 + 5261*T1^9*T2^5 - 5055*T1^10*T2^5 + 1166*T1^11*T2^5 + 
      282*T1^12*T2^5 - 86*T1^13*T2^5 - 72*T2^6 - 115*T1*T2^6 + 
      2569*T1^2*T2^6 - 3617*T1^3*T2^6 - 1501*T1^4*T2^6 + 10801*T1^5*T2^6 - 
      10753*T1^6*T2^6 + 2055*T1^7*T2^6 + 10495*T1^8*T2^6 - 12271*T1^9*T2^6 + 
      2979*T1^10*T2^6 + 3631*T1^11*T2^6 - 2535*T1^12*T2^6 + 109*T1^13*T2^6 + 
      72*T1^14*T2^6 + 24*T2^7 + 193*T1*T2^7 - 1457*T1^2*T2^7 - 96*T1^3*T2^7 + 
      6830*T1^4*T2^7 - 11079*T1^5*T2^7 + 2055*T1^6*T2^7 + 11673*T1^7*T2^7 - 
      17253*T1^8*T2^7 + 7218*T1^9*T2^7 + 8417*T1^10*T2^7 - 9313*T1^11*T2^7 + 
      1847*T1^12*T2^7 + 1783*T1^13*T2^7 - 319*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 370*T1^2*T2^8 + 1655*T1^3*T2^8 - 
      5655*T1^4*T2^8 + 2063*T1^5*T2^8 + 10495*T1^6*T2^8 - 17253*T1^7*T2^8 + 
      6552*T1^8*T2^8 + 10721*T1^9*T2^8 - 20055*T1^10*T2^8 + 7285*T1^11*T2^8 + 
      3953*T1^12*T2^8 - 4207*T1^13*T2^8 - 206*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 65*T1^2*T2^9 - 1145*T1^3*T2^9 + 
      1703*T1^4*T2^9 + 5261*T1^5*T2^9 - 12271*T1^6*T2^9 + 7218*T1^7*T2^9 + 
      10721*T1^8*T2^9 - 18205*T1^9*T2^9 + 12381*T1^10*T2^9 + 
      7225*T1^11*T2^9 - 10882*T1^12*T2^9 + 3646*T1^13*T2^9 + 
      2095*T1^14*T2^9 - 447*T1^15*T2^9 - 40*T1^16*T2^9 - 24*T1^2*T2^10 + 
      189*T1^3*T2^10 + 665*T1^4*T2^10 - 5055*T1^5*T2^10 + 2979*T1^6*T2^10 + 
      8417*T1^7*T2^10 - 20055*T1^8*T2^10 + 12381*T1^9*T2^10 + 
      1193*T1^10*T2^10 - 14655*T1^11*T2^10 + 7459*T1^12*T2^10 + 
      2193*T1^13*T2^10 - 4439*T1^14*T2^10 + 413*T1^15*T2^10 + 
      120*T1^16*T2^10 - 406*T1^4*T2^11 + 1166*T1^5*T2^11 + 3631*T1^6*T2^11 - 
      9313*T1^7*T2^11 + 7285*T1^8*T2^11 + 7225*T1^9*T2^11 - 
      14655*T1^10*T2^11 + 13673*T1^11*T2^11 + 554*T1^12*T2^11 - 
      7212*T1^13*T2^11 + 4766*T1^14*T2^11 + 90*T1^15*T2^11 - 
      215*T1^16*T2^11 + 51*T1^4*T2^12 + 282*T1^5*T2^12 - 2535*T1^6*T2^12 + 
      1847*T1^7*T2^12 + 3953*T1^8*T2^12 - 10882*T1^9*T2^12 + 
      7459*T1^10*T2^12 + 554*T1^11*T2^12 - 9927*T1^12*T2^12 + 
      8899*T1^13*T2^12 - 3143*T1^14*T2^12 - 662*T1^15*T2^12 + 
      255*T1^16*T2^12 - 86*T1^5*T2^13 + 109*T1^6*T2^13 + 1783*T1^7*T2^13 - 
      4207*T1^8*T2^13 + 3646*T1^9*T2^13 + 2193*T1^10*T2^13 - 
      7212*T1^11*T2^13 + 8899*T1^12*T2^13 - 4675*T1^13*T2^13 + 
      415*T1^14*T2^13 + 949*T1^15*T2^13 - 215*T1^16*T2^13 + 72*T1^6*T2^14 - 
      319*T1^7*T2^14 - 206*T1^8*T2^14 + 2095*T1^9*T2^14 - 4439*T1^10*T2^14 + 
      4766*T1^11*T2^14 - 3143*T1^12*T2^14 + 415*T1^13*T2^14 + 
      898*T1^14*T2^14 - 703*T1^15*T2^14 + 120*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 447*T1^9*T2^15 + 413*T1^10*T2^15 + 90*T1^11*T2^15 - 
      662*T1^12*T2^15 + 949*T1^13*T2^15 - 703*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 120*T1^10*T2^16 - 
      215*T1^11*T2^16 + 255*T1^12*T2^16 - 215*T1^13*T2^16 + 120*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 705] -> 
  {(1 - 9*T + 33*T^2 - 68*T^3 + 87*T^4 - 68*T^5 + 33*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 132*T1^2 + 272*T1^3 - 348*T1^4 + 272*T1^5 - 132*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 945*T1^2*T2 - 1557*T1^3*T2 + 
     1296*T1^4*T2 - 99*T1^5*T2 - 648*T1^6*T2 + 567*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 132*T2^2 + 945*T1*T2^2 - 2234*T1^2*T2^2 + 1546*T1^3*T2^2 + 
     2872*T1^4*T2^2 - 7690*T1^5*T2^2 + 6436*T1^6*T2^2 - 2348*T1^7*T2^2 - 
     122*T1^8*T2^2 + 351*T1^9*T2^2 - 66*T1^10*T2^2 + 272*T2^3 - 
     1557*T1*T2^3 + 1546*T1^2*T2^3 + 5655*T1^3*T2^3 - 17980*T1^4*T2^3 + 
     20903*T1^5*T2^3 - 4528*T1^6*T2^3 - 7567*T1^7*T2^3 + 7257*T1^8*T2^3 - 
     2216*T1^9*T2^3 - 18*T1^10*T2^3 + 68*T1^11*T2^3 - 348*T2^4 + 
     1296*T1*T2^4 + 2872*T1^2*T2^4 - 17980*T1^3*T2^4 + 28183*T1^4*T2^4 - 
     7808*T1^5*T2^4 - 35129*T1^6*T2^4 + 37756*T1^7*T2^4 - 14105*T1^8*T2^4 - 
     2476*T1^9*T2^4 + 3340*T1^10*T2^4 - 612*T1^11*T2^4 + 272*T2^5 - 
     99*T1*T2^5 - 7690*T1^2*T2^5 + 20903*T1^3*T2^5 - 7808*T1^4*T2^5 - 
     46491*T1^5*T2^5 + 88534*T1^6*T2^5 - 36317*T1^7*T2^5 - 21891*T1^8*T2^5 + 
     30445*T1^9*T2^5 - 11054*T1^10*T2^5 - 13*T1^11*T2^5 + 612*T1^12*T2^5 - 
     68*T1^13*T2^5 - 132*T2^6 - 648*T1*T2^6 + 6436*T1^2*T2^6 - 
     4528*T1^3*T2^6 - 35129*T1^4*T2^6 + 88534*T1^5*T2^6 - 68158*T1^6*T2^6 - 
     55872*T1^7*T2^6 + 103814*T1^8*T2^6 - 53180*T1^9*T2^6 - 623*T1^10*T2^6 + 
     11114*T1^11*T2^6 - 3320*T1^12*T2^6 + 18*T1^13*T2^6 + 66*T1^14*T2^6 + 
     36*T2^7 + 567*T1*T2^7 - 2348*T1^2*T2^7 - 7567*T1^3*T2^7 + 
     37756*T1^4*T2^7 - 36317*T1^5*T2^7 - 55872*T1^6*T2^7 + 172848*T1^7*T2^7 - 
     125940*T1^8*T2^7 - 4242*T1^9*T2^7 + 54808*T1^10*T2^7 - 
     29741*T1^11*T2^7 + 2384*T1^12*T2^7 + 2206*T1^13*T2^7 - 351*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 122*T1^2*T2^8 + 7257*T1^3*T2^8 - 
     14105*T1^4*T2^8 - 21891*T1^5*T2^8 + 103814*T1^6*T2^8 - 
     125940*T1^7*T2^8 - 7116*T1^8*T2^8 + 131928*T1^9*T2^8 - 
     99986*T1^10*T2^8 + 19575*T1^11*T2^8 + 14059*T1^12*T2^8 - 
     7205*T1^13*T2^8 + 124*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 351*T1^2*T2^9 - 2216*T1^3*T2^9 - 2476*T1^4*T2^9 + 
     30445*T1^5*T2^9 - 53180*T1^6*T2^9 - 4242*T1^7*T2^9 + 131928*T1^8*T2^9 - 
     166860*T1^9*T2^9 + 47388*T1^10*T2^9 + 37945*T1^11*T2^9 - 
     37052*T1^12*T2^9 + 7475*T1^13*T2^9 + 2338*T1^14*T2^9 - 567*T1^15*T2^9 - 
     36*T1^16*T2^9 - 66*T1^2*T2^10 - 18*T1^3*T2^10 + 3340*T1^4*T2^10 - 
     11054*T1^5*T2^10 - 623*T1^6*T2^10 + 54808*T1^7*T2^10 - 
     99986*T1^8*T2^10 + 47388*T1^9*T2^10 + 71986*T1^10*T2^10 - 
     86906*T1^11*T2^10 + 33883*T1^12*T2^10 + 4588*T1^13*T2^10 - 
     6416*T1^14*T2^10 + 648*T1^15*T2^10 + 132*T1^16*T2^10 + 68*T1^3*T2^11 - 
     612*T1^4*T2^11 - 13*T1^5*T2^11 + 11114*T1^6*T2^11 - 29741*T1^7*T2^11 + 
     19575*T1^8*T2^11 + 37945*T1^9*T2^11 - 86906*T1^10*T2^11 + 
     44175*T1^11*T2^11 + 8512*T1^12*T2^11 - 20843*T1^13*T2^11 + 
     7664*T1^14*T2^11 + 99*T1^15*T2^11 - 272*T1^16*T2^11 + 612*T1^5*T2^12 - 
     3320*T1^6*T2^12 + 2384*T1^7*T2^12 + 14059*T1^8*T2^12 - 
     37052*T1^9*T2^12 + 33883*T1^10*T2^12 + 8512*T1^11*T2^12 - 
     28229*T1^12*T2^12 + 17888*T1^13*T2^12 - 2852*T1^14*T2^12 - 
     1296*T1^15*T2^12 + 348*T1^16*T2^12 - 68*T1^5*T2^13 + 18*T1^6*T2^13 + 
     2206*T1^7*T2^13 - 7205*T1^8*T2^13 + 7475*T1^9*T2^13 + 4588*T1^10*T2^13 - 
     20843*T1^11*T2^13 + 17888*T1^12*T2^13 - 5603*T1^13*T2^13 - 
     1556*T1^14*T2^13 + 1557*T1^15*T2^13 - 272*T1^16*T2^13 + 66*T1^6*T2^14 - 
     351*T1^7*T2^14 + 124*T1^8*T2^14 + 2338*T1^9*T2^14 - 6416*T1^10*T2^14 + 
     7664*T1^11*T2^14 - 2852*T1^12*T2^14 - 1556*T1^13*T2^14 + 
     2236*T1^14*T2^14 - 945*T1^15*T2^14 + 132*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 567*T1^9*T2^15 + 648*T1^10*T2^15 + 99*T1^11*T2^15 - 
     1296*T1^12*T2^15 + 1557*T1^13*T2^15 - 945*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     132*T1^10*T2^16 - 272*T1^11*T2^16 + 348*T1^12*T2^16 - 272*T1^13*T2^16 + 
     132*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 706] -> 
  {((1 - T + T^2)*(1 - 6*T + 17*T^2 - 23*T^3 + 17*T^4 - 6*T^5 + T^6))/T^4, 
   (-4 + 28*T1 - 96*T1^2 + 184*T1^3 - 228*T1^4 + 184*T1^5 - 96*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 525*T1^2*T2 - 784*T1^3*T2 + 
     630*T1^4*T2 - 91*T1^5*T2 - 294*T1^6*T2 + 308*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 96*T2^2 + 525*T1*T2^2 - 1324*T1^2*T2^2 + 1221*T1^3*T2^2 + 
     143*T1^4*T2^2 - 1762*T1^5*T2^2 + 1727*T1^6*T2^2 - 651*T1^7*T2^2 - 
     220*T1^8*T2^2 + 189*T1^9*T2^2 - 48*T1^10*T2^2 + 184*T2^3 - 784*T1*T2^3 + 
     1221*T1^2*T2^3 + 1370*T1^3*T2^3 - 4998*T1^4*T2^3 + 5940*T1^5*T2^3 - 
     1704*T1^6*T2^3 - 2070*T1^7*T2^3 + 2648*T1^8*T2^3 - 747*T1^9*T2^3 + 
     14*T1^10*T2^3 + 46*T1^11*T2^3 - 228*T2^4 + 630*T1*T2^4 + 143*T1^2*T2^4 - 
     4998*T1^3*T2^4 + 5873*T1^4*T2^4 + 1009*T1^5*T2^4 - 12351*T1^6*T2^4 + 
     13369*T1^7*T2^4 - 6475*T1^8*T2^4 - 674*T1^9*T2^4 + 1107*T1^10*T2^4 - 
     322*T1^11*T2^4 + 184*T2^5 - 91*T1*T2^5 - 1762*T1^2*T2^5 + 
     5940*T1^3*T2^5 + 1009*T1^4*T2^5 - 15399*T1^5*T2^5 + 24852*T1^6*T2^5 - 
     12200*T1^7*T2^5 - 3917*T1^8*T2^5 + 9934*T1^9*T2^5 - 3376*T1^10*T2^5 - 
     7*T1^11*T2^5 + 322*T1^12*T2^5 - 46*T1^13*T2^5 - 96*T2^6 - 294*T1*T2^6 + 
     1727*T1^2*T2^6 - 1704*T1^3*T2^6 - 12351*T1^4*T2^6 + 24852*T1^5*T2^6 - 
     20099*T1^6*T2^6 - 8181*T1^7*T2^6 + 23269*T1^8*T2^6 - 16348*T1^9*T2^6 - 
     463*T1^10*T2^6 + 3432*T1^11*T2^6 - 1097*T1^12*T2^6 - 14*T1^13*T2^6 + 
     48*T1^14*T2^6 + 28*T2^7 + 308*T1*T2^7 - 651*T1^2*T2^7 - 2070*T1^3*T2^7 + 
     13369*T1^4*T2^7 - 12200*T1^5*T2^7 - 8181*T1^6*T2^7 + 34973*T1^7*T2^7 - 
     28901*T1^8*T2^7 + 1695*T1^9*T2^7 + 16556*T1^10*T2^7 - 9296*T1^11*T2^7 + 
     586*T1^12*T2^7 + 741*T1^13*T2^7 - 189*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 - 220*T1^2*T2^8 + 2648*T1^3*T2^8 - 6475*T1^4*T2^8 - 
     3917*T1^5*T2^8 + 23269*T1^6*T2^8 - 28901*T1^7*T2^8 + 1140*T1^8*T2^8 + 
     27605*T1^9*T2^8 - 26087*T1^10*T2^8 + 3825*T1^11*T2^8 + 6129*T1^12*T2^8 - 
     2560*T1^13*T2^8 + 218*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 189*T1^2*T2^9 - 747*T1^3*T2^9 - 674*T1^4*T2^9 + 
     9934*T1^5*T2^9 - 16348*T1^6*T2^9 + 1695*T1^7*T2^9 + 27605*T1^8*T2^9 - 
     36269*T1^9*T2^9 + 11571*T1^10*T2^9 + 12408*T1^11*T2^9 - 
     12731*T1^12*T2^9 + 1982*T1^13*T2^9 + 645*T1^14*T2^9 - 308*T1^15*T2^9 - 
     28*T1^16*T2^9 - 48*T1^2*T2^10 + 14*T1^3*T2^10 + 1107*T1^4*T2^10 - 
     3376*T1^5*T2^10 - 463*T1^6*T2^10 + 16556*T1^7*T2^10 - 26087*T1^8*T2^10 + 
     11571*T1^9*T2^10 + 17281*T1^10*T2^10 - 24644*T1^11*T2^10 + 
     11425*T1^12*T2^10 + 1760*T1^13*T2^10 - 1717*T1^14*T2^10 + 
     294*T1^15*T2^10 + 96*T1^16*T2^10 + 46*T1^3*T2^11 - 322*T1^4*T2^11 - 
     7*T1^5*T2^11 + 3432*T1^6*T2^11 - 9296*T1^7*T2^11 + 3825*T1^8*T2^11 + 
     12408*T1^9*T2^11 - 24644*T1^10*T2^11 + 15307*T1^11*T2^11 - 
     371*T1^12*T2^11 - 5884*T1^13*T2^11 + 1748*T1^14*T2^11 + 91*T1^15*T2^11 - 
     184*T1^16*T2^11 + 322*T1^5*T2^12 - 1097*T1^6*T2^12 + 586*T1^7*T2^12 + 
     6129*T1^8*T2^12 - 12731*T1^9*T2^12 + 11425*T1^10*T2^12 - 
     371*T1^11*T2^12 - 6219*T1^12*T2^12 + 4910*T1^13*T2^12 - 
     133*T1^14*T2^12 - 630*T1^15*T2^12 + 228*T1^16*T2^12 - 46*T1^5*T2^13 - 
     14*T1^6*T2^13 + 741*T1^7*T2^13 - 2560*T1^8*T2^13 + 1982*T1^9*T2^13 + 
     1760*T1^10*T2^13 - 5884*T1^11*T2^13 + 4910*T1^12*T2^13 - 
     1282*T1^13*T2^13 - 1227*T1^14*T2^13 + 784*T1^15*T2^13 - 
     184*T1^16*T2^13 + 48*T1^6*T2^14 - 189*T1^7*T2^14 + 218*T1^8*T2^14 + 
     645*T1^9*T2^14 - 1717*T1^10*T2^14 + 1748*T1^11*T2^14 - 133*T1^12*T2^14 - 
     1227*T1^13*T2^14 + 1322*T1^14*T2^14 - 525*T1^15*T2^14 + 96*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 308*T1^9*T2^15 + 294*T1^10*T2^15 + 
     91*T1^11*T2^15 - 630*T1^12*T2^15 + 784*T1^13*T2^15 - 525*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     96*T1^10*T2^16 - 184*T1^11*T2^16 + 228*T1^12*T2^16 - 184*T1^13*T2^16 + 
     96*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 707] -> 
  {(1 - 8*T + 29*T^2 - 59*T^3 + 75*T^4 - 59*T^5 + 29*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 236*T1^3 - 300*T1^4 + 236*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1192*T1^3*T2 + 
     984*T1^4*T2 - 88*T1^5*T2 - 488*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1885*T1^2*T2^2 + 1739*T1^3*T2^2 + 
     948*T1^4*T2^2 - 4133*T1^5*T2^2 + 3616*T1^6*T2^2 - 1219*T1^7*T2^2 - 
     261*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 236*T2^3 - 
     1192*T1*T2^3 + 1739*T1^2*T2^3 + 2591*T1^3*T2^3 - 10360*T1^4*T2^3 + 
     12579*T1^5*T2^3 - 2933*T1^6*T2^3 - 4635*T1^7*T2^3 + 4627*T1^8*T2^3 - 
     1306*T1^9*T2^3 - 8*T1^10*T2^3 + 59*T1^11*T2^3 - 300*T2^4 + 984*T1*T2^4 + 
     948*T1^2*T2^4 - 10360*T1^3*T2^4 + 16127*T1^4*T2^4 - 3096*T1^5*T2^4 - 
     23059*T1^6*T2^4 + 25028*T1^7*T2^4 - 9817*T1^8*T2^4 - 1628*T1^9*T2^4 + 
     2096*T1^10*T2^4 - 472*T1^11*T2^4 + 236*T2^5 - 88*T1*T2^5 - 
     4133*T1^2*T2^5 + 12579*T1^3*T2^5 - 3096*T1^4*T2^5 - 31252*T1^5*T2^5 + 
     56433*T1^6*T2^5 - 25356*T1^7*T2^5 - 12384*T1^8*T2^5 + 19472*T1^9*T2^5 - 
     6817*T1^10*T2^5 + T1^11*T2^5 + 472*T1^12*T2^5 - 59*T1^13*T2^5 - 
     116*T2^6 - 488*T1*T2^6 + 3616*T1^2*T2^6 - 2933*T1^3*T2^6 - 
     23059*T1^4*T2^6 + 56433*T1^5*T2^6 - 42952*T1^6*T2^6 - 31652*T1^7*T2^6 + 
     65732*T1^8*T2^6 - 35971*T1^9*T2^6 + 399*T1^10*T2^6 + 6753*T1^11*T2^6 - 
     2092*T1^12*T2^6 + 8*T1^13*T2^6 + 58*T1^14*T2^6 + 32*T2^7 + 440*T1*T2^7 - 
     1219*T1^2*T2^7 - 4635*T1^3*T2^7 + 25028*T1^4*T2^7 - 25356*T1^5*T2^7 - 
     31652*T1^6*T2^7 + 102690*T1^7*T2^7 - 80972*T1^8*T2^7 - 315*T1^9*T2^7 + 
     35203*T1^10*T2^7 - 19764*T1^11*T2^7 + 1668*T1^12*T2^7 + 
     1304*T1^13*T2^7 - 272*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 261*T1^2*T2^8 + 4627*T1^3*T2^8 - 9817*T1^4*T2^8 - 
     12384*T1^5*T2^8 + 65732*T1^6*T2^8 - 80972*T1^7*T2^8 + 4464*T1^8*T2^8 + 
     78404*T1^9*T2^8 - 62818*T1^10*T2^8 + 12404*T1^11*T2^8 + 
     9987*T1^12*T2^8 - 4659*T1^13*T2^8 + 263*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 1306*T1^3*T2^9 - 
     1628*T1^4*T2^9 + 19472*T1^5*T2^9 - 35971*T1^6*T2^9 - 315*T1^7*T2^9 + 
     78404*T1^8*T2^9 - 105258*T1^9*T2^9 + 31022*T1^10*T2^9 + 
     24588*T1^11*T2^9 - 25320*T1^12*T2^9 + 4675*T1^13*T2^9 + 
     1217*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     8*T1^3*T2^10 + 2096*T1^4*T2^10 - 6817*T1^5*T2^10 + 399*T1^6*T2^10 + 
     35203*T1^7*T2^10 - 62818*T1^8*T2^10 + 31022*T1^9*T2^10 + 
     45866*T1^10*T2^10 - 57201*T1^11*T2^10 + 23857*T1^12*T2^10 + 
     2869*T1^13*T2^10 - 3612*T1^14*T2^10 + 488*T1^15*T2^10 + 
     116*T1^16*T2^10 + 59*T1^3*T2^11 - 472*T1^4*T2^11 + T1^5*T2^11 + 
     6753*T1^6*T2^11 - 19764*T1^7*T2^11 + 12404*T1^8*T2^11 + 
     24588*T1^9*T2^11 - 57201*T1^10*T2^11 + 31272*T1^11*T2^11 + 
     2804*T1^12*T2^11 - 12643*T1^13*T2^11 + 4135*T1^14*T2^11 + 
     88*T1^15*T2^11 - 236*T1^16*T2^11 + 472*T1^5*T2^12 - 2092*T1^6*T2^12 + 
     1668*T1^7*T2^12 + 9987*T1^8*T2^12 - 25320*T1^9*T2^12 + 
     23857*T1^10*T2^12 + 2804*T1^11*T2^12 - 15957*T1^12*T2^12 + 
     10400*T1^13*T2^12 - 944*T1^14*T2^12 - 984*T1^15*T2^12 + 
     300*T1^16*T2^12 - 59*T1^5*T2^13 + 8*T1^6*T2^13 + 1304*T1^7*T2^13 - 
     4659*T1^8*T2^13 + 4675*T1^9*T2^13 + 2869*T1^10*T2^13 - 
     12643*T1^11*T2^13 + 10400*T1^12*T2^13 - 2623*T1^13*T2^13 - 
     1741*T1^14*T2^13 + 1192*T1^15*T2^13 - 236*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 263*T1^8*T2^14 + 1217*T1^9*T2^14 - 3612*T1^10*T2^14 + 
     4135*T1^11*T2^14 - 944*T1^12*T2^14 - 1741*T1^13*T2^14 + 
     1887*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 488*T1^10*T2^15 + 88*T1^11*T2^15 - 
     984*T1^12*T2^15 + 1192*T1^13*T2^15 - 736*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 116*T1^10*T2^16 - 
     236*T1^11*T2^16 + 300*T1^12*T2^16 - 236*T1^13*T2^16 + 116*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 708] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 35*T1 - 110*T1^2 + 210*T1^3 - 255*T1^4 + 210*T1^5 - 110*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 574*T1^2*T2 - 854*T1^3*T2 + 
      609*T1^4*T2 - 42*T1^5*T2 - 406*T1^6*T2 + 371*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 110*T2^2 + 574*T1*T2^2 - 1113*T1^2*T2^2 + 763*T1^3*T2^2 + 
      1183*T1^4*T2^2 - 2625*T1^5*T2^2 + 2459*T1^6*T2^2 - 777*T1^7*T2^2 - 
      189*T1^8*T2^2 + 266*T1^9*T2^2 - 66*T1^10*T2^2 + 210*T2^3 - 
      854*T1*T2^3 + 763*T1^2*T2^3 + 1622*T1^3*T2^3 - 5628*T1^4*T2^3 + 
      5090*T1^5*T2^3 - 1168*T1^6*T2^3 - 3080*T1^7*T2^3 + 2574*T1^8*T2^3 - 
      777*T1^9*T2^3 - 126*T1^10*T2^3 + 84*T1^11*T2^3 - 255*T2^4 + 
      609*T1*T2^4 + 1183*T1^2*T2^4 - 5628*T1^3*T2^4 + 8388*T1^4*T2^4 - 
      672*T1^5*T2^4 - 7210*T1^6*T2^4 + 9240*T1^7*T2^4 - 1992*T1^8*T2^4 - 
      1848*T1^9*T2^4 + 1555*T1^10*T2^4 - 231*T1^11*T2^4 - 51*T1^12*T2^4 + 
      210*T2^5 - 42*T1*T2^5 - 2625*T1^2*T2^5 + 5090*T1^3*T2^5 - 
      672*T1^4*T2^5 - 14245*T1^5*T2^5 + 16718*T1^6*T2^5 - 6760*T1^7*T2^5 - 
      8197*T1^8*T2^5 + 7875*T1^9*T2^5 - 2260*T1^10*T2^5 - 672*T1^11*T2^5 + 
      357*T1^12*T2^5 - 110*T2^6 - 406*T1*T2^6 + 2459*T1^2*T2^6 - 
      1168*T1^3*T2^6 - 7210*T1^4*T2^6 + 16718*T1^5*T2^6 - 2879*T1^6*T2^6 - 
      16357*T1^7*T2^6 + 23809*T1^8*T2^6 - 8566*T1^9*T2^6 - 2746*T1^10*T2^6 + 
      3452*T1^11*T2^6 - 625*T1^12*T2^6 - 154*T1^13*T2^6 + 22*T1^14*T2^6 + 
      35*T2^7 + 371*T1*T2^7 - 777*T1^2*T2^7 - 3080*T1^3*T2^7 + 
      9240*T1^4*T2^7 - 6760*T1^5*T2^7 - 16357*T1^6*T2^7 + 27923*T1^7*T2^7 - 
      15813*T1^8*T2^7 - 8013*T1^9*T2^7 + 13106*T1^10*T2^7 - 4767*T1^11*T2^7 - 
      700*T1^12*T2^7 + 763*T1^13*T2^7 - 56*T1^14*T2^7 - 14*T1^15*T2^7 - 
      5*T2^8 - 161*T1*T2^8 - 189*T1^2*T2^8 + 2574*T1^3*T2^8 - 
      1992*T1^4*T2^8 - 8197*T1^5*T2^8 + 23809*T1^6*T2^8 - 15813*T1^7*T2^8 - 
      10020*T1^8*T2^8 + 24857*T1^9*T2^8 - 15043*T1^10*T2^8 - 763*T1^11*T2^8 + 
      3964*T1^12*T2^8 - 1318*T1^13*T2^8 - 135*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 266*T1^2*T2^9 - 777*T1^3*T2^9 - 
      1848*T1^4*T2^9 + 7875*T1^5*T2^9 - 8566*T1^6*T2^9 - 8013*T1^7*T2^9 + 
      24857*T1^8*T2^9 - 18879*T1^9*T2^9 + 331*T1^10*T2^9 + 11300*T1^11*T2^9 - 
      6132*T1^12*T2^9 + 532*T1^13*T2^9 + 763*T1^14*T2^9 - 161*T1^15*T2^9 - 
      21*T1^16*T2^9 - 66*T1^2*T2^10 - 126*T1^3*T2^10 + 1555*T1^4*T2^10 - 
      2260*T1^5*T2^10 - 2746*T1^6*T2^10 + 13106*T1^7*T2^10 - 
      15043*T1^8*T2^10 + 331*T1^9*T2^10 + 11645*T1^10*T2^10 - 
      12178*T1^11*T2^10 + 1718*T1^12*T2^10 + 2360*T1^13*T2^10 - 
      1529*T1^14*T2^10 + 126*T1^15*T2^10 + 66*T1^16*T2^10 + 84*T1^3*T2^11 - 
      231*T1^4*T2^11 - 672*T1^5*T2^11 + 3452*T1^6*T2^11 - 4767*T1^7*T2^11 - 
      763*T1^8*T2^11 + 11300*T1^9*T2^11 - 12178*T1^10*T2^11 + 
      5285*T1^11*T2^11 + 3780*T1^12*T2^11 - 3898*T1^13*T2^11 + 
      1281*T1^14*T2^11 + 168*T1^15*T2^11 - 126*T1^16*T2^11 - 51*T1^4*T2^12 + 
      357*T1^5*T2^12 - 625*T1^6*T2^12 - 700*T1^7*T2^12 + 3964*T1^8*T2^12 - 
      6132*T1^9*T2^12 + 1718*T1^10*T2^12 + 3780*T1^11*T2^12 - 
      6416*T1^12*T2^12 + 3080*T1^13*T2^12 - 253*T1^14*T2^12 - 
      483*T1^15*T2^12 + 153*T1^16*T2^12 - 154*T1^6*T2^13 + 763*T1^7*T2^13 - 
      1318*T1^8*T2^13 + 532*T1^9*T2^13 + 2360*T1^10*T2^13 - 
      3898*T1^11*T2^13 + 3080*T1^12*T2^13 - 366*T1^13*T2^13 - 
      777*T1^14*T2^13 + 574*T1^15*T2^13 - 126*T1^16*T2^13 + 22*T1^6*T2^14 - 
      56*T1^7*T2^14 - 135*T1^8*T2^14 + 763*T1^9*T2^14 - 1529*T1^10*T2^14 + 
      1281*T1^11*T2^14 - 253*T1^12*T2^14 - 777*T1^13*T2^14 + 
      789*T1^14*T2^14 - 364*T1^15*T2^14 + 66*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 161*T1^9*T2^15 + 126*T1^10*T2^15 + 168*T1^11*T2^15 - 
      483*T1^12*T2^15 + 574*T1^13*T2^15 - 364*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 66*T1^10*T2^16 - 
      126*T1^11*T2^16 + 153*T1^12*T2^16 - 126*T1^13*T2^16 + 66*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 709] -> 
  {-((1 - 8*T + 28*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 28*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 84*T1^2 + 171*T1^3 - 213*T1^4 + 171*T1^5 - 
      84*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 544*T1^2*T2 - 
      920*T1^3*T2 + 792*T1^4*T2 - 232*T1^5*T2 - 240*T1^6*T2 + 256*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 84*T2^2 + 544*T1*T2^2 - 1358*T1^2*T2^2 + 
      1439*T1^3*T2^2 + 525*T1^4*T2^2 - 2672*T1^5*T2^2 + 2933*T1^6*T2^2 - 
      1305*T1^7*T2^2 + 154*T1^8*T2^2 + 96*T1^9*T2^2 - 28*T1^10*T2^2 + 
      171*T2^3 - 920*T1*T2^3 + 1439*T1^2*T2^3 + 959*T1^3*T2^3 - 
      7070*T1^4*T2^3 + 9248*T1^5*T2^3 - 4889*T1^6*T2^3 - 1539*T1^7*T2^3 + 
      2813*T1^8*T2^3 - 1333*T1^9*T2^3 + 224*T1^10*T2^3 - 213*T2^4 + 
      792*T1*T2^4 + 525*T1^2*T2^4 - 7070*T1^3*T2^4 + 15057*T1^4*T2^4 - 
      8611*T1^5*T2^4 - 7303*T1^6*T2^4 + 16689*T1^7*T2^4 - 9751*T1^8*T2^4 + 
      1366*T1^9*T2^4 + 1181*T1^10*T2^4 - 568*T1^11*T2^4 + 71*T1^12*T2^4 + 
      171*T2^5 - 232*T1*T2^5 - 2672*T1^2*T2^5 + 9248*T1^3*T2^5 - 
      8611*T1^4*T2^5 - 15807*T1^5*T2^5 + 38079*T1^6*T2^5 - 31629*T1^7*T2^5 + 
      1767*T1^8*T2^5 + 12530*T1^9*T2^5 - 7855*T1^10*T2^5 + 1384*T1^11*T2^5 + 
      344*T1^12*T2^5 - 114*T1^13*T2^5 - 84*T2^6 - 240*T1*T2^6 + 
      2933*T1^2*T2^6 - 4889*T1^3*T2^6 - 7303*T1^4*T2^6 + 38079*T1^5*T2^6 - 
      41160*T1^6*T2^6 - 1012*T1^7*T2^6 + 44968*T1^8*T2^6 - 38641*T1^9*T2^6 + 
      8009*T1^10*T2^6 + 4799*T1^11*T2^6 - 2979*T1^12*T2^6 + 240*T1^13*T2^6 + 
      84*T1^14*T2^6 + 24*T2^7 + 256*T1*T2^7 - 1305*T1^2*T2^7 - 
      1539*T1^3*T2^7 + 16689*T1^4*T2^7 - 31629*T1^5*T2^7 - 1012*T1^6*T2^7 + 
      67045*T1^7*T2^7 - 83807*T1^8*T2^7 + 28123*T1^9*T2^7 + 
      24055*T1^10*T2^7 - 21088*T1^11*T2^7 + 4550*T1^12*T2^7 + 
      1299*T1^13*T2^7 - 416*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 154*T1^2*T2^8 + 2813*T1^3*T2^8 - 9751*T1^4*T2^8 + 
      1767*T1^5*T2^8 + 44968*T1^6*T2^8 - 83807*T1^7*T2^8 + 34368*T1^8*T2^8 + 
      52247*T1^9*T2^8 - 75578*T1^10*T2^8 + 25269*T1^11*T2^8 + 
      4753*T1^12*T2^8 - 5481*T1^13*T2^8 + 442*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 96*T1^2*T2^9 - 1333*T1^3*T2^9 + 
      1366*T1^4*T2^9 + 12530*T1^5*T2^9 - 38641*T1^6*T2^9 + 28123*T1^7*T2^9 + 
      52247*T1^8*T2^9 - 98605*T1^9*T2^9 + 57258*T1^10*T2^9 + 
      17043*T1^11*T2^9 - 25247*T1^12*T2^9 + 7455*T1^13*T2^9 + 
      1271*T1^14*T2^9 - 576*T1^15*T2^9 - 40*T1^16*T2^9 - 28*T1^2*T2^10 + 
      224*T1^3*T2^10 + 1181*T1^4*T2^10 - 7855*T1^5*T2^10 + 8009*T1^6*T2^10 + 
      24055*T1^7*T2^10 - 75578*T1^8*T2^10 + 57258*T1^9*T2^10 + 
      10550*T1^10*T2^10 - 52665*T1^11*T2^10 + 23321*T1^12*T2^10 + 
      1833*T1^13*T2^10 - 4731*T1^14*T2^10 + 704*T1^15*T2^10 + 
      140*T1^16*T2^10 - 568*T1^4*T2^11 + 1384*T1^5*T2^11 + 4799*T1^6*T2^11 - 
      21088*T1^7*T2^11 + 25269*T1^8*T2^11 + 17043*T1^9*T2^11 - 
      52665*T1^10*T2^11 + 42843*T1^11*T2^11 + 53*T1^12*T2^11 - 
      12304*T1^13*T2^11 + 5440*T1^14*T2^11 + 8*T1^15*T2^11 - 
      285*T1^16*T2^11 + 71*T1^4*T2^12 + 344*T1^5*T2^12 - 2979*T1^6*T2^12 + 
      4550*T1^7*T2^12 + 4753*T1^8*T2^12 - 25247*T1^9*T2^12 + 
      23321*T1^10*T2^12 + 53*T1^11*T2^12 - 20055*T1^12*T2^12 + 
      12986*T1^13*T2^12 - 2323*T1^14*T2^12 - 1016*T1^15*T2^12 + 
      355*T1^16*T2^12 - 114*T1^5*T2^13 + 240*T1^6*T2^13 + 1299*T1^7*T2^13 - 
      5481*T1^8*T2^13 + 7455*T1^9*T2^13 + 1833*T1^10*T2^13 - 
      12304*T1^11*T2^13 + 12986*T1^12*T2^13 - 3627*T1^13*T2^13 - 
      1473*T1^14*T2^13 + 1384*T1^15*T2^13 - 285*T1^16*T2^13 + 84*T1^6*T2^14 - 
      416*T1^7*T2^14 + 442*T1^8*T2^14 + 1271*T1^9*T2^14 - 4731*T1^10*T2^14 + 
      5440*T1^11*T2^14 - 2323*T1^12*T2^14 - 1473*T1^13*T2^14 + 
      1954*T1^14*T2^14 - 864*T1^15*T2^14 + 140*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 576*T1^9*T2^15 + 704*T1^10*T2^15 + 8*T1^11*T2^15 - 
      1016*T1^12*T2^15 + 1384*T1^13*T2^15 - 864*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      140*T1^10*T2^16 - 285*T1^11*T2^16 + 355*T1^12*T2^16 - 285*T1^13*T2^16 + 
      140*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 710] -> 
  {-((1 - 9*T + 33*T^2 - 66*T^3 + 81*T^4 - 66*T^5 + 33*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 99*T1^2 + 198*T1^3 - 243*T1^4 + 198*T1^5 - 
      99*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 729*T1^2*T2 - 
      1188*T1^3*T2 + 999*T1^4*T2 - 324*T1^5*T2 - 297*T1^6*T2 + 351*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 99*T2^2 + 729*T1*T2^2 - 1843*T1^2*T2^2 + 
      1492*T1^3*T2^2 + 1568*T1^4*T2^2 - 4391*T1^5*T2^2 + 4736*T1^6*T2^2 - 
      2270*T1^7*T2^2 + 269*T1^8*T2^2 + 135*T1^9*T2^2 - 33*T1^10*T2^2 + 
      198*T2^3 - 1188*T1*T2^3 + 1492*T1^2*T2^3 + 3813*T1^3*T2^3 - 
      13277*T1^4*T2^3 + 15401*T1^5*T2^3 - 8656*T1^6*T2^3 - 1694*T1^7*T2^3 + 
      4605*T1^8*T2^3 - 2072*T1^9*T2^3 + 297*T1^10*T2^3 - 243*T2^4 + 
      999*T1*T2^4 + 1568*T1^2*T2^4 - 13277*T1^3*T2^4 + 22904*T1^4*T2^4 - 
      9618*T1^5*T2^4 - 14222*T1^6*T2^4 + 28938*T1^7*T2^4 - 18892*T1^8*T2^4 + 
      3355*T1^9*T2^4 + 1568*T1^10*T2^4 - 729*T1^11*T2^4 + 81*T1^12*T2^4 + 
      198*T2^5 - 324*T1*T2^5 - 4391*T1^2*T2^5 + 15401*T1^3*T2^5 - 
      9618*T1^4*T2^5 - 30567*T1^5*T2^5 + 62667*T1^6*T2^5 - 54846*T1^7*T2^5 + 
      10335*T1^8*T2^5 + 18705*T1^9*T2^5 - 13210*T1^10*T2^5 + 
      2224*T1^11*T2^5 + 459*T1^12*T2^5 - 132*T1^13*T2^5 - 99*T2^6 - 
      297*T1*T2^6 + 4736*T1^2*T2^6 - 8656*T1^3*T2^6 - 14222*T1^4*T2^6 + 
      62667*T1^5*T2^6 - 66433*T1^6*T2^6 + 6595*T1^7*T2^6 + 61079*T1^8*T2^6 - 
      65043*T1^9*T2^6 + 16072*T1^10*T2^6 + 8570*T1^11*T2^6 - 
      4768*T1^12*T2^6 + 297*T1^13*T2^6 + 99*T1^14*T2^6 + 27*T2^7 + 
      351*T1*T2^7 - 2270*T1^2*T2^7 - 1694*T1^3*T2^7 + 28938*T1^4*T2^7 - 
      54846*T1^5*T2^7 + 6595*T1^6*T2^7 + 87102*T1^7*T2^7 - 113634*T1^8*T2^7 + 
      45205*T1^9*T2^7 + 42273*T1^10*T2^7 - 40317*T1^11*T2^7 + 
      6919*T1^12*T2^7 + 2482*T1^13*T2^7 - 567*T1^14*T2^7 - 36*T1^15*T2^7 - 
      3*T2^8 - 135*T1*T2^8 + 269*T1^2*T2^8 + 4605*T1^3*T2^8 - 
      18892*T1^4*T2^8 + 10335*T1^5*T2^8 + 61079*T1^6*T2^8 - 
      113634*T1^7*T2^8 + 41628*T1^8*T2^8 + 71730*T1^9*T2^8 - 
      118837*T1^10*T2^8 + 40461*T1^11*T2^8 + 15020*T1^12*T2^8 - 
      10377*T1^13*T2^8 + 515*T1^14*T2^8 + 279*T1^15*T2^8 + 5*T1^16*T2^8 + 
      18*T1*T2^9 + 135*T1^2*T2^9 - 2072*T1^3*T2^9 + 3355*T1^4*T2^9 + 
      18705*T1^5*T2^9 - 65043*T1^6*T2^9 + 45205*T1^7*T2^9 + 71730*T1^8*T2^9 - 
      129006*T1^9*T2^9 + 83815*T1^10*T2^9 + 32076*T1^11*T2^9 - 
      50550*T1^12*T2^9 + 11968*T1^13*T2^9 + 2680*T1^14*T2^9 - 
      783*T1^15*T2^9 - 45*T1^16*T2^9 - 33*T1^2*T2^10 + 297*T1^3*T2^10 + 
      1568*T1^4*T2^10 - 13210*T1^5*T2^10 + 16072*T1^6*T2^10 + 
      42273*T1^7*T2^10 - 118837*T1^8*T2^10 + 83815*T1^9*T2^10 + 
      8675*T1^10*T2^10 - 85437*T1^11*T2^10 + 46366*T1^12*T2^10 + 
      4016*T1^13*T2^10 - 7936*T1^14*T2^10 + 891*T1^15*T2^10 + 
      165*T1^16*T2^10 - 729*T1^4*T2^11 + 2224*T1^5*T2^11 + 8570*T1^6*T2^11 - 
      40317*T1^7*T2^11 + 40461*T1^8*T2^11 + 32076*T1^9*T2^11 - 
      85437*T1^10*T2^11 + 81363*T1^11*T2^11 - 11994*T1^12*T2^11 - 
      20041*T1^13*T2^11 + 8839*T1^14*T2^11 + 54*T1^15*T2^11 - 
      330*T1^16*T2^11 + 81*T1^4*T2^12 + 459*T1^5*T2^12 - 4768*T1^6*T2^12 + 
      6919*T1^7*T2^12 + 15020*T1^8*T2^12 - 50550*T1^9*T2^12 + 
      46366*T1^10*T2^12 - 11994*T1^11*T2^12 - 26776*T1^12*T2^12 + 
      23551*T1^13*T2^12 - 4768*T1^14*T2^12 - 1269*T1^15*T2^12 + 
      405*T1^16*T2^12 - 132*T1^5*T2^13 + 297*T1^6*T2^13 + 2482*T1^7*T2^13 - 
      10377*T1^8*T2^13 + 11968*T1^9*T2^13 + 4016*T1^10*T2^13 - 
      20041*T1^11*T2^13 + 23551*T1^12*T2^13 - 9585*T1^13*T2^13 - 
      1082*T1^14*T2^13 + 1782*T1^15*T2^13 - 330*T1^16*T2^13 + 99*T1^6*T2^14 - 
      567*T1^7*T2^14 + 515*T1^8*T2^14 + 2680*T1^9*T2^14 - 7936*T1^10*T2^14 + 
      8839*T1^11*T2^14 - 4768*T1^12*T2^14 - 1082*T1^13*T2^14 + 
      2627*T1^14*T2^14 - 1161*T1^15*T2^14 + 165*T1^16*T2^14 - 36*T1^7*T2^15 + 
      279*T1^8*T2^15 - 783*T1^9*T2^15 + 891*T1^10*T2^15 + 54*T1^11*T2^15 - 
      1269*T1^12*T2^15 + 1782*T1^13*T2^15 - 1161*T1^14*T2^15 + 
      369*T1^15*T2^15 - 45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 
      165*T1^10*T2^16 - 330*T1^11*T2^16 + 405*T1^12*T2^16 - 330*T1^13*T2^16 + 
      165*T1^14*T2^16 - 45*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 711] -> 
  {-(((1 - T + T^2)*(-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^4), 
   -((-3 + 24*T1 - 81*T1^2 + 159*T1^3 - 195*T1^4 + 159*T1^5 - 81*T1^6 + 
      24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 520*T1^2*T2 - 840*T1^3*T2 + 
      712*T1^4*T2 - 232*T1^5*T2 - 200*T1^6*T2 + 240*T1^7*T2 - 104*T1^8*T2 + 
      16*T1^9*T2 - 81*T2^2 + 520*T1*T2^2 - 1187*T1^2*T2^2 + 1039*T1^3*T2^2 + 
      826*T1^4*T2^2 - 2641*T1^5*T2^2 + 2878*T1^6*T2^2 - 1391*T1^7*T2^2 + 
      217*T1^8*T2^2 + 88*T1^9*T2^2 - 27*T1^10*T2^2 + 159*T2^3 - 840*T1*T2^3 + 
      1039*T1^2*T2^3 + 1555*T1^3*T2^3 - 6823*T1^4*T2^3 + 8237*T1^5*T2^3 - 
      4531*T1^6*T2^3 - 1150*T1^7*T2^3 + 2581*T1^8*T2^3 - 1310*T1^9*T2^3 + 
      216*T1^10*T2^3 - 195*T2^4 + 712*T1*T2^4 + 826*T1^2*T2^4 - 
      6823*T1^3*T2^4 + 12869*T1^4*T2^4 - 6752*T1^5*T2^4 - 5769*T1^6*T2^4 + 
      13772*T1^7*T2^4 - 8651*T1^8*T2^4 + 1445*T1^9*T2^4 + 1062*T1^10*T2^4 - 
      520*T1^11*T2^4 + 65*T1^12*T2^4 + 159*T2^5 - 232*T1*T2^5 - 
      2641*T1^2*T2^5 + 8237*T1^3*T2^5 - 6752*T1^4*T2^5 - 12946*T1^5*T2^5 + 
      28857*T1^6*T2^5 - 24476*T1^7*T2^5 + 1964*T1^8*T2^5 + 10178*T1^9*T2^5 - 
      6959*T1^10*T2^5 + 1253*T1^11*T2^5 + 328*T1^12*T2^5 - 106*T1^13*T2^5 - 
      81*T2^6 - 200*T1*T2^6 + 2878*T1^2*T2^6 - 4531*T1^3*T2^6 - 
      5769*T1^4*T2^6 + 28857*T1^5*T2^6 - 28944*T1^6*T2^6 - 1022*T1^7*T2^6 + 
      32328*T1^8*T2^6 - 29135*T1^9*T2^6 + 6133*T1^10*T2^6 + 4595*T1^11*T2^6 - 
      2806*T1^12*T2^6 + 200*T1^13*T2^6 + 81*T1^14*T2^6 + 24*T2^7 + 
      240*T1*T2^7 - 1391*T1^2*T2^7 - 1150*T1^3*T2^7 + 13772*T1^4*T2^7 - 
      24476*T1^5*T2^7 - 1022*T1^6*T2^7 + 45358*T1^7*T2^7 - 55008*T1^8*T2^7 + 
      17997*T1^9*T2^7 + 19539*T1^10*T2^7 - 17534*T1^11*T2^7 + 
      3557*T1^12*T2^7 + 1444*T1^13*T2^7 - 392*T1^14*T2^7 - 32*T1^15*T2^7 - 
      3*T2^8 - 104*T1*T2^8 + 217*T1^2*T2^8 + 2581*T1^3*T2^8 - 
      8651*T1^4*T2^8 + 1964*T1^5*T2^8 + 32328*T1^6*T2^8 - 55008*T1^7*T2^8 + 
      18312*T1^8*T2^8 + 37176*T1^9*T2^8 - 53994*T1^10*T2^8 + 
      18020*T1^11*T2^8 + 5305*T1^12*T2^8 - 5185*T1^13*T2^8 + 277*T1^14*T2^8 + 
      216*T1^15*T2^8 + 5*T1^16*T2^8 + 16*T1*T2^9 + 88*T1^2*T2^9 - 
      1310*T1^3*T2^9 + 1445*T1^4*T2^9 + 10178*T1^5*T2^9 - 29135*T1^6*T2^9 + 
      17997*T1^7*T2^9 + 37176*T1^8*T2^9 - 63190*T1^9*T2^9 + 
      37016*T1^10*T2^9 + 14880*T1^11*T2^9 - 21128*T1^12*T2^9 + 
      6152*T1^13*T2^9 + 1525*T1^14*T2^9 - 544*T1^15*T2^9 - 40*T1^16*T2^9 - 
      27*T1^2*T2^10 + 216*T1^3*T2^10 + 1062*T1^4*T2^10 - 6959*T1^5*T2^10 + 
      6133*T1^6*T2^10 + 19539*T1^7*T2^10 - 53994*T1^8*T2^10 + 
      37016*T1^9*T2^10 + 7278*T1^10*T2^10 - 38453*T1^11*T2^10 + 
      18035*T1^12*T2^10 + 2167*T1^13*T2^10 - 4622*T1^14*T2^10 + 
      616*T1^15*T2^10 + 135*T1^16*T2^10 - 520*T1^4*T2^11 + 1253*T1^5*T2^11 + 
      4595*T1^6*T2^11 - 17534*T1^7*T2^11 + 18020*T1^8*T2^11 + 
      14880*T1^9*T2^11 - 38453*T1^10*T2^11 + 32930*T1^11*T2^11 - 
      604*T1^12*T2^11 - 10601*T1^13*T2^11 + 5147*T1^14*T2^11 + 
      40*T1^15*T2^11 - 265*T1^16*T2^11 + 65*T1^4*T2^12 + 328*T1^5*T2^12 - 
      2806*T1^6*T2^12 + 3557*T1^7*T2^12 + 5305*T1^8*T2^12 - 
      21128*T1^9*T2^12 + 18035*T1^10*T2^12 - 604*T1^11*T2^12 - 
      16215*T1^12*T2^12 + 11825*T1^13*T2^12 - 2570*T1^14*T2^12 - 
      904*T1^15*T2^12 + 325*T1^16*T2^12 - 106*T1^5*T2^13 + 200*T1^6*T2^13 + 
      1444*T1^7*T2^13 - 5185*T1^8*T2^13 + 6152*T1^9*T2^13 + 
      2167*T1^10*T2^13 - 10601*T1^11*T2^13 + 11825*T1^12*T2^13 - 
      4159*T1^13*T2^13 - 905*T1^14*T2^13 + 1256*T1^15*T2^13 - 
      265*T1^16*T2^13 + 81*T1^6*T2^14 - 392*T1^7*T2^14 + 277*T1^8*T2^14 + 
      1525*T1^9*T2^14 - 4622*T1^10*T2^14 + 5147*T1^11*T2^14 - 
      2570*T1^12*T2^14 - 905*T1^13*T2^14 + 1681*T1^14*T2^14 - 
      824*T1^15*T2^14 + 135*T1^16*T2^14 - 32*T1^7*T2^15 + 216*T1^8*T2^15 - 
      544*T1^9*T2^15 + 616*T1^10*T2^15 + 40*T1^11*T2^15 - 904*T1^12*T2^15 + 
      1256*T1^13*T2^15 - 824*T1^14*T2^15 + 288*T1^15*T2^15 - 40*T1^16*T2^15 + 
      5*T1^8*T2^16 - 40*T1^9*T2^16 + 135*T1^10*T2^16 - 265*T1^11*T2^16 + 
      325*T1^12*T2^16 - 265*T1^13*T2^16 + 135*T1^14*T2^16 - 40*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 712] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^4), 
   -((-3 + 27*T1 - 102*T1^2 + 210*T1^3 - 261*T1^4 + 210*T1^5 - 102*T1^6 + 
      27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 756*T1^2*T2 - 1278*T1^3*T2 + 
      1089*T1^4*T2 - 324*T1^5*T2 - 342*T1^6*T2 + 369*T1^7*T2 - 135*T1^8*T2 + 
      18*T1^9*T2 - 102*T2^2 + 756*T1*T2^2 - 2042*T1^2*T2^2 + 1930*T1^3*T2^2 + 
      1326*T1^4*T2^2 - 4594*T1^5*T2^2 + 4930*T1^6*T2^2 - 2218*T1^7*T2^2 + 
      202*T1^8*T2^2 + 144*T1^9*T2^2 - 34*T1^10*T2^2 + 210*T2^3 - 
      1278*T1*T2^3 + 1930*T1^2*T2^3 + 3368*T1^3*T2^3 - 14172*T1^4*T2^3 + 
      17124*T1^5*T2^3 - 9078*T1^6*T2^3 - 2508*T1^7*T2^3 + 5120*T1^8*T2^3 - 
      2150*T1^9*T2^3 + 306*T1^10*T2^3 - 261*T2^4 + 1089*T1*T2^4 + 
      1326*T1^2*T2^4 - 14172*T1^3*T2^4 + 26312*T1^4*T2^4 - 11429*T1^5*T2^4 - 
      17936*T1^6*T2^4 + 34123*T1^7*T2^4 - 20620*T1^8*T2^4 + 3048*T1^9*T2^4 + 
      1818*T1^10*T2^4 - 783*T1^11*T2^4 + 87*T1^12*T2^4 + 210*T2^5 - 
      324*T1*T2^5 - 4594*T1^2*T2^5 + 17124*T1^3*T2^5 - 11429*T1^4*T2^5 - 
      37483*T1^5*T2^5 + 78735*T1^6*T2^5 - 65679*T1^7*T2^5 + 9383*T1^8*T2^5 + 
      22560*T1^9*T2^5 - 14442*T1^10*T2^5 + 2267*T1^11*T2^5 + 477*T1^12*T2^5 - 
      140*T1^13*T2^5 - 102*T2^6 - 342*T1*T2^6 + 4930*T1^2*T2^6 - 
      9078*T1^3*T2^6 - 17936*T1^4*T2^6 + 78735*T1^5*T2^6 - 84313*T1^6*T2^6 + 
      2669*T1^7*T2^6 + 82247*T1^8*T2^6 - 79701*T1^9*T2^6 + 18640*T1^10*T2^6 + 
      9078*T1^11*T2^6 - 4898*T1^12*T2^6 + 342*T1^13*T2^6 + 102*T1^14*T2^6 + 
      27*T2^7 + 369*T1*T2^7 - 2218*T1^2*T2^7 - 2508*T1^3*T2^7 + 
      34123*T1^4*T2^7 - 65679*T1^5*T2^7 + 2669*T1^6*T2^7 + 124313*T1^7*T2^7 - 
      154417*T1^8*T2^7 + 57077*T1^9*T2^7 + 50691*T1^10*T2^7 - 
      46118*T1^11*T2^7 + 8052*T1^12*T2^7 + 2270*T1^13*T2^7 - 594*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 202*T1^2*T2^8 + 5120*T1^3*T2^8 - 
      20620*T1^4*T2^8 + 9383*T1^5*T2^8 + 82247*T1^6*T2^8 - 154417*T1^7*T2^8 + 
      55920*T1^8*T2^8 + 98885*T1^9*T2^8 - 151637*T1^10*T2^8 + 
      50825*T1^11*T2^8 + 15072*T1^12*T2^8 - 10732*T1^13*T2^8 + 
      724*T1^14*T2^8 + 279*T1^15*T2^8 + 5*T1^16*T2^8 + 18*T1*T2^9 + 
      144*T1^2*T2^9 - 2150*T1^3*T2^9 + 3048*T1^4*T2^9 + 22560*T1^5*T2^9 - 
      79701*T1^6*T2^9 + 57077*T1^7*T2^9 + 98885*T1^8*T2^9 - 
      179845*T1^9*T2^9 + 111485*T1^10*T2^9 + 36669*T1^11*T2^9 - 
      57681*T1^12*T2^9 + 13608*T1^13*T2^9 + 2338*T1^14*T2^9 - 
      819*T1^15*T2^9 - 45*T1^16*T2^9 - 34*T1^2*T2^10 + 306*T1^3*T2^10 + 
      1818*T1^4*T2^10 - 14442*T1^5*T2^10 + 18640*T1^6*T2^10 + 
      50691*T1^7*T2^10 - 151637*T1^8*T2^10 + 111485*T1^9*T2^10 + 
      14923*T1^10*T2^10 - 107745*T1^11*T2^10 + 55216*T1^12*T2^10 + 
      3714*T1^13*T2^10 - 8010*T1^14*T2^10 + 990*T1^15*T2^10 + 
      170*T1^16*T2^10 - 783*T1^4*T2^11 + 2267*T1^5*T2^11 + 9078*T1^6*T2^11 - 
      46118*T1^7*T2^11 + 50825*T1^8*T2^11 + 36669*T1^9*T2^11 - 
      107745*T1^10*T2^11 + 97691*T1^11*T2^11 - 12129*T1^12*T2^11 - 
      22488*T1^13*T2^11 + 9128*T1^14*T2^11 + 18*T1^15*T2^11 - 
      350*T1^16*T2^11 + 87*T1^4*T2^12 + 477*T1^5*T2^12 - 4898*T1^6*T2^12 + 
      8052*T1^7*T2^12 + 15072*T1^8*T2^12 - 57681*T1^9*T2^12 + 
      55216*T1^10*T2^12 - 12129*T1^11*T2^12 - 31860*T1^12*T2^12 + 
      25272*T1^13*T2^12 - 4406*T1^14*T2^12 - 1395*T1^15*T2^12 + 
      435*T1^16*T2^12 - 140*T1^5*T2^13 + 342*T1^6*T2^13 + 2270*T1^7*T2^13 - 
      10732*T1^8*T2^13 + 13608*T1^9*T2^13 + 3714*T1^10*T2^13 - 
      22488*T1^11*T2^13 + 25272*T1^12*T2^13 - 8980*T1^13*T2^13 - 
      1810*T1^14*T2^13 + 1926*T1^15*T2^13 - 350*T1^16*T2^13 + 
      102*T1^6*T2^14 - 594*T1^7*T2^14 + 724*T1^8*T2^14 + 2338*T1^9*T2^14 - 
      8010*T1^10*T2^14 + 9128*T1^11*T2^14 - 4406*T1^12*T2^14 - 
      1810*T1^13*T2^14 + 2968*T1^14*T2^14 - 1206*T1^15*T2^14 + 
      170*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 819*T1^9*T2^15 + 
      990*T1^10*T2^15 + 18*T1^11*T2^15 - 1395*T1^12*T2^15 + 
      1926*T1^13*T2^15 - 1206*T1^14*T2^15 + 369*T1^15*T2^15 - 
      45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 170*T1^10*T2^16 - 
      350*T1^11*T2^16 + 435*T1^12*T2^16 - 350*T1^13*T2^16 + 170*T1^14*T2^16 - 
      45*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 713] -> 
  {-((2 - 8*T + 17*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 17*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-41 + 163*T1 - 345*T1^2 + 547*T1^3 - 627*T1^4 + 547*T1^5 - 
      345*T1^6 + 163*T1^7 - 41*T1^8 + 163*T2 - 518*T1*T2 + 854*T1^2*T2 - 
      1078*T1^3*T2 + 752*T1^4*T2 - 176*T1^5*T2 - 374*T1^6*T2 + 454*T1^7*T2 - 
      358*T1^8*T2 + 131*T1^9*T2 - 345*T2^2 + 854*T1*T2^2 - 1048*T1^2*T2^2 + 
      1056*T1^3*T2^2 - 76*T1^4*T2^2 - 608*T1^5*T2^2 + 876*T1^6*T2^2 - 
      236*T1^7*T2^2 - 28*T1^8*T2^2 + 310*T1^9*T2^2 - 209*T1^10*T2^2 + 
      547*T2^3 - 1078*T1*T2^3 + 1056*T1^2*T2^3 - 1096*T1^3*T2^3 - 
      286*T1^4*T2^3 + 418*T1^5*T2^3 - 342*T1^6*T2^3 - 620*T1^7*T2^3 + 
      202*T1^8*T2^3 - 338*T1^9*T2^3 - 54*T1^10*T2^3 + 223*T1^11*T2^3 - 
      627*T2^4 + 752*T1*T2^4 - 76*T1^2*T2^4 - 286*T1^3*T2^4 + 
      2457*T1^4*T2^4 - 1939*T1^5*T2^4 + 1783*T1^6*T2^4 - 603*T1^7*T2^4 + 
      1441*T1^8*T2^4 - 502*T1^9*T2^4 + 684*T1^10*T2^4 - 368*T1^11*T2^4 - 
      131*T1^12*T2^4 + 547*T2^5 - 176*T1*T2^5 - 608*T1^2*T2^5 + 
      418*T1^3*T2^5 - 1939*T1^4*T2^5 - 179*T1^5*T2^5 + 69*T1^6*T2^5 - 
      567*T1^7*T2^5 - 1169*T1^8*T2^5 - 208*T1^9*T2^5 - 350*T1^10*T2^5 - 
      164*T1^11*T2^5 + 496*T1^12*T2^5 + 7*T1^13*T2^5 - 345*T2^6 - 
      374*T1*T2^6 + 876*T1^2*T2^6 - 342*T1^3*T2^6 + 1783*T1^4*T2^6 + 
      69*T1^5*T2^6 + 1880*T1^6*T2^6 - 2240*T1^7*T2^6 + 3280*T1^8*T2^6 - 
      409*T1^9*T2^6 + 589*T1^10*T2^6 + 406*T1^11*T2^6 - 460*T1^12*T2^6 - 
      278*T1^13*T2^6 + 63*T1^14*T2^6 + 163*T2^7 + 454*T1*T2^7 - 
      236*T1^2*T2^7 - 620*T1^3*T2^7 - 603*T1^4*T2^7 - 567*T1^5*T2^7 - 
      2240*T1^6*T2^7 + 2158*T1^7*T2^7 - 1680*T1^8*T2^7 - 1299*T1^9*T2^7 + 
      385*T1^10*T2^7 - 754*T1^11*T2^7 + 186*T1^12*T2^7 + 546*T1^13*T2^7 - 
      10*T1^14*T2^7 - 61*T1^15*T2^7 - 41*T2^8 - 358*T1*T2^8 - 28*T1^2*T2^8 + 
      202*T1^3*T2^8 + 1441*T1^4*T2^8 - 1169*T1^5*T2^8 + 3280*T1^6*T2^8 - 
      1680*T1^7*T2^8 - 324*T1^8*T2^8 + 2272*T1^9*T2^8 - 722*T1^10*T2^8 + 
      529*T1^11*T2^8 + 53*T1^12*T2^8 - 466*T1^13*T2^8 - 244*T1^14*T2^8 + 
      154*T1^15*T2^8 + 23*T1^16*T2^8 + 131*T1*T2^9 + 310*T1^2*T2^9 - 
      338*T1^3*T2^9 - 502*T1^4*T2^9 - 208*T1^5*T2^9 - 409*T1^6*T2^9 - 
      1299*T1^7*T2^9 + 2272*T1^8*T2^9 - 1566*T1^9*T2^9 - 358*T1^10*T2^9 + 
      543*T1^11*T2^9 - 359*T1^12*T2^9 + 304*T1^13*T2^9 + 444*T1^14*T2^9 - 
      154*T1^15*T2^9 - 93*T1^16*T2^9 - 209*T1^2*T2^10 - 54*T1^3*T2^10 + 
      684*T1^4*T2^10 - 350*T1^5*T2^10 + 589*T1^6*T2^10 + 385*T1^7*T2^10 - 
      722*T1^8*T2^10 - 358*T1^9*T2^10 + 678*T1^10*T2^10 - 93*T1^11*T2^10 - 
      605*T1^12*T2^10 + 398*T1^13*T2^10 - 652*T1^14*T2^10 + 42*T1^15*T2^10 + 
      199*T1^16*T2^10 + 223*T1^3*T2^11 - 368*T1^4*T2^11 - 164*T1^5*T2^11 + 
      406*T1^6*T2^11 - 754*T1^7*T2^11 + 529*T1^8*T2^11 + 543*T1^9*T2^11 - 
      93*T1^10*T2^11 - 461*T1^11*T2^11 + 977*T1^12*T2^11 - 362*T1^13*T2^11 + 
      280*T1^14*T2^11 + 304*T1^15*T2^11 - 317*T1^16*T2^11 - 131*T1^4*T2^12 + 
      496*T1^5*T2^12 - 460*T1^6*T2^12 + 186*T1^7*T2^12 + 53*T1^8*T2^12 - 
      359*T1^9*T2^12 - 605*T1^10*T2^12 + 977*T1^11*T2^12 - 963*T1^12*T2^12 - 
      30*T1^13*T2^12 + 300*T1^14*T2^12 - 624*T1^15*T2^12 + 365*T1^16*T2^12 + 
      7*T1^5*T2^13 - 278*T1^6*T2^13 + 546*T1^7*T2^13 - 466*T1^8*T2^13 + 
      304*T1^9*T2^13 + 398*T1^10*T2^13 - 362*T1^11*T2^13 - 30*T1^12*T2^13 + 
      832*T1^13*T2^13 - 848*T1^14*T2^13 + 746*T1^15*T2^13 - 317*T1^16*T2^13 + 
      63*T1^6*T2^14 - 10*T1^7*T2^14 - 244*T1^8*T2^14 + 444*T1^9*T2^14 - 
      652*T1^10*T2^14 + 280*T1^11*T2^14 + 300*T1^12*T2^14 - 848*T1^13*T2^14 + 
      776*T1^14*T2^14 - 554*T1^15*T2^14 + 199*T1^16*T2^14 - 61*T1^7*T2^15 + 
      154*T1^8*T2^15 - 154*T1^9*T2^15 + 42*T1^10*T2^15 + 304*T1^11*T2^15 - 
      624*T1^12*T2^15 + 746*T1^13*T2^15 - 554*T1^14*T2^15 + 314*T1^15*T2^15 - 
      93*T1^16*T2^15 + 23*T1^8*T2^16 - 93*T1^9*T2^16 + 199*T1^10*T2^16 - 
      317*T1^11*T2^16 + 365*T1^12*T2^16 - 317*T1^13*T2^16 + 199*T1^14*T2^16 - 
      93*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 714] -> 
  {-((2 - 8*T + 15*T^2 - 19*T^3 + 19*T^4 - 19*T^5 + 15*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-25 + 99*T1 - 185*T1^2 + 235*T1^3 - 235*T1^4 + 235*T1^5 - 
      185*T1^6 + 99*T1^7 - 25*T1^8 + 99*T2 - 326*T1*T2 + 470*T1^2*T2 - 
      438*T1^3*T2 + 304*T1^4*T2 - 304*T1^5*T2 + 106*T1^6*T2 + 102*T1^7*T2 - 
      166*T1^8*T2 + 67*T1^9*T2 - 185*T2^2 + 470*T1*T2^2 - 394*T1^2*T2^2 + 
      58*T1^3*T2^2 + 226*T1^4*T2^2 - 80*T1^5*T2^2 + 466*T1^6*T2^2 - 
      602*T1^7*T2^2 + 386*T1^8*T2^2 - 10*T1^9*T2^2 - 65*T1^10*T2^2 + 
      235*T2^3 - 438*T1*T2^3 + 58*T1^2*T2^3 + 384*T1^3*T2^3 - 490*T1^4*T2^3 + 
      36*T1^5*T2^3 - 648*T1^6*T2^3 + 512*T1^7*T2^3 + 18*T1^8*T2^3 - 
      452*T1^9*T2^3 + 234*T1^10*T2^3 + 7*T1^11*T2^3 - 235*T2^4 + 
      304*T1*T2^4 + 226*T1^2*T2^4 - 490*T1^3*T2^4 + 308*T1^4*T2^4 + 
      258*T1^5*T2^4 + 670*T1^6*T2^4 - 198*T1^7*T2^4 - 452*T1^8*T2^4 + 
      574*T1^9*T2^4 + 74*T1^10*T2^4 - 304*T1^11*T2^4 + 69*T1^12*T2^4 + 
      235*T2^5 - 304*T1*T2^5 - 80*T1^2*T2^5 + 36*T1^3*T2^5 + 258*T1^4*T2^5 - 
      669*T1^5*T2^5 - 527*T1^6*T2^5 - 223*T1^7*T2^5 + 699*T1^8*T2^5 - 
      331*T1^9*T2^5 - 344*T1^10*T2^5 + 148*T1^11*T2^5 + 304*T1^12*T2^5 - 
      145*T1^13*T2^5 - 185*T2^6 + 106*T1*T2^6 + 466*T1^2*T2^6 - 
      648*T1^3*T2^6 + 670*T1^4*T2^6 - 527*T1^5*T2^6 + 1580*T1^6*T2^6 - 
      166*T1^7*T2^6 - 488*T1^8*T2^6 + 119*T1^9*T2^6 - 52*T1^10*T2^6 + 
      492*T1^11*T2^6 - 558*T1^12*T2^6 - 118*T1^13*T2^6 + 175*T1^14*T2^6 + 
      99*T2^7 + 102*T1*T2^7 - 602*T1^2*T2^7 + 512*T1^3*T2^7 - 198*T1^4*T2^7 - 
      223*T1^5*T2^7 - 166*T1^6*T2^7 - 1430*T1^7*T2^7 + 1242*T1^8*T2^7 - 
      57*T1^9*T2^7 + 157*T1^10*T2^7 - 141*T1^11*T2^7 - 242*T1^12*T2^7 + 
      808*T1^13*T2^7 - 202*T1^14*T2^7 - 125*T1^15*T2^7 - 25*T2^8 - 
      166*T1*T2^8 + 386*T1^2*T2^8 + 18*T1^3*T2^8 - 452*T1^4*T2^8 + 
      699*T1^5*T2^8 - 488*T1^6*T2^8 + 1242*T1^7*T2^8 - 144*T1^8*T2^8 - 
      1034*T1^9*T2^8 + 54*T1^10*T2^8 - 327*T1^11*T2^8 + 584*T1^12*T2^8 - 
      586*T1^13*T2^8 - 406*T1^14*T2^8 + 346*T1^15*T2^8 + 39*T1^16*T2^8 + 
      67*T1*T2^9 - 10*T1^2*T2^9 - 452*T1^3*T2^9 + 574*T1^4*T2^9 - 
      331*T1^5*T2^9 + 119*T1^6*T2^9 - 57*T1^7*T2^9 - 1034*T1^8*T2^9 + 
      1638*T1^9*T2^9 + 52*T1^10*T2^9 + 499*T1^11*T2^9 - 274*T1^12*T2^9 - 
      180*T1^13*T2^9 + 958*T1^14*T2^9 - 314*T1^15*T2^9 - 157*T1^16*T2^9 - 
      65*T1^2*T2^10 + 234*T1^3*T2^10 + 74*T1^4*T2^10 - 344*T1^5*T2^10 - 
      52*T1^6*T2^10 + 157*T1^7*T2^10 + 54*T1^8*T2^10 + 52*T1^9*T2^10 - 
      2014*T1^10*T2^10 + 803*T1^11*T2^10 - 774*T1^12*T2^10 + 
      796*T1^13*T2^10 - 950*T1^14*T2^10 + 10*T1^15*T2^10 + 295*T1^16*T2^10 + 
      7*T1^3*T2^11 - 304*T1^4*T2^11 + 148*T1^5*T2^11 + 492*T1^6*T2^11 - 
      141*T1^7*T2^11 - 327*T1^8*T2^11 + 499*T1^9*T2^11 + 803*T1^10*T2^11 + 
      1041*T1^11*T2^11 - 730*T1^12*T2^11 + 112*T1^13*T2^11 + 
      376*T1^14*T2^11 + 304*T1^15*T2^11 - 373*T1^16*T2^11 + 69*T1^4*T2^12 + 
      304*T1^5*T2^12 - 558*T1^6*T2^12 - 242*T1^7*T2^12 + 584*T1^8*T2^12 - 
      274*T1^9*T2^12 - 774*T1^10*T2^12 - 730*T1^11*T2^12 - 176*T1^12*T2^12 + 
      822*T1^13*T2^12 - 710*T1^14*T2^12 - 304*T1^15*T2^12 + 373*T1^16*T2^12 - 
      145*T1^5*T2^13 - 118*T1^6*T2^13 + 808*T1^7*T2^13 - 586*T1^8*T2^13 - 
      180*T1^9*T2^13 + 796*T1^10*T2^13 + 112*T1^11*T2^13 + 822*T1^12*T2^13 - 
      952*T1^13*T2^13 + 298*T1^14*T2^13 + 554*T1^15*T2^13 - 373*T1^16*T2^13 + 
      175*T1^6*T2^14 - 202*T1^7*T2^14 - 406*T1^8*T2^14 + 958*T1^9*T2^14 - 
      950*T1^10*T2^14 + 376*T1^11*T2^14 - 710*T1^12*T2^14 + 298*T1^13*T2^14 + 
      374*T1^14*T2^14 - 682*T1^15*T2^14 + 295*T1^16*T2^14 - 125*T1^7*T2^15 + 
      346*T1^8*T2^15 - 314*T1^9*T2^15 + 10*T1^10*T2^15 + 304*T1^11*T2^15 - 
      304*T1^12*T2^15 + 554*T1^13*T2^15 - 682*T1^14*T2^15 + 506*T1^15*T2^15 - 
      157*T1^16*T2^15 + 39*T1^8*T2^16 - 157*T1^9*T2^16 + 295*T1^10*T2^16 - 
      373*T1^11*T2^16 + 373*T1^12*T2^16 - 373*T1^13*T2^16 + 295*T1^14*T2^16 - 
      157*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 715] -> 
  {-(((-2 + 4*T - 5*T^2 + 2*T^3)*(-2 + 5*T - 4*T^2 + 2*T^3))/T^3), 
   -((-192 + 860*T1 - 1816*T1^2 + 2344*T1^3 - 1816*T1^4 + 860*T1^5 - 
      192*T1^6 + 860*T2 - 3286*T1*T2 + 5588*T1^2*T2 - 5104*T1^3*T2 + 
      1160*T1^4*T2 + 1556*T1^5*T2 - 1702*T1^6*T2 + 572*T1^7*T2 - 1816*T2^2 + 
      5588*T1*T2^2 - 6361*T1^2*T2^2 + 733*T1^3*T2^2 + 8301*T1^4*T2^2 - 
      8691*T1^5*T2^2 + 3975*T1^6*T2^2 + 116*T1^7*T2^2 - 600*T1^8*T2^2 + 
      2344*T2^3 - 5104*T1*T2^3 + 733*T1^2*T2^3 + 10352*T1^3*T2^3 - 
      18474*T1^4*T2^3 + 8106*T1^5*T2^3 + 3212*T1^6*T2^3 - 6563*T1^7*T2^3 + 
      2744*T1^8*T2^3 - 8*T1^9*T2^3 - 1816*T2^4 + 1160*T1*T2^4 + 
      8301*T1^2*T2^4 - 18474*T1^3*T2^4 + 15545*T1^4*T2^4 + 8153*T1^5*T2^4 - 
      18467*T1^6*T2^4 + 11710*T1^7*T2^4 - 347*T1^8*T2^4 - 2728*T1^9*T2^4 + 
      616*T1^10*T2^4 + 860*T2^5 + 1556*T1*T2^5 - 8691*T1^2*T2^5 + 
      8106*T1^3*T2^5 + 8153*T1^4*T2^5 - 30992*T1^5*T2^5 + 24010*T1^6*T2^5 - 
      1043*T1^7*T2^5 - 11266*T1^8*T2^5 + 7117*T1^9*T2^5 - 172*T1^10*T2^5 - 
      580*T1^11*T2^5 - 192*T2^6 - 1702*T1*T2^6 + 3975*T1^2*T2^6 + 
      3212*T1^3*T2^6 - 18467*T1^4*T2^6 + 24010*T1^5*T2^6 - 672*T1^6*T2^6 - 
      23182*T1^7*T2^6 + 19869*T1^8*T2^6 - 4228*T1^9*T2^6 - 4153*T1^10*T2^6 + 
      1754*T1^11*T2^6 + 192*T1^12*T2^6 + 572*T1*T2^7 + 116*T1^2*T2^7 - 
      6563*T1^3*T2^7 + 11710*T1^4*T2^7 - 1043*T1^5*T2^7 - 23182*T1^6*T2^7 + 
      31820*T1^7*T2^7 - 10239*T1^8*T2^7 - 7662*T1^9*T2^7 + 9245*T1^10*T2^7 - 
      1612*T1^11*T2^7 - 868*T1^12*T2^7 - 600*T1^2*T2^8 + 2744*T1^3*T2^8 - 
      347*T1^4*T2^8 - 11266*T1^5*T2^8 + 19869*T1^6*T2^8 - 10239*T1^7*T2^8 - 
      14143*T1^8*T2^8 + 18918*T1^9*T2^8 - 8995*T1^10*T2^8 - 1144*T1^11*T2^8 + 
      1832*T1^12*T2^8 - 8*T1^3*T2^9 - 2728*T1^4*T2^9 + 7117*T1^5*T2^9 - 
      4228*T1^6*T2^9 - 7662*T1^7*T2^9 + 18918*T1^8*T2^9 - 11368*T1^9*T2^9 - 
      179*T1^10*T2^9 + 5120*T1^11*T2^9 - 2360*T1^12*T2^9 + 616*T1^4*T2^10 - 
      172*T1^5*T2^10 - 4153*T1^6*T2^10 + 9245*T1^7*T2^10 - 8995*T1^8*T2^10 - 
      179*T1^9*T2^10 + 6183*T1^10*T2^10 - 5644*T1^11*T2^10 + 
      1832*T1^12*T2^10 - 580*T1^5*T2^11 + 1754*T1^6*T2^11 - 1612*T1^7*T2^11 - 
      1144*T1^8*T2^11 + 5120*T1^9*T2^11 - 5644*T1^10*T2^11 + 
      3338*T1^11*T2^11 - 868*T1^12*T2^11 + 192*T1^6*T2^12 - 868*T1^7*T2^12 + 
      1832*T1^8*T2^12 - 2360*T1^9*T2^12 + 1832*T1^10*T2^12 - 
      868*T1^11*T2^12 + 192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 716] -> 
  {(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 5*T^6 - 5*T^7 + 5*T^8 - 3*T^9 + 
     T^10)/T^5, (-2 + 6*T1 - 10*T1^2 + 10*T1^3 - 10*T1^4 + 10*T1^5 - 
     10*T1^6 + 10*T1^7 - 10*T1^8 + 6*T1^9 - 2*T1^10 + 6*T2 - 15*T1*T2 + 
     21*T1^2*T2 - 15*T1^3*T2 + 15*T1^4*T2 - 15*T1^5*T2 + 15*T1^6*T2 - 
     15*T1^7*T2 + 15*T1^8*T2 - 3*T1^9*T2 - 3*T1^10*T2 + 3*T1^11*T2 - 
     10*T2^2 + 21*T1*T2^2 - 23*T1^2*T2^2 + 7*T1^3*T2^2 - 9*T1^4*T2^2 + 
     9*T1^5*T2^2 - 9*T1^6*T2^2 + 9*T1^7*T2^2 - 9*T1^8*T2^2 - 13*T1^9*T2^2 + 
     17*T1^10*T2^2 - 9*T1^11*T2^2 + 10*T2^3 - 15*T1*T2^3 + 7*T1^2*T2^3 + 
     14*T1^3*T2^3 - 4*T1^4*T2^3 + 26*T1^9*T2^3 - 16*T1^10*T2^3 - 
     8*T1^11*T2^3 + 15*T1^12*T2^3 - 5*T1^13*T2^3 - 10*T2^4 + 15*T1*T2^4 - 
     9*T1^2*T2^4 - 4*T1^3*T2^4 - 14*T1^4*T2^4 + 18*T1^5*T2^4 - 10*T1^6*T2^4 + 
     10*T1^7*T2^4 - 10*T1^8*T2^4 - 22*T1^9*T2^4 + 6*T1^10*T2^4 + 
     16*T1^11*T2^4 + T1^12*T2^4 - 15*T1^13*T2^4 + 10*T1^14*T2^4 + 10*T2^5 - 
     15*T1*T2^5 + 9*T1^2*T2^5 + 18*T1^4*T2^5 - 21*T1^5*T2^5 + 11*T1^6*T2^5 - 
     25*T1^7*T2^5 + 25*T1^8*T2^5 + 11*T1^9*T2^5 + 19*T1^10*T2^5 - 
     37*T1^11*T2^5 - 6*T1^13*T2^5 + 15*T1^14*T2^5 - 15*T1^15*T2^5 - 10*T2^6 + 
     15*T1*T2^6 - 9*T1^2*T2^6 - 10*T1^4*T2^6 + 11*T1^5*T2^6 - 4*T1^6*T2^6 + 
     28*T1^7*T2^6 - 10*T1^8*T2^6 - 32*T1^9*T2^6 - 4*T1^10*T2^6 + T1^11*T2^6 + 
     40*T1^12*T2^6 + 11*T1^14*T2^6 - 15*T1^15*T2^6 + 20*T1^16*T2^6 + 
     10*T2^7 - 15*T1*T2^7 + 9*T1^2*T2^7 + 10*T1^4*T2^7 - 25*T1^5*T2^7 + 
     28*T1^6*T2^7 - 56*T1^7*T2^7 + 26*T1^8*T2^7 - 4*T1^9*T2^7 + 
     54*T1^10*T2^7 - 47*T1^11*T2^7 + 25*T1^12*T2^7 - 65*T1^13*T2^7 - 
     16*T1^15*T2^7 + 15*T1^16*T2^7 - 25*T1^17*T2^7 - 10*T2^8 + 15*T1*T2^8 - 
     9*T1^2*T2^8 - 10*T1^4*T2^8 + 25*T1^5*T2^8 - 10*T1^6*T2^8 + 
     26*T1^7*T2^8 + 6*T1^8*T2^8 - 14*T1^9*T2^8 - 14*T1^10*T2^8 - 
     14*T1^11*T2^8 + 40*T1^12*T2^8 - 25*T1^13*T2^8 + 90*T1^14*T2^8 + 
     21*T1^16*T2^8 - 15*T1^17*T2^8 + 30*T1^18*T2^8 + 6*T2^9 - 3*T1*T2^9 - 
     13*T1^2*T2^9 + 26*T1^3*T2^9 - 22*T1^4*T2^9 + 11*T1^5*T2^9 - 
     32*T1^6*T2^9 - 4*T1^7*T2^9 - 14*T1^8*T2^9 + 3*T1^9*T2^9 + 
     21*T1^10*T2^9 - 19*T1^11*T2^9 + 6*T1^12*T2^9 - 17*T1^13*T2^9 - 
     29*T1^14*T2^9 - 57*T1^15*T2^9 - 64*T1^16*T2^9 + 42*T1^17*T2^9 - 
     27*T1^18*T2^9 - 21*T1^19*T2^9 - 2*T2^10 - 3*T1*T2^10 + 17*T1^2*T2^10 - 
     16*T1^3*T2^10 + 6*T1^4*T2^10 + 19*T1^5*T2^10 - 4*T1^6*T2^10 + 
     54*T1^7*T2^10 - 14*T1^8*T2^10 + 21*T1^9*T2^10 - 21*T1^11*T2^10 + 
     76*T1^12*T2^10 - 86*T1^13*T2^10 + 136*T1^14*T2^10 - 71*T1^15*T2^10 + 
     196*T1^16*T2^10 - 56*T1^17*T2^10 + T1^18*T2^10 + 39*T1^19*T2^10 + 
     8*T1^20*T2^10 + 3*T1*T2^11 - 9*T1^2*T2^11 - 8*T1^3*T2^11 + 
     16*T1^4*T2^11 - 37*T1^5*T2^11 + T1^6*T2^11 - 47*T1^7*T2^11 - 
     14*T1^8*T2^11 - 19*T1^9*T2^11 - 21*T1^10*T2^11 - 3*T1^11*T2^11 - 
     24*T1^12*T2^11 - 4*T1^13*T2^11 - 32*T1^14*T2^11 - 39*T1^15*T2^11 - 
     72*T1^16*T2^11 - 74*T1^17*T2^11 + 47*T1^18*T2^11 - 33*T1^19*T2^11 - 
     24*T1^20*T2^11 + 15*T1^3*T2^12 + T1^4*T2^12 + 40*T1^6*T2^12 + 
     25*T1^7*T2^12 + 40*T1^8*T2^12 + 6*T1^9*T2^12 + 76*T1^10*T2^12 - 
     24*T1^11*T2^12 + 56*T1^12*T2^12 - 34*T1^13*T2^12 + 90*T1^14*T2^12 - 
     25*T1^15*T2^12 + 140*T1^16*T2^12 + 31*T1^18*T2^12 - 15*T1^19*T2^12 + 
     40*T1^20*T2^12 - 5*T1^3*T2^13 - 15*T1^4*T2^13 - 6*T1^5*T2^13 - 
     65*T1^7*T2^13 - 25*T1^8*T2^13 - 17*T1^9*T2^13 - 86*T1^10*T2^13 - 
     4*T1^11*T2^13 - 34*T1^12*T2^13 + 24*T1^13*T2^13 - 92*T1^14*T2^13 + 
     25*T1^15*T2^13 - 140*T1^16*T2^13 - 31*T1^18*T2^13 + 15*T1^19*T2^13 - 
     40*T1^20*T2^13 + 10*T1^4*T2^14 + 15*T1^5*T2^14 + 11*T1^6*T2^14 + 
     90*T1^8*T2^14 - 29*T1^9*T2^14 + 136*T1^10*T2^14 - 32*T1^11*T2^14 + 
     90*T1^12*T2^14 - 92*T1^13*T2^14 + 136*T1^14*T2^14 - 39*T1^15*T2^14 + 
     140*T1^16*T2^14 + 31*T1^18*T2^14 - 15*T1^19*T2^14 + 40*T1^20*T2^14 - 
     15*T1^5*T2^15 - 15*T1^6*T2^15 - 16*T1^7*T2^15 - 57*T1^9*T2^15 - 
     71*T1^10*T2^15 - 39*T1^11*T2^15 - 25*T1^12*T2^15 + 25*T1^13*T2^15 - 
     39*T1^14*T2^15 - 31*T1^15*T2^15 - 112*T1^16*T2^15 - 31*T1^18*T2^15 + 
     15*T1^19*T2^15 - 40*T1^20*T2^15 + 20*T1^6*T2^16 + 15*T1^7*T2^16 + 
     21*T1^8*T2^16 - 64*T1^9*T2^16 + 196*T1^10*T2^16 - 72*T1^11*T2^16 + 
     140*T1^12*T2^16 - 140*T1^13*T2^16 + 140*T1^14*T2^16 - 112*T1^15*T2^16 + 
     216*T1^16*T2^16 - 44*T1^17*T2^16 + 31*T1^18*T2^16 - 15*T1^19*T2^16 + 
     40*T1^20*T2^16 - 25*T1^7*T2^17 - 15*T1^8*T2^17 + 42*T1^9*T2^17 - 
     56*T1^10*T2^17 - 74*T1^11*T2^17 - 44*T1^16*T2^17 - 86*T1^17*T2^17 + 
     27*T1^18*T2^17 + 15*T1^19*T2^17 - 40*T1^20*T2^17 + 30*T1^8*T2^18 - 
     27*T1^9*T2^18 + T1^10*T2^18 + 47*T1^11*T2^18 + 31*T1^12*T2^18 - 
     31*T1^13*T2^18 + 31*T1^14*T2^18 - 31*T1^15*T2^18 + 31*T1^16*T2^18 + 
     27*T1^17*T2^18 + 41*T1^18*T2^18 - 57*T1^19*T2^18 + 40*T1^20*T2^18 - 
     21*T1^9*T2^19 + 39*T1^10*T2^19 - 33*T1^11*T2^19 - 15*T1^12*T2^19 + 
     15*T1^13*T2^19 - 15*T1^14*T2^19 + 15*T1^15*T2^19 - 15*T1^16*T2^19 + 
     15*T1^17*T2^19 - 57*T1^18*T2^19 + 51*T1^19*T2^19 - 24*T1^20*T2^19 + 
     8*T1^10*T2^20 - 24*T1^11*T2^20 + 40*T1^12*T2^20 - 40*T1^13*T2^20 + 
     40*T1^14*T2^20 - 40*T1^15*T2^20 + 40*T1^16*T2^20 - 40*T1^17*T2^20 + 
     40*T1^18*T2^20 - 24*T1^19*T2^20 + 8*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 717] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 15*T^4 - 15*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-15 + 53*T1 - 99*T1^2 + 115*T1^3 - 115*T1^4 + 115*T1^5 - 99*T1^6 + 
     53*T1^7 - 15*T1^8 + 53*T2 - 162*T1*T2 + 260*T1^2*T2 - 238*T1^3*T2 + 
     210*T1^4*T2 - 210*T1^5*T2 + 154*T1^6*T2 - 20*T1^7*T2 - 36*T1^8*T2 + 
     25*T1^9*T2 - 99*T2^2 + 260*T1*T2^2 - 330*T1^2*T2^2 + 164*T1^3*T2^2 - 
     80*T1^4*T2^2 + 88*T1^5*T2^2 + 24*T1^6*T2^2 - 252*T1^7*T2^2 + 
     242*T1^8*T2^2 - 104*T1^9*T2^2 + 5*T1^10*T2^2 + 115*T2^3 - 238*T1*T2^3 + 
     164*T1^2*T2^3 + 149*T1^3*T2^3 - 181*T1^4*T2^3 + 47*T1^5*T2^3 - 
     163*T1^6*T2^3 + 387*T1^7*T2^3 - 141*T1^8*T2^3 - 187*T1^9*T2^3 + 
     210*T1^10*T2^3 - 65*T1^11*T2^3 - 115*T2^4 + 210*T1*T2^4 - 80*T1^2*T2^4 - 
     181*T1^3*T2^4 + 35*T1^4*T2^4 + 221*T1^5*T2^4 + 37*T1^6*T2^4 - 
     319*T1^7*T2^4 - 85*T1^8*T2^4 + 329*T1^9*T2^4 + 10*T1^10*T2^4 - 
     210*T1^11*T2^4 + 125*T1^12*T2^4 + 115*T2^5 - 210*T1*T2^5 + 
     88*T1^2*T2^5 + 47*T1^3*T2^5 + 221*T1^4*T2^5 - 494*T1^5*T2^5 + 
     74*T1^6*T2^5 + 44*T1^7*T2^5 + 586*T1^8*T2^5 - 574*T1^9*T2^5 - 
     43*T1^10*T2^5 - 47*T1^11*T2^5 + 210*T1^12*T2^5 - 185*T1^13*T2^5 - 
     99*T2^6 + 154*T1*T2^6 + 24*T1^2*T2^6 - 163*T1^3*T2^6 + 37*T1^4*T2^6 + 
     74*T1^5*T2^6 + 410*T1^6*T2^6 - 172*T1^7*T2^6 - 454*T1^8*T2^6 + 
     74*T1^9*T2^6 + 367*T1^10*T2^6 + 227*T1^11*T2^6 - 108*T1^12*T2^6 - 
     98*T1^13*T2^6 + 213*T1^14*T2^6 + 53*T2^7 - 20*T1*T2^7 - 252*T1^2*T2^7 + 
     387*T1^3*T2^7 - 319*T1^4*T2^7 + 44*T1^5*T2^7 - 172*T1^6*T2^7 - 
     541*T1^7*T2^7 + 871*T1^8*T2^7 - 281*T1^9*T2^7 + 134*T1^10*T2^7 - 
     544*T1^11*T2^7 - 413*T1^12*T2^7 + 489*T1^13*T2^7 - 244*T1^14*T2^7 - 
     143*T1^15*T2^7 - 15*T2^8 - 36*T1*T2^8 + 242*T1^2*T2^8 - 141*T1^3*T2^8 - 
     85*T1^4*T2^8 + 586*T1^5*T2^8 - 454*T1^6*T2^8 + 871*T1^7*T2^8 - 
     216*T1^8*T2^8 - 627*T1^9*T2^8 + 740*T1^10*T2^8 - 674*T1^11*T2^8 + 
     1623*T1^12*T2^8 - 631*T1^13*T2^8 - 48*T1^14*T2^8 + 328*T1^15*T2^8 + 
     49*T1^16*T2^8 + 25*T1*T2^9 - 104*T1^2*T2^9 - 187*T1^3*T2^9 + 
     329*T1^4*T2^9 - 574*T1^5*T2^9 + 74*T1^6*T2^9 - 281*T1^7*T2^9 - 
     627*T1^8*T2^9 + 785*T1^9*T2^9 - 390*T1^10*T2^9 + 164*T1^11*T2^9 - 
     799*T1^12*T2^9 - 471*T1^13*T2^9 + 554*T1^14*T2^9 - 328*T1^15*T2^9 - 
     171*T1^16*T2^9 + 5*T1^2*T2^10 + 210*T1^3*T2^10 + 10*T1^4*T2^10 - 
     43*T1^5*T2^10 + 367*T1^6*T2^10 + 134*T1^7*T2^10 + 740*T1^8*T2^10 - 
     390*T1^9*T2^10 - 124*T1^10*T2^10 + 134*T1^11*T2^10 + 697*T1^12*T2^10 + 
     347*T1^13*T2^10 - 122*T1^14*T2^10 - 42*T1^15*T2^10 + 317*T1^16*T2^10 - 
     65*T1^3*T2^11 - 210*T1^4*T2^11 - 47*T1^5*T2^11 + 227*T1^6*T2^11 - 
     544*T1^7*T2^11 - 674*T1^8*T2^11 + 164*T1^9*T2^11 + 134*T1^10*T2^11 + 
     406*T1^11*T2^11 - 1339*T1^12*T2^11 + 137*T1^13*T2^11 - 182*T1^14*T2^11 + 
     210*T1^15*T2^11 - 365*T1^16*T2^11 + 125*T1^4*T2^12 + 210*T1^5*T2^12 - 
     108*T1^6*T2^12 - 413*T1^7*T2^12 + 1623*T1^8*T2^12 - 799*T1^9*T2^12 + 
     697*T1^10*T2^12 - 1339*T1^11*T2^12 + 1503*T1^12*T2^12 + 97*T1^13*T2^12 - 
     18*T1^14*T2^12 - 210*T1^15*T2^12 + 365*T1^16*T2^12 - 185*T1^5*T2^13 - 
     98*T1^6*T2^13 + 489*T1^7*T2^13 - 631*T1^8*T2^13 - 471*T1^9*T2^13 + 
     347*T1^10*T2^13 + 137*T1^11*T2^13 + 97*T1^12*T2^13 - 921*T1^13*T2^13 + 
     138*T1^14*T2^13 + 350*T1^15*T2^13 - 365*T1^16*T2^13 + 213*T1^6*T2^14 - 
     244*T1^7*T2^14 - 48*T1^8*T2^14 + 554*T1^9*T2^14 - 122*T1^10*T2^14 - 
     182*T1^11*T2^14 - 18*T1^12*T2^14 + 138*T1^13*T2^14 + 524*T1^14*T2^14 - 
     608*T1^15*T2^14 + 317*T1^16*T2^14 - 143*T1^7*T2^15 + 328*T1^8*T2^15 - 
     328*T1^9*T2^15 - 42*T1^10*T2^15 + 210*T1^11*T2^15 - 210*T1^12*T2^15 + 
     350*T1^13*T2^15 - 608*T1^14*T2^15 + 454*T1^15*T2^15 - 171*T1^16*T2^15 + 
     49*T1^8*T2^16 - 171*T1^9*T2^16 + 317*T1^10*T2^16 - 365*T1^11*T2^16 + 
     365*T1^12*T2^16 - 365*T1^13*T2^16 + 317*T1^14*T2^16 - 171*T1^15*T2^16 + 
     49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 718] -> 
  {((1 - T + T^2)*(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6))/T^4, 
   (-15 + 61*T1 - 139*T1^2 + 211*T1^3 - 243*T1^4 + 211*T1^5 - 139*T1^6 + 
     61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 442*T1^2*T2 - 576*T1^3*T2 + 
     560*T1^4*T2 - 368*T1^5*T2 + 144*T1^6*T2 + 26*T1^7*T2 - 58*T1^8*T2 + 
     29*T1^9*T2 - 139*T2^2 + 442*T1*T2^2 - 788*T1^2*T2^2 + 838*T1^3*T2^2 - 
     586*T1^4*T2^2 + 58*T1^5*T2^2 + 350*T1^6*T2^2 - 530*T1^7*T2^2 + 
     364*T1^8*T2^2 - 134*T1^9*T2^2 + 5*T1^10*T2^2 + 211*T2^3 - 576*T1*T2^3 + 
     838*T1^2*T2^3 - 586*T1^3*T2^3 + 72*T1^4*T2^3 + 508*T1^5*T2^3 - 
     554*T1^6*T2^3 + 234*T1^7*T2^3 + 368*T1^8*T2^3 - 638*T1^9*T2^3 + 
     432*T1^10*T2^3 - 113*T1^11*T2^3 - 243*T2^4 + 560*T1*T2^4 - 
     586*T1^2*T2^4 + 72*T1^3*T2^4 + 457*T1^4*T2^4 - 701*T1^5*T2^4 + 
     285*T1^6*T2^4 + 203*T1^7*T2^4 - 559*T1^8*T2^4 + 288*T1^9*T2^4 + 
     422*T1^10*T2^4 - 560*T1^11*T2^4 + 253*T1^12*T2^4 + 211*T2^5 - 
     368*T1*T2^5 + 58*T1^2*T2^5 + 508*T1^3*T2^5 - 701*T1^4*T2^5 + 
     176*T1^5*T2^5 + 646*T1^6*T2^5 - 1082*T1^7*T2^5 + 860*T1^8*T2^5 - 
     131*T1^9*T2^5 - 734*T1^10*T2^5 + 178*T1^11*T2^5 + 304*T1^12*T2^5 - 
     329*T1^13*T2^5 - 139*T2^6 + 144*T1*T2^6 + 350*T1^2*T2^6 - 
     554*T1^3*T2^6 + 285*T1^4*T2^6 + 646*T1^5*T2^6 - 722*T1^6*T2^6 + 
     304*T1^7*T2^6 + 826*T1^8*T2^6 - 1334*T1^9*T2^6 + 1509*T1^10*T2^6 + 
     238*T1^11*T2^6 - 442*T1^12*T2^6 + 144*T1^13*T2^6 + 293*T1^14*T2^6 + 
     61*T2^7 + 26*T1*T2^7 - 530*T1^2*T2^7 + 234*T1^3*T2^7 + 203*T1^4*T2^7 - 
     1082*T1^5*T2^7 + 304*T1^6*T2^7 - 123*T1^7*T2^7 - 659*T1^8*T2^7 - 
     29*T1^9*T2^7 + 142*T1^10*T2^7 - 1703*T1^11*T2^7 + 288*T1^12*T2^7 + 
     298*T1^13*T2^7 - 518*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 364*T1^2*T2^8 + 368*T1^3*T2^8 - 559*T1^4*T2^8 + 
     860*T1^5*T2^8 + 826*T1^6*T2^8 - 659*T1^7*T2^8 + 1548*T1^8*T2^8 - 
     441*T1^9*T2^8 + 916*T1^10*T2^8 + 236*T1^11*T2^8 + 1729*T1^12*T2^8 - 
     1036*T1^13*T2^8 + 460*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 134*T1^2*T2^9 - 638*T1^3*T2^9 + 288*T1^4*T2^9 - 
     131*T1^5*T2^9 - 1334*T1^6*T2^9 - 29*T1^7*T2^9 - 441*T1^8*T2^9 - 
     977*T1^9*T2^9 - 362*T1^10*T2^9 - 110*T1^11*T2^9 - 2037*T1^12*T2^9 + 
     342*T1^13*T2^9 + 190*T1^14*T2^9 - 678*T1^15*T2^9 - 195*T1^16*T2^9 + 
     5*T1^2*T2^10 + 432*T1^3*T2^10 + 422*T1^4*T2^10 - 734*T1^5*T2^10 + 
     1509*T1^6*T2^10 + 142*T1^7*T2^10 + 916*T1^8*T2^10 - 362*T1^9*T2^10 + 
     2464*T1^10*T2^10 - 1838*T1^11*T2^10 + 2733*T1^12*T2^10 + 
     58*T1^13*T2^10 - 370*T1^14*T2^10 + 432*T1^15*T2^10 + 437*T1^16*T2^10 - 
     113*T1^3*T2^11 - 560*T1^4*T2^11 + 178*T1^5*T2^11 + 238*T1^6*T2^11 - 
     1703*T1^7*T2^11 + 236*T1^8*T2^11 - 110*T1^9*T2^11 - 1838*T1^10*T2^11 + 
     920*T1^11*T2^11 - 1133*T1^12*T2^11 - 1004*T1^13*T2^11 + 
     298*T1^14*T2^11 + 112*T1^15*T2^11 - 653*T1^16*T2^11 + 253*T1^4*T2^12 + 
     304*T1^5*T2^12 - 442*T1^6*T2^12 + 288*T1^7*T2^12 + 1729*T1^8*T2^12 - 
     2037*T1^9*T2^12 + 2733*T1^10*T2^12 - 1133*T1^11*T2^12 + 
     713*T1^12*T2^12 + 504*T1^13*T2^12 + 566*T1^14*T2^12 - 816*T1^15*T2^12 + 
     749*T1^16*T2^12 - 329*T1^5*T2^13 + 144*T1^6*T2^13 + 298*T1^7*T2^13 - 
     1036*T1^8*T2^13 + 342*T1^9*T2^13 + 58*T1^10*T2^13 - 1004*T1^11*T2^13 + 
     504*T1^12*T2^13 - 82*T1^13*T2^13 - 1178*T1^14*T2^13 + 1152*T1^15*T2^13 - 
     653*T1^16*T2^13 + 293*T1^6*T2^14 - 518*T1^7*T2^14 + 460*T1^8*T2^14 + 
     190*T1^9*T2^14 - 370*T1^10*T2^14 + 298*T1^11*T2^14 + 566*T1^12*T2^14 - 
     1178*T1^13*T2^14 + 1612*T1^14*T2^14 - 1094*T1^15*T2^14 + 
     437*T1^16*T2^14 - 163*T1^7*T2^15 + 454*T1^8*T2^15 - 678*T1^9*T2^15 + 
     432*T1^10*T2^15 + 112*T1^11*T2^15 - 816*T1^12*T2^15 + 1152*T1^13*T2^15 - 
     1094*T1^14*T2^15 + 614*T1^15*T2^15 - 195*T1^16*T2^15 + 49*T1^8*T2^16 - 
     195*T1^9*T2^16 + 437*T1^10*T2^16 - 653*T1^11*T2^16 + 749*T1^12*T2^16 - 
     653*T1^13*T2^16 + 437*T1^14*T2^16 - 195*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 719] -> 
  {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   (-112 + 456*T1 - 952*T1^2 + 1192*T1^3 - 952*T1^4 + 456*T1^5 - 112*T1^6 + 
     456*T2 - 1652*T1*T2 + 3032*T1^2*T2 - 3080*T1^3*T2 + 1656*T1^4*T2 - 
     104*T1^5*T2 - 372*T1^6*T2 + 200*T1^7*T2 - 952*T2^2 + 3032*T1*T2^2 - 
     4522*T1^2*T2^2 + 2602*T1^3*T2^2 + 1474*T1^4*T2^2 - 3998*T1^5*T2^2 + 
     3134*T1^6*T2^2 - 1192*T1^7*T2^2 + 104*T1^8*T2^2 + 1192*T2^3 - 
     3080*T1*T2^3 + 2602*T1^2*T2^3 + 2578*T1^3*T2^3 - 7838*T1^4*T2^3 + 
     7126*T1^5*T2^3 - 1154*T1^6*T2^3 - 3074*T1^7*T2^3 + 2680*T1^8*T2^3 - 
     776*T1^9*T2^3 - 952*T2^4 + 1656*T1*T2^4 + 1474*T1^2*T2^4 - 
     7838*T1^3*T2^4 + 9816*T1^4*T2^4 - 1946*T1^5*T2^4 - 7672*T1^6*T2^4 + 
     8562*T1^7*T2^4 - 2094*T1^8*T2^4 - 1544*T1^9*T2^4 + 1160*T1^10*T2^4 + 
     456*T2^5 - 104*T1*T2^5 - 3998*T1^2*T2^5 + 7126*T1^3*T2^5 - 
     1946*T1^4*T2^5 - 11899*T1^5*T2^5 + 17007*T1^6*T2^5 - 7523*T1^7*T2^5 - 
     4966*T1^8*T2^5 + 5374*T1^9*T2^5 - 1320*T1^10*T2^5 - 824*T1^11*T2^5 - 
     112*T2^6 - 372*T1*T2^6 + 3134*T1^2*T2^6 - 1154*T1^3*T2^6 - 
     7672*T1^4*T2^6 + 17007*T1^5*T2^6 - 8100*T1^6*T2^6 - 9283*T1^7*T2^6 + 
     16674*T1^8*T2^6 - 6146*T1^9*T2^6 - 1370*T1^10*T2^6 + 2188*T1^11*T2^6 + 
     272*T1^12*T2^6 + 200*T1*T2^7 - 1192*T1^2*T2^7 - 3074*T1^3*T2^7 + 
     8562*T1^4*T2^7 - 7523*T1^5*T2^7 - 9283*T1^6*T2^7 + 19623*T1^7*T2^7 - 
     13100*T1^8*T2^7 - 3530*T1^9*T2^7 + 6298*T1^10*T2^7 - 2408*T1^11*T2^7 - 
     1080*T1^12*T2^7 + 104*T1^2*T2^8 + 2680*T1^3*T2^8 - 2094*T1^4*T2^8 - 
     4966*T1^5*T2^8 + 16674*T1^6*T2^8 - 13100*T1^7*T2^8 - 814*T1^8*T2^8 + 
     11434*T1^9*T2^8 - 5662*T1^10*T2^8 - 520*T1^11*T2^8 + 2216*T1^12*T2^8 - 
     776*T1^3*T2^9 - 1544*T1^4*T2^9 + 5374*T1^5*T2^9 - 6146*T1^6*T2^9 - 
     3530*T1^7*T2^9 + 11434*T1^8*T2^9 - 9878*T1^9*T2^9 - 302*T1^10*T2^9 + 
     4216*T1^11*T2^9 - 2744*T1^12*T2^9 + 1160*T1^4*T2^10 - 1320*T1^5*T2^10 - 
     1370*T1^6*T2^10 + 6298*T1^7*T2^10 - 5662*T1^8*T2^10 - 302*T1^9*T2^10 + 
     6286*T1^10*T2^10 - 5544*T1^11*T2^10 + 2216*T1^12*T2^10 - 
     824*T1^5*T2^11 + 2188*T1^6*T2^11 - 2408*T1^7*T2^11 - 520*T1^8*T2^11 + 
     4216*T1^9*T2^11 - 5544*T1^10*T2^11 + 3468*T1^11*T2^11 - 
     1080*T1^12*T2^11 + 272*T1^6*T2^12 - 1080*T1^7*T2^12 + 2216*T1^8*T2^12 - 
     2744*T1^9*T2^12 + 2216*T1^10*T2^12 - 1080*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 720] -> 
  {(2 - 8*T + 16*T^2 - 20*T^3 + 21*T^4 - 20*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-15 + 61*T1 - 123*T1^2 + 155*T1^3 - 163*T1^4 + 155*T1^5 - 
     123*T1^6 + 61*T1^7 - 15*T1^8 + 61*T2 - 218*T1*T2 + 378*T1^2*T2 - 
     384*T1^3*T2 + 352*T1^4*T2 - 304*T1^5*T2 + 192*T1^6*T2 - 6*T1^7*T2 - 
     58*T1^8*T2 + 29*T1^9*T2 - 123*T2^2 + 378*T1*T2^2 - 510*T1^2*T2^2 + 
     280*T1^3*T2^2 - 106*T1^4*T2^2 - 10*T1^5*T2^2 + 214*T1^6*T2^2 - 
     488*T1^7*T2^2 + 386*T1^8*T2^2 - 134*T1^9*T2^2 + 5*T1^10*T2^2 + 
     155*T2^3 - 384*T1*T2^3 + 280*T1^2*T2^3 + 272*T1^3*T2^3 - 450*T1^4*T2^3 + 
     400*T1^5*T2^3 - 528*T1^6*T2^3 + 678*T1^7*T2^3 - 160*T1^8*T2^3 - 
     360*T1^9*T2^3 + 320*T1^10*T2^3 - 85*T1^11*T2^3 - 163*T2^4 + 
     352*T1*T2^4 - 106*T1^2*T2^4 - 450*T1^3*T2^4 + 306*T1^4*T2^4 + 
     44*T1^5*T2^4 + 200*T1^6*T2^4 - 372*T1^7*T2^4 - 342*T1^8*T2^4 + 
     670*T1^9*T2^4 + 22*T1^10*T2^4 - 352*T1^11*T2^4 + 173*T1^12*T2^4 + 
     155*T2^5 - 304*T1*T2^5 - 10*T1^2*T2^5 + 400*T1^3*T2^5 + 44*T1^4*T2^5 - 
     442*T1^5*T2^5 - 140*T1^6*T2^5 + 84*T1^7*T2^5 + 862*T1^8*T2^5 - 
     748*T1^9*T2^5 - 464*T1^10*T2^5 + 182*T1^11*T2^5 + 288*T1^12*T2^5 - 
     245*T1^13*T2^5 - 123*T2^6 + 192*T1*T2^6 + 214*T1^2*T2^6 - 
     528*T1^3*T2^6 + 200*T1^4*T2^6 - 140*T1^5*T2^6 + 894*T1^6*T2^6 - 
     166*T1^7*T2^6 - 738*T1^8*T2^6 + 116*T1^9*T2^6 + 840*T1^10*T2^6 + 
     496*T1^11*T2^6 - 490*T1^12*T2^6 - 64*T1^13*T2^6 + 261*T1^14*T2^6 + 
     61*T2^7 - 6*T1*T2^7 - 488*T1^2*T2^7 + 678*T1^3*T2^7 - 372*T1^4*T2^7 + 
     84*T1^5*T2^7 - 166*T1^6*T2^7 - 1432*T1^7*T2^7 + 1668*T1^8*T2^7 - 
     598*T1^9*T2^7 - 76*T1^10*T2^7 - 1084*T1^11*T2^7 - 482*T1^12*T2^7 + 
     920*T1^13*T2^7 - 390*T1^14*T2^7 - 163*T1^15*T2^7 - 15*T2^8 - 
     58*T1*T2^8 + 386*T1^2*T2^8 - 160*T1^3*T2^8 - 342*T1^4*T2^8 + 
     862*T1^5*T2^8 - 738*T1^6*T2^8 + 1668*T1^7*T2^8 + 12*T1^8*T2^8 - 
     1500*T1^9*T2^8 + 1950*T1^10*T2^8 - 994*T1^11*T2^8 + 2634*T1^12*T2^8 - 
     1248*T1^13*T2^8 - 126*T1^14*T2^8 + 454*T1^15*T2^8 + 49*T1^16*T2^8 + 
     29*T1*T2^9 - 134*T1^2*T2^9 - 360*T1^3*T2^9 + 670*T1^4*T2^9 - 
     748*T1^5*T2^9 + 116*T1^6*T2^9 - 598*T1^7*T2^9 - 1500*T1^8*T2^9 + 
     1600*T1^9*T2^9 - 1030*T1^10*T2^9 - 44*T1^11*T2^9 - 1460*T1^12*T2^9 - 
     490*T1^13*T2^9 + 1048*T1^14*T2^9 - 518*T1^15*T2^9 - 195*T1^16*T2^9 + 
     5*T1^2*T2^10 + 320*T1^3*T2^10 + 22*T1^4*T2^10 - 464*T1^5*T2^10 + 
     840*T1^6*T2^10 - 76*T1^7*T2^10 + 1950*T1^8*T2^10 - 1030*T1^9*T2^10 + 
     318*T1^10*T2^10 + 180*T1^11*T2^10 + 1480*T1^12*T2^10 + 560*T1^13*T2^10 - 
     682*T1^14*T2^10 + 64*T1^15*T2^10 + 389*T1^16*T2^10 - 85*T1^3*T2^11 - 
     352*T1^4*T2^11 + 182*T1^5*T2^11 + 496*T1^6*T2^11 - 1084*T1^7*T2^11 - 
     994*T1^8*T2^11 - 44*T1^9*T2^11 + 180*T1^10*T2^11 + 310*T1^11*T2^11 - 
     1876*T1^12*T2^11 - 368*T1^13*T2^11 + 374*T1^14*T2^11 + 240*T1^15*T2^11 - 
     485*T1^16*T2^11 + 173*T1^4*T2^12 + 288*T1^5*T2^12 - 490*T1^6*T2^12 - 
     482*T1^7*T2^12 + 2634*T1^8*T2^12 - 1460*T1^9*T2^12 + 1480*T1^10*T2^12 - 
     1876*T1^11*T2^12 + 1986*T1^12*T2^12 + 638*T1^13*T2^12 - 
     362*T1^14*T2^12 - 416*T1^15*T2^12 + 509*T1^16*T2^12 - 245*T1^5*T2^13 - 
     64*T1^6*T2^13 + 920*T1^7*T2^13 - 1248*T1^8*T2^13 - 490*T1^9*T2^13 + 
     560*T1^10*T2^13 - 368*T1^11*T2^13 + 638*T1^12*T2^13 - 1680*T1^13*T2^13 + 
     280*T1^14*T2^13 + 640*T1^15*T2^13 - 485*T1^16*T2^13 + 261*T1^6*T2^14 - 
     390*T1^7*T2^14 - 126*T1^8*T2^14 + 1048*T1^9*T2^14 - 682*T1^10*T2^14 + 
     374*T1^11*T2^14 - 362*T1^12*T2^14 + 280*T1^13*T2^14 + 770*T1^14*T2^14 - 
     902*T1^15*T2^14 + 389*T1^16*T2^14 - 163*T1^7*T2^15 + 454*T1^8*T2^15 - 
     518*T1^9*T2^15 + 64*T1^10*T2^15 + 240*T1^11*T2^15 - 416*T1^12*T2^15 + 
     640*T1^13*T2^15 - 902*T1^14*T2^15 + 614*T1^15*T2^15 - 195*T1^16*T2^15 + 
     49*T1^8*T2^16 - 195*T1^9*T2^16 + 389*T1^10*T2^16 - 485*T1^11*T2^16 + 
     509*T1^12*T2^16 - 485*T1^13*T2^16 + 389*T1^14*T2^16 - 195*T1^15*T2^16 + 
     49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 721] -> 
  {((1 - T + T^2)*(4 - 14*T + 21*T^2 - 14*T^3 + 4*T^4))/T^3, 
   (-112 + 516*T1 - 1132*T1^2 + 1432*T1^3 - 1132*T1^4 + 516*T1^5 - 112*T1^6 + 
     516*T2 - 2138*T1*T2 + 4108*T1^2*T2 - 4172*T1^3*T2 + 2164*T1^4*T2 + 
     4*T1^5*T2 - 554*T1^6*T2 + 228*T1^7*T2 - 1132*T2^2 + 4108*T1*T2^2 - 
     6203*T1^2*T2^2 + 2869*T1^3*T2^2 + 3437*T1^4*T2^2 - 6803*T1^5*T2^2 + 
     4717*T1^6*T2^2 - 1508*T1^7*T2^2 + 116*T1^8*T2^2 + 1432*T2^3 - 
     4172*T1*T2^3 + 2869*T1^2*T2^3 + 6694*T1^3*T2^3 - 15344*T1^4*T2^3 + 
     12916*T1^5*T2^3 - 2156*T1^6*T2^3 - 4619*T1^7*T2^3 + 3604*T1^8*T2^3 - 
     920*T1^9*T2^3 - 1132*T2^4 + 2164*T1*T2^4 + 3437*T1^2*T2^4 - 
     15344*T1^3*T2^4 + 17649*T1^4*T2^4 - 1733*T1^5*T2^4 - 15195*T1^6*T2^4 + 
     15820*T1^7*T2^4 - 3979*T1^8*T2^4 - 2012*T1^9*T2^4 + 1364*T1^10*T2^4 + 
     516*T2^5 + 4*T1*T2^5 - 6803*T1^2*T2^5 + 12916*T1^3*T2^5 - 
     1733*T1^4*T2^5 - 24477*T1^5*T2^5 + 31569*T1^6*T2^5 - 13082*T1^7*T2^5 - 
     9536*T1^8*T2^5 + 9421*T1^9*T2^5 - 1940*T1^10*T2^5 - 924*T1^11*T2^5 - 
     112*T2^6 - 554*T1*T2^6 + 4717*T1^2*T2^6 - 2156*T1^3*T2^6 - 
     15195*T1^4*T2^6 + 31569*T1^5*T2^6 - 12456*T1^6*T2^6 - 19101*T1^7*T2^6 + 
     31515*T1^8*T2^6 - 11072*T1^9*T2^6 - 2699*T1^10*T2^6 + 2902*T1^11*T2^6 + 
     272*T1^12*T2^6 + 228*T1*T2^7 - 1508*T1^2*T2^7 - 4619*T1^3*T2^7 + 
     15820*T1^4*T2^7 - 13082*T1^5*T2^7 - 19101*T1^6*T2^7 + 36945*T1^7*T2^7 - 
     24431*T1^8*T2^7 - 6632*T1^9*T2^7 + 11605*T1^10*T2^7 - 3452*T1^11*T2^7 - 
     1212*T1^12*T2^7 + 116*T1^2*T2^8 + 3604*T1^3*T2^8 - 3979*T1^4*T2^8 - 
     9536*T1^5*T2^8 + 31515*T1^6*T2^8 - 24431*T1^7*T2^8 - 1329*T1^8*T2^8 + 
     21628*T1^9*T2^8 - 11395*T1^10*T2^8 - 572*T1^11*T2^8 + 2612*T1^12*T2^8 - 
     920*T1^3*T2^9 - 2012*T1^4*T2^9 + 9421*T1^5*T2^9 - 11072*T1^6*T2^9 - 
     6632*T1^7*T2^9 + 21628*T1^8*T2^9 - 19922*T1^9*T2^9 + 1933*T1^10*T2^9 + 
     5764*T1^11*T2^9 - 3272*T1^12*T2^9 + 1364*T1^4*T2^10 - 1940*T1^5*T2^10 - 
     2699*T1^6*T2^10 + 11605*T1^7*T2^10 - 11395*T1^8*T2^10 + 
     1933*T1^9*T2^10 + 8221*T1^10*T2^10 - 7556*T1^11*T2^10 + 
     2612*T1^12*T2^10 - 924*T1^5*T2^11 + 2902*T1^6*T2^11 - 3452*T1^7*T2^11 - 
     572*T1^8*T2^11 + 5764*T1^9*T2^11 - 7556*T1^10*T2^11 + 4486*T1^11*T2^11 - 
     1212*T1^12*T2^11 + 272*T1^6*T2^12 - 1212*T1^7*T2^12 + 2612*T1^8*T2^12 - 
     3272*T1^9*T2^12 + 2612*T1^10*T2^12 - 1212*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 722] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 3*T^6 - 3*T^7 + 3*T^8 - 
      3*T^9 + T^10)/T^5), -((-9 + 27*T1 - 27*T1^2 + 27*T1^3 - 27*T1^4 + 
      27*T1^5 - 27*T1^6 + 27*T1^7 - 27*T1^8 + 27*T1^9 - 9*T1^10 + 27*T2 - 
      57*T1*T2 + 9*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 9*T1^5*T2 + 9*T1^6*T2 - 
      9*T1^7*T2 + 9*T1^8*T2 - 9*T1^9*T2 - 45*T1^10*T2 + 24*T1^11*T2 - 
      27*T2^2 + 9*T1*T2^2 + 114*T1^2*T2^2 - 74*T1^3*T2^2 + 74*T1^4*T2^2 - 
      74*T1^5*T2^2 + 74*T1^6*T2^2 - 74*T1^7*T2^2 + 74*T1^8*T2^2 - 
      74*T1^9*T2^2 + 126*T1^10*T2^2 - 9*T1^11*T2^2 - 21*T1^12*T2^2 + 
      27*T2^3 - 9*T1*T2^3 - 74*T1^2*T2^3 - 30*T1^3*T2^3 - 48*T1^10*T2^3 - 
      65*T1^11*T2^3 + 9*T1^12*T2^3 + 18*T1^13*T2^3 - 27*T2^4 + 9*T1*T2^4 + 
      74*T1^2*T2^4 + 78*T1^4*T2^4 - 56*T1^5*T2^4 + 56*T1^6*T2^4 - 
      56*T1^7*T2^4 + 56*T1^8*T2^4 - 56*T1^9*T2^4 + 102*T1^10*T2^4 + 
      56*T1^12*T2^4 - 9*T1^13*T2^4 - 15*T1^14*T2^4 + 27*T2^5 - 9*T1*T2^5 - 
      74*T1^2*T2^5 - 56*T1^4*T2^5 - 3*T1^5*T2^5 - 9*T1^6*T2^5 + 9*T1^7*T2^5 - 
      9*T1^8*T2^5 + 9*T1^9*T2^5 - 51*T1^10*T2^5 - 47*T1^11*T2^5 - 
      47*T1^13*T2^5 + 9*T1^14*T2^5 + 12*T1^15*T2^5 - 27*T2^6 + 9*T1*T2^6 + 
      74*T1^2*T2^6 + 56*T1^4*T2^6 - 9*T1^5*T2^6 + 42*T1^6*T2^6 - 
      38*T1^7*T2^6 + 38*T1^8*T2^6 - 38*T1^9*T2^6 + 78*T1^10*T2^6 + 
      9*T1^11*T2^6 + 38*T1^12*T2^6 + 38*T1^14*T2^6 - 9*T1^15*T2^6 - 
      9*T1^16*T2^6 + 27*T2^7 - 9*T1*T2^7 - 74*T1^2*T2^7 - 56*T1^4*T2^7 + 
      9*T1^5*T2^7 - 38*T1^6*T2^7 + 24*T1^7*T2^7 - 18*T1^8*T2^7 + 
      18*T1^9*T2^7 - 54*T1^10*T2^7 - 29*T1^11*T2^7 - 9*T1^12*T2^7 - 
      29*T1^13*T2^7 - 29*T1^15*T2^7 + 9*T1^16*T2^7 + 6*T1^17*T2^7 - 27*T2^8 + 
      9*T1*T2^8 + 74*T1^2*T2^8 + 56*T1^4*T2^8 - 9*T1^5*T2^8 + 38*T1^6*T2^8 - 
      18*T1^7*T2^8 + 6*T1^8*T2^8 - 20*T1^9*T2^8 + 54*T1^10*T2^8 + 
      18*T1^11*T2^8 + 20*T1^12*T2^8 + 9*T1^13*T2^8 + 20*T1^14*T2^8 + 
      20*T1^16*T2^8 - 9*T1^17*T2^8 - 3*T1^18*T2^8 + 27*T2^9 - 9*T1*T2^9 - 
      74*T1^2*T2^9 - 56*T1^4*T2^9 + 9*T1^5*T2^9 - 38*T1^6*T2^9 + 
      18*T1^7*T2^9 - 20*T1^8*T2^9 + 51*T1^9*T2^9 - 57*T1^10*T2^9 - 
      11*T1^11*T2^9 - 18*T1^12*T2^9 - 11*T1^13*T2^9 - 9*T1^14*T2^9 - 
      11*T1^15*T2^9 - 11*T1^17*T2^9 + 9*T1^18*T2^9 - 9*T2^10 - 45*T1*T2^10 + 
      126*T1^2*T2^10 - 48*T1^3*T2^10 + 102*T1^4*T2^10 - 51*T1^5*T2^10 + 
      78*T1^6*T2^10 - 54*T1^7*T2^10 + 54*T1^8*T2^10 - 57*T1^9*T2^10 + 
      57*T1^11*T2^10 - 24*T1^12*T2^10 + 42*T1^13*T2^10 - 18*T1^14*T2^10 + 
      27*T1^15*T2^10 - 12*T1^16*T2^10 + 12*T1^17*T2^10 - 6*T1^18*T2^10 - 
      3*T1^19*T2^10 + T1^20*T2^10 + 24*T1*T2^11 - 9*T1^2*T2^11 - 
      65*T1^3*T2^11 - 47*T1^5*T2^11 + 9*T1^6*T2^11 - 29*T1^7*T2^11 + 
      18*T1^8*T2^11 - 11*T1^9*T2^11 + 57*T1^10*T2^11 - 51*T1^11*T2^11 - 
      2*T1^12*T2^11 - 18*T1^13*T2^11 - 2*T1^14*T2^11 - 9*T1^15*T2^11 - 
      2*T1^16*T2^11 - 2*T1^18*T2^11 + 9*T1^19*T2^11 - 3*T1^20*T2^11 - 
      21*T1^2*T2^12 + 9*T1^3*T2^12 + 56*T1^4*T2^12 + 38*T1^6*T2^12 - 
      9*T1^7*T2^12 + 20*T1^8*T2^12 - 18*T1^9*T2^12 - 24*T1^10*T2^12 - 
      2*T1^11*T2^12 + 24*T1^12*T2^12 + 18*T1^13*T2^12 + 2*T1^14*T2^12 + 
      9*T1^15*T2^12 + 2*T1^16*T2^12 + 2*T1^18*T2^12 - 9*T1^19*T2^12 + 
      3*T1^20*T2^12 + 18*T1^3*T2^13 - 9*T1^4*T2^13 - 47*T1^5*T2^13 - 
      29*T1^7*T2^13 + 9*T1^8*T2^13 - 11*T1^9*T2^13 + 42*T1^10*T2^13 - 
      18*T1^11*T2^13 + 18*T1^12*T2^13 - 36*T1^13*T2^13 - 2*T1^14*T2^13 - 
      9*T1^15*T2^13 - 2*T1^16*T2^13 - 2*T1^18*T2^13 + 9*T1^19*T2^13 - 
      3*T1^20*T2^13 - 15*T1^4*T2^14 + 9*T1^5*T2^14 + 38*T1^6*T2^14 + 
      20*T1^8*T2^14 - 9*T1^9*T2^14 - 18*T1^10*T2^14 - 2*T1^11*T2^14 + 
      2*T1^12*T2^14 - 2*T1^13*T2^14 + 18*T1^14*T2^14 + 9*T1^15*T2^14 + 
      2*T1^16*T2^14 + 2*T1^18*T2^14 - 9*T1^19*T2^14 + 3*T1^20*T2^14 + 
      12*T1^5*T2^15 - 9*T1^6*T2^15 - 29*T1^7*T2^15 - 11*T1^9*T2^15 + 
      27*T1^10*T2^15 - 9*T1^11*T2^15 + 9*T1^12*T2^15 - 9*T1^13*T2^15 + 
      9*T1^14*T2^15 - 21*T1^15*T2^15 - 2*T1^16*T2^15 - 2*T1^18*T2^15 + 
      9*T1^19*T2^15 - 3*T1^20*T2^15 - 9*T1^6*T2^16 + 9*T1^7*T2^16 + 
      20*T1^8*T2^16 - 12*T1^10*T2^16 - 2*T1^11*T2^16 + 2*T1^12*T2^16 - 
      2*T1^13*T2^16 + 2*T1^14*T2^16 - 2*T1^15*T2^16 + 12*T1^16*T2^16 + 
      2*T1^18*T2^16 - 9*T1^19*T2^16 + 3*T1^20*T2^16 + 6*T1^7*T2^17 - 
      9*T1^8*T2^17 - 11*T1^9*T2^17 + 12*T1^10*T2^17 - 6*T1^17*T2^17 - 
      2*T1^18*T2^17 + 9*T1^19*T2^17 - 3*T1^20*T2^17 - 3*T1^8*T2^18 + 
      9*T1^9*T2^18 - 6*T1^10*T2^18 - 2*T1^11*T2^18 + 2*T1^12*T2^18 - 
      2*T1^13*T2^18 + 2*T1^14*T2^18 - 2*T1^15*T2^18 + 2*T1^16*T2^18 - 
      2*T1^17*T2^18 + 6*T1^18*T2^18 - 9*T1^19*T2^18 + 3*T1^20*T2^18 - 
      3*T1^10*T2^19 + 9*T1^11*T2^19 - 9*T1^12*T2^19 + 9*T1^13*T2^19 - 
      9*T1^14*T2^19 + 9*T1^15*T2^19 - 9*T1^16*T2^19 + 9*T1^17*T2^19 - 
      9*T1^18*T2^19 + 9*T1^19*T2^19 - 3*T1^20*T2^19 + T1^10*T2^20 - 
      3*T1^11*T2^20 + 3*T1^12*T2^20 - 3*T1^13*T2^20 + 3*T1^14*T2^20 - 
      3*T1^15*T2^20 + 3*T1^16*T2^20 - 3*T1^17*T2^20 + 3*T1^18*T2^20 - 
      3*T1^19*T2^20 + T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 723] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4), 
   -((-57 + 199*T1 - 255*T1^2 + 255*T1^3 - 255*T1^4 + 255*T1^5 - 255*T1^6 + 
      199*T1^7 - 57*T1^8 + 199*T2 - 524*T1*T2 + 294*T1^2*T2 - 126*T1^3*T2 + 
      126*T1^4*T2 - 126*T1^5*T2 + 126*T1^6*T2 + 70*T1^7*T2 - 398*T1^8*T2 + 
      171*T1^9*T2 - 255*T2^2 + 294*T1*T2^2 + 759*T1^2*T2^2 - 907*T1^3*T2^2 + 
      735*T1^4*T2^2 - 735*T1^5*T2^2 + 735*T1^6*T2^2 - 979*T1^7*T2^2 + 
      1011*T1^8*T2^2 + 42*T1^9*T2^2 - 183*T1^10*T2^2 + 255*T2^3 - 
      126*T1*T2^3 - 907*T1^2*T2^3 + 265*T1^3*T2^3 + 35*T1^4*T2^3 + 
      81*T1^5*T2^3 - 81*T1^6*T2^3 + 305*T1^7*T2^3 - 149*T1^8*T2^3 - 
      826*T1^9*T2^3 + 126*T1^10*T2^3 + 147*T1^11*T2^3 - 255*T2^4 + 
      126*T1*T2^4 + 735*T1^2*T2^4 + 35*T1^3*T2^4 + 154*T1^4*T2^4 - 
      388*T1^5*T2^4 + 324*T1^6*T2^4 - 532*T1^7*T2^4 + 406*T1^8*T2^4 + 
      269*T1^9*T2^4 + 501*T1^10*T2^4 - 126*T1^11*T2^4 - 111*T1^12*T2^4 + 
      255*T2^5 - 126*T1*T2^5 - 735*T1^2*T2^5 + 81*T1^3*T2^5 - 388*T1^4*T2^5 + 
      346*T1^5*T2^5 - 154*T1^6*T2^5 + 350*T1^7*T2^5 - 230*T1^8*T2^5 - 
      415*T1^9*T2^5 - 81*T1^10*T2^5 - 384*T1^11*T2^5 + 126*T1^12*T2^5 + 
      75*T1^13*T2^5 - 255*T2^6 + 126*T1*T2^6 + 735*T1^2*T2^6 - 81*T1^3*T2^6 + 
      324*T1^4*T2^6 - 154*T1^5*T2^6 - 8*T1^6*T2^6 - 290*T1^7*T2^6 + 
      244*T1^8*T2^6 + 314*T1^9*T2^6 + 162*T1^10*T2^6 + 81*T1^11*T2^6 + 
      267*T1^12*T2^6 - 126*T1^13*T2^6 - 39*T1^14*T2^6 + 199*T2^7 + 
      70*T1*T2^7 - 979*T1^2*T2^7 + 305*T1^3*T2^7 - 532*T1^4*T2^7 + 
      350*T1^5*T2^7 - 290*T1^6*T2^7 + 723*T1^7*T2^7 - 519*T1^8*T2^7 - 
      137*T1^9*T2^7 - 226*T1^10*T2^7 - 37*T1^11*T2^7 - 109*T1^12*T2^7 - 
      142*T1^13*T2^7 + 126*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      398*T1*T2^8 + 1011*T1^2*T2^8 - 149*T1^3*T2^8 + 406*T1^4*T2^8 - 
      230*T1^5*T2^8 + 244*T1^6*T2^8 - 519*T1^7*T2^8 - 132*T1^8*T2^8 + 
      667*T1^9*T2^8 - 170*T1^10*T2^8 + 346*T1^11*T2^8 - 170*T1^12*T2^8 + 
      265*T1^13*T2^8 - 111*T1^14*T2^8 - 34*T1^15*T2^8 + 7*T1^16*T2^8 + 
      171*T1*T2^9 + 42*T1^2*T2^9 - 826*T1^3*T2^9 + 269*T1^4*T2^9 - 
      415*T1^5*T2^9 + 314*T1^6*T2^9 - 137*T1^7*T2^9 + 667*T1^8*T2^9 - 
      575*T1^9*T2^9 + 16*T1^10*T2^9 - 262*T1^11*T2^9 + 80*T1^12*T2^9 - 
      145*T1^13*T2^9 + 11*T1^14*T2^9 + 98*T1^15*T2^9 - 25*T1^16*T2^9 - 
      183*T1^2*T2^10 + 126*T1^3*T2^10 + 501*T1^4*T2^10 - 81*T1^5*T2^10 + 
      162*T1^6*T2^10 - 226*T1^7*T2^10 - 170*T1^8*T2^10 + 16*T1^9*T2^10 + 
      82*T1^10*T2^10 + 242*T1^11*T2^10 + 81*T1^13*T2^10 + 33*T1^14*T2^10 - 
      126*T1^15*T2^10 + 33*T1^16*T2^10 + 147*T1^3*T2^11 - 126*T1^4*T2^11 - 
      384*T1^5*T2^11 + 81*T1^6*T2^11 - 37*T1^7*T2^11 + 346*T1^8*T2^11 - 
      262*T1^9*T2^11 + 242*T1^10*T2^11 - 230*T1^11*T2^11 - 64*T1^12*T2^11 - 
      81*T1^13*T2^11 - 33*T1^14*T2^11 + 126*T1^15*T2^11 - 33*T1^16*T2^11 - 
      111*T1^4*T2^12 + 126*T1^5*T2^12 + 267*T1^6*T2^12 - 109*T1^7*T2^12 - 
      170*T1^8*T2^12 + 80*T1^9*T2^12 - 64*T1^11*T2^12 + 82*T1^12*T2^12 + 
      125*T1^13*T2^12 + 33*T1^14*T2^12 - 126*T1^15*T2^12 + 33*T1^16*T2^12 + 
      75*T1^5*T2^13 - 126*T1^6*T2^13 - 142*T1^7*T2^13 + 265*T1^8*T2^13 - 
      145*T1^9*T2^13 + 81*T1^10*T2^13 - 81*T1^11*T2^13 + 125*T1^12*T2^13 - 
      149*T1^13*T2^13 - 61*T1^14*T2^13 + 126*T1^15*T2^13 - 33*T1^16*T2^13 - 
      39*T1^6*T2^14 + 126*T1^7*T2^14 - 111*T1^8*T2^14 + 11*T1^9*T2^14 + 
      33*T1^10*T2^14 - 33*T1^11*T2^14 + 33*T1^12*T2^14 - 61*T1^13*T2^14 + 
      141*T1^14*T2^14 - 126*T1^15*T2^14 + 33*T1^16*T2^14 + 3*T1^7*T2^15 - 
      34*T1^8*T2^15 + 98*T1^9*T2^15 - 126*T1^10*T2^15 + 126*T1^11*T2^15 - 
      126*T1^12*T2^15 + 126*T1^13*T2^15 - 126*T1^14*T2^15 + 92*T1^15*T2^15 - 
      25*T1^16*T2^15 + 7*T1^8*T2^16 - 25*T1^9*T2^16 + 33*T1^10*T2^16 - 
      33*T1^11*T2^16 + 33*T1^12*T2^16 - 33*T1^13*T2^16 + 33*T1^14*T2^16 - 
      25*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 724] -> 
  {-((2 - 8*T + 14*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 14*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 395*T1^2 + 535*T1^3 - 591*T1^4 + 535*T1^5 - 
      395*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 800*T1^2*T2 - 
      784*T1^3*T2 + 528*T1^4*T2 - 112*T1^5*T2 - 256*T1^6*T2 + 448*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 395*T2^2 + 800*T1*T2^2 + 70*T1^2*T2^2 - 
      582*T1^3*T2^2 + 1294*T1^4*T2^2 - 1762*T1^5*T2^2 + 1686*T1^6*T2^2 - 
      1198*T1^7*T2^2 + 742*T1^8*T2^2 + 352*T1^9*T2^2 - 283*T1^10*T2^2 + 
      535*T2^3 - 784*T1*T2^3 - 582*T1^2*T2^3 + 316*T1^3*T2^3 - 
      666*T1^4*T2^3 + 586*T1^5*T2^3 - 132*T1^6*T2^3 - 276*T1^7*T2^3 + 
      246*T1^8*T2^3 - 1058*T1^9*T2^3 - 96*T1^10*T2^3 + 307*T1^11*T2^3 - 
      591*T2^4 + 528*T1*T2^4 + 1294*T1^2*T2^4 - 666*T1^3*T2^4 + 
      1843*T1^4*T2^4 - 2107*T1^5*T2^4 + 2013*T1^6*T2^4 - 1827*T1^7*T2^4 + 
      1691*T1^8*T2^4 - 210*T1^9*T2^4 + 1214*T1^10*T2^4 - 208*T1^11*T2^4 - 
      255*T1^12*T2^4 + 535*T2^5 - 112*T1*T2^5 - 1762*T1^2*T2^5 + 
      586*T1^3*T2^5 - 2107*T1^4*T2^5 + 1712*T1^5*T2^5 - 1178*T1^6*T2^5 + 
      634*T1^7*T2^5 - 136*T1^8*T2^5 - 1365*T1^9*T2^5 - 200*T1^10*T2^5 - 
      922*T1^11*T2^5 + 400*T1^12*T2^5 + 155*T1^13*T2^5 - 395*T2^6 - 
      256*T1*T2^6 + 1686*T1^2*T2^6 - 132*T1^3*T2^6 + 2013*T1^4*T2^6 - 
      1178*T1^5*T2^6 + 825*T1^6*T2^6 - 611*T1^7*T2^6 + 269*T1^8*T2^6 + 
      714*T1^9*T2^6 + 1045*T1^10*T2^6 + 484*T1^11*T2^6 + 350*T1^12*T2^6 - 
      384*T1^13*T2^6 - 59*T1^14*T2^6 + 227*T2^7 + 448*T1*T2^7 - 
      1198*T1^2*T2^7 - 276*T1^3*T2^7 - 1827*T1^4*T2^7 + 634*T1^5*T2^7 - 
      611*T1^6*T2^7 + 639*T1^7*T2^7 - 187*T1^8*T2^7 - 394*T1^9*T2^7 - 
      1018*T1^10*T2^7 - 721*T1^11*T2^7 - 402*T1^12*T2^7 + 118*T1^13*T2^7 + 
      224*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 742*T1^2*T2^8 + 
      246*T1^3*T2^8 + 1691*T1^4*T2^8 - 136*T1^5*T2^8 + 269*T1^6*T2^8 - 
      187*T1^7*T2^8 - 468*T1^8*T2^8 + 595*T1^9*T2^8 + 375*T1^10*T2^8 + 
      1088*T1^11*T2^8 + 267*T1^12*T2^8 + 186*T1^13*T2^8 - 314*T1^14*T2^8 - 
      38*T1^15*T2^8 + 7*T1^16*T2^8 + 195*T1*T2^9 + 352*T1^2*T2^9 - 
      1058*T1^3*T2^9 - 210*T1^4*T2^9 - 1365*T1^5*T2^9 + 714*T1^6*T2^9 - 
      394*T1^7*T2^9 + 595*T1^8*T2^9 - 231*T1^9*T2^9 - 177*T1^10*T2^9 - 
      938*T1^11*T2^9 - 259*T1^12*T2^9 - 336*T1^13*T2^9 + 258*T1^14*T2^9 + 
      128*T1^15*T2^9 - 29*T1^16*T2^9 - 283*T1^2*T2^10 - 96*T1^3*T2^10 + 
      1214*T1^4*T2^10 - 200*T1^5*T2^10 + 1045*T1^6*T2^10 - 1018*T1^7*T2^10 + 
      375*T1^8*T2^10 - 177*T1^9*T2^10 - 181*T1^10*T2^10 + 874*T1^11*T2^10 + 
      77*T1^12*T2^10 + 416*T1^13*T2^10 - 122*T1^14*T2^10 - 224*T1^15*T2^10 + 
      53*T1^16*T2^10 + 307*T1^3*T2^11 - 208*T1^4*T2^11 - 922*T1^5*T2^11 + 
      484*T1^6*T2^11 - 721*T1^7*T2^11 + 1088*T1^8*T2^11 - 938*T1^9*T2^11 + 
      874*T1^10*T2^11 - 760*T1^11*T2^11 + 21*T1^12*T2^11 - 302*T1^13*T2^11 - 
      82*T1^14*T2^11 + 304*T1^15*T2^11 - 73*T1^16*T2^11 - 255*T1^4*T2^12 + 
      400*T1^5*T2^12 + 350*T1^6*T2^12 - 402*T1^7*T2^12 + 267*T1^8*T2^12 - 
      259*T1^9*T2^12 + 77*T1^10*T2^12 + 21*T1^11*T2^12 + 115*T1^12*T2^12 + 
      54*T1^13*T2^12 + 270*T1^14*T2^12 - 336*T1^15*T2^12 + 81*T1^16*T2^12 + 
      155*T1^5*T2^13 - 384*T1^6*T2^13 + 118*T1^7*T2^13 + 186*T1^8*T2^13 - 
      336*T1^9*T2^13 + 416*T1^10*T2^13 - 302*T1^11*T2^13 + 54*T1^12*T2^13 + 
      116*T1^13*T2^13 - 358*T1^14*T2^13 + 304*T1^15*T2^13 - 73*T1^16*T2^13 - 
      59*T1^6*T2^14 + 224*T1^7*T2^14 - 314*T1^8*T2^14 + 258*T1^9*T2^14 - 
      122*T1^10*T2^14 - 82*T1^11*T2^14 + 270*T1^12*T2^14 - 358*T1^13*T2^14 + 
      358*T1^14*T2^14 - 224*T1^15*T2^14 + 53*T1^16*T2^14 + 3*T1^7*T2^15 - 
      38*T1^8*T2^15 + 128*T1^9*T2^15 - 224*T1^10*T2^15 + 304*T1^11*T2^15 - 
      336*T1^12*T2^15 + 304*T1^13*T2^15 - 224*T1^14*T2^15 + 122*T1^15*T2^15 - 
      29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 53*T1^10*T2^16 - 
      73*T1^11*T2^16 + 81*T1^12*T2^16 - 73*T1^13*T2^16 + 53*T1^14*T2^16 - 
      29*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 725] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((-336 + 1336*T1 - 2072*T1^2 + 2232*T1^3 - 2072*T1^4 + 1336*T1^5 - 
      336*T1^6 + 1336*T2 - 4236*T1*T2 + 3960*T1^2*T2 - 2240*T1^3*T2 + 
      1088*T1^4*T2 + 1336*T1^5*T2 - 2956*T1^6*T2 + 1080*T1^7*T2 - 2072*T2^2 + 
      3960*T1*T2^2 + 2974*T1^2*T2^2 - 7734*T1^3*T2^2 + 8106*T1^4*T2^2 - 
      9934*T1^5*T2^2 + 7174*T1^6*T2^2 + 760*T1^7*T2^2 - 1272*T1^8*T2^2 + 
      2232*T2^3 - 2240*T1*T2^3 - 7734*T1^2*T2^3 + 7724*T1^3*T2^3 - 
      3500*T1^4*T2^3 + 4016*T1^5*T2^3 + 1368*T1^6*T2^3 - 7834*T1^7*T2^3 + 
      1344*T1^8*T2^3 + 936*T1^9*T2^3 - 2072*T2^4 + 1088*T1*T2^4 + 
      8106*T1^2*T2^4 - 3500*T1^3*T2^4 - 679*T1^4*T2^4 - 1989*T1^5*T2^4 - 
      1783*T1^6*T2^4 + 3844*T1^7*T2^4 + 4282*T1^8*T2^4 - 1856*T1^9*T2^4 - 
      472*T1^10*T2^4 + 1336*T2^5 + 1336*T1*T2^5 - 9934*T1^2*T2^5 + 
      4016*T1^3*T2^5 - 1989*T1^4*T2^5 + 5875*T1^5*T2^5 - 1825*T1^6*T2^5 - 
      464*T1^7*T2^5 - 3844*T1^8*T2^5 - 1434*T1^9*T2^5 + 1656*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2956*T1*T2^6 + 7174*T1^2*T2^6 + 
      1368*T1^3*T2^6 - 1783*T1^4*T2^6 - 1825*T1^5*T2^6 - 3108*T1^6*T2^6 + 
      4393*T1^7*T2^6 - 781*T1^8*T2^6 + 4376*T1^9*T2^6 - 1810*T1^10*T2^6 - 
      396*T1^11*T2^6 + 48*T1^12*T2^6 + 1080*T1*T2^7 + 760*T1^2*T2^7 - 
      7834*T1^3*T2^7 + 3844*T1^4*T2^7 - 464*T1^5*T2^7 + 4393*T1^6*T2^7 - 
      3307*T1^7*T2^7 + 1061*T1^8*T2^7 - 4016*T1^9*T2^7 + 666*T1^10*T2^7 + 
      1080*T1^11*T2^7 - 200*T1^12*T2^7 - 1272*T1^2*T2^8 + 1344*T1^3*T2^8 + 
      4282*T1^4*T2^8 - 3844*T1^5*T2^8 - 781*T1^6*T2^8 + 1061*T1^7*T2^8 - 
      1885*T1^8*T2^8 + 3500*T1^9*T2^8 + 458*T1^10*T2^8 - 1600*T1^11*T2^8 + 
      328*T1^12*T2^8 + 936*T1^3*T2^9 - 1856*T1^4*T2^9 - 1434*T1^5*T2^9 + 
      4376*T1^6*T2^9 - 4016*T1^7*T2^9 + 3500*T1^8*T2^9 - 1980*T1^9*T2^9 - 
      1534*T1^10*T2^9 + 1728*T1^11*T2^9 - 360*T1^12*T2^9 - 472*T1^4*T2^10 + 
      1656*T1^5*T2^10 - 1810*T1^6*T2^10 + 666*T1^7*T2^10 + 458*T1^8*T2^10 - 
      1534*T1^9*T2^10 + 2390*T1^10*T2^10 - 1544*T1^11*T2^10 + 
      328*T1^12*T2^10 + 56*T1^5*T2^11 - 396*T1^6*T2^11 + 1080*T1^7*T2^11 - 
      1600*T1^8*T2^11 + 1728*T1^9*T2^11 - 1544*T1^10*T2^11 + 
      884*T1^11*T2^11 - 200*T1^12*T2^11 + 48*T1^6*T2^12 - 200*T1^7*T2^12 + 
      328*T1^8*T2^12 - 360*T1^9*T2^12 + 328*T1^10*T2^12 - 200*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 726] -> 
  {-((2 - 8*T + 14*T^2 - 18*T^3 + 19*T^4 - 18*T^5 + 14*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 395*T1^2 + 507*T1^3 - 535*T1^4 + 507*T1^5 - 
      395*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 800*T1^2*T2 - 
      672*T1^3*T2 + 400*T1^4*T2 - 192*T1^5*T2 - 160*T1^6*T2 + 448*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 395*T2^2 + 800*T1*T2^2 + 70*T1^2*T2^2 - 
      774*T1^3*T2^2 + 1298*T1^4*T2^2 - 1330*T1^5*T2^2 + 1578*T1^6*T2^2 - 
      1334*T1^7*T2^2 + 742*T1^8*T2^2 + 352*T1^9*T2^2 - 283*T1^10*T2^2 + 
      507*T2^3 - 672*T1*T2^3 - 774*T1^2*T2^3 + 796*T1^3*T2^3 - 
      720*T1^4*T2^3 + 216*T1^5*T2^3 - 472*T1^6*T2^3 - 52*T1^7*T2^3 + 
      492*T1^8*T2^3 - 1166*T1^9*T2^3 - 32*T1^10*T2^3 + 291*T1^11*T2^3 - 
      535*T2^4 + 400*T1*T2^4 + 1298*T1^2*T2^4 - 720*T1^3*T2^4 + 
      1035*T1^4*T2^4 - 909*T1^5*T2^4 + 1653*T1^6*T2^4 - 989*T1^7*T2^4 + 
      739*T1^8*T2^4 + 1122*T1^10*T2^4 - 240*T1^11*T2^4 - 231*T1^12*T2^4 + 
      507*T2^5 - 192*T1*T2^5 - 1330*T1^2*T2^5 + 216*T1^3*T2^5 - 
      909*T1^4*T2^5 + 634*T1^5*T2^5 - 1184*T1^6*T2^5 + 124*T1^7*T2^5 - 
      14*T1^8*T2^5 - 753*T1^9*T2^5 - 408*T1^10*T2^5 - 706*T1^11*T2^5 + 
      336*T1^12*T2^5 + 147*T1^13*T2^5 - 395*T2^6 - 160*T1*T2^6 + 
      1578*T1^2*T2^6 - 472*T1^3*T2^6 + 1653*T1^4*T2^6 - 1184*T1^5*T2^6 + 
      1527*T1^6*T2^6 - 377*T1^7*T2^6 + 443*T1^8*T2^6 + 264*T1^9*T2^6 + 
      861*T1^10*T2^6 + 312*T1^11*T2^6 + 386*T1^12*T2^6 - 352*T1^13*T2^6 - 
      59*T1^14*T2^6 + 227*T2^7 + 448*T1*T2^7 - 1334*T1^2*T2^7 - 
      52*T1^3*T2^7 - 989*T1^4*T2^7 + 124*T1^5*T2^7 - 377*T1^6*T2^7 - 
      398*T1^7*T2^7 - 60*T1^8*T2^7 - 213*T1^9*T2^7 - 904*T1^10*T2^7 - 
      201*T1^11*T2^7 - 512*T1^12*T2^7 + 66*T1^13*T2^7 + 224*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 742*T1^2*T2^8 + 492*T1^3*T2^8 + 
      739*T1^4*T2^8 - 14*T1^5*T2^8 + 443*T1^6*T2^8 - 60*T1^7*T2^8 + 
      540*T1^8*T2^8 - 308*T1^9*T2^8 + 827*T1^10*T2^8 + 370*T1^11*T2^8 + 
      227*T1^12*T2^8 + 316*T1^13*T2^8 - 314*T1^14*T2^8 - 38*T1^15*T2^8 + 
      7*T1^16*T2^8 + 195*T1*T2^9 + 352*T1^2*T2^9 - 1166*T1^3*T2^9 - 
      753*T1^5*T2^9 + 264*T1^6*T2^9 - 213*T1^7*T2^9 - 308*T1^8*T2^9 + 
      30*T1^9*T2^9 - 49*T1^10*T2^9 - 764*T1^11*T2^9 + 35*T1^12*T2^9 - 
      460*T1^13*T2^9 + 234*T1^14*T2^9 + 128*T1^15*T2^9 - 29*T1^16*T2^9 - 
      283*T1^2*T2^10 - 32*T1^3*T2^10 + 1122*T1^4*T2^10 - 408*T1^5*T2^10 + 
      861*T1^6*T2^10 - 904*T1^7*T2^10 + 827*T1^8*T2^10 - 49*T1^9*T2^10 - 
      257*T1^10*T2^10 + 544*T1^11*T2^10 + 69*T1^12*T2^10 + 376*T1^13*T2^10 - 
      70*T1^14*T2^10 - 224*T1^15*T2^10 + 53*T1^16*T2^10 + 291*T1^3*T2^11 - 
      240*T1^4*T2^11 - 706*T1^5*T2^11 + 312*T1^6*T2^11 - 201*T1^7*T2^11 + 
      370*T1^8*T2^11 - 764*T1^9*T2^11 + 544*T1^10*T2^11 - 278*T1^11*T2^11 - 
      45*T1^12*T2^11 - 312*T1^13*T2^11 - 82*T1^14*T2^11 + 288*T1^15*T2^11 - 
      69*T1^16*T2^11 - 231*T1^4*T2^12 + 336*T1^5*T2^12 + 386*T1^6*T2^12 - 
      512*T1^7*T2^12 + 227*T1^8*T2^12 + 35*T1^9*T2^12 + 69*T1^10*T2^12 - 
      45*T1^11*T2^12 - 69*T1^12*T2^12 + 208*T1^13*T2^12 + 210*T1^14*T2^12 - 
      304*T1^15*T2^12 + 73*T1^16*T2^12 + 147*T1^5*T2^13 - 352*T1^6*T2^13 + 
      66*T1^7*T2^13 + 316*T1^8*T2^13 - 460*T1^9*T2^13 + 376*T1^10*T2^13 - 
      312*T1^11*T2^13 + 208*T1^12*T2^13 + 12*T1^13*T2^13 - 326*T1^14*T2^13 + 
      288*T1^15*T2^13 - 69*T1^16*T2^13 - 59*T1^6*T2^14 + 224*T1^7*T2^14 - 
      314*T1^8*T2^14 + 234*T1^9*T2^14 - 70*T1^10*T2^14 - 82*T1^11*T2^14 + 
      210*T1^12*T2^14 - 326*T1^13*T2^14 + 358*T1^14*T2^14 - 224*T1^15*T2^14 + 
      53*T1^16*T2^14 + 3*T1^7*T2^15 - 38*T1^8*T2^15 + 128*T1^9*T2^15 - 
      224*T1^10*T2^15 + 288*T1^11*T2^15 - 304*T1^12*T2^15 + 288*T1^13*T2^15 - 
      224*T1^14*T2^15 + 122*T1^15*T2^15 - 29*T1^16*T2^15 + 7*T1^8*T2^16 - 
      29*T1^9*T2^16 + 53*T1^10*T2^16 - 69*T1^11*T2^16 + 73*T1^12*T2^16 - 
      69*T1^13*T2^16 + 53*T1^14*T2^16 - 29*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 727] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-336 + 1500*T1 - 2892*T1^2 + 3544*T1^3 - 2892*T1^4 + 1500*T1^5 - 
      336*T1^6 + 1500*T2 - 5494*T1*T2 + 7540*T1^2*T2 - 5448*T1^3*T2 + 
      168*T1^4*T2 + 3724*T1^5*T2 - 3910*T1^6*T2 + 1212*T1^7*T2 - 2892*T2^2 + 
      7540*T1*T2^2 - 2617*T1^2*T2^2 - 8209*T1^3*T2^2 + 17177*T1^4*T2^2 - 
      15209*T1^5*T2^2 + 6063*T1^6*T2^2 + 2500*T1^7*T2^2 - 1772*T1^8*T2^2 + 
      3544*T2^3 - 5448*T1*T2^3 - 8209*T1^2*T2^3 + 19316*T1^3*T2^3 - 
      18690*T1^4*T2^3 + 3102*T1^5*T2^3 + 10178*T1^6*T2^3 - 12409*T1^7*T2^3 + 
      1320*T1^8*T2^3 + 1480*T1^9*T2^3 - 2892*T2^4 + 168*T1*T2^4 + 
      17177*T1^2*T2^4 - 18690*T1^3*T2^4 + 6210*T1^4*T2^4 + 12568*T1^5*T2^4 - 
      15130*T1^6*T2^4 + 5218*T1^7*T2^4 + 8913*T1^8*T2^4 - 3720*T1^9*T2^4 - 
      652*T1^10*T2^4 + 1500*T2^5 + 3724*T1*T2^5 - 15209*T1^2*T2^5 + 
      3102*T1^3*T2^5 + 12568*T1^4*T2^5 - 19495*T1^5*T2^5 + 5645*T1^6*T2^5 + 
      9033*T1^7*T2^5 - 14458*T1^8*T2^5 + 191*T1^9*T2^5 + 2644*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3910*T1*T2^6 + 6063*T1^2*T2^6 + 
      10178*T1^3*T2^6 - 15130*T1^4*T2^6 + 5645*T1^5*T2^6 + 12828*T1^6*T2^6 - 
      17157*T1^7*T2^6 + 8452*T1^8*T2^6 + 7310*T1^9*T2^6 - 4105*T1^10*T2^6 - 
      454*T1^11*T2^6 + 48*T1^12*T2^6 + 1212*T1*T2^7 + 2500*T1^2*T2^7 - 
      12409*T1^3*T2^7 + 5218*T1^4*T2^7 + 9033*T1^5*T2^7 - 17157*T1^6*T2^7 + 
      7983*T1^7*T2^7 + 5498*T1^8*T2^7 - 12342*T1^9*T2^7 + 2991*T1^10*T2^7 + 
      1420*T1^11*T2^7 - 228*T1^12*T2^7 - 1772*T1^2*T2^8 + 1320*T1^3*T2^8 + 
      8913*T1^4*T2^8 - 14458*T1^5*T2^8 + 8452*T1^6*T2^8 + 5498*T1^7*T2^8 - 
      12888*T1^8*T2^8 + 9450*T1^9*T2^8 + 649*T1^10*T2^8 - 2568*T1^11*T2^8 + 
      468*T1^12*T2^8 + 1480*T1^3*T2^9 - 3720*T1^4*T2^9 + 191*T1^5*T2^9 + 
      7310*T1^6*T2^9 - 12342*T1^7*T2^9 + 9450*T1^8*T2^9 - 1828*T1^9*T2^9 - 
      4009*T1^10*T2^9 + 3048*T1^11*T2^9 - 584*T1^12*T2^9 - 652*T1^4*T2^10 + 
      2644*T1^5*T2^10 - 4105*T1^6*T2^10 + 2991*T1^7*T2^10 + 649*T1^8*T2^10 - 
      4009*T1^9*T2^10 + 4575*T1^10*T2^10 - 2396*T1^11*T2^10 + 
      468*T1^12*T2^10 + 60*T1^5*T2^11 - 454*T1^6*T2^11 + 1420*T1^7*T2^11 - 
      2568*T1^8*T2^11 + 3048*T1^9*T2^11 - 2396*T1^10*T2^11 + 
      1130*T1^11*T2^11 - 228*T1^12*T2^11 + 48*T1^6*T2^12 - 228*T1^7*T2^12 + 
      468*T1^8*T2^12 - 584*T1^9*T2^12 + 468*T1^10*T2^12 - 228*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 728] -> 
  {(2 - 8*T + 17*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 17*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-33 + 131*T1 - 277*T1^2 + 407*T1^3 - 473*T1^4 + 407*T1^5 - 
     277*T1^6 + 131*T1^7 - 33*T1^8 + 131*T2 - 422*T1*T2 + 710*T1^2*T2 - 
     790*T1^3*T2 + 662*T1^4*T2 - 202*T1^5*T2 - 118*T1^6*T2 + 310*T1^7*T2 - 
     262*T1^8*T2 + 99*T1^9*T2 - 277*T2^2 + 710*T1*T2^2 - 914*T1^2*T2^2 + 
     690*T1^3*T2^2 - 334*T1^4*T2^2 - 436*T1^5*T2^2 + 482*T1^6*T2^2 - 
     466*T1^7*T2^2 + 106*T1^8*T2^2 + 166*T1^9*T2^2 - 141*T1^10*T2^2 + 
     407*T2^3 - 790*T1*T2^3 + 690*T1^2*T2^3 - 194*T1^3*T2^3 - 62*T1^4*T2^3 + 
     834*T1^5*T2^3 - 210*T1^6*T2^3 + 100*T1^7*T2^3 + 456*T1^8*T2^3 - 
     500*T1^9*T2^3 + 138*T1^10*T2^3 + 107*T1^11*T2^3 - 473*T2^4 + 
     662*T1*T2^4 - 334*T1^2*T2^4 - 62*T1^3*T2^4 - 116*T1^4*T2^4 - 
     604*T1^5*T2^4 - 558*T1^6*T2^4 + 252*T1^7*T2^4 - 652*T1^8*T2^4 + 
     138*T1^9*T2^4 + 410*T1^10*T2^4 - 394*T1^11*T2^4 - 9*T1^12*T2^4 + 
     407*T2^5 - 202*T1*T2^5 - 436*T1^2*T2^5 + 834*T1^3*T2^5 - 604*T1^4*T2^5 + 
     1467*T1^5*T2^5 + 239*T1^6*T2^5 + 271*T1^7*T2^5 + 315*T1^8*T2^5 + 
     313*T1^9*T2^5 - 498*T1^10*T2^5 + 32*T1^11*T2^5 + 406*T1^12*T2^5 - 
     93*T1^13*T2^5 - 277*T2^6 - 118*T1*T2^6 + 482*T1^2*T2^6 - 210*T1^3*T2^6 - 
     558*T1^4*T2^6 + 239*T1^5*T2^6 - 2388*T1^6*T2^6 + 1174*T1^7*T2^6 - 
     1096*T1^8*T2^6 - 23*T1^9*T2^6 + 148*T1^10*T2^6 + 402*T1^11*T2^6 - 
     478*T1^12*T2^6 - 150*T1^13*T2^6 + 131*T1^14*T2^6 + 131*T2^7 + 
     310*T1*T2^7 - 466*T1^2*T2^7 + 100*T1^3*T2^7 + 252*T1^4*T2^7 + 
     271*T1^5*T2^7 + 1174*T1^6*T2^7 + 730*T1^7*T2^7 - 750*T1^8*T2^7 + 
     905*T1^9*T2^7 - 349*T1^10*T2^7 - 421*T1^11*T2^7 + 90*T1^12*T2^7 + 
     520*T1^13*T2^7 - 154*T1^14*T2^7 - 93*T1^15*T2^7 - 33*T2^8 - 
     262*T1*T2^8 + 106*T1^2*T2^8 + 456*T1^3*T2^8 - 652*T1^4*T2^8 + 
     315*T1^5*T2^8 - 1096*T1^6*T2^8 - 750*T1^7*T2^8 + 492*T1^8*T2^8 + 
     102*T1^9*T2^8 - 190*T1^10*T2^8 + 501*T1^11*T2^8 + 328*T1^12*T2^8 - 
     564*T1^13*T2^8 - 110*T1^14*T2^8 + 250*T1^15*T2^8 + 31*T1^16*T2^8 + 
     99*T1*T2^9 + 166*T1^2*T2^9 - 500*T1^3*T2^9 + 138*T1^4*T2^9 + 
     313*T1^5*T2^9 - 23*T1^6*T2^9 + 905*T1^7*T2^9 + 102*T1^8*T2^9 - 
     1378*T1^9*T2^9 + 636*T1^10*T2^9 - 643*T1^11*T2^9 - 360*T1^12*T2^9 + 
     128*T1^13*T2^9 + 486*T1^14*T2^9 - 298*T1^15*T2^9 - 125*T1^16*T2^9 - 
     141*T1^2*T2^10 + 138*T1^3*T2^10 + 410*T1^4*T2^10 - 498*T1^5*T2^10 + 
     148*T1^6*T2^10 - 349*T1^7*T2^10 - 190*T1^8*T2^10 + 636*T1^9*T2^10 + 
     1102*T1^10*T2^10 - 611*T1^11*T2^10 + 854*T1^12*T2^10 + 114*T1^13*T2^10 - 
     550*T1^14*T2^10 + 106*T1^15*T2^10 + 267*T1^16*T2^10 + 107*T1^3*T2^11 - 
     394*T1^4*T2^11 + 32*T1^5*T2^11 + 402*T1^6*T2^11 - 421*T1^7*T2^11 + 
     501*T1^8*T2^11 - 643*T1^9*T2^11 - 611*T1^10*T2^11 - 651*T1^11*T2^11 + 
     496*T1^12*T2^11 - 930*T1^13*T2^11 + 500*T1^14*T2^11 + 214*T1^15*T2^11 - 
     393*T1^16*T2^11 - 9*T1^4*T2^12 + 406*T1^5*T2^12 - 478*T1^6*T2^12 + 
     90*T1^7*T2^12 + 328*T1^8*T2^12 - 360*T1^9*T2^12 + 854*T1^10*T2^12 + 
     496*T1^11*T2^12 - 208*T1^12*T2^12 + 290*T1^13*T2^12 + 266*T1^14*T2^12 - 
     650*T1^15*T2^12 + 455*T1^16*T2^12 - 93*T1^5*T2^13 - 150*T1^6*T2^13 + 
     520*T1^7*T2^13 - 564*T1^8*T2^13 + 128*T1^9*T2^13 + 114*T1^10*T2^13 - 
     930*T1^11*T2^13 + 290*T1^12*T2^13 + 86*T1^13*T2^13 - 670*T1^14*T2^13 + 
     778*T1^15*T2^13 - 393*T1^16*T2^13 + 131*T1^6*T2^14 - 154*T1^7*T2^14 - 
     110*T1^8*T2^14 + 486*T1^9*T2^14 - 550*T1^10*T2^14 + 500*T1^11*T2^14 + 
     266*T1^12*T2^14 - 670*T1^13*T2^14 + 910*T1^14*T2^14 - 698*T1^15*T2^14 + 
     267*T1^16*T2^14 - 93*T1^7*T2^15 + 250*T1^8*T2^15 - 298*T1^9*T2^15 + 
     106*T1^10*T2^15 + 214*T1^11*T2^15 - 650*T1^12*T2^15 + 778*T1^13*T2^15 - 
     698*T1^14*T2^15 + 410*T1^15*T2^15 - 125*T1^16*T2^15 + 31*T1^8*T2^16 - 
     125*T1^9*T2^16 + 267*T1^10*T2^16 - 393*T1^11*T2^16 + 455*T1^12*T2^16 - 
     393*T1^13*T2^16 + 267*T1^14*T2^16 - 125*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 729] -> 
  {(4 - 18*T + 38*T^2 - 47*T^3 + 38*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-256 + 1148*T1 - 2408*T1^2 + 2968*T1^3 - 2408*T1^4 + 1148*T1^5 - 
     256*T1^6 + 1148*T2 - 4294*T1*T2 + 6968*T1^2*T2 - 5264*T1^3*T2 + 
     856*T1^4*T2 + 2936*T1^5*T2 - 2710*T1^6*T2 + 860*T1^7*T2 - 2408*T2^2 + 
     6968*T1*T2^2 - 6577*T1^2*T2^2 - 3133*T1^3*T2^2 + 11211*T1^4*T2^2 - 
     11949*T1^5*T2^2 + 3759*T1^6*T2^2 + 1496*T1^7*T2^2 - 1192*T1^8*T2^2 + 
     2968*T2^3 - 5264*T1*T2^3 - 3133*T1^2*T2^3 + 18962*T1^3*T2^3 - 
     19406*T1^4*T2^3 + 7150*T1^5*T2^3 + 9422*T1^6*T2^3 - 9517*T1^7*T2^3 + 
     2152*T1^8*T2^3 + 712*T1^9*T2^3 - 2408*T2^4 + 856*T1*T2^4 + 
     11211*T1^2*T2^4 - 19406*T1^3*T2^4 + 1647*T1^4*T2^4 + 18767*T1^5*T2^4 - 
     26749*T1^6*T2^4 + 9546*T1^7*T2^4 + 3859*T1^8*T2^4 - 3320*T1^9*T2^4 + 
     24*T1^10*T2^4 + 1148*T2^5 + 2936*T1*T2^5 - 11949*T1^2*T2^5 + 
     7150*T1^3*T2^5 + 18767*T1^4*T2^5 - 28538*T1^5*T2^5 + 16280*T1^6*T2^5 + 
     9723*T1^7*T2^5 - 14614*T1^8*T2^5 + 4163*T1^9*T2^5 + 1208*T1^10*T2^5 - 
     292*T1^11*T2^5 - 256*T2^6 - 2710*T1*T2^6 + 3759*T1^2*T2^6 + 
     9422*T1^3*T2^6 - 26749*T1^4*T2^6 + 16280*T1^5*T2^6 + 8748*T1^6*T2^6 - 
     25136*T1^7*T2^6 + 14179*T1^8*T2^6 + 2174*T1^9*T2^6 - 4369*T1^10*T2^6 + 
     746*T1^11*T2^6 + 128*T1^12*T2^6 + 860*T1*T2^7 + 1496*T1^2*T2^7 - 
     9517*T1^3*T2^7 + 9546*T1^4*T2^7 + 9723*T1^5*T2^7 - 25136*T1^6*T2^7 + 
     19682*T1^7*T2^7 + 679*T1^8*T2^7 - 12218*T1^9*T2^7 + 6595*T1^10*T2^7 - 
     232*T1^11*T2^7 - 580*T1^12*T2^7 - 1192*T1^2*T2^8 + 2152*T1^3*T2^8 + 
     3859*T1^4*T2^8 - 14614*T1^5*T2^8 + 14179*T1^6*T2^8 + 679*T1^7*T2^8 - 
     14217*T1^8*T2^8 + 14338*T1^9*T2^8 - 3493*T1^10*T2^8 - 2024*T1^11*T2^8 + 
     1240*T1^12*T2^8 + 712*T1^3*T2^9 - 3320*T1^4*T2^9 + 4163*T1^5*T2^9 + 
     2174*T1^6*T2^9 - 12218*T1^7*T2^9 + 14338*T1^8*T2^9 - 7366*T1^9*T2^9 - 
     2221*T1^10*T2^9 + 4096*T1^11*T2^9 - 1544*T1^12*T2^9 + 24*T1^4*T2^10 + 
     1208*T1^5*T2^10 - 4369*T1^6*T2^10 + 6595*T1^7*T2^10 - 3493*T1^8*T2^10 - 
     2221*T1^9*T2^10 + 5967*T1^10*T2^10 - 4264*T1^11*T2^10 + 
     1240*T1^12*T2^10 - 292*T1^5*T2^11 + 746*T1^6*T2^11 - 232*T1^7*T2^11 - 
     2024*T1^8*T2^11 + 4096*T1^9*T2^11 - 4264*T1^10*T2^11 + 
     2330*T1^11*T2^11 - 580*T1^12*T2^11 + 128*T1^6*T2^12 - 580*T1^7*T2^12 + 
     1240*T1^8*T2^12 - 1544*T1^9*T2^12 + 1240*T1^10*T2^12 - 580*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 730] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-336 + 1500*T1 - 2812*T1^2 + 3384*T1^3 - 2812*T1^4 + 1500*T1^5 - 
      336*T1^6 + 1500*T2 - 5494*T1*T2 + 7180*T1^2*T2 - 5016*T1^3*T2 + 
      384*T1^4*T2 + 3436*T1^5*T2 - 3910*T1^6*T2 + 1212*T1^7*T2 - 2812*T2^2 + 
      7180*T1*T2^2 - 1201*T1^2*T2^2 - 9343*T1^3*T2^2 + 16809*T1^4*T2^2 - 
      15599*T1^5*T2^2 + 6959*T1^6*T2^2 + 2284*T1^7*T2^2 - 1724*T1^8*T2^2 + 
      3384*T2^3 - 5016*T1*T2^3 - 9343*T1^2*T2^3 + 18714*T1^3*T2^3 - 
      16472*T1^4*T2^3 + 3844*T1^5*T2^3 + 9030*T1^6*T2^3 - 12607*T1^7*T2^3 + 
      1392*T1^8*T2^3 + 1416*T1^9*T2^3 - 2812*T2^4 + 384*T1*T2^4 + 
      16809*T1^2*T2^4 - 16472*T1^3*T2^4 + 4617*T1^4*T2^4 + 9165*T1^5*T2^4 - 
      13011*T1^6*T2^4 + 5504*T1^7*T2^4 + 8737*T1^8*T2^4 - 3504*T1^9*T2^4 - 
      636*T1^10*T2^4 + 1500*T2^5 + 3436*T1*T2^5 - 15599*T1^2*T2^5 + 
      3844*T1^3*T2^5 + 9165*T1^4*T2^5 - 12822*T1^5*T2^5 + 4176*T1^6*T2^5 + 
      7057*T1^7*T2^5 - 13152*T1^8*T2^5 - 367*T1^9*T2^5 + 2572*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3910*T1*T2^6 + 6959*T1^2*T2^6 + 
      9030*T1^3*T2^6 - 13011*T1^4*T2^6 + 4176*T1^5*T2^6 + 8088*T1^6*T2^6 - 
      11848*T1^7*T2^6 + 6477*T1^8*T2^6 + 7542*T1^9*T2^6 - 3857*T1^10*T2^6 - 
      454*T1^11*T2^6 + 48*T1^12*T2^6 + 1212*T1*T2^7 + 2284*T1^2*T2^7 - 
      12607*T1^3*T2^7 + 5504*T1^4*T2^7 + 7057*T1^5*T2^7 - 11848*T1^6*T2^7 + 
      5150*T1^7*T2^7 + 4949*T1^8*T2^7 - 11492*T1^9*T2^7 + 2625*T1^10*T2^7 + 
      1420*T1^11*T2^7 - 228*T1^12*T2^7 - 1724*T1^2*T2^8 + 1392*T1^3*T2^8 + 
      8737*T1^4*T2^8 - 13152*T1^5*T2^8 + 6477*T1^6*T2^8 + 4949*T1^7*T2^8 - 
      11151*T1^8*T2^8 + 8824*T1^9*T2^8 + 665*T1^10*T2^8 - 2496*T1^11*T2^8 + 
      452*T1^12*T2^8 + 1416*T1^3*T2^9 - 3504*T1^4*T2^9 - 367*T1^5*T2^9 + 
      7542*T1^6*T2^9 - 11492*T1^7*T2^9 + 8824*T1^8*T2^9 - 2142*T1^9*T2^9 - 
      3631*T1^10*T2^9 + 2904*T1^11*T2^9 - 552*T1^12*T2^9 - 636*T1^4*T2^10 + 
      2572*T1^5*T2^10 - 3857*T1^6*T2^10 + 2625*T1^7*T2^10 + 665*T1^8*T2^10 - 
      3631*T1^9*T2^10 + 4303*T1^10*T2^10 - 2324*T1^11*T2^10 + 
      452*T1^12*T2^10 + 60*T1^5*T2^11 - 454*T1^6*T2^11 + 1420*T1^7*T2^11 - 
      2496*T1^8*T2^11 + 2904*T1^9*T2^11 - 2324*T1^10*T2^11 + 
      1130*T1^11*T2^11 - 228*T1^12*T2^11 + 48*T1^6*T2^12 - 228*T1^7*T2^12 + 
      452*T1^8*T2^12 - 552*T1^9*T2^12 + 452*T1^10*T2^12 - 228*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 731] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-320 + 1108*T1 - 1728*T1^2 + 1960*T1^3 - 1728*T1^4 + 1108*T1^5 - 
      320*T1^6 + 1108*T2 - 2958*T1*T2 + 2944*T1^2*T2 - 2040*T1^3*T2 + 
      592*T1^4*T2 + 928*T1^5*T2 - 1950*T1^6*T2 + 884*T1^7*T2 - 1728*T2^2 + 
      2944*T1*T2^2 + 237*T1^2*T2^2 - 2571*T1^3*T2^2 + 4157*T1^4*T2^2 - 
      4507*T1^5*T2^2 + 3405*T1^6*T2^2 + 480*T1^7*T2^2 - 1024*T1^8*T2^2 + 
      1960*T2^3 - 2040*T1*T2^3 - 2571*T1^2*T2^3 + 2882*T1^3*T2^3 - 
      2486*T1^4*T2^3 + 1190*T1^5*T2^3 + 494*T1^6*T2^3 - 3627*T1^7*T2^3 + 
      928*T1^8*T2^3 + 760*T1^9*T2^3 - 1728*T2^4 + 592*T1*T2^4 + 
      4157*T1^2*T2^4 - 2486*T1^3*T2^4 + 1659*T1^4*T2^4 - 767*T1^5*T2^4 + 
      295*T1^6*T2^4 + 1314*T1^7*T2^4 + 2101*T1^8*T2^4 - 1536*T1^9*T2^4 - 
      320*T1^10*T2^4 + 1108*T2^5 + 928*T1*T2^5 - 4507*T1^2*T2^5 + 
      1190*T1^3*T2^5 - 767*T1^4*T2^5 + 1058*T1^5*T2^5 - 1316*T1^6*T2^5 + 
      69*T1^7*T2^5 - 2238*T1^8*T2^5 + 69*T1^9*T2^5 + 1152*T1^10*T2^5 - 
      12*T1^11*T2^5 - 320*T2^6 - 1950*T1*T2^6 + 3405*T1^2*T2^6 + 
      494*T1^3*T2^6 + 295*T1^4*T2^6 - 1316*T1^5*T2^6 + 744*T1^6*T2^6 + 
      804*T1^7*T2^6 + 231*T1^8*T2^6 + 1790*T1^9*T2^6 - 1587*T1^10*T2^6 - 
      158*T1^11*T2^6 + 64*T1^12*T2^6 + 884*T1*T2^7 + 480*T1^2*T2^7 - 
      3627*T1^3*T2^7 + 1314*T1^4*T2^7 + 69*T1^5*T2^7 + 804*T1^6*T2^7 - 
      1570*T1^7*T2^7 + 905*T1^8*T2^7 - 2114*T1^9*T2^7 + 949*T1^10*T2^7 + 
      704*T1^11*T2^7 - 236*T1^12*T2^7 - 1024*T1^2*T2^8 + 928*T1^3*T2^8 + 
      2101*T1^4*T2^8 - 2238*T1^5*T2^8 + 231*T1^6*T2^8 + 905*T1^7*T2^8 - 
      1133*T1^8*T2^8 + 1562*T1^9*T2^8 + 45*T1^10*T2^8 - 1200*T1^11*T2^8 + 
      384*T1^12*T2^8 + 760*T1^3*T2^9 - 1536*T1^4*T2^9 + 69*T1^5*T2^9 + 
      1790*T1^6*T2^9 - 2114*T1^7*T2^9 + 1562*T1^8*T2^9 - 598*T1^9*T2^9 - 
      987*T1^10*T2^9 + 1432*T1^11*T2^9 - 440*T1^12*T2^9 - 320*T1^4*T2^10 + 
      1152*T1^5*T2^10 - 1587*T1^6*T2^10 + 949*T1^7*T2^10 + 45*T1^8*T2^10 - 
      987*T1^9*T2^10 + 1581*T1^10*T2^10 - 1312*T1^11*T2^10 + 
      384*T1^12*T2^10 - 12*T1^5*T2^11 - 158*T1^6*T2^11 + 704*T1^7*T2^11 - 
      1200*T1^8*T2^11 + 1432*T1^9*T2^11 - 1312*T1^10*T2^11 + 
      850*T1^11*T2^11 - 236*T1^12*T2^11 + 64*T1^6*T2^12 - 236*T1^7*T2^12 + 
      384*T1^8*T2^12 - 440*T1^9*T2^12 + 384*T1^10*T2^12 - 236*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 732] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-45 + 167*T1 - 321*T1^2 + 385*T1^3 - 321*T1^4 + 167*T1^5 - 45*T1^6 + 
     167*T2 - 551*T1*T2 + 933*T1^2*T2 - 929*T1^3*T2 + 589*T1^4*T2 - 
     123*T1^5*T2 - 89*T1^6*T2 + 68*T1^7*T2 - 321*T2^2 + 933*T1*T2^2 - 
     1265*T1^2*T2^2 + 733*T1^3*T2^2 + 217*T1^4*T2^2 - 1031*T1^5*T2^2 + 
     1003*T1^6*T2^2 - 453*T1^7*T2^2 + 57*T1^8*T2^2 + 385*T2^3 - 929*T1*T2^3 + 
     733*T1^2*T2^3 + 476*T1^3*T2^3 - 1610*T1^4*T2^3 + 1816*T1^5*T2^3 - 
     616*T1^6*T2^3 - 758*T1^7*T2^3 + 853*T1^8*T2^3 - 290*T1^9*T2^3 - 
     321*T2^4 + 589*T1*T2^4 + 217*T1^2*T2^4 - 1610*T1^3*T2^4 + 
     2164*T1^4*T2^4 - 1068*T1^5*T2^4 - 1000*T1^6*T2^4 + 1990*T1^7*T2^4 - 
     541*T1^8*T2^4 - 533*T1^9*T2^4 + 435*T1^10*T2^4 + 167*T2^5 - 
     123*T1*T2^5 - 1031*T1^2*T2^5 + 1816*T1^3*T2^5 - 1068*T1^4*T2^5 - 
     1397*T1^5*T2^5 + 2887*T1^6*T2^5 - 1929*T1^7*T2^5 - 1262*T1^8*T2^5 + 
     1552*T1^9*T2^5 - 387*T1^10*T2^5 - 328*T1^11*T2^5 - 45*T2^6 - 
     89*T1*T2^6 + 1003*T1^2*T2^6 - 616*T1^3*T2^6 - 1000*T1^4*T2^6 + 
     2887*T1^5*T2^6 - 1488*T1^6*T2^6 - 1343*T1^7*T2^6 + 3910*T1^8*T2^6 - 
     1504*T1^9*T2^6 - 541*T1^10*T2^6 + 769*T1^11*T2^6 + 117*T1^12*T2^6 + 
     68*T1*T2^7 - 453*T1^2*T2^7 - 758*T1^3*T2^7 + 1990*T1^4*T2^7 - 
     1929*T1^5*T2^7 - 1343*T1^6*T2^7 + 2941*T1^7*T2^7 - 2790*T1^8*T2^7 - 
     1088*T1^9*T2^7 + 1825*T1^10*T2^7 - 717*T1^11*T2^7 - 427*T1^12*T2^7 + 
     57*T1^2*T2^8 + 853*T1^3*T2^8 - 541*T1^4*T2^8 - 1262*T1^5*T2^8 + 
     3910*T1^6*T2^8 - 2790*T1^7*T2^8 + 746*T1^8*T2^8 + 2338*T1^9*T2^8 - 
     1299*T1^10*T2^8 - 269*T1^11*T2^8 + 813*T1^12*T2^8 - 290*T1^3*T2^9 - 
     533*T1^4*T2^9 + 1552*T1^5*T2^9 - 1504*T1^6*T2^9 - 1088*T1^7*T2^9 + 
     2338*T1^8*T2^9 - 2596*T1^9*T2^9 + 61*T1^10*T2^9 + 1249*T1^11*T2^9 - 
     965*T1^12*T2^9 + 435*T1^4*T2^10 - 387*T1^5*T2^10 - 541*T1^6*T2^10 + 
     1825*T1^7*T2^10 - 1299*T1^8*T2^10 + 61*T1^9*T2^10 + 1727*T1^10*T2^10 - 
     1773*T1^11*T2^10 + 813*T1^12*T2^10 - 328*T1^5*T2^11 + 769*T1^6*T2^11 - 
     717*T1^7*T2^11 - 269*T1^8*T2^11 + 1249*T1^9*T2^11 - 1773*T1^10*T2^11 + 
     1231*T1^11*T2^11 - 427*T1^12*T2^11 + 117*T1^6*T2^12 - 427*T1^7*T2^12 + 
     813*T1^8*T2^12 - 965*T1^9*T2^12 + 813*T1^10*T2^12 - 427*T1^11*T2^12 + 
     117*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 733] -> 
  {-((3 - 11*T + 15*T^2 - 15*T^3 + 15*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-144 + 526*T1 - 714*T1^2 + 714*T1^3 - 714*T1^4 + 526*T1^5 - 144*T1^6 + 
      526*T2 - 1495*T1*T2 + 1051*T1^2*T2 - 495*T1^3*T2 + 495*T1^4*T2 + 
      193*T1^5*T2 - 1033*T1^6*T2 + 427*T1^7*T2 - 714*T2^2 + 1051*T1*T2^2 + 
      1704*T1^2*T2^2 - 2616*T1^3*T2^2 + 2076*T1^4*T2^2 - 2976*T1^5*T2^2 + 
      2784*T1^6*T2^2 + 61*T1^7*T2^2 - 444*T1^8*T2^2 + 714*T2^3 - 
      495*T1*T2^3 - 2616*T1^2*T2^3 + 1578*T1^3*T2^3 - 186*T1^4*T2^3 + 
      1254*T1^5*T2^3 - 282*T1^6*T2^3 - 2331*T1^7*T2^3 + 495*T1^8*T2^3 + 
      309*T1^9*T2^3 - 714*T2^4 + 495*T1*T2^4 + 2076*T1^2*T2^4 - 
      186*T1^3*T2^4 - 498*T1^4*T2^4 - 1130*T1^5*T2^4 + 342*T1^6*T2^4 + 
      1074*T1^7*T2^4 + 1146*T1^8*T2^4 - 495*T1^9*T2^4 - 174*T1^10*T2^4 + 
      526*T2^5 + 193*T1*T2^5 - 2976*T1^2*T2^5 + 1254*T1^3*T2^5 - 
      1130*T1^4*T2^5 + 2603*T1^5*T2^5 - 1207*T1^6*T2^5 - 545*T1^7*T2^5 - 
      546*T1^8*T2^5 - 681*T1^9*T2^5 + 523*T1^10*T2^5 + 31*T1^11*T2^5 - 
      144*T2^6 - 1033*T1*T2^6 + 2784*T1^2*T2^6 - 282*T1^3*T2^6 + 
      342*T1^4*T2^6 - 1207*T1^5*T2^6 - 1020*T1^6*T2^6 + 2207*T1^7*T2^6 - 
      708*T1^8*T2^6 + 1218*T1^9*T2^6 - 380*T1^10*T2^6 - 175*T1^11*T2^6 + 
      18*T1^12*T2^6 + 427*T1*T2^7 + 61*T1^2*T2^7 - 2331*T1^3*T2^7 + 
      1074*T1^4*T2^7 - 545*T1^5*T2^7 + 2207*T1^6*T2^7 - 1603*T1^7*T2^7 + 
      40*T1^8*T2^7 - 726*T1^9*T2^7 - 36*T1^10*T2^7 + 391*T1^11*T2^7 - 
      68*T1^12*T2^7 - 444*T1^2*T2^8 + 495*T1^3*T2^8 + 1146*T1^4*T2^8 - 
      546*T1^5*T2^8 - 708*T1^6*T2^8 + 40*T1^7*T2^8 + 132*T1^8*T2^8 + 
      714*T1^9*T2^8 + 216*T1^10*T2^8 - 495*T1^11*T2^8 + 96*T1^12*T2^8 + 
      309*T1^3*T2^9 - 495*T1^4*T2^9 - 681*T1^5*T2^9 + 1218*T1^6*T2^9 - 
      726*T1^7*T2^9 + 714*T1^8*T2^9 - 642*T1^9*T2^9 - 396*T1^10*T2^9 + 
      495*T1^11*T2^9 - 96*T1^12*T2^9 - 174*T1^4*T2^10 + 523*T1^5*T2^10 - 
      380*T1^6*T2^10 - 36*T1^7*T2^10 + 216*T1^8*T2^10 - 396*T1^9*T2^10 + 
      700*T1^10*T2^10 - 467*T1^11*T2^10 + 96*T1^12*T2^10 + 31*T1^5*T2^11 - 
      175*T1^6*T2^11 + 391*T1^7*T2^11 - 495*T1^8*T2^11 + 495*T1^9*T2^11 - 
      467*T1^10*T2^11 + 287*T1^11*T2^11 - 68*T1^12*T2^11 + 18*T1^6*T2^12 - 
      68*T1^7*T2^12 + 96*T1^8*T2^12 - 96*T1^9*T2^12 + 96*T1^10*T2^12 - 
      68*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 734] -> 
  {-((2 - 10*T + 26*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 529*T1^2 + 935*T1^3 - 1117*T1^4 + 935*T1^5 - 
      529*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1820*T1^2*T2 - 
      2544*T1^3*T2 + 1828*T1^4*T2 - 192*T1^5*T2 - 1104*T1^6*T2 + 
      1100*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 529*T2^2 + 1820*T1*T2^2 - 
      3095*T1^2*T2^2 + 3135*T1^3*T2^2 + 81*T1^4*T2^2 - 2913*T1^5*T2^2 + 
      3097*T1^6*T2^2 - 609*T1^7*T2^2 - 599*T1^8*T2^2 + 780*T1^9*T2^2 - 
      321*T1^10*T2^2 + 935*T2^3 - 2544*T1*T2^3 + 3135*T1^2*T2^3 - 
      1546*T1^3*T2^3 - 4201*T1^4*T2^3 + 4994*T1^5*T2^3 - 1394*T1^6*T2^3 - 
      3421*T1^7*T2^3 + 2342*T1^8*T2^3 - 921*T1^9*T2^3 - 304*T1^10*T2^3 + 
      383*T1^11*T2^3 - 1117*T2^4 + 1828*T1*T2^4 + 81*T1^2*T2^4 - 
      4201*T1^3*T2^4 + 10889*T1^4*T2^4 - 5491*T1^5*T2^4 - 1841*T1^6*T2^4 + 
      5349*T1^7*T2^4 + 1089*T1^8*T2^4 - 2361*T1^9*T2^4 + 2321*T1^10*T2^4 - 
      732*T1^11*T2^4 - 237*T1^12*T2^4 + 935*T2^5 - 192*T1*T2^5 - 
      2913*T1^2*T2^5 + 4994*T1^3*T2^5 - 5491*T1^4*T2^5 - 8844*T1^5*T2^5 + 
      12670*T1^6*T2^5 - 5886*T1^7*T2^5 - 7902*T1^8*T2^5 + 5353*T1^9*T2^5 - 
      2394*T1^10*T2^5 - 765*T1^11*T2^5 + 1108*T1^12*T2^5 + 15*T1^13*T2^5 - 
      529*T2^6 - 1104*T1*T2^6 + 3097*T1^2*T2^6 - 1394*T1^3*T2^6 - 
      1841*T1^4*T2^6 + 12670*T1^5*T2^6 - 251*T1^6*T2^6 - 16345*T1^7*T2^6 + 
      23937*T1^8*T2^6 - 7122*T1^9*T2^6 - 681*T1^10*T2^6 + 3494*T1^11*T2^6 - 
      1471*T1^12*T2^6 - 544*T1^13*T2^6 + 95*T1^14*T2^6 + 204*T2^7 + 
      1100*T1*T2^7 - 609*T1^2*T2^7 - 3421*T1^3*T2^7 + 5349*T1^4*T2^7 - 
      5886*T1^5*T2^7 - 16345*T1^6*T2^7 + 26272*T1^7*T2^7 - 16042*T1^8*T2^7 - 
      8645*T1^9*T2^7 + 10198*T1^10*T2^7 - 5479*T1^11*T2^7 + 39*T1^12*T2^7 + 
      1575*T1^13*T2^7 - 100*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 599*T1^2*T2^8 + 2342*T1^3*T2^8 + 1089*T1^4*T2^8 - 
      7902*T1^5*T2^8 + 23937*T1^6*T2^8 - 16042*T1^7*T2^8 - 7008*T1^8*T2^8 + 
      23422*T1^9*T2^8 - 11871*T1^10*T2^8 + 810*T1^11*T2^8 + 3233*T1^12*T2^8 - 
      2106*T1^13*T2^8 - 359*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 780*T1^2*T2^9 - 921*T1^3*T2^9 - 2361*T1^4*T2^9 + 
      5353*T1^5*T2^9 - 7122*T1^6*T2^9 - 8645*T1^7*T2^9 + 23422*T1^8*T2^9 - 
      18892*T1^9*T2^9 - 945*T1^10*T2^9 + 8962*T1^11*T2^9 - 5475*T1^12*T2^9 + 
      1099*T1^13*T2^9 + 1263*T1^14*T2^9 - 420*T1^15*T2^9 - 116*T1^16*T2^9 - 
      321*T1^2*T2^10 - 304*T1^3*T2^10 + 2321*T1^4*T2^10 - 2394*T1^5*T2^10 - 
      681*T1^6*T2^10 + 10198*T1^7*T2^10 - 11871*T1^8*T2^10 - 945*T1^9*T2^10 + 
      12317*T1^10*T2^10 - 9594*T1^11*T2^10 + 479*T1^12*T2^10 + 
      2494*T1^13*T2^10 - 2247*T1^14*T2^10 + 256*T1^15*T2^10 + 
      303*T1^16*T2^10 + 383*T1^3*T2^11 - 732*T1^4*T2^11 - 765*T1^5*T2^11 + 
      3494*T1^6*T2^11 - 5479*T1^7*T2^11 + 810*T1^8*T2^11 + 8962*T1^9*T2^11 - 
      9594*T1^10*T2^11 + 1752*T1^11*T2^11 + 5365*T1^12*T2^11 - 
      3894*T1^13*T2^11 + 1383*T1^14*T2^11 + 568*T1^15*T2^11 - 
      537*T1^16*T2^11 - 237*T1^4*T2^12 + 1108*T1^5*T2^12 - 1471*T1^6*T2^12 + 
      39*T1^7*T2^12 + 3233*T1^8*T2^12 - 5475*T1^9*T2^12 + 479*T1^10*T2^12 + 
      5365*T1^11*T2^12 - 6567*T1^12*T2^12 + 1879*T1^13*T2^12 + 
      769*T1^14*T2^12 - 1452*T1^15*T2^12 + 643*T1^16*T2^12 + 15*T1^5*T2^13 - 
      544*T1^6*T2^13 + 1575*T1^7*T2^13 - 2106*T1^8*T2^13 + 1099*T1^9*T2^13 + 
      2494*T1^10*T2^13 - 3894*T1^11*T2^13 + 1879*T1^12*T2^13 + 
      1782*T1^13*T2^13 - 2481*T1^14*T2^13 + 1696*T1^15*T2^13 - 
      537*T1^16*T2^13 + 95*T1^6*T2^14 - 100*T1^7*T2^14 - 359*T1^8*T2^14 + 
      1263*T1^9*T2^14 - 2247*T1^10*T2^14 + 1383*T1^11*T2^14 + 
      769*T1^12*T2^14 - 2481*T1^13*T2^14 + 2137*T1^14*T2^14 - 
      1140*T1^15*T2^14 + 303*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      420*T1^9*T2^15 + 256*T1^10*T2^15 + 568*T1^11*T2^15 - 1452*T1^12*T2^15 + 
      1696*T1^13*T2^15 - 1140*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 303*T1^10*T2^16 - 
      537*T1^11*T2^16 + 643*T1^12*T2^16 - 537*T1^13*T2^16 + 303*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 735] -> 
  {-(((-2 + T)*(-1 + 2*T)*(3 - 5*T + 3*T^2))/T^2), 
   -((-747 + 3083*T1 - 4535*T1^2 + 3083*T1^3 - 747*T1^4 + 3083*T2 - 
      10552*T1*T2 + 9758*T1^2*T2 + 458*T1^3*T2 - 5902*T1^4*T2 + 
      2183*T1^5*T2 - 4535*T2^2 + 9758*T1*T2^2 + 7392*T1^2*T2^2 - 
      27732*T1^3*T2^2 + 21156*T1^4*T2^2 - 1342*T1^5*T2^2 - 1871*T1^6*T2^2 + 
      3083*T2^3 + 458*T1*T2^3 - 27732*T1^2*T2^3 + 36155*T1^3*T2^3 - 
      7245*T1^4*T2^3 - 15707*T1^5*T2^3 + 6158*T1^6*T2^3 + 383*T1^7*T2^3 - 
      747*T2^4 - 5902*T1*T2^4 + 21156*T1^2*T2^4 - 7245*T1^3*T2^4 - 
      24372*T1^4*T2^4 + 27905*T1^5*T2^4 - 4766*T1^6*T2^4 - 2002*T1^7*T2^4 + 
      117*T1^8*T2^4 + 2183*T1*T2^5 - 1342*T1^2*T2^5 - 15707*T1^3*T2^5 + 
      27905*T1^4*T2^5 - 15495*T1^5*T2^5 - 3682*T1^6*T2^5 + 4358*T1^7*T2^5 - 
      517*T1^8*T2^5 - 1871*T1^2*T2^6 + 6158*T1^3*T2^6 - 4766*T1^4*T2^6 - 
      3682*T1^5*T2^6 + 8998*T1^6*T2^6 - 4942*T1^7*T2^6 + 793*T1^8*T2^6 + 
      383*T1^3*T2^7 - 2002*T1^4*T2^7 + 4358*T1^5*T2^7 - 4942*T1^6*T2^7 + 
      2648*T1^7*T2^7 - 517*T1^8*T2^7 + 117*T1^4*T2^8 - 517*T1^5*T2^8 + 
      793*T1^6*T2^8 - 517*T1^7*T2^8 + 117*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 736] -> 
  {-(((1 - T + T^2)*(4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4))/T^3), 
   -((-192 + 760*T1 - 1468*T1^2 + 1848*T1^3 - 1468*T1^4 + 760*T1^5 - 
      192*T1^6 + 760*T2 - 2512*T1*T2 + 3840*T1^2*T2 - 3492*T1^3*T2 + 
      988*T1^4*T2 + 832*T1^5*T2 - 1232*T1^6*T2 + 504*T1^7*T2 - 1468*T2^2 + 
      3840*T1*T2^2 - 3908*T1^2*T2^2 + 960*T1^3*T2^2 + 4104*T1^4*T2^2 - 
      4744*T1^5*T2^2 + 2788*T1^6*T2^2 - 128*T1^7*T2^2 - 476*T1^8*T2^2 + 
      1848*T2^3 - 3492*T1*T2^3 + 960*T1^2*T2^3 + 3872*T1^3*T2^3 - 
      8416*T1^4*T2^3 + 4308*T1^5*T2^3 + 684*T1^6*T2^3 - 3628*T1^7*T2^3 + 
      2012*T1^8*T2^3 - 24*T1^9*T2^3 - 1468*T2^4 + 988*T1*T2^4 + 
      4104*T1^2*T2^4 - 8416*T1^3*T2^4 + 8666*T1^4*T2^4 + 1150*T1^5*T2^4 - 
      6646*T1^6*T2^4 + 5936*T1^7*T2^4 - 488*T1^8*T2^4 - 1956*T1^9*T2^4 + 
      516*T1^10*T2^4 + 760*T2^5 + 832*T1*T2^5 - 4744*T1^2*T2^5 + 
      4308*T1^3*T2^5 + 1150*T1^4*T2^5 - 11091*T1^5*T2^5 + 10003*T1^6*T2^5 - 
      1609*T1^7*T2^5 - 5160*T1^8*T2^5 + 4308*T1^9*T2^5 - 520*T1^11*T2^5 - 
      192*T2^6 - 1232*T1*T2^6 + 2788*T1^2*T2^6 + 684*T1^3*T2^6 - 
      6646*T1^4*T2^6 + 10003*T1^5*T2^6 - 2088*T1^6*T2^6 - 8091*T1^7*T2^6 + 
      8288*T1^8*T2^6 - 2068*T1^9*T2^6 - 2932*T1^10*T2^6 + 1328*T1^11*T2^6 + 
      192*T1^12*T2^6 + 504*T1*T2^7 - 128*T1^2*T2^7 - 3628*T1^3*T2^7 + 
      5936*T1^4*T2^7 - 1609*T1^5*T2^7 - 8091*T1^6*T2^7 + 13003*T1^7*T2^7 - 
      4368*T1^8*T2^7 - 3532*T1^9*T2^7 + 5424*T1^10*T2^7 - 960*T1^11*T2^7 - 
      776*T1^12*T2^7 - 476*T1^2*T2^8 + 2012*T1^3*T2^8 - 488*T1^4*T2^8 - 
      5160*T1^5*T2^8 + 8288*T1^6*T2^8 - 4368*T1^7*T2^8 - 7024*T1^8*T2^8 + 
      9192*T1^9*T2^8 - 5080*T1^10*T2^8 - 932*T1^11*T2^8 + 1508*T1^12*T2^8 - 
      24*T1^3*T2^9 - 1956*T1^4*T2^9 + 4308*T1^5*T2^9 - 2068*T1^6*T2^9 - 
      3532*T1^7*T2^9 + 9192*T1^8*T2^9 - 5256*T1^9*T2^9 - 280*T1^10*T2^9 + 
      3548*T1^11*T2^9 - 1896*T1^12*T2^9 + 516*T1^4*T2^10 - 2932*T1^6*T2^10 + 
      5424*T1^7*T2^10 - 5080*T1^8*T2^10 - 280*T1^9*T2^10 + 3764*T1^10*T2^10 - 
      3968*T1^11*T2^10 + 1508*T1^12*T2^10 - 520*T1^5*T2^11 + 
      1328*T1^6*T2^11 - 960*T1^7*T2^11 - 932*T1^8*T2^11 + 3548*T1^9*T2^11 - 
      3968*T1^10*T2^11 + 2608*T1^11*T2^11 - 776*T1^12*T2^11 + 
      192*T1^6*T2^12 - 776*T1^7*T2^12 + 1508*T1^8*T2^12 - 1896*T1^9*T2^12 + 
      1508*T1^10*T2^12 - 776*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 737] -> 
  {((1 - T + T^2)*(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6))/T^4, 
   (-15 + 69*T1 - 164*T1^2 + 254*T1^3 - 295*T1^4 + 254*T1^5 - 164*T1^6 + 
     69*T1^7 - 15*T1^8 + 69*T2 - 282*T1*T2 + 591*T1^2*T2 - 780*T1^3*T2 + 
     759*T1^4*T2 - 483*T1^5*T2 + 174*T1^6*T2 + 51*T1^7*T2 - 84*T1^8*T2 + 
     33*T1^9*T2 - 164*T2^2 + 591*T1*T2^2 - 1049*T1^2*T2^2 + 1044*T1^3*T2^2 - 
     604*T1^4*T2^2 - 205*T1^5*T2^2 + 740*T1^6*T2^2 - 888*T1^7*T2^2 + 
     547*T1^8*T2^2 - 165*T1^9*T2^2 + 4*T1^10*T2^2 + 254*T2^3 - 780*T1*T2^3 + 
     1044*T1^2*T2^3 - 421*T1^3*T2^3 - 539*T1^4*T2^3 + 1472*T1^5*T2^3 - 
     1393*T1^6*T2^3 + 646*T1^7*T2^3 + 437*T1^8*T2^3 - 909*T1^9*T2^3 + 
     570*T1^10*T2^3 - 130*T1^11*T2^3 - 295*T2^4 + 759*T1*T2^4 - 
     604*T1^2*T2^4 - 539*T1^3*T2^4 + 1396*T1^4*T2^4 - 1541*T1^5*T2^4 + 
     424*T1^6*T2^4 + 867*T1^7*T2^4 - 1492*T1^8*T2^4 + 933*T1^9*T2^4 + 
     428*T1^10*T2^4 - 753*T1^11*T2^4 + 297*T1^12*T2^4 + 254*T2^5 - 
     483*T1*T2^5 - 205*T1^2*T2^5 + 1472*T1^3*T2^5 - 1541*T1^4*T2^5 + 
     443*T1^5*T2^5 + 1090*T1^6*T2^5 - 1931*T1^7*T2^5 + 985*T1^8*T2^5 + 
     425*T1^9*T2^5 - 1875*T1^10*T2^5 + 722*T1^11*T2^5 + 399*T1^12*T2^5 - 
     386*T1^13*T2^5 - 164*T2^6 + 174*T1*T2^6 + 740*T1^2*T2^6 - 
     1393*T1^3*T2^6 + 424*T1^4*T2^6 + 1090*T1^5*T2^6 - 1159*T1^6*T2^6 + 
     511*T1^7*T2^6 + 1997*T1^8*T2^6 - 2396*T1^9*T2^6 + 2410*T1^10*T2^6 + 
     749*T1^11*T2^6 - 1228*T1^12*T2^6 + 210*T1^13*T2^6 + 340*T1^14*T2^6 + 
     69*T2^7 + 51*T1*T2^7 - 888*T1^2*T2^7 + 646*T1^3*T2^7 + 867*T1^4*T2^7 - 
     1931*T1^5*T2^7 + 511*T1^6*T2^7 - 127*T1^7*T2^7 - 1939*T1^8*T2^7 + 
     11*T1^9*T2^7 + 160*T1^10*T2^7 - 2867*T1^11*T2^7 + 609*T1^12*T2^7 + 
     939*T1^13*T2^7 - 705*T1^14*T2^7 - 183*T1^15*T2^7 - 15*T2^8 - 
     84*T1*T2^8 + 547*T1^2*T2^8 + 437*T1^3*T2^8 - 1492*T1^4*T2^8 + 
     985*T1^5*T2^8 + 1997*T1^6*T2^8 - 1939*T1^7*T2^8 + 3912*T1^8*T2^8 - 
     797*T1^9*T2^8 + 1753*T1^10*T2^8 + 407*T1^11*T2^8 + 2752*T1^12*T2^8 - 
     2161*T1^13*T2^8 + 373*T1^14*T2^8 + 600*T1^15*T2^8 + 49*T1^16*T2^8 + 
     33*T1*T2^9 - 165*T1^2*T2^9 - 909*T1^3*T2^9 + 933*T1^4*T2^9 + 
     425*T1^5*T2^9 - 2396*T1^6*T2^9 + 11*T1^7*T2^9 - 797*T1^8*T2^9 - 
     2609*T1^9*T2^9 - 489*T1^10*T2^9 - 305*T1^11*T2^9 - 3309*T1^12*T2^9 + 
     896*T1^13*T2^9 + 918*T1^14*T2^9 - 921*T1^15*T2^9 - 219*T1^16*T2^9 + 
     4*T1^2*T2^10 + 570*T1^3*T2^10 + 428*T1^4*T2^10 - 1875*T1^5*T2^10 + 
     2410*T1^6*T2^10 + 160*T1^7*T2^10 + 1753*T1^8*T2^10 - 489*T1^9*T2^10 + 
     4909*T1^10*T2^10 - 3326*T1^11*T2^10 + 4396*T1^12*T2^10 + 
     267*T1^13*T2^10 - 1540*T1^14*T2^10 + 606*T1^15*T2^10 + 508*T1^16*T2^10 - 
     130*T1^3*T2^11 - 753*T1^4*T2^11 + 722*T1^5*T2^11 + 749*T1^6*T2^11 - 
     2867*T1^7*T2^11 + 407*T1^8*T2^11 - 305*T1^9*T2^11 - 3326*T1^10*T2^11 + 
     949*T1^11*T2^11 - 901*T1^12*T2^11 - 2598*T1^13*T2^11 + 
     1649*T1^14*T2^11 + 129*T1^15*T2^11 - 770*T1^16*T2^11 + 297*T1^4*T2^12 + 
     399*T1^5*T2^12 - 1228*T1^6*T2^12 + 609*T1^7*T2^12 + 2752*T1^8*T2^12 - 
     3309*T1^9*T2^12 + 4396*T1^10*T2^12 - 901*T1^11*T2^12 - 136*T1^12*T2^12 + 
     2081*T1^13*T2^12 - 196*T1^14*T2^12 - 1113*T1^15*T2^12 + 
     889*T1^16*T2^12 - 386*T1^5*T2^13 + 210*T1^6*T2^13 + 939*T1^7*T2^13 - 
     2161*T1^8*T2^13 + 896*T1^9*T2^13 + 267*T1^10*T2^13 - 2598*T1^11*T2^13 + 
     2081*T1^12*T2^13 - 1303*T1^13*T2^13 - 1014*T1^14*T2^13 + 
     1560*T1^15*T2^13 - 770*T1^16*T2^13 + 340*T1^6*T2^14 - 705*T1^7*T2^14 + 
     373*T1^8*T2^14 + 918*T1^9*T2^14 - 1540*T1^10*T2^14 + 1649*T1^11*T2^14 - 
     196*T1^12*T2^14 - 1014*T1^13*T2^14 + 1969*T1^14*T2^14 - 
     1461*T1^15*T2^14 + 508*T1^16*T2^14 - 183*T1^7*T2^15 + 600*T1^8*T2^15 - 
     921*T1^9*T2^15 + 606*T1^10*T2^15 + 129*T1^11*T2^15 - 1113*T1^12*T2^15 + 
     1560*T1^13*T2^15 - 1461*T1^14*T2^15 + 798*T1^15*T2^15 - 
     219*T1^16*T2^15 + 49*T1^8*T2^16 - 219*T1^9*T2^16 + 508*T1^10*T2^16 - 
     770*T1^11*T2^16 + 889*T1^12*T2^16 - 770*T1^13*T2^16 + 508*T1^14*T2^16 - 
     219*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 738] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-45 + 199*T1 - 417*T1^2 + 513*T1^3 - 417*T1^4 + 199*T1^5 - 45*T1^6 + 
     199*T2 - 795*T1*T2 + 1465*T1^2*T2 - 1473*T1^3*T2 + 867*T1^4*T2 - 
     95*T1^5*T2 - 171*T1^6*T2 + 82*T1^7*T2 - 417*T2^2 + 1465*T1*T2^2 - 
     2118*T1^2*T2^2 + 1008*T1^3*T2^2 + 916*T1^4*T2^2 - 2232*T1^5*T2^2 + 
     1770*T1^6*T2^2 - 641*T1^7*T2^2 + 69*T1^8*T2^2 + 513*T2^3 - 
     1473*T1*T2^3 + 1008*T1^2*T2^3 + 2030*T1^3*T2^3 - 4712*T1^4*T2^3 + 
     4468*T1^5*T2^3 - 1318*T1^6*T2^3 - 1395*T1^7*T2^3 + 1335*T1^8*T2^3 - 
     378*T1^9*T2^3 - 417*T2^4 + 867*T1*T2^4 + 916*T1^2*T2^4 - 
     4712*T1^3*T2^4 + 5673*T1^4*T2^4 - 1469*T1^5*T2^4 - 3711*T1^6*T2^4 + 
     5188*T1^7*T2^4 - 1490*T1^8*T2^4 - 771*T1^9*T2^4 + 555*T1^10*T2^4 + 
     199*T2^5 - 95*T1*T2^5 - 2232*T1^2*T2^5 + 4468*T1^3*T2^5 - 
     1469*T1^4*T2^5 - 6049*T1^5*T2^5 + 8411*T1^6*T2^5 - 4466*T1^7*T2^5 - 
     3272*T1^8*T2^5 + 3519*T1^9*T2^5 - 719*T1^10*T2^5 - 386*T1^11*T2^5 - 
     45*T2^6 - 171*T1*T2^6 + 1770*T1^2*T2^6 - 1318*T1^3*T2^6 - 
     3711*T1^4*T2^6 + 8411*T1^5*T2^6 - 2652*T1^6*T2^6 - 5227*T1^7*T2^6 + 
     10431*T1^8*T2^6 - 3802*T1^9*T2^6 - 1186*T1^10*T2^6 + 1155*T1^11*T2^6 + 
     117*T1^12*T2^6 + 82*T1*T2^7 - 641*T1^2*T2^7 - 1395*T1^3*T2^7 + 
     5188*T1^4*T2^7 - 4466*T1^5*T2^7 - 5227*T1^6*T2^7 + 9233*T1^7*T2^7 - 
     7463*T1^8*T2^7 - 2552*T1^9*T2^7 + 4356*T1^10*T2^7 - 1265*T1^11*T2^7 - 
     503*T1^12*T2^7 + 69*T1^2*T2^8 + 1335*T1^3*T2^8 - 1490*T1^4*T2^8 - 
     3272*T1^5*T2^8 + 10431*T1^6*T2^8 - 7463*T1^7*T2^8 + 1047*T1^8*T2^8 + 
     6628*T1^9*T2^8 - 3896*T1^10*T2^8 - 303*T1^11*T2^8 + 1041*T1^12*T2^8 - 
     378*T1^3*T2^9 - 771*T1^4*T2^9 + 3519*T1^5*T2^9 - 3802*T1^6*T2^9 - 
     2552*T1^7*T2^9 + 6628*T1^8*T2^9 - 7150*T1^9*T2^9 + 1116*T1^10*T2^9 + 
     2037*T1^11*T2^9 - 1269*T1^12*T2^9 + 555*T1^4*T2^10 - 719*T1^5*T2^10 - 
     1186*T1^6*T2^10 + 4356*T1^7*T2^10 - 3896*T1^8*T2^10 + 1116*T1^9*T2^10 + 
     2702*T1^10*T2^10 - 2825*T1^11*T2^10 + 1041*T1^12*T2^10 - 
     386*T1^5*T2^11 + 1155*T1^6*T2^11 - 1265*T1^7*T2^11 - 303*T1^8*T2^11 + 
     2037*T1^9*T2^11 - 2825*T1^10*T2^11 + 1779*T1^11*T2^11 - 
     503*T1^12*T2^11 + 117*T1^6*T2^12 - 503*T1^7*T2^12 + 1041*T1^8*T2^12 - 
     1269*T1^9*T2^12 + 1041*T1^10*T2^12 - 503*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 739] -> 
  {-(((1 - T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-57 + 255*T1 - 534*T1^2 + 782*T1^3 - 863*T1^4 + 782*T1^5 - 534*T1^6 + 
      255*T1^7 - 57*T1^8 + 255*T2 - 924*T1*T2 + 1419*T1^2*T2 - 1464*T1^3*T2 + 
      873*T1^4*T2 - 189*T1^5*T2 - 618*T1^6*T2 + 915*T1^7*T2 - 726*T1^8*T2 + 
      219*T1^9*T2 - 534*T2^2 + 1419*T1*T2^2 - 1026*T1^2*T2^2 - 
      155*T1^3*T2^2 + 1858*T1^4*T2^2 - 2410*T1^5*T2^2 + 2770*T1^6*T2^2 - 
      1599*T1^7*T2^2 + 266*T1^8*T2^2 + 735*T1^9*T2^2 - 382*T1^10*T2^2 + 
      782*T2^3 - 1464*T1*T2^3 - 155*T1^2*T2^3 + 1479*T1^3*T2^3 - 
      2552*T1^4*T2^3 + 1253*T1^5*T2^3 - 940*T1^6*T2^3 - 1235*T1^7*T2^3 + 
      1731*T1^8*T2^3 - 1466*T1^9*T2^3 - 294*T1^10*T2^3 + 446*T1^11*T2^3 - 
      863*T2^4 + 873*T1*T2^4 + 1858*T1^2*T2^4 - 2552*T1^3*T2^4 + 
      3146*T1^4*T2^4 - 1213*T1^5*T2^4 + 2078*T1^6*T2^4 + 123*T1^7*T2^4 + 
      762*T1^8*T2^4 - 928*T1^9*T2^4 + 2034*T1^10*T2^4 - 351*T1^11*T2^4 - 
      367*T1^12*T2^4 + 782*T2^5 - 189*T1*T2^5 - 2410*T1^2*T2^5 + 
      1253*T1^3*T2^5 - 1213*T1^4*T2^5 - 815*T1^5*T2^5 - 1279*T1^6*T2^5 - 
      1168*T1^7*T2^5 - 891*T1^8*T2^5 + 321*T1^9*T2^5 - 958*T1^10*T2^5 - 
      1261*T1^11*T2^5 + 657*T1^12*T2^5 + 222*T1^13*T2^5 - 534*T2^6 - 
      618*T1*T2^6 + 2770*T1^2*T2^6 - 940*T1^3*T2^6 + 2078*T1^4*T2^6 - 
      1279*T1^5*T2^6 + 4031*T1^6*T2^6 - 781*T1^7*T2^6 + 2891*T1^8*T2^6 - 
      813*T1^9*T2^6 + 948*T1^10*T2^6 + 1226*T1^11*T2^6 + 386*T1^12*T2^6 - 
      654*T1^13*T2^6 - 78*T1^14*T2^6 + 255*T2^7 + 915*T1*T2^7 - 
      1599*T1^2*T2^7 - 1235*T1^3*T2^7 + 123*T1^4*T2^7 - 1168*T1^5*T2^7 - 
      781*T1^6*T2^7 - 2253*T1^7*T2^7 - 1007*T1^8*T2^7 - 569*T1^9*T2^7 - 
      569*T1^10*T2^7 - 619*T1^11*T2^7 - 1324*T1^12*T2^7 + 510*T1^13*T2^7 + 
      339*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 726*T1*T2^8 + 266*T1^2*T2^8 + 
      1731*T1^3*T2^8 + 762*T1^4*T2^8 - 891*T1^5*T2^8 + 2891*T1^6*T2^8 - 
      1007*T1^7*T2^8 + 4044*T1^8*T2^8 - 1653*T1^9*T2^8 + 1975*T1^10*T2^8 - 
      497*T1^11*T2^8 + 1470*T1^12*T2^8 + 209*T1^13*T2^8 - 612*T1^14*T2^8 - 
      42*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 735*T1^2*T2^9 - 
      1466*T1^3*T2^9 - 928*T1^4*T2^9 + 321*T1^5*T2^9 - 813*T1^6*T2^9 - 
      569*T1^7*T2^9 - 1653*T1^8*T2^9 - 407*T1^9*T2^9 - 357*T1^10*T2^9 - 
      214*T1^11*T2^9 - 421*T1^12*T2^9 - 1017*T1^13*T2^9 + 643*T1^14*T2^9 + 
      159*T1^15*T2^9 - 33*T1^16*T2^9 - 382*T1^2*T2^10 - 294*T1^3*T2^10 + 
      2034*T1^4*T2^10 - 958*T1^5*T2^10 + 948*T1^6*T2^10 - 569*T1^7*T2^10 + 
      1975*T1^8*T2^10 - 357*T1^9*T2^10 + 835*T1^10*T2^10 - 103*T1^11*T2^10 - 
      182*T1^12*T2^10 + 1208*T1^13*T2^10 - 350*T1^14*T2^10 - 
      330*T1^15*T2^10 + 74*T1^16*T2^10 + 446*T1^3*T2^11 - 351*T1^4*T2^11 - 
      1261*T1^5*T2^11 + 1226*T1^6*T2^11 - 619*T1^7*T2^11 - 497*T1^8*T2^11 - 
      214*T1^9*T2^11 - 103*T1^10*T2^11 - 573*T1^11*T2^11 + 915*T1^12*T2^11 - 
      985*T1^13*T2^11 - 112*T1^14*T2^11 + 495*T1^15*T2^11 - 114*T1^16*T2^11 - 
      367*T1^4*T2^12 + 657*T1^5*T2^12 + 386*T1^6*T2^12 - 1324*T1^7*T2^12 + 
      1470*T1^8*T2^12 - 421*T1^9*T2^12 - 182*T1^10*T2^12 + 915*T1^11*T2^12 - 
      914*T1^12*T2^12 + 300*T1^13*T2^12 + 562*T1^14*T2^12 - 567*T1^15*T2^12 + 
      129*T1^16*T2^12 + 222*T1^5*T2^13 - 654*T1^6*T2^13 + 510*T1^7*T2^13 + 
      209*T1^8*T2^13 - 1017*T1^9*T2^13 + 1208*T1^10*T2^13 - 985*T1^11*T2^13 + 
      300*T1^12*T2^13 + 461*T1^13*T2^13 - 801*T1^14*T2^13 + 516*T1^15*T2^13 - 
      114*T1^16*T2^13 - 78*T1^6*T2^14 + 339*T1^7*T2^14 - 612*T1^8*T2^14 + 
      643*T1^9*T2^14 - 350*T1^10*T2^14 - 112*T1^11*T2^14 + 562*T1^12*T2^14 - 
      801*T1^13*T2^14 + 680*T1^14*T2^14 - 345*T1^15*T2^14 + 74*T1^16*T2^14 + 
      3*T1^7*T2^15 - 42*T1^8*T2^15 + 159*T1^9*T2^15 - 330*T1^10*T2^15 + 
      495*T1^11*T2^15 - 567*T1^12*T2^15 + 516*T1^13*T2^15 - 345*T1^14*T2^15 + 
      156*T1^15*T2^15 - 33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 
      74*T1^10*T2^16 - 114*T1^11*T2^16 + 129*T1^12*T2^16 - 114*T1^13*T2^16 + 
      74*T1^14*T2^16 - 33*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 740] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-144 + 620*T1 - 1184*T1^2 + 1466*T1^3 - 1184*T1^4 + 620*T1^5 - 
      144*T1^6 + 620*T2 - 2169*T1*T2 + 2943*T1^2*T2 - 2193*T1^3*T2 - 
      9*T1^4*T2 + 1461*T1^5*T2 - 1545*T1^6*T2 + 503*T1^7*T2 - 1184*T2^2 + 
      2943*T1*T2^2 - 1157*T1^2*T2^2 - 2669*T1^3*T2^2 + 6419*T1^4*T2^2 - 
      5369*T1^5*T2^2 + 2143*T1^6*T2^2 + 993*T1^7*T2^2 - 734*T1^8*T2^2 + 
      1466*T2^3 - 2193*T1*T2^3 - 2669*T1^2*T2^3 + 6460*T1^3*T2^3 - 
      6994*T1^4*T2^3 + 604*T1^5*T2^3 + 3596*T1^6*T2^3 - 4444*T1^7*T2^3 + 
      459*T1^8*T2^3 + 629*T1^9*T2^3 - 1184*T2^4 - 9*T1*T2^4 + 
      6419*T1^2*T2^4 - 6994*T1^3*T2^4 + 3443*T1^4*T2^4 + 4537*T1^5*T2^4 - 
      4465*T1^6*T2^4 + 1438*T1^7*T2^4 + 3441*T1^8*T2^4 - 1491*T1^9*T2^4 - 
      284*T1^10*T2^4 + 620*T2^5 + 1461*T1*T2^5 - 5369*T1^2*T2^5 + 
      604*T1^3*T2^5 + 4537*T1^4*T2^5 - 8119*T1^5*T2^5 + 1351*T1^6*T2^5 + 
      3362*T1^7*T2^5 - 5326*T1^8*T2^5 + 106*T1^9*T2^5 + 1071*T1^10*T2^5 + 
      35*T1^11*T2^5 - 144*T2^6 - 1545*T1*T2^6 + 2143*T1^2*T2^6 + 
      3596*T1^3*T2^6 - 4465*T1^4*T2^6 + 1351*T1^5*T2^6 + 6816*T1^6*T2^6 - 
      6979*T1^7*T2^6 + 3429*T1^8*T2^6 + 2572*T1^9*T2^6 - 1545*T1^10*T2^6 - 
      219*T1^11*T2^6 + 18*T1^12*T2^6 + 503*T1*T2^7 + 993*T1^2*T2^7 - 
      4444*T1^3*T2^7 + 1438*T1^4*T2^7 + 3362*T1^5*T2^7 - 6979*T1^6*T2^7 + 
      2491*T1^7*T2^7 + 2187*T1^8*T2^7 - 4492*T1^9*T2^7 + 1031*T1^10*T2^7 + 
      603*T1^11*T2^7 - 82*T1^12*T2^7 - 734*T1^2*T2^8 + 459*T1^3*T2^8 + 
      3441*T1^4*T2^8 - 5326*T1^5*T2^8 + 3429*T1^6*T2^8 + 2187*T1^7*T2^8 - 
      4479*T1^8*T2^8 + 3106*T1^9*T2^8 + 463*T1^10*T2^8 - 1023*T1^11*T2^8 + 
      166*T1^12*T2^8 + 629*T1^3*T2^9 - 1491*T1^4*T2^9 + 106*T1^5*T2^9 + 
      2572*T1^6*T2^9 - 4492*T1^7*T2^9 + 3106*T1^8*T2^9 - 292*T1^9*T2^9 - 
      1669*T1^10*T2^9 + 1161*T1^11*T2^9 - 208*T1^12*T2^9 - 284*T1^4*T2^10 + 
      1071*T1^5*T2^10 - 1545*T1^6*T2^10 + 1031*T1^7*T2^10 + 463*T1^8*T2^10 - 
      1669*T1^9*T2^10 + 1755*T1^10*T2^10 - 879*T1^11*T2^10 + 
      166*T1^12*T2^10 + 35*T1^5*T2^11 - 219*T1^6*T2^11 + 603*T1^7*T2^11 - 
      1023*T1^8*T2^11 + 1161*T1^9*T2^11 - 879*T1^10*T2^11 + 405*T1^11*T2^11 - 
      82*T1^12*T2^11 + 18*T1^6*T2^12 - 82*T1^7*T2^12 + 166*T1^8*T2^12 - 
      208*T1^9*T2^12 + 166*T1^10*T2^12 - 82*T1^11*T2^12 + 18*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 741] -> 
  {-(((1 - T + T^2)*(5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4))/T^3), 
   -((-645 + 3195*T1 - 6855*T1^2 + 8747*T1^3 - 6855*T1^4 + 3195*T1^5 - 
      645*T1^6 + 3195*T2 - 13275*T1*T2 + 21305*T1^2*T2 - 16148*T1^3*T2 - 
      773*T1^4*T2 + 11430*T1^5*T2 - 9525*T1^6*T2 + 2570*T1^7*T2 - 6855*T2^2 + 
      21305*T1*T2^2 - 14174*T1^2*T2^2 - 21761*T1^3*T2^2 + 56022*T1^4*T2^2 - 
      45521*T1^5*T2^2 + 12286*T1^6*T2^2 + 7805*T1^7*T2^2 - 4155*T1^8*T2^2 + 
      8747*T2^3 - 16148*T1*T2^3 - 21761*T1^2*T2^3 + 74635*T1^3*T2^3 - 
      78006*T1^4*T2^3 + 6279*T1^5*T2^3 + 44575*T1^6*T2^3 - 37151*T1^7*T2^3 + 
      2977*T1^8*T2^3 + 3572*T1^9*T2^3 - 6855*T2^4 - 773*T1*T2^4 + 
      56022*T1^2*T2^4 - 78006*T1^3*T2^4 + 15220*T1^4*T2^4 + 86272*T1^5*T2^4 - 
      83660*T1^6*T2^4 + 16524*T1^7*T2^4 + 28092*T1^8*T2^4 - 10523*T1^9*T2^4 - 
      1455*T1^10*T2^4 + 3195*T2^5 + 11430*T1*T2^5 - 45521*T1^2*T2^5 + 
      6279*T1^3*T2^5 + 86272*T1^4*T2^5 - 127431*T1^5*T2^5 + 29667*T1^6*T2^5 + 
      57868*T1^7*T2^5 - 57516*T1^8*T2^5 + 3349*T1^9*T2^5 + 6805*T1^10*T2^5 + 
      70*T1^11*T2^5 - 645*T2^6 - 9525*T1*T2^6 + 12286*T1^2*T2^6 + 
      44575*T1^3*T2^6 - 83660*T1^4*T2^6 + 29667*T1^5*T2^6 + 90960*T1^6*T2^6 - 
      108191*T1^7*T2^6 + 37708*T1^8*T2^6 + 23425*T1^9*T2^6 - 
      12954*T1^10*T2^6 - 775*T1^11*T2^6 + 105*T1^12*T2^6 + 2570*T1*T2^7 + 
      7805*T1^2*T2^7 - 37151*T1^3*T2^7 + 16524*T1^4*T2^7 + 57868*T1^5*T2^7 - 
      108191*T1^6*T2^7 + 48907*T1^7*T2^7 + 29464*T1^8*T2^7 - 
      47271*T1^9*T2^7 + 11719*T1^10*T2^7 + 3180*T1^11*T2^7 - 555*T1^12*T2^7 - 
      4155*T1^2*T2^8 + 2977*T1^3*T2^8 + 28092*T1^4*T2^8 - 57516*T1^5*T2^8 + 
      37708*T1^6*T2^8 + 29464*T1^7*T2^8 - 61172*T1^8*T2^8 + 37014*T1^9*T2^8 + 
      162*T1^10*T2^8 - 6773*T1^11*T2^8 + 1245*T1^12*T2^8 + 3572*T1^3*T2^9 - 
      10523*T1^4*T2^9 + 3349*T1^5*T2^9 + 23425*T1^6*T2^9 - 47271*T1^7*T2^9 + 
      37014*T1^8*T2^9 - 6635*T1^9*T2^9 - 12041*T1^10*T2^9 + 8602*T1^11*T2^9 - 
      1603*T1^12*T2^9 - 1455*T1^4*T2^10 + 6805*T1^5*T2^10 - 
      12954*T1^6*T2^10 + 11719*T1^7*T2^10 + 162*T1^8*T2^10 - 
      12041*T1^9*T2^10 + 13506*T1^10*T2^10 - 6695*T1^11*T2^10 + 
      1245*T1^12*T2^10 + 70*T1^5*T2^11 - 775*T1^6*T2^11 + 3180*T1^7*T2^11 - 
      6773*T1^8*T2^11 + 8602*T1^9*T2^11 - 6695*T1^10*T2^11 + 
      2975*T1^11*T2^11 - 555*T1^12*T2^11 + 105*T1^6*T2^12 - 555*T1^7*T2^12 + 
      1245*T1^8*T2^12 - 1603*T1^9*T2^12 + 1245*T1^10*T2^12 - 
      555*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 742] -> 
  {-(((1 - T + T^2)^2*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-25 + 74*T1 - 111*T1^2 + 137*T1^3 - 111*T1^4 + 74*T1^5 - 25*T1^6 + 
       74*T2 - 178*T1*T2 + 206*T1^2*T2 - 220*T1^3*T2 + 100*T1^4*T2 - 
       34*T1^5*T2 - 50*T1^6*T2 + 42*T1^7*T2 - 111*T2^2 + 206*T1*T2^2 - 
       147*T1^2*T2^2 + 115*T1^3*T2^2 + 111*T1^4*T2^2 - 145*T1^5*T2^2 + 
       217*T1^6*T2^2 - 106*T1^7*T2^2 - 7*T1^8*T2^2 + 137*T2^3 - 220*T1*T2^3 + 
       115*T1^2*T2^3 - 92*T1^3*T2^3 - 197*T1^4*T2^3 + 163*T1^5*T2^3 - 
       208*T1^6*T2^3 - 5*T1^7*T2^3 + 140*T1^8*T2^3 - 39*T1^9*T2^3 - 
       111*T2^4 + 100*T1*T2^4 + 111*T1^2*T2^4 - 197*T1^3*T2^4 + 
       515*T1^4*T2^4 - 347*T1^5*T2^4 + 279*T1^6*T2^4 + 23*T1^7*T2^4 - 
       117*T1^8*T2^4 - 100*T1^9*T2^4 + 73*T1^10*T2^4 + 74*T2^5 - 34*T1*T2^5 - 
       145*T1^2*T2^5 + 163*T1^3*T2^5 - 347*T1^4*T2^5 + 130*T1^5*T2^5 - 
       90*T1^6*T2^5 - 65*T1^7*T2^5 + 87*T1^8*T2^5 + 139*T1^9*T2^5 + 
       38*T1^10*T2^5 - 86*T1^11*T2^5 - 25*T2^6 - 50*T1*T2^6 + 217*T1^2*T2^6 - 
       208*T1^3*T2^6 + 279*T1^4*T2^6 - 90*T1^5*T2^6 - 48*T1^6*T2^6 + 
       162*T1^7*T2^6 - 285*T1^8*T2^6 + 88*T1^9*T2^6 - 287*T1^10*T2^6 + 
       142*T1^11*T2^6 + 39*T1^12*T2^6 + 42*T1*T2^7 - 106*T1^2*T2^7 - 
       5*T1^3*T2^7 + 23*T1^4*T2^7 - 65*T1^5*T2^7 + 162*T1^6*T2^7 - 
       58*T1^7*T2^7 + 217*T1^8*T2^7 - 53*T1^9*T2^7 + 279*T1^10*T2^7 - 
       34*T1^11*T2^7 - 118*T1^12*T2^7 - 7*T1^2*T2^8 + 140*T1^3*T2^8 - 
       117*T1^4*T2^8 + 87*T1^5*T2^8 - 285*T1^6*T2^8 + 217*T1^7*T2^8 - 
       521*T1^8*T2^8 + 307*T1^9*T2^8 - 345*T1^10*T2^8 - 60*T1^11*T2^8 + 
       177*T1^12*T2^8 - 39*T1^3*T2^9 - 100*T1^4*T2^9 + 139*T1^5*T2^9 + 
       88*T1^6*T2^9 - 53*T1^7*T2^9 + 307*T1^8*T2^9 - 28*T1^9*T2^9 + 
       19*T1^10*T2^9 + 260*T1^11*T2^9 - 215*T1^12*T2^9 + 73*T1^4*T2^10 + 
       38*T1^5*T2^10 - 287*T1^6*T2^10 + 279*T1^7*T2^10 - 345*T1^8*T2^10 + 
       19*T1^9*T2^10 + 77*T1^10*T2^10 - 274*T1^11*T2^10 + 177*T1^12*T2^10 - 
       86*T1^5*T2^11 + 142*T1^6*T2^11 - 34*T1^7*T2^11 - 60*T1^8*T2^11 + 
       260*T1^9*T2^11 - 274*T1^10*T2^11 + 270*T1^11*T2^11 - 118*T1^12*T2^11 + 
       39*T1^6*T2^12 - 118*T1^7*T2^12 + 177*T1^8*T2^12 - 215*T1^9*T2^12 + 
       177*T1^10*T2^12 - 118*T1^11*T2^12 + 39*T1^12*T2^12))/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 743] -> 
  {-((6 - 20*T + 27*T^2 - 20*T^3 + 6*T^4)/T^2), 
   -((-603 + 1967*T1 - 2631*T1^2 + 1967*T1^3 - 603*T1^4 + 1967*T2 - 
      5188*T1*T2 + 4592*T1^2*T2 - 1048*T1^3*T2 - 2068*T1^4*T2 + 
      1247*T1^5*T2 - 2631*T2^2 + 4592*T1*T2^2 + 872*T1^2*T2^2 - 
      6876*T1^3*T2^2 + 7676*T1^4*T2^2 - 1888*T1^5*T2^2 - 687*T1^6*T2^2 + 
      1967*T2^3 - 1048*T1*T2^3 - 6876*T1^2*T2^3 + 10330*T1^3*T2^3 - 
      5690*T1^4*T2^3 - 2556*T1^5*T2^3 + 2912*T1^6*T2^3 - 193*T1^7*T2^3 - 
      603*T2^4 - 2068*T1*T2^4 + 7676*T1^2*T2^4 - 5690*T1^3*T2^4 - 
      2676*T1^4*T2^4 + 8230*T1^5*T2^4 - 4436*T1^6*T2^4 - 148*T1^7*T2^4 + 
      261*T1^8*T2^4 + 1247*T1*T2^5 - 1888*T1^2*T2^5 - 2556*T1^3*T2^5 + 
      8230*T1^4*T2^5 - 7790*T1^5*T2^5 + 1764*T1^6*T2^5 + 2072*T1^7*T2^5 - 
      913*T1^8*T2^5 - 687*T1^2*T2^6 + 2912*T1^3*T2^6 - 4436*T1^4*T2^6 + 
      1764*T1^5*T2^6 + 2368*T1^6*T2^6 - 3568*T1^7*T2^6 + 1257*T1^8*T2^6 - 
      193*T1^3*T2^7 - 148*T1^4*T2^7 + 2072*T1^5*T2^7 - 3568*T1^6*T2^7 + 
      2972*T1^7*T2^7 - 913*T1^8*T2^7 + 261*T1^4*T2^8 - 913*T1^5*T2^8 + 
      1257*T1^6*T2^8 - 913*T1^7*T2^8 + 261*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 744] -> 
  {(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4)/T^2, 
   (-92 + 350*T1 - 534*T1^2 + 350*T1^3 - 92*T1^4 + 350*T2 - 1220*T1*T2 + 
     1600*T1^2*T2 - 680*T1^3*T2 - 80*T1^4*T2 + 110*T1^5*T2 - 534*T2^2 + 
     1600*T1*T2^2 - 1186*T1^2*T2^2 - 1282*T1^3*T2^2 + 2310*T1^4*T2^2 - 
     1160*T1^5*T2^2 + 202*T1^6*T2^2 + 350*T2^3 - 680*T1*T2^3 - 
     1282*T1^2*T2^3 + 4775*T1^3*T2^3 - 4915*T1^4*T2^3 + 1133*T1^5*T2^3 + 
     640*T1^6*T2^3 - 370*T1^7*T2^3 - 92*T2^4 - 80*T1*T2^4 + 2310*T1^2*T2^4 - 
     4915*T1^3*T2^4 + 3108*T1^4*T2^4 + 2675*T1^5*T2^4 - 2968*T1^6*T2^4 + 
     760*T1^7*T2^4 + 164*T1^8*T2^4 + 110*T1*T2^5 - 1160*T1^2*T2^5 + 
     1133*T1^3*T2^5 + 2675*T1^4*T2^5 - 7015*T1^5*T2^5 + 3548*T1^6*T2^5 + 
     160*T1^7*T2^5 - 610*T1^8*T2^5 + 202*T1^2*T2^6 + 640*T1^3*T2^6 - 
     2968*T1^4*T2^6 + 3548*T1^5*T2^6 + 528*T1^6*T2^6 - 2120*T1^7*T2^6 + 
     938*T1^8*T2^6 - 370*T1^3*T2^7 + 760*T1^4*T2^7 + 160*T1^5*T2^7 - 
     2120*T1^6*T2^7 + 1900*T1^7*T2^7 - 610*T1^8*T2^7 + 164*T1^4*T2^8 - 
     610*T1^5*T2^8 + 938*T1^6*T2^8 - 610*T1^7*T2^8 + 164*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 745] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   -((-228 + 850*T1 - 1182*T1^2 + 850*T1^3 - 228*T1^4 + 850*T2 - 2560*T1*T2 + 
      2140*T1^2*T2 - 20*T1^3*T2 - 1420*T1^4*T2 + 610*T1^5*T2 - 1182*T2^2 + 
      2140*T1*T2^2 + 1803*T1^2*T2^2 - 5465*T1^3*T2^2 + 4659*T1^4*T2^2 - 
      380*T1^5*T2^2 - 510*T1^6*T2^2 + 850*T2^3 - 20*T1*T2^3 - 
      5465*T1^2*T2^3 + 6347*T1^3*T2^3 - 1573*T1^4*T2^3 - 3260*T1^5*T2^3 + 
      1420*T1^6*T2^3 + 130*T1^7*T2^3 - 228*T2^4 - 1420*T1*T2^4 + 
      4659*T1^2*T2^4 - 1573*T1^3*T2^4 - 3828*T1^4*T2^4 + 5117*T1^5*T2^4 - 
      747*T1^6*T2^4 - 580*T1^7*T2^4 + 28*T1^8*T2^4 + 610*T1*T2^5 - 
      380*T1^2*T2^5 - 3260*T1^3*T2^5 + 5117*T1^4*T2^5 - 2803*T1^5*T2^5 - 
      1055*T1^6*T2^5 + 1060*T1^7*T2^5 - 110*T1^8*T2^5 - 510*T1^2*T2^6 + 
      1420*T1^3*T2^6 - 747*T1^4*T2^6 - 1055*T1^5*T2^6 + 2109*T1^6*T2^6 - 
      1100*T1^7*T2^6 + 162*T1^8*T2^6 + 130*T1^3*T2^7 - 580*T1^4*T2^7 + 
      1060*T1^5*T2^7 - 1100*T1^6*T2^7 + 560*T1^7*T2^7 - 110*T1^8*T2^7 + 
      28*T1^4*T2^8 - 110*T1^5*T2^8 + 162*T1^6*T2^8 - 110*T1^7*T2^8 + 
      28*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 746] -> 
  {(2 - 10*T + 26*T^2 - 44*T^3 + 53*T^4 - 44*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-33 + 164*T1 - 425*T1^2 + 719*T1^3 - 867*T1^4 + 719*T1^5 - 
     425*T1^6 + 164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1500*T1^2*T2 - 
     1984*T1^3*T2 + 1616*T1^4*T2 - 324*T1^5*T2 - 584*T1^6*T2 + 780*T1^7*T2 - 
     452*T1^8*T2 + 124*T1^9*T2 - 425*T2^2 + 1500*T1*T2^2 - 2655*T1^2*T2^2 + 
     2473*T1^3*T2^2 - 659*T1^4*T2^2 - 2055*T1^5*T2^2 + 2149*T1^6*T2^2 - 
     1063*T1^7*T2^2 - 159*T1^8*T2^2 + 460*T1^9*T2^2 - 217*T1^10*T2^2 + 
     719*T2^3 - 1984*T1*T2^3 + 2473*T1^2*T2^3 - 430*T1^3*T2^3 - 
     2751*T1^4*T2^3 + 5186*T1^5*T2^3 - 1554*T1^6*T2^3 - 1183*T1^7*T2^3 + 
     2354*T1^8*T2^3 - 1271*T1^9*T2^3 + 136*T1^10*T2^3 + 191*T1^11*T2^3 - 
     867*T2^4 + 1616*T1*T2^4 - 659*T1^2*T2^4 - 2751*T1^3*T2^4 + 
     4629*T1^4*T2^4 - 3559*T1^5*T2^4 - 4895*T1^6*T2^4 + 5785*T1^7*T2^4 - 
     3667*T1^8*T2^4 - 287*T1^9*T2^4 + 1565*T1^10*T2^4 - 864*T1^11*T2^4 - 
     19*T1^12*T2^4 + 719*T2^5 - 324*T1*T2^5 - 2055*T1^2*T2^5 + 
     5186*T1^3*T2^5 - 3559*T1^4*T2^5 - 1320*T1^5*T2^5 + 10742*T1^6*T2^5 - 
     4766*T1^7*T2^5 - 1170*T1^8*T2^5 + 5077*T1^9*T2^5 - 3066*T1^10*T2^5 + 
     117*T1^11*T2^5 + 896*T1^12*T2^5 - 161*T1^13*T2^5 - 425*T2^6 - 
     584*T1*T2^6 + 2149*T1^2*T2^6 - 1554*T1^3*T2^6 - 4895*T1^4*T2^6 + 
     10742*T1^5*T2^6 - 14116*T1^6*T2^6 - 1352*T1^7*T2^6 + 7944*T1^8*T2^6 - 
     6930*T1^9*T2^6 + 345*T1^10*T2^6 + 2918*T1^11*T2^6 - 1827*T1^12*T2^6 - 
     184*T1^13*T2^6 + 199*T1^14*T2^6 + 164*T2^7 + 780*T1*T2^7 - 
     1063*T1^2*T2^7 - 1183*T1^3*T2^7 + 5785*T1^4*T2^7 - 4766*T1^5*T2^7 - 
     1352*T1^6*T2^7 + 17452*T1^7*T2^7 - 13632*T1^8*T2^7 + 1832*T1^9*T2^7 + 
     6414*T1^10*T2^7 - 5683*T1^11*T2^7 + 833*T1^12*T2^7 + 1433*T1^13*T2^7 - 
     420*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 - 
     159*T1^2*T2^8 + 2354*T1^3*T2^8 - 3667*T1^4*T2^8 - 1170*T1^5*T2^8 + 
     7944*T1^6*T2^8 - 13632*T1^7*T2^8 - 120*T1^8*T2^8 + 13056*T1^9*T2^8 - 
     11368*T1^10*T2^8 + 3174*T1^11*T2^8 + 3213*T1^12*T2^8 - 2750*T1^13*T2^8 + 
     81*T1^14*T2^8 + 428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 
     460*T1^2*T2^9 - 1271*T1^3*T2^9 - 287*T1^4*T2^9 + 5077*T1^5*T2^9 - 
     6930*T1^6*T2^9 + 1832*T1^7*T2^9 + 13056*T1^8*T2^9 - 18028*T1^9*T2^9 + 
     5016*T1^10*T2^9 + 4250*T1^11*T2^9 - 6391*T1^12*T2^9 + 1729*T1^13*T2^9 + 
     1225*T1^14*T2^9 - 740*T1^15*T2^9 - 156*T1^16*T2^9 - 217*T1^2*T2^10 + 
     136*T1^3*T2^10 + 1565*T1^4*T2^10 - 3066*T1^5*T2^10 + 345*T1^6*T2^10 + 
     6414*T1^7*T2^10 - 11368*T1^8*T2^10 + 5016*T1^9*T2^10 + 
     10692*T1^10*T2^10 - 11258*T1^11*T2^10 + 5585*T1^12*T2^10 + 
     1406*T1^13*T2^10 - 2411*T1^14*T2^10 + 536*T1^15*T2^10 + 
     407*T1^16*T2^10 + 191*T1^3*T2^11 - 864*T1^4*T2^11 + 117*T1^5*T2^11 + 
     2918*T1^6*T2^11 - 5683*T1^7*T2^11 + 3174*T1^8*T2^11 + 4250*T1^9*T2^11 - 
     11258*T1^10*T2^11 + 3324*T1^11*T2^11 + 2953*T1^12*T2^11 - 
     5334*T1^13*T2^11 + 2289*T1^14*T2^11 + 356*T1^15*T2^11 - 
     689*T1^16*T2^11 - 19*T1^4*T2^12 + 896*T1^5*T2^12 - 1827*T1^6*T2^12 + 
     833*T1^7*T2^12 + 3213*T1^8*T2^12 - 6391*T1^9*T2^12 + 5585*T1^10*T2^12 + 
     2953*T1^11*T2^12 - 5083*T1^12*T2^12 + 3297*T1^13*T2^12 + 
     397*T1^14*T2^12 - 1584*T1^15*T2^12 + 829*T1^16*T2^12 - 161*T1^5*T2^13 - 
     184*T1^6*T2^13 + 1433*T1^7*T2^13 - 2750*T1^8*T2^13 + 1729*T1^9*T2^13 + 
     1406*T1^10*T2^13 - 5334*T1^11*T2^13 + 3297*T1^12*T2^13 + 
     34*T1^13*T2^13 - 2311*T1^14*T2^13 + 1936*T1^15*T2^13 - 689*T1^16*T2^13 + 
     199*T1^6*T2^14 - 420*T1^7*T2^14 + 81*T1^8*T2^14 + 1225*T1^9*T2^14 - 
     2411*T1^10*T2^14 + 2289*T1^11*T2^14 + 397*T1^12*T2^14 - 
     2311*T1^13*T2^14 + 2577*T1^14*T2^14 - 1460*T1^15*T2^14 + 
     407*T1^16*T2^14 - 116*T1^7*T2^15 + 428*T1^8*T2^15 - 740*T1^9*T2^15 + 
     536*T1^10*T2^15 + 356*T1^11*T2^15 - 1584*T1^12*T2^15 + 
     1936*T1^13*T2^15 - 1460*T1^14*T2^15 + 668*T1^15*T2^15 - 
     156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 407*T1^10*T2^16 - 
     689*T1^11*T2^16 + 829*T1^12*T2^16 - 689*T1^13*T2^16 + 407*T1^14*T2^16 - 
     156*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 747] -> 
  {-((1 - 8*T + 25*T^2 - 45*T^3 + 53*T^4 - 45*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 75*T1^2 + 135*T1^3 - 159*T1^4 + 135*T1^5 - 
      75*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 473*T1^2*T2 - 
      682*T1^3*T2 + 553*T1^4*T2 - 231*T1^5*T2 - 122*T1^6*T2 + 209*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 75*T2^2 + 473*T1*T2^2 - 875*T1^2*T2^2 + 
      350*T1^3*T2^2 + 1225*T1^4*T2^2 - 2363*T1^5*T2^2 + 2625*T1^6*T2^2 - 
      1500*T1^7*T2^2 + 325*T1^8*T2^2 + 73*T1^9*T2^2 - 25*T1^10*T2^2 + 
      135*T2^3 - 682*T1*T2^3 + 350*T1^2*T2^3 + 2421*T1^3*T2^3 - 
      5960*T1^4*T2^3 + 6147*T1^5*T2^3 - 4003*T1^6*T2^3 - 195*T1^7*T2^3 + 
      2031*T1^8*T2^3 - 1225*T1^9*T2^3 + 198*T1^10*T2^3 - 159*T2^4 + 
      553*T1*T2^4 + 1225*T1^2*T2^4 - 5960*T1^3*T2^4 + 8472*T1^4*T2^4 - 
      3444*T1^5*T2^4 - 2902*T1^6*T2^4 + 8872*T1^7*T2^4 - 7144*T1^8*T2^4 + 
      1780*T1^9*T2^4 + 765*T1^10*T2^4 - 423*T1^11*T2^4 + 53*T1^12*T2^4 + 
      135*T2^5 - 231*T1*T2^5 - 2363*T1^2*T2^5 + 6147*T1^3*T2^5 - 
      3444*T1^4*T2^5 - 7752*T1^5*T2^5 + 14073*T1^6*T2^5 - 14562*T1^7*T2^5 + 
      3756*T1^8*T2^5 + 6018*T1^9*T2^5 - 5403*T1^10*T2^5 + 1063*T1^11*T2^5 + 
      297*T1^12*T2^5 - 90*T1^13*T2^5 - 75*T2^6 - 122*T1*T2^6 + 
      2625*T1^2*T2^6 - 4003*T1^3*T2^6 - 2902*T1^4*T2^6 + 14073*T1^5*T2^6 - 
      12792*T1^6*T2^6 + 3424*T1^7*T2^6 + 11728*T1^8*T2^6 - 15847*T1^9*T2^6 + 
      3848*T1^10*T2^6 + 4047*T1^11*T2^6 - 2495*T1^12*T2^6 + 118*T1^13*T2^6 + 
      75*T1^14*T2^6 + 24*T2^7 + 209*T1*T2^7 - 1500*T1^2*T2^7 - 
      195*T1^3*T2^7 + 8872*T1^4*T2^7 - 14562*T1^5*T2^7 + 3424*T1^6*T2^7 + 
      11406*T1^7*T2^7 - 18570*T1^8*T2^7 + 9099*T1^9*T2^7 + 11503*T1^10*T2^7 - 
      12006*T1^11*T2^7 + 1940*T1^12*T2^7 + 1725*T1^13*T2^7 - 343*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 325*T1^2*T2^8 + 2031*T1^3*T2^8 - 
      7144*T1^4*T2^8 + 3756*T1^5*T2^8 + 11728*T1^6*T2^8 - 18570*T1^7*T2^8 + 
      6600*T1^8*T2^8 + 11482*T1^9*T2^8 - 25202*T1^10*T2^8 + 8448*T1^11*T2^8 + 
      6100*T1^12*T2^8 - 4679*T1^13*T2^8 - 47*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 73*T1^2*T2^9 - 1225*T1^3*T2^9 + 
      1780*T1^4*T2^9 + 6018*T1^5*T2^9 - 15847*T1^6*T2^9 + 9099*T1^7*T2^9 + 
      11482*T1^8*T2^9 - 18494*T1^9*T2^9 + 14774*T1^10*T2^9 + 
      10218*T1^11*T2^9 - 14860*T1^12*T2^9 + 3915*T1^13*T2^9 + 
      2000*T1^14*T2^9 - 479*T1^15*T2^9 - 40*T1^16*T2^9 - 25*T1^2*T2^10 + 
      198*T1^3*T2^10 + 765*T1^4*T2^10 - 5403*T1^5*T2^10 + 3848*T1^6*T2^10 + 
      11503*T1^7*T2^10 - 25202*T1^8*T2^10 + 14774*T1^9*T2^10 - 
      682*T1^10*T2^10 - 18417*T1^11*T2^10 + 10598*T1^12*T2^10 + 
      2647*T1^13*T2^10 - 4355*T1^14*T2^10 + 438*T1^15*T2^10 + 
      125*T1^16*T2^10 - 423*T1^4*T2^11 + 1063*T1^5*T2^11 + 4047*T1^6*T2^11 - 
      12006*T1^7*T2^11 + 8448*T1^8*T2^11 + 10218*T1^9*T2^11 - 
      18417*T1^10*T2^11 + 19956*T1^11*T2^11 - 2544*T1^12*T2^11 - 
      7503*T1^13*T2^11 + 4489*T1^14*T2^11 + 105*T1^15*T2^11 - 
      225*T1^16*T2^11 + 53*T1^4*T2^12 + 297*T1^5*T2^12 - 2495*T1^6*T2^12 + 
      1940*T1^7*T2^12 + 6100*T1^8*T2^12 - 14860*T1^9*T2^12 + 
      10598*T1^10*T2^12 - 2544*T1^11*T2^12 - 9516*T1^12*T2^12 + 
      9680*T1^13*T2^12 - 2955*T1^14*T2^12 - 679*T1^15*T2^12 + 
      265*T1^16*T2^12 - 90*T1^5*T2^13 + 118*T1^6*T2^13 + 1725*T1^7*T2^13 - 
      4679*T1^8*T2^13 + 3915*T1^9*T2^13 + 2647*T1^10*T2^13 - 
      7503*T1^11*T2^13 + 9680*T1^12*T2^13 - 5069*T1^13*T2^13 + 
      150*T1^14*T2^13 + 998*T1^15*T2^13 - 225*T1^16*T2^13 + 75*T1^6*T2^14 - 
      343*T1^7*T2^14 - 47*T1^8*T2^14 + 2000*T1^9*T2^14 - 4355*T1^10*T2^14 + 
      4489*T1^11*T2^14 - 2955*T1^12*T2^14 + 150*T1^13*T2^14 + 
      1153*T1^14*T2^14 - 743*T1^15*T2^14 + 125*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 479*T1^9*T2^15 + 438*T1^10*T2^15 + 105*T1^11*T2^15 - 
      679*T1^12*T2^15 + 998*T1^13*T2^15 - 743*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 125*T1^10*T2^16 - 
      225*T1^11*T2^16 + 265*T1^12*T2^16 - 225*T1^13*T2^16 + 125*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 748] -> 
  {-((4 - 16*T + 30*T^2 - 37*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((-208 + 828*T1 - 1552*T1^2 + 1920*T1^3 - 1552*T1^4 + 828*T1^5 - 
      208*T1^6 + 828*T2 - 2728*T1*T2 + 3912*T1^2*T2 - 3386*T1^3*T2 + 
      902*T1^4*T2 + 968*T1^5*T2 - 1448*T1^6*T2 + 572*T1^7*T2 - 1552*T2^2 + 
      3912*T1*T2^2 - 3174*T1^2*T2^2 - 104*T1^3*T2^2 + 4744*T1^4*T2^2 - 
      5144*T1^5*T2^2 + 3066*T1^6*T2^2 + 72*T1^7*T2^2 - 592*T1^8*T2^2 + 
      1920*T2^3 - 3386*T1*T2^3 - 104*T1^2*T2^3 + 4292*T1^3*T2^3 - 
      7774*T1^4*T2^3 + 3962*T1^5*T2^3 + 416*T1^6*T2^3 - 3824*T1^7*T2^3 + 
      1798*T1^8*T2^3 + 144*T1^9*T2^3 - 1552*T2^4 + 902*T1*T2^4 + 
      4744*T1^2*T2^4 - 7774*T1^3*T2^4 + 8387*T1^4*T2^4 - 721*T1^5*T2^4 - 
      3997*T1^6*T2^4 + 5250*T1^7*T2^4 + 200*T1^8*T2^4 - 2042*T1^9*T2^4 + 
      368*T1^10*T2^4 + 828*T2^5 + 968*T1*T2^5 - 5144*T1^2*T2^5 + 
      3962*T1^3*T2^5 - 721*T1^4*T2^5 - 7276*T1^5*T2^5 + 7254*T1^6*T2^5 - 
      2341*T1^7*T2^5 - 5198*T1^8*T2^5 + 3856*T1^9*T2^5 + 328*T1^10*T2^5 - 
      452*T1^11*T2^5 - 208*T2^6 - 1448*T1*T2^6 + 3066*T1^2*T2^6 + 
      416*T1^3*T2^6 - 3997*T1^4*T2^6 + 7254*T1^5*T2^6 - 1596*T1^6*T2^6 - 
      5458*T1^7*T2^6 + 7795*T1^8*T2^6 - 1216*T1^9*T2^6 - 3238*T1^10*T2^6 + 
      1112*T1^11*T2^6 + 176*T1^12*T2^6 + 572*T1*T2^7 + 72*T1^2*T2^7 - 
      3824*T1^3*T2^7 + 5250*T1^4*T2^7 - 2341*T1^5*T2^7 - 5458*T1^6*T2^7 + 
      9072*T1^7*T2^7 - 3961*T1^8*T2^7 - 3910*T1^9*T2^7 + 5176*T1^10*T2^7 - 
      568*T1^11*T2^7 - 708*T1^12*T2^7 - 592*T1^2*T2^8 + 1798*T1^3*T2^8 + 
      200*T1^4*T2^8 - 5198*T1^5*T2^8 + 7795*T1^6*T2^8 - 3961*T1^7*T2^8 - 
      4589*T1^8*T2^8 + 7826*T1^9*T2^8 - 4344*T1^10*T2^8 - 1146*T1^11*T2^8 + 
      1328*T1^12*T2^8 + 144*T1^3*T2^9 - 2042*T1^4*T2^9 + 3856*T1^5*T2^9 - 
      1216*T1^6*T2^9 - 3910*T1^7*T2^9 + 7826*T1^8*T2^9 - 5092*T1^9*T2^9 + 
      136*T1^10*T2^9 + 3142*T1^11*T2^9 - 1632*T1^12*T2^9 + 368*T1^4*T2^10 + 
      328*T1^5*T2^10 - 3238*T1^6*T2^10 + 5176*T1^7*T2^10 - 4344*T1^8*T2^10 + 
      136*T1^9*T2^10 + 3002*T1^10*T2^10 - 3512*T1^11*T2^10 + 
      1328*T1^12*T2^10 - 452*T1^5*T2^11 + 1112*T1^6*T2^11 - 568*T1^7*T2^11 - 
      1146*T1^8*T2^11 + 3142*T1^9*T2^11 - 3512*T1^10*T2^11 + 
      2392*T1^11*T2^11 - 708*T1^12*T2^11 + 176*T1^6*T2^12 - 708*T1^7*T2^12 + 
      1328*T1^8*T2^12 - 1632*T1^9*T2^12 + 1328*T1^10*T2^12 - 
      708*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 749] -> 
  {(4 - 16*T + 32*T^2 - 39*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (2*(-56 + 226*T1 - 454*T1^2 + 556*T1^3 - 454*T1^4 + 226*T1^5 - 56*T1^6 + 
      226*T2 - 812*T1*T2 + 1428*T1^2*T2 - 1433*T1^3*T2 + 839*T1^4*T2 - 
      108*T1^5*T2 - 172*T1^6*T2 + 98*T1^7*T2 - 454*T2^2 + 1428*T1*T2^2 - 
      1996*T1^2*T2^2 + 1067*T1^3*T2^2 + 666*T1^4*T2^2 - 1877*T1^5*T2^2 + 
      1588*T1^6*T2^2 - 620*T1^7*T2^2 + 58*T1^8*T2^2 + 556*T2^3 - 
      1433*T1*T2^3 + 1067*T1^2*T2^3 + 1300*T1^3*T2^3 - 3528*T1^4*T2^3 + 
      3416*T1^5*T2^3 - 926*T1^6*T2^3 - 1301*T1^7*T2^3 + 1287*T1^8*T2^3 - 
      380*T1^9*T2^3 - 454*T2^4 + 839*T1*T2^4 + 666*T1^2*T2^4 - 
      3528*T1^3*T2^4 + 4352*T1^4*T2^4 - 1234*T1^5*T2^4 - 2832*T1^6*T2^4 + 
      3960*T1^7*T2^4 - 1126*T1^8*T2^4 - 761*T1^9*T2^4 + 570*T1^10*T2^4 + 
      226*T2^5 - 108*T1*T2^5 - 1877*T1^2*T2^5 + 3416*T1^3*T2^5 - 
      1234*T1^4*T2^5 - 4292*T1^5*T2^5 + 6348*T1^6*T2^5 - 3282*T1^7*T2^5 - 
      2440*T1^8*T2^5 + 2795*T1^9*T2^5 - 620*T1^10*T2^5 - 414*T1^11*T2^5 - 
      56*T2^6 - 172*T1*T2^6 + 1588*T1^2*T2^6 - 926*T1^3*T2^6 - 
      2832*T1^4*T2^6 + 6348*T1^5*T2^6 - 2532*T1^6*T2^6 - 3636*T1^7*T2^6 + 
      7408*T1^8*T2^6 - 2798*T1^9*T2^6 - 972*T1^10*T2^6 + 1108*T1^11*T2^6 + 
      136*T1^12*T2^6 + 98*T1*T2^7 - 620*T1^2*T2^7 - 1301*T1^3*T2^7 + 
      3960*T1^4*T2^7 - 3282*T1^5*T2^7 - 3636*T1^6*T2^7 + 7004*T1^7*T2^7 - 
      5330*T1^8*T2^7 - 1896*T1^9*T2^7 + 3371*T1^10*T2^7 - 1132*T1^11*T2^7 - 
      542*T1^12*T2^7 + 58*T1^2*T2^8 + 1287*T1^3*T2^8 - 1126*T1^4*T2^8 - 
      2440*T1^5*T2^8 + 7408*T1^6*T2^8 - 5330*T1^7*T2^8 + 224*T1^8*T2^8 + 
      5048*T1^9*T2^8 - 2918*T1^10*T2^8 - 313*T1^11*T2^8 + 1082*T1^12*T2^8 - 
      380*T1^3*T2^9 - 761*T1^4*T2^9 + 2795*T1^5*T2^9 - 2798*T1^6*T2^9 - 
      1896*T1^7*T2^9 + 5048*T1^8*T2^9 - 5024*T1^9*T2^9 + 427*T1^10*T2^9 + 
      1959*T1^11*T2^9 - 1316*T1^12*T2^9 + 570*T1^4*T2^10 - 620*T1^5*T2^10 - 
      972*T1^6*T2^10 + 3371*T1^7*T2^10 - 2918*T1^8*T2^10 + 427*T1^9*T2^10 + 
      2612*T1^10*T2^10 - 2668*T1^11*T2^10 + 1082*T1^12*T2^10 - 
      414*T1^5*T2^11 + 1108*T1^6*T2^11 - 1132*T1^7*T2^11 - 313*T1^8*T2^11 + 
      1959*T1^9*T2^11 - 2668*T1^10*T2^11 + 1748*T1^11*T2^11 - 
      542*T1^12*T2^11 + 136*T1^6*T2^12 - 542*T1^7*T2^12 + 1082*T1^8*T2^12 - 
      1316*T1^9*T2^12 + 1082*T1^10*T2^12 - 542*T1^11*T2^12 + 
      136*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 750] -> 
  {-(((-2 + T)*(-1 + 2*T)*(4 - 7*T + 4*T^2))/T^2), 
   -((-1728 + 7296*T1 - 10896*T1^2 + 7296*T1^3 - 1728*T1^4 + 7296*T2 - 
      25708*T1*T2 + 24476*T1^2*T2 + 1356*T1^3*T2 - 14284*T1^4*T2 + 
      5120*T1^5*T2 - 10896*T2^2 + 24476*T1*T2^2 + 17545*T1^2*T2^2 - 
      70919*T1^3*T2^2 + 52633*T1^4*T2^2 - 3268*T1^5*T2^2 - 4368*T1^6*T2^2 + 
      7296*T2^3 + 1356*T1*T2^3 - 70919*T1^2*T2^3 + 95364*T1^3*T2^3 - 
      17754*T1^4*T2^3 - 39707*T1^5*T2^3 + 15228*T1^6*T2^3 + 768*T1^7*T2^3 - 
      1728*T2^4 - 14284*T1*T2^4 + 52633*T1^2*T2^4 - 17754*T1^3*T2^4 - 
      66840*T1^4*T2^4 + 72958*T1^5*T2^4 - 12919*T1^6*T2^4 - 4492*T1^7*T2^4 + 
      320*T1^8*T2^4 + 5120*T1*T2^5 - 3268*T1^2*T2^5 - 39707*T1^3*T2^5 + 
      72958*T1^4*T2^5 - 40160*T1^5*T2^5 - 8495*T1^6*T2^5 + 10604*T1^7*T2^5 - 
      1408*T1^8*T2^5 - 4368*T1^2*T2^6 + 15228*T1^3*T2^6 - 12919*T1^4*T2^6 - 
      8495*T1^5*T2^6 + 22169*T1^6*T2^6 - 12516*T1^7*T2^6 + 2160*T1^8*T2^6 + 
      768*T1^3*T2^7 - 4492*T1^4*T2^7 + 10604*T1^5*T2^7 - 12516*T1^6*T2^7 + 
      6932*T1^7*T2^7 - 1408*T1^8*T2^7 + 320*T1^4*T2^8 - 1408*T1^5*T2^8 + 
      2160*T1^6*T2^8 - 1408*T1^7*T2^8 + 320*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 751] -> 
  {-((2 - 14*T + 38*T^2 - 53*T^3 + 38*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-23 + 160*T1 - 434*T1^2 + 605*T1^3 - 434*T1^4 + 160*T1^5 - 23*T1^6 + 
      160*T2 - 1008*T1*T2 + 2299*T1^2*T2 - 2255*T1^3*T2 + 293*T1^4*T2 + 
      843*T1^5*T2 - 560*T1^6*T2 + 104*T1^7*T2 - 434*T2^2 + 2299*T1*T2^2 - 
      3331*T1^2*T2^2 - 1287*T1^3*T2^2 + 8383*T1^4*T2^2 - 7215*T1^5*T2^2 + 
      2141*T1^6*T2^2 + 171*T1^7*T2^2 - 130*T1^8*T2^2 + 605*T2^3 - 
      2255*T1*T2^3 - 1287*T1^2*T2^3 + 14976*T1^3*T2^3 - 23255*T1^4*T2^3 + 
      8621*T1^5*T2^3 + 4802*T1^6*T2^3 - 4859*T1^7*T2^3 + 1133*T1^8*T2^3 - 
      31*T1^9*T2^3 - 434*T2^4 + 293*T1*T2^4 + 8383*T1^2*T2^4 - 
      23255*T1^3*T2^4 + 16101*T1^4*T2^4 + 19525*T1^5*T2^4 - 30831*T1^6*T2^4 + 
      14057*T1^7*T2^4 - 841*T1^8*T2^4 - 995*T1^9*T2^4 + 174*T1^10*T2^4 + 
      160*T2^5 + 843*T1*T2^5 - 7215*T1^2*T2^5 + 8621*T1^3*T2^5 + 
      19525*T1^4*T2^5 - 57812*T1^5*T2^5 + 44710*T1^6*T2^5 - 2743*T1^7*T2^5 - 
      12383*T1^8*T2^5 + 5781*T1^9*T2^5 - 389*T1^10*T2^5 - 120*T1^11*T2^5 - 
      23*T2^6 - 560*T1*T2^6 + 2141*T1^2*T2^6 + 4802*T1^3*T2^6 - 
      30831*T1^4*T2^6 + 44710*T1^5*T2^6 - 6000*T1^6*T2^6 - 40034*T1^7*T2^6 + 
      32497*T1^8*T2^6 - 7110*T1^9*T2^6 - 2147*T1^10*T2^6 + 672*T1^11*T2^6 + 
      25*T1^12*T2^6 + 104*T1*T2^7 + 171*T1^2*T2^7 - 4859*T1^3*T2^7 + 
      14057*T1^4*T2^7 - 2743*T1^5*T2^7 - 40034*T1^6*T2^7 + 62488*T1^7*T2^7 - 
      25011*T1^8*T2^7 - 6947*T1^9*T2^7 + 8137*T1^10*T2^7 - 1061*T1^11*T2^7 - 
      176*T1^12*T2^7 - 130*T1^2*T2^8 + 1133*T1^3*T2^8 - 841*T1^4*T2^8 - 
      12383*T1^5*T2^8 + 32497*T1^6*T2^8 - 25011*T1^7*T2^8 - 14435*T1^8*T2^8 + 
      24929*T1^9*T2^8 - 10065*T1^10*T2^8 - 155*T1^11*T2^8 + 478*T1^12*T2^8 - 
      31*T1^3*T2^9 - 995*T1^4*T2^9 + 5781*T1^5*T2^9 - 7110*T1^6*T2^9 - 
      6947*T1^7*T2^9 + 24929*T1^8*T2^9 - 17284*T1^9*T2^9 + 2209*T1^10*T2^9 + 
      2393*T1^11*T2^9 - 667*T1^12*T2^9 + 174*T1^4*T2^10 - 389*T1^5*T2^10 - 
      2147*T1^6*T2^10 + 8137*T1^7*T2^10 - 10065*T1^8*T2^10 + 
      2209*T1^9*T2^10 + 3325*T1^10*T2^10 - 2517*T1^11*T2^10 + 
      478*T1^12*T2^10 - 120*T1^5*T2^11 + 672*T1^6*T2^11 - 1061*T1^7*T2^11 - 
      155*T1^8*T2^11 + 2393*T1^9*T2^11 - 2517*T1^10*T2^11 + 
      1120*T1^11*T2^11 - 176*T1^12*T2^11 + 25*T1^6*T2^12 - 176*T1^7*T2^12 + 
      478*T1^8*T2^12 - 667*T1^9*T2^12 + 478*T1^10*T2^12 - 176*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 752] -> {-((8 - 29*T + 41*T^2 - 29*T^3 + 8*T^4)/T^2), 
   -((-1600 + 5728*T1 - 8048*T1^2 + 5728*T1^3 - 1600*T1^4 + 5728*T2 - 
      16654*T1*T2 + 15062*T1^2*T2 - 1178*T1^3*T2 - 8070*T1^4*T2 + 
      3872*T1^5*T2 - 8048*T2^2 + 15062*T1*T2^2 + 5914*T1^2*T2^2 - 
      30602*T1^3*T2^2 + 27562*T1^4*T2^2 - 3962*T1^5*T2^2 - 2800*T1^6*T2^2 + 
      5728*T2^3 - 1178*T1*T2^3 - 30602*T1^2*T2^3 + 42347*T1^3*T2^3 - 
      15131*T1^4*T2^3 - 15145*T1^5*T2^3 + 9494*T1^6*T2^3 + 160*T1^7*T2^3 - 
      1600*T2^4 - 8070*T1*T2^4 + 27562*T1^2*T2^4 - 15131*T1^3*T2^4 - 
      19920*T1^4*T2^4 + 32951*T1^5*T2^4 - 10720*T1^6*T2^4 - 2038*T1^7*T2^4 + 
      448*T1^8*T2^4 + 3872*T1*T2^5 - 3962*T1^2*T2^5 - 15145*T1^3*T2^5 + 
      32951*T1^4*T2^5 - 24527*T1^5*T2^5 + 312*T1^6*T2^5 + 6710*T1^7*T2^5 - 
      1696*T1^8*T2^5 - 2800*T1^2*T2^6 + 9494*T1^3*T2^6 - 10720*T1^4*T2^6 + 
      312*T1^5*T2^6 + 10928*T1^6*T2^6 - 9530*T1^7*T2^6 + 2448*T1^8*T2^6 + 
      160*T1^3*T2^7 - 2038*T1^4*T2^7 + 6710*T1^5*T2^7 - 9530*T1^6*T2^7 + 
      6546*T1^7*T2^7 - 1696*T1^8*T2^7 + 448*T1^4*T2^8 - 1696*T1^5*T2^8 + 
      2448*T1^6*T2^8 - 1696*T1^7*T2^8 + 448*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 753] -> 
  {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   (-333 + 1161*T1 - 1699*T1^2 + 1161*T1^3 - 333*T1^4 + 1161*T2 - 
     3636*T1*T2 + 4514*T1^2*T2 - 2038*T1^3*T2 - 234*T1^4*T2 + 405*T1^5*T2 - 
     1699*T2^2 + 4514*T1*T2^2 - 3125*T1^2*T2^2 - 3189*T1^3*T2^2 + 
     6175*T1^4*T2^2 - 3298*T1^5*T2^2 + 533*T1^6*T2^2 + 1161*T2^3 - 
     2038*T1*T2^3 - 3189*T1^2*T2^3 + 11719*T1^3*T2^3 - 11927*T1^4*T2^3 + 
     2670*T1^5*T2^3 + 1994*T1^6*T2^3 - 1107*T1^7*T2^3 - 333*T2^4 - 
     234*T1*T2^4 + 6175*T1^2*T2^4 - 11927*T1^3*T2^4 + 6432*T1^4*T2^4 + 
     7099*T1^5*T2^4 - 7883*T1^6*T2^4 + 2034*T1^7*T2^4 + 531*T1^8*T2^4 + 
     405*T1*T2^5 - 3298*T1^2*T2^5 + 2670*T1^3*T2^5 + 7099*T1^4*T2^5 - 
     16547*T1^5*T2^5 + 8529*T1^6*T2^5 + 734*T1^7*T2^5 - 1863*T1^8*T2^5 + 
     533*T1^2*T2^6 + 1994*T1^3*T2^6 - 7883*T1^4*T2^6 + 8529*T1^5*T2^6 + 
     1417*T1^6*T2^6 - 5818*T1^7*T2^6 + 2765*T1^8*T2^6 - 1107*T1^3*T2^7 + 
     2034*T1^4*T2^7 + 734*T1^5*T2^7 - 5818*T1^6*T2^7 + 5436*T1^7*T2^7 - 
     1863*T1^8*T2^7 + 531*T1^4*T2^8 - 1863*T1^5*T2^8 + 2765*T1^6*T2^8 - 
     1863*T1^7*T2^8 + 531*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 754] -> 
  {-((1 - 9*T + 30*T^2 - 57*T^3 + 69*T^4 - 57*T^5 + 30*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 150*T1^2 + 285*T1^3 - 345*T1^4 + 285*T1^5 - 
      150*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1026*T1^2*T2 - 
      1484*T1^3*T2 + 1052*T1^4*T2 - 82*T1^5*T2 - 701*T1^6*T2 + 675*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 150*T2^2 + 1026*T1*T2^2 - 1680*T1^2*T2^2 - 
      337*T1^3*T2^2 + 5356*T1^4*T2^2 - 8590*T1^5*T2^2 + 7696*T1^6*T2^2 - 
      3217*T1^7*T2^2 + 60*T1^8*T2^2 + 486*T1^9*T2^2 - 90*T1^10*T2^2 + 
      285*T2^3 - 1484*T1*T2^3 - 337*T1^2*T2^3 + 8921*T1^3*T2^3 - 
      18518*T1^4*T2^3 + 15483*T1^5*T2^3 - 3660*T1^6*T2^3 - 8366*T1^7*T2^3 + 
      8309*T1^8*T2^3 - 2767*T1^9*T2^3 - 215*T1^10*T2^3 + 114*T1^11*T2^3 - 
      345*T2^4 + 1052*T1*T2^4 + 5356*T1^2*T2^4 - 18518*T1^3*T2^4 + 
      21065*T1^4*T2^4 + 2231*T1^5*T2^4 - 23977*T1^6*T2^4 + 28997*T1^7*T2^4 - 
      9415*T1^8*T2^4 - 4496*T1^9*T2^4 + 4402*T1^10*T2^4 - 406*T1^11*T2^4 - 
      69*T1^12*T2^4 + 285*T2^5 - 82*T1*T2^5 - 8590*T1^2*T2^5 + 
      15483*T1^3*T2^5 + 2231*T1^4*T2^5 - 41046*T1^5*T2^5 + 45508*T1^6*T2^5 - 
      18986*T1^7*T2^5 - 21060*T1^8*T2^5 + 23930*T1^9*T2^5 - 7062*T1^10*T2^5 - 
      2083*T1^11*T2^5 + 620*T1^12*T2^5 - 150*T2^6 - 701*T1*T2^6 + 
      7696*T1^2*T2^6 - 3660*T1^3*T2^6 - 23977*T1^4*T2^6 + 45508*T1^5*T2^6 - 
      7573*T1^6*T2^6 - 39819*T1^7*T2^6 + 60611*T1^8*T2^6 - 23936*T1^9*T2^6 - 
      8461*T1^10*T2^6 + 10380*T1^11*T2^6 - 1232*T1^12*T2^6 - 269*T1^13*T2^6 + 
      30*T1^14*T2^6 + 45*T2^7 + 675*T1*T2^7 - 3217*T1^2*T2^7 - 
      8366*T1^3*T2^7 + 28997*T1^4*T2^7 - 18986*T1^5*T2^7 - 39819*T1^6*T2^7 + 
      64108*T1^7*T2^7 - 37160*T1^8*T2^7 - 21378*T1^9*T2^7 + 
      35608*T1^10*T2^7 - 12970*T1^11*T2^7 - 3038*T1^12*T2^7 + 
      1913*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 60*T1^2*T2^8 + 8309*T1^3*T2^8 - 9415*T1^4*T2^8 - 
      21060*T1^5*T2^8 + 60611*T1^6*T2^8 - 37160*T1^7*T2^8 - 20520*T1^8*T2^8 + 
      57484*T1^9*T2^8 - 33955*T1^10*T2^8 - 4740*T1^11*T2^8 + 
      12953*T1^12*T2^8 - 3469*T1^13*T2^8 - 474*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 486*T1^2*T2^9 - 2767*T1^3*T2^9 - 
      4496*T1^4*T2^9 + 23930*T1^5*T2^9 - 23936*T1^6*T2^9 - 21378*T1^7*T2^9 + 
      57484*T1^8*T2^9 - 43784*T1^9*T2^9 - 2937*T1^10*T2^9 + 
      30658*T1^11*T2^9 - 18037*T1^12*T2^9 + 832*T1^13*T2^9 + 
      2363*T1^14*T2^9 - 297*T1^15*T2^9 - 27*T1^16*T2^9 - 90*T1^2*T2^10 - 
      215*T1^3*T2^10 + 4402*T1^4*T2^10 - 7062*T1^5*T2^10 - 8461*T1^6*T2^10 + 
      35608*T1^7*T2^10 - 33955*T1^8*T2^10 - 2937*T1^9*T2^10 + 
      34229*T1^10*T2^10 - 33836*T1^11*T2^10 + 7055*T1^12*T2^10 + 
      6978*T1^13*T2^10 - 4526*T1^14*T2^10 + 217*T1^15*T2^10 + 
      90*T1^16*T2^10 + 114*T1^3*T2^11 - 406*T1^4*T2^11 - 2083*T1^5*T2^11 + 
      10380*T1^6*T2^11 - 12970*T1^7*T2^11 - 4740*T1^8*T2^11 + 
      30658*T1^9*T2^11 - 33836*T1^10*T2^11 + 15246*T1^11*T2^11 + 
      8729*T1^12*T2^11 - 12165*T1^13*T2^11 + 4424*T1^14*T2^11 + 
      296*T1^15*T2^11 - 171*T1^16*T2^11 - 69*T1^4*T2^12 + 620*T1^5*T2^12 - 
      1232*T1^6*T2^12 - 3038*T1^7*T2^12 + 12953*T1^8*T2^12 - 
      18037*T1^9*T2^12 + 7055*T1^10*T2^12 + 8729*T1^11*T2^12 - 
      17527*T1^12*T2^12 + 10984*T1^13*T2^12 - 2186*T1^14*T2^12 - 
      838*T1^15*T2^12 + 207*T1^16*T2^12 - 269*T1^6*T2^13 + 1913*T1^7*T2^13 - 
      3469*T1^8*T2^13 + 832*T1^9*T2^13 + 6978*T1^10*T2^13 - 
      12165*T1^11*T2^13 + 10984*T1^12*T2^13 - 4081*T1^13*T2^13 - 
      517*T1^14*T2^13 + 1000*T1^15*T2^13 - 171*T1^16*T2^13 + 30*T1^6*T2^14 - 
      108*T1^7*T2^14 - 474*T1^8*T2^14 + 2363*T1^9*T2^14 - 4526*T1^10*T2^14 + 
      4424*T1^11*T2^14 - 2186*T1^12*T2^14 - 517*T1^13*T2^14 + 
      1266*T1^14*T2^14 - 648*T1^15*T2^14 + 90*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 297*T1^9*T2^15 + 217*T1^10*T2^15 + 296*T1^11*T2^15 - 
      838*T1^12*T2^15 + 1000*T1^13*T2^15 - 648*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      90*T1^10*T2^16 - 171*T1^11*T2^16 + 207*T1^12*T2^16 - 171*T1^13*T2^16 + 
      90*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 755] -> 
  {-((2 - 11*T + 31*T^2 - 57*T^3 + 69*T^4 - 57*T^5 + 31*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-41 + 224*T1 - 628*T1^2 + 1151*T1^3 - 1391*T1^4 + 1151*T1^5 - 
      628*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1046*T1*T2 + 2457*T1^2*T2 - 
      3551*T1^3*T2 + 2572*T1^4*T2 - 200*T1^5*T2 - 1615*T1^6*T2 + 
      1533*T1^7*T2 - 760*T1^8*T2 + 180*T1^9*T2 - 628*T2^2 + 2457*T1*T2^2 - 
      4657*T1^2*T2^2 + 4690*T1^3*T2^2 + 465*T1^4*T2^2 - 5129*T1^5*T2^2 + 
      5177*T1^6*T2^2 - 1014*T1^7*T2^2 - 1061*T1^8*T2^2 + 1093*T1^9*T2^2 - 
      380*T1^10*T2^2 + 1151*T2^3 - 3551*T1*T2^3 + 4690*T1^2*T2^3 - 
      1005*T1^3*T2^3 - 9199*T1^4*T2^3 + 10344*T1^5*T2^3 - 2526*T1^6*T2^3 - 
      6551*T1^7*T2^3 + 4851*T1^8*T2^3 - 1479*T1^9*T2^3 - 471*T1^10*T2^3 + 
      467*T1^11*T2^3 - 1391*T2^4 + 2572*T1*T2^4 + 465*T1^2*T2^4 - 
      9199*T1^3*T2^4 + 19659*T1^4*T2^4 - 7058*T1^5*T2^4 - 9749*T1^6*T2^4 + 
      15202*T1^7*T2^4 - 1041*T1^8*T2^4 - 4297*T1^9*T2^4 + 3783*T1^10*T2^4 - 
      992*T1^11*T2^4 - 287*T1^12*T2^4 + 1151*T2^5 - 200*T1*T2^5 - 
      5129*T1^2*T2^5 + 10344*T1^3*T2^5 - 7058*T1^4*T2^5 - 23694*T1^5*T2^5 + 
      32417*T1^6*T2^5 - 13789*T1^7*T2^5 - 16728*T1^8*T2^5 + 13741*T1^9*T2^5 - 
      4782*T1^10*T2^5 - 1286*T1^11*T2^5 + 1516*T1^12*T2^5 + 11*T1^13*T2^5 - 
      628*T2^6 - 1615*T1*T2^6 + 5177*T1^2*T2^6 - 2526*T1^3*T2^6 - 
      9749*T1^4*T2^6 + 32417*T1^5*T2^6 - 5298*T1^6*T2^6 - 35906*T1^7*T2^6 + 
      52686*T1^8*T2^6 - 17539*T1^9*T2^6 - 2975*T1^10*T2^6 + 6960*T1^11*T2^6 - 
      2323*T1^12*T2^6 - 691*T1^13*T2^6 + 116*T1^14*T2^6 + 224*T2^7 + 
      1533*T1*T2^7 - 1014*T1^2*T2^7 - 6551*T1^3*T2^7 + 15202*T1^4*T2^7 - 
      13789*T1^5*T2^7 - 35906*T1^6*T2^7 + 61619*T1^7*T2^7 - 37059*T1^8*T2^7 - 
      18061*T1^9*T2^7 + 24917*T1^10*T2^7 - 11441*T1^11*T2^7 - 
      183*T1^12*T2^7 + 2365*T1^13*T2^7 - 183*T1^14*T2^7 - 84*T1^15*T2^7 - 
      41*T2^8 - 760*T1*T2^8 - 1061*T1^2*T2^8 + 4851*T1^3*T2^8 - 
      1041*T1^4*T2^8 - 16728*T1^5*T2^8 + 52686*T1^6*T2^8 - 37059*T1^7*T2^8 - 
      16512*T1^8*T2^8 + 53743*T1^9*T2^8 - 29064*T1^10*T2^8 + 876*T1^11*T2^8 + 
      7471*T1^12*T2^8 - 3755*T1^13*T2^8 - 367*T1^14*T2^8 + 340*T1^15*T2^8 + 
      23*T1^16*T2^8 + 180*T1*T2^9 + 1093*T1^2*T2^9 - 1479*T1^3*T2^9 - 
      4297*T1^4*T2^9 + 13741*T1^5*T2^9 - 17539*T1^6*T2^9 - 18061*T1^7*T2^9 + 
      53743*T1^8*T2^9 - 44935*T1^9*T2^9 - 216*T1^10*T2^9 + 21167*T1^11*T2^9 - 
      12902*T1^12*T2^9 + 2071*T1^13*T2^9 + 1900*T1^14*T2^9 - 623*T1^15*T2^9 - 
      128*T1^16*T2^9 - 380*T1^2*T2^10 - 471*T1^3*T2^10 + 3783*T1^4*T2^10 - 
      4782*T1^5*T2^10 - 2975*T1^6*T2^10 + 24917*T1^7*T2^10 - 
      29064*T1^8*T2^10 - 216*T1^9*T2^10 + 28920*T1^10*T2^10 - 
      25039*T1^11*T2^10 + 3799*T1^12*T2^10 + 4704*T1^13*T2^10 - 
      3717*T1^14*T2^10 + 453*T1^15*T2^10 + 364*T1^16*T2^10 + 467*T1^3*T2^11 - 
      992*T1^4*T2^11 - 1286*T1^5*T2^11 + 6960*T1^6*T2^11 - 11441*T1^7*T2^11 + 
      876*T1^8*T2^11 + 21167*T1^9*T2^11 - 25039*T1^10*T2^11 + 
      7842*T1^11*T2^11 + 9358*T1^12*T2^11 - 8166*T1^13*T2^11 + 
      2557*T1^14*T2^11 + 724*T1^15*T2^11 - 673*T1^16*T2^11 - 287*T1^4*T2^12 + 
      1516*T1^5*T2^12 - 2323*T1^6*T2^12 - 183*T1^7*T2^12 + 7471*T1^8*T2^12 - 
      12902*T1^9*T2^12 + 3799*T1^10*T2^12 + 9358*T1^11*T2^12 - 
      13229*T1^12*T2^12 + 4719*T1^13*T2^12 + 995*T1^14*T2^12 - 
      2048*T1^15*T2^12 + 817*T1^16*T2^12 + 11*T1^5*T2^13 - 691*T1^6*T2^13 + 
      2365*T1^7*T2^13 - 3755*T1^8*T2^13 + 2071*T1^9*T2^13 + 
      4704*T1^10*T2^13 - 8166*T1^11*T2^13 + 4719*T1^12*T2^13 + 
      2101*T1^13*T2^13 - 3804*T1^14*T2^13 + 2389*T1^15*T2^13 - 
      673*T1^16*T2^13 + 116*T1^6*T2^14 - 183*T1^7*T2^14 - 367*T1^8*T2^14 + 
      1900*T1^9*T2^14 - 3717*T1^10*T2^14 + 2557*T1^11*T2^14 + 
      995*T1^12*T2^14 - 3804*T1^13*T2^14 + 3229*T1^14*T2^14 - 
      1547*T1^15*T2^14 + 364*T1^16*T2^14 - 84*T1^7*T2^15 + 340*T1^8*T2^15 - 
      623*T1^9*T2^15 + 453*T1^10*T2^15 + 724*T1^11*T2^15 - 2048*T1^12*T2^15 + 
      2389*T1^13*T2^15 - 1547*T1^14*T2^15 + 626*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 364*T1^10*T2^16 - 
      673*T1^11*T2^16 + 817*T1^12*T2^16 - 673*T1^13*T2^16 + 364*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 756] -> 
  {-((1 - 8*T + 23*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 23*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 69*T1^2 + 117*T1^3 - 135*T1^4 + 117*T1^5 - 
      69*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 425*T1^2*T2 - 
      570*T1^3*T2 + 457*T1^4*T2 - 215*T1^5*T2 - 74*T1^6*T2 + 177*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 69*T2^2 + 425*T1*T2^2 - 591*T1^2*T2^2 - 
      67*T1^3*T2^2 + 1370*T1^4*T2^2 - 2189*T1^5*T2^2 + 2382*T1^6*T2^2 - 
      1493*T1^7*T2^2 + 421*T1^8*T2^2 + 57*T1^9*T2^2 - 23*T1^10*T2^2 + 
      117*T2^3 - 570*T1*T2^3 - 67*T1^2*T2^3 + 2429*T1^3*T2^3 - 
      4843*T1^4*T2^3 + 4793*T1^5*T2^3 - 3409*T1^6*T2^3 + 364*T1^7*T2^3 + 
      1405*T1^8*T2^3 - 1102*T1^9*T2^3 + 182*T1^10*T2^3 - 135*T2^4 + 
      457*T1*T2^4 + 1370*T1^2*T2^4 - 4843*T1^3*T2^4 + 6201*T1^4*T2^4 - 
      2969*T1^5*T2^4 - 683*T1^6*T2^4 + 5179*T1^7*T2^4 - 5223*T1^8*T2^4 + 
      1865*T1^9*T2^4 + 518*T1^10*T2^4 - 359*T1^11*T2^4 + 45*T1^12*T2^4 + 
      117*T2^5 - 215*T1*T2^5 - 2189*T1^2*T2^5 + 4793*T1^3*T2^5 - 
      2969*T1^4*T2^5 - 3110*T1^5*T2^5 + 6235*T1^6*T2^5 - 8198*T1^7*T2^5 + 
      3064*T1^8*T2^5 + 3649*T1^9*T2^5 - 4369*T1^10*T2^5 + 1069*T1^11*T2^5 + 
      265*T1^12*T2^5 - 78*T1^13*T2^5 - 69*T2^6 - 74*T1*T2^6 + 
      2382*T1^2*T2^6 - 3409*T1^3*T2^6 - 683*T1^4*T2^6 + 6235*T1^5*T2^6 - 
      5907*T1^6*T2^6 + 3927*T1^7*T2^6 + 3981*T1^8*T2^6 - 8405*T1^9*T2^6 + 
      2395*T1^10*T2^6 + 3353*T1^11*T2^6 - 2358*T1^12*T2^6 + 70*T1^13*T2^6 + 
      69*T1^14*T2^6 + 24*T2^7 + 177*T1*T2^7 - 1493*T1^2*T2^7 + 
      364*T1^3*T2^7 + 5179*T1^4*T2^7 - 8198*T1^5*T2^7 + 3927*T1^6*T2^7 + 
      1194*T1^7*T2^7 - 7400*T1^8*T2^7 + 5626*T1^9*T2^7 + 5821*T1^10*T2^7 - 
      7559*T1^11*T2^7 + 1161*T1^12*T2^7 + 1888*T1^13*T2^7 - 295*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 421*T1^2*T2^8 + 1405*T1^3*T2^8 - 
      5223*T1^4*T2^8 + 3064*T1^5*T2^8 + 3981*T1^6*T2^8 - 7400*T1^7*T2^8 + 
      5352*T1^8*T2^8 + 2312*T1^9*T2^8 - 12009*T1^10*T2^8 + 4432*T1^11*T2^8 + 
      4493*T1^12*T2^8 - 3961*T1^13*T2^8 - 351*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 57*T1^2*T2^9 - 1102*T1^3*T2^9 + 
      1865*T1^4*T2^9 + 3649*T1^5*T2^9 - 8405*T1^6*T2^9 + 5626*T1^7*T2^9 + 
      2312*T1^8*T2^9 - 6282*T1^9*T2^9 + 7325*T1^10*T2^9 + 5614*T1^11*T2^9 - 
      9089*T1^12*T2^9 + 2662*T1^13*T2^9 + 2279*T1^14*T2^9 - 415*T1^15*T2^9 - 
      40*T1^16*T2^9 - 23*T1^2*T2^10 + 182*T1^3*T2^10 + 518*T1^4*T2^10 - 
      4369*T1^5*T2^10 + 2395*T1^6*T2^10 + 5821*T1^7*T2^10 - 
      12009*T1^8*T2^10 + 7325*T1^9*T2^10 - 2121*T1^10*T2^10 - 
      8819*T1^11*T2^10 + 5473*T1^12*T2^10 + 2393*T1^13*T2^10 - 
      4222*T1^14*T2^10 + 326*T1^15*T2^10 + 115*T1^16*T2^10 - 359*T1^4*T2^11 + 
      1069*T1^5*T2^11 + 3353*T1^6*T2^11 - 7559*T1^7*T2^11 + 4432*T1^8*T2^11 + 
      5614*T1^9*T2^11 - 8819*T1^10*T2^11 + 10606*T1^11*T2^11 - 
      941*T1^12*T2^11 - 5809*T1^13*T2^11 + 4327*T1^14*T2^11 + 
      121*T1^15*T2^11 - 195*T1^16*T2^11 + 45*T1^4*T2^12 + 265*T1^5*T2^12 - 
      2358*T1^6*T2^12 + 1161*T1^7*T2^12 + 4493*T1^8*T2^12 - 9089*T1^9*T2^12 + 
      5473*T1^10*T2^12 - 941*T1^11*T2^12 - 6931*T1^12*T2^12 + 
      7869*T1^13*T2^12 - 3210*T1^14*T2^12 - 551*T1^15*T2^12 + 
      225*T1^16*T2^12 - 78*T1^5*T2^13 + 70*T1^6*T2^13 + 1888*T1^7*T2^13 - 
      3961*T1^8*T2^13 + 2662*T1^9*T2^13 + 2393*T1^10*T2^13 - 
      5809*T1^11*T2^13 + 7869*T1^12*T2^13 - 4985*T1^13*T2^13 + 
      853*T1^14*T2^13 + 822*T1^15*T2^13 - 195*T1^16*T2^13 + 69*T1^6*T2^14 - 
      295*T1^7*T2^14 - 351*T1^8*T2^14 + 2279*T1^9*T2^14 - 4222*T1^10*T2^14 + 
      4327*T1^11*T2^14 - 3210*T1^12*T2^14 + 853*T1^13*T2^14 + 
      661*T1^14*T2^14 - 663*T1^15*T2^14 + 115*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 415*T1^9*T2^15 + 326*T1^10*T2^15 + 121*T1^11*T2^15 - 
      551*T1^12*T2^15 + 822*T1^13*T2^15 - 663*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 115*T1^10*T2^16 - 
      195*T1^11*T2^16 + 225*T1^12*T2^16 - 195*T1^13*T2^16 + 115*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 757] -> 
  {-((2 - 9*T + 20*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 183*T1 - 404*T1^2 + 645*T1^3 - 745*T1^4 + 645*T1^5 - 
      404*T1^6 + 183*T1^7 - 41*T1^8 + 183*T2 - 672*T1*T2 + 1155*T1^2*T2 - 
      1443*T1^3*T2 + 1026*T1^4*T2 - 216*T1^5*T2 - 507*T1^6*T2 + 633*T1^7*T2 - 
      474*T1^8*T2 + 147*T1^9*T2 - 404*T2^2 + 1155*T1*T2^2 - 1316*T1^2*T2^2 + 
      996*T1^3*T2^2 + 581*T1^4*T2^2 - 1762*T1^5*T2^2 + 1941*T1^6*T2^2 - 
      844*T1^7*T2^2 + 124*T1^8*T2^2 + 435*T1^9*T2^2 - 244*T1^10*T2^2 + 
      645*T2^3 - 1443*T1*T2^3 + 996*T1^2*T2^3 - 470*T1^3*T2^3 - 
      1555*T1^4*T2^3 + 1691*T1^5*T2^3 - 745*T1^6*T2^3 - 1027*T1^7*T2^3 + 
      838*T1^8*T2^3 - 864*T1^9*T2^3 - 75*T1^10*T2^3 + 261*T1^11*T2^3 - 
      745*T2^4 + 1026*T1*T2^4 + 581*T1^2*T2^4 - 1555*T1^3*T2^4 + 
      4384*T1^4*T2^4 - 3473*T1^5*T2^4 + 2198*T1^6*T2^4 - 489*T1^7*T2^4 + 
      1496*T1^8*T2^4 - 659*T1^9*T2^4 + 1317*T1^10*T2^4 - 486*T1^11*T2^4 - 
      153*T1^12*T2^4 + 645*T2^5 - 216*T1*T2^5 - 1762*T1^2*T2^5 + 
      1691*T1^3*T2^5 - 3473*T1^4*T2^5 + 327*T1^5*T2^5 + 584*T1^6*T2^5 - 
      908*T1^7*T2^5 - 1467*T1^8*T2^5 + 93*T1^9*T2^5 - 1009*T1^10*T2^5 - 
      451*T1^11*T2^5 + 666*T1^12*T2^5 + 5*T1^13*T2^5 - 404*T2^6 - 
      507*T1*T2^6 + 1941*T1^2*T2^6 - 745*T1^3*T2^6 + 2198*T1^4*T2^6 + 
      584*T1^5*T2^6 + 1448*T1^6*T2^6 - 2920*T1^7*T2^6 + 4432*T1^8*T2^6 - 
      816*T1^9*T2^6 + 854*T1^10*T2^6 + 1295*T1^11*T2^6 - 667*T1^12*T2^6 - 
      363*T1^13*T2^6 + 76*T1^14*T2^6 + 183*T2^7 + 633*T1*T2^7 - 
      844*T1^2*T2^7 - 1027*T1^3*T2^7 - 489*T1^4*T2^7 - 908*T1^5*T2^7 - 
      2920*T1^6*T2^7 + 3824*T1^7*T2^7 - 2746*T1^8*T2^7 - 1592*T1^9*T2^7 + 
      768*T1^10*T2^7 - 1727*T1^11*T2^7 - 83*T1^12*T2^7 + 896*T1^13*T2^7 - 
      33*T1^14*T2^7 - 69*T1^15*T2^7 - 41*T2^8 - 474*T1*T2^8 + 124*T1^2*T2^8 + 
      838*T1^3*T2^8 + 1496*T1^4*T2^8 - 1467*T1^5*T2^8 + 4432*T1^6*T2^8 - 
      2746*T1^7*T2^8 - 768*T1^8*T2^8 + 3730*T1^9*T2^8 - 1584*T1^10*T2^8 + 
      1155*T1^11*T2^8 + 696*T1^12*T2^8 - 770*T1^13*T2^8 - 410*T1^14*T2^8 + 
      210*T1^15*T2^8 + 23*T1^16*T2^8 + 147*T1*T2^9 + 435*T1^2*T2^9 - 
      864*T1^3*T2^9 - 659*T1^4*T2^9 + 93*T1^5*T2^9 - 816*T1^6*T2^9 - 
      1592*T1^7*T2^9 + 3730*T1^8*T2^9 - 2840*T1^9*T2^9 - 264*T1^10*T2^9 + 
      860*T1^11*T2^9 - 1145*T1^12*T2^9 + 285*T1^13*T2^9 + 876*T1^14*T2^9 - 
      231*T1^15*T2^9 - 105*T1^16*T2^9 - 244*T1^2*T2^10 - 75*T1^3*T2^10 + 
      1317*T1^4*T2^10 - 1009*T1^5*T2^10 + 854*T1^6*T2^10 + 768*T1^7*T2^10 - 
      1584*T1^8*T2^10 - 264*T1^9*T2^10 + 1400*T1^10*T2^10 - 632*T1^11*T2^10 - 
      490*T1^12*T2^10 + 1031*T1^13*T2^10 - 1291*T1^14*T2^10 + 
      69*T1^15*T2^10 + 236*T1^16*T2^10 + 261*T1^3*T2^11 - 486*T1^4*T2^11 - 
      451*T1^5*T2^11 + 1295*T1^6*T2^11 - 1727*T1^7*T2^11 + 1155*T1^8*T2^11 + 
      860*T1^9*T2^11 - 632*T1^10*T2^11 - 639*T1^11*T2^11 + 1839*T1^12*T2^11 - 
      1405*T1^13*T2^11 + 860*T1^14*T2^11 + 396*T1^15*T2^11 - 
      379*T1^16*T2^11 - 153*T1^4*T2^12 + 666*T1^5*T2^12 - 667*T1^6*T2^12 - 
      83*T1^7*T2^12 + 696*T1^8*T2^12 - 1145*T1^9*T2^12 - 490*T1^10*T2^12 + 
      1839*T1^11*T2^12 - 2192*T1^12*T2^12 + 813*T1^13*T2^12 + 
      69*T1^14*T2^12 - 846*T1^15*T2^12 + 439*T1^16*T2^12 + 5*T1^5*T2^13 - 
      363*T1^6*T2^13 + 896*T1^7*T2^13 - 770*T1^8*T2^13 + 285*T1^9*T2^13 + 
      1031*T1^10*T2^13 - 1405*T1^11*T2^13 + 813*T1^12*T2^13 + 
      538*T1^13*T2^13 - 964*T1^14*T2^13 + 1005*T1^15*T2^13 - 
      379*T1^16*T2^13 + 76*T1^6*T2^14 - 33*T1^7*T2^14 - 410*T1^8*T2^14 + 
      876*T1^9*T2^14 - 1291*T1^10*T2^14 + 860*T1^11*T2^14 + 69*T1^12*T2^14 - 
      964*T1^13*T2^14 + 1030*T1^14*T2^14 - 753*T1^15*T2^14 + 
      236*T1^16*T2^14 - 69*T1^7*T2^15 + 210*T1^8*T2^15 - 231*T1^9*T2^15 + 
      69*T1^10*T2^15 + 396*T1^11*T2^15 - 846*T1^12*T2^15 + 1005*T1^13*T2^15 - 
      753*T1^14*T2^15 + 408*T1^15*T2^15 - 105*T1^16*T2^15 + 23*T1^8*T2^16 - 
      105*T1^9*T2^16 + 236*T1^10*T2^16 - 379*T1^11*T2^16 + 439*T1^12*T2^16 - 
      379*T1^13*T2^16 + 236*T1^14*T2^16 - 105*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 758] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-90 + 386*T1 - 740*T1^2 + 920*T1^3 - 740*T1^4 + 386*T1^5 - 90*T1^6 + 
      386*T2 - 1389*T1*T2 + 2029*T1^2*T2 - 1747*T1^3*T2 + 437*T1^4*T2 + 
      547*T1^5*T2 - 765*T1^6*T2 + 269*T1^7*T2 - 740*T2^2 + 2029*T1*T2^2 - 
      1473*T1^2*T2^2 - 561*T1^3*T2^2 + 3181*T1^4*T2^2 - 3261*T1^5*T2^2 + 
      1827*T1^6*T2^2 + 79*T1^7*T2^2 - 290*T1^8*T2^2 + 920*T2^3 - 
      1747*T1*T2^3 - 561*T1^2*T2^3 + 3234*T1^3*T2^3 - 5082*T1^4*T2^3 + 
      2516*T1^5*T2^3 + 370*T1^6*T2^3 - 2336*T1^7*T2^3 + 905*T1^8*T2^3 + 
      83*T1^9*T2^3 - 740*T2^4 + 437*T1*T2^4 + 3181*T1^2*T2^4 - 
      5082*T1^3*T2^4 + 5089*T1^4*T2^4 - 185*T1^5*T2^4 - 2819*T1^6*T2^4 + 
      3350*T1^7*T2^4 + 203*T1^8*T2^4 - 1045*T1^9*T2^4 + 160*T1^10*T2^4 + 
      386*T2^5 + 547*T1*T2^5 - 3261*T1^2*T2^5 + 2516*T1^3*T2^5 - 
      185*T1^4*T2^5 - 4781*T1^5*T2^5 + 4689*T1^6*T2^5 - 1360*T1^7*T2^5 - 
      3414*T1^8*T2^5 + 2214*T1^9*T2^5 + 157*T1^10*T2^5 - 199*T1^11*T2^5 - 
      90*T2^6 - 765*T1*T2^6 + 1827*T1^2*T2^6 + 370*T1^3*T2^6 - 
      2819*T1^4*T2^6 + 4689*T1^5*T2^6 - 948*T1^6*T2^6 - 3641*T1^7*T2^6 + 
      5075*T1^8*T2^6 - 654*T1^9*T2^6 - 1861*T1^10*T2^6 + 561*T1^11*T2^6 + 
      72*T1^12*T2^6 + 269*T1*T2^7 + 79*T1^2*T2^7 - 2336*T1^3*T2^7 + 
      3350*T1^4*T2^7 - 1360*T1^5*T2^7 - 3641*T1^6*T2^7 + 5829*T1^7*T2^7 - 
      2535*T1^8*T2^7 - 2580*T1^9*T2^7 + 3139*T1^10*T2^7 - 311*T1^11*T2^7 - 
      316*T1^12*T2^7 - 290*T1^2*T2^8 + 905*T1^3*T2^8 + 203*T1^4*T2^8 - 
      3414*T1^5*T2^8 + 5075*T1^6*T2^8 - 2535*T1^7*T2^8 - 2833*T1^8*T2^8 + 
      5018*T1^9*T2^8 - 2775*T1^10*T2^8 - 577*T1^11*T2^8 + 610*T1^12*T2^8 + 
      83*T1^3*T2^9 - 1045*T1^4*T2^9 + 2214*T1^5*T2^9 - 654*T1^6*T2^9 - 
      2580*T1^7*T2^9 + 5018*T1^8*T2^9 - 3518*T1^9*T2^9 + 439*T1^10*T2^9 + 
      1607*T1^11*T2^9 - 754*T1^12*T2^9 + 160*T1^4*T2^10 + 157*T1^5*T2^10 - 
      1861*T1^6*T2^10 + 3139*T1^7*T2^10 - 2775*T1^8*T2^10 + 439*T1^9*T2^10 + 
      1439*T1^10*T2^10 - 1793*T1^11*T2^10 + 610*T1^12*T2^10 - 
      199*T1^5*T2^11 + 561*T1^6*T2^11 - 311*T1^7*T2^11 - 577*T1^8*T2^11 + 
      1607*T1^9*T2^11 - 1793*T1^10*T2^11 + 1185*T1^11*T2^11 - 
      316*T1^12*T2^11 + 72*T1^6*T2^12 - 316*T1^7*T2^12 + 610*T1^8*T2^12 - 
      754*T1^9*T2^12 + 610*T1^10*T2^12 - 316*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 759] -> 
  {(2 - 6*T + 9*T^2 - 9*T^3 + 9*T^4 - 9*T^5 + 9*T^6 - 6*T^7 + 2*T^8)/T^4, 
   (-17 + 51*T1 - 77*T1^2 + 77*T1^3 - 77*T1^4 + 77*T1^5 - 77*T1^6 + 51*T1^7 - 
     17*T1^8 + 51*T2 - 126*T1*T2 + 150*T1^2*T2 - 108*T1^3*T2 + 108*T1^4*T2 - 
     108*T1^5*T2 + 108*T1^6*T2 - 30*T1^7*T2 - 30*T1^8*T2 + 27*T1^9*T2 - 
     77*T2^2 + 150*T1*T2^2 - 117*T1^2*T2^2 + 17*T1^3*T2^2 - 39*T1^4*T2^2 + 
     39*T1^5*T2^2 - 39*T1^6*T2^2 - 91*T1^7*T2^2 + 135*T1^8*T2^2 - 
     66*T1^9*T2^2 - 5*T1^10*T2^2 + 77*T2^3 - 108*T1*T2^3 + 17*T1^2*T2^3 + 
     88*T1^3*T2^3 - 8*T1^4*T2^3 + 154*T1^7*T2^3 - 128*T1^8*T2^3 - 
     37*T1^9*T2^3 + 108*T1^10*T2^3 - 31*T1^11*T2^3 - 77*T2^4 + 108*T1*T2^4 - 
     39*T1^2*T2^4 - 8*T1^3*T2^4 - 114*T1^4*T2^4 + 92*T1^5*T2^4 - 
     60*T1^6*T2^4 - 124*T1^7*T2^4 + 66*T1^8*T2^4 + 100*T1^9*T2^4 - 
     39*T1^10*T2^4 - 108*T1^11*T2^4 + 67*T1^12*T2^4 + 77*T2^5 - 108*T1*T2^5 + 
     39*T1^2*T2^5 + 92*T1^4*T2^5 - 29*T1^5*T2^5 + 19*T1^6*T2^5 + 
     127*T1^7*T2^5 - 11*T1^8*T2^5 - 151*T1^9*T2^5 + 39*T1^11*T2^5 + 
     108*T1^12*T2^5 - 103*T1^13*T2^5 - 77*T2^6 + 108*T1*T2^6 - 39*T1^2*T2^6 - 
     60*T1^4*T2^6 + 19*T1^5*T2^6 - 78*T1^6*T2^6 - 92*T1^7*T2^6 + 
     30*T1^8*T2^6 + 73*T1^9*T2^6 + 102*T1^10*T2^6 - 39*T1^12*T2^6 - 
     108*T1^13*T2^6 + 139*T1^14*T2^6 + 51*T2^7 - 30*T1*T2^7 - 91*T1^2*T2^7 + 
     154*T1^3*T2^7 - 124*T1^4*T2^7 + 127*T1^5*T2^7 - 92*T1^6*T2^7 + 
     306*T1^7*T2^7 - 156*T1^8*T2^7 - 65*T1^9*T2^7 - 89*T1^10*T2^7 + 
     11*T1^11*T2^7 - 224*T1^12*T2^7 + 287*T1^13*T2^7 - 66*T1^14*T2^7 - 
     117*T1^15*T2^7 - 17*T2^8 - 30*T1*T2^8 + 135*T1^2*T2^8 - 128*T1^3*T2^8 + 
     66*T1^4*T2^8 - 11*T1^5*T2^8 + 30*T1^6*T2^8 - 156*T1^7*T2^8 - 
     60*T1^8*T2^8 + 192*T1^9*T2^8 + 156*T1^10*T2^8 - 137*T1^11*T2^8 + 
     354*T1^12*T2^8 - 92*T1^13*T2^8 - 225*T1^14*T2^8 + 210*T1^15*T2^8 + 
     47*T1^16*T2^8 + 27*T1*T2^9 - 66*T1^2*T2^9 - 37*T1^3*T2^9 + 
     100*T1^4*T2^9 - 151*T1^5*T2^9 + 73*T1^6*T2^9 - 65*T1^7*T2^9 + 
     192*T1^8*T2^9 - 270*T1^9*T2^9 - 38*T1^10*T2^9 - 143*T1^11*T2^9 - 
     16*T1^12*T2^9 - 278*T1^13*T2^9 + 341*T1^14*T2^9 - 102*T1^15*T2^9 - 
     141*T1^16*T2^9 - 5*T1^2*T2^10 + 108*T1^3*T2^10 - 39*T1^4*T2^10 + 
     102*T1^6*T2^10 - 89*T1^7*T2^10 + 156*T1^8*T2^10 - 38*T1^9*T2^10 + 
     264*T1^10*T2^10 - 35*T1^11*T2^10 + 264*T1^12*T2^10 - 39*T1^14*T2^10 - 
     108*T1^15*T2^10 + 211*T1^16*T2^10 - 31*T1^3*T2^11 - 108*T1^4*T2^11 + 
     39*T1^5*T2^11 + 11*T1^7*T2^11 - 137*T1^8*T2^11 - 143*T1^9*T2^11 - 
     35*T1^10*T2^11 - 119*T1^11*T2^11 - 232*T1^12*T2^11 + 39*T1^14*T2^11 + 
     108*T1^15*T2^11 - 211*T1^16*T2^11 + 67*T1^4*T2^12 + 108*T1^5*T2^12 - 
     39*T1^6*T2^12 - 224*T1^7*T2^12 + 354*T1^8*T2^12 - 16*T1^9*T2^12 + 
     264*T1^10*T2^12 - 232*T1^11*T2^12 + 534*T1^12*T2^12 - 116*T1^13*T2^12 - 
     39*T1^14*T2^12 - 108*T1^15*T2^12 + 211*T1^16*T2^12 - 103*T1^5*T2^13 - 
     108*T1^6*T2^13 + 287*T1^7*T2^13 - 92*T1^8*T2^13 - 278*T1^9*T2^13 - 
     116*T1^12*T2^13 - 308*T1^13*T2^13 + 233*T1^14*T2^13 + 108*T1^15*T2^13 - 
     211*T1^16*T2^13 + 139*T1^6*T2^14 - 66*T1^7*T2^14 - 225*T1^8*T2^14 + 
     341*T1^9*T2^14 - 39*T1^10*T2^14 + 39*T1^11*T2^14 - 39*T1^12*T2^14 + 
     233*T1^13*T2^14 + 27*T1^14*T2^14 - 282*T1^15*T2^14 + 211*T1^16*T2^14 - 
     117*T1^7*T2^15 + 210*T1^8*T2^15 - 102*T1^9*T2^15 - 108*T1^10*T2^15 + 
     108*T1^11*T2^15 - 108*T1^12*T2^15 + 108*T1^13*T2^15 - 282*T1^14*T2^15 + 
     306*T1^15*T2^15 - 141*T1^16*T2^15 + 47*T1^8*T2^16 - 141*T1^9*T2^16 + 
     211*T1^10*T2^16 - 211*T1^11*T2^16 + 211*T1^12*T2^16 - 211*T1^13*T2^16 + 
     211*T1^14*T2^16 - 141*T1^15*T2^16 + 47*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 760] -> 
  {(4 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (-128 + 452*T1 - 784*T1^2 + 888*T1^3 - 784*T1^4 + 452*T1^5 - 128*T1^6 + 
     452*T2 - 1366*T1*T2 + 1952*T1^2*T2 - 1708*T1^3*T2 + 1148*T1^4*T2 - 
     176*T1^5*T2 - 358*T1^6*T2 + 228*T1^7*T2 - 784*T2^2 + 1952*T1*T2^2 - 
     1977*T1^2*T2^2 + 669*T1^3*T2^2 + 431*T1^4*T2^2 - 1827*T1^5*T2^2 + 
     1863*T1^6*T2^2 - 736*T1^7*T2^2 - 16*T1^8*T2^2 + 888*T2^3 - 
     1708*T1*T2^3 + 669*T1^2*T2^3 + 1372*T1^3*T2^3 - 2040*T1^4*T2^3 + 
     2784*T1^5*T2^3 - 1352*T1^6*T2^3 - 1059*T1^7*T2^3 + 1484*T1^8*T2^3 - 
     408*T1^9*T2^3 - 784*T2^4 + 1148*T1*T2^4 + 431*T1^2*T2^4 - 
     2040*T1^3*T2^4 + 1546*T1^4*T2^4 - 1558*T1^5*T2^4 - 602*T1^6*T2^4 + 
     2712*T1^7*T2^4 - 937*T1^8*T2^4 - 1204*T1^9*T2^4 + 752*T1^10*T2^4 + 
     452*T2^5 - 176*T1*T2^5 - 1827*T1^2*T2^5 + 2784*T1^3*T2^5 - 
     1558*T1^4*T2^5 + 1144*T1^5*T2^5 + 928*T1^6*T2^5 - 1654*T1^7*T2^5 - 
     2184*T1^8*T2^5 + 2973*T1^9*T2^5 - 288*T1^10*T2^5 - 668*T1^11*T2^5 - 
     128*T2^6 - 358*T1*T2^6 + 1863*T1^2*T2^6 - 1352*T1^3*T2^6 - 
     602*T1^4*T2^6 + 928*T1^5*T2^6 - 1308*T1^6*T2^6 + 288*T1^7*T2^6 + 
     3574*T1^8*T2^6 - 1256*T1^9*T2^6 - 2201*T1^10*T2^6 + 1434*T1^11*T2^6 + 
     256*T1^12*T2^6 + 228*T1*T2^7 - 736*T1^2*T2^7 - 1059*T1^3*T2^7 + 
     2712*T1^4*T2^7 - 1654*T1^5*T2^7 + 288*T1^6*T2^7 + 72*T1^7*T2^7 - 
     1750*T1^8*T2^7 - 2256*T1^9*T2^7 + 3741*T1^10*T2^7 - 848*T1^11*T2^7 - 
     892*T1^12*T2^7 - 16*T1^2*T2^8 + 1484*T1^3*T2^8 - 937*T1^4*T2^8 - 
     2184*T1^5*T2^8 + 3574*T1^6*T2^8 - 1750*T1^7*T2^8 + 1426*T1^8*T2^8 + 
     2568*T1^9*T2^8 - 2305*T1^10*T2^8 - 868*T1^11*T2^8 + 1520*T1^12*T2^8 - 
     408*T1^3*T2^9 - 1204*T1^4*T2^9 + 2973*T1^5*T2^9 - 1256*T1^6*T2^9 - 
     2256*T1^7*T2^9 + 2568*T1^8*T2^9 - 3980*T1^9*T2^9 + 1245*T1^10*T2^9 + 
     1988*T1^11*T2^9 - 1704*T1^12*T2^9 + 752*T1^4*T2^10 - 288*T1^5*T2^10 - 
     2201*T1^6*T2^10 + 3741*T1^7*T2^10 - 2305*T1^8*T2^10 + 1245*T1^9*T2^10 + 
     1639*T1^10*T2^10 - 2976*T1^11*T2^10 + 1520*T1^12*T2^10 - 
     668*T1^5*T2^11 + 1434*T1^6*T2^11 - 848*T1^7*T2^11 - 868*T1^8*T2^11 + 
     1988*T1^9*T2^11 - 2976*T1^10*T2^11 + 2442*T1^11*T2^11 - 
     892*T1^12*T2^11 + 256*T1^6*T2^12 - 892*T1^7*T2^12 + 1520*T1^8*T2^12 - 
     1704*T1^9*T2^12 + 1520*T1^10*T2^12 - 892*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 761] -> 
  {(4 - 16*T + 31*T^2 - 37*T^3 + 31*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-128 + 520*T1 - 1020*T1^2 + 1224*T1^3 - 1020*T1^4 + 520*T1^5 - 128*T1^6 + 
     520*T2 - 1840*T1*T2 + 3036*T1^2*T2 - 2800*T1^3*T2 + 1552*T1^4*T2 + 
     28*T1^5*T2 - 560*T1^6*T2 + 264*T1^7*T2 - 1020*T2^2 + 3036*T1*T2^2 - 
     3724*T1^2*T2^2 + 1332*T1^3*T2^2 + 1672*T1^4*T2^2 - 3876*T1^5*T2^2 + 
     2972*T1^6*T2^2 - 932*T1^7*T2^2 - 28*T1^8*T2^2 + 1224*T2^3 - 
     2800*T1*T2^3 + 1332*T1^2*T2^3 + 3634*T1^3*T2^3 - 6560*T1^4*T2^3 + 
     6300*T1^5*T2^3 - 1474*T1^6*T2^3 - 2512*T1^7*T2^3 + 2320*T1^8*T2^3 - 
     552*T1^9*T2^3 - 1020*T2^4 + 1552*T1*T2^4 + 1672*T1^2*T2^4 - 
     6560*T1^3*T2^4 + 5943*T1^4*T2^4 - 1235*T1^5*T2^4 - 5529*T1^6*T2^4 + 
     7056*T1^7*T2^4 - 1896*T1^8*T2^4 - 1648*T1^9*T2^4 + 964*T1^10*T2^4 + 
     520*T2^5 + 28*T1*T2^5 - 3876*T1^2*T2^5 + 6300*T1^3*T2^5 - 
     1235*T1^4*T2^5 - 5721*T1^5*T2^5 + 8739*T1^6*T2^5 - 4056*T1^7*T2^5 - 
     5048*T1^8*T2^5 + 5424*T1^9*T2^5 - 804*T1^10*T2^5 - 760*T1^11*T2^5 - 
     128*T2^6 - 560*T1*T2^6 + 2972*T1^2*T2^6 - 1474*T1^3*T2^6 - 
     5529*T1^4*T2^6 + 8739*T1^5*T2^6 - 3060*T1^6*T2^6 - 5511*T1^7*T2^6 + 
     11453*T1^8*T2^6 - 4034*T1^9*T2^6 - 2748*T1^10*T2^6 + 2000*T1^11*T2^6 + 
     256*T1^12*T2^6 + 264*T1*T2^7 - 932*T1^2*T2^7 - 2512*T1^3*T2^7 + 
     7056*T1^4*T2^7 - 4056*T1^5*T2^7 - 5511*T1^6*T2^7 + 8949*T1^7*T2^7 - 
     6877*T1^8*T2^7 - 4292*T1^9*T2^7 + 6788*T1^10*T2^7 - 1764*T1^11*T2^7 - 
     1016*T1^12*T2^7 - 28*T1^2*T2^8 + 2320*T1^3*T2^8 - 1896*T1^4*T2^8 - 
     5048*T1^5*T2^8 + 11453*T1^6*T2^8 - 6877*T1^7*T2^8 - 19*T1^8*T2^8 + 
     8568*T1^9*T2^8 - 5464*T1^10*T2^8 - 880*T1^11*T2^8 + 1956*T1^12*T2^8 - 
     552*T1^3*T2^9 - 1648*T1^4*T2^9 + 5424*T1^5*T2^9 - 4034*T1^6*T2^9 - 
     4292*T1^7*T2^9 + 8568*T1^8*T2^9 - 9142*T1^9*T2^9 + 1580*T1^10*T2^9 + 
     3472*T1^11*T2^9 - 2328*T1^12*T2^9 + 964*T1^4*T2^10 - 804*T1^5*T2^10 - 
     2748*T1^6*T2^10 + 6788*T1^7*T2^10 - 5464*T1^8*T2^10 + 1580*T1^9*T2^10 + 
     3948*T1^10*T2^10 - 4772*T1^11*T2^10 + 1956*T1^12*T2^10 - 
     760*T1^5*T2^11 + 2000*T1^6*T2^11 - 1764*T1^7*T2^11 - 880*T1^8*T2^11 + 
     3472*T1^9*T2^11 - 4772*T1^10*T2^11 + 3280*T1^11*T2^11 - 
     1016*T1^12*T2^11 + 256*T1^6*T2^12 - 1016*T1^7*T2^12 + 1956*T1^8*T2^12 - 
     2328*T1^9*T2^12 + 1956*T1^10*T2^12 - 1016*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 762] -> 
  {-(((1 - T - T^2 - T^3 + T^4)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -((-57 + 171*T1 - 199*T1^2 + 199*T1^3 - 199*T1^4 + 199*T1^5 - 199*T1^6 + 
      171*T1^7 - 57*T1^8 + 171*T2 - 366*T1*T2 + 156*T1^2*T2 - 84*T1^3*T2 + 
      84*T1^4*T2 - 84*T1^5*T2 + 84*T1^6*T2 - 270*T1^8*T2 + 147*T1^9*T2 - 
      199*T2^2 + 156*T1*T2^2 + 491*T1^2*T2^2 - 437*T1^3*T2^2 + 
      371*T1^4*T2^2 - 371*T1^5*T2^2 + 371*T1^6*T2^2 - 465*T1^7*T2^2 + 
      631*T1^8*T2^2 - 12*T1^9*T2^2 - 143*T1^10*T2^2 + 199*T2^3 - 84*T1*T2^3 - 
      437*T1^2*T2^3 - 28*T1^3*T2^3 + 44*T1^4*T2^3 + 86*T1^7*T2^3 - 
      196*T1^8*T2^3 - 395*T1^9*T2^3 + 84*T1^10*T2^3 + 115*T1^11*T2^3 - 
      199*T2^4 + 84*T1*T2^4 + 371*T1^2*T2^4 + 44*T1^3*T2^4 + 218*T1^4*T2^4 - 
      248*T1^5*T2^4 + 224*T1^6*T2^4 - 304*T1^7*T2^4 + 414*T1^8*T2^4 + 
      72*T1^9*T2^4 + 259*T1^10*T2^4 - 84*T1^11*T2^4 - 87*T1^12*T2^4 + 
      199*T2^5 - 84*T1*T2^5 - 371*T1^2*T2^5 - 248*T1^4*T2^5 + 105*T1^5*T2^5 - 
      47*T1^6*T2^5 + 121*T1^7*T2^5 - 217*T1^8*T2^5 - 241*T1^9*T2^5 - 
      203*T1^11*T2^5 + 84*T1^12*T2^5 + 59*T1^13*T2^5 - 199*T2^6 + 
      84*T1*T2^6 + 371*T1^2*T2^6 + 224*T1^4*T2^6 - 47*T1^5*T2^6 + 
      36*T1^6*T2^6 - 174*T1^7*T2^6 + 288*T1^8*T2^6 + 107*T1^9*T2^6 + 
      126*T1^10*T2^6 + 147*T1^12*T2^6 - 84*T1^13*T2^6 - 31*T1^14*T2^6 + 
      171*T2^7 - 465*T1^2*T2^7 + 86*T1^3*T2^7 - 304*T1^4*T2^7 + 
      121*T1^5*T2^7 - 174*T1^6*T2^7 + 358*T1^7*T2^7 - 328*T1^8*T2^7 - 
      97*T1^9*T2^7 - 75*T1^10*T2^7 - 59*T1^11*T2^7 - 12*T1^12*T2^7 - 
      87*T1^13*T2^7 + 84*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 270*T1*T2^8 + 
      631*T1^2*T2^8 - 196*T1^3*T2^8 + 414*T1^4*T2^8 - 217*T1^5*T2^8 + 
      288*T1^6*T2^8 - 328*T1^7*T2^8 - 12*T1^8*T2^8 + 364*T1^9*T2^8 - 
      118*T1^10*T2^8 + 189*T1^11*T2^8 - 90*T1^12*T2^8 + 112*T1^13*T2^8 - 
      49*T1^14*T2^8 - 30*T1^15*T2^8 + 7*T1^16*T2^8 + 147*T1*T2^9 - 
      12*T1^2*T2^9 - 395*T1^3*T2^9 + 72*T1^4*T2^9 - 241*T1^5*T2^9 + 
      107*T1^6*T2^9 - 97*T1^7*T2^9 + 364*T1^8*T2^9 - 322*T1^9*T2^9 - 
      20*T1^10*T2^9 - 89*T1^11*T2^9 + 4*T1^12*T2^9 - 26*T1^13*T2^9 - 
      17*T1^14*T2^9 + 72*T1^15*T2^9 - 21*T1^16*T2^9 - 143*T1^2*T2^10 + 
      84*T1^3*T2^10 + 259*T1^4*T2^10 + 126*T1^6*T2^10 - 75*T1^7*T2^10 - 
      118*T1^8*T2^10 - 20*T1^9*T2^10 + 134*T1^10*T2^10 + 79*T1^11*T2^10 + 
      28*T1^12*T2^10 + 35*T1^14*T2^10 - 84*T1^15*T2^10 + 25*T1^16*T2^10 + 
      115*T1^3*T2^11 - 84*T1^4*T2^11 - 203*T1^5*T2^11 - 59*T1^7*T2^11 + 
      189*T1^8*T2^11 - 89*T1^9*T2^11 + 79*T1^10*T2^11 - 133*T1^11*T2^11 - 
      52*T1^12*T2^11 - 35*T1^14*T2^11 + 84*T1^15*T2^11 - 25*T1^16*T2^11 - 
      87*T1^4*T2^12 + 84*T1^5*T2^12 + 147*T1^6*T2^12 - 12*T1^7*T2^12 - 
      90*T1^8*T2^12 + 4*T1^9*T2^12 + 28*T1^10*T2^12 - 52*T1^11*T2^12 + 
      106*T1^12*T2^12 + 16*T1^13*T2^12 + 35*T1^14*T2^12 - 84*T1^15*T2^12 + 
      25*T1^16*T2^12 + 59*T1^5*T2^13 - 84*T1^6*T2^13 - 87*T1^7*T2^13 + 
      112*T1^8*T2^13 - 26*T1^9*T2^13 + 16*T1^12*T2^13 - 56*T1^13*T2^13 - 
      45*T1^14*T2^13 + 84*T1^15*T2^13 - 25*T1^16*T2^13 - 31*T1^6*T2^14 + 
      84*T1^7*T2^14 - 49*T1^8*T2^14 - 17*T1^9*T2^14 + 35*T1^10*T2^14 - 
      35*T1^11*T2^14 + 35*T1^12*T2^14 - 45*T1^13*T2^14 + 91*T1^14*T2^14 - 
      84*T1^15*T2^14 + 25*T1^16*T2^14 + 3*T1^7*T2^15 - 30*T1^8*T2^15 + 
      72*T1^9*T2^15 - 84*T1^10*T2^15 + 84*T1^11*T2^15 - 84*T1^12*T2^15 + 
      84*T1^13*T2^15 - 84*T1^14*T2^15 + 66*T1^15*T2^15 - 21*T1^16*T2^15 + 
      7*T1^8*T2^16 - 21*T1^9*T2^16 + 25*T1^10*T2^16 - 25*T1^11*T2^16 + 
      25*T1^12*T2^16 - 25*T1^13*T2^16 + 25*T1^14*T2^16 - 21*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 763] -> 
  {-((4 - 14*T + 20*T^2 - 21*T^3 + 20*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((-336 + 1172*T1 - 1664*T1^2 + 1744*T1^3 - 1664*T1^4 + 1172*T1^5 - 
      336*T1^6 + 1172*T2 - 3142*T1*T2 + 2504*T1^2*T2 - 1400*T1^3*T2 + 
      896*T1^4*T2 + 600*T1^5*T2 - 2134*T1^6*T2 + 948*T1^7*T2 - 1664*T2^2 + 
      2504*T1*T2^2 + 2299*T1^2*T2^2 - 4343*T1^3*T2^2 + 4117*T1^4*T2^2 - 
      5463*T1^5*T2^2 + 4859*T1^6*T2^2 + 264*T1^7*T2^2 - 1024*T1^8*T2^2 + 
      1744*T2^3 - 1400*T1*T2^3 - 4343*T1^2*T2^3 + 3012*T1^3*T2^3 - 
      902*T1^4*T2^3 + 2010*T1^5*T2^3 - 208*T1^6*T2^3 - 4343*T1^7*T2^3 + 
      1008*T1^8*T2^3 + 736*T1^9*T2^3 - 1664*T2^4 + 896*T1*T2^4 + 
      4117*T1^2*T2^4 - 902*T1^3*T2^4 - 202*T1^4*T2^4 - 2056*T1^5*T2^4 + 
      802*T1^6*T2^4 + 1786*T1^7*T2^4 + 2285*T1^8*T2^4 - 1232*T1^9*T2^4 - 
      384*T1^10*T2^4 + 1172*T2^5 + 600*T1*T2^5 - 5463*T1^2*T2^5 + 
      2010*T1^3*T2^5 - 2056*T1^4*T2^5 + 4276*T1^5*T2^5 - 2024*T1^6*T2^5 - 
      936*T1^7*T2^5 - 1350*T1^8*T2^5 - 983*T1^9*T2^5 + 1160*T1^10*T2^5 + 
      52*T1^11*T2^5 - 336*T2^6 - 2134*T1*T2^6 + 4859*T1^2*T2^6 - 
      208*T1^3*T2^6 + 802*T1^4*T2^6 - 2024*T1^5*T2^6 - 1596*T1^6*T2^6 + 
      3576*T1^7*T2^6 - 942*T1^8*T2^6 + 2256*T1^9*T2^6 - 997*T1^10*T2^6 - 
      342*T1^11*T2^6 + 48*T1^12*T2^6 + 948*T1*T2^7 + 264*T1^2*T2^7 - 
      4343*T1^3*T2^7 + 1786*T1^4*T2^7 - 936*T1^5*T2^7 + 3576*T1^6*T2^7 - 
      2724*T1^7*T2^7 + 184*T1^8*T2^7 - 1574*T1^9*T2^7 + 137*T1^10*T2^7 + 
      824*T1^11*T2^7 - 172*T1^12*T2^7 - 1024*T1^2*T2^8 + 1008*T1^3*T2^8 + 
      2285*T1^4*T2^8 - 1350*T1^5*T2^8 - 942*T1^6*T2^8 + 184*T1^7*T2^8 + 
      62*T1^8*T2^8 + 1338*T1^9*T2^8 + 453*T1^10*T2^8 - 1120*T1^11*T2^8 + 
      256*T1^12*T2^8 + 736*T1^3*T2^9 - 1232*T1^4*T2^9 - 983*T1^5*T2^9 + 
      2256*T1^6*T2^9 - 1574*T1^7*T2^9 + 1338*T1^8*T2^9 - 964*T1^9*T2^9 - 
      983*T1^10*T2^9 + 1176*T1^11*T2^9 - 272*T1^12*T2^9 - 384*T1^4*T2^10 + 
      1160*T1^5*T2^10 - 997*T1^6*T2^10 + 137*T1^7*T2^10 + 453*T1^8*T2^10 - 
      983*T1^9*T2^10 + 1563*T1^10*T2^10 - 1080*T1^11*T2^10 + 
      256*T1^12*T2^10 + 52*T1^5*T2^11 - 342*T1^6*T2^11 + 824*T1^7*T2^11 - 
      1120*T1^8*T2^11 + 1176*T1^9*T2^11 - 1080*T1^10*T2^11 + 
      666*T1^11*T2^11 - 172*T1^12*T2^11 + 48*T1^6*T2^12 - 172*T1^7*T2^12 + 
      256*T1^8*T2^12 - 272*T1^9*T2^12 + 256*T1^10*T2^12 - 172*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 764] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   -((-336 + 1336*T1 - 2404*T1^2 + 2896*T1^3 - 2404*T1^4 + 1336*T1^5 - 
      336*T1^6 + 1336*T2 - 4240*T1*T2 + 5292*T1^2*T2 - 3824*T1^3*T2 + 
      272*T1^4*T2 + 2412*T1^5*T2 - 2960*T1^6*T2 + 1080*T1^7*T2 - 2404*T2^2 + 
      5292*T1*T2^2 - 1600*T1^2*T2^2 - 4364*T1^3*T2^2 + 9648*T1^4*T2^2 - 
      8772*T1^5*T2^2 + 4200*T1^6*T2^2 + 1580*T1^7*T2^2 - 1476*T1^8*T2^2 + 
      2896*T2^3 - 3824*T1*T2^3 - 4364*T1^2*T2^3 + 8990*T1^3*T2^3 - 
      9208*T1^4*T2^3 + 1588*T1^5*T2^3 + 4490*T1^6*T2^3 - 7264*T1^7*T2^3 + 
      1040*T1^8*T2^3 + 1216*T1^9*T2^3 - 2404*T2^4 + 272*T1*T2^4 + 
      9648*T1^2*T2^4 - 9208*T1^3*T2^4 + 4901*T1^4*T2^4 + 3761*T1^5*T2^4 - 
      4779*T1^6*T2^4 + 2552*T1^7*T2^4 + 5184*T1^8*T2^4 - 2672*T1^9*T2^4 - 
      548*T1^10*T2^4 + 1336*T2^5 + 2412*T1*T2^5 - 8772*T1^2*T2^5 + 
      1588*T1^3*T2^5 + 3761*T1^4*T2^5 - 7343*T1^5*T2^5 + 1377*T1^6*T2^5 + 
      3094*T1^7*T2^5 - 7280*T1^8*T2^5 + 160*T1^9*T2^5 + 1964*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2960*T1*T2^6 + 4200*T1^2*T2^6 + 
      4490*T1^3*T2^6 - 4779*T1^4*T2^6 + 1377*T1^5*T2^6 + 6144*T1^6*T2^6 - 
      6517*T1^7*T2^6 + 4215*T1^8*T2^6 + 3914*T1^9*T2^6 - 2672*T1^10*T2^6 - 
      400*T1^11*T2^6 + 48*T1^12*T2^6 + 1080*T1*T2^7 + 1580*T1^2*T2^7 - 
      7264*T1^3*T2^7 + 2552*T1^4*T2^7 + 3094*T1^5*T2^7 - 6517*T1^6*T2^7 + 
      2203*T1^7*T2^7 + 2427*T1^8*T2^7 - 6316*T1^9*T2^7 + 1668*T1^10*T2^7 + 
      1132*T1^11*T2^7 - 200*T1^12*T2^7 - 1476*T1^2*T2^8 + 1040*T1^3*T2^8 + 
      5184*T1^4*T2^8 - 7280*T1^5*T2^8 + 4215*T1^6*T2^8 + 2427*T1^7*T2^8 - 
      5465*T1^8*T2^8 + 4480*T1^9*T2^8 + 720*T1^10*T2^8 - 1904*T1^11*T2^8 + 
      380*T1^12*T2^8 + 1216*T1^3*T2^9 - 2672*T1^4*T2^9 + 160*T1^5*T2^9 + 
      3914*T1^6*T2^9 - 6316*T1^7*T2^9 + 4480*T1^8*T2^9 - 586*T1^9*T2^9 - 
      2740*T1^10*T2^9 + 2192*T1^11*T2^9 - 464*T1^12*T2^9 - 548*T1^4*T2^10 + 
      1964*T1^5*T2^10 - 2672*T1^6*T2^10 + 1668*T1^7*T2^10 + 720*T1^8*T2^10 - 
      2740*T1^9*T2^10 + 3128*T1^10*T2^10 - 1748*T1^11*T2^10 + 
      380*T1^12*T2^10 + 56*T1^5*T2^11 - 400*T1^6*T2^11 + 1132*T1^7*T2^11 - 
      1904*T1^8*T2^11 + 2192*T1^9*T2^11 - 1748*T1^10*T2^11 + 
      880*T1^11*T2^11 - 200*T1^12*T2^11 + 48*T1^6*T2^12 - 200*T1^7*T2^12 + 
      380*T1^8*T2^12 - 464*T1^9*T2^12 + 380*T1^10*T2^12 - 200*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 765] -> 
  {(1 - 9*T + 31*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 31*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 124*T1^2 + 240*T1^3 - 300*T1^4 + 240*T1^5 - 124*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 873*T1^2*T2 - 1323*T1^3*T2 + 
     1080*T1^4*T2 - 135*T1^5*T2 - 504*T1^6*T2 + 513*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 124*T2^2 + 873*T1*T2^2 - 1724*T1^2*T2^2 + 486*T1^3*T2^2 + 
     3316*T1^4*T2^2 - 7012*T1^5*T2^2 + 6044*T1^6*T2^2 - 2676*T1^7*T2^2 + 
     136*T1^8*T2^2 + 315*T1^9*T2^2 - 62*T1^10*T2^2 + 240*T2^3 - 
     1323*T1*T2^3 + 486*T1^2*T2^3 + 6517*T1^3*T2^3 - 15368*T1^4*T2^3 + 
     16705*T1^5*T2^3 - 4580*T1^6*T2^3 - 5099*T1^7*T2^3 + 6337*T1^8*T2^3 - 
     2304*T1^9*T2^3 + 18*T1^10*T2^3 + 60*T1^11*T2^3 - 300*T2^4 + 
     1080*T1*T2^4 + 3316*T1^2*T2^4 - 15368*T1^3*T2^4 + 19958*T1^4*T2^4 - 
     5153*T1^5*T2^4 - 23444*T1^6*T2^4 + 27067*T1^7*T2^4 - 12922*T1^8*T2^4 - 
     968*T1^9*T2^4 + 2896*T1^10*T2^4 - 540*T1^11*T2^4 + 240*T2^5 - 
     135*T1*T2^5 - 7012*T1^2*T2^5 + 16705*T1^3*T2^5 - 5153*T1^4*T2^5 - 
     27475*T1^5*T2^5 + 53490*T1^6*T2^5 - 25335*T1^7*T2^5 - 10015*T1^8*T2^5 + 
     21472*T1^9*T2^5 - 9470*T1^10*T2^5 + 53*T1^11*T2^5 + 540*T1^12*T2^5 - 
     60*T1^13*T2^5 - 124*T2^6 - 504*T1*T2^6 + 6044*T1^2*T2^6 - 
     4580*T1^3*T2^6 - 23444*T1^4*T2^6 + 53490*T1^5*T2^6 - 45118*T1^6*T2^6 - 
     22166*T1^7*T2^6 + 54902*T1^8*T2^6 - 34980*T1^9*T2^6 + 406*T1^10*T2^6 + 
     9370*T1^11*T2^6 - 2980*T1^12*T2^6 - 18*T1^13*T2^6 + 62*T1^14*T2^6 + 
     36*T2^7 + 513*T1*T2^7 - 2676*T1^2*T2^7 - 5099*T1^3*T2^7 + 
     27067*T1^4*T2^7 - 25335*T1^5*T2^7 - 22166*T1^6*T2^7 + 86260*T1^7*T2^7 - 
     68630*T1^8*T2^7 + 1756*T1^9*T2^7 + 34200*T1^10*T2^7 - 21938*T1^11*T2^7 + 
     1156*T1^12*T2^7 + 2346*T1^13*T2^7 - 315*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 136*T1^2*T2^8 + 6337*T1^3*T2^8 - 
     12922*T1^4*T2^8 - 10015*T1^5*T2^8 + 54902*T1^6*T2^8 - 68630*T1^7*T2^8 + 
     2112*T1^8*T2^8 + 66634*T1^9*T2^8 - 56754*T1^10*T2^8 + 11315*T1^11*T2^8 + 
     12882*T1^12*T2^8 - 6473*T1^13*T2^8 - 146*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 315*T1^2*T2^9 - 2304*T1^3*T2^9 - 
     968*T1^4*T2^9 + 21472*T1^5*T2^9 - 34980*T1^6*T2^9 + 1756*T1^7*T2^9 + 
     66634*T1^8*T2^9 - 88256*T1^9*T2^9 + 25678*T1^10*T2^9 + 
     24555*T1^11*T2^9 - 27533*T1^12*T2^9 + 5287*T1^13*T2^9 + 
     2718*T1^14*T2^9 - 513*T1^15*T2^9 - 36*T1^16*T2^9 - 62*T1^2*T2^10 + 
     18*T1^3*T2^10 + 2896*T1^4*T2^10 - 9470*T1^5*T2^10 + 406*T1^6*T2^10 + 
     34200*T1^7*T2^10 - 56754*T1^8*T2^10 + 25678*T1^9*T2^10 + 
     43266*T1^10*T2^10 - 54270*T1^11*T2^10 + 24256*T1^12*T2^10 + 
     4480*T1^13*T2^10 - 6128*T1^14*T2^10 + 504*T1^15*T2^10 + 
     124*T1^16*T2^10 + 60*T1^3*T2^11 - 540*T1^4*T2^11 + 53*T1^5*T2^11 + 
     9370*T1^6*T2^11 - 21938*T1^7*T2^11 + 11315*T1^8*T2^11 + 
     24555*T1^9*T2^11 - 54270*T1^10*T2^11 + 28775*T1^11*T2^11 + 
     4687*T1^12*T2^11 - 16805*T1^13*T2^11 + 7118*T1^14*T2^11 + 
     135*T1^15*T2^11 - 240*T1^16*T2^11 + 540*T1^5*T2^12 - 2980*T1^6*T2^12 + 
     1156*T1^7*T2^12 + 12882*T1^8*T2^12 - 27533*T1^9*T2^12 + 
     24256*T1^10*T2^12 + 4687*T1^11*T2^12 - 19998*T1^12*T2^12 + 
     15556*T1^13*T2^12 - 3400*T1^14*T2^12 - 1080*T1^15*T2^12 + 
     300*T1^16*T2^12 - 60*T1^5*T2^13 - 18*T1^6*T2^13 + 2346*T1^7*T2^13 - 
     6473*T1^8*T2^13 + 5287*T1^9*T2^13 + 4480*T1^10*T2^13 - 
     16805*T1^11*T2^13 + 15556*T1^12*T2^13 - 6653*T1^13*T2^13 - 
     444*T1^14*T2^13 + 1323*T1^15*T2^13 - 240*T1^16*T2^13 + 62*T1^6*T2^14 - 
     315*T1^7*T2^14 - 146*T1^8*T2^14 + 2718*T1^9*T2^14 - 6128*T1^10*T2^14 + 
     7118*T1^11*T2^14 - 3400*T1^12*T2^14 - 444*T1^13*T2^14 + 
     1714*T1^14*T2^14 - 873*T1^15*T2^14 + 124*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 513*T1^9*T2^15 + 504*T1^10*T2^15 + 135*T1^11*T2^15 - 
     1080*T1^12*T2^15 + 1323*T1^13*T2^15 - 873*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     124*T1^10*T2^16 - 240*T1^11*T2^16 + 300*T1^12*T2^16 - 240*T1^13*T2^16 + 
     124*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 766] -> 
  {((1 - T + T^2)*(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6))/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 180*T1^3 - 220*T1^4 + 180*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 607*T1^2*T2 - 838*T1^3*T2 + 
     679*T1^4*T2 - 121*T1^5*T2 - 278*T1^6*T2 + 343*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 607*T1*T2^2 - 1015*T1^2*T2^2 + 128*T1^3*T2^2 + 
     1817*T1^4*T2^2 - 3711*T1^5*T2^2 + 3317*T1^6*T2^2 - 1722*T1^7*T2^2 + 
     185*T1^8*T2^2 + 207*T1^9*T2^2 - 50*T1^10*T2^2 + 180*T2^3 - 838*T1*T2^3 + 
     128*T1^2*T2^3 + 3599*T1^3*T2^3 - 7233*T1^4*T2^3 + 7896*T1^5*T2^3 - 
     2654*T1^6*T2^3 - 1738*T1^7*T2^3 + 3209*T1^8*T2^3 - 1447*T1^9*T2^3 + 
     42*T1^10*T2^3 + 45*T1^11*T2^3 - 220*T2^4 + 679*T1*T2^4 + 
     1817*T1^2*T2^4 - 7233*T1^3*T2^4 + 8129*T1^4*T2^4 - 2943*T1^5*T2^4 - 
     8261*T1^6*T2^4 + 10517*T1^7*T2^4 - 6631*T1^8*T2^4 + 147*T1^9*T2^4 + 
     1557*T1^10*T2^4 - 361*T1^11*T2^4 + 180*T2^5 - 121*T1*T2^5 - 
     3711*T1^2*T2^5 + 7896*T1^3*T2^5 - 2943*T1^4*T2^5 - 6984*T1^5*T2^5 + 
     17542*T1^6*T2^5 - 9983*T1^7*T2^5 - 1044*T1^8*T2^5 + 8277*T1^9*T2^5 - 
     4854*T1^10*T2^5 + 99*T1^11*T2^5 + 359*T1^12*T2^5 - 45*T1^13*T2^5 - 
     100*T2^6 - 278*T1*T2^6 + 3317*T1^2*T2^6 - 2654*T1^3*T2^6 - 
     8261*T1^4*T2^6 + 17542*T1^5*T2^6 - 18739*T1^6*T2^6 - 1247*T1^7*T2^6 + 
     14081*T1^8*T2^6 - 13198*T1^9*T2^6 + 1189*T1^10*T2^6 + 4596*T1^11*T2^6 - 
     1703*T1^12*T2^6 - 38*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     343*T1*T2^7 - 1722*T1^2*T2^7 - 1738*T1^3*T2^7 + 10517*T1^4*T2^7 - 
     9983*T1^5*T2^7 - 1247*T1^6*T2^7 + 22202*T1^7*T2^7 - 21544*T1^8*T2^7 + 
     3978*T1^9*T2^7 + 11112*T1^10*T2^7 - 9663*T1^11*T2^7 + 307*T1^12*T2^7 + 
     1503*T1^13*T2^7 - 209*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 185*T1^2*T2^8 + 3209*T1^3*T2^8 - 6631*T1^4*T2^8 - 
     1044*T1^5*T2^8 + 14081*T1^6*T2^8 - 21544*T1^7*T2^8 + 5484*T1^8*T2^8 + 
     16608*T1^9*T2^8 - 17849*T1^10*T2^8 + 4416*T1^11*T2^8 + 6629*T1^12*T2^8 - 
     3501*T1^13*T2^8 - 187*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 207*T1^2*T2^9 - 1447*T1^3*T2^9 + 147*T1^4*T2^9 + 
     8277*T1^5*T2^9 - 13198*T1^6*T2^9 + 3978*T1^7*T2^9 + 16608*T1^8*T2^9 - 
     27138*T1^9*T2^9 + 9203*T1^10*T2^9 + 7897*T1^11*T2^9 - 11903*T1^12*T2^9 + 
     2192*T1^13*T2^9 + 1778*T1^14*T2^9 - 345*T1^15*T2^9 - 32*T1^16*T2^9 - 
     50*T1^2*T2^10 + 42*T1^3*T2^10 + 1557*T1^4*T2^10 - 4854*T1^5*T2^10 + 
     1189*T1^6*T2^10 + 11112*T1^7*T2^10 - 17849*T1^8*T2^10 + 
     9203*T1^9*T2^10 + 14971*T1^10*T2^10 - 19628*T1^11*T2^10 + 
     10639*T1^12*T2^10 + 2396*T1^13*T2^10 - 3463*T1^14*T2^10 + 
     282*T1^15*T2^10 + 100*T1^16*T2^10 + 45*T1^3*T2^11 - 361*T1^4*T2^11 + 
     99*T1^5*T2^11 + 4596*T1^6*T2^11 - 9663*T1^7*T2^11 + 4416*T1^8*T2^11 + 
     7897*T1^9*T2^11 - 19628*T1^10*T2^11 + 10356*T1^11*T2^11 + 
     1557*T1^12*T2^11 - 8154*T1^13*T2^11 + 3909*T1^14*T2^11 + 
     119*T1^15*T2^11 - 180*T1^16*T2^11 + 359*T1^5*T2^12 - 1703*T1^6*T2^12 + 
     307*T1^7*T2^12 + 6629*T1^8*T2^12 - 11903*T1^9*T2^12 + 
     10639*T1^10*T2^12 + 1557*T1^11*T2^12 - 8131*T1^12*T2^12 + 
     7687*T1^13*T2^12 - 1963*T1^14*T2^12 - 681*T1^15*T2^12 + 
     220*T1^16*T2^12 - 45*T1^5*T2^13 - 38*T1^6*T2^13 + 1503*T1^7*T2^13 - 
     3501*T1^8*T2^13 + 2192*T1^9*T2^13 + 2396*T1^10*T2^13 - 
     8154*T1^11*T2^13 + 7687*T1^12*T2^13 - 3891*T1^13*T2^13 - 
     72*T1^14*T2^13 + 842*T1^15*T2^13 - 180*T1^16*T2^13 + 50*T1^6*T2^14 - 
     209*T1^7*T2^14 - 187*T1^8*T2^14 + 1778*T1^9*T2^14 - 3463*T1^10*T2^14 + 
     3909*T1^11*T2^14 - 1963*T1^12*T2^14 - 72*T1^13*T2^14 + 
     1013*T1^14*T2^14 - 609*T1^15*T2^14 + 100*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 345*T1^9*T2^15 + 282*T1^10*T2^15 + 119*T1^11*T2^15 - 
     681*T1^12*T2^15 + 842*T1^13*T2^15 - 609*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 100*T1^10*T2^16 - 
     180*T1^11*T2^16 + 220*T1^12*T2^16 - 180*T1^13*T2^16 + 100*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 767] -> {-((8 - 31*T + 45*T^2 - 31*T^3 + 8*T^4)/T^2), 
   -((-1728 + 6656*T1 - 9616*T1^2 + 6656*T1^3 - 1728*T1^4 + 6656*T2 - 
      20982*T1*T2 + 19110*T1^2*T2 + 262*T1^3*T2 - 11310*T1^4*T2 + 
      4672*T1^5*T2 - 9616*T2^2 + 19110*T1*T2^2 + 11641*T1^2*T2^2 - 
      47907*T1^3*T2^2 + 38281*T1^4*T2^2 - 3210*T1^5*T2^2 - 3856*T1^6*T2^2 + 
      6656*T2^3 + 262*T1*T2^3 - 47907*T1^2*T2^3 + 62621*T1^3*T2^3 - 
      14383*T1^4*T2^3 - 26982*T1^5*T2^3 + 12166*T1^6*T2^3 + 704*T1^7*T2^3 - 
      1728*T2^4 - 11310*T1*T2^4 + 38281*T1^2*T2^4 - 14383*T1^3*T2^4 - 
      39936*T1^4*T2^4 + 48795*T1^5*T2^4 - 9781*T1^6*T2^4 - 3870*T1^7*T2^4 + 
      320*T1^8*T2^4 + 4672*T1*T2^5 - 3210*T1^2*T2^5 - 26982*T1^3*T2^5 + 
      48795*T1^4*T2^5 - 28209*T1^5*T2^5 - 6057*T1^6*T2^5 + 8694*T1^7*T2^5 - 
      1280*T1^8*T2^5 - 3856*T1^2*T2^6 + 12166*T1^3*T2^6 - 9781*T1^4*T2^6 - 
      6057*T1^5*T2^6 + 16859*T1^6*T2^6 - 10154*T1^7*T2^6 + 1904*T1^8*T2^6 + 
      704*T1^3*T2^7 - 3870*T1^4*T2^7 + 8694*T1^5*T2^7 - 10154*T1^6*T2^7 + 
      5802*T1^7*T2^7 - 1280*T1^8*T2^7 + 320*T1^4*T2^8 - 1280*T1^5*T2^8 + 
      1904*T1^6*T2^8 - 1280*T1^7*T2^8 + 320*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 768] -> 
  {-((1 - 8*T + 23*T^2 - 38*T^3 + 43*T^4 - 38*T^5 + 23*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 69*T1^2 + 114*T1^3 - 129*T1^4 + 114*T1^5 - 
      69*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 425*T1^2*T2 - 
      546*T1^3*T2 + 425*T1^4*T2 - 223*T1^5*T2 - 58*T1^6*T2 + 177*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 69*T2^2 + 425*T1*T2^2 - 591*T1^2*T2^2 - 
      139*T1^3*T2^2 + 1386*T1^4*T2^2 - 2031*T1^5*T2^2 + 2306*T1^6*T2^2 - 
      1519*T1^7*T2^2 + 421*T1^8*T2^2 + 57*T1^9*T2^2 - 23*T1^10*T2^2 + 
      114*T2^3 - 546*T1*T2^3 - 139*T1^2*T2^3 + 2680*T1^3*T2^3 - 
      4862*T1^4*T2^3 + 4479*T1^5*T2^3 - 3471*T1^6*T2^3 + 548*T1^7*T2^3 + 
      1422*T1^8*T2^3 - 1105*T1^9*T2^3 + 182*T1^10*T2^3 - 129*T2^4 + 
      425*T1*T2^4 + 1386*T1^2*T2^4 - 4862*T1^3*T2^4 + 5465*T1^4*T2^4 - 
      1800*T1^5*T2^4 - 891*T1^6*T2^4 + 5200*T1^7*T2^4 - 5551*T1^8*T2^4 + 
      1978*T1^9*T2^4 + 478*T1^10*T2^4 - 343*T1^11*T2^4 + 43*T1^12*T2^4 + 
      114*T2^5 - 223*T1*T2^5 - 2031*T1^2*T2^5 + 4479*T1^3*T2^5 - 
      1800*T1^4*T2^5 - 4174*T1^5*T2^5 + 5697*T1^6*T2^5 - 8035*T1^7*T2^5 + 
      3918*T1^8*T2^5 + 3184*T1^9*T2^5 - 4171*T1^10*T2^5 + 981*T1^11*T2^5 + 
      265*T1^12*T2^5 - 76*T1^13*T2^5 - 69*T2^6 - 58*T1*T2^6 + 
      2306*T1^2*T2^6 - 3471*T1^3*T2^6 - 891*T1^4*T2^6 + 5697*T1^5*T2^6 - 
      4041*T1^6*T2^6 + 4077*T1^7*T2^6 + 2075*T1^8*T2^6 - 7815*T1^9*T2^6 + 
      2351*T1^10*T2^6 + 3429*T1^11*T2^6 - 2270*T1^12*T2^6 + 54*T1^13*T2^6 + 
      69*T1^14*T2^6 + 24*T2^7 + 177*T1*T2^7 - 1519*T1^2*T2^7 + 
      548*T1^3*T2^7 + 5200*T1^4*T2^7 - 8035*T1^5*T2^7 + 4077*T1^6*T2^7 - 
      2536*T1^7*T2^7 - 2964*T1^8*T2^7 + 4621*T1^9*T2^7 + 6137*T1^10*T2^7 - 
      7848*T1^11*T2^7 + 858*T1^12*T2^7 + 1931*T1^13*T2^7 - 295*T1^14*T2^7 - 
      32*T1^15*T2^7 - 3*T2^8 - 104*T1*T2^8 + 421*T1^2*T2^8 + 1422*T1^3*T2^8 - 
      5551*T1^4*T2^8 + 3918*T1^5*T2^8 + 2075*T1^6*T2^8 - 2964*T1^7*T2^8 + 
      3228*T1^8*T2^8 - 300*T1^9*T2^8 - 10101*T1^10*T2^8 + 3254*T1^11*T2^8 + 
      5765*T1^12*T2^8 - 4090*T1^13*T2^8 - 351*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 57*T1^2*T2^9 - 1105*T1^3*T2^9 + 
      1978*T1^4*T2^9 + 3184*T1^5*T2^9 - 7815*T1^6*T2^9 + 4621*T1^7*T2^9 - 
      300*T1^8*T2^9 - 728*T1^9*T2^9 + 5165*T1^10*T2^9 + 6357*T1^11*T2^9 - 
      9864*T1^12*T2^9 + 2288*T1^13*T2^9 + 2345*T1^14*T2^9 - 415*T1^15*T2^9 - 
      40*T1^16*T2^9 - 23*T1^2*T2^10 + 182*T1^3*T2^10 + 478*T1^4*T2^10 - 
      4171*T1^5*T2^10 + 2351*T1^6*T2^10 + 6137*T1^7*T2^10 - 
      10101*T1^8*T2^10 + 5165*T1^9*T2^10 - 3985*T1^10*T2^10 - 
      7375*T1^11*T2^10 + 5593*T1^12*T2^10 + 2729*T1^13*T2^10 - 
      4098*T1^14*T2^10 + 294*T1^15*T2^10 + 115*T1^16*T2^10 - 343*T1^4*T2^11 + 
      981*T1^5*T2^11 + 3429*T1^6*T2^11 - 7848*T1^7*T2^11 + 3254*T1^8*T2^11 + 
      6357*T1^9*T2^11 - 7375*T1^10*T2^11 + 11346*T1^11*T2^11 - 
      2864*T1^12*T2^11 - 5221*T1^13*T2^11 + 3993*T1^14*T2^11 + 
      145*T1^15*T2^11 - 190*T1^16*T2^11 + 43*T1^4*T2^12 + 265*T1^5*T2^12 - 
      2270*T1^6*T2^12 + 858*T1^7*T2^12 + 5765*T1^8*T2^12 - 9864*T1^9*T2^12 + 
      5593*T1^10*T2^12 - 2864*T1^11*T2^12 - 5251*T1^12*T2^12 + 
      7698*T1^13*T2^12 - 3178*T1^14*T2^12 - 503*T1^15*T2^12 + 
      215*T1^16*T2^12 - 76*T1^5*T2^13 + 54*T1^6*T2^13 + 1931*T1^7*T2^13 - 
      4090*T1^8*T2^13 + 2288*T1^9*T2^13 + 2729*T1^10*T2^13 - 
      5221*T1^11*T2^13 + 7698*T1^12*T2^13 - 5348*T1^13*T2^13 + 
      965*T1^14*T2^13 + 782*T1^15*T2^13 - 190*T1^16*T2^13 + 69*T1^6*T2^14 - 
      295*T1^7*T2^14 - 351*T1^8*T2^14 + 2345*T1^9*T2^14 - 4098*T1^10*T2^14 + 
      3993*T1^11*T2^14 - 3178*T1^12*T2^14 + 965*T1^13*T2^14 + 
      661*T1^14*T2^14 - 663*T1^15*T2^14 + 115*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 415*T1^9*T2^15 + 294*T1^10*T2^15 + 145*T1^11*T2^15 - 
      503*T1^12*T2^15 + 782*T1^13*T2^15 - 663*T1^14*T2^15 + 288*T1^15*T2^15 - 
      40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 115*T1^10*T2^16 - 
      190*T1^11*T2^16 + 215*T1^12*T2^16 - 190*T1^13*T2^16 + 115*T1^14*T2^16 - 
      40*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 769] -> 
  {-((2 - 16*T + 45*T^2 - 63*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-23 + 184*T1 - 518*T1^2 + 725*T1^3 - 518*T1^4 + 184*T1^5 - 23*T1^6 + 
      184*T2 - 1352*T1*T2 + 3188*T1^2*T2 - 3100*T1^3*T2 + 356*T1^4*T2 + 
      1236*T1^5*T2 - 776*T1^6*T2 + 120*T1^7*T2 - 518*T2^2 + 3188*T1*T2^2 - 
      4186*T1^2*T2^2 - 3986*T1^3*T2^2 + 15006*T1^4*T2^2 - 12446*T1^5*T2^2 + 
      3554*T1^6*T2^2 + 308*T1^7*T2^2 - 158*T1^8*T2^2 + 725*T2^3 - 
      3100*T1*T2^3 - 3986*T1^2*T2^3 + 27972*T1^3*T2^3 - 40232*T1^4*T2^3 + 
      14470*T1^5*T2^3 + 8622*T1^6*T2^3 - 8036*T1^7*T2^3 + 1508*T1^8*T2^3 - 
      31*T1^9*T2^3 - 518*T2^4 + 356*T1*T2^4 + 15006*T1^2*T2^4 - 
      40232*T1^3*T2^4 + 25051*T1^4*T2^4 + 36013*T1^5*T2^4 - 54221*T1^6*T2^4 + 
      23776*T1^7*T2^4 - 1050*T1^8*T2^4 - 1372*T1^9*T2^4 + 202*T1^10*T2^4 + 
      184*T2^5 + 1236*T1*T2^5 - 12446*T1^2*T2^5 + 14470*T1^3*T2^5 + 
      36013*T1^4*T2^5 - 100703*T1^5*T2^5 + 76597*T1^6*T2^5 - 3722*T1^7*T2^5 - 
      21620*T1^8*T2^5 + 9244*T1^9*T2^5 - 524*T1^10*T2^5 - 136*T1^11*T2^5 - 
      23*T2^6 - 776*T1*T2^6 + 3554*T1^2*T2^6 + 8622*T1^3*T2^6 - 
      54221*T1^4*T2^6 + 76597*T1^5*T2^6 - 8448*T1^6*T2^6 - 70105*T1^7*T2^6 + 
      56497*T1^8*T2^6 - 11610*T1^9*T2^6 - 3650*T1^10*T2^6 + 888*T1^11*T2^6 + 
      25*T1^12*T2^6 + 120*T1*T2^7 + 308*T1^2*T2^7 - 8036*T1^3*T2^7 + 
      23776*T1^4*T2^7 - 3722*T1^5*T2^7 - 70105*T1^6*T2^7 + 107195*T1^7*T2^7 - 
      43457*T1^8*T2^7 - 12314*T1^9*T2^7 + 13654*T1^10*T2^7 - 
      1452*T1^11*T2^7 - 200*T1^12*T2^7 - 158*T1^2*T2^8 + 1508*T1^3*T2^8 - 
      1050*T1^4*T2^8 - 21620*T1^5*T2^8 + 56497*T1^6*T2^8 - 43457*T1^7*T2^8 - 
      22775*T1^8*T2^8 + 42388*T1^9*T2^8 - 17106*T1^10*T2^8 - 220*T1^11*T2^8 + 
      562*T1^12*T2^8 - 31*T1^3*T2^9 - 1372*T1^4*T2^9 + 9244*T1^5*T2^9 - 
      11610*T1^6*T2^9 - 12314*T1^7*T2^9 + 42388*T1^8*T2^9 - 30960*T1^9*T2^9 + 
      5194*T1^10*T2^9 + 3236*T1^11*T2^9 - 787*T1^12*T2^9 + 202*T1^4*T2^10 - 
      524*T1^5*T2^10 - 3650*T1^6*T2^10 + 13654*T1^7*T2^10 - 
      17106*T1^8*T2^10 + 5194*T1^9*T2^10 + 4090*T1^10*T2^10 - 
      3404*T1^11*T2^10 + 562*T1^12*T2^10 - 136*T1^5*T2^11 + 888*T1^6*T2^11 - 
      1452*T1^7*T2^11 - 220*T1^8*T2^11 + 3236*T1^9*T2^11 - 3404*T1^10*T2^11 + 
      1464*T1^11*T2^11 - 200*T1^12*T2^11 + 25*T1^6*T2^12 - 200*T1^7*T2^12 + 
      562*T1^8*T2^12 - 787*T1^9*T2^12 + 562*T1^10*T2^12 - 200*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 770] -> 
  {(2 - 17*T + 48*T^2 - 65*T^3 + 48*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (-33 + 280*T1 - 788*T1^2 + 1065*T1^3 - 788*T1^4 + 280*T1^5 - 33*T1^6 + 
     280*T2 - 2164*T1*T2 + 4886*T1^2*T2 - 3980*T1^3*T2 - 138*T1^4*T2 + 
     2676*T1^5*T2 - 1518*T1^6*T2 + 212*T1^7*T2 - 788*T2^2 + 4886*T1*T2^2 - 
     3985*T1^2*T2^2 - 13889*T1^3*T2^2 + 29281*T1^4*T2^2 - 23105*T1^5*T2^2 + 
     4847*T1^6*T2^2 + 1622*T1^7*T2^2 - 404*T1^8*T2^2 + 1065*T2^3 - 
     3980*T1*T2^3 - 13889*T1^2*T2^3 + 56968*T1^3*T2^3 - 58150*T1^4*T2^3 + 
     8708*T1^5*T2^3 + 30058*T1^6*T2^3 - 17105*T1^7*T2^3 + 1018*T1^8*T2^3 + 
     285*T1^9*T2^3 - 788*T2^4 - 138*T1*T2^4 + 29281*T1^2*T2^4 - 
     58150*T1^3*T2^4 - 5891*T1^4*T2^4 + 93827*T1^5*T2^4 - 94307*T1^6*T2^4 + 
     18550*T1^7*T2^4 + 10143*T1^8*T2^4 - 2246*T1^9*T2^4 - 20*T1^10*T2^4 + 
     280*T2^5 + 2676*T1*T2^5 - 23105*T1^2*T2^5 + 8708*T1^3*T2^5 + 
     93827*T1^4*T2^5 - 140050*T1^5*T2^5 + 56620*T1^6*T2^5 + 46883*T1^7*T2^5 - 
     38466*T1^8*T2^5 + 4111*T1^9*T2^5 + 670*T1^10*T2^5 - 60*T1^11*T2^5 - 
     33*T2^6 - 1518*T1*T2^6 + 4847*T1^2*T2^6 + 30058*T1^3*T2^6 - 
     94307*T1^4*T2^6 + 56620*T1^5*T2^6 + 61368*T1^6*T2^6 - 111796*T1^7*T2^6 + 
     43673*T1^8*T2^6 + 5650*T1^9*T2^6 - 4437*T1^10*T2^6 + 386*T1^11*T2^6 + 
     15*T1^12*T2^6 + 212*T1*T2^7 + 1622*T1^2*T2^7 - 17105*T1^3*T2^7 + 
     18550*T1^4*T2^7 + 46883*T1^5*T2^7 - 111796*T1^6*T2^7 + 84874*T1^7*T2^7 - 
     61*T1^8*T2^7 - 28624*T1^9*T2^7 + 10111*T1^10*T2^7 - 384*T1^11*T2^7 - 
     128*T1^12*T2^7 - 404*T1^2*T2^8 + 1018*T1^3*T2^8 + 10143*T1^4*T2^8 - 
     38466*T1^5*T2^8 + 43673*T1^6*T2^8 - 61*T1^7*T2^8 - 44743*T1^8*T2^8 + 
     38234*T1^9*T2^8 - 8995*T1^10*T2^8 - 1090*T1^11*T2^8 + 364*T1^12*T2^8 + 
     285*T1^3*T2^9 - 2246*T1^4*T2^9 + 4111*T1^5*T2^9 + 5650*T1^6*T2^9 - 
     28624*T1^7*T2^9 + 38234*T1^8*T2^9 - 21260*T1^9*T2^9 + 895*T1^10*T2^9 + 
     2752*T1^11*T2^9 - 495*T1^12*T2^9 - 20*T1^4*T2^10 + 670*T1^5*T2^10 - 
     4437*T1^6*T2^10 + 10111*T1^7*T2^10 - 8995*T1^8*T2^10 + 895*T1^9*T2^10 + 
     4395*T1^10*T2^10 - 2594*T1^11*T2^10 + 364*T1^12*T2^10 - 60*T1^5*T2^11 + 
     386*T1^6*T2^11 - 384*T1^7*T2^11 - 1090*T1^8*T2^11 + 2752*T1^9*T2^11 - 
     2594*T1^10*T2^11 + 1032*T1^11*T2^11 - 128*T1^12*T2^11 + 15*T1^6*T2^12 - 
     128*T1^7*T2^12 + 364*T1^8*T2^12 - 495*T1^9*T2^12 + 364*T1^10*T2^12 - 
     128*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 771] -> 
  {((1 - T + T^2)*(5 - 18*T + 27*T^2 - 18*T^3 + 5*T^4))/T^3, 
   (-230 + 1070*T1 - 2341*T1^2 + 2964*T1^3 - 2341*T1^4 + 1070*T1^5 - 
     230*T1^6 + 1070*T2 - 4463*T1*T2 + 8510*T1^2*T2 - 8615*T1^3*T2 + 
     4380*T1^4*T2 + 115*T1^5*T2 - 1243*T1^6*T2 + 495*T1^7*T2 - 2341*T2^2 + 
     8510*T1*T2^2 - 12652*T1^2*T2^2 + 5599*T1^3*T2^2 + 7636*T1^4*T2^2 - 
     14401*T1^5*T2^2 + 9848*T1^6*T2^2 - 2990*T1^7*T2^2 + 159*T1^8*T2^2 + 
     2964*T2^3 - 8615*T1*T2^3 + 5599*T1^2*T2^3 + 14693*T1^3*T2^3 - 
     33177*T1^4*T2^3 + 27788*T1^5*T2^3 - 4997*T1^6*T2^3 - 9451*T1^7*T2^3 + 
     7370*T1^8*T2^3 - 1761*T1^9*T2^3 - 2341*T2^4 + 4380*T1*T2^4 + 
     7636*T1^2*T2^4 - 33177*T1^3*T2^4 + 38060*T1^4*T2^4 - 3476*T1^5*T2^4 - 
     32860*T1^6*T2^4 + 34233*T1^7*T2^4 - 9018*T1^8*T2^4 - 4130*T1^9*T2^4 + 
     2659*T1^10*T2^4 + 1070*T2^5 + 115*T1*T2^5 - 14401*T1^2*T2^5 + 
     27788*T1^3*T2^5 - 3476*T1^4*T2^5 - 52679*T1^5*T2^5 + 67521*T1^6*T2^5 - 
     27576*T1^7*T2^5 - 20287*T1^8*T2^5 + 20449*T1^9*T2^5 - 3910*T1^10*T2^5 - 
     1805*T1^11*T2^5 - 230*T2^6 - 1243*T1*T2^6 + 9848*T1^2*T2^6 - 
     4997*T1^3*T2^6 - 32860*T1^4*T2^6 + 67521*T1^5*T2^6 - 26928*T1^6*T2^6 - 
     40709*T1^7*T2^6 + 66332*T1^8*T2^6 - 23647*T1^9*T2^6 - 6320*T1^10*T2^6 + 
     5887*T1^11*T2^6 + 520*T1^12*T2^6 + 495*T1*T2^7 - 2990*T1^2*T2^7 - 
     9451*T1^3*T2^7 + 34233*T1^4*T2^7 - 27576*T1^5*T2^7 - 40709*T1^6*T2^7 + 
     79491*T1^7*T2^7 - 51676*T1^8*T2^7 - 13842*T1^9*T2^7 + 25399*T1^10*T2^7 - 
     7015*T1^11*T2^7 - 2380*T1^12*T2^7 + 159*T1^2*T2^8 + 7370*T1^3*T2^8 - 
     9018*T1^4*T2^8 - 20287*T1^5*T2^8 + 66332*T1^6*T2^8 - 51676*T1^7*T2^8 - 
     4588*T1^8*T2^8 + 47123*T1^9*T2^8 - 25672*T1^10*T2^8 - 1140*T1^11*T2^8 + 
     5159*T1^12*T2^8 - 1761*T1^3*T2^9 - 4130*T1^4*T2^9 + 20449*T1^5*T2^9 - 
     23647*T1^6*T2^9 - 13842*T1^7*T2^9 + 47123*T1^8*T2^9 - 43337*T1^9*T2^9 + 
     5399*T1^10*T2^9 + 11855*T1^11*T2^9 - 6486*T1^12*T2^9 + 2659*T1^4*T2^10 - 
     3910*T1^5*T2^10 - 6320*T1^6*T2^10 + 25399*T1^7*T2^10 - 
     25672*T1^8*T2^10 + 5399*T1^9*T2^10 + 16180*T1^10*T2^10 - 
     15410*T1^11*T2^10 + 5159*T1^12*T2^10 - 1805*T1^5*T2^11 + 
     5887*T1^6*T2^11 - 7015*T1^7*T2^11 - 1140*T1^8*T2^11 + 11855*T1^9*T2^11 - 
     15410*T1^10*T2^11 + 9107*T1^11*T2^11 - 2380*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2380*T1^7*T2^12 + 5159*T1^8*T2^12 - 6486*T1^9*T2^12 + 
     5159*T1^10*T2^12 - 2380*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 772] -> 
  {-((4 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((-320 + 1264*T1 - 2188*T1^2 + 2568*T1^3 - 2188*T1^4 + 1264*T1^5 - 
      320*T1^6 + 1264*T2 - 4000*T1*T2 + 4718*T1^2*T2 - 3318*T1^3*T2 + 
      586*T1^4*T2 + 1902*T1^5*T2 - 2720*T1^6*T2 + 1008*T1^7*T2 - 2188*T2^2 + 
      4718*T1*T2^2 - 640*T1^2*T2^2 - 4677*T1^3*T2^2 + 8486*T1^4*T2^2 - 
      8485*T1^5*T2^2 + 4736*T1^6*T2^2 + 1134*T1^7*T2^2 - 1292*T1^8*T2^2 + 
      2568*T2^3 - 3318*T1*T2^3 - 4677*T1^2*T2^3 + 8160*T1^3*T2^3 - 
      7362*T1^4*T2^3 + 2542*T1^5*T2^3 + 3100*T1^6*T2^3 - 6805*T1^7*T2^3 + 
      1226*T1^8*T2^3 + 984*T1^9*T2^3 - 2188*T2^4 + 586*T1*T2^4 + 
      8486*T1^2*T2^4 - 7362*T1^3*T2^4 + 3316*T1^4*T2^4 + 1546*T1^5*T2^4 - 
      3884*T1^6*T2^4 + 3198*T1^7*T2^4 + 4134*T1^8*T2^4 - 2358*T1^9*T2^4 - 
      396*T1^10*T2^4 + 1264*T2^5 + 1902*T1*T2^5 - 8485*T1^2*T2^5 + 
      2542*T1^3*T2^5 + 1546*T1^4*T2^5 - 2686*T1^5*T2^5 + 942*T1^6*T2^5 + 
      1658*T1^7*T2^5 - 6050*T1^8*T2^5 + 363*T1^9*T2^5 + 1646*T1^10*T2^5 - 
      16*T1^11*T2^5 - 320*T2^6 - 2720*T1*T2^6 + 4736*T1^2*T2^6 + 
      3100*T1^3*T2^6 - 3884*T1^4*T2^6 + 942*T1^5*T2^6 + 1728*T1^6*T2^6 - 
      2674*T1^7*T2^6 + 2644*T1^8*T2^6 + 3516*T1^9*T2^6 - 2688*T1^10*T2^6 - 
      160*T1^11*T2^6 + 64*T1^12*T2^6 + 1008*T1*T2^7 + 1134*T1^2*T2^7 - 
      6805*T1^3*T2^7 + 3198*T1^4*T2^7 + 1658*T1^5*T2^7 - 2674*T1^6*T2^7 + 
      954*T1^7*T2^7 + 1770*T1^8*T2^7 - 5394*T1^9*T2^7 + 2043*T1^10*T2^7 + 
      878*T1^11*T2^7 - 272*T1^12*T2^7 - 1292*T1^2*T2^8 + 1226*T1^3*T2^8 + 
      4134*T1^4*T2^8 - 6050*T1^5*T2^8 + 2644*T1^6*T2^8 + 1770*T1^7*T2^8 - 
      4556*T1^8*T2^8 + 4510*T1^9*T2^8 - 218*T1^10*T2^8 - 1718*T1^11*T2^8 + 
      500*T1^12*T2^8 + 984*T1^3*T2^9 - 2358*T1^4*T2^9 + 363*T1^5*T2^9 + 
      3516*T1^6*T2^9 - 5394*T1^7*T2^9 + 4510*T1^8*T2^9 - 1544*T1^9*T2^9 - 
      1765*T1^10*T2^9 + 2186*T1^11*T2^9 - 600*T1^12*T2^9 - 396*T1^4*T2^10 + 
      1646*T1^5*T2^10 - 2688*T1^6*T2^10 + 2043*T1^7*T2^10 - 218*T1^8*T2^10 - 
      1765*T1^9*T2^10 + 2688*T1^10*T2^10 - 1938*T1^11*T2^10 + 
      500*T1^12*T2^10 - 16*T1^5*T2^11 - 160*T1^6*T2^11 + 878*T1^7*T2^11 - 
      1718*T1^8*T2^11 + 2186*T1^9*T2^11 - 1938*T1^10*T2^11 + 
      1120*T1^11*T2^11 - 272*T1^12*T2^11 + 64*T1^6*T2^12 - 272*T1^7*T2^12 + 
      500*T1^8*T2^12 - 600*T1^9*T2^12 + 500*T1^10*T2^12 - 272*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 773] -> {-(((2 - 3*T + 2*T^2)*(3 - 7*T + 3*T^2))/T^2), 
   -((-693 + 2611*T1 - 3717*T1^2 + 2611*T1^3 - 693*T1^4 + 2611*T2 - 
      8066*T1*T2 + 7360*T1^2*T2 - 368*T1^3*T2 - 4064*T1^4*T2 + 1783*T1^5*T2 - 
      3717*T2^2 + 7360*T1*T2^2 + 3659*T1^2*T2^2 - 16621*T1^3*T2^2 + 
      14351*T1^4*T2^2 - 1748*T1^5*T2^2 - 1341*T1^6*T2^2 + 2611*T2^3 - 
      368*T1*T2^3 - 16621*T1^2*T2^3 + 22835*T1^3*T2^3 - 7663*T1^4*T2^3 - 
      8272*T1^5*T2^3 + 4600*T1^6*T2^3 + 127*T1^7*T2^3 - 693*T2^4 - 
      4064*T1*T2^4 + 14351*T1^2*T2^4 - 7663*T1^3*T2^4 - 11196*T1^4*T2^4 + 
      17591*T1^5*T2^4 - 5231*T1^6*T2^4 - 1028*T1^7*T2^4 + 171*T1^8*T2^4 + 
      1783*T1*T2^5 - 1748*T1^2*T2^5 - 8272*T1^3*T2^5 + 17591*T1^4*T2^5 - 
      12907*T1^5*T2^5 + 77*T1^6*T2^5 + 3220*T1^7*T2^5 - 701*T1^8*T2^5 - 
      1341*T1^2*T2^6 + 4600*T1^3*T2^6 - 5231*T1^4*T2^6 + 77*T1^5*T2^6 + 
      5461*T1^6*T2^6 - 4508*T1^7*T2^6 + 1035*T1^8*T2^6 + 127*T1^3*T2^7 - 
      1028*T1^4*T2^7 + 3220*T1^5*T2^7 - 4508*T1^6*T2^7 + 2974*T1^7*T2^7 - 
      701*T1^8*T2^7 + 171*T1^4*T2^8 - 701*T1^5*T2^8 + 1035*T1^6*T2^8 - 
      701*T1^7*T2^8 + 171*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 774] -> {(6 - 22*T + 33*T^2 - 22*T^3 + 6*T^4)/T^2, 
   (-387 + 1435*T1 - 2157*T1^2 + 1435*T1^3 - 387*T1^4 + 1435*T2 - 
     4672*T1*T2 + 5578*T1^2*T2 - 1682*T1^3*T2 - 976*T1^4*T2 + 643*T1^5*T2 - 
     2157*T2^2 + 5578*T1*T2^2 - 2735*T1^2*T2^2 - 6377*T1^3*T2^2 + 
     7957*T1^4*T2^2 - 3134*T1^5*T2^2 + 219*T1^6*T2^2 + 1435*T2^3 - 
     1682*T1*T2^3 - 6377*T1^2*T2^3 + 16622*T1^3*T2^3 - 12220*T1^4*T2^3 + 
     883*T1^5*T2^3 + 2674*T1^6*T2^3 - 941*T1^7*T2^3 - 387*T2^4 - 
     976*T1*T2^4 + 7957*T1^2*T2^4 - 12220*T1^3*T2^4 + 1908*T1^4*T2^4 + 
     10748*T1^5*T2^4 - 8587*T1^6*T2^4 + 1664*T1^7*T2^4 + 477*T1^8*T2^4 + 
     643*T1*T2^5 - 3134*T1^2*T2^5 + 883*T1^3*T2^5 + 10748*T1^4*T2^5 - 
     18094*T1^5*T2^5 + 8143*T1^6*T2^5 + 1222*T1^7*T2^5 - 1733*T1^8*T2^5 + 
     219*T1^2*T2^6 + 2674*T1^3*T2^6 - 8587*T1^4*T2^6 + 8143*T1^5*T2^6 + 
     2105*T1^6*T2^6 - 6038*T1^7*T2^6 + 2595*T1^8*T2^6 - 941*T1^3*T2^7 + 
     1664*T1^4*T2^7 + 1222*T1^5*T2^7 - 6038*T1^6*T2^7 + 5360*T1^7*T2^7 - 
     1733*T1^8*T2^7 + 477*T1^4*T2^8 - 1733*T1^5*T2^8 + 2595*T1^6*T2^8 - 
     1733*T1^7*T2^8 + 477*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 775] -> {-((6 - 22*T + 31*T^2 - 22*T^3 + 6*T^4)/T^2), 
   -((-747 + 2723*T1 - 3815*T1^2 + 2723*T1^3 - 747*T1^4 + 2723*T2 - 
      8000*T1*T2 + 6892*T1^2*T2 - 104*T1^3*T2 - 4304*T1^4*T2 + 1931*T1^5*T2 - 
      3815*T2^2 + 6892*T1*T2^2 + 4525*T1^2*T2^2 - 16259*T1^3*T2^2 + 
      13825*T1^4*T2^2 - 1292*T1^5*T2^2 - 1583*T1^6*T2^2 + 2723*T2^3 - 
      104*T1*T2^3 - 16259*T1^2*T2^3 + 19926*T1^3*T2^3 - 5132*T1^4*T2^3 - 
      9439*T1^5*T2^3 + 4516*T1^6*T2^3 + 347*T1^7*T2^3 - 747*T2^4 - 
      4304*T1*T2^4 + 13825*T1^2*T2^4 - 5132*T1^3*T2^4 - 11844*T1^4*T2^4 + 
      15900*T1^5*T2^4 - 3007*T1^6*T2^4 - 1664*T1^7*T2^4 + 117*T1^8*T2^4 + 
      1931*T1*T2^5 - 1292*T1^2*T2^5 - 9439*T1^3*T2^5 + 15900*T1^4*T2^5 - 
      9158*T1^5*T2^5 - 2619*T1^6*T2^5 + 3328*T1^7*T2^5 - 445*T1^8*T2^5 - 
      1583*T1^2*T2^6 + 4516*T1^3*T2^6 - 3007*T1^4*T2^6 - 2619*T1^5*T2^6 + 
      6293*T1^6*T2^6 - 3668*T1^7*T2^6 + 649*T1^8*T2^6 + 347*T1^3*T2^7 - 
      1664*T1^4*T2^7 + 3328*T1^5*T2^7 - 3668*T1^6*T2^7 + 2032*T1^7*T2^7 - 
      445*T1^8*T2^7 + 117*T1^4*T2^8 - 445*T1^5*T2^8 + 649*T1^6*T2^8 - 
      445*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 776] -> 
  {-((1 - 8*T + 25*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 230*T1^3 - 275*T1^4 + 230*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 745*T1^2*T2 - 
      1042*T1^3*T2 + 729*T1^4*T2 - 79*T1^5*T2 - 474*T1^6*T2 + 481*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 745*T1*T2^2 - 1163*T1^2*T2^2 - 
      31*T1^3*T2^2 + 3010*T1^4*T2^2 - 4867*T1^5*T2^2 + 4510*T1^6*T2^2 - 
      1931*T1^7*T2^2 + 37*T1^8*T2^2 + 345*T1^9*T2^2 - 75*T1^10*T2^2 + 
      230*T2^3 - 1042*T1*T2^3 - 31*T1^2*T2^3 + 4728*T1^3*T2^3 - 
      9960*T1^4*T2^3 + 8172*T1^5*T2^3 - 2230*T1^6*T2^3 - 4454*T1^7*T2^3 + 
      4614*T1^8*T2^3 - 1681*T1^9*T2^3 - 138*T1^10*T2^3 + 92*T1^11*T2^3 - 
      275*T2^4 + 729*T1*T2^4 + 3010*T1^2*T2^4 - 9960*T1^3*T2^4 + 
      11468*T1^4*T2^4 + 612*T1^5*T2^4 - 10894*T1^6*T2^4 + 14332*T1^7*T2^4 - 
      4620*T1^8*T2^4 - 2416*T1^9*T2^4 + 2622*T1^10*T2^4 - 295*T1^11*T2^4 - 
      55*T1^12*T2^4 + 230*T2^5 - 79*T1*T2^5 - 4867*T1^2*T2^5 + 
      8172*T1^3*T2^5 + 612*T1^4*T2^5 - 20040*T1^5*T2^5 + 20875*T1^6*T2^5 - 
      9145*T1^7*T2^5 - 10740*T1^8*T2^5 + 12052*T1^9*T2^5 - 3898*T1^10*T2^5 - 
      1207*T1^11*T2^5 + 441*T1^12*T2^5 - 125*T2^6 - 474*T1*T2^6 + 
      4510*T1^2*T2^6 - 2230*T1^3*T2^6 - 10894*T1^4*T2^6 + 20875*T1^5*T2^6 - 
      731*T1^6*T2^6 - 19809*T1^7*T2^6 + 29433*T1^8*T2^6 - 11037*T1^9*T2^6 - 
      4356*T1^10*T2^6 + 5670*T1^11*T2^6 - 766*T1^12*T2^6 - 202*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 481*T1*T2^7 - 1931*T1^2*T2^7 - 
      4454*T1^3*T2^7 + 14332*T1^4*T2^7 - 9145*T1^5*T2^7 - 19809*T1^6*T2^7 + 
      27994*T1^7*T2^7 - 15082*T1^8*T2^7 - 11929*T1^9*T2^7 + 
      17091*T1^10*T2^7 - 6228*T1^11*T2^7 - 1808*T1^12*T2^7 + 
      1219*T1^13*T2^7 - 71*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 + 37*T1^2*T2^8 + 4614*T1^3*T2^8 - 4620*T1^4*T2^8 - 
      10740*T1^5*T2^8 + 29433*T1^6*T2^8 - 15082*T1^7*T2^8 - 10968*T1^8*T2^8 + 
      26030*T1^9*T2^8 - 13847*T1^10*T2^8 - 3420*T1^11*T2^8 + 
      6800*T1^12*T2^8 - 1922*T1^13*T2^8 - 335*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 345*T1^2*T2^9 - 1681*T1^3*T2^9 - 
      2416*T1^4*T2^9 + 12052*T1^5*T2^9 - 11037*T1^6*T2^9 - 11929*T1^7*T2^9 + 
      26030*T1^8*T2^9 - 17046*T1^9*T2^9 - 4049*T1^10*T2^9 + 
      15199*T1^11*T2^9 - 8508*T1^12*T2^9 + 230*T1^13*T2^9 + 1469*T1^14*T2^9 - 
      207*T1^15*T2^9 - 24*T1^16*T2^9 - 75*T1^2*T2^10 - 138*T1^3*T2^10 + 
      2622*T1^4*T2^10 - 3898*T1^5*T2^10 - 4356*T1^6*T2^10 + 
      17091*T1^7*T2^10 - 13847*T1^8*T2^10 - 4049*T1^9*T2^10 + 
      16317*T1^10*T2^10 - 14821*T1^11*T2^10 + 2182*T1^12*T2^10 + 
      4002*T1^13*T2^10 - 2654*T1^14*T2^10 + 134*T1^15*T2^10 + 
      75*T1^16*T2^10 + 92*T1^3*T2^11 - 295*T1^4*T2^11 - 1207*T1^5*T2^11 + 
      5670*T1^6*T2^11 - 6228*T1^7*T2^11 - 3420*T1^8*T2^11 + 
      15199*T1^9*T2^11 - 14821*T1^10*T2^11 + 5880*T1^11*T2^11 + 
      5212*T1^12*T2^11 - 6400*T1^13*T2^11 + 2453*T1^14*T2^11 + 
      225*T1^15*T2^11 - 138*T1^16*T2^11 - 55*T1^4*T2^12 + 441*T1^5*T2^12 - 
      766*T1^6*T2^12 - 1808*T1^7*T2^12 + 6800*T1^8*T2^12 - 8508*T1^9*T2^12 + 
      2182*T1^10*T2^12 + 5212*T1^11*T2^12 - 9288*T1^12*T2^12 + 
      5736*T1^13*T2^12 - 1154*T1^14*T2^12 - 583*T1^15*T2^12 + 
      165*T1^16*T2^12 - 202*T1^6*T2^13 + 1219*T1^7*T2^13 - 1922*T1^8*T2^13 + 
      230*T1^9*T2^13 + 4002*T1^10*T2^13 - 6400*T1^11*T2^13 + 
      5736*T1^12*T2^13 - 2036*T1^13*T2^13 - 431*T1^14*T2^13 + 
      702*T1^15*T2^13 - 138*T1^16*T2^13 + 25*T1^6*T2^14 - 71*T1^7*T2^14 - 
      335*T1^8*T2^14 + 1469*T1^9*T2^14 - 2654*T1^10*T2^14 + 
      2453*T1^11*T2^14 - 1154*T1^12*T2^14 - 431*T1^13*T2^14 + 
      865*T1^14*T2^14 - 471*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 207*T1^9*T2^15 + 134*T1^10*T2^15 + 225*T1^11*T2^15 - 
      583*T1^12*T2^15 + 702*T1^13*T2^15 - 471*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      138*T1^11*T2^16 + 165*T1^12*T2^16 - 138*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 777] -> 
  {(1 - 8*T + 23*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 23*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 138*T1^2 + 216*T1^3 - 246*T1^4 + 216*T1^5 - 138*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 783*T1^2*T2 - 806*T1^3*T2 + 
     527*T1^4*T2 - 89*T1^5*T2 - 334*T1^6*T2 + 535*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 138*T2^2 + 783*T1*T2^2 - 713*T1^2*T2^2 - 1608*T1^3*T2^2 + 
     3657*T1^4*T2^2 - 4733*T1^5*T2^2 + 4485*T1^6*T2^2 - 2896*T1^7*T2^2 + 
     299*T1^8*T2^2 + 415*T1^9*T2^2 - 92*T1^10*T2^2 + 216*T2^3 - 806*T1*T2^3 - 
     1608*T1^2*T2^3 + 7450*T1^3*T2^3 - 8105*T1^4*T2^3 + 5896*T1^5*T2^3 - 
     1900*T1^6*T2^3 - 2541*T1^7*T2^3 + 5742*T1^8*T2^3 - 2436*T1^9*T2^3 - 
     126*T1^10*T2^3 + 108*T1^11*T2^3 - 246*T2^4 + 527*T1*T2^4 + 
     3657*T1^2*T2^4 - 8105*T1^3*T2^4 + 162*T1^4*T2^4 + 6808*T1^5*T2^4 - 
     11508*T1^6*T2^4 + 12584*T1^7*T2^4 - 9406*T1^8*T2^4 - 1337*T1^9*T2^4 + 
     2821*T1^10*T2^4 - 209*T1^11*T2^4 - 82*T1^12*T2^4 + 216*T2^5 - 
     89*T1*T2^5 - 4733*T1^2*T2^5 + 5896*T1^3*T2^5 + 6808*T1^4*T2^5 - 
     9188*T1^5*T2^5 + 7740*T1^6*T2^5 - 3540*T1^7*T2^5 - 1892*T1^8*T2^5 + 
     10168*T1^9*T2^5 - 2804*T1^10*T2^5 - 1829*T1^11*T2^5 + 367*T1^12*T2^5 + 
     36*T1^13*T2^5 - 138*T2^6 - 334*T1*T2^6 + 4485*T1^2*T2^6 - 
     1900*T1^3*T2^6 - 11508*T1^4*T2^6 + 7740*T1^5*T2^6 - 3890*T1^6*T2^6 + 
     908*T1^7*T2^6 + 838*T1^8*T2^6 - 3956*T1^9*T2^6 - 5830*T1^10*T2^6 + 
     4540*T1^11*T2^6 + 329*T1^12*T2^6 - 286*T1^13*T2^6 + 48*T2^7 + 
     535*T1*T2^7 - 2896*T1^2*T2^7 - 2541*T1^3*T2^7 + 12584*T1^4*T2^7 - 
     3540*T1^5*T2^7 + 908*T1^6*T2^7 - 2054*T1^7*T2^7 + 2834*T1^8*T2^7 - 
     972*T1^9*T2^7 + 6908*T1^10*T2^7 - 440*T1^11*T2^7 - 3289*T1^12*T2^7 + 
     692*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     299*T1^2*T2^8 + 5742*T1^3*T2^8 - 9406*T1^4*T2^8 - 1892*T1^5*T2^8 + 
     838*T1^6*T2^8 + 2834*T1^7*T2^8 - 1728*T1^8*T2^8 - 1374*T1^9*T2^8 - 
     738*T1^10*T2^8 - 5588*T1^11*T2^8 + 5030*T1^12*T2^8 - 50*T1^13*T2^8 - 
     473*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     415*T1^2*T2^9 - 2436*T1^3*T2^9 - 1337*T1^4*T2^9 + 10168*T1^5*T2^9 - 
     3956*T1^6*T2^9 - 972*T1^7*T2^9 - 1374*T1^8*T2^9 + 3514*T1^9*T2^9 - 
     2852*T1^10*T2^9 + 6492*T1^11*T2^9 - 2856*T1^12*T2^9 - 2085*T1^13*T2^9 + 
     1152*T1^14*T2^9 - 57*T1^15*T2^9 - 16*T1^16*T2^9 - 92*T1^2*T2^10 - 
     126*T1^3*T2^10 + 2821*T1^4*T2^10 - 2804*T1^5*T2^10 - 5830*T1^6*T2^10 + 
     6908*T1^7*T2^10 - 738*T1^8*T2^10 - 2852*T1^9*T2^10 + 3990*T1^10*T2^10 - 
     4788*T1^11*T2^10 - 152*T1^12*T2^10 + 3636*T1^13*T2^10 - 
     1335*T1^14*T2^10 - 78*T1^15*T2^10 + 46*T1^16*T2^10 + 108*T1^3*T2^11 - 
     209*T1^4*T2^11 - 1829*T1^5*T2^11 + 4540*T1^6*T2^11 - 440*T1^7*T2^11 - 
     5588*T1^8*T2^11 + 6492*T1^9*T2^11 - 4788*T1^10*T2^11 + 
     1708*T1^11*T2^11 + 2920*T1^12*T2^11 - 4160*T1^13*T2^11 + 
     1075*T1^14*T2^11 + 247*T1^15*T2^11 - 72*T1^16*T2^11 - 82*T1^4*T2^12 + 
     367*T1^5*T2^12 + 329*T1^6*T2^12 - 3289*T1^7*T2^12 + 5030*T1^8*T2^12 - 
     2856*T1^9*T2^12 - 152*T1^10*T2^12 + 2920*T1^11*T2^12 - 
     4538*T1^12*T2^12 + 3479*T1^13*T2^12 - 507*T1^14*T2^12 - 
     369*T1^15*T2^12 + 82*T1^16*T2^12 + 36*T1^5*T2^13 - 286*T1^6*T2^13 + 
     692*T1^7*T2^13 - 50*T1^8*T2^13 - 2085*T1^9*T2^13 + 3636*T1^10*T2^13 - 
     4160*T1^11*T2^13 + 3479*T1^12*T2^13 - 1758*T1^13*T2^13 - 
     136*T1^14*T2^13 + 394*T1^15*T2^13 - 72*T1^16*T2^13 + 63*T1^7*T2^14 - 
     473*T1^8*T2^14 + 1152*T1^9*T2^14 - 1335*T1^10*T2^14 + 1075*T1^11*T2^14 - 
     507*T1^12*T2^14 - 136*T1^13*T2^14 + 539*T1^14*T2^14 - 305*T1^15*T2^14 + 
     46*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 57*T1^9*T2^15 - 
     78*T1^10*T2^15 + 247*T1^11*T2^15 - 369*T1^12*T2^15 + 394*T1^13*T2^15 - 
     305*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 46*T1^10*T2^16 - 72*T1^11*T2^16 + 82*T1^12*T2^16 - 
     72*T1^13*T2^16 + 46*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 778] -> 
  {(1 - 9*T + 30*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 30*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 120*T1^2 + 228*T1^3 - 284*T1^4 + 228*T1^5 - 120*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 837*T1^2*T2 - 1243*T1^3*T2 + 
     1018*T1^4*T2 - 134*T1^5*T2 - 460*T1^6*T2 + 486*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 120*T2^2 + 837*T1*T2^2 - 1481*T1^2*T2^2 + 128*T1^3*T2^2 + 
     3463*T1^4*T2^2 - 6915*T1^5*T2^2 + 5923*T1^6*T2^2 - 2752*T1^7*T2^2 + 
     259*T1^8*T2^2 + 297*T1^9*T2^2 - 60*T1^10*T2^2 + 228*T2^3 - 
     1243*T1*T2^3 + 128*T1^2*T2^3 + 6371*T1^3*T2^3 - 14133*T1^4*T2^3 + 
     15368*T1^5*T2^3 - 4315*T1^6*T2^3 - 4323*T1^7*T2^3 + 5759*T1^8*T2^3 - 
     2302*T1^9*T2^3 + 26*T1^10*T2^3 + 57*T1^11*T2^3 - 284*T2^4 + 
     1018*T1*T2^4 + 3463*T1^2*T2^4 - 14133*T1^3*T2^4 + 18205*T1^4*T2^4 - 
     6381*T1^5*T2^4 - 18555*T1^6*T2^4 + 22053*T1^7*T2^4 - 11163*T1^8*T2^4 - 
     567*T1^9*T2^4 + 2749*T1^10*T2^4 - 512*T1^11*T2^4 + 228*T2^5 - 
     134*T1*T2^5 - 6915*T1^2*T2^5 + 15368*T1^3*T2^5 - 6381*T1^4*T2^5 - 
     19370*T1^5*T2^5 + 42736*T1^6*T2^5 - 20480*T1^7*T2^5 - 7430*T1^8*T2^5 + 
     17880*T1^9*T2^5 - 8797*T1^10*T2^5 + 78*T1^11*T2^5 + 514*T1^12*T2^5 - 
     57*T1^13*T2^5 - 120*T2^6 - 460*T1*T2^6 + 5923*T1^2*T2^6 - 
     4315*T1^3*T2^6 - 18555*T1^4*T2^6 + 42736*T1^5*T2^6 - 39264*T1^6*T2^6 - 
     15116*T1^7*T2^6 + 42120*T1^8*T2^6 - 28364*T1^9*T2^6 + 801*T1^10*T2^6 + 
     8645*T1^11*T2^6 - 2885*T1^12*T2^6 - 28*T1^13*T2^6 + 60*T1^14*T2^6 + 
     36*T2^7 + 486*T1*T2^7 - 2752*T1^2*T2^7 - 4323*T1^3*T2^7 + 
     22053*T1^4*T2^7 - 20480*T1^5*T2^7 - 15116*T1^6*T2^7 + 68192*T1^7*T2^7 - 
     55534*T1^8*T2^7 + 2983*T1^9*T2^7 + 26968*T1^10*T2^7 - 18900*T1^11*T2^7 + 
     891*T1^12*T2^7 + 2378*T1^13*T2^7 - 297*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 259*T1^2*T2^8 + 5759*T1^3*T2^8 - 
     11163*T1^4*T2^8 - 7430*T1^5*T2^8 + 42120*T1^6*T2^8 - 55534*T1^7*T2^8 + 
     3672*T1^8*T2^8 + 52106*T1^9*T2^8 - 45246*T1^10*T2^8 + 9862*T1^11*T2^8 + 
     11221*T1^12*T2^8 - 6019*T1^13*T2^8 - 275*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 297*T1^2*T2^9 - 2302*T1^3*T2^9 - 
     567*T1^4*T2^9 + 17880*T1^5*T2^9 - 28364*T1^6*T2^9 + 2983*T1^7*T2^9 + 
     52106*T1^8*T2^9 - 71620*T1^9*T2^9 + 21082*T1^10*T2^9 + 
     19084*T1^11*T2^9 - 23073*T1^12*T2^9 + 4647*T1^13*T2^9 + 
     2828*T1^14*T2^9 - 486*T1^15*T2^9 - 36*T1^16*T2^9 - 60*T1^2*T2^10 + 
     26*T1^3*T2^10 + 2749*T1^4*T2^10 - 8797*T1^5*T2^10 + 801*T1^6*T2^10 + 
     26968*T1^7*T2^10 - 45246*T1^8*T2^10 + 21082*T1^9*T2^10 + 
     36138*T1^10*T2^10 - 44132*T1^11*T2^10 + 20157*T1^12*T2^10 + 
     4163*T1^13*T2^10 - 6059*T1^14*T2^10 + 458*T1^15*T2^10 + 
     120*T1^16*T2^10 + 57*T1^3*T2^11 - 512*T1^4*T2^11 + 78*T1^5*T2^11 + 
     8645*T1^6*T2^11 - 18900*T1^7*T2^11 + 9862*T1^8*T2^11 + 
     19084*T1^9*T2^11 - 44132*T1^10*T2^11 + 21802*T1^11*T2^11 + 
     5361*T1^12*T2^11 - 15520*T1^13*T2^11 + 7071*T1^14*T2^11 + 
     136*T1^15*T2^11 - 228*T1^16*T2^11 + 514*T1^5*T2^12 - 2885*T1^6*T2^12 + 
     891*T1^7*T2^12 + 11221*T1^8*T2^12 - 23073*T1^9*T2^12 + 
     20157*T1^10*T2^12 + 5361*T1^11*T2^12 - 18147*T1^12*T2^12 + 
     14457*T1^13*T2^12 - 3599*T1^14*T2^12 - 1016*T1^15*T2^12 + 
     284*T1^16*T2^12 - 57*T1^5*T2^13 - 28*T1^6*T2^13 + 2378*T1^7*T2^13 - 
     6019*T1^8*T2^13 + 4647*T1^9*T2^13 + 4163*T1^10*T2^13 - 
     15520*T1^11*T2^13 + 14457*T1^12*T2^13 - 6631*T1^13*T2^13 - 
     52*T1^14*T2^13 + 1241*T1^15*T2^13 - 228*T1^16*T2^13 + 60*T1^6*T2^14 - 
     297*T1^7*T2^14 - 275*T1^8*T2^14 + 2828*T1^9*T2^14 - 6059*T1^10*T2^14 + 
     7071*T1^11*T2^14 - 3599*T1^12*T2^14 - 52*T1^13*T2^14 + 
     1465*T1^14*T2^14 - 837*T1^15*T2^14 + 120*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 486*T1^9*T2^15 + 458*T1^10*T2^15 + 136*T1^11*T2^15 - 
     1016*T1^12*T2^15 + 1241*T1^13*T2^15 - 837*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     120*T1^10*T2^16 - 228*T1^11*T2^16 + 284*T1^12*T2^16 - 228*T1^13*T2^16 + 
     120*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 779] -> 
  {-((2 - 16*T + 44*T^2 - 61*T^3 + 44*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-23 + 184*T1 - 506*T1^2 + 701*T1^3 - 506*T1^4 + 184*T1^5 - 23*T1^6 + 
      184*T2 - 1352*T1*T2 + 3092*T1^2*T2 - 2972*T1^3*T2 + 388*T1^4*T2 + 
      1172*T1^5*T2 - 776*T1^6*T2 + 120*T1^7*T2 - 506*T2^2 + 3092*T1*T2^2 - 
      3622*T1^2*T2^2 - 4496*T1^3*T2^2 + 14812*T1^4*T2^2 - 12416*T1^5*T2^2 + 
      3770*T1^6*T2^2 + 276*T1^7*T2^2 - 154*T1^8*T2^2 + 701*T2^3 - 
      2972*T1*T2^3 - 4496*T1^2*T2^3 + 27068*T1^3*T2^3 - 37852*T1^4*T2^3 + 
      14108*T1^5*T2^3 + 7886*T1^6*T2^3 - 7928*T1^7*T2^3 + 1476*T1^8*T2^3 - 
      31*T1^9*T2^3 - 506*T2^4 + 388*T1*T2^4 + 14812*T1^2*T2^4 - 
      37852*T1^3*T2^4 + 23236*T1^4*T2^4 + 32040*T1^5*T2^4 - 49820*T1^6*T2^4 + 
      22660*T1^7*T2^4 - 932*T1^8*T2^4 - 1340*T1^9*T2^4 + 198*T1^10*T2^4 + 
      184*T2^5 + 1172*T1*T2^5 - 12416*T1^2*T2^5 + 14108*T1^3*T2^5 + 
      32040*T1^4*T2^5 - 89480*T1^5*T2^5 + 68500*T1^6*T2^5 - 2984*T1^7*T2^5 - 
      20748*T1^8*T2^5 + 8968*T1^9*T2^5 - 492*T1^10*T2^5 - 136*T1^11*T2^5 - 
      23*T2^6 - 776*T1*T2^6 + 3770*T1^2*T2^6 + 7886*T1^3*T2^6 - 
      49820*T1^4*T2^6 + 68500*T1^5*T2^6 - 7044*T1^6*T2^6 - 63116*T1^7*T2^6 + 
      51396*T1^8*T2^6 - 10474*T1^9*T2^6 - 3814*T1^10*T2^6 + 888*T1^11*T2^6 + 
      25*T1^12*T2^6 + 120*T1*T2^7 + 276*T1^2*T2^7 - 7928*T1^3*T2^7 + 
      22660*T1^4*T2^7 - 2984*T1^5*T2^7 - 63116*T1^6*T2^7 + 94864*T1^7*T2^7 - 
      38008*T1^8*T2^7 - 12196*T1^9*T2^7 + 13456*T1^10*T2^7 - 
      1388*T1^11*T2^7 - 200*T1^12*T2^7 - 154*T1^2*T2^8 + 1476*T1^3*T2^8 - 
      932*T1^4*T2^8 - 20748*T1^5*T2^8 + 51396*T1^6*T2^8 - 38008*T1^7*T2^8 - 
      21660*T1^8*T2^8 + 39764*T1^9*T2^8 - 16676*T1^10*T2^8 - 252*T1^11*T2^8 + 
      550*T1^12*T2^8 - 31*T1^3*T2^9 - 1340*T1^4*T2^9 + 8968*T1^5*T2^9 - 
      10474*T1^6*T2^9 - 12196*T1^7*T2^9 + 39764*T1^8*T2^9 - 29656*T1^9*T2^9 + 
      5536*T1^10*T2^9 + 3108*T1^11*T2^9 - 763*T1^12*T2^9 + 198*T1^4*T2^10 - 
      492*T1^5*T2^10 - 3814*T1^6*T2^10 + 13456*T1^7*T2^10 - 
      16676*T1^8*T2^10 + 5536*T1^9*T2^10 + 3578*T1^10*T2^10 - 
      3308*T1^11*T2^10 + 550*T1^12*T2^10 - 136*T1^5*T2^11 + 888*T1^6*T2^11 - 
      1388*T1^7*T2^11 - 252*T1^8*T2^11 + 3108*T1^9*T2^11 - 3308*T1^10*T2^11 + 
      1464*T1^11*T2^11 - 200*T1^12*T2^11 + 25*T1^6*T2^12 - 200*T1^7*T2^12 + 
      550*T1^8*T2^12 - 763*T1^9*T2^12 + 550*T1^10*T2^12 - 200*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 780] -> 
  {-(((1 - T + T^2)*(5 - 19*T + 27*T^2 - 19*T^3 + 5*T^4))/T^3), 
   -((-645 + 3075*T1 - 6497*T1^2 + 8271*T1^3 - 6497*T1^4 + 3075*T1^5 - 
      645*T1^6 + 3075*T2 - 12200*T1*T2 + 19237*T1^2*T2 - 14600*T1^3*T2 - 
      680*T1^4*T2 + 10237*T1^5*T2 - 8720*T1^6*T2 + 2475*T1^7*T2 - 6497*T2^2 + 
      19237*T1*T2^2 - 13257*T1^2*T2^2 - 16900*T1^3*T2^2 + 46617*T1^4*T2^2 - 
      37810*T1^5*T2^2 + 10203*T1^6*T2^2 + 6997*T1^7*T2^2 - 3947*T1^8*T2^2 + 
      8271*T2^3 - 14600*T1*T2^3 - 16900*T1^2*T2^3 + 60051*T1^3*T2^3 - 
      64222*T1^4*T2^3 + 4637*T1^5*T2^3 + 36501*T1^6*T2^3 - 31129*T1^7*T2^3 + 
      2680*T1^8*T2^3 + 3396*T1^9*T2^3 - 6497*T2^4 - 680*T1*T2^4 + 
      46617*T1^2*T2^4 - 64222*T1^3*T2^4 + 15111*T1^4*T2^4 + 68791*T1^5*T2^4 - 
      65889*T1^6*T2^4 + 12998*T1^7*T2^4 + 23757*T1^8*T2^4 - 9560*T1^9*T2^4 - 
      1397*T1^10*T2^4 + 3075*T2^5 + 10237*T1*T2^5 - 37810*T1^2*T2^5 + 
      4637*T1^3*T2^5 + 68791*T1^4*T2^5 - 103643*T1^5*T2^5 + 22897*T1^6*T2^5 + 
      46606*T1^7*T2^5 - 47500*T1^8*T2^5 + 3143*T1^9*T2^5 + 6277*T1^10*T2^5 + 
      75*T1^11*T2^5 - 645*T2^6 - 8720*T1*T2^6 + 10203*T1^2*T2^6 + 
      36501*T1^3*T2^6 - 65889*T1^4*T2^6 + 22897*T1^5*T2^6 + 76020*T1^6*T2^6 - 
      88001*T1^7*T2^6 + 31293*T1^8*T2^6 + 19407*T1^9*T2^6 - 
      11433*T1^10*T2^6 - 800*T1^11*T2^6 + 105*T1^12*T2^6 + 2475*T1*T2^7 + 
      6997*T1^2*T2^7 - 31129*T1^3*T2^7 + 12998*T1^4*T2^7 + 46606*T1^5*T2^7 - 
      88001*T1^6*T2^7 + 38539*T1^7*T2^7 + 24421*T1^8*T2^7 - 39139*T1^9*T2^7 + 
      9824*T1^10*T2^7 + 3037*T1^11*T2^7 - 525*T1^12*T2^7 - 3947*T1^2*T2^8 + 
      2680*T1^3*T2^8 + 23757*T1^4*T2^8 - 47500*T1^5*T2^8 + 31293*T1^6*T2^8 + 
      24421*T1^7*T2^8 - 49707*T1^8*T2^8 + 29720*T1^9*T2^8 + 897*T1^10*T2^8 - 
      6200*T1^11*T2^8 + 1153*T1^12*T2^8 + 3396*T1^3*T2^9 - 9560*T1^4*T2^9 + 
      3143*T1^5*T2^9 + 19407*T1^6*T2^9 - 39139*T1^7*T2^9 + 29720*T1^8*T2^9 - 
      4143*T1^9*T2^9 - 11086*T1^10*T2^9 + 7720*T1^11*T2^9 - 1479*T1^12*T2^9 - 
      1397*T1^4*T2^10 + 6277*T1^5*T2^10 - 11433*T1^6*T2^10 + 
      9824*T1^7*T2^10 + 897*T1^8*T2^10 - 11086*T1^9*T2^10 + 
      12027*T1^10*T2^10 - 5963*T1^11*T2^10 + 1153*T1^12*T2^10 + 
      75*T1^5*T2^11 - 800*T1^6*T2^11 + 3037*T1^7*T2^11 - 6200*T1^8*T2^11 + 
      7720*T1^9*T2^11 - 5963*T1^10*T2^11 + 2680*T1^11*T2^11 - 
      525*T1^12*T2^11 + 105*T1^6*T2^12 - 525*T1^7*T2^12 + 1153*T1^8*T2^12 - 
      1479*T1^9*T2^12 + 1153*T1^10*T2^12 - 525*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 781] -> 
  {-((2 - 14*T + 37*T^2 - 51*T^3 + 37*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-25 + 176*T1 - 466*T1^2 + 643*T1^3 - 466*T1^4 + 176*T1^5 - 25*T1^6 + 
      176*T2 - 1120*T1*T2 + 2439*T1^2*T2 - 2287*T1^3*T2 + 177*T1^4*T2 + 
      1011*T1^5*T2 - 672*T1^6*T2 + 120*T1^7*T2 - 466*T2^2 + 2439*T1*T2^2 - 
      2893*T1^2*T2^2 - 2680*T1^3*T2^2 + 10069*T1^4*T2^2 - 8156*T1^5*T2^2 + 
      2287*T1^6*T2^2 + 367*T1^7*T2^2 - 170*T1^8*T2^2 + 643*T2^3 - 
      2287*T1*T2^3 - 2680*T1^2*T2^3 + 17094*T1^3*T2^3 - 23600*T1^4*T2^3 + 
      6378*T1^5*T2^3 + 6894*T1^6*T2^3 - 5714*T1^7*T2^3 + 961*T1^8*T2^3 + 
      31*T1^9*T2^3 - 466*T2^4 + 177*T1*T2^4 + 10069*T1^2*T2^4 - 
      23600*T1^3*T2^4 + 12405*T1^4*T2^4 + 24143*T1^5*T2^4 - 30071*T1^6*T2^4 + 
      11284*T1^7*T2^4 + 1029*T1^8*T2^4 - 1111*T1^9*T2^4 + 126*T1^10*T2^4 + 
      176*T2^5 + 1011*T1*T2^5 - 8156*T1^2*T2^5 + 6378*T1^3*T2^5 + 
      24143*T1^4*T2^5 - 56247*T1^5*T2^5 + 32795*T1^6*T2^5 + 5088*T1^7*T2^5 - 
      13788*T1^8*T2^5 + 4646*T1^9*T2^5 - 137*T1^10*T2^5 - 104*T1^11*T2^5 - 
      25*T2^6 - 672*T1*T2^6 + 2287*T1^2*T2^6 + 6894*T1^3*T2^6 - 
      30071*T1^4*T2^6 + 32795*T1^5*T2^6 + 11028*T1^6*T2^6 - 41407*T1^7*T2^6 + 
      26663*T1^8*T2^6 - 3654*T1^9*T2^6 - 2325*T1^10*T2^6 + 560*T1^11*T2^6 + 
      23*T1^12*T2^6 + 120*T1*T2^7 + 367*T1^2*T2^7 - 5714*T1^3*T2^7 + 
      11284*T1^4*T2^7 + 5088*T1^5*T2^7 - 41407*T1^6*T2^7 + 47635*T1^7*T2^7 - 
      13967*T1^8*T2^7 - 8882*T1^9*T2^7 + 7088*T1^10*T2^7 - 781*T1^11*T2^7 - 
      160*T1^12*T2^7 - 170*T1^2*T2^8 + 961*T1^3*T2^8 + 1029*T1^4*T2^8 - 
      13788*T1^5*T2^8 + 26663*T1^6*T2^8 - 13967*T1^7*T2^8 - 15813*T1^8*T2^8 + 
      21096*T1^9*T2^8 - 8011*T1^10*T2^8 - 327*T1^11*T2^8 + 422*T1^12*T2^8 + 
      31*T1^3*T2^9 - 1111*T1^4*T2^9 + 4646*T1^5*T2^9 - 3654*T1^6*T2^9 - 
      8882*T1^7*T2^9 + 21096*T1^8*T2^9 - 13854*T1^9*T2^9 + 1612*T1^10*T2^9 + 
      2137*T1^11*T2^9 - 581*T1^12*T2^9 + 126*T1^4*T2^10 - 137*T1^5*T2^10 - 
      2325*T1^6*T2^10 + 7088*T1^7*T2^10 - 8011*T1^8*T2^10 + 1612*T1^9*T2^10 + 
      2855*T1^10*T2^10 - 2209*T1^11*T2^10 + 422*T1^12*T2^10 - 
      104*T1^5*T2^11 + 560*T1^6*T2^11 - 781*T1^7*T2^11 - 327*T1^8*T2^11 + 
      2137*T1^9*T2^11 - 2209*T1^10*T2^11 + 1008*T1^11*T2^11 - 
      160*T1^12*T2^11 + 23*T1^6*T2^12 - 160*T1^7*T2^12 + 422*T1^8*T2^12 - 
      581*T1^9*T2^12 + 422*T1^10*T2^12 - 160*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 782] -> 
  {(2 - 14*T + 36*T^2 - 47*T^3 + 36*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-31 + 216*T1 - 554*T1^2 + 723*T1^3 - 554*T1^4 + 216*T1^5 - 31*T1^6 + 
     216*T2 - 1344*T1*T2 + 2741*T1^2*T2 - 2181*T1^3*T2 + 143*T1^4*T2 + 
     1341*T1^5*T2 - 896*T1^6*T2 + 160*T1^7*T2 - 554*T2^2 + 2741*T1*T2^2 - 
     2469*T1^2*T2^2 - 4829*T1^3*T2^2 + 10917*T1^4*T2^2 - 9581*T1^5*T2^2 + 
     2427*T1^6*T2^2 + 725*T1^7*T2^2 - 266*T1^8*T2^2 + 723*T2^3 - 
     2181*T1*T2^3 - 4829*T1^2*T2^3 + 20656*T1^3*T2^3 - 21491*T1^4*T2^3 + 
     6241*T1^5*T2^3 + 9274*T1^6*T2^3 - 6917*T1^7*T2^3 + 759*T1^8*T2^3 + 
     159*T1^9*T2^3 - 554*T2^4 + 143*T1*T2^4 + 10917*T1^2*T2^4 - 
     21491*T1^3*T2^4 + 1832*T1^4*T2^4 + 25752*T1^5*T2^4 - 31804*T1^6*T2^4 + 
     9717*T1^7*T2^4 + 2861*T1^8*T2^4 - 1257*T1^9*T2^4 + 22*T1^10*T2^4 + 
     216*T2^5 + 1341*T1*T2^5 - 9581*T1^2*T2^5 + 6241*T1^3*T2^5 + 
     25752*T1^4*T2^5 - 43192*T1^5*T2^5 + 23884*T1^6*T2^5 + 10200*T1^7*T2^5 - 
     14539*T1^8*T2^5 + 3163*T1^9*T2^5 + 277*T1^10*T2^5 - 64*T1^11*T2^5 - 
     31*T2^6 - 896*T1*T2^6 + 2427*T1^2*T2^6 + 9274*T1^3*T2^6 - 
     31804*T1^4*T2^6 + 23884*T1^5*T2^6 + 12612*T1^6*T2^6 - 35332*T1^7*T2^6 + 
     20340*T1^8*T2^6 + 82*T1^9*T2^6 - 2501*T1^10*T2^6 + 336*T1^11*T2^6 + 
     17*T1^12*T2^6 + 160*T1*T2^7 + 725*T1^2*T2^7 - 6917*T1^3*T2^7 + 
     9717*T1^4*T2^7 + 10200*T1^5*T2^7 - 35332*T1^6*T2^7 + 31744*T1^7*T2^7 - 
     5352*T1^8*T2^7 - 11063*T1^9*T2^7 + 5827*T1^10*T2^7 - 339*T1^11*T2^7 - 
     120*T1^12*T2^7 - 266*T1^2*T2^8 + 759*T1^3*T2^8 + 2861*T1^4*T2^8 - 
     14539*T1^5*T2^8 + 20340*T1^6*T2^8 - 5352*T1^7*T2^8 - 13296*T1^8*T2^8 + 
     16669*T1^9*T2^8 - 5195*T1^10*T2^8 - 641*T1^11*T2^8 + 310*T1^12*T2^8 + 
     159*T1^3*T2^9 - 1257*T1^4*T2^9 + 3163*T1^5*T2^9 + 82*T1^6*T2^9 - 
     11063*T1^7*T2^9 + 16669*T1^8*T2^9 - 11300*T1^9*T2^9 + 1075*T1^10*T2^9 + 
     1683*T1^11*T2^9 - 405*T1^12*T2^9 + 22*T1^4*T2^10 + 277*T1^5*T2^10 - 
     2501*T1^6*T2^10 + 5827*T1^7*T2^10 - 5195*T1^8*T2^10 + 1075*T1^9*T2^10 + 
     2395*T1^10*T2^10 - 1739*T1^11*T2^10 + 310*T1^12*T2^10 - 64*T1^5*T2^11 + 
     336*T1^6*T2^11 - 339*T1^7*T2^11 - 641*T1^8*T2^11 + 1683*T1^9*T2^11 - 
     1739*T1^10*T2^11 + 784*T1^11*T2^11 - 120*T1^12*T2^11 + 17*T1^6*T2^12 - 
     120*T1^7*T2^12 + 310*T1^8*T2^12 - 405*T1^9*T2^12 + 310*T1^10*T2^12 - 
     120*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 783] -> 
  {(2 - 16*T + 45*T^2 - 61*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-33 + 264*T1 - 742*T1^2 + 1005*T1^3 - 742*T1^4 + 264*T1^5 - 33*T1^6 + 
     264*T2 - 1912*T1*T2 + 4332*T1^2*T2 - 3540*T1^3*T2 - 148*T1^4*T2 + 
     2380*T1^5*T2 - 1336*T1^6*T2 + 200*T1^7*T2 - 742*T2^2 + 4332*T1*T2^2 - 
     4312*T1^2*T2^2 - 10029*T1^3*T2^2 + 22988*T1^4*T2^2 - 18129*T1^5*T2^2 + 
     3428*T1^6*T2^2 + 1452*T1^7*T2^2 - 382*T1^8*T2^2 + 1005*T2^3 - 
     3540*T1*T2^3 - 10029*T1^2*T2^3 + 45310*T1^3*T2^3 - 47189*T1^4*T2^3 + 
     6805*T1^5*T2^3 + 24448*T1^6*T2^3 - 13539*T1^7*T2^3 + 876*T1^8*T2^3 + 
     273*T1^9*T2^3 - 742*T2^4 - 148*T1*T2^4 + 22988*T1^2*T2^4 - 
     47189*T1^3*T2^4 - 4742*T1^4*T2^4 + 77682*T1^5*T2^4 - 77102*T1^6*T2^4 + 
     14787*T1^7*T2^4 + 7956*T1^8*T2^4 - 2004*T1^9*T2^4 - 22*T1^10*T2^4 + 
     264*T2^5 + 2380*T1*T2^5 - 18129*T1^2*T2^5 + 6805*T1^3*T2^5 + 
     77682*T1^4*T2^5 - 116395*T1^5*T2^5 + 45695*T1^6*T2^5 + 39117*T1^7*T2^5 - 
     31225*T1^8*T2^5 + 3741*T1^9*T2^5 + 620*T1^10*T2^5 - 56*T1^11*T2^5 - 
     33*T2^6 - 1336*T1*T2^6 + 3428*T1^2*T2^6 + 24448*T1^3*T2^6 - 
     77102*T1^4*T2^6 + 45695*T1^5*T2^6 + 53172*T1^6*T2^6 - 92907*T1^7*T2^6 + 
     35664*T1^8*T2^6 + 4264*T1^9*T2^6 - 3776*T1^10*T2^6 + 328*T1^11*T2^6 + 
     15*T1^12*T2^6 + 200*T1*T2^7 + 1452*T1^2*T2^7 - 13539*T1^3*T2^7 + 
     14787*T1^4*T2^7 + 39117*T1^5*T2^7 - 92907*T1^6*T2^7 + 69183*T1^7*T2^7 + 
     552*T1^8*T2^7 - 23243*T1^9*T2^7 + 8331*T1^10*T2^7 - 308*T1^11*T2^7 - 
     120*T1^12*T2^7 - 382*T1^2*T2^8 + 876*T1^3*T2^8 + 7956*T1^4*T2^8 - 
     31225*T1^5*T2^8 + 35664*T1^6*T2^8 + 552*T1^7*T2^8 - 36696*T1^8*T2^8 + 
     30751*T1^9*T2^8 - 7076*T1^10*T2^8 - 980*T1^11*T2^8 + 338*T1^12*T2^8 + 
     273*T1^3*T2^9 - 2004*T1^4*T2^9 + 3741*T1^5*T2^9 + 4264*T1^6*T2^9 - 
     23243*T1^7*T2^9 + 30751*T1^8*T2^9 - 16598*T1^9*T2^9 + 231*T1^10*T2^9 + 
     2412*T1^11*T2^9 - 459*T1^12*T2^9 - 22*T1^4*T2^10 + 620*T1^5*T2^10 - 
     3776*T1^6*T2^10 + 8331*T1^7*T2^10 - 7076*T1^8*T2^10 + 231*T1^9*T2^10 + 
     3964*T1^10*T2^10 - 2260*T1^11*T2^10 + 338*T1^12*T2^10 - 56*T1^5*T2^11 + 
     328*T1^6*T2^11 - 308*T1^7*T2^11 - 980*T1^8*T2^11 + 2412*T1^9*T2^11 - 
     2260*T1^10*T2^11 + 904*T1^11*T2^11 - 120*T1^12*T2^11 + 15*T1^6*T2^12 - 
     120*T1^7*T2^12 + 338*T1^8*T2^12 - 459*T1^9*T2^12 + 338*T1^10*T2^12 - 
     120*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 784] -> 
  {(2 - 9*T + 23*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-33 + 148*T1 - 378*T1^2 + 641*T1^3 - 773*T1^4 + 641*T1^5 - 
     378*T1^6 + 148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1194*T1^2*T2 - 
     1594*T1^3*T2 + 1294*T1^4*T2 - 254*T1^5*T2 - 478*T1^6*T2 + 618*T1^7*T2 - 
     354*T1^8*T2 + 112*T1^9*T2 - 378*T2^2 + 1194*T1*T2^2 - 2281*T1^2*T2^2 + 
     2495*T1^3*T2^2 - 1401*T1^4*T2^2 - 551*T1^5*T2^2 + 807*T1^6*T2^2 - 
     265*T1^7*T2^2 - 349*T1^8*T2^2 + 366*T1^9*T2^2 - 194*T1^10*T2^2 + 
     641*T2^3 - 1594*T1*T2^3 + 2495*T1^2*T2^3 - 1597*T1^3*T2^3 - 
     526*T1^4*T2^3 + 2600*T1^5*T2^3 - 694*T1^6*T2^3 - 796*T1^7*T2^3 + 
     1373*T1^8*T2^3 - 610*T1^9*T2^3 + 98*T1^10*T2^3 + 173*T1^11*T2^3 - 
     773*T2^4 + 1294*T1*T2^4 - 1401*T1^2*T2^4 - 526*T1^3*T2^4 + 
     1938*T1^4*T2^4 - 1702*T1^5*T2^4 - 3508*T1^6*T2^4 + 3866*T1^7*T2^4 - 
     2202*T1^8*T2^4 - 448*T1^9*T2^4 + 929*T1^10*T2^4 - 686*T1^11*T2^4 - 
     21*T1^12*T2^4 + 641*T2^5 - 254*T1*T2^5 - 551*T1^2*T2^5 + 
     2600*T1^3*T2^5 - 1702*T1^4*T2^5 - 1390*T1^5*T2^5 + 7552*T1^6*T2^5 - 
     3392*T1^7*T2^5 - 850*T1^8*T2^5 + 3293*T1^9*T2^5 - 1510*T1^10*T2^5 + 
     106*T1^11*T2^5 + 718*T1^12*T2^5 - 139*T1^13*T2^5 - 378*T2^6 - 
     478*T1*T2^6 + 807*T1^2*T2^6 - 694*T1^3*T2^6 - 3508*T1^4*T2^6 + 
     7552*T1^5*T2^6 - 9676*T1^6*T2^6 - 1130*T1^7*T2^6 + 5888*T1^8*T2^6 - 
     4892*T1^9*T2^6 + 110*T1^10*T2^6 + 1376*T1^11*T2^6 - 1157*T1^12*T2^6 - 
     154*T1^13*T2^6 + 174*T1^14*T2^6 + 148*T2^7 + 618*T1*T2^7 - 
     265*T1^2*T2^7 - 796*T1^3*T2^7 + 3866*T1^4*T2^7 - 3392*T1^5*T2^7 - 
     1130*T1^6*T2^7 + 12567*T1^7*T2^7 - 9963*T1^8*T2^7 + 1357*T1^9*T2^7 + 
     4552*T1^10*T2^7 - 3421*T1^11*T2^7 + 866*T1^12*T2^7 + 770*T1^13*T2^7 - 
     318*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 - 
     349*T1^2*T2^8 + 1373*T1^3*T2^8 - 2202*T1^4*T2^8 - 850*T1^5*T2^8 + 
     5888*T1^6*T2^8 - 9963*T1^7*T2^8 - 12*T1^8*T2^8 + 9483*T1^9*T2^8 - 
     8370*T1^10*T2^8 + 2102*T1^11*T2^8 + 1638*T1^12*T2^8 - 1657*T1^13*T2^8 + 
     245*T1^14*T2^8 + 330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 
     366*T1^2*T2^9 - 610*T1^3*T2^9 - 448*T1^4*T2^9 + 3293*T1^5*T2^9 - 
     4892*T1^6*T2^9 + 1357*T1^7*T2^9 + 9483*T1^8*T2^9 - 13047*T1^9*T2^9 + 
     3844*T1^10*T2^9 + 3052*T1^11*T2^9 - 3994*T1^12*T2^9 + 1214*T1^13*T2^9 + 
     425*T1^14*T2^9 - 570*T1^15*T2^9 - 140*T1^16*T2^9 - 194*T1^2*T2^10 + 
     98*T1^3*T2^10 + 929*T1^4*T2^10 - 1510*T1^5*T2^10 + 110*T1^6*T2^10 + 
     4552*T1^7*T2^10 - 8370*T1^8*T2^10 + 3844*T1^9*T2^10 + 7194*T1^10*T2^10 - 
     7892*T1^11*T2^10 + 3728*T1^12*T2^10 + 560*T1^13*T2^10 - 
     1035*T1^14*T2^10 + 422*T1^15*T2^10 + 358*T1^16*T2^10 + 173*T1^3*T2^11 - 
     686*T1^4*T2^11 + 106*T1^5*T2^11 + 1376*T1^6*T2^11 - 3421*T1^7*T2^11 + 
     2102*T1^8*T2^11 + 3052*T1^9*T2^11 - 7892*T1^10*T2^11 + 
     2642*T1^11*T2^11 + 1574*T1^12*T2^11 - 2734*T1^13*T2^11 + 
     763*T1^14*T2^11 + 286*T1^15*T2^11 - 607*T1^16*T2^11 - 21*T1^4*T2^12 + 
     718*T1^5*T2^12 - 1157*T1^6*T2^12 + 866*T1^7*T2^12 + 1638*T1^8*T2^12 - 
     3994*T1^9*T2^12 + 3728*T1^10*T2^12 + 1574*T1^11*T2^12 - 
     2502*T1^12*T2^12 + 944*T1^13*T2^12 + 1173*T1^14*T2^12 - 
     1262*T1^15*T2^12 + 731*T1^16*T2^12 - 139*T1^5*T2^13 - 154*T1^6*T2^13 + 
     770*T1^7*T2^13 - 1657*T1^8*T2^13 + 1214*T1^9*T2^13 + 560*T1^10*T2^13 - 
     2734*T1^11*T2^13 + 944*T1^12*T2^13 + 1313*T1^13*T2^13 - 
     2335*T1^14*T2^13 + 1538*T1^15*T2^13 - 607*T1^16*T2^13 + 174*T1^6*T2^14 - 
     318*T1^7*T2^14 + 245*T1^8*T2^14 + 425*T1^9*T2^14 - 1035*T1^10*T2^14 + 
     763*T1^11*T2^14 + 1173*T1^12*T2^14 - 2335*T1^13*T2^14 + 
     2177*T1^14*T2^14 - 1146*T1^15*T2^14 + 358*T1^16*T2^14 - 104*T1^7*T2^15 + 
     330*T1^8*T2^15 - 570*T1^9*T2^15 + 422*T1^10*T2^15 + 286*T1^11*T2^15 - 
     1262*T1^12*T2^15 + 1538*T1^13*T2^15 - 1146*T1^14*T2^15 + 
     528*T1^15*T2^15 - 140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 
     358*T1^10*T2^16 - 607*T1^11*T2^16 + 731*T1^12*T2^16 - 607*T1^13*T2^16 + 
     358*T1^14*T2^16 - 140*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 785] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4, 
   (-6 + 54*T1 - 192*T1^2 + 372*T1^3 - 462*T1^4 + 372*T1^5 - 192*T1^6 + 
     54*T1^7 - 6*T1^8 + 54*T2 - 441*T1*T2 + 1323*T1^2*T2 - 1908*T1^3*T2 + 
     1368*T1^4*T2 + 117*T1^5*T2 - 1062*T1^6*T2 + 954*T1^7*T2 - 351*T1^8*T2 + 
     45*T1^9*T2 - 192*T2^2 + 1323*T1*T2^2 - 2635*T1^2*T2^2 + 142*T1^3*T2^2 + 
     6130*T1^4*T2^2 - 11215*T1^5*T2^2 + 9010*T1^6*T2^2 - 3250*T1^7*T2^2 - 
     651*T1^8*T2^2 + 747*T1^9*T2^2 - 128*T1^10*T2^2 + 372*T2^3 - 
     1908*T1*T2^3 + 142*T1^2*T2^3 + 12620*T1^3*T2^3 - 25152*T1^4*T2^3 + 
     22178*T1^5*T2^3 - 370*T1^6*T2^3 - 14076*T1^7*T2^3 + 12530*T1^8*T2^3 - 
     2930*T1^9*T2^3 - 522*T1^10*T2^3 + 186*T1^11*T2^3 - 462*T2^4 + 
     1368*T1*T2^4 + 6130*T1^2*T2^4 - 25152*T1^3*T2^4 + 21411*T1^4*T2^4 + 
     14722*T1^5*T2^4 - 56865*T1^6*T2^4 + 48618*T1^7*T2^4 - 14329*T1^8*T2^4 - 
     9652*T1^9*T2^4 + 5942*T1^10*T2^4 - 288*T1^11*T2^4 - 154*T1^12*T2^4 + 
     372*T2^5 + 117*T1*T2^5 - 11215*T1^2*T2^5 + 22178*T1^3*T2^5 + 
     14722*T1^4*T2^5 - 69229*T1^5*T2^5 + 82013*T1^6*T2^5 - 11047*T1^7*T2^5 - 
     41997*T1^8*T2^5 + 40485*T1^9*T2^5 - 5290*T1^10*T2^5 - 4408*T1^11*T2^5 + 
     828*T1^12*T2^5 + 62*T1^13*T2^5 - 192*T2^6 - 1062*T1*T2^6 + 
     9010*T1^2*T2^6 - 370*T1^3*T2^6 - 56865*T1^4*T2^6 + 82013*T1^5*T2^6 - 
     28191*T1^6*T2^6 - 76947*T1^7*T2^6 + 81225*T1^8*T2^6 - 21443*T1^9*T2^6 - 
     27697*T1^10*T2^6 + 14798*T1^11*T2^6 - 6*T1^12*T2^6 - 558*T1^13*T2^6 + 
     54*T2^7 + 954*T1*T2^7 - 3250*T1^2*T2^7 - 14076*T1^3*T2^7 + 
     48618*T1^4*T2^7 - 11047*T1^5*T2^7 - 76947*T1^6*T2^7 + 126617*T1^7*T2^7 - 
     35891*T1^8*T2^7 - 51359*T1^9*T2^7 + 61221*T1^10*T2^7 - 9677*T1^11*T2^7 - 
     7456*T1^12*T2^7 + 1742*T1^13*T2^7 + 81*T1^14*T2^7 - 9*T1^15*T2^7 - 
     6*T2^8 - 351*T1*T2^8 - 651*T1^2*T2^8 + 12530*T1^3*T2^8 - 
     14329*T1^4*T2^8 - 41997*T1^5*T2^8 + 81225*T1^6*T2^8 - 35891*T1^7*T2^8 - 
     83844*T1^8*T2^8 + 107975*T1^9*T2^8 - 44819*T1^10*T2^8 - 
     20695*T1^11*T2^8 + 18035*T1^12*T2^8 - 1590*T1^13*T2^8 - 673*T1^14*T2^8 + 
     63*T1^15*T2^8 + 2*T1^16*T2^8 + 45*T1*T2^9 + 747*T1^2*T2^9 - 
     2930*T1^3*T2^9 - 9652*T1^4*T2^9 + 40485*T1^5*T2^9 - 21443*T1^6*T2^9 - 
     51359*T1^7*T2^9 + 107975*T1^8*T2^9 - 54533*T1^9*T2^9 - 
     25771*T1^10*T2^9 + 50825*T1^11*T2^9 - 17810*T1^12*T2^9 - 
     3032*T1^13*T2^9 + 2062*T1^14*T2^9 - 126*T1^15*T2^9 - 18*T1^16*T2^9 - 
     128*T1^2*T2^10 - 522*T1^3*T2^10 + 5942*T1^4*T2^10 - 5290*T1^5*T2^10 - 
     27697*T1^6*T2^10 + 61221*T1^7*T2^10 - 44819*T1^8*T2^10 - 
     25771*T1^9*T2^10 + 64597*T1^10*T2^10 - 42235*T1^11*T2^10 + 
     1471*T1^12*T2^10 + 9878*T1^13*T2^10 - 3074*T1^14*T2^10 - 
     18*T1^15*T2^10 + 64*T1^16*T2^10 + 186*T1^3*T2^11 - 288*T1^4*T2^11 - 
     4408*T1^5*T2^11 + 14798*T1^6*T2^11 - 9677*T1^7*T2^11 - 
     20695*T1^8*T2^11 + 50825*T1^9*T2^11 - 42235*T1^10*T2^11 + 
     6537*T1^11*T2^11 + 16086*T1^12*T2^11 - 12670*T1^13*T2^11 + 
     2399*T1^14*T2^11 + 423*T1^15*T2^11 - 124*T1^16*T2^11 - 154*T1^4*T2^12 + 
     828*T1^5*T2^12 - 6*T1^6*T2^12 - 7456*T1^7*T2^12 + 18035*T1^8*T2^12 - 
     17810*T1^9*T2^12 + 1471*T1^10*T2^12 + 16086*T1^11*T2^12 - 
     17705*T1^12*T2^12 + 8044*T1^13*T2^12 - 194*T1^14*T2^12 - 
     828*T1^15*T2^12 + 154*T1^16*T2^12 + 62*T1^5*T2^13 - 558*T1^6*T2^13 + 
     1742*T1^7*T2^13 - 1590*T1^8*T2^13 - 3032*T1^9*T2^13 + 9878*T1^10*T2^13 - 
     12670*T1^11*T2^13 + 8044*T1^12*T2^13 - 1680*T1^13*T2^13 - 
     1330*T1^14*T2^13 + 828*T1^15*T2^13 - 124*T1^16*T2^13 + 81*T1^7*T2^14 - 
     673*T1^8*T2^14 + 2062*T1^9*T2^14 - 3074*T1^10*T2^14 + 2399*T1^11*T2^14 - 
     194*T1^12*T2^14 - 1330*T1^13*T2^14 + 1311*T1^14*T2^14 - 
     495*T1^15*T2^14 + 64*T1^16*T2^14 - 9*T1^7*T2^15 + 63*T1^8*T2^15 - 
     126*T1^9*T2^15 - 18*T1^10*T2^15 + 423*T1^11*T2^15 - 828*T1^12*T2^15 + 
     828*T1^13*T2^15 - 495*T1^14*T2^15 + 153*T1^15*T2^15 - 18*T1^16*T2^15 + 
     2*T1^8*T2^16 - 18*T1^9*T2^16 + 64*T1^10*T2^16 - 124*T1^11*T2^16 + 
     154*T1^12*T2^16 - 124*T1^13*T2^16 + 64*T1^14*T2^16 - 18*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 786] -> 
  {-(((-2 + 5*T - 5*T^2 + T^3)*(-1 + 5*T - 5*T^2 + 2*T^3))/T^3), 
   -((-25 + 188*T1 - 502*T1^2 + 691*T1^3 - 502*T1^4 + 188*T1^5 - 25*T1^6 + 
      188*T2 - 1286*T1*T2 + 2815*T1^2*T2 - 2625*T1^3*T2 + 225*T1^4*T2 + 
      1165*T1^5*T2 - 776*T1^6*T2 + 128*T1^7*T2 - 502*T2^2 + 2815*T1*T2^2 - 
      2991*T1^2*T2^2 - 4262*T1^3*T2^2 + 13167*T1^4*T2^2 - 10662*T1^5*T2^2 + 
      3089*T1^6*T2^2 + 415*T1^7*T2^2 - 182*T1^8*T2^2 + 691*T2^3 - 
      2625*T1*T2^3 - 4262*T1^2*T2^3 + 22768*T1^3*T2^3 - 30254*T1^4*T2^3 + 
      8596*T1^5*T2^3 + 8578*T1^6*T2^3 - 7262*T1^7*T2^3 + 1125*T1^8*T2^3 + 
      31*T1^9*T2^3 - 502*T2^4 + 225*T1*T2^4 + 13167*T1^2*T2^4 - 
      30254*T1^3*T2^4 + 15339*T1^4*T2^4 + 30273*T1^5*T2^4 - 38501*T1^6*T2^4 + 
      14846*T1^7*T2^4 + 1217*T1^8*T2^4 - 1275*T1^9*T2^4 + 138*T1^10*T2^4 + 
      188*T2^5 + 1165*T1*T2^5 - 10662*T1^2*T2^5 + 8596*T1^3*T2^5 + 
      30273*T1^4*T2^5 - 70452*T1^5*T2^5 + 42098*T1^6*T2^5 + 5873*T1^7*T2^5 - 
      17754*T1^8*T2^5 + 5938*T1^9*T2^5 - 185*T1^10*T2^5 - 112*T1^11*T2^5 - 
      25*T2^6 - 776*T1*T2^6 + 3089*T1^2*T2^6 + 8578*T1^3*T2^6 - 
      38501*T1^4*T2^6 + 42098*T1^5*T2^6 + 12792*T1^6*T2^6 - 52062*T1^7*T2^6 + 
      34559*T1^8*T2^6 - 4742*T1^9*T2^6 - 3051*T1^10*T2^6 + 664*T1^11*T2^6 + 
      23*T1^12*T2^6 + 128*T1*T2^7 + 415*T1^2*T2^7 - 7262*T1^3*T2^7 + 
      14846*T1^4*T2^7 + 5873*T1^5*T2^7 - 52062*T1^6*T2^7 + 60488*T1^7*T2^7 - 
      18527*T1^8*T2^7 - 11504*T1^9*T2^7 + 9338*T1^10*T2^7 - 935*T1^11*T2^7 - 
      172*T1^12*T2^7 - 182*T1^2*T2^8 + 1125*T1^3*T2^8 + 1217*T1^4*T2^8 - 
      17754*T1^5*T2^8 + 34559*T1^6*T2^8 - 18527*T1^7*T2^8 - 19281*T1^8*T2^8 + 
      27346*T1^9*T2^8 - 10733*T1^10*T2^8 - 375*T1^11*T2^8 + 458*T1^12*T2^8 + 
      31*T1^3*T2^9 - 1275*T1^4*T2^9 + 5938*T1^5*T2^9 - 4742*T1^6*T2^9 - 
      11504*T1^7*T2^9 + 27346*T1^8*T2^9 - 18932*T1^9*T2^9 + 2938*T1^10*T2^9 + 
      2475*T1^11*T2^9 - 629*T1^12*T2^9 + 138*T1^4*T2^10 - 185*T1^5*T2^10 - 
      3051*T1^6*T2^10 + 9338*T1^7*T2^10 - 10733*T1^8*T2^10 + 
      2938*T1^9*T2^10 + 3029*T1^10*T2^10 - 2585*T1^11*T2^10 + 
      458*T1^12*T2^10 - 112*T1^5*T2^11 + 664*T1^6*T2^11 - 935*T1^7*T2^11 - 
      375*T1^8*T2^11 + 2475*T1^9*T2^11 - 2585*T1^10*T2^11 + 
      1174*T1^11*T2^11 - 172*T1^12*T2^11 + 23*T1^6*T2^12 - 172*T1^7*T2^12 + 
      458*T1^8*T2^12 - 629*T1^9*T2^12 + 458*T1^10*T2^12 - 172*T1^11*T2^12 + 
      23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 787] -> {(8 - 29*T + 43*T^2 - 29*T^3 + 8*T^4)/T^2, 
   (-960 + 3488*T1 - 5168*T1^2 + 3488*T1^3 - 960*T1^4 + 3488*T2 - 
     11034*T1*T2 + 12826*T1^2*T2 - 3878*T1^3*T2 - 2450*T1^4*T2 + 
     1632*T1^5*T2 - 5168*T2^2 + 12826*T1*T2^2 - 5765*T1^2*T2^2 - 
     14551*T1^3*T2^2 + 18315*T1^4*T2^2 - 7126*T1^5*T2^2 + 336*T1^6*T2^2 + 
     3488*T2^3 - 3878*T1*T2^3 - 14551*T1^2*T2^3 + 36859*T1^3*T2^3 - 
     27173*T1^4*T2^3 + 1660*T1^5*T2^3 + 6330*T1^6*T2^3 - 2080*T1^7*T2^3 - 
     960*T2^4 - 2450*T1*T2^4 + 18315*T1^2*T2^4 - 27173*T1^3*T2^4 + 
     3828*T1^4*T2^4 + 24273*T1^5*T2^4 - 19455*T1^6*T2^4 + 3582*T1^7*T2^4 + 
     1088*T1^8*T2^4 + 1632*T1*T2^5 - 7126*T1^2*T2^5 + 1660*T1^3*T2^5 + 
     24273*T1^4*T2^5 - 39759*T1^5*T2^5 + 17871*T1^6*T2^5 + 3082*T1^7*T2^5 - 
     3936*T1^8*T2^5 + 336*T1^2*T2^6 + 6330*T1^3*T2^6 - 19455*T1^4*T2^6 + 
     17871*T1^5*T2^6 + 4625*T1^6*T2^6 - 13622*T1^7*T2^6 + 5840*T1^8*T2^6 - 
     2080*T1^3*T2^7 + 3582*T1^4*T2^7 + 3082*T1^5*T2^7 - 13622*T1^6*T2^7 + 
     12166*T1^7*T2^7 - 3936*T1^8*T2^7 + 1088*T1^4*T2^8 - 3936*T1^5*T2^8 + 
     5840*T1^6*T2^8 - 3936*T1^7*T2^8 + 1088*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 788] -> 
  {-((1 - 8*T + 31*T^2 - 67*T^3 + 85*T^4 - 67*T^5 + 31*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 155*T1^2 + 335*T1^3 - 425*T1^4 + 335*T1^5 - 
      155*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 984*T1^2*T2 - 
      1688*T1^3*T2 + 1256*T1^4*T2 + 40*T1^5*T2 - 904*T1^6*T2 + 672*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 155*T2^2 + 984*T1*T2^2 - 2849*T1^2*T2^2 + 
      3175*T1^3*T2^2 + 1157*T1^4*T2^2 - 5233*T1^5*T2^2 + 4505*T1^6*T2^2 - 
      483*T1^7*T2^2 - 989*T1^8*T2^2 + 488*T1^9*T2^2 - 93*T1^10*T2^2 + 
      335*T2^3 - 1688*T1*T2^3 + 3175*T1^2*T2^3 + 2619*T1^3*T2^3 - 
      16273*T1^4*T2^3 + 16333*T1^5*T2^3 - 1665*T1^6*T2^3 - 10662*T1^7*T2^3 + 
      6615*T1^8*T2^3 - 824*T1^9*T2^3 - 328*T1^10*T2^3 + 134*T1^11*T2^3 - 
      425*T2^4 + 1256*T1*T2^4 + 1157*T1^2*T2^4 - 16273*T1^3*T2^4 + 
      26799*T1^4*T2^4 + 7597*T1^5*T2^4 - 46711*T1^6*T2^4 + 45425*T1^7*T2^4 - 
      7889*T1^8*T2^4 - 6893*T1^9*T2^4 + 3121*T1^10*T2^4 - 392*T1^11*T2^4 - 
      85*T1^12*T2^4 + 335*T2^5 + 40*T1*T2^5 - 5233*T1^2*T2^5 + 
      16333*T1^3*T2^5 + 7597*T1^4*T2^5 - 87484*T1^5*T2^5 + 101768*T1^6*T2^5 - 
      27081*T1^7*T2^5 - 50878*T1^8*T2^5 + 36839*T1^9*T2^5 - 5769*T1^10*T2^5 - 
      1375*T1^11*T2^5 + 680*T1^12*T2^5 - 155*T2^6 - 904*T1*T2^6 + 
      4505*T1^2*T2^6 - 1665*T1^3*T2^6 - 46711*T1^4*T2^6 + 101768*T1^5*T2^6 - 
      11047*T1^6*T2^6 - 127029*T1^7*T2^6 + 152617*T1^8*T2^6 - 
      41528*T1^9*T2^6 - 16449*T1^10*T2^6 + 10177*T1^11*T2^6 - 
      1611*T1^12*T2^6 - 248*T1^13*T2^6 + 31*T1^14*T2^6 + 40*T2^7 + 
      672*T1*T2^7 - 483*T1^2*T2^7 - 10662*T1^3*T2^7 + 45425*T1^4*T2^7 - 
      27081*T1^5*T2^7 - 127029*T1^6*T2^7 + 204608*T1^7*T2^7 - 
      98250*T1^8*T2^7 - 65818*T1^9*T2^7 + 72874*T1^10*T2^7 - 
      18161*T1^11*T2^7 - 1197*T1^12*T2^7 + 1470*T1^13*T2^7 - 120*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 - 989*T1^2*T2^8 + 6615*T1^3*T2^8 - 
      7889*T1^4*T2^8 - 50878*T1^5*T2^8 + 152617*T1^6*T2^8 - 98250*T1^7*T2^8 - 
      78612*T1^8*T2^8 + 171222*T1^9*T2^8 - 79669*T1^10*T2^8 - 
      6982*T1^11*T2^8 + 14403*T1^12*T2^8 - 3791*T1^13*T2^8 + 31*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 488*T1^2*T2^9 - 
      824*T1^3*T2^9 - 6893*T1^4*T2^9 + 36839*T1^5*T2^9 - 41528*T1^6*T2^9 - 
      65818*T1^7*T2^9 + 171222*T1^8*T2^9 - 131636*T1^9*T2^9 - 
      4607*T1^10*T2^9 + 58427*T1^11*T2^9 - 26747*T1^12*T2^9 + 
      2572*T1^13*T2^9 + 1129*T1^14*T2^9 - 304*T1^15*T2^9 - 24*T1^16*T2^9 - 
      93*T1^2*T2^10 - 328*T1^3*T2^10 + 3121*T1^4*T2^10 - 5769*T1^5*T2^10 - 
      16449*T1^6*T2^10 + 72874*T1^7*T2^10 - 79669*T1^8*T2^10 - 
      4607*T1^9*T2^10 + 83995*T1^10*T2^10 - 70422*T1^11*T2^10 + 
      13813*T1^12*T2^10 + 6073*T1^13*T2^10 - 2995*T1^14*T2^10 + 
      328*T1^15*T2^10 + 93*T1^16*T2^10 + 134*T1^3*T2^11 - 392*T1^4*T2^11 - 
      1375*T1^5*T2^11 + 10177*T1^6*T2^11 - 18161*T1^7*T2^11 - 
      6982*T1^8*T2^11 + 58427*T1^9*T2^11 - 70422*T1^10*T2^11 + 
      29624*T1^11*T2^11 + 11081*T1^12*T2^11 - 11925*T1^13*T2^11 + 
      2483*T1^14*T2^11 + 248*T1^15*T2^11 - 201*T1^16*T2^11 - 85*T1^4*T2^12 + 
      680*T1^5*T2^12 - 1611*T1^6*T2^12 - 1197*T1^7*T2^12 + 14403*T1^8*T2^12 - 
      26747*T1^9*T2^12 + 13813*T1^10*T2^12 + 11081*T1^11*T2^12 - 
      20285*T1^12*T2^12 + 8183*T1^13*T2^12 + 353*T1^14*T2^12 - 
      968*T1^15*T2^12 + 255*T1^16*T2^12 - 248*T1^6*T2^13 + 1470*T1^7*T2^13 - 
      3791*T1^8*T2^13 + 2572*T1^9*T2^13 + 6073*T1^10*T2^13 - 
      11925*T1^11*T2^13 + 8183*T1^12*T2^13 + 205*T1^13*T2^13 - 
      2529*T1^14*T2^13 + 1112*T1^15*T2^13 - 201*T1^16*T2^13 + 31*T1^6*T2^14 - 
      120*T1^7*T2^14 + 31*T1^8*T2^14 + 1129*T1^9*T2^14 - 2995*T1^10*T2^14 + 
      2483*T1^11*T2^14 + 353*T1^12*T2^14 - 2529*T1^13*T2^14 + 
      1891*T1^14*T2^14 - 616*T1^15*T2^14 + 93*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 304*T1^9*T2^15 + 328*T1^10*T2^15 + 248*T1^11*T2^15 - 
      968*T1^12*T2^15 + 1112*T1^13*T2^15 - 616*T1^14*T2^15 + 
      176*T1^15*T2^15 - 24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 
      93*T1^10*T2^16 - 201*T1^11*T2^16 + 255*T1^12*T2^16 - 201*T1^13*T2^16 + 
      93*T1^14*T2^16 - 24*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 789] -> 
  {(2 - 7*T + 14*T^2 - 20*T^3 + 23*T^4 - 20*T^5 + 14*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-33 + 115*T1 - 230*T1^2 + 329*T1^3 - 379*T1^4 + 329*T1^5 - 
     230*T1^6 + 115*T1^7 - 33*T1^8 + 115*T2 - 314*T1*T2 + 499*T1^2*T2 - 
     541*T1^3*T2 + 454*T1^4*T2 - 148*T1^5*T2 - 65*T1^6*T2 + 205*T1^7*T2 - 
     188*T1^8*T2 + 87*T1^9*T2 - 230*T2^2 + 499*T1*T2^2 - 664*T1^2*T2^2 + 
     592*T1^3*T2^2 - 455*T1^4*T2^2 + 14*T1^5*T2^2 + 49*T1^6*T2^2 - 
     136*T1^7*T2^2 + 8*T1^8*T2^2 + 107*T1^9*T2^2 - 118*T1^10*T2^2 + 
     329*T2^3 - 541*T1*T2^3 + 592*T1^2*T2^3 - 412*T1^3*T2^3 + 340*T1^4*T2^3 + 
     169*T1^5*T2^3 + 35*T1^6*T2^3 + 72*T1^7*T2^3 + 170*T1^8*T2^3 - 
     206*T1^9*T2^3 + 103*T1^10*T2^3 + 89*T1^11*T2^3 - 379*T2^4 + 
     454*T1*T2^4 - 455*T1^2*T2^4 + 340*T1^3*T2^4 - 487*T1^4*T2^4 - 
     53*T1^5*T2^4 - 393*T1^6*T2^4 + 75*T1^7*T2^4 - 263*T1^8*T2^4 + 
     20*T1^9*T2^4 + 161*T1^10*T2^4 - 274*T1^11*T2^4 - 11*T1^12*T2^4 + 
     329*T2^5 - 148*T1*T2^5 + 14*T1^2*T2^5 + 169*T1^3*T2^5 - 53*T1^4*T2^5 + 
     703*T1^5*T2^5 + 68*T1^6*T2^5 + 250*T1^7*T2^5 + 133*T1^8*T2^5 + 
     93*T1^9*T2^5 - 73*T1^10*T2^5 + 35*T1^11*T2^5 + 286*T1^12*T2^5 - 
     71*T1^13*T2^5 - 230*T2^6 - 65*T1*T2^6 + 49*T1^2*T2^6 + 35*T1^3*T2^6 - 
     393*T1^4*T2^6 + 68*T1^5*T2^6 - 1166*T1^6*T2^6 + 574*T1^7*T2^6 - 
     634*T1^8*T2^6 + 96*T1^9*T2^6 - T1^10*T2^6 + 7*T1^11*T2^6 - 
     231*T1^12*T2^6 - 121*T1^13*T2^6 + 106*T1^14*T2^6 + 115*T2^7 + 
     205*T1*T2^7 - 136*T1^2*T2^7 + 72*T1^3*T2^7 + 75*T1^4*T2^7 + 
     250*T1^5*T2^7 + 574*T1^6*T2^7 + 340*T1^7*T2^7 - 288*T1^8*T2^7 + 
     422*T1^9*T2^7 - 240*T1^10*T2^7 + T1^11*T2^7 + 132*T1^12*T2^7 + 
     242*T1^13*T2^7 - 89*T1^14*T2^7 - 81*T1^15*T2^7 - 33*T2^8 - 188*T1*T2^8 + 
     8*T1^2*T2^8 + 170*T1^3*T2^8 - 263*T1^4*T2^8 + 133*T1^5*T2^8 - 
     634*T1^6*T2^8 - 288*T1^7*T2^8 + 168*T1^8*T2^8 + 24*T1^9*T2^8 - 
     2*T1^10*T2^8 + 175*T1^11*T2^8 - 31*T1^12*T2^8 - 242*T1^13*T2^8 - 
     34*T1^14*T2^8 + 176*T1^15*T2^8 + 31*T1^16*T2^8 + 87*T1*T2^9 + 
     107*T1^2*T2^9 - 206*T1^3*T2^9 + 20*T1^4*T2^9 + 93*T1^5*T2^9 + 
     96*T1^6*T2^9 + 422*T1^7*T2^9 + 24*T1^8*T2^9 - 604*T1^9*T2^9 + 
     270*T1^10*T2^9 - 394*T1^11*T2^9 + 19*T1^12*T2^9 + 80*T1^13*T2^9 + 
     172*T1^14*T2^9 - 187*T1^15*T2^9 - 109*T1^16*T2^9 - 118*T1^2*T2^10 + 
     103*T1^3*T2^10 + 161*T1^4*T2^10 - 73*T1^5*T2^10 - T1^6*T2^10 - 
     240*T1^7*T2^10 - 2*T1^8*T2^10 + 270*T1^9*T2^10 + 530*T1^10*T2^10 - 
     212*T1^11*T2^10 + 391*T1^12*T2^10 - 101*T1^13*T2^10 - 119*T1^14*T2^10 + 
     47*T1^15*T2^10 + 218*T1^16*T2^10 + 89*T1^3*T2^11 - 274*T1^4*T2^11 + 
     35*T1^5*T2^11 + 7*T1^6*T2^11 + T1^7*T2^11 + 175*T1^8*T2^11 - 
     394*T1^9*T2^11 - 212*T1^10*T2^11 - 395*T1^11*T2^11 + 147*T1^12*T2^11 - 
     235*T1^13*T2^11 + 56*T1^14*T2^11 + 160*T1^15*T2^11 - 311*T1^16*T2^11 - 
     11*T1^4*T2^12 + 286*T1^5*T2^12 - 231*T1^6*T2^12 + 132*T1^7*T2^12 - 
     31*T1^8*T2^12 + 19*T1^9*T2^12 + 391*T1^10*T2^12 + 147*T1^11*T2^12 + 
     193*T1^12*T2^12 - 188*T1^13*T2^12 + 385*T1^14*T2^12 - 442*T1^15*T2^12 + 
     357*T1^16*T2^12 - 71*T1^5*T2^13 - 121*T1^6*T2^13 + 242*T1^7*T2^13 - 
     242*T1^8*T2^13 + 80*T1^9*T2^13 - 101*T1^10*T2^13 - 235*T1^11*T2^13 - 
     188*T1^12*T2^13 + 340*T1^13*T2^13 - 556*T1^14*T2^13 + 523*T1^15*T2^13 - 
     311*T1^16*T2^13 + 106*T1^6*T2^14 - 89*T1^7*T2^14 - 34*T1^8*T2^14 + 
     172*T1^9*T2^14 - 119*T1^10*T2^14 + 56*T1^11*T2^14 + 385*T1^12*T2^14 - 
     556*T1^13*T2^14 + 638*T1^14*T2^14 - 481*T1^15*T2^14 + 218*T1^16*T2^14 - 
     81*T1^7*T2^15 + 176*T1^8*T2^15 - 187*T1^9*T2^15 + 47*T1^10*T2^15 + 
     160*T1^11*T2^15 - 442*T1^12*T2^15 + 523*T1^13*T2^15 - 481*T1^14*T2^15 + 
     302*T1^15*T2^15 - 109*T1^16*T2^15 + 31*T1^8*T2^16 - 109*T1^9*T2^16 + 
     218*T1^10*T2^16 - 311*T1^11*T2^16 + 357*T1^12*T2^16 - 311*T1^13*T2^16 + 
     218*T1^14*T2^16 - 109*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 790] -> 
  {(4 - 16*T + 32*T^2 - 39*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-256 + 1024*T1 - 2044*T1^2 + 2488*T1^3 - 2044*T1^4 + 1024*T1^5 - 
     256*T1^6 + 1024*T2 - 3328*T1*T2 + 5106*T1^2*T2 - 3826*T1^3*T2 + 
     718*T1^4*T2 + 2034*T1^5*T2 - 2048*T1^6*T2 + 768*T1^7*T2 - 2044*T2^2 + 
     5106*T1*T2^2 - 4992*T1^2*T2^2 - 805*T1^3*T2^2 + 5750*T1^4*T2^2 - 
     6693*T1^5*T2^2 + 2176*T1^6*T2^2 + 1010*T1^7*T2^2 - 1020*T1^8*T2^2 + 
     2488*T2^3 - 3826*T1*T2^3 - 805*T1^2*T2^3 + 9622*T1^3*T2^3 - 
     10024*T1^4*T2^3 + 3864*T1^5*T2^3 + 5170*T1^6*T2^3 - 5541*T1^7*T2^3 + 
     1614*T1^8*T2^3 + 616*T1^9*T2^3 - 2044*T2^4 + 718*T1*T2^4 + 
     5750*T1^2*T2^4 - 10024*T1^3*T2^4 + 524*T1^4*T2^4 + 9730*T1^5*T2^4 - 
     13844*T1^6*T2^4 + 4952*T1^7*T2^4 + 2166*T1^8*T2^4 - 2482*T1^9*T2^4 + 
     4*T1^10*T2^4 + 1024*T2^5 + 2034*T1*T2^5 - 6693*T1^2*T2^5 + 
     3864*T1^3*T2^5 + 9730*T1^4*T2^5 - 13952*T1^5*T2^5 + 7328*T1^6*T2^5 + 
     5634*T1^7*T2^5 - 7848*T1^8*T2^5 + 2651*T1^9*T2^5 + 1010*T1^10*T2^5 - 
     256*T1^11*T2^5 - 256*T2^6 - 2048*T1*T2^6 + 2176*T1^2*T2^6 + 
     5170*T1^3*T2^6 - 13844*T1^4*T2^6 + 7328*T1^5*T2^6 + 5400*T1^6*T2^6 - 
     12640*T1^7*T2^6 + 6636*T1^8*T2^6 + 1426*T1^9*T2^6 - 2944*T1^10*T2^6 + 
     512*T1^11*T2^6 + 128*T1^12*T2^6 + 768*T1*T2^7 + 1010*T1^2*T2^7 - 
     5541*T1^3*T2^7 + 4952*T1^4*T2^7 + 5634*T1^5*T2^7 - 12640*T1^6*T2^7 + 
     8640*T1^7*T2^7 + 1538*T1^8*T2^7 - 6760*T1^9*T2^7 + 3803*T1^10*T2^7 - 
     14*T1^11*T2^7 - 512*T1^12*T2^7 - 1020*T1^2*T2^8 + 1614*T1^3*T2^8 + 
     2166*T1^4*T2^8 - 7848*T1^5*T2^8 + 6636*T1^6*T2^8 + 1538*T1^7*T2^8 - 
     7732*T1^8*T2^8 + 7128*T1^9*T2^8 - 1418*T1^10*T2^8 - 1586*T1^11*T2^8 + 
     1028*T1^12*T2^8 + 616*T1^3*T2^9 - 2482*T1^4*T2^9 + 2651*T1^5*T2^9 + 
     1426*T1^6*T2^9 - 6760*T1^7*T2^9 + 7128*T1^8*T2^9 - 3026*T1^9*T2^9 - 
     2085*T1^10*T2^9 + 2958*T1^11*T2^9 - 1256*T1^12*T2^9 + 4*T1^4*T2^10 + 
     1010*T1^5*T2^10 - 2944*T1^6*T2^10 + 3803*T1^7*T2^10 - 1418*T1^8*T2^10 - 
     2085*T1^9*T2^10 + 4224*T1^10*T2^10 - 3086*T1^11*T2^10 + 
     1028*T1^12*T2^10 - 256*T1^5*T2^11 + 512*T1^6*T2^11 - 14*T1^7*T2^11 - 
     1586*T1^8*T2^11 + 2958*T1^9*T2^11 - 3086*T1^10*T2^11 + 
     1792*T1^11*T2^11 - 512*T1^12*T2^11 + 128*T1^6*T2^12 - 512*T1^7*T2^12 + 
     1028*T1^8*T2^12 - 1256*T1^9*T2^12 + 1028*T1^10*T2^12 - 512*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 791] -> 
  {(3 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-63 + 189*T1 - 275*T1^2 + 275*T1^3 - 275*T1^4 + 189*T1^5 - 63*T1^6 + 
     189*T2 - 459*T1*T2 + 501*T1^2*T2 - 351*T1^3*T2 + 351*T1^4*T2 - 
     93*T1^5*T2 - 135*T1^6*T2 + 108*T1^7*T2 - 275*T2^2 + 501*T1*T2^2 - 
     294*T1^2*T2^2 - 20*T1^3*T2^2 - 80*T1^4*T2^2 - 332*T1^5*T2^2 + 
     486*T1^6*T2^2 - 201*T1^7*T2^2 - 41*T1^8*T2^2 + 275*T2^3 - 351*T1*T2^3 - 
     20*T1^2*T2^3 + 274*T1^3*T2^3 + 16*T1^4*T2^3 + 484*T1^5*T2^3 - 
     428*T1^6*T2^3 - 137*T1^7*T2^3 + 351*T1^8*T2^3 - 76*T1^9*T2^3 - 
     275*T2^4 + 351*T1*T2^4 - 80*T1^2*T2^4 + 16*T1^3*T2^4 - 384*T1^4*T2^4 - 
     330*T1^5*T2^4 + 240*T1^6*T2^4 + 328*T1^7*T2^4 - 158*T1^8*T2^4 - 
     351*T1^9*T2^4 + 193*T1^10*T2^4 + 189*T2^5 - 93*T1*T2^5 - 332*T1^2*T2^5 + 
     484*T1^3*T2^5 - 330*T1^4*T2^5 + 1115*T1^5*T2^5 - 593*T1^6*T2^5 - 
     187*T1^7*T2^5 - 296*T1^8*T2^5 + 565*T1^9*T2^5 + 69*T1^10*T2^5 - 
     216*T1^11*T2^5 - 63*T2^6 - 135*T1*T2^6 + 486*T1^2*T2^6 - 428*T1^3*T2^6 + 
     240*T1^4*T2^6 - 593*T1^5*T2^6 - 312*T1^6*T2^6 + 809*T1^7*T2^6 + 
     110*T1^8*T2^6 + 40*T1^9*T2^6 - 714*T1^10*T2^6 + 351*T1^11*T2^6 + 
     99*T1^12*T2^6 + 108*T1*T2^7 - 201*T1^2*T2^7 - 137*T1^3*T2^7 + 
     328*T1^4*T2^7 - 187*T1^5*T2^7 + 809*T1^6*T2^7 - 899*T1^7*T2^7 - 
     44*T1^8*T2^7 - 452*T1^9*T2^7 + 760*T1^10*T2^7 - 39*T1^11*T2^7 - 
     297*T1^12*T2^7 - 41*T1^2*T2^8 + 351*T1^3*T2^8 - 158*T1^4*T2^8 - 
     296*T1^5*T2^8 + 110*T1^6*T2^8 - 44*T1^7*T2^8 + 734*T1^8*T2^8 + 
     16*T1^9*T2^8 - 236*T1^10*T2^8 - 351*T1^11*T2^8 + 427*T1^12*T2^8 - 
     76*T1^3*T2^9 - 351*T1^4*T2^9 + 565*T1^5*T2^9 + 40*T1^6*T2^9 - 
     452*T1^7*T2^9 + 16*T1^8*T2^9 - 662*T1^9*T2^9 + 448*T1^10*T2^9 + 
     351*T1^11*T2^9 - 427*T1^12*T2^9 + 193*T1^4*T2^10 + 69*T1^5*T2^10 - 
     714*T1^6*T2^10 + 760*T1^7*T2^10 - 236*T1^8*T2^10 + 448*T1^9*T2^10 + 
     66*T1^10*T2^10 - 633*T1^11*T2^10 + 427*T1^12*T2^10 - 216*T1^5*T2^11 + 
     351*T1^6*T2^11 - 39*T1^7*T2^11 - 351*T1^8*T2^11 + 351*T1^9*T2^11 - 
     633*T1^10*T2^11 + 675*T1^11*T2^11 - 297*T1^12*T2^11 + 99*T1^6*T2^12 - 
     297*T1^7*T2^12 + 427*T1^8*T2^12 - 427*T1^9*T2^12 + 427*T1^10*T2^12 - 
     297*T1^11*T2^12 + 99*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 792] -> {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   (-477 + 1683*T1 - 2495*T1^2 + 1683*T1^3 - 477*T1^4 + 1683*T2 - 
     5004*T1*T2 + 5506*T1^2*T2 - 1046*T1^3*T2 - 1602*T1^4*T2 + 927*T1^5*T2 - 
     2495*T2^2 + 5506*T1*T2^2 - 1687*T1^2*T2^2 - 7479*T1^3*T2^2 + 
     7613*T1^4*T2^2 - 2306*T1^5*T2^2 - 263*T1^6*T2^2 + 1683*T2^3 - 
     1046*T1*T2^3 - 7479*T1^2*T2^3 + 15539*T1^3*T2^3 - 8107*T1^4*T2^3 - 
     1620*T1^5*T2^3 + 2986*T1^6*T2^3 - 585*T1^7*T2^3 - 477*T2^4 - 
     1602*T1*T2^4 + 7613*T1^2*T2^4 - 8107*T1^3*T2^4 - 3696*T1^4*T2^4 + 
     10919*T1^5*T2^4 - 6445*T1^6*T2^4 + 666*T1^7*T2^4 + 387*T1^8*T2^4 + 
     927*T1*T2^5 - 2306*T1^2*T2^5 - 1620*T1^3*T2^5 + 10919*T1^4*T2^5 - 
     12727*T1^5*T2^5 + 4239*T1^6*T2^5 + 1726*T1^7*T2^5 - 1341*T1^8*T2^5 - 
     263*T1^2*T2^6 + 2986*T1^3*T2^6 - 6445*T1^4*T2^6 + 4239*T1^5*T2^6 + 
     2855*T1^6*T2^6 - 4826*T1^7*T2^6 + 1969*T1^8*T2^6 - 585*T1^3*T2^7 + 
     666*T1^4*T2^7 + 1726*T1^5*T2^7 - 4826*T1^6*T2^7 + 4068*T1^7*T2^7 - 
     1341*T1^8*T2^7 + 387*T1^4*T2^8 - 1341*T1^5*T2^8 + 1969*T1^6*T2^8 - 
     1341*T1^7*T2^8 + 387*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 793] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^4, 
   (-4 + 36*T1 - 128*T1^2 + 248*T1^3 - 308*T1^4 + 248*T1^5 - 128*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 909*T1^2*T2 - 1368*T1^3*T2 + 
     1098*T1^4*T2 - 153*T1^5*T2 - 522*T1^6*T2 + 540*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 128*T2^2 + 909*T1*T2^2 - 1967*T1^2*T2^2 + 702*T1^3*T2^2 + 
     3238*T1^4*T2^2 - 6905*T1^5*T2^2 + 6118*T1^6*T2^2 - 2690*T1^7*T2^2 + 
     17*T1^8*T2^2 + 333*T1^9*T2^2 - 64*T1^10*T2^2 + 248*T2^3 - 1368*T1*T2^3 + 
     702*T1^2*T2^3 + 7312*T1^3*T2^3 - 16850*T1^4*T2^3 + 17558*T1^5*T2^3 - 
     4990*T1^6*T2^3 - 5774*T1^7*T2^3 + 7222*T1^8*T2^3 - 2370*T1^9*T2^3 + 
     18*T1^10*T2^3 + 62*T1^11*T2^3 - 308*T2^4 + 1098*T1*T2^4 + 
     3238*T1^2*T2^4 - 16850*T1^3*T2^4 + 19521*T1^4*T2^4 + 248*T1^5*T2^4 - 
     30681*T1^6*T2^4 + 34144*T1^7*T2^4 - 16219*T1^8*T2^4 - 1350*T1^9*T2^4 + 
     3050*T1^10*T2^4 - 558*T1^11*T2^4 + 248*T2^5 - 153*T1*T2^5 - 
     6905*T1^2*T2^5 + 17558*T1^3*T2^5 + 248*T1^4*T2^5 - 40173*T1^5*T2^5 + 
     63525*T1^6*T2^5 - 29535*T1^7*T2^5 - 12941*T1^8*T2^5 + 26011*T1^9*T2^5 - 
     9910*T1^10*T2^5 - 98*T1^11*T2^5 + 558*T1^12*T2^5 - 62*T1^13*T2^5 - 
     128*T2^6 - 522*T1*T2^6 + 6118*T1^2*T2^6 - 4990*T1^3*T2^6 - 
     30681*T1^4*T2^6 + 63525*T1^5*T2^6 - 43551*T1^6*T2^6 - 31611*T1^7*T2^6 + 
     65865*T1^8*T2^6 - 39931*T1^9*T2^6 - 1513*T1^10*T2^6 + 10178*T1^11*T2^6 - 
     2898*T1^12*T2^6 - 18*T1^13*T2^6 + 64*T1^14*T2^6 + 36*T2^7 + 
     540*T1*T2^7 - 2690*T1^2*T2^7 - 5774*T1^3*T2^7 + 34144*T1^4*T2^7 - 
     29535*T1^5*T2^7 - 31611*T1^6*T2^7 + 94561*T1^7*T2^7 - 67947*T1^8*T2^7 - 
     6023*T1^9*T2^7 + 42733*T1^10*T2^7 - 24151*T1^11*T2^7 + 846*T1^12*T2^7 + 
     2302*T1^13*T2^7 - 333*T1^14*T2^7 - 27*T1^15*T2^7 - 4*T2^8 - 
     207*T1*T2^8 + 17*T1^2*T2^8 + 7222*T1^3*T2^8 - 16219*T1^4*T2^8 - 
     12941*T1^5*T2^8 + 65865*T1^6*T2^8 - 67947*T1^7*T2^8 - 9276*T1^8*T2^8 + 
     75919*T1^9*T2^8 - 60179*T1^10*T2^8 + 8361*T1^11*T2^8 + 
     16145*T1^12*T2^8 - 6898*T1^13*T2^8 - 5*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 333*T1^2*T2^9 - 2370*T1^3*T2^9 - 
     1350*T1^4*T2^9 + 26011*T1^5*T2^9 - 39931*T1^6*T2^9 - 6023*T1^7*T2^9 + 
     75919*T1^8*T2^9 - 86589*T1^9*T2^9 + 19565*T1^10*T2^9 + 
     32337*T1^11*T2^9 - 32284*T1^12*T2^9 + 5270*T1^13*T2^9 + 
     2622*T1^14*T2^9 - 540*T1^15*T2^9 - 36*T1^16*T2^9 - 64*T1^2*T2^10 + 
     18*T1^3*T2^10 + 3050*T1^4*T2^10 - 9910*T1^5*T2^10 - 1513*T1^6*T2^10 + 
     42733*T1^7*T2^10 - 60179*T1^8*T2^10 + 19565*T1^9*T2^10 + 
     49237*T1^10*T2^10 - 60723*T1^11*T2^10 + 27655*T1^12*T2^10 + 
     5258*T1^13*T2^10 - 5966*T1^14*T2^10 + 522*T1^15*T2^10 + 
     128*T1^16*T2^10 + 62*T1^3*T2^11 - 558*T1^4*T2^11 - 98*T1^5*T2^11 + 
     10178*T1^6*T2^11 - 24151*T1^7*T2^11 + 8361*T1^8*T2^11 + 
     32337*T1^9*T2^11 - 60723*T1^10*T2^11 + 35593*T1^11*T2^11 + 
     1612*T1^12*T2^11 - 17290*T1^13*T2^11 + 6709*T1^14*T2^11 + 
     153*T1^15*T2^11 - 248*T1^16*T2^11 + 558*T1^5*T2^12 - 2898*T1^6*T2^12 + 
     846*T1^7*T2^12 + 16145*T1^8*T2^12 - 32284*T1^9*T2^12 + 
     27655*T1^10*T2^12 + 1612*T1^11*T2^12 - 19595*T1^12*T2^12 + 
     16346*T1^13*T2^12 - 3086*T1^14*T2^12 - 1098*T1^15*T2^12 + 
     308*T1^16*T2^12 - 62*T1^5*T2^13 - 18*T1^6*T2^13 + 2302*T1^7*T2^13 - 
     6898*T1^8*T2^13 + 5270*T1^9*T2^13 + 5258*T1^10*T2^13 - 
     17290*T1^11*T2^13 + 16346*T1^12*T2^13 - 6988*T1^13*T2^13 - 
     770*T1^14*T2^13 + 1368*T1^15*T2^13 - 248*T1^16*T2^13 + 64*T1^6*T2^14 - 
     333*T1^7*T2^14 - 5*T1^8*T2^14 + 2622*T1^9*T2^14 - 5966*T1^10*T2^14 + 
     6709*T1^11*T2^14 - 3086*T1^12*T2^14 - 770*T1^13*T2^14 + 
     1979*T1^14*T2^14 - 909*T1^15*T2^14 + 128*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 540*T1^9*T2^15 + 522*T1^10*T2^15 + 153*T1^11*T2^15 - 
     1098*T1^12*T2^15 + 1368*T1^13*T2^15 - 909*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     128*T1^10*T2^16 - 248*T1^11*T2^16 + 308*T1^12*T2^16 - 248*T1^13*T2^16 + 
     128*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 794] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + T^6))/
     T^4), -((-57 + 199*T1 - 340*T1^2 + 453*T1^3 - 481*T1^4 + 453*T1^5 - 
      340*T1^6 + 199*T1^7 - 57*T1^8 + 199*T2 - 524*T1*T2 + 591*T1^2*T2 - 
      563*T1^3*T2 + 322*T1^4*T2 - 140*T1^5*T2 - 171*T1^6*T2 + 325*T1^7*T2 - 
      398*T1^8*T2 + 171*T1^9*T2 - 340*T2^2 + 591*T1*T2^2 - 177*T1^2*T2^2 - 
      52*T1^3*T2^2 + 487*T1^4*T2^2 - 477*T1^5*T2^2 + 727*T1^6*T2^2 - 
      484*T1^7*T2^2 + 303*T1^8*T2^2 + 255*T1^9*T2^2 - 244*T1^10*T2^2 + 
      453*T2^3 - 563*T1*T2^3 - 52*T1^2*T2^3 - 114*T1^3*T2^3 - 193*T1^4*T2^3 - 
      163*T1^5*T2^3 - 247*T1^6*T2^3 - 145*T1^7*T2^3 + 18*T1^8*T2^3 - 
      448*T1^9*T2^3 - 59*T1^10*T2^3 + 261*T1^11*T2^3 - 481*T2^4 + 
      322*T1*T2^4 + 487*T1^2*T2^4 - 193*T1^3*T2^4 + 932*T1^4*T2^4 - 
      664*T1^5*T2^4 + 1436*T1^6*T2^4 - 768*T1^7*T2^4 + 956*T1^8*T2^4 - 
      129*T1^9*T2^4 + 551*T1^10*T2^4 - 182*T1^11*T2^4 - 209*T1^12*T2^4 + 
      453*T2^5 - 140*T1*T2^5 - 477*T1^2*T2^5 - 163*T1^3*T2^5 - 
      664*T1^4*T2^5 + 73*T1^5*T2^5 - 798*T1^6*T2^5 - 178*T1^7*T2^5 - 
      239*T1^8*T2^5 - 606*T1^9*T2^5 - 159*T1^10*T2^5 - 282*T1^11*T2^5 + 
      266*T1^12*T2^5 + 133*T1^13*T2^5 - 340*T2^6 - 171*T1*T2^6 + 
      727*T1^2*T2^6 - 247*T1^3*T2^6 + 1436*T1^4*T2^6 - 798*T1^5*T2^6 + 
      1580*T1^6*T2^6 - 538*T1^7*T2^6 + 1028*T1^8*T2^6 - 54*T1^9*T2^6 + 
      796*T1^10*T2^6 - 31*T1^11*T2^6 + 135*T1^12*T2^6 - 283*T1^13*T2^6 - 
      52*T1^14*T2^6 + 199*T2^7 + 325*T1*T2^7 - 484*T1^2*T2^7 - 
      145*T1^3*T2^7 - 768*T1^4*T2^7 - 178*T1^5*T2^7 - 538*T1^6*T2^7 - 
      346*T1^7*T2^7 - 292*T1^8*T2^7 - 362*T1^9*T2^7 - 550*T1^10*T2^7 - 
      178*T1^11*T2^7 - 129*T1^12*T2^7 + 128*T1^13*T2^7 + 171*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 398*T1*T2^8 + 303*T1^2*T2^8 + 18*T1^3*T2^8 + 
      956*T1^4*T2^8 - 239*T1^5*T2^8 + 1028*T1^6*T2^8 - 292*T1^7*T2^8 + 
      780*T1^8*T2^8 - 200*T1^9*T2^8 + 740*T1^10*T2^8 + 151*T1^11*T2^8 + 
      124*T1^12*T2^8 + 26*T1^13*T2^8 - 219*T1^14*T2^8 - 34*T1^15*T2^8 + 
      7*T1^16*T2^8 + 171*T1*T2^9 + 255*T1^2*T2^9 - 448*T1^3*T2^9 - 
      129*T1^4*T2^9 - 606*T1^5*T2^9 - 54*T1^6*T2^9 - 362*T1^7*T2^9 - 
      200*T1^8*T2^9 - 146*T1^9*T2^9 - 186*T1^10*T2^9 - 426*T1^11*T2^9 - 
      16*T1^12*T2^9 - 113*T1^13*T2^9 + 164*T1^14*T2^9 + 101*T1^15*T2^9 - 
      25*T1^16*T2^9 - 244*T1^2*T2^10 - 59*T1^3*T2^10 + 551*T1^4*T2^10 - 
      159*T1^5*T2^10 + 796*T1^6*T2^10 - 550*T1^7*T2^10 + 740*T1^8*T2^10 - 
      186*T1^9*T2^10 + 188*T1^10*T2^10 + 194*T1^11*T2^10 + 156*T1^12*T2^10 + 
      57*T1^13*T2^10 - 41*T1^14*T2^10 - 171*T1^15*T2^10 + 44*T1^16*T2^10 + 
      261*T1^3*T2^11 - 182*T1^4*T2^11 - 282*T1^5*T2^11 - 31*T1^6*T2^11 - 
      178*T1^7*T2^11 + 151*T1^8*T2^11 - 426*T1^9*T2^11 + 194*T1^10*T2^11 - 
      161*T1^11*T2^11 - 120*T1^12*T2^11 - 27*T1^13*T2^11 - 87*T1^14*T2^11 + 
      224*T1^15*T2^11 - 59*T1^16*T2^11 - 209*T1^4*T2^12 + 266*T1^5*T2^12 + 
      135*T1^6*T2^12 - 129*T1^7*T2^12 + 124*T1^8*T2^12 - 16*T1^9*T2^12 + 
      156*T1^10*T2^12 - 120*T1^11*T2^12 + 148*T1^12*T2^12 - 65*T1^13*T2^12 + 
      199*T1^14*T2^12 - 238*T1^15*T2^12 + 63*T1^16*T2^12 + 133*T1^5*T2^13 - 
      283*T1^6*T2^13 + 128*T1^7*T2^13 + 26*T1^8*T2^13 - 113*T1^9*T2^13 + 
      57*T1^10*T2^13 - 27*T1^11*T2^13 - 65*T1^12*T2^13 + 158*T1^13*T2^13 - 
      268*T1^14*T2^13 + 221*T1^15*T2^13 - 59*T1^16*T2^13 - 52*T1^6*T2^14 + 
      171*T1^7*T2^14 - 219*T1^8*T2^14 + 164*T1^9*T2^14 - 41*T1^10*T2^14 - 
      87*T1^11*T2^14 + 199*T1^12*T2^14 - 268*T1^13*T2^14 + 261*T1^14*T2^14 - 
      165*T1^15*T2^14 + 44*T1^16*T2^14 + 3*T1^7*T2^15 - 34*T1^8*T2^15 + 
      101*T1^9*T2^15 - 171*T1^10*T2^15 + 224*T1^11*T2^15 - 238*T1^12*T2^15 + 
      221*T1^13*T2^15 - 165*T1^14*T2^15 + 92*T1^15*T2^15 - 25*T1^16*T2^15 + 
      7*T1^8*T2^16 - 25*T1^9*T2^16 + 44*T1^10*T2^16 - 59*T1^11*T2^16 + 
      63*T1^12*T2^16 - 59*T1^13*T2^16 + 44*T1^14*T2^16 - 25*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 795] -> 
  {-((4 - 16*T + 30*T^2 - 37*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((-336 + 1336*T1 - 2492*T1^2 + 3072*T1^3 - 2492*T1^4 + 1336*T1^5 - 
      336*T1^6 + 1336*T2 - 4236*T1*T2 + 5630*T1^2*T2 - 4230*T1^3*T2 + 
      58*T1^4*T2 + 2686*T1^5*T2 - 2956*T1^6*T2 + 1080*T1^7*T2 - 2492*T2^2 + 
      5630*T1*T2^2 - 2910*T1^2*T2^2 - 3205*T1^3*T2^2 + 9772*T1^4*T2^2 - 
      8245*T1^5*T2^2 + 3330*T1^6*T2^2 + 1790*T1^7*T2^2 - 1532*T1^8*T2^2 + 
      3072*T2^3 - 4230*T1*T2^3 - 3205*T1^2*T2^3 + 9120*T1^3*T2^3 - 
      10838*T1^4*T2^3 + 898*T1^5*T2^3 + 5244*T1^6*T2^3 - 6925*T1^7*T2^3 + 
      954*T1^8*T2^3 + 1296*T1^9*T2^3 - 2492*T2^4 + 58*T1*T2^4 + 
      9772*T1^2*T2^4 - 10838*T1^3*T2^4 + 6213*T1^4*T2^4 + 6607*T1^5*T2^4 - 
      6171*T1^6*T2^4 + 2186*T1^7*T2^4 + 5228*T1^8*T2^4 - 2886*T1^9*T2^4 - 
      572*T1^10*T2^4 + 1336*T2^5 + 2686*T1*T2^5 - 8245*T1^2*T2^5 + 
      898*T1^3*T2^5 + 6607*T1^4*T2^5 - 12798*T1^5*T2^5 + 1732*T1^6*T2^5 + 
      4987*T1^7*T2^5 - 8262*T1^8*T2^5 + 755*T1^9*T2^5 + 2046*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2956*T1*T2^6 + 3330*T1^2*T2^6 + 
      5244*T1^3*T2^6 - 6171*T1^4*T2^6 + 1732*T1^5*T2^6 + 11472*T1^6*T2^6 - 
      10980*T1^7*T2^6 + 5621*T1^8*T2^6 + 3612*T1^9*T2^6 - 2974*T1^10*T2^6 - 
      396*T1^11*T2^6 + 48*T1^12*T2^6 + 1080*T1*T2^7 + 1790*T1^2*T2^7 - 
      6925*T1^3*T2^7 + 2186*T1^4*T2^7 + 4987*T1^5*T2^7 - 10980*T1^6*T2^7 + 
      3550*T1^7*T2^7 + 3367*T1^8*T2^7 - 6974*T1^9*T2^7 + 2075*T1^10*T2^7 + 
      1150*T1^11*T2^7 - 200*T1^12*T2^7 - 1532*T1^2*T2^8 + 954*T1^3*T2^8 + 
      5228*T1^4*T2^8 - 8262*T1^5*T2^8 + 5621*T1^6*T2^8 + 3367*T1^7*T2^8 - 
      6763*T1^8*T2^8 + 4762*T1^9*T2^8 + 684*T1^10*T2^8 - 1990*T1^11*T2^8 + 
      388*T1^12*T2^8 + 1296*T1^3*T2^9 - 2886*T1^4*T2^9 + 755*T1^5*T2^9 + 
      3612*T1^6*T2^9 - 6974*T1^7*T2^9 + 4762*T1^8*T2^9 - 264*T1^9*T2^9 - 
      2965*T1^10*T2^9 + 2298*T1^11*T2^9 - 480*T1^12*T2^9 - 572*T1^4*T2^10 + 
      2046*T1^5*T2^10 - 2974*T1^6*T2^10 + 2075*T1^7*T2^10 + 684*T1^8*T2^10 - 
      2965*T1^9*T2^10 + 3266*T1^10*T2^10 - 1794*T1^11*T2^10 + 
      388*T1^12*T2^10 + 56*T1^5*T2^11 - 396*T1^6*T2^11 + 1150*T1^7*T2^11 - 
      1990*T1^8*T2^11 + 2298*T1^9*T2^11 - 1794*T1^10*T2^11 + 
      884*T1^11*T2^11 - 200*T1^12*T2^11 + 48*T1^6*T2^12 - 200*T1^7*T2^12 + 
      388*T1^8*T2^12 - 480*T1^9*T2^12 + 388*T1^10*T2^12 - 200*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 796] -> 
  {-((3 - 9*T + 11*T^2 - 11*T^3 + 11*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((-144 + 432*T1 - 526*T1^2 + 526*T1^3 - 526*T1^4 + 432*T1^5 - 144*T1^6 + 
      432*T2 - 945*T1*T2 + 525*T1^2*T2 - 297*T1^3*T2 + 297*T1^4*T2 - 
      15*T1^5*T2 - 621*T1^6*T2 + 351*T1^7*T2 - 526*T2^2 + 525*T1*T2^2 + 
      933*T1^2*T2^2 - 1015*T1^3*T2^2 + 821*T1^4*T2^2 - 1147*T1^5*T2^2 + 
      1461*T1^6*T2^2 - 69*T1^7*T2^2 - 328*T1^8*T2^2 + 526*T2^3 - 
      297*T1*T2^3 - 1015*T1^2*T2^3 + 194*T1^3*T2^3 + 92*T1^4*T2^3 + 
      290*T1^5*T2^3 - 400*T1^6*T2^3 - 916*T1^7*T2^3 + 297*T1^8*T2^3 + 
      229*T1^9*T2^3 - 526*T2^4 + 297*T1*T2^4 + 821*T1^2*T2^4 + 92*T1^3*T2^4 + 
      80*T1^4*T2^4 - 608*T1^5*T2^4 + 740*T1^6*T2^4 + 224*T1^7*T2^4 + 
      491*T1^8*T2^4 - 297*T1^9*T2^4 - 130*T1^10*T2^4 + 432*T2^5 - 
      15*T1*T2^5 - 1147*T1^2*T2^5 + 290*T1^3*T2^5 - 608*T1^4*T2^5 + 
      955*T1^5*T2^5 - 703*T1^6*T2^5 - 355*T1^7*T2^5 - 40*T1^8*T2^5 - 
      322*T1^9*T2^5 + 309*T1^10*T2^5 + 27*T1^11*T2^5 - 144*T2^6 - 
      621*T1*T2^6 + 1461*T1^2*T2^6 - 400*T1^3*T2^6 + 740*T1^4*T2^6 - 
      703*T1^5*T2^6 - 120*T1^6*T2^6 + 919*T1^7*T2^6 - 294*T1^8*T2^6 + 
      392*T1^9*T2^6 - 135*T1^10*T2^6 - 135*T1^11*T2^6 + 18*T1^12*T2^6 + 
      351*T1*T2^7 - 69*T1^2*T2^7 - 916*T1^3*T2^7 + 224*T1^4*T2^7 - 
      355*T1^5*T2^7 + 919*T1^6*T2^7 - 739*T1^7*T2^7 - 102*T1^8*T2^7 - 
      106*T1^9*T2^7 - 91*T1^10*T2^7 + 255*T1^11*T2^7 - 54*T1^12*T2^7 - 
      328*T1^2*T2^8 + 297*T1^3*T2^8 + 491*T1^4*T2^8 - 40*T1^5*T2^8 - 
      294*T1^6*T2^8 - 102*T1^7*T2^8 + 366*T1^8*T2^8 + 92*T1^9*T2^8 + 
      161*T1^10*T2^8 - 297*T1^11*T2^8 + 68*T1^12*T2^8 + 229*T1^3*T2^9 - 
      297*T1^4*T2^9 - 322*T1^5*T2^9 + 392*T1^6*T2^9 - 106*T1^7*T2^9 + 
      92*T1^8*T2^9 - 202*T1^9*T2^9 - 223*T1^10*T2^9 + 297*T1^11*T2^9 - 
      68*T1^12*T2^9 - 130*T1^4*T2^10 + 309*T1^5*T2^10 - 135*T1^6*T2^10 - 
      91*T1^7*T2^10 + 161*T1^8*T2^10 - 223*T1^9*T2^10 + 393*T1^10*T2^10 - 
      285*T1^11*T2^10 + 68*T1^12*T2^10 + 27*T1^5*T2^11 - 135*T1^6*T2^11 + 
      255*T1^7*T2^11 - 297*T1^8*T2^11 + 297*T1^9*T2^11 - 285*T1^10*T2^11 + 
      189*T1^11*T2^11 - 54*T1^12*T2^11 + 18*T1^6*T2^12 - 54*T1^7*T2^12 + 
      68*T1^8*T2^12 - 68*T1^9*T2^12 + 68*T1^10*T2^12 - 54*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 797] -> {-((6 - 21*T + 29*T^2 - 21*T^3 + 6*T^4)/T^2), 
   -((-747 + 2601*T1 - 3571*T1^2 + 2601*T1^3 - 747*T1^4 + 2601*T2 - 
      7218*T1*T2 + 6032*T1^2*T2 - 268*T1^3*T2 - 3816*T1^4*T2 + 1845*T1^5*T2 - 
      3571*T2^2 + 6032*T1*T2^2 + 3814*T1^2*T2^2 - 13212*T1^3*T2^2 + 
      11818*T1^4*T2^2 - 1276*T1^5*T2^2 - 1483*T1^6*T2^2 + 2601*T2^3 - 
      268*T1*T2^3 - 13212*T1^2*T2^3 + 15697*T1^3*T2^3 - 4547*T1^4*T2^3 - 
      7731*T1^5*T2^3 + 4016*T1^6*T2^3 + 333*T1^7*T2^3 - 747*T2^4 - 
      3816*T1*T2^4 + 11818*T1^2*T2^4 - 4547*T1^3*T2^4 - 8616*T1^4*T2^4 + 
      12715*T1^5*T2^4 - 2528*T1^6*T2^4 - 1548*T1^7*T2^4 + 117*T1^8*T2^4 + 
      1845*T1*T2^5 - 1276*T1^2*T2^5 - 7731*T1^3*T2^5 + 12715*T1^4*T2^5 - 
      7529*T1^5*T2^5 - 2250*T1^6*T2^5 + 3008*T1^7*T2^5 - 423*T1^8*T2^5 - 
      1483*T1^2*T2^6 + 4016*T1^3*T2^6 - 2528*T1^4*T2^6 - 2250*T1^5*T2^6 + 
      5476*T1^6*T2^6 - 3292*T1^7*T2^6 + 605*T1^8*T2^6 + 333*T1^3*T2^7 - 
      1548*T1^4*T2^7 + 3008*T1^5*T2^7 - 3292*T1^6*T2^7 + 1854*T1^7*T2^7 - 
      423*T1^8*T2^7 + 117*T1^4*T2^8 - 423*T1^5*T2^8 + 605*T1^6*T2^8 - 
      423*T1^7*T2^8 + 117*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 798] -> 
  {-(((1 - T + T^2)*(5 - 18*T + 25*T^2 - 18*T^3 + 5*T^4))/T^3), 
   -((-645 + 2945*T1 - 6114*T1^2 + 7765*T1^3 - 6114*T1^4 + 2945*T1^5 - 
      645*T1^6 + 2945*T2 - 11089*T1*T2 + 17148*T1^2*T2 - 13075*T1^3*T2 - 
      540*T1^4*T2 + 8983*T1^5*T2 - 7869*T1^6*T2 + 2370*T1^7*T2 - 6114*T2^2 + 
      17148*T1*T2^2 - 12313*T1^2*T2^2 - 12326*T1^3*T2^2 + 37765*T1^4*T2^2 - 
      30566*T1^5*T2^2 + 8327*T1^6*T2^2 + 6108*T1^7*T2^2 - 3714*T1^8*T2^2 + 
      7765*T2^3 - 13075*T1*T2^3 - 12326*T1^2*T2^3 + 46721*T1^3*T2^3 - 
      51893*T1^4*T2^3 + 3478*T1^5*T2^3 + 28727*T1^6*T2^3 - 25334*T1^7*T2^3 + 
      2450*T1^8*T2^3 + 3190*T1^9*T2^3 - 6114*T2^4 - 540*T1*T2^4 + 
      37765*T1^2*T2^4 - 51893*T1^3*T2^4 + 15055*T1^4*T2^4 + 53491*T1^5*T2^4 - 
      50293*T1^6*T2^4 + 10205*T1^7*T2^4 + 19307*T1^8*T2^4 - 8590*T1^9*T2^4 - 
      1314*T1^10*T2^4 + 2945*T2^5 + 8983*T1*T2^5 - 30566*T1^2*T2^5 + 
      3478*T1^3*T2^5 + 53491*T1^4*T2^5 - 83173*T1^5*T2^5 + 16927*T1^6*T2^5 + 
      36595*T1^7*T2^5 - 38439*T1^8*T2^5 + 3370*T1^9*T2^5 + 5648*T1^10*T2^5 + 
      70*T1^11*T2^5 - 645*T2^6 - 7869*T1*T2^6 + 8327*T1^2*T2^6 + 
      28727*T1^3*T2^6 - 50293*T1^4*T2^6 + 16927*T1^5*T2^6 + 63660*T1^6*T2^6 - 
      70639*T1^7*T2^6 + 25975*T1^8*T2^6 + 15161*T1^9*T2^6 - 
      10101*T1^10*T2^6 - 739*T1^11*T2^6 + 105*T1^12*T2^6 + 2370*T1*T2^7 + 
      6108*T1^2*T2^7 - 25334*T1^3*T2^7 + 10205*T1^4*T2^7 + 36595*T1^5*T2^7 - 
      70639*T1^6*T2^7 + 29461*T1^7*T2^7 + 19699*T1^8*T2^7 - 31712*T1^9*T2^7 + 
      8602*T1^10*T2^7 + 2773*T1^11*T2^7 - 505*T1^12*T2^7 - 3714*T1^2*T2^8 + 
      2450*T1^3*T2^8 + 19307*T1^4*T2^8 - 38439*T1^5*T2^8 + 25975*T1^6*T2^8 + 
      19699*T1^7*T2^8 - 39373*T1^8*T2^8 + 23659*T1^9*T2^8 + 849*T1^10*T2^8 - 
      5600*T1^11*T2^8 + 1086*T1^12*T2^8 + 3190*T1^3*T2^9 - 8590*T1^4*T2^9 + 
      3370*T1^5*T2^9 + 15161*T1^6*T2^9 - 31712*T1^7*T2^9 + 23659*T1^8*T2^9 - 
      2833*T1^9*T2^9 - 9638*T1^10*T2^9 + 6935*T1^11*T2^9 - 1385*T1^12*T2^9 - 
      1314*T1^4*T2^10 + 5648*T1^5*T2^10 - 10101*T1^6*T2^10 + 
      8602*T1^7*T2^10 + 849*T1^8*T2^10 - 9638*T1^9*T2^10 + 
      10539*T1^10*T2^10 - 5392*T1^11*T2^10 + 1086*T1^12*T2^10 + 
      70*T1^5*T2^11 - 739*T1^6*T2^11 + 2773*T1^7*T2^11 - 5600*T1^8*T2^11 + 
      6935*T1^9*T2^11 - 5392*T1^10*T2^11 + 2481*T1^11*T2^11 - 
      505*T1^12*T2^11 + 105*T1^6*T2^12 - 505*T1^7*T2^12 + 1086*T1^8*T2^12 - 
      1385*T1^9*T2^12 + 1086*T1^10*T2^12 - 505*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 799] -> 
  {((1 - 3*T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-33 + 248*T1 - 694*T1^2 + 941*T1^3 - 694*T1^4 + 248*T1^5 - 33*T1^6 + 
     248*T2 - 1676*T1*T2 + 3799*T1^2*T2 - 3113*T1^3*T2 - 143*T1^4*T2 + 
     2089*T1^5*T2 - 1166*T1^6*T2 + 188*T1^7*T2 - 694*T2^2 + 3799*T1*T2^2 - 
     4344*T1^2*T2^2 - 7072*T1^3*T2^2 + 17878*T1^4*T2^2 - 14128*T1^5*T2^2 + 
     2376*T1^6*T2^2 + 1279*T1^7*T2^2 - 358*T1^8*T2^2 + 941*T2^3 - 
     3113*T1*T2^3 - 7072*T1^2*T2^3 + 35602*T1^3*T2^3 - 37729*T1^4*T2^3 + 
     5147*T1^5*T2^3 + 19870*T1^6*T2^3 - 10726*T1^7*T2^3 + 757*T1^8*T2^3 + 
     257*T1^9*T2^3 - 694*T2^4 - 143*T1*T2^4 + 17878*T1^2*T2^4 - 
     37729*T1^3*T2^4 - 3956*T1^4*T2^4 + 63348*T1^5*T2^4 - 62336*T1^6*T2^4 + 
     11519*T1^7*T2^4 + 6340*T1^8*T2^4 - 1763*T1^9*T2^4 - 22*T1^10*T2^4 + 
     248*T2^5 + 2089*T1*T2^5 - 14128*T1^2*T2^5 + 5147*T1^3*T2^5 + 
     63348*T1^4*T2^5 - 94980*T1^5*T2^5 + 36846*T1^6*T2^5 + 32100*T1^7*T2^5 - 
     24985*T1^8*T2^5 + 3134*T1^9*T2^5 + 559*T1^10*T2^5 - 52*T1^11*T2^5 - 
     33*T2^6 - 1166*T1*T2^6 + 2376*T1^2*T2^6 + 19870*T1^3*T2^6 - 
     62336*T1^4*T2^6 + 36846*T1^5*T2^6 + 43728*T1^6*T2^6 - 75690*T1^7*T2^6 + 
     28492*T1^8*T2^6 + 3382*T1^9*T2^6 - 3060*T1^10*T2^6 + 274*T1^11*T2^6 + 
     15*T1^12*T2^6 + 188*T1*T2^7 + 1279*T1^2*T2^7 - 10726*T1^3*T2^7 + 
     11519*T1^4*T2^7 + 32100*T1^5*T2^7 - 75690*T1^6*T2^7 + 56136*T1^7*T2^7 + 
     852*T1^8*T2^7 - 18613*T1^9*T2^7 + 6536*T1^10*T2^7 - 251*T1^11*T2^7 - 
     112*T1^12*T2^7 - 358*T1^2*T2^8 + 757*T1^3*T2^8 + 6340*T1^4*T2^8 - 
     24985*T1^5*T2^8 + 28492*T1^6*T2^8 + 852*T1^7*T2^8 - 29888*T1^8*T2^8 + 
     24263*T1^9*T2^8 - 5198*T1^10*T2^8 - 863*T1^11*T2^8 + 314*T1^12*T2^8 + 
     257*T1^3*T2^9 - 1763*T1^4*T2^9 + 3134*T1^5*T2^9 + 3382*T1^6*T2^9 - 
     18613*T1^7*T2^9 + 24263*T1^8*T2^9 - 12350*T1^9*T2^9 - 520*T1^10*T2^9 + 
     2107*T1^11*T2^9 - 427*T1^12*T2^9 - 22*T1^4*T2^10 + 559*T1^5*T2^10 - 
     3060*T1^6*T2^10 + 6536*T1^7*T2^10 - 5198*T1^8*T2^10 - 520*T1^9*T2^10 + 
     3660*T1^10*T2^10 - 1961*T1^11*T2^10 + 314*T1^12*T2^10 - 52*T1^5*T2^11 + 
     274*T1^6*T2^11 - 251*T1^7*T2^11 - 863*T1^8*T2^11 + 2107*T1^9*T2^11 - 
     1961*T1^10*T2^11 + 784*T1^11*T2^11 - 112*T1^12*T2^11 + 15*T1^6*T2^12 - 
     112*T1^7*T2^12 + 314*T1^8*T2^12 - 427*T1^9*T2^12 + 314*T1^10*T2^12 - 
     112*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 800] -> 
  {-(((1 - T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3), 
   -((-144 + 526*T1 - 952*T1^2 + 1190*T1^3 - 952*T1^4 + 526*T1^5 - 144*T1^6 + 
      526*T2 - 1495*T1*T2 + 1921*T1^2*T2 - 1530*T1^3*T2 - 45*T1^4*T2 + 
      898*T1^5*T2 - 1033*T1^6*T2 + 427*T1^7*T2 - 952*T2^2 + 1921*T1*T2^2 - 
      1151*T1^2*T2^2 - 420*T1^3*T2^2 + 2861*T1^4*T2^2 - 2100*T1^5*T2^2 + 
      889*T1^6*T2^2 + 601*T1^7*T2^2 - 592*T1^8*T2^2 + 1190*T2^3 - 
      1530*T1*T2^3 - 420*T1^2*T2^3 + 1755*T1^3*T2^3 - 3162*T1^4*T2^3 - 
      237*T1^5*T2^3 + 1235*T1^6*T2^3 - 1840*T1^7*T2^3 + 285*T1^8*T2^3 + 
      515*T1^9*T2^3 - 952*T2^4 - 45*T1*T2^4 + 2861*T1^2*T2^4 - 
      3162*T1^3*T2^4 + 3111*T1^4*T2^4 + 1513*T1^5*T2^4 - 509*T1^6*T2^4 + 
      188*T1^7*T2^4 + 1611*T1^8*T2^4 - 1035*T1^9*T2^4 - 232*T1^10*T2^4 + 
      526*T2^5 + 898*T1*T2^5 - 2100*T1^2*T2^5 - 237*T1^3*T2^5 + 
      1513*T1^4*T2^5 - 4403*T1^5*T2^5 - 53*T1^6*T2^5 + 1193*T1^7*T2^5 - 
      2312*T1^8*T2^5 + 360*T1^9*T2^5 + 733*T1^10*T2^5 + 31*T1^11*T2^5 - 
      144*T2^6 - 1033*T1*T2^6 + 889*T1^2*T2^6 + 1235*T1^3*T2^6 - 
      509*T1^4*T2^6 - 53*T1^5*T2^6 + 4932*T1^6*T2^6 - 3619*T1^7*T2^6 + 
      2071*T1^8*T2^6 + 765*T1^9*T2^6 - 955*T1^10*T2^6 - 175*T1^11*T2^6 + 
      18*T1^12*T2^6 + 427*T1*T2^7 + 601*T1^2*T2^7 - 1840*T1^3*T2^7 + 
      188*T1^4*T2^7 + 1193*T1^5*T2^7 - 3619*T1^6*T2^7 + 731*T1^7*T2^7 + 
      873*T1^8*T2^7 - 1887*T1^9*T2^7 + 620*T1^10*T2^7 + 436*T1^11*T2^7 - 
      68*T1^12*T2^7 - 592*T1^2*T2^8 + 285*T1^3*T2^8 + 1611*T1^4*T2^8 - 
      2312*T1^5*T2^8 + 2071*T1^6*T2^8 + 873*T1^7*T2^8 - 1549*T1^8*T2^8 + 
      1038*T1^9*T2^8 + 361*T1^10*T2^8 - 705*T1^11*T2^8 + 128*T1^12*T2^8 + 
      515*T1^3*T2^9 - 1035*T1^4*T2^9 + 360*T1^5*T2^9 + 765*T1^6*T2^9 - 
      1887*T1^7*T2^9 + 1038*T1^8*T2^9 + 245*T1^9*T2^9 - 1060*T1^10*T2^9 + 
      780*T1^11*T2^9 - 160*T1^12*T2^9 - 232*T1^4*T2^10 + 733*T1^5*T2^10 - 
      955*T1^6*T2^10 + 620*T1^7*T2^10 + 361*T1^8*T2^10 - 1060*T1^9*T2^10 + 
      1085*T1^10*T2^10 - 587*T1^11*T2^10 + 128*T1^12*T2^10 + 31*T1^5*T2^11 - 
      175*T1^6*T2^11 + 436*T1^7*T2^11 - 705*T1^8*T2^11 + 780*T1^9*T2^11 - 
      587*T1^10*T2^11 + 287*T1^11*T2^11 - 68*T1^12*T2^11 + 18*T1^6*T2^12 - 
      68*T1^7*T2^12 + 128*T1^8*T2^12 - 160*T1^9*T2^12 + 128*T1^10*T2^12 - 
      68*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 801] -> 
  {-(((1 - T + T^2)^2*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-57 + 170*T1 - 253*T1^2 + 309*T1^3 - 253*T1^4 + 170*T1^5 - 57*T1^6 + 
       170*T2 - 370*T1*T2 + 346*T1^2*T2 - 312*T1^3*T2 + 8*T1^4*T2 + 
       106*T1^5*T2 - 242*T1^6*T2 + 138*T1^7*T2 - 253*T2^2 + 346*T1*T2^2 - 
       31*T1^2*T2^2 - 61*T1^3*T2^2 + 499*T1^4*T2^2 - 321*T1^5*T2^2 + 
       333*T1^6*T2^2 + 34*T1^7*T2^2 - 149*T1^8*T2^2 + 309*T2^3 - 
       312*T1*T2^3 - 61*T1^2*T2^3 - 56*T1^3*T2^3 - 381*T1^4*T2^3 - 
       21*T1^5*T2^3 - 172*T1^6*T2^3 - 181*T1^7*T2^3 + 48*T1^8*T2^3 + 
       133*T1^9*T2^3 - 253*T2^4 + 8*T1*T2^4 + 499*T1^2*T2^4 - 381*T1^3*T2^4 + 
       949*T1^4*T2^4 - 449*T1^5*T2^4 + 713*T1^6*T2^4 - 161*T1^7*T2^4 + 
       271*T1^8*T2^4 - 192*T1^9*T2^4 - 69*T1^10*T2^4 + 170*T2^5 + 
       106*T1*T2^5 - 321*T1^2*T2^5 - 21*T1^3*T2^5 - 449*T1^4*T2^5 - 
       72*T1^5*T2^5 - 292*T1^6*T2^5 - 167*T1^7*T2^5 - 97*T1^8*T2^5 - 
       37*T1^9*T2^5 + 178*T1^10*T2^5 + 10*T1^11*T2^5 - 57*T2^6 - 
       242*T1*T2^6 + 333*T1^2*T2^6 - 172*T1^3*T2^6 + 713*T1^4*T2^6 - 
       292*T1^5*T2^6 + 540*T1^6*T2^6 - 40*T1^7*T2^6 + 149*T1^8*T2^6 + 
       124*T1^9*T2^6 - 171*T1^10*T2^6 - 50*T1^11*T2^6 + 7*T1^12*T2^6 + 
       138*T1*T2^7 + 34*T1^2*T2^7 - 181*T1^3*T2^7 - 161*T1^4*T2^7 - 
       167*T1^5*T2^7 - 40*T1^6*T2^7 - 260*T1^7*T2^7 + 115*T1^8*T2^7 - 
       237*T1^9*T2^7 + 103*T1^10*T2^7 + 106*T1^11*T2^7 - 22*T1^12*T2^7 - 
       149*T1^2*T2^8 + 48*T1^3*T2^8 + 271*T1^4*T2^8 - 97*T1^5*T2^8 + 
       149*T1^6*T2^8 + 115*T1^7*T2^8 - 87*T1^8*T2^8 + 123*T1^9*T2^8 + 
       43*T1^10*T2^8 - 152*T1^11*T2^8 + 35*T1^12*T2^8 + 133*T1^3*T2^9 - 
       192*T1^4*T2^9 - 37*T1^5*T2^9 + 124*T1^6*T2^9 - 237*T1^7*T2^9 + 
       123*T1^8*T2^9 + 8*T1^9*T2^9 - 157*T1^10*T2^9 + 168*T1^11*T2^9 - 
       43*T1^12*T2^9 - 69*T1^4*T2^10 + 178*T1^5*T2^10 - 171*T1^6*T2^10 + 
       103*T1^7*T2^10 + 43*T1^8*T2^10 - 157*T1^9*T2^10 + 193*T1^10*T2^10 - 
       134*T1^11*T2^10 + 35*T1^12*T2^10 + 10*T1^5*T2^11 - 50*T1^6*T2^11 + 
       106*T1^7*T2^11 - 152*T1^8*T2^11 + 168*T1^9*T2^11 - 134*T1^10*T2^11 + 
       78*T1^11*T2^11 - 22*T1^12*T2^11 + 7*T1^6*T2^12 - 22*T1^7*T2^12 + 
       35*T1^8*T2^12 - 43*T1^9*T2^12 + 35*T1^10*T2^12 - 22*T1^11*T2^12 + 
       7*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 802] -> {-((4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4)/T^2), 
   (-2*(-114 + 342*T1 - 425*T1^2 + 342*T1^3 - 114*T1^4 + 342*T2 - 780*T1*T2 + 
      537*T1^2*T2 - 111*T1^3*T2 - 396*T1^4*T2 + 246*T1^5*T2 - 425*T2^2 + 
      537*T1*T2^2 + 474*T1^2*T2^2 - 985*T1^3*T2^2 + 1134*T1^4*T2^2 - 
      183*T1^5*T2^2 - 185*T1^6*T2^2 + 342*T2^3 - 111*T1*T2^3 - 
      985*T1^2*T2^3 + 858*T1^3*T2^3 - 420*T1^4*T2^3 - 625*T1^5*T2^3 + 
      393*T1^6*T2^3 + 54*T1^7*T2^3 - 114*T2^4 - 396*T1*T2^4 + 
      1134*T1^2*T2^4 - 420*T1^3*T2^4 - 240*T1^4*T2^4 + 780*T1^5*T2^4 - 
      114*T1^6*T2^4 - 204*T1^7*T2^4 + 14*T1^8*T2^4 + 246*T1*T2^5 - 
      183*T1^2*T2^5 - 625*T1^3*T2^5 + 780*T1^4*T2^5 - 498*T1^5*T2^5 - 
      265*T1^6*T2^5 + 321*T1^7*T2^5 - 42*T1^8*T2^5 - 185*T1^2*T2^6 + 
      393*T1^3*T2^6 - 114*T1^4*T2^6 - 265*T1^5*T2^6 + 546*T1^6*T2^6 - 
      327*T1^7*T2^6 + 55*T1^8*T2^6 + 54*T1^3*T2^7 - 204*T1^4*T2^7 + 
      321*T1^5*T2^7 - 327*T1^6*T2^7 + 180*T1^7*T2^7 - 42*T1^8*T2^7 + 
      14*T1^4*T2^8 - 42*T1^5*T2^8 + 55*T1^6*T2^8 - 42*T1^7*T2^8 + 
      14*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 803] -> {-((5 - 11*T + 5*T^2)/T), 
   (-5*(-45 + 101*T1 - 45*T1^2 + 101*T2 - 181*T1*T2 - 5*T1^2*T2 + 
      46*T1^3*T2 - 45*T2^2 - 5*T1*T2^2 + 204*T1^2*T2^2 - 115*T1^3*T2^2 + 
      5*T1^4*T2^2 + 46*T1*T2^3 - 115*T1^2*T2^3 + 61*T1^3*T2^3 - 9*T1^4*T2^3 + 
      5*T1^2*T2^4 - 9*T1^3*T2^4 + 5*T1^4*T2^4))/(T1^3*T2^2*(-1 + T1*T2))}, 
 Knot[12, Alternating, 804] -> 
  {(2 - 12*T + 32*T^2 - 50*T^3 + 57*T^4 - 50*T^5 + 32*T^6 - 12*T^7 + 2*T^8)/
    T^4, (-49 + 292*T1 - 772*T1^2 + 1195*T1^3 - 1357*T1^4 + 1195*T1^5 - 
     772*T1^6 + 292*T1^7 - 49*T1^8 + 292*T2 - 1500*T1*T2 + 3167*T1^2*T2 - 
     3322*T1^3*T2 + 2183*T1^4*T2 - 385*T1^5*T2 - 1354*T1^6*T2 + 
     2111*T1^7*T2 - 1164*T1^8*T2 + 244*T1^9*T2 - 772*T2^2 + 3167*T1*T2^2 - 
     4098*T1^2*T2^2 - 904*T1^3*T2^2 + 6001*T1^4*T2^2 - 9070*T1^5*T2^2 + 
     9201*T1^6*T2^2 - 5768*T1^7*T2^2 - 258*T1^8*T2^2 + 1631*T1^9*T2^2 - 
     516*T1^10*T2^2 + 1195*T2^3 - 3322*T1*T2^3 - 904*T1^2*T2^3 + 
     13822*T1^3*T2^3 - 16393*T1^4*T2^3 + 12280*T1^5*T2^3 - 4208*T1^6*T2^3 - 
     5605*T1^7*T2^3 + 12526*T1^8*T2^3 - 5128*T1^9*T2^3 - 490*T1^10*T2^3 + 
     595*T1^11*T2^3 - 1357*T2^4 + 2183*T1*T2^4 + 6001*T1^2*T2^4 - 
     16393*T1^3*T2^4 + 1040*T1^4*T2^4 + 13904*T1^5*T2^4 - 23734*T1^6*T2^4 + 
     26576*T1^7*T2^4 - 19480*T1^8*T2^4 - 3193*T1^9*T2^4 + 6193*T1^10*T2^4 - 
     889*T1^11*T2^4 - 445*T1^12*T2^4 + 1195*T2^5 - 385*T1*T2^5 - 
     9070*T1^2*T2^5 + 12280*T1^3*T2^5 + 13904*T1^4*T2^5 - 19952*T1^5*T2^5 + 
     16646*T1^6*T2^5 - 8290*T1^7*T2^5 - 4340*T1^8*T2^5 + 21708*T1^9*T2^5 - 
     5984*T1^10*T2^5 - 3646*T1^11*T2^5 + 1511*T1^12*T2^5 + 195*T1^13*T2^5 - 
     772*T2^6 - 1354*T1*T2^6 + 9201*T1^2*T2^6 - 4208*T1^3*T2^6 - 
     23734*T1^4*T2^6 + 16646*T1^5*T2^6 - 8907*T1^6*T2^6 + 3363*T1^7*T2^6 + 
     2613*T1^8*T2^6 - 9178*T1^9*T2^6 - 12406*T1^10*T2^6 + 9616*T1^11*T2^6 - 
     15*T1^12*T2^6 - 1162*T1^13*T2^6 - 4*T1^14*T2^6 + 292*T2^7 + 
     2111*T1*T2^7 - 5768*T1^2*T2^7 - 5605*T1^3*T2^7 + 26576*T1^4*T2^7 - 
     8290*T1^5*T2^7 + 3363*T1^6*T2^7 - 4290*T1^7*T2^7 + 2232*T1^8*T2^7 + 
     327*T1^9*T2^7 + 14870*T1^10*T2^7 - 700*T1^11*T2^7 - 6745*T1^12*T2^7 + 
     2296*T1^13*T2^7 + 287*T1^14*T2^7 - 44*T1^15*T2^7 - 49*T2^8 - 
     1164*T1*T2^8 - 258*T1^2*T2^8 + 12526*T1^3*T2^8 - 19480*T1^4*T2^8 - 
     4340*T1^5*T2^8 + 2613*T1^6*T2^8 + 2232*T1^7*T2^8 + 888*T1^8*T2^8 - 
     2880*T1^9*T2^8 - 4283*T1^10*T2^8 - 11492*T1^11*T2^8 + 10216*T1^12*T2^8 - 
     578*T1^13*T2^8 - 1410*T1^14*T2^8 + 180*T1^15*T2^8 + 15*T1^16*T2^8 + 
     244*T1*T2^9 + 1631*T1^2*T2^9 - 5128*T1^3*T2^9 - 3193*T1^4*T2^9 + 
     21708*T1^5*T2^9 - 9178*T1^6*T2^9 + 327*T1^7*T2^9 - 2880*T1^8*T2^9 + 
     3642*T1^9*T2^9 - 2709*T1^10*T2^9 + 13982*T1^11*T2^9 - 5568*T1^12*T2^9 - 
     4333*T1^13*T2^9 + 2936*T1^14*T2^9 - 193*T1^15*T2^9 - 92*T1^16*T2^9 - 
     516*T1^2*T2^10 - 490*T1^3*T2^10 + 6193*T1^4*T2^10 - 5984*T1^5*T2^10 - 
     12406*T1^6*T2^10 + 14870*T1^7*T2^10 - 4283*T1^8*T2^10 - 
     2709*T1^9*T2^10 + 7237*T1^10*T2^10 - 10954*T1^11*T2^10 - 
     1078*T1^12*T2^10 + 7840*T1^13*T2^10 - 3023*T1^14*T2^10 - 
     298*T1^15*T2^10 + 252*T1^16*T2^10 + 595*T1^3*T2^11 - 889*T1^4*T2^11 - 
     3646*T1^5*T2^11 + 9616*T1^6*T2^11 - 700*T1^7*T2^11 - 11492*T1^8*T2^11 + 
     13982*T1^9*T2^11 - 10954*T1^10*T2^11 + 4120*T1^11*T2^11 + 
     7104*T1^12*T2^11 - 8648*T1^13*T2^11 + 1778*T1^14*T2^11 + 
     1007*T1^15*T2^11 - 405*T1^16*T2^11 - 445*T1^4*T2^12 + 1511*T1^5*T2^12 - 
     15*T1^6*T2^12 - 6745*T1^7*T2^12 + 10216*T1^8*T2^12 - 5568*T1^9*T2^12 - 
     1078*T1^10*T2^12 + 7104*T1^11*T2^12 - 10304*T1^12*T2^12 + 
     6455*T1^13*T2^12 + 177*T1^14*T2^12 - 1561*T1^15*T2^12 + 
     467*T1^16*T2^12 + 195*T1^5*T2^13 - 1162*T1^6*T2^13 + 2296*T1^7*T2^13 - 
     578*T1^8*T2^13 - 4333*T1^9*T2^13 + 7840*T1^10*T2^13 - 8648*T1^11*T2^13 + 
     6455*T1^12*T2^13 - 1874*T1^13*T2^13 - 1928*T1^14*T2^13 + 
     1670*T1^15*T2^13 - 405*T1^16*T2^13 - 4*T1^6*T2^14 + 287*T1^7*T2^14 - 
     1410*T1^8*T2^14 + 2936*T1^9*T2^14 - 3023*T1^10*T2^14 + 
     1778*T1^11*T2^14 + 177*T1^12*T2^14 - 1928*T1^13*T2^14 + 
     2430*T1^14*T2^14 - 1249*T1^15*T2^14 + 252*T1^16*T2^14 - 44*T1^7*T2^15 + 
     180*T1^8*T2^15 - 193*T1^9*T2^15 - 298*T1^10*T2^15 + 1007*T1^11*T2^15 - 
     1561*T1^12*T2^15 + 1670*T1^13*T2^15 - 1249*T1^14*T2^15 + 
     516*T1^15*T2^15 - 92*T1^16*T2^15 + 15*T1^8*T2^16 - 92*T1^9*T2^16 + 
     252*T1^10*T2^16 - 405*T1^11*T2^16 + 467*T1^12*T2^16 - 405*T1^13*T2^16 + 
     252*T1^14*T2^16 - 92*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 805] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 
       4*T^7 + T^8))/T^5), -((-3 + 15*T1 - 33*T1^2 + 51*T1^3 - 60*T1^4 + 
      63*T1^5 - 60*T1^6 + 51*T1^7 - 33*T1^8 + 15*T1^9 - 3*T1^10 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 145*T1^3*T2 + 130*T1^4*T2 - 115*T1^5*T2 + 
      90*T1^6*T2 - 55*T1^7*T2 - 5*T1^8*T2 + 35*T1^9*T2 - 35*T1^10*T2 + 
      10*T1^11*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 + 71*T1^3*T2^2 + 
      58*T1^4*T2^2 - 103*T1^5*T2^2 + 151*T1^6*T2^2 - 191*T1^7*T2^2 + 
      256*T1^8*T2^2 - 193*T1^9*T2^2 + 95*T1^10*T2^2 + 5*T1^11*T2^2 - 
      11*T1^12*T2^2 + 51*T2^3 - 145*T1*T2^3 + 71*T1^2*T2^3 + 48*T1^3*T2^3 - 
      213*T1^4*T2^3 + 162*T1^5*T2^3 - 180*T1^6*T2^3 + 188*T1^7*T2^3 - 
      241*T1^8*T2^3 + 52*T1^9*T2^3 + 86*T1^10*T2^3 - 160*T1^11*T2^3 + 
      55*T1^12*T2^3 - 60*T2^4 + 130*T1*T2^4 + 58*T1^2*T2^4 - 213*T1^3*T2^4 + 
      363*T1^4*T2^4 - 208*T1^5*T2^4 + 260*T1^6*T2^4 - 267*T1^7*T2^4 + 
      300*T1^8*T2^4 + 42*T1^9*T2^4 - 157*T1^10*T2^4 + 127*T1^11*T2^4 + 
      88*T1^12*T2^4 - 100*T1^13*T2^4 + 20*T1^14*T2^4 + 63*T2^5 - 
      115*T1*T2^5 - 103*T1^2*T2^5 + 162*T1^3*T2^5 - 208*T1^4*T2^5 + 
      2*T1^5*T2^5 - 168*T1^6*T2^5 + 224*T1^7*T2^5 - 269*T1^8*T2^5 - 
      112*T1^9*T2^5 + 48*T1^10*T2^5 + 100*T1^11*T2^5 - 231*T1^12*T2^5 + 
      55*T1^13*T2^5 + 110*T1^14*T2^5 - 42*T1^15*T2^5 - 60*T2^6 + 90*T1*T2^6 + 
      151*T1^2*T2^6 - 180*T1^3*T2^6 + 260*T1^4*T2^6 - 168*T1^5*T2^6 + 
      423*T1^6*T2^6 - 426*T1^7*T2^6 + 333*T1^8*T2^6 + 154*T1^9*T2^6 - 
      57*T1^10*T2^6 + 12*T1^11*T2^6 - 80*T1^12*T2^6 + 200*T1^13*T2^6 - 
      189*T1^14*T2^6 - 90*T1^15*T2^6 + 60*T1^16*T2^6 + 51*T2^7 - 55*T1*T2^7 - 
      191*T1^2*T2^7 + 188*T1^3*T2^7 - 267*T1^4*T2^7 + 224*T1^5*T2^7 - 
      426*T1^6*T2^7 + 422*T1^7*T2^7 - 339*T1^8*T2^7 + 56*T1^9*T2^7 - 
      340*T1^10*T2^7 + 389*T1^11*T2^7 - 243*T1^12*T2^7 + 270*T1^13*T2^7 - 
      164*T1^14*T2^7 + 307*T1^15*T2^7 + 40*T1^16*T2^7 - 68*T1^17*T2^7 - 
      33*T2^8 - 5*T1*T2^8 + 256*T1^2*T2^8 - 241*T1^3*T2^8 + 300*T1^4*T2^8 - 
      269*T1^5*T2^8 + 333*T1^6*T2^8 - 339*T1^7*T2^8 + 137*T1^8*T2^8 + 
      105*T1^9*T2^8 - 39*T1^10*T2^8 + 201*T1^11*T2^8 - 465*T1^12*T2^8 + 
      263*T1^13*T2^8 - 500*T1^14*T2^8 + 187*T1^15*T2^8 - 446*T1^16*T2^8 + 
      65*T1^17*T2^8 + 55*T1^18*T2^8 + 15*T2^9 + 35*T1*T2^9 - 193*T1^2*T2^9 + 
      52*T1^3*T2^9 + 42*T1^4*T2^9 - 112*T1^5*T2^9 + 154*T1^6*T2^9 + 
      56*T1^7*T2^9 + 105*T1^8*T2^9 + 49*T1^9*T2^9 - 181*T1^10*T2^9 + 
      265*T1^11*T2^9 - 49*T1^12*T2^9 + 279*T1^13*T2^9 + 328*T1^14*T2^9 + 
      82*T1^15*T2^9 + 237*T1^16*T2^9 + 302*T1^17*T2^9 - 125*T1^18*T2^9 - 
      30*T1^19*T2^9 - 3*T2^10 - 35*T1*T2^10 + 95*T1^2*T2^10 + 86*T1^3*T2^10 - 
      157*T1^4*T2^10 + 48*T1^5*T2^10 - 57*T1^6*T2^10 - 340*T1^7*T2^10 - 
      39*T1^8*T2^10 - 181*T1^9*T2^10 - 180*T1^10*T2^10 + 261*T1^11*T2^10 - 
      831*T1^12*T2^10 + 608*T1^13*T2^10 - 1189*T1^14*T2^10 + 
      212*T1^15*T2^10 - 351*T1^16*T2^10 - 358*T1^17*T2^10 - 69*T1^18*T2^10 + 
      115*T1^19*T2^10 + 7*T1^20*T2^10 + 10*T1*T2^11 + 5*T1^2*T2^11 - 
      160*T1^3*T2^11 + 127*T1^4*T2^11 + 100*T1^5*T2^11 + 12*T1^6*T2^11 + 
      389*T1^7*T2^11 + 201*T1^8*T2^11 + 265*T1^9*T2^11 + 261*T1^10*T2^11 + 
      31*T1^11*T2^11 + 425*T1^12*T2^11 + 96*T1^13*T2^11 + 514*T1^14*T2^11 + 
      452*T1^15*T2^11 + 140*T1^16*T2^11 + 312*T1^17*T2^11 + 335*T1^18*T2^11 - 
      155*T1^19*T2^11 - 35*T1^20*T2^11 - 11*T1^2*T2^12 + 55*T1^3*T2^12 + 
      88*T1^4*T2^12 - 231*T1^5*T2^12 - 80*T1^6*T2^12 - 243*T1^7*T2^12 - 
      465*T1^8*T2^12 - 49*T1^9*T2^12 - 831*T1^10*T2^12 + 425*T1^11*T2^12 - 
      1007*T1^12*T2^12 + 491*T1^13*T2^12 - 1263*T1^14*T2^12 + 
      289*T1^15*T2^12 - 880*T1^16*T2^12 + 197*T1^17*T2^12 - 614*T1^18*T2^12 + 
      125*T1^19*T2^12 + 77*T1^20*T2^12 - 100*T1^4*T2^13 + 55*T1^5*T2^13 + 
      200*T1^6*T2^13 + 270*T1^7*T2^13 + 263*T1^8*T2^13 + 279*T1^9*T2^13 + 
      608*T1^10*T2^13 + 96*T1^11*T2^13 + 491*T1^12*T2^13 - 154*T1^13*T2^13 + 
      1094*T1^14*T2^13 - 204*T1^15*T2^13 + 807*T1^16*T2^13 - 
      152*T1^17*T2^13 + 553*T1^18*T2^13 - 5*T1^19*T2^13 - 119*T1^20*T2^13 + 
      20*T1^4*T2^14 + 110*T1^5*T2^14 - 189*T1^6*T2^14 - 164*T1^7*T2^14 - 
      500*T1^8*T2^14 + 328*T1^9*T2^14 - 1189*T1^10*T2^14 + 514*T1^11*T2^14 - 
      1263*T1^12*T2^14 + 1094*T1^13*T2^14 - 1669*T1^14*T2^14 + 
      508*T1^15*T2^14 - 840*T1^16*T2^14 + 216*T1^17*T2^14 - 529*T1^18*T2^14 - 
      70*T1^19*T2^14 + 140*T1^20*T2^14 - 42*T1^5*T2^15 - 90*T1^6*T2^15 + 
      307*T1^7*T2^15 + 187*T1^8*T2^15 + 82*T1^9*T2^15 + 212*T1^10*T2^15 + 
      452*T1^11*T2^15 + 289*T1^12*T2^15 - 204*T1^13*T2^15 + 508*T1^14*T2^15 + 
      258*T1^15*T2^15 + 390*T1^16*T2^15 - 206*T1^17*T2^15 + 465*T1^18*T2^15 + 
      135*T1^19*T2^15 - 147*T1^20*T2^15 + 60*T1^6*T2^16 + 40*T1^7*T2^16 - 
      446*T1^8*T2^16 + 237*T1^9*T2^16 - 351*T1^10*T2^16 + 140*T1^11*T2^16 - 
      880*T1^12*T2^16 + 807*T1^13*T2^16 - 840*T1^14*T2^16 + 390*T1^15*T2^16 - 
      871*T1^16*T2^16 + 577*T1^17*T2^16 - 416*T1^18*T2^16 - 190*T1^19*T2^16 + 
      140*T1^20*T2^16 - 68*T1^7*T2^17 + 65*T1^8*T2^17 + 302*T1^9*T2^17 - 
      358*T1^10*T2^17 + 312*T1^11*T2^17 + 197*T1^12*T2^17 - 152*T1^13*T2^17 + 
      216*T1^14*T2^17 - 206*T1^15*T2^17 + 577*T1^16*T2^17 - 320*T1^17*T2^17 + 
      71*T1^18*T2^17 + 265*T1^19*T2^17 - 119*T1^20*T2^17 + 55*T1^8*T2^18 - 
      125*T1^9*T2^18 - 69*T1^10*T2^18 + 335*T1^11*T2^18 - 614*T1^12*T2^18 + 
      553*T1^13*T2^18 - 529*T1^14*T2^18 + 465*T1^15*T2^18 - 416*T1^16*T2^18 + 
      71*T1^17*T2^18 + 151*T1^18*T2^18 - 235*T1^19*T2^18 + 77*T1^20*T2^18 - 
      30*T1^9*T2^19 + 115*T1^10*T2^19 - 155*T1^11*T2^19 + 125*T1^12*T2^19 - 
      5*T1^13*T2^19 - 70*T1^14*T2^19 + 135*T1^15*T2^19 - 190*T1^16*T2^19 + 
      265*T1^17*T2^19 - 235*T1^18*T2^19 + 145*T1^19*T2^19 - 35*T1^20*T2^19 + 
      7*T1^10*T2^20 - 35*T1^11*T2^20 + 77*T1^12*T2^20 - 119*T1^13*T2^20 + 
      140*T1^14*T2^20 - 147*T1^15*T2^20 + 140*T1^16*T2^20 - 119*T1^17*T2^20 + 
      77*T1^18*T2^20 - 35*T1^19*T2^20 + 7*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 806] -> 
  {-(((1 - T + T^2)*(2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6))/
     T^4), -((-23 + 127*T1 - 313*T1^2 + 511*T1^3 - 593*T1^4 + 511*T1^5 - 
      313*T1^6 + 127*T1^7 - 23*T1^8 + 127*T2 - 618*T1*T2 + 1268*T1^2*T2 - 
      1686*T1^3*T2 + 1420*T1^4*T2 - 670*T1^5*T2 - 124*T1^6*T2 + 432*T1^7*T2 - 
      332*T1^8*T2 + 83*T1^9*T2 - 313*T2^2 + 1268*T1*T2^2 - 1821*T1^2*T2^2 + 
      1261*T1^3*T2^2 + 749*T1^4*T2^2 - 2629*T1^5*T2^2 + 3341*T1^6*T2^2 - 
      2303*T1^7*T2^2 + 879*T1^8*T2^2 + 80*T1^9*T2^2 - 97*T1^10*T2^2 + 
      511*T2^3 - 1686*T1*T2^3 + 1261*T1^2*T2^3 + 937*T1^3*T2^3 - 
      4325*T1^4*T2^3 + 5466*T1^5*T2^3 - 4005*T1^6*T2^3 + 394*T1^7*T2^3 + 
      1795*T1^8*T2^3 - 2006*T1^9*T2^3 + 624*T1^10*T2^3 - 17*T1^11*T2^3 - 
      593*T2^4 + 1420*T1*T2^4 + 749*T1^2*T2^4 - 4325*T1^3*T2^4 + 
      7296*T1^4*T2^4 - 5373*T1^5*T2^4 + 726*T1^6*T2^4 + 4395*T1^7*T2^4 - 
      4656*T1^8*T2^4 + 1923*T1^9*T2^4 + 1117*T1^10*T2^4 - 1132*T1^11*T2^4 + 
      223*T1^12*T2^4 + 511*T2^5 - 670*T1*T2^5 - 2629*T1^2*T2^5 + 
      5466*T1^3*T2^5 - 5373*T1^4*T2^5 + 325*T1^5*T2^5 + 4343*T1^6*T2^5 - 
      5744*T1^7*T2^5 + 567*T1^8*T2^5 + 4461*T1^9*T2^5 - 5171*T1^10*T2^5 + 
      1628*T1^11*T2^5 + 804*T1^12*T2^5 - 369*T1^13*T2^5 - 313*T2^6 - 
      124*T1*T2^6 + 3341*T1^2*T2^6 - 4005*T1^3*T2^6 + 726*T1^4*T2^6 + 
      4343*T1^5*T2^6 - 5857*T1^6*T2^6 + 2313*T1^7*T2^6 + 4451*T1^8*T2^6 - 
      5931*T1^9*T2^6 + 916*T1^10*T2^6 + 3717*T1^11*T2^6 - 3699*T1^12*T2^6 + 
      184*T1^13*T2^6 + 335*T1^14*T2^6 + 127*T2^7 + 432*T1*T2^7 - 
      2303*T1^2*T2^7 + 394*T1^3*T2^7 + 4395*T1^4*T2^7 - 5744*T1^5*T2^7 + 
      2313*T1^6*T2^7 + 5363*T1^7*T2^7 - 9201*T1^8*T2^7 + 4821*T1^9*T2^7 + 
      3969*T1^10*T2^7 - 5175*T1^11*T2^7 + 1791*T1^12*T2^7 + 2746*T1^13*T2^7 - 
      844*T1^14*T2^7 - 181*T1^15*T2^7 - 23*T2^8 - 332*T1*T2^8 + 
      879*T1^2*T2^8 + 1795*T1^3*T2^8 - 4656*T1^4*T2^8 + 567*T1^5*T2^8 + 
      4451*T1^6*T2^8 - 9201*T1^7*T2^8 + 3708*T1^8*T2^8 + 5297*T1^9*T2^8 - 
      11521*T1^10*T2^8 + 4681*T1^11*T2^8 + 1172*T1^12*T2^8 - 
      4343*T1^13*T2^8 - 411*T1^14*T2^8 + 768*T1^15*T2^8 + 41*T1^16*T2^8 + 
      83*T1*T2^9 + 80*T1^2*T2^9 - 2006*T1^3*T2^9 + 1923*T1^4*T2^9 + 
      4461*T1^5*T2^9 - 5931*T1^6*T2^9 + 4821*T1^7*T2^9 + 5297*T1^8*T2^9 - 
      9267*T1^9*T2^9 + 7329*T1^10*T2^9 + 3782*T1^11*T2^9 - 5109*T1^12*T2^9 + 
      3320*T1^13*T2^9 + 3043*T1^14*T2^9 - 1196*T1^15*T2^9 - 225*T1^16*T2^9 - 
      97*T1^2*T2^10 + 624*T1^3*T2^10 + 1117*T1^4*T2^10 - 5171*T1^5*T2^10 + 
      916*T1^6*T2^10 + 3969*T1^7*T2^10 - 11521*T1^8*T2^10 + 7329*T1^9*T2^10 - 
      1213*T1^10*T2^10 - 6305*T1^11*T2^10 + 1106*T1^12*T2^10 + 
      2551*T1^13*T2^10 - 5923*T1^14*T2^10 + 932*T1^15*T2^10 + 
      551*T1^16*T2^10 - 17*T1^3*T2^11 - 1132*T1^4*T2^11 + 1628*T1^5*T2^11 + 
      3717*T1^6*T2^11 - 5175*T1^7*T2^11 + 4681*T1^8*T2^11 + 3782*T1^9*T2^11 - 
      6305*T1^10*T2^11 + 4923*T1^11*T2^11 + 4659*T1^12*T2^11 - 
      6920*T1^13*T2^11 + 5885*T1^14*T2^11 + 342*T1^15*T2^11 - 
      897*T1^16*T2^11 + 223*T1^4*T2^12 + 804*T1^5*T2^12 - 3699*T1^6*T2^12 + 
      1791*T1^7*T2^12 + 1172*T1^8*T2^12 - 5109*T1^9*T2^12 + 
      1106*T1^10*T2^12 + 4659*T1^11*T2^12 - 10780*T1^12*T2^12 + 
      8039*T1^13*T2^12 - 3331*T1^14*T2^12 - 1748*T1^15*T2^12 + 
      1039*T1^16*T2^12 - 369*T1^5*T2^13 + 184*T1^6*T2^13 + 2746*T1^7*T2^13 - 
      4343*T1^8*T2^13 + 3320*T1^9*T2^13 + 2551*T1^10*T2^13 - 
      6920*T1^11*T2^13 + 8039*T1^12*T2^13 - 3485*T1^13*T2^13 - 
      521*T1^14*T2^13 + 2494*T1^15*T2^13 - 897*T1^16*T2^13 + 335*T1^6*T2^14 - 
      844*T1^7*T2^14 - 411*T1^8*T2^14 + 3043*T1^9*T2^14 - 5923*T1^10*T2^14 + 
      5885*T1^11*T2^14 - 3331*T1^12*T2^14 - 521*T1^13*T2^14 + 
      2289*T1^14*T2^14 - 2032*T1^15*T2^14 + 551*T1^16*T2^14 - 
      181*T1^7*T2^15 + 768*T1^8*T2^15 - 1196*T1^9*T2^15 + 932*T1^10*T2^15 + 
      342*T1^11*T2^15 - 1748*T1^12*T2^15 + 2494*T1^13*T2^15 - 
      2032*T1^14*T2^15 + 1054*T1^15*T2^15 - 225*T1^16*T2^15 + 41*T1^8*T2^16 - 
      225*T1^9*T2^16 + 551*T1^10*T2^16 - 897*T1^11*T2^16 + 1039*T1^12*T2^16 - 
      897*T1^13*T2^16 + 551*T1^14*T2^16 - 225*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 807] -> 
  {-(((1 - T + T^2)*(2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-23 + 127*T1 - 325*T1^2 + 547*T1^3 - 641*T1^4 + 547*T1^5 - 325*T1^6 + 
      127*T1^7 - 23*T1^8 + 127*T2 - 618*T1*T2 + 1334*T1^2*T2 - 1840*T1^3*T2 + 
      1552*T1^4*T2 - 692*T1^5*T2 - 190*T1^6*T2 + 476*T1^7*T2 - 332*T1^8*T2 + 
      83*T1^9*T2 - 325*T2^2 + 1334*T1*T2^2 - 2153*T1^2*T2^2 + 
      1799*T1^3*T2^2 + 405*T1^4*T2^2 - 2595*T1^5*T2^2 + 3429*T1^6*T2^2 - 
      2233*T1^7*T2^2 + 759*T1^8*T2^2 + 102*T1^9*T2^2 - 101*T1^10*T2^2 + 
      547*T2^3 - 1840*T1*T2^3 + 1799*T1^2*T2^3 + 434*T1^3*T2^3 - 
      4553*T1^4*T2^3 + 6044*T1^5*T2^3 - 4222*T1^6*T2^3 - 65*T1^7*T2^3 + 
      2240*T1^8*T2^3 - 2093*T1^9*T2^3 + 646*T1^10*T2^3 - 17*T1^11*T2^3 - 
      641*T2^4 + 1552*T1*T2^4 + 405*T1^2*T2^4 - 4553*T1^3*T2^4 + 
      8483*T1^4*T2^4 - 5935*T1^5*T2^4 - 257*T1^6*T2^4 + 6143*T1^7*T2^4 - 
      5421*T1^8*T2^4 + 1651*T1^9*T2^4 + 1351*T1^10*T2^4 - 1220*T1^11*T2^4 + 
      239*T1^12*T2^4 + 547*T2^5 - 692*T1*T2^5 - 2595*T1^2*T2^5 + 
      6044*T1^3*T2^5 - 5935*T1^4*T2^5 - 1517*T1^5*T2^5 + 8094*T1^6*T2^5 - 
      8343*T1^7*T2^5 + 423*T1^8*T2^5 + 5826*T1^9*T2^5 - 5578*T1^10*T2^5 + 
      1578*T1^11*T2^5 + 848*T1^12*T2^5 - 393*T1^13*T2^5 - 325*T2^6 - 
      190*T1*T2^6 + 3429*T1^2*T2^6 - 4222*T1^3*T2^6 - 257*T1^4*T2^6 + 
      8094*T1^5*T2^6 - 9386*T1^6*T2^6 + 1502*T1^7*T2^6 + 8062*T1^8*T2^6 - 
      8974*T1^9*T2^6 + 1107*T1^10*T2^6 + 4010*T1^11*T2^6 - 3751*T1^12*T2^6 + 
      250*T1^13*T2^6 + 347*T1^14*T2^6 + 127*T2^7 + 476*T1*T2^7 - 
      2233*T1^2*T2^7 - 65*T1^3*T2^7 + 6143*T1^4*T2^7 - 8343*T1^5*T2^7 + 
      1502*T1^6*T2^7 + 11423*T1^7*T2^7 - 14205*T1^8*T2^7 + 5957*T1^9*T2^7 + 
      6832*T1^10*T2^7 - 6886*T1^11*T2^7 + 2311*T1^12*T2^7 + 2499*T1^13*T2^7 - 
      910*T1^14*T2^7 - 181*T1^15*T2^7 - 23*T2^8 - 332*T1*T2^8 + 
      759*T1^2*T2^8 + 2240*T1^3*T2^8 - 5421*T1^4*T2^8 + 423*T1^5*T2^8 + 
      8062*T1^6*T2^8 - 14205*T1^7*T2^8 + 2460*T1^8*T2^8 + 10709*T1^9*T2^8 - 
      18004*T1^10*T2^8 + 6325*T1^11*T2^8 + 1427*T1^12*T2^8 - 
      4596*T1^13*T2^8 - 59*T1^14*T2^8 + 768*T1^15*T2^8 + 41*T1^16*T2^8 + 
      83*T1*T2^9 + 102*T1^2*T2^9 - 2093*T1^3*T2^9 + 1651*T1^4*T2^9 + 
      5826*T1^5*T2^9 - 8974*T1^6*T2^9 + 5957*T1^7*T2^9 + 10709*T1^8*T2^9 - 
      14919*T1^9*T2^9 + 10412*T1^10*T2^9 + 6201*T1^11*T2^9 - 
      7203*T1^12*T2^9 + 4027*T1^13*T2^9 + 2639*T1^14*T2^9 - 1284*T1^15*T2^9 - 
      225*T1^16*T2^9 - 101*T1^2*T2^10 + 646*T1^3*T2^10 + 1351*T1^4*T2^10 - 
      5578*T1^5*T2^10 + 1107*T1^6*T2^10 + 6832*T1^7*T2^10 - 
      18004*T1^8*T2^10 + 10412*T1^9*T2^10 - 556*T1^10*T2^10 - 
      10236*T1^11*T2^10 + 2471*T1^12*T2^10 + 2654*T1^13*T2^10 - 
      5829*T1^14*T2^10 + 1086*T1^15*T2^10 + 571*T1^16*T2^10 - 17*T1^3*T2^11 - 
      1220*T1^4*T2^11 + 1578*T1^5*T2^11 + 4010*T1^6*T2^11 - 6886*T1^7*T2^11 + 
      6325*T1^8*T2^11 + 6201*T1^9*T2^11 - 10236*T1^10*T2^11 + 
      8265*T1^11*T2^11 + 4875*T1^12*T2^11 - 7612*T1^13*T2^11 + 
      5751*T1^14*T2^11 + 320*T1^15*T2^11 - 957*T1^16*T2^11 + 239*T1^4*T2^12 + 
      848*T1^5*T2^12 - 3751*T1^6*T2^12 + 2311*T1^7*T2^12 + 1427*T1^8*T2^12 - 
      7203*T1^9*T2^12 + 2471*T1^10*T2^12 + 4875*T1^11*T2^12 - 
      12477*T1^12*T2^12 + 8515*T1^13*T2^12 - 2805*T1^14*T2^12 - 
      1924*T1^15*T2^12 + 1119*T1^16*T2^12 - 393*T1^5*T2^13 + 250*T1^6*T2^13 + 
      2499*T1^7*T2^13 - 4596*T1^8*T2^13 + 4027*T1^9*T2^13 + 
      2654*T1^10*T2^13 - 7612*T1^11*T2^13 + 8515*T1^12*T2^13 - 
      2790*T1^13*T2^13 - 1393*T1^14*T2^13 + 2736*T1^15*T2^13 - 
      957*T1^16*T2^13 + 347*T1^6*T2^14 - 910*T1^7*T2^14 - 59*T1^8*T2^14 + 
      2639*T1^9*T2^14 - 5829*T1^10*T2^14 + 5751*T1^11*T2^14 - 
      2805*T1^12*T2^14 - 1393*T1^13*T2^14 + 2853*T1^14*T2^14 - 
      2142*T1^15*T2^14 + 571*T1^16*T2^14 - 181*T1^7*T2^15 + 768*T1^8*T2^15 - 
      1284*T1^9*T2^15 + 1086*T1^10*T2^15 + 320*T1^11*T2^15 - 
      1924*T1^12*T2^15 + 2736*T1^13*T2^15 - 2142*T1^14*T2^15 + 
      1054*T1^15*T2^15 - 225*T1^16*T2^15 + 41*T1^8*T2^16 - 225*T1^9*T2^16 + 
      571*T1^10*T2^16 - 957*T1^11*T2^16 + 1119*T1^12*T2^16 - 
      957*T1^13*T2^16 + 571*T1^14*T2^16 - 225*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 808] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((-72 + 360*T1 - 770*T1^2 + 986*T1^3 - 770*T1^4 + 360*T1^5 - 72*T1^6 + 
      360*T2 - 1575*T1*T2 + 2725*T1^2*T2 - 2520*T1^3*T2 + 765*T1^4*T2 + 
      610*T1^5*T2 - 765*T1^6*T2 + 225*T1^7*T2 - 770*T2^2 + 2725*T1*T2^2 - 
      2791*T1^2*T2^2 - 590*T1^3*T2^2 + 5179*T1^4*T2^2 - 5582*T1^5*T2^2 + 
      2777*T1^6*T2^2 - 155*T1^7*T2^2 - 194*T1^8*T2^2 + 986*T2^3 - 
      2520*T1*T2^3 - 590*T1^2*T2^3 + 7541*T1^3*T2^3 - 11561*T1^4*T2^3 + 
      6136*T1^5*T2^3 + 1217*T1^6*T2^3 - 3758*T1^7*T2^3 + 1575*T1^8*T2^3 - 
      121*T1^9*T2^3 - 770*T2^4 + 765*T1*T2^4 + 5179*T1^2*T2^4 - 
      11561*T1^3*T2^4 + 8341*T1^4*T2^4 + 4993*T1^5*T2^4 - 12503*T1^6*T2^4 + 
      8365*T1^7*T2^4 - 983*T1^8*T2^4 - 1305*T1^9*T2^4 + 382*T1^10*T2^4 + 
      360*T2^5 + 610*T1*T2^5 - 5582*T1^2*T2^5 + 6136*T1^3*T2^5 + 
      4993*T1^4*T2^5 - 17343*T1^5*T2^5 + 14803*T1^6*T2^5 - 511*T1^7*T2^5 - 
      7103*T1^8*T2^5 + 4882*T1^9*T2^5 - 335*T1^10*T2^5 - 315*T1^11*T2^5 - 
      72*T2^6 - 765*T1*T2^6 + 2777*T1^2*T2^6 + 1217*T1^3*T2^6 - 
      12503*T1^4*T2^6 + 14803*T1^5*T2^6 - 2292*T1^6*T2^6 - 13155*T1^7*T2^6 + 
      11717*T1^8*T2^6 - 2917*T1^9*T2^6 - 2851*T1^10*T2^6 + 1125*T1^11*T2^6 + 
      90*T1^12*T2^6 + 225*T1*T2^7 - 155*T1^2*T2^7 - 3758*T1^3*T2^7 + 
      8365*T1^4*T2^7 - 511*T1^5*T2^7 - 13155*T1^6*T2^7 + 18991*T1^7*T2^7 - 
      6015*T1^8*T2^7 - 4874*T1^9*T2^7 + 6706*T1^10*T2^7 - 1100*T1^11*T2^7 - 
      450*T1^12*T2^7 - 194*T1^2*T2^8 + 1575*T1^3*T2^8 - 983*T1^4*T2^8 - 
      7103*T1^5*T2^8 + 11717*T1^6*T2^8 - 6015*T1^7*T2^8 - 9127*T1^8*T2^8 + 
      12823*T1^9*T2^8 - 7145*T1^10*T2^8 - 495*T1^11*T2^8 + 958*T1^12*T2^8 - 
      121*T1^3*T2^9 - 1305*T1^4*T2^9 + 4882*T1^5*T2^9 - 2917*T1^6*T2^9 - 
      4874*T1^7*T2^9 + 12823*T1^8*T2^9 - 9241*T1^9*T2^9 + 1714*T1^10*T2^9 + 
      2790*T1^11*T2^9 - 1228*T1^12*T2^9 + 382*T1^4*T2^10 - 335*T1^5*T2^10 - 
      2851*T1^6*T2^10 + 6706*T1^7*T2^10 - 7145*T1^8*T2^10 + 1714*T1^9*T2^10 + 
      2717*T1^10*T2^10 - 3215*T1^11*T2^10 + 958*T1^12*T2^10 - 
      315*T1^5*T2^11 + 1125*T1^6*T2^11 - 1100*T1^7*T2^11 - 495*T1^8*T2^11 + 
      2790*T1^9*T2^11 - 3215*T1^10*T2^11 + 1935*T1^11*T2^11 - 
      450*T1^12*T2^11 + 90*T1^6*T2^12 - 450*T1^7*T2^12 + 958*T1^8*T2^12 - 
      1228*T1^9*T2^12 + 958*T1^10*T2^12 - 450*T1^11*T2^12 + 90*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 809] -> 
  {(2 - 11*T + 27*T^2 - 39*T^3 + 43*T^4 - 39*T^5 + 27*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 654*T1^2 + 940*T1^3 - 1035*T1^4 + 940*T1^5 - 
     654*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1244*T1*T2 + 2361*T1^2*T2 - 
     2169*T1^3*T2 + 1382*T1^4*T2 - 422*T1^5*T2 - 717*T1^6*T2 + 1525*T1^7*T2 - 
     958*T1^8*T2 + 224*T1^9*T2 - 654*T2^2 + 2361*T1*T2^2 - 2488*T1^2*T2^2 - 
     1422*T1^3*T2^2 + 3949*T1^4*T2^2 - 5098*T1^5*T2^2 + 5677*T1^6*T2^2 - 
     4446*T1^7*T2^2 + 212*T1^8*T2^2 + 1173*T1^9*T2^2 - 438*T1^10*T2^2 + 
     940*T2^3 - 2169*T1*T2^3 - 1422*T1^2*T2^3 + 9461*T1^3*T2^3 - 
     8548*T1^4*T2^3 + 5736*T1^5*T2^3 - 3174*T1^6*T2^3 - 1582*T1^7*T2^3 + 
     7769*T1^8*T2^3 - 3879*T1^9*T2^3 - 189*T1^10*T2^3 + 472*T1^11*T2^3 - 
     1035*T2^4 + 1382*T1*T2^4 + 3949*T1^2*T2^4 - 8548*T1^3*T2^4 - 
     3388*T1^4*T2^4 + 9489*T1^5*T2^4 - 11330*T1^6*T2^4 + 13585*T1^7*T2^4 - 
     13308*T1^8*T2^4 - 514*T1^9*T2^4 + 3799*T1^10*T2^4 - 686*T1^11*T2^4 - 
     347*T1^12*T2^4 + 940*T2^5 - 422*T1*T2^5 - 5098*T1^2*T2^5 + 
     5736*T1^3*T2^5 + 9489*T1^4*T2^5 - 7826*T1^5*T2^5 + 4037*T1^6*T2^5 - 
     3475*T1^7*T2^5 + 1036*T1^8*T2^5 + 10884*T1^9*T2^5 - 3678*T1^10*T2^5 - 
     2125*T1^11*T2^5 + 1030*T1^12*T2^5 + 160*T1^13*T2^5 - 654*T2^6 - 
     717*T1*T2^6 + 5677*T1^2*T2^6 - 3174*T1^3*T2^6 - 11330*T1^4*T2^6 + 
     4037*T1^5*T2^6 - 1948*T1^6*T2^6 + 5020*T1^7*T2^6 - 4744*T1^8*T2^6 - 
     3259*T1^9*T2^6 - 6272*T1^10*T2^6 + 4980*T1^11*T2^6 + 193*T1^12*T2^6 - 
     849*T1^13*T2^6 - 6*T1^14*T2^6 + 268*T2^7 + 1525*T1*T2^7 - 
     4446*T1^2*T2^7 - 1582*T1^3*T2^7 + 13585*T1^4*T2^7 - 3475*T1^5*T2^7 + 
     5020*T1^6*T2^7 - 9767*T1^7*T2^7 + 6785*T1^8*T2^7 + 1843*T1^9*T2^7 + 
     4469*T1^10*T2^7 + 1386*T1^11*T2^7 - 4276*T1^12*T2^7 + 1413*T1^13*T2^7 + 
     249*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 958*T1*T2^8 + 212*T1^2*T2^8 + 
     7769*T1^3*T2^8 - 13308*T1^4*T2^8 + 1036*T1^5*T2^8 - 4744*T1^6*T2^8 + 
     6785*T1^7*T2^8 + 1392*T1^8*T2^8 - 8393*T1^9*T2^8 + 2186*T1^10*T2^8 - 
     6668*T1^11*T2^8 + 5024*T1^12*T2^8 + 131*T1^13*T2^8 - 1078*T1^14*T2^8 + 
     142*T1^15*T2^8 + 15*T1^16*T2^8 + 224*T1*T2^9 + 1173*T1^2*T2^9 - 
     3879*T1^3*T2^9 - 514*T1^4*T2^9 + 10884*T1^5*T2^9 - 3259*T1^6*T2^9 + 
     1843*T1^7*T2^9 - 8393*T1^8*T2^9 + 8159*T1^9*T2^9 - 1334*T1^10*T2^9 + 
     4685*T1^11*T2^9 - 1315*T1^12*T2^9 - 3208*T1^13*T2^9 + 1980*T1^14*T2^9 - 
     103*T1^15*T2^9 - 84*T1^16*T2^9 - 438*T1^2*T2^10 - 189*T1^3*T2^10 + 
     3799*T1^4*T2^10 - 3678*T1^5*T2^10 - 6272*T1^6*T2^10 + 4469*T1^7*T2^10 + 
     2186*T1^8*T2^10 - 1334*T1^9*T2^10 - 610*T1^10*T2^10 - 2827*T1^11*T2^10 - 
     1214*T1^12*T2^10 + 4476*T1^13*T2^10 - 1685*T1^14*T2^10 - 
     321*T1^15*T2^10 + 210*T1^16*T2^10 + 472*T1^3*T2^11 - 686*T1^4*T2^11 - 
     2125*T1^5*T2^11 + 4980*T1^6*T2^11 + 1386*T1^7*T2^11 - 6668*T1^8*T2^11 + 
     4685*T1^9*T2^11 - 2827*T1^10*T2^11 + 2194*T1^11*T2^11 + 
     2781*T1^12*T2^11 - 4434*T1^13*T2^11 + 848*T1^14*T2^11 + 
     766*T1^15*T2^11 - 308*T1^16*T2^11 - 347*T1^4*T2^12 + 1030*T1^5*T2^12 + 
     193*T1^6*T2^12 - 4276*T1^7*T2^12 + 5024*T1^8*T2^12 - 1315*T1^9*T2^12 - 
     1214*T1^10*T2^12 + 2781*T1^11*T2^12 - 4896*T1^12*T2^12 + 
     3758*T1^13*T2^12 + 43*T1^14*T2^12 - 1038*T1^15*T2^12 + 341*T1^16*T2^12 + 
     160*T1^5*T2^13 - 849*T1^6*T2^13 + 1413*T1^7*T2^13 + 131*T1^8*T2^13 - 
     3208*T1^9*T2^13 + 4476*T1^10*T2^13 - 4434*T1^11*T2^13 + 
     3758*T1^12*T2^13 - 1561*T1^13*T2^13 - 1044*T1^14*T2^13 + 
     1131*T1^15*T2^13 - 308*T1^16*T2^13 - 6*T1^6*T2^14 + 249*T1^7*T2^14 - 
     1078*T1^8*T2^14 + 1980*T1^9*T2^14 - 1685*T1^10*T2^14 + 848*T1^11*T2^14 + 
     43*T1^12*T2^14 - 1044*T1^13*T2^14 + 1622*T1^14*T2^14 - 939*T1^15*T2^14 + 
     210*T1^16*T2^14 - 40*T1^7*T2^15 + 142*T1^8*T2^15 - 103*T1^9*T2^15 - 
     321*T1^10*T2^15 + 766*T1^11*T2^15 - 1038*T1^12*T2^15 + 
     1131*T1^13*T2^15 - 939*T1^14*T2^15 + 428*T1^15*T2^15 - 84*T1^16*T2^15 + 
     15*T1^8*T2^16 - 84*T1^9*T2^16 + 210*T1^10*T2^16 - 308*T1^11*T2^16 + 
     341*T1^12*T2^16 - 308*T1^13*T2^16 + 210*T1^14*T2^16 - 84*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 810] -> 
  {(4 - 23*T + 57*T^2 - 75*T^3 + 57*T^4 - 23*T^5 + 4*T^6)/T^3, 
   (-272 + 1552*T1 - 3820*T1^2 + 5008*T1^3 - 3820*T1^4 + 1552*T1^5 - 
     272*T1^6 + 1552*T2 - 7684*T1*T2 + 15094*T1^2*T2 - 12050*T1^3*T2 + 
     94*T1^4*T2 + 7734*T1^5*T2 - 5200*T1^6*T2 + 1184*T1^7*T2 - 3820*T2^2 + 
     15094*T1*T2^2 - 17280*T1^2*T2^2 - 12949*T1^3*T2^2 + 42776*T1^4*T2^2 - 
     36661*T1^5*T2^2 + 6888*T1^6*T2^2 + 4606*T1^7*T2^2 - 1996*T1^8*T2^2 + 
     5008*T2^3 - 12050*T1*T2^3 - 12949*T1^2*T2^3 + 77905*T1^3*T2^3 - 
     84923*T1^4*T2^3 + 16129*T1^5*T2^3 + 44125*T1^6*T2^3 - 28852*T1^7*T2^3 + 
     3406*T1^8*T2^3 + 1408*T1^9*T2^3 - 3820*T2^4 + 94*T1*T2^4 + 
     42776*T1^2*T2^4 - 84923*T1^3*T2^4 + 1737*T1^4*T2^4 + 119137*T1^5*T2^4 - 
     129327*T1^6*T2^4 + 29527*T1^7*T2^4 + 15410*T1^8*T2^4 - 7082*T1^9*T2^4 - 
     172*T1^10*T2^4 + 1552*T2^5 + 7734*T1*T2^5 - 36661*T1^2*T2^5 + 
     16129*T1^3*T2^5 + 119137*T1^4*T2^5 - 182880*T1^5*T2^5 + 
     79200*T1^6*T2^5 + 61624*T1^7*T2^5 - 58127*T1^8*T2^5 + 10478*T1^9*T2^5 + 
     2582*T1^10*T2^5 - 288*T1^11*T2^5 - 272*T2^6 - 5200*T1*T2^6 + 
     6888*T1^2*T2^6 + 44125*T1^3*T2^6 - 129327*T1^4*T2^6 + 79200*T1^5*T2^6 + 
     75456*T1^6*T2^6 - 148756*T1^7*T2^6 + 61839*T1^8*T2^6 + 8083*T1^9*T2^6 - 
     10316*T1^10*T2^6 + 1056*T1^11*T2^6 + 112*T1^12*T2^6 + 1184*T1*T2^7 + 
     4606*T1^2*T2^7 - 28852*T1^3*T2^7 + 29527*T1^4*T2^7 + 61624*T1^5*T2^7 - 
     148756*T1^6*T2^7 + 113324*T1^7*T2^7 + 4111*T1^8*T2^7 - 44729*T1^9*T2^7 + 
     18287*T1^10*T2^7 - 546*T1^11*T2^7 - 656*T1^12*T2^7 - 1996*T1^2*T2^8 + 
     3406*T1^3*T2^8 + 15410*T1^4*T2^8 - 58127*T1^5*T2^8 + 61839*T1^6*T2^8 + 
     4111*T1^7*T2^8 - 69225*T1^8*T2^8 + 56323*T1^9*T2^8 - 11956*T1^10*T2^8 - 
     3770*T1^11*T2^8 + 1652*T1^12*T2^8 + 1408*T1^3*T2^9 - 7082*T1^4*T2^9 + 
     10478*T1^5*T2^9 + 8083*T1^6*T2^9 - 44729*T1^7*T2^9 + 56323*T1^8*T2^9 - 
     25697*T1^9*T2^9 - 5425*T1^10*T2^9 + 8374*T1^11*T2^9 - 2192*T1^12*T2^9 - 
     172*T1^4*T2^10 + 2582*T1^5*T2^10 - 10316*T1^6*T2^10 + 18287*T1^7*T2^10 - 
     11956*T1^8*T2^10 - 5425*T1^9*T2^10 + 13852*T1^10*T2^10 - 
     7906*T1^11*T2^10 + 1652*T1^12*T2^10 - 288*T1^5*T2^11 + 1056*T1^6*T2^11 - 
     546*T1^7*T2^11 - 3770*T1^8*T2^11 + 8374*T1^9*T2^11 - 7906*T1^10*T2^11 + 
     3540*T1^11*T2^11 - 656*T1^12*T2^11 + 112*T1^6*T2^12 - 656*T1^7*T2^12 + 
     1652*T1^8*T2^12 - 2192*T1^9*T2^12 + 1652*T1^10*T2^12 - 656*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 811] -> 
  {((1 - T + T^2 - T^3 + T^4)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^4, 
   -((219 - 722*T1 + 1359*T1^2 - 1846*T1^3 + 2055*T1^4 - 1846*T1^5 + 
      1359*T1^6 - 722*T1^7 + 219*T1^8 - 722*T2 + 1760*T1*T2 - 2432*T1^2*T2 + 
      2216*T1^3*T2 - 1487*T1^4*T2 + 163*T1^5*T2 + 866*T1^6*T2 - 
      1562*T1^7*T2 + 1370*T1^8*T2 - 632*T1^9*T2 + 1359*T2^2 - 2432*T1*T2^2 + 
      2612*T1^2*T2^2 - 1808*T1^3*T2^2 + 1252*T1^4*T2^2 - 134*T1^5*T2^2 + 
      112*T1^6*T2^2 + 16*T1^7*T2^2 + 788*T1^8*T2^2 - 1292*T1^9*T2^2 + 
      1017*T1^10*T2^2 - 1846*T2^3 + 2216*T1*T2^3 - 1808*T1^2*T2^3 + 
      858*T1^3*T2^3 - 910*T1^4*T2^3 - 253*T1^5*T2^3 - 333*T1^6*T2^3 - 
      334*T1^7*T2^3 - 418*T1^8*T2^3 + 168*T1^9*T2^3 + 446*T1^10*T2^3 - 
      1144*T1^11*T2^3 + 2055*T2^4 - 1487*T1*T2^4 + 1252*T1^2*T2^4 - 
      910*T1^3*T2^4 + 1778*T1^4*T2^4 - 422*T1^5*T2^4 + 1526*T1^6*T2^4 - 
      54*T1^7*T2^4 + 1050*T1^8*T2^4 - 182*T1^9*T2^4 - 160*T1^10*T2^4 + 
      433*T1^11*T2^4 + 1011*T1^12*T2^4 - 1846*T2^5 + 163*T1*T2^5 - 
      134*T1^2*T2^5 - 253*T1^3*T2^5 - 422*T1^4*T2^5 - 1408*T1^5*T2^5 - 
      433*T1^6*T2^5 - 1103*T1^7*T2^5 - 1018*T1^8*T2^5 - 16*T1^9*T2^5 - 
      285*T1^10*T2^5 + 58*T1^11*T2^5 - 1127*T1^12*T2^5 - 676*T1^13*T2^5 + 
      1359*T2^6 + 866*T1*T2^6 + 112*T1^2*T2^6 - 333*T1^3*T2^6 + 
      1526*T1^4*T2^6 - 433*T1^5*T2^6 + 3203*T1^6*T2^6 - 1341*T1^7*T2^6 + 
      3351*T1^8*T2^6 - 949*T1^9*T2^6 + 1016*T1^10*T2^6 - 181*T1^11*T2^6 + 
      708*T1^12*T2^6 + 1166*T1^13*T2^6 + 333*T1^14*T2^6 - 722*T2^7 - 
      1562*T1*T2^7 + 16*T1^2*T2^7 - 334*T1^3*T2^7 - 54*T1^4*T2^7 - 
      1103*T1^5*T2^7 - 1341*T1^6*T2^7 - 878*T1^7*T2^7 - 1278*T1^8*T2^7 - 
      1033*T1^9*T2^7 - 125*T1^10*T2^7 - 308*T1^11*T2^7 - 302*T1^12*T2^7 - 
      1048*T1^13*T2^7 - 812*T1^14*T2^7 - 92*T1^15*T2^7 + 219*T2^8 + 
      1370*T1*T2^8 + 788*T1^2*T2^8 - 418*T1^3*T2^8 + 1050*T1^4*T2^8 - 
      1018*T1^5*T2^8 + 3351*T1^6*T2^8 - 1278*T1^7*T2^8 + 3072*T1^8*T2^8 - 
      574*T1^9*T2^8 + 1671*T1^10*T2^8 - 634*T1^11*T2^8 + 646*T1^12*T2^8 + 
      438*T1^13*T2^8 + 1088*T1^14*T2^8 + 290*T1^15*T2^8 + 3*T1^16*T2^8 - 
      632*T1*T2^9 - 1292*T1^2*T2^9 + 168*T1^3*T2^9 - 182*T1^4*T2^9 - 
      16*T1^5*T2^9 - 949*T1^6*T2^9 - 1033*T1^7*T2^9 - 574*T1^8*T2^9 - 
      974*T1^9*T2^9 - 725*T1^10*T2^9 + 29*T1^11*T2^9 - 270*T1^12*T2^9 - 
      150*T1^13*T2^9 - 896*T1^14*T2^9 - 542*T1^15*T2^9 - 2*T1^16*T2^9 + 
      1017*T1^2*T2^10 + 446*T1^3*T2^10 - 160*T1^4*T2^10 - 285*T1^5*T2^10 + 
      1016*T1^6*T2^10 - 125*T1^7*T2^10 + 1671*T1^8*T2^10 - 725*T1^9*T2^10 + 
      1819*T1^10*T2^10 - 641*T1^11*T2^10 + 506*T1^12*T2^10 - 
      133*T1^13*T2^10 + 436*T1^14*T2^10 + 746*T1^15*T2^10 - 9*T1^16*T2^10 - 
      1144*T1^3*T2^11 + 433*T1^4*T2^11 + 58*T1^5*T2^11 - 181*T1^6*T2^11 - 
      308*T1^7*T2^11 - 634*T1^8*T2^11 + 29*T1^9*T2^11 - 641*T1^10*T2^11 - 
      244*T1^11*T2^11 + 98*T1^12*T2^11 - 213*T1^13*T2^11 + 250*T1^14*T2^11 - 
      857*T1^15*T2^11 + 26*T1^16*T2^11 + 1011*T1^4*T2^12 - 1127*T1^5*T2^12 + 
      708*T1^6*T2^12 - 302*T1^7*T2^12 + 646*T1^8*T2^12 - 270*T1^9*T2^12 + 
      506*T1^10*T2^12 + 98*T1^11*T2^12 - 82*T1^12*T2^12 + 426*T1^13*T2^12 - 
      704*T1^14*T2^12 + 793*T1^15*T2^12 - 33*T1^16*T2^12 - 676*T1^5*T2^13 + 
      1166*T1^6*T2^13 - 1048*T1^7*T2^13 + 438*T1^8*T2^13 - 150*T1^9*T2^13 - 
      133*T1^10*T2^13 - 213*T1^11*T2^13 + 426*T1^12*T2^13 - 838*T1^13*T2^13 + 
      928*T1^14*T2^13 - 604*T1^15*T2^13 + 26*T1^16*T2^13 + 333*T1^6*T2^14 - 
      812*T1^7*T2^14 + 1088*T1^8*T2^14 - 896*T1^9*T2^14 + 436*T1^10*T2^14 + 
      250*T1^11*T2^14 - 704*T1^12*T2^14 + 928*T1^13*T2^14 - 736*T1^14*T2^14 + 
      328*T1^15*T2^14 - 9*T1^16*T2^14 - 92*T1^7*T2^15 + 290*T1^8*T2^15 - 
      542*T1^9*T2^15 + 746*T1^10*T2^15 - 857*T1^11*T2^15 + 793*T1^12*T2^15 - 
      604*T1^13*T2^15 + 328*T1^14*T2^15 - 100*T1^15*T2^15 - 2*T1^16*T2^15 + 
      3*T1^8*T2^16 - 2*T1^9*T2^16 - 9*T1^10*T2^16 + 26*T1^11*T2^16 - 
      33*T1^12*T2^16 + 26*T1^13*T2^16 - 9*T1^14*T2^16 - 2*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 812] -> 
  {-((5 - 23*T + 45*T^2 - 55*T^3 + 45*T^4 - 23*T^5 + 5*T^6)/T^3), 
   -((-645 + 2955*T1 - 5760*T1^2 + 7037*T1^3 - 5760*T1^4 + 2955*T1^5 - 
      645*T1^6 + 2955*T2 - 11165*T1*T2 + 15514*T1^2*T2 - 11032*T1^3*T2 + 
      468*T1^4*T2 + 7694*T1^5*T2 - 7945*T1^6*T2 + 2380*T1^7*T2 - 5760*T2^2 + 
      15514*T1*T2^2 - 5050*T1^2*T2^2 - 18681*T1^3*T2^2 + 36676*T1^4*T2^2 - 
      33081*T1^5*T2^2 + 12950*T1^6*T2^2 + 5164*T1^7*T2^2 - 3510*T1^8*T2^2 + 
      7037*T2^3 - 11032*T1*T2^3 - 18681*T1^2*T2^3 + 43838*T1^3*T2^3 - 
      40020*T1^4*T2^3 + 7380*T1^5*T2^3 + 22958*T1^6*T2^3 - 26826*T1^7*T2^3 + 
      2768*T1^8*T2^3 + 2912*T1^9*T2^3 - 5760*T2^4 + 468*T1*T2^4 + 
      36676*T1^2*T2^4 - 40020*T1^3*T2^4 + 7891*T1^4*T2^4 + 31349*T1^5*T2^4 - 
      37069*T1^6*T2^4 + 11680*T1^7*T2^4 + 18986*T1^8*T2^4 - 7582*T1^9*T2^4 - 
      1260*T1^10*T2^4 + 2955*T2^5 + 7694*T1*T2^5 - 33081*T1^2*T2^5 + 
      7380*T1^3*T2^5 + 31349*T1^4*T2^5 - 42169*T1^5*T2^5 + 10291*T1^6*T2^5 + 
      23474*T1^7*T2^5 - 31420*T1^8*T2^5 + 84*T1^9*T2^5 + 5394*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 7945*T1*T2^6 + 12950*T1^2*T2^6 + 
      22958*T1^3*T2^6 - 37069*T1^4*T2^6 + 10291*T1^5*T2^6 + 30840*T1^6*T2^6 - 
      38119*T1^7*T2^6 + 15301*T1^8*T2^6 + 16778*T1^9*T2^6 - 8718*T1^10*T2^6 - 
      815*T1^11*T2^6 + 105*T1^12*T2^6 + 2380*T1*T2^7 + 5164*T1^2*T2^7 - 
      26826*T1^3*T2^7 + 11680*T1^4*T2^7 + 23474*T1^5*T2^7 - 38119*T1^6*T2^7 + 
      14341*T1^7*T2^7 + 15599*T1^8*T2^7 - 27120*T1^9*T2^7 + 6339*T1^10*T2^7 + 
      2864*T1^11*T2^7 - 495*T1^12*T2^7 - 3510*T1^2*T2^8 + 2768*T1^3*T2^8 + 
      18986*T1^4*T2^8 - 31420*T1^5*T2^8 + 15301*T1^6*T2^8 + 15599*T1^7*T2^8 - 
      29659*T1^8*T2^8 + 20280*T1^9*T2^8 + 1296*T1^10*T2^8 - 5282*T1^11*T2^8 + 
      990*T1^12*T2^8 + 2912*T1^3*T2^9 - 7582*T1^4*T2^9 + 84*T1^5*T2^9 + 
      16778*T1^6*T2^9 - 27120*T1^7*T2^9 + 20280*T1^8*T2^9 - 4102*T1^9*T2^9 - 
      8061*T1^10*T2^9 + 6218*T1^11*T2^9 - 1213*T1^12*T2^9 - 1260*T1^4*T2^10 + 
      5394*T1^5*T2^10 - 8718*T1^6*T2^10 + 6339*T1^7*T2^10 + 1296*T1^8*T2^10 - 
      8061*T1^9*T2^10 + 9282*T1^10*T2^10 - 4956*T1^11*T2^10 + 
      990*T1^12*T2^10 + 80*T1^5*T2^11 - 815*T1^6*T2^11 + 2864*T1^7*T2^11 - 
      5282*T1^8*T2^11 + 6218*T1^9*T2^11 - 4956*T1^10*T2^11 + 
      2405*T1^11*T2^11 - 495*T1^12*T2^11 + 105*T1^6*T2^12 - 495*T1^7*T2^12 + 
      990*T1^8*T2^12 - 1213*T1^9*T2^12 + 990*T1^10*T2^12 - 495*T1^11*T2^12 + 
      105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 813] -> 
  {((1 - T + T^2 - T^3 + T^4)*(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4))/T^4, 
   -((219 - 651*T1 + 1150*T1^2 - 1576*T1^3 + 1791*T1^4 - 1576*T1^5 + 
      1150*T1^6 - 651*T1^7 + 219*T1^8 - 651*T2 + 1373*T1*T2 - 1743*T1^2*T2 + 
      1715*T1^3*T2 - 1239*T1^4*T2 + 30*T1^5*T2 + 689*T1^6*T2 - 1068*T1^7*T2 + 
      1049*T1^8*T2 - 570*T1^9*T2 + 1150*T2^2 - 1743*T1*T2^2 + 
      1841*T1^2*T2^2 - 1808*T1^3*T2^2 + 1487*T1^4*T2^2 - 329*T1^5*T2^2 + 
      623*T1^6*T2^2 - 560*T1^7*T2^2 + 593*T1^8*T2^2 - 879*T1^9*T2^2 + 
      862*T1^10*T2^2 - 1576*T2^3 + 1715*T1*T2^3 - 1808*T1^2*T2^3 + 
      1976*T1^3*T2^3 - 1602*T1^4*T2^3 + 55*T1^5*T2^3 - 701*T1^6*T2^3 - 
      342*T1^7*T2^3 + 626*T1^8*T2^3 - 368*T1^9*T2^3 + 365*T1^10*T2^3 - 
      982*T1^11*T2^3 + 1791*T2^4 - 1239*T1*T2^4 + 1487*T1^2*T2^4 - 
      1602*T1^3*T2^4 + 939*T1^4*T2^4 + 768*T1^5*T2^4 + 495*T1^6*T2^4 + 
      1104*T1^7*T2^4 - 513*T1^8*T2^4 - 150*T1^9*T2^4 + 251*T1^10*T2^4 + 
      273*T1^11*T2^4 + 891*T1^12*T2^4 - 1576*T2^5 + 30*T1*T2^5 - 
      329*T1^2*T2^5 + 55*T1^3*T2^5 + 768*T1^4*T2^5 - 1879*T1^5*T2^5 - 
      385*T1^6*T2^5 - 1241*T1^7*T2^5 - 555*T1^8*T2^5 + 943*T1^9*T2^5 - 
      629*T1^10*T2^5 - 68*T1^11*T2^5 - 915*T1^12*T2^5 - 586*T1^13*T2^5 + 
      1150*T2^6 + 689*T1*T2^6 + 623*T1^2*T2^6 - 701*T1^3*T2^6 + 
      495*T1^4*T2^6 - 385*T1^5*T2^6 + 2629*T1^6*T2^6 - 127*T1^7*T2^6 + 
      1981*T1^8*T2^6 - 1073*T1^9*T2^6 + 319*T1^10*T2^6 + 163*T1^11*T2^6 + 
      743*T1^12*T2^6 + 905*T1^13*T2^6 + 286*T1^14*T2^6 - 651*T2^7 - 
      1068*T1*T2^7 - 560*T1^2*T2^7 - 342*T1^3*T2^7 + 1104*T1^4*T2^7 - 
      1241*T1^5*T2^7 - 127*T1^6*T2^7 - 2199*T1^7*T2^7 - 745*T1^8*T2^7 - 
      99*T1^9*T2^7 - 49*T1^10*T2^7 + 285*T1^11*T2^7 - 834*T1^12*T2^7 - 
      848*T1^13*T2^7 - 609*T1^14*T2^7 - 84*T1^15*T2^7 + 219*T2^8 + 
      1049*T1*T2^8 + 593*T1^2*T2^8 + 626*T1^3*T2^8 - 513*T1^4*T2^8 - 
      555*T1^5*T2^8 + 1981*T1^6*T2^8 - 745*T1^7*T2^8 + 3708*T1^8*T2^8 - 
      1815*T1^9*T2^8 + 1577*T1^10*T2^8 - 1177*T1^11*T2^8 + 707*T1^12*T2^8 + 
      746*T1^13*T2^8 + 743*T1^14*T2^8 + 239*T1^15*T2^8 + 3*T1^16*T2^8 - 
      570*T1*T2^9 - 879*T1^2*T2^9 - 368*T1^3*T2^9 - 150*T1^4*T2^9 + 
      943*T1^5*T2^9 - 1073*T1^6*T2^9 - 99*T1^7*T2^9 - 1815*T1^8*T2^9 - 
      361*T1^9*T2^9 - 71*T1^10*T2^9 + 119*T1^11*T2^9 + 124*T1^12*T2^9 - 
      642*T1^13*T2^9 - 656*T1^14*T2^9 - 420*T1^15*T2^9 - 3*T1^16*T2^9 + 
      862*T1^2*T2^10 + 365*T1^3*T2^10 + 251*T1^4*T2^10 - 629*T1^5*T2^10 + 
      319*T1^6*T2^10 - 49*T1^7*T2^10 + 1577*T1^8*T2^10 - 71*T1^9*T2^10 + 
      929*T1^10*T2^10 - 737*T1^11*T2^10 + 143*T1^12*T2^10 + 235*T1^13*T2^10 + 
      371*T1^14*T2^10 + 581*T1^15*T2^10 - 2*T1^16*T2^10 - 982*T1^3*T2^11 + 
      273*T1^4*T2^11 - 68*T1^5*T2^11 + 163*T1^6*T2^11 + 285*T1^7*T2^11 - 
      1177*T1^8*T2^11 + 119*T1^9*T2^11 - 737*T1^10*T2^11 + 147*T1^11*T2^11 + 
      460*T1^12*T2^11 - 521*T1^13*T2^11 + 193*T1^14*T2^11 - 672*T1^15*T2^11 + 
      8*T1^16*T2^11 + 891*T1^4*T2^12 - 915*T1^5*T2^12 + 743*T1^6*T2^12 - 
      834*T1^7*T2^12 + 707*T1^8*T2^12 + 124*T1^9*T2^12 + 143*T1^10*T2^12 + 
      460*T1^11*T2^12 - 745*T1^12*T2^12 + 618*T1^13*T2^12 - 493*T1^14*T2^12 + 
      597*T1^15*T2^12 - 9*T1^16*T2^12 - 586*T1^5*T2^13 + 905*T1^6*T2^13 - 
      848*T1^7*T2^13 + 746*T1^8*T2^13 - 642*T1^9*T2^13 + 235*T1^10*T2^13 - 
      521*T1^11*T2^13 + 618*T1^12*T2^13 - 604*T1^13*T2^13 + 592*T1^14*T2^13 - 
      445*T1^15*T2^13 + 8*T1^16*T2^13 + 286*T1^6*T2^14 - 609*T1^7*T2^14 + 
      743*T1^8*T2^14 - 656*T1^9*T2^14 + 371*T1^10*T2^14 + 193*T1^11*T2^14 - 
      493*T1^12*T2^14 + 592*T1^13*T2^14 - 505*T1^14*T2^14 + 255*T1^15*T2^14 - 
      2*T1^16*T2^14 - 84*T1^7*T2^15 + 239*T1^8*T2^15 - 420*T1^9*T2^15 + 
      581*T1^10*T2^15 - 672*T1^11*T2^15 + 597*T1^12*T2^15 - 445*T1^13*T2^15 + 
      255*T1^14*T2^15 - 85*T1^15*T2^15 - 3*T1^16*T2^15 + 3*T1^8*T2^16 - 
      3*T1^9*T2^16 - 2*T1^10*T2^16 + 8*T1^11*T2^16 - 9*T1^12*T2^16 + 
      8*T1^13*T2^16 - 2*T1^14*T2^16 - 3*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 814] -> 
  {(6 - 20*T + 34*T^2 - 39*T^3 + 34*T^4 - 20*T^5 + 6*T^6)/T^3, 
   -((1347 - 4441*T1 + 7495*T1^2 - 8565*T1^3 + 7495*T1^4 - 4441*T1^5 + 
      1347*T1^6 - 4441*T2 + 10976*T1*T2 - 12586*T1^2*T2 + 7678*T1^3*T2 - 
      1082*T1^4*T2 - 6106*T1^5*T2 + 7856*T1^6*T2 - 3721*T1^7*T2 + 7495*T2^2 - 
      12586*T1*T2^2 + 6284*T1^2*T2^2 + 4707*T1^3*T2^2 - 9572*T1^4*T2^2 + 
      12459*T1^5*T2^2 - 5140*T1^6*T2^2 - 4426*T1^7*T2^2 + 5047*T1^8*T2^2 - 
      8565*T2^3 + 7678*T1*T2^3 + 4707*T1^2*T2^3 - 12164*T1^3*T2^3 + 
      7195*T1^4*T2^3 - 4537*T1^5*T2^3 - 7034*T1^6*T2^3 + 10895*T1^7*T2^3 - 
      2282*T1^8*T2^3 - 4353*T1^9*T2^3 + 7495*T2^4 - 1082*T1*T2^4 - 
      9572*T1^2*T2^4 + 7195*T1^3*T2^4 + 3861*T1^4*T2^4 - 3777*T1^5*T2^4 + 
      10653*T1^6*T2^4 - 4661*T1^7*T2^4 - 6116*T1^8*T2^4 + 5878*T1^9*T2^4 + 
      2599*T1^10*T2^4 - 4441*T2^5 - 6106*T1*T2^5 + 12459*T1^2*T2^5 - 
      4537*T1^3*T2^5 - 3777*T1^4*T2^5 - 1246*T1^5*T2^5 - 3484*T1^6*T2^5 - 
      3573*T1^7*T2^5 + 6947*T1^8*T2^5 + 15*T1^9*T2^5 - 5866*T1^10*T2^5 - 
      841*T1^11*T2^5 + 1347*T2^6 + 7856*T1*T2^6 - 5140*T1^2*T2^6 - 
      7034*T1^3*T2^6 + 10653*T1^4*T2^6 - 3484*T1^5*T2^6 + 6840*T1^6*T2^6 - 
      36*T1^7*T2^6 + 973*T1^8*T2^6 - 6770*T1^9*T2^6 + 5644*T1^10*T2^6 + 
      2576*T1^11*T2^6 + 51*T1^12*T2^6 - 3721*T1*T2^7 - 4426*T1^2*T2^7 + 
      10895*T1^3*T2^7 - 4661*T1^4*T2^7 - 3573*T1^5*T2^7 - 36*T1^6*T2^7 - 
      2274*T1^7*T2^7 - 3369*T1^8*T2^7 + 6823*T1^9*T2^7 - 1549*T1^10*T2^7 - 
      4186*T1^11*T2^7 - 121*T1^12*T2^7 + 5047*T1^2*T2^8 - 2282*T1^3*T2^8 - 
      6116*T1^4*T2^8 + 6947*T1^5*T2^8 + 973*T1^6*T2^8 - 3369*T1^7*T2^8 + 
      7765*T1^8*T2^8 - 4909*T1^9*T2^8 - 2660*T1^10*T2^8 + 4678*T1^11*T2^8 + 
      151*T1^12*T2^8 - 4353*T1^3*T2^9 + 5878*T1^4*T2^9 + 15*T1^5*T2^9 - 
      6770*T1^6*T2^9 + 6823*T1^7*T2^9 - 4909*T1^8*T2^9 - 1640*T1^9*T2^9 + 
      6203*T1^10*T2^9 - 4082*T1^11*T2^9 - 141*T1^12*T2^9 + 2599*T1^4*T2^10 - 
      5866*T1^5*T2^10 + 5644*T1^6*T2^10 - 1549*T1^7*T2^10 - 2660*T1^8*T2^10 + 
      6203*T1^9*T2^10 - 5780*T1^10*T2^10 + 2294*T1^11*T2^10 + 
      151*T1^12*T2^10 - 841*T1^5*T2^11 + 2576*T1^6*T2^11 - 4186*T1^7*T2^11 + 
      4678*T1^8*T2^11 - 4082*T1^9*T2^11 + 2294*T1^10*T2^11 - 
      544*T1^11*T2^11 - 121*T1^12*T2^11 + 51*T1^6*T2^12 - 121*T1^7*T2^12 + 
      151*T1^8*T2^12 - 141*T1^9*T2^12 + 151*T1^10*T2^12 - 121*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 815] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + 
      T^6))/T^5, (-4 + 12*T1 - 28*T1^2 + 48*T1^3 - 64*T1^4 + 68*T1^5 - 
     64*T1^6 + 48*T1^7 - 28*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 
     57*T1^2*T2 - 81*T1^3*T2 + 84*T1^4*T2 - 60*T1^5*T2 + 39*T1^6*T2 - 
     24*T1^8*T2 + 27*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 28*T2^2 + 
     57*T1*T2^2 - 129*T1^2*T2^2 + 189*T1^3*T2^2 - 223*T1^4*T2^2 + 
     218*T1^5*T2^2 - 223*T1^6*T2^2 + 148*T1^7*T2^2 - 97*T1^8*T2^2 + 
     63*T1^9*T2^2 - 45*T1^10*T2^2 + 15*T1^11*T2^2 - 14*T1^12*T2^2 + 48*T2^3 - 
     81*T1*T2^3 + 189*T1^2*T2^3 - 249*T1^3*T2^3 + 273*T1^4*T2^3 - 
     243*T1^5*T2^3 + 237*T1^6*T2^3 - 78*T1^7*T2^3 + 33*T1^8*T2^3 - 
     12*T1^9*T2^3 + 9*T1^10*T2^3 + 21*T1^11*T2^3 + 6*T1^12*T2^3 + 
     12*T1^13*T2^3 - 64*T2^4 + 84*T1*T2^4 - 223*T1^2*T2^4 + 273*T1^3*T2^4 - 
     321*T1^4*T2^4 + 328*T1^5*T2^4 - 363*T1^6*T2^4 + 143*T1^7*T2^4 - 
     147*T1^8*T2^4 + 80*T1^9*T2^4 - 9*T1^10*T2^4 - 63*T1^11*T2^4 + 
     9*T1^12*T2^4 - 36*T1^13*T2^4 + 68*T2^5 - 60*T1*T2^5 + 218*T1^2*T2^5 - 
     243*T1^3*T2^5 + 328*T1^4*T2^5 - 373*T1^5*T2^5 + 413*T1^6*T2^5 - 
     132*T1^7*T2^5 + 223*T1^8*T2^5 - 98*T1^9*T2^5 + 17*T1^10*T2^5 + 
     105*T1^12*T2^5 - 29*T1^13*T2^5 + 51*T1^14*T2^5 - 17*T1^15*T2^5 - 
     64*T2^6 + 39*T1*T2^6 - 223*T1^2*T2^6 + 237*T1^3*T2^6 - 363*T1^4*T2^6 + 
     413*T1^5*T2^6 - 397*T1^6*T2^6 + 60*T1^7*T2^6 - 189*T1^8*T2^6 - 
     88*T1^9*T2^6 + 203*T1^10*T2^6 - 175*T1^11*T2^6 + 69*T1^12*T2^6 - 
     159*T1^13*T2^6 + 61*T1^14*T2^6 - 45*T1^15*T2^6 + 32*T1^16*T2^6 + 
     48*T2^7 + 148*T1^2*T2^7 - 78*T1^3*T2^7 + 143*T1^4*T2^7 - 132*T1^5*T2^7 + 
     60*T1^6*T2^7 + 179*T1^7*T2^7 + 96*T1^8*T2^7 + 156*T1^9*T2^7 - 
     97*T1^10*T2^7 - 99*T1^11*T2^7 + 177*T1^12*T2^7 - 52*T1^13*T2^7 + 
     129*T1^14*T2^7 - 77*T1^15*T2^7 + 12*T1^16*T2^7 - 36*T1^17*T2^7 - 
     28*T2^8 - 24*T1*T2^8 - 97*T1^2*T2^8 + 33*T1^3*T2^8 - 147*T1^4*T2^8 + 
     223*T1^5*T2^8 - 189*T1^6*T2^8 + 96*T1^7*T2^8 - 313*T1^8*T2^8 - 
     89*T1^9*T2^8 + 71*T1^10*T2^8 + 64*T1^11*T2^8 + 83*T1^12*T2^8 - 
     201*T1^13*T2^8 + 69*T1^14*T2^8 - 63*T1^15*T2^8 + 95*T1^16*T2^8 + 
     24*T1^17*T2^8 + 28*T1^18*T2^8 + 12*T2^9 + 27*T1*T2^9 + 63*T1^2*T2^9 - 
     12*T1^3*T2^9 + 80*T1^4*T2^9 - 98*T1^5*T2^9 - 88*T1^6*T2^9 + 
     156*T1^7*T2^9 - 89*T1^8*T2^9 + 388*T1^9*T2^9 - 146*T1^10*T2^9 - 
     139*T1^11*T2^9 - 88*T1^12*T2^9 + 27*T1^13*T2^9 + 105*T1^14*T2^9 - 
     72*T1^15*T2^9 - 33*T1^16*T2^9 - 105*T1^17*T2^9 - 39*T1^18*T2^9 - 
     15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 - 45*T1^2*T2^10 + 9*T1^3*T2^10 - 
     9*T1^4*T2^10 + 17*T1^5*T2^10 + 203*T1^6*T2^10 - 97*T1^7*T2^10 + 
     71*T1^8*T2^10 - 146*T1^9*T2^10 - 96*T1^10*T2^10 + 234*T1^11*T2^10 + 
     231*T1^12*T2^10 - 31*T1^13*T2^10 + 3*T1^14*T2^10 - 33*T1^15*T2^10 + 
     129*T1^16*T2^10 + 87*T1^17*T2^10 + 103*T1^18*T2^10 + 27*T1^19*T2^10 + 
     6*T1^20*T2^10 + 9*T1*T2^11 + 15*T1^2*T2^11 + 21*T1^3*T2^11 - 
     63*T1^4*T2^11 - 175*T1^6*T2^11 - 99*T1^7*T2^11 + 64*T1^8*T2^11 - 
     139*T1^9*T2^11 + 234*T1^10*T2^11 - 300*T1^11*T2^11 - 189*T1^12*T2^11 - 
     180*T1^13*T2^11 + 16*T1^14*T2^11 + 28*T1^15*T2^11 - 152*T1^16*T2^11 - 
     84*T1^17*T2^11 - 147*T1^18*T2^11 - 51*T1^19*T2^11 - 18*T1^20*T2^11 - 
     14*T1^2*T2^12 + 6*T1^3*T2^12 + 9*T1^4*T2^12 + 105*T1^5*T2^12 + 
     69*T1^6*T2^12 + 177*T1^7*T2^12 + 83*T1^8*T2^12 - 88*T1^9*T2^12 + 
     231*T1^10*T2^12 - 189*T1^11*T2^12 + 615*T1^12*T2^12 - 120*T1^13*T2^12 + 
     355*T1^14*T2^12 - 247*T1^15*T2^12 + 285*T1^16*T2^12 + 9*T1^17*T2^12 + 
     201*T1^18*T2^12 + 54*T1^19*T2^12 + 42*T1^20*T2^12 + 12*T1^3*T2^13 - 
     36*T1^4*T2^13 - 29*T1^5*T2^13 - 159*T1^6*T2^13 - 52*T1^7*T2^13 - 
     201*T1^8*T2^13 + 27*T1^9*T2^13 - 31*T1^10*T2^13 - 180*T1^11*T2^13 - 
     120*T1^12*T2^13 - 307*T1^13*T2^13 - 132*T1^14*T2^13 + 108*T1^15*T2^13 - 
     247*T1^16*T2^13 + 48*T1^17*T2^13 - 254*T1^18*T2^13 - 24*T1^19*T2^13 - 
     72*T1^20*T2^13 + 51*T1^5*T2^14 + 61*T1^6*T2^14 + 129*T1^7*T2^14 + 
     69*T1^8*T2^14 + 105*T1^9*T2^14 + 3*T1^10*T2^14 + 16*T1^11*T2^14 + 
     355*T1^12*T2^14 - 132*T1^13*T2^14 + 603*T1^14*T2^14 - 483*T1^15*T2^14 + 
     501*T1^16*T2^14 - 267*T1^17*T2^14 + 345*T1^18*T2^14 - 33*T1^19*T2^14 + 
     96*T1^20*T2^14 - 17*T1^5*T2^15 - 45*T1^6*T2^15 - 77*T1^7*T2^15 - 
     63*T1^8*T2^15 - 72*T1^9*T2^15 - 33*T1^10*T2^15 + 28*T1^11*T2^15 - 
     247*T1^12*T2^15 + 108*T1^13*T2^15 - 483*T1^14*T2^15 + 357*T1^15*T2^15 - 
     400*T1^16*T2^15 + 285*T1^17*T2^15 - 324*T1^18*T2^15 + 66*T1^19*T2^15 - 
     102*T1^20*T2^15 + 32*T1^6*T2^16 + 12*T1^7*T2^16 + 95*T1^8*T2^16 - 
     33*T1^9*T2^16 + 129*T1^10*T2^16 - 152*T1^11*T2^16 + 285*T1^12*T2^16 - 
     247*T1^13*T2^16 + 501*T1^14*T2^16 - 400*T1^15*T2^16 + 441*T1^16*T2^16 - 
     369*T1^17*T2^16 + 327*T1^18*T2^16 - 108*T1^19*T2^16 + 96*T1^20*T2^16 - 
     36*T1^7*T2^17 + 24*T1^8*T2^17 - 105*T1^9*T2^17 + 87*T1^10*T2^17 - 
     84*T1^11*T2^17 + 9*T1^12*T2^17 + 48*T1^13*T2^17 - 267*T1^14*T2^17 + 
     285*T1^15*T2^17 - 369*T1^16*T2^17 + 345*T1^17*T2^17 - 273*T1^18*T2^17 + 
     111*T1^19*T2^17 - 72*T1^20*T2^17 + 28*T1^8*T2^18 - 39*T1^9*T2^18 + 
     103*T1^10*T2^18 - 147*T1^11*T2^18 + 201*T1^12*T2^18 - 254*T1^13*T2^18 + 
     345*T1^14*T2^18 - 324*T1^15*T2^18 + 327*T1^16*T2^18 - 273*T1^17*T2^18 + 
     187*T1^18*T2^18 - 81*T1^19*T2^18 + 42*T1^20*T2^18 - 15*T1^9*T2^19 + 
     27*T1^10*T2^19 - 51*T1^11*T2^19 + 54*T1^12*T2^19 - 24*T1^13*T2^19 - 
     33*T1^14*T2^19 + 66*T1^15*T2^19 - 108*T1^16*T2^19 + 111*T1^17*T2^19 - 
     81*T1^18*T2^19 + 39*T1^19*T2^19 - 18*T1^20*T2^19 + 6*T1^10*T2^20 - 
     18*T1^11*T2^20 + 42*T1^12*T2^20 - 72*T1^13*T2^20 + 96*T1^14*T2^20 - 
     102*T1^15*T2^20 + 96*T1^16*T2^20 - 72*T1^17*T2^20 + 42*T1^18*T2^20 - 
     18*T1^19*T2^20 + 6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 816] -> 
  {(2 - 7*T + 17*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 17*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-31 + 109*T1 - 265*T1^2 + 468*T1^3 - 577*T1^4 + 468*T1^5 - 
     265*T1^6 + 109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 646*T1^2*T2 - 
     951*T1^3*T2 + 803*T1^4*T2 - 135*T1^5*T2 - 293*T1^6*T2 + 310*T1^7*T2 - 
     176*T1^8*T2 + 81*T1^9*T2 - 265*T2^2 + 646*T1*T2^2 - 1390*T1^2*T2^2 + 
     2011*T1^3*T2^2 - 1708*T1^4*T2^2 + 608*T1^5*T2^2 - 348*T1^6*T2^2 + 
     447*T1^7*T2^2 - 370*T1^8*T2^2 + 170*T1^9*T2^2 - 129*T1^10*T2^2 + 
     468*T2^3 - 951*T1*T2^3 + 2011*T1^2*T2^3 - 2607*T1^3*T2^3 + 
     1679*T1^4*T2^3 - 56*T1^5*T2^3 + 431*T1^6*T2^3 - 648*T1^7*T2^3 + 
     297*T1^8*T2^3 + 22*T1^9*T2^3 + 71*T1^10*T2^3 + 108*T1^11*T2^3 - 
     577*T2^4 + 803*T1*T2^4 - 1708*T1^2*T2^4 + 1679*T1^3*T2^4 - 
     176*T1^4*T2^4 - 772*T1^5*T2^4 - 1192*T1^6*T2^4 + 820*T1^7*T2^4 + 
     524*T1^8*T2^4 - 901*T1^9*T2^4 + 384*T1^10*T2^4 - 429*T1^11*T2^4 + 
     15*T1^12*T2^4 + 468*T2^5 - 135*T1*T2^5 + 608*T1^2*T2^5 - 56*T1^3*T2^5 - 
     772*T1^4*T2^5 - 659*T1^5*T2^5 + 3738*T1^6*T2^5 - 1113*T1^7*T2^5 - 
     1277*T1^8*T2^5 + 752*T1^9*T2^5 + 325*T1^10*T2^5 - 73*T1^11*T2^5 + 
     411*T1^12*T2^5 - 132*T1^13*T2^5 - 265*T2^6 - 293*T1*T2^6 - 
     348*T1^2*T2^6 + 431*T1^3*T2^6 - 1192*T1^4*T2^6 + 3738*T1^5*T2^6 - 
     3958*T1^6*T2^6 - 2742*T1^7*T2^6 + 4942*T1^8*T2^6 - 1916*T1^9*T2^6 + 
     26*T1^10*T2^6 - 215*T1^11*T2^6 - 244*T1^12*T2^6 - 41*T1^13*T2^6 + 
     143*T1^14*T2^6 + 109*T2^7 + 310*T1*T2^7 + 447*T1^2*T2^7 - 
     648*T1^3*T2^7 + 820*T1^4*T2^7 - 1113*T1^5*T2^7 - 2742*T1^6*T2^7 + 
     9253*T1^7*T2^7 - 6605*T1^8*T2^7 - 518*T1^9*T2^7 + 2132*T1^10*T2^7 - 
     976*T1^11*T2^7 + 667*T1^12*T2^7 - 114*T1^13*T2^7 - 194*T1^14*T2^7 - 
     87*T1^15*T2^7 - 31*T2^8 - 176*T1*T2^8 - 370*T1^2*T2^8 + 297*T1^3*T2^8 + 
     524*T1^4*T2^8 - 1277*T1^5*T2^8 + 4942*T1^6*T2^8 - 6605*T1^7*T2^8 - 
     276*T1^8*T2^8 + 6993*T1^9*T2^8 - 4274*T1^10*T2^8 + 961*T1^11*T2^8 - 
     60*T1^12*T2^8 - 157*T1^13*T2^8 + 428*T1^14*T2^8 + 188*T1^15*T2^8 + 
     33*T1^16*T2^8 + 81*T1*T2^9 + 170*T1^2*T2^9 + 22*T1^3*T2^9 - 
     901*T1^4*T2^9 + 752*T1^5*T2^9 - 1916*T1^6*T2^9 - 518*T1^7*T2^9 + 
     6993*T1^8*T2^9 - 8865*T1^9*T2^9 + 1706*T1^10*T2^9 + 1329*T1^11*T2^9 - 
     1044*T1^12*T2^9 + 414*T1^13*T2^9 - 539*T1^14*T2^9 - 334*T1^15*T2^9 - 
     115*T1^16*T2^9 - 129*T1^2*T2^10 + 71*T1^3*T2^10 + 384*T1^4*T2^10 + 
     325*T1^5*T2^10 + 26*T1^6*T2^10 + 2132*T1^7*T2^10 - 4274*T1^8*T2^10 + 
     1706*T1^9*T2^10 + 4626*T1^10*T2^10 - 3522*T1^11*T2^10 + 
     1244*T1^12*T2^10 - 321*T1^13*T2^10 + 488*T1^14*T2^10 + 323*T1^15*T2^10 + 
     279*T1^16*T2^10 + 108*T1^3*T2^11 - 429*T1^4*T2^11 - 73*T1^5*T2^11 - 
     215*T1^6*T2^11 - 976*T1^7*T2^11 + 961*T1^8*T2^11 + 1329*T1^9*T2^11 - 
     3522*T1^10*T2^11 + 343*T1^11*T2^11 + 548*T1^12*T2^11 + 166*T1^13*T2^11 - 
     754*T1^14*T2^11 + 117*T1^15*T2^11 - 492*T1^16*T2^11 + 15*T1^4*T2^12 + 
     411*T1^5*T2^12 - 244*T1^6*T2^12 + 667*T1^7*T2^12 - 60*T1^8*T2^12 - 
     1044*T1^9*T2^12 + 1244*T1^10*T2^12 + 548*T1^11*T2^12 + 640*T1^12*T2^12 - 
     1913*T1^13*T2^12 + 1848*T1^14*T2^12 - 821*T1^15*T2^12 + 
     607*T1^16*T2^12 - 132*T1^5*T2^13 - 41*T1^6*T2^13 - 114*T1^7*T2^13 - 
     157*T1^8*T2^13 + 414*T1^9*T2^13 - 321*T1^10*T2^13 + 166*T1^11*T2^13 - 
     1913*T1^12*T2^13 + 2747*T1^13*T2^13 - 2103*T1^14*T2^13 + 
     981*T1^15*T2^13 - 492*T1^16*T2^13 + 143*T1^6*T2^14 - 194*T1^7*T2^14 + 
     428*T1^8*T2^14 - 539*T1^9*T2^14 + 488*T1^10*T2^14 - 754*T1^11*T2^14 + 
     1848*T1^12*T2^14 - 2103*T1^13*T2^14 + 1448*T1^14*T2^14 - 
     670*T1^15*T2^14 + 279*T1^16*T2^14 - 87*T1^7*T2^15 + 188*T1^8*T2^15 - 
     334*T1^9*T2^15 + 323*T1^10*T2^15 + 117*T1^11*T2^15 - 821*T1^12*T2^15 + 
     981*T1^13*T2^15 - 670*T1^14*T2^15 + 314*T1^15*T2^15 - 115*T1^16*T2^15 + 
     33*T1^8*T2^16 - 115*T1^9*T2^16 + 279*T1^10*T2^16 - 492*T1^11*T2^16 + 
     607*T1^12*T2^16 - 492*T1^13*T2^16 + 279*T1^14*T2^16 - 115*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 817] -> 
  {((1 - T + T^2 - T^3 + T^4)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^4, 
   -((219 - 722*T1 + 1359*T1^2 - 1846*T1^3 + 2055*T1^4 - 1846*T1^5 + 
      1359*T1^6 - 722*T1^7 + 219*T1^8 - 722*T2 + 1760*T1*T2 - 2432*T1^2*T2 + 
      2216*T1^3*T2 - 1487*T1^4*T2 + 163*T1^5*T2 + 866*T1^6*T2 - 
      1562*T1^7*T2 + 1370*T1^8*T2 - 632*T1^9*T2 + 1359*T2^2 - 2432*T1*T2^2 + 
      2612*T1^2*T2^2 - 1808*T1^3*T2^2 + 1251*T1^4*T2^2 - 132*T1^5*T2^2 + 
      111*T1^6*T2^2 + 16*T1^7*T2^2 + 788*T1^8*T2^2 - 1292*T1^9*T2^2 + 
      1017*T1^10*T2^2 - 1846*T2^3 + 2216*T1*T2^3 - 1808*T1^2*T2^3 + 
      860*T1^3*T2^3 - 912*T1^4*T2^3 - 253*T1^5*T2^3 - 333*T1^6*T2^3 - 
      336*T1^7*T2^3 - 416*T1^8*T2^3 + 168*T1^9*T2^3 + 446*T1^10*T2^3 - 
      1144*T1^11*T2^3 + 2055*T2^4 - 1487*T1*T2^4 + 1251*T1^2*T2^4 - 
      912*T1^3*T2^4 + 1780*T1^4*T2^4 - 422*T1^5*T2^4 + 1528*T1^6*T2^4 - 
      54*T1^7*T2^4 + 1052*T1^8*T2^4 - 184*T1^9*T2^4 - 161*T1^10*T2^4 + 
      433*T1^11*T2^4 + 1011*T1^12*T2^4 - 1846*T2^5 + 163*T1*T2^5 - 
      132*T1^2*T2^5 - 253*T1^3*T2^5 - 422*T1^4*T2^5 - 1408*T1^5*T2^5 - 
      435*T1^6*T2^5 - 1105*T1^7*T2^5 - 1018*T1^8*T2^5 - 16*T1^9*T2^5 - 
      285*T1^10*T2^5 + 60*T1^11*T2^5 - 1127*T1^12*T2^5 - 676*T1^13*T2^5 + 
      1359*T2^6 + 866*T1*T2^6 + 111*T1^2*T2^6 - 333*T1^3*T2^6 + 
      1528*T1^4*T2^6 - 435*T1^5*T2^6 + 3203*T1^6*T2^6 - 1339*T1^7*T2^6 + 
      3351*T1^8*T2^6 - 951*T1^9*T2^6 + 1018*T1^10*T2^6 - 181*T1^11*T2^6 + 
      707*T1^12*T2^6 + 1166*T1^13*T2^6 + 333*T1^14*T2^6 - 722*T2^7 - 
      1562*T1*T2^7 + 16*T1^2*T2^7 - 336*T1^3*T2^7 - 54*T1^4*T2^7 - 
      1105*T1^5*T2^7 - 1339*T1^6*T2^7 - 876*T1^7*T2^7 - 1276*T1^8*T2^7 - 
      1031*T1^9*T2^7 - 127*T1^10*T2^7 - 308*T1^11*T2^7 - 304*T1^12*T2^7 - 
      1048*T1^13*T2^7 - 812*T1^14*T2^7 - 92*T1^15*T2^7 + 219*T2^8 + 
      1370*T1*T2^8 + 788*T1^2*T2^8 - 416*T1^3*T2^8 + 1052*T1^4*T2^8 - 
      1018*T1^5*T2^8 + 3351*T1^6*T2^8 - 1276*T1^7*T2^8 + 3060*T1^8*T2^8 - 
      572*T1^9*T2^8 + 1671*T1^10*T2^8 - 634*T1^11*T2^8 + 648*T1^12*T2^8 + 
      440*T1^13*T2^8 + 1088*T1^14*T2^8 + 290*T1^15*T2^8 + 3*T1^16*T2^8 - 
      632*T1*T2^9 - 1292*T1^2*T2^9 + 168*T1^3*T2^9 - 184*T1^4*T2^9 - 
      16*T1^5*T2^9 - 951*T1^6*T2^9 - 1031*T1^7*T2^9 - 572*T1^8*T2^9 - 
      972*T1^9*T2^9 - 723*T1^10*T2^9 + 27*T1^11*T2^9 - 270*T1^12*T2^9 - 
      152*T1^13*T2^9 - 896*T1^14*T2^9 - 542*T1^15*T2^9 - 2*T1^16*T2^9 + 
      1017*T1^2*T2^10 + 446*T1^3*T2^10 - 161*T1^4*T2^10 - 285*T1^5*T2^10 + 
      1018*T1^6*T2^10 - 127*T1^7*T2^10 + 1671*T1^8*T2^10 - 723*T1^9*T2^10 + 
      1819*T1^10*T2^10 - 643*T1^11*T2^10 + 508*T1^12*T2^10 - 
      133*T1^13*T2^10 + 435*T1^14*T2^10 + 746*T1^15*T2^10 - 9*T1^16*T2^10 - 
      1144*T1^3*T2^11 + 433*T1^4*T2^11 + 60*T1^5*T2^11 - 181*T1^6*T2^11 - 
      308*T1^7*T2^11 - 634*T1^8*T2^11 + 27*T1^9*T2^11 - 643*T1^10*T2^11 - 
      244*T1^11*T2^11 + 98*T1^12*T2^11 - 213*T1^13*T2^11 + 252*T1^14*T2^11 - 
      857*T1^15*T2^11 + 26*T1^16*T2^11 + 1011*T1^4*T2^12 - 1127*T1^5*T2^12 + 
      707*T1^6*T2^12 - 304*T1^7*T2^12 + 648*T1^8*T2^12 - 270*T1^9*T2^12 + 
      508*T1^10*T2^12 + 98*T1^11*T2^12 - 80*T1^12*T2^12 + 424*T1^13*T2^12 - 
      705*T1^14*T2^12 + 793*T1^15*T2^12 - 33*T1^16*T2^12 - 676*T1^5*T2^13 + 
      1166*T1^6*T2^13 - 1048*T1^7*T2^13 + 440*T1^8*T2^13 - 152*T1^9*T2^13 - 
      133*T1^10*T2^13 - 213*T1^11*T2^13 + 424*T1^12*T2^13 - 836*T1^13*T2^13 + 
      928*T1^14*T2^13 - 604*T1^15*T2^13 + 26*T1^16*T2^13 + 333*T1^6*T2^14 - 
      812*T1^7*T2^14 + 1088*T1^8*T2^14 - 896*T1^9*T2^14 + 435*T1^10*T2^14 + 
      252*T1^11*T2^14 - 705*T1^12*T2^14 + 928*T1^13*T2^14 - 736*T1^14*T2^14 + 
      328*T1^15*T2^14 - 9*T1^16*T2^14 - 92*T1^7*T2^15 + 290*T1^8*T2^15 - 
      542*T1^9*T2^15 + 746*T1^10*T2^15 - 857*T1^11*T2^15 + 793*T1^12*T2^15 - 
      604*T1^13*T2^15 + 328*T1^14*T2^15 - 100*T1^15*T2^15 - 2*T1^16*T2^15 + 
      3*T1^8*T2^16 - 2*T1^9*T2^16 - 9*T1^10*T2^16 + 26*T1^11*T2^16 - 
      33*T1^12*T2^16 + 26*T1^13*T2^16 - 9*T1^14*T2^16 - 2*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 818] -> 
  {-((1 - 7*T + 23*T^2 - 42*T^3 + 49*T^4 - 42*T^5 + 23*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 115*T1^2 + 210*T1^3 - 245*T1^4 + 210*T1^5 - 
      115*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 609*T1^2*T2 - 
      826*T1^3*T2 + 539*T1^4*T2 - 98*T1^5*T2 - 371*T1^6*T2 + 399*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 115*T2^2 + 609*T1*T2^2 - 1340*T1^2*T2^2 + 
      802*T1^3*T2^2 + 1018*T1^4*T2^2 - 1898*T1^5*T2^2 + 2214*T1^6*T2^2 - 
      808*T1^7*T2^2 - 328*T1^8*T2^2 + 287*T1^9*T2^2 - 69*T1^10*T2^2 + 
      210*T2^3 - 826*T1*T2^3 + 802*T1^2*T2^3 + 2671*T1^3*T2^3 - 
      6229*T1^4*T2^3 + 4443*T1^5*T2^3 - 2018*T1^6*T2^3 - 2820*T1^7*T2^3 + 
      3259*T1^8*T2^3 - 808*T1^9*T2^3 - 105*T1^10*T2^3 + 84*T1^11*T2^3 - 
      245*T2^4 + 539*T1*T2^4 + 1018*T1^2*T2^4 - 6229*T1^3*T2^4 + 
      5253*T1^4*T2^4 + 5537*T1^5*T2^4 - 10283*T1^6*T2^4 + 13965*T1^7*T2^4 - 
      5919*T1^8*T2^4 - 1525*T1^9*T2^4 + 1410*T1^10*T2^4 - 245*T1^11*T2^4 - 
      49*T1^12*T2^4 + 210*T2^5 - 98*T1*T2^5 - 1898*T1^2*T2^5 + 
      4443*T1^3*T2^5 + 5537*T1^4*T2^5 - 20967*T1^5*T2^5 + 16861*T1^6*T2^5 - 
      10460*T1^7*T2^5 - 6771*T1^8*T2^5 + 10514*T1^9*T2^5 - 2676*T1^10*T2^5 - 
      491*T1^11*T2^5 + 343*T1^12*T2^5 - 115*T2^6 - 371*T1*T2^6 + 
      2214*T1^2*T2^6 - 2018*T1^3*T2^6 - 10283*T1^4*T2^6 + 16861*T1^5*T2^6 + 
      2741*T1^6*T2^6 - 13801*T1^7*T2^6 + 23221*T1^8*T2^6 - 11377*T1^9*T2^6 - 
      3325*T1^10*T2^6 + 3456*T1^11*T2^6 - 590*T1^12*T2^6 - 161*T1^13*T2^6 + 
      23*T1^14*T2^6 + 35*T2^7 + 399*T1*T2^7 - 808*T1^2*T2^7 - 
      2820*T1^3*T2^7 + 13965*T1^4*T2^7 - 10460*T1^5*T2^7 - 13801*T1^6*T2^7 + 
      15002*T1^7*T2^7 - 7664*T1^8*T2^7 - 8831*T1^9*T2^7 + 15027*T1^10*T2^7 - 
      4816*T1^11*T2^7 - 1049*T1^12*T2^7 + 802*T1^13*T2^7 - 63*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 328*T1^2*T2^8 + 3259*T1^3*T2^8 - 
      5919*T1^4*T2^8 - 6771*T1^5*T2^8 + 23221*T1^6*T2^8 - 7664*T1^7*T2^8 - 
      9864*T1^8*T2^8 + 16416*T1^9*T2^8 - 10855*T1^10*T2^8 - 3957*T1^11*T2^8 + 
      6097*T1^12*T2^8 - 1599*T1^13*T2^8 - 86*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 287*T1^2*T2^9 - 808*T1^3*T2^9 - 
      1525*T1^4*T2^9 + 10514*T1^5*T2^9 - 11377*T1^6*T2^9 - 8831*T1^7*T2^9 + 
      16416*T1^8*T2^9 - 6250*T1^9*T2^9 - 3861*T1^10*T2^9 + 14110*T1^11*T2^9 - 
      8267*T1^12*T2^9 + 246*T1^13*T2^9 + 802*T1^14*T2^9 - 175*T1^15*T2^9 - 
      21*T1^16*T2^9 - 69*T1^2*T2^10 - 105*T1^3*T2^10 + 1410*T1^4*T2^10 - 
      2676*T1^5*T2^10 - 3325*T1^6*T2^10 + 15027*T1^7*T2^10 - 
      10855*T1^8*T2^10 - 3861*T1^9*T2^10 + 9625*T1^10*T2^10 - 
      13211*T1^11*T2^10 + 3633*T1^12*T2^10 + 2798*T1^13*T2^10 - 
      1394*T1^14*T2^10 + 105*T1^15*T2^10 + 69*T1^16*T2^10 + 84*T1^3*T2^11 - 
      245*T1^4*T2^11 - 491*T1^5*T2^11 + 3456*T1^6*T2^11 - 4816*T1^7*T2^11 - 
      3957*T1^8*T2^11 + 14110*T1^9*T2^11 - 13211*T1^10*T2^11 + 
      10239*T1^11*T2^11 + 161*T1^12*T2^11 - 3663*T1^13*T2^11 + 
      916*T1^14*T2^11 + 196*T1^15*T2^11 - 126*T1^16*T2^11 - 49*T1^4*T2^12 + 
      343*T1^5*T2^12 - 590*T1^6*T2^12 - 1049*T1^7*T2^12 + 6097*T1^8*T2^12 - 
      8267*T1^9*T2^12 + 3633*T1^10*T2^12 + 161*T1^11*T2^12 - 
      5075*T1^12*T2^12 + 3655*T1^13*T2^12 - 198*T1^14*T2^12 - 
      441*T1^15*T2^12 + 147*T1^16*T2^12 - 161*T1^6*T2^13 + 802*T1^7*T2^13 - 
      1599*T1^8*T2^13 + 246*T1^9*T2^13 + 2798*T1^10*T2^13 - 
      3663*T1^11*T2^13 + 3655*T1^12*T2^13 - 1011*T1^13*T2^13 - 
      808*T1^14*T2^13 + 560*T1^15*T2^13 - 126*T1^16*T2^13 + 23*T1^6*T2^14 - 
      63*T1^7*T2^14 - 86*T1^8*T2^14 + 802*T1^9*T2^14 - 1394*T1^10*T2^14 + 
      916*T1^11*T2^14 - 198*T1^12*T2^14 - 808*T1^13*T2^14 + 926*T1^14*T2^14 - 
      385*T1^15*T2^14 + 69*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 
      175*T1^9*T2^15 + 105*T1^10*T2^15 + 196*T1^11*T2^15 - 441*T1^12*T2^15 + 
      560*T1^13*T2^15 - 385*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 
      3*T1^8*T2^16 - 21*T1^9*T2^16 + 69*T1^10*T2^16 - 126*T1^11*T2^16 + 
      147*T1^12*T2^16 - 126*T1^13*T2^16 + 69*T1^14*T2^16 - 21*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 819] -> 
  {-(((-1 + 2*T - 3*T^2 + 3*T^3 - 3*T^4 + T^5)*(-1 + 3*T - 3*T^2 + 3*T^3 - 
       2*T^4 + T^5))/T^5), -(((-1 + 2*T1 - 3*T1^2 + 3*T1^3 - 3*T1^4 + T1^5)*
      (-1 + 3*T1 - 3*T1^2 + 3*T1^3 - 2*T1^4 + T1^5)*(1 + T1*T2)*
      (-1 + 2*T2 - 3*T2^2 + 3*T2^3 - 3*T2^4 + T2^5)*(-1 + 3*T2 - 3*T2^2 + 
       3*T2^3 - 2*T2^4 + T2^5)*(5 - 20*T1*T2 + 41*T1^2*T2^2 - 62*T1^3*T2^3 + 
       70*T1^4*T2^4 - 62*T1^5*T2^5 + 41*T1^6*T2^6 - 20*T1^7*T2^7 + 
       5*T1^8*T2^8))/(T1^11*T2^10))}, Knot[12, Alternating, 820] -> 
  {-((2 - 10*T + 23*T^2 - 35*T^3 + 39*T^4 - 35*T^5 + 23*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-39 + 195*T1 - 449*T1^2 + 683*T1^3 - 761*T1^4 + 683*T1^5 - 
      449*T1^6 + 195*T1^7 - 39*T1^8 + 195*T2 - 820*T1*T2 + 1470*T1^2*T2 - 
      1630*T1^3*T2 + 1090*T1^4*T2 - 390*T1^5*T2 - 470*T1^6*T2 + 810*T1^7*T2 - 
      580*T1^8*T2 + 155*T1^9*T2 - 449*T2^2 + 1470*T1*T2^2 - 1549*T1^2*T2^2 + 
      213*T1^3*T2^2 + 1866*T1^4*T2^2 - 2755*T1^5*T2^2 + 3338*T1^6*T2^2 - 
      2087*T1^7*T2^2 + 383*T1^8*T2^2 + 550*T1^9*T2^2 - 265*T1^10*T2^2 + 
      683*T2^3 - 1630*T1*T2^3 + 213*T1^2*T2^3 + 2428*T1^3*T2^3 - 
      4254*T1^4*T2^3 + 2842*T1^5*T2^3 - 1998*T1^6*T2^3 - 1204*T1^7*T2^3 + 
      2608*T1^8*T2^3 - 1857*T1^9*T2^3 + 10*T1^10*T2^3 + 263*T1^11*T2^3 - 
      761*T2^4 + 1090*T1*T2^4 + 1866*T1^2*T2^4 - 4254*T1^3*T2^4 + 
      3930*T1^4*T2^4 - 20*T1^5*T2^4 - 458*T1^6*T2^4 + 3380*T1^7*T2^4 - 
      2026*T1^8*T2^4 - 474*T1^9*T2^4 + 2042*T1^10*T2^4 - 630*T1^11*T2^4 - 
      137*T1^12*T2^4 + 683*T2^5 - 390*T1*T2^5 - 2755*T1^2*T2^5 + 
      2842*T1^3*T2^5 - 20*T1^4*T2^5 - 3813*T1^5*T2^5 + 1177*T1^6*T2^5 - 
      2083*T1^7*T2^5 - 1503*T1^8*T2^5 + 3055*T1^9*T2^5 - 2158*T1^10*T2^5 - 
      715*T1^11*T2^5 + 770*T1^12*T2^5 - 17*T1^13*T2^5 - 449*T2^6 - 
      470*T1*T2^6 + 3338*T1^2*T2^6 - 1998*T1^3*T2^6 - 458*T1^4*T2^6 + 
      1177*T1^5*T2^6 + 3658*T1^6*T2^6 - 1836*T1^7*T2^6 + 3158*T1^8*T2^6 - 
      1533*T1^9*T2^6 - 1020*T1^10*T2^6 + 2602*T1^11*T2^6 - 726*T1^12*T2^6 - 
      430*T1^13*T2^6 + 103*T1^14*T2^6 + 195*T2^7 + 810*T1*T2^7 - 
      2087*T1^2*T2^7 - 1204*T1^3*T2^7 + 3380*T1^4*T2^7 - 2083*T1^5*T2^7 - 
      1836*T1^6*T2^7 - 1578*T1^7*T2^7 + 1212*T1^8*T2^7 - 1671*T1^9*T2^7 + 
      2277*T1^10*T2^7 - 995*T1^11*T2^7 - 1334*T1^12*T2^7 + 1363*T1^13*T2^7 - 
      90*T1^14*T2^7 - 85*T1^15*T2^7 - 39*T2^8 - 580*T1*T2^8 + 383*T1^2*T2^8 + 
      2608*T1^3*T2^8 - 2026*T1^4*T2^8 - 1503*T1^5*T2^8 + 3158*T1^6*T2^8 + 
      1212*T1^7*T2^8 - 924*T1^8*T2^8 - 208*T1^9*T2^8 - 64*T1^10*T2^8 - 
      1833*T1^11*T2^8 + 2390*T1^12*T2^8 - 972*T1^13*T2^8 - 649*T1^14*T2^8 + 
      300*T1^15*T2^8 + 25*T1^16*T2^8 + 155*T1*T2^9 + 550*T1^2*T2^9 - 
      1857*T1^3*T2^9 - 474*T1^4*T2^9 + 3055*T1^5*T2^9 - 1533*T1^6*T2^9 - 
      1671*T1^7*T2^9 - 208*T1^8*T2^9 + 2582*T1^9*T2^9 - 1506*T1^10*T2^9 + 
      2827*T1^11*T2^9 - 1320*T1^12*T2^9 - 604*T1^13*T2^9 + 1593*T1^14*T2^9 - 
      350*T1^15*T2^9 - 125*T1^16*T2^9 - 265*T1^2*T2^10 + 10*T1^3*T2^10 + 
      2042*T1^4*T2^10 - 2158*T1^5*T2^10 - 1020*T1^6*T2^10 + 2277*T1^7*T2^10 - 
      64*T1^8*T2^10 - 1506*T1^9*T2^10 - 564*T1^10*T2^10 - 433*T1^11*T2^10 - 
      1582*T1^12*T2^10 + 2442*T1^13*T2^10 - 2022*T1^14*T2^10 + 
      50*T1^15*T2^10 + 287*T1^16*T2^10 + 263*T1^3*T2^11 - 630*T1^4*T2^11 - 
      715*T1^5*T2^11 + 2602*T1^6*T2^11 - 995*T1^7*T2^11 - 1833*T1^8*T2^11 + 
      2827*T1^9*T2^11 - 433*T1^10*T2^11 + 477*T1^11*T2^11 + 
      2080*T1^12*T2^11 - 2398*T1^13*T2^11 + 1325*T1^14*T2^11 + 
      530*T1^15*T2^11 - 437*T1^16*T2^11 - 137*T1^4*T2^12 + 770*T1^5*T2^12 - 
      726*T1^6*T2^12 - 1334*T1^7*T2^12 + 2390*T1^8*T2^12 - 1320*T1^9*T2^12 - 
      1582*T1^10*T2^12 + 2080*T1^11*T2^12 - 3566*T1^12*T2^12 + 
      2446*T1^13*T2^12 - 550*T1^14*T2^12 - 950*T1^15*T2^12 + 
      487*T1^16*T2^12 - 17*T1^5*T2^13 - 430*T1^6*T2^13 + 1363*T1^7*T2^13 - 
      972*T1^8*T2^13 - 604*T1^9*T2^13 + 2442*T1^10*T2^13 - 2398*T1^11*T2^13 + 
      2446*T1^12*T2^13 - 792*T1^13*T2^13 - 707*T1^14*T2^13 + 
      1210*T1^15*T2^13 - 437*T1^16*T2^13 + 103*T1^6*T2^14 - 90*T1^7*T2^14 - 
      649*T1^8*T2^14 + 1593*T1^9*T2^14 - 2022*T1^10*T2^14 + 
      1325*T1^11*T2^14 - 550*T1^12*T2^14 - 707*T1^13*T2^14 + 
      1283*T1^14*T2^14 - 1010*T1^15*T2^14 + 287*T1^16*T2^14 - 85*T1^7*T2^15 + 
      300*T1^8*T2^15 - 350*T1^9*T2^15 + 50*T1^10*T2^15 + 530*T1^11*T2^15 - 
      950*T1^12*T2^15 + 1210*T1^13*T2^15 - 1010*T1^14*T2^15 + 
      540*T1^15*T2^15 - 125*T1^16*T2^15 + 25*T1^8*T2^16 - 125*T1^9*T2^16 + 
      287*T1^10*T2^16 - 437*T1^11*T2^16 + 487*T1^12*T2^16 - 437*T1^13*T2^16 + 
      287*T1^14*T2^16 - 125*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 821] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-4*(4 - 20*T1 + 44*T1^2 - 57*T1^3 + 44*T1^4 - 20*T1^5 + 4*T1^6)*
     (-1 + T1*T2)^2*(1 + T1*T2)*(3 - 4*T1*T2 + 3*T1^2*T2^2)*
     (4 - 20*T2 + 44*T2^2 - 57*T2^3 + 44*T2^4 - 20*T2^5 + 4*T2^6))/
    (T1^7*T2^6)}, Knot[12, Alternating, 822] -> 
  {-(((1 - 2*T + T^2 - 2*T^3 + T^4)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -((-57 + 227*T1 - 424*T1^2 + 621*T1^3 - 705*T1^4 + 621*T1^5 - 424*T1^6 + 
      227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 915*T1^2*T2 - 1027*T1^3*T2 + 
      688*T1^4*T2 - 64*T1^5*T2 - 435*T1^6*T2 + 547*T1^7*T2 - 550*T1^8*T2 + 
      195*T1^9*T2 - 424*T2^2 + 915*T1*T2^2 - 362*T1^2*T2^2 + 8*T1^3*T2^2 + 
      1035*T1^4*T2^2 - 1776*T1^5*T2^2 + 1635*T1^6*T2^2 - 832*T1^7*T2^2 + 
      418*T1^8*T2^2 + 435*T1^9*T2^2 - 304*T1^10*T2^2 + 621*T2^3 - 
      1027*T1*T2^3 + 8*T1^2*T2^3 - 260*T1^3*T2^3 - 689*T1^4*T2^3 + 
      717*T1^5*T2^3 - 39*T1^6*T2^3 - 605*T1^7*T2^3 + 148*T1^8*T2^3 - 
      772*T1^9*T2^3 - 211*T1^10*T2^3 + 357*T1^11*T2^3 - 705*T2^4 + 
      688*T1*T2^4 + 1035*T1^2*T2^4 - 689*T1^3*T2^4 + 2696*T1^4*T2^4 - 
      2845*T1^5*T2^4 + 2534*T1^6*T2^4 - 2125*T1^7*T2^4 + 2368*T1^8*T2^4 - 
      513*T1^9*T2^4 + 1219*T1^10*T2^4 - 208*T1^11*T2^4 - 305*T1^12*T2^4 + 
      621*T2^5 - 64*T1*T2^5 - 1776*T1^2*T2^5 + 717*T1^3*T2^5 - 
      2845*T1^4*T2^5 + 1832*T1^5*T2^5 - 1143*T1^6*T2^5 + 487*T1^7*T2^5 - 
      478*T1^8*T2^5 - 1535*T1^9*T2^5 - 143*T1^10*T2^5 - 936*T1^11*T2^5 + 
      496*T1^12*T2^5 + 181*T1^13*T2^5 - 424*T2^6 - 435*T1*T2^6 + 
      1635*T1^2*T2^6 - 39*T1^3*T2^6 + 2534*T1^4*T2^6 - 1143*T1^5*T2^6 + 
      1322*T1^6*T2^6 - 1318*T1^7*T2^6 + 1306*T1^8*T2^6 + 589*T1^9*T2^6 + 
      1296*T1^10*T2^6 + 561*T1^11*T2^6 + 203*T1^12*T2^6 - 467*T1^13*T2^6 - 
      64*T1^14*T2^6 + 227*T2^7 + 547*T1*T2^7 - 832*T1^2*T2^7 - 
      605*T1^3*T2^7 - 2125*T1^4*T2^7 + 487*T1^5*T2^7 - 1318*T1^6*T2^7 + 
      1266*T1^7*T2^7 - 634*T1^8*T2^7 - 918*T1^9*T2^7 - 939*T1^10*T2^7 - 
      1075*T1^11*T2^7 - 321*T1^12*T2^7 + 308*T1^13*T2^7 + 243*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 418*T1^2*T2^8 + 148*T1^3*T2^8 + 
      2368*T1^4*T2^8 - 478*T1^5*T2^8 + 1306*T1^6*T2^8 - 634*T1^7*T2^8 - 
      456*T1^8*T2^8 + 1182*T1^9*T2^8 + 486*T1^10*T2^8 + 1202*T1^11*T2^8 + 
      476*T1^12*T2^8 - 60*T1^13*T2^8 - 374*T1^14*T2^8 - 38*T1^15*T2^8 + 
      7*T1^16*T2^8 + 195*T1*T2^9 + 435*T1^2*T2^9 - 772*T1^3*T2^9 - 
      513*T1^4*T2^9 - 1535*T1^5*T2^9 + 589*T1^6*T2^9 - 918*T1^7*T2^9 + 
      1182*T1^8*T2^9 - 718*T1^9*T2^9 - 518*T1^10*T2^9 - 837*T1^11*T2^9 - 
      485*T1^12*T2^9 - 229*T1^13*T2^9 + 368*T1^14*T2^9 + 131*T1^15*T2^9 - 
      29*T1^16*T2^9 - 304*T1^2*T2^10 - 211*T1^3*T2^10 + 1219*T1^4*T2^10 - 
      143*T1^5*T2^10 + 1296*T1^6*T2^10 - 939*T1^7*T2^10 + 486*T1^8*T2^10 - 
      518*T1^9*T2^10 + 470*T1^10*T2^10 + 793*T1^11*T2^10 + 58*T1^12*T2^10 + 
      457*T1^13*T2^10 - 213*T1^14*T2^10 - 243*T1^15*T2^10 + 56*T1^16*T2^10 + 
      357*T1^3*T2^11 - 208*T1^4*T2^11 - 936*T1^5*T2^11 + 561*T1^6*T2^11 - 
      1075*T1^7*T2^11 + 1202*T1^8*T2^11 - 837*T1^9*T2^11 + 793*T1^10*T2^11 - 
      1108*T1^11*T2^11 + 235*T1^12*T2^11 - 299*T1^13*T2^11 - 96*T1^14*T2^11 + 
      352*T1^15*T2^11 - 83*T1^16*T2^11 - 305*T1^4*T2^12 + 496*T1^5*T2^12 + 
      203*T1^6*T2^12 - 321*T1^7*T2^12 + 476*T1^8*T2^12 - 485*T1^9*T2^12 + 
      58*T1^10*T2^12 + 235*T1^11*T2^12 + 148*T1^12*T2^12 - 145*T1^13*T2^12 + 
      387*T1^14*T2^12 - 400*T1^15*T2^12 + 95*T1^16*T2^12 + 181*T1^5*T2^13 - 
      467*T1^6*T2^13 + 308*T1^7*T2^13 - 60*T1^8*T2^13 - 229*T1^9*T2^13 + 
      457*T1^10*T2^13 - 299*T1^11*T2^13 - 145*T1^12*T2^13 + 348*T1^13*T2^13 - 
      472*T1^14*T2^13 + 349*T1^15*T2^13 - 83*T1^16*T2^13 - 64*T1^6*T2^14 + 
      243*T1^7*T2^14 - 374*T1^8*T2^14 + 368*T1^9*T2^14 - 213*T1^10*T2^14 - 
      96*T1^11*T2^14 + 387*T1^12*T2^14 - 472*T1^13*T2^14 + 406*T1^14*T2^14 - 
      237*T1^15*T2^14 + 56*T1^16*T2^14 + 3*T1^7*T2^15 - 38*T1^8*T2^15 + 
      131*T1^9*T2^15 - 243*T1^10*T2^15 + 352*T1^11*T2^15 - 400*T1^12*T2^15 + 
      349*T1^13*T2^15 - 237*T1^14*T2^15 + 122*T1^15*T2^15 - 29*T1^16*T2^15 + 
      7*T1^8*T2^16 - 29*T1^9*T2^16 + 56*T1^10*T2^16 - 83*T1^11*T2^16 + 
      95*T1^12*T2^16 - 83*T1^13*T2^16 + 56*T1^14*T2^16 - 29*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 823] -> 
  {-((4 - 17*T + 31*T^2 - 37*T^3 + 31*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-336 + 1420*T1 - 2580*T1^2 + 3080*T1^3 - 2580*T1^4 + 1420*T1^5 - 
      336*T1^6 + 1420*T2 - 4858*T1*T2 + 6068*T1^2*T2 - 4224*T1^3*T2 + 
      400*T1^4*T2 + 2804*T1^5*T2 - 3430*T1^6*T2 + 1148*T1^7*T2 - 2580*T2^2 + 
      6068*T1*T2^2 - 918*T1^2*T2^2 - 7022*T1^3*T2^2 + 12712*T1^4*T2^2 - 
      11982*T1^5*T2^2 + 5778*T1^6*T2^2 + 1852*T1^7*T2^2 - 1588*T1^8*T2^2 + 
      3080*T2^3 - 4224*T1*T2^3 - 7022*T1^2*T2^3 + 13169*T1^3*T2^3 - 
      11683*T1^4*T2^3 + 2841*T1^5*T2^3 + 6077*T1^6*T2^3 - 9719*T1^7*T2^3 + 
      1216*T1^8*T2^3 + 1304*T1^9*T2^3 - 2580*T2^4 + 400*T1*T2^4 + 
      12712*T1^2*T2^4 - 11683*T1^3*T2^4 + 3801*T1^4*T2^4 + 5757*T1^5*T2^4 - 
      7967*T1^6*T2^4 + 3931*T1^7*T2^4 + 6702*T1^8*T2^4 - 3000*T1^9*T2^4 - 
      596*T1^10*T2^4 + 1420*T2^5 + 2804*T1*T2^5 - 11982*T1^2*T2^5 + 
      2841*T1^3*T2^5 + 5757*T1^4*T2^5 - 8046*T1^5*T2^5 + 1202*T1^6*T2^5 + 
      4982*T1^7*T2^5 - 9503*T1^8*T2^5 - 233*T1^9*T2^5 + 2260*T1^10*T2^5 + 
      60*T1^11*T2^5 - 336*T2^6 - 3430*T1*T2^6 + 5778*T1^2*T2^6 + 
      6077*T1^3*T2^6 - 7967*T1^4*T2^6 + 1202*T1^5*T2^6 + 7452*T1^6*T2^6 - 
      7658*T1^7*T2^6 + 4131*T1^8*T2^6 + 5687*T1^9*T2^6 - 3210*T1^10*T2^6 - 
      438*T1^11*T2^6 + 48*T1^12*T2^6 + 1148*T1*T2^7 + 1852*T1^2*T2^7 - 
      9719*T1^3*T2^7 + 3931*T1^4*T2^7 + 4982*T1^5*T2^7 - 7658*T1^6*T2^7 + 
      1590*T1^7*T2^7 + 4207*T1^8*T2^7 - 8413*T1^9*T2^7 + 2030*T1^10*T2^7 + 
      1308*T1^11*T2^7 - 212*T1^12*T2^7 - 1588*T1^2*T2^8 + 1216*T1^3*T2^8 + 
      6702*T1^4*T2^8 - 9503*T1^5*T2^8 + 4131*T1^6*T2^8 + 4207*T1^7*T2^8 - 
      7637*T1^8*T2^8 + 6111*T1^9*T2^8 + 692*T1^10*T2^8 - 2184*T1^11*T2^8 + 
      396*T1^12*T2^8 + 1304*T1^3*T2^9 - 3000*T1^4*T2^9 - 233*T1^5*T2^9 + 
      5687*T1^6*T2^9 - 8413*T1^7*T2^9 + 6111*T1^8*T2^9 - 1405*T1^9*T2^9 - 
      2930*T1^10*T2^9 + 2440*T1^11*T2^9 - 472*T1^12*T2^9 - 596*T1^4*T2^10 + 
      2260*T1^5*T2^10 - 3210*T1^6*T2^10 + 2030*T1^7*T2^10 + 692*T1^8*T2^10 - 
      2930*T1^9*T2^10 + 3486*T1^10*T2^10 - 1956*T1^11*T2^10 + 
      396*T1^12*T2^10 + 60*T1^5*T2^11 - 438*T1^6*T2^11 + 1308*T1^7*T2^11 - 
      2184*T1^8*T2^11 + 2440*T1^9*T2^11 - 1956*T1^10*T2^11 + 
      990*T1^11*T2^11 - 212*T1^12*T2^11 + 48*T1^6*T2^12 - 212*T1^7*T2^12 + 
      396*T1^8*T2^12 - 472*T1^9*T2^12 + 396*T1^10*T2^12 - 212*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 824] -> 
  {(1 - 3*T + 7*T^2 - 13*T^3 + 19*T^4 - 21*T^5 + 19*T^6 - 13*T^7 + 7*T^8 - 
     3*T^9 + T^10)/T^5, (-4 + 12*T1 - 28*T1^2 + 52*T1^3 - 76*T1^4 + 84*T1^5 - 
     76*T1^6 + 52*T1^7 - 28*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 
     57*T1^2*T2 - 93*T1^3*T2 + 111*T1^4*T2 - 81*T1^5*T2 + 39*T1^6*T2 + 
     15*T1^7*T2 - 33*T1^8*T2 + 27*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 
     28*T2^2 + 57*T1*T2^2 - 129*T1^2*T2^2 + 218*T1^3*T2^2 - 283*T1^4*T2^2 + 
     267*T1^5*T2^2 - 245*T1^6*T2^2 + 155*T1^7*T2^2 - 115*T1^8*T2^2 + 
     78*T1^9*T2^2 - 45*T1^10*T2^2 + 15*T1^11*T2^2 - 14*T1^12*T2^2 + 52*T2^3 - 
     93*T1*T2^3 + 218*T1^2*T2^3 - 352*T1^3*T2^3 + 434*T1^4*T2^3 - 
     369*T1^5*T2^3 + 307*T1^6*T2^3 - 101*T1^7*T2^3 + 51*T1^8*T2^3 - 
     4*T1^9*T2^3 - 16*T1^10*T2^3 + 29*T1^11*T2^3 + 3*T1^12*T2^3 + 
     13*T1^13*T2^3 - 76*T2^4 + 111*T1*T2^4 - 283*T1^2*T2^4 + 434*T1^3*T2^4 - 
     517*T1^4*T2^4 + 422*T1^5*T2^4 - 386*T1^6*T2^4 + 99*T1^7*T2^4 - 
     98*T1^8*T2^4 - 10*T1^9*T2^4 + 71*T1^10*T2^4 - 86*T1^11*T2^4 + 
     15*T1^12*T2^4 - 39*T1^13*T2^4 + 84*T2^5 - 81*T1*T2^5 + 267*T1^2*T2^5 - 
     369*T1^3*T2^5 + 422*T1^4*T2^5 - 337*T1^5*T2^5 + 387*T1^6*T2^5 - 
     69*T1^7*T2^5 + 199*T1^8*T2^5 - 47*T1^9*T2^5 + 31*T1^10*T2^5 - 
     89*T1^11*T2^5 + 163*T1^12*T2^5 - 46*T1^13*T2^5 + 63*T1^14*T2^5 - 
     21*T1^15*T2^5 - 76*T2^6 + 39*T1*T2^6 - 245*T1^2*T2^6 + 307*T1^3*T2^6 - 
     386*T1^4*T2^6 + 387*T1^5*T2^6 - 496*T1^6*T2^6 + 84*T1^7*T2^6 - 
     210*T1^8*T2^6 - 160*T1^9*T2^6 + 212*T1^10*T2^6 - 131*T1^11*T2^6 + 
     100*T1^12*T2^6 - 209*T1^13*T2^6 + 63*T1^14*T2^6 - 51*T1^15*T2^6 + 
     38*T1^16*T2^6 + 52*T2^7 + 15*T1*T2^7 + 155*T1^2*T2^7 - 101*T1^3*T2^7 + 
     99*T1^4*T2^7 - 69*T1^5*T2^7 + 84*T1^6*T2^7 + 370*T1^7*T2^7 - 
     135*T1^8*T2^7 + 423*T1^9*T2^7 - 182*T1^10*T2^7 - 137*T1^11*T2^7 + 
     131*T1^12*T2^7 - 24*T1^13*T2^7 + 163*T1^14*T2^7 - 68*T1^15*T2^7 + 
     3*T1^16*T2^7 - 39*T1^17*T2^7 - 28*T2^8 - 33*T1*T2^8 - 115*T1^2*T2^8 + 
     51*T1^3*T2^8 - 98*T1^4*T2^8 + 199*T1^5*T2^8 - 210*T1^6*T2^8 - 
     135*T1^7*T2^8 - 139*T1^8*T2^8 - 117*T1^9*T2^8 - 127*T1^10*T2^8 + 
     325*T1^11*T2^8 + 56*T1^12*T2^8 - 171*T1^13*T2^8 + 10*T1^14*T2^8 - 
     89*T1^15*T2^8 + 107*T1^16*T2^8 + 33*T1^17*T2^8 + 28*T1^18*T2^8 + 
     12*T2^9 + 27*T1*T2^9 + 78*T1^2*T2^9 - 4*T1^3*T2^9 - 10*T1^4*T2^9 - 
     47*T1^5*T2^9 - 160*T1^6*T2^9 + 423*T1^7*T2^9 - 117*T1^8*T2^9 + 
     137*T1^9*T2^9 + 123*T1^10*T2^9 - 278*T1^11*T2^9 - 331*T1^12*T2^9 + 
     153*T1^13*T2^9 + 51*T1^14*T2^9 + 27*T1^15*T2^9 - 58*T1^16*T2^9 - 
     125*T1^17*T2^9 - 39*T1^18*T2^9 - 15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 - 
     45*T1^2*T2^10 - 16*T1^3*T2^10 + 71*T1^4*T2^10 + 31*T1^5*T2^10 + 
     212*T1^6*T2^10 - 182*T1^7*T2^10 - 127*T1^8*T2^10 + 123*T1^9*T2^10 + 
     36*T1^10*T2^10 - 79*T1^11*T2^10 + 795*T1^12*T2^10 - 170*T1^13*T2^10 + 
     20*T1^14*T2^10 - 67*T1^15*T2^10 + 77*T1^16*T2^10 + 152*T1^17*T2^10 + 
     103*T1^18*T2^10 + 27*T1^19*T2^10 + 6*T1^20*T2^10 + 9*T1*T2^11 + 
     15*T1^2*T2^11 + 29*T1^3*T2^11 - 86*T1^4*T2^11 - 89*T1^5*T2^11 - 
     131*T1^6*T2^11 - 137*T1^7*T2^11 + 325*T1^8*T2^11 - 278*T1^9*T2^11 - 
     79*T1^10*T2^11 - 93*T1^11*T2^11 - 439*T1^12*T2^11 - 429*T1^13*T2^11 + 
     176*T1^14*T2^11 - 33*T1^15*T2^11 - 52*T1^16*T2^11 - 140*T1^17*T2^11 - 
     174*T1^18*T2^11 - 51*T1^19*T2^11 - 18*T1^20*T2^11 - 14*T1^2*T2^12 + 
     3*T1^3*T2^12 + 15*T1^4*T2^12 + 163*T1^5*T2^12 + 100*T1^6*T2^12 + 
     131*T1^7*T2^12 + 56*T1^8*T2^12 - 331*T1^9*T2^12 + 795*T1^10*T2^12 - 
     439*T1^11*T2^12 + 807*T1^12*T2^12 + 129*T1^13*T2^12 + 322*T1^14*T2^12 - 
     239*T1^15*T2^12 + 208*T1^16*T2^12 + 23*T1^17*T2^12 + 237*T1^18*T2^12 + 
     69*T1^19*T2^12 + 42*T1^20*T2^12 + 13*T1^3*T2^13 - 39*T1^4*T2^13 - 
     46*T1^5*T2^13 - 209*T1^6*T2^13 - 24*T1^7*T2^13 - 171*T1^8*T2^13 + 
     153*T1^9*T2^13 - 170*T1^10*T2^13 - 429*T1^11*T2^13 + 129*T1^12*T2^13 - 
     722*T1^13*T2^13 - 68*T1^14*T2^13 + 29*T1^15*T2^13 - 147*T1^16*T2^13 + 
     55*T1^17*T2^13 - 269*T1^18*T2^13 - 51*T1^19*T2^13 - 78*T1^20*T2^13 + 
     63*T1^5*T2^14 + 63*T1^6*T2^14 + 163*T1^7*T2^14 + 10*T1^8*T2^14 + 
     51*T1^9*T2^14 + 20*T1^10*T2^14 + 176*T1^11*T2^14 + 322*T1^12*T2^14 - 
     68*T1^13*T2^14 + 728*T1^14*T2^14 - 467*T1^15*T2^14 + 496*T1^16*T2^14 - 
     353*T1^17*T2^14 + 371*T1^18*T2^14 - 27*T1^19*T2^14 + 114*T1^20*T2^14 - 
     21*T1^5*T2^15 - 51*T1^6*T2^15 - 68*T1^7*T2^15 - 89*T1^8*T2^15 + 
     27*T1^9*T2^15 - 67*T1^10*T2^15 - 33*T1^11*T2^15 - 239*T1^12*T2^15 + 
     29*T1^13*T2^15 - 467*T1^14*T2^15 + 301*T1^15*T2^15 - 484*T1^16*T2^15 + 
     443*T1^17*T2^15 - 381*T1^18*T2^15 + 93*T1^19*T2^15 - 126*T1^20*T2^15 + 
     38*T1^6*T2^16 + 3*T1^7*T2^16 + 107*T1^8*T2^16 - 58*T1^9*T2^16 + 
     77*T1^10*T2^16 - 52*T1^11*T2^16 + 208*T1^12*T2^16 - 147*T1^13*T2^16 + 
     496*T1^14*T2^16 - 484*T1^15*T2^16 + 665*T1^16*T2^16 - 578*T1^17*T2^16 + 
     405*T1^18*T2^16 - 147*T1^19*T2^16 + 114*T1^20*T2^16 - 39*T1^7*T2^17 + 
     33*T1^8*T2^17 - 125*T1^9*T2^17 + 152*T1^10*T2^17 - 140*T1^11*T2^17 + 
     23*T1^12*T2^17 + 55*T1^13*T2^17 - 353*T1^14*T2^17 + 443*T1^15*T2^17 - 
     578*T1^16*T2^17 + 488*T1^17*T2^17 - 314*T1^18*T2^17 + 129*T1^19*T2^17 - 
     78*T1^20*T2^17 + 28*T1^8*T2^18 - 39*T1^9*T2^18 + 103*T1^10*T2^18 - 
     174*T1^11*T2^18 + 237*T1^12*T2^18 - 269*T1^13*T2^18 + 371*T1^14*T2^18 - 
     381*T1^15*T2^18 + 405*T1^16*T2^18 - 314*T1^17*T2^18 + 187*T1^18*T2^18 - 
     81*T1^19*T2^18 + 42*T1^20*T2^18 - 15*T1^9*T2^19 + 27*T1^10*T2^19 - 
     51*T1^11*T2^19 + 69*T1^12*T2^19 - 51*T1^13*T2^19 - 27*T1^14*T2^19 + 
     93*T1^15*T2^19 - 147*T1^16*T2^19 + 129*T1^17*T2^19 - 81*T1^18*T2^19 + 
     39*T1^19*T2^19 - 18*T1^20*T2^19 + 6*T1^10*T2^20 - 18*T1^11*T2^20 + 
     42*T1^12*T2^20 - 78*T1^13*T2^20 + 114*T1^14*T2^20 - 126*T1^15*T2^20 + 
     114*T1^16*T2^20 - 78*T1^17*T2^20 + 42*T1^18*T2^20 - 18*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 825] -> 
  {(2 - 7*T + 16*T^2 - 27*T^3 + 33*T^4 - 27*T^5 + 16*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-31 + 109*T1 - 249*T1^2 + 420*T1^3 - 513*T1^4 + 420*T1^5 - 
     249*T1^6 + 109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 590*T1^2*T2 - 
     825*T1^3*T2 + 705*T1^4*T2 - 135*T1^5*T2 - 223*T1^6*T2 + 268*T1^7*T2 - 
     176*T1^8*T2 + 81*T1^9*T2 - 249*T2^2 + 590*T1*T2^2 - 1112*T1^2*T2^2 + 
     1493*T1^3*T2^2 - 1199*T1^4*T2^2 + 256*T1^5*T2^2 - 111*T1^6*T2^2 + 
     213*T1^7*T2^2 - 216*T1^8*T2^2 + 142*T1^9*T2^2 - 121*T1^10*T2^2 + 
     420*T2^3 - 825*T1*T2^3 + 1493*T1^2*T2^3 - 1838*T1^3*T2^3 + 
     1174*T1^4*T2^3 + 99*T1^5*T2^3 + 345*T1^6*T2^3 - 490*T1^7*T2^3 + 
     284*T1^8*T2^3 - 91*T1^9*T2^3 + 85*T1^10*T2^3 + 96*T1^11*T2^3 - 
     513*T2^4 + 705*T1*T2^4 - 1199*T1^2*T2^4 + 1174*T1^3*T2^4 - 
     131*T1^4*T2^4 - 871*T1^5*T2^4 - 615*T1^6*T2^4 + 275*T1^7*T2^4 + 
     493*T1^8*T2^4 - 662*T1^9*T2^4 + 379*T1^10*T2^4 - 387*T1^11*T2^4 + 
     15*T1^12*T2^4 + 420*T2^5 - 135*T1*T2^5 + 256*T1^2*T2^5 + 99*T1^3*T2^5 - 
     871*T1^4*T2^5 + 491*T1^5*T2^5 + 1954*T1^6*T2^5 - 377*T1^7*T2^5 - 
     823*T1^8*T2^5 + 380*T1^9*T2^5 + 189*T1^10*T2^5 - 77*T1^11*T2^5 + 
     369*T1^12*T2^5 - 120*T1^13*T2^5 - 249*T2^6 - 223*T1*T2^6 - 
     111*T1^2*T2^6 + 345*T1^3*T2^6 - 615*T1^4*T2^6 + 1954*T1^5*T2^6 - 
     2931*T1^6*T2^6 - 1235*T1^7*T2^6 + 2589*T1^8*T2^6 - 914*T1^9*T2^6 + 
     93*T1^10*T2^6 - 135*T1^11*T2^6 - 219*T1^12*T2^6 - 55*T1^13*T2^6 + 
     135*T1^14*T2^6 + 109*T2^7 + 268*T1*T2^7 + 213*T1^2*T2^7 - 
     490*T1^3*T2^7 + 275*T1^4*T2^7 - 377*T1^5*T2^7 - 1235*T1^6*T2^7 + 
     5543*T1^7*T2^7 - 4187*T1^8*T2^7 - 90*T1^9*T2^7 + 880*T1^10*T2^7 - 
     556*T1^11*T2^7 + 486*T1^12*T2^7 - 27*T1^13*T2^7 - 166*T1^14*T2^7 - 
     87*T1^15*T2^7 - 31*T2^8 - 176*T1*T2^8 - 216*T1^2*T2^8 + 284*T1^3*T2^8 + 
     493*T1^4*T2^8 - 823*T1^5*T2^8 + 2589*T1^6*T2^8 - 4187*T1^7*T2^8 + 
     348*T1^8*T2^8 + 4011*T1^9*T2^8 - 2253*T1^10*T2^8 + 779*T1^11*T2^8 - 
     211*T1^12*T2^8 - 128*T1^13*T2^8 + 286*T1^14*T2^8 + 188*T1^15*T2^8 + 
     33*T1^16*T2^8 + 81*T1*T2^9 + 142*T1^2*T2^9 - 91*T1^3*T2^9 - 
     662*T1^4*T2^9 + 380*T1^5*T2^9 - 914*T1^6*T2^9 - 90*T1^7*T2^9 + 
     4011*T1^8*T2^9 - 5719*T1^9*T2^9 + 1055*T1^10*T2^9 + 343*T1^11*T2^9 - 
     451*T1^12*T2^9 + 314*T1^13*T2^9 - 331*T1^14*T2^9 - 292*T1^15*T2^9 - 
     115*T1^16*T2^9 - 121*T1^2*T2^10 + 85*T1^3*T2^10 + 379*T1^4*T2^10 + 
     189*T1^5*T2^10 + 93*T1^6*T2^10 + 880*T1^7*T2^10 - 2253*T1^8*T2^10 + 
     1055*T1^9*T2^10 + 3267*T1^10*T2^10 - 1988*T1^11*T2^10 + 
     801*T1^12*T2^10 - 291*T1^13*T2^10 + 271*T1^14*T2^10 + 253*T1^15*T2^10 + 
     263*T1^16*T2^10 + 96*T1^3*T2^11 - 387*T1^4*T2^11 - 77*T1^5*T2^11 - 
     135*T1^6*T2^11 - 556*T1^7*T2^11 + 779*T1^8*T2^11 + 343*T1^9*T2^11 - 
     1988*T1^10*T2^11 - 535*T1^11*T2^11 + 695*T1^12*T2^11 - 45*T1^13*T2^11 - 
     410*T1^14*T2^11 + 117*T1^15*T2^11 - 444*T1^16*T2^11 + 15*T1^4*T2^12 + 
     369*T1^5*T2^12 - 219*T1^6*T2^12 + 486*T1^7*T2^12 - 211*T1^8*T2^12 - 
     451*T1^9*T2^12 + 801*T1^10*T2^12 + 695*T1^11*T2^12 + 413*T1^12*T2^12 - 
     1350*T1^13*T2^12 + 1359*T1^14*T2^12 - 723*T1^15*T2^12 + 
     543*T1^16*T2^12 - 120*T1^5*T2^13 - 55*T1^6*T2^13 - 27*T1^7*T2^13 - 
     128*T1^8*T2^13 + 314*T1^9*T2^13 - 291*T1^10*T2^13 - 45*T1^11*T2^13 - 
     1350*T1^12*T2^13 + 1994*T1^13*T2^13 - 1611*T1^14*T2^13 + 
     855*T1^15*T2^13 - 444*T1^16*T2^13 + 135*T1^6*T2^14 - 166*T1^7*T2^14 + 
     286*T1^8*T2^14 - 331*T1^9*T2^14 + 271*T1^10*T2^14 - 410*T1^11*T2^14 + 
     1359*T1^12*T2^14 - 1611*T1^13*T2^14 + 1182*T1^14*T2^14 - 
     614*T1^15*T2^14 + 263*T1^16*T2^14 - 87*T1^7*T2^15 + 188*T1^8*T2^15 - 
     292*T1^9*T2^15 + 253*T1^10*T2^15 + 117*T1^11*T2^15 - 723*T1^12*T2^15 + 
     855*T1^13*T2^15 - 614*T1^14*T2^15 + 314*T1^15*T2^15 - 115*T1^16*T2^15 + 
     33*T1^8*T2^16 - 115*T1^9*T2^16 + 263*T1^10*T2^16 - 444*T1^11*T2^16 + 
     543*T1^12*T2^16 - 444*T1^13*T2^16 + 263*T1^14*T2^16 - 115*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 826] -> 
  {(2 - 6*T + 11*T^2 - 16*T^3 + 19*T^4 - 16*T^5 + 11*T^6 - 6*T^7 + 2*T^8)/
    T^4, (-31 + 93*T1 - 170*T1^2 + 247*T1^3 - 293*T1^4 + 247*T1^5 - 
     170*T1^6 + 93*T1^7 - 31*T1^8 + 93*T2 - 210*T1*T2 + 303*T1^2*T2 - 
     363*T1^3*T2 + 330*T1^4*T2 - 90*T1^5*T2 - 39*T1^6*T2 + 99*T1^7*T2 - 
     114*T1^8*T2 + 69*T1^9*T2 - 170*T2^2 + 303*T1*T2^2 - 389*T1^2*T2^2 + 
     457*T1^3*T2^2 - 393*T1^4*T2^2 + 35*T1^5*T2^2 - 41*T1^6*T2^2 + 
     17*T1^7*T2^2 + 7*T1^8*T2^2 + 39*T1^9*T2^2 - 82*T1^10*T2^2 + 247*T2^3 - 
     363*T1*T2^3 + 457*T1^2*T2^3 - 568*T1^3*T2^3 + 494*T1^4*T2^3 - 
     50*T1^5*T2^3 + 232*T1^6*T2^3 - 124*T1^7*T2^3 + 38*T1^8*T2^3 - 
     71*T1^9*T2^3 + 81*T1^10*T2^3 + 55*T1^11*T2^3 - 293*T2^4 + 330*T1*T2^4 - 
     393*T1^2*T2^4 + 494*T1^3*T2^4 - 327*T1^4*T2^4 - 233*T1^5*T2^4 - 
     75*T1^6*T2^4 - 217*T1^7*T2^4 + 337*T1^8*T2^4 - 210*T1^9*T2^4 + 
     127*T1^10*T2^4 - 198*T1^11*T2^4 + 11*T1^12*T2^4 + 247*T2^5 - 
     90*T1*T2^5 + 35*T1^2*T2^5 - 50*T1^3*T2^5 - 233*T1^4*T2^5 + 
     664*T1^5*T2^5 - 35*T1^6*T2^5 + 319*T1^7*T2^5 - 254*T1^8*T2^5 - 
     109*T1^9*T2^5 + 156*T1^10*T2^5 - 25*T1^11*T2^5 + 186*T1^12*T2^5 - 
     73*T1^13*T2^5 - 170*T2^6 - 39*T1*T2^6 - 41*T1^2*T2^6 + 232*T1^3*T2^6 - 
     75*T1^4*T2^6 - 35*T1^5*T2^6 - 581*T1^6*T2^6 - 41*T1^7*T2^6 + 
     111*T1^8*T2^6 + 201*T1^9*T2^6 + 51*T1^10*T2^6 - 164*T1^11*T2^6 - 
     57*T1^12*T2^6 - 63*T1^13*T2^6 + 94*T1^14*T2^6 + 93*T2^7 + 99*T1*T2^7 + 
     17*T1^2*T2^7 - 124*T1^3*T2^7 - 217*T1^4*T2^7 + 319*T1^5*T2^7 - 
     41*T1^6*T2^7 + 740*T1^7*T2^7 - 582*T1^8*T2^7 - 17*T1^9*T2^7 - 
     271*T1^10*T2^7 + 91*T1^11*T2^7 + 150*T1^12*T2^7 + 17*T1^13*T2^7 - 
     57*T1^14*T2^7 - 75*T1^15*T2^7 - 31*T2^8 - 114*T1*T2^8 + 7*T1^2*T2^8 + 
     38*T1^3*T2^8 + 337*T1^4*T2^8 - 254*T1^5*T2^8 + 111*T1^6*T2^8 - 
     582*T1^7*T2^8 + 240*T1^8*T2^8 + 426*T1^9*T2^8 + 115*T1^10*T2^8 + 
     202*T1^11*T2^8 - 259*T1^12*T2^8 + 22*T1^13*T2^8 + 31*T1^14*T2^8 + 
     126*T1^15*T2^8 + 33*T1^16*T2^8 + 69*T1*T2^9 + 39*T1^2*T2^9 - 
     71*T1^3*T2^9 - 210*T1^4*T2^9 - 109*T1^5*T2^9 + 201*T1^6*T2^9 - 
     17*T1^7*T2^9 + 426*T1^8*T2^9 - 896*T1^9*T2^9 + 7*T1^10*T2^9 - 
     389*T1^11*T2^9 + 199*T1^12*T2^9 + 64*T1^13*T2^9 - 71*T1^14*T2^9 - 
     117*T1^15*T2^9 - 99*T1^16*T2^9 - 82*T1^2*T2^10 + 81*T1^3*T2^10 + 
     127*T1^4*T2^10 + 156*T1^5*T2^10 + 51*T1^6*T2^10 - 271*T1^7*T2^10 + 
     115*T1^8*T2^10 + 7*T1^9*T2^10 + 807*T1^10*T2^10 - 35*T1^11*T2^10 + 
     177*T1^12*T2^10 - 240*T1^13*T2^10 + 111*T1^14*T2^10 + 57*T1^15*T2^10 + 
     182*T1^16*T2^10 + 55*T1^3*T2^11 - 198*T1^4*T2^11 - 25*T1^5*T2^11 - 
     164*T1^6*T2^11 + 91*T1^7*T2^11 + 202*T1^8*T2^11 - 389*T1^9*T2^11 - 
     35*T1^10*T2^11 - 716*T1^11*T2^11 + 215*T1^12*T2^11 + 42*T1^13*T2^11 - 
     85*T1^14*T2^11 + 78*T1^15*T2^11 - 265*T1^16*T2^11 + 11*T1^4*T2^12 + 
     186*T1^5*T2^12 - 57*T1^6*T2^12 + 150*T1^7*T2^12 - 259*T1^8*T2^12 + 
     199*T1^9*T2^12 + 177*T1^10*T2^12 + 215*T1^11*T2^12 + 405*T1^12*T2^12 - 
     554*T1^13*T2^12 + 463*T1^14*T2^12 - 342*T1^15*T2^12 + 315*T1^16*T2^12 - 
     73*T1^5*T2^13 - 63*T1^6*T2^13 + 17*T1^7*T2^13 + 22*T1^8*T2^13 + 
     64*T1^9*T2^13 - 240*T1^10*T2^13 + 42*T1^11*T2^13 - 554*T1^12*T2^13 + 
     628*T1^13*T2^13 - 511*T1^14*T2^13 + 381*T1^15*T2^13 - 265*T1^16*T2^13 + 
     94*T1^6*T2^14 - 57*T1^7*T2^14 + 31*T1^8*T2^14 - 71*T1^9*T2^14 + 
     111*T1^10*T2^14 - 85*T1^11*T2^14 + 463*T1^12*T2^14 - 511*T1^13*T2^14 + 
     427*T1^14*T2^14 - 321*T1^15*T2^14 + 182*T1^16*T2^14 - 75*T1^7*T2^15 + 
     126*T1^8*T2^15 - 117*T1^9*T2^15 + 57*T1^10*T2^15 + 78*T1^11*T2^15 - 
     342*T1^12*T2^15 + 381*T1^13*T2^15 - 321*T1^14*T2^15 + 222*T1^15*T2^15 - 
     99*T1^16*T2^15 + 33*T1^8*T2^16 - 99*T1^9*T2^16 + 182*T1^10*T2^16 - 
     265*T1^11*T2^16 + 315*T1^12*T2^16 - 265*T1^13*T2^16 + 182*T1^14*T2^16 - 
     99*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 827] -> 
  {(4 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (-240 + 780*T1 - 1252*T1^2 + 1368*T1^3 - 1252*T1^4 + 780*T1^5 - 240*T1^6 + 
     780*T2 - 1962*T1*T2 + 2208*T1^2*T2 - 1468*T1^3*T2 + 820*T1^4*T2 + 
     440*T1^5*T2 - 1078*T1^6*T2 + 572*T1^7*T2 - 1252*T2^2 + 2208*T1*T2^2 - 
     973*T1^2*T2^2 - 931*T1^3*T2^2 + 1421*T1^4*T2^2 - 2611*T1^5*T2^2 + 
     1883*T1^6*T2^2 + 24*T1^7*T2^2 - 580*T1^8*T2^2 + 1368*T2^3 - 
     1468*T1*T2^3 - 931*T1^2*T2^3 + 2383*T1^3*T2^3 - 1231*T1^4*T2^3 + 
     1397*T1^5*T2^3 + 553*T1^6*T2^3 - 2086*T1^7*T2^3 + 1028*T1^8*T2^3 + 
     264*T1^9*T2^3 - 1252*T2^4 + 820*T1*T2^4 + 1421*T1^2*T2^4 - 
     1231*T1^3*T2^4 - 1161*T1^4*T2^4 + 691*T1^5*T2^4 - 1429*T1^6*T2^4 + 
     1207*T1^7*T2^4 + 703*T1^8*T2^4 - 1156*T1^9*T2^4 + 92*T1^10*T2^4 + 
     780*T2^5 + 440*T1*T2^5 - 2611*T1^2*T2^5 + 1397*T1^3*T2^5 + 
     691*T1^4*T2^5 + 972*T1^5*T2^5 - 1202*T1^6*T2^5 + 922*T1^7*T2^5 - 
     1611*T1^8*T2^5 + 644*T1^9*T2^5 + 544*T1^10*T2^5 - 260*T1^11*T2^5 - 
     240*T2^6 - 1078*T1*T2^6 + 1883*T1^2*T2^6 + 553*T1^3*T2^6 - 
     1429*T1^4*T2^6 - 1202*T1^5*T2^6 + 1224*T1^6*T2^6 + 222*T1^7*T2^6 + 
     33*T1^8*T2^6 + 1075*T1^9*T2^6 - 1361*T1^10*T2^6 + 378*T1^11*T2^6 + 
     144*T1^12*T2^6 + 572*T1*T2^7 + 24*T1^2*T2^7 - 2086*T1^3*T2^7 + 
     1207*T1^4*T2^7 + 922*T1^5*T2^7 + 222*T1^6*T2^7 - 1952*T1^7*T2^7 + 
     1153*T1^8*T2^7 - 1801*T1^9*T2^7 + 1169*T1^10*T2^7 + 128*T1^11*T2^7 - 
     468*T1^12*T2^7 - 580*T1^2*T2^8 + 1028*T1^3*T2^8 + 703*T1^4*T2^8 - 
     1611*T1^5*T2^8 + 33*T1^6*T2^8 + 1153*T1^7*T2^8 - 235*T1^8*T2^8 + 
     827*T1^9*T2^8 - 15*T1^10*T2^8 - 948*T1^11*T2^8 + 764*T1^12*T2^8 + 
     264*T1^3*T2^9 - 1156*T1^4*T2^9 + 644*T1^5*T2^9 + 1075*T1^6*T2^9 - 
     1801*T1^7*T2^9 + 827*T1^8*T2^9 - 755*T1^9*T2^9 - 511*T1^10*T2^9 + 
     1340*T1^11*T2^9 - 840*T1^12*T2^9 + 92*T1^4*T2^10 + 544*T1^5*T2^10 - 
     1361*T1^6*T2^10 + 1169*T1^7*T2^10 - 15*T1^8*T2^10 - 511*T1^9*T2^10 + 
     1495*T1^10*T2^10 - 1640*T1^11*T2^10 + 764*T1^12*T2^10 - 260*T1^5*T2^11 + 
     378*T1^6*T2^11 + 128*T1^7*T2^11 - 948*T1^8*T2^11 + 1340*T1^9*T2^11 - 
     1640*T1^10*T2^11 + 1262*T1^11*T2^11 - 468*T1^12*T2^11 + 144*T1^6*T2^12 - 
     468*T1^7*T2^12 + 764*T1^8*T2^12 - 840*T1^9*T2^12 + 764*T1^10*T2^12 - 
     468*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 828] -> 
  {(7 - 24*T + 42*T^2 - 49*T^3 + 42*T^4 - 24*T^5 + 7*T^6)/T^3, 
   -((2149 - 7286*T1 + 12658*T1^2 - 14717*T1^3 + 12658*T1^4 - 7286*T1^5 + 
      2149*T1^6 - 7286*T2 + 18676*T1*T2 - 22420*T1^2*T2 + 14140*T1^3*T2 - 
      1148*T1^4*T2 - 11332*T1^5*T2 + 13468*T1^6*T2 - 6110*T1^7*T2 + 
      12658*T2^2 - 22420*T1*T2^2 + 12818*T1^2*T2^2 + 7577*T1^3*T2^2 - 
      19176*T1^4*T2^2 + 22277*T1^5*T2^2 - 7762*T1^6*T2^2 - 8308*T1^7*T2^2 + 
      8542*T1^8*T2^2 - 14717*T2^3 + 14140*T1*T2^3 + 7577*T1^2*T2^3 - 
      23701*T1^3*T2^3 + 17062*T1^4*T2^3 - 6752*T1^5*T2^3 - 14797*T1^6*T2^3 + 
      19547*T1^7*T2^3 - 3500*T1^8*T2^3 - 7514*T1^9*T2^3 + 12658*T2^4 - 
      1148*T1*T2^4 - 19176*T1^2*T2^4 + 17062*T1^3*T2^4 + 4295*T1^4*T2^4 - 
      11825*T1^5*T2^4 + 21935*T1^6*T2^4 - 7634*T1^7*T2^4 - 12120*T1^8*T2^4 + 
      10612*T1^9*T2^4 + 4426*T1^10*T2^4 - 7286*T2^5 - 11332*T1*T2^5 + 
      22277*T1^2*T2^5 - 6752*T1^3*T2^5 - 11825*T1^4*T2^5 + 6654*T1^5*T2^5 - 
      7080*T1^6*T2^5 - 10061*T1^7*T2^5 + 15298*T1^8*T2^5 - 613*T1^9*T2^5 - 
      10324*T1^10*T2^5 - 1406*T1^11*T2^5 + 2149*T2^6 + 13468*T1*T2^6 - 
      7762*T1^2*T2^6 - 14797*T1^3*T2^6 + 21935*T1^4*T2^6 - 7080*T1^5*T2^6 + 
      4164*T1^6*T2^6 + 7536*T1^7*T2^6 - 997*T1^8*T2^6 - 12487*T1^9*T2^6 + 
      10490*T1^10*T2^6 + 4396*T1^11*T2^6 + 91*T1^12*T2^6 - 6110*T1*T2^7 - 
      8308*T1^2*T2^7 + 19547*T1^3*T2^7 - 7634*T1^4*T2^7 - 10061*T1^5*T2^7 + 
      7536*T1^6*T2^7 - 6198*T1^7*T2^7 - 8297*T1^8*T2^7 + 14416*T1^9*T2^7 - 
      3343*T1^10*T2^7 - 7300*T1^11*T2^7 - 230*T1^12*T2^7 + 8542*T1^2*T2^8 - 
      3500*T1^3*T2^8 - 12120*T1^4*T2^8 + 15298*T1^5*T2^8 - 997*T1^6*T2^8 - 
      8297*T1^7*T2^8 + 16643*T1^8*T2^8 - 9398*T1^9*T2^8 - 5064*T1^10*T2^8 + 
      8260*T1^11*T2^8 + 310*T1^12*T2^8 - 7514*T1^3*T2^9 + 10612*T1^4*T2^9 - 
      613*T1^5*T2^9 - 12487*T1^6*T2^9 + 14416*T1^7*T2^9 - 9398*T1^8*T2^9 - 
      3583*T1^9*T2^9 + 11357*T1^10*T2^9 - 7028*T1^11*T2^9 - 311*T1^12*T2^9 + 
      4426*T1^4*T2^10 - 10324*T1^5*T2^10 + 10490*T1^6*T2^10 - 
      3343*T1^7*T2^10 - 5064*T1^8*T2^10 + 11357*T1^9*T2^10 - 
      10090*T1^10*T2^10 + 3788*T1^11*T2^10 + 310*T1^12*T2^10 - 
      1406*T1^5*T2^11 + 4396*T1^6*T2^11 - 7300*T1^7*T2^11 + 8260*T1^8*T2^11 - 
      7028*T1^9*T2^11 + 3788*T1^10*T2^11 - 812*T1^11*T2^11 - 
      230*T1^12*T2^11 + 91*T1^6*T2^12 - 230*T1^7*T2^12 + 310*T1^8*T2^12 - 
      311*T1^9*T2^12 + 310*T1^10*T2^12 - 230*T1^11*T2^12 + 91*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 829] -> 
  {-((2 - 11*T + 25*T^2 - 37*T^3 + 41*T^4 - 37*T^5 + 25*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-57 + 311*T1 - 699*T1^2 + 1024*T1^3 - 1129*T1^4 + 1024*T1^5 - 
      699*T1^6 + 311*T1^7 - 57*T1^8 + 311*T2 - 1434*T1*T2 + 2379*T1^2*T2 - 
      2355*T1^3*T2 + 1404*T1^4*T2 - 312*T1^5*T2 - 991*T1^6*T2 + 
      1587*T1^7*T2 - 1148*T1^8*T2 + 267*T1^9*T2 - 699*T2^2 + 2379*T1*T2^2 - 
      1227*T1^2*T2^2 - 2456*T1^3*T2^2 + 6181*T1^4*T2^2 - 7435*T1^5*T2^2 + 
      7781*T1^6*T2^2 - 5056*T1^7*T2^2 + 1073*T1^8*T2^2 + 1279*T1^9*T2^2 - 
      499*T1^10*T2^2 + 1024*T2^3 - 2355*T1*T2^3 - 2456*T1^2*T2^3 + 
      7601*T1^3*T2^3 - 8764*T1^4*T2^3 + 5074*T1^5*T2^3 - 2612*T1^6*T2^3 - 
      3258*T1^7*T2^3 + 6359*T1^8*T2^3 - 4431*T1^9*T2^3 - 463*T1^10*T2^3 + 
      580*T1^11*T2^3 - 1129*T2^4 + 1404*T1*T2^4 + 6181*T1^2*T2^4 - 
      8764*T1^3*T2^4 + 5762*T1^4*T2^4 - 267*T1^5*T2^4 + 418*T1^6*T2^4 + 
      4229*T1^7*T2^4 - 2610*T1^8*T2^4 - 2178*T1^9*T2^4 + 5427*T1^10*T2^4 - 
      576*T1^11*T2^4 - 473*T1^12*T2^4 + 1024*T2^5 - 312*T1*T2^5 - 
      7435*T1^2*T2^5 + 5074*T1^3*T2^5 - 267*T1^4*T2^5 - 2762*T1^5*T2^5 - 
      1310*T1^6*T2^5 - 2894*T1^7*T2^5 - 1338*T1^8*T2^5 + 4030*T1^9*T2^5 - 
      3036*T1^10*T2^5 - 3652*T1^11*T2^5 + 1052*T1^12*T2^5 + 284*T1^13*T2^5 - 
      699*T2^6 - 991*T1*T2^6 + 7781*T1^2*T2^6 - 2612*T1^3*T2^6 + 
      418*T1^4*T2^6 - 1310*T1^5*T2^6 + 5780*T1^6*T2^6 + 844*T1^7*T2^6 + 
      3152*T1^8*T2^6 - 2218*T1^9*T2^6 - 368*T1^10*T2^6 + 4438*T1^11*T2^6 + 
      1473*T1^12*T2^6 - 1035*T1^13*T2^6 - 99*T1^14*T2^6 + 311*T2^7 + 
      1587*T1*T2^7 - 5056*T1^2*T2^7 - 3258*T1^3*T2^7 + 4229*T1^4*T2^7 - 
      2894*T1^5*T2^7 + 844*T1^6*T2^7 - 6763*T1^7*T2^7 - 537*T1^8*T2^7 + 
      373*T1^9*T2^7 + 42*T1^10*T2^7 - 864*T1^11*T2^7 - 4444*T1^12*T2^7 + 
      669*T1^13*T2^7 + 531*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      1148*T1*T2^8 + 1073*T1^2*T2^8 + 6359*T1^3*T2^8 - 2610*T1^4*T2^8 - 
      1338*T1^5*T2^8 + 3152*T1^6*T2^8 - 537*T1^7*T2^8 + 8328*T1^8*T2^8 - 
      5383*T1^9*T2^8 + 3402*T1^10*T2^8 - 2282*T1^11*T2^8 + 4222*T1^12*T2^8 + 
      1301*T1^13*T2^8 - 1113*T1^14*T2^8 - 48*T1^15*T2^8 + 7*T1^16*T2^8 + 
      267*T1*T2^9 + 1279*T1^2*T2^9 - 4431*T1^3*T2^9 - 2178*T1^4*T2^9 + 
      4030*T1^5*T2^9 - 2218*T1^6*T2^9 + 373*T1^7*T2^9 - 5383*T1^8*T2^9 + 
      843*T1^9*T2^9 - 98*T1^10*T2^9 + 718*T1^11*T2^9 - 1063*T1^12*T2^9 - 
      3364*T1^13*T2^9 + 1294*T1^14*T2^9 + 223*T1^15*T2^9 - 41*T1^16*T2^9 - 
      499*T1^2*T2^10 - 463*T1^3*T2^10 + 5427*T1^4*T2^10 - 3036*T1^5*T2^10 - 
      368*T1^6*T2^10 + 42*T1^7*T2^10 + 3402*T1^8*T2^10 - 98*T1^9*T2^10 + 
      774*T1^10*T2^10 - 866*T1^11*T2^10 - 1154*T1^12*T2^10 + 
      4014*T1^13*T2^10 - 881*T1^14*T2^10 - 507*T1^15*T2^10 + 
      101*T1^16*T2^10 + 580*T1^3*T2^11 - 576*T1^4*T2^11 - 3652*T1^5*T2^11 + 
      4438*T1^6*T2^11 - 864*T1^7*T2^11 - 2282*T1^8*T2^11 + 718*T1^9*T2^11 - 
      866*T1^10*T2^11 - 858*T1^11*T2^11 + 3433*T1^12*T2^11 - 
      3672*T1^13*T2^11 + 131*T1^14*T2^11 + 788*T1^15*T2^11 - 
      160*T1^16*T2^11 - 473*T1^4*T2^12 + 1052*T1^5*T2^12 + 1473*T1^6*T2^12 - 
      4444*T1^7*T2^12 + 4222*T1^8*T2^12 - 1063*T1^9*T2^12 - 
      1154*T1^10*T2^12 + 3433*T1^11*T2^12 - 4150*T1^12*T2^12 + 
      2142*T1^13*T2^12 + 719*T1^14*T2^12 - 928*T1^15*T2^12 + 
      183*T1^16*T2^12 + 284*T1^5*T2^13 - 1035*T1^6*T2^13 + 669*T1^7*T2^13 + 
      1301*T1^8*T2^13 - 3364*T1^9*T2^13 + 4014*T1^10*T2^13 - 
      3672*T1^11*T2^13 + 2142*T1^12*T2^13 + 59*T1^13*T2^13 - 
      1306*T1^14*T2^13 + 857*T1^15*T2^13 - 160*T1^16*T2^13 - 99*T1^6*T2^14 + 
      531*T1^7*T2^14 - 1113*T1^8*T2^14 + 1294*T1^9*T2^14 - 881*T1^10*T2^14 + 
      131*T1^11*T2^14 + 719*T1^12*T2^14 - 1306*T1^13*T2^14 + 
      1187*T1^14*T2^14 - 569*T1^15*T2^14 + 101*T1^16*T2^14 + 3*T1^7*T2^15 - 
      48*T1^8*T2^15 + 223*T1^9*T2^15 - 507*T1^10*T2^15 + 788*T1^11*T2^15 - 
      928*T1^12*T2^15 + 857*T1^13*T2^15 - 569*T1^14*T2^15 + 238*T1^15*T2^15 - 
      41*T1^16*T2^15 + 7*T1^8*T2^16 - 41*T1^9*T2^16 + 101*T1^10*T2^16 - 
      160*T1^11*T2^16 + 183*T1^12*T2^16 - 160*T1^13*T2^16 + 101*T1^14*T2^16 - 
      41*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 830] -> 
  {(2 - 9*T + 24*T^2 - 42*T^3 + 51*T^4 - 42*T^5 + 24*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 141*T1 - 377*T1^2 + 660*T1^3 - 801*T1^4 + 660*T1^5 - 
     377*T1^6 + 141*T1^7 - 31*T1^8 + 141*T2 - 536*T1*T2 + 1237*T1^2*T2 - 
     1723*T1^3*T2 + 1400*T1^4*T2 - 274*T1^5*T2 - 535*T1^6*T2 + 643*T1^7*T2 - 
     338*T1^8*T2 + 105*T1^9*T2 - 377*T2^2 + 1237*T1*T2^2 - 2595*T1^2*T2^2 + 
     3037*T1^3*T2^2 - 1756*T1^4*T2^2 - 461*T1^5*T2^2 + 836*T1^6*T2^2 - 
     131*T1^7*T2^2 - 483*T1^8*T2^2 + 373*T1^9*T2^2 - 185*T1^10*T2^2 + 
     660*T2^3 - 1723*T1*T2^3 + 3037*T1^2*T2^3 - 2120*T1^3*T2^3 - 
     742*T1^4*T2^3 + 2940*T1^5*T2^3 - 516*T1^6*T2^3 - 1606*T1^7*T2^3 + 
     1840*T1^8*T2^3 - 635*T1^9*T2^3 + 113*T1^10*T2^3 + 156*T1^11*T2^3 - 
     801*T2^4 + 1400*T1*T2^4 - 1756*T1^2*T2^4 - 742*T1^3*T2^4 + 
     2938*T1^4*T2^4 - 1332*T1^5*T2^4 - 5322*T1^6*T2^4 + 5616*T1^7*T2^4 - 
     2018*T1^8*T2^4 - 1246*T1^9*T2^4 + 1232*T1^10*T2^4 - 760*T1^11*T2^4 + 
     15*T1^12*T2^4 + 660*T2^5 - 274*T1*T2^5 - 461*T1^2*T2^5 + 
     2940*T1^3*T2^5 - 1332*T1^4*T2^5 - 5309*T1^5*T2^5 + 11873*T1^6*T2^5 - 
     4849*T1^7*T2^5 - 2921*T1^8*T2^5 + 4572*T1^9*T2^5 - 1380*T1^10*T2^5 - 
     164*T1^11*T2^5 + 752*T1^12*T2^5 - 180*T1^13*T2^5 - 377*T2^6 - 
     535*T1*T2^6 + 836*T1^2*T2^6 - 516*T1^3*T2^6 - 5322*T1^4*T2^6 + 
     11873*T1^5*T2^6 - 9617*T1^6*T2^6 - 6515*T1^7*T2^6 + 12919*T1^8*T2^6 - 
     6919*T1^9*T2^6 - 282*T1^10*T2^6 + 1644*T1^11*T2^6 - 964*T1^12*T2^6 - 
     103*T1^13*T2^6 + 199*T1^14*T2^6 + 141*T2^7 + 643*T1*T2^7 - 
     131*T1^2*T2^7 - 1606*T1^3*T2^7 + 5616*T1^4*T2^7 - 4849*T1^5*T2^7 - 
     6515*T1^6*T2^7 + 20008*T1^7*T2^7 - 13868*T1^8*T2^7 - 2087*T1^9*T2^7 + 
     7733*T1^10*T2^7 - 4464*T1^11*T2^7 + 698*T1^12*T2^7 + 517*T1^13*T2^7 - 
     383*T1^14*T2^7 - 111*T1^15*T2^7 - 31*T2^8 - 338*T1*T2^8 - 
     483*T1^2*T2^8 + 1840*T1^3*T2^8 - 2018*T1^4*T2^8 - 2921*T1^5*T2^8 + 
     12919*T1^6*T2^8 - 13868*T1^7*T2^8 - 1776*T1^8*T2^8 + 15760*T1^9*T2^8 - 
     10253*T1^10*T2^8 + 1369*T1^11*T2^8 + 2746*T1^12*T2^8 - 1520*T1^13*T2^8 + 
     519*T1^14*T2^8 + 346*T1^15*T2^8 + 33*T1^16*T2^8 + 105*T1*T2^9 + 
     373*T1^2*T2^9 - 635*T1^3*T2^9 - 1246*T1^4*T2^9 + 4572*T1^5*T2^9 - 
     6919*T1^6*T2^9 - 2087*T1^7*T2^9 + 15760*T1^8*T2^9 - 18116*T1^9*T2^9 + 
     2341*T1^10*T2^9 + 5663*T1^11*T2^9 - 5508*T1^12*T2^9 + 1058*T1^13*T2^9 + 
     13*T1^14*T2^9 - 653*T1^15*T2^9 - 147*T1^16*T2^9 - 185*T1^2*T2^10 + 
     113*T1^3*T2^10 + 1232*T1^4*T2^10 - 1380*T1^5*T2^10 - 282*T1^6*T2^10 + 
     7733*T1^7*T2^10 - 10253*T1^8*T2^10 + 2341*T1^9*T2^10 + 
     12283*T1^10*T2^10 - 11059*T1^11*T2^10 + 4758*T1^12*T2^10 + 
     780*T1^13*T2^10 - 568*T1^14*T2^10 + 545*T1^15*T2^10 + 391*T1^16*T2^10 + 
     156*T1^3*T2^11 - 760*T1^4*T2^11 - 164*T1^5*T2^11 + 1644*T1^6*T2^11 - 
     4464*T1^7*T2^11 + 1369*T1^8*T2^11 + 5663*T1^9*T2^11 - 
     11059*T1^10*T2^11 + 3757*T1^11*T2^11 + 1440*T1^12*T2^11 - 
     2676*T1^13*T2^11 + 133*T1^14*T2^11 + 266*T1^15*T2^11 - 684*T1^16*T2^11 + 
     15*T1^4*T2^12 + 752*T1^5*T2^12 - 964*T1^6*T2^12 + 698*T1^7*T2^12 + 
     2746*T1^8*T2^12 - 5508*T1^9*T2^12 + 4758*T1^10*T2^12 + 
     1440*T1^11*T2^12 - 2210*T1^12*T2^12 + 194*T1^13*T2^12 + 
     2024*T1^14*T2^12 - 1408*T1^15*T2^12 + 831*T1^16*T2^12 - 180*T1^5*T2^13 - 
     103*T1^6*T2^13 + 517*T1^7*T2^13 - 1520*T1^8*T2^13 + 1058*T1^9*T2^13 + 
     780*T1^10*T2^13 - 2676*T1^11*T2^13 + 194*T1^12*T2^13 + 
     2440*T1^13*T2^13 - 3155*T1^14*T2^13 + 1733*T1^15*T2^13 - 
     684*T1^16*T2^13 + 199*T1^6*T2^14 - 383*T1^7*T2^14 + 519*T1^8*T2^14 + 
     13*T1^9*T2^14 - 568*T1^10*T2^14 + 133*T1^11*T2^14 + 2024*T1^12*T2^14 - 
     3155*T1^13*T2^14 + 2631*T1^14*T2^14 - 1247*T1^15*T2^14 + 
     391*T1^16*T2^14 - 111*T1^7*T2^15 + 346*T1^8*T2^15 - 653*T1^9*T2^15 + 
     545*T1^10*T2^15 + 266*T1^11*T2^15 - 1408*T1^12*T2^15 + 
     1733*T1^13*T2^15 - 1247*T1^14*T2^15 + 544*T1^15*T2^15 - 
     147*T1^16*T2^15 + 33*T1^8*T2^16 - 147*T1^9*T2^16 + 391*T1^10*T2^16 - 
     684*T1^11*T2^16 + 831*T1^12*T2^16 - 684*T1^13*T2^16 + 391*T1^14*T2^16 - 
     147*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 831] -> 
  {(2 - 9*T + 24*T^2 - 42*T^3 + 51*T^4 - 42*T^5 + 24*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 141*T1 - 377*T1^2 + 660*T1^3 - 801*T1^4 + 660*T1^5 - 
     377*T1^6 + 141*T1^7 - 31*T1^8 + 141*T2 - 536*T1*T2 + 1237*T1^2*T2 - 
     1723*T1^3*T2 + 1400*T1^4*T2 - 274*T1^5*T2 - 535*T1^6*T2 + 643*T1^7*T2 - 
     338*T1^8*T2 + 105*T1^9*T2 - 377*T2^2 + 1237*T1*T2^2 - 2595*T1^2*T2^2 + 
     3037*T1^3*T2^2 - 1759*T1^4*T2^2 - 455*T1^5*T2^2 + 833*T1^6*T2^2 - 
     131*T1^7*T2^2 - 483*T1^8*T2^2 + 373*T1^9*T2^2 - 185*T1^10*T2^2 + 
     660*T2^3 - 1723*T1*T2^3 + 3037*T1^2*T2^3 - 2114*T1^3*T2^3 - 
     748*T1^4*T2^3 + 2940*T1^5*T2^3 - 516*T1^6*T2^3 - 1612*T1^7*T2^3 + 
     1846*T1^8*T2^3 - 635*T1^9*T2^3 + 113*T1^10*T2^3 + 156*T1^11*T2^3 - 
     801*T2^4 + 1400*T1*T2^4 - 1759*T1^2*T2^4 - 748*T1^3*T2^4 + 
     2944*T1^4*T2^4 - 1332*T1^5*T2^4 - 5316*T1^6*T2^4 + 5616*T1^7*T2^4 - 
     2012*T1^8*T2^4 - 1252*T1^9*T2^4 + 1229*T1^10*T2^4 - 760*T1^11*T2^4 + 
     15*T1^12*T2^4 + 660*T2^5 - 274*T1*T2^5 - 455*T1^2*T2^5 + 
     2940*T1^3*T2^5 - 1332*T1^4*T2^5 - 5309*T1^5*T2^5 + 11867*T1^6*T2^5 - 
     4855*T1^7*T2^5 - 2921*T1^8*T2^5 + 4572*T1^9*T2^5 - 1380*T1^10*T2^5 - 
     158*T1^11*T2^5 + 752*T1^12*T2^5 - 180*T1^13*T2^5 - 377*T2^6 - 
     535*T1*T2^6 + 833*T1^2*T2^6 - 516*T1^3*T2^6 - 5316*T1^4*T2^6 + 
     11867*T1^5*T2^6 - 9617*T1^6*T2^6 - 6509*T1^7*T2^6 + 12919*T1^8*T2^6 - 
     6925*T1^9*T2^6 - 276*T1^10*T2^6 + 1644*T1^11*T2^6 - 967*T1^12*T2^6 - 
     103*T1^13*T2^6 + 199*T1^14*T2^6 + 141*T2^7 + 643*T1*T2^7 - 
     131*T1^2*T2^7 - 1612*T1^3*T2^7 + 5616*T1^4*T2^7 - 4855*T1^5*T2^7 - 
     6509*T1^6*T2^7 + 20014*T1^7*T2^7 - 13862*T1^8*T2^7 - 2081*T1^9*T2^7 + 
     7727*T1^10*T2^7 - 4464*T1^11*T2^7 + 692*T1^12*T2^7 + 517*T1^13*T2^7 - 
     383*T1^14*T2^7 - 111*T1^15*T2^7 - 31*T2^8 - 338*T1*T2^8 - 
     483*T1^2*T2^8 + 1846*T1^3*T2^8 - 2012*T1^4*T2^8 - 2921*T1^5*T2^8 + 
     12919*T1^6*T2^8 - 13862*T1^7*T2^8 - 1812*T1^8*T2^8 + 15766*T1^9*T2^8 - 
     10253*T1^10*T2^8 + 1369*T1^11*T2^8 + 2752*T1^12*T2^8 - 1514*T1^13*T2^8 + 
     519*T1^14*T2^8 + 346*T1^15*T2^8 + 33*T1^16*T2^8 + 105*T1*T2^9 + 
     373*T1^2*T2^9 - 635*T1^3*T2^9 - 1252*T1^4*T2^9 + 4572*T1^5*T2^9 - 
     6925*T1^6*T2^9 - 2081*T1^7*T2^9 + 15766*T1^8*T2^9 - 18110*T1^9*T2^9 + 
     2347*T1^10*T2^9 + 5657*T1^11*T2^9 - 5508*T1^12*T2^9 + 1052*T1^13*T2^9 + 
     13*T1^14*T2^9 - 653*T1^15*T2^9 - 147*T1^16*T2^9 - 185*T1^2*T2^10 + 
     113*T1^3*T2^10 + 1229*T1^4*T2^10 - 1380*T1^5*T2^10 - 276*T1^6*T2^10 + 
     7727*T1^7*T2^10 - 10253*T1^8*T2^10 + 2347*T1^9*T2^10 + 
     12283*T1^10*T2^10 - 11065*T1^11*T2^10 + 4764*T1^12*T2^10 + 
     780*T1^13*T2^10 - 571*T1^14*T2^10 + 545*T1^15*T2^10 + 391*T1^16*T2^10 + 
     156*T1^3*T2^11 - 760*T1^4*T2^11 - 158*T1^5*T2^11 + 1644*T1^6*T2^11 - 
     4464*T1^7*T2^11 + 1369*T1^8*T2^11 + 5657*T1^9*T2^11 - 
     11065*T1^10*T2^11 + 3757*T1^11*T2^11 + 1440*T1^12*T2^11 - 
     2676*T1^13*T2^11 + 139*T1^14*T2^11 + 266*T1^15*T2^11 - 684*T1^16*T2^11 + 
     15*T1^4*T2^12 + 752*T1^5*T2^12 - 967*T1^6*T2^12 + 692*T1^7*T2^12 + 
     2752*T1^8*T2^12 - 5508*T1^9*T2^12 + 4764*T1^10*T2^12 + 
     1440*T1^11*T2^12 - 2204*T1^12*T2^12 + 188*T1^13*T2^12 + 
     2021*T1^14*T2^12 - 1408*T1^15*T2^12 + 831*T1^16*T2^12 - 180*T1^5*T2^13 - 
     103*T1^6*T2^13 + 517*T1^7*T2^13 - 1514*T1^8*T2^13 + 1052*T1^9*T2^13 + 
     780*T1^10*T2^13 - 2676*T1^11*T2^13 + 188*T1^12*T2^13 + 
     2446*T1^13*T2^13 - 3155*T1^14*T2^13 + 1733*T1^15*T2^13 - 
     684*T1^16*T2^13 + 199*T1^6*T2^14 - 383*T1^7*T2^14 + 519*T1^8*T2^14 + 
     13*T1^9*T2^14 - 571*T1^10*T2^14 + 139*T1^11*T2^14 + 2021*T1^12*T2^14 - 
     3155*T1^13*T2^14 + 2631*T1^14*T2^14 - 1247*T1^15*T2^14 + 
     391*T1^16*T2^14 - 111*T1^7*T2^15 + 346*T1^8*T2^15 - 653*T1^9*T2^15 + 
     545*T1^10*T2^15 + 266*T1^11*T2^15 - 1408*T1^12*T2^15 + 
     1733*T1^13*T2^15 - 1247*T1^14*T2^15 + 544*T1^15*T2^15 - 
     147*T1^16*T2^15 + 33*T1^8*T2^16 - 147*T1^9*T2^16 + 391*T1^10*T2^16 - 
     684*T1^11*T2^16 + 831*T1^12*T2^16 - 684*T1^13*T2^16 + 391*T1^14*T2^16 - 
     147*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 832] -> 
  {-((2 - 11*T + 25*T^2 - 37*T^3 + 41*T^4 - 37*T^5 + 25*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-57 + 311*T1 - 699*T1^2 + 1024*T1^3 - 1129*T1^4 + 1024*T1^5 - 
      699*T1^6 + 311*T1^7 - 57*T1^8 + 311*T2 - 1434*T1*T2 + 2379*T1^2*T2 - 
      2355*T1^3*T2 + 1404*T1^4*T2 - 312*T1^5*T2 - 991*T1^6*T2 + 
      1587*T1^7*T2 - 1148*T1^8*T2 + 267*T1^9*T2 - 699*T2^2 + 2379*T1*T2^2 - 
      1227*T1^2*T2^2 - 2456*T1^3*T2^2 + 6178*T1^4*T2^2 - 7429*T1^5*T2^2 + 
      7778*T1^6*T2^2 - 5056*T1^7*T2^2 + 1073*T1^8*T2^2 + 1279*T1^9*T2^2 - 
      499*T1^10*T2^2 + 1024*T2^3 - 2355*T1*T2^3 - 2456*T1^2*T2^3 + 
      7607*T1^3*T2^3 - 8770*T1^4*T2^3 + 5074*T1^5*T2^3 - 2612*T1^6*T2^3 - 
      3264*T1^7*T2^3 + 6365*T1^8*T2^3 - 4431*T1^9*T2^3 - 463*T1^10*T2^3 + 
      580*T1^11*T2^3 - 1129*T2^4 + 1404*T1*T2^4 + 6178*T1^2*T2^4 - 
      8770*T1^3*T2^4 + 5768*T1^4*T2^4 - 267*T1^5*T2^4 + 424*T1^6*T2^4 + 
      4229*T1^7*T2^4 - 2604*T1^8*T2^4 - 2184*T1^9*T2^4 + 5424*T1^10*T2^4 - 
      576*T1^11*T2^4 - 473*T1^12*T2^4 + 1024*T2^5 - 312*T1*T2^5 - 
      7429*T1^2*T2^5 + 5074*T1^3*T2^5 - 267*T1^4*T2^5 - 2762*T1^5*T2^5 - 
      1316*T1^6*T2^5 - 2900*T1^7*T2^5 - 1338*T1^8*T2^5 + 4030*T1^9*T2^5 - 
      3036*T1^10*T2^5 - 3646*T1^11*T2^5 + 1052*T1^12*T2^5 + 284*T1^13*T2^5 - 
      699*T2^6 - 991*T1*T2^6 + 7778*T1^2*T2^6 - 2612*T1^3*T2^6 + 
      424*T1^4*T2^6 - 1316*T1^5*T2^6 + 5780*T1^6*T2^6 + 850*T1^7*T2^6 + 
      3152*T1^8*T2^6 - 2224*T1^9*T2^6 - 362*T1^10*T2^6 + 4438*T1^11*T2^6 + 
      1470*T1^12*T2^6 - 1035*T1^13*T2^6 - 99*T1^14*T2^6 + 311*T2^7 + 
      1587*T1*T2^7 - 5056*T1^2*T2^7 - 3264*T1^3*T2^7 + 4229*T1^4*T2^7 - 
      2900*T1^5*T2^7 + 850*T1^6*T2^7 - 6757*T1^7*T2^7 - 531*T1^8*T2^7 + 
      379*T1^9*T2^7 + 36*T1^10*T2^7 - 864*T1^11*T2^7 - 4450*T1^12*T2^7 + 
      669*T1^13*T2^7 + 531*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      1148*T1*T2^8 + 1073*T1^2*T2^8 + 6365*T1^3*T2^8 - 2604*T1^4*T2^8 - 
      1338*T1^5*T2^8 + 3152*T1^6*T2^8 - 531*T1^7*T2^8 + 8292*T1^8*T2^8 - 
      5377*T1^9*T2^8 + 3402*T1^10*T2^8 - 2282*T1^11*T2^8 + 4228*T1^12*T2^8 + 
      1307*T1^13*T2^8 - 1113*T1^14*T2^8 - 48*T1^15*T2^8 + 7*T1^16*T2^8 + 
      267*T1*T2^9 + 1279*T1^2*T2^9 - 4431*T1^3*T2^9 - 2184*T1^4*T2^9 + 
      4030*T1^5*T2^9 - 2224*T1^6*T2^9 + 379*T1^7*T2^9 - 5377*T1^8*T2^9 + 
      849*T1^9*T2^9 - 92*T1^10*T2^9 + 712*T1^11*T2^9 - 1063*T1^12*T2^9 - 
      3370*T1^13*T2^9 + 1294*T1^14*T2^9 + 223*T1^15*T2^9 - 41*T1^16*T2^9 - 
      499*T1^2*T2^10 - 463*T1^3*T2^10 + 5424*T1^4*T2^10 - 3036*T1^5*T2^10 - 
      362*T1^6*T2^10 + 36*T1^7*T2^10 + 3402*T1^8*T2^10 - 92*T1^9*T2^10 + 
      774*T1^10*T2^10 - 872*T1^11*T2^10 - 1148*T1^12*T2^10 + 
      4014*T1^13*T2^10 - 884*T1^14*T2^10 - 507*T1^15*T2^10 + 
      101*T1^16*T2^10 + 580*T1^3*T2^11 - 576*T1^4*T2^11 - 3646*T1^5*T2^11 + 
      4438*T1^6*T2^11 - 864*T1^7*T2^11 - 2282*T1^8*T2^11 + 712*T1^9*T2^11 - 
      872*T1^10*T2^11 - 858*T1^11*T2^11 + 3433*T1^12*T2^11 - 
      3672*T1^13*T2^11 + 137*T1^14*T2^11 + 788*T1^15*T2^11 - 
      160*T1^16*T2^11 - 473*T1^4*T2^12 + 1052*T1^5*T2^12 + 1470*T1^6*T2^12 - 
      4450*T1^7*T2^12 + 4228*T1^8*T2^12 - 1063*T1^9*T2^12 - 
      1148*T1^10*T2^12 + 3433*T1^11*T2^12 - 4144*T1^12*T2^12 + 
      2136*T1^13*T2^12 + 716*T1^14*T2^12 - 928*T1^15*T2^12 + 
      183*T1^16*T2^12 + 284*T1^5*T2^13 - 1035*T1^6*T2^13 + 669*T1^7*T2^13 + 
      1307*T1^8*T2^13 - 3370*T1^9*T2^13 + 4014*T1^10*T2^13 - 
      3672*T1^11*T2^13 + 2136*T1^12*T2^13 + 65*T1^13*T2^13 - 
      1306*T1^14*T2^13 + 857*T1^15*T2^13 - 160*T1^16*T2^13 - 99*T1^6*T2^14 + 
      531*T1^7*T2^14 - 1113*T1^8*T2^14 + 1294*T1^9*T2^14 - 884*T1^10*T2^14 + 
      137*T1^11*T2^14 + 716*T1^12*T2^14 - 1306*T1^13*T2^14 + 
      1187*T1^14*T2^14 - 569*T1^15*T2^14 + 101*T1^16*T2^14 + 3*T1^7*T2^15 - 
      48*T1^8*T2^15 + 223*T1^9*T2^15 - 507*T1^10*T2^15 + 788*T1^11*T2^15 - 
      928*T1^12*T2^15 + 857*T1^13*T2^15 - 569*T1^14*T2^15 + 238*T1^15*T2^15 - 
      41*T1^16*T2^15 + 7*T1^8*T2^16 - 41*T1^9*T2^16 + 101*T1^10*T2^16 - 
      160*T1^11*T2^16 + 183*T1^12*T2^16 - 160*T1^13*T2^16 + 101*T1^14*T2^16 - 
      41*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 833] -> 
  {-((2 - 9*T + 19*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 388*T1^2 + 592*T1^3 - 673*T1^4 + 592*T1^5 - 
      388*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1078*T1^2*T2 - 
      1258*T1^3*T2 + 886*T1^4*T2 - 230*T1^5*T2 - 394*T1^6*T2 + 574*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 388*T2^2 + 1078*T1*T2^2 - 928*T1^2*T2^2 + 
      371*T1^3*T2^2 + 1016*T1^4*T2^2 - 1940*T1^5*T2^2 + 2080*T1^6*T2^2 - 
      1149*T1^7*T2^2 + 364*T1^8*T2^2 + 394*T1^9*T2^2 - 236*T1^10*T2^2 + 
      592*T2^3 - 1258*T1*T2^3 + 371*T1^2*T2^3 + 231*T1^3*T2^3 - 
      1687*T1^4*T2^3 + 1548*T1^5*T2^3 - 702*T1^6*T2^3 - 787*T1^7*T2^3 + 
      837*T1^8*T2^3 - 1054*T1^9*T2^3 - 34*T1^10*T2^3 + 244*T1^11*T2^3 - 
      673*T2^4 + 886*T1*T2^4 + 1016*T1^2*T2^4 - 1687*T1^3*T2^4 + 
      3649*T1^4*T2^4 - 2831*T1^5*T2^4 + 1999*T1^6*T2^4 - 803*T1^7*T2^4 + 
      1393*T1^8*T2^4 - 469*T1^9*T2^4 + 1334*T1^10*T2^4 - 446*T1^11*T2^4 - 
      145*T1^12*T2^4 + 592*T2^5 - 230*T1*T2^5 - 1940*T1^2*T2^5 + 
      1548*T1^3*T2^5 - 2831*T1^4*T2^5 + 704*T1^5*T2^5 - 373*T1^6*T2^5 + 
      113*T1^7*T2^5 - 1280*T1^8*T2^5 - 208*T1^9*T2^5 - 910*T1^10*T2^5 - 
      533*T1^11*T2^5 + 598*T1^12*T2^5 + 12*T1^13*T2^5 - 388*T2^6 - 
      394*T1*T2^6 + 2080*T1^2*T2^6 - 702*T1^3*T2^6 + 1999*T1^4*T2^6 - 
      373*T1^5*T2^6 + 1818*T1^6*T2^6 - 2218*T1^7*T2^6 + 2370*T1^8*T2^6 + 
      299*T1^9*T2^6 + 565*T1^10*T2^6 + 1236*T1^11*T2^6 - 476*T1^12*T2^6 - 
      358*T1^13*T2^6 + 68*T1^14*T2^6 + 184*T2^7 + 574*T1*T2^7 - 
      1149*T1^2*T2^7 - 787*T1^3*T2^7 - 803*T1^4*T2^7 + 113*T1^5*T2^7 - 
      2218*T1^6*T2^7 + 1897*T1^7*T2^7 - 647*T1^8*T2^7 - 1597*T1^9*T2^7 - 
      T1^10*T2^7 - 1046*T1^11*T2^7 - 415*T1^12*T2^7 + 846*T1^13*T2^7 - 
      2*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 + 364*T1^2*T2^8 + 
      837*T1^3*T2^8 + 1393*T1^4*T2^8 - 1280*T1^5*T2^8 + 2370*T1^6*T2^8 - 
      647*T1^7*T2^8 - 1308*T1^8*T2^8 + 1995*T1^9*T2^8 + 8*T1^10*T2^8 + 
      548*T1^11*T2^8 + 653*T1^12*T2^8 - 489*T1^13*T2^8 - 514*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 394*T1^2*T2^9 - 
      1054*T1^3*T2^9 - 469*T1^4*T2^9 - 208*T1^5*T2^9 + 299*T1^6*T2^9 - 
      1597*T1^7*T2^9 + 1995*T1^8*T2^9 - 549*T1^9*T2^9 - 976*T1^10*T2^9 + 
      185*T1^11*T2^9 - 451*T1^12*T2^9 - 97*T1^13*T2^9 + 941*T1^14*T2^9 - 
      182*T1^15*T2^9 - 104*T1^16*T2^9 - 236*T1^2*T2^10 - 34*T1^3*T2^10 + 
      1334*T1^4*T2^10 - 910*T1^5*T2^10 + 565*T1^6*T2^10 - T1^7*T2^10 + 
      8*T1^8*T2^10 - 976*T1^9*T2^10 + 560*T1^10*T2^10 + 671*T1^11*T2^10 - 
      869*T1^12*T2^10 + 1028*T1^13*T2^10 - 1222*T1^14*T2^10 + 2*T1^15*T2^10 + 
      220*T1^16*T2^10 + 244*T1^3*T2^11 - 446*T1^4*T2^11 - 533*T1^5*T2^11 + 
      1236*T1^6*T2^11 - 1046*T1^7*T2^11 + 548*T1^8*T2^11 + 185*T1^9*T2^11 + 
      671*T1^10*T2^11 - 1436*T1^11*T2^11 + 1577*T1^12*T2^11 - 
      1222*T1^13*T2^11 + 874*T1^14*T2^11 + 382*T1^15*T2^11 - 
      336*T1^16*T2^11 - 145*T1^4*T2^12 + 598*T1^5*T2^12 - 476*T1^6*T2^12 - 
      415*T1^7*T2^12 + 653*T1^8*T2^12 - 451*T1^9*T2^12 - 869*T1^10*T2^12 + 
      1577*T1^11*T2^12 - 1603*T1^12*T2^12 + 803*T1^13*T2^12 - 
      158*T1^14*T2^12 - 734*T1^15*T2^12 + 383*T1^16*T2^12 + 12*T1^5*T2^13 - 
      358*T1^6*T2^13 + 846*T1^7*T2^13 - 489*T1^8*T2^13 - 97*T1^9*T2^13 + 
      1028*T1^10*T2^13 - 1222*T1^11*T2^13 + 803*T1^12*T2^13 + 
      117*T1^13*T2^13 - 579*T1^14*T2^13 + 866*T1^15*T2^13 - 336*T1^16*T2^13 + 
      68*T1^6*T2^14 - 2*T1^7*T2^14 - 514*T1^8*T2^14 + 941*T1^9*T2^14 - 
      1222*T1^10*T2^14 + 874*T1^11*T2^14 - 158*T1^12*T2^14 - 
      579*T1^13*T2^14 + 778*T1^14*T2^14 - 686*T1^15*T2^14 + 220*T1^16*T2^14 - 
      68*T1^7*T2^15 + 204*T1^8*T2^15 - 182*T1^9*T2^15 + 2*T1^10*T2^15 + 
      382*T1^11*T2^15 - 734*T1^12*T2^15 + 866*T1^13*T2^15 - 686*T1^14*T2^15 + 
      402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 
      220*T1^10*T2^16 - 336*T1^11*T2^16 + 383*T1^12*T2^16 - 336*T1^13*T2^16 + 
      220*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 834] -> 
  {-((4 - 19*T + 39*T^2 - 49*T^3 + 39*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-208 + 984*T1 - 2020*T1^2 + 2544*T1^3 - 2020*T1^4 + 984*T1^5 - 
      208*T1^6 + 984*T2 - 3976*T1*T2 + 6346*T1^2*T2 - 5442*T1^3*T2 + 
      1246*T1^4*T2 + 1938*T1^5*T2 - 2228*T1^6*T2 + 680*T1^7*T2 - 2020*T2^2 + 
      6346*T1*T2^2 - 5263*T1^2*T2^2 - 2599*T1^3*T2^2 + 11869*T1^4*T2^2 - 
      11959*T1^5*T2^2 + 5657*T1^6*T2^2 + 418*T1^7*T2^2 - 772*T1^8*T2^2 + 
      2544*T2^3 - 5442*T1*T2^3 - 2599*T1^2*T2^3 + 15155*T1^3*T2^3 - 
      21208*T1^4*T2^3 + 9896*T1^5*T2^3 + 3341*T1^6*T2^3 - 8488*T1^7*T2^3 + 
      2766*T1^8*T2^3 + 192*T1^9*T2^3 - 2020*T2^4 + 1246*T1*T2^4 + 
      11869*T1^2*T2^4 - 21208*T1^3*T2^4 + 16439*T1^4*T2^4 + 5735*T1^5*T2^4 - 
      17581*T1^6*T2^4 + 13386*T1^7*T2^4 + 827*T1^8*T2^4 - 3162*T1^9*T2^4 + 
      476*T1^10*T2^4 + 984*T2^5 + 1938*T1*T2^5 - 11959*T1^2*T2^5 + 
      9896*T1^3*T2^5 + 5735*T1^4*T2^5 - 26124*T1^5*T2^5 + 21850*T1^6*T2^5 - 
      2104*T1^7*T2^5 - 14228*T1^8*T2^5 + 7814*T1^9*T2^5 + 266*T1^10*T2^5 - 
      536*T1^11*T2^5 - 208*T2^6 - 2228*T1*T2^6 + 5657*T1^2*T2^6 + 
      3341*T1^3*T2^6 - 17581*T1^4*T2^6 + 21850*T1^5*T2^6 - 816*T1^6*T2^6 - 
      20694*T1^7*T2^6 + 21877*T1^8*T2^6 - 2845*T1^9*T2^6 - 5867*T1^10*T2^6 + 
      1724*T1^11*T2^6 + 176*T1^12*T2^6 + 680*T1*T2^7 + 418*T1^2*T2^7 - 
      8488*T1^3*T2^7 + 13386*T1^4*T2^7 - 2104*T1^5*T2^7 - 20694*T1^6*T2^7 + 
      27280*T1^7*T2^7 - 9943*T1^8*T2^7 - 10738*T1^9*T2^7 + 11285*T1^10*T2^7 - 
      1254*T1^11*T2^7 - 840*T1^12*T2^7 - 772*T1^2*T2^8 + 2766*T1^3*T2^8 + 
      827*T1^4*T2^8 - 14228*T1^5*T2^8 + 21877*T1^6*T2^8 - 9943*T1^7*T2^8 - 
      12143*T1^8*T2^8 + 20366*T1^9*T2^8 - 10215*T1^10*T2^8 - 
      1642*T1^11*T2^8 + 1724*T1^12*T2^8 + 192*T1^3*T2^9 - 3162*T1^4*T2^9 + 
      7814*T1^5*T2^9 - 2845*T1^6*T2^9 - 10738*T1^7*T2^9 + 20366*T1^8*T2^9 - 
      14659*T1^9*T2^9 + 1925*T1^10*T2^9 + 5046*T1^11*T2^9 - 2160*T1^12*T2^9 + 
      476*T1^4*T2^10 + 266*T1^5*T2^10 - 5867*T1^6*T2^10 + 11285*T1^7*T2^10 - 
      10215*T1^8*T2^10 + 1925*T1^9*T2^10 + 5053*T1^10*T2^10 - 
      5662*T1^11*T2^10 + 1724*T1^12*T2^10 - 536*T1^5*T2^11 + 
      1724*T1^6*T2^11 - 1254*T1^7*T2^11 - 1642*T1^8*T2^11 + 5046*T1^9*T2^11 - 
      5662*T1^10*T2^11 + 3472*T1^11*T2^11 - 840*T1^12*T2^11 + 
      176*T1^6*T2^12 - 840*T1^7*T2^12 + 1724*T1^8*T2^12 - 2160*T1^9*T2^12 + 
      1724*T1^10*T2^12 - 840*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 835] -> 
  {(1 - 3*T + 6*T^2 - 9*T^3 + 11*T^4 - 11*T^5 + 11*T^6 - 9*T^7 + 6*T^8 - 
     3*T^9 + T^10)/T^5, (-4 + 12*T1 - 24*T1^2 + 36*T1^3 - 44*T1^4 + 44*T1^5 - 
     44*T1^6 + 36*T1^7 - 24*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 
     45*T1^2*T2 - 54*T1^3*T2 + 51*T1^4*T2 - 33*T1^5*T2 + 33*T1^6*T2 - 
     9*T1^7*T2 - 9*T1^8*T2 + 18*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 
     24*T2^2 + 45*T1*T2^2 - 74*T1^2*T2^2 + 88*T1^3*T2^2 - 91*T1^4*T2^2 + 
     76*T1^5*T2^2 - 102*T1^6*T2^2 + 52*T1^7*T2^2 - 31*T1^8*T2^2 + 
     16*T1^9*T2^2 - 14*T1^10*T2^2 + 9*T1^11*T2^2 - 12*T1^12*T2^2 + 36*T2^3 - 
     54*T1*T2^3 + 88*T1^2*T2^3 - 97*T1^3*T2^3 + 100*T1^4*T2^3 - 
     81*T1^5*T2^3 + 123*T1^6*T2^3 - 21*T1^7*T2^3 + 18*T1^8*T2^3 - 
     8*T1^9*T2^3 + 11*T1^10*T2^3 - 2*T1^11*T2^3 + 9*T1^12*T2^3 + 
     9*T1^13*T2^3 - 44*T2^4 + 51*T1*T2^4 - 91*T1^2*T2^4 + 100*T1^3*T2^4 - 
     115*T1^4*T2^4 + 102*T1^5*T2^4 - 158*T1^6*T2^4 + 5*T1^7*T2^4 - 
     46*T1^8*T2^4 + 20*T1^9*T2^4 + T1^10*T2^4 - 26*T1^11*T2^4 + 
     11*T1^12*T2^4 - 27*T1^13*T2^4 + 44*T2^5 - 33*T1*T2^5 + 76*T1^2*T2^5 - 
     81*T1^3*T2^5 + 102*T1^4*T2^5 - 88*T1^5*T2^5 + 145*T1^6*T2^5 + 
     38*T1^7*T2^5 + 71*T1^8*T2^5 - 22*T1^9*T2^5 - 4*T1^10*T2^5 + T1^11*T2^5 + 
     36*T1^12*T2^5 - 11*T1^13*T2^5 + 33*T1^14*T2^5 - 11*T1^15*T2^5 - 
     44*T2^6 + 33*T1*T2^6 - 102*T1^2*T2^6 + 123*T1^3*T2^6 - 158*T1^4*T2^6 + 
     145*T1^5*T2^6 - 195*T1^6*T2^6 - 14*T1^7*T2^6 - 117*T1^8*T2^6 - 
     14*T1^9*T2^6 + 69*T1^10*T2^6 - 53*T1^11*T2^6 + 40*T1^12*T2^6 - 
     75*T1^13*T2^6 + 30*T1^14*T2^6 - 33*T1^15*T2^6 + 22*T1^16*T2^6 + 
     36*T2^7 - 9*T1*T2^7 + 52*T1^2*T2^7 - 21*T1^3*T2^7 + 5*T1^4*T2^7 + 
     38*T1^5*T2^7 - 14*T1^6*T2^7 + 209*T1^7*T2^7 - 9*T1^8*T2^7 + 
     117*T1^9*T2^7 - 85*T1^10*T2^7 - 14*T1^11*T2^7 + 5*T1^12*T2^7 + 
     5*T1^13*T2^7 + 51*T1^14*T2^7 - 29*T1^15*T2^7 + 15*T1^16*T2^7 - 
     27*T1^17*T2^7 - 24*T2^8 - 9*T1*T2^8 - 31*T1^2*T2^8 + 18*T1^3*T2^8 - 
     46*T1^4*T2^8 + 71*T1^5*T2^8 - 117*T1^6*T2^8 - 9*T1^7*T2^8 - 
     209*T1^8*T2^8 + 37*T1^9*T2^8 - 17*T1^10*T2^8 + 57*T1^11*T2^8 + 
     81*T1^12*T2^8 - 61*T1^13*T2^8 + 14*T1^14*T2^8 - 36*T1^15*T2^8 + 
     35*T1^16*T2^8 + 9*T1^17*T2^8 + 24*T1^18*T2^8 + 12*T2^9 + 18*T1*T2^9 + 
     16*T1^2*T2^9 - 8*T1^3*T2^9 + 20*T1^4*T2^9 - 22*T1^5*T2^9 - 
     14*T1^6*T2^9 + 117*T1^7*T2^9 + 37*T1^8*T2^9 + 147*T1^9*T2^9 - 
     107*T1^10*T2^9 - 16*T1^11*T2^9 - 129*T1^12*T2^9 - 14*T1^13*T2^9 + 
     21*T1^14*T2^9 + 7*T1^15*T2^9 - 8*T1^16*T2^9 - 38*T1^17*T2^9 - 
     27*T1^18*T2^9 - 15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 - 14*T1^2*T2^10 + 
     11*T1^3*T2^10 + T1^4*T2^10 - 4*T1^5*T2^10 + 69*T1^6*T2^10 - 
     85*T1^7*T2^10 - 17*T1^8*T2^10 - 107*T1^9*T2^10 + 48*T1^10*T2^10 + 
     63*T1^11*T2^10 + 173*T1^12*T2^10 + 29*T1^13*T2^10 + 57*T1^14*T2^10 - 
     48*T1^15*T2^10 + 29*T1^16*T2^10 + 29*T1^17*T2^10 + 46*T1^18*T2^10 + 
     27*T1^19*T2^10 + 6*T1^20*T2^10 + 9*T1*T2^11 + 9*T1^2*T2^11 - 
     2*T1^3*T2^11 - 26*T1^4*T2^11 + T1^5*T2^11 - 53*T1^6*T2^11 - 
     14*T1^7*T2^11 + 57*T1^8*T2^11 - 16*T1^9*T2^11 + 63*T1^10*T2^11 - 
     191*T1^11*T2^11 - 69*T1^12*T2^11 - 189*T1^13*T2^11 - 14*T1^14*T2^11 - 
     10*T1^15*T2^11 - 12*T1^16*T2^11 - 26*T1^17*T2^11 - 56*T1^18*T2^11 - 
     36*T1^19*T2^11 - 18*T1^20*T2^11 - 12*T1^2*T2^12 + 9*T1^3*T2^12 + 
     11*T1^4*T2^12 + 36*T1^5*T2^12 + 40*T1^6*T2^12 + 5*T1^7*T2^12 + 
     81*T1^8*T2^12 - 129*T1^9*T2^12 + 173*T1^10*T2^12 - 69*T1^11*T2^12 + 
     365*T1^12*T2^12 - 63*T1^13*T2^12 + 279*T1^14*T2^12 - 127*T1^15*T2^12 + 
     100*T1^16*T2^12 - 18*T1^17*T2^12 + 77*T1^18*T2^12 + 27*T1^19*T2^12 + 
     36*T1^20*T2^12 + 9*T1^3*T2^13 - 27*T1^4*T2^13 - 11*T1^5*T2^13 - 
     75*T1^6*T2^13 + 5*T1^7*T2^13 - 61*T1^8*T2^13 - 14*T1^9*T2^13 + 
     29*T1^10*T2^13 - 189*T1^11*T2^13 - 63*T1^12*T2^13 - 265*T1^13*T2^13 - 
     14*T1^14*T2^13 - 94*T1^15*T2^13 + 5*T1^16*T2^13 - 3*T1^17*T2^13 - 
     92*T1^18*T2^13 - 3*T1^19*T2^13 - 54*T1^20*T2^13 + 33*T1^5*T2^14 + 
     30*T1^6*T2^14 + 51*T1^7*T2^14 + 14*T1^8*T2^14 + 21*T1^9*T2^14 + 
     57*T1^10*T2^14 - 14*T1^11*T2^14 + 279*T1^12*T2^14 - 14*T1^13*T2^14 + 
     321*T1^14*T2^14 - 177*T1^15*T2^14 + 212*T1^16*T2^14 - 147*T1^17*T2^14 + 
     162*T1^18*T2^14 - 33*T1^19*T2^14 + 66*T1^20*T2^14 - 11*T1^5*T2^15 - 
     33*T1^6*T2^15 - 29*T1^7*T2^15 - 36*T1^8*T2^15 + 7*T1^9*T2^15 - 
     48*T1^10*T2^15 - 10*T1^11*T2^15 - 127*T1^12*T2^15 - 94*T1^13*T2^15 - 
     177*T1^14*T2^15 + 36*T1^15*T2^15 - 94*T1^16*T2^15 + 81*T1^17*T2^15 - 
     116*T1^18*T2^15 + 33*T1^19*T2^15 - 66*T1^20*T2^15 + 22*T1^6*T2^16 + 
     15*T1^7*T2^16 + 35*T1^8*T2^16 - 8*T1^9*T2^16 + 29*T1^10*T2^16 - 
     12*T1^11*T2^16 + 100*T1^12*T2^16 + 5*T1^13*T2^16 + 212*T1^14*T2^16 - 
     94*T1^15*T2^16 + 145*T1^16*T2^16 - 134*T1^17*T2^16 + 137*T1^18*T2^16 - 
     63*T1^19*T2^16 + 66*T1^20*T2^16 - 27*T1^7*T2^17 + 9*T1^8*T2^17 - 
     38*T1^9*T2^17 + 29*T1^10*T2^17 - 26*T1^11*T2^17 - 18*T1^12*T2^17 - 
     3*T1^13*T2^17 - 147*T1^14*T2^17 + 81*T1^15*T2^17 - 134*T1^16*T2^17 + 
     137*T1^17*T2^17 - 128*T1^18*T2^17 + 72*T1^19*T2^17 - 54*T1^20*T2^17 + 
     24*T1^8*T2^18 - 27*T1^9*T2^18 + 46*T1^10*T2^18 - 56*T1^11*T2^18 + 
     77*T1^12*T2^18 - 92*T1^13*T2^18 + 162*T1^14*T2^18 - 116*T1^15*T2^18 + 
     137*T1^16*T2^18 - 128*T1^17*T2^18 + 106*T1^18*T2^18 - 63*T1^19*T2^18 + 
     36*T1^20*T2^18 - 15*T1^9*T2^19 + 27*T1^10*T2^19 - 36*T1^11*T2^19 + 
     27*T1^12*T2^19 - 3*T1^13*T2^19 - 33*T1^14*T2^19 + 33*T1^15*T2^19 - 
     63*T1^16*T2^19 + 72*T1^17*T2^19 - 63*T1^18*T2^19 + 39*T1^19*T2^19 - 
     18*T1^20*T2^19 + 6*T1^10*T2^20 - 18*T1^11*T2^20 + 36*T1^12*T2^20 - 
     54*T1^13*T2^20 + 66*T1^14*T2^20 - 66*T1^15*T2^20 + 66*T1^16*T2^20 - 
     54*T1^17*T2^20 + 36*T1^18*T2^20 - 18*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 836] -> 
  {(2 - 7*T + 15*T^2 - 24*T^3 + 29*T^4 - 24*T^5 + 15*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-31 + 109*T1 - 234*T1^2 + 375*T1^3 - 453*T1^4 + 375*T1^5 - 
     234*T1^6 + 109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 537*T1^2*T2 - 
     705*T1^3*T2 + 610*T1^4*T2 - 132*T1^5*T2 - 159*T1^6*T2 + 229*T1^7*T2 - 
     176*T1^8*T2 + 81*T1^9*T2 - 234*T2^2 + 537*T1*T2^2 - 868*T1^2*T2^2 + 
     1057*T1^3*T2^2 - 799*T1^4*T2^2 + 12*T1^5*T2^2 + 41*T1^6*T2^2 + 
     37*T1^7*T2^2 - 88*T1^8*T2^2 + 117*T1^9*T2^2 - 114*T1^10*T2^2 + 
     375*T2^3 - 705*T1*T2^3 + 1057*T1^2*T2^3 - 1209*T1^3*T2^3 + 
     774*T1^4*T2^3 + 208*T1^5*T2^3 + 259*T1^6*T2^3 - 315*T1^7*T2^3 + 
     225*T1^8*T2^3 - 158*T1^9*T2^3 + 93*T1^10*T2^3 + 87*T1^11*T2^3 - 
     453*T2^4 + 610*T1*T2^4 - 799*T1^2*T2^4 + 774*T1^3*T2^4 - 149*T1^4*T2^4 - 
     783*T1^5*T2^4 - 337*T1^6*T2^4 - 23*T1^7*T2^4 + 403*T1^8*T2^4 - 
     426*T1^9*T2^4 + 329*T1^10*T2^4 - 342*T1^11*T2^4 + 11*T1^12*T2^4 + 
     375*T2^5 - 132*T1*T2^5 + 12*T1^2*T2^5 + 208*T1^3*T2^5 - 783*T1^4*T2^5 + 
     1043*T1^5*T2^5 + 792*T1^6*T2^5 + 183*T1^7*T2^5 - 601*T1^8*T2^5 + 
     171*T1^9*T2^5 + 73*T1^10*T2^5 - 45*T1^11*T2^5 + 330*T1^12*T2^5 - 
     105*T1^13*T2^5 - 234*T2^6 - 159*T1*T2^6 + 41*T1^2*T2^6 + 259*T1^3*T2^6 - 
     337*T1^4*T2^6 + 792*T1^5*T2^6 - 2015*T1^6*T2^6 - 443*T1^7*T2^6 + 
     1081*T1^8*T2^6 - 174*T1^9*T2^6 + 65*T1^10*T2^6 - 71*T1^11*T2^6 - 
     223*T1^12*T2^6 - 75*T1^13*T2^6 + 126*T1^14*T2^6 + 109*T2^7 + 
     229*T1*T2^7 + 37*T1^2*T2^7 - 315*T1^3*T2^7 - 23*T1^4*T2^7 + 
     183*T1^5*T2^7 - 443*T1^6*T2^7 + 3079*T1^7*T2^7 - 2357*T1^8*T2^7 + 
     T1^9*T2^7 + 78*T1^10*T2^7 - 201*T1^11*T2^7 + 330*T1^12*T2^7 + 
     82*T1^13*T2^7 - 135*T1^14*T2^7 - 87*T1^15*T2^7 - 31*T2^8 - 176*T1*T2^8 - 
     88*T1^2*T2^8 + 225*T1^3*T2^8 + 403*T1^4*T2^8 - 601*T1^5*T2^8 + 
     1081*T1^6*T2^8 - 2357*T1^7*T2^8 + 444*T1^8*T2^8 + 2069*T1^9*T2^8 - 
     779*T1^10*T2^8 + 533*T1^11*T2^8 - 289*T1^12*T2^8 - 129*T1^13*T2^8 + 
     134*T1^14*T2^8 + 188*T1^15*T2^8 + 33*T1^16*T2^8 + 81*T1*T2^9 + 
     117*T1^2*T2^9 - 158*T1^3*T2^9 - 426*T1^4*T2^9 + 171*T1^5*T2^9 - 
     174*T1^6*T2^9 + T1^7*T2^9 + 2069*T1^8*T2^9 - 3367*T1^9*T2^9 + 
     445*T1^10*T2^9 - 279*T1^11*T2^9 - 7*T1^12*T2^9 + 219*T1^13*T2^9 - 
     113*T1^14*T2^9 - 247*T1^15*T2^9 - 115*T1^16*T2^9 - 114*T1^2*T2^10 + 
     93*T1^3*T2^10 + 329*T1^4*T2^10 + 73*T1^5*T2^10 + 65*T1^6*T2^10 + 
     78*T1^7*T2^10 - 779*T1^8*T2^10 + 445*T1^9*T2^10 + 2317*T1^10*T2^10 - 
     888*T1^11*T2^10 + 467*T1^12*T2^10 - 257*T1^13*T2^10 + 65*T1^14*T2^10 + 
     177*T1^15*T2^10 + 246*T1^16*T2^10 + 87*T1^3*T2^11 - 342*T1^4*T2^11 - 
     45*T1^5*T2^11 - 71*T1^6*T2^11 - 201*T1^7*T2^11 + 533*T1^8*T2^11 - 
     279*T1^9*T2^11 - 888*T1^10*T2^11 - 1111*T1^11*T2^11 + 753*T1^12*T2^11 - 
     206*T1^13*T2^11 - 102*T1^14*T2^11 + 120*T1^15*T2^11 - 393*T1^16*T2^11 + 
     11*T1^4*T2^12 + 330*T1^5*T2^12 - 223*T1^6*T2^12 + 330*T1^7*T2^12 - 
     289*T1^8*T2^12 - 7*T1^9*T2^12 + 467*T1^10*T2^12 + 753*T1^11*T2^12 + 
     263*T1^12*T2^12 - 870*T1^13*T2^12 + 905*T1^14*T2^12 - 622*T1^15*T2^12 + 
     475*T1^16*T2^12 - 105*T1^5*T2^13 - 75*T1^6*T2^13 + 82*T1^7*T2^13 - 
     129*T1^8*T2^13 + 219*T1^9*T2^13 - 257*T1^10*T2^13 - 206*T1^11*T2^13 - 
     870*T1^12*T2^13 + 1305*T1^13*T2^13 - 1133*T1^14*T2^13 + 
     723*T1^15*T2^13 - 393*T1^16*T2^13 + 126*T1^6*T2^14 - 135*T1^7*T2^14 + 
     134*T1^8*T2^14 - 113*T1^9*T2^14 + 65*T1^10*T2^14 - 102*T1^11*T2^14 + 
     905*T1^12*T2^14 - 1133*T1^13*T2^14 + 914*T1^14*T2^14 - 555*T1^15*T2^14 + 
     246*T1^16*T2^14 - 87*T1^7*T2^15 + 188*T1^8*T2^15 - 247*T1^9*T2^15 + 
     177*T1^10*T2^15 + 120*T1^11*T2^15 - 622*T1^12*T2^15 + 723*T1^13*T2^15 - 
     555*T1^14*T2^15 + 314*T1^15*T2^15 - 115*T1^16*T2^15 + 33*T1^8*T2^16 - 
     115*T1^9*T2^16 + 246*T1^10*T2^16 - 393*T1^11*T2^16 + 475*T1^12*T2^16 - 
     393*T1^13*T2^16 + 246*T1^14*T2^16 - 115*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 837] -> 
  {(2 - 8*T + 18*T^2 - 28*T^3 + 33*T^4 - 28*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 125*T1 - 282*T1^2 + 439*T1^3 - 517*T1^4 + 439*T1^5 - 
     282*T1^6 + 125*T1^7 - 31*T1^8 + 125*T2 - 410*T1*T2 + 759*T1^2*T2 - 
     919*T1^3*T2 + 762*T1^4*T2 - 214*T1^5*T2 - 183*T1^6*T2 + 343*T1^7*T2 - 
     250*T1^8*T2 + 93*T1^9*T2 - 282*T2^2 + 759*T1*T2^2 - 1178*T1^2*T2^2 + 
     1111*T1^3*T2^2 - 605*T1^4*T2^2 - 352*T1^5*T2^2 + 475*T1^6*T2^2 - 
     329*T1^7*T2^2 - 26*T1^8*T2^2 + 183*T1^9*T2^2 - 138*T1^10*T2^2 + 
     439*T2^3 - 919*T1*T2^3 + 1111*T1^2*T2^3 - 614*T1^3*T2^3 - 67*T1^4*T2^3 + 
     950*T1^5*T2^3 - 106*T1^6*T2^3 - 331*T1^7*T2^3 + 682*T1^8*T2^3 - 
     473*T1^9*T2^3 + 137*T1^10*T2^3 + 103*T1^11*T2^3 - 517*T2^4 + 
     762*T1*T2^4 - 605*T1^2*T2^4 - 67*T1^3*T2^4 + 335*T1^4*T2^4 - 
     620*T1^5*T2^4 - 1069*T1^6*T2^4 + 820*T1^7*T2^4 - 441*T1^8*T2^4 - 
     291*T1^9*T2^4 + 563*T1^10*T2^4 - 454*T1^11*T2^4 + 11*T1^12*T2^4 + 
     439*T2^5 - 214*T1*T2^5 - 352*T1^2*T2^5 + 950*T1^3*T2^5 - 620*T1^4*T2^5 + 
     352*T1^5*T2^5 + 1460*T1^6*T2^5 - 132*T1^7*T2^5 - 536*T1^8*T2^5 + 
     796*T1^9*T2^5 - 426*T1^10*T2^5 - 64*T1^11*T2^5 + 442*T1^12*T2^5 - 
     121*T1^13*T2^5 - 282*T2^6 - 183*T1*T2^6 + 475*T1^2*T2^6 - 
     106*T1^3*T2^6 - 1069*T1^4*T2^6 + 1460*T1^5*T2^6 - 2146*T1^6*T2^6 - 
     488*T1^7*T2^6 + 1210*T1^8*T2^6 - 572*T1^9*T2^6 - 21*T1^10*T2^6 + 
     470*T1^11*T2^6 - 429*T1^12*T2^6 - 119*T1^13*T2^6 + 150*T1^14*T2^6 + 
     125*T2^7 + 343*T1*T2^7 - 329*T1^2*T2^7 - 331*T1^3*T2^7 + 820*T1^4*T2^7 - 
     132*T1^5*T2^7 - 488*T1^6*T2^7 + 2582*T1^7*T2^7 - 1830*T1^8*T2^7 - 
     392*T1^9*T2^7 + 580*T1^10*T2^7 - 692*T1^11*T2^7 + 93*T1^12*T2^7 + 
     391*T1^13*T2^7 - 201*T1^14*T2^7 - 99*T1^15*T2^7 - 31*T2^8 - 
     250*T1*T2^8 - 26*T1^2*T2^8 + 682*T1^3*T2^8 - 441*T1^4*T2^8 - 
     536*T1^5*T2^8 + 1210*T1^6*T2^8 - 1830*T1^7*T2^8 + 468*T1^8*T2^8 + 
     1658*T1^9*T2^8 - 150*T1^10*T2^8 + 40*T1^11*T2^8 + 647*T1^12*T2^8 - 
     534*T1^13*T2^8 + 70*T1^14*T2^8 + 262*T1^15*T2^8 + 33*T1^16*T2^8 + 
     93*T1*T2^9 + 183*T1^2*T2^9 - 473*T1^3*T2^9 - 291*T1^4*T2^9 + 
     796*T1^5*T2^9 - 572*T1^6*T2^9 - 392*T1^7*T2^9 + 1658*T1^8*T2^9 - 
     2754*T1^9*T2^9 - 296*T1^10*T2^9 + 140*T1^11*T2^9 - 716*T1^12*T2^9 + 
     133*T1^13*T2^9 + 247*T1^14*T2^9 - 361*T1^15*T2^9 - 131*T1^16*T2^9 - 
     138*T1^2*T2^10 + 137*T1^3*T2^10 + 563*T1^4*T2^10 - 426*T1^5*T2^10 - 
     21*T1^6*T2^10 + 580*T1^7*T2^10 - 150*T1^8*T2^10 - 296*T1^9*T2^10 + 
     3206*T1^10*T2^10 - 1452*T1^11*T2^10 + 1027*T1^12*T2^10 + 
     150*T1^13*T2^10 - 341*T1^14*T2^10 + 201*T1^15*T2^10 + 294*T1^16*T2^10 + 
     103*T1^3*T2^11 - 454*T1^4*T2^11 - 64*T1^5*T2^11 + 470*T1^6*T2^11 - 
     692*T1^7*T2^11 + 40*T1^8*T2^11 + 140*T1^9*T2^11 - 1452*T1^10*T2^11 - 
     848*T1^11*T2^11 + 724*T1^12*T2^11 - 906*T1^13*T2^11 + 224*T1^14*T2^11 + 
     202*T1^15*T2^11 - 457*T1^16*T2^11 + 11*T1^4*T2^12 + 442*T1^5*T2^12 - 
     429*T1^6*T2^12 + 93*T1^7*T2^12 + 647*T1^8*T2^12 - 716*T1^9*T2^12 + 
     1027*T1^10*T2^12 + 724*T1^11*T2^12 - 129*T1^12*T2^12 - 131*T1^13*T2^12 + 
     739*T1^14*T2^12 - 774*T1^15*T2^12 + 539*T1^16*T2^12 - 121*T1^5*T2^13 - 
     119*T1^6*T2^13 + 391*T1^7*T2^13 - 534*T1^8*T2^13 + 133*T1^9*T2^13 + 
     150*T1^10*T2^13 - 906*T1^11*T2^13 - 131*T1^12*T2^13 + 762*T1^13*T2^13 - 
     1193*T1^14*T2^13 + 937*T1^15*T2^13 - 457*T1^16*T2^13 + 150*T1^6*T2^14 - 
     201*T1^7*T2^14 + 70*T1^8*T2^14 + 247*T1^9*T2^14 - 341*T1^10*T2^14 + 
     224*T1^11*T2^14 + 739*T1^12*T2^14 - 1193*T1^13*T2^14 + 
     1222*T1^14*T2^14 - 777*T1^15*T2^14 + 294*T1^16*T2^14 - 99*T1^7*T2^15 + 
     262*T1^8*T2^15 - 361*T1^9*T2^15 + 201*T1^10*T2^15 + 202*T1^11*T2^15 - 
     774*T1^12*T2^15 + 937*T1^13*T2^15 - 777*T1^14*T2^15 + 422*T1^15*T2^15 - 
     131*T1^16*T2^15 + 33*T1^8*T2^16 - 131*T1^9*T2^16 + 294*T1^10*T2^16 - 
     457*T1^11*T2^16 + 539*T1^12*T2^16 - 457*T1^13*T2^16 + 294*T1^14*T2^16 - 
     131*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 838] -> 
  {-((1 - 3*T + 4*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 5*T^6 - 5*T^7 + 4*T^8 - 
      3*T^9 + T^10)/T^5), -((-9 + 27*T1 - 36*T1^2 + 45*T1^3 - 45*T1^4 + 
      45*T1^5 - 45*T1^6 + 45*T1^7 - 36*T1^8 + 27*T1^9 - 9*T1^10 + 27*T2 - 
      57*T1*T2 + 36*T1^2*T2 - 39*T1^3*T2 + 15*T1^4*T2 - 15*T1^5*T2 + 
      15*T1^6*T2 - 15*T1^7*T2 - 12*T1^8*T2 + 15*T1^9*T2 - 45*T1^10*T2 + 
      24*T1^11*T2 - 36*T2^2 + 36*T1*T2^2 + 45*T1^2*T2^2 - 28*T1^3*T2^2 + 
      72*T1^4*T2^2 - 45*T1^5*T2^2 + 45*T1^6*T2^2 - 45*T1^7*T2^2 + 
      80*T1^8*T2^2 - 44*T1^9*T2^2 + 69*T1^10*T2^2 + 12*T1^11*T2^2 - 
      28*T1^12*T2^2 + 45*T2^3 - 39*T1*T2^3 - 28*T1^2*T2^3 - 53*T1^3*T2^3 - 
      11*T1^4*T2^3 - 42*T1^5*T2^3 + 15*T1^6*T2^3 - 15*T1^7*T2^3 - 
      27*T1^8*T2^3 - 23*T1^9*T2^3 - 47*T1^10*T2^3 - 40*T1^11*T2^3 - 
      6*T1^12*T2^3 + 30*T1^13*T2^3 - 45*T2^4 + 15*T1*T2^4 + 72*T1^2*T2^4 - 
      11*T1^3*T2^4 + 152*T1^4*T2^4 - 90*T1^5*T2^4 + 150*T1^6*T2^4 - 
      130*T1^7*T2^4 + 170*T1^8*T2^4 - 100*T1^9*T2^4 + 172*T1^10*T2^4 - 
      21*T1^11*T2^4 + 62*T1^12*T2^4 - 15*T1^13*T2^4 - 25*T1^14*T2^4 + 
      45*T2^5 - 15*T1*T2^5 - 45*T1^2*T2^5 - 42*T1^3*T2^5 - 90*T1^4*T2^5 - 
      32*T1^5*T2^5 - 35*T1^6*T2^5 - 12*T1^7*T2^5 - 37*T1^8*T2^5 - 
      30*T1^9*T2^5 - 62*T1^10*T2^5 - 85*T1^11*T2^5 - 17*T1^12*T2^5 - 
      30*T1^13*T2^5 + 15*T1^14*T2^5 + 20*T1^15*T2^5 - 45*T2^6 + 15*T1*T2^6 + 
      45*T1^2*T2^6 + 15*T1^3*T2^6 + 150*T1^4*T2^6 - 35*T1^5*T2^6 + 
      144*T1^6*T2^6 - 95*T1^7*T2^6 + 160*T1^8*T2^6 - 95*T1^9*T2^6 + 
      184*T1^10*T2^6 - 25*T1^11*T2^6 + 120*T1^12*T2^6 - 15*T1^13*T2^6 + 
      25*T1^14*T2^6 - 15*T1^15*T2^6 - 15*T1^16*T2^6 + 45*T2^7 - 15*T1*T2^7 - 
      45*T1^2*T2^7 - 15*T1^3*T2^7 - 130*T1^4*T2^7 - 12*T1^5*T2^7 - 
      95*T1^6*T2^7 + 23*T1^7*T2^7 - 77*T1^8*T2^7 + 3*T1^9*T2^7 - 
      77*T1^10*T2^7 - 75*T1^11*T2^7 - 27*T1^12*T2^7 - 70*T1^13*T2^7 + 
      15*T1^14*T2^7 - 20*T1^15*T2^7 + 15*T1^16*T2^7 + 10*T1^17*T2^7 - 
      36*T2^8 - 12*T1*T2^8 + 80*T1^2*T2^8 - 27*T1^3*T2^8 + 170*T1^4*T2^8 - 
      37*T1^5*T2^8 + 160*T1^6*T2^8 - 77*T1^7*T2^8 + 117*T1^8*T2^8 - 
      51*T1^9*T2^8 + 113*T1^10*T2^8 + 13*T1^11*T2^8 + 90*T1^12*T2^8 + 
      3*T1^13*T2^8 + 50*T1^14*T2^8 - 17*T1^15*T2^8 + 18*T1^16*T2^8 - 
      18*T1^17*T2^8 - 4*T1^18*T2^8 + 27*T2^9 + 15*T1*T2^9 - 44*T1^2*T2^9 - 
      23*T1^3*T2^9 - 100*T1^4*T2^9 - 30*T1^5*T2^9 - 95*T1^6*T2^9 + 
      3*T1^7*T2^9 - 51*T1^8*T2^9 + 17*T1^9*T2^9 - 63*T1^10*T2^9 - 
      30*T1^11*T2^9 - 57*T1^12*T2^9 - 35*T1^13*T2^9 - 15*T1^14*T2^9 - 
      15*T1^15*T2^9 + T1^16*T2^9 + 12*T1^18*T2^9 - 9*T2^10 - 45*T1*T2^10 + 
      69*T1^2*T2^10 - 47*T1^3*T2^10 + 172*T1^4*T2^10 - 62*T1^5*T2^10 + 
      184*T1^6*T2^10 - 77*T1^7*T2^10 + 113*T1^8*T2^10 - 63*T1^9*T2^10 + 
      48*T1^10*T2^10 + 31*T1^11*T2^10 + 27*T1^12*T2^10 + 53*T1^13*T2^10 + 
      4*T1^14*T2^10 + 18*T1^15*T2^10 - 4*T1^16*T2^10 + 3*T1^17*T2^10 - 
      11*T1^18*T2^10 - 3*T1^19*T2^10 + T1^20*T2^10 + 24*T1*T2^11 + 
      12*T1^2*T2^11 - 40*T1^3*T2^11 - 21*T1^4*T2^11 - 85*T1^5*T2^11 - 
      25*T1^6*T2^11 - 75*T1^7*T2^11 + 13*T1^8*T2^11 - 30*T1^9*T2^11 + 
      31*T1^10*T2^11 - 49*T1^11*T2^11 - 9*T1^12*T2^11 - 47*T1^13*T2^11 - 
      15*T1^14*T2^11 - 10*T1^15*T2^11 + 3*T1^17*T2^11 + 4*T1^18*T2^11 + 
      9*T1^19*T2^11 - 3*T1^20*T2^11 - 28*T1^2*T2^12 - 6*T1^3*T2^12 + 
      62*T1^4*T2^12 - 17*T1^5*T2^12 + 120*T1^6*T2^12 - 27*T1^7*T2^12 + 
      90*T1^8*T2^12 - 57*T1^9*T2^12 + 27*T1^10*T2^12 - 9*T1^11*T2^12 + 
      23*T1^12*T2^12 + 33*T1^13*T2^12 + 20*T1^14*T2^12 + 13*T1^15*T2^12 - 
      7*T1^17*T2^12 - 12*T1^19*T2^12 + 4*T1^20*T2^12 + 30*T1^3*T2^13 - 
      15*T1^4*T2^13 - 30*T1^5*T2^13 - 15*T1^6*T2^13 - 70*T1^7*T2^13 + 
      3*T1^8*T2^13 - 35*T1^9*T2^13 + 53*T1^10*T2^13 - 47*T1^11*T2^13 + 
      33*T1^12*T2^13 - 47*T1^13*T2^13 - 15*T1^14*T2^13 - 12*T1^15*T2^13 - 
      10*T1^16*T2^13 + 15*T1^17*T2^13 - 5*T1^18*T2^13 + 15*T1^19*T2^13 - 
      5*T1^20*T2^13 - 25*T1^4*T2^14 + 15*T1^5*T2^14 + 25*T1^6*T2^14 + 
      15*T1^7*T2^14 + 50*T1^8*T2^14 - 15*T1^9*T2^14 + 4*T1^10*T2^14 - 
      15*T1^11*T2^14 + 20*T1^12*T2^14 - 15*T1^13*T2^14 + 44*T1^14*T2^14 - 
      5*T1^15*T2^14 + 20*T1^16*T2^14 - 15*T1^17*T2^14 + 5*T1^18*T2^14 - 
      15*T1^19*T2^14 + 5*T1^20*T2^14 + 20*T1^5*T2^15 - 15*T1^6*T2^15 - 
      20*T1^7*T2^15 - 17*T1^8*T2^15 - 15*T1^9*T2^15 + 18*T1^10*T2^15 - 
      10*T1^11*T2^15 + 13*T1^12*T2^15 - 12*T1^13*T2^15 - 5*T1^14*T2^15 - 
      12*T1^15*T2^15 - 10*T1^16*T2^15 + 8*T1^17*T2^15 - 5*T1^18*T2^15 + 
      15*T1^19*T2^15 - 5*T1^20*T2^15 - 15*T1^6*T2^16 + 15*T1^7*T2^16 + 
      18*T1^8*T2^16 + T1^9*T2^16 - 4*T1^10*T2^16 - 10*T1^13*T2^16 + 
      20*T1^14*T2^16 - 10*T1^15*T2^16 + 16*T1^16*T2^16 - 9*T1^17*T2^16 + 
      8*T1^18*T2^16 - 15*T1^19*T2^16 + 5*T1^20*T2^16 + 10*T1^7*T2^17 - 
      18*T1^8*T2^17 + 3*T1^10*T2^17 + 3*T1^11*T2^17 - 7*T1^12*T2^17 + 
      15*T1^13*T2^17 - 15*T1^14*T2^17 + 8*T1^15*T2^17 - 9*T1^16*T2^17 + 
      9*T1^17*T2^17 - 12*T1^18*T2^17 + 15*T1^19*T2^17 - 5*T1^20*T2^17 - 
      4*T1^8*T2^18 + 12*T1^9*T2^18 - 11*T1^10*T2^18 + 4*T1^11*T2^18 - 
      5*T1^13*T2^18 + 5*T1^14*T2^18 - 5*T1^15*T2^18 + 8*T1^16*T2^18 - 
      12*T1^17*T2^18 + 13*T1^18*T2^18 - 12*T1^19*T2^18 + 4*T1^20*T2^18 - 
      3*T1^10*T2^19 + 9*T1^11*T2^19 - 12*T1^12*T2^19 + 15*T1^13*T2^19 - 
      15*T1^14*T2^19 + 15*T1^15*T2^19 - 15*T1^16*T2^19 + 15*T1^17*T2^19 - 
      12*T1^18*T2^19 + 9*T1^19*T2^19 - 3*T1^20*T2^19 + T1^10*T2^20 - 
      3*T1^11*T2^20 + 4*T1^12*T2^20 - 5*T1^13*T2^20 + 5*T1^14*T2^20 - 
      5*T1^15*T2^20 + 5*T1^16*T2^20 - 5*T1^17*T2^20 + 4*T1^18*T2^20 - 
      3*T1^19*T2^20 + T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 839] -> 
  {-((2 - 7*T + 11*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 11*T^6 - 7*T^7 + 2*T^8)/
     T^4), -((-57 + 199*T1 - 312*T1^2 + 397*T1^3 - 425*T1^4 + 397*T1^5 - 
      312*T1^6 + 199*T1^7 - 57*T1^8 + 199*T2 - 524*T1*T2 + 493*T1^2*T2 - 
      451*T1^3*T2 + 294*T1^4*T2 - 112*T1^5*T2 - 101*T1^6*T2 + 241*T1^7*T2 - 
      398*T1^8*T2 + 171*T1^9*T2 - 312*T2^2 + 493*T1*T2^2 + 159*T1^2*T2^2 - 
      348*T1^3*T2^2 + 653*T1^4*T2^2 - 771*T1^5*T2^2 + 829*T1^6*T2^2 - 
      656*T1^7*T2^2 + 555*T1^8*T2^2 + 185*T1^9*T2^2 - 224*T1^10*T2^2 + 
      397*T2^3 - 451*T1*T2^3 - 348*T1^2*T2^3 - 31*T1^3*T2^3 - 141*T1^4*T2^3 + 
      45*T1^5*T2^3 - 88*T1^6*T2^3 - 64*T1^7*T2^3 - 73*T1^8*T2^3 - 
      579*T1^9*T2^3 - 17*T1^10*T2^3 + 229*T1^11*T2^3 - 425*T2^4 + 
      294*T1*T2^4 + 653*T1^2*T2^4 - 141*T1^3*T2^4 + 836*T1^4*T2^4 - 
      897*T1^5*T2^4 + 1142*T1^6*T2^4 - 953*T1^7*T2^4 + 1024*T1^8*T2^4 - 
      57*T1^9*T2^4 + 601*T1^10*T2^4 - 154*T1^11*T2^4 - 185*T1^12*T2^4 + 
      397*T2^5 - 112*T1*T2^5 - 771*T1^2*T2^5 + 45*T1^3*T2^5 - 897*T1^4*T2^5 + 
      613*T1^5*T2^5 - 658*T1^6*T2^5 + 231*T1^7*T2^5 - 227*T1^8*T2^5 - 
      729*T1^9*T2^5 - 74*T1^10*T2^5 - 414*T1^11*T2^5 + 238*T1^12*T2^5 + 
      117*T1^13*T2^5 - 312*T2^6 - 101*T1*T2^6 + 829*T1^2*T2^6 - 
      88*T1^3*T2^6 + 1142*T1^4*T2^6 - 658*T1^5*T2^6 + 706*T1^6*T2^6 - 
      370*T1^7*T2^6 + 470*T1^8*T2^6 + 280*T1^9*T2^6 + 604*T1^10*T2^6 + 
      66*T1^11*T2^6 + 197*T1^12*T2^6 - 241*T1^13*T2^6 - 48*T1^14*T2^6 + 
      199*T2^7 + 241*T1*T2^7 - 656*T1^2*T2^7 - 64*T1^3*T2^7 - 953*T1^4*T2^7 + 
      231*T1^5*T2^7 - 370*T1^6*T2^7 + 245*T1^7*T2^7 - 343*T1^8*T2^7 - 
      202*T1^9*T2^7 - 560*T1^10*T2^7 - 225*T1^11*T2^7 - 113*T1^12*T2^7 + 
      37*T1^13*T2^7 + 157*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 398*T1*T2^8 + 
      555*T1^2*T2^8 - 73*T1^3*T2^8 + 1024*T1^4*T2^8 - 227*T1^5*T2^8 + 
      470*T1^6*T2^8 - 343*T1^7*T2^8 + 168*T1^8*T2^8 + 259*T1^9*T2^8 + 
      254*T1^10*T2^8 + 487*T1^11*T2^8 - 32*T1^12*T2^8 + 109*T1^13*T2^8 - 
      183*T1^14*T2^8 - 34*T1^15*T2^8 + 7*T1^16*T2^8 + 171*T1*T2^9 + 
      185*T1^2*T2^9 - 579*T1^3*T2^9 - 57*T1^4*T2^9 - 729*T1^5*T2^9 + 
      280*T1^6*T2^9 - 202*T1^7*T2^9 + 259*T1^8*T2^9 - 329*T1^9*T2^9 - 
      34*T1^10*T2^9 - 511*T1^11*T2^9 - T1^12*T2^9 - 106*T1^13*T2^9 + 
      114*T1^14*T2^9 + 101*T1^15*T2^9 - 25*T1^16*T2^9 - 224*T1^2*T2^10 - 
      17*T1^3*T2^10 + 601*T1^4*T2^10 - 74*T1^5*T2^10 + 604*T1^6*T2^10 - 
      560*T1^7*T2^10 + 254*T1^8*T2^10 - 34*T1^9*T2^10 + 18*T1^10*T2^10 + 
      378*T1^11*T2^10 + 66*T1^12*T2^10 + 80*T1^13*T2^10 - 31*T1^14*T2^10 - 
      157*T1^15*T2^10 + 40*T1^16*T2^10 + 229*T1^3*T2^11 - 154*T1^4*T2^11 - 
      414*T1^5*T2^11 + 66*T1^6*T2^11 - 225*T1^7*T2^11 + 487*T1^8*T2^11 - 
      511*T1^9*T2^11 + 378*T1^10*T2^11 - 353*T1^11*T2^11 - 57*T1^12*T2^11 - 
      53*T1^13*T2^11 - 57*T1^14*T2^11 + 196*T1^15*T2^11 - 51*T1^16*T2^11 - 
      185*T1^4*T2^12 + 238*T1^5*T2^12 + 197*T1^6*T2^12 - 113*T1^7*T2^12 - 
      32*T1^8*T2^12 - T1^9*T2^12 + 66*T1^10*T2^12 - 57*T1^11*T2^12 + 
      156*T1^12*T2^12 - 29*T1^13*T2^12 + 145*T1^14*T2^12 - 210*T1^15*T2^12 + 
      55*T1^16*T2^12 + 117*T1^5*T2^13 - 241*T1^6*T2^13 + 37*T1^7*T2^13 + 
      109*T1^8*T2^13 - 106*T1^9*T2^13 + 80*T1^10*T2^13 - 53*T1^11*T2^13 - 
      29*T1^12*T2^13 + 67*T1^13*T2^13 - 194*T1^14*T2^13 + 193*T1^15*T2^13 - 
      51*T1^16*T2^13 - 48*T1^6*T2^14 + 157*T1^7*T2^14 - 183*T1^8*T2^14 + 
      114*T1^9*T2^14 - 31*T1^10*T2^14 - 57*T1^11*T2^14 + 145*T1^12*T2^14 - 
      194*T1^13*T2^14 + 213*T1^14*T2^14 - 151*T1^15*T2^14 + 40*T1^16*T2^14 + 
      3*T1^7*T2^15 - 34*T1^8*T2^15 + 101*T1^9*T2^15 - 157*T1^10*T2^15 + 
      196*T1^11*T2^15 - 210*T1^12*T2^15 + 193*T1^13*T2^15 - 151*T1^14*T2^15 + 
      92*T1^15*T2^15 - 25*T1^16*T2^15 + 7*T1^8*T2^16 - 25*T1^9*T2^16 + 
      40*T1^10*T2^16 - 51*T1^11*T2^16 + 55*T1^12*T2^16 - 51*T1^13*T2^16 + 
      40*T1^14*T2^16 - 25*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 840] -> 
  {-((2 - 8*T + 16*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-57 + 227*T1 - 452*T1^2 + 677*T1^3 - 761*T1^4 + 677*T1^5 - 
      452*T1^6 + 227*T1^7 - 57*T1^8 + 227*T2 - 710*T1*T2 + 1027*T1^2*T2 - 
      1155*T1^3*T2 + 720*T1^4*T2 - 96*T1^5*T2 - 515*T1^6*T2 + 643*T1^7*T2 - 
      550*T1^8*T2 + 195*T1^9*T2 - 452*T2^2 + 1027*T1*T2^2 - 810*T1^2*T2^2 + 
      447*T1^3*T2^2 + 717*T1^4*T2^2 - 1280*T1^5*T2^2 + 1421*T1^6*T2^2 - 
      577*T1^7*T2^2 + 86*T1^8*T2^2 + 515*T1^9*T2^2 - 324*T1^10*T2^2 + 
      677*T2^3 - 1155*T1*T2^3 + 447*T1^2*T2^3 - 338*T1^3*T2^3 - 
      821*T1^4*T2^3 + 470*T1^5*T2^3 - 298*T1^6*T2^3 - 741*T1^7*T2^3 + 
      334*T1^8*T2^3 - 577*T1^9*T2^3 - 259*T1^10*T2^3 + 389*T1^11*T2^3 - 
      761*T2^4 + 720*T1*T2^4 + 717*T1^2*T2^4 - 821*T1^3*T2^4 + 
      2646*T1^4*T2^4 - 1973*T1^5*T2^4 + 2336*T1^6*T2^4 - 1205*T1^7*T2^4 + 
      1902*T1^8*T2^4 - 629*T1^9*T2^4 + 1101*T1^10*T2^4 - 240*T1^11*T2^4 - 
      329*T1^12*T2^4 + 677*T2^5 - 96*T1*T2^5 - 1280*T1^2*T2^5 + 
      470*T1^3*T2^5 - 1973*T1^4*T2^5 + 236*T1^5*T2^5 - 908*T1^6*T2^5 - 
      332*T1^7*T2^5 - 844*T1^8*T2^5 - 821*T1^9*T2^5 - 298*T1^10*T2^5 - 
      704*T1^11*T2^5 + 528*T1^12*T2^5 + 197*T1^13*T2^5 - 452*T2^6 - 
      515*T1*T2^6 + 1421*T1^2*T2^6 - 298*T1^3*T2^6 + 2336*T1^4*T2^6 - 
      908*T1^5*T2^6 + 2718*T1^6*T2^6 - 1604*T1^7*T2^6 + 2622*T1^8*T2^6 - 
      140*T1^9*T2^6 + 1184*T1^10*T2^6 + 470*T1^11*T2^6 + 77*T1^12*T2^6 - 
      515*T1^13*T2^6 - 68*T1^14*T2^6 + 227*T2^7 + 643*T1*T2^7 - 
      577*T1^2*T2^7 - 741*T1^3*T2^7 - 1205*T1^4*T2^7 - 332*T1^5*T2^7 - 
      1604*T1^6*T2^7 + 216*T1^7*T2^7 - 992*T1^8*T2^7 - 1156*T1^9*T2^7 - 
      524*T1^10*T2^7 - 821*T1^11*T2^7 - 373*T1^12*T2^7 + 447*T1^13*T2^7 + 
      259*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 550*T1*T2^8 + 86*T1^2*T2^8 + 
      334*T1^3*T2^8 + 1902*T1^4*T2^8 - 844*T1^5*T2^8 + 2622*T1^6*T2^8 - 
      992*T1^7*T2^8 + 1296*T1^8*T2^8 + 416*T1^9*T2^8 + 1086*T1^10*T2^8 + 
      308*T1^11*T2^8 + 718*T1^12*T2^8 - 178*T1^13*T2^8 - 426*T1^14*T2^8 - 
      38*T1^15*T2^8 + 7*T1^16*T2^8 + 195*T1*T2^9 + 515*T1^2*T2^9 - 
      577*T1^3*T2^9 - 629*T1^4*T2^9 - 821*T1^5*T2^9 - 140*T1^6*T2^9 - 
      1156*T1^7*T2^9 + 416*T1^8*T2^9 - 792*T1^9*T2^9 - 708*T1^10*T2^9 - 
      332*T1^11*T2^9 - 437*T1^12*T2^9 - 261*T1^13*T2^9 + 447*T1^14*T2^9 + 
      131*T1^15*T2^9 - 29*T1^16*T2^9 - 324*T1^2*T2^10 - 259*T1^3*T2^10 + 
      1101*T1^4*T2^10 - 298*T1^5*T2^10 + 1184*T1^6*T2^10 - 524*T1^7*T2^10 + 
      1086*T1^8*T2^10 - 708*T1^9*T2^10 + 990*T1^10*T2^10 + 244*T1^11*T2^10 + 
      32*T1^12*T2^10 + 470*T1^13*T2^10 - 243*T1^14*T2^10 - 259*T1^15*T2^10 + 
      60*T1^16*T2^10 + 389*T1^3*T2^11 - 240*T1^4*T2^11 - 704*T1^5*T2^11 + 
      470*T1^6*T2^11 - 821*T1^7*T2^11 + 308*T1^8*T2^11 - 332*T1^9*T2^11 + 
      244*T1^10*T2^11 - 772*T1^11*T2^11 + 331*T1^12*T2^11 - 298*T1^13*T2^11 - 
      128*T1^14*T2^11 + 384*T1^15*T2^11 - 91*T1^16*T2^11 - 329*T1^4*T2^12 + 
      528*T1^5*T2^12 + 77*T1^6*T2^12 - 373*T1^7*T2^12 + 718*T1^8*T2^12 - 
      437*T1^9*T2^12 + 32*T1^10*T2^12 + 331*T1^11*T2^12 - 26*T1^12*T2^12 - 
      181*T1^13*T2^12 + 461*T1^14*T2^12 - 432*T1^15*T2^12 + 103*T1^16*T2^12 + 
      197*T1^5*T2^13 - 515*T1^6*T2^13 + 447*T1^7*T2^13 - 178*T1^8*T2^13 - 
      261*T1^9*T2^13 + 470*T1^10*T2^13 - 298*T1^11*T2^13 - 181*T1^12*T2^13 + 
      494*T1^13*T2^13 - 577*T1^14*T2^13 + 381*T1^15*T2^13 - 91*T1^16*T2^13 - 
      68*T1^6*T2^14 + 259*T1^7*T2^14 - 426*T1^8*T2^14 + 447*T1^9*T2^14 - 
      243*T1^10*T2^14 - 128*T1^11*T2^14 + 461*T1^12*T2^14 - 577*T1^13*T2^14 + 
      470*T1^14*T2^14 - 253*T1^15*T2^14 + 60*T1^16*T2^14 + 3*T1^7*T2^15 - 
      38*T1^8*T2^15 + 131*T1^9*T2^15 - 259*T1^10*T2^15 + 384*T1^11*T2^15 - 
      432*T1^12*T2^15 + 381*T1^13*T2^15 - 253*T1^14*T2^15 + 122*T1^15*T2^15 - 
      29*T1^16*T2^15 + 7*T1^8*T2^16 - 29*T1^9*T2^16 + 60*T1^10*T2^16 - 
      91*T1^11*T2^16 + 103*T1^12*T2^16 - 91*T1^13*T2^16 + 60*T1^14*T2^16 - 
      29*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 841] -> 
  {-((4 - 16*T + 28*T^2 - 33*T^3 + 28*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -((-336 + 1336*T1 - 2328*T1^2 + 2744*T1^3 - 2328*T1^4 + 1336*T1^5 - 
      336*T1^6 + 1336*T2 - 4236*T1*T2 + 4976*T1^2*T2 - 3448*T1^3*T2 + 
      456*T1^4*T2 + 2160*T1^5*T2 - 2956*T1^6*T2 + 1080*T1^7*T2 - 2328*T2^2 + 
      4976*T1*T2^2 - 492*T1^2*T2^2 - 5203*T1^3*T2^2 + 9276*T1^4*T2^2 - 
      9011*T1^5*T2^2 + 4884*T1^6*T2^2 + 1392*T1^7*T2^2 - 1432*T1^8*T2^2 + 
      2744*T2^3 - 3448*T1*T2^3 - 5203*T1^2*T2^3 + 8684*T1^3*T2^3 - 
      7719*T1^4*T2^3 + 2185*T1^5*T2^3 + 3624*T1^6*T2^3 - 7331*T1^7*T2^3 + 
      1096*T1^8*T2^3 + 1160*T1^9*T2^3 - 2328*T2^4 + 456*T1*T2^4 + 
      9276*T1^2*T2^4 - 7719*T1^3*T2^4 + 3288*T1^4*T2^4 + 2320*T1^5*T2^4 - 
      3912*T1^6*T2^4 + 2841*T1^7*T2^4 + 4924*T1^8*T2^4 - 2488*T1^9*T2^4 - 
      536*T1^10*T2^4 + 1336*T2^5 + 2160*T1*T2^5 - 9011*T1^2*T2^5 + 
      2185*T1^3*T2^5 + 2320*T1^4*T2^5 - 3590*T1^5*T2^5 + 38*T1^6*T2^5 + 
      2432*T1^7*T2^5 - 6407*T1^8*T2^5 - 163*T1^9*T2^5 + 1904*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2956*T1*T2^6 + 4884*T1^2*T2^6 + 
      3624*T1^3*T2^6 - 3912*T1^4*T2^6 + 38*T1^5*T2^6 + 4236*T1^6*T2^6 - 
      3578*T1^7*T2^6 + 2616*T1^8*T2^6 + 4040*T1^9*T2^6 - 2540*T1^10*T2^6 - 
      396*T1^11*T2^6 + 48*T1^12*T2^6 + 1080*T1*T2^7 + 1392*T1^2*T2^7 - 
      7331*T1^3*T2^7 + 2841*T1^4*T2^7 + 2432*T1^5*T2^7 - 3578*T1^6*T2^7 + 
      50*T1^7*T2^7 + 2544*T1^8*T2^7 - 5751*T1^9*T2^7 + 1517*T1^10*T2^7 + 
      1136*T1^11*T2^7 - 200*T1^12*T2^7 - 1432*T1^2*T2^8 + 1096*T1^3*T2^8 + 
      4924*T1^4*T2^8 - 6407*T1^5*T2^8 + 2616*T1^6*T2^8 + 2544*T1^7*T2^8 - 
      4584*T1^8*T2^8 + 4153*T1^9*T2^8 + 572*T1^10*T2^8 - 1848*T1^11*T2^8 + 
      360*T1^12*T2^8 + 1160*T1^3*T2^9 - 2488*T1^4*T2^9 - 163*T1^5*T2^9 + 
      4040*T1^6*T2^9 - 5751*T1^7*T2^9 + 4153*T1^8*T2^9 - 1020*T1^9*T2^9 - 
      2291*T1^10*T2^9 + 2056*T1^11*T2^9 - 424*T1^12*T2^9 - 536*T1^4*T2^10 + 
      1904*T1^5*T2^10 - 2540*T1^6*T2^10 + 1517*T1^7*T2^10 + 572*T1^8*T2^10 - 
      2291*T1^9*T2^10 + 2836*T1^10*T2^10 - 1680*T1^11*T2^10 + 
      360*T1^12*T2^10 + 56*T1^5*T2^11 - 396*T1^6*T2^11 + 1136*T1^7*T2^11 - 
      1848*T1^8*T2^11 + 2056*T1^9*T2^11 - 1680*T1^10*T2^11 + 
      884*T1^11*T2^11 - 200*T1^12*T2^11 + 48*T1^6*T2^12 - 200*T1^7*T2^12 + 
      360*T1^8*T2^12 - 424*T1^9*T2^12 + 360*T1^10*T2^12 - 200*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 842] -> 
  {(3 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-99 + 365*T1 - 662*T1^2 + 761*T1^3 - 662*T1^4 + 365*T1^5 - 99*T1^6 + 
     365*T2 - 1079*T1*T2 + 1458*T1^2*T2 - 1025*T1^3*T2 + 394*T1^4*T2 + 
     435*T1^5*T2 - 617*T1^6*T2 + 266*T1^7*T2 - 662*T2^2 + 1458*T1*T2^2 - 
     1060*T1^2*T2^2 - 499*T1^3*T2^2 + 1306*T1^4*T2^2 - 1939*T1^5*T2^2 + 
     980*T1^6*T2^2 + 138*T1^7*T2^2 - 302*T1^8*T2^2 + 761*T2^3 - 
     1025*T1*T2^3 - 499*T1^2*T2^3 + 2345*T1^3*T2^3 - 1842*T1^4*T2^3 + 
     1201*T1^5*T2^3 + 907*T1^6*T2^3 - 1559*T1^7*T2^3 + 592*T1^8*T2^3 + 
     140*T1^9*T2^3 - 662*T2^4 + 394*T1*T2^4 + 1306*T1^2*T2^4 - 
     1842*T1^3*T2^4 - 459*T1^4*T2^4 + 1461*T1^5*T2^4 - 2451*T1^6*T2^4 + 
     1240*T1^7*T2^4 + 540*T1^8*T2^4 - 728*T1^9*T2^4 + 58*T1^10*T2^4 + 
     365*T2^5 + 435*T1*T2^5 - 1939*T1^2*T2^5 + 1201*T1^3*T2^5 + 
     1461*T1^4*T2^5 - 1261*T1^5*T2^5 + 369*T1^6*T2^5 + 1061*T1^7*T2^5 - 
     1764*T1^8*T2^5 + 641*T1^9*T2^5 + 270*T1^10*T2^5 - 130*T1^11*T2^5 - 
     99*T2^6 - 617*T1*T2^6 + 980*T1^2*T2^6 + 907*T1^3*T2^6 - 2451*T1^4*T2^6 + 
     369*T1^5*T2^6 + 1500*T1^6*T2^6 - 1597*T1^7*T2^6 + 1097*T1^8*T2^6 + 
     545*T1^9*T2^6 - 864*T1^10*T2^6 + 241*T1^11*T2^6 + 63*T1^12*T2^6 + 
     266*T1*T2^7 + 138*T1^2*T2^7 - 1559*T1^3*T2^7 + 1240*T1^4*T2^7 + 
     1061*T1^5*T2^7 - 1597*T1^6*T2^7 + 33*T1^7*T2^7 + 661*T1^8*T2^7 - 
     1725*T1^9*T2^7 + 1021*T1^10*T2^7 - 27*T1^11*T2^7 - 229*T1^12*T2^7 - 
     302*T1^2*T2^8 + 592*T1^3*T2^8 + 540*T1^4*T2^8 - 1764*T1^5*T2^8 + 
     1097*T1^6*T2^8 + 661*T1^7*T2^8 - 895*T1^8*T2^8 + 1318*T1^9*T2^8 - 
     226*T1^10*T2^8 - 530*T1^11*T2^8 + 418*T1^12*T2^8 + 140*T1^3*T2^9 - 
     728*T1^4*T2^9 + 641*T1^5*T2^9 + 545*T1^6*T2^9 - 1725*T1^7*T2^9 + 
     1318*T1^8*T2^9 - 893*T1^9*T2^9 - 419*T1^10*T2^9 + 889*T1^11*T2^9 - 
     481*T1^12*T2^9 + 58*T1^4*T2^10 + 270*T1^5*T2^10 - 864*T1^6*T2^10 + 
     1021*T1^7*T2^10 - 226*T1^8*T2^10 - 419*T1^9*T2^10 + 1176*T1^10*T2^10 - 
     1050*T1^11*T2^10 + 418*T1^12*T2^10 - 130*T1^5*T2^11 + 241*T1^6*T2^11 - 
     27*T1^7*T2^11 - 530*T1^8*T2^11 + 889*T1^9*T2^11 - 1050*T1^10*T2^11 + 
     703*T1^11*T2^11 - 229*T1^12*T2^11 + 63*T1^6*T2^12 - 229*T1^7*T2^12 + 
     418*T1^8*T2^12 - 481*T1^9*T2^12 + 418*T1^10*T2^12 - 229*T1^11*T2^12 + 
     63*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 843] -> 
  {-((3 - 11*T + 18*T^2 - 21*T^3 + 18*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-144 + 526*T1 - 858*T1^2 + 1002*T1^3 - 858*T1^4 + 526*T1^5 - 144*T1^6 + 
      526*T2 - 1495*T1*T2 + 1577*T1^2*T2 - 1120*T1^3*T2 + 167*T1^4*T2 + 
      620*T1^5*T2 - 1033*T1^6*T2 + 427*T1^7*T2 - 858*T2^2 + 1577*T1*T2^2 + 
      69*T1^2*T2^2 - 1471*T1^3*T2^2 + 2689*T1^4*T2^2 - 2551*T1^5*T2^2 + 
      1689*T1^6*T2^2 + 389*T1^7*T2^2 - 534*T1^8*T2^2 + 1002*T2^3 - 
      1120*T1*T2^3 - 1471*T1^2*T2^3 + 1805*T1^3*T2^3 - 1836*T1^4*T2^3 + 
      405*T1^5*T2^3 + 599*T1^6*T2^3 - 2101*T1^7*T2^3 + 365*T1^8*T2^3 + 
      435*T1^9*T2^3 - 858*T2^4 + 167*T1*T2^4 + 2689*T1^2*T2^4 - 
      1836*T1^3*T2^4 + 1526*T1^4*T2^4 - 178*T1^5*T2^4 + 146*T1^6*T2^4 + 
      558*T1^7*T2^4 + 1495*T1^8*T2^4 - 823*T1^9*T2^4 - 210*T1^10*T2^4 + 
      526*T2^5 + 620*T1*T2^5 - 2551*T1^2*T2^5 + 405*T1^3*T2^5 - 
      178*T1^4*T2^5 - 353*T1^5*T2^5 - 527*T1^6*T2^5 + 146*T1^7*T2^5 - 
      1530*T1^8*T2^5 - 121*T1^9*T2^5 + 653*T1^10*T2^5 + 31*T1^11*T2^5 - 
      144*T2^6 - 1033*T1*T2^6 + 1689*T1^2*T2^6 + 599*T1^3*T2^6 + 
      146*T1^4*T2^6 - 527*T1^5*T2^6 + 1212*T1^6*T2^6 - 341*T1^7*T2^6 + 
      674*T1^8*T2^6 + 1049*T1^9*T2^6 - 719*T1^10*T2^6 - 175*T1^11*T2^6 + 
      18*T1^12*T2^6 + 427*T1*T2^7 + 389*T1^2*T2^7 - 2101*T1^3*T2^7 + 
      558*T1^4*T2^7 + 146*T1^5*T2^7 - 341*T1^6*T2^7 - 515*T1^7*T2^7 + 
      470*T1^8*T2^7 - 1377*T1^9*T2^7 + 329*T1^10*T2^7 + 422*T1^11*T2^7 - 
      68*T1^12*T2^7 - 534*T1^2*T2^8 + 365*T1^3*T2^8 + 1495*T1^4*T2^8 - 
      1530*T1^5*T2^8 + 674*T1^6*T2^8 + 470*T1^7*T2^8 - 706*T1^8*T2^8 + 
      864*T1^9*T2^8 + 301*T1^10*T2^8 - 625*T1^11*T2^8 + 114*T1^12*T2^8 + 
      435*T1^3*T2^9 - 823*T1^4*T2^9 - 121*T1^5*T2^9 + 1049*T1^6*T2^9 - 
      1377*T1^7*T2^9 + 864*T1^8*T2^9 - 157*T1^9*T2^9 - 751*T1^10*T2^9 + 
      662*T1^11*T2^9 - 132*T1^12*T2^9 - 210*T1^4*T2^10 + 653*T1^5*T2^10 - 
      719*T1^6*T2^10 + 329*T1^7*T2^10 + 301*T1^8*T2^10 - 751*T1^9*T2^10 + 
      901*T1^10*T2^10 - 535*T1^11*T2^10 + 114*T1^12*T2^10 + 31*T1^5*T2^11 - 
      175*T1^6*T2^11 + 422*T1^7*T2^11 - 625*T1^8*T2^11 + 662*T1^9*T2^11 - 
      535*T1^10*T2^11 + 287*T1^11*T2^11 - 68*T1^12*T2^11 + 18*T1^6*T2^12 - 
      68*T1^7*T2^12 + 114*T1^8*T2^12 - 132*T1^9*T2^12 + 114*T1^10*T2^12 - 
      68*T1^11*T2^12 + 18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 844] -> 
  {-((1 - 8*T + 24*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 24*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 120*T1^2 + 215*T1^3 - 255*T1^4 + 215*T1^5 - 
      120*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 705*T1^2*T2 - 
      954*T1^3*T2 + 665*T1^4*T2 - 87*T1^5*T2 - 418*T1^6*T2 + 449*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 120*T2^2 + 705*T1*T2^2 - 910*T1^2*T2^2 - 
      407*T1^3*T2^2 + 3178*T1^4*T2^2 - 4828*T1^5*T2^2 + 4474*T1^6*T2^2 - 
      2087*T1^7*T2^2 + 194*T1^8*T2^2 + 321*T1^9*T2^2 - 72*T1^10*T2^2 + 
      215*T2^3 - 954*T1*T2^3 - 407*T1^2*T2^3 + 4733*T1^3*T2^3 - 
      9067*T1^4*T2^3 + 7304*T1^5*T2^3 - 2101*T1^6*T2^3 - 3814*T1^7*T2^3 + 
      4265*T1^8*T2^3 - 1775*T1^9*T2^3 - 114*T1^10*T2^3 + 86*T1^11*T2^3 - 
      255*T2^4 + 665*T1*T2^4 + 3178*T1^2*T2^4 - 9067*T1^3*T2^4 + 
      10105*T1^4*T2^4 - 308*T1^5*T2^4 - 7941*T1^6*T2^4 + 11128*T1^7*T2^4 - 
      3775*T1^8*T2^4 - 2015*T1^9*T2^4 + 2570*T1^10*T2^4 - 279*T1^11*T2^4 - 
      51*T1^12*T2^4 + 215*T2^5 - 87*T1*T2^5 - 4828*T1^2*T2^5 + 
      7304*T1^3*T2^5 - 308*T1^4*T2^5 - 14551*T1^5*T2^5 + 15132*T1^6*T2^5 - 
      6748*T1^7*T2^5 - 8163*T1^8*T2^5 + 9559*T1^9*T2^5 - 3539*T1^10*T2^5 - 
      1228*T1^11*T2^5 + 409*T1^12*T2^5 - 120*T2^6 - 418*T1*T2^6 + 
      4474*T1^2*T2^6 - 2101*T1^3*T2^6 - 7941*T1^4*T2^6 + 15132*T1^5*T2^6 - 
      97*T1^6*T2^6 - 14397*T1^7*T2^6 + 21151*T1^8*T2^6 - 7940*T1^9*T2^6 - 
      3461*T1^10*T2^6 + 5147*T1^11*T2^6 - 630*T1^12*T2^6 - 194*T1^13*T2^6 + 
      24*T1^14*T2^6 + 40*T2^7 + 449*T1*T2^7 - 2087*T1^2*T2^7 - 
      3814*T1^3*T2^7 + 11128*T1^4*T2^7 - 6748*T1^5*T2^7 - 14397*T1^6*T2^7 + 
      19387*T1^7*T2^7 - 9539*T1^8*T2^7 - 9234*T1^9*T2^7 + 12748*T1^10*T2^7 - 
      5015*T1^11*T2^7 - 1871*T1^12*T2^7 + 1153*T1^13*T2^7 - 63*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 194*T1^2*T2^8 + 4265*T1^3*T2^8 - 
      3775*T1^4*T2^8 - 8163*T1^5*T2^8 + 21151*T1^6*T2^8 - 9539*T1^7*T2^8 - 
      9216*T1^8*T2^8 + 18435*T1^9*T2^8 - 9399*T1^10*T2^8 - 2941*T1^11*T2^8 + 
      5833*T1^12*T2^8 - 1597*T1^13*T2^8 - 382*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 321*T1^2*T2^9 - 1775*T1^3*T2^9 - 
      2015*T1^4*T2^9 + 9559*T1^5*T2^9 - 7940*T1^6*T2^9 - 9234*T1^7*T2^9 + 
      18435*T1^8*T2^9 - 10491*T1^9*T2^9 - 4071*T1^10*T2^9 + 
      11556*T1^11*T2^9 - 6584*T1^12*T2^9 - 72*T1^13*T2^9 + 1465*T1^14*T2^9 - 
      191*T1^15*T2^9 - 24*T1^16*T2^9 - 72*T1^2*T2^10 - 114*T1^3*T2^10 + 
      2570*T1^4*T2^10 - 3539*T1^5*T2^10 - 3461*T1^6*T2^10 + 
      12748*T1^7*T2^10 - 9399*T1^8*T2^10 - 4071*T1^9*T2^10 + 
      11849*T1^10*T2^10 - 10324*T1^11*T2^10 + 1019*T1^12*T2^10 + 
      3709*T1^13*T2^10 - 2534*T1^14*T2^10 + 110*T1^15*T2^10 + 
      72*T1^16*T2^10 + 86*T1^3*T2^11 - 279*T1^4*T2^11 - 1228*T1^5*T2^11 + 
      5147*T1^6*T2^11 - 5015*T1^7*T2^11 - 2941*T1^8*T2^11 + 
      11556*T1^9*T2^11 - 10324*T1^10*T2^11 + 3447*T1^11*T2^11 + 
      4852*T1^12*T2^11 - 5696*T1^13*T2^11 + 2372*T1^14*T2^11 + 
      217*T1^15*T2^11 - 129*T1^16*T2^11 - 51*T1^4*T2^12 + 409*T1^5*T2^12 - 
      630*T1^6*T2^12 - 1871*T1^7*T2^12 + 5833*T1^8*T2^12 - 6584*T1^9*T2^12 + 
      1019*T1^10*T2^12 + 4852*T1^11*T2^12 - 8047*T1^12*T2^12 + 
      5181*T1^13*T2^12 - 1238*T1^14*T2^12 - 535*T1^15*T2^12 + 
      153*T1^16*T2^12 - 194*T1^6*T2^13 + 1153*T1^7*T2^13 - 1597*T1^8*T2^13 - 
      72*T1^9*T2^13 + 3709*T1^10*T2^13 - 5696*T1^11*T2^13 + 
      5181*T1^12*T2^13 - 2065*T1^13*T2^13 - 215*T1^14*T2^13 + 
      646*T1^15*T2^13 - 129*T1^16*T2^13 + 24*T1^6*T2^14 - 63*T1^7*T2^14 - 
      382*T1^8*T2^14 + 1465*T1^9*T2^14 - 2534*T1^10*T2^14 + 
      2372*T1^11*T2^14 - 1238*T1^12*T2^14 - 215*T1^13*T2^14 + 
      722*T1^14*T2^14 - 447*T1^15*T2^14 + 72*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 191*T1^9*T2^15 + 110*T1^10*T2^15 + 217*T1^11*T2^15 - 
      535*T1^12*T2^15 + 646*T1^13*T2^15 - 447*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
      129*T1^11*T2^16 + 153*T1^12*T2^16 - 129*T1^13*T2^16 + 72*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 845] -> 
  {(4 - 14*T + 24*T^2 - 27*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (-240 + 840*T1 - 1432*T1^2 + 1608*T1^3 - 1432*T1^4 + 840*T1^5 - 240*T1^6 + 
     840*T2 - 2322*T1*T2 + 2852*T1^2*T2 - 1958*T1^3*T2 + 898*T1^4*T2 + 
     724*T1^5*T2 - 1314*T1^6*T2 + 616*T1^7*T2 - 1432*T2^2 + 2852*T1*T2^2 - 
     1555*T1^2*T2^2 - 1228*T1^3*T2^2 + 2371*T1^4*T2^2 - 3724*T1^5*T2^2 + 
     2285*T1^6*T2^2 + 164*T1^7*T2^2 - 664*T1^8*T2^2 + 1608*T2^3 - 
     1958*T1*T2^3 - 1228*T1^2*T2^3 + 3890*T1^3*T2^3 - 2673*T1^4*T2^3 + 
     2151*T1^5*T2^3 + 1166*T1^6*T2^3 - 2956*T1^7*T2^3 + 1234*T1^8*T2^3 + 
     312*T1^9*T2^3 - 1432*T2^4 + 898*T1*T2^4 + 2371*T1^2*T2^4 - 
     2673*T1^3*T2^4 - 1024*T1^4*T2^4 + 1668*T1^5*T2^4 - 3172*T1^6*T2^4 + 
     2079*T1^7*T2^4 + 1003*T1^8*T2^4 - 1454*T1^9*T2^4 + 104*T1^10*T2^4 + 
     840*T2^5 + 724*T1*T2^5 - 3724*T1^2*T2^5 + 2151*T1^3*T2^5 + 
     1668*T1^4*T2^5 - 344*T1^5*T2^5 - 560*T1^6*T2^5 + 1572*T1^7*T2^5 - 
     2817*T1^8*T2^5 + 1076*T1^9*T2^5 + 612*T1^10*T2^5 - 280*T1^11*T2^5 - 
     240*T2^6 - 1314*T1*T2^6 + 2285*T1^2*T2^6 + 1166*T1^3*T2^6 - 
     3172*T1^4*T2^6 - 560*T1^5*T2^6 + 2172*T1^6*T2^6 - 1200*T1^7*T2^6 + 
     1004*T1^8*T2^6 + 1262*T1^9*T2^6 - 1779*T1^10*T2^6 + 478*T1^11*T2^6 + 
     144*T1^12*T2^6 + 616*T1*T2^7 + 164*T1^2*T2^7 - 2956*T1^3*T2^7 + 
     2079*T1^4*T2^7 + 1572*T1^5*T2^7 - 1200*T1^6*T2^7 - 1416*T1^7*T2^7 + 
     1476*T1^8*T2^7 - 2889*T1^9*T2^7 + 1844*T1^10*T2^7 + 52*T1^11*T2^7 - 
     504*T1^12*T2^7 - 664*T1^2*T2^8 + 1234*T1^3*T2^8 + 1003*T1^4*T2^8 - 
     2817*T1^5*T2^8 + 1004*T1^6*T2^8 + 1476*T1^7*T2^8 - 1144*T1^8*T2^8 + 
     1935*T1^9*T2^8 - 365*T1^10*T2^8 - 1118*T1^11*T2^8 + 872*T1^12*T2^8 + 
     312*T1^3*T2^9 - 1454*T1^4*T2^9 + 1076*T1^5*T2^9 + 1262*T1^6*T2^9 - 
     2889*T1^7*T2^9 + 1935*T1^8*T2^9 - 1462*T1^9*T2^9 - 652*T1^10*T2^9 + 
     1738*T1^11*T2^9 - 984*T1^12*T2^9 + 104*T1^4*T2^10 + 612*T1^5*T2^10 - 
     1779*T1^6*T2^10 + 1844*T1^7*T2^10 - 365*T1^8*T2^10 - 652*T1^9*T2^10 + 
     2061*T1^10*T2^10 - 2076*T1^11*T2^10 + 872*T1^12*T2^10 - 280*T1^5*T2^11 + 
     478*T1^6*T2^11 + 52*T1^7*T2^11 - 1118*T1^8*T2^11 + 1738*T1^9*T2^11 - 
     2076*T1^10*T2^11 + 1486*T1^11*T2^11 - 504*T1^12*T2^11 + 144*T1^6*T2^12 - 
     504*T1^7*T2^12 + 872*T1^8*T2^12 - 984*T1^9*T2^12 + 872*T1^10*T2^12 - 
     504*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 846] -> 
  {-((1 - 8*T + 24*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 24*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 120*T1^2 + 215*T1^3 - 255*T1^4 + 215*T1^5 - 
      120*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 705*T1^2*T2 - 
      954*T1^3*T2 + 665*T1^4*T2 - 87*T1^5*T2 - 418*T1^6*T2 + 449*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 120*T2^2 + 705*T1*T2^2 - 910*T1^2*T2^2 - 
      407*T1^3*T2^2 + 3180*T1^4*T2^2 - 4832*T1^5*T2^2 + 4476*T1^6*T2^2 - 
      2087*T1^7*T2^2 + 194*T1^8*T2^2 + 321*T1^9*T2^2 - 72*T1^10*T2^2 + 
      215*T2^3 - 954*T1*T2^3 - 407*T1^2*T2^3 + 4729*T1^3*T2^3 - 
      9063*T1^4*T2^3 + 7304*T1^5*T2^3 - 2101*T1^6*T2^3 - 3810*T1^7*T2^3 + 
      4261*T1^8*T2^3 - 1775*T1^9*T2^3 - 114*T1^10*T2^3 + 86*T1^11*T2^3 - 
      255*T2^4 + 665*T1*T2^4 + 3180*T1^2*T2^4 - 9063*T1^3*T2^4 + 
      10101*T1^4*T2^4 - 308*T1^5*T2^4 - 7945*T1^6*T2^4 + 11128*T1^7*T2^4 - 
      3779*T1^8*T2^4 - 2011*T1^9*T2^4 + 2572*T1^10*T2^4 - 279*T1^11*T2^4 - 
      51*T1^12*T2^4 + 215*T2^5 - 87*T1*T2^5 - 4832*T1^2*T2^5 + 
      7304*T1^3*T2^5 - 308*T1^4*T2^5 - 14551*T1^5*T2^5 + 15136*T1^6*T2^5 - 
      6744*T1^7*T2^5 - 8163*T1^8*T2^5 + 9559*T1^9*T2^5 - 3539*T1^10*T2^5 - 
      1232*T1^11*T2^5 + 409*T1^12*T2^5 - 120*T2^6 - 418*T1*T2^6 + 
      4476*T1^2*T2^6 - 2101*T1^3*T2^6 - 7945*T1^4*T2^6 + 15136*T1^5*T2^6 - 
      97*T1^6*T2^6 - 14401*T1^7*T2^6 + 21151*T1^8*T2^6 - 7936*T1^9*T2^6 - 
      3465*T1^10*T2^6 + 5147*T1^11*T2^6 - 628*T1^12*T2^6 - 194*T1^13*T2^6 + 
      24*T1^14*T2^6 + 40*T2^7 + 449*T1*T2^7 - 2087*T1^2*T2^7 - 
      3810*T1^3*T2^7 + 11128*T1^4*T2^7 - 6744*T1^5*T2^7 - 14401*T1^6*T2^7 + 
      19383*T1^7*T2^7 - 9543*T1^8*T2^7 - 9238*T1^9*T2^7 + 12752*T1^10*T2^7 - 
      5015*T1^11*T2^7 - 1867*T1^12*T2^7 + 1153*T1^13*T2^7 - 63*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 194*T1^2*T2^8 + 4261*T1^3*T2^8 - 
      3779*T1^4*T2^8 - 8163*T1^5*T2^8 + 21151*T1^6*T2^8 - 9543*T1^7*T2^8 - 
      9192*T1^8*T2^8 + 18431*T1^9*T2^8 - 9399*T1^10*T2^8 - 2941*T1^11*T2^8 + 
      5829*T1^12*T2^8 - 1601*T1^13*T2^8 - 382*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 321*T1^2*T2^9 - 1775*T1^3*T2^9 - 
      2011*T1^4*T2^9 + 9559*T1^5*T2^9 - 7936*T1^6*T2^9 - 9238*T1^7*T2^9 + 
      18431*T1^8*T2^9 - 10495*T1^9*T2^9 - 4075*T1^10*T2^9 + 
      11560*T1^11*T2^9 - 6584*T1^12*T2^9 - 68*T1^13*T2^9 + 1465*T1^14*T2^9 - 
      191*T1^15*T2^9 - 24*T1^16*T2^9 - 72*T1^2*T2^10 - 114*T1^3*T2^10 + 
      2572*T1^4*T2^10 - 3539*T1^5*T2^10 - 3465*T1^6*T2^10 + 
      12752*T1^7*T2^10 - 9399*T1^8*T2^10 - 4075*T1^9*T2^10 + 
      11849*T1^10*T2^10 - 10320*T1^11*T2^10 + 1015*T1^12*T2^10 + 
      3709*T1^13*T2^10 - 2532*T1^14*T2^10 + 110*T1^15*T2^10 + 
      72*T1^16*T2^10 + 86*T1^3*T2^11 - 279*T1^4*T2^11 - 1232*T1^5*T2^11 + 
      5147*T1^6*T2^11 - 5015*T1^7*T2^11 - 2941*T1^8*T2^11 + 
      11560*T1^9*T2^11 - 10320*T1^10*T2^11 + 3447*T1^11*T2^11 + 
      4852*T1^12*T2^11 - 5696*T1^13*T2^11 + 2368*T1^14*T2^11 + 
      217*T1^15*T2^11 - 129*T1^16*T2^11 - 51*T1^4*T2^12 + 409*T1^5*T2^12 - 
      628*T1^6*T2^12 - 1867*T1^7*T2^12 + 5829*T1^8*T2^12 - 6584*T1^9*T2^12 + 
      1015*T1^10*T2^12 + 4852*T1^11*T2^12 - 8051*T1^12*T2^12 + 
      5185*T1^13*T2^12 - 1236*T1^14*T2^12 - 535*T1^15*T2^12 + 
      153*T1^16*T2^12 - 194*T1^6*T2^13 + 1153*T1^7*T2^13 - 1601*T1^8*T2^13 - 
      68*T1^9*T2^13 + 3709*T1^10*T2^13 - 5696*T1^11*T2^13 + 
      5185*T1^12*T2^13 - 2069*T1^13*T2^13 - 215*T1^14*T2^13 + 
      646*T1^15*T2^13 - 129*T1^16*T2^13 + 24*T1^6*T2^14 - 63*T1^7*T2^14 - 
      382*T1^8*T2^14 + 1465*T1^9*T2^14 - 2532*T1^10*T2^14 + 
      2368*T1^11*T2^14 - 1236*T1^12*T2^14 - 215*T1^13*T2^14 + 
      722*T1^14*T2^14 - 447*T1^15*T2^14 + 72*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 191*T1^9*T2^15 + 110*T1^10*T2^15 + 217*T1^11*T2^15 - 
      535*T1^12*T2^15 + 646*T1^13*T2^15 - 447*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 72*T1^10*T2^16 - 
      129*T1^11*T2^16 + 153*T1^12*T2^16 - 129*T1^13*T2^16 + 72*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 847] -> 
  {(1 - 8*T + 24*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 24*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 144*T1^2 + 234*T1^3 - 270*T1^4 + 234*T1^5 - 144*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 831*T1^2*T2 - 910*T1^3*T2 + 
     599*T1^4*T2 - 73*T1^5*T2 - 406*T1^6*T2 + 575*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 144*T2^2 + 831*T1*T2^2 - 1000*T1^2*T2^2 - 1238*T1^3*T2^2 + 
     3580*T1^4*T2^2 - 4896*T1^5*T2^2 + 4588*T1^6*T2^2 - 2726*T1^7*T2^2 + 
     104*T1^8*T2^2 + 447*T1^9*T2^2 - 96*T1^10*T2^2 + 234*T2^3 - 910*T1*T2^3 - 
     1238*T1^2*T2^3 + 7683*T1^3*T2^3 - 9250*T1^4*T2^3 + 6860*T1^5*T2^3 - 
     1897*T1^6*T2^3 - 3355*T1^7*T2^3 + 6219*T1^8*T2^3 - 2318*T1^9*T2^3 - 
     166*T1^10*T2^3 + 117*T1^11*T2^3 - 270*T2^4 + 599*T1*T2^4 + 
     3580*T1^2*T2^4 - 9250*T1^3*T2^4 + 1097*T1^4*T2^4 + 8259*T1^5*T2^4 - 
     14849*T1^6*T2^4 + 15783*T1^7*T2^4 - 10327*T1^8*T2^4 - 1918*T1^9*T2^4 + 
     2908*T1^10*T2^4 - 217*T1^11*T2^4 - 90*T1^12*T2^4 + 234*T2^5 - 
     73*T1*T2^5 - 4896*T1^2*T2^5 + 6860*T1^3*T2^5 + 8259*T1^4*T2^5 - 
     13631*T1^5*T2^5 + 11946*T1^6*T2^5 - 4878*T1^7*T2^5 - 4103*T1^8*T2^5 + 
     12732*T1^9*T2^5 - 3031*T1^10*T2^5 - 1872*T1^11*T2^5 + 407*T1^12*T2^5 + 
     39*T1^13*T2^5 - 144*T2^6 - 406*T1*T2^6 + 4588*T1^2*T2^6 - 
     1897*T1^3*T2^6 - 14849*T1^4*T2^6 + 11946*T1^5*T2^6 - 5044*T1^6*T2^6 - 
     1420*T1^7*T2^6 + 4940*T1^8*T2^6 - 5718*T1^9*T2^6 - 7361*T1^10*T2^6 + 
     5159*T1^11*T2^6 + 220*T1^12*T2^6 - 310*T1^13*T2^6 + 48*T2^7 + 
     575*T1*T2^7 - 2726*T1^2*T2^7 - 3355*T1^3*T2^7 + 15783*T1^4*T2^7 - 
     4878*T1^5*T2^7 - 1420*T1^6*T2^7 + 1435*T1^7*T2^7 + 703*T1^8*T2^7 - 
     2623*T1^9*T2^7 + 10266*T1^10*T2^7 - 894*T1^11*T2^7 - 3502*T1^12*T2^7 + 
     802*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     104*T1^2*T2^8 + 6219*T1^3*T2^8 - 10327*T1^4*T2^8 - 4103*T1^5*T2^8 + 
     4940*T1^6*T2^8 + 703*T1^7*T2^8 - 2616*T1^8*T2^8 + 1929*T1^9*T2^8 - 
     2770*T1^10*T2^8 - 7025*T1^11*T2^8 + 6017*T1^12*T2^8 - 267*T1^13*T2^8 - 
     472*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     447*T1^2*T2^9 - 2318*T1^3*T2^9 - 1918*T1^4*T2^9 + 12732*T1^5*T2^9 - 
     5718*T1^6*T2^9 - 2623*T1^7*T2^9 + 1929*T1^8*T2^9 + 1197*T1^9*T2^9 - 
     3826*T1^10*T2^9 + 9426*T1^11*T2^9 - 3945*T1^12*T2^9 - 2065*T1^13*T2^9 + 
     1210*T1^14*T2^9 - 65*T1^15*T2^9 - 16*T1^16*T2^9 - 96*T1^2*T2^10 - 
     166*T1^3*T2^10 + 2908*T1^4*T2^10 - 3031*T1^5*T2^10 - 7361*T1^6*T2^10 + 
     10266*T1^7*T2^10 - 2770*T1^8*T2^10 - 3826*T1^9*T2^10 + 
     7214*T1^10*T2^10 - 7398*T1^11*T2^10 + 127*T1^12*T2^10 + 
     4025*T1^13*T2^10 - 1460*T1^14*T2^10 - 70*T1^15*T2^10 + 48*T1^16*T2^10 + 
     117*T1^3*T2^11 - 217*T1^4*T2^11 - 1872*T1^5*T2^11 + 5159*T1^6*T2^11 - 
     894*T1^7*T2^11 - 7025*T1^8*T2^11 + 9426*T1^9*T2^11 - 7398*T1^10*T2^11 + 
     2503*T1^11*T2^11 + 3579*T1^12*T2^11 - 4732*T1^13*T2^11 + 
     1152*T1^14*T2^11 + 263*T1^15*T2^11 - 78*T1^16*T2^11 - 90*T1^4*T2^12 + 
     407*T1^5*T2^12 + 220*T1^6*T2^12 - 3502*T1^7*T2^12 + 6017*T1^8*T2^12 - 
     3945*T1^9*T2^12 + 127*T1^10*T2^12 + 3579*T1^11*T2^12 - 
     5407*T1^12*T2^12 + 3830*T1^13*T2^12 - 452*T1^14*T2^12 - 
     409*T1^15*T2^12 + 90*T1^16*T2^12 + 39*T1^5*T2^13 - 310*T1^6*T2^13 + 
     802*T1^7*T2^13 - 267*T1^8*T2^13 - 2065*T1^9*T2^13 + 4025*T1^10*T2^13 - 
     4732*T1^11*T2^13 + 3830*T1^12*T2^13 - 1731*T1^13*T2^13 - 
     278*T1^14*T2^13 + 434*T1^15*T2^13 - 78*T1^16*T2^13 + 63*T1^7*T2^14 - 
     472*T1^8*T2^14 + 1210*T1^9*T2^14 - 1460*T1^10*T2^14 + 1152*T1^11*T2^14 - 
     452*T1^12*T2^14 - 278*T1^13*T2^14 + 632*T1^14*T2^14 - 321*T1^15*T2^14 + 
     48*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 65*T1^9*T2^15 - 
     70*T1^10*T2^15 + 263*T1^11*T2^15 - 409*T1^12*T2^15 + 434*T1^13*T2^15 - 
     321*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 48*T1^10*T2^16 - 78*T1^11*T2^16 + 90*T1^12*T2^16 - 
     78*T1^13*T2^16 + 48*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 848] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/T^4, 
   (-15 + 68*T1 - 160*T1^2 + 238*T1^3 - 269*T1^4 + 238*T1^5 - 160*T1^6 + 
     68*T1^7 - 15*T1^8 + 68*T2 - 276*T1*T2 + 578*T1^2*T2 - 730*T1^3*T2 + 
     698*T1^4*T2 - 490*T1^5*T2 + 206*T1^6*T2 + 38*T1^7*T2 - 78*T1^8*T2 + 
     32*T1^9*T2 - 160*T2^2 + 578*T1*T2^2 - 1041*T1^2*T2^2 + 976*T1^3*T2^2 - 
     553*T1^4*T2^2 - 75*T1^5*T2^2 + 623*T1^6*T2^2 - 872*T1^7*T2^2 + 
     555*T1^8*T2^2 - 178*T1^9*T2^2 + 8*T1^10*T2^2 + 238*T2^3 - 730*T1*T2^3 + 
     976*T1^2*T2^3 - 207*T1^3*T2^3 - 725*T1^4*T2^3 + 1355*T1^5*T2^3 - 
     1447*T1^6*T2^3 + 919*T1^7*T2^3 + 261*T1^8*T2^3 - 851*T1^9*T2^3 + 
     566*T1^10*T2^3 - 134*T1^11*T2^3 - 269*T2^4 + 698*T1*T2^4 - 
     553*T1^2*T2^4 - 725*T1^3*T2^4 + 1417*T1^4*T2^4 - 1114*T1^5*T2^4 + 
     477*T1^6*T2^4 + 538*T1^7*T2^4 - 1619*T1^8*T2^4 + 1197*T1^9*T2^4 + 
     305*T1^10*T2^4 - 706*T1^11*T2^4 + 291*T1^12*T2^4 + 238*T2^5 - 
     490*T1*T2^5 - 75*T1^2*T2^5 + 1355*T1^3*T2^5 - 1114*T1^4*T2^5 - 
     406*T1^5*T2^5 + 1116*T1^6*T2^5 - 2010*T1^7*T2^5 + 2096*T1^8*T2^5 - 
     309*T1^9*T2^5 - 1719*T1^10*T2^5 + 618*T1^11*T2^5 + 410*T1^12*T2^5 - 
     382*T1^13*T2^5 - 160*T2^6 + 206*T1*T2^6 + 623*T1^2*T2^6 - 
     1447*T1^3*T2^6 + 477*T1^4*T2^6 + 1116*T1^5*T2^6 - 388*T1^6*T2^6 + 
     666*T1^7*T2^6 + 428*T1^8*T2^6 - 2208*T1^9*T2^6 + 2631*T1^10*T2^6 + 
     947*T1^11*T2^6 - 1189*T1^12*T2^6 + 170*T1^13*T2^6 + 344*T1^14*T2^6 + 
     68*T2^7 + 38*T1*T2^7 - 872*T1^2*T2^7 + 919*T1^3*T2^7 + 538*T1^4*T2^7 - 
     2010*T1^5*T2^7 + 666*T1^6*T2^7 - 2055*T1^7*T2^7 + 927*T1^8*T2^7 - 
     307*T1^9*T2^7 + 720*T1^10*T2^7 - 3655*T1^11*T2^7 + 387*T1^12*T2^7 + 
     1081*T1^13*T2^7 - 718*T1^14*T2^7 - 184*T1^15*T2^7 - 15*T2^8 - 
     78*T1*T2^8 + 555*T1^2*T2^8 + 261*T1^3*T2^8 - 1619*T1^4*T2^8 + 
     2096*T1^5*T2^8 + 428*T1^6*T2^8 + 927*T1^7*T2^8 + 1704*T1^8*T2^8 - 
     2027*T1^9*T2^8 + 1962*T1^10*T2^8 - 52*T1^11*T2^8 + 4181*T1^12*T2^8 - 
     2557*T1^13*T2^8 + 381*T1^14*T2^8 + 606*T1^15*T2^8 + 49*T1^16*T2^8 + 
     32*T1*T2^9 - 178*T1^2*T2^9 - 851*T1^3*T2^9 + 1197*T1^4*T2^9 - 
     309*T1^5*T2^9 - 2208*T1^6*T2^9 - 307*T1^7*T2^9 - 2027*T1^8*T2^9 + 
     955*T1^9*T2^9 - 1280*T1^10*T2^9 + 522*T1^11*T2^9 - 4502*T1^12*T2^9 + 
     665*T1^13*T2^9 + 1102*T1^14*T2^9 - 934*T1^15*T2^9 - 220*T1^16*T2^9 + 
     8*T1^2*T2^10 + 566*T1^3*T2^10 + 305*T1^4*T2^10 - 1719*T1^5*T2^10 + 
     2631*T1^6*T2^10 + 720*T1^7*T2^10 + 1962*T1^8*T2^10 - 1280*T1^9*T2^10 + 
     2778*T1^10*T2^10 - 2604*T1^11*T2^10 + 4785*T1^12*T2^10 + 
     675*T1^13*T2^10 - 1507*T1^14*T2^10 + 530*T1^15*T2^10 + 512*T1^16*T2^10 - 
     134*T1^3*T2^11 - 706*T1^4*T2^11 + 618*T1^5*T2^11 + 947*T1^6*T2^11 - 
     3655*T1^7*T2^11 - 52*T1^8*T2^11 + 522*T1^9*T2^11 - 2604*T1^10*T2^11 + 
     2450*T1^11*T2^11 - 2850*T1^12*T2^11 - 2127*T1^13*T2^11 + 
     1311*T1^14*T2^11 + 194*T1^15*T2^11 - 754*T1^16*T2^11 + 291*T1^4*T2^12 + 
     410*T1^5*T2^12 - 1189*T1^6*T2^12 + 387*T1^7*T2^12 + 4181*T1^8*T2^12 - 
     4502*T1^9*T2^12 + 4785*T1^10*T2^12 - 2850*T1^11*T2^12 + 
     1145*T1^12*T2^12 + 2309*T1^13*T2^12 - 331*T1^14*T2^12 - 
     994*T1^15*T2^12 + 851*T1^16*T2^12 - 382*T1^5*T2^13 + 170*T1^6*T2^13 + 
     1081*T1^7*T2^13 - 2557*T1^8*T2^13 + 665*T1^9*T2^13 + 675*T1^10*T2^13 - 
     2127*T1^11*T2^13 + 2309*T1^12*T2^13 - 2089*T1^13*T2^13 - 
     746*T1^14*T2^13 + 1466*T1^15*T2^13 - 754*T1^16*T2^13 + 344*T1^6*T2^14 - 
     718*T1^7*T2^14 + 381*T1^8*T2^14 + 1102*T1^9*T2^14 - 1507*T1^10*T2^14 + 
     1311*T1^11*T2^14 - 331*T1^12*T2^14 - 746*T1^13*T2^14 + 
     1977*T1^14*T2^14 - 1474*T1^15*T2^14 + 512*T1^16*T2^14 - 184*T1^7*T2^15 + 
     606*T1^8*T2^15 - 934*T1^9*T2^15 + 530*T1^10*T2^15 + 194*T1^11*T2^15 - 
     994*T1^12*T2^15 + 1466*T1^13*T2^15 - 1474*T1^14*T2^15 + 
     804*T1^15*T2^15 - 220*T1^16*T2^15 + 49*T1^8*T2^16 - 220*T1^9*T2^16 + 
     512*T1^10*T2^16 - 754*T1^11*T2^16 + 851*T1^12*T2^16 - 754*T1^13*T2^16 + 
     512*T1^14*T2^16 - 220*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 849] -> 
  {(4 - 19*T + 43*T^2 - 55*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3, 
   (-112 + 536*T1 - 1220*T1^2 + 1568*T1^3 - 1220*T1^4 + 536*T1^5 - 112*T1^6 + 
     536*T2 - 2332*T1*T2 + 4714*T1^2*T2 - 4930*T1^3*T2 + 2518*T1^4*T2 + 
     2*T1^5*T2 - 584*T1^6*T2 + 232*T1^7*T2 - 1220*T2^2 + 4714*T1*T2^2 - 
     7764*T1^2*T2^2 + 4166*T1^3*T2^2 + 3938*T1^4*T2^2 - 8218*T1^5*T2^2 + 
     5652*T1^6*T2^2 - 1822*T1^7*T2^2 + 156*T1^8*T2^2 + 1568*T2^3 - 
     4930*T1*T2^3 + 4166*T1^2*T2^3 + 8039*T1^3*T2^3 - 20962*T1^4*T2^3 + 
     18184*T1^5*T2^3 - 3675*T1^6*T2^3 - 5423*T1^7*T2^3 + 4342*T1^8*T2^3 - 
     1072*T1^9*T2^3 - 1220*T2^4 + 2518*T1*T2^4 + 3938*T1^2*T2^4 - 
     20962*T1^3*T2^4 + 26784*T1^4*T2^4 - 3846*T1^5*T2^4 - 21624*T1^6*T2^4 + 
     22708*T1^7*T2^4 - 6188*T1^8*T2^4 - 2194*T1^9*T2^4 + 1532*T1^10*T2^4 + 
     536*T2^5 + 2*T1*T2^5 - 8218*T1^2*T2^5 + 18184*T1^3*T2^5 - 
     3846*T1^4*T2^5 - 37654*T1^5*T2^5 + 50894*T1^6*T2^5 - 22207*T1^7*T2^5 - 
     11914*T1^8*T2^5 + 12551*T1^9*T2^5 - 2582*T1^10*T2^5 - 984*T1^11*T2^5 - 
     112*T2^6 - 584*T1*T2^6 + 5652*T1^2*T2^6 - 3675*T1^3*T2^6 - 
     21624*T1^4*T2^6 + 50894*T1^5*T2^6 - 24108*T1^6*T2^6 - 27742*T1^7*T2^6 + 
     47306*T1^8*T2^6 - 17125*T1^9*T2^6 - 2864*T1^10*T2^6 + 3368*T1^11*T2^6 + 
     272*T1^12*T2^6 + 232*T1*T2^7 - 1822*T1^2*T2^7 - 5423*T1^3*T2^7 + 
     22708*T1^4*T2^7 - 22207*T1^5*T2^7 - 27742*T1^6*T2^7 + 60806*T1^7*T2^7 - 
     40568*T1^8*T2^7 - 7390*T1^9*T2^7 + 15346*T1^10*T2^7 - 4406*T1^11*T2^7 - 
     1288*T1^12*T2^7 + 156*T1^2*T2^8 + 4342*T1^3*T2^8 - 6188*T1^4*T2^8 - 
     11914*T1^5*T2^8 + 47306*T1^6*T2^8 - 40568*T1^7*T2^8 - 1102*T1^8*T2^8 + 
     31756*T1^9*T2^8 - 16314*T1^10*T2^8 - 370*T1^11*T2^8 + 2908*T1^12*T2^8 - 
     1072*T1^3*T2^9 - 2194*T1^4*T2^9 + 12551*T1^5*T2^9 - 17125*T1^6*T2^9 - 
     7390*T1^7*T2^9 + 31756*T1^8*T2^9 - 28839*T1^9*T2^9 + 2962*T1^10*T2^9 + 
     7078*T1^11*T2^9 - 3712*T1^12*T2^9 + 1532*T1^4*T2^10 - 2582*T1^5*T2^10 - 
     2864*T1^6*T2^10 + 15346*T1^7*T2^10 - 16314*T1^8*T2^10 + 
     2962*T1^9*T2^10 + 10552*T1^10*T2^10 - 9118*T1^11*T2^10 + 
     2908*T1^12*T2^10 - 984*T1^5*T2^11 + 3368*T1^6*T2^11 - 4406*T1^7*T2^11 - 
     370*T1^8*T2^11 + 7078*T1^9*T2^11 - 9118*T1^10*T2^11 + 5116*T1^11*T2^11 - 
     1288*T1^12*T2^11 + 272*T1^6*T2^12 - 1288*T1^7*T2^12 + 2908*T1^8*T2^12 - 
     3712*T1^9*T2^12 + 2908*T1^10*T2^12 - 1288*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 850] -> 
  {-((1 - 4*T + 8*T^2 - 12*T^3 + 13*T^4 - 13*T^5 + 13*T^6 - 12*T^7 + 8*T^8 - 
      4*T^9 + T^10)/T^5), -((-7 + 28*T1 - 56*T1^2 + 84*T1^3 - 91*T1^4 + 
      91*T1^5 - 91*T1^6 + 84*T1^7 - 56*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 
      88*T1*T2 + 128*T1^2*T2 - 144*T1^3*T2 + 76*T1^4*T2 - 52*T1^5*T2 + 
      52*T1^6*T2 - 24*T1^7*T2 - 64*T1^8*T2 + 80*T1^9*T2 - 68*T1^10*T2 + 
      24*T1^11*T2 - 56*T2^2 + 128*T1*T2^2 - 104*T1^2*T2^2 + 63*T1^3*T2^2 + 
      109*T1^4*T2^2 - 49*T1^5*T2^2 + 10*T1^6*T2^2 - 65*T1^7*T2^2 + 
      189*T1^8*T2^2 - 65*T1^9*T2^2 + 8*T1^10*T2^2 + 64*T1^11*T2^2 - 
      40*T1^12*T2^2 + 84*T2^3 - 144*T1*T2^3 + 63*T1^2*T2^3 - 58*T1^3*T2^3 - 
      141*T1^4*T2^3 - 115*T1^5*T2^3 + 96*T1^6*T2^3 + 28*T1^7*T2^3 - 
      159*T1^8*T2^3 - 113*T1^9*T2^3 + 26*T1^10*T2^3 - 65*T1^11*T2^3 - 
      32*T1^12*T2^3 + 48*T1^13*T2^3 - 91*T2^4 + 76*T1*T2^4 + 109*T1^2*T2^4 - 
      141*T1^3*T2^4 + 469*T1^4*T2^4 - 115*T1^5*T2^4 + 385*T1^6*T2^4 - 
      525*T1^7*T2^4 + 549*T1^8*T2^4 - 103*T1^9*T2^4 + 325*T1^10*T2^4 - 
      93*T1^11*T2^4 + 141*T1^12*T2^4 - 36*T1^13*T2^4 - 39*T1^14*T2^4 + 
      91*T2^5 - 52*T1*T2^5 - 49*T1^2*T2^5 - 115*T1^3*T2^5 - 115*T1^4*T2^5 - 
      405*T1^5*T2^5 - 91*T1^6*T2^5 + 82*T1^7*T2^5 - 22*T1^8*T2^5 - 
      320*T1^9*T2^5 - 227*T1^10*T2^5 - 84*T1^11*T2^5 - 103*T1^12*T2^5 - 
      41*T1^13*T2^5 + 52*T1^14*T2^5 + 26*T1^15*T2^5 - 91*T2^6 + 52*T1*T2^6 + 
      10*T1^2*T2^6 + 96*T1^3*T2^6 + 385*T1^4*T2^6 - 91*T1^5*T2^6 + 
      875*T1^6*T2^6 - 693*T1^7*T2^6 + 671*T1^8*T2^6 - 485*T1^9*T2^6 + 
      979*T1^10*T2^6 - 273*T1^11*T2^6 + 359*T1^12*T2^6 - 8*T1^13*T2^6 + 
      10*T1^14*T2^6 - 52*T1^15*T2^6 - 13*T1^16*T2^6 + 84*T2^7 - 24*T1*T2^7 - 
      65*T1^2*T2^7 + 28*T1^3*T2^7 - 525*T1^4*T2^7 + 82*T1^5*T2^7 - 
      693*T1^6*T2^7 + 268*T1^7*T2^7 - 300*T1^8*T2^7 + 148*T1^9*T2^7 - 
      408*T1^10*T2^7 - 329*T1^11*T2^7 - 22*T1^12*T2^7 - 213*T1^13*T2^7 + 
      48*T1^14*T2^7 - 9*T1^15*T2^7 + 52*T1^16*T2^7 - 56*T2^8 - 64*T1*T2^8 + 
      189*T1^2*T2^8 - 159*T1^3*T2^8 + 549*T1^4*T2^8 - 22*T1^5*T2^8 + 
      671*T1^6*T2^8 - 300*T1^7*T2^8 + 363*T1^8*T2^8 - 179*T1^9*T2^8 + 
      275*T1^10*T2^8 + 204*T1^11*T2^8 + 255*T1^12*T2^8 + 82*T1^13*T2^8 + 
      5*T1^14*T2^8 + 25*T1^15*T2^8 - 35*T1^16*T2^8 - 32*T1^17*T2^8 + 
      8*T1^18*T2^8 + 28*T2^9 + 80*T1*T2^9 - 65*T1^2*T2^9 - 113*T1^3*T2^9 - 
      103*T1^4*T2^9 - 320*T1^5*T2^9 - 485*T1^6*T2^9 + 148*T1^7*T2^9 - 
      179*T1^8*T2^9 + 87*T1^9*T2^9 - 127*T1^10*T2^9 - 112*T1^11*T2^9 - 
      188*T1^12*T2^9 - 225*T1^13*T2^9 + 97*T1^14*T2^9 - 20*T1^15*T2^9 - 
      21*T1^16*T2^9 + 63*T1^17*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 + 
      8*T1^2*T2^10 + 26*T1^3*T2^10 + 325*T1^4*T2^10 - 227*T1^5*T2^10 + 
      979*T1^6*T2^10 - 408*T1^7*T2^10 + 275*T1^8*T2^10 - 127*T1^9*T2^10 - 
      72*T1^10*T2^10 + 199*T1^11*T2^10 - 67*T1^12*T2^10 + 352*T1^13*T2^10 - 
      109*T1^14*T2^10 - 45*T1^15*T2^10 + 25*T1^16*T2^10 - 30*T1^17*T2^10 - 
      40*T1^18*T2^10 + 20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 
      64*T1^2*T2^11 - 65*T1^3*T2^11 - 93*T1^4*T2^11 - 84*T1^5*T2^11 - 
      273*T1^6*T2^11 - 329*T1^7*T2^11 + 204*T1^8*T2^11 - 112*T1^9*T2^11 + 
      199*T1^10*T2^11 - 15*T1^11*T2^11 - 45*T1^12*T2^11 - 132*T1^13*T2^11 - 
      69*T1^14*T2^11 + 144*T1^15*T2^11 - T1^16*T2^11 - T1^17*T2^11 + 
      63*T1^18*T2^11 - 16*T1^19*T2^11 - 12*T1^20*T2^11 - 40*T1^2*T2^12 - 
      32*T1^3*T2^12 + 141*T1^4*T2^12 - 103*T1^5*T2^12 + 359*T1^6*T2^12 - 
      22*T1^7*T2^12 + 255*T1^8*T2^12 - 188*T1^9*T2^12 - 67*T1^10*T2^12 - 
      45*T1^11*T2^12 - 155*T1^12*T2^12 + 316*T1^13*T2^12 - 161*T1^14*T2^12 + 
      82*T1^15*T2^12 - 185*T1^16*T2^12 + 81*T1^17*T2^12 - 83*T1^18*T2^12 + 
      24*T1^20*T2^12 + 48*T1^3*T2^13 - 36*T1^4*T2^13 - 41*T1^5*T2^13 - 
      8*T1^6*T2^13 - 213*T1^7*T2^13 + 82*T1^8*T2^13 - 225*T1^9*T2^13 + 
      352*T1^10*T2^13 - 132*T1^11*T2^13 + 316*T1^12*T2^13 - 324*T1^13*T2^13 + 
      139*T1^14*T2^13 - 22*T1^15*T2^13 + 99*T1^16*T2^13 + 12*T1^17*T2^13 + 
      15*T1^18*T2^13 + 40*T1^19*T2^13 - 36*T1^20*T2^13 - 39*T1^4*T2^14 + 
      52*T1^5*T2^14 + 10*T1^6*T2^14 + 48*T1^7*T2^14 + 5*T1^8*T2^14 + 
      97*T1^9*T2^14 - 109*T1^10*T2^14 - 69*T1^11*T2^14 - 161*T1^12*T2^14 + 
      139*T1^13*T2^14 - 5*T1^14*T2^14 - 85*T1^15*T2^14 - 21*T1^16*T2^14 - 
      56*T1^17*T2^14 + 10*T1^18*T2^14 - 52*T1^19*T2^14 + 39*T1^20*T2^14 + 
      26*T1^5*T2^15 - 52*T1^6*T2^15 - 9*T1^7*T2^15 + 25*T1^8*T2^15 - 
      20*T1^9*T2^15 - 45*T1^10*T2^15 + 144*T1^11*T2^15 + 82*T1^12*T2^15 - 
      22*T1^13*T2^15 - 85*T1^14*T2^15 + 133*T1^15*T2^15 + 11*T1^16*T2^15 + 
      37*T1^17*T2^15 - T1^18*T2^15 + 52*T1^19*T2^15 - 39*T1^20*T2^15 - 
      13*T1^6*T2^16 + 52*T1^7*T2^16 - 35*T1^8*T2^16 - 21*T1^9*T2^16 + 
      25*T1^10*T2^16 - T1^11*T2^16 - 185*T1^12*T2^16 + 99*T1^13*T2^16 - 
      21*T1^14*T2^16 + 11*T1^15*T2^16 - 119*T1^16*T2^16 + 27*T1^17*T2^16 - 
      3*T1^18*T2^16 - 60*T1^19*T2^16 + 39*T1^20*T2^16 - 32*T1^8*T2^17 + 
      63*T1^9*T2^17 - 30*T1^10*T2^17 - T1^11*T2^17 + 81*T1^12*T2^17 + 
      12*T1^13*T2^17 - 56*T1^14*T2^17 + 37*T1^15*T2^17 + 27*T1^16*T2^17 + 
      54*T1^17*T2^17 - 65*T1^18*T2^17 + 80*T1^19*T2^17 - 36*T1^20*T2^17 + 
      8*T1^8*T2^18 - 40*T1^10*T2^18 + 63*T1^11*T2^18 - 83*T1^12*T2^18 + 
      15*T1^13*T2^18 + 10*T1^14*T2^18 - T1^15*T2^18 - 3*T1^16*T2^18 - 
      65*T1^17*T2^18 + 72*T1^18*T2^18 - 64*T1^19*T2^18 + 24*T1^20*T2^18 - 
      8*T1^9*T2^19 + 20*T1^10*T2^19 - 16*T1^11*T2^19 + 40*T1^13*T2^19 - 
      52*T1^14*T2^19 + 52*T1^15*T2^19 - 60*T1^16*T2^19 + 80*T1^17*T2^19 - 
      64*T1^18*T2^19 + 40*T1^19*T2^19 - 12*T1^20*T2^19 + 3*T1^10*T2^20 - 
      12*T1^11*T2^20 + 24*T1^12*T2^20 - 36*T1^13*T2^20 + 39*T1^14*T2^20 - 
      39*T1^15*T2^20 + 39*T1^16*T2^20 - 36*T1^17*T2^20 + 24*T1^18*T2^20 - 
      12*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 851] -> 
  {-((2 - 9*T + 20*T^2 - 32*T^3 + 37*T^4 - 32*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 408*T1^2 + 652*T1^3 - 753*T1^4 + 652*T1^5 - 
      408*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1168*T1^2*T2 - 
      1456*T1^3*T2 + 1030*T1^4*T2 - 212*T1^5*T2 - 520*T1^6*T2 + 646*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 408*T2^2 + 1168*T1*T2^2 - 1332*T1^2*T2^2 + 
      992*T1^3*T2^2 + 632*T1^4*T2^2 - 1828*T1^5*T2^2 + 1992*T1^6*T2^2 - 
      848*T1^7*T2^2 + 108*T1^8*T2^2 + 448*T1^9*T2^2 - 248*T1^10*T2^2 + 
      652*T2^3 - 1456*T1*T2^3 + 992*T1^2*T2^3 - 392*T1^3*T2^3 - 
      1732*T1^4*T2^3 + 1780*T1^5*T2^3 - 656*T1^6*T2^3 - 1204*T1^7*T2^3 + 
      916*T1^8*T2^3 - 868*T1^9*T2^3 - 88*T1^10*T2^3 + 268*T1^11*T2^3 - 
      753*T2^4 + 1030*T1*T2^4 + 632*T1^2*T2^4 - 1732*T1^3*T2^4 + 
      4532*T1^4*T2^4 - 3193*T1^5*T2^4 + 1640*T1^6*T2^4 - 209*T1^7*T2^4 + 
      1644*T1^8*T2^4 - 836*T1^9*T2^4 + 1368*T1^10*T2^4 - 482*T1^11*T2^4 - 
      161*T1^12*T2^4 + 652*T2^5 - 212*T1*T2^5 - 1828*T1^2*T2^5 + 
      1780*T1^3*T2^5 - 3193*T1^4*T2^5 - 431*T1^5*T2^5 + 1067*T1^6*T2^5 - 
      425*T1^7*T2^5 - 2225*T1^8*T2^5 + 373*T1^9*T2^5 - 920*T1^10*T2^5 - 
      517*T1^11*T2^5 + 670*T1^12*T2^5 + 12*T1^13*T2^5 - 408*T2^6 - 
      520*T1*T2^6 + 1992*T1^2*T2^6 - 656*T1^3*T2^6 + 1640*T1^4*T2^6 + 
      1067*T1^5*T2^6 + 1778*T1^6*T2^6 - 4010*T1^7*T2^6 + 4762*T1^8*T2^6 - 
      333*T1^9*T2^6 + 296*T1^10*T2^6 + 1384*T1^11*T2^6 - 616*T1^12*T2^6 - 
      376*T1^13*T2^6 + 72*T1^14*T2^6 + 184*T2^7 + 646*T1*T2^7 - 
      848*T1^2*T2^7 - 1204*T1^3*T2^7 - 209*T1^4*T2^7 - 425*T1^5*T2^7 - 
      4010*T1^6*T2^7 + 4626*T1^7*T2^7 - 1944*T1^8*T2^7 - 2682*T1^9*T2^7 + 
      1251*T1^10*T2^7 - 1447*T1^11*T2^7 - 260*T1^12*T2^7 + 892*T1^13*T2^7 - 
      20*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 + 108*T1^2*T2^8 + 
      916*T1^3*T2^8 + 1644*T1^4*T2^8 - 2225*T1^5*T2^8 + 4762*T1^6*T2^8 - 
      1944*T1^7*T2^8 - 2664*T1^8*T2^8 + 4532*T1^9*T2^8 - 1254*T1^10*T2^8 + 
      397*T1^11*T2^8 + 844*T1^12*T2^8 - 692*T1^13*T2^8 - 426*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 448*T1^2*T2^9 - 
      868*T1^3*T2^9 - 836*T1^4*T2^9 + 373*T1^5*T2^9 - 333*T1^6*T2^9 - 
      2682*T1^7*T2^9 + 4532*T1^8*T2^9 - 2038*T1^9*T2^9 - 1354*T1^10*T2^9 + 
      1343*T1^11*T2^9 - 865*T1^12*T2^9 + 108*T1^13*T2^9 + 872*T1^14*T2^9 - 
      218*T1^15*T2^9 - 104*T1^16*T2^9 - 248*T1^2*T2^10 - 88*T1^3*T2^10 + 
      1368*T1^4*T2^10 - 920*T1^5*T2^10 + 296*T1^6*T2^10 + 1251*T1^7*T2^10 - 
      1254*T1^8*T2^10 - 1354*T1^9*T2^10 + 1730*T1^10*T2^10 - 
      149*T1^11*T2^10 - 1048*T1^12*T2^10 + 1120*T1^13*T2^10 - 
      1240*T1^14*T2^10 + 56*T1^15*T2^10 + 232*T1^16*T2^10 + 268*T1^3*T2^11 - 
      482*T1^4*T2^11 - 517*T1^5*T2^11 + 1384*T1^6*T2^11 - 1447*T1^7*T2^11 + 
      397*T1^8*T2^11 + 1343*T1^9*T2^11 - 149*T1^10*T2^11 - 1397*T1^11*T2^11 + 
      2119*T1^12*T2^11 - 1316*T1^13*T2^11 + 794*T1^14*T2^11 + 
      400*T1^15*T2^11 - 372*T1^16*T2^11 - 161*T1^4*T2^12 + 670*T1^5*T2^12 - 
      616*T1^6*T2^12 - 260*T1^7*T2^12 + 844*T1^8*T2^12 - 865*T1^9*T2^12 - 
      1048*T1^10*T2^12 + 2119*T1^11*T2^12 - 2044*T1^12*T2^12 + 
      636*T1^13*T2^12 + 120*T1^14*T2^12 - 842*T1^15*T2^12 + 431*T1^16*T2^12 + 
      12*T1^5*T2^13 - 376*T1^6*T2^13 + 892*T1^7*T2^13 - 692*T1^8*T2^13 + 
      108*T1^9*T2^13 + 1120*T1^10*T2^13 - 1316*T1^11*T2^13 + 
      636*T1^12*T2^13 + 616*T1^13*T2^13 - 968*T1^14*T2^13 + 992*T1^15*T2^13 - 
      372*T1^16*T2^13 + 72*T1^6*T2^14 - 20*T1^7*T2^14 - 426*T1^8*T2^14 + 
      872*T1^9*T2^14 - 1240*T1^10*T2^14 + 794*T1^11*T2^14 + 120*T1^12*T2^14 - 
      968*T1^13*T2^14 + 1014*T1^14*T2^14 - 740*T1^15*T2^14 + 
      232*T1^16*T2^14 - 68*T1^7*T2^15 + 204*T1^8*T2^15 - 218*T1^9*T2^15 + 
      56*T1^10*T2^15 + 400*T1^11*T2^15 - 842*T1^12*T2^15 + 992*T1^13*T2^15 - 
      740*T1^14*T2^15 + 402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 
      104*T1^9*T2^16 + 232*T1^10*T2^16 - 372*T1^11*T2^16 + 431*T1^12*T2^16 - 
      372*T1^13*T2^16 + 232*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 852] -> 
  {-(((1 - T + T^2)^2*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4), 
   -((-41 + 204*T1 - 508*T1^2 + 852*T1^3 - 993*T1^4 + 852*T1^5 - 508*T1^6 + 
      204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1716*T1^2*T2 - 2216*T1^3*T2 + 
      1544*T1^4*T2 - 276*T1^5*T2 - 876*T1^6*T2 + 1016*T1^7*T2 - 612*T1^8*T2 + 
      164*T1^9*T2 - 508*T2^2 + 1716*T1*T2^2 - 2557*T1^2*T2^2 + 
      1993*T1^3*T2^2 + 849*T1^4*T2^2 - 2855*T1^5*T2^2 + 3249*T1^6*T2^2 - 
      1207*T1^7*T2^2 - 257*T1^8*T2^2 + 716*T1^9*T2^2 - 308*T1^10*T2^2 + 
      852*T2^3 - 2216*T1*T2^3 + 1993*T1^2*T2^3 + 224*T1^3*T2^3 - 
      4456*T1^4*T2^3 + 4109*T1^5*T2^3 - 1757*T1^6*T2^3 - 2574*T1^7*T2^3 + 
      2562*T1^8*T2^3 - 1307*T1^9*T2^3 - 196*T1^10*T2^3 + 348*T1^11*T2^3 - 
      993*T2^4 + 1544*T1*T2^4 + 849*T1^2*T2^4 - 4456*T1^3*T2^4 + 
      8105*T1^4*T2^4 - 3028*T1^5*T2^4 - 879*T1^6*T2^4 + 4588*T1^7*T2^4 - 
      351*T1^8*T2^4 - 1600*T1^9*T2^4 + 2249*T1^10*T2^4 - 696*T1^11*T2^4 - 
      209*T1^12*T2^4 + 852*T2^5 - 276*T1*T2^5 - 2855*T1^2*T2^5 + 
      4109*T1^3*T2^5 - 3028*T1^4*T2^5 - 6710*T1^5*T2^5 + 6921*T1^6*T2^5 - 
      4839*T1^7*T2^5 - 4610*T1^8*T2^5 + 4322*T1^9*T2^5 - 2401*T1^10*T2^5 - 
      755*T1^11*T2^5 + 984*T1^12*T2^5 + 12*T1^13*T2^5 - 508*T2^6 - 
      876*T1*T2^6 + 3249*T1^2*T2^6 - 1757*T1^3*T2^6 - 879*T1^4*T2^6 + 
      6921*T1^5*T2^6 + 2290*T1^6*T2^6 - 8346*T1^7*T2^6 + 14230*T1^8*T2^6 - 
      5119*T1^9*T2^6 - 389*T1^10*T2^6 + 3143*T1^11*T2^6 - 1151*T1^12*T2^6 - 
      516*T1^13*T2^6 + 92*T1^14*T2^6 + 204*T2^7 + 1016*T1*T2^7 - 
      1207*T1^2*T2^7 - 2574*T1^3*T2^7 + 4588*T1^4*T2^7 - 4839*T1^5*T2^7 - 
      8346*T1^6*T2^7 + 10438*T1^7*T2^7 - 7860*T1^8*T2^7 - 4810*T1^9*T2^7 + 
      6361*T1^10*T2^7 - 3826*T1^11*T2^7 - 560*T1^12*T2^7 + 1493*T1^13*T2^7 - 
      84*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 612*T1*T2^8 - 257*T1^2*T2^8 + 
      2562*T1^3*T2^8 - 351*T1^4*T2^8 - 4610*T1^5*T2^8 + 14230*T1^6*T2^8 - 
      7860*T1^7*T2^8 - 1452*T1^8*T2^8 + 10292*T1^9*T2^8 - 5566*T1^10*T2^8 - 
      410*T1^11*T2^8 + 3237*T1^12*T2^8 - 1726*T1^13*T2^8 - 457*T1^14*T2^8 + 
      268*T1^15*T2^8 + 23*T1^16*T2^8 + 164*T1*T2^9 + 716*T1^2*T2^9 - 
      1307*T1^3*T2^9 - 1600*T1^4*T2^9 + 4322*T1^5*T2^9 - 5119*T1^6*T2^9 - 
      4810*T1^7*T2^9 + 10292*T1^8*T2^9 - 8006*T1^9*T2^9 - 1274*T1^10*T2^9 + 
      6081*T1^11*T2^9 - 4092*T1^12*T2^9 + 414*T1^13*T2^9 + 1393*T1^14*T2^9 - 
      384*T1^15*T2^9 - 116*T1^16*T2^9 - 308*T1^2*T2^10 - 196*T1^3*T2^10 + 
      2249*T1^4*T2^10 - 2401*T1^5*T2^10 - 389*T1^6*T2^10 + 6361*T1^7*T2^10 - 
      5566*T1^8*T2^10 - 1274*T1^9*T2^10 + 6374*T1^10*T2^10 - 
      5679*T1^11*T2^10 + 101*T1^12*T2^10 + 2499*T1^13*T2^10 - 
      2151*T1^14*T2^10 + 164*T1^15*T2^10 + 292*T1^16*T2^10 + 348*T1^3*T2^11 - 
      696*T1^4*T2^11 - 755*T1^5*T2^11 + 3143*T1^6*T2^11 - 3826*T1^7*T2^11 - 
      410*T1^8*T2^11 + 6081*T1^9*T2^11 - 5679*T1^10*T2^11 + 
      1690*T1^11*T2^11 + 3524*T1^12*T2^11 - 3367*T1^13*T2^11 + 
      1345*T1^14*T2^11 + 564*T1^15*T2^11 - 492*T1^16*T2^11 - 209*T1^4*T2^12 + 
      984*T1^5*T2^12 - 1151*T1^6*T2^12 - 560*T1^7*T2^12 + 3237*T1^8*T2^12 - 
      4092*T1^9*T2^12 + 101*T1^10*T2^12 + 3524*T1^11*T2^12 - 
      5219*T1^12*T2^12 + 2296*T1^13*T2^12 + 249*T1^14*T2^12 - 
      1256*T1^15*T2^12 + 575*T1^16*T2^12 + 12*T1^5*T2^13 - 516*T1^6*T2^13 + 
      1493*T1^7*T2^13 - 1726*T1^8*T2^13 + 414*T1^9*T2^13 + 2499*T1^10*T2^13 - 
      3367*T1^11*T2^13 + 2296*T1^12*T2^13 + 612*T1^13*T2^13 - 
      1807*T1^14*T2^13 + 1504*T1^15*T2^13 - 492*T1^16*T2^13 + 92*T1^6*T2^14 - 
      84*T1^7*T2^14 - 457*T1^8*T2^14 + 1393*T1^9*T2^14 - 2151*T1^10*T2^14 + 
      1345*T1^11*T2^14 + 249*T1^12*T2^14 - 1807*T1^13*T2^14 + 
      1843*T1^14*T2^14 - 1084*T1^15*T2^14 + 292*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 384*T1^9*T2^15 + 164*T1^10*T2^15 + 564*T1^11*T2^15 - 
      1256*T1^12*T2^15 + 1504*T1^13*T2^15 - 1084*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      292*T1^10*T2^16 - 492*T1^11*T2^16 + 575*T1^12*T2^16 - 492*T1^13*T2^16 + 
      292*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 853] -> 
  {-(((1 - T + T^2)*(4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4))/T^3), 
   -((-208 + 984*T1 - 2072*T1^2 + 2648*T1^3 - 2072*T1^4 + 984*T1^5 - 
      208*T1^6 + 984*T2 - 3976*T1*T2 + 6593*T1^2*T2 - 5765*T1^3*T2 + 
      1151*T1^4*T2 + 2109*T1^5*T2 - 2228*T1^6*T2 + 680*T1^7*T2 - 2072*T2^2 + 
      6593*T1*T2^2 - 6327*T1^2*T2^2 - 1606*T1^3*T2^2 + 12037*T1^4*T2^2 - 
      11846*T1^5*T2^2 + 5193*T1^6*T2^2 + 513*T1^7*T2^2 - 792*T1^8*T2^2 + 
      2648*T2^3 - 5765*T1*T2^3 - 1606*T1^2*T2^3 + 15514*T1^3*T2^3 - 
      23260*T1^4*T2^3 + 9792*T1^5*T2^3 + 4334*T1^6*T2^3 - 8606*T1^7*T2^3 + 
      2823*T1^8*T2^3 + 200*T1^9*T2^3 - 2072*T2^4 + 1151*T1*T2^4 + 
      12037*T1^2*T2^4 - 23260*T1^3*T2^4 + 17973*T1^4*T2^4 + 9431*T1^5*T2^4 - 
      21003*T1^6*T2^4 + 13868*T1^7*T2^4 + 815*T1^8*T2^4 - 3257*T1^9*T2^4 + 
      488*T1^10*T2^4 + 984*T2^5 + 2109*T1*T2^5 - 11846*T1^2*T2^5 + 
      9792*T1^3*T2^5 + 9431*T1^4*T2^5 - 34444*T1^5*T2^5 + 25416*T1^6*T2^5 - 
      729*T1^7*T2^5 - 15108*T1^8*T2^5 + 8114*T1^9*T2^5 + 209*T1^10*T2^5 - 
      536*T1^11*T2^5 - 208*T2^6 - 2228*T1*T2^6 + 5193*T1^2*T2^6 + 
      4334*T1^3*T2^6 - 21003*T1^4*T2^6 + 25416*T1^5*T2^6 + 2604*T1^6*T2^6 - 
      26824*T1^7*T2^6 + 24393*T1^8*T2^6 - 3602*T1^9*T2^6 - 5603*T1^10*T2^6 + 
      1724*T1^11*T2^6 + 176*T1^12*T2^6 + 680*T1*T2^7 + 513*T1^2*T2^7 - 
      8606*T1^3*T2^7 + 13868*T1^4*T2^7 - 729*T1^5*T2^7 - 26824*T1^6*T2^7 + 
      33036*T1^7*T2^7 - 10889*T1^8*T2^7 - 11032*T1^9*T2^7 + 
      11354*T1^10*T2^7 - 1387*T1^11*T2^7 - 840*T1^12*T2^7 - 792*T1^2*T2^8 + 
      2823*T1^3*T2^8 + 815*T1^4*T2^8 - 15108*T1^5*T2^8 + 24393*T1^6*T2^8 - 
      10889*T1^7*T2^8 - 14583*T1^8*T2^8 + 22020*T1^9*T2^8 - 
      10407*T1^10*T2^8 - 1585*T1^11*T2^8 + 1768*T1^12*T2^8 + 200*T1^3*T2^9 - 
      3257*T1^4*T2^9 + 8114*T1^5*T2^9 - 3602*T1^6*T2^9 - 11032*T1^7*T2^9 + 
      22020*T1^8*T2^9 - 14782*T1^9*T2^9 + 1114*T1^10*T2^9 + 5331*T1^11*T2^9 - 
      2248*T1^12*T2^9 + 488*T1^4*T2^10 + 209*T1^5*T2^10 - 5603*T1^6*T2^10 + 
      11354*T1^7*T2^10 - 10407*T1^8*T2^10 + 1114*T1^9*T2^10 + 
      5917*T1^10*T2^10 - 5871*T1^11*T2^10 + 1768*T1^12*T2^10 - 
      536*T1^5*T2^11 + 1724*T1^6*T2^11 - 1387*T1^7*T2^11 - 1585*T1^8*T2^11 + 
      5331*T1^9*T2^11 - 5871*T1^10*T2^11 + 3472*T1^11*T2^11 - 
      840*T1^12*T2^11 + 176*T1^6*T2^12 - 840*T1^7*T2^12 + 1768*T1^8*T2^12 - 
      2248*T1^9*T2^12 + 1768*T1^10*T2^12 - 840*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 854] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-90 + 418*T1 - 894*T1^2 + 1164*T1^3 - 894*T1^4 + 418*T1^5 - 90*T1^6 + 
      418*T2 - 1650*T1*T2 + 2800*T1^2*T2 - 2514*T1^3*T2 + 384*T1^4*T2 + 
      952*T1^5*T2 - 936*T1^6*T2 + 292*T1^7*T2 - 894*T2^2 + 2800*T1*T2^2 - 
      2983*T1^2*T2^2 - 132*T1^3*T2^2 + 4985*T1^4*T2^2 - 4632*T1^5*T2^2 + 
      1877*T1^6*T2^2 + 280*T1^7*T2^2 - 354*T1^8*T2^2 + 1164*T2^3 - 
      2514*T1*T2^3 - 132*T1^2*T2^3 + 5939*T1^3*T2^3 - 10061*T1^4*T2^3 + 
      3475*T1^5*T2^3 + 2201*T1^6*T2^3 - 3522*T1^7*T2^3 + 1140*T1^8*T2^3 + 
      111*T1^9*T2^3 - 894*T2^4 + 384*T1*T2^4 + 4985*T1^2*T2^4 - 
      10061*T1^3*T2^4 + 8361*T1^4*T2^4 + 5209*T1^5*T2^4 - 9219*T1^6*T2^4 + 
      5383*T1^7*T2^4 + 497*T1^8*T2^4 - 1380*T1^9*T2^4 + 186*T1^10*T2^4 + 
      418*T2^5 + 952*T1*T2^5 - 4632*T1^2*T2^5 + 3475*T1^3*T2^5 + 
      5209*T1^4*T2^5 - 17572*T1^5*T2^5 + 11288*T1^6*T2^5 + 349*T1^7*T2^5 - 
      6245*T1^8*T2^5 + 3198*T1^9*T2^5 + 112*T1^10*T2^5 - 212*T1^11*T2^5 - 
      90*T2^6 - 936*T1*T2^6 + 1877*T1^2*T2^6 + 2201*T1^3*T2^6 - 
      9219*T1^4*T2^6 + 11288*T1^5*T2^6 + 3048*T1^6*T2^6 - 13300*T1^7*T2^6 + 
      10425*T1^8*T2^6 - 1585*T1^9*T2^6 - 2079*T1^10*T2^6 + 660*T1^11*T2^6 + 
      72*T1^12*T2^6 + 292*T1*T2^7 + 280*T1^2*T2^7 - 3522*T1^3*T2^7 + 
      5383*T1^4*T2^7 + 349*T1^5*T2^7 - 13300*T1^6*T2^7 + 15560*T1^7*T2^7 - 
      4511*T1^8*T2^7 - 4337*T1^9*T2^7 + 4308*T1^10*T2^7 - 560*T1^11*T2^7 - 
      338*T1^12*T2^7 - 354*T1^2*T2^8 + 1140*T1^3*T2^8 + 497*T1^4*T2^8 - 
      6245*T1^5*T2^8 + 10425*T1^6*T2^8 - 4511*T1^7*T2^8 - 7155*T1^8*T2^8 + 
      9199*T1^9*T2^8 - 3991*T1^10*T2^8 - 624*T1^11*T2^8 + 726*T1^12*T2^8 + 
      111*T1^3*T2^9 - 1380*T1^4*T2^9 + 3198*T1^5*T2^9 - 1585*T1^6*T2^9 - 
      4337*T1^7*T2^9 + 9199*T1^8*T2^9 - 5323*T1^9*T2^9 - 192*T1^10*T2^9 + 
      2274*T1^11*T2^9 - 942*T1^12*T2^9 + 186*T1^4*T2^10 + 112*T1^5*T2^10 - 
      2079*T1^6*T2^10 + 4308*T1^7*T2^10 - 3991*T1^8*T2^10 - 192*T1^9*T2^10 + 
      2781*T1^10*T2^10 - 2408*T1^11*T2^10 + 726*T1^12*T2^10 - 
      212*T1^5*T2^11 + 660*T1^6*T2^11 - 560*T1^7*T2^11 - 624*T1^8*T2^11 + 
      2274*T1^9*T2^11 - 2408*T1^10*T2^11 + 1374*T1^11*T2^11 - 
      338*T1^12*T2^11 + 72*T1^6*T2^12 - 338*T1^7*T2^12 + 726*T1^8*T2^12 - 
      942*T1^9*T2^12 + 726*T1^10*T2^12 - 338*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 855] -> 
  {-((2 - 10*T + 23*T^2 - 33*T^3 + 35*T^4 - 33*T^5 + 23*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-39 + 196*T1 - 452*T1^2 + 648*T1^3 - 687*T1^4 + 648*T1^5 - 
      452*T1^6 + 196*T1^7 - 39*T1^8 + 196*T2 - 828*T1*T2 + 1485*T1^2*T2 - 
      1445*T1^3*T2 + 856*T1^4*T2 - 504*T1^5*T2 - 325*T1^6*T2 + 825*T1^7*T2 - 
      588*T1^8*T2 + 156*T1^9*T2 - 452*T2^2 + 1485*T1*T2^2 - 1557*T1^2*T2^2 - 
      266*T1^3*T2^2 + 2046*T1^4*T2^2 - 1967*T1^5*T2^2 + 3150*T1^6*T2^2 - 
      2382*T1^7*T2^2 + 375*T1^8*T2^2 + 565*T1^9*T2^2 - 268*T1^10*T2^2 + 
      648*T2^3 - 1445*T1*T2^3 - 266*T1^2*T2^3 + 3814*T1^3*T2^3 - 
      4517*T1^4*T2^3 + 1763*T1^5*T2^3 - 2789*T1^6*T2^3 - 547*T1^7*T2^3 + 
      3154*T1^8*T2^3 - 2060*T1^9*T2^3 + 75*T1^10*T2^3 + 252*T1^11*T2^3 - 
      687*T2^4 + 856*T1*T2^4 + 2046*T1^2*T2^4 - 4517*T1^3*T2^4 + 
      1334*T1^4*T2^4 + 3659*T1^5*T2^4 - 962*T1^6*T2^4 + 5139*T1^7*T2^4 - 
      4606*T1^8*T2^4 + 103*T1^9*T2^4 + 1886*T1^10*T2^4 - 624*T1^11*T2^4 - 
      127*T1^12*T2^4 + 648*T2^5 - 504*T1*T2^5 - 1967*T1^2*T2^5 + 
      1763*T1^3*T2^5 + 3659*T1^4*T2^5 - 6577*T1^5*T2^5 + 121*T1^6*T2^5 - 
      3581*T1^7*T2^5 + 227*T1^8*T2^5 + 3812*T1^9*T2^5 - 2389*T1^10*T2^5 - 
      575*T1^11*T2^5 + 696*T1^12*T2^5 - 12*T1^13*T2^5 - 452*T2^6 - 
      325*T1*T2^6 + 3150*T1^2*T2^6 - 2789*T1^3*T2^6 - 962*T1^4*T2^6 + 
      121*T1^5*T2^6 + 7021*T1^6*T2^6 - 935*T1^7*T2^6 + 1777*T1^8*T2^6 - 
      2457*T1^9*T2^6 - 1052*T1^10*T2^6 + 2363*T1^11*T2^6 - 482*T1^12*T2^6 - 
      445*T1^13*T2^6 + 100*T1^14*T2^6 + 196*T2^7 + 825*T1*T2^7 - 
      2382*T1^2*T2^7 - 547*T1^3*T2^7 + 5139*T1^4*T2^7 - 3581*T1^5*T2^7 - 
      935*T1^6*T2^7 - 7102*T1^7*T2^7 + 5600*T1^8*T2^7 - 1690*T1^9*T2^7 + 
      2369*T1^10*T2^7 - 322*T1^11*T2^7 - 1917*T1^12*T2^7 + 1344*T1^13*T2^7 - 
      75*T1^14*T2^7 - 84*T1^15*T2^7 - 39*T2^8 - 588*T1*T2^8 + 375*T1^2*T2^8 + 
      3154*T1^3*T2^8 - 4606*T1^4*T2^8 + 227*T1^5*T2^8 + 1777*T1^6*T2^8 + 
      5600*T1^7*T2^8 - 1248*T1^8*T2^8 - 4652*T1^9*T2^8 + 2447*T1^10*T2^8 - 
      3919*T1^11*T2^8 + 3602*T1^12*T2^8 - 906*T1^13*T2^8 - 657*T1^14*T2^8 + 
      292*T1^15*T2^8 + 25*T1^16*T2^8 + 156*T1*T2^9 + 565*T1^2*T2^9 - 
      2060*T1^3*T2^9 + 103*T1^4*T2^9 + 3812*T1^5*T2^9 - 2457*T1^6*T2^9 - 
      1690*T1^7*T2^9 - 4652*T1^8*T2^9 + 8050*T1^9*T2^9 - 2445*T1^10*T2^9 + 
      3493*T1^11*T2^9 - 1649*T1^12*T2^9 - 1267*T1^13*T2^9 + 1666*T1^14*T2^9 - 
      335*T1^15*T2^9 - 124*T1^16*T2^9 - 268*T1^2*T2^10 + 75*T1^3*T2^10 + 
      1886*T1^4*T2^10 - 2389*T1^5*T2^10 - 1052*T1^6*T2^10 + 2369*T1^7*T2^10 + 
      2447*T1^8*T2^10 - 2445*T1^9*T2^10 - 2797*T1^10*T2^10 - 
      209*T1^11*T2^10 - 1142*T1^12*T2^10 + 2763*T1^13*T2^10 - 
      1746*T1^14*T2^10 - 45*T1^15*T2^10 + 284*T1^16*T2^10 + 252*T1^3*T2^11 - 
      624*T1^4*T2^11 - 575*T1^5*T2^11 + 2363*T1^6*T2^11 - 322*T1^7*T2^11 - 
      3919*T1^8*T2^11 + 3493*T1^9*T2^11 - 209*T1^10*T2^11 + 
      2885*T1^11*T2^11 - 169*T1^12*T2^11 - 1789*T1^13*T2^11 + 
      817*T1^14*T2^11 + 576*T1^15*T2^11 - 408*T1^16*T2^11 - 127*T1^4*T2^12 + 
      696*T1^5*T2^12 - 482*T1^6*T2^12 - 1917*T1^7*T2^12 + 3602*T1^8*T2^12 - 
      1649*T1^9*T2^12 - 1142*T1^10*T2^12 - 169*T1^11*T2^12 - 
      2338*T1^12*T2^12 + 2703*T1^13*T2^12 - 642*T1^14*T2^12 - 
      784*T1^15*T2^12 + 433*T1^16*T2^12 - 12*T1^5*T2^13 - 445*T1^6*T2^13 + 
      1344*T1^7*T2^13 - 906*T1^8*T2^13 - 1267*T1^9*T2^13 + 2763*T1^10*T2^13 - 
      1789*T1^11*T2^13 + 2703*T1^12*T2^13 - 1566*T1^13*T2^13 - 
      450*T1^14*T2^13 + 1075*T1^15*T2^13 - 408*T1^16*T2^13 + 100*T1^6*T2^14 - 
      75*T1^7*T2^14 - 657*T1^8*T2^14 + 1666*T1^9*T2^14 - 1746*T1^10*T2^14 + 
      817*T1^11*T2^14 - 642*T1^12*T2^14 - 450*T1^13*T2^14 + 
      1275*T1^14*T2^14 - 995*T1^15*T2^14 + 284*T1^16*T2^14 - 84*T1^7*T2^15 + 
      292*T1^8*T2^15 - 335*T1^9*T2^15 - 45*T1^10*T2^15 + 576*T1^11*T2^15 - 
      784*T1^12*T2^15 + 1075*T1^13*T2^15 - 995*T1^14*T2^15 + 
      532*T1^15*T2^15 - 124*T1^16*T2^15 + 25*T1^8*T2^16 - 124*T1^9*T2^16 + 
      284*T1^10*T2^16 - 408*T1^11*T2^16 + 433*T1^12*T2^16 - 408*T1^13*T2^16 + 
      284*T1^14*T2^16 - 124*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 856] -> 
  {-((4 - 22*T + 54*T^2 - 73*T^3 + 54*T^4 - 22*T^5 + 4*T^6)/T^3), 
   -((-192 + 1060*T1 - 2608*T1^2 + 3528*T1^3 - 2608*T1^4 + 1060*T1^5 - 
      192*T1^6 + 1060*T2 - 5138*T1*T2 + 10472*T1^2*T2 - 9828*T1^3*T2 + 
      1348*T1^4*T2 + 3784*T1^5*T2 - 2850*T1^6*T2 + 708*T1^7*T2 - 2608*T2^2 + 
      10472*T1*T2^2 - 14689*T1^2*T2^2 - 375*T1^3*T2^2 + 24455*T1^4*T2^2 - 
      22407*T1^5*T2^2 + 6911*T1^6*T2^2 + 968*T1^7*T2^2 - 880*T1^8*T2^2 + 
      3528*T2^3 - 9828*T1*T2^3 - 375*T1^2*T2^3 + 39038*T1^3*T2^3 - 
      62608*T1^4*T2^3 + 21692*T1^5*T2^3 + 16202*T1^6*T2^3 - 16791*T1^7*T2^3 + 
      4692*T1^8*T2^3 + 24*T1^9*T2^3 - 2608*T2^4 + 1348*T1*T2^4 + 
      24455*T1^2*T2^4 - 62608*T1^3*T2^4 + 41815*T1^4*T2^4 + 51371*T1^5*T2^4 - 
      78797*T1^6*T2^4 + 34920*T1^7*T2^4 + 447*T1^8*T2^4 - 4812*T1^9*T2^4 + 
      848*T1^10*T2^4 + 1060*T2^5 + 3784*T1*T2^5 - 22407*T1^2*T2^5 + 
      21692*T1^3*T2^5 + 51371*T1^4*T2^5 - 141374*T1^5*T2^5 + 
      99836*T1^6*T2^5 + 2447*T1^7*T2^5 - 36152*T1^8*T2^5 + 16473*T1^9*T2^5 - 
      792*T1^10*T2^5 - 700*T1^11*T2^5 - 192*T2^6 - 2850*T1*T2^6 + 
      6911*T1^2*T2^6 + 16202*T1^3*T2^6 - 78797*T1^4*T2^6 + 99836*T1^5*T2^6 + 
      3300*T1^6*T2^6 - 102908*T1^7*T2^6 + 76659*T1^8*T2^6 - 14566*T1^9*T2^6 - 
      7169*T1^10*T2^6 + 2782*T1^11*T2^6 + 192*T1^12*T2^6 + 708*T1*T2^7 + 
      968*T1^2*T2^7 - 16791*T1^3*T2^7 + 34920*T1^4*T2^7 + 2447*T1^5*T2^7 - 
      102908*T1^6*T2^7 + 138302*T1^7*T2^7 - 46477*T1^8*T2^7 - 
      22924*T1^9*T2^7 + 22089*T1^10*T2^7 - 3608*T1^11*T2^7 - 
      1052*T1^12*T2^7 - 880*T1^2*T2^8 + 4692*T1^3*T2^8 + 447*T1^4*T2^8 - 
      36152*T1^5*T2^8 + 76659*T1^6*T2^8 - 46477*T1^7*T2^8 - 43953*T1^8*T2^8 + 
      61376*T1^9*T2^8 - 23561*T1^10*T2^8 - 1468*T1^11*T2^8 + 
      2576*T1^12*T2^8 + 24*T1^3*T2^9 - 4812*T1^4*T2^9 + 16473*T1^5*T2^9 - 
      14566*T1^6*T2^9 - 22924*T1^7*T2^9 + 61376*T1^8*T2^9 - 37402*T1^9*T2^9 + 
      57*T1^10*T2^9 + 9708*T1^11*T2^9 - 3480*T1^12*T2^9 + 848*T1^4*T2^10 - 
      792*T1^5*T2^10 - 7169*T1^6*T2^10 + 22089*T1^7*T2^10 - 
      23561*T1^8*T2^10 + 57*T1^9*T2^10 + 14431*T1^10*T2^10 - 
      10296*T1^11*T2^10 + 2576*T1^12*T2^10 - 700*T1^5*T2^11 + 
      2782*T1^6*T2^11 - 3608*T1^7*T2^11 - 1468*T1^8*T2^11 + 9708*T1^9*T2^11 - 
      10296*T1^10*T2^11 + 5070*T1^11*T2^11 - 1052*T1^12*T2^11 + 
      192*T1^6*T2^12 - 1052*T1^7*T2^12 + 2576*T1^8*T2^12 - 3480*T1^9*T2^12 + 
      2576*T1^10*T2^12 - 1052*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 857] -> 
  {-((2 - 11*T + 29*T^2 - 49*T^3 + 57*T^4 - 49*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-23 + 128*T1 - 341*T1^2 + 580*T1^3 - 677*T1^4 + 580*T1^5 - 
      341*T1^6 + 128*T1^7 - 23*T1^8 + 128*T2 - 626*T1*T2 + 1419*T1^2*T2 - 
      1956*T1^3*T2 + 1611*T1^4*T2 - 721*T1^5*T2 - 240*T1^6*T2 + 539*T1^7*T2 - 
      340*T1^8*T2 + 84*T1^9*T2 - 341*T2^2 + 1419*T1*T2^2 - 2515*T1^2*T2^2 + 
      2185*T1^3*T2^2 + 201*T1^4*T2^2 - 2387*T1^5*T2^2 + 3449*T1^6*T2^2 - 
      2223*T1^7*T2^2 + 617*T1^8*T2^2 + 143*T1^9*T2^2 - 109*T1^10*T2^2 + 
      580*T2^3 - 1956*T1*T2^3 + 2185*T1^2*T2^3 + 541*T1^3*T2^3 - 
      5149*T1^4*T2^3 + 6292*T1^5*T2^3 - 4590*T1^6*T2^3 - 259*T1^7*T2^3 + 
      2775*T1^8*T2^3 - 2194*T1^9*T2^3 + 640*T1^10*T2^3 - 8*T1^11*T2^3 - 
      677*T2^4 + 1611*T1*T2^4 + 201*T1^2*T2^4 - 5149*T1^3*T2^4 + 
      8890*T1^4*T2^4 - 4746*T1^5*T2^4 - 1494*T1^6*T2^4 + 8110*T1^7*T2^4 - 
      6994*T1^8*T2^4 + 1613*T1^9*T2^4 + 1567*T1^10*T2^4 - 1249*T1^11*T2^4 + 
      235*T1^12*T2^4 + 580*T2^5 - 721*T1*T2^5 - 2387*T1^2*T2^5 + 
      6292*T1^3*T2^5 - 4746*T1^4*T2^5 - 5252*T1^5*T2^5 + 11422*T1^6*T2^5 - 
      12086*T1^7*T2^5 + 2668*T1^8*T2^5 + 6415*T1^9*T2^5 - 5774*T1^10*T2^5 + 
      1252*T1^11*T2^5 + 907*T1^12*T2^5 - 400*T1^13*T2^5 - 341*T2^6 - 
      240*T1*T2^6 + 3449*T1^2*T2^6 - 4590*T1^3*T2^6 - 1494*T1^4*T2^6 + 
      11422*T1^5*T2^6 - 11132*T1^6*T2^6 + 2924*T1^7*T2^6 + 8904*T1^8*T2^6 - 
      12678*T1^9*T2^6 + 1960*T1^10*T2^6 + 4516*T1^11*T2^6 - 3563*T1^12*T2^6 + 
      244*T1^13*T2^6 + 355*T1^14*T2^6 + 128*T2^7 + 539*T1*T2^7 - 
      2223*T1^2*T2^7 - 259*T1^3*T2^7 + 8110*T1^4*T2^7 - 12086*T1^5*T2^7 + 
      2924*T1^6*T2^7 + 10579*T1^7*T2^7 - 14763*T1^8*T2^7 + 7773*T1^9*T2^7 + 
      10238*T1^10*T2^7 - 9831*T1^11*T2^7 + 2339*T1^12*T2^7 + 
      2330*T1^13*T2^7 - 957*T1^14*T2^7 - 180*T1^15*T2^7 - 23*T2^8 - 
      340*T1*T2^8 + 617*T1^2*T2^8 + 2775*T1^3*T2^8 - 6994*T1^4*T2^8 + 
      2668*T1^5*T2^8 + 8904*T1^6*T2^8 - 14763*T1^7*T2^8 + 2004*T1^8*T2^8 + 
      11111*T1^9*T2^8 - 23198*T1^10*T2^8 + 7300*T1^11*T2^8 + 
      3990*T1^12*T2^8 - 5139*T1^13*T2^8 + 287*T1^14*T2^8 + 760*T1^15*T2^8 + 
      41*T1^16*T2^8 + 84*T1*T2^9 + 143*T1^2*T2^9 - 2194*T1^3*T2^9 + 
      1613*T1^4*T2^9 + 6415*T1^5*T2^9 - 12678*T1^6*T2^9 + 7773*T1^7*T2^9 + 
      11111*T1^8*T2^9 - 14231*T1^9*T2^9 + 12622*T1^10*T2^9 + 
      9646*T1^11*T2^9 - 11526*T1^12*T2^9 + 4211*T1^13*T2^9 + 
      2359*T1^14*T2^9 - 1353*T1^15*T2^9 - 224*T1^16*T2^9 - 109*T1^2*T2^10 + 
      640*T1^3*T2^10 + 1567*T1^4*T2^10 - 5774*T1^5*T2^10 + 1960*T1^6*T2^10 + 
      10238*T1^7*T2^10 - 23198*T1^8*T2^10 + 12622*T1^9*T2^10 - 
      3162*T1^10*T2^10 - 13862*T1^11*T2^10 + 5414*T1^12*T2^10 + 
      3332*T1^13*T2^10 - 5445*T1^14*T2^10 + 1124*T1^15*T2^10 + 
      587*T1^16*T2^10 - 8*T1^3*T2^11 - 1249*T1^4*T2^11 + 1252*T1^5*T2^11 + 
      4516*T1^6*T2^11 - 9831*T1^7*T2^11 + 7300*T1^8*T2^11 + 9646*T1^9*T2^11 - 
      13862*T1^10*T2^11 + 15220*T1^11*T2^11 + 1330*T1^12*T2^11 - 
      7550*T1^13*T2^11 + 4891*T1^14*T2^11 + 379*T1^15*T2^11 - 
      988*T1^16*T2^11 + 235*T1^4*T2^12 + 907*T1^5*T2^12 - 3563*T1^6*T2^12 + 
      2339*T1^7*T2^12 + 3990*T1^8*T2^12 - 11526*T1^9*T2^12 + 
      5414*T1^10*T2^12 + 1330*T1^11*T2^12 - 11894*T1^12*T2^12 + 
      9101*T1^13*T2^12 - 2197*T1^14*T2^12 - 1953*T1^15*T2^12 + 
      1147*T1^16*T2^12 - 400*T1^5*T2^13 + 244*T1^6*T2^13 + 2330*T1^7*T2^13 - 
      5139*T1^8*T2^13 + 4211*T1^9*T2^13 + 3332*T1^10*T2^13 - 
      7550*T1^11*T2^13 + 9101*T1^12*T2^13 - 2905*T1^13*T2^13 - 
      2049*T1^14*T2^13 + 2840*T1^15*T2^13 - 988*T1^16*T2^13 + 
      355*T1^6*T2^14 - 957*T1^7*T2^14 + 287*T1^8*T2^14 + 2359*T1^9*T2^14 - 
      5445*T1^10*T2^14 + 4891*T1^11*T2^14 - 2197*T1^12*T2^14 - 
      2049*T1^13*T2^14 + 3419*T1^14*T2^14 - 2233*T1^15*T2^14 + 
      587*T1^16*T2^14 - 180*T1^7*T2^15 + 760*T1^8*T2^15 - 1353*T1^9*T2^15 + 
      1124*T1^10*T2^15 + 379*T1^11*T2^15 - 1953*T1^12*T2^15 + 
      2840*T1^13*T2^15 - 2233*T1^14*T2^15 + 1046*T1^15*T2^15 - 
      224*T1^16*T2^15 + 41*T1^8*T2^16 - 224*T1^9*T2^16 + 587*T1^10*T2^16 - 
      988*T1^11*T2^16 + 1147*T1^12*T2^16 - 988*T1^13*T2^16 + 
      587*T1^14*T2^16 - 224*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 858] -> 
  {-((3 - 16*T + 38*T^2 - 51*T^3 + 38*T^4 - 16*T^5 + 3*T^6)/T^3), 
   -((-72 + 388*T1 - 926*T1^2 + 1242*T1^3 - 926*T1^4 + 388*T1^5 - 72*T1^6 + 
      388*T2 - 1844*T1*T2 + 3663*T1^2*T2 - 3527*T1^3*T2 + 745*T1^4*T2 + 
      1071*T1^5*T2 - 932*T1^6*T2 + 244*T1^7*T2 - 926*T2^2 + 3663*T1*T2^2 - 
      4984*T1^2*T2^2 + 143*T1^3*T2^2 + 7894*T1^4*T2^2 - 7837*T1^5*T2^2 + 
      2996*T1^6*T2^2 + 15*T1^7*T2^2 - 242*T1^8*T2^2 + 1242*T2^3 - 
      3527*T1*T2^3 + 143*T1^2*T2^3 + 12215*T1^3*T2^3 - 20554*T1^4*T2^3 + 
      8772*T1^5*T2^3 + 4169*T1^6*T2^3 - 5747*T1^7*T2^3 + 1993*T1^8*T2^3 - 
      135*T1^9*T2^3 - 926*T2^4 + 745*T1*T2^4 + 7894*T1^2*T2^4 - 
      20554*T1^3*T2^4 + 15397*T1^4*T2^4 + 13237*T1^5*T2^4 - 25763*T1^6*T2^4 + 
      13310*T1^7*T2^4 - 890*T1^8*T2^4 - 1655*T1^9*T2^4 + 442*T1^10*T2^4 + 
      388*T2^5 + 1071*T1*T2^5 - 7837*T1^2*T2^5 + 8772*T1^3*T2^5 + 
      13237*T1^4*T2^5 - 42638*T1^5*T2^5 + 35908*T1^6*T2^5 - 2039*T1^7*T2^5 - 
      11478*T1^8*T2^5 + 6413*T1^9*T2^5 - 561*T1^10*T2^5 - 332*T1^11*T2^5 - 
      72*T2^6 - 932*T1*T2^6 + 2996*T1^2*T2^6 + 4169*T1^3*T2^6 - 
      25763*T1^4*T2^6 + 35908*T1^5*T2^6 - 8232*T1^6*T2^6 - 30196*T1^7*T2^6 + 
      25145*T1^8*T2^6 - 5881*T1^9*T2^6 - 2672*T1^10*T2^6 + 1276*T1^11*T2^6 + 
      90*T1^12*T2^6 + 244*T1*T2^7 + 15*T1^2*T2^7 - 5747*T1^3*T2^7 + 
      13310*T1^4*T2^7 - 2039*T1^5*T2^7 - 30196*T1^6*T2^7 + 48350*T1^7*T2^7 - 
      17315*T1^8*T2^7 - 6940*T1^9*T2^7 + 8503*T1^10*T2^7 - 1617*T1^11*T2^7 - 
      476*T1^12*T2^7 - 242*T1^2*T2^8 + 1993*T1^3*T2^8 - 890*T1^4*T2^8 - 
      11478*T1^5*T2^8 + 25145*T1^6*T2^8 - 17315*T1^7*T2^8 - 16015*T1^8*T2^8 + 
      22386*T1^9*T2^8 - 9674*T1^10*T2^8 - 407*T1^11*T2^8 + 1126*T1^12*T2^8 - 
      135*T1^3*T2^9 - 1655*T1^4*T2^9 + 6413*T1^5*T2^9 - 5881*T1^6*T2^9 - 
      6940*T1^7*T2^9 + 22386*T1^8*T2^9 - 13927*T1^9*T2^9 + 523*T1^10*T2^9 + 
      3865*T1^11*T2^9 - 1512*T1^12*T2^9 + 442*T1^4*T2^10 - 561*T1^5*T2^10 - 
      2672*T1^6*T2^10 + 8503*T1^7*T2^10 - 9674*T1^8*T2^10 + 523*T1^9*T2^10 + 
      5308*T1^10*T2^10 - 4209*T1^11*T2^10 + 1126*T1^12*T2^10 - 
      332*T1^5*T2^11 + 1276*T1^6*T2^11 - 1617*T1^7*T2^11 - 407*T1^8*T2^11 + 
      3865*T1^9*T2^11 - 4209*T1^10*T2^11 + 2188*T1^11*T2^11 - 
      476*T1^12*T2^11 + 90*T1^6*T2^12 - 476*T1^7*T2^12 + 1126*T1^8*T2^12 - 
      1512*T1^9*T2^12 + 1126*T1^10*T2^12 - 476*T1^11*T2^12 + 90*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 859] -> 
  {(1 - 4*T + 8*T^2 - 10*T^3 + 11*T^4 - 11*T^5 + 11*T^6 - 10*T^7 + 8*T^8 - 
     4*T^9 + T^10)/T^5, (-2 + 8*T1 - 16*T1^2 + 20*T1^3 - 22*T1^4 + 22*T1^5 - 
     22*T1^6 + 20*T1^7 - 16*T1^8 + 8*T1^9 - 2*T1^10 + 8*T2 - 28*T1*T2 + 
     48*T1^2*T2 - 48*T1^3*T2 + 48*T1^4*T2 - 44*T1^5*T2 + 44*T1^6*T2 - 
     36*T1^7*T2 + 24*T1^8*T2 - 8*T1^10*T2 + 4*T1^11*T2 - 16*T2^2 + 
     48*T1*T2^2 - 66*T1^2*T2^2 + 39*T1^3*T2^2 - 29*T1^4*T2^2 + 15*T1^5*T2^2 - 
     16*T1^6*T2^2 - T1^7*T2^2 + 19*T1^8*T2^2 - 57*T1^9*T2^2 + 46*T1^10*T2^2 - 
     16*T1^11*T2^2 + 20*T2^3 - 48*T1*T2^3 + 39*T1^2*T2^3 + 30*T1^3*T2^3 - 
     40*T1^4*T2^3 + 45*T1^5*T2^3 - 28*T1^6*T2^3 + 46*T1^7*T2^3 - 
     57*T1^8*T2^3 + 86*T1^9*T2^3 - 24*T1^10*T2^3 - 41*T1^11*T2^3 + 
     40*T1^12*T2^3 - 10*T1^13*T2^3 - 22*T2^4 + 48*T1*T2^4 - 29*T1^2*T2^4 - 
     40*T1^3*T2^4 + 5*T1^4*T2^4 + 22*T1^5*T2^4 - 37*T1^6*T2^4 + 3*T1^7*T2^4 + 
     15*T1^8*T2^4 - 46*T1^9*T2^4 - 35*T1^10*T2^4 + 80*T1^11*T2^4 + 
     3*T1^12*T2^4 - 48*T1^13*T2^4 + 22*T1^14*T2^4 + 22*T2^5 - 44*T1*T2^5 + 
     15*T1^2*T2^5 + 45*T1^3*T2^5 + 22*T1^4*T2^5 - 43*T1^5*T2^5 + 
     18*T1^6*T2^5 + 9*T1^7*T2^5 - 13*T1^8*T2^5 + 21*T1^9*T2^5 + 
     77*T1^10*T2^5 - 91*T1^11*T2^5 - 61*T1^12*T2^5 + 23*T1^13*T2^5 + 
     44*T1^14*T2^5 - 33*T1^15*T2^5 - 22*T2^6 + 44*T1*T2^6 - 16*T1^2*T2^6 - 
     28*T1^3*T2^6 - 37*T1^4*T2^6 + 18*T1^5*T2^6 + 30*T1^6*T2^6 - 
     8*T1^7*T2^6 + 28*T1^8*T2^6 - 52*T1^9*T2^6 - 14*T1^10*T2^6 - 
     4*T1^11*T2^6 + 161*T1^12*T2^6 + 16*T1^13*T2^6 - 16*T1^14*T2^6 - 
     44*T1^15*T2^6 + 44*T1^16*T2^6 + 20*T2^7 - 36*T1*T2^7 - T1^2*T2^7 + 
     46*T1^3*T2^7 + 3*T1^4*T2^7 + 9*T1^5*T2^7 - 8*T1^6*T2^7 - 66*T1^7*T2^7 - 
     5*T1^8*T2^7 - 9*T1^9*T2^7 + 110*T1^10*T2^7 - 118*T1^11*T2^7 - 
     57*T1^12*T2^7 - 129*T1^13*T2^7 - 68*T1^14*T2^7 + 55*T1^15*T2^7 + 
     24*T1^16*T2^7 - 50*T1^17*T2^7 - 16*T2^8 + 24*T1*T2^8 + 19*T1^2*T2^8 - 
     57*T1^3*T2^8 + 15*T1^4*T2^8 - 13*T1^5*T2^8 + 28*T1^6*T2^8 - 
     5*T1^7*T2^8 + 141*T1^8*T2^8 - 45*T1^9*T2^8 - 15*T1^10*T2^8 - 
     49*T1^11*T2^8 + 292*T1^12*T2^8 - 57*T1^13*T2^8 + 255*T1^14*T2^8 + 
     35*T1^15*T2^8 - 77*T1^16*T2^8 + 8*T1^17*T2^8 + 48*T1^18*T2^8 + 8*T2^9 - 
     57*T1^2*T2^9 + 86*T1^3*T2^9 - 46*T1^4*T2^9 + 21*T1^5*T2^9 - 
     52*T1^6*T2^9 - 9*T1^7*T2^9 - 45*T1^8*T2^9 - 217*T1^9*T2^9 + 
     207*T1^10*T2^9 - 140*T1^11*T2^9 - 85*T1^12*T2^9 - 206*T1^13*T2^9 - 
     82*T1^14*T2^9 - 203*T1^15*T2^9 - 76*T1^16*T2^9 + 151*T1^17*T2^9 - 
     80*T1^18*T2^9 - 28*T1^19*T2^9 - 2*T2^10 - 8*T1*T2^10 + 46*T1^2*T2^10 - 
     24*T1^3*T2^10 - 35*T1^4*T2^10 + 77*T1^5*T2^10 - 14*T1^6*T2^10 + 
     110*T1^7*T2^10 - 15*T1^8*T2^10 + 207*T1^9*T2^10 + 132*T1^10*T2^10 - 
     283*T1^11*T2^10 + 551*T1^12*T2^10 - 258*T1^13*T2^10 + 606*T1^14*T2^10 - 
     233*T1^15*T2^10 + 509*T1^16*T2^10 - 236*T1^17*T2^10 - 2*T1^18*T2^10 + 
     80*T1^19*T2^10 + 8*T1^20*T2^10 + 4*T1*T2^11 - 16*T1^2*T2^11 - 
     41*T1^3*T2^11 + 80*T1^4*T2^11 - 91*T1^5*T2^11 - 4*T1^6*T2^11 - 
     118*T1^7*T2^11 - 49*T1^8*T2^11 - 140*T1^9*T2^11 - 283*T1^10*T2^11 + 
     141*T1^11*T2^11 - 235*T1^12*T2^11 - 125*T1^13*T2^11 - 272*T1^14*T2^11 - 
     107*T1^15*T2^11 - 248*T1^16*T2^11 - 82*T1^17*T2^11 + 167*T1^18*T2^11 - 
     96*T1^19*T2^11 - 32*T1^20*T2^11 + 40*T1^3*T2^12 + 3*T1^4*T2^12 - 
     61*T1^5*T2^12 + 161*T1^6*T2^12 - 57*T1^7*T2^12 + 292*T1^8*T2^12 - 
     85*T1^9*T2^12 + 551*T1^10*T2^12 - 235*T1^11*T2^12 + 395*T1^12*T2^12 - 
     129*T1^13*T2^12 + 556*T1^14*T2^12 - 101*T1^15*T2^12 + 401*T1^16*T2^12 + 
     31*T1^17*T2^12 - 93*T1^18*T2^12 + 24*T1^19*T2^12 + 64*T1^20*T2^12 - 
     10*T1^3*T2^13 - 48*T1^4*T2^13 + 23*T1^5*T2^13 + 16*T1^6*T2^13 - 
     129*T1^7*T2^13 - 57*T1^8*T2^13 - 206*T1^9*T2^13 - 258*T1^10*T2^13 - 
     125*T1^11*T2^13 - 129*T1^12*T2^13 - 82*T1^13*T2^13 - 316*T1^14*T2^13 - 
     123*T1^15*T2^13 - 261*T1^16*T2^13 - 98*T1^17*T2^13 + 79*T1^18*T2^13 + 
     12*T1^19*T2^13 - 80*T1^20*T2^13 + 22*T1^4*T2^14 + 44*T1^5*T2^14 - 
     16*T1^6*T2^14 - 68*T1^7*T2^14 + 255*T1^8*T2^14 - 82*T1^9*T2^14 + 
     606*T1^10*T2^14 - 272*T1^11*T2^14 + 556*T1^12*T2^14 - 316*T1^13*T2^14 + 
     562*T1^14*T2^14 - 104*T1^15*T2^14 + 453*T1^16*T2^14 - 24*T1^17*T2^14 - 
     16*T1^18*T2^14 - 44*T1^19*T2^14 + 88*T1^20*T2^14 - 33*T1^5*T2^15 - 
     44*T1^6*T2^15 + 55*T1^7*T2^15 + 35*T1^8*T2^15 - 203*T1^9*T2^15 - 
     233*T1^10*T2^15 - 107*T1^11*T2^15 - 101*T1^12*T2^15 - 123*T1^13*T2^15 - 
     104*T1^14*T2^15 - 113*T1^15*T2^15 - 316*T1^16*T2^15 - 71*T1^17*T2^15 + 
     63*T1^18*T2^15 + 44*T1^19*T2^15 - 88*T1^20*T2^15 + 44*T1^6*T2^16 + 
     24*T1^7*T2^16 - 77*T1^8*T2^16 - 76*T1^9*T2^16 + 509*T1^10*T2^16 - 
     248*T1^11*T2^16 + 401*T1^12*T2^16 - 261*T1^13*T2^16 + 453*T1^14*T2^16 - 
     316*T1^15*T2^16 + 469*T1^16*T2^16 + 44*T1^17*T2^16 - 45*T1^18*T2^16 - 
     72*T1^19*T2^16 + 88*T1^20*T2^16 - 50*T1^7*T2^17 + 8*T1^8*T2^17 + 
     151*T1^9*T2^17 - 236*T1^10*T2^17 - 82*T1^11*T2^17 + 31*T1^12*T2^17 - 
     98*T1^13*T2^17 - 24*T1^14*T2^17 - 71*T1^15*T2^17 + 44*T1^16*T2^17 - 
     290*T1^17*T2^17 + 71*T1^18*T2^17 + 96*T1^19*T2^17 - 80*T1^20*T2^17 + 
     48*T1^8*T2^18 - 80*T1^9*T2^18 - 2*T1^10*T2^18 + 167*T1^11*T2^18 - 
     93*T1^12*T2^18 + 79*T1^13*T2^18 - 16*T1^14*T2^18 + 63*T1^15*T2^18 - 
     45*T1^16*T2^18 + 71*T1^17*T2^18 + 110*T1^18*T2^18 - 144*T1^19*T2^18 + 
     64*T1^20*T2^18 - 28*T1^9*T2^19 + 80*T1^10*T2^19 - 96*T1^11*T2^19 + 
     24*T1^12*T2^19 + 12*T1^13*T2^19 - 44*T1^14*T2^19 + 44*T1^15*T2^19 - 
     72*T1^16*T2^19 + 96*T1^17*T2^19 - 144*T1^18*T2^19 + 100*T1^19*T2^19 - 
     32*T1^20*T2^19 + 8*T1^10*T2^20 - 32*T1^11*T2^20 + 64*T1^12*T2^20 - 
     80*T1^13*T2^20 + 88*T1^14*T2^20 - 88*T1^15*T2^20 + 88*T1^16*T2^20 - 
     80*T1^17*T2^20 + 64*T1^18*T2^20 - 32*T1^19*T2^20 + 8*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 860] -> 
  {(2 - 9*T + 20*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 68*T1 - 152*T1^2 + 214*T1^3 - 237*T1^4 + 214*T1^5 - 
     152*T1^6 + 68*T1^7 - 15*T1^8 + 68*T2 - 276*T1*T2 + 542*T1^2*T2 - 
     640*T1^3*T2 + 608*T1^4*T2 - 454*T1^5*T2 + 224*T1^6*T2 + 20*T1^7*T2 - 
     78*T1^8*T2 + 32*T1^9*T2 - 152*T2^2 + 542*T1*T2^2 - 879*T1^2*T2^2 + 
     700*T1^3*T2^2 - 348*T1^4*T2^2 - 103*T1^5*T2^2 + 532*T1^6*T2^2 - 
     820*T1^7*T2^2 + 561*T1^8*T2^2 - 178*T1^9*T2^2 + 8*T1^10*T2^2 + 
     214*T2^3 - 640*T1*T2^3 + 700*T1^2*T2^3 + 134*T1^3*T2^3 - 830*T1^4*T2^3 + 
     1224*T1^5*T2^3 - 1332*T1^6*T2^3 + 1090*T1^7*T2^3 - 46*T1^8*T2^3 - 
     680*T1^9*T2^3 + 512*T1^10*T2^3 - 122*T1^11*T2^3 - 237*T2^4 + 
     608*T1*T2^4 - 348*T1^2*T2^4 - 830*T1^3*T2^4 + 1146*T1^4*T2^4 - 
     769*T1^5*T2^4 + 458*T1^6*T2^4 + 63*T1^7*T2^4 - 1238*T1^8*T2^4 + 
     1298*T1^9*T2^4 + 76*T1^10*T2^4 - 616*T1^11*T2^4 + 259*T1^12*T2^4 + 
     214*T2^5 - 454*T1*T2^5 - 103*T1^2*T2^5 + 1224*T1^3*T2^5 - 
     769*T1^4*T2^5 - 233*T1^5*T2^5 + 244*T1^6*T2^5 - 740*T1^7*T2^5 + 
     1567*T1^8*T2^5 - 579*T1^9*T2^5 - 1516*T1^10*T2^5 + 710*T1^11*T2^5 + 
     392*T1^12*T2^5 - 346*T1^13*T2^5 - 152*T2^6 + 224*T1*T2^6 + 
     532*T1^2*T2^6 - 1332*T1^3*T2^6 + 458*T1^4*T2^6 + 244*T1^5*T2^6 + 
     658*T1^6*T2^6 + 128*T1^7*T2^6 - 534*T1^8*T2^6 - 804*T1^9*T2^6 + 
     1994*T1^10*T2^6 + 948*T1^11*T2^6 - 1260*T1^12*T2^6 + 80*T1^13*T2^6 + 
     328*T1^14*T2^6 + 68*T2^7 + 20*T1*T2^7 - 820*T1^2*T2^7 + 1090*T1^3*T2^7 + 
     63*T1^4*T2^7 - 740*T1^5*T2^7 + 128*T1^6*T2^7 - 2396*T1^7*T2^7 + 
     2318*T1^8*T2^7 - 928*T1^9*T2^7 + 116*T1^10*T2^7 - 2695*T1^11*T2^7 + 
     2*T1^12*T2^7 + 1400*T1^13*T2^7 - 646*T1^14*T2^7 - 184*T1^15*T2^7 - 
     15*T2^8 - 78*T1*T2^8 + 561*T1^2*T2^8 - 46*T1^3*T2^8 - 1238*T1^4*T2^8 + 
     1567*T1^5*T2^8 - 534*T1^6*T2^8 + 2318*T1^7*T2^8 + 420*T1^8*T2^8 - 
     2374*T1^9*T2^8 + 3106*T1^10*T2^8 - 839*T1^11*T2^8 + 4034*T1^12*T2^8 - 
     2486*T1^13*T2^8 + 27*T1^14*T2^8 + 606*T1^15*T2^8 + 49*T1^16*T2^8 + 
     32*T1*T2^9 - 178*T1^2*T2^9 - 680*T1^3*T2^9 + 1298*T1^4*T2^9 - 
     579*T1^5*T2^9 - 804*T1^6*T2^9 - 928*T1^7*T2^9 - 2374*T1^8*T2^9 + 
     2340*T1^9*T2^9 - 1984*T1^10*T2^9 + 52*T1^11*T2^9 - 3337*T1^12*T2^9 + 
     210*T1^13*T2^9 + 1540*T1^14*T2^9 - 844*T1^15*T2^9 - 220*T1^16*T2^9 + 
     8*T1^2*T2^10 + 512*T1^3*T2^10 + 76*T1^4*T2^10 - 1516*T1^5*T2^10 + 
     1994*T1^6*T2^10 + 116*T1^7*T2^10 + 3106*T1^8*T2^10 - 1984*T1^9*T2^10 + 
     1914*T1^10*T2^10 - 932*T1^11*T2^10 + 3530*T1^12*T2^10 + 
     764*T1^13*T2^10 - 1716*T1^14*T2^10 + 368*T1^15*T2^10 + 488*T1^16*T2^10 - 
     122*T1^3*T2^11 - 616*T1^4*T2^11 + 710*T1^5*T2^11 + 948*T1^6*T2^11 - 
     2695*T1^7*T2^11 - 839*T1^8*T2^11 + 52*T1^9*T2^11 - 932*T1^10*T2^11 + 
     961*T1^11*T2^11 - 2505*T1^12*T2^11 - 1792*T1^13*T2^11 + 
     1523*T1^14*T2^11 + 230*T1^15*T2^11 - 682*T1^16*T2^11 + 259*T1^4*T2^12 + 
     392*T1^5*T2^12 - 1260*T1^6*T2^12 + 2*T1^7*T2^12 + 4034*T1^8*T2^12 - 
     3337*T1^9*T2^12 + 3530*T1^10*T2^12 - 2505*T1^11*T2^12 + 
     1650*T1^12*T2^12 + 2130*T1^13*T2^12 - 836*T1^14*T2^12 - 
     832*T1^15*T2^12 + 755*T1^16*T2^12 - 346*T1^5*T2^13 + 80*T1^6*T2^13 + 
     1400*T1^7*T2^13 - 2486*T1^8*T2^13 + 210*T1^9*T2^13 + 764*T1^10*T2^13 - 
     1792*T1^11*T2^13 + 2130*T1^12*T2^13 - 2666*T1^13*T2^13 + 
     20*T1^14*T2^13 + 1232*T1^15*T2^13 - 682*T1^16*T2^13 + 328*T1^6*T2^14 - 
     646*T1^7*T2^14 + 27*T1^8*T2^14 + 1540*T1^9*T2^14 - 1716*T1^10*T2^14 + 
     1523*T1^11*T2^14 - 836*T1^12*T2^14 + 20*T1^13*T2^14 + 1467*T1^14*T2^14 - 
     1366*T1^15*T2^14 + 488*T1^16*T2^14 - 184*T1^7*T2^15 + 606*T1^8*T2^15 - 
     844*T1^9*T2^15 + 368*T1^10*T2^15 + 230*T1^11*T2^15 - 832*T1^12*T2^15 + 
     1232*T1^13*T2^15 - 1366*T1^14*T2^15 + 804*T1^15*T2^15 - 
     220*T1^16*T2^15 + 49*T1^8*T2^16 - 220*T1^9*T2^16 + 488*T1^10*T2^16 - 
     682*T1^11*T2^16 + 755*T1^12*T2^16 - 682*T1^13*T2^16 + 488*T1^14*T2^16 - 
     220*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 861] -> 
  {((1 - T + T^2)*(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6))/T^4, 
   (-15 + 76*T1 - 192*T1^2 + 310*T1^3 - 365*T1^4 + 310*T1^5 - 192*T1^6 + 
     76*T1^7 - 15*T1^8 + 76*T2 - 348*T1*T2 + 784*T1^2*T2 - 1092*T1^3*T2 + 
     1076*T1^4*T2 - 664*T1^5*T2 + 208*T1^6*T2 + 84*T1^7*T2 - 108*T1^8*T2 + 
     36*T1^9*T2 - 192*T2^2 + 784*T1*T2^2 - 1509*T1^2*T2^2 + 1589*T1^3*T2^2 - 
     859*T1^4*T2^2 - 503*T1^5*T2^2 + 1341*T1^6*T2^2 - 1411*T1^7*T2^2 + 
     791*T1^8*T2^2 - 216*T1^9*T2^2 + 8*T1^10*T2^2 + 310*T2^3 - 1092*T1*T2^3 + 
     1589*T1^2*T2^3 - 582*T1^3*T2^3 - 1358*T1^4*T2^3 + 3213*T1^5*T2^3 - 
     2937*T1^6*T2^3 + 1212*T1^7*T2^3 + 748*T1^8*T2^3 - 1411*T1^9*T2^3 + 
     808*T1^10*T2^3 - 170*T1^11*T2^3 - 365*T2^4 + 1076*T1*T2^4 - 
     859*T1^2*T2^4 - 1358*T1^3*T2^4 + 3462*T1^4*T2^4 - 3700*T1^5*T2^4 + 
     700*T1^6*T2^4 + 2620*T1^7*T2^4 - 3618*T1^8*T2^4 + 2002*T1^9*T2^4 + 
     541*T1^10*T2^4 - 1084*T1^11*T2^4 + 387*T1^12*T2^4 + 310*T2^5 - 
     664*T1*T2^5 - 503*T1^2*T2^5 + 3213*T1^3*T2^5 - 3700*T1^4*T2^5 + 
     800*T1^5*T2^5 + 3762*T1^6*T2^5 - 5588*T1^7*T2^5 + 2230*T1^8*T2^5 + 
     1720*T1^9*T2^5 - 4037*T1^10*T2^5 + 1597*T1^11*T2^5 + 516*T1^12*T2^5 - 
     490*T1^13*T2^5 - 192*T2^6 + 208*T1*T2^6 + 1341*T1^2*T2^6 - 
     2937*T1^3*T2^6 + 700*T1^4*T2^6 + 3762*T1^5*T2^6 - 5105*T1^6*T2^6 + 
     2009*T1^7*T2^6 + 5495*T1^8*T2^6 - 6738*T1^9*T2^6 + 4850*T1^10*T2^6 + 
     1563*T1^11*T2^6 - 2459*T1^12*T2^6 + 408*T1^13*T2^6 + 408*T1^14*T2^6 + 
     76*T2^7 + 84*T1*T2^7 - 1411*T1^2*T2^7 + 1212*T1^3*T2^7 + 
     2620*T1^4*T2^7 - 5588*T1^5*T2^7 + 2009*T1^6*T2^7 + 2538*T1^7*T2^7 - 
     8092*T1^8*T2^7 + 2209*T1^9*T2^7 + 1462*T1^10*T2^7 - 6400*T1^11*T2^7 + 
     1802*T1^12*T2^7 + 1589*T1^13*T2^7 - 1016*T1^14*T2^7 - 204*T1^15*T2^7 - 
     15*T2^8 - 108*T1*T2^8 + 791*T1^2*T2^8 + 748*T1^3*T2^8 - 3618*T1^4*T2^8 + 
     2230*T1^5*T2^8 + 5495*T1^6*T2^8 - 8092*T1^7*T2^8 + 9624*T1^8*T2^8 + 
     788*T1^9*T2^8 - 1205*T1^10*T2^8 + 2750*T1^11*T2^8 + 4386*T1^12*T2^8 - 
     4132*T1^13*T2^8 + 591*T1^14*T2^8 + 772*T1^15*T2^8 + 49*T1^16*T2^8 + 
     36*T1*T2^9 - 216*T1^2*T2^9 - 1411*T1^3*T2^9 + 2002*T1^4*T2^9 + 
     1720*T1^5*T2^9 - 6738*T1^6*T2^9 + 2209*T1^7*T2^9 + 788*T1^8*T2^9 - 
     9842*T1^9*T2^9 + 2409*T1^10*T2^9 + 312*T1^11*T2^9 - 7300*T1^12*T2^9 + 
     2592*T1^13*T2^9 + 1589*T1^14*T2^9 - 1316*T1^15*T2^9 - 244*T1^16*T2^9 + 
     8*T1^2*T2^10 + 808*T1^3*T2^10 + 541*T1^4*T2^10 - 4037*T1^5*T2^10 + 
     4850*T1^6*T2^10 + 1462*T1^7*T2^10 - 1205*T1^8*T2^10 + 2409*T1^9*T2^10 + 
     9395*T1^10*T2^10 - 9038*T1^11*T2^10 + 9000*T1^12*T2^10 + 
     463*T1^13*T2^10 - 3259*T1^14*T2^10 + 1008*T1^15*T2^10 + 
     608*T1^16*T2^10 - 170*T1^3*T2^11 - 1084*T1^4*T2^11 + 1597*T1^5*T2^11 + 
     1563*T1^6*T2^11 - 6400*T1^7*T2^11 + 2750*T1^8*T2^11 + 312*T1^9*T2^11 - 
     9038*T1^10*T2^11 + 4180*T1^11*T2^11 - 980*T1^12*T2^11 - 
     5687*T1^13*T2^11 + 3697*T1^14*T2^11 + 96*T1^15*T2^11 - 970*T1^16*T2^11 + 
     387*T1^4*T2^12 + 516*T1^5*T2^12 - 2459*T1^6*T2^12 + 1802*T1^7*T2^12 + 
     4386*T1^8*T2^12 - 7300*T1^9*T2^12 + 9000*T1^10*T2^12 - 980*T1^11*T2^12 - 
     2694*T1^12*T2^12 + 5162*T1^13*T2^12 - 1059*T1^14*T2^12 - 
     1644*T1^15*T2^12 + 1139*T1^16*T2^12 - 490*T1^5*T2^13 + 408*T1^6*T2^13 + 
     1589*T1^7*T2^13 - 4132*T1^8*T2^13 + 2592*T1^9*T2^13 + 463*T1^10*T2^13 - 
     5687*T1^11*T2^13 + 5162*T1^12*T2^13 - 2802*T1^13*T2^13 - 
     1411*T1^14*T2^13 + 2308*T1^15*T2^13 - 970*T1^16*T2^13 + 408*T1^6*T2^14 - 
     1016*T1^7*T2^14 + 591*T1^8*T2^14 + 1589*T1^9*T2^14 - 3259*T1^10*T2^14 + 
     3697*T1^11*T2^14 - 1059*T1^12*T2^14 - 1411*T1^13*T2^14 + 
     2891*T1^14*T2^14 - 2016*T1^15*T2^14 + 608*T1^16*T2^14 - 204*T1^7*T2^15 + 
     772*T1^8*T2^15 - 1316*T1^9*T2^15 + 1008*T1^10*T2^15 + 96*T1^11*T2^15 - 
     1644*T1^12*T2^15 + 2308*T1^13*T2^15 - 2016*T1^14*T2^15 + 
     1012*T1^15*T2^15 - 244*T1^16*T2^15 + 49*T1^8*T2^16 - 244*T1^9*T2^16 + 
     608*T1^10*T2^16 - 970*T1^11*T2^16 + 1139*T1^12*T2^16 - 970*T1^13*T2^16 + 
     608*T1^14*T2^16 - 244*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 862] -> 
  {((1 - T + T^2)*(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4))/T^3, 
   (-112 + 536*T1 - 1192*T1^2 + 1512*T1^3 - 1192*T1^4 + 536*T1^5 - 112*T1^6 + 
     536*T2 - 2332*T1*T2 + 4581*T1^2*T2 - 4721*T1^3*T2 + 2499*T1^4*T2 - 
     55*T1^5*T2 - 584*T1^6*T2 + 232*T1^7*T2 - 1192*T2^2 + 4581*T1*T2^2 - 
     7186*T1^2*T2^2 + 3536*T1^3*T2^2 + 3820*T1^4*T2^2 - 7888*T1^5*T2^2 + 
     5582*T1^6*T2^2 - 1803*T1^7*T2^2 + 152*T1^8*T2^2 + 1512*T2^3 - 
     4721*T1*T2^3 + 3536*T1^2*T2^3 + 8126*T1^3*T2^3 - 19605*T1^4*T2^3 + 
     17409*T1^5*T2^3 - 4300*T1^6*T2^3 - 4822*T1^7*T2^3 + 4171*T1^8*T2^3 - 
     1032*T1^9*T2^3 - 1192*T2^4 + 2499*T1*T2^4 + 3820*T1^2*T2^4 - 
     19605*T1^3*T2^4 + 24078*T1^4*T2^4 - 3882*T1^5*T2^4 - 18862*T1^6*T2^4 + 
     21311*T1^7*T2^4 - 6222*T1^8*T2^4 - 2213*T1^9*T2^4 + 1496*T1^10*T2^4 + 
     536*T2^5 - 55*T1*T2^5 - 7888*T1^2*T2^5 + 17409*T1^3*T2^5 - 
     3882*T1^4*T2^5 - 31660*T1^5*T2^5 + 42516*T1^6*T2^5 - 19170*T1^7*T2^5 - 
     11801*T1^8*T2^5 + 12734*T1^9*T2^5 - 2411*T1^10*T2^5 - 984*T1^11*T2^5 - 
     112*T2^6 - 584*T1*T2^6 + 5582*T1^2*T2^6 - 4300*T1^3*T2^6 - 
     18862*T1^4*T2^6 + 42516*T1^5*T2^6 - 17964*T1^6*T2^6 - 24388*T1^7*T2^6 + 
     42702*T1^8*T2^6 - 15772*T1^9*T2^6 - 3710*T1^10*T2^6 + 3368*T1^11*T2^6 + 
     272*T1^12*T2^6 + 232*T1*T2^7 - 1803*T1^2*T2^7 - 4822*T1^3*T2^7 + 
     21311*T1^4*T2^7 - 19170*T1^5*T2^7 - 24388*T1^6*T2^7 + 49788*T1^7*T2^7 - 
     34458*T1^8*T2^7 - 7899*T1^9*T2^7 + 15800*T1^10*T2^7 - 4159*T1^11*T2^7 - 
     1288*T1^12*T2^7 + 152*T1^2*T2^8 + 4171*T1^3*T2^8 - 6222*T1^4*T2^8 - 
     11801*T1^5*T2^8 + 42702*T1^6*T2^8 - 34458*T1^7*T2^8 - 238*T1^8*T2^8 + 
     29115*T1^9*T2^8 - 16264*T1^10*T2^8 - 541*T1^11*T2^8 + 2840*T1^12*T2^8 - 
     1032*T1^3*T2^9 - 2213*T1^4*T2^9 + 12734*T1^5*T2^9 - 15772*T1^6*T2^9 - 
     7899*T1^7*T2^9 + 29115*T1^8*T2^9 - 28198*T1^9*T2^9 + 4376*T1^10*T2^9 + 
     6679*T1^11*T2^9 - 3576*T1^12*T2^9 + 1496*T1^4*T2^10 - 2411*T1^5*T2^10 - 
     3710*T1^6*T2^10 + 15800*T1^7*T2^10 - 16264*T1^8*T2^10 + 
     4376*T1^9*T2^10 + 9058*T1^10*T2^10 - 8795*T1^11*T2^10 + 
     2840*T1^12*T2^10 - 984*T1^5*T2^11 + 3368*T1^6*T2^11 - 4159*T1^7*T2^11 - 
     541*T1^8*T2^11 + 6679*T1^9*T2^11 - 8795*T1^10*T2^11 + 5116*T1^11*T2^11 - 
     1288*T1^12*T2^11 + 272*T1^6*T2^12 - 1288*T1^7*T2^12 + 2840*T1^8*T2^12 - 
     3576*T1^9*T2^12 + 2840*T1^10*T2^12 - 1288*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 863] -> 
  {(3 - 14*T + 30*T^2 - 37*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (-45 + 212*T1 - 456*T1^2 + 565*T1^3 - 456*T1^4 + 212*T1^5 - 45*T1^6 + 
     212*T2 - 912*T1*T2 + 1736*T1^2*T2 - 1772*T1^3*T2 + 1042*T1^4*T2 - 
     112*T1^5*T2 - 198*T1^6*T2 + 86*T1^7*T2 - 456*T2^2 + 1736*T1*T2^2 - 
     2609*T1^2*T2^2 + 1238*T1^3*T2^2 + 1243*T1^4*T2^2 - 2902*T1^5*T2^2 + 
     2251*T1^6*T2^2 - 784*T1^7*T2^2 + 84*T1^8*T2^2 + 565*T2^3 - 
     1772*T1*T2^3 + 1238*T1^2*T2^3 + 2971*T1^3*T2^3 - 6884*T1^4*T2^3 + 
     6604*T1^5*T2^3 - 2189*T1^6*T2^3 - 1612*T1^7*T2^3 + 1630*T1^8*T2^3 - 
     434*T1^9*T2^3 - 456*T2^4 + 1042*T1*T2^4 + 1243*T1^2*T2^4 - 
     6884*T1^3*T2^4 + 8485*T1^4*T2^4 - 2205*T1^5*T2^4 - 5623*T1^6*T2^4 + 
     7768*T1^7*T2^4 - 2461*T1^8*T2^4 - 890*T1^9*T2^4 + 624*T1^10*T2^4 + 
     212*T2^5 - 112*T1*T2^5 - 2902*T1^2*T2^5 + 6604*T1^3*T2^5 - 
     2205*T1^4*T2^5 - 9330*T1^5*T2^5 + 13170*T1^6*T2^5 - 6945*T1^7*T2^5 - 
     4556*T1^8*T2^5 + 5108*T1^9*T2^5 - 952*T1^10*T2^5 - 418*T1^11*T2^5 - 
     45*T2^6 - 198*T1*T2^6 + 2251*T1^2*T2^6 - 2189*T1^3*T2^6 - 
     5623*T1^4*T2^6 + 13170*T1^5*T2^6 - 4728*T1^6*T2^6 - 7818*T1^7*T2^6 + 
     15589*T1^8*T2^6 - 5867*T1^9*T2^6 - 1705*T1^10*T2^6 + 1398*T1^11*T2^6 + 
     117*T1^12*T2^6 + 86*T1*T2^7 - 784*T1^2*T2^7 - 1612*T1^3*T2^7 + 
     7768*T1^4*T2^7 - 6945*T1^5*T2^7 - 7818*T1^6*T2^7 + 14682*T1^7*T2^7 - 
     11685*T1^8*T2^7 - 3392*T1^9*T2^7 + 6398*T1^10*T2^7 - 1624*T1^11*T2^7 - 
     544*T1^12*T2^7 + 84*T1^2*T2^8 + 1630*T1^3*T2^8 - 2461*T1^4*T2^8 - 
     4556*T1^5*T2^8 + 15589*T1^6*T2^8 - 11685*T1^7*T2^8 + 1481*T1^8*T2^8 + 
     10096*T1^9*T2^8 - 6165*T1^10*T2^8 - 302*T1^11*T2^8 + 1164*T1^12*T2^8 - 
     434*T1^3*T2^9 - 890*T1^4*T2^9 + 5108*T1^5*T2^9 - 5867*T1^6*T2^9 - 
     3392*T1^7*T2^9 + 10096*T1^8*T2^9 - 11027*T1^9*T2^9 + 2258*T1^10*T2^9 + 
     2512*T1^11*T2^9 - 1433*T1^12*T2^9 + 624*T1^4*T2^10 - 952*T1^5*T2^10 - 
     1705*T1^6*T2^10 + 6398*T1^7*T2^10 - 6165*T1^8*T2^10 + 2258*T1^9*T2^10 + 
     3155*T1^10*T2^10 - 3472*T1^11*T2^10 + 1164*T1^12*T2^10 - 
     418*T1^5*T2^11 + 1398*T1^6*T2^11 - 1624*T1^7*T2^11 - 302*T1^8*T2^11 + 
     2512*T1^9*T2^11 - 3472*T1^10*T2^11 + 2112*T1^11*T2^11 - 
     544*T1^12*T2^11 + 117*T1^6*T2^12 - 544*T1^7*T2^12 + 1164*T1^8*T2^12 - 
     1433*T1^9*T2^12 + 1164*T1^10*T2^12 - 544*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 864] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 9*T^3 + 11*T^4 - 9*T^5 + 7*T^6 - 4*T^7 + 
      T^8))/T^5, (-4 + 20*T1 - 48*T1^2 + 80*T1^3 - 108*T1^4 + 116*T1^5 - 
     108*T1^6 + 80*T1^7 - 48*T1^8 + 20*T1^9 - 4*T1^10 + 20*T2 - 85*T1*T2 + 
     165*T1^2*T2 - 220*T1^3*T2 + 240*T1^4*T2 - 175*T1^5*T2 + 105*T1^6*T2 + 
     5*T1^7*T2 - 60*T1^8*T2 + 80*T1^9*T2 - 55*T1^10*T2 + 15*T1^11*T2 - 
     48*T2^2 + 165*T1*T2^2 - 225*T1^2*T2^2 + 181*T1^3*T2^2 - 88*T1^4*T2^2 - 
     144*T1^5*T2^2 + 219*T1^6*T2^2 - 360*T1^7*T2^2 + 272*T1^8*T2^2 - 
     179*T1^9*T2^2 + 39*T1^10*T2^2 + 45*T1^11*T2^2 - 24*T1^12*T2^2 + 
     80*T2^3 - 220*T1*T2^3 + 181*T1^2*T2^3 - 28*T1^3*T2^3 - 81*T1^4*T2^3 + 
     352*T1^5*T2^3 - 203*T1^6*T2^3 + 337*T1^7*T2^3 - 8*T1^8*T2^3 - 
     81*T1^9*T2^3 + 212*T1^10*T2^3 - 179*T1^11*T2^3 + 20*T1^12*T2^3 + 
     20*T1^13*T2^3 - 108*T2^4 + 240*T1*T2^4 - 88*T1^2*T2^4 - 81*T1^3*T2^4 + 
     103*T1^4*T2^4 - 394*T1^5*T2^4 + 45*T1^6*T2^4 - 389*T1^7*T2^4 - 
     135*T1^8*T2^4 + 14*T1^9*T2^4 - 89*T1^10*T2^4 - 41*T1^11*T2^4 + 
     208*T1^12*T2^4 - 100*T1^13*T2^4 + 116*T2^5 - 175*T1*T2^5 - 
     144*T1^2*T2^5 + 352*T1^3*T2^5 - 394*T1^4*T2^5 + 838*T1^5*T2^5 - 
     383*T1^6*T2^5 + 936*T1^7*T2^5 - 19*T1^8*T2^5 + 302*T1^9*T2^5 - 
     92*T1^10*T2^5 + 116*T1^11*T2^5 - 168*T1^12*T2^5 - 99*T1^13*T2^5 + 
     145*T1^14*T2^5 - 29*T1^15*T2^5 - 108*T2^6 + 105*T1*T2^6 + 
     219*T1^2*T2^6 - 203*T1^3*T2^6 + 45*T1^4*T2^6 - 383*T1^5*T2^6 - 
     346*T1^6*T2^6 - 269*T1^7*T2^6 - 906*T1^8*T2^6 + 169*T1^9*T2^6 - 
     334*T1^10*T2^6 + 279*T1^11*T2^6 - 53*T1^12*T2^6 + 277*T1^13*T2^6 - 
     89*T1^14*T2^6 - 125*T1^15*T2^6 + 54*T1^16*T2^6 + 80*T2^7 + 5*T1*T2^7 - 
     360*T1^2*T2^7 + 337*T1^3*T2^7 - 389*T1^4*T2^7 + 936*T1^5*T2^7 - 
     269*T1^6*T2^7 + 1009*T1^7*T2^7 + 264*T1^8*T2^7 + 656*T1^9*T2^7 - 
     227*T1^10*T2^7 + 73*T1^11*T2^7 - 485*T1^12*T2^7 + 43*T1^13*T2^7 - 
     283*T1^14*T2^7 + 291*T1^15*T2^7 + 30*T1^16*T2^7 - 60*T1^17*T2^7 - 
     48*T2^8 - 60*T1*T2^8 + 272*T1^2*T2^8 - 8*T1^3*T2^8 - 135*T1^4*T2^8 - 
     19*T1^5*T2^8 - 906*T1^6*T2^8 + 264*T1^7*T2^8 - 1249*T1^8*T2^8 + 
     9*T1^9*T2^8 - 193*T1^10*T2^8 + 240*T1^11*T2^8 + 582*T1^12*T2^8 + 
     237*T1^13*T2^8 + 209*T1^14*T2^8 - 48*T1^15*T2^8 - 280*T1^16*T2^8 + 
     60*T1^17*T2^8 + 48*T1^18*T2^8 + 20*T2^9 + 80*T1*T2^9 - 179*T1^2*T2^9 - 
     81*T1^3*T2^9 + 14*T1^4*T2^9 + 302*T1^5*T2^9 + 169*T1^6*T2^9 + 
     656*T1^7*T2^9 + 9*T1^8*T2^9 + 650*T1^9*T2^9 - 112*T1^10*T2^9 - 
     492*T1^11*T2^9 - 568*T1^12*T2^9 - 557*T1^13*T2^9 - 475*T1^14*T2^9 + 
     116*T1^15*T2^9 + 159*T1^16*T2^9 + 181*T1^17*T2^9 - 115*T1^18*T2^9 - 
     25*T1^19*T2^9 - 4*T2^10 - 55*T1*T2^10 + 39*T1^2*T2^10 + 212*T1^3*T2^10 - 
     89*T1^4*T2^10 - 92*T1^5*T2^10 - 334*T1^6*T2^10 - 227*T1^7*T2^10 - 
     193*T1^8*T2^10 - 112*T1^9*T2^10 + 336*T1^10*T2^10 - 44*T1^11*T2^10 + 
     1861*T1^12*T2^10 - 353*T1^13*T2^10 + 1502*T1^14*T2^10 - 
     352*T1^15*T2^10 + 7*T1^16*T2^10 - 308*T1^17*T2^10 + 23*T1^18*T2^10 + 
     95*T1^19*T2^10 + 6*T1^20*T2^10 + 15*T1*T2^11 + 45*T1^2*T2^11 - 
     179*T1^3*T2^11 - 41*T1^4*T2^11 + 116*T1^5*T2^11 + 279*T1^6*T2^11 + 
     73*T1^7*T2^11 + 240*T1^8*T2^11 - 492*T1^9*T2^11 - 44*T1^10*T2^11 - 
     806*T1^11*T2^11 - 993*T1^12*T2^11 - 984*T1^13*T2^11 - 653*T1^14*T2^11 - 
     498*T1^15*T2^11 + 218*T1^16*T2^11 + 199*T1^17*T2^11 + 181*T1^18*T2^11 - 
     150*T1^19*T2^11 - 30*T1^20*T2^11 - 24*T1^2*T2^12 + 20*T1^3*T2^12 + 
     208*T1^4*T2^12 - 168*T1^5*T2^12 - 53*T1^6*T2^12 - 485*T1^7*T2^12 + 
     582*T1^8*T2^12 - 568*T1^9*T2^12 + 1861*T1^10*T2^12 - 993*T1^11*T2^12 + 
     2917*T1^12*T2^12 - 592*T1^13*T2^12 + 2070*T1^14*T2^12 - 
     229*T1^15*T2^12 + 291*T1^16*T2^12 - 208*T1^17*T2^12 - 344*T1^18*T2^12 + 
     140*T1^19*T2^12 + 72*T1^20*T2^12 + 20*T1^3*T2^13 - 100*T1^4*T2^13 - 
     99*T1^5*T2^13 + 277*T1^6*T2^13 + 43*T1^7*T2^13 + 237*T1^8*T2^13 - 
     557*T1^9*T2^13 - 353*T1^10*T2^13 - 984*T1^11*T2^13 - 592*T1^12*T2^13 - 
     1589*T1^13*T2^13 - 215*T1^14*T2^13 - 1184*T1^15*T2^13 + 
     475*T1^16*T2^13 - 343*T1^17*T2^13 + 552*T1^18*T2^13 - 75*T1^19*T2^13 - 
     120*T1^20*T2^13 + 145*T1^5*T2^14 - 89*T1^6*T2^14 - 283*T1^7*T2^14 + 
     209*T1^8*T2^14 - 475*T1^9*T2^14 + 1502*T1^10*T2^14 - 653*T1^11*T2^14 + 
     2070*T1^12*T2^14 - 215*T1^13*T2^14 + 1514*T1^14*T2^14 + 
     187*T1^15*T2^14 + 111*T1^16*T2^14 + 197*T1^17*T2^14 - 397*T1^18*T2^14 - 
     85*T1^19*T2^14 + 162*T1^20*T2^14 - 29*T1^5*T2^15 - 125*T1^6*T2^15 + 
     291*T1^7*T2^15 - 48*T1^8*T2^15 + 116*T1^9*T2^15 - 352*T1^10*T2^15 - 
     498*T1^11*T2^15 - 229*T1^12*T2^15 - 1184*T1^13*T2^15 + 187*T1^14*T2^15 - 
     1282*T1^15*T2^15 + 626*T1^16*T2^15 - 568*T1^17*T2^15 + 336*T1^18*T2^15 + 
     195*T1^19*T2^15 - 174*T1^20*T2^15 + 54*T1^6*T2^16 + 30*T1^7*T2^16 - 
     280*T1^8*T2^16 + 159*T1^9*T2^16 + 7*T1^10*T2^16 + 218*T1^11*T2^16 + 
     291*T1^12*T2^16 + 475*T1^13*T2^16 + 111*T1^14*T2^16 + 626*T1^15*T2^16 - 
     185*T1^16*T2^16 + 199*T1^17*T2^16 + 16*T1^18*T2^16 - 310*T1^19*T2^16 + 
     162*T1^20*T2^16 - 60*T1^7*T2^17 + 60*T1^8*T2^17 + 181*T1^9*T2^17 - 
     308*T1^10*T2^17 + 199*T1^11*T2^17 - 208*T1^12*T2^17 - 343*T1^13*T2^17 + 
     197*T1^14*T2^17 - 568*T1^15*T2^17 + 199*T1^16*T2^17 - 68*T1^17*T2^17 - 
     179*T1^18*T2^17 + 300*T1^19*T2^17 - 120*T1^20*T2^17 + 48*T1^8*T2^18 - 
     115*T1^9*T2^18 + 23*T1^10*T2^18 + 181*T1^11*T2^18 - 344*T1^12*T2^18 + 
     552*T1^13*T2^18 - 397*T1^14*T2^18 + 336*T1^15*T2^18 + 16*T1^16*T2^18 - 
     179*T1^17*T2^18 + 287*T1^18*T2^18 - 235*T1^19*T2^18 + 72*T1^20*T2^18 - 
     25*T1^9*T2^19 + 95*T1^10*T2^19 - 150*T1^11*T2^19 + 140*T1^12*T2^19 - 
     75*T1^13*T2^19 - 85*T1^14*T2^19 + 195*T1^15*T2^19 - 310*T1^16*T2^19 + 
     300*T1^17*T2^19 - 235*T1^18*T2^19 + 125*T1^19*T2^19 - 30*T1^20*T2^19 + 
     6*T1^10*T2^20 - 30*T1^11*T2^20 + 72*T1^12*T2^20 - 120*T1^13*T2^20 + 
     162*T1^14*T2^20 - 174*T1^15*T2^20 + 162*T1^16*T2^20 - 120*T1^17*T2^20 + 
     72*T1^18*T2^20 - 30*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 865] -> 
  {(2 - 11*T + 28*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 28*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-31 + 171*T1 - 436*T1^2 + 717*T1^3 - 857*T1^4 + 717*T1^5 - 
     436*T1^6 + 171*T1^7 - 31*T1^8 + 171*T2 - 816*T1*T2 + 1703*T1^2*T2 - 
     2165*T1^3*T2 + 1784*T1^4*T2 - 438*T1^5*T2 - 537*T1^6*T2 + 845*T1^7*T2 - 
     530*T1^8*T2 + 127*T1^9*T2 - 436*T2^2 + 1703*T1*T2^2 - 2466*T1^2*T2^2 + 
     1357*T1^3*T2^2 + 1245*T1^4*T2^2 - 4462*T1^5*T2^2 + 4269*T1^6*T2^2 - 
     2563*T1^7*T2^2 + 446*T1^8*T2^2 + 471*T1^9*T2^2 - 212*T1^10*T2^2 + 
     717*T2^3 - 2165*T1*T2^3 + 1357*T1^2*T2^3 + 2368*T1^3*T2^3 - 
     6095*T1^4*T2^3 + 8093*T1^5*T2^3 - 2591*T1^6*T2^3 - 1519*T1^7*T2^3 + 
     3604*T1^8*T2^3 - 2367*T1^9*T2^3 + 255*T1^10*T2^3 + 165*T1^11*T2^3 - 
     857*T2^4 + 1784*T1*T2^4 + 1245*T1^2*T2^4 - 6095*T1^3*T2^4 + 
     7408*T1^4*T2^4 - 5062*T1^5*T2^4 - 5548*T1^6*T2^4 + 6862*T1^7*T2^4 - 
     4692*T1^8*T2^4 - 23*T1^9*T2^4 + 2433*T1^10*T2^4 - 1032*T1^11*T2^4 + 
     23*T1^12*T2^4 + 717*T2^5 - 438*T1*T2^5 - 4462*T1^2*T2^5 + 
     8093*T1^3*T2^5 - 5062*T1^4*T2^5 - 527*T1^5*T2^5 + 10356*T1^6*T2^5 - 
     3362*T1^7*T2^5 - 2925*T1^8*T2^5 + 6526*T1^9*T2^5 - 4823*T1^10*T2^5 + 
     47*T1^11*T2^5 + 992*T1^12*T2^5 - 203*T1^13*T2^5 - 436*T2^6 - 
     537*T1*T2^6 + 4269*T1^2*T2^6 - 2591*T1^3*T2^6 - 5548*T1^4*T2^6 + 
     10356*T1^5*T2^6 - 12205*T1^6*T2^6 - 3359*T1^7*T2^6 + 8851*T1^8*T2^6 - 
     5628*T1^9*T2^6 - 92*T1^10*T2^6 + 4745*T1^11*T2^6 - 2427*T1^12*T2^6 - 
     185*T1^13*T2^6 + 236*T1^14*T2^6 + 171*T2^7 + 845*T1*T2^7 - 
     2563*T1^2*T2^7 - 1519*T1^3*T2^7 + 6862*T1^4*T2^7 - 3362*T1^5*T2^7 - 
     3359*T1^6*T2^7 + 16264*T1^7*T2^7 - 11388*T1^8*T2^7 - 1555*T1^9*T2^7 + 
     5824*T1^10*T2^7 - 6070*T1^11*T2^7 - 111*T1^12*T2^7 + 2337*T1^13*T2^7 - 
     541*T1^14*T2^7 - 137*T1^15*T2^7 - 31*T2^8 - 530*T1*T2^8 + 
     446*T1^2*T2^8 + 3604*T1^3*T2^8 - 4692*T1^4*T2^8 - 2925*T1^5*T2^8 + 
     8851*T1^6*T2^8 - 11388*T1^7*T2^8 + 420*T1^8*T2^8 + 11640*T1^9*T2^8 - 
     5561*T1^10*T2^8 + 1309*T1^11*T2^8 + 4928*T1^12*T2^8 - 3572*T1^13*T2^8 - 
     372*T1^14*T2^8 + 570*T1^15*T2^8 + 33*T1^16*T2^8 + 127*T1*T2^9 + 
     471*T1^2*T2^9 - 2367*T1^3*T2^9 - 23*T1^4*T2^9 + 6526*T1^5*T2^9 - 
     5628*T1^6*T2^9 - 1555*T1^7*T2^9 + 11640*T1^8*T2^9 - 16012*T1^9*T2^9 + 
     249*T1^10*T2^9 + 3558*T1^11*T2^9 - 6406*T1^12*T2^9 + 1385*T1^13*T2^9 + 
     2533*T1^14*T2^9 - 915*T1^15*T2^9 - 181*T1^16*T2^9 - 212*T1^2*T2^10 + 
     255*T1^3*T2^10 + 2433*T1^4*T2^10 - 4823*T1^5*T2^10 - 92*T1^6*T2^10 + 
     5824*T1^7*T2^10 - 5561*T1^8*T2^10 + 249*T1^9*T2^10 + 15495*T1^10*T2^10 - 
     10160*T1^11*T2^10 + 5364*T1^12*T2^10 + 2513*T1^13*T2^10 - 
     4263*T1^14*T2^10 + 607*T1^15*T2^10 + 460*T1^16*T2^10 + 165*T1^3*T2^11 - 
     1032*T1^4*T2^11 + 47*T1^5*T2^11 + 4745*T1^6*T2^11 - 6070*T1^7*T2^11 + 
     1309*T1^8*T2^11 + 3558*T1^9*T2^11 - 10160*T1^10*T2^11 - 
     1089*T1^11*T2^11 + 5518*T1^12*T2^11 - 8171*T1^13*T2^11 + 
     4556*T1^14*T2^11 + 398*T1^15*T2^11 - 755*T1^16*T2^11 + 23*T1^4*T2^12 + 
     992*T1^5*T2^12 - 2427*T1^6*T2^12 - 111*T1^7*T2^12 + 4928*T1^8*T2^12 - 
     6406*T1^9*T2^12 + 5364*T1^10*T2^12 + 5518*T1^11*T2^12 - 
     7172*T1^12*T2^12 + 5961*T1^13*T2^12 - 1239*T1^14*T2^12 - 
     1824*T1^15*T2^12 + 903*T1^16*T2^12 - 203*T1^5*T2^13 - 185*T1^6*T2^13 + 
     2337*T1^7*T2^13 - 3572*T1^8*T2^13 + 1385*T1^9*T2^13 + 2513*T1^10*T2^13 - 
     8171*T1^11*T2^13 + 5961*T1^12*T2^13 - 2336*T1^13*T2^13 - 
     1387*T1^14*T2^13 + 2235*T1^15*T2^13 - 755*T1^16*T2^13 + 236*T1^6*T2^14 - 
     541*T1^7*T2^14 - 372*T1^8*T2^14 + 2533*T1^9*T2^14 - 4263*T1^10*T2^14 + 
     4556*T1^11*T2^14 - 1239*T1^12*T2^14 - 1387*T1^13*T2^14 + 
     2540*T1^14*T2^14 - 1773*T1^15*T2^14 + 460*T1^16*T2^14 - 137*T1^7*T2^15 + 
     570*T1^8*T2^15 - 915*T1^9*T2^15 + 607*T1^10*T2^15 + 398*T1^11*T2^15 - 
     1824*T1^12*T2^15 + 2235*T1^13*T2^15 - 1773*T1^14*T2^15 + 
     856*T1^15*T2^15 - 181*T1^16*T2^15 + 33*T1^8*T2^16 - 181*T1^9*T2^16 + 
     460*T1^10*T2^16 - 755*T1^11*T2^16 + 903*T1^12*T2^16 - 755*T1^13*T2^16 + 
     460*T1^14*T2^16 - 181*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 866] -> 
  {-((2 - 12*T + 34*T^2 - 62*T^3 + 75*T^4 - 62*T^5 + 34*T^6 - 12*T^7 + 2*T^8)/
     T^4), -((-23 + 139*T1 - 397*T1^2 + 727*T1^3 - 881*T1^4 + 727*T1^5 - 
      397*T1^6 + 139*T1^7 - 23*T1^8 + 139*T2 - 748*T1*T2 + 1843*T1^2*T2 - 
      2805*T1^3*T2 + 2416*T1^4*T2 - 872*T1^5*T2 - 501*T1^6*T2 + 739*T1^7*T2 - 
      412*T1^8*T2 + 91*T1^9*T2 - 397*T2^2 + 1843*T1*T2^2 - 3626*T1^2*T2^2 + 
      3759*T1^3*T2^2 + 68*T1^4*T2^2 - 4546*T1^5*T2^2 + 5644*T1^6*T2^2 - 
      3041*T1^7*T2^2 + 726*T1^8*T2^2 + 211*T1^9*T2^2 - 125*T1^10*T2^2 + 
      727*T2^3 - 2805*T1*T2^3 + 3759*T1^2*T2^3 - 408*T1^3*T2^3 - 
      8601*T1^4*T2^3 + 12774*T1^5*T2^3 - 7410*T1^6*T2^3 - 1797*T1^7*T2^3 + 
      4632*T1^8*T2^3 - 3177*T1^9*T2^3 + 843*T1^10*T2^3 - 17*T1^11*T2^3 - 
      881*T2^4 + 2416*T1*T2^4 + 68*T1^2*T2^4 - 8601*T1^3*T2^4 + 
      19387*T1^4*T2^4 - 13957*T1^5*T2^4 - 4459*T1^6*T2^4 + 17051*T1^7*T2^4 - 
      11213*T1^8*T2^4 + 1815*T1^9*T2^4 + 2612*T1^10*T2^4 - 1808*T1^11*T2^4 + 
      319*T1^12*T2^4 + 727*T2^5 - 872*T1*T2^5 - 4546*T1^2*T2^5 + 
      12774*T1^3*T2^5 - 13957*T1^4*T2^5 - 8210*T1^5*T2^5 + 31401*T1^6*T2^5 - 
      26715*T1^7*T2^5 - 1062*T1^8*T2^5 + 15375*T1^9*T2^5 - 11074*T1^10*T2^5 + 
      2558*T1^11*T2^5 + 1168*T1^12*T2^5 - 513*T1^13*T2^5 - 397*T2^6 - 
      501*T1*T2^6 + 5644*T1^2*T2^6 - 7410*T1^3*T2^6 - 4459*T1^4*T2^6 + 
      31401*T1^5*T2^6 - 36563*T1^6*T2^6 + 39*T1^7*T2^6 + 36793*T1^8*T2^6 - 
      31647*T1^9*T2^6 + 4829*T1^10*T2^6 + 7278*T1^11*T2^6 - 5996*T1^12*T2^6 + 
      555*T1^13*T2^6 + 419*T1^14*T2^6 + 139*T2^7 + 739*T1*T2^7 - 
      3041*T1^2*T2^7 - 1797*T1^3*T2^7 + 17051*T1^4*T2^7 - 26715*T1^5*T2^7 + 
      39*T1^6*T2^7 + 55458*T1^7*T2^7 - 65976*T1^8*T2^7 + 21099*T1^9*T2^7 + 
      21537*T1^10*T2^7 - 18985*T1^11*T2^7 + 5847*T1^12*T2^7 + 
      3079*T1^13*T2^7 - 1325*T1^14*T2^7 - 197*T1^15*T2^7 - 23*T2^8 - 
      412*T1*T2^8 + 726*T1^2*T2^8 + 4632*T1^3*T2^8 - 11213*T1^4*T2^8 - 
      1062*T1^5*T2^8 + 36793*T1^6*T2^8 - 65976*T1^7*T2^8 + 20976*T1^8*T2^8 + 
      45296*T1^9*T2^8 - 62535*T1^10*T2^8 + 21082*T1^11*T2^8 + 
      2579*T1^12*T2^8 - 8088*T1^13*T2^8 + 694*T1^14*T2^8 + 932*T1^15*T2^8 + 
      41*T1^16*T2^8 + 91*T1*T2^9 + 211*T1^2*T2^9 - 3177*T1^3*T2^9 + 
      1815*T1^4*T2^9 + 15375*T1^5*T2^9 - 31647*T1^6*T2^9 + 21099*T1^7*T2^9 + 
      45296*T1^8*T2^9 - 76138*T1^9*T2^9 + 42159*T1^10*T2^9 + 
      16605*T1^11*T2^9 - 20661*T1^12*T2^9 + 9459*T1^13*T2^9 + 
      2943*T1^14*T2^9 - 1853*T1^15*T2^9 - 245*T1^16*T2^9 - 125*T1^2*T2^10 + 
      843*T1^3*T2^10 + 2612*T1^4*T2^10 - 11074*T1^5*T2^10 + 4829*T1^6*T2^10 + 
      21537*T1^7*T2^10 - 62535*T1^8*T2^10 + 42159*T1^9*T2^10 + 
      10821*T1^10*T2^10 - 41511*T1^11*T2^10 + 14117*T1^12*T2^10 + 
      3614*T1^13*T2^10 - 9028*T1^14*T2^10 + 1899*T1^15*T2^10 + 
      691*T1^16*T2^10 - 17*T1^3*T2^11 - 1808*T1^4*T2^11 + 2558*T1^5*T2^11 + 
      7278*T1^6*T2^11 - 18985*T1^7*T2^11 + 21082*T1^8*T2^11 + 
      16605*T1^9*T2^11 - 41511*T1^10*T2^11 + 28230*T1^11*T2^11 + 
      10347*T1^12*T2^11 - 16570*T1^13*T2^11 + 9662*T1^14*T2^11 + 
      232*T1^15*T2^11 - 1257*T1^16*T2^11 + 319*T1^4*T2^12 + 1168*T1^5*T2^12 - 
      5996*T1^6*T2^12 + 5847*T1^7*T2^12 + 2579*T1^8*T2^12 - 
      20661*T1^9*T2^12 + 14117*T1^10*T2^12 + 10347*T1^11*T2^12 - 
      28021*T1^12*T2^12 + 16263*T1^13*T2^12 - 3452*T1^14*T2^12 - 
      3056*T1^15*T2^12 + 1519*T1^16*T2^12 - 513*T1^5*T2^13 + 555*T1^6*T2^13 + 
      3079*T1^7*T2^13 - 8088*T1^8*T2^13 + 9459*T1^9*T2^13 + 
      3614*T1^10*T2^13 - 16570*T1^11*T2^13 + 16263*T1^12*T2^13 - 
      3048*T1^13*T2^13 - 3857*T1^14*T2^13 + 4203*T1^15*T2^13 - 
      1257*T1^16*T2^13 + 419*T1^6*T2^14 - 1325*T1^7*T2^14 + 694*T1^8*T2^14 + 
      2943*T1^9*T2^14 - 9028*T1^10*T2^14 + 9662*T1^11*T2^14 - 
      3452*T1^12*T2^14 - 3857*T1^13*T2^14 + 5046*T1^14*T2^14 - 
      2957*T1^15*T2^14 + 691*T1^16*T2^14 - 197*T1^7*T2^15 + 932*T1^8*T2^15 - 
      1853*T1^9*T2^15 + 1899*T1^10*T2^15 + 232*T1^11*T2^15 - 
      3056*T1^12*T2^15 + 4203*T1^13*T2^15 - 2957*T1^14*T2^15 + 
      1268*T1^15*T2^15 - 245*T1^16*T2^15 + 41*T1^8*T2^16 - 245*T1^9*T2^16 + 
      691*T1^10*T2^16 - 1257*T1^11*T2^16 + 1519*T1^12*T2^16 - 
      1257*T1^13*T2^16 + 691*T1^14*T2^16 - 245*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 867] -> 
  {(1 - 9*T + 34*T^2 - 69*T^3 + 87*T^4 - 69*T^5 + 34*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 136*T1^2 + 276*T1^3 - 348*T1^4 + 276*T1^5 - 136*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 981*T1^2*T2 - 1566*T1^3*T2 + 
     1269*T1^4*T2 - 135*T1^5*T2 - 639*T1^6*T2 + 594*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 136*T2^2 + 981*T1*T2^2 - 2499*T1^2*T2^2 + 1698*T1^3*T2^2 + 
     2710*T1^4*T2^2 - 7181*T1^5*T2^2 + 6314*T1^6*T2^2 - 2382*T1^7*T2^2 - 
     255*T1^8*T2^2 + 369*T1^9*T2^2 - 68*T1^10*T2^2 + 276*T2^3 - 
     1566*T1*T2^3 + 1698*T1^2*T2^3 + 6901*T1^3*T2^3 - 19433*T1^4*T2^3 + 
     21102*T1^5*T2^3 - 5313*T1^6*T2^3 - 7787*T1^7*T2^3 + 8233*T1^8*T2^3 - 
     2280*T1^9*T2^3 - 9*T1^10*T2^3 + 69*T1^11*T2^3 - 348*T2^4 + 
     1269*T1*T2^4 + 2710*T1^2*T2^4 - 19433*T1^3*T2^4 + 25363*T1^4*T2^4 + 
     1086*T1^5*T2^4 - 42921*T1^6*T2^4 + 46032*T1^7*T2^4 - 19229*T1^8*T2^4 - 
     2459*T1^9*T2^4 + 3364*T1^10*T2^4 - 621*T1^11*T2^4 + 276*T2^5 - 
     135*T1*T2^5 - 7181*T1^2*T2^5 + 21102*T1^3*T2^5 + 1086*T1^4*T2^5 - 
     60854*T1^5*T2^5 + 95589*T1^6*T2^5 - 43275*T1^7*T2^5 - 20570*T1^8*T2^5 + 
     34623*T1^9*T2^5 - 11499*T1^10*T2^5 - 116*T1^11*T2^5 + 621*T1^12*T2^5 - 
     69*T1^13*T2^5 - 136*T2^6 - 639*T1*T2^6 + 6314*T1^2*T2^6 - 
     5313*T1^3*T2^6 - 42921*T1^4*T2^6 + 95589*T1^5*T2^6 - 64946*T1^6*T2^6 - 
     53532*T1^7*T2^6 + 106294*T1^8*T2^6 - 59823*T1^9*T2^6 - 1341*T1^10*T2^6 + 
     11823*T1^11*T2^6 - 3190*T1^12*T2^6 + 9*T1^13*T2^6 + 68*T1^14*T2^6 + 
     36*T2^7 + 594*T1*T2^7 - 2382*T1^2*T2^7 - 7787*T1^3*T2^7 + 
     46032*T1^4*T2^7 - 43275*T1^5*T2^7 - 53532*T1^6*T2^7 + 158958*T1^7*T2^7 - 
     117756*T1^8*T2^7 - 5913*T1^9*T2^7 + 62493*T1^10*T2^7 - 
     33141*T1^11*T2^7 + 1879*T1^12*T2^7 + 2208*T1^13*T2^7 - 369*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 255*T1^2*T2^8 + 8233*T1^3*T2^8 - 
     19229*T1^4*T2^8 - 20570*T1^5*T2^8 + 106294*T1^6*T2^8 - 
     117756*T1^7*T2^8 - 8832*T1^8*T2^8 + 125436*T1^9*T2^8 - 
     100624*T1^10*T2^8 + 16330*T1^11*T2^8 + 19451*T1^12*T2^8 - 
     7889*T1^13*T2^8 + 267*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 369*T1^2*T2^9 - 2280*T1^3*T2^9 - 2459*T1^4*T2^9 + 
     34623*T1^5*T2^9 - 59823*T1^6*T2^9 - 5913*T1^7*T2^9 + 125436*T1^8*T2^9 - 
     151278*T1^9*T2^9 + 41706*T1^10*T2^9 + 45945*T1^11*T2^9 - 
     44550*T1^12*T2^9 + 7207*T1^13*T2^9 + 2310*T1^14*T2^9 - 594*T1^15*T2^9 - 
     36*T1^16*T2^9 - 68*T1^2*T2^10 - 9*T1^3*T2^10 + 3364*T1^4*T2^10 - 
     11499*T1^5*T2^10 - 1341*T1^6*T2^10 + 62493*T1^7*T2^10 - 
     100624*T1^8*T2^10 + 41706*T1^9*T2^10 + 70616*T1^10*T2^10 - 
     92919*T1^11*T2^10 + 40239*T1^12*T2^10 + 5637*T1^13*T2^10 - 
     6140*T1^14*T2^10 + 639*T1^15*T2^10 + 136*T1^16*T2^10 + 69*T1^3*T2^11 - 
     621*T1^4*T2^11 - 116*T1^5*T2^11 + 11823*T1^6*T2^11 - 33141*T1^7*T2^11 + 
     16330*T1^8*T2^11 + 45945*T1^9*T2^11 - 92919*T1^10*T2^11 + 
     56614*T1^11*T2^11 + 396*T1^12*T2^11 - 20778*T1^13*T2^11 + 
     6949*T1^14*T2^11 + 135*T1^15*T2^11 - 276*T1^16*T2^11 + 621*T1^5*T2^12 - 
     3190*T1^6*T2^12 + 1879*T1^7*T2^12 + 19451*T1^8*T2^12 - 
     44550*T1^9*T2^12 + 40239*T1^10*T2^12 + 396*T1^11*T2^12 - 
     25141*T1^12*T2^12 + 18853*T1^13*T2^12 - 2536*T1^14*T2^12 - 
     1269*T1^15*T2^12 + 348*T1^16*T2^12 - 69*T1^5*T2^13 + 9*T1^6*T2^13 + 
     2208*T1^7*T2^13 - 7889*T1^8*T2^13 + 7207*T1^9*T2^13 + 5637*T1^10*T2^13 - 
     20778*T1^11*T2^13 + 18853*T1^12*T2^13 - 6557*T1^13*T2^13 - 
     1770*T1^14*T2^13 + 1566*T1^15*T2^13 - 276*T1^16*T2^13 + 68*T1^6*T2^14 - 
     369*T1^7*T2^14 + 267*T1^8*T2^14 + 2310*T1^9*T2^14 - 6140*T1^10*T2^14 + 
     6949*T1^11*T2^14 - 2536*T1^12*T2^14 - 1770*T1^13*T2^14 + 
     2511*T1^14*T2^14 - 981*T1^15*T2^14 + 136*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 594*T1^9*T2^15 + 639*T1^10*T2^15 + 135*T1^11*T2^15 - 
     1269*T1^12*T2^15 + 1566*T1^13*T2^15 - 981*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     136*T1^10*T2^16 - 276*T1^11*T2^16 + 348*T1^12*T2^16 - 276*T1^13*T2^16 + 
     136*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 868] -> 
  {((1 - 7*T + 13*T^2 - 7*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (2*(1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4)*(1 - 3*T1 + 5*T1^2 - 3*T1^3 + 
      T1^4)*(1 + T1*T2)*(1 - 7*T2 + 13*T2^2 - 7*T2^3 + T2^4)*
     (1 - 3*T2 + 5*T2^2 - 3*T2^3 + T2^4)*(2 - 15*T1*T2 + 41*T1^2*T2^2 - 
      57*T1^3*T2^3 + 41*T1^4*T2^4 - 15*T1^5*T2^5 + 2*T1^6*T2^6))/
    (T1^9*T2^8)}, Knot[12, Alternating, 869] -> 
  {-((1 - 5*T + 12*T^2 - 21*T^3 + 27*T^4 - 29*T^5 + 27*T^6 - 21*T^7 + 
      12*T^8 - 5*T^9 + T^10)/T^5), 
   -((-3 + 15*T1 - 36*T1^2 + 63*T1^3 - 81*T1^4 + 87*T1^5 - 81*T1^6 + 
      63*T1^7 - 36*T1^8 + 15*T1^9 - 3*T1^10 + 15*T2 - 65*T1*T2 + 
      130*T1^2*T2 - 195*T1^3*T2 + 195*T1^4*T2 - 165*T1^5*T2 + 115*T1^6*T2 - 
      45*T1^7*T2 - 30*T1^8*T2 + 45*T1^9*T2 - 35*T1^10*T2 + 10*T1^11*T2 - 
      36*T2^2 + 130*T1*T2^2 - 196*T1^2*T2^2 + 226*T1^3*T2^2 - 88*T1^4*T2^2 - 
      20*T1^5*T2^2 + 116*T1^6*T2^2 - 212*T1^7*T2^2 + 272*T1^8*T2^2 - 
      158*T1^9*T2^2 + 68*T1^10*T2^2 + 10*T1^11*T2^2 - 12*T1^12*T2^2 + 
      63*T2^3 - 195*T1*T2^3 + 226*T1^2*T2^3 - 223*T1^3*T2^3 - 38*T1^4*T2^3 + 
      92*T1^5*T2^3 - 139*T1^6*T2^3 + 197*T1^7*T2^3 - 205*T1^8*T2^3 - 
      74*T1^9*T2^3 + 143*T1^10*T2^3 - 170*T1^11*T2^3 + 60*T1^12*T2^3 - 
      81*T2^4 + 195*T1*T2^4 - 88*T1^2*T2^4 - 38*T1^3*T2^4 + 506*T1^4*T2^4 - 
      496*T1^5*T2^4 + 528*T1^6*T2^4 - 558*T1^7*T2^4 + 468*T1^8*T2^4 + 
      62*T1^9*T2^4 - 46*T1^10*T2^4 + 4*T1^11*T2^4 + 158*T1^12*T2^4 - 
      135*T1^13*T2^4 + 27*T1^14*T2^4 + 87*T2^5 - 165*T1*T2^5 - 20*T1^2*T2^5 + 
      92*T1^3*T2^5 - 496*T1^4*T2^5 + 194*T1^5*T2^5 - 180*T1^6*T2^5 + 
      301*T1^7*T2^5 - 242*T1^8*T2^5 - 311*T1^9*T2^5 - 100*T1^10*T2^5 + 
      215*T1^11*T2^5 - 211*T1^12*T2^5 + 13*T1^13*T2^5 + 155*T1^14*T2^5 - 
      58*T1^15*T2^5 - 81*T2^6 + 115*T1*T2^6 + 116*T1^2*T2^6 - 139*T1^3*T2^6 + 
      528*T1^4*T2^6 - 180*T1^5*T2^6 + 340*T1^6*T2^6 - 645*T1^7*T2^6 + 
      400*T1^8*T2^6 + 279*T1^9*T2^6 + 352*T1^10*T2^6 - 166*T1^11*T2^6 - 
      150*T1^12*T2^6 + 179*T1^13*T2^6 - 192*T1^14*T2^6 - 115*T1^15*T2^6 + 
      81*T1^16*T2^6 + 63*T2^7 - 45*T1*T2^7 - 212*T1^2*T2^7 + 197*T1^3*T2^7 - 
      558*T1^4*T2^7 + 301*T1^5*T2^7 - 645*T1^6*T2^7 + 1231*T1^7*T2^7 - 
      858*T1^8*T2^7 + 558*T1^9*T2^7 - 1547*T1^10*T2^7 + 939*T1^11*T2^7 - 
      332*T1^12*T2^7 + 522*T1^13*T2^7 - 163*T1^14*T2^7 + 355*T1^15*T2^7 + 
      15*T1^16*T2^7 - 84*T1^17*T2^7 - 36*T2^8 - 30*T1*T2^8 + 272*T1^2*T2^8 - 
      205*T1^3*T2^8 + 468*T1^4*T2^8 - 242*T1^5*T2^8 + 400*T1^6*T2^8 - 
      858*T1^7*T2^8 - 162*T1^8*T2^8 + 200*T1^9*T2^8 + 510*T1^10*T2^8 + 
      672*T1^11*T2^8 - 1070*T1^12*T2^8 + 166*T1^13*T2^8 - 708*T1^14*T2^8 + 
      77*T1^15*T2^8 - 430*T1^16*T2^8 + 120*T1^17*T2^8 + 60*T1^18*T2^8 + 
      15*T2^9 + 45*T1*T2^9 - 158*T1^2*T2^9 - 74*T1^3*T2^9 + 62*T1^4*T2^9 - 
      311*T1^5*T2^9 + 279*T1^6*T2^9 + 558*T1^7*T2^9 + 200*T1^8*T2^9 + 
      1185*T1^9*T2^9 - 1905*T1^10*T2^9 + 737*T1^11*T2^9 - 630*T1^12*T2^9 + 
      1335*T1^13*T2^9 + 400*T1^14*T2^9 + 269*T1^15*T2^9 + 430*T1^16*T2^9 + 
      142*T1^17*T2^9 - 150*T1^18*T2^9 - 30*T1^19*T2^9 - 3*T2^10 - 
      35*T1*T2^10 + 68*T1^2*T2^10 + 143*T1^3*T2^10 - 46*T1^4*T2^10 - 
      100*T1^5*T2^10 + 352*T1^6*T2^10 - 1547*T1^7*T2^10 + 510*T1^8*T2^10 - 
      1905*T1^9*T2^10 + 708*T1^10*T2^10 + 1217*T1^11*T2^10 - 
      1572*T1^12*T2^10 + 1123*T1^13*T2^10 - 2856*T1^14*T2^10 + 
      744*T1^15*T2^10 - 970*T1^16*T2^10 - 223*T1^17*T2^10 + 52*T1^18*T2^10 + 
      115*T1^19*T2^10 + 7*T1^20*T2^10 + 10*T1*T2^11 + 10*T1^2*T2^11 - 
      170*T1^3*T2^11 + 4*T1^4*T2^11 + 215*T1^5*T2^11 - 166*T1^6*T2^11 + 
      939*T1^7*T2^11 + 672*T1^8*T2^11 + 737*T1^9*T2^11 + 1217*T1^10*T2^11 - 
      1873*T1^11*T2^11 + 1274*T1^12*T2^11 - 516*T1^13*T2^11 + 
      1995*T1^14*T2^11 + 545*T1^15*T2^11 + 422*T1^16*T2^11 + 
      508*T1^17*T2^11 + 130*T1^18*T2^11 - 185*T1^19*T2^11 - 35*T1^20*T2^11 - 
      12*T1^2*T2^12 + 60*T1^3*T2^12 + 158*T1^4*T2^12 - 211*T1^5*T2^12 - 
      150*T1^6*T2^12 - 332*T1^7*T2^12 - 1070*T1^8*T2^12 - 630*T1^9*T2^12 - 
      1572*T1^10*T2^12 + 1274*T1^11*T2^12 - 900*T1^12*T2^12 + 
      900*T1^13*T2^12 - 2540*T1^14*T2^12 + 76*T1^15*T2^12 - 
      1326*T1^16*T2^12 + 71*T1^17*T2^12 - 544*T1^18*T2^12 + 210*T1^19*T2^12 + 
      84*T1^20*T2^12 - 135*T1^4*T2^13 + 13*T1^5*T2^13 + 179*T1^6*T2^13 + 
      522*T1^7*T2^13 + 166*T1^8*T2^13 + 1335*T1^9*T2^13 + 1123*T1^10*T2^13 - 
      516*T1^11*T2^13 + 900*T1^12*T2^13 - 1655*T1^13*T2^13 + 
      2919*T1^14*T2^13 - 467*T1^15*T2^13 + 1602*T1^16*T2^13 - 
      181*T1^17*T2^13 + 580*T1^18*T2^13 - 75*T1^19*T2^13 - 147*T1^20*T2^13 + 
      27*T1^4*T2^14 + 155*T1^5*T2^14 - 192*T1^6*T2^14 - 163*T1^7*T2^14 - 
      708*T1^8*T2^14 + 400*T1^9*T2^14 - 2856*T1^10*T2^14 + 1995*T1^11*T2^14 - 
      2540*T1^12*T2^14 + 2919*T1^13*T2^14 - 2844*T1^14*T2^14 + 
      414*T1^15*T2^14 - 1386*T1^16*T2^14 + 155*T1^17*T2^14 - 
      500*T1^18*T2^14 - 75*T1^19*T2^14 + 189*T1^20*T2^14 - 58*T1^5*T2^15 - 
      115*T1^6*T2^15 + 355*T1^7*T2^15 + 77*T1^8*T2^15 + 269*T1^9*T2^15 + 
      744*T1^10*T2^15 + 545*T1^11*T2^15 + 76*T1^12*T2^15 - 467*T1^13*T2^15 + 
      414*T1^14*T2^15 + 450*T1^15*T2^15 + 980*T1^16*T2^15 - 226*T1^17*T2^15 + 
      388*T1^18*T2^15 + 205*T1^19*T2^15 - 203*T1^20*T2^15 + 81*T1^6*T2^16 + 
      15*T1^7*T2^16 - 430*T1^8*T2^16 + 430*T1^9*T2^16 - 970*T1^10*T2^16 + 
      422*T1^11*T2^16 - 1326*T1^12*T2^16 + 1602*T1^13*T2^16 - 
      1386*T1^14*T2^16 + 980*T1^15*T2^16 - 1522*T1^16*T2^16 + 
      472*T1^17*T2^16 - 184*T1^18*T2^16 - 315*T1^19*T2^16 + 189*T1^20*T2^16 - 
      84*T1^7*T2^17 + 120*T1^8*T2^17 + 142*T1^9*T2^17 - 223*T1^10*T2^17 + 
      508*T1^11*T2^17 + 71*T1^12*T2^17 - 181*T1^13*T2^17 + 155*T1^14*T2^17 - 
      226*T1^15*T2^17 + 472*T1^16*T2^17 + 143*T1^17*T2^17 - 254*T1^18*T2^17 + 
      375*T1^19*T2^17 - 147*T1^20*T2^17 + 60*T1^8*T2^18 - 150*T1^9*T2^18 + 
      52*T1^10*T2^18 + 130*T1^11*T2^18 - 544*T1^12*T2^18 + 580*T1^13*T2^18 - 
      500*T1^14*T2^18 + 388*T1^15*T2^18 - 184*T1^16*T2^18 - 254*T1^17*T2^18 + 
      316*T1^18*T2^18 - 270*T1^19*T2^18 + 84*T1^20*T2^18 - 30*T1^9*T2^19 + 
      115*T1^10*T2^19 - 185*T1^11*T2^19 + 210*T1^12*T2^19 - 75*T1^13*T2^19 - 
      75*T1^14*T2^19 + 205*T1^15*T2^19 - 315*T1^16*T2^19 + 375*T1^17*T2^19 - 
      270*T1^18*T2^19 + 145*T1^19*T2^19 - 35*T1^20*T2^19 + 7*T1^10*T2^20 - 
      35*T1^11*T2^20 + 84*T1^12*T2^20 - 147*T1^13*T2^20 + 189*T1^14*T2^20 - 
      203*T1^15*T2^20 + 189*T1^16*T2^20 - 147*T1^17*T2^20 + 84*T1^18*T2^20 - 
      35*T1^19*T2^20 + 7*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 870] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/
     T^4), -((-23 + 115*T1 - 265*T1^2 + 427*T1^3 - 497*T1^4 + 427*T1^5 - 
      265*T1^6 + 115*T1^7 - 23*T1^8 + 115*T2 - 500*T1*T2 + 950*T1^2*T2 - 
      1270*T1^3*T2 + 1090*T1^4*T2 - 510*T1^5*T2 - 70*T1^6*T2 + 290*T1^7*T2 - 
      260*T1^8*T2 + 75*T1^9*T2 - 265*T2^2 + 950*T1*T2^2 - 1265*T1^2*T2^2 + 
      1030*T1^3*T2^2 + 240*T1^4*T2^2 - 1593*T1^5*T2^2 + 2080*T1^6*T2^2 - 
      1454*T1^7*T2^2 + 667*T1^8*T2^2 + 30*T1^9*T2^2 - 81*T1^10*T2^2 + 
      427*T2^3 - 1270*T1*T2^3 + 1030*T1^2*T2^3 - 120*T1^3*T2^3 - 
      1874*T1^4*T2^3 + 2915*T1^5*T2^3 - 2165*T1^6*T2^3 + 160*T1^7*T2^3 + 
      948*T1^8*T2^3 - 1316*T1^9*T2^3 + 490*T1^10*T2^3 - 17*T1^11*T2^3 - 
      497*T2^4 + 1090*T1*T2^4 + 240*T1^2*T2^4 - 1874*T1^3*T2^4 + 
      4014*T1^4*T2^4 - 3879*T1^5*T2^4 + 1374*T1^6*T2^4 + 1633*T1^7*T2^4 - 
      1862*T1^8*T2^4 + 938*T1^9*T2^4 + 752*T1^10*T2^4 - 870*T1^11*T2^4 + 
      191*T1^12*T2^4 + 427*T2^5 - 510*T1*T2^5 - 1593*T1^2*T2^5 + 
      2915*T1^3*T2^5 - 3879*T1^4*T2^5 + 2333*T1^5*T2^5 + 775*T1^6*T2^5 - 
      2115*T1^7*T2^5 - 547*T1^8*T2^5 + 2438*T1^9*T2^5 - 2853*T1^10*T2^5 + 
      1095*T1^11*T2^5 + 610*T1^12*T2^5 - 313*T1^13*T2^5 - 265*T2^6 - 
      70*T1*T2^6 + 2080*T1^2*T2^6 - 2165*T1^3*T2^6 + 1374*T1^4*T2^6 + 
      775*T1^5*T2^6 - 3271*T1^6*T2^6 + 1779*T1^7*T2^6 + 2125*T1^8*T2^6 - 
      2163*T1^9*T2^6 + 20*T1^10*T2^6 + 1883*T1^11*T2^6 - 2416*T1^12*T2^6 + 
      130*T1^13*T2^6 + 287*T1^14*T2^6 + 115*T2^7 + 290*T1*T2^7 - 
      1454*T1^2*T2^7 + 160*T1^3*T2^7 + 1633*T1^4*T2^7 - 2115*T1^5*T2^7 + 
      1779*T1^6*T2^7 + 3644*T1^7*T2^7 - 6726*T1^8*T2^7 + 3560*T1^9*T2^7 + 
      679*T1^10*T2^7 - 1464*T1^11*T2^7 + 1238*T1^12*T2^7 + 1720*T1^13*T2^7 - 
      610*T1^14*T2^7 - 165*T1^15*T2^7 - 23*T2^8 - 260*T1*T2^8 + 
      667*T1^2*T2^8 + 948*T1^3*T2^8 - 1862*T1^4*T2^8 - 547*T1^5*T2^8 + 
      2125*T1^6*T2^8 - 6726*T1^7*T2^8 + 3648*T1^8*T2^8 + 3182*T1^9*T2^8 - 
      6509*T1^10*T2^8 + 3275*T1^11*T2^8 - 1398*T1^12*T2^8 - 2120*T1^13*T2^8 - 
      365*T1^14*T2^8 + 620*T1^15*T2^8 + 41*T1^16*T2^8 + 75*T1*T2^9 + 
      30*T1^2*T2^9 - 1316*T1^3*T2^9 + 938*T1^4*T2^9 + 2438*T1^5*T2^9 - 
      2163*T1^6*T2^9 + 3560*T1^7*T2^9 + 3182*T1^8*T2^9 - 7188*T1^9*T2^9 + 
      5341*T1^10*T2^9 + 631*T1^11*T2^9 - 659*T1^12*T2^9 + 2016*T1^13*T2^9 + 
      1858*T1^14*T2^9 - 870*T1^15*T2^9 - 205*T1^16*T2^9 - 81*T1^2*T2^10 + 
      490*T1^3*T2^10 + 752*T1^4*T2^10 - 2853*T1^5*T2^10 + 20*T1^6*T2^10 + 
      679*T1^7*T2^10 - 6509*T1^8*T2^10 + 5341*T1^9*T2^10 - 1113*T1^10*T2^10 - 
      2259*T1^11*T2^10 - 1334*T1^12*T2^10 + 1195*T1^13*T2^10 - 
      3744*T1^14*T2^10 + 690*T1^15*T2^10 + 471*T1^16*T2^10 - 17*T1^3*T2^11 - 
      870*T1^4*T2^11 + 1095*T1^5*T2^11 + 1883*T1^6*T2^11 - 1464*T1^7*T2^11 + 
      3275*T1^8*T2^11 + 631*T1^9*T2^11 - 2259*T1^10*T2^11 + 395*T1^11*T2^11 + 
      4853*T1^12*T2^11 - 3885*T1^13*T2^11 + 3783*T1^14*T2^11 + 
      250*T1^15*T2^11 - 757*T1^16*T2^11 + 191*T1^4*T2^12 + 610*T1^5*T2^12 - 
      2416*T1^6*T2^12 + 1238*T1^7*T2^12 - 1398*T1^8*T2^12 - 659*T1^9*T2^12 - 
      1334*T1^10*T2^12 + 4853*T1^11*T2^12 - 7274*T1^12*T2^12 + 
      4050*T1^13*T2^12 - 1904*T1^14*T2^12 - 1350*T1^15*T2^12 + 
      879*T1^16*T2^12 - 313*T1^5*T2^13 + 130*T1^6*T2^13 + 1720*T1^7*T2^13 - 
      2120*T1^8*T2^13 + 2016*T1^9*T2^13 + 1195*T1^10*T2^13 - 
      3885*T1^11*T2^13 + 4050*T1^12*T2^13 - 1052*T1^13*T2^13 - 
      626*T1^14*T2^13 + 1890*T1^15*T2^13 - 757*T1^16*T2^13 + 287*T1^6*T2^14 - 
      610*T1^7*T2^14 - 365*T1^8*T2^14 + 1858*T1^9*T2^14 - 3744*T1^10*T2^14 + 
      3783*T1^11*T2^14 - 1904*T1^12*T2^14 - 626*T1^13*T2^14 + 
      1567*T1^14*T2^14 - 1530*T1^15*T2^14 + 471*T1^16*T2^14 - 
      165*T1^7*T2^15 + 620*T1^8*T2^15 - 870*T1^9*T2^15 + 690*T1^10*T2^15 + 
      250*T1^11*T2^15 - 1350*T1^12*T2^15 + 1890*T1^13*T2^15 - 
      1530*T1^14*T2^15 + 860*T1^15*T2^15 - 205*T1^16*T2^15 + 41*T1^8*T2^16 - 
      205*T1^9*T2^16 + 471*T1^10*T2^16 - 757*T1^11*T2^16 + 879*T1^12*T2^16 - 
      757*T1^13*T2^16 + 471*T1^14*T2^16 - 205*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 871] -> 
  {-((2 - 11*T + 27*T^2 - 45*T^3 + 53*T^4 - 45*T^5 + 27*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-23 + 127*T1 - 313*T1^2 + 523*T1^3 - 617*T1^4 + 523*T1^5 - 
      313*T1^6 + 127*T1^7 - 23*T1^8 + 127*T2 - 618*T1*T2 + 1268*T1^2*T2 - 
      1752*T1^3*T2 + 1508*T1^4*T2 - 648*T1^5*T2 - 168*T1^6*T2 + 432*T1^7*T2 - 
      332*T1^8*T2 + 83*T1^9*T2 - 313*T2^2 + 1268*T1*T2^2 - 1821*T1^2*T2^2 + 
      1420*T1^3*T2^2 + 667*T1^4*T2^2 - 2895*T1^5*T2^2 + 3475*T1^6*T2^2 - 
      2252*T1^7*T2^2 + 879*T1^8*T2^2 + 80*T1^9*T2^2 - 97*T1^10*T2^2 + 
      523*T2^3 - 1752*T1*T2^3 + 1420*T1^2*T2^3 + 427*T1^3*T2^3 - 
      4075*T1^4*T2^3 + 5821*T1^5*T2^3 - 3845*T1^6*T2^3 + 29*T1^7*T2^3 + 
      1831*T1^8*T2^3 - 2009*T1^9*T2^3 + 624*T1^10*T2^3 - 17*T1^11*T2^3 - 
      617*T2^4 + 1508*T1*T2^4 + 667*T1^2*T2^4 - 4075*T1^3*T2^4 + 
      7891*T1^4*T2^4 - 6837*T1^5*T2^4 + 911*T1^6*T2^4 + 4487*T1^7*T2^4 - 
      4145*T1^8*T2^4 + 1595*T1^9*T2^4 + 1225*T1^10*T2^4 - 1176*T1^11*T2^4 + 
      231*T1^12*T2^4 + 523*T2^5 - 648*T1*T2^5 - 2895*T1^2*T2^5 + 
      5821*T1^3*T2^5 - 6837*T1^4*T2^5 + 2288*T1^5*T2^5 + 4633*T1^6*T2^5 - 
      5609*T1^7*T2^5 - 1018*T1^8*T2^5 + 5346*T1^9*T2^5 - 5357*T1^10*T2^5 + 
      1764*T1^11*T2^5 + 804*T1^12*T2^5 - 377*T1^13*T2^5 - 313*T2^6 - 
      168*T1*T2^6 + 3475*T1^2*T2^6 - 3845*T1^3*T2^6 + 911*T1^4*T2^6 + 
      4633*T1^5*T2^6 - 8612*T1^6*T2^6 + 2574*T1^7*T2^6 + 6580*T1^8*T2^6 - 
      6275*T1^9*T2^6 + 533*T1^10*T2^6 + 3553*T1^11*T2^6 - 3833*T1^12*T2^6 + 
      228*T1^13*T2^6 + 335*T1^14*T2^6 + 127*T2^7 + 432*T1*T2^7 - 
      2252*T1^2*T2^7 + 29*T1^3*T2^7 + 4487*T1^4*T2^7 - 5609*T1^5*T2^7 + 
      2574*T1^6*T2^7 + 10193*T1^7*T2^7 - 15525*T1^8*T2^7 + 6651*T1^9*T2^7 + 
      3301*T1^10*T2^7 - 4260*T1^11*T2^7 + 2189*T1^12*T2^7 + 2635*T1^13*T2^7 - 
      844*T1^14*T2^7 - 181*T1^15*T2^7 - 23*T2^8 - 332*T1*T2^8 + 
      879*T1^2*T2^8 + 1831*T1^3*T2^8 - 4145*T1^4*T2^8 - 1018*T1^5*T2^8 + 
      6580*T1^6*T2^8 - 15525*T1^7*T2^8 + 7512*T1^8*T2^8 + 8429*T1^9*T2^8 - 
      14210*T1^10*T2^8 + 6050*T1^11*T2^8 - 937*T1^12*T2^8 - 3983*T1^13*T2^8 - 
      411*T1^14*T2^8 + 768*T1^15*T2^8 + 41*T1^16*T2^8 + 83*T1*T2^9 + 
      80*T1^2*T2^9 - 2009*T1^3*T2^9 + 1595*T1^4*T2^9 + 5346*T1^5*T2^9 - 
      6275*T1^6*T2^9 + 6651*T1^7*T2^9 + 8429*T1^8*T2^9 - 17289*T1^9*T2^9 + 
      10728*T1^10*T2^9 + 2635*T1^11*T2^9 - 3401*T1^12*T2^9 + 
      3755*T1^13*T2^9 + 2878*T1^14*T2^9 - 1196*T1^15*T2^9 - 225*T1^16*T2^9 - 
      97*T1^2*T2^10 + 624*T1^3*T2^10 + 1225*T1^4*T2^10 - 5357*T1^5*T2^10 + 
      533*T1^6*T2^10 + 3301*T1^7*T2^10 - 14210*T1^8*T2^10 + 
      10728*T1^9*T2^10 + 982*T1^10*T2^10 - 7607*T1^11*T2^10 + 
      155*T1^12*T2^10 + 2041*T1^13*T2^10 - 6083*T1^14*T2^10 + 
      1020*T1^15*T2^10 + 551*T1^16*T2^10 - 17*T1^3*T2^11 - 1176*T1^4*T2^11 + 
      1764*T1^5*T2^11 + 3553*T1^6*T2^11 - 4260*T1^7*T2^11 + 6050*T1^8*T2^11 + 
      2635*T1^9*T2^11 - 7607*T1^10*T2^11 + 2744*T1^11*T2^11 + 
      7923*T1^12*T2^11 - 7625*T1^13*T2^11 + 6423*T1^14*T2^11 + 
      276*T1^15*T2^11 - 917*T1^16*T2^11 + 231*T1^4*T2^12 + 804*T1^5*T2^12 - 
      3833*T1^6*T2^12 + 2189*T1^7*T2^12 - 937*T1^8*T2^12 - 3401*T1^9*T2^12 + 
      155*T1^10*T2^12 + 7923*T1^11*T2^12 - 12973*T1^12*T2^12 + 
      7859*T1^13*T2^12 - 3275*T1^14*T2^12 - 1880*T1^15*T2^12 + 
      1079*T1^16*T2^12 - 377*T1^5*T2^13 + 228*T1^6*T2^13 + 2635*T1^7*T2^13 - 
      3983*T1^8*T2^13 + 3755*T1^9*T2^13 + 2041*T1^10*T2^13 - 
      7625*T1^11*T2^13 + 7859*T1^12*T2^13 - 2579*T1^13*T2^13 - 
      794*T1^14*T2^13 + 2604*T1^15*T2^13 - 917*T1^16*T2^13 + 335*T1^6*T2^14 - 
      844*T1^7*T2^14 - 411*T1^8*T2^14 + 2878*T1^9*T2^14 - 6083*T1^10*T2^14 + 
      6423*T1^11*T2^14 - 3275*T1^12*T2^14 - 794*T1^13*T2^14 + 
      2289*T1^14*T2^14 - 2032*T1^15*T2^14 + 551*T1^16*T2^14 - 
      181*T1^7*T2^15 + 768*T1^8*T2^15 - 1196*T1^9*T2^15 + 1020*T1^10*T2^15 + 
      276*T1^11*T2^15 - 1880*T1^12*T2^15 + 2604*T1^13*T2^15 - 
      2032*T1^14*T2^15 + 1054*T1^15*T2^15 - 225*T1^16*T2^15 + 41*T1^8*T2^16 - 
      225*T1^9*T2^16 + 551*T1^10*T2^16 - 917*T1^11*T2^16 + 1079*T1^12*T2^16 - 
      917*T1^13*T2^16 + 551*T1^14*T2^16 - 225*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 872] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((-176 + 924*T1 - 1980*T1^2 + 2504*T1^3 - 1980*T1^4 + 924*T1^5 - 
      176*T1^6 + 924*T2 - 4262*T1*T2 + 7306*T1^2*T2 - 6530*T1^3*T2 + 
      2038*T1^4*T2 + 1762*T1^5*T2 - 2162*T1^6*T2 + 588*T1^7*T2 - 1980*T2^2 + 
      7306*T1*T2^2 - 6602*T1^2*T2^2 - 3810*T1^3*T2^2 + 15670*T1^4*T2^2 - 
      16770*T1^5*T2^2 + 8158*T1^6*T2^2 - 254*T1^7*T2^2 - 540*T1^8*T2^2 + 
      2504*T2^3 - 6530*T1*T2^3 - 3810*T1^2*T2^3 + 24293*T1^3*T2^3 - 
      33170*T1^4*T2^3 + 18076*T1^5*T2^3 + 3647*T1^6*T2^3 - 10965*T1^7*T2^3 + 
      4054*T1^8*T2^3 - 232*T1^9*T2^3 - 1980*T2^4 + 2038*T1*T2^4 + 
      15670*T1^2*T2^4 - 33170*T1^3*T2^4 + 20248*T1^4*T2^4 + 16070*T1^5*T2^4 - 
      36416*T1^6*T2^4 + 23944*T1^7*T2^4 - 2204*T1^8*T2^4 - 3506*T1^9*T2^4 + 
      900*T1^10*T2^4 + 924*T2^5 + 1762*T1*T2^5 - 16770*T1^2*T2^5 + 
      18076*T1^3*T2^5 + 16070*T1^4*T2^5 - 47460*T1^5*T2^5 + 37560*T1^6*T2^5 + 
      815*T1^7*T2^5 - 21434*T1^8*T2^5 + 13605*T1^9*T2^5 - 758*T1^10*T2^5 - 
      756*T1^11*T2^5 - 176*T2^6 - 2162*T1*T2^6 + 8158*T1^2*T2^6 + 
      3647*T1^3*T2^6 - 36416*T1^4*T2^6 + 37560*T1^5*T2^6 + 528*T1^6*T2^6 - 
      37932*T1^7*T2^6 + 33406*T1^8*T2^6 - 7495*T1^9*T2^6 - 8366*T1^10*T2^6 + 
      2878*T1^11*T2^6 + 208*T1^12*T2^6 + 588*T1*T2^7 - 254*T1^2*T2^7 - 
      10965*T1^3*T2^7 + 23944*T1^4*T2^7 + 815*T1^5*T2^7 - 37932*T1^6*T2^7 + 
      47088*T1^7*T2^7 - 14440*T1^8*T2^7 - 15566*T1^9*T2^7 + 
      19410*T1^10*T2^7 - 2774*T1^11*T2^7 - 1092*T1^12*T2^7 - 540*T1^2*T2^8 + 
      4054*T1^3*T2^8 - 2204*T1^4*T2^8 - 21434*T1^5*T2^8 + 33406*T1^6*T2^8 - 
      14440*T1^7*T2^8 - 23258*T1^8*T2^8 + 35680*T1^9*T2^8 - 
      20078*T1^10*T2^8 - 1490*T1^11*T2^8 + 2340*T1^12*T2^8 - 232*T1^3*T2^9 - 
      3506*T1^4*T2^9 + 13605*T1^5*T2^9 - 7495*T1^6*T2^9 - 15566*T1^7*T2^9 + 
      35680*T1^8*T2^9 - 28141*T1^9*T2^9 + 6450*T1^10*T2^9 + 7078*T1^11*T2^9 - 
      2968*T1^12*T2^9 + 900*T1^4*T2^10 - 758*T1^5*T2^10 - 8366*T1^6*T2^10 + 
      19410*T1^7*T2^10 - 20078*T1^8*T2^10 + 6450*T1^9*T2^10 + 
      6394*T1^10*T2^10 - 8318*T1^11*T2^10 + 2340*T1^12*T2^10 - 
      756*T1^5*T2^11 + 2878*T1^6*T2^11 - 2774*T1^7*T2^11 - 1490*T1^8*T2^11 + 
      7078*T1^9*T2^11 - 8318*T1^10*T2^11 + 4978*T1^11*T2^11 - 
      1092*T1^12*T2^11 + 208*T1^6*T2^12 - 1092*T1^7*T2^12 + 2340*T1^8*T2^12 - 
      2968*T1^9*T2^12 + 2340*T1^10*T2^12 - 1092*T1^11*T2^12 + 
      208*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 873] -> 
  {-((5 - 22*T + 42*T^2 - 51*T^3 + 42*T^4 - 22*T^5 + 5*T^6)/T^3), 
   -((-395 + 1735*T1 - 3313*T1^2 + 4033*T1^3 - 3313*T1^4 + 1735*T1^5 - 
      395*T1^6 + 1735*T2 - 6442*T1*T2 + 9361*T1^2*T2 - 7782*T1^3*T2 + 
      2448*T1^4*T2 + 2321*T1^5*T2 - 3472*T1^6*T2 + 1185*T1^7*T2 - 3313*T2^2 + 
      9361*T1*T2^2 - 6239*T1^2*T2^2 - 4105*T1^3*T2^2 + 14583*T1^4*T2^2 - 
      16285*T1^5*T2^2 + 9301*T1^6*T2^2 + 121*T1^7*T2^2 - 1213*T1^8*T2^2 + 
      4033*T2^3 - 7782*T1*T2^3 - 4105*T1^2*T2^3 + 17505*T1^3*T2^3 - 
      22962*T1^4*T2^3 + 14010*T1^5*T2^3 + 1209*T1^6*T2^3 - 11287*T1^7*T2^3 + 
      4428*T1^8*T2^3 + 208*T1^9*T2^3 - 3313*T2^4 + 2448*T1*T2^4 + 
      14583*T1^2*T2^4 - 22962*T1^3*T2^4 + 19425*T1^4*T2^4 - 2291*T1^5*T2^4 - 
      14571*T1^6*T2^4 + 17226*T1^7*T2^4 + 495*T1^8*T2^4 - 4812*T1^9*T2^4 + 
      887*T1^10*T2^4 + 1735*T2^5 + 2321*T1*T2^5 - 16285*T1^2*T2^5 + 
      14010*T1^3*T2^5 - 2291*T1^4*T2^5 - 15170*T1^5*T2^5 + 21478*T1^6*T2^5 - 
      7247*T1^7*T2^5 - 16530*T1^8*T2^5 + 10889*T1^9*T2^5 + 561*T1^10*T2^5 - 
      1015*T1^11*T2^5 - 395*T2^6 - 3472*T1*T2^6 + 9301*T1^2*T2^6 + 
      1209*T1^3*T2^6 - 14571*T1^4*T2^6 + 21478*T1^5*T2^6 - 10608*T1^6*T2^6 - 
      12502*T1^7*T2^6 + 23529*T1^8*T2^6 - 2745*T1^9*T2^6 - 9351*T1^10*T2^6 + 
      2908*T1^11*T2^6 + 355*T1^12*T2^6 + 1185*T1*T2^7 + 121*T1^2*T2^7 - 
      11287*T1^3*T2^7 + 17226*T1^4*T2^7 - 7247*T1^5*T2^7 - 12502*T1^6*T2^7 + 
      24146*T1^7*T2^7 - 12203*T1^8*T2^7 - 13314*T1^9*T2^7 + 
      15887*T1^10*T2^7 - 1639*T1^11*T2^7 - 1565*T1^12*T2^7 - 1213*T1^2*T2^8 + 
      4428*T1^3*T2^8 + 495*T1^4*T2^8 - 16530*T1^5*T2^8 + 23529*T1^6*T2^8 - 
      12203*T1^7*T2^8 - 10467*T1^8*T2^8 + 23658*T1^9*T2^8 - 
      13593*T1^10*T2^8 - 2832*T1^11*T2^8 + 2987*T1^12*T2^8 + 208*T1^3*T2^9 - 
      4812*T1^4*T2^9 + 10889*T1^5*T2^9 - 2745*T1^6*T2^9 - 13314*T1^7*T2^9 + 
      23658*T1^8*T2^9 - 19041*T1^9*T2^9 + 3707*T1^10*T2^9 + 7398*T1^11*T2^9 - 
      3617*T1^12*T2^9 + 887*T1^4*T2^10 + 561*T1^5*T2^10 - 9351*T1^6*T2^10 + 
      15887*T1^7*T2^10 - 13593*T1^8*T2^10 + 3707*T1^9*T2^10 + 
      6189*T1^10*T2^10 - 8679*T1^11*T2^10 + 2987*T1^12*T2^10 - 
      1015*T1^5*T2^11 + 2908*T1^6*T2^11 - 1639*T1^7*T2^11 - 2832*T1^8*T2^11 + 
      7398*T1^9*T2^11 - 8679*T1^10*T2^11 + 5878*T1^11*T2^11 - 
      1565*T1^12*T2^11 + 355*T1^6*T2^12 - 1565*T1^7*T2^12 + 2987*T1^8*T2^12 - 
      3617*T1^9*T2^12 + 2987*T1^10*T2^12 - 1565*T1^11*T2^12 + 
      355*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 874] -> 
  {-((2 - 12*T + 33*T^2 - 59*T^3 + 71*T^4 - 59*T^5 + 33*T^6 - 12*T^7 + 2*T^8)/
     T^4), -((-23 + 139*T1 - 385*T1^2 + 691*T1^3 - 833*T1^4 + 691*T1^5 - 
      385*T1^6 + 139*T1^7 - 23*T1^8 + 139*T2 - 748*T1*T2 + 1771*T1^2*T2 - 
      2637*T1^3*T2 + 2272*T1^4*T2 - 848*T1^5*T2 - 429*T1^6*T2 + 691*T1^7*T2 - 
      412*T1^8*T2 + 91*T1^9*T2 - 385*T2^2 + 1771*T1*T2^2 - 3220*T1^2*T2^2 + 
      3061*T1^3*T2^2 + 563*T1^4*T2^2 - 4658*T1^5*T2^2 + 5579*T1^6*T2^2 - 
      3143*T1^7*T2^2 + 872*T1^8*T2^2 + 187*T1^9*T2^2 - 121*T1^10*T2^2 + 
      691*T2^3 - 2637*T1*T2^3 + 3061*T1^2*T2^3 + 262*T1^3*T2^3 - 
      8198*T1^4*T2^3 + 11853*T1^5*T2^3 - 7059*T1^6*T2^3 - 1148*T1^7*T2^3 + 
      4036*T1^8*T2^3 - 3077*T1^9*T2^3 + 819*T1^10*T2^3 - 17*T1^11*T2^3 - 
      833*T2^4 + 2272*T1*T2^4 + 563*T1^2*T2^4 - 8198*T1^3*T2^4 + 
      17467*T1^4*T2^4 - 13383*T1^5*T2^4 - 2245*T1^6*T2^4 + 13729*T1^7*T2^4 - 
      9893*T1^8*T2^4 + 2186*T1^9*T2^4 + 2315*T1^10*T2^4 - 1712*T1^11*T2^4 + 
      303*T1^12*T2^4 + 691*T2^5 - 848*T1*T2^5 - 4658*T1^2*T2^5 + 
      11853*T1^3*T2^5 - 13383*T1^4*T2^5 - 3635*T1^5*T2^5 + 23267*T1^6*T2^5 - 
      21241*T1^7*T2^5 - 669*T1^8*T2^5 + 13028*T1^9*T2^5 - 10427*T1^10*T2^5 + 
      2650*T1^11*T2^5 + 1120*T1^12*T2^5 - 489*T1^13*T2^5 - 385*T2^6 - 
      429*T1*T2^6 + 5579*T1^2*T2^6 - 7059*T1^3*T2^6 - 2245*T1^4*T2^6 + 
      23267*T1^5*T2^6 - 29560*T1^6*T2^6 + 2422*T1^7*T2^6 + 27680*T1^8*T2^6 - 
      24931*T1^9*T2^6 + 4049*T1^10*T2^6 + 6801*T1^11*T2^6 - 5965*T1^12*T2^6 + 
      483*T1^13*T2^6 + 407*T1^14*T2^6 + 139*T2^7 + 691*T1*T2^7 - 
      3143*T1^2*T2^7 - 1148*T1^3*T2^7 + 13729*T1^4*T2^7 - 21241*T1^5*T2^7 + 
      2422*T1^6*T2^7 + 41402*T1^7*T2^7 - 52544*T1^8*T2^7 + 18243*T1^9*T2^7 + 
      15887*T1^10*T2^7 - 15486*T1^11*T2^7 + 5138*T1^12*T2^7 + 
      3391*T1^13*T2^7 - 1253*T1^14*T2^7 - 197*T1^15*T2^7 - 23*T2^8 - 
      412*T1*T2^8 + 872*T1^2*T2^8 + 4036*T1^3*T2^8 - 9893*T1^4*T2^8 - 
      669*T1^5*T2^8 + 27680*T1^6*T2^8 - 52544*T1^7*T2^8 + 19644*T1^8*T2^8 + 
      33680*T1^9*T2^8 - 48890*T1^10*T2^8 + 17605*T1^11*T2^8 + 
      1607*T1^12*T2^8 - 7688*T1^13*T2^8 + 272*T1^14*T2^8 + 932*T1^15*T2^8 + 
      41*T1^16*T2^8 + 91*T1*T2^9 + 187*T1^2*T2^9 - 3077*T1^3*T2^9 + 
      2186*T1^4*T2^9 + 13028*T1^5*T2^9 - 24931*T1^6*T2^9 + 18243*T1^7*T2^9 + 
      33680*T1^8*T2^9 - 60266*T1^9*T2^9 + 34064*T1^10*T2^9 + 
      12197*T1^11*T2^9 - 16187*T1^12*T2^9 + 8472*T1^13*T2^9 + 
      3457*T1^14*T2^9 - 1757*T1^15*T2^9 - 245*T1^16*T2^9 - 121*T1^2*T2^10 + 
      819*T1^3*T2^10 + 2315*T1^4*T2^10 - 10427*T1^5*T2^10 + 4049*T1^6*T2^10 + 
      15887*T1^7*T2^10 - 48890*T1^8*T2^10 + 34064*T1^9*T2^10 + 
      8350*T1^10*T2^10 - 32311*T1^11*T2^10 + 10343*T1^12*T2^10 + 
      3433*T1^13*T2^10 - 9229*T1^14*T2^10 + 1731*T1^15*T2^10 + 
      671*T1^16*T2^10 - 17*T1^3*T2^11 - 1712*T1^4*T2^11 + 2650*T1^5*T2^11 + 
      6801*T1^6*T2^11 - 15486*T1^7*T2^11 + 17605*T1^8*T2^11 + 
      12197*T1^9*T2^11 - 32311*T1^10*T2^11 + 20571*T1^11*T2^11 + 
      10925*T1^12*T2^11 - 15479*T1^13*T2^11 + 9958*T1^14*T2^11 + 
      256*T1^15*T2^11 - 1197*T1^16*T2^11 + 303*T1^4*T2^12 + 1120*T1^5*T2^12 - 
      5965*T1^6*T2^12 + 5138*T1^7*T2^12 + 1607*T1^8*T2^12 - 
      16187*T1^9*T2^12 + 10343*T1^10*T2^12 + 10925*T1^11*T2^12 - 
      25753*T1^12*T2^12 + 15522*T1^13*T2^12 - 4213*T1^14*T2^12 - 
      2864*T1^15*T2^12 + 1439*T1^16*T2^12 - 489*T1^5*T2^13 + 483*T1^6*T2^13 + 
      3391*T1^7*T2^13 - 7688*T1^8*T2^13 + 8472*T1^9*T2^13 + 
      3433*T1^10*T2^13 - 15479*T1^11*T2^13 + 15522*T1^12*T2^13 - 
      3914*T1^13*T2^13 - 2747*T1^14*T2^13 + 3939*T1^15*T2^13 - 
      1197*T1^16*T2^13 + 407*T1^6*T2^14 - 1253*T1^7*T2^14 + 272*T1^8*T2^14 + 
      3457*T1^9*T2^14 - 9229*T1^10*T2^14 + 9958*T1^11*T2^14 - 
      4213*T1^12*T2^14 - 2747*T1^13*T2^14 + 4364*T1^14*T2^14 - 
      2837*T1^15*T2^14 + 671*T1^16*T2^14 - 197*T1^7*T2^15 + 932*T1^8*T2^15 - 
      1757*T1^9*T2^15 + 1731*T1^10*T2^15 + 256*T1^11*T2^15 - 
      2864*T1^12*T2^15 + 3939*T1^13*T2^15 - 2837*T1^14*T2^15 + 
      1268*T1^15*T2^15 - 245*T1^16*T2^15 + 41*T1^8*T2^16 - 245*T1^9*T2^16 + 
      671*T1^10*T2^16 - 1197*T1^11*T2^16 + 1439*T1^12*T2^16 - 
      1197*T1^13*T2^16 + 671*T1^14*T2^16 - 245*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 875] -> 
  {(5 - 29*T + 72*T^2 - 95*T^3 + 72*T^4 - 29*T^5 + 5*T^6)/T^3, 
   (-520 + 3005*T1 - 7435*T1^2 + 9788*T1^3 - 7435*T1^4 + 3005*T1^5 - 
     520*T1^6 + 3005*T2 - 15103*T1*T2 + 29861*T1^2*T2 - 24081*T1^3*T2 + 
     134*T1^4*T2 + 15216*T1^5*T2 - 10173*T1^6*T2 + 2280*T1^7*T2 - 7435*T2^2 + 
     29861*T1*T2^2 - 34207*T1^2*T2^2 - 26188*T1^3*T2^2 + 87191*T1^4*T2^2 - 
     73708*T1^5*T2^2 + 14033*T1^6*T2^2 + 8981*T1^7*T2^2 - 3835*T1^8*T2^2 + 
     9788*T2^3 - 24081*T1*T2^3 - 26188*T1^2*T2^3 + 157179*T1^3*T2^3 - 
     173587*T1^4*T2^3 + 31184*T1^5*T2^3 + 88791*T1^6*T2^3 - 57796*T1^7*T2^3 + 
     6804*T1^8*T2^3 + 2663*T1^9*T2^3 - 7435*T2^4 + 134*T1*T2^4 + 
     87191*T1^2*T2^4 - 173587*T1^3*T2^4 + 7051*T1^4*T2^4 + 244279*T1^5*T2^4 - 
     260129*T1^6*T2^4 + 58783*T1^7*T2^4 + 31081*T1^8*T2^4 - 14076*T1^9*T2^4 - 
     235*T1^10*T2^4 + 3005*T2^5 + 15216*T1*T2^5 - 73708*T1^2*T2^5 + 
     31184*T1^3*T2^5 + 244279*T1^4*T2^5 - 377911*T1^5*T2^5 + 
     156355*T1^6*T2^5 + 127639*T1^7*T2^5 - 118389*T1^8*T2^5 + 
     21548*T1^9*T2^5 + 4921*T1^10*T2^5 - 620*T1^11*T2^5 - 520*T2^6 - 
     10173*T1*T2^6 + 14033*T1^2*T2^6 + 88791*T1^3*T2^6 - 260129*T1^4*T2^6 + 
     156355*T1^5*T2^6 + 166716*T1^6*T2^6 - 306895*T1^7*T2^6 + 
     125747*T1^8*T2^6 + 16077*T1^9*T2^6 - 20883*T1^10*T2^6 + 
     2297*T1^11*T2^6 + 230*T1^12*T2^6 + 2280*T1*T2^7 + 8981*T1^2*T2^7 - 
     57796*T1^3*T2^7 + 58783*T1^4*T2^7 + 127639*T1^5*T2^7 - 
     306895*T1^6*T2^7 + 227371*T1^7*T2^7 + 10999*T1^8*T2^7 - 
     90790*T1^9*T2^7 + 37460*T1^10*T2^7 - 1314*T1^11*T2^7 - 1345*T1^12*T2^7 - 
     3835*T1^2*T2^8 + 6804*T1^3*T2^8 + 31081*T1^4*T2^8 - 118389*T1^5*T2^8 + 
     125747*T1^6*T2^8 + 10999*T1^7*T2^8 - 141433*T1^8*T2^8 + 
     113981*T1^9*T2^8 - 25029*T1^10*T2^8 - 7406*T1^11*T2^8 + 
     3365*T1^12*T2^8 + 2663*T1^3*T2^9 - 14076*T1^4*T2^9 + 21548*T1^5*T2^9 + 
     16077*T1^6*T2^9 - 90790*T1^7*T2^9 + 113981*T1^8*T2^9 - 52311*T1^9*T2^9 - 
     10060*T1^10*T2^9 + 16809*T1^11*T2^9 - 4462*T1^12*T2^9 - 235*T1^4*T2^10 + 
     4921*T1^5*T2^10 - 20883*T1^6*T2^10 + 37460*T1^7*T2^10 - 
     25029*T1^8*T2^10 - 10060*T1^9*T2^10 + 27357*T1^10*T2^10 - 
     15959*T1^11*T2^10 + 3365*T1^12*T2^10 - 620*T1^5*T2^11 + 
     2297*T1^6*T2^11 - 1314*T1^7*T2^11 - 7406*T1^8*T2^11 + 16809*T1^9*T2^11 - 
     15959*T1^10*T2^11 + 7227*T1^11*T2^11 - 1345*T1^12*T2^11 + 
     230*T1^6*T2^12 - 1345*T1^7*T2^12 + 3365*T1^8*T2^12 - 4462*T1^9*T2^12 + 
     3365*T1^10*T2^12 - 1345*T1^11*T2^12 + 230*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 876] -> 
  {((1 - T + T^2 - T^3 + T^4)*(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4))/T^4, 
   -((219 - 580*T1 + 939*T1^2 - 1298*T1^3 + 1515*T1^4 - 1298*T1^5 + 
      939*T1^6 - 580*T1^7 + 219*T1^8 - 580*T2 + 1032*T1*T2 - 1149*T1^2*T2 + 
      1269*T1^3*T2 - 1009*T1^4*T2 - 73*T1^5*T2 + 525*T1^6*T2 - 645*T1^7*T2 + 
      768*T1^8*T2 - 508*T1^9*T2 + 939*T2^2 - 1149*T1*T2^2 + 1123*T1^2*T2^2 - 
      1527*T1^3*T2^2 + 1326*T1^4*T2^2 - 193*T1^5*T2^2 + 702*T1^6*T2^2 - 
      747*T1^7*T2^2 + 343*T1^8*T2^2 - 525*T1^9*T2^2 + 705*T1^10*T2^2 - 
      1298*T2^3 + 1269*T1*T2^3 - 1527*T1^2*T2^3 + 2254*T1^3*T2^3 - 
      1730*T1^4*T2^3 + 158*T1^5*T2^3 - 808*T1^6*T2^3 - 256*T1^7*T2^3 + 
      1036*T1^8*T2^3 - 565*T1^9*T2^3 + 285*T1^10*T2^3 - 812*T1^11*T2^3 + 
      1515*T2^4 - 1009*T1*T2^4 + 1326*T1^2*T2^4 - 1730*T1^3*T2^4 + 
      559*T1^4*T2^4 + 1180*T1^5*T2^4 - 53*T1^6*T2^4 + 1396*T1^7*T2^4 - 
      1097*T1^8*T2^4 - 74*T1^9*T2^4 + 354*T1^10*T2^4 + 143*T1^11*T2^4 + 
      759*T1^12*T2^4 - 1298*T2^5 - 73*T1*T2^5 - 193*T1^2*T2^5 + 
      158*T1^3*T2^5 + 1180*T1^4*T2^5 - 1996*T1^5*T2^5 - 197*T1^6*T2^5 - 
      1025*T1^7*T2^5 - 304*T1^8*T2^5 + 1180*T1^9*T2^5 - 724*T1^10*T2^5 - 
      13*T1^11*T2^5 - 721*T1^12*T2^5 - 488*T1^13*T2^5 + 939*T2^6 + 
      525*T1*T2^6 + 702*T1^2*T2^6 - 808*T1^3*T2^6 - 53*T1^4*T2^6 - 
      197*T1^5*T2^6 + 1967*T1^6*T2^6 + 397*T1^7*T2^6 + 1019*T1^8*T2^6 - 
      893*T1^9*T2^6 - 59*T1^10*T2^6 + 284*T1^11*T2^6 + 630*T1^12*T2^6 + 
      669*T1^13*T2^6 + 237*T1^14*T2^6 - 580*T2^7 - 645*T1*T2^7 - 
      747*T1^2*T2^7 - 256*T1^3*T2^7 + 1396*T1^4*T2^7 - 1025*T1^5*T2^7 + 
      397*T1^6*T2^7 - 2468*T1^7*T2^7 - 416*T1^8*T2^7 + 301*T1^9*T2^7 + 
      67*T1^10*T2^7 + 532*T1^11*T2^7 - 1002*T1^12*T2^7 - 617*T1^13*T2^7 - 
      429*T1^14*T2^7 - 76*T1^15*T2^7 + 219*T2^8 + 768*T1*T2^8 + 
      343*T1^2*T2^8 + 1036*T1^3*T2^8 - 1097*T1^4*T2^8 - 304*T1^5*T2^8 + 
      1019*T1^6*T2^8 - 416*T1^7*T2^8 + 3552*T1^8*T2^8 - 2104*T1^9*T2^8 + 
      1307*T1^10*T2^8 - 1384*T1^11*T2^8 + 699*T1^12*T2^8 + 804*T1^13*T2^8 + 
      451*T1^14*T2^8 + 192*T1^15*T2^8 + 3*T1^16*T2^8 - 508*T1*T2^9 - 
      525*T1^2*T2^9 - 565*T1^3*T2^9 - 74*T1^4*T2^9 + 1180*T1^5*T2^9 - 
      893*T1^6*T2^9 + 301*T1^7*T2^9 - 2104*T1^8*T2^9 - 52*T1^9*T2^9 + 
      205*T1^10*T2^9 + 199*T1^11*T2^9 + 316*T1^12*T2^9 - 820*T1^13*T2^9 - 
      435*T1^14*T2^9 - 309*T1^15*T2^9 - 4*T1^16*T2^9 + 705*T1^2*T2^10 + 
      285*T1^3*T2^10 + 354*T1^4*T2^10 - 724*T1^5*T2^10 - 59*T1^6*T2^10 + 
      67*T1^7*T2^10 + 1307*T1^8*T2^10 + 205*T1^9*T2^10 + 359*T1^10*T2^10 - 
      629*T1^11*T2^10 - 65*T1^12*T2^10 + 368*T1^13*T2^10 + 282*T1^14*T2^10 + 
      429*T1^15*T2^10 + 3*T1^16*T2^10 - 812*T1^3*T2^11 + 143*T1^4*T2^11 - 
      13*T1^5*T2^11 + 284*T1^6*T2^11 + 532*T1^7*T2^11 - 1384*T1^8*T2^11 + 
      199*T1^9*T2^11 - 629*T1^10*T2^11 + 308*T1^11*T2^11 + 532*T1^12*T2^11 - 
      598*T1^13*T2^11 + 167*T1^14*T2^11 - 505*T1^15*T2^11 - 2*T1^16*T2^11 + 
      759*T1^4*T2^12 - 721*T1^5*T2^12 + 630*T1^6*T2^12 - 1002*T1^7*T2^12 + 
      699*T1^8*T2^12 + 316*T1^9*T2^12 - 65*T1^10*T2^12 + 532*T1^11*T2^12 - 
      957*T1^12*T2^12 + 654*T1^13*T2^12 - 342*T1^14*T2^12 + 431*T1^15*T2^12 + 
      3*T1^16*T2^12 - 488*T1^5*T2^13 + 669*T1^6*T2^13 - 617*T1^7*T2^13 + 
      804*T1^8*T2^13 - 820*T1^9*T2^13 + 368*T1^10*T2^13 - 598*T1^11*T2^13 + 
      654*T1^12*T2^13 - 414*T1^13*T2^13 + 345*T1^14*T2^13 - 315*T1^15*T2^13 - 
      2*T1^16*T2^13 + 237*T1^6*T2^14 - 429*T1^7*T2^14 + 451*T1^8*T2^14 - 
      435*T1^9*T2^14 + 282*T1^10*T2^14 + 167*T1^11*T2^14 - 342*T1^12*T2^14 + 
      345*T1^13*T2^14 - 329*T1^14*T2^14 + 195*T1^15*T2^14 + 3*T1^16*T2^14 - 
      76*T1^7*T2^15 + 192*T1^8*T2^15 - 309*T1^9*T2^15 + 429*T1^10*T2^15 - 
      505*T1^11*T2^15 + 431*T1^12*T2^15 - 315*T1^13*T2^15 + 195*T1^14*T2^15 - 
      72*T1^15*T2^15 - 4*T1^16*T2^15 + 3*T1^8*T2^16 - 4*T1^9*T2^16 + 
      3*T1^10*T2^16 - 2*T1^11*T2^16 + 3*T1^12*T2^16 - 2*T1^13*T2^16 + 
      3*T1^14*T2^16 - 4*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 877] -> 
  {(6 - 18*T + 27*T^2 - 29*T^3 + 27*T^4 - 18*T^5 + 6*T^6)/T^3, 
   -((1347 - 4008*T1 + 5992*T1^2 - 6425*T1^3 + 5992*T1^4 - 4008*T1^5 + 
      1347*T1^6 - 4008*T2 + 8590*T1*T2 - 7880*T1^2*T2 + 4220*T1^3*T2 - 
      1828*T1^4*T2 - 3020*T1^5*T2 + 5998*T1^6*T2 - 3360*T1^7*T2 + 5992*T2^2 - 
      7880*T1*T2^2 + 765*T1^2*T2^2 + 4547*T1^3*T2^2 - 4045*T1^4*T2^2 + 
      8111*T1^5*T2^2 - 6039*T1^6*T2^2 - 2048*T1^7*T2^2 + 4048*T1^8*T2^2 - 
      6425*T2^3 + 4220*T1*T2^3 + 4547*T1^2*T2^3 - 4744*T1^3*T2^3 - 
      160*T1^4*T2^3 - 3886*T1^5*T2^3 - 1144*T1^6*T2^3 + 6977*T1^7*T2^3 - 
      2260*T1^8*T2^3 - 3293*T1^9*T2^3 + 5992*T2^4 - 1828*T1*T2^4 - 
      4045*T1^2*T2^4 - 160*T1^3*T2^4 + 4287*T1^4*T2^4 + 2357*T1^5*T2^4 + 
      2163*T1^6*T2^4 - 3292*T1^7*T2^4 - 2749*T1^8*T2^4 + 3572*T1^9*T2^4 + 
      2104*T1^10*T2^4 - 4008*T2^5 - 3020*T1*T2^5 + 8111*T1^2*T2^5 - 
      3886*T1^3*T2^5 + 2357*T1^4*T2^5 - 8095*T1^5*T2^5 + 707*T1^6*T2^5 + 
      1142*T1^7*T2^5 + 1028*T1^8*T2^5 + 1145*T1^9*T2^5 - 3992*T1^10*T2^5 - 
      768*T1^11*T2^5 + 1347*T2^6 + 5998*T1*T2^6 - 6039*T1^2*T2^6 - 
      1144*T1^3*T2^6 + 2163*T1^4*T2^6 + 707*T1^5*T2^6 + 7512*T1^6*T2^6 - 
      6583*T1^7*T2^6 + 3297*T1^8*T2^6 - 3628*T1^9*T2^6 + 2709*T1^10*T2^6 + 
      2110*T1^11*T2^6 + 51*T1^12*T2^6 - 3360*T1*T2^7 - 2048*T1^2*T2^7 + 
      6977*T1^3*T2^7 - 3292*T1^4*T2^7 + 1142*T1^5*T2^7 - 6583*T1^6*T2^7 + 
      2219*T1^7*T2^7 - 73*T1^8*T2^7 + 1622*T1^9*T2^7 + 11*T1^10*T2^7 - 
      3020*T1^11*T2^7 - 120*T1^12*T2^7 + 4048*T1^2*T2^8 - 2260*T1^3*T2^8 - 
      2749*T1^4*T2^8 + 1028*T1^5*T2^8 + 3297*T1^6*T2^8 - 73*T1^7*T2^8 + 
      1173*T1^8*T2^8 - 2104*T1^9*T2^8 - 1453*T1^10*T2^8 + 3140*T1^11*T2^8 + 
      160*T1^12*T2^8 - 3293*T1^3*T2^9 + 3572*T1^4*T2^9 + 1145*T1^5*T2^9 - 
      3628*T1^6*T2^9 + 1622*T1^7*T2^9 - 2104*T1^8*T2^9 - 28*T1^9*T2^9 + 
      3575*T1^10*T2^9 - 2908*T1^11*T2^9 - 161*T1^12*T2^9 + 2104*T1^4*T2^10 - 
      3992*T1^5*T2^10 + 2709*T1^6*T2^10 + 11*T1^7*T2^10 - 1453*T1^8*T2^10 + 
      3575*T1^9*T2^10 - 4095*T1^10*T2^10 + 1840*T1^11*T2^10 + 
      160*T1^12*T2^10 - 768*T1^5*T2^11 + 2110*T1^6*T2^11 - 3020*T1^7*T2^11 + 
      3140*T1^8*T2^11 - 2908*T1^9*T2^11 + 1840*T1^10*T2^11 - 
      482*T1^11*T2^11 - 120*T1^12*T2^11 + 51*T1^6*T2^12 - 120*T1^7*T2^12 + 
      160*T1^8*T2^12 - 161*T1^9*T2^12 + 160*T1^10*T2^12 - 120*T1^11*T2^12 + 
      51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 878] -> {((1 - T + T^2)*(1 - T + T^2 - T^3 + T^4)^2)/
    T^5, (-4 + 12*T1 - 24*T1^2 + 36*T1^3 - 48*T1^4 + 52*T1^5 - 48*T1^6 + 
     36*T1^7 - 24*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 45*T1^2*T2 - 
     54*T1^3*T2 + 63*T1^4*T2 - 48*T1^5*T2 + 27*T1^6*T2 - 9*T1^8*T2 + 
     18*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 24*T2^2 + 45*T1*T2^2 - 
     76*T1^2*T2^2 + 92*T1^3*T2^2 - 120*T1^4*T2^2 + 102*T1^5*T2^2 - 
     90*T1^6*T2^2 + 54*T1^7*T2^2 - 48*T1^8*T2^2 + 20*T1^9*T2^2 - 
     16*T1^10*T2^2 + 9*T1^11*T2^2 - 12*T1^12*T2^2 + 36*T2^3 - 54*T1*T2^3 + 
     92*T1^2*T2^3 - 101*T1^3*T2^3 + 137*T1^4*T2^3 - 98*T1^5*T2^3 + 
     89*T1^6*T2^3 - 28*T1^7*T2^3 + 37*T1^8*T2^3 + 2*T1^9*T2^3 + 
     7*T1^10*T2^3 + 2*T1^11*T2^3 + 9*T1^12*T2^3 + 9*T1^13*T2^3 - 48*T2^4 + 
     63*T1*T2^4 - 120*T1^2*T2^4 + 137*T1^3*T2^4 - 202*T1^4*T2^4 + 
     158*T1^5*T2^4 - 162*T1^6*T2^4 + 68*T1^7*T2^4 - 90*T1^8*T2^4 + 
     2*T1^9*T2^4 + 2*T1^10*T2^4 - 25*T1^11*T2^4 + 6*T1^12*T2^4 - 
     27*T1^13*T2^4 + 52*T2^5 - 48*T1*T2^5 + 102*T1^2*T2^5 - 98*T1^3*T2^5 + 
     158*T1^4*T2^5 - 83*T1^5*T2^5 + 89*T1^6*T2^5 + 12*T1^7*T2^5 + 
     69*T1^8*T2^5 + 32*T1^9*T2^5 + 17*T1^10*T2^5 - 28*T1^11*T2^5 + 
     55*T1^12*T2^5 - 18*T1^13*T2^5 + 39*T1^14*T2^5 - 13*T1^15*T2^5 - 
     48*T2^6 + 27*T1*T2^6 - 90*T1^2*T2^6 + 89*T1^3*T2^6 - 162*T1^4*T2^6 + 
     89*T1^5*T2^6 - 122*T1^6*T2^6 + 38*T1^7*T2^6 - 136*T1^8*T2^6 - 
     34*T1^9*T2^6 - 26*T1^10*T2^6 + 5*T1^11*T2^6 + 18*T1^12*T2^6 - 
     55*T1^13*T2^6 + 18*T1^14*T2^6 - 33*T1^15*T2^6 + 24*T1^16*T2^6 + 
     36*T2^7 + 54*T1^2*T2^7 - 28*T1^3*T2^7 + 68*T1^4*T2^7 + 12*T1^5*T2^7 + 
     38*T1^6*T2^7 + 3*T1^7*T2^7 + 115*T1^8*T2^7 + 34*T1^9*T2^7 + 
     111*T1^10*T2^7 - 88*T1^11*T2^7 + 39*T1^12*T2^7 - 40*T1^13*T2^7 + 
     53*T1^14*T2^7 - 18*T1^15*T2^7 + 9*T1^16*T2^7 - 27*T1^17*T2^7 - 24*T2^8 - 
     9*T1*T2^8 - 48*T1^2*T2^8 + 37*T1^3*T2^8 - 90*T1^4*T2^8 + 69*T1^5*T2^8 - 
     136*T1^6*T2^8 + 115*T1^7*T2^8 - 158*T1^8*T2^8 - 8*T1^9*T2^8 - 
     98*T1^10*T2^8 - 11*T1^11*T2^8 + 98*T1^12*T2^8 - 33*T1^13*T2^8 + 
     54*T1^14*T2^8 - 53*T1^15*T2^8 + 42*T1^16*T2^8 + 9*T1^17*T2^8 + 
     24*T1^18*T2^8 + 12*T2^9 + 18*T1*T2^9 + 20*T1^2*T2^9 + 2*T1^3*T2^9 + 
     2*T1^4*T2^9 + 32*T1^5*T2^9 - 34*T1^6*T2^9 + 34*T1^7*T2^9 - 8*T1^8*T2^9 + 
     19*T1^9*T2^9 + 139*T1^10*T2^9 - 80*T1^11*T2^9 + 25*T1^12*T2^9 - 
     124*T1^13*T2^9 - 19*T1^14*T2^9 + 8*T1^15*T2^9 - 25*T1^16*T2^9 - 
     34*T1^17*T2^9 - 27*T1^18*T2^9 - 15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 - 
     16*T1^2*T2^10 + 7*T1^3*T2^10 + 2*T1^4*T2^10 + 17*T1^5*T2^10 - 
     26*T1^6*T2^10 + 111*T1^7*T2^10 - 98*T1^8*T2^10 + 139*T1^9*T2^10 - 
     120*T1^10*T2^10 - 35*T1^11*T2^10 + 178*T1^12*T2^10 - 87*T1^13*T2^10 + 
     274*T1^14*T2^10 - 113*T1^15*T2^10 + 86*T1^16*T2^10 + 25*T1^17*T2^10 + 
     44*T1^18*T2^10 + 27*T1^19*T2^10 + 6*T1^20*T2^10 + 9*T1*T2^11 + 
     9*T1^2*T2^11 + 2*T1^3*T2^11 - 25*T1^4*T2^11 - 28*T1^5*T2^11 + 
     5*T1^6*T2^11 - 88*T1^7*T2^11 - 11*T1^8*T2^11 - 80*T1^9*T2^11 - 
     35*T1^10*T2^11 + 85*T1^11*T2^11 - 152*T1^12*T2^11 - 20*T1^13*T2^11 - 
     178*T1^14*T2^11 - 46*T1^15*T2^11 - 22*T1^16*T2^11 - 52*T1^17*T2^11 - 
     52*T1^18*T2^11 - 36*T1^19*T2^11 - 18*T1^20*T2^11 - 12*T1^2*T2^12 + 
     9*T1^3*T2^12 + 6*T1^4*T2^12 + 55*T1^5*T2^12 + 18*T1^6*T2^12 + 
     39*T1^7*T2^12 + 98*T1^8*T2^12 + 25*T1^9*T2^12 + 178*T1^10*T2^12 - 
     152*T1^11*T2^12 + 238*T1^12*T2^12 - 101*T1^13*T2^12 + 332*T1^14*T2^12 - 
     63*T1^15*T2^12 + 162*T1^16*T2^12 - 35*T1^17*T2^12 + 96*T1^18*T2^12 + 
     27*T1^19*T2^12 + 36*T1^20*T2^12 + 9*T1^3*T2^13 - 27*T1^4*T2^13 - 
     18*T1^5*T2^13 - 55*T1^6*T2^13 - 40*T1^7*T2^13 - 33*T1^8*T2^13 - 
     124*T1^9*T2^13 - 87*T1^10*T2^13 - 20*T1^11*T2^13 - 101*T1^12*T2^13 + 
     21*T1^13*T2^13 - 250*T1^14*T2^13 - 6*T1^15*T2^13 - 148*T1^16*T2^13 + 
     26*T1^17*T2^13 - 90*T1^18*T2^13 - 18*T1^19*T2^13 - 54*T1^20*T2^13 + 
     39*T1^5*T2^14 + 18*T1^6*T2^14 + 53*T1^7*T2^14 + 54*T1^8*T2^14 - 
     19*T1^9*T2^14 + 274*T1^10*T2^14 - 178*T1^11*T2^14 + 332*T1^12*T2^14 - 
     250*T1^13*T2^14 + 370*T1^14*T2^14 - 103*T1^15*T2^14 + 234*T1^16*T2^14 - 
     91*T1^17*T2^14 + 126*T1^18*T2^14 - 21*T1^19*T2^14 + 72*T1^20*T2^14 - 
     13*T1^5*T2^15 - 33*T1^6*T2^15 - 18*T1^7*T2^15 - 53*T1^8*T2^15 + 
     8*T1^9*T2^15 - 113*T1^10*T2^15 - 46*T1^11*T2^15 - 63*T1^12*T2^15 - 
     6*T1^13*T2^15 - 103*T1^14*T2^15 - 13*T1^15*T2^15 - 178*T1^16*T2^15 + 
     100*T1^17*T2^15 - 138*T1^18*T2^15 + 54*T1^19*T2^15 - 78*T1^20*T2^15 + 
     24*T1^6*T2^16 + 9*T1^7*T2^16 + 42*T1^8*T2^16 - 25*T1^9*T2^16 + 
     86*T1^10*T2^16 - 22*T1^11*T2^16 + 162*T1^12*T2^16 - 148*T1^13*T2^16 + 
     234*T1^14*T2^16 - 178*T1^15*T2^16 + 290*T1^16*T2^16 - 187*T1^17*T2^16 + 
     168*T1^18*T2^16 - 81*T1^19*T2^16 + 72*T1^20*T2^16 - 27*T1^7*T2^17 + 
     9*T1^8*T2^17 - 34*T1^9*T2^17 + 25*T1^10*T2^17 - 52*T1^11*T2^17 - 
     35*T1^12*T2^17 + 26*T1^13*T2^17 - 91*T1^14*T2^17 + 100*T1^15*T2^17 - 
     187*T1^16*T2^17 + 133*T1^17*T2^17 - 124*T1^18*T2^17 + 72*T1^19*T2^17 - 
     54*T1^20*T2^17 + 24*T1^8*T2^18 - 27*T1^9*T2^18 + 44*T1^10*T2^18 - 
     52*T1^11*T2^18 + 96*T1^12*T2^18 - 90*T1^13*T2^18 + 126*T1^14*T2^18 - 
     138*T1^15*T2^18 + 168*T1^16*T2^18 - 124*T1^17*T2^18 + 104*T1^18*T2^18 - 
     63*T1^19*T2^18 + 36*T1^20*T2^18 - 15*T1^9*T2^19 + 27*T1^10*T2^19 - 
     36*T1^11*T2^19 + 27*T1^12*T2^19 - 18*T1^13*T2^19 - 21*T1^14*T2^19 + 
     54*T1^15*T2^19 - 81*T1^16*T2^19 + 72*T1^17*T2^19 - 63*T1^18*T2^19 + 
     39*T1^19*T2^19 - 18*T1^20*T2^19 + 6*T1^10*T2^20 - 18*T1^11*T2^20 + 
     36*T1^12*T2^20 - 54*T1^13*T2^20 + 72*T1^14*T2^20 - 78*T1^15*T2^20 + 
     72*T1^16*T2^20 - 54*T1^17*T2^20 + 36*T1^18*T2^20 - 18*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 879] -> 
  {((2 - 3*T + 3*T^2 - 2*T^3 + T^4)*(1 - 2*T + 3*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-31 + 109*T1 - 234*T1^2 + 359*T1^3 - 421*T1^4 + 359*T1^5 - 234*T1^6 + 
     109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 537*T1^2*T2 - 649*T1^3*T2 + 
     540*T1^4*T2 - 160*T1^5*T2 - 117*T1^6*T2 + 229*T1^7*T2 - 176*T1^8*T2 + 
     81*T1^9*T2 - 234*T2^2 + 537*T1*T2^2 - 884*T1^2*T2^2 + 973*T1^3*T2^2 - 
     742*T1^4*T2^2 + 150*T1^5*T2^2 - 22*T1^6*T2^2 + 13*T1^7*T2^2 - 
     104*T1^8*T2^2 + 117*T1^9*T2^2 - 114*T1^10*T2^2 + 359*T2^3 - 
     649*T1*T2^3 + 973*T1^2*T2^3 - 875*T1^3*T2^3 + 477*T1^4*T2^3 + 
     180*T1^5*T2^3 + 174*T1^6*T2^3 - 225*T1^7*T2^3 + 265*T1^8*T2^3 - 
     152*T1^9*T2^3 + 107*T1^10*T2^3 + 83*T1^11*T2^3 - 421*T2^4 + 
     540*T1*T2^4 - 742*T1^2*T2^4 + 477*T1^3*T2^4 - 134*T1^4*T2^4 - 
     245*T1^5*T2^4 - 586*T1^6*T2^4 + 163*T1^7*T2^4 + 114*T1^8*T2^4 - 
     305*T1^9*T2^4 + 244*T1^10*T2^4 - 328*T1^11*T2^4 + 11*T1^12*T2^4 + 
     359*T2^5 - 160*T1*T2^5 + 150*T1^2*T2^5 + 180*T1^3*T2^5 - 245*T1^4*T2^5 + 
     102*T1^5*T2^5 + 900*T1^6*T2^5 + 136*T1^7*T2^5 - 316*T1^8*T2^5 + 
     130*T1^9*T2^5 + 70*T1^10*T2^5 - 21*T1^11*T2^5 + 316*T1^12*T2^5 - 
     101*T1^13*T2^5 - 234*T2^6 - 117*T1*T2^6 - 22*T1^2*T2^6 + 174*T1^3*T2^6 - 
     586*T1^4*T2^6 + 900*T1^5*T2^6 - 1038*T1^6*T2^6 - 796*T1^7*T2^6 + 
     718*T1^8*T2^6 - 100*T1^9*T2^6 - 8*T1^10*T2^6 + 24*T1^11*T2^6 - 
     210*T1^12*T2^6 - 89*T1^13*T2^6 + 126*T1^14*T2^6 + 109*T2^7 + 
     229*T1*T2^7 + 13*T1^2*T2^7 - 225*T1^3*T2^7 + 163*T1^4*T2^7 + 
     136*T1^5*T2^7 - 796*T1^6*T2^7 + 1863*T1^7*T2^7 - 525*T1^8*T2^7 - 
     733*T1^9*T2^7 + 428*T1^10*T2^7 - 344*T1^11*T2^7 + 157*T1^12*T2^7 + 
     148*T1^13*T2^7 - 135*T1^14*T2^7 - 87*T1^15*T2^7 - 31*T2^8 - 
     176*T1*T2^8 - 104*T1^2*T2^8 + 265*T1^3*T2^8 + 114*T1^4*T2^8 - 
     316*T1^5*T2^8 + 718*T1^6*T2^8 - 525*T1^7*T2^8 - 888*T1^8*T2^8 + 
     1369*T1^9*T2^8 + 8*T1^10*T2^8 - 60*T1^11*T2^8 + 310*T1^12*T2^8 - 
     245*T1^13*T2^8 + 118*T1^14*T2^8 + 188*T1^15*T2^8 + 33*T1^16*T2^8 + 
     81*T1*T2^9 + 117*T1^2*T2^9 - 152*T1^3*T2^9 - 305*T1^4*T2^9 + 
     130*T1^5*T2^9 - 100*T1^6*T2^9 - 733*T1^7*T2^9 + 1369*T1^8*T2^9 - 
     1019*T1^9*T2^9 - 670*T1^10*T2^9 + 192*T1^11*T2^9 - 377*T1^12*T2^9 + 
     77*T1^13*T2^9 - 17*T1^14*T2^9 - 247*T1^15*T2^9 - 115*T1^16*T2^9 - 
     114*T1^2*T2^10 + 107*T1^3*T2^10 + 244*T1^4*T2^10 + 70*T1^5*T2^10 - 
     8*T1^6*T2^10 + 428*T1^7*T2^10 + 8*T1^8*T2^10 - 670*T1^9*T2^10 + 
     1764*T1^10*T2^10 - 572*T1^11*T2^10 + 570*T1^12*T2^10 - 80*T1^13*T2^10 + 
     56*T1^14*T2^10 + 135*T1^15*T2^10 + 246*T1^16*T2^10 + 83*T1^3*T2^11 - 
     328*T1^4*T2^11 - 21*T1^5*T2^11 + 24*T1^6*T2^11 - 344*T1^7*T2^11 - 
     60*T1^8*T2^11 + 192*T1^9*T2^11 - 572*T1^10*T2^11 - 478*T1^11*T2^11 + 
     31*T1^12*T2^11 - 86*T1^13*T2^11 - 192*T1^14*T2^11 + 148*T1^15*T2^11 - 
     377*T1^16*T2^11 + 11*T1^4*T2^12 + 316*T1^5*T2^12 - 210*T1^6*T2^12 + 
     157*T1^7*T2^12 + 310*T1^8*T2^12 - 377*T1^9*T2^12 + 570*T1^10*T2^12 + 
     31*T1^11*T2^12 + 558*T1^12*T2^12 - 625*T1^13*T2^12 + 776*T1^14*T2^12 - 
     552*T1^15*T2^12 + 443*T1^16*T2^12 - 101*T1^5*T2^13 - 89*T1^6*T2^13 + 
     148*T1^7*T2^13 - 245*T1^8*T2^13 + 77*T1^9*T2^13 - 80*T1^10*T2^13 - 
     86*T1^11*T2^13 - 625*T1^12*T2^13 + 895*T1^13*T2^13 - 977*T1^14*T2^13 + 
     667*T1^15*T2^13 - 377*T1^16*T2^13 + 126*T1^6*T2^14 - 135*T1^7*T2^14 + 
     118*T1^8*T2^14 - 17*T1^9*T2^14 + 56*T1^10*T2^14 - 192*T1^11*T2^14 + 
     776*T1^12*T2^14 - 977*T1^13*T2^14 + 898*T1^14*T2^14 - 555*T1^15*T2^14 + 
     246*T1^16*T2^14 - 87*T1^7*T2^15 + 188*T1^8*T2^15 - 247*T1^9*T2^15 + 
     135*T1^10*T2^15 + 148*T1^11*T2^15 - 552*T1^12*T2^15 + 667*T1^13*T2^15 - 
     555*T1^14*T2^15 + 314*T1^15*T2^15 - 115*T1^16*T2^15 + 33*T1^8*T2^16 - 
     115*T1^9*T2^16 + 246*T1^10*T2^16 - 377*T1^11*T2^16 + 443*T1^12*T2^16 - 
     377*T1^13*T2^16 + 246*T1^14*T2^16 - 115*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 880] -> 
  {((2 - 3*T + 2*T^2)*(6 - 11*T + 6*T^2))/T^2, 
   (-2*(3768 - 12424*T1 + 17660*T1^2 - 12424*T1^3 + 3768*T1^4 - 12424*T2 + 
      31488*T1*T2 - 26916*T1^2*T2 - 3636*T1^3*T2 + 19008*T1^4*T2 - 
      9544*T1^5*T2 + 17660*T2^2 - 26916*T1*T2^2 - 11443*T1^2*T2^2 + 
      58400*T1^3*T2^2 - 42223*T1^4*T2^2 + 444*T1^5*T2^2 + 9452*T1^6*T2^2 - 
      12424*T2^3 - 3636*T1*T2^3 + 58400*T1^2*T2^3 - 70774*T1^3*T2^3 + 
      2366*T1^4*T2^3 + 40160*T1^5*T2^3 - 18756*T1^6*T2^3 - 3784*T1^7*T2^3 + 
      3768*T2^4 + 19008*T1*T2^4 - 42223*T1^2*T2^4 + 2366*T1^3*T2^4 + 
      66750*T1^4*T2^4 - 58114*T1^5*T2^4 + 5361*T1^6*T2^4 + 11328*T1^7*T2^4 + 
      312*T1^8*T2^4 - 9544*T1*T2^5 + 444*T1^2*T2^5 + 40160*T1^3*T2^5 - 
      58114*T1^4*T2^5 + 15026*T1^5*T2^5 + 21920*T1^6*T2^5 - 14676*T1^7*T2^5 - 
      904*T1^8*T2^5 + 9452*T1^2*T2^6 - 18756*T1^3*T2^6 + 5361*T1^4*T2^6 + 
      21920*T1^5*T2^6 - 25419*T1^6*T2^6 + 8604*T1^7*T2^6 + 1244*T1^8*T2^6 - 
      3784*T1^3*T2^7 + 11328*T1^4*T2^7 - 14676*T1^5*T2^7 + 8604*T1^6*T2^7 - 
      1152*T1^7*T2^7 - 904*T1^8*T2^7 + 312*T1^4*T2^8 - 904*T1^5*T2^8 + 
      1244*T1^6*T2^8 - 904*T1^7*T2^8 + 312*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 881] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 15*T^4 - 15*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-17 + 59*T1 - 110*T1^2 + 127*T1^3 - 127*T1^4 + 127*T1^5 - 
     110*T1^6 + 59*T1^7 - 17*T1^8 + 59*T2 - 174*T1*T2 + 275*T1^2*T2 - 
     241*T1^3*T2 + 210*T1^4*T2 - 210*T1^5*T2 + 151*T1^6*T2 - 5*T1^7*T2 - 
     48*T1^8*T2 + 31*T1^9*T2 - 110*T2^2 + 275*T1*T2^2 - 362*T1^2*T2^2 + 
     191*T1^3*T2^2 - 132*T1^4*T2^2 + 146*T1^5*T2^2 - 28*T1^6*T2^2 - 
     225*T1^7*T2^2 + 210*T1^8*T2^2 - 89*T1^9*T2^2 - 6*T1^10*T2^2 + 127*T2^3 - 
     241*T1*T2^3 + 191*T1^2*T2^3 + 153*T1^3*T2^3 - 151*T1^4*T2^3 + 
     40*T1^5*T2^3 - 170*T1^6*T2^3 + 417*T1^7*T2^3 - 137*T1^8*T2^3 - 
     160*T1^9*T2^3 + 207*T1^10*T2^3 - 53*T1^11*T2^3 - 127*T2^4 + 
     210*T1*T2^4 - 132*T1^2*T2^4 - 151*T1^3*T2^4 - 91*T1^4*T2^4 + 
     318*T1^5*T2^4 - 73*T1^6*T2^4 - 222*T1^7*T2^4 - 211*T1^8*T2^4 + 
     359*T1^9*T2^4 - 42*T1^10*T2^4 - 210*T1^11*T2^4 + 113*T1^12*T2^4 + 
     127*T2^5 - 210*T1*T2^5 + 146*T1^2*T2^5 + 40*T1^3*T2^5 + 318*T1^4*T2^5 - 
     496*T1^5*T2^5 + 94*T1^6*T2^5 + 64*T1^7*T2^5 + 584*T1^8*T2^5 - 
     477*T1^9*T2^5 - 50*T1^10*T2^5 + 11*T1^11*T2^5 + 210*T1^12*T2^5 - 
     173*T1^13*T2^5 - 110*T2^6 + 151*T1*T2^6 - 28*T1^2*T2^6 - 170*T1^3*T2^6 - 
     73*T1^4*T2^6 + 94*T1^5*T2^6 + 308*T1^6*T2^6 - 116*T1^7*T2^6 - 
     556*T1^8*T2^6 + 94*T1^9*T2^6 + 257*T1^10*T2^6 + 220*T1^11*T2^6 - 
     160*T1^12*T2^6 - 101*T1^13*T2^6 + 202*T1^14*T2^6 + 59*T2^7 - 5*T1*T2^7 - 
     225*T1^2*T2^7 + 417*T1^3*T2^7 - 222*T1^4*T2^7 + 64*T1^5*T2^7 - 
     116*T1^6*T2^7 - 505*T1^7*T2^7 + 907*T1^8*T2^7 - 225*T1^9*T2^7 + 
     154*T1^10*T2^7 - 447*T1^11*T2^7 - 383*T1^12*T2^7 + 516*T1^13*T2^7 - 
     229*T1^14*T2^7 - 137*T1^15*T2^7 - 17*T2^8 - 48*T1*T2^8 + 210*T1^2*T2^8 - 
     137*T1^3*T2^8 - 211*T1^4*T2^8 + 584*T1^5*T2^8 - 556*T1^6*T2^8 + 
     907*T1^7*T2^8 - 360*T1^8*T2^8 - 591*T1^9*T2^8 + 638*T1^10*T2^8 - 
     676*T1^11*T2^8 + 1497*T1^12*T2^8 - 627*T1^13*T2^8 - 80*T1^14*T2^8 + 
     316*T1^15*T2^8 + 47*T1^16*T2^8 + 31*T1*T2^9 - 89*T1^2*T2^9 - 
     160*T1^3*T2^9 + 359*T1^4*T2^9 - 477*T1^5*T2^9 + 94*T1^6*T2^9 - 
     225*T1^7*T2^9 - 591*T1^8*T2^9 + 821*T1^9*T2^9 - 334*T1^10*T2^9 + 
     184*T1^11*T2^9 - 702*T1^12*T2^9 - 441*T1^13*T2^9 + 581*T1^14*T2^9 - 
     313*T1^15*T2^9 - 165*T1^16*T2^9 - 6*T1^2*T2^10 + 207*T1^3*T2^10 - 
     42*T1^4*T2^10 - 50*T1^5*T2^10 + 257*T1^6*T2^10 + 154*T1^7*T2^10 + 
     638*T1^8*T2^10 - 334*T1^9*T2^10 - 226*T1^10*T2^10 + 154*T1^11*T2^10 + 
     587*T1^12*T2^10 + 340*T1^13*T2^10 - 174*T1^14*T2^10 - 45*T1^15*T2^10 + 
     306*T1^16*T2^10 - 53*T1^3*T2^11 - 210*T1^4*T2^11 + 11*T1^5*T2^11 + 
     220*T1^6*T2^11 - 447*T1^7*T2^11 - 676*T1^8*T2^11 + 184*T1^9*T2^11 + 
     154*T1^10*T2^11 + 404*T1^11*T2^11 - 1242*T1^12*T2^11 + 130*T1^13*T2^11 - 
     124*T1^14*T2^11 + 210*T1^15*T2^11 - 353*T1^16*T2^11 + 113*T1^4*T2^12 + 
     210*T1^5*T2^12 - 160*T1^6*T2^12 - 383*T1^7*T2^12 + 1497*T1^8*T2^12 - 
     702*T1^9*T2^12 + 587*T1^10*T2^12 - 1242*T1^11*T2^12 + 1377*T1^12*T2^12 + 
     127*T1^13*T2^12 - 70*T1^14*T2^12 - 210*T1^15*T2^12 + 353*T1^16*T2^12 - 
     173*T1^5*T2^13 - 101*T1^6*T2^13 + 516*T1^7*T2^13 - 627*T1^8*T2^13 - 
     441*T1^9*T2^13 + 340*T1^10*T2^13 + 130*T1^11*T2^13 + 127*T1^12*T2^13 - 
     917*T1^13*T2^13 + 165*T1^14*T2^13 + 347*T1^15*T2^13 - 353*T1^16*T2^13 + 
     202*T1^6*T2^14 - 229*T1^7*T2^14 - 80*T1^8*T2^14 + 581*T1^9*T2^14 - 
     174*T1^10*T2^14 - 124*T1^11*T2^14 - 70*T1^12*T2^14 + 165*T1^13*T2^14 + 
     492*T1^14*T2^14 - 593*T1^15*T2^14 + 306*T1^16*T2^14 - 137*T1^7*T2^15 + 
     316*T1^8*T2^15 - 313*T1^9*T2^15 - 45*T1^10*T2^15 + 210*T1^11*T2^15 - 
     210*T1^12*T2^15 + 347*T1^13*T2^15 - 593*T1^14*T2^15 + 442*T1^15*T2^15 - 
     165*T1^16*T2^15 + 47*T1^8*T2^16 - 165*T1^9*T2^16 + 306*T1^10*T2^16 - 
     353*T1^11*T2^16 + 353*T1^12*T2^16 - 353*T1^13*T2^16 + 306*T1^14*T2^16 - 
     165*T1^15*T2^16 + 47*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 882] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3, 
   (-128 + 512*T1 - 1064*T1^2 + 1328*T1^3 - 1064*T1^4 + 512*T1^5 - 128*T1^6 + 
     512*T2 - 1792*T1*T2 + 3228*T1^2*T2 - 3164*T1^3*T2 + 1572*T1^4*T2 + 
     92*T1^5*T2 - 512*T1^6*T2 + 256*T1^7*T2 - 1064*T2^2 + 3228*T1*T2^2 - 
     4848*T1^2*T2^2 + 2846*T1^3*T2^2 + 1228*T1^4*T2^2 - 3754*T1^5*T2^2 + 
     2808*T1^6*T2^2 - 996*T1^7*T2^2 - 8*T1^8*T2^2 + 1328*T2^3 - 
     3164*T1*T2^3 + 2846*T1^2*T2^3 + 2602*T1^3*T2^3 - 7806*T1^4*T2^3 + 
     7158*T1^5*T2^3 - 1130*T1^6*T2^3 - 2830*T1^7*T2^3 + 2596*T1^8*T2^3 - 
     640*T1^9*T2^3 - 1064*T2^4 + 1572*T1*T2^4 + 1228*T1^2*T2^4 - 
     7806*T1^3*T2^4 + 9086*T1^4*T2^4 - 1108*T1^5*T2^4 - 8402*T1^6*T2^4 + 
     8594*T1^7*T2^4 - 2340*T1^8*T2^4 - 1628*T1^9*T2^4 + 1048*T1^10*T2^4 + 
     512*T2^5 + 92*T1*T2^5 - 3754*T1^2*T2^5 + 7158*T1^3*T2^5 - 
     1108*T1^4*T2^5 - 12175*T1^5*T2^5 + 16731*T1^6*T2^5 - 6685*T1^7*T2^5 - 
     4934*T1^8*T2^5 + 5618*T1^9*T2^5 - 1124*T1^10*T2^5 - 768*T1^11*T2^5 - 
     128*T2^6 - 512*T1*T2^6 + 2808*T1^2*T2^6 - 1130*T1^3*T2^6 - 
     8402*T1^4*T2^6 + 16731*T1^5*T2^6 - 7668*T1^6*T2^6 - 9559*T1^7*T2^6 + 
     15944*T1^8*T2^6 - 6122*T1^9*T2^6 - 1696*T1^10*T2^6 + 2048*T1^11*T2^6 + 
     256*T1^12*T2^6 + 256*T1*T2^7 - 996*T1^2*T2^7 - 2830*T1^3*T2^7 + 
     8594*T1^4*T2^7 - 6685*T1^5*T2^7 - 9559*T1^6*T2^7 + 19347*T1^7*T2^7 - 
     12262*T1^8*T2^7 - 3498*T1^9*T2^7 + 6542*T1^10*T2^7 - 2212*T1^11*T2^7 - 
     1024*T1^12*T2^7 - 8*T1^2*T2^8 + 2596*T1^3*T2^8 - 2340*T1^4*T2^8 - 
     4934*T1^5*T2^8 + 15944*T1^6*T2^8 - 12262*T1^7*T2^8 - 1544*T1^8*T2^8 + 
     11466*T1^9*T2^8 - 5908*T1^10*T2^8 - 604*T1^11*T2^8 + 2104*T1^12*T2^8 - 
     640*T1^3*T2^9 - 1628*T1^4*T2^9 + 5618*T1^5*T2^9 - 6122*T1^6*T2^9 - 
     3498*T1^7*T2^9 + 11466*T1^8*T2^9 - 9854*T1^9*T2^9 - 58*T1^10*T2^9 + 
     4132*T1^11*T2^9 - 2608*T1^12*T2^9 + 1048*T1^4*T2^10 - 1124*T1^5*T2^10 - 
     1696*T1^6*T2^10 + 6542*T1^7*T2^10 - 5908*T1^8*T2^10 - 58*T1^9*T2^10 + 
     5960*T1^10*T2^10 - 5348*T1^11*T2^10 + 2104*T1^12*T2^10 - 
     768*T1^5*T2^11 + 2048*T1^6*T2^11 - 2212*T1^7*T2^11 - 604*T1^8*T2^11 + 
     4132*T1^9*T2^11 - 5348*T1^10*T2^11 + 3328*T1^11*T2^11 - 
     1024*T1^12*T2^11 + 256*T1^6*T2^12 - 1024*T1^7*T2^12 + 2104*T1^8*T2^12 - 
     2608*T1^9*T2^12 + 2104*T1^10*T2^12 - 1024*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 883] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-176 + 880*T1 - 1848*T1^2 + 2328*T1^3 - 1848*T1^4 + 880*T1^5 - 
      176*T1^6 + 880*T2 - 3840*T1*T2 + 6440*T1^2*T2 - 5760*T1^3*T2 + 
      1840*T1^4*T2 + 1480*T1^5*T2 - 1920*T1^6*T2 + 560*T1^7*T2 - 1848*T2^2 + 
      6440*T1*T2^2 - 5874*T1^2*T2^2 - 2598*T1^3*T2^2 + 12544*T1^4*T2^2 - 
      13686*T1^5*T2^2 + 6894*T1^6*T2^2 - 280*T1^7*T2^2 - 504*T1^8*T2^2 + 
      2328*T2^3 - 5760*T1*T2^3 - 2598*T1^2*T2^3 + 18772*T1^3*T2^3 - 
      26122*T1^4*T2^3 + 14246*T1^5*T2^3 + 2944*T1^6*T2^3 - 9150*T1^7*T2^3 + 
      3600*T1^8*T2^3 - 216*T1^9*T2^3 - 1848*T2^4 + 1840*T1*T2^4 + 
      12544*T1^2*T2^4 - 26122*T1^3*T2^4 + 16409*T1^4*T2^4 + 11841*T1^5*T2^4 - 
      28015*T1^6*T2^4 + 18822*T1^7*T2^4 - 1632*T1^8*T2^4 - 3120*T1^9*T2^4 + 
      840*T1^10*T2^4 + 880*T2^5 + 1480*T1*T2^5 - 13686*T1^2*T2^5 + 
      14246*T1^3*T2^5 + 11841*T1^4*T2^5 - 35928*T1^5*T2^5 + 28902*T1^6*T2^5 + 
      669*T1^7*T2^5 - 16970*T1^8*T2^5 + 11010*T1^9*T2^5 - 600*T1^10*T2^5 - 
      720*T1^11*T2^5 - 176*T2^6 - 1920*T1*T2^6 + 6894*T1^2*T2^6 + 
      2944*T1^3*T2^6 - 28015*T1^4*T2^6 + 28902*T1^5*T2^6 - 564*T1^6*T2^6 - 
      28642*T1^7*T2^6 + 25281*T1^8*T2^6 - 5504*T1^9*T2^6 - 6962*T1^10*T2^6 + 
      2560*T1^11*T2^6 + 208*T1^12*T2^6 + 560*T1*T2^7 - 280*T1^2*T2^7 - 
      9150*T1^3*T2^7 + 18822*T1^4*T2^7 + 669*T1^5*T2^7 - 28642*T1^6*T2^7 + 
      36188*T1^7*T2^7 - 10503*T1^8*T2^7 - 12394*T1^9*T2^7 + 
      15546*T1^10*T2^7 - 2360*T1^11*T2^7 - 1040*T1^12*T2^7 - 504*T1^2*T2^8 + 
      3600*T1^3*T2^8 - 1632*T1^4*T2^8 - 16970*T1^5*T2^8 + 25281*T1^6*T2^8 - 
      10503*T1^7*T2^8 - 19143*T1^8*T2^8 + 27974*T1^9*T2^8 - 
      15808*T1^10*T2^8 - 1360*T1^11*T2^8 + 2184*T1^12*T2^8 - 216*T1^3*T2^9 - 
      3120*T1^4*T2^9 + 11010*T1^5*T2^9 - 5504*T1^6*T2^9 - 12394*T1^7*T2^9 + 
      27974*T1^8*T2^9 - 21332*T1^9*T2^9 + 4458*T1^10*T2^9 + 6240*T1^11*T2^9 - 
      2760*T1^12*T2^9 + 840*T1^4*T2^10 - 600*T1^5*T2^10 - 6962*T1^6*T2^10 + 
      15546*T1^7*T2^10 - 15808*T1^8*T2^10 + 4458*T1^9*T2^10 + 
      5806*T1^10*T2^10 - 7320*T1^11*T2^10 + 2184*T1^12*T2^10 - 
      720*T1^5*T2^11 + 2560*T1^6*T2^11 - 2360*T1^7*T2^11 - 1360*T1^8*T2^11 + 
      6240*T1^9*T2^11 - 7320*T1^10*T2^11 + 4480*T1^11*T2^11 - 
      1040*T1^12*T2^11 + 208*T1^6*T2^12 - 1040*T1^7*T2^12 + 2184*T1^8*T2^12 - 
      2760*T1^9*T2^12 + 2184*T1^10*T2^12 - 1040*T1^11*T2^12 + 
      208*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 884] -> 
  {-((1 - 9*T + 33*T^2 - 66*T^3 + 81*T^4 - 66*T^5 + 33*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 165*T1^2 + 330*T1^3 - 405*T1^4 + 330*T1^5 - 
      165*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1160*T1^2*T2 - 
      1779*T1^3*T2 + 1267*T1^4*T2 - 56*T1^5*T2 - 888*T1^6*T2 + 782*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 165*T2^2 + 1160*T1*T2^2 - 2627*T1^2*T2^2 + 
      1119*T1^3*T2^2 + 4640*T1^4*T2^2 - 8663*T1^5*T2^2 + 7808*T1^6*T2^2 - 
      2643*T1^7*T2^2 - 515*T1^8*T2^2 + 566*T1^9*T2^2 - 99*T1^10*T2^2 + 
      330*T2^3 - 1779*T1*T2^3 + 1119*T1^2*T2^3 + 9325*T1^3*T2^3 - 
      23048*T1^4*T2^3 + 19803*T1^5*T2^3 - 4254*T1^6*T2^3 - 11465*T1^7*T2^3 + 
      10117*T1^8*T2^3 - 2445*T1^9*T2^3 - 294*T1^10*T2^3 + 132*T1^11*T2^3 - 
      405*T2^4 + 1267*T1*T2^4 + 4640*T1^2*T2^4 - 23048*T1^3*T2^4 + 
      26604*T1^4*T2^4 + 10426*T1^5*T2^4 - 44092*T1^6*T2^4 + 48982*T1^7*T2^4 - 
      15192*T1^8*T2^4 - 6416*T1^9*T2^4 + 4640*T1^10*T2^4 - 461*T1^11*T2^4 - 
      81*T1^12*T2^4 + 330*T2^5 - 56*T1*T2^5 - 8663*T1^2*T2^5 + 
      19803*T1^3*T2^5 + 10426*T1^4*T2^5 - 77263*T1^5*T2^5 + 83676*T1^6*T2^5 - 
      33837*T1^7*T2^5 - 36361*T1^8*T2^5 + 38749*T1^9*T2^5 - 8808*T1^10*T2^5 - 
      2048*T1^11*T2^5 + 727*T1^12*T2^5 - 165*T2^6 - 888*T1*T2^6 + 
      7808*T1^2*T2^6 - 4254*T1^3*T2^6 - 44092*T1^4*T2^6 + 83676*T1^5*T2^6 - 
      14613*T1^6*T2^6 - 75189*T1^7*T2^6 + 112899*T1^8*T2^6 - 
      44034*T1^9*T2^6 - 13798*T1^10*T2^6 + 12972*T1^11*T2^6 - 
      1696*T1^12*T2^6 - 294*T1^13*T2^6 + 33*T1^14*T2^6 + 45*T2^7 + 
      782*T1*T2^7 - 2643*T1^2*T2^7 - 11465*T1^3*T2^7 + 48982*T1^4*T2^7 - 
      33837*T1^5*T2^7 - 75189*T1^6*T2^7 + 125408*T1^7*T2^7 - 
      75328*T1^8*T2^7 - 36579*T1^9*T2^7 + 63282*T1^10*T2^7 - 
      20273*T1^11*T2^7 - 2852*T1^12*T2^7 + 2109*T1^13*T2^7 - 136*T1^14*T2^7 - 
      18*T1^15*T2^7 - 5*T2^8 - 279*T1*T2^8 - 515*T1^2*T2^8 + 
      10117*T1^3*T2^8 - 15192*T1^4*T2^8 - 36361*T1^5*T2^8 + 
      112899*T1^6*T2^8 - 75328*T1^7*T2^8 - 35016*T1^8*T2^8 + 
      110036*T1^9*T2^8 - 67017*T1^10*T2^8 - 6235*T1^11*T2^8 + 
      18720*T1^12*T2^8 - 4865*T1^13*T2^8 - 269*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 566*T1^2*T2^9 - 2445*T1^3*T2^9 - 
      6416*T1^4*T2^9 + 38749*T1^5*T2^9 - 44034*T1^6*T2^9 - 36579*T1^7*T2^9 + 
      110036*T1^8*T2^9 - 90700*T1^9*T2^9 + 2031*T1^10*T2^9 + 
      53085*T1^11*T2^9 - 30506*T1^12*T2^9 + 2197*T1^13*T2^9 + 
      2307*T1^14*T2^9 - 352*T1^15*T2^9 - 27*T1^16*T2^9 - 99*T1^2*T2^10 - 
      294*T1^3*T2^10 + 4640*T1^4*T2^10 - 8808*T1^5*T2^10 - 13798*T1^6*T2^10 + 
      63282*T1^7*T2^10 - 67017*T1^8*T2^10 + 2031*T1^9*T2^10 + 
      60495*T1^10*T2^10 - 64428*T1^11*T2^10 + 16496*T1^12*T2^10 + 
      8418*T1^13*T2^10 - 4864*T1^14*T2^10 + 300*T1^15*T2^10 + 
      99*T1^16*T2^10 + 132*T1^3*T2^11 - 461*T1^4*T2^11 - 2048*T1^5*T2^11 + 
      12972*T1^6*T2^11 - 20273*T1^7*T2^11 - 6235*T1^8*T2^11 + 
      53085*T1^9*T2^11 - 64428*T1^10*T2^11 + 34667*T1^11*T2^11 + 
      8050*T1^12*T2^11 - 15639*T1^13*T2^11 + 4567*T1^14*T2^11 + 
      322*T1^15*T2^11 - 198*T1^16*T2^11 - 81*T1^4*T2^12 + 727*T1^5*T2^12 - 
      1696*T1^6*T2^12 - 2852*T1^7*T2^12 + 18720*T1^8*T2^12 - 
      30506*T1^9*T2^12 + 16496*T1^10*T2^12 + 8050*T1^11*T2^12 - 
      23076*T1^12*T2^12 + 13780*T1^13*T2^12 - 1696*T1^14*T2^12 - 
      1001*T1^15*T2^12 + 243*T1^16*T2^12 - 294*T1^6*T2^13 + 2109*T1^7*T2^13 - 
      4865*T1^8*T2^13 + 2197*T1^9*T2^13 + 8418*T1^10*T2^13 - 
      15639*T1^11*T2^13 + 13780*T1^12*T2^13 - 4073*T1^13*T2^13 - 
      1455*T1^14*T2^13 + 1191*T1^15*T2^13 - 198*T1^16*T2^13 + 33*T1^6*T2^14 - 
      136*T1^7*T2^14 - 269*T1^8*T2^14 + 2307*T1^9*T2^14 - 4864*T1^10*T2^14 + 
      4567*T1^11*T2^14 - 1696*T1^12*T2^14 - 1455*T1^13*T2^14 + 
      1843*T1^14*T2^14 - 730*T1^15*T2^14 + 99*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 352*T1^9*T2^15 + 300*T1^10*T2^15 + 322*T1^11*T2^15 - 
      1001*T1^12*T2^15 + 1191*T1^13*T2^15 - 730*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      99*T1^10*T2^16 - 198*T1^11*T2^16 + 243*T1^12*T2^16 - 198*T1^13*T2^16 + 
      99*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 885] -> 
  {-((1 - 9*T + 32*T^2 - 63*T^3 + 77*T^4 - 63*T^5 + 32*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 160*T1^2 + 315*T1^3 - 385*T1^4 + 315*T1^5 - 
      160*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1115*T1^2*T2 - 
      1680*T1^3*T2 + 1195*T1^4*T2 - 65*T1^5*T2 - 825*T1^6*T2 + 746*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 160*T2^2 + 1115*T1*T2^2 - 2298*T1^2*T2^2 + 
      596*T1^3*T2^2 + 4935*T1^4*T2^2 - 8698*T1^5*T2^2 + 7815*T1^6*T2^2 - 
      2860*T1^7*T2^2 - 314*T1^8*T2^2 + 539*T1^9*T2^2 - 96*T1^10*T2^2 + 
      315*T2^3 - 1680*T1*T2^3 + 596*T1^2*T2^3 + 9227*T1^3*T2^3 - 
      21519*T1^4*T2^3 + 18326*T1^5*T2^3 - 4039*T1^6*T2^3 - 10413*T1^7*T2^3 + 
      9515*T1^8*T2^3 - 2572*T1^9*T2^3 - 267*T1^10*T2^3 + 126*T1^11*T2^3 - 
      385*T2^4 + 1195*T1*T2^4 + 4935*T1^2*T2^4 - 21519*T1^3*T2^4 + 
      24816*T1^4*T2^4 + 7194*T1^5*T2^4 - 36582*T1^6*T2^4 + 41592*T1^7*T2^4 - 
      13012*T1^8*T2^4 - 5769*T1^9*T2^4 + 4585*T1^10*T2^4 - 443*T1^11*T2^4 - 
      77*T1^12*T2^4 + 315*T2^5 - 65*T1*T2^5 - 8698*T1^2*T2^5 + 
      18326*T1^3*T2^5 + 7194*T1^4*T2^5 - 63734*T1^5*T2^5 + 69476*T1^6*T2^5 - 
      28174*T1^7*T2^5 - 30848*T1^8*T2^5 + 33339*T1^9*T2^5 - 8197*T1^10*T2^5 - 
      2083*T1^11*T2^5 + 691*T1^12*T2^5 - 160*T2^6 - 825*T1*T2^6 + 
      7815*T1^2*T2^6 - 4039*T1^3*T2^6 - 36582*T1^4*T2^6 + 69476*T1^5*T2^6 - 
      11710*T1^6*T2^6 - 62610*T1^7*T2^6 + 93530*T1^8*T2^6 - 36364*T1^9*T2^6 - 
      11914*T1^10*T2^6 + 12089*T1^11*T2^6 - 1525*T1^12*T2^6 - 
      285*T1^13*T2^6 + 32*T1^14*T2^6 + 45*T2^7 + 746*T1*T2^7 - 
      2860*T1^2*T2^7 - 10413*T1^3*T2^7 + 41592*T1^4*T2^7 - 28174*T1^5*T2^7 - 
      62610*T1^6*T2^7 + 102892*T1^7*T2^7 - 60098*T1^8*T2^7 - 
      31749*T1^9*T2^7 + 53096*T1^10*T2^7 - 17565*T1^11*T2^7 - 
      2943*T1^12*T2^7 + 2036*T1^13*T2^7 - 127*T1^14*T2^7 - 18*T1^15*T2^7 - 
      5*T2^8 - 279*T1*T2^8 - 314*T1^2*T2^8 + 9515*T1^3*T2^8 - 
      13012*T1^4*T2^8 - 30848*T1^5*T2^8 + 93530*T1^6*T2^8 - 60098*T1^7*T2^8 - 
      31584*T1^8*T2^8 + 90922*T1^9*T2^8 - 54188*T1^10*T2^8 - 
      5900*T1^11*T2^8 + 16616*T1^12*T2^8 - 4363*T1^13*T2^8 - 336*T1^14*T2^8 + 
      135*T1^15*T2^8 + 3*T1^16*T2^8 + 36*T1*T2^9 + 539*T1^2*T2^9 - 
      2572*T1^3*T2^9 - 5769*T1^4*T2^9 + 33339*T1^5*T2^9 - 36364*T1^6*T2^9 - 
      31749*T1^7*T2^9 + 90922*T1^8*T2^9 - 72068*T1^9*T2^9 - 888*T1^10*T2^9 + 
      44906*T1^11*T2^9 - 25818*T1^12*T2^9 + 1701*T1^13*T2^9 + 
      2324*T1^14*T2^9 - 334*T1^15*T2^9 - 27*T1^16*T2^9 - 96*T1^2*T2^10 - 
      267*T1^3*T2^10 + 4585*T1^4*T2^10 - 8197*T1^5*T2^10 - 11914*T1^6*T2^10 + 
      53096*T1^7*T2^10 - 54188*T1^8*T2^10 - 888*T1^9*T2^10 + 
      51052*T1^10*T2^10 - 52744*T1^11*T2^10 + 12754*T1^12*T2^10 + 
      7931*T1^13*T2^10 - 4755*T1^14*T2^10 + 273*T1^15*T2^10 + 
      96*T1^16*T2^10 + 126*T1^3*T2^11 - 443*T1^4*T2^11 - 2083*T1^5*T2^11 + 
      12089*T1^6*T2^11 - 17565*T1^7*T2^11 - 5900*T1^8*T2^11 + 
      44906*T1^9*T2^11 - 52744*T1^10*T2^11 + 26986*T1^11*T2^11 + 
      8580*T1^12*T2^11 - 14434*T1^13*T2^11 + 4532*T1^14*T2^11 + 
      313*T1^15*T2^11 - 189*T1^16*T2^11 - 77*T1^4*T2^12 + 691*T1^5*T2^12 - 
      1525*T1^6*T2^12 - 2943*T1^7*T2^12 + 16616*T1^8*T2^12 - 
      25818*T1^9*T2^12 + 12754*T1^10*T2^12 + 8580*T1^11*T2^12 - 
      21212*T1^12*T2^12 + 12807*T1^13*T2^12 - 1875*T1^14*T2^12 - 
      947*T1^15*T2^12 + 231*T1^16*T2^12 - 285*T1^6*T2^13 + 2036*T1^7*T2^13 - 
      4363*T1^8*T2^13 + 1701*T1^9*T2^13 + 7931*T1^10*T2^13 - 
      14434*T1^11*T2^13 + 12807*T1^12*T2^13 - 4075*T1^13*T2^13 - 
      1132*T1^14*T2^13 + 1128*T1^15*T2^13 - 189*T1^16*T2^13 + 32*T1^6*T2^14 - 
      127*T1^7*T2^14 - 336*T1^8*T2^14 + 2324*T1^9*T2^14 - 4755*T1^10*T2^14 + 
      4532*T1^11*T2^14 - 1875*T1^12*T2^14 - 1132*T1^13*T2^14 + 
      1648*T1^14*T2^14 - 703*T1^15*T2^14 + 96*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 334*T1^9*T2^15 + 273*T1^10*T2^15 + 313*T1^11*T2^15 - 
      947*T1^12*T2^15 + 1128*T1^13*T2^15 - 703*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      96*T1^10*T2^16 - 189*T1^11*T2^16 + 231*T1^12*T2^16 - 189*T1^13*T2^16 + 
      96*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 886] -> 
  {-((1 - 7*T + 24*T^2 - 45*T^3 + 53*T^4 - 45*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 72*T1^2 + 135*T1^3 - 159*T1^4 + 135*T1^5 - 
      72*T1^6 + 21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 406*T1^2*T2 - 
      609*T1^3*T2 + 483*T1^4*T2 - 203*T1^5*T2 - 126*T1^6*T2 + 189*T1^7*T2 - 
      77*T1^8*T2 + 14*T1^9*T2 - 72*T2^2 + 406*T1*T2^2 - 1065*T1^2*T2^2 + 
      1066*T1^3*T2^2 - 21*T1^4*T2^2 - 823*T1^5*T2^2 + 1371*T1^6*T2^2 - 
      758*T1^7*T2^2 + 39*T1^8*T2^2 + 70*T1^9*T2^2 - 24*T1^10*T2^2 + 
      135*T2^3 - 609*T1*T2^3 + 1066*T1^2*T2^3 + 705*T1^3*T2^3 - 
      3719*T1^4*T2^3 + 4077*T1^5*T2^3 - 3072*T1^6*T2^3 - 227*T1^7*T2^3 + 
      1707*T1^8*T2^3 - 830*T1^9*T2^3 + 168*T1^10*T2^3 - 159*T2^4 + 
      483*T1*T2^4 - 21*T1^2*T2^4 - 3719*T1^3*T2^4 + 6136*T1^4*T2^4 - 
      1535*T1^5*T2^4 - 3476*T1^6*T2^4 + 8679*T1^7*T2^4 - 6780*T1^8*T2^4 + 
      1231*T1^9*T2^4 + 657*T1^10*T2^4 - 371*T1^11*T2^4 + 53*T1^12*T2^4 + 
      135*T2^5 - 203*T1*T2^5 - 823*T1^2*T2^5 + 4077*T1^3*T2^5 - 
      1535*T1^4*T2^5 - 10634*T1^5*T2^5 + 17611*T1^6*T2^5 - 18407*T1^7*T2^5 + 
      7456*T1^8*T2^5 + 4258*T1^9*T2^5 - 3870*T1^10*T2^5 + 488*T1^11*T2^5 + 
      259*T1^12*T2^5 - 90*T1^13*T2^5 - 72*T2^6 - 126*T1*T2^6 + 
      1371*T1^2*T2^6 - 3072*T1^3*T2^6 - 3476*T1^4*T2^6 + 17611*T1^5*T2^6 - 
      17793*T1^6*T2^6 + 6459*T1^7*T2^6 + 11415*T1^8*T2^6 - 20021*T1^9*T2^6 + 
      5968*T1^10*T2^6 + 2880*T1^11*T2^6 - 1449*T1^12*T2^6 + 126*T1^13*T2^6 + 
      72*T1^14*T2^6 + 21*T2^7 + 189*T1*T2^7 - 758*T1^2*T2^7 - 227*T1^3*T2^7 + 
      8679*T1^4*T2^7 - 18407*T1^5*T2^7 + 6459*T1^6*T2^7 + 13570*T1^7*T2^7 - 
      22248*T1^8*T2^7 + 14088*T1^9*T2^7 + 14383*T1^10*T2^7 - 
      14798*T1^11*T2^7 + 2113*T1^12*T2^7 + 706*T1^13*T2^7 - 308*T1^14*T2^7 - 
      28*T1^15*T2^7 - 3*T2^8 - 77*T1*T2^8 + 39*T1^2*T2^8 + 1707*T1^3*T2^8 - 
      6780*T1^4*T2^8 + 7456*T1^5*T2^8 + 11415*T1^6*T2^8 - 22248*T1^7*T2^8 + 
      5652*T1^8*T2^8 + 14356*T1^9*T2^8 - 35715*T1^10*T2^8 + 
      12148*T1^11*T2^8 + 7360*T1^12*T2^8 - 3675*T1^13*T2^8 + 477*T1^14*T2^8 + 
      161*T1^15*T2^8 + 5*T1^16*T2^8 + 14*T1*T2^9 + 70*T1^2*T2^9 - 
      830*T1^3*T2^9 + 1231*T1^4*T2^9 + 4258*T1^5*T2^9 - 20021*T1^6*T2^9 + 
      14088*T1^7*T2^9 + 14356*T1^8*T2^9 - 21462*T1^9*T2^9 + 
      21717*T1^10*T2^9 + 12769*T1^11*T2^9 - 19219*T1^12*T2^9 + 
      3571*T1^13*T2^9 + 634*T1^14*T2^9 - 427*T1^15*T2^9 - 35*T1^16*T2^9 - 
      24*T1^2*T2^10 + 168*T1^3*T2^10 + 657*T1^4*T2^10 - 3870*T1^5*T2^10 + 
      5968*T1^6*T2^10 + 14383*T1^7*T2^10 - 35715*T1^8*T2^10 + 
      21717*T1^9*T2^10 - 6507*T1^10*T2^10 - 23249*T1^11*T2^10 + 
      15412*T1^12*T2^10 + 2082*T1^13*T2^10 - 2163*T1^14*T2^10 + 
      420*T1^15*T2^10 + 120*T1^16*T2^10 - 371*T1^4*T2^11 + 488*T1^5*T2^11 + 
      2880*T1^6*T2^11 - 14798*T1^7*T2^11 + 12148*T1^8*T2^11 + 
      12769*T1^9*T2^11 - 23249*T1^10*T2^11 + 30238*T1^11*T2^11 - 
      9005*T1^12*T2^11 - 5067*T1^13*T2^11 + 1799*T1^14*T2^11 + 
      91*T1^15*T2^11 - 225*T1^16*T2^11 + 53*T1^4*T2^12 + 259*T1^5*T2^12 - 
      1449*T1^6*T2^12 + 2113*T1^7*T2^12 + 7360*T1^8*T2^12 - 
      19219*T1^9*T2^12 + 15412*T1^10*T2^12 - 9005*T1^11*T2^12 - 
      5556*T1^12*T2^12 + 7063*T1^13*T2^12 - 771*T1^14*T2^12 - 
      595*T1^15*T2^12 + 265*T1^16*T2^12 - 90*T1^5*T2^13 + 126*T1^6*T2^13 + 
      706*T1^7*T2^13 - 3675*T1^8*T2^13 + 3571*T1^9*T2^13 + 2082*T1^10*T2^13 - 
      5067*T1^11*T2^13 + 7063*T1^12*T2^13 - 2673*T1^13*T2^13 - 
      1190*T1^14*T2^13 + 903*T1^15*T2^13 - 225*T1^16*T2^13 + 72*T1^6*T2^14 - 
      308*T1^7*T2^14 + 477*T1^8*T2^14 + 634*T1^9*T2^14 - 2163*T1^10*T2^14 + 
      1799*T1^11*T2^14 - 771*T1^12*T2^14 - 1190*T1^13*T2^14 + 
      1581*T1^14*T2^14 - 644*T1^15*T2^14 + 120*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 427*T1^9*T2^15 + 420*T1^10*T2^15 + 91*T1^11*T2^15 - 
      595*T1^12*T2^15 + 903*T1^13*T2^15 - 644*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 120*T1^10*T2^16 - 
      225*T1^11*T2^16 + 265*T1^12*T2^16 - 225*T1^13*T2^16 + 120*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 887] -> 
  {((1 - 4*T + 6*T^2 - 5*T^3 + T^4)*(1 - 5*T + 6*T^2 - 4*T^3 + T^4))/T^4, 
   ((1 - 4*T1 + 6*T1^2 - 5*T1^3 + T1^4)*(1 - 5*T1 + 6*T1^2 - 4*T1^3 + T1^4)*
     (-1 + T1*T2)^2*(1 + T1*T2)*(1 - 4*T2 + 6*T2^2 - 5*T2^3 + T2^4)*
     (1 - 5*T2 + 6*T2^2 - 4*T2^3 + T2^4)*(4 - 19*T1*T2 + 26*T1^2*T2^2 - 
      19*T1^3*T2^3 + 4*T1^4*T2^4))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 888] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6))/T^4), 
   -((-5 + 45*T1 - 165*T1^2 + 335*T1^3 - 415*T1^4 + 335*T1^5 - 165*T1^6 + 
      45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1160*T1^2*T2 - 1824*T1^3*T2 + 
      1321*T1^4*T2 - 29*T1^5*T2 - 924*T1^6*T2 + 782*T1^7*T2 - 279*T1^8*T2 + 
      36*T1^9*T2 - 165*T2^2 + 1160*T1*T2^2 - 2625*T1^2*T2^2 + 
      1275*T1^3*T2^2 + 4648*T1^4*T2^2 - 9061*T1^5*T2^2 + 7948*T1^6*T2^2 - 
      2553*T1^7*T2^2 - 513*T1^8*T2^2 + 566*T1^9*T2^2 - 99*T1^10*T2^2 + 
      335*T2^3 - 1824*T1*T2^3 + 1275*T1^2*T2^3 + 8688*T1^3*T2^3 - 
      23176*T1^4*T2^3 + 20671*T1^5*T2^3 - 3779*T1^6*T2^3 - 11968*T1^7*T2^3 + 
      9882*T1^8*T2^3 - 2388*T1^9*T2^3 - 312*T1^10*T2^3 + 134*T1^11*T2^3 - 
      415*T2^4 + 1321*T1*T2^4 + 4648*T1^2*T2^4 - 23176*T1^3*T2^4 + 
      29737*T1^4*T2^4 + 6570*T1^5*T2^4 - 43797*T1^6*T2^4 + 47614*T1^7*T2^4 - 
      12987*T1^8*T2^4 - 6828*T1^9*T2^4 + 4750*T1^10*T2^4 - 461*T1^11*T2^4 - 
      83*T1^12*T2^4 + 335*T2^5 - 29*T1*T2^5 - 9061*T1^2*T2^5 + 
      20671*T1^3*T2^5 + 6570*T1^4*T2^5 - 76789*T1^5*T2^5 + 88711*T1^6*T2^5 - 
      32909*T1^7*T2^5 - 39081*T1^8*T2^5 + 38291*T1^9*T2^5 - 8727*T1^10*T2^5 - 
      2158*T1^11*T2^5 + 745*T1^12*T2^5 - 165*T2^6 - 924*T1*T2^6 + 
      7948*T1^2*T2^6 - 3779*T1^3*T2^6 - 43797*T1^4*T2^6 + 88711*T1^5*T2^6 - 
      19282*T1^6*T2^6 - 84298*T1^7*T2^6 + 121058*T1^8*T2^6 - 
      44495*T1^9*T2^6 - 13671*T1^10*T2^6 + 13249*T1^11*T2^6 - 
      1748*T1^12*T2^6 - 294*T1^13*T2^6 + 33*T1^14*T2^6 + 45*T2^7 + 
      782*T1*T2^7 - 2553*T1^2*T2^7 - 11968*T1^3*T2^7 + 47614*T1^4*T2^7 - 
      32909*T1^5*T2^7 - 84298*T1^6*T2^7 + 147066*T1^7*T2^7 - 
      85524*T1^8*T2^7 - 39533*T1^9*T2^7 + 65539*T1^10*T2^7 - 
      21399*T1^11*T2^7 - 2616*T1^12*T2^7 + 2100*T1^13*T2^7 - 136*T1^14*T2^7 - 
      18*T1^15*T2^7 - 5*T2^8 - 279*T1*T2^8 - 513*T1^2*T2^8 + 9882*T1^3*T2^8 - 
      12987*T1^4*T2^8 - 39081*T1^5*T2^8 + 121058*T1^6*T2^8 - 
      85524*T1^7*T2^8 - 42588*T1^8*T2^8 + 126208*T1^9*T2^8 - 
      74772*T1^10*T2^8 - 3835*T1^11*T2^8 + 18061*T1^12*T2^8 - 
      4842*T1^13*T2^8 - 267*T1^14*T2^8 + 135*T1^15*T2^8 + 3*T1^16*T2^8 + 
      36*T1*T2^9 + 566*T1^2*T2^9 - 2388*T1^3*T2^9 - 6828*T1^4*T2^9 + 
      38291*T1^5*T2^9 - 44495*T1^6*T2^9 - 39533*T1^7*T2^9 + 
      126208*T1^8*T2^9 - 106382*T1^9*T2^9 + 5232*T1^10*T2^9 + 
      53953*T1^11*T2^9 - 30722*T1^12*T2^9 + 2524*T1^13*T2^9 + 
      2265*T1^14*T2^9 - 352*T1^15*T2^9 - 27*T1^16*T2^9 - 99*T1^2*T2^10 - 
      312*T1^3*T2^10 + 4750*T1^4*T2^10 - 8727*T1^5*T2^10 - 13671*T1^6*T2^10 + 
      65539*T1^7*T2^10 - 74772*T1^8*T2^10 + 5232*T1^9*T2^10 + 
      65568*T1^10*T2^10 - 67667*T1^11*T2^10 + 16455*T1^12*T2^10 + 
      8301*T1^13*T2^10 - 4946*T1^14*T2^10 + 318*T1^15*T2^10 + 
      99*T1^16*T2^10 + 134*T1^3*T2^11 - 461*T1^4*T2^11 - 2158*T1^5*T2^11 + 
      13249*T1^6*T2^11 - 21399*T1^7*T2^11 - 3835*T1^8*T2^11 + 
      53953*T1^9*T2^11 - 67667*T1^10*T2^11 + 33873*T1^11*T2^11 + 
      10322*T1^12*T2^11 - 16149*T1^13*T2^11 + 4745*T1^14*T2^11 + 
      313*T1^15*T2^11 - 201*T1^16*T2^11 - 83*T1^4*T2^12 + 745*T1^5*T2^12 - 
      1748*T1^6*T2^12 - 2616*T1^7*T2^12 + 18061*T1^8*T2^12 - 
      30722*T1^9*T2^12 + 16455*T1^10*T2^12 + 10322*T1^11*T2^12 - 
      24663*T1^12*T2^12 + 13732*T1^13*T2^12 - 1646*T1^14*T2^12 - 
      1037*T1^15*T2^12 + 249*T1^16*T2^12 - 294*T1^6*T2^13 + 2100*T1^7*T2^13 - 
      4842*T1^8*T2^13 + 2524*T1^9*T2^13 + 8301*T1^10*T2^13 - 
      16149*T1^11*T2^13 + 13732*T1^12*T2^13 - 3648*T1^13*T2^13 - 
      1563*T1^14*T2^13 + 1218*T1^15*T2^13 - 201*T1^16*T2^13 + 33*T1^6*T2^14 - 
      136*T1^7*T2^14 - 267*T1^8*T2^14 + 2265*T1^9*T2^14 - 4946*T1^10*T2^14 + 
      4745*T1^11*T2^14 - 1646*T1^12*T2^14 - 1563*T1^13*T2^14 + 
      1845*T1^14*T2^14 - 730*T1^15*T2^14 + 99*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 352*T1^9*T2^15 + 318*T1^10*T2^15 + 313*T1^11*T2^15 - 
      1037*T1^12*T2^15 + 1218*T1^13*T2^15 - 730*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      99*T1^10*T2^16 - 201*T1^11*T2^16 + 249*T1^12*T2^16 - 201*T1^13*T2^16 + 
      99*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 889] -> 
  {-((2 - 10*T + 22*T^2 - 32*T^3 + 35*T^4 - 32*T^5 + 22*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-25 + 125*T1 - 275*T1^2 + 401*T1^3 - 439*T1^4 + 401*T1^5 - 
      275*T1^6 + 125*T1^7 - 25*T1^8 + 125*T2 - 540*T1*T2 + 950*T1^2*T2 - 
      1070*T1^3*T2 + 830*T1^4*T2 - 510*T1^5*T2 + 10*T1^6*T2 + 310*T1^7*T2 - 
      300*T1^8*T2 + 85*T1^9*T2 - 275*T2^2 + 950*T1*T2^2 - 1007*T1^2*T2^2 + 
      271*T1^3*T2^2 + 823*T1^4*T2^2 - 1361*T1^5*T2^2 + 1967*T1^6*T2^2 - 
      1665*T1^7*T2^2 + 753*T1^8*T2^2 + 70*T1^9*T2^2 - 99*T1^10*T2^2 + 
      401*T2^3 - 1070*T1*T2^3 + 271*T1^2*T2^3 + 1230*T1^3*T2^3 - 
      2383*T1^4*T2^3 + 2097*T1^5*T2^3 - 2275*T1^6*T2^3 + 857*T1^7*T2^3 + 
      718*T1^8*T2^3 - 1313*T1^9*T2^3 + 410*T1^10*T2^3 + 17*T1^11*T2^3 - 
      439*T2^4 + 830*T1*T2^4 + 823*T1^2*T2^4 - 2383*T1^3*T2^4 + 
      2817*T1^4*T2^4 - 1545*T1^5*T2^4 + 1645*T1^6*T2^4 + 615*T1^7*T2^4 - 
      2023*T1^8*T2^4 + 1457*T1^9*T2^4 + 583*T1^10*T2^4 - 690*T1^11*T2^4 + 
      121*T1^12*T2^4 + 401*T2^5 - 510*T1*T2^5 - 1361*T1^2*T2^5 + 
      2097*T1^3*T2^5 - 1545*T1^4*T2^5 + 14*T1^5*T2^5 - 787*T1^6*T2^5 - 
      1495*T1^7*T2^5 + 1660*T1^8*T2^5 + 427*T1^9*T2^5 - 2315*T1^10*T2^5 + 
      691*T1^11*T2^5 + 590*T1^12*T2^5 - 239*T1^13*T2^5 - 275*T2^6 + 
      10*T1*T2^6 + 1967*T1^2*T2^6 - 2275*T1^3*T2^6 + 1645*T1^4*T2^6 - 
      787*T1^5*T2^6 + 1692*T1^6*T2^6 + 1318*T1^7*T2^6 - 1168*T1^8*T2^6 - 
      875*T1^9*T2^6 + 725*T1^10*T2^6 + 2037*T1^11*T2^6 - 1945*T1^12*T2^6 - 
      70*T1^13*T2^6 + 253*T1^14*T2^6 + 125*T2^7 + 310*T1*T2^7 - 
      1665*T1^2*T2^7 + 857*T1^3*T2^7 + 615*T1^4*T2^7 - 1495*T1^5*T2^7 + 
      1318*T1^6*T2^7 - 3748*T1^7*T2^7 + 1740*T1^8*T2^7 + 1078*T1^9*T2^7 + 
      453*T1^10*T2^7 - 2109*T1^11*T2^7 + 17*T1^12*T2^7 + 2031*T1^13*T2^7 - 
      490*T1^14*T2^7 - 155*T1^15*T2^7 - 25*T2^8 - 300*T1*T2^8 + 
      753*T1^2*T2^8 + 718*T1^3*T2^8 - 2023*T1^4*T2^8 + 1660*T1^5*T2^8 - 
      1168*T1^6*T2^8 + 1740*T1^7*T2^8 + 912*T1^8*T2^8 - 2548*T1^9*T2^8 - 
      832*T1^10*T2^8 + 644*T1^11*T2^8 + 2009*T1^12*T2^8 - 2370*T1^13*T2^8 - 
      671*T1^14*T2^8 + 580*T1^15*T2^8 + 39*T1^16*T2^8 + 85*T1*T2^9 + 
      70*T1^2*T2^9 - 1313*T1^3*T2^9 + 1457*T1^4*T2^9 + 427*T1^5*T2^9 - 
      875*T1^6*T2^9 + 1078*T1^7*T2^9 - 2548*T1^8*T2^9 + 2940*T1^9*T2^9 + 
      838*T1^10*T2^9 + 1073*T1^11*T2^9 - 2297*T1^12*T2^9 + 617*T1^13*T2^9 + 
      2383*T1^14*T2^9 - 730*T1^15*T2^9 - 195*T1^16*T2^9 - 99*T1^2*T2^10 + 
      410*T1^3*T2^10 + 583*T1^4*T2^10 - 2315*T1^5*T2^10 + 725*T1^6*T2^10 + 
      453*T1^7*T2^10 - 832*T1^8*T2^10 + 838*T1^9*T2^10 - 3692*T1^10*T2^10 + 
      365*T1^11*T2^10 - 195*T1^12*T2^10 + 1997*T1^13*T2^10 - 
      3329*T1^14*T2^10 + 330*T1^15*T2^10 + 429*T1^16*T2^10 + 17*T1^3*T2^11 - 
      690*T1^4*T2^11 + 691*T1^5*T2^11 + 2037*T1^6*T2^11 - 2109*T1^7*T2^11 + 
      644*T1^8*T2^11 + 1073*T1^9*T2^11 + 365*T1^10*T2^11 + 2290*T1^11*T2^11 - 
      137*T1^12*T2^11 - 2375*T1^13*T2^11 + 2743*T1^14*T2^11 + 
      410*T1^15*T2^11 - 623*T1^16*T2^11 + 121*T1^4*T2^12 + 590*T1^5*T2^12 - 
      1945*T1^6*T2^12 + 17*T1^7*T2^12 + 2009*T1^8*T2^12 - 2297*T1^9*T2^12 - 
      195*T1^10*T2^12 - 137*T1^11*T2^12 - 2831*T1^12*T2^12 + 
      3857*T1^13*T2^12 - 2185*T1^14*T2^12 - 930*T1^15*T2^12 + 
      681*T1^16*T2^12 - 239*T1^5*T2^13 - 70*T1^6*T2^13 + 2031*T1^7*T2^13 - 
      2370*T1^8*T2^13 + 617*T1^9*T2^13 + 1997*T1^10*T2^13 - 
      2375*T1^11*T2^13 + 3857*T1^12*T2^13 - 2882*T1^13*T2^13 + 
      447*T1^14*T2^13 + 1410*T1^15*T2^13 - 623*T1^16*T2^13 + 253*T1^6*T2^14 - 
      490*T1^7*T2^14 - 671*T1^8*T2^14 + 2383*T1^9*T2^14 - 3329*T1^10*T2^14 + 
      2743*T1^11*T2^14 - 2185*T1^12*T2^14 + 447*T1^13*T2^14 + 
      1089*T1^14*T2^14 - 1370*T1^15*T2^14 + 429*T1^16*T2^14 - 
      155*T1^7*T2^15 + 580*T1^8*T2^15 - 730*T1^9*T2^15 + 330*T1^10*T2^15 + 
      410*T1^11*T2^15 - 930*T1^12*T2^15 + 1410*T1^13*T2^15 - 
      1370*T1^14*T2^15 + 820*T1^15*T2^15 - 195*T1^16*T2^15 + 39*T1^8*T2^16 - 
      195*T1^9*T2^16 + 429*T1^10*T2^16 - 623*T1^11*T2^16 + 681*T1^12*T2^16 - 
      623*T1^13*T2^16 + 429*T1^14*T2^16 - 195*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 890] -> 
  {-((4 - 21*T + 47*T^2 - 61*T^3 + 47*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -(((4 - 21*T1 + 47*T1^2 - 61*T1^3 + 47*T1^4 - 21*T1^5 + 4*T1^6)*
      (1 + T1*T2)*(12 - 42*T1*T2 + 59*T1^2*T2^2 - 42*T1^3*T2^3 + 
       12*T1^4*T2^4)*(4 - 21*T2 + 47*T2^2 - 61*T2^3 + 47*T2^4 - 21*T2^5 + 
       4*T2^6))/(T1^7*T2^6))}, Knot[12, Alternating, 891] -> 
  {(2 - 11*T + 29*T^2 - 47*T^3 + 55*T^4 - 47*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 704*T1^2 + 1138*T1^3 - 1331*T1^4 + 1138*T1^5 - 
     704*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1242*T1*T2 + 2627*T1^2*T2 - 
     3013*T1^3*T2 + 2090*T1^4*T2 - 154*T1^5*T2 - 1341*T1^6*T2 + 
     1747*T1^7*T2 - 956*T1^8*T2 + 224*T1^9*T2 - 704*T2^2 + 2627*T1*T2^2 - 
     3882*T1^2*T2^2 + 1293*T1^3*T2^2 + 2673*T1^4*T2^2 - 6150*T1^5*T2^2 + 
     5689*T1^6*T2^2 - 2883*T1^7*T2^2 - 750*T1^8*T2^2 + 1351*T1^9*T2^2 - 
     472*T1^10*T2^2 + 1138*T2^3 - 3013*T1*T2^3 + 1293*T1^2*T2^3 + 
     6459*T1^3*T2^3 - 10319*T1^4*T2^3 + 9569*T1^5*T2^3 - 1537*T1^6*T2^3 - 
     4687*T1^7*T2^3 + 7517*T1^8*T2^3 - 2738*T1^9*T2^3 - 549*T1^10*T2^3 + 
     574*T1^11*T2^3 - 1331*T2^4 + 2090*T1*T2^4 + 2673*T1^2*T2^4 - 
     10319*T1^3*T2^4 + 4543*T1^4*T2^4 + 4871*T1^5*T2^4 - 17023*T1^6*T2^4 + 
     15915*T1^7*T2^4 - 9361*T1^8*T2^4 - 3081*T1^9*T2^4 + 4059*T1^10*T2^4 - 
     682*T1^11*T2^4 - 451*T1^12*T2^4 + 1138*T2^5 - 154*T1*T2^5 - 
     6150*T1^2*T2^5 + 9569*T1^3*T2^5 + 4871*T1^4*T2^5 - 12936*T1^5*T2^5 + 
     16904*T1^6*T2^5 - 2982*T1^7*T2^5 - 6108*T1^8*T2^5 + 13436*T1^9*T2^5 - 
     3257*T1^10*T2^5 - 2541*T1^11*T2^5 + 1386*T1^12*T2^5 + 198*T1^13*T2^5 - 
     704*T2^6 - 1341*T1*T2^6 + 5689*T1^2*T2^6 - 1537*T1^3*T2^6 - 
     17023*T1^4*T2^6 + 16904*T1^5*T2^6 - 11240*T1^6*T2^6 - 6398*T1^7*T2^6 + 
     6648*T1^8*T2^6 - 4688*T1^9*T2^6 - 8949*T1^10*T2^6 + 6989*T1^11*T2^6 - 
     587*T1^12*T2^6 - 1033*T1^13*T2^6 - 8*T1^14*T2^6 + 268*T2^7 + 
     1747*T1*T2^7 - 2883*T1^2*T2^7 - 4687*T1^3*T2^7 + 15915*T1^4*T2^7 - 
     2982*T1^5*T2^7 - 6398*T1^6*T2^7 + 14159*T1^7*T2^7 - 545*T1^8*T2^7 - 
     6123*T1^9*T2^7 + 13492*T1^10*T2^7 - 2566*T1^11*T2^7 - 3895*T1^12*T2^7 + 
     2018*T1^13*T2^7 + 251*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 
     956*T1*T2^8 - 750*T1^2*T2^8 + 7517*T1^3*T2^8 - 9361*T1^4*T2^8 - 
     6108*T1^5*T2^8 + 6648*T1^6*T2^8 - 545*T1^7*T2^8 - 14724*T1^8*T2^8 + 
     12469*T1^9*T2^8 - 7302*T1^10*T2^8 - 6504*T1^11*T2^8 + 7235*T1^12*T2^8 - 
     1101*T1^13*T2^8 - 1080*T1^14*T2^8 + 144*T1^15*T2^8 + 15*T1^16*T2^8 + 
     224*T1*T2^9 + 1351*T1^2*T2^9 - 2738*T1^3*T2^9 - 3081*T1^4*T2^9 + 
     13436*T1^5*T2^9 - 4688*T1^6*T2^9 - 6123*T1^7*T2^9 + 12469*T1^8*T2^9 - 
     2235*T1^9*T2^9 - 5848*T1^10*T2^9 + 11786*T1^11*T2^9 - 5045*T1^12*T2^9 - 
     2289*T1^13*T2^9 + 2163*T1^14*T2^9 - 145*T1^15*T2^9 - 84*T1^16*T2^9 - 
     472*T1^2*T2^10 - 549*T1^3*T2^10 + 4059*T1^4*T2^10 - 3257*T1^5*T2^10 - 
     8949*T1^6*T2^10 + 13492*T1^7*T2^10 - 7302*T1^8*T2^10 - 5848*T1^9*T2^10 + 
     10586*T1^10*T2^10 - 8100*T1^11*T2^10 - 875*T1^12*T2^10 + 
     5269*T1^13*T2^10 - 2217*T1^14*T2^10 - 241*T1^15*T2^10 + 
     224*T1^16*T2^10 + 574*T1^3*T2^11 - 682*T1^4*T2^11 - 2541*T1^5*T2^11 + 
     6989*T1^6*T2^11 - 2566*T1^7*T2^11 - 6504*T1^8*T2^11 + 11786*T1^9*T2^11 - 
     8100*T1^10*T2^11 + 324*T1^11*T2^11 + 5999*T1^12*T2^11 - 
     5837*T1^13*T2^11 + 1068*T1^14*T2^11 + 858*T1^15*T2^11 - 
     366*T1^16*T2^11 - 451*T1^4*T2^12 + 1386*T1^5*T2^12 - 587*T1^6*T2^12 - 
     3895*T1^7*T2^12 + 7235*T1^8*T2^12 - 5045*T1^9*T2^12 - 875*T1^10*T2^12 + 
     5999*T1^11*T2^12 - 6669*T1^12*T2^12 + 3343*T1^13*T2^12 + 
     799*T1^14*T2^12 - 1386*T1^15*T2^12 + 429*T1^16*T2^12 + 198*T1^5*T2^13 - 
     1033*T1^6*T2^13 + 2018*T1^7*T2^13 - 1101*T1^8*T2^13 - 2289*T1^9*T2^13 + 
     5269*T1^10*T2^13 - 5837*T1^11*T2^13 + 3343*T1^12*T2^13 - 
     43*T1^13*T2^13 - 2013*T1^14*T2^13 + 1431*T1^15*T2^13 - 366*T1^16*T2^13 - 
     8*T1^6*T2^14 + 251*T1^7*T2^14 - 1080*T1^8*T2^14 + 2163*T1^9*T2^14 - 
     2217*T1^10*T2^14 + 1068*T1^11*T2^14 + 799*T1^12*T2^14 - 
     2013*T1^13*T2^14 + 2052*T1^14*T2^14 - 1025*T1^15*T2^14 + 
     224*T1^16*T2^14 - 40*T1^7*T2^15 + 144*T1^8*T2^15 - 145*T1^9*T2^15 - 
     241*T1^10*T2^15 + 858*T1^11*T2^15 - 1386*T1^12*T2^15 + 
     1431*T1^13*T2^15 - 1025*T1^14*T2^15 + 430*T1^15*T2^15 - 84*T1^16*T2^15 + 
     15*T1^8*T2^16 - 84*T1^9*T2^16 + 224*T1^10*T2^16 - 366*T1^11*T2^16 + 
     429*T1^12*T2^16 - 366*T1^13*T2^16 + 224*T1^14*T2^16 - 84*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 892] -> 
  {(4 - 22*T + 53*T^2 - 69*T^3 + 53*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-272 + 1488*T1 - 3576*T1^2 + 4648*T1^3 - 3576*T1^4 + 1488*T1^5 - 
     272*T1^6 + 1488*T2 - 7006*T1*T2 + 13362*T1^2*T2 - 10532*T1^3*T2 + 
     204*T1^4*T2 + 6762*T1^5*T2 - 4718*T1^6*T2 + 1136*T1^7*T2 - 3576*T2^2 + 
     13362*T1*T2^2 - 14951*T1^2*T2^2 - 10248*T1^3*T2^2 + 34513*T1^4*T2^2 - 
     30176*T1^5*T2^2 + 5825*T1^6*T2^2 + 4034*T1^7*T2^2 - 1880*T1^8*T2^2 + 
     4648*T2^3 - 10532*T1*T2^3 - 10248*T1^2*T2^3 + 62150*T1^3*T2^3 - 
     66799*T1^4*T2^3 + 13353*T1^5*T2^3 + 35144*T1^6*T2^3 - 23816*T1^7*T2^3 + 
     3020*T1^8*T2^3 + 1336*T1^9*T2^3 - 3576*T2^4 + 204*T1*T2^4 + 
     34513*T1^2*T2^4 - 66799*T1^3*T2^4 + 642*T1^4*T2^4 + 91362*T1^5*T2^4 - 
     100498*T1^6*T2^4 + 23453*T1^7*T2^4 + 12665*T1^8*T2^4 - 6308*T1^9*T2^4 - 
     184*T1^10*T2^4 + 1488*T2^5 + 6762*T1*T2^5 - 30176*T1^2*T2^5 + 
     13353*T1^3*T2^5 + 91362*T1^4*T2^5 - 137021*T1^5*T2^5 + 58223*T1^6*T2^5 + 
     49121*T1^7*T2^5 - 46599*T1^8*T2^5 + 8832*T1^9*T2^5 + 2450*T1^10*T2^5 - 
     272*T1^11*T2^5 - 272*T2^6 - 4718*T1*T2^6 + 5825*T1^2*T2^6 + 
     35144*T1^3*T2^6 - 100498*T1^4*T2^6 + 58223*T1^5*T2^6 + 59256*T1^6*T2^6 - 
     113071*T1^7*T2^6 + 46288*T1^8*T2^6 + 7532*T1^9*T2^6 - 9207*T1^10*T2^6 + 
     914*T1^11*T2^6 + 112*T1^12*T2^6 + 1136*T1*T2^7 + 4034*T1^2*T2^7 - 
     23816*T1^3*T2^7 + 23453*T1^4*T2^7 + 49121*T1^5*T2^7 - 113071*T1^6*T2^7 + 
     82173*T1^7*T2^7 + 6880*T1^8*T2^7 - 36499*T1^9*T2^7 + 15192*T1^10*T2^7 - 
     278*T1^11*T2^7 - 624*T1^12*T2^7 - 1880*T1^2*T2^8 + 3020*T1^3*T2^8 + 
     12665*T1^4*T2^8 - 46599*T1^5*T2^8 + 46288*T1^6*T2^8 + 6880*T1^7*T2^8 - 
     54852*T1^8*T2^8 + 43653*T1^9*T2^8 - 9183*T1^10*T2^8 - 3492*T1^11*T2^8 + 
     1512*T1^12*T2^8 + 1336*T1^3*T2^9 - 6308*T1^4*T2^9 + 8832*T1^5*T2^9 + 
     7532*T1^6*T2^9 - 36499*T1^7*T2^9 + 43653*T1^8*T2^9 - 19474*T1^9*T2^9 - 
     4736*T1^10*T2^9 + 7244*T1^11*T2^9 - 1976*T1^12*T2^9 - 184*T1^4*T2^10 + 
     2450*T1^5*T2^10 - 9207*T1^6*T2^10 + 15192*T1^7*T2^10 - 9183*T1^8*T2^10 - 
     4736*T1^9*T2^10 + 11569*T1^10*T2^10 - 6878*T1^11*T2^10 + 
     1512*T1^12*T2^10 - 272*T1^5*T2^11 + 914*T1^6*T2^11 - 278*T1^7*T2^11 - 
     3492*T1^8*T2^11 + 7244*T1^9*T2^11 - 6878*T1^10*T2^11 + 
     3202*T1^11*T2^11 - 624*T1^12*T2^11 + 112*T1^6*T2^12 - 624*T1^7*T2^12 + 
     1512*T1^8*T2^12 - 1976*T1^9*T2^12 + 1512*T1^10*T2^12 - 624*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 893] -> 
  {(1 - 9*T + 33*T^2 - 68*T^3 + 87*T^4 - 68*T^5 + 33*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 132*T1^2 + 272*T1^3 - 348*T1^4 + 272*T1^5 - 132*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 946*T1^2*T2 - 1560*T1^3*T2 + 
     1298*T1^4*T2 - 97*T1^5*T2 - 651*T1^6*T2 + 568*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 132*T2^2 + 946*T1*T2^2 - 2238*T1^2*T2^2 + 1534*T1^3*T2^2 + 
     2948*T1^4*T2^2 - 7814*T1^5*T2^2 + 6512*T1^6*T2^2 - 2360*T1^7*T2^2 - 
     126*T1^8*T2^2 + 352*T1^9*T2^2 - 66*T1^10*T2^2 + 272*T2^3 - 
     1560*T1*T2^3 + 1534*T1^2*T2^3 + 5783*T1^3*T2^3 - 18300*T1^4*T2^3 + 
     21117*T1^5*T2^3 - 4314*T1^6*T2^3 - 7887*T1^7*T2^3 + 7385*T1^8*T2^3 - 
     2228*T1^9*T2^3 - 21*T1^10*T2^3 + 68*T1^11*T2^3 - 348*T2^4 + 
     1298*T1*T2^4 + 2948*T1^2*T2^4 - 18300*T1^3*T2^4 + 28593*T1^4*T2^4 - 
     7527*T1^5*T2^4 - 36071*T1^6*T2^4 + 38037*T1^7*T2^4 - 13695*T1^8*T2^4 - 
     2796*T1^9*T2^4 + 3416*T1^10*T2^4 - 610*T1^11*T2^4 + 272*T2^5 - 
     97*T1*T2^5 - 7814*T1^2*T2^5 + 21117*T1^3*T2^5 - 7527*T1^4*T2^5 - 
     47799*T1^5*T2^5 + 89516*T1^6*T2^5 - 35335*T1^7*T2^5 - 23199*T1^8*T2^5 + 
     30726*T1^9*T2^5 - 10840*T1^10*T2^5 - 137*T1^11*T2^5 + 614*T1^12*T2^5 - 
     68*T1^13*T2^5 - 132*T2^6 - 651*T1*T2^6 + 6512*T1^2*T2^6 - 
     4314*T1^3*T2^6 - 36071*T1^4*T2^6 + 89516*T1^5*T2^6 - 67462*T1^6*T2^6 - 
     58098*T1^7*T2^6 + 104510*T1^8*T2^6 - 52198*T1^9*T2^6 - 1565*T1^10*T2^6 + 
     11328*T1^11*T2^6 - 3244*T1^12*T2^6 + 15*T1^13*T2^6 + 66*T1^14*T2^6 + 
     36*T2^7 + 568*T1*T2^7 - 2360*T1^2*T2^7 - 7887*T1^3*T2^7 + 
     38037*T1^4*T2^7 - 35335*T1^5*T2^7 - 58098*T1^6*T2^7 + 174294*T1^7*T2^7 - 
     124494*T1^8*T2^7 - 6468*T1^9*T2^7 + 55790*T1^10*T2^7 - 
     29460*T1^11*T2^7 + 2064*T1^12*T2^7 + 2194*T1^13*T2^7 - 350*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 - 126*T1^2*T2^8 + 7385*T1^3*T2^8 - 
     13695*T1^4*T2^8 - 23199*T1^5*T2^8 + 104510*T1^6*T2^8 - 
     124494*T1^7*T2^8 - 10224*T1^8*T2^8 + 133374*T1^9*T2^8 - 
     99290*T1^10*T2^8 + 18267*T1^11*T2^8 + 14469*T1^12*T2^8 - 
     7077*T1^13*T2^8 + 120*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 352*T1^2*T2^9 - 2228*T1^3*T2^9 - 2796*T1^4*T2^9 + 
     30726*T1^5*T2^9 - 52198*T1^6*T2^9 - 6468*T1^7*T2^9 + 133374*T1^8*T2^9 - 
     165414*T1^9*T2^9 + 45162*T1^10*T2^9 + 38927*T1^11*T2^9 - 
     36771*T1^12*T2^9 + 7155*T1^13*T2^9 + 2326*T1^14*T2^9 - 566*T1^15*T2^9 - 
     36*T1^16*T2^9 - 66*T1^2*T2^10 - 21*T1^3*T2^10 + 3416*T1^4*T2^10 - 
     10840*T1^5*T2^10 - 1565*T1^6*T2^10 + 55790*T1^7*T2^10 - 
     99290*T1^8*T2^10 + 45162*T1^9*T2^10 + 72682*T1^10*T2^10 - 
     85924*T1^11*T2^10 + 32941*T1^12*T2^10 + 4802*T1^13*T2^10 - 
     6340*T1^14*T2^10 + 645*T1^15*T2^10 + 132*T1^16*T2^10 + 68*T1^3*T2^11 - 
     610*T1^4*T2^11 - 137*T1^5*T2^11 + 11328*T1^6*T2^11 - 29460*T1^7*T2^11 + 
     18267*T1^8*T2^11 + 38927*T1^9*T2^11 - 85924*T1^10*T2^11 + 
     42867*T1^11*T2^11 + 8793*T1^12*T2^11 - 20629*T1^13*T2^11 + 
     7540*T1^14*T2^11 + 101*T1^15*T2^11 - 272*T1^16*T2^11 + 614*T1^5*T2^12 - 
     3244*T1^6*T2^12 + 2064*T1^7*T2^12 + 14469*T1^8*T2^12 - 
     36771*T1^9*T2^12 + 32941*T1^10*T2^12 + 8793*T1^11*T2^12 - 
     27819*T1^12*T2^12 + 17568*T1^13*T2^12 - 2776*T1^14*T2^12 - 
     1294*T1^15*T2^12 + 348*T1^16*T2^12 - 68*T1^5*T2^13 + 15*T1^6*T2^13 + 
     2194*T1^7*T2^13 - 7077*T1^8*T2^13 + 7155*T1^9*T2^13 + 4802*T1^10*T2^13 - 
     20629*T1^11*T2^13 + 17568*T1^12*T2^13 - 5475*T1^13*T2^13 - 
     1568*T1^14*T2^13 + 1554*T1^15*T2^13 - 272*T1^16*T2^13 + 66*T1^6*T2^14 - 
     350*T1^7*T2^14 + 120*T1^8*T2^14 + 2326*T1^9*T2^14 - 6340*T1^10*T2^14 + 
     7540*T1^11*T2^14 - 2776*T1^12*T2^14 - 1568*T1^13*T2^14 + 
     2232*T1^14*T2^14 - 944*T1^15*T2^14 + 132*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 566*T1^9*T2^15 + 645*T1^10*T2^15 + 101*T1^11*T2^15 - 
     1294*T1^12*T2^15 + 1554*T1^13*T2^15 - 944*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     132*T1^10*T2^16 - 272*T1^11*T2^16 + 348*T1^12*T2^16 - 272*T1^13*T2^16 + 
     132*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 894] -> 
  {((1 - T + T^2)*(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6))/
    T^4, (-33 + 197*T1 - 540*T1^2 + 915*T1^3 - 1095*T1^4 + 915*T1^5 - 
     540*T1^6 + 197*T1^7 - 33*T1^8 + 197*T2 - 1028*T1*T2 + 2339*T1^2*T2 - 
     3035*T1^3*T2 + 2420*T1^4*T2 - 532*T1^5*T2 - 899*T1^6*T2 + 1259*T1^7*T2 - 
     692*T1^8*T2 + 149*T1^9*T2 - 540*T2^2 + 2339*T1*T2^2 - 3828*T1^2*T2^2 + 
     2133*T1^3*T2^2 + 2112*T1^4*T2^2 - 6764*T1^5*T2^2 + 6600*T1^6*T2^2 - 
     3675*T1^7*T2^2 + 264*T1^8*T2^2 + 755*T1^9*T2^2 - 276*T1^10*T2^2 + 
     915*T2^3 - 3035*T1*T2^3 + 2133*T1^2*T2^3 + 4742*T1^3*T2^3 - 
     11455*T1^4*T2^3 + 13776*T1^5*T2^3 - 5028*T1^6*T2^3 - 2755*T1^7*T2^3 + 
     6410*T1^8*T2^3 - 3411*T1^9*T2^3 + 205*T1^10*T2^3 + 243*T1^11*T2^3 - 
     1095*T2^4 + 2420*T1*T2^4 + 2112*T1^2*T2^4 - 11455*T1^3*T2^4 + 
     12876*T1^4*T2^4 - 6069*T1^5*T2^4 - 11962*T1^6*T2^4 + 16043*T1^7*T2^4 - 
     11420*T1^8*T2^4 + 193*T1^9*T2^4 + 3672*T1^10*T2^4 - 1324*T1^11*T2^4 - 
     23*T1^12*T2^4 + 915*T2^5 - 532*T1*T2^5 - 6764*T1^2*T2^5 + 
     13776*T1^3*T2^5 - 6069*T1^4*T2^5 - 6896*T1^5*T2^5 + 24027*T1^6*T2^5 - 
     13809*T1^7*T2^5 - 492*T1^8*T2^5 + 13147*T1^9*T2^5 - 8588*T1^10*T2^5 + 
     4*T1^11*T2^5 + 1364*T1^12*T2^5 - 205*T1^13*T2^5 - 540*T2^6 - 
     899*T1*T2^6 + 6600*T1^2*T2^6 - 5028*T1^3*T2^6 - 11962*T1^4*T2^6 + 
     24027*T1^5*T2^6 - 28925*T1^6*T2^6 + 1389*T1^7*T2^6 + 15427*T1^8*T2^6 - 
     17997*T1^9*T2^6 + 1124*T1^10*T2^6 + 8436*T1^11*T2^6 - 3744*T1^12*T2^6 - 
     275*T1^13*T2^6 + 252*T1^14*T2^6 + 197*T2^7 + 1259*T1*T2^7 - 
     3675*T1^2*T2^7 - 2755*T1^3*T2^7 + 16043*T1^4*T2^7 - 13809*T1^5*T2^7 + 
     1389*T1^6*T2^7 + 28138*T1^7*T2^7 - 26690*T1^8*T2^7 + 6637*T1^9*T2^7 + 
     15651*T1^10*T2^7 - 14757*T1^11*T2^7 + 337*T1^12*T2^7 + 3453*T1^13*T2^7 - 
     685*T1^14*T2^7 - 139*T1^15*T2^7 - 33*T2^8 - 692*T1*T2^8 + 
     264*T1^2*T2^8 + 6410*T1^3*T2^8 - 11420*T1^4*T2^8 - 492*T1^5*T2^8 + 
     15427*T1^6*T2^8 - 26690*T1^7*T2^8 + 4776*T1^8*T2^8 + 21294*T1^9*T2^8 - 
     24729*T1^10*T2^8 + 6100*T1^11*T2^8 + 10824*T1^12*T2^8 - 
     6598*T1^13*T2^8 - 336*T1^14*T2^8 + 652*T1^15*T2^8 + 31*T1^16*T2^8 + 
     149*T1*T2^9 + 755*T1^2*T2^9 - 3411*T1^3*T2^9 + 193*T1^4*T2^9 + 
     13147*T1^5*T2^9 - 17997*T1^6*T2^9 + 6637*T1^7*T2^9 + 21294*T1^8*T2^9 - 
     33534*T1^9*T2^9 + 11885*T1^10*T2^9 + 11463*T1^11*T2^9 - 
     17653*T1^12*T2^9 + 3285*T1^13*T2^9 + 3717*T1^14*T2^9 - 1189*T1^15*T2^9 - 
     187*T1^16*T2^9 - 276*T1^2*T2^10 + 205*T1^3*T2^10 + 3672*T1^4*T2^10 - 
     8588*T1^5*T2^10 + 1124*T1^6*T2^10 + 15651*T1^7*T2^10 - 
     24729*T1^8*T2^10 + 11885*T1^9*T2^10 + 19623*T1^10*T2^10 - 
     26373*T1^11*T2^10 + 14210*T1^12*T2^10 + 4876*T1^13*T2^10 - 
     6672*T1^14*T2^10 + 829*T1^15*T2^10 + 516*T1^16*T2^10 + 243*T1^3*T2^11 - 
     1324*T1^4*T2^11 + 4*T1^5*T2^11 + 8436*T1^6*T2^11 - 14757*T1^7*T2^11 + 
     6100*T1^8*T2^11 + 11463*T1^9*T2^11 - 26373*T1^10*T2^11 + 
     12504*T1^11*T2^11 + 4459*T1^12*T2^11 - 13928*T1^13*T2^11 + 
     6772*T1^14*T2^11 + 572*T1^15*T2^11 - 877*T1^16*T2^11 - 23*T1^4*T2^12 + 
     1364*T1^5*T2^12 - 3744*T1^6*T2^12 + 337*T1^7*T2^12 + 10824*T1^8*T2^12 - 
     17653*T1^9*T2^12 + 14210*T1^10*T2^12 + 4459*T1^11*T2^12 - 
     13472*T1^12*T2^12 + 11985*T1^13*T2^12 - 2184*T1^14*T2^12 - 
     2380*T1^15*T2^12 + 1049*T1^16*T2^12 - 205*T1^5*T2^13 - 275*T1^6*T2^13 + 
     3453*T1^7*T2^13 - 6598*T1^8*T2^13 + 3285*T1^9*T2^13 + 4876*T1^10*T2^13 - 
     13928*T1^11*T2^13 + 11985*T1^12*T2^13 - 4930*T1^13*T2^13 - 
     2091*T1^14*T2^13 + 2965*T1^15*T2^13 - 877*T1^16*T2^13 + 252*T1^6*T2^14 - 
     685*T1^7*T2^14 - 336*T1^8*T2^14 + 3717*T1^9*T2^14 - 6672*T1^10*T2^14 + 
     6772*T1^11*T2^14 - 2184*T1^12*T2^14 - 2091*T1^13*T2^14 + 
     3756*T1^14*T2^14 - 2269*T1^15*T2^14 + 516*T1^16*T2^14 - 139*T1^7*T2^15 + 
     652*T1^8*T2^15 - 1189*T1^9*T2^15 + 829*T1^10*T2^15 + 572*T1^11*T2^15 - 
     2380*T1^12*T2^15 + 2965*T1^13*T2^15 - 2269*T1^14*T2^15 + 
     988*T1^15*T2^15 - 187*T1^16*T2^15 + 31*T1^8*T2^16 - 187*T1^9*T2^16 + 
     516*T1^10*T2^16 - 877*T1^11*T2^16 + 1049*T1^12*T2^16 - 877*T1^13*T2^16 + 
     516*T1^14*T2^16 - 187*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 895] -> 
  {-((2 - 10*T + 27*T^2 - 51*T^3 + 63*T^4 - 51*T^5 + 27*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 549*T1^2 + 1035*T1^3 - 1277*T1^4 + 1035*T1^5 - 
      549*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1919*T1^2*T2 - 
      2961*T1^3*T2 + 2226*T1^4*T2 - 54*T1^5*T2 - 1401*T1^6*T2 + 
      1179*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 549*T2^2 + 1919*T1*T2^2 - 
      3625*T1^2*T2^2 + 4569*T1^3*T2^2 - 886*T1^4*T2^2 - 3287*T1^5*T2^2 + 
      3002*T1^6*T2^2 + 141*T1^7*T2^2 - 925*T1^8*T2^2 + 839*T1^9*T2^2 - 
      333*T1^10*T2^2 + 1035*T2^3 - 2961*T1*T2^3 + 4569*T1^2*T2^3 - 
      4442*T1^3*T2^3 - 3355*T1^4*T2^3 + 6346*T1^5*T2^3 - 566*T1^6*T2^3 - 
      4633*T1^7*T2^3 + 1786*T1^8*T2^3 - 453*T1^9*T2^3 - 441*T1^10*T2^3 + 
      423*T1^11*T2^3 - 1277*T2^4 + 2226*T1*T2^4 - 886*T1^2*T2^4 - 
      3355*T1^3*T2^4 + 15600*T1^4*T2^4 - 11059*T1^5*T2^4 - 2542*T1^6*T2^4 + 
      4997*T1^7*T2^4 + 4524*T1^8*T2^4 - 3559*T1^9*T2^4 + 2522*T1^10*T2^4 - 
      774*T1^11*T2^4 - 269*T1^12*T2^4 + 1035*T2^5 - 54*T1*T2^5 - 
      3287*T1^2*T2^5 + 6346*T1^3*T2^5 - 11059*T1^4*T2^5 - 10531*T1^5*T2^5 + 
      22568*T1^6*T2^5 - 5860*T1^7*T2^5 - 14065*T1^8*T2^5 + 6032*T1^9*T2^5 - 
      2150*T1^10*T2^5 - 911*T1^11*T2^5 + 1266*T1^12*T2^5 + 15*T1^13*T2^5 - 
      549*T2^6 - 1401*T1*T2^6 + 3002*T1^2*T2^6 - 566*T1^3*T2^6 - 
      2542*T1^4*T2^6 + 22568*T1^5*T2^6 - 5276*T1^6*T2^6 - 34268*T1^7*T2^6 + 
      41656*T1^8*T2^6 - 8998*T1^9*T2^6 - 1120*T1^10*T2^6 + 3970*T1^11*T2^6 - 
      1846*T1^12*T2^6 - 561*T1^13*T2^6 + 99*T1^14*T2^6 + 204*T2^7 + 
      1179*T1*T2^7 + 141*T1^2*T2^7 - 4633*T1^3*T2^7 + 4997*T1^4*T2^7 - 
      5860*T1^5*T2^7 - 34268*T1^6*T2^7 + 61544*T1^7*T2^7 - 30790*T1^8*T2^7 - 
      17447*T1^9*T2^7 + 16292*T1^10*T2^7 - 7954*T1^11*T2^7 + 941*T1^12*T2^7 + 
      1599*T1^13*T2^7 - 121*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 925*T1^2*T2^8 + 1786*T1^3*T2^8 + 4524*T1^4*T2^8 - 
      14065*T1^5*T2^8 + 41656*T1^6*T2^8 - 30790*T1^7*T2^8 - 23100*T1^8*T2^8 + 
      51606*T1^9*T2^8 - 23486*T1^10*T2^8 + 3437*T1^11*T2^8 + 
      2652*T1^12*T2^8 - 2402*T1^13*T2^8 - 229*T1^14*T2^8 + 268*T1^15*T2^8 + 
      23*T1^16*T2^8 + 164*T1*T2^9 + 839*T1^2*T2^9 - 453*T1^3*T2^9 - 
      3559*T1^4*T2^9 + 6032*T1^5*T2^9 - 8998*T1^6*T2^9 - 17447*T1^7*T2^9 + 
      51606*T1^8*T2^9 - 40728*T1^9*T2^9 - 626*T1^10*T2^9 + 13154*T1^11*T2^9 - 
      6919*T1^12*T2^9 + 2015*T1^13*T2^9 + 1005*T1^14*T2^9 - 461*T1^15*T2^9 - 
      116*T1^16*T2^9 - 333*T1^2*T2^10 - 441*T1^3*T2^10 + 2522*T1^4*T2^10 - 
      2150*T1^5*T2^10 - 1120*T1^6*T2^10 + 16292*T1^7*T2^10 - 
      23486*T1^8*T2^10 - 626*T1^9*T2^10 + 23446*T1^10*T2^10 - 
      15274*T1^11*T2^10 + 302*T1^12*T2^10 + 2386*T1^13*T2^10 - 
      2326*T1^14*T2^10 + 399*T1^15*T2^10 + 315*T1^16*T2^10 + 423*T1^3*T2^11 - 
      774*T1^4*T2^11 - 911*T1^5*T2^11 + 3970*T1^6*T2^11 - 7954*T1^7*T2^11 + 
      3437*T1^8*T2^11 + 13154*T1^9*T2^11 - 15274*T1^10*T2^11 - 
      97*T1^11*T2^11 + 9137*T1^12*T2^11 - 4526*T1^13*T2^11 + 
      1465*T1^14*T2^11 + 546*T1^15*T2^11 - 597*T1^16*T2^11 - 269*T1^4*T2^12 + 
      1266*T1^5*T2^12 - 1846*T1^6*T2^12 + 941*T1^7*T2^12 + 2652*T1^8*T2^12 - 
      6919*T1^9*T2^12 + 302*T1^10*T2^12 + 9137*T1^11*T2^12 - 
      8424*T1^12*T2^12 + 737*T1^13*T2^12 + 1562*T1^14*T2^12 - 
      1734*T1^15*T2^12 + 739*T1^16*T2^12 + 15*T1^5*T2^13 - 561*T1^6*T2^13 + 
      1599*T1^7*T2^13 - 2402*T1^8*T2^13 + 2015*T1^9*T2^13 + 
      2386*T1^10*T2^13 - 4526*T1^11*T2^13 + 737*T1^12*T2^13 + 
      3826*T1^13*T2^13 - 3423*T1^14*T2^13 + 1959*T1^15*T2^13 - 
      597*T1^16*T2^13 + 99*T1^6*T2^14 - 121*T1^7*T2^14 - 229*T1^8*T2^14 + 
      1005*T1^9*T2^14 - 2326*T1^10*T2^14 + 1465*T1^11*T2^14 + 
      1562*T1^12*T2^14 - 3423*T1^13*T2^14 + 2471*T1^14*T2^14 - 
      1201*T1^15*T2^14 + 315*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      461*T1^9*T2^15 + 399*T1^10*T2^15 + 546*T1^11*T2^15 - 1734*T1^12*T2^15 + 
      1959*T1^13*T2^15 - 1201*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 315*T1^10*T2^16 - 
      597*T1^11*T2^16 + 739*T1^12*T2^16 - 597*T1^13*T2^16 + 315*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 896] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6))/
     T^4), -((-39 + 215*T1 - 509*T1^2 + 783*T1^3 - 881*T1^4 + 783*T1^5 - 
      509*T1^6 + 215*T1^7 - 39*T1^8 + 215*T2 - 1014*T1*T2 + 1862*T1^2*T2 - 
      2082*T1^3*T2 + 1420*T1^4*T2 - 450*T1^5*T2 - 630*T1^6*T2 + 
      1048*T1^7*T2 - 728*T1^8*T2 + 171*T1^9*T2 - 509*T2^2 + 1862*T1*T2^2 - 
      1735*T1^2*T2^2 - 477*T1^3*T2^2 + 3599*T1^4*T2^2 - 5157*T1^5*T2^2 + 
      5575*T1^6*T2^2 - 3493*T1^7*T2^2 + 761*T1^8*T2^2 + 718*T1^9*T2^2 - 
      301*T1^10*T2^2 + 783*T2^3 - 2082*T1*T2^3 - 477*T1^2*T2^3 + 
      4796*T1^3*T2^3 - 7435*T1^4*T2^3 + 5490*T1^5*T2^3 - 2980*T1^6*T2^3 - 
      1999*T1^7*T2^3 + 4294*T1^8*T2^3 - 2999*T1^9*T2^3 - 14*T1^10*T2^3 + 
      303*T1^11*T2^3 - 881*T2^4 + 1420*T1*T2^4 + 3599*T1^2*T2^4 - 
      7435*T1^3*T2^4 + 6505*T1^4*T2^4 - 630*T1^5*T2^4 - 1885*T1^6*T2^4 + 
      5650*T1^7*T2^4 - 3535*T1^8*T2^4 - 715*T1^9*T2^4 + 3279*T1^10*T2^4 - 
      780*T1^11*T2^4 - 161*T1^12*T2^4 + 783*T2^5 - 450*T1*T2^5 - 
      5157*T1^2*T2^5 + 5490*T1^3*T2^5 - 630*T1^4*T2^5 - 5061*T1^5*T2^5 + 
      2737*T1^6*T2^5 - 2453*T1^7*T2^5 - 2781*T1^8*T2^5 + 5260*T1^9*T2^5 - 
      3600*T1^10*T2^5 - 1302*T1^11*T2^5 + 980*T1^12*T2^5 - 17*T1^13*T2^5 - 
      509*T2^6 - 630*T1*T2^6 + 5575*T1^2*T2^6 - 2980*T1^3*T2^6 - 
      1885*T1^4*T2^6 + 2737*T1^5*T2^6 + 3544*T1^6*T2^6 - 3036*T1^7*T2^6 + 
      4452*T1^8*T2^6 - 1923*T1^9*T2^6 - 2085*T1^10*T2^6 + 4560*T1^11*T2^6 - 
      993*T1^12*T2^6 - 542*T1^13*T2^6 + 115*T1^14*T2^6 + 215*T2^7 + 
      1048*T1*T2^7 - 3493*T1^2*T2^7 - 1999*T1^3*T2^7 + 5650*T1^4*T2^7 - 
      2453*T1^5*T2^7 - 3036*T1^6*T2^7 - 520*T1^7*T2^7 + 1492*T1^8*T2^7 - 
      2900*T1^9*T2^7 + 3797*T1^10*T2^7 - 1800*T1^11*T2^7 - 2299*T1^12*T2^7 + 
      1993*T1^13*T2^7 - 118*T1^14*T2^7 - 93*T1^15*T2^7 - 39*T2^8 - 
      728*T1*T2^8 + 761*T1^2*T2^8 + 4294*T1^3*T2^8 - 3535*T1^4*T2^8 - 
      2781*T1^5*T2^8 + 4452*T1^6*T2^8 + 1492*T1^7*T2^8 - 2472*T1^8*T2^8 + 
      948*T1^9*T2^8 - 284*T1^10*T2^8 - 2751*T1^11*T2^8 + 3969*T1^12*T2^8 - 
      1454*T1^13*T2^8 - 985*T1^14*T2^8 + 372*T1^15*T2^8 + 25*T1^16*T2^8 + 
      171*T1*T2^9 + 718*T1^2*T2^9 - 2999*T1^3*T2^9 - 715*T1^4*T2^9 + 
      5260*T1^5*T2^9 - 1923*T1^6*T2^9 - 2900*T1^7*T2^9 + 948*T1^8*T2^9 + 
      2960*T1^9*T2^9 - 2764*T1^10*T2^9 + 4327*T1^11*T2^9 - 2190*T1^12*T2^9 - 
      1015*T1^13*T2^9 + 2487*T1^14*T2^9 - 448*T1^15*T2^9 - 137*T1^16*T2^9 - 
      301*T1^2*T2^10 - 14*T1^3*T2^10 + 3279*T1^4*T2^10 - 3600*T1^5*T2^10 - 
      2085*T1^6*T2^10 + 3797*T1^7*T2^10 - 284*T1^8*T2^10 - 2764*T1^9*T2^10 + 
      624*T1^10*T2^10 - 863*T1^11*T2^10 - 2285*T1^12*T2^10 + 
      3940*T1^13*T2^10 - 3289*T1^14*T2^10 + 74*T1^15*T2^10 + 
      323*T1^16*T2^10 + 303*T1^3*T2^11 - 780*T1^4*T2^11 - 1302*T1^5*T2^11 + 
      4560*T1^6*T2^11 - 1800*T1^7*T2^11 - 2751*T1^8*T2^11 + 4327*T1^9*T2^11 - 
      863*T1^10*T2^11 - 471*T1^11*T2^11 + 4090*T1^12*T2^11 - 
      4530*T1^13*T2^11 + 2553*T1^14*T2^11 + 650*T1^15*T2^11 - 
      497*T1^16*T2^11 - 161*T1^4*T2^12 + 980*T1^5*T2^12 - 993*T1^6*T2^12 - 
      2299*T1^7*T2^12 + 3969*T1^8*T2^12 - 2190*T1^9*T2^12 - 
      2285*T1^10*T2^12 + 4090*T1^11*T2^12 - 6071*T1^12*T2^12 + 
      4421*T1^13*T2^12 - 1313*T1^14*T2^12 - 1220*T1^15*T2^12 + 
      559*T1^16*T2^12 - 17*T1^5*T2^13 - 542*T1^6*T2^13 + 1993*T1^7*T2^13 - 
      1454*T1^8*T2^13 - 1015*T1^9*T2^13 + 3940*T1^10*T2^13 - 
      4530*T1^11*T2^13 + 4421*T1^12*T2^13 - 1956*T1^13*T2^13 - 
      529*T1^14*T2^13 + 1526*T1^15*T2^13 - 497*T1^16*T2^13 + 115*T1^6*T2^14 - 
      118*T1^7*T2^14 - 985*T1^8*T2^14 + 2487*T1^9*T2^14 - 3289*T1^10*T2^14 + 
      2553*T1^11*T2^14 - 1313*T1^12*T2^14 - 529*T1^13*T2^14 + 
      1511*T1^14*T2^14 - 1262*T1^15*T2^14 + 323*T1^16*T2^14 - 93*T1^7*T2^15 + 
      372*T1^8*T2^15 - 448*T1^9*T2^15 + 74*T1^10*T2^15 + 650*T1^11*T2^15 - 
      1220*T1^12*T2^15 + 1526*T1^13*T2^15 - 1262*T1^14*T2^15 + 
      658*T1^15*T2^15 - 137*T1^16*T2^15 + 25*T1^8*T2^16 - 137*T1^9*T2^16 + 
      323*T1^10*T2^16 - 497*T1^11*T2^16 + 559*T1^12*T2^16 - 497*T1^13*T2^16 + 
      323*T1^14*T2^16 - 137*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 897] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4))/T^3), 
   -((-192 + 1060*T1 - 2412*T1^2 + 3136*T1^3 - 2412*T1^4 + 1060*T1^5 - 
      192*T1^6 + 1060*T2 - 5142*T1*T2 + 9394*T1^2*T2 - 8394*T1^3*T2 + 
      1726*T1^4*T2 + 3058*T1^5*T2 - 2854*T1^6*T2 + 708*T1^7*T2 - 2412*T2^2 + 
      9394*T1*T2^2 - 9455*T1^2*T2^2 - 5374*T1^3*T2^2 + 23479*T1^4*T2^2 - 
      22574*T1^5*T2^2 + 8945*T1^6*T2^2 + 594*T1^7*T2^2 - 812*T1^8*T2^2 + 
      3136*T2^3 - 8394*T1*T2^3 - 5374*T1^2*T2^3 + 36002*T1^3*T2^3 - 
      49508*T1^4*T2^3 + 20832*T1^5*T2^3 + 10622*T1^6*T2^3 - 15774*T1^7*T2^3 + 
      4366*T1^8*T2^3 + 16*T1^9*T2^3 - 2412*T2^4 + 1726*T1*T2^4 + 
      23479*T1^2*T2^4 - 49508*T1^3*T2^4 + 30269*T1^4*T2^4 + 30991*T1^5*T2^4 - 
      55911*T1^6*T2^4 + 30052*T1^7*T2^4 + 559*T1^8*T2^4 - 4434*T1^9*T2^4 + 
      788*T1^10*T2^4 + 1060*T2^5 + 3058*T1*T2^5 - 22574*T1^2*T2^5 + 
      20832*T1^3*T2^5 + 30991*T1^4*T2^5 - 85224*T1^5*T2^5 + 62366*T1^6*T2^5 + 
      2691*T1^7*T2^5 - 31068*T1^8*T2^5 + 15026*T1^9*T2^5 - 462*T1^10*T2^5 - 
      700*T1^11*T2^5 - 192*T2^6 - 2854*T1*T2^6 + 8945*T1^2*T2^6 + 
      10622*T1^3*T2^6 - 55911*T1^4*T2^6 + 62366*T1^5*T2^6 + 3780*T1^6*T2^6 - 
      65690*T1^7*T2^6 + 53049*T1^8*T2^6 - 8818*T1^9*T2^6 - 8847*T1^10*T2^6 + 
      2778*T1^11*T2^6 + 192*T1^12*T2^6 + 708*T1*T2^7 + 594*T1^2*T2^7 - 
      15774*T1^3*T2^7 + 30052*T1^4*T2^7 + 2691*T1^5*T2^7 - 65690*T1^6*T2^7 + 
      81900*T1^7*T2^7 - 25609*T1^8*T2^7 - 21848*T1^9*T2^7 + 
      21826*T1^10*T2^7 - 2926*T1^11*T2^7 - 1052*T1^12*T2^7 - 812*T1^2*T2^8 + 
      4366*T1^3*T2^8 + 559*T1^4*T2^8 - 31068*T1^5*T2^8 + 53049*T1^6*T2^8 - 
      25609*T1^7*T2^8 - 33131*T1^8*T2^8 + 48492*T1^9*T2^8 - 
      22361*T1^10*T2^8 - 1794*T1^11*T2^8 + 2388*T1^12*T2^8 + 16*T1^3*T2^9 - 
      4434*T1^4*T2^9 + 15026*T1^5*T2^9 - 8818*T1^6*T2^9 - 21848*T1^7*T2^9 + 
      48492*T1^8*T2^9 - 34198*T1^9*T2^9 + 4626*T1^10*T2^9 + 8326*T1^11*T2^9 - 
      3104*T1^12*T2^9 + 788*T1^4*T2^10 - 462*T1^5*T2^10 - 8847*T1^6*T2^10 + 
      21826*T1^7*T2^10 - 22361*T1^8*T2^10 + 4626*T1^9*T2^10 + 
      9553*T1^10*T2^10 - 9262*T1^11*T2^10 + 2388*T1^12*T2^10 - 
      700*T1^5*T2^11 + 2778*T1^6*T2^11 - 2926*T1^7*T2^11 - 1794*T1^8*T2^11 + 
      8326*T1^9*T2^11 - 9262*T1^10*T2^11 + 5066*T1^11*T2^11 - 
      1052*T1^12*T2^11 + 192*T1^6*T2^12 - 1052*T1^7*T2^12 + 2388*T1^8*T2^12 - 
      3104*T1^9*T2^12 + 2388*T1^10*T2^12 - 1052*T1^11*T2^12 + 
      192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 898] -> 
  {(1 - 4*T + 11*T^2 - 21*T^3 + 30*T^4 - 33*T^5 + 30*T^6 - 21*T^7 + 11*T^8 - 
     4*T^9 + T^10)/T^5, (-4 + 16*T1 - 44*T1^2 + 84*T1^3 - 120*T1^4 + 
     132*T1^5 - 120*T1^6 + 84*T1^7 - 44*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 
     52*T1*T2 + 128*T1^2*T2 - 204*T1^3*T2 + 228*T1^4*T2 - 168*T1^5*T2 + 
     84*T1^6*T2 + 24*T1^7*T2 - 76*T1^8*T2 + 68*T1^9*T2 - 32*T1^10*T2 + 
     12*T1^11*T2 - 44*T2^2 + 128*T1*T2^2 - 315*T1^2*T2^2 + 488*T1^3*T2^2 - 
     565*T1^4*T2^2 + 497*T1^5*T2^2 - 427*T1^6*T2^2 + 233*T1^7*T2^2 - 
     147*T1^8*T2^2 + 114*T1^9*T2^2 - 95*T1^10*T2^2 + 40*T1^11*T2^2 - 
     22*T1^12*T2^2 + 84*T2^3 - 204*T1*T2^3 + 488*T1^2*T2^3 - 655*T1^3*T2^3 + 
     659*T1^4*T2^3 - 473*T1^5*T2^3 + 392*T1^6*T2^3 - 49*T1^7*T2^3 + 
     55*T1^8*T2^3 - 75*T1^9*T2^3 + 71*T1^10*T2^3 + 15*T1^11*T2^3 + 
     4*T1^12*T2^3 + 21*T1^13*T2^3 - 120*T2^4 + 228*T1*T2^4 - 565*T1^2*T2^4 + 
     659*T1^3*T2^4 - 693*T1^4*T2^4 + 650*T1^5*T2^4 - 847*T1^6*T2^4 + 
     425*T1^7*T2^4 - 583*T1^8*T2^4 + 362*T1^9*T2^4 - 69*T1^10*T2^4 - 
     181*T1^11*T2^4 + 83*T1^12*T2^4 - 84*T1^13*T2^4 + 132*T2^5 - 
     168*T1*T2^5 + 497*T1^2*T2^5 - 473*T1^3*T2^5 + 650*T1^4*T2^5 - 
     862*T1^5*T2^5 + 1261*T1^6*T2^5 - 587*T1^7*T2^5 + 886*T1^8*T2^5 - 
     290*T1^9*T2^5 - 100*T1^10*T2^5 + 155*T1^11*T2^5 + 187*T1^12*T2^5 - 
     109*T1^13*T2^5 + 132*T1^14*T2^5 - 33*T1^15*T2^5 - 120*T2^6 + 
     84*T1*T2^6 - 427*T1^2*T2^6 + 392*T1^3*T2^6 - 847*T1^4*T2^6 + 
     1261*T1^5*T2^6 - 1511*T1^6*T2^6 + 350*T1^7*T2^6 - 585*T1^8*T2^6 - 
     598*T1^9*T2^6 + 937*T1^10*T2^6 - 587*T1^11*T2^6 + 65*T1^12*T2^6 - 
     220*T1^13*T2^6 + 101*T1^14*T2^6 - 108*T1^15*T2^6 + 60*T1^16*T2^6 + 
     84*T2^7 + 24*T1*T2^7 + 233*T1^2*T2^7 - 49*T1^3*T2^7 + 425*T1^4*T2^7 - 
     587*T1^5*T2^7 + 350*T1^6*T2^7 + 864*T1^7*T2^7 - 120*T1^8*T2^7 + 
     1026*T1^9*T2^7 - 516*T1^10*T2^7 - 526*T1^11*T2^7 + 772*T1^12*T2^7 - 
     214*T1^13*T2^7 + 164*T1^14*T2^7 - 73*T1^15*T2^7 + 12*T1^16*T2^7 - 
     63*T1^17*T2^7 - 44*T2^8 - 76*T1*T2^8 - 147*T1^2*T2^8 + 55*T1^3*T2^8 - 
     583*T1^4*T2^8 + 886*T1^5*T2^8 - 585*T1^6*T2^8 - 120*T1^7*T2^8 - 
     741*T1^8*T2^8 - 409*T1^9*T2^8 + 19*T1^10*T2^8 + 702*T1^11*T2^8 + 
     141*T1^12*T2^8 - 758*T1^13*T2^8 + 449*T1^14*T2^8 - 143*T1^15*T2^8 + 
     125*T1^16*T2^8 + 76*T1^17*T2^8 + 44*T1^18*T2^8 + 16*T2^9 + 68*T1*T2^9 + 
     114*T1^2*T2^9 - 75*T1^3*T2^9 + 362*T1^4*T2^9 - 290*T1^5*T2^9 - 
     598*T1^6*T2^9 + 1026*T1^7*T2^9 - 409*T1^8*T2^9 + 1159*T1^9*T2^9 - 
     341*T1^10*T2^9 - 629*T1^11*T2^9 - 768*T1^12*T2^9 + 566*T1^13*T2^9 + 
     73*T1^14*T2^9 - 385*T1^15*T2^9 + 23*T1^16*T2^9 - 205*T1^17*T2^9 - 
     96*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 95*T1^2*T2^10 + 
     71*T1^3*T2^10 - 69*T1^4*T2^10 - 100*T1^5*T2^10 + 937*T1^6*T2^10 - 
     516*T1^7*T2^10 + 19*T1^8*T2^10 - 341*T1^9*T2^10 + 473*T1^11*T2^10 + 
     1539*T1^12*T2^10 - 288*T1^13*T2^10 - 251*T1^14*T2^10 + 368*T1^15*T2^10 + 
     273*T1^16*T2^10 + 129*T1^17*T2^10 + 229*T1^18*T2^10 + 56*T1^19*T2^10 + 
     6*T1^20*T2^10 + 12*T1*T2^11 + 40*T1^2*T2^11 + 15*T1^3*T2^11 - 
     181*T1^4*T2^11 + 155*T1^5*T2^11 - 587*T1^6*T2^11 - 526*T1^7*T2^11 + 
     702*T1^8*T2^11 - 629*T1^9*T2^11 + 473*T1^10*T2^11 - 1027*T1^11*T2^11 - 
     849*T1^12*T2^11 - 1092*T1^13*T2^11 + 638*T1^14*T2^11 - 224*T1^15*T2^11 - 
     592*T1^16*T2^11 - 83*T1^17*T2^11 - 304*T1^18*T2^11 - 124*T1^19*T2^11 - 
     24*T1^20*T2^11 - 22*T1^2*T2^12 + 4*T1^3*T2^12 + 83*T1^4*T2^12 + 
     187*T1^5*T2^12 + 65*T1^6*T2^12 + 772*T1^7*T2^12 + 141*T1^8*T2^12 - 
     768*T1^9*T2^12 + 1539*T1^10*T2^12 - 849*T1^11*T2^12 + 2299*T1^12*T2^12 + 
     54*T1^13*T2^12 + 867*T1^14*T2^12 - 872*T1^15*T2^12 + 1097*T1^16*T2^12 - 
     11*T1^17*T2^12 + 355*T1^18*T2^12 + 156*T1^19*T2^12 + 66*T1^20*T2^12 + 
     21*T1^3*T2^13 - 84*T1^4*T2^13 - 109*T1^5*T2^13 - 220*T1^6*T2^13 - 
     214*T1^7*T2^13 - 758*T1^8*T2^13 + 566*T1^9*T2^13 - 288*T1^10*T2^13 - 
     1092*T1^11*T2^13 + 54*T1^12*T2^13 - 1668*T1^13*T2^13 - 310*T1^14*T2^13 + 
     601*T1^15*T2^13 - 853*T1^16*T2^13 - 7*T1^17*T2^13 - 415*T1^18*T2^13 - 
     96*T1^19*T2^13 - 126*T1^20*T2^13 + 132*T1^5*T2^14 + 101*T1^6*T2^14 + 
     164*T1^7*T2^14 + 449*T1^8*T2^14 + 73*T1^9*T2^14 - 251*T1^10*T2^14 + 
     638*T1^11*T2^14 + 867*T1^12*T2^14 - 310*T1^13*T2^14 + 2197*T1^14*T2^14 - 
     1775*T1^15*T2^14 + 1361*T1^16*T2^14 - 448*T1^17*T2^14 + 
     629*T1^18*T2^14 - 60*T1^19*T2^14 + 180*T1^20*T2^14 - 33*T1^5*T2^15 - 
     108*T1^6*T2^15 - 73*T1^7*T2^15 - 143*T1^8*T2^15 - 385*T1^9*T2^15 + 
     368*T1^10*T2^15 - 224*T1^11*T2^15 - 872*T1^12*T2^15 + 601*T1^13*T2^15 - 
     1775*T1^14*T2^15 + 1130*T1^15*T2^15 - 880*T1^16*T2^15 + 
     517*T1^17*T2^15 - 679*T1^18*T2^15 + 192*T1^19*T2^15 - 198*T1^20*T2^15 + 
     60*T1^6*T2^16 + 12*T1^7*T2^16 + 125*T1^8*T2^16 + 23*T1^9*T2^16 + 
     273*T1^10*T2^16 - 592*T1^11*T2^16 + 1097*T1^12*T2^16 - 853*T1^13*T2^16 + 
     1361*T1^14*T2^16 - 880*T1^15*T2^16 + 897*T1^16*T2^16 - 817*T1^17*T2^16 + 
     773*T1^18*T2^16 - 300*T1^19*T2^16 + 180*T1^20*T2^16 - 63*T1^7*T2^17 + 
     76*T1^8*T2^17 - 205*T1^9*T2^17 + 129*T1^10*T2^17 - 83*T1^11*T2^17 - 
     11*T1^12*T2^17 - 7*T1^13*T2^17 - 448*T1^14*T2^17 + 517*T1^15*T2^17 - 
     817*T1^16*T2^17 + 855*T1^17*T2^17 - 678*T1^18*T2^17 + 284*T1^19*T2^17 - 
     126*T1^20*T2^17 + 44*T1^8*T2^18 - 96*T1^9*T2^18 + 229*T1^10*T2^18 - 
     304*T1^11*T2^18 + 355*T1^12*T2^18 - 415*T1^13*T2^18 + 629*T1^14*T2^18 - 
     679*T1^15*T2^18 + 773*T1^16*T2^18 - 678*T1^17*T2^18 + 449*T1^18*T2^18 - 
     184*T1^19*T2^18 + 66*T1^20*T2^18 - 20*T1^9*T2^19 + 56*T1^10*T2^19 - 
     124*T1^11*T2^19 + 156*T1^12*T2^19 - 96*T1^13*T2^19 - 60*T1^14*T2^19 + 
     192*T1^15*T2^19 - 300*T1^16*T2^19 + 284*T1^17*T2^19 - 184*T1^18*T2^19 + 
     76*T1^19*T2^19 - 24*T1^20*T2^19 + 6*T1^10*T2^20 - 24*T1^11*T2^20 + 
     66*T1^12*T2^20 - 126*T1^13*T2^20 + 180*T1^14*T2^20 - 198*T1^15*T2^20 + 
     180*T1^16*T2^20 - 126*T1^17*T2^20 + 66*T1^18*T2^20 - 24*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 899] -> 
  {(2 - 8*T + 20*T^2 - 35*T^3 + 43*T^4 - 35*T^5 + 20*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 124*T1 - 310*T1^2 + 543*T1^3 - 667*T1^4 + 543*T1^5 - 
     310*T1^6 + 124*T1^7 - 31*T1^8 + 124*T2 - 404*T1*T2 + 872*T1^2*T2 - 
     1252*T1^3*T2 + 1056*T1^4*T2 - 192*T1^5*T2 - 372*T1^6*T2 + 424*T1^7*T2 - 
     244*T1^8*T2 + 92*T1^9*T2 - 310*T2^2 + 872*T1*T2^2 - 1778*T1^2*T2^2 + 
     2346*T1^3*T2^2 - 1698*T1^4*T2^2 + 100*T1^5*T2^2 + 142*T1^6*T2^2 + 
     186*T1^7*T2^2 - 338*T1^8*T2^2 + 232*T1^9*T2^2 - 150*T1^10*T2^2 + 
     543*T2^3 - 1252*T1*T2^3 + 2346*T1^2*T2^3 - 2566*T1^3*T2^3 + 
     991*T1^4*T2^3 + 1059*T1^5*T2^3 + 129*T1^6*T2^3 - 919*T1^7*T2^3 + 
     724*T1^8*T2^3 - 254*T1^9*T2^3 + 108*T1^10*T2^3 + 123*T1^11*T2^3 - 
     667*T2^4 + 1056*T1*T2^4 - 1698*T1^2*T2^4 + 991*T1^3*T2^4 + 
     1082*T1^4*T2^4 - 1806*T1^5*T2^4 - 1940*T1^6*T2^4 + 1786*T1^7*T2^4 + 
     66*T1^8*T2^4 - 969*T1^9*T2^4 + 702*T1^10*T2^4 - 576*T1^11*T2^4 + 
     21*T1^12*T2^4 + 543*T2^5 - 192*T1*T2^5 + 100*T1^2*T2^5 + 
     1059*T1^3*T2^5 - 1806*T1^4*T2^5 - 744*T1^5*T2^5 + 5769*T1^6*T2^5 - 
     1871*T1^7*T2^5 - 1926*T1^8*T2^5 + 1728*T1^9*T2^5 - 331*T1^10*T2^5 - 
     44*T1^11*T2^5 + 544*T1^12*T2^5 - 157*T1^13*T2^5 - 310*T2^6 - 
     372*T1*T2^6 + 142*T1^2*T2^6 + 129*T1^3*T2^6 - 1940*T1^4*T2^6 + 
     5769*T1^5*T2^6 - 6370*T1^6*T2^6 - 3638*T1^7*T2^6 + 7270*T1^8*T2^6 - 
     3151*T1^9*T2^6 + 140*T1^10*T2^6 + 369*T1^11*T2^6 - 578*T1^12*T2^6 - 
     52*T1^13*T2^6 + 170*T1^14*T2^6 + 124*T2^7 + 424*T1*T2^7 + 
     186*T1^2*T2^7 - 919*T1^3*T2^7 + 1786*T1^4*T2^7 - 1871*T1^5*T2^7 - 
     3638*T1^6*T2^7 + 13325*T1^7*T2^7 - 9845*T1^8*T2^7 - 603*T1^9*T2^7 + 
     3209*T1^10*T2^7 - 1980*T1^11*T2^7 + 791*T1^12*T2^7 + 146*T1^13*T2^7 - 
     280*T1^14*T2^7 - 100*T1^15*T2^7 - 31*T2^8 - 244*T1*T2^8 - 
     338*T1^2*T2^8 + 724*T1^3*T2^8 + 66*T1^4*T2^8 - 1926*T1^5*T2^8 + 
     7270*T1^6*T2^8 - 9845*T1^7*T2^8 + 180*T1^8*T2^8 + 9961*T1^9*T2^8 - 
     6080*T1^10*T2^8 + 1566*T1^11*T2^8 + 402*T1^12*T2^8 - 616*T1^13*T2^8 + 
     430*T1^14*T2^8 + 268*T1^15*T2^8 + 33*T1^16*T2^8 + 92*T1*T2^9 + 
     232*T1^2*T2^9 - 254*T1^3*T2^9 - 969*T1^4*T2^9 + 1728*T1^5*T2^9 - 
     3151*T1^6*T2^9 - 603*T1^7*T2^9 + 9961*T1^8*T2^9 - 13209*T1^9*T2^9 + 
     2432*T1^10*T2^9 + 1929*T1^11*T2^9 - 2038*T1^12*T2^9 + 741*T1^13*T2^9 - 
     294*T1^14*T2^9 - 472*T1^15*T2^9 - 132*T1^16*T2^9 - 150*T1^2*T2^10 + 
     108*T1^3*T2^10 + 702*T1^4*T2^10 - 331*T1^5*T2^10 + 140*T1^6*T2^10 + 
     3209*T1^7*T2^10 - 6080*T1^8*T2^10 + 2432*T1^9*T2^10 + 7560*T1^10*T2^10 - 
     5711*T1^11*T2^10 + 2220*T1^12*T2^10 - 91*T1^13*T2^10 - 18*T1^14*T2^10 + 
     428*T1^15*T2^10 + 330*T1^16*T2^10 + 123*T1^3*T2^11 - 576*T1^4*T2^11 - 
     44*T1^5*T2^11 + 369*T1^6*T2^11 - 1980*T1^7*T2^11 + 1566*T1^8*T2^11 + 
     1929*T1^9*T2^11 - 5711*T1^10*T2^11 + 384*T1^11*T2^11 + 
     1554*T1^12*T2^11 - 1021*T1^13*T2^11 - 188*T1^14*T2^11 + 
     160*T1^15*T2^11 - 577*T1^16*T2^11 + 21*T1^4*T2^12 + 544*T1^5*T2^12 - 
     578*T1^6*T2^12 + 791*T1^7*T2^12 + 402*T1^8*T2^12 - 2038*T1^9*T2^12 + 
     2220*T1^10*T2^12 + 1554*T1^11*T2^12 - 614*T1^12*T2^12 - 
     1169*T1^13*T2^12 + 1822*T1^14*T2^12 - 1088*T1^15*T2^12 + 
     709*T1^16*T2^12 - 157*T1^5*T2^13 - 52*T1^6*T2^13 + 146*T1^7*T2^13 - 
     616*T1^8*T2^13 + 741*T1^9*T2^13 - 91*T1^10*T2^13 - 1021*T1^11*T2^13 - 
     1169*T1^12*T2^13 + 2674*T1^13*T2^13 - 2454*T1^14*T2^13 + 
     1308*T1^15*T2^13 - 577*T1^16*T2^13 + 170*T1^6*T2^14 - 280*T1^7*T2^14 + 
     430*T1^8*T2^14 - 294*T1^9*T2^14 - 18*T1^10*T2^14 - 188*T1^11*T2^14 + 
     1822*T1^12*T2^14 - 2454*T1^13*T2^14 + 1870*T1^14*T2^14 - 
     920*T1^15*T2^14 + 330*T1^16*T2^14 - 100*T1^7*T2^15 + 268*T1^8*T2^15 - 
     472*T1^9*T2^15 + 428*T1^10*T2^15 + 160*T1^11*T2^15 - 1088*T1^12*T2^15 + 
     1308*T1^13*T2^15 - 920*T1^14*T2^15 + 428*T1^15*T2^15 - 132*T1^16*T2^15 + 
     33*T1^8*T2^16 - 132*T1^9*T2^16 + 330*T1^10*T2^16 - 577*T1^11*T2^16 + 
     709*T1^12*T2^16 - 577*T1^13*T2^16 + 330*T1^14*T2^16 - 132*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 900] -> 
  {(8 - 29*T + 54*T^2 - 65*T^3 + 54*T^4 - 29*T^5 + 8*T^6)/T^3, 
   -((3160 - 11307*T1 + 20906*T1^2 - 25096*T1^3 + 20906*T1^4 - 11307*T1^5 + 
      3160*T1^6 - 11307*T2 + 31140*T1*T2 - 41342*T1^2*T2 + 27674*T1^3*T2 + 
      66*T1^4*T2 - 22086*T1^5*T2 + 22556*T1^6*T2 - 9451*T1^7*T2 + 
      20906*T2^2 - 41342*T1*T2^2 + 31221*T1^2*T2^2 + 9540*T1^3*T2^2 - 
      41191*T1^4*T2^2 + 40644*T1^5*T2^2 - 8523*T1^6*T2^2 - 16286*T1^7*T2^2 + 
      13994*T1^8*T2^2 - 25096*T2^3 + 27674*T1*T2^3 + 9540*T1^2*T2^3 - 
      52968*T1^3*T2^3 + 48596*T1^4*T2^3 - 8278*T1^5*T2^3 - 36870*T1^6*T2^3 + 
      35838*T1^7*T2^3 - 5038*T1^8*T2^3 - 12616*T1^9*T2^3 + 20906*T2^4 + 
      66*T1*T2^4 - 41191*T1^2*T2^4 + 48596*T1^3*T2^4 + 2660*T1^4*T2^4 - 
      49248*T1^5*T2^4 + 58892*T1^6*T2^4 - 12504*T1^7*T2^4 - 25173*T1^8*T2^4 + 
      20018*T1^9*T2^4 + 7082*T1^10*T2^4 - 11307*T2^5 - 22086*T1*T2^5 + 
      40644*T1^2*T2^5 - 8278*T1^3*T2^5 - 49248*T1^4*T2^5 + 53940*T1^5*T2^5 - 
      16736*T1^6*T2^5 - 38232*T1^7*T2^5 + 40144*T1^8*T2^5 - 4878*T1^9*T2^5 - 
      18142*T1^10*T2^5 - 2027*T1^11*T2^5 + 3160*T2^6 + 22556*T1*T2^6 - 
      8523*T1^2*T2^6 - 36870*T1^3*T2^6 + 58892*T1^4*T2^6 - 16736*T1^5*T2^6 - 
      30480*T1^6*T2^6 + 49608*T1^7*T2^6 - 11456*T1^8*T2^6 - 24438*T1^9*T2^6 + 
      21641*T1^10*T2^6 + 6780*T1^11*T2^6 + 88*T1^12*T2^6 - 9451*T1*T2^7 - 
      16286*T1^2*T2^7 + 35838*T1^3*T2^7 - 12504*T1^4*T2^7 - 38232*T1^5*T2^7 + 
      49608*T1^6*T2^7 - 21068*T1^7*T2^7 - 27216*T1^8*T2^7 + 35918*T1^9*T2^7 - 
      9684*T1^10*T2^7 - 12342*T1^11*T2^7 - 171*T1^12*T2^7 + 13994*T1^2*T2^8 - 
      5038*T1^3*T2^8 - 25173*T1^4*T2^8 + 40144*T1^5*T2^8 - 11456*T1^6*T2^8 - 
      27216*T1^7*T2^8 + 44776*T1^8*T2^8 - 20956*T1^9*T2^8 - 9155*T1^10*T2^8 + 
      14914*T1^11*T2^8 + 170*T1^12*T2^8 - 12616*T1^3*T2^9 + 20018*T1^4*T2^9 - 
      4878*T1^5*T2^9 - 24438*T1^6*T2^9 + 35918*T1^7*T2^9 - 20956*T1^8*T2^9 - 
      8340*T1^9*T2^9 + 21420*T1^10*T2^9 - 12694*T1^11*T2^9 - 136*T1^12*T2^9 + 
      7082*T1^4*T2^10 - 18142*T1^5*T2^10 + 21641*T1^6*T2^10 - 
      9684*T1^7*T2^10 - 9155*T1^8*T2^10 + 21420*T1^9*T2^10 - 
      18103*T1^10*T2^10 + 6914*T1^11*T2^10 + 170*T1^12*T2^10 - 
      2027*T1^5*T2^11 + 6780*T1^6*T2^11 - 12342*T1^7*T2^11 + 
      14914*T1^8*T2^11 - 12694*T1^9*T2^11 + 6914*T1^10*T2^11 - 
      1804*T1^11*T2^11 - 171*T1^12*T2^11 + 88*T1^6*T2^12 - 171*T1^7*T2^12 + 
      170*T1^8*T2^12 - 136*T1^9*T2^12 + 170*T1^10*T2^12 - 171*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 901] -> 
  {-((1 - 9*T + 27*T^2 - 47*T^3 + 55*T^4 - 47*T^5 + 27*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 81*T1^2 + 141*T1^3 - 165*T1^4 + 141*T1^5 - 
      81*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 567*T1^2*T2 - 
      783*T1^3*T2 + 639*T1^4*T2 - 279*T1^5*T2 - 117*T1^6*T2 + 243*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 81*T2^2 + 567*T1*T2^2 - 757*T1^2*T2^2 - 
      317*T1^3*T2^2 + 2417*T1^4*T2^2 - 3819*T1^5*T2^2 + 3929*T1^6*T2^2 - 
      2369*T1^7*T2^2 + 647*T1^8*T2^2 + 81*T1^9*T2^2 - 27*T1^10*T2^2 + 
      141*T2^3 - 783*T1*T2^3 - 317*T1^2*T2^3 + 4242*T1^3*T2^3 - 
      8401*T1^4*T2^3 + 8605*T1^5*T2^3 - 5747*T1^6*T2^3 + 557*T1^7*T2^3 + 
      2262*T1^8*T2^3 - 1694*T1^9*T2^3 + 243*T1^10*T2^3 - 165*T2^4 + 
      639*T1*T2^4 + 2417*T1^2*T2^4 - 8401*T1^3*T2^4 + 11194*T1^4*T2^4 - 
      6042*T1^5*T2^4 - 1548*T1^6*T2^4 + 9286*T1^7*T2^4 - 9074*T1^8*T2^4 + 
      3255*T1^9*T2^4 + 743*T1^10*T2^4 - 495*T1^11*T2^4 + 55*T1^12*T2^4 + 
      141*T2^5 - 279*T1*T2^5 - 3819*T1^2*T2^5 + 8605*T1^3*T2^5 - 
      6042*T1^4*T2^5 - 4825*T1^5*T2^5 + 12643*T1^6*T2^5 - 15365*T1^7*T2^5 + 
      5321*T1^8*T2^5 + 6629*T1^9*T2^5 - 7755*T1^10*T2^5 + 1932*T1^11*T2^5 + 
      351*T1^12*T2^5 - 94*T1^13*T2^5 - 81*T2^6 - 117*T1*T2^6 + 
      3929*T1^2*T2^6 - 5747*T1^3*T2^6 - 1548*T1^4*T2^6 + 12643*T1^5*T2^6 - 
      14038*T1^6*T2^6 + 7378*T1^7*T2^6 + 9038*T1^8*T2^6 - 16463*T1^9*T2^6 + 
      5058*T1^10*T2^6 + 5593*T1^11*T2^6 - 3955*T1^12*T2^6 + 117*T1^13*T2^6 + 
      81*T1^14*T2^6 + 27*T2^7 + 243*T1*T2^7 - 2369*T1^2*T2^7 + 
      557*T1^3*T2^7 + 9286*T1^4*T2^7 - 15365*T1^5*T2^7 + 7378*T1^6*T2^7 + 
      6570*T1^7*T2^7 - 18492*T1^8*T2^7 + 11639*T1^9*T2^7 + 10447*T1^10*T2^7 - 
      14013*T1^11*T2^7 + 2391*T1^12*T2^7 + 3058*T1^13*T2^7 - 405*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 647*T1^2*T2^8 + 2262*T1^3*T2^8 - 
      9074*T1^4*T2^8 + 5321*T1^5*T2^8 + 9038*T1^6*T2^8 - 18492*T1^7*T2^8 + 
      12336*T1^8*T2^8 + 6968*T1^9*T2^8 - 24008*T1^10*T2^8 + 9491*T1^11*T2^8 + 
      7494*T1^12*T2^8 - 6818*T1^13*T2^8 - 595*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 81*T1^2*T2^9 - 1694*T1^3*T2^9 + 
      3255*T1^4*T2^9 + 6629*T1^5*T2^9 - 16463*T1^6*T2^9 + 11639*T1^7*T2^9 + 
      6968*T1^8*T2^9 - 18094*T1^9*T2^9 + 15900*T1^10*T2^9 + 9349*T1^11*T2^9 - 
      16670*T1^12*T2^9 + 5089*T1^13*T2^9 + 3733*T1^14*T2^9 - 567*T1^15*T2^9 - 
      45*T1^16*T2^9 - 27*T1^2*T2^10 + 243*T1^3*T2^10 + 743*T1^4*T2^10 - 
      7755*T1^5*T2^10 + 5058*T1^6*T2^10 + 10447*T1^7*T2^10 - 
      24008*T1^8*T2^10 + 15900*T1^9*T2^10 - 932*T1^10*T2^10 - 
      18659*T1^11*T2^10 + 11664*T1^12*T2^10 + 3585*T1^13*T2^10 - 
      7141*T1^14*T2^10 + 477*T1^15*T2^10 + 135*T1^16*T2^10 - 495*T1^4*T2^11 + 
      1932*T1^5*T2^11 + 5593*T1^6*T2^11 - 14013*T1^7*T2^11 + 
      9491*T1^8*T2^11 + 9349*T1^9*T2^11 - 18659*T1^10*T2^11 + 
      19637*T1^11*T2^11 - 1342*T1^12*T2^11 - 10767*T1^13*T2^11 + 
      7683*T1^14*T2^11 + 135*T1^15*T2^11 - 235*T1^16*T2^11 + 55*T1^4*T2^12 + 
      351*T1^5*T2^12 - 3955*T1^6*T2^12 + 2391*T1^7*T2^12 + 7494*T1^8*T2^12 - 
      16670*T1^9*T2^12 + 11664*T1^10*T2^12 - 1342*T1^11*T2^12 - 
      12774*T1^12*T2^12 + 14047*T1^13*T2^12 - 5629*T1^14*T2^12 - 
      783*T1^15*T2^12 + 275*T1^16*T2^12 - 94*T1^5*T2^13 + 117*T1^6*T2^13 + 
      3058*T1^7*T2^13 - 6818*T1^8*T2^13 + 5089*T1^9*T2^13 + 
      3585*T1^10*T2^13 - 10767*T1^11*T2^13 + 14047*T1^12*T2^13 - 
      8798*T1^13*T2^13 + 1681*T1^14*T2^13 + 1143*T1^15*T2^13 - 
      235*T1^16*T2^13 + 81*T1^6*T2^14 - 405*T1^7*T2^14 - 595*T1^8*T2^14 + 
      3733*T1^9*T2^14 - 7141*T1^10*T2^14 + 7683*T1^11*T2^14 - 
      5629*T1^12*T2^14 + 1681*T1^13*T2^14 + 809*T1^14*T2^14 - 
      891*T1^15*T2^14 + 135*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      567*T1^9*T2^15 + 477*T1^10*T2^15 + 135*T1^11*T2^15 - 783*T1^12*T2^15 + 
      1143*T1^13*T2^15 - 891*T1^14*T2^15 + 369*T1^15*T2^15 - 45*T1^16*T2^15 + 
      5*T1^8*T2^16 - 45*T1^9*T2^16 + 135*T1^10*T2^16 - 235*T1^11*T2^16 + 
      275*T1^12*T2^16 - 235*T1^13*T2^16 + 135*T1^14*T2^16 - 45*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 902] -> 
  {-((2 - 18*T + 51*T^2 - 71*T^3 + 51*T^4 - 18*T^5 + 2*T^6)/T^3), 
   -((-23 + 207*T1 - 586*T1^2 + 815*T1^3 - 586*T1^4 + 207*T1^5 - 23*T1^6 + 
      207*T2 - 1728*T1*T2 + 4059*T1^2*T2 - 3897*T1^3*T2 + 495*T1^4*T2 + 
      1575*T1^5*T2 - 1008*T1^6*T2 + 135*T1^7*T2 - 586*T2^2 + 4059*T1*T2^2 - 
      4197*T1^2*T2^2 - 8474*T1^3*T2^2 + 23393*T1^4*T2^2 - 19286*T1^5*T2^2 + 
      5799*T1^6*T2^2 + 387*T1^7*T2^2 - 178*T1^8*T2^2 + 815*T2^3 - 
      3897*T1*T2^3 - 8474*T1^2*T2^3 + 43932*T1^3*T2^3 - 59647*T1^4*T2^3 + 
      22955*T1^5*T2^3 + 11688*T1^6*T2^3 - 11840*T1^7*T2^3 + 1935*T1^8*T2^3 - 
      37*T1^9*T2^3 - 586*T2^4 + 495*T1*T2^4 + 23393*T1^2*T2^4 - 
      59647*T1^3*T2^4 + 36564*T1^4*T2^4 + 49052*T1^5*T2^4 - 78912*T1^6*T2^4 + 
      36629*T1^7*T2^4 - 1807*T1^8*T2^4 - 1737*T1^9*T2^4 + 230*T1^10*T2^4 + 
      207*T2^5 + 1575*T1*T2^5 - 19286*T1^2*T2^5 + 22955*T1^3*T2^5 + 
      49052*T1^4*T2^5 - 141567*T1^5*T2^5 + 113769*T1^6*T2^5 - 
      8935*T1^7*T2^5 - 32299*T1^8*T2^5 + 13864*T1^9*T2^5 - 693*T1^10*T2^5 - 
      153*T1^11*T2^5 - 23*T2^6 - 1008*T1*T2^6 + 5799*T1^2*T2^6 + 
      11688*T1^3*T2^6 - 78912*T1^4*T2^6 + 113769*T1^5*T2^6 - 
      19092*T1^6*T2^6 - 98865*T1^7*T2^6 + 85194*T1^8*T2^6 - 17556*T1^9*T2^6 - 
      5901*T1^10*T2^6 + 1152*T1^11*T2^6 + 25*T1^12*T2^6 + 135*T1*T2^7 + 
      387*T1^2*T2^7 - 11840*T1^3*T2^7 + 36629*T1^4*T2^7 - 8935*T1^5*T2^7 - 
      98865*T1^6*T2^7 + 156471*T1^7*T2^7 - 66922*T1^8*T2^7 - 
      18625*T1^9*T2^7 + 21310*T1^10*T2^7 - 1881*T1^11*T2^7 - 225*T1^12*T2^7 - 
      178*T1^2*T2^8 + 1935*T1^3*T2^8 - 1807*T1^4*T2^8 - 32299*T1^5*T2^8 + 
      85194*T1^6*T2^8 - 66922*T1^7*T2^8 - 30282*T1^8*T2^8 + 63977*T1^9*T2^8 - 
      27007*T1^10*T2^8 - 297*T1^11*T2^8 + 638*T1^12*T2^8 - 37*T1^3*T2^9 - 
      1737*T1^4*T2^9 + 13864*T1^5*T2^9 - 17556*T1^6*T2^9 - 18625*T1^7*T2^9 + 
      63977*T1^8*T2^9 - 49800*T1^9*T2^9 + 10498*T1^10*T2^9 + 
      4095*T1^11*T2^9 - 889*T1^12*T2^9 + 230*T1^4*T2^10 - 693*T1^5*T2^10 - 
      5901*T1^6*T2^10 + 21310*T1^7*T2^10 - 27007*T1^8*T2^10 + 
      10498*T1^9*T2^10 + 4095*T1^10*T2^10 - 4365*T1^11*T2^10 + 
      638*T1^12*T2^10 - 153*T1^5*T2^11 + 1152*T1^6*T2^11 - 1881*T1^7*T2^11 - 
      297*T1^8*T2^11 + 4095*T1^9*T2^11 - 4365*T1^10*T2^11 + 
      1872*T1^11*T2^11 - 225*T1^12*T2^11 + 25*T1^6*T2^12 - 225*T1^7*T2^12 + 
      638*T1^8*T2^12 - 889*T1^9*T2^12 + 638*T1^10*T2^12 - 225*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 903] -> 
  {-(((1 - T + T^2)*(5 - 21*T + 31*T^2 - 21*T^3 + 5*T^4))/T^3), 
   -((-645 + 3325*T1 - 7244*T1^2 + 9265*T1^3 - 7244*T1^4 + 3325*T1^5 - 
      645*T1^6 + 3325*T2 - 14486*T1*T2 + 23647*T1^2*T2 - 17866*T1^3*T2 - 
      966*T1^4*T2 + 12857*T1^5*T2 - 10456*T1^6*T2 + 2675*T1^7*T2 - 
      7244*T2^2 + 23647*T1*T2^2 - 15076*T1^2*T2^2 - 27787*T1^3*T2^2 + 
      67342*T1^4*T2^2 - 54577*T1^5*T2^2 + 14564*T1^6*T2^2 + 8827*T1^7*T2^2 - 
      4394*T1^8*T2^2 + 9265*T2^3 - 17866*T1*T2^3 - 27787*T1^2*T2^3 + 
      92247*T1^3*T2^3 - 94205*T1^4*T2^3 + 7570*T1^5*T2^3 + 54651*T1^6*T2^3 - 
      44260*T1^7*T2^3 + 3194*T1^8*T2^3 + 3790*T1^9*T2^3 - 7244*T2^4 - 
      966*T1*T2^4 + 67342*T1^2*T2^4 - 94205*T1^3*T2^4 + 14350*T1^4*T2^4 + 
      108100*T1^5*T2^4 - 104782*T1^6*T2^4 + 19967*T1^7*T2^4 + 
      33626*T1^8*T2^4 - 11626*T1^9*T2^4 - 1544*T1^10*T2^4 + 3325*T2^5 + 
      12857*T1*T2^5 - 54577*T1^2*T2^5 + 7570*T1^3*T2^5 + 108100*T1^4*T2^5 - 
      155751*T1^5*T2^5 + 36311*T1^6*T2^5 + 72475*T1^7*T2^5 - 
      69411*T1^8*T2^5 + 3164*T1^9*T2^5 + 7527*T1^10*T2^5 + 75*T1^11*T2^5 - 
      645*T2^6 - 10456*T1*T2^6 + 14564*T1^2*T2^6 + 54651*T1^3*T2^6 - 
      104782*T1^4*T2^6 + 36311*T1^5*T2^6 + 110556*T1^6*T2^6 - 
      132387*T1^7*T2^6 + 44272*T1^8*T2^6 + 28881*T1^9*T2^6 - 
      14700*T1^10*T2^6 - 836*T1^11*T2^6 + 105*T1^12*T2^6 + 2675*T1*T2^7 + 
      8827*T1^2*T2^7 - 44260*T1^3*T2^7 + 19967*T1^4*T2^7 + 72475*T1^5*T2^7 - 
      132387*T1^6*T2^7 + 59675*T1^7*T2^7 + 36850*T1^8*T2^7 - 
      57014*T1^9*T2^7 + 13481*T1^10*T2^7 + 3497*T1^11*T2^7 - 575*T1^12*T2^7 - 
      4394*T1^2*T2^8 + 3194*T1^3*T2^8 + 33626*T1^4*T2^8 - 69411*T1^5*T2^8 + 
      44272*T1^6*T2^8 + 36850*T1^7*T2^8 - 74860*T1^8*T2^8 + 44761*T1^9*T2^8 - 
      90*T1^10*T2^8 - 7466*T1^11*T2^8 + 1306*T1^12*T2^8 + 3790*T1^3*T2^9 - 
      11626*T1^4*T2^9 + 3164*T1^5*T2^9 + 28881*T1^6*T2^9 - 57014*T1^7*T2^9 + 
      44761*T1^8*T2^9 - 8715*T1^9*T2^9 - 13309*T1^10*T2^9 + 9434*T1^11*T2^9 - 
      1685*T1^12*T2^9 - 1544*T1^4*T2^10 + 7527*T1^5*T2^10 - 
      14700*T1^6*T2^10 + 13481*T1^7*T2^10 - 90*T1^8*T2^10 - 
      13309*T1^9*T2^10 + 14940*T1^10*T2^10 - 7293*T1^11*T2^10 + 
      1306*T1^12*T2^10 + 75*T1^5*T2^11 - 836*T1^6*T2^11 + 3497*T1^7*T2^11 - 
      7466*T1^8*T2^11 + 9434*T1^9*T2^11 - 7293*T1^10*T2^11 + 
      3194*T1^11*T2^11 - 575*T1^12*T2^11 + 105*T1^6*T2^12 - 575*T1^7*T2^12 + 
      1306*T1^8*T2^12 - 1685*T1^9*T2^12 + 1306*T1^10*T2^12 - 
      575*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 904] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-41 + 205*T1 - 471*T1^2 + 737*T1^3 - 839*T1^4 + 737*T1^5 - 
      471*T1^6 + 205*T1^7 - 41*T1^8 + 205*T2 - 860*T1*T2 + 1530*T1^2*T2 - 
      1790*T1^3*T2 + 1230*T1^4*T2 - 310*T1^5*T2 - 610*T1^6*T2 + 870*T1^7*T2 - 
      620*T1^8*T2 + 165*T1^9*T2 - 471*T2^2 + 1530*T1*T2^2 - 1567*T1^2*T2^2 + 
      397*T1^3*T2^2 + 1959*T1^4*T2^2 - 3343*T1^5*T2^2 + 3615*T1^6*T2^2 - 
      1995*T1^7*T2^2 + 365*T1^8*T2^2 + 610*T1^9*T2^2 - 287*T1^10*T2^2 + 
      737*T2^3 - 1790*T1*T2^3 + 397*T1^2*T2^3 + 1768*T1^3*T2^3 - 
      4218*T1^4*T2^3 + 3356*T1^5*T2^3 - 1610*T1^6*T2^3 - 1664*T1^7*T2^3 + 
      2386*T1^8*T2^3 - 1811*T1^9*T2^3 - 90*T1^10*T2^3 + 305*T1^11*T2^3 - 
      839*T2^4 + 1230*T1*T2^4 + 1959*T1^2*T2^4 - 4218*T1^3*T2^4 + 
      5796*T1^4*T2^4 - 2579*T1^5*T2^4 + 758*T1^6*T2^4 + 1853*T1^7*T2^4 - 
      132*T1^8*T2^4 - 906*T1^9*T2^4 + 2303*T1^10*T2^4 - 610*T1^11*T2^4 - 
      183*T1^12*T2^4 + 737*T2^5 - 310*T1*T2^5 - 3343*T1^2*T2^5 + 
      3356*T1^3*T2^5 - 2579*T1^4*T2^5 - 2102*T1^5*T2^5 + 1500*T1^6*T2^5 - 
      1566*T1^7*T2^5 - 2300*T1^8*T2^5 + 2077*T1^9*T2^5 - 2038*T1^10*T2^5 - 
      979*T1^11*T2^5 + 830*T1^12*T2^5 + 17*T1^13*T2^5 - 471*T2^6 - 
      610*T1*T2^6 + 3615*T1^2*T2^6 - 1610*T1^3*T2^6 + 758*T1^4*T2^6 + 
      1500*T1^5*T2^6 + 2881*T1^6*T2^6 - 3499*T1^7*T2^6 + 5185*T1^8*T2^6 - 
      1312*T1^9*T2^6 - 160*T1^10*T2^6 + 2714*T1^11*T2^6 - 665*T1^12*T2^6 - 
      490*T1^13*T2^6 + 81*T1^14*T2^6 + 205*T2^7 + 870*T1*T2^7 - 
      1995*T1^2*T2^7 - 1664*T1^3*T2^7 + 1853*T1^4*T2^7 - 1566*T1^5*T2^7 - 
      3499*T1^6*T2^7 + 2174*T1^7*T2^7 - 1192*T1^8*T2^7 - 2619*T1^9*T2^7 + 
      2008*T1^10*T2^7 - 1907*T1^11*T2^7 - 1186*T1^12*T2^7 + 1317*T1^13*T2^7 - 
      30*T1^14*T2^7 - 75*T1^15*T2^7 - 41*T2^8 - 620*T1*T2^8 + 365*T1^2*T2^8 + 
      2386*T1^3*T2^8 - 132*T1^4*T2^8 - 2300*T1^5*T2^8 + 5185*T1^6*T2^8 - 
      1192*T1^7*T2^8 - 1188*T1^8*T2^8 + 2728*T1^9*T2^8 - 547*T1^10*T2^8 - 
      596*T1^11*T2^8 + 2328*T1^12*T2^8 - 942*T1^13*T2^8 - 667*T1^14*T2^8 + 
      260*T1^15*T2^8 + 23*T1^16*T2^8 + 165*T1*T2^9 + 610*T1^2*T2^9 - 
      1811*T1^3*T2^9 - 906*T1^4*T2^9 + 2077*T1^5*T2^9 - 1312*T1^6*T2^9 - 
      2619*T1^7*T2^9 + 2728*T1^8*T2^9 - 638*T1^9*T2^9 - 1739*T1^10*T2^9 + 
      2262*T1^11*T2^9 - 1683*T1^12*T2^9 - 428*T1^13*T2^9 + 1501*T1^14*T2^9 - 
      290*T1^15*T2^9 - 115*T1^16*T2^9 - 287*T1^2*T2^10 - 90*T1^3*T2^10 + 
      2303*T1^4*T2^10 - 2038*T1^5*T2^10 - 160*T1^6*T2^10 + 2008*T1^7*T2^10 - 
      547*T1^8*T2^10 - 1739*T1^9*T2^10 + 1757*T1^10*T2^10 - 804*T1^11*T2^10 - 
      1078*T1^12*T2^10 + 2286*T1^13*T2^10 - 1977*T1^14*T2^10 + 
      30*T1^15*T2^10 + 265*T1^16*T2^10 + 305*T1^3*T2^11 - 610*T1^4*T2^11 - 
      979*T1^5*T2^11 + 2714*T1^6*T2^11 - 1907*T1^7*T2^11 - 596*T1^8*T2^11 + 
      2262*T1^9*T2^11 - 804*T1^10*T2^11 - 794*T1^11*T2^11 + 
      2749*T1^12*T2^11 - 2680*T1^13*T2^11 + 1385*T1^14*T2^11 + 
      530*T1^15*T2^11 - 415*T1^16*T2^11 - 183*T1^4*T2^12 + 830*T1^5*T2^12 - 
      665*T1^6*T2^12 - 1186*T1^7*T2^12 + 2328*T1^8*T2^12 - 1683*T1^9*T2^12 - 
      1078*T1^10*T2^12 + 2749*T1^11*T2^12 - 3600*T1^12*T2^12 + 
      2126*T1^13*T2^12 - 321*T1^14*T2^12 - 1010*T1^15*T2^12 + 
      473*T1^16*T2^12 + 17*T1^5*T2^13 - 490*T1^6*T2^13 + 1317*T1^7*T2^13 - 
      942*T1^8*T2^13 - 428*T1^9*T2^13 + 2286*T1^10*T2^13 - 2680*T1^11*T2^13 + 
      2126*T1^12*T2^13 - 324*T1^13*T2^13 - 891*T1^14*T2^13 + 
      1210*T1^15*T2^13 - 415*T1^16*T2^13 + 81*T1^6*T2^14 - 30*T1^7*T2^14 - 
      667*T1^8*T2^14 + 1501*T1^9*T2^14 - 1977*T1^10*T2^14 + 
      1385*T1^11*T2^14 - 321*T1^12*T2^14 - 891*T1^13*T2^14 + 
      1265*T1^14*T2^14 - 950*T1^15*T2^14 + 265*T1^16*T2^14 - 75*T1^7*T2^15 + 
      260*T1^8*T2^15 - 290*T1^9*T2^15 + 30*T1^10*T2^15 + 530*T1^11*T2^15 - 
      1010*T1^12*T2^15 + 1210*T1^13*T2^15 - 950*T1^14*T2^15 + 
      500*T1^15*T2^15 - 115*T1^16*T2^15 + 23*T1^8*T2^16 - 115*T1^9*T2^16 + 
      265*T1^10*T2^16 - 415*T1^11*T2^16 + 473*T1^12*T2^16 - 415*T1^13*T2^16 + 
      265*T1^14*T2^16 - 115*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 905] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-208 + 1040*T1 - 2232*T1^2 + 2856*T1^3 - 2232*T1^4 + 1040*T1^5 - 
      208*T1^6 + 1040*T2 - 4480*T1*T2 + 7560*T1^2*T2 - 6560*T1^3*T2 + 
      1280*T1^4*T2 + 2520*T1^5*T2 - 2560*T1^6*T2 + 720*T1^7*T2 - 2232*T2^2 + 
      7560*T1*T2^2 - 6838*T1^2*T2^2 - 3526*T1^3*T2^2 + 16076*T1^4*T2^2 - 
      15566*T1^5*T2^2 + 6578*T1^6*T2^2 + 680*T1^7*T2^2 - 856*T1^8*T2^2 + 
      2856*T2^3 - 6560*T1*T2^3 - 3526*T1^2*T2^3 + 21824*T1^3*T2^3 - 
      30246*T1^4*T2^3 + 12454*T1^5*T2^3 + 6584*T1^6*T2^3 - 11266*T1^7*T2^3 + 
      3200*T1^8*T2^3 + 216*T1^9*T2^3 - 2232*T2^4 + 1280*T1*T2^4 + 
      16076*T1^2*T2^4 - 30246*T1^3*T2^4 + 21026*T1^4*T2^4 + 14140*T1^5*T2^4 - 
      29142*T1^6*T2^4 + 17714*T1^7*T2^4 + 1660*T1^8*T2^4 - 3680*T1^9*T2^4 + 
      520*T1^10*T2^4 + 1040*T2^5 + 2520*T1*T2^5 - 15566*T1^2*T2^5 + 
      12454*T1^3*T2^5 + 14140*T1^4*T2^5 - 45271*T1^5*T2^5 + 33559*T1^6*T2^5 + 
      165*T1^7*T2^5 - 19726*T1^8*T2^5 + 9374*T1^9*T2^5 + 200*T1^10*T2^5 - 
      560*T1^11*T2^5 - 208*T2^6 - 2560*T1*T2^6 + 6578*T1^2*T2^6 + 
      6584*T1^3*T2^6 - 29142*T1^4*T2^6 + 33559*T1^5*T2^6 + 2736*T1^6*T2^6 - 
      35391*T1^7*T2^6 + 31208*T1^8*T2^6 - 3856*T1^9*T2^6 - 6502*T1^10*T2^6 + 
      1920*T1^11*T2^6 + 176*T1^12*T2^6 + 720*T1*T2^7 + 680*T1^2*T2^7 - 
      11266*T1^3*T2^7 + 17714*T1^4*T2^7 + 165*T1^5*T2^7 - 35391*T1^6*T2^7 + 
      43439*T1^7*T2^7 - 13810*T1^8*T2^7 - 14466*T1^9*T2^7 + 
      13674*T1^10*T2^7 - 1640*T1^11*T2^7 - 880*T1^12*T2^7 - 856*T1^2*T2^8 + 
      3200*T1^3*T2^8 + 1660*T1^4*T2^8 - 19726*T1^5*T2^8 + 31208*T1^6*T2^8 - 
      13810*T1^7*T2^8 - 18960*T1^8*T2^8 + 28234*T1^9*T2^8 - 
      12756*T1^10*T2^8 - 1760*T1^11*T2^8 + 1896*T1^12*T2^8 + 216*T1^3*T2^9 - 
      3680*T1^4*T2^9 + 9374*T1^5*T2^9 - 3856*T1^6*T2^9 - 14466*T1^7*T2^9 + 
      28234*T1^8*T2^9 - 19096*T1^9*T2^9 + 1634*T1^10*T2^9 + 6080*T1^11*T2^9 - 
      2424*T1^12*T2^9 + 520*T1^4*T2^10 + 200*T1^5*T2^10 - 6502*T1^6*T2^10 + 
      13674*T1^7*T2^10 - 12756*T1^8*T2^10 + 1634*T1^9*T2^10 + 
      6914*T1^10*T2^10 - 6680*T1^11*T2^10 + 1896*T1^12*T2^10 - 
      560*T1^5*T2^11 + 1920*T1^6*T2^11 - 1640*T1^7*T2^11 - 1760*T1^8*T2^11 + 
      6080*T1^9*T2^11 - 6680*T1^10*T2^11 + 3840*T1^11*T2^11 - 
      880*T1^12*T2^11 + 176*T1^6*T2^12 - 880*T1^7*T2^12 + 1896*T1^8*T2^12 - 
      2424*T1^9*T2^12 + 1896*T1^10*T2^12 - 880*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 906] -> 
  {(1 - 8*T + 26*T^2 - 53*T^3 + 69*T^4 - 53*T^5 + 26*T^6 - 8*T^7 + T^8)/T^4, 
   ((1 - 8*T1 + 26*T1^2 - 53*T1^3 + 69*T1^4 - 53*T1^5 + 26*T1^6 - 8*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 24*T1*T2 + 56*T1^2*T2^2 - 77*T1^3*T2^3 + 
      56*T1^4*T2^4 - 24*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 8*T2 + 26*T2^2 - 
      53*T2^3 + 69*T2^4 - 53*T2^5 + 26*T2^6 - 8*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 907] -> 
  {(2 - 11*T + 29*T^2 - 45*T^3 + 51*T^4 - 45*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 705*T1^2 + 1092*T1^3 - 1237*T1^4 + 1092*T1^5 - 
     705*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1242*T1*T2 + 2632*T1^2*T2 - 
     2756*T1^3*T2 + 1784*T1^4*T2 - 328*T1^5*T2 - 1128*T1^6*T2 + 
     1752*T1^7*T2 - 956*T1^8*T2 + 224*T1^9*T2 - 705*T2^2 + 2632*T1*T2^2 - 
     3906*T1^2*T2^2 + 621*T1^3*T2^2 + 2853*T1^4*T2^2 - 4896*T1^5*T2^2 + 
     5405*T1^6*T2^2 - 3323*T1^7*T2^2 - 774*T1^8*T2^2 + 1356*T1^9*T2^2 - 
     473*T1^10*T2^2 + 1092*T2^3 - 2756*T1*T2^3 + 621*T1^2*T2^3 + 
     8649*T1^3*T2^3 - 10523*T1^4*T2^3 + 7629*T1^5*T2^3 - 3015*T1^6*T2^3 - 
     3657*T1^7*T2^3 + 8579*T1^8*T2^3 - 3062*T1^9*T2^3 - 424*T1^10*T2^3 + 
     552*T1^11*T2^3 - 1237*T2^4 + 1784*T1*T2^4 + 2853*T1^2*T2^4 - 
     10523*T1^3*T2^4 - 1123*T1^4*T2^4 + 12392*T1^5*T2^4 - 18055*T1^6*T2^4 + 
     20300*T1^7*T2^4 - 14791*T1^8*T2^4 - 2153*T1^9*T2^4 + 3795*T1^10*T2^4 - 
     724*T1^11*T2^4 - 421*T1^12*T2^4 + 1092*T2^5 - 328*T1*T2^5 - 
     4896*T1^2*T2^5 + 7629*T1^3*T2^5 + 12392*T1^4*T2^5 - 17044*T1^5*T2^5 + 
     12254*T1^6*T2^5 - 6484*T1^7*T2^5 - 3670*T1^8*T2^5 + 16343*T1^9*T2^5 - 
     3963*T1^10*T2^5 - 2043*T1^11*T2^5 + 1256*T1^12*T2^5 + 192*T1^13*T2^5 - 
     705*T2^6 - 1128*T1*T2^6 + 5405*T1^2*T2^6 - 3015*T1^3*T2^6 - 
     18055*T1^4*T2^6 + 12254*T1^5*T2^6 - 3505*T1^6*T2^6 + 711*T1^7*T2^6 + 
     3647*T1^8*T2^6 - 6958*T1^9*T2^6 - 9541*T1^10*T2^6 + 6207*T1^11*T2^6 - 
     367*T1^12*T2^6 - 996*T1^13*T2^6 - 9*T1^14*T2^6 + 268*T2^7 + 
     1752*T1*T2^7 - 3323*T1^2*T2^7 - 3657*T1^3*T2^7 + 20300*T1^4*T2^7 - 
     6484*T1^5*T2^7 + 711*T1^6*T2^7 - 4369*T1^7*T2^7 + 3223*T1^8*T2^7 - 
     1690*T1^9*T2^7 + 11306*T1^10*T2^7 + 521*T1^11*T2^7 - 4507*T1^12*T2^7 + 
     1926*T1^13*T2^7 + 256*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 
     956*T1*T2^8 - 774*T1^2*T2^8 + 8579*T1^3*T2^8 - 14791*T1^4*T2^8 - 
     3670*T1^5*T2^8 + 3647*T1^6*T2^8 + 3223*T1^7*T2^8 + 60*T1^8*T2^8 - 
     2803*T1^9*T2^8 - 959*T1^10*T2^8 - 10114*T1^11*T2^8 + 7177*T1^12*T2^8 - 
     711*T1^13*T2^8 - 1104*T1^14*T2^8 + 144*T1^15*T2^8 + 15*T1^16*T2^8 + 
     224*T1*T2^9 + 1356*T1^2*T2^9 - 3062*T1^3*T2^9 - 2153*T1^4*T2^9 + 
     16343*T1^5*T2^9 - 6958*T1^6*T2^9 - 1690*T1^7*T2^9 - 2803*T1^8*T2^9 + 
     4789*T1^9*T2^9 - 4091*T1^10*T2^9 + 10832*T1^11*T2^9 - 3436*T1^12*T2^9 - 
     3003*T1^13*T2^9 + 2187*T1^14*T2^9 - 140*T1^15*T2^9 - 84*T1^16*T2^9 - 
     473*T1^2*T2^10 - 424*T1^3*T2^10 + 3795*T1^4*T2^10 - 3963*T1^5*T2^10 - 
     9541*T1^6*T2^10 + 11306*T1^7*T2^10 - 959*T1^8*T2^10 - 4091*T1^9*T2^10 + 
     6193*T1^10*T2^10 - 7906*T1^11*T2^10 - 1027*T1^12*T2^10 + 
     5259*T1^13*T2^10 - 1977*T1^14*T2^10 - 292*T1^15*T2^10 + 
     223*T1^16*T2^10 + 552*T1^3*T2^11 - 724*T1^4*T2^11 - 2043*T1^5*T2^11 + 
     6207*T1^6*T2^11 + 521*T1^7*T2^11 - 10114*T1^8*T2^11 + 10832*T1^9*T2^11 - 
     7906*T1^10*T2^11 + 3260*T1^11*T2^11 + 4472*T1^12*T2^11 - 
     5385*T1^13*T2^11 + 810*T1^14*T2^11 + 860*T1^15*T2^11 - 348*T1^16*T2^11 - 
     421*T1^4*T2^12 + 1256*T1^5*T2^12 - 367*T1^6*T2^12 - 4507*T1^7*T2^12 + 
     7177*T1^8*T2^12 - 3436*T1^9*T2^12 - 1027*T1^10*T2^12 + 
     4472*T1^11*T2^12 - 6491*T1^12*T2^12 + 3863*T1^13*T2^12 + 
     575*T1^14*T2^12 - 1252*T1^15*T2^12 + 395*T1^16*T2^12 + 192*T1^5*T2^13 - 
     996*T1^6*T2^13 + 1926*T1^7*T2^13 - 711*T1^8*T2^13 - 3003*T1^9*T2^13 + 
     5259*T1^10*T2^13 - 5385*T1^11*T2^13 + 3863*T1^12*T2^13 - 
     781*T1^13*T2^13 - 1757*T1^14*T2^13 + 1336*T1^15*T2^13 - 
     348*T1^16*T2^13 - 9*T1^6*T2^14 + 256*T1^7*T2^14 - 1104*T1^8*T2^14 + 
     2187*T1^9*T2^14 - 1977*T1^10*T2^14 + 810*T1^11*T2^14 + 575*T1^12*T2^14 - 
     1757*T1^13*T2^14 + 2028*T1^14*T2^14 - 1020*T1^15*T2^14 + 
     223*T1^16*T2^14 - 40*T1^7*T2^15 + 144*T1^8*T2^15 - 140*T1^9*T2^15 - 
     292*T1^10*T2^15 + 860*T1^11*T2^15 - 1252*T1^12*T2^15 + 
     1336*T1^13*T2^15 - 1020*T1^14*T2^15 + 430*T1^15*T2^15 - 84*T1^16*T2^15 + 
     15*T1^8*T2^16 - 84*T1^9*T2^16 + 223*T1^10*T2^16 - 348*T1^11*T2^16 + 
     395*T1^12*T2^16 - 348*T1^13*T2^16 + 223*T1^14*T2^16 - 84*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 908] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-272 + 1484*T1 - 3696*T1^2 + 4896*T1^3 - 3696*T1^4 + 1484*T1^5 - 
     272*T1^6 + 1484*T2 - 6966*T1*T2 + 14000*T1^2*T2 - 11384*T1^3*T2 - 
     120*T1^4*T2 + 7224*T1^5*T2 - 4678*T1^6*T2 + 1132*T1^7*T2 - 3696*T2^2 + 
     14000*T1*T2^2 - 18511*T1^2*T2^2 - 6683*T1^3*T2^2 + 34575*T1^4*T2^2 - 
     29123*T1^5*T2^2 + 3929*T1^6*T2^2 + 4320*T1^7*T2^2 - 1936*T1^8*T2^2 + 
     4896*T2^3 - 11384*T1*T2^3 - 6683*T1^2*T2^3 + 64476*T1^3*T2^3 - 
     75000*T1^4*T2^3 + 12428*T1^5*T2^3 + 38758*T1^6*T2^3 - 23403*T1^7*T2^3 + 
     3048*T1^8*T2^3 + 1392*T1^9*T2^3 - 3696*T2^4 - 120*T1*T2^4 + 
     34575*T1^2*T2^4 - 75000*T1^3*T2^4 + 3023*T1^4*T2^4 + 111675*T1^5*T2^4 - 
     115909*T1^6*T2^4 + 24572*T1^7*T2^4 + 12311*T1^8*T2^4 - 6632*T1^9*T2^4 - 
     176*T1^10*T2^4 + 1484*T2^5 + 7224*T1*T2^5 - 29123*T1^2*T2^5 + 
     12428*T1^3*T2^5 + 111675*T1^4*T2^5 - 175171*T1^5*T2^5 + 
     70679*T1^6*T2^5 + 57830*T1^7*T2^5 - 50712*T1^8*T2^5 + 10477*T1^9*T2^5 + 
     2384*T1^10*T2^5 - 276*T1^11*T2^5 - 272*T2^6 - 4678*T1*T2^6 + 
     3929*T1^2*T2^6 + 38758*T1^3*T2^6 - 115909*T1^4*T2^6 + 70679*T1^5*T2^6 + 
     79416*T1^6*T2^6 - 141247*T1^7*T2^6 + 56593*T1^8*T2^6 + 5130*T1^9*T2^6 - 
     9183*T1^10*T2^6 + 954*T1^11*T2^6 + 112*T1^12*T2^6 + 1132*T1*T2^7 + 
     4320*T1^2*T2^7 - 23403*T1^3*T2^7 + 24572*T1^4*T2^7 + 57830*T1^5*T2^7 - 
     141247*T1^6*T2^7 + 104603*T1^7*T2^7 + 3985*T1^8*T2^7 - 38568*T1^9*T2^7 + 
     16197*T1^10*T2^7 - 520*T1^11*T2^7 - 628*T1^12*T2^7 - 1936*T1^2*T2^8 + 
     3048*T1^3*T2^8 + 12311*T1^4*T2^8 - 50712*T1^5*T2^8 + 56593*T1^6*T2^8 + 
     3985*T1^7*T2^8 - 62339*T1^8*T2^8 + 48860*T1^9*T2^8 - 9953*T1^10*T2^8 - 
     3464*T1^11*T2^8 + 1584*T1^12*T2^8 + 1392*T1^3*T2^9 - 6632*T1^4*T2^9 + 
     10477*T1^5*T2^9 + 5130*T1^6*T2^9 - 38568*T1^7*T2^9 + 48860*T1^8*T2^9 - 
     20588*T1^9*T2^9 - 6243*T1^10*T2^9 + 7800*T1^11*T2^9 - 2112*T1^12*T2^9 - 
     176*T1^4*T2^10 + 2384*T1^5*T2^10 - 9183*T1^6*T2^10 + 16197*T1^7*T2^10 - 
     9953*T1^8*T2^10 - 6243*T1^9*T2^10 + 13257*T1^10*T2^10 - 
     7296*T1^11*T2^10 + 1584*T1^12*T2^10 - 276*T1^5*T2^11 + 954*T1^6*T2^11 - 
     520*T1^7*T2^11 - 3464*T1^8*T2^11 + 7800*T1^9*T2^11 - 7296*T1^10*T2^11 + 
     3242*T1^11*T2^11 - 628*T1^12*T2^11 + 112*T1^6*T2^12 - 628*T1^7*T2^12 + 
     1584*T1^8*T2^12 - 2112*T1^9*T2^12 + 1584*T1^10*T2^12 - 628*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 909] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 5*T^2 - 6*T^3 + 5*T^4 - 6*T^5 + 5*T^6 - 
       3*T^7 + T^8))/T^5), -((-7 + 28*T1 - 63*T1^2 + 98*T1^3 - 112*T1^4 + 
      119*T1^5 - 112*T1^6 + 98*T1^7 - 63*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 
      88*T1*T2 + 156*T1^2*T2 - 176*T1^3*T2 + 112*T1^4*T2 - 92*T1^5*T2 + 
      40*T1^6*T2 - 8*T1^7*T2 - 84*T1^8*T2 + 104*T1^9*T2 - 68*T1^10*T2 + 
      24*T1^11*T2 - 63*T2^2 + 156*T1*T2^2 - 227*T1^2*T2^2 + 194*T1^3*T2^2 - 
      59*T1^4*T2^2 + 149*T1^5*T2^2 - 79*T1^6*T2^2 + 95*T1^7*T2^2 + 
      67*T1^8*T2^2 + 14*T1^9*T2^2 - 83*T1^10*T2^2 + 84*T1^11*T2^2 - 
      45*T1^12*T2^2 + 98*T2^3 - 176*T1*T2^3 + 194*T1^2*T2^3 - 80*T1^3*T2^3 - 
      83*T1^4*T2^3 - 203*T1^5*T2^3 - 12*T1^6*T2^3 - 84*T1^7*T2^3 - 
      191*T1^8*T2^3 - 95*T1^9*T2^3 + 82*T1^10*T2^3 - 4*T1^11*T2^3 - 
      44*T1^12*T2^3 + 56*T1^13*T2^3 - 112*T2^4 + 112*T1*T2^4 - 59*T1^2*T2^4 - 
      83*T1^3*T2^4 + 151*T1^4*T2^4 + 344*T1^5*T2^4 + 149*T1^6*T2^4 + 
      131*T1^7*T2^4 + 261*T1^8*T2^4 + 296*T1^9*T2^4 - 9*T1^10*T2^4 - 
      83*T1^11*T2^4 + 69*T1^12*T2^4 - 32*T1^13*T2^4 - 48*T1^14*T2^4 + 
      119*T2^5 - 92*T1*T2^5 + 149*T1^2*T2^5 - 203*T1^3*T2^5 + 344*T1^4*T2^5 - 
      877*T1^5*T2^5 - 494*T1^7*T2^5 - 141*T1^8*T2^5 - 488*T1^9*T2^5 - 
      289*T1^10*T2^5 + 226*T1^11*T2^5 - 111*T1^12*T2^5 + 26*T1^13*T2^5 + 
      56*T1^14*T2^5 + 34*T1^15*T2^5 - 112*T2^6 + 40*T1*T2^6 - 79*T1^2*T2^6 - 
      12*T1^3*T2^6 + 149*T1^4*T2^6 + 1203*T1^6*T2^6 - 433*T1^7*T2^6 + 
      1205*T1^8*T2^6 - 353*T1^9*T2^6 + 1123*T1^10*T2^6 - 432*T1^11*T2^6 + 
      181*T1^12*T2^6 - 60*T1^13*T2^6 - 15*T1^14*T2^6 - 72*T1^15*T2^6 - 
      16*T1^16*T2^6 + 98*T2^7 - 8*T1*T2^7 + 95*T1^2*T2^7 - 84*T1^3*T2^7 + 
      131*T1^4*T2^7 - 494*T1^5*T2^7 - 433*T1^6*T2^7 - 651*T1^7*T2^7 - 
      267*T1^8*T2^7 - 559*T1^9*T2^7 - 367*T1^10*T2^7 - 269*T1^11*T2^7 + 
      25*T1^12*T2^7 + 32*T1^13*T2^7 + 20*T1^14*T2^7 + 34*T1^15*T2^7 + 
      64*T1^16*T2^7 - 63*T2^8 - 84*T1*T2^8 + 67*T1^2*T2^8 - 191*T1^3*T2^8 + 
      261*T1^4*T2^8 - 141*T1^5*T2^8 + 1205*T1^6*T2^8 - 267*T1^7*T2^8 + 
      1319*T1^8*T2^8 - 451*T1^9*T2^8 + 1139*T1^10*T2^8 - 391*T1^11*T2^8 + 
      525*T1^12*T2^8 - 245*T1^13*T2^8 - 11*T1^14*T2^8 - 3*T1^15*T2^8 - 
      53*T1^16*T2^8 - 36*T1^17*T2^8 + 9*T1^18*T2^8 + 28*T2^9 + 104*T1*T2^9 + 
      14*T1^2*T2^9 - 95*T1^3*T2^9 + 296*T1^4*T2^9 - 488*T1^5*T2^9 - 
      353*T1^6*T2^9 - 559*T1^7*T2^9 - 451*T1^8*T2^9 - 382*T1^9*T2^9 - 
      172*T1^10*T2^9 - 283*T1^11*T2^9 + 69*T1^12*T2^9 - 181*T1^13*T2^9 + 
      224*T1^14*T2^9 - 6*T1^15*T2^9 - 11*T1^16*T2^9 + 68*T1^17*T2^9 - 
      4*T1^18*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 - 83*T1^2*T2^10 + 
      82*T1^3*T2^10 - 9*T1^4*T2^10 - 289*T1^5*T2^10 + 1123*T1^6*T2^10 - 
      367*T1^7*T2^10 + 1139*T1^8*T2^10 - 172*T1^9*T2^10 + 420*T1^10*T2^10 - 
      96*T1^11*T2^10 + 119*T1^12*T2^10 - 81*T1^13*T2^10 + 3*T1^14*T2^10 - 
      207*T1^15*T2^10 + 109*T1^16*T2^10 - 66*T1^17*T2^10 - 19*T1^18*T2^10 + 
      20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 84*T1^2*T2^11 - 
      4*T1^3*T2^11 - 83*T1^4*T2^11 + 226*T1^5*T2^11 - 432*T1^6*T2^11 - 
      269*T1^7*T2^11 - 391*T1^8*T2^11 - 283*T1^9*T2^11 - 96*T1^10*T2^11 + 
      114*T1^11*T2^11 - 115*T1^12*T2^11 + 237*T1^13*T2^11 - 97*T1^14*T2^11 + 
      280*T1^15*T2^11 - 76*T1^16*T2^11 + T1^17*T2^11 + 50*T1^18*T2^11 - 
      24*T1^19*T2^11 - 12*T1^20*T2^11 - 45*T1^2*T2^12 - 44*T1^3*T2^12 + 
      69*T1^4*T2^12 - 111*T1^5*T2^12 + 181*T1^6*T2^12 + 25*T1^7*T2^12 + 
      525*T1^8*T2^12 + 69*T1^9*T2^12 + 119*T1^10*T2^12 - 115*T1^11*T2^12 - 
      61*T1^12*T2^12 - 55*T1^13*T2^12 - 155*T1^14*T2^12 - 79*T1^15*T2^12 - 
      91*T1^16*T2^12 + 77*T1^17*T2^12 - 51*T1^18*T2^12 + 4*T1^19*T2^12 + 
      27*T1^20*T2^12 + 56*T1^3*T2^13 - 32*T1^4*T2^13 + 26*T1^5*T2^13 - 
      60*T1^6*T2^13 + 32*T1^7*T2^13 - 245*T1^8*T2^13 - 181*T1^9*T2^13 - 
      81*T1^10*T2^13 + 237*T1^11*T2^13 - 55*T1^12*T2^13 + 203*T1^13*T2^13 - 
      17*T1^14*T2^13 + 274*T1^15*T2^13 - 67*T1^16*T2^13 + 44*T1^17*T2^13 - 
      35*T1^18*T2^13 + 40*T1^19*T2^13 - 42*T1^20*T2^13 - 48*T1^4*T2^14 + 
      56*T1^5*T2^14 - 15*T1^6*T2^14 + 20*T1^7*T2^14 - 11*T1^8*T2^14 + 
      224*T1^9*T2^14 + 3*T1^10*T2^14 - 97*T1^11*T2^14 - 155*T1^12*T2^14 - 
      17*T1^13*T2^14 - 77*T1^14*T2^14 - 208*T1^15*T2^14 + 21*T1^16*T2^14 - 
      28*T1^17*T2^14 + 49*T1^18*T2^14 - 56*T1^19*T2^14 + 48*T1^20*T2^14 + 
      34*T1^5*T2^15 - 72*T1^6*T2^15 + 34*T1^7*T2^15 - 3*T1^8*T2^15 - 
      6*T1^9*T2^15 - 207*T1^10*T2^15 + 280*T1^11*T2^15 - 79*T1^12*T2^15 + 
      274*T1^13*T2^15 - 208*T1^14*T2^15 + 381*T1^15*T2^15 - 124*T1^16*T2^15 + 
      89*T1^17*T2^15 - 89*T1^18*T2^15 + 76*T1^19*T2^15 - 51*T1^20*T2^15 - 
      16*T1^6*T2^16 + 64*T1^7*T2^16 - 53*T1^8*T2^16 - 11*T1^9*T2^16 + 
      109*T1^10*T2^16 - 76*T1^11*T2^16 - 91*T1^12*T2^16 - 67*T1^13*T2^16 + 
      21*T1^14*T2^16 - 124*T1^15*T2^16 - 51*T1^16*T2^16 - 11*T1^17*T2^16 + 
      75*T1^18*T2^16 - 80*T1^19*T2^16 + 48*T1^20*T2^16 - 36*T1^8*T2^17 + 
      68*T1^9*T2^17 - 66*T1^10*T2^17 + T1^11*T2^17 + 77*T1^12*T2^17 + 
      44*T1^13*T2^17 - 28*T1^14*T2^17 + 89*T1^15*T2^17 - 11*T1^16*T2^17 + 
      96*T1^17*T2^17 - 130*T1^18*T2^17 + 96*T1^19*T2^17 - 42*T1^20*T2^17 + 
      9*T1^8*T2^18 - 4*T1^9*T2^18 - 19*T1^10*T2^18 + 50*T1^11*T2^18 - 
      51*T1^12*T2^18 - 35*T1^13*T2^18 + 49*T1^14*T2^18 - 89*T1^15*T2^18 + 
      75*T1^16*T2^18 - 130*T1^17*T2^18 + 125*T1^18*T2^18 - 76*T1^19*T2^18 + 
      27*T1^20*T2^18 - 8*T1^9*T2^19 + 20*T1^10*T2^19 - 24*T1^11*T2^19 + 
      4*T1^12*T2^19 + 40*T1^13*T2^19 - 56*T1^14*T2^19 + 76*T1^15*T2^19 - 
      80*T1^16*T2^19 + 96*T1^17*T2^19 - 76*T1^18*T2^19 + 40*T1^19*T2^19 - 
      12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 27*T1^12*T2^20 - 
      42*T1^13*T2^20 + 48*T1^14*T2^20 - 51*T1^15*T2^20 + 48*T1^16*T2^20 - 
      42*T1^17*T2^20 + 27*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 910] -> 
  {-((2 - 9*T + 22*T^2 - 36*T^3 + 41*T^4 - 36*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 449*T1^2 + 734*T1^3 - 835*T1^4 + 734*T1^5 - 
      449*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1352*T1^2*T2 - 
      1676*T1^3*T2 + 1102*T1^4*T2 - 284*T1^5*T2 - 632*T1^6*T2 + 794*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 449*T2^2 + 1352*T1*T2^2 - 2206*T1^2*T2^2 + 
      1966*T1^3*T2^2 - 176*T1^4*T2^2 - 708*T1^5*T2^2 + 1496*T1^6*T2^2 - 
      410*T1^7*T2^2 - 446*T1^8*T2^2 + 560*T1^9*T2^2 - 273*T1^10*T2^2 + 
      734*T2^3 - 1676*T1*T2^3 + 1966*T1^2*T2^3 - 500*T1^3*T2^3 - 
      2178*T1^4*T2^3 + 1386*T1^5*T2^3 - 1332*T1^6*T2^3 - 1494*T1^7*T2^3 + 
      1570*T1^8*T2^3 - 608*T1^9*T2^3 - 128*T1^10*T2^3 + 302*T1^11*T2^3 - 
      835*T2^4 + 1102*T1*T2^4 - 176*T1^2*T2^4 - 2178*T1^3*T2^4 + 
      3845*T1^4*T2^4 + 383*T1^5*T2^4 - 601*T1^6*T2^4 + 3839*T1^7*T2^4 - 
      859*T1^8*T2^4 - 1026*T1^9*T2^4 + 1208*T1^10*T2^4 - 554*T1^11*T2^4 - 
      179*T1^12*T2^4 + 734*T2^5 - 284*T1*T2^5 - 708*T1^2*T2^5 + 
      1386*T1^3*T2^5 + 383*T1^4*T2^5 - 6859*T1^5*T2^5 + 3691*T1^6*T2^5 - 
      4247*T1^7*T2^5 - 2593*T1^8*T2^5 + 3137*T1^9*T2^5 - 1296*T1^10*T2^5 - 
      249*T1^11*T2^5 + 742*T1^12*T2^5 + 14*T1^13*T2^5 - 449*T2^6 - 
      632*T1*T2^6 + 1496*T1^2*T2^6 - 1332*T1^3*T2^6 - 601*T1^4*T2^6 + 
      3691*T1^5*T2^6 + 4622*T1^6*T2^6 - 4592*T1^7*T2^6 + 9186*T1^8*T2^6 - 
      3977*T1^9*T2^6 - 353*T1^10*T2^6 + 1440*T1^11*T2^6 - 752*T1^12*T2^6 - 
      416*T1^13*T2^6 + 79*T1^14*T2^6 + 184*T2^7 + 794*T1*T2^7 - 
      410*T1^2*T2^7 - 1494*T1^3*T2^7 + 3839*T1^4*T2^7 - 4247*T1^5*T2^7 - 
      4592*T1^6*T2^7 + 2026*T1^7*T2^7 - 3122*T1^8*T2^7 - 2936*T1^9*T2^7 + 
      4231*T1^10*T2^7 - 1723*T1^11*T2^7 - 306*T1^12*T2^7 + 976*T1^13*T2^7 - 
      52*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 446*T1^2*T2^8 + 
      1570*T1^3*T2^8 - 859*T1^4*T2^8 - 2593*T1^5*T2^8 + 9186*T1^6*T2^8 - 
      3122*T1^7*T2^8 + 912*T1^8*T2^8 + 3286*T1^9*T2^8 - 2086*T1^10*T2^8 - 
      1675*T1^11*T2^8 + 2221*T1^12*T2^8 - 1130*T1^13*T2^8 - 244*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 560*T1^2*T2^9 - 
      608*T1^3*T2^9 - 1026*T1^4*T2^9 + 3137*T1^5*T2^9 - 3977*T1^6*T2^9 - 
      2936*T1^7*T2^9 + 3286*T1^8*T2^9 - 1862*T1^9*T2^9 - 1280*T1^10*T2^9 + 
      4501*T1^11*T2^9 - 2425*T1^12*T2^9 + 162*T1^13*T2^9 + 778*T1^14*T2^9 - 
      286*T1^15*T2^9 - 104*T1^16*T2^9 - 273*T1^2*T2^10 - 128*T1^3*T2^10 + 
      1208*T1^4*T2^10 - 1296*T1^5*T2^10 - 353*T1^6*T2^10 + 4231*T1^7*T2^10 - 
      2086*T1^8*T2^10 - 1280*T1^9*T2^10 + 2478*T1^10*T2^10 - 
      3437*T1^11*T2^10 - 105*T1^12*T2^10 + 1476*T1^13*T2^10 - 
      1040*T1^14*T2^10 + 88*T1^15*T2^10 + 255*T1^16*T2^10 + 302*T1^3*T2^11 - 
      554*T1^4*T2^11 - 249*T1^5*T2^11 + 1440*T1^6*T2^11 - 1723*T1^7*T2^11 - 
      1675*T1^8*T2^11 + 4501*T1^9*T2^11 - 3437*T1^10*T2^11 + 
      2591*T1^11*T2^11 + 1031*T1^12*T2^11 - 1242*T1^13*T2^11 + 
      210*T1^14*T2^11 + 472*T1^15*T2^11 - 418*T1^16*T2^11 - 179*T1^4*T2^12 + 
      742*T1^5*T2^12 - 752*T1^6*T2^12 - 306*T1^7*T2^12 + 2221*T1^8*T2^12 - 
      2425*T1^9*T2^12 - 105*T1^10*T2^12 + 1031*T1^11*T2^12 - 
      2483*T1^12*T2^12 + 846*T1^13*T2^12 + 632*T1^14*T2^12 - 
      914*T1^15*T2^12 + 477*T1^16*T2^12 + 14*T1^5*T2^13 - 416*T1^6*T2^13 + 
      976*T1^7*T2^13 - 1130*T1^8*T2^13 + 162*T1^9*T2^13 + 1476*T1^10*T2^13 - 
      1242*T1^11*T2^13 + 846*T1^12*T2^13 + 940*T1^13*T2^13 - 
      1598*T1^14*T2^13 + 1132*T1^15*T2^13 - 418*T1^16*T2^13 + 79*T1^6*T2^14 - 
      52*T1^7*T2^14 - 244*T1^8*T2^14 + 778*T1^9*T2^14 - 1040*T1^10*T2^14 + 
      210*T1^11*T2^14 + 632*T1^12*T2^14 - 1598*T1^13*T2^14 + 
      1516*T1^14*T2^14 - 844*T1^15*T2^14 + 255*T1^16*T2^14 - 68*T1^7*T2^15 + 
      204*T1^8*T2^15 - 286*T1^9*T2^15 + 88*T1^10*T2^15 + 472*T1^11*T2^15 - 
      914*T1^12*T2^15 + 1132*T1^13*T2^15 - 844*T1^14*T2^15 + 
      402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 
      255*T1^10*T2^16 - 418*T1^11*T2^16 + 477*T1^12*T2^16 - 418*T1^13*T2^16 + 
      255*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 911] -> 
  {-((2 - 9*T + 23*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 469*T1^2 + 794*T1^3 - 915*T1^4 + 794*T1^5 - 
      469*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1442*T1^2*T2 - 
      1874*T1^3*T2 + 1246*T1^4*T2 - 266*T1^5*T2 - 758*T1^6*T2 + 866*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 469*T2^2 + 1442*T1*T2^2 - 2670*T1^2*T2^2 + 
      2757*T1^3*T2^2 - 831*T1^4*T2^2 - 286*T1^5*T2^2 + 1193*T1^6*T2^2 - 
      3*T1^7*T2^2 - 738*T1^8*T2^2 + 614*T1^9*T2^2 - 285*T1^10*T2^2 + 
      794*T2^3 - 1874*T1*T2^3 + 2757*T1^2*T2^3 - 1391*T1^3*T2^3 - 
      1993*T1^4*T2^3 + 1463*T1^5*T2^3 - 1417*T1^6*T2^3 - 1795*T1^7*T2^3 + 
      1579*T1^8*T2^3 - 348*T1^9*T2^3 - 182*T1^10*T2^3 + 326*T1^11*T2^3 - 
      915*T2^4 + 1246*T1*T2^4 - 831*T1^2*T2^4 - 1993*T1^3*T2^4 + 
      4353*T1^4*T2^4 + 930*T1^5*T2^4 - 1797*T1^6*T2^4 + 5574*T1^7*T2^4 - 
      1227*T1^8*T2^4 - 1291*T1^9*T2^4 + 1131*T1^10*T2^4 - 590*T1^11*T2^4 - 
      195*T1^12*T2^4 + 794*T2^5 - 266*T1*T2^5 - 286*T1^2*T2^5 + 
      1463*T1^3*T2^5 + 930*T1^4*T2^5 - 9988*T1^5*T2^5 + 6466*T1^6*T2^5 - 
      6032*T1^7*T2^5 - 3994*T1^8*T2^5 + 4491*T1^9*T2^5 - 1405*T1^10*T2^5 - 
      115*T1^11*T2^5 + 814*T1^12*T2^5 + 14*T1^13*T2^5 - 469*T2^6 - 
      758*T1*T2^6 + 1193*T1^2*T2^6 - 1417*T1^3*T2^6 - 1797*T1^4*T2^6 + 
      6466*T1^5*T2^6 + 5085*T1^6*T2^6 - 7125*T1^7*T2^6 + 14301*T1^8*T2^6 - 
      6026*T1^9*T2^6 - 663*T1^10*T2^6 + 1481*T1^11*T2^6 - 955*T1^12*T2^6 - 
      434*T1^13*T2^6 + 83*T1^14*T2^6 + 184*T2^7 + 866*T1*T2^7 - 3*T1^2*T2^7 - 
      1795*T1^3*T2^7 + 5574*T1^4*T2^7 - 6032*T1^5*T2^7 - 7125*T1^6*T2^7 + 
      5453*T1^7*T2^7 - 6859*T1^8*T2^7 - 4092*T1^9*T2^7 + 6478*T1^10*T2^7 - 
      2319*T1^11*T2^7 + 23*T1^12*T2^7 + 1032*T1^13*T2^7 - 70*T1^14*T2^7 - 
      68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 738*T1^2*T2^8 + 
      1579*T1^3*T2^8 - 1227*T1^4*T2^8 - 3994*T1^5*T2^8 + 14301*T1^6*T2^8 - 
      6859*T1^7*T2^8 + 2352*T1^8*T2^8 + 6503*T1^9*T2^8 - 4189*T1^10*T2^8 - 
      2014*T1^11*T2^8 + 2549*T1^12*T2^8 - 1451*T1^13*T2^8 - 144*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 614*T1^2*T2^9 - 
      348*T1^3*T2^9 - 1291*T1^4*T2^9 + 4491*T1^5*T2^9 - 6026*T1^6*T2^9 - 
      4092*T1^7*T2^9 + 6503*T1^8*T2^9 - 5809*T1^9*T2^9 - 1059*T1^10*T2^9 + 
      6484*T1^11*T2^9 - 3402*T1^12*T2^9 + 527*T1^13*T2^9 + 687*T1^14*T2^9 - 
      322*T1^15*T2^9 - 104*T1^16*T2^9 - 285*T1^2*T2^10 - 182*T1^3*T2^10 + 
      1131*T1^4*T2^10 - 1405*T1^5*T2^10 - 663*T1^6*T2^10 + 6478*T1^7*T2^10 - 
      4189*T1^8*T2^10 - 1059*T1^9*T2^10 + 5027*T1^10*T2^10 - 
      6014*T1^11*T2^10 + 471*T1^12*T2^10 + 1493*T1^13*T2^10 - 
      1017*T1^14*T2^10 + 142*T1^15*T2^10 + 267*T1^16*T2^10 + 326*T1^3*T2^11 - 
      590*T1^4*T2^11 - 115*T1^5*T2^11 + 1481*T1^6*T2^11 - 2319*T1^7*T2^11 - 
      2014*T1^8*T2^11 + 6484*T1^9*T2^11 - 6014*T1^10*T2^11 + 
      3980*T1^11*T2^11 + 1242*T1^12*T2^11 - 1387*T1^13*T2^11 + 
      56*T1^14*T2^11 + 490*T1^15*T2^11 - 454*T1^16*T2^11 - 195*T1^4*T2^12 + 
      814*T1^5*T2^12 - 955*T1^6*T2^12 + 23*T1^7*T2^12 + 2549*T1^8*T2^12 - 
      3402*T1^9*T2^12 + 471*T1^10*T2^12 + 1242*T1^11*T2^12 - 
      3031*T1^12*T2^12 + 725*T1^13*T2^12 + 1007*T1^14*T2^12 - 
      1022*T1^15*T2^12 + 525*T1^16*T2^12 + 14*T1^5*T2^13 - 434*T1^6*T2^13 + 
      1032*T1^7*T2^13 - 1451*T1^8*T2^13 + 527*T1^9*T2^13 + 1493*T1^10*T2^13 - 
      1387*T1^11*T2^13 + 725*T1^12*T2^13 + 1519*T1^13*T2^13 - 
      2073*T1^14*T2^13 + 1258*T1^15*T2^13 - 454*T1^16*T2^13 + 83*T1^6*T2^14 - 
      70*T1^7*T2^14 - 144*T1^8*T2^14 + 687*T1^9*T2^14 - 1017*T1^10*T2^14 + 
      56*T1^11*T2^14 + 1007*T1^12*T2^14 - 2073*T1^13*T2^14 + 
      1788*T1^14*T2^14 - 898*T1^15*T2^14 + 267*T1^16*T2^14 - 68*T1^7*T2^15 + 
      204*T1^8*T2^15 - 322*T1^9*T2^15 + 142*T1^10*T2^15 + 490*T1^11*T2^15 - 
      1022*T1^12*T2^15 + 1258*T1^13*T2^15 - 898*T1^14*T2^15 + 
      402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 
      267*T1^10*T2^16 - 454*T1^11*T2^16 + 525*T1^12*T2^16 - 454*T1^13*T2^16 + 
      267*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 912] -> 
  {-((3 - 12*T + 26*T^2 - 35*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-90 + 360*T1 - 778*T1^2 + 1048*T1^3 - 778*T1^4 + 360*T1^5 - 90*T1^6 + 
      360*T2 - 1188*T1*T2 + 2104*T1^2*T2 - 2016*T1^3*T2 + 180*T1^4*T2 + 
      736*T1^5*T2 - 648*T1^6*T2 + 252*T1^7*T2 - 778*T2^2 + 2104*T1*T2^2 - 
      3016*T1^2*T2^2 + 1653*T1^3*T2^2 + 2248*T1^4*T2^2 - 1935*T1^5*T2^2 + 
      572*T1^6*T2^2 + 232*T1^7*T2^2 - 310*T1^8*T2^2 + 1048*T2^3 - 
      2016*T1*T2^3 + 1653*T1^2*T2^3 + 1557*T1^3*T2^3 - 5899*T1^4*T2^3 + 
      1163*T1^5*T2^3 + 1671*T1^6*T2^3 - 1857*T1^7*T2^3 + 828*T1^8*T2^3 + 
      103*T1^9*T2^3 - 778*T2^4 + 180*T1*T2^4 + 2248*T1^2*T2^4 - 
      5899*T1^3*T2^4 + 6441*T1^4*T2^4 + 4343*T1^5*T2^4 - 5703*T1^6*T2^4 + 
      2501*T1^7*T2^4 + 280*T1^8*T2^4 - 1044*T1^9*T2^4 + 158*T1^10*T2^4 + 
      360*T2^5 + 736*T1*T2^5 - 1935*T1^2*T2^5 + 1163*T1^3*T2^5 + 
      4343*T1^4*T2^5 - 14718*T1^5*T2^5 + 7924*T1^6*T2^5 + 651*T1^7*T2^5 - 
      3223*T1^8*T2^5 + 1887*T1^9*T2^5 + 88*T1^10*T2^5 - 180*T1^11*T2^5 - 
      90*T2^6 - 648*T1*T2^6 + 572*T1^2*T2^6 + 1671*T1^3*T2^6 - 
      5703*T1^4*T2^6 + 7924*T1^5*T2^6 + 3960*T1^6*T2^6 - 10572*T1^7*T2^6 + 
      6637*T1^8*T2^6 - 1467*T1^9*T2^6 - 880*T1^10*T2^6 + 432*T1^11*T2^6 + 
      72*T1^12*T2^6 + 252*T1*T2^7 + 232*T1^2*T2^7 - 1857*T1^3*T2^7 + 
      2501*T1^4*T2^7 + 651*T1^5*T2^7 - 10572*T1^6*T2^7 + 12070*T1^7*T2^7 - 
      3041*T1^8*T2^7 - 1885*T1^9*T2^7 + 1965*T1^10*T2^7 - 416*T1^11*T2^7 - 
      288*T1^12*T2^7 - 310*T1^2*T2^8 + 828*T1^3*T2^8 + 280*T1^4*T2^8 - 
      3223*T1^5*T2^8 + 6637*T1^6*T2^8 - 3041*T1^7*T2^8 - 5507*T1^8*T2^8 + 
      5177*T1^9*T2^8 - 1688*T1^10*T2^8 - 396*T1^11*T2^8 + 626*T1^12*T2^8 + 
      103*T1^3*T2^9 - 1044*T1^4*T2^9 + 1887*T1^5*T2^9 - 1467*T1^6*T2^9 - 
      1885*T1^7*T2^9 + 5177*T1^8*T2^9 - 1353*T1^9*T2^9 - 1623*T1^10*T2^9 + 
      1800*T1^11*T2^9 - 842*T1^12*T2^9 + 158*T1^4*T2^10 + 88*T1^5*T2^10 - 
      880*T1^6*T2^10 + 1965*T1^7*T2^10 - 1688*T1^8*T2^10 - 1623*T1^9*T2^10 + 
      2708*T1^10*T2^10 - 1784*T1^11*T2^10 + 626*T1^12*T2^10 - 
      180*T1^5*T2^11 + 432*T1^6*T2^11 - 416*T1^7*T2^11 - 396*T1^8*T2^11 + 
      1800*T1^9*T2^11 - 1784*T1^10*T2^11 + 972*T1^11*T2^11 - 
      288*T1^12*T2^11 + 72*T1^6*T2^12 - 288*T1^7*T2^12 + 626*T1^8*T2^12 - 
      842*T1^9*T2^12 + 626*T1^10*T2^12 - 288*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 913] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 17*T^2 - 25*T^3 + 17*T^4 - 6*T^5 + T^6))/T^4), 
   -((-5 + 35*T1 - 120*T1^2 + 240*T1^3 - 295*T1^4 + 240*T1^5 - 120*T1^6 + 
      35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 644*T1^2*T2 - 1008*T1^3*T2 + 
      721*T1^4*T2 - 28*T1^5*T2 - 504*T1^6*T2 + 427*T1^7*T2 - 161*T1^8*T2 + 
      28*T1^9*T2 - 120*T2^2 + 644*T1*T2^2 - 1577*T1^2*T2^2 + 1550*T1^3*T2^2 + 
      618*T1^4*T2^2 - 2379*T1^5*T2^2 + 2298*T1^6*T2^2 - 418*T1^7*T2^2 - 
      473*T1^8*T2^2 + 308*T1^9*T2^2 - 72*T1^10*T2^2 + 240*T2^3 - 
      1008*T1*T2^3 + 1550*T1^2*T2^3 + 1182*T1^3*T2^3 - 6658*T1^4*T2^3 + 
      6280*T1^5*T2^3 - 1328*T1^6*T2^3 - 4066*T1^7*T2^3 + 3030*T1^8*T2^3 - 
      562*T1^9*T2^3 - 168*T1^10*T2^3 + 96*T1^11*T2^3 - 295*T2^4 + 
      721*T1*T2^4 + 618*T1^2*T2^4 - 6658*T1^3*T2^4 + 10375*T1^4*T2^4 + 
      1490*T1^5*T2^4 - 13253*T1^6*T2^4 + 15334*T1^7*T2^4 - 3489*T1^8*T2^4 - 
      2530*T1^9*T2^4 + 1578*T1^10*T2^4 - 259*T1^11*T2^4 - 59*T1^12*T2^4 + 
      240*T2^5 - 28*T1*T2^5 - 2379*T1^2*T2^5 + 6280*T1^3*T2^5 + 
      1490*T1^4*T2^5 - 26039*T1^5*T2^5 + 29641*T1^6*T2^5 - 11855*T1^7*T2^5 - 
      13109*T1^8*T2^5 + 12329*T1^9*T2^5 - 2720*T1^10*T2^5 - 618*T1^11*T2^5 + 
      413*T1^12*T2^5 - 120*T2^6 - 504*T1*T2^6 + 2298*T1^2*T2^6 - 
      1328*T1^3*T2^6 - 13253*T1^4*T2^6 + 29641*T1^5*T2^6 - 5376*T1^6*T2^6 - 
      29074*T1^7*T2^6 + 41952*T1^8*T2^6 - 15431*T1^9*T2^6 - 4133*T1^10*T2^6 + 
      4192*T1^11*T2^6 - 822*T1^12*T2^6 - 168*T1^13*T2^6 + 24*T1^14*T2^6 + 
      35*T2^7 + 427*T1*T2^7 - 418*T1^2*T2^7 - 4066*T1^3*T2^7 + 
      15334*T1^4*T2^7 - 11855*T1^5*T2^7 - 29074*T1^6*T2^7 + 50579*T1^7*T2^7 - 
      29261*T1^8*T2^7 - 13282*T1^9*T2^7 + 22489*T1^10*T2^7 - 
      7525*T1^11*T2^7 - 514*T1^12*T2^7 + 830*T1^13*T2^7 - 70*T1^14*T2^7 - 
      14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 473*T1^2*T2^8 + 3030*T1^3*T2^8 - 
      3489*T1^4*T2^8 - 13109*T1^5*T2^8 + 41952*T1^6*T2^8 - 29261*T1^7*T2^8 - 
      16632*T1^8*T2^8 + 44261*T1^9*T2^8 - 27264*T1^10*T2^8 - 755*T1^11*T2^8 + 
      5911*T1^12*T2^8 - 1818*T1^13*T2^8 - 35*T1^14*T2^8 + 77*T1^15*T2^8 + 
      3*T1^16*T2^8 + 28*T1*T2^9 + 308*T1^2*T2^9 - 562*T1^3*T2^9 - 
      2530*T1^4*T2^9 + 12329*T1^5*T2^9 - 15431*T1^6*T2^9 - 13282*T1^7*T2^9 + 
      44261*T1^8*T2^9 - 35579*T1^9*T2^9 + 2510*T1^10*T2^9 + 
      18913*T1^11*T2^9 - 10530*T1^12*T2^9 + 1022*T1^13*T2^9 + 
      686*T1^14*T2^9 - 189*T1^15*T2^9 - 21*T1^16*T2^9 - 72*T1^2*T2^10 - 
      168*T1^3*T2^10 + 1578*T1^4*T2^10 - 2720*T1^5*T2^10 - 4133*T1^6*T2^10 + 
      22489*T1^7*T2^10 - 27264*T1^8*T2^10 + 2510*T1^9*T2^10 + 
      20064*T1^10*T2^10 - 22583*T1^11*T2^10 + 4987*T1^12*T2^10 + 
      2800*T1^13*T2^10 - 1542*T1^14*T2^10 + 168*T1^15*T2^10 + 
      72*T1^16*T2^10 + 96*T1^3*T2^11 - 259*T1^4*T2^11 - 618*T1^5*T2^11 + 
      4192*T1^6*T2^11 - 7525*T1^7*T2^11 - 755*T1^8*T2^11 + 18913*T1^9*T2^11 - 
      22583*T1^10*T2^11 + 12175*T1^11*T2^11 + 3314*T1^12*T2^11 - 
      4808*T1^13*T2^11 + 1143*T1^14*T2^11 + 182*T1^15*T2^11 - 
      144*T1^16*T2^11 - 59*T1^4*T2^12 + 413*T1^5*T2^12 - 822*T1^6*T2^12 - 
      514*T1^7*T2^12 + 5911*T1^8*T2^12 - 10530*T1^9*T2^12 + 
      4987*T1^10*T2^12 + 3314*T1^11*T2^12 - 7953*T1^12*T2^12 + 
      3614*T1^13*T2^12 + 138*T1^14*T2^12 - 567*T1^15*T2^12 + 
      177*T1^16*T2^12 - 168*T1^6*T2^13 + 830*T1^7*T2^13 - 1818*T1^8*T2^13 + 
      1022*T1^9*T2^13 + 2800*T1^10*T2^13 - 4808*T1^11*T2^13 + 
      3614*T1^12*T2^13 + 30*T1^13*T2^13 - 1282*T1^14*T2^13 + 
      672*T1^15*T2^13 - 144*T1^16*T2^13 + 24*T1^6*T2^14 - 70*T1^7*T2^14 - 
      35*T1^8*T2^14 + 686*T1^9*T2^14 - 1542*T1^10*T2^14 + 1143*T1^11*T2^14 + 
      138*T1^12*T2^14 - 1282*T1^13*T2^14 + 1069*T1^14*T2^14 - 
      406*T1^15*T2^14 + 72*T1^16*T2^14 - 14*T1^7*T2^15 + 77*T1^8*T2^15 - 
      189*T1^9*T2^15 + 168*T1^10*T2^15 + 182*T1^11*T2^15 - 567*T1^12*T2^15 + 
      672*T1^13*T2^15 - 406*T1^14*T2^15 + 133*T1^15*T2^15 - 21*T1^16*T2^15 + 
      3*T1^8*T2^16 - 21*T1^9*T2^16 + 72*T1^10*T2^16 - 144*T1^11*T2^16 + 
      177*T1^12*T2^16 - 144*T1^13*T2^16 + 72*T1^14*T2^16 - 21*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 914] -> 
  {(5 - 25*T + 59*T^2 - 77*T^3 + 59*T^4 - 25*T^5 + 5*T^6)/T^3, 
   (-230 + 1155*T1 - 2725*T1^2 + 3562*T1^3 - 2725*T1^4 + 1155*T1^5 - 
     230*T1^6 + 1155*T2 - 5265*T1*T2 + 11000*T1^2*T2 - 11571*T1^3*T2 + 
     5429*T1^4*T2 + 500*T1^5*T2 - 1515*T1^6*T2 + 530*T1^7*T2 - 2725*T2^2 + 
     11000*T1*T2^2 - 18628*T1^2*T2^2 + 9573*T1^3*T2^2 + 11480*T1^4*T2^2 - 
     21107*T1^5*T2^2 + 13232*T1^6*T2^2 - 3750*T1^7*T2^2 + 225*T1^8*T2^2 + 
     3562*T2^3 - 11571*T1*T2^3 + 9573*T1^2*T2^3 + 22072*T1^3*T2^3 - 
     56558*T1^4*T2^3 + 47022*T1^5*T2^3 - 7118*T1^6*T2^3 - 14322*T1^7*T2^3 + 
     9929*T1^8*T2^3 - 2213*T1^9*T2^3 - 2725*T2^4 + 5429*T1*T2^4 + 
     11480*T1^2*T2^4 - 56558*T1^3*T2^4 + 73849*T1^4*T2^4 - 9553*T1^5*T2^4 - 
     62631*T1^6*T2^4 + 60482*T1^7*T2^4 - 15150*T1^8*T2^4 - 4821*T1^9*T2^4 + 
     3175*T1^10*T2^4 + 1155*T2^5 + 500*T1*T2^5 - 21107*T1^2*T2^5 + 
     47022*T1^3*T2^5 - 9553*T1^4*T2^5 - 110303*T1^5*T2^5 + 154595*T1^6*T2^5 - 
     65190*T1^7*T2^5 - 29638*T1^8*T2^5 + 29928*T1^9*T2^5 - 6000*T1^10*T2^5 - 
     1970*T1^11*T2^5 - 230*T2^6 - 1515*T1*T2^6 + 13232*T1^2*T2^6 - 
     7118*T1^3*T2^6 - 62631*T1^4*T2^6 + 154595*T1^5*T2^6 - 87540*T1^6*T2^6 - 
     76179*T1^7*T2^6 + 129667*T1^8*T2^6 - 45218*T1^9*T2^6 - 5608*T1^10*T2^6 + 
     7235*T1^11*T2^6 + 520*T1^12*T2^6 + 530*T1*T2^7 - 3750*T1^2*T2^7 - 
     14322*T1^3*T2^7 + 60482*T1^4*T2^7 - 65190*T1^5*T2^7 - 76179*T1^6*T2^7 + 
     188719*T1^7*T2^7 - 120827*T1^8*T2^7 - 16178*T1^9*T2^7 + 
     36713*T1^10*T2^7 - 10250*T1^11*T2^7 - 2595*T1^12*T2^7 + 225*T1^2*T2^8 + 
     9929*T1^3*T2^8 - 15150*T1^4*T2^8 - 29638*T1^5*T2^8 + 129667*T1^6*T2^8 - 
     120827*T1^7*T2^8 - 6813*T1^8*T2^8 + 87402*T1^9*T2^8 - 41780*T1^10*T2^8 - 
     321*T1^11*T2^8 + 6125*T1^12*T2^8 - 2213*T1^3*T2^9 - 4821*T1^4*T2^9 + 
     29928*T1^5*T2^9 - 45218*T1^6*T2^9 - 16178*T1^7*T2^9 + 87402*T1^8*T2^9 - 
     74408*T1^9*T2^9 + 6033*T1^10*T2^9 + 16679*T1^11*T2^9 - 7988*T1^12*T2^9 + 
     3175*T1^4*T2^10 - 6000*T1^5*T2^10 - 5608*T1^6*T2^10 + 36713*T1^7*T2^10 - 
     41780*T1^8*T2^10 + 6033*T1^9*T2^10 + 26252*T1^10*T2^10 - 
     20750*T1^11*T2^10 + 6125*T1^12*T2^10 - 1970*T1^5*T2^11 + 
     7235*T1^6*T2^11 - 10250*T1^7*T2^11 - 321*T1^8*T2^11 + 16679*T1^9*T2^11 - 
     20750*T1^10*T2^11 + 10985*T1^11*T2^11 - 2595*T1^12*T2^11 + 
     520*T1^6*T2^12 - 2595*T1^7*T2^12 + 6125*T1^8*T2^12 - 7988*T1^9*T2^12 + 
     6125*T1^10*T2^12 - 2595*T1^11*T2^12 + 520*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 915] -> 
  {(3 - 23*T + 65*T^2 - 89*T^3 + 65*T^4 - 23*T^5 + 3*T^6)/T^3, 
   (-111 + 847*T1 - 2386*T1^2 + 3261*T1^3 - 2386*T1^4 + 847*T1^5 - 111*T1^6 + 
     847*T2 - 5821*T1*T2 + 13321*T1^2*T2 - 11157*T1^3*T2 - 531*T1^4*T2 + 
     7249*T1^5*T2 - 4027*T1^6*T2 + 640*T1^7*T2 - 2386*T2^2 + 13321*T1*T2^2 - 
     15409*T1^2*T2^2 - 24807*T1^3*T2^2 + 64981*T1^4*T2^2 - 50547*T1^5*T2^2 + 
     8771*T1^6*T2^2 + 4351*T1^7*T2^2 - 1216*T1^8*T2^2 + 3261*T2^3 - 
     11157*T1*T2^3 - 24807*T1^2*T2^3 + 127608*T1^3*T2^3 - 140391*T1^4*T2^3 + 
     19351*T1^5*T2^3 + 69740*T1^6*T2^3 - 38002*T1^7*T2^3 + 2781*T1^8*T2^3 + 
     858*T1^9*T2^3 - 2386*T2^4 - 531*T1*T2^4 + 64981*T1^2*T2^4 - 
     140391*T1^3*T2^4 - 3278*T1^4*T2^4 + 229526*T1^5*T2^4 - 
     225122*T1^6*T2^4 + 44017*T1^7*T2^4 + 21519*T1^8*T2^4 - 6189*T1^9*T2^4 - 
     46*T1^10*T2^4 + 847*T2^5 + 7249*T1*T2^5 - 50547*T1^2*T2^5 + 
     19351*T1^3*T2^5 + 229526*T1^4*T2^5 - 361685*T1^5*T2^5 + 
     143495*T1^6*T2^5 + 110641*T1^7*T2^5 - 91059*T1^8*T2^5 + 
     12828*T1^9*T2^5 + 1729*T1^10*T2^5 - 188*T1^11*T2^5 - 111*T2^6 - 
     4027*T1*T2^6 + 8771*T1^2*T2^6 + 69740*T1^3*T2^6 - 225122*T1^4*T2^6 + 
     143495*T1^5*T2^6 + 162000*T1^6*T2^6 - 284255*T1^7*T2^6 + 
     113964*T1^8*T2^6 + 8124*T1^9*T2^6 - 11037*T1^10*T2^6 + 1079*T1^11*T2^6 + 
     51*T1^12*T2^6 + 640*T1*T2^7 + 4351*T1^2*T2^7 - 38002*T1^3*T2^7 + 
     44017*T1^4*T2^7 + 110641*T1^5*T2^7 - 284255*T1^6*T2^7 + 
     220925*T1^7*T2^7 - 8244*T1^8*T2^7 - 66393*T1^9*T2^7 + 25373*T1^10*T2^7 - 
     1169*T1^11*T2^7 - 395*T1^12*T2^7 - 1216*T1^2*T2^8 + 2781*T1^3*T2^8 + 
     21519*T1^4*T2^8 - 91059*T1^5*T2^8 + 113964*T1^6*T2^8 - 8244*T1^7*T2^8 - 
     107880*T1^8*T2^8 + 93349*T1^9*T2^8 - 21943*T1^10*T2^8 - 
     2877*T1^11*T2^8 + 1124*T1^12*T2^8 + 858*T1^3*T2^9 - 6189*T1^4*T2^9 + 
     12828*T1^5*T2^9 + 8124*T1^6*T2^9 - 66393*T1^7*T2^9 + 93349*T1^8*T2^9 - 
     49744*T1^9*T2^9 - 367*T1^10*T2^9 + 7749*T1^11*T2^9 - 1545*T1^12*T2^9 - 
     46*T1^4*T2^10 + 1729*T1^5*T2^10 - 11037*T1^6*T2^10 + 25373*T1^7*T2^10 - 
     21943*T1^8*T2^10 - 367*T1^9*T2^10 + 13143*T1^10*T2^10 - 
     7241*T1^11*T2^10 + 1124*T1^12*T2^10 - 188*T1^5*T2^11 + 1079*T1^6*T2^11 - 
     1169*T1^7*T2^11 - 2877*T1^8*T2^11 + 7749*T1^9*T2^11 - 7241*T1^10*T2^11 + 
     2873*T1^11*T2^11 - 395*T1^12*T2^11 + 51*T1^6*T2^12 - 395*T1^7*T2^12 + 
     1124*T1^8*T2^12 - 1545*T1^9*T2^12 + 1124*T1^10*T2^12 - 395*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 916] -> 
  {((1 - T + T^2)*(1 - T + 2*T^2 - 2*T^3 + T^4)*(1 - 2*T + 2*T^2 - T^3 + 
      T^4))/T^5, (-4 + 16*T1 - 40*T1^2 + 72*T1^3 - 104*T1^4 + 116*T1^5 - 
     104*T1^6 + 72*T1^7 - 40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 
     112*T1^2*T2 - 168*T1^3*T2 + 200*T1^4*T2 - 152*T1^5*T2 + 68*T1^6*T2 + 
     24*T1^7*T2 - 56*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 
     40*T2^2 + 112*T1*T2^2 - 228*T1^2*T2^2 + 321*T1^3*T2^2 - 381*T1^4*T2^2 + 
     286*T1^5*T2^2 - 188*T1^6*T2^2 + 66*T1^7*T2^2 - 61*T1^8*T2^2 + 
     41*T1^9*T2^2 - 48*T1^10*T2^2 + 32*T1^11*T2^2 - 20*T1^12*T2^2 + 72*T2^3 - 
     168*T1*T2^3 + 321*T1^2*T2^3 - 404*T1^3*T2^3 + 458*T1^4*T2^3 - 
     263*T1^5*T2^3 + 171*T1^6*T2^3 - 5*T1^7*T2^3 + 83*T1^8*T2^3 - 
     42*T1^9*T2^3 + 62*T1^10*T2^3 - 19*T1^11*T2^3 + 8*T1^12*T2^3 + 
     18*T1^13*T2^3 - 104*T2^4 + 200*T1*T2^4 - 381*T1^2*T2^4 + 458*T1^3*T2^4 - 
     571*T1^4*T2^4 + 351*T1^5*T2^4 - 384*T1^6*T2^4 + 165*T1^7*T2^4 - 
     304*T1^8*T2^4 + 55*T1^9*T2^4 + 13*T1^10*T2^4 - 118*T1^11*T2^4 + 
     83*T1^12*T2^4 - 72*T1^13*T2^4 + 116*T2^5 - 152*T1*T2^5 + 286*T1^2*T2^5 - 
     263*T1^3*T2^5 + 351*T1^4*T2^5 - 47*T1^5*T2^5 + 213*T1^6*T2^5 + 
     40*T1^7*T2^5 + 272*T1^8*T2^5 + 111*T1^9*T2^5 - 17*T1^10*T2^5 - 
     11*T1^11*T2^5 + 127*T1^12*T2^5 - 96*T1^13*T2^5 + 116*T1^14*T2^5 - 
     29*T1^15*T2^5 - 104*T2^6 + 68*T1*T2^6 - 188*T1^2*T2^6 + 171*T1^3*T2^6 - 
     384*T1^4*T2^6 + 213*T1^5*T2^6 - 645*T1^6*T2^6 + 369*T1^7*T2^6 - 
     655*T1^8*T2^6 - 111*T1^9*T2^6 - 25*T1^10*T2^6 + 9*T1^11*T2^6 - 
     77*T1^13*T2^6 + 36*T1^14*T2^6 - 92*T1^15*T2^6 + 52*T1^16*T2^6 + 
     72*T2^7 + 24*T1*T2^7 + 66*T1^2*T2^7 - 5*T1^3*T2^7 + 165*T1^4*T2^7 + 
     40*T1^5*T2^7 + 369*T1^6*T2^7 + 30*T1^7*T2^7 + 216*T1^8*T2^7 + 
     472*T1^9*T2^7 + 162*T1^10*T2^7 - 303*T1^11*T2^7 + 152*T1^12*T2^7 - 
     111*T1^13*T2^7 + 75*T1^14*T2^7 + 16*T1^15*T2^7 + 8*T1^16*T2^7 - 
     54*T1^17*T2^7 - 40*T2^8 - 56*T1*T2^8 - 61*T1^2*T2^8 + 83*T1^3*T2^8 - 
     304*T1^4*T2^8 + 272*T1^5*T2^8 - 655*T1^6*T2^8 + 216*T1^7*T2^8 - 
     277*T1^8*T2^8 - 239*T1^9*T2^8 - 449*T1^10*T2^8 + 280*T1^11*T2^8 + 
     281*T1^12*T2^8 - 140*T1^13*T2^8 + 224*T1^14*T2^8 - 153*T1^15*T2^8 + 
     51*T1^16*T2^8 + 56*T1^17*T2^8 + 40*T1^18*T2^8 + 16*T2^9 + 56*T1*T2^9 + 
     41*T1^2*T2^9 - 42*T1^3*T2^9 + 55*T1^4*T2^9 + 111*T1^5*T2^9 - 
     111*T1^6*T2^9 + 472*T1^7*T2^9 - 239*T1^8*T2^9 - 166*T1^9*T2^9 + 
     988*T1^10*T2^9 - 699*T1^11*T2^9 - 168*T1^12*T2^9 - 207*T1^13*T2^9 - 
     195*T1^14*T2^9 + 21*T1^15*T2^9 + 2*T1^16*T2^9 - 99*T1^17*T2^9 - 
     80*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 48*T1^2*T2^10 + 
     62*T1^3*T2^10 + 13*T1^4*T2^10 - 17*T1^5*T2^10 - 25*T1^6*T2^10 + 
     162*T1^7*T2^10 - 449*T1^8*T2^10 + 988*T1^9*T2^10 - 540*T1^10*T2^10 - 
     436*T1^11*T2^10 + 1579*T1^12*T2^10 - 618*T1^13*T2^10 + 963*T1^14*T2^10 - 
     227*T1^15*T2^10 + 137*T1^16*T2^10 + 58*T1^17*T2^10 + 140*T1^18*T2^10 + 
     56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 32*T1^2*T2^11 - 
     19*T1^3*T2^11 - 118*T1^4*T2^11 - 11*T1^5*T2^11 + 9*T1^6*T2^11 - 
     303*T1^7*T2^11 + 280*T1^8*T2^11 - 699*T1^9*T2^11 - 436*T1^10*T2^11 + 
     718*T1^11*T2^11 - 1159*T1^12*T2^11 - 360*T1^13*T2^11 - 399*T1^14*T2^11 - 
     297*T1^15*T2^11 - 45*T1^16*T2^11 - 74*T1^17*T2^11 - 159*T1^18*T2^11 - 
     104*T1^19*T2^11 - 24*T1^20*T2^11 - 20*T1^2*T2^12 + 8*T1^3*T2^12 + 
     83*T1^4*T2^12 + 127*T1^5*T2^12 + 152*T1^7*T2^12 + 281*T1^8*T2^12 - 
     168*T1^9*T2^12 + 1579*T1^10*T2^12 - 1159*T1^11*T2^12 + 
     1407*T1^12*T2^12 - 104*T1^13*T2^12 + 1217*T1^14*T2^12 - 
     260*T1^15*T2^12 + 528*T1^16*T2^12 - 109*T1^17*T2^12 + 195*T1^18*T2^12 + 
     120*T1^19*T2^12 + 60*T1^20*T2^12 + 18*T1^3*T2^13 - 72*T1^4*T2^13 - 
     96*T1^5*T2^13 - 77*T1^6*T2^13 - 111*T1^7*T2^13 - 140*T1^8*T2^13 - 
     207*T1^9*T2^13 - 618*T1^10*T2^13 - 360*T1^11*T2^13 - 104*T1^12*T2^13 - 
     486*T1^13*T2^13 - 879*T1^14*T2^13 - 28*T1^15*T2^13 - 387*T1^16*T2^13 + 
     3*T1^17*T2^13 - 146*T1^18*T2^13 - 88*T1^19*T2^13 - 108*T1^20*T2^13 + 
     116*T1^5*T2^14 + 36*T1^6*T2^14 + 75*T1^7*T2^14 + 224*T1^8*T2^14 - 
     195*T1^9*T2^14 + 963*T1^10*T2^14 - 399*T1^11*T2^14 + 1217*T1^12*T2^14 - 
     879*T1^13*T2^14 + 1583*T1^14*T2^14 - 399*T1^15*T2^14 + 608*T1^16*T2^14 - 
     173*T1^17*T2^14 + 260*T1^18*T2^14 - 44*T1^19*T2^14 + 156*T1^20*T2^14 - 
     29*T1^5*T2^15 - 92*T1^6*T2^15 + 16*T1^7*T2^15 - 153*T1^8*T2^15 + 
     21*T1^9*T2^15 - 227*T1^10*T2^15 - 297*T1^11*T2^15 - 260*T1^12*T2^15 - 
     28*T1^13*T2^15 - 399*T1^14*T2^15 - 197*T1^15*T2^15 - 341*T1^16*T2^15 + 
     237*T1^17*T2^15 - 366*T1^18*T2^15 + 176*T1^19*T2^15 - 174*T1^20*T2^15 + 
     52*T1^6*T2^16 + 8*T1^7*T2^16 + 51*T1^8*T2^16 + 2*T1^9*T2^16 + 
     137*T1^10*T2^16 - 45*T1^11*T2^16 + 528*T1^12*T2^16 - 387*T1^13*T2^16 + 
     608*T1^14*T2^16 - 341*T1^15*T2^16 + 721*T1^16*T2^16 - 574*T1^17*T2^16 + 
     515*T1^18*T2^16 - 264*T1^19*T2^16 + 156*T1^20*T2^16 - 54*T1^7*T2^17 + 
     56*T1^8*T2^17 - 99*T1^9*T2^17 + 58*T1^10*T2^17 - 74*T1^11*T2^17 - 
     109*T1^12*T2^17 + 3*T1^13*T2^17 - 173*T1^14*T2^17 + 237*T1^15*T2^17 - 
     574*T1^16*T2^17 + 524*T1^17*T2^17 - 439*T1^18*T2^17 + 232*T1^19*T2^17 - 
     108*T1^20*T2^17 + 40*T1^8*T2^18 - 80*T1^9*T2^18 + 140*T1^10*T2^18 - 
     159*T1^11*T2^18 + 195*T1^12*T2^18 - 146*T1^13*T2^18 + 260*T1^14*T2^18 - 
     366*T1^15*T2^18 + 515*T1^16*T2^18 - 439*T1^17*T2^18 + 320*T1^18*T2^18 - 
     160*T1^19*T2^18 + 60*T1^20*T2^18 - 20*T1^9*T2^19 + 56*T1^10*T2^19 - 
     104*T1^11*T2^19 + 120*T1^12*T2^19 - 88*T1^13*T2^19 - 44*T1^14*T2^19 + 
     176*T1^15*T2^19 - 264*T1^16*T2^19 + 232*T1^17*T2^19 - 160*T1^18*T2^19 + 
     76*T1^19*T2^19 - 24*T1^20*T2^19 + 6*T1^10*T2^20 - 24*T1^11*T2^20 + 
     60*T1^12*T2^20 - 108*T1^13*T2^20 + 156*T1^14*T2^20 - 174*T1^15*T2^20 + 
     156*T1^16*T2^20 - 108*T1^17*T2^20 + 60*T1^18*T2^20 - 24*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 917] -> 
  {(2 - 9*T + 23*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 140*T1 - 358*T1^2 + 607*T1^3 - 731*T1^4 + 607*T1^5 - 
     358*T1^6 + 140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 1146*T1^2*T2 - 
     1538*T1^3*T2 + 1262*T1^4*T2 - 286*T1^5*T2 - 422*T1^6*T2 + 570*T1^7*T2 - 
     330*T1^8*T2 + 104*T1^9*T2 - 358*T2^2 + 1146*T1*T2^2 - 2177*T1^2*T2^2 + 
     2342*T1^3*T2^2 - 1195*T1^4*T2^2 - 733*T1^5*T2^2 + 1013*T1^6*T2^2 - 
     418*T1^7*T2^2 - 245*T1^8*T2^2 + 318*T1^9*T2^2 - 174*T1^10*T2^2 + 
     607*T2^3 - 1538*T1*T2^3 + 2342*T1^2*T2^3 - 1359*T1^3*T2^3 - 
     858*T1^4*T2^3 + 2691*T1^5*T2^3 - 603*T1^6*T2^3 - 1128*T1^7*T2^3 + 
     1611*T1^8*T2^3 - 763*T1^9*T2^3 + 154*T1^10*T2^3 + 139*T1^11*T2^3 - 
     731*T2^4 + 1262*T1*T2^4 - 1195*T1^2*T2^4 - 858*T1^3*T2^4 + 
     2436*T1^4*T2^4 - 1720*T1^5*T2^4 - 3484*T1^6*T2^4 + 3848*T1^7*T2^4 - 
     1704*T1^8*T2^4 - 780*T1^9*T2^4 + 1135*T1^10*T2^4 - 718*T1^11*T2^4 + 
     21*T1^12*T2^4 + 607*T2^5 - 286*T1*T2^5 - 733*T1^2*T2^5 + 
     2691*T1^3*T2^5 - 1720*T1^4*T2^5 - 2208*T1^5*T2^5 + 7704*T1^6*T2^5 - 
     3240*T1^7*T2^5 - 1668*T1^8*T2^5 + 3275*T1^9*T2^5 - 1419*T1^10*T2^5 - 
     76*T1^11*T2^5 + 686*T1^12*T2^5 - 173*T1^13*T2^5 - 358*T2^6 - 
     422*T1*T2^6 + 1013*T1^2*T2^6 - 603*T1^3*T2^6 - 3484*T1^4*T2^6 + 
     7704*T1^5*T2^6 - 7768*T1^6*T2^6 - 3058*T1^7*T2^6 + 7796*T1^8*T2^6 - 
     4740*T1^9*T2^6 + 134*T1^10*T2^6 + 1467*T1^11*T2^6 - 951*T1^12*T2^6 - 
     98*T1^13*T2^6 + 194*T1^14*T2^6 + 140*T2^7 + 570*T1*T2^7 - 
     418*T1^2*T2^7 - 1128*T1^3*T2^7 + 3848*T1^4*T2^7 - 3240*T1^5*T2^7 - 
     3058*T1^6*T2^7 + 12797*T1^7*T2^7 - 9733*T1^8*T2^7 - 571*T1^9*T2^7 + 
     4704*T1^10*T2^7 - 3439*T1^11*T2^7 + 534*T1^12*T2^7 + 617*T1^13*T2^7 - 
     366*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 - 
     245*T1^2*T2^8 + 1611*T1^3*T2^8 - 1704*T1^4*T2^8 - 1668*T1^5*T2^8 + 
     7796*T1^6*T2^8 - 9733*T1^7*T2^8 + 336*T1^8*T2^8 + 9713*T1^9*T2^8 - 
     6462*T1^10*T2^8 + 1284*T1^11*T2^8 + 2136*T1^12*T2^8 - 1419*T1^13*T2^8 + 
     349*T1^14*T2^8 + 354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 
     318*T1^2*T2^9 - 763*T1^3*T2^9 - 780*T1^4*T2^9 + 3275*T1^5*T2^9 - 
     4740*T1^6*T2^9 - 571*T1^7*T2^9 + 9713*T1^8*T2^9 - 12817*T1^9*T2^9 + 
     1916*T1^10*T2^9 + 3204*T1^11*T2^9 - 4012*T1^12*T2^9 + 882*T1^13*T2^9 + 
     272*T1^14*T2^9 - 618*T1^15*T2^9 - 148*T1^16*T2^9 - 174*T1^2*T2^10 + 
     154*T1^3*T2^10 + 1135*T1^4*T2^10 - 1419*T1^5*T2^10 + 134*T1^6*T2^10 + 
     4704*T1^7*T2^10 - 6462*T1^8*T2^10 + 1916*T1^9*T2^10 + 9102*T1^10*T2^10 - 
     7740*T1^11*T2^10 + 3752*T1^12*T2^10 + 651*T1^13*T2^10 - 
     829*T1^14*T2^10 + 478*T1^15*T2^10 + 378*T1^16*T2^10 + 139*T1^3*T2^11 - 
     718*T1^4*T2^11 - 76*T1^5*T2^11 + 1467*T1^6*T2^11 - 3439*T1^7*T2^11 + 
     1284*T1^8*T2^11 + 3204*T1^9*T2^11 - 7740*T1^10*T2^11 + 
     1824*T1^11*T2^11 + 1556*T1^12*T2^11 - 2643*T1^13*T2^11 + 
     581*T1^14*T2^11 + 254*T1^15*T2^11 - 641*T1^16*T2^11 + 21*T1^4*T2^12 + 
     686*T1^5*T2^12 - 951*T1^6*T2^12 + 534*T1^7*T2^12 + 2136*T1^8*T2^12 - 
     4012*T1^9*T2^12 + 3752*T1^10*T2^12 + 1556*T1^11*T2^12 - 
     2004*T1^12*T2^12 + 612*T1^13*T2^12 + 1379*T1^14*T2^12 - 
     1294*T1^15*T2^12 + 773*T1^16*T2^12 - 173*T1^5*T2^13 - 98*T1^6*T2^13 + 
     617*T1^7*T2^13 - 1419*T1^8*T2^13 + 882*T1^9*T2^13 + 651*T1^10*T2^13 - 
     2643*T1^11*T2^13 + 612*T1^12*T2^13 + 1551*T1^13*T2^13 - 
     2488*T1^14*T2^13 + 1594*T1^15*T2^13 - 641*T1^16*T2^13 + 194*T1^6*T2^14 - 
     366*T1^7*T2^14 + 349*T1^8*T2^14 + 272*T1^9*T2^14 - 829*T1^10*T2^14 + 
     581*T1^11*T2^14 + 1379*T1^12*T2^14 - 2488*T1^13*T2^14 + 
     2281*T1^14*T2^14 - 1194*T1^15*T2^14 + 378*T1^16*T2^14 - 112*T1^7*T2^15 + 
     354*T1^8*T2^15 - 618*T1^9*T2^15 + 478*T1^10*T2^15 + 254*T1^11*T2^15 - 
     1294*T1^12*T2^15 + 1594*T1^13*T2^15 - 1194*T1^14*T2^15 + 
     552*T1^15*T2^15 - 148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 
     378*T1^10*T2^16 - 641*T1^11*T2^16 + 773*T1^12*T2^16 - 641*T1^13*T2^16 + 
     378*T1^14*T2^16 - 148*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 918] -> 
  {-((1 - 9*T + 29*T^2 - 53*T^3 + 63*T^4 - 53*T^5 + 29*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 87*T1^2 + 159*T1^3 - 189*T1^4 + 159*T1^5 - 
      87*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 621*T1^2*T2 - 
      909*T1^3*T2 + 747*T1^4*T2 - 297*T1^5*T2 - 171*T1^6*T2 + 279*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 87*T2^2 + 621*T1*T2^2 - 1087*T1^2*T2^2 + 
      145*T1^3*T2^2 + 2324*T1^4*T2^2 - 4131*T1^5*T2^2 + 4296*T1^6*T2^2 - 
      2407*T1^7*T2^2 + 537*T1^8*T2^2 + 99*T1^9*T2^2 - 29*T1^10*T2^2 + 
      159*T2^3 - 909*T1*T2^3 + 145*T1^2*T2^3 + 4424*T1^3*T2^3 - 
      10131*T1^4*T2^3 + 10624*T1^5*T2^3 - 6614*T1^6*T2^3 - 177*T1^7*T2^3 + 
      3092*T1^8*T2^3 - 1856*T1^9*T2^3 + 261*T1^10*T2^3 - 189*T2^4 + 
      747*T1*T2^4 + 2324*T1^2*T2^4 - 10131*T1^3*T2^4 + 14493*T1^4*T2^4 - 
      6757*T1^5*T2^4 - 4823*T1^6*T2^4 + 14591*T1^7*T2^4 - 11859*T1^8*T2^4 + 
      3225*T1^9*T2^4 + 1046*T1^10*T2^4 - 567*T1^11*T2^4 + 63*T1^12*T2^4 + 
      159*T2^5 - 297*T1*T2^5 - 4131*T1^2*T2^5 + 10624*T1^3*T2^5 - 
      6757*T1^4*T2^5 - 11471*T1^5*T2^5 + 24188*T1^6*T2^5 - 24692*T1^7*T2^5 + 
      6401*T1^8*T2^5 + 9996*T1^9*T2^5 - 9290*T1^10*T2^5 + 1956*T1^11*T2^5 + 
      387*T1^12*T2^5 - 106*T1^13*T2^5 - 87*T2^6 - 171*T1*T2^6 + 
      4296*T1^2*T2^6 - 6614*T1^3*T2^6 - 4823*T1^4*T2^6 + 24188*T1^5*T2^6 - 
      24629*T1^6*T2^6 + 6901*T1^7*T2^6 + 20527*T1^8*T2^6 - 27514*T1^9*T2^6 + 
      7327*T1^10*T2^6 + 6610*T1^11*T2^6 - 4176*T1^12*T2^6 + 171*T1^13*T2^6 + 
      87*T1^14*T2^6 + 27*T2^7 + 279*T1*T2^7 - 2407*T1^2*T2^7 - 
      177*T1^3*T2^7 + 14591*T1^4*T2^7 - 24692*T1^5*T2^7 + 6901*T1^6*T2^7 + 
      22052*T1^7*T2^7 - 36130*T1^8*T2^7 + 17350*T1^9*T2^7 + 
      18544*T1^10*T2^7 - 20542*T1^11*T2^7 + 3477*T1^12*T2^7 + 
      2900*T1^13*T2^7 - 459*T1^14*T2^7 - 36*T1^15*T2^7 - 3*T2^8 - 
      135*T1*T2^8 + 537*T1^2*T2^8 + 3092*T1^3*T2^8 - 11859*T1^4*T2^8 + 
      6401*T1^5*T2^8 + 20527*T1^6*T2^8 - 36130*T1^7*T2^8 + 15816*T1^8*T2^8 + 
      20402*T1^9*T2^8 - 43623*T1^10*T2^8 + 15607*T1^11*T2^8 + 
      9881*T1^12*T2^8 - 7896*T1^13*T2^8 - 241*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 99*T1^2*T2^9 - 1856*T1^3*T2^9 + 
      3225*T1^4*T2^9 + 9996*T1^5*T2^9 - 27514*T1^6*T2^9 + 17350*T1^7*T2^9 + 
      20402*T1^8*T2^9 - 37780*T1^9*T2^9 + 27799*T1^10*T2^9 + 
      15722*T1^11*T2^9 - 25137*T1^12*T2^9 + 6879*T1^13*T2^9 + 
      3451*T1^14*T2^9 - 639*T1^15*T2^9 - 45*T1^16*T2^9 - 29*T1^2*T2^10 + 
      261*T1^3*T2^10 + 1046*T1^4*T2^10 - 9290*T1^5*T2^10 + 7327*T1^6*T2^10 + 
      18544*T1^7*T2^10 - 43623*T1^8*T2^10 + 27799*T1^9*T2^10 + 
      1533*T1^10*T2^10 - 33158*T1^11*T2^10 + 19477*T1^12*T2^10 + 
      3934*T1^13*T2^10 - 7426*T1^14*T2^10 + 603*T1^15*T2^10 + 
      145*T1^16*T2^10 - 567*T1^4*T2^11 + 1956*T1^5*T2^11 + 6610*T1^6*T2^11 - 
      20542*T1^7*T2^11 + 15607*T1^8*T2^11 + 15722*T1^9*T2^11 - 
      33158*T1^10*T2^11 + 33479*T1^11*T2^11 - 3789*T1^12*T2^11 - 
      13304*T1^13*T2^11 + 8043*T1^14*T2^11 + 117*T1^15*T2^11 - 
      265*T1^16*T2^11 + 63*T1^4*T2^12 + 387*T1^5*T2^12 - 4176*T1^6*T2^12 + 
      3477*T1^7*T2^12 + 9881*T1^8*T2^12 - 25137*T1^9*T2^12 + 
      19477*T1^10*T2^12 - 3789*T1^11*T2^12 - 16471*T1^12*T2^12 + 
      16833*T1^13*T2^12 - 5454*T1^14*T2^12 - 927*T1^15*T2^12 + 
      315*T1^16*T2^12 - 106*T1^5*T2^13 + 171*T1^6*T2^13 + 2900*T1^7*T2^13 - 
      7896*T1^8*T2^13 + 6879*T1^9*T2^13 + 3934*T1^10*T2^13 - 
      13304*T1^11*T2^13 + 16833*T1^12*T2^13 - 9228*T1^13*T2^13 + 
      899*T1^14*T2^13 + 1341*T1^15*T2^13 - 265*T1^16*T2^13 + 87*T1^6*T2^14 - 
      459*T1^7*T2^14 - 241*T1^8*T2^14 + 3451*T1^9*T2^14 - 7426*T1^10*T2^14 + 
      8043*T1^11*T2^14 - 5454*T1^12*T2^14 + 899*T1^13*T2^14 + 
      1383*T1^14*T2^14 - 981*T1^15*T2^14 + 145*T1^16*T2^14 - 36*T1^7*T2^15 + 
      279*T1^8*T2^15 - 639*T1^9*T2^15 + 603*T1^10*T2^15 + 117*T1^11*T2^15 - 
      927*T1^12*T2^15 + 1341*T1^13*T2^15 - 981*T1^14*T2^15 + 
      369*T1^15*T2^15 - 45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 
      145*T1^10*T2^16 - 265*T1^11*T2^16 + 315*T1^12*T2^16 - 265*T1^13*T2^16 + 
      145*T1^14*T2^16 - 45*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 919] -> 
  {-((2 - 16*T + 45*T^2 - 63*T^3 + 45*T^4 - 16*T^5 + 2*T^6)/T^3), 
   -((-23 + 183*T1 - 514*T1^2 + 719*T1^3 - 514*T1^4 + 183*T1^5 - 23*T1^6 + 
      183*T2 - 1336*T1*T2 + 3143*T1^2*T2 - 3069*T1^3*T2 + 387*T1^4*T2 + 
      1191*T1^5*T2 - 760*T1^6*T2 + 119*T1^7*T2 - 514*T2^2 + 3143*T1*T2^2 - 
      4156*T1^2*T2^2 - 3713*T1^3*T2^2 + 14462*T1^4*T2^2 - 12173*T1^5*T2^2 + 
      3584*T1^6*T2^2 + 263*T1^7*T2^2 - 154*T1^8*T2^2 + 719*T2^3 - 
      3069*T1*T2^3 - 3713*T1^2*T2^3 + 26914*T1^3*T2^3 - 39435*T1^4*T2^3 + 
      15267*T1^5*T2^3 + 7564*T1^6*T2^3 - 7763*T1^7*T2^3 + 1539*T1^8*T2^3 - 
      37*T1^9*T2^3 - 514*T2^4 + 387*T1*T2^4 + 14462*T1^2*T2^4 - 
      39435*T1^3*T2^4 + 26719*T1^4*T2^4 + 31959*T1^5*T2^4 - 52553*T1^6*T2^4 + 
      24573*T1^7*T2^4 - 1594*T1^8*T2^4 - 1341*T1^9*T2^4 + 206*T1^10*T2^4 + 
      183*T2^5 + 1191*T1*T2^5 - 12173*T1^2*T2^5 + 15267*T1^3*T2^5 + 
      31959*T1^4*T2^5 - 97585*T1^5*T2^5 + 79715*T1^6*T2^5 - 7776*T1^7*T2^5 - 
      20823*T1^8*T2^5 + 9517*T1^9*T2^5 - 569*T1^10*T2^5 - 137*T1^11*T2^5 - 
      23*T2^6 - 760*T1*T2^6 + 3584*T1^2*T2^6 + 7564*T1^3*T2^6 - 
      52553*T1^4*T2^6 + 79715*T1^5*T2^6 - 16176*T1^6*T2^6 - 66987*T1^7*T2^6 + 
      58165*T1^8*T2^6 - 12668*T1^9*T2^6 - 3620*T1^10*T2^6 + 904*T1^11*T2^6 + 
      25*T1^12*T2^6 + 119*T1*T2^7 + 263*T1^2*T2^7 - 7763*T1^3*T2^7 + 
      24573*T1^4*T2^7 - 7776*T1^5*T2^7 - 66987*T1^6*T2^7 + 110313*T1^7*T2^7 - 
      47511*T1^8*T2^7 - 11517*T1^9*T2^7 + 13927*T1^10*T2^7 - 
      1497*T1^11*T2^7 - 201*T1^12*T2^7 - 154*T1^2*T2^8 + 1539*T1^3*T2^8 - 
      1594*T1^4*T2^8 - 20823*T1^5*T2^8 + 58165*T1^6*T2^8 - 47511*T1^7*T2^8 - 
      21107*T1^8*T2^8 + 43185*T1^9*T2^8 - 17650*T1^10*T2^8 - 189*T1^11*T2^8 + 
      566*T1^12*T2^8 - 37*T1^3*T2^9 - 1341*T1^4*T2^9 + 9517*T1^5*T2^9 - 
      12668*T1^6*T2^9 - 11517*T1^7*T2^9 + 43185*T1^8*T2^9 - 32018*T1^9*T2^9 + 
      5467*T1^10*T2^9 + 3267*T1^11*T2^9 - 793*T1^12*T2^9 + 206*T1^4*T2^10 - 
      569*T1^5*T2^10 - 3620*T1^6*T2^10 + 13927*T1^7*T2^10 - 
      17650*T1^8*T2^10 + 5467*T1^9*T2^10 + 4120*T1^10*T2^10 - 
      3449*T1^11*T2^10 + 566*T1^12*T2^10 - 137*T1^5*T2^11 + 904*T1^6*T2^11 - 
      1497*T1^7*T2^11 - 189*T1^8*T2^11 + 3267*T1^9*T2^11 - 3449*T1^10*T2^11 + 
      1480*T1^11*T2^11 - 201*T1^12*T2^11 + 25*T1^6*T2^12 - 201*T1^7*T2^12 + 
      566*T1^8*T2^12 - 793*T1^9*T2^12 + 566*T1^10*T2^12 - 201*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 920] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3)*(1 - T + T^2 - T^3 + 
       T^4))/T^5), -((-7 + 28*T1 - 63*T1^2 + 112*T1^3 - 147*T1^4 + 161*T1^5 - 
      147*T1^6 + 112*T1^7 - 63*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 88*T1*T2 + 
      156*T1^2*T2 - 232*T1^3*T2 + 204*T1^4*T2 - 140*T1^5*T2 + 36*T1^6*T2 + 
      56*T1^7*T2 - 132*T1^8*T2 + 104*T1^9*T2 - 68*T1^10*T2 + 24*T1^11*T2 - 
      63*T2^2 + 156*T1*T2^2 - 227*T1^2*T2^2 + 319*T1^3*T2^2 - 178*T1^4*T2^2 + 
      129*T1^5*T2^2 - 33*T1^6*T2^2 + 3*T1^7*T2^2 + 38*T1^8*T2^2 + 
      103*T1^9*T2^2 - 83*T1^10*T2^2 + 84*T1^11*T2^2 - 45*T1^12*T2^2 + 
      112*T2^3 - 232*T1*T2^3 + 319*T1^2*T2^3 - 486*T1^3*T2^3 + 
      223*T1^4*T2^3 - 303*T1^5*T2^3 + 128*T1^6*T2^3 - 64*T1^7*T2^3 - 
      99*T1^8*T2^3 - 77*T1^9*T2^3 - 138*T1^10*T2^3 + 67*T1^11*T2^3 - 
      76*T1^12*T2^3 + 64*T1^13*T2^3 - 147*T2^4 + 204*T1*T2^4 - 
      178*T1^2*T2^4 + 223*T1^3*T2^4 + 426*T1^4*T2^4 - 294*T1^5*T2^4 + 
      750*T1^6*T2^4 - 762*T1^7*T2^4 + 862*T1^8*T2^4 - 354*T1^9*T2^4 + 
      570*T1^10*T2^4 - 97*T1^11*T2^4 + 66*T1^12*T2^4 - 4*T1^13*T2^4 - 
      63*T1^14*T2^4 + 161*T2^5 - 140*T1*T2^5 + 129*T1^2*T2^5 - 
      303*T1^3*T2^5 - 294*T1^4*T2^5 - 389*T1^5*T2^5 - 182*T1^6*T2^5 - 
      33*T1^7*T2^5 - 146*T1^8*T2^5 - 321*T1^9*T2^5 - 329*T1^10*T2^5 - 
      297*T1^11*T2^5 - 11*T1^12*T2^5 - 42*T1^13*T2^5 + 68*T1^14*T2^5 + 
      46*T1^15*T2^5 - 147*T2^6 + 36*T1*T2^6 - 33*T1^2*T2^6 + 128*T1^3*T2^6 + 
      750*T1^4*T2^6 - 182*T1^5*T2^6 + 1584*T1^6*T2^6 - 1451*T1^7*T2^6 + 
      1804*T1^8*T2^6 - 1193*T1^9*T2^6 + 1648*T1^10*T2^6 - 256*T1^11*T2^6 + 
      532*T1^12*T2^6 - 88*T1^13*T2^6 + 7*T1^14*T2^6 - 100*T1^15*T2^6 - 
      21*T1^16*T2^6 + 112*T2^7 + 56*T1*T2^7 + 3*T1^2*T2^7 - 64*T1^3*T2^7 - 
      762*T1^4*T2^7 - 33*T1^5*T2^7 - 1451*T1^6*T2^7 + 655*T1^7*T2^7 - 
      783*T1^8*T2^7 + 68*T1^9*T2^7 - 501*T1^10*T2^7 - 848*T1^11*T2^7 - 
      88*T1^12*T2^7 - 303*T1^13*T2^7 + 96*T1^14*T2^7 + 54*T1^15*T2^7 + 
      84*T1^16*T2^7 - 63*T2^8 - 132*T1*T2^8 + 38*T1^2*T2^8 - 99*T1^3*T2^8 + 
      862*T1^4*T2^8 - 146*T1^5*T2^8 + 1804*T1^6*T2^8 - 783*T1^7*T2^8 + 
      1137*T1^8*T2^8 - 693*T1^9*T2^8 + 1025*T1^10*T2^8 + 213*T1^11*T2^8 + 
      772*T1^12*T2^8 + 54*T1^13*T2^8 + 90*T1^14*T2^8 - 83*T1^15*T2^8 - 
      94*T1^16*T2^8 - 36*T1^17*T2^8 + 9*T1^18*T2^8 + 28*T2^9 + 104*T1*T2^9 + 
      103*T1^2*T2^9 - 77*T1^3*T2^9 - 354*T1^4*T2^9 - 321*T1^5*T2^9 - 
      1193*T1^6*T2^9 + 68*T1^7*T2^9 - 693*T1^8*T2^9 + 535*T1^9*T2^9 - 
      605*T1^10*T2^9 - 348*T1^11*T2^9 - 493*T1^12*T2^9 - 416*T1^13*T2^9 + 
      78*T1^14*T2^9 - 9*T1^15*T2^9 + 103*T1^16*T2^9 + 67*T1^17*T2^9 - 
      4*T1^18*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 - 83*T1^2*T2^10 - 
      138*T1^3*T2^10 + 570*T1^4*T2^10 - 329*T1^5*T2^10 + 1648*T1^6*T2^10 - 
      501*T1^7*T2^10 + 1025*T1^8*T2^10 - 605*T1^9*T2^10 + 24*T1^10*T2^10 + 
      661*T1^11*T2^10 - 85*T1^12*T2^10 + 745*T1^13*T2^10 - 208*T1^14*T2^10 + 
      41*T1^15*T2^10 - 108*T1^16*T2^10 - 66*T1^17*T2^10 - 19*T1^18*T2^10 + 
      20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 84*T1^2*T2^11 + 
      67*T1^3*T2^11 - 97*T1^4*T2^11 - 297*T1^5*T2^11 - 256*T1^6*T2^11 - 
      848*T1^7*T2^11 + 213*T1^8*T2^11 - 348*T1^9*T2^11 + 661*T1^10*T2^11 - 
      479*T1^11*T2^11 - 3*T1^12*T2^11 - 348*T1^13*T2^11 - 71*T1^14*T2^11 + 
      143*T1^15*T2^11 + 48*T1^16*T2^11 + 83*T1^17*T2^11 + 31*T1^18*T2^11 - 
      24*T1^19*T2^11 - 12*T1^20*T2^11 - 45*T1^2*T2^12 - 76*T1^3*T2^12 + 
      66*T1^4*T2^12 - 11*T1^5*T2^12 + 532*T1^6*T2^12 - 88*T1^7*T2^12 + 
      772*T1^8*T2^12 - 493*T1^9*T2^12 - 85*T1^10*T2^12 - 3*T1^11*T2^12 - 
      197*T1^12*T2^12 + 503*T1^13*T2^12 - 260*T1^14*T2^12 + 112*T1^15*T2^12 - 
      240*T1^16*T2^12 + 5*T1^17*T2^12 - 66*T1^18*T2^12 + 20*T1^19*T2^12 + 
      27*T1^20*T2^12 + 64*T1^3*T2^13 - 4*T1^4*T2^13 - 42*T1^5*T2^13 - 
      88*T1^6*T2^13 - 303*T1^7*T2^13 + 54*T1^8*T2^13 - 416*T1^9*T2^13 + 
      745*T1^10*T2^13 - 348*T1^11*T2^13 + 503*T1^12*T2^13 - 411*T1^13*T2^13 + 
      187*T1^14*T2^13 - T1^15*T2^13 + 156*T1^16*T2^13 + 72*T1^17*T2^13 + 
      9*T1^18*T2^13 + 24*T1^19*T2^13 - 48*T1^20*T2^13 - 63*T1^4*T2^14 + 
      68*T1^5*T2^14 + 7*T1^6*T2^14 + 96*T1^7*T2^14 + 90*T1^8*T2^14 + 
      78*T1^9*T2^14 - 208*T1^10*T2^14 - 71*T1^11*T2^14 - 260*T1^12*T2^14 + 
      187*T1^13*T2^14 - 144*T1^14*T2^14 + 4*T1^15*T2^14 - 128*T1^16*T2^14 - 
      120*T1^17*T2^14 + 47*T1^18*T2^14 - 68*T1^19*T2^14 + 63*T1^20*T2^14 + 
      46*T1^5*T2^15 - 100*T1^6*T2^15 + 54*T1^7*T2^15 - 83*T1^8*T2^15 - 
      9*T1^9*T2^15 + 41*T1^10*T2^15 + 143*T1^11*T2^15 + 112*T1^12*T2^15 - 
      T1^13*T2^15 + 4*T1^14*T2^15 + 101*T1^15*T2^15 - 12*T1^16*T2^15 + 
      209*T1^17*T2^15 - 117*T1^18*T2^15 + 108*T1^19*T2^15 - 69*T1^20*T2^15 - 
      21*T1^6*T2^16 + 84*T1^7*T2^16 - 94*T1^8*T2^16 + 103*T1^9*T2^16 - 
      108*T1^10*T2^16 + 48*T1^11*T2^16 - 240*T1^12*T2^16 + 156*T1^13*T2^16 - 
      128*T1^14*T2^16 - 12*T1^15*T2^16 + 36*T1^16*T2^16 - 217*T1^17*T2^16 + 
      150*T1^18*T2^16 - 124*T1^19*T2^16 + 63*T1^20*T2^16 - 36*T1^8*T2^17 + 
      67*T1^9*T2^17 - 66*T1^10*T2^17 + 83*T1^11*T2^17 + 5*T1^12*T2^17 + 
      72*T1^13*T2^17 - 120*T1^14*T2^17 + 209*T1^15*T2^17 - 217*T1^16*T2^17 + 
      282*T1^17*T2^17 - 185*T1^18*T2^17 + 120*T1^19*T2^17 - 48*T1^20*T2^17 + 
      9*T1^8*T2^18 - 4*T1^9*T2^18 - 19*T1^10*T2^18 + 31*T1^11*T2^18 - 
      66*T1^12*T2^18 + 9*T1^13*T2^18 + 47*T1^14*T2^18 - 117*T1^15*T2^18 + 
      150*T1^16*T2^18 - 185*T1^17*T2^18 + 125*T1^18*T2^18 - 76*T1^19*T2^18 + 
      27*T1^20*T2^18 - 8*T1^9*T2^19 + 20*T1^10*T2^19 - 24*T1^11*T2^19 + 
      20*T1^12*T2^19 + 24*T1^13*T2^19 - 68*T1^14*T2^19 + 108*T1^15*T2^19 - 
      124*T1^16*T2^19 + 120*T1^17*T2^19 - 76*T1^18*T2^19 + 40*T1^19*T2^19 - 
      12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 27*T1^12*T2^20 - 
      48*T1^13*T2^20 + 63*T1^14*T2^20 - 69*T1^15*T2^20 + 63*T1^16*T2^20 - 
      48*T1^17*T2^20 + 27*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 921] -> 
  {-(((2 - 3*T + 2*T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((-41 + 184*T1 - 429*T1^2 + 715*T1^3 - 837*T1^4 + 715*T1^5 - 429*T1^6 + 
      184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1262*T1^2*T2 - 1662*T1^3*T2 + 
      1178*T1^4*T2 - 190*T1^5*T2 - 654*T1^6*T2 + 722*T1^7*T2 - 480*T1^8*T2 + 
      148*T1^9*T2 - 429*T2^2 + 1262*T1*T2^2 - 1770*T1^2*T2^2 + 
      1693*T1^3*T2^2 + 140*T1^4*T2^2 - 1604*T1^5*T2^2 + 1820*T1^6*T2^2 - 
      491*T1^7*T2^2 - 174*T1^8*T2^2 + 506*T1^9*T2^2 - 261*T1^10*T2^2 + 
      715*T2^3 - 1662*T1*T2^3 + 1693*T1^2*T2^3 - 1159*T1^3*T2^3 - 
      1656*T1^4*T2^3 + 1951*T1^5*T2^3 - 653*T1^6*T2^3 - 1572*T1^7*T2^3 + 
      941*T1^8*T2^3 - 638*T1^9*T2^3 - 150*T1^10*T2^3 + 295*T1^11*T2^3 - 
      837*T2^4 + 1178*T1*T2^4 + 140*T1^2*T2^4 - 1656*T1^3*T2^4 + 
      5368*T1^4*T2^4 - 3433*T1^5*T2^4 + 1150*T1^6*T2^4 + 639*T1^7*T2^4 + 
      1780*T1^8*T2^4 - 1166*T1^9*T2^4 + 1358*T1^10*T2^4 - 514*T1^11*T2^4 - 
      181*T1^12*T2^4 + 715*T2^5 - 190*T1*T2^5 - 1604*T1^2*T2^5 + 
      1951*T1^3*T2^5 - 3433*T1^4*T2^5 - 2116*T1^5*T2^5 + 3007*T1^6*T2^5 - 
      1361*T1^7*T2^5 - 3356*T1^8*T2^5 + 1126*T1^9*T2^5 - 961*T1^10*T2^5 - 
      461*T1^11*T2^5 + 746*T1^12*T2^5 + 15*T1^13*T2^5 - 429*T2^6 - 
      654*T1*T2^6 + 1820*T1^2*T2^6 - 653*T1^3*T2^6 + 1150*T1^4*T2^6 + 
      3007*T1^5*T2^6 + 1941*T1^6*T2^6 - 6475*T1^7*T2^6 + 8409*T1^8*T2^6 - 
      1445*T1^9*T2^6 + 100*T1^10*T2^6 + 1489*T1^11*T2^6 - 784*T1^12*T2^6 - 
      402*T1^13*T2^6 + 75*T1^14*T2^6 + 184*T2^7 + 722*T1*T2^7 - 
      491*T1^2*T2^7 - 1572*T1^3*T2^7 + 639*T1^4*T2^7 - 1361*T1^5*T2^7 - 
      6475*T1^6*T2^7 + 8285*T1^7*T2^7 - 4259*T1^8*T2^7 - 4046*T1^9*T2^7 + 
      2839*T1^10*T2^7 - 1972*T1^11*T2^7 - 32*T1^12*T2^7 + 958*T1^13*T2^7 - 
      34*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 174*T1^2*T2^8 + 
      941*T1^3*T2^8 + 1780*T1^4*T2^8 - 3356*T1^5*T2^8 + 8409*T1^6*T2^8 - 
      4259*T1^7*T2^8 - 3468*T1^8*T2^8 + 7823*T1^9*T2^8 - 2833*T1^10*T2^8 + 
      260*T1^11*T2^8 + 1076*T1^12*T2^8 - 949*T1^13*T2^8 - 348*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 506*T1^2*T2^9 - 
      638*T1^3*T2^9 - 1166*T1^4*T2^9 + 1126*T1^5*T2^9 - 1445*T1^6*T2^9 - 
      4046*T1^7*T2^9 + 7823*T1^8*T2^9 - 4721*T1^9*T2^9 - 1617*T1^10*T2^9 + 
      2755*T1^11*T2^9 - 1485*T1^12*T2^9 + 374*T1^13*T2^9 + 811*T1^14*T2^9 - 
      250*T1^15*T2^9 - 104*T1^16*T2^9 - 261*T1^2*T2^10 - 150*T1^3*T2^10 + 
      1358*T1^4*T2^10 - 961*T1^5*T2^10 + 100*T1^6*T2^10 + 2839*T1^7*T2^10 - 
      2833*T1^8*T2^10 - 1617*T1^9*T2^10 + 3635*T1^10*T2^10 - 
      1613*T1^11*T2^10 - 950*T1^12*T2^10 + 1181*T1^13*T2^10 - 
      1246*T1^14*T2^10 + 102*T1^15*T2^10 + 243*T1^16*T2^10 + 295*T1^3*T2^11 - 
      514*T1^4*T2^11 - 461*T1^5*T2^11 + 1489*T1^6*T2^11 - 1972*T1^7*T2^11 + 
      260*T1^8*T2^11 + 2755*T1^9*T2^11 - 1613*T1^10*T2^11 - 980*T1^11*T2^11 + 
      2587*T1^12*T2^11 - 1423*T1^13*T2^11 + 682*T1^14*T2^11 + 
      422*T1^15*T2^11 - 405*T1^16*T2^11 - 181*T1^4*T2^12 + 746*T1^5*T2^12 - 
      784*T1^6*T2^12 - 32*T1^7*T2^12 + 1076*T1^8*T2^12 - 1485*T1^9*T2^12 - 
      950*T1^10*T2^12 + 2587*T1^11*T2^12 - 2512*T1^12*T2^12 + 
      458*T1^13*T2^12 + 434*T1^14*T2^12 - 946*T1^15*T2^12 + 475*T1^16*T2^12 + 
      15*T1^5*T2^13 - 402*T1^6*T2^13 + 958*T1^7*T2^13 - 949*T1^8*T2^13 + 
      374*T1^9*T2^13 + 1181*T1^10*T2^13 - 1423*T1^11*T2^13 + 
      458*T1^12*T2^13 + 1151*T1^13*T2^13 - 1373*T1^14*T2^13 + 
      1110*T1^15*T2^13 - 405*T1^16*T2^13 + 75*T1^6*T2^14 - 34*T1^7*T2^14 - 
      348*T1^8*T2^14 + 811*T1^9*T2^14 - 1246*T1^10*T2^14 + 682*T1^11*T2^14 + 
      434*T1^12*T2^14 - 1373*T1^13*T2^14 + 1248*T1^14*T2^14 - 
      790*T1^15*T2^14 + 243*T1^16*T2^14 - 68*T1^7*T2^15 + 204*T1^8*T2^15 - 
      250*T1^9*T2^15 + 102*T1^10*T2^15 + 422*T1^11*T2^15 - 946*T1^12*T2^15 + 
      1110*T1^13*T2^15 - 790*T1^14*T2^15 + 402*T1^15*T2^15 - 
      104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 243*T1^10*T2^16 - 
      405*T1^11*T2^16 + 475*T1^12*T2^16 - 405*T1^13*T2^16 + 243*T1^14*T2^16 - 
      104*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 922] -> 
  {-((2 - 11*T + 32*T^2 - 60*T^3 + 73*T^4 - 60*T^5 + 32*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-41 + 224*T1 - 649*T1^2 + 1215*T1^3 - 1477*T1^4 + 1215*T1^5 - 
      649*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1044*T1*T2 + 2563*T1^2*T2 - 
      3793*T1^3*T2 + 2750*T1^4*T2 - 176*T1^5*T2 - 1769*T1^6*T2 + 
      1617*T1^7*T2 - 758*T1^8*T2 + 180*T1^9*T2 - 649*T2^2 + 2563*T1*T2^2 - 
      5291*T1^2*T2^2 + 5805*T1^3*T2^2 - 432*T1^4*T2^2 - 4629*T1^5*T2^2 + 
      4816*T1^6*T2^2 - 467*T1^7*T2^2 - 1451*T1^8*T2^2 + 1155*T1^9*T2^2 - 
      393*T1^10*T2^2 + 1215*T2^3 - 3793*T1*T2^3 + 5805*T1^2*T2^3 - 
      2090*T1^3*T2^3 - 9539*T1^4*T2^3 + 11101*T1^5*T2^3 - 2595*T1^6*T2^3 - 
      7395*T1^7*T2^3 + 5094*T1^8*T2^3 - 1139*T1^9*T2^3 - 537*T1^10*T2^3 + 
      495*T1^11*T2^3 - 1477*T2^4 + 2750*T1*T2^4 - 432*T1^2*T2^4 - 
      9539*T1^3*T2^4 + 21206*T1^4*T2^4 - 5432*T1^5*T2^4 - 14552*T1^6*T2^4 + 
      20072*T1^7*T2^4 - 2010*T1^8*T2^4 - 4979*T1^9*T2^4 + 3736*T1^10*T2^4 - 
      1034*T1^11*T2^4 - 309*T1^12*T2^4 + 1215*T2^5 - 176*T1*T2^5 - 
      4629*T1^2*T2^5 + 11101*T1^3*T2^5 - 5432*T1^4*T2^5 - 33001*T1^5*T2^5 + 
      42399*T1^6*T2^5 - 17133*T1^7*T2^5 - 21517*T1^8*T2^5 + 17566*T1^9*T2^5 - 
      5027*T1^10*T2^5 - 1170*T1^11*T2^5 + 1606*T1^12*T2^5 + 15*T1^13*T2^5 - 
      649*T2^6 - 1769*T1*T2^6 + 4816*T1^2*T2^6 - 2595*T1^3*T2^6 - 
      14552*T1^4*T2^6 + 42399*T1^5*T2^6 - 6402*T1^6*T2^6 - 46878*T1^7*T2^6 + 
      67310*T1^8*T2^6 - 22129*T1^9*T2^6 - 4760*T1^10*T2^6 + 7453*T1^11*T2^6 - 
      2592*T1^12*T2^6 - 713*T1^13*T2^6 + 119*T1^14*T2^6 + 224*T2^7 + 
      1617*T1*T2^7 - 467*T1^2*T2^7 - 7395*T1^3*T2^7 + 20072*T1^4*T2^7 - 
      17133*T1^5*T2^7 - 46878*T1^6*T2^7 + 79448*T1^7*T2^7 - 46850*T1^8*T2^7 - 
      23566*T1^9*T2^7 + 32407*T1^10*T2^7 - 12950*T1^11*T2^7 + 
      125*T1^12*T2^7 + 2445*T1^13*T2^7 - 209*T1^14*T2^7 - 84*T1^15*T2^7 - 
      41*T2^8 - 758*T1*T2^8 - 1451*T1^2*T2^8 + 5094*T1^3*T2^8 - 
      2010*T1^4*T2^8 - 21517*T1^5*T2^8 + 67310*T1^6*T2^8 - 46850*T1^7*T2^8 - 
      22188*T1^8*T2^8 + 69074*T1^9*T2^8 - 37210*T1^10*T2^8 - 199*T1^11*T2^8 + 
      8638*T1^12*T2^8 - 4250*T1^13*T2^8 - 221*T1^14*T2^8 + 342*T1^15*T2^8 + 
      23*T1^16*T2^8 + 180*T1*T2^9 + 1155*T1^2*T2^9 - 1139*T1^3*T2^9 - 
      4979*T1^4*T2^9 + 17566*T1^5*T2^9 - 22129*T1^6*T2^9 - 23566*T1^7*T2^9 + 
      69074*T1^8*T2^9 - 57224*T1^9*T2^9 - 254*T1^10*T2^9 + 27411*T1^11*T2^9 - 
      15456*T1^12*T2^9 + 2541*T1^13*T2^9 + 1773*T1^14*T2^9 - 671*T1^15*T2^9 - 
      128*T1^16*T2^9 - 393*T1^2*T2^10 - 537*T1^3*T2^10 + 3736*T1^4*T2^10 - 
      5027*T1^5*T2^10 - 4760*T1^6*T2^10 + 32407*T1^7*T2^10 - 
      37210*T1^8*T2^10 - 254*T1^9*T2^10 + 36502*T1^10*T2^10 - 
      32121*T1^11*T2^10 + 5032*T1^12*T2^10 + 5021*T1^13*T2^10 - 
      3672*T1^14*T2^10 + 519*T1^15*T2^10 + 375*T1^16*T2^10 + 495*T1^3*T2^11 - 
      1034*T1^4*T2^11 - 1170*T1^5*T2^11 + 7453*T1^6*T2^11 - 
      12950*T1^7*T2^11 - 199*T1^8*T2^11 + 27411*T1^9*T2^11 - 
      32121*T1^10*T2^11 + 11285*T1^11*T2^11 + 10048*T1^12*T2^11 - 
      8675*T1^13*T2^11 + 2289*T1^14*T2^11 + 748*T1^15*T2^11 - 
      705*T1^16*T2^11 - 309*T1^4*T2^12 + 1606*T1^5*T2^12 - 2592*T1^6*T2^12 + 
      125*T1^7*T2^12 + 8638*T1^8*T2^12 - 15456*T1^9*T2^12 + 
      5032*T1^10*T2^12 + 10048*T1^11*T2^12 - 14578*T1^12*T2^12 + 
      4685*T1^13*T2^12 + 1576*T1^14*T2^12 - 2178*T1^15*T2^12 + 
      859*T1^16*T2^12 + 15*T1^5*T2^13 - 713*T1^6*T2^13 + 2445*T1^7*T2^13 - 
      4250*T1^8*T2^13 + 2541*T1^9*T2^13 + 5021*T1^10*T2^13 - 
      8675*T1^11*T2^13 + 4685*T1^12*T2^13 + 2934*T1^13*T2^13 - 
      4499*T1^14*T2^13 + 2543*T1^15*T2^13 - 705*T1^16*T2^13 + 
      119*T1^6*T2^14 - 209*T1^7*T2^14 - 221*T1^8*T2^14 + 1773*T1^9*T2^14 - 
      3672*T1^10*T2^14 + 2289*T1^11*T2^14 + 1576*T1^12*T2^14 - 
      4499*T1^13*T2^14 + 3619*T1^14*T2^14 - 1617*T1^15*T2^14 + 
      375*T1^16*T2^14 - 84*T1^7*T2^15 + 342*T1^8*T2^15 - 671*T1^9*T2^15 + 
      519*T1^10*T2^15 + 748*T1^11*T2^15 - 2178*T1^12*T2^15 + 
      2543*T1^13*T2^15 - 1617*T1^14*T2^15 + 628*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 375*T1^10*T2^16 - 
      705*T1^11*T2^16 + 859*T1^12*T2^16 - 705*T1^13*T2^16 + 375*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 923] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-57 + 255*T1 - 508*T1^2 + 705*T1^3 - 761*T1^4 + 705*T1^5 - 508*T1^6 + 
      255*T1^7 - 57*T1^8 + 255*T2 - 922*T1*T2 + 1295*T1^2*T2 - 1206*T1^3*T2 + 
      701*T1^4*T2 - 235*T1^5*T2 - 432*T1^6*T2 + 809*T1^7*T2 - 724*T1^8*T2 + 
      219*T1^9*T2 - 508*T2^2 + 1295*T1*T2^2 - 520*T1^2*T2^2 - 829*T1^3*T2^2 + 
      2123*T1^4*T2^2 - 2348*T1^5*T2^2 + 2771*T1^6*T2^2 - 1981*T1^7*T2^2 + 
      632*T1^8*T2^2 + 647*T1^9*T2^2 - 364*T1^10*T2^2 + 705*T2^3 - 
      1206*T1*T2^3 - 829*T1^2*T2^3 + 1932*T1^3*T2^3 - 2177*T1^4*T2^3 + 
      910*T1^5*T2^3 - 1064*T1^6*T2^3 - 611*T1^7*T2^3 + 1608*T1^8*T2^3 - 
      1747*T1^9*T2^3 - 180*T1^10*T2^3 + 405*T1^11*T2^3 - 761*T2^4 + 
      701*T1*T2^4 + 2123*T1^2*T2^4 - 2177*T1^3*T2^4 + 2012*T1^4*T2^4 - 
      826*T1^5*T2^4 + 2124*T1^6*T2^4 - 232*T1^7*T2^4 + 212*T1^8*T2^4 - 
      377*T1^9*T2^4 + 1961*T1^10*T2^4 - 343*T1^11*T2^4 - 329*T1^12*T2^4 + 
      705*T2^5 - 235*T1*T2^5 - 2348*T1^2*T2^5 + 910*T1^3*T2^5 - 
      826*T1^4*T2^5 - 41*T1^5*T2^5 - 1794*T1^6*T2^5 - 597*T1^7*T2^5 - 
      185*T1^8*T2^5 - 43*T1^9*T2^5 - 1012*T1^10*T2^5 - 1187*T1^11*T2^5 + 
      557*T1^12*T2^5 + 205*T1^13*T2^5 - 508*T2^6 - 432*T1*T2^6 + 
      2771*T1^2*T2^6 - 1064*T1^3*T2^6 + 2124*T1^4*T2^6 - 1794*T1^5*T2^6 + 
      3495*T1^6*T2^6 - 475*T1^7*T2^6 + 1299*T1^8*T2^6 - 246*T1^9*T2^6 + 
      1008*T1^10*T2^6 + 988*T1^11*T2^6 + 503*T1^12*T2^6 - 576*T1^13*T2^6 - 
      76*T1^14*T2^6 + 255*T2^7 + 809*T1*T2^7 - 1981*T1^2*T2^7 - 
      611*T1^3*T2^7 - 232*T1^4*T2^7 - 597*T1^5*T2^7 - 475*T1^6*T2^7 - 
      2153*T1^7*T2^7 + 313*T1^8*T2^7 - 448*T1^9*T2^7 - 1092*T1^10*T2^7 - 
      259*T1^11*T2^7 - 1241*T1^12*T2^7 + 341*T1^13*T2^7 + 323*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 724*T1*T2^8 + 632*T1^2*T2^8 + 1608*T1^3*T2^8 + 
      212*T1^4*T2^8 - 185*T1^5*T2^8 + 1299*T1^6*T2^8 + 313*T1^7*T2^8 + 
      1968*T1^8*T2^8 - 1685*T1^9*T2^8 + 2125*T1^10*T2^8 - 263*T1^11*T2^8 + 
      1004*T1^12*T2^8 + 392*T1^13*T2^8 - 574*T1^14*T2^8 - 40*T1^15*T2^8 + 
      7*T1^16*T2^8 + 219*T1*T2^9 + 647*T1^2*T2^9 - 1747*T1^3*T2^9 - 
      377*T1^4*T2^9 - 43*T1^5*T2^9 - 246*T1^6*T2^9 - 448*T1^7*T2^9 - 
      1685*T1^8*T2^9 + 781*T1^9*T2^9 - 421*T1^10*T2^9 - 741*T1^11*T2^9 - 
      70*T1^12*T2^9 - 1007*T1^13*T2^9 + 575*T1^14*T2^9 + 161*T1^15*T2^9 - 
      33*T1^16*T2^9 - 364*T1^2*T2^10 - 180*T1^3*T2^10 + 1961*T1^4*T2^10 - 
      1012*T1^5*T2^10 + 1008*T1^6*T2^10 - 1092*T1^7*T2^10 + 2125*T1^8*T2^10 - 
      421*T1^9*T2^10 - 71*T1^10*T2^10 + 456*T1^11*T2^10 - 108*T1^12*T2^10 + 
      1040*T1^13*T2^10 - 307*T1^14*T2^10 - 324*T1^15*T2^10 + 68*T1^16*T2^10 + 
      405*T1^3*T2^11 - 343*T1^4*T2^11 - 1187*T1^5*T2^11 + 988*T1^6*T2^11 - 
      259*T1^7*T2^11 - 263*T1^8*T2^11 - 741*T1^9*T2^11 + 456*T1^10*T2^11 - 
      407*T1^11*T2^11 + 524*T1^12*T2^11 - 934*T1^13*T2^11 - 26*T1^14*T2^11 + 
      449*T1^15*T2^11 - 95*T1^16*T2^11 - 329*T1^4*T2^12 + 557*T1^5*T2^12 + 
      503*T1^6*T2^12 - 1241*T1^7*T2^12 + 1004*T1^8*T2^12 - 70*T1^9*T2^12 - 
      108*T1^10*T2^12 + 524*T1^11*T2^12 - 796*T1^12*T2^12 + 559*T1^13*T2^12 + 
      341*T1^14*T2^12 - 487*T1^15*T2^12 + 103*T1^16*T2^12 + 205*T1^5*T2^13 - 
      576*T1^6*T2^13 + 341*T1^7*T2^13 + 392*T1^8*T2^13 - 1007*T1^9*T2^13 + 
      1040*T1^10*T2^13 - 934*T1^11*T2^13 + 559*T1^12*T2^13 + 68*T1^13*T2^13 - 
      577*T1^14*T2^13 + 450*T1^15*T2^13 - 95*T1^16*T2^13 - 76*T1^6*T2^14 + 
      323*T1^7*T2^14 - 574*T1^8*T2^14 + 575*T1^9*T2^14 - 307*T1^10*T2^14 - 
      26*T1^11*T2^14 + 341*T1^12*T2^14 - 577*T1^13*T2^14 + 578*T1^14*T2^14 - 
      325*T1^15*T2^14 + 68*T1^16*T2^14 + 3*T1^7*T2^15 - 40*T1^8*T2^15 + 
      161*T1^9*T2^15 - 324*T1^10*T2^15 + 449*T1^11*T2^15 - 487*T1^12*T2^15 + 
      450*T1^13*T2^15 - 325*T1^14*T2^15 + 158*T1^15*T2^15 - 33*T1^16*T2^15 + 
      7*T1^8*T2^16 - 33*T1^9*T2^16 + 68*T1^10*T2^16 - 95*T1^11*T2^16 + 
      103*T1^12*T2^16 - 95*T1^13*T2^16 + 68*T1^14*T2^16 - 33*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 924] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-336 + 1664*T1 - 3556*T1^2 + 4544*T1^3 - 3556*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6900*T1*T2 + 10982*T1^2*T2 - 8338*T1^3*T2 - 
      498*T1^4*T2 + 5942*T1^5*T2 - 4980*T1^6*T2 + 1344*T1^7*T2 - 3556*T2^2 + 
      10982*T1*T2^2 - 7060*T1^2*T2^2 - 11243*T1^3*T2^2 + 29044*T1^4*T2^2 - 
      23283*T1^5*T2^2 + 6356*T1^6*T2^2 + 4102*T1^7*T2^2 - 2180*T1^8*T2^2 + 
      4544*T2^3 - 8338*T1*T2^3 - 11243*T1^2*T2^3 + 37638*T1^3*T2^3 - 
      39912*T1^4*T2^3 + 2788*T1^5*T2^3 + 22398*T1^6*T2^3 - 18983*T1^7*T2^3 + 
      1422*T1^8*T2^3 + 1904*T1^9*T2^3 - 3556*T2^4 - 498*T1*T2^4 + 
      29044*T1^2*T2^4 - 39912*T1^3*T2^4 + 9364*T1^4*T2^4 + 43050*T1^5*T2^4 - 
      40804*T1^6*T2^4 + 8048*T1^7*T2^4 + 14628*T1^8*T2^4 - 5458*T1^9*T2^4 - 
      804*T1^10*T2^4 + 1664*T2^5 + 5942*T1*T2^5 - 23283*T1^2*T2^5 + 
      2788*T1^3*T2^5 + 43050*T1^4*T2^5 - 64955*T1^5*T2^5 + 13875*T1^6*T2^5 + 
      29075*T1^7*T2^5 - 29392*T1^8*T2^5 + 1657*T1^9*T2^5 + 3622*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4980*T1*T2^6 + 6356*T1^2*T2^6 + 
      22398*T1^3*T2^6 - 40804*T1^4*T2^6 + 13875*T1^5*T2^6 + 48420*T1^6*T2^6 - 
      55075*T1^7*T2^6 + 19546*T1^8*T2^6 + 11958*T1^9*T2^6 - 6724*T1^10*T2^6 - 
      500*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 4102*T1^2*T2^7 - 
      18983*T1^3*T2^7 + 8048*T1^4*T2^7 + 29075*T1^5*T2^7 - 55075*T1^6*T2^7 + 
      23755*T1^7*T2^7 + 15100*T1^8*T2^7 - 24132*T1^9*T2^7 + 5957*T1^10*T2^7 + 
      1782*T1^11*T2^7 - 256*T1^12*T2^7 - 2180*T1^2*T2^8 + 1422*T1^3*T2^8 + 
      14628*T1^4*T2^8 - 29392*T1^5*T2^8 + 19546*T1^6*T2^8 + 15100*T1^7*T2^8 - 
      30622*T1^8*T2^8 + 18568*T1^9*T2^8 + 212*T1^10*T2^8 - 3538*T1^11*T2^8 + 
      572*T1^12*T2^8 + 1904*T1^3*T2^9 - 5458*T1^4*T2^9 + 1657*T1^5*T2^9 + 
      11958*T1^6*T2^9 - 24132*T1^7*T2^9 + 18568*T1^8*T2^9 - 3282*T1^9*T2^9 - 
      6083*T1^10*T2^9 + 4302*T1^11*T2^9 - 736*T1^12*T2^9 - 804*T1^4*T2^10 + 
      3622*T1^5*T2^10 - 6724*T1^6*T2^10 + 5957*T1^7*T2^10 + 212*T1^8*T2^10 - 
      6083*T1^9*T2^10 + 6692*T1^10*T2^10 - 3258*T1^11*T2^10 + 
      572*T1^12*T2^10 + 64*T1^5*T2^11 - 500*T1^6*T2^11 + 1782*T1^7*T2^11 - 
      3538*T1^8*T2^11 + 4302*T1^9*T2^11 - 3258*T1^10*T2^11 + 
      1420*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      572*T1^8*T2^12 - 736*T1^9*T2^12 + 572*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 925] -> 
  {(2 - 10*T + 28*T^2 - 51*T^3 + 63*T^4 - 51*T^5 + 28*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 156*T1 - 438*T1^2 + 799*T1^3 - 987*T1^4 + 799*T1^5 - 
     438*T1^6 + 156*T1^7 - 31*T1^8 + 156*T2 - 668*T1*T2 + 1617*T1^2*T2 - 
     2375*T1^3*T2 + 1966*T1^4*T2 - 314*T1^5*T2 - 795*T1^6*T2 + 857*T1^7*T2 - 
     428*T1^8*T2 + 116*T1^9*T2 - 438*T2^2 + 1617*T1*T2^2 - 3449*T1^2*T2^2 + 
     4066*T1^3*T2^2 - 1811*T1^4*T2^2 - 1909*T1^5*T2^2 + 2109*T1^6*T2^2 - 
     526*T1^7*T2^2 - 537*T1^8*T2^2 + 497*T1^9*T2^2 - 214*T1^10*T2^2 + 
     799*T2^3 - 2375*T1*T2^3 + 4066*T1^2*T2^3 - 2508*T1^3*T2^3 - 
     2777*T1^4*T2^3 + 6521*T1^5*T2^3 - 1225*T1^6*T2^3 - 2995*T1^7*T2^3 + 
     3070*T1^8*T2^3 - 1142*T1^9*T2^3 + 125*T1^10*T2^3 + 187*T1^11*T2^3 - 
     987*T2^4 + 1966*T1*T2^4 - 1811*T1^2*T2^4 - 2777*T1^3*T2^4 + 
     7864*T1^4*T2^4 - 4854*T1^5*T2^4 - 9092*T1^6*T2^4 + 10182*T1^7*T2^4 - 
     3212*T1^8*T2^4 - 1961*T1^9*T2^4 + 2101*T1^10*T2^4 - 1034*T1^11*T2^4 + 
     21*T1^12*T2^4 + 799*T2^5 - 314*T1*T2^5 - 1909*T1^2*T2^5 + 
     6521*T1^3*T2^5 - 4854*T1^4*T2^5 - 8538*T1^5*T2^5 + 23365*T1^6*T2^5 - 
     9497*T1^7*T2^5 - 6666*T1^8*T2^5 + 8922*T1^9*T2^5 - 3253*T1^10*T2^5 - 
     145*T1^11*T2^5 + 1006*T1^12*T2^5 - 221*T1^13*T2^5 - 438*T2^6 - 
     795*T1*T2^6 + 2109*T1^2*T2^6 - 1225*T1^3*T2^6 - 9092*T1^4*T2^6 + 
     23365*T1^5*T2^6 - 21000*T1^6*T2^6 - 12980*T1^7*T2^6 + 27576*T1^8*T2^6 - 
     13979*T1^9*T2^6 - 236*T1^10*T2^6 + 3479*T1^11*T2^6 - 1827*T1^12*T2^6 - 
     75*T1^13*T2^6 + 234*T1^14*T2^6 + 156*T2^7 + 857*T1*T2^7 - 
     526*T1^2*T2^7 - 2995*T1^3*T2^7 + 10182*T1^4*T2^7 - 9497*T1^5*T2^7 - 
     12980*T1^6*T2^7 + 44903*T1^7*T2^7 - 34463*T1^8*T2^7 - 1605*T1^9*T2^7 + 
     14401*T1^10*T2^7 - 8634*T1^11*T2^7 + 1359*T1^12*T2^7 + 986*T1^13*T2^7 - 
     543*T1^14*T2^7 - 124*T1^15*T2^7 - 31*T2^8 - 428*T1*T2^8 - 
     537*T1^2*T2^8 + 3070*T1^3*T2^8 - 3212*T1^4*T2^8 - 6666*T1^5*T2^8 + 
     27576*T1^6*T2^8 - 34463*T1^7*T2^8 + 1212*T1^8*T2^8 + 34311*T1^9*T2^8 - 
     24114*T1^10*T2^8 + 4818*T1^11*T2^8 + 3992*T1^12*T2^8 - 2718*T1^13*T2^8 + 
     631*T1^14*T2^8 + 452*T1^15*T2^8 + 33*T1^16*T2^8 + 116*T1*T2^9 + 
     497*T1^2*T2^9 - 1142*T1^3*T2^9 - 1961*T1^4*T2^9 + 8922*T1^5*T2^9 - 
     13979*T1^6*T2^9 - 1605*T1^7*T2^9 + 34311*T1^8*T2^9 - 45055*T1^9*T2^9 + 
     9770*T1^10*T2^9 + 9919*T1^11*T2^9 - 9894*T1^12*T2^9 + 2393*T1^13*T2^9 + 
     370*T1^14*T2^9 - 903*T1^15*T2^9 - 164*T1^16*T2^9 - 214*T1^2*T2^10 + 
     125*T1^3*T2^10 + 2101*T1^4*T2^10 - 3253*T1^5*T2^10 - 236*T1^6*T2^10 + 
     14401*T1^7*T2^10 - 24114*T1^8*T2^10 + 9770*T1^9*T2^10 + 
     24462*T1^10*T2^10 - 22943*T1^11*T2^10 + 8620*T1^12*T2^10 + 
     1451*T1^13*T2^10 - 1835*T1^14*T2^10 + 845*T1^15*T2^10 + 
     458*T1^16*T2^10 + 187*T1^3*T2^11 - 1034*T1^4*T2^11 - 145*T1^5*T2^11 + 
     3479*T1^6*T2^11 - 8634*T1^7*T2^11 + 4818*T1^8*T2^11 + 9919*T1^9*T2^11 - 
     22943*T1^10*T2^11 + 6690*T1^11*T2^11 + 5142*T1^12*T2^11 - 
     6295*T1^13*T2^11 + 1619*T1^14*T2^11 + 286*T1^15*T2^11 - 
     833*T1^16*T2^11 + 21*T1^4*T2^12 + 1006*T1^5*T2^12 - 1827*T1^6*T2^12 + 
     1359*T1^7*T2^12 + 3992*T1^8*T2^12 - 9894*T1^9*T2^12 + 8620*T1^10*T2^12 + 
     5142*T1^11*T2^12 - 7084*T1^12*T2^12 + 2175*T1^13*T2^12 + 
     2085*T1^14*T2^12 - 1994*T1^15*T2^12 + 1029*T1^16*T2^12 - 
     221*T1^5*T2^13 - 75*T1^6*T2^13 + 986*T1^7*T2^13 - 2718*T1^8*T2^13 + 
     2393*T1^9*T2^13 + 1451*T1^10*T2^13 - 6295*T1^11*T2^13 + 
     2175*T1^12*T2^13 + 2860*T1^13*T2^13 - 4222*T1^14*T2^13 + 
     2425*T1^15*T2^13 - 833*T1^16*T2^13 + 234*T1^6*T2^14 - 543*T1^7*T2^14 + 
     631*T1^8*T2^14 + 370*T1^9*T2^14 - 1835*T1^10*T2^14 + 1619*T1^11*T2^14 + 
     2085*T1^12*T2^14 - 4222*T1^13*T2^14 + 3543*T1^14*T2^14 - 
     1663*T1^15*T2^14 + 458*T1^16*T2^14 - 124*T1^7*T2^15 + 452*T1^8*T2^15 - 
     903*T1^9*T2^15 + 845*T1^10*T2^15 + 286*T1^11*T2^15 - 1994*T1^12*T2^15 + 
     2425*T1^13*T2^15 - 1663*T1^14*T2^15 + 692*T1^15*T2^15 - 
     164*T1^16*T2^15 + 33*T1^8*T2^16 - 164*T1^9*T2^16 + 458*T1^10*T2^16 - 
     833*T1^11*T2^16 + 1029*T1^12*T2^16 - 833*T1^13*T2^16 + 458*T1^14*T2^16 - 
     164*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 926] -> 
  {-((2 - 8*T + 16*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-41 + 164*T1 - 328*T1^2 + 492*T1^3 - 553*T1^4 + 492*T1^5 - 
      328*T1^6 + 164*T1^7 - 41*T1^8 + 164*T2 - 524*T1*T2 + 784*T1^2*T2 - 
      912*T1^3*T2 + 628*T1^4*T2 - 188*T1^5*T2 - 272*T1^6*T2 + 400*T1^7*T2 - 
      364*T1^8*T2 + 132*T1^9*T2 - 328*T2^2 + 784*T1*T2^2 - 712*T1^2*T2^2 + 
      508*T1^3*T2^2 + 340*T1^4*T2^2 - 832*T1^5*T2^2 + 1044*T1^6*T2^2 - 
      516*T1^7*T2^2 + 184*T1^8*T2^2 + 272*T1^9*T2^2 - 200*T1^10*T2^2 + 
      492*T2^3 - 912*T1*T2^3 + 508*T1^2*T2^3 - 428*T1^3*T2^3 - 
      553*T1^4*T2^3 + 451*T1^5*T2^3 - 317*T1^6*T2^3 - 473*T1^7*T2^3 + 
      244*T1^8*T2^3 - 516*T1^9*T2^3 - 16*T1^10*T2^3 + 204*T1^11*T2^3 - 
      553*T2^4 + 628*T1*T2^4 + 340*T1^2*T2^4 - 553*T1^3*T2^4 + 
      2128*T1^4*T2^4 - 1669*T1^5*T2^4 + 1666*T1^6*T2^4 - 901*T1^7*T2^4 + 
      1384*T1^8*T2^4 - 361*T1^9*T2^4 + 724*T1^10*T2^4 - 332*T1^11*T2^4 - 
      121*T1^12*T2^4 + 492*T2^5 - 188*T1*T2^5 - 832*T1^2*T2^5 + 
      451*T1^3*T2^5 - 1669*T1^4*T2^5 + 248*T1^5*T2^5 - 478*T1^6*T2^5 + 
      98*T1^7*T2^5 - 832*T1^8*T2^5 - 517*T1^9*T2^5 - 317*T1^10*T2^5 - 
      256*T1^11*T2^5 + 436*T1^12*T2^5 + 12*T1^13*T2^5 - 328*T2^6 - 
      272*T1*T2^6 + 1044*T1^2*T2^6 - 317*T1^3*T2^6 + 1666*T1^4*T2^6 - 
      478*T1^5*T2^6 + 1694*T1^6*T2^6 - 1586*T1^7*T2^6 + 1598*T1^8*T2^6 + 
      290*T1^9*T2^6 + 514*T1^10*T2^6 + 451*T1^11*T2^6 - 300*T1^12*T2^6 - 
      272*T1^13*T2^6 + 56*T1^14*T2^6 + 164*T2^7 + 400*T1*T2^7 - 
      516*T1^2*T2^7 - 473*T1^3*T2^7 - 901*T1^4*T2^7 + 98*T1^5*T2^7 - 
      1586*T1^6*T2^7 + 1028*T1^7*T2^7 - 180*T1^8*T2^7 - 1138*T1^9*T2^7 - 
      94*T1^10*T2^7 - 517*T1^11*T2^7 - 105*T1^12*T2^7 + 508*T1^13*T2^7 + 
      16*T1^14*T2^7 - 60*T1^15*T2^7 - 41*T2^8 - 364*T1*T2^8 + 184*T1^2*T2^8 + 
      244*T1^3*T2^8 + 1384*T1^4*T2^8 - 832*T1^5*T2^8 + 1598*T1^6*T2^8 - 
      180*T1^7*T2^8 - 1092*T1^8*T2^8 + 1228*T1^9*T2^8 + 62*T1^10*T2^8 + 
      320*T1^11*T2^8 + 200*T1^12*T2^8 - 268*T1^13*T2^8 - 328*T1^14*T2^8 + 
      148*T1^15*T2^8 + 23*T1^16*T2^8 + 132*T1*T2^9 + 272*T1^2*T2^9 - 
      516*T1^3*T2^9 - 361*T1^4*T2^9 - 517*T1^5*T2^9 + 290*T1^6*T2^9 - 
      1138*T1^7*T2^9 + 1228*T1^8*T2^9 + 20*T1^9*T2^9 - 690*T1^10*T2^9 + 
      98*T1^11*T2^9 - 133*T1^12*T2^9 + 7*T1^13*T2^9 + 508*T1^14*T2^9 - 
      112*T1^15*T2^9 - 92*T1^16*T2^9 - 200*T1^2*T2^10 - 16*T1^3*T2^10 + 
      724*T1^4*T2^10 - 317*T1^5*T2^10 + 514*T1^6*T2^10 - 94*T1^7*T2^10 + 
      62*T1^8*T2^10 - 690*T1^9*T2^10 - 34*T1^10*T2^10 + 674*T1^11*T2^10 - 
      638*T1^12*T2^10 + 451*T1^13*T2^10 - 620*T1^14*T2^10 - 16*T1^15*T2^10 + 
      184*T1^16*T2^10 + 204*T1^3*T2^11 - 332*T1^4*T2^11 - 256*T1^5*T2^11 + 
      451*T1^6*T2^11 - 517*T1^7*T2^11 + 320*T1^8*T2^11 + 98*T1^9*T2^11 + 
      674*T1^10*T2^11 - 760*T1^11*T2^11 + 635*T1^12*T2^11 - 317*T1^13*T2^11 + 
      320*T1^14*T2^11 + 292*T1^15*T2^11 - 276*T1^16*T2^11 - 121*T1^4*T2^12 + 
      436*T1^5*T2^12 - 300*T1^6*T2^12 - 105*T1^7*T2^12 + 200*T1^8*T2^12 - 
      133*T1^9*T2^12 - 638*T1^10*T2^12 + 635*T1^11*T2^12 - 544*T1^12*T2^12 + 
      87*T1^13*T2^12 + 84*T1^14*T2^12 - 524*T1^15*T2^12 + 311*T1^16*T2^12 + 
      12*T1^5*T2^13 - 272*T1^6*T2^13 + 508*T1^7*T2^13 - 268*T1^8*T2^13 + 
      7*T1^9*T2^13 + 451*T1^10*T2^13 - 317*T1^11*T2^13 + 87*T1^12*T2^13 + 
      404*T1^13*T2^13 - 516*T1^14*T2^13 + 624*T1^15*T2^13 - 276*T1^16*T2^13 + 
      56*T1^6*T2^14 + 16*T1^7*T2^14 - 328*T1^8*T2^14 + 508*T1^9*T2^14 - 
      620*T1^10*T2^14 + 320*T1^11*T2^14 + 84*T1^12*T2^14 - 516*T1^13*T2^14 + 
      568*T1^14*T2^14 - 496*T1^15*T2^14 + 184*T1^16*T2^14 - 60*T1^7*T2^15 + 
      148*T1^8*T2^15 - 112*T1^9*T2^15 - 16*T1^10*T2^15 + 292*T1^11*T2^15 - 
      524*T1^12*T2^15 + 624*T1^13*T2^15 - 496*T1^14*T2^15 + 308*T1^15*T2^15 - 
      92*T1^16*T2^15 + 23*T1^8*T2^16 - 92*T1^9*T2^16 + 184*T1^10*T2^16 - 
      276*T1^11*T2^16 + 311*T1^12*T2^16 - 276*T1^13*T2^16 + 184*T1^14*T2^16 - 
      92*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 927] -> 
  {-(((1 - T + T^2)*(4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4))/T^3), 
   -((-208 + 932*T1 - 1916*T1^2 + 2440*T1^3 - 1916*T1^4 + 932*T1^5 - 
      208*T1^6 + 932*T2 - 3534*T1*T2 + 5708*T1^2*T2 - 5012*T1^3*T2 + 
      1036*T1^4*T2 + 1748*T1^5*T2 - 1950*T1^6*T2 + 644*T1^7*T2 - 1916*T2^2 + 
      5708*T1*T2^2 - 5543*T1^2*T2^2 - 554*T1^3*T2^2 + 9107*T1^4*T2^2 - 
      9138*T1^5*T2^2 + 4225*T1^6*T2^2 + 380*T1^7*T2^2 - 732*T1^8*T2^2 + 
      2440*T2^3 - 5012*T1*T2^3 - 554*T1^2*T2^3 + 10810*T1^3*T2^3 - 
      17453*T1^4*T2^3 + 7471*T1^5*T2^3 + 2944*T1^6*T2^3 - 6770*T1^7*T2^3 + 
      2476*T1^8*T2^3 + 184*T1^9*T2^3 - 1916*T2^4 + 1036*T1*T2^4 + 
      9107*T1^2*T2^4 - 17453*T1^3*T2^4 + 14905*T1^4*T2^4 + 5587*T1^5*T2^4 - 
      14627*T1^6*T2^4 + 10559*T1^7*T2^4 + 555*T1^8*T2^4 - 2852*T1^9*T2^4 + 
      452*T1^10*T2^4 + 932*T2^5 + 1748*T1*T2^5 - 9138*T1^2*T2^5 + 
      7471*T1^3*T2^5 + 5587*T1^4*T2^5 - 24957*T1^5*T2^5 + 19149*T1^6*T2^5 - 
      1480*T1^7*T2^5 - 11277*T1^8*T2^5 + 6550*T1^9*T2^5 + 236*T1^10*T2^5 - 
      508*T1^11*T2^5 - 208*T2^6 - 1950*T1*T2^6 + 4225*T1^2*T2^6 + 
      2944*T1^3*T2^6 - 14627*T1^4*T2^6 + 19149*T1^5*T2^6 + 888*T1^6*T2^6 - 
      19213*T1^7*T2^6 + 18367*T1^8*T2^6 - 2900*T1^9*T2^6 - 4599*T1^10*T2^6 + 
      1506*T1^11*T2^6 + 176*T1^12*T2^6 + 644*T1*T2^7 + 380*T1^2*T2^7 - 
      6770*T1^3*T2^7 + 10559*T1^4*T2^7 - 1480*T1^5*T2^7 - 19213*T1^6*T2^7 + 
      24893*T1^7*T2^7 - 8547*T1^8*T2^7 - 8189*T1^9*T2^7 + 8918*T1^10*T2^7 - 
      1132*T1^11*T2^7 - 796*T1^12*T2^7 - 732*T1^2*T2^8 + 2476*T1^3*T2^8 + 
      555*T1^4*T2^8 - 11277*T1^5*T2^8 + 18367*T1^6*T2^8 - 8547*T1^7*T2^8 - 
      11165*T1^8*T2^8 + 16735*T1^9*T2^8 - 7997*T1^10*T2^8 - 1412*T1^11*T2^8 + 
      1636*T1^12*T2^8 + 184*T1^3*T2^9 - 2852*T1^4*T2^9 + 6550*T1^5*T2^9 - 
      2900*T1^6*T2^9 - 8189*T1^7*T2^9 + 16735*T1^8*T2^9 - 10766*T1^9*T2^9 + 
      334*T1^10*T2^9 + 4636*T1^11*T2^9 - 2072*T1^12*T2^9 + 452*T1^4*T2^10 + 
      236*T1^5*T2^10 - 4599*T1^6*T2^10 + 8918*T1^7*T2^10 - 7997*T1^8*T2^10 + 
      334*T1^9*T2^10 + 5169*T1^10*T2^10 - 5092*T1^11*T2^10 + 
      1636*T1^12*T2^10 - 508*T1^5*T2^11 + 1506*T1^6*T2^11 - 1132*T1^7*T2^11 - 
      1412*T1^8*T2^11 + 4636*T1^9*T2^11 - 5092*T1^10*T2^11 + 
      3090*T1^11*T2^11 - 796*T1^12*T2^11 + 176*T1^6*T2^12 - 796*T1^7*T2^12 + 
      1636*T1^8*T2^12 - 2072*T1^9*T2^12 + 1636*T1^10*T2^12 - 
      796*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 928] -> 
  {(1 - 8*T + 31*T^2 - 69*T^3 + 91*T^4 - 69*T^5 + 31*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 124*T1^2 + 276*T1^3 - 364*T1^4 + 276*T1^5 - 124*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 800*T1^2*T2 - 1464*T1^3*T2 + 
     1256*T1^4*T2 - 24*T1^5*T2 - 664*T1^6*T2 + 488*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 124*T2^2 + 800*T1*T2^2 - 2367*T1^2*T2^2 + 3094*T1^3*T2^2 + 
     36*T1^4*T2^2 - 4613*T1^5*T2^2 + 3756*T1^6*T2^2 - 688*T1^7*T2^2 - 
     507*T1^8*T2^2 + 304*T1^9*T2^2 - 62*T1^10*T2^2 + 276*T2^3 - 
     1464*T1*T2^3 + 3094*T1^2*T2^3 + 81*T1^3*T2^3 - 11216*T1^4*T2^3 + 
     16400*T1^5*T2^3 - 2580*T1^6*T2^3 - 6909*T1^7*T2^3 + 4899*T1^8*T2^3 - 
     1091*T1^9*T2^3 - 56*T1^10*T2^3 + 69*T1^11*T2^3 - 364*T2^4 + 
     1256*T1*T2^4 + 36*T1^2*T2^4 - 11216*T1^3*T2^4 + 25722*T1^4*T2^4 - 
     10820*T1^5*T2^4 - 31730*T1^6*T2^4 + 33216*T1^7*T2^4 - 8862*T1^8*T2^4 - 
     3212*T1^9*T2^4 + 2488*T1^10*T2^4 - 552*T1^11*T2^4 + 276*T2^5 - 
     24*T1*T2^5 - 4613*T1^2*T2^5 + 16400*T1^3*T2^5 - 10820*T1^4*T2^5 - 
     45664*T1^5*T2^5 + 96655*T1^6*T2^5 - 40640*T1^7*T2^5 - 23830*T1^8*T2^5 + 
     27244*T1^9*T2^5 - 8248*T1^10*T2^5 + 25*T1^11*T2^5 + 552*T1^12*T2^5 - 
     69*T1^13*T2^5 - 124*T2^6 - 664*T1*T2^6 + 3756*T1^2*T2^6 - 
     2580*T1^3*T2^6 - 31730*T1^4*T2^6 + 96655*T1^5*T2^6 - 83261*T1^6*T2^6 - 
     62133*T1^7*T2^6 + 126151*T1^8*T2^6 - 61621*T1^9*T2^6 + 2104*T1^10*T2^6 + 
     7898*T1^11*T2^6 - 2500*T1^12*T2^6 + 56*T1^13*T2^6 + 62*T1^14*T2^6 + 
     32*T2^7 + 488*T1*T2^7 - 688*T1^2*T2^7 - 6909*T1^3*T2^7 + 
     33216*T1^4*T2^7 - 40640*T1^5*T2^7 - 62133*T1^6*T2^7 + 222150*T1^7*T2^7 - 
     188646*T1^8*T2^7 + 15548*T1^9*T2^7 + 54693*T1^10*T2^7 - 
     28736*T1^11*T2^7 + 3572*T1^12*T2^7 + 1079*T1^13*T2^7 - 304*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 507*T1^2*T2^8 + 4899*T1^3*T2^8 - 
     8862*T1^4*T2^8 - 23830*T1^5*T2^8 + 126151*T1^6*T2^8 - 188646*T1^7*T2^8 + 
     38292*T1^8*T2^8 + 159646*T1^9*T2^8 - 134979*T1^10*T2^8 + 
     30986*T1^11*T2^8 + 8358*T1^12*T2^8 - 4979*T1^13*T2^8 + 513*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 304*T1^2*T2^9 - 
     1091*T1^3*T2^9 - 3212*T1^4*T2^9 + 27244*T1^5*T2^9 - 61621*T1^6*T2^9 + 
     15548*T1^7*T2^9 + 159646*T1^8*T2^9 - 251150*T1^9*T2^9 + 
     93229*T1^10*T2^9 + 33712*T1^11*T2^9 - 34708*T1^12*T2^9 + 
     7269*T1^13*T2^9 + 676*T1^14*T2^9 - 488*T1^15*T2^9 - 32*T1^16*T2^9 - 
     62*T1^2*T2^10 - 56*T1^3*T2^10 + 2488*T1^4*T2^10 - 8248*T1^5*T2^10 + 
     2104*T1^6*T2^10 + 54693*T1^7*T2^10 - 134979*T1^8*T2^10 + 
     93229*T1^9*T2^10 + 74433*T1^10*T2^10 - 103583*T1^11*T2^10 + 
     35938*T1^12*T2^10 + 2230*T1^13*T2^10 - 3768*T1^14*T2^10 + 
     664*T1^15*T2^10 + 124*T1^16*T2^10 + 69*T1^3*T2^11 - 552*T1^4*T2^11 + 
     25*T1^5*T2^11 + 7898*T1^6*T2^11 - 28736*T1^7*T2^11 + 30986*T1^8*T2^11 + 
     33712*T1^9*T2^11 - 103583*T1^10*T2^11 + 52820*T1^11*T2^11 + 
     9328*T1^12*T2^11 - 16750*T1^13*T2^11 + 4663*T1^14*T2^11 + 
     24*T1^15*T2^11 - 276*T1^16*T2^11 + 552*T1^5*T2^12 - 2500*T1^6*T2^12 + 
     3572*T1^7*T2^12 + 8358*T1^8*T2^12 - 34708*T1^9*T2^12 + 
     35938*T1^10*T2^12 + 9328*T1^11*T2^12 - 26226*T1^12*T2^12 + 
     11576*T1^13*T2^12 - 48*T1^14*T2^12 - 1256*T1^15*T2^12 + 
     364*T1^16*T2^12 - 69*T1^5*T2^13 + 56*T1^6*T2^13 + 1079*T1^7*T2^13 - 
     4979*T1^8*T2^13 + 7269*T1^9*T2^13 + 2230*T1^10*T2^13 - 
     16750*T1^11*T2^13 + 11576*T1^12*T2^13 - 161*T1^13*T2^13 - 
     3106*T1^14*T2^13 + 1464*T1^15*T2^13 - 276*T1^16*T2^13 + 62*T1^6*T2^14 - 
     304*T1^7*T2^14 + 513*T1^8*T2^14 + 676*T1^9*T2^14 - 3768*T1^10*T2^14 + 
     4663*T1^11*T2^14 - 48*T1^12*T2^14 - 3106*T1^13*T2^14 + 
     2373*T1^14*T2^14 - 800*T1^15*T2^14 + 124*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 488*T1^9*T2^15 + 664*T1^10*T2^15 + 24*T1^11*T2^15 - 
     1256*T1^12*T2^15 + 1464*T1^13*T2^15 - 800*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     124*T1^10*T2^16 - 276*T1^11*T2^16 + 364*T1^12*T2^16 - 276*T1^13*T2^16 + 
     124*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 929] -> 
  {-((2 - 10*T + 25*T^2 - 41*T^3 + 47*T^4 - 41*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-39 + 196*T1 - 491*T1^2 + 805*T1^3 - 923*T1^4 + 805*T1^5 - 
      491*T1^6 + 196*T1^7 - 39*T1^8 + 196*T2 - 828*T1*T2 + 1681*T1^2*T2 - 
      2078*T1^3*T2 + 1413*T1^4*T2 - 347*T1^5*T2 - 758*T1^6*T2 + 981*T1^7*T2 - 
      588*T1^8*T2 + 156*T1^9*T2 - 491*T2^2 + 1681*T1*T2^2 - 2515*T1^2*T2^2 + 
      1658*T1^3*T2^2 + 1049*T1^4*T2^2 - 2609*T1^5*T2^2 + 3249*T1^6*T2^2 - 
      1442*T1^7*T2^2 - 215*T1^8*T2^2 + 681*T1^9*T2^2 - 291*T1^10*T2^2 + 
      805*T2^3 - 2078*T1*T2^3 + 1658*T1^2*T2^3 + 1316*T1^3*T2^3 - 
      4998*T1^4*T2^3 + 3807*T1^5*T2^3 - 1957*T1^6*T2^3 - 2520*T1^7*T2^3 + 
      3144*T1^8*T2^3 - 1492*T1^9*T2^3 - 118*T1^10*T2^3 + 313*T1^11*T2^3 - 
      923*T2^4 + 1413*T1*T2^4 + 1049*T1^2*T2^4 - 4998*T1^3*T2^4 + 
      6315*T1^4*T2^4 + 117*T1^5*T2^4 - 2897*T1^6*T2^4 + 6501*T1^7*T2^4 - 
      2185*T1^8*T2^4 - 1554*T1^9*T2^4 + 2249*T1^10*T2^4 - 707*T1^11*T2^4 - 
      171*T1^12*T2^4 + 805*T2^5 - 347*T1*T2^5 - 2609*T1^2*T2^5 + 
      3807*T1^3*T2^5 + 117*T1^4*T2^5 - 9135*T1^5*T2^5 + 6769*T1^6*T2^5 - 
      4721*T1^7*T2^5 - 4225*T1^8*T2^5 + 5602*T1^9*T2^5 - 2333*T1^10*T2^5 - 
      809*T1^11*T2^5 + 933*T1^12*T2^5 - 15*T1^13*T2^5 - 491*T2^6 - 
      758*T1*T2^6 + 3249*T1^2*T2^6 - 1957*T1^3*T2^6 - 2897*T1^4*T2^6 + 
      6769*T1^5*T2^6 + 3273*T1^6*T2^6 - 6923*T1^7*T2^6 + 11033*T1^8*T2^6 - 
      4581*T1^9*T2^6 - 1987*T1^10*T2^6 + 3243*T1^11*T2^6 - 951*T1^12*T2^6 - 
      478*T1^13*T2^6 + 109*T1^14*T2^6 + 196*T2^7 + 981*T1*T2^7 - 
      1442*T1^2*T2^7 - 2520*T1^3*T2^7 + 6501*T1^4*T2^7 - 4721*T1^5*T2^7 - 
      6923*T1^6*T2^7 + 5948*T1^7*T2^7 - 2748*T1^8*T2^7 - 4766*T1^9*T2^7 + 
      7049*T1^10*T2^7 - 2580*T1^11*T2^7 - 1134*T1^12*T2^7 + 1408*T1^13*T2^7 - 
      119*T1^14*T2^7 - 84*T1^15*T2^7 - 39*T2^8 - 588*T1*T2^8 - 
      215*T1^2*T2^8 + 3144*T1^3*T2^8 - 2185*T1^4*T2^8 - 4225*T1^5*T2^8 + 
      11033*T1^6*T2^8 - 2748*T1^7*T2^8 - 4728*T1^8*T2^8 + 7196*T1^9*T2^8 - 
      4489*T1^10*T2^8 - 2511*T1^11*T2^8 + 3599*T1^12*T2^8 - 1444*T1^13*T2^8 - 
      415*T1^14*T2^8 + 292*T1^15*T2^8 + 25*T1^16*T2^8 + 156*T1*T2^9 + 
      681*T1^2*T2^9 - 1492*T1^3*T2^9 - 1554*T1^4*T2^9 + 5602*T1^5*T2^9 - 
      4581*T1^6*T2^9 - 4766*T1^7*T2^9 + 7196*T1^8*T2^9 - 1500*T1^9*T2^9 - 
      2609*T1^10*T2^9 + 7189*T1^11*T2^9 - 3479*T1^12*T2^9 - 168*T1^13*T2^9 + 
      1358*T1^14*T2^9 - 419*T1^15*T2^9 - 124*T1^16*T2^9 - 291*T1^2*T2^10 - 
      118*T1^3*T2^10 + 2249*T1^4*T2^10 - 2333*T1^5*T2^10 - 1987*T1^6*T2^10 + 
      7049*T1^7*T2^10 - 4489*T1^8*T2^10 - 2609*T1^9*T2^10 + 
      3271*T1^10*T2^10 - 4301*T1^11*T2^10 - 1077*T1^12*T2^10 + 
      2867*T1^13*T2^10 - 1951*T1^14*T2^10 + 162*T1^15*T2^10 + 
      309*T1^16*T2^10 + 313*T1^3*T2^11 - 707*T1^4*T2^11 - 809*T1^5*T2^11 + 
      3243*T1^6*T2^11 - 2580*T1^7*T2^11 - 2511*T1^8*T2^11 + 7189*T1^9*T2^11 - 
      4301*T1^10*T2^11 + 2399*T1^11*T2^11 + 2905*T1^12*T2^11 - 
      2897*T1^13*T2^11 + 991*T1^14*T2^11 + 573*T1^15*T2^11 - 
      507*T1^16*T2^11 - 171*T1^4*T2^12 + 933*T1^5*T2^12 - 951*T1^6*T2^12 - 
      1134*T1^7*T2^12 + 3599*T1^8*T2^12 - 3479*T1^9*T2^12 - 
      1077*T1^10*T2^12 + 2905*T1^11*T2^12 - 4901*T1^12*T2^12 + 
      2310*T1^13*T2^12 + 249*T1^14*T2^12 - 1187*T1^15*T2^12 + 
      581*T1^16*T2^12 - 15*T1^5*T2^13 - 478*T1^6*T2^13 + 1408*T1^7*T2^13 - 
      1444*T1^8*T2^13 - 168*T1^9*T2^13 + 2867*T1^10*T2^13 - 
      2897*T1^11*T2^13 + 2310*T1^12*T2^13 + 384*T1^13*T2^13 - 
      1742*T1^14*T2^13 + 1482*T1^15*T2^13 - 507*T1^16*T2^13 + 
      109*T1^6*T2^14 - 119*T1^7*T2^14 - 415*T1^8*T2^14 + 1358*T1^9*T2^14 - 
      1951*T1^10*T2^14 + 991*T1^11*T2^14 + 249*T1^12*T2^14 - 
      1742*T1^13*T2^14 + 1885*T1^14*T2^14 - 1119*T1^15*T2^14 + 
      309*T1^16*T2^14 - 84*T1^7*T2^15 + 292*T1^8*T2^15 - 419*T1^9*T2^15 + 
      162*T1^10*T2^15 + 573*T1^11*T2^15 - 1187*T1^12*T2^15 + 
      1482*T1^13*T2^15 - 1119*T1^14*T2^15 + 532*T1^15*T2^15 - 
      124*T1^16*T2^15 + 25*T1^8*T2^16 - 124*T1^9*T2^16 + 309*T1^10*T2^16 - 
      507*T1^11*T2^16 + 581*T1^12*T2^16 - 507*T1^13*T2^16 + 309*T1^14*T2^16 - 
      124*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 930] -> 
  {-(((1 - T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-57 + 255*T1 - 536*T1^2 + 789*T1^3 - 873*T1^4 + 789*T1^5 - 536*T1^6 + 
      255*T1^7 - 57*T1^8 + 255*T2 - 922*T1*T2 + 1420*T1^2*T2 - 1474*T1^3*T2 + 
      880*T1^4*T2 - 182*T1^5*T2 - 628*T1^6*T2 + 916*T1^7*T2 - 724*T1^8*T2 + 
      219*T1^9*T2 - 536*T2^2 + 1420*T1*T2^2 - 1048*T1^2*T2^2 - 93*T1^3*T2^2 + 
      1784*T1^4*T2^2 - 2342*T1^5*T2^2 + 2696*T1^6*T2^2 - 1537*T1^7*T2^2 + 
      244*T1^8*T2^2 + 736*T1^9*T2^2 - 384*T1^10*T2^2 + 789*T2^3 - 
      1474*T1*T2^3 - 93*T1^2*T2^3 + 1363*T1^3*T2^3 - 2469*T1^4*T2^3 + 
      1234*T1^5*T2^3 - 959*T1^6*T2^3 - 1152*T1^7*T2^3 + 1615*T1^8*T2^3 - 
      1404*T1^9*T2^3 - 304*T1^10*T2^3 + 453*T1^11*T2^3 - 873*T2^4 + 
      880*T1*T2^4 + 1784*T1^2*T2^4 - 2469*T1^3*T2^4 + 3144*T1^4*T2^4 - 
      1218*T1^5*T2^4 + 2026*T1^6*T2^4 + 118*T1^7*T2^4 + 760*T1^8*T2^4 - 
      845*T1^9*T2^4 + 1960*T1^10*T2^4 - 344*T1^11*T2^4 - 377*T1^12*T2^4 + 
      789*T2^5 - 182*T1*T2^5 - 2342*T1^2*T2^5 + 1234*T1^3*T2^5 - 
      1218*T1^4*T2^5 - 935*T1^5*T2^5 - 1145*T1^6*T2^5 - 1034*T1^7*T2^5 - 
      1011*T1^8*T2^5 + 316*T1^9*T2^5 - 977*T1^10*T2^5 - 1193*T1^11*T2^5 + 
      664*T1^12*T2^5 + 229*T1^13*T2^5 - 536*T2^6 - 628*T1*T2^6 + 
      2696*T1^2*T2^6 - 959*T1^3*T2^6 + 2026*T1^4*T2^6 - 1145*T1^5*T2^6 + 
      4149*T1^6*T2^6 - 1257*T1^7*T2^6 + 3009*T1^8*T2^6 - 679*T1^9*T2^6 + 
      896*T1^10*T2^6 + 1207*T1^11*T2^6 + 312*T1^12*T2^6 - 664*T1^13*T2^6 - 
      80*T1^14*T2^6 + 255*T2^7 + 916*T1*T2^7 - 1537*T1^2*T2^7 - 
      1152*T1^3*T2^7 + 118*T1^4*T2^7 - 1034*T1^5*T2^7 - 1257*T1^6*T2^7 - 
      1837*T1^7*T2^7 - 591*T1^8*T2^7 - 1045*T1^9*T2^7 - 435*T1^10*T2^7 - 
      624*T1^11*T2^7 - 1241*T1^12*T2^7 + 572*T1^13*T2^7 + 340*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 724*T1*T2^8 + 244*T1^2*T2^8 + 1615*T1^3*T2^8 + 
      760*T1^4*T2^8 - 1011*T1^5*T2^8 + 3009*T1^6*T2^8 - 591*T1^7*T2^8 + 
      3000*T1^8*T2^8 - 1237*T1^9*T2^8 + 2093*T1^10*T2^8 - 617*T1^11*T2^8 + 
      1468*T1^12*T2^8 + 93*T1^13*T2^8 - 634*T1^14*T2^8 - 40*T1^15*T2^8 + 
      7*T1^16*T2^8 + 219*T1*T2^9 + 736*T1^2*T2^9 - 1404*T1^3*T2^9 - 
      845*T1^4*T2^9 + 316*T1^5*T2^9 - 679*T1^6*T2^9 - 1045*T1^7*T2^9 - 
      1237*T1^8*T2^9 + 9*T1^9*T2^9 - 833*T1^10*T2^9 - 80*T1^11*T2^9 - 
      426*T1^12*T2^9 - 934*T1^13*T2^9 + 705*T1^14*T2^9 + 160*T1^15*T2^9 - 
      33*T1^16*T2^9 - 384*T1^2*T2^10 - 304*T1^3*T2^10 + 1960*T1^4*T2^10 - 
      977*T1^5*T2^10 + 896*T1^6*T2^10 - 435*T1^7*T2^10 + 2093*T1^8*T2^10 - 
      833*T1^9*T2^10 + 953*T1^10*T2^10 + 31*T1^11*T2^10 - 234*T1^12*T2^10 + 
      1189*T1^13*T2^10 - 424*T1^14*T2^10 - 340*T1^15*T2^10 + 72*T1^16*T2^10 + 
      453*T1^3*T2^11 - 344*T1^4*T2^11 - 1193*T1^5*T2^11 + 1207*T1^6*T2^11 - 
      624*T1^7*T2^11 - 617*T1^8*T2^11 - 80*T1^9*T2^11 + 31*T1^10*T2^11 - 
      693*T1^11*T2^11 + 910*T1^12*T2^11 - 1004*T1^13*T2^11 - 44*T1^14*T2^11 + 
      502*T1^15*T2^11 - 107*T1^16*T2^11 - 377*T1^4*T2^12 + 664*T1^5*T2^12 + 
      312*T1^6*T2^12 - 1241*T1^7*T2^12 + 1468*T1^8*T2^12 - 426*T1^9*T2^12 - 
      234*T1^10*T2^12 + 910*T1^11*T2^12 - 916*T1^12*T2^12 + 383*T1^13*T2^12 + 
      488*T1^14*T2^12 - 560*T1^15*T2^12 + 119*T1^16*T2^12 + 229*T1^5*T2^13 - 
      664*T1^6*T2^13 + 572*T1^7*T2^13 + 93*T1^8*T2^13 - 934*T1^9*T2^13 + 
      1189*T1^10*T2^13 - 1004*T1^11*T2^13 + 383*T1^12*T2^13 + 
      345*T1^13*T2^13 - 739*T1^14*T2^13 + 506*T1^15*T2^13 - 107*T1^16*T2^13 - 
      80*T1^6*T2^14 + 340*T1^7*T2^14 - 634*T1^8*T2^14 + 705*T1^9*T2^14 - 
      424*T1^10*T2^14 - 44*T1^11*T2^14 + 488*T1^12*T2^14 - 739*T1^13*T2^14 + 
      658*T1^14*T2^14 - 344*T1^15*T2^14 + 72*T1^16*T2^14 + 3*T1^7*T2^15 - 
      40*T1^8*T2^15 + 160*T1^9*T2^15 - 340*T1^10*T2^15 + 502*T1^11*T2^15 - 
      560*T1^12*T2^15 + 506*T1^13*T2^15 - 344*T1^14*T2^15 + 158*T1^15*T2^15 - 
      33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 72*T1^10*T2^16 - 
      107*T1^11*T2^16 + 119*T1^12*T2^16 - 107*T1^13*T2^16 + 72*T1^14*T2^16 - 
      33*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 931] -> 
  {-(((1 - T + T^2)*(4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4))/T^3), 
   -((-336 + 1584*T1 - 3316*T1^2 + 4224*T1^3 - 3316*T1^4 + 1584*T1^5 - 
      336*T1^6 + 1584*T2 - 6192*T1*T2 + 9624*T1^2*T2 - 7328*T1^3*T2 - 
      412*T1^4*T2 + 5140*T1^5*T2 - 4444*T1^6*T2 + 1280*T1^7*T2 - 3316*T2^2 + 
      9624*T1*T2^2 - 6417*T1^2*T2^2 - 8224*T1^3*T2^2 + 23101*T1^4*T2^2 - 
      18464*T1^5*T2^2 + 5103*T1^6*T2^2 + 3544*T1^7*T2^2 - 2036*T1^8*T2^2 + 
      4224*T2^3 - 7328*T1*T2^3 - 8224*T1^2*T2^3 + 28548*T1^3*T2^3 - 
      31233*T1^4*T2^3 + 1819*T1^5*T2^3 + 17368*T1^6*T2^3 - 15224*T1^7*T2^3 + 
      1260*T1^8*T2^3 + 1776*T1^9*T2^3 - 3316*T2^4 - 412*T1*T2^4 + 
      23101*T1^2*T2^4 - 31233*T1^3*T2^4 + 9055*T1^4*T2^4 + 32187*T1^5*T2^4 - 
      29921*T1^6*T2^4 + 5895*T1^7*T2^4 + 11879*T1^8*T2^4 - 4820*T1^9*T2^4 - 
      756*T1^10*T2^4 + 1584*T2^5 + 5140*T1*T2^5 - 18464*T1^2*T2^5 + 
      1819*T1^3*T2^5 + 32187*T1^4*T2^5 - 49976*T1^5*T2^5 + 9884*T1^6*T2^5 + 
      22027*T1^7*T2^5 - 23081*T1^8*T2^5 + 1496*T1^9*T2^5 + 3240*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4444*T1*T2^6 + 5103*T1^2*T2^6 + 
      17368*T1^3*T2^6 - 29921*T1^4*T2^6 + 9884*T1^5*T2^6 + 38532*T1^6*T2^6 - 
      42356*T1^7*T2^6 + 15475*T1^8*T2^6 + 9432*T1^9*T2^6 - 5693*T1^10*T2^6 - 
      492*T1^11*T2^6 + 48*T1^12*T2^6 + 1280*T1*T2^7 + 3544*T1^2*T2^7 - 
      15224*T1^3*T2^7 + 5895*T1^4*T2^7 + 22027*T1^5*T2^7 - 42356*T1^6*T2^7 + 
      17504*T1^7*T2^7 + 11867*T1^8*T2^7 - 19005*T1^9*T2^7 + 4736*T1^10*T2^7 + 
      1644*T1^11*T2^7 - 240*T1^12*T2^7 - 2036*T1^2*T2^8 + 1260*T1^3*T2^8 + 
      11879*T1^4*T2^8 - 23081*T1^5*T2^8 + 15475*T1^6*T2^8 + 11867*T1^7*T2^8 - 
      23501*T1^8*T2^8 + 14047*T1^9*T2^8 + 657*T1^10*T2^8 - 3148*T1^11*T2^8 + 
      524*T1^12*T2^8 + 1776*T1^3*T2^9 - 4820*T1^4*T2^9 + 1496*T1^5*T2^9 + 
      9432*T1^6*T2^9 - 19005*T1^7*T2^9 + 14047*T1^8*T2^9 - 1748*T1^9*T2^9 - 
      5504*T1^10*T2^9 + 3768*T1^11*T2^9 - 672*T1^12*T2^9 - 756*T1^4*T2^10 + 
      3240*T1^5*T2^10 - 5693*T1^6*T2^10 + 4736*T1^7*T2^10 + 657*T1^8*T2^10 - 
      5504*T1^9*T2^10 + 5827*T1^10*T2^10 - 2840*T1^11*T2^10 + 
      524*T1^12*T2^10 + 64*T1^5*T2^11 - 492*T1^6*T2^11 + 1644*T1^7*T2^11 - 
      3148*T1^8*T2^11 + 3768*T1^9*T2^11 - 2840*T1^10*T2^11 + 
      1256*T1^11*T2^11 - 240*T1^12*T2^11 + 48*T1^6*T2^12 - 240*T1^7*T2^12 + 
      524*T1^8*T2^12 - 672*T1^9*T2^12 + 524*T1^10*T2^12 - 240*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 932] -> 
  {-((1 - 7*T + 24*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 24*T^6 - 7*T^7 + T^8)/
     T^4), -((-5 + 35*T1 - 120*T1^2 + 230*T1^3 - 275*T1^4 + 230*T1^5 - 
      120*T1^6 + 35*T1^7 - 5*T1^8 + 35*T2 - 217*T1*T2 + 644*T1^2*T2 - 
      938*T1^3*T2 + 637*T1^4*T2 - 70*T1^5*T2 - 448*T1^6*T2 + 427*T1^7*T2 - 
      161*T1^8*T2 + 28*T1^9*T2 - 120*T2^2 + 644*T1*T2^2 - 1577*T1^2*T2^2 + 
      1315*T1^3*T2^2 + 699*T1^4*T2^2 - 1975*T1^5*T2^2 + 2187*T1^6*T2^2 - 
      557*T1^7*T2^2 - 473*T1^8*T2^2 + 308*T1^9*T2^2 - 72*T1^10*T2^2 + 
      230*T2^3 - 938*T1*T2^3 + 1315*T1^2*T2^3 + 2078*T1^3*T2^3 - 
      6773*T1^4*T2^3 + 5454*T1^5*T2^3 - 1854*T1^6*T2^3 - 3569*T1^7*T2^3 + 
      3356*T1^8*T2^3 - 653*T1^9*T2^3 - 140*T1^10*T2^3 + 92*T1^11*T2^3 - 
      275*T2^4 + 637*T1*T2^4 + 699*T1^2*T2^4 - 6773*T1^3*T2^4 + 
      7415*T1^4*T2^4 + 5345*T1^5*T2^4 - 13535*T1^6*T2^4 + 16729*T1^7*T2^4 - 
      5821*T1^8*T2^4 - 2081*T1^9*T2^4 + 1471*T1^10*T2^4 - 259*T1^11*T2^4 - 
      55*T1^12*T2^4 + 230*T2^5 - 70*T1*T2^5 - 1975*T1^2*T2^5 + 
      5454*T1^3*T2^5 + 5345*T1^4*T2^5 - 26787*T1^5*T2^5 + 25017*T1^6*T2^5 - 
      12767*T1^7*T2^5 - 10307*T1^8*T2^5 + 12756*T1^9*T2^5 - 2854*T1^10*T2^5 - 
      514*T1^11*T2^5 + 385*T1^12*T2^5 - 120*T2^6 - 448*T1*T2^6 + 
      2187*T1^2*T2^6 - 1854*T1^3*T2^6 - 13535*T1^4*T2^6 + 25017*T1^5*T2^6 - 
      439*T1^6*T2^6 - 21843*T1^7*T2^6 + 34481*T1^8*T2^6 - 15015*T1^9*T2^6 - 
      4143*T1^10*T2^6 + 3954*T1^11*T2^6 - 733*T1^12*T2^6 - 168*T1^13*T2^6 + 
      24*T1^14*T2^6 + 35*T2^7 + 427*T1*T2^7 - 557*T1^2*T2^7 - 
      3569*T1^3*T2^7 + 16729*T1^4*T2^7 - 12767*T1^5*T2^7 - 21843*T1^6*T2^7 + 
      31505*T1^7*T2^7 - 17833*T1^8*T2^7 - 11783*T1^9*T2^7 + 
      20521*T1^10*T2^7 - 6574*T1^11*T2^7 - 821*T1^12*T2^7 + 835*T1^13*T2^7 - 
      70*T1^14*T2^7 - 14*T1^15*T2^7 - 5*T2^8 - 161*T1*T2^8 - 473*T1^2*T2^8 + 
      3356*T1^3*T2^8 - 5821*T1^4*T2^8 - 10307*T1^5*T2^8 + 34481*T1^6*T2^8 - 
      17833*T1^7*T2^8 - 13860*T1^8*T2^8 + 30209*T1^9*T2^8 - 
      19483*T1^10*T2^8 - 3153*T1^11*T2^8 + 6767*T1^12*T2^8 - 
      1852*T1^13*T2^8 - 35*T1^14*T2^8 + 77*T1^15*T2^8 + 3*T1^16*T2^8 + 
      28*T1*T2^9 + 308*T1^2*T2^9 - 653*T1^3*T2^9 - 2081*T1^4*T2^9 + 
      12756*T1^5*T2^9 - 15015*T1^6*T2^9 - 11783*T1^7*T2^9 + 30209*T1^8*T2^9 - 
      19129*T1^9*T2^9 - 1723*T1^10*T2^9 + 18273*T1^11*T2^9 - 
      10547*T1^12*T2^9 + 667*T1^13*T2^9 + 739*T1^14*T2^9 - 189*T1^15*T2^9 - 
      21*T1^16*T2^9 - 72*T1^2*T2^10 - 140*T1^3*T2^10 + 1471*T1^4*T2^10 - 
      2854*T1^5*T2^10 - 4143*T1^6*T2^10 + 20521*T1^7*T2^10 - 
      19483*T1^8*T2^10 - 1723*T1^9*T2^10 + 15437*T1^10*T2^10 - 
      19511*T1^11*T2^10 + 5249*T1^12*T2^10 + 2954*T1^13*T2^10 - 
      1449*T1^14*T2^10 + 140*T1^15*T2^10 + 72*T1^16*T2^10 + 92*T1^3*T2^11 - 
      259*T1^4*T2^11 - 514*T1^5*T2^11 + 3954*T1^6*T2^11 - 6574*T1^7*T2^11 - 
      3153*T1^8*T2^11 + 18273*T1^9*T2^11 - 19511*T1^10*T2^11 + 
      13327*T1^11*T2^11 + 837*T1^12*T2^11 - 4354*T1^13*T2^11 + 
      947*T1^14*T2^11 + 196*T1^15*T2^11 - 138*T1^16*T2^11 - 55*T1^4*T2^12 + 
      385*T1^5*T2^12 - 733*T1^6*T2^12 - 821*T1^7*T2^12 + 6767*T1^8*T2^12 - 
      10547*T1^9*T2^12 + 5249*T1^10*T2^12 + 837*T1^11*T2^12 - 
      6469*T1^12*T2^12 + 3871*T1^13*T2^12 + 39*T1^14*T2^12 - 
      511*T1^15*T2^12 + 165*T1^16*T2^12 - 168*T1^6*T2^13 + 835*T1^7*T2^13 - 
      1852*T1^8*T2^13 + 667*T1^9*T2^13 + 2954*T1^10*T2^13 - 
      4354*T1^11*T2^13 + 3871*T1^12*T2^13 - 574*T1^13*T2^13 - 
      1133*T1^14*T2^13 + 630*T1^15*T2^13 - 138*T1^16*T2^13 + 24*T1^6*T2^14 - 
      70*T1^7*T2^14 - 35*T1^8*T2^14 + 739*T1^9*T2^14 - 1449*T1^10*T2^14 + 
      947*T1^11*T2^14 + 39*T1^12*T2^14 - 1133*T1^13*T2^14 + 
      1069*T1^14*T2^14 - 406*T1^15*T2^14 + 72*T1^16*T2^14 - 14*T1^7*T2^15 + 
      77*T1^8*T2^15 - 189*T1^9*T2^15 + 140*T1^10*T2^15 + 196*T1^11*T2^15 - 
      511*T1^12*T2^15 + 630*T1^13*T2^15 - 406*T1^14*T2^15 + 133*T1^15*T2^15 - 
      21*T1^16*T2^15 + 3*T1^8*T2^16 - 21*T1^9*T2^16 + 72*T1^10*T2^16 - 
      138*T1^11*T2^16 + 165*T1^12*T2^16 - 138*T1^13*T2^16 + 72*T1^14*T2^16 - 
      21*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 933] -> 
  {-((1 - 8*T + 26*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 26*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 78*T1^2 + 147*T1^3 - 177*T1^4 + 147*T1^5 - 
      78*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 496*T1^2*T2 - 
      760*T1^3*T2 + 632*T1^4*T2 - 232*T1^5*T2 - 160*T1^6*T2 + 224*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 78*T2^2 + 496*T1*T2^2 - 1032*T1^2*T2^2 + 
      715*T1^3*T2^2 + 964*T1^4*T2^2 - 2416*T1^5*T2^2 + 2680*T1^6*T2^2 - 
      1417*T1^7*T2^2 + 268*T1^8*T2^2 + 80*T1^9*T2^2 - 26*T1^10*T2^2 + 
      147*T2^3 - 760*T1*T2^3 + 715*T1^2*T2^3 + 1873*T1^3*T2^3 - 
      6178*T1^4*T2^3 + 7070*T1^5*T2^3 - 4369*T1^6*T2^3 - 427*T1^7*T2^3 + 
      2151*T1^8*T2^3 - 1235*T1^9*T2^3 + 208*T1^10*T2^3 - 177*T2^4 + 
      632*T1*T2^4 + 964*T1^2*T2^4 - 6178*T1^3*T2^4 + 10512*T1^4*T2^4 - 
      5466*T1^5*T2^4 - 3538*T1^6*T2^4 + 10730*T1^7*T2^4 - 7944*T1^8*T2^4 + 
      1858*T1^9*T2^4 + 828*T1^10*T2^4 - 472*T1^11*T2^4 + 59*T1^12*T2^4 + 
      147*T2^5 - 232*T1*T2^5 - 2416*T1^2*T2^5 + 7070*T1^3*T2^5 - 
      5466*T1^4*T2^5 - 9113*T1^5*T2^5 + 20247*T1^6*T2^5 - 19475*T1^7*T2^5 + 
      3815*T1^8*T2^5 + 7563*T1^9*T2^5 - 6275*T1^10*T2^5 + 1268*T1^11*T2^5 + 
      312*T1^12*T2^5 - 98*T1^13*T2^5 - 78*T2^6 - 160*T1*T2^6 + 
      2680*T1^2*T2^6 - 4369*T1^3*T2^6 - 3538*T1^4*T2^6 + 20247*T1^5*T2^6 - 
      20708*T1^6*T2^6 + 2822*T1^7*T2^6 + 20148*T1^8*T2^6 - 22241*T1^9*T2^6 + 
      5534*T1^10*T2^6 + 4211*T1^11*T2^6 - 2740*T1^12*T2^6 + 160*T1^13*T2^6 + 
      78*T1^14*T2^6 + 24*T2^7 + 224*T1*T2^7 - 1417*T1^2*T2^7 - 
      427*T1^3*T2^7 + 10730*T1^4*T2^7 - 19475*T1^5*T2^7 + 2822*T1^6*T2^7 + 
      25459*T1^7*T2^7 - 34975*T1^8*T2^7 + 14117*T1^9*T2^7 + 
      14715*T1^10*T2^7 - 14967*T1^11*T2^7 + 2962*T1^12*T2^7 + 
      1625*T1^13*T2^7 - 368*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 268*T1^2*T2^8 + 2151*T1^3*T2^8 - 7944*T1^4*T2^8 + 
      3815*T1^5*T2^8 + 20148*T1^6*T2^8 - 34975*T1^7*T2^8 + 12708*T1^8*T2^8 + 
      22163*T1^9*T2^8 - 38510*T1^10*T2^8 + 13633*T1^11*T2^8 + 
      5600*T1^12*T2^8 - 5087*T1^13*T2^8 + 108*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 80*T1^2*T2^9 - 1235*T1^3*T2^9 + 
      1858*T1^4*T2^9 + 7563*T1^5*T2^9 - 22241*T1^6*T2^9 + 14117*T1^7*T2^9 + 
      22163*T1^8*T2^9 - 38271*T1^9*T2^9 + 25412*T1^10*T2^9 + 
      11949*T1^11*T2^9 - 18134*T1^12*T2^9 + 5247*T1^13*T2^9 + 
      1807*T1^14*T2^9 - 512*T1^15*T2^9 - 40*T1^16*T2^9 - 26*T1^2*T2^10 + 
      208*T1^3*T2^10 + 828*T1^4*T2^10 - 6275*T1^5*T2^10 + 5534*T1^6*T2^10 + 
      14715*T1^7*T2^10 - 38510*T1^8*T2^10 + 25412*T1^9*T2^10 + 
      2346*T1^10*T2^10 - 27773*T1^11*T2^10 + 14606*T1^12*T2^10 + 
      2305*T1^13*T2^10 - 4592*T1^14*T2^10 + 528*T1^15*T2^10 + 
      130*T1^16*T2^10 - 472*T1^4*T2^11 + 1268*T1^5*T2^11 + 4211*T1^6*T2^11 - 
      14967*T1^7*T2^11 + 13633*T1^8*T2^11 + 11949*T1^9*T2^11 - 
      27773*T1^10*T2^11 + 26561*T1^11*T2^11 - 1938*T1^12*T2^11 - 
      9134*T1^13*T2^11 + 4952*T1^14*T2^11 + 72*T1^15*T2^11 - 
      245*T1^16*T2^11 + 59*T1^4*T2^12 + 312*T1^5*T2^12 - 2740*T1^6*T2^12 + 
      2962*T1^7*T2^12 + 5600*T1^8*T2^12 - 18134*T1^9*T2^12 + 
      14606*T1^10*T2^12 - 1938*T1^11*T2^12 - 12856*T1^12*T2^12 + 
      10998*T1^13*T2^12 - 2876*T1^14*T2^12 - 792*T1^15*T2^12 + 
      295*T1^16*T2^12 - 98*T1^5*T2^13 + 160*T1^6*T2^13 + 1625*T1^7*T2^13 - 
      5087*T1^8*T2^13 + 5247*T1^9*T2^13 + 2305*T1^10*T2^13 - 
      9134*T1^11*T2^13 + 10998*T1^12*T2^13 - 4809*T1^13*T2^13 - 
      325*T1^14*T2^13 + 1128*T1^15*T2^13 - 245*T1^16*T2^13 + 78*T1^6*T2^14 - 
      368*T1^7*T2^14 + 108*T1^8*T2^14 + 1807*T1^9*T2^14 - 4592*T1^10*T2^14 + 
      4952*T1^11*T2^14 - 2876*T1^12*T2^14 - 325*T1^13*T2^14 + 
      1408*T1^14*T2^14 - 784*T1^15*T2^14 + 130*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 512*T1^9*T2^15 + 528*T1^10*T2^15 + 72*T1^11*T2^15 - 
      792*T1^12*T2^15 + 1128*T1^13*T2^15 - 784*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      130*T1^10*T2^16 - 245*T1^11*T2^16 + 295*T1^12*T2^16 - 245*T1^13*T2^16 + 
      130*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 934] -> 
  {-((2 - 10*T + 27*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 27*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 548*T1^2 + 992*T1^3 - 1193*T1^4 + 992*T1^5 - 
      548*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1915*T1^2*T2 - 
      2754*T1^3*T2 + 1983*T1^4*T2 - 177*T1^5*T2 - 1234*T1^6*T2 + 
      1175*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 548*T2^2 + 1915*T1*T2^2 - 
      3607*T1^2*T2^2 + 4013*T1^3*T2^2 - 610*T1^4*T2^2 - 2543*T1^5*T2^2 + 
      2846*T1^6*T2^2 - 199*T1^7*T2^2 - 907*T1^8*T2^2 + 835*T1^9*T2^2 - 
      332*T1^10*T2^2 + 992*T2^3 - 2754*T1*T2^3 + 4013*T1^2*T2^3 - 
      2502*T1^3*T2^3 - 4234*T1^4*T2^3 + 5390*T1^5*T2^3 - 1426*T1^6*T2^3 - 
      4000*T1^7*T2^3 + 2502*T1^8*T2^3 - 685*T1^9*T2^3 - 354*T1^10*T2^3 + 
      404*T1^11*T2^3 - 1193*T2^4 + 1983*T1*T2^4 - 610*T1^2*T2^4 - 
      4234*T1^3*T2^4 + 12098*T1^4*T2^4 - 5109*T1^5*T2^4 - 4048*T1^6*T2^4 + 
      7843*T1^7*T2^4 + 782*T1^8*T2^4 - 2862*T1^9*T2^4 + 2334*T1^10*T2^4 - 
      777*T1^11*T2^4 - 249*T1^12*T2^4 + 992*T2^5 - 177*T1*T2^5 - 
      2543*T1^2*T2^5 + 5390*T1^3*T2^5 - 5109*T1^4*T2^5 - 13809*T1^5*T2^5 + 
      18374*T1^6*T2^5 - 8120*T1^7*T2^5 - 10401*T1^8*T2^5 + 7300*T1^9*T2^5 - 
      2514*T1^10*T2^5 - 719*T1^11*T2^5 + 1183*T1^12*T2^5 + 12*T1^13*T2^5 - 
      548*T2^6 - 1234*T1*T2^6 + 2846*T1^2*T2^6 - 1426*T1^3*T2^6 - 
      4048*T1^4*T2^6 + 18374*T1^5*T2^6 - 897*T1^6*T2^6 - 22839*T1^7*T2^6 + 
      32715*T1^8*T2^6 - 10036*T1^9*T2^6 - 1322*T1^10*T2^6 + 3758*T1^11*T2^6 - 
      1634*T1^12*T2^6 - 554*T1^13*T2^6 + 100*T1^14*T2^6 + 204*T2^7 + 
      1175*T1*T2^7 - 199*T1^2*T2^7 - 4000*T1^3*T2^7 + 7843*T1^4*T2^7 - 
      8120*T1^5*T2^7 - 22839*T1^6*T2^7 + 37018*T1^7*T2^7 - 21836*T1^8*T2^7 - 
      11914*T1^9*T2^7 + 14542*T1^10*T2^7 - 6738*T1^11*T2^7 + 318*T1^12*T2^7 + 
      1583*T1^13*T2^7 - 125*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 907*T1^2*T2^8 + 2502*T1^3*T2^8 + 782*T1^4*T2^8 - 
      10401*T1^5*T2^8 + 32715*T1^6*T2^8 - 21836*T1^7*T2^8 - 10860*T1^8*T2^8 + 
      32784*T1^9*T2^8 - 16887*T1^10*T2^8 + 597*T1^11*T2^8 + 3982*T1^12*T2^8 - 
      2422*T1^13*T2^8 - 211*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 835*T1^2*T2^9 - 685*T1^3*T2^9 - 2862*T1^4*T2^9 + 
      7300*T1^5*T2^9 - 10036*T1^6*T2^9 - 11914*T1^7*T2^9 + 32784*T1^8*T2^9 - 
      26070*T1^9*T2^9 - 989*T1^10*T2^9 + 12626*T1^11*T2^9 - 7281*T1^12*T2^9 + 
      1456*T1^13*T2^9 + 1097*T1^14*T2^9 - 465*T1^15*T2^9 - 116*T1^16*T2^9 - 
      332*T1^2*T2^10 - 354*T1^3*T2^10 + 2334*T1^4*T2^10 - 2514*T1^5*T2^10 - 
      1322*T1^6*T2^10 + 14542*T1^7*T2^10 - 16887*T1^8*T2^10 - 
      989*T1^9*T2^10 + 16725*T1^10*T2^10 - 13868*T1^11*T2^10 + 
      1404*T1^12*T2^10 + 2670*T1^13*T2^10 - 2146*T1^14*T2^10 + 
      326*T1^15*T2^10 + 316*T1^16*T2^10 + 404*T1^3*T2^11 - 777*T1^4*T2^11 - 
      719*T1^5*T2^11 + 3758*T1^6*T2^11 - 6738*T1^7*T2^11 + 597*T1^8*T2^11 + 
      12626*T1^9*T2^11 - 13868*T1^10*T2^11 + 4005*T1^11*T2^11 + 
      5671*T1^12*T2^11 - 4146*T1^13*T2^11 + 1105*T1^14*T2^11 + 
      583*T1^15*T2^11 - 576*T1^16*T2^11 - 249*T1^4*T2^12 + 1183*T1^5*T2^12 - 
      1634*T1^6*T2^12 + 318*T1^7*T2^12 + 3982*T1^8*T2^12 - 7281*T1^9*T2^12 + 
      1404*T1^10*T2^12 + 5671*T1^11*T2^12 - 7334*T1^12*T2^12 + 
      1690*T1^13*T2^12 + 1310*T1^14*T2^12 - 1577*T1^15*T2^12 + 
      695*T1^16*T2^12 + 12*T1^5*T2^13 - 554*T1^6*T2^13 + 1583*T1^7*T2^13 - 
      2422*T1^8*T2^13 + 1456*T1^9*T2^13 + 2670*T1^10*T2^13 - 
      4146*T1^11*T2^13 + 1690*T1^12*T2^13 + 2582*T1^13*T2^13 - 
      3115*T1^14*T2^13 + 1846*T1^15*T2^13 - 576*T1^16*T2^13 + 
      100*T1^6*T2^14 - 125*T1^7*T2^14 - 211*T1^8*T2^14 + 1097*T1^9*T2^14 - 
      2146*T1^10*T2^14 + 1105*T1^11*T2^14 + 1310*T1^12*T2^14 - 
      3115*T1^13*T2^14 + 2489*T1^14*T2^14 - 1205*T1^15*T2^14 + 
      316*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 465*T1^9*T2^15 + 
      326*T1^10*T2^15 + 583*T1^11*T2^15 - 1577*T1^12*T2^15 + 
      1846*T1^13*T2^15 - 1205*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 316*T1^10*T2^16 - 
      576*T1^11*T2^16 + 695*T1^12*T2^16 - 576*T1^13*T2^16 + 316*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 935] -> 
  {(1 - 8*T + 29*T^2 - 59*T^3 + 75*T^4 - 59*T^5 + 29*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 236*T1^3 - 300*T1^4 + 236*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1192*T1^3*T2 + 
     984*T1^4*T2 - 88*T1^5*T2 - 488*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1887*T1^2*T2^2 + 1749*T1^3*T2^2 + 
     928*T1^4*T2^2 - 4109*T1^5*T2^2 + 3596*T1^6*T2^2 - 1209*T1^7*T2^2 - 
     263*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 236*T2^3 - 
     1192*T1*T2^3 + 1749*T1^2*T2^3 + 2549*T1^3*T2^3 - 10307*T1^4*T2^3 + 
     12558*T1^5*T2^3 - 2954*T1^6*T2^3 - 4582*T1^7*T2^3 + 4585*T1^8*T2^3 - 
     1296*T1^9*T2^3 - 8*T1^10*T2^3 + 59*T1^11*T2^3 - 300*T2^4 + 984*T1*T2^4 + 
     928*T1^2*T2^4 - 10307*T1^3*T2^4 + 16169*T1^4*T2^4 - 3280*T1^5*T2^4 - 
     22841*T1^6*T2^4 + 24844*T1^7*T2^4 - 9775*T1^8*T2^4 - 1575*T1^9*T2^4 + 
     2076*T1^10*T2^4 - 472*T1^11*T2^4 + 236*T2^5 - 88*T1*T2^5 - 
     4109*T1^2*T2^5 + 12558*T1^3*T2^5 - 3280*T1^4*T2^5 - 31042*T1^5*T2^5 + 
     56404*T1^6*T2^5 - 25385*T1^7*T2^5 - 12174*T1^8*T2^5 + 19288*T1^9*T2^5 - 
     6838*T1^10*T2^5 + 25*T1^11*T2^5 + 472*T1^12*T2^5 - 59*T1^13*T2^5 - 
     116*T2^6 - 488*T1*T2^6 + 3596*T1^2*T2^6 - 2954*T1^3*T2^6 - 
     22841*T1^4*T2^6 + 56404*T1^5*T2^6 - 42938*T1^6*T2^6 - 31976*T1^7*T2^6 + 
     65746*T1^8*T2^6 - 36000*T1^9*T2^6 + 617*T1^10*T2^6 + 6732*T1^11*T2^6 - 
     2112*T1^12*T2^6 + 8*T1^13*T2^6 + 58*T1^14*T2^6 + 32*T2^7 + 440*T1*T2^7 - 
     1209*T1^2*T2^7 - 4582*T1^3*T2^7 + 24844*T1^4*T2^7 - 25385*T1^5*T2^7 - 
     31976*T1^6*T2^7 + 103164*T1^7*T2^7 - 80498*T1^8*T2^7 - 639*T1^9*T2^7 + 
     35174*T1^10*T2^7 - 19948*T1^11*T2^7 + 1721*T1^12*T2^7 + 
     1314*T1^13*T2^7 - 272*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 - 263*T1^2*T2^8 + 4585*T1^3*T2^8 - 9775*T1^4*T2^8 - 
     12174*T1^5*T2^8 + 65746*T1^6*T2^8 - 80498*T1^7*T2^8 + 3072*T1^8*T2^8 + 
     78878*T1^9*T2^8 - 62804*T1^10*T2^8 + 12614*T1^11*T2^8 + 
     10029*T1^12*T2^8 - 4701*T1^13*T2^8 + 261*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 1296*T1^3*T2^9 - 
     1575*T1^4*T2^9 + 19288*T1^5*T2^9 - 36000*T1^6*T2^9 - 639*T1^7*T2^9 + 
     78878*T1^8*T2^9 - 104784*T1^9*T2^9 + 30698*T1^10*T2^9 + 
     24559*T1^11*T2^9 - 25504*T1^12*T2^9 + 4728*T1^13*T2^9 + 
     1227*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     8*T1^3*T2^10 + 2076*T1^4*T2^10 - 6838*T1^5*T2^10 + 617*T1^6*T2^10 + 
     35174*T1^7*T2^10 - 62804*T1^8*T2^10 + 30698*T1^9*T2^10 + 
     45880*T1^10*T2^10 - 57230*T1^11*T2^10 + 24075*T1^12*T2^10 + 
     2848*T1^13*T2^10 - 3632*T1^14*T2^10 + 488*T1^15*T2^10 + 
     116*T1^16*T2^10 + 59*T1^3*T2^11 - 472*T1^4*T2^11 + 25*T1^5*T2^11 + 
     6732*T1^6*T2^11 - 19948*T1^7*T2^11 + 12614*T1^8*T2^11 + 
     24559*T1^9*T2^11 - 57230*T1^10*T2^11 + 31482*T1^11*T2^11 + 
     2620*T1^12*T2^11 - 12664*T1^13*T2^11 + 4159*T1^14*T2^11 + 
     88*T1^15*T2^11 - 236*T1^16*T2^11 + 472*T1^5*T2^12 - 2112*T1^6*T2^12 + 
     1721*T1^7*T2^12 + 10029*T1^8*T2^12 - 25504*T1^9*T2^12 + 
     24075*T1^10*T2^12 + 2620*T1^11*T2^12 - 15915*T1^12*T2^12 + 
     10453*T1^13*T2^12 - 964*T1^14*T2^12 - 984*T1^15*T2^12 + 
     300*T1^16*T2^12 - 59*T1^5*T2^13 + 8*T1^6*T2^13 + 1314*T1^7*T2^13 - 
     4701*T1^8*T2^13 + 4728*T1^9*T2^13 + 2848*T1^10*T2^13 - 
     12664*T1^11*T2^13 + 10453*T1^12*T2^13 - 2665*T1^13*T2^13 - 
     1731*T1^14*T2^13 + 1192*T1^15*T2^13 - 236*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 261*T1^8*T2^14 + 1227*T1^9*T2^14 - 3632*T1^10*T2^14 + 
     4159*T1^11*T2^14 - 964*T1^12*T2^14 - 1731*T1^13*T2^14 + 
     1885*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 488*T1^10*T2^15 + 88*T1^11*T2^15 - 
     984*T1^12*T2^15 + 1192*T1^13*T2^15 - 736*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 116*T1^10*T2^16 - 
     236*T1^11*T2^16 + 300*T1^12*T2^16 - 236*T1^13*T2^16 + 116*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 936] -> 
  {-((4 - 20*T + 46*T^2 - 61*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-192 + 968*T1 - 2236*T1^2 + 2968*T1^3 - 2236*T1^4 + 968*T1^5 - 
      192*T1^6 + 968*T2 - 4224*T1*T2 + 7976*T1^2*T2 - 7364*T1^3*T2 + 
      1196*T1^4*T2 + 2696*T1^5*T2 - 2304*T1^6*T2 + 648*T1^7*T2 - 2236*T2^2 + 
      7976*T1*T2^2 - 10190*T1^2*T2^2 + 76*T1^3*T2^2 + 15848*T1^4*T2^2 - 
      15012*T1^5*T2^2 + 5266*T1^6*T2^2 + 616*T1^7*T2^2 - 764*T1^8*T2^2 + 
      2968*T2^3 - 7364*T1*T2^3 + 76*T1^2*T2^3 + 23022*T1^3*T2^3 - 
      37210*T1^4*T2^3 + 12918*T1^5*T2^3 + 9882*T1^6*T2^3 - 11516*T1^7*T2^3 + 
      3596*T1^8*T2^3 + 40*T1^9*T2^3 - 2236*T2^4 + 1196*T1*T2^4 + 
      15848*T1^2*T2^4 - 37210*T1^3*T2^4 + 25241*T1^4*T2^4 + 27847*T1^5*T2^4 - 
      43887*T1^6*T2^4 + 20374*T1^7*T2^4 + 904*T1^8*T2^4 - 3764*T1^9*T2^4 + 
      708*T1^10*T2^4 + 968*T2^5 + 2696*T1*T2^5 - 15012*T1^2*T2^5 + 
      12918*T1^3*T2^5 + 27847*T1^4*T2^5 - 75938*T1^5*T2^5 + 51744*T1^6*T2^5 + 
      3651*T1^7*T2^5 - 22298*T1^8*T2^5 + 10564*T1^9*T2^5 - 344*T1^10*T2^5 - 
      632*T1^11*T2^5 - 192*T2^6 - 2304*T1*T2^6 + 5266*T1^2*T2^6 + 
      9882*T1^3*T2^6 - 43887*T1^4*T2^6 + 51744*T1^5*T2^6 + 5328*T1^6*T2^6 - 
      56488*T1^7*T2^6 + 40673*T1^8*T2^6 - 7014*T1^9*T2^6 - 5390*T1^10*T2^6 + 
      2176*T1^11*T2^6 + 192*T1^12*T2^6 + 648*T1*T2^7 + 616*T1^2*T2^7 - 
      11516*T1^3*T2^7 + 20374*T1^4*T2^7 + 3651*T1^5*T2^7 - 56488*T1^6*T2^7 + 
      71194*T1^7*T2^7 - 20545*T1^8*T2^7 - 14842*T1^9*T2^7 + 
      14060*T1^10*T2^7 - 2424*T1^11*T2^7 - 952*T1^12*T2^7 - 764*T1^2*T2^8 + 
      3596*T1^3*T2^8 + 904*T1^4*T2^8 - 22298*T1^5*T2^8 + 40673*T1^6*T2^8 - 
      20545*T1^7*T2^8 - 28455*T1^8*T2^8 + 35286*T1^9*T2^8 - 
      14040*T1^10*T2^8 - 1364*T1^11*T2^8 + 2180*T1^12*T2^8 + 40*T1^3*T2^9 - 
      3764*T1^4*T2^9 + 10564*T1^5*T2^9 - 7014*T1^6*T2^9 - 14842*T1^7*T2^9 + 
      35286*T1^8*T2^9 - 20154*T1^9*T2^9 - 1028*T1^10*T2^9 + 7196*T1^11*T2^9 - 
      2888*T1^12*T2^9 + 708*T1^4*T2^10 - 344*T1^5*T2^10 - 5390*T1^6*T2^10 + 
      14060*T1^7*T2^10 - 14040*T1^8*T2^10 - 1028*T1^9*T2^10 + 
      10066*T1^10*T2^10 - 7704*T1^11*T2^10 + 2180*T1^12*T2^10 - 
      632*T1^5*T2^11 + 2176*T1^6*T2^11 - 2424*T1^7*T2^11 - 1364*T1^8*T2^11 + 
      7196*T1^9*T2^11 - 7704*T1^10*T2^11 + 4096*T1^11*T2^11 - 
      952*T1^12*T2^11 + 192*T1^6*T2^12 - 952*T1^7*T2^12 + 2180*T1^8*T2^12 - 
      2888*T1^9*T2^12 + 2180*T1^10*T2^12 - 952*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 937] -> 
  {-((2 - 7*T + 11*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 11*T^6 - 7*T^7 + 2*T^8)/
     T^4), -((-57 + 199*T1 - 312*T1^2 + 369*T1^3 - 369*T1^4 + 369*T1^5 - 
      312*T1^6 + 199*T1^7 - 57*T1^8 + 199*T2 - 524*T1*T2 + 493*T1^2*T2 - 
      353*T1^3*T2 + 182*T1^4*T2 - 182*T1^5*T2 - 17*T1^6*T2 + 241*T1^7*T2 - 
      398*T1^8*T2 + 171*T1^9*T2 - 312*T2^2 + 493*T1*T2^2 + 159*T1^2*T2^2 - 
      498*T1^3*T2^2 + 663*T1^4*T2^2 - 447*T1^5*T2^2 + 751*T1^6*T2^2 - 
      762*T1^7*T2^2 + 555*T1^8*T2^2 + 185*T1^9*T2^2 - 224*T1^10*T2^2 + 
      369*T2^3 - 353*T1*T2^3 - 498*T1^2*T2^3 + 309*T1^3*T2^3 - 
      187*T1^4*T2^3 - 198*T1^5*T2^3 - 328*T1^6*T2^3 + 101*T1^7*T2^3 + 
      93*T1^8*T2^3 - 663*T1^9*T2^3 + 39*T1^10*T2^3 + 213*T1^11*T2^3 - 
      369*T2^4 + 182*T1*T2^4 + 663*T1^2*T2^4 - 187*T1^3*T2^4 + 
      379*T1^4*T2^4 - 222*T1^5*T2^4 + 967*T1^6*T2^4 - 482*T1^7*T2^4 + 
      431*T1^8*T2^4 + 99*T1^9*T2^4 + 533*T1^10*T2^4 - 182*T1^11*T2^4 - 
      161*T1^12*T2^4 + 369*T2^5 - 182*T1*T2^5 - 447*T1^2*T2^5 - 
      198*T1^3*T2^5 - 222*T1^4*T2^5 - 24*T1^5*T2^5 - 582*T1^6*T2^5 - 
      88*T1^7*T2^5 - 102*T1^8*T2^5 - 391*T1^9*T2^5 - 224*T1^10*T2^5 - 
      252*T1^11*T2^5 + 182*T1^12*T2^5 + 109*T1^13*T2^5 - 312*T2^6 - 
      17*T1*T2^6 + 751*T1^2*T2^6 - 328*T1^3*T2^6 + 967*T1^4*T2^6 - 
      582*T1^5*T2^6 + 1038*T1^6*T2^6 - 360*T1^7*T2^6 + 614*T1^8*T2^6 - 
      10*T1^9*T2^6 + 525*T1^10*T2^6 - 42*T1^11*T2^6 + 227*T1^12*T2^6 - 
      213*T1^13*T2^6 - 48*T1^14*T2^6 + 199*T2^7 + 241*T1*T2^7 - 
      762*T1^2*T2^7 + 101*T1^3*T2^7 - 482*T1^4*T2^7 - 88*T1^5*T2^7 - 
      360*T1^6*T2^7 - 95*T1^7*T2^7 - 241*T1^8*T2^7 - 187*T1^9*T2^7 - 
      426*T1^10*T2^7 + 51*T1^11*T2^7 - 195*T1^12*T2^7 - 3*T1^13*T2^7 + 
      157*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 398*T1*T2^8 + 555*T1^2*T2^8 + 
      93*T1^3*T2^8 + 431*T1^4*T2^8 - 102*T1^5*T2^8 + 614*T1^6*T2^8 - 
      241*T1^7*T2^8 + 420*T1^8*T2^8 - 47*T1^9*T2^8 + 440*T1^10*T2^8 + 
      54*T1^11*T2^8 - 17*T1^12*T2^8 + 199*T1^13*T2^8 - 183*T1^14*T2^8 - 
      34*T1^15*T2^8 + 7*T1^16*T2^8 + 171*T1*T2^9 + 185*T1^2*T2^9 - 
      663*T1^3*T2^9 + 99*T1^4*T2^9 - 391*T1^5*T2^9 - 10*T1^6*T2^9 - 
      187*T1^7*T2^9 - 47*T1^8*T2^9 - 193*T1^9*T2^9 - 14*T1^10*T2^9 - 
      348*T1^11*T2^9 + 142*T1^12*T2^9 - 197*T1^13*T2^9 + 96*T1^14*T2^9 + 
      101*T1^15*T2^9 - 25*T1^16*T2^9 - 224*T1^2*T2^10 + 39*T1^3*T2^10 + 
      533*T1^4*T2^10 - 224*T1^5*T2^10 + 525*T1^6*T2^10 - 426*T1^7*T2^10 + 
      440*T1^8*T2^10 - 14*T1^9*T2^10 + 16*T1^10*T2^10 + 146*T1^11*T2^10 + 
      83*T1^12*T2^10 + 62*T1^13*T2^10 + 9*T1^14*T2^10 - 157*T1^15*T2^10 + 
      40*T1^16*T2^10 + 213*T1^3*T2^11 - 182*T1^4*T2^11 - 252*T1^5*T2^11 - 
      42*T1^6*T2^11 + 51*T1^7*T2^11 + 54*T1^8*T2^11 - 348*T1^9*T2^11 + 
      146*T1^10*T2^11 - 24*T1^11*T2^11 - 118*T1^12*T2^11 - 68*T1^13*T2^11 - 
      57*T1^14*T2^11 + 182*T1^15*T2^11 - 47*T1^16*T2^11 - 161*T1^4*T2^12 + 
      182*T1^5*T2^12 + 227*T1^6*T2^12 - 195*T1^7*T2^12 - 17*T1^8*T2^12 + 
      142*T1^9*T2^12 + 83*T1^10*T2^12 - 118*T1^11*T2^12 + 35*T1^12*T2^12 + 
      91*T1^13*T2^12 + 97*T1^14*T2^12 - 182*T1^15*T2^12 + 47*T1^16*T2^12 + 
      109*T1^5*T2^13 - 213*T1^6*T2^13 - 3*T1^7*T2^13 + 199*T1^8*T2^13 - 
      197*T1^9*T2^13 + 62*T1^10*T2^13 - 68*T1^11*T2^13 + 91*T1^12*T2^13 - 
      17*T1^13*T2^13 - 168*T1^14*T2^13 + 179*T1^15*T2^13 - 47*T1^16*T2^13 - 
      48*T1^6*T2^14 + 157*T1^7*T2^14 - 183*T1^8*T2^14 + 96*T1^9*T2^14 + 
      9*T1^10*T2^14 - 57*T1^11*T2^14 + 97*T1^12*T2^14 - 168*T1^13*T2^14 + 
      213*T1^14*T2^14 - 151*T1^15*T2^14 + 40*T1^16*T2^14 + 3*T1^7*T2^15 - 
      34*T1^8*T2^15 + 101*T1^9*T2^15 - 157*T1^10*T2^15 + 182*T1^11*T2^15 - 
      182*T1^12*T2^15 + 179*T1^13*T2^15 - 151*T1^14*T2^15 + 92*T1^15*T2^15 - 
      25*T1^16*T2^15 + 7*T1^8*T2^16 - 25*T1^9*T2^16 + 40*T1^10*T2^16 - 
      47*T1^11*T2^16 + 47*T1^12*T2^16 - 47*T1^13*T2^16 + 40*T1^14*T2^16 - 
      25*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 938] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   -((-336 + 1336*T1 - 2408*T1^2 + 2904*T1^3 - 2408*T1^4 + 1336*T1^5 - 
      336*T1^6 + 1336*T2 - 4236*T1*T2 + 5296*T1^2*T2 - 3832*T1^3*T2 + 
      264*T1^4*T2 + 2416*T1^5*T2 - 2956*T1^6*T2 + 1080*T1^7*T2 - 2408*T2^2 + 
      5296*T1*T2^2 - 1650*T1^2*T2^2 - 4282*T1^3*T2^2 + 9570*T1^4*T2^2 - 
      8690*T1^5*T2^2 + 4150*T1^6*T2^2 + 1584*T1^7*T2^2 - 1480*T1^8*T2^2 + 
      2904*T2^3 - 3832*T1*T2^3 - 4282*T1^2*T2^3 + 8952*T1^3*T2^3 - 
      9208*T1^4*T2^3 + 1588*T1^5*T2^3 + 4452*T1^6*T2^3 - 7182*T1^7*T2^3 + 
      1032*T1^8*T2^3 + 1224*T1^9*T2^3 - 2408*T2^4 + 264*T1*T2^4 + 
      9570*T1^2*T2^4 - 9208*T1^3*T2^4 + 4693*T1^4*T2^4 + 4103*T1^5*T2^4 - 
      4987*T1^6*T2^4 + 2552*T1^7*T2^4 + 5106*T1^8*T2^4 - 2680*T1^9*T2^4 - 
      552*T1^10*T2^4 + 1336*T2^5 + 2416*T1*T2^5 - 8690*T1^2*T2^5 + 
      1588*T1^3*T2^5 + 4103*T1^4*T2^5 - 7549*T1^5*T2^5 + 1171*T1^6*T2^5 + 
      3436*T1^7*T2^5 - 7280*T1^8*T2^5 + 242*T1^9*T2^5 + 1968*T1^10*T2^5 + 
      56*T1^11*T2^5 - 336*T2^6 - 2956*T1*T2^6 + 4150*T1^2*T2^6 + 
      4452*T1^3*T2^6 - 4987*T1^4*T2^6 + 1171*T1^5*T2^6 + 6612*T1^6*T2^6 - 
      6723*T1^7*T2^6 + 4007*T1^8*T2^6 + 3876*T1^9*T2^6 - 2722*T1^10*T2^6 - 
      396*T1^11*T2^6 + 48*T1^12*T2^6 + 1080*T1*T2^7 + 1584*T1^2*T2^7 - 
      7182*T1^3*T2^7 + 2552*T1^4*T2^7 + 3436*T1^5*T2^7 - 6723*T1^6*T2^7 + 
      1997*T1^7*T2^7 + 2769*T1^8*T2^7 - 6316*T1^9*T2^7 + 1750*T1^10*T2^7 + 
      1136*T1^11*T2^7 - 200*T1^12*T2^7 - 1480*T1^2*T2^8 + 1032*T1^3*T2^8 + 
      5106*T1^4*T2^8 - 7280*T1^5*T2^8 + 4007*T1^6*T2^8 + 2769*T1^7*T2^8 - 
      5673*T1^8*T2^8 + 4480*T1^9*T2^8 + 642*T1^10*T2^8 - 1912*T1^11*T2^8 + 
      376*T1^12*T2^8 + 1224*T1^3*T2^9 - 2680*T1^4*T2^9 + 242*T1^5*T2^9 + 
      3876*T1^6*T2^9 - 6316*T1^7*T2^9 + 4480*T1^8*T2^9 - 624*T1^9*T2^9 - 
      2658*T1^10*T2^9 + 2184*T1^11*T2^9 - 456*T1^12*T2^9 - 552*T1^4*T2^10 + 
      1968*T1^5*T2^10 - 2722*T1^6*T2^10 + 1750*T1^7*T2^10 + 642*T1^8*T2^10 - 
      2658*T1^9*T2^10 + 3078*T1^10*T2^10 - 1744*T1^11*T2^10 + 
      376*T1^12*T2^10 + 56*T1^5*T2^11 - 396*T1^6*T2^11 + 1136*T1^7*T2^11 - 
      1912*T1^8*T2^11 + 2184*T1^9*T2^11 - 1744*T1^10*T2^11 + 
      884*T1^11*T2^11 - 200*T1^12*T2^11 + 48*T1^6*T2^12 - 200*T1^7*T2^12 + 
      376*T1^8*T2^12 - 456*T1^9*T2^12 + 376*T1^10*T2^12 - 200*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 939] -> 
  {-((10 - 40*T + 59*T^2 - 40*T^3 + 10*T^4)/T^2), 
   -((-3035 + 12030*T1 - 17667*T1^2 + 12030*T1^3 - 3035*T1^4 + 12030*T2 - 
      39676*T1*T2 + 38388*T1^2*T2 - 1212*T1^3*T2 - 19676*T1^4*T2 + 
      8030*T1^5*T2 - 17667*T2^2 + 38388*T1*T2^2 + 16280*T1^2*T2^2 - 
      90658*T1^3*T2^2 + 74100*T1^4*T2^2 - 8812*T1^5*T2^2 - 5867*T1^6*T2^2 + 
      12030*T2^3 - 1212*T1*T2^3 - 90658*T1^2*T2^3 + 132652*T1^3*T2^3 - 
      40988*T1^4*T2^3 - 43458*T1^5*T2^3 + 23188*T1^6*T2^3 + 30*T1^7*T2^3 - 
      3035*T2^4 - 19676*T1*T2^4 + 74100*T1^2*T2^4 - 40988*T1^3*T2^4 - 
      70272*T1^4*T2^4 + 99812*T1^5*T2^4 - 30300*T1^6*T2^4 - 3676*T1^7*T2^4 + 
      965*T1^8*T2^4 + 8030*T1*T2^5 - 8812*T1^2*T2^5 - 43458*T1^3*T2^5 + 
      99812*T1^4*T2^5 - 73828*T1^5*T2^5 + 3742*T1^6*T2^5 + 15588*T1^7*T2^5 - 
      3970*T1^8*T2^5 - 5867*T1^2*T2^6 + 23188*T1^3*T2^6 - 30300*T1^4*T2^6 + 
      3742*T1^5*T2^6 + 27520*T1^6*T2^6 - 24012*T1^7*T2^6 + 5933*T1^8*T2^6 + 
      30*T1^3*T2^7 - 3676*T1^4*T2^7 + 15588*T1^5*T2^7 - 24012*T1^6*T2^7 + 
      16324*T1^7*T2^7 - 3970*T1^8*T2^7 + 965*T1^4*T2^8 - 3970*T1^5*T2^8 + 
      5933*T1^6*T2^8 - 3970*T1^7*T2^8 + 965*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 940] -> 
  {-((2 - 13*T + 39*T^2 - 57*T^3 + 39*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 163*T1 - 490*T1^2 + 717*T1^3 - 490*T1^4 + 163*T1^5 - 25*T1^6 + 
      163*T2 - 952*T1*T2 + 2471*T1^2*T2 - 2495*T1^3*T2 + T1^4*T2 + 
      1119*T1^5*T2 - 562*T1^6*T2 + 111*T1^7*T2 - 490*T2^2 + 2471*T1*T2^2 - 
      5066*T1^2*T2^2 + 955*T1^3*T2^2 + 7836*T1^4*T2^2 - 5909*T1^5*T2^2 + 
      706*T1^6*T2^2 + 443*T1^7*T2^2 - 178*T1^8*T2^2 + 717*T2^3 - 
      2495*T1*T2^3 + 955*T1^2*T2^3 + 15143*T1^3*T2^3 - 26404*T1^4*T2^3 + 
      4484*T1^5*T2^3 + 8957*T1^6*T2^3 - 4778*T1^7*T2^3 + 937*T1^8*T2^3 + 
      33*T1^9*T2^3 - 490*T2^4 + T1*T2^4 + 7836*T1^2*T2^4 - 26404*T1^3*T2^4 + 
      12523*T1^4*T2^4 + 42201*T1^5*T2^4 - 41141*T1^6*T2^4 + 10646*T1^7*T2^4 + 
      738*T1^8*T2^4 - 1091*T1^9*T2^4 + 134*T1^10*T2^4 + 163*T2^5 + 
      1119*T1*T2^5 - 5909*T1^2*T2^5 + 4484*T1^3*T2^5 + 42201*T1^4*T2^5 - 
      92880*T1^5*T2^5 + 43386*T1^6*T2^5 + 11274*T1^7*T2^5 - 14080*T1^8*T2^5 + 
      4348*T1^9*T2^5 - 233*T1^10*T2^5 - 97*T1^11*T2^5 - 25*T2^6 - 
      562*T1*T2^6 + 706*T1^2*T2^6 + 8957*T1^3*T2^6 - 41141*T1^4*T2^6 + 
      43386*T1^5*T2^6 + 31092*T1^6*T2^6 - 65762*T1^7*T2^6 + 33817*T1^8*T2^6 - 
      5593*T1^9*T2^6 - 1062*T1^10*T2^6 + 478*T1^11*T2^6 + 23*T1^12*T2^6 + 
      111*T1*T2^7 + 443*T1^2*T2^7 - 4778*T1^3*T2^7 + 10646*T1^4*T2^7 + 
      11274*T1^5*T2^7 - 65762*T1^6*T2^7 + 70504*T1^7*T2^7 - 19653*T1^8*T2^7 - 
      7918*T1^9*T2^7 + 5479*T1^10*T2^7 - 909*T1^11*T2^7 - 149*T1^12*T2^7 - 
      178*T1^2*T2^8 + 937*T1^3*T2^8 + 738*T1^4*T2^8 - 14080*T1^5*T2^8 + 
      33817*T1^6*T2^8 - 19653*T1^7*T2^8 - 19847*T1^8*T2^8 + 22970*T1^9*T2^8 - 
      6360*T1^10*T2^8 - 155*T1^11*T2^8 + 446*T1^12*T2^8 + 33*T1^3*T2^9 - 
      1091*T1^4*T2^9 + 4348*T1^5*T2^9 - 5593*T1^6*T2^9 - 7918*T1^7*T2^9 + 
      22970*T1^8*T2^9 - 11779*T1^9*T2^9 - 1385*T1^10*T2^9 + 2341*T1^11*T2^9 - 
      651*T1^12*T2^9 + 134*T1^4*T2^10 - 233*T1^5*T2^10 - 1062*T1^6*T2^10 + 
      5479*T1^7*T2^10 - 6360*T1^8*T2^10 - 1385*T1^9*T2^10 + 
      4710*T1^10*T2^10 - 2261*T1^11*T2^10 + 446*T1^12*T2^10 - 97*T1^5*T2^11 + 
      478*T1^6*T2^11 - 909*T1^7*T2^11 - 155*T1^8*T2^11 + 2341*T1^9*T2^11 - 
      2261*T1^10*T2^11 + 868*T1^11*T2^11 - 149*T1^12*T2^11 + 23*T1^6*T2^12 - 
      149*T1^7*T2^12 + 446*T1^8*T2^12 - 651*T1^9*T2^12 + 446*T1^10*T2^12 - 
      149*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 941] -> 
  {-(((1 - T + T^2)^2*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -((-41 + 164*T1 - 348*T1^2 + 532*T1^3 - 593*T1^4 + 532*T1^5 - 348*T1^6 + 
      164*T1^7 - 41*T1^8 + 164*T2 - 524*T1*T2 + 864*T1^2*T2 - 1008*T1^3*T2 + 
      660*T1^4*T2 - 220*T1^5*T2 - 320*T1^6*T2 + 464*T1^7*T2 - 364*T1^8*T2 + 
      132*T1^9*T2 - 348*T2^2 + 864*T1*T2^2 - 1056*T1^2*T2^2 + 883*T1^3*T2^2 + 
      49*T1^4*T2^2 - 426*T1^5*T2^2 + 865*T1^6*T2^2 - 341*T1^7*T2^2 - 
      36*T1^8*T2^2 + 320*T1^9*T2^2 - 212*T1^10*T2^2 + 532*T2^3 - 
      1008*T1*T2^3 + 883*T1^2*T2^3 - 542*T1^3*T2^3 - 652*T1^4*T2^3 + 
      261*T1^5*T2^3 - 511*T1^6*T2^3 - 576*T1^7*T2^3 + 426*T1^8*T2^3 - 
      409*T1^9*T2^3 - 32*T1^10*T2^3 + 220*T1^11*T2^3 - 593*T2^4 + 
      660*T1*T2^4 + 49*T1^2*T2^4 - 652*T1^3*T2^4 + 2057*T1^4*T2^4 - 
      787*T1^5*T2^4 + 1287*T1^6*T2^4 + 29*T1^7*T2^4 + 833*T1^8*T2^4 - 
      444*T1^9*T2^4 + 665*T1^10*T2^4 - 364*T1^11*T2^4 - 129*T1^12*T2^4 + 
      532*T2^5 - 220*T1*T2^5 - 426*T1^2*T2^5 + 261*T1^3*T2^5 - 
      787*T1^4*T2^5 - 1470*T1^5*T2^5 + 74*T1^6*T2^5 - 808*T1^7*T2^5 - 
      936*T1^8*T2^5 + 111*T1^9*T2^5 - 391*T1^10*T2^5 - 162*T1^11*T2^5 + 
      468*T1^12*T2^5 + 12*T1^13*T2^5 - 348*T2^6 - 320*T1*T2^6 + 
      865*T1^2*T2^6 - 511*T1^3*T2^6 + 1287*T1^4*T2^6 + 74*T1^5*T2^6 + 
      2810*T1^6*T2^6 - 2056*T1^7*T2^6 + 2726*T1^8*T2^6 - 514*T1^9*T2^6 + 
      361*T1^10*T2^6 + 441*T1^11*T2^6 - 351*T1^12*T2^6 - 288*T1^13*T2^6 + 
      60*T1^14*T2^6 + 164*T2^7 + 464*T1*T2^7 - 341*T1^2*T2^7 - 
      576*T1^3*T2^7 + 29*T1^4*T2^7 - 808*T1^5*T2^7 - 2056*T1^6*T2^7 + 
      380*T1^7*T2^7 + 48*T1^8*T2^7 - 1560*T1^9*T2^7 + 662*T1^10*T2^7 - 
      541*T1^11*T2^7 - 124*T1^12*T2^7 + 543*T1^13*T2^7 - 60*T1^15*T2^7 - 
      41*T2^8 - 364*T1*T2^8 - 36*T1^2*T2^8 + 426*T1^3*T2^8 + 833*T1^4*T2^8 - 
      936*T1^5*T2^8 + 2726*T1^6*T2^8 + 48*T1^7*T2^8 - 948*T1^8*T2^8 + 
      968*T1^9*T2^8 + 162*T1^10*T2^8 - 408*T1^11*T2^8 + 613*T1^12*T2^8 - 
      422*T1^13*T2^8 - 252*T1^14*T2^8 + 148*T1^15*T2^8 + 23*T1^16*T2^8 + 
      132*T1*T2^9 + 320*T1^2*T2^9 - 409*T1^3*T2^9 - 444*T1^4*T2^9 + 
      111*T1^5*T2^9 - 514*T1^6*T2^9 - 1560*T1^7*T2^9 + 968*T1^8*T2^9 + 
      636*T1^9*T2^9 - 1064*T1^10*T2^9 + 956*T1^11*T2^9 - 459*T1^12*T2^9 + 
      8*T1^13*T2^9 + 475*T1^14*T2^9 - 144*T1^15*T2^9 - 92*T1^16*T2^9 - 
      212*T1^2*T2^10 - 32*T1^3*T2^10 + 665*T1^4*T2^10 - 391*T1^5*T2^10 + 
      361*T1^6*T2^10 + 662*T1^7*T2^10 + 162*T1^8*T2^10 - 1064*T1^9*T2^10 + 
      78*T1^10*T2^10 + 74*T1^11*T2^10 - 565*T1^12*T2^10 + 561*T1^13*T2^10 - 
      551*T1^14*T2^10 + 196*T1^16*T2^10 + 220*T1^3*T2^11 - 364*T1^4*T2^11 - 
      162*T1^5*T2^11 + 441*T1^6*T2^11 - 541*T1^7*T2^11 - 408*T1^8*T2^11 + 
      956*T1^9*T2^11 + 74*T1^10*T2^11 + 126*T1^11*T2^11 + 357*T1^12*T2^11 - 
      211*T1^13*T2^11 + 102*T1^14*T2^11 + 324*T1^15*T2^11 - 300*T1^16*T2^11 - 
      129*T1^4*T2^12 + 468*T1^5*T2^12 - 351*T1^6*T2^12 - 124*T1^7*T2^12 + 
      613*T1^8*T2^12 - 459*T1^9*T2^12 - 565*T1^10*T2^12 + 357*T1^11*T2^12 - 
      611*T1^12*T2^12 + 84*T1^13*T2^12 + 265*T1^14*T2^12 - 556*T1^15*T2^12 + 
      335*T1^16*T2^12 + 12*T1^5*T2^13 - 288*T1^6*T2^13 + 543*T1^7*T2^13 - 
      422*T1^8*T2^13 + 8*T1^9*T2^13 + 561*T1^10*T2^13 - 211*T1^11*T2^13 + 
      84*T1^12*T2^13 + 546*T1^13*T2^13 - 749*T1^14*T2^13 + 688*T1^15*T2^13 - 
      300*T1^16*T2^13 + 60*T1^6*T2^14 - 252*T1^8*T2^14 + 475*T1^9*T2^14 - 
      551*T1^10*T2^14 + 102*T1^11*T2^14 + 265*T1^12*T2^14 - 749*T1^13*T2^14 + 
      768*T1^14*T2^14 - 544*T1^15*T2^14 + 196*T1^16*T2^14 - 60*T1^7*T2^15 + 
      148*T1^8*T2^15 - 144*T1^9*T2^15 + 324*T1^11*T2^15 - 556*T1^12*T2^15 + 
      688*T1^13*T2^15 - 544*T1^14*T2^15 + 308*T1^15*T2^15 - 92*T1^16*T2^15 + 
      23*T1^8*T2^16 - 92*T1^9*T2^16 + 196*T1^10*T2^16 - 300*T1^11*T2^16 + 
      335*T1^12*T2^16 - 300*T1^13*T2^16 + 196*T1^14*T2^16 - 92*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 942] -> 
  {-((4 - 18*T + 39*T^2 - 51*T^3 + 39*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-208 + 932*T1 - 2016*T1^2 + 2640*T1^3 - 2016*T1^4 + 932*T1^5 - 
      208*T1^6 + 932*T2 - 3534*T1*T2 + 6156*T1^2*T2 - 5604*T1^3*T2 + 
      876*T1^4*T2 + 2052*T1^5*T2 - 1950*T1^6*T2 + 644*T1^7*T2 - 2016*T2^2 + 
      6156*T1*T2^2 - 7485*T1^2*T2^2 + 1387*T1^3*T2^2 + 9241*T1^4*T2^2 - 
      8909*T1^5*T2^2 + 3435*T1^6*T2^2 + 540*T1^7*T2^2 - 768*T1^8*T2^2 + 
      2640*T2^3 - 5604*T1*T2^3 + 1387*T1^2*T2^3 + 11022*T1^3*T2^3 - 
      20926*T1^4*T2^3 + 7370*T1^5*T2^3 + 4668*T1^6*T2^3 - 7037*T1^7*T2^3 + 
      2604*T1^8*T2^3 + 192*T1^9*T2^3 - 2016*T2^4 + 876*T1*T2^4 + 
      9241*T1^2*T2^4 - 20926*T1^3*T2^4 + 18024*T1^4*T2^4 + 11842*T1^5*T2^4 - 
      20724*T1^6*T2^4 + 11510*T1^7*T2^4 + 529*T1^8*T2^4 - 3012*T1^9*T2^4 + 
      480*T1^10*T2^4 + 932*T2^5 + 2052*T1*T2^5 - 8909*T1^2*T2^5 + 
      7370*T1^3*T2^5 + 11842*T1^4*T2^5 - 40309*T1^5*T2^5 + 26579*T1^6*T2^5 + 
      259*T1^7*T2^5 - 12646*T1^8*T2^5 + 7003*T1^9*T2^5 + 108*T1^10*T2^5 - 
      508*T1^11*T2^5 - 208*T2^6 - 1950*T1*T2^6 + 3435*T1^2*T2^6 + 
      4668*T1^3*T2^6 - 20724*T1^4*T2^6 + 26579*T1^5*T2^6 + 5772*T1^6*T2^6 - 
      30175*T1^7*T2^6 + 23394*T1^8*T2^6 - 4440*T1^9*T2^6 - 3981*T1^10*T2^6 + 
      1506*T1^11*T2^6 + 176*T1^12*T2^6 + 644*T1*T2^7 + 540*T1^2*T2^7 - 
      7037*T1^3*T2^7 + 11510*T1^4*T2^7 + 259*T1^5*T2^7 - 30175*T1^6*T2^7 + 
      36713*T1^7*T2^7 - 11324*T1^8*T2^7 - 8506*T1^9*T2^7 + 8875*T1^10*T2^7 - 
      1404*T1^11*T2^7 - 796*T1^12*T2^7 - 768*T1^2*T2^8 + 2604*T1^3*T2^8 + 
      529*T1^4*T2^8 - 12646*T1^5*T2^8 + 23394*T1^6*T2^8 - 11324*T1^7*T2^8 - 
      15354*T1^8*T2^8 + 19790*T1^9*T2^8 - 8183*T1^10*T2^8 - 1284*T1^11*T2^8 + 
      1728*T1^12*T2^8 + 192*T1^3*T2^9 - 3012*T1^4*T2^9 + 7003*T1^5*T2^9 - 
      4440*T1^6*T2^9 - 8506*T1^7*T2^9 + 19790*T1^8*T2^9 - 10794*T1^9*T2^9 - 
      1421*T1^10*T2^9 + 5196*T1^11*T2^9 - 2256*T1^12*T2^9 + 480*T1^4*T2^10 + 
      108*T1^5*T2^10 - 3981*T1^6*T2^10 + 8875*T1^7*T2^10 - 8183*T1^8*T2^10 - 
      1421*T1^9*T2^10 + 6939*T1^10*T2^10 - 5508*T1^11*T2^10 + 
      1728*T1^12*T2^10 - 508*T1^5*T2^11 + 1506*T1^6*T2^11 - 1404*T1^7*T2^11 - 
      1284*T1^8*T2^11 + 5196*T1^9*T2^11 - 5508*T1^10*T2^11 + 
      3090*T1^11*T2^11 - 796*T1^12*T2^11 + 176*T1^6*T2^12 - 796*T1^7*T2^12 + 
      1728*T1^8*T2^12 - 2256*T1^9*T2^12 + 1728*T1^10*T2^12 - 
      796*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 943] -> 
  {-(((4 - 9*T + 4*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-192 + 1016*T1 - 2472*T1^2 + 3344*T1^3 - 2472*T1^4 + 1016*T1^5 - 
      192*T1^6 + 1016*T2 - 4692*T1*T2 + 9467*T1^2*T2 - 8903*T1^3*T2 + 
      1177*T1^4*T2 + 3419*T1^5*T2 - 2592*T1^6*T2 + 680*T1^7*T2 - 2472*T2^2 + 
      9467*T1*T2^2 - 13524*T1^2*T2^2 + 902*T1^3*T2^2 + 20340*T1^4*T2^2 - 
      18682*T1^5*T2^2 + 5652*T1^6*T2^2 + 899*T1^7*T2^2 - 840*T1^8*T2^2 + 
      3344*T2^3 - 8903*T1*T2^3 + 902*T1^2*T2^3 + 31357*T1^3*T2^3 - 
      52052*T1^4*T2^3 + 16852*T1^5*T2^3 + 14689*T1^6*T2^3 - 14551*T1^7*T2^3 + 
      4201*T1^8*T2^3 + 32*T1^9*T2^3 - 2472*T2^4 + 1177*T1*T2^4 + 
      20340*T1^2*T2^4 - 52052*T1^3*T2^4 + 34983*T1^4*T2^4 + 44375*T1^5*T2^4 - 
      65769*T1^6*T2^4 + 27850*T1^7*T2^4 + 1098*T1^8*T2^4 - 4367*T1^9*T2^4 + 
      792*T1^10*T2^4 + 1016*T2^5 + 3419*T1*T2^5 - 18682*T1^2*T2^5 + 
      16852*T1^3*T2^5 + 44375*T1^4*T2^5 - 119550*T1^5*T2^5 + 
      81894*T1^6*T2^5 + 4136*T1^7*T2^5 - 30056*T1^8*T2^5 + 13295*T1^9*T2^5 - 
      613*T1^10*T2^5 - 664*T1^11*T2^5 - 192*T2^6 - 2592*T1*T2^6 + 
      5652*T1^2*T2^6 + 14689*T1^3*T2^6 - 65769*T1^4*T2^6 + 81894*T1^5*T2^6 + 
      5400*T1^6*T2^6 - 86910*T1^7*T2^6 + 61905*T1^8*T2^6 - 11213*T1^9*T2^6 - 
      5688*T1^10*T2^6 + 2448*T1^11*T2^6 + 192*T1^12*T2^6 + 680*T1*T2^7 + 
      899*T1^2*T2^7 - 14551*T1^3*T2^7 + 27850*T1^4*T2^7 + 4136*T1^5*T2^7 - 
      86910*T1^6*T2^7 + 114534*T1^7*T2^7 - 36103*T1^8*T2^7 - 
      19058*T1^9*T2^7 + 17426*T1^10*T2^7 - 3133*T1^11*T2^7 - 
      1000*T1^12*T2^7 - 840*T1^2*T2^8 + 4201*T1^3*T2^8 + 1098*T1^4*T2^8 - 
      30056*T1^5*T2^8 + 61905*T1^6*T2^8 - 36103*T1^7*T2^8 - 38847*T1^8*T2^8 + 
      49846*T1^9*T2^8 - 18144*T1^10*T2^8 - 1343*T1^11*T2^8 + 
      2424*T1^12*T2^8 + 32*T1^3*T2^9 - 4367*T1^4*T2^9 + 13295*T1^5*T2^9 - 
      11213*T1^6*T2^9 - 19058*T1^7*T2^9 + 49846*T1^8*T2^9 - 27881*T1^9*T2^9 - 
      2158*T1^10*T2^9 + 8737*T1^11*T2^9 - 3280*T1^12*T2^9 + 792*T1^4*T2^10 - 
      613*T1^5*T2^10 - 5688*T1^6*T2^10 + 17426*T1^7*T2^10 - 
      18144*T1^8*T2^10 - 2158*T1^9*T2^10 + 13488*T1^10*T2^10 - 
      9181*T1^11*T2^10 + 2424*T1^12*T2^10 - 664*T1^5*T2^11 + 
      2448*T1^6*T2^11 - 3133*T1^7*T2^11 - 1343*T1^8*T2^11 + 8737*T1^9*T2^11 - 
      9181*T1^10*T2^11 + 4548*T1^11*T2^11 - 1000*T1^12*T2^11 + 
      192*T1^6*T2^12 - 1000*T1^7*T2^12 + 2424*T1^8*T2^12 - 3280*T1^9*T2^12 + 
      2424*T1^10*T2^12 - 1000*T1^11*T2^12 + 192*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 944] -> 
  {((1 - T + T^2)*(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6))/T^4, 
   (-33 + 147*T1 - 342*T1^2 + 521*T1^3 - 603*T1^4 + 521*T1^5 - 342*T1^6 + 
     147*T1^7 - 33*T1^8 + 147*T2 - 544*T1*T2 + 1030*T1^2*T2 - 1174*T1^3*T2 + 
     940*T1^4*T2 - 302*T1^5*T2 - 220*T1^6*T2 + 490*T1^7*T2 - 346*T1^8*T2 + 
     111*T1^9*T2 - 342*T2^2 + 1030*T1*T2^2 - 1517*T1^2*T2^2 + 
     1059*T1^3*T2^2 - 280*T1^4*T2^2 - 833*T1^5*T2^2 + 1064*T1^6*T2^2 - 
     873*T1^7*T2^2 + 79*T1^8*T2^2 + 274*T1^9*T2^2 - 174*T1^10*T2^2 + 
     521*T2^3 - 1174*T1*T2^3 + 1059*T1^2*T2^3 + 339*T1^3*T2^3 - 
     1107*T1^4*T2^3 + 1922*T1^5*T2^3 - 943*T1^6*T2^3 + 78*T1^7*T2^3 + 
     1197*T1^8*T2^3 - 894*T1^9*T2^3 + 176*T1^10*T2^3 + 137*T1^11*T2^3 - 
     603*T2^4 + 940*T1*T2^4 - 280*T1^2*T2^4 - 1107*T1^3*T2^4 + 
     460*T1^4*T2^4 - 386*T1^5*T2^4 - 1626*T1^6*T2^4 + 2022*T1^7*T2^4 - 
     2428*T1^8*T2^4 + 365*T1^9*T2^4 + 752*T1^10*T2^4 - 572*T1^11*T2^4 - 
     11*T1^12*T2^4 + 521*T2^5 - 302*T1*T2^5 - 833*T1^2*T2^5 + 
     1922*T1^3*T2^5 - 386*T1^4*T2^5 + 565*T1^5*T2^5 + 1671*T1^6*T2^5 - 
     1350*T1^7*T2^5 + 1107*T1^8*T2^5 + 1580*T1^9*T2^5 - 1425*T1^10*T2^5 + 
     94*T1^11*T2^5 + 580*T1^12*T2^5 - 119*T1^13*T2^5 - 342*T2^6 - 
     220*T1*T2^6 + 1064*T1^2*T2^6 - 943*T1^3*T2^6 - 1626*T1^4*T2^6 + 
     1671*T1^5*T2^6 - 4311*T1^6*T2^6 + 2907*T1^7*T2^6 - 1155*T1^8*T2^6 - 
     1815*T1^9*T2^6 + 360*T1^10*T2^6 + 1199*T1^11*T2^6 - 904*T1^12*T2^6 - 
     184*T1^13*T2^6 + 162*T1^14*T2^6 + 147*T2^7 + 490*T1*T2^7 - 
     873*T1^2*T2^7 + 78*T1^3*T2^7 + 2022*T1^4*T2^7 - 1350*T1^5*T2^7 + 
     2907*T1^6*T2^7 - 103*T1^7*T2^7 - 1915*T1^8*T2^7 + 2407*T1^9*T2^7 + 
     741*T1^10*T2^7 - 1712*T1^11*T2^7 + 41*T1^12*T2^7 + 954*T1^13*T2^7 - 
     266*T1^14*T2^7 - 105*T1^15*T2^7 - 33*T2^8 - 346*T1*T2^8 + 79*T1^2*T2^8 + 
     1197*T1^3*T2^8 - 2428*T1^4*T2^8 + 1107*T1^5*T2^8 - 1155*T1^6*T2^8 - 
     1915*T1^7*T2^8 + 2832*T1^8*T2^8 - 773*T1^9*T2^8 - 1399*T1^10*T2^8 + 
     529*T1^11*T2^8 + 1816*T1^12*T2^8 - 1401*T1^13*T2^8 - 95*T1^14*T2^8 + 
     338*T1^15*T2^8 + 31*T1^16*T2^8 + 111*T1*T2^9 + 274*T1^2*T2^9 - 
     894*T1^3*T2^9 + 365*T1^4*T2^9 + 1580*T1^5*T2^9 - 1815*T1^6*T2^9 + 
     2407*T1^7*T2^9 - 773*T1^8*T2^9 - 2585*T1^9*T2^9 + 1907*T1^10*T2^9 + 
     276*T1^11*T2^9 - 2154*T1^12*T2^9 + 328*T1^13*T2^9 + 933*T1^14*T2^9 - 
     482*T1^15*T2^9 - 141*T1^16*T2^9 - 174*T1^2*T2^10 + 176*T1^3*T2^10 + 
     752*T1^4*T2^10 - 1425*T1^5*T2^10 + 360*T1^6*T2^10 + 741*T1^7*T2^10 - 
     1399*T1^8*T2^10 + 1907*T1^9*T2^10 + 1757*T1^10*T2^10 - 
     2745*T1^11*T2^10 + 2346*T1^12*T2^10 + 717*T1^13*T2^10 - 
     1216*T1^14*T2^10 + 212*T1^15*T2^10 + 330*T1^16*T2^10 + 137*T1^3*T2^11 - 
     572*T1^4*T2^11 + 94*T1^5*T2^11 + 1199*T1^6*T2^11 - 1712*T1^7*T2^11 + 
     529*T1^8*T2^11 + 276*T1^9*T2^11 - 2745*T1^10*T2^11 + 1071*T1^11*T2^11 + 
     254*T1^12*T2^11 - 2148*T1^13*T2^11 + 1021*T1^14*T2^11 + 
     310*T1^15*T2^11 - 503*T1^16*T2^11 - 11*T1^4*T2^12 + 580*T1^5*T2^12 - 
     904*T1^6*T2^12 + 41*T1^7*T2^12 + 1816*T1^8*T2^12 - 2154*T1^9*T2^12 + 
     2346*T1^10*T2^12 + 254*T1^11*T2^12 - 1072*T1^12*T2^12 + 
     1513*T1^13*T2^12 + 128*T1^14*T2^12 - 932*T1^15*T2^12 + 581*T1^16*T2^12 - 
     119*T1^5*T2^13 - 184*T1^6*T2^13 + 954*T1^7*T2^13 - 1401*T1^8*T2^13 + 
     328*T1^9*T2^13 + 717*T1^10*T2^13 - 2148*T1^11*T2^13 + 1513*T1^12*T2^13 - 
     543*T1^13*T2^13 - 999*T1^14*T2^13 + 1166*T1^15*T2^13 - 503*T1^16*T2^13 + 
     162*T1^6*T2^14 - 266*T1^7*T2^14 - 95*T1^8*T2^14 + 933*T1^9*T2^14 - 
     1216*T1^10*T2^14 + 1021*T1^11*T2^14 + 128*T1^12*T2^14 - 
     999*T1^13*T2^14 + 1501*T1^14*T2^14 - 1022*T1^15*T2^14 + 
     330*T1^16*T2^14 - 105*T1^7*T2^15 + 338*T1^8*T2^15 - 482*T1^9*T2^15 + 
     212*T1^10*T2^15 + 310*T1^11*T2^15 - 932*T1^12*T2^15 + 1166*T1^13*T2^15 - 
     1022*T1^14*T2^15 + 536*T1^15*T2^15 - 141*T1^16*T2^15 + 31*T1^8*T2^16 - 
     141*T1^9*T2^16 + 330*T1^10*T2^16 - 503*T1^11*T2^16 + 581*T1^12*T2^16 - 
     503*T1^13*T2^16 + 330*T1^14*T2^16 - 141*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 945] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (-256 + 1272*T1 - 2912*T1^2 + 3728*T1^3 - 2912*T1^4 + 1272*T1^5 - 
     256*T1^6 + 1272*T2 - 5368*T1*T2 + 9748*T1^2*T2 - 7736*T1^3*T2 + 
     664*T1^4*T2 + 4468*T1^5*T2 - 3448*T1^6*T2 + 952*T1^7*T2 - 2912*T2^2 + 
     9748*T1*T2^2 - 11082*T1^2*T2^2 - 4251*T1^3*T2^2 + 19570*T1^4*T2^2 - 
     18603*T1^5*T2^2 + 4374*T1^6*T2^2 + 2388*T1^7*T2^2 - 1440*T1^8*T2^2 + 
     3728*T2^3 - 7736*T1*T2^3 - 4251*T1^2*T2^3 + 34486*T1^3*T2^3 - 
     39041*T1^4*T2^3 + 10831*T1^5*T2^3 + 18370*T1^6*T2^3 - 14739*T1^7*T2^3 + 
     2744*T1^8*T2^3 + 896*T1^9*T2^3 - 2912*T2^4 + 664*T1*T2^4 + 
     19570*T1^2*T2^4 - 39041*T1^3*T2^4 + 5571*T1^4*T2^4 + 45151*T1^5*T2^4 - 
     55557*T1^6*T2^4 + 16655*T1^7*T2^4 + 6226*T1^8*T2^4 - 4616*T1^9*T2^4 + 
     32*T1^10*T2^4 + 1272*T2^5 + 4468*T1*T2^5 - 18603*T1^2*T2^5 + 
     10831*T1^3*T2^5 + 45151*T1^4*T2^5 - 74788*T1^5*T2^5 + 37622*T1^6*T2^5 + 
     21507*T1^7*T2^5 - 27393*T1^8*T2^5 + 7341*T1^9*T2^5 + 1428*T1^10*T2^5 - 
     328*T1^11*T2^5 - 256*T2^6 - 3448*T1*T2^6 + 4374*T1^2*T2^6 + 
     18370*T1^3*T2^6 - 55557*T1^4*T2^6 + 37622*T1^5*T2^6 + 26964*T1^6*T2^6 - 
     62146*T1^7*T2^6 + 32203*T1^8*T2^6 + 1666*T1^9*T2^6 - 6282*T1^10*T2^6 + 
     1032*T1^11*T2^6 + 128*T1^12*T2^6 + 952*T1*T2^7 + 2388*T1^2*T2^7 - 
     14739*T1^3*T2^7 + 16655*T1^4*T2^7 + 21507*T1^5*T2^7 - 62146*T1^6*T2^7 + 
     50264*T1^7*T2^7 - 2137*T1^8*T2^7 - 21569*T1^9*T2^7 + 11205*T1^10*T2^7 - 
     652*T1^11*T2^7 - 648*T1^12*T2^7 - 1440*T1^2*T2^8 + 2744*T1^3*T2^8 + 
     6226*T1^4*T2^8 - 27393*T1^5*T2^8 + 32203*T1^6*T2^8 - 2137*T1^7*T2^8 - 
     28925*T1^8*T2^8 + 28303*T1^9*T2^8 - 7118*T1^10*T2^8 - 2536*T1^11*T2^8 + 
     1504*T1^12*T2^8 + 896*T1^3*T2^9 - 4616*T1^4*T2^9 + 7341*T1^5*T2^9 + 
     1666*T1^6*T2^9 - 21569*T1^7*T2^9 + 28303*T1^8*T2^9 - 14450*T1^9*T2^9 - 
     3147*T1^10*T2^9 + 5864*T1^11*T2^9 - 1936*T1^12*T2^9 + 32*T1^4*T2^10 + 
     1428*T1^5*T2^10 - 6282*T1^6*T2^10 + 11205*T1^7*T2^10 - 7118*T1^8*T2^10 - 
     3147*T1^9*T2^10 + 9174*T1^10*T2^10 - 5932*T1^11*T2^10 + 
     1504*T1^12*T2^10 - 328*T1^5*T2^11 + 1032*T1^6*T2^11 - 652*T1^7*T2^11 - 
     2536*T1^8*T2^11 + 5864*T1^9*T2^11 - 5932*T1^10*T2^11 + 
     2952*T1^11*T2^11 - 648*T1^12*T2^11 + 128*T1^6*T2^12 - 648*T1^7*T2^12 + 
     1504*T1^8*T2^12 - 1936*T1^9*T2^12 + 1504*T1^10*T2^12 - 648*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 946] -> 
  {-((2 - 9*T + 19*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-57 + 255*T1 - 536*T1^2 + 817*T1^3 - 929*T1^4 + 817*T1^5 - 
      536*T1^6 + 255*T1^7 - 57*T1^8 + 255*T2 - 922*T1*T2 + 1420*T1^2*T2 - 
      1600*T1^3*T2 + 1024*T1^4*T2 - 92*T1^5*T2 - 736*T1^6*T2 + 916*T1^7*T2 - 
      724*T1^8*T2 + 219*T1^9*T2 - 536*T2^2 + 1420*T1*T2^2 - 1048*T1^2*T2^2 + 
      168*T1^3*T2^2 + 1745*T1^4*T2^2 - 2862*T1^5*T2^2 + 2809*T1^6*T2^2 - 
      1352*T1^7*T2^2 + 244*T1^8*T2^2 + 736*T1^9*T2^2 - 384*T1^10*T2^2 + 
      817*T2^3 - 1600*T1*T2^3 + 168*T1^2*T2^3 + 611*T1^3*T2^3 - 
      2332*T1^4*T2^3 + 1773*T1^5*T2^3 - 477*T1^6*T2^3 - 1432*T1^7*T2^3 + 
      1217*T1^8*T2^3 - 1257*T1^9*T2^3 - 376*T1^10*T2^3 + 469*T1^11*T2^3 - 
      929*T2^4 + 1024*T1*T2^4 + 1745*T1^2*T2^4 - 2332*T1^3*T2^4 + 
      4585*T1^4*T2^4 - 3339*T1^5*T2^4 + 2643*T1^6*T2^4 - 1311*T1^7*T2^4 + 
      2329*T1^8*T2^4 - 1114*T1^9*T2^4 + 2063*T1^10*T2^4 - 308*T1^11*T2^4 - 
      401*T1^12*T2^4 + 817*T2^5 - 92*T1*T2^5 - 2862*T1^2*T2^5 + 
      1773*T1^3*T2^5 - 3339*T1^4*T2^5 + 650*T1^5*T2^5 - 660*T1^6*T2^5 - 
      174*T1^7*T2^5 - 1334*T1^8*T2^5 - 716*T1^9*T2^5 - 685*T1^10*T2^5 - 
      1455*T1^11*T2^5 + 736*T1^12*T2^5 + 237*T1^13*T2^5 - 536*T2^6 - 
      736*T1*T2^6 + 2809*T1^2*T2^6 - 477*T1^3*T2^6 + 2643*T1^4*T2^6 - 
      660*T1^5*T2^6 + 2822*T1^6*T2^6 - 2524*T1^7*T2^6 + 3374*T1^8*T2^6 + 
      12*T1^9*T2^6 + 1209*T1^10*T2^6 + 1461*T1^11*T2^6 + 253*T1^12*T2^6 - 
      700*T1^13*T2^6 - 80*T1^14*T2^6 + 255*T2^7 + 916*T1*T2^7 - 
      1352*T1^2*T2^7 - 1432*T1^3*T2^7 - 1311*T1^4*T2^7 - 174*T1^5*T2^7 - 
      2524*T1^6*T2^7 + 1387*T1^7*T2^7 - 1157*T1^8*T2^7 - 1903*T1^9*T2^7 - 
      288*T1^10*T2^7 - 1554*T1^11*T2^7 - 1060*T1^12*T2^7 + 643*T1^13*T2^7 + 
      340*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 724*T1*T2^8 + 244*T1^2*T2^8 + 
      1217*T1^3*T2^8 + 2329*T1^4*T2^8 - 1334*T1^5*T2^8 + 3374*T1^6*T2^8 - 
      1157*T1^7*T2^8 + 312*T1^8*T2^8 + 1485*T1^9*T2^8 + 1012*T1^10*T2^8 + 
      494*T1^11*T2^8 + 1589*T1^12*T2^8 - 109*T1^13*T2^8 - 634*T1^14*T2^8 - 
      40*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 736*T1^2*T2^9 - 
      1257*T1^3*T2^9 - 1114*T1^4*T2^9 - 716*T1^5*T2^9 + 12*T1^6*T2^9 - 
      1903*T1^7*T2^9 + 1485*T1^8*T2^9 - 1059*T1^9*T2^9 - 1282*T1^10*T2^9 - 
      102*T1^11*T2^9 - 959*T1^12*T2^9 - 742*T1^13*T2^9 + 738*T1^14*T2^9 + 
      160*T1^15*T2^9 - 33*T1^16*T2^9 - 384*T1^2*T2^10 - 376*T1^3*T2^10 + 
      2063*T1^4*T2^10 - 685*T1^5*T2^10 + 1209*T1^6*T2^10 - 288*T1^7*T2^10 + 
      1012*T1^8*T2^10 - 1282*T1^9*T2^10 + 1564*T1^10*T2^10 + 
      384*T1^11*T2^10 - 225*T1^12*T2^10 + 1253*T1^13*T2^10 - 
      493*T1^14*T2^10 - 340*T1^15*T2^10 + 72*T1^16*T2^10 + 469*T1^3*T2^11 - 
      308*T1^4*T2^11 - 1455*T1^5*T2^11 + 1461*T1^6*T2^11 - 1554*T1^7*T2^11 + 
      494*T1^8*T2^11 - 102*T1^9*T2^11 + 384*T1^10*T2^11 - 1490*T1^11*T2^11 + 
      1069*T1^12*T2^11 - 997*T1^13*T2^11 - 48*T1^14*T2^11 + 520*T1^15*T2^11 - 
      111*T1^16*T2^11 - 401*T1^4*T2^12 + 736*T1^5*T2^12 + 253*T1^6*T2^12 - 
      1060*T1^7*T2^12 + 1589*T1^8*T2^12 - 959*T1^9*T2^12 - 225*T1^10*T2^12 + 
      1069*T1^11*T2^12 - 667*T1^12*T2^12 + 158*T1^13*T2^12 + 
      571*T1^14*T2^12 - 596*T1^15*T2^12 + 127*T1^16*T2^12 + 237*T1^5*T2^13 - 
      700*T1^6*T2^13 + 643*T1^7*T2^13 - 109*T1^8*T2^13 - 742*T1^9*T2^13 + 
      1253*T1^10*T2^13 - 997*T1^11*T2^13 + 158*T1^12*T2^13 + 
      497*T1^13*T2^13 - 782*T1^14*T2^13 + 524*T1^15*T2^13 - 111*T1^16*T2^13 - 
      80*T1^6*T2^14 + 340*T1^7*T2^14 - 634*T1^8*T2^14 + 738*T1^9*T2^14 - 
      493*T1^10*T2^14 - 48*T1^11*T2^14 + 571*T1^12*T2^14 - 782*T1^13*T2^14 + 
      658*T1^14*T2^14 - 344*T1^15*T2^14 + 72*T1^16*T2^14 + 3*T1^7*T2^15 - 
      40*T1^8*T2^15 + 160*T1^9*T2^15 - 340*T1^10*T2^15 + 520*T1^11*T2^15 - 
      596*T1^12*T2^15 + 524*T1^13*T2^15 - 344*T1^14*T2^15 + 158*T1^15*T2^15 - 
      33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 72*T1^10*T2^16 - 
      111*T1^11*T2^16 + 127*T1^12*T2^16 - 111*T1^13*T2^16 + 72*T1^14*T2^16 - 
      33*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 947] -> 
  {-((4 - 18*T + 35*T^2 - 43*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-336 + 1504*T1 - 2912*T1^2 + 3576*T1^3 - 2912*T1^4 + 1504*T1^5 - 
      336*T1^6 + 1504*T2 - 5518*T1*T2 + 7602*T1^2*T2 - 5492*T1^3*T2 + 
      124*T1^4*T2 + 3786*T1^5*T2 - 3934*T1^6*T2 + 1216*T1^7*T2 - 2912*T2^2 + 
      7602*T1*T2^2 - 2687*T1^2*T2^2 - 8268*T1^3*T2^2 + 17375*T1^4*T2^2 - 
      15268*T1^5*T2^2 + 5993*T1^6*T2^2 + 2562*T1^7*T2^2 - 1792*T1^8*T2^2 + 
      3576*T2^3 - 5492*T1*T2^3 - 8268*T1^2*T2^3 + 19626*T1^3*T2^3 - 
      18953*T1^4*T2^3 + 2839*T1^5*T2^3 + 10488*T1^6*T2^3 - 12468*T1^7*T2^3 + 
      1276*T1^8*T2^3 + 1512*T1^9*T2^3 - 2912*T2^4 + 124*T1*T2^4 + 
      17375*T1^2*T2^4 - 18953*T1^3*T2^4 + 5664*T1^4*T2^4 + 13942*T1^5*T2^4 - 
      15676*T1^6*T2^4 + 4955*T1^7*T2^4 + 9111*T1^8*T2^4 - 3764*T1^9*T2^4 - 
      672*T1^10*T2^4 + 1504*T2^5 + 3786*T1*T2^5 - 15268*T1^2*T2^5 + 
      2839*T1^3*T2^5 + 13942*T1^4*T2^5 - 20587*T1^5*T2^5 + 4553*T1^6*T2^5 + 
      10407*T1^7*T2^5 - 14721*T1^8*T2^5 + 132*T1^9*T2^5 + 2706*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 3934*T1*T2^6 + 5993*T1^2*T2^6 + 
      10488*T1^3*T2^6 - 15676*T1^4*T2^6 + 4553*T1^5*T2^6 + 15576*T1^6*T2^6 - 
      18249*T1^7*T2^6 + 7906*T1^8*T2^6 + 7620*T1^9*T2^6 - 4175*T1^10*T2^6 - 
      478*T1^11*T2^6 + 48*T1^12*T2^6 + 1216*T1*T2^7 + 2562*T1^2*T2^7 - 
      12468*T1^3*T2^7 + 4955*T1^4*T2^7 + 10407*T1^5*T2^7 - 18249*T1^6*T2^7 + 
      6891*T1^7*T2^7 + 6872*T1^8*T2^7 - 12605*T1^9*T2^7 + 2932*T1^10*T2^7 + 
      1482*T1^11*T2^7 - 224*T1^12*T2^7 - 1792*T1^2*T2^8 + 1276*T1^3*T2^8 + 
      9111*T1^4*T2^8 - 14721*T1^5*T2^8 + 7906*T1^6*T2^8 + 6872*T1^7*T2^8 - 
      13434*T1^8*T2^8 + 9187*T1^9*T2^8 + 847*T1^10*T2^8 - 2612*T1^11*T2^8 + 
      448*T1^12*T2^8 + 1512*T1^3*T2^9 - 3764*T1^4*T2^9 + 132*T1^5*T2^9 + 
      7620*T1^6*T2^9 - 12605*T1^7*T2^9 + 9187*T1^8*T2^9 - 1518*T1^9*T2^9 - 
      4068*T1^10*T2^9 + 3004*T1^11*T2^9 - 552*T1^12*T2^9 - 672*T1^4*T2^10 + 
      2706*T1^5*T2^10 - 4175*T1^6*T2^10 + 2932*T1^7*T2^10 + 847*T1^8*T2^10 - 
      4068*T1^9*T2^10 + 4505*T1^10*T2^10 - 2334*T1^11*T2^10 + 
      448*T1^12*T2^10 + 64*T1^5*T2^11 - 478*T1^6*T2^11 + 1482*T1^7*T2^11 - 
      2612*T1^8*T2^11 + 3004*T1^9*T2^11 - 2334*T1^10*T2^11 + 
      1106*T1^11*T2^11 - 224*T1^12*T2^11 + 48*T1^6*T2^12 - 224*T1^7*T2^12 + 
      448*T1^8*T2^12 - 552*T1^9*T2^12 + 448*T1^10*T2^12 - 224*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 948] -> 
  {-((1 - 9*T + 29*T^2 - 54*T^3 + 65*T^4 - 54*T^5 + 29*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 145*T1^2 + 270*T1^3 - 325*T1^4 + 270*T1^5 - 
      145*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 981*T1^2*T2 - 
      1386*T1^3*T2 + 981*T1^4*T2 - 90*T1^5*T2 - 639*T1^6*T2 + 639*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 145*T2^2 + 981*T1*T2^2 - 1377*T1^2*T2^2 - 
      779*T1^3*T2^2 + 5530*T1^4*T2^2 - 8505*T1^5*T2^2 + 7618*T1^6*T2^2 - 
      3389*T1^7*T2^2 + 247*T1^8*T2^2 + 459*T1^9*T2^2 - 87*T1^10*T2^2 + 
      270*T2^3 - 1386*T1*T2^3 - 779*T1^2*T2^3 + 8779*T1^3*T2^3 - 
      17114*T1^4*T2^3 + 14150*T1^5*T2^3 - 3463*T1^6*T2^3 - 7439*T1^7*T2^3 + 
      7771*T1^8*T2^3 - 2867*T1^9*T2^3 - 189*T1^10*T2^3 + 108*T1^11*T2^3 - 
      325*T2^4 + 981*T1*T2^4 + 5530*T1^2*T2^4 - 17114*T1^3*T2^4 + 
      19072*T1^4*T2^4 + 682*T1^5*T2^4 - 19170*T1^6*T2^4 + 23974*T1^7*T2^4 - 
      8028*T1^8*T2^4 - 3938*T1^9*T2^4 + 4322*T1^10*T2^4 - 387*T1^11*T2^4 - 
      65*T1^12*T2^4 + 270*T2^5 - 90*T1*T2^5 - 8505*T1^2*T2^5 + 
      14150*T1^3*T2^5 + 682*T1^4*T2^5 - 32205*T1^5*T2^5 + 35908*T1^6*T2^5 - 
      15041*T1^7*T2^5 - 17247*T1^8*T2^5 + 20149*T1^9*T2^5 - 6505*T1^10*T2^5 - 
      2106*T1^11*T2^5 + 585*T1^12*T2^5 - 145*T2^6 - 639*T1*T2^6 + 
      7618*T1^2*T2^6 - 3463*T1^3*T2^6 - 19170*T1^4*T2^6 + 35908*T1^5*T2^6 - 
      5791*T1^6*T2^6 - 31013*T1^7*T2^6 + 47321*T1^8*T2^6 - 18722*T1^9*T2^6 - 
      7276*T1^10*T2^6 + 9587*T1^11*T2^6 - 1062*T1^12*T2^6 - 261*T1^13*T2^6 + 
      29*T1^14*T2^6 + 45*T2^7 + 639*T1*T2^7 - 3389*T1^2*T2^7 - 
      7439*T1^3*T2^7 + 23974*T1^4*T2^7 - 15041*T1^5*T2^7 - 31013*T1^6*T2^7 + 
      49012*T1^7*T2^7 - 27704*T1^8*T2^7 - 17387*T1^9*T2^7 + 
      28546*T1^10*T2^7 - 10793*T1^11*T2^7 - 3110*T1^12*T2^7 + 
      1831*T1^13*T2^7 - 99*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 247*T1^2*T2^8 + 7771*T1^3*T2^8 - 8028*T1^4*T2^8 - 
      17247*T1^5*T2^8 + 47321*T1^6*T2^8 - 27704*T1^7*T2^8 - 17004*T1^8*T2^8 + 
      44404*T1^9*T2^8 - 25835*T1^10*T2^8 - 4449*T1^11*T2^8 + 
      11316*T1^12*T2^8 - 3011*T1^13*T2^8 - 531*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 459*T1^2*T2^9 - 2867*T1^3*T2^9 - 
      3938*T1^4*T2^9 + 20149*T1^5*T2^9 - 18722*T1^6*T2^9 - 17387*T1^7*T2^9 + 
      44404*T1^8*T2^9 - 32312*T1^9*T2^9 - 3761*T1^10*T2^9 + 
      24865*T1^11*T2^9 - 14618*T1^12*T2^9 + 391*T1^13*T2^9 + 
      2353*T1^14*T2^9 - 279*T1^15*T2^9 - 27*T1^16*T2^9 - 87*T1^2*T2^10 - 
      189*T1^3*T2^10 + 4322*T1^4*T2^10 - 6505*T1^5*T2^10 - 7276*T1^6*T2^10 + 
      28546*T1^7*T2^10 - 25835*T1^8*T2^10 - 3761*T1^9*T2^10 + 
      27277*T1^10*T2^10 - 26084*T1^11*T2^10 + 4618*T1^12*T2^10 + 
      6545*T1^13*T2^10 - 4358*T1^14*T2^10 + 189*T1^15*T2^10 + 
      87*T1^16*T2^10 + 108*T1^3*T2^11 - 387*T1^4*T2^11 - 2106*T1^5*T2^11 + 
      9587*T1^6*T2^11 - 10793*T1^7*T2^11 - 4449*T1^8*T2^11 + 
      24865*T1^9*T2^11 - 26084*T1^10*T2^11 + 10509*T1^11*T2^11 + 
      8674*T1^12*T2^11 - 11068*T1^13*T2^11 + 4293*T1^14*T2^11 + 
      288*T1^15*T2^11 - 162*T1^16*T2^11 - 65*T1^4*T2^12 + 585*T1^5*T2^12 - 
      1062*T1^6*T2^12 - 3110*T1^7*T2^12 + 11316*T1^8*T2^12 - 
      14618*T1^9*T2^12 + 4618*T1^10*T2^12 + 8674*T1^11*T2^12 - 
      15784*T1^12*T2^12 + 10066*T1^13*T2^12 - 2270*T1^14*T2^12 - 
      783*T1^15*T2^12 + 195*T1^16*T2^12 - 261*T1^6*T2^13 + 1831*T1^7*T2^13 - 
      3011*T1^8*T2^13 + 391*T1^9*T2^13 + 6545*T1^10*T2^13 - 
      11068*T1^11*T2^13 + 10066*T1^12*T2^13 - 4019*T1^13*T2^13 - 
      257*T1^14*T2^13 + 936*T1^15*T2^13 - 162*T1^16*T2^13 + 29*T1^6*T2^14 - 
      99*T1^7*T2^14 - 531*T1^8*T2^14 + 2353*T1^9*T2^14 - 4358*T1^10*T2^14 + 
      4293*T1^11*T2^14 - 2270*T1^12*T2^14 - 257*T1^13*T2^14 + 
      1093*T1^14*T2^14 - 621*T1^15*T2^14 + 87*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 279*T1^9*T2^15 + 189*T1^10*T2^15 + 288*T1^11*T2^15 - 
      783*T1^12*T2^15 + 936*T1^13*T2^15 - 621*T1^14*T2^15 + 225*T1^15*T2^15 - 
      27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 87*T1^10*T2^16 - 
      162*T1^11*T2^16 + 195*T1^12*T2^16 - 162*T1^13*T2^16 + 87*T1^14*T2^16 - 
      27*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 949] -> 
  {-(((1 - T + T^2)^2*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4), 
   -((-41 + 204*T1 - 508*T1^2 + 852*T1^3 - 993*T1^4 + 852*T1^5 - 508*T1^6 + 
      204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1715*T1^2*T2 - 2214*T1^3*T2 + 
      1543*T1^4*T2 - 277*T1^5*T2 - 874*T1^6*T2 + 1015*T1^7*T2 - 612*T1^8*T2 + 
      164*T1^9*T2 - 508*T2^2 + 1715*T1*T2^2 - 2551*T1^2*T2^2 + 
      1984*T1^3*T2^2 + 868*T1^4*T2^2 - 2881*T1^5*T2^2 + 3268*T1^6*T2^2 - 
      1216*T1^7*T2^2 - 251*T1^8*T2^2 + 715*T1^9*T2^2 - 308*T1^10*T2^2 + 
      852*T2^3 - 2214*T1*T2^3 + 1984*T1^2*T2^3 + 248*T1^3*T2^3 - 
      4539*T1^4*T2^3 + 4164*T1^5*T2^3 - 1702*T1^6*T2^3 - 2657*T1^7*T2^3 + 
      2586*T1^8*T2^3 - 1316*T1^9*T2^3 - 194*T1^10*T2^3 + 348*T1^11*T2^3 - 
      993*T2^4 + 1543*T1*T2^4 + 868*T1^2*T2^4 - 4539*T1^3*T2^4 + 
      8251*T1^4*T2^4 - 2899*T1^5*T2^4 - 1255*T1^6*T2^4 + 4717*T1^7*T2^4 - 
      205*T1^8*T2^4 - 1683*T1^9*T2^4 + 2268*T1^10*T2^4 - 697*T1^11*T2^4 - 
      209*T1^12*T2^4 + 852*T2^5 - 277*T1*T2^5 - 2881*T1^2*T2^5 + 
      4164*T1^3*T2^5 - 2899*T1^4*T2^5 - 7384*T1^5*T2^5 + 7432*T1^6*T2^5 - 
      4328*T1^7*T2^5 - 5284*T1^8*T2^5 + 4451*T1^9*T2^5 - 2346*T1^10*T2^5 - 
      781*T1^11*T2^5 + 983*T1^12*T2^5 + 12*T1^13*T2^5 - 508*T2^6 - 
      874*T1*T2^6 + 3268*T1^2*T2^6 - 1702*T1^3*T2^6 - 1255*T1^4*T2^6 + 
      7432*T1^5*T2^6 + 2916*T1^6*T2^6 - 10144*T1^7*T2^6 + 14856*T1^8*T2^6 - 
      4608*T1^9*T2^6 - 765*T1^10*T2^6 + 3198*T1^11*T2^6 - 1132*T1^12*T2^6 - 
      514*T1^13*T2^6 + 92*T1^14*T2^6 + 204*T2^7 + 1015*T1*T2^7 - 
      1216*T1^2*T2^7 - 2657*T1^3*T2^7 + 4717*T1^4*T2^7 - 4328*T1^5*T2^7 - 
      10144*T1^6*T2^7 + 11844*T1^7*T2^7 - 6454*T1^8*T2^7 - 6608*T1^9*T2^7 + 
      6872*T1^10*T2^7 - 3697*T1^11*T2^7 - 643*T1^12*T2^7 + 1484*T1^13*T2^7 - 
      85*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 612*T1*T2^8 - 251*T1^2*T2^8 + 
      2586*T1^3*T2^8 - 205*T1^4*T2^8 - 5284*T1^5*T2^8 + 14856*T1^6*T2^8 - 
      6454*T1^7*T2^8 - 4920*T1^8*T2^8 + 11698*T1^9*T2^8 - 4940*T1^10*T2^8 - 
      1084*T1^11*T2^8 + 3383*T1^12*T2^8 - 1702*T1^13*T2^8 - 451*T1^14*T2^8 + 
      268*T1^15*T2^8 + 23*T1^16*T2^8 + 164*T1*T2^9 + 715*T1^2*T2^9 - 
      1316*T1^3*T2^9 - 1683*T1^4*T2^9 + 4451*T1^5*T2^9 - 4608*T1^6*T2^9 - 
      6608*T1^7*T2^9 + 11698*T1^8*T2^9 - 6600*T1^9*T2^9 - 3072*T1^10*T2^9 + 
      6592*T1^11*T2^9 - 3963*T1^12*T2^9 + 331*T1^13*T2^9 + 1384*T1^14*T2^9 - 
      385*T1^15*T2^9 - 116*T1^16*T2^9 - 308*T1^2*T2^10 - 194*T1^3*T2^10 + 
      2268*T1^4*T2^10 - 2346*T1^5*T2^10 - 765*T1^6*T2^10 + 6872*T1^7*T2^10 - 
      4940*T1^8*T2^10 - 3072*T1^9*T2^10 + 7000*T1^10*T2^10 - 
      5168*T1^11*T2^10 - 275*T1^12*T2^10 + 2554*T1^13*T2^10 - 
      2132*T1^14*T2^10 + 166*T1^15*T2^10 + 292*T1^16*T2^10 + 348*T1^3*T2^11 - 
      697*T1^4*T2^11 - 781*T1^5*T2^11 + 3198*T1^6*T2^11 - 3697*T1^7*T2^11 - 
      1084*T1^8*T2^11 + 6592*T1^9*T2^11 - 5168*T1^10*T2^11 + 
      1016*T1^11*T2^11 + 3653*T1^12*T2^11 - 3312*T1^13*T2^11 + 
      1319*T1^14*T2^11 + 563*T1^15*T2^11 - 492*T1^16*T2^11 - 209*T1^4*T2^12 + 
      983*T1^5*T2^12 - 1132*T1^6*T2^12 - 643*T1^7*T2^12 + 3383*T1^8*T2^12 - 
      3963*T1^9*T2^12 - 275*T1^10*T2^12 + 3653*T1^11*T2^12 - 
      5073*T1^12*T2^12 + 2213*T1^13*T2^12 + 268*T1^14*T2^12 - 
      1257*T1^15*T2^12 + 575*T1^16*T2^12 + 12*T1^5*T2^13 - 514*T1^6*T2^13 + 
      1484*T1^7*T2^13 - 1702*T1^8*T2^13 + 331*T1^9*T2^13 + 2554*T1^10*T2^13 - 
      3312*T1^11*T2^13 + 2213*T1^12*T2^13 + 636*T1^13*T2^13 - 
      1816*T1^14*T2^13 + 1506*T1^15*T2^13 - 492*T1^16*T2^13 + 92*T1^6*T2^14 - 
      85*T1^7*T2^14 - 451*T1^8*T2^14 + 1384*T1^9*T2^14 - 2132*T1^10*T2^14 + 
      1319*T1^11*T2^14 + 268*T1^12*T2^14 - 1816*T1^13*T2^14 + 
      1849*T1^14*T2^14 - 1085*T1^15*T2^14 + 292*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 385*T1^9*T2^15 + 166*T1^10*T2^15 + 563*T1^11*T2^15 - 
      1257*T1^12*T2^15 + 1506*T1^13*T2^15 - 1085*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      292*T1^10*T2^16 - 492*T1^11*T2^16 + 575*T1^12*T2^16 - 492*T1^13*T2^16 + 
      292*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 950] -> 
  {-((4 - 20*T + 45*T^2 - 59*T^3 + 45*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-208 + 1036*T1 - 2328*T1^2 + 3056*T1^3 - 2328*T1^4 + 1036*T1^5 - 
      208*T1^6 + 1036*T2 - 4448*T1*T2 + 8042*T1^2*T2 - 7228*T1^3*T2 + 
      1092*T1^4*T2 + 2842*T1^5*T2 - 2528*T1^6*T2 + 716*T1^7*T2 - 2328*T2^2 + 
      8042*T1*T2^2 - 9284*T1^2*T2^2 - 980*T1^3*T2^2 + 16040*T1^4*T2^2 - 
      15020*T1^5*T2^2 + 5476*T1^6*T2^2 + 842*T1^7*T2^2 - 888*T1^8*T2^2 + 
      3056*T2^3 - 7228*T1*T2^3 - 980*T1^2*T2^3 + 22230*T1^3*T2^3 - 
      34996*T1^4*T2^3 + 12584*T1^5*T2^3 + 8334*T1^6*T2^3 - 11240*T1^7*T2^3 + 
      3332*T1^8*T2^3 + 224*T1^9*T2^3 - 2328*T2^4 + 1092*T1*T2^4 + 
      16040*T1^2*T2^4 - 34996*T1^3*T2^4 + 25593*T1^4*T2^4 + 22055*T1^5*T2^4 - 
      36927*T1^6*T2^4 + 19284*T1^7*T2^4 + 1240*T1^8*T2^4 - 3868*T1^9*T2^4 + 
      552*T1^10*T2^4 + 1036*T2^5 + 2842*T1*T2^5 - 15020*T1^2*T2^5 + 
      12584*T1^3*T2^5 + 22055*T1^4*T2^5 - 66063*T1^5*T2^5 + 44157*T1^6*T2^5 + 
      1580*T1^7*T2^5 - 21596*T1^8*T2^5 + 10360*T1^9*T2^5 + 42*T1^10*T2^5 - 
      564*T1^11*T2^5 - 208*T2^6 - 2528*T1*T2^6 + 5476*T1^2*T2^6 + 
      8334*T1^3*T2^6 - 36927*T1^4*T2^6 + 44157*T1^5*T2^6 + 8820*T1^6*T2^6 - 
      50113*T1^7*T2^6 + 39043*T1^8*T2^6 - 6330*T1^9*T2^6 - 6004*T1^10*T2^6 + 
      1952*T1^11*T2^6 + 176*T1^12*T2^6 + 716*T1*T2^7 + 842*T1^2*T2^7 - 
      11240*T1^3*T2^7 + 19284*T1^4*T2^7 + 1580*T1^5*T2^7 - 50113*T1^6*T2^7 + 
      60107*T1^7*T2^7 - 18895*T1^8*T2^7 - 14896*T1^9*T2^7 + 
      14140*T1^10*T2^7 - 1958*T1^11*T2^7 - 884*T1^12*T2^7 - 888*T1^2*T2^8 + 
      3332*T1^3*T2^8 + 1240*T1^4*T2^8 - 21596*T1^5*T2^8 + 39043*T1^6*T2^8 - 
      18895*T1^7*T2^8 - 23477*T1^8*T2^8 + 32684*T1^9*T2^8 - 
      13560*T1^10*T2^8 - 1628*T1^11*T2^8 + 1992*T1^12*T2^8 + 224*T1^3*T2^9 - 
      3868*T1^4*T2^9 + 10360*T1^5*T2^9 - 6330*T1^6*T2^9 - 14896*T1^7*T2^9 + 
      32684*T1^8*T2^9 - 20226*T1^9*T2^9 + 100*T1^10*T2^9 + 6692*T1^11*T2^9 - 
      2608*T1^12*T2^9 + 552*T1^4*T2^10 + 42*T1^5*T2^10 - 6004*T1^6*T2^10 + 
      14140*T1^7*T2^10 - 13560*T1^8*T2^10 + 100*T1^9*T2^10 + 
      8756*T1^10*T2^10 - 7158*T1^11*T2^10 + 1992*T1^12*T2^10 - 
      564*T1^5*T2^11 + 1952*T1^6*T2^11 - 1958*T1^7*T2^11 - 1628*T1^8*T2^11 + 
      6692*T1^9*T2^11 - 7158*T1^10*T2^11 + 3872*T1^11*T2^11 - 
      884*T1^12*T2^11 + 176*T1^6*T2^12 - 884*T1^7*T2^12 + 1992*T1^8*T2^12 - 
      2608*T1^9*T2^12 + 1992*T1^10*T2^12 - 884*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 951] -> 
  {-((1 - 9*T + 32*T^2 - 65*T^3 + 81*T^4 - 65*T^5 + 32*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 96*T1^2 + 195*T1^3 - 243*T1^4 + 195*T1^5 - 
      96*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 703*T1^2*T2 - 
      1181*T1^3*T2 + 1018*T1^4*T2 - 296*T1^5*T2 - 308*T1^6*T2 + 334*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 96*T2^2 + 703*T1*T2^2 - 1648*T1^2*T2^2 + 
      1323*T1^3*T2^2 + 1809*T1^4*T2^2 - 4910*T1^5*T2^2 + 4945*T1^6*T2^2 - 
      2261*T1^7*T2^2 + 336*T1^8*T2^2 + 127*T1^9*T2^2 - 32*T1^10*T2^2 + 
      195*T2^3 - 1181*T1*T2^3 + 1323*T1^2*T2^3 + 3291*T1^3*T2^3 - 
      12685*T1^4*T2^3 + 15378*T1^5*T2^3 - 7755*T1^6*T2^3 - 2299*T1^7*T2^3 + 
      4353*T1^8*T2^3 - 2037*T1^9*T2^3 + 286*T1^10*T2^3 - 243*T2^4 + 
      1018*T1*T2^4 + 1809*T1^2*T2^4 - 12685*T1^3*T2^4 + 24074*T1^4*T2^4 - 
      13117*T1^5*T2^4 - 12156*T1^6*T2^4 + 26069*T1^7*T2^4 - 15526*T1^8*T2^4 + 
      2525*T1^9*T2^4 + 1647*T1^10*T2^4 - 728*T1^11*T2^4 + 81*T1^12*T2^4 + 
      195*T2^5 - 296*T1*T2^5 - 4910*T1^2*T2^5 + 15378*T1^3*T2^5 - 
      13117*T1^4*T2^5 - 24208*T1^5*T2^5 + 57898*T1^6*T2^5 - 46968*T1^7*T2^5 + 
      2172*T1^8*T2^5 + 19620*T1^9*T2^5 - 12681*T1^10*T2^5 + 2293*T1^11*T2^5 + 
      442*T1^12*T2^5 - 130*T1^13*T2^5 - 96*T2^6 - 308*T1*T2^6 + 
      4945*T1^2*T2^6 - 7755*T1^3*T2^6 - 12156*T1^4*T2^6 + 57898*T1^5*T2^6 - 
      61745*T1^6*T2^6 - 2525*T1^7*T2^6 + 67183*T1^8*T2^6 - 57686*T1^9*T2^6 + 
      12000*T1^10*T2^6 + 7989*T1^11*T2^6 - 4787*T1^12*T2^6 + 304*T1^13*T2^6 + 
      96*T1^14*T2^6 + 27*T2^7 + 334*T1*T2^7 - 2261*T1^2*T2^7 - 
      2299*T1^3*T2^7 + 26069*T1^4*T2^7 - 46968*T1^5*T2^7 - 2525*T1^6*T2^7 + 
      99754*T1^7*T2^7 - 122066*T1^8*T2^7 + 39604*T1^9*T2^7 + 
      36462*T1^10*T2^7 - 32464*T1^11*T2^7 + 6611*T1^12*T2^7 + 
      2443*T1^13*T2^7 - 539*T1^14*T2^7 - 36*T1^15*T2^7 - 3*T2^8 - 
      135*T1*T2^8 + 336*T1^2*T2^8 + 4353*T1^3*T2^8 - 15526*T1^4*T2^8 + 
      2172*T1^5*T2^8 + 67183*T1^6*T2^8 - 122066*T1^7*T2^8 + 48144*T1^8*T2^8 + 
      77602*T1^9*T2^8 - 109671*T1^10*T2^8 + 36728*T1^11*T2^8 + 
      8554*T1^12*T2^8 - 9029*T1^13*T2^8 + 314*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 127*T1^2*T2^9 - 2037*T1^3*T2^9 + 
      2525*T1^4*T2^9 + 19620*T1^5*T2^9 - 57686*T1^6*T2^9 + 39604*T1^7*T2^9 + 
      77602*T1^8*T2^9 - 144218*T1^9*T2^9 + 81733*T1^10*T2^9 + 
      25744*T1^11*T2^9 - 38913*T1^12*T2^9 + 11435*T1^13*T2^9 + 
      2667*T1^14*T2^9 - 746*T1^15*T2^9 - 45*T1^16*T2^9 - 32*T1^2*T2^10 + 
      286*T1^3*T2^10 + 1647*T1^4*T2^10 - 12681*T1^5*T2^10 + 
      12000*T1^6*T2^10 + 36462*T1^7*T2^10 - 109671*T1^8*T2^10 + 
      81733*T1^9*T2^10 + 19257*T1^10*T2^10 - 79122*T1^11*T2^10 + 
      36156*T1^12*T2^10 + 3063*T1^13*T2^10 - 8085*T1^14*T2^10 + 
      898*T1^15*T2^10 + 160*T1^16*T2^10 - 728*T1^4*T2^11 + 2293*T1^5*T2^11 + 
      7989*T1^6*T2^11 - 32464*T1^7*T2^11 + 36728*T1^8*T2^11 + 
      25744*T1^9*T2^11 - 79122*T1^10*T2^11 + 63108*T1^11*T2^11 + 
      273*T1^12*T2^11 - 20070*T1^13*T2^11 + 9496*T1^14*T2^11 + 
      10*T1^15*T2^11 - 325*T1^16*T2^11 + 81*T1^4*T2^12 + 442*T1^5*T2^12 - 
      4787*T1^6*T2^12 + 6611*T1^7*T2^12 + 8554*T1^8*T2^12 - 
      38913*T1^9*T2^12 + 36156*T1^10*T2^12 + 273*T1^11*T2^12 - 
      31046*T1^12*T2^12 + 21821*T1^13*T2^12 - 4949*T1^14*T2^12 - 
      1304*T1^15*T2^12 + 405*T1^16*T2^12 - 130*T1^5*T2^13 + 304*T1^6*T2^13 + 
      2443*T1^7*T2^13 - 9029*T1^8*T2^13 + 11435*T1^9*T2^13 + 
      3063*T1^10*T2^13 - 20070*T1^11*T2^13 + 21821*T1^12*T2^13 - 
      7967*T1^13*T2^13 - 917*T1^14*T2^13 + 1771*T1^15*T2^13 - 
      325*T1^16*T2^13 + 96*T1^6*T2^14 - 539*T1^7*T2^14 + 314*T1^8*T2^14 + 
      2667*T1^9*T2^14 - 8085*T1^10*T2^14 + 9496*T1^11*T2^14 - 
      4949*T1^12*T2^14 - 917*T1^13*T2^14 + 2298*T1^14*T2^14 - 
      1115*T1^15*T2^14 + 160*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      746*T1^9*T2^15 + 898*T1^10*T2^15 + 10*T1^11*T2^15 - 1304*T1^12*T2^15 + 
      1771*T1^13*T2^15 - 1115*T1^14*T2^15 + 369*T1^15*T2^15 - 
      45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 160*T1^10*T2^16 - 
      325*T1^11*T2^16 + 405*T1^12*T2^16 - 325*T1^13*T2^16 + 160*T1^14*T2^16 - 
      45*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 952] -> 
  {-(((1 - T + T^2)*(2 - 7*T + 8*T^2 - 7*T^3 + 8*T^4 - 7*T^5 + 2*T^6))/T^4), 
   -((-57 + 255*T1 - 480*T1^2 + 621*T1^3 - 649*T1^4 + 621*T1^5 - 480*T1^6 + 
      255*T1^7 - 57*T1^8 + 255*T2 - 922*T1*T2 + 1169*T1^2*T2 - 936*T1^3*T2 + 
      521*T1^4*T2 - 289*T1^5*T2 - 234*T1^6*T2 + 701*T1^7*T2 - 724*T1^8*T2 + 
      219*T1^9*T2 - 480*T2^2 + 1169*T1*T2^2 - 12*T1^2*T2^2 - 1492*T1^3*T2^2 + 
      2338*T1^4*T2^2 - 2218*T1^5*T2^2 + 2746*T1^6*T2^2 - 2376*T1^7*T2^2 + 
      1008*T1^8*T2^2 + 557*T1^9*T2^2 - 344*T1^10*T2^2 + 621*T2^3 - 
      936*T1*T2^3 - 1492*T1^2*T2^3 + 2371*T1^3*T2^3 - 1798*T1^4*T2^3 + 
      557*T1^5*T2^3 - 1180*T1^6*T2^3 - 55*T1^7*T2^3 + 1561*T1^8*T2^3 - 
      2053*T1^9*T2^3 - 54*T1^10*T2^3 + 357*T1^11*T2^3 - 649*T2^4 + 
      521*T1*T2^4 + 2338*T1^2*T2^4 - 1798*T1^3*T2^4 + 847*T1^4*T2^4 - 
      222*T1^5*T2^4 + 1871*T1^6*T2^4 - 238*T1^7*T2^4 - 437*T1^8*T2^4 + 
      94*T1^9*T2^4 + 1902*T1^10*T2^4 - 343*T1^11*T2^4 - 281*T1^12*T2^4 + 
      621*T2^5 - 289*T1*T2^5 - 2218*T1^2*T2^5 + 557*T1^3*T2^5 - 
      222*T1^4*T2^5 + 267*T1^5*T2^5 - 1972*T1^6*T2^5 - 303*T1^7*T2^5 + 
      261*T1^8*T2^5 - 102*T1^9*T2^5 - 1046*T1^10*T2^5 - 1117*T1^11*T2^5 + 
      449*T1^12*T2^5 + 181*T1^13*T2^5 - 480*T2^6 - 234*T1*T2^6 + 
      2746*T1^2*T2^6 - 1180*T1^3*T2^6 + 1871*T1^4*T2^6 - 1972*T1^5*T2^6 + 
      2876*T1^6*T2^6 - 32*T1^7*T2^6 + 332*T1^8*T2^6 + 6*T1^9*T2^6 + 
      869*T1^10*T2^6 + 758*T1^11*T2^6 + 650*T1^12*T2^6 - 486*T1^13*T2^6 - 
      72*T1^14*T2^6 + 255*T2^7 + 701*T1*T2^7 - 2376*T1^2*T2^7 - 
      55*T1^3*T2^7 - 238*T1^4*T2^7 - 303*T1^5*T2^7 - 32*T1^6*T2^7 - 
      2025*T1^7*T2^7 + 459*T1^8*T2^7 + 16*T1^9*T2^7 - 1354*T1^10*T2^7 + 
      186*T1^11*T2^7 - 1202*T1^12*T2^7 + 123*T1^13*T2^7 + 305*T1^14*T2^7 + 
      3*T1^15*T2^7 - 57*T2^8 - 724*T1*T2^8 + 1008*T1^2*T2^8 + 
      1561*T1^3*T2^8 - 437*T1^4*T2^8 + 261*T1^5*T2^8 + 332*T1^6*T2^8 + 
      459*T1^7*T2^8 + 1680*T1^8*T2^8 - 1759*T1^9*T2^8 + 1876*T1^10*T2^8 - 
      177*T1^11*T2^8 + 547*T1^12*T2^8 + 651*T1^13*T2^8 - 510*T1^14*T2^8 - 
      40*T1^15*T2^8 + 7*T1^16*T2^8 + 219*T1*T2^9 + 557*T1^2*T2^9 - 
      2053*T1^3*T2^9 + 94*T1^4*T2^9 - 102*T1^5*T2^9 + 6*T1^6*T2^9 + 
      16*T1^7*T2^9 - 1759*T1^8*T2^9 + 725*T1^9*T2^9 + 64*T1^10*T2^9 - 
      1045*T1^11*T2^9 + 322*T1^12*T2^9 - 1053*T1^13*T2^9 + 446*T1^14*T2^9 + 
      161*T1^15*T2^9 - 33*T1^16*T2^9 - 344*T1^2*T2^10 - 54*T1^3*T2^10 + 
      1902*T1^4*T2^10 - 1046*T1^5*T2^10 + 869*T1^6*T2^10 - 1354*T1^7*T2^10 + 
      1876*T1^8*T2^10 + 64*T1^9*T2^10 - 668*T1^10*T2^10 + 624*T1^11*T2^10 - 
      133*T1^12*T2^10 + 892*T1^13*T2^10 - 194*T1^14*T2^10 - 306*T1^15*T2^10 + 
      64*T1^16*T2^10 + 357*T1^3*T2^11 - 343*T1^4*T2^11 - 1117*T1^5*T2^11 + 
      758*T1^6*T2^11 + 186*T1^7*T2^11 - 177*T1^8*T2^11 - 1045*T1^9*T2^11 + 
      624*T1^10*T2^11 - 183*T1^11*T2^11 + 306*T1^12*T2^11 - 845*T1^13*T2^11 - 
      16*T1^14*T2^11 + 395*T1^15*T2^11 - 83*T1^16*T2^11 - 281*T1^4*T2^12 + 
      449*T1^5*T2^12 + 650*T1^6*T2^12 - 1202*T1^7*T2^12 + 547*T1^8*T2^12 + 
      322*T1^9*T2^12 - 133*T1^10*T2^12 + 306*T1^11*T2^12 - 737*T1^12*T2^12 + 
      690*T1^13*T2^12 + 214*T1^14*T2^12 - 415*T1^15*T2^12 + 87*T1^16*T2^12 + 
      181*T1^5*T2^13 - 486*T1^6*T2^13 + 123*T1^7*T2^13 + 651*T1^8*T2^13 - 
      1053*T1^9*T2^13 + 892*T1^10*T2^13 - 845*T1^11*T2^13 + 690*T1^12*T2^13 - 
      159*T1^13*T2^13 - 438*T1^14*T2^13 + 396*T1^15*T2^13 - 83*T1^16*T2^13 - 
      72*T1^6*T2^14 + 305*T1^7*T2^14 - 510*T1^8*T2^14 + 446*T1^9*T2^14 - 
      194*T1^10*T2^14 - 16*T1^11*T2^14 + 214*T1^12*T2^14 - 438*T1^13*T2^14 + 
      510*T1^14*T2^14 - 307*T1^15*T2^14 + 64*T1^16*T2^14 + 3*T1^7*T2^15 - 
      40*T1^8*T2^15 + 161*T1^9*T2^15 - 306*T1^10*T2^15 + 395*T1^11*T2^15 - 
      415*T1^12*T2^15 + 396*T1^13*T2^15 - 307*T1^14*T2^15 + 158*T1^15*T2^15 - 
      33*T1^16*T2^15 + 7*T1^8*T2^16 - 33*T1^9*T2^16 + 64*T1^10*T2^16 - 
      83*T1^11*T2^16 + 87*T1^12*T2^16 - 83*T1^13*T2^16 + 64*T1^14*T2^16 - 
      33*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 953] -> 
  {-((4 - 20*T + 42*T^2 - 53*T^3 + 42*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -((-336 + 1664*T1 - 3472*T1^2 + 4376*T1^3 - 3472*T1^4 + 1664*T1^5 - 
      336*T1^6 + 1664*T2 - 6900*T1*T2 + 10564*T1^2*T2 - 7840*T1^3*T2 - 
      240*T1^4*T2 + 5604*T1^5*T2 - 4980*T1^6*T2 + 1344*T1^7*T2 - 3472*T2^2 + 
      10564*T1*T2^2 - 5234*T1^2*T2^2 - 12751*T1^3*T2^2 + 28612*T1^4*T2^2 - 
      23839*T1^5*T2^2 + 7534*T1^6*T2^2 + 3844*T1^7*T2^2 - 2128*T1^8*T2^2 + 
      4376*T2^3 - 7840*T1*T2^3 - 12751*T1^2*T2^3 + 36424*T1^3*T2^3 - 
      36399*T1^4*T2^3 + 3969*T1^5*T2^3 + 20596*T1^6*T2^3 - 19303*T1^7*T2^3 + 
      1520*T1^8*T2^3 + 1832*T1^9*T2^3 - 3472*T2^4 - 240*T1*T2^4 + 
      28612*T1^2*T2^4 - 36399*T1^3*T2^4 + 7995*T1^4*T2^4 + 35471*T1^5*T2^4 - 
      36429*T1^6*T2^4 + 8545*T1^7*T2^4 + 14436*T1^8*T2^4 - 5200*T1^9*T2^4 - 
      784*T1^10*T2^4 + 1664*T2^5 + 5604*T1*T2^5 - 23839*T1^2*T2^5 + 
      3969*T1^3*T2^5 + 35471*T1^4*T2^5 - 52094*T1^5*T2^5 + 12736*T1^6*T2^5 + 
      24299*T1^7*T2^5 - 27247*T1^8*T2^5 + 857*T1^9*T2^5 + 3524*T1^10*T2^5 + 
      64*T1^11*T2^5 - 336*T2^6 - 4980*T1*T2^6 + 7534*T1^2*T2^6 + 
      20596*T1^3*T2^6 - 36429*T1^4*T2^6 + 12736*T1^5*T2^6 + 36720*T1^6*T2^6 - 
      44808*T1^7*T2^6 + 16867*T1^8*T2^6 + 12148*T1^9*T2^6 - 6322*T1^10*T2^6 - 
      500*T1^11*T2^6 + 48*T1^12*T2^6 + 1344*T1*T2^7 + 3844*T1^2*T2^7 - 
      19303*T1^3*T2^7 + 8545*T1^4*T2^7 + 24299*T1^5*T2^7 - 44808*T1^6*T2^7 + 
      20022*T1^7*T2^7 + 13127*T1^8*T2^7 - 22671*T1^9*T2^7 + 5393*T1^10*T2^7 + 
      1764*T1^11*T2^7 - 256*T1^12*T2^7 - 2128*T1^2*T2^8 + 1520*T1^3*T2^8 + 
      14436*T1^4*T2^8 - 27247*T1^5*T2^8 + 16867*T1^6*T2^8 + 13127*T1^7*T2^8 - 
      27557*T1^8*T2^8 + 17697*T1^9*T2^8 + 260*T1^10*T2^8 - 3440*T1^11*T2^8 + 
      560*T1^12*T2^8 + 1832*T1^3*T2^9 - 5200*T1^4*T2^9 + 857*T1^5*T2^9 + 
      12148*T1^6*T2^9 - 22671*T1^7*T2^9 + 17697*T1^8*T2^9 - 3680*T1^9*T2^9 - 
      5695*T1^10*T2^9 + 4160*T1^11*T2^9 - 712*T1^12*T2^9 - 784*T1^4*T2^10 + 
      3524*T1^5*T2^10 - 6322*T1^6*T2^10 + 5393*T1^7*T2^10 + 260*T1^8*T2^10 - 
      5695*T1^9*T2^10 + 6446*T1^10*T2^10 - 3196*T1^11*T2^10 + 
      560*T1^12*T2^10 + 64*T1^5*T2^11 - 500*T1^6*T2^11 + 1764*T1^7*T2^11 - 
      3440*T1^8*T2^11 + 4160*T1^9*T2^11 - 3196*T1^10*T2^11 + 
      1420*T1^11*T2^11 - 256*T1^12*T2^11 + 48*T1^6*T2^12 - 256*T1^7*T2^12 + 
      560*T1^8*T2^12 - 712*T1^9*T2^12 + 560*T1^10*T2^12 - 256*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 954] -> 
  {-((2 - 10*T + 25*T^2 - 43*T^3 + 51*T^4 - 43*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 508*T1^2 + 872*T1^3 - 1033*T1^4 + 872*T1^5 - 
      508*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1715*T1^2*T2 - 
      2314*T1^3*T2 + 1663*T1^4*T2 - 217*T1^5*T2 - 954*T1^6*T2 + 
      1015*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 508*T2^2 + 1715*T1*T2^2 - 
      2551*T1^2*T2^2 + 2235*T1^3*T2^2 + 773*T1^4*T2^2 - 3293*T1^5*T2^2 + 
      3373*T1^6*T2^2 - 1065*T1^7*T2^2 - 251*T1^8*T2^2 + 715*T1^9*T2^2 - 
      308*T1^10*T2^2 + 872*T2^3 - 2314*T1*T2^3 + 2235*T1^2*T2^3 - 
      606*T1^3*T2^3 - 4241*T1^4*T2^3 + 4687*T1^5*T2^3 - 1269*T1^6*T2^3 - 
      2979*T1^7*T2^3 + 2254*T1^8*T2^3 - 1215*T1^9*T2^3 - 234*T1^10*T2^3 + 
      356*T1^11*T2^3 - 1033*T2^4 + 1663*T1*T2^4 + 773*T1^2*T2^4 - 
      4241*T1^3*T2^4 + 9969*T1^4*T2^4 - 5681*T1^5*T2^4 - 451*T1^6*T2^4 + 
      3215*T1^7*T2^4 + 1581*T1^8*T2^4 - 2005*T1^9*T2^4 + 2373*T1^10*T2^4 - 
      697*T1^11*T2^4 - 217*T1^12*T2^4 + 872*T2^5 - 217*T1*T2^5 - 
      3293*T1^2*T2^5 + 4687*T1^3*T2^5 - 5681*T1^4*T2^5 - 5517*T1^5*T2^5 + 
      8757*T1^6*T2^5 - 3303*T1^7*T2^5 - 6397*T1^8*T2^5 + 3614*T1^9*T2^5 - 
      2173*T1^10*T2^5 - 893*T1^11*T2^5 + 1023*T1^12*T2^5 + 12*T1^13*T2^5 - 
      508*T2^6 - 954*T1*T2^6 + 3373*T1^2*T2^6 - 1269*T1^3*T2^6 - 
      451*T1^4*T2^6 + 8757*T1^5*T2^6 + 742*T1^6*T2^6 - 13444*T1^7*T2^6 + 
      17182*T1^8*T2^6 - 4013*T1^9*T2^6 - 461*T1^10*T2^6 + 3331*T1^11*T2^6 - 
      1227*T1^12*T2^6 - 514*T1^13*T2^6 + 92*T1^14*T2^6 + 204*T2^7 + 
      1015*T1*T2^7 - 1065*T1^2*T2^7 - 2979*T1^3*T2^7 + 3215*T1^4*T2^7 - 
      3303*T1^5*T2^7 - 13444*T1^6*T2^7 + 19770*T1^7*T2^7 - 9142*T1^8*T2^7 - 
      8295*T1^9*T2^7 + 7337*T1^10*T2^7 - 4484*T1^11*T2^7 - 345*T1^12*T2^7 + 
      1485*T1^13*T2^7 - 85*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 251*T1^2*T2^8 + 2254*T1^3*T2^8 + 1581*T1^4*T2^8 - 
      6397*T1^5*T2^8 + 17182*T1^6*T2^8 - 9142*T1^7*T2^8 - 9468*T1^8*T2^8 + 
      17986*T1^9*T2^8 - 7352*T1^10*T2^8 + 381*T1^11*T2^8 + 2933*T1^12*T2^8 - 
      1726*T1^13*T2^8 - 451*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 715*T1^2*T2^9 - 1215*T1^3*T2^9 - 2005*T1^4*T2^9 + 
      3614*T1^5*T2^9 - 4013*T1^6*T2^9 - 8295*T1^7*T2^9 + 17986*T1^8*T2^9 - 
      10926*T1^9*T2^9 - 3146*T1^10*T2^9 + 6627*T1^11*T2^9 - 4085*T1^12*T2^9 + 
      629*T1^13*T2^9 + 1335*T1^14*T2^9 - 385*T1^15*T2^9 - 116*T1^16*T2^9 - 
      308*T1^2*T2^10 - 234*T1^3*T2^10 + 2373*T1^4*T2^10 - 2173*T1^5*T2^10 - 
      461*T1^6*T2^10 + 7337*T1^7*T2^10 - 7352*T1^8*T2^10 - 3146*T1^9*T2^10 + 
      9088*T1^10*T2^10 - 5433*T1^11*T2^10 - 471*T1^12*T2^10 + 
      2427*T1^13*T2^10 - 2227*T1^14*T2^10 + 206*T1^15*T2^10 + 
      292*T1^16*T2^10 + 356*T1^3*T2^11 - 697*T1^4*T2^11 - 893*T1^5*T2^11 + 
      3331*T1^6*T2^11 - 4484*T1^7*T2^11 + 381*T1^8*T2^11 + 6627*T1^9*T2^11 - 
      5433*T1^10*T2^11 - 499*T1^11*T2^11 + 4811*T1^12*T2^11 - 
      3529*T1^13*T2^11 + 1507*T1^14*T2^11 + 543*T1^15*T2^11 - 
      504*T1^16*T2^11 - 217*T1^4*T2^12 + 1023*T1^5*T2^12 - 1227*T1^6*T2^12 - 
      345*T1^7*T2^12 + 2933*T1^8*T2^12 - 4085*T1^9*T2^12 - 471*T1^10*T2^12 + 
      4811*T1^11*T2^12 - 5455*T1^12*T2^12 + 1891*T1^13*T2^12 + 
      373*T1^14*T2^12 - 1337*T1^15*T2^12 + 599*T1^16*T2^12 + 12*T1^5*T2^13 - 
      514*T1^6*T2^13 + 1485*T1^7*T2^13 - 1726*T1^8*T2^13 + 629*T1^9*T2^13 + 
      2427*T1^10*T2^13 - 3529*T1^11*T2^13 + 1891*T1^12*T2^13 + 
      1134*T1^13*T2^13 - 1965*T1^14*T2^13 + 1566*T1^15*T2^13 - 
      504*T1^16*T2^13 + 92*T1^6*T2^14 - 85*T1^7*T2^14 - 451*T1^8*T2^14 + 
      1335*T1^9*T2^14 - 2227*T1^10*T2^14 + 1507*T1^11*T2^14 + 
      373*T1^12*T2^14 - 1965*T1^13*T2^14 + 1849*T1^14*T2^14 - 
      1085*T1^15*T2^14 + 292*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      385*T1^9*T2^15 + 206*T1^10*T2^15 + 543*T1^11*T2^15 - 1337*T1^12*T2^15 + 
      1566*T1^13*T2^15 - 1085*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 292*T1^10*T2^16 - 
      504*T1^11*T2^16 + 599*T1^12*T2^16 - 504*T1^13*T2^16 + 292*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 955] -> 
  {-((4 - 20*T + 44*T^2 - 57*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3), 
   (-2*(-104 + 518*T1 - 1140*T1^2 + 1480*T1^3 - 1140*T1^4 + 518*T1^5 - 
      104*T1^6 + 518*T2 - 2224*T1*T2 + 3902*T1^2*T2 - 3455*T1^3*T2 + 
      585*T1^4*T2 + 1342*T1^5*T2 - 1264*T1^6*T2 + 358*T1^7*T2 - 1140*T2^2 + 
      3902*T1*T2^2 - 4104*T1^2*T2^2 - 1009*T1^3*T2^2 + 7930*T1^4*T2^2 - 
      7521*T1^5*T2^2 + 2936*T1^6*T2^2 + 382*T1^7*T2^2 - 436*T1^8*T2^2 + 
      1480*T2^3 - 3455*T1*T2^3 - 1009*T1^2*T2^3 + 10894*T1^3*T2^3 - 
      16293*T1^4*T2^3 + 6259*T1^5*T2^3 + 3596*T1^6*T2^3 - 5497*T1^7*T2^3 + 
      1625*T1^8*T2^3 + 112*T1^9*T2^3 - 1140*T2^4 + 585*T1*T2^4 + 
      7930*T1^2*T2^4 - 16293*T1^3*T2^4 + 11861*T1^4*T2^4 + 8810*T1^5*T2^4 - 
      16239*T1^6*T2^4 + 9243*T1^7*T2^4 + 618*T1^8*T2^4 - 1895*T1^9*T2^4 + 
      268*T1^10*T2^4 + 518*T2^5 + 1342*T1*T2^5 - 7521*T1^2*T2^5 + 
      6259*T1^3*T2^5 + 8810*T1^4*T2^5 - 27666*T1^5*T2^5 + 19308*T1^6*T2^5 + 
      274*T1^7*T2^5 - 10325*T1^8*T2^5 + 5063*T1^9*T2^5 + 62*T1^10*T2^5 - 
      282*T1^11*T2^5 - 104*T2^6 - 1264*T1*T2^6 + 2936*T1^2*T2^6 + 
      3596*T1^3*T2^6 - 16239*T1^4*T2^6 + 19308*T1^5*T2^6 + 3006*T1^6*T2^6 - 
      21284*T1^7*T2^6 + 17713*T1^8*T2^6 - 2660*T1^9*T2^6 - 3208*T1^10*T2^6 + 
      976*T1^11*T2^6 + 88*T1^12*T2^6 + 358*T1*T2^7 + 382*T1^2*T2^7 - 
      5497*T1^3*T2^7 + 9243*T1^4*T2^7 + 274*T1^5*T2^7 - 21284*T1^6*T2^7 + 
      25690*T1^7*T2^7 - 8262*T1^8*T2^7 - 7341*T1^9*T2^7 + 7087*T1^10*T2^7 - 
      898*T1^11*T2^7 - 442*T1^12*T2^7 - 436*T1^2*T2^8 + 1625*T1^3*T2^8 + 
      618*T1^4*T2^8 - 10325*T1^5*T2^8 + 17713*T1^6*T2^8 - 8262*T1^7*T2^8 - 
      10387*T1^8*T2^8 + 15211*T1^9*T2^8 - 6694*T1^10*T2^8 - 855*T1^11*T2^8 + 
      972*T1^12*T2^8 + 112*T1^3*T2^9 - 1895*T1^4*T2^9 + 5063*T1^5*T2^9 - 
      2660*T1^6*T2^9 - 7341*T1^7*T2^9 + 15211*T1^8*T2^9 - 9958*T1^9*T2^9 + 
      575*T1^10*T2^9 + 3185*T1^11*T2^9 - 1256*T1^12*T2^9 + 268*T1^4*T2^10 + 
      62*T1^5*T2^10 - 3208*T1^6*T2^10 + 7087*T1^7*T2^10 - 6694*T1^8*T2^10 + 
      575*T1^9*T2^10 + 3832*T1^10*T2^10 - 3458*T1^11*T2^10 + 
      972*T1^12*T2^10 - 282*T1^5*T2^11 + 976*T1^6*T2^11 - 898*T1^7*T2^11 - 
      855*T1^8*T2^11 + 3185*T1^9*T2^11 - 3458*T1^10*T2^11 + 
      1936*T1^11*T2^11 - 442*T1^12*T2^11 + 88*T1^6*T2^12 - 442*T1^7*T2^12 + 
      972*T1^8*T2^12 - 1256*T1^9*T2^12 + 972*T1^10*T2^12 - 442*T1^11*T2^12 + 
      88*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 956] -> 
  {(2 - 10*T + 26*T^2 - 42*T^3 + 49*T^4 - 42*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-15 + 76*T1 - 200*T1^2 + 326*T1^3 - 381*T1^4 + 326*T1^5 - 
     200*T1^6 + 76*T1^7 - 15*T1^8 + 76*T2 - 348*T1*T2 + 825*T1^2*T2 - 
     1154*T1^3*T2 + 1117*T1^4*T2 - 703*T1^5*T2 + 206*T1^6*T2 + 105*T1^7*T2 - 
     108*T1^8*T2 + 36*T1^9*T2 - 200*T2^2 + 825*T1*T2^2 - 1719*T1^2*T2^2 + 
     1866*T1^3*T2^2 - 1067*T1^4*T2^2 - 317*T1^5*T2^2 + 1325*T1^6*T2^2 - 
     1462*T1^7*T2^2 + 777*T1^8*T2^2 - 215*T1^9*T2^2 + 8*T1^10*T2^2 + 
     326*T2^3 - 1154*T1*T2^3 + 1866*T1^2*T2^3 - 738*T1^3*T2^3 - 
     1498*T1^4*T2^3 + 3325*T1^5*T2^3 - 3199*T1^6*T2^3 + 1314*T1^7*T2^3 + 
     990*T1^8*T2^3 - 1566*T1^9*T2^3 + 846*T1^10*T2^3 - 178*T1^11*T2^3 - 
     381*T2^4 + 1117*T1*T2^4 - 1067*T1^2*T2^4 - 1498*T1^3*T2^4 + 
     3933*T1^4*T2^4 - 3686*T1^5*T2^4 + 629*T1^6*T2^4 + 3090*T1^7*T2^4 - 
     4523*T1^8*T2^4 + 2198*T1^9*T2^4 + 725*T1^10*T2^4 - 1123*T1^11*T2^4 + 
     403*T1^12*T2^4 + 326*T2^5 - 703*T1*T2^5 - 317*T1^2*T2^5 + 
     3325*T1^3*T2^5 - 3686*T1^4*T2^5 - 814*T1^5*T2^5 + 6011*T1^6*T2^5 - 
     8521*T1^7*T2^5 + 5192*T1^8*T2^5 + 1102*T1^9*T2^5 - 4151*T1^10*T2^5 + 
     1279*T1^11*T2^5 + 557*T1^12*T2^5 - 514*T1^13*T2^5 - 200*T2^6 + 
     206*T1*T2^6 + 1325*T1^2*T2^6 - 3199*T1^3*T2^6 + 629*T1^4*T2^6 + 
     6011*T1^5*T2^6 - 7405*T1^6*T2^6 + 3903*T1^7*T2^6 + 4927*T1^8*T2^6 - 
     9669*T1^9*T2^6 + 6509*T1^10*T2^6 + 1897*T1^11*T2^6 - 2267*T1^12*T2^6 + 
     446*T1^13*T2^6 + 424*T1^14*T2^6 + 76*T2^7 + 105*T1*T2^7 - 
     1462*T1^2*T2^7 + 1314*T1^3*T2^7 + 3090*T1^4*T2^7 - 8521*T1^5*T2^7 + 
     3903*T1^6*T2^7 + 1638*T1^7*T2^7 - 7992*T1^8*T2^7 + 4123*T1^9*T2^7 + 
     3715*T1^10*T2^7 - 9650*T1^11*T2^7 + 2038*T1^12*T2^7 + 1346*T1^13*T2^7 - 
     1095*T1^14*T2^7 - 204*T1^15*T2^7 - 15*T2^8 - 108*T1*T2^8 + 
     777*T1^2*T2^8 + 990*T1^3*T2^8 - 4523*T1^4*T2^8 + 5192*T1^5*T2^8 + 
     4927*T1^6*T2^8 - 7992*T1^7*T2^8 + 8808*T1^8*T2^8 + 704*T1^9*T2^8 - 
     5249*T1^10*T2^8 + 4352*T1^11*T2^8 + 6869*T1^12*T2^8 - 4738*T1^13*T2^8 + 
     1017*T1^14*T2^8 + 772*T1^15*T2^8 + 49*T1^16*T2^8 + 36*T1*T2^9 - 
     215*T1^2*T2^9 - 1566*T1^3*T2^9 + 2198*T1^4*T2^9 + 1102*T1^5*T2^9 - 
     9669*T1^6*T2^9 + 4123*T1^7*T2^9 + 704*T1^8*T2^9 - 8926*T1^9*T2^9 + 
     4343*T1^10*T2^9 + 2567*T1^11*T2^9 - 11638*T1^12*T2^9 + 2922*T1^13*T2^9 + 
     1242*T1^14*T2^9 - 1415*T1^15*T2^9 - 244*T1^16*T2^9 + 8*T1^2*T2^10 + 
     846*T1^3*T2^10 + 725*T1^4*T2^10 - 4151*T1^5*T2^10 + 6509*T1^6*T2^10 + 
     3715*T1^7*T2^10 - 5249*T1^8*T2^10 + 4343*T1^9*T2^10 + 7083*T1^10*T2^10 - 
     11965*T1^11*T2^10 + 12389*T1^12*T2^10 + 945*T1^13*T2^10 - 
     2867*T1^14*T2^10 + 1086*T1^15*T2^10 + 632*T1^16*T2^10 - 178*T1^3*T2^11 - 
     1123*T1^4*T2^11 + 1279*T1^5*T2^11 + 1897*T1^6*T2^11 - 9650*T1^7*T2^11 + 
     4352*T1^8*T2^11 + 2567*T1^9*T2^11 - 11965*T1^10*T2^11 + 
     10358*T1^11*T2^11 - 4862*T1^12*T2^11 - 5579*T1^13*T2^11 + 
     2875*T1^14*T2^11 + 137*T1^15*T2^11 - 1018*T1^16*T2^11 + 403*T1^4*T2^12 + 
     557*T1^5*T2^12 - 2267*T1^6*T2^12 + 2038*T1^7*T2^12 + 6869*T1^8*T2^12 - 
     11638*T1^9*T2^12 + 12389*T1^10*T2^12 - 4862*T1^11*T2^12 - 
     1587*T1^12*T2^12 + 5734*T1^13*T2^12 - 475*T1^14*T2^12 - 
     1683*T1^15*T2^12 + 1187*T1^16*T2^12 - 514*T1^5*T2^13 + 446*T1^6*T2^13 + 
     1346*T1^7*T2^13 - 4738*T1^8*T2^13 + 2922*T1^9*T2^13 + 945*T1^10*T2^13 - 
     5579*T1^11*T2^13 + 5734*T1^12*T2^13 - 3010*T1^13*T2^13 - 
     2086*T1^14*T2^13 + 2446*T1^15*T2^13 - 1018*T1^16*T2^13 + 
     424*T1^6*T2^14 - 1095*T1^7*T2^14 + 1017*T1^8*T2^14 + 1242*T1^9*T2^14 - 
     2867*T1^10*T2^14 + 2875*T1^11*T2^14 - 475*T1^12*T2^14 - 
     2086*T1^13*T2^14 + 3513*T1^14*T2^14 - 2135*T1^15*T2^14 + 
     632*T1^16*T2^14 - 204*T1^7*T2^15 + 772*T1^8*T2^15 - 1415*T1^9*T2^15 + 
     1086*T1^10*T2^15 + 137*T1^11*T2^15 - 1683*T1^12*T2^15 + 
     2446*T1^13*T2^15 - 2135*T1^14*T2^15 + 1012*T1^15*T2^15 - 
     244*T1^16*T2^15 + 49*T1^8*T2^16 - 244*T1^9*T2^16 + 632*T1^10*T2^16 - 
     1018*T1^11*T2^16 + 1187*T1^12*T2^16 - 1018*T1^13*T2^16 + 
     632*T1^14*T2^16 - 244*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 957] -> 
  {((2 - 3*T + 2*T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-112 + 564*T1 - 1332*T1^2 + 1736*T1^3 - 1332*T1^4 + 564*T1^5 - 112*T1^6 + 
     564*T2 - 2592*T1*T2 + 5458*T1^2*T2 - 5788*T1^3*T2 + 2852*T1^4*T2 + 
     98*T1^5*T2 - 672*T1^6*T2 + 244*T1^7*T2 - 1332*T2^2 + 5458*T1*T2^2 - 
     9430*T1^2*T2^2 + 5151*T1^3*T2^2 + 5138*T1^4*T2^2 - 10265*T1^5*T2^2 + 
     6738*T1^6*T2^2 - 2062*T1^7*T2^2 + 172*T1^8*T2^2 + 1736*T2^3 - 
     5788*T1*T2^3 + 5151*T1^2*T2^3 + 10546*T1^3*T2^3 - 28117*T1^4*T2^3 + 
     24359*T1^5*T2^3 - 4854*T1^6*T2^3 - 6693*T1^7*T2^3 + 5092*T1^8*T2^3 - 
     1192*T1^9*T2^3 - 1332*T2^4 + 2852*T1*T2^4 + 5138*T1^2*T2^4 - 
     28117*T1^3*T2^4 + 37671*T1^4*T2^4 - 6267*T1^5*T2^4 - 30033*T1^6*T2^4 + 
     30931*T1^7*T2^4 - 8318*T1^8*T2^4 - 2428*T1^9*T2^4 + 1676*T1^10*T2^4 + 
     564*T2^5 + 98*T1*T2^5 - 10265*T1^2*T2^5 + 24359*T1^3*T2^5 - 
     6267*T1^4*T2^5 - 53987*T1^5*T2^5 + 76309*T1^6*T2^5 - 33856*T1^7*T2^5 - 
     14973*T1^8*T2^5 + 15867*T1^9*T2^5 - 3182*T1^10*T2^5 - 1036*T1^11*T2^5 - 
     112*T2^6 - 672*T1*T2^6 + 6738*T1^2*T2^6 - 4854*T1^3*T2^6 - 
     30033*T1^4*T2^6 + 76309*T1^5*T2^6 - 41688*T1^6*T2^6 - 37949*T1^7*T2^6 + 
     66853*T1^8*T2^6 - 23870*T1^9*T2^6 - 3078*T1^10*T2^6 + 3808*T1^11*T2^6 + 
     272*T1^12*T2^6 + 244*T1*T2^7 - 2062*T1^2*T2^7 - 6693*T1^3*T2^7 + 
     30931*T1^4*T2^7 - 33856*T1^5*T2^7 - 37949*T1^6*T2^7 + 92347*T1^7*T2^7 - 
     61445*T1^8*T2^7 - 8401*T1^9*T2^7 + 19439*T1^10*T2^7 - 5342*T1^11*T2^7 - 
     1356*T1^12*T2^7 + 172*T1^2*T2^8 + 5092*T1^3*T2^8 - 8318*T1^4*T2^8 - 
     14973*T1^5*T2^8 + 66853*T1^6*T2^8 - 61445*T1^7*T2^8 - 851*T1^8*T2^8 + 
     44075*T1^9*T2^8 - 21774*T1^10*T2^8 - 188*T1^11*T2^8 + 3180*T1^12*T2^8 - 
     1192*T1^3*T2^9 - 2428*T1^4*T2^9 + 15867*T1^5*T2^9 - 23870*T1^6*T2^9 - 
     8401*T1^7*T2^9 + 44075*T1^8*T2^9 - 39270*T1^9*T2^9 + 4023*T1^10*T2^9 + 
     8452*T1^11*T2^9 - 4120*T1^12*T2^9 + 1676*T1^4*T2^10 - 3182*T1^5*T2^10 - 
     3078*T1^6*T2^10 + 19439*T1^7*T2^10 - 21774*T1^8*T2^10 + 
     4023*T1^9*T2^10 + 13090*T1^10*T2^10 - 10702*T1^11*T2^10 + 
     3180*T1^12*T2^10 - 1036*T1^5*T2^11 + 3808*T1^6*T2^11 - 5342*T1^7*T2^11 - 
     188*T1^8*T2^11 + 8452*T1^9*T2^11 - 10702*T1^10*T2^11 + 
     5728*T1^11*T2^11 - 1356*T1^12*T2^11 + 272*T1^6*T2^12 - 1356*T1^7*T2^12 + 
     3180*T1^8*T2^12 - 4120*T1^9*T2^12 + 3180*T1^10*T2^12 - 
     1356*T1^11*T2^12 + 272*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 958] -> 
  {(2 - 10*T + 25*T^2 - 39*T^3 + 45*T^4 - 39*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-15 + 76*T1 - 192*T1^2 + 302*T1^3 - 349*T1^4 + 302*T1^5 - 
     192*T1^6 + 76*T1^7 - 15*T1^8 + 76*T2 - 348*T1*T2 + 785*T1^2*T2 - 
     1054*T1^3*T2 + 1017*T1^4*T2 - 663*T1^5*T2 + 226*T1^6*T2 + 85*T1^7*T2 - 
     108*T1^8*T2 + 36*T1^9*T2 - 192*T2^2 + 785*T1*T2^2 - 1515*T1^2*T2^2 + 
     1502*T1^3*T2^2 - 782*T1^4*T2^2 - 369*T1^5*T2^2 + 1218*T1^6*T2^2 - 
     1398*T1^7*T2^2 + 785*T1^8*T2^2 - 215*T1^9*T2^2 + 8*T1^10*T2^2 + 
     302*T2^3 - 1054*T1*T2^3 + 1502*T1^2*T2^3 - 290*T1^3*T2^3 - 
     1567*T1^4*T2^3 + 3024*T1^5*T2^3 - 3000*T1^6*T2^3 + 1563*T1^7*T2^3 + 
     554*T1^8*T2^3 - 1348*T1^9*T2^3 + 786*T1^10*T2^3 - 166*T1^11*T2^3 - 
     349*T2^4 + 1017*T1*T2^4 - 782*T1^2*T2^4 - 1567*T1^3*T2^4 + 
     3316*T1^4*T2^4 - 3009*T1^5*T2^4 + 798*T1^6*T2^4 + 2151*T1^7*T2^4 - 
     3824*T1^8*T2^4 + 2333*T1^9*T2^4 + 418*T1^10*T2^4 - 1023*T1^11*T2^4 + 
     371*T1^12*T2^4 + 302*T2^5 - 663*T1*T2^5 - 369*T1^2*T2^5 + 
     3024*T1^3*T2^5 - 3009*T1^4*T2^5 - 189*T1^5*T2^5 + 3475*T1^6*T2^5 - 
     5675*T1^7*T2^5 + 3951*T1^8*T2^5 + 666*T1^9*T2^5 - 3816*T1^10*T2^5 + 
     1431*T1^11*T2^5 + 537*T1^12*T2^5 - 478*T1^13*T2^5 - 192*T2^6 + 
     226*T1*T2^6 + 1218*T1^2*T2^6 - 3000*T1^3*T2^6 + 798*T1^4*T2^6 + 
     3475*T1^5*T2^6 - 4061*T1^6*T2^6 + 2979*T1^7*T2^6 + 2599*T1^8*T2^6 - 
     6395*T1^9*T2^6 + 5208*T1^10*T2^6 + 1800*T1^11*T2^6 - 2382*T1^12*T2^6 + 
     346*T1^13*T2^6 + 408*T1^14*T2^6 + 76*T2^7 + 85*T1*T2^7 - 
     1398*T1^2*T2^7 + 1563*T1^3*T2^7 + 2151*T1^4*T2^7 - 5675*T1^5*T2^7 + 
     2979*T1^6*T2^7 - 1346*T1^7*T2^7 - 3636*T1^8*T2^7 + 2174*T1^9*T2^7 + 
     2035*T1^10*T2^7 - 7464*T1^11*T2^7 + 1513*T1^12*T2^7 + 1752*T1^13*T2^7 - 
     1015*T1^14*T2^7 - 204*T1^15*T2^7 - 15*T2^8 - 108*T1*T2^8 + 
     785*T1^2*T2^8 + 554*T1^3*T2^8 - 3824*T1^4*T2^8 + 3951*T1^5*T2^8 + 
     2599*T1^6*T2^8 - 3636*T1^7*T2^8 + 7008*T1^8*T2^8 - 1816*T1^9*T2^8 - 
     719*T1^10*T2^8 + 2169*T1^11*T2^8 + 6296*T1^12*T2^8 - 4610*T1^13*T2^8 + 
     585*T1^14*T2^8 + 772*T1^15*T2^8 + 49*T1^16*T2^8 + 36*T1*T2^9 - 
     215*T1^2*T2^9 - 1348*T1^3*T2^9 + 2333*T1^4*T2^9 + 666*T1^5*T2^9 - 
     6395*T1^6*T2^9 + 2174*T1^7*T2^9 - 1816*T1^8*T2^9 - 4106*T1^9*T2^9 + 
     1369*T1^10*T2^9 + 1315*T1^11*T2^9 - 8949*T1^12*T2^9 + 2283*T1^13*T2^9 + 
     1802*T1^14*T2^9 - 1315*T1^15*T2^9 - 244*T1^16*T2^9 + 8*T1^2*T2^10 + 
     786*T1^3*T2^10 + 418*T1^4*T2^10 - 3816*T1^5*T2^10 + 5208*T1^6*T2^10 + 
     2035*T1^7*T2^10 - 719*T1^8*T2^10 + 1369*T1^9*T2^10 + 5941*T1^10*T2^10 - 
     7835*T1^11*T2^10 + 9618*T1^12*T2^10 + 984*T1^13*T2^10 - 
     3182*T1^14*T2^10 + 906*T1^15*T2^10 + 608*T1^16*T2^10 - 166*T1^3*T2^11 - 
     1023*T1^4*T2^11 + 1431*T1^5*T2^11 + 1800*T1^6*T2^11 - 7464*T1^7*T2^11 + 
     2169*T1^8*T2^11 + 1315*T1^9*T2^11 - 7835*T1^10*T2^11 + 
     6309*T1^11*T2^11 - 3789*T1^12*T2^11 - 5040*T1^13*T2^11 + 
     3231*T1^14*T2^11 + 177*T1^15*T2^11 - 946*T1^16*T2^11 + 371*T1^4*T2^12 + 
     537*T1^5*T2^12 - 2382*T1^6*T2^12 + 1513*T1^7*T2^12 + 6296*T1^8*T2^12 - 
     8949*T1^9*T2^12 + 9618*T1^10*T2^12 - 3789*T1^11*T2^12 - 
     844*T1^12*T2^12 + 5413*T1^13*T2^12 - 1182*T1^14*T2^12 - 
     1503*T1^15*T2^12 + 1091*T1^16*T2^12 - 478*T1^5*T2^13 + 346*T1^6*T2^13 + 
     1752*T1^7*T2^13 - 4610*T1^8*T2^13 + 2283*T1^9*T2^13 + 984*T1^10*T2^13 - 
     5040*T1^11*T2^13 + 5413*T1^12*T2^13 - 3766*T1^13*T2^13 - 
     1098*T1^14*T2^13 + 2186*T1^15*T2^13 - 946*T1^16*T2^13 + 408*T1^6*T2^14 - 
     1015*T1^7*T2^14 + 585*T1^8*T2^14 + 1802*T1^9*T2^14 - 3182*T1^10*T2^14 + 
     3231*T1^11*T2^14 - 1182*T1^12*T2^14 - 1098*T1^13*T2^14 + 
     2885*T1^14*T2^14 - 2015*T1^15*T2^14 + 608*T1^16*T2^14 - 204*T1^7*T2^15 + 
     772*T1^8*T2^15 - 1315*T1^9*T2^15 + 906*T1^10*T2^15 + 177*T1^11*T2^15 - 
     1503*T1^12*T2^15 + 2186*T1^13*T2^15 - 2015*T1^14*T2^15 + 
     1012*T1^15*T2^15 - 244*T1^16*T2^15 + 49*T1^8*T2^16 - 244*T1^9*T2^16 + 
     608*T1^10*T2^16 - 946*T1^11*T2^16 + 1091*T1^12*T2^16 - 946*T1^13*T2^16 + 
     608*T1^14*T2^16 - 244*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 959] -> 
  {(4 - 21*T + 50*T^2 - 65*T^3 + 50*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (-112 + 596*T1 - 1428*T1^2 + 1864*T1^3 - 1428*T1^4 + 596*T1^5 - 112*T1^6 + 
     596*T2 - 2906*T1*T2 + 6178*T1^2*T2 - 6510*T1^3*T2 + 3150*T1^4*T2 + 
     214*T1^5*T2 - 806*T1^6*T2 + 260*T1^7*T2 - 1428*T2^2 + 6178*T1*T2^2 - 
     10459*T1^2*T2^2 + 4823*T1^3*T2^2 + 7283*T1^4*T2^2 - 12777*T1^5*T2^2 + 
     7941*T1^6*T2^2 - 2222*T1^7*T2^2 + 172*T1^8*T2^2 + 1864*T2^3 - 
     6510*T1*T2^3 + 4823*T1^2*T2^3 + 15066*T1^3*T2^3 - 35565*T1^4*T2^3 + 
     29805*T1^5*T2^3 - 5664*T1^6*T2^3 - 7927*T1^7*T2^3 + 5670*T1^8*T2^3 - 
     1256*T1^9*T2^3 - 1428*T2^4 + 3150*T1*T2^4 + 7283*T1^2*T2^4 - 
     35565*T1^3*T2^4 + 45346*T1^4*T2^4 - 5856*T1^5*T2^4 - 37974*T1^6*T2^4 + 
     38015*T1^7*T2^4 - 10047*T1^8*T2^4 - 2730*T1^9*T2^4 + 1772*T1^10*T2^4 + 
     596*T2^5 + 214*T1*T2^5 - 12777*T1^2*T2^5 + 29805*T1^3*T2^5 - 
     5856*T1^4*T2^5 - 67566*T1^5*T2^5 + 93034*T1^6*T2^5 - 40256*T1^7*T2^5 - 
     19145*T1^8*T2^5 + 19373*T1^9*T2^5 - 3566*T1^10*T2^5 - 1084*T1^11*T2^5 - 
     112*T2^6 - 806*T1*T2^6 + 7941*T1^2*T2^6 - 5664*T1^3*T2^6 - 
     37974*T1^4*T2^6 + 93034*T1^5*T2^6 - 48912*T1^6*T2^6 - 47838*T1^7*T2^6 + 
     82166*T1^8*T2^6 - 28704*T1^9*T2^6 - 4303*T1^10*T2^6 + 4234*T1^11*T2^6 + 
     272*T1^12*T2^6 + 260*T1*T2^7 - 2222*T1^2*T2^7 - 7927*T1^3*T2^7 + 
     38015*T1^4*T2^7 - 40256*T1^5*T2^7 - 47838*T1^6*T2^7 + 112762*T1^7*T2^7 - 
     74656*T1^8*T2^7 - 10935*T1^9*T2^7 + 24223*T1^10*T2^7 - 6002*T1^11*T2^7 - 
     1420*T1^12*T2^7 + 172*T1^2*T2^8 + 5670*T1^3*T2^8 - 10047*T1^4*T2^8 - 
     19145*T1^5*T2^8 + 82166*T1^6*T2^8 - 74656*T1^7*T2^8 - 1154*T1^8*T2^8 + 
     54435*T1^9*T2^8 - 27377*T1^10*T2^8 - 210*T1^11*T2^8 + 3372*T1^12*T2^8 - 
     1256*T1^3*T2^9 - 2730*T1^4*T2^9 + 19373*T1^5*T2^9 - 28704*T1^6*T2^9 - 
     10935*T1^7*T2^9 + 54435*T1^8*T2^9 - 49434*T1^9*T2^9 + 6623*T1^10*T2^9 + 
     9450*T1^11*T2^9 - 4376*T1^12*T2^9 + 1772*T1^4*T2^10 - 3566*T1^5*T2^10 - 
     4303*T1^6*T2^10 + 24223*T1^7*T2^10 - 27377*T1^8*T2^10 + 
     6623*T1^9*T2^10 + 14097*T1^10*T2^10 - 11966*T1^11*T2^10 + 
     3372*T1^12*T2^10 - 1084*T1^5*T2^11 + 4234*T1^6*T2^11 - 6002*T1^7*T2^11 - 
     210*T1^8*T2^11 + 9450*T1^9*T2^11 - 11966*T1^10*T2^11 + 
     6334*T1^11*T2^11 - 1420*T1^12*T2^11 + 272*T1^6*T2^12 - 1420*T1^7*T2^12 + 
     3372*T1^8*T2^12 - 4376*T1^9*T2^12 + 3372*T1^10*T2^12 - 
     1420*T1^11*T2^12 + 272*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 960] -> 
  {-((4 - 25*T + 66*T^2 - 91*T^3 + 66*T^4 - 25*T^5 + 4*T^6)/T^3), 
   (-2*(4 - 25*T1 + 66*T1^2 - 91*T1^3 + 66*T1^4 - 25*T1^5 + 4*T1^6)*
     (1 + T1*T2)*(6 - 25*T1*T2 + 39*T1^2*T2^2 - 25*T1^3*T2^3 + 6*T1^4*T2^4)*
     (4 - 25*T2 + 66*T2^2 - 91*T2^3 + 66*T2^4 - 25*T2^5 + 4*T2^6))/
    (T1^7*T2^6)}, Knot[12, Alternating, 961] -> 
  {(1 - 9*T + 31*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 31*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 124*T1^2 + 240*T1^3 - 300*T1^4 + 240*T1^5 - 124*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 872*T1^2*T2 - 1320*T1^3*T2 + 
     1078*T1^4*T2 - 137*T1^5*T2 - 501*T1^6*T2 + 512*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 124*T2^2 + 872*T1*T2^2 - 1710*T1^2*T2^2 + 447*T1^3*T2^2 + 
     3361*T1^4*T2^2 - 7050*T1^5*T2^2 + 6089*T1^6*T2^2 - 2715*T1^7*T2^2 + 
     150*T1^8*T2^2 + 314*T1^9*T2^2 - 62*T1^10*T2^2 + 240*T2^3 - 
     1320*T1*T2^3 + 447*T1^2*T2^3 + 6599*T1^3*T2^3 - 15411*T1^4*T2^3 + 
     16701*T1^5*T2^3 - 4584*T1^6*T2^3 - 5142*T1^7*T2^3 + 6419*T1^8*T2^3 - 
     2343*T1^9*T2^3 + 21*T1^10*T2^3 + 60*T1^11*T2^3 - 300*T2^4 + 
     1078*T1*T2^4 + 3361*T1^2*T2^4 - 15411*T1^3*T2^4 + 19824*T1^4*T2^4 - 
     4864*T1^5*T2^4 - 23722*T1^6*T2^4 + 27356*T1^7*T2^4 - 13056*T1^8*T2^4 - 
     1011*T1^9*T2^4 + 2941*T1^10*T2^4 - 542*T1^11*T2^4 + 240*T2^5 - 
     137*T1*T2^5 - 7050*T1^2*T2^5 + 16701*T1^3*T2^5 - 4864*T1^4*T2^5 - 
     27957*T1^5*T2^5 + 53640*T1^6*T2^5 - 25185*T1^7*T2^5 - 10497*T1^8*T2^5 + 
     21761*T1^9*T2^5 - 9474*T1^10*T2^5 + 15*T1^11*T2^5 + 538*T1^12*T2^5 - 
     60*T1^13*T2^5 - 124*T2^6 - 501*T1*T2^6 + 6089*T1^2*T2^6 - 
     4584*T1^3*T2^6 - 23722*T1^4*T2^6 + 53640*T1^5*T2^6 - 44156*T1^6*T2^6 - 
     23412*T1^7*T2^6 + 55864*T1^8*T2^6 - 34830*T1^9*T2^6 + 128*T1^10*T2^6 + 
     9366*T1^11*T2^6 - 2935*T1^12*T2^6 - 15*T1^13*T2^6 + 62*T1^14*T2^6 + 
     36*T2^7 + 512*T1*T2^7 - 2715*T1^2*T2^7 - 5142*T1^3*T2^7 + 
     27356*T1^4*T2^7 - 25185*T1^5*T2^7 - 23412*T1^6*T2^7 + 86684*T1^7*T2^7 - 
     68206*T1^8*T2^7 + 510*T1^9*T2^7 + 34350*T1^10*T2^7 - 21649*T1^11*T2^7 + 
     1113*T1^12*T2^7 + 2307*T1^13*T2^7 - 316*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 150*T1^2*T2^8 + 6419*T1^3*T2^8 - 
     13056*T1^4*T2^8 - 10497*T1^5*T2^8 + 55864*T1^6*T2^8 - 68206*T1^7*T2^8 + 
     1512*T1^8*T2^8 + 67058*T1^9*T2^8 - 55792*T1^10*T2^8 + 10833*T1^11*T2^8 + 
     12748*T1^12*T2^8 - 6391*T1^13*T2^8 - 132*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 314*T1^2*T2^9 - 2343*T1^3*T2^9 - 
     1011*T1^4*T2^9 + 21761*T1^5*T2^9 - 34830*T1^6*T2^9 + 510*T1^7*T2^9 + 
     67058*T1^8*T2^9 - 87832*T1^9*T2^9 + 24432*T1^10*T2^9 + 
     24705*T1^11*T2^9 - 27244*T1^12*T2^9 + 5244*T1^13*T2^9 + 
     2679*T1^14*T2^9 - 514*T1^15*T2^9 - 36*T1^16*T2^9 - 62*T1^2*T2^10 + 
     21*T1^3*T2^10 + 2941*T1^4*T2^10 - 9474*T1^5*T2^10 + 128*T1^6*T2^10 + 
     34350*T1^7*T2^10 - 55792*T1^8*T2^10 + 24432*T1^9*T2^10 + 
     44228*T1^10*T2^10 - 54120*T1^11*T2^10 + 23978*T1^12*T2^10 + 
     4476*T1^13*T2^10 - 6083*T1^14*T2^10 + 507*T1^15*T2^10 + 
     124*T1^16*T2^10 + 60*T1^3*T2^11 - 542*T1^4*T2^11 + 15*T1^5*T2^11 + 
     9366*T1^6*T2^11 - 21649*T1^7*T2^11 + 10833*T1^8*T2^11 + 
     24705*T1^9*T2^11 - 54120*T1^10*T2^11 + 28293*T1^11*T2^11 + 
     4976*T1^12*T2^11 - 16809*T1^13*T2^11 + 7080*T1^14*T2^11 + 
     133*T1^15*T2^11 - 240*T1^16*T2^11 + 538*T1^5*T2^12 - 2935*T1^6*T2^12 + 
     1113*T1^7*T2^12 + 12748*T1^8*T2^12 - 27244*T1^9*T2^12 + 
     23978*T1^10*T2^12 + 4976*T1^11*T2^12 - 20132*T1^12*T2^12 + 
     15513*T1^13*T2^12 - 3355*T1^14*T2^12 - 1082*T1^15*T2^12 + 
     300*T1^16*T2^12 - 60*T1^5*T2^13 - 15*T1^6*T2^13 + 2307*T1^7*T2^13 - 
     6391*T1^8*T2^13 + 5244*T1^9*T2^13 + 4476*T1^10*T2^13 - 
     16809*T1^11*T2^13 + 15513*T1^12*T2^13 - 6571*T1^13*T2^13 - 
     483*T1^14*T2^13 + 1326*T1^15*T2^13 - 240*T1^16*T2^13 + 62*T1^6*T2^14 - 
     316*T1^7*T2^14 - 132*T1^8*T2^14 + 2679*T1^9*T2^14 - 6083*T1^10*T2^14 + 
     7080*T1^11*T2^14 - 3355*T1^12*T2^14 - 483*T1^13*T2^14 + 
     1728*T1^14*T2^14 - 874*T1^15*T2^14 + 124*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 514*T1^9*T2^15 + 507*T1^10*T2^15 + 133*T1^11*T2^15 - 
     1082*T1^12*T2^15 + 1326*T1^13*T2^15 - 874*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     124*T1^10*T2^16 - 240*T1^11*T2^16 + 300*T1^12*T2^16 - 240*T1^13*T2^16 + 
     124*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 962] -> 
  {-((1 - 9*T + 28*T^2 - 51*T^3 + 61*T^4 - 51*T^5 + 28*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 140*T1^2 + 255*T1^3 - 305*T1^4 + 255*T1^5 - 
      140*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 936*T1^2*T2 - 
      1286*T1^3*T2 + 908*T1^4*T2 - 100*T1^5*T2 - 575*T1^6*T2 + 603*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 140*T2^2 + 936*T1*T2^2 - 1086*T1^2*T2^2 - 
      1191*T1^3*T2^2 + 5648*T1^4*T2^2 - 8348*T1^5*T2^2 + 7496*T1^6*T2^2 - 
      3543*T1^7*T2^2 + 426*T1^8*T2^2 + 432*T1^9*T2^2 - 84*T1^10*T2^2 + 
      255*T2^3 - 1286*T1*T2^3 - 1191*T1^2*T2^3 + 8609*T1^3*T2^3 - 
      15706*T1^4*T2^3 + 12826*T1^5*T2^3 - 3311*T1^6*T2^3 - 6508*T1^7*T2^3 + 
      7241*T1^8*T2^3 - 2955*T1^9*T2^3 - 161*T1^10*T2^3 + 102*T1^11*T2^3 - 
      305*T2^4 + 908*T1*T2^4 + 5648*T1^2*T2^4 - 15706*T1^3*T2^4 + 
      17012*T1^4*T2^4 - 439*T1^5*T2^4 - 15022*T1^6*T2^4 + 19607*T1^7*T2^4 - 
      6904*T1^8*T2^4 - 3364*T1^9*T2^4 + 4218*T1^10*T2^4 - 370*T1^11*T2^4 - 
      61*T1^12*T2^4 + 255*T2^5 - 100*T1*T2^5 - 8348*T1^2*T2^5 + 
      12826*T1^3*T2^5 - 439*T1^4*T2^5 - 24766*T1^5*T2^5 + 27678*T1^6*T2^5 - 
      11580*T1^7*T2^5 - 13984*T1^8*T2^5 + 16814*T1^9*T2^5 - 6005*T1^10*T2^5 - 
      2093*T1^11*T2^5 + 548*T1^12*T2^5 - 140*T2^6 - 575*T1*T2^6 + 
      7496*T1^2*T2^6 - 3311*T1^3*T2^6 - 15022*T1^4*T2^6 + 27678*T1^5*T2^6 - 
      3812*T1^6*T2^6 - 24216*T1^7*T2^6 + 36340*T1^8*T2^6 - 14202*T1^9*T2^6 - 
      6178*T1^10*T2^6 + 8785*T1^11*T2^6 - 908*T1^12*T2^6 - 251*T1^13*T2^6 + 
      28*T1^14*T2^6 + 45*T2^7 + 603*T1*T2^7 - 3543*T1^2*T2^7 - 
      6508*T1^3*T2^7 + 19607*T1^4*T2^7 - 11580*T1^5*T2^7 - 24216*T1^6*T2^7 + 
      36680*T1^7*T2^7 - 19306*T1^8*T2^7 - 14571*T1^9*T2^7 + 
      22434*T1^10*T2^7 - 8818*T1^11*T2^7 - 3130*T1^12*T2^7 + 
      1749*T1^13*T2^7 - 90*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 426*T1^2*T2^8 + 7241*T1^3*T2^8 - 6904*T1^4*T2^8 - 
      13984*T1^5*T2^8 + 36340*T1^6*T2^8 - 19306*T1^7*T2^8 - 14952*T1^8*T2^8 + 
      33698*T1^9*T2^8 - 18546*T1^10*T2^8 - 4228*T1^11*T2^8 + 
      9788*T1^12*T2^8 - 2581*T1^13*T2^8 - 588*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 432*T1^2*T2^9 - 2955*T1^3*T2^9 - 
      3364*T1^4*T2^9 + 16814*T1^5*T2^9 - 14202*T1^6*T2^9 - 14571*T1^7*T2^9 + 
      33698*T1^8*T2^9 - 22288*T1^9*T2^9 - 4926*T1^10*T2^9 + 
      19812*T1^11*T2^9 - 11611*T1^12*T2^9 + 14*T1^13*T2^9 + 2337*T1^14*T2^9 - 
      261*T1^15*T2^9 - 27*T1^16*T2^9 - 84*T1^2*T2^10 - 161*T1^3*T2^10 + 
      4218*T1^4*T2^10 - 6005*T1^5*T2^10 - 6178*T1^6*T2^10 + 
      22434*T1^7*T2^10 - 18546*T1^8*T2^10 - 4926*T1^9*T2^10 + 
      21606*T1^10*T2^10 - 19446*T1^11*T2^10 + 2666*T1^12*T2^10 + 
      6091*T1^13*T2^10 - 4186*T1^14*T2^10 + 163*T1^15*T2^10 + 
      84*T1^16*T2^10 + 102*T1^3*T2^11 - 370*T1^4*T2^11 - 2093*T1^5*T2^11 + 
      8785*T1^6*T2^11 - 8818*T1^7*T2^11 - 4228*T1^8*T2^11 + 
      19812*T1^9*T2^11 - 19446*T1^10*T2^11 + 6554*T1^11*T2^11 + 
      8435*T1^12*T2^11 - 10046*T1^13*T2^11 + 4162*T1^14*T2^11 + 
      278*T1^15*T2^11 - 153*T1^16*T2^11 - 61*T1^4*T2^12 + 548*T1^5*T2^12 - 
      908*T1^6*T2^12 - 3130*T1^7*T2^12 + 9788*T1^8*T2^12 - 11611*T1^9*T2^12 + 
      2666*T1^10*T2^12 + 8435*T1^11*T2^12 - 14128*T1^12*T2^12 + 
      9212*T1^13*T2^12 - 2338*T1^14*T2^12 - 730*T1^15*T2^12 + 
      183*T1^16*T2^12 - 251*T1^6*T2^13 + 1749*T1^7*T2^13 - 2581*T1^8*T2^13 + 
      14*T1^9*T2^13 + 6091*T1^10*T2^13 - 10046*T1^11*T2^13 + 
      9212*T1^12*T2^13 - 3949*T1^13*T2^13 - 15*T1^14*T2^13 + 
      874*T1^15*T2^13 - 153*T1^16*T2^13 + 28*T1^6*T2^14 - 90*T1^7*T2^14 - 
      588*T1^8*T2^14 + 2337*T1^9*T2^14 - 4186*T1^10*T2^14 + 
      4162*T1^11*T2^14 - 2338*T1^12*T2^14 - 15*T1^13*T2^14 + 
      924*T1^14*T2^14 - 594*T1^15*T2^14 + 84*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 261*T1^9*T2^15 + 163*T1^10*T2^15 + 278*T1^11*T2^15 - 
      730*T1^12*T2^15 + 874*T1^13*T2^15 - 594*T1^14*T2^15 + 225*T1^15*T2^15 - 
      27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 84*T1^10*T2^16 - 
      153*T1^11*T2^16 + 183*T1^12*T2^16 - 153*T1^13*T2^16 + 84*T1^14*T2^16 - 
      27*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 963] -> 
  {-((5 - 24*T + 50*T^2 - 63*T^3 + 50*T^4 - 24*T^5 + 5*T^6)/T^3), 
   -((-355 + 1700*T1 - 3529*T1^2 + 4431*T1^3 - 3529*T1^4 + 1700*T1^5 - 
      355*T1^6 + 1700*T2 - 7036*T1*T2 + 11629*T1^2*T2 - 10317*T1^3*T2 + 
      3243*T1^4*T2 + 2749*T1^5*T2 - 3556*T1^6*T2 + 1100*T1^7*T2 - 3529*T2^2 + 
      11629*T1*T2^2 - 10848*T1^2*T2^2 - 3630*T1^3*T2^2 + 20870*T1^4*T2^2 - 
      23130*T1^5*T2^2 + 11652*T1^6*T2^2 - 371*T1^7*T2^2 - 1029*T1^8*T2^2 + 
      4431*T2^3 - 10317*T1*T2^3 - 3630*T1^2*T2^3 + 30789*T1^3*T2^3 - 
      42993*T1^4*T2^3 + 22677*T1^5*T2^3 + 6249*T1^6*T2^3 - 16080*T1^7*T2^3 + 
      6363*T1^8*T2^3 - 294*T1^9*T2^3 - 3529*T2^4 + 3243*T1*T2^4 + 
      20870*T1^2*T2^4 - 42993*T1^3*T2^4 + 25691*T1^4*T2^4 + 21779*T1^5*T2^4 - 
      47245*T1^6*T2^4 + 30087*T1^7*T2^4 - 1706*T1^8*T2^4 - 5637*T1^9*T2^4 + 
      1471*T1^10*T2^4 + 1700*T2^5 + 2749*T1*T2^5 - 23130*T1^2*T2^5 + 
      22677*T1^3*T2^5 + 21779*T1^4*T2^5 - 60662*T1^5*T2^5 + 46288*T1^6*T2^5 + 
      3479*T1^7*T2^5 - 28173*T1^8*T2^5 + 17520*T1^9*T2^5 - 851*T1^10*T2^5 - 
      1300*T1^11*T2^5 - 355*T2^6 - 3556*T1*T2^6 + 11652*T1^2*T2^6 + 
      6249*T1^3*T2^6 - 47245*T1^4*T2^6 + 46288*T1^5*T2^6 + 2172*T1^6*T2^6 - 
      48632*T1^7*T2^6 + 40103*T1^8*T2^6 - 8001*T1^9*T2^6 - 11144*T1^10*T2^6 + 
      4364*T1^11*T2^6 + 395*T1^12*T2^6 + 1100*T1*T2^7 - 371*T1^2*T2^7 - 
      16080*T1^3*T2^7 + 30087*T1^4*T2^7 + 3479*T1^5*T2^7 - 48632*T1^6*T2^7 + 
      58318*T1^7*T2^7 - 14821*T1^8*T2^7 - 20763*T1^9*T2^7 + 
      24570*T1^10*T2^7 - 3971*T1^11*T2^7 - 1900*T1^12*T2^7 - 1029*T1^2*T2^8 + 
      6363*T1^3*T2^8 - 1706*T1^4*T2^8 - 28173*T1^5*T2^8 + 40103*T1^6*T2^8 - 
      14821*T1^7*T2^8 - 32833*T1^8*T2^8 + 44907*T1^9*T2^8 - 
      24282*T1^10*T2^8 - 2517*T1^11*T2^8 + 3971*T1^12*T2^8 - 294*T1^3*T2^9 - 
      5637*T1^4*T2^9 + 17520*T1^5*T2^9 - 8001*T1^6*T2^9 - 20763*T1^7*T2^9 + 
      44907*T1^8*T2^9 - 32541*T1^9*T2^9 + 5070*T1^10*T2^9 + 
      11043*T1^11*T2^9 - 5019*T1^12*T2^9 + 1471*T1^4*T2^10 - 851*T1^5*T2^10 - 
      11144*T1^6*T2^10 + 24570*T1^7*T2^10 - 24282*T1^8*T2^10 + 
      5070*T1^9*T2^10 + 11356*T1^10*T2^10 - 12851*T1^11*T2^10 + 
      3971*T1^12*T2^10 - 1300*T1^5*T2^11 + 4364*T1^6*T2^11 - 
      3971*T1^7*T2^11 - 2517*T1^8*T2^11 + 11043*T1^9*T2^11 - 
      12851*T1^10*T2^11 + 7844*T1^11*T2^11 - 1900*T1^12*T2^11 + 
      395*T1^6*T2^12 - 1900*T1^7*T2^12 + 3971*T1^8*T2^12 - 5019*T1^9*T2^12 + 
      3971*T1^10*T2^12 - 1900*T1^11*T2^12 + 395*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 964] -> 
  {-((1 - 9*T + 30*T^2 - 55*T^3 + 65*T^4 - 55*T^5 + 30*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 90*T1^2 + 165*T1^3 - 195*T1^4 + 165*T1^5 - 
      90*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 649*T1^2*T2 - 
      947*T1^3*T2 + 766*T1^4*T2 - 314*T1^5*T2 - 182*T1^6*T2 + 298*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 90*T2^2 + 649*T1*T2^2 - 1280*T1^2*T2^2 + 
      372*T1^3*T2^2 + 2151*T1^4*T2^2 - 3918*T1^5*T2^2 + 4251*T1^6*T2^2 - 
      2388*T1^7*T2^2 + 460*T1^8*T2^2 + 109*T1^9*T2^2 - 30*T1^10*T2^2 + 
      165*T2^3 - 947*T1*T2^3 + 372*T1^2*T2^3 + 4679*T1^3*T2^3 - 
      10846*T1^4*T2^3 + 11126*T1^5*T2^3 - 7249*T1^6*T2^3 - 106*T1^7*T2^3 + 
      3389*T1^8*T2^3 - 1878*T1^9*T2^3 + 268*T1^10*T2^3 - 195*T2^4 + 
      766*T1*T2^4 + 2151*T1^2*T2^4 - 10846*T1^3*T2^4 + 14873*T1^4*T2^4 - 
      5076*T1^5*T2^4 - 7007*T1^6*T2^4 + 17614*T1^7*T2^4 - 14027*T1^8*T2^4 + 
      3564*T1^9*T2^4 + 1041*T1^10*T2^4 - 584*T1^11*T2^4 + 65*T1^12*T2^4 + 
      165*T2^5 - 314*T1*T2^5 - 3918*T1^2*T2^5 + 11126*T1^3*T2^5 - 
      5076*T1^4*T2^5 - 17286*T1^5*T2^5 + 29780*T1^6*T2^5 - 29770*T1^7*T2^5 + 
      8494*T1^8*T2^5 + 10979*T1^9*T2^5 - 9899*T1^10*T2^5 + 1977*T1^11*T2^5 + 
      406*T1^12*T2^5 - 110*T1^13*T2^5 - 90*T2^6 - 182*T1*T2^6 + 
      4251*T1^2*T2^6 - 7249*T1^3*T2^6 - 7007*T1^4*T2^6 + 29780*T1^5*T2^6 - 
      26524*T1^6*T2^6 + 6402*T1^7*T2^6 + 24116*T1^8*T2^6 - 32800*T1^9*T2^6 + 
      8893*T1^10*T2^6 + 7151*T1^11*T2^6 - 4269*T1^12*T2^6 + 178*T1^13*T2^6 + 
      90*T1^14*T2^6 + 27*T2^7 + 298*T1*T2^7 - 2388*T1^2*T2^7 - 
      106*T1^3*T2^7 + 17614*T1^4*T2^7 - 29770*T1^5*T2^7 + 6402*T1^6*T2^7 + 
      23264*T1^7*T2^7 - 37006*T1^8*T2^7 + 17687*T1^9*T2^7 + 
      23720*T1^10*T2^7 - 24981*T1^11*T2^7 + 3834*T1^12*T2^7 + 
      2922*T1^13*T2^7 - 485*T1^14*T2^7 - 36*T1^15*T2^7 - 3*T2^8 - 
      135*T1*T2^8 + 460*T1^2*T2^8 + 3389*T1^3*T2^8 - 14027*T1^4*T2^8 + 
      8494*T1^5*T2^8 + 24116*T1^6*T2^8 - 37006*T1^7*T2^8 + 13092*T1^8*T2^8 + 
      23166*T1^9*T2^8 - 50274*T1^10*T2^8 + 17094*T1^11*T2^8 + 
      13313*T1^12*T2^8 - 8821*T1^13*T2^8 - 74*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 109*T1^2*T2^9 - 1878*T1^3*T2^9 + 
      3564*T1^4*T2^9 + 10979*T1^5*T2^9 - 32800*T1^6*T2^9 + 17687*T1^7*T2^9 + 
      23166*T1^8*T2^9 - 37104*T1^9*T2^9 + 28972*T1^10*T2^9 + 
      20690*T1^11*T2^9 - 31616*T1^12*T2^9 + 7504*T1^13*T2^9 + 
      3432*T1^14*T2^9 - 674*T1^15*T2^9 - 45*T1^16*T2^9 - 30*T1^2*T2^10 + 
      268*T1^3*T2^10 + 1041*T1^4*T2^10 - 9899*T1^5*T2^10 + 8893*T1^6*T2^10 + 
      23720*T1^7*T2^10 - 50274*T1^8*T2^10 + 28972*T1^9*T2^10 + 
      366*T1^10*T2^10 - 38860*T1^11*T2^10 + 24793*T1^12*T2^10 + 
      4501*T1^13*T2^10 - 7479*T1^14*T2^10 + 628*T1^15*T2^10 + 
      150*T1^16*T2^10 - 584*T1^4*T2^11 + 1977*T1^5*T2^11 + 7151*T1^6*T2^11 - 
      24981*T1^7*T2^11 + 17094*T1^8*T2^11 + 20690*T1^9*T2^11 - 
      38860*T1^10*T2^11 + 42874*T1^11*T2^11 - 8926*T1^12*T2^11 - 
      13874*T1^13*T2^11 + 7872*T1^14*T2^11 + 136*T1^15*T2^11 - 
      275*T1^16*T2^11 + 65*T1^4*T2^12 + 406*T1^5*T2^12 - 4269*T1^6*T2^12 + 
      3834*T1^7*T2^12 + 13313*T1^8*T2^12 - 31616*T1^9*T2^12 + 
      24793*T1^10*T2^12 - 8926*T1^11*T2^12 - 15587*T1^12*T2^12 + 
      18244*T1^13*T2^12 - 5379*T1^14*T2^12 - 944*T1^15*T2^12 + 
      325*T1^16*T2^12 - 110*T1^5*T2^13 + 178*T1^6*T2^13 + 2922*T1^7*T2^13 - 
      8821*T1^8*T2^13 + 7504*T1^9*T2^13 + 4501*T1^10*T2^13 - 
      13874*T1^11*T2^13 + 18244*T1^12*T2^13 - 10111*T1^13*T2^13 + 
      672*T1^14*T2^13 + 1393*T1^15*T2^13 - 275*T1^16*T2^13 + 90*T1^6*T2^14 - 
      485*T1^7*T2^14 - 74*T1^8*T2^14 + 3432*T1^9*T2^14 - 7479*T1^10*T2^14 + 
      7872*T1^11*T2^14 - 5379*T1^12*T2^14 + 672*T1^13*T2^14 + 
      1666*T1^14*T2^14 - 1025*T1^15*T2^14 + 150*T1^16*T2^14 - 36*T1^7*T2^15 + 
      279*T1^8*T2^15 - 674*T1^9*T2^15 + 628*T1^10*T2^15 + 136*T1^11*T2^15 - 
      944*T1^12*T2^15 + 1393*T1^13*T2^15 - 1025*T1^14*T2^15 + 
      369*T1^15*T2^15 - 45*T1^16*T2^15 + 5*T1^8*T2^16 - 45*T1^9*T2^16 + 
      150*T1^10*T2^16 - 275*T1^11*T2^16 + 325*T1^12*T2^16 - 275*T1^13*T2^16 + 
      150*T1^14*T2^16 - 45*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 965] -> 
  {(1 - 9*T + 32*T^2 - 65*T^3 + 83*T^4 - 65*T^5 + 32*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 128*T1^2 + 260*T1^3 - 332*T1^4 + 260*T1^5 - 128*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 908*T1^2*T2 - 1474*T1^3*T2 + 
     1232*T1^4*T2 - 100*T1^5*T2 - 601*T1^6*T2 + 539*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 128*T2^2 + 908*T1*T2^2 - 1973*T1^2*T2^2 + 1154*T1^3*T2^2 + 
     3016*T1^4*T2^2 - 7537*T1^5*T2^2 + 6280*T1^6*T2^2 - 2430*T1^7*T2^2 + 
     11*T1^8*T2^2 + 332*T1^9*T2^2 - 64*T1^10*T2^2 + 260*T2^3 - 1474*T1*T2^3 + 
     1154*T1^2*T2^3 + 5407*T1^3*T2^3 - 16307*T1^4*T2^3 + 19196*T1^5*T2^3 - 
     4513*T1^6*T2^3 - 6311*T1^7*T2^3 + 6469*T1^8*T2^3 - 2206*T1^9*T2^3 - 
     7*T1^10*T2^3 + 65*T1^11*T2^3 - 332*T2^4 + 1232*T1*T2^4 + 
     3016*T1^2*T2^4 - 16307*T1^3*T2^4 + 26012*T1^4*T2^4 - 10764*T1^5*T2^4 - 
     26408*T1^6*T2^4 + 30314*T1^7*T2^4 - 12284*T1^8*T2^4 - 1617*T1^9*T2^4 + 
     3110*T1^10*T2^4 - 586*T1^11*T2^4 + 260*T2^5 - 100*T1*T2^5 - 
     7537*T1^2*T2^5 + 19196*T1^3*T2^5 - 10764*T1^4*T2^5 - 31612*T1^5*T2^5 + 
     71224*T1^6*T2^5 - 32564*T1^7*T2^5 - 14574*T1^8*T2^5 + 24887*T1^9*T2^5 - 
     10591*T1^10*T2^5 + 152*T1^11*T2^5 + 584*T1^12*T2^5 - 65*T1^13*T2^5 - 
     128*T2^6 - 601*T1*T2^6 + 6280*T1^2*T2^6 - 4513*T1^3*T2^6 - 
     26408*T1^4*T2^6 + 71224*T1^5*T2^6 - 64896*T1^6*T2^6 - 34598*T1^7*T2^6 + 
     80928*T1^8*T2^6 - 46848*T1^9*T2^6 + 2100*T1^10*T2^6 + 10079*T1^11*T2^6 - 
     3324*T1^12*T2^6 + 11*T1^13*T2^6 + 64*T1^14*T2^6 + 36*T2^7 + 
     539*T1*T2^7 - 2430*T1^2*T2^7 - 6311*T1^3*T2^7 + 30314*T1^4*T2^7 - 
     32564*T1^5*T2^7 - 34598*T1^6*T2^7 + 138368*T1^7*T2^7 - 
     113222*T1^8*T2^7 + 7661*T1^9*T2^7 + 42656*T1^10*T2^7 - 
     27045*T1^11*T2^7 + 2469*T1^12*T2^7 + 2274*T1^13*T2^7 - 334*T1^14*T2^7 - 
     27*T1^15*T2^7 - 4*T2^8 - 207*T1*T2^8 + 11*T1^2*T2^8 + 6469*T1^3*T2^8 - 
     12284*T1^4*T2^8 - 14574*T1^5*T2^8 + 80928*T1^6*T2^8 - 113222*T1^7*T2^8 + 
     11112*T1^8*T2^8 + 103346*T1^9*T2^8 - 87734*T1^10*T2^8 + 
     20954*T1^11*T2^8 + 11812*T1^12*T2^8 - 6913*T1^13*T2^8 - 11*T1^14*T2^8 + 
     207*T1^15*T2^8 + 4*T1^16*T2^8 + 27*T1*T2^9 + 332*T1^2*T2^9 - 
     2206*T1^3*T2^9 - 1617*T1^4*T2^9 + 24887*T1^5*T2^9 - 46848*T1^6*T2^9 + 
     7661*T1^7*T2^9 + 103346*T1^8*T2^9 - 148244*T1^9*T2^9 + 
     49920*T1^10*T2^9 + 28372*T1^11*T2^9 - 32472*T1^12*T2^9 + 
     7163*T1^13*T2^9 + 2498*T1^14*T2^9 - 541*T1^15*T2^9 - 36*T1^16*T2^9 - 
     64*T1^2*T2^10 - 7*T1^3*T2^10 + 3110*T1^4*T2^10 - 10591*T1^5*T2^10 + 
     2100*T1^6*T2^10 + 42656*T1^7*T2^10 - 87734*T1^8*T2^10 + 
     49920*T1^9*T2^10 + 58090*T1^10*T2^10 - 75416*T1^11*T2^10 + 
     30608*T1^12*T2^10 + 4001*T1^13*T2^10 - 6494*T1^14*T2^10 + 
     605*T1^15*T2^10 + 128*T1^16*T2^10 + 65*T1^3*T2^11 - 586*T1^4*T2^11 + 
     152*T1^5*T2^11 + 10079*T1^6*T2^11 - 27045*T1^7*T2^11 + 
     20954*T1^8*T2^11 + 28372*T1^9*T2^11 - 75416*T1^10*T2^11 + 
     37992*T1^11*T2^11 + 8606*T1^12*T2^11 - 19708*T1^13*T2^11 + 
     7841*T1^14*T2^11 + 98*T1^15*T2^11 - 260*T1^16*T2^11 + 584*T1^5*T2^12 - 
     3324*T1^6*T2^12 + 2469*T1^7*T2^12 + 11812*T1^8*T2^12 - 
     32472*T1^9*T2^12 + 30608*T1^10*T2^12 + 8606*T1^11*T2^12 - 
     26484*T1^12*T2^12 + 17159*T1^13*T2^12 - 3230*T1^14*T2^12 - 
     1234*T1^15*T2^12 + 332*T1^16*T2^12 - 65*T1^5*T2^13 + 11*T1^6*T2^13 + 
     2274*T1^7*T2^13 - 6913*T1^8*T2^13 + 7163*T1^9*T2^13 + 4001*T1^10*T2^13 - 
     19708*T1^11*T2^13 + 17159*T1^12*T2^13 - 5851*T1^13*T2^13 - 
     1086*T1^14*T2^13 + 1478*T1^15*T2^13 - 260*T1^16*T2^13 + 64*T1^6*T2^14 - 
     334*T1^7*T2^14 - 11*T1^8*T2^14 + 2498*T1^9*T2^14 - 6494*T1^10*T2^14 + 
     7841*T1^11*T2^14 - 3230*T1^12*T2^14 - 1086*T1^13*T2^14 + 
     1973*T1^14*T2^14 - 910*T1^15*T2^14 + 128*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 541*T1^9*T2^15 + 605*T1^10*T2^15 + 98*T1^11*T2^15 - 
     1234*T1^12*T2^15 + 1478*T1^13*T2^15 - 910*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     128*T1^10*T2^16 - 260*T1^11*T2^16 + 332*T1^12*T2^16 - 260*T1^13*T2^16 + 
     128*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 966] -> 
  {(2 - 10*T + 26*T^2 - 44*T^3 + 53*T^4 - 44*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-33 + 164*T1 - 425*T1^2 + 718*T1^3 - 865*T1^4 + 718*T1^5 - 
     425*T1^6 + 164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1500*T1^2*T2 - 
     1979*T1^3*T2 + 1611*T1^4*T2 - 329*T1^5*T2 - 579*T1^6*T2 + 780*T1^7*T2 - 
     452*T1^8*T2 + 124*T1^9*T2 - 425*T2^2 + 1500*T1*T2^2 - 2649*T1^2*T2^2 + 
     2436*T1^3*T2^2 - 616*T1^4*T2^2 - 2079*T1^5*T2^2 + 2192*T1^6*T2^2 - 
     1100*T1^7*T2^2 - 153*T1^8*T2^2 + 460*T1^9*T2^2 - 217*T1^10*T2^2 + 
     718*T2^3 - 1979*T1*T2^3 + 2436*T1^2*T2^3 - 318*T1^3*T2^3 - 
     2818*T1^4*T2^3 + 5173*T1^5*T2^3 - 1567*T1^6*T2^3 - 1250*T1^7*T2^3 + 
     2466*T1^8*T2^3 - 1308*T1^9*T2^3 + 141*T1^10*T2^3 + 190*T1^11*T2^3 - 
     865*T2^4 + 1611*T1*T2^4 - 616*T1^2*T2^4 - 2818*T1^3*T2^4 + 
     4443*T1^4*T2^4 - 3245*T1^5*T2^4 - 5089*T1^6*T2^4 + 6099*T1^7*T2^4 - 
     3853*T1^8*T2^4 - 354*T1^9*T2^4 + 1608*T1^10*T2^4 - 869*T1^11*T2^4 - 
     17*T1^12*T2^4 + 718*T2^5 - 329*T1*T2^5 - 2079*T1^2*T2^5 + 
     5173*T1^3*T2^5 - 3245*T1^4*T2^5 - 1448*T1^5*T2^5 + 10593*T1^6*T2^5 - 
     4915*T1^7*T2^5 - 1298*T1^8*T2^5 + 5391*T1^9*T2^5 - 3079*T1^10*T2^5 + 
     93*T1^11*T2^5 + 891*T1^12*T2^5 - 162*T1^13*T2^5 - 425*T2^6 - 
     579*T1*T2^6 + 2192*T1^2*T2^6 - 1567*T1^3*T2^6 - 5089*T1^4*T2^6 + 
     10593*T1^5*T2^6 - 14164*T1^6*T2^6 - 636*T1^7*T2^6 + 7896*T1^8*T2^6 - 
     7079*T1^9*T2^6 + 151*T1^10*T2^6 + 2905*T1^11*T2^6 - 1784*T1^12*T2^6 - 
     179*T1^13*T2^6 + 199*T1^14*T2^6 + 164*T2^7 + 780*T1*T2^7 - 
     1100*T1^2*T2^7 - 1250*T1^3*T2^7 + 6099*T1^4*T2^7 - 4915*T1^5*T2^7 - 
     636*T1^6*T2^7 + 16682*T1^7*T2^7 - 14402*T1^8*T2^7 + 2548*T1^9*T2^7 + 
     6265*T1^10*T2^7 - 5369*T1^11*T2^7 + 766*T1^12*T2^7 + 1396*T1^13*T2^7 - 
     420*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 - 
     153*T1^2*T2^8 + 2466*T1^3*T2^8 - 3853*T1^4*T2^8 - 1298*T1^5*T2^8 + 
     7896*T1^6*T2^8 - 14402*T1^7*T2^8 + 1884*T1^8*T2^8 + 12286*T1^9*T2^8 - 
     11416*T1^10*T2^8 + 3046*T1^11*T2^8 + 3027*T1^12*T2^8 - 2638*T1^13*T2^8 + 
     87*T1^14*T2^8 + 428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 
     460*T1^2*T2^9 - 1308*T1^3*T2^9 - 354*T1^4*T2^9 + 5391*T1^5*T2^9 - 
     7079*T1^6*T2^9 + 2548*T1^7*T2^9 + 12286*T1^8*T2^9 - 18798*T1^9*T2^9 + 
     5732*T1^10*T2^9 + 4101*T1^11*T2^9 - 6077*T1^12*T2^9 + 1662*T1^13*T2^9 + 
     1188*T1^14*T2^9 - 740*T1^15*T2^9 - 156*T1^16*T2^9 - 217*T1^2*T2^10 + 
     141*T1^3*T2^10 + 1608*T1^4*T2^10 - 3079*T1^5*T2^10 + 151*T1^6*T2^10 + 
     6265*T1^7*T2^10 - 11416*T1^8*T2^10 + 5732*T1^9*T2^10 + 
     10644*T1^10*T2^10 - 11407*T1^11*T2^10 + 5391*T1^12*T2^10 + 
     1393*T1^13*T2^10 - 2368*T1^14*T2^10 + 541*T1^15*T2^10 + 
     407*T1^16*T2^10 + 190*T1^3*T2^11 - 869*T1^4*T2^11 + 93*T1^5*T2^11 + 
     2905*T1^6*T2^11 - 5369*T1^7*T2^11 + 3046*T1^8*T2^11 + 4101*T1^9*T2^11 - 
     11407*T1^10*T2^11 + 3196*T1^11*T2^11 + 3267*T1^12*T2^11 - 
     5347*T1^13*T2^11 + 2265*T1^14*T2^11 + 351*T1^15*T2^11 - 
     690*T1^16*T2^11 - 17*T1^4*T2^12 + 891*T1^5*T2^12 - 1784*T1^6*T2^12 + 
     766*T1^7*T2^12 + 3027*T1^8*T2^12 - 6077*T1^9*T2^12 + 5391*T1^10*T2^12 + 
     3267*T1^11*T2^12 - 5269*T1^12*T2^12 + 3230*T1^13*T2^12 + 
     440*T1^14*T2^12 - 1589*T1^15*T2^12 + 831*T1^16*T2^12 - 162*T1^5*T2^13 - 
     179*T1^6*T2^13 + 1396*T1^7*T2^13 - 2638*T1^8*T2^13 + 1662*T1^9*T2^13 + 
     1393*T1^10*T2^13 - 5347*T1^11*T2^13 + 3230*T1^12*T2^13 + 
     146*T1^13*T2^13 - 2348*T1^14*T2^13 + 1941*T1^15*T2^13 - 
     690*T1^16*T2^13 + 199*T1^6*T2^14 - 420*T1^7*T2^14 + 87*T1^8*T2^14 + 
     1188*T1^9*T2^14 - 2368*T1^10*T2^14 + 2265*T1^11*T2^14 + 
     440*T1^12*T2^14 - 2348*T1^13*T2^14 + 2583*T1^14*T2^14 - 
     1460*T1^15*T2^14 + 407*T1^16*T2^14 - 116*T1^7*T2^15 + 428*T1^8*T2^15 - 
     740*T1^9*T2^15 + 541*T1^10*T2^15 + 351*T1^11*T2^15 - 1589*T1^12*T2^15 + 
     1941*T1^13*T2^15 - 1460*T1^14*T2^15 + 668*T1^15*T2^15 - 
     156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 407*T1^10*T2^16 - 
     690*T1^11*T2^16 + 831*T1^12*T2^16 - 690*T1^13*T2^16 + 407*T1^14*T2^16 - 
     156*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 967] -> 
  {-((5 - 27*T + 58*T^2 - 73*T^3 + 58*T^4 - 27*T^5 + 5*T^6)/T^3), 
   -((-105 + 585*T1 - 1305*T1^2 + 1663*T1^3 - 1305*T1^4 + 585*T1^5 - 
      105*T1^6 + 585*T2 - 3331*T1*T2 + 7583*T1^2*T2 - 9778*T1^3*T2 + 
      7907*T1^4*T2 - 3892*T1^5*T2 + 989*T1^6*T2 - 90*T1^7*T2 - 1305*T2^2 + 
      7583*T1*T2^2 - 15837*T1^2*T2^2 + 14148*T1^3*T2^2 - 849*T1^4*T2^2 - 
      12532*T1^5*T2^2 + 14903*T1^6*T2^2 - 8077*T1^7*T2^2 + 1595*T1^8*T2^2 + 
      1663*T2^3 - 9778*T1*T2^3 + 14148*T1^2*T2^3 + 11161*T1^3*T2^3 - 
      49539*T1^4*T2^3 + 62532*T1^5*T2^3 - 36539*T1^6*T2^3 + 750*T1^7*T2^3 + 
      11957*T1^8*T2^3 - 3812*T1^9*T2^3 - 1305*T2^4 + 7907*T1*T2^4 - 
      849*T1^2*T2^4 - 49539*T1^3*T2^4 + 78642*T1^4*T2^4 - 37404*T1^5*T2^4 - 
      41210*T1^6*T2^4 + 74707*T1^7*T2^4 - 40003*T1^8*T2^4 - 3703*T1^9*T2^4 + 
      4495*T1^10*T2^4 + 585*T2^5 - 3892*T1*T2^5 - 12532*T1^2*T2^5 + 
      62532*T1^3*T2^5 - 37404*T1^4*T2^5 - 57803*T1^5*T2^5 + 
      119121*T1^6*T2^5 - 70000*T1^7*T2^5 - 25189*T1^8*T2^5 + 
      53994*T1^9*T2^5 - 9157*T1^10*T2^5 - 2790*T1^11*T2^5 - 105*T2^6 + 
      989*T1*T2^6 + 14903*T1^2*T2^6 - 36539*T1^3*T2^6 - 41210*T1^4*T2^6 + 
      119121*T1^5*T2^6 - 85524*T1^6*T2^6 - 39869*T1^7*T2^6 + 
      111206*T1^8*T2^6 - 60017*T1^9*T2^6 - 21489*T1^10*T2^6 + 
      11519*T1^11*T2^6 + 645*T1^12*T2^6 - 90*T1*T2^7 - 8077*T1^2*T2^7 + 
      750*T1^3*T2^7 + 74707*T1^4*T2^7 - 70000*T1^5*T2^7 - 39869*T1^6*T2^7 + 
      137055*T1^7*T2^7 - 102596*T1^8*T2^7 - 13014*T1^9*T2^7 + 
      67276*T1^10*T2^7 - 13342*T1^11*T2^7 - 3465*T1^12*T2^7 + 
      1595*T1^2*T2^8 + 11957*T1^3*T2^8 - 40003*T1^4*T2^8 - 25189*T1^5*T2^8 + 
      111206*T1^6*T2^8 - 102596*T1^7*T2^8 - 8646*T1^8*T2^8 + 
      99057*T1^9*T2^8 - 79157*T1^10*T2^8 + 347*T1^11*T2^8 + 7395*T1^12*T2^8 - 
      3812*T1^3*T2^9 - 3703*T1^4*T2^9 + 53994*T1^5*T2^9 - 60017*T1^6*T2^9 - 
      13014*T1^7*T2^9 + 99057*T1^8*T2^9 - 107717*T1^9*T2^9 + 
      40596*T1^10*T2^9 + 18032*T1^11*T2^9 - 9287*T1^12*T2^9 + 
      4495*T1^4*T2^10 - 9157*T1^5*T2^10 - 21489*T1^6*T2^10 + 
      67276*T1^7*T2^10 - 79157*T1^8*T2^10 + 40596*T1^9*T2^10 + 
      9251*T1^10*T2^10 - 24817*T1^11*T2^10 + 7395*T1^12*T2^10 - 
      2790*T1^5*T2^11 + 11519*T1^6*T2^11 - 13342*T1^7*T2^11 + 
      347*T1^8*T2^11 + 18032*T1^9*T2^11 - 24817*T1^10*T2^11 + 
      15839*T1^11*T2^11 - 3465*T1^12*T2^11 + 645*T1^6*T2^12 - 
      3465*T1^7*T2^12 + 7395*T1^8*T2^12 - 9287*T1^9*T2^12 + 
      7395*T1^10*T2^12 - 3465*T1^11*T2^12 + 645*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 968] -> 
  {(1 - 8*T + 23*T^2 - 40*T^3 + 49*T^4 - 40*T^5 + 23*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 92*T1^2 + 160*T1^3 - 196*T1^4 + 160*T1^5 - 92*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 543*T1^2*T2 - 726*T1^3*T2 + 
     607*T1^4*T2 - 105*T1^5*T2 - 222*T1^6*T2 + 295*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 92*T2^2 + 543*T1*T2^2 - 621*T1^2*T2^2 - 365*T1^3*T2^2 + 
     2091*T1^4*T2^2 - 3853*T1^5*T2^2 + 3287*T1^6*T2^2 - 1837*T1^7*T2^2 + 
     391*T1^8*T2^2 + 175*T1^9*T2^2 - 46*T1^10*T2^2 + 160*T2^3 - 726*T1*T2^3 - 
     365*T1^2*T2^3 + 3334*T1^3*T2^3 - 5994*T1^4*T2^3 + 6787*T1^5*T2^3 - 
     2029*T1^6*T2^3 - 1242*T1^7*T2^3 + 2550*T1^8*T2^3 - 1469*T1^9*T2^3 + 
     50*T1^10*T2^3 + 40*T1^11*T2^3 - 196*T2^4 + 607*T1*T2^4 + 
     2091*T1^2*T2^4 - 5994*T1^3*T2^4 + 7032*T1^4*T2^4 - 4588*T1^5*T2^4 - 
     4550*T1^6*T2^4 + 5780*T1^7*T2^4 - 4040*T1^8*T2^4 + 246*T1^9*T2^4 + 
     1479*T1^10*T2^4 - 321*T1^11*T2^4 + 160*T2^5 - 105*T1*T2^5 - 
     3853*T1^2*T2^5 + 6787*T1^3*T2^5 - 4588*T1^4*T2^5 - 460*T1^5*T2^5 + 
     9822*T1^6*T2^5 - 4170*T1^7*T2^5 - 1332*T1^8*T2^5 + 5308*T1^9*T2^5 - 
     3981*T1^10*T2^5 + 35*T1^11*T2^5 + 319*T1^12*T2^5 - 40*T1^13*T2^5 - 
     92*T2^6 - 222*T1*T2^6 + 3287*T1^2*T2^6 - 2029*T1^3*T2^6 - 
     4550*T1^4*T2^6 + 9822*T1^5*T2^6 - 13408*T1^6*T2^6 - 966*T1^7*T2^6 + 
     7272*T1^8*T2^6 - 6386*T1^9*T2^6 + 600*T1^10*T2^6 + 3859*T1^11*T2^6 - 
     1525*T1^12*T2^6 - 46*T1^13*T2^6 + 46*T1^14*T2^6 + 32*T2^7 + 
     295*T1*T2^7 - 1837*T1^2*T2^7 - 1242*T1^3*T2^7 + 5780*T1^4*T2^7 - 
     4170*T1^5*T2^7 - 966*T1^6*T2^7 + 15652*T1^7*T2^7 - 12924*T1^8*T2^7 + 
     1626*T1^9*T2^7 + 5390*T1^10*T2^7 - 6004*T1^11*T2^7 - 42*T1^12*T2^7 + 
     1475*T1^13*T2^7 - 177*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 391*T1^2*T2^8 + 2550*T1^3*T2^8 - 4040*T1^4*T2^8 - 
     1332*T1^5*T2^8 + 7272*T1^6*T2^8 - 12924*T1^7*T2^8 + 2136*T1^8*T2^8 + 
     10948*T1^9*T2^8 - 8736*T1^10*T2^8 + 2924*T1^11*T2^8 + 4060*T1^12*T2^8 - 
     2666*T1^13*T2^8 - 381*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 175*T1^2*T2^9 - 1469*T1^3*T2^9 + 246*T1^4*T2^9 + 
     5308*T1^5*T2^9 - 6386*T1^6*T2^9 + 1626*T1^7*T2^9 + 10948*T1^8*T2^9 - 
     17628*T1^9*T2^9 + 4218*T1^10*T2^9 + 3174*T1^11*T2^9 - 6476*T1^12*T2^9 + 
     1446*T1^13*T2^9 + 1843*T1^14*T2^9 - 297*T1^15*T2^9 - 32*T1^16*T2^9 - 
     46*T1^2*T2^10 + 50*T1^3*T2^10 + 1479*T1^4*T2^10 - 3981*T1^5*T2^10 + 
     600*T1^6*T2^10 + 5390*T1^7*T2^10 - 8736*T1^8*T2^10 + 4218*T1^9*T2^10 + 
     11944*T1^10*T2^10 - 10818*T1^11*T2^10 + 5750*T1^12*T2^10 + 
     1907*T1^13*T2^10 - 3333*T1^14*T2^10 + 226*T1^15*T2^10 + 92*T1^16*T2^10 + 
     40*T1^3*T2^11 - 321*T1^4*T2^11 + 35*T1^5*T2^11 + 3859*T1^6*T2^11 - 
     6004*T1^7*T2^11 + 2924*T1^8*T2^11 + 3174*T1^9*T2^11 - 
     10818*T1^10*T2^11 + 2052*T1^11*T2^11 + 3892*T1^12*T2^11 - 
     6909*T1^13*T2^11 + 3923*T1^14*T2^11 + 103*T1^15*T2^11 - 
     160*T1^16*T2^11 + 319*T1^5*T2^12 - 1525*T1^6*T2^12 - 42*T1^7*T2^12 + 
     4060*T1^8*T2^12 - 6476*T1^9*T2^12 + 5750*T1^10*T2^12 + 
     3892*T1^11*T2^12 - 7012*T1^12*T2^12 + 6198*T1^13*T2^12 - 
     2137*T1^14*T2^12 - 609*T1^15*T2^12 + 196*T1^16*T2^12 - 40*T1^5*T2^13 - 
     46*T1^6*T2^13 + 1475*T1^7*T2^13 - 2666*T1^8*T2^13 + 1446*T1^9*T2^13 + 
     1907*T1^10*T2^13 - 6909*T1^11*T2^13 + 6198*T1^12*T2^13 - 
     3450*T1^13*T2^13 + 371*T1^14*T2^13 + 730*T1^15*T2^13 - 160*T1^16*T2^13 + 
     46*T1^6*T2^14 - 177*T1^7*T2^14 - 381*T1^8*T2^14 + 1843*T1^9*T2^14 - 
     3333*T1^10*T2^14 + 3923*T1^11*T2^14 - 2137*T1^12*T2^14 + 
     371*T1^13*T2^14 + 631*T1^14*T2^14 - 545*T1^15*T2^14 + 92*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 297*T1^9*T2^15 + 226*T1^10*T2^15 + 
     103*T1^11*T2^15 - 609*T1^12*T2^15 + 730*T1^13*T2^15 - 545*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     92*T1^10*T2^16 - 160*T1^11*T2^16 + 196*T1^12*T2^16 - 160*T1^13*T2^16 + 
     92*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 969] -> 
  {(2 - 14*T + 33*T^2 - 41*T^3 + 33*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-31 + 216*T1 - 508*T1^2 + 631*T1^3 - 508*T1^4 + 216*T1^5 - 31*T1^6 + 
     216*T2 - 1344*T1*T2 + 2421*T1^2*T2 - 1777*T1^3*T2 + 295*T1^4*T2 + 
     1105*T1^5*T2 - 896*T1^6*T2 + 160*T1^7*T2 - 508*T2^2 + 2421*T1*T2^2 - 
     851*T1^2*T2^2 - 6010*T1^3*T2^2 + 10089*T1^4*T2^2 - 9574*T1^5*T2^2 + 
     3241*T1^6*T2^2 + 573*T1^7*T2^2 - 244*T1^8*T2^2 + 631*T2^3 - 
     1777*T1*T2^3 - 6010*T1^2*T2^3 + 17990*T1^3*T2^3 - 16134*T1^4*T2^3 + 
     6492*T1^5*T2^3 + 6854*T1^6*T2^3 - 6736*T1^7*T2^3 + 743*T1^8*T2^3 + 
     139*T1^9*T2^3 - 508*T2^4 + 295*T1*T2^4 + 10089*T1^2*T2^4 - 
     16134*T1^3*T2^4 - 166*T1^4*T2^4 + 15838*T1^5*T2^4 - 22978*T1^6*T2^4 + 
     8630*T1^7*T2^4 + 2729*T1^8*T2^4 - 1105*T1^9*T2^4 + 20*T1^10*T2^4 + 
     216*T2^5 + 1105*T1*T2^5 - 9574*T1^2*T2^5 + 6492*T1^3*T2^5 + 
     15838*T1^4*T2^5 - 23243*T1^5*T2^5 + 13977*T1^6*T2^5 + 7225*T1^7*T2^5 - 
     11858*T1^8*T2^5 + 2504*T1^9*T2^5 + 293*T1^10*T2^5 - 64*T1^11*T2^5 - 
     31*T2^6 - 896*T1*T2^6 + 3241*T1^2*T2^6 + 6854*T1^3*T2^6 - 
     22978*T1^4*T2^6 + 13977*T1^5*T2^6 + 7416*T1^6*T2^6 - 20861*T1^7*T2^6 + 
     13188*T1^8*T2^6 + 1250*T1^9*T2^6 - 2587*T1^10*T2^6 + 336*T1^11*T2^6 + 
     17*T1^12*T2^6 + 160*T1*T2^7 + 573*T1^2*T2^7 - 6736*T1^3*T2^7 + 
     8630*T1^4*T2^7 + 7225*T1^5*T2^7 - 20861*T1^6*T2^7 + 16359*T1^7*T2^7 - 
     1388*T1^8*T2^7 - 9720*T1^9*T2^7 + 5342*T1^10*T2^7 - 239*T1^11*T2^7 - 
     120*T1^12*T2^7 - 244*T1^2*T2^8 + 743*T1^3*T2^8 + 2729*T1^4*T2^8 - 
     11858*T1^5*T2^8 + 13188*T1^6*T2^8 - 1388*T1^7*T2^8 - 9624*T1^8*T2^8 + 
     12906*T1^9*T2^8 - 4631*T1^10*T2^8 - 657*T1^11*T2^8 + 284*T1^12*T2^8 + 
     139*T1^3*T2^9 - 1105*T1^4*T2^9 + 2504*T1^5*T2^9 + 1250*T1^6*T2^9 - 
     9720*T1^7*T2^9 + 12906*T1^8*T2^9 - 9886*T1^9*T2^9 + 1778*T1^10*T2^9 + 
     1415*T1^11*T2^9 - 353*T1^12*T2^9 + 20*T1^4*T2^10 + 293*T1^5*T2^10 - 
     2587*T1^6*T2^10 + 5342*T1^7*T2^10 - 4631*T1^8*T2^10 + 1778*T1^9*T2^10 + 
     1505*T1^10*T2^10 - 1555*T1^11*T2^10 + 284*T1^12*T2^10 - 64*T1^5*T2^11 + 
     336*T1^6*T2^11 - 239*T1^7*T2^11 - 657*T1^8*T2^11 + 1415*T1^9*T2^11 - 
     1555*T1^10*T2^11 + 784*T1^11*T2^11 - 120*T1^12*T2^11 + 17*T1^6*T2^12 - 
     120*T1^7*T2^12 + 284*T1^8*T2^12 - 353*T1^9*T2^12 + 284*T1^10*T2^12 - 
     120*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 970] -> 
  {((1 - T + T^2)*(2 - 6*T + 7*T^2 - 5*T^3 + 7*T^4 - 6*T^5 + 2*T^6))/T^4, 
   (-17 + 68*T1 - 128*T1^2 + 154*T1^3 - 163*T1^4 + 154*T1^5 - 128*T1^6 + 
     68*T1^7 - 17*T1^8 + 68*T2 - 236*T1*T2 + 368*T1^2*T2 - 344*T1^3*T2 + 
     324*T1^4*T2 - 268*T1^5*T2 + 184*T1^6*T2 - 76*T1^8*T2 + 36*T1^9*T2 - 
     128*T2^2 + 368*T1*T2^2 - 410*T1^2*T2^2 + 151*T1^3*T2^2 - 63*T1^4*T2^2 - 
     62*T1^5*T2^2 + 177*T1^6*T2^2 - 449*T1^7*T2^2 + 370*T1^8*T2^2 - 
     112*T1^9*T2^2 - 8*T1^10*T2^2 + 154*T2^3 - 344*T1*T2^3 + 151*T1^2*T2^3 + 
     356*T1^3*T2^3 - 370*T1^4*T2^3 + 429*T1^5*T2^3 - 447*T1^6*T2^3 + 
     674*T1^7*T2^3 - 244*T1^8*T2^3 - 269*T1^9*T2^3 + 280*T1^10*T2^3 - 
     62*T1^11*T2^3 - 163*T2^4 + 324*T1*T2^4 - 63*T1^2*T2^4 - 370*T1^3*T2^4 + 
     41*T1^4*T2^4 + 29*T1^5*T2^4 + 27*T1^6*T2^4 - 339*T1^7*T2^4 - 
     255*T1^8*T2^4 + 638*T1^9*T2^4 - 87*T1^10*T2^4 - 316*T1^11*T2^4 + 
     141*T1^12*T2^4 + 154*T2^5 - 268*T1*T2^5 - 62*T1^2*T2^5 + 429*T1^3*T2^5 + 
     29*T1^4*T2^5 + 110*T1^5*T2^5 - 368*T1^6*T2^5 + 550*T1^7*T2^5 + 
     308*T1^8*T2^5 - 481*T1^9*T2^5 - 471*T1^10*T2^5 + 346*T1^11*T2^5 + 
     260*T1^12*T2^5 - 206*T1^13*T2^5 - 128*T2^6 + 184*T1*T2^6 + 
     177*T1^2*T2^6 - 447*T1^3*T2^6 + 27*T1^4*T2^6 - 368*T1^5*T2^6 + 
     450*T1^6*T2^6 - 162*T1^7*T2^6 - 690*T1^8*T2^6 + 484*T1^9*T2^6 + 
     489*T1^10*T2^6 + 393*T1^11*T2^6 - 591*T1^12*T2^6 - 104*T1^13*T2^6 + 
     232*T1^14*T2^6 + 68*T2^7 - 449*T1^2*T2^7 + 674*T1^3*T2^7 - 
     339*T1^4*T2^7 + 550*T1^5*T2^7 - 162*T1^6*T2^7 - 486*T1^7*T2^7 + 
     910*T1^8*T2^7 - 426*T1^9*T2^7 - 500*T1^10*T2^7 - 397*T1^11*T2^7 - 
     514*T1^12*T2^7 + 1051*T1^13*T2^7 - 304*T1^14*T2^7 - 156*T1^15*T2^7 - 
     17*T2^8 - 76*T1*T2^8 + 370*T1^2*T2^8 - 244*T1^3*T2^8 - 255*T1^4*T2^8 + 
     308*T1^5*T2^8 - 690*T1^6*T2^8 + 910*T1^7*T2^8 - 120*T1^8*T2^8 - 
     762*T1^9*T2^8 + 1698*T1^10*T2^8 - 748*T1^11*T2^8 + 1757*T1^12*T2^8 - 
     964*T1^13*T2^8 - 422*T1^14*T2^8 + 436*T1^15*T2^8 + 47*T1^16*T2^8 + 
     36*T1*T2^9 - 112*T1^2*T2^9 - 269*T1^3*T2^9 + 638*T1^4*T2^9 - 
     481*T1^5*T2^9 + 484*T1^6*T2^9 - 426*T1^7*T2^9 - 762*T1^8*T2^9 + 
     634*T1^9*T2^9 - 690*T1^10*T2^9 - 566*T1^11*T2^9 - 539*T1^12*T2^9 - 
     550*T1^13*T2^9 + 1231*T1^14*T2^9 - 416*T1^15*T2^9 - 188*T1^16*T2^9 - 
     8*T1^2*T2^10 + 280*T1^3*T2^10 - 87*T1^4*T2^10 - 471*T1^5*T2^10 + 
     489*T1^6*T2^10 - 500*T1^7*T2^10 + 1698*T1^8*T2^10 - 690*T1^9*T2^10 + 
     558*T1^10*T2^10 + 352*T1^11*T2^10 + 951*T1^12*T2^10 + 369*T1^13*T2^10 - 
     855*T1^14*T2^10 - 8*T1^15*T2^10 + 352*T1^16*T2^10 - 62*T1^3*T2^11 - 
     316*T1^4*T2^11 + 346*T1^5*T2^11 + 393*T1^6*T2^11 - 397*T1^7*T2^11 - 
     748*T1^8*T2^11 - 566*T1^9*T2^11 + 352*T1^10*T2^11 - 550*T1^11*T2^11 - 
     907*T1^12*T2^11 - 507*T1^13*T2^11 + 754*T1^14*T2^11 + 212*T1^15*T2^11 - 
     422*T1^16*T2^11 + 141*T1^4*T2^12 + 260*T1^5*T2^12 - 591*T1^6*T2^12 - 
     514*T1^7*T2^12 + 1757*T1^8*T2^12 - 539*T1^9*T2^12 + 951*T1^10*T2^12 - 
     907*T1^11*T2^12 + 1461*T1^12*T2^12 + 494*T1^13*T2^12 - 615*T1^14*T2^12 - 
     380*T1^15*T2^12 + 445*T1^16*T2^12 - 206*T1^5*T2^13 - 104*T1^6*T2^13 + 
     1051*T1^7*T2^13 - 964*T1^8*T2^13 - 550*T1^9*T2^13 + 369*T1^10*T2^13 - 
     507*T1^11*T2^13 + 494*T1^12*T2^13 - 1564*T1^13*T2^13 + 631*T1^14*T2^13 + 
     520*T1^15*T2^13 - 422*T1^16*T2^13 + 232*T1^6*T2^14 - 304*T1^7*T2^14 - 
     422*T1^8*T2^14 + 1231*T1^9*T2^14 - 855*T1^10*T2^14 + 754*T1^11*T2^14 - 
     615*T1^12*T2^14 + 631*T1^13*T2^14 + 358*T1^14*T2^14 - 784*T1^15*T2^14 + 
     352*T1^16*T2^14 - 156*T1^7*T2^15 + 436*T1^8*T2^15 - 416*T1^9*T2^15 - 
     8*T1^10*T2^15 + 212*T1^11*T2^15 - 380*T1^12*T2^15 + 520*T1^13*T2^15 - 
     784*T1^14*T2^15 + 596*T1^15*T2^15 - 188*T1^16*T2^15 + 47*T1^8*T2^16 - 
     188*T1^9*T2^16 + 352*T1^10*T2^16 - 422*T1^11*T2^16 + 445*T1^12*T2^16 - 
     422*T1^13*T2^16 + 352*T1^14*T2^16 - 188*T1^15*T2^16 + 47*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 971] -> 
  {(4 - 18*T + 37*T^2 - 45*T^3 + 37*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-128 + 580*T1 - 1200*T1^2 + 1464*T1^3 - 1200*T1^4 + 580*T1^5 - 128*T1^6 + 
     580*T2 - 2334*T1*T2 + 4100*T1^2*T2 - 3856*T1^3*T2 + 2048*T1^4*T2 + 
     140*T1^5*T2 - 750*T1^6*T2 + 292*T1^7*T2 - 1200*T2^2 + 4100*T1*T2^2 - 
     5273*T1^2*T2^2 + 1503*T1^3*T2^2 + 3419*T1^4*T2^2 - 6489*T1^5*T2^2 + 
     4495*T1^6*T2^2 - 1228*T1^7*T2^2 - 16*T1^8*T2^2 + 1464*T2^3 - 
     3856*T1*T2^3 + 1503*T1^2*T2^3 + 7432*T1^3*T2^3 - 13084*T1^4*T2^3 + 
     11828*T1^5*T2^3 - 2738*T1^6*T2^3 - 3825*T1^7*T2^3 + 3200*T1^8*T2^3 - 
     696*T1^9*T2^3 - 1200*T2^4 + 2048*T1*T2^4 + 3419*T1^2*T2^4 - 
     13084*T1^3*T2^4 + 12308*T1^4*T2^4 - 1646*T1^5*T2^4 - 11896*T1^6*T2^4 + 
     13736*T1^7*T2^4 - 3837*T1^8*T2^4 - 2128*T1^9*T2^4 + 1168*T1^10*T2^4 + 
     580*T2^5 + 140*T1*T2^5 - 6489*T1^2*T2^5 + 11828*T1^3*T2^5 - 
     1646*T1^4*T2^5 - 14357*T1^5*T2^5 + 20203*T1^6*T2^5 - 8639*T1^7*T2^5 - 
     9268*T1^8*T2^5 + 9495*T1^9*T2^5 - 1372*T1^10*T2^5 - 860*T1^11*T2^5 - 
     128*T2^6 - 750*T1*T2^6 + 4495*T1^2*T2^6 - 2738*T1^3*T2^6 - 
     11896*T1^4*T2^6 + 20203*T1^5*T2^6 - 7440*T1^6*T2^6 - 12683*T1^7*T2^6 + 
     23690*T1^8*T2^6 - 8390*T1^9*T2^6 - 4329*T1^10*T2^6 + 2706*T1^11*T2^6 + 
     256*T1^12*T2^6 + 292*T1*T2^7 - 1228*T1^2*T2^7 - 3825*T1^3*T2^7 + 
     13736*T1^4*T2^7 - 8639*T1^5*T2^7 - 12683*T1^6*T2^7 + 21877*T1^7*T2^7 - 
     15632*T1^8*T2^7 - 7360*T1^9*T2^7 + 12159*T1^10*T2^7 - 2740*T1^11*T2^7 - 
     1148*T1^12*T2^7 - 16*T1^2*T2^8 + 3200*T1^3*T2^8 - 3837*T1^4*T2^8 - 
     9268*T1^5*T2^8 + 23690*T1^6*T2^8 - 15632*T1^7*T2^8 - 514*T1^8*T2^8 + 
     17552*T1^9*T2^8 - 11093*T1^10*T2^8 - 976*T1^11*T2^8 + 2352*T1^12*T2^8 - 
     696*T1^3*T2^9 - 2128*T1^4*T2^9 + 9495*T1^5*T2^9 - 8390*T1^6*T2^9 - 
     7360*T1^7*T2^9 + 17552*T1^8*T2^9 - 18560*T1^9*T2^9 + 4167*T1^10*T2^9 + 
     4928*T1^11*T2^9 - 2856*T1^12*T2^9 + 1168*T1^4*T2^10 - 1372*T1^5*T2^10 - 
     4329*T1^6*T2^10 + 12159*T1^7*T2^10 - 11093*T1^8*T2^10 + 
     4167*T1^9*T2^10 + 5439*T1^10*T2^10 - 6700*T1^11*T2^10 + 
     2352*T1^12*T2^10 - 860*T1^5*T2^11 + 2706*T1^6*T2^11 - 2740*T1^7*T2^11 - 
     976*T1^8*T2^11 + 4928*T1^9*T2^11 - 6700*T1^10*T2^11 + 4290*T1^11*T2^11 - 
     1148*T1^12*T2^11 + 256*T1^6*T2^12 - 1148*T1^7*T2^12 + 2352*T1^8*T2^12 - 
     2856*T1^9*T2^12 + 2352*T1^10*T2^12 - 1148*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 972] -> 
  {-((2 - 10*T + 24*T^2 - 36*T^3 + 39*T^4 - 36*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-25 + 124*T1 - 297*T1^2 + 446*T1^3 - 483*T1^4 + 446*T1^5 - 
      297*T1^6 + 124*T1^7 - 25*T1^8 + 124*T2 - 532*T1*T2 + 1060*T1^2*T2 - 
      1221*T1^3*T2 + 905*T1^4*T2 - 595*T1^5*T2 - 21*T1^6*T2 + 380*T1^7*T2 - 
      292*T1^8*T2 + 84*T1^9*T2 - 297*T2^2 + 1060*T1*T2^2 - 1591*T1^2*T2^2 + 
      945*T1^3*T2^2 + 312*T1^4*T2^2 - 711*T1^5*T2^2 + 1752*T1^6*T2^2 - 
      1551*T1^7*T2^2 + 521*T1^8*T2^2 + 100*T1^9*T2^2 - 105*T1^10*T2^2 + 
      446*T2^3 - 1221*T1*T2^3 + 945*T1^2*T2^3 + 1120*T1^3*T2^3 - 
      2812*T1^4*T2^3 + 2078*T1^5*T2^3 - 2962*T1^6*T2^3 + 1004*T1^7*T2^3 + 
      1168*T1^8*T2^3 - 1359*T1^9*T2^3 + 459*T1^10*T2^3 + 14*T1^11*T2^3 - 
      483*T2^4 + 905*T1*T2^4 + 312*T1^2*T2^4 - 2812*T1^3*T2^4 + 
      3046*T1^4*T2^4 - 69*T1^5*T2^4 + 898*T1^6*T2^4 + 2619*T1^7*T2^4 - 
      4130*T1^8*T2^4 + 1796*T1^9*T2^4 + 600*T1^10*T2^4 - 775*T1^11*T2^4 + 
      141*T1^12*T2^4 + 446*T2^5 - 595*T1*T2^5 - 711*T1^2*T2^5 + 
      2078*T1^3*T2^5 - 69*T1^4*T2^5 - 3938*T1^5*T2^5 + 1643*T1^6*T2^5 - 
      5197*T1^7*T2^5 + 4252*T1^8*T2^5 + 975*T1^9*T2^5 - 2674*T1^10*T2^5 + 
      621*T1^11*T2^5 + 665*T1^12*T2^5 - 274*T1^13*T2^5 - 297*T2^6 - 
      21*T1*T2^6 + 1752*T1^2*T2^6 - 2962*T1^3*T2^6 + 898*T1^4*T2^6 + 
      1643*T1^5*T2^6 + 1926*T1^6*T2^6 + 2734*T1^7*T2^6 - 1098*T1^8*T2^6 - 
      4117*T1^9*T2^6 + 1474*T1^10*T2^6 + 2510*T1^11*T2^6 - 1992*T1^12*T2^6 - 
      21*T1^13*T2^6 + 279*T1^14*T2^6 + 124*T2^7 + 380*T1*T2^7 - 
      1551*T1^2*T2^7 + 1004*T1^3*T2^7 + 2619*T1^4*T2^7 - 5197*T1^5*T2^7 + 
      2734*T1^6*T2^7 - 7550*T1^7*T2^7 + 3550*T1^8*T2^7 + 2206*T1^9*T2^7 + 
      3803*T1^10*T2^7 - 5001*T1^11*T2^7 + 356*T1^12*T2^7 + 1905*T1^13*T2^7 - 
      620*T1^14*T2^7 - 156*T1^15*T2^7 - 25*T2^8 - 292*T1*T2^8 + 
      521*T1^2*T2^8 + 1168*T1^3*T2^8 - 4130*T1^4*T2^8 + 4252*T1^5*T2^8 - 
      1098*T1^6*T2^8 + 3550*T1^7*T2^8 + 1128*T1^8*T2^8 - 4594*T1^9*T2^8 - 
      4074*T1^10*T2^8 + 580*T1^11*T2^8 + 4894*T1^12*T2^8 - 3440*T1^13*T2^8 - 
      103*T1^14*T2^8 + 588*T1^15*T2^8 + 39*T1^16*T2^8 + 84*T1*T2^9 + 
      100*T1^2*T2^9 - 1359*T1^3*T2^9 + 1796*T1^4*T2^9 + 975*T1^5*T2^9 - 
      4117*T1^6*T2^9 + 2206*T1^7*T2^9 - 4594*T1^8*T2^9 + 6506*T1^9*T2^9 + 
      1678*T1^10*T2^9 + 4883*T1^11*T2^9 - 6645*T1^12*T2^9 + 1148*T1^13*T2^9 + 
      2097*T1^14*T2^9 - 900*T1^15*T2^9 - 196*T1^16*T2^9 - 105*T1^2*T2^10 + 
      459*T1^3*T2^10 + 600*T1^4*T2^10 - 2674*T1^5*T2^10 + 1474*T1^6*T2^10 + 
      3803*T1^7*T2^10 - 4074*T1^8*T2^10 + 1678*T1^9*T2^10 - 
      7098*T1^10*T2^10 - 1957*T1^11*T2^10 + 2050*T1^12*T2^10 + 
      2798*T1^13*T2^10 - 3144*T1^14*T2^10 + 459*T1^15*T2^10 + 
      471*T1^16*T2^10 + 14*T1^3*T2^11 - 775*T1^4*T2^11 + 621*T1^5*T2^11 + 
      2510*T1^6*T2^11 - 5001*T1^7*T2^11 + 580*T1^8*T2^11 + 4883*T1^9*T2^11 - 
      1957*T1^10*T2^11 + 8770*T1^11*T2^11 - 3957*T1^12*T2^11 - 
      2242*T1^13*T2^11 + 1953*T1^14*T2^11 + 485*T1^15*T2^11 - 
      706*T1^16*T2^11 + 141*T1^4*T2^12 + 665*T1^5*T2^12 - 1992*T1^6*T2^12 + 
      356*T1^7*T2^12 + 4894*T1^8*T2^12 - 6645*T1^9*T2^12 + 2050*T1^10*T2^12 - 
      3957*T1^11*T2^12 - 2282*T1^12*T2^12 + 4964*T1^13*T2^12 - 
      1704*T1^14*T2^12 - 1015*T1^15*T2^12 + 765*T1^16*T2^12 - 
      274*T1^5*T2^13 - 21*T1^6*T2^13 + 1905*T1^7*T2^13 - 3440*T1^8*T2^13 + 
      1148*T1^9*T2^13 + 2798*T1^10*T2^13 - 2242*T1^11*T2^13 + 
      4964*T1^12*T2^13 - 3392*T1^13*T2^13 - 399*T1^14*T2^13 + 
      1659*T1^15*T2^13 - 706*T1^16*T2^13 + 279*T1^6*T2^14 - 620*T1^7*T2^14 - 
      103*T1^8*T2^14 + 2097*T1^9*T2^14 - 3144*T1^10*T2^14 + 
      1953*T1^11*T2^14 - 1704*T1^12*T2^14 - 399*T1^13*T2^14 + 
      2009*T1^14*T2^14 - 1580*T1^15*T2^14 + 471*T1^16*T2^14 - 
      156*T1^7*T2^15 + 588*T1^8*T2^15 - 900*T1^9*T2^15 + 459*T1^10*T2^15 + 
      485*T1^11*T2^15 - 1015*T1^12*T2^15 + 1659*T1^13*T2^15 - 
      1580*T1^14*T2^15 + 828*T1^15*T2^15 - 196*T1^16*T2^15 + 39*T1^8*T2^16 - 
      196*T1^9*T2^16 + 471*T1^10*T2^16 - 706*T1^11*T2^16 + 765*T1^12*T2^16 - 
      706*T1^13*T2^16 + 471*T1^14*T2^16 - 196*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 973] -> 
  {(8 - 29*T + 53*T^2 - 63*T^3 + 53*T^4 - 29*T^5 + 8*T^6)/T^3, 
   -((3160 - 11339*T1 + 20620*T1^2 - 24460*T1^3 + 20620*T1^4 - 11339*T1^5 + 
      3160*T1^6 - 11339*T2 + 31302*T1*T2 - 40215*T1^2*T2 + 26181*T1^3*T2 - 
      731*T1^4*T2 - 21191*T1^5*T2 + 22718*T1^6*T2 - 9483*T1^7*T2 + 
      20620*T2^2 - 40215*T1*T2^2 + 26047*T1^2*T2^2 + 14742*T1^3*T2^2 - 
      41925*T1^4*T2^2 + 43574*T1^5*T2^2 - 12113*T1^6*T2^2 - 15623*T1^7*T2^2 + 
      13836*T1^8*T2^2 - 24460*T2^3 + 26181*T1*T2^3 + 14742*T1^2*T2^3 - 
      53871*T1^3*T2^3 + 43810*T1^4*T2^3 - 10498*T1^5*T2^3 - 35189*T1^6*T2^3 + 
      38009*T1^7*T2^3 - 5371*T1^8*T2^3 - 12364*T1^9*T2^3 + 20620*T2^4 - 
      731*T1*T2^4 - 41925*T1^2*T2^4 + 43810*T1^3*T2^4 + 7021*T1^4*T2^4 - 
      40851*T1^5*T2^4 + 54937*T1^6*T2^4 - 13772*T1^7*T2^4 - 25847*T1^8*T2^4 + 
      19221*T1^9*T2^4 + 7052*T1^10*T2^4 - 11339*T2^5 - 21191*T1*T2^5 + 
      43574*T1^2*T2^5 - 10498*T1^3*T2^5 - 40851*T1^4*T2^5 + 37380*T1^5*T2^5 - 
      14762*T1^6*T2^5 - 32954*T1^7*T2^5 + 37262*T1^8*T2^5 - 1953*T1^9*T2^5 - 
      17943*T1^10*T2^5 - 2059*T1^11*T2^5 + 3160*T2^6 + 22718*T1*T2^6 - 
      12113*T1^2*T2^6 - 35189*T1^3*T2^6 + 54937*T1^4*T2^6 - 14762*T1^5*T2^6 - 
      15888*T1^6*T2^6 + 36006*T1^7*T2^6 - 6293*T1^8*T2^6 - 26367*T1^9*T2^6 + 
      20147*T1^10*T2^6 + 6942*T1^11*T2^6 + 88*T1^12*T2^6 - 9483*T1*T2^7 - 
      15623*T1^2*T2^7 + 38009*T1^3*T2^7 - 13772*T1^4*T2^7 - 32954*T1^5*T2^7 + 
      36006*T1^6*T2^7 - 16136*T1^7*T2^7 - 25057*T1^8*T2^7 + 33988*T1^9*T2^7 - 
      7518*T1^10*T2^7 - 12375*T1^11*T2^7 - 203*T1^12*T2^7 + 13836*T1^2*T2^8 - 
      5371*T1^3*T2^8 - 25847*T1^4*T2^8 + 37262*T1^5*T2^8 - 6293*T1^6*T2^8 - 
      25057*T1^7*T2^8 + 41623*T1^8*T2^8 - 20320*T1^9*T2^8 - 9769*T1^10*T2^8 + 
      14581*T1^11*T2^8 + 268*T1^12*T2^8 - 12364*T1^3*T2^9 + 19221*T1^4*T2^9 - 
      1953*T1^5*T2^9 - 26367*T1^6*T2^9 + 33988*T1^7*T2^9 - 20320*T1^8*T2^9 - 
      7685*T1^9*T2^9 + 21314*T1^10*T2^9 - 12331*T1^11*T2^9 - 268*T1^12*T2^9 + 
      7052*T1^4*T2^10 - 17943*T1^5*T2^10 + 20147*T1^6*T2^10 - 
      7518*T1^7*T2^10 - 9769*T1^8*T2^10 + 21314*T1^9*T2^10 - 
      18013*T1^10*T2^10 + 6649*T1^11*T2^10 + 268*T1^12*T2^10 - 
      2059*T1^5*T2^11 + 6942*T1^6*T2^11 - 12375*T1^7*T2^11 + 
      14581*T1^8*T2^11 - 12331*T1^9*T2^11 + 6649*T1^10*T2^11 - 
      1642*T1^11*T2^11 - 203*T1^12*T2^11 + 88*T1^6*T2^12 - 203*T1^7*T2^12 + 
      268*T1^8*T2^12 - 268*T1^9*T2^12 + 268*T1^10*T2^12 - 203*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 974] -> {(13 - 44*T + 63*T^2 - 44*T^3 + 13*T^4)/T^2, 
   -((9620 - 32226*T1 + 46040*T1^2 - 32226*T1^3 + 9620*T1^4 - 32226*T2 + 
      83338*T1*T2 - 71575*T1^2*T2 - 10371*T1^3*T2 + 50734*T1^4*T2 - 
      24790*T1^5*T2 + 46040*T2^2 - 71575*T1*T2^2 - 32905*T1^2*T2^2 + 
      161137*T1^3*T2^2 - 114805*T1^4*T2^2 + 497*T1^5*T2^2 + 24746*T1^6*T2^2 - 
      32226*T2^3 - 10371*T1*T2^3 + 161137*T1^2*T2^3 - 194818*T1^3*T2^3 + 
      3974*T1^4*T2^3 + 111241*T1^5*T2^3 - 49839*T1^6*T2^3 - 9918*T1^7*T2^3 + 
      9620*T2^4 + 50734*T1*T2^4 - 114805*T1^2*T2^4 + 3974*T1^3*T2^4 + 
      187608*T1^4*T2^4 - 159882*T1^5*T2^4 + 12975*T1^6*T2^4 + 
      30142*T1^7*T2^4 + 832*T1^8*T2^4 - 24790*T1*T2^5 + 497*T1^2*T2^5 + 
      111241*T1^3*T2^5 - 159882*T1^4*T2^5 + 38910*T1^5*T2^5 + 
      61345*T1^6*T2^5 - 38971*T1^7*T2^5 - 2482*T1^8*T2^5 + 24746*T1^2*T2^6 - 
      49839*T1^3*T2^6 + 12975*T1^4*T2^6 + 61345*T1^5*T2^6 - 68925*T1^6*T2^6 + 
      22233*T1^7*T2^6 + 3452*T1^8*T2^6 - 9918*T1^3*T2^7 + 30142*T1^4*T2^7 - 
      38971*T1^5*T2^7 + 22233*T1^6*T2^7 - 2462*T1^7*T2^7 - 2482*T1^8*T2^7 + 
      832*T1^4*T2^8 - 2482*T1^5*T2^8 + 3452*T1^6*T2^8 - 2482*T1^7*T2^8 + 
      832*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 975] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^3), 
   -((-188 + 1024*T1 - 2394*T1^2 + 3158*T1^3 - 2394*T1^4 + 1024*T1^5 - 
      188*T1^6 + 1024*T2 - 4904*T1*T2 + 9398*T1^2*T2 - 8740*T1^3*T2 + 
      1908*T1^4*T2 + 2886*T1^5*T2 - 2616*T1^6*T2 + 672*T1^7*T2 - 2394*T2^2 + 
      9398*T1*T2^2 - 11467*T1^2*T2^2 - 1937*T1^3*T2^2 + 21273*T1^4*T2^2 - 
      21489*T1^5*T2^2 + 8501*T1^6*T2^2 + 246*T1^7*T2^2 - 730*T1^8*T2^2 + 
      3158*T2^3 - 8740*T1*T2^3 - 1937*T1^2*T2^3 + 33576*T1^3*T2^3 - 
      52406*T1^4*T2^3 + 24746*T1^5*T2^3 + 9364*T1^6*T2^3 - 15249*T1^7*T2^3 + 
      4900*T1^8*T2^3 - 154*T1^9*T2^3 - 2394*T2^4 + 1908*T1*T2^4 + 
      21273*T1^2*T2^4 - 52406*T1^3*T2^4 + 38482*T1^4*T2^4 + 29332*T1^5*T2^4 - 
      64274*T1^6*T2^4 + 35914*T1^7*T2^4 - 2255*T1^8*T2^4 - 4252*T1^9*T2^4 + 
      934*T1^10*T2^4 + 1024*T2^5 + 2886*T1*T2^5 - 21489*T1^2*T2^5 + 
      24746*T1^3*T2^5 + 29332*T1^4*T2^5 - 101208*T1^5*T2^5 + 
      90412*T1^6*T2^5 - 8524*T1^7*T2^5 - 30070*T1^8*T2^5 + 16783*T1^9*T2^5 - 
      1162*T1^10*T2^5 - 736*T1^11*T2^5 - 188*T2^6 - 2616*T1*T2^6 + 
      8501*T1^2*T2^6 + 9364*T1^3*T2^6 - 64274*T1^4*T2^6 + 90412*T1^5*T2^6 - 
      23352*T1^6*T2^6 - 72948*T1^7*T2^6 + 66718*T1^8*T2^6 - 15564*T1^9*T2^6 - 
      7467*T1^10*T2^6 + 3016*T1^11*T2^6 + 196*T1^12*T2^6 + 672*T1*T2^7 + 
      246*T1^2*T2^7 - 15249*T1^3*T2^7 + 35914*T1^4*T2^7 - 8524*T1^5*T2^7 - 
      72948*T1^6*T2^7 + 118672*T1^7*T2^7 - 46380*T1^8*T2^7 - 
      18902*T1^9*T2^7 + 23023*T1^10*T2^7 - 3802*T1^11*T2^7 - 
      1088*T1^12*T2^7 - 730*T1^2*T2^8 + 4900*T1^3*T2^8 - 2255*T1^4*T2^8 - 
      30070*T1^5*T2^8 + 66718*T1^6*T2^8 - 46380*T1^7*T2^8 - 36038*T1^8*T2^8 + 
      58250*T1^9*T2^8 - 25783*T1^10*T2^8 - 1260*T1^11*T2^8 + 
      2598*T1^12*T2^8 - 154*T1^3*T2^9 - 4252*T1^4*T2^9 + 16783*T1^5*T2^9 - 
      15564*T1^6*T2^9 - 18902*T1^7*T2^9 + 58250*T1^8*T2^9 - 39776*T1^9*T2^9 + 
      3471*T1^10*T2^9 + 9388*T1^11*T2^9 - 3466*T1^12*T2^9 + 934*T1^4*T2^10 - 
      1162*T1^5*T2^10 - 7467*T1^6*T2^10 + 23023*T1^7*T2^10 - 
      25783*T1^8*T2^10 + 3471*T1^9*T2^10 + 12501*T1^10*T2^10 - 
      10314*T1^11*T2^10 + 2598*T1^12*T2^10 - 736*T1^5*T2^11 + 
      3016*T1^6*T2^11 - 3802*T1^7*T2^11 - 1260*T1^8*T2^11 + 9388*T1^9*T2^11 - 
      10314*T1^10*T2^11 + 5304*T1^11*T2^11 - 1088*T1^12*T2^11 + 
      196*T1^6*T2^12 - 1088*T1^7*T2^12 + 2598*T1^8*T2^12 - 3466*T1^9*T2^12 + 
      2598*T1^10*T2^12 - 1088*T1^11*T2^12 + 196*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 976] -> 
  {(4 - 25*T + 66*T^2 - 89*T^3 + 66*T^4 - 25*T^5 + 4*T^6)/T^3, 
   (-124 + 772*T1 - 2036*T1^2 + 2750*T1^3 - 2036*T1^4 + 772*T1^5 - 124*T1^6 + 
     772*T2 - 4430*T1*T2 + 10354*T1^2*T2 - 11030*T1^3*T2 + 4470*T1^4*T2 + 
     1254*T1^5*T2 - 1530*T1^6*T2 + 372*T1^7*T2 - 2036*T2^2 + 10354*T1*T2^2 - 
     19029*T1^2*T2^2 + 7081*T1^3*T2^2 + 18627*T1^4*T2^2 - 26711*T1^5*T2^2 + 
     13707*T1^6*T2^2 - 2846*T1^7*T2^2 + 76*T1^8*T2^2 + 2750*T2^3 - 
     11030*T1*T2^3 + 7081*T1^2*T2^3 + 39626*T1^3*T2^3 - 88521*T1^4*T2^3 + 
     70041*T1^5*T2^3 - 11200*T1^6*T2^3 - 15557*T1^7*T2^3 + 9070*T1^8*T2^3 - 
     1522*T1^9*T2^3 - 2036*T2^4 + 4470*T1*T2^4 + 18627*T1^2*T2^4 - 
     88521*T1^3*T2^4 + 117276*T1^4*T2^4 - 13444*T1^5*T2^4 - 
     102052*T1^6*T2^4 + 93395*T1^7*T2^4 - 22927*T1^8*T2^4 - 4130*T1^9*T2^4 + 
     2188*T1^10*T2^4 + 772*T2^5 + 1254*T1*T2^5 - 26711*T1^2*T2^5 + 
     70041*T1^3*T2^5 - 13444*T1^4*T2^5 - 194692*T1^5*T2^5 + 
     279828*T1^6*T2^5 - 120628*T1^7*T2^5 - 41813*T1^8*T2^5 + 
     40543*T1^9*T2^5 - 6046*T1^10*T2^5 - 1228*T1^11*T2^5 - 124*T2^6 - 
     1530*T1*T2^6 + 13707*T1^2*T2^6 - 11200*T1^3*T2^6 - 102052*T1^4*T2^6 + 
     279828*T1^5*T2^6 - 178464*T1^6*T2^6 - 125140*T1^7*T2^6 + 
     221928*T1^8*T2^6 - 72544*T1^9*T2^6 - 7609*T1^10*T2^6 + 6070*T1^11*T2^6 + 
     260*T1^12*T2^6 + 372*T1*T2^7 - 2846*T1^2*T2^7 - 15557*T1^3*T2^7 + 
     93395*T1^4*T2^7 - 120628*T1^5*T2^7 - 125140*T1^6*T2^7 + 
     349380*T1^7*T2^7 - 227812*T1^8*T2^7 - 18459*T1^9*T2^7 + 
     51697*T1^10*T2^7 - 10146*T1^11*T2^7 - 1628*T1^12*T2^7 + 76*T1^2*T2^8 + 
     9070*T1^3*T2^8 - 22927*T1^4*T2^8 - 41813*T1^5*T2^8 + 221928*T1^6*T2^8 - 
     227812*T1^7*T2^8 + 2600*T1^8*T2^8 + 140103*T1^9*T2^8 - 
     64481*T1^10*T2^8 + 470*T1^11*T2^8 + 4300*T1^12*T2^8 - 1522*T1^3*T2^9 - 
     4130*T1^4*T2^9 + 40543*T1^5*T2^9 - 72544*T1^6*T2^9 - 18459*T1^7*T2^9 + 
     140103*T1^8*T2^9 - 123370*T1^9*T2^9 + 17905*T1^10*T2^9 + 
     15970*T1^11*T2^9 - 5794*T1^12*T2^9 + 2188*T1^4*T2^10 - 6046*T1^5*T2^10 - 
     7609*T1^6*T2^10 + 51697*T1^7*T2^10 - 64481*T1^8*T2^10 + 
     17905*T1^9*T2^10 + 25127*T1^10*T2^10 - 19246*T1^11*T2^10 + 
     4300*T1^12*T2^10 - 1228*T1^5*T2^11 + 6070*T1^6*T2^11 - 
     10146*T1^7*T2^11 + 470*T1^8*T2^11 + 15970*T1^9*T2^11 - 
     19246*T1^10*T2^11 + 8970*T1^11*T2^11 - 1628*T1^12*T2^11 + 
     260*T1^6*T2^12 - 1628*T1^7*T2^12 + 4300*T1^8*T2^12 - 5794*T1^9*T2^12 + 
     4300*T1^10*T2^12 - 1628*T1^11*T2^12 + 260*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 977] -> 
  {-((2 - 10*T + 22*T^2 - 34*T^3 + 39*T^4 - 34*T^5 + 22*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-57 + 283*T1 - 618*T1^2 + 951*T1^3 - 1089*T1^4 + 951*T1^5 - 
      618*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1871*T1^2*T2 - 
      2103*T1^3*T2 + 1370*T1^4*T2 - 90*T1^5*T2 - 983*T1^6*T2 + 1231*T1^7*T2 - 
      924*T1^8*T2 + 243*T1^9*T2 - 618*T2^2 + 1871*T1*T2^2 - 1187*T1^2*T2^2 - 
      568*T1^3*T2^2 + 3575*T1^4*T2^2 - 5461*T1^5*T2^2 + 5071*T1^6*T2^2 - 
      2680*T1^7*T2^2 + 573*T1^8*T2^2 + 991*T1^9*T2^2 - 442*T1^10*T2^2 + 
      951*T2^3 - 2103*T1*T2^3 - 568*T1^2*T2^3 + 2568*T1^3*T2^3 - 
      4986*T1^4*T2^3 + 3945*T1^5*T2^3 - 691*T1^6*T2^3 - 2662*T1^7*T2^3 + 
      2872*T1^8*T2^3 - 2416*T1^9*T2^3 - 503*T1^10*T2^3 + 543*T1^11*T2^3 - 
      1089*T2^4 + 1370*T1*T2^4 + 3575*T1^2*T2^4 - 4986*T1^3*T2^4 + 
      7451*T1^4*T2^4 - 5215*T1^5*T2^4 + 2663*T1^6*T2^4 - 1143*T1^7*T2^4 + 
      2675*T1^8*T2^4 - 1994*T1^9*T2^4 + 3639*T1^10*T2^4 - 390*T1^11*T2^4 - 
      465*T1^12*T2^4 + 951*T2^5 - 90*T1*T2^5 - 5461*T1^2*T2^5 + 
      3945*T1^3*T2^5 - 5215*T1^4*T2^5 + 1306*T1^5*T2^5 - 43*T1^6*T2^5 - 
      7*T1^7*T2^5 - 1896*T1^8*T2^5 - 291*T1^9*T2^5 - 1259*T1^10*T2^5 - 
      2737*T1^11*T2^5 + 970*T1^12*T2^5 + 271*T1^13*T2^5 - 618*T2^6 - 
      983*T1*T2^6 + 5071*T1^2*T2^6 - 691*T1^3*T2^6 + 2663*T1^4*T2^6 - 
      43*T1^5*T2^6 + 2171*T1^6*T2^6 - 3339*T1^7*T2^6 + 3983*T1^8*T2^6 + 
      117*T1^9*T2^6 + 1039*T1^10*T2^6 + 3093*T1^11*T2^6 + 711*T1^12*T2^6 - 
      903*T1^13*T2^6 - 90*T1^14*T2^6 + 283*T2^7 + 1231*T1*T2^7 - 
      2680*T1^2*T2^7 - 2662*T1^3*T2^7 - 1143*T1^4*T2^7 - 7*T1^5*T2^7 - 
      3339*T1^6*T2^7 + 3116*T1^7*T2^7 - 1538*T1^8*T2^7 - 2519*T1^9*T2^7 + 
      205*T1^10*T2^7 - 2659*T1^11*T2^7 - 2314*T1^12*T2^7 + 752*T1^13*T2^7 + 
      431*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 924*T1*T2^8 + 573*T1^2*T2^8 + 
      2872*T1^3*T2^8 + 2675*T1^4*T2^8 - 1896*T1^5*T2^8 + 3983*T1^6*T2^8 - 
      1538*T1^7*T2^8 - 1020*T1^8*T2^8 + 2982*T1^9*T2^8 + 431*T1^10*T2^8 + 
      832*T1^11*T2^8 + 2995*T1^12*T2^8 + 248*T1^13*T2^8 - 851*T1^14*T2^8 - 
      44*T1^15*T2^8 + 7*T1^16*T2^8 + 243*T1*T2^9 + 991*T1^2*T2^9 - 
      2416*T1^3*T2^9 - 1994*T1^4*T2^9 - 291*T1^5*T2^9 + 117*T1^6*T2^9 - 
      2519*T1^7*T2^9 + 2982*T1^8*T2^9 - 1672*T1^9*T2^9 - 1699*T1^10*T2^9 + 
      329*T1^11*T2^9 - 1807*T1^12*T2^9 - 1646*T1^13*T2^9 + 1016*T1^14*T2^9 + 
      191*T1^15*T2^9 - 37*T1^16*T2^9 - 442*T1^2*T2^10 - 503*T1^3*T2^10 + 
      3639*T1^4*T2^10 - 1259*T1^5*T2^10 + 1039*T1^6*T2^10 + 205*T1^7*T2^10 + 
      431*T1^8*T2^10 - 1699*T1^9*T2^10 + 2243*T1^10*T2^10 + 365*T1^11*T2^10 - 
      585*T1^12*T2^10 + 2525*T1^13*T2^10 - 721*T1^14*T2^10 - 
      423*T1^15*T2^10 + 86*T1^16*T2^10 + 543*T1^3*T2^11 - 390*T1^4*T2^11 - 
      2737*T1^5*T2^11 + 3093*T1^6*T2^11 - 2659*T1^7*T2^11 + 832*T1^8*T2^11 + 
      329*T1^9*T2^11 + 365*T1^10*T2^11 - 2370*T1^11*T2^11 + 
      2265*T1^12*T2^11 - 2111*T1^13*T2^11 - 13*T1^14*T2^11 + 
      670*T1^15*T2^11 - 137*T1^16*T2^11 - 465*T1^4*T2^12 + 970*T1^5*T2^12 + 
      711*T1^6*T2^12 - 2314*T1^7*T2^12 + 2995*T1^8*T2^12 - 1807*T1^9*T2^12 - 
      585*T1^10*T2^12 + 2265*T1^11*T2^12 - 1781*T1^12*T2^12 + 
      678*T1^13*T2^12 + 775*T1^14*T2^12 - 790*T1^15*T2^12 + 159*T1^16*T2^12 + 
      271*T1^5*T2^13 - 903*T1^6*T2^13 + 752*T1^7*T2^13 + 248*T1^8*T2^13 - 
      1646*T1^9*T2^13 + 2525*T1^10*T2^13 - 2111*T1^11*T2^13 + 
      678*T1^12*T2^13 + 552*T1^13*T2^13 - 1096*T1^14*T2^13 + 
      697*T1^15*T2^13 - 137*T1^16*T2^13 - 90*T1^6*T2^14 + 431*T1^7*T2^14 - 
      851*T1^8*T2^14 + 1016*T1^9*T2^14 - 721*T1^10*T2^14 - 13*T1^11*T2^14 + 
      775*T1^12*T2^14 - 1096*T1^13*T2^14 + 909*T1^14*T2^14 - 
      449*T1^15*T2^14 + 86*T1^16*T2^14 + 3*T1^7*T2^15 - 44*T1^8*T2^15 + 
      191*T1^9*T2^15 - 423*T1^10*T2^15 + 670*T1^11*T2^15 - 790*T1^12*T2^15 + 
      697*T1^13*T2^15 - 449*T1^14*T2^15 + 196*T1^15*T2^15 - 37*T1^16*T2^15 + 
      7*T1^8*T2^16 - 37*T1^9*T2^16 + 86*T1^10*T2^16 - 137*T1^11*T2^16 + 
      159*T1^12*T2^16 - 137*T1^13*T2^16 + 86*T1^14*T2^16 - 37*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 978] -> 
  {-((3 - 15*T + 30*T^2 - 37*T^3 + 30*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-144 + 714*T1 - 1422*T1^2 + 1754*T1^3 - 1422*T1^4 + 714*T1^5 - 
      144*T1^6 + 714*T2 - 2961*T1*T2 + 4185*T1^2*T2 - 2994*T1^3*T2 + 
      21*T1^4*T2 + 2160*T1^5*T2 - 2151*T1^6*T2 + 579*T1^7*T2 - 1422*T2^2 + 
      4185*T1*T2^2 - 771*T1^2*T2^2 - 6541*T1^3*T2^2 + 12109*T1^4*T2^2 - 
      10501*T1^5*T2^2 + 4089*T1^6*T2^2 + 1485*T1^7*T2^2 - 882*T1^8*T2^2 + 
      1754*T2^3 - 2994*T1*T2^3 - 6541*T1^2*T2^3 + 14375*T1^3*T2^3 - 
      13144*T1^4*T2^3 + 2021*T1^5*T2^3 + 7445*T1^6*T2^3 - 8431*T1^7*T2^3 + 
      651*T1^8*T2^3 + 755*T1^9*T2^3 - 1422*T2^4 + 21*T1*T2^4 + 
      12109*T1^2*T2^4 - 13144*T1^3*T2^4 + 3064*T1^4*T2^4 + 10234*T1^5*T2^4 - 
      11636*T1^6*T2^4 + 3506*T1^7*T2^4 + 6259*T1^8*T2^4 - 2049*T1^9*T2^4 - 
      342*T1^10*T2^4 + 714*T2^5 + 2160*T1*T2^5 - 10501*T1^2*T2^5 + 
      2021*T1^3*T2^5 + 10234*T1^4*T2^5 - 14293*T1^5*T2^5 + 3377*T1^6*T2^5 + 
      7534*T1^7*T2^5 - 10174*T1^8*T2^5 - 331*T1^9*T2^5 + 1485*T1^10*T2^5 + 
      39*T1^11*T2^5 - 144*T2^6 - 2151*T1*T2^6 + 4089*T1^2*T2^6 + 
      7445*T1^3*T2^6 - 11636*T1^4*T2^6 + 3377*T1^5*T2^6 + 10464*T1^6*T2^6 - 
      12733*T1^7*T2^6 + 5284*T1^8*T2^6 + 5447*T1^9*T2^6 - 2391*T1^10*T2^6 - 
      261*T1^11*T2^6 + 18*T1^12*T2^6 + 579*T1*T2^7 + 1485*T1^2*T2^7 - 
      8431*T1^3*T2^7 + 3506*T1^4*T2^7 + 7534*T1^5*T2^7 - 12733*T1^6*T2^7 + 
      4937*T1^7*T2^7 + 4834*T1^8*T2^7 - 8689*T1^9*T2^7 + 1739*T1^10*T2^7 + 
      810*T1^11*T2^7 - 96*T1^12*T2^7 - 882*T1^2*T2^8 + 651*T1^3*T2^8 + 
      6259*T1^4*T2^8 - 10174*T1^5*T2^8 + 5284*T1^6*T2^8 + 4834*T1^7*T2^8 - 
      9416*T1^8*T2^8 + 6476*T1^9*T2^8 + 409*T1^10*T2^8 - 1419*T1^11*T2^8 + 
      198*T1^12*T2^8 + 755*T1^3*T2^9 - 2049*T1^4*T2^9 - 331*T1^5*T2^9 + 
      5447*T1^6*T2^9 - 8689*T1^7*T2^9 + 6476*T1^8*T2^9 - 1483*T1^9*T2^9 - 
      2221*T1^10*T2^9 + 1596*T1^11*T2^9 - 244*T1^12*T2^9 - 342*T1^4*T2^10 + 
      1485*T1^5*T2^10 - 2391*T1^6*T2^10 + 1739*T1^7*T2^10 + 409*T1^8*T2^10 - 
      2221*T1^9*T2^10 + 2469*T1^10*T2^10 - 1215*T1^11*T2^10 + 
      198*T1^12*T2^10 + 39*T1^5*T2^11 - 261*T1^6*T2^11 + 810*T1^7*T2^11 - 
      1419*T1^8*T2^11 + 1596*T1^9*T2^11 - 1215*T1^10*T2^11 + 
      549*T1^11*T2^11 - 96*T1^12*T2^11 + 18*T1^6*T2^12 - 96*T1^7*T2^12 + 
      198*T1^8*T2^12 - 244*T1^9*T2^12 + 198*T1^10*T2^12 - 96*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 979] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)^2*(1 - 2*T + 2*T^2))/T^4, 
   (-31 + 156*T1 - 422*T1^2 + 720*T1^3 - 861*T1^4 + 720*T1^5 - 422*T1^6 + 
     156*T1^7 - 31*T1^8 + 156*T2 - 668*T1*T2 + 1536*T1^2*T2 - 2036*T1^3*T2 + 
     1628*T1^4*T2 - 392*T1^5*T2 - 576*T1^6*T2 + 796*T1^7*T2 - 428*T1^8*T2 + 
     116*T1^9*T2 - 422*T2^2 + 1536*T1*T2^2 - 2997*T1^2*T2^2 + 
     2846*T1^3*T2^2 - 876*T1^4*T2^2 - 1731*T1^5*T2^2 + 2148*T1^6*T2^2 - 
     1042*T1^7*T2^2 - 297*T1^8*T2^2 + 456*T1^9*T2^2 - 206*T1^10*T2^2 + 
     720*T2^3 - 2036*T1*T2^3 + 2846*T1^2*T2^3 - 150*T1^3*T2^3 - 
     3614*T1^4*T2^3 + 5384*T1^5*T2^3 - 1738*T1^6*T2^3 - 1844*T1^7*T2^3 + 
     3108*T1^8*T2^3 - 1366*T1^9*T2^3 + 184*T1^10*T2^3 + 168*T1^11*T2^3 - 
     861*T2^4 + 1628*T1*T2^4 - 876*T1^2*T2^4 - 3614*T1^3*T2^4 + 
     4991*T1^4*T2^4 - 1039*T1^5*T2^4 - 7619*T1^6*T2^4 + 8881*T1^7*T2^4 - 
     4809*T1^8*T2^4 - 854*T1^9*T2^4 + 1804*T1^10*T2^4 - 932*T1^11*T2^4 + 
     19*T1^12*T2^4 + 720*T2^5 - 392*T1*T2^5 - 1731*T1^2*T2^5 + 
     5384*T1^3*T2^5 - 1039*T1^4*T2^5 - 8070*T1^5*T2^5 + 14937*T1^6*T2^5 - 
     7075*T1^7*T2^5 - 2574*T1^8*T2^5 + 6907*T1^9*T2^5 - 3102*T1^10*T2^5 - 
     135*T1^11*T2^5 + 908*T1^12*T2^5 - 200*T1^13*T2^5 - 422*T2^6 - 
     576*T1*T2^6 + 2148*T1^2*T2^6 - 1738*T1^3*T2^6 - 7619*T1^4*T2^6 + 
     14937*T1^5*T2^6 - 10712*T1^6*T2^6 - 6642*T1^7*T2^6 + 14308*T1^8*T2^6 - 
     9367*T1^9*T2^6 - 189*T1^10*T2^6 + 3338*T1^11*T2^6 - 1564*T1^12*T2^6 - 
     136*T1^13*T2^6 + 226*T1^14*T2^6 + 156*T2^7 + 796*T1*T2^7 - 
     1042*T1^2*T2^7 - 1844*T1^3*T2^7 + 8881*T1^4*T2^7 - 7075*T1^5*T2^7 - 
     6642*T1^6*T2^7 + 19170*T1^7*T2^7 - 12632*T1^8*T2^7 - 3122*T1^9*T2^7 + 
     10353*T1^10*T2^7 - 6961*T1^11*T2^7 + 346*T1^12*T2^7 + 1226*T1^13*T2^7 - 
     504*T1^14*T2^7 - 124*T1^15*T2^7 - 31*T2^8 - 428*T1*T2^8 - 
     297*T1^2*T2^8 + 3108*T1^3*T2^8 - 4809*T1^4*T2^8 - 2574*T1^5*T2^8 + 
     14308*T1^6*T2^8 - 12632*T1^7*T2^8 - 2892*T1^8*T2^8 + 15568*T1^9*T2^8 - 
     10232*T1^10*T2^8 + 618*T1^11*T2^8 + 5763*T1^12*T2^8 - 2860*T1^13*T2^8 + 
     399*T1^14*T2^8 + 452*T1^15*T2^8 + 33*T1^16*T2^8 + 116*T1*T2^9 + 
     456*T1^2*T2^9 - 1366*T1^3*T2^9 - 854*T1^4*T2^9 + 6907*T1^5*T2^9 - 
     9367*T1^6*T2^9 - 3122*T1^7*T2^9 + 15568*T1^8*T2^9 - 16234*T1^9*T2^9 + 
     398*T1^10*T2^9 + 8061*T1^11*T2^9 - 8935*T1^12*T2^9 + 1336*T1^13*T2^9 + 
     902*T1^14*T2^9 - 844*T1^15*T2^9 - 164*T1^16*T2^9 - 206*T1^2*T2^10 + 
     184*T1^3*T2^10 + 1804*T1^4*T2^10 - 3102*T1^5*T2^10 - 189*T1^6*T2^10 + 
     10353*T1^7*T2^10 - 10232*T1^8*T2^10 + 398*T1^9*T2^10 + 
     14788*T1^10*T2^10 - 13951*T1^11*T2^10 + 7241*T1^12*T2^10 + 
     1974*T1^13*T2^10 - 1908*T1^14*T2^10 + 624*T1^15*T2^10 + 
     442*T1^16*T2^10 + 168*T1^3*T2^11 - 932*T1^4*T2^11 - 135*T1^5*T2^11 + 
     3338*T1^6*T2^11 - 6961*T1^7*T2^11 + 618*T1^8*T2^11 + 8061*T1^9*T2^11 - 
     13951*T1^10*T2^11 + 6114*T1^11*T2^11 + 985*T1^12*T2^11 - 
     5148*T1^13*T2^11 + 1461*T1^14*T2^11 + 368*T1^15*T2^11 - 
     752*T1^16*T2^11 + 19*T1^4*T2^12 + 908*T1^5*T2^12 - 1564*T1^6*T2^12 + 
     346*T1^7*T2^12 + 5763*T1^8*T2^12 - 8935*T1^9*T2^12 + 7241*T1^10*T2^12 + 
     985*T1^11*T2^12 - 4037*T1^12*T2^12 + 3106*T1^13*T2^12 + 
     1116*T1^14*T2^12 - 1652*T1^15*T2^12 + 899*T1^16*T2^12 - 200*T1^5*T2^13 - 
     136*T1^6*T2^13 + 1226*T1^7*T2^13 - 2860*T1^8*T2^13 + 1336*T1^9*T2^13 + 
     1974*T1^10*T2^13 - 5148*T1^11*T2^13 + 3106*T1^12*T2^13 + 
     398*T1^13*T2^13 - 2986*T1^14*T2^13 + 2084*T1^15*T2^13 - 
     752*T1^16*T2^13 + 226*T1^6*T2^14 - 504*T1^7*T2^14 + 399*T1^8*T2^14 + 
     902*T1^9*T2^14 - 1908*T1^10*T2^14 + 1461*T1^11*T2^14 + 
     1116*T1^12*T2^14 - 2986*T1^13*T2^14 + 3099*T1^14*T2^14 - 
     1584*T1^15*T2^14 + 442*T1^16*T2^14 - 124*T1^7*T2^15 + 452*T1^8*T2^15 - 
     844*T1^9*T2^15 + 624*T1^10*T2^15 + 368*T1^11*T2^15 - 1652*T1^12*T2^15 + 
     2084*T1^13*T2^15 - 1584*T1^14*T2^15 + 692*T1^15*T2^15 - 
     164*T1^16*T2^15 + 33*T1^8*T2^16 - 164*T1^9*T2^16 + 442*T1^10*T2^16 - 
     752*T1^11*T2^16 + 899*T1^12*T2^16 - 752*T1^13*T2^16 + 442*T1^14*T2^16 - 
     164*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 980] -> 
  {(2 - 11*T + 31*T^2 - 53*T^3 + 63*T^4 - 53*T^5 + 31*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-15 + 84*T1 - 239*T1^2 + 412*T1^3 - 491*T1^4 + 412*T1^5 - 
     239*T1^6 + 84*T1^7 - 15*T1^8 + 84*T2 - 430*T1*T2 + 1109*T1^2*T2 - 
     1648*T1^3*T2 + 1607*T1^4*T2 - 945*T1^5*T2 + 200*T1^6*T2 + 185*T1^7*T2 - 
     144*T1^8*T2 + 40*T1^9*T2 - 239*T2^2 + 1109*T1*T2^2 - 2522*T1^2*T2^2 + 
     2908*T1^3*T2^2 - 1550*T1^4*T2^2 - 876*T1^5*T2^2 + 2418*T1^6*T2^2 - 
     2300*T1^7*T2^2 + 1074*T1^8*T2^2 - 255*T1^9*T2^2 + 9*T1^10*T2^2 + 
     412*T2^3 - 1648*T1*T2^3 + 2908*T1^2*T2^3 - 1131*T1^3*T2^3 - 
     3227*T1^4*T2^3 + 6829*T1^5*T2^3 - 6015*T1^6*T2^3 + 1885*T1^7*T2^3 + 
     2037*T1^8*T2^3 - 2517*T1^9*T2^3 + 1168*T1^10*T2^3 - 224*T1^11*T2^3 - 
     491*T2^4 + 1607*T1*T2^4 - 1550*T1^2*T2^4 - 3227*T1^3*T2^4 + 
     8752*T1^4*T2^4 - 8211*T1^5*T2^4 + 254*T1^6*T2^4 + 7933*T1^7*T2^4 - 
     9476*T1^8*T2^4 + 3875*T1^9*T2^4 + 1248*T1^10*T2^4 - 1605*T1^11*T2^4 + 
     517*T1^12*T2^4 + 412*T2^5 - 945*T1*T2^5 - 876*T1^2*T2^5 + 
     6829*T1^3*T2^5 - 8211*T1^4*T2^5 - 2746*T1^5*T2^5 + 17065*T1^6*T2^5 - 
     21147*T1^7*T2^5 + 10570*T1^8*T2^5 + 3738*T1^9*T2^5 - 8171*T1^10*T2^5 + 
     2277*T1^11*T2^5 + 727*T1^12*T2^5 - 648*T1^13*T2^5 - 239*T2^6 + 
     200*T1*T2^6 + 2418*T1^2*T2^6 - 6015*T1^3*T2^6 + 254*T1^4*T2^6 + 
     17065*T1^5*T2^6 - 22291*T1^6*T2^6 + 8299*T1^7*T2^6 + 15545*T1^8*T2^6 - 
     24451*T1^9*T2^6 + 13368*T1^10*T2^6 + 3595*T1^11*T2^6 - 3890*T1^12*T2^6 + 
     772*T1^13*T2^6 + 505*T1^14*T2^6 + 84*T2^7 + 185*T1*T2^7 - 
     2300*T1^2*T2^7 + 1885*T1^3*T2^7 + 7933*T1^4*T2^7 - 21147*T1^5*T2^7 + 
     8299*T1^6*T2^7 + 14437*T1^7*T2^7 - 28459*T1^8*T2^7 + 13030*T1^9*T2^7 + 
     10457*T1^10*T2^7 - 20796*T1^11*T2^7 + 4733*T1^12*T2^7 + 
     1823*T1^13*T2^7 - 1531*T1^14*T2^7 - 224*T1^15*T2^7 - 15*T2^8 - 
     144*T1*T2^8 + 1074*T1^2*T2^8 + 2037*T1^3*T2^8 - 9476*T1^4*T2^8 + 
     10570*T1^5*T2^8 + 15545*T1^6*T2^8 - 28459*T1^7*T2^8 + 20304*T1^8*T2^8 + 
     10571*T1^9*T2^8 - 23413*T1^10*T2^8 + 13802*T1^11*T2^8 + 
     11428*T1^12*T2^8 - 8201*T1^13*T2^8 + 1768*T1^14*T2^8 + 956*T1^15*T2^8 + 
     49*T1^16*T2^8 + 40*T1*T2^9 - 255*T1^2*T2^9 - 2517*T1^3*T2^9 + 
     3875*T1^4*T2^9 + 3738*T1^5*T2^9 - 24451*T1^6*T2^9 + 13030*T1^7*T2^9 + 
     10571*T1^8*T2^9 - 32325*T1^9*T2^9 + 17761*T1^10*T2^9 + 7153*T1^11*T2^9 - 
     24991*T1^12*T2^9 + 6723*T1^13*T2^9 + 1606*T1^14*T2^9 - 1971*T1^15*T2^9 - 
     268*T1^16*T2^9 + 9*T1^2*T2^10 + 1168*T1^3*T2^10 + 1248*T1^4*T2^10 - 
     8171*T1^5*T2^10 + 13368*T1^6*T2^10 + 10457*T1^7*T2^10 - 
     23413*T1^8*T2^10 + 17761*T1^9*T2^10 + 14423*T1^10*T2^10 - 
     31059*T1^11*T2^10 + 26482*T1^12*T2^10 + 1439*T1^13*T2^10 - 
     5060*T1^14*T2^10 + 1740*T1^15*T2^10 + 753*T1^16*T2^10 - 224*T1^3*T2^11 - 
     1605*T1^4*T2^11 + 2277*T1^5*T2^11 + 3595*T1^6*T2^11 - 20796*T1^7*T2^11 + 
     13802*T1^8*T2^11 + 7153*T1^9*T2^11 - 31059*T1^10*T2^11 + 
     27118*T1^11*T2^11 - 8847*T1^12*T2^11 - 11405*T1^13*T2^11 + 
     5430*T1^14*T2^11 + 67*T1^15*T2^11 - 1284*T1^16*T2^11 + 517*T1^4*T2^12 + 
     727*T1^5*T2^12 - 3890*T1^6*T2^12 + 4733*T1^7*T2^12 + 11428*T1^8*T2^12 - 
     24991*T1^9*T2^12 + 26482*T1^10*T2^12 - 8847*T1^11*T2^12 - 
     6800*T1^12*T2^12 + 11835*T1^13*T2^12 - 1092*T1^14*T2^12 - 
     2485*T1^15*T2^12 + 1525*T1^16*T2^12 - 648*T1^5*T2^13 + 772*T1^6*T2^13 + 
     1823*T1^7*T2^13 - 8201*T1^8*T2^13 + 6723*T1^9*T2^13 + 1439*T1^10*T2^13 - 
     11405*T1^11*T2^13 + 11835*T1^12*T2^13 - 5033*T1^13*T2^13 - 
     3602*T1^14*T2^13 + 3588*T1^15*T2^13 - 1284*T1^16*T2^13 + 
     505*T1^6*T2^14 - 1531*T1^7*T2^14 + 1768*T1^8*T2^14 + 1606*T1^9*T2^14 - 
     5060*T1^10*T2^14 + 5430*T1^11*T2^14 - 1092*T1^12*T2^14 - 
     3602*T1^13*T2^14 + 5364*T1^14*T2^14 - 2895*T1^15*T2^14 + 
     753*T1^16*T2^14 - 224*T1^7*T2^15 + 956*T1^8*T2^15 - 1971*T1^9*T2^15 + 
     1740*T1^10*T2^15 + 67*T1^11*T2^15 - 2485*T1^12*T2^15 + 
     3588*T1^13*T2^15 - 2895*T1^14*T2^15 + 1242*T1^15*T2^15 - 
     268*T1^16*T2^15 + 49*T1^8*T2^16 - 268*T1^9*T2^16 + 753*T1^10*T2^16 - 
     1284*T1^11*T2^16 + 1525*T1^12*T2^16 - 1284*T1^13*T2^16 + 
     753*T1^14*T2^16 - 268*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 981] -> 
  {((1 - T + T^2)^3*(1 - T + T^2 - T^3 + T^4))/T^5, 
   (-4 + 16*T1 - 40*T1^2 + 68*T1^3 - 92*T1^4 + 100*T1^5 - 92*T1^6 + 68*T1^7 - 
     40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 112*T1^2*T2 - 
     152*T1^3*T2 + 164*T1^4*T2 - 124*T1^5*T2 + 68*T1^6*T2 + 4*T1^7*T2 - 
     44*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 40*T2^2 + 
     112*T1*T2^2 - 228*T1^2*T2^2 + 281*T1^3*T2^2 - 308*T1^4*T2^2 + 
     246*T1^5*T2^2 - 194*T1^6*T2^2 + 86*T1^7*T2^2 - 48*T1^8*T2^2 + 
     21*T1^9*T2^2 - 48*T1^10*T2^2 + 32*T1^11*T2^2 - 20*T1^12*T2^2 + 68*T2^3 - 
     152*T1*T2^3 + 281*T1^2*T2^3 - 265*T1^3*T2^3 + 271*T1^4*T2^3 - 
     154*T1^5*T2^3 + 130*T1^6*T2^3 + 10*T1^7*T2^3 + 31*T1^8*T2^3 - 
     26*T1^9*T2^3 + 93*T1^10*T2^3 - 29*T1^11*T2^3 + 12*T1^12*T2^3 + 
     17*T1^13*T2^3 - 92*T2^4 + 164*T1*T2^4 - 308*T1^2*T2^4 + 271*T1^3*T2^4 - 
     408*T1^4*T2^4 + 371*T1^5*T2^4 - 488*T1^6*T2^4 + 304*T1^7*T2^4 - 
     380*T1^8*T2^4 + 207*T1^9*T2^4 - 152*T1^10*T2^4 - 69*T1^11*T2^4 + 
     68*T1^12*T2^4 - 68*T1^13*T2^4 + 100*T2^5 - 124*T1*T2^5 + 246*T1^2*T2^5 - 
     154*T1^3*T2^5 + 371*T1^4*T2^5 - 291*T1^5*T2^5 + 435*T1^6*T2^5 - 
     157*T1^7*T2^5 + 338*T1^8*T2^5 - 80*T1^9*T2^5 + 97*T1^10*T2^5 + 
     84*T1^11*T2^5 + 61*T1^12*T2^5 - 70*T1^13*T2^5 + 100*T1^14*T2^5 - 
     25*T1^15*T2^5 - 92*T2^6 + 68*T1*T2^6 - 194*T1^2*T2^6 + 130*T1^3*T2^6 - 
     488*T1^4*T2^6 + 435*T1^5*T2^6 - 672*T1^6*T2^6 + 384*T1^7*T2^6 - 
     608*T1^8*T2^6 + 110*T1^9*T2^6 - 56*T1^10*T2^6 - 195*T1^11*T2^6 + 
     26*T1^12*T2^6 - 56*T1^13*T2^6 + 46*T1^14*T2^6 - 84*T1^15*T2^6 + 
     46*T1^16*T2^6 + 68*T2^7 + 4*T1*T2^7 + 86*T1^2*T2^7 + 10*T1^3*T2^7 + 
     304*T1^4*T2^7 - 157*T1^5*T2^7 + 384*T1^6*T2^7 - 158*T1^7*T2^7 + 
     468*T1^8*T2^7 - 10*T1^9*T2^7 + 174*T1^10*T2^7 - 86*T1^11*T2^7 + 
     264*T1^12*T2^7 - 158*T1^13*T2^7 + 42*T1^14*T2^7 - 14*T1^15*T2^7 + 
     20*T1^16*T2^7 - 51*T1^17*T2^7 - 40*T2^8 - 44*T1*T2^8 - 48*T1^2*T2^8 + 
     31*T1^3*T2^8 - 380*T1^4*T2^8 + 338*T1^5*T2^8 - 608*T1^6*T2^8 + 
     468*T1^7*T2^8 - 582*T1^8*T2^8 - 6*T1^10*T2^8 - 186*T1^11*T2^8 + 
     222*T1^12*T2^8 - 268*T1^13*T2^8 + 324*T1^14*T2^8 - 79*T1^15*T2^8 + 
     40*T1^16*T2^8 + 44*T1^17*T2^8 + 40*T1^18*T2^8 + 16*T2^9 + 56*T1*T2^9 + 
     21*T1^2*T2^9 - 26*T1^3*T2^9 + 207*T1^4*T2^9 - 80*T1^5*T2^9 + 
     110*T1^6*T2^9 - 10*T1^7*T2^9 + 174*T1^9*T2^9 + 64*T1^10*T2^9 - 
     215*T1^11*T2^9 + 116*T1^12*T2^9 - 204*T1^13*T2^9 - 25*T1^14*T2^9 - 
     244*T1^15*T2^9 + 13*T1^16*T2^9 - 69*T1^17*T2^9 - 80*T1^18*T2^9 - 
     20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 48*T1^2*T2^10 + 93*T1^3*T2^10 - 
     152*T1^4*T2^10 + 97*T1^5*T2^10 - 56*T1^6*T2^10 + 174*T1^7*T2^10 - 
     6*T1^8*T2^10 + 64*T1^9*T2^10 + 60*T1^10*T2^10 - 60*T1^11*T2^10 + 
     596*T1^12*T2^10 - 374*T1^13*T2^10 + 644*T1^14*T2^10 - 81*T1^15*T2^10 + 
     336*T1^16*T2^10 - 41*T1^17*T2^10 + 140*T1^18*T2^10 + 56*T1^19*T2^10 + 
     6*T1^20*T2^10 + 12*T1*T2^11 + 32*T1^2*T2^11 - 29*T1^3*T2^11 - 
     69*T1^4*T2^11 + 84*T1^5*T2^11 - 195*T1^6*T2^11 - 86*T1^7*T2^11 - 
     186*T1^8*T2^11 - 215*T1^9*T2^11 - 60*T1^10*T2^11 - 170*T1^11*T2^11 - 
     430*T1^12*T2^11 - 60*T1^13*T2^11 - 400*T1^14*T2^11 - 140*T1^15*T2^11 - 
     367*T1^16*T2^11 - 30*T1^17*T2^11 - 119*T1^18*T2^11 - 104*T1^19*T2^11 - 
     24*T1^20*T2^11 - 20*T1^2*T2^12 + 12*T1^3*T2^12 + 68*T1^4*T2^12 + 
     61*T1^5*T2^12 + 26*T1^6*T2^12 + 264*T1^7*T2^12 + 222*T1^8*T2^12 + 
     116*T1^9*T2^12 + 596*T1^10*T2^12 - 430*T1^11*T2^12 + 1172*T1^12*T2^12 - 
     538*T1^13*T2^12 + 1052*T1^14*T2^12 - 342*T1^15*T2^12 + 730*T1^16*T2^12 - 
     49*T1^17*T2^12 + 156*T1^18*T2^12 + 100*T1^19*T2^12 + 60*T1^20*T2^12 + 
     17*T1^3*T2^13 - 68*T1^4*T2^13 - 70*T1^5*T2^13 - 56*T1^6*T2^13 - 
     158*T1^7*T2^13 - 268*T1^8*T2^13 - 204*T1^9*T2^13 - 374*T1^10*T2^13 - 
     60*T1^11*T2^13 - 538*T1^12*T2^13 - 42*T1^13*T2^13 - 674*T1^14*T2^13 + 
     153*T1^15*T2^13 - 620*T1^16*T2^13 - 24*T1^17*T2^13 - 170*T1^18*T2^13 - 
     52*T1^19*T2^13 - 102*T1^20*T2^13 + 100*T1^5*T2^14 + 46*T1^6*T2^14 + 
     42*T1^7*T2^14 + 324*T1^8*T2^14 - 25*T1^9*T2^14 + 644*T1^10*T2^14 - 
     400*T1^11*T2^14 + 1052*T1^12*T2^14 - 674*T1^13*T2^14 + 
     1260*T1^14*T2^14 - 655*T1^15*T2^14 + 838*T1^16*T2^14 - 144*T1^17*T2^14 + 
     286*T1^18*T2^14 - 52*T1^19*T2^14 + 138*T1^20*T2^14 - 25*T1^5*T2^15 - 
     84*T1^6*T2^15 - 14*T1^7*T2^15 - 79*T1^8*T2^15 - 244*T1^9*T2^15 - 
     81*T1^10*T2^15 - 140*T1^11*T2^15 - 342*T1^12*T2^15 + 153*T1^13*T2^15 - 
     655*T1^14*T2^15 + 307*T1^15*T2^15 - 531*T1^16*T2^15 + 136*T1^17*T2^15 - 
     330*T1^18*T2^15 + 140*T1^19*T2^15 - 150*T1^20*T2^15 + 46*T1^6*T2^16 + 
     20*T1^7*T2^16 + 40*T1^8*T2^16 + 13*T1^9*T2^16 + 336*T1^10*T2^16 - 
     367*T1^11*T2^16 + 730*T1^12*T2^16 - 620*T1^13*T2^16 + 838*T1^14*T2^16 - 
     531*T1^15*T2^16 + 592*T1^16*T2^16 - 327*T1^17*T2^16 + 416*T1^18*T2^16 - 
     212*T1^19*T2^16 + 138*T1^20*T2^16 - 51*T1^7*T2^17 + 44*T1^8*T2^17 - 
     69*T1^9*T2^17 - 41*T1^10*T2^17 - 30*T1^11*T2^17 - 49*T1^12*T2^17 - 
     24*T1^13*T2^17 - 144*T1^14*T2^17 + 136*T1^15*T2^17 - 327*T1^16*T2^17 + 
     317*T1^17*T2^17 - 379*T1^18*T2^17 + 208*T1^19*T2^17 - 102*T1^20*T2^17 + 
     40*T1^8*T2^18 - 80*T1^9*T2^18 + 140*T1^10*T2^18 - 119*T1^11*T2^18 + 
     156*T1^12*T2^18 - 170*T1^13*T2^18 + 286*T1^14*T2^18 - 330*T1^15*T2^18 + 
     416*T1^16*T2^18 - 379*T1^17*T2^18 + 320*T1^18*T2^18 - 160*T1^19*T2^18 + 
     60*T1^20*T2^18 - 20*T1^9*T2^19 + 56*T1^10*T2^19 - 104*T1^11*T2^19 + 
     100*T1^12*T2^19 - 52*T1^13*T2^19 - 52*T1^14*T2^19 + 140*T1^15*T2^19 - 
     212*T1^16*T2^19 + 208*T1^17*T2^19 - 160*T1^18*T2^19 + 76*T1^19*T2^19 - 
     24*T1^20*T2^19 + 6*T1^10*T2^20 - 24*T1^11*T2^20 + 60*T1^12*T2^20 - 
     102*T1^13*T2^20 + 138*T1^14*T2^20 - 150*T1^15*T2^20 + 138*T1^16*T2^20 - 
     102*T1^17*T2^20 + 60*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 982] -> 
  {((1 - T + T^2)^3*(2 - 3*T + 2*T^2))/T^4, 
   (-31 + 140*T1 - 358*T1^2 + 592*T1^3 - 701*T1^4 + 592*T1^5 - 358*T1^6 + 
     140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 1146*T1^2*T2 - 1470*T1^3*T2 + 
     1176*T1^4*T2 - 318*T1^5*T2 - 372*T1^6*T2 + 570*T1^7*T2 - 330*T1^8*T2 + 
     104*T1^9*T2 - 358*T2^2 + 1146*T1*T2^2 - 2177*T1^2*T2^2 + 
     2169*T1^3*T2^2 - 1076*T1^4*T2^2 - 533*T1^5*T2^2 + 948*T1^6*T2^2 - 
     499*T1^7*T2^2 - 245*T1^8*T2^2 + 318*T1^9*T2^2 - 174*T1^10*T2^2 + 
     592*T2^3 - 1470*T1*T2^3 + 2169*T1^2*T2^3 - 785*T1^3*T2^3 - 
     1188*T1^4*T2^3 + 2449*T1^5*T2^3 - 824*T1^6*T2^3 - 873*T1^7*T2^3 + 
     1711*T1^8*T2^3 - 798*T1^9*T2^3 + 168*T1^10*T2^3 + 136*T1^11*T2^3 - 
     701*T2^4 + 1176*T1*T2^4 - 1076*T1^2*T2^4 - 1188*T1^3*T2^4 + 
     1827*T1^4*T2^4 - 360*T1^5*T2^4 - 3713*T1^6*T2^4 + 4248*T1^7*T2^4 - 
     2529*T1^8*T2^4 - 504*T1^9*T2^4 + 1048*T1^10*T2^4 - 696*T1^11*T2^4 + 
     19*T1^12*T2^4 + 592*T2^5 - 318*T1*T2^5 - 533*T1^2*T2^5 + 
     2449*T1^3*T2^5 - 360*T1^4*T2^5 - 3481*T1^5*T2^5 + 7010*T1^6*T2^5 - 
     3577*T1^7*T2^5 - 577*T1^8*T2^5 + 3172*T1^9*T2^5 - 1442*T1^10*T2^5 - 
     86*T1^11*T2^5 + 672*T1^12*T2^5 - 168*T1^13*T2^5 - 358*T2^6 - 
     372*T1*T2^6 + 948*T1^2*T2^6 - 824*T1^3*T2^6 - 3713*T1^4*T2^6 + 
     7010*T1^5*T2^6 - 5784*T1^6*T2^6 - 2092*T1^7*T2^6 + 5880*T1^8*T2^6 - 
     4684*T1^9*T2^6 + 193*T1^10*T2^6 + 1522*T1^11*T2^6 - 876*T1^12*T2^6 - 
     120*T1^13*T2^6 + 194*T1^14*T2^6 + 140*T2^7 + 570*T1*T2^7 - 
     499*T1^2*T2^7 - 873*T1^3*T2^7 + 4248*T1^4*T2^7 - 3577*T1^5*T2^7 - 
     2092*T1^6*T2^7 + 8059*T1^7*T2^7 - 5663*T1^8*T2^7 - 868*T1^9*T2^7 + 
     4796*T1^10*T2^7 - 3588*T1^11*T2^7 + 288*T1^12*T2^7 + 674*T1^13*T2^7 - 
     366*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 - 
     245*T1^2*T2^8 + 1711*T1^3*T2^8 - 2529*T1^4*T2^8 - 577*T1^5*T2^8 + 
     5880*T1^6*T2^8 - 5663*T1^7*T2^8 - 744*T1^8*T2^8 + 6427*T1^9*T2^8 - 
     4616*T1^10*T2^8 + 317*T1^11*T2^8 + 3119*T1^12*T2^8 - 1595*T1^13*T2^8 + 
     349*T1^14*T2^8 + 354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 
     318*T1^2*T2^9 - 798*T1^3*T2^9 - 504*T1^4*T2^9 + 3172*T1^5*T2^9 - 
     4684*T1^6*T2^9 - 868*T1^7*T2^9 + 6427*T1^8*T2^9 - 7295*T1^9*T2^9 + 
     356*T1^10*T2^9 + 3689*T1^11*T2^9 - 4664*T1^12*T2^9 + 657*T1^13*T2^9 + 
     375*T1^14*T2^9 - 618*T1^15*T2^9 - 148*T1^16*T2^9 - 174*T1^2*T2^10 + 
     168*T1^3*T2^10 + 1048*T1^4*T2^10 - 1442*T1^5*T2^10 + 193*T1^6*T2^10 + 
     4796*T1^7*T2^10 - 4616*T1^8*T2^10 + 356*T1^9*T2^10 + 7048*T1^10*T2^10 - 
     6898*T1^11*T2^10 + 4099*T1^12*T2^10 + 904*T1^13*T2^10 - 
     776*T1^14*T2^10 + 420*T1^15*T2^10 + 378*T1^16*T2^10 + 136*T1^3*T2^11 - 
     696*T1^4*T2^11 - 86*T1^5*T2^11 + 1522*T1^6*T2^11 - 3588*T1^7*T2^11 + 
     317*T1^8*T2^11 + 3689*T1^9*T2^11 - 6898*T1^10*T2^11 + 3221*T1^11*T2^11 - 
     56*T1^12*T2^11 - 2369*T1^13*T2^11 + 361*T1^14*T2^11 + 294*T1^15*T2^11 - 
     624*T1^16*T2^11 + 19*T1^4*T2^12 + 672*T1^5*T2^12 - 876*T1^6*T2^12 + 
     288*T1^7*T2^12 + 3119*T1^8*T2^12 - 4664*T1^9*T2^12 + 4099*T1^10*T2^12 - 
     56*T1^11*T2^12 - 1237*T1^12*T2^12 + 972*T1^13*T2^12 + 1248*T1^14*T2^12 - 
     1200*T1^15*T2^12 + 739*T1^16*T2^12 - 168*T1^5*T2^13 - 120*T1^6*T2^13 + 
     674*T1^7*T2^13 - 1595*T1^8*T2^13 + 657*T1^9*T2^13 + 904*T1^10*T2^13 - 
     2369*T1^11*T2^13 + 972*T1^12*T2^13 + 901*T1^13*T2^13 - 
     2293*T1^14*T2^13 + 1518*T1^15*T2^13 - 624*T1^16*T2^13 + 194*T1^6*T2^14 - 
     366*T1^7*T2^14 + 349*T1^8*T2^14 + 375*T1^9*T2^14 - 776*T1^10*T2^14 + 
     361*T1^11*T2^14 + 1248*T1^12*T2^14 - 2293*T1^13*T2^14 + 
     2281*T1^14*T2^14 - 1194*T1^15*T2^14 + 378*T1^16*T2^14 - 112*T1^7*T2^15 + 
     354*T1^8*T2^15 - 618*T1^9*T2^15 + 420*T1^10*T2^15 + 294*T1^11*T2^15 - 
     1200*T1^12*T2^15 + 1518*T1^13*T2^15 - 1194*T1^14*T2^15 + 
     552*T1^15*T2^15 - 148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 
     378*T1^10*T2^16 - 624*T1^11*T2^16 + 739*T1^12*T2^16 - 624*T1^13*T2^16 + 
     378*T1^14*T2^16 - 148*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 983] -> 
  {-((5 - 25*T + 52*T^2 - 65*T^3 + 52*T^4 - 25*T^5 + 5*T^6)/T^3), 
   -((-645 + 3205*T1 - 6629*T1^2 + 8275*T1^3 - 6629*T1^4 + 3205*T1^5 - 
      645*T1^6 + 3205*T2 - 13357*T1*T2 + 20177*T1^2*T2 - 14700*T1^3*T2 - 
      75*T1^4*T2 + 10552*T1^5*T2 - 9607*T1^6*T2 + 2580*T1^7*T2 - 6629*T2^2 + 
      20177*T1*T2^2 - 8734*T1^2*T2^2 - 26508*T1^3*T2^2 + 55044*T1^4*T2^2 - 
      47308*T1^5*T2^2 + 15706*T1^6*T2^2 + 7177*T1^7*T2^2 - 4029*T1^8*T2^2 + 
      8275*T2^3 - 14700*T1*T2^3 - 26508*T1^2*T2^3 + 71451*T1^3*T2^3 - 
      67670*T1^4*T2^3 + 9355*T1^5*T2^3 + 39601*T1^6*T2^3 - 38208*T1^7*T2^3 + 
      3175*T1^8*T2^3 + 3400*T1^9*T2^3 - 6629*T2^4 - 75*T1*T2^4 + 
      55044*T1^2*T2^4 - 67670*T1^3*T2^4 + 10321*T1^4*T2^4 + 65237*T1^5*T2^4 - 
      70799*T1^6*T2^4 + 17480*T1^7*T2^4 + 27874*T1^8*T2^4 - 9825*T1^9*T2^4 - 
      1429*T1^10*T2^4 + 3205*T2^5 + 10552*T1*T2^5 - 47308*T1^2*T2^5 + 
      9355*T1^3*T2^5 + 65237*T1^4*T2^5 - 89957*T1^5*T2^5 + 23953*T1^6*T2^5 + 
      45477*T1^7*T2^5 - 51420*T1^8*T2^5 + 792*T1^9*T2^5 + 6677*T1^10*T2^5 + 
      80*T1^11*T2^5 - 645*T2^6 - 9607*T1*T2^6 + 15706*T1^2*T2^6 + 
      39601*T1^3*T2^6 - 70799*T1^4*T2^6 + 23953*T1^5*T2^6 + 60552*T1^6*T2^6 - 
      78617*T1^7*T2^6 + 28677*T1^8*T2^6 + 24651*T1^9*T2^6 - 
      11954*T1^10*T2^6 - 857*T1^11*T2^6 + 105*T1^12*T2^6 + 2580*T1*T2^7 + 
      7177*T1^2*T2^7 - 38208*T1^3*T2^7 + 17480*T1^4*T2^7 + 45477*T1^5*T2^7 - 
      78617*T1^6*T2^7 + 35293*T1^7*T2^7 + 25717*T1^8*T2^7 - 43295*T1^9*T2^7 + 
      9892*T1^10*T2^7 + 3302*T1^11*T2^7 - 545*T1^12*T2^7 - 4029*T1^2*T2^8 + 
      3175*T1^3*T2^8 + 27874*T1^4*T2^8 - 51420*T1^5*T2^8 + 28677*T1^6*T2^8 + 
      25717*T1^7*T2^8 - 52443*T1^8*T2^8 + 33730*T1^9*T2^8 + 704*T1^10*T2^8 - 
      6575*T1^11*T2^8 + 1171*T1^12*T2^8 + 3400*T1^3*T2^9 - 9825*T1^4*T2^9 + 
      792*T1^5*T2^9 + 24651*T1^6*T2^9 - 43295*T1^7*T2^9 + 33730*T1^8*T2^9 - 
      7199*T1^9*T2^9 - 10908*T1^10*T2^9 + 8050*T1^11*T2^9 - 1475*T1^12*T2^9 - 
      1429*T1^4*T2^10 + 6677*T1^5*T2^10 - 11954*T1^6*T2^10 + 
      9892*T1^7*T2^10 + 704*T1^8*T2^10 - 10908*T1^9*T2^10 + 
      12486*T1^10*T2^10 - 6323*T1^11*T2^10 + 1171*T1^12*T2^10 + 
      80*T1^5*T2^11 - 857*T1^6*T2^11 + 3302*T1^7*T2^11 - 6575*T1^8*T2^11 + 
      8050*T1^9*T2^11 - 6323*T1^10*T2^11 + 2893*T1^11*T2^11 - 
      545*T1^12*T2^11 + 105*T1^6*T2^12 - 545*T1^7*T2^12 + 1171*T1^8*T2^12 - 
      1475*T1^9*T2^12 + 1171*T1^10*T2^12 - 545*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 984] -> 
  {(1 - 4*T + 9*T^2 - 13*T^3 + 16*T^4 - 17*T^5 + 16*T^6 - 13*T^7 + 9*T^8 - 
     4*T^9 + T^10)/T^5, (-2 + 8*T1 - 18*T1^2 + 26*T1^3 - 32*T1^4 + 34*T1^5 - 
     32*T1^6 + 26*T1^7 - 18*T1^8 + 8*T1^9 - 2*T1^10 + 8*T2 - 28*T1*T2 + 
     56*T1^2*T2 - 68*T1^3*T2 + 76*T1^4*T2 - 72*T1^5*T2 + 60*T1^6*T2 - 
     40*T1^7*T2 + 20*T1^8*T2 + 4*T1^9*T2 - 8*T1^10*T2 + 4*T1^11*T2 - 
     18*T2^2 + 56*T1*T2^2 - 101*T1^2*T2^2 + 101*T1^3*T2^2 - 103*T1^4*T2^2 + 
     80*T1^5*T2^2 - 49*T1^6*T2^2 + 8*T1^7*T2^2 + 23*T1^8*T2^2 - 
     61*T1^9*T2^2 + 43*T1^10*T2^2 - 16*T1^11*T2^2 + 26*T2^3 - 68*T1*T2^3 + 
     101*T1^2*T2^3 - 53*T1^3*T2^3 + 39*T1^4*T2^3 - 4*T1^5*T2^3 - 
     18*T1^6*T2^3 + 39*T1^7*T2^3 - 34*T1^8*T2^3 + 51*T1^9*T2^3 + 
     25*T1^10*T2^3 - 70*T1^11*T2^3 + 52*T1^12*T2^3 - 13*T1^13*T2^3 - 
     32*T2^4 + 76*T1*T2^4 - 103*T1^2*T2^4 + 39*T1^3*T2^4 - 66*T1^4*T2^4 + 
     67*T1^5*T2^4 - 59*T1^6*T2^4 + 38*T1^7*T2^4 - 27*T1^8*T2^4 - 
     37*T1^9*T2^4 - 42*T1^10*T2^4 + 39*T1^11*T2^4 + 57*T1^12*T2^4 - 
     76*T1^13*T2^4 + 32*T1^14*T2^4 + 34*T2^5 - 72*T1*T2^5 + 80*T1^2*T2^5 - 
     4*T1^3*T2^5 + 67*T1^4*T2^5 - 84*T1^5*T2^5 + 57*T1^6*T2^5 - 
     75*T1^7*T2^5 + 88*T1^8*T2^5 - 44*T1^9*T2^5 + 180*T1^10*T2^5 - 
     126*T1^11*T2^5 - 42*T1^12*T2^5 - 34*T1^13*T2^5 + 76*T1^14*T2^5 - 
     51*T1^15*T2^5 - 32*T2^6 + 60*T1*T2^6 - 49*T1^2*T2^6 - 18*T1^3*T2^6 - 
     59*T1^4*T2^6 + 57*T1^5*T2^6 + 21*T1^6*T2^6 + 55*T1^7*T2^6 - 
     13*T1^8*T2^6 - 57*T1^9*T2^6 - 59*T1^10*T2^6 - 87*T1^11*T2^6 + 
     245*T1^12*T2^6 + 30*T1^13*T2^6 + 15*T1^14*T2^6 - 52*T1^15*T2^6 + 
     64*T1^16*T2^6 + 26*T2^7 - 40*T1*T2^7 + 8*T1^2*T2^7 + 39*T1^3*T2^7 + 
     38*T1^4*T2^7 - 75*T1^5*T2^7 + 55*T1^6*T2^7 - 326*T1^7*T2^7 + 
     272*T1^8*T2^7 - 318*T1^9*T2^7 + 450*T1^10*T2^7 - 245*T1^11*T2^7 + 
     74*T1^12*T2^7 - 349*T1^13*T2^7 - 30*T1^14*T2^7 + 10*T1^15*T2^7 + 
     4*T1^16*T2^7 - 65*T1^17*T2^7 - 18*T2^8 + 20*T1*T2^8 + 23*T1^2*T2^8 - 
     34*T1^3*T2^8 - 27*T1^4*T2^8 + 88*T1^5*T2^8 - 13*T1^6*T2^8 + 
     272*T1^7*T2^8 + 56*T1^8*T2^8 - 22*T1^9*T2^8 + 88*T1^10*T2^8 - 
     378*T1^11*T2^8 + 497*T1^12*T2^8 - 96*T1^13*T2^8 + 485*T1^14*T2^8 - 
     24*T1^15*T2^8 - T1^16*T2^8 + 44*T1^17*T2^8 + 54*T1^18*T2^8 + 8*T2^9 + 
     4*T1*T2^9 - 61*T1^2*T2^9 + 51*T1^3*T2^9 - 37*T1^4*T2^9 - 44*T1^5*T2^9 - 
     57*T1^6*T2^9 - 318*T1^7*T2^9 - 22*T1^8*T2^9 - 359*T1^9*T2^9 + 
     295*T1^10*T2^9 - 182*T1^11*T2^9 + 152*T1^12*T2^9 - 509*T1^13*T2^9 - 
     115*T1^14*T2^9 - 378*T1^15*T2^9 - 33*T1^16*T2^9 + 38*T1^17*T2^9 - 
     104*T1^18*T2^9 - 28*T1^19*T2^9 - 2*T2^10 - 8*T1*T2^10 + 43*T1^2*T2^10 + 
     25*T1^3*T2^10 - 42*T1^4*T2^10 + 180*T1^5*T2^10 - 59*T1^6*T2^10 + 
     450*T1^7*T2^10 + 88*T1^8*T2^10 + 295*T1^9*T2^10 + 216*T1^10*T2^10 - 
     411*T1^11*T2^10 + 600*T1^12*T2^10 - 362*T1^13*T2^10 + 1009*T1^14*T2^10 - 
     224*T1^15*T2^10 + 636*T1^16*T2^10 - 221*T1^17*T2^10 + 107*T1^18*T2^10 + 
     80*T1^19*T2^10 + 8*T1^20*T2^10 + 4*T1*T2^11 - 16*T1^2*T2^11 - 
     70*T1^3*T2^11 + 39*T1^4*T2^11 - 126*T1^5*T2^11 - 87*T1^6*T2^11 - 
     245*T1^7*T2^11 - 378*T1^8*T2^11 - 182*T1^9*T2^11 - 411*T1^10*T2^11 + 
     243*T1^11*T2^11 - 342*T1^12*T2^11 + 92*T1^13*T2^11 - 697*T1^14*T2^11 - 
     158*T1^15*T2^11 - 467*T1^16*T2^11 - 45*T1^17*T2^11 + 29*T1^18*T2^11 - 
     124*T1^19*T2^11 - 32*T1^20*T2^11 + 52*T1^3*T2^12 + 57*T1^4*T2^12 - 
     42*T1^5*T2^12 + 245*T1^6*T2^12 + 74*T1^7*T2^12 + 497*T1^8*T2^12 + 
     152*T1^9*T2^12 + 600*T1^10*T2^12 - 342*T1^11*T2^12 + 632*T1^12*T2^12 - 
     498*T1^13*T2^12 + 1007*T1^14*T2^12 - 110*T1^15*T2^12 + 757*T1^16*T2^12 - 
     32*T1^17*T2^12 + 33*T1^18*T2^12 + 76*T1^19*T2^12 + 72*T1^20*T2^12 - 
     13*T1^3*T2^13 - 76*T1^4*T2^13 - 34*T1^5*T2^13 + 30*T1^6*T2^13 - 
     349*T1^7*T2^13 - 96*T1^8*T2^13 - 509*T1^9*T2^13 - 362*T1^10*T2^13 + 
     92*T1^11*T2^13 - 498*T1^12*T2^13 + 414*T1^13*T2^13 - 809*T1^14*T2^13 + 
     53*T1^15*T2^13 - 736*T1^16*T2^13 - 39*T1^17*T2^13 - 32*T1^18*T2^13 - 
     32*T1^19*T2^13 - 104*T1^20*T2^13 + 32*T1^4*T2^14 + 76*T1^5*T2^14 + 
     15*T1^6*T2^14 - 30*T1^7*T2^14 + 485*T1^8*T2^14 - 115*T1^9*T2^14 + 
     1009*T1^10*T2^14 - 697*T1^11*T2^14 + 1007*T1^12*T2^14 - 
     809*T1^13*T2^14 + 929*T1^14*T2^14 - 259*T1^15*T2^14 + 789*T1^16*T2^14 + 
     18*T1^17*T2^14 + 79*T1^18*T2^14 - 36*T1^19*T2^14 + 128*T1^20*T2^14 - 
     51*T1^5*T2^15 - 52*T1^6*T2^15 + 10*T1^7*T2^15 - 24*T1^8*T2^15 - 
     378*T1^9*T2^15 - 224*T1^10*T2^15 - 158*T1^11*T2^15 - 110*T1^12*T2^15 + 
     53*T1^13*T2^15 - 259*T1^14*T2^15 + 40*T1^15*T2^15 - 571*T1^16*T2^15 - 
     62*T1^17*T2^15 - 104*T1^18*T2^15 + 96*T1^19*T2^15 - 136*T1^20*T2^15 + 
     64*T1^6*T2^16 + 4*T1^7*T2^16 - T1^8*T2^16 - 33*T1^9*T2^16 + 
     636*T1^10*T2^16 - 467*T1^11*T2^16 + 757*T1^12*T2^16 - 736*T1^13*T2^16 + 
     789*T1^14*T2^16 - 571*T1^15*T2^16 + 660*T1^16*T2^16 - 33*T1^17*T2^16 + 
     159*T1^18*T2^16 - 148*T1^19*T2^16 + 128*T1^20*T2^16 - 65*T1^7*T2^17 + 
     44*T1^8*T2^17 + 38*T1^9*T2^17 - 221*T1^10*T2^17 - 45*T1^11*T2^17 - 
     32*T1^12*T2^17 - 39*T1^13*T2^17 + 18*T1^14*T2^17 - 62*T1^15*T2^17 - 
     33*T1^16*T2^17 - 143*T1^17*T2^17 - 133*T1^18*T2^17 + 164*T1^19*T2^17 - 
     104*T1^20*T2^17 + 54*T1^8*T2^18 - 104*T1^9*T2^18 + 107*T1^10*T2^18 + 
     29*T1^11*T2^18 + 33*T1^12*T2^18 - 32*T1^13*T2^18 + 79*T1^14*T2^18 - 
     104*T1^15*T2^18 + 159*T1^16*T2^18 - 133*T1^17*T2^18 + 251*T1^18*T2^18 - 
     176*T1^19*T2^18 + 72*T1^20*T2^18 - 28*T1^9*T2^19 + 80*T1^10*T2^19 - 
     124*T1^11*T2^19 + 76*T1^12*T2^19 - 32*T1^13*T2^19 - 36*T1^14*T2^19 + 
     96*T1^15*T2^19 - 148*T1^16*T2^19 + 164*T1^17*T2^19 - 176*T1^18*T2^19 + 
     100*T1^19*T2^19 - 32*T1^20*T2^19 + 8*T1^10*T2^20 - 32*T1^11*T2^20 + 
     72*T1^12*T2^20 - 104*T1^13*T2^20 + 128*T1^14*T2^20 - 136*T1^15*T2^20 + 
     128*T1^16*T2^20 - 104*T1^17*T2^20 + 72*T1^18*T2^20 - 32*T1^19*T2^20 + 
     8*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 985] -> 
  {(2 - 9*T + 21*T^2 - 30*T^3 + 33*T^4 - 30*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 68*T1 - 159*T1^2 + 228*T1^3 - 251*T1^4 + 228*T1^5 - 
     159*T1^6 + 68*T1^7 - 15*T1^8 + 68*T2 - 276*T1*T2 + 574*T1^2*T2 - 
     690*T1^3*T2 + 644*T1^4*T2 - 490*T1^5*T2 + 228*T1^6*T2 + 34*T1^7*T2 - 
     78*T1^8*T2 + 32*T1^9*T2 - 159*T2^2 + 574*T1*T2^2 - 1027*T1^2*T2^2 + 
     890*T1^3*T2^2 - 484*T1^4*T2^2 + 19*T1^5*T2^2 + 524*T1^6*T2^2 - 
     874*T1^7*T2^2 + 569*T1^8*T2^2 - 182*T1^9*T2^2 + 9*T1^10*T2^2 + 
     228*T2^3 - 690*T1*T2^3 + 890*T1^2*T2^3 + 11*T1^3*T2^3 - 899*T1^4*T2^3 + 
     1267*T1^5*T2^3 - 1460*T1^6*T2^3 + 1180*T1^7*T2^3 + 101*T1^8*T2^3 - 
     811*T1^9*T2^3 + 552*T1^10*T2^3 - 132*T1^11*T2^3 - 251*T2^4 + 
     644*T1*T2^4 - 484*T1^2*T2^4 - 899*T1^3*T2^4 + 1480*T1^4*T2^4 - 
     802*T1^5*T2^4 + 454*T1^6*T2^4 + 134*T1^7*T2^4 - 1676*T1^8*T2^4 + 
     1441*T1^9*T2^4 + 200*T1^10*T2^4 - 652*T1^11*T2^4 + 277*T1^12*T2^4 + 
     228*T2^5 - 490*T1*T2^5 + 19*T1^2*T2^5 + 1267*T1^3*T2^5 - 802*T1^4*T2^5 - 
     1223*T1^5*T2^5 + 1388*T1^6*T2^5 - 1861*T1^7*T2^5 + 3085*T1^8*T2^5 - 
     1090*T1^9*T2^5 - 1514*T1^10*T2^5 + 478*T1^11*T2^5 + 428*T1^12*T2^5 - 
     372*T1^13*T2^5 - 159*T2^6 + 228*T1*T2^6 + 524*T1^2*T2^6 - 
     1460*T1^3*T2^6 + 454*T1^4*T2^6 + 1388*T1^5*T2^6 + 212*T1^6*T2^6 + 
     194*T1^7*T2^6 - 1048*T1^8*T2^6 - 1798*T1^9*T2^6 + 2704*T1^10*T2^6 + 
     1186*T1^11*T2^6 - 1132*T1^12*T2^6 + 120*T1^13*T2^6 + 345*T1^14*T2^6 + 
     68*T2^7 + 34*T1*T2^7 - 874*T1^2*T2^7 + 1180*T1^3*T2^7 + 134*T1^4*T2^7 - 
     1861*T1^5*T2^7 + 194*T1^6*T2^7 - 3013*T1^7*T2^7 + 4043*T1^8*T2^7 - 
     1102*T1^9*T2^7 + 1514*T1^10*T2^7 - 4474*T1^11*T2^7 + 145*T1^12*T2^7 + 
     1205*T1^13*T2^7 - 722*T1^14*T2^7 - 184*T1^15*T2^7 - 15*T2^8 - 
     78*T1*T2^8 + 569*T1^2*T2^8 + 101*T1^3*T2^8 - 1676*T1^4*T2^8 + 
     3085*T1^5*T2^8 - 1048*T1^6*T2^8 + 4043*T1^7*T2^8 - 1812*T1^8*T2^8 - 
     2455*T1^9*T2^8 + 1928*T1^10*T2^8 - 557*T1^11*T2^8 + 5644*T1^12*T2^8 - 
     2929*T1^13*T2^8 + 395*T1^14*T2^8 + 606*T1^15*T2^8 + 49*T1^16*T2^8 + 
     32*T1*T2^9 - 182*T1^2*T2^9 - 811*T1^3*T2^9 + 1441*T1^4*T2^9 - 
     1090*T1^5*T2^9 - 1798*T1^6*T2^9 - 1102*T1^7*T2^9 - 2455*T1^8*T2^9 + 
     4601*T1^9*T2^9 - 2398*T1^10*T2^9 + 1577*T1^11*T2^9 - 5698*T1^12*T2^9 + 
     406*T1^13*T2^9 + 1268*T1^14*T2^9 - 938*T1^15*T2^9 - 220*T1^16*T2^9 + 
     9*T1^2*T2^10 + 552*T1^3*T2^10 + 200*T1^4*T2^10 - 1514*T1^5*T2^10 + 
     2704*T1^6*T2^10 + 1514*T1^7*T2^10 + 1928*T1^8*T2^10 - 2398*T1^9*T2^10 + 
     668*T1^10*T2^10 - 1672*T1^11*T2^10 + 4954*T1^12*T2^10 + 
     1132*T1^13*T2^10 - 1456*T1^14*T2^10 + 444*T1^15*T2^10 + 
     513*T1^16*T2^10 - 132*T1^3*T2^11 - 652*T1^4*T2^11 + 478*T1^5*T2^11 + 
     1186*T1^6*T2^11 - 4474*T1^7*T2^11 - 557*T1^8*T2^11 + 1577*T1^9*T2^11 - 
     1672*T1^10*T2^11 + 3751*T1^11*T2^11 - 4762*T1^12*T2^11 - 
     1595*T1^13*T2^11 + 937*T1^14*T2^11 + 266*T1^15*T2^11 - 732*T1^16*T2^11 + 
     277*T1^4*T2^12 + 428*T1^5*T2^12 - 1132*T1^6*T2^12 + 145*T1^7*T2^12 + 
     5644*T1^8*T2^12 - 5698*T1^9*T2^12 + 4954*T1^10*T2^12 - 
     4762*T1^11*T2^12 + 2488*T1^12*T2^12 + 2485*T1^13*T2^12 - 
     448*T1^14*T2^12 - 868*T1^15*T2^12 + 805*T1^16*T2^12 - 372*T1^5*T2^13 + 
     120*T1^6*T2^13 + 1205*T1^7*T2^13 - 2929*T1^8*T2^13 + 406*T1^9*T2^13 + 
     1132*T1^10*T2^13 - 1595*T1^11*T2^13 + 2485*T1^12*T2^13 - 
     2839*T1^13*T2^13 - 496*T1^14*T2^13 + 1362*T1^15*T2^13 - 
     732*T1^16*T2^13 + 345*T1^6*T2^14 - 722*T1^7*T2^14 + 395*T1^8*T2^14 + 
     1268*T1^9*T2^14 - 1456*T1^10*T2^14 + 937*T1^11*T2^14 - 448*T1^12*T2^14 - 
     496*T1^13*T2^14 + 1991*T1^14*T2^14 - 1478*T1^15*T2^14 + 
     513*T1^16*T2^14 - 184*T1^7*T2^15 + 606*T1^8*T2^15 - 938*T1^9*T2^15 + 
     444*T1^10*T2^15 + 266*T1^11*T2^15 - 868*T1^12*T2^15 + 1362*T1^13*T2^15 - 
     1478*T1^14*T2^15 + 804*T1^15*T2^15 - 220*T1^16*T2^15 + 49*T1^8*T2^16 - 
     220*T1^9*T2^16 + 513*T1^10*T2^16 - 732*T1^11*T2^16 + 805*T1^12*T2^16 - 
     732*T1^13*T2^16 + 513*T1^14*T2^16 - 220*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 986] -> 
  {((1 - T + T^2)*(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6))/
    T^4, (-31 + 187*T1 - 532*T1^2 + 925*T1^3 - 1113*T1^4 + 925*T1^5 - 
     532*T1^6 + 187*T1^7 - 31*T1^8 + 187*T2 - 988*T1*T2 + 2366*T1^2*T2 - 
     3183*T1^3*T2 + 2549*T1^4*T2 - 571*T1^5*T2 - 951*T1^6*T2 + 1262*T1^7*T2 - 
     652*T1^8*T2 + 139*T1^9*T2 - 532*T2^2 + 2366*T1*T2^2 - 4306*T1^2*T2^2 + 
     2974*T1^3*T2^2 + 1600*T1^4*T2^2 - 6622*T1^5*T2^2 + 6632*T1^6*T2^2 - 
     3418*T1^7*T2^2 + 46*T1^8*T2^2 + 734*T1^9*T2^2 - 260*T1^10*T2^2 + 
     925*T2^3 - 3183*T1*T2^3 + 2974*T1^2*T2^3 + 4324*T1^3*T2^3 - 
     12674*T1^4*T2^3 + 15007*T1^5*T2^3 - 5111*T1^6*T2^3 - 4112*T1^7*T2^3 + 
     7150*T1^8*T2^3 - 3350*T1^9*T2^3 + 249*T1^10*T2^3 + 217*T1^11*T2^3 - 
     1113*T2^4 + 2549*T1*T2^4 + 1600*T1^2*T2^4 - 12674*T1^3*T2^4 + 
     15221*T1^4*T2^4 - 4246*T1^5*T2^4 - 17319*T1^6*T2^4 + 21450*T1^7*T2^4 - 
     12139*T1^8*T2^4 - 874*T1^9*T2^4 + 3920*T1^10*T2^4 - 1435*T1^11*T2^4 + 
     23*T1^12*T2^4 + 925*T2^5 - 571*T1*T2^5 - 6622*T1^2*T2^5 + 
     15007*T1^3*T2^5 - 4246*T1^4*T2^5 - 17668*T1^5*T2^5 + 34143*T1^6*T2^5 - 
     16069*T1^7*T2^5 - 7268*T1^8*T2^5 + 17504*T1^9*T2^5 - 9003*T1^10*T2^5 - 
     22*T1^11*T2^5 + 1397*T1^12*T2^5 - 255*T1^13*T2^5 - 532*T2^6 - 
     951*T1*T2^6 + 6632*T1^2*T2^6 - 5111*T1^3*T2^6 - 17319*T1^4*T2^6 + 
     34143*T1^5*T2^6 - 25096*T1^6*T2^6 - 14968*T1^7*T2^6 + 33492*T1^8*T2^6 - 
     21437*T1^9*T2^6 - 943*T1^10*T2^6 + 9169*T1^11*T2^6 - 3824*T1^12*T2^6 - 
     183*T1^13*T2^6 + 284*T1^14*T2^6 + 187*T2^7 + 1262*T1*T2^7 - 
     3418*T1^2*T2^7 - 4112*T1^3*T2^7 + 21450*T1^4*T2^7 - 16069*T1^5*T2^7 - 
     14968*T1^6*T2^7 + 45061*T1^7*T2^7 - 31323*T1^8*T2^7 - 6157*T1^9*T2^7 + 
     23407*T1^10*T2^7 - 16084*T1^11*T2^7 + 278*T1^12*T2^7 + 3314*T1^13*T2^7 - 
     802*T1^14*T2^7 - 149*T1^15*T2^7 - 31*T2^8 - 652*T1*T2^8 + 46*T1^2*T2^8 + 
     7150*T1^3*T2^8 - 12139*T1^4*T2^8 - 7268*T1^5*T2^8 + 33492*T1^6*T2^8 - 
     31323*T1^7*T2^8 - 4320*T1^8*T2^8 + 36207*T1^9*T2^8 - 24554*T1^10*T2^8 + 
     2156*T1^11*T2^8 + 12829*T1^12*T2^8 - 6926*T1^13*T2^8 + 14*T1^14*T2^8 + 
     692*T1^15*T2^8 + 33*T1^16*T2^8 + 139*T1*T2^9 + 734*T1^2*T2^9 - 
     3350*T1^3*T2^9 - 874*T1^4*T2^9 + 17504*T1^5*T2^9 - 21437*T1^6*T2^9 - 
     6157*T1^7*T2^9 + 36207*T1^8*T2^9 - 40177*T1^9*T2^9 + 2654*T1^10*T2^9 + 
     18039*T1^11*T2^9 - 20030*T1^12*T2^9 + 3516*T1^13*T2^9 + 
     3382*T1^14*T2^9 - 1330*T1^15*T2^9 - 197*T1^16*T2^9 - 260*T1^2*T2^10 + 
     249*T1^3*T2^10 + 3920*T1^4*T2^10 - 9003*T1^5*T2^10 - 943*T1^6*T2^10 + 
     23407*T1^7*T2^10 - 24554*T1^8*T2^10 + 2654*T1^9*T2^10 + 
     34034*T1^10*T2^10 - 32173*T1^11*T2^10 + 15433*T1^12*T2^10 + 
     5277*T1^13*T2^10 - 6536*T1^14*T2^10 + 1017*T1^15*T2^10 + 
     556*T1^16*T2^10 + 217*T1^3*T2^11 - 1435*T1^4*T2^11 - 22*T1^5*T2^11 + 
     9169*T1^6*T2^11 - 16084*T1^7*T2^11 + 2156*T1^8*T2^11 + 
     18039*T1^9*T2^11 - 32173*T1^10*T2^11 + 12556*T1^11*T2^11 + 
     5666*T1^12*T2^11 - 14841*T1^13*T2^11 + 6578*T1^14*T2^11 + 
     533*T1^15*T2^11 - 963*T1^16*T2^11 + 23*T1^4*T2^12 + 1397*T1^5*T2^12 - 
     3824*T1^6*T2^12 + 278*T1^7*T2^12 + 12829*T1^8*T2^12 - 20030*T1^9*T2^12 + 
     15433*T1^10*T2^12 + 5666*T1^11*T2^12 - 14531*T1^12*T2^12 + 
     12078*T1^13*T2^12 - 1504*T1^14*T2^12 - 2587*T1^15*T2^12 + 
     1159*T1^16*T2^12 - 255*T1^5*T2^13 - 183*T1^6*T2^13 + 3314*T1^7*T2^13 - 
     6926*T1^8*T2^13 + 3516*T1^9*T2^13 + 5277*T1^10*T2^13 - 
     14841*T1^11*T2^13 + 12078*T1^12*T2^13 - 4100*T1^13*T2^13 - 
     3010*T1^14*T2^13 + 3249*T1^15*T2^13 - 963*T1^16*T2^13 + 284*T1^6*T2^14 - 
     802*T1^7*T2^14 + 14*T1^8*T2^14 + 3382*T1^9*T2^14 - 6536*T1^10*T2^14 + 
     6578*T1^11*T2^14 - 1504*T1^12*T2^14 - 3010*T1^13*T2^14 + 
     4366*T1^14*T2^14 - 2434*T1^15*T2^14 + 556*T1^16*T2^14 - 149*T1^7*T2^15 + 
     692*T1^8*T2^15 - 1330*T1^9*T2^15 + 1017*T1^10*T2^15 + 533*T1^11*T2^15 - 
     2587*T1^12*T2^15 + 3249*T1^13*T2^15 - 2434*T1^14*T2^15 + 
     1028*T1^15*T2^15 - 197*T1^16*T2^15 + 33*T1^8*T2^16 - 197*T1^9*T2^16 + 
     556*T1^10*T2^16 - 963*T1^11*T2^16 + 1159*T1^12*T2^16 - 963*T1^13*T2^16 + 
     556*T1^14*T2^16 - 197*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 987] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)^2*(1 - 2*T + 2*T^2))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 61*T1 - 132*T1^2 + 165*T1^3 - 132*T1^4 + 61*T1^5 - 15*T1^6 + 
      61*T2 - 226*T1*T2 + 446*T1^2*T2 - 472*T1^3*T2 + 288*T1^4*T2 - 
      54*T1^5*T2 - 26*T1^6*T2 + 21*T1^7*T2 - 132*T2^2 + 446*T1*T2^2 - 
      768*T1^2*T2^2 + 545*T1^3*T2^2 + 82*T1^4*T2^2 - 599*T1^5*T2^2 + 
      552*T1^6*T2^2 - 258*T1^7*T2^2 + 44*T1^8*T2^2 + 165*T2^3 - 472*T1*T2^3 + 
      545*T1^2*T2^3 + 290*T1^3*T2^3 - 1315*T1^4*T2^3 + 1401*T1^5*T2^3 - 
      396*T1^6*T2^3 - 491*T1^7*T2^3 + 508*T1^8*T2^3 - 171*T1^9*T2^3 - 
      132*T2^4 + 288*T1*T2^4 + 82*T1^2*T2^4 - 1315*T1^3*T2^4 + 
      1948*T1^4*T2^4 - 590*T1^5*T2^4 - 1298*T1^6*T2^4 + 1751*T1^7*T2^4 - 
      486*T1^8*T2^4 - 260*T1^9*T2^4 + 236*T1^10*T2^4 + 61*T2^5 - 54*T1*T2^5 - 
      599*T1^2*T2^5 + 1401*T1^3*T2^5 - 590*T1^4*T2^5 - 2446*T1^5*T2^5 + 
      3636*T1^6*T2^5 - 2008*T1^7*T2^5 - 913*T1^8*T2^5 + 1085*T1^9*T2^5 - 
      322*T1^10*T2^5 - 155*T1^11*T2^5 - 15*T2^6 - 26*T1*T2^6 + 
      552*T1^2*T2^6 - 396*T1^3*T2^6 - 1298*T1^4*T2^6 + 3636*T1^5*T2^6 - 
      1596*T1^6*T2^6 - 1948*T1^7*T2^6 + 4094*T1^8*T2^6 - 1612*T1^9*T2^6 - 
      88*T1^10*T2^6 + 422*T1^11*T2^6 + 49*T1^12*T2^6 + 21*T1*T2^7 - 
      258*T1^2*T2^7 - 491*T1^3*T2^7 + 1751*T1^4*T2^7 - 2008*T1^5*T2^7 - 
      1948*T1^6*T2^7 + 4134*T1^7*T2^7 - 3426*T1^8*T2^7 - 563*T1^9*T2^7 + 
      1193*T1^10*T2^7 - 526*T1^11*T2^7 - 195*T1^12*T2^7 + 44*T1^2*T2^8 + 
      508*T1^3*T2^8 - 486*T1^4*T2^8 - 913*T1^5*T2^8 + 4094*T1^6*T2^8 - 
      3426*T1^7*T2^8 + 848*T1^8*T2^8 + 2153*T1^9*T2^8 - 1054*T1^10*T2^8 - 
      40*T1^11*T2^8 + 412*T1^12*T2^8 - 171*T1^3*T2^9 - 260*T1^4*T2^9 + 
      1085*T1^5*T2^9 - 1612*T1^6*T2^9 - 563*T1^7*T2^9 + 2153*T1^8*T2^9 - 
      2298*T1^9*T2^9 + 49*T1^10*T2^9 + 720*T1^11*T2^9 - 507*T1^12*T2^9 + 
      236*T1^4*T2^10 - 322*T1^5*T2^10 - 88*T1^6*T2^10 + 1193*T1^7*T2^10 - 
      1054*T1^8*T2^10 + 49*T1^9*T2^10 + 1232*T1^10*T2^10 - 1026*T1^11*T2^10 + 
      412*T1^12*T2^10 - 155*T1^5*T2^11 + 422*T1^6*T2^11 - 526*T1^7*T2^11 - 
      40*T1^8*T2^11 + 720*T1^9*T2^11 - 1026*T1^10*T2^11 + 622*T1^11*T2^11 - 
      195*T1^12*T2^11 + 49*T1^6*T2^12 - 195*T1^7*T2^12 + 412*T1^8*T2^12 - 
      507*T1^9*T2^12 + 412*T1^10*T2^12 - 195*T1^11*T2^12 + 49*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 988] -> 
  {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-15 + 60*T1 - 128*T1^2 + 174*T1^3 - 189*T1^4 + 174*T1^5 - 128*T1^6 + 
     60*T1^7 - 15*T1^8 + 60*T2 - 212*T1*T2 + 400*T1^2*T2 - 456*T1^3*T2 + 
     428*T1^4*T2 - 340*T1^5*T2 + 184*T1^6*T2 - 52*T1^8*T2 + 28*T1^9*T2 - 
     128*T2^2 + 400*T1*T2^2 - 650*T1^2*T2^2 + 546*T1^3*T2^2 - 343*T1^4*T2^2 + 
     108*T1^5*T2^2 + 201*T1^6*T2^2 - 474*T1^7*T2^2 + 370*T1^8*T2^2 - 
     144*T1^9*T2^2 + 8*T1^10*T2^2 + 174*T2^3 - 456*T1*T2^3 + 546*T1^2*T2^3 - 
     74*T1^3*T2^3 - 279*T1^4*T2^3 + 415*T1^5*T2^3 - 593*T1^6*T2^3 + 
     607*T1^7*T2^3 - 24*T1^8*T2^3 - 440*T1^9*T2^3 + 376*T1^10*T2^3 - 
     102*T1^11*T2^3 - 189*T2^4 + 428*T1*T2^4 - 343*T1^2*T2^4 - 
     279*T1^3*T2^4 + 366*T1^4*T2^4 - 67*T1^5*T2^4 + 188*T1^6*T2^4 - 
     123*T1^7*T2^4 - 554*T1^8*T2^4 + 641*T1^9*T2^4 + 113*T1^10*T2^4 - 
     436*T1^11*T2^4 + 211*T1^12*T2^4 + 174*T2^5 - 340*T1*T2^5 + 
     108*T1^2*T2^5 + 415*T1^3*T2^5 - 67*T1^4*T2^5 - 523*T1^5*T2^5 + 
     137*T1^6*T2^5 - 381*T1^7*T2^5 + 1067*T1^8*T2^5 - 592*T1^9*T2^5 - 
     585*T1^10*T2^5 + 216*T1^11*T2^5 + 300*T1^12*T2^5 - 286*T1^13*T2^5 - 
     128*T2^6 + 184*T1*T2^6 + 201*T1^2*T2^6 - 593*T1^3*T2^6 + 188*T1^4*T2^6 + 
     137*T1^5*T2^6 + 645*T1^6*T2^6 + 97*T1^7*T2^6 - 535*T1^8*T2^6 - 
     377*T1^9*T2^6 + 1110*T1^10*T2^6 + 427*T1^11*T2^6 - 519*T1^12*T2^6 + 
     24*T1^13*T2^6 + 280*T1^14*T2^6 + 60*T2^7 - 474*T1^2*T2^7 + 
     607*T1^3*T2^7 - 123*T1^4*T2^7 - 381*T1^5*T2^7 + 97*T1^6*T2^7 - 
     1804*T1^7*T2^7 + 1636*T1^8*T2^7 - 516*T1^9*T2^7 + 145*T1^10*T2^7 - 
     1474*T1^11*T2^7 - 143*T1^12*T2^7 + 716*T1^13*T2^7 - 464*T1^14*T2^7 - 
     164*T1^15*T2^7 - 15*T2^8 - 52*T1*T2^8 + 370*T1^2*T2^8 - 24*T1^3*T2^8 - 
     554*T1^4*T2^8 + 1067*T1^5*T2^8 - 535*T1^6*T2^8 + 1636*T1^7*T2^8 + 
     384*T1^8*T2^8 - 1736*T1^9*T2^8 + 1895*T1^10*T2^8 - 787*T1^11*T2^8 + 
     2602*T1^12*T2^8 - 1364*T1^13*T2^8 + 154*T1^14*T2^8 + 460*T1^15*T2^8 + 
     49*T1^16*T2^8 + 28*T1*T2^9 - 144*T1^2*T2^9 - 440*T1^3*T2^9 + 
     641*T1^4*T2^9 - 592*T1^5*T2^9 - 377*T1^6*T2^9 - 516*T1^7*T2^9 - 
     1736*T1^8*T2^9 + 1704*T1^9*T2^9 - 1129*T1^10*T2^9 + 149*T1^11*T2^9 - 
     1943*T1^12*T2^9 - 109*T1^13*T2^9 + 750*T1^14*T2^9 - 608*T1^15*T2^9 - 
     196*T1^16*T2^9 + 8*T1^2*T2^10 + 376*T1^3*T2^10 + 113*T1^4*T2^10 - 
     585*T1^5*T2^10 + 1110*T1^6*T2^10 + 145*T1^7*T2^10 + 1895*T1^8*T2^10 - 
     1129*T1^9*T2^10 + 715*T1^10*T2^10 - 369*T1^11*T2^10 + 2032*T1^12*T2^10 + 
     435*T1^13*T2^10 - 607*T1^14*T2^10 + 216*T1^15*T2^10 + 416*T1^16*T2^10 - 
     102*T1^3*T2^11 - 436*T1^4*T2^11 + 216*T1^5*T2^11 + 427*T1^6*T2^11 - 
     1474*T1^7*T2^11 - 787*T1^8*T2^11 + 149*T1^9*T2^11 - 369*T1^10*T2^11 + 
     803*T1^11*T2^11 - 1999*T1^12*T2^11 - 573*T1^13*T2^11 + 324*T1^14*T2^11 + 
     204*T1^15*T2^11 - 562*T1^16*T2^11 + 211*T1^4*T2^12 + 300*T1^5*T2^12 - 
     519*T1^6*T2^12 - 143*T1^7*T2^12 + 2602*T1^8*T2^12 - 1943*T1^9*T2^12 + 
     2032*T1^10*T2^12 - 1999*T1^11*T2^12 + 1682*T1^12*T2^12 + 
     777*T1^13*T2^12 - 63*T1^14*T2^12 - 564*T1^15*T2^12 + 611*T1^16*T2^12 - 
     286*T1^5*T2^13 + 24*T1^6*T2^13 + 716*T1^7*T2^13 - 1364*T1^8*T2^13 - 
     109*T1^9*T2^13 + 435*T1^10*T2^13 - 573*T1^11*T2^13 + 777*T1^12*T2^13 - 
     1314*T1^13*T2^13 - 270*T1^14*T2^13 + 856*T1^15*T2^13 - 562*T1^16*T2^13 + 
     280*T1^6*T2^14 - 464*T1^7*T2^14 + 154*T1^8*T2^14 + 750*T1^9*T2^14 - 
     607*T1^10*T2^14 + 324*T1^11*T2^14 - 63*T1^12*T2^14 - 270*T1^13*T2^14 + 
     1174*T1^14*T2^14 - 1008*T1^15*T2^14 + 416*T1^16*T2^14 - 164*T1^7*T2^15 + 
     460*T1^8*T2^15 - 608*T1^9*T2^15 + 216*T1^10*T2^15 + 204*T1^11*T2^15 - 
     564*T1^12*T2^15 + 856*T1^13*T2^15 - 1008*T1^14*T2^15 + 620*T1^15*T2^15 - 
     196*T1^16*T2^15 + 49*T1^8*T2^16 - 196*T1^9*T2^16 + 416*T1^10*T2^16 - 
     562*T1^11*T2^16 + 611*T1^12*T2^16 - 562*T1^13*T2^16 + 416*T1^14*T2^16 - 
     196*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 989] -> 
  {((2 - 2*T + T^2)*(2 - 3*T + 2*T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-112 + 508*T1 - 1136*T1^2 + 1456*T1^3 - 1136*T1^4 + 508*T1^5 - 112*T1^6 + 
     508*T2 - 2082*T1*T2 + 4140*T1^2*T2 - 4328*T1^3*T2 + 2224*T1^4*T2 - 
     36*T1^5*T2 - 498*T1^6*T2 + 220*T1^7*T2 - 1136*T2^2 + 4140*T1*T2^2 - 
     6829*T1^2*T2^2 + 4013*T1^3*T2^2 + 2773*T1^4*T2^2 - 6547*T1^5*T2^2 + 
     4691*T1^6*T2^2 - 1620*T1^7*T2^2 + 144*T1^8*T2^2 + 1456*T2^3 - 
     4328*T1*T2^3 + 4013*T1^2*T2^3 + 5488*T1^3*T2^3 - 15984*T1^4*T2^3 + 
     14040*T1^5*T2^3 - 2612*T1^6*T2^3 - 4627*T1^7*T2^3 + 3808*T1^8*T2^3 - 
     992*T1^9*T2^3 - 1136*T2^4 + 2224*T1*T2^4 + 2773*T1^2*T2^4 - 
     15984*T1^3*T2^4 + 20802*T1^4*T2^4 - 3096*T1^5*T2^4 - 16746*T1^6*T2^4 + 
     17472*T1^7*T2^4 - 4675*T1^8*T2^4 - 1952*T1^9*T2^4 + 1424*T1^10*T2^4 + 
     508*T2^5 - 36*T1*T2^5 - 6547*T1^2*T2^5 + 14040*T1^3*T2^5 - 
     3096*T1^4*T2^5 - 28952*T1^5*T2^5 + 39328*T1^6*T2^5 - 17016*T1^7*T2^5 - 
     9120*T1^8*T2^5 + 9773*T1^9*T2^5 - 2196*T1^10*T2^5 - 932*T1^11*T2^5 - 
     112*T2^6 - 498*T1*T2^6 + 4691*T1^2*T2^6 - 2612*T1^3*T2^6 - 
     16746*T1^4*T2^6 + 39328*T1^5*T2^6 - 18876*T1^6*T2^6 - 21344*T1^7*T2^6 + 
     36198*T1^8*T2^6 - 13268*T1^9*T2^6 - 1997*T1^10*T2^6 + 2958*T1^11*T2^6 + 
     272*T1^12*T2^6 + 220*T1*T2^7 - 1620*T1^2*T2^7 - 4627*T1^3*T2^7 + 
     17472*T1^4*T2^7 - 17016*T1^5*T2^7 - 21344*T1^6*T2^7 + 46936*T1^7*T2^7 - 
     30936*T1^8*T2^7 - 5688*T1^9*T2^7 + 11693*T1^10*T2^7 - 3780*T1^11*T2^7 - 
     1220*T1^12*T2^7 + 144*T1^2*T2^8 + 3808*T1^3*T2^8 - 4675*T1^4*T2^8 - 
     9120*T1^5*T2^8 + 36198*T1^6*T2^8 - 30936*T1^7*T2^8 - 1350*T1^8*T2^8 + 
     24336*T1^9*T2^8 - 12123*T1^10*T2^8 - 368*T1^11*T2^8 + 2704*T1^12*T2^8 - 
     992*T1^3*T2^9 - 1952*T1^4*T2^9 + 9773*T1^5*T2^9 - 13268*T1^6*T2^9 - 
     5688*T1^7*T2^9 + 24336*T1^8*T2^9 - 21368*T1^9*T2^9 + 1133*T1^10*T2^9 + 
     6184*T1^11*T2^9 - 3440*T1^12*T2^9 + 1424*T1^4*T2^10 - 2196*T1^5*T2^10 - 
     1997*T1^6*T2^10 + 11693*T1^7*T2^10 - 12123*T1^8*T2^10 + 
     1133*T1^9*T2^10 + 9523*T1^10*T2^10 - 7956*T1^11*T2^10 + 
     2704*T1^12*T2^10 - 932*T1^5*T2^11 + 2958*T1^6*T2^11 - 3780*T1^7*T2^11 - 
     368*T1^8*T2^11 + 6184*T1^9*T2^11 - 7956*T1^10*T2^11 + 4542*T1^11*T2^11 - 
     1220*T1^12*T2^11 + 272*T1^6*T2^12 - 1220*T1^7*T2^12 + 2704*T1^8*T2^12 - 
     3440*T1^9*T2^12 + 2704*T1^10*T2^12 - 1220*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 990] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2)^2)/T^4, 
   (4*(1 - 3*T1 + T1^2)^2*(1 - T1 + T1^2)^2*(-1 + T1*T2)^2*(1 + T1*T2)*
     (1 - 3*T2 + T2^2)^2*(1 - T2 + T2^2)^2*(1 - 3*T1*T2 + T1^2*T2^2)*
     (1 - T1*T2 + T1^2*T2^2))/(T1^9*T2^8)}, Knot[12, Alternating, 991] -> 
  {((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-2 + 16*T1 - 50*T1^2 + 88*T1^3 - 106*T1^4 + 88*T1^5 - 50*T1^6 + 16*T1^7 - 
     2*T1^8 + 16*T2 - 120*T1*T2 + 337*T1^2*T2 - 507*T1^3*T2 + 498*T1^4*T2 - 
     278*T1^5*T2 + 45*T1^6*T2 + 73*T1^7*T2 - 48*T1^8*T2 + 8*T1^9*T2 - 
     50*T2^2 + 337*T1*T2^2 - 733*T1^2*T2^2 + 553*T1^3*T2^2 + 279*T1^4*T2^2 - 
     1347*T1^5*T2^2 + 1679*T1^6*T2^2 - 1247*T1^7*T2^2 + 467*T1^8*T2^2 - 
     63*T1^9*T2^2 + 88*T2^3 - 507*T1*T2^3 + 553*T1^2*T2^3 + 1292*T1^3*T2^3 - 
     4034*T1^4*T2^3 + 5779*T1^5*T2^3 - 4513*T1^6*T2^3 + 1714*T1^7*T2^3 + 
     632*T1^8*T2^3 - 947*T1^9*T2^3 + 349*T1^10*T2^3 - 44*T1^11*T2^3 - 
     106*T2^4 + 498*T1*T2^4 + 279*T1^2*T2^4 - 4034*T1^3*T2^4 + 
     7019*T1^4*T2^4 - 5694*T1^5*T2^4 - 715*T1^6*T2^4 + 6386*T1^7*T2^4 - 
     7301*T1^8*T2^4 + 3534*T1^9*T2^4 - 53*T1^10*T2^4 - 494*T1^11*T2^4 + 
     106*T1^12*T2^4 + 88*T2^5 - 278*T1*T2^5 - 1347*T1^2*T2^5 + 
     5779*T1^3*T2^5 - 5694*T1^4*T2^5 - 1944*T1^5*T2^5 + 12010*T1^6*T2^5 - 
     14182*T1^7*T2^5 + 6264*T1^8*T2^5 + 3586*T1^9*T2^5 - 6441*T1^10*T2^5 + 
     2229*T1^11*T2^5 + 210*T1^12*T2^5 - 132*T1^13*T2^5 - 50*T2^6 + 
     45*T1*T2^6 + 1679*T1^2*T2^6 - 4513*T1^3*T2^6 - 715*T1^4*T2^6 + 
     12010*T1^5*T2^6 - 15866*T1^6*T2^6 + 5796*T1^7*T2^6 + 11246*T1^8*T2^6 - 
     16774*T1^9*T2^6 + 8883*T1^10*T2^6 + 2887*T1^11*T2^6 - 3185*T1^12*T2^6 + 
     253*T1^13*T2^6 + 100*T1^14*T2^6 + 16*T2^7 + 73*T1*T2^7 - 
     1247*T1^2*T2^7 + 1714*T1^3*T2^7 + 6386*T1^4*T2^7 - 14182*T1^5*T2^7 + 
     5796*T1^6*T2^7 + 10192*T1^7*T2^7 - 20808*T1^8*T2^7 + 9004*T1^9*T2^7 + 
     6826*T1^10*T2^7 - 14094*T1^11*T2^7 + 3246*T1^12*T2^7 + 2053*T1^13*T2^7 - 
     479*T1^14*T2^7 - 40*T1^15*T2^7 - 2*T2^8 - 48*T1*T2^8 + 467*T1^2*T2^8 + 
     632*T1^3*T2^8 - 7301*T1^4*T2^8 + 6264*T1^5*T2^8 + 11246*T1^6*T2^8 - 
     20808*T1^7*T2^8 + 16524*T1^8*T2^8 + 6760*T1^9*T2^8 - 14842*T1^10*T2^8 + 
     9192*T1^11*T2^8 + 7751*T1^12*T2^8 - 6248*T1^13*T2^8 + 95*T1^14*T2^8 + 
     272*T1^15*T2^8 + 6*T1^16*T2^8 + 8*T1*T2^9 - 63*T1^2*T2^9 - 
     947*T1^3*T2^9 + 3534*T1^4*T2^9 + 3586*T1^5*T2^9 - 16774*T1^6*T2^9 + 
     9004*T1^7*T2^9 + 6760*T1^8*T2^9 - 24240*T1^9*T2^9 + 12212*T1^10*T2^9 + 
     4234*T1^11*T2^9 - 16894*T1^12*T2^9 + 5066*T1^13*T2^9 + 2353*T1^14*T2^9 - 
     615*T1^15*T2^9 - 48*T1^16*T2^9 + 349*T1^3*T2^10 - 53*T1^4*T2^10 - 
     6441*T1^5*T2^10 + 8883*T1^6*T2^10 + 6826*T1^7*T2^10 - 14842*T1^8*T2^10 + 
     12212*T1^9*T2^10 + 12270*T1^10*T2^10 - 21958*T1^11*T2^10 + 
     18481*T1^12*T2^10 + 959*T1^13*T2^10 - 4917*T1^14*T2^10 + 
     557*T1^15*T2^10 + 150*T1^16*T2^10 - 44*T1^3*T2^11 - 494*T1^4*T2^11 + 
     2229*T1^5*T2^11 + 2887*T1^6*T2^11 - 14094*T1^7*T2^11 + 9192*T1^8*T2^11 + 
     4234*T1^9*T2^11 - 21958*T1^10*T2^11 + 17400*T1^11*T2^11 - 
     4814*T1^12*T2^11 - 9333*T1^13*T2^11 + 5805*T1^14*T2^11 - 6*T1^15*T2^11 - 
     264*T1^16*T2^11 + 106*T1^4*T2^12 + 210*T1^5*T2^12 - 3185*T1^6*T2^12 + 
     3246*T1^7*T2^12 + 7751*T1^8*T2^12 - 16894*T1^9*T2^12 + 
     18481*T1^10*T2^12 - 4814*T1^11*T2^12 - 6569*T1^12*T2^12 + 
     10814*T1^13*T2^12 - 3517*T1^14*T2^12 - 782*T1^15*T2^12 + 
     318*T1^16*T2^12 - 132*T1^5*T2^13 + 253*T1^6*T2^13 + 2053*T1^7*T2^13 - 
     6248*T1^8*T2^13 + 5066*T1^9*T2^13 + 959*T1^10*T2^13 - 9333*T1^11*T2^13 + 
     10814*T1^12*T2^13 - 6908*T1^13*T2^13 + 553*T1^14*T2^13 + 
     1109*T1^15*T2^13 - 264*T1^16*T2^13 + 100*T1^6*T2^14 - 479*T1^7*T2^14 + 
     95*T1^8*T2^14 + 2353*T1^9*T2^14 - 4917*T1^10*T2^14 + 5805*T1^11*T2^14 - 
     3517*T1^12*T2^14 + 553*T1^13*T2^14 + 1295*T1^14*T2^14 - 
     879*T1^15*T2^14 + 150*T1^16*T2^14 - 40*T1^7*T2^15 + 272*T1^8*T2^15 - 
     615*T1^9*T2^15 + 557*T1^10*T2^15 - 6*T1^11*T2^15 - 782*T1^12*T2^15 + 
     1109*T1^13*T2^15 - 879*T1^14*T2^15 + 344*T1^15*T2^15 - 48*T1^16*T2^15 + 
     6*T1^8*T2^16 - 48*T1^9*T2^16 + 150*T1^10*T2^16 - 264*T1^11*T2^16 + 
     318*T1^12*T2^16 - 264*T1^13*T2^16 + 150*T1^14*T2^16 - 48*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 992] -> 
  {(1 - 9*T + 30*T^2 - 57*T^3 + 71*T^4 - 57*T^5 + 30*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 120*T1^2 + 228*T1^3 - 284*T1^4 + 228*T1^5 - 120*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 836*T1^2*T2 - 1240*T1^3*T2 + 
     1016*T1^4*T2 - 136*T1^5*T2 - 457*T1^6*T2 + 485*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 120*T2^2 + 836*T1*T2^2 - 1467*T1^2*T2^2 + 92*T1^3*T2^2 + 
     3508*T1^4*T2^2 - 6959*T1^5*T2^2 + 5968*T1^6*T2^2 - 2788*T1^7*T2^2 + 
     273*T1^8*T2^2 + 296*T1^9*T2^2 - 60*T1^10*T2^2 + 228*T2^3 - 
     1240*T1*T2^3 + 92*T1^2*T2^3 + 6425*T1^3*T2^3 - 14169*T1^4*T2^3 + 
     15382*T1^5*T2^3 - 4301*T1^6*T2^3 - 4359*T1^7*T2^3 + 5813*T1^8*T2^3 - 
     2338*T1^9*T2^3 + 29*T1^10*T2^3 + 57*T1^11*T2^3 - 284*T2^4 + 
     1016*T1*T2^4 + 3508*T1^2*T2^4 - 14169*T1^3*T2^4 + 18291*T1^4*T2^4 - 
     6484*T1^5*T2^4 - 18505*T1^6*T2^4 + 21950*T1^7*T2^4 - 11077*T1^8*T2^4 - 
     603*T1^9*T2^4 + 2794*T1^10*T2^4 - 514*T1^11*T2^4 + 228*T2^5 - 
     136*T1*T2^5 - 6959*T1^2*T2^5 + 15382*T1^3*T2^5 - 6484*T1^4*T2^5 - 
     19540*T1^5*T2^5 + 42959*T1^6*T2^5 - 20257*T1^7*T2^5 - 7600*T1^8*T2^5 + 
     17777*T1^9*T2^5 - 8783*T1^10*T2^5 + 34*T1^11*T2^5 + 512*T1^12*T2^5 - 
     57*T1^13*T2^5 - 120*T2^6 - 457*T1*T2^6 + 5968*T1^2*T2^6 - 
     4301*T1^3*T2^6 - 18505*T1^4*T2^6 + 42959*T1^5*T2^6 - 38458*T1^6*T2^6 - 
     16912*T1^7*T2^6 + 42926*T1^8*T2^6 - 28141*T1^9*T2^6 + 851*T1^10*T2^6 + 
     8659*T1^11*T2^6 - 2840*T1^12*T2^6 - 25*T1^13*T2^6 + 60*T1^14*T2^6 + 
     36*T2^7 + 485*T1*T2^7 - 2788*T1^2*T2^7 - 4359*T1^3*T2^7 + 
     21950*T1^4*T2^7 - 20257*T1^5*T2^7 - 16912*T1^6*T2^7 + 69494*T1^7*T2^7 - 
     54232*T1^8*T2^7 + 1187*T1^9*T2^7 + 27191*T1^10*T2^7 - 19003*T1^11*T2^7 + 
     855*T1^12*T2^7 + 2342*T1^13*T2^7 - 298*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 273*T1^2*T2^8 + 5813*T1^3*T2^8 - 
     11077*T1^4*T2^8 - 7600*T1^5*T2^8 + 42926*T1^6*T2^8 - 54232*T1^7*T2^8 + 
     576*T1^8*T2^8 + 53408*T1^9*T2^8 - 44440*T1^10*T2^8 + 9692*T1^11*T2^8 + 
     11307*T1^12*T2^8 - 5965*T1^13*T2^8 - 261*T1^14*T2^8 + 207*T1^15*T2^8 + 
     4*T1^16*T2^8 + 27*T1*T2^9 + 296*T1^2*T2^9 - 2338*T1^3*T2^9 - 
     603*T1^4*T2^9 + 17777*T1^5*T2^9 - 28141*T1^6*T2^9 + 1187*T1^7*T2^9 + 
     53408*T1^8*T2^9 - 70318*T1^9*T2^9 + 19286*T1^10*T2^9 + 
     19307*T1^11*T2^9 - 23176*T1^12*T2^9 + 4611*T1^13*T2^9 + 
     2792*T1^14*T2^9 - 487*T1^15*T2^9 - 36*T1^16*T2^9 - 60*T1^2*T2^10 + 
     29*T1^3*T2^10 + 2794*T1^4*T2^10 - 8783*T1^5*T2^10 + 851*T1^6*T2^10 + 
     27191*T1^7*T2^10 - 44440*T1^8*T2^10 + 19286*T1^9*T2^10 + 
     36944*T1^10*T2^10 - 43909*T1^11*T2^10 + 20207*T1^12*T2^10 + 
     4177*T1^13*T2^10 - 6014*T1^14*T2^10 + 461*T1^15*T2^10 + 
     120*T1^16*T2^10 + 57*T1^3*T2^11 - 514*T1^4*T2^11 + 34*T1^5*T2^11 + 
     8659*T1^6*T2^11 - 19003*T1^7*T2^11 + 9692*T1^8*T2^11 + 
     19307*T1^9*T2^11 - 43909*T1^10*T2^11 + 21632*T1^11*T2^11 + 
     5258*T1^12*T2^11 - 15506*T1^13*T2^11 + 7027*T1^14*T2^11 + 
     134*T1^15*T2^11 - 228*T1^16*T2^11 + 512*T1^5*T2^12 - 2840*T1^6*T2^12 + 
     855*T1^7*T2^12 + 11307*T1^8*T2^12 - 23176*T1^9*T2^12 + 
     20207*T1^10*T2^12 + 5258*T1^11*T2^12 - 18061*T1^12*T2^12 + 
     14421*T1^13*T2^12 - 3554*T1^14*T2^12 - 1018*T1^15*T2^12 + 
     284*T1^16*T2^12 - 57*T1^5*T2^13 - 25*T1^6*T2^13 + 2342*T1^7*T2^13 - 
     5965*T1^8*T2^13 + 4611*T1^9*T2^13 + 4177*T1^10*T2^13 - 
     15506*T1^11*T2^13 + 14421*T1^12*T2^13 - 6577*T1^13*T2^13 - 
     88*T1^14*T2^13 + 1244*T1^15*T2^13 - 228*T1^16*T2^13 + 60*T1^6*T2^14 - 
     298*T1^7*T2^14 - 261*T1^8*T2^14 + 2792*T1^9*T2^14 - 6014*T1^10*T2^14 + 
     7027*T1^11*T2^14 - 3554*T1^12*T2^14 - 88*T1^13*T2^14 + 
     1479*T1^14*T2^14 - 838*T1^15*T2^14 + 120*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 487*T1^9*T2^15 + 461*T1^10*T2^15 + 134*T1^11*T2^15 - 
     1018*T1^12*T2^15 + 1244*T1^13*T2^15 - 838*T1^14*T2^15 + 
     297*T1^15*T2^15 - 36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 
     120*T1^10*T2^16 - 228*T1^11*T2^16 + 284*T1^12*T2^16 - 228*T1^13*T2^16 + 
     120*T1^14*T2^16 - 36*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 993] -> 
  {(2 - 10*T + 24*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-33 + 165*T1 - 396*T1^2 + 627*T1^3 - 743*T1^4 + 627*T1^5 - 
     396*T1^6 + 165*T1^7 - 33*T1^8 + 165*T2 - 700*T1*T2 + 1355*T1^2*T2 - 
     1635*T1^3*T2 + 1340*T1^4*T2 - 320*T1^5*T2 - 395*T1^6*T2 + 675*T1^7*T2 - 
     460*T1^8*T2 + 125*T1^9*T2 - 396*T2^2 + 1355*T1*T2^2 - 1831*T1^2*T2^2 + 
     1048*T1^3*T2^2 + 495*T1^4*T2^2 - 2651*T1^5*T2^2 + 2511*T1^6*T2^2 - 
     1640*T1^7*T2^2 + 281*T1^8*T2^2 + 395*T1^9*T2^2 - 204*T1^10*T2^2 + 
     627*T2^3 - 1635*T1*T2^3 + 1048*T1^2*T2^3 + 1126*T1^3*T2^3 - 
     2925*T1^4*T2^3 + 4496*T1^5*T2^3 - 1288*T1^6*T2^3 - 585*T1^7*T2^3 + 
     2086*T1^8*T2^3 - 1544*T1^9*T2^3 + 165*T1^10*T2^3 + 171*T1^11*T2^3 - 
     743*T2^4 + 1340*T1*T2^4 + 495*T1^2*T2^4 - 2925*T1^3*T2^4 + 
     3200*T1^4*T2^4 - 3151*T1^5*T2^4 - 2682*T1^6*T2^4 + 2729*T1^7*T2^4 - 
     2600*T1^8*T2^4 + 115*T1^9*T2^4 + 1535*T1^10*T2^4 - 740*T1^11*T2^4 - 
     23*T1^12*T2^4 + 627*T2^5 - 320*T1*T2^5 - 2651*T1^2*T2^5 + 
     4496*T1^3*T2^5 - 3151*T1^4*T2^5 + 2284*T1^5*T2^5 + 4135*T1^6*T2^5 - 
     781*T1^7*T2^5 - 222*T1^8*T2^5 + 2741*T1^9*T2^5 - 2520*T1^10*T2^5 - 
     95*T1^11*T2^5 + 780*T1^12*T2^5 - 133*T1^13*T2^5 - 396*T2^6 - 
     395*T1*T2^6 + 2511*T1^2*T2^6 - 1288*T1^3*T2^6 - 2682*T1^4*T2^6 + 
     4135*T1^5*T2^6 - 8613*T1^6*T2^6 + 1013*T1^7*T2^6 + 523*T1^8*T2^6 - 
     1929*T1^9*T2^6 + 38*T1^10*T2^6 + 2648*T1^11*T2^6 - 1457*T1^12*T2^6 - 
     235*T1^13*T2^6 + 180*T1^14*T2^6 + 165*T2^7 + 675*T1*T2^7 - 
     1640*T1^2*T2^7 - 585*T1^3*T2^7 + 2729*T1^4*T2^7 - 781*T1^5*T2^7 + 
     1013*T1^6*T2^7 + 6942*T1^7*T2^7 - 4476*T1^8*T2^7 + 1193*T1^9*T2^7 + 
     1839*T1^10*T2^7 - 3115*T1^11*T2^7 - 125*T1^12*T2^7 + 1528*T1^13*T2^7 - 
     325*T1^14*T2^7 - 115*T1^15*T2^7 - 33*T2^8 - 460*T1*T2^8 + 
     281*T1^2*T2^8 + 2086*T1^3*T2^8 - 2600*T1^4*T2^8 - 222*T1^5*T2^8 + 
     523*T1^6*T2^8 - 4476*T1^7*T2^8 - 720*T1^8*T2^8 + 4540*T1^9*T2^8 - 
     3301*T1^10*T2^8 + 1546*T1^11*T2^8 + 2456*T1^12*T2^8 - 1994*T1^13*T2^8 - 
     343*T1^14*T2^8 + 420*T1^15*T2^8 + 31*T1^16*T2^8 + 125*T1*T2^9 + 
     395*T1^2*T2^9 - 1544*T1^3*T2^9 + 115*T1^4*T2^9 + 2741*T1^5*T2^9 - 
     1929*T1^6*T2^9 + 1193*T1^7*T2^9 + 4540*T1^8*T2^9 - 6878*T1^9*T2^9 + 
     1373*T1^10*T2^9 + 691*T1^11*T2^9 - 3103*T1^12*T2^9 + 575*T1^13*T2^9 + 
     1624*T1^14*T2^9 - 605*T1^15*T2^9 - 155*T1^16*T2^9 - 204*T1^2*T2^10 + 
     165*T1^3*T2^10 + 1535*T1^4*T2^10 - 2520*T1^5*T2^10 + 38*T1^6*T2^10 + 
     1839*T1^7*T2^10 - 3301*T1^8*T2^10 + 1373*T1^9*T2^10 + 5835*T1^10*T2^10 - 
     4225*T1^11*T2^10 + 2758*T1^12*T2^10 + 1416*T1^13*T2^10 - 
     2433*T1^14*T2^10 + 325*T1^15*T2^10 + 372*T1^16*T2^10 + 171*T1^3*T2^11 - 
     740*T1^4*T2^11 - 95*T1^5*T2^11 + 2648*T1^6*T2^11 - 3115*T1^7*T2^11 + 
     1546*T1^8*T2^11 + 691*T1^9*T2^11 - 4225*T1^10*T2^11 - 960*T1^11*T2^11 + 
     2777*T1^12*T2^11 - 4368*T1^13*T2^11 + 2461*T1^14*T2^11 + 
     360*T1^15*T2^11 - 589*T1^16*T2^11 - 23*T1^4*T2^12 + 780*T1^5*T2^12 - 
     1457*T1^6*T2^12 - 125*T1^7*T2^12 + 2456*T1^8*T2^12 - 3103*T1^9*T2^12 + 
     2758*T1^10*T2^12 + 2777*T1^11*T2^12 - 3344*T1^12*T2^12 + 
     2915*T1^13*T2^12 - 417*T1^14*T2^12 - 1300*T1^15*T2^12 + 
     697*T1^16*T2^12 - 133*T1^5*T2^13 - 235*T1^6*T2^13 + 1528*T1^7*T2^13 - 
     1994*T1^8*T2^13 + 575*T1^9*T2^13 + 1416*T1^10*T2^13 - 4368*T1^11*T2^13 + 
     2915*T1^12*T2^13 - 1034*T1^13*T2^13 - 1064*T1^14*T2^13 + 
     1565*T1^15*T2^13 - 589*T1^16*T2^13 + 180*T1^6*T2^14 - 325*T1^7*T2^14 - 
     343*T1^8*T2^14 + 1624*T1^9*T2^14 - 2433*T1^10*T2^14 + 2461*T1^11*T2^14 - 
     417*T1^12*T2^14 - 1064*T1^13*T2^14 + 1769*T1^14*T2^14 - 
     1285*T1^15*T2^14 + 372*T1^16*T2^14 - 115*T1^7*T2^15 + 420*T1^8*T2^15 - 
     605*T1^9*T2^15 + 325*T1^10*T2^15 + 360*T1^11*T2^15 - 1300*T1^12*T2^15 + 
     1565*T1^13*T2^15 - 1285*T1^14*T2^15 + 660*T1^15*T2^15 - 
     155*T1^16*T2^15 + 31*T1^8*T2^16 - 155*T1^9*T2^16 + 372*T1^10*T2^16 - 
     589*T1^11*T2^16 + 697*T1^12*T2^16 - 589*T1^13*T2^16 + 372*T1^14*T2^16 - 
     155*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 994] -> 
  {-((2 - 12*T + 34*T^2 - 60*T^3 + 71*T^4 - 60*T^5 + 34*T^6 - 12*T^7 + 2*T^8)/
     T^4), -((-41 + 245*T1 - 692*T1^2 + 1219*T1^3 - 1441*T1^4 + 1219*T1^5 - 
      692*T1^6 + 245*T1^7 - 41*T1^8 + 245*T2 - 1268*T1*T2 + 2962*T1^2*T2 - 
      3969*T1^3*T2 + 2769*T1^4*T2 - 375*T1^5*T2 - 1713*T1^6*T2 + 
      1858*T1^7*T2 - 932*T1^8*T2 + 197*T1^9*T2 - 692*T2^2 + 2962*T1*T2^2 - 
      5070*T1^2*T2^2 + 3201*T1^3*T2^2 + 3660*T1^4*T2^2 - 8452*T1^5*T2^2 + 
      8692*T1^6*T2^2 - 3327*T1^7*T2^2 - 718*T1^8*T2^2 + 1330*T1^9*T2^2 - 
      420*T1^10*T2^2 + 1219*T2^3 - 3969*T1*T2^3 + 3201*T1^2*T2^3 + 
      5492*T1^3*T2^3 - 16914*T1^4*T2^3 + 14722*T1^5*T2^3 - 4886*T1^6*T2^3 - 
      8442*T1^7*T2^3 + 9044*T1^8*T2^3 - 3327*T1^9*T2^3 - 465*T1^10*T2^3 + 
      499*T1^11*T2^3 - 1441*T2^4 + 2769*T1*T2^4 + 3660*T1^2*T2^4 - 
      16914*T1^3*T2^4 + 21819*T1^4*T2^4 - 865*T1^5*T2^4 - 16501*T1^6*T2^4 + 
      25151*T1^7*T2^4 - 8109*T1^8*T2^4 - 4914*T1^9*T2^4 + 5692*T1^10*T2^4 - 
      1167*T1^11*T2^4 - 305*T1^12*T2^4 + 1219*T2^5 - 375*T1*T2^5 - 
      8452*T1^2*T2^5 + 14722*T1^3*T2^5 - 865*T1^4*T2^5 - 33750*T1^5*T2^5 + 
      35349*T1^6*T2^5 - 19227*T1^7*T2^5 - 16938*T1^8*T2^5 + 21167*T1^9*T2^5 - 
      7622*T1^10*T2^5 - 2260*T1^11*T2^5 + 1713*T1^12*T2^5 + 19*T1^13*T2^5 - 
      692*T2^6 - 1713*T1*T2^6 + 8692*T1^2*T2^6 - 4886*T1^3*T2^6 - 
      16501*T1^4*T2^6 + 35349*T1^5*T2^6 - 1836*T1^6*T2^6 - 29554*T1^7*T2^6 + 
      51616*T1^8*T2^6 - 22155*T1^9*T2^6 - 5837*T1^10*T2^6 + 
      10618*T1^11*T2^6 - 2340*T1^12*T2^6 - 849*T1^13*T2^6 + 124*T1^14*T2^6 + 
      245*T2^7 + 1858*T1*T2^7 - 3327*T1^2*T2^7 - 8442*T1^3*T2^7 + 
      25151*T1^4*T2^7 - 19227*T1^5*T2^7 - 29554*T1^6*T2^7 + 43602*T1^7*T2^7 - 
      30666*T1^8*T2^7 - 16306*T1^9*T2^7 + 29493*T1^10*T2^7 - 
      12817*T1^11*T2^7 - 2802*T1^12*T2^7 + 3201*T1^13*T2^7 - 206*T1^14*T2^7 - 
      91*T1^15*T2^7 - 41*T2^8 - 932*T1*T2^8 - 718*T1^2*T2^8 + 
      9044*T1^3*T2^8 - 8109*T1^4*T2^8 - 16938*T1^5*T2^8 + 51616*T1^6*T2^8 - 
      30666*T1^7*T2^8 - 7932*T1^8*T2^8 + 41046*T1^9*T2^8 - 25680*T1^10*T2^8 - 
      4554*T1^11*T2^8 + 13139*T1^12*T2^8 - 4588*T1^13*T2^8 - 750*T1^14*T2^8 + 
      412*T1^15*T2^8 + 23*T1^16*T2^8 + 197*T1*T2^9 + 1330*T1^2*T2^9 - 
      3327*T1^3*T2^9 - 4914*T1^4*T2^9 + 21167*T1^5*T2^9 - 22155*T1^6*T2^9 - 
      16306*T1^7*T2^9 + 41046*T1^8*T2^9 - 33222*T1^9*T2^9 - 3058*T1^10*T2^9 + 
      26565*T1^11*T2^9 - 16801*T1^12*T2^9 + 726*T1^13*T2^9 + 
      3201*T1^14*T2^9 - 734*T1^15*T2^9 - 139*T1^16*T2^9 - 420*T1^2*T2^10 - 
      465*T1^3*T2^10 + 5692*T1^4*T2^10 - 7622*T1^5*T2^10 - 5837*T1^6*T2^10 + 
      29493*T1^7*T2^10 - 25680*T1^8*T2^10 - 3058*T1^9*T2^10 + 
      27772*T1^10*T2^10 - 28011*T1^11*T2^10 + 4827*T1^12*T2^10 + 
      7882*T1^13*T2^10 - 5340*T1^14*T2^10 + 399*T1^15*T2^10 + 
      396*T1^16*T2^10 + 499*T1^3*T2^11 - 1167*T1^4*T2^11 - 2260*T1^5*T2^11 + 
      10618*T1^6*T2^11 - 12817*T1^7*T2^11 - 4554*T1^8*T2^11 + 
      26565*T1^9*T2^11 - 28011*T1^10*T2^11 + 12258*T1^11*T2^11 + 
      9215*T1^12*T2^11 - 11726*T1^13*T2^11 + 3932*T1^14*T2^11 + 
      921*T1^15*T2^11 - 701*T1^16*T2^11 - 305*T1^4*T2^12 + 1713*T1^5*T2^12 - 
      2340*T1^6*T2^12 - 2802*T1^7*T2^12 + 13139*T1^8*T2^12 - 
      16801*T1^9*T2^12 + 4827*T1^10*T2^12 + 9215*T1^11*T2^12 - 
      16789*T1^12*T2^12 + 9198*T1^13*T2^12 - 308*T1^14*T2^12 - 
      2223*T1^15*T2^12 + 831*T1^16*T2^12 + 19*T1^5*T2^13 - 849*T1^6*T2^13 + 
      3201*T1^7*T2^13 - 4588*T1^8*T2^13 + 726*T1^9*T2^13 + 7882*T1^10*T2^13 - 
      11726*T1^11*T2^13 + 9198*T1^12*T2^13 - 1036*T1^13*T2^13 - 
      3327*T1^14*T2^13 + 2655*T1^15*T2^13 - 701*T1^16*T2^13 + 
      124*T1^6*T2^14 - 206*T1^7*T2^14 - 750*T1^8*T2^14 + 3201*T1^9*T2^14 - 
      5340*T1^10*T2^14 + 3932*T1^11*T2^14 - 308*T1^12*T2^14 - 
      3327*T1^13*T2^14 + 3602*T1^14*T2^14 - 1838*T1^15*T2^14 + 
      396*T1^16*T2^14 - 91*T1^7*T2^15 + 412*T1^8*T2^15 - 734*T1^9*T2^15 + 
      399*T1^10*T2^15 + 921*T1^11*T2^15 - 2223*T1^12*T2^15 + 
      2655*T1^13*T2^15 - 1838*T1^14*T2^15 + 748*T1^15*T2^15 - 
      139*T1^16*T2^15 + 23*T1^8*T2^16 - 139*T1^9*T2^16 + 396*T1^10*T2^16 - 
      701*T1^11*T2^16 + 831*T1^12*T2^16 - 701*T1^13*T2^16 + 396*T1^14*T2^16 - 
      139*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 995] -> 
  {(8 - 28*T + 49*T^2 - 57*T^3 + 49*T^4 - 28*T^5 + 8*T^6)/T^3, 
   -((3160 - 10944*T1 + 19037*T1^2 - 22084*T1^3 + 19037*T1^4 - 10944*T1^5 + 
      3160*T1^6 - 10944*T2 + 28848*T1*T2 - 34488*T1^2*T2 + 21637*T1^3*T2 - 
      2107*T1^4*T2 - 17240*T1^5*T2 + 20784*T1^6*T2 - 9152*T1^7*T2 + 
      19037*T2^2 - 34488*T1*T2^2 + 17486*T1^2*T2^2 + 15521*T1^3*T2^2 - 
      33094*T1^4*T2^2 + 38257*T1^5*T2^2 - 14658*T1^6*T2^2 - 12536*T1^7*T2^2 + 
      12765*T1^8*T2^2 - 22084*T2^3 + 21637*T1*T2^3 + 15521*T1^2*T2^3 - 
      40738*T1^3*T2^3 + 28242*T1^4*T2^3 - 11854*T1^5*T2^3 - 24014*T1^6*T2^3 + 
      33161*T1^7*T2^3 - 5691*T1^8*T2^3 - 11140*T1^9*T2^3 + 19037*T2^4 - 
      2107*T1*T2^4 - 33094*T1^2*T2^4 + 28242*T1^3*T2^4 + 7514*T1^4*T2^4 - 
      18782*T1^5*T2^4 + 35794*T1^6*T2^4 - 13254*T1^7*T2^4 - 20550*T1^8*T2^4 + 
      16261*T1^9*T2^4 + 6493*T1^10*T2^4 - 10944*T2^5 - 17240*T1*T2^5 + 
      38257*T1^2*T2^5 - 11854*T1^3*T2^5 - 18782*T1^4*T2^5 + 9205*T1^5*T2^5 - 
      10241*T1^6*T2^5 - 16381*T1^7*T2^5 + 25442*T1^8*T2^5 + 233*T1^9*T2^5 - 
      15672*T1^10*T2^5 - 1984*T1^11*T2^5 + 3160*T2^6 + 20784*T1*T2^6 - 
      14658*T1^2*T2^6 - 24014*T1^3*T2^6 + 35794*T1^4*T2^6 - 10241*T1^5*T2^6 + 
      6072*T1^6*T2^6 + 11193*T1^7*T2^6 - 1152*T1^8*T2^6 - 21334*T1^9*T2^6 + 
      15918*T1^10*T2^6 + 6448*T1^11*T2^6 + 88*T1^12*T2^6 - 9152*T1*T2^7 - 
      12536*T1^2*T2^7 + 33161*T1^3*T2^7 - 13254*T1^4*T2^7 - 16381*T1^5*T2^7 + 
      11193*T1^6*T2^7 - 8253*T1^7*T2^7 - 13980*T1^8*T2^7 + 24042*T1^9*T2^7 - 
      4863*T1^10*T2^7 - 10968*T1^11*T2^7 - 192*T1^12*T2^7 + 12765*T1^2*T2^8 - 
      5691*T1^3*T2^8 - 20550*T1^4*T2^8 + 25442*T1^5*T2^8 - 1152*T1^6*T2^8 - 
      13980*T1^7*T2^8 + 27128*T1^8*T2^8 - 16054*T1^9*T2^8 - 8006*T1^10*T2^8 + 
      12677*T1^11*T2^8 + 221*T1^12*T2^8 - 11140*T1^3*T2^9 + 16261*T1^4*T2^9 + 
      233*T1^5*T2^9 - 21334*T1^6*T2^9 + 24042*T1^7*T2^9 - 16054*T1^8*T2^9 - 
      4610*T1^9*T2^9 + 17873*T1^10*T2^9 - 11067*T1^11*T2^9 - 196*T1^12*T2^9 + 
      6493*T1^4*T2^10 - 15672*T1^5*T2^10 + 15918*T1^6*T2^10 - 
      4863*T1^7*T2^10 - 8006*T1^8*T2^10 + 17873*T1^9*T2^10 - 
      16226*T1^10*T2^10 + 6280*T1^11*T2^10 + 221*T1^12*T2^10 - 
      1984*T1^5*T2^11 + 6448*T1^6*T2^11 - 10968*T1^7*T2^11 + 
      12677*T1^8*T2^11 - 11067*T1^9*T2^11 + 6280*T1^10*T2^11 - 
      1616*T1^11*T2^11 - 192*T1^12*T2^11 + 88*T1^6*T2^12 - 192*T1^7*T2^12 + 
      221*T1^8*T2^12 - 196*T1^9*T2^12 + 221*T1^10*T2^12 - 192*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 996] -> {(14 - 48*T + 69*T^2 - 48*T^3 + 14*T^4)/T^2, 
   -((12019 - 40809*T1 + 58541*T1^2 - 40809*T1^3 + 12019*T1^4 - 40809*T2 + 
      107354*T1*T2 - 92608*T1^2*T2 - 13984*T1^3*T2 + 65690*T1^4*T2 - 
      31401*T1^5*T2 + 58541*T2^2 - 92608*T1*T2^2 - 44998*T1^2*T2^2 + 
      214332*T1^3*T2^2 - 151258*T1^4*T2^2 + 128*T1^5*T2^2 + 31493*T1^6*T2^2 - 
      40809*T2^3 - 13984*T1*T2^3 + 214332*T1^2*T2^3 - 259060*T1^3*T2^3 + 
      3452*T1^4*T2^3 + 148092*T1^5*T2^3 - 64384*T1^6*T2^3 - 12585*T1^7*T2^3 + 
      12019*T2^4 + 65690*T1*T2^4 - 151258*T1^2*T2^4 + 3452*T1^3*T2^4 + 
      252252*T1^4*T2^4 - 212356*T1^5*T2^4 + 15830*T1^6*T2^4 + 
      38810*T1^7*T2^4 + 1043*T1^8*T2^4 - 31401*T1*T2^5 + 128*T1^2*T2^5 + 
      148092*T1^3*T2^5 - 212356*T1^4*T2^5 + 50156*T1^5*T2^5 + 
      81852*T1^6*T2^5 - 50272*T1^7*T2^5 - 3177*T1^8*T2^5 + 31493*T1^2*T2^6 - 
      64384*T1^3*T2^6 + 15830*T1^4*T2^6 + 81852*T1^5*T2^6 - 90430*T1^6*T2^6 + 
      28352*T1^7*T2^6 + 4445*T1^8*T2^6 - 12585*T1^3*T2^7 + 38810*T1^4*T2^7 - 
      50272*T1^5*T2^7 + 28352*T1^6*T2^7 - 2854*T1^7*T2^7 - 3177*T1^8*T2^7 + 
      1043*T1^4*T2^8 - 3177*T1^5*T2^8 + 4445*T1^6*T2^8 - 3177*T1^7*T2^8 + 
      1043*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 997] -> 
  {-((2 - 10*T + 26*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 529*T1^2 + 894*T1^3 - 1035*T1^4 + 894*T1^5 - 
      529*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1819*T1^2*T2 - 
      2338*T1^3*T2 + 1583*T1^4*T2 - 317*T1^5*T2 - 938*T1^6*T2 + 
      1099*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 529*T2^2 + 1819*T1*T2^2 - 
      3091*T1^2*T2^2 + 2601*T1^3*T2^2 + 333*T1^4*T2^2 - 2143*T1^5*T2^2 + 
      2933*T1^6*T2^2 - 935*T1^7*T2^2 - 595*T1^8*T2^2 + 779*T1^9*T2^2 - 
      321*T1^10*T2^2 + 894*T2^3 - 2338*T1*T2^3 + 2601*T1^2*T2^3 + 
      294*T1^3*T2^3 - 4980*T1^4*T2^3 + 4006*T1^5*T2^3 - 2214*T1^6*T2^3 - 
      2884*T1^7*T2^3 + 3078*T1^8*T2^3 - 1143*T1^9*T2^3 - 218*T1^10*T2^3 + 
      366*T1^11*T2^3 - 1035*T2^4 + 1583*T1*T2^4 + 333*T1^2*T2^4 - 
      4980*T1^3*T2^4 + 7525*T1^4*T2^4 + 349*T1^5*T2^4 - 3753*T1^6*T2^4 + 
      8477*T1^7*T2^4 - 2403*T1^8*T2^4 - 1812*T1^9*T2^4 + 2141*T1^10*T2^4 - 
      737*T1^11*T2^4 - 219*T1^12*T2^4 + 894*T2^5 - 317*T1*T2^5 - 
      2143*T1^2*T2^5 + 4006*T1^3*T2^5 + 349*T1^4*T2^5 - 13082*T1^5*T2^5 + 
      10008*T1^6*T2^5 - 7412*T1^7*T2^5 - 6092*T1^8*T2^5 + 7105*T1^9*T2^5 - 
      2686*T1^10*T2^5 - 571*T1^11*T2^5 + 1023*T1^12*T2^5 + 14*T1^13*T2^5 - 
      529*T2^6 - 938*T1*T2^6 + 2933*T1^2*T2^6 - 2214*T1^3*T2^6 - 
      3753*T1^4*T2^6 + 10008*T1^5*T2^6 + 5018*T1^6*T2^6 - 10648*T1^7*T2^6 + 
      18966*T1^8*T2^6 - 7648*T1^9*T2^6 - 1633*T1^10*T2^6 + 3298*T1^11*T2^6 - 
      1251*T1^12*T2^6 - 538*T1^13*T2^6 + 95*T1^14*T2^6 + 204*T2^7 + 
      1099*T1*T2^7 - 935*T1^2*T2^7 - 2884*T1^3*T2^7 + 8477*T1^4*T2^7 - 
      7412*T1^5*T2^7 - 10648*T1^6*T2^7 + 9852*T1^7*T2^7 - 8208*T1^8*T2^7 - 
      6760*T1^9*T2^7 + 9536*T1^10*T2^7 - 3767*T1^11*T2^7 - 692*T1^12*T2^7 + 
      1561*T1^13*T2^7 - 101*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 595*T1^2*T2^8 + 3078*T1^3*T2^8 - 2403*T1^4*T2^8 - 
      6092*T1^5*T2^8 + 18966*T1^6*T2^8 - 8208*T1^7*T2^8 - 804*T1^8*T2^8 + 
      10736*T1^9*T2^8 - 5754*T1^10*T2^8 - 2948*T1^11*T2^8 + 4413*T1^12*T2^8 - 
      2026*T1^13*T2^8 - 355*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 779*T1^2*T2^9 - 1143*T1^3*T2^9 - 1812*T1^4*T2^9 + 
      7105*T1^5*T2^9 - 7648*T1^6*T2^9 - 6760*T1^7*T2^9 + 10736*T1^8*T2^9 - 
      7324*T1^9*T2^9 - 2872*T1^10*T2^9 + 9300*T1^11*T2^9 - 5139*T1^12*T2^9 + 
      380*T1^13*T2^9 + 1353*T1^14*T2^9 - 421*T1^15*T2^9 - 116*T1^16*T2^9 - 
      321*T1^2*T2^10 - 218*T1^3*T2^10 + 2141*T1^4*T2^10 - 2686*T1^5*T2^10 - 
      1633*T1^6*T2^10 + 9536*T1^7*T2^10 - 5754*T1^8*T2^10 - 2872*T1^9*T2^10 + 
      8194*T1^10*T2^10 - 8120*T1^11*T2^10 + 487*T1^12*T2^10 + 
      2826*T1^13*T2^10 - 2043*T1^14*T2^10 + 182*T1^15*T2^10 + 
      303*T1^16*T2^10 + 366*T1^3*T2^11 - 737*T1^4*T2^11 - 571*T1^5*T2^11 + 
      3298*T1^6*T2^11 - 3767*T1^7*T2^11 - 2948*T1^8*T2^11 + 9300*T1^9*T2^11 - 
      8120*T1^10*T2^11 + 4042*T1^11*T2^11 + 2989*T1^12*T2^11 - 
      3394*T1^13*T2^11 + 1001*T1^14*T2^11 + 603*T1^15*T2^11 - 
      514*T1^16*T2^11 - 219*T1^4*T2^12 + 1023*T1^5*T2^12 - 1251*T1^6*T2^12 - 
      692*T1^7*T2^12 + 4413*T1^8*T2^12 - 5139*T1^9*T2^12 + 487*T1^10*T2^12 + 
      2989*T1^11*T2^12 - 5515*T1^12*T2^12 + 2476*T1^13*T2^12 + 
      557*T1^14*T2^12 - 1297*T1^15*T2^12 + 597*T1^16*T2^12 + 14*T1^5*T2^13 - 
      538*T1^6*T2^13 + 1561*T1^7*T2^13 - 2026*T1^8*T2^13 + 380*T1^9*T2^13 + 
      2826*T1^10*T2^13 - 3394*T1^11*T2^13 + 2476*T1^12*T2^13 + 
      758*T1^13*T2^13 - 2183*T1^14*T2^13 + 1582*T1^15*T2^13 - 
      514*T1^16*T2^13 + 95*T1^6*T2^14 - 101*T1^7*T2^14 - 355*T1^8*T2^14 + 
      1353*T1^9*T2^14 - 2043*T1^10*T2^14 + 1001*T1^11*T2^14 + 
      557*T1^12*T2^14 - 2183*T1^13*T2^14 + 2141*T1^14*T2^14 - 
      1141*T1^15*T2^14 + 303*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      421*T1^9*T2^15 + 182*T1^10*T2^15 + 603*T1^11*T2^15 - 1297*T1^12*T2^15 + 
      1582*T1^13*T2^15 - 1141*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 303*T1^10*T2^16 - 
      514*T1^11*T2^16 + 597*T1^12*T2^16 - 514*T1^13*T2^16 + 303*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 998] -> 
  {-((2 - 11*T + 30*T^2 - 52*T^3 + 61*T^4 - 52*T^5 + 30*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-41 + 224*T1 - 609*T1^2 + 1054*T1^3 - 1235*T1^4 + 1054*T1^5 - 
      609*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1044*T1*T2 + 2345*T1^2*T2 - 
      3090*T1^3*T2 + 2133*T1^4*T2 - 353*T1^5*T2 - 1286*T1^6*T2 + 
      1443*T1^7*T2 - 758*T1^8*T2 + 180*T1^9*T2 - 609*T2^2 + 2345*T1*T2^2 - 
      4045*T1^2*T2^2 + 3067*T1^3*T2^2 + 1474*T1^4*T2^2 - 4549*T1^5*T2^2 + 
      5194*T1^6*T2^2 - 1853*T1^7*T2^2 - 685*T1^8*T2^2 + 1025*T1^9*T2^2 - 
      369*T1^10*T2^2 + 1054*T2^3 - 3090*T1*T2^3 + 3067*T1^2*T2^3 + 
      2076*T1^3*T2^3 - 9561*T1^4*T2^3 + 8255*T1^5*T2^3 - 3451*T1^6*T2^3 - 
      4965*T1^7*T2^3 + 5394*T1^8*T2^3 - 2003*T1^9*T2^3 - 318*T1^10*T2^3 + 
      430*T1^11*T2^3 - 1235*T2^4 + 2133*T1*T2^4 + 1474*T1^2*T2^4 - 
      9561*T1^3*T2^4 + 13313*T1^4*T2^4 - 431*T1^5*T2^4 - 8379*T1^6*T2^4 + 
      15025*T1^7*T2^4 - 4799*T1^8*T2^4 - 2905*T1^9*T2^4 + 3530*T1^10*T2^4 - 
      947*T1^11*T2^4 - 259*T1^12*T2^4 + 1054*T2^5 - 353*T1*T2^5 - 
      4549*T1^2*T2^5 + 8255*T1^3*T2^5 - 431*T1^4*T2^5 - 21025*T1^5*T2^5 + 
      19941*T1^6*T2^5 - 12593*T1^7*T2^5 - 9961*T1^8*T2^5 + 12591*T1^9*T2^5 - 
      4815*T1^10*T2^5 - 1126*T1^11*T2^5 + 1341*T1^12*T2^5 + 14*T1^13*T2^5 - 
      609*T2^6 - 1286*T1*T2^6 + 5194*T1^2*T2^6 - 3451*T1^3*T2^6 - 
      8379*T1^4*T2^6 + 19941*T1^5*T2^6 + 2164*T1^6*T2^6 - 17592*T1^7*T2^6 + 
      31896*T1^8*T2^6 - 13847*T1^9*T2^6 - 2915*T1^10*T2^6 + 6209*T1^11*T2^6 - 
      1854*T1^12*T2^6 - 670*T1^13*T2^6 + 111*T1^14*T2^6 + 224*T2^7 + 
      1443*T1*T2^7 - 1853*T1^2*T2^7 - 4965*T1^3*T2^7 + 15025*T1^4*T2^7 - 
      12593*T1^5*T2^7 - 17592*T1^6*T2^7 + 22828*T1^7*T2^7 - 17496*T1^8*T2^7 - 
      9968*T1^9*T2^7 + 17433*T1^10*T2^7 - 7733*T1^11*T2^7 - 1321*T1^12*T2^7 + 
      2317*T1^13*T2^7 - 163*T1^14*T2^7 - 84*T1^15*T2^7 - 41*T2^8 - 
      758*T1*T2^8 - 685*T1^2*T2^8 + 5394*T1^3*T2^8 - 4799*T1^4*T2^8 - 
      9961*T1^5*T2^8 + 31896*T1^6*T2^8 - 17496*T1^7*T2^8 - 3000*T1^8*T2^8 + 
      22528*T1^9*T2^8 - 14224*T1^10*T2^8 - 3115*T1^11*T2^8 + 
      7913*T1^12*T2^8 - 3274*T1^13*T2^8 - 511*T1^14*T2^8 + 342*T1^15*T2^8 + 
      23*T1^16*T2^8 + 180*T1*T2^9 + 1025*T1^2*T2^9 - 2003*T1^3*T2^9 - 
      2905*T1^4*T2^9 + 12591*T1^5*T2^9 - 13847*T1^6*T2^9 - 9968*T1^7*T2^9 + 
      22528*T1^8*T2^9 - 17796*T1^9*T2^9 - 2344*T1^10*T2^9 + 
      16179*T1^11*T2^9 - 10167*T1^12*T2^9 + 739*T1^13*T2^9 + 
      2167*T1^14*T2^9 - 581*T1^15*T2^9 - 128*T1^16*T2^9 - 369*T1^2*T2^10 - 
      318*T1^3*T2^10 + 3530*T1^4*T2^10 - 4815*T1^5*T2^10 - 2915*T1^6*T2^10 + 
      17433*T1^7*T2^10 - 14224*T1^8*T2^10 - 2344*T1^9*T2^10 + 
      15508*T1^10*T2^10 - 16355*T1^11*T2^10 + 2549*T1^12*T2^10 + 
      4845*T1^13*T2^10 - 3518*T1^14*T2^10 + 298*T1^15*T2^10 + 
      351*T1^16*T2^10 + 430*T1^3*T2^11 - 947*T1^4*T2^11 - 1126*T1^5*T2^11 + 
      6209*T1^6*T2^11 - 7733*T1^7*T2^11 - 3115*T1^8*T2^11 + 
      16179*T1^9*T2^11 - 16355*T1^10*T2^11 + 7949*T1^11*T2^11 + 
      5289*T1^12*T2^11 - 6861*T1^13*T2^11 + 2297*T1^14*T2^11 + 
      747*T1^15*T2^11 - 610*T1^16*T2^11 - 259*T1^4*T2^12 + 1341*T1^5*T2^12 - 
      1854*T1^6*T2^12 - 1321*T1^7*T2^12 + 7913*T1^8*T2^12 - 
      10167*T1^9*T2^12 + 2549*T1^10*T2^12 + 5289*T1^11*T2^12 - 
      10199*T1^12*T2^12 + 5335*T1^13*T2^12 + 202*T1^14*T2^12 - 
      1739*T1^15*T2^12 + 717*T1^16*T2^12 + 14*T1^5*T2^13 - 670*T1^6*T2^13 + 
      2317*T1^7*T2^13 - 3274*T1^8*T2^13 + 739*T1^9*T2^13 + 4845*T1^10*T2^13 - 
      6861*T1^11*T2^13 + 5335*T1^12*T2^13 + 44*T1^13*T2^13 - 
      2753*T1^14*T2^13 + 2102*T1^15*T2^13 - 610*T1^16*T2^13 + 
      111*T1^6*T2^14 - 163*T1^7*T2^14 - 511*T1^8*T2^14 + 2167*T1^9*T2^14 - 
      3518*T1^10*T2^14 + 2297*T1^11*T2^14 + 202*T1^12*T2^14 - 
      2753*T1^13*T2^14 + 2849*T1^14*T2^14 - 1483*T1^15*T2^14 + 
      351*T1^16*T2^14 - 84*T1^7*T2^15 + 342*T1^8*T2^15 - 581*T1^9*T2^15 + 
      298*T1^10*T2^15 + 747*T1^11*T2^15 - 1739*T1^12*T2^15 + 
      2102*T1^13*T2^15 - 1483*T1^14*T2^15 + 628*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 351*T1^10*T2^16 - 
      610*T1^11*T2^16 + 717*T1^12*T2^16 - 610*T1^13*T2^16 + 351*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 999] -> 
  {((1 - T + T^2)^2*(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + T^6))/T^5, 
   (-4 + 16*T1 - 44*T1^2 + 84*T1^3 - 124*T1^4 + 140*T1^5 - 124*T1^6 + 
     84*T1^7 - 44*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 128*T1^2*T2 - 
     204*T1^3*T2 + 244*T1^4*T2 - 188*T1^5*T2 + 76*T1^6*T2 + 36*T1^7*T2 - 
     76*T1^8*T2 + 68*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 44*T2^2 + 
     128*T1*T2^2 - 315*T1^2*T2^2 + 488*T1^3*T2^2 - 610*T1^4*T2^2 + 
     540*T1^5*T2^2 - 401*T1^6*T2^2 + 232*T1^7*T2^2 - 170*T1^8*T2^2 + 
     114*T1^9*T2^2 - 95*T1^10*T2^2 + 40*T1^11*T2^2 - 22*T1^12*T2^2 + 
     84*T2^3 - 204*T1*T2^3 + 488*T1^2*T2^3 - 655*T1^3*T2^3 + 746*T1^4*T2^3 - 
     514*T1^5*T2^3 + 302*T1^6*T2^3 - 70*T1^7*T2^3 + 96*T1^8*T2^3 - 
     51*T1^9*T2^3 + 71*T1^10*T2^3 + 15*T1^11*T2^3 + 4*T1^12*T2^3 + 
     21*T1^13*T2^3 - 124*T2^4 + 244*T1*T2^4 - 610*T1^2*T2^4 + 746*T1^3*T2^4 - 
     950*T1^4*T2^4 + 796*T1^5*T2^4 - 848*T1^6*T2^4 + 680*T1^7*T2^4 - 
     720*T1^8*T2^4 + 312*T1^9*T2^4 - 86*T1^10*T2^4 - 178*T1^11*T2^4 + 
     82*T1^12*T2^4 - 84*T1^13*T2^4 + 140*T2^5 - 188*T1*T2^5 + 540*T1^2*T2^5 - 
     514*T1^3*T2^5 + 796*T1^4*T2^5 - 688*T1^5*T2^5 + 979*T1^6*T2^5 - 
     747*T1^7*T2^5 + 755*T1^8*T2^5 - 46*T1^9*T2^5 - 16*T1^10*T2^5 + 
     90*T1^11*T2^5 + 224*T1^12*T2^5 - 128*T1^13*T2^5 + 140*T1^14*T2^5 - 
     35*T1^15*T2^5 - 124*T2^6 + 76*T1*T2^6 - 401*T1^2*T2^6 + 302*T1^3*T2^6 - 
     848*T1^4*T2^6 + 979*T1^5*T2^6 - 1535*T1^6*T2^6 + 1100*T1^7*T2^6 - 
     797*T1^8*T2^6 - 410*T1^9*T2^6 + 325*T1^10*T2^6 - 325*T1^11*T2^6 - 
     22*T1^12*T2^6 - 172*T1^13*T2^6 + 87*T1^14*T2^6 - 108*T1^15*T2^6 + 
     62*T1^16*T2^6 + 84*T2^7 + 36*T1*T2^7 + 232*T1^2*T2^7 - 70*T1^3*T2^7 + 
     680*T1^4*T2^7 - 747*T1^5*T2^7 + 1100*T1^6*T2^7 - 403*T1^7*T2^7 + 
     97*T1^8*T2^7 + 638*T1^9*T2^7 + 409*T1^10*T2^7 - 730*T1^11*T2^7 + 
     823*T1^12*T2^7 - 307*T1^13*T2^7 + 166*T1^14*T2^7 - 60*T1^15*T2^7 + 
     4*T1^16*T2^7 - 63*T1^17*T2^7 - 44*T2^8 - 76*T1*T2^8 - 170*T1^2*T2^8 + 
     96*T1^3*T2^8 - 720*T1^4*T2^8 + 755*T1^5*T2^8 - 797*T1^6*T2^8 + 
     97*T1^7*T2^8 + 168*T1^8*T2^8 - 334*T1^9*T2^8 - 820*T1^10*T2^8 + 
     485*T1^11*T2^8 + 221*T1^12*T2^8 - 645*T1^13*T2^8 + 548*T1^14*T2^8 - 
     194*T1^15*T2^8 + 146*T1^16*T2^8 + 76*T1^17*T2^8 + 44*T1^18*T2^8 + 
     16*T2^9 + 68*T1*T2^9 + 114*T1^2*T2^9 - 51*T1^3*T2^9 + 312*T1^4*T2^9 - 
     46*T1^5*T2^9 - 410*T1^6*T2^9 + 638*T1^7*T2^9 - 334*T1^8*T2^9 - 
     759*T1^9*T2^9 + 1815*T1^10*T2^9 - 961*T1^11*T2^9 - 209*T1^12*T2^9 + 
     140*T1^13*T2^9 - 137*T1^14*T2^9 - 314*T1^15*T2^9 - 16*T1^16*T2^9 - 
     205*T1^17*T2^9 - 96*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 
     95*T1^2*T2^10 + 71*T1^3*T2^10 - 86*T1^4*T2^10 - 16*T1^5*T2^10 + 
     325*T1^6*T2^10 + 409*T1^7*T2^10 - 820*T1^8*T2^10 + 1815*T1^9*T2^10 - 
     924*T1^10*T2^10 - 915*T1^11*T2^10 + 2138*T1^12*T2^10 - 997*T1^13*T2^10 + 
     837*T1^14*T2^10 + 72*T1^15*T2^10 + 388*T1^16*T2^10 + 129*T1^17*T2^10 + 
     229*T1^18*T2^10 + 56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 
     40*T1^2*T2^11 + 15*T1^3*T2^11 - 178*T1^4*T2^11 + 90*T1^5*T2^11 - 
     325*T1^6*T2^11 - 730*T1^7*T2^11 + 485*T1^8*T2^11 - 961*T1^9*T2^11 - 
     915*T1^10*T2^11 + 1659*T1^11*T2^11 - 1588*T1^12*T2^11 - 
     362*T1^13*T2^11 - 180*T1^14*T2^11 - 416*T1^15*T2^11 - 536*T1^16*T2^11 - 
     143*T1^17*T2^11 - 304*T1^18*T2^11 - 124*T1^19*T2^11 - 24*T1^20*T2^11 - 
     22*T1^2*T2^12 + 4*T1^3*T2^12 + 82*T1^4*T2^12 + 224*T1^5*T2^12 - 
     22*T1^6*T2^12 + 823*T1^7*T2^12 + 221*T1^8*T2^12 - 209*T1^9*T2^12 + 
     2138*T1^10*T2^12 - 1588*T1^11*T2^12 + 1150*T1^12*T2^12 + 
     179*T1^13*T2^12 + 1239*T1^14*T2^12 - 577*T1^15*T2^12 + 
     1246*T1^16*T2^12 - 66*T1^17*T2^12 + 398*T1^18*T2^12 + 156*T1^19*T2^12 + 
     66*T1^20*T2^12 + 21*T1^3*T2^13 - 84*T1^4*T2^13 - 128*T1^5*T2^13 - 
     172*T1^6*T2^13 - 307*T1^7*T2^13 - 645*T1^8*T2^13 + 140*T1^9*T2^13 - 
     997*T1^10*T2^13 - 362*T1^11*T2^13 + 179*T1^12*T2^13 - 185*T1^13*T2^13 - 
     1690*T1^14*T2^13 + 925*T1^15*T2^13 - 1294*T1^16*T2^13 + 64*T1^17*T2^13 - 
     420*T1^18*T2^13 - 116*T1^19*T2^13 - 126*T1^20*T2^13 + 140*T1^5*T2^14 + 
     87*T1^6*T2^14 + 166*T1^7*T2^14 + 548*T1^8*T2^14 - 137*T1^9*T2^14 + 
     837*T1^10*T2^14 - 180*T1^11*T2^14 + 1239*T1^12*T2^14 - 
     1690*T1^13*T2^14 + 2697*T1^14*T2^14 - 1441*T1^15*T2^14 + 
     1374*T1^16*T2^14 - 308*T1^17*T2^14 + 575*T1^18*T2^14 - 44*T1^19*T2^14 + 
     186*T1^20*T2^14 - 35*T1^5*T2^15 - 108*T1^6*T2^15 - 60*T1^7*T2^15 - 
     194*T1^8*T2^15 - 314*T1^9*T2^15 + 72*T1^10*T2^15 - 416*T1^11*T2^15 - 
     577*T1^12*T2^15 + 925*T1^13*T2^15 - 1441*T1^14*T2^15 + 744*T1^15*T2^15 - 
     1020*T1^16*T2^15 + 544*T1^17*T2^15 - 728*T1^18*T2^15 + 220*T1^19*T2^15 - 
     210*T1^20*T2^15 + 62*T1^6*T2^16 + 4*T1^7*T2^16 + 146*T1^8*T2^16 - 
     16*T1^9*T2^16 + 388*T1^10*T2^16 - 536*T1^11*T2^16 + 1246*T1^12*T2^16 - 
     1294*T1^13*T2^16 + 1374*T1^14*T2^16 - 1020*T1^15*T2^16 + 
     1252*T1^16*T2^16 - 940*T1^17*T2^16 + 838*T1^18*T2^16 - 324*T1^19*T2^16 + 
     186*T1^20*T2^16 - 63*T1^7*T2^17 + 76*T1^8*T2^17 - 205*T1^9*T2^17 + 
     129*T1^10*T2^17 - 143*T1^11*T2^17 - 66*T1^12*T2^17 + 64*T1^13*T2^17 - 
     308*T1^14*T2^17 + 544*T1^15*T2^17 - 940*T1^16*T2^17 + 855*T1^17*T2^17 - 
     678*T1^18*T2^17 + 284*T1^19*T2^17 - 126*T1^20*T2^17 + 44*T1^8*T2^18 - 
     96*T1^9*T2^18 + 229*T1^10*T2^18 - 304*T1^11*T2^18 + 398*T1^12*T2^18 - 
     420*T1^13*T2^18 + 575*T1^14*T2^18 - 728*T1^15*T2^18 + 838*T1^16*T2^18 - 
     678*T1^17*T2^18 + 449*T1^18*T2^18 - 184*T1^19*T2^18 + 66*T1^20*T2^18 - 
     20*T1^9*T2^19 + 56*T1^10*T2^19 - 124*T1^11*T2^19 + 156*T1^12*T2^19 - 
     116*T1^13*T2^19 - 44*T1^14*T2^19 + 220*T1^15*T2^19 - 324*T1^16*T2^19 + 
     284*T1^17*T2^19 - 184*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 
     6*T1^10*T2^20 - 24*T1^11*T2^20 + 66*T1^12*T2^20 - 126*T1^13*T2^20 + 
     186*T1^14*T2^20 - 210*T1^15*T2^20 + 186*T1^16*T2^20 - 126*T1^17*T2^20 + 
     66*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1000] -> 
  {((1 - T + T^2)^2*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4, 
   (-31 + 124*T1 - 294*T1^2 + 464*T1^3 - 541*T1^4 + 464*T1^5 - 294*T1^6 + 
     124*T1^7 - 31*T1^8 + 124*T2 - 404*T1*T2 + 808*T1^2*T2 - 984*T1^3*T2 + 
     788*T1^4*T2 - 252*T1^5*T2 - 200*T1^6*T2 + 376*T1^7*T2 - 244*T1^8*T2 + 
     92*T1^9*T2 - 294*T2^2 + 808*T1*T2^2 - 1462*T1^2*T2^2 + 1486*T1^3*T2^2 - 
     960*T1^4*T2^2 + 78*T1^5*T2^2 + 256*T1^6*T2^2 - 186*T1^7*T2^2 - 
     170*T1^8*T2^2 + 200*T1^9*T2^2 - 142*T1^10*T2^2 + 464*T2^3 - 
     984*T1*T2^3 + 1486*T1^2*T2^3 - 838*T1^3*T2^3 - 56*T1^4*T2^3 + 
     816*T1^5*T2^3 - 244*T1^6*T2^3 - 348*T1^7*T2^3 + 818*T1^8*T2^3 - 
     414*T1^9*T2^3 + 152*T1^10*T2^3 + 104*T1^11*T2^3 - 541*T2^4 + 
     788*T1*T2^4 - 960*T1^2*T2^4 - 56*T1^3*T2^4 + 289*T1^4*T2^4 + 
     94*T1^5*T2^4 - 1645*T1^6*T2^4 + 1614*T1^7*T2^4 - 1031*T1^8*T2^4 - 
     296*T1^9*T2^4 + 520*T1^10*T2^4 - 492*T1^11*T2^4 + 19*T1^12*T2^4 + 
     464*T2^5 - 252*T1*T2^5 + 78*T1^2*T2^5 + 816*T1^3*T2^5 + 94*T1^4*T2^5 - 
     1454*T1^5*T2^5 + 2762*T1^6*T2^5 - 1228*T1^7*T2^5 - 44*T1^8*T2^5 + 
     1084*T1^9*T2^5 - 444*T1^10*T2^5 - 42*T1^11*T2^5 + 468*T1^12*T2^5 - 
     136*T1^13*T2^5 - 294*T2^6 - 200*T1*T2^6 + 256*T1^2*T2^6 - 
     244*T1^3*T2^6 - 1645*T1^4*T2^6 + 2762*T1^5*T2^6 - 2000*T1^6*T2^6 - 
     1108*T1^7*T2^6 + 2036*T1^8*T2^6 - 1658*T1^9*T2^6 + 145*T1^10*T2^6 + 
     516*T1^11*T2^6 - 432*T1^12*T2^6 - 104*T1^13*T2^6 + 162*T1^14*T2^6 + 
     124*T2^7 + 376*T1*T2^7 - 186*T1^2*T2^7 - 348*T1^3*T2^7 + 
     1614*T1^4*T2^7 - 1228*T1^5*T2^7 - 1108*T1^6*T2^7 + 2740*T1^7*T2^7 - 
     1120*T1^8*T2^7 - 996*T1^9*T2^7 + 1902*T1^10*T2^7 - 1496*T1^11*T2^7 + 
     152*T1^12*T2^7 + 346*T1^13*T2^7 - 248*T1^14*T2^7 - 100*T1^15*T2^7 - 
     31*T2^8 - 244*T1*T2^8 - 170*T1^2*T2^8 + 818*T1^3*T2^8 - 1031*T1^4*T2^8 - 
     44*T1^5*T2^8 + 2036*T1^6*T2^8 - 1120*T1^7*T2^8 - 1128*T1^8*T2^8 + 
     2184*T1^9*T2^8 - 824*T1^10*T2^8 - 284*T1^11*T2^8 + 1605*T1^12*T2^8 - 
     798*T1^13*T2^8 + 254*T1^14*T2^8 + 268*T1^15*T2^8 + 33*T1^16*T2^8 + 
     92*T1*T2^9 + 200*T1^2*T2^9 - 414*T1^3*T2^9 - 296*T1^4*T2^9 + 
     1084*T1^5*T2^9 - 1658*T1^6*T2^9 - 996*T1^7*T2^9 + 2184*T1^8*T2^9 - 
     1676*T1^9*T2^9 - 884*T1^10*T2^9 + 1472*T1^11*T2^9 - 2026*T1^12*T2^9 + 
     204*T1^13*T2^9 + 118*T1^14*T2^9 - 424*T1^15*T2^9 - 132*T1^16*T2^9 - 
     142*T1^2*T2^10 + 152*T1^3*T2^10 + 520*T1^4*T2^10 - 444*T1^5*T2^10 + 
     145*T1^6*T2^10 + 1902*T1^7*T2^10 - 824*T1^8*T2^10 - 884*T1^9*T2^10 + 
     3212*T1^10*T2^10 - 2518*T1^11*T2^10 + 1935*T1^12*T2^10 + 
     316*T1^13*T2^10 - 168*T1^14*T2^10 + 248*T1^15*T2^10 + 314*T1^16*T2^10 + 
     104*T1^3*T2^11 - 492*T1^4*T2^11 - 42*T1^5*T2^11 + 516*T1^6*T2^11 - 
     1496*T1^7*T2^11 - 284*T1^8*T2^11 + 1472*T1^9*T2^11 - 2518*T1^10*T2^11 + 
     1126*T1^11*T2^11 - 506*T1^12*T2^11 - 744*T1^13*T2^11 - 162*T1^14*T2^11 + 
     228*T1^15*T2^11 - 496*T1^16*T2^11 + 19*T1^4*T2^12 + 468*T1^5*T2^12 - 
     432*T1^6*T2^12 + 152*T1^7*T2^12 + 1605*T1^8*T2^12 - 2026*T1^9*T2^12 + 
     1935*T1^10*T2^12 - 506*T1^11*T2^12 + 285*T1^12*T2^12 - 88*T1^13*T2^12 + 
     1048*T1^14*T2^12 - 812*T1^15*T2^12 + 579*T1^16*T2^12 - 136*T1^5*T2^13 - 
     104*T1^6*T2^13 + 346*T1^7*T2^13 - 798*T1^8*T2^13 + 204*T1^9*T2^13 + 
     316*T1^10*T2^13 - 744*T1^11*T2^13 - 88*T1^12*T2^13 + 858*T1^13*T2^13 - 
     1554*T1^14*T2^13 + 1032*T1^15*T2^13 - 496*T1^16*T2^13 + 162*T1^6*T2^14 - 
     248*T1^7*T2^14 + 254*T1^8*T2^14 + 118*T1^9*T2^14 - 168*T1^10*T2^14 - 
     162*T1^11*T2^14 + 1048*T1^12*T2^14 - 1554*T1^13*T2^14 + 
     1546*T1^14*T2^14 - 856*T1^15*T2^14 + 314*T1^16*T2^14 - 100*T1^7*T2^15 + 
     268*T1^8*T2^15 - 424*T1^9*T2^15 + 248*T1^10*T2^15 + 228*T1^11*T2^15 - 
     812*T1^12*T2^15 + 1032*T1^13*T2^15 - 856*T1^14*T2^15 + 428*T1^15*T2^15 - 
     132*T1^16*T2^15 + 33*T1^8*T2^16 - 132*T1^9*T2^16 + 314*T1^10*T2^16 - 
     496*T1^11*T2^16 + 579*T1^12*T2^16 - 496*T1^13*T2^16 + 314*T1^14*T2^16 - 
     132*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1001] -> 
  {-((4 - 19*T + 43*T^2 - 57*T^3 + 43*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-208 + 984*T1 - 2224*T1^2 + 2952*T1^3 - 2224*T1^4 + 984*T1^5 - 
      208*T1^6 + 984*T2 - 3980*T1*T2 + 7317*T1^2*T2 - 6713*T1^3*T2 + 
      887*T1^4*T2 + 2605*T1^5*T2 - 2232*T1^6*T2 + 680*T1^7*T2 - 2224*T2^2 + 
      7317*T1*T2^2 - 9507*T1^2*T2^2 + 1490*T1^3*T2^2 + 12427*T1^4*T2^2 - 
      11582*T1^5*T2^2 + 3909*T1^6*T2^2 + 781*T1^7*T2^2 - 848*T1^8*T2^2 + 
      2952*T2^3 - 6713*T1*T2^3 + 1490*T1^2*T2^3 + 16337*T1^3*T2^3 - 
      29589*T1^4*T2^3 + 9703*T1^5*T2^3 + 7407*T1^6*T2^3 - 9131*T1^7*T2^3 + 
      3015*T1^8*T2^3 + 216*T1^9*T2^3 - 2224*T2^4 + 887*T1*T2^4 + 
      12427*T1^2*T2^4 - 29589*T1^3*T2^4 + 23443*T1^4*T2^4 + 20667*T1^5*T2^4 - 
      32033*T1^6*T2^4 + 15669*T1^7*T2^4 + 857*T1^8*T2^4 - 3521*T1^9*T2^4 + 
      528*T1^10*T2^4 + 984*T2^5 + 2605*T1*T2^5 - 11582*T1^2*T2^5 + 
      9703*T1^3*T2^5 + 20667*T1^4*T2^5 - 62346*T1^5*T2^5 + 39532*T1^6*T2^5 + 
      1876*T1^7*T2^5 - 17657*T1^8*T2^5 + 8843*T1^9*T2^5 + 21*T1^10*T2^5 - 
      536*T1^11*T2^5 - 208*T2^6 - 2232*T1*T2^6 + 3909*T1^2*T2^6 + 
      7407*T1^3*T2^6 - 32033*T1^4*T2^6 + 39532*T1^5*T2^6 + 10428*T1^6*T2^6 - 
      46500*T1^7*T2^6 + 34009*T1^8*T2^6 - 6235*T1^9*T2^6 - 4607*T1^10*T2^6 + 
      1720*T1^11*T2^6 + 176*T1^12*T2^6 + 680*T1*T2^7 + 781*T1^2*T2^7 - 
      9131*T1^3*T2^7 + 15669*T1^4*T2^7 + 1876*T1^5*T2^7 - 46500*T1^6*T2^7 + 
      55378*T1^7*T2^7 - 16915*T1^8*T2^7 - 11691*T1^9*T2^7 + 
      11294*T1^10*T2^7 - 1803*T1^11*T2^7 - 840*T1^12*T2^7 - 848*T1^2*T2^8 + 
      3015*T1^3*T2^8 + 857*T1^4*T2^8 - 17657*T1^5*T2^8 + 34009*T1^6*T2^8 - 
      16915*T1^7*T2^8 - 21467*T1^8*T2^8 + 27601*T1^9*T2^8 - 
      10713*T1^10*T2^8 - 1393*T1^11*T2^8 + 1904*T1^12*T2^8 + 216*T1^3*T2^9 - 
      3521*T1^4*T2^9 + 8843*T1^5*T2^9 - 6235*T1^6*T2^9 - 11691*T1^7*T2^9 + 
      27601*T1^8*T2^9 - 15165*T1^9*T2^9 - 1778*T1^10*T2^9 + 6207*T1^11*T2^9 - 
      2520*T1^12*T2^9 + 528*T1^4*T2^10 + 21*T1^5*T2^10 - 4607*T1^6*T2^10 + 
      11294*T1^7*T2^10 - 10713*T1^8*T2^10 - 1778*T1^9*T2^10 + 
      8809*T1^10*T2^10 - 6515*T1^11*T2^10 + 1904*T1^12*T2^10 - 
      536*T1^5*T2^11 + 1720*T1^6*T2^11 - 1803*T1^7*T2^11 - 1393*T1^8*T2^11 + 
      6207*T1^9*T2^11 - 6515*T1^10*T2^11 + 3468*T1^11*T2^11 - 
      840*T1^12*T2^11 + 176*T1^6*T2^12 - 840*T1^7*T2^12 + 1904*T1^8*T2^12 - 
      2520*T1^9*T2^12 + 1904*T1^10*T2^12 - 840*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1002] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 13*T^4 - 11*T^5 + 8*T^6 - 
      4*T^7 + T^8))/T^5, (-4 + 20*T1 - 52*T1^2 + 92*T1^3 - 128*T1^4 + 
     140*T1^5 - 128*T1^6 + 92*T1^7 - 52*T1^8 + 20*T1^9 - 4*T1^10 + 20*T2 - 
     85*T1*T2 + 185*T1^2*T2 - 265*T1^3*T2 + 295*T1^4*T2 - 220*T1^5*T2 + 
     115*T1^6*T2 + 20*T1^7*T2 - 85*T1^8*T2 + 95*T1^9*T2 - 55*T1^10*T2 + 
     15*T1^11*T2 - 52*T2^2 + 185*T1*T2^2 - 328*T1^2*T2^2 + 356*T1^3*T2^2 - 
     289*T1^4*T2^2 + 39*T1^5*T2^2 + 102*T1^6*T2^2 - 273*T1^7*T2^2 + 
     205*T1^8*T2^2 - 112*T1^9*T2^2 - 16*T1^10*T2^2 + 55*T1^11*T2^2 - 
     26*T1^12*T2^2 + 92*T2^3 - 265*T1*T2^3 + 356*T1^2*T2^3 - 228*T1^3*T2^3 + 
     69*T1^4*T2^3 + 286*T1^5*T2^3 - 222*T1^6*T2^3 + 338*T1^7*T2^3 + 
     23*T1^8*T2^3 - 144*T1^9*T2^3 + 258*T1^10*T2^3 - 151*T1^11*T2^3 + 
     15*T1^12*T2^3 + 23*T1^13*T2^3 - 128*T2^4 + 295*T1*T2^4 - 289*T1^2*T2^4 + 
     69*T1^3*T2^4 - 11*T1^4*T2^4 - 274*T1^5*T2^4 - 142*T1^6*T2^4 - 
     93*T1^7*T2^4 - 470*T1^8*T2^4 + 256*T1^9*T2^4 - 183*T1^10*T2^4 - 
     115*T1^11*T2^4 + 225*T1^12*T2^4 - 115*T1^13*T2^4 + 140*T2^5 - 
     220*T1*T2^5 + 39*T1^2*T2^5 + 286*T1^3*T2^5 - 274*T1^4*T2^5 + 
     582*T1^5*T2^5 + 38*T1^6*T2^5 + 472*T1^7*T2^5 + 405*T1^8*T2^5 + 
     158*T1^9*T2^5 - 114*T1^10*T2^5 + 264*T1^11*T2^5 - 135*T1^12*T2^5 - 
     135*T1^13*T2^5 + 175*T1^14*T2^5 - 35*T1^15*T2^5 - 128*T2^6 + 
     115*T1*T2^6 + 102*T1^2*T2^6 - 222*T1^3*T2^6 - 142*T1^4*T2^6 + 
     38*T1^5*T2^6 - 853*T1^6*T2^6 + 83*T1^7*T2^6 - 1113*T1^8*T2^6 - 
     57*T1^9*T2^6 - 93*T1^10*T2^6 + 42*T1^11*T2^6 - 114*T1^12*T2^6 + 
     302*T1^13*T2^6 - 70*T1^14*T2^6 - 145*T1^15*T2^6 + 64*T1^16*T2^6 + 
     92*T2^7 + 20*T1*T2^7 - 273*T1^2*T2^7 + 338*T1^3*T2^7 - 93*T1^4*T2^7 + 
     472*T1^5*T2^7 + 83*T1^6*T2^7 + 778*T1^7*T2^7 + 522*T1^8*T2^7 + 
     661*T1^9*T2^7 + 82*T1^10*T2^7 - 278*T1^11*T2^7 + 19*T1^12*T2^7 - 
     174*T1^13*T2^7 - 270*T1^14*T2^7 + 269*T1^15*T2^7 + 25*T1^16*T2^7 - 
     69*T1^17*T2^7 - 52*T2^8 - 85*T1*T2^8 + 205*T1^2*T2^8 + 23*T1^3*T2^8 - 
     470*T1^4*T2^8 + 405*T1^5*T2^8 - 1113*T1^6*T2^8 + 522*T1^7*T2^8 - 
     1445*T1^8*T2^8 - 123*T1^9*T2^8 - 321*T1^10*T2^8 + 190*T1^11*T2^8 + 
     669*T1^12*T2^8 - 107*T1^13*T2^8 + 570*T1^14*T2^8 - 109*T1^15*T2^8 - 
     229*T1^16*T2^8 + 85*T1^17*T2^8 + 52*T1^18*T2^8 + 20*T2^9 + 95*T1*T2^9 - 
     112*T1^2*T2^9 - 144*T1^3*T2^9 + 256*T1^4*T2^9 + 158*T1^5*T2^9 - 
     57*T1^6*T2^9 + 661*T1^7*T2^9 - 123*T1^8*T2^9 + 745*T1^9*T2^9 + 
     245*T1^10*T2^9 - 719*T1^11*T2^9 - 420*T1^12*T2^9 - 580*T1^13*T2^9 - 
     426*T1^14*T2^9 - 234*T1^15*T2^9 + 243*T1^16*T2^9 + 83*T1^17*T2^9 - 
     135*T1^18*T2^9 - 25*T1^19*T2^9 - 4*T2^10 - 55*T1*T2^10 - 16*T1^2*T2^10 + 
     258*T1^3*T2^10 - 183*T1^4*T2^10 - 114*T1^5*T2^10 - 93*T1^6*T2^10 + 
     82*T1^7*T2^10 - 321*T1^8*T2^10 + 245*T1^9*T2^10 - 96*T1^10*T2^10 - 
     29*T1^11*T2^10 + 2075*T1^12*T2^10 - 506*T1^13*T2^10 + 1583*T1^14*T2^10 - 
     118*T1^15*T2^10 + 187*T1^16*T2^10 - 326*T1^17*T2^10 + 128*T1^18*T2^10 + 
     95*T1^19*T2^10 + 6*T1^20*T2^10 + 15*T1*T2^11 + 55*T1^2*T2^11 - 
     151*T1^3*T2^11 - 115*T1^4*T2^11 + 264*T1^5*T2^11 + 42*T1^6*T2^11 - 
     278*T1^7*T2^11 + 190*T1^8*T2^11 - 719*T1^9*T2^11 - 29*T1^10*T2^11 - 
     529*T1^11*T2^11 - 1315*T1^12*T2^11 - 891*T1^13*T2^11 - 801*T1^14*T2^11 - 
     542*T1^15*T2^11 - 226*T1^16*T2^11 + 272*T1^17*T2^11 + 44*T1^18*T2^11 - 
     175*T1^19*T2^11 - 30*T1^20*T2^11 - 26*T1^2*T2^12 + 15*T1^3*T2^12 + 
     225*T1^4*T2^12 - 135*T1^5*T2^12 - 114*T1^6*T2^12 + 19*T1^7*T2^12 + 
     669*T1^8*T2^12 - 420*T1^9*T2^12 + 2075*T1^10*T2^12 - 1315*T1^11*T2^12 + 
     3199*T1^12*T2^12 - 752*T1^13*T2^12 + 2451*T1^14*T2^12 - 
     493*T1^15*T2^12 + 926*T1^16*T2^12 - 267*T1^17*T2^12 - 209*T1^18*T2^12 + 
     185*T1^19*T2^12 + 78*T1^20*T2^12 + 23*T1^3*T2^13 - 115*T1^4*T2^13 - 
     135*T1^5*T2^13 + 302*T1^6*T2^13 - 174*T1^7*T2^13 - 107*T1^8*T2^13 - 
     580*T1^9*T2^13 - 506*T1^10*T2^13 - 891*T1^11*T2^13 - 752*T1^12*T2^13 - 
     1202*T1^13*T2^13 - 941*T1^14*T2^13 - 560*T1^15*T2^13 - 255*T1^16*T2^13 - 
     306*T1^17*T2^13 + 407*T1^18*T2^13 - 110*T1^19*T2^13 - 138*T1^20*T2^13 + 
     175*T1^5*T2^14 - 70*T1^6*T2^14 - 270*T1^7*T2^14 + 570*T1^8*T2^14 - 
     426*T1^9*T2^14 + 1583*T1^10*T2^14 - 801*T1^11*T2^14 + 2451*T1^12*T2^14 - 
     941*T1^13*T2^14 + 2343*T1^14*T2^14 - 422*T1^15*T2^14 + 598*T1^16*T2^14 + 
     254*T1^17*T2^14 - 242*T1^18*T2^14 - 85*T1^19*T2^14 + 192*T1^20*T2^14 - 
     35*T1^5*T2^15 - 145*T1^6*T2^15 + 269*T1^7*T2^15 - 109*T1^8*T2^15 - 
     234*T1^9*T2^15 - 118*T1^10*T2^15 - 542*T1^11*T2^15 - 493*T1^12*T2^15 - 
     560*T1^13*T2^15 - 422*T1^14*T2^15 - 814*T1^15*T2^15 + 304*T1^16*T2^15 - 
     530*T1^17*T2^15 + 95*T1^18*T2^15 + 250*T1^19*T2^15 - 210*T1^20*T2^15 + 
     64*T1^6*T2^16 + 25*T1^7*T2^16 - 229*T1^8*T2^16 + 243*T1^9*T2^16 + 
     187*T1^10*T2^16 - 226*T1^11*T2^16 + 926*T1^12*T2^16 - 255*T1^13*T2^16 + 
     598*T1^14*T2^16 + 304*T1^15*T2^16 + 15*T1^16*T2^16 + 59*T1^17*T2^16 + 
     285*T1^18*T2^16 - 385*T1^19*T2^16 + 192*T1^20*T2^16 - 69*T1^7*T2^17 + 
     85*T1^8*T2^17 + 83*T1^9*T2^17 - 326*T1^10*T2^17 + 272*T1^11*T2^17 - 
     267*T1^12*T2^17 - 306*T1^13*T2^17 + 254*T1^14*T2^17 - 530*T1^15*T2^17 + 
     59*T1^16*T2^17 + 160*T1^17*T2^17 - 424*T1^18*T2^17 + 365*T1^19*T2^17 - 
     138*T1^20*T2^17 + 52*T1^8*T2^18 - 135*T1^9*T2^18 + 128*T1^10*T2^18 + 
     44*T1^11*T2^18 - 209*T1^12*T2^18 + 407*T1^13*T2^18 - 242*T1^14*T2^18 + 
     95*T1^15*T2^18 + 285*T1^16*T2^18 - 424*T1^17*T2^18 + 440*T1^18*T2^18 - 
     265*T1^19*T2^18 + 78*T1^20*T2^18 - 25*T1^9*T2^19 + 95*T1^10*T2^19 - 
     175*T1^11*T2^19 + 185*T1^12*T2^19 - 110*T1^13*T2^19 - 85*T1^14*T2^19 + 
     250*T1^15*T2^19 - 385*T1^16*T2^19 + 365*T1^17*T2^19 - 265*T1^18*T2^19 + 
     125*T1^19*T2^19 - 30*T1^20*T2^19 + 6*T1^10*T2^20 - 30*T1^11*T2^20 + 
     78*T1^12*T2^20 - 138*T1^13*T2^20 + 192*T1^14*T2^20 - 210*T1^15*T2^20 + 
     192*T1^16*T2^20 - 138*T1^17*T2^20 + 78*T1^18*T2^20 - 30*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1003] -> 
  {(2 - 10*T + 28*T^2 - 48*T^3 + 57*T^4 - 48*T^5 + 28*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-15 + 76*T1 - 215*T1^2 + 372*T1^3 - 443*T1^4 + 372*T1^5 - 
     215*T1^6 + 76*T1^7 - 15*T1^8 + 76*T2 - 348*T1*T2 + 901*T1^2*T2 - 
     1351*T1^3*T2 + 1318*T1^4*T2 - 782*T1^5*T2 + 169*T1^6*T2 + 141*T1^7*T2 - 
     108*T1^8*T2 + 36*T1^9*T2 - 215*T2^2 + 901*T1*T2^2 - 2141*T1^2*T2^2 + 
     2691*T1^3*T2^2 - 1808*T1^4*T2^2 - 53*T1^5*T2^2 + 1440*T1^6*T2^2 - 
     1565*T1^7*T2^2 + 771*T1^8*T2^2 - 219*T1^9*T2^2 + 9*T1^10*T2^2 + 
     372*T2^3 - 1351*T1*T2^3 + 2691*T1^2*T2^3 - 1926*T1^3*T2^3 - 
     1086*T1^4*T2^3 + 3855*T1^5*T2^3 - 3657*T1^6*T2^3 + 898*T1^7*T2^3 + 
     1834*T1^8*T2^3 - 2013*T1^9*T2^3 + 969*T1^10*T2^3 - 204*T1^11*T2^3 - 
     443*T2^4 + 1318*T1*T2^4 - 1808*T1^2*T2^4 - 1086*T1^3*T2^4 + 
     5242*T1^4*T2^4 - 5255*T1^5*T2^4 + 186*T1^6*T2^4 + 5257*T1^7*T2^4 - 
     6158*T1^8*T2^4 + 1986*T1^9*T2^4 + 1360*T1^10*T2^4 - 1322*T1^11*T2^4 + 
     469*T1^12*T2^4 + 372*T2^5 - 782*T1*T2^5 - 53*T1^2*T2^5 + 
     3855*T1^3*T2^5 - 5255*T1^4*T2^5 - 2802*T1^5*T2^5 + 13179*T1^6*T2^5 - 
     16221*T1^7*T2^5 + 8772*T1^8*T2^5 + 1813*T1^9*T2^5 - 4857*T1^10*T2^5 + 
     919*T1^11*T2^5 + 598*T1^12*T2^5 - 588*T1^13*T2^5 - 215*T2^6 + 
     169*T1*T2^6 + 1440*T1^2*T2^6 - 3657*T1^3*T2^6 + 186*T1^4*T2^6 + 
     13179*T1^5*T2^6 - 17038*T1^6*T2^6 + 6336*T1^7*T2^6 + 11306*T1^8*T2^6 - 
     18645*T1^9*T2^6 + 10170*T1^10*T2^6 + 2055*T1^11*T2^6 - 1968*T1^12*T2^6 + 
     649*T1^13*T2^6 + 457*T1^14*T2^6 + 76*T2^7 + 141*T1*T2^7 - 
     1565*T1^2*T2^7 + 898*T1^3*T2^7 + 5257*T1^4*T2^7 - 16221*T1^5*T2^7 + 
     6336*T1^6*T2^7 + 11226*T1^7*T2^7 - 21142*T1^8*T2^7 + 10208*T1^9*T2^7 + 
     8331*T1^10*T2^7 - 15587*T1^11*T2^7 + 3266*T1^12*T2^7 + 451*T1^13*T2^7 - 
     1259*T1^14*T2^7 - 204*T1^15*T2^7 - 15*T2^8 - 108*T1*T2^8 + 
     771*T1^2*T2^8 + 1834*T1^3*T2^8 - 6158*T1^4*T2^8 + 8772*T1^5*T2^8 + 
     11306*T1^6*T2^8 - 21142*T1^7*T2^8 + 13728*T1^8*T2^8 + 8602*T1^9*T2^8 - 
     19222*T1^10*T2^8 + 10716*T1^11*T2^8 + 8594*T1^12*T2^8 - 
     5046*T1^13*T2^8 + 1939*T1^14*T2^8 + 772*T1^15*T2^8 + 49*T1^16*T2^8 + 
     36*T1*T2^9 - 219*T1^2*T2^9 - 2013*T1^3*T2^9 + 1986*T1^4*T2^9 + 
     1813*T1^5*T2^9 - 18645*T1^6*T2^9 + 10208*T1^7*T2^9 + 8602*T1^8*T2^9 - 
     23766*T1^9*T2^9 + 14080*T1^10*T2^9 + 5907*T1^11*T2^9 - 
     19031*T1^12*T2^9 + 4354*T1^13*T2^9 + 3*T1^14*T2^9 - 1619*T1^15*T2^9 - 
     244*T1^16*T2^9 + 9*T1^2*T2^10 + 969*T1^3*T2^10 + 1360*T1^4*T2^10 - 
     4857*T1^5*T2^10 + 10170*T1^6*T2^10 + 8331*T1^7*T2^10 - 
     19222*T1^8*T2^10 + 14080*T1^9*T2^10 + 9122*T1^10*T2^10 - 
     23493*T1^11*T2^10 + 20154*T1^12*T2^10 + 855*T1^13*T2^10 - 
     2048*T1^14*T2^10 + 1449*T1^15*T2^10 + 681*T1^16*T2^10 - 204*T1^3*T2^11 - 
     1322*T1^4*T2^11 + 919*T1^5*T2^11 + 2055*T1^6*T2^11 - 15587*T1^7*T2^11 + 
     10716*T1^8*T2^11 + 5907*T1^9*T2^11 - 23493*T1^10*T2^11 + 
     22290*T1^11*T2^11 - 8519*T1^12*T2^11 - 6657*T1^13*T2^11 + 
     1891*T1^14*T2^11 + 58*T1^15*T2^11 - 1164*T1^16*T2^11 + 469*T1^4*T2^12 + 
     598*T1^5*T2^12 - 1968*T1^6*T2^12 + 3266*T1^7*T2^12 + 8594*T1^8*T2^12 - 
     19031*T1^9*T2^12 + 20154*T1^10*T2^12 - 8519*T1^11*T2^12 - 
     2806*T1^12*T2^12 + 6338*T1^13*T2^12 + 1200*T1^14*T2^12 - 
     2042*T1^15*T2^12 + 1381*T1^16*T2^12 - 588*T1^5*T2^13 + 649*T1^6*T2^13 + 
     451*T1^7*T2^13 - 5046*T1^8*T2^13 + 4354*T1^9*T2^13 + 855*T1^10*T2^13 - 
     6657*T1^11*T2^13 + 6338*T1^12*T2^13 - 1286*T1^13*T2^13 - 
     4253*T1^14*T2^13 + 2969*T1^15*T2^13 - 1164*T1^16*T2^13 + 
     457*T1^6*T2^14 - 1259*T1^7*T2^14 + 1939*T1^8*T2^14 + 3*T1^9*T2^14 - 
     2048*T1^10*T2^14 + 1891*T1^11*T2^14 + 1200*T1^12*T2^14 - 
     4253*T1^13*T2^14 + 4851*T1^14*T2^14 - 2379*T1^15*T2^14 + 
     681*T1^16*T2^14 - 204*T1^7*T2^15 + 772*T1^8*T2^15 - 1619*T1^9*T2^15 + 
     1449*T1^10*T2^15 + 58*T1^11*T2^15 - 2042*T1^12*T2^15 + 
     2969*T1^13*T2^15 - 2379*T1^14*T2^15 + 1012*T1^15*T2^15 - 
     244*T1^16*T2^15 + 49*T1^8*T2^16 - 244*T1^9*T2^16 + 681*T1^10*T2^16 - 
     1164*T1^11*T2^16 + 1381*T1^12*T2^16 - 1164*T1^13*T2^16 + 
     681*T1^14*T2^16 - 244*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1004] -> 
  {((2 - 3*T + 2*T^2)*(4 - 9*T + 11*T^2 - 9*T^3 + 4*T^4))/T^3, 
   -((3160 - 11698*T1 + 22061*T1^2 - 26624*T1^3 + 22061*T1^4 - 11698*T1^5 + 
      3160*T1^6 - 11698*T2 + 33678*T1*T2 - 45879*T1^2*T2 + 30757*T1^3*T2 + 
      517*T1^4*T2 - 24999*T1^5*T2 + 24558*T1^6*T2 - 9778*T1^7*T2 + 
      22061*T2^2 - 45879*T1*T2^2 + 34859*T1^2*T2^2 + 13950*T1^3*T2^2 - 
      51397*T1^4*T2^2 + 49518*T1^5*T2^2 - 9829*T1^6*T2^2 - 18519*T1^7*T2^2 + 
      14765*T1^8*T2^2 - 26624*T2^3 + 30757*T1*T2^3 + 13950*T1^2*T2^3 - 
      68520*T1^3*T2^3 + 61732*T1^4*T2^3 - 9656*T1^5*T2^3 - 47262*T1^6*T2^3 + 
      43362*T1^7*T2^3 - 5243*T1^8*T2^3 - 13376*T1^9*T2^3 + 22061*T2^4 + 
      517*T1*T2^4 - 51397*T1^2*T2^4 + 61732*T1^3*T2^4 + 5696*T1^4*T2^4 - 
      66302*T1^5*T2^4 + 77780*T1^6*T2^4 - 15272*T1^7*T2^4 - 31165*T1^8*T2^4 + 
      22117*T1^9*T2^4 + 7469*T1^10*T2^4 - 11698*T2^5 - 24999*T1*T2^5 + 
      49518*T1^2*T2^5 - 9656*T1^3*T2^5 - 66302*T1^4*T2^5 + 72205*T1^5*T2^5 - 
      22643*T1^6*T2^5 - 50741*T1^7*T2^5 + 50500*T1^8*T2^5 - 4518*T1^9*T2^5 - 
      19959*T1^10*T2^5 - 2098*T1^11*T2^5 + 3160*T2^6 + 24558*T1*T2^6 - 
      9829*T1^2*T2^6 - 47262*T1^3*T2^6 + 77780*T1^4*T2^6 - 22643*T1^5*T2^6 - 
      39840*T1^6*T2^6 + 65899*T1^7*T2^6 - 14110*T1^8*T2^6 - 31026*T1^9*T2^6 + 
      24299*T1^10*T2^6 + 7278*T1^11*T2^6 + 88*T1^12*T2^6 - 9778*T1*T2^7 - 
      18519*T1^2*T2^7 + 43362*T1^3*T2^7 - 15272*T1^4*T2^7 - 50741*T1^5*T2^7 + 
      65899*T1^6*T2^7 - 28949*T1^7*T2^7 - 35180*T1^8*T2^7 + 44884*T1^9*T2^7 - 
      10674*T1^10*T2^7 - 13479*T1^11*T2^7 - 178*T1^12*T2^7 + 
      14765*T1^2*T2^8 - 5243*T1^3*T2^8 - 31165*T1^4*T2^8 + 50500*T1^5*T2^8 - 
      14110*T1^6*T2^8 - 35180*T1^7*T2^8 + 57974*T1^8*T2^8 - 26504*T1^9*T2^8 - 
      10933*T1^10*T2^8 + 16357*T1^11*T2^8 + 173*T1^12*T2^8 - 
      13376*T1^3*T2^9 + 22117*T1^4*T2^9 - 4518*T1^5*T2^9 - 31026*T1^6*T2^9 + 
      44884*T1^7*T2^9 - 26504*T1^8*T2^9 - 9768*T1^9*T2^9 + 24894*T1^10*T2^9 - 
      13883*T1^11*T2^9 - 128*T1^12*T2^9 + 7469*T1^4*T2^10 - 
      19959*T1^5*T2^10 + 24299*T1^6*T2^10 - 10674*T1^7*T2^10 - 
      10933*T1^8*T2^10 + 24894*T1^9*T2^10 - 20389*T1^10*T2^10 + 
      7401*T1^11*T2^10 + 173*T1^12*T2^10 - 2098*T1^5*T2^11 + 
      7278*T1^6*T2^11 - 13479*T1^7*T2^11 + 16357*T1^8*T2^11 - 
      13883*T1^9*T2^11 + 7401*T1^10*T2^11 - 1842*T1^11*T2^11 - 
      178*T1^12*T2^11 + 88*T1^6*T2^12 - 178*T1^7*T2^12 + 173*T1^8*T2^12 - 
      128*T1^9*T2^12 + 173*T1^10*T2^12 - 178*T1^11*T2^12 + 88*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1005] -> 
  {(2 - 11*T + 29*T^2 - 49*T^3 + 59*T^4 - 49*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-31 + 171*T1 - 452*T1^2 + 765*T1^3 - 921*T1^4 + 765*T1^5 - 
     452*T1^6 + 171*T1^7 - 31*T1^8 + 171*T2 - 816*T1*T2 + 1791*T1^2*T2 - 
     2363*T1^3*T2 + 1938*T1^4*T2 - 438*T1^5*T2 - 647*T1^6*T2 + 911*T1^7*T2 - 
     530*T1^8*T2 + 127*T1^9*T2 - 452*T2^2 + 1791*T1*T2^2 - 2936*T1^2*T2^2 + 
     2122*T1^3*T2^2 + 711*T1^4*T2^2 - 4290*T1^5*T2^2 + 4191*T1^6*T2^2 - 
     2286*T1^7*T2^2 + 196*T1^8*T2^2 + 515*T1^9*T2^2 - 220*T1^10*T2^2 + 
     765*T2^3 - 2363*T1*T2^3 + 2122*T1^2*T2^3 + 1707*T1^3*T2^3 - 
     6419*T1^4*T2^3 + 8808*T1^5*T2^3 - 2712*T1^6*T2^3 - 2117*T1^7*T2^3 + 
     3941*T1^8*T2^3 - 2257*T1^9*T2^3 + 233*T1^10*T2^3 + 177*T1^11*T2^3 - 
     921*T2^4 + 1938*T1*T2^4 + 711*T1^2*T2^4 - 6419*T1^3*T2^4 + 
     8699*T1^4*T2^4 - 5045*T1^5*T2^4 - 7703*T1^6*T2^4 + 9359*T1^7*T2^4 - 
     5361*T1^8*T2^4 - 441*T1^9*T2^4 + 2541*T1^10*T2^4 - 1098*T1^11*T2^4 + 
     23*T1^12*T2^4 + 765*T2^5 - 438*T1*T2^5 - 4290*T1^2*T2^5 + 
     8808*T1^3*T2^5 - 5045*T1^4*T2^5 - 4156*T1^5*T2^5 + 15519*T1^6*T2^5 - 
     5683*T1^7*T2^5 - 4618*T1^8*T2^5 + 8502*T1^9*T2^5 - 5172*T1^10*T2^5 + 
     75*T1^11*T2^5 + 1058*T1^12*T2^5 - 215*T1^13*T2^5 - 452*T2^6 - 
     647*T1*T2^6 + 4191*T1^2*T2^6 - 2712*T1^3*T2^6 - 7703*T1^4*T2^6 + 
     15519*T1^5*T2^6 - 14485*T1^6*T2^6 - 7315*T1^7*T2^6 + 15643*T1^8*T2^6 - 
     8677*T1^9*T2^6 - 421*T1^10*T2^6 + 5118*T1^11*T2^6 - 2589*T1^12*T2^6 - 
     163*T1^13*T2^6 + 244*T1^14*T2^6 + 171*T2^7 + 911*T1*T2^7 - 
     2286*T1^2*T2^7 - 2117*T1^3*T2^7 + 9359*T1^4*T2^7 - 5683*T1^5*T2^7 - 
     7315*T1^6*T2^7 + 24515*T1^7*T2^7 - 16997*T1^8*T2^7 - 3348*T1^9*T2^7 + 
     9531*T1^10*T2^7 - 7616*T1^11*T2^7 + 285*T1^12*T2^7 + 2267*T1^13*T2^7 - 
     585*T1^14*T2^7 - 137*T1^15*T2^7 - 31*T2^8 - 530*T1*T2^8 + 
     196*T1^2*T2^8 + 3941*T1^3*T2^8 - 5361*T1^4*T2^8 - 4618*T1^5*T2^8 + 
     15643*T1^6*T2^8 - 16997*T1^7*T2^8 - 468*T1^8*T2^8 + 18481*T1^9*T2^8 - 
     9731*T1^10*T2^8 + 1466*T1^11*T2^8 + 5687*T1^12*T2^8 - 3973*T1^13*T2^8 - 
     134*T1^14*T2^8 + 570*T1^15*T2^8 + 33*T1^16*T2^8 + 127*T1*T2^9 + 
     515*T1^2*T2^9 - 2257*T1^3*T2^9 - 441*T1^4*T2^9 + 8502*T1^5*T2^9 - 
     8677*T1^6*T2^9 - 3348*T1^7*T2^9 + 18481*T1^8*T2^9 - 23031*T1^9*T2^9 + 
     619*T1^10*T2^9 + 6537*T1^11*T2^9 - 8473*T1^12*T2^9 + 1961*T1^13*T2^9 + 
     2296*T1^14*T2^9 - 981*T1^15*T2^9 - 181*T1^16*T2^9 - 220*T1^2*T2^10 + 
     233*T1^3*T2^10 + 2541*T1^4*T2^10 - 5172*T1^5*T2^10 - 421*T1^6*T2^10 + 
     9531*T1^7*T2^10 - 9731*T1^8*T2^10 + 619*T1^9*T2^10 + 20397*T1^10*T2^10 - 
     14665*T1^11*T2^10 + 6861*T1^12*T2^10 + 2658*T1^13*T2^10 - 
     4239*T1^14*T2^10 + 717*T1^15*T2^10 + 476*T1^16*T2^10 + 177*T1^3*T2^11 - 
     1098*T1^4*T2^11 + 75*T1^5*T2^11 + 5118*T1^6*T2^11 - 7616*T1^7*T2^11 + 
     1466*T1^8*T2^11 + 6537*T1^9*T2^11 - 14665*T1^10*T2^11 + 
     1004*T1^11*T2^11 + 5931*T1^12*T2^11 - 8862*T1^13*T2^11 + 
     4440*T1^14*T2^11 + 398*T1^15*T2^11 - 803*T1^16*T2^11 + 23*T1^4*T2^12 + 
     1058*T1^5*T2^12 - 2589*T1^6*T2^12 + 285*T1^7*T2^12 + 5687*T1^8*T2^12 - 
     8473*T1^9*T2^12 + 6861*T1^10*T2^12 + 5931*T1^11*T2^12 - 
     8373*T1^12*T2^12 + 6263*T1^13*T2^12 - 759*T1^14*T2^12 - 
     1978*T1^15*T2^12 + 967*T1^16*T2^12 - 215*T1^5*T2^13 - 163*T1^6*T2^13 + 
     2267*T1^7*T2^13 - 3973*T1^8*T2^13 + 1961*T1^9*T2^13 + 2658*T1^10*T2^13 - 
     8862*T1^11*T2^13 + 6263*T1^12*T2^13 - 1739*T1^13*T2^13 - 
     2112*T1^14*T2^13 + 2433*T1^15*T2^13 - 803*T1^16*T2^13 + 244*T1^6*T2^14 - 
     585*T1^7*T2^14 - 134*T1^8*T2^14 + 2296*T1^9*T2^14 - 4239*T1^10*T2^14 + 
     4440*T1^11*T2^14 - 759*T1^12*T2^14 - 2112*T1^13*T2^14 + 
     2998*T1^14*T2^14 - 1861*T1^15*T2^14 + 476*T1^16*T2^14 - 137*T1^7*T2^15 + 
     570*T1^8*T2^15 - 981*T1^9*T2^15 + 717*T1^10*T2^15 + 398*T1^11*T2^15 - 
     1978*T1^12*T2^15 + 2433*T1^13*T2^15 - 1861*T1^14*T2^15 + 
     856*T1^15*T2^15 - 181*T1^16*T2^15 + 33*T1^8*T2^16 - 181*T1^9*T2^16 + 
     476*T1^10*T2^16 - 803*T1^11*T2^16 + 967*T1^12*T2^16 - 803*T1^13*T2^16 + 
     476*T1^14*T2^16 - 181*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1006] -> 
  {(2 - 10*T + 25*T^2 - 41*T^3 + 49*T^4 - 41*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 155*T1 - 388*T1^2 + 637*T1^3 - 761*T1^4 + 637*T1^5 - 
     388*T1^6 + 155*T1^7 - 31*T1^8 + 155*T2 - 660*T1*T2 + 1365*T1^2*T2 - 
     1745*T1^3*T2 + 1440*T1^4*T2 - 360*T1^5*T2 - 425*T1^6*T2 + 665*T1^7*T2 - 
     420*T1^8*T2 + 115*T1^9*T2 - 388*T2^2 + 1365*T1*T2^2 - 2167*T1^2*T2^2 + 
     1703*T1^3*T2^2 - 28*T1^4*T2^2 - 2319*T1^5*T2^2 + 2372*T1^6*T2^2 - 
     1397*T1^7*T2^2 + 133*T1^8*T2^2 + 365*T1^9*T2^2 - 188*T1^10*T2^2 + 
     637*T2^3 - 1745*T1*T2^3 + 1703*T1^2*T2^3 + 420*T1^3*T2^3 - 
     2999*T1^4*T2^3 + 4793*T1^5*T2^3 - 1471*T1^6*T2^3 - 1013*T1^7*T2^3 + 
     2248*T1^8*T2^3 - 1447*T1^9*T2^3 + 215*T1^10*T2^3 + 145*T1^11*T2^3 - 
     761*T2^4 + 1440*T1*T2^4 - 28*T1^2*T2^4 - 2999*T1^3*T2^4 + 
     4234*T1^4*T2^4 - 3186*T1^5*T2^4 - 3654*T1^6*T2^4 + 4342*T1^7*T2^4 - 
     2762*T1^8*T2^4 - 211*T1^9*T2^4 + 1572*T1^10*T2^4 - 840*T1^11*T2^4 + 
     23*T1^12*T2^4 + 637*T2^5 - 360*T1*T2^5 - 2319*T1^2*T2^5 + 
     4793*T1^3*T2^5 - 3186*T1^4*T2^5 - 453*T1^5*T2^5 + 7156*T1^6*T2^5 - 
     2424*T1^7*T2^5 - 1903*T1^8*T2^5 + 4059*T1^9*T2^5 - 2847*T1^10*T2^5 + 
     81*T1^11*T2^5 + 800*T1^12*T2^5 - 183*T1^13*T2^5 - 388*T2^6 - 
     425*T1*T2^6 + 2372*T1^2*T2^6 - 1471*T1^3*T2^6 - 3654*T1^4*T2^6 + 
     7156*T1^5*T2^6 - 8392*T1^6*T2^6 - 2446*T1^7*T2^6 + 6468*T1^8*T2^6 - 
     4014*T1^9*T2^6 + 156*T1^10*T2^6 + 2729*T1^11*T2^6 - 1628*T1^12*T2^6 - 
     145*T1^13*T2^6 + 212*T1^14*T2^6 + 155*T2^7 + 665*T1*T2^7 - 
     1397*T1^2*T2^7 - 1013*T1^3*T2^7 + 4342*T1^4*T2^7 - 2424*T1^5*T2^7 - 
     2446*T1^6*T2^7 + 11590*T1^7*T2^7 - 8340*T1^8*T2^7 - 1027*T1^9*T2^7 + 
     3976*T1^10*T2^7 - 4035*T1^11*T2^7 + 209*T1^12*T2^7 + 1453*T1^13*T2^7 - 
     435*T1^14*T2^7 - 125*T1^15*T2^7 - 31*T2^8 - 420*T1*T2^8 + 
     133*T1^2*T2^8 + 2248*T1^3*T2^8 - 2762*T1^4*T2^8 - 1903*T1^5*T2^8 + 
     6468*T1^6*T2^8 - 8340*T1^7*T2^8 + 540*T1^8*T2^8 + 8328*T1^9*T2^8 - 
     4054*T1^10*T2^8 + 1011*T1^11*T2^8 + 3086*T1^12*T2^8 - 2340*T1^13*T2^8 - 
     67*T1^14*T2^8 + 460*T1^15*T2^8 + 33*T1^16*T2^8 + 115*T1*T2^9 + 
     365*T1^2*T2^9 - 1447*T1^3*T2^9 - 211*T1^4*T2^9 + 4059*T1^5*T2^9 - 
     4014*T1^6*T2^9 - 1027*T1^7*T2^9 + 8328*T1^8*T2^9 - 11602*T1^9*T2^9 + 
     392*T1^10*T2^9 + 2386*T1^11*T2^9 - 4318*T1^12*T2^9 + 1011*T1^13*T2^9 + 
     1403*T1^14*T2^9 - 735*T1^15*T2^9 - 165*T1^16*T2^9 - 188*T1^2*T2^10 + 
     215*T1^3*T2^10 + 1572*T1^4*T2^10 - 2847*T1^5*T2^10 + 156*T1^6*T2^10 + 
     3976*T1^7*T2^10 - 4054*T1^8*T2^10 + 392*T1^9*T2^10 + 10806*T1^10*T2^10 - 
     7194*T1^11*T2^10 + 3966*T1^12*T2^10 + 1353*T1^13*T2^10 - 
     2428*T1^14*T2^10 + 495*T1^15*T2^10 + 412*T1^16*T2^10 + 145*T1^3*T2^11 - 
     840*T1^4*T2^11 + 81*T1^5*T2^11 + 2729*T1^6*T2^11 - 4035*T1^7*T2^11 + 
     1011*T1^8*T2^11 + 2386*T1^9*T2^11 - 7194*T1^10*T2^11 - 439*T1^11*T2^11 + 
     3210*T1^12*T2^11 - 4911*T1^13*T2^11 + 2481*T1^14*T2^11 + 
     320*T1^15*T2^11 - 675*T1^16*T2^11 + 23*T1^4*T2^12 + 800*T1^5*T2^12 - 
     1628*T1^6*T2^12 + 209*T1^7*T2^12 + 3086*T1^8*T2^12 - 4318*T1^9*T2^12 + 
     3966*T1^10*T2^12 + 3210*T1^11*T2^12 - 3910*T1^12*T2^12 + 
     2997*T1^13*T2^12 - 28*T1^14*T2^12 - 1480*T1^15*T2^12 + 807*T1^16*T2^12 - 
     183*T1^5*T2^13 - 145*T1^6*T2^13 + 1453*T1^7*T2^13 - 2340*T1^8*T2^13 + 
     1011*T1^9*T2^13 + 1353*T1^10*T2^13 - 4911*T1^11*T2^13 + 
     2997*T1^12*T2^13 - 512*T1^13*T2^13 - 1697*T1^14*T2^13 + 
     1815*T1^15*T2^13 - 675*T1^16*T2^13 + 212*T1^6*T2^14 - 435*T1^7*T2^14 - 
     67*T1^8*T2^14 + 1403*T1^9*T2^14 - 2428*T1^10*T2^14 + 2481*T1^11*T2^14 - 
     28*T1^12*T2^14 - 1697*T1^13*T2^14 + 2233*T1^14*T2^14 - 
     1435*T1^15*T2^14 + 412*T1^16*T2^14 - 125*T1^7*T2^15 + 460*T1^8*T2^15 - 
     735*T1^9*T2^15 + 495*T1^10*T2^15 + 320*T1^11*T2^15 - 1480*T1^12*T2^15 + 
     1815*T1^13*T2^15 - 1435*T1^14*T2^15 + 700*T1^15*T2^15 - 
     165*T1^16*T2^15 + 33*T1^8*T2^16 - 165*T1^9*T2^16 + 412*T1^10*T2^16 - 
     675*T1^11*T2^16 + 807*T1^12*T2^16 - 675*T1^13*T2^16 + 412*T1^14*T2^16 - 
     165*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1007] -> 
  {-((2 - 9*T + 19*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-25 + 112*T1 - 236*T1^2 + 336*T1^3 - 361*T1^4 + 336*T1^5 - 
      236*T1^6 + 112*T1^7 - 25*T1^8 + 112*T2 - 426*T1*T2 + 718*T1^2*T2 - 
      790*T1^3*T2 + 598*T1^4*T2 - 410*T1^5*T2 + 38*T1^6*T2 + 214*T1^7*T2 - 
      228*T1^8*T2 + 76*T1^9*T2 - 236*T2^2 + 718*T1*T2^2 - 798*T1^2*T2^2 + 
      373*T1^3*T2^2 + 297*T1^4*T2^2 - 512*T1^5*T2^2 + 1057*T1^6*T2^2 - 
      995*T1^7*T2^2 + 494*T1^8*T2^2 + 34*T1^9*T2^2 - 84*T1^10*T2^2 + 
      336*T2^3 - 790*T1*T2^3 + 373*T1^2*T2^3 + 459*T1^3*T2^3 - 
      1114*T1^4*T2^3 + 795*T1^5*T2^3 - 1329*T1^6*T2^3 + 596*T1^7*T2^3 + 
      369*T1^8*T2^3 - 824*T1^9*T2^3 + 326*T1^10*T2^3 + 12*T1^11*T2^3 - 
      361*T2^4 + 598*T1*T2^4 + 297*T1^2*T2^4 - 1114*T1^3*T2^4 + 
      1299*T1^4*T2^4 - 421*T1^5*T2^4 + 1129*T1^6*T2^4 + 263*T1^7*T2^4 - 
      1185*T1^8*T2^4 + 884*T1^9*T2^4 + 331*T1^10*T2^4 - 518*T1^11*T2^4 + 
      103*T1^12*T2^4 + 336*T2^5 - 410*T1*T2^5 - 512*T1^2*T2^5 + 
      795*T1^3*T2^5 - 421*T1^4*T2^5 - 496*T1^5*T2^5 - 708*T1^6*T2^5 - 
      978*T1^7*T2^5 + 1178*T1^8*T2^5 + 92*T1^9*T2^5 - 1149*T1^10*T2^5 + 
      379*T1^11*T2^5 + 454*T1^12*T2^5 - 204*T1^13*T2^5 - 236*T2^6 + 
      38*T1*T2^6 + 1057*T1^2*T2^6 - 1329*T1^3*T2^6 + 1129*T1^4*T2^6 - 
      708*T1^5*T2^6 + 1745*T1^6*T2^6 + 835*T1^7*T2^6 - 855*T1^8*T2^6 - 
      456*T1^9*T2^6 + 231*T1^10*T2^6 + 1065*T1^11*T2^6 - 1155*T1^12*T2^6 - 
      70*T1^13*T2^6 + 220*T1^14*T2^6 + 112*T2^7 + 214*T1*T2^7 - 
      995*T1^2*T2^7 + 596*T1^3*T2^7 + 263*T1^4*T2^7 - 978*T1^5*T2^7 + 
      835*T1^6*T2^7 - 3031*T1^7*T2^7 + 1361*T1^8*T2^7 + 772*T1^9*T2^7 + 
      336*T1^10*T2^7 - 934*T1^11*T2^7 + 38*T1^12*T2^7 + 1228*T1^13*T2^7 - 
      362*T1^14*T2^7 - 140*T1^15*T2^7 - 25*T2^8 - 228*T1*T2^8 + 
      494*T1^2*T2^8 + 369*T1^3*T2^8 - 1185*T1^4*T2^8 + 1178*T1^5*T2^8 - 
      855*T1^6*T2^8 + 1361*T1^7*T2^8 + 936*T1^8*T2^8 - 2077*T1^9*T2^8 - 
      625*T1^10*T2^8 + 206*T1^11*T2^8 + 935*T1^12*T2^8 - 1341*T1^13*T2^8 - 
      384*T1^14*T2^8 + 456*T1^15*T2^8 + 39*T1^16*T2^8 + 76*T1*T2^9 + 
      34*T1^2*T2^9 - 824*T1^3*T2^9 + 884*T1^4*T2^9 + 92*T1^5*T2^9 - 
      456*T1^6*T2^9 + 772*T1^7*T2^9 - 2077*T1^8*T2^9 + 2315*T1^9*T2^9 + 
      709*T1^10*T2^9 + 858*T1^11*T2^9 - 1105*T1^12*T2^9 + 326*T1^13*T2^9 + 
      1399*T1^14*T2^9 - 542*T1^15*T2^9 - 176*T1^16*T2^9 - 84*T1^2*T2^10 + 
      326*T1^3*T2^10 + 331*T1^4*T2^10 - 1149*T1^5*T2^10 + 231*T1^6*T2^10 + 
      336*T1^7*T2^10 - 625*T1^8*T2^10 + 709*T1^9*T2^10 - 3225*T1^10*T2^10 + 
      588*T1^11*T2^10 - 667*T1^12*T2^10 + 1245*T1^13*T2^10 - 
      1881*T1^14*T2^10 + 218*T1^15*T2^10 + 372*T1^16*T2^10 + 12*T1^3*T2^11 - 
      518*T1^4*T2^11 + 379*T1^5*T2^11 + 1065*T1^6*T2^11 - 934*T1^7*T2^11 + 
      206*T1^8*T2^11 + 858*T1^9*T2^11 + 588*T1^10*T2^11 + 1880*T1^11*T2^11 - 
      421*T1^12*T2^11 - 879*T1^13*T2^11 + 1270*T1^14*T2^11 + 
      346*T1^15*T2^11 - 528*T1^16*T2^11 + 103*T1^4*T2^12 + 454*T1^5*T2^12 - 
      1155*T1^6*T2^12 + 38*T1^7*T2^12 + 935*T1^8*T2^12 - 1105*T1^9*T2^12 - 
      667*T1^10*T2^12 - 421*T1^11*T2^12 - 1549*T1^12*T2^12 + 
      2036*T1^13*T2^12 - 1121*T1^14*T2^12 - 662*T1^15*T2^12 + 
      567*T1^16*T2^12 - 204*T1^5*T2^13 - 70*T1^6*T2^13 + 1228*T1^7*T2^13 - 
      1341*T1^8*T2^13 + 326*T1^9*T2^13 + 1245*T1^10*T2^13 - 879*T1^11*T2^13 + 
      2036*T1^12*T2^13 - 1431*T1^13*T2^13 + 31*T1^14*T2^13 + 
      1046*T1^15*T2^13 - 528*T1^16*T2^13 + 220*T1^6*T2^14 - 362*T1^7*T2^14 - 
      384*T1^8*T2^14 + 1399*T1^9*T2^14 - 1881*T1^10*T2^14 + 
      1270*T1^11*T2^14 - 1121*T1^12*T2^14 + 31*T1^13*T2^14 + 
      908*T1^14*T2^14 - 1046*T1^15*T2^14 + 372*T1^16*T2^14 - 140*T1^7*T2^15 + 
      456*T1^8*T2^15 - 542*T1^9*T2^15 + 218*T1^10*T2^15 + 346*T1^11*T2^15 - 
      662*T1^12*T2^15 + 1046*T1^13*T2^15 - 1046*T1^14*T2^15 + 
      654*T1^15*T2^15 - 176*T1^16*T2^15 + 39*T1^8*T2^16 - 176*T1^9*T2^16 + 
      372*T1^10*T2^16 - 528*T1^11*T2^16 + 567*T1^12*T2^16 - 528*T1^13*T2^16 + 
      372*T1^14*T2^16 - 176*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1008] -> 
  {-((4 - 20*T + 45*T^2 - 59*T^3 + 45*T^4 - 20*T^5 + 4*T^6)/T^3), 
   -(((4 - 20*T1 + 45*T1^2 - 59*T1^3 + 45*T1^4 - 20*T1^5 + 4*T1^6)*
      (1 + T1*T2)*(2 - 3*T1*T2 + 2*T1^2*T2^2)*(6 - 11*T1*T2 + 6*T1^2*T2^2)*
      (4 - 20*T2 + 45*T2^2 - 59*T2^3 + 45*T2^4 - 20*T2^5 + 4*T2^6))/
     (T1^7*T2^6))}, Knot[12, Alternating, 1009] -> 
  {(2 - 9*T + 19*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 19*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-49 + 220*T1 - 464*T1^2 + 610*T1^3 - 659*T1^4 + 610*T1^5 - 
     464*T1^6 + 220*T1^7 - 49*T1^8 + 220*T2 - 804*T1*T2 + 1258*T1^2*T2 - 
     998*T1^3*T2 + 670*T1^4*T2 - 266*T1^5*T2 - 206*T1^6*T2 + 754*T1^7*T2 - 
     606*T1^8*T2 + 184*T1^9*T2 - 464*T2^2 + 1258*T1*T2^2 - 989*T1^2*T2^2 - 
     686*T1^3*T2^2 + 1178*T1^4*T2^2 - 1557*T1^5*T2^2 + 1786*T1^6*T2^2 - 
     1902*T1^7*T2^2 + 303*T1^8*T2^2 + 574*T1^9*T2^2 - 312*T1^10*T2^2 + 
     610*T2^3 - 998*T1*T2^3 - 686*T1^2*T2^3 + 3063*T1^3*T2^3 - 
     1814*T1^4*T2^3 + 1417*T1^5*T2^3 - 875*T1^6*T2^3 + 310*T1^7*T2^3 + 
     2325*T1^8*T2^3 - 1655*T1^9*T2^3 + 10*T1^10*T2^3 + 310*T1^11*T2^3 - 
     659*T2^4 + 670*T1*T2^4 + 1178*T1^2*T2^4 - 1814*T1^3*T2^4 - 
     2188*T1^4*T2^4 + 2300*T1^5*T2^4 - 2614*T1^6*T2^4 + 2444*T1^7*T2^4 - 
     3988*T1^8*T2^4 + 436*T1^9*T2^4 + 1232*T1^10*T2^4 - 374*T1^11*T2^4 - 
     227*T1^12*T2^4 + 610*T2^5 - 266*T1*T2^5 - 1557*T1^2*T2^5 + 
     1417*T1^3*T2^5 + 2300*T1^4*T2^5 - 48*T1^5*T2^5 - 50*T1^6*T2^5 + 
     326*T1^7*T2^5 + 1358*T1^8*T2^5 + 1933*T1^9*T2^5 - 959*T1^10*T2^5 - 
     696*T1^11*T2^5 + 526*T1^12*T2^5 + 110*T1^13*T2^5 - 464*T2^6 - 
     206*T1*T2^6 + 1786*T1^2*T2^6 - 875*T1^3*T2^6 - 2614*T1^4*T2^6 - 
     50*T1^5*T2^6 - 1249*T1^6*T2^6 + 1863*T1^7*T2^6 - 3565*T1^8*T2^6 + 
     334*T1^9*T2^6 - 1516*T1^10*T2^6 + 1291*T1^11*T2^6 + 70*T1^12*T2^6 - 
     458*T1^13*T2^6 - 8*T1^14*T2^6 + 220*T2^7 + 754*T1*T2^7 - 
     1902*T1^2*T2^7 + 310*T1^3*T2^7 + 2444*T1^4*T2^7 + 326*T1^5*T2^7 + 
     1863*T1^6*T2^7 - 2407*T1^7*T2^7 + 2639*T1^8*T2^7 + 954*T1^9*T2^7 - 
     34*T1^10*T2^7 + 767*T1^11*T2^7 - 1310*T1^12*T2^7 + 549*T1^13*T2^7 + 
     178*T1^14*T2^7 - 32*T1^15*T2^7 - 49*T2^8 - 606*T1*T2^8 + 303*T1^2*T2^8 + 
     2325*T1^3*T2^8 - 3988*T1^4*T2^8 + 1358*T1^5*T2^8 - 3565*T1^6*T2^8 + 
     2639*T1^7*T2^8 - 588*T1^8*T2^8 - 2491*T1^9*T2^8 + 993*T1^10*T2^8 - 
     1170*T1^11*T2^8 + 912*T1^12*T2^8 + 263*T1^13*T2^8 - 575*T1^14*T2^8 + 
     78*T1^15*T2^8 + 15*T1^16*T2^8 + 184*T1*T2^9 + 574*T1^2*T2^9 - 
     1655*T1^3*T2^9 + 436*T1^4*T2^9 + 1933*T1^5*T2^9 + 334*T1^6*T2^9 + 
     954*T1^7*T2^9 - 2491*T1^8*T2^9 + 2555*T1^9*T2^9 + 45*T1^10*T2^9 - 
     26*T1^11*T2^9 + 256*T1^12*T2^9 - 1184*T1^13*T2^9 + 796*T1^14*T2^9 - 
     2*T1^15*T2^9 - 68*T1^16*T2^9 - 312*T1^2*T2^10 + 10*T1^3*T2^10 + 
     1232*T1^4*T2^10 - 959*T1^5*T2^10 - 1516*T1^6*T2^10 - 34*T1^7*T2^10 + 
     993*T1^8*T2^10 + 45*T1^9*T2^10 - 1323*T1^10*T2^10 + 350*T1^11*T2^10 - 
     418*T1^12*T2^10 + 1207*T1^13*T2^10 - 484*T1^14*T2^10 - 242*T1^15*T2^10 + 
     144*T1^16*T2^10 + 310*T1^3*T2^11 - 374*T1^4*T2^11 - 696*T1^5*T2^11 + 
     1291*T1^6*T2^11 + 767*T1^7*T2^11 - 1170*T1^8*T2^11 - 26*T1^9*T2^11 + 
     350*T1^10*T2^11 + 236*T1^11*T2^11 + 400*T1^12*T2^11 - 1085*T1^13*T2^11 + 
     165*T1^14*T2^11 + 418*T1^15*T2^11 - 190*T1^16*T2^11 - 227*T1^4*T2^12 + 
     526*T1^5*T2^12 + 70*T1^6*T2^12 - 1310*T1^7*T2^12 + 912*T1^8*T2^12 + 
     256*T1^9*T2^12 - 418*T1^10*T2^12 + 400*T1^11*T2^12 - 888*T1^12*T2^12 + 
     940*T1^13*T2^12 + 124*T1^14*T2^12 - 518*T1^15*T2^12 + 205*T1^16*T2^12 + 
     110*T1^5*T2^13 - 458*T1^6*T2^13 + 549*T1^7*T2^13 + 263*T1^8*T2^13 - 
     1184*T1^9*T2^13 + 1207*T1^10*T2^13 - 1085*T1^11*T2^13 + 
     940*T1^12*T2^13 - 475*T1^13*T2^13 - 420*T1^14*T2^13 + 550*T1^15*T2^13 - 
     190*T1^16*T2^13 - 8*T1^6*T2^14 + 178*T1^7*T2^14 - 575*T1^8*T2^14 + 
     796*T1^9*T2^14 - 484*T1^10*T2^14 + 165*T1^11*T2^14 + 124*T1^12*T2^14 - 
     420*T1^13*T2^14 + 717*T1^14*T2^14 - 506*T1^15*T2^14 + 144*T1^16*T2^14 - 
     32*T1^7*T2^15 + 78*T1^8*T2^15 - 2*T1^9*T2^15 - 242*T1^10*T2^15 + 
     418*T1^11*T2^15 - 518*T1^12*T2^15 + 550*T1^13*T2^15 - 506*T1^14*T2^15 + 
     276*T1^15*T2^15 - 68*T1^16*T2^15 + 15*T1^8*T2^16 - 68*T1^9*T2^16 + 
     144*T1^10*T2^16 - 190*T1^11*T2^16 + 205*T1^12*T2^16 - 190*T1^13*T2^16 + 
     144*T1^14*T2^16 - 68*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1010] -> 
  {((1 - T + T^2)*(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4))/T^3, 
   (-272 + 1352*T1 - 3032*T1^2 + 3832*T1^3 - 3032*T1^4 + 1352*T1^5 - 
     272*T1^6 + 1352*T2 - 5692*T1*T2 + 9960*T1^2*T2 - 7584*T1^3*T2 + 
     576*T1^4*T2 + 4760*T1^5*T2 - 3772*T1^6*T2 + 1032*T1^7*T2 - 3032*T2^2 + 
     9960*T1*T2^2 - 9946*T1^2*T2^2 - 6526*T1^3*T2^2 + 20830*T1^4*T2^2 - 
     19846*T1^5*T2^2 + 4814*T1^6*T2^2 + 2760*T1^7*T2^2 - 1592*T1^8*T2^2 + 
     3832*T2^3 - 7584*T1*T2^3 - 6526*T1^2*T2^3 + 36224*T1^3*T2^3 - 
     37124*T1^4*T2^3 + 10216*T1^5*T2^3 + 19448*T1^6*T2^3 - 15706*T1^7*T2^3 + 
     2496*T1^8*T2^3 + 1096*T1^9*T2^3 - 3032*T2^4 + 576*T1*T2^4 + 
     20830*T1^2*T2^4 - 37124*T1^3*T2^4 + 748*T1^4*T2^4 + 43460*T1^5*T2^4 - 
     54092*T1^6*T2^4 + 15316*T1^7*T2^4 + 7630*T1^8*T2^4 - 4704*T1^9*T2^4 - 
     152*T1^10*T2^4 + 1352*T2^5 + 4760*T1*T2^5 - 19846*T1^2*T2^5 + 
     10216*T1^3*T2^5 + 43460*T1^4*T2^5 - 63817*T1^5*T2^5 + 31913*T1^6*T2^5 + 
     23435*T1^7*T2^5 - 26924*T1^8*T2^5 + 5894*T1^9*T2^5 + 1960*T1^10*T2^5 - 
     248*T1^11*T2^5 - 272*T2^6 - 3772*T1*T2^6 + 4814*T1^2*T2^6 + 
     19448*T1^3*T2^6 - 54092*T1^4*T2^6 + 31913*T1^5*T2^6 + 22272*T1^6*T2^6 - 
     54257*T1^7*T2^6 + 25078*T1^8*T2^6 + 4976*T1^9*T2^6 - 6666*T1^10*T2^6 + 
     708*T1^11*T2^6 + 112*T1^12*T2^6 + 1032*T1*T2^7 + 2760*T1^2*T2^7 - 
     15706*T1^3*T2^7 + 15316*T1^4*T2^7 + 23435*T1^5*T2^7 - 54257*T1^6*T2^7 + 
     41473*T1^7*T2^7 + 3410*T1^8*T2^7 - 21824*T1^9*T2^7 + 10034*T1^10*T2^7 - 
     40*T1^11*T2^7 - 568*T1^12*T2^7 - 1592*T1^2*T2^8 + 2496*T1^3*T2^8 + 
     7630*T1^4*T2^8 - 26924*T1^5*T2^8 + 25078*T1^6*T2^8 + 3410*T1^7*T2^8 - 
     29762*T1^8*T2^8 + 25516*T1^9*T2^8 - 5570*T1^10*T2^8 - 2784*T1^11*T2^8 + 
     1288*T1^12*T2^8 + 1096*T1^3*T2^9 - 4704*T1^4*T2^9 + 5894*T1^5*T2^9 + 
     4976*T1^6*T2^9 - 21824*T1^7*T2^9 + 25516*T1^8*T2^9 - 11800*T1^9*T2^9 - 
     3286*T1^10*T2^9 + 5376*T1^11*T2^9 - 1640*T1^12*T2^9 - 152*T1^4*T2^10 + 
     1960*T1^5*T2^10 - 6666*T1^6*T2^10 + 10034*T1^7*T2^10 - 5570*T1^8*T2^10 - 
     3286*T1^9*T2^10 + 8094*T1^10*T2^10 - 5240*T1^11*T2^10 + 
     1288*T1^12*T2^10 - 248*T1^5*T2^11 + 708*T1^6*T2^11 - 40*T1^7*T2^11 - 
     2784*T1^8*T2^11 + 5376*T1^9*T2^11 - 5240*T1^10*T2^11 + 
     2628*T1^11*T2^11 - 568*T1^12*T2^11 + 112*T1^6*T2^12 - 568*T1^7*T2^12 + 
     1288*T1^8*T2^12 - 1640*T1^9*T2^12 + 1288*T1^10*T2^12 - 568*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1011] -> 
  {-(((-1 + 2*T - 3*T^2 + 2*T^3 - 2*T^4 + T^5)*(-1 + 2*T - 2*T^2 + 3*T^3 - 
       2*T^4 + T^5))/T^5), -((-5 + 20*T1 - 45*T1^2 + 75*T1^3 - 100*T1^4 + 
      115*T1^5 - 100*T1^6 + 75*T1^7 - 45*T1^8 + 20*T1^9 - 5*T1^10 + 20*T2 - 
      64*T1*T2 + 116*T1^2*T2 - 156*T1^3*T2 + 160*T1^4*T2 - 140*T1^5*T2 + 
      32*T1^6*T2 + 20*T1^7*T2 - 60*T1^8*T2 + 64*T1^9*T2 - 44*T1^10*T2 + 
      16*T1^11*T2 - 45*T2^2 + 116*T1*T2^2 - 175*T1^2*T2^2 + 204*T1^3*T2^2 - 
      179*T1^4*T2^2 + 155*T1^5*T2^2 + 37*T1^6*T2^2 + 11*T1^7*T2^2 + 
      19*T1^8*T2^2 + 6*T1^9*T2^2 - 31*T1^10*T2^2 + 44*T1^11*T2^2 - 
      27*T1^12*T2^2 + 75*T2^3 - 156*T1*T2^3 + 204*T1^2*T2^3 - 225*T1^3*T2^3 + 
      190*T1^4*T2^3 - 193*T1^5*T2^3 - 102*T1^6*T2^3 - 129*T1^7*T2^3 - 
      13*T1^8*T2^3 - 26*T1^9*T2^3 + 27*T1^10*T2^3 - 21*T1^11*T2^3 - 
      12*T1^12*T2^3 + 30*T1^13*T2^3 - 100*T2^4 + 160*T1*T2^4 - 
      179*T1^2*T2^4 + 190*T1^3*T2^4 - 143*T1^4*T2^4 + 161*T1^5*T2^4 + 
      257*T1^6*T2^4 + 215*T1^7*T2^4 + 177*T1^8*T2^4 - 39*T1^9*T2^4 + 
      57*T1^10*T2^4 - 50*T1^11*T2^4 + 61*T1^12*T2^4 - 40*T1^13*T2^4 - 
      20*T1^14*T2^4 + 115*T2^5 - 140*T1*T2^5 + 155*T1^2*T2^5 - 
      193*T1^3*T2^5 + 161*T1^4*T2^5 - 202*T1^5*T2^5 - 291*T1^6*T2^5 - 
      447*T1^7*T2^5 - 282*T1^8*T2^5 - 96*T1^9*T2^5 + 38*T1^10*T2^5 - 
      54*T1^11*T2^5 + 47*T1^12*T2^5 - 55*T1^13*T2^5 + 80*T1^14*T2^5 - 
      100*T2^6 + 32*T1*T2^6 + 37*T1^2*T2^6 - 102*T1^3*T2^6 + 257*T1^4*T2^6 - 
      291*T1^5*T2^6 + 757*T1^6*T2^6 + 275*T1^7*T2^6 + 685*T1^8*T2^6 + 
      123*T1^9*T2^6 + 5*T1^10*T2^6 - 19*T1^11*T2^6 + 17*T1^12*T2^6 - 
      30*T1^13*T2^6 + 5*T1^14*T2^6 - 80*T1^15*T2^6 + 20*T1^16*T2^6 + 
      75*T2^7 + 20*T1*T2^7 + 11*T1^2*T2^7 - 129*T1^3*T2^7 + 215*T1^4*T2^7 - 
      447*T1^5*T2^7 + 275*T1^6*T2^7 - 1302*T1^7*T2^7 - 124*T1^8*T2^7 - 
      724*T1^9*T2^7 + 150*T1^10*T2^7 + 71*T1^11*T2^7 + 4*T1^12*T2^7 + 
      26*T1^13*T2^7 + 30*T1^14*T2^7 + 45*T1^15*T2^7 + 40*T1^16*T2^7 - 
      30*T1^17*T2^7 - 45*T2^8 - 60*T1*T2^8 + 19*T1^2*T2^8 - 13*T1^3*T2^8 + 
      177*T1^4*T2^8 - 282*T1^5*T2^8 + 685*T1^6*T2^8 - 124*T1^7*T2^8 + 
      1548*T1^8*T2^8 - 208*T1^9*T2^8 + 564*T1^10*T2^8 - 454*T1^11*T2^8 - 
      65*T1^12*T2^8 - 18*T1^13*T2^8 - 63*T1^14*T2^8 - 43*T1^15*T2^8 - 
      53*T1^16*T2^8 + 12*T1^17*T2^8 + 27*T1^18*T2^8 + 20*T2^9 + 64*T1*T2^9 + 
      6*T1^2*T2^9 - 26*T1^3*T2^9 - 39*T1^4*T2^9 - 96*T1^5*T2^9 + 
      123*T1^6*T2^9 - 724*T1^7*T2^9 - 208*T1^8*T2^9 - 1061*T1^9*T2^9 + 
      323*T1^10*T2^9 + 416*T1^12*T2^9 + 119*T1^13*T2^9 + 17*T1^14*T2^9 + 
      86*T1^15*T2^9 + 46*T1^16*T2^9 + 15*T1^17*T2^9 - 44*T1^18*T2^9 - 
      16*T1^19*T2^9 - 5*T2^10 - 44*T1*T2^10 - 31*T1^2*T2^10 + 27*T1^3*T2^10 + 
      57*T1^4*T2^10 + 38*T1^5*T2^10 + 5*T1^6*T2^10 + 150*T1^7*T2^10 + 
      564*T1^8*T2^10 + 323*T1^9*T2^10 + 324*T1^10*T2^10 - 539*T1^11*T2^10 - 
      332*T1^12*T2^10 - 318*T1^13*T2^10 - 119*T1^14*T2^10 - 22*T1^15*T2^10 - 
      89*T1^16*T2^10 - 15*T1^17*T2^10 + 33*T1^18*T2^10 + 44*T1^19*T2^10 + 
      5*T1^20*T2^10 + 16*T1*T2^11 + 44*T1^2*T2^11 - 21*T1^3*T2^11 - 
      50*T1^4*T2^11 - 54*T1^5*T2^11 - 19*T1^6*T2^11 + 71*T1^7*T2^11 - 
      454*T1^8*T2^11 - 539*T1^10*T2^11 + 845*T1^11*T2^11 + 208*T1^12*T2^11 + 
      686*T1^13*T2^11 + 67*T1^14*T2^11 + 94*T1^15*T2^11 + 71*T1^16*T2^11 + 
      22*T1^17*T2^11 - 12*T1^18*T2^11 - 64*T1^19*T2^11 - 20*T1^20*T2^11 - 
      27*T1^2*T2^12 - 12*T1^3*T2^12 + 61*T1^4*T2^12 + 47*T1^5*T2^12 + 
      17*T1^6*T2^12 + 4*T1^7*T2^12 - 65*T1^8*T2^12 + 416*T1^9*T2^12 - 
      332*T1^10*T2^12 + 208*T1^11*T2^12 - 1316*T1^12*T2^12 + 86*T1^13*T2^12 - 
      815*T1^14*T2^12 + 268*T1^15*T2^12 - 223*T1^16*T2^12 + 17*T1^17*T2^12 - 
      11*T1^18*T2^12 + 60*T1^19*T2^12 + 45*T1^20*T2^12 + 30*T1^3*T2^13 - 
      40*T1^4*T2^13 - 55*T1^5*T2^13 - 30*T1^6*T2^13 + 26*T1^7*T2^13 - 
      18*T1^8*T2^13 + 119*T1^9*T2^13 - 318*T1^10*T2^13 + 686*T1^11*T2^13 + 
      86*T1^12*T2^13 + 1134*T1^13*T2^13 - 85*T1^14*T2^13 + 433*T1^15*T2^13 - 
      163*T1^16*T2^13 + 129*T1^17*T2^13 - 21*T1^18*T2^13 - 20*T1^19*T2^13 - 
      75*T1^20*T2^13 - 20*T1^4*T2^14 + 80*T1^5*T2^14 + 5*T1^6*T2^14 + 
      30*T1^7*T2^14 - 63*T1^8*T2^14 + 17*T1^9*T2^14 - 119*T1^10*T2^14 + 
      67*T1^11*T2^14 - 815*T1^12*T2^14 - 85*T1^13*T2^14 - 871*T1^14*T2^14 + 
      289*T1^15*T2^14 - 303*T1^16*T2^14 + 102*T1^17*T2^14 - 27*T1^18*T2^14 - 
      32*T1^19*T2^14 + 100*T1^20*T2^14 - 80*T1^6*T2^15 + 45*T1^7*T2^15 - 
      43*T1^8*T2^15 + 86*T1^9*T2^15 - 22*T1^10*T2^15 + 94*T1^11*T2^15 + 
      268*T1^12*T2^15 + 433*T1^13*T2^15 + 289*T1^14*T2^15 + 218*T1^15*T2^15 - 
      129*T1^16*T2^15 + 197*T1^17*T2^15 - 165*T1^18*T2^15 + 140*T1^19*T2^15 - 
      115*T1^20*T2^15 + 20*T1^6*T2^16 + 40*T1^7*T2^16 - 53*T1^8*T2^16 + 
      46*T1^9*T2^16 - 89*T1^10*T2^16 + 71*T1^11*T2^16 - 223*T1^12*T2^16 - 
      163*T1^13*T2^16 - 303*T1^14*T2^16 - 129*T1^15*T2^16 + 111*T1^16*T2^16 - 
      194*T1^17*T2^16 + 187*T1^18*T2^16 - 160*T1^19*T2^16 + 100*T1^20*T2^16 - 
      30*T1^7*T2^17 + 12*T1^8*T2^17 + 15*T1^9*T2^17 - 15*T1^10*T2^17 + 
      22*T1^11*T2^17 + 17*T1^12*T2^17 + 129*T1^13*T2^17 + 102*T1^14*T2^17 + 
      197*T1^15*T2^17 - 194*T1^16*T2^17 + 237*T1^17*T2^17 - 210*T1^18*T2^17 + 
      156*T1^19*T2^17 - 75*T1^20*T2^17 + 27*T1^8*T2^18 - 44*T1^9*T2^18 + 
      33*T1^10*T2^18 - 12*T1^11*T2^18 - 11*T1^12*T2^18 - 21*T1^13*T2^18 - 
      27*T1^14*T2^18 - 165*T1^15*T2^18 + 187*T1^16*T2^18 - 210*T1^17*T2^18 + 
      177*T1^18*T2^18 - 116*T1^19*T2^18 + 45*T1^20*T2^18 - 16*T1^9*T2^19 + 
      44*T1^10*T2^19 - 64*T1^11*T2^19 + 60*T1^12*T2^19 - 20*T1^13*T2^19 - 
      32*T1^14*T2^19 + 140*T1^15*T2^19 - 160*T1^16*T2^19 + 156*T1^17*T2^19 - 
      116*T1^18*T2^19 + 64*T1^19*T2^19 - 20*T1^20*T2^19 + 5*T1^10*T2^20 - 
      20*T1^11*T2^20 + 45*T1^12*T2^20 - 75*T1^13*T2^20 + 100*T1^14*T2^20 - 
      115*T1^15*T2^20 + 100*T1^16*T2^20 - 75*T1^17*T2^20 + 45*T1^18*T2^20 - 
      20*T1^19*T2^20 + 5*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1012] -> 
  {-((2 - 9*T + 21*T^2 - 32*T^3 + 35*T^4 - 32*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-39 + 176*T1 - 411*T1^2 + 626*T1^3 - 685*T1^4 + 626*T1^5 - 
      411*T1^6 + 176*T1^7 - 39*T1^8 + 176*T2 - 654*T1*T2 + 1222*T1^2*T2 - 
      1348*T1^3*T2 + 842*T1^4*T2 - 364*T1^5*T2 - 394*T1^6*T2 + 682*T1^7*T2 - 
      456*T1^8*T2 + 140*T1^9*T2 - 411*T2^2 + 1222*T1*T2^2 - 1706*T1^2*T2^2 + 
      973*T1^3*T2^2 + 486*T1^4*T2^2 - 760*T1^5*T2^2 + 1662*T1^6*T2^2 - 
      959*T1^7*T2^2 - 110*T1^8*T2^2 + 466*T1^9*T2^2 - 243*T1^10*T2^2 + 
      626*T2^3 - 1348*T1*T2^3 + 973*T1^2*T2^3 + 975*T1^3*T2^3 - 
      2461*T1^4*T2^3 + 951*T1^5*T2^3 - 1536*T1^6*T2^3 - 892*T1^7*T2^3 + 
      1833*T1^8*T2^3 - 980*T1^9*T2^3 + 2*T1^10*T2^3 + 242*T1^11*T2^3 - 
      685*T2^4 + 842*T1*T2^4 + 486*T1^2*T2^4 - 2461*T1^3*T2^4 + 
      1943*T1^4*T2^4 + 1930*T1^5*T2^4 - 597*T1^6*T2^4 + 3554*T1^7*T2^4 - 
      2065*T1^8*T2^4 - 477*T1^9*T2^4 + 1182*T1^10*T2^4 - 526*T1^11*T2^4 - 
      125*T1^12*T2^4 + 626*T2^5 - 364*T1*T2^5 - 760*T1^2*T2^5 + 
      951*T1^3*T2^5 + 1930*T1^4*T2^5 - 5647*T1^5*T2^5 + 1319*T1^6*T2^5 - 
      3220*T1^7*T2^5 - 731*T1^8*T2^5 + 2700*T1^9*T2^5 - 1262*T1^10*T2^5 - 
      319*T1^11*T2^5 + 626*T1^12*T2^5 - 14*T1^13*T2^5 - 411*T2^6 - 
      394*T1*T2^6 + 1662*T1^2*T2^6 - 1536*T1^3*T2^6 - 597*T1^4*T2^6 + 
      1319*T1^5*T2^6 + 4759*T1^6*T2^6 - 1461*T1^7*T2^6 + 3631*T1^8*T2^6 - 
      2539*T1^9*T2^6 - 711*T1^10*T2^6 + 1362*T1^11*T2^6 - 474*T1^12*T2^6 - 
      358*T1^13*T2^6 + 93*T1^14*T2^6 + 176*T2^7 + 682*T1*T2^7 - 
      959*T1^2*T2^7 - 892*T1^3*T2^7 + 3554*T1^4*T2^7 - 3220*T1^5*T2^7 - 
      1461*T1^6*T2^7 - 3293*T1^7*T2^7 + 1551*T1^8*T2^7 - 1321*T1^9*T2^7 + 
      2681*T1^10*T2^7 - 632*T1^11*T2^7 - 801*T1^12*T2^7 + 868*T1^13*T2^7 - 
      74*T1^14*T2^7 - 76*T1^15*T2^7 - 39*T2^8 - 456*T1*T2^8 - 110*T1^2*T2^8 + 
      1833*T1^3*T2^8 - 2065*T1^4*T2^8 - 731*T1^5*T2^8 + 3631*T1^6*T2^8 + 
      1551*T1^7*T2^8 + 96*T1^8*T2^8 - 1403*T1^9*T2^8 - 141*T1^10*T2^8 - 
      2281*T1^11*T2^8 + 2115*T1^12*T2^8 - 765*T1^13*T2^8 - 284*T1^14*T2^8 + 
      228*T1^15*T2^8 + 25*T1^16*T2^8 + 140*T1*T2^9 + 466*T1^2*T2^9 - 
      980*T1^3*T2^9 - 477*T1^4*T2^9 + 2700*T1^5*T2^9 - 2539*T1^6*T2^9 - 
      1321*T1^7*T2^9 - 1403*T1^8*T2^9 + 3441*T1^9*T2^9 - 1181*T1^10*T2^9 + 
      3362*T1^11*T2^9 - 1486*T1^12*T2^9 - 386*T1^13*T2^9 + 847*T1^14*T2^9 - 
      290*T1^15*T2^9 - 112*T1^16*T2^9 - 243*T1^2*T2^10 + 2*T1^3*T2^10 + 
      1182*T1^4*T2^10 - 1262*T1^5*T2^10 - 711*T1^6*T2^10 + 2681*T1^7*T2^10 - 
      141*T1^8*T2^10 - 1181*T1^9*T2^10 - 1269*T1^10*T2^10 - 
      1177*T1^11*T2^10 - 825*T1^12*T2^10 + 1636*T1^13*T2^10 - 
      954*T1^14*T2^10 + 38*T1^15*T2^10 + 261*T1^16*T2^10 + 242*T1^3*T2^11 - 
      526*T1^4*T2^11 - 319*T1^5*T2^11 + 1362*T1^6*T2^11 - 632*T1^7*T2^11 - 
      2281*T1^8*T2^11 + 3362*T1^9*T2^11 - 1177*T1^10*T2^11 + 
      2635*T1^11*T2^11 + 138*T1^12*T2^11 - 851*T1^13*T2^11 + 
      122*T1^14*T2^11 + 464*T1^15*T2^11 - 398*T1^16*T2^11 - 125*T1^4*T2^12 + 
      626*T1^5*T2^12 - 474*T1^6*T2^12 - 801*T1^7*T2^12 + 2115*T1^8*T2^12 - 
      1486*T1^9*T2^12 - 825*T1^10*T2^12 + 138*T1^11*T2^12 - 
      1893*T1^12*T2^12 + 1183*T1^13*T2^12 + 222*T1^14*T2^12 - 
      742*T1^15*T2^12 + 435*T1^16*T2^12 - 14*T1^5*T2^13 - 358*T1^6*T2^13 + 
      868*T1^7*T2^13 - 765*T1^8*T2^13 - 386*T1^9*T2^13 + 1636*T1^10*T2^13 - 
      851*T1^11*T2^13 + 1183*T1^12*T2^13 + 93*T1^13*T2^13 - 
      1085*T1^14*T2^13 + 992*T1^15*T2^13 - 398*T1^16*T2^13 + 93*T1^6*T2^14 - 
      74*T1^7*T2^14 - 284*T1^8*T2^14 + 847*T1^9*T2^14 - 954*T1^10*T2^14 + 
      122*T1^11*T2^14 + 222*T1^12*T2^14 - 1085*T1^13*T2^14 + 
      1312*T1^14*T2^14 - 830*T1^15*T2^14 + 261*T1^16*T2^14 - 76*T1^7*T2^15 + 
      228*T1^8*T2^15 - 290*T1^9*T2^15 + 38*T1^10*T2^15 + 464*T1^11*T2^15 - 
      742*T1^12*T2^15 + 992*T1^13*T2^15 - 830*T1^14*T2^15 + 426*T1^15*T2^15 - 
      112*T1^16*T2^15 + 25*T1^8*T2^16 - 112*T1^9*T2^16 + 261*T1^10*T2^16 - 
      398*T1^11*T2^16 + 435*T1^12*T2^16 - 398*T1^13*T2^16 + 261*T1^14*T2^16 - 
      112*T1^15*T2^16 + 25*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1013] -> 
  {(1 - 4*T + 9*T^2 - 15*T^3 + 20*T^4 - 21*T^5 + 20*T^6 - 15*T^7 + 9*T^8 - 
     4*T^9 + T^10)/T^5, (-6 + 24*T1 - 54*T1^2 + 90*T1^3 - 120*T1^4 + 
     126*T1^5 - 120*T1^6 + 90*T1^7 - 54*T1^8 + 24*T1^9 - 6*T1^10 + 24*T2 - 
     76*T1*T2 + 136*T1^2*T2 - 180*T1^3*T2 + 180*T1^4*T2 - 104*T1^5*T2 + 
     60*T1^6*T2 + 40*T1^7*T2 - 84*T1^8*T2 + 84*T1^9*T2 - 56*T1^10*T2 + 
     20*T1^11*T2 - 54*T2^2 + 136*T1*T2^2 - 201*T1^2*T2^2 + 231*T1^3*T2^2 - 
     198*T1^4*T2^2 + 63*T1^5*T2^2 - 105*T1^6*T2^2 - 45*T1^7*T2^2 + 
     33*T1^9*T2^2 - 57*T1^10*T2^2 + 64*T1^11*T2^2 - 36*T1^12*T2^2 + 90*T2^3 - 
     180*T1*T2^3 + 231*T1^2*T2^3 - 255*T1^3*T2^3 + 206*T1^4*T2^3 - 
     27*T1^5*T2^3 + 211*T1^6*T2^3 + 112*T1^7*T2^3 + 63*T1^8*T2^3 - 
     10*T1^9*T2^3 - 3*T1^10*T2^3 + 6*T1^11*T2^3 - 36*T1^12*T2^3 + 
     45*T1^13*T2^3 - 120*T2^4 + 180*T1*T2^4 - 198*T1^2*T2^4 + 206*T1^3*T2^4 - 
     114*T1^4*T2^4 - 122*T1^5*T2^4 - 209*T1^6*T2^4 - 388*T1^7*T2^4 - 
     49*T1^8*T2^4 - 162*T1^9*T2^4 + 86*T1^10*T2^4 - 34*T1^11*T2^4 + 
     42*T1^12*T2^4 - 20*T1^13*T2^4 - 40*T1^14*T2^4 + 126*T2^5 - 104*T1*T2^5 + 
     63*T1^2*T2^5 - 27*T1^3*T2^5 - 122*T1^4*T2^5 + 336*T1^5*T2^5 + 
     185*T1^6*T2^5 + 620*T1^7*T2^5 + 275*T1^8*T2^5 + 140*T1^9*T2^5 + 
     126*T1^10*T2^5 - 137*T1^11*T2^5 + 63*T1^12*T2^5 - 57*T1^13*T2^5 + 
     76*T1^14*T2^5 + 21*T1^15*T2^5 - 120*T2^6 + 60*T1*T2^6 - 105*T1^2*T2^6 + 
     211*T1^3*T2^6 - 209*T1^4*T2^6 + 185*T1^5*T2^6 - 792*T1^6*T2^6 - 
     265*T1^7*T2^6 - 880*T1^8*T2^6 - 49*T1^9*T2^6 - 264*T1^10*T2^6 + 
     89*T1^11*T2^6 + 31*T1^12*T2^6 - 5*T1^13*T2^6 - 9*T1^14*T2^6 - 
     84*T1^15*T2^6 + 90*T2^7 + 40*T1*T2^7 - 45*T1^2*T2^7 + 112*T1^3*T2^7 - 
     388*T1^4*T2^7 + 620*T1^5*T2^7 - 265*T1^6*T2^7 + 1378*T1^7*T2^7 + 
     148*T1^8*T2^7 + 838*T1^9*T2^7 - 32*T1^10*T2^7 + 27*T1^11*T2^7 - 
     3*T1^12*T2^7 - 91*T1^13*T2^7 + 55*T1^14*T2^7 + 43*T1^15*T2^7 + 
     60*T1^16*T2^7 - 15*T1^17*T2^7 - 54*T2^8 - 84*T1*T2^8 + 63*T1^3*T2^8 - 
     49*T1^4*T2^8 + 275*T1^5*T2^8 - 880*T1^6*T2^8 + 148*T1^7*T2^8 - 
     1742*T1^8*T2^8 + 404*T1^9*T2^8 - 986*T1^10*T2^8 + 598*T1^11*T2^8 - 
     250*T1^12*T2^8 + 203*T1^13*T2^8 - 49*T1^14*T2^8 - 27*T1^15*T2^8 - 
     72*T1^16*T2^8 - 12*T1^17*T2^8 + 18*T1^18*T2^8 + 24*T2^9 + 84*T1*T2^9 + 
     33*T1^2*T2^9 - 10*T1^3*T2^9 - 162*T1^4*T2^9 + 140*T1^5*T2^9 - 
     49*T1^6*T2^9 + 838*T1^7*T2^9 + 404*T1^8*T2^9 + 963*T1^9*T2^9 - 
     213*T1^10*T2^9 + 212*T1^11*T2^9 - 332*T1^12*T2^9 - 37*T1^13*T2^9 - 
     19*T1^14*T2^9 + 3*T1^15*T2^9 + 62*T1^16*T2^9 + 42*T1^17*T2^9 - 
     24*T1^18*T2^9 - 12*T1^19*T2^9 - 6*T2^10 - 56*T1*T2^10 - 57*T1^2*T2^10 - 
     3*T1^3*T2^10 + 86*T1^4*T2^10 + 126*T1^5*T2^10 - 264*T1^6*T2^10 - 
     32*T1^7*T2^10 - 986*T1^8*T2^10 - 213*T1^9*T2^10 - 480*T1^10*T2^10 + 
     525*T1^11*T2^10 - 82*T1^12*T2^10 + 472*T1^13*T2^10 - 132*T1^14*T2^10 + 
     86*T1^15*T2^10 - 60*T1^16*T2^10 - 45*T1^17*T2^10 + 7*T1^18*T2^10 + 
     32*T1^19*T2^10 + 4*T1^20*T2^10 + 20*T1*T2^11 + 64*T1^2*T2^11 + 
     6*T1^3*T2^11 - 34*T1^4*T2^11 - 137*T1^5*T2^11 + 89*T1^6*T2^11 + 
     27*T1^7*T2^11 + 598*T1^8*T2^11 + 212*T1^9*T2^11 + 525*T1^10*T2^11 - 
     651*T1^11*T2^11 + 20*T1^12*T2^11 - 572*T1^13*T2^11 + 39*T1^14*T2^11 - 
     70*T1^15*T2^11 + 28*T1^16*T2^11 + 38*T1^17*T2^11 + 15*T1^18*T2^11 - 
     44*T1^19*T2^11 - 16*T1^20*T2^11 - 36*T1^2*T2^12 - 36*T1^3*T2^12 + 
     42*T1^4*T2^12 + 63*T1^5*T2^12 + 31*T1^6*T2^12 - 3*T1^7*T2^12 - 
     250*T1^8*T2^12 - 332*T1^9*T2^12 - 82*T1^10*T2^12 + 20*T1^11*T2^12 + 
     674*T1^12*T2^12 + 118*T1^13*T2^12 + 380*T1^14*T2^12 - 75*T1^15*T2^12 + 
     31*T1^16*T2^12 - 27*T1^17*T2^12 - 30*T1^18*T2^12 + 36*T1^19*T2^12 + 
     36*T1^20*T2^12 + 45*T1^3*T2^13 - 20*T1^4*T2^13 - 57*T1^5*T2^13 - 
     5*T1^6*T2^13 - 91*T1^7*T2^13 + 203*T1^8*T2^13 - 37*T1^9*T2^13 + 
     472*T1^10*T2^13 - 572*T1^11*T2^13 + 118*T1^12*T2^13 - 938*T1^13*T2^13 + 
     255*T1^14*T2^13 - 420*T1^15*T2^13 + 206*T1^16*T2^13 - 62*T1^17*T2^13 + 
     31*T1^18*T2^13 - 60*T1^20*T2^13 - 40*T1^4*T2^14 + 76*T1^5*T2^14 - 
     9*T1^6*T2^14 + 55*T1^7*T2^14 - 49*T1^8*T2^14 - 19*T1^9*T2^14 - 
     132*T1^10*T2^14 + 39*T1^11*T2^14 + 380*T1^12*T2^14 + 255*T1^13*T2^14 + 
     396*T1^14*T2^14 - 115*T1^15*T2^14 + 191*T1^16*T2^14 - 161*T1^17*T2^14 + 
     87*T1^18*T2^14 - 68*T1^19*T2^14 + 80*T1^20*T2^14 + 21*T1^5*T2^15 - 
     84*T1^6*T2^15 + 43*T1^7*T2^15 - 27*T1^8*T2^15 + 3*T1^9*T2^15 + 
     86*T1^10*T2^15 - 70*T1^11*T2^15 - 75*T1^12*T2^15 - 420*T1^13*T2^15 - 
     115*T1^14*T2^15 - 124*T1^15*T2^15 - 12*T1^16*T2^15 + 63*T1^17*T2^15 - 
     77*T1^18*T2^15 + 96*T1^19*T2^15 - 84*T1^20*T2^15 + 60*T1^7*T2^16 - 
     72*T1^8*T2^16 + 62*T1^9*T2^16 - 60*T1^10*T2^16 + 28*T1^11*T2^16 + 
     31*T1^12*T2^16 + 206*T1^13*T2^16 + 191*T1^14*T2^16 - 12*T1^15*T2^16 + 
     140*T1^16*T2^16 - 178*T1^17*T2^16 + 168*T1^18*T2^16 - 140*T1^19*T2^16 + 
     80*T1^20*T2^16 - 15*T1^7*T2^17 - 12*T1^8*T2^17 + 42*T1^9*T2^17 - 
     45*T1^10*T2^17 + 38*T1^11*T2^17 - 27*T1^12*T2^17 - 62*T1^13*T2^17 - 
     161*T1^14*T2^17 + 63*T1^15*T2^17 - 178*T1^16*T2^17 + 207*T1^17*T2^17 - 
     183*T1^18*T2^17 + 132*T1^19*T2^17 - 60*T1^20*T2^17 + 18*T1^8*T2^18 - 
     24*T1^9*T2^18 + 7*T1^10*T2^18 + 15*T1^11*T2^18 - 30*T1^12*T2^18 + 
     31*T1^13*T2^18 + 87*T1^14*T2^18 - 77*T1^15*T2^18 + 168*T1^16*T2^18 - 
     183*T1^17*T2^18 + 151*T1^18*T2^18 - 96*T1^19*T2^18 + 36*T1^20*T2^18 - 
     12*T1^9*T2^19 + 32*T1^10*T2^19 - 44*T1^11*T2^19 + 36*T1^12*T2^19 - 
     68*T1^14*T2^19 + 96*T1^15*T2^19 - 140*T1^16*T2^19 + 132*T1^17*T2^19 - 
     96*T1^18*T2^19 + 52*T1^19*T2^19 - 16*T1^20*T2^19 + 4*T1^10*T2^20 - 
     16*T1^11*T2^20 + 36*T1^12*T2^20 - 60*T1^13*T2^20 + 80*T1^14*T2^20 - 
     84*T1^15*T2^20 + 80*T1^16*T2^20 - 60*T1^17*T2^20 + 36*T1^18*T2^20 - 
     16*T1^19*T2^20 + 4*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1014] -> 
  {(2 - 9*T + 21*T^2 - 34*T^3 + 41*T^4 - 34*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-33 + 148*T1 - 345*T1^2 + 558*T1^3 - 673*T1^4 + 558*T1^5 - 
     345*T1^6 + 148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 
     1334*T1^3*T2 + 1128*T1^4*T2 - 222*T1^5*T2 - 344*T1^6*T2 + 506*T1^7*T2 - 
     354*T1^8*T2 + 112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1533*T1^2*T2^2 + 
     1384*T1^3*T2^2 - 418*T1^4*T2^2 - 1383*T1^5*T2^2 + 1262*T1^6*T2^2 - 
     716*T1^7*T2^2 + 63*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     558*T2^3 - 1334*T1*T2^3 + 1384*T1^2*T2^3 - 647*T1^3*T2^3 - 
     696*T1^4*T2^3 + 2546*T1^5*T2^3 - 409*T1^6*T2^3 - 501*T1^7*T2^3 + 
     1027*T1^8*T2^3 - 821*T1^9*T2^3 + 124*T1^10*T2^3 + 150*T1^11*T2^3 - 
     673*T2^4 + 1128*T1*T2^4 - 418*T1^2*T2^4 - 696*T1^3*T2^4 + 
     1848*T1^4*T2^4 - 3098*T1^5*T2^4 - 1184*T1^6*T2^4 + 942*T1^7*T2^4 - 
     660*T1^8*T2^4 - 220*T1^9*T2^4 + 962*T1^10*T2^4 - 600*T1^11*T2^4 - 
     17*T1^12*T2^4 + 558*T2^5 - 222*T1*T2^5 - 1383*T1^2*T2^5 + 
     2546*T1^3*T2^5 - 3098*T1^4*T2^5 + 3121*T1^5*T2^5 + 2727*T1^6*T2^5 - 
     138*T1^7*T2^5 - 719*T1^8*T2^5 + 1394*T1^9*T2^5 - 1287*T1^10*T2^5 + 
     12*T1^11*T2^5 + 624*T1^12*T2^5 - 122*T1^13*T2^5 - 345*T2^6 - 
     344*T1*T2^6 + 1262*T1^2*T2^6 - 409*T1^3*T2^6 - 1184*T1^4*T2^6 + 
     2727*T1^5*T2^6 - 7192*T1^6*T2^6 + 174*T1^7*T2^6 + 1436*T1^8*T2^6 - 
     1155*T1^9*T2^6 + 250*T1^10*T2^6 + 1229*T1^11*T2^6 - 1018*T1^12*T2^6 - 
     164*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     716*T1^2*T2^7 - 501*T1^3*T2^7 + 942*T1^4*T2^7 - 138*T1^5*T2^7 + 
     174*T1^6*T2^7 + 8007*T1^7*T2^7 - 5697*T1^8*T2^7 + 1118*T1^9*T2^7 + 
     693*T1^10*T2^7 - 1742*T1^11*T2^7 + 428*T1^12*T2^7 + 859*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 63*T1^2*T2^8 + 
     1027*T1^3*T2^8 - 660*T1^4*T2^8 - 719*T1^5*T2^8 + 1436*T1^6*T2^8 - 
     5697*T1^7*T2^8 - 192*T1^8*T2^8 + 5389*T1^9*T2^8 - 3420*T1^10*T2^8 + 
     2071*T1^11*T2^8 + 364*T1^12*T2^8 - 1107*T1^13*T2^8 - 111*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     821*T1^3*T2^9 - 220*T1^4*T2^9 + 1394*T1^5*T2^9 - 1155*T1^6*T2^9 + 
     1118*T1^7*T2^9 + 5389*T1^8*T2^9 - 8315*T1^9*T2^9 + 2062*T1^10*T2^9 - 
     324*T1^11*T2^9 - 1290*T1^12*T2^9 + 709*T1^13*T2^9 + 754*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 124*T1^3*T2^10 + 
     962*T1^4*T2^10 - 1287*T1^5*T2^10 + 250*T1^6*T2^10 + 693*T1^7*T2^10 - 
     3420*T1^8*T2^10 + 2062*T1^9*T2^10 + 5208*T1^10*T2^10 - 
     3189*T1^11*T2^10 + 1684*T1^12*T2^10 + 351*T1^13*T2^10 - 
     1318*T1^14*T2^10 + 304*T1^15*T2^10 + 327*T1^16*T2^10 + 150*T1^3*T2^11 - 
     600*T1^4*T2^11 + 12*T1^5*T2^11 + 1229*T1^6*T2^11 - 1742*T1^7*T2^11 + 
     2071*T1^8*T2^11 - 324*T1^9*T2^11 - 3189*T1^10*T2^11 - 1769*T1^11*T2^11 + 
     2750*T1^12*T2^11 - 2604*T1^13*T2^11 + 1407*T1^14*T2^11 + 
     246*T1^15*T2^11 - 530*T1^16*T2^11 - 17*T1^4*T2^12 + 624*T1^5*T2^12 - 
     1018*T1^6*T2^12 + 428*T1^7*T2^12 + 364*T1^8*T2^12 - 1290*T1^9*T2^12 + 
     1684*T1^10*T2^12 + 2750*T1^11*T2^12 - 2144*T1^12*T2^12 + 
     904*T1^13*T2^12 + 362*T1^14*T2^12 - 1104*T1^15*T2^12 + 639*T1^16*T2^12 - 
     122*T1^5*T2^13 - 164*T1^6*T2^13 + 859*T1^7*T2^13 - 1107*T1^8*T2^13 + 
     709*T1^9*T2^13 + 351*T1^10*T2^13 - 2604*T1^11*T2^13 + 904*T1^12*T2^13 + 
     567*T1^13*T2^13 - 1346*T1^14*T2^13 + 1294*T1^15*T2^13 - 
     530*T1^16*T2^13 + 159*T1^6*T2^14 - 250*T1^7*T2^14 - 111*T1^8*T2^14 + 
     754*T1^9*T2^14 - 1318*T1^10*T2^14 + 1407*T1^11*T2^14 + 362*T1^12*T2^14 - 
     1346*T1^13*T2^14 + 1485*T1^14*T2^14 - 1006*T1^15*T2^14 + 
     327*T1^16*T2^14 - 104*T1^7*T2^15 + 330*T1^8*T2^15 - 466*T1^9*T2^15 + 
     304*T1^10*T2^15 + 246*T1^11*T2^15 - 1104*T1^12*T2^15 + 
     1294*T1^13*T2^15 - 1006*T1^14*T2^15 + 528*T1^15*T2^15 - 
     140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 327*T1^10*T2^16 - 
     530*T1^11*T2^16 + 639*T1^12*T2^16 - 530*T1^13*T2^16 + 327*T1^14*T2^16 - 
     140*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1015] -> 
  {-((2 - 8*T + 17*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 17*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-25 + 100*T1 - 212*T1^2 + 312*T1^3 - 337*T1^4 + 312*T1^5 - 
      212*T1^6 + 100*T1^7 - 25*T1^8 + 100*T2 - 332*T1*T2 + 576*T1^2*T2 - 
      672*T1^3*T2 + 500*T1^4*T2 - 332*T1^5*T2 + 176*T1^7*T2 - 172*T1^8*T2 + 
      68*T1^9*T2 - 212*T2^2 + 576*T1*T2^2 - 788*T1^2*T2^2 + 665*T1^3*T2^2 - 
      168*T1^4*T2^2 + 16*T1^5*T2^2 + 512*T1^6*T2^2 - 491*T1^7*T2^2 + 
      232*T1^8*T2^2 + 32*T1^9*T2^2 - 76*T1^10*T2^2 + 312*T2^3 - 672*T1*T2^3 + 
      665*T1^2*T2^3 - 304*T1^3*T2^3 - 291*T1^4*T2^3 + 66*T1^5*T2^3 - 
      706*T1^6*T2^3 + 171*T1^7*T2^3 + 346*T1^8*T2^3 - 525*T1^9*T2^3 + 
      256*T1^10*T2^3 + 12*T1^11*T2^3 - 337*T2^4 + 500*T1*T2^4 - 
      168*T1^2*T2^4 - 291*T1^3*T2^4 + 691*T1^4*T2^4 + 21*T1^5*T2^4 + 
      777*T1^6*T2^4 + 349*T1^7*T2^4 - 709*T1^8*T2^4 + 309*T1^9*T2^4 + 
      304*T1^10*T2^4 - 428*T1^11*T2^4 + 95*T1^12*T2^4 + 312*T2^5 - 
      332*T1*T2^5 + 16*T1^2*T2^5 + 66*T1^3*T2^5 + 21*T1^4*T2^5 - 
      1007*T1^5*T2^5 - 125*T1^6*T2^5 - 1259*T1^7*T2^5 + 913*T1^8*T2^5 + 
      142*T1^9*T2^5 - 450*T1^10*T2^5 + 100*T1^11*T2^5 + 372*T1^12*T2^5 - 
      188*T1^13*T2^5 - 212*T2^6 + 512*T1^2*T2^6 - 706*T1^3*T2^6 + 
      777*T1^4*T2^6 - 125*T1^5*T2^6 + 1237*T1^6*T2^6 + 703*T1^7*T2^6 - 
      123*T1^8*T2^6 - 831*T1^9*T2^6 + 55*T1^10*T2^6 + 450*T1^11*T2^6 - 
      584*T1^12*T2^6 - 32*T1^13*T2^6 + 196*T1^14*T2^6 + 100*T2^7 + 
      176*T1*T2^7 - 491*T1^2*T2^7 + 171*T1^3*T2^7 + 349*T1^4*T2^7 - 
      1259*T1^5*T2^7 + 703*T1^6*T2^7 - 2148*T1^7*T2^7 + 422*T1^8*T2^7 + 
      884*T1^9*T2^7 + 731*T1^10*T2^7 - 600*T1^11*T2^7 + 261*T1^12*T2^7 + 
      495*T1^13*T2^7 - 288*T1^14*T2^7 - 124*T1^15*T2^7 - 25*T2^8 - 
      172*T1*T2^8 + 232*T1^2*T2^8 + 346*T1^3*T2^8 - 709*T1^4*T2^8 + 
      913*T1^5*T2^8 - 123*T1^6*T2^8 + 422*T1^7*T2^8 + 1020*T1^8*T2^8 - 
      1226*T1^9*T2^8 - 1529*T1^10*T2^8 + 331*T1^11*T2^8 + 207*T1^12*T2^8 - 
      674*T1^13*T2^8 + 16*T1^14*T2^8 + 340*T1^15*T2^8 + 39*T1^16*T2^8 + 
      68*T1*T2^9 + 32*T1^2*T2^9 - 525*T1^3*T2^9 + 309*T1^4*T2^9 + 
      142*T1^5*T2^9 - 831*T1^6*T2^9 + 884*T1^7*T2^9 - 1226*T1^8*T2^9 + 
      1344*T1^9*T2^9 + 1065*T1^10*T2^9 + 1159*T1^11*T2^9 - 807*T1^12*T2^9 + 
      399*T1^13*T2^9 + 461*T1^14*T2^9 - 432*T1^15*T2^9 - 156*T1^16*T2^9 - 
      76*T1^2*T2^10 + 256*T1^3*T2^10 + 304*T1^4*T2^10 - 450*T1^5*T2^10 + 
      55*T1^6*T2^10 + 731*T1^7*T2^10 - 1529*T1^8*T2^10 + 1065*T1^9*T2^10 - 
      2889*T1^10*T2^10 + 25*T1^11*T2^10 - 667*T1^12*T2^10 + 706*T1^13*T2^10 - 
      792*T1^14*T2^10 + 224*T1^15*T2^10 + 332*T1^16*T2^10 + 12*T1^3*T2^11 - 
      428*T1^4*T2^11 + 100*T1^5*T2^11 + 450*T1^6*T2^11 - 600*T1^7*T2^11 + 
      331*T1^8*T2^11 + 1159*T1^9*T2^11 + 25*T1^10*T2^11 + 2251*T1^11*T2^11 - 
      479*T1^12*T2^11 - 66*T1^13*T2^11 + 184*T1^14*T2^11 + 276*T1^15*T2^11 - 
      488*T1^16*T2^11 + 95*T1^4*T2^12 + 372*T1^5*T2^12 - 584*T1^6*T2^12 + 
      261*T1^7*T2^12 + 207*T1^8*T2^12 - 807*T1^9*T2^12 - 667*T1^10*T2^12 - 
      479*T1^11*T2^12 - 1193*T1^12*T2^12 + 861*T1^13*T2^12 - 
      112*T1^14*T2^12 - 556*T1^15*T2^12 + 527*T1^16*T2^12 - 188*T1^5*T2^13 - 
      32*T1^6*T2^13 + 495*T1^7*T2^13 - 674*T1^8*T2^13 + 399*T1^9*T2^13 + 
      706*T1^10*T2^13 - 66*T1^11*T2^13 + 861*T1^12*T2^13 - 24*T1^13*T2^13 - 
      695*T1^14*T2^13 + 896*T1^15*T2^13 - 488*T1^16*T2^13 + 196*T1^6*T2^14 - 
      288*T1^7*T2^14 + 16*T1^8*T2^14 + 461*T1^9*T2^14 - 792*T1^10*T2^14 + 
      184*T1^11*T2^14 - 112*T1^12*T2^14 - 695*T1^13*T2^14 + 
      1036*T1^14*T2^14 - 832*T1^15*T2^14 + 332*T1^16*T2^14 - 124*T1^7*T2^15 + 
      340*T1^8*T2^15 - 432*T1^9*T2^15 + 224*T1^10*T2^15 + 276*T1^11*T2^15 - 
      556*T1^12*T2^15 + 896*T1^13*T2^15 - 832*T1^14*T2^15 + 500*T1^15*T2^15 - 
      156*T1^16*T2^15 + 39*T1^8*T2^16 - 156*T1^9*T2^16 + 332*T1^10*T2^16 - 
      488*T1^11*T2^16 + 527*T1^12*T2^16 - 488*T1^13*T2^16 + 332*T1^14*T2^16 - 
      156*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1016] -> 
  {-((4 - 18*T + 40*T^2 - 53*T^3 + 40*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-192 + 868*T1 - 1928*T1^2 + 2552*T1^3 - 1928*T1^4 + 868*T1^5 - 
      192*T1^6 + 868*T2 - 3342*T1*T2 + 6084*T1^2*T2 - 5700*T1^3*T2 + 
      996*T1^4*T2 + 1908*T1^5*T2 - 1758*T1^6*T2 + 580*T1^7*T2 - 1928*T2^2 + 
      6084*T1*T2^2 - 8079*T1^2*T2^2 + 2083*T1^3*T2^2 + 9153*T1^4*T2^2 - 
      9117*T1^5*T2^2 + 3441*T1^6*T2^2 + 324*T1^7*T2^2 - 648*T1^8*T2^2 + 
      2552*T2^3 - 5700*T1*T2^3 + 2083*T1^2*T2^3 + 11454*T1^3*T2^3 - 
      22316*T1^4*T2^3 + 7756*T1^5*T2^3 + 5946*T1^6*T2^3 - 7517*T1^7*T2^3 + 
      2868*T1^8*T2^3 + 8*T1^9*T2^3 - 1928*T2^4 + 996*T1*T2^4 + 
      9153*T1^2*T2^4 - 22316*T1^3*T2^4 + 18158*T1^4*T2^4 + 14870*T1^5*T2^4 - 
      25582*T1^6*T2^4 + 12452*T1^7*T2^4 + 409*T1^8*T2^4 - 2892*T1^9*T2^4 + 
      632*T1^10*T2^4 + 868*T2^5 + 1908*T1*T2^5 - 9117*T1^2*T2^5 + 
      7756*T1^3*T2^5 + 14870*T1^4*T2^5 - 46462*T1^5*T2^5 + 33338*T1^6*T2^5 + 
      630*T1^7*T2^5 - 12924*T1^8*T2^5 + 6883*T1^9*T2^5 - 252*T1^10*T2^5 - 
      572*T1^11*T2^5 - 192*T2^6 - 1758*T1*T2^6 + 3441*T1^2*T2^6 + 
      5946*T1^3*T2^6 - 25582*T1^4*T2^6 + 33338*T1^5*T2^6 + 204*T1^6*T2^6 - 
      33734*T1^7*T2^6 + 24770*T1^8*T2^6 - 4902*T1^9*T2^6 - 3247*T1^10*T2^6 + 
      1698*T1^11*T2^6 + 192*T1^12*T2^6 + 580*T1*T2^7 + 324*T1^2*T2^7 - 
      7517*T1^3*T2^7 + 12452*T1^4*T2^7 + 630*T1^5*T2^7 - 33734*T1^6*T2^7 + 
      46066*T1^7*T2^7 - 13610*T1^8*T2^7 - 8228*T1^9*T2^7 + 8483*T1^10*T2^7 - 
      1836*T1^11*T2^7 - 860*T1^12*T2^7 - 648*T1^2*T2^8 + 2868*T1^3*T2^8 + 
      409*T1^4*T2^8 - 12924*T1^5*T2^8 + 24770*T1^6*T2^8 - 13610*T1^7*T2^8 - 
      18970*T1^8*T2^8 + 21844*T1^9*T2^8 - 8335*T1^10*T2^8 - 1020*T1^11*T2^8 + 
      1912*T1^12*T2^8 + 8*T1^3*T2^9 - 2892*T1^4*T2^9 + 6883*T1^5*T2^9 - 
      4902*T1^6*T2^9 - 8228*T1^7*T2^9 + 21844*T1^8*T2^9 - 10410*T1^9*T2^9 - 
      2717*T1^10*T2^9 + 5676*T1^11*T2^9 - 2536*T1^12*T2^9 + 632*T1^4*T2^10 - 
      252*T1^5*T2^10 - 3247*T1^6*T2^10 + 8483*T1^7*T2^10 - 8335*T1^8*T2^10 - 
      2717*T1^9*T2^10 + 8273*T1^10*T2^10 - 6012*T1^11*T2^10 + 
      1912*T1^12*T2^10 - 572*T1^5*T2^11 + 1698*T1^6*T2^11 - 1836*T1^7*T2^11 - 
      1020*T1^8*T2^11 + 5676*T1^9*T2^11 - 6012*T1^10*T2^11 + 
      3282*T1^11*T2^11 - 860*T1^12*T2^11 + 192*T1^6*T2^12 - 860*T1^7*T2^12 + 
      1912*T1^8*T2^12 - 2536*T1^9*T2^12 + 1912*T1^10*T2^12 - 
      860*T1^11*T2^12 + 192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1017] -> 
  {(2 - 8*T + 15*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 15*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-47 + 188*T1 - 352*T1^2 + 446*T1^3 - 493*T1^4 + 446*T1^5 - 
     352*T1^6 + 188*T1^7 - 47*T1^8 + 188*T2 - 596*T1*T2 + 784*T1^2*T2 - 
     616*T1^3*T2 + 492*T1^4*T2 - 148*T1^5*T2 - 72*T1^6*T2 + 416*T1^7*T2 - 
     436*T1^8*T2 + 156*T1^9*T2 - 352*T2^2 + 784*T1*T2^2 - 358*T1^2*T2^2 - 
     455*T1^3*T2^2 + 580*T1^4*T2^2 - 1096*T1^5*T2^2 + 940*T1^6*T2^2 - 
     1115*T1^7*T2^2 + 422*T1^8*T2^2 + 304*T1^9*T2^2 - 232*T1^10*T2^2 + 
     446*T2^3 - 616*T1*T2^3 - 455*T1^2*T2^3 + 1156*T1^3*T2^3 - 
     473*T1^4*T2^3 + 866*T1^5*T2^3 - 58*T1^6*T2^3 + 301*T1^7*T2^3 + 
     790*T1^8*T2^3 - 965*T1^9*T2^3 + 56*T1^10*T2^3 + 218*T1^11*T2^3 - 
     493*T2^4 + 492*T1*T2^4 + 580*T1^2*T2^4 - 473*T1^3*T2^4 - 821*T1^4*T2^4 + 
     19*T1^5*T2^4 - 915*T1^6*T2^4 - 5*T1^7*T2^4 - 973*T1^8*T2^4 + 
     287*T1^9*T2^4 + 668*T1^10*T2^4 - 244*T1^11*T2^4 - 157*T1^12*T2^4 + 
     446*T2^5 - 148*T1*T2^5 - 1096*T1^2*T2^5 + 866*T1^3*T2^5 + 19*T1^4*T2^5 + 
     1413*T1^5*T2^5 - 263*T1^6*T2^5 + 1103*T1^7*T2^5 + 477*T1^8*T2^5 + 
     58*T1^9*T2^5 - 234*T1^10*T2^5 - 484*T1^11*T2^5 + 364*T1^12*T2^5 + 
     66*T1^13*T2^5 - 352*T2^6 - 72*T1*T2^6 + 940*T1^2*T2^6 - 58*T1^3*T2^6 - 
     915*T1^4*T2^6 - 263*T1^5*T2^6 - 1457*T1^6*T2^6 + 737*T1^7*T2^6 - 
     2025*T1^8*T2^6 + 939*T1^9*T2^6 - 497*T1^10*T2^6 + 602*T1^11*T2^6 + 
     36*T1^12*T2^6 - 296*T1^13*T2^6 + 8*T1^14*T2^6 + 188*T2^7 + 416*T1*T2^7 - 
     1115*T1^2*T2^7 + 301*T1^3*T2^7 - 5*T1^4*T2^7 + 1103*T1^5*T2^7 + 
     737*T1^6*T2^7 + 142*T1^7*T2^7 + 572*T1^8*T2^7 + 428*T1^9*T2^7 - 
     591*T1^10*T2^7 + 208*T1^11*T2^7 - 529*T1^12*T2^7 + 295*T1^13*T2^7 + 
     112*T1^14*T2^7 - 36*T1^15*T2^7 - 47*T2^8 - 436*T1*T2^8 + 422*T1^2*T2^8 + 
     790*T1^3*T2^8 - 973*T1^4*T2^8 + 477*T1^5*T2^8 - 2025*T1^6*T2^8 + 
     572*T1^7*T2^8 - 516*T1^8*T2^8 - 260*T1^9*T2^8 + 317*T1^10*T2^8 + 
     219*T1^11*T2^8 + 127*T1^12*T2^8 + 186*T1^13*T2^8 - 370*T1^14*T2^8 + 
     76*T1^15*T2^8 + 17*T1^16*T2^8 + 156*T1*T2^9 + 304*T1^2*T2^9 - 
     965*T1^3*T2^9 + 287*T1^4*T2^9 + 58*T1^5*T2^9 + 939*T1^6*T2^9 + 
     428*T1^7*T2^9 - 260*T1^8*T2^9 + 170*T1^9*T2^9 + 119*T1^10*T2^9 - 
     755*T1^11*T2^9 + 271*T1^12*T2^9 - 543*T1^13*T2^9 + 445*T1^14*T2^9 - 
     68*T1^16*T2^9 - 232*T1^2*T2^10 + 56*T1^3*T2^10 + 668*T1^4*T2^10 - 
     234*T1^5*T2^10 - 497*T1^6*T2^10 - 591*T1^7*T2^10 + 317*T1^8*T2^10 + 
     119*T1^9*T2^10 - 251*T1^10*T2^10 + 611*T1^11*T2^10 - 79*T1^12*T2^10 + 
     426*T1^13*T2^10 - 236*T1^14*T2^10 - 168*T1^15*T2^10 + 128*T1^16*T2^10 + 
     218*T1^3*T2^11 - 244*T1^4*T2^11 - 484*T1^5*T2^11 + 602*T1^6*T2^11 + 
     208*T1^7*T2^11 + 219*T1^8*T2^11 - 755*T1^9*T2^11 + 611*T1^10*T2^11 - 
     717*T1^11*T2^11 + 247*T1^12*T2^11 - 498*T1^13*T2^11 + 128*T1^14*T2^11 + 
     268*T1^15*T2^11 - 162*T1^16*T2^11 - 157*T1^4*T2^12 + 364*T1^5*T2^12 + 
     36*T1^6*T2^12 - 529*T1^7*T2^12 + 127*T1^8*T2^12 + 271*T1^9*T2^12 - 
     79*T1^10*T2^12 + 247*T1^11*T2^12 - 25*T1^12*T2^12 + 231*T1^13*T2^12 + 
     124*T1^14*T2^12 - 372*T1^15*T2^12 + 179*T1^16*T2^12 + 66*T1^5*T2^13 - 
     296*T1^6*T2^13 + 295*T1^7*T2^13 + 186*T1^8*T2^13 - 543*T1^9*T2^13 + 
     426*T1^10*T2^13 - 498*T1^11*T2^13 + 231*T1^12*T2^13 - 180*T1^13*T2^13 - 
     215*T1^14*T2^13 + 376*T1^15*T2^13 - 162*T1^16*T2^13 + 8*T1^6*T2^14 + 
     112*T1^7*T2^14 - 370*T1^8*T2^14 + 445*T1^9*T2^14 - 236*T1^10*T2^14 + 
     128*T1^11*T2^14 + 124*T1^12*T2^14 - 215*T1^13*T2^14 + 410*T1^14*T2^14 - 
     368*T1^15*T2^14 + 128*T1^16*T2^14 - 36*T1^7*T2^15 + 76*T1^8*T2^15 - 
     168*T1^10*T2^15 + 268*T1^11*T2^15 - 372*T1^12*T2^15 + 376*T1^13*T2^15 - 
     368*T1^14*T2^15 + 236*T1^15*T2^15 - 68*T1^16*T2^15 + 17*T1^8*T2^16 - 
     68*T1^9*T2^16 + 128*T1^10*T2^16 - 162*T1^11*T2^16 + 179*T1^12*T2^16 - 
     162*T1^13*T2^16 + 128*T1^14*T2^16 - 68*T1^15*T2^16 + 17*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1018] -> 
  {(4 - 18*T + 36*T^2 - 43*T^3 + 36*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-256 + 1148*T1 - 2288*T1^2 + 2728*T1^3 - 2288*T1^4 + 1148*T1^5 - 
     256*T1^6 + 1148*T2 - 4290*T1*T2 + 6412*T1^2*T2 - 4568*T1^3*T2 + 
     1120*T1^4*T2 + 2524*T1^5*T2 - 2706*T1^6*T2 + 860*T1^7*T2 - 2288*T2^2 + 
     6412*T1*T2^2 - 4257*T1^2*T2^2 - 5175*T1^3*T2^2 + 10861*T1^4*T2^2 - 
     12375*T1^5*T2^2 + 4959*T1^6*T2^2 + 1228*T1^7*T2^2 - 1136*T1^8*T2^2 + 
     2728*T2^3 - 4568*T1*T2^3 - 5175*T1^2*T2^3 + 18078*T1^3*T2^3 - 
     15642*T1^4*T2^3 + 7686*T1^5*T2^3 + 7338*T1^6*T2^3 - 9495*T1^7*T2^3 + 
     2128*T1^8*T2^3 + 664*T1^9*T2^3 - 2288*T2^4 + 1120*T1*T2^4 + 
     10861*T1^2*T2^4 - 15642*T1^3*T2^4 - 832*T1^4*T2^4 + 12850*T1^5*T2^4 - 
     21100*T1^6*T2^4 + 9126*T1^7*T2^4 + 3733*T1^8*T2^4 - 3056*T1^9*T2^4 + 
     16*T1^10*T2^4 + 1148*T2^5 + 2524*T1*T2^5 - 12375*T1^2*T2^5 + 
     7686*T1^3*T2^5 + 12850*T1^4*T2^5 - 15750*T1^5*T2^5 + 9486*T1^6*T2^5 + 
     7666*T1^7*T2^5 - 12762*T1^8*T2^5 + 3465*T1^9*T2^5 + 1228*T1^10*T2^5 - 
     292*T1^11*T2^5 - 256*T2^6 - 2706*T1*T2^6 + 4959*T1^2*T2^6 + 
     7338*T1^3*T2^6 - 21100*T1^4*T2^6 + 9486*T1^5*T2^6 + 5964*T1^6*T2^6 - 
     15570*T1^7*T2^6 + 9572*T1^8*T2^6 + 3210*T1^9*T2^6 - 4545*T1^10*T2^6 + 
     750*T1^11*T2^6 + 128*T1^12*T2^6 + 860*T1*T2^7 + 1228*T1^2*T2^7 - 
     9495*T1^3*T2^7 + 9126*T1^4*T2^7 + 7666*T1^5*T2^7 - 15570*T1^6*T2^7 + 
     9666*T1^7*T2^7 + 2482*T1^8*T2^7 - 11322*T1^9*T2^7 + 6345*T1^10*T2^7 - 
     68*T1^11*T2^7 - 580*T1^12*T2^7 - 1136*T1^2*T2^8 + 2128*T1^3*T2^8 + 
     3733*T1^4*T2^8 - 12762*T1^5*T2^8 + 9572*T1^6*T2^8 + 2482*T1^7*T2^8 - 
     10696*T1^8*T2^8 + 12006*T1^9*T2^8 - 3395*T1^10*T2^8 - 2048*T1^11*T2^8 + 
     1168*T1^12*T2^8 + 664*T1^3*T2^9 - 3056*T1^4*T2^9 + 3465*T1^5*T2^9 + 
     3210*T1^6*T2^9 - 11322*T1^7*T2^9 + 12006*T1^8*T2^9 - 7530*T1^9*T2^9 - 
     855*T1^10*T2^9 + 3640*T1^11*T2^9 - 1400*T1^12*T2^9 + 16*T1^4*T2^10 + 
     1228*T1^5*T2^10 - 4545*T1^6*T2^10 + 6345*T1^7*T2^10 - 3395*T1^8*T2^10 - 
     855*T1^9*T2^10 + 4671*T1^10*T2^10 - 3956*T1^11*T2^10 + 
     1168*T1^12*T2^10 - 292*T1^5*T2^11 + 750*T1^6*T2^11 - 68*T1^7*T2^11 - 
     2048*T1^8*T2^11 + 3640*T1^9*T2^11 - 3956*T1^10*T2^11 + 
     2334*T1^11*T2^11 - 580*T1^12*T2^11 + 128*T1^6*T2^12 - 580*T1^7*T2^12 + 
     1168*T1^8*T2^12 - 1400*T1^9*T2^12 + 1168*T1^10*T2^12 - 580*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1019] -> {(1 - 5*T + 7*T^2 - 5*T^3 + T^4)^2/T^4, 
   (2*(1 - 5*T1 + 7*T1^2 - 5*T1^3 + T1^4)^2*(-2 + T1*T2)*(1 + T1*T2)*
     (-1 + 2*T1*T2)*(1 - 5*T2 + 7*T2^2 - 5*T2^3 + T2^4)^2*
     (1 - 5*T1*T2 + 7*T1^2*T2^2 - 5*T1^3*T2^3 + T1^4*T2^4))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 1020] -> 
  {-((1 - 9*T + 34*T^2 - 71*T^3 + 89*T^4 - 71*T^5 + 34*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 170*T1^2 + 355*T1^3 - 445*T1^4 + 355*T1^5 - 
      170*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1206*T1^2*T2 - 
      1971*T1^3*T2 + 1449*T1^4*T2 + 9*T1^5*T2 - 1026*T1^6*T2 + 819*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 170*T2^2 + 1206*T1*T2^2 - 2968*T1^2*T2^2 + 
      1987*T1^3*T2^2 + 4359*T1^4*T2^2 - 9462*T1^5*T2^2 + 8099*T1^6*T2^2 - 
      2229*T1^7*T2^2 - 724*T1^8*T2^2 + 594*T1^9*T2^2 - 102*T1^10*T2^2 + 
      355*T2^3 - 1971*T1*T2^3 + 1987*T1^2*T2^3 + 8193*T1^3*T2^3 - 
      25142*T1^4*T2^3 + 23272*T1^5*T2^3 - 3323*T1^6*T2^3 - 13886*T1^7*T2^3 + 
      10371*T1^8*T2^3 - 2195*T1^9*T2^3 - 360*T1^10*T2^3 + 142*T1^11*T2^3 - 
      445*T2^4 + 1449*T1*T2^4 + 4359*T1^2*T2^4 - 25142*T1^3*T2^4 + 
      35157*T1^4*T2^4 + 6794*T1^5*T2^4 - 53247*T1^6*T2^4 + 55012*T1^7*T2^4 - 
      12751*T1^8*T2^4 - 8244*T1^9*T2^4 + 4961*T1^10*T2^4 - 477*T1^11*T2^4 - 
      89*T1^12*T2^4 + 355*T2^5 + 9*T1*T2^5 - 9462*T1^2*T2^5 + 
      23272*T1^3*T2^5 + 6794*T1^4*T2^5 - 93984*T1^5*T2^5 + 112102*T1^6*T2^5 - 
      37088*T1^7*T2^5 - 50448*T1^8*T2^5 + 44413*T1^9*T2^5 - 9085*T1^10*T2^5 - 
      2319*T1^11*T2^5 + 801*T1^12*T2^5 - 170*T2^6 - 1026*T1*T2^6 + 
      8099*T1^2*T2^6 - 3323*T1^3*T2^6 - 53247*T1^4*T2^6 + 112102*T1^5*T2^6 - 
      25700*T1^6*T2^6 - 114422*T1^7*T2^6 + 155420*T1^8*T2^6 - 
      52678*T1^9*T2^6 - 16851*T1^10*T2^6 + 14629*T1^11*T2^6 - 
      1917*T1^12*T2^6 - 306*T1^13*T2^6 + 34*T1^14*T2^6 + 45*T2^7 + 
      819*T1*T2^7 - 2229*T1^2*T2^7 - 13886*T1^3*T2^7 + 55012*T1^4*T2^7 - 
      37088*T1^5*T2^7 - 114422*T1^6*T2^7 + 202330*T1^7*T2^7 - 
      113460*T1^8*T2^7 - 52625*T1^9*T2^7 + 80922*T1^10*T2^7 - 
      25003*T1^11*T2^7 - 2574*T1^12*T2^7 + 2157*T1^13*T2^7 - 144*T1^14*T2^7 - 
      18*T1^15*T2^7 - 5*T2^8 - 279*T1*T2^8 - 724*T1^2*T2^8 + 
      10371*T1^3*T2^8 - 12751*T1^4*T2^8 - 50448*T1^5*T2^8 + 
      155420*T1^6*T2^8 - 113460*T1^7*T2^8 - 60516*T1^8*T2^8 + 
      170328*T1^9*T2^8 - 96986*T1^10*T2^8 - 3360*T1^11*T2^8 + 
      19933*T1^12*T2^8 - 5207*T1^13*T2^8 - 202*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 594*T1^2*T2^9 - 2195*T1^3*T2^9 - 
      8244*T1^4*T2^9 + 44413*T1^5*T2^9 - 52678*T1^6*T2^9 - 52625*T1^7*T2^9 + 
      170328*T1^8*T2^9 - 145462*T1^9*T2^9 + 9172*T1^10*T2^9 + 
      65332*T1^11*T2^9 - 35602*T1^12*T2^9 + 3068*T1^13*T2^9 + 
      2191*T1^14*T2^9 - 369*T1^15*T2^9 - 27*T1^16*T2^9 - 102*T1^2*T2^10 - 
      360*T1^3*T2^10 + 4961*T1^4*T2^10 - 9085*T1^5*T2^10 - 16851*T1^6*T2^10 + 
      80922*T1^7*T2^10 - 96986*T1^8*T2^10 + 9172*T1^9*T2^10 + 
      84134*T1^10*T2^10 - 83858*T1^11*T2^10 + 19545*T1^12*T2^10 + 
      8867*T1^13*T2^10 - 5055*T1^14*T2^10 + 360*T1^15*T2^10 + 
      102*T1^16*T2^10 + 142*T1^3*T2^11 - 477*T1^4*T2^11 - 2319*T1^5*T2^11 + 
      14629*T1^6*T2^11 - 25003*T1^7*T2^11 - 3360*T1^8*T2^11 + 
      65332*T1^9*T2^11 - 83858*T1^10*T2^11 + 40176*T1^11*T2^11 + 
      12616*T1^12*T2^11 - 17728*T1^13*T2^11 + 4824*T1^14*T2^11 + 
      315*T1^15*T2^11 - 213*T1^16*T2^11 - 89*T1^4*T2^12 + 801*T1^5*T2^12 - 
      1917*T1^6*T2^12 - 2574*T1^7*T2^12 + 19933*T1^8*T2^12 - 
      35602*T1^9*T2^12 + 19545*T1^10*T2^12 + 12616*T1^11*T2^12 - 
      27975*T1^12*T2^12 + 14324*T1^13*T2^12 - 1315*T1^14*T2^12 - 
      1125*T1^15*T2^12 + 267*T1^16*T2^12 - 306*T1^6*T2^13 + 2157*T1^7*T2^13 - 
      5207*T1^8*T2^13 + 3068*T1^9*T2^13 + 8867*T1^10*T2^13 - 
      17728*T1^11*T2^13 + 14324*T1^12*T2^13 - 3029*T1^13*T2^13 - 
      2025*T1^14*T2^13 + 1305*T1^15*T2^13 - 213*T1^16*T2^13 + 34*T1^6*T2^14 - 
      144*T1^7*T2^14 - 202*T1^8*T2^14 + 2191*T1^9*T2^14 - 5055*T1^10*T2^14 + 
      4824*T1^11*T2^14 - 1315*T1^12*T2^14 - 2025*T1^13*T2^14 + 
      2042*T1^14*T2^14 - 756*T1^15*T2^14 + 102*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 369*T1^9*T2^15 + 360*T1^10*T2^15 + 315*T1^11*T2^15 - 
      1125*T1^12*T2^15 + 1305*T1^13*T2^15 - 756*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      102*T1^10*T2^16 - 213*T1^11*T2^16 + 267*T1^12*T2^16 - 213*T1^13*T2^16 + 
      102*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1021] -> 
  {-((1 - 9*T + 35*T^2 - 76*T^3 + 97*T^4 - 76*T^5 + 35*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 175*T1^2 + 380*T1^3 - 485*T1^4 + 380*T1^5 - 
      175*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1251*T1^2*T2 - 
      2160*T1^3*T2 + 1629*T1^4*T2 + 72*T1^5*T2 - 1161*T1^6*T2 + 855*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 175*T2^2 + 1251*T1*T2^2 - 3315*T1^2*T2^2 + 
      2906*T1^3*T2^2 + 3981*T1^4*T2^2 - 10161*T1^5*T2^2 + 8321*T1^6*T2^2 - 
      1784*T1^7*T2^2 - 935*T1^8*T2^2 + 621*T1^9*T2^2 - 105*T1^10*T2^2 + 
      380*T2^3 - 2160*T1*T2^3 + 2906*T1^2*T2^3 + 6893*T1^3*T2^3 - 
      27282*T1^4*T2^3 + 26898*T1^5*T2^3 - 2289*T1^6*T2^3 - 16485*T1^7*T2^3 + 
      10589*T1^8*T2^3 - 1924*T1^9*T2^3 - 423*T1^10*T2^3 + 152*T1^11*T2^3 - 
      485*T2^4 + 1629*T1*T2^4 + 3981*T1^2*T2^4 - 27282*T1^3*T2^4 + 
      44535*T1^4*T2^4 + 4192*T1^5*T2^4 - 65737*T1^6*T2^4 + 63012*T1^7*T2^4 - 
      9873*T1^8*T2^4 - 10258*T1^9*T2^4 + 5249*T1^10*T2^4 - 495*T1^11*T2^4 - 
      97*T1^12*T2^4 + 380*T2^5 + 72*T1*T2^5 - 10161*T1^2*T2^5 + 
      26898*T1^3*T2^5 + 4192*T1^4*T2^5 - 119579*T1^5*T2^5 + 
      149061*T1^6*T2^5 - 37130*T1^7*T2^5 - 72673*T1^8*T2^5 + 
      51955*T1^9*T2^5 - 9287*T1^10*T2^5 - 2550*T1^11*T2^5 + 873*T1^12*T2^5 - 
      175*T2^6 - 1161*T1*T2^6 + 8321*T1^2*T2^6 - 2289*T1^3*T2^6 - 
      65737*T1^4*T2^6 + 149061*T1^5*T2^6 - 25920*T1^6*T2^6 - 
      185804*T1^7*T2^6 + 218888*T1^8*T2^6 - 59173*T1^9*T2^6 - 
      22443*T1^10*T2^6 + 16401*T1^11*T2^6 - 2163*T1^12*T2^6 - 
      315*T1^13*T2^6 + 35*T1^14*T2^6 + 45*T2^7 + 855*T1*T2^7 - 
      1784*T1^2*T2^7 - 16485*T1^3*T2^7 + 63012*T1^4*T2^7 - 37130*T1^5*T2^7 - 
      185804*T1^6*T2^7 + 312102*T1^7*T2^7 - 146144*T1^8*T2^7 - 
      94322*T1^9*T2^7 + 104975*T1^10*T2^7 - 28979*T1^11*T2^7 - 
      2374*T1^12*T2^7 + 2206*T1^13*T2^7 - 153*T1^14*T2^7 - 18*T1^15*T2^7 - 
      5*T2^8 - 279*T1*T2^8 - 935*T1^2*T2^8 + 10589*T1^3*T2^8 - 
      9873*T1^4*T2^8 - 72673*T1^5*T2^8 + 218888*T1^6*T2^8 - 
      146144*T1^7*T2^8 - 124428*T1^8*T2^8 + 258232*T1^9*T2^8 - 
      121352*T1^10*T2^8 - 5771*T1^11*T2^8 + 21499*T1^12*T2^8 - 
      5557*T1^13*T2^8 - 129*T1^14*T2^8 + 135*T1^15*T2^8 + 3*T1^16*T2^8 + 
      36*T1*T2^9 + 621*T1^2*T2^9 - 1924*T1^3*T2^9 - 10258*T1^4*T2^9 + 
      51955*T1^5*T2^9 - 59173*T1^6*T2^9 - 94322*T1^7*T2^9 + 
      258232*T1^8*T2^9 - 200014*T1^9*T2^9 - 2840*T1^10*T2^9 + 
      82932*T1^11*T2^9 - 40036*T1^12*T2^9 + 3853*T1^13*T2^9 + 
      2066*T1^14*T2^9 - 387*T1^15*T2^9 - 27*T1^16*T2^9 - 105*T1^2*T2^10 - 
      423*T1^3*T2^10 + 5249*T1^4*T2^10 - 9287*T1^5*T2^10 - 22443*T1^6*T2^10 + 
      104975*T1^7*T2^10 - 121352*T1^8*T2^10 - 2840*T1^9*T2^10 + 
      123456*T1^10*T2^10 - 103259*T1^11*T2^10 + 20851*T1^12*T2^10 + 
      9403*T1^13*T2^10 - 5235*T1^14*T2^10 + 423*T1^15*T2^10 + 
      105*T1^16*T2^10 + 152*T1^3*T2^11 - 495*T1^4*T2^11 - 2550*T1^5*T2^11 + 
      16401*T1^6*T2^11 - 28979*T1^7*T2^11 - 5771*T1^8*T2^11 + 
      82932*T1^9*T2^11 - 103259*T1^10*T2^11 + 41135*T1^11*T2^11 + 
      18784*T1^12*T2^11 - 19784*T1^13*T2^11 + 5061*T1^14*T2^11 + 
      306*T1^15*T2^11 - 228*T1^16*T2^11 - 97*T1^4*T2^12 + 873*T1^5*T2^12 - 
      2163*T1^6*T2^12 - 2374*T1^7*T2^12 + 21499*T1^8*T2^12 - 
      40036*T1^9*T2^12 + 20851*T1^10*T2^12 + 18784*T1^11*T2^12 - 
      32909*T1^12*T2^12 + 14650*T1^13*T2^12 - 895*T1^14*T2^12 - 
      1251*T1^15*T2^12 + 291*T1^16*T2^12 - 315*T1^6*T2^13 + 2206*T1^7*T2^13 - 
      5557*T1^8*T2^13 + 3853*T1^9*T2^13 + 9403*T1^10*T2^13 - 
      19784*T1^11*T2^13 + 14650*T1^12*T2^13 - 1861*T1^13*T2^13 - 
      2624*T1^14*T2^13 + 1422*T1^15*T2^13 - 228*T1^16*T2^13 + 35*T1^6*T2^14 - 
      153*T1^7*T2^14 - 129*T1^8*T2^14 + 2066*T1^9*T2^14 - 5235*T1^10*T2^14 + 
      5061*T1^11*T2^14 - 895*T1^12*T2^14 - 2624*T1^13*T2^14 + 
      2251*T1^14*T2^14 - 783*T1^15*T2^14 + 105*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 387*T1^9*T2^15 + 423*T1^10*T2^15 + 306*T1^11*T2^15 - 
      1251*T1^12*T2^15 + 1422*T1^13*T2^15 - 783*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      105*T1^10*T2^16 - 228*T1^11*T2^16 + 291*T1^12*T2^16 - 228*T1^13*T2^16 + 
      105*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1022] -> 
  {(3 - 21*T + 58*T^2 - 79*T^3 + 58*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 780*T1 - 2160*T1^2 + 2943*T1^3 - 2160*T1^4 + 780*T1^5 - 111*T1^6 + 
     780*T2 - 4891*T1*T2 + 11023*T1^2*T2 - 9158*T1^3*T2 - 527*T1^4*T2 + 
     6046*T1^5*T2 - 3379*T1^6*T2 + 591*T1^7*T2 - 2160*T2^2 + 11023*T1*T2^2 - 
     13881*T1^2*T2^2 - 15995*T1^3*T2^2 + 46687*T1^4*T2^2 - 36179*T1^5*T2^2 + 
     5259*T1^6*T2^2 + 3715*T1^7*T2^2 - 1116*T1^8*T2^2 + 2943*T2^3 - 
     9158*T1*T2^3 - 15995*T1^2*T2^3 + 92049*T1^3*T2^3 - 100656*T1^4*T2^3 + 
     10041*T1^5*T2^3 + 54129*T1^6*T2^3 - 28001*T1^7*T2^3 + 2119*T1^8*T2^3 + 
     810*T1^9*T2^3 - 2160*T2^4 - 527*T1*T2^4 + 46687*T1^2*T2^4 - 
     100656*T1^3*T2^4 - 11330*T1^4*T2^4 + 178154*T1^5*T2^4 - 
     165494*T1^6*T2^4 + 26850*T1^7*T2^4 + 17377*T1^8*T2^4 - 5189*T1^9*T2^4 - 
     72*T1^10*T2^4 + 780*T2^5 + 6046*T1*T2^5 - 36179*T1^2*T2^5 + 
     10041*T1^3*T2^5 + 178154*T1^4*T2^5 - 262411*T1^5*T2^5 + 
     84217*T1^6*T2^5 + 97534*T1^7*T2^5 - 67038*T1^8*T2^5 + 8539*T1^9*T2^5 + 
     1699*T1^10*T2^5 - 165*T1^11*T2^5 - 111*T2^6 - 3379*T1*T2^6 + 
     5259*T1^2*T2^6 + 54129*T1^3*T2^6 - 165494*T1^4*T2^6 + 84217*T1^5*T2^6 + 
     145872*T1^6*T2^6 - 210121*T1^7*T2^6 + 68322*T1^8*T2^6 + 
     10887*T1^9*T2^6 - 8469*T1^10*T2^6 + 779*T1^11*T2^6 + 51*T1^12*T2^6 + 
     591*T1*T2^7 + 3715*T1^2*T2^7 - 28001*T1^3*T2^7 + 26850*T1^4*T2^7 + 
     97534*T1^5*T2^7 - 210121*T1^6*T2^7 + 136507*T1^7*T2^7 + 
     16914*T1^8*T2^7 - 50229*T1^9*T2^7 + 16717*T1^10*T2^7 - 632*T1^11*T2^7 - 
     354*T1^12*T2^7 - 1116*T1^2*T2^8 + 2119*T1^3*T2^8 + 17377*T1^4*T2^8 - 
     67038*T1^5*T2^8 + 68322*T1^6*T2^8 + 16914*T1^7*T2^8 - 85842*T1^8*T2^8 + 
     60468*T1^9*T2^8 - 11933*T1^10*T2^8 - 2543*T1^11*T2^8 + 972*T1^12*T2^8 + 
     810*T1^3*T2^9 - 5189*T1^4*T2^9 + 8539*T1^5*T2^9 + 10887*T1^6*T2^9 - 
     50229*T1^7*T2^9 + 60468*T1^8*T2^9 - 27033*T1^9*T2^9 - 3467*T1^10*T2^9 + 
     6088*T1^11*T2^9 - 1323*T1^12*T2^9 - 72*T1^4*T2^10 + 1699*T1^5*T2^10 - 
     8469*T1^6*T2^10 + 16717*T1^7*T2^10 - 11933*T1^8*T2^10 - 
     3467*T1^9*T2^10 + 10671*T1^10*T2^10 - 5609*T1^11*T2^10 + 
     972*T1^12*T2^10 - 165*T1^5*T2^11 + 779*T1^6*T2^11 - 632*T1^7*T2^11 - 
     2543*T1^8*T2^11 + 6088*T1^9*T2^11 - 5609*T1^10*T2^11 + 
     2291*T1^11*T2^11 - 354*T1^12*T2^11 + 51*T1^6*T2^12 - 354*T1^7*T2^12 + 
     972*T1^8*T2^12 - 1323*T1^9*T2^12 + 972*T1^10*T2^12 - 354*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1023] -> 
  {-((2 - 8*T + 16*T^2 - 24*T^3 + 27*T^4 - 24*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-41 + 163*T1 - 325*T1^2 + 487*T1^3 - 547*T1^4 + 487*T1^5 - 
      325*T1^6 + 163*T1^7 - 41*T1^8 + 163*T2 - 518*T1*T2 + 774*T1^2*T2 - 
      902*T1^3*T2 + 624*T1^4*T2 - 192*T1^5*T2 - 262*T1^6*T2 + 390*T1^7*T2 - 
      358*T1^8*T2 + 131*T1^9*T2 - 325*T2^2 + 774*T1*T2^2 - 706*T1^2*T2^2 + 
      514*T1^3*T2^2 + 308*T1^4*T2^2 - 790*T1^5*T2^2 + 1012*T1^6*T2^2 - 
      510*T1^7*T2^2 + 190*T1^8*T2^2 + 262*T1^9*T2^2 - 197*T1^10*T2^2 + 
      487*T2^3 - 902*T1*T2^3 + 514*T1^2*T2^3 - 454*T1^3*T2^3 - 
      488*T1^4*T2^3 + 418*T1^5*T2^3 - 350*T1^6*T2^3 - 408*T1^7*T2^3 + 
      218*T1^8*T2^3 - 510*T1^9*T2^3 - 6*T1^10*T2^3 + 199*T1^11*T2^3 - 
      547*T2^4 + 624*T1*T2^4 + 308*T1^2*T2^4 - 488*T1^3*T2^4 + 
      2018*T1^4*T2^4 - 1646*T1^5*T2^4 + 1716*T1^6*T2^4 - 878*T1^7*T2^4 + 
      1274*T1^8*T2^4 - 296*T1^9*T2^4 + 692*T1^10*T2^4 - 336*T1^11*T2^4 - 
      115*T1^12*T2^4 + 487*T2^5 - 192*T1*T2^5 - 790*T1^2*T2^5 + 
      418*T1^3*T2^5 - 1646*T1^4*T2^5 + 352*T1^5*T2^5 - 584*T1^6*T2^5 - 
      8*T1^7*T2^5 - 728*T1^8*T2^5 - 494*T1^9*T2^5 - 350*T1^10*T2^5 - 
      214*T1^11*T2^5 + 432*T1^12*T2^5 + 7*T1^13*T2^5 - 325*T2^6 - 
      262*T1*T2^6 + 1012*T1^2*T2^6 - 350*T1^3*T2^6 + 1716*T1^4*T2^6 - 
      584*T1^5*T2^6 + 1686*T1^6*T2^6 - 1342*T1^7*T2^6 + 1590*T1^8*T2^6 + 
      184*T1^9*T2^6 + 564*T1^10*T2^6 + 418*T1^11*T2^6 - 332*T1^12*T2^6 - 
      262*T1^13*T2^6 + 59*T1^14*T2^6 + 163*T2^7 + 390*T1*T2^7 - 
      510*T1^2*T2^7 - 408*T1^3*T2^7 - 878*T1^4*T2^7 - 8*T1^5*T2^7 - 
      1342*T1^6*T2^7 + 768*T1^7*T2^7 - 440*T1^8*T2^7 - 894*T1^9*T2^7 - 
      200*T1^10*T2^7 - 494*T1^11*T2^7 - 40*T1^12*T2^7 + 514*T1^13*T2^7 + 
      6*T1^14*T2^7 - 61*T1^15*T2^7 - 41*T2^8 - 358*T1*T2^8 + 190*T1^2*T2^8 + 
      218*T1^3*T2^8 + 1274*T1^4*T2^8 - 728*T1^5*T2^8 + 1590*T1^6*T2^8 - 
      440*T1^7*T2^8 - 408*T1^8*T2^8 + 968*T1^9*T2^8 + 54*T1^10*T2^8 + 
      424*T1^11*T2^8 + 90*T1^12*T2^8 - 294*T1^13*T2^8 - 322*T1^14*T2^8 + 
      154*T1^15*T2^8 + 23*T1^16*T2^8 + 131*T1*T2^9 + 262*T1^2*T2^9 - 
      510*T1^3*T2^9 - 296*T1^4*T2^9 - 494*T1^5*T2^9 + 184*T1^6*T2^9 - 
      894*T1^7*T2^9 + 968*T1^8*T2^9 - 240*T1^9*T2^9 - 446*T1^10*T2^9 - 
      8*T1^11*T2^9 - 110*T1^12*T2^9 + 72*T1^13*T2^9 + 514*T1^14*T2^9 - 
      122*T1^15*T2^9 - 93*T1^16*T2^9 - 197*T1^2*T2^10 - 6*T1^3*T2^10 + 
      692*T1^4*T2^10 - 350*T1^5*T2^10 + 564*T1^6*T2^10 - 200*T1^7*T2^10 + 
      54*T1^8*T2^10 - 446*T1^9*T2^10 - 42*T1^10*T2^10 + 568*T1^11*T2^10 - 
      588*T1^12*T2^10 + 418*T1^13*T2^10 - 652*T1^14*T2^10 - 6*T1^15*T2^10 + 
      187*T1^16*T2^10 + 199*T1^3*T2^11 - 336*T1^4*T2^11 - 214*T1^5*T2^11 + 
      418*T1^6*T2^11 - 494*T1^7*T2^11 + 424*T1^8*T2^11 - 8*T1^9*T2^11 + 
      568*T1^10*T2^11 - 656*T1^11*T2^11 + 658*T1^12*T2^11 - 350*T1^13*T2^11 + 
      362*T1^14*T2^11 + 288*T1^15*T2^11 - 281*T1^16*T2^11 - 115*T1^4*T2^12 + 
      432*T1^5*T2^12 - 332*T1^6*T2^12 - 40*T1^7*T2^12 + 90*T1^8*T2^12 - 
      110*T1^9*T2^12 - 588*T1^10*T2^12 + 658*T1^11*T2^12 - 654*T1^12*T2^12 + 
      152*T1^13*T2^12 + 52*T1^14*T2^12 - 528*T1^15*T2^12 + 317*T1^16*T2^12 + 
      7*T1^5*T2^13 - 262*T1^6*T2^13 + 514*T1^7*T2^13 - 294*T1^8*T2^13 + 
      72*T1^9*T2^13 + 418*T1^10*T2^13 - 350*T1^11*T2^13 + 152*T1^12*T2^13 + 
      378*T1^13*T2^13 - 510*T1^14*T2^13 + 634*T1^15*T2^13 - 281*T1^16*T2^13 + 
      59*T1^6*T2^14 + 6*T1^7*T2^14 - 322*T1^8*T2^14 + 514*T1^9*T2^14 - 
      652*T1^10*T2^14 + 362*T1^11*T2^14 + 52*T1^12*T2^14 - 510*T1^13*T2^14 + 
      574*T1^14*T2^14 - 506*T1^15*T2^14 + 187*T1^16*T2^14 - 61*T1^7*T2^15 + 
      154*T1^8*T2^15 - 122*T1^9*T2^15 - 6*T1^10*T2^15 + 288*T1^11*T2^15 - 
      528*T1^12*T2^15 + 634*T1^13*T2^15 - 506*T1^14*T2^15 + 314*T1^15*T2^15 - 
      93*T1^16*T2^15 + 23*T1^8*T2^16 - 93*T1^9*T2^16 + 187*T1^10*T2^16 - 
      281*T1^11*T2^16 + 317*T1^12*T2^16 - 281*T1^13*T2^16 + 187*T1^14*T2^16 - 
      93*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1024] -> 
  {-((4 - 17*T + 33*T^2 - 41*T^3 + 33*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-208 + 876*T1 - 1696*T1^2 + 2112*T1^3 - 1696*T1^4 + 876*T1^5 - 
      208*T1^6 + 876*T2 - 3090*T1*T2 + 4616*T1^2*T2 - 3996*T1^3*T2 + 
      1036*T1^4*T2 + 1216*T1^5*T2 - 1662*T1^6*T2 + 604*T1^7*T2 - 1696*T2^2 + 
      4616*T1*T2^2 - 3862*T1^2*T2^2 - 536*T1^3*T2^2 + 6414*T1^4*T2^2 - 
      6872*T1^5*T2^2 + 3794*T1^6*T2^2 + 128*T1^7*T2^2 - 640*T1^8*T2^2 + 
      2112*T2^3 - 3996*T1*T2^3 - 536*T1^2*T2^3 + 6769*T1^3*T2^3 - 
      11139*T1^4*T2^3 + 5775*T1^5*T2^3 + 859*T1^6*T2^3 - 4991*T1^7*T2^3 + 
      2124*T1^8*T2^3 + 144*T1^9*T2^3 - 1696*T2^4 + 1036*T1*T2^4 + 
      6414*T1^2*T2^4 - 11139*T1^3*T2^4 + 10988*T1^4*T2^4 + 24*T1^5*T2^4 - 
      7156*T1^6*T2^4 + 7639*T1^7*T2^4 + 140*T1^8*T2^4 - 2364*T1^9*T2^4 + 
      416*T1^10*T2^4 + 876*T2^5 + 1216*T1*T2^5 - 6872*T1^2*T2^5 + 
      5775*T1^3*T2^5 + 24*T1^4*T2^5 - 11496*T1^5*T2^5 + 11616*T1^6*T2^5 - 
      3111*T1^7*T2^5 - 7411*T1^8*T2^5 + 5107*T1^9*T2^5 + 264*T1^10*T2^5 - 
      484*T1^11*T2^5 - 208*T2^6 - 1662*T1*T2^6 + 3794*T1^2*T2^6 + 
      859*T1^3*T2^6 - 7156*T1^4*T2^6 + 11616*T1^5*T2^6 - 2880*T1^6*T2^6 - 
      8764*T1^7*T2^6 + 11778*T1^8*T2^6 - 1955*T1^9*T2^6 - 3978*T1^10*T2^6 + 
      1330*T1^11*T2^6 + 176*T1^12*T2^6 + 604*T1*T2^7 + 128*T1^2*T2^7 - 
      4991*T1^3*T2^7 + 7639*T1^4*T2^7 - 3111*T1^5*T2^7 - 8764*T1^6*T2^7 + 
      14348*T1^7*T2^7 - 6246*T1^8*T2^7 - 5547*T1^9*T2^7 + 6988*T1^10*T2^7 - 
      824*T1^11*T2^7 - 756*T1^12*T2^7 - 640*T1^2*T2^8 + 2124*T1^3*T2^8 + 
      140*T1^4*T2^8 - 7411*T1^5*T2^8 + 11778*T1^6*T2^8 - 6246*T1^7*T2^8 - 
      6366*T1^8*T2^8 + 11367*T1^9*T2^8 - 6134*T1^10*T2^8 - 1276*T1^11*T2^8 + 
      1472*T1^12*T2^8 + 144*T1^3*T2^9 - 2364*T1^4*T2^9 + 5107*T1^5*T2^9 - 
      1955*T1^6*T2^9 - 5547*T1^7*T2^9 + 11367*T1^8*T2^9 - 7865*T1^9*T2^9 + 
      652*T1^10*T2^9 + 3756*T1^11*T2^9 - 1824*T1^12*T2^9 + 416*T1^4*T2^10 + 
      264*T1^5*T2^10 - 3978*T1^6*T2^10 + 6988*T1^7*T2^10 - 6134*T1^8*T2^10 + 
      652*T1^9*T2^10 + 3678*T1^10*T2^10 - 4224*T1^11*T2^10 + 
      1472*T1^12*T2^10 - 484*T1^5*T2^11 + 1330*T1^6*T2^11 - 824*T1^7*T2^11 - 
      1276*T1^8*T2^11 + 3756*T1^9*T2^11 - 4224*T1^10*T2^11 + 
      2758*T1^11*T2^11 - 756*T1^12*T2^11 + 176*T1^6*T2^12 - 756*T1^7*T2^12 + 
      1472*T1^8*T2^12 - 1824*T1^9*T2^12 + 1472*T1^10*T2^12 - 
      756*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1025] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^4), 
   -((-23 + 139*T1 - 362*T1^2 + 610*T1^3 - 717*T1^4 + 610*T1^5 - 362*T1^6 + 
      139*T1^7 - 23*T1^8 + 139*T2 - 748*T1*T2 + 1631*T1^2*T2 - 2236*T1^3*T2 + 
      1891*T1^4*T2 - 821*T1^5*T2 - 244*T1^6*T2 + 599*T1^7*T2 - 412*T1^8*T2 + 
      91*T1^9*T2 - 362*T2^2 + 1631*T1*T2^2 - 2458*T1^2*T2^2 + 
      1585*T1^3*T2^2 + 1528*T1^4*T2^2 - 4476*T1^5*T2^2 + 5248*T1^6*T2^2 - 
      3375*T1^7*T2^2 + 1138*T1^8*T2^2 + 143*T1^9*T2^2 - 114*T1^10*T2^2 + 
      610*T2^3 - 2236*T1*T2^3 + 1585*T1^2*T2^3 + 2194*T1^3*T2^3 - 
      7867*T1^4*T2^3 + 9713*T1^5*T2^3 - 6427*T1^6*T2^3 + 233*T1^7*T2^3 + 
      3046*T1^8*T2^3 - 2879*T1^9*T2^3 + 764*T1^10*T2^3 - 14*T1^11*T2^3 - 
      717*T2^4 + 1891*T1*T2^4 + 1528*T1^2*T2^4 - 7867*T1^3*T2^4 + 
      12680*T1^4*T2^4 - 8669*T1^5*T2^4 - 944*T1^6*T2^4 + 9251*T1^7*T2^4 - 
      8448*T1^8*T2^4 + 2949*T1^9*T2^4 + 1680*T1^10*T2^4 - 1469*T1^11*T2^4 + 
      259*T1^12*T2^4 + 610*T2^5 - 821*T1*T2^5 - 4476*T1^2*T2^5 + 
      9713*T1^3*T2^5 - 8669*T1^4*T2^5 - 1494*T1^5*T2^5 + 11062*T1^6*T2^5 - 
      11186*T1^7*T2^5 + 74*T1^8*T2^5 + 8879*T1^9*T2^5 - 8755*T1^10*T2^5 + 
      2532*T1^11*T2^5 + 1027*T1^12*T2^5 - 430*T1^13*T2^5 - 362*T2^6 - 
      244*T1*T2^6 + 5248*T1^2*T2^6 - 6427*T1^3*T2^6 - 944*T1^4*T2^6 + 
      11062*T1^5*T2^6 - 13203*T1^6*T2^6 + 2451*T1^7*T2^6 + 11205*T1^8*T2^6 - 
      12298*T1^9*T2^6 + 1634*T1^10*T2^6 + 6221*T1^11*T2^6 - 5608*T1^12*T2^6 + 
      284*T1^13*T2^6 + 382*T1^14*T2^6 + 139*T2^7 + 599*T1*T2^7 - 
      3375*T1^2*T2^7 + 233*T1^3*T2^7 + 9251*T1^4*T2^7 - 11186*T1^5*T2^7 + 
      2451*T1^6*T2^7 + 14790*T1^7*T2^7 - 19886*T1^8*T2^7 + 7931*T1^9*T2^7 + 
      8838*T1^10*T2^7 - 9785*T1^11*T2^7 + 2997*T1^12*T2^7 + 4065*T1^13*T2^7 - 
      1105*T1^14*T2^7 - 197*T1^15*T2^7 - 23*T2^8 - 412*T1*T2^8 + 
      1138*T1^2*T2^8 + 3046*T1^3*T2^8 - 8448*T1^4*T2^8 + 74*T1^5*T2^8 + 
      11205*T1^6*T2^8 - 19886*T1^7*T2^8 + 6216*T1^8*T2^8 + 13266*T1^9*T2^8 - 
      22255*T1^10*T2^8 + 8058*T1^11*T2^8 + 2844*T1^12*T2^8 - 
      7146*T1^13*T2^8 - 550*T1^14*T2^8 + 932*T1^15*T2^8 + 41*T1^16*T2^8 + 
      91*T1*T2^9 + 143*T1^2*T2^9 - 2879*T1^3*T2^9 + 2949*T1^4*T2^9 + 
      8879*T1^5*T2^9 - 12298*T1^6*T2^9 + 7931*T1^7*T2^9 + 13266*T1^8*T2^9 - 
      21410*T1^9*T2^9 + 13411*T1^10*T2^9 + 7726*T1^11*T2^9 - 
      10157*T1^12*T2^9 + 5713*T1^13*T2^9 + 4561*T1^14*T2^9 - 
      1561*T1^15*T2^9 - 245*T1^16*T2^9 - 114*T1^2*T2^10 + 764*T1^3*T2^10 + 
      1680*T1^4*T2^10 - 8755*T1^5*T2^10 + 1634*T1^6*T2^10 + 8838*T1^7*T2^10 - 
      22255*T1^8*T2^10 + 13411*T1^9*T2^10 + 2153*T1^10*T2^10 - 
      14522*T1^11*T2^10 + 4212*T1^12*T2^10 + 3893*T1^13*T2^10 - 
      9176*T1^14*T2^10 + 1292*T1^15*T2^10 + 630*T1^16*T2^10 - 14*T1^3*T2^11 - 
      1469*T1^4*T2^11 + 2532*T1^5*T2^11 + 6221*T1^6*T2^11 - 9785*T1^7*T2^11 + 
      8058*T1^8*T2^11 + 7726*T1^9*T2^11 - 14522*T1^10*T2^11 + 
      9626*T1^11*T2^11 + 7763*T1^12*T2^11 - 12247*T1^13*T2^11 + 
      9540*T1^14*T2^11 + 379*T1^15*T2^11 - 1054*T1^16*T2^11 + 
      259*T1^4*T2^12 + 1027*T1^5*T2^12 - 5608*T1^6*T2^12 + 2997*T1^7*T2^12 + 
      2844*T1^8*T2^12 - 10157*T1^9*T2^12 + 4212*T1^10*T2^12 + 
      7763*T1^11*T2^12 - 18284*T1^12*T2^12 + 13813*T1^13*T2^12 - 
      5456*T1^14*T2^12 - 2333*T1^15*T2^12 + 1235*T1^16*T2^12 - 
      430*T1^5*T2^13 + 284*T1^6*T2^13 + 4065*T1^7*T2^13 - 7146*T1^8*T2^13 + 
      5713*T1^9*T2^13 + 3893*T1^10*T2^13 - 12247*T1^11*T2^13 + 
      13813*T1^12*T2^13 - 6294*T1^13*T2^13 - 399*T1^14*T2^13 + 
      3284*T1^15*T2^13 - 1054*T1^16*T2^13 + 382*T1^6*T2^14 - 
      1105*T1^7*T2^14 - 550*T1^8*T2^14 + 4561*T1^9*T2^14 - 9176*T1^10*T2^14 + 
      9540*T1^11*T2^14 - 5456*T1^12*T2^14 - 399*T1^13*T2^14 + 
      3046*T1^14*T2^14 - 2593*T1^15*T2^14 + 630*T1^16*T2^14 - 
      197*T1^7*T2^15 + 932*T1^8*T2^15 - 1561*T1^9*T2^15 + 1292*T1^10*T2^15 + 
      379*T1^11*T2^15 - 2333*T1^12*T2^15 + 3284*T1^13*T2^15 - 
      2593*T1^14*T2^15 + 1268*T1^15*T2^15 - 245*T1^16*T2^15 + 41*T1^8*T2^16 - 
      245*T1^9*T2^16 + 630*T1^10*T2^16 - 1054*T1^11*T2^16 + 
      1235*T1^12*T2^16 - 1054*T1^13*T2^16 + 630*T1^14*T2^16 - 
      245*T1^15*T2^16 + 41*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1026] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(3 - 5*T + 3*T^2))/T^3), 
   -((-72 + 410*T1 - 920*T1^2 + 1186*T1^3 - 920*T1^4 + 410*T1^5 - 72*T1^6 + 
      410*T2 - 2077*T1*T2 + 3769*T1^2*T2 - 3452*T1^3*T2 + 985*T1^4*T2 + 
      964*T1^5*T2 - 1057*T1^6*T2 + 257*T1^7*T2 - 920*T2^2 + 3769*T1*T2^2 - 
      3622*T1^2*T2^2 - 2304*T1^3*T2^2 + 9416*T1^4*T2^2 - 9600*T1^5*T2^2 + 
      4358*T1^6*T2^2 - 107*T1^7*T2^2 - 236*T1^8*T2^2 + 1186*T2^3 - 
      3452*T1*T2^3 - 2304*T1^2*T2^3 + 14999*T1^3*T2^3 - 21021*T1^4*T2^3 + 
      10926*T1^5*T2^3 + 2401*T1^6*T2^3 - 6142*T1^7*T2^3 + 2107*T1^8*T2^3 - 
      137*T1^9*T2^3 - 920*T2^4 + 985*T1*T2^4 + 9416*T1^2*T2^4 - 
      21021*T1^3*T2^4 + 13368*T1^4*T2^4 + 11220*T1^5*T2^4 - 23984*T1^6*T2^4 + 
      14945*T1^7*T2^4 - 1578*T1^8*T2^4 - 1769*T1^9*T2^4 + 448*T1^10*T2^4 + 
      410*T2^5 + 964*T1*T2^5 - 9600*T1^2*T2^5 + 10926*T1^3*T2^5 + 
      11220*T1^4*T2^5 - 33681*T1^5*T2^5 + 26823*T1^6*T2^5 - 104*T1^7*T2^5 - 
      12983*T1^8*T2^5 + 8070*T1^9*T2^5 - 515*T1^10*T2^5 - 355*T1^11*T2^5 - 
      72*T2^6 - 1057*T1*T2^6 + 4358*T1^2*T2^6 + 2401*T1^3*T2^6 - 
      23984*T1^4*T2^6 + 26823*T1^5*T2^6 - 948*T1^6*T2^6 - 26051*T1^7*T2^6 + 
      22504*T1^8*T2^6 - 5413*T1^9*T2^6 - 4578*T1^10*T2^6 + 1493*T1^11*T2^6 + 
      90*T1^12*T2^6 + 257*T1*T2^7 - 107*T1^2*T2^7 - 6142*T1^3*T2^7 + 
      14945*T1^4*T2^7 - 104*T1^5*T2^7 - 26051*T1^6*T2^7 + 34453*T1^7*T2^7 - 
      11428*T1^8*T2^7 - 8964*T1^9*T2^7 + 11528*T1^10*T2^7 - 1586*T1^11*T2^7 - 
      508*T1^12*T2^7 - 236*T1^2*T2^8 + 2107*T1^3*T2^8 - 1578*T1^4*T2^8 - 
      12983*T1^5*T2^8 + 22504*T1^6*T2^8 - 11428*T1^7*T2^8 - 14848*T1^8*T2^8 + 
      22983*T1^9*T2^8 - 12572*T1^10*T2^8 - 647*T1^11*T2^8 + 1132*T1^12*T2^8 - 
      137*T1^3*T2^9 - 1769*T1^4*T2^9 + 8070*T1^5*T2^9 - 5413*T1^6*T2^9 - 
      8964*T1^7*T2^9 + 22983*T1^8*T2^9 - 18011*T1^9*T2^9 + 4232*T1^10*T2^9 + 
      3790*T1^11*T2^9 - 1460*T1^12*T2^9 + 448*T1^4*T2^10 - 515*T1^5*T2^10 - 
      4578*T1^6*T2^10 + 11528*T1^7*T2^10 - 12572*T1^8*T2^10 + 
      4232*T1^9*T2^10 + 3402*T1^10*T2^10 - 4391*T1^11*T2^10 + 
      1132*T1^12*T2^10 - 355*T1^5*T2^11 + 1493*T1^6*T2^11 - 1586*T1^7*T2^11 - 
      647*T1^8*T2^11 + 3790*T1^9*T2^11 - 4391*T1^10*T2^11 + 
      2513*T1^11*T2^11 - 508*T1^12*T2^11 + 90*T1^6*T2^12 - 508*T1^7*T2^12 + 
      1132*T1^8*T2^12 - 1460*T1^9*T2^12 + 1132*T1^10*T2^12 - 
      508*T1^11*T2^12 + 90*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1027] -> 
  {(1 - 3*T + 6*T^2 - 10*T^3 + 14*T^4 - 15*T^5 + 14*T^6 - 10*T^7 + 6*T^8 - 
     3*T^9 + T^10)/T^5, (-4 + 12*T1 - 24*T1^2 + 40*T1^3 - 56*T1^4 + 60*T1^5 - 
     56*T1^6 + 40*T1^7 - 24*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 
     45*T1^2*T2 - 66*T1^3*T2 + 78*T1^4*T2 - 54*T1^5*T2 + 33*T1^6*T2 + 
     6*T1^7*T2 - 18*T1^8*T2 + 18*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 
     24*T2^2 + 45*T1*T2^2 - 76*T1^2*T2^2 + 117*T1^3*T2^2 - 143*T1^4*T2^2 + 
     110*T1^5*T2^2 - 110*T1^6*T2^2 + 50*T1^7*T2^2 - 47*T1^8*T2^2 + 
     33*T1^9*T2^2 - 16*T1^10*T2^2 + 9*T1^11*T2^2 - 12*T1^12*T2^2 + 40*T2^3 - 
     66*T1*T2^3 + 117*T1^2*T2^3 - 180*T1^3*T2^3 + 212*T1^4*T2^3 - 
     153*T1^5*T2^3 + 163*T1^6*T2^3 - 35*T1^7*T2^3 + 45*T1^8*T2^3 - 
     10*T1^9*T2^3 - 12*T1^10*T2^3 + 9*T1^11*T2^3 + 6*T1^12*T2^3 + 
     10*T1^13*T2^3 - 56*T2^4 + 78*T1*T2^4 - 143*T1^2*T2^4 + 212*T1^3*T2^4 - 
     229*T1^4*T2^4 + 132*T1^5*T2^4 - 154*T1^6*T2^4 - 55*T1^7*T2^4 - 
     6*T1^8*T2^4 - 60*T1^9*T2^4 + 79*T1^10*T2^4 - 48*T1^11*T2^4 + 
     13*T1^12*T2^4 - 30*T1^13*T2^4 + 60*T2^5 - 54*T1*T2^5 + 110*T1^2*T2^5 - 
     153*T1^3*T2^5 + 132*T1^4*T2^5 - 21*T1^5*T2^5 + 95*T1^6*T2^5 + 
     137*T1^7*T2^5 + 53*T1^8*T2^5 + 26*T1^9*T2^5 - 3*T1^10*T2^5 - 
     72*T1^11*T2^5 + 81*T1^12*T2^5 - 22*T1^13*T2^5 + 45*T1^14*T2^5 - 
     15*T1^15*T2^5 - 56*T2^6 + 33*T1*T2^6 - 110*T1^2*T2^6 + 163*T1^3*T2^6 - 
     154*T1^4*T2^6 + 95*T1^5*T2^6 - 210*T1^6*T2^6 - 76*T1^7*T2^6 - 
     146*T1^8*T2^6 - 64*T1^9*T2^6 + 66*T1^10*T2^6 - T1^11*T2^6 + 
     62*T1^12*T2^6 - 101*T1^13*T2^6 + 22*T1^14*T2^6 - 39*T1^15*T2^6 + 
     28*T1^16*T2^6 + 40*T2^7 + 6*T1*T2^7 + 50*T1^2*T2^7 - 35*T1^3*T2^7 - 
     55*T1^4*T2^7 + 137*T1^5*T2^7 - 76*T1^6*T2^7 + 370*T1^7*T2^7 - 
     62*T1^8*T2^7 + 248*T1^9*T2^7 - 120*T1^10*T2^7 - 46*T1^11*T2^7 - 
     43*T1^12*T2^7 + 5*T1^13*T2^7 + 75*T1^14*T2^7 - 10*T1^15*T2^7 + 
     6*T1^16*T2^7 - 30*T1^17*T2^7 - 24*T2^8 - 18*T1*T2^8 - 47*T1^2*T2^8 + 
     45*T1^3*T2^8 - 6*T1^4*T2^8 + 53*T1^5*T2^8 - 146*T1^6*T2^8 - 
     62*T1^7*T2^8 - 233*T1^8*T2^8 - 9*T1^9*T2^8 - 65*T1^10*T2^8 + 
     166*T1^11*T2^8 + 94*T1^12*T2^8 - 7*T1^13*T2^8 - 18*T1^14*T2^8 - 
     63*T1^15*T2^8 + 37*T1^16*T2^8 + 18*T1^17*T2^8 + 24*T1^18*T2^8 + 
     12*T2^9 + 18*T1*T2^9 + 33*T1^2*T2^9 - 10*T1^3*T2^9 - 60*T1^4*T2^9 + 
     26*T1^5*T2^9 - 64*T1^6*T2^9 + 248*T1^7*T2^9 - 9*T1^8*T2^9 + 
     161*T1^9*T2^9 - 55*T1^10*T2^9 - 105*T1^11*T2^9 - 226*T1^12*T2^9 - 
     22*T1^13*T2^9 - 13*T1^14*T2^9 + 72*T1^15*T2^9 - 16*T1^16*T2^9 - 
     51*T1^17*T2^9 - 27*T1^18*T2^9 - 15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 - 
     16*T1^2*T2^10 - 12*T1^3*T2^10 + 79*T1^4*T2^10 - 3*T1^5*T2^10 + 
     66*T1^6*T2^10 - 120*T1^7*T2^10 - 65*T1^8*T2^10 - 55*T1^9*T2^10 + 
     108*T1^10*T2^10 + 3*T1^11*T2^10 + 419*T1^12*T2^10 + 4*T1^13*T2^10 + 
     110*T1^14*T2^10 - 81*T1^15*T2^10 - 13*T1^16*T2^10 + 72*T1^17*T2^10 + 
     44*T1^18*T2^10 + 27*T1^19*T2^10 + 6*T1^20*T2^10 + 9*T1*T2^11 + 
     9*T1^2*T2^11 + 9*T1^3*T2^11 - 48*T1^4*T2^11 - 72*T1^5*T2^11 - 
     T1^6*T2^11 - 46*T1^7*T2^11 + 166*T1^8*T2^11 - 105*T1^9*T2^11 + 
     3*T1^10*T2^11 - 213*T1^11*T2^11 - 201*T1^12*T2^11 - 308*T1^13*T2^11 - 
     4*T1^14*T2^11 - 40*T1^15*T2^11 + 60*T1^16*T2^11 - 54*T1^17*T2^11 - 
     75*T1^18*T2^11 - 36*T1^19*T2^11 - 18*T1^20*T2^11 - 12*T1^2*T2^12 + 
     6*T1^3*T2^12 + 13*T1^4*T2^12 + 81*T1^5*T2^12 + 62*T1^6*T2^12 - 
     43*T1^7*T2^12 + 94*T1^8*T2^12 - 226*T1^9*T2^12 + 419*T1^10*T2^12 - 
     201*T1^11*T2^12 + 587*T1^12*T2^12 + 2*T1^13*T2^12 + 334*T1^14*T2^12 - 
     103*T1^15*T2^12 + 50*T1^16*T2^12 - 27*T1^17*T2^12 + 97*T1^18*T2^12 + 
     42*T1^19*T2^12 + 36*T1^20*T2^12 + 10*T1^3*T2^13 - 30*T1^4*T2^13 - 
     22*T1^5*T2^13 - 101*T1^6*T2^13 + 5*T1^7*T2^13 - 7*T1^8*T2^13 - 
     22*T1^9*T2^13 + 4*T1^10*T2^13 - 308*T1^11*T2^13 + 2*T1^12*T2^13 - 
     486*T1^13*T2^13 + 8*T1^14*T2^13 - 187*T1^15*T2^13 + 65*T1^16*T2^13 + 
     9*T1^17*T2^13 - 82*T1^18*T2^13 - 30*T1^19*T2^13 - 60*T1^20*T2^13 + 
     45*T1^5*T2^14 + 22*T1^6*T2^14 + 75*T1^7*T2^14 - 18*T1^8*T2^14 - 
     13*T1^9*T2^14 + 110*T1^10*T2^14 - 4*T1^11*T2^14 + 334*T1^12*T2^14 + 
     8*T1^13*T2^14 + 386*T1^14*T2^14 - 109*T1^15*T2^14 + 198*T1^16*T2^14 - 
     189*T1^17*T2^14 + 154*T1^18*T2^14 - 27*T1^19*T2^14 + 84*T1^20*T2^14 - 
     15*T1^5*T2^15 - 39*T1^6*T2^15 - 10*T1^7*T2^15 - 63*T1^8*T2^15 + 
     72*T1^9*T2^15 - 81*T1^10*T2^15 - 40*T1^11*T2^15 - 103*T1^12*T2^15 - 
     187*T1^13*T2^15 - 109*T1^14*T2^15 - 63*T1^15*T2^15 - 132*T1^16*T2^15 + 
     171*T1^17*T2^15 - 142*T1^18*T2^15 + 60*T1^19*T2^15 - 90*T1^20*T2^15 + 
     28*T1^6*T2^16 + 6*T1^7*T2^16 + 37*T1^8*T2^16 - 16*T1^9*T2^16 - 
     13*T1^10*T2^16 + 60*T1^11*T2^16 + 50*T1^12*T2^16 + 65*T1^13*T2^16 + 
     198*T1^14*T2^16 - 132*T1^15*T2^16 + 295*T1^16*T2^16 - 276*T1^17*T2^16 + 
     193*T1^18*T2^16 - 102*T1^19*T2^16 + 84*T1^20*T2^16 - 30*T1^7*T2^17 + 
     18*T1^8*T2^17 - 51*T1^9*T2^17 + 72*T1^10*T2^17 - 54*T1^11*T2^17 - 
     27*T1^12*T2^17 + 9*T1^13*T2^17 - 189*T1^14*T2^17 + 171*T1^15*T2^17 - 
     276*T1^16*T2^17 + 240*T1^17*T2^17 - 159*T1^18*T2^17 + 90*T1^19*T2^17 - 
     60*T1^20*T2^17 + 24*T1^8*T2^18 - 27*T1^9*T2^18 + 44*T1^10*T2^18 - 
     75*T1^11*T2^18 + 97*T1^12*T2^18 - 82*T1^13*T2^18 + 154*T1^14*T2^18 - 
     142*T1^15*T2^18 + 193*T1^16*T2^18 - 159*T1^17*T2^18 + 104*T1^18*T2^18 - 
     63*T1^19*T2^18 + 36*T1^20*T2^18 - 15*T1^9*T2^19 + 27*T1^10*T2^19 - 
     36*T1^11*T2^19 + 42*T1^12*T2^19 - 30*T1^13*T2^19 - 27*T1^14*T2^19 + 
     60*T1^15*T2^19 - 102*T1^16*T2^19 + 90*T1^17*T2^19 - 63*T1^18*T2^19 + 
     39*T1^19*T2^19 - 18*T1^20*T2^19 + 6*T1^10*T2^20 - 18*T1^11*T2^20 + 
     36*T1^12*T2^20 - 60*T1^13*T2^20 + 84*T1^14*T2^20 - 90*T1^15*T2^20 + 
     84*T1^16*T2^20 - 60*T1^17*T2^20 + 36*T1^18*T2^20 - 18*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1028] -> 
  {(2 - 7*T + 14*T^2 - 21*T^3 + 25*T^4 - 21*T^5 + 14*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-31 + 109*T1 - 218*T1^2 + 327*T1^3 - 389*T1^4 + 327*T1^5 - 
     218*T1^6 + 109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 481*T1^2*T2 - 
     579*T1^3*T2 + 512*T1^4*T2 - 132*T1^5*T2 - 89*T1^6*T2 + 187*T1^7*T2 - 
     176*T1^8*T2 + 81*T1^9*T2 - 218*T2^2 + 481*T1*T2^2 - 638*T1^2*T2^2 + 
     672*T1^3*T2^2 - 469*T1^4*T2^2 - 176*T1^5*T2^2 + 147*T1^6*T2^2 - 
     112*T1^7*T2^2 + 34*T1^8*T2^2 + 89*T1^9*T2^2 - 106*T1^10*T2^2 + 
     327*T2^3 - 579*T1*T2^3 + 672*T1^2*T2^3 - 686*T1^3*T2^3 + 418*T1^4*T2^3 + 
     329*T1^5*T2^3 + 231*T1^6*T2^3 - 184*T1^7*T2^3 + 154*T1^8*T2^3 - 
     210*T1^9*T2^3 + 107*T1^10*T2^3 + 75*T1^11*T2^3 - 389*T2^4 + 
     512*T1*T2^4 - 469*T1^2*T2^4 + 418*T1^3*T2^4 - 8*T1^4*T2^4 - 
     783*T1^5*T2^4 - 208*T1^6*T2^4 - 349*T1^7*T2^4 + 476*T1^8*T2^4 - 
     254*T1^9*T2^4 + 273*T1^10*T2^4 - 300*T1^11*T2^4 + 11*T1^12*T2^4 + 
     327*T2^5 - 132*T1*T2^5 - 176*T1^2*T2^5 + 329*T1^3*T2^5 - 783*T1^4*T2^5 + 
     1185*T1^5*T2^5 + 263*T1^6*T2^5 + 704*T1^7*T2^5 - 495*T1^8*T2^5 - 
     132*T1^9*T2^5 + 35*T1^10*T2^5 - 29*T1^11*T2^5 + 288*T1^12*T2^5 - 
     93*T1^13*T2^5 - 218*T2^6 - 89*T1*T2^6 + 147*T1^2*T2^6 + 231*T1^3*T2^6 - 
     208*T1^4*T2^6 + 263*T1^5*T2^6 - 1260*T1^6*T2^6 - 498*T1^7*T2^6 + 
     224*T1^8*T2^6 + 459*T1^9*T2^6 + 44*T1^10*T2^6 + 35*T1^11*T2^6 - 
     217*T1^12*T2^6 - 89*T1^13*T2^6 + 118*T1^14*T2^6 + 109*T2^7 + 
     187*T1*T2^7 - 112*T1^2*T2^7 - 184*T1^3*T2^7 - 349*T1^4*T2^7 + 
     704*T1^5*T2^7 - 498*T1^6*T2^7 + 1917*T1^7*T2^7 - 771*T1^8*T2^7 - 
     449*T1^9*T2^7 - 227*T1^10*T2^7 - 132*T1^11*T2^7 + 138*T1^12*T2^7 + 
     182*T1^13*T2^7 - 107*T1^14*T2^7 - 87*T1^15*T2^7 - 31*T2^8 - 
     176*T1*T2^8 + 34*T1^2*T2^8 + 154*T1^3*T2^8 + 476*T1^4*T2^8 - 
     495*T1^5*T2^8 + 224*T1^6*T2^8 - 771*T1^7*T2^8 - 468*T1^8*T2^8 + 
     1259*T1^9*T2^8 + 182*T1^10*T2^8 + 303*T1^11*T2^8 - 96*T1^12*T2^8 - 
     126*T1^13*T2^8 - 8*T1^14*T2^8 + 188*T1^15*T2^8 + 33*T1^16*T2^8 + 
     81*T1*T2^9 + 89*T1^2*T2^9 - 210*T1^3*T2^9 - 254*T1^4*T2^9 - 
     132*T1^5*T2^9 + 459*T1^6*T2^9 - 449*T1^7*T2^9 + 1259*T1^8*T2^9 - 
     1429*T1^9*T2^9 - 400*T1^10*T2^9 - 472*T1^11*T2^9 + 85*T1^12*T2^9 + 
     68*T1^13*T2^9 + 84*T1^14*T2^9 - 205*T1^15*T2^9 - 115*T1^16*T2^9 - 
     106*T1^2*T2^10 + 107*T1^3*T2^10 + 273*T1^4*T2^10 + 35*T1^5*T2^10 + 
     44*T1^6*T2^10 - 227*T1^7*T2^10 + 182*T1^8*T2^10 - 400*T1^9*T2^10 + 
     1666*T1^10*T2^10 - 31*T1^11*T2^10 + 296*T1^12*T2^10 - 161*T1^13*T2^10 - 
     91*T1^14*T2^10 + 107*T1^15*T2^10 + 230*T1^16*T2^10 + 75*T1^3*T2^11 - 
     300*T1^4*T2^11 - 29*T1^5*T2^11 + 35*T1^6*T2^11 - 132*T1^7*T2^11 + 
     303*T1^8*T2^11 - 472*T1^9*T2^11 - 31*T1^10*T2^11 - 1377*T1^11*T2^11 + 
     519*T1^12*T2^11 - 259*T1^13*T2^11 + 118*T1^14*T2^11 + 120*T1^15*T2^11 - 
     345*T1^16*T2^11 + 11*T1^4*T2^12 + 288*T1^5*T2^12 - 217*T1^6*T2^12 + 
     138*T1^7*T2^12 - 96*T1^8*T2^12 + 85*T1^9*T2^12 + 296*T1^10*T2^12 + 
     519*T1^11*T2^12 + 388*T1^12*T2^12 - 534*T1^13*T2^12 + 525*T1^14*T2^12 - 
     524*T1^15*T2^12 + 411*T1^16*T2^12 - 93*T1^5*T2^13 - 89*T1^6*T2^13 + 
     182*T1^7*T2^13 - 126*T1^8*T2^13 + 68*T1^9*T2^13 - 161*T1^10*T2^13 - 
     259*T1^11*T2^13 - 534*T1^12*T2^13 + 714*T1^13*T2^13 - 700*T1^14*T2^13 + 
     597*T1^15*T2^13 - 345*T1^16*T2^13 + 118*T1^6*T2^14 - 107*T1^7*T2^14 - 
     8*T1^8*T2^14 + 84*T1^9*T2^14 - 91*T1^10*T2^14 + 118*T1^11*T2^14 + 
     525*T1^12*T2^14 - 700*T1^13*T2^14 + 664*T1^14*T2^14 - 499*T1^15*T2^14 + 
     230*T1^16*T2^14 - 87*T1^7*T2^15 + 188*T1^8*T2^15 - 205*T1^9*T2^15 + 
     107*T1^10*T2^15 + 120*T1^11*T2^15 - 524*T1^12*T2^15 + 597*T1^13*T2^15 - 
     499*T1^14*T2^15 + 314*T1^15*T2^15 - 115*T1^16*T2^15 + 33*T1^8*T2^16 - 
     115*T1^9*T2^16 + 230*T1^10*T2^16 - 345*T1^11*T2^16 + 411*T1^12*T2^16 - 
     345*T1^13*T2^16 + 230*T1^14*T2^16 - 115*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1029] -> 
  {((2 - 2*T + 2*T^2 - 2*T^3 + T^4)*(1 - 2*T + 2*T^2 - 2*T^3 + 2*T^4))/T^4, 
   (-31 + 93*T1 - 155*T1^2 + 217*T1^3 - 263*T1^4 + 217*T1^5 - 155*T1^6 + 
     93*T1^7 - 31*T1^8 + 93*T2 - 210*T1*T2 + 258*T1^2*T2 - 306*T1^3*T2 + 
     306*T1^4*T2 - 66*T1^5*T2 - 18*T1^6*T2 + 66*T1^7*T2 - 114*T1^8*T2 + 
     69*T1^9*T2 - 155*T2^2 + 258*T1*T2^2 - 229*T1^2*T2^2 + 275*T1^3*T2^2 - 
     237*T1^4*T2^2 - 153*T1^5*T2^2 + 43*T1^6*T2^2 - 45*T1^7*T2^2 + 
     91*T1^8*T2^2 + 18*T1^9*T2^2 - 75*T1^10*T2^2 + 217*T2^3 - 306*T1*T2^3 + 
     275*T1^2*T2^3 - 420*T1^3*T2^3 + 392*T1^4*T2^3 + 88*T1^5*T2^3 + 
     244*T1^6*T2^3 - 100*T1^7*T2^3 - 36*T1^8*T2^3 - 85*T1^9*T2^3 + 
     78*T1^10*T2^3 + 49*T1^11*T2^3 - 263*T2^4 + 306*T1*T2^4 - 237*T1^2*T2^4 + 
     392*T1^3*T2^4 - 227*T1^4*T2^4 - 435*T1^5*T2^4 - 21*T1^6*T2^4 - 
     347*T1^7*T2^4 + 469*T1^8*T2^4 - 168*T1^9*T2^4 + 115*T1^10*T2^4 - 
     174*T1^11*T2^4 + 9*T1^12*T2^4 + 217*T2^5 - 66*T1*T2^5 - 153*T1^2*T2^5 + 
     88*T1^3*T2^5 - 435*T1^4*T2^5 + 1008*T1^5*T2^5 - 200*T1^6*T2^5 + 
     564*T1^7*T2^5 - 430*T1^8*T2^5 - 159*T1^9*T2^5 + 108*T1^10*T2^5 + 
     3*T1^11*T2^5 + 162*T1^12*T2^5 - 63*T1^13*T2^5 - 155*T2^6 - 18*T1*T2^6 + 
     43*T1^2*T2^6 + 244*T1^3*T2^6 - 21*T1^4*T2^6 - 200*T1^5*T2^6 - 
     623*T1^6*T2^6 - 75*T1^7*T2^6 + 29*T1^8*T2^6 + 440*T1^9*T2^6 + 
     35*T1^10*T2^6 - 116*T1^11*T2^6 - 93*T1^12*T2^6 - 66*T1^13*T2^6 + 
     85*T1^14*T2^6 + 93*T2^7 + 66*T1*T2^7 - 45*T1^2*T2^7 - 100*T1^3*T2^7 - 
     347*T1^4*T2^7 + 564*T1^5*T2^7 - 75*T1^6*T2^7 + 844*T1^7*T2^7 - 
     582*T1^8*T2^7 - 63*T1^9*T2^7 - 448*T1^10*T2^7 + 129*T1^11*T2^7 + 
     120*T1^12*T2^7 + 75*T1^13*T2^7 - 30*T1^14*T2^7 - 75*T1^15*T2^7 - 
     31*T2^8 - 114*T1*T2^8 + 91*T1^2*T2^8 - 36*T1^3*T2^8 + 469*T1^4*T2^8 - 
     430*T1^5*T2^8 + 29*T1^6*T2^8 - 582*T1^7*T2^8 + 168*T1^8*T2^8 + 
     498*T1^9*T2^8 + 189*T1^10*T2^8 + 330*T1^11*T2^8 - 363*T1^12*T2^8 + 
     60*T1^13*T2^8 - 85*T1^14*T2^8 + 126*T1^15*T2^8 + 33*T1^16*T2^8 + 
     69*T1*T2^9 + 18*T1^2*T2^9 - 85*T1^3*T2^9 - 168*T1^4*T2^9 - 
     159*T1^5*T2^9 + 440*T1^6*T2^9 - 63*T1^7*T2^9 + 498*T1^8*T2^9 - 
     928*T1^9*T2^9 - 51*T1^10*T2^9 - 572*T1^11*T2^9 + 317*T1^12*T2^9 + 
     52*T1^13*T2^9 + 35*T1^14*T2^9 - 78*T1^15*T2^9 - 99*T1^16*T2^9 - 
     75*T1^2*T2^10 + 78*T1^3*T2^10 + 115*T1^4*T2^10 + 108*T1^5*T2^10 + 
     35*T1^6*T2^10 - 448*T1^7*T2^10 + 189*T1^8*T2^10 - 51*T1^9*T2^10 + 
     841*T1^10*T2^10 + 192*T1^11*T2^10 + 91*T1^12*T2^10 - 252*T1^13*T2^10 - 
     21*T1^14*T2^10 + 30*T1^15*T2^10 + 165*T1^16*T2^10 + 49*T1^3*T2^11 - 
     174*T1^4*T2^11 + 3*T1^5*T2^11 - 116*T1^6*T2^11 + 129*T1^7*T2^11 + 
     330*T1^8*T2^11 - 572*T1^9*T2^11 + 192*T1^10*T2^11 - 1108*T1^11*T2^11 + 
     405*T1^12*T2^11 - 96*T1^13*T2^11 + 159*T1^14*T2^11 + 54*T1^15*T2^11 - 
     231*T1^16*T2^11 + 9*T1^4*T2^12 + 162*T1^5*T2^12 - 93*T1^6*T2^12 + 
     120*T1^7*T2^12 - 363*T1^8*T2^12 + 317*T1^9*T2^12 + 91*T1^10*T2^12 + 
     405*T1^11*T2^12 + 333*T1^12*T2^12 - 440*T1^13*T2^12 + 259*T1^14*T2^12 - 
     318*T1^15*T2^12 + 281*T1^16*T2^12 - 63*T1^5*T2^13 - 66*T1^6*T2^13 + 
     75*T1^7*T2^13 + 60*T1^8*T2^13 + 52*T1^9*T2^13 - 252*T1^10*T2^13 - 
     96*T1^11*T2^13 - 440*T1^12*T2^13 + 444*T1^13*T2^13 - 285*T1^14*T2^13 + 
     318*T1^15*T2^13 - 231*T1^16*T2^13 + 85*T1^6*T2^14 - 30*T1^7*T2^14 - 
     85*T1^8*T2^14 + 35*T1^9*T2^14 - 21*T1^10*T2^14 + 159*T1^11*T2^14 + 
     259*T1^12*T2^14 - 285*T1^13*T2^14 + 235*T1^14*T2^14 - 270*T1^15*T2^14 + 
     165*T1^16*T2^14 - 75*T1^7*T2^15 + 126*T1^8*T2^15 - 78*T1^9*T2^15 + 
     30*T1^10*T2^15 + 54*T1^11*T2^15 - 318*T1^12*T2^15 + 318*T1^13*T2^15 - 
     270*T1^14*T2^15 + 222*T1^15*T2^15 - 99*T1^16*T2^15 + 33*T1^8*T2^16 - 
     99*T1^9*T2^16 + 165*T1^10*T2^16 - 231*T1^11*T2^16 + 281*T1^12*T2^16 - 
     231*T1^13*T2^16 + 165*T1^14*T2^16 - 99*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1030] -> 
  {(4 - 13*T + 19*T^2 - 19*T^3 + 19*T^4 - 13*T^5 + 4*T^6)/T^3, 
   (-240 + 780*T1 - 1136*T1^2 + 1136*T1^3 - 1136*T1^4 + 780*T1^5 - 240*T1^6 + 
     780*T2 - 1962*T1*T2 + 1832*T1^2*T2 - 988*T1^3*T2 + 988*T1^4*T2 + 
     168*T1^5*T2 - 1078*T1^6*T2 + 572*T1^7*T2 - 1136*T2^2 + 1832*T1*T2^2 + 
     193*T1^2*T2^2 - 1887*T1^3*T2^2 + 1213*T1^4*T2^2 - 2799*T1^5*T2^2 + 
     2473*T1^6*T2^2 - 144*T1^7*T2^2 - 528*T1^8*T2^2 + 1136*T2^3 - 
     988*T1*T2^3 - 1887*T1^2*T2^3 + 2501*T1^3*T2^3 - 359*T1^4*T2^3 + 
     1731*T1^5*T2^3 - 159*T1^6*T2^3 - 2020*T1^7*T2^3 + 988*T1^8*T2^3 + 
     224*T1^9*T2^3 - 1136*T2^4 + 988*T1*T2^4 + 1213*T1^2*T2^4 - 
     359*T1^3*T2^4 - 2228*T1^4*T2^4 + 96*T1^5*T2^4 - 632*T1^6*T2^4 + 
     1275*T1^7*T2^4 + 567*T1^8*T2^4 - 988*T1^9*T2^4 + 80*T1^10*T2^4 + 
     780*T2^5 + 168*T1*T2^5 - 2799*T1^2*T2^5 + 1731*T1^3*T2^5 + 
     96*T1^4*T2^5 + 3020*T1^5*T2^5 - 2554*T1^6*T2^5 + 647*T1^7*T2^5 - 
     1271*T1^8*T2^5 + 450*T1^9*T2^5 + 584*T1^10*T2^5 - 260*T1^11*T2^5 - 
     240*T2^6 - 1078*T1*T2^6 + 2473*T1^2*T2^6 - 159*T1^3*T2^6 - 
     632*T1^4*T2^6 - 2554*T1^5*T2^6 + 780*T1^6*T2^6 + 2006*T1^7*T2^6 - 
     822*T1^8*T2^6 + 1475*T1^9*T2^6 - 1603*T1^10*T2^6 + 378*T1^11*T2^6 + 
     144*T1^12*T2^6 + 572*T1*T2^7 - 144*T1^2*T2^7 - 2020*T1^3*T2^7 + 
     1275*T1^4*T2^7 + 647*T1^5*T2^7 + 2006*T1^6*T2^7 - 3568*T1^7*T2^7 + 
     1198*T1^8*T2^7 - 1727*T1^9*T2^7 + 1229*T1^10*T2^7 + 272*T1^11*T2^7 - 
     468*T1^12*T2^7 - 528*T1^2*T2^8 + 988*T1^3*T2^8 + 567*T1^4*T2^8 - 
     1271*T1^5*T2^8 - 822*T1^6*T2^8 + 1198*T1^7*T2^8 + 774*T1^8*T2^8 + 
     363*T1^9*T2^8 - 79*T1^10*T2^8 - 988*T1^11*T2^8 + 688*T1^12*T2^8 + 
     224*T1^3*T2^9 - 988*T1^4*T2^9 + 450*T1^5*T2^9 + 1475*T1^6*T2^9 - 
     1727*T1^7*T2^9 + 363*T1^8*T2^9 - 1185*T1^9*T2^9 + 317*T1^10*T2^9 + 
     988*T1^11*T2^9 - 688*T1^12*T2^9 + 80*T1^4*T2^10 + 584*T1^5*T2^10 - 
     1603*T1^6*T2^10 + 1229*T1^7*T2^10 - 79*T1^8*T2^10 + 317*T1^9*T2^10 + 
     677*T1^10*T2^10 - 1392*T1^11*T2^10 + 688*T1^12*T2^10 - 260*T1^5*T2^11 + 
     378*T1^6*T2^11 + 272*T1^7*T2^11 - 988*T1^8*T2^11 + 988*T1^9*T2^11 - 
     1392*T1^10*T2^11 + 1262*T1^11*T2^11 - 468*T1^12*T2^11 + 144*T1^6*T2^12 - 
     468*T1^7*T2^12 + 688*T1^8*T2^12 - 688*T1^9*T2^12 + 688*T1^10*T2^12 - 
     468*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1031] -> 
  {(2 - 7*T + 13*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-17 + 59*T1 - 110*T1^2 + 144*T1^3 - 161*T1^4 + 144*T1^5 - 
     110*T1^6 + 59*T1^7 - 17*T1^8 + 59*T2 - 174*T1*T2 + 275*T1^2*T2 - 
     300*T1^3*T2 + 297*T1^4*T2 - 207*T1^5*T2 + 120*T1^6*T2 - 5*T1^7*T2 - 
     48*T1^8*T2 + 31*T1^9*T2 - 110*T2^2 + 275*T1*T2^2 - 362*T1^2*T2^2 + 
     309*T1^3*T2^2 - 259*T1^4*T2^2 + 60*T1^5*T2^2 + 53*T1^6*T2^2 - 
     211*T1^7*T2^2 + 210*T1^8*T2^2 - 89*T1^9*T2^2 - 6*T1^10*T2^2 + 144*T2^3 - 
     300*T1*T2^3 + 309*T1^2*T2^3 - 165*T1^3*T2^3 + 119*T1^4*T2^3 + 
     111*T1^5*T2^3 - 105*T1^6*T2^3 + 197*T1^7*T2^3 - 47*T1^8*T2^3 - 
     198*T1^9*T2^3 + 232*T1^10*T2^3 - 60*T1^11*T2^3 - 161*T2^4 + 
     297*T1*T2^4 - 259*T1^2*T2^4 + 119*T1^3*T2^4 - 167*T1^4*T2^4 - 
     64*T1^5*T2^4 - 13*T1^6*T2^4 - 156*T1^7*T2^4 + 37*T1^8*T2^4 + 
     153*T1^9*T2^4 + 51*T1^10*T2^4 - 291*T1^11*T2^4 + 143*T1^12*T2^4 + 
     144*T2^5 - 207*T1*T2^5 + 60*T1^2*T2^5 + 111*T1^3*T2^5 - 64*T1^4*T2^5 + 
     372*T1^5*T2^5 - 246*T1^6*T2^5 + 368*T1^7*T2^5 - 142*T1^8*T2^5 - 
     133*T1^9*T2^5 - 197*T1^10*T2^5 + 201*T1^11*T2^5 + 185*T1^12*T2^5 - 
     196*T1^13*T2^5 - 110*T2^6 + 120*T1*T2^6 + 53*T1^2*T2^6 - 105*T1^3*T2^6 - 
     13*T1^4*T2^6 - 246*T1^5*T2^6 - 5*T1^6*T2^6 - 33*T1^7*T2^6 - 
     85*T1^8*T2^6 + 254*T1^9*T2^6 + 293*T1^10*T2^6 - 27*T1^11*T2^6 - 
     263*T1^12*T2^6 - 20*T1^13*T2^6 + 202*T1^14*T2^6 + 59*T2^7 - 5*T1*T2^7 - 
     211*T1^2*T2^7 + 197*T1^3*T2^7 - 156*T1^4*T2^7 + 368*T1^5*T2^7 - 
     33*T1^6*T2^7 - 31*T1^7*T2^7 + 13*T1^8*T2^7 - 210*T1^9*T2^7 - 
     474*T1^10*T2^7 + 5*T1^11*T2^7 - 57*T1^12*T2^7 + 374*T1^13*T2^7 - 
     229*T1^14*T2^7 - 137*T1^15*T2^7 - 17*T2^8 - 48*T1*T2^8 + 210*T1^2*T2^8 - 
     47*T1^3*T2^8 + 37*T1^4*T2^8 - 142*T1^5*T2^8 - 85*T1^6*T2^8 + 
     13*T1^7*T2^8 + 408*T1^8*T2^8 - 269*T1^9*T2^8 + 1045*T1^10*T2^8 - 
     234*T1^11*T2^8 + 389*T1^12*T2^8 - 345*T1^13*T2^8 - 80*T1^14*T2^8 + 
     316*T1^15*T2^8 + 47*T1^16*T2^8 + 31*T1*T2^9 - 89*T1^2*T2^9 - 
     198*T1^3*T2^9 + 153*T1^4*T2^9 - 133*T1^5*T2^9 + 254*T1^6*T2^9 - 
     210*T1^7*T2^9 - 269*T1^8*T2^9 - 225*T1^9*T2^9 - 387*T1^10*T2^9 - 
     588*T1^11*T2^9 + 28*T1^12*T2^9 - 101*T1^13*T2^9 + 387*T1^14*T2^9 - 
     313*T1^15*T2^9 - 165*T1^16*T2^9 - 6*T1^2*T2^10 + 232*T1^3*T2^10 + 
     51*T1^4*T2^10 - 197*T1^5*T2^10 + 293*T1^6*T2^10 - 474*T1^7*T2^10 + 
     1045*T1^8*T2^10 - 387*T1^9*T2^10 + 965*T1^10*T2^10 + 26*T1^11*T2^10 + 
     599*T1^12*T2^10 - 119*T1^13*T2^10 - 265*T1^14*T2^10 + 92*T1^15*T2^10 + 
     306*T1^16*T2^10 - 60*T1^3*T2^11 - 291*T1^4*T2^11 + 201*T1^5*T2^11 - 
     27*T1^6*T2^11 + 5*T1^7*T2^11 - 234*T1^8*T2^11 - 588*T1^9*T2^11 + 
     26*T1^10*T2^11 - 748*T1^11*T2^11 - 64*T1^12*T2^11 - 335*T1^13*T2^11 + 
     342*T1^14*T2^11 + 101*T1^15*T2^11 - 400*T1^16*T2^11 + 143*T1^4*T2^12 + 
     185*T1^5*T2^12 - 263*T1^6*T2^12 - 57*T1^7*T2^12 + 389*T1^8*T2^12 + 
     28*T1^9*T2^12 + 599*T1^10*T2^12 - 64*T1^11*T2^12 + 593*T1^12*T2^12 - 
     23*T1^13*T2^12 + 47*T1^14*T2^12 - 403*T1^15*T2^12 + 447*T1^16*T2^12 - 
     196*T1^5*T2^13 - 20*T1^6*T2^13 + 374*T1^7*T2^13 - 345*T1^8*T2^13 - 
     101*T1^9*T2^13 - 119*T1^10*T2^13 - 335*T1^11*T2^13 - 23*T1^12*T2^13 - 
     227*T1^13*T2^13 - 133*T1^14*T2^13 + 512*T1^15*T2^13 - 400*T1^16*T2^13 + 
     202*T1^6*T2^14 - 229*T1^7*T2^14 - 80*T1^8*T2^14 + 387*T1^9*T2^14 - 
     265*T1^10*T2^14 + 342*T1^11*T2^14 + 47*T1^12*T2^14 - 133*T1^13*T2^14 + 
     492*T1^14*T2^14 - 593*T1^15*T2^14 + 306*T1^16*T2^14 - 137*T1^7*T2^15 + 
     316*T1^8*T2^15 - 313*T1^9*T2^15 + 92*T1^10*T2^15 + 101*T1^11*T2^15 - 
     403*T1^12*T2^15 + 512*T1^13*T2^15 - 593*T1^14*T2^15 + 442*T1^15*T2^15 - 
     165*T1^16*T2^15 + 47*T1^8*T2^16 - 165*T1^9*T2^16 + 306*T1^10*T2^16 - 
     400*T1^11*T2^16 + 447*T1^12*T2^16 - 400*T1^13*T2^16 + 306*T1^14*T2^16 - 
     165*T1^15*T2^16 + 47*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1032] -> 
  {(4 - 16*T + 31*T^2 - 37*T^3 + 31*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-128 + 512*T1 - 996*T1^2 + 1192*T1^3 - 996*T1^4 + 512*T1^5 - 128*T1^6 + 
     512*T2 - 1792*T1*T2 + 2958*T1^2*T2 - 2766*T1^3*T2 + 1586*T1^4*T2 - 
     50*T1^5*T2 - 512*T1^6*T2 + 256*T1^7*T2 - 996*T2^2 + 2958*T1*T2^2 - 
     3714*T1^2*T2^2 + 1543*T1^3*T2^2 + 1374*T1^4*T2^2 - 3665*T1^5*T2^2 + 
     2982*T1^6*T2^2 - 1010*T1^7*T2^2 - 4*T1^8*T2^2 + 1192*T2^3 - 
     2766*T1*T2^3 + 1543*T1^2*T2^3 + 3136*T1^3*T2^3 - 6306*T1^4*T2^3 + 
     6554*T1^5*T2^3 - 1972*T1^6*T2^3 - 2301*T1^7*T2^3 + 2354*T1^8*T2^3 - 
     584*T1^9*T2^3 - 996*T2^4 + 1586*T1*T2^4 + 1374*T1^2*T2^4 - 
     6306*T1^3*T2^4 + 6619*T1^4*T2^4 - 2587*T1^5*T2^4 - 4853*T1^6*T2^4 + 
     7310*T1^7*T2^4 - 2194*T1^8*T2^4 - 1614*T1^9*T2^4 + 988*T1^10*T2^4 + 
     512*T2^5 - 50*T1*T2^5 - 3665*T1^2*T2^5 + 6554*T1^3*T2^5 - 
     2587*T1^4*T2^5 - 4713*T1^5*T2^5 + 9747*T1^6*T2^5 - 5408*T1^7*T2^5 - 
     4794*T1^8*T2^5 + 5635*T1^9*T2^5 - 882*T1^10*T2^5 - 768*T1^11*T2^5 - 
     128*T2^6 - 512*T1*T2^6 + 2982*T1^2*T2^6 - 1972*T1^3*T2^6 - 
     4853*T1^4*T2^6 + 9747*T1^5*T2^6 - 5676*T1^6*T2^6 - 4503*T1^7*T2^6 + 
     12129*T1^8*T2^6 - 4532*T1^9*T2^6 - 2738*T1^10*T2^6 + 2048*T1^11*T2^6 + 
     256*T1^12*T2^6 + 256*T1*T2^7 - 1010*T1^2*T2^7 - 2301*T1^3*T2^7 + 
     7310*T1^4*T2^7 - 5408*T1^5*T2^7 - 4503*T1^6*T2^7 + 9957*T1^7*T2^7 - 
     8229*T1^8*T2^7 - 4038*T1^9*T2^7 + 6999*T1^10*T2^7 - 1842*T1^11*T2^7 - 
     1024*T1^12*T2^7 - 4*T1^2*T2^8 + 2354*T1^3*T2^8 - 2194*T1^4*T2^8 - 
     4794*T1^5*T2^8 + 12129*T1^6*T2^8 - 8229*T1^7*T2^8 + 657*T1^8*T2^8 + 
     8822*T1^9*T2^8 - 5762*T1^10*T2^8 - 846*T1^11*T2^8 + 1980*T1^12*T2^8 - 
     584*T1^3*T2^9 - 1614*T1^4*T2^9 + 5635*T1^5*T2^9 - 4532*T1^6*T2^9 - 
     4038*T1^7*T2^9 + 8822*T1^8*T2^9 - 9640*T1^9*T2^9 + 1791*T1^10*T2^9 + 
     3506*T1^11*T2^9 - 2360*T1^12*T2^9 + 988*T1^4*T2^10 - 882*T1^5*T2^10 - 
     2738*T1^6*T2^10 + 6999*T1^7*T2^10 - 5762*T1^8*T2^10 + 1791*T1^9*T2^10 + 
     3958*T1^10*T2^10 - 4850*T1^11*T2^10 + 1980*T1^12*T2^10 - 
     768*T1^5*T2^11 + 2048*T1^6*T2^11 - 1842*T1^7*T2^11 - 846*T1^8*T2^11 + 
     3506*T1^9*T2^11 - 4850*T1^10*T2^11 + 3328*T1^11*T2^11 - 
     1024*T1^12*T2^11 + 256*T1^6*T2^12 - 1024*T1^7*T2^12 + 1980*T1^8*T2^12 - 
     2360*T1^9*T2^12 + 1980*T1^10*T2^12 - 1024*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1033] -> 
  {(4 - 14*T + 23*T^2 - 25*T^3 + 23*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (-128 + 444*T1 - 732*T1^2 + 800*T1^3 - 732*T1^4 + 444*T1^5 - 128*T1^6 + 
     444*T2 - 1322*T1*T2 + 1784*T1^2*T2 - 1524*T1^3*T2 + 1164*T1^4*T2 - 
     288*T1^5*T2 - 314*T1^6*T2 + 220*T1^7*T2 - 732*T2^2 + 1784*T1*T2^2 - 
     1623*T1^2*T2^2 + 423*T1^3*T2^2 + 289*T1^4*T2^2 - 1601*T1^5*T2^2 + 
     1873*T1^6*T2^2 - 792*T1^7*T2^2 + 4*T1^8*T2^2 + 800*T2^3 - 1524*T1*T2^3 + 
     423*T1^2*T2^3 + 1390*T1^3*T2^3 - 1718*T1^4*T2^3 + 2638*T1^5*T2^3 - 
     1824*T1^6*T2^3 - 681*T1^7*T2^3 + 1388*T1^8*T2^3 - 400*T1^9*T2^3 - 
     732*T2^4 + 1164*T1*T2^4 + 289*T1^2*T2^4 - 1718*T1^3*T2^4 + 
     1083*T1^4*T2^4 - 1665*T1^5*T2^4 + 375*T1^6*T2^4 + 2382*T1^7*T2^4 - 
     1047*T1^8*T2^4 - 1188*T1^9*T2^4 + 740*T1^10*T2^4 + 444*T2^5 - 
     288*T1*T2^5 - 1601*T1^2*T2^5 + 2638*T1^3*T2^5 - 1665*T1^4*T2^5 + 
     2299*T1^5*T2^5 - 803*T1^6*T2^5 - 1366*T1^7*T2^5 - 2230*T1^8*T2^5 + 
     3183*T1^9*T2^5 - 232*T1^10*T2^5 - 676*T1^11*T2^5 - 128*T2^6 - 
     314*T1*T2^6 + 1873*T1^2*T2^6 - 1824*T1^3*T2^6 + 375*T1^4*T2^6 - 
     803*T1^5*T2^6 - 156*T1^6*T2^6 + 1111*T1^7*T2^6 + 3085*T1^8*T2^6 - 
     1004*T1^9*T2^6 - 2663*T1^10*T2^6 + 1478*T1^11*T2^6 + 256*T1^12*T2^6 + 
     220*T1*T2^7 - 792*T1^2*T2^7 - 681*T1^3*T2^7 + 2382*T1^4*T2^7 - 
     1366*T1^5*T2^7 + 1111*T1^6*T2^7 - 1991*T1^7*T2^7 - 1067*T1^8*T2^7 - 
     2486*T1^9*T2^7 + 4103*T1^10*T2^7 - 736*T1^11*T2^7 - 900*T1^12*T2^7 + 
     4*T1^2*T2^8 + 1388*T1^3*T2^8 - 1047*T1^4*T2^8 - 2230*T1^5*T2^8 + 
     3085*T1^6*T2^8 - 1067*T1^7*T2^8 + 2377*T1^8*T2^8 + 1870*T1^9*T2^8 - 
     2383*T1^10*T2^8 - 964*T1^11*T2^8 + 1476*T1^12*T2^8 - 400*T1^3*T2^9 - 
     1188*T1^4*T2^9 + 3183*T1^5*T2^9 - 1004*T1^6*T2^9 - 2486*T1^7*T2^9 + 
     1870*T1^8*T2^9 - 4218*T1^9*T2^9 + 2079*T1^10*T2^9 + 1724*T1^11*T2^9 - 
     1600*T1^12*T2^9 + 740*T1^4*T2^10 - 232*T1^5*T2^10 - 2663*T1^6*T2^10 + 
     4103*T1^7*T2^10 - 2383*T1^8*T2^10 + 2079*T1^9*T2^10 + 833*T1^10*T2^10 - 
     2808*T1^11*T2^10 + 1476*T1^12*T2^10 - 676*T1^5*T2^11 + 1478*T1^6*T2^11 - 
     736*T1^7*T2^11 - 964*T1^8*T2^11 + 1724*T1^9*T2^11 - 2808*T1^10*T2^11 + 
     2486*T1^11*T2^11 - 900*T1^12*T2^11 + 256*T1^6*T2^12 - 900*T1^7*T2^12 + 
     1476*T1^8*T2^12 - 1600*T1^9*T2^12 + 1476*T1^10*T2^12 - 900*T1^11*T2^12 + 
     256*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1034] -> {((4 - 5*T + 2*T^2)*(2 - 5*T + 4*T^2))/T^2, 
   (-960 + 3568*T1 - 5328*T1^2 + 3568*T1^3 - 960*T1^4 + 3568*T2 - 
     11620*T1*T2 + 13744*T1^2*T2 - 4256*T1^3*T2 - 2500*T1^4*T2 + 
     1648*T1^5*T2 - 5328*T2^2 + 13744*T1*T2^2 - 6735*T1^2*T2^2 - 
     15271*T1^3*T2^2 + 19905*T1^4*T2^2 - 7856*T1^5*T2^2 + 432*T1^6*T2^2 + 
     3568*T2^3 - 4256*T1*T2^3 - 15271*T1^2*T2^3 + 41192*T1^3*T2^3 - 
     32698*T1^4*T2^3 + 3629*T1^5*T2^3 + 6544*T1^6*T2^3 - 2192*T1^7*T2^3 - 
     960*T2^4 - 2500*T1*T2^4 + 19905*T1^2*T2^4 - 32698*T1^3*T2^4 + 
     8664*T1^4*T2^4 + 26222*T1^5*T2^4 - 22575*T1^6*T2^4 + 4220*T1^7*T2^4 + 
     1088*T1^8*T2^4 + 1648*T1*T2^5 - 7856*T1^2*T2^5 + 3629*T1^3*T2^5 + 
     26222*T1^4*T2^5 - 47668*T1^5*T2^5 + 22529*T1^6*T2^5 + 2944*T1^7*T2^5 - 
     4112*T1^8*T2^5 + 432*T1^2*T2^6 + 6544*T1^3*T2^6 - 22575*T1^4*T2^6 + 
     22529*T1^5*T2^6 + 4065*T1^6*T2^6 - 15056*T1^7*T2^6 + 6192*T1^8*T2^6 - 
     2192*T1^3*T2^7 + 4220*T1^4*T2^7 + 2944*T1^5*T2^7 - 15056*T1^6*T2^7 + 
     13340*T1^7*T2^7 - 4112*T1^8*T2^7 + 1088*T1^4*T2^8 - 4112*T1^5*T2^8 + 
     6192*T1^6*T2^8 - 4112*T1^7*T2^8 + 1088*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, Alternating, 1035] -> 
  {(7 - 21*T + 32*T^2 - 35*T^3 + 32*T^4 - 21*T^5 + 7*T^6)/T^3, 
   -((2149 - 6391*T1 + 9704*T1^2 - 10599*T1^3 + 9704*T1^4 - 6391*T1^5 + 
      2149*T1^6 - 6391*T2 + 13683*T1*T2 - 12989*T1^2*T2 + 7386*T1^3*T2 - 
      2463*T1^4*T2 - 5198*T1^5*T2 + 9567*T1^6*T2 - 5362*T1^7*T2 + 9704*T2^2 - 
      12989*T1*T2^2 + 2645*T1^2*T2^2 + 5758*T1^3*T2^2 - 6805*T1^4*T2^2 + 
      12030*T1^5*T2^2 - 8555*T1^6*T2^2 - 3581*T1^7*T2^2 + 6568*T1^8*T2^2 - 
      10599*T2^3 + 7386*T1*T2^3 + 5758*T1^2*T2^3 - 6767*T1^3*T2^3 + 
      998*T1^4*T2^3 - 5071*T1^5*T2^3 - 2021*T1^6*T2^3 + 10462*T1^7*T2^3 - 
      3345*T1^8*T2^3 - 5454*T1^9*T2^3 + 9704*T2^4 - 2463*T1*T2^4 - 
      6805*T1^2*T2^4 + 998*T1^3*T2^4 + 4321*T1^4*T2^4 + 3185*T1^5*T2^4 + 
      2501*T1^6*T2^4 - 4392*T1^7*T2^4 - 4607*T1^8*T2^4 + 6063*T1^9*T2^4 + 
      3432*T1^10*T2^4 - 6391*T2^5 - 5198*T1*T2^5 + 12030*T1^2*T2^5 - 
      5071*T1^3*T2^5 + 3185*T1^4*T2^5 - 10057*T1^5*T2^5 + 1171*T1^6*T2^5 + 
      1393*T1^7*T2^5 + 2356*T1^8*T2^5 + 1054*T1^9*T2^5 - 6521*T1^10*T2^5 - 
      1246*T1^11*T2^5 + 2149*T2^6 + 9567*T1*T2^6 - 8555*T1^2*T2^6 - 
      2021*T1^3*T2^6 + 2501*T1^4*T2^6 + 1171*T1^5*T2^6 + 8820*T1^6*T2^6 - 
      8083*T1^7*T2^6 + 3633*T1^8*T2^6 - 5171*T1^9*T2^6 + 4745*T1^10*T2^6 + 
      3393*T1^11*T2^6 + 91*T1^12*T2^6 - 5362*T1*T2^7 - 3581*T1^2*T2^7 + 
      10462*T1^3*T2^7 - 4392*T1^4*T2^7 + 1393*T1^5*T2^7 - 8083*T1^6*T2^7 + 
      3145*T1^7*T2^7 - 399*T1^8*T2^7 + 3035*T1^9*T2^7 - 514*T1^10*T2^7 - 
      4904*T1^11*T2^7 - 217*T1^12*T2^7 + 6568*T1^2*T2^8 - 3345*T1^3*T2^8 - 
      4607*T1^4*T2^8 + 2356*T1^5*T2^8 + 3633*T1^6*T2^8 - 399*T1^7*T2^8 + 
      1813*T1^8*T2^8 - 3034*T1^9*T2^8 - 2409*T1^10*T2^8 + 5181*T1^11*T2^8 + 
      296*T1^12*T2^8 - 5454*T1^3*T2^9 + 6063*T1^4*T2^9 + 1054*T1^5*T2^9 - 
      5171*T1^6*T2^9 + 3035*T1^7*T2^9 - 3034*T1^8*T2^9 - 425*T1^9*T2^9 + 
      5758*T1^10*T2^9 - 4668*T1^11*T2^9 - 309*T1^12*T2^9 + 3432*T1^4*T2^10 - 
      6521*T1^5*T2^10 + 4745*T1^6*T2^10 - 514*T1^7*T2^10 - 2409*T1^8*T2^10 + 
      5758*T1^9*T2^10 - 6455*T1^10*T2^10 + 2887*T1^11*T2^10 + 
      296*T1^12*T2^10 - 1246*T1^5*T2^11 + 3393*T1^6*T2^11 - 4904*T1^7*T2^11 + 
      5181*T1^8*T2^11 - 4668*T1^9*T2^11 + 2887*T1^10*T2^11 - 
      723*T1^11*T2^11 - 217*T1^12*T2^11 + 91*T1^6*T2^12 - 217*T1^7*T2^12 + 
      296*T1^8*T2^12 - 309*T1^9*T2^12 + 296*T1^10*T2^12 - 217*T1^11*T2^12 + 
      91*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1036] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 11*T^2 - 11*T^3 + 11*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 590*T1^2 + 839*T1^3 - 921*T1^4 + 839*T1^5 - 
      590*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 1732*T1^2*T2 - 
      1666*T1^3*T2 + 1012*T1^4*T2 - 248*T1^5*T2 - 646*T1^6*T2 + 
      1112*T1^7*T2 - 924*T1^8*T2 + 243*T1^9*T2 - 590*T2^2 + 1732*T1*T2^2 - 
      577*T1^2*T2^2 - 1691*T1^3*T2^2 + 3892*T1^4*T2^2 - 4681*T1^5*T2^2 + 
      4900*T1^6*T2^2 - 3371*T1^7*T2^2 + 1019*T1^8*T2^2 + 892*T1^9*T2^2 - 
      422*T1^10*T2^2 + 839*T2^3 - 1666*T1*T2^3 - 1691*T1^2*T2^3 + 
      3950*T1^3*T2^3 - 4434*T1^4*T2^3 + 2600*T1^5*T2^3 - 1450*T1^6*T2^3 - 
      1464*T1^7*T2^3 + 3200*T1^8*T2^3 - 2951*T1^9*T2^3 - 286*T1^10*T2^3 + 
      479*T1^11*T2^3 - 921*T2^4 + 1012*T1*T2^4 + 3892*T1^2*T2^4 - 
      4434*T1^3*T2^4 + 3747*T1^4*T2^4 - 1768*T1^5*T2^4 + 2185*T1^6*T2^4 + 
      152*T1^7*T2^4 - 69*T1^8*T2^4 - 954*T1^9*T2^4 + 3436*T1^10*T2^4 - 
      428*T1^11*T2^4 - 393*T1^12*T2^4 + 839*T2^5 - 248*T1*T2^5 - 
      4681*T1^2*T2^5 + 2600*T1^3*T2^5 - 1768*T1^4*T2^5 + 528*T1^5*T2^5 - 
      2067*T1^6*T2^5 - 567*T1^7*T2^5 - 312*T1^8*T2^5 + 482*T1^9*T2^5 - 
      1630*T1^10*T2^5 - 2341*T1^11*T2^5 + 772*T1^12*T2^5 + 239*T1^13*T2^5 - 
      590*T2^6 - 646*T1*T2^6 + 4900*T1^2*T2^6 - 1450*T1^3*T2^6 + 
      2185*T1^4*T2^6 - 2067*T1^5*T2^6 + 3580*T1^6*T2^6 - 46*T1^7*T2^6 + 
      1000*T1^8*T2^6 - 147*T1^9*T2^6 + 835*T1^10*T2^6 + 2330*T1^11*T2^6 + 
      964*T1^12*T2^6 - 766*T1^13*T2^6 - 86*T1^14*T2^6 + 283*T2^7 + 
      1112*T1*T2^7 - 3371*T1^2*T2^7 - 1464*T1^3*T2^7 + 152*T1^4*T2^7 - 
      567*T1^5*T2^7 - 46*T1^6*T2^7 - 2886*T1^7*T2^7 + 264*T1^8*T2^7 - 
      166*T1^9*T2^7 - 1227*T1^10*T2^7 - 778*T1^11*T2^7 - 2394*T1^12*T2^7 + 
      409*T1^13*T2^7 + 412*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      924*T1*T2^8 + 1019*T1^2*T2^8 + 3200*T1^3*T2^8 - 69*T1^4*T2^8 - 
      312*T1^5*T2^8 + 1000*T1^6*T2^8 + 264*T1^7*T2^8 + 2952*T1^8*T2^8 - 
      2336*T1^9*T2^8 + 2356*T1^10*T2^8 - 192*T1^11*T2^8 + 2031*T1^12*T2^8 + 
      800*T1^13*T2^8 - 781*T1^14*T2^8 - 44*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 892*T1^2*T2^9 - 2951*T1^3*T2^9 - 954*T1^4*T2^9 + 
      482*T1^5*T2^9 - 147*T1^6*T2^9 - 166*T1^7*T2^9 - 2336*T1^8*T2^9 + 
      814*T1^9*T2^9 - 286*T1^10*T2^9 - 807*T1^11*T2^9 - 448*T1^12*T2^9 - 
      1884*T1^13*T2^9 + 829*T1^14*T2^9 + 192*T1^15*T2^9 - 37*T1^16*T2^9 - 
      422*T1^2*T2^10 - 286*T1^3*T2^10 + 3436*T1^4*T2^10 - 1630*T1^5*T2^10 + 
      835*T1^6*T2^10 - 1227*T1^7*T2^10 + 2356*T1^8*T2^10 - 286*T1^9*T2^10 - 
      224*T1^10*T2^10 + 693*T1^11*T2^10 - 515*T1^12*T2^10 + 
      2150*T1^13*T2^10 - 500*T1^14*T2^10 - 406*T1^15*T2^10 + 82*T1^16*T2^10 + 
      479*T1^3*T2^11 - 428*T1^4*T2^11 - 2341*T1^5*T2^11 + 2330*T1^6*T2^11 - 
      778*T1^7*T2^11 - 192*T1^8*T2^11 - 807*T1^9*T2^11 + 693*T1^10*T2^11 - 
      1032*T1^11*T2^11 + 1472*T1^12*T2^11 - 1900*T1^13*T2^11 - T1^14*T2^11 + 
      592*T1^15*T2^11 - 121*T1^16*T2^11 - 393*T1^4*T2^12 + 772*T1^5*T2^12 + 
      964*T1^6*T2^12 - 2394*T1^7*T2^12 + 2031*T1^8*T2^12 - 448*T1^9*T2^12 - 
      515*T1^10*T2^12 + 1472*T1^11*T2^12 - 1785*T1^12*T2^12 + 
      1086*T1^13*T2^12 + 508*T1^14*T2^12 - 668*T1^15*T2^12 + 
      135*T1^16*T2^12 + 239*T1^5*T2^13 - 766*T1^6*T2^13 + 409*T1^7*T2^13 + 
      800*T1^8*T2^13 - 1884*T1^9*T2^13 + 2150*T1^10*T2^13 - 
      1900*T1^11*T2^13 + 1086*T1^12*T2^13 + 50*T1^13*T2^13 - 
      851*T1^14*T2^13 + 614*T1^15*T2^13 - 121*T1^16*T2^13 - 86*T1^6*T2^14 + 
      412*T1^7*T2^14 - 781*T1^8*T2^14 + 829*T1^9*T2^14 - 500*T1^10*T2^14 - 
      T1^11*T2^14 + 508*T1^12*T2^14 - 851*T1^13*T2^14 + 815*T1^14*T2^14 - 
      428*T1^15*T2^14 + 82*T1^16*T2^14 + 3*T1^7*T2^15 - 44*T1^8*T2^15 + 
      192*T1^9*T2^15 - 406*T1^10*T2^15 + 592*T1^11*T2^15 - 668*T1^12*T2^15 + 
      614*T1^13*T2^15 - 428*T1^14*T2^15 + 196*T1^15*T2^15 - 37*T1^16*T2^15 + 
      7*T1^8*T2^16 - 37*T1^9*T2^16 + 82*T1^10*T2^16 - 121*T1^11*T2^16 + 
      135*T1^12*T2^16 - 121*T1^13*T2^16 + 82*T1^14*T2^16 - 37*T1^15*T2^16 + 
      7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1037] -> {(14 - 46*T + 65*T^2 - 46*T^3 + 14*T^4)/T^2, 
   -((12047 - 39141*T1 + 55145*T1^2 - 39141*T1^3 + 12047*T1^4 - 39141*T2 + 
      97260*T1*T2 - 81798*T1^2*T2 - 10314*T1^3*T2 + 58620*T1^4*T2 - 
      30125*T1^5*T2 + 55145*T2^2 - 81798*T1*T2^2 - 35567*T1^2*T2^2 + 
      173485*T1^3*T2^2 - 128387*T1^4*T2^2 + 1922*T1^5*T2^2 + 
      29665*T1^6*T2^2 - 39141*T2^3 - 10314*T1*T2^3 + 173485*T1^2*T2^3 - 
      206442*T1^3*T2^3 + 9528*T1^4*T2^3 + 119665*T1^5*T2^3 - 
      57326*T1^6*T2^3 - 12093*T1^7*T2^3 + 12047*T2^4 + 58620*T1*T2^4 - 
      128387*T1^2*T2^4 + 9528*T1^3*T2^4 + 189552*T1^4*T2^4 - 
      170240*T1^5*T2^4 + 15325*T1^6*T2^4 + 35436*T1^7*T2^4 + 1071*T1^8*T2^4 - 
      30125*T1*T2^5 + 1922*T1^2*T2^5 + 119665*T1^3*T2^5 - 170240*T1^4*T2^5 + 
      45730*T1^5*T2^5 + 65845*T1^6*T2^5 - 45090*T1^7*T2^5 - 3077*T1^8*T2^5 + 
      29665*T1^2*T2^6 - 57326*T1^3*T2^6 + 15325*T1^4*T2^6 + 65845*T1^5*T2^6 - 
      77495*T1^6*T2^6 + 26394*T1^7*T2^6 + 4185*T1^8*T2^6 - 12093*T1^3*T2^7 + 
      35436*T1^4*T2^7 - 45090*T1^5*T2^7 + 26394*T1^6*T2^7 - 3204*T1^7*T2^7 - 
      3077*T1^8*T2^7 + 1071*T1^4*T2^8 - 3077*T1^5*T2^8 + 4185*T1^6*T2^8 - 
      3077*T1^7*T2^8 + 1071*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1038] -> 
  {-((4 - 21*T + 45*T^2 - 57*T^3 + 45*T^4 - 21*T^5 + 4*T^6)/T^3), 
   -((-336 + 1748*T1 - 3716*T1^2 + 4696*T1^3 - 3716*T1^4 + 1748*T1^5 - 
      336*T1^6 + 1748*T2 - 7690*T1*T2 + 12032*T1^2*T2 - 8896*T1^3*T2 - 
      328*T1^4*T2 + 6488*T1^5*T2 - 5590*T1^6*T2 + 1412*T1^7*T2 - 3716*T2^2 + 
      12032*T1*T2^2 - 5438*T1^2*T2^2 - 17091*T1^3*T2^2 + 36166*T1^4*T2^2 - 
      30051*T1^5*T2^2 + 9322*T1^6*T2^2 + 4472*T1^7*T2^2 - 2276*T1^8*T2^2 + 
      4696*T2^3 - 8896*T1*T2^3 - 17091*T1^2*T2^3 + 47699*T1^3*T2^3 - 
      46314*T1^4*T2^3 + 4932*T1^5*T2^3 + 27053*T1^6*T2^3 - 24246*T1^7*T2^3 + 
      1688*T1^8*T2^3 + 1960*T1^9*T2^3 - 3716*T2^4 - 328*T1*T2^4 + 
      36166*T1^2*T2^4 - 46314*T1^3*T2^4 + 7698*T1^4*T2^4 + 47476*T1^5*T2^4 - 
      48966*T1^6*T2^4 + 10800*T1^7*T2^4 + 18292*T1^8*T2^4 - 5872*T1^9*T2^4 - 
      836*T1^10*T2^4 + 1748*T2^5 + 6488*T1*T2^5 - 30051*T1^2*T2^5 + 
      4932*T1^3*T2^5 + 47476*T1^4*T2^5 - 67556*T1^5*T2^5 + 17464*T1^6*T2^5 + 
      32221*T1^7*T2^5 - 34578*T1^8*T2^5 + 324*T1^9*T2^5 + 3968*T1^10*T2^5 + 
      68*T1^11*T2^5 - 336*T2^6 - 5590*T1*T2^6 + 9322*T1^2*T2^6 + 
      27053*T1^3*T2^6 - 48966*T1^4*T2^6 + 17464*T1^5*T2^6 + 45672*T1^6*T2^6 - 
      58028*T1^7*T2^6 + 20856*T1^8*T2^6 + 15911*T1^9*T2^6 - 7202*T1^10*T2^6 - 
      550*T1^11*T2^6 + 48*T1^12*T2^6 + 1412*T1*T2^7 + 4472*T1^2*T2^7 - 
      24246*T1^3*T2^7 + 10800*T1^4*T2^7 + 32221*T1^5*T2^7 - 58028*T1^6*T2^7 + 
      26992*T1^7*T2^7 + 16966*T1^8*T2^7 - 28710*T1^9*T2^7 + 6129*T1^10*T2^7 + 
      1952*T1^11*T2^7 - 268*T1^12*T2^7 - 2276*T1^2*T2^8 + 1688*T1^3*T2^8 + 
      18292*T1^4*T2^8 - 34578*T1^5*T2^8 + 20856*T1^6*T2^8 + 16966*T1^7*T2^8 - 
      35808*T1^8*T2^8 + 22536*T1^9*T2^8 + 418*T1^10*T2^8 - 3856*T1^11*T2^8 + 
      604*T1^12*T2^8 + 1960*T1^3*T2^9 - 5872*T1^4*T2^9 + 324*T1^5*T2^9 + 
      15911*T1^6*T2^9 - 28710*T1^7*T2^9 + 22536*T1^8*T2^9 - 4735*T1^9*T2^9 - 
      6831*T1^10*T2^9 + 4712*T1^11*T2^9 - 776*T1^12*T2^9 - 836*T1^4*T2^10 + 
      3968*T1^5*T2^10 - 7202*T1^6*T2^10 + 6129*T1^7*T2^10 + 418*T1^8*T2^10 - 
      6831*T1^9*T2^10 + 7558*T1^10*T2^10 - 3592*T1^11*T2^10 + 
      604*T1^12*T2^10 + 68*T1^5*T2^11 - 550*T1^6*T2^11 + 1952*T1^7*T2^11 - 
      3856*T1^8*T2^11 + 4712*T1^9*T2^11 - 3592*T1^10*T2^11 + 
      1550*T1^11*T2^11 - 268*T1^12*T2^11 + 48*T1^6*T2^12 - 268*T1^7*T2^12 + 
      604*T1^8*T2^12 - 776*T1^9*T2^12 + 604*T1^10*T2^12 - 268*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1039] -> 
  {(1 - 7*T + 17*T^2 - 27*T^3 + 33*T^4 - 27*T^5 + 17*T^6 - 7*T^7 + T^8)/T^4, 
   ((1 - 7*T1 + 17*T1^2 - 27*T1^3 + 33*T1^4 - 27*T1^5 + 17*T1^6 - 7*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 21*T1*T2 + 38*T1^2*T2^2 - 48*T1^3*T2^3 + 
      38*T1^4*T2^4 - 21*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 7*T2 + 17*T2^2 - 
      27*T2^3 + 33*T2^4 - 27*T2^5 + 17*T2^6 - 7*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 1040] -> 
  {(2 - 13*T + 27*T^2 - 31*T^3 + 27*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-17 + 111*T1 - 231*T1^2 + 265*T1^3 - 231*T1^4 + 111*T1^5 - 17*T1^6 + 
     111*T2 - 666*T1*T2 + 1122*T1^2*T2 - 924*T1^3*T2 + 584*T1^4*T2 + 
     82*T1^5*T2 - 276*T1^6*T2 + 59*T1^7*T2 - 231*T2^2 + 1122*T1*T2^2 - 
     593*T1^2*T2^2 - 1637*T1^3*T2^2 + 2745*T1^4*T2^2 - 3581*T1^5*T2^2 + 
     2107*T1^6*T2^2 - 282*T1^7*T2^2 - 15*T1^8*T2^2 + 265*T2^3 - 924*T1*T2^3 - 
     1637*T1^2*T2^3 + 5997*T1^3*T2^3 - 6629*T1^4*T2^3 + 6289*T1^5*T2^3 - 
     1905*T1^6*T2^3 - 1394*T1^7*T2^3 + 792*T1^8*T2^3 - 107*T1^9*T2^3 - 
     231*T2^4 + 584*T1*T2^4 + 2745*T1^2*T2^4 - 6629*T1^3*T2^4 + 
     4544*T1^4*T2^4 - 1832*T1^5*T2^4 - 4564*T1^6*T2^4 + 6825*T1^7*T2^4 - 
     1901*T1^8*T2^4 - 612*T1^9*T2^4 + 201*T1^10*T2^4 + 111*T2^5 + 
     82*T1*T2^5 - 3581*T1^2*T2^5 + 6289*T1^3*T2^5 - 1832*T1^4*T2^5 - 
     1946*T1^5*T2^5 + 6430*T1^6*T2^5 - 4073*T1^7*T2^5 - 5557*T1^8*T2^5 + 
     4924*T1^9*T2^5 - 334*T1^10*T2^5 - 149*T1^11*T2^5 - 17*T2^6 - 
     276*T1*T2^6 + 2107*T1^2*T2^6 - 1905*T1^3*T2^6 - 4564*T1^4*T2^6 + 
     6430*T1^5*T2^6 - 3624*T1^6*T2^6 - 3226*T1^7*T2^6 + 11578*T1^8*T2^6 - 
     3351*T1^9*T2^6 - 3117*T1^10*T2^6 + 764*T1^11*T2^6 + 31*T1^12*T2^6 + 
     59*T1*T2^7 - 282*T1^2*T2^7 - 1394*T1^3*T2^7 + 6825*T1^4*T2^7 - 
     4073*T1^5*T2^7 - 3226*T1^6*T2^7 + 5150*T1^7*T2^7 - 6314*T1^8*T2^7 - 
     5021*T1^9*T2^7 + 7111*T1^10*T2^7 - 698*T1^11*T2^7 - 201*T1^12*T2^7 - 
     15*T1^2*T2^8 + 792*T1^3*T2^8 - 1901*T1^4*T2^8 - 5557*T1^5*T2^8 + 
     11578*T1^6*T2^8 - 6314*T1^7*T2^8 + 2470*T1^8*T2^8 + 7897*T1^9*T2^8 - 
     6547*T1^10*T2^8 - 404*T1^11*T2^8 + 417*T1^12*T2^8 - 107*T1^3*T2^9 - 
     612*T1^4*T2^9 + 4924*T1^5*T2^9 - 3351*T1^6*T2^9 - 5021*T1^7*T2^9 + 
     7897*T1^8*T2^9 - 11253*T1^9*T2^9 + 5167*T1^10*T2^9 + 1104*T1^11*T2^9 - 
     479*T1^12*T2^9 + 201*T1^4*T2^10 - 334*T1^5*T2^10 - 3117*T1^6*T2^10 + 
     7111*T1^7*T2^10 - 6547*T1^8*T2^10 + 5167*T1^9*T2^10 - 417*T1^10*T2^10 - 
     1738*T1^11*T2^10 + 417*T1^12*T2^10 - 149*T1^5*T2^11 + 764*T1^6*T2^11 - 
     698*T1^7*T2^11 - 404*T1^8*T2^11 + 1104*T1^9*T2^11 - 1738*T1^10*T2^11 + 
     1154*T1^11*T2^11 - 201*T1^12*T2^11 + 31*T1^6*T2^12 - 201*T1^7*T2^12 + 
     417*T1^8*T2^12 - 479*T1^9*T2^12 + 417*T1^10*T2^12 - 201*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1041] -> 
  {(2 - 12*T + 33*T^2 - 54*T^3 + 63*T^4 - 54*T^5 + 33*T^6 - 12*T^7 + 2*T^8)/
    T^4, (-49 + 292*T1 - 798*T1^2 + 1298*T1^3 - 1511*T1^4 + 1298*T1^5 - 
     798*T1^6 + 292*T1^7 - 49*T1^8 + 292*T2 - 1498*T1*T2 + 3312*T1^2*T2 - 
     3788*T1^3*T2 + 2574*T1^4*T2 - 234*T1^5*T2 - 1700*T1^6*T2 + 
     2232*T1^7*T2 - 1162*T1^8*T2 + 244*T1^9*T2 - 798*T2^2 + 3312*T1*T2^2 - 
     4902*T1^2*T2^2 + 672*T1^3*T2^2 + 5308*T1^4*T2^2 - 9774*T1^5*T2^2 + 
     9268*T1^6*T2^2 - 4872*T1^7*T2^2 - 810*T1^8*T2^2 + 1728*T1^9*T2^2 - 
     534*T1^10*T2^2 + 1298*T2^3 - 3788*T1*T2^3 + 672*T1^2*T2^3 + 
     12182*T1^3*T2^3 - 17879*T1^4*T2^3 + 14957*T1^5*T2^3 - 3187*T1^6*T2^3 - 
     7727*T1^7*T2^3 + 12506*T1^8*T2^3 - 4476*T1^9*T2^3 - 692*T1^10*T2^3 + 
     650*T1^11*T2^3 - 1511*T2^4 + 2574*T1*T2^4 + 5308*T1^2*T2^4 - 
     17879*T1^3*T2^4 + 6522*T1^4*T2^4 + 11361*T1^5*T2^4 - 28580*T1^6*T2^4 + 
     29073*T1^7*T2^4 - 17166*T1^8*T2^4 - 4919*T1^9*T2^4 + 6388*T1^10*T2^4 - 
     882*T1^11*T2^4 - 503*T1^12*T2^4 + 1298*T2^5 - 234*T1*T2^5 - 
     9774*T1^2*T2^5 + 14957*T1^3*T2^5 + 11361*T1^4*T2^5 - 25416*T1^5*T2^5 + 
     27234*T1^6*T2^5 - 8244*T1^7*T2^5 - 10242*T1^8*T2^5 + 24159*T1^9*T2^5 - 
     5779*T1^10*T2^5 - 3942*T1^11*T2^5 + 1710*T1^12*T2^5 + 218*T1^13*T2^5 - 
     798*T2^6 - 1700*T1*T2^6 + 9268*T1^2*T2^6 - 3187*T1^3*T2^6 - 
     28580*T1^4*T2^6 + 27234*T1^5*T2^6 - 14972*T1^6*T2^6 - 7226*T1^7*T2^6 + 
     13180*T1^8*T2^6 - 10674*T1^9*T2^6 - 14702*T1^10*T2^6 + 
     11069*T1^11*T2^6 - 452*T1^12*T2^6 - 1268*T1^13*T2^6 - 6*T1^14*T2^6 + 
     292*T2^7 + 2232*T1*T2^7 - 4872*T1^2*T2^7 - 7727*T1^3*T2^7 + 
     29073*T1^4*T2^7 - 8244*T1^5*T2^7 - 7226*T1^6*T2^7 + 15796*T1^7*T2^7 - 
     3884*T1^8*T2^7 - 6866*T1^9*T2^7 + 22374*T1^10*T2^7 - 3381*T1^11*T2^7 - 
     6647*T1^12*T2^7 + 2652*T1^13*T2^7 + 288*T1^14*T2^7 - 44*T1^15*T2^7 - 
     49*T2^8 - 1162*T1*T2^8 - 810*T1^2*T2^8 + 12506*T1^3*T2^8 - 
     17166*T1^4*T2^8 - 10242*T1^5*T2^8 + 13180*T1^6*T2^8 - 3884*T1^7*T2^8 - 
     12396*T1^8*T2^8 + 14524*T1^9*T2^8 - 11648*T1^10*T2^8 - 
     11970*T1^11*T2^8 + 11958*T1^12*T2^8 - 1318*T1^13*T2^8 - 
     1410*T1^14*T2^8 + 182*T1^15*T2^8 + 15*T1^16*T2^8 + 244*T1*T2^9 + 
     1728*T1^2*T2^9 - 4476*T1^3*T2^9 - 4919*T1^4*T2^9 + 24159*T1^5*T2^9 - 
     10674*T1^6*T2^9 - 6866*T1^7*T2^9 + 14524*T1^8*T2^9 - 5156*T1^9*T2^9 - 
     6506*T1^10*T2^9 + 19944*T1^11*T2^9 - 8295*T1^12*T2^9 - 3839*T1^13*T2^9 + 
     3048*T1^14*T2^9 - 216*T1^15*T2^9 - 92*T1^16*T2^9 - 534*T1^2*T2^10 - 
     692*T1^3*T2^10 + 6388*T1^4*T2^10 - 5779*T1^5*T2^10 - 14702*T1^6*T2^10 + 
     22374*T1^7*T2^10 - 11648*T1^8*T2^10 - 6506*T1^9*T2^10 + 
     16504*T1^10*T2^10 - 15534*T1^11*T2^10 - 824*T1^12*T2^10 + 
     8477*T1^13*T2^10 - 3332*T1^14*T2^10 - 260*T1^15*T2^10 + 
     258*T1^16*T2^10 + 650*T1^3*T2^11 - 882*T1^4*T2^11 - 3942*T1^5*T2^11 + 
     11069*T1^6*T2^11 - 3381*T1^7*T2^11 - 11970*T1^8*T2^11 + 
     19944*T1^9*T2^11 - 15534*T1^10*T2^11 + 3204*T1^11*T2^11 + 
     9417*T1^12*T2^11 - 9667*T1^13*T2^11 + 1890*T1^14*T2^11 + 
     1062*T1^15*T2^11 - 430*T1^16*T2^11 - 503*T1^4*T2^12 + 1710*T1^5*T2^12 - 
     452*T1^6*T2^12 - 6647*T1^7*T2^12 + 11958*T1^8*T2^12 - 8295*T1^9*T2^12 - 
     824*T1^10*T2^12 + 9417*T1^11*T2^12 - 11730*T1^12*T2^12 + 
     6313*T1^13*T2^12 + 628*T1^14*T2^12 - 1746*T1^15*T2^12 + 
     505*T1^16*T2^12 + 218*T1^5*T2^13 - 1268*T1^6*T2^13 + 2652*T1^7*T2^13 - 
     1318*T1^8*T2^13 - 3839*T1^9*T2^13 + 8477*T1^10*T2^13 - 
     9667*T1^11*T2^13 + 6313*T1^12*T2^13 - 994*T1^13*T2^13 - 
     2496*T1^14*T2^13 + 1828*T1^15*T2^13 - 430*T1^16*T2^13 - 6*T1^6*T2^14 + 
     288*T1^7*T2^14 - 1410*T1^8*T2^14 + 3048*T1^9*T2^14 - 3332*T1^10*T2^14 + 
     1890*T1^11*T2^14 + 628*T1^12*T2^14 - 2496*T1^13*T2^14 + 
     2682*T1^14*T2^14 - 1296*T1^15*T2^14 + 258*T1^16*T2^14 - 44*T1^7*T2^15 + 
     182*T1^8*T2^15 - 216*T1^9*T2^15 - 260*T1^10*T2^15 + 1062*T1^11*T2^15 - 
     1746*T1^12*T2^15 + 1828*T1^13*T2^15 - 1296*T1^14*T2^15 + 
     518*T1^15*T2^15 - 92*T1^16*T2^15 + 15*T1^8*T2^16 - 92*T1^9*T2^16 + 
     258*T1^10*T2^16 - 430*T1^11*T2^16 + 505*T1^12*T2^16 - 430*T1^13*T2^16 + 
     258*T1^14*T2^16 - 92*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1042] -> 
  {(2 - 11*T + 30*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 30*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-33 + 180*T1 - 489*T1^2 + 847*T1^3 - 1027*T1^4 + 847*T1^5 - 
     489*T1^6 + 180*T1^7 - 33*T1^8 + 180*T2 - 846*T1*T2 + 1926*T1^2*T2 - 
     2608*T1^3*T2 + 2122*T1^4*T2 - 408*T1^5*T2 - 804*T1^6*T2 + 1024*T1^7*T2 - 
     560*T1^8*T2 + 136*T1^9*T2 - 489*T2^2 + 1926*T1*T2^2 - 3454*T1^2*T2^2 + 
     2956*T1^3*T2^2 + 23*T1^4*T2^2 - 4002*T1^5*T2^2 + 3983*T1^6*T2^2 - 
     1964*T1^7*T2^2 - 94*T1^8*T2^2 + 606*T1^9*T2^2 - 249*T1^10*T2^2 + 
     847*T2^3 - 2608*T1*T2^3 + 2956*T1^2*T2^3 + 768*T1^3*T2^3 - 
     6166*T1^4*T2^3 + 9351*T1^5*T2^3 - 3015*T1^6*T2^3 - 2194*T1^7*T2^3 + 
     4086*T1^8*T2^3 - 2114*T1^9*T2^3 + 164*T1^10*T2^3 + 223*T1^11*T2^3 - 
     1027*T2^4 + 2122*T1*T2^4 + 23*T1^2*T2^4 - 6166*T1^3*T2^4 + 
     9443*T1^4*T2^4 - 6307*T1^5*T2^4 - 8225*T1^6*T2^4 + 10781*T1^7*T2^4 - 
     6717*T1^8*T2^4 - 342*T1^9*T2^4 + 2559*T1^10*T2^4 - 1134*T1^11*T2^4 - 
     19*T1^12*T2^4 + 847*T2^5 - 408*T1*T2^5 - 4002*T1^2*T2^5 + 
     9351*T1^3*T2^5 - 6307*T1^4*T2^5 - 3747*T1^5*T2^5 + 19810*T1^6*T2^5 - 
     10432*T1^7*T2^5 - 1593*T1^8*T2^5 + 9239*T1^9*T2^5 - 5699*T1^10*T2^5 + 
     147*T1^11*T2^5 + 1154*T1^12*T2^5 - 193*T1^13*T2^5 - 489*T2^6 - 
     804*T1*T2^6 + 3983*T1^2*T2^6 - 3015*T1^3*T2^6 - 8225*T1^4*T2^6 + 
     19810*T1^5*T2^6 - 25150*T1^6*T2^6 - 1456*T1^7*T2^6 + 15862*T1^8*T2^6 - 
     14322*T1^9*T2^6 + 1319*T1^10*T2^6 + 5325*T1^11*T2^6 - 2825*T1^12*T2^6 - 
     188*T1^13*T2^6 + 231*T1^14*T2^6 + 180*T2^7 + 1024*T1*T2^7 - 
     1964*T1^2*T2^7 - 2194*T1^3*T2^7 + 10781*T1^4*T2^7 - 10432*T1^5*T2^7 - 
     1456*T1^6*T2^7 + 31014*T1^7*T2^7 - 27614*T1^8*T2^7 + 5336*T1^9*T2^7 + 
     12030*T1^10*T2^7 - 10933*T1^11*T2^7 + 1242*T1^12*T2^7 + 
     2206*T1^13*T2^7 - 582*T1^14*T2^7 - 128*T1^15*T2^7 - 33*T2^8 - 
     560*T1*T2^8 - 94*T1^2*T2^8 + 4086*T1^3*T2^8 - 6717*T1^4*T2^8 - 
     1593*T1^5*T2^8 + 15862*T1^6*T2^8 - 27614*T1^7*T2^8 + 3852*T1^8*T2^8 + 
     23226*T1^9*T2^8 - 23058*T1^10*T2^8 + 6705*T1^11*T2^8 + 6059*T1^12*T2^8 - 
     4582*T1^13*T2^8 + 80*T1^14*T2^8 + 540*T1^15*T2^8 + 31*T1^16*T2^8 + 
     136*T1*T2^9 + 606*T1^2*T2^9 - 2114*T1^3*T2^9 - 342*T1^4*T2^9 + 
     9239*T1^5*T2^9 - 14322*T1^6*T2^9 + 5336*T1^7*T2^9 + 23226*T1^8*T2^9 - 
     35402*T1^9*T2^9 + 12128*T1^10*T2^9 + 8140*T1^11*T2^9 - 
     12475*T1^12*T2^9 + 3094*T1^13*T2^9 + 2056*T1^14*T2^9 - 1000*T1^15*T2^9 - 
     172*T1^16*T2^9 - 249*T1^2*T2^10 + 164*T1^3*T2^10 + 2559*T1^4*T2^10 - 
     5699*T1^5*T2^10 + 1319*T1^6*T2^10 + 12030*T1^7*T2^10 - 
     23058*T1^8*T2^10 + 12128*T1^9*T2^10 + 17954*T1^10*T2^10 - 
     22102*T1^11*T2^10 + 10863*T1^12*T2^10 + 2641*T1^13*T2^10 - 
     4249*T1^14*T2^10 + 780*T1^15*T2^10 + 471*T1^16*T2^10 + 223*T1^3*T2^11 - 
     1134*T1^4*T2^11 + 147*T1^5*T2^11 + 5325*T1^6*T2^11 - 10933*T1^7*T2^11 + 
     6705*T1^8*T2^11 + 8140*T1^9*T2^11 - 22102*T1^10*T2^11 + 
     8859*T1^11*T2^11 + 4613*T1^12*T2^11 - 9725*T1^13*T2^11 + 
     4296*T1^14*T2^11 + 428*T1^15*T2^11 - 817*T1^16*T2^11 - 19*T1^4*T2^12 + 
     1154*T1^5*T2^12 - 2825*T1^6*T2^12 + 1242*T1^7*T2^12 + 6059*T1^8*T2^12 - 
     12475*T1^9*T2^12 + 10863*T1^10*T2^12 + 4613*T1^11*T2^12 - 
     10101*T1^12*T2^12 + 7066*T1^13*T2^12 - 289*T1^14*T2^12 - 
     2102*T1^15*T2^12 + 989*T1^16*T2^12 - 193*T1^5*T2^13 - 188*T1^6*T2^13 + 
     2206*T1^7*T2^13 - 4582*T1^8*T2^13 + 3094*T1^9*T2^13 + 2641*T1^10*T2^13 - 
     9725*T1^11*T2^13 + 7066*T1^12*T2^13 - 1264*T1^13*T2^13 - 
     2864*T1^14*T2^13 + 2584*T1^15*T2^13 - 817*T1^16*T2^13 + 231*T1^6*T2^14 - 
     582*T1^7*T2^14 + 80*T1^8*T2^14 + 2056*T1^9*T2^14 - 4249*T1^10*T2^14 + 
     4296*T1^11*T2^14 - 289*T1^12*T2^14 - 2864*T1^13*T2^14 + 
     3440*T1^14*T2^14 - 1902*T1^15*T2^14 + 471*T1^16*T2^14 - 128*T1^7*T2^15 + 
     540*T1^8*T2^15 - 1000*T1^9*T2^15 + 780*T1^10*T2^15 + 428*T1^11*T2^15 - 
     2102*T1^12*T2^15 + 2584*T1^13*T2^15 - 1902*T1^14*T2^15 + 
     826*T1^15*T2^15 - 172*T1^16*T2^15 + 31*T1^8*T2^16 - 172*T1^9*T2^16 + 
     471*T1^10*T2^16 - 817*T1^11*T2^16 + 989*T1^12*T2^16 - 817*T1^13*T2^16 + 
     471*T1^14*T2^16 - 172*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1043] -> 
  {((1 - T + T^2)*(4 - 17*T + 27*T^2 - 17*T^3 + 4*T^4))/T^3, 
   (-256 + 1332*T1 - 3020*T1^2 + 3824*T1^3 - 3020*T1^4 + 1332*T1^5 - 
     256*T1^6 + 1332*T2 - 5940*T1*T2 + 10562*T1^2*T2 - 8228*T1^3*T2 + 
     928*T1^4*T2 + 4766*T1^5*T2 - 3840*T1^6*T2 + 996*T1^7*T2 - 3020*T2^2 + 
     10562*T1*T2^2 - 10257*T1^2*T2^2 - 8135*T1^3*T2^2 + 24353*T1^4*T2^2 - 
     23495*T1^5*T2^2 + 6639*T1^6*T2^2 + 2498*T1^7*T2^2 - 1484*T1^8*T2^2 + 
     3824*T2^3 - 8228*T1*T2^3 - 8135*T1^2*T2^3 + 42218*T1^3*T2^3 - 
     44812*T1^4*T2^3 + 14552*T1^5*T2^3 + 20246*T1^6*T2^3 - 18071*T1^7*T2^3 + 
     3112*T1^8*T2^3 + 896*T1^9*T2^3 - 3020*T2^4 + 928*T1*T2^4 + 
     24353*T1^2*T2^4 - 44812*T1^3*T2^4 + 6351*T1^4*T2^4 + 46285*T1^5*T2^4 - 
     62337*T1^6*T2^4 + 21068*T1^7*T2^4 + 7415*T1^8*T2^4 - 4952*T1^9*T2^4 + 
     52*T1^10*T2^4 + 1332*T2^5 + 4766*T1*T2^5 - 23495*T1^2*T2^5 + 
     14552*T1^3*T2^5 + 46285*T1^4*T2^5 - 76904*T1^5*T2^5 + 44092*T1^6*T2^5 + 
     20653*T1^7*T2^5 - 31780*T1^8*T2^5 + 8137*T1^9*T2^5 + 1490*T1^10*T2^5 - 
     348*T1^11*T2^5 - 256*T2^6 - 3840*T1*T2^6 + 6639*T1^2*T2^6 + 
     20246*T1^3*T2^6 - 62337*T1^4*T2^6 + 44092*T1^5*T2^6 + 21132*T1^6*T2^6 - 
     64628*T1^7*T2^6 + 37419*T1^8*T2^6 + 2294*T1^9*T2^6 - 7365*T1^10*T2^6 + 
     1200*T1^11*T2^6 + 128*T1^12*T2^6 + 996*T1*T2^7 + 2498*T1^2*T2^7 - 
     18071*T1^3*T2^7 + 21068*T1^4*T2^7 + 20653*T1^5*T2^7 - 64628*T1^6*T2^7 + 
     56368*T1^7*T2^7 - 4979*T1^8*T2^7 - 25264*T1^9*T2^7 + 13561*T1^10*T2^7 - 
     778*T1^11*T2^7 - 684*T1^12*T2^7 - 1484*T1^2*T2^8 + 3112*T1^3*T2^8 + 
     7415*T1^4*T2^8 - 31780*T1^5*T2^8 + 37419*T1^6*T2^8 - 4979*T1^7*T2^8 - 
     31269*T1^8*T2^8 + 34100*T1^9*T2^8 - 9523*T1^10*T2^8 - 2768*T1^11*T2^8 + 
     1588*T1^12*T2^8 + 896*T1^3*T2^9 - 4952*T1^4*T2^9 + 8137*T1^5*T2^9 + 
     2294*T1^6*T2^9 - 25264*T1^7*T2^9 + 34100*T1^8*T2^9 - 19678*T1^9*T2^9 - 
     1799*T1^10*T2^9 + 6388*T1^11*T2^9 - 2032*T1^12*T2^9 + 52*T1^4*T2^10 + 
     1490*T1^5*T2^10 - 7365*T1^6*T2^10 + 13561*T1^7*T2^10 - 9523*T1^8*T2^10 - 
     1799*T1^9*T2^10 + 9531*T1^10*T2^10 - 6574*T1^11*T2^10 + 
     1588*T1^12*T2^10 - 348*T1^5*T2^11 + 1200*T1^6*T2^11 - 778*T1^7*T2^11 - 
     2768*T1^8*T2^11 + 6388*T1^9*T2^11 - 6574*T1^10*T2^11 + 
     3300*T1^11*T2^11 - 684*T1^12*T2^11 + 128*T1^6*T2^12 - 684*T1^7*T2^12 + 
     1588*T1^8*T2^12 - 2032*T1^9*T2^12 + 1588*T1^10*T2^12 - 684*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1044] -> 
  {(3 - 18*T + 46*T^2 - 61*T^3 + 46*T^4 - 18*T^5 + 3*T^6)/T^3, 
   (-117 + 696*T1 - 1772*T1^2 + 2345*T1^3 - 1772*T1^4 + 696*T1^5 - 117*T1^6 + 
     696*T2 - 3606*T1*T2 + 7370*T1^2*T2 - 5892*T1^3*T2 - 114*T1^4*T2 + 
     3914*T1^5*T2 - 2472*T1^6*T2 + 534*T1^7*T2 - 1772*T2^2 + 7370*T1*T2^2 - 
     8937*T1^2*T2^2 - 6831*T1^3*T2^2 + 22427*T1^4*T2^2 - 18699*T1^5*T2^2 + 
     2931*T1^6*T2^2 + 2402*T1^7*T2^2 - 944*T1^8*T2^2 + 2345*T2^3 - 
     5892*T1*T2^3 - 6831*T1^2*T2^3 + 42589*T1^3*T2^3 - 46059*T1^4*T2^3 + 
     7401*T1^5*T2^3 + 24733*T1^6*T2^3 - 14697*T1^7*T2^3 + 1506*T1^8*T2^3 + 
     698*T1^9*T2^3 - 1772*T2^4 - 114*T1*T2^4 + 22427*T1^2*T2^4 - 
     46059*T1^3*T2^4 - 2435*T1^4*T2^4 + 71051*T1^5*T2^4 - 73127*T1^6*T2^4 + 
     14697*T1^7*T2^4 + 8291*T1^8*T2^4 - 3462*T1^9*T2^4 - 116*T1^10*T2^4 + 
     696*T2^5 + 3914*T1*T2^5 - 18699*T1^2*T2^5 + 7401*T1^3*T2^5 + 
     71051*T1^4*T2^5 - 105560*T1^5*T2^5 + 41376*T1^6*T2^5 + 38023*T1^7*T2^5 - 
     31467*T1^8*T2^5 + 5175*T1^9*T2^5 + 1322*T1^10*T2^5 - 114*T1^11*T2^5 - 
     117*T2^6 - 2472*T1*T2^6 + 2931*T1^2*T2^6 + 24733*T1^3*T2^6 - 
     73127*T1^4*T2^6 + 41376*T1^5*T2^6 + 49188*T1^6*T2^6 - 85844*T1^7*T2^6 + 
     32277*T1^8*T2^6 + 4879*T1^9*T2^6 - 5217*T1^10*T2^6 + 444*T1^11*T2^6 + 
     45*T1^12*T2^6 + 534*T1*T2^7 + 2402*T1^2*T2^7 - 14697*T1^3*T2^7 + 
     14697*T1^4*T2^7 + 38023*T1^5*T2^7 - 85844*T1^6*T2^7 + 61092*T1^7*T2^7 + 
     4995*T1^8*T2^7 - 24171*T1^9*T2^7 + 9177*T1^10*T2^7 - 190*T1^11*T2^7 - 
     276*T1^12*T2^7 - 944*T1^2*T2^8 + 1506*T1^3*T2^8 + 8291*T1^4*T2^8 - 
     31467*T1^5*T2^8 + 32277*T1^6*T2^8 + 4995*T1^7*T2^8 - 38415*T1^8*T2^8 + 
     29289*T1^9*T2^8 - 5845*T1^10*T2^8 - 1842*T1^11*T2^8 + 712*T1^12*T2^8 + 
     698*T1^3*T2^9 - 3462*T1^4*T2^9 + 5175*T1^5*T2^9 + 4879*T1^6*T2^9 - 
     24171*T1^7*T2^9 + 29289*T1^8*T2^9 - 12977*T1^9*T2^9 - 2691*T1^10*T2^9 + 
     3936*T1^11*T2^9 - 949*T1^12*T2^9 - 116*T1^4*T2^10 + 1322*T1^5*T2^10 - 
     5217*T1^6*T2^10 + 9177*T1^7*T2^10 - 5845*T1^8*T2^10 - 2691*T1^9*T2^10 + 
     6651*T1^10*T2^10 - 3646*T1^11*T2^10 + 712*T1^12*T2^10 - 114*T1^5*T2^11 + 
     444*T1^6*T2^11 - 190*T1^7*T2^11 - 1842*T1^8*T2^11 + 3936*T1^9*T2^11 - 
     3646*T1^10*T2^11 + 1578*T1^11*T2^11 - 276*T1^12*T2^11 + 45*T1^6*T2^12 - 
     276*T1^7*T2^12 + 712*T1^8*T2^12 - 949*T1^9*T2^12 + 712*T1^10*T2^12 - 
     276*T1^11*T2^12 + 45*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1045] -> 
  {((1 - 6*T + 9*T^2 - 6*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4, 
   (-6 + 48*T1 - 132*T1^2 + 192*T1^3 - 210*T1^4 + 192*T1^5 - 132*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 735*T1^2*T2 - 655*T1^3*T2 + 
     400*T1^4*T2 - 136*T1^5*T2 - 223*T1^6*T2 + 495*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 132*T2^2 + 735*T1*T2^2 - 440*T1^2*T2^2 - 2059*T1^3*T2^2 + 
     3602*T1^4*T2^2 - 4076*T1^5*T2^2 + 4174*T1^6*T2^2 - 3115*T1^7*T2^2 + 
     484*T1^8*T2^2 + 383*T1^9*T2^2 - 88*T1^10*T2^2 + 192*T2^3 - 655*T1*T2^3 - 
     2059*T1^2*T2^3 + 7524*T1^3*T2^3 - 6670*T1^4*T2^3 + 4254*T1^5*T2^3 - 
     2354*T1^6*T2^3 - 1294*T1^7*T2^3 + 5412*T1^8*T2^3 - 2587*T1^9*T2^3 - 
     63*T1^10*T2^3 + 96*T1^11*T2^3 - 210*T2^4 + 400*T1*T2^4 + 
     3602*T1^2*T2^4 - 6670*T1^3*T2^4 - 2576*T1^4*T2^4 + 7568*T1^5*T2^4 - 
     8714*T1^6*T2^4 + 10864*T1^7*T2^4 - 10104*T1^8*T2^4 - 398*T1^9*T2^4 + 
     2586*T1^10*T2^4 - 208*T1^11*T2^4 - 70*T1^12*T2^4 + 192*T2^5 - 
     136*T1*T2^5 - 4076*T1^2*T2^5 + 4254*T1^3*T2^5 + 7568*T1^4*T2^5 - 
     6650*T1^5*T2^5 + 3276*T1^6*T2^5 - 3332*T1^7*T2^5 + 526*T1^8*T2^5 + 
     8568*T1^9*T2^5 - 2770*T1^10*T2^5 - 1580*T1^11*T2^5 + 304*T1^12*T2^5 + 
     32*T1^13*T2^5 - 132*T2^6 - 223*T1*T2^6 + 4174*T1^2*T2^6 - 
     2354*T1^3*T2^6 - 8714*T1^4*T2^6 + 3276*T1^5*T2^6 - 454*T1^6*T2^6 + 
     3024*T1^7*T2^6 - 2238*T1^8*T2^6 - 3092*T1^9*T2^6 - 4522*T1^10*T2^6 + 
     3630*T1^11*T2^6 + 426*T1^12*T2^6 - 255*T1^13*T2^6 + 48*T2^7 + 
     495*T1*T2^7 - 3115*T1^2*T2^7 - 1294*T1^3*T2^7 + 10864*T1^4*T2^7 - 
     3332*T1^5*T2^7 + 3024*T1^6*T2^7 - 7588*T1^7*T2^7 + 5524*T1^8*T2^7 + 
     496*T1^9*T2^7 + 3756*T1^10*T2^7 + 680*T1^11*T2^7 - 3086*T1^12*T2^7 + 
     581*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     484*T1^2*T2^8 + 5412*T1^3*T2^8 - 10104*T1^4*T2^8 + 526*T1^5*T2^8 - 
     2238*T1^6*T2^8 + 5524*T1^7*T2^8 + 720*T1^8*T2^8 - 6316*T1^9*T2^8 + 
     2322*T1^10*T2^8 - 5234*T1^11*T2^8 + 4096*T1^12*T2^8 + 164*T1^13*T2^8 - 
     476*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     383*T1^2*T2^9 - 2587*T1^3*T2^9 - 398*T1^4*T2^9 + 8568*T1^5*T2^9 - 
     3092*T1^6*T2^9 + 496*T1^7*T2^9 - 6316*T1^8*T2^9 + 6796*T1^9*T2^9 - 
     2032*T1^10*T2^9 + 3996*T1^11*T2^9 - 1616*T1^12*T2^9 - 2190*T1^13*T2^9 + 
     1109*T1^14*T2^9 - 49*T1^15*T2^9 - 16*T1^16*T2^9 - 88*T1^2*T2^10 - 
     63*T1^3*T2^10 + 2586*T1^4*T2^10 - 2770*T1^5*T2^10 - 4522*T1^6*T2^10 + 
     3756*T1^7*T2^10 + 2322*T1^8*T2^10 - 2032*T1^9*T2^10 + 538*T1^10*T2^10 - 
     2612*T1^11*T2^10 - 330*T1^12*T2^10 + 3214*T1^13*T2^10 - 
     1162*T1^14*T2^10 - 95*T1^15*T2^10 + 44*T1^16*T2^10 + 96*T1^3*T2^11 - 
     208*T1^4*T2^11 - 1580*T1^5*T2^11 + 3630*T1^6*T2^11 + 680*T1^7*T2^11 - 
     5234*T1^8*T2^11 + 3996*T1^9*T2^11 - 2612*T1^10*T2^11 + 
     1942*T1^11*T2^11 + 1680*T1^12*T2^11 - 3394*T1^13*T2^11 + 
     916*T1^14*T2^11 + 232*T1^15*T2^11 - 64*T1^16*T2^11 - 70*T1^4*T2^12 + 
     304*T1^5*T2^12 + 426*T1^6*T2^12 - 3086*T1^7*T2^12 + 4096*T1^8*T2^12 - 
     1616*T1^9*T2^12 - 330*T1^10*T2^12 + 1680*T1^11*T2^12 - 
     3432*T1^12*T2^12 + 3186*T1^13*T2^12 - 590*T1^14*T2^12 - 
     304*T1^15*T2^12 + 70*T1^16*T2^12 + 32*T1^5*T2^13 - 255*T1^6*T2^13 + 
     581*T1^7*T2^13 + 164*T1^8*T2^13 - 2190*T1^9*T2^13 + 3214*T1^10*T2^13 - 
     3394*T1^11*T2^13 + 3186*T1^12*T2^13 - 1948*T1^13*T2^13 + 
     53*T1^14*T2^13 + 337*T1^15*T2^13 - 64*T1^16*T2^13 + 63*T1^7*T2^14 - 
     476*T1^8*T2^14 + 1109*T1^9*T2^14 - 1162*T1^10*T2^14 + 916*T1^11*T2^14 - 
     590*T1^12*T2^14 + 53*T1^13*T2^14 + 448*T1^14*T2^14 - 289*T1^15*T2^14 + 
     44*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 49*T1^9*T2^15 - 
     95*T1^10*T2^15 + 232*T1^11*T2^15 - 304*T1^12*T2^15 + 337*T1^13*T2^15 - 
     289*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 44*T1^10*T2^16 - 64*T1^11*T2^16 + 70*T1^12*T2^16 - 
     64*T1^13*T2^16 + 44*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1046] -> 
  {((2 - 3*T + 2*T^2)*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^3, 
   (-33 + 280*T1 - 806*T1^2 + 1101*T1^3 - 806*T1^4 + 280*T1^5 - 33*T1^6 + 
     280*T2 - 2164*T1*T2 + 5034*T1^2*T2 - 4162*T1^3*T2 - 218*T1^4*T2 + 
     2790*T1^5*T2 - 1518*T1^6*T2 + 212*T1^7*T2 - 806*T2^2 + 5034*T1*T2^2 - 
     4903*T1^2*T2^2 - 13053*T1^3*T2^2 + 29447*T1^4*T2^2 - 22853*T1^5*T2^2 + 
     4309*T1^6*T2^2 + 1702*T1^7*T2^2 - 414*T1^8*T2^2 + 1101*T2^3 - 
     4162*T1*T2^3 - 13053*T1^2*T2^3 + 58455*T1^3*T2^3 - 61513*T1^4*T2^3 + 
     8583*T1^5*T2^3 + 31215*T1^6*T2^3 - 16924*T1^7*T2^3 + 1006*T1^8*T2^3 + 
     297*T1^9*T2^3 - 806*T2^4 - 218*T1*T2^4 + 29447*T1^2*T2^4 - 
     61513*T1^3*T2^4 - 5045*T1^4*T2^4 + 101975*T1^5*T2^4 - 100521*T1^6*T2^4 + 
     19289*T1^7*T2^4 + 9929*T1^8*T2^4 - 2326*T1^9*T2^4 - 22*T1^10*T2^4 + 
     280*T2^5 + 2790*T1*T2^5 - 22853*T1^2*T2^5 + 8583*T1^3*T2^5 + 
     101975*T1^4*T2^5 - 156220*T1^5*T2^5 + 62904*T1^6*T2^5 + 
     49398*T1^7*T2^5 - 40101*T1^8*T2^5 + 4734*T1^9*T2^5 + 682*T1^10*T2^5 - 
     60*T1^11*T2^5 - 33*T2^6 - 1518*T1*T2^6 + 4309*T1^2*T2^6 + 
     31215*T1^3*T2^6 - 100521*T1^4*T2^6 + 62904*T1^5*T2^6 + 68280*T1^6*T2^6 - 
     123272*T1^7*T2^6 + 48897*T1^8*T2^6 + 4617*T1^9*T2^6 - 4563*T1^10*T2^6 + 
     386*T1^11*T2^6 + 15*T1^12*T2^6 + 212*T1*T2^7 + 1702*T1^2*T2^7 - 
     16924*T1^3*T2^7 + 19289*T1^4*T2^7 + 49398*T1^5*T2^7 - 123272*T1^6*T2^7 + 
     95852*T1^7*T2^7 - 3179*T1^8*T2^7 - 29395*T1^9*T2^7 + 10663*T1^10*T2^7 - 
     406*T1^11*T2^7 - 128*T1^12*T2^7 - 414*T1^2*T2^8 + 1006*T1^3*T2^8 + 
     9929*T1^4*T2^8 - 40101*T1^5*T2^8 + 48897*T1^6*T2^8 - 3179*T1^7*T2^8 - 
     46579*T1^8*T2^8 + 40701*T1^9*T2^8 - 9589*T1^10*T2^8 - 1102*T1^11*T2^8 + 
     370*T1^12*T2^8 + 297*T1^3*T2^9 - 2326*T1^4*T2^9 + 4734*T1^5*T2^9 + 
     4617*T1^6*T2^9 - 29395*T1^7*T2^9 + 40701*T1^8*T2^9 - 22623*T1^9*T2^9 + 
     863*T1^10*T2^9 + 2842*T1^11*T2^9 - 507*T1^12*T2^9 - 22*T1^4*T2^10 + 
     682*T1^5*T2^10 - 4563*T1^6*T2^10 + 10663*T1^7*T2^10 - 9589*T1^8*T2^10 + 
     863*T1^9*T2^10 + 4649*T1^10*T2^10 - 2650*T1^11*T2^10 + 370*T1^12*T2^10 - 
     60*T1^5*T2^11 + 386*T1^6*T2^11 - 406*T1^7*T2^11 - 1102*T1^8*T2^11 + 
     2842*T1^9*T2^11 - 2650*T1^10*T2^11 + 1032*T1^11*T2^11 - 
     128*T1^12*T2^11 + 15*T1^6*T2^12 - 128*T1^7*T2^12 + 370*T1^8*T2^12 - 
     507*T1^9*T2^12 + 370*T1^10*T2^12 - 128*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1047] -> 
  {(1 - 4*T + 10*T^2 - 18*T^3 + 25*T^4 - 27*T^5 + 25*T^6 - 18*T^7 + 10*T^8 - 
     4*T^9 + T^10)/T^5, (-4 + 16*T1 - 40*T1^2 + 72*T1^3 - 100*T1^4 + 
     108*T1^5 - 100*T1^6 + 72*T1^7 - 40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 168*T1^3*T2 + 184*T1^4*T2 - 132*T1^5*T2 + 
     76*T1^6*T2 + 12*T1^7*T2 - 56*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 
     12*T1^11*T2 - 40*T2^2 + 112*T1*T2^2 - 228*T1^2*T2^2 + 321*T1^3*T2^2 - 
     340*T1^4*T2^2 + 251*T1^5*T2^2 - 220*T1^6*T2^2 + 71*T1^7*T2^2 - 
     40*T1^8*T2^2 + 41*T1^9*T2^2 - 48*T1^10*T2^2 + 32*T1^11*T2^2 - 
     20*T1^12*T2^2 + 72*T2^3 - 168*T1*T2^3 + 321*T1^2*T2^3 - 404*T1^3*T2^3 + 
     383*T1^4*T2^3 - 233*T1^5*T2^3 + 256*T1^6*T2^3 + 14*T1^7*T2^3 + 
     45*T1^8*T2^3 - 63*T1^9*T2^3 + 62*T1^10*T2^3 - 19*T1^11*T2^3 + 
     8*T1^12*T2^3 + 18*T1^13*T2^3 - 100*T2^4 + 184*T1*T2^4 - 340*T1^2*T2^4 + 
     383*T1^3*T2^4 - 356*T1^4*T2^4 + 234*T1^5*T2^4 - 400*T1^6*T2^4 - 
     26*T1^7*T2^4 - 196*T1^8*T2^4 + 94*T1^9*T2^4 + 28*T1^10*T2^4 - 
     121*T1^11*T2^4 + 84*T1^12*T2^4 - 72*T1^13*T2^4 + 108*T2^5 - 
     132*T1*T2^5 + 251*T1^2*T2^5 - 233*T1^3*T2^5 + 234*T1^4*T2^5 - 
     189*T1^5*T2^5 + 475*T1^6*T2^5 + 125*T1^7*T2^5 + 365*T1^8*T2^5 - 
     80*T1^9*T2^5 - 69*T1^10*T2^5 + 39*T1^11*T2^5 + 97*T1^12*T2^5 - 
     79*T1^13*T2^5 + 108*T1^14*T2^5 - 27*T1^15*T2^5 - 100*T2^6 + 76*T1*T2^6 - 
     220*T1^2*T2^6 + 256*T1^3*T2^6 - 400*T1^4*T2^6 + 475*T1^5*T2^6 - 
     762*T1^6*T2^6 - 68*T1^7*T2^6 - 532*T1^8*T2^6 - 188*T1^9*T2^6 + 
     402*T1^10*T2^6 - 207*T1^11*T2^6 + 74*T1^12*T2^6 - 124*T1^13*T2^6 + 
     52*T1^14*T2^6 - 92*T1^15*T2^6 + 50*T1^16*T2^6 + 72*T2^7 + 12*T1*T2^7 + 
     71*T1^2*T2^7 + 14*T1^3*T2^7 - 26*T1^4*T2^7 + 125*T1^5*T2^7 - 
     68*T1^6*T2^7 + 932*T1^7*T2^7 - 41*T1^8*T2^7 + 765*T1^9*T2^7 - 
     554*T1^10*T2^7 - 108*T1^11*T2^7 + 117*T1^12*T2^7 - 26*T1^13*T2^7 + 
     72*T1^14*T2^7 + T1^15*T2^7 + 16*T1^16*T2^7 - 54*T1^17*T2^7 - 40*T2^8 - 
     56*T1*T2^8 - 40*T1^2*T2^8 + 45*T1^3*T2^8 - 196*T1^4*T2^8 + 
     365*T1^5*T2^8 - 532*T1^6*T2^8 - 41*T1^7*T2^8 - 812*T1^8*T2^8 - 
     210*T1^9*T2^8 + 112*T1^10*T2^8 + 467*T1^11*T2^8 + 196*T1^12*T2^8 - 
     247*T1^13*T2^8 + 140*T1^14*T2^8 - 103*T1^15*T2^8 + 32*T1^16*T2^8 + 
     56*T1^17*T2^8 + 40*T1^18*T2^8 + 16*T2^9 + 56*T1*T2^9 + 41*T1^2*T2^9 - 
     63*T1^3*T2^9 + 94*T1^4*T2^9 - 80*T1^5*T2^9 - 188*T1^6*T2^9 + 
     765*T1^7*T2^9 - 210*T1^8*T2^9 + 981*T1^9*T2^9 - 509*T1^10*T2^9 - 
     425*T1^11*T2^9 - 637*T1^12*T2^9 + 172*T1^13*T2^9 - 33*T1^14*T2^9 - 
     41*T1^15*T2^9 + 35*T1^16*T2^9 - 99*T1^17*T2^9 - 80*T1^18*T2^9 - 
     20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 48*T1^2*T2^10 + 62*T1^3*T2^10 + 
     28*T1^4*T2^10 - 69*T1^5*T2^10 + 402*T1^6*T2^10 - 554*T1^7*T2^10 + 
     112*T1^8*T2^10 - 509*T1^9*T2^10 + 276*T1^10*T2^10 + 393*T1^11*T2^10 + 
     1250*T1^12*T2^10 - 130*T1^13*T2^10 + 118*T1^14*T2^10 + 21*T1^15*T2^10 + 
     40*T1^16*T2^10 + 58*T1^17*T2^10 + 140*T1^18*T2^10 + 56*T1^19*T2^10 + 
     6*T1^20*T2^10 + 12*T1*T2^11 + 32*T1^2*T2^11 - 19*T1^3*T2^11 - 
     121*T1^4*T2^11 + 39*T1^5*T2^11 - 207*T1^6*T2^11 - 108*T1^7*T2^11 + 
     467*T1^8*T2^11 - 425*T1^9*T2^11 + 393*T1^10*T2^11 - 1097*T1^11*T2^11 - 
     640*T1^12*T2^11 - 935*T1^13*T2^11 + 252*T1^14*T2^11 - 160*T1^15*T2^11 - 
     96*T1^16*T2^11 - 23*T1^17*T2^11 - 159*T1^18*T2^11 - 104*T1^19*T2^11 - 
     24*T1^20*T2^11 - 20*T1^2*T2^12 + 8*T1^3*T2^12 + 84*T1^4*T2^12 + 
     97*T1^5*T2^12 + 74*T1^6*T2^12 + 117*T1^7*T2^12 + 196*T1^8*T2^12 - 
     637*T1^9*T2^12 + 1250*T1^10*T2^12 - 640*T1^11*T2^12 + 2174*T1^12*T2^12 - 
     129*T1^13*T2^12 + 924*T1^14*T2^12 - 495*T1^15*T2^12 + 410*T1^16*T2^12 - 
     51*T1^17*T2^12 + 156*T1^18*T2^12 + 120*T1^19*T2^12 + 60*T1^20*T2^12 + 
     18*T1^3*T2^13 - 72*T1^4*T2^13 - 79*T1^5*T2^13 - 124*T1^6*T2^13 - 
     26*T1^7*T2^13 - 247*T1^8*T2^13 + 172*T1^9*T2^13 - 130*T1^10*T2^13 - 
     935*T1^11*T2^13 - 129*T1^12*T2^13 - 1616*T1^13*T2^13 + 132*T1^14*T2^13 - 
     255*T1^15*T2^13 - 26*T1^16*T2^13 - 66*T1^17*T2^13 - 149*T1^18*T2^13 - 
     68*T1^19*T2^13 - 108*T1^20*T2^13 + 108*T1^5*T2^14 + 52*T1^6*T2^14 + 
     72*T1^7*T2^14 + 140*T1^8*T2^14 - 33*T1^9*T2^14 + 118*T1^10*T2^14 + 
     252*T1^11*T2^14 + 924*T1^12*T2^14 + 132*T1^13*T2^14 + 1282*T1^14*T2^14 - 
     715*T1^15*T2^14 + 614*T1^16*T2^14 - 308*T1^17*T2^14 + 324*T1^18*T2^14 - 
     60*T1^19*T2^14 + 150*T1^20*T2^14 - 27*T1^5*T2^15 - 92*T1^6*T2^15 + 
     T1^7*T2^15 - 103*T1^8*T2^15 - 41*T1^9*T2^15 + 21*T1^10*T2^15 - 
     160*T1^11*T2^15 - 495*T1^12*T2^15 - 255*T1^13*T2^15 - 715*T1^14*T2^15 + 
     141*T1^15*T2^15 - 236*T1^16*T2^15 + 227*T1^17*T2^15 - 329*T1^18*T2^15 + 
     148*T1^19*T2^15 - 162*T1^20*T2^15 + 50*T1^6*T2^16 + 16*T1^7*T2^16 + 
     32*T1^8*T2^16 + 35*T1^9*T2^16 + 40*T1^10*T2^16 - 96*T1^11*T2^16 + 
     410*T1^12*T2^16 - 26*T1^13*T2^16 + 614*T1^14*T2^16 - 236*T1^15*T2^16 + 
     424*T1^16*T2^16 - 469*T1^17*T2^16 + 456*T1^18*T2^16 - 240*T1^19*T2^16 + 
     150*T1^20*T2^16 - 54*T1^7*T2^17 + 56*T1^8*T2^17 - 99*T1^9*T2^17 + 
     58*T1^10*T2^17 - 23*T1^11*T2^17 - 51*T1^12*T2^17 - 66*T1^13*T2^17 - 
     308*T1^14*T2^17 + 227*T1^15*T2^17 - 469*T1^16*T2^17 + 524*T1^17*T2^17 - 
     439*T1^18*T2^17 + 232*T1^19*T2^17 - 108*T1^20*T2^17 + 40*T1^8*T2^18 - 
     80*T1^9*T2^18 + 140*T1^10*T2^18 - 159*T1^11*T2^18 + 156*T1^12*T2^18 - 
     149*T1^13*T2^18 + 324*T1^14*T2^18 - 329*T1^15*T2^18 + 456*T1^16*T2^18 - 
     439*T1^17*T2^18 + 320*T1^18*T2^18 - 160*T1^19*T2^18 + 60*T1^20*T2^18 - 
     20*T1^9*T2^19 + 56*T1^10*T2^19 - 104*T1^11*T2^19 + 120*T1^12*T2^19 - 
     68*T1^13*T2^19 - 60*T1^14*T2^19 + 148*T1^15*T2^19 - 240*T1^16*T2^19 + 
     232*T1^17*T2^19 - 160*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 
     6*T1^10*T2^20 - 24*T1^11*T2^20 + 60*T1^12*T2^20 - 108*T1^13*T2^20 + 
     150*T1^14*T2^20 - 162*T1^15*T2^20 + 150*T1^16*T2^20 - 108*T1^17*T2^20 + 
     60*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1048] -> 
  {(2 - 9*T + 23*T^2 - 40*T^3 + 49*T^4 - 40*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 140*T1 - 358*T1^2 + 623*T1^3 - 763*T1^4 + 623*T1^5 - 
     358*T1^6 + 140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 1146*T1^2*T2 - 
     1610*T1^3*T2 + 1352*T1^4*T2 - 250*T1^5*T2 - 476*T1^6*T2 + 570*T1^7*T2 - 
     330*T1^8*T2 + 104*T1^9*T2 - 358*T2^2 + 1146*T1*T2^2 - 2177*T1^2*T2^2 + 
     2527*T1^3*T2^2 - 1321*T1^4*T2^2 - 943*T1^5*T2^2 + 1071*T1^6*T2^2 - 
     325*T1^7*T2^2 - 245*T1^8*T2^2 + 318*T1^9*T2^2 - 174*T1^10*T2^2 + 
     623*T2^3 - 1610*T1*T2^3 + 2527*T1^2*T2^3 - 1993*T1^3*T2^3 - 
     482*T1^4*T2^3 + 2939*T1^5*T2^3 - 364*T1^6*T2^3 - 1361*T1^7*T2^3 + 
     1463*T1^8*T2^3 - 716*T1^9*T2^3 + 136*T1^10*T2^3 + 143*T1^11*T2^3 - 
     763*T2^4 + 1352*T1*T2^4 - 1321*T1^2*T2^4 - 482*T1^3*T2^4 + 
     3145*T1^4*T2^4 - 3299*T1^5*T2^4 - 3147*T1^6*T2^4 + 3269*T1^7*T2^4 - 
     751*T1^8*T2^4 - 1042*T1^9*T2^4 + 1215*T1^10*T2^4 - 736*T1^11*T2^4 + 
     21*T1^12*T2^4 + 623*T2^5 - 250*T1*T2^5 - 943*T1^2*T2^5 + 
     2939*T1^3*T2^5 - 3299*T1^4*T2^5 - 815*T1^5*T2^5 + 8559*T1^6*T2^5 - 
     2772*T1^7*T2^5 - 2789*T1^8*T2^5 + 3227*T1^9*T2^5 - 1370*T1^10*T2^5 - 
     76*T1^11*T2^5 + 704*T1^12*T2^5 - 177*T1^13*T2^5 - 358*T2^6 - 
     476*T1*T2^6 + 1071*T1^2*T2^6 - 364*T1^3*T2^6 - 3147*T1^4*T2^6 + 
     8559*T1^5*T2^6 - 9861*T1^6*T2^6 - 4607*T1^7*T2^6 + 9899*T1^8*T2^6 - 
     4675*T1^9*T2^6 + 111*T1^10*T2^6 + 1430*T1^11*T2^6 - 1033*T1^12*T2^6 - 
     80*T1^13*T2^6 + 194*T1^14*T2^6 + 140*T2^7 + 570*T1*T2^7 - 
     325*T1^2*T2^7 - 1361*T1^3*T2^7 + 3269*T1^4*T2^7 - 2772*T1^5*T2^7 - 
     4607*T1^6*T2^7 + 18523*T1^7*T2^7 - 13771*T1^8*T2^7 - 635*T1^9*T2^7 + 
     4753*T1^10*T2^7 - 3425*T1^11*T2^7 + 794*T1^12*T2^7 + 572*T1^13*T2^7 - 
     366*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 - 
     245*T1^2*T2^8 + 1463*T1^3*T2^8 - 751*T1^4*T2^8 - 2789*T1^5*T2^8 + 
     9899*T1^6*T2^8 - 13771*T1^7*T2^8 + 432*T1^8*T2^8 + 13751*T1^9*T2^8 - 
     8553*T1^10*T2^8 + 2305*T1^11*T2^8 + 1245*T1^12*T2^8 - 1283*T1^13*T2^8 + 
     349*T1^14*T2^8 + 354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 
     318*T1^2*T2^9 - 716*T1^3*T2^9 - 1042*T1^4*T2^9 + 3227*T1^5*T2^9 - 
     4675*T1^6*T2^9 - 635*T1^7*T2^9 + 13751*T1^8*T2^9 - 18543*T1^9*T2^9 + 
     3337*T1^10*T2^9 + 2850*T1^11*T2^9 - 3467*T1^12*T2^9 + 1113*T1^13*T2^9 + 
     181*T1^14*T2^9 - 618*T1^15*T2^9 - 148*T1^16*T2^9 - 174*T1^2*T2^10 + 
     136*T1^3*T2^10 + 1215*T1^4*T2^10 - 1370*T1^5*T2^10 + 111*T1^6*T2^10 + 
     4753*T1^7*T2^10 - 8553*T1^8*T2^10 + 3337*T1^9*T2^10 + 
     11207*T1^10*T2^10 - 8481*T1^11*T2^10 + 3369*T1^12*T2^10 + 
     424*T1^13*T2^10 - 889*T1^14*T2^10 + 532*T1^15*T2^10 + 378*T1^16*T2^10 + 
     143*T1^3*T2^11 - 736*T1^4*T2^11 - 76*T1^5*T2^11 + 1430*T1^6*T2^11 - 
     3425*T1^7*T2^11 + 2305*T1^8*T2^11 + 2850*T1^9*T2^11 - 8481*T1^10*T2^11 + 
     331*T1^11*T2^11 + 3101*T1^12*T2^11 - 2879*T1^13*T2^11 + 
     791*T1^14*T2^11 + 218*T1^15*T2^11 - 657*T1^16*T2^11 + 21*T1^4*T2^12 + 
     704*T1^5*T2^12 - 1033*T1^6*T2^12 + 794*T1^7*T2^12 + 1245*T1^8*T2^12 - 
     3467*T1^9*T2^12 + 3369*T1^10*T2^12 + 3101*T1^11*T2^12 - 
     2651*T1^12*T2^12 + 234*T1^13*T2^12 + 1503*T1^14*T2^12 - 
     1384*T1^15*T2^12 + 805*T1^16*T2^12 - 177*T1^5*T2^13 - 80*T1^6*T2^13 + 
     572*T1^7*T2^13 - 1283*T1^8*T2^13 + 1113*T1^9*T2^13 + 424*T1^10*T2^13 - 
     2879*T1^11*T2^13 + 234*T1^12*T2^13 + 2173*T1^13*T2^13 - 
     2671*T1^14*T2^13 + 1666*T1^15*T2^13 - 657*T1^16*T2^13 + 194*T1^6*T2^14 - 
     366*T1^7*T2^14 + 349*T1^8*T2^14 + 181*T1^9*T2^14 - 889*T1^10*T2^14 + 
     791*T1^11*T2^14 + 1503*T1^12*T2^14 - 2671*T1^13*T2^14 + 
     2281*T1^14*T2^14 - 1194*T1^15*T2^14 + 378*T1^16*T2^14 - 112*T1^7*T2^15 + 
     354*T1^8*T2^15 - 618*T1^9*T2^15 + 532*T1^10*T2^15 + 218*T1^11*T2^15 - 
     1384*T1^12*T2^15 + 1666*T1^13*T2^15 - 1194*T1^14*T2^15 + 
     552*T1^15*T2^15 - 148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 
     378*T1^10*T2^16 - 657*T1^11*T2^16 + 805*T1^12*T2^16 - 657*T1^13*T2^16 + 
     378*T1^14*T2^16 - 148*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1049] -> 
  {-((1 - 9*T + 27*T^2 - 45*T^3 + 51*T^4 - 45*T^5 + 27*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 81*T1^2 + 135*T1^3 - 153*T1^4 + 135*T1^5 - 
      81*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 567*T1^2*T2 - 
      730*T1^3*T2 + 568*T1^4*T2 - 296*T1^5*T2 - 82*T1^6*T2 + 243*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 81*T2^2 + 567*T1*T2^2 - 757*T1^2*T2^2 - 
      478*T1^3*T2^2 + 2430*T1^4*T2^2 - 3415*T1^5*T2^2 + 3726*T1^6*T2^2 - 
      2422*T1^7*T2^2 + 647*T1^8*T2^2 + 81*T1^9*T2^2 - 27*T1^10*T2^2 + 
      135*T2^3 - 730*T1*T2^3 - 478*T1^2*T2^3 + 4806*T1^3*T2^3 - 
      8362*T1^4*T2^3 + 7750*T1^5*T2^3 - 5858*T1^6*T2^3 + 1034*T1^7*T2^3 + 
      2268*T1^8*T2^3 - 1693*T1^9*T2^3 + 242*T1^10*T2^3 - 153*T2^4 + 
      568*T1*T2^4 + 2430*T1^2*T2^4 - 8362*T1^3*T2^4 + 9232*T1^4*T2^4 - 
      3022*T1^5*T2^4 - 1984*T1^6*T2^4 + 9074*T1^7*T2^4 - 9728*T1^8*T2^4 + 
      3518*T1^9*T2^4 + 648*T1^10*T2^4 - 458*T1^11*T2^4 + 51*T1^12*T2^4 + 
      135*T2^5 - 296*T1*T2^5 - 3415*T1^2*T2^5 + 7750*T1^3*T2^5 - 
      3022*T1^4*T2^5 - 7529*T1^5*T2^5 + 10978*T1^6*T2^5 - 14618*T1^7*T2^5 + 
      7681*T1^8*T2^5 + 5105*T1^9*T2^5 - 7154*T1^10*T2^5 + 1688*T1^11*T2^5 + 
      352*T1^12*T2^5 - 90*T1^13*T2^5 - 81*T2^6 - 82*T1*T2^6 + 
      3726*T1^2*T2^6 - 5858*T1^3*T2^6 - 1984*T1^4*T2^6 + 10978*T1^5*T2^6 - 
      8585*T1^6*T2^6 + 7533*T1^7*T2^6 + 3403*T1^8*T2^6 - 14456*T1^9*T2^6 + 
      4982*T1^10*T2^6 + 5806*T1^11*T2^6 - 3726*T1^12*T2^6 + 80*T1^13*T2^6 + 
      81*T1^14*T2^6 + 27*T2^7 + 243*T1*T2^7 - 2422*T1^2*T2^7 + 
      1034*T1^3*T2^7 + 9074*T1^4*T2^7 - 14618*T1^5*T2^7 + 7533*T1^6*T2^7 - 
      4066*T1^7*T2^7 - 5056*T1^8*T2^7 + 8262*T1^9*T2^7 + 11302*T1^10*T2^7 - 
      14929*T1^11*T2^7 + 1574*T1^12*T2^7 + 3167*T1^13*T2^7 - 405*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 647*T1^2*T2^8 + 2268*T1^3*T2^8 - 
      9728*T1^4*T2^8 + 7681*T1^5*T2^8 + 3403*T1^6*T2^8 - 5056*T1^7*T2^8 + 
      5016*T1^8*T2^8 - 268*T1^9*T2^8 - 18251*T1^10*T2^8 + 6187*T1^11*T2^8 + 
      11092*T1^12*T2^8 - 7164*T1^13*T2^8 - 595*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 81*T1^2*T2^9 - 1693*T1^3*T2^9 + 
      3518*T1^4*T2^9 + 5105*T1^5*T2^9 - 14456*T1^6*T2^9 + 8262*T1^7*T2^9 - 
      268*T1^8*T2^9 - 1258*T1^9*T2^9 + 8991*T1^10*T2^9 + 11464*T1^11*T2^9 - 
      18898*T1^12*T2^9 + 4058*T1^13*T2^9 + 3896*T1^14*T2^9 - 567*T1^15*T2^9 - 
      45*T1^16*T2^9 - 27*T1^2*T2^10 + 242*T1^3*T2^10 + 648*T1^4*T2^10 - 
      7154*T1^5*T2^10 + 4982*T1^6*T2^10 + 11302*T1^7*T2^10 - 
      18251*T1^8*T2^10 + 8991*T1^9*T2^10 - 6263*T1^10*T2^10 - 
      14132*T1^11*T2^10 + 11948*T1^12*T2^10 + 4510*T1^13*T2^10 - 
      6804*T1^14*T2^10 + 404*T1^15*T2^10 + 135*T1^16*T2^10 - 458*T1^4*T2^11 + 
      1688*T1^5*T2^11 + 5806*T1^6*T2^11 - 14929*T1^7*T2^11 + 
      6187*T1^8*T2^11 + 11464*T1^9*T2^11 - 14132*T1^10*T2^11 + 
      21397*T1^11*T2^11 - 6802*T1^12*T2^11 - 9098*T1^13*T2^11 + 
      6791*T1^14*T2^11 + 190*T1^15*T2^11 - 225*T1^16*T2^11 + 51*T1^4*T2^12 + 
      352*T1^5*T2^12 - 3726*T1^6*T2^12 + 1574*T1^7*T2^12 + 11092*T1^8*T2^12 - 
      18898*T1^9*T2^12 + 11948*T1^10*T2^12 - 6802*T1^11*T2^12 - 
      7868*T1^12*T2^12 + 13454*T1^13*T2^12 - 5508*T1^14*T2^12 - 
      674*T1^15*T2^12 + 255*T1^16*T2^12 - 90*T1^5*T2^13 + 80*T1^6*T2^13 + 
      3167*T1^7*T2^13 - 7164*T1^8*T2^13 + 4058*T1^9*T2^13 + 
      4510*T1^10*T2^13 - 9098*T1^11*T2^13 + 13454*T1^12*T2^13 - 
      9702*T1^13*T2^13 + 1952*T1^14*T2^13 + 1052*T1^15*T2^13 - 
      225*T1^16*T2^13 + 81*T1^6*T2^14 - 405*T1^7*T2^14 - 595*T1^8*T2^14 + 
      3896*T1^9*T2^14 - 6804*T1^10*T2^14 + 6791*T1^11*T2^14 - 
      5508*T1^12*T2^14 + 1952*T1^13*T2^14 + 809*T1^14*T2^14 - 
      891*T1^15*T2^14 + 135*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      567*T1^9*T2^15 + 404*T1^10*T2^15 + 190*T1^11*T2^15 - 674*T1^12*T2^15 + 
      1052*T1^13*T2^15 - 891*T1^14*T2^15 + 369*T1^15*T2^15 - 45*T1^16*T2^15 + 
      5*T1^8*T2^16 - 45*T1^9*T2^16 + 135*T1^10*T2^16 - 225*T1^11*T2^16 + 
      255*T1^12*T2^16 - 225*T1^13*T2^16 + 135*T1^14*T2^16 - 45*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1050] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6))/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 252*T1^3 - 332*T1^4 + 252*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1320*T1^3*T2 + 
     1144*T1^4*T2 - 24*T1^5*T2 - 584*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1887*T1^2*T2^2 + 2209*T1^3*T2^2 + 
     782*T1^4*T2^2 - 4979*T1^5*T2^2 + 3914*T1^6*T2^2 - 981*T1^7*T2^2 - 
     263*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 252*T2^3 - 
     1320*T1*T2^3 + 2209*T1^2*T2^3 + 643*T1^3*T2^3 - 10008*T1^4*T2^3 + 
     14558*T1^5*T2^3 - 1926*T1^6*T2^3 - 5863*T1^7*T2^3 + 4155*T1^8*T2^3 - 
     1184*T1^9*T2^3 - 40*T1^10*T2^3 + 63*T1^11*T2^3 - 332*T2^4 + 
     1144*T1*T2^4 + 782*T1^2*T2^4 - 10008*T1^3*T2^4 + 23169*T1^4*T2^4 - 
     13291*T1^5*T2^4 - 22843*T1^6*T2^4 + 22881*T1^7*T2^4 - 5047*T1^8*T2^4 - 
     2700*T1^9*T2^4 + 2346*T1^10*T2^4 - 504*T1^11*T2^4 + 252*T2^5 - 
     24*T1*T2^5 - 4979*T1^2*T2^5 + 14558*T1^3*T2^5 - 13291*T1^4*T2^5 - 
     28974*T1^5*T2^5 + 72299*T1^6*T2^5 - 22834*T1^7*T2^5 - 22002*T1^8*T2^5 + 
     20453*T1^9*T2^5 - 6922*T1^10*T2^5 - 5*T1^11*T2^5 + 504*T1^12*T2^5 - 
     63*T1^13*T2^5 - 116*T2^6 - 584*T1*T2^6 + 3914*T1^2*T2^6 - 
     1926*T1^3*T2^6 - 22843*T1^4*T2^6 + 72299*T1^5*T2^6 - 59942*T1^6*T2^6 - 
     63808*T1^7*T2^6 + 94006*T1^8*T2^6 - 38121*T1^9*T2^6 - 617*T1^10*T2^6 + 
     7064*T1^11*T2^6 - 2354*T1^12*T2^6 + 40*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 981*T1^2*T2^7 - 5863*T1^3*T2^7 + 
     22881*T1^4*T2^7 - 22834*T1^5*T2^7 - 63808*T1^6*T2^7 + 184158*T1^7*T2^7 - 
     117440*T1^8*T2^7 - 8895*T1^9*T2^7 + 41725*T1^10*T2^7 - 
     20575*T1^11*T2^7 + 2644*T1^12*T2^7 + 1194*T1^13*T2^7 - 272*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 263*T1^2*T2^8 + 4155*T1^3*T2^8 - 
     5047*T1^4*T2^8 - 22002*T1^5*T2^8 + 94006*T1^6*T2^8 - 117440*T1^7*T2^8 - 
     26844*T1^8*T2^8 + 136880*T1^9*T2^8 - 90696*T1^10*T2^8 + 
     19698*T1^11*T2^8 + 5477*T1^12*T2^8 - 4187*T1^13*T2^8 + 261*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 
     1184*T1^3*T2^9 - 2700*T1^4*T2^9 + 20453*T1^5*T2^9 - 38121*T1^6*T2^9 - 
     8895*T1^7*T2^9 + 136880*T1^8*T2^9 - 164718*T1^9*T2^9 + 
     46018*T1^10*T2^9 + 26438*T1^11*T2^9 - 23003*T1^12*T2^9 + 
     5807*T1^13*T2^9 + 991*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 
     58*T1^2*T2^10 - 40*T1^3*T2^10 + 2346*T1^4*T2^10 - 6922*T1^5*T2^10 - 
     617*T1^6*T2^10 + 41725*T1^7*T2^10 - 90696*T1^8*T2^10 + 
     46018*T1^9*T2^10 + 63252*T1^10*T2^10 - 68695*T1^11*T2^10 + 
     21609*T1^12*T2^10 + 2068*T1^13*T2^10 - 3922*T1^14*T2^10 + 
     584*T1^15*T2^10 + 116*T1^16*T2^10 + 63*T1^3*T2^11 - 504*T1^4*T2^11 - 
     5*T1^5*T2^11 + 7064*T1^6*T2^11 - 20575*T1^7*T2^11 + 19698*T1^8*T2^11 + 
     26438*T1^9*T2^11 - 68695*T1^10*T2^11 + 26670*T1^11*T2^11 + 
     13169*T1^12*T2^11 - 14416*T1^13*T2^11 + 4969*T1^14*T2^11 + 
     24*T1^15*T2^11 - 252*T1^16*T2^11 + 504*T1^5*T2^12 - 2354*T1^6*T2^12 + 
     2644*T1^7*T2^12 + 5477*T1^8*T2^12 - 23003*T1^9*T2^12 + 
     21609*T1^10*T2^12 + 13169*T1^11*T2^12 - 22739*T1^12*T2^12 + 
     9952*T1^13*T2^12 - 790*T1^14*T2^12 - 1144*T1^15*T2^12 + 
     332*T1^16*T2^12 - 63*T1^5*T2^13 + 40*T1^6*T2^13 + 1194*T1^7*T2^13 - 
     4187*T1^8*T2^13 + 5807*T1^9*T2^13 + 2068*T1^10*T2^13 - 
     14416*T1^11*T2^13 + 9952*T1^12*T2^13 - 675*T1^13*T2^13 - 
     2199*T1^14*T2^13 + 1320*T1^15*T2^13 - 252*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 261*T1^8*T2^14 + 991*T1^9*T2^14 - 3922*T1^10*T2^14 + 
     4969*T1^11*T2^14 - 790*T1^12*T2^14 - 2199*T1^13*T2^14 + 
     1885*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 584*T1^10*T2^15 + 24*T1^11*T2^15 - 
     1144*T1^12*T2^15 + 1320*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 252*T1^11*T2^16 + 332*T1^12*T2^16 - 252*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1051] -> 
  {-((1 - 4*T + 9*T^2 - 15*T^3 + 18*T^4 - 19*T^5 + 18*T^6 - 15*T^7 + 9*T^8 - 
      4*T^9 + T^10)/T^5), -((-7 + 28*T1 - 63*T1^2 + 105*T1^3 - 126*T1^4 + 
      133*T1^5 - 126*T1^6 + 105*T1^7 - 63*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 
      88*T1*T2 + 156*T1^2*T2 - 204*T1^3*T2 + 144*T1^4*T2 - 100*T1^5*T2 + 
      48*T1^6*T2 + 12*T1^7*T2 - 108*T1^8*T2 + 104*T1^9*T2 - 68*T1^10*T2 + 
      24*T1^11*T2 - 63*T2^2 + 156*T1*T2^2 - 227*T1^2*T2^2 + 257*T1^3*T2^2 - 
      88*T1^4*T2^2 + 125*T1^5*T2^2 - 99*T1^6*T2^2 + 53*T1^7*T2^2 + 
      74*T1^8*T2^2 + 59*T1^9*T2^2 - 83*T1^10*T2^2 + 84*T1^11*T2^2 - 
      45*T1^12*T2^2 + 105*T2^3 - 204*T1*T2^3 + 257*T1^2*T2^3 - 
      279*T1^3*T2^3 + 3*T1^4*T2^3 - 236*T1^5*T2^3 + 118*T1^6*T2^3 - 
      35*T1^7*T2^3 - 164*T1^8*T2^3 - 123*T1^9*T2^3 - 27*T1^10*T2^3 + 
      32*T1^11*T2^3 - 60*T1^12*T2^3 + 60*T1^13*T2^3 - 126*T2^4 + 
      144*T1*T2^4 - 88*T1^2*T2^4 + 3*T1^3*T2^4 + 441*T1^4*T2^4 + T1^5*T2^4 + 
      400*T1^6*T2^4 - 429*T1^7*T2^4 + 568*T1^8*T2^4 + T1^9*T2^4 + 
      345*T1^10*T2^4 - 117*T1^11*T2^4 + 80*T1^12*T2^4 - 24*T1^13*T2^4 - 
      54*T1^14*T2^4 + 133*T2^5 - 100*T1*T2^5 + 125*T1^2*T2^5 - 
      236*T1^3*T2^5 + T1^4*T2^5 - 804*T1^5*T2^5 + 42*T1^6*T2^5 - 
      175*T1^7*T2^5 - 28*T1^8*T2^5 - 455*T1^9*T2^5 - 416*T1^10*T2^5 - 
      8*T1^11*T2^5 - 80*T1^12*T2^5 - T1^13*T2^5 + 64*T1^14*T2^5 + 
      38*T1^15*T2^5 - 126*T2^6 + 48*T1*T2^6 - 99*T1^2*T2^6 + 118*T1^3*T2^6 + 
      400*T1^4*T2^6 + 42*T1^5*T2^6 + 1419*T1^6*T2^6 - 1106*T1^7*T2^6 + 
      1375*T1^8*T2^6 - 854*T1^9*T2^6 + 1611*T1^10*T2^6 - 406*T1^11*T2^6 + 
      376*T1^12*T2^6 - 62*T1^13*T2^6 - 19*T1^14*T2^6 - 80*T1^15*T2^6 - 
      18*T1^16*T2^6 + 105*T2^7 + 12*T1*T2^7 + 53*T1^2*T2^7 - 35*T1^3*T2^7 - 
      429*T1^4*T2^7 - 175*T1^5*T2^7 - 1106*T1^6*T2^7 + 174*T1^7*T2^7 - 
      411*T1^8*T2^7 - 75*T1^9*T2^7 - 612*T1^10*T2^7 - 602*T1^11*T2^7 + 
      38*T1^12*T2^7 - 186*T1^13*T2^7 + 82*T1^14*T2^7 + 35*T1^15*T2^7 + 
      72*T1^16*T2^7 - 63*T2^8 - 108*T1*T2^8 + 74*T1^2*T2^8 - 164*T1^3*T2^8 + 
      568*T1^4*T2^8 - 28*T1^5*T2^8 + 1375*T1^6*T2^8 - 411*T1^7*T2^8 + 
      889*T1^8*T2^8 - 557*T1^9*T2^8 + 1057*T1^10*T2^8 + 39*T1^11*T2^8 + 
      577*T1^12*T2^8 - 76*T1^13*T2^8 + 16*T1^14*T2^8 - 26*T1^15*T2^8 - 
      70*T1^16*T2^8 - 36*T1^17*T2^8 + 9*T1^18*T2^8 + 28*T2^9 + 104*T1*T2^9 + 
      59*T1^2*T2^9 - 123*T1^3*T2^9 + T1^4*T2^9 - 455*T1^5*T2^9 - 
      854*T1^6*T2^9 - 75*T1^7*T2^9 - 557*T1^8*T2^9 + 385*T1^9*T2^9 - 
      587*T1^10*T2^9 - 305*T1^11*T2^9 - 183*T1^12*T2^9 - 350*T1^13*T2^9 + 
      238*T1^14*T2^9 - 44*T1^15*T2^9 + 39*T1^16*T2^9 + 68*T1^17*T2^9 - 
      4*T1^18*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 - 83*T1^2*T2^10 - 
      27*T1^3*T2^10 + 345*T1^4*T2^10 - 416*T1^5*T2^10 + 1611*T1^6*T2^10 - 
      612*T1^7*T2^10 + 1057*T1^8*T2^10 - 587*T1^9*T2^10 + 132*T1^10*T2^10 + 
      559*T1^11*T2^10 - 179*T1^12*T2^10 + 480*T1^13*T2^10 - 209*T1^14*T2^10 - 
      84*T1^15*T2^10 + 27*T1^16*T2^10 - 69*T1^17*T2^10 - 19*T1^18*T2^10 + 
      20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 84*T1^2*T2^11 + 
      32*T1^3*T2^11 - 117*T1^4*T2^11 - 8*T1^5*T2^11 - 406*T1^6*T2^11 - 
      602*T1^7*T2^11 + 39*T1^8*T2^11 - 305*T1^9*T2^11 + 559*T1^10*T2^11 - 
      413*T1^11*T2^11 - 53*T1^12*T2^11 - 69*T1^13*T2^11 - 98*T1^14*T2^11 + 
      287*T1^15*T2^11 - 53*T1^16*T2^11 + 45*T1^17*T2^11 + 41*T1^18*T2^11 - 
      24*T1^19*T2^11 - 12*T1^20*T2^11 - 45*T1^2*T2^12 - 60*T1^3*T2^12 + 
      80*T1^4*T2^12 - 80*T1^5*T2^12 + 376*T1^6*T2^12 + 38*T1^7*T2^12 + 
      577*T1^8*T2^12 - 183*T1^9*T2^12 - 179*T1^10*T2^12 - 53*T1^11*T2^12 - 
      11*T1^12*T2^12 + 267*T1^13*T2^12 - 221*T1^14*T2^12 - 10*T1^15*T2^12 - 
      176*T1^16*T2^12 + 58*T1^17*T2^12 - 64*T1^18*T2^12 + 12*T1^19*T2^12 + 
      27*T1^20*T2^12 + 60*T1^3*T2^13 - 24*T1^4*T2^13 - T1^5*T2^13 - 
      62*T1^6*T2^13 - 186*T1^7*T2^13 - 76*T1^8*T2^13 - 350*T1^9*T2^13 + 
      480*T1^10*T2^13 - 69*T1^11*T2^13 + 267*T1^12*T2^13 - 306*T1^13*T2^13 + 
      154*T1^14*T2^13 + 137*T1^15*T2^13 + 57*T1^16*T2^13 + 55*T1^17*T2^13 - 
      19*T1^18*T2^13 + 36*T1^19*T2^13 - 45*T1^20*T2^13 - 54*T1^4*T2^14 + 
      64*T1^5*T2^14 - 19*T1^6*T2^14 + 82*T1^7*T2^14 + 16*T1^8*T2^14 + 
      238*T1^9*T2^14 - 209*T1^10*T2^14 - 98*T1^11*T2^14 - 221*T1^12*T2^14 + 
      154*T1^13*T2^14 - 17*T1^14*T2^14 - 210*T1^15*T2^14 - 8*T1^16*T2^14 - 
      98*T1^17*T2^14 + 61*T1^18*T2^14 - 64*T1^19*T2^14 + 54*T1^20*T2^14 + 
      38*T1^5*T2^15 - 80*T1^6*T2^15 + 35*T1^7*T2^15 - 26*T1^8*T2^15 - 
      44*T1^9*T2^15 - 84*T1^10*T2^15 + 287*T1^11*T2^15 - 10*T1^12*T2^15 + 
      137*T1^13*T2^15 - 210*T1^14*T2^15 + 304*T1^15*T2^15 - 53*T1^16*T2^15 + 
      130*T1^17*T2^15 - 91*T1^18*T2^15 + 84*T1^19*T2^15 - 57*T1^20*T2^15 - 
      18*T1^6*T2^16 + 72*T1^7*T2^16 - 70*T1^8*T2^16 + 39*T1^9*T2^16 + 
      27*T1^10*T2^16 - 53*T1^11*T2^16 - 176*T1^12*T2^16 + 57*T1^13*T2^16 - 
      8*T1^14*T2^16 - 53*T1^15*T2^16 - 69*T1^16*T2^16 - 81*T1^17*T2^16 + 
      98*T1^18*T2^16 - 96*T1^19*T2^16 + 54*T1^20*T2^16 - 36*T1^8*T2^17 + 
      68*T1^9*T2^17 - 69*T1^10*T2^17 + 45*T1^11*T2^17 + 58*T1^12*T2^17 + 
      55*T1^13*T2^17 - 98*T1^14*T2^17 + 130*T1^15*T2^17 - 81*T1^16*T2^17 + 
      183*T1^17*T2^17 - 157*T1^18*T2^17 + 108*T1^19*T2^17 - 45*T1^20*T2^17 + 
      9*T1^8*T2^18 - 4*T1^9*T2^18 - 19*T1^10*T2^18 + 41*T1^11*T2^18 - 
      64*T1^12*T2^18 - 19*T1^13*T2^18 + 61*T1^14*T2^18 - 91*T1^15*T2^18 + 
      98*T1^16*T2^18 - 157*T1^17*T2^18 + 125*T1^18*T2^18 - 76*T1^19*T2^18 + 
      27*T1^20*T2^18 - 8*T1^9*T2^19 + 20*T1^10*T2^19 - 24*T1^11*T2^19 + 
      12*T1^12*T2^19 + 36*T1^13*T2^19 - 64*T1^14*T2^19 + 84*T1^15*T2^19 - 
      96*T1^16*T2^19 + 108*T1^17*T2^19 - 76*T1^18*T2^19 + 40*T1^19*T2^19 - 
      12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 27*T1^12*T2^20 - 
      45*T1^13*T2^20 + 54*T1^14*T2^20 - 57*T1^15*T2^20 + 54*T1^16*T2^20 - 
      45*T1^17*T2^20 + 27*T1^18*T2^20 - 12*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1052] -> 
  {-((2 - 9*T + 22*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 449*T1^2 + 775*T1^3 - 917*T1^4 + 775*T1^5 - 
      449*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1352*T1^2*T2 - 
      1860*T1^3*T2 + 1322*T1^4*T2 - 172*T1^5*T2 - 780*T1^6*T2 + 794*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 449*T2^2 + 1352*T1*T2^2 - 2206*T1^2*T2^2 + 
      2415*T1^3*T2^2 - 406*T1^4*T2^2 - 1322*T1^5*T2^2 + 1618*T1^6*T2^2 - 
      137*T1^7*T2^2 - 446*T1^8*T2^2 + 560*T1^9*T2^2 - 273*T1^10*T2^2 + 
      775*T2^3 - 1860*T1*T2^3 + 2415*T1^2*T2^3 - 1992*T1^3*T2^3 - 
      1509*T1^4*T2^3 + 2098*T1^5*T2^3 - 656*T1^6*T2^3 - 1941*T1^7*T2^3 + 
      990*T1^8*T2^3 - 423*T1^9*T2^3 - 204*T1^10*T2^3 + 319*T1^11*T2^3 - 
      917*T2^4 + 1322*T1*T2^4 - 406*T1^2*T2^4 - 1509*T1^3*T2^4 + 
      6159*T1^4*T2^4 - 3580*T1^5*T2^4 + 445*T1^6*T2^4 + 1712*T1^7*T2^4 + 
      1803*T1^8*T2^4 - 1509*T1^9*T2^4 + 1358*T1^10*T2^4 - 550*T1^11*T2^4 - 
      197*T1^12*T2^4 + 775*T2^5 - 172*T1*T2^5 - 1322*T1^2*T2^5 + 
      2098*T1^3*T2^5 - 3580*T1^4*T2^5 - 4233*T1^5*T2^5 + 5595*T1^6*T2^5 - 
      2673*T1^7*T2^5 - 4483*T1^8*T2^5 + 2004*T1^9*T2^5 - 996*T1^10*T2^5 - 
      419*T1^11*T2^5 + 818*T1^12*T2^5 + 15*T1^13*T2^5 - 449*T2^6 - 
      780*T1*T2^6 + 1618*T1^2*T2^6 - 656*T1^3*T2^6 + 445*T1^4*T2^6 + 
      5595*T1^5*T2^6 + 1655*T1^6*T2^6 - 9339*T1^7*T2^6 + 12803*T1^8*T2^6 - 
      3033*T1^9*T2^6 - 59*T1^10*T2^6 + 1588*T1^11*T2^6 - 926*T1^12*T2^6 - 
      420*T1^13*T2^6 + 79*T1^14*T2^6 + 184*T2^7 + 794*T1*T2^7 - 
      137*T1^2*T2^7 - 1941*T1^3*T2^7 + 1712*T1^4*T2^7 - 2673*T1^5*T2^7 - 
      9339*T1^6*T2^7 + 13268*T1^7*T2^7 - 7486*T1^8*T2^7 - 5343*T1^9*T2^7 + 
      4875*T1^10*T2^7 - 2704*T1^11*T2^7 + 219*T1^12*T2^7 + 985*T1^13*T2^7 - 
      52*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 446*T1^2*T2^8 + 
      990*T1^3*T2^8 + 1803*T1^4*T2^8 - 4483*T1^5*T2^8 + 12803*T1^6*T2^8 - 
      7486*T1^7*T2^8 - 4632*T1^8*T2^8 + 12226*T1^9*T2^8 - 5465*T1^10*T2^8 + 
      363*T1^11*T2^8 + 1375*T1^12*T2^8 - 1182*T1^13*T2^8 - 244*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 560*T1^2*T2^9 - 
      423*T1^3*T2^9 - 1509*T1^4*T2^9 + 2004*T1^5*T2^9 - 3033*T1^6*T2^9 - 
      5343*T1^7*T2^9 + 12226*T1^8*T2^9 - 8528*T1^9*T2^9 - 1347*T1^10*T2^9 + 
      4515*T1^11*T2^9 - 2412*T1^12*T2^9 + 651*T1^13*T2^9 + 699*T1^14*T2^9 - 
      286*T1^15*T2^9 - 104*T1^16*T2^9 - 273*T1^2*T2^10 - 204*T1^3*T2^10 + 
      1358*T1^4*T2^10 - 996*T1^5*T2^10 - 59*T1^6*T2^10 + 4875*T1^7*T2^10 - 
      5465*T1^8*T2^10 - 1347*T1^9*T2^10 + 5683*T1^10*T2^10 - 
      3753*T1^11*T2^10 - 563*T1^12*T2^10 + 1248*T1^13*T2^10 - 
      1186*T1^14*T2^10 + 156*T1^15*T2^10 + 255*T1^16*T2^10 + 319*T1^3*T2^11 - 
      550*T1^4*T2^11 - 419*T1^5*T2^11 + 1588*T1^6*T2^11 - 2704*T1^7*T2^11 + 
      363*T1^8*T2^11 + 4515*T1^9*T2^11 - 3753*T1^10*T2^11 + 113*T1^11*T2^11 + 
      2880*T1^12*T2^11 - 1506*T1^13*T2^11 + 484*T1^14*T2^11 + 
      440*T1^15*T2^11 - 441*T1^16*T2^11 - 197*T1^4*T2^12 + 818*T1^5*T2^12 - 
      926*T1^6*T2^12 + 219*T1^7*T2^12 + 1375*T1^8*T2^12 - 2412*T1^9*T2^12 - 
      563*T1^10*T2^12 + 2880*T1^11*T2^12 - 2981*T1^12*T2^12 + 
      219*T1^13*T2^12 + 838*T1^14*T2^12 - 1054*T1^15*T2^12 + 
      523*T1^16*T2^12 + 15*T1^5*T2^13 - 420*T1^6*T2^13 + 985*T1^7*T2^13 - 
      1182*T1^8*T2^13 + 651*T1^9*T2^13 + 1248*T1^10*T2^13 - 
      1506*T1^11*T2^13 + 219*T1^12*T2^13 + 1800*T1^13*T2^13 - 
      1853*T1^14*T2^13 + 1236*T1^15*T2^13 - 441*T1^16*T2^13 + 79*T1^6*T2^14 - 
      52*T1^7*T2^14 - 244*T1^8*T2^14 + 699*T1^9*T2^14 - 1186*T1^10*T2^14 + 
      484*T1^11*T2^14 + 838*T1^12*T2^14 - 1853*T1^13*T2^14 + 
      1516*T1^14*T2^14 - 844*T1^15*T2^14 + 255*T1^16*T2^14 - 68*T1^7*T2^15 + 
      204*T1^8*T2^15 - 286*T1^9*T2^15 + 156*T1^10*T2^15 + 440*T1^11*T2^15 - 
      1054*T1^12*T2^15 + 1236*T1^13*T2^15 - 844*T1^14*T2^15 + 
      402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 
      255*T1^10*T2^16 - 441*T1^11*T2^16 + 523*T1^12*T2^16 - 441*T1^13*T2^16 + 
      255*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1053] -> 
  {(2 - 10*T + 27*T^2 - 48*T^3 + 59*T^4 - 48*T^5 + 27*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 156*T1 - 422*T1^2 + 751*T1^3 - 923*T1^4 + 751*T1^5 - 
     422*T1^6 + 156*T1^7 - 31*T1^8 + 156*T2 - 668*T1*T2 + 1536*T1^2*T2 - 
     2192*T1^3*T2 + 1824*T1^4*T2 - 316*T1^5*T2 - 692*T1^6*T2 + 796*T1^7*T2 - 
     428*T1^8*T2 + 116*T1^9*T2 - 422*T2^2 + 1536*T1*T2^2 - 2997*T1^2*T2^2 + 
     3265*T1^3*T2^2 - 1125*T1^4*T2^2 - 2287*T1^5*T2^2 + 2331*T1^6*T2^2 - 
     839*T1^7*T2^2 - 297*T1^8*T2^2 + 456*T1^9*T2^2 - 206*T1^10*T2^2 + 
     751*T2^3 - 2192*T1*T2^3 + 3265*T1^2*T2^3 - 1588*T1^3*T2^3 - 
     2922*T1^4*T2^3 + 6163*T1^5*T2^3 - 1127*T1^6*T2^3 - 2544*T1^7*T2^3 + 
     2822*T1^8*T2^3 - 1271*T1^9*T2^3 + 148*T1^10*T2^3 + 175*T1^11*T2^3 - 
     923*T2^4 + 1824*T1*T2^4 - 1125*T1^2*T2^4 - 2922*T1^3*T2^4 + 
     7149*T1^4*T2^4 - 5093*T1^5*T2^4 - 7037*T1^6*T2^4 + 7691*T1^7*T2^4 - 
     2427*T1^8*T2^4 - 1578*T1^9*T2^4 + 2019*T1^10*T2^4 - 976*T1^11*T2^4 + 
     21*T1^12*T2^4 + 751*T2^5 - 316*T1*T2^5 - 2287*T1^2*T2^5 + 
     6163*T1^3*T2^5 - 5093*T1^4*T2^5 - 4876*T1^5*T2^5 + 17610*T1^6*T2^5 - 
     6072*T1^7*T2^5 - 5806*T1^8*T2^5 + 7135*T1^9*T2^5 - 3035*T1^10*T2^5 - 
     139*T1^11*T2^5 + 944*T1^12*T2^5 - 209*T1^13*T2^5 - 422*T2^6 - 
     692*T1*T2^6 + 2331*T1^2*T2^6 - 1127*T1^3*T2^6 - 7037*T1^4*T2^6 + 
     17610*T1^5*T2^6 - 16629*T1^6*T2^6 - 10485*T1^7*T2^6 + 20463*T1^8*T2^6 - 
     9570*T1^9*T2^6 - 431*T1^10*T2^6 + 3301*T1^11*T2^6 - 1749*T1^12*T2^6 - 
     92*T1^13*T2^6 + 226*T1^14*T2^6 + 156*T2^7 + 796*T1*T2^7 - 
     839*T1^2*T2^7 - 2544*T1^3*T2^7 + 7691*T1^4*T2^7 - 6072*T1^5*T2^7 - 
     10485*T1^6*T2^7 + 34724*T1^7*T2^7 - 24970*T1^8*T2^7 - 2637*T1^9*T2^7 + 
     10614*T1^10*T2^7 - 6761*T1^11*T2^7 + 942*T1^12*T2^7 + 1105*T1^13*T2^7 - 
     504*T1^14*T2^7 - 124*T1^15*T2^7 - 31*T2^8 - 428*T1*T2^8 - 
     297*T1^2*T2^8 + 2822*T1^3*T2^8 - 2427*T1^4*T2^8 - 5806*T1^5*T2^8 + 
     20463*T1^6*T2^8 - 24970*T1^7*T2^8 - 564*T1^8*T2^8 + 26358*T1^9*T2^8 - 
     16365*T1^10*T2^8 + 3290*T1^11*T2^8 + 3313*T1^12*T2^8 - 2458*T1^13*T2^8 + 
     399*T1^14*T2^8 + 452*T1^15*T2^8 + 33*T1^16*T2^8 + 116*T1*T2^9 + 
     456*T1^2*T2^9 - 1271*T1^3*T2^9 - 1578*T1^4*T2^9 + 7135*T1^5*T2^9 - 
     9570*T1^6*T2^9 - 2637*T1^7*T2^9 + 26358*T1^8*T2^9 - 33336*T1^9*T2^9 + 
     5211*T1^10*T2^9 + 7116*T1^11*T2^9 - 7317*T1^12*T2^9 + 1908*T1^13*T2^9 + 
     673*T1^14*T2^9 - 844*T1^15*T2^9 - 164*T1^16*T2^9 - 206*T1^2*T2^10 + 
     148*T1^3*T2^10 + 2019*T1^4*T2^10 - 3035*T1^5*T2^10 - 431*T1^6*T2^10 + 
     10614*T1^7*T2^10 - 16365*T1^8*T2^10 + 5211*T1^9*T2^10 + 
     20727*T1^10*T2^10 - 16566*T1^11*T2^10 + 6175*T1^12*T2^10 + 
     1393*T1^13*T2^10 - 2061*T1^14*T2^10 + 748*T1^15*T2^10 + 
     442*T1^16*T2^10 + 175*T1^3*T2^11 - 976*T1^4*T2^11 - 139*T1^5*T2^11 + 
     3301*T1^6*T2^11 - 6761*T1^7*T2^11 + 3290*T1^8*T2^11 + 7116*T1^9*T2^11 - 
     16566*T1^10*T2^11 + 2360*T1^11*T2^11 + 5467*T1^12*T2^11 - 
     5897*T1^13*T2^11 + 2009*T1^14*T2^11 + 284*T1^15*T2^11 - 
     785*T1^16*T2^11 + 21*T1^4*T2^12 + 944*T1^5*T2^12 - 1749*T1^6*T2^12 + 
     942*T1^7*T2^12 + 3313*T1^8*T2^12 - 7317*T1^9*T2^12 + 6175*T1^10*T2^12 + 
     5467*T1^11*T2^12 - 6263*T1^12*T2^12 + 2286*T1^13*T2^12 + 
     1395*T1^14*T2^12 - 1856*T1^15*T2^12 + 965*T1^16*T2^12 - 209*T1^5*T2^13 - 
     92*T1^6*T2^13 + 1105*T1^7*T2^13 - 2458*T1^8*T2^13 + 1908*T1^9*T2^13 + 
     1393*T1^10*T2^13 - 5897*T1^11*T2^13 + 2286*T1^12*T2^13 + 
     1952*T1^13*T2^13 - 3431*T1^14*T2^13 + 2248*T1^15*T2^13 - 
     785*T1^16*T2^13 + 226*T1^6*T2^14 - 504*T1^7*T2^14 + 399*T1^8*T2^14 + 
     673*T1^9*T2^14 - 2061*T1^10*T2^14 + 2009*T1^11*T2^14 + 
     1395*T1^12*T2^14 - 3431*T1^13*T2^14 + 3099*T1^14*T2^14 - 
     1584*T1^15*T2^14 + 442*T1^16*T2^14 - 124*T1^7*T2^15 + 452*T1^8*T2^15 - 
     844*T1^9*T2^15 + 748*T1^10*T2^15 + 284*T1^11*T2^15 - 1856*T1^12*T2^15 + 
     2248*T1^13*T2^15 - 1584*T1^14*T2^15 + 692*T1^15*T2^15 - 
     164*T1^16*T2^15 + 33*T1^8*T2^16 - 164*T1^9*T2^16 + 442*T1^10*T2^16 - 
     785*T1^11*T2^16 + 965*T1^12*T2^16 - 785*T1^13*T2^16 + 442*T1^14*T2^16 - 
     164*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1054] -> 
  {-((1 - 9*T + 28*T^2 - 48*T^3 + 55*T^4 - 48*T^5 + 28*T^6 - 9*T^7 + T^8)/
     T^4), -((-3 + 27*T1 - 84*T1^2 + 144*T1^3 - 165*T1^4 + 144*T1^5 - 
      84*T1^6 + 27*T1^7 - 3*T1^8 + 27*T2 - 225*T1*T2 + 594*T1^2*T2 - 
      792*T1^3*T2 + 621*T1^4*T2 - 306*T1^5*T2 - 108*T1^6*T2 + 261*T1^7*T2 - 
      135*T1^8*T2 + 18*T1^9*T2 - 84*T2^2 + 594*T1*T2^2 - 920*T1^2*T2^2 - 
      262*T1^3*T2^2 + 2403*T1^4*T2^2 - 3578*T1^5*T2^2 + 3915*T1^6*T2^2 - 
      2446*T1^7*T2^2 + 592*T1^8*T2^2 + 90*T1^9*T2^2 - 28*T1^10*T2^2 + 
      144*T2^3 - 792*T1*T2^3 - 262*T1^2*T2^3 + 4936*T1^3*T2^3 - 
      9212*T1^4*T2^3 + 8698*T1^5*T2^3 - 6314*T1^6*T2^3 + 724*T1^7*T2^3 + 
      2668*T1^8*T2^3 - 1774*T1^9*T2^3 + 252*T1^10*T2^3 - 165*T2^4 + 
      621*T1*T2^4 + 2403*T1^2*T2^4 - 9212*T1^3*T2^4 + 10683*T1^4*T2^4 - 
      3250*T1^5*T2^4 - 3373*T1^6*T2^4 + 11498*T1^7*T2^4 - 11133*T1^8*T2^4 + 
      3556*T1^9*T2^4 + 787*T1^10*T2^4 - 495*T1^11*T2^4 + 55*T1^12*T2^4 + 
      144*T2^5 - 306*T1*T2^5 - 3578*T1^2*T2^5 + 8698*T1^3*T2^5 - 
      3250*T1^4*T2^5 - 10459*T1^5*T2^5 + 15709*T1^6*T2^5 - 18743*T1^7*T2^5 + 
      8405*T1^8*T2^5 + 6587*T1^9*T2^5 - 7922*T1^10*T2^5 + 1723*T1^11*T2^5 + 
      369*T1^12*T2^5 - 96*T1^13*T2^5 - 84*T2^6 - 108*T1*T2^6 + 
      3915*T1^2*T2^6 - 6314*T1^3*T2^6 - 3373*T1^4*T2^6 + 15709*T1^5*T2^6 - 
      12524*T1^6*T2^6 + 7488*T1^7*T2^6 + 7780*T1^8*T2^6 - 19163*T1^9*T2^6 + 
      6083*T1^10*T2^6 + 6286*T1^11*T2^6 - 3853*T1^12*T2^6 + 108*T1^13*T2^6 + 
      84*T1^14*T2^6 + 27*T2^7 + 261*T1*T2^7 - 2446*T1^2*T2^7 + 
      724*T1^3*T2^7 + 11498*T1^4*T2^7 - 18743*T1^5*T2^7 + 7488*T1^6*T2^7 + 
      917*T1^7*T2^7 - 10561*T1^8*T2^7 + 10056*T1^9*T2^7 + 14869*T1^10*T2^7 - 
      17983*T1^11*T2^7 + 2116*T1^12*T2^7 + 3098*T1^13*T2^7 - 432*T1^14*T2^7 - 
      36*T1^15*T2^7 - 3*T2^8 - 135*T1*T2^8 + 592*T1^2*T2^8 + 2668*T1^3*T2^8 - 
      11133*T1^4*T2^8 + 8405*T1^5*T2^8 + 7780*T1^6*T2^8 - 10561*T1^7*T2^8 + 
      5028*T1^8*T2^8 + 4601*T1^9*T2^8 - 25692*T1^10*T2^8 + 8639*T1^11*T2^8 + 
      12315*T1^12*T2^8 - 7724*T1^13*T2^8 - 422*T1^14*T2^8 + 279*T1^15*T2^8 + 
      5*T1^16*T2^8 + 18*T1*T2^9 + 90*T1^2*T2^9 - 1774*T1^3*T2^9 + 
      3556*T1^4*T2^9 + 6587*T1^5*T2^9 - 19163*T1^6*T2^9 + 10056*T1^7*T2^9 + 
      4601*T1^8*T2^9 - 6877*T1^9*T2^9 + 12624*T1^10*T2^9 + 14449*T1^11*T2^9 - 
      22894*T1^12*T2^9 + 4948*T1^13*T2^9 + 3770*T1^14*T2^9 - 603*T1^15*T2^9 - 
      45*T1^16*T2^9 - 28*T1^2*T2^10 + 252*T1^3*T2^10 + 787*T1^4*T2^10 - 
      7922*T1^5*T2^10 + 6083*T1^6*T2^10 + 14869*T1^7*T2^10 - 
      25692*T1^8*T2^10 + 12624*T1^9*T2^10 - 5388*T1^10*T2^10 - 
      20003*T1^11*T2^10 + 15539*T1^12*T2^10 + 4678*T1^13*T2^10 - 
      6981*T1^14*T2^10 + 468*T1^15*T2^10 + 140*T1^16*T2^10 - 495*T1^4*T2^11 + 
      1723*T1^5*T2^11 + 6286*T1^6*T2^11 - 17983*T1^7*T2^11 + 
      8639*T1^8*T2^11 + 14449*T1^9*T2^11 - 20003*T1^10*T2^11 + 
      27503*T1^11*T2^11 - 8146*T1^12*T2^11 - 10334*T1^13*T2^11 + 
      7024*T1^14*T2^11 + 180*T1^15*T2^11 - 240*T1^16*T2^11 + 55*T1^4*T2^12 + 
      369*T1^5*T2^12 - 3853*T1^6*T2^12 + 2116*T1^7*T2^12 + 12315*T1^8*T2^12 - 
      22894*T1^9*T2^12 + 15539*T1^10*T2^12 - 8146*T1^11*T2^12 - 
      9501*T1^12*T2^12 + 14884*T1^13*T2^12 - 5469*T1^14*T2^12 - 
      747*T1^15*T2^12 + 275*T1^16*T2^12 - 96*T1^5*T2^13 + 108*T1^6*T2^13 + 
      3098*T1^7*T2^13 - 7724*T1^8*T2^13 + 4948*T1^9*T2^13 + 
      4678*T1^10*T2^13 - 10334*T1^11*T2^13 + 14884*T1^12*T2^13 - 
      9992*T1^13*T2^13 + 1586*T1^14*T2^13 + 1152*T1^15*T2^13 - 
      240*T1^16*T2^13 + 84*T1^6*T2^14 - 432*T1^7*T2^14 - 422*T1^8*T2^14 + 
      3770*T1^9*T2^14 - 6981*T1^10*T2^14 + 7024*T1^11*T2^14 - 
      5469*T1^12*T2^14 + 1586*T1^13*T2^14 + 1090*T1^14*T2^14 - 
      936*T1^15*T2^14 + 140*T1^16*T2^14 - 36*T1^7*T2^15 + 279*T1^8*T2^15 - 
      603*T1^9*T2^15 + 468*T1^10*T2^15 + 180*T1^11*T2^15 - 747*T1^12*T2^15 + 
      1152*T1^13*T2^15 - 936*T1^14*T2^15 + 369*T1^15*T2^15 - 45*T1^16*T2^15 + 
      5*T1^8*T2^16 - 45*T1^9*T2^16 + 140*T1^10*T2^16 - 240*T1^11*T2^16 + 
      275*T1^12*T2^16 - 240*T1^13*T2^16 + 140*T1^14*T2^16 - 45*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1055] -> 
  {-((2 - 17*T + 50*T^2 - 71*T^3 + 50*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((-23 + 195*T1 - 574*T1^2 + 815*T1^3 - 574*T1^4 + 195*T1^5 - 23*T1^6 + 
      195*T2 - 1526*T1*T2 + 3791*T1^2*T2 - 3743*T1^3*T2 + 371*T1^4*T2 + 
      1513*T1^5*T2 - 880*T1^6*T2 + 127*T1^7*T2 - 574*T2^2 + 3791*T1*T2^2 - 
      5442*T1^2*T2^2 - 4810*T1^3*T2^2 + 19108*T1^4*T2^2 - 15610*T1^5*T2^2 + 
      4158*T1^6*T2^2 + 391*T1^7*T2^2 - 174*T1^8*T2^2 + 815*T2^3 - 
      3743*T1*T2^3 - 4810*T1^2*T2^3 + 37056*T1^3*T2^3 - 54495*T1^4*T2^3 + 
      19813*T1^5*T2^3 + 11204*T1^6*T2^3 - 9960*T1^7*T2^3 + 1799*T1^8*T2^3 - 
      37*T1^9*T2^3 - 574*T2^4 + 371*T1*T2^4 + 19108*T1^2*T2^4 - 
      54495*T1^3*T2^4 + 35670*T1^4*T2^4 + 49132*T1^5*T2^4 - 75486*T1^6*T2^4 + 
      32977*T1^7*T2^4 - 1930*T1^8*T2^4 - 1601*T1^9*T2^4 + 226*T1^10*T2^4 + 
      195*T2^5 + 1513*T1*T2^5 - 15610*T1^2*T2^5 + 19813*T1^3*T2^5 + 
      49132*T1^4*T2^5 - 145172*T1^5*T2^5 + 116758*T1^6*T2^5 - 
      11068*T1^7*T2^5 - 28167*T1^8*T2^5 + 12140*T1^9*T2^5 - 697*T1^10*T2^5 - 
      145*T1^11*T2^5 - 23*T2^6 - 880*T1*T2^6 + 4158*T1^2*T2^6 + 
      11204*T1^3*T2^6 - 75486*T1^4*T2^6 + 116758*T1^5*T2^6 - 
      24072*T1^6*T2^6 - 98162*T1^7*T2^6 + 83638*T1^8*T2^6 - 17700*T1^9*T2^6 - 
      4294*T1^10*T2^6 + 1024*T1^11*T2^6 + 25*T1^12*T2^6 + 127*T1*T2^7 + 
      391*T1^2*T2^7 - 9960*T1^3*T2^7 + 32977*T1^4*T2^7 - 11068*T1^5*T2^7 - 
      98162*T1^6*T2^7 + 163768*T1^7*T2^7 - 71268*T1^8*T2^7 - 
      15003*T1^9*T2^7 + 17790*T1^10*T2^7 - 1819*T1^11*T2^7 - 213*T1^12*T2^7 - 
      174*T1^2*T2^8 + 1799*T1^3*T2^8 - 1930*T1^4*T2^8 - 28167*T1^5*T2^8 + 
      83638*T1^6*T2^8 - 71268*T1^7*T2^8 - 27518*T1^8*T2^8 + 59305*T1^9*T2^8 - 
      22968*T1^10*T2^8 - 173*T1^11*T2^8 + 626*T1^12*T2^8 - 37*T1^3*T2^9 - 
      1601*T1^4*T2^9 + 12140*T1^5*T2^9 - 17700*T1^6*T2^9 - 15003*T1^7*T2^9 + 
      59305*T1^8*T2^9 - 43552*T1^9*T2^9 + 6990*T1^10*T2^9 + 3941*T1^11*T2^9 - 
      889*T1^12*T2^9 + 226*T1^4*T2^10 - 697*T1^5*T2^10 - 4294*T1^6*T2^10 + 
      17790*T1^7*T2^10 - 22968*T1^8*T2^10 + 6990*T1^9*T2^10 + 
      5306*T1^10*T2^10 - 4097*T1^11*T2^10 + 626*T1^12*T2^10 - 
      145*T1^5*T2^11 + 1024*T1^6*T2^11 - 1819*T1^7*T2^11 - 173*T1^8*T2^11 + 
      3941*T1^9*T2^11 - 4097*T1^10*T2^11 + 1670*T1^11*T2^11 - 
      213*T1^12*T2^11 + 25*T1^6*T2^12 - 213*T1^7*T2^12 + 626*T1^8*T2^12 - 
      889*T1^9*T2^12 + 626*T1^10*T2^12 - 213*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1056] -> 
  {-((2 - 10*T + 28*T^2 - 52*T^3 + 63*T^4 - 52*T^5 + 28*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 569*T1^2 + 1055*T1^3 - 1277*T1^4 + 1055*T1^5 - 
      569*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 2019*T1^2*T2 - 
      2981*T1^3*T2 + 2146*T1^4*T2 - 154*T1^5*T2 - 1381*T1^6*T2 + 
      1259*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 569*T2^2 + 2019*T1*T2^2 - 
      4187*T1^2*T2^2 + 5029*T1^3*T2^2 - 1477*T1^4*T2^2 - 1983*T1^5*T2^2 + 
      2443*T1^6*T2^2 + 325*T1^7*T2^2 - 1275*T1^8*T2^2 + 899*T1^9*T2^2 - 
      345*T1^10*T2^2 + 1055*T2^3 - 2981*T1*T2^3 + 5029*T1^2*T2^3 - 
      3638*T1^3*T2^3 - 4141*T1^4*T2^3 + 5716*T1^5*T2^3 - 1524*T1^6*T2^3 - 
      4517*T1^7*T2^3 + 2570*T1^8*T2^3 - 347*T1^9*T2^3 - 421*T1^10*T2^3 + 
      431*T1^11*T2^3 - 1277*T2^4 + 2146*T1*T2^4 - 1477*T1^2*T2^4 - 
      4141*T1^3*T2^4 + 13074*T1^4*T2^4 - 4097*T1^5*T2^4 - 6978*T1^6*T2^4 + 
      11135*T1^7*T2^4 + 138*T1^8*T2^4 - 3309*T1^9*T2^4 + 2235*T1^10*T2^4 - 
      814*T1^11*T2^4 - 269*T1^12*T2^4 + 1055*T2^5 - 154*T1*T2^5 - 
      1983*T1^2*T2^5 + 5716*T1^3*T2^5 - 4097*T1^4*T2^5 - 20188*T1^5*T2^5 + 
      25125*T1^6*T2^5 - 10875*T1^7*T2^5 - 13598*T1^8*T2^5 + 9875*T1^9*T2^5 - 
      2692*T1^10*T2^5 - 555*T1^11*T2^5 + 1266*T1^12*T2^5 + 15*T1^13*T2^5 - 
      569*T2^6 - 1381*T1*T2^6 + 2443*T1^2*T2^6 - 1524*T1^3*T2^6 - 
      6978*T1^4*T2^6 + 25125*T1^5*T2^6 - 1228*T1^6*T2^6 - 30432*T1^7*T2^6 + 
      43628*T1^8*T2^6 - 13643*T1^9*T2^6 - 2242*T1^10*T2^6 + 3964*T1^11*T2^6 - 
      1893*T1^12*T2^6 - 581*T1^13*T2^6 + 103*T1^14*T2^6 + 204*T2^7 + 
      1259*T1*T2^7 + 325*T1^2*T2^7 - 4517*T1^3*T2^7 + 11135*T1^4*T2^7 - 
      10875*T1^5*T2^7 - 30432*T1^6*T2^7 + 49236*T1^7*T2^7 - 29584*T1^8*T2^7 - 
      15536*T1^9*T2^7 + 19589*T1^10*T2^7 - 7877*T1^11*T2^7 + 691*T1^12*T2^7 + 
      1669*T1^13*T2^7 - 141*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 1275*T1^2*T2^8 + 2570*T1^3*T2^8 + 138*T1^4*T2^8 - 
      13598*T1^5*T2^8 + 43628*T1^6*T2^8 - 29584*T1^7*T2^8 - 13188*T1^8*T2^8 + 
      43264*T1^9*T2^8 - 22516*T1^10*T2^8 + 74*T1^11*T2^8 + 4682*T1^12*T2^8 - 
      2838*T1^13*T2^8 - 107*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 899*T1^2*T2^9 - 347*T1^3*T2^9 - 3309*T1^4*T2^9 + 
      9875*T1^5*T2^9 - 13643*T1^6*T2^9 - 15536*T1^7*T2^9 + 43264*T1^8*T2^9 - 
      35556*T1^9*T2^9 - 640*T1^10*T2^9 + 16821*T1^11*T2^9 - 9137*T1^12*T2^9 + 
      1899*T1^13*T2^9 + 997*T1^14*T2^9 - 501*T1^15*T2^9 - 116*T1^16*T2^9 - 
      345*T1^2*T2^10 - 421*T1^3*T2^10 + 2235*T1^4*T2^10 - 2692*T1^5*T2^10 - 
      2242*T1^6*T2^10 + 19589*T1^7*T2^10 - 22516*T1^8*T2^10 - 
      640*T1^9*T2^10 + 22340*T1^10*T2^10 - 19179*T1^11*T2^10 + 
      2494*T1^12*T2^10 + 2796*T1^13*T2^10 - 2101*T1^14*T2^10 + 
      379*T1^15*T2^10 + 327*T1^16*T2^10 + 431*T1^3*T2^11 - 814*T1^4*T2^11 - 
      555*T1^5*T2^11 + 3964*T1^6*T2^11 - 7877*T1^7*T2^11 + 74*T1^8*T2^11 + 
      16821*T1^9*T2^11 - 19179*T1^10*T2^11 + 6664*T1^11*T2^11 + 
      6095*T1^12*T2^11 - 4444*T1^13*T2^11 + 873*T1^14*T2^11 + 
      606*T1^15*T2^11 - 609*T1^16*T2^11 - 269*T1^4*T2^12 + 1266*T1^5*T2^12 - 
      1893*T1^6*T2^12 + 691*T1^7*T2^12 + 4682*T1^8*T2^12 - 9137*T1^9*T2^12 + 
      2494*T1^10*T2^12 + 6095*T1^11*T2^12 - 8254*T1^12*T2^12 + 
      1523*T1^13*T2^12 + 1819*T1^14*T2^12 - 1694*T1^15*T2^12 + 
      739*T1^16*T2^12 + 15*T1^5*T2^13 - 581*T1^6*T2^13 + 1669*T1^7*T2^13 - 
      2838*T1^8*T2^13 + 1899*T1^9*T2^13 + 2796*T1^10*T2^13 - 
      4444*T1^11*T2^13 + 1523*T1^12*T2^13 + 3370*T1^13*T2^13 - 
      3707*T1^14*T2^13 + 1979*T1^15*T2^13 - 609*T1^16*T2^13 + 
      103*T1^6*T2^14 - 141*T1^7*T2^14 - 107*T1^8*T2^14 + 997*T1^9*T2^14 - 
      2101*T1^10*T2^14 + 873*T1^11*T2^14 + 1819*T1^12*T2^14 - 
      3707*T1^13*T2^14 + 2805*T1^14*T2^14 - 1261*T1^15*T2^14 + 
      327*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 501*T1^9*T2^15 + 
      379*T1^10*T2^15 + 606*T1^11*T2^15 - 1694*T1^12*T2^15 + 
      1979*T1^13*T2^15 - 1261*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 327*T1^10*T2^16 - 
      609*T1^11*T2^16 + 739*T1^12*T2^16 - 609*T1^13*T2^16 + 327*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1057] -> 
  {-((3 - 22*T + 59*T^2 - 81*T^3 + 59*T^4 - 22*T^5 + 3*T^6)/T^3), 
   -((-84 + 617*T1 - 1655*T1^2 + 2274*T1^3 - 1655*T1^4 + 617*T1^5 - 84*T1^6 + 
      617*T2 - 4114*T1*T2 + 9087*T1^2*T2 - 8449*T1^3*T2 + 791*T1^4*T2 + 
      3741*T1^5*T2 - 2464*T1^6*T2 + 419*T1^7*T2 - 1655*T2^2 + 9087*T1*T2^2 - 
      10564*T1^2*T2^2 - 11767*T1^3*T2^2 + 39536*T1^4*T2^2 - 32653*T1^5*T2^2 + 
      9260*T1^6*T2^2 + 1299*T1^7*T2^2 - 593*T1^8*T2^2 + 2274*T2^3 - 
      8449*T1*T2^3 - 11767*T1^2*T2^3 + 70137*T1^3*T2^3 - 94122*T1^4*T2^3 + 
      28549*T1^5*T2^3 + 26235*T1^6*T2^3 - 22328*T1^7*T2^3 + 3695*T1^8*T2^3 + 
      87*T1^9*T2^3 - 1655*T2^4 + 791*T1*T2^4 + 39536*T1^2*T2^4 - 
      94122*T1^3*T2^4 + 47681*T1^4*T2^4 + 93439*T1^5*T2^4 - 
      122947*T1^6*T2^4 + 48114*T1^7*T2^4 + 2900*T1^8*T2^4 - 4093*T1^9*T2^4 + 
      469*T1^10*T2^4 + 617*T2^5 + 3741*T1*T2^5 - 32653*T1^2*T2^5 + 
      28549*T1^3*T2^5 + 93439*T1^4*T2^5 - 221781*T1^5*T2^5 + 
      140115*T1^6*T2^5 + 13966*T1^7*T2^5 - 54992*T1^8*T2^5 + 
      19208*T1^9*T2^5 - 681*T1^10*T2^5 - 373*T1^11*T2^5 - 84*T2^6 - 
      2464*T1*T2^6 + 9260*T1^2*T2^6 + 26235*T1^3*T2^6 - 122947*T1^4*T2^6 + 
      140115*T1^5*T2^6 + 29748*T1^6*T2^6 - 163415*T1^7*T2^6 + 
      113295*T1^8*T2^6 - 17079*T1^9*T2^6 - 9260*T1^10*T2^6 + 
      2156*T1^11*T2^6 + 78*T1^12*T2^6 + 419*T1*T2^7 + 1299*T1^2*T2^7 - 
      22328*T1^3*T2^7 + 48114*T1^4*T2^7 + 13966*T1^5*T2^7 - 
      163415*T1^6*T2^7 + 198481*T1^7*T2^7 - 65507*T1^8*T2^7 - 
      35427*T1^9*T2^7 + 29533*T1^10*T2^7 - 3123*T1^11*T2^7 - 571*T1^12*T2^7 - 
      593*T1^2*T2^8 + 3695*T1^3*T2^8 + 2900*T1^4*T2^8 - 54992*T1^5*T2^8 + 
      113295*T1^6*T2^8 - 65507*T1^7*T2^8 - 57333*T1^8*T2^8 + 
      87244*T1^9*T2^8 - 33736*T1^10*T2^8 - 1189*T1^11*T2^8 + 
      1531*T1^12*T2^8 + 87*T1^3*T2^9 - 4093*T1^4*T2^9 + 19208*T1^5*T2^9 - 
      17079*T1^6*T2^9 - 35427*T1^7*T2^9 + 87244*T1^8*T2^9 - 60981*T1^9*T2^9 + 
      8647*T1^10*T2^9 + 8051*T1^11*T2^9 - 2100*T1^12*T2^9 + 469*T1^4*T2^10 - 
      681*T1^5*T2^10 - 9260*T1^6*T2^10 + 29533*T1^7*T2^10 - 
      33736*T1^8*T2^10 + 8647*T1^9*T2^10 + 10564*T1^10*T2^10 - 
      8469*T1^11*T2^10 + 1531*T1^12*T2^10 - 373*T1^5*T2^11 + 
      2156*T1^6*T2^11 - 3123*T1^7*T2^11 - 1189*T1^8*T2^11 + 8051*T1^9*T2^11 - 
      8469*T1^10*T2^11 + 3806*T1^11*T2^11 - 571*T1^12*T2^11 + 78*T1^6*T2^12 - 
      571*T1^7*T2^12 + 1531*T1^8*T2^12 - 2100*T1^9*T2^12 + 1531*T1^10*T2^12 - 
      571*T1^11*T2^12 + 78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1058] -> 
  {-((2 - 18*T + 53*T^2 - 75*T^3 + 53*T^4 - 18*T^5 + 2*T^6)/T^3), 
   -((-23 + 207*T1 - 610*T1^2 + 863*T1^3 - 610*T1^4 + 207*T1^5 - 23*T1^6 + 
      207*T2 - 1728*T1*T2 + 4271*T1^2*T2 - 4181*T1^3*T2 + 427*T1^4*T2 + 
      1715*T1^5*T2 - 1008*T1^6*T2 + 135*T1^7*T2 - 610*T2^2 + 4271*T1*T2^2 - 
      5439*T1^2*T2^2 - 7508*T1^3*T2^2 + 24165*T1^4*T2^2 - 19592*T1^5*T2^2 + 
      5373*T1^6*T2^2 + 455*T1^7*T2^2 - 186*T1^8*T2^2 + 863*T2^3 - 
      4181*T1*T2^3 - 7508*T1^2*T2^3 + 46814*T1^3*T2^3 - 66123*T1^4*T2^3 + 
      24039*T1^5*T2^3 + 13730*T1^6*T2^3 - 12278*T1^7*T2^3 + 2011*T1^8*T2^3 - 
      37*T1^9*T2^3 - 610*T2^4 + 427*T1*T2^4 + 24165*T1^2*T2^4 - 
      66123*T1^3*T2^4 + 41309*T1^4*T2^4 + 59467*T1^5*T2^4 - 90967*T1^6*T2^4 + 
      39777*T1^7*T2^4 - 1963*T1^8*T2^4 - 1805*T1^9*T2^4 + 238*T1^10*T2^4 + 
      207*T2^5 + 1715*T1*T2^5 - 19592*T1^2*T2^5 + 24039*T1^3*T2^5 + 
      59467*T1^4*T2^5 - 171811*T1^5*T2^5 + 137387*T1^6*T2^5 - 
      11924*T1^7*T2^5 - 34647*T1^8*T2^5 + 14434*T1^9*T2^5 - 769*T1^10*T2^5 - 
      153*T1^11*T2^5 - 23*T2^6 - 1008*T1*T2^6 + 5373*T1^2*T2^6 + 
      13730*T1^3*T2^6 - 90967*T1^4*T2^6 + 137387*T1^5*T2^6 - 
      26220*T1^6*T2^6 - 117175*T1^7*T2^6 + 99623*T1^8*T2^6 - 
      20506*T1^9*T2^6 - 5447*T1^10*T2^6 + 1152*T1^11*T2^6 + 25*T1^12*T2^6 + 
      135*T1*T2^7 + 455*T1^2*T2^7 - 12278*T1^3*T2^7 + 39777*T1^4*T2^7 - 
      11924*T1^5*T2^7 - 117175*T1^6*T2^7 + 192023*T1^7*T2^7 - 
      83315*T1^8*T2^7 - 18909*T1^9*T2^7 + 21748*T1^10*T2^7 - 
      2029*T1^11*T2^7 - 225*T1^12*T2^7 - 186*T1^2*T2^8 + 2011*T1^3*T2^8 - 
      1963*T1^4*T2^8 - 34647*T1^5*T2^8 + 99623*T1^6*T2^8 - 83315*T1^7*T2^8 - 
      32653*T1^8*T2^8 + 71253*T1^9*T2^8 - 28091*T1^10*T2^8 - 221*T1^11*T2^8 + 
      662*T1^12*T2^8 - 37*T1^3*T2^9 - 1805*T1^4*T2^9 + 14434*T1^5*T2^9 - 
      20506*T1^6*T2^9 - 18909*T1^7*T2^9 + 71253*T1^8*T2^9 - 53590*T1^9*T2^9 + 
      9664*T1^10*T2^9 + 4387*T1^11*T2^9 - 937*T1^12*T2^9 + 238*T1^4*T2^10 - 
      769*T1^5*T2^10 - 5447*T1^6*T2^10 + 21748*T1^7*T2^10 - 
      28091*T1^8*T2^10 + 9664*T1^9*T2^10 + 5365*T1^10*T2^10 - 
      4585*T1^11*T2^10 + 662*T1^12*T2^10 - 153*T1^5*T2^11 + 1152*T1^6*T2^11 - 
      2029*T1^7*T2^11 - 221*T1^8*T2^11 + 4387*T1^9*T2^11 - 4585*T1^10*T2^11 + 
      1872*T1^11*T2^11 - 225*T1^12*T2^11 + 25*T1^6*T2^12 - 225*T1^7*T2^12 + 
      662*T1^8*T2^12 - 937*T1^9*T2^12 + 662*T1^10*T2^12 - 225*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1059] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-57 + 283*T1 - 646*T1^2 + 1006*T1^3 - 1143*T1^4 + 1006*T1^5 - 
      646*T1^6 + 283*T1^7 - 57*T1^8 + 283*T2 - 1164*T1*T2 + 2011*T1^2*T2 - 
      2260*T1^3*T2 + 1407*T1^4*T2 - 133*T1^5*T2 - 1080*T1^6*T2 + 
      1351*T1^7*T2 - 924*T1^8*T2 + 243*T1^9*T2 - 646*T2^2 + 2011*T1*T2^2 - 
      1835*T1^2*T2^2 + 48*T1^3*T2^2 + 3134*T1^4*T2^2 - 4737*T1^5*T2^2 + 
      4790*T1^6*T2^2 - 2344*T1^7*T2^2 + 97*T1^8*T2^2 + 1091*T1^9*T2^2 - 
      462*T1^10*T2^2 + 1006*T2^3 - 2260*T1*T2^3 + 48*T1^2*T2^3 + 
      2816*T1^3*T2^3 - 5576*T1^4*T2^3 + 3736*T1^5*T2^3 - 1230*T1^6*T2^3 - 
      3022*T1^7*T2^3 + 3434*T1^8*T2^3 - 2160*T1^9*T2^3 - 560*T1^10*T2^3 + 
      574*T1^11*T2^3 - 1143*T2^4 + 1407*T1*T2^4 + 3134*T1^2*T2^4 - 
      5576*T1^3*T2^4 + 6964*T1^4*T2^4 - 2577*T1^5*T2^4 + 1130*T1^6*T2^4 + 
      1855*T1^7*T2^4 + 1036*T1^8*T2^4 - 2264*T1^9*T2^4 + 3478*T1^10*T2^4 - 
      433*T1^11*T2^4 - 487*T1^12*T2^4 + 1006*T2^5 - 133*T1*T2^5 - 
      4737*T1^2*T2^5 + 3736*T1^3*T2^5 - 2577*T1^4*T2^5 - 2922*T1^5*T2^5 + 
      1031*T1^6*T2^5 - 2035*T1^7*T2^5 - 3120*T1^8*T2^5 + 2079*T1^9*T2^5 - 
      1658*T1^10*T2^5 - 2373*T1^11*T2^5 + 1007*T1^12*T2^5 + 286*T1^13*T2^5 - 
      646*T2^6 - 1080*T1*T2^6 + 4790*T1^2*T2^6 - 1230*T1^3*T2^6 + 
      1130*T1^4*T2^6 + 1031*T1^5*T2^6 + 5041*T1^6*T2^6 - 3929*T1^7*T2^6 + 
      7345*T1^8*T2^6 - 1781*T1^9*T2^6 + 212*T1^10*T2^6 + 3094*T1^11*T2^6 + 
      510*T1^12*T2^6 - 960*T1^13*T2^6 - 94*T1^14*T2^6 + 283*T2^7 + 
      1351*T1*T2^7 - 2344*T1^2*T2^7 - 3022*T1^3*T2^7 + 1855*T1^4*T2^7 - 
      2035*T1^5*T2^7 - 3929*T1^6*T2^7 + 736*T1^7*T2^7 - 2630*T1^8*T2^7 - 
      3049*T1^9*T2^7 + 1539*T1^10*T2^7 - 1905*T1^11*T2^7 - 2544*T1^12*T2^7 + 
      968*T1^13*T2^7 + 451*T1^14*T2^7 + 3*T1^15*T2^7 - 57*T2^8 - 
      924*T1*T2^8 + 97*T1^2*T2^8 + 3434*T1^3*T2^8 + 1036*T1^4*T2^8 - 
      3120*T1^5*T2^8 + 7345*T1^6*T2^8 - 2630*T1^7*T2^8 + 3276*T1^8*T2^8 + 
      1290*T1^9*T2^8 + 1613*T1^10*T2^8 - 1416*T1^11*T2^8 + 3496*T1^12*T2^8 + 
      106*T1^13*T2^8 - 935*T1^14*T2^8 - 44*T1^15*T2^8 + 7*T1^16*T2^8 + 
      243*T1*T2^9 + 1091*T1^2*T2^9 - 2160*T1^3*T2^9 - 2264*T1^4*T2^9 + 
      2079*T1^5*T2^9 - 1781*T1^6*T2^9 - 3049*T1^7*T2^9 + 1290*T1^8*T2^9 - 
      2076*T1^9*T2^9 - 2169*T1^10*T2^9 + 1793*T1^11*T2^9 - 1681*T1^12*T2^9 - 
      1786*T1^13*T2^9 + 1152*T1^14*T2^9 + 191*T1^15*T2^9 - 37*T1^16*T2^9 - 
      462*T1^2*T2^10 - 560*T1^3*T2^10 + 3478*T1^4*T2^10 - 1658*T1^5*T2^10 + 
      212*T1^6*T2^10 + 1539*T1^7*T2^10 + 1613*T1^8*T2^10 - 2169*T1^9*T2^10 + 
      3917*T1^10*T2^10 - 1273*T1^11*T2^10 - 706*T1^12*T2^10 + 
      2666*T1^13*T2^10 - 802*T1^14*T2^10 - 440*T1^15*T2^10 + 90*T1^16*T2^10 + 
      574*T1^3*T2^11 - 433*T1^4*T2^11 - 2373*T1^5*T2^11 + 3094*T1^6*T2^11 - 
      1905*T1^7*T2^11 - 1416*T1^8*T2^11 + 1793*T1^9*T2^11 - 
      1273*T1^10*T2^11 - 1614*T1^11*T2^11 + 2751*T1^12*T2^11 - 
      2300*T1^13*T2^11 - 9*T1^14*T2^11 + 707*T1^15*T2^11 - 146*T1^16*T2^11 - 
      487*T1^4*T2^12 + 1007*T1^5*T2^12 + 510*T1^6*T2^12 - 2544*T1^7*T2^12 + 
      3496*T1^8*T2^12 - 1681*T1^9*T2^12 - 706*T1^10*T2^12 + 
      2751*T1^11*T2^12 - 2432*T1^12*T2^12 + 768*T1^13*T2^12 + 
      854*T1^14*T2^12 - 833*T1^15*T2^12 + 169*T1^16*T2^12 + 286*T1^5*T2^13 - 
      960*T1^6*T2^13 + 968*T1^7*T2^13 + 106*T1^8*T2^13 - 1786*T1^9*T2^13 + 
      2666*T1^10*T2^13 - 2300*T1^11*T2^13 + 768*T1^12*T2^13 + 
      724*T1^13*T2^13 - 1240*T1^14*T2^13 + 740*T1^15*T2^13 - 
      146*T1^16*T2^13 - 94*T1^6*T2^14 + 451*T1^7*T2^14 - 935*T1^8*T2^14 + 
      1152*T1^9*T2^14 - 802*T1^10*T2^14 - 9*T1^11*T2^14 + 854*T1^12*T2^14 - 
      1240*T1^13*T2^14 + 997*T1^14*T2^14 - 469*T1^15*T2^14 + 90*T1^16*T2^14 + 
      3*T1^7*T2^15 - 44*T1^8*T2^15 + 191*T1^9*T2^15 - 440*T1^10*T2^15 + 
      707*T1^11*T2^15 - 833*T1^12*T2^15 + 740*T1^13*T2^15 - 469*T1^14*T2^15 + 
      196*T1^15*T2^15 - 37*T1^16*T2^15 + 7*T1^8*T2^16 - 37*T1^9*T2^16 + 
      90*T1^10*T2^16 - 146*T1^11*T2^16 + 169*T1^12*T2^16 - 146*T1^13*T2^16 + 
      90*T1^14*T2^16 - 37*T1^15*T2^16 + 7*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1060] -> 
  {-(((1 - T + T^2)*(2 - 7*T + 13*T^2 - 17*T^3 + 13*T^4 - 7*T^5 + 2*T^6))/
     T^4), -((-41 + 184*T1 - 449*T1^2 + 755*T1^3 - 877*T1^4 + 755*T1^5 - 
      449*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1352*T1^2*T2 - 
      1770*T1^3*T2 + 1214*T1^4*T2 - 226*T1^5*T2 - 708*T1^6*T2 + 794*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 449*T2^2 + 1352*T1*T2^2 - 2206*T1^2*T2^2 + 
      2203*T1^3*T2^2 - 322*T1^4*T2^2 - 978*T1^5*T2^2 + 1526*T1^6*T2^2 - 
      261*T1^7*T2^2 - 446*T1^8*T2^2 + 560*T1^9*T2^2 - 273*T1^10*T2^2 + 
      755*T2^3 - 1770*T1*T2^3 + 2203*T1^2*T2^3 - 1302*T1^3*T2^3 - 
      1753*T1^4*T2^3 + 1692*T1^5*T2^3 - 1050*T1^6*T2^3 - 1615*T1^7*T2^3 + 
      1218*T1^8*T2^3 - 503*T1^9*T2^3 - 168*T1^10*T2^3 + 311*T1^11*T2^3 - 
      877*T2^4 + 1214*T1*T2^4 - 322*T1^2*T2^4 - 1753*T1^3*T2^4 + 
      4936*T1^4*T2^4 - 1694*T1^5*T2^4 + 208*T1^6*T2^4 + 2660*T1^7*T2^4 + 
      392*T1^8*T2^4 - 1161*T1^9*T2^4 + 1252*T1^10*T2^4 - 550*T1^11*T2^4 - 
      189*T1^12*T2^4 + 755*T2^5 - 226*T1*T2^5 - 978*T1^2*T2^5 + 
      1692*T1^3*T2^5 - 1694*T1^4*T2^5 - 5251*T1^5*T2^5 + 4317*T1^6*T2^5 - 
      3774*T1^7*T2^5 - 3167*T1^8*T2^5 + 2441*T1^9*T2^5 - 1206*T1^10*T2^5 - 
      297*T1^11*T2^5 + 782*T1^12*T2^5 + 15*T1^13*T2^5 - 449*T2^6 - 
      708*T1*T2^6 + 1526*T1^2*T2^6 - 1050*T1^3*T2^6 + 208*T1^4*T2^6 + 
      4317*T1^5*T2^6 + 3161*T1^6*T2^6 - 6157*T1^7*T2^6 + 10877*T1^8*T2^6 - 
      3815*T1^9*T2^6 + 116*T1^10*T2^6 + 1458*T1^11*T2^6 - 870*T1^12*T2^6 - 
      420*T1^13*T2^6 + 79*T1^14*T2^6 + 184*T2^7 + 794*T1*T2^7 - 
      261*T1^2*T2^7 - 1615*T1^3*T2^7 + 2660*T1^4*T2^7 - 3774*T1^5*T2^7 - 
      6157*T1^6*T2^7 + 6597*T1^7*T2^7 - 5909*T1^8*T2^7 - 3434*T1^9*T2^7 + 
      4235*T1^10*T2^7 - 2351*T1^11*T2^7 + 63*T1^12*T2^7 + 993*T1^13*T2^7 - 
      52*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 446*T1^2*T2^8 + 
      1218*T1^3*T2^8 + 392*T1^4*T2^8 - 3167*T1^5*T2^8 + 10877*T1^6*T2^8 - 
      5909*T1^7*T2^8 + 204*T1^8*T2^8 + 6813*T1^9*T2^8 - 3689*T1^10*T2^8 - 
      325*T1^11*T2^8 + 1736*T1^12*T2^8 - 1222*T1^13*T2^8 - 244*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 560*T1^2*T2^9 - 
      503*T1^3*T2^9 - 1161*T1^4*T2^9 + 2441*T1^5*T2^9 - 3815*T1^6*T2^9 - 
      3434*T1^7*T2^9 + 6813*T1^8*T2^9 - 5693*T1^9*T2^9 - 711*T1^10*T2^9 + 
      4194*T1^11*T2^9 - 2570*T1^12*T2^9 + 517*T1^13*T2^9 + 751*T1^14*T2^9 - 
      286*T1^15*T2^9 - 104*T1^16*T2^9 - 273*T1^2*T2^10 - 168*T1^3*T2^10 + 
      1252*T1^4*T2^10 - 1206*T1^5*T2^10 + 116*T1^6*T2^10 + 4235*T1^7*T2^10 - 
      3689*T1^8*T2^10 - 711*T1^9*T2^10 + 4027*T1^10*T2^10 - 
      3897*T1^11*T2^10 + 24*T1^12*T2^10 + 1302*T1^13*T2^10 - 
      1144*T1^14*T2^10 + 120*T1^15*T2^10 + 255*T1^16*T2^10 + 311*T1^3*T2^11 - 
      550*T1^4*T2^11 - 297*T1^5*T2^11 + 1458*T1^6*T2^11 - 2351*T1^7*T2^11 - 
      325*T1^8*T2^11 + 4194*T1^9*T2^11 - 3897*T1^10*T2^11 + 
      1759*T1^11*T2^11 + 1784*T1^12*T2^11 - 1440*T1^13*T2^11 + 
      384*T1^14*T2^11 + 458*T1^15*T2^11 - 429*T1^16*T2^11 - 189*T1^4*T2^12 + 
      782*T1^5*T2^12 - 870*T1^6*T2^12 + 63*T1^7*T2^12 + 1736*T1^8*T2^12 - 
      2570*T1^9*T2^12 + 24*T1^10*T2^12 + 1784*T1^11*T2^12 - 
      2808*T1^12*T2^12 + 655*T1^13*T2^12 + 704*T1^14*T2^12 - 
      982*T1^15*T2^12 + 499*T1^16*T2^12 + 15*T1^5*T2^13 - 420*T1^6*T2^13 + 
      993*T1^7*T2^13 - 1222*T1^8*T2^13 + 517*T1^9*T2^13 + 1302*T1^10*T2^13 - 
      1440*T1^11*T2^13 + 655*T1^12*T2^13 + 1298*T1^13*T2^13 - 
      1713*T1^14*T2^13 + 1182*T1^15*T2^13 - 429*T1^16*T2^13 + 79*T1^6*T2^14 - 
      52*T1^7*T2^14 - 244*T1^8*T2^14 + 751*T1^9*T2^14 - 1144*T1^10*T2^14 + 
      384*T1^11*T2^14 + 704*T1^12*T2^14 - 1713*T1^13*T2^14 + 
      1516*T1^14*T2^14 - 844*T1^15*T2^14 + 255*T1^16*T2^14 - 68*T1^7*T2^15 + 
      204*T1^8*T2^15 - 286*T1^9*T2^15 + 120*T1^10*T2^15 + 458*T1^11*T2^15 - 
      982*T1^12*T2^15 + 1182*T1^13*T2^15 - 844*T1^14*T2^15 + 
      402*T1^15*T2^15 - 104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 
      255*T1^10*T2^16 - 429*T1^11*T2^16 + 499*T1^12*T2^16 - 429*T1^13*T2^16 + 
      255*T1^14*T2^16 - 104*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1061] -> 
  {-(((1 - T + T^2)*(2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6))/
     T^4), -((-41 + 224*T1 - 629*T1^2 + 1134*T1^3 - 1355*T1^4 + 1134*T1^5 - 
      629*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1044*T1*T2 + 2455*T1^2*T2 - 
      3441*T1^3*T2 + 2440*T1^4*T2 - 266*T1^5*T2 - 1527*T1^6*T2 + 
      1531*T1^7*T2 - 758*T1^8*T2 + 180*T1^9*T2 - 629*T2^2 + 2455*T1*T2^2 - 
      4665*T1^2*T2^2 + 4403*T1^3*T2^2 + 562*T1^4*T2^2 - 4607*T1^5*T2^2 + 
      5026*T1^6*T2^2 - 1177*T1^7*T2^2 - 1069*T1^8*T2^2 + 1091*T1^9*T2^2 - 
      381*T1^10*T2^2 + 1134*T2^3 - 3441*T1*T2^3 + 4403*T1^2*T2^3 + 
      99*T1^3*T2^3 - 9569*T1^4*T2^3 + 9621*T1^5*T2^3 - 3090*T1^6*T2^3 - 
      6110*T1^7*T2^3 + 5265*T1^8*T2^3 - 1580*T1^9*T2^3 - 427*T1^10*T2^3 + 
      462*T1^11*T2^3 - 1355*T2^4 + 2440*T1*T2^4 + 562*T1^2*T2^4 - 
      9569*T1^3*T2^4 + 16978*T1^4*T2^4 - 2895*T1^5*T2^4 - 10920*T1^6*T2^4 + 
      17337*T1^7*T2^4 - 3622*T1^8*T2^4 - 3857*T1^9*T2^4 + 3626*T1^10*T2^4 - 
      992*T1^11*T2^4 - 283*T1^12*T2^4 + 1134*T2^5 - 266*T1*T2^5 - 
      4607*T1^2*T2^5 + 9621*T1^3*T2^5 - 2895*T1^4*T2^5 - 25767*T1^5*T2^5 + 
      29504*T1^6*T2^5 - 15187*T1^7*T2^5 - 14713*T1^8*T2^5 + 14911*T1^9*T2^5 - 
      4992*T1^10*T2^5 - 1118*T1^11*T2^5 + 1472*T1^12*T2^5 + 14*T1^13*T2^5 - 
      629*T2^6 - 1527*T1*T2^6 + 5026*T1^2*T2^6 - 3090*T1^3*T2^6 - 
      10920*T1^4*T2^6 + 29504*T1^5*T2^6 - 2473*T1^6*T2^6 - 28209*T1^7*T2^6 + 
      46979*T1^8*T2^6 - 18098*T1^9*T2^6 - 3514*T1^10*T2^6 + 6768*T1^11*T2^6 - 
      2238*T1^12*T2^6 - 691*T1^13*T2^6 + 115*T1^14*T2^6 + 224*T2^7 + 
      1531*T1*T2^7 - 1177*T1^2*T2^7 - 6110*T1^3*T2^7 + 17337*T1^4*T2^7 - 
      15187*T1^5*T2^7 - 28209*T1^6*T2^7 + 45729*T1^7*T2^7 - 32279*T1^8*T2^7 - 
      13893*T1^9*T2^7 + 23682*T1^10*T2^7 - 10173*T1^11*T2^7 - 
      557*T1^12*T2^7 + 2388*T1^13*T2^7 - 185*T1^14*T2^7 - 84*T1^15*T2^7 - 
      41*T2^8 - 758*T1*T2^8 - 1069*T1^2*T2^8 + 5265*T1^3*T2^8 - 
      3622*T1^4*T2^8 - 14713*T1^5*T2^8 + 46979*T1^6*T2^8 - 32279*T1^7*T2^8 - 
      6756*T1^8*T2^8 + 41235*T1^9*T2^8 - 25065*T1^10*T2^8 - 1239*T1^11*T2^8 + 
      8038*T1^12*T2^8 - 3761*T1^13*T2^8 - 375*T1^14*T2^8 + 342*T1^15*T2^8 + 
      23*T1^16*T2^8 + 180*T1*T2^9 + 1091*T1^2*T2^9 - 1580*T1^3*T2^9 - 
      3857*T1^4*T2^9 + 14911*T1^5*T2^9 - 18098*T1^6*T2^9 - 13893*T1^7*T2^9 + 
      41235*T1^8*T2^9 - 36773*T1^9*T2^9 + 423*T1^10*T2^9 + 20771*T1^11*T2^9 - 
      12599*T1^12*T2^9 + 1696*T1^13*T2^9 + 1985*T1^14*T2^9 - 625*T1^15*T2^9 - 
      128*T1^16*T2^9 - 381*T1^2*T2^10 - 427*T1^3*T2^10 + 3626*T1^4*T2^10 - 
      4992*T1^5*T2^10 - 3514*T1^6*T2^10 + 23682*T1^7*T2^10 - 
      25065*T1^8*T2^10 + 423*T1^9*T2^10 + 24387*T1^10*T2^10 - 
      23920*T1^11*T2^10 + 3892*T1^12*T2^10 + 4866*T1^13*T2^10 - 
      3638*T1^14*T2^10 + 409*T1^15*T2^10 + 363*T1^16*T2^10 + 462*T1^3*T2^11 - 
      992*T1^4*T2^11 - 1118*T1^5*T2^11 + 6768*T1^6*T2^11 - 10173*T1^7*T2^11 - 
      1239*T1^8*T2^11 + 20771*T1^9*T2^11 - 23920*T1^10*T2^11 + 
      9815*T1^11*T2^11 + 7633*T1^12*T2^11 - 7845*T1^13*T2^11 + 
      2371*T1^14*T2^11 + 746*T1^15*T2^11 - 658*T1^16*T2^11 - 283*T1^4*T2^12 + 
      1472*T1^5*T2^12 - 2238*T1^6*T2^12 - 557*T1^7*T2^12 + 8038*T1^8*T2^12 - 
      12599*T1^9*T2^12 + 3892*T1^10*T2^12 + 7633*T1^11*T2^12 - 
      12562*T1^12*T2^12 + 5155*T1^13*T2^12 + 826*T1^14*T2^12 - 
      1960*T1^15*T2^12 + 789*T1^16*T2^12 + 14*T1^5*T2^13 - 691*T1^6*T2^13 + 
      2388*T1^7*T2^13 - 3761*T1^8*T2^13 + 1696*T1^9*T2^13 + 
      4866*T1^10*T2^13 - 7845*T1^11*T2^13 + 5155*T1^12*T2^13 + 
      1405*T1^13*T2^13 - 3595*T1^14*T2^13 + 2323*T1^15*T2^13 - 
      658*T1^16*T2^13 + 115*T1^6*T2^14 - 185*T1^7*T2^14 - 375*T1^8*T2^14 + 
      1985*T1^9*T2^14 - 3638*T1^10*T2^14 + 2371*T1^11*T2^14 + 
      826*T1^12*T2^14 - 3595*T1^13*T2^14 + 3221*T1^14*T2^14 - 
      1549*T1^15*T2^14 + 363*T1^16*T2^14 - 84*T1^7*T2^15 + 342*T1^8*T2^15 - 
      625*T1^9*T2^15 + 409*T1^10*T2^15 + 746*T1^11*T2^15 - 1960*T1^12*T2^15 + 
      2323*T1^13*T2^15 - 1549*T1^14*T2^15 + 628*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 363*T1^10*T2^16 - 
      658*T1^11*T2^16 + 789*T1^12*T2^16 - 658*T1^13*T2^16 + 363*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1062] -> 
  {-(((1 - T + T^2)*(3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4))/T^3), 
   -((-144 + 714*T1 - 1516*T1^2 + 1942*T1^3 - 1516*T1^4 + 714*T1^5 - 
      144*T1^6 + 714*T2 - 2961*T1*T2 + 4653*T1^2*T2 - 3552*T1^3*T2 - 
      267*T1^4*T2 + 2538*T1^5*T2 - 2151*T1^6*T2 + 579*T1^7*T2 - 1516*T2^2 + 
      4653*T1*T2^2 - 2759*T1^2*T2^2 - 4966*T1^3*T2^2 + 12701*T1^4*T2^2 - 
      9958*T1^5*T2^2 + 2809*T1^6*T2^2 + 1773*T1^7*T2^2 - 940*T1^8*T2^2 + 
      1942*T2^3 - 3552*T1*T2^3 - 4966*T1^2*T2^3 + 15743*T1^3*T2^3 - 
      16966*T1^4*T2^3 + 731*T1^5*T2^3 + 9419*T1^6*T2^3 - 8134*T1^7*T2^3 + 
      543*T1^8*T2^3 + 835*T1^9*T2^3 - 1516*T2^4 - 267*T1*T2^4 + 
      12701*T1^2*T2^4 - 16966*T1^3*T2^4 + 4871*T1^4*T2^4 + 17753*T1^5*T2^4 - 
      15973*T1^6*T2^4 + 2960*T1^7*T2^4 + 6539*T1^8*T2^4 - 2337*T1^9*T2^4 - 
      364*T1^10*T2^4 + 714*T2^5 + 2538*T1*T2^5 - 9958*T1^2*T2^5 + 
      731*T1^3*T2^5 + 17753*T1^4*T2^5 - 27393*T1^5*T2^5 + 4753*T1^6*T2^5 + 
      12249*T1^7*T2^5 - 12508*T1^8*T2^5 + 506*T1^9*T2^5 + 1593*T1^10*T2^5 + 
      39*T1^11*T2^5 - 144*T2^6 - 2151*T1*T2^6 + 2809*T1^2*T2^6 + 
      9419*T1^3*T2^6 - 15973*T1^4*T2^6 + 4753*T1^5*T2^6 + 22068*T1^6*T2^6 - 
      23205*T1^7*T2^6 + 8247*T1^8*T2^6 + 5285*T1^9*T2^6 - 2819*T1^10*T2^6 - 
      261*T1^11*T2^6 + 18*T1^12*T2^6 + 579*T1*T2^7 + 1773*T1^2*T2^7 - 
      8134*T1^3*T2^7 + 2960*T1^4*T2^7 + 12249*T1^5*T2^7 - 23205*T1^6*T2^7 + 
      8941*T1^7*T2^7 + 6745*T1^8*T2^7 - 10279*T1^9*T2^7 + 2330*T1^10*T2^7 + 
      828*T1^11*T2^7 - 96*T1^12*T2^7 - 940*T1^2*T2^8 + 543*T1^3*T2^8 + 
      6539*T1^4*T2^8 - 12508*T1^5*T2^8 + 8247*T1^6*T2^8 + 6745*T1^7*T2^8 - 
      12597*T1^8*T2^8 + 7418*T1^9*T2^8 + 377*T1^10*T2^8 - 1527*T1^11*T2^8 + 
      212*T1^12*T2^8 + 835*T1^3*T2^9 - 2337*T1^4*T2^9 + 506*T1^5*T2^9 + 
      5285*T1^6*T2^9 - 10279*T1^7*T2^9 + 7418*T1^8*T2^9 - 1039*T1^9*T2^9 - 
      2662*T1^10*T2^9 + 1758*T1^11*T2^9 - 272*T1^12*T2^9 - 364*T1^4*T2^10 + 
      1593*T1^5*T2^10 - 2819*T1^6*T2^10 + 2330*T1^7*T2^10 + 377*T1^8*T2^10 - 
      2662*T1^9*T2^10 + 2749*T1^10*T2^10 - 1287*T1^11*T2^10 + 
      212*T1^12*T2^10 + 39*T1^5*T2^11 - 261*T1^6*T2^11 + 828*T1^7*T2^11 - 
      1527*T1^8*T2^11 + 1758*T1^9*T2^11 - 1287*T1^10*T2^11 + 
      549*T1^11*T2^11 - 96*T1^12*T2^11 + 18*T1^6*T2^12 - 96*T1^7*T2^12 + 
      212*T1^8*T2^12 - 272*T1^9*T2^12 + 212*T1^10*T2^12 - 96*T1^11*T2^12 + 
      18*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1063] -> 
  {-((3 - 12*T + 24*T^2 - 31*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-90 + 360*T1 - 720*T1^2 + 932*T1^3 - 720*T1^4 + 360*T1^5 - 90*T1^6 + 
      360*T2 - 1188*T1*T2 + 1872*T1^2*T2 - 1712*T1^3*T2 + 268*T1^4*T2 + 
      576*T1^5*T2 - 648*T1^6*T2 + 252*T1^7*T2 - 720*T2^2 + 1872*T1*T2^2 - 
      2016*T1^2*T2^2 + 580*T1^3*T2^2 + 2312*T1^4*T2^2 - 2156*T1^5*T2^2 + 
      1008*T1^6*T2^2 + 144*T1^7*T2^2 - 288*T1^8*T2^2 + 932*T2^3 - 
      1712*T1*T2^3 + 580*T1^2*T2^3 + 1771*T1^3*T2^3 - 4460*T1^4*T2^3 + 
      1336*T1^5*T2^3 + 889*T1^6*T2^3 - 1796*T1^7*T2^3 + 772*T1^8*T2^3 + 
      95*T1^9*T2^3 - 720*T2^4 + 268*T1*T2^4 + 2312*T1^2*T2^4 - 
      4460*T1^3*T2^4 + 4962*T1^4*T2^4 + 1452*T1^5*T2^4 - 3126*T1^6*T2^4 + 
      2236*T1^7*T2^4 + 296*T1^8*T2^4 - 956*T1^9*T2^4 + 144*T1^10*T2^4 + 
      360*T2^5 + 576*T1*T2^5 - 2156*T1^2*T2^5 + 1336*T1^3*T2^5 + 
      1452*T1^4*T2^5 - 7656*T1^5*T2^5 + 4860*T1^6*T2^5 - 276*T1^7*T2^5 - 
      2660*T1^8*T2^5 + 1660*T1^9*T2^5 + 144*T1^10*T2^5 - 180*T1^11*T2^5 - 
      90*T2^6 - 648*T1*T2^6 + 1008*T1^2*T2^6 + 889*T1^3*T2^6 - 
      3126*T1^4*T2^6 + 4860*T1^5*T2^6 + 1320*T1^6*T2^6 - 5580*T1^7*T2^6 + 
      4506*T1^8*T2^6 - 785*T1^9*T2^6 - 1152*T1^10*T2^6 + 432*T1^11*T2^6 + 
      72*T1^12*T2^6 + 252*T1*T2^7 + 144*T1^2*T2^7 - 1796*T1^3*T2^7 + 
      2236*T1^4*T2^7 - 276*T1^5*T2^7 - 5580*T1^6*T2^7 + 6936*T1^7*T2^7 - 
      2004*T1^8*T2^7 - 1760*T1^9*T2^7 + 2020*T1^10*T2^7 - 288*T1^11*T2^7 - 
      288*T1^12*T2^7 - 288*T1^2*T2^8 + 772*T1^3*T2^8 + 296*T1^4*T2^8 - 
      2660*T1^5*T2^8 + 4506*T1^6*T2^8 - 2004*T1^7*T2^8 - 3582*T1^8*T2^8 + 
      4036*T1^9*T2^8 - 1720*T1^10*T2^8 - 452*T1^11*T2^8 + 576*T1^12*T2^8 + 
      95*T1^3*T2^9 - 956*T1^4*T2^9 + 1660*T1^5*T2^9 - 785*T1^6*T2^9 - 
      1760*T1^7*T2^9 + 4036*T1^8*T2^9 - 1667*T1^9*T2^9 - 716*T1^10*T2^9 + 
      1528*T1^11*T2^9 - 742*T1^12*T2^9 + 144*T1^4*T2^10 + 144*T1^5*T2^10 - 
      1152*T1^6*T2^10 + 2020*T1^7*T2^10 - 1720*T1^8*T2^10 - 716*T1^9*T2^10 + 
      1872*T1^10*T2^10 - 1584*T1^11*T2^10 + 576*T1^12*T2^10 - 
      180*T1^5*T2^11 + 432*T1^6*T2^11 - 288*T1^7*T2^11 - 452*T1^8*T2^11 + 
      1528*T1^9*T2^11 - 1584*T1^10*T2^11 + 972*T1^11*T2^11 - 
      288*T1^12*T2^11 + 72*T1^6*T2^12 - 288*T1^7*T2^12 + 576*T1^8*T2^12 - 
      742*T1^9*T2^12 + 576*T1^10*T2^12 - 288*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1064] -> 
  {-((2 - 9*T + 21*T^2 - 33*T^3 + 37*T^4 - 33*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 184*T1 - 429*T1^2 + 674*T1^3 - 755*T1^4 + 674*T1^5 - 
      429*T1^6 + 184*T1^7 - 41*T1^8 + 184*T2 - 678*T1*T2 + 1262*T1^2*T2 - 
      1478*T1^3*T2 + 958*T1^4*T2 - 302*T1^5*T2 - 506*T1^6*T2 + 722*T1^7*T2 - 
      480*T1^8*T2 + 148*T1^9*T2 - 429*T2^2 + 1262*T1*T2^2 - 1770*T1^2*T2^2 + 
      1264*T1^3*T2^2 + 327*T1^4*T2^2 - 952*T1^5*T2^2 + 1671*T1^6*T2^2 - 
      752*T1^7*T2^2 - 174*T1^8*T2^2 + 506*T1^9*T2^2 - 261*T1^10*T2^2 + 
      674*T2^3 - 1478*T1*T2^3 + 1264*T1^2*T2^3 + 213*T1^3*T2^3 - 
      2184*T1^4*T2^3 + 1204*T1^5*T2^3 - 1334*T1^6*T2^3 - 1086*T1^7*T2^3 + 
      1473*T1^8*T2^3 - 815*T1^9*T2^3 - 74*T1^10*T2^3 + 278*T1^11*T2^3 - 
      755*T2^4 + 958*T1*T2^4 + 327*T1^2*T2^4 - 2184*T1^3*T2^4 + 
      3106*T1^4*T2^4 + 294*T1^5*T2^4 + 164*T1^6*T2^4 + 2694*T1^7*T2^4 - 
      790*T1^8*T2^4 - 666*T1^9*T2^4 + 1197*T1^10*T2^4 - 518*T1^11*T2^4 - 
      163*T1^12*T2^4 + 674*T2^5 - 302*T1*T2^5 - 952*T1^2*T2^5 + 
      1204*T1^3*T2^5 + 294*T1^4*T2^5 - 4750*T1^5*T2^5 + 1558*T1^6*T2^5 - 
      2906*T1^7*T2^5 - 1732*T1^8*T2^5 + 2259*T1^9*T2^5 - 1262*T1^10*T2^5 - 
      277*T1^11*T2^5 + 670*T1^12*T2^5 + 14*T1^13*T2^5 - 429*T2^6 - 
      506*T1*T2^6 + 1671*T1^2*T2^6 - 1334*T1^3*T2^6 + 164*T1^4*T2^6 + 
      1558*T1^5*T2^6 + 4670*T1^6*T2^6 - 2832*T1^7*T2^6 + 5810*T1^8*T2^6 - 
      2474*T1^9*T2^6 - 190*T1^10*T2^6 + 1312*T1^11*T2^6 - 621*T1^12*T2^6 - 
      398*T1^13*T2^6 + 75*T1^14*T2^6 + 184*T2^7 + 722*T1*T2^7 - 
      752*T1^2*T2^7 - 1086*T1^3*T2^7 + 2694*T1^4*T2^7 - 2906*T1^5*T2^7 - 
      2832*T1^6*T2^7 - 721*T1^7*T2^7 - 889*T1^8*T2^7 - 2103*T1^9*T2^7 + 
      2422*T1^10*T2^7 - 1011*T1^11*T2^7 - 504*T1^12*T2^7 + 949*T1^13*T2^7 - 
      34*T1^14*T2^7 - 68*T1^15*T2^7 - 41*T2^8 - 480*T1*T2^8 - 174*T1^2*T2^8 + 
      1473*T1^3*T2^8 - 790*T1^4*T2^8 - 1732*T1^5*T2^8 + 5810*T1^6*T2^8 - 
      889*T1^7*T2^8 + 1248*T1^8*T2^8 + 569*T1^9*T2^8 - 88*T1^10*T2^8 - 
      1636*T1^11*T2^8 + 1798*T1^12*T2^8 - 897*T1^13*T2^8 - 348*T1^14*T2^8 + 
      204*T1^15*T2^8 + 23*T1^16*T2^8 + 148*T1*T2^9 + 506*T1^2*T2^9 - 
      815*T1^3*T2^9 - 666*T1^4*T2^9 + 2259*T1^5*T2^9 - 2474*T1^6*T2^9 - 
      2103*T1^7*T2^9 + 569*T1^8*T2^9 + 401*T1^9*T2^9 - 1374*T1^10*T2^9 + 
      2854*T1^11*T2^9 - 1446*T1^12*T2^9 - 84*T1^13*T2^9 + 886*T1^14*T2^9 - 
      250*T1^15*T2^9 - 104*T1^16*T2^9 - 261*T1^2*T2^10 - 74*T1^3*T2^10 + 
      1197*T1^4*T2^10 - 1262*T1^5*T2^10 - 190*T1^6*T2^10 + 2422*T1^7*T2^10 - 
      88*T1^8*T2^10 - 1374*T1^9*T2^10 + 1052*T1^10*T2^10 - 1610*T1^11*T2^10 - 
      544*T1^12*T2^10 + 1384*T1^13*T2^10 - 1095*T1^14*T2^10 + 
      34*T1^15*T2^10 + 243*T1^16*T2^10 + 278*T1^3*T2^11 - 518*T1^4*T2^11 - 
      277*T1^5*T2^11 + 1312*T1^6*T2^11 - 1011*T1^7*T2^11 - 1636*T1^8*T2^11 + 
      2854*T1^9*T2^11 - 1610*T1^10*T2^11 + 1382*T1^11*T2^11 + 
      954*T1^12*T2^11 - 1154*T1^13*T2^11 + 398*T1^14*T2^11 + 
      454*T1^15*T2^11 - 382*T1^16*T2^11 - 163*T1^4*T2^12 + 670*T1^5*T2^12 - 
      621*T1^6*T2^12 - 504*T1^7*T2^12 + 1798*T1^8*T2^12 - 1446*T1^9*T2^12 - 
      544*T1^10*T2^12 + 954*T1^11*T2^12 - 2098*T1^12*T2^12 + 
      1014*T1^13*T2^12 + 249*T1^14*T2^12 - 806*T1^15*T2^12 + 
      429*T1^16*T2^12 + 14*T1^5*T2^13 - 398*T1^6*T2^13 + 949*T1^7*T2^13 - 
      897*T1^8*T2^13 - 84*T1^9*T2^13 + 1384*T1^10*T2^13 - 1154*T1^11*T2^13 + 
      1014*T1^12*T2^13 + 363*T1^13*T2^13 - 1130*T1^14*T2^13 + 
      1006*T1^15*T2^13 - 382*T1^16*T2^13 + 75*T1^6*T2^14 - 34*T1^7*T2^14 - 
      348*T1^8*T2^14 + 886*T1^9*T2^14 - 1095*T1^10*T2^14 + 398*T1^11*T2^14 + 
      249*T1^12*T2^14 - 1130*T1^13*T2^14 + 1248*T1^14*T2^14 - 
      790*T1^15*T2^14 + 243*T1^16*T2^14 - 68*T1^7*T2^15 + 204*T1^8*T2^15 - 
      250*T1^9*T2^15 + 34*T1^10*T2^15 + 454*T1^11*T2^15 - 806*T1^12*T2^15 + 
      1006*T1^13*T2^15 - 790*T1^14*T2^15 + 402*T1^15*T2^15 - 
      104*T1^16*T2^15 + 23*T1^8*T2^16 - 104*T1^9*T2^16 + 243*T1^10*T2^16 - 
      382*T1^11*T2^16 + 429*T1^12*T2^16 - 382*T1^13*T2^16 + 243*T1^14*T2^16 - 
      104*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1065] -> 
  {(1 - 8*T + 31*T^2 - 67*T^3 + 87*T^4 - 67*T^5 + 31*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 124*T1^2 + 268*T1^3 - 348*T1^4 + 268*T1^5 - 124*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 800*T1^2*T2 - 1400*T1^3*T2 + 
     1176*T1^4*T2 - 56*T1^5*T2 - 616*T1^6*T2 + 488*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 124*T2^2 + 800*T1*T2^2 - 2371*T1^2*T2^2 + 2846*T1^3*T2^2 + 
     177*T1^4*T2^2 - 4281*T1^5*T2^2 + 3649*T1^6*T2^2 - 812*T1^7*T2^2 - 
     511*T1^8*T2^2 + 304*T1^9*T2^2 - 62*T1^10*T2^2 + 268*T2^3 - 
     1400*T1*T2^3 + 2846*T1^2*T2^3 + 1303*T1^3*T2^3 - 11897*T1^4*T2^3 + 
     15772*T1^5*T2^3 - 2722*T1^6*T2^3 - 6688*T1^7*T2^3 + 5299*T1^8*T2^3 - 
     1153*T1^9*T2^3 - 40*T1^10*T2^3 + 67*T1^11*T2^3 - 348*T2^4 + 
     1176*T1*T2^4 + 177*T1^2*T2^4 - 11897*T1^3*T2^4 + 22092*T1^4*T2^4 - 
     3195*T1^5*T2^4 - 36736*T1^6*T2^4 + 36305*T1^7*T2^4 - 11228*T1^8*T2^4 - 
     3053*T1^9*T2^4 + 2389*T1^10*T2^4 - 536*T1^11*T2^4 + 268*T2^5 - 
     56*T1*T2^5 - 4281*T1^2*T2^5 + 15772*T1^3*T2^5 - 3195*T1^4*T2^5 - 
     53708*T1^5*T2^5 + 94003*T1^6*T2^5 - 34296*T1^7*T2^5 - 25742*T1^8*T2^5 + 
     28641*T1^9*T2^5 - 7818*T1^10*T2^5 - 39*T1^11*T2^5 + 536*T1^12*T2^5 - 
     67*T1^13*T2^5 - 124*T2^6 - 616*T1*T2^6 + 3649*T1^2*T2^6 - 
     2722*T1^3*T2^6 - 36736*T1^4*T2^6 + 94003*T1^5*T2^6 - 65842*T1^6*T2^6 - 
     72578*T1^7*T2^6 + 115306*T1^8*T2^6 - 52321*T1^9*T2^6 - 2382*T1^10*T2^6 + 
     8128*T1^11*T2^6 - 2343*T1^12*T2^6 + 40*T1^13*T2^6 + 62*T1^14*T2^6 + 
     32*T2^7 + 488*T1*T2^7 - 812*T1^2*T2^7 - 6688*T1^3*T2^7 + 
     36305*T1^4*T2^7 - 34296*T1^5*T2^7 - 72578*T1^6*T2^7 + 200858*T1^7*T2^7 - 
     134026*T1^8*T2^7 - 10697*T1^9*T2^7 + 57953*T1^10*T2^7 - 
     26187*T1^11*T2^7 + 2643*T1^12*T2^7 + 1141*T1^13*T2^7 - 304*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 511*T1^2*T2^8 + 5299*T1^3*T2^8 - 
     11228*T1^4*T2^8 - 25742*T1^5*T2^8 + 115306*T1^6*T2^8 - 
     134026*T1^7*T2^8 - 25248*T1^8*T2^8 + 153402*T1^9*T2^8 - 
     109292*T1^10*T2^8 + 18922*T1^11*T2^8 + 11080*T1^12*T2^8 - 
     5107*T1^13*T2^8 + 509*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 304*T1^2*T2^9 - 1153*T1^3*T2^9 - 3053*T1^4*T2^9 + 
     28641*T1^5*T2^9 - 52321*T1^6*T2^9 - 10697*T1^7*T2^9 + 153402*T1^8*T2^9 - 
     181482*T1^9*T2^9 + 51184*T1^10*T2^9 + 39928*T1^11*T2^9 - 
     33851*T1^12*T2^9 + 6278*T1^13*T2^9 + 800*T1^14*T2^9 - 488*T1^15*T2^9 - 
     32*T1^16*T2^9 - 62*T1^2*T2^10 - 40*T1^3*T2^10 + 2389*T1^4*T2^10 - 
     7818*T1^5*T2^10 - 2382*T1^6*T2^10 + 57953*T1^7*T2^10 - 
     109292*T1^8*T2^10 + 51184*T1^9*T2^10 + 71856*T1^10*T2^10 - 
     88371*T1^11*T2^10 + 31972*T1^12*T2^10 + 3032*T1^13*T2^10 - 
     3603*T1^14*T2^10 + 616*T1^15*T2^10 + 124*T1^16*T2^10 + 67*T1^3*T2^11 - 
     536*T1^4*T2^11 - 39*T1^5*T2^11 + 8128*T1^6*T2^11 - 26187*T1^7*T2^11 + 
     18922*T1^8*T2^11 + 39928*T1^9*T2^11 - 88371*T1^10*T2^11 + 
     46888*T1^11*T2^11 + 5649*T1^12*T2^11 - 15462*T1^13*T2^11 + 
     4203*T1^14*T2^11 + 56*T1^15*T2^11 - 268*T1^16*T2^11 + 536*T1^5*T2^12 - 
     2343*T1^6*T2^12 + 2643*T1^7*T2^12 + 11080*T1^8*T2^12 - 
     33851*T1^9*T2^12 + 31972*T1^10*T2^12 + 5649*T1^11*T2^12 - 
     22240*T1^12*T2^12 + 11487*T1^13*T2^12 - 131*T1^14*T2^12 - 
     1176*T1^15*T2^12 + 348*T1^16*T2^12 - 67*T1^5*T2^13 + 40*T1^6*T2^13 + 
     1141*T1^7*T2^13 - 5107*T1^8*T2^13 + 6278*T1^9*T2^13 + 3032*T1^10*T2^13 - 
     15462*T1^11*T2^13 + 11487*T1^12*T2^13 - 1111*T1^13*T2^13 - 
     2858*T1^14*T2^13 + 1400*T1^15*T2^13 - 268*T1^16*T2^13 + 62*T1^6*T2^14 - 
     304*T1^7*T2^14 + 509*T1^8*T2^14 + 800*T1^9*T2^14 - 3603*T1^10*T2^14 + 
     4203*T1^11*T2^14 - 131*T1^12*T2^14 - 2858*T1^13*T2^14 + 
     2369*T1^14*T2^14 - 800*T1^15*T2^14 + 124*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 488*T1^9*T2^15 + 616*T1^10*T2^15 + 56*T1^11*T2^15 - 
     1176*T1^12*T2^15 + 1400*T1^13*T2^15 - 800*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     124*T1^10*T2^16 - 268*T1^11*T2^16 + 348*T1^12*T2^16 - 268*T1^13*T2^16 + 
     124*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1066] -> 
  {-((2 - 8*T + 19*T^2 - 33*T^3 + 39*T^4 - 33*T^5 + 19*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-41 + 164*T1 - 389*T1^2 + 675*T1^3 - 797*T1^4 + 675*T1^5 - 
      389*T1^6 + 164*T1^7 - 41*T1^8 + 164*T2 - 524*T1*T2 + 1028*T1^2*T2 - 
      1448*T1^3*T2 + 1016*T1^4*T2 - 136*T1^5*T2 - 616*T1^6*T2 + 596*T1^7*T2 - 
      364*T1^8*T2 + 132*T1^9*T2 - 389*T2^2 + 1028*T1*T2^2 - 1810*T1^2*T2^2 + 
      2319*T1^3*T2^2 - 1047*T1^4*T2^2 - 66*T1^5*T2^2 + 473*T1^6*T2^2 + 
      419*T1^7*T2^2 - 518*T1^8*T2^2 + 420*T1^9*T2^2 - 237*T1^10*T2^2 + 
      675*T2^3 - 1448*T1*T2^3 + 2319*T1^2*T2^3 - 2668*T1^3*T2^3 + 
      202*T1^4*T2^3 + 407*T1^5*T2^3 - 241*T1^6*T2^3 - 1200*T1^7*T2^3 + 
      158*T1^8*T2^3 + 77*T1^9*T2^3 - 168*T1^10*T2^3 + 279*T1^11*T2^3 - 
      797*T2^4 + 1016*T1*T2^4 - 1047*T1^2*T2^4 + 202*T1^3*T2^4 + 
      3556*T1^4*T2^4 - 2092*T1^5*T2^4 + 914*T1^6*T2^4 + 668*T1^7*T2^4 + 
      1900*T1^8*T2^4 - 1118*T1^9*T2^4 + 657*T1^10*T2^4 - 424*T1^11*T2^4 - 
      173*T1^12*T2^4 + 675*T2^5 - 136*T1*T2^5 - 66*T1^2*T2^5 + 
      407*T1^3*T2^5 - 2092*T1^4*T2^5 - 3421*T1^5*T2^5 + 3482*T1^6*T2^5 - 
      1900*T1^7*T2^5 - 3259*T1^8*T2^5 + 869*T1^9*T2^5 - 217*T1^10*T2^5 - 
      102*T1^11*T2^5 + 632*T1^12*T2^5 + 15*T1^13*T2^5 - 389*T2^6 - 
      616*T1*T2^6 + 473*T1^2*T2^6 - 241*T1^3*T2^6 + 914*T1^4*T2^6 + 
      3482*T1^5*T2^6 + 2553*T1^6*T2^6 - 7209*T1^7*T2^6 + 9669*T1^8*T2^6 - 
      2020*T1^9*T2^6 + 152*T1^10*T2^6 + 443*T1^11*T2^6 - 679*T1^12*T2^6 - 
      328*T1^13*T2^6 + 67*T1^14*T2^6 + 164*T2^7 + 596*T1*T2^7 + 
      419*T1^2*T2^7 - 1200*T1^3*T2^7 + 668*T1^4*T2^7 - 1900*T1^5*T2^7 - 
      7209*T1^6*T2^7 + 9092*T1^7*T2^7 - 5160*T1^8*T2^7 - 4220*T1^9*T2^7 + 
      3242*T1^10*T2^7 - 1489*T1^11*T2^7 + 530*T1^12*T2^7 + 609*T1^13*T2^7 - 
      28*T1^14*T2^7 - 60*T1^15*T2^7 - 41*T2^8 - 364*T1*T2^8 - 518*T1^2*T2^8 + 
      158*T1^3*T2^8 + 1900*T1^4*T2^8 - 3259*T1^5*T2^8 + 9669*T1^6*T2^8 - 
      5160*T1^7*T2^8 - 3192*T1^8*T2^8 + 8572*T1^9*T2^8 - 3417*T1^10*T2^8 + 
      35*T1^11*T2^8 + 488*T1^12*T2^8 - 798*T1^13*T2^8 - 94*T1^14*T2^8 + 
      148*T1^15*T2^8 + 23*T1^16*T2^8 + 132*T1*T2^9 + 420*T1^2*T2^9 + 
      77*T1^3*T2^9 - 1118*T1^4*T2^9 + 869*T1^5*T2^9 - 2020*T1^6*T2^9 - 
      4220*T1^7*T2^9 + 8572*T1^8*T2^9 - 5680*T1^9*T2^9 - 1231*T1^10*T2^9 + 
      3122*T1^11*T2^9 - 1288*T1^12*T2^9 + 612*T1^13*T2^9 + 267*T1^14*T2^9 - 
      204*T1^15*T2^9 - 92*T1^16*T2^9 - 237*T1^2*T2^10 - 168*T1^3*T2^10 + 
      657*T1^4*T2^10 - 217*T1^5*T2^10 + 152*T1^6*T2^10 + 3242*T1^7*T2^10 - 
      3417*T1^8*T2^10 - 1231*T1^9*T2^10 + 3699*T1^10*T2^10 - 
      2260*T1^11*T2^10 - 610*T1^12*T2^10 + 467*T1^13*T2^10 - 
      495*T1^14*T2^10 + 120*T1^15*T2^10 + 219*T1^16*T2^10 + 279*T1^3*T2^11 - 
      424*T1^4*T2^11 - 102*T1^5*T2^11 + 443*T1^6*T2^11 - 1489*T1^7*T2^11 + 
      35*T1^8*T2^11 + 3122*T1^9*T2^11 - 2260*T1^10*T2^11 + 197*T1^11*T2^11 + 
      1472*T1^12*T2^11 - 181*T1^13*T2^11 - 138*T1^14*T2^11 + 
      344*T1^15*T2^11 - 381*T1^16*T2^11 - 173*T1^4*T2^12 + 632*T1^5*T2^12 - 
      679*T1^6*T2^12 + 530*T1^7*T2^12 + 488*T1^8*T2^12 - 1288*T1^9*T2^12 - 
      610*T1^10*T2^12 + 1472*T1^11*T2^12 - 1168*T1^12*T2^12 - 
      790*T1^13*T2^12 + 1025*T1^14*T2^12 - 808*T1^15*T2^12 + 
      451*T1^16*T2^12 + 15*T1^5*T2^13 - 328*T1^6*T2^13 + 609*T1^7*T2^13 - 
      798*T1^8*T2^13 + 612*T1^9*T2^13 + 467*T1^10*T2^13 - 181*T1^11*T2^13 - 
      790*T1^12*T2^13 + 2028*T1^13*T2^13 - 1633*T1^14*T2^13 + 
      952*T1^15*T2^13 - 381*T1^16*T2^13 + 67*T1^6*T2^14 - 28*T1^7*T2^14 - 
      94*T1^8*T2^14 + 267*T1^9*T2^14 - 495*T1^10*T2^14 - 138*T1^11*T2^14 + 
      1025*T1^12*T2^14 - 1633*T1^13*T2^14 + 1198*T1^14*T2^14 - 
      636*T1^15*T2^14 + 219*T1^16*T2^14 - 60*T1^7*T2^15 + 148*T1^8*T2^15 - 
      204*T1^9*T2^15 + 120*T1^10*T2^15 + 344*T1^11*T2^15 - 808*T1^12*T2^15 + 
      952*T1^13*T2^15 - 636*T1^14*T2^15 + 308*T1^15*T2^15 - 92*T1^16*T2^15 + 
      23*T1^8*T2^16 - 92*T1^9*T2^16 + 219*T1^10*T2^16 - 381*T1^11*T2^16 + 
      451*T1^12*T2^16 - 381*T1^13*T2^16 + 219*T1^14*T2^16 - 92*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1067] -> 
  {-((1 - 8*T + 30*T^2 - 61*T^3 + 75*T^4 - 61*T^5 + 30*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 150*T1^2 + 305*T1^3 - 375*T1^4 + 305*T1^5 - 
      150*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 944*T1^2*T2 - 
      1480*T1^3*T2 + 1048*T1^4*T2 - 40*T1^5*T2 - 752*T1^6*T2 + 640*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 150*T2^2 + 944*T1*T2^2 - 2540*T1^2*T2^2 + 
      2164*T1^3*T2^2 + 1747*T1^4*T2^2 - 4670*T1^5*T2^2 + 4447*T1^6*T2^2 - 
      1016*T1^7*T2^2 - 800*T1^8*T2^2 + 464*T1^9*T2^2 - 90*T1^10*T2^2 + 
      305*T2^3 - 1480*T1*T2^3 + 2164*T1^2*T2^3 + 4735*T1^3*T2^3 - 
      15405*T1^4*T2^3 + 13311*T1^5*T2^3 - 2676*T1^6*T2^3 - 8754*T1^7*T2^3 + 
      6961*T1^8*T2^3 - 1166*T1^9*T2^3 - 256*T1^10*T2^3 + 122*T1^11*T2^3 - 
      375*T2^4 + 1048*T1*T2^4 + 1747*T1^2*T2^4 - 15405*T1^3*T2^4 + 
      17756*T1^4*T2^4 + 13662*T1^5*T2^4 - 39256*T1^6*T2^4 + 41682*T1^7*T2^4 - 
      11772*T1^8*T2^4 - 5401*T1^9*T2^4 + 2939*T1^10*T2^4 - 376*T1^11*T2^4 - 
      75*T1^12*T2^4 + 305*T2^5 - 40*T1*T2^5 - 4670*T1^2*T2^5 + 
      13311*T1^3*T2^5 + 13662*T1^4*T2^5 - 71533*T1^5*T2^5 + 71005*T1^6*T2^5 - 
      25665*T1^7*T2^5 - 35493*T1^8*T2^5 + 32847*T1^9*T2^5 - 5614*T1^10*T2^5 - 
      1250*T1^11*T2^5 + 600*T1^12*T2^5 - 150*T2^6 - 752*T1*T2^6 + 
      4447*T1^2*T2^6 - 2676*T1^3*T2^6 - 39256*T1^4*T2^6 + 71005*T1^5*T2^6 - 
      1406*T1^6*T2^6 - 74884*T1^7*T2^6 + 102858*T1^8*T2^6 - 34027*T1^9*T2^6 - 
      14328*T1^10*T2^6 + 8904*T1^11*T2^6 - 1269*T1^12*T2^6 - 240*T1^13*T2^6 + 
      30*T1^14*T2^6 + 40*T2^7 + 640*T1*T2^7 - 1016*T1^2*T2^7 - 
      8754*T1^3*T2^7 + 41682*T1^4*T2^7 - 25665*T1^5*T2^7 - 74884*T1^6*T2^7 + 
      108675*T1^7*T2^7 - 59031*T1^8*T2^7 - 41509*T1^9*T2^7 + 
      54281*T1^10*T2^7 - 12843*T1^11*T2^7 - 1993*T1^12*T2^7 + 
      1414*T1^13*T2^7 - 112*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 800*T1^2*T2^8 + 6961*T1^3*T2^8 - 11772*T1^4*T2^8 - 
      35493*T1^5*T2^8 + 102858*T1^6*T2^8 - 59031*T1^7*T2^8 - 
      36096*T1^8*T2^8 + 96131*T1^9*T2^8 - 48352*T1^10*T2^8 - 
      10963*T1^11*T2^8 + 13868*T1^12*T2^8 - 3365*T1^13*T2^8 - 32*T1^14*T2^8 + 
      104*T1^15*T2^8 + 3*T1^16*T2^8 + 32*T1*T2^9 + 464*T1^2*T2^9 - 
      1166*T1^3*T2^9 - 5401*T1^4*T2^9 + 32847*T1^5*T2^9 - 34027*T1^6*T2^9 - 
      41509*T1^7*T2^9 + 96131*T1^8*T2^9 - 71575*T1^9*T2^9 - 8134*T1^10*T2^9 + 
      45919*T1^11*T2^9 - 21678*T1^12*T2^9 + 1360*T1^13*T2^9 + 
      1264*T1^14*T2^9 - 288*T1^15*T2^9 - 24*T1^16*T2^9 - 90*T1^2*T2^10 - 
      256*T1^3*T2^10 + 2939*T1^4*T2^10 - 5614*T1^5*T2^10 - 14328*T1^6*T2^10 + 
      54281*T1^7*T2^10 - 48352*T1^8*T2^10 - 8134*T1^9*T2^10 + 
      55912*T1^10*T2^10 - 50751*T1^11*T2^10 + 10600*T1^12*T2^10 + 
      5966*T1^13*T2^10 - 2777*T1^14*T2^10 + 256*T1^15*T2^10 + 
      90*T1^16*T2^10 + 122*T1^3*T2^11 - 376*T1^4*T2^11 - 1250*T1^5*T2^11 + 
      8904*T1^6*T2^11 - 12843*T1^7*T2^11 - 10963*T1^8*T2^11 + 
      45919*T1^9*T2^11 - 50751*T1^10*T2^11 + 25077*T1^11*T2^11 + 
      6342*T1^12*T2^11 - 10021*T1^13*T2^11 + 2170*T1^14*T2^11 + 
      264*T1^15*T2^11 - 183*T1^16*T2^11 - 75*T1^4*T2^12 + 600*T1^5*T2^12 - 
      1269*T1^6*T2^12 - 1993*T1^7*T2^12 + 13868*T1^8*T2^12 - 
      21678*T1^9*T2^12 + 10600*T1^10*T2^12 + 6342*T1^11*T2^12 - 
      15660*T1^12*T2^12 + 8011*T1^13*T2^12 - 77*T1^14*T2^12 - 
      824*T1^15*T2^12 + 225*T1^16*T2^12 - 240*T1^6*T2^13 + 1414*T1^7*T2^13 - 
      3365*T1^8*T2^13 + 1360*T1^9*T2^13 + 5966*T1^10*T2^13 - 
      10021*T1^11*T2^13 + 8011*T1^12*T2^13 - 1139*T1^13*T2^13 - 
      1916*T1^14*T2^13 + 984*T1^15*T2^13 - 183*T1^16*T2^13 + 30*T1^6*T2^14 - 
      112*T1^7*T2^14 - 32*T1^8*T2^14 + 1264*T1^9*T2^14 - 2777*T1^10*T2^14 + 
      2170*T1^11*T2^14 - 77*T1^12*T2^14 - 1916*T1^13*T2^14 + 
      1708*T1^14*T2^14 - 592*T1^15*T2^14 + 90*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 288*T1^9*T2^15 + 256*T1^10*T2^15 + 264*T1^11*T2^15 - 
      824*T1^12*T2^15 + 984*T1^13*T2^15 - 592*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 90*T1^10*T2^16 - 
      183*T1^11*T2^16 + 225*T1^12*T2^16 - 183*T1^13*T2^16 + 90*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1068] -> 
  {-((4 - 16*T + 32*T^2 - 41*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3), 
   (-2*(-104 + 416*T1 - 834*T1^2 + 1072*T1^3 - 834*T1^4 + 416*T1^5 - 
      104*T1^6 + 416*T2 - 1376*T1*T2 + 2184*T1^2*T2 - 1976*T1^3*T2 + 
      360*T1^4*T2 + 648*T1^5*T2 - 736*T1^6*T2 + 288*T1^7*T2 - 834*T2^2 + 
      2184*T1*T2^2 - 2424*T1^2*T2^2 + 734*T1^3*T2^2 + 2478*T1^4*T2^2 - 
      2466*T1^5*T2^2 + 1160*T1^6*T2^2 + 136*T1^7*T2^2 - 322*T1^8*T2^2 + 
      1072*T2^3 - 1976*T1*T2^3 + 734*T1^2*T2^3 + 2145*T1^3*T2^3 - 
      5097*T1^4*T2^3 + 1783*T1^5*T2^3 + 927*T1^6*T2^3 - 2018*T1^7*T2^3 + 
      936*T1^8*T2^3 + 88*T1^9*T2^3 - 834*T2^4 + 360*T1*T2^4 + 
      2478*T1^2*T2^4 - 5097*T1^3*T2^4 + 5347*T1^4*T2^4 + 1738*T1^5*T2^4 - 
      3885*T1^6*T2^4 + 2775*T1^7*T2^4 + 174*T1^8*T2^4 - 1112*T1^9*T2^4 + 
      190*T1^10*T2^4 + 416*T2^5 + 648*T1*T2^5 - 2466*T1^2*T2^5 + 
      1783*T1^3*T2^5 + 1738*T1^4*T2^5 - 8585*T1^5*T2^5 + 5639*T1^6*T2^5 - 
      310*T1^7*T2^5 - 3113*T1^8*T2^5 + 2078*T1^9*T2^5 + 136*T1^10*T2^5 - 
      224*T1^11*T2^5 - 104*T2^6 - 736*T1*T2^6 + 1160*T1^2*T2^6 + 
      927*T1^3*T2^6 - 3885*T1^4*T2^6 + 5639*T1^5*T2^6 + 1398*T1^6*T2^6 - 
      6393*T1^7*T2^6 + 5331*T1^8*T2^6 - 1041*T1^9*T2^6 - 1400*T1^10*T2^6 + 
      544*T1^11*T2^6 + 88*T1^12*T2^6 + 288*T1*T2^7 + 136*T1^2*T2^7 - 
      2018*T1^3*T2^7 + 2775*T1^4*T2^7 - 310*T1^5*T2^7 - 6393*T1^6*T2^7 + 
      7831*T1^7*T2^7 - 2358*T1^8*T2^7 - 2121*T1^9*T2^7 + 2526*T1^10*T2^7 - 
      376*T1^11*T2^7 - 352*T1^12*T2^7 - 322*T1^2*T2^8 + 936*T1^3*T2^8 + 
      174*T1^4*T2^8 - 3113*T1^5*T2^8 + 5331*T1^6*T2^8 - 2358*T1^7*T2^8 - 
      3901*T1^8*T2^8 + 4759*T1^9*T2^8 - 2130*T1^10*T2^8 - 536*T1^11*T2^8 + 
      702*T1^12*T2^8 + 88*T1^3*T2^9 - 1112*T1^4*T2^9 + 2078*T1^5*T2^9 - 
      1041*T1^6*T2^9 - 2121*T1^7*T2^9 + 4759*T1^8*T2^9 - 2259*T1^9*T2^9 - 
      674*T1^10*T2^9 + 1800*T1^11*T2^9 - 896*T1^12*T2^9 + 190*T1^4*T2^10 + 
      136*T1^5*T2^10 - 1400*T1^6*T2^10 + 2526*T1^7*T2^10 - 2130*T1^8*T2^10 - 
      674*T1^9*T2^10 + 2184*T1^10*T2^10 - 1912*T1^11*T2^10 + 
      702*T1^12*T2^10 - 224*T1^5*T2^11 + 544*T1^6*T2^11 - 376*T1^7*T2^11 - 
      536*T1^8*T2^11 + 1800*T1^9*T2^11 - 1912*T1^10*T2^11 + 
      1184*T1^11*T2^11 - 352*T1^12*T2^11 + 88*T1^6*T2^12 - 352*T1^7*T2^12 + 
      702*T1^8*T2^12 - 896*T1^9*T2^12 + 702*T1^10*T2^12 - 352*T1^11*T2^12 + 
      88*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1069] -> 
  {(2 - 19*T + 57*T^2 - 79*T^3 + 57*T^4 - 19*T^5 + 2*T^6)/T^3, 
   (-33 + 312*T1 - 932*T1^2 + 1289*T1^3 - 932*T1^4 + 312*T1^5 - 33*T1^6 + 
     312*T2 - 2714*T1*T2 + 6582*T1^2*T2 - 5540*T1^3*T2 - 372*T1^4*T2 + 
     3694*T1^5*T2 - 1916*T1^6*T2 + 236*T1^7*T2 - 932*T2^2 + 6582*T1*T2^2 - 
     5862*T1^2*T2^2 - 21373*T1^3*T2^2 + 46332*T1^4*T2^2 - 35053*T1^5*T2^2 + 
     6678*T1^6*T2^2 + 2250*T1^7*T2^2 - 476*T1^8*T2^2 + 1289*T2^3 - 
     5540*T1*T2^3 - 21373*T1^2*T2^3 + 93325*T1^3*T2^3 - 98987*T1^4*T2^3 + 
     12277*T1^5*T2^3 + 49411*T1^6*T2^3 - 25648*T1^7*T2^3 + 1300*T1^8*T2^3 + 
     341*T1^9*T2^3 - 932*T2^4 - 372*T1*T2^4 + 46332*T1^2*T2^4 - 
     98987*T1^3*T2^4 - 8545*T1^4*T2^4 + 170723*T1^5*T2^4 - 163585*T1^6*T2^4 + 
     30099*T1^7*T2^4 + 15286*T1^8*T2^4 - 3032*T1^9*T2^4 - 20*T1^10*T2^4 + 
     312*T2^5 + 3694*T1*T2^5 - 35053*T1^2*T2^5 + 12277*T1^3*T2^5 + 
     170723*T1^4*T2^5 - 265004*T1^5*T2^5 + 104470*T1^6*T2^5 + 
     80834*T1^7*T2^5 - 63343*T1^8*T2^5 + 6842*T1^9*T2^5 + 806*T1^10*T2^5 - 
     68*T1^11*T2^5 - 33*T2^6 - 1916*T1*T2^6 + 6678*T1^2*T2^6 + 
     49411*T1^3*T2^6 - 163585*T1^4*T2^6 + 104470*T1^5*T2^6 + 
     117036*T1^6*T2^6 - 206446*T1^7*T2^6 + 81097*T1^8*T2^6 + 6361*T1^9*T2^6 - 
     6394*T1^10*T2^6 + 516*T1^11*T2^6 + 15*T1^12*T2^6 + 236*T1*T2^7 + 
     2250*T1^2*T2^7 - 25648*T1^3*T2^7 + 30099*T1^4*T2^7 + 80834*T1^5*T2^7 - 
     206446*T1^6*T2^7 + 163028*T1^7*T2^7 - 9055*T1^8*T2^7 - 45521*T1^9*T2^7 + 
     16247*T1^10*T2^7 - 638*T1^11*T2^7 - 144*T1^12*T2^7 - 476*T1^2*T2^8 + 
     1300*T1^3*T2^8 + 15286*T1^4*T2^8 - 63343*T1^5*T2^8 + 81097*T1^6*T2^8 - 
     9055*T1^7*T2^8 - 73943*T1^8*T2^8 + 65743*T1^9*T2^8 - 15760*T1^10*T2^8 - 
     1360*T1^11*T2^8 + 436*T1^12*T2^8 + 341*T1^3*T2^9 - 3032*T1^4*T2^9 + 
     6842*T1^5*T2^9 + 6361*T1^6*T2^9 - 45521*T1^7*T2^9 + 65743*T1^8*T2^9 - 
     37553*T1^9*T2^9 + 2567*T1^10*T2^9 + 3808*T1^11*T2^9 - 607*T1^12*T2^9 - 
     20*T1^4*T2^10 + 806*T1^5*T2^10 - 6394*T1^6*T2^10 + 16247*T1^7*T2^10 - 
     15760*T1^8*T2^10 + 2567*T1^9*T2^10 + 6146*T1^10*T2^10 - 
     3526*T1^11*T2^10 + 436*T1^12*T2^10 - 68*T1^5*T2^11 + 516*T1^6*T2^11 - 
     638*T1^7*T2^11 - 1360*T1^8*T2^11 + 3808*T1^9*T2^11 - 3526*T1^10*T2^11 + 
     1314*T1^11*T2^11 - 144*T1^12*T2^11 + 15*T1^6*T2^12 - 144*T1^7*T2^12 + 
     436*T1^8*T2^12 - 607*T1^9*T2^12 + 436*T1^10*T2^12 - 144*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1070] -> 
  {-((1 - 8*T + 29*T^2 - 58*T^3 + 71*T^4 - 58*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 145*T1^2 + 290*T1^3 - 355*T1^4 + 290*T1^5 - 
      145*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 904*T1^2*T2 - 
      1391*T1^3*T2 + 983*T1^4*T2 - 49*T1^5*T2 - 695*T1^6*T2 + 608*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 145*T2^2 + 904*T1*T2^2 - 2249*T1^2*T2^2 + 
      1703*T1^3*T2^2 + 1971*T1^4*T2^2 - 4639*T1^5*T2^2 + 4407*T1^6*T2^2 - 
      1197*T1^7*T2^2 - 625*T1^8*T2^2 + 440*T1^9*T2^2 - 87*T1^10*T2^2 + 
      290*T2^3 - 1391*T1*T2^3 + 1703*T1^2*T2^3 + 4550*T1^3*T2^3 - 
      13802*T1^4*T2^3 + 11986*T1^5*T2^3 - 2804*T1^6*T2^3 - 7364*T1^7*T2^3 + 
      6232*T1^8*T2^3 - 1255*T1^9*T2^3 - 231*T1^10*T2^3 + 116*T1^11*T2^3 - 
      355*T2^4 + 983*T1*T2^4 + 1971*T1^2*T2^4 - 13802*T1^3*T2^4 + 
      16528*T1^4*T2^4 + 8357*T1^5*T2^4 - 29490*T1^6*T2^4 + 33133*T1^7*T2^4 - 
      9992*T1^8*T2^4 - 4290*T1^9*T2^4 + 2783*T1^10*T2^4 - 361*T1^11*T2^4 - 
      71*T1^12*T2^4 + 290*T2^5 - 49*T1*T2^5 - 4639*T1^2*T2^5 + 
      11986*T1^3*T2^5 + 8357*T1^4*T2^5 - 54058*T1^5*T2^5 + 56185*T1^6*T2^5 - 
      23275*T1^7*T2^5 - 25230*T1^8*T2^5 + 26069*T1^9*T2^5 - 5472*T1^10*T2^5 - 
      1099*T1^11*T2^5 + 567*T1^12*T2^5 - 145*T2^6 - 695*T1*T2^6 + 
      4407*T1^2*T2^6 - 2804*T1^3*T2^6 - 29490*T1^4*T2^6 + 56185*T1^5*T2^6 - 
      6441*T1^6*T2^6 - 52539*T1^7*T2^6 + 78587*T1^8*T2^6 - 29887*T1^9*T2^6 - 
      9480*T1^10*T2^6 + 7984*T1^11*T2^6 - 1277*T1^12*T2^6 - 231*T1^13*T2^6 + 
      29*T1^14*T2^6 + 40*T2^7 + 608*T1*T2^7 - 1197*T1^2*T2^7 - 
      7364*T1^3*T2^7 + 33133*T1^4*T2^7 - 23275*T1^5*T2^7 - 52539*T1^6*T2^7 + 
      83888*T1^7*T2^7 - 50748*T1^8*T2^7 - 26091*T1^9*T2^7 + 
      42961*T1^10*T2^7 - 12835*T1^11*T2^7 - 1506*T1^12*T2^7 + 
      1413*T1^13*T2^7 - 104*T1^14*T2^7 - 16*T1^15*T2^7 - 5*T2^8 - 
      216*T1*T2^8 - 625*T1^2*T2^8 + 6232*T1^3*T2^8 - 9992*T1^4*T2^8 - 
      25230*T1^5*T2^8 + 78587*T1^6*T2^8 - 50748*T1^7*T2^8 - 23256*T1^8*T2^8 + 
      74316*T1^9*T2^8 - 44373*T1^10*T2^8 - 5158*T1^11*T2^8 + 
      12036*T1^12*T2^8 - 3280*T1^13*T2^8 - 101*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 440*T1^2*T2^9 - 1255*T1^3*T2^9 - 
      4290*T1^4*T2^9 + 26069*T1^5*T2^9 - 29887*T1^6*T2^9 - 26091*T1^7*T2^9 + 
      74316*T1^8*T2^9 - 60320*T1^9*T2^9 + 357*T1^10*T2^9 + 36349*T1^11*T2^9 - 
      19899*T1^12*T2^9 + 1568*T1^13*T2^9 + 1355*T1^14*T2^9 - 272*T1^15*T2^9 - 
      24*T1^16*T2^9 - 87*T1^2*T2^10 - 231*T1^3*T2^10 + 2783*T1^4*T2^10 - 
      5472*T1^5*T2^10 - 9480*T1^6*T2^10 + 42961*T1^7*T2^10 - 
      44373*T1^8*T2^10 + 357*T1^9*T2^10 + 40655*T1^10*T2^10 - 
      43111*T1^11*T2^10 + 10530*T1^12*T2^10 + 5316*T1^13*T2^10 - 
      2901*T1^14*T2^10 + 233*T1^15*T2^10 + 87*T1^16*T2^10 + 116*T1^3*T2^11 - 
      361*T1^4*T2^11 - 1099*T1^5*T2^11 + 7984*T1^6*T2^11 - 12835*T1^7*T2^11 - 
      5158*T1^8*T2^11 + 36349*T1^9*T2^11 - 43111*T1^10*T2^11 + 
      23670*T1^11*T2^11 + 4877*T1^12*T2^11 - 9474*T1^13*T2^11 + 
      2441*T1^14*T2^11 + 255*T1^15*T2^11 - 174*T1^16*T2^11 - 71*T1^4*T2^12 + 
      567*T1^5*T2^12 - 1277*T1^6*T2^12 - 1506*T1^7*T2^12 + 12036*T1^8*T2^12 - 
      19899*T1^9*T2^12 + 10530*T1^10*T2^12 + 4877*T1^11*T2^12 - 
      14484*T1^12*T2^12 + 8006*T1^13*T2^12 - 465*T1^14*T2^12 - 
      777*T1^15*T2^12 + 213*T1^16*T2^12 - 231*T1^6*T2^13 + 1413*T1^7*T2^13 - 
      3280*T1^8*T2^13 + 1568*T1^9*T2^13 + 5316*T1^10*T2^13 - 
      9474*T1^11*T2^13 + 8006*T1^12*T2^13 - 1598*T1^13*T2^13 - 
      1545*T1^14*T2^13 + 929*T1^15*T2^13 - 174*T1^16*T2^13 + 29*T1^6*T2^14 - 
      104*T1^7*T2^14 - 101*T1^8*T2^14 + 1355*T1^9*T2^14 - 2901*T1^10*T2^14 + 
      2441*T1^11*T2^14 - 465*T1^12*T2^14 - 1545*T1^13*T2^14 + 
      1523*T1^14*T2^14 - 568*T1^15*T2^14 + 87*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 272*T1^9*T2^15 + 233*T1^10*T2^15 + 255*T1^11*T2^15 - 
      777*T1^12*T2^15 + 929*T1^13*T2^15 - 568*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 87*T1^10*T2^16 - 
      174*T1^11*T2^16 + 213*T1^12*T2^16 - 174*T1^13*T2^16 + 87*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1071] -> 
  {-((2 - 10*T + 26*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 529*T1^2 + 935*T1^3 - 1117*T1^4 + 935*T1^5 - 
      529*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1819*T1^2*T2 - 
      2542*T1^3*T2 + 1827*T1^4*T2 - 193*T1^5*T2 - 1102*T1^6*T2 + 
      1099*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 529*T2^2 + 1819*T1*T2^2 - 
      3091*T1^2*T2^2 + 3133*T1^3*T2^2 + 94*T1^4*T2^2 - 2937*T1^5*T2^2 + 
      3110*T1^6*T2^2 - 611*T1^7*T2^2 - 595*T1^8*T2^2 + 779*T1^9*T2^2 - 
      321*T1^10*T2^2 + 935*T2^3 - 2542*T1*T2^3 + 3133*T1^2*T2^3 - 
      1540*T1^3*T2^3 - 4293*T1^4*T2^3 + 5067*T1^5*T2^3 - 1321*T1^6*T2^3 - 
      3513*T1^7*T2^3 + 2348*T1^8*T2^3 - 923*T1^9*T2^3 - 302*T1^10*T2^3 + 
      383*T1^11*T2^3 - 1117*T2^4 + 1827*T1*T2^4 + 94*T1^2*T2^4 - 
      4293*T1^3*T2^4 + 11137*T1^4*T2^4 - 5423*T1^5*T2^4 - 2245*T1^6*T2^4 + 
      5417*T1^7*T2^4 + 1337*T1^8*T2^4 - 2453*T1^9*T2^4 + 2334*T1^10*T2^4 - 
      733*T1^11*T2^4 - 237*T1^12*T2^4 + 935*T2^5 - 193*T1*T2^5 - 
      2937*T1^2*T2^5 + 5067*T1^3*T2^5 - 5423*T1^4*T2^5 - 9662*T1^5*T2^5 + 
      13330*T1^6*T2^5 - 5226*T1^7*T2^5 - 8720*T1^8*T2^5 + 5421*T1^9*T2^5 - 
      2321*T1^10*T2^5 - 789*T1^11*T2^5 + 1107*T1^12*T2^5 + 15*T1^13*T2^5 - 
      529*T2^6 - 1102*T1*T2^6 + 3110*T1^2*T2^6 - 1321*T1^3*T2^6 - 
      2245*T1^4*T2^6 + 13330*T1^5*T2^6 + 577*T1^6*T2^6 - 18673*T1^7*T2^6 + 
      24765*T1^8*T2^6 - 6462*T1^9*T2^6 - 1085*T1^10*T2^6 + 3567*T1^11*T2^6 - 
      1458*T1^12*T2^6 - 542*T1^13*T2^6 + 95*T1^14*T2^6 + 204*T2^7 + 
      1099*T1*T2^7 - 611*T1^2*T2^7 - 3513*T1^3*T2^7 + 5417*T1^4*T2^7 - 
      5226*T1^5*T2^7 - 18673*T1^6*T2^7 + 28022*T1^7*T2^7 - 14292*T1^8*T2^7 - 
      10973*T1^9*T2^7 + 10858*T1^10*T2^7 - 5411*T1^11*T2^7 - 53*T1^12*T2^7 + 
      1573*T1^13*T2^7 - 101*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 595*T1^2*T2^8 + 2348*T1^3*T2^8 + 1337*T1^4*T2^8 - 
      8720*T1^5*T2^8 + 24765*T1^6*T2^8 - 14292*T1^7*T2^8 - 11220*T1^8*T2^8 + 
      25172*T1^9*T2^8 - 11043*T1^10*T2^8 - 8*T1^11*T2^8 + 3481*T1^12*T2^8 - 
      2100*T1^13*T2^8 - 355*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 779*T1^2*T2^9 - 923*T1^3*T2^9 - 2453*T1^4*T2^9 + 
      5421*T1^5*T2^9 - 6462*T1^6*T2^9 - 10973*T1^7*T2^9 + 25172*T1^8*T2^9 - 
      17142*T1^9*T2^9 - 3273*T1^10*T2^9 + 9622*T1^11*T2^9 - 5407*T1^12*T2^9 + 
      1007*T1^13*T2^9 + 1261*T1^14*T2^9 - 421*T1^15*T2^9 - 116*T1^16*T2^9 - 
      321*T1^2*T2^10 - 302*T1^3*T2^10 + 2334*T1^4*T2^10 - 2321*T1^5*T2^10 - 
      1085*T1^6*T2^10 + 10858*T1^7*T2^10 - 11043*T1^8*T2^10 - 
      3273*T1^9*T2^10 + 13145*T1^10*T2^10 - 8934*T1^11*T2^10 + 
      75*T1^12*T2^10 + 2567*T1^13*T2^10 - 2234*T1^14*T2^10 + 
      258*T1^15*T2^10 + 303*T1^16*T2^10 + 383*T1^3*T2^11 - 733*T1^4*T2^11 - 
      789*T1^5*T2^11 + 3567*T1^6*T2^11 - 5411*T1^7*T2^11 - 8*T1^8*T2^11 + 
      9622*T1^9*T2^11 - 8934*T1^10*T2^11 + 934*T1^11*T2^11 + 
      5433*T1^12*T2^11 - 3821*T1^13*T2^11 + 1359*T1^14*T2^11 + 
      567*T1^15*T2^11 - 537*T1^16*T2^11 - 237*T1^4*T2^12 + 1107*T1^5*T2^12 - 
      1458*T1^6*T2^12 - 53*T1^7*T2^12 + 3481*T1^8*T2^12 - 5407*T1^9*T2^12 + 
      75*T1^10*T2^12 + 5433*T1^11*T2^12 - 6319*T1^12*T2^12 + 
      1787*T1^13*T2^12 + 782*T1^14*T2^12 - 1453*T1^15*T2^12 + 
      643*T1^16*T2^12 + 15*T1^5*T2^13 - 542*T1^6*T2^13 + 1573*T1^7*T2^13 - 
      2100*T1^8*T2^13 + 1007*T1^9*T2^13 + 2567*T1^10*T2^13 - 
      3821*T1^11*T2^13 + 1787*T1^12*T2^13 + 1788*T1^13*T2^13 - 
      2483*T1^14*T2^13 + 1698*T1^15*T2^13 - 537*T1^16*T2^13 + 95*T1^6*T2^14 - 
      101*T1^7*T2^14 - 355*T1^8*T2^14 + 1261*T1^9*T2^14 - 2234*T1^10*T2^14 + 
      1359*T1^11*T2^14 + 782*T1^12*T2^14 - 2483*T1^13*T2^14 + 
      2141*T1^14*T2^14 - 1141*T1^15*T2^14 + 303*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 421*T1^9*T2^15 + 258*T1^10*T2^15 + 567*T1^11*T2^15 - 
      1453*T1^12*T2^15 + 1698*T1^13*T2^15 - 1141*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      303*T1^10*T2^16 - 537*T1^11*T2^16 + 643*T1^12*T2^16 - 537*T1^13*T2^16 + 
      303*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1072] -> 
  {(2 - 11*T + 30*T^2 - 49*T^3 + 57*T^4 - 49*T^5 + 30*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-15 + 84*T1 - 233*T1^2 + 387*T1^3 - 453*T1^4 + 387*T1^5 - 
     233*T1^6 + 84*T1^7 - 15*T1^8 + 84*T2 - 428*T1*T2 + 1067*T1^2*T2 - 
     1506*T1^3*T2 + 1439*T1^4*T2 - 893*T1^5*T2 + 232*T1^6*T2 + 165*T1^7*T2 - 
     142*T1^8*T2 + 40*T1^9*T2 - 233*T2^2 + 1067*T1*T2^2 - 2300*T1^2*T2^2 + 
     2384*T1^3*T2^2 - 1091*T1^4*T2^2 - 830*T1^5*T2^2 + 2149*T1^6*T2^2 - 
     2176*T1^7*T2^2 + 1060*T1^8*T2^2 - 253*T1^9*T2^2 + 7*T1^10*T2^2 + 
     387*T2^3 - 1506*T1*T2^3 + 2384*T1^2*T2^3 - 220*T1^3*T2^3 - 
     3589*T1^4*T2^3 + 6133*T1^5*T2^3 - 5621*T1^6*T2^3 + 2489*T1^7*T2^3 + 
     1244*T1^8*T2^3 - 2146*T1^9*T2^3 + 1068*T1^10*T2^3 - 201*T1^11*T2^3 - 
     453*T2^4 + 1439*T1*T2^4 - 1091*T1^2*T2^4 - 3589*T1^3*T2^4 + 
     7744*T1^4*T2^4 - 6289*T1^5*T2^4 + 654*T1^6*T2^4 + 5489*T1^7*T2^4 - 
     8140*T1^8*T2^4 + 4251*T1^9*T2^4 + 731*T1^10*T2^4 - 1421*T1^11*T2^4 + 
     459*T1^12*T2^4 + 387*T2^5 - 893*T1*T2^5 - 830*T1^2*T2^5 + 
     6133*T1^3*T2^5 - 6289*T1^4*T2^5 - 3275*T1^5*T2^5 + 12094*T1^6*T2^5 - 
     15217*T1^7*T2^5 + 9937*T1^8*T2^5 + 1442*T1^9*T2^5 - 7177*T1^10*T2^5 + 
     2221*T1^11*T2^5 + 735*T1^12*T2^5 - 593*T1^13*T2^5 - 233*T2^6 + 
     232*T1*T2^6 + 2149*T1^2*T2^6 - 5621*T1^3*T2^6 + 654*T1^4*T2^6 + 
     12094*T1^5*T2^6 - 12274*T1^6*T2^6 + 4514*T1^7*T2^6 + 8218*T1^8*T2^6 - 
     16926*T1^9*T2^6 + 11290*T1^10*T2^6 + 3799*T1^11*T2^6 - 3927*T1^12*T2^6 + 
     584*T1^13*T2^6 + 487*T1^14*T2^6 + 84*T2^7 + 165*T1*T2^7 - 
     2176*T1^2*T2^7 + 2489*T1^3*T2^7 + 5489*T1^4*T2^7 - 15217*T1^5*T2^7 + 
     4514*T1^6*T2^7 + 3929*T1^7*T2^7 - 9387*T1^8*T2^7 + 4811*T1^9*T2^7 + 
     8676*T1^10*T2^7 - 18430*T1^11*T2^7 + 3459*T1^12*T2^7 + 2534*T1^13*T2^7 - 
     1441*T1^14*T2^7 - 224*T1^15*T2^7 - 15*T2^8 - 142*T1*T2^8 + 
     1060*T1^2*T2^8 + 1244*T1^3*T2^8 - 8140*T1^4*T2^8 + 9937*T1^5*T2^8 + 
     8218*T1^6*T2^8 - 9387*T1^7*T2^8 + 6444*T1^8*T2^8 + 3443*T1^9*T2^8 - 
     10872*T1^10*T2^8 + 7807*T1^11*T2^8 + 13288*T1^12*T2^8 - 
     8540*T1^13*T2^8 + 1234*T1^14*T2^8 + 958*T1^15*T2^8 + 49*T1^16*T2^8 + 
     40*T1*T2^9 - 253*T1^2*T2^9 - 2146*T1^3*T2^9 + 4251*T1^4*T2^9 + 
     1442*T1^5*T2^9 - 16926*T1^6*T2^9 + 4811*T1^7*T2^9 + 3443*T1^8*T2^9 - 
     9873*T1^9*T2^9 + 5108*T1^10*T2^9 + 6967*T1^11*T2^9 - 22477*T1^12*T2^9 + 
     5221*T1^13*T2^9 + 2564*T1^14*T2^9 - 1859*T1^15*T2^9 - 268*T1^16*T2^9 + 
     7*T1^2*T2^10 + 1068*T1^3*T2^10 + 731*T1^4*T2^10 - 7177*T1^5*T2^10 + 
     11290*T1^6*T2^10 + 8676*T1^7*T2^10 - 10872*T1^8*T2^10 + 
     5108*T1^9*T2^10 + 9620*T1^10*T2^10 - 20344*T1^11*T2^10 + 
     21926*T1^12*T2^10 + 2243*T1^13*T2^10 - 5345*T1^14*T2^10 + 
     1420*T1^15*T2^10 + 727*T1^16*T2^10 - 201*T1^3*T2^11 - 1421*T1^4*T2^11 + 
     2221*T1^5*T2^11 + 3799*T1^6*T2^11 - 18430*T1^7*T2^11 + 7807*T1^8*T2^11 + 
     6967*T1^9*T2^11 - 20344*T1^10*T2^11 + 21019*T1^11*T2^11 - 
     10699*T1^12*T2^11 - 9511*T1^13*T2^11 + 5272*T1^14*T2^11 + 
     207*T1^15*T2^11 - 1181*T1^16*T2^11 + 459*T1^4*T2^12 + 735*T1^5*T2^12 - 
     3927*T1^6*T2^12 + 3459*T1^7*T2^12 + 13288*T1^8*T2^12 - 
     22477*T1^9*T2^12 + 21926*T1^10*T2^12 - 10699*T1^11*T2^12 - 
     2596*T1^12*T2^12 + 11299*T1^13*T2^12 - 2105*T1^14*T2^12 - 
     2125*T1^15*T2^12 + 1371*T1^16*T2^12 - 593*T1^5*T2^13 + 584*T1^6*T2^13 + 
     2534*T1^7*T2^13 - 8540*T1^8*T2^13 + 5221*T1^9*T2^13 + 2243*T1^10*T2^13 - 
     9511*T1^11*T2^13 + 11299*T1^12*T2^13 - 7076*T1^13*T2^13 - 
     1996*T1^14*T2^13 + 3158*T1^15*T2^13 - 1181*T1^16*T2^13 + 
     487*T1^6*T2^14 - 1441*T1^7*T2^14 + 1234*T1^8*T2^14 + 2564*T1^9*T2^14 - 
     5345*T1^10*T2^14 + 5272*T1^11*T2^14 - 2105*T1^12*T2^14 - 
     1996*T1^13*T2^14 + 4594*T1^14*T2^14 - 2761*T1^15*T2^14 + 
     727*T1^16*T2^14 - 224*T1^7*T2^15 + 958*T1^8*T2^15 - 1859*T1^9*T2^15 + 
     1420*T1^10*T2^15 + 207*T1^11*T2^15 - 2125*T1^12*T2^15 + 
     3158*T1^13*T2^15 - 2761*T1^14*T2^15 + 1244*T1^15*T2^15 - 
     268*T1^16*T2^15 + 49*T1^8*T2^16 - 268*T1^9*T2^16 + 727*T1^10*T2^16 - 
     1181*T1^11*T2^16 + 1371*T1^12*T2^16 - 1181*T1^13*T2^16 + 
     727*T1^14*T2^16 - 268*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1073] -> 
  {-(((1 - T + T^2)*(4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4))/T^3), 
   -((-336 + 1832*T1 - 4060*T1^2 + 5216*T1^3 - 4060*T1^4 + 1832*T1^5 - 
      336*T1^6 + 1832*T2 - 8510*T1*T2 + 14092*T1^2*T2 - 10618*T1^3*T2 - 
      762*T1^4*T2 + 7844*T1^5*T2 - 6222*T1^6*T2 + 1480*T1^7*T2 - 4060*T2^2 + 
      14092*T1*T2^2 - 7899*T1^2*T2^2 - 20167*T1^3*T2^2 + 45301*T1^4*T2^2 - 
      36239*T1^5*T2^2 + 9741*T1^6*T2^2 + 5468*T1^7*T2^2 - 2492*T1^8*T2^2 + 
      5216*T2^3 - 10618*T1*T2^3 - 20167*T1^2*T2^3 + 62666*T1^3*T2^3 - 
      62665*T1^4*T2^3 + 4395*T1^5*T2^3 + 36780*T1^6*T2^3 - 29183*T1^7*T2^3 + 
      1702*T1^8*T2^3 + 2192*T1^9*T2^3 - 4060*T2^4 - 762*T1*T2^4 + 
      45301*T1^2*T2^4 - 62665*T1^3*T2^4 + 8237*T1^4*T2^4 + 73357*T1^5*T2^4 - 
      70135*T1^6*T2^4 + 12683*T1^7*T2^4 + 22733*T1^8*T2^4 - 6922*T1^9*T2^4 - 
      924*T1^10*T2^4 + 1832*T2^5 + 7844*T1*T2^5 - 36239*T1^2*T2^5 + 
      4395*T1^3*T2^5 + 73357*T1^4*T2^5 - 104243*T1^5*T2^5 + 23327*T1^6*T2^5 + 
      49298*T1^7*T2^5 - 46089*T1^8*T2^5 + 1001*T1^9*T2^5 + 4588*T1^10*T2^5 + 
      72*T1^11*T2^5 - 336*T2^6 - 6222*T1*T2^6 + 9741*T1^2*T2^6 + 
      36780*T1^3*T2^6 - 70135*T1^4*T2^6 + 23327*T1^5*T2^6 + 75048*T1^6*T2^6 - 
      88547*T1^7*T2^6 + 28691*T1^8*T2^6 + 19952*T1^9*T2^6 - 8939*T1^10*T2^6 - 
      590*T1^11*T2^6 + 48*T1^12*T2^6 + 1480*T1*T2^7 + 5468*T1^2*T2^7 - 
      29183*T1^3*T2^7 + 12683*T1^4*T2^7 + 49298*T1^5*T2^7 - 88547*T1^6*T2^7 + 
      39023*T1^7*T2^7 + 25239*T1^8*T2^7 - 37801*T1^9*T2^7 + 8057*T1^10*T2^7 + 
      2212*T1^11*T2^7 - 280*T1^12*T2^7 - 2492*T1^2*T2^8 + 1702*T1^3*T2^8 + 
      22733*T1^4*T2^8 - 46089*T1^5*T2^8 + 28691*T1^6*T2^8 + 25239*T1^7*T2^8 - 
      49681*T1^8*T2^8 + 29259*T1^9*T2^8 + 165*T1^10*T2^8 - 4458*T1^11*T2^8 + 
      644*T1^12*T2^8 + 2192*T1^3*T2^9 - 6922*T1^4*T2^9 + 1001*T1^5*T2^9 + 
      19952*T1^6*T2^9 - 37801*T1^7*T2^9 + 29259*T1^8*T2^9 - 5934*T1^9*T2^9 - 
      8015*T1^10*T2^9 + 5398*T1^11*T2^9 - 832*T1^12*T2^9 - 924*T1^4*T2^10 + 
      4588*T1^5*T2^10 - 8939*T1^6*T2^10 + 8057*T1^7*T2^10 + 165*T1^8*T2^10 - 
      8015*T1^9*T2^10 + 8701*T1^10*T2^10 - 4036*T1^11*T2^10 + 
      644*T1^12*T2^10 + 72*T1^5*T2^11 - 590*T1^6*T2^11 + 2212*T1^7*T2^11 - 
      4458*T1^8*T2^11 + 5398*T1^9*T2^11 - 4036*T1^10*T2^11 + 
      1698*T1^11*T2^11 - 280*T1^12*T2^11 + 48*T1^6*T2^12 - 280*T1^7*T2^12 + 
      644*T1^8*T2^12 - 832*T1^9*T2^12 + 644*T1^10*T2^12 - 280*T1^11*T2^12 + 
      48*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1074] -> 
  {(1 - 8*T + 24*T^2 - 40*T^3 + 47*T^4 - 40*T^5 + 24*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 144*T1^2 + 240*T1^3 - 282*T1^4 + 240*T1^5 - 144*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 831*T1^2*T2 - 958*T1^3*T2 + 
     655*T1^4*T2 - 41*T1^5*T2 - 446*T1^6*T2 + 575*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 144*T2^2 + 831*T1*T2^2 - 998*T1^2*T2^2 - 1101*T1^3*T2^2 + 
     3622*T1^4*T2^2 - 5306*T1^5*T2^2 + 4726*T1^6*T2^2 - 2637*T1^7*T2^2 + 
     106*T1^8*T2^2 + 447*T1^9*T2^2 - 96*T1^10*T2^2 + 240*T2^3 - 958*T1*T2^3 - 
     1101*T1^2*T2^3 + 7218*T1^3*T2^3 - 9460*T1^4*T2^3 + 7585*T1^5*T2^3 - 
     1439*T1^6*T2^3 - 3772*T1^7*T2^3 + 5994*T1^8*T2^3 - 2253*T1^9*T2^3 - 
     190*T1^10*T2^3 + 120*T1^11*T2^3 - 282*T2^4 + 655*T1*T2^4 + 
     3622*T1^2*T2^4 - 9460*T1^3*T2^4 + 3239*T1^4*T2^4 + 5805*T1^5*T2^4 - 
     14687*T1^6*T2^4 + 14509*T1^7*T2^4 - 8593*T1^8*T2^4 - 2260*T1^9*T2^4 + 
     3014*T1^10*T2^4 - 209*T1^11*T2^4 - 94*T1^12*T2^4 + 240*T2^5 - 
     41*T1*T2^5 - 5306*T1^2*T2^5 + 7585*T1^3*T2^5 + 5805*T1^4*T2^5 - 
     12716*T1^5*T2^5 + 13955*T1^6*T2^5 - 3773*T1^7*T2^5 - 5116*T1^8*T2^5 + 
     11933*T1^9*T2^5 - 2847*T1^10*T2^5 - 2042*T1^11*T2^5 + 431*T1^12*T2^5 + 
     40*T1^13*T2^5 - 144*T2^6 - 446*T1*T2^6 + 4726*T1^2*T2^6 - 
     1439*T1^3*T2^6 - 14687*T1^4*T2^6 + 13955*T1^5*T2^6 - 7600*T1^6*T2^6 - 
     4568*T1^7*T2^6 + 6640*T1^8*T2^6 - 5117*T1^9*T2^6 - 7231*T1^10*T2^6 + 
     5473*T1^11*T2^6 + 198*T1^12*T2^6 - 318*T1^13*T2^6 + 48*T2^7 + 
     575*T1*T2^7 - 2637*T1^2*T2^7 - 3772*T1^3*T2^7 + 14509*T1^4*T2^7 - 
     3773*T1^5*T2^7 - 4568*T1^6*T2^7 + 8708*T1^7*T2^7 - 748*T1^8*T2^7 - 
     4632*T1^9*T2^7 + 11267*T1^10*T2^7 - 1923*T1^11*T2^7 - 3412*T1^12*T2^7 + 
     819*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     106*T1^2*T2^8 + 5994*T1^3*T2^8 - 8593*T1^4*T2^8 - 5116*T1^5*T2^8 + 
     6640*T1^6*T2^8 - 748*T1^7*T2^8 - 8364*T1^8*T2^8 + 7892*T1^9*T2^8 - 
     4944*T1^10*T2^8 - 5948*T1^11*T2^8 + 6119*T1^12*T2^8 - 342*T1^13*T2^8 - 
     470*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     447*T1^2*T2^9 - 2253*T1^3*T2^9 - 2260*T1^4*T2^9 + 11933*T1^5*T2^9 - 
     5117*T1^6*T2^9 - 4632*T1^7*T2^9 + 7892*T1^8*T2^9 - 1564*T1^9*T2^9 - 
     4696*T1^10*T2^9 + 9923*T1^11*T2^9 - 4499*T1^12*T2^9 - 1900*T1^13*T2^9 + 
     1203*T1^14*T2^9 - 65*T1^15*T2^9 - 16*T1^16*T2^9 - 96*T1^2*T2^10 - 
     190*T1^3*T2^10 + 3014*T1^4*T2^10 - 2847*T1^5*T2^10 - 7231*T1^6*T2^10 + 
     11267*T1^7*T2^10 - 4944*T1^8*T2^10 - 4696*T1^9*T2^10 + 
     9296*T1^10*T2^10 - 7805*T1^11*T2^10 + 225*T1^12*T2^10 + 
     4065*T1^13*T2^10 - 1514*T1^14*T2^10 - 62*T1^15*T2^10 + 48*T1^16*T2^10 + 
     120*T1^3*T2^11 - 209*T1^4*T2^11 - 2042*T1^5*T2^11 + 5473*T1^6*T2^11 - 
     1923*T1^7*T2^11 - 5948*T1^8*T2^11 + 9923*T1^9*T2^11 - 7805*T1^10*T2^11 + 
     1652*T1^11*T2^11 + 4205*T1^12*T2^11 - 4959*T1^13*T2^11 + 
     1222*T1^14*T2^11 + 263*T1^15*T2^11 - 80*T1^16*T2^11 - 94*T1^4*T2^12 + 
     431*T1^5*T2^12 + 198*T1^6*T2^12 - 3412*T1^7*T2^12 + 6119*T1^8*T2^12 - 
     4499*T1^9*T2^12 + 225*T1^10*T2^12 + 4205*T1^11*T2^12 - 
     5713*T1^12*T2^12 + 3788*T1^13*T2^12 - 410*T1^14*T2^12 - 
     433*T1^15*T2^12 + 94*T1^16*T2^12 + 40*T1^5*T2^13 - 318*T1^6*T2^13 + 
     819*T1^7*T2^13 - 342*T1^8*T2^13 - 1900*T1^9*T2^13 + 4065*T1^10*T2^13 - 
     4959*T1^11*T2^13 + 3788*T1^12*T2^13 - 1566*T1^13*T2^13 - 
     333*T1^14*T2^13 + 450*T1^15*T2^13 - 80*T1^16*T2^13 + 63*T1^7*T2^14 - 
     470*T1^8*T2^14 + 1203*T1^9*T2^14 - 1514*T1^10*T2^14 + 1222*T1^11*T2^14 - 
     410*T1^12*T2^14 - 333*T1^13*T2^14 + 634*T1^14*T2^14 - 321*T1^15*T2^14 + 
     48*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 65*T1^9*T2^15 - 
     62*T1^10*T2^15 + 263*T1^11*T2^15 - 433*T1^12*T2^15 + 450*T1^13*T2^15 - 
     321*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 48*T1^10*T2^16 - 80*T1^11*T2^16 + 94*T1^12*T2^16 - 
     80*T1^13*T2^16 + 48*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1075] -> 
  {-((4 - 19*T + 41*T^2 - 53*T^3 + 41*T^4 - 19*T^5 + 4*T^6)/T^3), 
   -((-208 + 984*T1 - 2124*T1^2 + 2752*T1^3 - 2124*T1^4 + 984*T1^5 - 
      208*T1^6 + 984*T2 - 3980*T1*T2 + 6845*T1^2*T2 - 6089*T1^3*T2 + 
      1055*T1^4*T2 + 2285*T1^5*T2 - 2232*T1^6*T2 + 680*T1^7*T2 - 2124*T2^2 + 
      6845*T1*T2^2 - 7365*T1^2*T2^2 - 657*T1^3*T2^2 + 12257*T1^4*T2^2 - 
      11809*T1^5*T2^2 + 4771*T1^6*T2^2 + 613*T1^7*T2^2 - 812*T1^8*T2^2 + 
      2752*T2^3 - 6089*T1*T2^3 - 657*T1^2*T2^3 + 15807*T1^3*T2^3 - 
      25276*T1^4*T2^3 + 9790*T1^5*T2^3 + 5319*T1^6*T2^3 - 8816*T1^7*T2^3 + 
      2879*T1^8*T2^3 + 208*T1^9*T2^3 - 2124*T2^4 + 1055*T1*T2^4 + 
      12257*T1^2*T2^4 - 25276*T1^3*T2^4 + 20118*T1^4*T2^4 + 12144*T1^5*T2^4 - 
      24086*T1^6*T2^4 + 14474*T1^7*T2^4 + 887*T1^8*T2^4 - 3353*T1^9*T2^4 + 
      500*T1^10*T2^4 + 984*T2^5 + 2285*T1*T2^5 - 11809*T1^2*T2^5 + 
      9790*T1^3*T2^5 + 12144*T1^4*T2^5 - 42440*T1^5*T2^5 + 30342*T1^6*T2^5 - 
      607*T1^7*T2^5 - 15908*T1^8*T2^5 + 8322*T1^9*T2^5 + 157*T1^10*T2^5 - 
      536*T1^11*T2^5 - 208*T2^6 - 2232*T1*T2^6 + 4771*T1^2*T2^6 + 
      5319*T1^3*T2^6 - 24086*T1^4*T2^6 + 30342*T1^5*T2^6 + 3588*T1^6*T2^6 - 
      32362*T1^7*T2^6 + 27712*T1^8*T2^6 - 4443*T1^9*T2^6 - 5281*T1^10*T2^6 + 
      1720*T1^11*T2^6 + 176*T1^12*T2^6 + 680*T1*T2^7 + 613*T1^2*T2^7 - 
      8816*T1^3*T2^7 + 14474*T1^4*T2^7 - 607*T1^5*T2^7 - 32362*T1^6*T2^7 + 
      40420*T1^7*T2^7 - 13358*T1^8*T2^7 - 11224*T1^9*T2^7 + 
      11315*T1^10*T2^7 - 1515*T1^11*T2^7 - 840*T1^12*T2^7 - 812*T1^2*T2^8 + 
      2879*T1^3*T2^8 + 887*T1^4*T2^8 - 15908*T1^5*T2^8 + 27712*T1^6*T2^8 - 
      13358*T1^7*T2^8 - 16492*T1^8*T2^8 + 23842*T1^9*T2^8 - 
      10483*T1^10*T2^8 - 1529*T1^11*T2^8 + 1812*T1^12*T2^8 + 208*T1^3*T2^9 - 
      3353*T1^4*T2^9 + 8322*T1^5*T2^9 - 4443*T1^6*T2^9 - 11224*T1^7*T2^9 + 
      23842*T1^8*T2^9 - 14931*T1^9*T2^9 + 163*T1^10*T2^9 + 5615*T1^11*T2^9 - 
      2336*T1^12*T2^9 + 500*T1^4*T2^10 + 157*T1^5*T2^10 - 5281*T1^6*T2^10 + 
      11315*T1^7*T2^10 - 10483*T1^8*T2^10 + 163*T1^9*T2^10 + 
      6855*T1^10*T2^10 - 6075*T1^11*T2^10 + 1812*T1^12*T2^10 - 
      536*T1^5*T2^11 + 1720*T1^6*T2^11 - 1515*T1^7*T2^11 - 1529*T1^8*T2^11 + 
      5615*T1^9*T2^11 - 6075*T1^10*T2^11 + 3468*T1^11*T2^11 - 
      840*T1^12*T2^11 + 176*T1^6*T2^12 - 840*T1^7*T2^12 + 1812*T1^8*T2^12 - 
      2336*T1^9*T2^12 + 1812*T1^10*T2^12 - 840*T1^11*T2^12 + 176*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1076] -> 
  {((1 - 5*T + 9*T^2 - 5*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 116*T1^2 + 240*T1^3 - 308*T1^4 + 240*T1^5 - 116*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 736*T1^2*T2 - 1223*T1^3*T2 + 
     1023*T1^4*T2 - 73*T1^5*T2 - 511*T1^6*T2 + 440*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 116*T2^2 + 736*T1*T2^2 - 1893*T1^2*T2^2 + 1891*T1^3*T2^2 + 
     803*T1^4*T2^2 - 4191*T1^5*T2^2 + 3587*T1^6*T2^2 - 1125*T1^7*T2^2 - 
     269*T1^8*T2^2 + 272*T1^9*T2^2 - 58*T1^10*T2^2 + 240*T2^3 - 
     1223*T1*T2^3 + 1891*T1^2*T2^3 + 1968*T1^3*T2^3 - 9952*T1^4*T2^3 + 
     12856*T1^5*T2^3 - 2908*T1^6*T2^3 - 4604*T1^7*T2^3 + 4364*T1^8*T2^3 - 
     1241*T1^9*T2^3 - 15*T1^10*T2^3 + 60*T1^11*T2^3 - 308*T2^4 + 
     1023*T1*T2^4 + 803*T1^2*T2^4 - 9952*T1^3*T2^4 + 17349*T1^4*T2^4 - 
     5888*T1^5*T2^4 - 21891*T1^6*T2^4 + 24176*T1^7*T2^4 - 9163*T1^8*T2^4 - 
     1552*T1^9*T2^4 + 2055*T1^10*T2^4 - 481*T1^11*T2^4 + 240*T2^5 - 
     73*T1*T2^5 - 4191*T1^2*T2^5 + 12856*T1^3*T2^5 - 5888*T1^4*T2^5 - 
     28392*T1^5*T2^5 + 58509*T1^6*T2^5 - 26499*T1^7*T2^5 - 12312*T1^8*T2^5 + 
     19360*T1^9*T2^5 - 7076*T1^10*T2^5 + 153*T1^11*T2^5 + 479*T1^12*T2^5 - 
     60*T1^13*T2^5 - 116*T2^6 - 511*T1*T2^6 + 3587*T1^2*T2^6 - 
     2908*T1^3*T2^6 - 21891*T1^4*T2^6 + 58509*T1^5*T2^6 - 50822*T1^6*T2^6 - 
     30918*T1^7*T2^6 + 68578*T1^8*T2^6 - 38243*T1^9*T2^6 + 1355*T1^10*T2^6 + 
     6604*T1^11*T2^6 - 2261*T1^12*T2^6 + 17*T1^13*T2^6 + 58*T1^14*T2^6 + 
     32*T2^7 + 440*T1*T2^7 - 1125*T1^2*T2^7 - 4604*T1^3*T2^7 + 
     24176*T1^4*T2^7 - 26499*T1^5*T2^7 - 30918*T1^6*T2^7 + 116102*T1^7*T2^7 - 
     94674*T1^8*T2^7 + 5698*T1^9*T2^7 + 35021*T1^10*T2^7 - 20336*T1^11*T2^7 + 
     2256*T1^12*T2^7 + 1311*T1^13*T2^7 - 272*T1^14*T2^7 - 24*T1^15*T2^7 - 
     4*T2^8 - 160*T1*T2^8 - 269*T1^2*T2^8 + 4364*T1^3*T2^8 - 9163*T1^4*T2^8 - 
     12312*T1^5*T2^8 + 68578*T1^6*T2^8 - 94674*T1^7*T2^8 + 9240*T1^8*T2^8 + 
     86686*T1^9*T2^8 - 72966*T1^10*T2^8 + 16536*T1^11*T2^8 + 
     8369*T1^12*T2^8 - 4692*T1^13*T2^8 + 255*T1^14*T2^8 + 160*T1^15*T2^8 + 
     4*T1^16*T2^8 + 24*T1*T2^9 + 272*T1^2*T2^9 - 1241*T1^3*T2^9 - 
     1552*T1^4*T2^9 + 19360*T1^5*T2^9 - 38243*T1^6*T2^9 + 5698*T1^7*T2^9 + 
     86686*T1^8*T2^9 - 124090*T1^9*T2^9 + 42314*T1^10*T2^9 + 
     23277*T1^11*T2^9 - 25152*T1^12*T2^9 + 5308*T1^13*T2^9 + 
     1195*T1^14*T2^9 - 440*T1^15*T2^9 - 32*T1^16*T2^9 - 58*T1^2*T2^10 - 
     15*T1^3*T2^10 + 2055*T1^4*T2^10 - 7076*T1^5*T2^10 + 1355*T1^6*T2^10 + 
     35021*T1^7*T2^10 - 72966*T1^8*T2^10 + 42314*T1^9*T2^10 + 
     46434*T1^10*T2^10 - 61731*T1^11*T2^10 + 24601*T1^12*T2^10 + 
     2436*T1^13*T2^10 - 3793*T1^14*T2^10 + 513*T1^15*T2^10 + 
     116*T1^16*T2^10 + 60*T1^3*T2^11 - 481*T1^4*T2^11 + 153*T1^5*T2^11 + 
     6604*T1^6*T2^11 - 20336*T1^7*T2^11 + 16536*T1^8*T2^11 + 
     23277*T1^9*T2^11 - 61731*T1^10*T2^11 + 32616*T1^11*T2^11 + 
     4912*T1^12*T2^11 - 13328*T1^13*T2^11 + 4497*T1^14*T2^11 + 
     71*T1^15*T2^11 - 240*T1^16*T2^11 + 479*T1^5*T2^12 - 2261*T1^6*T2^12 + 
     2256*T1^7*T2^12 + 8369*T1^8*T2^12 - 25152*T1^9*T2^12 + 
     24601*T1^10*T2^12 + 4912*T1^11*T2^12 - 18143*T1^12*T2^12 + 
     10656*T1^13*T2^12 - 1009*T1^14*T2^12 - 1025*T1^15*T2^12 + 
     308*T1^16*T2^12 - 60*T1^5*T2^13 + 17*T1^6*T2^13 + 1311*T1^7*T2^13 - 
     4692*T1^8*T2^13 + 5308*T1^9*T2^13 + 2436*T1^10*T2^13 - 
     13328*T1^11*T2^13 + 10656*T1^12*T2^13 - 2296*T1^13*T2^13 - 
     1821*T1^14*T2^13 + 1225*T1^15*T2^13 - 240*T1^16*T2^13 + 58*T1^6*T2^14 - 
     272*T1^7*T2^14 + 255*T1^8*T2^14 + 1195*T1^9*T2^14 - 3793*T1^10*T2^14 + 
     4497*T1^11*T2^14 - 1009*T1^12*T2^14 - 1821*T1^13*T2^14 + 
     1879*T1^14*T2^14 - 736*T1^15*T2^14 + 116*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 440*T1^9*T2^15 + 513*T1^10*T2^15 + 71*T1^11*T2^15 - 
     1025*T1^12*T2^15 + 1225*T1^13*T2^15 - 736*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     116*T1^10*T2^16 - 240*T1^11*T2^16 + 308*T1^12*T2^16 - 240*T1^13*T2^16 + 
     116*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1077] -> 
  {(3 - 16*T + 40*T^2 - 53*T^3 + 40*T^4 - 16*T^5 + 3*T^6)/T^3, 
   (-45 + 244*T1 - 616*T1^2 + 821*T1^3 - 616*T1^4 + 244*T1^5 - 45*T1^6 + 
     244*T2 - 1220*T1*T2 + 2779*T1^2*T2 - 3027*T1^3*T2 + 1437*T1^4*T2 + 
     91*T1^5*T2 - 308*T1^6*T2 + 100*T1^7*T2 - 616*T2^2 + 2779*T1*T2^2 - 
     5292*T1^2*T2^2 + 3060*T1^3*T2^2 + 2988*T1^4*T2^2 - 5820*T1^5*T2^2 + 
     3588*T1^6*T2^2 - 1061*T1^7*T2^2 + 104*T1^8*T2^2 + 821*T2^3 - 
     3027*T1*T2^3 + 3060*T1^2*T2^3 + 6387*T1^3*T2^3 - 17686*T1^4*T2^3 + 
     15122*T1^5*T2^3 - 2741*T1^6*T2^3 - 3860*T1^7*T2^3 + 2685*T1^8*T2^3 - 
     610*T1^9*T2^3 - 616*T2^4 + 1437*T1*T2^4 + 2988*T1^2*T2^4 - 
     17686*T1^3*T2^4 + 25100*T1^4*T2^4 - 4418*T1^5*T2^4 - 19892*T1^6*T2^4 + 
     19626*T1^7*T2^4 - 4948*T1^8*T2^4 - 1155*T1^9*T2^4 + 824*T1^10*T2^4 + 
     244*T2^5 + 91*T1*T2^5 - 5820*T1^2*T2^5 + 15122*T1^3*T2^5 - 
     4418*T1^4*T2^5 - 38382*T1^5*T2^5 + 55818*T1^6*T2^5 - 25218*T1^7*T2^5 - 
     8678*T1^8*T2^5 + 8940*T1^9*T2^5 - 1829*T1^10*T2^5 - 476*T1^11*T2^5 - 
     45*T2^6 - 308*T1*T2^6 + 3588*T1^2*T2^6 - 2741*T1^3*T2^6 - 
     19892*T1^4*T2^6 + 55818*T1^5*T2^6 - 33852*T1^6*T2^6 - 25558*T1^7*T2^6 + 
     46396*T1^8*T2^6 - 15843*T1^9*T2^6 - 1036*T1^10*T2^6 + 1900*T1^11*T2^6 + 
     117*T1^12*T2^6 + 100*T1*T2^7 - 1061*T1^2*T2^7 - 3860*T1^3*T2^7 + 
     19626*T1^4*T2^7 - 25218*T1^5*T2^7 - 25558*T1^6*T2^7 + 68642*T1^7*T2^7 - 
     46018*T1^8*T2^7 - 4174*T1^9*T2^7 + 10900*T1^10*T2^7 - 2981*T1^11*T2^7 - 
     620*T1^12*T2^7 + 104*T1^2*T2^8 + 2685*T1^3*T2^8 - 4948*T1^4*T2^8 - 
     8678*T1^5*T2^8 + 46396*T1^6*T2^8 - 46018*T1^7*T2^8 + 1404*T1^8*T2^8 + 
     28634*T1^9*T2^8 - 12884*T1^10*T2^8 + 93*T1^11*T2^8 + 1544*T1^12*T2^8 - 
     610*T1^3*T2^9 - 1155*T1^4*T2^9 + 8940*T1^5*T2^9 - 15843*T1^6*T2^9 - 
     4174*T1^7*T2^9 + 28634*T1^8*T2^9 - 24971*T1^9*T2^9 + 2020*T1^10*T2^9 + 
     4557*T1^11*T2^9 - 2041*T1^12*T2^9 + 824*T1^4*T2^10 - 1829*T1^5*T2^10 - 
     1036*T1^6*T2^10 + 10900*T1^7*T2^10 - 12884*T1^8*T2^10 + 
     2020*T1^9*T2^10 + 7844*T1^10*T2^10 - 5669*T1^11*T2^10 + 
     1544*T1^12*T2^10 - 476*T1^5*T2^11 + 1900*T1^6*T2^11 - 2981*T1^7*T2^11 + 
     93*T1^8*T2^11 + 4557*T1^9*T2^11 - 5669*T1^10*T2^11 + 2812*T1^11*T2^11 - 
     620*T1^12*T2^11 + 117*T1^6*T2^12 - 620*T1^7*T2^12 + 1544*T1^8*T2^12 - 
     2041*T1^9*T2^12 + 1544*T1^10*T2^12 - 620*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1078] -> 
  {(2 - 11*T + 32*T^2 - 58*T^3 + 71*T^4 - 58*T^5 + 32*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-33 + 180*T1 - 522*T1^2 + 945*T1^3 - 1157*T1^4 + 945*T1^5 - 
     522*T1^6 + 180*T1^7 - 33*T1^8 + 180*T2 - 846*T1*T2 + 2106*T1^2*T2 - 
     3007*T1^3*T2 + 2429*T1^4*T2 - 409*T1^5*T2 - 1027*T1^6*T2 + 
     1160*T1^7*T2 - 560*T1^8*T2 + 136*T1^9*T2 - 522*T2^2 + 2106*T1*T2^2 - 
     4490*T1^2*T2^2 + 4730*T1^3*T2^2 - 1421*T1^4*T2^2 - 3258*T1^5*T2^2 + 
     3571*T1^6*T2^2 - 1286*T1^7*T2^2 - 650*T1^8*T2^2 + 698*T1^9*T2^2 - 
     266*T1^10*T2^2 + 945*T2^3 - 3007*T1*T2^3 + 4730*T1^2*T2^3 - 
     902*T1^3*T2^3 - 6582*T1^4*T2^3 + 10736*T1^5*T2^3 - 3352*T1^6*T2^3 - 
     3438*T1^7*T2^3 + 4842*T1^8*T2^3 - 1830*T1^9*T2^3 + 117*T1^10*T2^3 + 
     249*T1^11*T2^3 - 1157*T2^4 + 2429*T1*T2^4 - 1421*T1^2*T2^4 - 
     6582*T1^3*T2^4 + 11626*T1^4*T2^4 - 4874*T1^5*T2^4 - 14964*T1^6*T2^4 + 
     18194*T1^7*T2^4 - 9154*T1^8*T2^4 - 1246*T1^9*T2^4 + 2719*T1^10*T2^4 - 
     1267*T1^11*T2^4 - 21*T1^12*T2^4 + 945*T2^5 - 409*T1*T2^5 - 
     3258*T1^2*T2^5 + 10736*T1^3*T2^5 - 4874*T1^4*T2^5 - 15163*T1^5*T2^5 + 
     35528*T1^6*T2^5 - 17966*T1^7*T2^5 - 5449*T1^8*T2^5 + 14718*T1^9*T2^5 - 
     6472*T1^10*T2^5 + 243*T1^11*T2^5 + 1285*T1^12*T2^5 - 215*T1^13*T2^5 - 
     522*T2^6 - 1027*T1*T2^6 + 3571*T1^2*T2^6 - 3352*T1^3*T2^6 - 
     14964*T1^4*T2^6 + 35528*T1^5*T2^6 - 33999*T1^6*T2^6 - 11435*T1^7*T2^6 + 
     34793*T1^8*T2^6 - 24224*T1^9*T2^6 + 604*T1^10*T2^6 + 6056*T1^11*T2^6 - 
     3125*T1^12*T2^6 - 147*T1^13*T2^6 + 246*T1^14*T2^6 + 180*T2^7 + 
     1160*T1*T2^7 - 1286*T1^2*T2^7 - 3438*T1^3*T2^7 + 18194*T1^4*T2^7 - 
     17966*T1^5*T2^7 - 11435*T1^6*T2^7 + 57150*T1^7*T2^7 - 46630*T1^8*T2^7 + 
     3281*T1^9*T2^7 + 23012*T1^10*T2^7 - 15302*T1^11*T2^7 + 2186*T1^12*T2^7 + 
     2010*T1^13*T2^7 - 666*T1^14*T2^7 - 128*T1^15*T2^7 - 33*T2^8 - 
     560*T1*T2^8 - 650*T1^2*T2^8 + 4842*T1^3*T2^8 - 9154*T1^4*T2^8 - 
     5449*T1^5*T2^8 + 34793*T1^6*T2^8 - 46630*T1^7*T2^8 + 1164*T1^8*T2^8 + 
     44678*T1^9*T2^8 - 39883*T1^10*T2^8 + 8513*T1^11*T2^8 + 8074*T1^12*T2^8 - 
     5382*T1^13*T2^8 + 580*T1^14*T2^8 + 540*T1^15*T2^8 + 31*T1^16*T2^8 + 
     136*T1*T2^9 + 698*T1^2*T2^9 - 1830*T1^3*T2^9 - 1246*T1^4*T2^9 + 
     14718*T1^5*T2^9 - 24224*T1^6*T2^9 + 3281*T1^7*T2^9 + 44678*T1^8*T2^9 - 
     59102*T1^9*T2^9 + 17997*T1^10*T2^9 + 16754*T1^11*T2^9 - 
     18778*T1^12*T2^9 + 4378*T1^13*T2^9 + 1466*T1^14*T2^9 - 1128*T1^15*T2^9 - 
     172*T1^16*T2^9 - 266*T1^2*T2^10 + 117*T1^3*T2^10 + 2719*T1^4*T2^10 - 
     6472*T1^5*T2^10 + 604*T1^6*T2^10 + 23012*T1^7*T2^10 - 39883*T1^8*T2^10 + 
     17997*T1^9*T2^10 + 28909*T1^10*T2^10 - 36740*T1^11*T2^10 + 
     16172*T1^12*T2^10 + 2936*T1^13*T2^10 - 3977*T1^14*T2^10 + 
     997*T1^15*T2^10 + 502*T1^16*T2^10 + 249*T1^3*T2^11 - 1267*T1^4*T2^11 + 
     243*T1^5*T2^11 + 6056*T1^6*T2^11 - 15302*T1^7*T2^11 + 8513*T1^8*T2^11 + 
     16754*T1^9*T2^11 - 36740*T1^10*T2^11 + 18227*T1^11*T2^11 + 
     4290*T1^12*T2^11 - 11152*T1^13*T2^11 + 3744*T1^14*T2^11 + 
     427*T1^15*T2^11 - 911*T1^16*T2^11 - 21*T1^4*T2^12 + 1285*T1^5*T2^12 - 
     3125*T1^6*T2^12 + 2186*T1^7*T2^12 + 8074*T1^8*T2^12 - 18778*T1^9*T2^12 + 
     16172*T1^10*T2^12 + 4290*T1^11*T2^12 - 12706*T1^12*T2^12 + 
     7522*T1^13*T2^12 + 1015*T1^14*T2^12 - 2411*T1^15*T2^12 + 
     1115*T1^16*T2^12 - 215*T1^5*T2^13 - 147*T1^6*T2^13 + 2010*T1^7*T2^13 - 
     5382*T1^8*T2^13 + 4378*T1^9*T2^13 + 2936*T1^10*T2^13 - 
     11152*T1^11*T2^13 + 7522*T1^12*T2^13 + 362*T1^13*T2^13 - 
     4550*T1^14*T2^13 + 2977*T1^15*T2^13 - 911*T1^16*T2^13 + 246*T1^6*T2^14 - 
     666*T1^7*T2^14 + 580*T1^8*T2^14 + 1466*T1^9*T2^14 - 3977*T1^10*T2^14 + 
     3744*T1^11*T2^14 + 1015*T1^12*T2^14 - 4550*T1^13*T2^14 + 
     4420*T1^14*T2^14 - 2074*T1^15*T2^14 + 502*T1^16*T2^14 - 128*T1^7*T2^15 + 
     540*T1^8*T2^15 - 1128*T1^9*T2^15 + 997*T1^10*T2^15 + 427*T1^11*T2^15 - 
     2411*T1^12*T2^15 + 2977*T1^13*T2^15 - 2074*T1^14*T2^15 + 
     826*T1^15*T2^15 - 172*T1^16*T2^15 + 31*T1^8*T2^16 - 172*T1^9*T2^16 + 
     502*T1^10*T2^16 - 911*T1^11*T2^16 + 1115*T1^12*T2^16 - 911*T1^13*T2^16 + 
     502*T1^14*T2^16 - 172*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1079] -> 
  {-(((1 - T + T^2)*(2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6))/
     T^4), -((-41 + 224*T1 - 629*T1^2 + 1135*T1^3 - 1357*T1^4 + 1135*T1^5 - 
      629*T1^6 + 224*T1^7 - 41*T1^8 + 224*T2 - 1044*T1*T2 + 2453*T1^2*T2 - 
      3442*T1^3*T2 + 2443*T1^4*T2 - 263*T1^5*T2 - 1528*T1^6*T2 + 
      1529*T1^7*T2 - 758*T1^8*T2 + 180*T1^9*T2 - 629*T2^2 + 2453*T1*T2^2 - 
      4651*T1^2*T2^2 + 4388*T1^3*T2^2 + 613*T1^4*T2^2 - 4699*T1^5*T2^2 + 
      5077*T1^6*T2^2 - 1192*T1^7*T2^2 - 1055*T1^8*T2^2 + 1089*T1^9*T2^2 - 
      381*T1^10*T2^2 + 1135*T2^3 - 3442*T1*T2^3 + 4388*T1^2*T2^3 + 
      133*T1^3*T2^3 - 9740*T1^4*T2^3 + 9761*T1^5*T2^3 - 2950*T1^6*T2^3 - 
      6281*T1^7*T2^3 + 5299*T1^8*T2^3 - 1595*T1^9*T2^3 - 428*T1^10*T2^3 + 
      463*T1^11*T2^3 - 1357*T2^4 + 2443*T1*T2^4 + 613*T1^2*T2^4 - 
      9740*T1^3*T2^4 + 17318*T1^4*T2^4 - 2740*T1^5*T2^4 - 11620*T1^6*T2^4 + 
      17492*T1^7*T2^4 - 3282*T1^8*T2^4 - 4028*T1^9*T2^4 + 3677*T1^10*T2^4 - 
      989*T1^11*T2^4 - 285*T1^12*T2^4 + 1135*T2^5 - 263*T1*T2^5 - 
      4699*T1^2*T2^5 + 9761*T1^3*T2^5 - 2740*T1^4*T2^5 - 26987*T1^5*T2^5 + 
      30508*T1^6*T2^5 - 14183*T1^7*T2^5 - 15933*T1^8*T2^5 + 15066*T1^9*T2^5 - 
      4852*T1^10*T2^5 - 1210*T1^11*T2^5 + 1475*T1^12*T2^5 + 15*T1^13*T2^5 - 
      629*T2^6 - 1528*T1*T2^6 + 5077*T1^2*T2^6 - 2950*T1^3*T2^6 - 
      11620*T1^4*T2^6 + 30508*T1^5*T2^6 - 1277*T1^6*T2^6 - 31741*T1^7*T2^6 + 
      48175*T1^8*T2^6 - 17094*T1^9*T2^6 - 4214*T1^10*T2^6 + 6908*T1^11*T2^6 - 
      2187*T1^12*T2^6 - 692*T1^13*T2^6 + 115*T1^14*T2^6 + 224*T2^7 + 
      1529*T1*T2^7 - 1192*T1^2*T2^7 - 6281*T1^3*T2^7 + 17492*T1^4*T2^7 - 
      14183*T1^5*T2^7 - 31741*T1^6*T2^7 + 48489*T1^7*T2^7 - 29519*T1^8*T2^7 - 
      17425*T1^9*T2^7 + 24686*T1^10*T2^7 - 10018*T1^11*T2^7 - 
      728*T1^12*T2^7 + 2373*T1^13*T2^7 - 187*T1^14*T2^7 - 84*T1^15*T2^7 - 
      41*T2^8 - 758*T1*T2^8 - 1055*T1^2*T2^8 + 5299*T1^3*T2^8 - 
      3282*T1^4*T2^8 - 15933*T1^5*T2^8 + 48175*T1^6*T2^8 - 29519*T1^7*T2^8 - 
      13524*T1^8*T2^8 + 43995*T1^9*T2^8 - 23869*T1^10*T2^8 - 
      2459*T1^11*T2^8 + 8378*T1^12*T2^8 - 3727*T1^13*T2^8 - 361*T1^14*T2^8 + 
      342*T1^15*T2^8 + 23*T1^16*T2^8 + 180*T1*T2^9 + 1089*T1^2*T2^9 - 
      1595*T1^3*T2^9 - 4028*T1^4*T2^9 + 15066*T1^5*T2^9 - 17094*T1^6*T2^9 - 
      17425*T1^7*T2^9 + 43995*T1^8*T2^9 - 34013*T1^9*T2^9 - 3109*T1^10*T2^9 + 
      21775*T1^11*T2^9 - 12444*T1^12*T2^9 + 1525*T1^13*T2^9 + 
      1970*T1^14*T2^9 - 627*T1^15*T2^9 - 128*T1^16*T2^9 - 381*T1^2*T2^10 - 
      428*T1^3*T2^10 + 3677*T1^4*T2^10 - 4852*T1^5*T2^10 - 4214*T1^6*T2^10 + 
      24686*T1^7*T2^10 - 23869*T1^8*T2^10 - 3109*T1^9*T2^10 + 
      25583*T1^10*T2^10 - 22916*T1^11*T2^10 + 3192*T1^12*T2^10 + 
      5006*T1^13*T2^10 - 3587*T1^14*T2^10 + 408*T1^15*T2^10 + 
      363*T1^16*T2^10 + 463*T1^3*T2^11 - 989*T1^4*T2^11 - 1210*T1^5*T2^11 + 
      6908*T1^6*T2^11 - 10018*T1^7*T2^11 - 2459*T1^8*T2^11 + 
      21775*T1^9*T2^11 - 22916*T1^10*T2^11 + 8595*T1^11*T2^11 + 
      7788*T1^12*T2^11 - 7705*T1^13*T2^11 + 2279*T1^14*T2^11 + 
      749*T1^15*T2^11 - 657*T1^16*T2^11 - 285*T1^4*T2^12 + 1475*T1^5*T2^12 - 
      2187*T1^6*T2^12 - 728*T1^7*T2^12 + 8378*T1^8*T2^12 - 12444*T1^9*T2^12 + 
      3192*T1^10*T2^12 + 7788*T1^11*T2^12 - 12222*T1^12*T2^12 + 
      4984*T1^13*T2^12 + 877*T1^14*T2^12 - 1957*T1^15*T2^12 + 
      787*T1^16*T2^12 + 15*T1^5*T2^13 - 692*T1^6*T2^13 + 2373*T1^7*T2^13 - 
      3727*T1^8*T2^13 + 1525*T1^9*T2^13 + 5006*T1^10*T2^13 - 
      7705*T1^11*T2^13 + 4984*T1^12*T2^13 + 1439*T1^13*T2^13 - 
      3610*T1^14*T2^13 + 2322*T1^15*T2^13 - 657*T1^16*T2^13 + 
      115*T1^6*T2^14 - 187*T1^7*T2^14 - 361*T1^8*T2^14 + 1970*T1^9*T2^14 - 
      3587*T1^10*T2^14 + 2279*T1^11*T2^14 + 877*T1^12*T2^14 - 
      3610*T1^13*T2^14 + 3235*T1^14*T2^14 - 1551*T1^15*T2^14 + 
      363*T1^16*T2^14 - 84*T1^7*T2^15 + 342*T1^8*T2^15 - 627*T1^9*T2^15 + 
      408*T1^10*T2^15 + 749*T1^11*T2^15 - 1957*T1^12*T2^15 + 
      2322*T1^13*T2^15 - 1551*T1^14*T2^15 + 628*T1^15*T2^15 - 
      128*T1^16*T2^15 + 23*T1^8*T2^16 - 128*T1^9*T2^16 + 363*T1^10*T2^16 - 
      657*T1^11*T2^16 + 787*T1^12*T2^16 - 657*T1^13*T2^16 + 363*T1^14*T2^16 - 
      128*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1080] -> 
  {((1 - T + T^2)*(1 - 7*T + 16*T^2 - 19*T^3 + 16*T^4 - 7*T^5 + T^6))/T^4, 
   (-6 + 48*T1 - 144*T1^2 + 252*T1^3 - 306*T1^4 + 252*T1^5 - 144*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 831*T1^2*T2 - 1054*T1^3*T2 + 
     767*T1^4*T2 + 23*T1^5*T2 - 526*T1^6*T2 + 575*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 144*T2^2 + 831*T1*T2^2 - 998*T1^2*T2^2 - 815*T1^3*T2^2 + 
     3684*T1^4*T2^2 - 6098*T1^5*T2^2 + 4980*T1^6*T2^2 - 2447*T1^7*T2^2 + 
     106*T1^8*T2^2 + 447*T1^9*T2^2 - 96*T1^10*T2^2 + 252*T2^3 - 
     1054*T1*T2^3 - 815*T1^2*T2^3 + 6260*T1^3*T2^3 - 9844*T1^4*T2^3 + 
     9017*T1^5*T2^3 - 523*T1^6*T2^3 - 4606*T1^7*T2^3 + 5534*T1^8*T2^3 - 
     2111*T1^9*T2^3 - 238*T1^10*T2^3 + 126*T1^11*T2^3 - 306*T2^4 + 
     767*T1*T2^4 + 3684*T1^2*T2^4 - 9844*T1^3*T2^4 + 7569*T1^4*T2^4 + 
     731*T1^5*T2^4 - 14283*T1^6*T2^4 + 11939*T1^7*T2^4 - 5079*T1^8*T2^4 - 
     2956*T1^9*T2^4 + 3204*T1^10*T2^4 - 193*T1^11*T2^4 - 102*T1^12*T2^4 + 
     252*T2^5 + 23*T1*T2^5 - 6098*T1^2*T2^5 + 9017*T1^3*T2^5 + 
     731*T1^4*T2^5 - 10682*T1^5*T2^5 + 18148*T1^6*T2^5 - 1532*T1^7*T2^5 - 
     7340*T1^8*T2^5 + 10397*T1^9*T2^5 - 2467*T1^10*T2^5 - 2354*T1^11*T2^5 + 
     479*T1^12*T2^5 + 42*T1^13*T2^5 - 144*T2^6 - 526*T1*T2^6 + 
     4980*T1^2*T2^6 - 523*T1^3*T2^6 - 14283*T1^4*T2^6 + 18148*T1^5*T2^6 - 
     13377*T1^6*T2^6 - 11009*T1^7*T2^6 + 10335*T1^8*T2^6 - 3932*T1^9*T2^6 - 
     7083*T1^10*T2^6 + 6101*T1^11*T2^6 + 132*T1^12*T2^6 - 334*T1^13*T2^6 + 
     48*T2^7 + 575*T1*T2^7 - 2447*T1^2*T2^7 - 4606*T1^3*T2^7 + 
     11939*T1^4*T2^7 - 1532*T1^5*T2^7 - 11009*T1^6*T2^7 + 24820*T1^7*T2^7 - 
     5018*T1^8*T2^7 - 8117*T1^9*T2^7 + 13348*T1^10*T2^7 - 3895*T1^11*T2^7 - 
     3244*T1^12*T2^7 + 865*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 
     6*T2^8 - 272*T1*T2^8 + 106*T1^2*T2^8 + 5534*T1^3*T2^8 - 5079*T1^4*T2^8 - 
     7340*T1^5*T2^8 + 10335*T1^6*T2^8 - 5018*T1^7*T2^8 - 19356*T1^8*T2^8 + 
     20670*T1^9*T2^8 - 10353*T1^10*T2^8 - 3716*T1^11*T2^8 + 6273*T1^12*T2^8 - 
     490*T1^13*T2^8 - 470*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 
     40*T1*T2^9 + 447*T1^2*T2^9 - 2111*T1^3*T2^9 - 2956*T1^4*T2^9 + 
     10397*T1^5*T2^9 - 3932*T1^6*T2^9 - 8117*T1^7*T2^9 + 20670*T1^8*T2^9 - 
     9168*T1^9*T2^9 - 5225*T1^10*T2^9 + 10948*T1^11*T2^9 - 5437*T1^12*T2^9 - 
     1594*T1^13*T2^9 + 1201*T1^14*T2^9 - 65*T1^15*T2^9 - 16*T1^16*T2^9 - 
     96*T1^2*T2^10 - 238*T1^3*T2^10 + 3204*T1^4*T2^10 - 2467*T1^5*T2^10 - 
     7083*T1^6*T2^10 + 13348*T1^7*T2^10 - 10353*T1^8*T2^10 - 
     5225*T1^9*T2^10 + 13359*T1^10*T2^10 - 8732*T1^11*T2^10 + 
     117*T1^12*T2^10 + 4157*T1^13*T2^10 - 1644*T1^14*T2^10 - 46*T1^15*T2^10 + 
     48*T1^16*T2^10 + 126*T1^3*T2^11 - 193*T1^4*T2^11 - 2354*T1^5*T2^11 + 
     6101*T1^6*T2^11 - 3895*T1^7*T2^11 - 3716*T1^8*T2^11 + 10948*T1^9*T2^11 - 
     8732*T1^10*T2^11 - 374*T1^11*T2^11 + 5771*T1^12*T2^11 - 
     5383*T1^13*T2^11 + 1390*T1^14*T2^11 + 263*T1^15*T2^11 - 84*T1^16*T2^11 - 
     102*T1^4*T2^12 + 479*T1^5*T2^12 + 132*T1^6*T2^12 - 3244*T1^7*T2^12 + 
     6273*T1^8*T2^12 - 5437*T1^9*T2^12 + 117*T1^10*T2^12 + 5771*T1^11*T2^12 - 
     6375*T1^12*T2^12 + 3644*T1^13*T2^12 - 348*T1^14*T2^12 - 
     481*T1^15*T2^12 + 102*T1^16*T2^12 + 42*T1^5*T2^13 - 334*T1^6*T2^13 + 
     865*T1^7*T2^13 - 490*T1^8*T2^13 - 1594*T1^9*T2^13 + 4157*T1^10*T2^13 - 
     5383*T1^11*T2^13 + 3644*T1^12*T2^13 - 1216*T1^13*T2^13 - 
     431*T1^14*T2^13 + 482*T1^15*T2^13 - 84*T1^16*T2^13 + 63*T1^7*T2^14 - 
     470*T1^8*T2^14 + 1201*T1^9*T2^14 - 1644*T1^10*T2^14 + 1390*T1^11*T2^14 - 
     348*T1^12*T2^14 - 431*T1^13*T2^14 + 634*T1^14*T2^14 - 321*T1^15*T2^14 + 
     48*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 65*T1^9*T2^15 - 
     46*T1^10*T2^15 + 263*T1^11*T2^15 - 481*T1^12*T2^15 + 482*T1^13*T2^15 - 
     321*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 48*T1^10*T2^16 - 84*T1^11*T2^16 + 102*T1^12*T2^16 - 
     84*T1^13*T2^16 + 48*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1081] -> 
  {(1 - 8*T + 25*T^2 - 46*T^3 + 57*T^4 - 46*T^5 + 25*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 184*T1^3 - 228*T1^4 + 184*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 608*T1^2*T2 - 871*T1^3*T2 + 
     719*T1^4*T2 - 105*T1^5*T2 - 303*T1^6*T2 + 344*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 608*T1*T2^2 - 1015*T1^2*T2^2 + 196*T1^3*T2^2 + 
     1881*T1^4*T2^2 - 4033*T1^5*T2^2 + 3481*T1^6*T2^2 - 1704*T1^7*T2^2 + 
     185*T1^8*T2^2 + 208*T1^9*T2^2 - 50*T1^10*T2^2 + 184*T2^3 - 871*T1*T2^3 + 
     196*T1^2*T2^3 + 3422*T1^3*T2^3 - 7509*T1^4*T2^3 + 8482*T1^5*T2^3 - 
     2320*T1^6*T2^3 - 2279*T1^7*T2^3 + 3308*T1^8*T2^3 - 1454*T1^9*T2^3 + 
     33*T1^10*T2^3 + 46*T1^11*T2^3 - 228*T2^4 + 719*T1*T2^4 + 
     1881*T1^2*T2^4 - 7509*T1^3*T2^4 + 9297*T1^4*T2^4 - 3688*T1^5*T2^4 - 
     9733*T1^6*T2^4 + 11200*T1^7*T2^4 - 5903*T1^8*T2^4 - 333*T1^9*T2^4 + 
     1693*T1^10*T2^4 - 369*T1^11*T2^4 + 184*T2^5 - 105*T1*T2^5 - 
     4033*T1^2*T2^5 + 8482*T1^3*T2^5 - 3688*T1^4*T2^5 - 8226*T1^5*T2^5 + 
     20439*T1^6*T2^5 - 8473*T1^7*T2^5 - 4686*T1^8*T2^5 + 9548*T1^9*T2^5 - 
     4788*T1^10*T2^5 + 11*T1^11*T2^5 + 367*T1^12*T2^5 - 46*T1^13*T2^5 - 
     100*T2^6 - 303*T1*T2^6 + 3481*T1^2*T2^6 - 2320*T1^3*T2^6 - 
     9733*T1^4*T2^6 + 20439*T1^5*T2^6 - 19083*T1^6*T2^6 - 8201*T1^7*T2^6 + 
     19781*T1^8*T2^6 - 12329*T1^9*T2^6 - 495*T1^10*T2^6 + 4780*T1^11*T2^6 - 
     1695*T1^12*T2^6 - 31*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     344*T1*T2^7 - 1704*T1^2*T2^7 - 2279*T1^3*T2^7 + 11200*T1^4*T2^7 - 
     8473*T1^5*T2^7 - 8201*T1^6*T2^7 + 32876*T1^7*T2^7 - 24736*T1^8*T2^7 - 
     689*T1^9*T2^7 + 12727*T1^10*T2^7 - 8644*T1^11*T2^7 + 275*T1^12*T2^7 + 
     1446*T1^13*T2^7 - 208*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 185*T1^2*T2^8 + 3308*T1^3*T2^8 - 5903*T1^4*T2^8 - 
     4686*T1^5*T2^8 + 19781*T1^6*T2^8 - 24736*T1^7*T2^8 + 252*T1^8*T2^8 + 
     24840*T1^9*T2^8 - 18499*T1^10*T2^8 + 3402*T1^11*T2^8 + 5533*T1^12*T2^8 - 
     3228*T1^13*T2^8 - 187*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 208*T1^2*T2^9 - 1454*T1^3*T2^9 - 333*T1^4*T2^9 + 
     9548*T1^5*T2^9 - 12329*T1^6*T2^9 - 689*T1^7*T2^9 + 24840*T1^8*T2^9 - 
     32772*T1^9*T2^9 + 6823*T1^10*T2^9 + 8871*T1^11*T2^9 - 10296*T1^12*T2^9 + 
     2221*T1^13*T2^9 + 1696*T1^14*T2^9 - 344*T1^15*T2^9 - 32*T1^16*T2^9 - 
     50*T1^2*T2^10 + 33*T1^3*T2^10 + 1693*T1^4*T2^10 - 4788*T1^5*T2^10 - 
     495*T1^6*T2^10 + 12727*T1^7*T2^10 - 18499*T1^8*T2^10 + 6823*T1^9*T2^10 + 
     20365*T1^10*T2^10 - 20041*T1^11*T2^10 + 8743*T1^12*T2^10 + 
     2312*T1^13*T2^10 - 3483*T1^14*T2^10 + 305*T1^15*T2^10 + 
     100*T1^16*T2^10 + 46*T1^3*T2^11 - 369*T1^4*T2^11 + 11*T1^5*T2^11 + 
     4780*T1^6*T2^11 - 8644*T1^7*T2^11 + 3402*T1^8*T2^11 + 8871*T1^9*T2^11 - 
     20041*T1^10*T2^11 + 6942*T1^11*T2^11 + 4592*T1^12*T2^11 - 
     8490*T1^13*T2^11 + 4055*T1^14*T2^11 + 103*T1^15*T2^11 - 
     184*T1^16*T2^11 + 367*T1^5*T2^12 - 1695*T1^6*T2^12 + 275*T1^7*T2^12 + 
     5533*T1^8*T2^12 - 10296*T1^9*T2^12 + 8743*T1^10*T2^12 + 
     4592*T1^11*T2^12 - 9667*T1^12*T2^12 + 7451*T1^13*T2^12 - 
     1883*T1^14*T2^12 - 721*T1^15*T2^12 + 228*T1^16*T2^12 - 46*T1^5*T2^13 - 
     31*T1^6*T2^13 + 1446*T1^7*T2^13 - 3228*T1^8*T2^13 + 2221*T1^9*T2^13 + 
     2312*T1^10*T2^13 - 8490*T1^11*T2^13 + 7451*T1^12*T2^13 - 
     3342*T1^13*T2^13 - 204*T1^14*T2^13 + 873*T1^15*T2^13 - 184*T1^16*T2^13 + 
     50*T1^6*T2^14 - 208*T1^7*T2^14 - 187*T1^8*T2^14 + 1696*T1^9*T2^14 - 
     3483*T1^10*T2^14 + 4055*T1^11*T2^14 - 1883*T1^12*T2^14 - 
     204*T1^13*T2^14 + 1013*T1^14*T2^14 - 608*T1^15*T2^14 + 100*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 344*T1^9*T2^15 + 305*T1^10*T2^15 + 
     103*T1^11*T2^15 - 721*T1^12*T2^15 + 873*T1^13*T2^15 - 608*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     100*T1^10*T2^16 - 184*T1^11*T2^16 + 228*T1^12*T2^16 - 184*T1^13*T2^16 + 
     100*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1082] -> 
  {(1 - 8*T + 23*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 23*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 138*T1^2 + 228*T1^3 - 270*T1^4 + 228*T1^5 - 138*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 783*T1^2*T2 - 902*T1^3*T2 + 
     639*T1^4*T2 - 25*T1^5*T2 - 414*T1^6*T2 + 535*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 138*T2^2 + 783*T1*T2^2 - 713*T1^2*T2^2 - 1333*T1^3*T2^2 + 
     3740*T1^4*T2^2 - 5541*T1^5*T2^2 + 4752*T1^6*T2^2 - 2713*T1^7*T2^2 + 
     299*T1^8*T2^2 + 415*T1^9*T2^2 - 92*T1^10*T2^2 + 228*T2^3 - 902*T1*T2^3 - 
     1333*T1^2*T2^3 + 6584*T1^3*T2^3 - 8576*T1^4*T2^3 + 7324*T1^5*T2^3 - 
     994*T1^6*T2^3 - 3394*T1^7*T2^3 + 5326*T1^8*T2^3 - 2299*T1^9*T2^3 - 
     174*T1^10*T2^3 + 114*T1^11*T2^3 - 270*T2^4 + 639*T1*T2^4 + 
     3740*T1^2*T2^4 - 8576*T1^3*T2^4 + 4156*T1^4*T2^4 + 2383*T1^5*T2^4 - 
     11422*T1^6*T2^4 + 10359*T1^7*T2^4 - 6164*T1^8*T2^4 - 2040*T1^9*T2^4 + 
     3016*T1^10*T2^4 - 193*T1^11*T2^4 - 90*T1^12*T2^4 + 228*T2^5 - 
     25*T1*T2^5 - 5541*T1^2*T2^5 + 7324*T1^3*T2^5 + 2383*T1^4*T2^5 - 
     7338*T1^5*T2^5 + 11125*T1^6*T2^5 - 1427*T1^7*T2^5 - 3854*T1^8*T2^5 + 
     8859*T1^9*T2^5 - 2430*T1^10*T2^5 - 2145*T1^11*T2^5 + 415*T1^12*T2^5 + 
     38*T1^13*T2^5 - 138*T2^6 - 414*T1*T2^6 + 4752*T1^2*T2^6 - 
     994*T1^3*T2^6 - 11422*T1^4*T2^6 + 11125*T1^5*T2^6 - 9203*T1^6*T2^6 - 
     3043*T1^7*T2^6 + 2893*T1^8*T2^6 - 2715*T1^9*T2^6 - 5880*T1^10*T2^6 + 
     5170*T1^11*T2^6 + 268*T1^12*T2^6 - 302*T1^13*T2^6 + 48*T2^7 + 
     535*T1*T2^7 - 2713*T1^2*T2^7 - 3394*T1^3*T2^7 + 10359*T1^4*T2^7 - 
     1427*T1^5*T2^7 - 3043*T1^6*T2^7 + 9338*T1^7*T2^7 - 666*T1^8*T2^7 - 
     3107*T1^9*T2^7 + 8549*T1^10*T2^7 - 2117*T1^11*T2^7 - 3160*T1^12*T2^7 + 
     737*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     299*T1^2*T2^8 + 5326*T1^3*T2^8 - 6164*T1^4*T2^8 - 3854*T1^5*T2^8 + 
     2893*T1^6*T2^8 - 666*T1^7*T2^8 - 8856*T1^8*T2^8 + 7774*T1^9*T2^8 - 
     5051*T1^10*T2^8 - 3750*T1^11*T2^8 + 5168*T1^12*T2^8 - 186*T1^13*T2^8 - 
     473*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     415*T1^2*T2^9 - 2299*T1^3*T2^9 - 2040*T1^4*T2^9 + 8859*T1^5*T2^9 - 
     2715*T1^6*T2^9 - 3107*T1^7*T2^9 + 7774*T1^8*T2^9 - 2230*T1^9*T2^9 - 
     3171*T1^10*T2^9 + 7261*T1^11*T2^9 - 3617*T1^12*T2^9 - 1806*T1^13*T2^9 + 
     1151*T1^14*T2^9 - 57*T1^15*T2^9 - 16*T1^16*T2^9 - 92*T1^2*T2^10 - 
     174*T1^3*T2^10 + 3016*T1^4*T2^10 - 2430*T1^5*T2^10 - 5880*T1^6*T2^10 + 
     8549*T1^7*T2^10 - 5051*T1^8*T2^10 - 3171*T1^9*T2^10 + 7045*T1^10*T2^10 - 
     5291*T1^11*T2^10 - 338*T1^12*T2^10 + 3734*T1^13*T2^10 - 
     1468*T1^14*T2^10 - 62*T1^15*T2^10 + 46*T1^16*T2^10 + 114*T1^3*T2^11 - 
     193*T1^4*T2^11 - 2145*T1^5*T2^11 + 5170*T1^6*T2^11 - 2117*T1^7*T2^11 - 
     3750*T1^8*T2^11 + 7261*T1^9*T2^11 - 5291*T1^10*T2^11 - 266*T1^11*T2^11 + 
     4359*T1^12*T2^11 - 4584*T1^13*T2^11 + 1251*T1^14*T2^11 + 
     247*T1^15*T2^11 - 76*T1^16*T2^11 - 90*T1^4*T2^12 + 415*T1^5*T2^12 + 
     268*T1^6*T2^12 - 3160*T1^7*T2^12 + 5168*T1^8*T2^12 - 3617*T1^9*T2^12 - 
     338*T1^10*T2^12 + 4359*T1^11*T2^12 - 5152*T1^12*T2^12 + 
     3376*T1^13*T2^12 - 456*T1^14*T2^12 - 417*T1^15*T2^12 + 90*T1^16*T2^12 + 
     38*T1^5*T2^13 - 302*T1^6*T2^13 + 737*T1^7*T2^13 - 186*T1^8*T2^13 - 
     1806*T1^9*T2^13 + 3734*T1^10*T2^13 - 4584*T1^11*T2^13 + 
     3376*T1^12*T2^13 - 1444*T1^13*T2^13 - 229*T1^14*T2^13 + 
     426*T1^15*T2^13 - 76*T1^16*T2^13 + 63*T1^7*T2^14 - 473*T1^8*T2^14 + 
     1151*T1^9*T2^14 - 1468*T1^10*T2^14 + 1251*T1^11*T2^14 - 
     456*T1^12*T2^14 - 229*T1^13*T2^14 + 539*T1^14*T2^14 - 305*T1^15*T2^14 + 
     46*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 57*T1^9*T2^15 - 
     62*T1^10*T2^15 + 247*T1^11*T2^15 - 417*T1^12*T2^15 + 426*T1^13*T2^15 - 
     305*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 46*T1^10*T2^16 - 76*T1^11*T2^16 + 90*T1^12*T2^16 - 
     76*T1^13*T2^16 + 46*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1083] -> 
  {((2 - 3*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-33 + 148*T1 - 345*T1^2 + 542*T1^3 - 641*T1^4 + 542*T1^5 - 345*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 1262*T1^3*T2 + 
     1038*T1^4*T2 - 258*T1^5*T2 - 290*T1^6*T2 + 506*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1541*T1^2*T2^2 + 
     1234*T1^3*T2^2 - 350*T1^4*T2^2 - 1127*T1^5*T2^2 + 1162*T1^6*T2^2 - 
     782*T1^7*T2^2 + 55*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     542*T2^3 - 1262*T1*T2^3 + 1234*T1^2*T2^3 - 119*T1^3*T2^3 - 
     987*T1^4*T2^3 + 2312*T1^5*T2^3 - 604*T1^6*T2^3 - 285*T1^7*T2^3 + 
     1141*T1^8*T2^3 - 845*T1^9*T2^3 + 142*T1^10*T2^3 + 146*T1^11*T2^3 - 
     641*T2^4 + 1038*T1*T2^4 - 350*T1^2*T2^4 - 987*T1^3*T2^4 + 
     1201*T1^4*T2^4 - 1557*T1^5*T2^4 - 1853*T1^6*T2^4 + 1647*T1^7*T2^4 - 
     1511*T1^8*T2^4 + 3*T1^9*T2^4 + 856*T1^10*T2^4 - 582*T1^11*T2^4 - 
     17*T1^12*T2^4 + 542*T2^5 - 258*T1*T2^5 - 1127*T1^2*T2^5 + 
     2312*T1^3*T2^5 - 1557*T1^4*T2^5 + 1332*T1^5*T2^5 + 2583*T1^6*T2^5 - 
     351*T1^7*T2^5 - 240*T1^8*T2^5 + 1638*T1^9*T2^5 - 1288*T1^10*T2^5 + 
     34*T1^11*T2^5 + 606*T1^12*T2^5 - 118*T1^13*T2^5 - 345*T2^6 - 
     290*T1*T2^6 + 1162*T1^2*T2^6 - 604*T1^3*T2^6 - 1853*T1^4*T2^6 + 
     2583*T1^5*T2^6 - 5393*T1^6*T2^6 + 555*T1^7*T2^6 + 367*T1^8*T2^6 - 
     1089*T1^9*T2^6 - 107*T1^10*T2^6 + 1286*T1^11*T2^6 - 962*T1^12*T2^6 - 
     182*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     782*T1^2*T2^7 - 285*T1^3*T2^7 + 1647*T1^4*T2^7 - 351*T1^5*T2^7 + 
     555*T1^6*T2^7 + 4473*T1^7*T2^7 - 2889*T1^8*T2^7 + 690*T1^9*T2^7 + 
     1107*T1^10*T2^7 - 1584*T1^11*T2^7 + 165*T1^12*T2^7 + 919*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 55*T1^2*T2^8 + 
     1141*T1^3*T2^8 - 1511*T1^4*T2^8 - 240*T1^5*T2^8 + 367*T1^6*T2^8 - 
     2889*T1^7*T2^8 - 408*T1^8*T2^8 + 2925*T1^9*T2^8 - 2003*T1^10*T2^8 + 
     828*T1^11*T2^8 + 1141*T1^12*T2^8 - 1229*T1^13*T2^8 - 119*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     845*T1^3*T2^9 + 3*T1^4*T2^9 + 1638*T1^5*T2^9 - 1089*T1^6*T2^9 + 
     690*T1^7*T2^9 + 2925*T1^8*T2^9 - 4437*T1^9*T2^9 + 825*T1^10*T2^9 + 
     369*T1^11*T2^9 - 1593*T1^12*T2^9 + 453*T1^13*T2^9 + 856*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 142*T1^3*T2^10 + 
     856*T1^4*T2^10 - 1288*T1^5*T2^10 - 107*T1^6*T2^10 + 1107*T1^7*T2^10 - 
     2003*T1^8*T2^10 + 825*T1^9*T2^10 + 3757*T1^10*T2^10 - 2565*T1^11*T2^10 + 
     1639*T1^12*T2^10 + 602*T1^13*T2^10 - 1268*T1^14*T2^10 + 
     250*T1^15*T2^10 + 327*T1^16*T2^10 + 146*T1^3*T2^11 - 582*T1^4*T2^11 + 
     34*T1^5*T2^11 + 1286*T1^6*T2^11 - 1584*T1^7*T2^11 + 828*T1^8*T2^11 + 
     369*T1^9*T2^11 - 2565*T1^10*T2^11 - 744*T1^11*T2^11 + 1611*T1^12*T2^11 - 
     2314*T1^13*T2^11 + 1195*T1^14*T2^11 + 282*T1^15*T2^11 - 
     514*T1^16*T2^11 - 17*T1^4*T2^12 + 606*T1^5*T2^12 - 962*T1^6*T2^12 + 
     165*T1^7*T2^12 + 1141*T1^8*T2^12 - 1593*T1^9*T2^12 + 1639*T1^10*T2^12 + 
     1611*T1^11*T2^12 - 1571*T1^12*T2^12 + 1155*T1^13*T2^12 + 
     244*T1^14*T2^12 - 1014*T1^15*T2^12 + 607*T1^16*T2^12 - 118*T1^5*T2^13 - 
     182*T1^6*T2^13 + 919*T1^7*T2^13 - 1229*T1^8*T2^13 + 453*T1^9*T2^13 + 
     602*T1^10*T2^13 - 2314*T1^11*T2^13 + 1155*T1^12*T2^13 + 31*T1^13*T2^13 - 
     1160*T1^14*T2^13 + 1222*T1^15*T2^13 - 514*T1^16*T2^13 + 159*T1^6*T2^14 - 
     250*T1^7*T2^14 - 119*T1^8*T2^14 + 856*T1^9*T2^14 - 1268*T1^10*T2^14 + 
     1195*T1^11*T2^14 + 244*T1^12*T2^14 - 1160*T1^13*T2^14 + 
     1477*T1^14*T2^14 - 1006*T1^15*T2^14 + 327*T1^16*T2^14 - 104*T1^7*T2^15 + 
     330*T1^8*T2^15 - 466*T1^9*T2^15 + 250*T1^10*T2^15 + 282*T1^11*T2^15 - 
     1014*T1^12*T2^15 + 1222*T1^13*T2^15 - 1006*T1^14*T2^15 + 
     528*T1^15*T2^15 - 140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 
     327*T1^10*T2^16 - 514*T1^11*T2^16 + 607*T1^12*T2^16 - 514*T1^13*T2^16 + 
     327*T1^14*T2^16 - 140*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1084] -> 
  {(1 - 8*T + 20*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 20*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 120*T1^2 + 168*T1^3 - 186*T1^4 + 168*T1^5 - 120*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 639*T1^2*T2 - 542*T1^3*T2 + 
     367*T1^4*T2 - 105*T1^5*T2 - 158*T1^6*T2 + 415*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 120*T2^2 + 639*T1*T2^2 + 78*T1^2*T2^2 - 2377*T1^3*T2^2 + 
     3595*T1^4*T2^2 - 4264*T1^5*T2^2 + 4035*T1^6*T2^2 - 3177*T1^7*T2^2 + 
     838*T1^8*T2^2 + 319*T1^9*T2^2 - 80*T1^10*T2^2 + 168*T2^3 - 542*T1*T2^3 - 
     2377*T1^2*T2^3 + 6212*T1^3*T2^3 - 5061*T1^4*T2^3 + 3844*T1^5*T2^3 - 
     1564*T1^6*T2^3 - 657*T1^7*T2^3 + 4168*T1^8*T2^3 - 2617*T1^9*T2^3 - 
     30*T1^10*T2^3 + 84*T1^11*T2^3 - 186*T2^4 + 367*T1*T2^4 + 
     3595*T1^2*T2^4 - 5061*T1^3*T2^4 - 1153*T1^4*T2^4 + 2923*T1^5*T2^4 - 
     5031*T1^6*T2^4 + 5371*T1^7*T2^4 - 6393*T1^8*T2^4 - 21*T1^9*T2^4 + 
     2491*T1^10*T2^4 - 177*T1^11*T2^4 - 62*T1^12*T2^4 + 168*T2^5 - 
     105*T1*T2^5 - 4264*T1^2*T2^5 + 3844*T1^3*T2^5 + 2923*T1^4*T2^5 - 
     788*T1^5*T2^5 + 1144*T1^6*T2^5 - 104*T1^7*T2^5 + 1136*T1^8*T2^5 + 
     4479*T1^9*T2^5 - 2076*T1^10*T2^5 - 1672*T1^11*T2^5 + 271*T1^12*T2^5 + 
     28*T1^13*T2^5 - 120*T2^6 - 158*T1*T2^6 + 4035*T1^2*T2^6 - 
     1564*T1^3*T2^6 - 5031*T1^4*T2^6 + 1144*T1^5*T2^6 - 2616*T1^6*T2^6 + 
     2746*T1^7*T2^6 - 4616*T1^8*T2^6 - 136*T1^9*T2^6 - 2839*T1^10*T2^6 + 
     3076*T1^11*T2^6 + 507*T1^12*T2^6 - 222*T1^13*T2^6 + 48*T2^7 + 
     415*T1*T2^7 - 3177*T1^2*T2^7 - 657*T1^3*T2^7 + 5371*T1^4*T2^7 - 
     104*T1^5*T2^7 + 2746*T1^6*T2^7 - 3536*T1^7*T2^7 + 3996*T1^8*T2^7 + 
     970*T1^9*T2^7 + 1080*T1^10*T2^7 + 247*T1^11*T2^7 - 2517*T1^12*T2^7 + 
     423*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     838*T1^2*T2^8 + 4168*T1^3*T2^8 - 6393*T1^4*T2^8 + 1136*T1^5*T2^8 - 
     4616*T1^6*T2^8 + 3996*T1^7*T2^8 - 1008*T1^8*T2^8 - 3524*T1^9*T2^8 + 
     1432*T1^10*T2^8 - 2192*T1^11*T2^8 + 2559*T1^12*T2^8 + 392*T1^13*T2^8 - 
     474*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     319*T1^2*T2^9 - 2617*T1^3*T2^9 - 21*T1^4*T2^9 + 4479*T1^5*T2^9 - 
     136*T1^6*T2^9 + 970*T1^7*T2^9 - 3524*T1^8*T2^9 + 4008*T1^9*T2^9 - 
     806*T1^10*T2^9 + 1048*T1^11*T2^9 - 645*T1^12*T2^9 - 1881*T1^13*T2^9 + 
     983*T1^14*T2^9 - 33*T1^15*T2^9 - 16*T1^16*T2^9 - 80*T1^2*T2^10 - 
     30*T1^3*T2^10 + 2491*T1^4*T2^10 - 2076*T1^5*T2^10 - 2839*T1^6*T2^10 + 
     1080*T1^7*T2^10 + 1432*T1^8*T2^10 - 806*T1^9*T2^10 - 568*T1^10*T2^10 - 
     200*T1^11*T2^10 - 647*T1^12*T2^10 + 2564*T1^13*T2^10 - 
     1037*T1^14*T2^10 - 94*T1^15*T2^10 + 40*T1^16*T2^10 + 84*T1^3*T2^11 - 
     177*T1^4*T2^11 - 1672*T1^5*T2^11 + 3076*T1^6*T2^11 + 247*T1^7*T2^11 - 
     2192*T1^8*T2^11 + 1048*T1^9*T2^11 - 200*T1^10*T2^11 - 268*T1^11*T2^11 + 
     1803*T1^12*T2^11 - 2844*T1^13*T2^11 + 920*T1^14*T2^11 + 
     199*T1^15*T2^11 - 56*T1^16*T2^11 - 62*T1^4*T2^12 + 271*T1^5*T2^12 + 
     507*T1^6*T2^12 - 2517*T1^7*T2^12 + 2559*T1^8*T2^12 - 645*T1^9*T2^12 - 
     647*T1^10*T2^12 + 1803*T1^11*T2^12 - 2681*T1^12*T2^12 + 
     2523*T1^13*T2^12 - 597*T1^14*T2^12 - 273*T1^15*T2^12 + 62*T1^16*T2^12 + 
     28*T1^5*T2^13 - 222*T1^6*T2^13 + 423*T1^7*T2^13 + 392*T1^8*T2^13 - 
     1881*T1^9*T2^13 + 2564*T1^10*T2^13 - 2844*T1^11*T2^13 + 
     2523*T1^12*T2^13 - 1652*T1^13*T2^13 + 183*T1^14*T2^13 + 
     290*T1^15*T2^13 - 56*T1^16*T2^13 + 63*T1^7*T2^14 - 474*T1^8*T2^14 + 
     983*T1^9*T2^14 - 1037*T1^10*T2^14 + 920*T1^11*T2^14 - 597*T1^12*T2^14 + 
     183*T1^13*T2^14 + 286*T1^14*T2^14 - 257*T1^15*T2^14 + 40*T1^16*T2^14 - 
     8*T1^7*T2^15 + 48*T1^8*T2^15 - 33*T1^9*T2^15 - 94*T1^10*T2^15 + 
     199*T1^11*T2^15 - 273*T1^12*T2^15 + 290*T1^13*T2^15 - 257*T1^14*T2^15 + 
     120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 
     40*T1^10*T2^16 - 56*T1^11*T2^16 + 62*T1^12*T2^16 - 56*T1^13*T2^16 + 
     40*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1085] -> 
  {(2 - 17*T + 45*T^2 - 59*T^3 + 45*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (-33 + 280*T1 - 740*T1^2 + 969*T1^3 - 740*T1^4 + 280*T1^5 - 33*T1^6 + 
     280*T2 - 2164*T1*T2 + 4478*T1^2*T2 - 3470*T1^3*T2 + 66*T1^4*T2 + 
     2370*T1^5*T2 - 1518*T1^6*T2 + 212*T1^7*T2 - 740*T2^2 + 4478*T1*T2^2 - 
     1775*T1^2*T2^2 - 15058*T1^3*T2^2 + 27217*T1^4*T2^2 - 22618*T1^5*T2^2 + 
     5965*T1^6*T2^2 + 1418*T1^7*T2^2 - 380*T1^8*T2^2 + 969*T2^3 - 
     3470*T1*T2^3 - 15058*T1^2*T2^3 + 50157*T1^3*T2^3 - 47378*T1^4*T2^3 + 
     10234*T1^5*T2^3 + 24321*T1^6*T2^3 - 16453*T1^7*T2^3 + 1018*T1^8*T2^3 + 
     261*T1^9*T2^3 - 740*T2^4 + 66*T1*T2^4 + 27217*T1^2*T2^4 - 
     47378*T1^3*T2^4 - 4731*T1^4*T2^4 + 65675*T1^5*T2^4 - 73503*T1^6*T2^4 + 
     17640*T1^7*T2^4 + 9315*T1^8*T2^4 - 2042*T1^9*T2^4 - 20*T1^10*T2^4 + 
     280*T2^5 + 2370*T1*T2^5 - 22618*T1^2*T2^5 + 10234*T1^3*T2^5 + 
     65675*T1^4*T2^5 - 93936*T1^5*T2^5 + 43124*T1^6*T2^5 + 33410*T1^7*T2^5 - 
     32566*T1^8*T2^5 + 3437*T1^9*T2^5 + 670*T1^10*T2^5 - 60*T1^11*T2^5 - 
     33*T2^6 - 1518*T1*T2^6 + 5965*T1^2*T2^6 + 24321*T1^3*T2^6 - 
     73503*T1^4*T2^6 + 43124*T1^5*T2^6 + 36324*T1^6*T2^6 - 77676*T1^7*T2^6 + 
     33523*T1^8*T2^6 + 6075*T1^9*T2^6 - 4507*T1^10*T2^6 + 386*T1^11*T2^6 + 
     15*T1^12*T2^6 + 212*T1*T2^7 + 1418*T1^2*T2^7 - 16453*T1^3*T2^7 + 
     17640*T1^4*T2^7 + 33410*T1^5*T2^7 - 77676*T1^6*T2^7 + 59384*T1^7*T2^7 + 
     1145*T1^8*T2^7 - 25160*T1^9*T2^7 + 9602*T1^10*T2^7 - 282*T1^11*T2^7 - 
     128*T1^12*T2^7 - 380*T1^2*T2^8 + 1018*T1^3*T2^8 + 9315*T1^4*T2^8 - 
     32566*T1^5*T2^8 + 33523*T1^6*T2^8 + 1145*T1^7*T2^8 - 35249*T1^8*T2^8 + 
     32452*T1^9*T2^8 - 8587*T1^10*T2^8 - 1090*T1^11*T2^8 + 340*T1^12*T2^8 + 
     261*T1^3*T2^9 - 2042*T1^4*T2^9 + 3437*T1^5*T2^9 + 6075*T1^6*T2^9 - 
     25160*T1^7*T2^9 + 32452*T1^8*T2^9 - 19761*T1^9*T2^9 + 2042*T1^10*T2^9 + 
     2446*T1^11*T2^9 - 447*T1^12*T2^9 - 20*T1^4*T2^10 + 670*T1^5*T2^10 - 
     4507*T1^6*T2^10 + 9602*T1^7*T2^10 - 8587*T1^8*T2^10 + 2042*T1^9*T2^10 + 
     3233*T1^10*T2^10 - 2390*T1^11*T2^10 + 340*T1^12*T2^10 - 60*T1^5*T2^11 + 
     386*T1^6*T2^11 - 282*T1^7*T2^11 - 1090*T1^8*T2^11 + 2446*T1^9*T2^11 - 
     2390*T1^10*T2^11 + 1032*T1^11*T2^11 - 128*T1^12*T2^11 + 15*T1^6*T2^12 - 
     128*T1^7*T2^12 + 340*T1^8*T2^12 - 447*T1^9*T2^12 + 340*T1^10*T2^12 - 
     128*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1086] -> 
  {(4 - 20*T + 46*T^2 - 59*T^3 + 46*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (-128 + 648*T1 - 1508*T1^2 + 1944*T1^3 - 1508*T1^4 + 648*T1^5 - 128*T1^6 + 
     648*T2 - 2944*T1*T2 + 5932*T1^2*T2 - 5872*T1^3*T2 + 2528*T1^4*T2 + 
     652*T1^5*T2 - 1024*T1^6*T2 + 328*T1^7*T2 - 1508*T2^2 + 5932*T1*T2^2 - 
     9274*T1^2*T2^2 + 3328*T1^3*T2^2 + 6960*T1^4*T2^2 - 11024*T1^5*T2^2 + 
     6182*T1^6*T2^2 - 1428*T1^7*T2^2 - 36*T1^8*T2^2 + 1944*T2^3 - 
     5872*T1*T2^3 + 3328*T1^2*T2^3 + 14376*T1^3*T2^3 - 28402*T1^4*T2^3 + 
     21470*T1^5*T2^3 - 1740*T1^6*T2^3 - 7160*T1^7*T2^3 + 4608*T1^8*T2^3 - 
     888*T1^9*T2^3 - 1508*T2^4 + 2528*T1*T2^4 + 6960*T1^2*T2^4 - 
     28402*T1^3*T2^4 + 28651*T1^4*T2^4 + 3207*T1^5*T2^4 - 32477*T1^6*T2^4 + 
     27294*T1^7*T2^4 - 6384*T1^8*T2^4 - 2752*T1^9*T2^4 + 1436*T1^10*T2^4 + 
     648*T2^5 + 652*T1*T2^5 - 11024*T1^2*T2^5 + 21470*T1^3*T2^5 + 
     3207*T1^4*T2^5 - 51424*T1^5*T2^5 + 60986*T1^6*T2^5 - 20437*T1^7*T2^5 - 
     16754*T1^8*T2^5 + 14920*T1^9*T2^5 - 2388*T1^10*T2^5 - 952*T1^11*T2^5 - 
     128*T2^6 - 1024*T1*T2^6 + 6182*T1^2*T2^6 - 1740*T1^3*T2^6 - 
     32477*T1^4*T2^6 + 60986*T1^5*T2^6 - 23724*T1^6*T2^6 - 38782*T1^7*T2^6 + 
     55283*T1^8*T2^6 - 18444*T1^9*T2^6 - 4474*T1^10*T2^6 + 3456*T1^11*T2^6 + 
     256*T1^12*T2^6 + 328*T1*T2^7 - 1428*T1^2*T2^7 - 7160*T1^3*T2^7 + 
     27294*T1^4*T2^7 - 20437*T1^5*T2^7 - 38782*T1^6*T2^7 + 73628*T1^7*T2^7 - 
     44081*T1^8*T2^7 - 10930*T1^9*T2^7 + 18784*T1^10*T2^7 - 4468*T1^11*T2^7 - 
     1272*T1^12*T2^7 - 36*T1^2*T2^8 + 4608*T1^3*T2^8 - 6384*T1^4*T2^8 - 
     16754*T1^5*T2^8 + 55283*T1^6*T2^8 - 44081*T1^7*T2^8 - 5845*T1^8*T2^8 + 
     38942*T1^9*T2^8 - 19728*T1^10*T2^8 - 672*T1^11*T2^8 + 2908*T1^12*T2^8 - 
     888*T1^3*T2^9 - 2752*T1^4*T2^9 + 14920*T1^5*T2^9 - 18444*T1^6*T2^9 - 
     10930*T1^7*T2^9 + 38942*T1^8*T2^9 - 34560*T1^9*T2^9 + 4432*T1^10*T2^9 + 
     7728*T1^11*T2^9 - 3720*T1^12*T2^9 + 1436*T1^4*T2^10 - 2388*T1^5*T2^10 - 
     4474*T1^6*T2^10 + 18784*T1^7*T2^10 - 19728*T1^8*T2^10 + 
     4432*T1^9*T2^10 + 10982*T1^10*T2^10 - 9748*T1^11*T2^10 + 
     2908*T1^12*T2^10 - 952*T1^5*T2^11 + 3456*T1^6*T2^11 - 4468*T1^7*T2^11 - 
     672*T1^8*T2^11 + 7728*T1^9*T2^11 - 9748*T1^10*T2^11 + 5376*T1^11*T2^11 - 
     1272*T1^12*T2^11 + 256*T1^6*T2^12 - 1272*T1^7*T2^12 + 2908*T1^8*T2^12 - 
     3720*T1^9*T2^12 + 2908*T1^10*T2^12 - 1272*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1087] -> 
  {((1 - 3*T + 5*T^2 - 5*T^3 + T^4)*(1 - 5*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 32*T1 - 100*T1^2 + 192*T1^3 - 244*T1^4 + 192*T1^5 - 100*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 608*T1^2*T2 - 935*T1^3*T2 + 
     799*T1^4*T2 - 73*T1^5*T2 - 351*T1^6*T2 + 344*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 100*T2^2 + 608*T1*T2^2 - 1015*T1^2*T2^2 + 400*T1^3*T2^2 + 
     1857*T1^4*T2^2 - 4493*T1^5*T2^2 + 3657*T1^6*T2^2 - 1600*T1^7*T2^2 + 
     185*T1^8*T2^2 + 208*T1^9*T2^2 - 50*T1^10*T2^2 + 192*T2^3 - 935*T1*T2^3 + 
     400*T1^2*T2^3 + 2642*T1^3*T2^3 - 7473*T1^4*T2^3 + 9378*T1^5*T2^3 - 
     1910*T1^6*T2^3 - 2809*T1^7*T2^3 + 3098*T1^8*T2^3 - 1400*T1^9*T2^3 + 
     17*T1^10*T2^3 + 48*T1^11*T2^3 - 244*T2^4 + 799*T1*T2^4 + 
     1857*T1^2*T2^4 - 7473*T1^3*T2^4 + 12155*T1^4*T2^4 - 7916*T1^5*T2^4 - 
     8953*T1^6*T2^4 + 9972*T1^7*T2^4 - 3925*T1^8*T2^4 - 753*T1^9*T2^4 + 
     1813*T1^10*T2^4 - 385*T1^11*T2^4 + 192*T2^5 - 73*T1*T2^5 - 
     4493*T1^2*T2^5 + 9378*T1^3*T2^5 - 7916*T1^4*T2^5 - 5704*T1^5*T2^5 + 
     24009*T1^6*T2^5 - 7839*T1^7*T2^5 - 7360*T1^8*T2^5 + 9580*T1^9*T2^5 - 
     4902*T1^10*T2^5 + 19*T1^11*T2^5 + 383*T1^12*T2^5 - 48*T1^13*T2^5 - 
     100*T2^6 - 351*T1*T2^6 + 3657*T1^2*T2^6 - 1910*T1^3*T2^6 - 
     8953*T1^4*T2^6 + 24009*T1^5*T2^6 - 24970*T1^6*T2^6 - 14222*T1^7*T2^6 + 
     26990*T1^8*T2^6 - 13031*T1^9*T2^6 - 331*T1^10*T2^6 + 4890*T1^11*T2^6 - 
     1831*T1^12*T2^6 - 15*T1^13*T2^6 + 50*T1^14*T2^6 + 32*T2^7 + 
     344*T1*T2^7 - 1600*T1^2*T2^7 - 2809*T1^3*T2^7 + 9972*T1^4*T2^7 - 
     7839*T1^5*T2^7 - 14222*T1^6*T2^7 + 51978*T1^7*T2^7 - 36870*T1^8*T2^7 - 
     1278*T1^9*T2^7 + 13625*T1^10*T2^7 - 9092*T1^11*T2^7 + 751*T1^12*T2^7 + 
     1400*T1^13*T2^7 - 208*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 185*T1^2*T2^8 + 3098*T1^3*T2^8 - 3925*T1^4*T2^8 - 
     7360*T1^5*T2^8 + 26990*T1^6*T2^8 - 36870*T1^7*T2^8 - 1260*T1^8*T2^8 + 
     38170*T1^9*T2^8 - 25562*T1^10*T2^8 + 6272*T1^11*T2^8 + 3767*T1^12*T2^8 - 
     3078*T1^13*T2^8 - 187*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 208*T1^2*T2^9 - 1400*T1^3*T2^9 - 753*T1^4*T2^9 + 
     9580*T1^5*T2^9 - 13031*T1^6*T2^9 - 1278*T1^7*T2^9 + 38170*T1^8*T2^9 - 
     50678*T1^9*T2^9 + 11666*T1^10*T2^9 + 8433*T1^11*T2^9 - 9484*T1^12*T2^9 + 
     2807*T1^13*T2^9 + 1600*T1^14*T2^9 - 344*T1^15*T2^9 - 32*T1^16*T2^9 - 
     50*T1^2*T2^10 + 17*T1^3*T2^10 + 1813*T1^4*T2^10 - 4902*T1^5*T2^10 - 
     331*T1^6*T2^10 + 13625*T1^7*T2^10 - 25562*T1^8*T2^10 + 
     11666*T1^9*T2^10 + 26398*T1^10*T2^10 - 23415*T1^11*T2^10 + 
     8291*T1^12*T2^10 + 1898*T1^13*T2^10 - 3675*T1^14*T2^10 + 
     353*T1^15*T2^10 + 100*T1^16*T2^10 + 48*T1^3*T2^11 - 385*T1^4*T2^11 + 
     19*T1^5*T2^11 + 4890*T1^6*T2^11 - 9092*T1^7*T2^11 + 6272*T1^8*T2^11 + 
     8433*T1^9*T2^11 - 23415*T1^10*T2^11 + 4616*T1^11*T2^11 + 
     8404*T1^12*T2^11 - 9390*T1^13*T2^11 + 4531*T1^14*T2^11 + 
     71*T1^15*T2^11 - 192*T1^16*T2^11 + 383*T1^5*T2^12 - 1831*T1^6*T2^12 + 
     751*T1^7*T2^12 + 3767*T1^8*T2^12 - 9484*T1^9*T2^12 + 8291*T1^10*T2^12 + 
     8404*T1^11*T2^12 - 12313*T1^12*T2^12 + 7471*T1^13*T2^12 - 
     1875*T1^14*T2^12 - 801*T1^15*T2^12 + 244*T1^16*T2^12 - 48*T1^5*T2^13 - 
     15*T1^6*T2^13 + 1400*T1^7*T2^13 - 3078*T1^8*T2^13 + 2807*T1^9*T2^13 + 
     1898*T1^10*T2^13 - 9390*T1^11*T2^13 + 7471*T1^12*T2^13 - 
     2622*T1^13*T2^13 - 400*T1^14*T2^13 + 937*T1^15*T2^13 - 192*T1^16*T2^13 + 
     50*T1^6*T2^14 - 208*T1^7*T2^14 - 187*T1^8*T2^14 + 1600*T1^9*T2^14 - 
     3675*T1^10*T2^14 + 4531*T1^11*T2^14 - 1875*T1^12*T2^14 - 
     400*T1^13*T2^14 + 1013*T1^14*T2^14 - 608*T1^15*T2^14 + 100*T1^16*T2^14 - 
     24*T1^7*T2^15 + 160*T1^8*T2^15 - 344*T1^9*T2^15 + 353*T1^10*T2^15 + 
     71*T1^11*T2^15 - 801*T1^12*T2^15 + 937*T1^13*T2^15 - 608*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     100*T1^10*T2^16 - 192*T1^11*T2^16 + 244*T1^12*T2^16 - 192*T1^13*T2^16 + 
     100*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1088] -> 
  {(1 - 9*T + 29*T^2 - 54*T^3 + 67*T^4 - 54*T^5 + 29*T^6 - 9*T^7 + T^8)/T^4, 
   (-4 + 36*T1 - 116*T1^2 + 216*T1^3 - 268*T1^4 + 216*T1^5 - 116*T1^6 + 
     36*T1^7 - 4*T1^8 + 36*T2 - 297*T1*T2 + 801*T1^2*T2 - 1162*T1^3*T2 + 
     955*T1^4*T2 - 134*T1^5*T2 - 415*T1^6*T2 + 459*T1^7*T2 - 207*T1^8*T2 + 
     27*T1^9*T2 - 116*T2^2 + 801*T1*T2^2 - 1238*T1^2*T2^2 - 241*T1^3*T2^2 + 
     3637*T1^4*T2^2 - 6856*T1^5*T2^2 + 5841*T1^6*T2^2 - 2851*T1^7*T2^2 + 
     386*T1^8*T2^2 + 279*T1^9*T2^2 - 58*T1^10*T2^2 + 216*T2^3 - 
     1162*T1*T2^3 - 241*T1^2*T2^3 + 6315*T1^3*T2^3 - 13072*T1^4*T2^3 + 
     14150*T1^5*T2^3 - 3985*T1^6*T2^3 - 3721*T1^7*T2^3 + 5307*T1^8*T2^3 - 
     2329*T1^9*T2^3 + 35*T1^10*T2^3 + 54*T1^11*T2^3 - 268*T2^4 + 
     955*T1*T2^4 + 3637*T1^2*T2^4 - 13072*T1^3*T2^4 + 16511*T1^4*T2^4 - 
     6936*T1^5*T2^4 - 14945*T1^6*T2^4 + 17940*T1^7*T2^4 - 9541*T1^8*T2^4 - 
     328*T1^9*T2^4 + 2661*T1^10*T2^4 - 485*T1^11*T2^4 + 216*T2^5 - 
     134*T1*T2^5 - 6856*T1^2*T2^5 + 14150*T1^3*T2^5 - 6936*T1^4*T2^5 - 
     13547*T1^5*T2^5 + 34098*T1^6*T2^5 - 15501*T1^7*T2^5 - 6203*T1^8*T2^5 + 
     14961*T1^9*T2^5 - 8071*T1^10*T2^5 + 29*T1^11*T2^5 + 487*T1^12*T2^5 - 
     54*T1^13*T2^5 - 116*T2^6 - 415*T1*T2^6 + 5841*T1^2*T2^6 - 
     3985*T1^3*T2^6 - 14945*T1^4*T2^6 + 34098*T1^5*T2^6 - 32467*T1^6*T2^6 - 
     12429*T1^7*T2^6 + 32593*T1^8*T2^6 - 21864*T1^9*T2^6 + 545*T1^10*T2^6 + 
     8021*T1^11*T2^6 - 2723*T1^12*T2^6 - 37*T1^13*T2^6 + 58*T1^14*T2^6 + 
     36*T2^7 + 459*T1*T2^7 - 2851*T1^2*T2^7 - 3721*T1^3*T2^7 + 
     17940*T1^4*T2^7 - 15501*T1^5*T2^7 - 12429*T1^6*T2^7 + 54768*T1^7*T2^7 - 
     42036*T1^8*T2^7 + 765*T1^9*T2^7 + 21372*T1^10*T2^7 - 15873*T1^11*T2^7 + 
     500*T1^12*T2^7 + 2369*T1^13*T2^7 - 279*T1^14*T2^7 - 27*T1^15*T2^7 - 
     4*T2^8 - 207*T1*T2^8 + 386*T1^2*T2^8 + 5307*T1^3*T2^8 - 9541*T1^4*T2^8 - 
     6203*T1^5*T2^8 + 32593*T1^6*T2^8 - 42036*T1^7*T2^8 + 12*T1^8*T2^8 + 
     41736*T1^9*T2^8 - 33835*T1^10*T2^8 + 7567*T1^11*T2^8 + 9819*T1^12*T2^8 - 
     5475*T1^13*T2^8 - 392*T1^14*T2^8 + 207*T1^15*T2^8 + 4*T1^16*T2^8 + 
     27*T1*T2^9 + 279*T1^2*T2^9 - 2329*T1^3*T2^9 - 328*T1^4*T2^9 + 
     14961*T1^5*T2^9 - 21864*T1^6*T2^9 + 765*T1^7*T2^9 + 41736*T1^8*T2^9 - 
     55068*T1^9*T2^9 + 13959*T1^10*T2^9 + 15009*T1^11*T2^9 - 
     18852*T1^12*T2^9 + 3893*T1^13*T2^9 + 2891*T1^14*T2^9 - 459*T1^15*T2^9 - 
     36*T1^16*T2^9 - 58*T1^2*T2^10 + 35*T1^3*T2^10 + 2661*T1^4*T2^10 - 
     8071*T1^5*T2^10 + 545*T1^6*T2^10 + 21372*T1^7*T2^10 - 33835*T1^8*T2^10 + 
     13959*T1^9*T2^10 + 31225*T1^10*T2^10 - 34590*T1^11*T2^10 + 
     16035*T1^12*T2^10 + 3935*T1^13*T2^10 - 5903*T1^14*T2^10 + 
     413*T1^15*T2^10 + 116*T1^16*T2^10 + 54*T1^3*T2^11 - 485*T1^4*T2^11 + 
     29*T1^5*T2^11 + 8021*T1^6*T2^11 - 15873*T1^7*T2^11 + 7567*T1^8*T2^11 + 
     15009*T1^9*T2^11 - 34590*T1^10*T2^11 + 14911*T1^11*T2^11 + 
     6024*T1^12*T2^11 - 14200*T1^13*T2^11 + 6914*T1^14*T2^11 + 
     136*T1^15*T2^11 - 216*T1^16*T2^11 + 487*T1^5*T2^12 - 2723*T1^6*T2^12 + 
     500*T1^7*T2^12 + 9819*T1^8*T2^12 - 18852*T1^9*T2^12 + 
     16035*T1^10*T2^12 + 6024*T1^11*T2^12 - 16233*T1^12*T2^12 + 
     13244*T1^13*T2^12 - 3699*T1^14*T2^12 - 953*T1^15*T2^12 + 
     268*T1^16*T2^12 - 54*T1^5*T2^13 - 37*T1^6*T2^13 + 2369*T1^7*T2^13 - 
     5475*T1^8*T2^13 + 3893*T1^9*T2^13 + 3935*T1^10*T2^13 - 
     14200*T1^11*T2^13 + 13244*T1^12*T2^13 - 6483*T1^13*T2^13 + 
     281*T1^14*T2^13 + 1160*T1^15*T2^13 - 216*T1^16*T2^13 + 58*T1^6*T2^14 - 
     279*T1^7*T2^14 - 392*T1^8*T2^14 + 2891*T1^9*T2^14 - 5903*T1^10*T2^14 + 
     6914*T1^11*T2^14 - 3699*T1^12*T2^14 + 281*T1^13*T2^14 + 
     1232*T1^14*T2^14 - 801*T1^15*T2^14 + 116*T1^16*T2^14 - 27*T1^7*T2^15 + 
     207*T1^8*T2^15 - 459*T1^9*T2^15 + 413*T1^10*T2^15 + 136*T1^11*T2^15 - 
     953*T1^12*T2^15 + 1160*T1^13*T2^15 - 801*T1^14*T2^15 + 297*T1^15*T2^15 - 
     36*T1^16*T2^15 + 4*T1^8*T2^16 - 36*T1^9*T2^16 + 116*T1^10*T2^16 - 
     216*T1^11*T2^16 + 268*T1^12*T2^16 - 216*T1^13*T2^16 + 116*T1^14*T2^16 - 
     36*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1089] -> 
  {(1 - 8*T + 21*T^2 - 31*T^3 + 35*T^4 - 31*T^5 + 21*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 126*T1^2 + 186*T1^3 - 210*T1^4 + 186*T1^5 - 126*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 687*T1^2*T2 - 646*T1^3*T2 + 
     439*T1^4*T2 - 89*T1^5*T2 - 230*T1^6*T2 + 455*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 126*T2^2 + 687*T1*T2^2 - 171*T1^2*T2^2 - 2118*T1^3*T2^2 + 
     3691*T1^4*T2^2 - 4617*T1^5*T2^2 + 4279*T1^6*T2^2 - 3084*T1^7*T2^2 + 
     669*T1^8*T2^2 + 351*T1^9*T2^2 - 84*T1^10*T2^2 + 186*T2^3 - 646*T1*T2^3 - 
     2118*T1^2*T2^3 + 6529*T1^3*T2^3 - 6136*T1^4*T2^3 + 4727*T1^5*T2^3 - 
     1525*T1^6*T2^3 - 1399*T1^7*T2^3 + 4633*T1^8*T2^3 - 2559*T1^9*T2^3 - 
     70*T1^10*T2^3 + 93*T1^11*T2^3 - 210*T2^4 + 439*T1*T2^4 + 
     3691*T1^2*T2^4 - 6136*T1^3*T2^4 - 119*T1^4*T2^4 + 3297*T1^5*T2^4 - 
     6735*T1^6*T2^4 + 7021*T1^7*T2^4 - 6767*T1^8*T2^4 - 556*T1^9*T2^4 + 
     2663*T1^10*T2^4 - 185*T1^11*T2^4 - 70*T1^12*T2^4 + 186*T2^5 - 
     89*T1*T2^5 - 4617*T1^2*T2^5 + 4727*T1^3*T2^5 + 3297*T1^4*T2^5 - 
     2496*T1^5*T2^5 + 3059*T1^6*T2^5 - 722*T1^7*T2^5 + 196*T1^8*T2^5 + 
     5873*T1^9*T2^5 - 2249*T1^10*T2^5 - 1803*T1^11*T2^5 + 311*T1^12*T2^5 + 
     31*T1^13*T2^5 - 126*T2^6 - 230*T1*T2^6 + 4279*T1^2*T2^6 - 
     1525*T1^3*T2^6 - 6735*T1^4*T2^6 + 3059*T1^5*T2^6 - 3850*T1^6*T2^6 + 
     2588*T1^7*T2^6 - 3566*T1^8*T2^6 - 929*T1^9*T2^6 - 3677*T1^10*T2^6 + 
     3641*T1^11*T2^6 + 459*T1^12*T2^6 - 246*T1^13*T2^6 + 48*T2^7 + 
     455*T1*T2^7 - 3084*T1^2*T2^7 - 1399*T1^3*T2^7 + 7021*T1^4*T2^7 - 
     722*T1^5*T2^7 + 2588*T1^6*T2^7 - 2760*T1^7*T2^7 + 3330*T1^8*T2^7 + 
     733*T1^9*T2^7 + 2645*T1^10*T2^7 - 147*T1^11*T2^7 - 2764*T1^12*T2^7 + 
     507*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     669*T1^2*T2^8 + 4633*T1^3*T2^8 - 6767*T1^4*T2^8 + 196*T1^5*T2^8 - 
     3566*T1^6*T2^8 + 3330*T1^7*T2^8 - 1056*T1^8*T2^8 - 2718*T1^9*T2^8 + 
     468*T1^10*T2^8 - 2856*T1^11*T2^8 + 3277*T1^12*T2^8 + 259*T1^13*T2^8 - 
     471*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     351*T1^2*T2^9 - 2559*T1^3*T2^9 - 556*T1^4*T2^9 + 5873*T1^5*T2^9 - 
     929*T1^6*T2^9 + 733*T1^7*T2^9 - 2718*T1^8*T2^9 + 3372*T1^9*T2^9 - 
     1122*T1^10*T2^9 + 2438*T1^11*T2^9 - 1295*T1^12*T2^9 - 1921*T1^13*T2^9 + 
     1032*T1^14*T2^9 - 41*T1^15*T2^9 - 16*T1^16*T2^9 - 84*T1^2*T2^10 - 
     70*T1^3*T2^10 + 2663*T1^4*T2^10 - 2249*T1^5*T2^10 - 3677*T1^6*T2^10 + 
     2645*T1^7*T2^10 + 468*T1^8*T2^10 - 1122*T1^9*T2^10 + 752*T1^10*T2^10 - 
     1343*T1^11*T2^10 - 619*T1^12*T2^10 + 2917*T1^13*T2^10 - 
     1157*T1^14*T2^10 - 86*T1^15*T2^10 + 42*T1^16*T2^10 + 93*T1^3*T2^11 - 
     185*T1^4*T2^11 - 1803*T1^5*T2^11 + 3641*T1^6*T2^11 - 147*T1^7*T2^11 - 
     2856*T1^8*T2^11 + 2438*T1^9*T2^11 - 1343*T1^10*T2^11 - 164*T1^11*T2^11 + 
     2429*T1^12*T2^11 - 3335*T1^13*T2^11 + 1011*T1^14*T2^11 + 
     215*T1^15*T2^11 - 62*T1^16*T2^11 - 70*T1^4*T2^12 + 311*T1^5*T2^12 + 
     459*T1^6*T2^12 - 2764*T1^7*T2^12 + 3277*T1^8*T2^12 - 1295*T1^9*T2^12 - 
     619*T1^10*T2^12 + 2429*T1^11*T2^12 - 3371*T1^12*T2^12 + 
     2816*T1^13*T2^12 - 569*T1^14*T2^12 - 313*T1^15*T2^12 + 70*T1^16*T2^12 + 
     31*T1^5*T2^13 - 246*T1^6*T2^13 + 507*T1^7*T2^13 + 259*T1^8*T2^13 - 
     1921*T1^9*T2^13 + 2917*T1^10*T2^13 - 3335*T1^11*T2^13 + 
     2816*T1^12*T2^13 - 1637*T1^13*T2^13 + 66*T1^14*T2^13 + 330*T1^15*T2^13 - 
     62*T1^16*T2^13 + 63*T1^7*T2^14 - 471*T1^8*T2^14 + 1032*T1^9*T2^14 - 
     1157*T1^10*T2^14 + 1011*T1^11*T2^14 - 569*T1^12*T2^14 + 66*T1^13*T2^14 + 
     369*T1^14*T2^14 - 273*T1^15*T2^14 + 42*T1^16*T2^14 - 8*T1^7*T2^15 + 
     48*T1^8*T2^15 - 41*T1^9*T2^15 - 86*T1^10*T2^15 + 215*T1^11*T2^15 - 
     313*T1^12*T2^15 + 330*T1^13*T2^15 - 273*T1^14*T2^15 + 120*T1^15*T2^15 - 
     16*T1^16*T2^15 + 2*T1^8*T2^16 - 16*T1^9*T2^16 + 42*T1^10*T2^16 - 
     62*T1^11*T2^16 + 70*T1^12*T2^16 - 62*T1^13*T2^16 + 42*T1^14*T2^16 - 
     16*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1090] -> 
  {(2 - 16*T + 42*T^2 - 55*T^3 + 42*T^4 - 16*T^5 + 2*T^6)/T^3, 
   (-33 + 264*T1 - 692*T1^2 + 905*T1^3 - 692*T1^4 + 264*T1^5 - 33*T1^6 + 
     264*T2 - 1912*T1*T2 + 3932*T1^2*T2 - 3044*T1^3*T2 + 60*T1^4*T2 + 
     2076*T1^5*T2 - 1336*T1^6*T2 + 200*T1^7*T2 - 692*T2^2 + 3932*T1*T2^2 - 
     2066*T1^2*T2^2 - 11606*T1^3*T2^2 + 21688*T1^4*T2^2 - 18158*T1^5*T2^2 + 
     4654*T1^6*T2^2 + 1244*T1^7*T2^2 - 356*T1^8*T2^2 + 905*T2^3 - 
     3044*T1*T2^3 - 11606*T1^2*T2^3 + 40118*T1^3*T2^3 - 38010*T1^4*T2^3 + 
     8034*T1^5*T2^3 + 19952*T1^6*T2^3 - 13370*T1^7*T2^3 + 892*T1^8*T2^3 + 
     245*T1^9*T2^3 - 692*T2^4 + 60*T1*T2^4 + 21688*T1^2*T2^4 - 
     38010*T1^3*T2^4 - 4375*T1^4*T2^4 + 53629*T1^5*T2^4 - 59575*T1^6*T2^4 + 
     13910*T1^7*T2^4 + 7640*T1^8*T2^4 - 1796*T1^9*T2^4 - 20*T1^10*T2^4 + 
     264*T2^5 + 2076*T1*T2^5 - 18158*T1^2*T2^5 + 8034*T1^3*T2^5 + 
     53629*T1^4*T2^5 - 75946*T1^5*T2^5 + 34076*T1^6*T2^5 + 27841*T1^7*T2^5 - 
     26258*T1^8*T2^5 + 2758*T1^9*T2^5 + 604*T1^10*T2^5 - 56*T1^11*T2^5 - 
     33*T2^6 - 1336*T1*T2^6 + 4654*T1^2*T2^6 + 19952*T1^3*T2^6 - 
     59575*T1^4*T2^6 + 34076*T1^5*T2^6 + 30432*T1^6*T2^6 - 62940*T1^7*T2^6 + 
     26233*T1^8*T2^6 + 5192*T1^9*T2^6 - 3666*T1^10*T2^6 + 328*T1^11*T2^6 + 
     15*T1^12*T2^6 + 200*T1*T2^7 + 1244*T1^2*T2^7 - 13370*T1^3*T2^7 + 
     13910*T1^4*T2^7 + 27841*T1^5*T2^7 - 62940*T1^6*T2^7 + 47082*T1^7*T2^7 + 
     2053*T1^8*T2^7 - 20382*T1^9*T2^7 + 7546*T1^10*T2^7 - 228*T1^11*T2^7 - 
     120*T1^12*T2^7 - 356*T1^2*T2^8 + 892*T1^3*T2^8 + 7640*T1^4*T2^8 - 
     26258*T1^5*T2^8 + 26233*T1^6*T2^8 + 2053*T1^7*T2^8 - 28967*T1^8*T2^8 + 
     25662*T1^9*T2^8 - 6408*T1^10*T2^8 - 964*T1^11*T2^8 + 316*T1^12*T2^8 + 
     245*T1^3*T2^9 - 1796*T1^4*T2^9 + 2758*T1^5*T2^9 + 5192*T1^6*T2^9 - 
     20382*T1^7*T2^9 + 25662*T1^8*T2^9 - 14974*T1^9*T2^9 + 994*T1^10*T2^9 + 
     2140*T1^11*T2^9 - 415*T1^12*T2^9 - 20*T1^4*T2^10 + 604*T1^5*T2^10 - 
     3666*T1^6*T2^10 + 7546*T1^7*T2^10 - 6408*T1^8*T2^10 + 994*T1^9*T2^10 + 
     3054*T1^10*T2^10 - 2084*T1^11*T2^10 + 316*T1^12*T2^10 - 56*T1^5*T2^11 + 
     328*T1^6*T2^11 - 228*T1^7*T2^11 - 964*T1^8*T2^11 + 2140*T1^9*T2^11 - 
     2084*T1^10*T2^11 + 904*T1^11*T2^11 - 120*T1^12*T2^11 + 15*T1^6*T2^12 - 
     120*T1^7*T2^12 + 316*T1^8*T2^12 - 415*T1^9*T2^12 + 316*T1^10*T2^12 - 
     120*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1091] -> 
  {(2 - 10*T + 27*T^2 - 49*T^3 + 61*T^4 - 49*T^5 + 27*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-33 + 164*T1 - 441*T1^2 + 799*T1^3 - 995*T1^4 + 799*T1^5 - 
     441*T1^6 + 164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1579*T1^2*T2 - 
     2321*T1^3*T2 + 1954*T1^4*T2 - 246*T1^5*T2 - 801*T1^6*T2 + 839*T1^7*T2 - 
     452*T1^8*T2 + 124*T1^9*T2 - 441*T2^2 + 1579*T1*T2^2 - 3075*T1^2*T2^2 + 
     3613*T1^3*T2^2 - 1482*T1^4*T2^2 - 2349*T1^5*T2^2 + 2190*T1^6*T2^2 - 
     599*T1^7*T2^2 - 375*T1^8*T2^2 + 499*T1^9*T2^2 - 225*T1^10*T2^2 + 
     799*T2^3 - 2321*T1*T2^3 + 3613*T1^2*T2^3 - 2682*T1^3*T2^3 - 
     1944*T1^4*T2^3 + 6331*T1^5*T2^3 - 1025*T1^6*T2^3 - 2298*T1^7*T2^3 + 
     2322*T1^8*T2^3 - 1085*T1^9*T2^3 + 79*T1^10*T2^3 + 211*T1^11*T2^3 - 
     995*T2^4 + 1954*T1*T2^4 - 1482*T1^2*T2^4 - 1944*T1^3*T2^4 + 
     7573*T1^4*T2^4 - 7861*T1^5*T2^4 - 5765*T1^6*T2^4 + 6427*T1^7*T2^4 - 
     1855*T1^8*T2^4 - 1356*T1^9*T2^4 + 1894*T1^10*T2^4 - 966*T1^11*T2^4 - 
     19*T1^12*T2^4 + 799*T2^5 - 246*T1*T2^5 - 2349*T1^2*T2^5 + 
     6331*T1^3*T2^5 - 7861*T1^4*T2^5 - 731*T1^5*T2^5 + 18346*T1^6*T2^5 - 
     6234*T1^7*T2^5 - 5123*T1^8*T2^5 + 6628*T1^9*T2^5 - 3193*T1^10*T2^5 + 
     75*T1^11*T2^5 + 994*T1^12*T2^5 - 181*T1^13*T2^5 - 441*T2^6 - 
     801*T1*T2^6 + 2190*T1^2*T2^6 - 1025*T1^3*T2^6 - 5765*T1^4*T2^6 + 
     18346*T1^5*T2^6 - 23384*T1^6*T2^6 - 9364*T1^7*T2^6 + 20272*T1^8*T2^6 - 
     10356*T1^9*T2^6 + 309*T1^10*T2^6 + 3079*T1^11*T2^6 - 2074*T1^12*T2^6 - 
     121*T1^13*T2^6 + 207*T1^14*T2^6 + 164*T2^7 + 839*T1*T2^7 - 
     599*T1^2*T2^7 - 2298*T1^3*T2^7 + 6427*T1^4*T2^7 - 6234*T1^5*T2^7 - 
     9364*T1^6*T2^7 + 43916*T1^7*T2^7 - 31500*T1^8*T2^7 + 1071*T1^9*T2^7 + 
     10102*T1^10*T2^7 - 7258*T1^11*T2^7 + 1824*T1^12*T2^7 + 1183*T1^13*T2^7 - 
     461*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 - 
     375*T1^2*T2^8 + 2322*T1^3*T2^8 - 1855*T1^4*T2^8 - 5123*T1^5*T2^8 + 
     20272*T1^6*T2^8 - 31500*T1^7*T2^8 - 2640*T1^8*T2^8 + 32724*T1^9*T2^8 - 
     23498*T1^10*T2^8 + 7075*T1^11*T2^8 + 1409*T1^12*T2^8 - 2602*T1^13*T2^8 + 
     321*T1^14*T2^8 + 428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 
     499*T1^2*T2^9 - 1085*T1^3*T2^9 - 1356*T1^4*T2^9 + 6628*T1^5*T2^9 - 
     10356*T1^6*T2^9 + 1071*T1^7*T2^9 + 32724*T1^8*T2^9 - 42692*T1^9*T2^9 + 
     11506*T1^10*T2^9 + 5980*T1^11*T2^9 - 7057*T1^12*T2^9 + 2766*T1^13*T2^9 + 
     697*T1^14*T2^9 - 801*T1^15*T2^9 - 156*T1^16*T2^9 - 225*T1^2*T2^10 + 
     79*T1^3*T2^10 + 1894*T1^4*T2^10 - 3193*T1^5*T2^10 + 309*T1^6*T2^10 + 
     10102*T1^7*T2^10 - 23498*T1^8*T2^10 + 11506*T1^9*T2^10 + 
     20158*T1^10*T2^10 - 18600*T1^11*T2^10 + 6383*T1^12*T2^10 + 
     911*T1^13*T2^10 - 2370*T1^14*T2^10 + 759*T1^15*T2^10 + 423*T1^16*T2^10 + 
     211*T1^3*T2^11 - 966*T1^4*T2^11 + 75*T1^5*T2^11 + 3079*T1^6*T2^11 - 
     7258*T1^7*T2^11 + 7075*T1^8*T2^11 + 5980*T1^9*T2^11 - 
     18600*T1^10*T2^11 + 2683*T1^11*T2^11 + 7231*T1^12*T2^11 - 
     6445*T1^13*T2^11 + 2499*T1^14*T2^11 + 274*T1^15*T2^11 - 
     769*T1^16*T2^11 - 19*T1^4*T2^12 + 994*T1^5*T2^12 - 2074*T1^6*T2^12 + 
     1824*T1^7*T2^12 + 1409*T1^8*T2^12 - 7057*T1^9*T2^12 + 6383*T1^10*T2^12 + 
     7231*T1^11*T2^12 - 8019*T1^12*T2^12 + 2412*T1^13*T2^12 + 
     1302*T1^14*T2^12 - 1926*T1^15*T2^12 + 957*T1^16*T2^12 - 181*T1^5*T2^13 - 
     121*T1^6*T2^13 + 1183*T1^7*T2^13 - 2602*T1^8*T2^13 + 2766*T1^9*T2^13 + 
     911*T1^10*T2^13 - 6445*T1^11*T2^13 + 2412*T1^12*T2^13 + 
     2402*T1^13*T2^13 - 3515*T1^14*T2^13 + 2279*T1^15*T2^13 - 
     769*T1^16*T2^13 + 207*T1^6*T2^14 - 461*T1^7*T2^14 + 321*T1^8*T2^14 + 
     697*T1^9*T2^14 - 2370*T1^10*T2^14 + 2499*T1^11*T2^14 + 
     1302*T1^12*T2^14 - 3515*T1^13*T2^14 + 3021*T1^14*T2^14 - 
     1541*T1^15*T2^14 + 423*T1^16*T2^14 - 116*T1^7*T2^15 + 428*T1^8*T2^15 - 
     801*T1^9*T2^15 + 759*T1^10*T2^15 + 274*T1^11*T2^15 - 1926*T1^12*T2^15 + 
     2279*T1^13*T2^15 - 1541*T1^14*T2^15 + 668*T1^15*T2^15 - 
     156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 423*T1^10*T2^16 - 
     769*T1^11*T2^16 + 957*T1^12*T2^16 - 769*T1^13*T2^16 + 423*T1^14*T2^16 - 
     156*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1092] -> 
  {-((1 - 9*T + 29*T^2 - 52*T^3 + 61*T^4 - 52*T^5 + 29*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 145*T1^2 + 260*T1^3 - 305*T1^4 + 260*T1^5 - 
      145*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 981*T1^2*T2 - 
      1295*T1^3*T2 + 872*T1^4*T2 - 145*T1^5*T2 - 566*T1^6*T2 + 639*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 145*T2^2 + 981*T1*T2^2 - 1377*T1^2*T2^2 - 
      1070*T1^3*T2^2 + 5451*T1^4*T2^2 - 7649*T1^5*T2^2 + 7307*T1^6*T2^2 - 
      3564*T1^7*T2^2 + 247*T1^8*T2^2 + 459*T1^9*T2^2 - 87*T1^10*T2^2 + 
      260*T2^3 - 1295*T1*T2^3 - 1070*T1^2*T2^3 + 9823*T1^3*T2^3 - 
      16635*T1^4*T2^3 + 12451*T1^5*T2^3 - 4406*T1^6*T2^3 - 6414*T1^7*T2^3 + 
      8173*T1^8*T2^3 - 2984*T1^9*T2^3 - 152*T1^10*T2^3 + 104*T1^11*T2^3 - 
      305*T2^4 + 872*T1*T2^4 + 5451*T1^2*T2^4 - 16635*T1^3*T2^4 + 
      13676*T1^4*T2^4 + 6913*T1^5*T2^4 - 19544*T1^6*T2^4 + 26373*T1^7*T2^4 - 
      11932*T1^8*T2^4 - 3115*T1^9*T2^4 + 4103*T1^10*T2^4 - 388*T1^11*T2^4 - 
      61*T1^12*T2^4 + 260*T2^5 - 145*T1*T2^5 - 7649*T1^2*T2^5 + 
      12451*T1^3*T2^5 + 6913*T1^4*T2^5 - 33723*T1^5*T2^5 + 29673*T1^6*T2^5 - 
      17204*T1^7*T2^5 - 13085*T1^8*T2^5 + 21040*T1^9*T2^5 - 6712*T1^10*T2^5 - 
      1874*T1^11*T2^5 + 548*T1^12*T2^5 - 145*T2^6 - 566*T1*T2^6 + 
      7307*T1^2*T2^6 - 4406*T1^3*T2^6 - 19544*T1^4*T2^6 + 29673*T1^5*T2^6 + 
      524*T1^6*T2^6 - 20322*T1^7*T2^6 + 38116*T1^8*T2^6 - 19189*T1^9*T2^6 - 
      7210*T1^10*T2^6 + 8992*T1^11*T2^6 - 957*T1^12*T2^6 - 260*T1^13*T2^6 + 
      29*T1^14*T2^6 + 45*T2^7 + 639*T1*T2^7 - 3564*T1^2*T2^7 - 
      6414*T1^3*T2^7 + 26373*T1^4*T2^7 - 17204*T1^5*T2^7 - 20322*T1^6*T2^7 + 
      24174*T1^7*T2^7 - 16778*T1^8*T2^7 - 12732*T1^9*T2^7 + 
      25703*T1^10*T2^7 - 9086*T1^11*T2^7 - 3439*T1^12*T2^7 + 
      1830*T1^13*T2^7 - 99*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 247*T1^2*T2^8 + 8173*T1^3*T2^8 - 11932*T1^4*T2^8 - 
      13085*T1^5*T2^8 + 38116*T1^6*T2^8 - 16778*T1^7*T2^8 - 7056*T1^8*T2^8 + 
      25162*T1^9*T2^8 - 17628*T1^10*T2^8 - 7359*T1^11*T2^8 + 
      12168*T1^12*T2^8 - 3017*T1^13*T2^8 - 531*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 459*T1^2*T2^9 - 2984*T1^3*T2^9 - 
      3115*T1^4*T2^9 + 21040*T1^5*T2^9 - 19189*T1^6*T2^9 - 12732*T1^7*T2^9 + 
      25162*T1^8*T2^9 - 15790*T1^9*T2^9 - 5142*T1^10*T2^9 + 
      23718*T1^11*T2^9 - 14419*T1^12*T2^9 - 140*T1^13*T2^9 + 
      2410*T1^14*T2^9 - 279*T1^15*T2^9 - 27*T1^16*T2^9 - 87*T1^2*T2^10 - 
      152*T1^3*T2^10 + 4103*T1^4*T2^10 - 6712*T1^5*T2^10 - 7210*T1^6*T2^10 + 
      25703*T1^7*T2^10 - 17628*T1^8*T2^10 - 5142*T1^9*T2^10 + 
      19964*T1^10*T2^10 - 23159*T1^11*T2^10 + 5124*T1^12*T2^10 + 
      6686*T1^13*T2^10 - 4161*T1^14*T2^10 + 154*T1^15*T2^10 + 
      87*T1^16*T2^10 + 104*T1^3*T2^11 - 388*T1^4*T2^11 - 1874*T1^5*T2^11 + 
      8992*T1^6*T2^11 - 9086*T1^7*T2^11 - 7359*T1^8*T2^11 + 
      23718*T1^9*T2^11 - 23159*T1^10*T2^11 + 13279*T1^11*T2^11 + 
      5041*T1^12*T2^11 - 10171*T1^13*T2^11 + 3901*T1^14*T2^11 + 
      305*T1^15*T2^11 - 156*T1^16*T2^11 - 61*T1^4*T2^12 + 548*T1^5*T2^12 - 
      957*T1^6*T2^12 - 3439*T1^7*T2^12 + 12168*T1^8*T2^12 - 
      14419*T1^9*T2^12 + 5124*T1^10*T2^12 + 5041*T1^11*T2^12 - 
      13440*T1^12*T2^12 + 10081*T1^13*T2^12 - 2305*T1^14*T2^12 - 
      712*T1^15*T2^12 + 183*T1^16*T2^12 - 260*T1^6*T2^13 + 1830*T1^7*T2^13 - 
      3017*T1^8*T2^13 - 140*T1^9*T2^13 + 6686*T1^10*T2^13 - 
      10171*T1^11*T2^13 + 10081*T1^12*T2^13 - 4667*T1^13*T2^13 - 
      84*T1^14*T2^13 + 883*T1^15*T2^13 - 156*T1^16*T2^13 + 29*T1^6*T2^14 - 
      99*T1^7*T2^14 - 531*T1^8*T2^14 + 2410*T1^9*T2^14 - 4161*T1^10*T2^14 + 
      3901*T1^11*T2^14 - 2305*T1^12*T2^14 - 84*T1^13*T2^14 + 
      1093*T1^14*T2^14 - 621*T1^15*T2^14 + 87*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 279*T1^9*T2^15 + 154*T1^10*T2^15 + 305*T1^11*T2^15 - 
      712*T1^12*T2^15 + 883*T1^13*T2^15 - 621*T1^14*T2^15 + 225*T1^15*T2^15 - 
      27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 87*T1^10*T2^16 - 
      156*T1^11*T2^16 + 183*T1^12*T2^16 - 156*T1^13*T2^16 + 87*T1^14*T2^16 - 
      27*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1093] -> 
  {-((1 - 8*T + 25*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 125*T1^2 + 220*T1^3 - 255*T1^4 + 220*T1^5 - 
      125*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 744*T1^2*T2 - 
      959*T1^3*T2 + 631*T1^4*T2 - 129*T1^5*T2 - 407*T1^6*T2 + 480*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 125*T2^2 + 744*T1*T2^2 - 1151*T1^2*T2^2 - 
      312*T1^3*T2^2 + 3027*T1^4*T2^2 - 4261*T1^5*T2^2 + 4327*T1^6*T2^2 - 
      2112*T1^7*T2^2 + 49*T1^8*T2^2 + 344*T1^9*T2^2 - 75*T1^10*T2^2 + 
      220*T2^3 - 959*T1*T2^3 - 312*T1^2*T2^3 + 5682*T1^3*T2^3 - 
      9767*T1^4*T2^3 + 6952*T1^5*T2^3 - 2940*T1^6*T2^3 - 3755*T1^7*T2^3 + 
      5022*T1^8*T2^3 - 1812*T1^9*T2^3 - 103*T1^10*T2^3 + 88*T1^11*T2^3 - 
      255*T2^4 + 631*T1*T2^4 + 3027*T1^2*T2^4 - 9767*T1^3*T2^4 + 
      7460*T1^4*T2^4 + 5452*T1^5*T2^4 - 11466*T1^6*T2^4 + 16412*T1^7*T2^4 - 
      7684*T1^8*T2^4 - 1847*T1^9*T2^4 + 2495*T1^10*T2^4 - 297*T1^11*T2^4 - 
      51*T1^12*T2^4 + 220*T2^5 - 129*T1*T2^5 - 4261*T1^2*T2^5 + 
      6952*T1^3*T2^5 + 5452*T1^4*T2^5 - 21458*T1^5*T2^5 + 16540*T1^6*T2^5 - 
      10764*T1^7*T2^5 - 7874*T1^8*T2^5 + 13012*T1^9*T2^5 - 4068*T1^10*T2^5 - 
      1069*T1^11*T2^5 + 407*T1^12*T2^5 - 125*T2^6 - 407*T1*T2^6 + 
      4327*T1^2*T2^6 - 2940*T1^3*T2^6 - 11466*T1^4*T2^6 + 16540*T1^5*T2^6 + 
      3594*T1^6*T2^6 - 12032*T1^7*T2^6 + 22806*T1^8*T2^6 - 11460*T1^9*T2^6 - 
      4568*T1^10*T2^6 + 5260*T1^11*T2^6 - 637*T1^12*T2^6 - 199*T1^13*T2^6 + 
      25*T1^14*T2^6 + 40*T2^7 + 480*T1*T2^7 - 2112*T1^2*T2^7 - 
      3755*T1^3*T2^7 + 16412*T1^4*T2^7 - 10764*T1^5*T2^7 - 12032*T1^6*T2^7 + 
      10456*T1^7*T2^7 - 7520*T1^8*T2^7 - 8296*T1^9*T2^7 + 15148*T1^10*T2^7 - 
      4748*T1^11*T2^7 - 2135*T1^12*T2^7 + 1188*T1^13*T2^7 - 72*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 49*T1^2*T2^8 + 5022*T1^3*T2^8 - 
      7684*T1^4*T2^8 - 7874*T1^5*T2^8 + 22806*T1^6*T2^8 - 7520*T1^7*T2^8 - 
      3768*T1^8*T2^8 + 12304*T1^9*T2^8 - 8282*T1^10*T2^8 - 5714*T1^11*T2^8 + 
      7352*T1^12*T2^8 - 1858*T1^13*T2^8 - 323*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 344*T1^2*T2^9 - 1812*T1^3*T2^9 - 
      1847*T1^4*T2^9 + 13012*T1^5*T2^9 - 11460*T1^6*T2^9 - 8296*T1^7*T2^9 + 
      12304*T1^8*T2^9 - 5672*T1^9*T2^9 - 4560*T1^10*T2^9 + 14452*T1^11*T2^9 - 
      8148*T1^12*T2^9 - 227*T1^13*T2^9 + 1488*T1^14*T2^9 - 208*T1^15*T2^9 - 
      24*T1^16*T2^9 - 75*T1^2*T2^10 - 103*T1^3*T2^10 + 2495*T1^4*T2^10 - 
      4068*T1^5*T2^10 - 4568*T1^6*T2^10 + 15148*T1^7*T2^10 - 
      8282*T1^8*T2^10 - 4560*T1^9*T2^10 + 10930*T1^10*T2^10 - 
      12852*T1^11*T2^10 + 2330*T1^12*T2^10 + 4132*T1^13*T2^10 - 
      2469*T1^14*T2^10 + 105*T1^15*T2^10 + 75*T1^16*T2^10 + 88*T1^3*T2^11 - 
      297*T1^4*T2^11 - 1069*T1^5*T2^11 + 5260*T1^6*T2^11 - 4748*T1^7*T2^11 - 
      5714*T1^8*T2^11 + 14452*T1^9*T2^11 - 12852*T1^10*T2^11 + 
      7870*T1^11*T2^11 + 2812*T1^12*T2^11 - 5760*T1^13*T2^11 + 
      2123*T1^14*T2^11 + 239*T1^15*T2^11 - 132*T1^16*T2^11 - 51*T1^4*T2^12 + 
      407*T1^5*T2^12 - 637*T1^6*T2^12 - 2135*T1^7*T2^12 + 7352*T1^8*T2^12 - 
      8148*T1^9*T2^12 + 2330*T1^10*T2^12 + 2812*T1^11*T2^12 - 
      7792*T1^12*T2^12 + 5785*T1^13*T2^12 - 1169*T1^14*T2^12 - 
      521*T1^15*T2^12 + 153*T1^16*T2^12 - 199*T1^6*T2^13 + 1188*T1^7*T2^13 - 
      1858*T1^8*T2^13 - 227*T1^9*T2^13 + 4132*T1^10*T2^13 - 
      5760*T1^11*T2^13 + 5785*T1^12*T2^13 - 2518*T1^13*T2^13 - 
      312*T1^14*T2^13 + 657*T1^15*T2^13 - 132*T1^16*T2^13 + 25*T1^6*T2^14 - 
      72*T1^7*T2^14 - 323*T1^8*T2^14 + 1488*T1^9*T2^14 - 2469*T1^10*T2^14 + 
      2123*T1^11*T2^14 - 1169*T1^12*T2^14 - 312*T1^13*T2^14 + 
      877*T1^14*T2^14 - 472*T1^15*T2^14 + 75*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 208*T1^9*T2^15 + 105*T1^10*T2^15 + 239*T1^11*T2^15 - 
      521*T1^12*T2^15 + 657*T1^13*T2^15 - 472*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 75*T1^10*T2^16 - 
      132*T1^11*T2^16 + 153*T1^12*T2^16 - 132*T1^13*T2^16 + 75*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1094] -> 
  {((2 - 4*T + T^2)*(1 - T + T^2)*(1 - 4*T + 2*T^2))/T^3, 
   (-33 + 232*T1 - 580*T1^2 + 745*T1^3 - 580*T1^4 + 232*T1^5 - 33*T1^6 + 
     232*T2 - 1456*T1*T2 + 2837*T1^2*T2 - 2137*T1^3*T2 + 103*T1^4*T2 + 
     1465*T1^5*T2 - 1008*T1^6*T2 + 176*T1^7*T2 - 580*T2^2 + 2837*T1*T2^2 - 
     1773*T1^2*T2^2 - 6523*T1^3*T2^2 + 12389*T1^4*T2^2 - 10863*T1^5*T2^2 + 
     2847*T1^6*T2^2 + 877*T1^7*T2^2 - 300*T1^8*T2^2 + 745*T2^3 - 
     2137*T1*T2^3 - 6523*T1^2*T2^3 + 22708*T1^3*T2^3 - 20907*T1^4*T2^3 + 
     5063*T1^5*T2^3 + 11388*T1^6*T2^3 - 8133*T1^7*T2^3 + 663*T1^8*T2^3 + 
     205*T1^9*T2^3 - 580*T2^4 + 103*T1*T2^4 + 12389*T1^2*T2^4 - 
     20907*T1^3*T2^4 - 3037*T1^4*T2^4 + 28231*T1^5*T2^4 - 32857*T1^6*T2^4 + 
     8073*T1^7*T2^4 + 4549*T1^8*T2^4 - 1297*T1^9*T2^4 - 20*T1^10*T2^4 + 
     232*T2^5 + 1465*T1*T2^5 - 10863*T1^2*T2^5 + 5063*T1^3*T2^5 + 
     28231*T1^4*T2^5 - 38361*T1^5*T2^5 + 17849*T1^6*T2^5 + 15246*T1^7*T2^5 - 
     14887*T1^8*T2^5 + 1667*T1^9*T2^5 + 485*T1^10*T2^5 - 48*T1^11*T2^5 - 
     33*T2^6 - 1008*T1*T2^6 + 2847*T1^2*T2^6 + 11388*T1^3*T2^6 - 
     32857*T1^4*T2^6 + 17849*T1^5*T2^6 + 15048*T1^6*T2^6 - 32565*T1^7*T2^6 + 
     13553*T1^8*T2^6 + 3448*T1^9*T2^6 - 2389*T1^10*T2^6 + 224*T1^11*T2^6 + 
     15*T1^12*T2^6 + 176*T1*T2^7 + 877*T1^2*T2^7 - 8133*T1^3*T2^7 + 
     8073*T1^4*T2^7 + 15246*T1^5*T2^7 - 32565*T1^6*T2^7 + 23645*T1^7*T2^7 + 
     2261*T1^8*T2^7 - 11877*T1^9*T2^7 + 4397*T1^10*T2^7 - 103*T1^11*T2^7 - 
     104*T1^12*T2^7 - 300*T1^2*T2^8 + 663*T1^3*T2^8 + 4549*T1^4*T2^8 - 
     14887*T1^5*T2^8 + 13553*T1^6*T2^8 + 2261*T1^7*T2^8 - 16267*T1^8*T2^8 + 
     14093*T1^9*T2^8 - 3291*T1^10*T2^8 - 737*T1^11*T2^8 + 260*T1^12*T2^8 + 
     205*T1^3*T2^9 - 1297*T1^4*T2^9 + 1667*T1^5*T2^9 + 3448*T1^6*T2^9 - 
     11877*T1^7*T2^9 + 14093*T1^8*T2^9 - 7872*T1^9*T2^9 + 57*T1^10*T2^9 + 
     1503*T1^11*T2^9 - 335*T1^12*T2^9 - 20*T1^4*T2^10 + 485*T1^5*T2^10 - 
     2389*T1^6*T2^10 + 4397*T1^7*T2^10 - 3291*T1^8*T2^10 + 57*T1^9*T2^10 + 
     2231*T1^10*T2^10 - 1475*T1^11*T2^10 + 260*T1^12*T2^10 - 48*T1^5*T2^11 + 
     224*T1^6*T2^11 - 103*T1^7*T2^11 - 737*T1^8*T2^11 + 1503*T1^9*T2^11 - 
     1475*T1^10*T2^11 + 672*T1^11*T2^11 - 104*T1^12*T2^11 + 15*T1^6*T2^12 - 
     104*T1^7*T2^12 + 260*T1^8*T2^12 - 335*T1^9*T2^12 + 260*T1^10*T2^12 - 
     104*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1095] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-63 + 252*T1 - 464*T1^2 + 527*T1^3 - 464*T1^4 + 252*T1^5 - 63*T1^6 + 
     252*T2 - 864*T1*T2 + 1280*T1^2*T2 - 1044*T1^3*T2 + 648*T1^4*T2 + 
     56*T1^5*T2 - 324*T1^6*T2 + 144*T1^7*T2 - 464*T2^2 + 1280*T1*T2^2 - 
     1224*T1^2*T2^2 + 33*T1^3*T2^2 + 690*T1^4*T2^2 - 1683*T1^5*T2^2 + 
     1284*T1^6*T2^2 - 304*T1^7*T2^2 - 68*T1^8*T2^2 + 527*T2^3 - 
     1044*T1*T2^3 + 33*T1^2*T2^3 + 1907*T1^3*T2^3 - 2146*T1^4*T2^3 + 
     2612*T1^5*T2^3 - 769*T1^6*T2^3 - 957*T1^7*T2^3 + 864*T1^8*T2^3 - 
     148*T1^9*T2^3 - 464*T2^4 + 648*T1*T2^4 + 690*T1^2*T2^4 - 
     2146*T1^3*T2^4 + 1075*T1^4*T2^4 - 805*T1^5*T2^4 - 1709*T1^6*T2^4 + 
     2654*T1^7*T2^4 - 702*T1^8*T2^4 - 720*T1^9*T2^4 + 328*T1^10*T2^4 + 
     252*T2^5 + 56*T1*T2^5 - 1683*T1^2*T2^5 + 2612*T1^3*T2^5 - 
     805*T1^4*T2^5 + 244*T1^5*T2^5 + 1866*T1^6*T2^5 - 1289*T1^7*T2^5 - 
     2062*T1^8*T2^5 + 2211*T1^9*T2^5 - 160*T1^10*T2^5 - 288*T1^11*T2^5 - 
     63*T2^6 - 324*T1*T2^6 + 1284*T1^2*T2^6 - 769*T1^3*T2^6 - 
     1709*T1^4*T2^6 + 1866*T1^5*T2^6 - 1788*T1^6*T2^6 - 422*T1^7*T2^6 + 
     3471*T1^8*T2^6 - 1063*T1^9*T2^6 - 1536*T1^10*T2^6 + 756*T1^11*T2^6 + 
     99*T1^12*T2^6 + 144*T1*T2^7 - 304*T1^2*T2^7 - 957*T1^3*T2^7 + 
     2654*T1^4*T2^7 - 1289*T1^5*T2^7 - 422*T1^6*T2^7 + 1200*T1^7*T2^7 - 
     1773*T1^8*T2^7 - 2020*T1^9*T2^7 + 2937*T1^10*T2^7 - 520*T1^11*T2^7 - 
     396*T1^12*T2^7 - 68*T1^2*T2^8 + 864*T1^3*T2^8 - 702*T1^4*T2^8 - 
     2062*T1^5*T2^8 + 3471*T1^6*T2^8 - 1773*T1^7*T2^8 + 687*T1^8*T2^8 + 
     2738*T1^9*T2^8 - 2094*T1^10*T2^8 - 504*T1^11*T2^8 + 724*T1^12*T2^8 - 
     148*T1^3*T2^9 - 720*T1^4*T2^9 + 2211*T1^5*T2^9 - 1063*T1^6*T2^9 - 
     2020*T1^7*T2^9 + 2738*T1^8*T2^9 - 3739*T1^9*T2^9 + 1221*T1^10*T2^9 + 
     1188*T1^11*T2^9 - 823*T1^12*T2^9 + 328*T1^4*T2^10 - 160*T1^5*T2^10 - 
     1536*T1^6*T2^10 + 2937*T1^7*T2^10 - 2094*T1^8*T2^10 + 1221*T1^9*T2^10 + 
     972*T1^10*T2^10 - 1744*T1^11*T2^10 + 724*T1^12*T2^10 - 288*T1^5*T2^11 + 
     756*T1^6*T2^11 - 520*T1^7*T2^11 - 504*T1^8*T2^11 + 1188*T1^9*T2^11 - 
     1744*T1^10*T2^11 + 1296*T1^11*T2^11 - 396*T1^12*T2^11 + 99*T1^6*T2^12 - 
     396*T1^7*T2^12 + 724*T1^8*T2^12 - 823*T1^9*T2^12 + 724*T1^10*T2^12 - 
     396*T1^11*T2^12 + 99*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1096] -> 
  {-((1 - 8*T + 29*T^2 - 60*T^3 + 75*T^4 - 60*T^5 + 29*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 87*T1^2 + 180*T1^3 - 225*T1^4 + 180*T1^5 - 
      87*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 568*T1^2*T2 - 
      977*T1^3*T2 + 841*T1^4*T2 - 239*T1^5*T2 - 265*T1^6*T2 + 272*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 87*T2^2 + 568*T1*T2^2 - 1523*T1^2*T2^2 + 
      1723*T1^3*T2^2 + 365*T1^4*T2^2 - 2713*T1^5*T2^2 + 3033*T1^6*T2^2 - 
      1293*T1^7*T2^2 + 101*T1^8*T2^2 + 104*T1^9*T2^2 - 29*T1^10*T2^2 + 
      180*T2^3 - 977*T1*T2^3 + 1723*T1^2*T2^3 + 848*T1^3*T2^3 - 
      7738*T1^4*T2^3 + 10146*T1^5*T2^3 - 5154*T1^6*T2^3 - 2030*T1^7*T2^3 + 
      3244*T1^8*T2^3 - 1409*T1^9*T2^3 + 231*T1^10*T2^3 - 225*T2^4 + 
      841*T1*T2^4 + 365*T1^2*T2^4 - 7738*T1^3*T2^4 + 16702*T1^4*T2^4 - 
      8644*T1^5*T2^4 - 9908*T1^6*T2^4 + 19916*T1^7*T2^4 - 11018*T1^8*T2^4 + 
      1142*T1^9*T2^4 + 1385*T1^10*T2^4 - 599*T1^11*T2^4 + 75*T1^12*T2^4 + 
      180*T2^5 - 239*T1*T2^5 - 2713*T1^2*T2^5 + 10146*T1^3*T2^5 - 
      8644*T1^4*T2^5 - 21416*T1^5*T2^5 + 47586*T1^6*T2^5 - 38214*T1^7*T2^5 + 
      2344*T1^8*T2^5 + 14276*T1^9*T2^5 - 8394*T1^10*T2^5 + 1247*T1^11*T2^5 + 
      361*T1^12*T2^5 - 120*T1^13*T2^5 - 87*T2^6 - 265*T1*T2^6 + 
      3033*T1^2*T2^6 - 5154*T1^3*T2^6 - 9908*T1^4*T2^6 + 47586*T1^5*T2^6 - 
      49834*T1^6*T2^6 - 3326*T1^7*T2^6 + 55298*T1^8*T2^6 - 46974*T1^9*T2^6 + 
      9742*T1^10*T2^6 + 5286*T1^11*T2^6 - 2931*T1^12*T2^6 + 263*T1^13*T2^6 + 
      87*T1^14*T2^6 + 24*T2^7 + 272*T1*T2^7 - 1293*T1^2*T2^7 - 
      2030*T1^3*T2^7 + 19916*T1^4*T2^7 - 38214*T1^5*T2^7 - 3326*T1^6*T2^7 + 
      84330*T1^7*T2^7 - 101006*T1^8*T2^7 + 33050*T1^9*T2^7 + 
      30066*T1^10*T2^7 - 25564*T1^11*T2^7 + 4950*T1^12*T2^7 + 
      1143*T1^13*T2^7 - 440*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 101*T1^2*T2^8 + 3244*T1^3*T2^8 - 11018*T1^4*T2^8 + 
      2344*T1^5*T2^8 + 55298*T1^6*T2^8 - 101006*T1^7*T2^8 + 37032*T1^8*T2^8 + 
      65954*T1^9*T2^8 - 92974*T1^10*T2^8 + 30424*T1^11*T2^8 + 
      6498*T1^12*T2^8 - 5812*T1^13*T2^8 + 625*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 104*T1^2*T2^9 - 1409*T1^3*T2^9 + 
      1142*T1^4*T2^9 + 14276*T1^5*T2^9 - 46974*T1^6*T2^9 + 33050*T1^7*T2^9 + 
      65954*T1^8*T2^9 - 119382*T1^9*T2^9 + 69426*T1^10*T2^9 + 
      21306*T1^11*T2^9 - 31204*T1^12*T2^9 + 8122*T1^13*T2^9 + 
      1027*T1^14*T2^9 - 608*T1^15*T2^9 - 40*T1^16*T2^9 - 29*T1^2*T2^10 + 
      231*T1^3*T2^10 + 1385*T1^4*T2^10 - 8394*T1^5*T2^10 + 9742*T1^6*T2^10 + 
      30066*T1^7*T2^10 - 92974*T1^8*T2^10 + 69426*T1^9*T2^10 + 
      12158*T1^10*T2^10 - 64494*T1^11*T2^10 + 29392*T1^12*T2^10 + 
      2046*T1^13*T2^10 - 4579*T1^14*T2^10 + 759*T1^15*T2^10 + 
      145*T1^16*T2^10 - 599*T1^4*T2^11 + 1247*T1^5*T2^11 + 5286*T1^6*T2^11 - 
      25564*T1^7*T2^11 + 30424*T1^8*T2^11 + 21306*T1^9*T2^11 - 
      64494*T1^10*T2^11 + 54184*T1^11*T2^11 - 2644*T1^12*T2^11 - 
      13254*T1^13*T2^11 + 5207*T1^14*T2^11 + T1^15*T2^11 - 300*T1^16*T2^11 + 
      75*T1^4*T2^12 + 361*T1^5*T2^12 - 2931*T1^6*T2^12 + 4950*T1^7*T2^12 + 
      6498*T1^8*T2^12 - 31204*T1^9*T2^12 + 29392*T1^10*T2^12 - 
      2644*T1^11*T2^12 - 21222*T1^12*T2^12 + 13830*T1^13*T2^12 - 
      1911*T1^14*T2^12 - 1079*T1^15*T2^12 + 375*T1^16*T2^12 - 
      120*T1^5*T2^13 + 263*T1^6*T2^13 + 1143*T1^7*T2^13 - 5812*T1^8*T2^13 + 
      8122*T1^9*T2^13 + 2046*T1^10*T2^13 - 13254*T1^11*T2^13 + 
      13830*T1^12*T2^13 - 3416*T1^13*T2^13 - 1989*T1^14*T2^13 + 
      1471*T1^15*T2^13 - 300*T1^16*T2^13 + 87*T1^6*T2^14 - 440*T1^7*T2^14 + 
      625*T1^8*T2^14 + 1027*T1^9*T2^14 - 4579*T1^10*T2^14 + 
      5207*T1^11*T2^14 - 1911*T1^12*T2^14 - 1989*T1^13*T2^14 + 
      2249*T1^14*T2^14 - 904*T1^15*T2^14 + 145*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 608*T1^9*T2^15 + 759*T1^10*T2^15 + T1^11*T2^15 - 
      1079*T1^12*T2^15 + 1471*T1^13*T2^15 - 904*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      145*T1^10*T2^16 - 300*T1^11*T2^16 + 375*T1^12*T2^16 - 300*T1^13*T2^16 + 
      145*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1097] -> 
  {((2 - 3*T + 2*T^2)*(8 - 15*T + 8*T^2))/T^2, 
   -((18032 - 60234*T1 + 85666*T1^2 - 60234*T1^3 + 18032*T1^4 - 60234*T2 + 
      155080*T1*T2 - 131840*T1^2*T2 - 18656*T1^3*T2 + 94600*T1^4*T2 - 
      46410*T1^5*T2 + 85666*T2^2 - 131840*T1*T2^2 - 63871*T1^2*T2^2 + 
      296813*T1^3*T2^2 - 214175*T1^4*T2^2 + 1216*T1^5*T2^2 + 
      46242*T1^6*T2^2 - 60234*T2^3 - 18656*T1*T2^3 + 296813*T1^2*T2^3 - 
      353748*T1^3*T2^3 + 9510*T1^4*T2^3 + 205337*T1^5*T2^3 - 
      92096*T1^6*T2^3 - 18762*T1^7*T2^3 + 18032*T2^4 + 94600*T1*T2^4 - 
      214175*T1^2*T2^4 + 9510*T1^3*T2^4 + 335364*T1^4*T2^4 - 
      290946*T1^5*T2^4 + 21905*T1^6*T2^4 + 56584*T1^7*T2^4 + 1648*T1^8*T2^4 - 
      46410*T1*T2^5 + 1216*T1^2*T2^5 + 205337*T1^3*T2^5 - 290946*T1^4*T2^5 + 
      72312*T1^5*T2^5 + 113861*T1^6*T2^5 - 72224*T1^7*T2^5 - 4938*T1^8*T2^5 + 
      46242*T1^2*T2^6 - 92096*T1^3*T2^6 + 21905*T1^4*T2^6 + 
      113861*T1^5*T2^6 - 128399*T1^6*T2^6 + 40960*T1^7*T2^6 + 
      6818*T1^8*T2^6 - 18762*T1^3*T2^7 + 56584*T1^4*T2^7 - 72224*T1^5*T2^7 + 
      40960*T1^6*T2^7 - 3896*T1^7*T2^7 - 4938*T1^8*T2^7 + 1648*T1^4*T2^8 - 
      4938*T1^5*T2^8 + 6818*T1^6*T2^8 - 4938*T1^7*T2^8 + 1648*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 1098] -> 
  {-((5 - 29*T + 68*T^2 - 89*T^3 + 68*T^4 - 29*T^5 + 5*T^6)/T^3), 
   -((-645 + 3705*T1 - 8625*T1^2 + 11267*T1^3 - 8625*T1^4 + 3705*T1^5 - 
      645*T1^6 + 3705*T2 - 18321*T1*T2 + 32534*T1^2*T2 - 25077*T1^3*T2 - 
      2312*T1^4*T2 + 18469*T1^5*T2 - 13391*T1^6*T2 + 2980*T1^7*T2 - 
      8625*T2^2 + 32534*T1*T2^2 - 23010*T1^2*T2^2 - 46763*T1^3*T2^2 + 
      112456*T1^4*T2^2 - 87563*T1^5*T2^2 + 19830*T1^6*T2^2 + 
      12814*T1^7*T2^2 - 5225*T1^8*T2^2 + 11267*T2^3 - 25077*T1*T2^3 - 
      46763*T1^2*T2^3 + 167049*T1^3*T2^3 - 171592*T1^4*T2^3 + 
      8517*T1^5*T2^3 + 101255*T1^6*T2^3 - 70495*T1^7*T2^3 + 3778*T1^8*T2^3 + 
      4592*T1^9*T2^3 - 8625*T2^4 - 2312*T1*T2^4 + 112456*T1^2*T2^4 - 
      171592*T1^3*T2^4 + 12985*T1^4*T2^4 + 229643*T1^5*T2^4 - 
      211055*T1^6*T2^4 + 32574*T1^7*T2^4 + 55238*T1^8*T2^4 - 
      15942*T1^9*T2^4 - 1825*T1^10*T2^4 + 3705*T2^5 + 18469*T1*T2^5 - 
      87563*T1^2*T2^5 + 8517*T1^3*T2^5 + 229643*T1^4*T2^5 - 
      327067*T1^5*T2^5 + 73895*T1^6*T2^5 + 149403*T1^7*T2^5 - 
      123478*T1^8*T2^5 + 4441*T1^9*T2^5 + 9914*T1^10*T2^5 + 80*T1^11*T2^5 - 
      645*T2^6 - 13391*T1*T2^6 + 19830*T1^2*T2^6 + 101255*T1^3*T2^6 - 
      211055*T1^4*T2^6 + 73895*T1^5*T2^6 + 231240*T1^6*T2^6 - 
      273403*T1^7*T2^6 + 82373*T1^8*T2^6 + 48465*T1^9*T2^6 - 
      21286*T1^10*T2^6 - 921*T1^11*T2^6 + 105*T1^12*T2^6 + 2980*T1*T2^7 + 
      12814*T1^2*T2^7 - 70495*T1^3*T2^7 + 32574*T1^4*T2^7 + 
      149403*T1^5*T2^7 - 273403*T1^6*T2^7 + 127559*T1^7*T2^7 + 
      69163*T1^8*T2^7 - 99421*T1^9*T2^7 + 21509*T1^10*T2^7 + 
      4259*T1^11*T2^7 - 645*T1^12*T2^7 - 5225*T1^2*T2^8 + 3778*T1^3*T2^8 + 
      55238*T1^4*T2^8 - 123478*T1^5*T2^8 + 82373*T1^6*T2^8 + 
      69163*T1^7*T2^8 - 141667*T1^8*T2^8 + 80688*T1^9*T2^8 - 
      1980*T1^10*T2^8 - 9852*T1^11*T2^8 + 1575*T1^12*T2^8 + 4592*T1^3*T2^9 - 
      15942*T1^4*T2^9 + 4441*T1^5*T2^9 + 48465*T1^6*T2^9 - 99421*T1^7*T2^9 + 
      80688*T1^8*T2^9 - 17329*T1^9*T2^9 - 19291*T1^10*T2^9 + 
      12913*T1^11*T2^9 - 2083*T1^12*T2^9 - 1825*T1^4*T2^10 + 
      9914*T1^5*T2^10 - 21286*T1^6*T2^10 + 21509*T1^7*T2^10 - 
      1980*T1^8*T2^10 - 19291*T1^9*T2^10 + 21554*T1^10*T2^10 - 
      9806*T1^11*T2^10 + 1575*T1^12*T2^10 + 80*T1^5*T2^11 - 921*T1^6*T2^11 + 
      4259*T1^7*T2^11 - 9852*T1^8*T2^11 + 12913*T1^9*T2^11 - 
      9806*T1^10*T2^11 + 4009*T1^11*T2^11 - 645*T1^12*T2^11 + 
      105*T1^6*T2^12 - 645*T1^7*T2^12 + 1575*T1^8*T2^12 - 2083*T1^9*T2^12 + 
      1575*T1^10*T2^12 - 645*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1099] -> 
  {(2 - 10*T + 27*T^2 - 44*T^3 + 51*T^4 - 44*T^5 + 27*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-15 + 76*T1 - 207*T1^2 + 340*T1^3 - 395*T1^4 + 340*T1^5 - 
     207*T1^6 + 76*T1^7 - 15*T1^8 + 76*T2 - 348*T1*T2 + 861*T1^2*T2 - 
     1210*T1^3*T2 + 1157*T1^4*T2 - 743*T1^5*T2 + 210*T1^6*T2 + 121*T1^7*T2 - 
     108*T1^8*T2 + 36*T1^9*T2 - 207*T2^2 + 861*T1*T2^2 - 1913*T1^2*T2^2 + 
     2134*T1^3*T2^2 - 1272*T1^4*T2^2 - 145*T1^5*T2^2 + 1320*T1^6*T2^2 - 
     1538*T1^7*T2^2 + 787*T1^8*T2^2 - 219*T1^9*T2^2 + 9*T1^10*T2^2 + 
     340*T2^3 - 1210*T1*T2^3 + 2134*T1^2*T2^3 - 906*T1^3*T2^3 - 
     1658*T1^4*T2^3 + 3475*T1^5*T2^3 - 3431*T1^6*T2^3 + 1408*T1^7*T2^3 + 
     1248*T1^8*T2^3 - 1754*T1^9*T2^3 + 890*T1^10*T2^3 - 188*T1^11*T2^3 - 
     395*T2^4 + 1157*T1*T2^4 - 1272*T1^2*T2^4 - 1658*T1^3*T2^4 + 
     4605*T1^4*T2^4 - 3840*T1^5*T2^4 + 539*T1^6*T2^4 + 3408*T1^7*T2^4 - 
     5323*T1^8*T2^4 + 2390*T1^9*T2^4 + 944*T1^10*T2^4 - 1163*T1^11*T2^4 + 
     421*T1^12*T2^4 + 340*T2^5 - 743*T1*T2^5 - 145*T1^2*T2^5 + 
     3475*T1^3*T2^5 - 3840*T1^4*T2^5 - 2844*T1^5*T2^5 + 8981*T1^6*T2^5 - 
     11529*T1^7*T2^5 + 8414*T1^8*T2^5 + 144*T1^9*T2^5 - 4219*T1^10*T2^5 + 
     899*T1^11*T2^5 + 597*T1^12*T2^5 - 540*T1^13*T2^5 - 207*T2^6 + 
     210*T1*T2^6 + 1320*T1^2*T2^6 - 3431*T1^3*T2^6 + 539*T1^4*T2^6 + 
     8981*T1^5*T2^6 - 9537*T1^6*T2^6 + 4199*T1^7*T2^6 + 4819*T1^8*T2^6 - 
     12671*T1^9*T2^6 + 8473*T1^10*T2^6 + 2293*T1^11*T2^6 - 2024*T1^12*T2^6 + 
     490*T1^13*T2^6 + 441*T1^14*T2^6 + 76*T2^7 + 121*T1*T2^7 - 
     1538*T1^2*T2^7 + 1408*T1^3*T2^7 + 3408*T1^4*T2^7 - 11529*T1^5*T2^7 + 
     4199*T1^6*T2^7 + 2236*T1^7*T2^7 - 6170*T1^8*T2^7 + 4439*T1^9*T2^7 + 
     6697*T1^10*T2^7 - 13632*T1^11*T2^7 + 2270*T1^12*T2^7 + 1054*T1^13*T2^7 - 
     1179*T1^14*T2^7 - 204*T1^15*T2^7 - 15*T2^8 - 108*T1*T2^8 + 
     787*T1^2*T2^8 + 1248*T1^3*T2^8 - 5323*T1^4*T2^8 + 8414*T1^5*T2^8 + 
     4819*T1^6*T2^8 - 6170*T1^7*T2^8 + 3588*T1^8*T2^8 + 2294*T1^9*T2^8 - 
     9481*T1^10*T2^8 + 6102*T1^11*T2^8 + 9921*T1^12*T2^8 - 5376*T1^13*T2^8 + 
     1483*T1^14*T2^8 + 772*T1^15*T2^8 + 49*T1^16*T2^8 + 36*T1*T2^9 - 
     219*T1^2*T2^9 - 1754*T1^3*T2^9 + 2390*T1^4*T2^9 + 144*T1^5*T2^9 - 
     12671*T1^6*T2^9 + 4439*T1^7*T2^9 + 2294*T1^8*T2^9 - 6112*T1^9*T2^9 + 
     4679*T1^10*T2^9 + 5555*T1^11*T2^9 - 16896*T1^12*T2^9 + 3252*T1^13*T2^9 + 
     838*T1^14*T2^9 - 1519*T1^15*T2^9 - 244*T1^16*T2^9 + 9*T1^2*T2^10 + 
     890*T1^3*T2^10 + 944*T1^4*T2^10 - 4219*T1^5*T2^10 + 8473*T1^6*T2^10 + 
     6697*T1^7*T2^10 - 9481*T1^8*T2^10 + 4679*T1^9*T2^10 + 4875*T1^10*T2^10 - 
     14955*T1^11*T2^10 + 16407*T1^12*T2^10 + 1505*T1^13*T2^10 - 
     2400*T1^14*T2^10 + 1170*T1^15*T2^10 + 657*T1^16*T2^10 - 188*T1^3*T2^11 - 
     1163*T1^4*T2^11 + 899*T1^5*T2^11 + 2293*T1^6*T2^11 - 13632*T1^7*T2^11 + 
     6102*T1^8*T2^11 + 5555*T1^9*T2^11 - 14955*T1^10*T2^11 + 
     17360*T1^11*T2^11 - 9648*T1^12*T2^11 - 5401*T1^13*T2^11 + 
     1943*T1^14*T2^11 + 177*T1^15*T2^11 - 1068*T1^16*T2^11 + 421*T1^4*T2^12 + 
     597*T1^5*T2^12 - 2024*T1^6*T2^12 + 2270*T1^7*T2^12 + 9921*T1^8*T2^12 - 
     16896*T1^9*T2^12 + 16407*T1^10*T2^12 - 9648*T1^11*T2^12 - 
     7*T1^12*T2^12 + 6318*T1^13*T2^12 + 192*T1^14*T2^12 - 1723*T1^15*T2^12 + 
     1237*T1^16*T2^12 - 540*T1^5*T2^13 + 490*T1^6*T2^13 + 1054*T1^7*T2^13 - 
     5376*T1^8*T2^13 + 3252*T1^9*T2^13 + 1505*T1^10*T2^13 - 
     5401*T1^11*T2^13 + 6318*T1^12*T2^13 - 3222*T1^13*T2^13 - 
     2834*T1^14*T2^13 + 2590*T1^15*T2^13 - 1068*T1^16*T2^13 + 
     441*T1^6*T2^14 - 1179*T1^7*T2^14 + 1483*T1^8*T2^14 + 838*T1^9*T2^14 - 
     2400*T1^10*T2^14 + 1943*T1^11*T2^14 + 192*T1^12*T2^14 - 
     2834*T1^13*T2^14 + 4183*T1^14*T2^14 - 2259*T1^15*T2^14 + 
     657*T1^16*T2^14 - 204*T1^7*T2^15 + 772*T1^8*T2^15 - 1519*T1^9*T2^15 + 
     1170*T1^10*T2^15 + 177*T1^11*T2^15 - 1723*T1^12*T2^15 + 
     2590*T1^13*T2^15 - 2259*T1^14*T2^15 + 1012*T1^15*T2^15 - 
     244*T1^16*T2^15 + 49*T1^8*T2^16 - 244*T1^9*T2^16 + 657*T1^10*T2^16 - 
     1068*T1^11*T2^16 + 1237*T1^12*T2^16 - 1068*T1^13*T2^16 + 
     657*T1^14*T2^16 - 244*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1100] -> 
  {((1 - T + T^2)^2*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^4, 
   (-31 + 172*T1 - 486*T1^2 + 848*T1^3 - 1021*T1^4 + 848*T1^5 - 486*T1^6 + 
     172*T1^7 - 31*T1^8 + 172*T2 - 826*T1*T2 + 1984*T1^2*T2 - 2690*T1^3*T2 + 
     2148*T1^4*T2 - 470*T1^5*T2 - 820*T1^6*T2 + 1060*T1^7*T2 - 540*T1^8*T2 + 
     128*T1^9*T2 - 486*T2^2 + 1984*T1*T2^2 - 3894*T1^2*T2^2 + 
     3397*T1^3*T2^2 - 146*T1^4*T2^2 - 3770*T1^5*T2^2 + 4070*T1^6*T2^2 - 
     1935*T1^7*T2^2 - 298*T1^8*T2^2 + 620*T1^9*T2^2 - 238*T1^10*T2^2 + 
     848*T2^3 - 2690*T1*T2^3 + 3397*T1^2*T2^3 + 1375*T1^3*T2^3 - 
     7682*T1^4*T2^3 + 9915*T1^5*T2^3 - 3124*T1^6*T2^3 - 3321*T1^7*T2^3 + 
     5197*T1^8*T2^3 - 2214*T1^9*T2^3 + 192*T1^10*T2^3 + 200*T1^11*T2^3 - 
     1021*T2^4 + 2148*T1*T2^4 - 146*T1^2*T2^4 - 7682*T1^3*T2^4 + 
     9945*T1^4*T2^4 - 2067*T1^5*T2^4 - 13509*T1^6*T2^4 + 15965*T1^7*T2^4 - 
     8379*T1^8*T2^4 - 1310*T1^9*T2^4 + 2906*T1^10*T2^4 - 1196*T1^11*T2^4 + 
     19*T1^12*T2^4 + 848*T2^5 - 470*T1*T2^5 - 3770*T1^2*T2^5 + 
     9915*T1^3*T2^5 - 2067*T1^4*T2^5 - 14819*T1^5*T2^5 + 26901*T1^6*T2^5 - 
     12660*T1^7*T2^5 - 5309*T1^8*T2^5 + 12645*T1^9*T2^5 - 5658*T1^10*T2^5 - 
     263*T1^11*T2^5 + 1180*T1^12*T2^5 - 232*T1^13*T2^5 - 486*T2^6 - 
     820*T1*T2^6 + 4070*T1^2*T2^6 - 3124*T1^3*T2^6 - 13509*T1^4*T2^6 + 
     26901*T1^5*T2^6 - 19264*T1^6*T2^6 - 12148*T1^7*T2^6 + 26376*T1^8*T2^6 - 
     16789*T1^9*T2^6 - 763*T1^10*T2^6 + 6114*T1^11*T2^6 - 2474*T1^12*T2^6 - 
     160*T1^13*T2^6 + 258*T1^14*T2^6 + 172*T2^7 + 1060*T1*T2^7 - 
     1935*T1^2*T2^7 - 3321*T1^3*T2^7 + 15965*T1^4*T2^7 - 12660*T1^5*T2^7 - 
     12148*T1^6*T2^7 + 35891*T1^7*T2^7 - 24537*T1^8*T2^7 - 4764*T1^9*T2^7 + 
     18643*T1^10*T2^7 - 12027*T1^11*T2^7 + 362*T1^12*T2^7 + 2002*T1^13*T2^7 - 
     656*T1^14*T2^7 - 136*T1^15*T2^7 - 31*T2^8 - 540*T1*T2^8 - 
     298*T1^2*T2^8 + 5197*T1^3*T2^8 - 8379*T1^4*T2^8 - 5309*T1^5*T2^8 + 
     26376*T1^6*T2^8 - 24537*T1^7*T2^8 - 4608*T1^8*T2^8 + 29161*T1^9*T2^8 - 
     20440*T1^10*T2^8 + 1705*T1^11*T2^8 + 9509*T1^12*T2^8 - 4645*T1^13*T2^8 + 
     396*T1^14*T2^8 + 560*T1^15*T2^8 + 33*T1^16*T2^8 + 128*T1*T2^9 + 
     620*T1^2*T2^9 - 2214*T1^3*T2^9 - 1310*T1^4*T2^9 + 12645*T1^5*T2^9 - 
     16789*T1^6*T2^9 - 4764*T1^7*T2^9 + 29161*T1^8*T2^9 - 31267*T1^9*T2^9 + 
     2620*T1^10*T2^9 + 14514*T1^11*T2^9 - 15347*T1^12*T2^9 + 
     2373*T1^13*T2^9 + 1723*T1^14*T2^9 - 1096*T1^15*T2^9 - 180*T1^16*T2^9 - 
     238*T1^2*T2^10 + 192*T1^3*T2^10 + 2906*T1^4*T2^10 - 5658*T1^5*T2^10 - 
     763*T1^6*T2^10 + 18643*T1^7*T2^10 - 20440*T1^8*T2^10 + 2620*T1^9*T2^10 + 
     25200*T1^10*T2^10 - 25047*T1^11*T2^10 + 11983*T1^12*T2^10 + 
     3580*T1^13*T2^10 - 3638*T1^14*T2^10 + 852*T1^15*T2^10 + 
     506*T1^16*T2^10 + 200*T1^3*T2^11 - 1196*T1^4*T2^11 - 263*T1^5*T2^11 + 
     6114*T1^6*T2^11 - 12027*T1^7*T2^11 + 1705*T1^8*T2^11 + 
     14514*T1^9*T2^11 - 25047*T1^10*T2^11 + 11215*T1^11*T2^11 + 
     2685*T1^12*T2^11 - 9459*T1^13*T2^11 + 3244*T1^14*T2^11 + 
     454*T1^15*T2^11 - 880*T1^16*T2^11 + 19*T1^4*T2^12 + 1180*T1^5*T2^12 - 
     2474*T1^6*T2^12 + 362*T1^7*T2^12 + 9509*T1^8*T2^12 - 15347*T1^9*T2^12 + 
     11983*T1^10*T2^12 + 2685*T1^11*T2^12 - 8815*T1^12*T2^12 + 
     6734*T1^13*T2^12 + 578*T1^14*T2^12 - 2164*T1^15*T2^12 + 
     1059*T1^16*T2^12 - 232*T1^5*T2^13 - 160*T1^6*T2^13 + 2002*T1^7*T2^13 - 
     4645*T1^8*T2^13 + 2373*T1^9*T2^13 + 3580*T1^10*T2^13 - 
     9459*T1^11*T2^13 + 6734*T1^12*T2^13 - 823*T1^13*T2^13 - 
     3609*T1^14*T2^13 + 2722*T1^15*T2^13 - 880*T1^16*T2^13 + 258*T1^6*T2^14 - 
     656*T1^7*T2^14 + 396*T1^8*T2^14 + 1723*T1^9*T2^14 - 3638*T1^10*T2^14 + 
     3244*T1^11*T2^14 + 578*T1^12*T2^14 - 3609*T1^13*T2^14 + 
     3992*T1^14*T2^14 - 2020*T1^15*T2^14 + 506*T1^16*T2^14 - 136*T1^7*T2^15 + 
     560*T1^8*T2^15 - 1096*T1^9*T2^15 + 852*T1^10*T2^15 + 454*T1^11*T2^15 - 
     2164*T1^12*T2^15 + 2722*T1^13*T2^15 - 2020*T1^14*T2^15 + 
     846*T1^15*T2^15 - 180*T1^16*T2^15 + 33*T1^8*T2^16 - 180*T1^9*T2^16 + 
     506*T1^10*T2^16 - 880*T1^11*T2^16 + 1059*T1^12*T2^16 - 880*T1^13*T2^16 + 
     506*T1^14*T2^16 - 180*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1101] -> 
  {(2 - 11*T + 30*T^2 - 48*T^3 + 55*T^4 - 48*T^5 + 30*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-15 + 84*T1 - 231*T1^2 + 372*T1^3 - 427*T1^4 + 372*T1^5 - 
     231*T1^6 + 84*T1^7 - 15*T1^8 + 84*T2 - 430*T1*T2 + 1065*T1^2*T2 - 
     1449*T1^3*T2 + 1364*T1^4*T2 - 902*T1^5*T2 + 267*T1^6*T2 + 163*T1^7*T2 - 
     144*T1^8*T2 + 40*T1^9*T2 - 231*T2^2 + 1065*T1*T2^2 - 2276*T1^2*T2^2 + 
     2209*T1^3*T2^2 - 947*T1^4*T2^2 - 698*T1^5*T2^2 + 2053*T1^6*T2^2 - 
     2231*T1^7*T2^2 + 1084*T1^8*T2^2 - 255*T1^9*T2^2 + 9*T1^10*T2^2 + 
     372*T2^3 - 1449*T1*T2^3 + 2209*T1^2*T2^3 + 260*T1^3*T2^3 - 
     3869*T1^4*T2^3 + 5868*T1^5*T2^3 - 5658*T1^6*T2^3 + 2863*T1^7*T2^3 + 
     1130*T1^8*T2^3 - 2141*T1^9*T2^3 + 1059*T1^10*T2^3 - 204*T1^11*T2^3 - 
     427*T2^4 + 1364*T1*T2^4 - 947*T1^2*T2^4 - 3869*T1^3*T2^4 + 
     7345*T1^4*T2^4 - 5161*T1^5*T2^4 + 527*T1^6*T2^4 + 4959*T1^7*T2^4 - 
     8407*T1^8*T2^4 + 4579*T1^9*T2^4 + 637*T1^10*T2^4 - 1364*T1^11*T2^4 + 
     453*T1^12*T2^4 + 372*T2^5 - 902*T1*T2^5 - 698*T1^2*T2^5 + 
     5868*T1^3*T2^5 - 5161*T1^4*T2^5 - 4697*T1^5*T2^5 + 11676*T1^6*T2^5 - 
     14754*T1^7*T2^5 + 11833*T1^8*T2^5 + 149*T1^9*T2^5 - 6822*T1^10*T2^5 + 
     1987*T1^11*T2^5 + 748*T1^12*T2^5 - 588*T1^13*T2^5 - 231*T2^6 + 
     267*T1*T2^6 + 2053*T1^2*T2^6 - 5658*T1^3*T2^6 + 527*T1^4*T2^6 + 
     11676*T1^5*T2^6 - 10408*T1^6*T2^6 + 5016*T1^7*T2^6 + 4028*T1^8*T2^6 - 
     15768*T1^9*T2^6 + 11351*T1^10*T2^6 + 4122*T1^11*T2^6 - 3779*T1^12*T2^6 + 
     531*T1^13*T2^6 + 489*T1^14*T2^6 + 84*T2^7 + 163*T1*T2^7 - 
     2231*T1^2*T2^7 + 2863*T1^3*T2^7 + 4959*T1^4*T2^7 - 14754*T1^5*T2^7 + 
     5016*T1^6*T2^7 - 1256*T1^7*T2^7 - 1864*T1^8*T2^7 + 3696*T1^9*T2^7 + 
     9648*T1^10*T2^7 - 19591*T1^11*T2^7 + 2995*T1^12*T2^7 + 2659*T1^13*T2^7 - 
     1443*T1^14*T2^7 - 224*T1^15*T2^7 - 15*T2^8 - 144*T1*T2^8 + 
     1084*T1^2*T2^8 + 1130*T1^3*T2^8 - 8407*T1^4*T2^8 + 11833*T1^5*T2^8 + 
     4028*T1^6*T2^8 - 1864*T1^7*T2^8 + 996*T1^8*T2^8 + 112*T1^9*T2^8 - 
     9556*T1^10*T2^8 + 6451*T1^11*T2^8 + 15817*T1^12*T2^8 - 9010*T1^13*T2^8 + 
     1258*T1^14*T2^8 + 956*T1^15*T2^8 + 49*T1^16*T2^8 + 40*T1*T2^9 - 
     255*T1^2*T2^9 - 2141*T1^3*T2^9 + 4579*T1^4*T2^9 + 149*T1^5*T2^9 - 
     15768*T1^6*T2^9 + 3696*T1^7*T2^9 + 112*T1^8*T2^9 - 496*T1^9*T2^9 + 
     2376*T1^10*T2^9 + 8634*T1^11*T2^9 - 24401*T1^12*T2^9 + 4711*T1^13*T2^9 + 
     2749*T1^14*T2^9 - 1861*T1^15*T2^9 - 268*T1^16*T2^9 + 9*T1^2*T2^10 + 
     1059*T1^3*T2^10 + 637*T1^4*T2^10 - 6822*T1^5*T2^10 + 11351*T1^6*T2^10 + 
     9648*T1^7*T2^10 - 9556*T1^8*T2^10 + 2376*T1^9*T2^10 + 4880*T1^10*T2^10 - 
     17796*T1^11*T2^10 + 22175*T1^12*T2^10 + 2958*T1^13*T2^10 - 
     5195*T1^14*T2^10 + 1323*T1^15*T2^10 + 729*T1^16*T2^10 - 204*T1^3*T2^11 - 
     1364*T1^4*T2^11 + 1987*T1^5*T2^11 + 4122*T1^6*T2^11 - 19591*T1^7*T2^11 + 
     6451*T1^8*T2^11 + 8634*T1^9*T2^11 - 17796*T1^10*T2^11 + 
     22981*T1^11*T2^11 - 14281*T1^12*T2^11 - 8568*T1^13*T2^11 + 
     4672*T1^14*T2^11 + 286*T1^15*T2^11 - 1164*T1^16*T2^11 + 453*T1^4*T2^12 + 
     748*T1^5*T2^12 - 3779*T1^6*T2^12 + 2995*T1^7*T2^12 + 15817*T1^8*T2^12 - 
     24401*T1^9*T2^12 + 22175*T1^10*T2^12 - 14281*T1^11*T2^12 + 
     65*T1^12*T2^12 + 11443*T1^13*T2^12 - 2195*T1^14*T2^12 - 
     1980*T1^15*T2^12 + 1333*T1^16*T2^12 - 588*T1^5*T2^13 + 531*T1^6*T2^13 + 
     2659*T1^7*T2^13 - 9010*T1^8*T2^13 + 4711*T1^9*T2^13 + 2958*T1^10*T2^13 - 
     8568*T1^11*T2^13 + 11443*T1^12*T2^13 - 8140*T1^13*T2^13 - 
     1691*T1^14*T2^13 + 3039*T1^15*T2^13 - 1164*T1^16*T2^13 + 
     489*T1^6*T2^14 - 1443*T1^7*T2^14 + 1258*T1^8*T2^14 + 2749*T1^9*T2^14 - 
     5195*T1^10*T2^14 + 4672*T1^11*T2^14 - 2195*T1^12*T2^14 - 
     1691*T1^13*T2^14 + 4618*T1^14*T2^14 - 2763*T1^15*T2^14 + 
     729*T1^16*T2^14 - 224*T1^7*T2^15 + 956*T1^8*T2^15 - 1861*T1^9*T2^15 + 
     1323*T1^10*T2^15 + 286*T1^11*T2^15 - 1980*T1^12*T2^15 + 
     3039*T1^13*T2^15 - 2763*T1^14*T2^15 + 1242*T1^15*T2^15 - 
     268*T1^16*T2^15 + 49*T1^8*T2^16 - 268*T1^9*T2^16 + 729*T1^10*T2^16 - 
     1164*T1^11*T2^16 + 1333*T1^12*T2^16 - 1164*T1^13*T2^16 + 
     729*T1^14*T2^16 - 268*T1^15*T2^16 + 49*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1102] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 14*T^2 - 21*T^3 + 14*T^4 - 5*T^5 + T^6))/T^4, 
   (4*(1 - 3*T1 + T1^2)*(1 - 5*T1 + 14*T1^2 - 21*T1^3 + 14*T1^4 - 5*T1^5 + 
      T1^6)*(1 + T1*T2)*(1 - 3*T2 + T2^2)*(1 - 5*T2 + 14*T2^2 - 21*T2^3 + 
      14*T2^4 - 5*T2^5 + T2^6)*(1 - 6*T1*T2 + 16*T1^2*T2^2 - 23*T1^3*T2^3 + 
      16*T1^4*T2^4 - 6*T1^5*T2^5 + T1^6*T2^6))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 1103] -> 
  {((4 - 7*T + 4*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-112 + 536*T1 - 1276*T1^2 + 1680*T1^3 - 1276*T1^4 + 536*T1^5 - 112*T1^6 + 
     536*T2 - 2328*T1*T2 + 4975*T1^2*T2 - 5347*T1^3*T2 + 2557*T1^4*T2 + 
     111*T1^5*T2 - 580*T1^6*T2 + 232*T1^7*T2 - 1276*T2^2 + 4975*T1*T2^2 - 
     9022*T1^2*T2^2 + 5718*T1^3*T2^2 + 3846*T1^4*T2^2 - 8682*T1^5*T2^2 + 
     5738*T1^6*T2^2 - 1865*T1^7*T2^2 + 164*T1^8*T2^2 + 1680*T2^3 - 
     5347*T1*T2^3 + 5718*T1^2*T2^3 + 7305*T1^3*T2^3 - 23490*T1^4*T2^3 + 
     20118*T1^5*T2^3 - 2811*T1^6*T2^3 - 6477*T1^7*T2^3 + 4685*T1^8*T2^3 - 
     1152*T1^9*T2^3 - 1276*T2^4 + 2557*T1*T2^4 + 3846*T1^2*T2^4 - 
     23490*T1^3*T2^4 + 33199*T1^4*T2^4 - 5297*T1^5*T2^4 - 26961*T1^6*T2^4 + 
     25952*T1^7*T2^4 - 6352*T1^8*T2^4 - 2155*T1^9*T2^4 + 1604*T1^10*T2^4 + 
     536*T2^5 + 111*T1*T2^5 - 8682*T1^2*T2^5 + 20118*T1^3*T2^5 - 
     5297*T1^4*T2^5 - 49624*T1^5*T2^5 + 71076*T1^6*T2^5 - 30722*T1^7*T2^5 - 
     11822*T1^8*T2^5 + 12333*T1^9*T2^5 - 2929*T1^10*T2^5 - 984*T1^11*T2^5 - 
     112*T2^6 - 580*T1*T2^6 + 5738*T1^2*T2^6 - 2811*T1^3*T2^6 - 
     26961*T1^4*T2^6 + 71076*T1^5*T2^6 - 42192*T1^6*T2^6 - 33544*T1^7*T2^6 + 
     58213*T1^8*T2^6 - 20445*T1^9*T2^6 - 1178*T1^10*T2^6 + 3372*T1^11*T2^6 + 
     272*T1^12*T2^6 + 232*T1*T2^7 - 1865*T1^2*T2^7 - 6477*T1^3*T2^7 + 
     25952*T1^4*T2^7 - 30722*T1^5*T2^7 - 33544*T1^6*T2^7 + 87156*T1^7*T2^7 - 
     56147*T1^8*T2^7 - 5988*T1^9*T2^7 + 14538*T1^10*T2^7 - 4905*T1^11*T2^7 - 
     1288*T1^12*T2^7 + 164*T1^2*T2^8 + 4685*T1^3*T2^8 - 6352*T1^4*T2^8 - 
     11822*T1^5*T2^8 + 58213*T1^6*T2^8 - 56147*T1^7*T2^8 - 1947*T1^8*T2^8 + 
     37620*T1^9*T2^8 - 16550*T1^10*T2^8 - 27*T1^11*T2^8 + 3044*T1^12*T2^8 - 
     1152*T1^3*T2^9 - 2155*T1^4*T2^9 + 12333*T1^5*T2^9 - 20445*T1^6*T2^9 - 
     5988*T1^7*T2^9 + 37620*T1^8*T2^9 - 30561*T1^9*T2^9 + 138*T1^10*T2^9 + 
     7877*T1^11*T2^9 - 3984*T1^12*T2^9 + 1604*T1^4*T2^10 - 2929*T1^5*T2^10 - 
     1178*T1^6*T2^10 + 14538*T1^7*T2^10 - 16550*T1^8*T2^10 + 138*T1^9*T2^10 + 
     13582*T1^10*T2^10 - 9769*T1^11*T2^10 + 3044*T1^12*T2^10 - 
     984*T1^5*T2^11 + 3372*T1^6*T2^11 - 4905*T1^7*T2^11 - 27*T1^8*T2^11 + 
     7877*T1^9*T2^11 - 9769*T1^10*T2^11 + 5120*T1^11*T2^11 - 
     1288*T1^12*T2^11 + 272*T1^6*T2^12 - 1288*T1^7*T2^12 + 3044*T1^8*T2^12 - 
     3984*T1^9*T2^12 + 3044*T1^10*T2^12 - 1288*T1^11*T2^12 + 272*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1104] -> 
  {-((1 - 8*T + 25*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 25*T^6 - 8*T^7 + T^8)/
     T^4), -((-3 + 24*T1 - 75*T1^2 + 138*T1^3 - 165*T1^4 + 138*T1^5 - 
      75*T1^6 + 24*T1^7 - 3*T1^8 + 24*T2 - 176*T1*T2 + 472*T1^2*T2 - 
      705*T1^3*T2 + 585*T1^4*T2 - 223*T1^5*T2 - 137*T1^6*T2 + 208*T1^7*T2 - 
      104*T1^8*T2 + 16*T1^9*T2 - 75*T2^2 + 472*T1*T2^2 - 877*T1^2*T2^2 + 
      466*T1^3*T2^2 + 1109*T1^4*T2^2 - 2411*T1^5*T2^2 + 2609*T1^6*T2^2 - 
      1434*T1^7*T2^2 + 323*T1^8*T2^2 + 72*T1^9*T2^2 - 25*T1^10*T2^2 + 
      138*T2^3 - 705*T1*T2^3 + 466*T1^2*T2^3 + 1944*T1^3*T2^3 - 
      5657*T1^4*T2^3 + 6380*T1^5*T2^3 - 4022*T1^6*T2^3 - 151*T1^7*T2^3 + 
      1830*T1^8*T2^3 - 1184*T1^9*T2^3 + 199*T1^10*T2^3 - 165*T2^4 + 
      585*T1*T2^4 + 1109*T1^2*T2^4 - 5657*T1^3*T2^4 + 9404*T1^4*T2^4 - 
      5523*T1^5*T2^4 - 1832*T1^6*T2^4 + 8197*T1^7*T2^4 - 6684*T1^8*T2^4 + 
      1887*T1^9*T2^4 + 721*T1^10*T2^4 - 439*T1^11*T2^4 + 55*T1^12*T2^4 + 
      138*T2^5 - 223*T1*T2^5 - 2411*T1^2*T2^5 + 6380*T1^3*T2^5 - 
      5523*T1^4*T2^5 - 5588*T1^5*T2^5 + 14737*T1^6*T2^5 - 15283*T1^7*T2^5 + 
      3712*T1^8*T2^5 + 5917*T1^9*T2^5 - 5690*T1^10*T2^5 + 1249*T1^11*T2^5 + 
      297*T1^12*T2^5 - 92*T1^13*T2^5 - 75*T2^6 - 137*T1*T2^6 + 
      2609*T1^2*T2^6 - 4022*T1^3*T2^6 - 1832*T1^4*T2^6 + 14737*T1^5*T2^6 - 
      16211*T1^6*T2^6 + 3855*T1^7*T2^6 + 13953*T1^8*T2^6 - 17175*T1^9*T2^6 + 
      4706*T1^10*T2^6 + 3878*T1^11*T2^6 - 2667*T1^12*T2^6 + 135*T1^13*T2^6 + 
      75*T1^14*T2^6 + 24*T2^7 + 208*T1*T2^7 - 1434*T1^2*T2^7 - 
      151*T1^3*T2^7 + 8197*T1^4*T2^7 - 15283*T1^5*T2^7 + 3855*T1^6*T2^7 + 
      17170*T1^7*T2^7 - 25906*T1^8*T2^7 + 11735*T1^9*T2^7 + 
      10953*T1^10*T2^7 - 12363*T1^11*T2^7 + 2495*T1^12*T2^7 + 
      1716*T1^13*T2^7 - 344*T1^14*T2^7 - 32*T1^15*T2^7 - 3*T2^8 - 
      104*T1*T2^8 + 323*T1^2*T2^8 + 1830*T1^3*T2^8 - 6684*T1^4*T2^8 + 
      3712*T1^5*T2^8 + 13953*T1^6*T2^8 - 25906*T1^7*T2^8 + 10728*T1^8*T2^8 + 
      15206*T1^9*T2^8 - 29327*T1^10*T2^8 + 11032*T1^11*T2^8 + 
      4736*T1^12*T2^8 - 4706*T1^13*T2^8 - 49*T1^14*T2^8 + 216*T1^15*T2^8 + 
      5*T1^16*T2^8 + 16*T1*T2^9 + 72*T1^2*T2^9 - 1184*T1^3*T2^9 + 
      1887*T1^4*T2^9 + 5917*T1^5*T2^9 - 17175*T1^6*T2^9 + 11735*T1^7*T2^9 + 
      15206*T1^8*T2^9 - 27870*T1^9*T2^9 + 19615*T1^10*T2^9 + 
      9061*T1^11*T2^9 - 14643*T1^12*T2^9 + 4533*T1^13*T2^9 + 
      1966*T1^14*T2^9 - 480*T1^15*T2^9 - 40*T1^16*T2^9 - 25*T1^2*T2^10 + 
      199*T1^3*T2^10 + 721*T1^4*T2^10 - 5690*T1^5*T2^10 + 4706*T1^6*T2^10 + 
      10953*T1^7*T2^10 - 29327*T1^8*T2^10 + 19615*T1^9*T2^10 + 
      837*T1^10*T2^10 - 20959*T1^11*T2^10 + 11244*T1^12*T2^10 + 
      2210*T1^13*T2^10 - 4555*T1^14*T2^10 + 471*T1^15*T2^10 + 
      125*T1^16*T2^10 - 439*T1^4*T2^11 + 1249*T1^5*T2^11 + 3878*T1^6*T2^11 - 
      12363*T1^7*T2^11 + 11032*T1^8*T2^11 + 9061*T1^9*T2^11 - 
      20959*T1^10*T2^11 + 20332*T1^11*T2^11 - 923*T1^12*T2^11 - 
      8192*T1^13*T2^11 + 4909*T1^14*T2^11 + 81*T1^15*T2^11 - 
      230*T1^16*T2^11 + 55*T1^4*T2^12 + 297*T1^5*T2^12 - 2667*T1^6*T2^12 + 
      2495*T1^7*T2^12 + 4736*T1^8*T2^12 - 14643*T1^9*T2^12 + 
      11244*T1^10*T2^12 - 923*T1^11*T2^12 - 11352*T1^12*T2^12 + 
      10039*T1^13*T2^12 - 3055*T1^14*T2^12 - 727*T1^15*T2^12 + 
      275*T1^16*T2^12 - 92*T1^5*T2^13 + 135*T1^6*T2^13 + 1716*T1^7*T2^13 - 
      4706*T1^8*T2^13 + 4533*T1^9*T2^13 + 2210*T1^10*T2^13 - 
      8192*T1^11*T2^13 + 10039*T1^12*T2^13 - 4820*T1^13*T2^13 + 
      66*T1^14*T2^13 + 1039*T1^15*T2^13 - 230*T1^16*T2^13 + 75*T1^6*T2^14 - 
      344*T1^7*T2^14 - 49*T1^8*T2^14 + 1966*T1^9*T2^14 - 4555*T1^10*T2^14 + 
      4909*T1^11*T2^14 - 3055*T1^12*T2^14 + 66*T1^13*T2^14 + 
      1151*T1^14*T2^14 - 744*T1^15*T2^14 + 125*T1^16*T2^14 - 32*T1^7*T2^15 + 
      216*T1^8*T2^15 - 480*T1^9*T2^15 + 471*T1^10*T2^15 + 81*T1^11*T2^15 - 
      727*T1^12*T2^15 + 1039*T1^13*T2^15 - 744*T1^14*T2^15 + 
      288*T1^15*T2^15 - 40*T1^16*T2^15 + 5*T1^8*T2^16 - 40*T1^9*T2^16 + 
      125*T1^10*T2^16 - 230*T1^11*T2^16 + 275*T1^12*T2^16 - 230*T1^13*T2^16 + 
      125*T1^14*T2^16 - 40*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1105] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)^2/T^4, 
   (4*(1 - 4*T1 + 7*T1^2 - 4*T1^3 + T1^4)^2*(-1 + T1*T2)^2*(1 + T1*T2)*
     (1 - 4*T2 + 7*T2^2 - 4*T2^3 + T2^4)^2*(1 - 4*T1*T2 + 7*T1^2*T2^2 - 
      4*T1^3*T2^3 + T1^4*T2^4))/(T1^9*T2^8)}, Knot[12, Alternating, 1106] -> 
  {-((3 - 18*T + 48*T^2 - 67*T^3 + 48*T^4 - 18*T^5 + 3*T^6)/T^3), 
   -((-84 + 507*T1 - 1360*T1^2 + 1904*T1^3 - 1360*T1^4 + 507*T1^5 - 84*T1^6 + 
      507*T2 - 2716*T1*T2 + 6123*T1^2*T2 - 5877*T1^3*T2 + 333*T1^4*T2 + 
      2559*T1^5*T2 - 1582*T1^6*T2 + 345*T1^7*T2 - 1360*T2^2 + 6123*T1*T2^2 - 
      9907*T1^2*T2^2 - 106*T1^3*T2^2 + 17461*T1^4*T2^2 - 14218*T1^5*T2^2 + 
      3053*T1^6*T2^2 + 939*T1^7*T2^2 - 496*T1^8*T2^2 + 1904*T2^3 - 
      5877*T1*T2^3 - 106*T1^2*T2^3 + 30131*T1^3*T2^3 - 48423*T1^4*T2^3 + 
      11139*T1^5*T2^3 + 15317*T1^6*T2^3 - 10906*T1^7*T2^3 + 2385*T1^8*T2^3 + 
      95*T1^9*T2^3 - 1360*T2^4 + 333*T1*T2^4 + 17461*T1^2*T2^4 - 
      48423*T1^3*T2^4 + 26098*T1^4*T2^4 + 59452*T1^5*T2^4 - 66170*T1^6*T2^4 + 
      21525*T1^7*T2^4 + 1693*T1^8*T2^4 - 2799*T1^9*T2^4 + 368*T1^10*T2^4 + 
      507*T2^5 + 2559*T1*T2^5 - 14218*T1^2*T2^5 + 11139*T1^3*T2^5 + 
      59452*T1^4*T2^5 - 135496*T1^5*T2^5 + 68942*T1^6*T2^5 + 
      15676*T1^7*T2^5 - 27651*T1^8*T2^5 + 9830*T1^9*T2^5 - 357*T1^10*T2^5 - 
      303*T1^11*T2^5 - 84*T2^6 - 1582*T1*T2^6 + 3053*T1^2*T2^6 + 
      15317*T1^3*T2^6 - 66170*T1^4*T2^6 + 68942*T1^5*T2^6 + 41616*T1^6*T2^6 - 
      99502*T1^7*T2^6 + 56950*T1^8*T2^6 - 9037*T1^9*T2^6 - 3859*T1^10*T2^6 + 
      1334*T1^11*T2^6 + 78*T1^12*T2^6 + 345*T1*T2^7 + 939*T1^2*T2^7 - 
      10906*T1^3*T2^7 + 21525*T1^4*T2^7 + 15676*T1^5*T2^7 - 99502*T1^6*T2^7 + 
      104936*T1^7*T2^7 - 28100*T1^8*T2^7 - 17265*T1^9*T2^7 + 
      13142*T1^10*T2^7 - 1977*T1^11*T2^7 - 465*T1^12*T2^7 - 496*T1^2*T2^8 + 
      2385*T1^3*T2^8 + 1693*T1^4*T2^8 - 27651*T1^5*T2^8 + 56950*T1^6*T2^8 - 
      28100*T1^7*T2^8 - 35318*T1^8*T2^8 + 42297*T1^9*T2^8 - 
      14075*T1^10*T2^8 - 747*T1^11*T2^8 + 1232*T1^12*T2^8 + 95*T1^3*T2^9 - 
      2799*T1^4*T2^9 + 9830*T1^5*T2^9 - 9037*T1^6*T2^9 - 17265*T1^7*T2^9 + 
      42297*T1^8*T2^9 - 23851*T1^9*T2^9 - 970*T1^10*T2^9 + 5463*T1^11*T2^9 - 
      1714*T1^12*T2^9 + 368*T1^4*T2^10 - 357*T1^5*T2^10 - 3859*T1^6*T2^10 + 
      13142*T1^7*T2^10 - 14075*T1^8*T2^10 - 970*T1^9*T2^10 + 
      9101*T1^10*T2^10 - 5541*T1^11*T2^10 + 1232*T1^12*T2^10 - 
      303*T1^5*T2^11 + 1334*T1^6*T2^11 - 1977*T1^7*T2^11 - 747*T1^8*T2^11 + 
      5463*T1^9*T2^11 - 5541*T1^10*T2^11 + 2468*T1^11*T2^11 - 
      465*T1^12*T2^11 + 78*T1^6*T2^12 - 465*T1^7*T2^12 + 1232*T1^8*T2^12 - 
      1714*T1^9*T2^12 + 1232*T1^10*T2^12 - 465*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1107] -> 
  {(2 - 8*T + 16*T^2 - 20*T^3 + 21*T^4 - 20*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-17 + 68*T1 - 137*T1^2 + 172*T1^3 - 181*T1^4 + 172*T1^5 - 
     137*T1^6 + 68*T1^7 - 17*T1^8 + 68*T2 - 236*T1*T2 + 404*T1^2*T2 - 
     396*T1^3*T2 + 356*T1^4*T2 - 300*T1^5*T2 + 180*T1^6*T2 + 20*T1^7*T2 - 
     76*T1^8*T2 + 36*T1^9*T2 - 137*T2^2 + 404*T1*T2^2 - 556*T1^2*T2^2 + 
     315*T1^3*T2^2 - 179*T1^4*T2^2 + 68*T1^5*T2^2 + 141*T1^6*T2^2 - 
     453*T1^7*T2^2 + 340*T1^8*T2^2 - 108*T1^9*T2^2 - 9*T1^10*T2^2 + 
     172*T2^3 - 396*T1*T2^3 + 315*T1^2*T2^3 + 280*T1^3*T2^3 - 391*T1^4*T2^3 + 
     396*T1^5*T2^3 - 532*T1^6*T2^3 + 737*T1^7*T2^3 - 152*T1^8*T2^3 - 
     325*T1^9*T2^3 + 308*T1^10*T2^3 - 68*T1^11*T2^3 - 181*T2^4 + 
     356*T1*T2^4 - 179*T1^2*T2^4 - 391*T1^3*T2^4 + 78*T1^4*T2^4 + 
     181*T1^5*T2^4 - 12*T1^6*T2^4 - 235*T1^7*T2^4 - 570*T1^8*T2^4 + 
     729*T1^9*T2^4 - 51*T1^10*T2^4 - 348*T1^11*T2^4 + 155*T1^12*T2^4 + 
     172*T2^5 - 300*T1*T2^5 + 68*T1^2*T2^5 + 396*T1^3*T2^5 + 181*T1^4*T2^5 - 
     380*T1^5*T2^5 - 56*T1^6*T2^5 + 168*T1^7*T2^5 + 924*T1^8*T2^5 - 
     611*T1^9*T2^5 - 468*T1^10*T2^5 + 260*T1^11*T2^5 + 292*T1^12*T2^5 - 
     228*T1^13*T2^5 - 137*T2^6 + 180*T1*T2^6 + 141*T1^2*T2^6 - 
     532*T1^3*T2^6 - 12*T1^4*T2^6 - 56*T1^5*T2^6 + 574*T1^6*T2^6 - 
     120*T1^7*T2^6 - 1058*T1^8*T2^6 + 200*T1^9*T2^6 + 628*T1^10*T2^6 + 
     492*T1^11*T2^6 - 563*T1^12*T2^6 - 76*T1^13*T2^6 + 247*T1^14*T2^6 + 
     68*T2^7 + 20*T1*T2^7 - 453*T1^2*T2^7 + 737*T1^3*T2^7 - 235*T1^4*T2^7 + 
     168*T1^5*T2^7 - 120*T1^6*T2^7 - 1184*T1^7*T2^7 + 1916*T1^8*T2^7 - 
     552*T1^9*T2^7 + 8*T1^10*T2^7 - 947*T1^11*T2^7 - 423*T1^12*T2^7 + 
     955*T1^13*T2^7 - 364*T1^14*T2^7 - 156*T1^15*T2^7 - 17*T2^8 - 
     76*T1*T2^8 + 340*T1^2*T2^8 - 152*T1^3*T2^8 - 570*T1^4*T2^8 + 
     924*T1^5*T2^8 - 1058*T1^6*T2^8 + 1916*T1^7*T2^8 - 768*T1^8*T2^8 - 
     1252*T1^9*T2^8 + 1630*T1^10*T2^8 - 932*T1^11*T2^8 + 2406*T1^12*T2^8 - 
     1240*T1^13*T2^8 - 172*T1^14*T2^8 + 436*T1^15*T2^8 + 47*T1^16*T2^8 + 
     36*T1*T2^9 - 108*T1^2*T2^9 - 325*T1^3*T2^9 + 729*T1^4*T2^9 - 
     611*T1^5*T2^9 + 200*T1^6*T2^9 - 552*T1^7*T2^9 - 1252*T1^8*T2^9 + 
     1848*T1^9*T2^9 - 984*T1^10*T2^9 + 40*T1^11*T2^9 - 1323*T1^12*T2^9 - 
     431*T1^13*T2^9 + 1083*T1^14*T2^9 - 492*T1^15*T2^9 - 188*T1^16*T2^9 - 
     9*T1^2*T2^10 + 308*T1^3*T2^10 - 51*T1^4*T2^10 - 468*T1^5*T2^10 + 
     628*T1^6*T2^10 + 8*T1^7*T2^10 + 1630*T1^8*T2^10 - 984*T1^9*T2^10 - 
     2*T1^10*T2^10 + 264*T1^11*T2^10 + 1268*T1^12*T2^10 + 556*T1^13*T2^10 - 
     755*T1^14*T2^10 + 52*T1^15*T2^10 + 375*T1^16*T2^10 - 68*T1^3*T2^11 - 
     348*T1^4*T2^11 + 260*T1^5*T2^11 + 492*T1^6*T2^11 - 947*T1^7*T2^11 - 
     932*T1^8*T2^11 + 40*T1^9*T2^11 + 264*T1^10*T2^11 + 372*T1^11*T2^11 - 
     1739*T1^12*T2^11 - 372*T1^13*T2^11 + 452*T1^14*T2^11 + 244*T1^15*T2^11 - 
     468*T1^16*T2^11 + 155*T1^4*T2^12 + 292*T1^5*T2^12 - 563*T1^6*T2^12 - 
     423*T1^7*T2^12 + 2406*T1^8*T2^12 - 1323*T1^9*T2^12 + 1268*T1^10*T2^12 - 
     1739*T1^11*T2^12 + 1758*T1^12*T2^12 + 697*T1^13*T2^12 - 
     435*T1^14*T2^12 - 412*T1^15*T2^12 + 491*T1^16*T2^12 - 228*T1^5*T2^13 - 
     76*T1^6*T2^13 + 955*T1^7*T2^13 - 1240*T1^8*T2^13 - 431*T1^9*T2^13 + 
     556*T1^10*T2^13 - 372*T1^11*T2^13 + 697*T1^12*T2^13 - 1672*T1^13*T2^13 + 
     315*T1^14*T2^13 + 628*T1^15*T2^13 - 468*T1^16*T2^13 + 247*T1^6*T2^14 - 
     364*T1^7*T2^14 - 172*T1^8*T2^14 + 1083*T1^9*T2^14 - 755*T1^10*T2^14 + 
     452*T1^11*T2^14 - 435*T1^12*T2^14 + 315*T1^13*T2^14 + 724*T1^14*T2^14 - 
     876*T1^15*T2^14 + 375*T1^16*T2^14 - 156*T1^7*T2^15 + 436*T1^8*T2^15 - 
     492*T1^9*T2^15 + 52*T1^10*T2^15 + 244*T1^11*T2^15 - 412*T1^12*T2^15 + 
     628*T1^13*T2^15 - 876*T1^14*T2^15 + 596*T1^15*T2^15 - 188*T1^16*T2^15 + 
     47*T1^8*T2^16 - 188*T1^9*T2^16 + 375*T1^10*T2^16 - 468*T1^11*T2^16 + 
     491*T1^12*T2^16 - 468*T1^13*T2^16 + 375*T1^14*T2^16 - 188*T1^15*T2^16 + 
     47*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1108] -> 
  {(4 - 17*T + 35*T^2 - 43*T^3 + 35*T^4 - 17*T^5 + 4*T^6)/T^3, 
   (-128 + 544*T1 - 1128*T1^2 + 1392*T1^3 - 1128*T1^4 + 544*T1^5 - 128*T1^6 + 
     544*T2 - 2040*T1*T2 + 3637*T1^2*T2 - 3501*T1^3*T2 + 1803*T1^4*T2 + 
     101*T1^5*T2 - 612*T1^6*T2 + 272*T1^7*T2 - 1128*T2^2 + 3637*T1*T2^2 - 
     5147*T1^2*T2^2 + 2416*T1^3*T2^2 + 2071*T1^4*T2^2 - 4864*T1^5*T2^2 + 
     3533*T1^6*T2^2 - 1123*T1^7*T2^2 - 8*T1^8*T2^2 + 1392*T2^3 - 
     3501*T1*T2^3 + 2416*T1^2*T2^3 + 4631*T1^3*T2^3 - 10233*T1^4*T2^3 + 
     9345*T1^5*T2^3 - 2057*T1^6*T2^3 - 3149*T1^7*T2^3 + 2891*T1^8*T2^3 - 
     672*T1^9*T2^3 - 1128*T2^4 + 1803*T1*T2^4 + 2071*T1^2*T2^4 - 
     10233*T1^3*T2^4 + 10772*T1^4*T2^4 - 1384*T1^5*T2^4 - 9880*T1^6*T2^4 + 
     11009*T1^7*T2^4 - 3183*T1^8*T2^4 - 1869*T1^9*T2^4 + 1112*T1^10*T2^4 + 
     544*T2^5 + 101*T1*T2^5 - 4864*T1^2*T2^5 + 9345*T1^3*T2^5 - 
     1384*T1^4*T2^5 - 13436*T1^5*T2^5 + 18274*T1^6*T2^5 - 7649*T1^7*T2^5 - 
     6905*T1^8*T2^5 + 7561*T1^9*T2^5 - 1259*T1^10*T2^5 - 816*T1^11*T2^5 - 
     128*T2^6 - 612*T1*T2^6 + 3533*T1^2*T2^6 - 2057*T1^3*T2^6 - 
     9880*T1^4*T2^6 + 18274*T1^5*T2^6 - 7068*T1^6*T2^6 - 11222*T1^7*T2^6 + 
     19722*T1^8*T2^6 - 7375*T1^9*T2^6 - 2959*T1^10*T2^6 + 2380*T1^11*T2^6 + 
     256*T1^12*T2^6 + 272*T1*T2^7 - 1123*T1^2*T2^7 - 3149*T1^3*T2^7 + 
     11009*T1^4*T2^7 - 7649*T1^5*T2^7 - 11222*T1^6*T2^7 + 20488*T1^7*T2^7 - 
     13914*T1^8*T2^7 - 5241*T1^9*T2^7 + 9276*T1^10*T2^7 - 2483*T1^11*T2^7 - 
     1088*T1^12*T2^7 - 8*T1^2*T2^8 + 2891*T1^3*T2^8 - 3183*T1^4*T2^8 - 
     6905*T1^5*T2^8 + 19722*T1^6*T2^8 - 13914*T1^7*T2^8 - 930*T1^8*T2^8 + 
     14337*T1^9*T2^8 - 8437*T1^10*T2^8 - 781*T1^11*T2^8 + 2232*T1^12*T2^8 - 
     672*T1^3*T2^9 - 1869*T1^4*T2^9 + 7561*T1^5*T2^9 - 7375*T1^6*T2^9 - 
     5241*T1^7*T2^9 + 14337*T1^8*T2^9 - 14063*T1^9*T2^9 + 1996*T1^10*T2^9 + 
     4523*T1^11*T2^9 - 2736*T1^12*T2^9 + 1112*T1^4*T2^10 - 1259*T1^5*T2^10 - 
     2959*T1^6*T2^10 + 9276*T1^7*T2^10 - 8437*T1^8*T2^10 + 1996*T1^9*T2^10 + 
     5721*T1^10*T2^10 - 6019*T1^11*T2^10 + 2232*T1^12*T2^10 - 
     816*T1^5*T2^11 + 2380*T1^6*T2^11 - 2483*T1^7*T2^11 - 781*T1^8*T2^11 + 
     4523*T1^9*T2^11 - 6019*T1^10*T2^11 + 3808*T1^11*T2^11 - 
     1088*T1^12*T2^11 + 256*T1^6*T2^12 - 1088*T1^7*T2^12 + 2232*T1^8*T2^12 - 
     2736*T1^9*T2^12 + 2232*T1^10*T2^12 - 1088*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1109] -> 
  {-((2 - 11*T + 29*T^2 - 51*T^3 + 61*T^4 - 51*T^5 + 29*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-41 + 225*T1 - 592*T1^2 + 1039*T1^3 - 1241*T1^4 + 1039*T1^5 - 
      592*T1^6 + 225*T1^7 - 41*T1^8 + 225*T2 - 1054*T1*T2 + 2257*T1^2*T2 - 
      3093*T1^3*T2 + 2232*T1^4*T2 - 232*T1^5*T2 - 1333*T1^6*T2 + 
      1377*T1^7*T2 - 768*T1^8*T2 + 181*T1^9*T2 - 592*T2^2 + 2257*T1*T2^2 - 
      3449*T1^2*T2^2 + 2590*T1^3*T2^2 + 2159*T1^4*T2^2 - 6097*T1^5*T2^2 + 
      5871*T1^6*T2^2 - 2050*T1^7*T2^2 - 317*T1^8*T2^2 + 981*T1^9*T2^2 - 
      360*T1^10*T2^2 + 1039*T2^3 - 3093*T1*T2^3 + 2590*T1^2*T2^3 + 
      1153*T1^3*T2^3 - 8838*T1^4*T2^3 + 9070*T1^5*T2^3 - 2178*T1^6*T2^3 - 
      5350*T1^7*T2^3 + 4611*T1^8*T2^3 - 2137*T1^9*T2^3 - 365*T1^10*T2^3 + 
      427*T1^11*T2^3 - 1241*T2^4 + 2232*T1*T2^4 + 2159*T1^2*T2^4 - 
      8838*T1^3*T2^4 + 16388*T1^4*T2^4 - 7967*T1^5*T2^4 - 3978*T1^6*T2^4 + 
      8417*T1^7*T2^4 + 300*T1^8*T2^4 - 3432*T1^9*T2^4 + 3969*T1^10*T2^4 - 
      892*T1^11*T2^4 - 265*T1^12*T2^4 + 1039*T2^5 - 232*T1*T2^5 - 
      6097*T1^2*T2^5 + 9070*T1^3*T2^5 - 7967*T1^4*T2^5 - 10928*T1^5*T2^5 + 
      17516*T1^6*T2^5 - 7492*T1^7*T2^5 - 10514*T1^8*T2^5 + 8452*T1^9*T2^5 - 
      4070*T1^10*T2^5 - 1702*T1^11*T2^5 + 1352*T1^12*T2^5 + 19*T1^13*T2^5 - 
      592*T2^6 - 1333*T1*T2^6 + 5871*T1^2*T2^6 - 2178*T1^3*T2^6 - 
      3978*T1^4*T2^6 + 17516*T1^5*T2^6 - 3199*T1^6*T2^6 - 19753*T1^7*T2^6 + 
      29653*T1^8*T2^6 - 9356*T1^9*T2^6 - 1668*T1^10*T2^6 + 6232*T1^11*T2^6 - 
      1645*T1^12*T2^6 - 673*T1^13*T2^6 + 104*T1^14*T2^6 + 225*T2^7 + 
      1377*T1*T2^7 - 2050*T1^2*T2^7 - 5350*T1^3*T2^7 + 8417*T1^4*T2^7 - 
      7492*T1^5*T2^7 - 19753*T1^6*T2^7 + 34265*T1^7*T2^7 - 21005*T1^8*T2^7 - 
      10268*T1^9*T2^7 + 13788*T1^10*T2^7 - 7862*T1^11*T2^7 - 
      1166*T1^12*T2^7 + 2155*T1^13*T2^7 - 119*T1^14*T2^7 - 83*T1^15*T2^7 - 
      41*T2^8 - 768*T1*T2^8 - 317*T1^2*T2^8 + 4611*T1^3*T2^8 + 
      300*T1^4*T2^8 - 10514*T1^5*T2^8 + 29653*T1^6*T2^8 - 21005*T1^7*T2^8 - 
      8832*T1^8*T2^8 + 30149*T1^9*T2^8 - 16049*T1^10*T2^8 + 1030*T1^11*T2^8 + 
      5560*T1^12*T2^8 - 2567*T1^13*T2^8 - 647*T1^14*T2^8 + 332*T1^15*T2^8 + 
      23*T1^16*T2^8 + 181*T1*T2^9 + 981*T1^2*T2^9 - 2137*T1^3*T2^9 - 
      3432*T1^4*T2^9 + 8452*T1^5*T2^9 - 9356*T1^6*T2^9 - 10268*T1^7*T2^9 + 
      30149*T1^8*T2^9 - 25121*T1^9*T2^9 - 783*T1^10*T2^9 + 11924*T1^11*T2^9 - 
      7827*T1^12*T2^9 + 752*T1^13*T2^9 + 2068*T1^14*T2^9 - 515*T1^15*T2^9 - 
      127*T1^16*T2^9 - 360*T1^2*T2^10 - 365*T1^3*T2^10 + 3969*T1^4*T2^10 - 
      4070*T1^5*T2^10 - 1668*T1^6*T2^10 + 13788*T1^7*T2^10 - 
      16049*T1^8*T2^10 - 783*T1^9*T2^10 + 16803*T1^10*T2^10 - 
      13084*T1^11*T2^10 + 642*T1^12*T2^10 + 4340*T1^13*T2^10 - 
      3547*T1^14*T2^10 + 295*T1^15*T2^10 + 336*T1^16*T2^10 + 427*T1^3*T2^11 - 
      892*T1^4*T2^11 - 1702*T1^5*T2^11 + 6232*T1^6*T2^11 - 7862*T1^7*T2^11 + 
      1030*T1^8*T2^11 + 11924*T1^9*T2^11 - 13084*T1^10*T2^11 + 
      1444*T1^11*T2^11 + 8557*T1^12*T2^11 - 6908*T1^13*T2^11 + 
      2693*T1^14*T2^11 + 692*T1^15*T2^11 - 593*T1^16*T2^11 - 265*T1^4*T2^12 + 
      1352*T1^5*T2^12 - 1645*T1^6*T2^12 - 1166*T1^7*T2^12 + 5560*T1^8*T2^12 - 
      7827*T1^9*T2^12 + 642*T1^10*T2^12 + 8557*T1^11*T2^12 - 
      10528*T1^12*T2^12 + 4240*T1^13*T2^12 + 165*T1^14*T2^12 - 
      1772*T1^15*T2^12 + 711*T1^16*T2^12 + 19*T1^5*T2^13 - 673*T1^6*T2^13 + 
      2155*T1^7*T2^13 - 2567*T1^8*T2^13 + 752*T1^9*T2^13 + 4340*T1^10*T2^13 - 
      6908*T1^11*T2^13 + 4240*T1^12*T2^13 + 891*T1^13*T2^13 - 
      2572*T1^14*T2^13 + 2055*T1^15*T2^13 - 593*T1^16*T2^13 + 
      104*T1^6*T2^14 - 119*T1^7*T2^14 - 647*T1^8*T2^14 + 2068*T1^9*T2^14 - 
      3547*T1^10*T2^14 + 2693*T1^11*T2^14 + 165*T1^12*T2^14 - 
      2572*T1^13*T2^14 + 2485*T1^14*T2^14 - 1395*T1^15*T2^14 + 
      336*T1^16*T2^14 - 83*T1^7*T2^15 + 332*T1^8*T2^15 - 515*T1^9*T2^15 + 
      295*T1^10*T2^15 + 692*T1^11*T2^15 - 1772*T1^12*T2^15 + 
      2055*T1^13*T2^15 - 1395*T1^14*T2^15 + 618*T1^15*T2^15 - 
      127*T1^16*T2^15 + 23*T1^8*T2^16 - 127*T1^9*T2^16 + 336*T1^10*T2^16 - 
      593*T1^11*T2^16 + 711*T1^12*T2^16 - 593*T1^13*T2^16 + 336*T1^14*T2^16 - 
      127*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1110] -> 
  {(5 - 27*T + 66*T^2 - 87*T^3 + 66*T^4 - 27*T^5 + 5*T^6)/T^3, 
   (-520 + 2795*T1 - 6819*T1^2 + 8976*T1^3 - 6819*T1^4 + 2795*T1^5 - 
     520*T1^6 + 2795*T2 - 12913*T1*T2 + 25296*T1^2*T2 - 20520*T1^3*T2 + 
     135*T1^4*T2 + 12741*T1^5*T2 - 8593*T1^6*T2 + 2120*T1^7*T2 - 6819*T2^2 + 
     25296*T1*T2^2 - 31792*T1^2*T2^2 - 12765*T1^3*T2^2 + 61308*T1^4*T2^2 - 
     52365*T1^5*T2^2 + 8468*T1^6*T2^2 + 7476*T1^7*T2^2 - 3519*T1^8*T2^2 + 
     8976*T2^3 - 20520*T1*T2^3 - 12765*T1^2*T2^3 + 110867*T1^3*T2^3 - 
     128370*T1^4*T2^3 + 22911*T1^5*T2^3 + 65201*T1^6*T2^3 - 41871*T1^7*T2^3 + 
     5805*T1^8*T2^3 + 2451*T1^9*T2^3 - 6819*T2^4 + 135*T1*T2^4 + 
     61308*T1^2*T2^4 - 128370*T1^3*T2^4 + 9052*T1^4*T2^4 + 181604*T1^5*T2^4 - 
     192308*T1^6*T2^4 + 43368*T1^7*T2^4 + 21582*T1^8*T2^4 - 12015*T1^9*T2^4 - 
     219*T1^10*T2^4 + 2795*T2^5 + 12741*T1*T2^5 - 52365*T1^2*T2^5 + 
     22911*T1^3*T2^5 + 181604*T1^4*T2^5 - 286295*T1^5*T2^5 + 
     116653*T1^6*T2^5 + 94880*T1^7*T2^5 - 87456*T1^8*T2^5 + 18717*T1^9*T2^5 + 
     4236*T1^10*T2^5 - 580*T1^11*T2^5 - 520*T2^6 - 8593*T1*T2^6 + 
     8468*T1^2*T2^6 + 65201*T1^3*T2^6 - 192308*T1^4*T2^6 + 116653*T1^5*T2^6 + 
     129936*T1^6*T2^6 - 232241*T1^7*T2^6 + 95332*T1^8*T2^6 + 9383*T1^9*T2^6 - 
     16804*T1^10*T2^6 + 1937*T1^11*T2^6 + 230*T1^12*T2^6 + 2120*T1*T2^7 + 
     7476*T1^2*T2^7 - 41871*T1^3*T2^7 + 43368*T1^4*T2^7 + 94880*T1^5*T2^7 - 
     232241*T1^6*T2^7 + 170707*T1^7*T2^7 + 8156*T1^8*T2^7 - 66999*T1^9*T2^7 + 
     29211*T1^10*T2^7 - 1029*T1^11*T2^7 - 1255*T1^12*T2^7 - 3519*T1^2*T2^8 + 
     5805*T1^3*T2^8 + 21582*T1^4*T2^8 - 87456*T1^5*T2^8 + 95332*T1^6*T2^8 + 
     8156*T1^7*T2^8 - 106028*T1^8*T2^8 + 84282*T1^9*T2^8 - 18144*T1^10*T2^8 - 
     6345*T1^11*T2^8 + 3081*T1^12*T2^8 + 2451*T1^3*T2^9 - 12015*T1^4*T2^9 + 
     18717*T1^5*T2^9 + 9383*T1^6*T2^9 - 66999*T1^7*T2^9 + 84282*T1^8*T2^9 - 
     36283*T1^9*T2^9 - 10389*T1^10*T2^9 + 14310*T1^11*T2^9 - 
     4074*T1^12*T2^9 - 219*T1^4*T2^10 + 4236*T1^5*T2^10 - 16804*T1^6*T2^10 + 
     29211*T1^7*T2^10 - 18144*T1^8*T2^10 - 10389*T1^9*T2^10 + 
     23456*T1^10*T2^10 - 13584*T1^11*T2^10 + 3081*T1^12*T2^10 - 
     580*T1^5*T2^11 + 1937*T1^6*T2^11 - 1029*T1^7*T2^11 - 6345*T1^8*T2^11 + 
     14310*T1^9*T2^11 - 13584*T1^10*T2^11 + 6257*T1^11*T2^11 - 
     1255*T1^12*T2^11 + 230*T1^6*T2^12 - 1255*T1^7*T2^12 + 3081*T1^8*T2^12 - 
     4074*T1^9*T2^12 + 3081*T1^10*T2^12 - 1255*T1^11*T2^12 + 230*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1111] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/
     T^4), -((-25 + 137*T1 - 336*T1^2 + 511*T1^3 - 561*T1^4 + 511*T1^5 - 
      336*T1^6 + 137*T1^7 - 25*T1^8 + 137*T2 - 658*T1*T2 + 1333*T1^2*T2 - 
      1553*T1^3*T2 + 1176*T1^4*T2 - 716*T1^5*T2 - 57*T1^6*T2 + 497*T1^7*T2 - 
      372*T1^8*T2 + 93*T1^9*T2 - 336*T2^2 + 1333*T1*T2^2 - 1863*T1^2*T2^2 + 
      748*T1^3*T2^2 + 1128*T1^4*T2^2 - 1933*T1^5*T2^2 + 3072*T1^6*T2^2 - 
      2492*T1^7*T2^2 + 837*T1^8*T2^2 + 145*T1^9*T2^2 - 120*T1^10*T2^2 + 
      511*T2^3 - 1553*T1*T2^3 + 748*T1^2*T2^3 + 2537*T1^3*T2^3 - 
      5044*T1^4*T2^3 + 4231*T1^5*T2^3 - 4583*T1^6*T2^3 + 1376*T1^7*T2^3 + 
      1829*T1^8*T2^3 - 2033*T1^9*T2^3 + 559*T1^10*T2^3 + 19*T1^11*T2^3 - 
      561*T2^4 + 1176*T1*T2^4 + 1128*T1^2*T2^4 - 5044*T1^3*T2^4 + 
      5329*T1^4*T2^4 - 1149*T1^5*T2^4 + 889*T1^6*T2^4 + 4287*T1^7*T2^4 - 
      6251*T1^8*T2^4 + 2746*T1^9*T2^4 + 926*T1^10*T2^4 - 980*T1^11*T2^4 + 
      159*T1^12*T2^4 + 511*T2^5 - 716*T1*T2^5 - 1933*T1^2*T2^5 + 
      4231*T1^3*T2^5 - 1149*T1^4*T2^5 - 4548*T1^5*T2^5 + 2679*T1^6*T2^5 - 
      7123*T1^7*T2^5 + 5198*T1^8*T2^5 + 2190*T1^9*T2^5 - 4663*T1^10*T2^5 + 
      1118*T1^11*T2^5 + 824*T1^12*T2^5 - 309*T1^13*T2^5 - 336*T2^6 - 
      57*T1*T2^6 + 3072*T1^2*T2^6 - 4583*T1^3*T2^6 + 889*T1^4*T2^6 + 
      2679*T1^5*T2^6 + 1522*T1^6*T2^6 + 3676*T1^7*T2^6 - 758*T1^8*T2^6 - 
      5933*T1^9*T2^6 + 2255*T1^10*T2^6 + 4111*T1^11*T2^6 - 3164*T1^12*T2^6 - 
      13*T1^13*T2^6 + 312*T1^14*T2^6 + 137*T2^7 + 497*T1*T2^7 - 
      2492*T1^2*T2^7 + 1376*T1^3*T2^7 + 4287*T1^4*T2^7 - 7123*T1^5*T2^7 + 
      3676*T1^6*T2^7 - 9039*T1^7*T2^7 + 3691*T1^8*T2^7 + 2857*T1^9*T2^7 + 
      5059*T1^10*T2^7 - 7440*T1^11*T2^7 + 436*T1^12*T2^7 + 3043*T1^13*T2^7 - 
      779*T1^14*T2^7 - 171*T1^15*T2^7 - 25*T2^8 - 372*T1*T2^8 + 
      837*T1^2*T2^8 + 1829*T1^3*T2^8 - 6251*T1^4*T2^8 + 5198*T1^5*T2^8 - 
      758*T1^6*T2^8 + 3691*T1^7*T2^8 + 1980*T1^8*T2^8 - 5475*T1^9*T2^8 - 
      5132*T1^10*T2^8 + 1050*T1^11*T2^8 + 7173*T1^12*T2^8 - 5233*T1^13*T2^8 - 
      453*T1^14*T2^8 + 728*T1^15*T2^8 + 39*T1^16*T2^8 + 93*T1*T2^9 + 
      145*T1^2*T2^9 - 2033*T1^3*T2^9 + 2746*T1^4*T2^9 + 2190*T1^5*T2^9 - 
      5933*T1^6*T2^9 + 2857*T1^7*T2^9 - 5475*T1^8*T2^9 + 7255*T1^9*T2^9 + 
      2038*T1^10*T2^9 + 6249*T1^11*T2^9 - 9537*T1^12*T2^9 + 1806*T1^13*T2^9 + 
      3502*T1^14*T2^9 - 1131*T1^15*T2^9 - 215*T1^16*T2^9 - 120*T1^2*T2^10 + 
      559*T1^3*T2^10 + 926*T1^4*T2^10 - 4663*T1^5*T2^10 + 2255*T1^6*T2^10 + 
      5059*T1^7*T2^10 - 5132*T1^8*T2^10 + 2038*T1^9*T2^10 - 
      7412*T1^10*T2^10 - 3553*T1^11*T2^10 + 3621*T1^12*T2^10 + 
      4031*T1^13*T2^10 - 5310*T1^14*T2^10 + 603*T1^15*T2^10 + 
      528*T1^16*T2^10 + 19*T1^3*T2^11 - 980*T1^4*T2^11 + 1118*T1^5*T2^11 + 
      4111*T1^6*T2^11 - 7440*T1^7*T2^11 + 1050*T1^8*T2^11 + 6249*T1^9*T2^11 - 
      3553*T1^10*T2^11 + 10796*T1^11*T2^11 - 4101*T1^12*T2^11 - 
      4783*T1^13*T2^11 + 4169*T1^14*T2^11 + 560*T1^15*T2^11 - 
      801*T1^16*T2^11 + 159*T1^4*T2^12 + 824*T1^5*T2^12 - 3164*T1^6*T2^12 + 
      436*T1^7*T2^12 + 7173*T1^8*T2^12 - 9537*T1^9*T2^12 + 3621*T1^10*T2^12 - 
      4101*T1^11*T2^12 - 4407*T1^12*T2^12 + 8226*T1^13*T2^12 - 
      3366*T1^14*T2^12 - 1332*T1^15*T2^12 + 879*T1^16*T2^12 - 
      309*T1^5*T2^13 - 13*T1^6*T2^13 + 3043*T1^7*T2^13 - 5233*T1^8*T2^13 + 
      1806*T1^9*T2^13 + 4031*T1^10*T2^13 - 4783*T1^11*T2^13 + 
      8226*T1^12*T2^13 - 5941*T1^13*T2^13 + 262*T1^14*T2^13 + 
      2099*T1^15*T2^13 - 801*T1^16*T2^13 + 312*T1^6*T2^14 - 779*T1^7*T2^14 - 
      453*T1^8*T2^14 + 3502*T1^9*T2^14 - 5310*T1^10*T2^14 + 
      4169*T1^11*T2^14 - 3366*T1^12*T2^14 + 262*T1^13*T2^14 + 
      2247*T1^14*T2^14 - 1967*T1^15*T2^14 + 528*T1^16*T2^14 - 
      171*T1^7*T2^15 + 728*T1^8*T2^15 - 1131*T1^9*T2^15 + 603*T1^10*T2^15 + 
      560*T1^11*T2^15 - 1332*T1^12*T2^15 + 2099*T1^13*T2^15 - 
      1967*T1^14*T2^15 + 1014*T1^15*T2^15 - 215*T1^16*T2^15 + 39*T1^8*T2^16 - 
      215*T1^9*T2^16 + 528*T1^10*T2^16 - 801*T1^11*T2^16 + 879*T1^12*T2^16 - 
      801*T1^13*T2^16 + 528*T1^14*T2^16 - 215*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1112] -> 
  {(8 - 27*T + 46*T^2 - 53*T^3 + 46*T^4 - 27*T^5 + 8*T^6)/T^3, 
   -((3160 - 10553*T1 + 17882*T1^2 - 20556*T1^3 + 17882*T1^4 - 10553*T1^5 + 
      3160*T1^6 - 10553*T2 + 26496*T1*T2 - 30442*T1^2*T2 + 18939*T1^3*T2 - 
      2445*T1^4*T2 - 14674*T1^5*T2 + 18936*T1^6*T2 - 8825*T1^7*T2 + 
      17882*T2^2 - 30442*T1*T2^2 + 14448*T1^2*T2^2 + 12231*T1^3*T2^2 - 
      25644*T1^4*T2^2 + 31367*T1^5*T2^2 - 13520*T1^6*T2^2 - 10570*T1^7*T2^2 + 
      11994*T1^8*T2^2 - 20556*T2^3 + 18939*T1*T2^3 + 12231*T1^2*T2^3 - 
      30092*T1^3*T2^3 + 19870*T1^4*T2^3 - 10232*T1^5*T2^3 - 17018*T1^6*T2^3 + 
      27273*T1^7*T2^3 - 5469*T1^8*T2^3 - 10380*T1^9*T2^3 + 17882*T2^4 - 
      2445*T1*T2^4 - 25644*T1^2*T2^4 + 19870*T1^3*T2^4 + 5864*T1^4*T2^4 - 
      10630*T1^5*T2^4 + 24340*T1^6*T2^4 - 10870*T1^7*T2^4 - 16082*T1^8*T2^4 + 
      14403*T1^9*T2^4 + 6106*T1^10*T2^4 - 10553*T2^5 - 14674*T1*T2^5 + 
      31367*T1^2*T2^5 - 10232*T1^3*T2^5 - 10630*T1^4*T2^5 + 1586*T1^5*T2^5 - 
      5578*T1^6*T2^5 - 10262*T1^7*T2^5 + 18594*T1^8*T2^5 - 51*T1^9*T2^5 - 
      14026*T1^10*T2^5 - 1913*T1^11*T2^5 + 3160*T2^6 + 18936*T1*T2^6 - 
      13520*T1^2*T2^6 - 17018*T1^3*T2^6 + 24340*T1^4*T2^6 - 5578*T1^5*T2^6 + 
      6588*T1^6*T2^6 + 4014*T1^7*T2^6 + 408*T1^8*T2^6 - 16538*T1^9*T2^6 + 
      13692*T1^10*T2^6 + 5976*T1^11*T2^6 + 88*T1^12*T2^6 - 8825*T1*T2^7 - 
      10570*T1^2*T2^7 + 27273*T1^3*T2^7 - 10870*T1^4*T2^7 - 10262*T1^5*T2^7 + 
      4014*T1^6*T2^7 - 3150*T1^7*T2^7 - 9894*T1^8*T2^7 + 17956*T1^9*T2^7 - 
      4145*T1^10*T2^7 - 9922*T1^11*T2^7 - 185*T1^12*T2^7 + 11994*T1^2*T2^8 - 
      5469*T1^3*T2^8 - 16082*T1^4*T2^8 + 18594*T1^5*T2^8 + 408*T1^6*T2^8 - 
      9894*T1^7*T2^8 + 18884*T1^8*T2^8 - 12146*T1^9*T2^8 - 6520*T1^10*T2^8 + 
      11379*T1^11*T2^8 + 218*T1^12*T2^8 - 10380*T1^3*T2^9 + 14403*T1^4*T2^9 - 
      51*T1^5*T2^9 - 16538*T1^6*T2^9 + 17956*T1^7*T2^9 - 12146*T1^8*T2^9 - 
      3464*T1^9*T2^9 + 14991*T1^10*T2^9 - 10005*T1^11*T2^9 - 204*T1^12*T2^9 + 
      6106*T1^4*T2^10 - 14026*T1^5*T2^10 + 13692*T1^6*T2^10 - 
      4145*T1^7*T2^10 - 6520*T1^8*T2^10 + 14991*T1^9*T2^10 - 
      14276*T1^10*T2^10 + 5846*T1^11*T2^10 + 218*T1^12*T2^10 - 
      1913*T1^5*T2^11 + 5976*T1^6*T2^11 - 9922*T1^7*T2^11 + 
      11379*T1^8*T2^11 - 10005*T1^9*T2^11 + 5846*T1^10*T2^11 - 
      1584*T1^11*T2^11 - 185*T1^12*T2^11 + 88*T1^6*T2^12 - 185*T1^7*T2^12 + 
      218*T1^8*T2^12 - 204*T1^9*T2^12 + 218*T1^10*T2^12 - 185*T1^11*T2^12 + 
      88*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1113] -> {(15 - 51*T + 73*T^2 - 51*T^3 + 15*T^4)/T^2, 
   -((14745 - 49653*T1 + 70917*T1^2 - 49653*T1^3 + 14745*T1^4 - 49653*T2 + 
      129263*T1*T2 - 110807*T1^2*T2 - 15947*T1^3*T2 + 78773*T1^4*T2 - 
      38178*T1^5*T2 + 70917*T2^2 - 110807*T1*T2^2 - 53359*T1^2*T2^2 + 
      252355*T1^3*T2^2 - 180379*T1^4*T2^2 + 883*T1^5*T2^2 + 38067*T1^6*T2^2 - 
      49653*T2^3 - 15947*T1*T2^3 + 252355*T1^2*T2^3 - 303424*T1^3*T2^3 + 
      6758*T1^4*T2^3 + 174172*T1^5*T2^3 - 77147*T1^6*T2^3 - 15228*T1^7*T2^3 + 
      14745*T2^4 + 78773*T1*T2^4 - 180379*T1^2*T2^4 + 6758*T1^3*T2^4 + 
      290736*T1^4*T2^4 - 249058*T1^5*T2^4 + 19223*T1^6*T2^4 + 
      46643*T1^7*T2^4 + 1245*T1^8*T2^4 - 38178*T1*T2^5 + 883*T1^2*T2^5 + 
      174172*T1^3*T2^5 - 249058*T1^4*T2^5 + 61124*T1^5*T2^5 + 
      95989*T1^6*T2^5 - 60317*T1^7*T2^5 - 3753*T1^8*T2^5 + 38067*T1^2*T2^6 - 
      77147*T1^3*T2^6 + 19223*T1^4*T2^6 + 95989*T1^5*T2^6 - 
      107797*T1^6*T2^6 + 34543*T1^7*T2^6 + 5217*T1^8*T2^6 - 15228*T1^3*T2^7 + 
      46643*T1^4*T2^7 - 60317*T1^5*T2^7 + 34543*T1^6*T2^7 - 3847*T1^7*T2^7 - 
      3753*T1^8*T2^7 + 1245*T1^4*T2^8 - 3753*T1^5*T2^8 + 5217*T1^6*T2^8 - 
      3753*T1^7*T2^8 + 1245*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1114] -> 
  {(1 - 4*T + 9*T^2 - 12*T^3 + 14*T^4 - 15*T^5 + 14*T^6 - 12*T^7 + 9*T^8 - 
     4*T^9 + T^10)/T^5, (-2 + 8*T1 - 18*T1^2 + 24*T1^3 - 28*T1^4 + 30*T1^5 - 
     28*T1^6 + 24*T1^7 - 18*T1^8 + 8*T1^9 - 2*T1^10 + 8*T2 - 28*T1*T2 + 
     56*T1^2*T2 - 60*T1^3*T2 + 64*T1^4*T2 - 64*T1^5*T2 + 52*T1^6*T2 - 
     40*T1^7*T2 + 24*T1^8*T2 + 4*T1^9*T2 - 8*T1^10*T2 + 4*T1^11*T2 - 
     18*T2^2 + 56*T1*T2^2 - 101*T1^2*T2^2 + 82*T1^3*T2^2 - 81*T1^4*T2^2 + 
     72*T1^5*T2^2 - 39*T1^6*T2^2 + 18*T1^7*T2^2 + 9*T1^8*T2^2 - 
     62*T1^9*T2^2 + 43*T1^10*T2^2 - 16*T1^11*T2^2 + 24*T2^3 - 60*T1*T2^3 + 
     82*T1^2*T2^3 + 4*T1^3*T2^3 - 15*T1^4*T2^3 + 21*T1^5*T2^3 - 
     57*T1^6*T2^3 + 51*T1^7*T2^3 - 51*T1^8*T2^3 + 93*T1^9*T2^3 + 
     4*T1^10*T2^3 - 62*T1^11*T2^3 + 48*T1^12*T2^3 - 12*T1^13*T2^3 - 28*T2^4 + 
     64*T1*T2^4 - 81*T1^2*T2^4 - 15*T1^3*T2^4 - 42*T1^4*T2^4 + 98*T1^5*T2^4 - 
     55*T1^6*T2^4 + 76*T1^7*T2^4 - 63*T1^8*T2^4 - 38*T1^9*T2^4 - 
     82*T1^10*T2^4 + 81*T1^11*T2^4 + 39*T1^12*T2^4 - 64*T1^13*T2^4 + 
     28*T1^14*T2^4 + 30*T2^5 - 64*T1*T2^5 + 72*T1^2*T2^5 + 21*T1^3*T2^5 + 
     98*T1^4*T2^5 - 187*T1^5*T2^5 + 83*T1^6*T2^5 - 168*T1^7*T2^5 + 
     171*T1^8*T2^5 - 43*T1^9*T2^5 + 257*T1^10*T2^5 - 172*T1^11*T2^5 - 
     51*T1^12*T2^5 - 39*T1^13*T2^5 + 68*T1^14*T2^5 - 45*T1^15*T2^5 - 
     28*T2^6 + 52*T1*T2^6 - 39*T1^2*T2^6 - 57*T1^3*T2^6 - 55*T1^4*T2^6 + 
     83*T1^5*T2^6 + 124*T1^6*T2^6 + 81*T1^7*T2^6 - 20*T1^8*T2^6 - 
     147*T1^9*T2^6 - 164*T1^10*T2^6 - 73*T1^11*T2^6 + 257*T1^12*T2^6 + 
     87*T1^13*T2^6 + 9*T1^14*T2^6 - 44*T1^15*T2^6 + 56*T1^16*T2^6 + 24*T2^7 - 
     40*T1*T2^7 + 18*T1^2*T2^7 + 51*T1^3*T2^7 + 76*T1^4*T2^7 - 
     168*T1^5*T2^7 + 81*T1^6*T2^7 - 579*T1^7*T2^7 + 460*T1^8*T2^7 - 
     410*T1^9*T2^7 + 825*T1^10*T2^7 - 377*T1^11*T2^7 + 253*T1^12*T2^7 - 
     545*T1^13*T2^7 - 9*T1^14*T2^7 - 23*T1^15*T2^7 + 16*T1^16*T2^7 - 
     60*T1^17*T2^7 - 18*T2^8 + 24*T1*T2^8 + 9*T1^2*T2^8 - 51*T1^3*T2^8 - 
     63*T1^4*T2^8 + 171*T1^5*T2^8 - 20*T1^6*T2^8 + 460*T1^7*T2^8 + 
     14*T1^8*T2^8 - 8*T1^9*T2^8 - 274*T1^10*T2^8 - 404*T1^11*T2^8 + 
     340*T1^12*T2^8 - 45*T1^13*T2^8 + 585*T1^14*T2^8 + 21*T1^15*T2^8 + 
     9*T1^16*T2^8 + 24*T1^17*T2^8 + 54*T1^18*T2^8 + 8*T2^9 + 4*T1*T2^9 - 
     62*T1^2*T2^9 + 93*T1^3*T2^9 - 38*T1^4*T2^9 - 43*T1^5*T2^9 - 
     147*T1^6*T2^9 - 410*T1^7*T2^9 - 8*T1^8*T2^9 - 482*T1^9*T2^9 + 
     748*T1^10*T2^9 - 140*T1^11*T2^9 + 472*T1^12*T2^9 - 609*T1^13*T2^9 - 
     37*T1^14*T2^9 - 572*T1^15*T2^9 - 87*T1^16*T2^9 + 82*T1^17*T2^9 - 
     104*T1^18*T2^9 - 28*T1^19*T2^9 - 2*T2^10 - 8*T1*T2^10 + 43*T1^2*T2^10 + 
     4*T1^3*T2^10 - 82*T1^4*T2^10 + 257*T1^5*T2^10 - 164*T1^6*T2^10 + 
     825*T1^7*T2^10 - 274*T1^8*T2^10 + 748*T1^9*T2^10 - 360*T1^10*T2^10 - 
     452*T1^11*T2^10 + 222*T1^12*T2^10 - 441*T1^13*T2^10 + 1084*T1^14*T2^10 - 
     317*T1^15*T2^10 + 984*T1^16*T2^10 - 332*T1^17*T2^10 + 107*T1^18*T2^10 + 
     80*T1^19*T2^10 + 8*T1^20*T2^10 + 4*T1*T2^11 - 16*T1^2*T2^11 - 
     62*T1^3*T2^11 + 81*T1^4*T2^11 - 172*T1^5*T2^11 - 73*T1^6*T2^11 - 
     377*T1^7*T2^11 - 404*T1^8*T2^11 - 140*T1^9*T2^11 - 452*T1^10*T2^11 + 
     778*T1^11*T2^11 - 272*T1^12*T2^11 + 478*T1^13*T2^11 - 839*T1^14*T2^11 - 
     67*T1^15*T2^11 - 706*T1^16*T2^11 - 99*T1^17*T2^11 + 82*T1^18*T2^11 - 
     124*T1^19*T2^11 - 32*T1^20*T2^11 + 48*T1^3*T2^12 + 39*T1^4*T2^12 - 
     51*T1^5*T2^12 + 257*T1^6*T2^12 + 253*T1^7*T2^12 + 340*T1^8*T2^12 + 
     472*T1^9*T2^12 + 222*T1^10*T2^12 - 272*T1^11*T2^12 - 66*T1^12*T2^12 - 
     392*T1^13*T2^12 + 700*T1^14*T2^12 + 37*T1^15*T2^12 + 905*T1^16*T2^12 + 
     21*T1^17*T2^12 + 39*T1^18*T2^12 + 48*T1^19*T2^12 + 72*T1^20*T2^12 - 
     12*T1^3*T2^13 - 64*T1^4*T2^13 - 39*T1^5*T2^13 + 87*T1^6*T2^13 - 
     545*T1^7*T2^13 - 45*T1^8*T2^13 - 609*T1^9*T2^13 - 441*T1^10*T2^13 + 
     478*T1^11*T2^13 - 392*T1^12*T2^13 + 963*T1^13*T2^13 - 1067*T1^14*T2^13 + 
     376*T1^15*T2^13 - 1166*T1^16*T2^13 + 27*T1^17*T2^13 - 80*T1^18*T2^13 - 
     8*T1^19*T2^13 - 96*T1^20*T2^13 + 28*T1^4*T2^14 + 68*T1^5*T2^14 + 
     9*T1^6*T2^14 - 9*T1^7*T2^14 + 585*T1^8*T2^14 - 37*T1^9*T2^14 + 
     1084*T1^10*T2^14 - 839*T1^11*T2^14 + 700*T1^12*T2^14 - 
     1067*T1^13*T2^14 + 796*T1^14*T2^14 - 193*T1^15*T2^14 + 897*T1^16*T2^14 + 
     135*T1^17*T2^14 + 57*T1^18*T2^14 - 28*T1^19*T2^14 + 112*T1^20*T2^14 - 
     45*T1^5*T2^15 - 44*T1^6*T2^15 - 23*T1^7*T2^15 + 21*T1^8*T2^15 - 
     572*T1^9*T2^15 - 317*T1^10*T2^15 - 67*T1^11*T2^15 + 37*T1^12*T2^15 + 
     376*T1^13*T2^15 - 193*T1^14*T2^15 + 127*T1^15*T2^15 - 842*T1^16*T2^15 - 
     51*T1^17*T2^15 - 134*T1^18*T2^15 + 88*T1^19*T2^15 - 120*T1^20*T2^15 + 
     56*T1^6*T2^16 + 16*T1^7*T2^16 + 9*T1^8*T2^16 - 87*T1^9*T2^16 + 
     984*T1^10*T2^16 - 706*T1^11*T2^16 + 905*T1^12*T2^16 - 1166*T1^13*T2^16 + 
     897*T1^14*T2^16 - 842*T1^15*T2^16 + 944*T1^16*T2^16 + 9*T1^17*T2^16 + 
     129*T1^18*T2^16 - 112*T1^19*T2^16 + 112*T1^20*T2^16 - 60*T1^7*T2^17 + 
     24*T1^8*T2^17 + 82*T1^9*T2^17 - 332*T1^10*T2^17 - 99*T1^11*T2^17 + 
     21*T1^12*T2^17 + 27*T1^13*T2^17 + 135*T1^14*T2^17 - 51*T1^15*T2^17 + 
     9*T1^16*T2^17 - 332*T1^17*T2^17 - 62*T1^18*T2^17 + 132*T1^19*T2^17 - 
     96*T1^20*T2^17 + 54*T1^8*T2^18 - 104*T1^9*T2^18 + 107*T1^10*T2^18 + 
     82*T1^11*T2^18 + 39*T1^12*T2^18 - 80*T1^13*T2^18 + 57*T1^14*T2^18 - 
     134*T1^15*T2^18 + 129*T1^16*T2^18 - 62*T1^17*T2^18 + 251*T1^18*T2^18 - 
     176*T1^19*T2^18 + 72*T1^20*T2^18 - 28*T1^9*T2^19 + 80*T1^10*T2^19 - 
     124*T1^11*T2^19 + 48*T1^12*T2^19 - 8*T1^13*T2^19 - 28*T1^14*T2^19 + 
     88*T1^15*T2^19 - 112*T1^16*T2^19 + 132*T1^17*T2^19 - 176*T1^18*T2^19 + 
     100*T1^19*T2^19 - 32*T1^20*T2^19 + 8*T1^10*T2^20 - 32*T1^11*T2^20 + 
     72*T1^12*T2^20 - 96*T1^13*T2^20 + 112*T1^14*T2^20 - 120*T1^15*T2^20 + 
     112*T1^16*T2^20 - 96*T1^17*T2^20 + 72*T1^18*T2^20 - 32*T1^19*T2^20 + 
     8*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1115] -> 
  {(2 - 9*T + 22*T^2 - 32*T^3 + 35*T^4 - 32*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 68*T1 - 167*T1^2 + 244*T1^3 - 267*T1^4 + 244*T1^5 - 
     167*T1^6 + 68*T1^7 - 15*T1^8 + 68*T2 - 276*T1*T2 + 610*T1^2*T2 - 
     744*T1^3*T2 + 680*T1^4*T2 - 526*T1^5*T2 + 228*T1^6*T2 + 52*T1^7*T2 - 
     78*T1^8*T2 + 32*T1^9*T2 - 167*T2^2 + 610*T1*T2^2 - 1205*T1^2*T2^2 + 
     1122*T1^3*T2^2 - 670*T1^4*T2^2 + 209*T1^5*T2^2 + 474*T1^6*T2^2 - 
     902*T1^7*T2^2 + 555*T1^8*T2^2 - 182*T1^9*T2^2 + 9*T1^10*T2^2 + 
     244*T2^3 - 744*T1*T2^3 + 1122*T1^2*T2^3 - 120*T1^3*T2^3 - 
     964*T1^4*T2^3 + 1274*T1^5*T2^3 - 1624*T1^6*T2^3 + 1280*T1^7*T2^3 + 
     270*T1^8*T2^3 - 924*T1^9*T2^3 + 588*T1^10*T2^3 - 140*T1^11*T2^3 - 
     267*T2^4 + 680*T1*T2^4 - 670*T1^2*T2^4 - 964*T1^3*T2^4 + 
     1661*T1^4*T2^4 - 506*T1^5*T2^4 + 191*T1^6*T2^4 + 542*T1^7*T2^4 - 
     2347*T1^8*T2^4 + 1596*T1^9*T2^4 + 306*T1^10*T2^4 - 688*T1^11*T2^4 + 
     293*T1^12*T2^4 + 244*T2^5 - 526*T1*T2^5 + 209*T1^2*T2^5 + 
     1274*T1^3*T2^5 - 506*T1^4*T2^5 - 2699*T1^5*T2^5 + 2789*T1^6*T2^5 - 
     3269*T1^7*T2^5 + 4617*T1^8*T2^5 - 1400*T1^9*T2^5 - 1532*T1^10*T2^5 + 
     266*T1^11*T2^5 + 464*T1^12*T2^5 - 396*T1^13*T2^5 - 167*T2^6 + 
     228*T1*T2^6 + 474*T1^2*T2^6 - 1624*T1^3*T2^6 + 191*T1^4*T2^6 + 
     2789*T1^5*T2^6 - 192*T1^6*T2^6 + 376*T1^7*T2^6 - 1388*T1^8*T2^6 - 
     3063*T1^9*T2^6 + 3367*T1^10*T2^6 + 1412*T1^11*T2^6 - 1006*T1^12*T2^6 + 
     156*T1^13*T2^6 + 361*T1^14*T2^6 + 68*T2^7 + 52*T1*T2^7 - 902*T1^2*T2^7 + 
     1280*T1^3*T2^7 + 542*T1^4*T2^7 - 3269*T1^5*T2^7 + 376*T1^6*T2^7 - 
     3994*T1^7*T2^7 + 5710*T1^8*T2^7 - 1184*T1^9*T2^7 + 3201*T1^10*T2^7 - 
     6332*T1^11*T2^7 + 300*T1^12*T2^7 + 1012*T1^13*T2^7 - 794*T1^14*T2^7 - 
     184*T1^15*T2^7 - 15*T2^8 - 78*T1*T2^8 + 555*T1^2*T2^8 + 270*T1^3*T2^8 - 
     2347*T1^4*T2^8 + 4617*T1^5*T2^8 - 1388*T1^6*T2^8 + 5710*T1^7*T2^8 - 
     3600*T1^8*T2^8 - 2762*T1^9*T2^8 + 548*T1^10*T2^8 - 389*T1^11*T2^8 + 
     7381*T1^12*T2^8 - 3390*T1^13*T2^8 + 757*T1^14*T2^8 + 606*T1^15*T2^8 + 
     49*T1^16*T2^8 + 32*T1*T2^9 - 182*T1^2*T2^9 - 924*T1^3*T2^9 + 
     1596*T1^4*T2^9 - 1400*T1^5*T2^9 - 3063*T1^6*T2^9 - 1184*T1^7*T2^9 - 
     2762*T1^8*T2^9 + 6942*T1^9*T2^9 - 2744*T1^10*T2^9 + 3407*T1^11*T2^9 - 
     8274*T1^12*T2^9 + 616*T1^13*T2^9 + 990*T1^14*T2^9 - 1028*T1^15*T2^9 - 
     220*T1^16*T2^9 + 9*T1^2*T2^10 + 588*T1^3*T2^10 + 306*T1^4*T2^10 - 
     1532*T1^5*T2^10 + 3367*T1^6*T2^10 + 3201*T1^7*T2^10 + 548*T1^8*T2^10 - 
     2744*T1^9*T2^10 - 648*T1^10*T2^10 - 2651*T1^11*T2^10 + 
     6543*T1^12*T2^10 + 1504*T1^13*T2^10 - 1174*T1^14*T2^10 + 
     516*T1^15*T2^10 + 537*T1^16*T2^10 - 140*T1^3*T2^11 - 688*T1^4*T2^11 + 
     266*T1^5*T2^11 + 1412*T1^6*T2^11 - 6332*T1^7*T2^11 - 389*T1^8*T2^11 + 
     3407*T1^9*T2^11 - 2651*T1^10*T2^11 + 6927*T1^11*T2^11 - 
     7226*T1^12*T2^11 - 1394*T1^13*T2^11 + 323*T1^14*T2^11 + 
     302*T1^15*T2^11 - 780*T1^16*T2^11 + 293*T1^4*T2^12 + 464*T1^5*T2^12 - 
     1006*T1^6*T2^12 + 300*T1^7*T2^12 + 7381*T1^8*T2^12 - 8274*T1^9*T2^12 + 
     6543*T1^10*T2^12 - 7226*T1^11*T2^12 + 3373*T1^12*T2^12 + 
     2860*T1^13*T2^12 - 30*T1^14*T2^12 - 904*T1^15*T2^12 + 853*T1^16*T2^12 - 
     396*T1^5*T2^13 + 156*T1^6*T2^13 + 1012*T1^7*T2^13 - 3390*T1^8*T2^13 + 
     616*T1^9*T2^13 + 1504*T1^10*T2^13 - 1394*T1^11*T2^13 + 
     2860*T1^12*T2^13 - 3000*T1^13*T2^13 - 1034*T1^14*T2^13 + 
     1488*T1^15*T2^13 - 780*T1^16*T2^13 + 361*T1^6*T2^14 - 794*T1^7*T2^14 + 
     757*T1^8*T2^14 + 990*T1^9*T2^14 - 1174*T1^10*T2^14 + 323*T1^11*T2^14 - 
     30*T1^12*T2^14 - 1034*T1^13*T2^14 + 2517*T1^14*T2^14 - 
     1586*T1^15*T2^14 + 537*T1^16*T2^14 - 184*T1^7*T2^15 + 606*T1^8*T2^15 - 
     1028*T1^9*T2^15 + 516*T1^10*T2^15 + 302*T1^11*T2^15 - 904*T1^12*T2^15 + 
     1488*T1^13*T2^15 - 1586*T1^14*T2^15 + 804*T1^15*T2^15 - 
     220*T1^16*T2^15 + 49*T1^8*T2^16 - 220*T1^9*T2^16 + 537*T1^10*T2^16 - 
     780*T1^11*T2^16 + 853*T1^12*T2^16 - 780*T1^13*T2^16 + 537*T1^14*T2^16 - 
     220*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1116] -> 
  {(2 - 9*T + 23*T^2 - 37*T^3 + 43*T^4 - 37*T^5 + 23*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-15 + 68*T1 - 175*T1^2 + 284*T1^3 - 331*T1^4 + 284*T1^5 - 
     175*T1^6 + 68*T1^7 - 15*T1^8 + 68*T2 - 276*T1*T2 + 646*T1^2*T2 - 
     906*T1^3*T2 + 878*T1^4*T2 - 562*T1^5*T2 + 174*T1^6*T2 + 70*T1^7*T2 - 
     78*T1^8*T2 + 32*T1^9*T2 - 175*T2^2 + 646*T1*T2^2 - 1383*T1^2*T2^2 + 
     1627*T1^3*T2^2 - 1131*T1^4*T2^2 + 131*T1^5*T2^2 + 709*T1^6*T2^2 - 
     949*T1^7*T2^2 + 549*T1^8*T2^2 - 182*T1^9*T2^2 + 9*T1^10*T2^2 + 
     284*T2^3 - 906*T1*T2^3 + 1627*T1^2*T2^3 - 1145*T1^3*T2^3 - 
     294*T1^4*T2^3 + 1577*T1^5*T2^3 - 1663*T1^6*T2^3 + 582*T1^7*T2^3 + 
     889*T1^8*T2^3 - 1202*T1^9*T2^3 + 678*T1^10*T2^3 - 160*T1^11*T2^3 - 
     331*T2^4 + 878*T1*T2^4 - 1131*T1^2*T2^4 - 294*T1^3*T2^4 + 
     2056*T1^4*T2^4 - 2041*T1^5*T2^4 + 354*T1^6*T2^4 + 1647*T1^7*T2^4 - 
     2488*T1^8*T2^4 + 964*T1^9*T2^4 + 787*T1^10*T2^4 - 886*T1^11*T2^4 + 
     357*T1^12*T2^4 + 284*T2^5 - 562*T1*T2^5 + 131*T1^2*T2^5 + 
     1577*T1^3*T2^5 - 2041*T1^4*T2^5 - 1210*T1^5*T2^5 + 4504*T1^6*T2^5 - 
     5756*T1^7*T2^5 + 3908*T1^8*T2^5 + 96*T1^9*T2^5 - 2075*T1^10*T2^5 + 
     368*T1^11*T2^5 + 446*T1^12*T2^5 - 456*T1^13*T2^5 - 175*T2^6 + 
     174*T1*T2^6 + 709*T1^2*T2^6 - 1663*T1^3*T2^6 + 354*T1^4*T2^6 + 
     4504*T1^5*T2^6 - 4679*T1^6*T2^6 + 1619*T1^7*T2^6 + 3381*T1^8*T2^6 - 
     6480*T1^9*T2^6 + 4476*T1^10*T2^6 + 959*T1^11*T2^6 - 975*T1^12*T2^6 + 
     354*T1^13*T2^6 + 377*T1^14*T2^6 + 68*T2^7 + 70*T1*T2^7 - 949*T1^2*T2^7 + 
     582*T1^3*T2^7 + 1647*T1^4*T2^7 - 5756*T1^5*T2^7 + 1619*T1^6*T2^7 + 
     1831*T1^7*T2^7 - 4003*T1^8*T2^7 + 1790*T1^9*T2^7 + 3056*T1^10*T2^7 - 
     6694*T1^11*T2^7 + 1234*T1^12*T2^7 + 362*T1^13*T2^7 - 866*T1^14*T2^7 - 
     184*T1^15*T2^7 - 15*T2^8 - 78*T1*T2^8 + 549*T1^2*T2^8 + 889*T1^3*T2^8 - 
     2488*T1^4*T2^8 + 3908*T1^5*T2^8 + 3381*T1^6*T2^8 - 4003*T1^7*T2^8 + 
     2880*T1^8*T2^8 + 1427*T1^9*T2^8 - 3773*T1^10*T2^8 + 2828*T1^11*T2^8 + 
     4932*T1^12*T2^8 - 2685*T1^13*T2^8 + 1143*T1^14*T2^8 + 606*T1^15*T2^8 + 
     49*T1^16*T2^8 + 32*T1*T2^9 - 182*T1^2*T2^9 - 1202*T1^3*T2^9 + 
     964*T1^4*T2^9 + 96*T1^5*T2^9 - 6480*T1^6*T2^9 + 1790*T1^7*T2^9 + 
     1427*T1^8*T2^9 - 4407*T1^9*T2^9 + 1961*T1^10*T2^9 + 2332*T1^11*T2^9 - 
     8245*T1^12*T2^9 + 1616*T1^13*T2^9 + 109*T1^14*T2^9 - 1118*T1^15*T2^9 - 
     220*T1^16*T2^9 + 9*T1^2*T2^10 + 678*T1^3*T2^10 + 787*T1^4*T2^10 - 
     2075*T1^5*T2^10 + 4476*T1^6*T2^10 + 3056*T1^7*T2^10 - 3773*T1^8*T2^10 + 
     1961*T1^9*T2^10 + 4287*T1^10*T2^10 - 7928*T1^11*T2^10 + 
     8598*T1^12*T2^10 + 547*T1^13*T2^10 - 897*T1^14*T2^10 + 858*T1^15*T2^10 + 
     561*T1^16*T2^10 - 160*T1^3*T2^11 - 886*T1^4*T2^11 + 368*T1^5*T2^11 + 
     959*T1^6*T2^11 - 6694*T1^7*T2^11 + 2828*T1^8*T2^11 + 2332*T1^9*T2^11 - 
     7928*T1^10*T2^11 + 7946*T1^11*T2^11 - 4557*T1^12*T2^11 - 
     2693*T1^13*T2^11 + 605*T1^14*T2^11 + 122*T1^15*T2^11 - 900*T1^16*T2^11 + 
     357*T1^4*T2^12 + 446*T1^5*T2^12 - 975*T1^6*T2^12 + 1234*T1^7*T2^12 + 
     4932*T1^8*T2^12 - 8245*T1^9*T2^12 + 8598*T1^10*T2^12 - 
     4557*T1^11*T2^12 + 388*T1^12*T2^12 + 2492*T1^13*T2^12 + 
     943*T1^14*T2^12 - 1318*T1^15*T2^12 + 1045*T1^16*T2^12 - 456*T1^5*T2^13 + 
     354*T1^6*T2^13 + 362*T1^7*T2^13 - 2685*T1^8*T2^13 + 1616*T1^9*T2^13 + 
     547*T1^10*T2^13 - 2693*T1^11*T2^13 + 2492*T1^12*T2^13 - 
     651*T1^13*T2^13 - 2467*T1^14*T2^13 + 1938*T1^15*T2^13 - 
     900*T1^16*T2^13 + 377*T1^6*T2^14 - 866*T1^7*T2^14 + 1143*T1^8*T2^14 + 
     109*T1^9*T2^14 - 897*T1^10*T2^14 + 605*T1^11*T2^14 + 943*T1^12*T2^14 - 
     2467*T1^13*T2^14 + 3075*T1^14*T2^14 - 1694*T1^15*T2^14 + 
     561*T1^16*T2^14 - 184*T1^7*T2^15 + 606*T1^8*T2^15 - 1118*T1^9*T2^15 + 
     858*T1^10*T2^15 + 122*T1^11*T2^15 - 1318*T1^12*T2^15 + 
     1938*T1^13*T2^15 - 1694*T1^14*T2^15 + 804*T1^15*T2^15 - 
     220*T1^16*T2^15 + 49*T1^8*T2^16 - 220*T1^9*T2^16 + 561*T1^10*T2^16 - 
     900*T1^11*T2^16 + 1045*T1^12*T2^16 - 900*T1^13*T2^16 + 561*T1^14*T2^16 - 
     220*T1^15*T2^16 + 49*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1117] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((-324 + 2096*T1 - 5138*T1^2 + 6818*T1^3 - 5138*T1^4 + 2096*T1^5 - 
      324*T1^6 + 2096*T2 - 11880*T1*T2 + 22398*T1^2*T2 - 17532*T1^3*T2 - 
      2036*T1^4*T2 + 13038*T1^5*T2 - 8760*T1^6*T2 + 1680*T1^7*T2 - 
      5138*T2^2 + 22398*T1*T2^2 - 14817*T1^2*T2^2 - 42805*T1^3*T2^2 + 
      96437*T1^4*T2^2 - 73013*T1^5*T2^2 + 15903*T1^6*T2^2 + 9086*T1^7*T2^2 - 
      3090*T1^8*T2^2 + 6818*T2^3 - 17532*T1*T2^3 - 42805*T1^2*T2^3 + 
      150122*T1^3*T2^3 - 152538*T1^4*T2^3 + 3598*T1^5*T2^3 + 
      91142*T1^6*T2^3 - 58165*T1^7*T2^3 + 2332*T1^8*T2^3 + 2738*T1^9*T2^3 - 
      5138*T2^4 - 2036*T1*T2^4 + 96437*T1^2*T2^4 - 152538*T1^3*T2^4 + 
      1926*T1^4*T2^4 + 224972*T1^5*T2^4 - 197414*T1^6*T2^4 + 
      25622*T1^7*T2^4 + 47053*T1^8*T2^4 - 10980*T1^9*T2^4 - 1042*T1^10*T2^4 + 
      2096*T2^5 + 13038*T1*T2^5 - 73013*T1^2*T2^5 + 3598*T1^3*T2^5 + 
      224972*T1^4*T2^5 - 314330*T1^5*T2^5 + 62550*T1^6*T2^5 + 
      146380*T1^7*T2^5 - 108490*T1^8*T2^5 + 1739*T1^9*T2^5 + 
      6590*T1^10*T2^5 + 16*T1^11*T2^5 - 324*T2^6 - 8760*T1*T2^6 + 
      15903*T1^2*T2^6 + 91142*T1^3*T2^6 - 197414*T1^4*T2^6 + 
      62550*T1^5*T2^6 + 232236*T1^6*T2^6 - 261034*T1^7*T2^6 + 
      70410*T1^8*T2^6 + 43046*T1^9*T2^6 - 15489*T1^10*T2^6 - 440*T1^11*T2^6 + 
      60*T1^12*T2^6 + 1680*T1*T2^7 + 9086*T1^2*T2^7 - 58165*T1^3*T2^7 + 
      25622*T1^4*T2^7 + 146380*T1^5*T2^7 - 261034*T1^6*T2^7 + 
      115846*T1^7*T2^7 + 67788*T1^8*T2^7 - 86466*T1^9*T2^7 + 
      16587*T1^10*T2^7 + 2638*T1^11*T2^7 - 400*T1^12*T2^7 - 3090*T1^2*T2^8 + 
      2332*T1^3*T2^8 + 47053*T1^4*T2^8 - 108490*T1^5*T2^8 + 70410*T1^6*T2^8 + 
      67788*T1^7*T2^8 - 128930*T1^8*T2^8 + 69670*T1^9*T2^8 - 
      2331*T1^10*T2^8 - 6612*T1^11*T2^8 + 1006*T1^12*T2^8 + 2738*T1^3*T2^9 - 
      10980*T1^4*T2^9 + 1739*T1^5*T2^9 + 43046*T1^6*T2^9 - 86466*T1^7*T2^9 + 
      69670*T1^8*T2^9 - 15934*T1^9*T2^9 - 13621*T1^10*T2^9 + 
      8884*T1^11*T2^9 - 1342*T1^12*T2^9 - 1042*T1^4*T2^10 + 6590*T1^5*T2^10 - 
      15489*T1^6*T2^10 + 16587*T1^7*T2^10 - 2331*T1^8*T2^10 - 
      13621*T1^9*T2^10 + 15231*T1^10*T2^10 - 6722*T1^11*T2^10 + 
      1006*T1^12*T2^10 + 16*T1^5*T2^11 - 440*T1^6*T2^11 + 2638*T1^7*T2^11 - 
      6612*T1^8*T2^11 + 8884*T1^9*T2^11 - 6722*T1^10*T2^11 + 
      2680*T1^11*T2^11 - 400*T1^12*T2^11 + 60*T1^6*T2^12 - 400*T1^7*T2^12 + 
      1006*T1^8*T2^12 - 1342*T1^9*T2^12 + 1006*T1^10*T2^12 - 
      400*T1^11*T2^12 + 60*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1118] -> 
  {(3 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-45 + 180*T1 - 392*T1^2 + 501*T1^3 - 392*T1^4 + 180*T1^5 - 45*T1^6 + 
     180*T2 - 648*T1*T2 + 1280*T1^2*T2 - 1372*T1^3*T2 + 752*T1^4*T2 - 
     88*T1^5*T2 - 108*T1^6*T2 + 72*T1^7*T2 - 392*T2^2 + 1280*T1*T2^2 - 
     2228*T1^2*T2^2 + 1674*T1^3*T2^2 + 276*T1^4*T2^2 - 1602*T1^5*T2^2 + 
     1360*T1^6*T2^2 - 592*T1^7*T2^2 + 76*T1^8*T2^2 + 501*T2^3 - 
     1372*T1*T2^3 + 1674*T1^2*T2^3 + 493*T1^3*T2^3 - 3591*T1^4*T2^3 + 
     3531*T1^5*T2^3 - 671*T1^6*T2^3 - 1368*T1^7*T2^3 + 1256*T1^8*T2^3 - 
     390*T1^9*T2^3 - 392*T2^4 + 752*T1*T2^4 + 276*T1^2*T2^4 - 
     3591*T1^3*T2^4 + 5639*T1^4*T2^4 - 1457*T1^5*T2^4 - 3817*T1^6*T2^4 + 
     4329*T1^7*T2^4 - 1116*T1^8*T2^4 - 616*T1^9*T2^4 + 544*T1^10*T2^4 + 
     180*T2^5 - 88*T1*T2^5 - 1602*T1^2*T2^5 + 3531*T1^3*T2^5 - 
     1457*T1^4*T2^5 - 7220*T1^5*T2^5 + 10534*T1^6*T2^5 - 5045*T1^7*T2^5 - 
     1995*T1^8*T2^5 + 2376*T1^9*T2^5 - 736*T1^10*T2^5 - 360*T1^11*T2^5 - 
     45*T2^6 - 108*T1*T2^6 + 1360*T1^2*T2^6 - 671*T1^3*T2^6 - 
     3817*T1^4*T2^6 + 10534*T1^5*T2^6 - 5508*T1^6*T2^6 - 5258*T1^7*T2^6 + 
     9675*T1^8*T2^6 - 3701*T1^9*T2^6 - 92*T1^10*T2^6 + 972*T1^11*T2^6 + 
     117*T1^12*T2^6 + 72*T1*T2^7 - 592*T1^2*T2^7 - 1368*T1^3*T2^7 + 
     4329*T1^4*T2^7 - 5045*T1^5*T2^7 - 5258*T1^6*T2^7 + 12496*T1^7*T2^7 - 
     8633*T1^8*T2^7 - 1197*T1^9*T2^7 + 2610*T1^10*T2^7 - 1240*T1^11*T2^7 - 
     468*T1^12*T2^7 + 76*T1^2*T2^8 + 1256*T1^3*T2^8 - 1116*T1^4*T2^8 - 
     1995*T1^5*T2^8 + 9675*T1^6*T2^8 - 8633*T1^7*T2^8 + 219*T1^8*T2^8 + 
     5925*T1^9*T2^8 - 2508*T1^10*T2^8 - 112*T1^11*T2^8 + 1012*T1^12*T2^8 - 
     390*T1^3*T2^9 - 616*T1^4*T2^9 + 2376*T1^5*T2^9 - 3701*T1^6*T2^9 - 
     1197*T1^7*T2^9 + 5925*T1^8*T2^9 - 4865*T1^9*T2^9 - 666*T1^10*T2^9 + 
     2012*T1^11*T2^9 - 1281*T1^12*T2^9 + 544*T1^4*T2^10 - 736*T1^5*T2^10 - 
     92*T1^6*T2^10 + 2610*T1^7*T2^10 - 2508*T1^8*T2^10 - 666*T1^9*T2^10 + 
     3496*T1^10*T2^10 - 2608*T1^11*T2^10 + 1012*T1^12*T2^10 - 
     360*T1^5*T2^11 + 972*T1^6*T2^11 - 1240*T1^7*T2^11 - 112*T1^8*T2^11 + 
     2012*T1^9*T2^11 - 2608*T1^10*T2^11 + 1512*T1^11*T2^11 - 
     468*T1^12*T2^11 + 117*T1^6*T2^12 - 468*T1^7*T2^12 + 1012*T1^8*T2^12 - 
     1281*T1^9*T2^12 + 1012*T1^10*T2^12 - 468*T1^11*T2^12 + 117*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1119] -> 
  {((2 - 3*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 3*T^3 + 2*T^4))/T^4, 
   (-33 + 148*T1 - 345*T1^2 + 542*T1^3 - 641*T1^4 + 542*T1^5 - 345*T1^6 + 
     148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 1262*T1^3*T2 + 
     1038*T1^4*T2 - 258*T1^5*T2 - 290*T1^6*T2 + 506*T1^7*T2 - 354*T1^8*T2 + 
     112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1533*T1^2*T2^2 + 
     1217*T1^3*T2^2 - 322*T1^4*T2^2 - 1157*T1^5*T2^2 + 1190*T1^6*T2^2 - 
     799*T1^7*T2^2 + 63*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     542*T2^3 - 1262*T1*T2^3 + 1217*T1^2*T2^3 - 121*T1^3*T2^3 - 
     982*T1^4*T2^3 + 2304*T1^5*T2^3 - 612*T1^6*T2^3 - 280*T1^7*T2^3 + 
     1139*T1^8*T2^3 - 862*T1^9*T2^3 + 142*T1^10*T2^3 + 146*T1^11*T2^3 - 
     641*T2^4 + 1038*T1*T2^4 - 322*T1^2*T2^4 - 982*T1^3*T2^4 + 
     1327*T1^4*T2^4 - 1835*T1^5*T2^4 - 1495*T1^6*T2^4 + 1369*T1^7*T2^4 - 
     1385*T1^8*T2^4 + 8*T1^9*T2^4 + 884*T1^10*T2^4 - 582*T1^11*T2^4 - 
     17*T1^12*T2^4 + 542*T2^5 - 258*T1*T2^5 - 1157*T1^2*T2^5 + 
     2304*T1^3*T2^5 - 1835*T1^4*T2^5 + 1688*T1^5*T2^5 + 2430*T1^6*T2^5 - 
     504*T1^7*T2^5 + 116*T1^8*T2^5 + 1360*T1^9*T2^5 - 1296*T1^10*T2^5 + 
     4*T1^11*T2^5 + 606*T1^12*T2^5 - 118*T1^13*T2^5 - 345*T2^6 - 
     290*T1*T2^6 + 1190*T1^2*T2^6 - 612*T1^3*T2^6 - 1495*T1^4*T2^6 + 
     2430*T1^5*T2^6 - 5599*T1^6*T2^6 + 849*T1^7*T2^6 + 161*T1^8*T2^6 - 
     1242*T1^9*T2^6 + 251*T1^10*T2^6 + 1278*T1^11*T2^6 - 934*T1^12*T2^6 - 
     182*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     799*T1^2*T2^7 - 280*T1^3*T2^7 + 1369*T1^4*T2^7 - 504*T1^5*T2^7 + 
     849*T1^6*T2^7 + 4419*T1^7*T2^7 - 2943*T1^8*T2^7 + 984*T1^9*T2^7 + 
     954*T1^10*T2^7 - 1862*T1^11*T2^7 + 170*T1^12*T2^7 + 902*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 63*T1^2*T2^8 + 
     1139*T1^3*T2^8 - 1385*T1^4*T2^8 + 116*T1^5*T2^8 + 161*T1^6*T2^8 - 
     2943*T1^7*T2^8 - 432*T1^8*T2^8 + 2871*T1^9*T2^8 - 2209*T1^10*T2^8 + 
     1184*T1^11*T2^8 + 1267*T1^12*T2^8 - 1231*T1^13*T2^8 - 111*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     862*T1^3*T2^9 + 8*T1^4*T2^9 + 1360*T1^5*T2^9 - 1242*T1^6*T2^9 + 
     984*T1^7*T2^9 + 2871*T1^8*T2^9 - 4491*T1^9*T2^9 + 1119*T1^10*T2^9 + 
     216*T1^11*T2^9 - 1871*T1^12*T2^9 + 458*T1^13*T2^9 + 839*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 142*T1^3*T2^10 + 
     884*T1^4*T2^10 - 1296*T1^5*T2^10 + 251*T1^6*T2^10 + 954*T1^7*T2^10 - 
     2209*T1^8*T2^10 + 1119*T1^9*T2^10 + 3551*T1^10*T2^10 - 
     2718*T1^11*T2^10 + 1997*T1^12*T2^10 + 594*T1^13*T2^10 - 
     1240*T1^14*T2^10 + 250*T1^15*T2^10 + 327*T1^16*T2^10 + 146*T1^3*T2^11 - 
     582*T1^4*T2^11 + 4*T1^5*T2^11 + 1278*T1^6*T2^11 - 1862*T1^7*T2^11 + 
     1184*T1^8*T2^11 + 216*T1^9*T2^11 - 2718*T1^10*T2^11 - 388*T1^11*T2^11 + 
     1333*T1^12*T2^11 - 2322*T1^13*T2^11 + 1165*T1^14*T2^11 + 
     282*T1^15*T2^11 - 514*T1^16*T2^11 - 17*T1^4*T2^12 + 606*T1^5*T2^12 - 
     934*T1^6*T2^12 + 170*T1^7*T2^12 + 1267*T1^8*T2^12 - 1871*T1^9*T2^12 + 
     1997*T1^10*T2^12 + 1333*T1^11*T2^12 - 1445*T1^12*T2^12 + 
     1160*T1^13*T2^12 + 272*T1^14*T2^12 - 1014*T1^15*T2^12 + 
     607*T1^16*T2^12 - 118*T1^5*T2^13 - 182*T1^6*T2^13 + 902*T1^7*T2^13 - 
     1231*T1^8*T2^13 + 458*T1^9*T2^13 + 594*T1^10*T2^13 - 2322*T1^11*T2^13 + 
     1160*T1^12*T2^13 + 29*T1^13*T2^13 - 1177*T1^14*T2^13 + 
     1222*T1^15*T2^13 - 514*T1^16*T2^13 + 159*T1^6*T2^14 - 250*T1^7*T2^14 - 
     111*T1^8*T2^14 + 839*T1^9*T2^14 - 1240*T1^10*T2^14 + 1165*T1^11*T2^14 + 
     272*T1^12*T2^14 - 1177*T1^13*T2^14 + 1485*T1^14*T2^14 - 
     1006*T1^15*T2^14 + 327*T1^16*T2^14 - 104*T1^7*T2^15 + 330*T1^8*T2^15 - 
     466*T1^9*T2^15 + 250*T1^10*T2^15 + 282*T1^11*T2^15 - 1014*T1^12*T2^15 + 
     1222*T1^13*T2^15 - 1006*T1^14*T2^15 + 528*T1^15*T2^15 - 
     140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 327*T1^10*T2^16 - 
     514*T1^11*T2^16 + 607*T1^12*T2^16 - 514*T1^13*T2^16 + 327*T1^14*T2^16 - 
     140*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1120] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 6*T^3 + 7*T^4 - 6*T^5 + 5*T^6 - 3*T^7 + 
      T^8))/T^5, (-4 + 16*T1 - 36*T1^2 + 56*T1^3 - 72*T1^4 + 76*T1^5 - 
     72*T1^6 + 56*T1^7 - 36*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 
     96*T1^2*T2 - 116*T1^3*T2 + 120*T1^4*T2 - 88*T1^5*T2 + 60*T1^6*T2 - 
     8*T1^7*T2 - 24*T1^8*T2 + 44*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 
     36*T2^2 + 96*T1*T2^2 - 149*T1^2*T2^2 + 142*T1^3*T2^2 - 136*T1^4*T2^2 + 
     74*T1^5*T2^2 - 65*T1^6*T2^2 - 16*T1^7*T2^2 + 26*T1^8*T2^2 - 
     38*T1^9*T2^2 - 5*T1^10*T2^2 + 24*T1^11*T2^2 - 18*T1^12*T2^2 + 56*T2^3 - 
     116*T1*T2^3 + 142*T1^2*T2^3 - 86*T1^3*T2^3 + 93*T1^4*T2^3 - 
     19*T1^5*T2^3 + 68*T1^6*T2^3 + 56*T1^7*T2^3 + 5*T1^8*T2^3 - 3*T1^9*T2^3 + 
     76*T1^10*T2^3 - 56*T1^11*T2^3 + 16*T1^12*T2^3 + 14*T1^13*T2^3 - 
     72*T2^4 + 120*T1*T2^4 - 136*T1^2*T2^4 + 93*T1^3*T2^4 - 188*T1^4*T2^4 + 
     131*T1^5*T2^4 - 236*T1^6*T2^4 + 18*T1^7*T2^4 - 148*T1^8*T2^4 + 
     59*T1^9*T2^4 - 84*T1^10*T2^4 - 19*T1^11*T2^4 + 64*T1^12*T2^4 - 
     56*T1^13*T2^4 + 76*T2^5 - 88*T1*T2^5 + 74*T1^2*T2^5 - 19*T1^3*T2^5 + 
     131*T1^4*T2^5 - 7*T1^5*T2^5 + 110*T1^6*T2^5 + 176*T1^7*T2^5 + 
     111*T1^8*T2^5 + 36*T1^9*T2^5 + 39*T1^10*T2^5 + 23*T1^11*T2^5 - 
     3*T1^12*T2^5 - 43*T1^13*T2^5 + 76*T1^14*T2^5 - 19*T1^15*T2^5 - 72*T2^6 + 
     60*T1*T2^6 - 65*T1^2*T2^6 + 68*T1^3*T2^6 - 236*T1^4*T2^6 + 
     110*T1^5*T2^6 - 259*T1^6*T2^6 - 30*T1^7*T2^6 - 345*T1^8*T2^6 + 
     6*T1^9*T2^6 - 67*T1^10*T2^6 - 14*T1^11*T2^6 + 44*T1^12*T2^6 - 
     4*T1^13*T2^6 + 15*T1^14*T2^6 - 68*T1^15*T2^6 + 36*T1^16*T2^6 + 56*T2^7 - 
     8*T1*T2^7 - 16*T1^2*T2^7 + 56*T1^3*T2^7 + 18*T1^4*T2^7 + 176*T1^5*T2^7 - 
     30*T1^6*T2^7 + 255*T1^7*T2^7 + 221*T1^8*T2^7 + 135*T1^9*T2^7 + 
     105*T1^10*T2^7 - 84*T1^11*T2^7 - 23*T1^12*T2^7 - 63*T1^13*T2^7 - 
     12*T1^14*T2^7 + 29*T1^15*T2^7 + 24*T1^16*T2^7 - 42*T1^17*T2^7 - 
     36*T2^8 - 24*T1*T2^8 + 26*T1^2*T2^8 + 5*T1^3*T2^8 - 148*T1^4*T2^8 + 
     111*T1^5*T2^8 - 345*T1^6*T2^8 + 221*T1^7*T2^8 - 572*T1^8*T2^8 + 
     56*T1^9*T2^8 - 184*T1^10*T2^8 - 7*T1^11*T2^8 + 263*T1^12*T2^8 - 
     25*T1^13*T2^8 + 148*T1^14*T2^8 - 39*T1^15*T2^8 - 22*T1^16*T2^8 + 
     24*T1^17*T2^8 + 36*T1^18*T2^8 + 16*T2^9 + 44*T1*T2^9 - 38*T1^2*T2^9 - 
     3*T1^3*T2^9 + 59*T1^4*T2^9 + 36*T1^5*T2^9 + 6*T1^6*T2^9 + 
     135*T1^7*T2^9 + 56*T1^8*T2^9 + 236*T1^9*T2^9 + 92*T1^10*T2^9 - 
     124*T1^11*T2^9 - 63*T1^12*T2^9 - 300*T1^13*T2^9 - 90*T1^14*T2^9 - 
     49*T1^15*T2^9 - 3*T1^16*T2^9 + 16*T1^17*T2^9 - 64*T1^18*T2^9 - 
     20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 5*T1^2*T2^10 + 76*T1^3*T2^10 - 
     84*T1^4*T2^10 + 39*T1^5*T2^10 - 67*T1^6*T2^10 + 105*T1^7*T2^10 - 
     184*T1^8*T2^10 + 92*T1^9*T2^10 - 168*T1^10*T2^10 + 32*T1^11*T2^10 + 
     448*T1^12*T2^10 - 117*T1^13*T2^10 + 637*T1^14*T2^10 - 187*T1^15*T2^10 + 
     190*T1^16*T2^10 - 72*T1^17*T2^10 + 59*T1^18*T2^10 + 56*T1^19*T2^10 + 
     6*T1^20*T2^10 + 12*T1*T2^11 + 24*T1^2*T2^11 - 56*T1^3*T2^11 - 
     19*T1^4*T2^11 + 23*T1^5*T2^11 - 14*T1^6*T2^11 - 84*T1^7*T2^11 - 
     7*T1^8*T2^11 - 124*T1^9*T2^11 + 32*T1^10*T2^11 - 112*T1^11*T2^11 - 
     304*T1^12*T2^11 - 205*T1^13*T2^11 - 390*T1^14*T2^11 - 140*T1^15*T2^11 - 
     85*T1^16*T2^11 - 19*T1^17*T2^11 - 2*T1^18*T2^11 - 84*T1^19*T2^11 - 
     24*T1^20*T2^11 - 18*T1^2*T2^12 + 16*T1^3*T2^12 + 64*T1^4*T2^12 - 
     3*T1^5*T2^12 + 44*T1^6*T2^12 - 23*T1^7*T2^12 + 263*T1^8*T2^12 - 
     63*T1^9*T2^12 + 448*T1^10*T2^12 - 304*T1^11*T2^12 + 836*T1^12*T2^12 - 
     291*T1^13*T2^12 + 871*T1^14*T2^12 - 159*T1^15*T2^12 + 340*T1^16*T2^12 - 
     47*T1^17*T2^12 + 16*T1^18*T2^12 + 64*T1^19*T2^12 + 54*T1^20*T2^12 + 
     14*T1^3*T2^13 - 56*T1^4*T2^13 - 43*T1^5*T2^13 - 4*T1^6*T2^13 - 
     63*T1^7*T2^13 - 25*T1^8*T2^13 - 300*T1^9*T2^13 - 117*T1^10*T2^13 - 
     205*T1^11*T2^13 - 291*T1^12*T2^13 - 267*T1^13*T2^13 - 354*T1^14*T2^13 - 
     224*T1^15*T2^13 - 144*T1^16*T2^13 - 72*T1^17*T2^13 + 2*T1^18*T2^13 - 
     24*T1^19*T2^13 - 84*T1^20*T2^13 + 76*T1^5*T2^14 + 15*T1^6*T2^14 - 
     12*T1^7*T2^14 + 148*T1^8*T2^14 - 90*T1^9*T2^14 + 637*T1^10*T2^14 - 
     390*T1^11*T2^14 + 871*T1^12*T2^14 - 354*T1^13*T2^14 + 829*T1^14*T2^14 - 
     214*T1^15*T2^14 + 428*T1^16*T2^14 - 84*T1^17*T2^14 + 95*T1^18*T2^14 - 
     52*T1^19*T2^14 + 108*T1^20*T2^14 - 19*T1^5*T2^15 - 68*T1^6*T2^15 + 
     29*T1^7*T2^15 - 39*T1^8*T2^15 - 49*T1^9*T2^15 - 187*T1^10*T2^15 - 
     140*T1^11*T2^15 - 159*T1^12*T2^15 - 224*T1^13*T2^15 - 214*T1^14*T2^15 - 
     141*T1^15*T2^15 - 157*T1^16*T2^15 - 23*T1^17*T2^15 - 88*T1^18*T2^15 + 
     96*T1^19*T2^15 - 114*T1^20*T2^15 + 36*T1^6*T2^16 + 24*T1^7*T2^16 - 
     22*T1^8*T2^16 - 3*T1^9*T2^16 + 190*T1^10*T2^16 - 85*T1^11*T2^16 + 
     340*T1^12*T2^16 - 144*T1^13*T2^16 + 428*T1^14*T2^16 - 157*T1^15*T2^16 + 
     294*T1^16*T2^16 - 115*T1^17*T2^16 + 178*T1^18*T2^16 - 152*T1^19*T2^16 + 
     108*T1^20*T2^16 - 42*T1^7*T2^17 + 24*T1^8*T2^17 + 16*T1^9*T2^17 - 
     72*T1^10*T2^17 - 19*T1^11*T2^17 - 47*T1^12*T2^17 - 72*T1^13*T2^17 - 
     84*T1^14*T2^17 - 23*T1^15*T2^17 - 115*T1^16*T2^17 + 90*T1^17*T2^17 - 
     182*T1^18*T2^17 + 156*T1^19*T2^17 - 84*T1^20*T2^17 + 36*T1^8*T2^18 - 
     64*T1^9*T2^18 + 59*T1^10*T2^18 - 2*T1^11*T2^18 + 16*T1^12*T2^18 + 
     2*T1^13*T2^18 + 95*T1^14*T2^18 - 88*T1^15*T2^18 + 178*T1^16*T2^18 - 
     182*T1^17*T2^18 + 203*T1^18*T2^18 - 136*T1^19*T2^18 + 54*T1^20*T2^18 - 
     20*T1^9*T2^19 + 56*T1^10*T2^19 - 84*T1^11*T2^19 + 64*T1^12*T2^19 - 
     24*T1^13*T2^19 - 52*T1^14*T2^19 + 96*T1^15*T2^19 - 152*T1^16*T2^19 + 
     156*T1^17*T2^19 - 136*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 
     6*T1^10*T2^20 - 24*T1^11*T2^20 + 54*T1^12*T2^20 - 84*T1^13*T2^20 + 
     108*T1^14*T2^20 - 114*T1^15*T2^20 + 108*T1^16*T2^20 - 84*T1^17*T2^20 + 
     54*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1121] -> 
  {(2 - 9*T + 22*T^2 - 36*T^3 + 43*T^4 - 36*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 140*T1 - 343*T1^2 + 562*T1^3 - 671*T1^4 + 562*T1^5 - 
     343*T1^6 + 140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 1078*T1^2*T2 - 
     1384*T1^3*T2 + 1140*T1^4*T2 - 282*T1^5*T2 - 340*T1^6*T2 + 520*T1^7*T2 - 
     330*T1^8*T2 + 104*T1^9*T2 - 343*T2^2 + 1078*T1*T2^2 - 1827*T1^2*T2^2 + 
     1740*T1^3*T2^2 - 694*T1^4*T2^2 - 993*T1^5*T2^2 + 1154*T1^6*T2^2 - 
     636*T1^7*T2^2 - 67*T1^8*T2^2 + 286*T1^9*T2^2 - 167*T1^10*T2^2 + 
     562*T2^3 - 1384*T1*T2^3 + 1740*T1^2*T2^3 - 674*T1^3*T2^3 - 
     1022*T1^4*T2^3 + 2516*T1^5*T2^3 - 598*T1^6*T2^3 - 770*T1^7*T2^3 + 
     1396*T1^8*T2^3 - 834*T1^9*T2^3 + 164*T1^10*T2^3 + 130*T1^11*T2^3 - 
     671*T2^4 + 1140*T1*T2^4 - 694*T1^2*T2^4 - 1022*T1^3*T2^4 + 
     2061*T1^4*T2^4 - 1861*T1^5*T2^4 - 2331*T1^6*T2^4 + 2459*T1^7*T2^4 - 
     1331*T1^8*T2^4 - 446*T1^9*T2^4 + 1042*T1^10*T2^4 - 660*T1^11*T2^4 + 
     17*T1^12*T2^4 + 562*T2^5 - 282*T1*T2^5 - 993*T1^2*T2^5 + 
     2516*T1^3*T2^5 - 1861*T1^4*T2^5 - 289*T1^5*T2^5 + 4802*T1^6*T2^5 - 
     1588*T1^7*T2^5 - 1045*T1^8*T2^5 + 2225*T1^9*T2^5 - 1354*T1^10*T2^5 - 
     48*T1^11*T2^5 + 636*T1^12*T2^5 - 158*T1^13*T2^5 - 343*T2^6 - 
     340*T1*T2^6 + 1154*T1^2*T2^6 - 598*T1^3*T2^6 - 2331*T1^4*T2^6 + 
     4802*T1^5*T2^6 - 5804*T1^6*T2^6 - 1718*T1^7*T2^6 + 4216*T1^8*T2^6 - 
     2650*T1^9*T2^6 + 205*T1^10*T2^6 + 1382*T1^11*T2^6 - 918*T1^12*T2^6 - 
     124*T1^13*T2^6 + 185*T1^14*T2^6 + 140*T2^7 + 520*T1*T2^7 - 
     636*T1^2*T2^7 - 770*T1^3*T2^7 + 2459*T1^4*T2^7 - 1588*T1^5*T2^7 - 
     1718*T1^6*T2^7 + 8232*T1^7*T2^7 - 5556*T1^8*T2^7 - 638*T1^9*T2^7 + 
     2678*T1^10*T2^7 - 2563*T1^11*T2^7 + 274*T1^12*T2^7 + 750*T1^13*T2^7 - 
     326*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 - 67*T1^2*T2^8 + 
     1396*T1^3*T2^8 - 1331*T1^4*T2^8 - 1045*T1^5*T2^8 + 4216*T1^6*T2^8 - 
     5556*T1^7*T2^8 - 420*T1^8*T2^8 + 6036*T1^9*T2^8 - 3184*T1^10*T2^8 + 
     845*T1^11*T2^8 + 1813*T1^12*T2^8 - 1304*T1^13*T2^8 + 135*T1^14*T2^8 + 
     354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 286*T1^2*T2^9 - 
     834*T1^3*T2^9 - 446*T1^4*T2^9 + 2225*T1^5*T2^9 - 2650*T1^6*T2^9 - 
     638*T1^7*T2^9 + 6036*T1^8*T2^9 - 7752*T1^9*T2^9 + 442*T1^10*T2^9 + 
     1616*T1^11*T2^9 - 2797*T1^12*T2^9 + 598*T1^13*T2^9 + 552*T1^14*T2^9 - 
     560*T1^15*T2^9 - 148*T1^16*T2^9 - 167*T1^2*T2^10 + 164*T1^3*T2^10 + 
     1042*T1^4*T2^10 - 1354*T1^5*T2^10 + 205*T1^6*T2^10 + 2678*T1^7*T2^10 - 
     3184*T1^8*T2^10 + 442*T1^9*T2^10 + 6836*T1^10*T2^10 - 4774*T1^11*T2^10 + 
     2741*T1^12*T2^10 + 626*T1^13*T2^10 - 1030*T1^14*T2^10 + 
     380*T1^15*T2^10 + 361*T1^16*T2^10 + 130*T1^3*T2^11 - 660*T1^4*T2^11 - 
     48*T1^5*T2^11 + 1382*T1^6*T2^11 - 2563*T1^7*T2^11 + 845*T1^8*T2^11 + 
     1616*T1^9*T2^11 - 4774*T1^10*T2^11 + 89*T1^11*T2^11 + 1523*T1^12*T2^11 - 
     2488*T1^13*T2^11 + 897*T1^14*T2^11 + 258*T1^15*T2^11 - 590*T1^16*T2^11 + 
     17*T1^4*T2^12 + 636*T1^5*T2^12 - 918*T1^6*T2^12 + 274*T1^7*T2^12 + 
     1813*T1^8*T2^12 - 2797*T1^9*T2^12 + 2741*T1^10*T2^12 + 
     1523*T1^11*T2^12 - 1579*T1^12*T2^12 + 850*T1^13*T2^12 + 
     818*T1^14*T2^12 - 1164*T1^15*T2^12 + 705*T1^16*T2^12 - 158*T1^5*T2^13 - 
     124*T1^6*T2^13 + 750*T1^7*T2^13 - 1304*T1^8*T2^13 + 598*T1^9*T2^13 + 
     626*T1^10*T2^13 - 2488*T1^11*T2^13 + 850*T1^12*T2^13 + 766*T1^13*T2^13 - 
     1824*T1^14*T2^13 + 1424*T1^15*T2^13 - 590*T1^16*T2^13 + 185*T1^6*T2^14 - 
     326*T1^7*T2^14 + 135*T1^8*T2^14 + 552*T1^9*T2^14 - 1030*T1^10*T2^14 + 
     897*T1^11*T2^14 + 818*T1^12*T2^14 - 1824*T1^13*T2^14 + 
     1895*T1^14*T2^14 - 1118*T1^15*T2^14 + 361*T1^16*T2^14 - 112*T1^7*T2^15 + 
     354*T1^8*T2^15 - 560*T1^9*T2^15 + 380*T1^10*T2^15 + 258*T1^11*T2^15 - 
     1164*T1^12*T2^15 + 1424*T1^13*T2^15 - 1118*T1^14*T2^15 + 
     552*T1^15*T2^15 - 148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 
     361*T1^10*T2^16 - 590*T1^11*T2^16 + 705*T1^12*T2^16 - 590*T1^13*T2^16 + 
     361*T1^14*T2^16 - 148*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1122] -> 
  {(1 - 8*T + 30*T^2 - 63*T^3 + 81*T^4 - 63*T^5 + 30*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 120*T1^2 + 252*T1^3 - 324*T1^4 + 252*T1^5 - 120*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 768*T1^2*T2 - 1296*T1^3*T2 + 
     1080*T1^4*T2 - 72*T1^5*T2 - 552*T1^6*T2 + 464*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 120*T2^2 + 768*T1*T2^2 - 2124*T1^2*T2^2 + 2272*T1^3*T2^2 + 
     600*T1^4*T2^2 - 4250*T1^5*T2^2 + 3660*T1^6*T2^2 - 1028*T1^7*T2^2 - 
     384*T1^8*T2^2 + 288*T1^9*T2^2 - 60*T1^10*T2^2 + 252*T2^3 - 
     1296*T1*T2^3 + 2272*T1^2*T2^3 + 2023*T1^3*T2^3 - 11192*T1^4*T2^3 + 
     14200*T1^5*T2^3 - 2783*T1^6*T2^3 - 5693*T1^7*T2^3 + 4999*T1^8*T2^3 - 
     1238*T1^9*T2^3 - 24*T1^10*T2^3 + 63*T1^11*T2^3 - 324*T2^4 + 
     1080*T1*T2^4 + 600*T1^2*T2^4 - 11192*T1^3*T2^4 + 18980*T1^4*T2^4 - 
     3123*T1^5*T2^4 - 29834*T1^6*T2^4 + 30465*T1^7*T2^4 - 10540*T1^8*T2^4 - 
     2372*T1^9*T2^4 + 2256*T1^10*T2^4 - 504*T1^11*T2^4 + 252*T2^5 - 
     72*T1*T2^5 - 4250*T1^2*T2^5 + 14200*T1^3*T2^5 - 3123*T1^4*T2^5 - 
     41429*T1^5*T2^5 + 74109*T1^6*T2^5 - 29229*T1^7*T2^5 - 18515*T1^8*T2^5 + 
     23958*T1^9*T2^5 - 7265*T1^10*T2^5 - 38*T1^11*T2^5 + 504*T1^12*T2^5 - 
     63*T1^13*T2^5 - 120*T2^6 - 552*T1*T2^6 + 3660*T1^2*T2^6 - 
     2783*T1^3*T2^6 - 29834*T1^4*T2^6 + 74109*T1^5*T2^6 - 55530*T1^6*T2^6 - 
     49124*T1^7*T2^6 + 86670*T1^8*T2^6 - 43251*T1^9*T2^6 - 1322*T1^10*T2^6 + 
     7477*T1^11*T2^6 - 2208*T1^12*T2^6 + 24*T1^13*T2^6 + 60*T1^14*T2^6 + 
     32*T2^7 + 464*T1*T2^7 - 1028*T1^2*T2^7 - 5693*T1^3*T2^7 + 
     30465*T1^4*T2^7 - 29229*T1^5*T2^7 - 49124*T1^6*T2^7 + 148095*T1^7*T2^7 - 
     104523*T1^8*T2^7 - 4055*T1^9*T2^7 + 46065*T1^10*T2^7 - 
     22644*T1^11*T2^7 + 2092*T1^12*T2^7 + 1222*T1^13*T2^7 - 288*T1^14*T2^7 - 
     24*T1^15*T2^7 - 4*T2^8 - 160*T1*T2^8 - 384*T1^2*T2^8 + 4999*T1^3*T2^8 - 
     10540*T1^4*T2^8 - 18515*T1^5*T2^8 + 86670*T1^6*T2^8 - 104523*T1^7*T2^8 - 
     12036*T1^8*T2^8 + 113387*T1^9*T2^8 - 85872*T1^10*T2^8 + 
     15487*T1^11*T2^8 + 10412*T1^12*T2^8 - 4847*T1^13*T2^8 + 384*T1^14*T2^8 + 
     160*T1^15*T2^8 + 4*T1^16*T2^8 + 24*T1*T2^9 + 288*T1^2*T2^9 - 
     1238*T1^3*T2^9 - 2372*T1^4*T2^9 + 23958*T1^5*T2^9 - 43251*T1^6*T2^9 - 
     4055*T1^7*T2^9 + 113387*T1^8*T2^9 - 139231*T1^9*T2^9 + 
     41014*T1^10*T2^9 + 32043*T1^11*T2^9 - 29151*T1^12*T2^9 + 
     5413*T1^13*T2^9 + 1012*T1^14*T2^9 - 464*T1^15*T2^9 - 32*T1^16*T2^9 - 
     60*T1^2*T2^10 - 24*T1^3*T2^10 + 2256*T1^4*T2^10 - 7265*T1^5*T2^10 - 
     1322*T1^6*T2^10 + 46065*T1^7*T2^10 - 85872*T1^8*T2^10 + 
     41014*T1^9*T2^10 + 56328*T1^10*T2^10 - 71295*T1^11*T2^10 + 
     27190*T1^12*T2^10 + 2995*T1^13*T2^10 - 3612*T1^14*T2^10 + 
     552*T1^15*T2^10 + 120*T1^16*T2^10 + 63*T1^3*T2^11 - 504*T1^4*T2^11 - 
     38*T1^5*T2^11 + 7477*T1^6*T2^11 - 22644*T1^7*T2^11 + 15487*T1^8*T2^11 + 
     32043*T1^9*T2^11 - 71295*T1^10*T2^11 + 38401*T1^11*T2^11 + 
     4437*T1^12*T2^11 - 13988*T1^13*T2^11 + 4174*T1^14*T2^11 + 
     72*T1^15*T2^11 - 252*T1^16*T2^11 + 504*T1^5*T2^12 - 2208*T1^6*T2^12 + 
     2092*T1^7*T2^12 + 10412*T1^8*T2^12 - 29151*T1^9*T2^12 + 
     27190*T1^10*T2^12 + 4437*T1^11*T2^12 - 19108*T1^12*T2^12 + 
     10912*T1^13*T2^12 - 552*T1^14*T2^12 - 1080*T1^15*T2^12 + 
     324*T1^16*T2^12 - 63*T1^5*T2^13 + 24*T1^6*T2^13 + 1222*T1^7*T2^13 - 
     4847*T1^8*T2^13 + 5413*T1^9*T2^13 + 2995*T1^10*T2^13 - 
     13988*T1^11*T2^13 + 10912*T1^12*T2^13 - 1871*T1^13*T2^13 - 
     2288*T1^14*T2^13 + 1296*T1^15*T2^13 - 252*T1^16*T2^13 + 60*T1^6*T2^14 - 
     288*T1^7*T2^14 + 384*T1^8*T2^14 + 1012*T1^9*T2^14 - 3612*T1^10*T2^14 + 
     4174*T1^11*T2^14 - 552*T1^12*T2^14 - 2288*T1^13*T2^14 + 
     2124*T1^14*T2^14 - 768*T1^15*T2^14 + 120*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 464*T1^9*T2^15 + 552*T1^10*T2^15 + 72*T1^11*T2^15 - 
     1080*T1^12*T2^15 + 1296*T1^13*T2^15 - 768*T1^14*T2^15 + 
     232*T1^15*T2^15 - 32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 
     120*T1^10*T2^16 - 252*T1^11*T2^16 + 324*T1^12*T2^16 - 252*T1^13*T2^16 + 
     120*T1^14*T2^16 - 32*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1123] -> 
  {((1 - T + T^2)^2*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)^2*(1 - 7*T1 + 13*T1^2 - 7*T1^3 + T1^4)*(1 + T1*T2)*
     (1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*(1 - 7*T2 + 13*T2^2 - 7*T2^3 + 
      T2^4)*(4 - 23*T1*T2 + 37*T1^2*T2^2 - 23*T1^3*T2^3 + 4*T1^4*T2^4))/
    (T1^9*T2^8)}, Knot[12, Alternating, 1124] -> 
  {-(((1 - 3*T + T^2)*(1 - 10*T + 19*T^2 - 10*T^3 + T^4))/T^3), 
   -(((1 - 3*T1 + T1^2)*(1 - 10*T1 + 19*T1^2 - 10*T1^3 + T1^4)*(1 + T1*T2)*
      (1 - 3*T2 + T2^2)*(1 - 10*T2 + 19*T2^2 - 10*T2^3 + T2^4)*
      (3 - 26*T1*T2 + 53*T1^2*T2^2 - 26*T1^3*T2^3 + 3*T1^4*T2^4))/
     (T1^7*T2^6))}, Knot[12, Alternating, 1125] -> 
  {-((4 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((-320 + 1108*T1 - 1652*T1^2 + 1808*T1^3 - 1652*T1^4 + 1108*T1^5 - 
      320*T1^6 + 1108*T2 - 2958*T1*T2 + 2680*T1^2*T2 - 1720*T1^3*T2 + 
      744*T1^4*T2 + 720*T1^5*T2 - 1950*T1^6*T2 + 884*T1^7*T2 - 1652*T2^2 + 
      2680*T1*T2^2 + 1085*T1^2*T2^2 - 3253*T1^3*T2^2 + 3985*T1^4*T2^2 - 
      4765*T1^5*T2^2 + 3941*T1^6*T2^2 + 328*T1^7*T2^2 - 980*T1^8*T2^2 + 
      1808*T2^3 - 1720*T1*T2^3 - 3253*T1^2*T2^3 + 2936*T1^3*T2^3 - 
      1730*T1^4*T2^3 + 1546*T1^5*T2^3 + 98*T1^6*T2^3 - 3757*T1^7*T2^3 + 
      968*T1^8*T2^3 + 704*T1^9*T2^3 - 1652*T2^4 + 744*T1*T2^4 + 
      3985*T1^2*T2^4 - 1730*T1^3*T2^4 + 639*T1^4*T2^4 - 1299*T1^5*T2^4 + 
      555*T1^6*T2^4 + 1490*T1^7*T2^4 + 2025*T1^8*T2^4 - 1384*T1^9*T2^4 - 
      308*T1^10*T2^4 + 1108*T2^5 + 720*T1*T2^5 - 4765*T1^2*T2^5 + 
      1546*T1^3*T2^5 - 1299*T1^4*T2^5 + 2747*T1^5*T2^5 - 1831*T1^6*T2^5 - 
      270*T1^7*T2^5 - 1842*T1^8*T2^5 - 229*T1^9*T2^5 + 1112*T1^10*T2^5 - 
      12*T1^11*T2^5 - 320*T2^6 - 1950*T1*T2^6 + 3941*T1^2*T2^6 + 
      98*T1^3*T2^6 + 555*T1^4*T2^6 - 1831*T1^5*T2^6 - 360*T1^6*T2^6 + 
      2215*T1^7*T2^6 - 467*T1^8*T2^6 + 2006*T1^9*T2^6 - 1491*T1^10*T2^6 - 
      158*T1^11*T2^6 + 64*T1^12*T2^6 + 884*T1*T2^7 + 328*T1^2*T2^7 - 
      3757*T1^3*T2^7 + 1490*T1^4*T2^7 - 270*T1^5*T2^7 + 2215*T1^6*T2^7 - 
      2363*T1^7*T2^7 + 759*T1^8*T2^7 - 1898*T1^9*T2^7 + 779*T1^10*T2^7 + 
      720*T1^11*T2^7 - 236*T1^12*T2^7 - 980*T1^2*T2^8 + 968*T1^3*T2^8 + 
      2025*T1^4*T2^8 - 1842*T1^5*T2^8 - 467*T1^6*T2^8 + 759*T1^7*T2^8 - 
      551*T1^8*T2^8 + 1378*T1^9*T2^8 + 65*T1^10*T2^8 - 1160*T1^11*T2^8 + 
      364*T1^12*T2^8 + 704*T1^3*T2^9 - 1384*T1^4*T2^9 - 229*T1^5*T2^9 + 
      2006*T1^6*T2^9 - 1898*T1^7*T2^9 + 1378*T1^8*T2^9 - 832*T1^9*T2^9 - 
      733*T1^10*T2^9 + 1304*T1^11*T2^9 - 400*T1^12*T2^9 - 308*T1^4*T2^10 + 
      1112*T1^5*T2^10 - 1491*T1^6*T2^10 + 779*T1^7*T2^10 + 65*T1^8*T2^10 - 
      733*T1^9*T2^10 + 1365*T1^10*T2^10 - 1240*T1^11*T2^10 + 
      364*T1^12*T2^10 - 12*T1^5*T2^11 - 158*T1^6*T2^11 + 720*T1^7*T2^11 - 
      1160*T1^8*T2^11 + 1304*T1^9*T2^11 - 1240*T1^10*T2^11 + 
      850*T1^11*T2^11 - 236*T1^12*T2^11 + 64*T1^6*T2^12 - 236*T1^7*T2^12 + 
      364*T1^8*T2^12 - 400*T1^9*T2^12 + 364*T1^10*T2^12 - 236*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1126] -> 
  {-(((2 - 3*T + 2*T^2)*(4 - 9*T + 4*T^2))/T^2), 
   -((-1600 + 5904*T1 - 8400*T1^2 + 5904*T1^3 - 1600*T1^4 + 5904*T2 - 
      17820*T1*T2 + 16440*T1^2*T2 - 1080*T1^3*T2 - 8700*T1^4*T2 + 
      3984*T1^5*T2 - 8400*T2^2 + 16440*T1*T2^2 + 6467*T1^2*T2^2 - 
      34695*T1^3*T2^2 + 30547*T1^4*T2^2 - 4200*T1^5*T2^2 - 2896*T1^6*T2^2 + 
      5904*T2^3 - 1080*T1*T2^3 - 34695*T1^2*T2^3 + 49212*T1^3*T2^3 - 
      17598*T1^4*T2^3 - 16635*T1^5*T2^3 + 10200*T1^6*T2^3 + 144*T1^7*T2^3 - 
      1600*T2^4 - 8700*T1*T2^4 + 30547*T1^2*T2^4 - 17598*T1^3*T2^4 - 
      22764*T1^4*T2^4 + 37722*T1^5*T2^4 - 12445*T1^6*T2^4 - 1980*T1^7*T2^4 + 
      448*T1^8*T2^4 + 3984*T1*T2^5 - 4200*T1^2*T2^5 - 16635*T1^3*T2^5 + 
      37722*T1^4*T2^5 - 29088*T1^5*T2^5 + 1425*T1^6*T2^5 + 7080*T1^7*T2^5 - 
      1776*T1^8*T2^5 - 2896*T1^2*T2^6 + 10200*T1^3*T2^6 - 12445*T1^4*T2^6 + 
      1425*T1^5*T2^6 + 11635*T1^6*T2^6 - 10440*T1^7*T2^6 + 2608*T1^8*T2^6 + 
      144*T1^3*T2^7 - 1980*T1^4*T2^7 + 7080*T1^5*T2^7 - 10440*T1^6*T2^7 + 
      7140*T1^7*T2^7 - 1776*T1^8*T2^7 + 448*T1^4*T2^8 - 1776*T1^5*T2^8 + 
      2608*T1^6*T2^8 - 1776*T1^7*T2^8 + 448*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 1127] -> 
  {(4 - 24*T + 41*T^2 - 24*T^3 + 4*T^4)/T^2, 
   (8*(4 - 24*T1 + 41*T1^2 - 24*T1^3 + 4*T1^4)*(1 + T1*T2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(4 - 24*T2 + 41*T2^2 - 24*T2^3 + 4*T2^4))/
    (T1^5*T2^4)}, Knot[12, Alternating, 1128] -> 
  {(1 - 3*T + 5*T^2 - 7*T^3 + 9*T^4 - 9*T^5 + 9*T^6 - 7*T^7 + 5*T^8 - 3*T^9 + 
     T^10)/T^5, (-4 + 12*T1 - 20*T1^2 + 28*T1^3 - 36*T1^4 + 36*T1^5 - 
     36*T1^6 + 28*T1^7 - 20*T1^8 + 12*T1^9 - 4*T1^10 + 12*T2 - 27*T1*T2 + 
     33*T1^2*T2 - 39*T1^3*T2 + 45*T1^4*T2 - 27*T1^5*T2 + 27*T1^6*T2 - 
     3*T1^7*T2 - 3*T1^8*T2 + 9*T1^9*T2 - 15*T1^10*T2 + 9*T1^11*T2 - 20*T2^2 + 
     33*T1*T2^2 - 29*T1^2*T2^2 + 35*T1^3*T2^2 - 41*T1^4*T2^2 + 9*T1^5*T2^2 - 
     31*T1^6*T2^2 - 11*T1^7*T2^2 - T1^8*T2^2 - 5*T1^9*T2^2 + 11*T1^10*T2^2 + 
     3*T1^11*T2^2 - 10*T1^12*T2^2 + 28*T2^3 - 39*T1*T2^3 + 35*T1^2*T2^3 - 
     54*T1^3*T2^3 + 66*T1^4*T2^3 - 28*T1^5*T2^3 + 74*T1^6*T2^3 + 
     8*T1^7*T2^3 + 26*T1^8*T2^3 - 6*T1^9*T2^3 - 6*T1^10*T2^3 - 
     10*T1^11*T2^3 + 9*T1^12*T2^3 + 7*T1^13*T2^3 - 36*T2^4 + 45*T1*T2^4 - 
     41*T1^2*T2^4 + 66*T1^3*T2^4 - 70*T1^4*T2^4 + 14*T1^5*T2^4 - 
     66*T1^6*T2^4 - 66*T1^7*T2^4 - 6*T1^8*T2^4 - 34*T1^9*T2^4 + 
     50*T1^10*T2^4 - 18*T1^11*T2^4 + 13*T1^12*T2^4 - 21*T1^13*T2^4 + 
     36*T2^5 - 27*T1*T2^5 + 9*T1^2*T2^5 - 28*T1^3*T2^5 + 14*T1^4*T2^5 + 
     53*T1^5*T2^5 + 15*T1^6*T2^5 + 133*T1^7*T2^5 + 7*T1^8*T2^5 + 
     49*T1^9*T2^5 - 49*T1^10*T2^5 - 23*T1^11*T2^5 + 22*T1^12*T2^5 - 
     8*T1^13*T2^5 + 27*T1^14*T2^5 - 9*T1^15*T2^5 - 36*T2^6 + 27*T1*T2^6 - 
     31*T1^2*T2^6 + 74*T1^3*T2^6 - 66*T1^4*T2^6 + 15*T1^5*T2^6 - 
     99*T1^6*T2^6 - 75*T1^7*T2^6 - 83*T1^8*T2^6 - 39*T1^9*T2^6 + 
     45*T1^10*T2^6 + 33*T1^11*T2^6 + 24*T1^12*T2^6 - 34*T1^13*T2^6 + 
     5*T1^14*T2^6 - 27*T1^15*T2^6 + 18*T1^16*T2^6 + 28*T2^7 - 3*T1*T2^7 - 
     11*T1^2*T2^7 + 8*T1^3*T2^7 - 66*T1^4*T2^7 + 133*T1^5*T2^7 - 
     75*T1^6*T2^7 + 256*T1^7*T2^7 - 46*T1^8*T2^7 + 156*T1^9*T2^7 - 
     90*T1^10*T2^7 - 30*T1^11*T2^7 - 65*T1^12*T2^7 + 15*T1^13*T2^7 + 
     18*T1^14*T2^7 + 14*T1^15*T2^7 + 9*T1^16*T2^7 - 21*T1^17*T2^7 - 20*T2^8 - 
     3*T1*T2^8 - T1^2*T2^8 + 26*T1^3*T2^8 - 6*T1^4*T2^8 + 7*T1^5*T2^8 - 
     83*T1^6*T2^8 - 46*T1^7*T2^8 - 170*T1^8*T2^8 + 10*T1^9*T2^8 - 
     46*T1^10*T2^8 + 106*T1^11*T2^8 + 79*T1^12*T2^8 + 25*T1^13*T2^8 - 
     6*T1^14*T2^8 - 38*T1^15*T2^8 + T1^16*T2^8 + 3*T1^17*T2^8 + 
     20*T1^18*T2^8 + 12*T2^9 + 9*T1*T2^9 - 5*T1^2*T2^9 - 6*T1^3*T2^9 - 
     34*T1^4*T2^9 + 49*T1^5*T2^9 - 39*T1^6*T2^9 + 156*T1^7*T2^9 + 
     10*T1^8*T2^9 + 139*T1^9*T2^9 - 59*T1^10*T2^9 - 35*T1^11*T2^9 - 
     146*T1^12*T2^9 - 48*T1^13*T2^9 - 49*T1^14*T2^9 + 69*T1^15*T2^9 - 
     6*T1^16*T2^9 - 15*T1^18*T2^9 - 15*T1^19*T2^9 - 4*T2^10 - 15*T1*T2^10 + 
     11*T1^2*T2^10 - 6*T1^3*T2^10 + 50*T1^4*T2^10 - 49*T1^5*T2^10 + 
     45*T1^6*T2^10 - 90*T1^7*T2^10 - 46*T1^8*T2^10 - 59*T1^9*T2^10 + 
     59*T1^11*T2^10 + 172*T1^12*T2^10 + 58*T1^13*T2^10 + 113*T1^14*T2^10 - 
     47*T1^15*T2^10 - 40*T1^16*T2^10 + 30*T1^17*T2^10 - 5*T1^18*T2^10 + 
     27*T1^19*T2^10 + 6*T1^20*T2^10 + 9*T1*T2^11 + 3*T1^2*T2^11 - 
     10*T1^3*T2^11 - 18*T1^4*T2^11 - 23*T1^5*T2^11 + 33*T1^6*T2^11 - 
     30*T1^7*T2^11 + 106*T1^8*T2^11 - 35*T1^9*T2^11 + 59*T1^10*T2^11 - 
     139*T1^11*T2^11 - 80*T1^12*T2^11 - 196*T1^13*T2^11 - 39*T1^14*T2^11 - 
     65*T1^15*T2^11 + 80*T1^16*T2^11 - 18*T1^17*T2^11 - 5*T1^18*T2^11 - 
     21*T1^19*T2^11 - 18*T1^20*T2^11 - 10*T1^2*T2^12 + 9*T1^3*T2^12 + 
     13*T1^4*T2^12 + 22*T1^5*T2^12 + 24*T1^6*T2^12 - 65*T1^7*T2^12 + 
     79*T1^8*T2^12 - 146*T1^9*T2^12 + 172*T1^10*T2^12 - 80*T1^11*T2^12 + 
     296*T1^12*T2^12 + 6*T1^13*T2^12 + 241*T1^14*T2^12 - 47*T1^15*T2^12 + 
     24*T1^16*T2^12 - 42*T1^17*T2^12 + 15*T1^18*T2^12 + 15*T1^19*T2^12 + 
     30*T1^20*T2^12 + 7*T1^3*T2^13 - 21*T1^4*T2^13 - 8*T1^5*T2^13 - 
     34*T1^6*T2^13 + 15*T1^7*T2^13 + 25*T1^8*T2^13 - 48*T1^9*T2^13 + 
     58*T1^10*T2^13 - 196*T1^11*T2^13 + 6*T1^12*T2^13 - 288*T1^13*T2^13 - 
     3*T1^14*T2^13 - 173*T1^15*T2^13 + 96*T1^16*T2^13 - 24*T1^17*T2^13 + 
     17*T1^18*T2^13 - 9*T1^19*T2^13 - 42*T1^20*T2^13 + 27*T1^5*T2^14 + 
     5*T1^6*T2^14 + 18*T1^7*T2^14 - 6*T1^8*T2^14 - 49*T1^9*T2^14 + 
     113*T1^10*T2^14 - 39*T1^11*T2^14 + 241*T1^12*T2^14 - 3*T1^13*T2^14 + 
     257*T1^14*T2^14 - 31*T1^15*T2^14 + 84*T1^16*T2^14 - 90*T1^17*T2^14 + 
     41*T1^18*T2^14 - 27*T1^19*T2^14 + 54*T1^20*T2^14 - 9*T1^5*T2^15 - 
     27*T1^6*T2^15 + 14*T1^7*T2^15 - 38*T1^8*T2^15 + 69*T1^9*T2^15 - 
     47*T1^10*T2^15 - 65*T1^11*T2^15 - 47*T1^12*T2^15 - 173*T1^13*T2^15 - 
     31*T1^14*T2^15 - 149*T1^15*T2^15 + 32*T1^16*T2^15 + 12*T1^17*T2^15 - 
     3*T1^18*T2^15 + 27*T1^19*T2^15 - 54*T1^20*T2^15 + 18*T1^6*T2^16 + 
     9*T1^7*T2^16 + T1^8*T2^16 - 6*T1^9*T2^16 - 40*T1^10*T2^16 + 
     80*T1^11*T2^16 + 24*T1^12*T2^16 + 96*T1^13*T2^16 + 84*T1^14*T2^16 + 
     32*T1^15*T2^16 + 80*T1^16*T2^16 - 90*T1^17*T2^16 + 55*T1^18*T2^16 - 
     57*T1^19*T2^16 + 54*T1^20*T2^16 - 21*T1^7*T2^17 + 3*T1^8*T2^17 + 
     30*T1^10*T2^17 - 18*T1^11*T2^17 - 42*T1^12*T2^17 - 24*T1^13*T2^17 - 
     90*T1^14*T2^17 + 12*T1^15*T2^17 - 90*T1^16*T2^17 + 78*T1^17*T2^17 - 
     45*T1^18*T2^17 + 51*T1^19*T2^17 - 42*T1^20*T2^17 + 20*T1^8*T2^18 - 
     15*T1^9*T2^18 - 5*T1^10*T2^18 - 5*T1^11*T2^18 + 15*T1^12*T2^18 + 
     17*T1^13*T2^18 + 41*T1^14*T2^18 - 3*T1^15*T2^18 + 55*T1^16*T2^18 - 
     45*T1^17*T2^18 + 35*T1^18*T2^18 - 45*T1^19*T2^18 + 30*T1^20*T2^18 - 
     15*T1^9*T2^19 + 27*T1^10*T2^19 - 21*T1^11*T2^19 + 15*T1^12*T2^19 - 
     9*T1^13*T2^19 - 27*T1^14*T2^19 + 27*T1^15*T2^19 - 57*T1^16*T2^19 + 
     51*T1^17*T2^19 - 45*T1^18*T2^19 + 39*T1^19*T2^19 - 18*T1^20*T2^19 + 
     6*T1^10*T2^20 - 18*T1^11*T2^20 + 30*T1^12*T2^20 - 42*T1^13*T2^20 + 
     54*T1^14*T2^20 - 54*T1^15*T2^20 + 54*T1^16*T2^20 - 42*T1^17*T2^20 + 
     30*T1^18*T2^20 - 18*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1129] -> 
  {(2 - 7*T + 13*T^2 - 19*T^3 + 23*T^4 - 19*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-31 + 109*T1 - 203*T1^2 + 297*T1^3 - 359*T1^4 + 297*T1^5 - 
     203*T1^6 + 109*T1^7 - 31*T1^8 + 109*T2 - 302*T1*T2 + 428*T1^2*T2 - 
     512*T1^3*T2 + 484*T1^4*T2 - 104*T1^5*T2 - 64*T1^6*T2 + 148*T1^7*T2 - 
     176*T1^8*T2 + 81*T1^9*T2 - 203*T2^2 + 428*T1*T2^2 - 424*T1^2*T2^2 + 
     424*T1^3*T2^2 - 260*T1^4*T2^2 - 422*T1^5*T2^2 + 260*T1^6*T2^2 - 
     200*T1^7*T2^2 + 148*T1^8*T2^2 + 64*T1^9*T2^2 - 99*T1^10*T2^2 + 
     297*T2^3 - 512*T1*T2^3 + 424*T1^2*T2^3 - 525*T1^3*T2^3 + 369*T1^4*T2^3 + 
     439*T1^5*T2^3 + 265*T1^6*T2^3 - 139*T1^7*T2^3 + 49*T1^8*T2^3 - 
     239*T1^9*T2^3 + 104*T1^10*T2^3 + 69*T1^11*T2^3 - 359*T2^4 + 
     484*T1*T2^4 - 260*T1^2*T2^4 + 369*T1^3*T2^4 + T1^4*T2^4 - 
     1045*T1^5*T2^4 - 33*T1^6*T2^4 - 593*T1^7*T2^4 + 673*T1^8*T2^4 - 
     201*T1^9*T2^4 + 270*T1^10*T2^4 - 272*T1^11*T2^4 + 9*T1^12*T2^4 + 
     297*T2^5 - 104*T1*T2^5 - 422*T1^2*T2^5 + 439*T1^3*T2^5 - 
     1045*T1^4*T2^5 + 1874*T1^5*T2^5 - 206*T1^6*T2^5 + 1076*T1^7*T2^5 - 
     722*T1^8*T2^5 - 212*T1^9*T2^5 - 7*T1^10*T2^5 - 5*T1^11*T2^5 + 
     260*T1^12*T2^5 - 83*T1^13*T2^5 - 203*T2^6 - 64*T1*T2^6 + 260*T1^2*T2^6 + 
     265*T1^3*T2^6 - 33*T1^4*T2^6 - 206*T1^5*T2^6 - 1332*T1^6*T2^6 - 
     270*T1^7*T2^6 - 20*T1^8*T2^6 + 826*T1^9*T2^6 + 25*T1^10*T2^6 + 
     31*T1^11*T2^6 - 240*T1^12*T2^6 - 92*T1^13*T2^6 + 109*T1^14*T2^6 + 
     109*T2^7 + 148*T1*T2^7 - 200*T1^2*T2^7 - 139*T1^3*T2^7 - 593*T1^4*T2^7 + 
     1076*T1^5*T2^7 - 270*T1^6*T2^7 + 1861*T1^7*T2^7 - 999*T1^8*T2^7 - 
     235*T1^9*T2^7 - 706*T1^10*T2^7 + 98*T1^11*T2^7 + 121*T1^12*T2^7 + 
     229*T1^13*T2^7 - 76*T1^14*T2^7 - 87*T1^15*T2^7 - 31*T2^8 - 176*T1*T2^8 + 
     148*T1^2*T2^8 + 49*T1^3*T2^8 + 673*T1^4*T2^8 - 722*T1^5*T2^8 - 
     20*T1^6*T2^8 - 999*T1^7*T2^8 - 24*T1^8*T2^8 + 1119*T1^9*T2^8 + 
     342*T1^10*T2^8 + 530*T1^11*T2^8 - 443*T1^12*T2^8 - 25*T1^13*T2^8 - 
     142*T1^14*T2^8 + 188*T1^15*T2^8 + 33*T1^16*T2^8 + 81*T1*T2^9 + 
     64*T1^2*T2^9 - 239*T1^3*T2^9 - 201*T1^4*T2^9 - 212*T1^5*T2^9 + 
     826*T1^6*T2^9 - 235*T1^7*T2^9 + 1119*T1^8*T2^9 - 1741*T1^9*T2^9 - 
     200*T1^10*T2^9 - 956*T1^11*T2^9 + 479*T1^12*T2^9 + 59*T1^13*T2^9 + 
     190*T1^14*T2^9 - 160*T1^15*T2^9 - 115*T1^16*T2^9 - 99*T1^2*T2^10 + 
     104*T1^3*T2^10 + 270*T1^4*T2^10 - 7*T1^5*T2^10 + 25*T1^6*T2^10 - 
     706*T1^7*T2^10 + 342*T1^8*T2^10 - 200*T1^9*T2^10 + 1654*T1^10*T2^10 + 
     326*T1^11*T2^10 + 83*T1^12*T2^10 - 241*T1^13*T2^10 - 230*T1^14*T2^10 + 
     76*T1^15*T2^10 + 213*T1^16*T2^10 + 69*T1^3*T2^11 - 272*T1^4*T2^11 - 
     5*T1^5*T2^11 + 31*T1^6*T2^11 + 98*T1^7*T2^11 + 530*T1^8*T2^11 - 
     956*T1^9*T2^11 + 326*T1^10*T2^11 - 2066*T1^11*T2^11 + 931*T1^12*T2^11 - 
     415*T1^13*T2^11 + 412*T1^14*T2^11 + 92*T1^15*T2^11 - 311*T1^16*T2^11 + 
     9*T1^4*T2^12 + 260*T1^5*T2^12 - 240*T1^6*T2^12 + 121*T1^7*T2^12 - 
     443*T1^8*T2^12 + 479*T1^9*T2^12 + 83*T1^10*T2^12 + 931*T1^11*T2^12 + 
     229*T1^12*T2^12 - 449*T1^13*T2^12 + 290*T1^14*T2^12 - 496*T1^15*T2^12 + 
     377*T1^16*T2^12 - 83*T1^5*T2^13 - 92*T1^6*T2^13 + 229*T1^7*T2^13 - 
     25*T1^8*T2^13 + 59*T1^9*T2^13 - 241*T1^10*T2^13 - 415*T1^11*T2^13 - 
     449*T1^12*T2^13 + 549*T1^13*T2^13 - 434*T1^14*T2^13 + 524*T1^15*T2^13 - 
     311*T1^16*T2^13 + 109*T1^6*T2^14 - 76*T1^7*T2^14 - 142*T1^8*T2^14 + 
     190*T1^9*T2^14 - 230*T1^10*T2^14 + 412*T1^11*T2^14 + 290*T1^12*T2^14 - 
     434*T1^13*T2^14 + 430*T1^14*T2^14 - 440*T1^15*T2^14 + 213*T1^16*T2^14 - 
     87*T1^7*T2^15 + 188*T1^8*T2^15 - 160*T1^9*T2^15 + 76*T1^10*T2^15 + 
     92*T1^11*T2^15 - 496*T1^12*T2^15 + 524*T1^13*T2^15 - 440*T1^14*T2^15 + 
     314*T1^15*T2^15 - 115*T1^16*T2^15 + 33*T1^8*T2^16 - 115*T1^9*T2^16 + 
     213*T1^10*T2^16 - 311*T1^11*T2^16 + 377*T1^12*T2^16 - 311*T1^13*T2^16 + 
     213*T1^14*T2^16 - 115*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1130] -> 
  {(2 - 8*T + 16*T^2 - 23*T^3 + 27*T^4 - 23*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 125*T1 - 251*T1^2 + 361*T1^3 - 423*T1^4 + 361*T1^5 - 
     251*T1^6 + 125*T1^7 - 31*T1^8 + 125*T2 - 410*T1*T2 + 634*T1^2*T2 - 
     698*T1^3*T2 + 618*T1^4*T2 - 182*T1^5*T2 - 74*T1^6*T2 + 250*T1^7*T2 - 
     250*T1^8*T2 + 93*T1^9*T2 - 251*T2^2 + 634*T1*T2^2 - 638*T1^2*T2^2 + 
     378*T1^3*T2^2 - 42*T1^4*T2^2 - 782*T1^5*T2^2 + 662*T1^6*T2^2 - 
     582*T1^7*T2^2 + 258*T1^8*T2^2 + 122*T1^9*T2^2 - 123*T1^10*T2^2 + 
     361*T2^3 - 698*T1*T2^3 + 378*T1^2*T2^3 - 12*T1^3*T2^3 - 214*T1^4*T2^3 + 
     1010*T1^5*T2^3 - 8*T1^6*T2^3 - 52*T1^7*T2^3 + 366*T1^8*T2^3 - 
     550*T1^9*T2^3 + 150*T1^10*T2^3 + 85*T1^11*T2^3 - 423*T2^4 + 
     618*T1*T2^4 - 42*T1^2*T2^4 - 214*T1^3*T2^4 + 274*T1^4*T2^4 - 
     1068*T1^5*T2^4 - 436*T1^6*T2^4 - 260*T1^7*T2^4 + 154*T1^8*T2^4 - 
     30*T1^9*T2^4 + 470*T1^10*T2^4 - 374*T1^11*T2^4 + 9*T1^12*T2^4 + 
     361*T2^5 - 182*T1*T2^5 - 782*T1^2*T2^5 + 1010*T1^3*T2^5 - 
     1068*T1^4*T2^5 + 1818*T1^5*T2^5 - 70*T1^6*T2^5 + 1282*T1^7*T2^5 - 
     760*T1^8*T2^5 + 90*T1^9*T2^5 - 388*T1^10*T2^5 - 14*T1^11*T2^5 + 
     362*T1^12*T2^5 - 99*T1^13*T2^5 - 251*T2^6 - 74*T1*T2^6 + 662*T1^2*T2^6 - 
     8*T1^3*T2^6 - 436*T1^4*T2^6 - 70*T1^5*T2^6 - 1354*T1^6*T2^6 - 
     366*T1^7*T2^6 - 202*T1^8*T2^6 + 954*T1^9*T2^6 - 84*T1^10*T2^6 + 
     440*T1^11*T2^6 - 426*T1^12*T2^6 - 138*T1^13*T2^6 + 133*T1^14*T2^6 + 
     125*T2^7 + 250*T1*T2^7 - 582*T1^2*T2^7 - 52*T1^3*T2^7 - 260*T1^4*T2^7 + 
     1282*T1^5*T2^7 - 366*T1^6*T2^7 + 1627*T1^7*T2^7 - 607*T1^8*T2^7 - 
     579*T1^9*T2^7 - 726*T1^10*T2^7 - 18*T1^11*T2^7 - 126*T1^12*T2^7 + 
     538*T1^13*T2^7 - 134*T1^14*T2^7 - 99*T1^15*T2^7 - 31*T2^8 - 
     250*T1*T2^8 + 258*T1^2*T2^8 + 366*T1^3*T2^8 + 154*T1^4*T2^8 - 
     760*T1^5*T2^8 - 202*T1^6*T2^8 - 607*T1^7*T2^8 + 60*T1^8*T2^8 + 
     791*T1^9*T2^8 + 1208*T1^10*T2^8 + 132*T1^11*T2^8 + 106*T1^12*T2^8 - 
     302*T1^13*T2^8 - 254*T1^14*T2^8 + 262*T1^15*T2^8 + 33*T1^16*T2^8 + 
     93*T1*T2^9 + 122*T1^2*T2^9 - 550*T1^3*T2^9 - 30*T1^4*T2^9 + 
     90*T1^5*T2^9 + 954*T1^6*T2^9 - 579*T1^7*T2^9 + 791*T1^8*T2^9 - 
     1443*T1^9*T2^9 - 792*T1^10*T2^9 - 1054*T1^11*T2^9 + 332*T1^12*T2^9 - 
     104*T1^13*T2^9 + 570*T1^14*T2^9 - 262*T1^15*T2^9 - 131*T1^16*T2^9 - 
     123*T1^2*T2^10 + 150*T1^3*T2^10 + 470*T1^4*T2^10 - 388*T1^5*T2^10 - 
     84*T1^6*T2^10 - 726*T1^7*T2^10 + 1208*T1^8*T2^10 - 792*T1^9*T2^10 + 
     2360*T1^10*T2^10 + 298*T1^11*T2^10 + 268*T1^12*T2^10 + 60*T1^13*T2^10 - 
     618*T1^14*T2^10 + 86*T1^15*T2^10 + 261*T1^16*T2^10 + 85*T1^3*T2^11 - 
     374*T1^4*T2^11 - 14*T1^5*T2^11 + 440*T1^6*T2^11 - 18*T1^7*T2^11 + 
     132*T1^8*T2^11 - 1054*T1^9*T2^11 + 298*T1^10*T2^11 - 2446*T1^11*T2^11 + 
     1140*T1^12*T2^11 - 958*T1^13*T2^11 + 754*T1^14*T2^11 + 170*T1^15*T2^11 - 
     375*T1^16*T2^11 + 9*T1^4*T2^12 + 362*T1^5*T2^12 - 426*T1^6*T2^12 - 
     126*T1^7*T2^12 + 106*T1^8*T2^12 + 332*T1^9*T2^12 + 268*T1^10*T2^12 + 
     1140*T1^11*T2^12 - 14*T1^12*T2^12 + 58*T1^13*T2^12 + 86*T1^14*T2^12 - 
     630*T1^15*T2^12 + 441*T1^16*T2^12 - 99*T1^5*T2^13 - 138*T1^6*T2^13 + 
     538*T1^7*T2^13 - 302*T1^8*T2^13 - 104*T1^9*T2^13 + 60*T1^10*T2^13 - 
     958*T1^11*T2^13 + 58*T1^12*T2^13 + 76*T1^13*T2^13 - 390*T1^14*T2^13 + 
     710*T1^15*T2^13 - 375*T1^16*T2^13 + 133*T1^6*T2^14 - 134*T1^7*T2^14 - 
     254*T1^8*T2^14 + 570*T1^9*T2^14 - 618*T1^10*T2^14 + 754*T1^11*T2^14 + 
     86*T1^12*T2^14 - 390*T1^13*T2^14 + 642*T1^14*T2^14 - 646*T1^15*T2^14 + 
     261*T1^16*T2^14 - 99*T1^7*T2^15 + 262*T1^8*T2^15 - 262*T1^9*T2^15 + 
     86*T1^10*T2^15 + 170*T1^11*T2^15 - 630*T1^12*T2^15 + 710*T1^13*T2^15 - 
     646*T1^14*T2^15 + 422*T1^15*T2^15 - 131*T1^16*T2^15 + 33*T1^8*T2^16 - 
     131*T1^9*T2^16 + 261*T1^10*T2^16 - 375*T1^11*T2^16 + 441*T1^12*T2^16 - 
     375*T1^13*T2^16 + 261*T1^14*T2^16 - 131*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1131] -> 
  {(2 - 7*T + 11*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 11*T^6 - 7*T^7 + 2*T^8)/
    T^4, (-17 + 59*T1 - 93*T1^2 + 93*T1^3 - 93*T1^4 + 93*T1^5 - 93*T1^6 + 
     59*T1^7 - 17*T1^8 + 59*T2 - 174*T1*T2 + 216*T1^2*T2 - 154*T1^3*T2 + 
     154*T1^4*T2 - 154*T1^5*T2 + 154*T1^6*T2 - 36*T1^7*T2 - 48*T1^8*T2 + 
     31*T1^9*T2 - 93*T2^2 + 216*T1*T2^2 - 150*T1^2*T2^2 - 36*T1^3*T2^2 + 
     10*T1^4*T2^2 - 10*T1^5*T2^2 + 10*T1^6*T2^2 - 212*T1^7*T2^2 + 
     246*T1^8*T2^2 - 92*T1^9*T2^2 - 5*T1^10*T2^2 + 93*T2^3 - 154*T1*T2^3 - 
     36*T1^2*T2^3 + 265*T1^3*T2^3 - 143*T1^4*T2^3 + 121*T1^5*T2^3 - 
     121*T1^6*T2^3 + 363*T1^7*T2^3 - 263*T1^8*T2^3 - 69*T1^9*T2^3 + 
     154*T1^10*T2^3 - 39*T1^11*T2^3 - 93*T2^4 + 154*T1*T2^4 + 10*T1^2*T2^4 - 
     143*T1^3*T2^4 - 88*T1^4*T2^4 + 84*T1^5*T2^4 - 22*T1^6*T2^4 - 
     268*T1^7*T2^4 + 88*T1^8*T2^4 + 275*T1^9*T2^4 - 100*T1^10*T2^4 - 
     154*T1^11*T2^4 + 83*T1^12*T2^4 + 93*T2^5 - 154*T1*T2^5 - 10*T1^2*T2^5 + 
     121*T1^3*T2^5 + 84*T1^4*T2^5 + 34*T1^5*T2^5 - 110*T1^6*T2^5 + 
     330*T1^7*T2^5 - 32*T1^8*T2^5 - 301*T1^9*T2^5 - 121*T1^10*T2^5 + 
     155*T1^11*T2^5 + 154*T1^12*T2^5 - 127*T1^13*T2^5 - 93*T2^6 + 
     154*T1*T2^6 + 10*T1^2*T2^6 - 121*T1^3*T2^6 - 22*T1^4*T2^6 - 
     110*T1^5*T2^6 + 22*T1^6*T2^6 - 206*T1^7*T2^6 - 22*T1^8*T2^6 + 
     242*T1^9*T2^6 + 220*T1^10*T2^6 + 121*T1^11*T2^6 - 210*T1^12*T2^6 - 
     154*T1^13*T2^6 + 171*T1^14*T2^6 + 59*T2^7 - 36*T1*T2^7 - 212*T1^2*T2^7 + 
     363*T1^3*T2^7 - 268*T1^4*T2^7 + 330*T1^5*T2^7 - 206*T1^6*T2^7 + 
     505*T1^7*T2^7 - 219*T1^8*T2^7 - 151*T1^9*T2^7 - 286*T1^10*T2^7 - 
     15*T1^11*T2^7 - 495*T1^12*T2^7 + 679*T1^13*T2^7 - 120*T1^14*T2^7 - 
     137*T1^15*T2^7 - 17*T2^8 - 48*T1*T2^8 + 246*T1^2*T2^8 - 263*T1^3*T2^8 + 
     88*T1^4*T2^8 - 32*T1^5*T2^8 - 22*T1^6*T2^8 - 219*T1^7*T2^8 - 
     84*T1^8*T2^8 + 267*T1^9*T2^8 + 484*T1^10*T2^8 - 296*T1^11*T2^8 + 
     836*T1^12*T2^8 - 285*T1^13*T2^8 - 492*T1^14*T2^8 + 316*T1^15*T2^8 + 
     47*T1^16*T2^8 + 31*T1*T2^9 - 92*T1^2*T2^9 - 69*T1^3*T2^9 + 
     275*T1^4*T2^9 - 301*T1^5*T2^9 + 242*T1^6*T2^9 - 151*T1^7*T2^9 + 
     267*T1^8*T2^9 - 457*T1^9*T2^9 - 96*T1^10*T2^9 - 374*T1^11*T2^9 - 
     48*T1^12*T2^9 - 583*T1^13*T2^9 + 822*T1^14*T2^9 - 176*T1^15*T2^9 - 
     165*T1^16*T2^9 - 5*T1^2*T2^10 + 154*T1^3*T2^10 - 100*T1^4*T2^10 - 
     121*T1^5*T2^10 + 220*T1^6*T2^10 - 286*T1^7*T2^10 + 484*T1^8*T2^10 - 
     96*T1^9*T2^10 + 440*T1^10*T2^10 + 66*T1^11*T2^10 + 462*T1^12*T2^10 + 
     121*T1^13*T2^10 - 320*T1^14*T2^10 - 154*T1^15*T2^10 + 259*T1^16*T2^10 - 
     39*T1^3*T2^11 - 154*T1^4*T2^11 + 155*T1^5*T2^11 + 121*T1^6*T2^11 - 
     15*T1^7*T2^11 - 296*T1^8*T2^11 - 374*T1^9*T2^11 + 66*T1^10*T2^11 - 
     362*T1^11*T2^11 - 400*T1^12*T2^11 - 121*T1^13*T2^11 + 320*T1^14*T2^11 + 
     154*T1^15*T2^11 - 259*T1^16*T2^11 + 83*T1^4*T2^12 + 154*T1^5*T2^12 - 
     210*T1^6*T2^12 - 495*T1^7*T2^12 + 836*T1^8*T2^12 - 48*T1^9*T2^12 + 
     462*T1^10*T2^12 - 400*T1^11*T2^12 + 1012*T1^12*T2^12 - 77*T1^13*T2^12 - 
     320*T1^14*T2^12 - 154*T1^15*T2^12 + 259*T1^16*T2^12 - 127*T1^5*T2^13 - 
     154*T1^6*T2^13 + 679*T1^7*T2^13 - 285*T1^8*T2^13 - 583*T1^9*T2^13 + 
     121*T1^10*T2^13 - 121*T1^11*T2^13 - 77*T1^12*T2^13 - 813*T1^13*T2^13 + 
     646*T1^14*T2^13 + 154*T1^15*T2^13 - 259*T1^16*T2^13 + 171*T1^6*T2^14 - 
     120*T1^7*T2^14 - 492*T1^8*T2^14 + 822*T1^9*T2^14 - 320*T1^10*T2^14 + 
     320*T1^11*T2^14 - 320*T1^12*T2^14 + 646*T1^13*T2^14 - 96*T1^14*T2^14 - 
     428*T1^15*T2^14 + 259*T1^16*T2^14 - 137*T1^7*T2^15 + 316*T1^8*T2^15 - 
     176*T1^9*T2^15 - 154*T1^10*T2^15 + 154*T1^11*T2^15 - 154*T1^12*T2^15 + 
     154*T1^13*T2^15 - 428*T1^14*T2^15 + 442*T1^15*T2^15 - 165*T1^16*T2^15 + 
     47*T1^8*T2^16 - 165*T1^9*T2^16 + 259*T1^10*T2^16 - 259*T1^11*T2^16 + 
     259*T1^12*T2^16 - 259*T1^13*T2^16 + 259*T1^14*T2^16 - 165*T1^15*T2^16 + 
     47*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1132] -> 
  {(4 - 16*T + 29*T^2 - 33*T^3 + 29*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-128 + 512*T1 - 936*T1^2 + 1072*T1^3 - 936*T1^4 + 512*T1^5 - 128*T1^6 + 
     512*T2 - 1792*T1*T2 + 2716*T1^2*T2 - 2396*T1^3*T2 + 1572*T1^4*T2 - 
     164*T1^5*T2 - 512*T1^6*T2 + 256*T1^7*T2 - 936*T2^2 + 2716*T1*T2^2 - 
     2784*T1^2*T2^2 + 526*T1^3*T2^2 + 1372*T1^4*T2^2 - 3418*T1^5*T2^2 + 
     3016*T1^6*T2^2 - 996*T1^7*T2^2 - 8*T1^8*T2^2 + 1072*T2^3 - 
     2396*T1*T2^3 + 526*T1^2*T2^3 + 3570*T1^3*T2^3 - 5086*T1^4*T2^3 + 
     5862*T1^5*T2^3 - 2658*T1^6*T2^3 - 1678*T1^7*T2^3 + 2084*T1^8*T2^3 - 
     512*T1^9*T2^3 - 936*T2^4 + 1572*T1*T2^4 + 1372*T1^2*T2^4 - 
     5086*T1^3*T2^4 + 4168*T1^4*T2^4 - 2764*T1^5*T2^4 - 2184*T1^6*T2^4 + 
     6002*T1^7*T2^4 - 2068*T1^8*T2^4 - 1628*T1^9*T2^4 + 920*T1^10*T2^4 + 
     512*T2^5 - 164*T1*T2^5 - 3418*T1^2*T2^5 + 5862*T1^3*T2^5 - 
     2764*T1^4*T2^5 + 329*T1^5*T2^5 + 3423*T1^6*T2^5 - 3605*T1^7*T2^5 - 
     4806*T1^8*T2^5 + 5746*T1^9*T2^5 - 612*T1^10*T2^5 - 768*T1^11*T2^5 - 
     128*T2^6 - 512*T1*T2^6 + 3016*T1^2*T2^6 - 2658*T1^3*T2^6 - 
     2184*T1^4*T2^6 + 3423*T1^5*T2^6 - 2304*T1^6*T2^6 - 1107*T1^7*T2^6 + 
     8858*T1^8*T2^6 - 3042*T1^9*T2^6 - 3856*T1^10*T2^6 + 2048*T1^11*T2^6 + 
     256*T1^12*T2^6 + 256*T1*T2^7 - 996*T1^2*T2^7 - 1678*T1^3*T2^7 + 
     6002*T1^4*T2^7 - 3605*T1^5*T2^7 - 1107*T1^6*T2^7 + 1987*T1^7*T2^7 - 
     4446*T1^8*T2^7 - 4666*T1^9*T2^7 + 7486*T1^10*T2^7 - 1444*T1^11*T2^7 - 
     1024*T1^12*T2^7 - 8*T1^2*T2^8 + 2084*T1^3*T2^8 - 2068*T1^4*T2^8 - 
     4806*T1^5*T2^8 + 8858*T1^6*T2^8 - 4446*T1^7*T2^8 + 2506*T1^8*T2^8 + 
     6282*T1^9*T2^8 - 5508*T1^10*T2^8 - 1116*T1^11*T2^8 + 1848*T1^12*T2^8 - 
     512*T1^3*T2^9 - 1628*T1^4*T2^9 + 5746*T1^5*T2^9 - 3042*T1^6*T2^9 - 
     4666*T1^7*T2^9 + 6282*T1^8*T2^9 - 9270*T1^9*T2^9 + 3542*T1^10*T2^9 + 
     2852*T1^11*T2^9 - 2096*T1^12*T2^9 + 920*T1^4*T2^10 - 612*T1^5*T2^10 - 
     3856*T1^6*T2^10 + 7486*T1^7*T2^10 - 5508*T1^8*T2^10 + 3542*T1^9*T2^10 + 
     1944*T1^10*T2^10 - 4324*T1^11*T2^10 + 1848*T1^12*T2^10 - 
     768*T1^5*T2^11 + 2048*T1^6*T2^11 - 1444*T1^7*T2^11 - 1116*T1^8*T2^11 + 
     2852*T1^9*T2^11 - 4324*T1^10*T2^11 + 3328*T1^11*T2^11 - 
     1024*T1^12*T2^11 + 256*T1^6*T2^12 - 1024*T1^7*T2^12 + 1848*T1^8*T2^12 - 
     2096*T1^9*T2^12 + 1848*T1^10*T2^12 - 1024*T1^11*T2^12 + 256*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1133] -> 
  {(4 - 18*T + 36*T^2 - 43*T^3 + 36*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-128 + 580*T1 - 1172*T1^2 + 1408*T1^3 - 1172*T1^4 + 580*T1^5 - 128*T1^6 + 
     580*T2 - 2330*T1*T2 + 3960*T1^2*T2 - 3648*T1^3*T2 + 2040*T1^4*T2 + 
     72*T1^5*T2 - 746*T1^6*T2 + 292*T1^7*T2 - 1172*T2^2 + 3960*T1*T2^2 - 
     4713*T1^2*T2^2 + 939*T1^3*T2^2 + 3329*T1^4*T2^2 - 6261*T1^5*T2^2 + 
     4503*T1^6*T2^2 - 1224*T1^7*T2^2 - 20*T1^8*T2^2 + 1408*T2^3 - 
     3648*T1*T2^3 + 939*T1^2*T2^3 + 7382*T1^3*T2^3 - 11996*T1^4*T2^3 + 
     11332*T1^5*T2^3 - 3358*T1^6*T2^3 - 3381*T1^7*T2^3 + 3048*T1^8*T2^3 - 
     656*T1^9*T2^3 - 1172*T2^4 + 2040*T1*T2^4 + 3329*T1^2*T2^4 - 
     11996*T1^3*T2^4 + 10956*T1^4*T2^4 - 2564*T1^5*T2^4 - 9312*T1^6*T2^4 + 
     12772*T1^7*T2^4 - 3799*T1^8*T2^4 - 2136*T1^9*T2^4 + 1132*T1^10*T2^4 + 
     580*T2^5 + 72*T1*T2^5 - 6261*T1^2*T2^5 + 11332*T1^3*T2^5 - 
     2564*T1^4*T2^5 - 9946*T1^5*T2^5 + 15290*T1^6*T2^5 - 7748*T1^7*T2^5 - 
     9116*T1^8*T2^5 + 9579*T1^9*T2^5 - 1224*T1^10*T2^5 - 860*T1^11*T2^5 - 
     128*T2^6 - 746*T1*T2^6 + 4503*T1^2*T2^6 - 3358*T1^3*T2^6 - 
     9312*T1^4*T2^6 + 15290*T1^5*T2^6 - 4920*T1^6*T2^6 - 9766*T1^7*T2^6 + 
     21360*T1^8*T2^6 - 7486*T1^9*T2^6 - 5001*T1^10*T2^6 + 2710*T1^11*T2^6 + 
     256*T1^12*T2^6 + 292*T1*T2^7 - 1224*T1^2*T2^7 - 3381*T1^3*T2^7 + 
     12772*T1^4*T2^7 - 7748*T1^5*T2^7 - 9766*T1^6*T2^7 + 15470*T1^7*T2^7 - 
     12932*T1^8*T2^7 - 7676*T1^9*T2^7 + 12459*T1^10*T2^7 - 2520*T1^11*T2^7 - 
     1148*T1^12*T2^7 - 20*T1^2*T2^8 + 3048*T1^3*T2^8 - 3799*T1^4*T2^8 - 
     9116*T1^5*T2^8 + 21360*T1^6*T2^8 - 12932*T1^7*T2^8 + 1092*T1^8*T2^8 + 
     15652*T1^9*T2^8 - 10927*T1^10*T2^8 - 1128*T1^11*T2^8 + 2284*T1^12*T2^8 - 
     656*T1^3*T2^9 - 2136*T1^4*T2^9 + 9579*T1^5*T2^9 - 7486*T1^6*T2^9 - 
     7676*T1^7*T2^9 + 15652*T1^8*T2^9 - 18226*T1^9*T2^9 + 5259*T1^10*T2^9 + 
     4560*T1^11*T2^9 - 2720*T1^12*T2^9 + 1132*T1^4*T2^10 - 1224*T1^5*T2^10 - 
     5001*T1^6*T2^10 + 12459*T1^7*T2^10 - 10927*T1^8*T2^10 + 
     5259*T1^9*T2^10 + 4215*T1^10*T2^10 - 6408*T1^11*T2^10 + 
     2284*T1^12*T2^10 - 860*T1^5*T2^11 + 2710*T1^6*T2^11 - 2520*T1^7*T2^11 - 
     1128*T1^8*T2^11 + 4560*T1^9*T2^11 - 6408*T1^10*T2^11 + 
     4294*T1^11*T2^11 - 1148*T1^12*T2^11 + 256*T1^6*T2^12 - 1148*T1^7*T2^12 + 
     2284*T1^8*T2^12 - 2720*T1^9*T2^12 + 2284*T1^10*T2^12 - 
     1148*T1^11*T2^12 + 256*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1134] -> 
  {-((1 - 3*T + 5*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 7*T^6 - 7*T^7 + 5*T^8 - 
      3*T^9 + T^10)/T^5), -((-7 + 21*T1 - 35*T1^2 + 49*T1^3 - 49*T1^4 + 
      49*T1^5 - 49*T1^6 + 49*T1^7 - 35*T1^8 + 21*T1^9 - 7*T1^10 + 21*T2 - 
      45*T1*T2 + 51*T1^2*T2 - 57*T1^3*T2 + 21*T1^4*T2 - 21*T1^5*T2 + 
      21*T1^6*T2 - 21*T1^7*T2 - 21*T1^8*T2 + 27*T1^9*T2 - 33*T1^10*T2 + 
      18*T1^11*T2 - 35*T2^2 + 51*T1*T2^2 - 38*T1^2*T2^2 + 50*T1^3*T2^2 + 
      10*T1^4*T2^2 + 38*T1^5*T2^2 - 38*T1^6*T2^2 + 38*T1^7*T2^2 + 
      30*T1^8*T2^2 + 10*T1^9*T2^2 + 2*T1^10*T2^2 + 21*T1^11*T2^2 - 
      25*T1^12*T2^2 + 49*T2^3 - 57*T1*T2^3 + 50*T1^2*T2^3 - 90*T1^3*T2^3 - 
      2*T1^4*T2^3 - 92*T1^5*T2^3 + 42*T1^6*T2^3 - 42*T1^7*T2^3 - 
      50*T1^8*T2^3 - 32*T1^9*T2^3 - 42*T1^10*T2^3 + 5*T1^11*T2^3 - 
      9*T1^12*T2^3 + 28*T1^13*T2^3 - 49*T2^4 + 21*T1*T2^4 + 10*T1^2*T2^4 - 
      2*T1^3*T2^4 + 163*T1^4*T2^4 - 37*T1^5*T2^4 + 157*T1^6*T2^4 - 
      127*T1^7*T2^4 + 213*T1^8*T2^4 - 65*T1^9*T2^4 + 163*T1^10*T2^4 - 
      30*T1^11*T2^4 + 24*T1^12*T2^4 - 21*T1^13*T2^4 - 21*T1^14*T2^4 + 
      49*T2^5 - 21*T1*T2^5 + 38*T1^2*T2^5 - 92*T1^3*T2^5 - 37*T1^4*T2^5 - 
      149*T1^5*T2^5 - 25*T1^6*T2^5 - 57*T1^7*T2^5 - 29*T1^8*T2^5 - 
      109*T1^9*T2^5 - 79*T1^10*T2^5 - 58*T1^11*T2^5 - 22*T1^12*T2^5 + 
      17*T1^13*T2^5 + 21*T1^14*T2^5 + 14*T1^15*T2^5 - 49*T2^6 + 21*T1*T2^6 - 
      38*T1^2*T2^6 + 42*T1^3*T2^6 + 157*T1^4*T2^6 - 25*T1^5*T2^6 + 
      268*T1^6*T2^6 - 148*T1^7*T2^6 + 256*T1^8*T2^6 - 148*T1^9*T2^6 + 
      324*T1^10*T2^6 - 95*T1^11*T2^6 + 143*T1^12*T2^6 - 42*T1^13*T2^6 - 
      10*T1^14*T2^6 - 21*T1^15*T2^6 - 7*T1^16*T2^6 + 49*T2^7 - 21*T1*T2^7 + 
      38*T1^2*T2^7 - 42*T1^3*T2^7 - 127*T1^4*T2^7 - 57*T1^5*T2^7 - 
      148*T1^6*T2^7 - 16*T1^7*T2^7 - 96*T1^8*T2^7 - 12*T1^9*T2^7 - 
      100*T1^10*T2^7 - 113*T1^11*T2^7 - T1^12*T2^7 - 64*T1^13*T2^7 + 
      42*T1^14*T2^7 + 3*T1^15*T2^7 + 21*T1^16*T2^7 - 35*T2^8 - 21*T1*T2^8 + 
      30*T1^2*T2^8 - 50*T1^3*T2^8 + 213*T1^4*T2^8 - 29*T1^5*T2^8 + 
      256*T1^6*T2^8 - 96*T1^7*T2^8 + 182*T1^8*T2^8 - 60*T1^9*T2^8 + 
      118*T1^10*T2^8 + 16*T1^11*T2^8 + 102*T1^12*T2^8 - 15*T1^13*T2^8 + 
      17*T1^14*T2^8 - 22*T1^15*T2^8 - 8*T1^16*T2^8 - 15*T1^17*T2^8 + 
      5*T1^18*T2^8 + 21*T2^9 + 27*T1*T2^9 + 10*T1^2*T2^9 - 32*T1^3*T2^9 - 
      65*T1^4*T2^9 - 109*T1^5*T2^9 - 148*T1^6*T2^9 - 12*T1^7*T2^9 - 
      60*T1^8*T2^9 - 21*T1^9*T2^9 - 25*T1^10*T2^9 - 27*T1^11*T2^9 - 
      40*T1^12*T2^9 - 43*T1^13*T2^9 + 31*T1^14*T2^9 - 2*T1^15*T2^9 + 
      10*T1^16*T2^9 + 15*T1^17*T2^9 + 3*T1^18*T2^9 - 6*T1^19*T2^9 - 7*T2^10 - 
      33*T1*T2^10 + 2*T1^2*T2^10 - 42*T1^3*T2^10 + 163*T1^4*T2^10 - 
      79*T1^5*T2^10 + 324*T1^6*T2^10 - 100*T1^7*T2^10 + 118*T1^8*T2^10 - 
      25*T1^9*T2^10 + 25*T1^11*T2^10 - 24*T1^12*T2^10 + 68*T1^13*T2^10 - 
      40*T1^14*T2^10 - 9*T1^15*T2^10 - 11*T1^16*T2^10 - 6*T1^17*T2^10 - 
      14*T1^18*T2^10 + 9*T1^19*T2^10 + 3*T1^20*T2^10 + 18*T1*T2^11 + 
      21*T1^2*T2^11 + 5*T1^3*T2^11 - 30*T1^4*T2^11 - 58*T1^5*T2^11 - 
      95*T1^6*T2^11 - 113*T1^7*T2^11 + 16*T1^8*T2^11 - 27*T1^9*T2^11 + 
      25*T1^10*T2^11 + 21*T1^11*T2^11 + 6*T1^12*T2^11 - 12*T1^13*T2^11 - 
      8*T1^14*T2^11 + 45*T1^15*T2^11 + 5*T1^16*T2^11 + 12*T1^17*T2^11 + 
      10*T1^18*T2^11 - 3*T1^19*T2^11 - 9*T1^20*T2^11 - 25*T1^2*T2^12 - 
      9*T1^3*T2^12 + 24*T1^4*T2^12 - 22*T1^5*T2^12 + 143*T1^6*T2^12 - 
      T1^7*T2^12 + 102*T1^8*T2^12 - 40*T1^9*T2^12 - 24*T1^10*T2^12 + 
      6*T1^11*T2^12 - 88*T1^12*T2^12 + 72*T1^13*T2^12 - 52*T1^14*T2^12 + 
      13*T1^15*T2^12 - 53*T1^16*T2^12 + 6*T1^17*T2^12 - 14*T1^18*T2^12 - 
      3*T1^19*T2^12 + 15*T1^20*T2^12 + 28*T1^3*T2^13 - 21*T1^4*T2^13 + 
      17*T1^5*T2^13 - 42*T1^6*T2^13 - 64*T1^7*T2^13 - 15*T1^8*T2^13 - 
      43*T1^9*T2^13 + 68*T1^10*T2^13 - 12*T1^11*T2^13 + 72*T1^12*T2^13 - 
      16*T1^13*T2^13 - 8*T1^14*T2^13 + 41*T1^15*T2^13 - T1^16*T2^13 + 
      42*T1^17*T2^13 - 18*T1^18*T2^13 + 21*T1^19*T2^13 - 21*T1^20*T2^13 - 
      21*T1^4*T2^14 + 21*T1^5*T2^14 - 10*T1^6*T2^14 + 42*T1^7*T2^14 + 
      17*T1^8*T2^14 + 31*T1^9*T2^14 - 40*T1^10*T2^14 - 8*T1^11*T2^14 - 
      52*T1^12*T2^14 - 8*T1^13*T2^14 + 16*T1^14*T2^14 - 39*T1^15*T2^14 + 
      3*T1^16*T2^14 - 42*T1^17*T2^14 + 18*T1^18*T2^14 - 21*T1^19*T2^14 + 
      21*T1^20*T2^14 + 14*T1^5*T2^15 - 21*T1^6*T2^15 + 3*T1^7*T2^15 - 
      22*T1^8*T2^15 - 2*T1^9*T2^15 - 9*T1^10*T2^15 + 45*T1^11*T2^15 + 
      13*T1^12*T2^15 + 41*T1^13*T2^15 - 39*T1^14*T2^15 + 61*T1^15*T2^15 - 
      23*T1^16*T2^15 + 48*T1^17*T2^15 - 18*T1^18*T2^15 + 21*T1^19*T2^15 - 
      21*T1^20*T2^15 - 7*T1^6*T2^16 + 21*T1^7*T2^16 - 8*T1^8*T2^16 + 
      10*T1^9*T2^16 - 11*T1^10*T2^16 + 5*T1^11*T2^16 - 53*T1^12*T2^16 - 
      T1^13*T2^16 + 3*T1^14*T2^16 - 23*T1^15*T2^16 - 11*T1^16*T2^16 - 
      18*T1^17*T2^16 + 6*T1^18*T2^16 - 21*T1^19*T2^16 + 21*T1^20*T2^16 - 
      15*T1^8*T2^17 + 15*T1^9*T2^17 - 6*T1^10*T2^17 + 12*T1^11*T2^17 + 
      6*T1^12*T2^17 + 42*T1^13*T2^17 - 42*T1^14*T2^17 + 48*T1^15*T2^17 - 
      18*T1^16*T2^17 + 42*T1^17*T2^17 - 30*T1^18*T2^17 + 33*T1^19*T2^17 - 
      21*T1^20*T2^17 + 5*T1^8*T2^18 + 3*T1^9*T2^18 - 14*T1^10*T2^18 + 
      10*T1^11*T2^18 - 14*T1^12*T2^18 - 18*T1^13*T2^18 + 18*T1^14*T2^18 - 
      18*T1^15*T2^18 + 6*T1^16*T2^18 - 30*T1^17*T2^18 + 26*T1^18*T2^18 - 
      27*T1^19*T2^18 + 15*T1^20*T2^18 - 6*T1^9*T2^19 + 9*T1^10*T2^19 - 
      3*T1^11*T2^19 - 3*T1^12*T2^19 + 21*T1^13*T2^19 - 21*T1^14*T2^19 + 
      21*T1^15*T2^19 - 21*T1^16*T2^19 + 33*T1^17*T2^19 - 27*T1^18*T2^19 + 
      21*T1^19*T2^19 - 9*T1^20*T2^19 + 3*T1^10*T2^20 - 9*T1^11*T2^20 + 
      15*T1^12*T2^20 - 21*T1^13*T2^20 + 21*T1^14*T2^20 - 21*T1^15*T2^20 + 
      21*T1^16*T2^20 - 21*T1^17*T2^20 + 15*T1^18*T2^20 - 9*T1^19*T2^20 + 
      3*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1135] -> 
  {-((2 - 7*T + 13*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
     T^4), -((-41 + 143*T1 - 265*T1^2 + 387*T1^3 - 427*T1^4 + 387*T1^5 - 
      265*T1^6 + 143*T1^7 - 41*T1^8 + 143*T2 - 384*T1*T2 + 524*T1^2*T2 - 
      608*T1^3*T2 + 406*T1^4*T2 - 154*T1^5*T2 - 160*T1^6*T2 + 244*T1^7*T2 - 
      258*T1^8*T2 + 115*T1^9*T2 - 265*T2^2 + 524*T1*T2^2 - 477*T1^2*T2^2 + 
      473*T1^3*T2^2 - T1^4*T2^2 - 189*T1^5*T2^2 + 415*T1^6*T2^2 - 
      151*T1^7*T2^2 + 95*T1^8*T2^2 + 160*T1^9*T2^2 - 161*T1^10*T2^2 + 
      387*T2^3 - 608*T1*T2^3 + 473*T1^2*T2^3 - 649*T1^3*T2^3 + 33*T1^4*T2^3 - 
      123*T1^5*T2^3 - 115*T1^6*T2^3 - 247*T1^7*T2^3 - 75*T1^8*T2^3 - 
      190*T1^9*T2^3 + 8*T1^10*T2^3 + 159*T1^11*T2^3 - 427*T2^4 + 
      406*T1*T2^4 - T1^2*T2^4 + 33*T1^3*T2^4 + 1106*T1^4*T2^4 - 
      868*T1^5*T2^4 + 1256*T1^6*T2^4 - 756*T1^7*T2^4 + 1106*T1^8*T2^4 - 
      233*T1^9*T2^4 + 321*T1^10*T2^4 - 238*T1^11*T2^4 - 91*T1^12*T2^4 + 
      387*T2^5 - 154*T1*T2^5 - 189*T1^2*T2^5 - 123*T1^3*T2^5 - 
      868*T1^4*T2^5 + 12*T1^5*T2^5 - 448*T1^6*T2^5 - 16*T1^7*T2^5 - 
      442*T1^8*T2^5 - 537*T1^9*T2^5 - 23*T1^10*T2^5 - 66*T1^11*T2^5 + 
      294*T1^12*T2^5 + 7*T1^13*T2^5 - 265*T2^6 - 160*T1*T2^6 + 
      415*T1^2*T2^6 - 115*T1^3*T2^6 + 1256*T1^4*T2^6 - 448*T1^5*T2^6 + 
      1289*T1^6*T2^6 - 883*T1^7*T2^6 + 989*T1^8*T2^6 + 144*T1^9*T2^6 + 
      430*T1^10*T2^6 + 15*T1^11*T2^6 - 189*T1^12*T2^6 - 188*T1^13*T2^6 + 
      47*T1^14*T2^6 + 143*T2^7 + 244*T1*T2^7 - 151*T1^2*T2^7 - 
      247*T1^3*T2^7 - 756*T1^4*T2^7 - 16*T1^5*T2^7 - 883*T1^6*T2^7 + 
      351*T1^7*T2^7 - 115*T1^8*T2^7 - 582*T1^9*T2^7 - 128*T1^10*T2^7 - 
      211*T1^11*T2^7 + 89*T1^12*T2^7 + 278*T1^13*T2^7 + 20*T1^14*T2^7 - 
      53*T1^15*T2^7 - 41*T2^8 - 258*T1*T2^8 + 95*T1^2*T2^8 - 75*T1^3*T2^8 + 
      1106*T1^4*T2^8 - 442*T1^5*T2^8 + 989*T1^6*T2^8 - 115*T1^7*T2^8 - 
      432*T1^8*T2^8 + 559*T1^9*T2^8 - T1^10*T2^8 + 222*T1^11*T2^8 - 
      74*T1^12*T2^8 - 149*T1^13*T2^8 - 195*T1^14*T2^8 + 106*T1^15*T2^8 + 
      23*T1^16*T2^8 + 115*T1*T2^9 + 160*T1^2*T2^9 - 190*T1^3*T2^9 - 
      233*T1^4*T2^9 - 537*T1^5*T2^9 + 144*T1^6*T2^9 - 582*T1^7*T2^9 + 
      559*T1^8*T2^9 + 93*T1^9*T2^9 - 281*T1^10*T2^9 + 32*T1^11*T2^9 + 
      8*T1^12*T2^9 + 103*T1^13*T2^9 + 239*T1^14*T2^9 - 64*T1^15*T2^9 - 
      81*T1^16*T2^9 - 161*T1^2*T2^10 + 8*T1^3*T2^10 + 321*T1^4*T2^10 - 
      23*T1^5*T2^10 + 430*T1^6*T2^10 - 128*T1^7*T2^10 - T1^8*T2^10 - 
      281*T1^9*T2^10 - 301*T1^10*T2^10 + 464*T1^11*T2^10 - 396*T1^12*T2^10 + 
      107*T1^13*T2^10 - 283*T1^14*T2^10 - 20*T1^15*T2^10 + 151*T1^16*T2^10 + 
      159*T1^3*T2^11 - 238*T1^4*T2^11 - 66*T1^5*T2^11 + 15*T1^6*T2^11 - 
      211*T1^7*T2^11 + 222*T1^8*T2^11 + 32*T1^9*T2^11 + 464*T1^10*T2^11 - 
      232*T1^11*T2^11 + 120*T1^12*T2^11 + 115*T1^13*T2^11 + 57*T1^14*T2^11 + 
      210*T1^15*T2^11 - 221*T1^16*T2^11 - 91*T1^4*T2^12 + 294*T1^5*T2^12 - 
      189*T1^6*T2^12 + 89*T1^7*T2^12 - 74*T1^8*T2^12 + 8*T1^9*T2^12 - 
      396*T1^10*T2^12 + 120*T1^11*T2^12 - 74*T1^12*T2^12 - 177*T1^13*T2^12 + 
      133*T1^14*T2^12 - 350*T1^15*T2^12 + 245*T1^16*T2^12 + 7*T1^5*T2^13 - 
      188*T1^6*T2^13 + 278*T1^7*T2^13 - 149*T1^8*T2^13 + 103*T1^9*T2^13 + 
      107*T1^10*T2^13 + 115*T1^11*T2^13 - 177*T1^12*T2^13 + 425*T1^13*T2^13 - 
      385*T1^14*T2^13 + 428*T1^15*T2^13 - 221*T1^16*T2^13 + 47*T1^6*T2^14 + 
      20*T1^7*T2^14 - 195*T1^8*T2^14 + 239*T1^9*T2^14 - 283*T1^10*T2^14 + 
      57*T1^11*T2^14 + 133*T1^12*T2^14 - 385*T1^13*T2^14 + 377*T1^14*T2^14 - 
      344*T1^15*T2^14 + 151*T1^16*T2^14 - 53*T1^7*T2^15 + 106*T1^8*T2^15 - 
      64*T1^9*T2^15 - 20*T1^10*T2^15 + 210*T1^11*T2^15 - 350*T1^12*T2^15 + 
      428*T1^13*T2^15 - 344*T1^14*T2^15 + 232*T1^15*T2^15 - 81*T1^16*T2^15 + 
      23*T1^8*T2^16 - 81*T1^9*T2^16 + 151*T1^10*T2^16 - 221*T1^11*T2^16 + 
      245*T1^12*T2^16 - 221*T1^13*T2^16 + 151*T1^14*T2^16 - 81*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1136] -> 
  {-(((1 - T + T^2)*(-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/
     T^4), -((-41 + 163*T1 - 365*T1^2 + 587*T1^3 - 667*T1^4 + 587*T1^5 - 
      365*T1^6 + 163*T1^7 - 41*T1^8 + 163*T2 - 518*T1*T2 + 934*T1^2*T2 - 
      1174*T1^3*T2 + 784*T1^4*T2 - 208*T1^5*T2 - 422*T1^6*T2 + 518*T1^7*T2 - 
      358*T1^8*T2 + 131*T1^9*T2 - 365*T2^2 + 934*T1*T2^2 - 1404*T1^2*T2^2 + 
      1464*T1^3*T2^2 - 426*T1^4*T2^2 - 134*T1^5*T2^2 + 654*T1^6*T2^2 - 
      48*T1^7*T2^2 - 252*T1^8*T2^2 + 358*T1^9*T2^2 - 221*T1^10*T2^2 + 
      587*T2^3 - 1174*T1*T2^3 + 1464*T1^2*T2^3 - 1262*T1^3*T2^3 - 
      318*T1^4*T2^3 + 182*T1^5*T2^3 - 568*T1^6*T2^3 - 684*T1^7*T2^3 + 
      388*T1^8*T2^3 - 228*T1^9*T2^3 - 70*T1^10*T2^3 + 239*T1^11*T2^3 - 
      667*T2^4 + 784*T1*T2^4 - 426*T1^2*T2^4 - 318*T1^3*T2^4 + 
      2259*T1^4*T2^4 - 879*T1^5*T2^4 + 1285*T1^6*T2^4 + 537*T1^7*T2^4 + 
      699*T1^8*T2^4 - 550*T1^9*T2^4 + 614*T1^10*T2^4 - 400*T1^11*T2^4 - 
      139*T1^12*T2^4 + 587*T2^5 - 208*T1*T2^5 - 134*T1^2*T2^5 + 
      182*T1^3*T2^5 - 879*T1^4*T2^5 - 2180*T1^5*T2^5 + 818*T1^6*T2^5 - 
      1862*T1^7*T2^5 - 1128*T1^8*T2^5 + 531*T1^9*T2^5 - 444*T1^10*T2^5 - 
      62*T1^11*T2^5 + 528*T1^12*T2^5 + 7*T1^13*T2^5 - 365*T2^6 - 
      422*T1*T2^6 + 654*T1^2*T2^6 - 568*T1^3*T2^6 + 1285*T1^4*T2^6 + 
      818*T1^5*T2^6 + 2872*T1^6*T2^6 - 2342*T1^7*T2^6 + 4660*T1^8*T2^6 - 
      1626*T1^9*T2^6 + 509*T1^10*T2^6 + 368*T1^11*T2^6 - 506*T1^12*T2^6 - 
      294*T1^13*T2^6 + 67*T1^14*T2^6 + 163*T2^7 + 518*T1*T2^7 - 
      48*T1^2*T2^7 - 684*T1^3*T2^7 + 537*T1^4*T2^7 - 1862*T1^5*T2^7 - 
      2342*T1^6*T2^7 + 1191*T1^7*T2^7 - 2141*T1^8*T2^7 - 1265*T1^9*T2^7 + 
      1290*T1^10*T2^7 - 897*T1^11*T2^7 + 218*T1^12*T2^7 + 564*T1^13*T2^7 - 
      26*T1^14*T2^7 - 61*T1^15*T2^7 - 41*T2^8 - 358*T1*T2^8 - 252*T1^2*T2^8 + 
      388*T1^3*T2^8 + 699*T1^4*T2^8 - 1128*T1^5*T2^8 + 4660*T1^6*T2^8 - 
      2141*T1^7*T2^8 + 1092*T1^8*T2^8 + 1761*T1^9*T2^8 - 1046*T1^10*T2^8 - 
      56*T1^11*T2^8 + 491*T1^12*T2^8 - 632*T1^13*T2^8 - 156*T1^14*T2^8 + 
      154*T1^15*T2^8 + 23*T1^16*T2^8 + 131*T1*T2^9 + 358*T1^2*T2^9 - 
      228*T1^3*T2^9 - 550*T1^4*T2^9 + 531*T1^5*T2^9 - 1626*T1^6*T2^9 - 
      1265*T1^7*T2^9 + 1761*T1^8*T2^9 - 1571*T1^9*T2^9 - 188*T1^10*T2^9 + 
      1526*T1^11*T2^9 - 903*T1^12*T2^9 + 352*T1^13*T2^9 + 384*T1^14*T2^9 - 
      186*T1^15*T2^9 - 93*T1^16*T2^9 - 221*T1^2*T2^10 - 70*T1^3*T2^10 + 
      614*T1^4*T2^10 - 444*T1^5*T2^10 + 509*T1^6*T2^10 + 1290*T1^7*T2^10 - 
      1046*T1^8*T2^10 - 188*T1^9*T2^10 + 742*T1^10*T2^10 - 1154*T1^11*T2^10 - 
      267*T1^12*T2^10 + 492*T1^13*T2^10 - 546*T1^14*T2^10 + 58*T1^15*T2^10 + 
      211*T1^16*T2^10 + 239*T1^3*T2^11 - 400*T1^4*T2^11 - 62*T1^5*T2^11 + 
      368*T1^6*T2^11 - 897*T1^7*T2^11 - 56*T1^8*T2^11 + 1526*T1^9*T2^11 - 
      1154*T1^10*T2^11 + 996*T1^11*T2^11 + 513*T1^12*T2^11 - 
      258*T1^13*T2^11 + 10*T1^14*T2^11 + 336*T1^15*T2^11 - 341*T1^16*T2^11 - 
      139*T1^4*T2^12 + 528*T1^5*T2^12 - 506*T1^6*T2^12 + 218*T1^7*T2^12 + 
      491*T1^8*T2^12 - 903*T1^9*T2^12 - 267*T1^10*T2^12 + 513*T1^11*T2^12 - 
      1069*T1^12*T2^12 - 14*T1^13*T2^12 + 534*T1^14*T2^12 - 656*T1^15*T2^12 + 
      389*T1^16*T2^12 + 7*T1^5*T2^13 - 294*T1^6*T2^13 + 564*T1^7*T2^13 - 
      632*T1^8*T2^13 + 352*T1^9*T2^13 + 492*T1^10*T2^13 - 258*T1^11*T2^13 - 
      14*T1^12*T2^13 + 1018*T1^13*T2^13 - 1128*T1^14*T2^13 + 
      810*T1^15*T2^13 - 341*T1^16*T2^13 + 67*T1^6*T2^14 - 26*T1^7*T2^14 - 
      156*T1^8*T2^14 + 384*T1^9*T2^14 - 546*T1^10*T2^14 + 10*T1^11*T2^14 + 
      534*T1^12*T2^14 - 1128*T1^13*T2^14 + 996*T1^14*T2^14 - 
      602*T1^15*T2^14 + 211*T1^16*T2^14 - 61*T1^7*T2^15 + 154*T1^8*T2^15 - 
      186*T1^9*T2^15 + 58*T1^10*T2^15 + 336*T1^11*T2^15 - 656*T1^12*T2^15 + 
      810*T1^13*T2^15 - 602*T1^14*T2^15 + 314*T1^15*T2^15 - 93*T1^16*T2^15 + 
      23*T1^8*T2^16 - 93*T1^9*T2^16 + 211*T1^10*T2^16 - 341*T1^11*T2^16 + 
      389*T1^12*T2^16 - 341*T1^13*T2^16 + 211*T1^14*T2^16 - 93*T1^15*T2^16 + 
      23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1137] -> 
  {-(((1 - T + T^2)*(4 - 12*T + 15*T^2 - 12*T^3 + 4*T^4))/T^3), 
   -((-208 + 824*T1 - 1592*T1^2 + 2008*T1^3 - 1592*T1^4 + 824*T1^5 - 
      208*T1^6 + 824*T2 - 2700*T1*T2 + 4072*T1^2*T2 - 3632*T1^3*T2 + 
      848*T1^4*T2 + 1064*T1^5*T2 - 1420*T1^6*T2 + 568*T1^7*T2 - 1592*T2^2 + 
      4072*T1*T2^2 - 3972*T1^2*T2^2 + 796*T1^3*T2^2 + 4594*T1^4*T2^2 - 
      4908*T1^5*T2^2 + 2724*T1^6*T2^2 + 104*T1^7*T2^2 - 600*T1^8*T2^2 + 
      2008*T2^3 - 3632*T1*T2^3 + 796*T1^2*T2^3 + 3954*T1^3*T2^3 - 
      8692*T1^4*T2^3 + 4032*T1^5*T2^3 + 766*T1^6*T2^3 - 3792*T1^7*T2^3 + 
      1872*T1^8*T2^3 + 136*T1^9*T2^3 - 1592*T2^4 + 848*T1*T2^4 + 
      4594*T1^2*T2^4 - 8692*T1^3*T2^4 + 9780*T1^4*T2^4 + 388*T1^5*T2^4 - 
      5532*T1^6*T2^4 + 5660*T1^7*T2^4 + 2*T1^8*T2^4 - 2096*T1^9*T2^4 + 
      392*T1^10*T2^4 + 824*T2^5 + 1064*T1*T2^5 - 4908*T1^2*T2^5 + 
      4032*T1^3*T2^5 + 388*T1^4*T2^5 - 11225*T1^5*T2^5 + 9869*T1^6*T2^5 - 
      2371*T1^7*T2^5 - 5436*T1^8*T2^5 + 4144*T1^9*T2^5 + 232*T1^10*T2^5 - 
      456*T1^11*T2^5 - 208*T2^6 - 1420*T1*T2^6 + 2724*T1^2*T2^6 + 
      766*T1^3*T2^6 - 5532*T1^4*T2^6 + 9869*T1^5*T2^6 - 1284*T1^6*T2^6 - 
      8225*T1^7*T2^6 + 9402*T1^8*T2^6 - 1986*T1^9*T2^6 - 2996*T1^10*T2^6 + 
      1140*T1^11*T2^6 + 176*T1^12*T2^6 + 568*T1*T2^7 + 104*T1^2*T2^7 - 
      3792*T1^3*T2^7 + 5660*T1^4*T2^7 - 2371*T1^5*T2^7 - 8225*T1^6*T2^7 + 
      12869*T1^7*T2^7 - 5130*T1^8*T2^7 - 3808*T1^9*T2^7 + 5260*T1^10*T2^7 - 
      728*T1^11*T2^7 - 712*T1^12*T2^7 - 600*T1^2*T2^8 + 1872*T1^3*T2^8 + 
      2*T1^4*T2^8 - 5436*T1^5*T2^8 + 9402*T1^6*T2^8 - 5130*T1^7*T2^8 - 
      5910*T1^8*T2^8 + 8916*T1^9*T2^8 - 4590*T1^10*T2^8 - 1072*T1^11*T2^8 + 
      1384*T1^12*T2^8 + 136*T1^3*T2^9 - 2096*T1^4*T2^9 + 4144*T1^5*T2^9 - 
      1986*T1^6*T2^9 - 3808*T1^7*T2^9 + 8916*T1^8*T2^9 - 5174*T1^9*T2^9 - 
      444*T1^10*T2^9 + 3408*T1^11*T2^9 - 1736*T1^12*T2^9 + 392*T1^4*T2^10 + 
      232*T1^5*T2^10 - 2996*T1^6*T2^10 + 5260*T1^7*T2^10 - 4590*T1^8*T2^10 - 
      444*T1^9*T2^10 + 3700*T1^10*T2^10 - 3736*T1^11*T2^10 + 
      1384*T1^12*T2^10 - 456*T1^5*T2^11 + 1140*T1^6*T2^11 - 728*T1^7*T2^11 - 
      1072*T1^8*T2^11 + 3408*T1^9*T2^11 - 3736*T1^10*T2^11 + 
      2420*T1^11*T2^11 - 712*T1^12*T2^11 + 176*T1^6*T2^12 - 712*T1^7*T2^12 + 
      1384*T1^8*T2^12 - 1736*T1^9*T2^12 + 1384*T1^10*T2^12 - 
      712*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1138] -> 
  {(3 - 11*T + 17*T^2 - 17*T^3 + 17*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-99 + 365*T1 - 563*T1^2 + 563*T1^3 - 563*T1^4 + 365*T1^5 - 99*T1^6 + 
     365*T2 - 1079*T1*T2 + 1093*T1^2*T2 - 561*T1^3*T2 + 561*T1^4*T2 + 
     169*T1^5*T2 - 617*T1^6*T2 + 266*T1^7*T2 - 563*T2^2 + 1093*T1*T2^2 + 
     183*T1^2*T2^2 - 1511*T1^3*T2^2 + 1051*T1^4*T2^2 - 2123*T1^5*T2^2 + 
     1611*T1^6*T2^2 - 29*T1^7*T2^2 - 257*T1^8*T2^2 + 563*T2^3 - 561*T1*T2^3 - 
     1511*T1^2*T2^3 + 2222*T1^3*T2^3 - 568*T1^4*T2^3 + 1506*T1^5*T2^3 + 
     46*T1^6*T2^3 - 1494*T1^7*T2^3 + 561*T1^8*T2^3 + 104*T1^9*T2^3 - 
     563*T2^4 + 561*T1*T2^4 + 1051*T1^2*T2^4 - 568*T1^3*T2^4 - 
     1664*T1^4*T2^4 + 270*T1^5*T2^4 - 1052*T1^6*T2^4 + 1200*T1^7*T2^4 + 
     405*T1^8*T2^4 - 561*T1^9*T2^4 + 49*T1^10*T2^4 + 365*T2^5 + 169*T1*T2^5 - 
     2123*T1^2*T2^5 + 1506*T1^3*T2^5 + 270*T1^4*T2^5 + 1953*T1^5*T2^5 - 
     1619*T1^6*T2^5 + 593*T1^7*T2^5 - 1180*T1^8*T2^5 + 376*T1^9*T2^5 + 
     301*T1^10*T2^5 - 130*T1^11*T2^5 - 99*T2^6 - 617*T1*T2^6 + 
     1611*T1^2*T2^6 + 46*T1^3*T2^6 - 1052*T1^4*T2^6 - 1619*T1^5*T2^6 + 
     768*T1^6*T2^6 + 1095*T1^7*T2^6 - 270*T1^8*T2^6 + 998*T1^9*T2^6 - 
     1061*T1^10*T2^6 + 241*T1^11*T2^6 + 63*T1^12*T2^6 + 266*T1*T2^7 - 
     29*T1^2*T2^7 - 1494*T1^3*T2^7 + 1200*T1^4*T2^7 + 593*T1^5*T2^7 + 
     1095*T1^6*T2^7 - 2477*T1^7*T2^7 + 916*T1^8*T2^7 - 1486*T1^9*T2^7 + 
     1005*T1^10*T2^7 + 103*T1^11*T2^7 - 229*T1^12*T2^7 - 257*T1^2*T2^8 + 
     561*T1^3*T2^8 + 405*T1^4*T2^8 - 1180*T1^5*T2^8 - 270*T1^6*T2^8 + 
     916*T1^7*T2^8 + 342*T1^8*T2^8 + 588*T1^9*T2^8 - 241*T1^10*T2^8 - 
     561*T1^11*T2^8 + 355*T1^12*T2^8 + 104*T1^3*T2^9 - 561*T1^4*T2^9 + 
     376*T1^5*T2^9 + 998*T1^6*T2^9 - 1486*T1^7*T2^9 + 588*T1^8*T2^9 - 
     1178*T1^9*T2^9 + 393*T1^10*T2^9 + 561*T1^11*T2^9 - 355*T1^12*T2^9 + 
     49*T1^4*T2^10 + 301*T1^5*T2^10 - 1061*T1^6*T2^10 + 1005*T1^7*T2^10 - 
     241*T1^8*T2^10 + 393*T1^9*T2^10 + 367*T1^10*T2^10 - 821*T1^11*T2^10 + 
     355*T1^12*T2^10 - 130*T1^5*T2^11 + 241*T1^6*T2^11 + 103*T1^7*T2^11 - 
     561*T1^8*T2^11 + 561*T1^9*T2^11 - 821*T1^10*T2^11 + 703*T1^11*T2^11 - 
     229*T1^12*T2^11 + 63*T1^6*T2^12 - 229*T1^7*T2^12 + 355*T1^8*T2^12 - 
     355*T1^9*T2^12 + 355*T1^10*T2^12 - 229*T1^11*T2^12 + 63*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1139] -> 
  {(6 - 25*T + 39*T^2 - 25*T^3 + 6*T^4)/T^2, 
   (-387 + 1615*T1 - 2517*T1^2 + 1615*T1^3 - 387*T1^4 + 1615*T2 - 
     6026*T1*T2 + 7516*T1^2*T2 - 2084*T1^3*T2 - 1376*T1^4*T2 + 715*T1^5*T2 - 
     2517*T2^2 + 7516*T1*T2^2 - 3587*T1^2*T2^2 - 10131*T1^3*T2^2 + 
     11857*T1^4*T2^2 - 4184*T1^5*T2^2 + 291*T1^6*T2^2 + 1615*T2^3 - 
     2084*T1*T2^3 - 10131*T1^2*T2^3 + 27341*T1^3*T2^3 - 21109*T1^4*T2^3 + 
     2544*T1^5*T2^3 + 3316*T1^6*T2^3 - 1085*T1^7*T2^3 - 387*T2^4 - 
     1376*T1*T2^4 + 11857*T1^2*T2^4 - 21109*T1^3*T2^4 + 6168*T1^4*T2^4 + 
     16541*T1^5*T2^4 - 13777*T1^6*T2^4 + 2524*T1^7*T2^4 + 477*T1^8*T2^4 + 
     715*T1*T2^5 - 4184*T1^2*T2^5 + 2544*T1^3*T2^5 + 16541*T1^4*T2^5 - 
     31909*T1^5*T2^5 + 15219*T1^6*T2^5 + 1216*T1^7*T2^5 - 1985*T1^8*T2^5 + 
     291*T1^2*T2^6 + 3316*T1^3*T2^6 - 13777*T1^4*T2^6 + 15219*T1^5*T2^6 + 
     1667*T1^6*T2^6 - 8384*T1^7*T2^6 + 3099*T1^8*T2^6 - 1085*T1^3*T2^7 + 
     2524*T1^4*T2^7 + 1216*T1^5*T2^7 - 8384*T1^6*T2^7 + 7174*T1^7*T2^7 - 
     1985*T1^8*T2^7 + 477*T1^4*T2^8 - 1985*T1^5*T2^8 + 3099*T1^6*T2^8 - 
     1985*T1^7*T2^8 + 477*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1140] -> 
  {-((3 - 11*T + 21*T^2 - 27*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-90 + 328*T1 - 624*T1^2 + 804*T1^3 - 624*T1^4 + 328*T1^5 - 90*T1^6 + 
      328*T2 - 967*T1*T2 + 1443*T1^2*T2 - 1349*T1^3*T2 + 235*T1^4*T2 + 
      387*T1^5*T2 - 505*T1^6*T2 + 229*T1^7*T2 - 624*T2^2 + 1443*T1*T2^2 - 
      1546*T1^2*T2^2 + 742*T1^3*T2^2 + 1340*T1^4*T2^2 - 1274*T1^5*T2^2 + 
      722*T1^6*T2^2 + 57*T1^7*T2^2 - 246*T1^8*T2^2 + 804*T2^3 - 
      1349*T1*T2^3 + 742*T1^2*T2^3 + 444*T1^3*T2^3 - 2564*T1^4*T2^3 + 
      748*T1^5*T2^3 + 342*T1^6*T2^3 - 1127*T1^7*T2^3 + 631*T1^8*T2^3 + 
      75*T1^9*T2^3 - 624*T2^4 + 235*T1*T2^4 + 1340*T1^2*T2^4 - 
      2564*T1^3*T2^4 + 3675*T1^4*T2^4 + 245*T1^5*T2^4 - 1293*T1^6*T2^4 + 
      1324*T1^7*T2^4 + 98*T1^8*T2^4 - 755*T1^9*T2^4 + 132*T1^10*T2^4 + 
      328*T2^5 + 387*T1*T2^5 - 1274*T1^2*T2^5 + 748*T1^3*T2^5 + 
      245*T1^4*T2^5 - 4387*T1^5*T2^5 + 2963*T1^6*T2^5 - 574*T1^7*T2^5 - 
      1412*T1^8*T2^5 + 1183*T1^9*T2^5 + 123*T1^10*T2^5 - 167*T1^11*T2^5 - 
      90*T2^6 - 505*T1*T2^6 + 722*T1^2*T2^6 + 342*T1^3*T2^6 - 
      1293*T1^4*T2^6 + 2963*T1^5*T2^6 + 456*T1^6*T2^6 - 3031*T1^7*T2^6 + 
      2649*T1^8*T2^6 - 654*T1^9*T2^6 - 822*T1^10*T2^6 + 353*T1^11*T2^6 + 
      72*T1^12*T2^6 + 229*T1*T2^7 + 57*T1^2*T2^7 - 1127*T1^3*T2^7 + 
      1324*T1^4*T2^7 - 574*T1^5*T2^7 - 3031*T1^6*T2^7 + 4319*T1^7*T2^7 - 
      1393*T1^8*T2^7 - 836*T1^9*T2^7 + 1330*T1^10*T2^7 - 207*T1^11*T2^7 - 
      266*T1^12*T2^7 - 246*T1^2*T2^8 + 631*T1^3*T2^8 + 98*T1^4*T2^8 - 
      1412*T1^5*T2^8 + 2649*T1^6*T2^8 - 1393*T1^7*T2^8 - 2319*T1^8*T2^8 + 
      2476*T1^9*T2^8 - 1144*T1^10*T2^8 - 359*T1^11*T2^8 + 510*T1^12*T2^8 + 
      75*T1^3*T2^9 - 755*T1^4*T2^9 + 1183*T1^5*T2^9 - 654*T1^6*T2^9 - 
      836*T1^7*T2^9 + 2476*T1^8*T2^9 - 756*T1^9*T2^9 - 686*T1^10*T2^9 + 
      1225*T1^11*T2^9 - 654*T1^12*T2^9 + 132*T1^4*T2^10 + 123*T1^5*T2^10 - 
      822*T1^6*T2^10 + 1330*T1^7*T2^10 - 1144*T1^8*T2^10 - 686*T1^9*T2^10 + 
      1446*T1^10*T2^10 - 1263*T1^11*T2^10 + 510*T1^12*T2^10 - 
      167*T1^5*T2^11 + 353*T1^6*T2^11 - 207*T1^7*T2^11 - 359*T1^8*T2^11 + 
      1225*T1^9*T2^11 - 1263*T1^10*T2^11 + 815*T1^11*T2^11 - 
      266*T1^12*T2^11 + 72*T1^6*T2^12 - 266*T1^7*T2^12 + 510*T1^8*T2^12 - 
      654*T1^9*T2^12 + 510*T1^10*T2^12 - 266*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1141] -> 
  {-((1 - 8*T + 22*T^2 - 34*T^3 + 37*T^4 - 34*T^5 + 22*T^6 - 8*T^7 + T^8)/
     T^4), -((-5 + 40*T1 - 110*T1^2 + 170*T1^3 - 185*T1^4 + 170*T1^5 - 
      110*T1^6 + 40*T1^7 - 5*T1^8 + 40*T2 - 288*T1*T2 + 625*T1^2*T2 - 
      657*T1^3*T2 + 392*T1^4*T2 - 176*T1^5*T2 - 209*T1^6*T2 + 385*T1^7*T2 - 
      216*T1^8*T2 + 32*T1^9*T2 - 110*T2^2 + 625*T1*T2^2 - 442*T1^2*T2^2 - 
      1374*T1^3*T2^2 + 3208*T1^4*T2^2 - 3512*T1^5*T2^2 + 3868*T1^6*T2^2 - 
      2518*T1^7*T2^2 + 482*T1^8*T2^2 + 273*T1^9*T2^2 - 66*T1^10*T2^2 + 
      170*T2^3 - 657*T1*T2^3 - 1374*T1^2*T2^3 + 5642*T1^3*T2^3 - 
      6704*T1^4*T2^3 + 3860*T1^5*T2^3 - 2924*T1^6*T2^3 - 1438*T1^7*T2^3 + 
      3932*T1^8*T2^3 - 2034*T1^9*T2^3 - 17*T1^10*T2^3 + 68*T1^11*T2^3 - 
      185*T2^4 + 392*T1*T2^4 + 3208*T1^2*T2^4 - 6704*T1^3*T2^4 + 
      2426*T1^4*T2^4 + 4425*T1^5*T2^4 - 4160*T1^6*T2^4 + 8737*T1^7*T2^4 - 
      6390*T1^8*T2^4 - 312*T1^9*T2^4 + 2112*T1^10*T2^4 - 248*T1^11*T2^4 - 
      37*T1^12*T2^4 + 170*T2^5 - 176*T1*T2^5 - 3512*T1^2*T2^5 + 
      3860*T1^3*T2^5 + 4425*T1^4*T2^5 - 9318*T1^5*T2^5 + 3190*T1^6*T2^5 - 
      5290*T1^7*T2^5 - 1440*T1^8*T2^5 + 6775*T1^9*T2^5 - 3164*T1^10*T2^5 - 
      896*T1^11*T2^5 + 296*T1^12*T2^5 - 110*T2^6 - 209*T1*T2^6 + 
      3868*T1^2*T2^6 - 2924*T1^3*T2^6 - 4160*T1^4*T2^6 + 3190*T1^5*T2^6 + 
      6489*T1^6*T2^6 - 2221*T1^7*T2^6 + 5393*T1^8*T2^6 - 4458*T1^9*T2^6 - 
      2080*T1^10*T2^6 + 3500*T1^11*T2^6 - 304*T1^12*T2^6 - 177*T1^13*T2^6 + 
      22*T1^14*T2^6 + 40*T2^7 + 385*T1*T2^7 - 2518*T1^2*T2^7 - 
      1438*T1^3*T2^7 + 8737*T1^4*T2^7 - 5290*T1^5*T2^7 - 2221*T1^6*T2^7 - 
      6024*T1^7*T2^7 + 4426*T1^8*T2^7 - 3185*T1^9*T2^7 + 4854*T1^10*T2^7 - 
      1461*T1^11*T2^7 - 2200*T1^12*T2^7 + 1046*T1^13*T2^7 - 47*T1^14*T2^7 - 
      16*T1^15*T2^7 - 5*T2^8 - 216*T1*T2^8 + 482*T1^2*T2^8 + 3932*T1^3*T2^8 - 
      6390*T1^4*T2^8 - 1440*T1^5*T2^8 + 5393*T1^6*T2^8 + 4426*T1^7*T2^8 - 
      996*T1^8*T2^8 - 3230*T1^9*T2^8 + 2097*T1^10*T2^8 - 4776*T1^11*T2^8 + 
      4946*T1^12*T2^8 - 1068*T1^13*T2^8 - 478*T1^14*T2^8 + 104*T1^15*T2^8 + 
      3*T1^16*T2^8 + 32*T1*T2^9 + 273*T1^2*T2^9 - 2034*T1^3*T2^9 - 
      312*T1^4*T2^9 + 6775*T1^5*T2^9 - 4458*T1^6*T2^9 - 3185*T1^7*T2^9 - 
      3230*T1^8*T2^9 + 7220*T1^9*T2^9 - 4149*T1^10*T2^9 + 5686*T1^11*T2^9 - 
      3423*T1^12*T2^9 - 1074*T1^13*T2^9 + 1530*T1^14*T2^9 - 159*T1^15*T2^9 - 
      24*T1^16*T2^9 - 66*T1^2*T2^10 - 17*T1^3*T2^10 + 2112*T1^4*T2^10 - 
      3164*T1^5*T2^10 - 2080*T1^6*T2^10 + 4854*T1^7*T2^10 + 2097*T1^8*T2^10 - 
      4149*T1^9*T2^10 + 1001*T1^10*T2^10 - 2794*T1^11*T2^10 + 
      3260*T1^13*T2^10 - 2060*T1^14*T2^10 + 15*T1^15*T2^10 + 66*T1^16*T2^10 + 
      68*T1^3*T2^11 - 248*T1^4*T2^11 - 896*T1^5*T2^11 + 3500*T1^6*T2^11 - 
      1461*T1^7*T2^11 - 4776*T1^8*T2^11 + 5686*T1^9*T2^11 - 
      2794*T1^10*T2^11 + 3102*T1^11*T2^11 + 889*T1^12*T2^11 - 
      3524*T1^13*T2^11 + 1720*T1^14*T2^11 + 224*T1^15*T2^11 - 
      102*T1^16*T2^11 - 37*T1^4*T2^12 + 296*T1^5*T2^12 - 304*T1^6*T2^12 - 
      2200*T1^7*T2^12 + 4946*T1^8*T2^12 - 3423*T1^9*T2^12 + 889*T1^11*T2^12 - 
      3870*T1^12*T2^12 + 4192*T1^13*T2^12 - 1400*T1^14*T2^12 - 
      344*T1^15*T2^12 + 111*T1^16*T2^12 - 177*T1^6*T2^13 + 1046*T1^7*T2^13 - 
      1068*T1^8*T2^13 - 1074*T1^9*T2^13 + 3260*T1^10*T2^13 - 
      3524*T1^11*T2^13 + 4192*T1^12*T2^13 - 2778*T1^13*T2^13 + 
      386*T1^14*T2^13 + 463*T1^15*T2^13 - 102*T1^16*T2^13 + 22*T1^6*T2^14 - 
      47*T1^7*T2^14 - 478*T1^8*T2^14 + 1530*T1^9*T2^14 - 2060*T1^10*T2^14 + 
      1720*T1^11*T2^14 - 1400*T1^12*T2^14 + 386*T1^13*T2^14 + 
      446*T1^14*T2^14 - 399*T1^15*T2^14 + 66*T1^16*T2^14 - 16*T1^7*T2^15 + 
      104*T1^8*T2^15 - 159*T1^9*T2^15 + 15*T1^10*T2^15 + 224*T1^11*T2^15 - 
      344*T1^12*T2^15 + 463*T1^13*T2^15 - 399*T1^14*T2^15 + 176*T1^15*T2^15 - 
      24*T1^16*T2^15 + 3*T1^8*T2^16 - 24*T1^9*T2^16 + 66*T1^10*T2^16 - 
      102*T1^11*T2^16 + 111*T1^12*T2^16 - 102*T1^13*T2^16 + 66*T1^14*T2^16 - 
      24*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1142] -> 
  {(4 - 14*T + 21*T^2 - 21*T^3 + 21*T^4 - 14*T^5 + 4*T^6)/T^3, 
   (-240 + 840*T1 - 1256*T1^2 + 1256*T1^3 - 1256*T1^4 + 840*T1^5 - 240*T1^6 + 
     840*T2 - 2322*T1*T2 + 2238*T1^2*T2 - 1176*T1^3*T2 + 1176*T1^4*T2 + 
     278*T1^5*T2 - 1314*T1^6*T2 + 616*T1^7*T2 - 1256*T2^2 + 2238*T1*T2^2 + 
     435*T1^2*T2^2 - 2837*T1^3*T2^2 + 1953*T1^4*T2^2 - 4013*T1^5*T2^2 + 
     3291*T1^6*T2^2 - 114*T1^7*T2^2 - 584*T1^8*T2^2 + 1256*T2^3 - 
     1176*T1*T2^3 - 2837*T1^2*T2^3 + 3864*T1^3*T2^3 - 866*T1^4*T2^3 + 
     2662*T1^5*T2^3 - 126*T1^6*T2^3 - 2837*T1^7*T2^3 + 1176*T1^8*T2^3 + 
     248*T1^9*T2^3 - 1256*T2^4 + 1176*T1*T2^4 + 1953*T1^2*T2^4 - 
     866*T1^3*T2^4 - 2988*T1^4*T2^4 + 276*T1^5*T2^4 - 1392*T1^6*T2^4 + 
     2074*T1^7*T2^4 + 777*T1^8*T2^4 - 1176*T1^9*T2^4 + 88*T1^10*T2^4 + 
     840*T2^5 + 278*T1*T2^5 - 4013*T1^2*T2^5 + 2662*T1^3*T2^5 + 
     276*T1^4*T2^5 + 3959*T1^5*T2^5 - 3349*T1^6*T2^5 + 1011*T1^7*T2^5 - 
     2042*T1^8*T2^5 + 691*T1^9*T2^5 + 670*T1^10*T2^5 - 280*T1^11*T2^5 - 
     240*T2^6 - 1314*T1*T2^6 + 3291*T1^2*T2^6 - 126*T1^3*T2^6 - 
     1392*T1^4*T2^6 - 3349*T1^5*T2^6 + 1272*T1^6*T2^6 + 2461*T1^7*T2^6 - 
     846*T1^8*T2^6 + 1974*T1^9*T2^6 - 2141*T1^10*T2^6 + 478*T1^11*T2^6 + 
     144*T1^12*T2^6 + 616*T1*T2^7 - 114*T1^2*T2^7 - 2837*T1^3*T2^7 + 
     2074*T1^4*T2^7 + 1011*T1^5*T2^7 + 2461*T1^6*T2^7 - 4847*T1^7*T2^7 + 
     1746*T1^8*T2^7 - 2630*T1^9*T2^7 + 1867*T1^10*T2^7 + 278*T1^11*T2^7 - 
     504*T1^12*T2^7 - 584*T1^2*T2^8 + 1176*T1^3*T2^8 + 777*T1^4*T2^8 - 
     2042*T1^5*T2^8 - 846*T1^6*T2^8 + 1746*T1^7*T2^8 + 750*T1^8*T2^8 + 
     898*T1^9*T2^8 - 399*T1^10*T2^8 - 1176*T1^11*T2^8 + 760*T1^12*T2^8 + 
     248*T1^3*T2^9 - 1176*T1^4*T2^9 + 691*T1^5*T2^9 + 1974*T1^6*T2^9 - 
     2630*T1^7*T2^9 + 898*T1^8*T2^9 - 2016*T1^9*T2^9 + 691*T1^10*T2^9 + 
     1176*T1^11*T2^9 - 760*T1^12*T2^9 + 88*T1^4*T2^10 + 670*T1^5*T2^10 - 
     2141*T1^6*T2^10 + 1867*T1^7*T2^10 - 399*T1^8*T2^10 + 691*T1^9*T2^10 + 
     715*T1^10*T2^10 - 1682*T1^11*T2^10 + 760*T1^12*T2^10 - 280*T1^5*T2^11 + 
     478*T1^6*T2^11 + 278*T1^7*T2^11 - 1176*T1^8*T2^11 + 1176*T1^9*T2^11 - 
     1682*T1^10*T2^11 + 1486*T1^11*T2^11 - 504*T1^12*T2^11 + 144*T1^6*T2^12 - 
     504*T1^7*T2^12 + 760*T1^8*T2^12 - 760*T1^9*T2^12 + 760*T1^10*T2^12 - 
     504*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1143] -> 
  {-((2 - 17*T + 49*T^2 - 69*T^3 + 49*T^4 - 17*T^5 + 2*T^6)/T^3), 
   -((-25 + 212*T1 - 610*T1^2 + 859*T1^3 - 610*T1^4 + 212*T1^5 - 25*T1^6 + 
      212*T2 - 1654*T1*T2 + 3962*T1^2*T2 - 3786*T1^3*T2 + 226*T1^4*T2 + 
      1718*T1^5*T2 - 1008*T1^6*T2 + 144*T1^7*T2 - 610*T2^2 + 3962*T1*T2^2 - 
      4794*T1^2*T2^2 - 7054*T1^3*T2^2 + 22004*T1^4*T2^2 - 17246*T1^5*T2^2 + 
      4418*T1^6*T2^2 + 630*T1^7*T2^2 - 218*T1^8*T2^2 + 859*T2^3 - 
      3786*T1*T2^3 - 7054*T1^2*T2^3 + 41233*T1^3*T2^3 - 55713*T1^4*T2^3 + 
      15257*T1^5*T2^3 + 15649*T1^6*T2^3 - 11513*T1^7*T2^3 + 1586*T1^8*T2^3 + 
      31*T1^9*T2^3 - 610*T2^4 + 226*T1*T2^4 + 22004*T1^2*T2^4 - 
      55713*T1^3*T2^4 + 27034*T1^4*T2^4 + 62772*T1^5*T2^4 - 76534*T1^6*T2^4 + 
      27501*T1^7*T2^4 + 1330*T1^8*T2^4 - 1746*T1^9*T2^4 + 174*T1^10*T2^4 + 
      212*T2^5 + 1718*T1*T2^5 - 17246*T1^2*T2^5 + 15257*T1^3*T2^5 + 
      62772*T1^4*T2^5 - 147034*T1^5*T2^5 + 90220*T1^6*T2^5 + 8725*T1^7*T2^5 - 
      31225*T1^8*T2^5 + 10145*T1^9*T2^5 - 390*T1^10*T2^5 - 128*T1^11*T2^5 - 
      25*T2^6 - 1008*T1*T2^6 + 4418*T1^2*T2^6 + 15649*T1^3*T2^6 - 
      76534*T1^4*T2^6 + 90220*T1^5*T2^6 + 20124*T1^6*T2^6 - 
      105560*T1^7*T2^6 + 70572*T1^8*T2^6 - 10997*T1^9*T2^6 - 
      4454*T1^10*T2^6 + 896*T1^11*T2^6 + 23*T1^12*T2^6 + 144*T1*T2^7 + 
      630*T1^2*T2^7 - 11513*T1^3*T2^7 + 27501*T1^4*T2^7 + 8725*T1^5*T2^7 - 
      105560*T1^6*T2^7 + 131694*T1^7*T2^7 - 45322*T1^8*T2^7 - 
      18981*T1^9*T2^7 + 15878*T1^10*T2^7 - 1478*T1^11*T2^7 - 196*T1^12*T2^7 - 
      218*T1^2*T2^8 + 1586*T1^3*T2^8 + 1330*T1^4*T2^8 - 31225*T1^5*T2^8 + 
      70572*T1^6*T2^8 - 45322*T1^7*T2^8 - 32996*T1^8*T2^8 + 51989*T1^9*T2^8 - 
      19344*T1^10*T2^8 - 386*T1^11*T2^8 + 566*T1^12*T2^8 + 31*T1^3*T2^9 - 
      1746*T1^4*T2^9 + 10145*T1^5*T2^9 - 10997*T1^6*T2^9 - 18981*T1^7*T2^9 + 
      51989*T1^8*T2^9 - 36581*T1^9*T2^9 + 5686*T1^10*T2^9 + 3626*T1^11*T2^9 - 
      797*T1^12*T2^9 + 174*T1^4*T2^10 - 390*T1^5*T2^10 - 4454*T1^6*T2^10 + 
      15878*T1^7*T2^10 - 19344*T1^8*T2^10 + 5686*T1^9*T2^10 + 
      4758*T1^10*T2^10 - 3722*T1^11*T2^10 + 566*T1^12*T2^10 - 
      128*T1^5*T2^11 + 896*T1^6*T2^11 - 1478*T1^7*T2^11 - 386*T1^8*T2^11 + 
      3626*T1^9*T2^11 - 3722*T1^10*T2^11 + 1542*T1^11*T2^11 - 
      196*T1^12*T2^11 + 23*T1^6*T2^12 - 196*T1^7*T2^12 + 566*T1^8*T2^12 - 
      797*T1^9*T2^12 + 566*T1^10*T2^12 - 196*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1144] -> 
  {(8 - 32*T + 49*T^2 - 32*T^3 + 8*T^4)/T^2, 
   (2*(-480 + 1904*T1 - 2904*T1^2 + 1904*T1^3 - 480*T1^4 + 1904*T2 - 
      6672*T1*T2 + 8060*T1^2*T2 - 2308*T1^3*T2 - 1552*T1^4*T2 + 880*T1^5*T2 - 
      2904*T2^2 + 8060*T1*T2^2 - 3743*T1^2*T2^2 - 10110*T1^3*T2^2 + 
      12329*T1^4*T2^2 - 4484*T1^5*T2^2 + 232*T1^6*T2^2 + 1904*T2^3 - 
      2308*T1*T2^3 - 10110*T1^2*T2^3 + 26990*T1^3*T2^3 - 21154*T1^4*T2^3 + 
      2434*T1^5*T2^3 + 3708*T1^6*T2^3 - 1168*T1^7*T2^3 - 480*T2^4 - 
      1552*T1*T2^4 + 12329*T1^2*T2^4 - 21154*T1^3*T2^4 + 5994*T1^4*T2^4 + 
      16734*T1^5*T2^4 - 14167*T1^6*T2^4 + 2544*T1^7*T2^4 + 544*T1^8*T2^4 + 
      880*T1*T2^5 - 4484*T1^2*T2^5 + 2434*T1^3*T2^5 + 16734*T1^4*T2^5 - 
      31410*T1^5*T2^5 + 14978*T1^6*T2^5 + 1532*T1^7*T2^5 - 2192*T1^8*T2^5 + 
      232*T1^2*T2^6 + 3708*T1^3*T2^6 - 14167*T1^4*T2^6 + 14978*T1^5*T2^6 + 
      1905*T1^6*T2^6 - 8836*T1^7*T2^6 + 3368*T1^8*T2^6 - 1168*T1^3*T2^7 + 
      2544*T1^4*T2^7 + 1532*T1^5*T2^7 - 8836*T1^6*T2^7 + 7664*T1^7*T2^7 - 
      2192*T1^8*T2^7 + 544*T1^4*T2^8 - 2192*T1^5*T2^8 + 3368*T1^6*T2^8 - 
      2192*T1^7*T2^8 + 544*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1145] -> 
  {-((2 - 6*T + 10*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 10*T^6 - 6*T^7 + 2*T^8)/
     T^4), -((-41 + 123*T1 - 205*T1^2 + 287*T1^3 - 307*T1^4 + 287*T1^5 - 
      205*T1^6 + 123*T1^7 - 41*T1^8 + 123*T2 - 270*T1*T2 + 318*T1^2*T2 - 
      366*T1^3*T2 + 228*T1^4*T2 - 120*T1^5*T2 - 78*T1^6*T2 + 126*T1^7*T2 - 
      174*T1^8*T2 + 99*T1^9*T2 - 205*T2^2 + 318*T1*T2^2 - 259*T1^2*T2^2 + 
      325*T1^3*T2^2 - 69*T1^4*T2^2 + 63*T1^5*T2^2 + 131*T1^6*T2^2 + 
      5*T1^7*T2^2 + 61*T1^8*T2^2 + 78*T1^9*T2^2 - 125*T1^10*T2^2 + 287*T2^3 - 
      366*T1*T2^3 + 325*T1^2*T2^3 - 540*T1^3*T2^3 + 166*T1^4*T2^3 - 
      298*T1^5*T2^3 - 22*T1^6*T2^3 - 158*T1^7*T2^3 - 156*T1^8*T2^3 - 
      35*T1^9*T2^3 + 18*T1^10*T2^3 + 119*T1^11*T2^3 - 307*T2^4 + 
      228*T1*T2^4 - 69*T1^2*T2^4 + 166*T1^3*T2^4 + 551*T1^4*T2^4 - 
      355*T1^5*T2^4 + 811*T1^6*T2^4 - 475*T1^7*T2^4 + 767*T1^8*T2^4 - 
      170*T1^9*T2^4 + 123*T1^10*T2^4 - 156*T1^11*T2^4 - 67*T1^12*T2^4 + 
      287*T2^5 - 120*T1*T2^5 + 63*T1^2*T2^5 - 298*T1^3*T2^5 - 355*T1^4*T2^5 - 
      160*T1^5*T2^5 - 298*T1^6*T2^5 - 118*T1^7*T2^5 - 230*T1^8*T2^5 - 
      375*T1^9*T2^5 + 82*T1^10*T2^5 + 3*T1^11*T2^5 + 180*T1^12*T2^5 + 
      7*T1^13*T2^5 - 205*T2^6 - 78*T1*T2^6 + 131*T1^2*T2^6 - 22*T1^3*T2^6 + 
      811*T1^4*T2^6 - 298*T1^5*T2^6 + 863*T1^6*T2^6 - 423*T1^7*T2^6 + 
      635*T1^8*T2^6 - 10*T1^9*T2^6 + 307*T1^10*T2^6 - 142*T1^11*T2^6 - 
      85*T1^12*T2^6 - 126*T1^13*T2^6 + 35*T1^14*T2^6 + 123*T2^7 + 
      126*T1*T2^7 + 5*T1^2*T2^7 - 158*T1^3*T2^7 - 475*T1^4*T2^7 - 
      118*T1^5*T2^7 - 423*T1^6*T2^7 + 8*T1^7*T2^7 - 130*T1^8*T2^7 - 
      243*T1^9*T2^7 - 82*T1^10*T2^7 - 55*T1^11*T2^7 + 118*T1^12*T2^7 + 
      125*T1^13*T2^7 + 30*T1^14*T2^7 - 45*T1^15*T2^7 - 41*T2^8 - 
      174*T1*T2^8 + 61*T1^2*T2^8 - 156*T1^3*T2^8 + 767*T1^4*T2^8 - 
      230*T1^5*T2^8 + 635*T1^6*T2^8 - 130*T1^7*T2^8 + 24*T1^8*T2^8 + 
      166*T1^9*T2^8 - 5*T1^10*T2^8 + 98*T1^11*T2^8 - 129*T1^12*T2^8 - 
      60*T1^13*T2^8 - 115*T1^14*T2^8 + 66*T1^15*T2^8 + 23*T1^16*T2^8 + 
      99*T1*T2^9 + 78*T1^2*T2^9 - 35*T1^3*T2^9 - 170*T1^4*T2^9 - 
      375*T1^5*T2^9 - 10*T1^6*T2^9 - 243*T1^7*T2^9 + 166*T1^8*T2^9 + 
      28*T1^9*T2^9 - 63*T1^10*T2^9 + 26*T1^11*T2^9 + 45*T1^12*T2^9 + 
      106*T1^13*T2^9 + 85*T1^14*T2^9 - 18*T1^15*T2^9 - 69*T1^16*T2^9 - 
      125*T1^2*T2^10 + 18*T1^3*T2^10 + 123*T1^4*T2^10 + 82*T1^5*T2^10 + 
      307*T1^6*T2^10 - 82*T1^7*T2^10 - 5*T1^8*T2^10 - 63*T1^9*T2^10 - 
      233*T1^10*T2^10 + 206*T1^11*T2^10 - 197*T1^12*T2^10 - 38*T1^13*T2^10 - 
      93*T1^14*T2^10 - 30*T1^15*T2^10 + 115*T1^16*T2^10 + 119*T1^3*T2^11 - 
      156*T1^4*T2^11 + 3*T1^5*T2^11 - 142*T1^6*T2^11 - 55*T1^7*T2^11 + 
      98*T1^8*T2^11 + 26*T1^9*T2^11 + 206*T1^10*T2^11 + 28*T1^11*T2^11 - 
      75*T1^12*T2^11 + 238*T1^13*T2^11 - 57*T1^14*T2^11 + 144*T1^15*T2^11 - 
      161*T1^16*T2^11 - 67*T1^4*T2^12 + 180*T1^5*T2^12 - 85*T1^6*T2^12 + 
      118*T1^7*T2^12 - 129*T1^8*T2^12 + 45*T1^9*T2^12 - 197*T1^10*T2^12 - 
      75*T1^11*T2^12 + 87*T1^12*T2^12 - 218*T1^13*T2^12 + 107*T1^14*T2^12 - 
      204*T1^15*T2^12 + 173*T1^16*T2^12 + 7*T1^5*T2^13 - 126*T1^6*T2^13 + 
      125*T1^7*T2^13 - 60*T1^8*T2^13 + 106*T1^9*T2^13 - 38*T1^10*T2^13 + 
      238*T1^11*T2^13 - 218*T1^12*T2^13 + 324*T1^13*T2^13 - 235*T1^14*T2^13 + 
      258*T1^15*T2^13 - 161*T1^16*T2^13 + 35*T1^6*T2^14 + 30*T1^7*T2^14 - 
      115*T1^8*T2^14 + 85*T1^9*T2^14 - 93*T1^10*T2^14 - 57*T1^11*T2^14 + 
      107*T1^12*T2^14 - 235*T1^13*T2^14 + 205*T1^14*T2^14 - 210*T1^15*T2^14 + 
      115*T1^16*T2^14 - 45*T1^7*T2^15 + 66*T1^8*T2^15 - 18*T1^9*T2^15 - 
      30*T1^10*T2^15 + 144*T1^11*T2^15 - 204*T1^12*T2^15 + 258*T1^13*T2^15 - 
      210*T1^14*T2^15 + 162*T1^15*T2^15 - 69*T1^16*T2^15 + 23*T1^8*T2^16 - 
      69*T1^9*T2^16 + 115*T1^10*T2^16 - 161*T1^11*T2^16 + 173*T1^12*T2^16 - 
      161*T1^13*T2^16 + 115*T1^14*T2^16 - 69*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1146] -> 
  {-(((1 - T + T^2)*(4 - 10*T + 11*T^2 - 10*T^3 + 4*T^4))/T^3), 
   -((-208 + 724*T1 - 1292*T1^2 + 1608*T1^3 - 1292*T1^4 + 724*T1^5 - 
      208*T1^6 + 724*T2 - 2022*T1*T2 + 2764*T1^2*T2 - 2500*T1^3*T2 + 
      636*T1^4*T2 + 580*T1^5*T2 - 1014*T1^6*T2 + 500*T1^7*T2 - 1292*T2^2 + 
      2764*T1*T2^2 - 2513*T1^2*T2^2 + 1051*T1^3*T2^2 + 2153*T1^4*T2^2 - 
      2349*T1^5*T2^2 + 1687*T1^6*T2^2 - 36*T1^7*T2^2 - 492*T1^8*T2^2 + 
      1608*T2^3 - 2500*T1*T2^3 + 1051*T1^2*T2^3 + 606*T1^3*T2^3 - 
      3606*T1^4*T2^3 + 1486*T1^5*T2^3 - 24*T1^6*T2^3 - 1949*T1^7*T2^3 + 
      1308*T1^8*T2^3 + 120*T1^9*T2^3 - 1292*T2^4 + 636*T1*T2^4 + 
      2153*T1^2*T2^4 - 3606*T1^3*T2^4 + 5501*T1^4*T2^4 - 907*T1^5*T2^4 - 
      855*T1^6*T2^4 + 2222*T1^7*T2^4 + T1^8*T2^4 - 1492*T1^9*T2^4 + 
      308*T1^10*T2^4 + 724*T2^5 + 580*T1*T2^5 - 2349*T1^2*T2^5 + 
      1486*T1^3*T2^5 - 907*T1^4*T2^5 - 4171*T1^5*T2^5 + 3319*T1^6*T2^5 - 
      1382*T1^7*T2^5 - 2134*T1^8*T2^5 + 2251*T1^9*T2^5 + 300*T1^10*T2^5 - 
      396*T1^11*T2^5 - 208*T2^6 - 1014*T1*T2^6 + 1687*T1^2*T2^6 - 
      24*T1^3*T2^6 - 855*T1^4*T2^6 + 3319*T1^5*T2^6 - 24*T1^6*T2^6 - 
      2811*T1^7*T2^6 + 3491*T1^8*T2^6 - 900*T1^9*T2^6 - 1889*T1^10*T2^6 + 
      778*T1^11*T2^6 + 176*T1^12*T2^6 + 500*T1*T2^7 - 36*T1^2*T2^7 - 
      1949*T1^3*T2^7 + 2222*T1^4*T2^7 - 1382*T1^5*T2^7 - 2811*T1^6*T2^7 + 
      4679*T1^7*T2^7 - 1857*T1^8*T2^7 - 1398*T1^9*T2^7 + 2651*T1^10*T2^7 - 
      316*T1^11*T2^7 - 620*T1^12*T2^7 - 492*T1^2*T2^8 + 1308*T1^3*T2^8 + 
      T1^4*T2^8 - 2134*T1^5*T2^8 + 3491*T1^6*T2^8 - 1857*T1^7*T2^8 - 
      2865*T1^8*T2^8 + 3694*T1^9*T2^8 - 2151*T1^10*T2^8 - 820*T1^11*T2^8 + 
      1108*T1^12*T2^8 + 120*T1^3*T2^9 - 1492*T1^4*T2^9 + 2251*T1^5*T2^9 - 
      900*T1^6*T2^9 - 1398*T1^7*T2^9 + 3694*T1^8*T2^9 - 1530*T1^9*T2^9 - 
      749*T1^10*T2^9 + 2316*T1^11*T2^9 - 1368*T1^12*T2^9 + 308*T1^4*T2^10 + 
      300*T1^5*T2^10 - 1889*T1^6*T2^10 + 2651*T1^7*T2^10 - 2151*T1^8*T2^10 - 
      749*T1^9*T2^10 + 2311*T1^10*T2^10 - 2500*T1^11*T2^10 + 
      1108*T1^12*T2^10 - 396*T1^5*T2^11 + 778*T1^6*T2^11 - 316*T1^7*T2^11 - 
      820*T1^8*T2^11 + 2316*T1^9*T2^11 - 2500*T1^10*T2^11 + 
      1786*T1^11*T2^11 - 620*T1^12*T2^11 + 176*T1^6*T2^12 - 620*T1^7*T2^12 + 
      1108*T1^8*T2^12 - 1368*T1^9*T2^12 + 1108*T1^10*T2^12 - 
      620*T1^11*T2^12 + 176*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1147] -> 
  {-(((1 - T + T^2)*(2 - 5*T + 8*T^2 - 11*T^3 + 8*T^4 - 5*T^5 + 2*T^6))/T^4), 
   -((-41 + 143*T1 - 306*T1^2 + 490*T1^3 - 551*T1^4 + 490*T1^5 - 306*T1^6 + 
      143*T1^7 - 41*T1^8 + 143*T2 - 384*T1*T2 + 667*T1^2*T2 - 852*T1^3*T2 + 
      549*T1^4*T2 - 165*T1^5*T2 - 306*T1^6*T2 + 359*T1^7*T2 - 258*T1^8*T2 + 
      115*T1^9*T2 - 306*T2^2 + 667*T1*T2^2 - 1065*T1^2*T2^2 + 
      1294*T1^3*T2^2 - 676*T1^4*T2^2 + 445*T1^5*T2^2 + 44*T1^6*T2^2 + 
      274*T1^7*T2^2 - 285*T1^8*T2^2 + 247*T1^9*T2^2 - 186*T1^10*T2^2 + 
      490*T2^3 - 852*T1*T2^3 + 1294*T1^2*T2^3 - 1483*T1^3*T2^3 + 
      435*T1^4*T2^3 - 532*T1^5*T2^3 - 271*T1^6*T2^3 - 366*T1^7*T2^3 - 
      49*T1^8*T2^3 + 79*T1^9*T2^3 - 54*T1^10*T2^3 + 202*T1^11*T2^3 - 
      551*T2^4 + 549*T1*T2^4 - 676*T1^2*T2^4 + 435*T1^3*T2^4 + 
      1052*T1^4*T2^4 - 229*T1^5*T2^4 + 1196*T1^6*T2^4 + 131*T1^7*T2^4 + 
      740*T1^8*T2^4 - 381*T1^9*T2^4 + 212*T1^10*T2^4 - 291*T1^11*T2^4 - 
      119*T1^12*T2^4 + 490*T2^5 - 165*T1*T2^5 + 445*T1^2*T2^5 - 
      532*T1^3*T2^5 - 229*T1^4*T2^5 - 1739*T1^5*T2^5 + 182*T1^6*T2^5 - 
      1345*T1^7*T2^5 - 737*T1^8*T2^5 + 113*T1^9*T2^5 - 37*T1^10*T2^5 + 
      94*T1^11*T2^5 + 381*T1^12*T2^5 + 10*T1^13*T2^5 - 306*T2^6 - 
      306*T1*T2^6 + 44*T1^2*T2^6 - 271*T1^3*T2^6 + 1196*T1^4*T2^6 + 
      182*T1^5*T2^6 + 2687*T1^6*T2^6 - 1545*T1^7*T2^6 + 3323*T1^8*T2^6 - 
      1108*T1^9*T2^6 + 458*T1^10*T2^6 - 181*T1^11*T2^6 - 340*T1^12*T2^6 - 
      222*T1^13*T2^6 + 54*T1^14*T2^6 + 143*T2^7 + 359*T1*T2^7 + 
      274*T1^2*T2^7 - 366*T1^3*T2^7 + 131*T1^4*T2^7 - 1345*T1^5*T2^7 - 
      1545*T1^6*T2^7 + 129*T1^7*T2^7 - 1467*T1^8*T2^7 - 813*T1^9*T2^7 + 
      656*T1^10*T2^7 - 283*T1^11*T2^7 + 375*T1^12*T2^7 + 319*T1^13*T2^7 - 
      5*T1^14*T2^7 - 53*T1^15*T2^7 - 41*T2^8 - 258*T1*T2^8 - 285*T1^2*T2^8 - 
      49*T1^3*T2^8 + 740*T1^4*T2^8 - 737*T1^5*T2^8 + 3323*T1^6*T2^8 - 
      1467*T1^7*T2^8 + 1548*T1^8*T2^8 + 655*T1^9*T2^8 - 337*T1^10*T2^8 - 
      191*T1^11*T2^8 - 16*T1^12*T2^8 - 403*T1^13*T2^8 - 63*T1^14*T2^8 + 
      106*T1^15*T2^8 + 23*T1^16*T2^8 + 115*T1*T2^9 + 247*T1^2*T2^9 + 
      79*T1^3*T2^9 - 381*T1^4*T2^9 + 113*T1^5*T2^9 - 1108*T1^6*T2^9 - 
      813*T1^7*T2^9 + 655*T1^8*T2^9 - 941*T1^9*T2^9 - 81*T1^10*T2^9 + 
      893*T1^11*T2^9 - 301*T1^12*T2^9 + 360*T1^13*T2^9 + 124*T1^14*T2^9 - 
      117*T1^15*T2^9 - 81*T1^16*T2^9 - 186*T1^2*T2^10 - 54*T1^3*T2^10 + 
      212*T1^4*T2^10 - 37*T1^5*T2^10 + 458*T1^6*T2^10 + 656*T1^7*T2^10 - 
      337*T1^8*T2^10 - 81*T1^9*T2^10 + 299*T1^10*T2^10 - 634*T1^11*T2^10 - 
      280*T1^12*T2^10 + 53*T1^13*T2^10 - 172*T1^14*T2^10 + 30*T1^15*T2^10 + 
      174*T1^16*T2^10 + 202*T1^3*T2^11 - 291*T1^4*T2^11 + 94*T1^5*T2^11 - 
      181*T1^6*T2^11 - 283*T1^7*T2^11 - 191*T1^8*T2^11 + 893*T1^9*T2^11 - 
      634*T1^10*T2^11 + 811*T1^11*T2^11 + 59*T1^12*T2^11 + 314*T1^13*T2^11 - 
      257*T1^14*T2^11 + 255*T1^15*T2^11 - 278*T1^16*T2^11 - 119*T1^4*T2^12 + 
      381*T1^5*T2^12 - 340*T1^6*T2^12 + 375*T1^7*T2^12 - 16*T1^8*T2^12 - 
      301*T1^9*T2^12 - 280*T1^10*T2^12 + 59*T1^11*T2^12 - 328*T1^12*T2^12 - 
      441*T1^13*T2^12 + 548*T1^14*T2^12 - 459*T1^15*T2^12 + 313*T1^16*T2^12 + 
      10*T1^5*T2^13 - 222*T1^6*T2^13 + 319*T1^7*T2^13 - 403*T1^8*T2^13 + 
      360*T1^9*T2^13 + 53*T1^10*T2^13 + 314*T1^11*T2^13 - 441*T1^12*T2^13 + 
      1031*T1^13*T2^13 - 896*T1^14*T2^13 + 576*T1^15*T2^13 - 
      278*T1^16*T2^13 + 54*T1^6*T2^14 - 5*T1^7*T2^14 - 63*T1^8*T2^14 + 
      124*T1^9*T2^14 - 172*T1^10*T2^14 - 257*T1^11*T2^14 + 548*T1^12*T2^14 - 
      896*T1^13*T2^14 + 717*T1^14*T2^14 - 425*T1^15*T2^14 + 174*T1^16*T2^14 - 
      53*T1^7*T2^15 + 106*T1^8*T2^15 - 117*T1^9*T2^15 + 30*T1^10*T2^15 + 
      255*T1^11*T2^15 - 459*T1^12*T2^15 + 576*T1^13*T2^15 - 425*T1^14*T2^15 + 
      232*T1^15*T2^15 - 81*T1^16*T2^15 + 23*T1^8*T2^16 - 81*T1^9*T2^16 + 
      174*T1^10*T2^16 - 278*T1^11*T2^16 + 313*T1^12*T2^16 - 278*T1^13*T2^16 + 
      174*T1^14*T2^16 - 81*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1148] -> 
  {-((3 - 9*T + 15*T^2 - 19*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((-90 + 270*T1 - 450*T1^2 + 572*T1^3 - 450*T1^4 + 270*T1^5 - 90*T1^6 + 
      270*T2 - 621*T1*T2 + 783*T1^2*T2 - 771*T1^3*T2 + 147*T1^4*T2 + 
      135*T1^5*T2 - 297*T1^6*T2 + 189*T1^7*T2 - 450*T2^2 + 783*T1*T2^2 - 
      729*T1^2*T2^2 + 583*T1^3*T2^2 + 423*T1^4*T2^2 - 317*T1^5*T2^2 + 
      351*T1^6*T2^2 - 27*T1^7*T2^2 - 180*T1^8*T2^2 + 572*T2^3 - 771*T1*T2^3 + 
      583*T1^2*T2^3 - 550*T1^3*T2^3 - 578*T1^4*T2^3 - 92*T1^5*T2^3 - 
      28*T1^6*T2^3 - 362*T1^7*T2^3 + 363*T1^8*T2^3 + 59*T1^9*T2^3 - 
      450*T2^4 + 147*T1*T2^4 + 423*T1^2*T2^4 - 578*T1^3*T2^4 + 
      1662*T1^4*T2^4 - 316*T1^5*T2^4 + 402*T1^6*T2^4 + 106*T1^7*T2^4 + 
      45*T1^8*T2^4 - 447*T1^9*T2^4 + 90*T1^10*T2^4 + 270*T2^5 + 135*T1*T2^5 - 
      317*T1^2*T2^5 - 92*T1^3*T2^5 - 316*T1^4*T2^5 - 1165*T1^5*T2^5 + 
      425*T1^6*T2^5 - 271*T1^7*T2^5 - 182*T1^8*T2^5 + 448*T1^9*T2^5 + 
      135*T1^10*T2^5 - 135*T1^11*T2^5 - 90*T2^6 - 297*T1*T2^6 + 
      351*T1^2*T2^6 - 28*T1^3*T2^6 + 402*T1^4*T2^6 + 425*T1^5*T2^6 + 
      540*T1^6*T2^6 - 673*T1^7*T2^6 + 456*T1^8*T2^6 - 244*T1^9*T2^6 - 
      405*T1^10*T2^6 + 189*T1^11*T2^6 + 72*T1^12*T2^6 + 189*T1*T2^7 - 
      27*T1^2*T2^7 - 362*T1^3*T2^7 + 106*T1^4*T2^7 - 271*T1^5*T2^7 - 
      673*T1^6*T2^7 + 917*T1^7*T2^7 - 226*T1^8*T2^7 + 16*T1^9*T2^7 + 
      403*T1^10*T2^7 - 27*T1^11*T2^7 - 216*T1^12*T2^7 - 180*T1^2*T2^8 + 
      363*T1^3*T2^8 + 45*T1^4*T2^8 - 182*T1^5*T2^8 + 456*T1^6*T2^8 - 
      226*T1^7*T2^8 - 804*T1^8*T2^8 + 502*T1^9*T2^8 - 333*T1^10*T2^8 - 
      231*T1^11*T2^8 + 360*T1^12*T2^8 + 59*T1^3*T2^9 - 447*T1^4*T2^9 + 
      448*T1^5*T2^9 - 244*T1^6*T2^9 + 16*T1^7*T2^9 + 502*T1^8*T2^9 + 
      278*T1^9*T2^9 - 497*T1^10*T2^9 + 687*T1^11*T2^9 - 454*T1^12*T2^9 + 
      90*T1^4*T2^10 + 135*T1^5*T2^10 - 405*T1^6*T2^10 + 403*T1^7*T2^10 - 
      333*T1^8*T2^10 - 497*T1^9*T2^10 + 675*T1^10*T2^10 - 675*T1^11*T2^10 + 
      360*T1^12*T2^10 - 135*T1^5*T2^11 + 189*T1^6*T2^11 - 27*T1^7*T2^11 - 
      231*T1^8*T2^11 + 687*T1^9*T2^11 - 675*T1^10*T2^11 + 513*T1^11*T2^11 - 
      216*T1^12*T2^11 + 72*T1^6*T2^12 - 216*T1^7*T2^12 + 360*T1^8*T2^12 - 
      454*T1^9*T2^12 + 360*T1^10*T2^12 - 216*T1^11*T2^12 + 72*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1149] -> 
  {-((4 - 9*T + 9*T^2 - 9*T^3 + 4*T^4)/T^2), 
   -((-100 + 230*T1 - 230*T1^2 + 230*T1^3 - 100*T1^4 + 230*T2 - 444*T1*T2 + 
      324*T1^2*T2 - 324*T1^3*T2 + 24*T1^4*T2 + 86*T1^5*T2 - 230*T2^2 + 
      324*T1*T2^2 - 40*T1^2*T2^2 + 60*T1^3*T2^2 + 320*T1^4*T2^2 - 
      324*T1^5*T2^2 + 58*T1^6*T2^2 + 230*T2^3 - 324*T1*T2^3 + 60*T1^2*T2^3 - 
      183*T1^3*T2^3 - 237*T1^4*T2^3 + 141*T1^5*T2^3 + 324*T1^6*T2^3 - 
      202*T1^7*T2^3 - 100*T2^4 + 24*T1*T2^4 + 320*T1^2*T2^4 - 237*T1^3*T2^4 + 
      420*T1^4*T2^4 - 3*T1^5*T2^4 - 562*T1^6*T2^4 + 96*T1^7*T2^4 + 
      156*T1^8*T2^4 + 86*T1*T2^5 - 324*T1^2*T2^5 + 141*T1^3*T2^5 - 
      3*T1^4*T2^5 - 57*T1^5*T2^5 + 222*T1^6*T2^5 + 324*T1^7*T2^5 - 
      346*T1^8*T2^5 + 58*T1^2*T2^6 + 324*T1^3*T2^6 - 562*T1^4*T2^6 + 
      222*T1^5*T2^6 - 202*T1^6*T2^6 - 324*T1^7*T2^6 + 346*T1^8*T2^6 - 
      202*T1^3*T2^7 + 96*T1^4*T2^7 + 324*T1^5*T2^7 - 324*T1^6*T2^7 + 
      564*T1^7*T2^7 - 346*T1^8*T2^7 + 156*T1^4*T2^8 - 346*T1^5*T2^8 + 
      346*T1^6*T2^8 - 346*T1^7*T2^8 + 156*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 1150] -> 
  {(1 - 8*T + 23*T^2 - 41*T^3 + 51*T^4 - 41*T^5 + 23*T^6 - 8*T^7 + T^8)/T^4, 
   (-4 + 32*T1 - 92*T1^2 + 164*T1^3 - 204*T1^4 + 164*T1^5 - 92*T1^6 + 
     32*T1^7 - 4*T1^8 + 32*T2 - 232*T1*T2 + 545*T1^2*T2 - 762*T1^3*T2 + 
     649*T1^4*T2 - 87*T1^5*T2 - 250*T1^6*T2 + 297*T1^7*T2 - 160*T1^8*T2 + 
     24*T1^9*T2 - 92*T2^2 + 545*T1*T2^2 - 631*T1^2*T2^2 - 276*T1^3*T2^2 + 
     2144*T1^4*T2^2 - 4173*T1^5*T2^2 + 3432*T1^6*T2^2 - 1794*T1^7*T2^2 + 
     381*T1^8*T2^2 + 177*T1^9*T2^2 - 46*T1^10*T2^2 + 164*T2^3 - 762*T1*T2^3 - 
     276*T1^2*T2^3 + 3105*T1^3*T2^3 - 6229*T1^4*T2^3 + 7358*T1^5*T2^3 - 
     1698*T1^6*T2^3 - 1710*T1^7*T2^3 + 2567*T1^8*T2^3 - 1449*T1^9*T2^3 + 
     38*T1^10*T2^3 + 41*T1^11*T2^3 - 204*T2^4 + 649*T1*T2^4 + 
     2144*T1^2*T2^4 - 6229*T1^3*T2^4 + 8340*T1^4*T2^4 - 5809*T1^5*T2^4 - 
     5366*T1^6*T2^4 + 5827*T1^7*T2^4 - 3108*T1^8*T2^4 - 161*T1^9*T2^4 + 
     1588*T1^10*T2^4 - 327*T1^11*T2^4 + 164*T2^5 - 87*T1*T2^5 - 
     4173*T1^2*T2^5 + 7358*T1^3*T2^5 - 5809*T1^4*T2^5 - 728*T1^5*T2^5 + 
     12055*T1^6*T2^5 - 2720*T1^7*T2^5 - 3982*T1^8*T2^5 + 5911*T1^9*T2^5 - 
     3902*T1^10*T2^5 - 39*T1^11*T2^5 + 329*T1^12*T2^5 - 41*T1^13*T2^5 - 
     92*T2^6 - 250*T1*T2^6 + 3432*T1^2*T2^6 - 1698*T1^3*T2^6 - 
     5366*T1^4*T2^6 + 12055*T1^5*T2^6 - 14339*T1^6*T2^6 - 6351*T1^7*T2^6 + 
     11089*T1^8*T2^6 - 5421*T1^9*T2^6 - 508*T1^10*T2^6 + 4052*T1^11*T2^6 - 
     1544*T1^12*T2^6 - 42*T1^13*T2^6 + 46*T1^14*T2^6 + 32*T2^7 + 
     297*T1*T2^7 - 1794*T1^2*T2^7 - 1710*T1^3*T2^7 + 5827*T1^4*T2^7 - 
     2720*T1^5*T2^7 - 6351*T1^6*T2^7 + 24480*T1^7*T2^7 - 14852*T1^8*T2^7 - 
     2086*T1^9*T2^7 + 6653*T1^10*T2^7 - 5557*T1^11*T2^7 - 33*T1^12*T2^7 + 
     1449*T1^13*T2^7 - 175*T1^14*T2^7 - 24*T1^15*T2^7 - 4*T2^8 - 
     160*T1*T2^8 + 381*T1^2*T2^8 + 2567*T1^3*T2^8 - 3108*T1^4*T2^8 - 
     3982*T1^5*T2^8 + 11089*T1^6*T2^8 - 14852*T1^7*T2^8 - 3444*T1^8*T2^8 + 
     17840*T1^9*T2^8 - 9617*T1^10*T2^8 + 2482*T1^11*T2^8 + 3328*T1^12*T2^8 - 
     2495*T1^13*T2^8 - 391*T1^14*T2^8 + 160*T1^15*T2^8 + 4*T1^16*T2^8 + 
     24*T1*T2^9 + 177*T1^2*T2^9 - 1449*T1^3*T2^9 - 161*T1^4*T2^9 + 
     5911*T1^5*T2^9 - 5421*T1^6*T2^9 - 2086*T1^7*T2^9 + 17840*T1^8*T2^9 - 
     21492*T1^9*T2^9 + 2179*T1^10*T2^9 + 3952*T1^11*T2^9 - 5473*T1^12*T2^9 + 
     1516*T1^13*T2^9 + 1794*T1^14*T2^9 - 295*T1^15*T2^9 - 32*T1^16*T2^9 - 
     46*T1^2*T2^10 + 38*T1^3*T2^10 + 1588*T1^4*T2^10 - 3902*T1^5*T2^10 - 
     508*T1^6*T2^10 + 6653*T1^7*T2^10 - 9617*T1^8*T2^10 + 2179*T1^9*T2^10 + 
     15811*T1^10*T2^10 - 10823*T1^11*T2^10 + 4350*T1^12*T2^10 + 
     1848*T1^13*T2^10 - 3388*T1^14*T2^10 + 246*T1^15*T2^10 + 92*T1^16*T2^10 + 
     41*T1^3*T2^11 - 327*T1^4*T2^11 - 39*T1^5*T2^11 + 4052*T1^6*T2^11 - 
     5557*T1^7*T2^11 + 2482*T1^8*T2^11 + 3952*T1^9*T2^11 - 
     10823*T1^10*T2^11 - 772*T1^11*T2^11 + 6163*T1^12*T2^11 - 
     7208*T1^13*T2^11 + 4095*T1^14*T2^11 + 89*T1^15*T2^11 - 164*T1^16*T2^11 + 
     329*T1^5*T2^12 - 1544*T1^6*T2^12 - 33*T1^7*T2^12 + 3328*T1^8*T2^12 - 
     5473*T1^9*T2^12 + 4350*T1^10*T2^12 + 6163*T1^11*T2^12 - 
     8120*T1^12*T2^12 + 6035*T1^13*T2^12 - 2100*T1^14*T2^12 - 
     647*T1^15*T2^12 + 204*T1^16*T2^12 - 41*T1^5*T2^13 - 42*T1^6*T2^13 + 
     1449*T1^7*T2^13 - 2495*T1^8*T2^13 + 1516*T1^9*T2^13 + 1848*T1^10*T2^13 - 
     7208*T1^11*T2^13 + 6035*T1^12*T2^13 - 3033*T1^13*T2^13 + 
     276*T1^14*T2^13 + 758*T1^15*T2^13 - 164*T1^16*T2^13 + 46*T1^6*T2^14 - 
     175*T1^7*T2^14 - 391*T1^8*T2^14 + 1794*T1^9*T2^14 - 3388*T1^10*T2^14 + 
     4095*T1^11*T2^14 - 2100*T1^12*T2^14 + 276*T1^13*T2^14 + 
     621*T1^14*T2^14 - 543*T1^15*T2^14 + 92*T1^16*T2^14 - 24*T1^7*T2^15 + 
     160*T1^8*T2^15 - 295*T1^9*T2^15 + 246*T1^10*T2^15 + 89*T1^11*T2^15 - 
     647*T1^12*T2^15 + 758*T1^13*T2^15 - 543*T1^14*T2^15 + 232*T1^15*T2^15 - 
     32*T1^16*T2^15 + 4*T1^8*T2^16 - 32*T1^9*T2^16 + 92*T1^10*T2^16 - 
     164*T1^11*T2^16 + 204*T1^12*T2^16 - 164*T1^13*T2^16 + 92*T1^14*T2^16 - 
     32*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1151] -> 
  {(2 - 14*T + 32*T^2 - 39*T^3 + 32*T^4 - 14*T^5 + 2*T^6)/T^3, 
   (-17 + 120*T1 - 276*T1^2 + 337*T1^3 - 276*T1^4 + 120*T1^5 - 17*T1^6 + 
     120*T2 - 784*T1*T2 + 1499*T1^2*T2 - 1331*T1^3*T2 + 657*T1^4*T2 + 
     211*T1^5*T2 - 336*T1^6*T2 + 64*T1^7*T2 - 276*T2^2 + 1499*T1*T2^2 - 
     1241*T1^2*T2^2 - 1989*T1^3*T2^2 + 4467*T1^4*T2^2 - 5189*T1^5*T2^2 + 
     2599*T1^6*T2^2 - 293*T1^7*T2^2 - 20*T1^8*T2^2 + 337*T2^3 - 
     1331*T1*T2^3 - 1989*T1^2*T2^3 + 9498*T1^3*T2^3 - 11809*T1^4*T2^3 + 
     9235*T1^5*T2^3 - 1516*T1^6*T2^3 - 2309*T1^7*T2^3 + 1049*T1^8*T2^3 - 
     131*T1^9*T2^3 - 276*T2^4 + 657*T1*T2^4 + 4467*T1^2*T2^4 - 
     11809*T1^3*T2^4 + 8488*T1^4*T2^4 + 392*T1^5*T2^4 - 11132*T1^6*T2^4 + 
     10967*T1^7*T2^4 - 2629*T1^8*T2^4 - 743*T1^9*T2^4 + 236*T1^10*T2^4 + 
     120*T2^5 + 211*T1*T2^5 - 5189*T1^2*T2^5 + 9235*T1^3*T2^5 + 
     392*T1^4*T2^5 - 12126*T1^5*T2^5 + 16898*T1^6*T2^5 - 6392*T1^7*T2^5 - 
     8345*T1^8*T2^5 + 6651*T1^9*T2^5 - 517*T1^10*T2^5 - 160*T1^11*T2^5 - 
     17*T2^6 - 336*T1*T2^6 + 2599*T1^2*T2^6 - 1516*T1^3*T2^6 - 
     11132*T1^4*T2^6 + 16898*T1^5*T2^6 - 6336*T1^6*T2^6 - 11118*T1^7*T2^6 + 
     20500*T1^8*T2^6 - 6036*T1^9*T2^6 - 3513*T1^10*T2^6 + 896*T1^11*T2^6 + 
     31*T1^12*T2^6 + 64*T1*T2^7 - 293*T1^2*T2^7 - 2309*T1^3*T2^7 + 
     10967*T1^4*T2^7 - 6392*T1^5*T2^7 - 11118*T1^6*T2^7 + 17906*T1^7*T2^7 - 
     13176*T1^8*T2^7 - 6613*T1^9*T2^7 + 9531*T1^10*T2^7 - 1021*T1^11*T2^7 - 
     216*T1^12*T2^7 - 20*T1^2*T2^8 + 1049*T1^3*T2^8 - 2629*T1^4*T2^8 - 
     8345*T1^5*T2^8 + 20500*T1^6*T2^8 - 13176*T1^7*T2^8 + 880*T1^8*T2^8 + 
     14431*T1^9*T2^8 - 9725*T1^10*T2^8 - 351*T1^11*T2^8 + 492*T1^12*T2^8 - 
     131*T1^3*T2^9 - 743*T1^4*T2^9 + 6651*T1^5*T2^9 - 6036*T1^6*T2^9 - 
     6613*T1^7*T2^9 + 14431*T1^8*T2^9 - 17050*T1^9*T2^9 + 6331*T1^10*T2^9 + 
     1637*T1^11*T2^9 - 599*T1^12*T2^9 + 236*T1^4*T2^10 - 517*T1^5*T2^10 - 
     3513*T1^6*T2^10 + 9531*T1^7*T2^10 - 9725*T1^8*T2^10 + 6331*T1^9*T2^10 + 
     327*T1^10*T2^10 - 2309*T1^11*T2^10 + 492*T1^12*T2^10 - 160*T1^5*T2^11 + 
     896*T1^6*T2^11 - 1021*T1^7*T2^11 - 351*T1^8*T2^11 + 1637*T1^9*T2^11 - 
     2309*T1^10*T2^11 + 1344*T1^11*T2^11 - 216*T1^12*T2^11 + 31*T1^6*T2^12 - 
     216*T1^7*T2^12 + 492*T1^8*T2^12 - 599*T1^9*T2^12 + 492*T1^10*T2^12 - 
     216*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1152] -> 
  {((1 - 3*T + T^2)^2*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4, 
   ((1 - 3*T1 + T1^2)^2*(1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4)*(1 + T1*T2)*
     (1 - 3*T2 + T2^2)^2*(1 - 3*T1*T2 + T1^2*T2^2)*(1 - 3*T2 + 5*T2^2 - 
      3*T2^3 + T2^4)*(4 - 15*T1*T2 + 23*T1^2*T2^2 - 15*T1^3*T2^3 + 
      4*T1^4*T2^4))/(T1^9*T2^8)}, Knot[12, Alternating, 1153] -> 
  {(1 - 8*T + 20*T^2 - 26*T^3 + 27*T^4 - 26*T^5 + 20*T^6 - 8*T^7 + T^8)/T^4, 
   (-6 + 48*T1 - 120*T1^2 + 156*T1^3 - 162*T1^4 + 156*T1^5 - 120*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 639*T1^2*T2 - 447*T1^3*T2 + 
     256*T1^4*T2 - 168*T1^5*T2 - 79*T1^6*T2 + 415*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 120*T2^2 + 639*T1*T2^2 + 78*T1^2*T2^2 - 2611*T1^3*T2^2 + 
     3438*T1^4*T2^2 - 3402*T1^5*T2^2 + 3718*T1^6*T2^2 - 3331*T1^7*T2^2 + 
     838*T1^8*T2^2 + 319*T1^9*T2^2 - 80*T1^10*T2^2 + 156*T2^3 - 447*T1*T2^3 - 
     2611*T1^2*T2^3 + 6822*T1^3*T2^3 - 4422*T1^4*T2^3 + 2494*T1^5*T2^3 - 
     2398*T1^6*T2^3 + 208*T1^7*T2^3 + 4448*T1^8*T2^3 - 2731*T1^9*T2^3 + 
     17*T1^10*T2^3 + 78*T1^11*T2^3 - 162*T2^4 + 256*T1*T2^4 + 
     3438*T1^2*T2^4 - 4422*T1^3*T2^4 - 4227*T1^4*T2^4 + 5950*T1^5*T2^4 - 
     4755*T1^6*T2^4 + 6918*T1^7*T2^4 - 8907*T1^8*T2^4 + 674*T1^9*T2^4 + 
     2270*T1^10*T2^4 - 192*T1^11*T2^4 - 54*T1^12*T2^4 + 156*T2^5 - 
     168*T1*T2^5 - 3402*T1^2*T2^5 + 2494*T1^3*T2^5 + 5950*T1^4*T2^5 - 
     2432*T1^5*T2^5 - 405*T1^6*T2^5 - 1797*T1^7*T2^5 + 2318*T1^8*T2^5 + 
     5376*T1^9*T2^5 - 2406*T1^10*T2^5 - 1338*T1^11*T2^5 + 224*T1^12*T2^5 + 
     26*T1^13*T2^5 - 120*T2^6 - 79*T1*T2^6 + 3718*T1^2*T2^6 - 
     2398*T1^3*T2^6 - 4755*T1^4*T2^6 - 405*T1^5*T2^6 + 973*T1^6*T2^6 + 
     3221*T1^7*T2^6 - 4163*T1^8*T2^6 - 1333*T1^9*T2^6 - 2627*T1^10*T2^6 + 
     2482*T1^11*T2^6 + 542*T1^12*T2^6 - 207*T1^13*T2^6 + 48*T2^7 + 
     415*T1*T2^7 - 3331*T1^2*T2^7 + 208*T1^3*T2^7 + 6918*T1^4*T2^7 - 
     1797*T1^5*T2^7 + 3221*T1^6*T2^7 - 7400*T1^7*T2^7 + 5258*T1^8*T2^7 + 
     1393*T1^9*T2^7 + 523*T1^10*T2^7 + 1324*T1^11*T2^7 - 2558*T1^12*T2^7 + 
     389*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 6*T2^8 - 272*T1*T2^8 + 
     838*T1^2*T2^8 + 4448*T1^3*T2^8 - 8907*T1^4*T2^8 + 2318*T1^5*T2^8 - 
     4163*T1^6*T2^8 + 5258*T1^7*T2^8 + 1560*T1^8*T2^8 - 6846*T1^9*T2^8 + 
     3277*T1^10*T2^8 - 3434*T1^11*T2^8 + 2509*T1^12*T2^8 + 472*T1^13*T2^8 - 
     474*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 40*T1*T2^9 + 
     319*T1^2*T2^9 - 2731*T1^3*T2^9 + 674*T1^4*T2^9 + 5376*T1^5*T2^9 - 
     1333*T1^6*T2^9 + 1393*T1^7*T2^9 - 6846*T1^8*T2^9 + 5812*T1^9*T2^9 - 
     435*T1^10*T2^9 + 987*T1^11*T2^9 - 218*T1^12*T2^9 - 2092*T1^13*T2^9 + 
     989*T1^14*T2^9 - 33*T1^15*T2^9 - 16*T1^16*T2^9 - 80*T1^2*T2^10 + 
     17*T1^3*T2^10 + 2270*T1^4*T2^10 - 2406*T1^5*T2^10 - 2627*T1^6*T2^10 + 
     523*T1^7*T2^10 + 3277*T1^8*T2^10 - 435*T1^9*T2^10 - 1859*T1^10*T2^10 - 
     405*T1^11*T2^10 - 499*T1^12*T2^10 + 2474*T1^13*T2^10 - 906*T1^14*T2^10 - 
     111*T1^15*T2^10 + 40*T1^16*T2^10 + 78*T1^3*T2^11 - 192*T1^4*T2^11 - 
     1338*T1^5*T2^11 + 2482*T1^6*T2^11 + 1324*T1^7*T2^11 - 3434*T1^8*T2^11 + 
     987*T1^9*T2^11 - 405*T1^10*T2^11 + 1316*T1^11*T2^11 + 750*T1^12*T2^11 - 
     2418*T1^13*T2^11 + 726*T1^14*T2^11 + 200*T1^15*T2^11 - 52*T1^16*T2^11 - 
     54*T1^4*T2^12 + 224*T1^5*T2^12 + 542*T1^6*T2^12 - 2558*T1^7*T2^12 + 
     2509*T1^8*T2^12 - 218*T1^9*T2^12 - 499*T1^10*T2^12 + 750*T1^11*T2^12 - 
     2171*T1^12*T2^12 + 2538*T1^13*T2^12 - 626*T1^14*T2^12 - 
     224*T1^15*T2^12 + 54*T1^16*T2^12 + 26*T1^5*T2^13 - 207*T1^6*T2^13 + 
     389*T1^7*T2^13 + 472*T1^8*T2^13 - 2092*T1^9*T2^13 + 2474*T1^10*T2^13 - 
     2418*T1^11*T2^13 + 2538*T1^12*T2^13 - 1902*T1^13*T2^13 + 
     269*T1^14*T2^13 + 257*T1^15*T2^13 - 52*T1^16*T2^13 + 63*T1^7*T2^14 - 
     474*T1^8*T2^14 + 989*T1^9*T2^14 - 906*T1^10*T2^14 + 726*T1^11*T2^14 - 
     626*T1^12*T2^14 + 269*T1^13*T2^14 + 286*T1^14*T2^14 - 257*T1^15*T2^14 + 
     40*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 33*T1^9*T2^15 - 
     111*T1^10*T2^15 + 200*T1^11*T2^15 - 224*T1^12*T2^15 + 257*T1^13*T2^15 - 
     257*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 40*T1^10*T2^16 - 52*T1^11*T2^16 + 54*T1^12*T2^16 - 
     52*T1^13*T2^16 + 40*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1154] -> 
  {(2 - 17*T + 47*T^2 - 63*T^3 + 47*T^4 - 17*T^5 + 2*T^6)/T^3, 
   (-33 + 280*T1 - 772*T1^2 + 1033*T1^3 - 772*T1^4 + 280*T1^5 - 33*T1^6 + 
     280*T2 - 2164*T1*T2 + 4746*T1^2*T2 - 3806*T1^3*T2 - 66*T1^4*T2 + 
     2570*T1^5*T2 - 1518*T1^6*T2 + 212*T1^7*T2 - 772*T2^2 + 4746*T1*T2^2 - 
     3231*T1^2*T2^2 - 14196*T1^3*T2^2 + 28401*T1^4*T2^2 - 22844*T1^5*T2^2 + 
     5229*T1^6*T2^2 + 1550*T1^7*T2^2 - 396*T1^8*T2^2 + 1033*T2^3 - 
     3806*T1*T2^3 - 14196*T1^2*T2^3 + 54105*T1^3*T2^3 - 54056*T1^4*T2^3 + 
     9642*T1^5*T2^3 + 27539*T1^6*T2^3 - 16781*T1^7*T2^3 + 1022*T1^8*T2^3 + 
     277*T1^9*T2^3 - 772*T2^4 - 66*T1*T2^4 + 28401*T1^2*T2^4 - 
     54056*T1^3*T2^4 - 4046*T1^4*T2^4 + 81044*T1^5*T2^4 - 85658*T1^6*T2^4 + 
     18646*T1^7*T2^4 + 9659*T1^8*T2^4 - 2174*T1^9*T2^4 - 20*T1^10*T2^4 + 
     280*T2^5 + 2570*T1*T2^5 - 22844*T1^2*T2^5 + 9642*T1^3*T2^5 + 
     81044*T1^4*T2^5 - 121662*T1^5*T2^5 + 53870*T1^6*T2^5 + 39355*T1^7*T2^5 - 
     36048*T1^8*T2^5 + 3993*T1^9*T2^5 + 666*T1^10*T2^5 - 60*T1^11*T2^5 - 
     33*T2^6 - 1518*T1*T2^6 + 5229*T1^2*T2^6 + 27539*T1^3*T2^6 - 
     85658*T1^4*T2^6 + 53870*T1^5*T2^6 + 47604*T1^6*T2^6 - 97746*T1^7*T2^6 + 
     41452*T1^8*T2^6 + 5253*T1^9*T2^6 - 4459*T1^10*T2^6 + 386*T1^11*T2^6 + 
     15*T1^12*T2^6 + 212*T1*T2^7 + 1550*T1^2*T2^7 - 16781*T1^3*T2^7 + 
     18646*T1^4*T2^7 + 39355*T1^5*T2^7 - 97746*T1^6*T2^7 + 77786*T1^7*T2^7 - 
     2334*T1^8*T2^7 - 27044*T1^9*T2^7 + 10056*T1^10*T2^7 - 354*T1^11*T2^7 - 
     128*T1^12*T2^7 - 396*T1^2*T2^8 + 1022*T1^3*T2^8 + 9659*T1^4*T2^8 - 
     36048*T1^5*T2^8 + 41452*T1^6*T2^8 - 2334*T1^7*T2^8 - 40160*T1^8*T2^8 + 
     36654*T1^9*T2^8 - 9083*T1^10*T2^8 - 1086*T1^11*T2^8 + 356*T1^12*T2^8 + 
     277*T1^3*T2^9 - 2174*T1^4*T2^9 + 3993*T1^5*T2^9 + 5253*T1^6*T2^9 - 
     27044*T1^7*T2^9 + 36654*T1^8*T2^9 - 21313*T1^9*T2^9 + 1408*T1^10*T2^9 + 
     2654*T1^11*T2^9 - 479*T1^12*T2^9 - 20*T1^4*T2^10 + 666*T1^5*T2^10 - 
     4459*T1^6*T2^10 + 10056*T1^7*T2^10 - 9083*T1^8*T2^10 + 1408*T1^9*T2^10 + 
     4001*T1^10*T2^10 - 2530*T1^11*T2^10 + 356*T1^12*T2^10 - 60*T1^5*T2^11 + 
     386*T1^6*T2^11 - 354*T1^7*T2^11 - 1086*T1^8*T2^11 + 2654*T1^9*T2^11 - 
     2530*T1^10*T2^11 + 1032*T1^11*T2^11 - 128*T1^12*T2^11 + 15*T1^6*T2^12 - 
     128*T1^7*T2^12 + 356*T1^8*T2^12 - 479*T1^9*T2^12 + 356*T1^10*T2^12 - 
     128*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1155] -> 
  {-(((1 - T + T^2)*(5 - 23*T + 35*T^2 - 23*T^3 + 5*T^4))/T^3), 
   -((-645 + 3585*T1 - 8010*T1^2 + 10277*T1^3 - 8010*T1^4 + 3585*T1^5 - 
      645*T1^6 + 3585*T2 - 17064*T1*T2 + 28599*T1^2*T2 - 21474*T1^3*T2 - 
      1314*T1^4*T2 + 15859*T1^5*T2 - 12444*T1^6*T2 + 2885*T1^7*T2 - 
      8010*T2^2 + 28599*T1*T2^2 - 15857*T1^2*T2^2 - 43587*T1^3*T2^2 + 
      95081*T1^4*T2^2 - 76977*T1^5*T2^2 + 20683*T1^6*T2^2 + 10959*T1^7*T2^2 - 
      4860*T1^8*T2^2 + 10277*T2^3 - 21474*T1*T2^3 - 43587*T1^2*T2^3 + 
      135397*T1^3*T2^3 - 132630*T1^4*T2^3 + 10821*T1^5*T2^3 + 
      79363*T1^6*T2^3 - 61920*T1^7*T2^3 + 3726*T1^8*T2^3 + 4202*T1^9*T2^3 - 
      8010*T2^4 - 1314*T1*T2^4 + 95081*T1^2*T2^4 - 132630*T1^3*T2^4 + 
      11405*T1^4*T2^4 + 159041*T1^5*T2^4 - 155923*T1^6*T2^4 + 
      28398*T1^7*T2^4 + 47453*T1^8*T2^4 - 13914*T1^9*T2^4 - 1710*T1^10*T2^4 + 
      3585*T2^5 + 15859*T1*T2^5 - 76977*T1^2*T2^5 + 10821*T1^3*T2^5 + 
      159041*T1^4*T2^5 - 221219*T1^5*T2^5 + 55141*T1^6*T2^5 + 
      105680*T1^7*T2^5 - 97476*T1^8*T2^5 + 1584*T1^9*T2^5 + 8999*T1^10*T2^5 + 
      85*T1^11*T2^5 - 645*T2^6 - 12444*T1*T2^6 + 20683*T1^2*T2^6 + 
      79363*T1^3*T2^6 - 155923*T1^4*T2^6 + 55141*T1^5*T2^6 + 
      149820*T1^6*T2^6 - 187885*T1^7*T2^6 + 59915*T1^8*T2^6 + 
      42517*T1^9*T2^6 - 17985*T1^10*T2^6 - 964*T1^11*T2^6 + 105*T1^12*T2^6 + 
      2885*T1*T2^7 + 10959*T1^2*T2^7 - 61920*T1^3*T2^7 + 28398*T1^4*T2^7 + 
      105680*T1^5*T2^7 - 187885*T1^6*T2^7 + 88475*T1^7*T2^7 + 
      52319*T1^8*T2^7 - 79899*T1^9*T2^7 + 16641*T1^10*T2^7 + 
      4099*T1^11*T2^7 - 615*T1^12*T2^7 - 4860*T1^2*T2^8 + 3726*T1^3*T2^8 + 
      47453*T1^4*T2^8 - 97476*T1^5*T2^8 + 59915*T1^6*T2^8 + 52319*T1^7*T2^8 - 
      107413*T1^8*T2^8 + 63552*T1^9*T2^8 - 175*T1^10*T2^8 - 8874*T1^11*T2^8 + 
      1440*T1^12*T2^8 + 4202*T1^3*T2^9 - 13914*T1^4*T2^9 + 1584*T1^5*T2^9 + 
      42517*T1^6*T2^9 - 79899*T1^7*T2^9 + 63552*T1^8*T2^9 - 13517*T1^9*T2^9 - 
      16749*T1^10*T2^9 + 11286*T1^11*T2^9 - 1873*T1^12*T2^9 - 
      1710*T1^4*T2^10 + 8999*T1^5*T2^10 - 17985*T1^6*T2^10 + 
      16641*T1^7*T2^10 - 175*T1^8*T2^10 - 16749*T1^9*T2^10 + 
      18555*T1^10*T2^10 - 8641*T1^11*T2^10 + 1440*T1^12*T2^10 + 
      85*T1^5*T2^11 - 964*T1^6*T2^11 + 4099*T1^7*T2^11 - 8874*T1^8*T2^11 + 
      11286*T1^9*T2^11 - 8641*T1^10*T2^11 + 3656*T1^11*T2^11 - 
      615*T1^12*T2^11 + 105*T1^6*T2^12 - 615*T1^7*T2^12 + 1440*T1^8*T2^12 - 
      1873*T1^9*T2^12 + 1440*T1^10*T2^12 - 615*T1^11*T2^12 + 105*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1156] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6))/T^4, 
   (-6 + 48*T1 - 150*T1^2 + 258*T1^3 - 306*T1^4 + 258*T1^5 - 150*T1^6 + 
     48*T1^7 - 6*T1^8 + 48*T2 - 344*T1*T2 + 879*T1^2*T2 - 1061*T1^3*T2 + 
     726*T1^4*T2 - 26*T1^5*T2 - 517*T1^6*T2 + 615*T1^7*T2 - 272*T1^8*T2 + 
     40*T1^9*T2 - 150*T2^2 + 879*T1*T2^2 - 1295*T1^2*T2^2 - 702*T1^3*T2^2 + 
     3495*T1^4*T2^2 - 5413*T1^5*T2^2 + 4795*T1^6*T2^2 - 2452*T1^7*T2^2 - 
     95*T1^8*T2^2 + 479*T1^9*T2^2 - 100*T1^10*T2^2 + 258*T2^3 - 
     1061*T1*T2^3 - 702*T1^2*T2^3 + 7421*T1^3*T2^3 - 10628*T1^4*T2^3 + 
     8590*T1^5*T2^3 - 1438*T1^6*T2^3 - 4639*T1^7*T2^3 + 6497*T1^8*T2^3 - 
     2127*T1^9*T2^3 - 229*T1^10*T2^3 + 129*T1^11*T2^3 - 306*T2^4 + 
     726*T1*T2^4 + 3495*T1^2*T2^4 - 10628*T1^3*T2^4 + 4239*T1^4*T2^4 + 
     7517*T1^5*T2^4 - 18649*T1^6*T2^4 + 18265*T1^7*T2^4 - 9641*T1^8*T2^4 - 
     2888*T1^9*T2^4 + 3091*T1^10*T2^4 - 218*T1^11*T2^4 - 102*T1^12*T2^4 + 
     258*T2^5 - 26*T1*T2^5 - 5413*T1^2*T2^5 + 8590*T1^3*T2^5 + 
     7517*T1^4*T2^5 - 18272*T1^5*T2^5 + 19455*T1^6*T2^5 - 5458*T1^7*T2^5 - 
     7928*T1^8*T2^5 + 14933*T1^9*T2^5 - 3090*T1^10*T2^5 - 2071*T1^11*T2^5 + 
     470*T1^12*T2^5 + 43*T1^13*T2^5 - 150*T2^6 - 517*T1*T2^6 + 
     4795*T1^2*T2^6 - 1438*T1^3*T2^6 - 18649*T1^4*T2^6 + 19455*T1^5*T2^6 - 
     9158*T1^6*T2^6 - 8308*T1^7*T2^6 + 12582*T1^8*T2^6 - 7445*T1^9*T2^6 - 
     8967*T1^10*T2^6 + 6112*T1^11*T2^6 + 87*T1^12*T2^6 - 341*T1^13*T2^6 + 
     48*T2^7 + 615*T1*T2^7 - 2452*T1^2*T2^7 - 4639*T1^3*T2^7 + 
     18265*T1^4*T2^7 - 5458*T1^5*T2^7 - 8308*T1^6*T2^7 + 14934*T1^7*T2^7 - 
     4404*T1^8*T2^7 - 6859*T1^9*T2^7 + 15481*T1^10*T2^7 - 2479*T1^11*T2^7 - 
     3624*T1^12*T2^7 + 923*T1^13*T2^7 + 63*T1^14*T2^7 - 8*T1^15*T2^7 - 
     6*T2^8 - 272*T1*T2^8 - 95*T1^2*T2^8 + 6497*T1^3*T2^8 - 9641*T1^4*T2^8 - 
     7928*T1^5*T2^8 + 12582*T1^6*T2^8 - 4404*T1^7*T2^8 - 10032*T1^8*T2^8 + 
     13396*T1^9*T2^8 - 8160*T1^10*T2^8 - 7436*T1^11*T2^8 + 7171*T1^12*T2^8 - 
     549*T1^13*T2^8 - 467*T1^14*T2^8 + 48*T1^15*T2^8 + 2*T1^16*T2^8 + 
     40*T1*T2^9 + 479*T1^2*T2^9 - 2127*T1^3*T2^9 - 2888*T1^4*T2^9 + 
     14933*T1^5*T2^9 - 7445*T1^6*T2^9 - 6859*T1^7*T2^9 + 13396*T1^8*T2^9 - 
     5942*T1^9*T2^9 - 5410*T1^10*T2^9 + 13494*T1^11*T2^9 - 5811*T1^12*T2^9 - 
     1873*T1^13*T2^9 + 1248*T1^14*T2^9 - 73*T1^15*T2^9 - 16*T1^16*T2^9 - 
     100*T1^2*T2^10 - 229*T1^3*T2^10 + 3091*T1^4*T2^10 - 3090*T1^5*T2^10 - 
     8967*T1^6*T2^10 + 15481*T1^7*T2^10 - 8160*T1^8*T2^10 - 5410*T1^9*T2^10 + 
     13580*T1^10*T2^10 - 11419*T1^11*T2^10 + 715*T1^12*T2^10 + 
     4460*T1^13*T2^10 - 1617*T1^14*T2^10 - 53*T1^15*T2^10 + 50*T1^16*T2^10 + 
     129*T1^3*T2^11 - 218*T1^4*T2^11 - 2071*T1^5*T2^11 + 6112*T1^6*T2^11 - 
     2479*T1^7*T2^11 - 7436*T1^8*T2^11 + 13494*T1^9*T2^11 - 
     11419*T1^10*T2^11 + 2908*T1^11*T2^11 + 4937*T1^12*T2^11 - 
     5568*T1^13*T2^11 + 1271*T1^14*T2^11 + 278*T1^15*T2^11 - 86*T1^16*T2^11 - 
     102*T1^4*T2^12 + 470*T1^5*T2^12 + 87*T1^6*T2^12 - 3624*T1^7*T2^12 + 
     7171*T1^8*T2^12 - 5811*T1^9*T2^12 + 715*T1^10*T2^12 + 4937*T1^11*T2^12 - 
     6709*T1^12*T2^12 + 4116*T1^13*T2^12 - 317*T1^14*T2^12 - 
     474*T1^15*T2^12 + 102*T1^16*T2^12 + 43*T1^5*T2^13 - 341*T1^6*T2^13 + 
     923*T1^7*T2^13 - 549*T1^8*T2^13 - 1873*T1^9*T2^13 + 4460*T1^10*T2^13 - 
     5568*T1^11*T2^13 + 4116*T1^12*T2^13 - 1473*T1^13*T2^13 - 
     502*T1^14*T2^13 + 491*T1^15*T2^13 - 86*T1^16*T2^13 + 63*T1^7*T2^14 - 
     467*T1^8*T2^14 + 1248*T1^9*T2^14 - 1617*T1^10*T2^14 + 1271*T1^11*T2^14 - 
     317*T1^12*T2^14 - 502*T1^13*T2^14 + 733*T1^14*T2^14 - 337*T1^15*T2^14 + 
     50*T1^16*T2^14 - 8*T1^7*T2^15 + 48*T1^8*T2^15 - 73*T1^9*T2^15 - 
     53*T1^10*T2^15 + 278*T1^11*T2^15 - 474*T1^12*T2^15 + 491*T1^13*T2^15 - 
     337*T1^14*T2^15 + 120*T1^15*T2^15 - 16*T1^16*T2^15 + 2*T1^8*T2^16 - 
     16*T1^9*T2^16 + 50*T1^10*T2^16 - 86*T1^11*T2^16 + 102*T1^12*T2^16 - 
     86*T1^13*T2^16 + 50*T1^14*T2^16 - 16*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1157] -> 
  {-((2 - 5*T + 5*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 5*T^6 - 5*T^7 + 2*T^8)/T^4), 
   -((-55 + 137*T1 - 137*T1^2 + 137*T1^3 - 137*T1^4 + 137*T1^5 - 137*T1^6 + 
      137*T1^7 - 55*T1^8 + 137*T2 - 224*T1*T2 + 50*T1^2*T2 - 50*T1^3*T2 + 
      50*T1^4*T2 - 50*T1^5*T2 + 50*T1^6*T2 - 50*T1^7*T2 - 154*T1^8*T2 + 
      117*T1^9*T2 - 137*T2^2 + 50*T1*T2^2 + 292*T1^2*T2^2 - 160*T1^3*T2^2 + 
      160*T1^4*T2^2 - 160*T1^5*T2^2 + 160*T1^6*T2^2 - 160*T1^7*T2^2 + 
      352*T1^8*T2^2 - 50*T1^9*T2^2 - 97*T1^10*T2^2 + 137*T2^3 - 50*T1*T2^3 - 
      160*T1^2*T2^3 - 109*T1^3*T2^3 + 25*T1^4*T2^3 - 25*T1^5*T2^3 + 
      25*T1^6*T2^3 - 25*T1^7*T2^3 - 149*T1^8*T2^3 - 135*T1^9*T2^3 + 
      50*T1^10*T2^3 + 77*T1^11*T2^3 - 137*T2^4 + 50*T1*T2^4 + 160*T1^2*T2^4 + 
      25*T1^3*T2^4 + 152*T1^4*T2^4 - 110*T1^5*T2^4 + 110*T1^6*T2^4 - 
      110*T1^7*T2^4 + 272*T1^8*T2^4 - 25*T1^9*T2^4 + 110*T1^10*T2^4 - 
      50*T1^11*T2^4 - 57*T1^12*T2^4 + 137*T2^5 - 50*T1*T2^5 - 160*T1^2*T2^5 - 
      25*T1^3*T2^5 - 110*T1^4*T2^5 + 6*T1^5*T2^5 - 144*T1^8*T2^5 - 
      85*T1^9*T2^5 + 25*T1^10*T2^5 - 85*T1^11*T2^5 + 50*T1^12*T2^5 + 
      37*T1^13*T2^5 - 137*T2^6 + 50*T1*T2^6 + 160*T1^2*T2^6 + 25*T1^3*T2^6 + 
      110*T1^4*T2^6 + 12*T1^6*T2^6 - 60*T1^7*T2^6 + 192*T1^8*T2^6 + 
      60*T1^10*T2^6 - 25*T1^11*T2^6 + 60*T1^12*T2^6 - 50*T1^13*T2^6 - 
      17*T1^14*T2^6 + 137*T2^7 - 50*T1*T2^7 - 160*T1^2*T2^7 - 25*T1^3*T2^7 - 
      110*T1^4*T2^7 - 60*T1^6*T2^7 + 121*T1^7*T2^7 - 139*T1^8*T2^7 - 
      35*T1^9*T2^7 - 35*T1^11*T2^7 + 25*T1^12*T2^7 - 35*T1^13*T2^7 + 
      50*T1^14*T2^7 - 3*T1^15*T2^7 - 55*T2^8 - 154*T1*T2^8 + 352*T1^2*T2^8 - 
      149*T1^3*T2^8 + 272*T1^4*T2^8 - 144*T1^5*T2^8 + 192*T1^6*T2^8 - 
      139*T1^7*T2^8 - 24*T1^8*T2^8 + 151*T1^9*T2^8 - 98*T1^10*T2^8 + 
      96*T1^11*T2^8 - 68*T1^12*T2^8 + 41*T1^13*T2^8 - 38*T1^14*T2^8 - 
      14*T1^15*T2^8 + 9*T1^16*T2^8 + 117*T1*T2^9 - 50*T1^2*T2^9 - 
      135*T1^3*T2^9 - 25*T1^4*T2^9 - 85*T1^5*T2^9 - 35*T1^7*T2^9 + 
      151*T1^8*T2^9 - 109*T1^9*T2^9 - 10*T1^10*T2^9 - 10*T1^12*T2^9 + 
      25*T1^13*T2^9 - 10*T1^14*T2^9 + 50*T1^15*T2^9 - 23*T1^16*T2^9 - 
      97*T1^2*T2^10 + 50*T1^3*T2^10 + 110*T1^4*T2^10 + 25*T1^5*T2^10 + 
      60*T1^6*T2^10 - 98*T1^8*T2^10 - 10*T1^9*T2^10 + 82*T1^10*T2^10 + 
      10*T1^12*T2^10 - 25*T1^13*T2^10 + 10*T1^14*T2^10 - 50*T1^15*T2^10 + 
      23*T1^16*T2^10 + 77*T1^3*T2^11 - 50*T1^4*T2^11 - 85*T1^5*T2^11 - 
      25*T1^6*T2^11 - 35*T1^7*T2^11 + 96*T1^8*T2^11 - 54*T1^11*T2^11 - 
      10*T1^12*T2^11 + 25*T1^13*T2^11 - 10*T1^14*T2^11 + 50*T1^15*T2^11 - 
      23*T1^16*T2^11 - 57*T1^4*T2^12 + 50*T1^5*T2^12 + 60*T1^6*T2^12 + 
      25*T1^7*T2^12 - 68*T1^8*T2^12 - 10*T1^9*T2^12 + 10*T1^10*T2^12 - 
      10*T1^11*T2^12 + 52*T1^12*T2^12 - 25*T1^13*T2^12 + 10*T1^14*T2^12 - 
      50*T1^15*T2^12 + 23*T1^16*T2^12 + 37*T1^5*T2^13 - 50*T1^6*T2^13 - 
      35*T1^7*T2^13 + 41*T1^8*T2^13 + 25*T1^9*T2^13 - 25*T1^10*T2^13 + 
      25*T1^11*T2^13 - 25*T1^12*T2^13 + T1^13*T2^13 - 10*T1^14*T2^13 + 
      50*T1^15*T2^13 - 23*T1^16*T2^13 - 17*T1^6*T2^14 + 50*T1^7*T2^14 - 
      38*T1^8*T2^14 - 10*T1^9*T2^14 + 10*T1^10*T2^14 - 10*T1^11*T2^14 + 
      10*T1^12*T2^14 - 10*T1^13*T2^14 + 22*T1^14*T2^14 - 50*T1^15*T2^14 + 
      23*T1^16*T2^14 - 3*T1^7*T2^15 - 14*T1^8*T2^15 + 50*T1^9*T2^15 - 
      50*T1^10*T2^15 + 50*T1^11*T2^15 - 50*T1^12*T2^15 + 50*T1^13*T2^15 - 
      50*T1^14*T2^15 + 56*T1^15*T2^15 - 23*T1^16*T2^15 + 9*T1^8*T2^16 - 
      23*T1^9*T2^16 + 23*T1^10*T2^16 - 23*T1^11*T2^16 + 23*T1^12*T2^16 - 
      23*T1^13*T2^16 + 23*T1^14*T2^16 - 23*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1158] -> 
  {-(((2 - 3*T + 2*T^2)*(2 - 3*T + T^2 - 3*T^3 + 2*T^4))/T^3), 
   -((-320 + 952*T1 - 1184*T1^2 + 1184*T1^3 - 1184*T1^4 + 952*T1^5 - 
      320*T1^6 + 952*T2 - 2072*T1*T2 + 1268*T1^2*T2 - 720*T1^3*T2 + 
      720*T1^4*T2 - 28*T1^5*T2 - 1304*T1^6*T2 + 760*T1^7*T2 - 1184*T2^2 + 
      1268*T1*T2^2 + 1658*T1^2*T2^2 - 2032*T1^3*T2^2 + 1576*T1^4*T2^2 - 
      2392*T1^5*T2^2 + 2978*T1^6*T2^2 - 172*T1^7*T2^2 - 704*T1^8*T2^2 + 
      1184*T2^3 - 720*T1*T2^3 - 2032*T1^2*T2^3 + 648*T1^3*T2^3 + 
      180*T1^4*T2^3 + 720*T1^5*T2^3 - 792*T1^6*T2^3 - 1852*T1^7*T2^3 + 
      720*T1^8*T2^3 + 464*T1^9*T2^3 - 1184*T2^4 + 720*T1*T2^4 + 
      1576*T1^2*T2^4 + 180*T1^3*T2^4 - 298*T1^4*T2^4 - 1042*T1^5*T2^4 + 
      1262*T1^6*T2^4 + 540*T1^7*T2^4 + 856*T1^8*T2^4 - 720*T1^9*T2^4 - 
      224*T1^10*T2^4 + 952*T2^5 - 28*T1*T2^5 - 2392*T1^2*T2^5 + 
      720*T1^3*T2^5 - 1042*T1^4*T2^5 + 2317*T1^5*T2^5 - 1673*T1^6*T2^5 - 
      457*T1^7*T2^5 - 180*T1^8*T2^5 - 412*T1^9*T2^5 + 692*T1^10*T2^5 - 
      8*T1^11*T2^5 - 320*T2^6 - 1304*T1*T2^6 + 2978*T1^2*T2^6 - 
      792*T1^3*T2^6 + 1262*T1^4*T2^6 - 1673*T1^5*T2^6 - 468*T1^6*T2^6 + 
      2161*T1^7*T2^6 - 988*T1^8*T2^6 + 1008*T1^9*T2^6 - 694*T1^10*T2^6 - 
      152*T1^11*T2^6 + 64*T1^12*T2^6 + 760*T1*T2^7 - 172*T1^2*T2^7 - 
      1852*T1^3*T2^7 + 540*T1^4*T2^7 - 457*T1^5*T2^7 + 2161*T1^6*T2^7 - 
      1829*T1^7*T2^7 + 128*T1^8*T2^7 - 360*T1^9*T2^7 + 128*T1^10*T2^7 + 
      548*T1^11*T2^7 - 200*T1^12*T2^7 - 704*T1^2*T2^8 + 720*T1^3*T2^8 + 
      856*T1^4*T2^8 - 180*T1^5*T2^8 - 988*T1^6*T2^8 + 128*T1^7*T2^8 + 
      572*T1^8*T2^8 + 180*T1^9*T2^8 + 136*T1^10*T2^8 - 720*T1^11*T2^8 + 
      256*T1^12*T2^8 + 464*T1^3*T2^9 - 720*T1^4*T2^9 - 412*T1^5*T2^9 + 
      1008*T1^6*T2^9 - 360*T1^7*T2^9 + 180*T1^8*T2^9 - 432*T1^9*T2^9 - 
      232*T1^10*T2^9 + 720*T1^11*T2^9 - 256*T1^12*T2^9 - 224*T1^4*T2^10 + 
      692*T1^5*T2^10 - 694*T1^6*T2^10 + 128*T1^7*T2^10 + 136*T1^8*T2^10 - 
      232*T1^9*T2^10 + 626*T1^10*T2^10 - 748*T1^11*T2^10 + 256*T1^12*T2^10 - 
      8*T1^5*T2^11 - 152*T1^6*T2^11 + 548*T1^7*T2^11 - 720*T1^8*T2^11 + 
      720*T1^9*T2^11 - 748*T1^10*T2^11 + 616*T1^11*T2^11 - 200*T1^12*T2^11 + 
      64*T1^6*T2^12 - 200*T1^7*T2^12 + 256*T1^8*T2^12 - 256*T1^9*T2^12 + 
      256*T1^10*T2^12 - 200*T1^11*T2^12 + 64*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1159] -> 
  {-((4 - 14*T + 24*T^2 - 29*T^3 + 24*T^4 - 14*T^5 + 4*T^6)/T^3), 
   -((-320 + 1108*T1 - 1884*T1^2 + 2272*T1^3 - 1884*T1^4 + 1108*T1^5 - 
      320*T1^6 + 1108*T2 - 2958*T1*T2 + 3488*T1^2*T2 - 2696*T1^3*T2 + 
      272*T1^4*T2 + 1360*T1^5*T2 - 1950*T1^6*T2 + 884*T1^7*T2 - 1884*T2^2 + 
      3488*T1*T2^2 - 1593*T1^2*T2^2 - 1025*T1^3*T2^2 + 4433*T1^4*T2^2 - 
      3905*T1^5*T2^2 + 2247*T1^6*T2^2 + 800*T1^7*T2^2 - 1116*T1^8*T2^2 + 
      2272*T2^3 - 2696*T1*T2^3 - 1025*T1^2*T2^3 + 2706*T1^3*T2^3 - 
      4204*T1^4*T2^3 + 380*T1^5*T2^3 + 1422*T1^6*T2^3 - 3329*T1^7*T2^3 + 
      832*T1^8*T2^3 + 880*T1^9*T2^3 - 1884*T2^4 + 272*T1*T2^4 + 
      4433*T1^2*T2^4 - 4204*T1^3*T2^4 + 3956*T1^4*T2^4 + 820*T1^5*T2^4 - 
      544*T1^6*T2^4 + 900*T1^7*T2^4 + 2281*T1^8*T2^4 - 1856*T1^9*T2^4 - 
      348*T1^10*T2^4 + 1108*T2^5 + 1360*T1*T2^5 - 3905*T1^2*T2^5 + 
      380*T1^3*T2^5 + 820*T1^4*T2^5 - 3534*T1^5*T2^5 + 90*T1^6*T2^5 + 
      916*T1^7*T2^5 - 3164*T1^8*T2^5 + 703*T1^9*T2^5 + 1248*T1^10*T2^5 - 
      12*T1^11*T2^5 - 320*T2^6 - 1950*T1*T2^6 + 2247*T1^2*T2^6 + 
      1422*T1^3*T2^6 - 544*T1^4*T2^6 + 90*T1^5*T2^6 + 3576*T1^6*T2^6 - 
      2854*T1^7*T2^6 + 2064*T1^8*T2^6 + 1326*T1^9*T2^6 - 1817*T1^10*T2^6 - 
      158*T1^11*T2^6 + 64*T1^12*T2^6 + 884*T1*T2^7 + 800*T1^2*T2^7 - 
      3329*T1^3*T2^7 + 900*T1^4*T2^7 + 916*T1^5*T2^7 - 2854*T1^6*T2^7 + 
      770*T1^7*T2^7 + 1012*T1^8*T2^7 - 2644*T1^9*T2^7 + 1279*T1^10*T2^7 + 
      688*T1^11*T2^7 - 236*T1^12*T2^7 - 1116*T1^2*T2^8 + 832*T1^3*T2^8 + 
      2281*T1^4*T2^8 - 3164*T1^5*T2^8 + 2064*T1^6*T2^8 + 1012*T1^7*T2^8 - 
      2436*T1^8*T2^8 + 1940*T1^9*T2^8 + 129*T1^10*T2^8 - 1296*T1^11*T2^8 + 
      420*T1^12*T2^8 + 880*T1^3*T2^9 - 1856*T1^4*T2^9 + 703*T1^5*T2^9 + 
      1326*T1^6*T2^9 - 2644*T1^7*T2^9 + 1940*T1^8*T2^9 + 42*T1^9*T2^9 - 
      1601*T1^10*T2^9 + 1672*T1^11*T2^9 - 512*T1^12*T2^9 - 348*T1^4*T2^10 + 
      1248*T1^5*T2^10 - 1817*T1^6*T2^10 + 1279*T1^7*T2^10 + 129*T1^8*T2^10 - 
      1601*T1^9*T2^10 + 2023*T1^10*T2^10 - 1440*T1^11*T2^10 + 
      420*T1^12*T2^10 - 12*T1^5*T2^11 - 158*T1^6*T2^11 + 688*T1^7*T2^11 - 
      1296*T1^8*T2^11 + 1672*T1^9*T2^11 - 1440*T1^10*T2^11 + 
      850*T1^11*T2^11 - 236*T1^12*T2^11 + 64*T1^6*T2^12 - 236*T1^7*T2^12 + 
      420*T1^8*T2^12 - 512*T1^9*T2^12 + 420*T1^10*T2^12 - 236*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1160] -> {-((8 - 28*T + 39*T^2 - 28*T^3 + 8*T^4)/T^2), 
   (-2*(-800 + 2752*T1 - 3800*T1^2 + 2752*T1^3 - 800*T1^4 + 2752*T2 - 
      7616*T1*T2 + 6752*T1^2*T2 - 752*T1^3*T2 - 3584*T1^4*T2 + 1856*T1^5*T2 - 
      3800*T2^2 + 6752*T1*T2^2 + 2305*T1^2*T2^2 - 12522*T1^3*T2^2 + 
      11977*T1^4*T2^2 - 1984*T1^5*T2^2 - 1304*T1^6*T2^2 + 2752*T2^3 - 
      752*T1*T2^3 - 12522*T1^2*T2^3 + 17372*T1^3*T2^3 - 7114*T1^4*T2^3 - 
      5970*T1^5*T2^3 + 4288*T1^6*T2^3 + 64*T1^7*T2^3 - 800*T2^4 - 
      3584*T1*T2^4 + 11977*T1^2*T2^4 - 7114*T1^3*T2^4 - 6990*T1^4*T2^4 + 
      13606*T1^5*T2^4 - 4983*T1^6*T2^4 - 896*T1^7*T2^4 + 224*T1^8*T2^4 + 
      1856*T1*T2^5 - 1984*T1^2*T2^5 - 5970*T1^3*T2^5 + 13606*T1^4*T2^5 - 
      10880*T1^5*T2^5 + 582*T1^6*T2^5 + 3056*T1^7*T2^5 - 832*T1^8*T2^5 - 
      1304*T1^2*T2^6 + 4288*T1^3*T2^6 - 4983*T1^4*T2^6 + 582*T1^5*T2^6 + 
      4689*T1^6*T2^6 - 4448*T1^7*T2^6 + 1192*T1^8*T2^6 + 64*T1^3*T2^7 - 
      896*T1^4*T2^7 + 3056*T1^5*T2^7 - 4448*T1^6*T2^7 + 3136*T1^7*T2^7 - 
      832*T1^8*T2^7 + 224*T1^4*T2^8 - 832*T1^5*T2^8 + 1192*T1^6*T2^8 - 
      832*T1^7*T2^8 + 224*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1161] -> 
  {-(((-3 + 2*T)*(-2 + 3*T)*(1 - T + T^2))/T^2), 
   -((-693 + 2165*T1 - 2825*T1^2 + 2165*T1^3 - 693*T1^4 + 2165*T2 - 
      5280*T1*T2 + 4230*T1^2*T2 - 786*T1^3*T2 - 2430*T1^4*T2 + 1481*T1^5*T2 - 
      2825*T2^2 + 4230*T1*T2^2 + 1879*T1^2*T2^2 - 6993*T1^3*T2^2 + 
      7579*T1^4*T2^2 - 1470*T1^5*T2^2 - 1025*T1^6*T2^2 + 2165*T2^3 - 
      786*T1*T2^3 - 6993*T1^2*T2^3 + 8473*T1^3*T2^3 - 3877*T1^4*T2^3 - 
      3668*T1^5*T2^3 + 2862*T1^6*T2^3 + 113*T1^7*T2^3 - 693*T2^4 - 
      2430*T1*T2^4 + 7579*T1^2*T2^4 - 3877*T1^3*T2^4 - 3204*T1^4*T2^4 + 
      7105*T1^5*T2^4 - 2539*T1^6*T2^4 - 834*T1^7*T2^4 + 171*T1^8*T2^4 + 
      1481*T1*T2^5 - 1470*T1^2*T2^5 - 3668*T1^3*T2^5 + 7105*T1^4*T2^5 - 
      5245*T1^5*T2^5 - 343*T1^6*T2^5 + 2178*T1^7*T2^5 - 571*T1^8*T2^5 - 
      1025*T1^2*T2^6 + 2862*T1^3*T2^6 - 2539*T1^4*T2^6 - 343*T1^5*T2^6 + 
      3161*T1^6*T2^6 - 2838*T1^7*T2^6 + 775*T1^8*T2^6 + 113*T1^3*T2^7 - 
      834*T1^4*T2^7 + 2178*T1^5*T2^7 - 2838*T1^6*T2^7 + 2016*T1^7*T2^7 - 
      571*T1^8*T2^7 + 171*T1^4*T2^8 - 571*T1^5*T2^8 + 775*T1^6*T2^8 - 
      571*T1^7*T2^8 + 171*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1162] -> 
  {-((4 - 11*T + 13*T^2 - 13*T^3 + 13*T^4 - 11*T^5 + 4*T^6)/T^3), 
   -((-320 + 876*T1 - 1032*T1^2 + 1032*T1^3 - 1032*T1^4 + 876*T1^5 - 
      320*T1^6 + 876*T2 - 1698*T1*T2 + 912*T1^2*T2 - 572*T1^3*T2 + 
      572*T1^4*T2 - 144*T1^5*T2 - 1038*T1^6*T2 + 700*T1^7*T2 - 1032*T2^2 + 
      912*T1*T2^2 + 1347*T1^2*T2^2 - 1325*T1^3*T2^2 + 1059*T1^4*T2^2 - 
      1533*T1^5*T2^2 + 2283*T1^6*T2^2 - 232*T1^7*T2^2 - 616*T1^8*T2^2 + 
      1032*T2^3 - 572*T1*T2^3 - 1325*T1^2*T2^3 + 59*T1^3*T2^3 + 
      275*T1^4*T2^3 + 249*T1^5*T2^3 - 721*T1^6*T2^3 - 1208*T1^7*T2^3 + 
      572*T1^8*T2^3 + 408*T1^9*T2^3 - 1032*T2^4 + 572*T1*T2^4 + 
      1059*T1^2*T2^4 + 275*T1^3*T2^4 - 4*T1^4*T2^4 - 792*T1^5*T2^4 + 
      1296*T1^6*T2^4 + 145*T1^7*T2^4 + 617*T1^8*T2^4 - 572*T1^9*T2^4 - 
      200*T1^10*T2^4 + 876*T2^5 - 144*T1*T2^5 - 1533*T1^2*T2^5 + 
      249*T1^3*T2^5 - 792*T1^4*T2^5 + 1424*T1^5*T2^5 - 1178*T1^6*T2^5 - 
      415*T1^7*T2^5 + 67*T1^8*T2^5 - 350*T1^9*T2^5 + 560*T1^10*T2^5 - 
      4*T1^11*T2^5 - 320*T2^6 - 1038*T1*T2^6 + 2283*T1^2*T2^6 - 
      721*T1^3*T2^6 + 1296*T1^4*T2^6 - 1178*T1^5*T2^6 - 228*T1^6*T2^6 + 
      1446*T1^7*T2^6 - 706*T1^8*T2^6 + 605*T1^9*T2^6 - 441*T1^10*T2^6 - 
      158*T1^11*T2^6 + 64*T1^12*T2^6 + 700*T1*T2^7 - 232*T1^2*T2^7 - 
      1208*T1^3*T2^7 + 145*T1^4*T2^7 - 415*T1^5*T2^7 + 1446*T1^6*T2^7 - 
      1156*T1^7*T2^7 - 38*T1^8*T2^7 - 37*T1^9*T2^7 - 25*T1^10*T2^7 + 
      472*T1^11*T2^7 - 180*T1^12*T2^7 - 616*T1^2*T2^8 + 572*T1^3*T2^8 + 
      617*T1^4*T2^8 + 67*T1^5*T2^8 - 706*T1^6*T2^8 - 38*T1^7*T2^8 + 
      594*T1^8*T2^8 - 63*T1^9*T2^8 + 175*T1^10*T2^8 - 572*T1^11*T2^8 + 
      216*T1^12*T2^8 + 408*T1^3*T2^9 - 572*T1^4*T2^9 - 350*T1^5*T2^9 + 
      605*T1^6*T2^9 - 37*T1^7*T2^9 - 63*T1^8*T2^9 - 175*T1^9*T2^9 - 
      233*T1^10*T2^9 + 572*T1^11*T2^9 - 216*T1^12*T2^9 - 200*T1^4*T2^10 + 
      560*T1^5*T2^10 - 441*T1^6*T2^10 - 25*T1^7*T2^10 + 175*T1^8*T2^10 - 
      233*T1^9*T2^10 + 495*T1^10*T2^10 - 584*T1^11*T2^10 + 216*T1^12*T2^10 - 
      4*T1^5*T2^11 - 158*T1^6*T2^11 + 472*T1^7*T2^11 - 572*T1^8*T2^11 + 
      572*T1^9*T2^11 - 584*T1^10*T2^11 + 502*T1^11*T2^11 - 180*T1^12*T2^11 + 
      64*T1^6*T2^12 - 180*T1^7*T2^12 + 216*T1^8*T2^12 - 216*T1^9*T2^12 + 
      216*T1^10*T2^12 - 180*T1^11*T2^12 + 64*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1163] -> 
  {-((8 - 26*T + 35*T^2 - 26*T^3 + 8*T^4)/T^2), 
   -((-1600 + 5136*T1 - 6864*T1^2 + 5136*T1^3 - 1600*T1^4 + 5136*T2 - 
      13028*T1*T2 + 10976*T1^2*T2 - 1712*T1^3*T2 - 5956*T1^4*T2 + 
      3472*T1^5*T2 - 6864*T2^2 + 10976*T1*T2^2 + 3807*T1^2*T2^2 - 
      18321*T1^3*T2^2 + 18927*T1^4*T2^2 - 3584*T1^5*T2^2 - 2384*T1^6*T2^2 + 
      5136*T2^3 - 1712*T1*T2^3 - 18321*T1^2*T2^3 + 23864*T1^3*T2^3 - 
      10430*T1^4*T2^3 - 9221*T1^5*T2^3 + 7232*T1^6*T2^3 + 144*T1^7*T2^3 - 
      1600*T2^4 - 5956*T1*T2^4 + 18927*T1^2*T2^4 - 10430*T1^3*T2^4 - 
      9192*T1^4*T2^4 + 19418*T1^5*T2^4 - 7265*T1^6*T2^4 - 1796*T1^7*T2^4 + 
      448*T1^8*T2^4 + 3472*T1*T2^5 - 3584*T1^2*T2^5 - 9221*T1^3*T2^5 + 
      19418*T1^4*T2^5 - 14876*T1^5*T2^5 - 121*T1^6*T2^5 + 5360*T1^7*T2^5 - 
      1520*T1^8*T2^5 - 2384*T1^2*T2^6 + 7232*T1^3*T2^6 - 7265*T1^4*T2^6 - 
      121*T1^5*T2^6 + 7855*T1^6*T2^6 - 7328*T1^7*T2^6 + 2096*T1^8*T2^6 + 
      144*T1^3*T2^7 - 1796*T1^4*T2^7 + 5360*T1^5*T2^7 - 7328*T1^6*T2^7 + 
      5276*T1^7*T2^7 - 1520*T1^8*T2^7 + 448*T1^4*T2^8 - 1520*T1^5*T2^8 + 
      2096*T1^6*T2^8 - 1520*T1^7*T2^8 + 448*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, Alternating, 1164] -> 
  {-(((1 - T + T^2)*(4 - 9*T + 9*T^2 - 9*T^3 + 4*T^4))/T^3), 
   (-2*(-160 + 516*T1 - 868*T1^2 + 1064*T1^3 - 868*T1^4 + 516*T1^5 - 
      160*T1^6 + 516*T2 - 1254*T1*T2 + 1478*T1^2*T2 - 1206*T1^3*T2 + 
      68*T1^4*T2 + 568*T1^5*T2 - 812*T1^6*T2 + 412*T1^7*T2 - 868*T2^2 + 
      1478*T1*T2^2 - 902*T1^2*T2^2 + 78*T1^3*T2^2 + 1518*T1^4*T2^2 - 
      1154*T1^5*T2^2 + 682*T1^6*T2^2 + 334*T1^7*T2^2 - 516*T1^8*T2^2 + 
      1064*T2^3 - 1206*T1*T2^3 + 78*T1^2*T2^3 + 413*T1^3*T2^3 - 
      1514*T1^4*T2^3 - 177*T1^5*T2^3 + 430*T1^6*T2^3 - 1055*T1^7*T2^3 + 
      328*T1^8*T2^3 + 416*T1^9*T2^3 - 868*T2^4 + 68*T1*T2^4 + 
      1518*T1^2*T2^4 - 1514*T1^3*T2^4 + 2026*T1^4*T2^4 + 277*T1^5*T2^4 + 
      280*T1^6*T2^4 + 52*T1^7*T2^4 + 827*T1^8*T2^4 - 816*T1^9*T2^4 - 
      164*T1^10*T2^4 + 516*T2^5 + 568*T1*T2^5 - 1154*T1^2*T2^5 - 
      177*T1^3*T2^5 + 277*T1^4*T2^5 - 1860*T1^5*T2^5 - 112*T1^6*T2^5 + 
      321*T1^7*T2^5 - 1056*T1^8*T2^5 + 375*T1^9*T2^5 + 542*T1^10*T2^5 - 
      4*T1^11*T2^5 - 160*T2^6 - 812*T1*T2^6 + 682*T1^2*T2^6 + 430*T1^3*T2^6 + 
      280*T1^4*T2^6 - 112*T1^5*T2^6 + 2100*T1^6*T2^6 - 1428*T1^7*T2^6 + 
      922*T1^8*T2^6 + 278*T1^9*T2^6 - 720*T1^10*T2^6 - 84*T1^11*T2^6 + 
      32*T1^12*T2^6 + 412*T1*T2^7 + 334*T1^2*T2^7 - 1055*T1^3*T2^7 + 
      52*T1^4*T2^7 + 321*T1^5*T2^7 - 1428*T1^6*T2^7 + 320*T1^7*T2^7 + 
      365*T1^8*T2^7 - 827*T1^9*T2^7 + 474*T1^10*T2^7 + 308*T1^11*T2^7 - 
      108*T1^12*T2^7 - 516*T1^2*T2^8 + 328*T1^3*T2^8 + 827*T1^4*T2^8 - 
      1056*T1^5*T2^8 + 922*T1^6*T2^8 + 365*T1^7*T2^8 - 824*T1^8*T2^8 + 
      510*T1^9*T2^8 + 136*T1^10*T2^8 - 556*T1^11*T2^8 + 188*T1^12*T2^8 + 
      416*T1^3*T2^9 - 816*T1^4*T2^9 + 375*T1^5*T2^9 + 278*T1^6*T2^9 - 
      827*T1^7*T2^9 + 510*T1^8*T2^9 + 295*T1^9*T2^9 - 758*T1^10*T2^9 + 
      718*T1^11*T2^9 - 232*T1^12*T2^9 - 164*T1^4*T2^10 + 542*T1^5*T2^10 - 
      720*T1^6*T2^10 + 474*T1^7*T2^10 + 136*T1^8*T2^10 - 758*T1^9*T2^10 + 
      864*T1^10*T2^10 - 602*T1^11*T2^10 + 188*T1^12*T2^10 - 4*T1^5*T2^11 - 
      84*T1^6*T2^11 + 308*T1^7*T2^11 - 556*T1^8*T2^11 + 718*T1^9*T2^11 - 
      602*T1^10*T2^11 + 358*T1^11*T2^11 - 108*T1^12*T2^11 + 32*T1^6*T2^12 - 
      108*T1^7*T2^12 + 188*T1^8*T2^12 - 232*T1^9*T2^12 + 188*T1^10*T2^12 - 
      108*T1^11*T2^12 + 32*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1165] -> {-((6 - 17*T + 21*T^2 - 17*T^3 + 6*T^4)/T^2), 
   -((-693 + 1951*T1 - 2397*T1^2 + 1951*T1^3 - 693*T1^4 + 1951*T2 - 
      4154*T1*T2 + 2992*T1^2*T2 - 884*T1^3*T2 - 1808*T1^4*T2 + 1339*T1^5*T2 - 
      2397*T2^2 + 2992*T1*T2^2 + 1580*T1^2*T2^2 - 4192*T1^3*T2^2 + 
      5360*T1^4*T2^2 - 1292*T1^5*T2^2 - 885*T1^6*T2^2 + 1951*T2^3 - 
      884*T1*T2^3 - 4192*T1^2*T2^3 + 4181*T1^3*T2^3 - 2347*T1^4*T2^3 - 
      2407*T1^5*T2^3 + 2176*T1^6*T2^3 + 115*T1^7*T2^3 - 693*T2^4 - 
      1808*T1*T2^4 + 5360*T1^2*T2^4 - 2347*T1^3*T2^4 - 1260*T1^4*T2^4 + 
      3875*T1^5*T2^4 - 1442*T1^6*T2^4 - 788*T1^7*T2^4 + 171*T1^8*T2^4 + 
      1339*T1*T2^5 - 1292*T1^2*T2^5 - 2407*T1^3*T2^5 + 3875*T1^4*T2^5 - 
      2653*T1^5*T2^5 - 622*T1^6*T2^5 + 1768*T1^7*T2^5 - 497*T1^8*T2^5 - 
      885*T1^2*T2^6 + 2176*T1^3*T2^6 - 1442*T1^4*T2^6 - 622*T1^5*T2^6 + 
      2338*T1^6*T2^6 - 2108*T1^7*T2^6 + 627*T1^8*T2^6 + 115*T1^3*T2^7 - 
      788*T1^4*T2^7 + 1768*T1^5*T2^7 - 2108*T1^6*T2^7 + 1558*T1^7*T2^7 - 
      497*T1^8*T2^7 + 171*T1^4*T2^8 - 497*T1^5*T2^8 + 627*T1^6*T2^8 - 
      497*T1^7*T2^8 + 171*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1166] -> {-((8 - 17*T + 8*T^2)/T), 
   (-8*(-92 + 197*T1 - 92*T1^2 + 197*T2 - 361*T1*T2 + 64*T1^2*T2 + 
      61*T1^3*T2 - 92*T2^2 + 64*T1*T2^2 + 234*T1^2*T2^2 - 208*T1^3*T2^2 + 
      36*T1^4*T2^2 + 61*T1*T2^3 - 208*T1^2*T2^3 + 217*T1^3*T2^3 - 
      75*T1^4*T2^3 + 36*T1^2*T2^4 - 75*T1^3*T2^4 + 36*T1^4*T2^4))/
    (T1^3*T2^2*(-1 + T1*T2))}, Knot[12, Alternating, 1167] -> 
  {(1 - 10*T + 35*T^2 - 68*T^3 + 85*T^4 - 68*T^5 + 35*T^6 - 10*T^7 + T^8)/
    T^4, (2*(1 - 10*T1 + 35*T1^2 - 68*T1^3 + 85*T1^4 - 68*T1^5 + 35*T1^6 - 
      10*T1^7 + T1^8)*(1 + T1*T2)*(2 - 15*T1*T2 + 37*T1^2*T2^2 - 
      49*T1^3*T2^3 + 37*T1^4*T2^4 - 15*T1^5*T2^5 + 2*T1^6*T2^6)*
     (1 - 10*T2 + 35*T2^2 - 68*T2^3 + 85*T2^4 - 68*T2^5 + 35*T2^6 - 10*T2^7 + 
      T2^8))/(T1^9*T2^8)}, Knot[12, Alternating, 1168] -> 
  {(1 - 4*T + 10*T^2 - 19*T^3 + 28*T^4 - 31*T^5 + 28*T^6 - 19*T^7 + 10*T^8 - 
     4*T^9 + T^10)/T^5, (-4 + 16*T1 - 40*T1^2 + 76*T1^3 - 112*T1^4 + 
     124*T1^5 - 112*T1^6 + 76*T1^7 - 40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 184*T1^3*T2 + 220*T1^4*T2 - 160*T1^5*T2 + 
     76*T1^6*T2 + 32*T1^7*T2 - 68*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 
     12*T1^11*T2 - 40*T2^2 + 112*T1*T2^2 - 228*T1^2*T2^2 + 362*T1^3*T2^2 - 
     415*T1^4*T2^2 + 292*T1^5*T2^2 - 214*T1^6*T2^2 + 52*T1^7*T2^2 - 
     55*T1^8*T2^2 + 62*T1^9*T2^2 - 48*T1^10*T2^2 + 32*T1^11*T2^2 - 
     20*T1^12*T2^2 + 76*T2^3 - 184*T1*T2^3 + 362*T1^2*T2^3 - 557*T1^3*T2^3 + 
     597*T1^4*T2^3 - 365*T1^5*T2^3 + 313*T1^6*T2^3 - 6*T1^7*T2^3 + 
     92*T1^8*T2^3 - 67*T1^9*T2^3 + 23*T1^10*T2^3 - 8*T1^11*T2^3 + 
     4*T1^12*T2^3 + 19*T1^13*T2^3 - 112*T2^4 + 220*T1*T2^4 - 415*T1^2*T2^4 + 
     597*T1^3*T2^4 - 533*T1^4*T2^4 + 167*T1^5*T2^4 - 219*T1^6*T2^4 - 
     269*T1^7*T2^4 - 27*T1^8*T2^4 - 121*T1^9*T2^4 + 211*T1^10*T2^4 - 
     163*T1^11*T2^4 + 97*T1^12*T2^4 - 76*T1^13*T2^4 + 124*T2^5 - 
     160*T1*T2^5 + 292*T1^2*T2^5 - 365*T1^3*T2^5 + 167*T1^4*T2^5 + 
     165*T1^5*T2^5 + 196*T1^6*T2^5 + 380*T1^7*T2^5 + 293*T1^8*T2^5 + 
     82*T1^9*T2^5 - 117*T1^10*T2^5 - 113*T1^11*T2^5 + 170*T1^12*T2^5 - 
     104*T1^13*T2^5 + 124*T1^14*T2^5 - 31*T1^15*T2^5 - 112*T2^6 + 
     76*T1*T2^6 - 214*T1^2*T2^6 + 313*T1^3*T2^6 - 219*T1^4*T2^6 + 
     196*T1^5*T2^6 - 758*T1^6*T2^6 - 202*T1^7*T2^6 - 460*T1^8*T2^6 - 
     514*T1^9*T2^6 + 466*T1^10*T2^6 - 20*T1^11*T2^6 + 101*T1^12*T2^6 - 
     159*T1^13*T2^6 + 42*T1^14*T2^6 - 100*T1^15*T2^6 + 56*T1^16*T2^6 + 
     76*T2^7 + 32*T1*T2^7 + 52*T1^2*T2^7 - 6*T1^3*T2^7 - 269*T1^4*T2^7 + 
     380*T1^5*T2^7 - 202*T1^6*T2^7 + 1541*T1^7*T2^7 - 621*T1^8*T2^7 + 
     1435*T1^9*T2^7 - 593*T1^10*T2^7 - 338*T1^11*T2^7 - 25*T1^12*T2^7 + 
     7*T1^13*T2^7 + 109*T1^14*T2^7 + 32*T1^15*T2^7 + 4*T1^16*T2^7 - 
     57*T1^17*T2^7 - 40*T2^8 - 68*T1*T2^8 - 55*T1^2*T2^8 + 92*T1^3*T2^8 - 
     27*T1^4*T2^8 + 293*T1^5*T2^8 - 460*T1^6*T2^8 - 621*T1^7*T2^8 - 
     511*T1^8*T2^8 - 223*T1^9*T2^8 - 607*T1^10*T2^8 + 1135*T1^11*T2^8 + 
     214*T1^12*T2^8 - 97*T1^13*T2^8 + 37*T1^14*T2^8 - 170*T1^15*T2^8 + 
     41*T1^16*T2^8 + 68*T1^17*T2^8 + 40*T1^18*T2^8 + 16*T2^9 + 56*T1*T2^9 + 
     62*T1^2*T2^9 - 67*T1^3*T2^9 - 121*T1^4*T2^9 + 82*T1^5*T2^9 - 
     514*T1^6*T2^9 + 1435*T1^7*T2^9 - 223*T1^8*T2^9 + 382*T1^9*T2^9 + 
     392*T1^10*T2^9 - 743*T1^11*T2^9 - 1221*T1^12*T2^9 + 326*T1^13*T2^9 - 
     212*T1^14*T2^9 + 207*T1^15*T2^9 + 21*T1^16*T2^9 - 128*T1^17*T2^9 - 
     80*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 48*T1^2*T2^10 + 
     23*T1^3*T2^10 + 211*T1^4*T2^10 - 117*T1^5*T2^10 + 466*T1^6*T2^10 - 
     593*T1^7*T2^10 - 607*T1^8*T2^10 + 392*T1^9*T2^10 + 144*T1^10*T2^10 - 
     320*T1^11*T2^10 + 2497*T1^12*T2^10 - 331*T1^13*T2^10 + 254*T1^14*T2^10 - 
     75*T1^15*T2^10 - 149*T1^16*T2^10 + 157*T1^17*T2^10 + 140*T1^18*T2^10 + 
     56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 32*T1^2*T2^11 - 
     8*T1^3*T2^11 - 163*T1^4*T2^11 - 113*T1^5*T2^11 - 20*T1^6*T2^11 - 
     338*T1^7*T2^11 + 1135*T1^8*T2^11 - 743*T1^9*T2^11 - 320*T1^10*T2^11 - 
     310*T1^11*T2^11 - 1263*T1^12*T2^11 - 1521*T1^13*T2^11 + 
     502*T1^14*T2^11 - 314*T1^15*T2^11 + 215*T1^16*T2^11 - 75*T1^17*T2^11 - 
     198*T1^18*T2^11 - 104*T1^19*T2^11 - 24*T1^20*T2^11 - 20*T1^2*T2^12 + 
     4*T1^3*T2^12 + 97*T1^4*T2^12 + 170*T1^5*T2^12 + 101*T1^6*T2^12 - 
     25*T1^7*T2^12 + 214*T1^8*T2^12 - 1221*T1^9*T2^12 + 2497*T1^10*T2^12 - 
     1263*T1^11*T2^12 + 2401*T1^12*T2^12 + 535*T1^13*T2^12 + 
     888*T1^14*T2^12 - 415*T1^15*T2^12 + 165*T1^16*T2^12 - 92*T1^17*T2^12 + 
     193*T1^18*T2^12 + 140*T1^19*T2^12 + 60*T1^20*T2^12 + 19*T1^3*T2^13 - 
     76*T1^4*T2^13 - 104*T1^5*T2^13 - 159*T1^6*T2^13 + 7*T1^7*T2^13 - 
     97*T1^8*T2^13 + 326*T1^9*T2^13 - 331*T1^10*T2^13 - 1521*T1^11*T2^13 + 
     535*T1^12*T2^13 - 2465*T1^13*T2^13 + 190*T1^14*T2^13 - 502*T1^15*T2^13 + 
     283*T1^16*T2^13 - 44*T1^17*T2^13 - 124*T1^18*T2^13 - 104*T1^19*T2^13 - 
     114*T1^20*T2^13 + 124*T1^5*T2^14 + 42*T1^6*T2^14 + 109*T1^7*T2^14 + 
     37*T1^8*T2^14 - 212*T1^9*T2^14 + 254*T1^10*T2^14 + 502*T1^11*T2^14 + 
     888*T1^12*T2^14 + 190*T1^13*T2^14 + 1478*T1^14*T2^14 - 428*T1^15*T2^14 + 
     357*T1^16*T2^14 - 363*T1^17*T2^14 + 298*T1^18*T2^14 - 52*T1^19*T2^14 + 
     168*T1^20*T2^14 - 31*T1^5*T2^15 - 100*T1^6*T2^15 + 32*T1^7*T2^15 - 
     170*T1^8*T2^15 + 207*T1^9*T2^15 - 75*T1^10*T2^15 - 314*T1^11*T2^15 - 
     415*T1^12*T2^15 - 502*T1^13*T2^15 - 428*T1^14*T2^15 - 357*T1^15*T2^15 - 
     73*T1^16*T2^15 + 365*T1^17*T2^15 - 364*T1^18*T2^15 + 184*T1^19*T2^15 - 
     186*T1^20*T2^15 + 56*T1^6*T2^16 + 4*T1^7*T2^16 + 41*T1^8*T2^16 + 
     21*T1^9*T2^16 - 149*T1^10*T2^16 + 215*T1^11*T2^16 + 165*T1^12*T2^16 + 
     283*T1^13*T2^16 + 357*T1^14*T2^16 - 73*T1^15*T2^16 + 595*T1^16*T2^16 - 
     739*T1^17*T2^16 + 553*T1^18*T2^16 - 292*T1^19*T2^16 + 168*T1^20*T2^16 - 
     57*T1^7*T2^17 + 68*T1^8*T2^17 - 128*T1^9*T2^17 + 157*T1^10*T2^17 - 
     75*T1^11*T2^17 - 92*T1^12*T2^17 - 44*T1^13*T2^17 - 363*T1^14*T2^17 + 
     365*T1^15*T2^17 - 739*T1^16*T2^17 + 737*T1^17*T2^17 - 498*T1^18*T2^17 + 
     256*T1^19*T2^17 - 114*T1^20*T2^17 + 40*T1^8*T2^18 - 80*T1^9*T2^18 + 
     140*T1^10*T2^18 - 198*T1^11*T2^18 + 193*T1^12*T2^18 - 124*T1^13*T2^18 + 
     298*T1^14*T2^18 - 364*T1^15*T2^18 + 553*T1^16*T2^18 - 498*T1^17*T2^18 + 
     320*T1^18*T2^18 - 160*T1^19*T2^18 + 60*T1^20*T2^18 - 20*T1^9*T2^19 + 
     56*T1^10*T2^19 - 104*T1^11*T2^19 + 140*T1^12*T2^19 - 104*T1^13*T2^19 - 
     52*T1^14*T2^19 + 184*T1^15*T2^19 - 292*T1^16*T2^19 + 256*T1^17*T2^19 - 
     160*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 6*T1^10*T2^20 - 
     24*T1^11*T2^20 + 60*T1^12*T2^20 - 114*T1^13*T2^20 + 168*T1^14*T2^20 - 
     186*T1^15*T2^20 + 168*T1^16*T2^20 - 114*T1^17*T2^20 + 60*T1^18*T2^20 - 
     24*T1^19*T2^20 + 6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1169] -> 
  {(2 - 8*T + 17*T^2 - 26*T^3 + 31*T^4 - 26*T^5 + 17*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 124*T1 - 263*T1^2 + 402*T1^3 - 479*T1^4 + 402*T1^5 - 
     263*T1^6 + 124*T1^7 - 31*T1^8 + 124*T2 - 404*T1*T2 + 684*T1^2*T2 - 
     828*T1^3*T2 + 724*T1^4*T2 - 188*T1^5*T2 - 140*T1^6*T2 + 284*T1^7*T2 - 
     244*T1^8*T2 + 92*T1^9*T2 - 263*T2^2 + 684*T1*T2^2 - 882*T1^2*T2^2 + 
     788*T1^3*T2^2 - 345*T1^4*T2^2 - 664*T1^5*T2^2 + 607*T1^6*T2^2 - 
     436*T1^7*T2^2 + 138*T1^8*T2^2 + 140*T1^9*T2^2 - 127*T1^10*T2^2 + 
     402*T2^3 - 828*T1*T2^3 + 788*T1^2*T2^3 - 532*T1^3*T2^3 + 5*T1^4*T2^3 + 
     1051*T1^5*T2^3 + 7*T1^6*T2^3 - 231*T1^7*T2^3 + 436*T1^8*T2^3 - 
     504*T1^9*T2^3 + 148*T1^10*T2^3 + 90*T1^11*T2^3 - 479*T2^4 + 
     724*T1*T2^4 - 345*T1^2*T2^4 + 5*T1^3*T2^4 + 572*T1^4*T2^4 - 
     1569*T1^5*T2^4 - 310*T1^6*T2^4 - 209*T1^7*T2^4 + 276*T1^8*T2^4 - 
     203*T1^9*T2^4 + 543*T1^10*T2^4 - 428*T1^11*T2^4 + 17*T1^12*T2^4 + 
     402*T2^5 - 188*T1*T2^5 - 664*T1^2*T2^5 + 1051*T1^3*T2^5 - 
     1569*T1^4*T2^5 + 2030*T1^5*T2^5 + 536*T1^6*T2^5 + 834*T1^7*T2^5 - 
     700*T1^8*T2^5 + 153*T1^9*T2^5 - 417*T1^10*T2^5 - 16*T1^11*T2^5 + 
     404*T1^12*T2^5 - 118*T1^13*T2^5 - 263*T2^6 - 140*T1*T2^6 + 
     607*T1^2*T2^6 + 7*T1^3*T2^6 - 310*T1^4*T2^6 + 536*T1^5*T2^6 - 
     2382*T1^6*T2^6 - 502*T1^7*T2^6 + 458*T1^8*T2^6 + 388*T1^9*T2^6 + 
     192*T1^10*T2^6 + 415*T1^11*T2^6 - 473*T1^12*T2^6 - 108*T1^13*T2^6 + 
     145*T1^14*T2^6 + 124*T2^7 + 284*T1*T2^7 - 436*T1^2*T2^7 - 
     231*T1^3*T2^7 - 209*T1^4*T2^7 + 834*T1^5*T2^7 - 502*T1^6*T2^7 + 
     3138*T1^7*T2^7 - 1666*T1^8*T2^7 - 422*T1^9*T2^7 - 356*T1^10*T2^7 - 
     483*T1^11*T2^7 + 117*T1^12*T2^7 + 448*T1^13*T2^7 - 180*T1^14*T2^7 - 
     100*T1^15*T2^7 - 31*T2^8 - 244*T1*T2^8 + 138*T1^2*T2^8 + 436*T1^3*T2^8 + 
     276*T1^4*T2^8 - 700*T1^5*T2^8 + 458*T1^6*T2^8 - 1666*T1^7*T2^8 - 
     216*T1^8*T2^8 + 1958*T1^9*T2^8 + 206*T1^10*T2^8 + 596*T1^11*T2^8 + 
     120*T1^12*T2^8 - 412*T1^13*T2^8 - 78*T1^14*T2^8 + 268*T1^15*T2^8 + 
     33*T1^16*T2^8 + 92*T1*T2^9 + 140*T1^2*T2^9 - 504*T1^3*T2^9 - 
     203*T1^4*T2^9 + 153*T1^5*T2^9 + 388*T1^6*T2^9 - 422*T1^7*T2^9 + 
     1958*T1^8*T2^9 - 2846*T1^9*T2^9 - 342*T1^10*T2^9 - 802*T1^11*T2^9 - 
     121*T1^12*T2^9 + 145*T1^13*T2^9 + 380*T1^14*T2^9 - 324*T1^15*T2^9 - 
     132*T1^16*T2^9 - 127*T1^2*T2^10 + 148*T1^3*T2^10 + 543*T1^4*T2^10 - 
     417*T1^5*T2^10 + 192*T1^6*T2^10 - 356*T1^7*T2^10 + 206*T1^8*T2^10 - 
     342*T1^9*T2^10 + 3046*T1^10*T2^10 - 504*T1^11*T2^10 + 694*T1^12*T2^10 - 
     9*T1^13*T2^10 - 537*T1^14*T2^10 + 180*T1^15*T2^10 + 281*T1^16*T2^10 + 
     90*T1^3*T2^11 - 428*T1^4*T2^11 - 16*T1^5*T2^11 + 415*T1^6*T2^11 - 
     483*T1^7*T2^11 + 596*T1^8*T2^11 - 802*T1^9*T2^11 - 504*T1^10*T2^11 - 
     2134*T1^11*T2^11 + 1239*T1^12*T2^11 - 1053*T1^13*T2^11 + 
     632*T1^14*T2^11 + 164*T1^15*T2^11 - 430*T1^16*T2^11 + 17*T1^4*T2^12 + 
     404*T1^5*T2^12 - 473*T1^6*T2^12 + 117*T1^7*T2^12 + 120*T1^8*T2^12 - 
     121*T1^9*T2^12 + 694*T1^10*T2^12 + 1239*T1^11*T2^12 - 176*T1^12*T2^12 - 
     91*T1^13*T2^12 + 415*T1^14*T2^12 - 748*T1^15*T2^12 + 513*T1^16*T2^12 - 
     118*T1^5*T2^13 - 108*T1^6*T2^13 + 448*T1^7*T2^13 - 412*T1^8*T2^13 + 
     145*T1^9*T2^13 - 9*T1^10*T2^13 - 1053*T1^11*T2^13 - 91*T1^12*T2^13 + 
     556*T1^13*T2^13 - 844*T1^14*T2^13 + 868*T1^15*T2^13 - 430*T1^16*T2^13 + 
     145*T1^6*T2^14 - 180*T1^7*T2^14 - 78*T1^8*T2^14 + 380*T1^9*T2^14 - 
     537*T1^10*T2^14 + 632*T1^11*T2^14 + 415*T1^12*T2^14 - 844*T1^13*T2^14 + 
     942*T1^14*T2^14 - 724*T1^15*T2^14 + 281*T1^16*T2^14 - 100*T1^7*T2^15 + 
     268*T1^8*T2^15 - 324*T1^9*T2^15 + 180*T1^10*T2^15 + 164*T1^11*T2^15 - 
     748*T1^12*T2^15 + 868*T1^13*T2^15 - 724*T1^14*T2^15 + 428*T1^15*T2^15 - 
     132*T1^16*T2^15 + 33*T1^8*T2^16 - 132*T1^9*T2^16 + 281*T1^10*T2^16 - 
     430*T1^11*T2^16 + 513*T1^12*T2^16 - 430*T1^13*T2^16 + 281*T1^14*T2^16 - 
     132*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1170] -> 
  {(2 - 8*T + 18*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 124*T1 - 279*T1^2 + 465*T1^3 - 573*T1^4 + 465*T1^5 - 
     279*T1^6 + 124*T1^7 - 31*T1^8 + 124*T2 - 404*T1*T2 + 748*T1^2*T2 - 
     1032*T1^3*T2 + 912*T1^4*T2 - 160*T1^5*T2 - 264*T1^6*T2 + 332*T1^7*T2 - 
     244*T1^8*T2 + 92*T1^9*T2 - 279*T2^2 + 748*T1*T2^2 - 1166*T1^2*T2^2 + 
     1393*T1^3*T2^2 - 820*T1^4*T2^2 - 626*T1^5*T2^2 + 548*T1^6*T2^2 - 
     191*T1^7*T2^2 - 14*T1^8*T2^2 + 172*T1^9*T2^2 - 135*T1^10*T2^2 + 
     465*T2^3 - 1032*T1*T2^3 + 1393*T1^2*T2^3 - 1554*T1^3*T2^3 + 
     590*T1^4*T2^3 + 1181*T1^5*T2^3 + 173*T1^6*T2^3 - 598*T1^7*T2^3 + 
     462*T1^8*T2^3 - 407*T1^9*T2^3 + 120*T1^10*T2^3 + 105*T1^11*T2^3 - 
     573*T2^4 + 912*T1*T2^4 - 820*T1^2*T2^4 + 590*T1^3*T2^4 + 943*T1^4*T2^4 - 
     2618*T1^5*T2^4 - 355*T1^6*T2^4 - 10*T1^7*T2^4 + 743*T1^8*T2^4 - 
     610*T1^9*T2^4 + 668*T1^10*T2^4 - 496*T1^11*T2^4 + 19*T1^12*T2^4 + 
     465*T2^5 - 160*T1*T2^5 - 626*T1^2*T2^5 + 1181*T1^3*T2^5 - 
     2618*T1^4*T2^5 + 2758*T1^5*T2^5 + 1782*T1^6*T2^5 + 426*T1^7*T2^5 - 
     1682*T1^8*T2^5 + 658*T1^9*T2^5 - 403*T1^10*T2^5 - 2*T1^11*T2^5 + 
     464*T1^12*T2^5 - 135*T1^13*T2^5 - 279*T2^6 - 264*T1*T2^6 + 
     548*T1^2*T2^6 + 173*T1^3*T2^6 - 355*T1^4*T2^6 + 1782*T1^5*T2^6 - 
     4655*T1^6*T2^6 - 1361*T1^7*T2^6 + 2989*T1^8*T2^6 - 402*T1^9*T2^6 + 
     149*T1^10*T2^6 + 317*T1^11*T2^6 - 580*T1^12*T2^6 - 72*T1^13*T2^6 + 
     153*T1^14*T2^6 + 124*T2^7 + 332*T1*T2^7 - 191*T1^2*T2^7 - 
     598*T1^3*T2^7 - 10*T1^4*T2^7 + 426*T1^5*T2^7 - 1361*T1^6*T2^7 + 
     7986*T1^7*T2^7 - 6224*T1^8*T2^7 + 43*T1^9*T2^7 + 126*T1^10*T2^7 - 
     614*T1^11*T2^7 + 542*T1^12*T2^7 + 313*T1^13*T2^7 - 212*T1^14*T2^7 - 
     100*T1^15*T2^7 - 31*T2^8 - 244*T1*T2^8 - 14*T1^2*T2^8 + 462*T1^3*T2^8 + 
     743*T1^4*T2^8 - 1682*T1^5*T2^8 + 2989*T1^6*T2^8 - 6224*T1^7*T2^8 + 
     1344*T1^8*T2^8 + 5352*T1^9*T2^8 - 2195*T1^10*T2^8 + 1486*T1^11*T2^8 - 
     665*T1^12*T2^8 - 354*T1^13*T2^8 + 82*T1^14*T2^8 + 268*T1^15*T2^8 + 
     33*T1^16*T2^8 + 92*T1*T2^9 + 172*T1^2*T2^9 - 407*T1^3*T2^9 - 
     610*T1^4*T2^9 + 658*T1^5*T2^9 - 402*T1^6*T2^9 + 43*T1^7*T2^9 + 
     5352*T1^8*T2^9 - 8858*T1^9*T2^9 + 1447*T1^10*T2^9 - 702*T1^11*T2^9 + 
     54*T1^12*T2^9 + 530*T1^13*T2^9 + 97*T1^14*T2^9 - 372*T1^15*T2^9 - 
     132*T1^16*T2^9 - 135*T1^2*T2^10 + 120*T1^3*T2^10 + 668*T1^4*T2^10 - 
     403*T1^5*T2^10 + 149*T1^6*T2^10 + 126*T1^7*T2^10 - 2195*T1^8*T2^10 + 
     1447*T1^9*T2^10 + 5449*T1^10*T2^10 - 2058*T1^11*T2^10 + 
     653*T1^12*T2^10 - 259*T1^13*T2^10 - 460*T1^14*T2^10 + 312*T1^15*T2^10 + 
     297*T1^16*T2^10 + 105*T1^3*T2^11 - 496*T1^4*T2^11 - 2*T1^5*T2^11 + 
     317*T1^6*T2^11 - 614*T1^7*T2^11 + 1486*T1^8*T2^11 - 702*T1^9*T2^11 - 
     2058*T1^10*T2^11 - 2954*T1^11*T2^11 + 2662*T1^12*T2^11 - 
     1267*T1^13*T2^11 + 622*T1^14*T2^11 + 128*T1^15*T2^11 - 495*T1^16*T2^11 + 
     19*T1^4*T2^12 + 464*T1^5*T2^12 - 580*T1^6*T2^12 + 542*T1^7*T2^12 - 
     665*T1^8*T2^12 + 54*T1^9*T2^12 + 653*T1^10*T2^12 + 2662*T1^11*T2^12 - 
     865*T1^12*T2^12 - 658*T1^13*T2^12 + 908*T1^14*T2^12 - 944*T1^15*T2^12 + 
     611*T1^16*T2^12 - 135*T1^5*T2^13 - 72*T1^6*T2^13 + 313*T1^7*T2^13 - 
     354*T1^8*T2^13 + 530*T1^9*T2^13 - 259*T1^10*T2^13 - 1267*T1^11*T2^13 - 
     658*T1^12*T2^13 + 1662*T1^13*T2^13 - 1487*T1^14*T2^13 + 
     1080*T1^15*T2^13 - 495*T1^16*T2^13 + 153*T1^6*T2^14 - 212*T1^7*T2^14 + 
     82*T1^8*T2^14 + 97*T1^9*T2^14 - 460*T1^10*T2^14 + 622*T1^11*T2^14 + 
     908*T1^12*T2^14 - 1487*T1^13*T2^14 + 1234*T1^14*T2^14 - 
     788*T1^15*T2^14 + 297*T1^16*T2^14 - 100*T1^7*T2^15 + 268*T1^8*T2^15 - 
     372*T1^9*T2^15 + 312*T1^10*T2^15 + 128*T1^11*T2^15 - 944*T1^12*T2^15 + 
     1080*T1^13*T2^15 - 788*T1^14*T2^15 + 428*T1^15*T2^15 - 132*T1^16*T2^15 + 
     33*T1^8*T2^16 - 132*T1^9*T2^16 + 297*T1^10*T2^16 - 495*T1^11*T2^16 + 
     611*T1^12*T2^16 - 495*T1^13*T2^16 + 297*T1^14*T2^16 - 132*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1171] -> 
  {(4 - 15*T + 25*T^2 - 27*T^3 + 25*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (-240 + 896*T1 - 1484*T1^2 + 1600*T1^3 - 1484*T1^4 + 896*T1^5 - 240*T1^6 + 
     896*T2 - 2688*T1*T2 + 3093*T1^2*T2 - 1933*T1^3*T2 + 1187*T1^4*T2 + 
     693*T1^5*T2 - 1548*T1^6*T2 + 656*T1^7*T2 - 1484*T2^2 + 3093*T1*T2^2 - 
     658*T1^2*T2^2 - 2908*T1^3*T2^2 + 3312*T1^4*T2^2 - 5308*T1^5*T2^2 + 
     3542*T1^6*T2^2 + 93*T1^7*T2^2 - 684*T1^8*T2^2 + 1600*T2^3 - 
     1933*T1*T2^3 - 2908*T1^2*T2^3 + 5757*T1^3*T2^3 - 3032*T1^4*T2^3 + 
     3508*T1^5*T2^3 + 801*T1^6*T2^3 - 3883*T1^7*T2^3 + 1427*T1^8*T2^3 + 
     304*T1^9*T2^3 - 1484*T2^4 + 1187*T1*T2^4 + 3312*T1^2*T2^4 - 
     3032*T1^3*T2^4 - 2241*T1^4*T2^4 + 1261*T1^5*T2^4 - 3561*T1^6*T2^4 + 
     3178*T1^7*T2^4 + 1162*T1^8*T2^4 - 1573*T1^9*T2^4 + 116*T1^10*T2^4 + 
     896*T2^5 + 693*T1*T2^5 - 5308*T1^2*T2^5 + 3508*T1^3*T2^5 + 
     1261*T1^4*T2^5 + 2156*T1^5*T2^5 - 2044*T1^6*T2^5 + 1636*T1^7*T2^5 - 
     3692*T1^8*T2^5 + 1367*T1^9*T2^5 + 693*T1^10*T2^5 - 304*T1^11*T2^5 - 
     240*T2^6 - 1548*T1*T2^6 + 3542*T1^2*T2^6 + 801*T1^3*T2^6 - 
     3561*T1^4*T2^6 - 2044*T1^5*T2^6 + 2088*T1^6*T2^6 + 416*T1^7*T2^6 + 
     789*T1^8*T2^6 + 1959*T1^9*T2^6 - 2558*T1^10*T2^6 + 612*T1^11*T2^6 + 
     144*T1^12*T2^6 + 656*T1*T2^7 + 93*T1^2*T2^7 - 3883*T1^3*T2^7 + 
     3178*T1^4*T2^7 + 1636*T1^5*T2^7 + 416*T1^6*T2^7 - 3784*T1^7*T2^7 + 
     2011*T1^8*T2^7 - 4022*T1^9*T2^7 + 2792*T1^10*T2^7 + 93*T1^11*T2^7 - 
     544*T1^12*T2^7 - 684*T1^2*T2^8 + 1427*T1^3*T2^8 + 1162*T1^4*T2^8 - 
     3692*T1^5*T2^8 + 789*T1^6*T2^8 + 2011*T1^7*T2^8 - 531*T1^8*T2^8 + 
     2518*T1^9*T2^8 - 988*T1^10*T2^8 - 1333*T1^11*T2^8 + 916*T1^12*T2^8 + 
     304*T1^3*T2^9 - 1573*T1^4*T2^9 + 1367*T1^5*T2^9 + 1959*T1^6*T2^9 - 
     4022*T1^7*T2^9 + 2518*T1^8*T2^9 - 2997*T1^9*T2^9 + 392*T1^10*T2^9 + 
     1787*T1^11*T2^9 - 992*T1^12*T2^9 + 116*T1^4*T2^10 + 693*T1^5*T2^10 - 
     2558*T1^6*T2^10 + 2792*T1^7*T2^10 - 988*T1^8*T2^10 + 392*T1^9*T2^10 + 
     1642*T1^10*T2^10 - 2307*T1^11*T2^10 + 916*T1^12*T2^10 - 304*T1^5*T2^11 + 
     612*T1^6*T2^11 + 93*T1^7*T2^11 - 1333*T1^8*T2^11 + 1787*T1^9*T2^11 - 
     2307*T1^10*T2^11 + 1752*T1^11*T2^11 - 544*T1^12*T2^11 + 144*T1^6*T2^12 - 
     544*T1^7*T2^12 + 916*T1^8*T2^12 - 992*T1^9*T2^12 + 916*T1^10*T2^12 - 
     544*T1^11*T2^12 + 144*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1172] -> 
  {(2 - 10*T + 26*T^2 - 45*T^3 + 55*T^4 - 45*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 156*T1 - 407*T1^2 + 706*T1^3 - 863*T1^4 + 706*T1^5 - 
     407*T1^6 + 156*T1^7 - 31*T1^8 + 156*T2 - 668*T1*T2 + 1460*T1^2*T2 - 
     2021*T1^3*T2 + 1689*T1^4*T2 - 311*T1^5*T2 - 601*T1^6*T2 + 740*T1^7*T2 - 
     428*T1^8*T2 + 116*T1^9*T2 - 407*T2^2 + 1460*T1*T2^2 - 2583*T1^2*T2^2 + 
     2554*T1^3*T2^2 - 550*T1^4*T2^2 - 2561*T1^5*T2^2 + 2466*T1^6*T2^2 - 
     1086*T1^7*T2^2 - 87*T1^8*T2^2 + 420*T1^9*T2^2 - 199*T1^10*T2^2 + 
     706*T2^3 - 2021*T1*T2^3 + 2554*T1^2*T2^3 - 840*T1^3*T2^3 - 
     2913*T1^4*T2^3 + 5742*T1^5*T2^3 - 1088*T1^6*T2^3 - 2003*T1^7*T2^3 + 
     2490*T1^8*T2^3 - 1346*T1^9*T2^3 + 159*T1^10*T2^3 + 166*T1^11*T2^3 - 
     863*T2^4 + 1689*T1*T2^4 - 550*T1^2*T2^4 - 2913*T1^3*T2^4 + 
     6327*T1^4*T2^4 - 5255*T1^5*T2^4 - 5071*T1^6*T2^4 + 5445*T1^7*T2^4 - 
     1853*T1^8*T2^4 - 1113*T1^9*T2^4 + 1890*T1^10*T2^4 - 911*T1^11*T2^4 + 
     17*T1^12*T2^4 + 706*T2^5 - 311*T1*T2^5 - 2561*T1^2*T2^5 + 
     5742*T1^3*T2^5 - 5255*T1^4*T2^5 - 1546*T1^5*T2^5 + 12550*T1^6*T2^5 - 
     3500*T1^7*T2^5 - 4576*T1^8*T2^5 + 5425*T1^9*T2^5 - 2868*T1^10*T2^5 - 
     101*T1^11*T2^5 + 889*T1^12*T2^5 - 194*T1^13*T2^5 - 407*T2^6 - 
     601*T1*T2^6 + 2466*T1^2*T2^6 - 1088*T1^3*T2^6 - 5071*T1^4*T2^6 + 
     12550*T1^5*T2^6 - 13327*T1^6*T2^6 - 7593*T1^7*T2^6 + 14101*T1^8*T2^6 - 
     6190*T1^9*T2^6 - 271*T1^10*T2^6 + 3072*T1^11*T2^6 - 1702*T1^12*T2^6 - 
     121*T1^13*T2^6 + 217*T1^14*T2^6 + 156*T2^7 + 740*T1*T2^7 - 
     1086*T1^2*T2^7 - 2003*T1^3*T2^7 + 5445*T1^4*T2^7 - 3500*T1^5*T2^7 - 
     7593*T1^6*T2^7 + 25883*T1^7*T2^7 - 17527*T1^8*T2^7 - 2558*T1^9*T2^7 + 
     7170*T1^10*T2^7 - 5315*T1^11*T2^7 + 647*T1^12*T2^7 + 1254*T1^13*T2^7 - 
     460*T1^14*T2^7 - 124*T1^15*T2^7 - 31*T2^8 - 428*T1*T2^8 - 87*T1^2*T2^8 + 
     2490*T1^3*T2^8 - 1853*T1^4*T2^8 - 4576*T1^5*T2^8 + 14101*T1^6*T2^8 - 
     17527*T1^7*T2^8 - 1344*T1^8*T2^8 + 19363*T1^9*T2^8 - 10505*T1^10*T2^8 + 
     2504*T1^11*T2^8 + 2711*T1^12*T2^8 - 2290*T1^13*T2^8 + 153*T1^14*T2^8 + 
     452*T1^15*T2^8 + 33*T1^16*T2^8 + 116*T1*T2^9 + 420*T1^2*T2^9 - 
     1346*T1^3*T2^9 - 1113*T1^4*T2^9 + 5425*T1^5*T2^9 - 6190*T1^6*T2^9 - 
     2558*T1^7*T2^9 + 19363*T1^8*T2^9 - 24047*T1^9*T2^9 + 2477*T1^10*T2^9 + 
     4480*T1^11*T2^9 - 5335*T1^12*T2^9 + 1537*T1^13*T2^9 + 994*T1^14*T2^9 - 
     780*T1^15*T2^9 - 164*T1^16*T2^9 - 199*T1^2*T2^10 + 159*T1^3*T2^10 + 
     1890*T1^4*T2^10 - 2868*T1^5*T2^10 - 271*T1^6*T2^10 + 7170*T1^7*T2^10 - 
     10505*T1^8*T2^10 + 2477*T1^9*T2^10 + 16923*T1^10*T2^10 - 
     11570*T1^11*T2^10 + 4529*T1^12*T2^10 + 1292*T1^13*T2^10 - 
     2278*T1^14*T2^10 + 639*T1^15*T2^10 + 425*T1^16*T2^10 + 166*T1^3*T2^11 - 
     911*T1^4*T2^11 - 101*T1^5*T2^11 + 3072*T1^6*T2^11 - 5315*T1^7*T2^11 + 
     2504*T1^8*T2^11 + 4480*T1^9*T2^11 - 11570*T1^10*T2^11 - 
     526*T1^11*T2^11 + 5365*T1^12*T2^11 - 5538*T1^13*T2^11 + 
     2359*T1^14*T2^11 + 289*T1^15*T2^11 - 734*T1^16*T2^11 + 17*T1^4*T2^12 + 
     889*T1^5*T2^12 - 1702*T1^6*T2^12 + 647*T1^7*T2^12 + 2711*T1^8*T2^12 - 
     5335*T1^9*T2^12 + 4529*T1^10*T2^12 + 5365*T1^11*T2^12 - 
     5469*T1^12*T2^12 + 2447*T1^13*T2^12 + 738*T1^14*T2^12 - 
     1711*T1^15*T2^12 + 897*T1^16*T2^12 - 194*T1^5*T2^13 - 121*T1^6*T2^13 + 
     1254*T1^7*T2^13 - 2290*T1^8*T2^13 + 1537*T1^9*T2^13 + 1292*T1^10*T2^13 - 
     5538*T1^11*T2^13 + 2447*T1^12*T2^13 + 1040*T1^13*T2^13 - 
     2646*T1^14*T2^13 + 2059*T1^15*T2^13 - 734*T1^16*T2^13 + 217*T1^6*T2^14 - 
     460*T1^7*T2^14 + 153*T1^8*T2^14 + 994*T1^9*T2^14 - 2278*T1^10*T2^14 + 
     2359*T1^11*T2^14 + 738*T1^12*T2^14 - 2646*T1^13*T2^14 + 
     2649*T1^14*T2^14 - 1500*T1^15*T2^14 + 425*T1^16*T2^14 - 124*T1^7*T2^15 + 
     452*T1^8*T2^15 - 780*T1^9*T2^15 + 639*T1^10*T2^15 + 289*T1^11*T2^15 - 
     1711*T1^12*T2^15 + 2059*T1^13*T2^15 - 1500*T1^14*T2^15 + 
     692*T1^15*T2^15 - 164*T1^16*T2^15 + 33*T1^8*T2^16 - 164*T1^9*T2^16 + 
     425*T1^10*T2^16 - 734*T1^11*T2^16 + 897*T1^12*T2^16 - 734*T1^13*T2^16 + 
     425*T1^14*T2^16 - 164*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1173] -> 
  {(3 - 21*T + 55*T^2 - 73*T^3 + 55*T^4 - 21*T^5 + 3*T^6)/T^3, 
   (-111 + 777*T1 - 2028*T1^2 + 2685*T1^3 - 2028*T1^4 + 777*T1^5 - 111*T1^6 + 
     777*T2 - 4849*T1*T2 + 10071*T1^2*T2 - 8059*T1^3*T2 + 5*T1^4*T2 + 
     5283*T1^5*T2 - 3337*T1^6*T2 + 588*T1^7*T2 - 2028*T2^2 + 10071*T1*T2^2 - 
     9310*T1^2*T2^2 - 18537*T1^3*T2^2 + 43058*T1^4*T2^2 - 35697*T1^5*T2^2 + 
     7850*T1^6*T2^2 + 3141*T1^7*T2^2 - 1038*T1^8*T2^2 + 2685*T2^3 - 
     8059*T1*T2^3 - 18537*T1^2*T2^3 + 79902*T1^3*T2^3 - 82371*T1^4*T2^3 + 
     15537*T1^5*T2^3 + 42054*T1^6*T2^3 - 26952*T1^7*T2^3 + 2273*T1^8*T2^3 + 
     714*T1^9*T2^3 - 2028*T2^4 + 5*T1*T2^4 + 43058*T1^2*T2^4 - 
     82371*T1^3*T2^4 - 1649*T1^4*T2^4 + 117459*T1^5*T2^4 - 126761*T1^6*T2^4 + 
     28881*T1^7*T2^4 + 14972*T1^8*T2^4 - 4657*T1^9*T2^4 - 48*T1^10*T2^4 + 
     777*T2^5 + 5283*T1*T2^5 - 35697*T1^2*T2^5 + 15537*T1^3*T2^5 + 
     117459*T1^4*T2^5 - 178843*T1^5*T2^5 + 79297*T1^6*T2^5 + 
     58334*T1^7*T2^5 - 55683*T1^8*T2^5 + 7698*T1^9*T2^5 + 1503*T1^10*T2^5 - 
     168*T1^11*T2^5 - 111*T2^6 - 3337*T1*T2^6 + 7850*T1^2*T2^6 + 
     42054*T1^3*T2^6 - 126761*T1^4*T2^6 + 79297*T1^5*T2^6 + 71052*T1^6*T2^6 - 
     144709*T1^7*T2^6 + 62037*T1^8*T2^6 + 8082*T1^9*T2^6 - 8074*T1^10*T2^6 + 
     821*T1^11*T2^6 + 51*T1^12*T2^6 + 588*T1*T2^7 + 3141*T1^2*T2^7 - 
     26952*T1^3*T2^7 + 28881*T1^4*T2^7 + 58334*T1^5*T2^7 - 144709*T1^6*T2^7 + 
     113431*T1^7*T2^7 - 791*T1^8*T2^7 - 42339*T1^9*T2^7 + 16443*T1^10*T2^7 - 
     639*T1^11*T2^7 - 357*T1^12*T2^7 - 1038*T1^2*T2^8 + 2273*T1^3*T2^8 + 
     14972*T1^4*T2^8 - 55683*T1^5*T2^8 + 62037*T1^6*T2^8 - 791*T1^7*T2^8 - 
     63075*T1^8*T2^8 + 55569*T1^9*T2^8 - 13114*T1^10*T2^8 - 2389*T1^11*T2^8 + 
     942*T1^12*T2^8 + 714*T1^3*T2^9 - 4657*T1^4*T2^9 + 7698*T1^5*T2^9 + 
     8082*T1^6*T2^9 - 42339*T1^7*T2^9 + 55569*T1^8*T2^9 - 29766*T1^9*T2^9 - 
     717*T1^10*T2^9 + 5675*T1^11*T2^9 - 1257*T1^12*T2^9 - 48*T1^4*T2^10 + 
     1503*T1^5*T2^10 - 8074*T1^6*T2^10 + 16443*T1^7*T2^10 - 
     13114*T1^8*T2^10 - 717*T1^9*T2^10 + 9086*T1^10*T2^10 - 
     5427*T1^11*T2^10 + 942*T1^12*T2^10 - 168*T1^5*T2^11 + 821*T1^6*T2^11 - 
     639*T1^7*T2^11 - 2389*T1^8*T2^11 + 5675*T1^9*T2^11 - 5427*T1^10*T2^11 + 
     2333*T1^11*T2^11 - 357*T1^12*T2^11 + 51*T1^6*T2^12 - 357*T1^7*T2^12 + 
     942*T1^8*T2^12 - 1257*T1^9*T2^12 + 942*T1^10*T2^12 - 357*T1^11*T2^12 + 
     51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1174] -> 
  {(2 - 8*T + 18*T^2 - 28*T^3 + 33*T^4 - 28*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-33 + 132*T1 - 297*T1^2 + 462*T1^3 - 545*T1^4 + 462*T1^5 - 
     297*T1^6 + 132*T1^7 - 33*T1^8 + 132*T2 - 428*T1*T2 + 788*T1^2*T2 - 
     948*T1^3*T2 + 780*T1^4*T2 - 196*T1^5*T2 - 212*T1^6*T2 + 372*T1^7*T2 - 
     268*T1^8*T2 + 100*T1^9*T2 - 297*T2^2 + 788*T1*T2^2 - 1218*T1^2*T2^2 + 
     1154*T1^3*T2^2 - 674*T1^4*T2^2 - 304*T1^5*T2^2 + 406*T1^6*T2^2 - 
     286*T1^7*T2^2 - 66*T1^8*T2^2 + 212*T1^9*T2^2 - 153*T1^10*T2^2 + 
     462*T2^3 - 948*T1*T2^3 + 1154*T1^2*T2^3 - 690*T1^3*T2^3 + 94*T1^4*T2^3 + 
     914*T1^5*T2^3 - 142*T1^6*T2^3 - 170*T1^7*T2^3 + 606*T1^8*T2^3 - 
     430*T1^9*T2^3 + 108*T1^10*T2^3 + 126*T1^11*T2^3 - 545*T2^4 + 
     780*T1*T2^4 - 674*T1^2*T2^4 + 94*T1^3*T2^4 + 73*T1^4*T2^4 - 
     713*T1^5*T2^4 - 971*T1^6*T2^4 + 727*T1^7*T2^4 - 703*T1^8*T2^4 - 
     130*T1^9*T2^4 + 494*T1^10*T2^4 - 436*T1^11*T2^4 - 17*T1^12*T2^4 + 
     462*T2^5 - 196*T1*T2^5 - 304*T1^2*T2^5 + 914*T1^3*T2^5 - 713*T1^4*T2^5 + 
     1026*T1^5*T2^5 + 1309*T1^6*T2^5 - 283*T1^7*T2^5 + 138*T1^8*T2^5 + 
     703*T1^9*T2^5 - 462*T1^10*T2^5 - 16*T1^11*T2^5 + 460*T1^12*T2^5 - 
     98*T1^13*T2^5 - 297*T2^6 - 212*T1*T2^6 + 406*T1^2*T2^6 - 142*T1^3*T2^6 - 
     971*T1^4*T2^6 + 1309*T1^5*T2^6 - 3456*T1^6*T2^6 + 860*T1^7*T2^6 - 
     100*T1^8*T2^6 - 723*T1^9*T2^6 + 77*T1^10*T2^6 + 434*T1^11*T2^6 - 
     498*T1^12*T2^6 - 148*T1^13*T2^6 + 135*T1^14*T2^6 + 132*T2^7 + 
     372*T1*T2^7 - 286*T1^2*T2^7 - 170*T1^3*T2^7 + 727*T1^4*T2^7 - 
     283*T1^5*T2^7 + 860*T1^6*T2^7 + 2402*T1^7*T2^7 - 2010*T1^8*T2^7 + 
     956*T1^9*T2^7 + 429*T1^10*T2^7 - 785*T1^11*T2^7 + 254*T1^12*T2^7 + 
     434*T1^13*T2^7 - 172*T1^14*T2^7 - 92*T1^15*T2^7 - 33*T2^8 - 
     268*T1*T2^8 - 66*T1^2*T2^8 + 606*T1^3*T2^8 - 703*T1^4*T2^8 + 
     138*T1^5*T2^8 - 100*T1^6*T2^8 - 2010*T1^7*T2^8 + 300*T1^8*T2^8 + 
     1478*T1^9*T2^8 - 1460*T1^10*T2^8 + 714*T1^11*T2^8 + 385*T1^12*T2^8 - 
     610*T1^13*T2^8 + 30*T1^14*T2^8 + 244*T1^15*T2^8 + 31*T1^16*T2^8 + 
     100*T1*T2^9 + 212*T1^2*T2^9 - 430*T1^3*T2^9 - 130*T1^4*T2^9 + 
     703*T1^5*T2^9 - 723*T1^6*T2^9 + 956*T1^7*T2^9 + 1478*T1^8*T2^9 - 
     2934*T1^9*T2^9 + 1052*T1^10*T2^9 - 11*T1^11*T2^9 - 809*T1^12*T2^9 + 
     294*T1^13*T2^9 + 290*T1^14*T2^9 - 332*T1^15*T2^9 - 124*T1^16*T2^9 - 
     153*T1^2*T2^10 + 108*T1^3*T2^10 + 494*T1^4*T2^10 - 462*T1^5*T2^10 + 
     77*T1^6*T2^10 + 429*T1^7*T2^10 - 1460*T1^8*T2^10 + 1052*T1^9*T2^10 + 
     1896*T1^10*T2^10 - 1603*T1^11*T2^10 + 1125*T1^12*T2^10 + 
     114*T1^13*T2^10 - 410*T1^14*T2^10 + 172*T1^15*T2^10 + 279*T1^16*T2^10 + 
     126*T1^3*T2^11 - 436*T1^4*T2^11 - 16*T1^5*T2^11 + 434*T1^6*T2^11 - 
     785*T1^7*T2^11 + 714*T1^8*T2^11 - 11*T1^9*T2^11 - 1603*T1^10*T2^11 - 
     174*T1^11*T2^11 + 631*T1^12*T2^11 - 942*T1^13*T2^11 + 272*T1^14*T2^11 + 
     220*T1^15*T2^11 - 434*T1^16*T2^11 - 17*T1^4*T2^12 + 460*T1^5*T2^12 - 
     498*T1^6*T2^12 + 254*T1^7*T2^12 + 385*T1^8*T2^12 - 809*T1^9*T2^12 + 
     1125*T1^10*T2^12 + 631*T1^11*T2^12 - 391*T1^12*T2^12 + 30*T1^13*T2^12 + 
     670*T1^14*T2^12 - 756*T1^15*T2^12 + 511*T1^16*T2^12 - 98*T1^5*T2^13 - 
     148*T1^6*T2^13 + 434*T1^7*T2^13 - 610*T1^8*T2^13 + 294*T1^9*T2^13 + 
     114*T1^10*T2^13 - 942*T1^11*T2^13 + 30*T1^12*T2^13 + 686*T1^13*T2^13 - 
     1150*T1^14*T2^13 + 908*T1^15*T2^13 - 434*T1^16*T2^13 + 135*T1^6*T2^14 - 
     172*T1^7*T2^14 + 30*T1^8*T2^14 + 290*T1^9*T2^14 - 410*T1^10*T2^14 + 
     272*T1^11*T2^14 + 670*T1^12*T2^14 - 1150*T1^13*T2^14 + 
     1182*T1^14*T2^14 - 748*T1^15*T2^14 + 279*T1^16*T2^14 - 92*T1^7*T2^15 + 
     244*T1^8*T2^15 - 332*T1^9*T2^15 + 172*T1^10*T2^15 + 220*T1^11*T2^15 - 
     756*T1^12*T2^15 + 908*T1^13*T2^15 - 748*T1^14*T2^15 + 404*T1^15*T2^15 - 
     124*T1^16*T2^15 + 31*T1^8*T2^16 - 124*T1^9*T2^16 + 279*T1^10*T2^16 - 
     434*T1^11*T2^16 + 511*T1^12*T2^16 - 434*T1^13*T2^16 + 279*T1^14*T2^16 - 
     124*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1175] -> 
  {-((2 - 10*T + 26*T^2 - 46*T^3 + 55*T^4 - 46*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 204*T1 - 529*T1^2 + 934*T1^3 - 1115*T1^4 + 934*T1^5 - 
      529*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1820*T1^2*T2 - 
      2539*T1^3*T2 + 1823*T1^4*T2 - 197*T1^5*T2 - 1099*T1^6*T2 + 
      1100*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 529*T2^2 + 1820*T1*T2^2 - 
      3089*T1^2*T2^2 + 3098*T1^3*T2^2 + 124*T1^4*T2^2 - 2937*T1^5*T2^2 + 
      3140*T1^6*T2^2 - 646*T1^7*T2^2 - 593*T1^8*T2^2 + 780*T1^9*T2^2 - 
      321*T1^10*T2^2 + 934*T2^3 - 2539*T1*T2^3 + 3098*T1^2*T2^3 - 
      1430*T1^3*T2^3 - 4274*T1^4*T2^3 + 4985*T1^5*T2^3 - 1403*T1^6*T2^3 - 
      3494*T1^7*T2^3 + 2458*T1^8*T2^3 - 958*T1^9*T2^3 - 299*T1^10*T2^3 + 
      382*T1^11*T2^3 - 1115*T2^4 + 1823*T1*T2^4 + 124*T1^2*T2^4 - 
      4274*T1^3*T2^4 + 10703*T1^4*T2^4 - 5174*T1^5*T2^4 - 2045*T1^6*T2^4 + 
      5666*T1^7*T2^4 + 903*T1^8*T2^4 - 2434*T1^9*T2^4 + 2364*T1^10*T2^4 - 
      737*T1^11*T2^4 - 235*T1^12*T2^4 + 934*T2^5 - 197*T1*T2^5 - 
      2937*T1^2*T2^5 + 4985*T1^3*T2^5 - 5174*T1^4*T2^5 - 8962*T1^5*T2^5 + 
      12516*T1^6*T2^5 - 6040*T1^7*T2^5 - 8020*T1^8*T2^5 + 5670*T1^9*T2^5 - 
      2403*T1^10*T2^5 - 789*T1^11*T2^5 + 1103*T1^12*T2^5 + 14*T1^13*T2^5 - 
      529*T2^6 - 1099*T1*T2^6 + 3140*T1^2*T2^6 - 1403*T1^3*T2^6 - 
      2045*T1^4*T2^6 + 12516*T1^5*T2^6 - 311*T1^6*T2^6 - 15591*T1^7*T2^6 + 
      23877*T1^8*T2^6 - 7276*T1^9*T2^6 - 885*T1^10*T2^6 + 3485*T1^11*T2^6 - 
      1428*T1^12*T2^6 - 539*T1^13*T2^6 + 95*T1^14*T2^6 + 204*T2^7 + 
      1100*T1*T2^7 - 646*T1^2*T2^7 - 3494*T1^3*T2^7 + 5666*T1^4*T2^7 - 
      6040*T1^5*T2^7 - 15591*T1^6*T2^7 + 25458*T1^7*T2^7 - 16856*T1^8*T2^7 - 
      7891*T1^9*T2^7 + 10044*T1^10*T2^7 - 5162*T1^11*T2^7 - 34*T1^12*T2^7 + 
      1538*T1^13*T2^7 - 100*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 593*T1^2*T2^8 + 2458*T1^3*T2^8 + 903*T1^4*T2^8 - 
      8020*T1^5*T2^8 + 23877*T1^6*T2^8 - 16856*T1^7*T2^8 - 4872*T1^8*T2^8 + 
      22608*T1^9*T2^8 - 11931*T1^10*T2^8 + 692*T1^11*T2^8 + 3047*T1^12*T2^8 - 
      1990*T1^13*T2^8 - 353*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 780*T1^2*T2^9 - 958*T1^3*T2^9 - 2434*T1^4*T2^9 + 
      5670*T1^5*T2^9 - 7276*T1^6*T2^9 - 7891*T1^7*T2^9 + 22608*T1^8*T2^9 - 
      19706*T1^9*T2^9 - 191*T1^10*T2^9 + 8808*T1^11*T2^9 - 5158*T1^12*T2^9 + 
      1026*T1^13*T2^9 + 1226*T1^14*T2^9 - 420*T1^15*T2^9 - 116*T1^16*T2^9 - 
      321*T1^2*T2^10 - 299*T1^3*T2^10 + 2364*T1^4*T2^10 - 2403*T1^5*T2^10 - 
      885*T1^6*T2^10 + 10044*T1^7*T2^10 - 11931*T1^8*T2^10 - 191*T1^9*T2^10 + 
      12257*T1^10*T2^10 - 9748*T1^11*T2^10 + 275*T1^12*T2^10 + 
      2485*T1^13*T2^10 - 2204*T1^14*T2^10 + 261*T1^15*T2^10 + 
      303*T1^16*T2^10 + 382*T1^3*T2^11 - 737*T1^4*T2^11 - 789*T1^5*T2^11 + 
      3485*T1^6*T2^11 - 5162*T1^7*T2^11 + 692*T1^8*T2^11 + 8808*T1^9*T2^11 - 
      9748*T1^10*T2^11 + 1634*T1^11*T2^11 + 5682*T1^12*T2^11 - 
      3903*T1^13*T2^11 + 1359*T1^14*T2^11 + 563*T1^15*T2^11 - 
      538*T1^16*T2^11 - 235*T1^4*T2^12 + 1103*T1^5*T2^12 - 1428*T1^6*T2^12 - 
      34*T1^7*T2^12 + 3047*T1^8*T2^12 - 5158*T1^9*T2^12 + 275*T1^10*T2^12 + 
      5682*T1^11*T2^12 - 6753*T1^12*T2^12 + 1806*T1^13*T2^12 + 
      812*T1^14*T2^12 - 1457*T1^15*T2^12 + 645*T1^16*T2^12 + 14*T1^5*T2^13 - 
      539*T1^6*T2^13 + 1538*T1^7*T2^13 - 1990*T1^8*T2^13 + 1026*T1^9*T2^13 + 
      2485*T1^10*T2^13 - 3903*T1^11*T2^13 + 1806*T1^12*T2^13 + 
      1898*T1^13*T2^13 - 2518*T1^14*T2^13 + 1701*T1^15*T2^13 - 
      538*T1^16*T2^13 + 95*T1^6*T2^14 - 100*T1^7*T2^14 - 353*T1^8*T2^14 + 
      1226*T1^9*T2^14 - 2204*T1^10*T2^14 + 1359*T1^11*T2^14 + 
      812*T1^12*T2^14 - 2518*T1^13*T2^14 + 2143*T1^14*T2^14 - 
      1140*T1^15*T2^14 + 303*T1^16*T2^14 - 76*T1^7*T2^15 + 268*T1^8*T2^15 - 
      420*T1^9*T2^15 + 261*T1^10*T2^15 + 563*T1^11*T2^15 - 1457*T1^12*T2^15 + 
      1701*T1^13*T2^15 - 1140*T1^14*T2^15 + 508*T1^15*T2^15 - 
      116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 303*T1^10*T2^16 - 
      538*T1^11*T2^16 + 645*T1^12*T2^16 - 538*T1^13*T2^16 + 303*T1^14*T2^16 - 
      116*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1176] -> 
  {(1 - 4*T + 9*T^2 - 15*T^3 + 20*T^4 - 21*T^5 + 20*T^6 - 15*T^7 + 9*T^8 - 
     4*T^9 + T^10)/T^5, (-4 + 16*T1 - 36*T1^2 + 60*T1^3 - 80*T1^4 + 84*T1^5 - 
     80*T1^6 + 60*T1^7 - 36*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 
     96*T1^2*T2 - 132*T1^3*T2 + 140*T1^4*T2 - 96*T1^5*T2 + 68*T1^6*T2 - 
     36*T1^8*T2 + 44*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 36*T2^2 + 
     96*T1*T2^2 - 149*T1^2*T2^2 + 178*T1^3*T2^2 - 161*T1^4*T2^2 + 
     71*T1^5*T2^2 - 81*T1^6*T2^2 - 37*T1^7*T2^2 + 37*T1^8*T2^2 - 
     20*T1^9*T2^2 - 5*T1^10*T2^2 + 24*T1^11*T2^2 - 18*T1^12*T2^2 + 60*T2^3 - 
     132*T1*T2^3 + 178*T1^2*T2^3 - 201*T1^3*T2^3 + 176*T1^4*T2^3 - 
     70*T1^5*T2^3 + 164*T1^6*T2^3 + 65*T1^7*T2^3 + 20*T1^8*T2^3 - 
     40*T1^9*T2^3 + 51*T1^10*T2^3 - 47*T1^11*T2^3 + 12*T1^12*T2^3 + 
     15*T1^13*T2^3 - 80*T2^4 + 140*T1*T2^4 - 161*T1^2*T2^4 + 176*T1^3*T2^4 - 
     140*T1^4*T2^4 + 17*T1^5*T2^4 - 173*T1^6*T2^4 - 236*T1^7*T2^4 - 
     13*T1^8*T2^4 - 23*T1^9*T2^4 + 60*T1^10*T2^4 - 64*T1^11*T2^4 + 
     79*T1^12*T2^4 - 60*T1^13*T2^4 + 84*T2^5 - 96*T1*T2^5 + 71*T1^2*T2^5 - 
     70*T1^3*T2^5 + 17*T1^4*T2^5 + 104*T1^5*T2^5 + 104*T1^6*T2^5 + 
     437*T1^7*T2^5 + 92*T1^8*T2^5 + 59*T1^9*T2^5 - 106*T1^10*T2^5 + 
     2*T1^11*T2^5 + 20*T1^12*T2^5 - 49*T1^13*T2^5 + 84*T1^14*T2^5 - 
     21*T1^15*T2^5 - 80*T2^6 + 68*T1*T2^6 - 81*T1^2*T2^6 + 164*T1^3*T2^6 - 
     173*T1^4*T2^6 + 104*T1^5*T2^6 - 308*T1^6*T2^6 - 366*T1^7*T2^6 - 
     318*T1^8*T2^6 - 150*T1^9*T2^6 + 220*T1^10*T2^6 + 8*T1^11*T2^6 + 
     67*T1^12*T2^6 - 52*T1^13*T2^6 + 15*T1^14*T2^6 - 76*T1^15*T2^6 + 
     40*T1^16*T2^6 + 60*T2^7 - 37*T1^2*T2^7 + 65*T1^3*T2^7 - 236*T1^4*T2^7 + 
     437*T1^5*T2^7 - 366*T1^6*T2^7 + 1012*T1^7*T2^7 - 77*T1^8*T2^7 + 
     613*T1^9*T2^7 - 398*T1^10*T2^7 - 74*T1^11*T2^7 - 186*T1^12*T2^7 + 
     61*T1^13*T2^7 + 8*T1^14*T2^7 + 51*T1^15*T2^7 + 20*T1^16*T2^7 - 
     45*T1^17*T2^7 - 36*T2^8 - 36*T1*T2^8 + 37*T1^2*T2^8 + 20*T1^3*T2^8 - 
     13*T1^4*T2^8 + 92*T1^5*T2^8 - 318*T1^6*T2^8 - 77*T1^7*T2^8 - 
     782*T1^8*T2^8 - 106*T1^9*T2^8 - 26*T1^10*T2^8 + 373*T1^11*T2^8 + 
     312*T1^12*T2^8 + 20*T1^13*T2^8 - 13*T1^14*T2^8 - 70*T1^15*T2^8 - 
     35*T1^16*T2^8 + 36*T1^17*T2^8 + 36*T1^18*T2^8 + 16*T2^9 + 44*T1*T2^9 - 
     20*T1^2*T2^9 - 40*T1^3*T2^9 - 23*T1^4*T2^9 + 59*T1^5*T2^9 - 
     150*T1^6*T2^9 + 613*T1^7*T2^9 - 106*T1^8*T2^9 + 859*T1^9*T2^9 - 
     317*T1^10*T2^9 - 298*T1^11*T2^9 - 557*T1^12*T2^9 - 138*T1^13*T2^9 - 
     100*T1^14*T2^9 + 142*T1^15*T2^9 + 32*T1^16*T2^9 - 11*T1^17*T2^9 - 
     64*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 5*T1^2*T2^10 + 
     51*T1^3*T2^10 + 60*T1^4*T2^10 - 106*T1^5*T2^10 + 220*T1^6*T2^10 - 
     398*T1^7*T2^10 - 26*T1^8*T2^10 - 317*T1^9*T2^10 - 120*T1^10*T2^10 + 
     421*T1^11*T2^10 + 878*T1^12*T2^10 + 106*T1^13*T2^10 + 352*T1^14*T2^10 - 
     146*T1^15*T2^10 - 86*T1^16*T2^10 + 9*T1^17*T2^10 + 59*T1^18*T2^10 + 
     56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 24*T1^2*T2^11 - 
     47*T1^3*T2^11 - 64*T1^4*T2^11 + 2*T1^5*T2^11 + 8*T1^6*T2^11 - 
     74*T1^7*T2^11 + 373*T1^8*T2^11 - 298*T1^9*T2^11 + 421*T1^10*T2^11 - 
     755*T1^11*T2^11 - 490*T1^12*T2^11 - 797*T1^13*T2^11 - 62*T1^14*T2^11 - 
     151*T1^15*T2^11 + 167*T1^16*T2^11 + 8*T1^17*T2^11 - 38*T1^18*T2^11 - 
     84*T1^19*T2^11 - 24*T1^20*T2^11 - 18*T1^2*T2^12 + 12*T1^3*T2^12 + 
     79*T1^4*T2^12 + 20*T1^5*T2^12 + 67*T1^6*T2^12 - 186*T1^7*T2^12 + 
     312*T1^8*T2^12 - 557*T1^9*T2^12 + 878*T1^10*T2^12 - 490*T1^11*T2^12 + 
     1634*T1^12*T2^12 - 107*T1^13*T2^12 + 942*T1^14*T2^12 - 258*T1^15*T2^12 + 
     67*T1^16*T2^12 - 70*T1^17*T2^12 + 7*T1^18*T2^12 + 84*T1^19*T2^12 + 
     54*T1^20*T2^12 + 15*T1^3*T2^13 - 60*T1^4*T2^13 - 49*T1^5*T2^13 - 
     52*T1^6*T2^13 + 61*T1^7*T2^13 + 20*T1^8*T2^13 - 138*T1^9*T2^13 + 
     106*T1^10*T2^13 - 797*T1^11*T2^13 - 107*T1^12*T2^13 - 1304*T1^13*T2^13 + 
     154*T1^14*T2^13 - 603*T1^15*T2^13 + 358*T1^16*T2^13 - 109*T1^17*T2^13 + 
     39*T1^18*T2^13 - 40*T1^19*T2^13 - 90*T1^20*T2^13 + 84*T1^5*T2^14 + 
     15*T1^6*T2^14 + 8*T1^7*T2^14 - 13*T1^8*T2^14 - 100*T1^9*T2^14 + 
     352*T1^10*T2^14 - 62*T1^11*T2^14 + 942*T1^12*T2^14 + 154*T1^13*T2^14 + 
     880*T1^14*T2^14 - 196*T1^15*T2^14 + 227*T1^16*T2^14 - 208*T1^17*T2^14 + 
     111*T1^18*T2^14 - 60*T1^19*T2^14 + 120*T1^20*T2^14 - 21*T1^5*T2^15 - 
     76*T1^6*T2^15 + 51*T1^7*T2^15 - 70*T1^8*T2^15 + 142*T1^9*T2^15 - 
     146*T1^10*T2^15 - 151*T1^11*T2^15 - 258*T1^12*T2^15 - 603*T1^13*T2^15 - 
     196*T1^14*T2^15 - 356*T1^15*T2^15 + 127*T1^16*T2^15 + 20*T1^17*T2^15 - 
     69*T1^18*T2^15 + 104*T1^19*T2^15 - 126*T1^20*T2^15 + 40*T1^6*T2^16 + 
     20*T1^7*T2^16 - 35*T1^8*T2^16 + 32*T1^9*T2^16 - 86*T1^10*T2^16 + 
     167*T1^11*T2^16 + 67*T1^12*T2^16 + 358*T1^13*T2^16 + 227*T1^14*T2^16 + 
     127*T1^15*T2^16 + 114*T1^16*T2^16 - 208*T1^17*T2^16 + 205*T1^18*T2^16 - 
     180*T1^19*T2^16 + 120*T1^20*T2^16 - 45*T1^7*T2^17 + 36*T1^8*T2^17 - 
     11*T1^9*T2^17 + 9*T1^10*T2^17 + 8*T1^11*T2^17 - 70*T1^12*T2^17 - 
     109*T1^13*T2^17 - 208*T1^14*T2^17 + 20*T1^15*T2^17 - 208*T1^16*T2^17 + 
     261*T1^17*T2^17 - 236*T1^18*T2^17 + 180*T1^19*T2^17 - 90*T1^20*T2^17 + 
     36*T1^8*T2^18 - 64*T1^9*T2^18 + 59*T1^10*T2^18 - 38*T1^11*T2^18 + 
     7*T1^12*T2^18 + 39*T1^13*T2^18 + 111*T1^14*T2^18 - 69*T1^15*T2^18 + 
     205*T1^16*T2^18 - 236*T1^17*T2^18 + 203*T1^18*T2^18 - 136*T1^19*T2^18 + 
     54*T1^20*T2^18 - 20*T1^9*T2^19 + 56*T1^10*T2^19 - 84*T1^11*T2^19 + 
     84*T1^12*T2^19 - 40*T1^13*T2^19 - 60*T1^14*T2^19 + 104*T1^15*T2^19 - 
     180*T1^16*T2^19 + 180*T1^17*T2^19 - 136*T1^18*T2^19 + 76*T1^19*T2^19 - 
     24*T1^20*T2^19 + 6*T1^10*T2^20 - 24*T1^11*T2^20 + 54*T1^12*T2^20 - 
     90*T1^13*T2^20 + 120*T1^14*T2^20 - 126*T1^15*T2^20 + 120*T1^16*T2^20 - 
     90*T1^17*T2^20 + 54*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1177] -> 
  {(2 - 9*T + 22*T^2 - 38*T^3 + 47*T^4 - 38*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 140*T1 - 343*T1^2 + 593*T1^3 - 733*T1^4 + 593*T1^5 - 
     343*T1^6 + 140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 1078*T1^2*T2 - 
     1524*T1^3*T2 + 1316*T1^4*T2 - 214*T1^5*T2 - 444*T1^6*T2 + 520*T1^7*T2 - 
     330*T1^8*T2 + 104*T1^9*T2 - 343*T2^2 + 1078*T1*T2^2 - 1827*T1^2*T2^2 + 
     2083*T1^3*T2^2 - 914*T1^4*T2^2 - 1415*T1^5*T2^2 + 1286*T1^6*T2^2 - 
     469*T1^7*T2^2 - 67*T1^8*T2^2 + 286*T1^9*T2^2 - 167*T1^10*T2^2 + 
     593*T2^3 - 1524*T1*T2^3 + 2083*T1^2*T2^3 - 1822*T1^3*T2^3 - 
     341*T1^4*T2^3 + 2980*T1^5*T2^3 - 170*T1^6*T2^3 - 1229*T1^7*T2^3 + 
     1160*T1^8*T2^3 - 755*T1^9*T2^3 + 132*T1^10*T2^3 + 137*T1^11*T2^3 - 
     733*T2^4 + 1316*T1*T2^4 - 914*T1^2*T2^4 - 341*T1^3*T2^4 + 
     3239*T1^4*T2^4 - 4670*T1^5*T2^4 - 1705*T1^6*T2^4 + 1526*T1^7*T2^4 + 
     323*T1^8*T2^4 - 949*T1^9*T2^4 + 1202*T1^10*T2^4 - 700*T1^11*T2^4 + 
     19*T1^12*T2^4 + 593*T2^5 - 214*T1*T2^5 - 1415*T1^2*T2^5 + 
     2980*T1^3*T2^5 - 4670*T1^4*T2^5 + 2521*T1^5*T2^5 + 5964*T1^6*T2^5 - 
     736*T1^7*T2^5 - 3183*T1^8*T2^5 + 2314*T1^9*T2^5 - 1302*T1^10*T2^5 - 
     26*T1^11*T2^5 + 668*T1^12*T2^5 - 167*T1^13*T2^5 - 343*T2^6 - 
     444*T1*T2^6 + 1286*T1^2*T2^6 - 170*T1^3*T2^6 - 1705*T1^4*T2^6 + 
     5964*T1^5*T2^6 - 9485*T1^6*T2^6 - 3961*T1^7*T2^6 + 7823*T1^8*T2^6 - 
     2480*T1^9*T2^6 + 79*T1^10*T2^6 + 1282*T1^11*T2^6 - 1082*T1^12*T2^6 - 
     84*T1^13*T2^6 + 185*T1^14*T2^6 + 140*T2^7 + 520*T1*T2^7 - 
     469*T1^2*T2^7 - 1229*T1^3*T2^7 + 1526*T1^4*T2^7 - 736*T1^5*T2^7 - 
     3961*T1^6*T2^7 + 17678*T1^7*T2^7 - 12956*T1^8*T2^7 - 421*T1^9*T2^7 + 
     2476*T1^10*T2^7 - 2306*T1^11*T2^7 + 779*T1^12*T2^7 + 653*T1^13*T2^7 - 
     326*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 - 67*T1^2*T2^8 + 
     1160*T1^3*T2^8 + 323*T1^4*T2^8 - 3183*T1^5*T2^8 + 7823*T1^6*T2^8 - 
     12956*T1^7*T2^8 + 960*T1^8*T2^8 + 12532*T1^9*T2^8 - 6573*T1^10*T2^8 + 
     2635*T1^11*T2^8 - 41*T1^12*T2^8 - 1012*T1^13*T2^8 + 135*T1^14*T2^8 + 
     354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 286*T1^2*T2^9 - 
     755*T1^3*T2^9 - 949*T1^4*T2^9 + 2314*T1^5*T2^9 - 2480*T1^6*T2^9 - 
     421*T1^7*T2^9 + 12532*T1^8*T2^9 - 18102*T1^9*T2^9 + 3119*T1^10*T2^9 + 
     732*T1^11*T2^9 - 1518*T1^12*T2^9 + 1059*T1^13*T2^9 + 367*T1^14*T2^9 - 
     560*T1^15*T2^9 - 148*T1^16*T2^9 - 167*T1^2*T2^10 + 132*T1^3*T2^10 + 
     1202*T1^4*T2^10 - 1302*T1^5*T2^10 + 79*T1^6*T2^10 + 2476*T1^7*T2^10 - 
     6573*T1^8*T2^10 + 3119*T1^9*T2^10 + 10735*T1^10*T2^10 - 
     5968*T1^11*T2^10 + 1863*T1^12*T2^10 + 150*T1^13*T2^10 - 
     1166*T1^14*T2^10 + 492*T1^15*T2^10 + 361*T1^16*T2^10 + 137*T1^3*T2^11 - 
     700*T1^4*T2^11 - 26*T1^5*T2^11 + 1282*T1^6*T2^11 - 2306*T1^7*T2^11 + 
     2635*T1^8*T2^11 + 732*T1^9*T2^11 - 5968*T1^10*T2^11 - 3069*T1^11*T2^11 + 
     4678*T1^12*T2^11 - 3000*T1^13*T2^11 + 1363*T1^14*T2^11 + 
     182*T1^15*T2^11 - 623*T1^16*T2^11 + 19*T1^4*T2^12 + 668*T1^5*T2^12 - 
     1082*T1^6*T2^12 + 779*T1^7*T2^12 - 41*T1^8*T2^12 - 1518*T1^9*T2^12 + 
     1863*T1^10*T2^12 + 4678*T1^11*T2^12 - 2957*T1^12*T2^12 + 
     171*T1^13*T2^12 + 1034*T1^14*T2^12 - 1348*T1^15*T2^12 + 
     771*T1^16*T2^12 - 167*T1^5*T2^13 - 84*T1^6*T2^13 + 653*T1^7*T2^13 - 
     1012*T1^8*T2^13 + 1059*T1^9*T2^13 + 150*T1^10*T2^13 - 3000*T1^11*T2^13 + 
     171*T1^12*T2^13 + 1970*T1^13*T2^13 - 2185*T1^14*T2^13 + 
     1572*T1^15*T2^13 - 623*T1^16*T2^13 + 185*T1^6*T2^14 - 326*T1^7*T2^14 + 
     135*T1^8*T2^14 + 367*T1^9*T2^14 - 1166*T1^10*T2^14 + 1363*T1^11*T2^14 + 
     1034*T1^12*T2^14 - 2185*T1^13*T2^14 + 1895*T1^14*T2^14 - 
     1118*T1^15*T2^14 + 361*T1^16*T2^14 - 112*T1^7*T2^15 + 354*T1^8*T2^15 - 
     560*T1^9*T2^15 + 492*T1^10*T2^15 + 182*T1^11*T2^15 - 1348*T1^12*T2^15 + 
     1572*T1^13*T2^15 - 1118*T1^14*T2^15 + 552*T1^15*T2^15 - 
     148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 361*T1^10*T2^16 - 
     623*T1^11*T2^16 + 771*T1^12*T2^16 - 623*T1^13*T2^16 + 361*T1^14*T2^16 - 
     148*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1178] -> 
  {(2 - 9*T + 20*T^2 - 31*T^3 + 37*T^4 - 31*T^5 + 20*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-31 + 140*T1 - 311*T1^2 + 481*T1^3 - 573*T1^4 + 481*T1^5 - 
     311*T1^6 + 140*T1^7 - 31*T1^8 + 140*T2 - 528*T1*T2 + 934*T1^2*T2 - 
     1128*T1^3*T2 + 974*T1^4*T2 - 250*T1^5*T2 - 210*T1^6*T2 + 412*T1^7*T2 - 
     330*T1^8*T2 + 104*T1^9*T2 - 311*T2^2 + 934*T1*T2^2 - 1145*T1^2*T2^2 + 
     783*T1^3*T2^2 + 55*T1^4*T2^2 - 1557*T1^5*T2^2 + 1415*T1^6*T2^2 - 
     977*T1^7*T2^2 + 295*T1^8*T2^2 + 214*T1^9*T2^2 - 151*T1^10*T2^2 + 
     481*T2^3 - 1128*T1*T2^3 + 783*T1^2*T2^3 + 64*T1^3*T2^3 - 
     1019*T1^4*T2^3 + 2365*T1^5*T2^3 - 389*T1^6*T2^3 - 395*T1^7*T2^3 + 
     982*T1^8*T2^3 - 957*T1^9*T2^3 + 186*T1^10*T2^3 + 109*T1^11*T2^3 - 
     573*T2^4 + 974*T1*T2^4 + 55*T1^2*T2^4 - 1019*T1^3*T2^4 + 
     1623*T1^4*T2^4 - 2436*T1^5*T2^4 - 989*T1^6*T2^4 + 538*T1^7*T2^4 - 
     293*T1^8*T2^4 - 151*T1^9*T2^4 + 953*T1^10*T2^4 - 574*T1^11*T2^4 + 
     19*T1^12*T2^4 + 481*T2^5 - 250*T1*T2^5 - 1557*T1^2*T2^5 + 
     2365*T1^3*T2^5 - 2436*T1^4*T2^5 + 2601*T1^5*T2^5 + 1263*T1^6*T2^5 + 
     1062*T1^7*T2^5 - 1503*T1^8*T2^5 + 1081*T1^9*T2^5 - 1185*T1^10*T2^5 - 
     6*T1^11*T2^5 + 542*T1^12*T2^5 - 139*T1^13*T2^5 - 311*T2^6 - 
     210*T1*T2^6 + 1415*T1^2*T2^6 - 389*T1^3*T2^6 - 989*T1^4*T2^6 + 
     1263*T1^5*T2^6 - 3615*T1^6*T2^6 - 901*T1^7*T2^6 + 1313*T1^8*T2^6 + 
     323*T1^9*T2^6 - 65*T1^10*T2^6 + 1171*T1^11*T2^6 - 869*T1^12*T2^6 - 
     138*T1^13*T2^6 + 169*T1^14*T2^6 + 140*T2^7 + 412*T1*T2^7 - 
     977*T1^2*T2^7 - 395*T1^3*T2^7 + 538*T1^4*T2^7 + 1062*T1^5*T2^7 - 
     901*T1^6*T2^7 + 4777*T1^7*T2^7 - 3073*T1^8*T2^7 - 784*T1^9*T2^7 - 
     215*T1^10*T2^7 - 807*T1^11*T2^7 - 43*T1^12*T2^7 + 883*T1^13*T2^7 - 
     254*T1^14*T2^7 - 112*T1^15*T2^7 - 31*T2^8 - 330*T1*T2^8 + 
     295*T1^2*T2^8 + 982*T1^3*T2^8 - 293*T1^4*T2^8 - 1503*T1^5*T2^8 + 
     1313*T1^6*T2^8 - 3073*T1^7*T2^8 + 768*T1^8*T2^8 + 2861*T1^9*T2^8 + 
     603*T1^10*T2^8 + 483*T1^11*T2^8 + 527*T1^12*T2^8 - 846*T1^13*T2^8 - 
     239*T1^14*T2^8 + 354*T1^15*T2^8 + 33*T1^16*T2^8 + 104*T1*T2^9 + 
     214*T1^2*T2^9 - 957*T1^3*T2^9 - 151*T1^4*T2^9 + 1081*T1^5*T2^9 + 
     323*T1^6*T2^9 - 784*T1^7*T2^9 + 2861*T1^8*T2^9 - 4989*T1^9*T2^9 - 
     667*T1^10*T2^9 - 954*T1^11*T2^9 - 264*T1^12*T2^9 + 201*T1^13*T2^9 + 
     903*T1^14*T2^9 - 452*T1^15*T2^9 - 148*T1^16*T2^9 - 151*T1^2*T2^10 + 
     186*T1^3*T2^10 + 953*T1^4*T2^10 - 1185*T1^5*T2^10 - 65*T1^6*T2^10 - 
     215*T1^7*T2^10 + 603*T1^8*T2^10 - 667*T1^9*T2^10 + 5531*T1^10*T2^10 - 
     1155*T1^11*T2^10 + 859*T1^12*T2^10 + 375*T1^13*T2^10 - 
     1331*T1^14*T2^10 + 258*T1^15*T2^10 + 329*T1^16*T2^10 + 109*T1^3*T2^11 - 
     574*T1^4*T2^11 - 6*T1^5*T2^11 + 1171*T1^6*T2^11 - 807*T1^7*T2^11 + 
     483*T1^8*T2^11 - 954*T1^9*T2^11 - 1155*T1^10*T2^11 - 3621*T1^11*T2^11 + 
     2710*T1^12*T2^11 - 2379*T1^13*T2^11 + 1545*T1^14*T2^11 + 
     218*T1^15*T2^11 - 511*T1^16*T2^11 + 19*T1^4*T2^12 + 542*T1^5*T2^12 - 
     869*T1^6*T2^12 - 43*T1^7*T2^12 + 527*T1^8*T2^12 - 264*T1^9*T2^12 + 
     859*T1^10*T2^12 + 2710*T1^11*T2^12 - 1389*T1^12*T2^12 + 
     825*T1^13*T2^12 + 29*T1^14*T2^12 - 1006*T1^15*T2^12 + 611*T1^16*T2^12 - 
     139*T1^5*T2^13 - 138*T1^6*T2^13 + 883*T1^7*T2^13 - 846*T1^8*T2^13 + 
     201*T1^9*T2^13 + 375*T1^10*T2^13 - 2379*T1^11*T2^13 + 825*T1^12*T2^13 + 
     72*T1^13*T2^13 - 857*T1^14*T2^13 + 1176*T1^15*T2^13 - 511*T1^16*T2^13 + 
     169*T1^6*T2^14 - 254*T1^7*T2^14 - 239*T1^8*T2^14 + 903*T1^9*T2^14 - 
     1331*T1^10*T2^14 + 1545*T1^11*T2^14 + 29*T1^12*T2^14 - 857*T1^13*T2^14 + 
     1201*T1^14*T2^14 - 974*T1^15*T2^14 + 329*T1^16*T2^14 - 112*T1^7*T2^15 + 
     354*T1^8*T2^15 - 452*T1^9*T2^15 + 258*T1^10*T2^15 + 218*T1^11*T2^15 - 
     1006*T1^12*T2^15 + 1176*T1^13*T2^15 - 974*T1^14*T2^15 + 
     552*T1^15*T2^15 - 148*T1^16*T2^15 + 33*T1^8*T2^16 - 148*T1^9*T2^16 + 
     329*T1^10*T2^16 - 511*T1^11*T2^16 + 611*T1^12*T2^16 - 511*T1^13*T2^16 + 
     329*T1^14*T2^16 - 148*T1^15*T2^16 + 33*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1179] -> 
  {(3 - 12*T + 20*T^2 - 21*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-99 + 396*T1 - 656*T1^2 + 687*T1^3 - 656*T1^4 + 396*T1^5 - 99*T1^6 + 
     396*T2 - 1296*T1*T2 + 1472*T1^2*T2 - 844*T1^3*T2 + 632*T1^4*T2 + 
     320*T1^5*T2 - 756*T1^6*T2 + 288*T1^7*T2 - 656*T2^2 + 1472*T1*T2^2 - 
     8*T1^2*T2^2 - 1986*T1^3*T2^2 + 1854*T1^4*T2^2 - 3066*T1^5*T2^2 + 
     2032*T1^6*T2^2 + 32*T1^7*T2^2 - 296*T1^8*T2^2 + 687*T2^3 - 844*T1*T2^3 - 
     1986*T1^2*T2^3 + 3505*T1^3*T2^3 - 1569*T1^4*T2^3 + 2223*T1^5*T2^3 + 
     361*T1^6*T2^3 - 2166*T1^7*T2^3 + 704*T1^8*T2^3 + 120*T1^9*T2^3 - 
     656*T2^4 + 632*T1*T2^4 + 1854*T1^2*T2^4 - 1569*T1^3*T2^4 - 
     1702*T1^4*T2^4 + 650*T1^5*T2^4 - 2158*T1^6*T2^4 + 1959*T1^7*T2^4 + 
     606*T1^8*T2^4 - 736*T1^9*T2^4 + 64*T1^10*T2^4 + 396*T2^5 + 320*T1*T2^5 - 
     3066*T1^2*T2^5 + 2223*T1^3*T2^5 + 650*T1^4*T2^5 + 1726*T1^5*T2^5 - 
     1394*T1^6*T2^5 + 890*T1^7*T2^5 - 2097*T1^8*T2^5 + 714*T1^9*T2^5 + 
     320*T1^10*T2^5 - 144*T1^11*T2^5 - 99*T2^6 - 756*T1*T2^6 + 
     2032*T1^2*T2^6 + 361*T1^3*T2^6 - 2158*T1^4*T2^6 - 1394*T1^5*T2^6 + 
     1164*T1^6*T2^6 + 550*T1^7*T2^6 + 426*T1^8*T2^6 + 1147*T1^9*T2^6 - 
     1400*T1^10*T2^6 + 324*T1^11*T2^6 + 63*T1^12*T2^6 + 288*T1*T2^7 + 
     32*T1^2*T2^7 - 2166*T1^3*T2^7 + 1959*T1^4*T2^7 + 890*T1^5*T2^7 + 
     550*T1^6*T2^7 - 2570*T1^7*T2^7 + 1130*T1^8*T2^7 - 2361*T1^9*T2^7 + 
     1614*T1^10*T2^7 + 32*T1^11*T2^7 - 252*T1^12*T2^7 - 296*T1^2*T2^8 + 
     704*T1^3*T2^8 + 606*T1^4*T2^8 - 2097*T1^5*T2^8 + 426*T1^6*T2^8 + 
     1130*T1^7*T2^8 - 30*T1^8*T2^8 + 1431*T1^9*T2^8 - 642*T1^10*T2^8 - 
     664*T1^11*T2^8 + 424*T1^12*T2^8 + 120*T1^3*T2^9 - 736*T1^4*T2^9 + 
     714*T1^5*T2^9 + 1147*T1^6*T2^9 - 2361*T1^7*T2^9 + 1431*T1^8*T2^9 - 
     1997*T1^9*T2^9 + 534*T1^10*T2^9 + 812*T1^11*T2^9 - 447*T1^12*T2^9 + 
     64*T1^4*T2^10 + 320*T1^5*T2^10 - 1400*T1^6*T2^10 + 1614*T1^7*T2^10 - 
     642*T1^8*T2^10 + 534*T1^9*T2^10 + 640*T1^10*T2^10 - 1120*T1^11*T2^10 + 
     424*T1^12*T2^10 - 144*T1^5*T2^11 + 324*T1^6*T2^11 + 32*T1^7*T2^11 - 
     664*T1^8*T2^11 + 812*T1^9*T2^11 - 1120*T1^10*T2^11 + 864*T1^11*T2^11 - 
     252*T1^12*T2^11 + 63*T1^6*T2^12 - 252*T1^7*T2^12 + 424*T1^8*T2^12 - 
     447*T1^9*T2^12 + 424*T1^10*T2^12 - 252*T1^11*T2^12 + 63*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1180] -> 
  {(2 - 8*T + 19*T^2 - 33*T^3 + 41*T^4 - 33*T^5 + 19*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-33 + 132*T1 - 313*T1^2 + 543*T1^3 - 675*T1^4 + 543*T1^5 - 
     313*T1^6 + 132*T1^7 - 33*T1^8 + 132*T2 - 428*T1*T2 + 852*T1^2*T2 - 
     1224*T1^3*T2 + 1056*T1^4*T2 - 128*T1^5*T2 - 392*T1^6*T2 + 420*T1^7*T2 - 
     268*T1^8*T2 + 100*T1^9*T2 - 313*T2^2 + 852*T1*T2^2 - 1524*T1^2*T2^2 + 
     1993*T1^3*T2^2 - 1358*T1^4*T2^2 - 360*T1^5*T2^2 + 314*T1^6*T2^2 + 
     93*T1^7*T2^2 - 232*T1^8*T2^2 + 244*T1^9*T2^2 - 161*T1^10*T2^2 + 
     543*T2^3 - 1224*T1*T2^3 + 1993*T1^2*T2^3 - 2390*T1^3*T2^3 + 
     1121*T1^4*T2^3 + 1192*T1^5*T2^3 + 240*T1^6*T2^3 - 677*T1^7*T2^3 + 
     436*T1^8*T2^3 - 249*T1^9*T2^3 + 56*T1^10*T2^3 + 147*T1^11*T2^3 - 
     675*T2^4 + 1056*T1*T2^4 - 1358*T1^2*T2^4 + 1121*T1^3*T2^4 + 
     919*T1^4*T2^4 - 2942*T1^5*T2^4 - 863*T1^6*T2^4 + 474*T1^7*T2^4 + 
     511*T1^8*T2^4 - 727*T1^9*T2^4 + 650*T1^10*T2^4 - 512*T1^11*T2^4 - 
     19*T1^12*T2^4 + 543*T2^5 - 128*T1*T2^5 - 360*T1^2*T2^5 + 
     1192*T1^3*T2^5 - 2942*T1^4*T2^5 + 2549*T1^5*T2^5 + 3660*T1^6*T2^5 - 
     480*T1^7*T2^5 - 1513*T1^8*T2^5 + 1039*T1^9*T2^5 - 344*T1^10*T2^5 - 
     12*T1^11*T2^5 + 544*T1^12*T2^5 - 117*T1^13*T2^5 - 313*T2^6 - 
     392*T1*T2^6 + 314*T1^2*T2^6 + 240*T1^3*T2^6 - 863*T1^4*T2^6 + 
     3660*T1^5*T2^6 - 7448*T1^6*T2^6 - 1918*T1^7*T2^6 + 4304*T1^8*T2^6 - 
     1630*T1^9*T2^6 + 123*T1^10*T2^6 + 316*T1^11*T2^6 - 686*T1^12*T2^6 - 
     104*T1^13*T2^6 + 143*T1^14*T2^6 + 132*T2^7 + 420*T1*T2^7 + 
     93*T1^2*T2^7 - 677*T1^3*T2^7 + 474*T1^4*T2^7 - 480*T1^5*T2^7 - 
     1918*T1^6*T2^7 + 12734*T1^7*T2^7 - 8976*T1^8*T2^7 + 741*T1^9*T2^7 + 
     1360*T1^10*T2^7 - 1247*T1^11*T2^7 + 921*T1^12*T2^7 + 283*T1^13*T2^7 - 
     204*T1^14*T2^7 - 92*T1^15*T2^7 - 33*T2^8 - 268*T1*T2^8 - 232*T1^2*T2^8 + 
     436*T1^3*T2^8 + 511*T1^4*T2^8 - 1513*T1^5*T2^8 + 4304*T1^6*T2^8 - 
     8976*T1^7*T2^8 - 696*T1^8*T2^8 + 9112*T1^9*T2^8 - 5894*T1^10*T2^8 + 
     2549*T1^11*T2^8 - 837*T1^12*T2^8 - 520*T1^13*T2^8 + 192*T1^14*T2^8 + 
     244*T1^15*T2^8 + 31*T1^16*T2^8 + 100*T1*T2^9 + 244*T1^2*T2^9 - 
     249*T1^3*T2^9 - 727*T1^4*T2^9 + 1039*T1^5*T2^9 - 1630*T1^6*T2^9 + 
     741*T1^7*T2^9 + 9112*T1^8*T2^9 - 12598*T1^9*T2^9 + 3400*T1^10*T2^9 + 
     210*T1^11*T2^9 - 682*T1^12*T2^9 + 871*T1^13*T2^9 - 59*T1^14*T2^9 - 
     380*T1^15*T2^9 - 124*T1^16*T2^9 - 161*T1^2*T2^10 + 56*T1^3*T2^10 + 
     650*T1^4*T2^10 - 344*T1^5*T2^10 + 123*T1^6*T2^10 + 1360*T1^7*T2^10 - 
     5894*T1^8*T2^10 + 3400*T1^9*T2^10 + 5858*T1^10*T2^10 - 
     3930*T1^11*T2^10 + 1109*T1^12*T2^10 - 268*T1^13*T2^10 - 
     350*T1^14*T2^10 + 344*T1^15*T2^10 + 295*T1^16*T2^10 + 147*T1^3*T2^11 - 
     512*T1^4*T2^11 - 12*T1^5*T2^11 + 316*T1^6*T2^11 - 1247*T1^7*T2^11 + 
     2549*T1^8*T2^11 + 210*T1^9*T2^11 - 3930*T1^10*T2^11 - 1513*T1^11*T2^11 + 
     2734*T1^12*T2^11 - 1220*T1^13*T2^11 + 336*T1^14*T2^11 + 
     160*T1^15*T2^11 - 513*T1^16*T2^11 - 19*T1^4*T2^12 + 544*T1^5*T2^12 - 
     686*T1^6*T2^12 + 921*T1^7*T2^12 - 837*T1^8*T2^12 - 682*T1^9*T2^12 + 
     1109*T1^10*T2^12 + 2734*T1^11*T2^12 - 1245*T1^12*T2^12 - 
     927*T1^13*T2^12 + 1322*T1^14*T2^12 - 1024*T1^15*T2^12 + 
     637*T1^16*T2^12 - 117*T1^5*T2^13 - 104*T1^6*T2^13 + 283*T1^7*T2^13 - 
     520*T1^8*T2^13 + 871*T1^9*T2^13 - 268*T1^10*T2^13 - 1220*T1^11*T2^13 - 
     927*T1^12*T2^13 + 2306*T1^13*T2^13 - 1959*T1^14*T2^13 + 
     1176*T1^15*T2^13 - 513*T1^16*T2^13 + 143*T1^6*T2^14 - 204*T1^7*T2^14 + 
     192*T1^8*T2^14 - 59*T1^9*T2^14 - 350*T1^10*T2^14 + 336*T1^11*T2^14 + 
     1322*T1^12*T2^14 - 1959*T1^13*T2^14 + 1484*T1^14*T2^14 - 
     812*T1^15*T2^14 + 295*T1^16*T2^14 - 92*T1^7*T2^15 + 244*T1^8*T2^15 - 
     380*T1^9*T2^15 + 344*T1^10*T2^15 + 160*T1^11*T2^15 - 1024*T1^12*T2^15 + 
     1176*T1^13*T2^15 - 812*T1^14*T2^15 + 404*T1^15*T2^15 - 124*T1^16*T2^15 + 
     31*T1^8*T2^16 - 124*T1^9*T2^16 + 295*T1^10*T2^16 - 513*T1^11*T2^16 + 
     637*T1^12*T2^16 - 513*T1^13*T2^16 + 295*T1^14*T2^16 - 124*T1^15*T2^16 + 
     31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1181] -> 
  {(4 - 16*T + 30*T^2 - 35*T^3 + 30*T^4 - 16*T^5 + 4*T^6)/T^3, 
   (-256 + 1024*T1 - 1908*T1^2 + 2216*T1^3 - 1908*T1^4 + 1024*T1^5 - 
     256*T1^6 + 1024*T2 - 3328*T1*T2 + 4560*T1^2*T2 - 3152*T1^3*T2 + 
     1008*T1^4*T2 + 1616*T1^5*T2 - 2048*T1^6*T2 + 768*T1^7*T2 - 1908*T2^2 + 
     4560*T1*T2^2 - 2778*T1^2*T2^2 - 2886*T1^3*T2^2 + 5772*T1^4*T2^2 - 
     7446*T1^5*T2^2 + 3462*T1^6*T2^2 + 720*T1^7*T2^2 - 948*T1^8*T2^2 + 
     2216*T2^3 - 3152*T1*T2^3 - 2886*T1^2*T2^3 + 9490*T1^3*T2^3 - 
     7388*T1^4*T2^3 + 4492*T1^5*T2^3 + 3790*T1^6*T2^3 - 5886*T1^7*T2^3 + 
     1648*T1^8*T2^3 + 536*T1^9*T2^3 - 1908*T2^4 + 1008*T1*T2^4 + 
     5772*T1^2*T2^4 - 7388*T1^3*T2^4 - 1389*T1^4*T2^4 + 5303*T1^5*T2^4 - 
     10189*T1^6*T2^4 + 4932*T1^7*T2^4 + 2252*T1^8*T2^4 - 2192*T1^9*T2^4 + 
     12*T1^10*T2^4 + 1024*T2^5 + 1616*T1*T2^5 - 7446*T1^2*T2^5 + 
     4492*T1^3*T2^5 + 5303*T1^4*T2^5 - 4766*T1^5*T2^5 + 3644*T1^6*T2^5 + 
     3563*T1^7*T2^5 - 6508*T1^8*T2^5 + 1794*T1^9*T2^5 + 976*T1^10*T2^5 - 
     256*T1^11*T2^5 - 256*T2^6 - 2048*T1*T2^6 + 3462*T1^2*T2^6 + 
     3790*T1^3*T2^6 - 10189*T1^4*T2^6 + 3644*T1^5*T2^6 + 1332*T1^6*T2^6 - 
     5468*T1^7*T2^6 + 3651*T1^8*T2^6 + 2350*T1^9*T2^6 - 2842*T1^10*T2^6 + 
     512*T1^11*T2^6 + 128*T1^12*T2^6 + 768*T1*T2^7 + 720*T1^2*T2^7 - 
     5886*T1^3*T2^7 + 4932*T1^4*T2^7 + 3563*T1^5*T2^7 - 5468*T1^6*T2^7 + 
     2942*T1^7*T2^7 + 1823*T1^8*T2^7 - 6068*T1^9*T2^7 + 3354*T1^10*T2^7 + 
     80*T1^11*T2^7 - 512*T1^12*T2^7 - 948*T1^2*T2^8 + 1648*T1^3*T2^8 + 
     2252*T1^4*T2^8 - 6508*T1^5*T2^8 + 3651*T1^6*T2^8 + 1823*T1^7*T2^8 - 
     5149*T1^8*T2^8 + 5812*T1^9*T2^8 - 1268*T1^10*T2^8 - 1552*T1^11*T2^8 + 
     972*T1^12*T2^8 + 536*T1^3*T2^9 - 2192*T1^4*T2^9 + 1794*T1^5*T2^9 + 
     2350*T1^6*T2^9 - 6068*T1^7*T2^9 + 5812*T1^8*T2^9 - 3350*T1^9*T2^9 - 
     1206*T1^10*T2^9 + 2608*T1^11*T2^9 - 1144*T1^12*T2^9 + 12*T1^4*T2^10 + 
     976*T1^5*T2^10 - 2842*T1^6*T2^10 + 3354*T1^7*T2^10 - 1268*T1^8*T2^10 - 
     1206*T1^9*T2^10 + 3398*T1^10*T2^10 - 2864*T1^11*T2^10 + 
     972*T1^12*T2^10 - 256*T1^5*T2^11 + 512*T1^6*T2^11 + 80*T1^7*T2^11 - 
     1552*T1^8*T2^11 + 2608*T1^9*T2^11 - 2864*T1^10*T2^11 + 
     1792*T1^11*T2^11 - 512*T1^12*T2^11 + 128*T1^6*T2^12 - 512*T1^7*T2^12 + 
     972*T1^8*T2^12 - 1144*T1^9*T2^12 + 972*T1^10*T2^12 - 512*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1182] -> 
  {-((2 - 9*T + 22*T^2 - 38*T^3 + 45*T^4 - 38*T^5 + 22*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-41 + 183*T1 - 446*T1^2 + 770*T1^3 - 911*T1^4 + 770*T1^5 - 
      446*T1^6 + 183*T1^7 - 41*T1^8 + 183*T2 - 670*T1*T2 + 1335*T1^2*T2 - 
      1840*T1^3*T2 + 1313*T1^4*T2 - 181*T1^5*T2 - 760*T1^6*T2 + 777*T1^7*T2 - 
      472*T1^8*T2 + 147*T1^9*T2 - 446*T2^2 + 1335*T1*T2^2 - 2184*T1^2*T2^2 + 
      2415*T1^3*T2^2 - 477*T1^4*T2^2 - 1210*T1^5*T2^2 + 1547*T1^6*T2^2 - 
      137*T1^7*T2^2 - 424*T1^8*T2^2 + 543*T1^9*T2^2 - 270*T1^10*T2^2 + 
      770*T2^3 - 1840*T1*T2^3 + 2415*T1^2*T2^3 - 2060*T1^3*T2^3 - 
      1302*T1^4*T2^3 + 1968*T1^5*T2^3 - 786*T1^6*T2^3 - 1734*T1^7*T2^3 + 
      922*T1^8*T2^3 - 423*T1^9*T2^3 - 184*T1^10*T2^3 + 314*T1^11*T2^3 - 
      911*T2^4 + 1313*T1*T2^4 - 477*T1^2*T2^4 - 1302*T1^3*T2^4 + 
      5803*T1^4*T2^4 - 3582*T1^5*T2^4 + 803*T1^6*T2^4 + 1710*T1^7*T2^4 + 
      1447*T1^8*T2^4 - 1302*T1^9*T2^4 + 1287*T1^10*T2^4 - 559*T1^11*T2^4 - 
      191*T1^12*T2^4 + 770*T2^5 - 181*T1*T2^5 - 1210*T1^2*T2^5 + 
      1968*T1^3*T2^5 - 3582*T1^4*T2^5 - 3603*T1^5*T2^5 + 5044*T1^6*T2^5 - 
      3224*T1^7*T2^5 - 3853*T1^8*T2^5 + 2002*T1^9*T2^5 - 1126*T1^10*T2^5 - 
      307*T1^11*T2^5 + 809*T1^12*T2^5 + 10*T1^13*T2^5 - 446*T2^6 - 
      760*T1*T2^6 + 1547*T1^2*T2^6 - 786*T1^3*T2^6 + 803*T1^4*T2^6 + 
      5044*T1^5*T2^6 + 1235*T1^6*T2^6 - 7755*T1^7*T2^6 + 12383*T1^8*T2^6 - 
      3584*T1^9*T2^6 + 299*T1^10*T2^6 + 1458*T1^11*T2^6 - 997*T1^12*T2^6 - 
      400*T1^13*T2^6 + 82*T1^14*T2^6 + 183*T2^7 + 777*T1*T2^7 - 
      137*T1^2*T2^7 - 1734*T1^3*T2^7 + 1710*T1^4*T2^7 - 3224*T1^5*T2^7 - 
      7755*T1^6*T2^7 + 11978*T1^7*T2^7 - 8776*T1^8*T2^7 - 3759*T1^9*T2^7 + 
      4324*T1^10*T2^7 - 2706*T1^11*T2^7 + 426*T1^12*T2^7 + 985*T1^13*T2^7 - 
      69*T1^14*T2^7 - 69*T1^15*T2^7 - 41*T2^8 - 472*T1*T2^8 - 424*T1^2*T2^8 + 
      922*T1^3*T2^8 + 1447*T1^4*T2^8 - 3853*T1^5*T2^8 + 12383*T1^6*T2^8 - 
      8776*T1^7*T2^8 - 1476*T1^8*T2^8 + 10936*T1^9*T2^8 - 5885*T1^10*T2^8 + 
      993*T1^11*T2^8 + 1019*T1^12*T2^8 - 1250*T1^13*T2^8 - 222*T1^14*T2^8 + 
      212*T1^15*T2^8 + 23*T1^16*T2^8 + 147*T1*T2^9 + 543*T1^2*T2^9 - 
      423*T1^3*T2^9 - 1302*T1^4*T2^9 + 2002*T1^5*T2^9 - 3584*T1^6*T2^9 - 
      3759*T1^7*T2^9 + 10936*T1^8*T2^9 - 9818*T1^9*T2^9 + 237*T1^10*T2^9 + 
      3964*T1^11*T2^9 - 2414*T1^12*T2^9 + 858*T1^13*T2^9 + 699*T1^14*T2^9 - 
      303*T1^15*T2^9 - 105*T1^16*T2^9 - 270*T1^2*T2^10 - 184*T1^3*T2^10 + 
      1287*T1^4*T2^10 - 1126*T1^5*T2^10 + 299*T1^6*T2^10 + 4324*T1^7*T2^10 - 
      5885*T1^8*T2^10 + 237*T1^9*T2^10 + 5263*T1^10*T2^10 - 
      4304*T1^11*T2^10 - 205*T1^12*T2^10 + 1118*T1^13*T2^10 - 
      1257*T1^14*T2^10 + 176*T1^15*T2^10 + 258*T1^16*T2^10 + 314*T1^3*T2^11 - 
      559*T1^4*T2^11 - 307*T1^5*T2^11 + 1458*T1^6*T2^11 - 2706*T1^7*T2^11 + 
      993*T1^8*T2^11 + 3964*T1^9*T2^11 - 4304*T1^10*T2^11 + 743*T1^11*T2^11 + 
      2878*T1^12*T2^11 - 1636*T1^13*T2^11 + 596*T1^14*T2^11 + 
      431*T1^15*T2^11 - 446*T1^16*T2^11 - 191*T1^4*T2^12 + 809*T1^5*T2^12 - 
      997*T1^6*T2^12 + 426*T1^7*T2^12 + 1019*T1^8*T2^12 - 2414*T1^9*T2^12 - 
      205*T1^10*T2^12 + 2878*T1^11*T2^12 - 3337*T1^12*T2^12 + 
      426*T1^13*T2^12 + 767*T1^14*T2^12 - 1063*T1^15*T2^12 + 
      529*T1^16*T2^12 + 10*T1^5*T2^13 - 400*T1^6*T2^13 + 985*T1^7*T2^13 - 
      1250*T1^8*T2^13 + 858*T1^9*T2^13 + 1118*T1^10*T2^13 - 
      1636*T1^11*T2^13 + 426*T1^12*T2^13 + 1732*T1^13*T2^13 - 
      1853*T1^14*T2^13 + 1256*T1^15*T2^13 - 446*T1^16*T2^13 + 82*T1^6*T2^14 - 
      69*T1^7*T2^14 - 222*T1^8*T2^14 + 699*T1^9*T2^14 - 1257*T1^10*T2^14 + 
      596*T1^11*T2^14 + 767*T1^12*T2^14 - 1853*T1^13*T2^14 + 
      1538*T1^14*T2^14 - 861*T1^15*T2^14 + 258*T1^16*T2^14 - 69*T1^7*T2^15 + 
      212*T1^8*T2^15 - 303*T1^9*T2^15 + 176*T1^10*T2^15 + 431*T1^11*T2^15 - 
      1063*T1^12*T2^15 + 1256*T1^13*T2^15 - 861*T1^14*T2^15 + 
      410*T1^15*T2^15 - 105*T1^16*T2^15 + 23*T1^8*T2^16 - 105*T1^9*T2^16 + 
      258*T1^10*T2^16 - 446*T1^11*T2^16 + 529*T1^12*T2^16 - 446*T1^13*T2^16 + 
      258*T1^14*T2^16 - 105*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1183] -> 
  {-((4 - 15*T + 26*T^2 - 31*T^3 + 26*T^4 - 15*T^5 + 4*T^6)/T^3), 
   -((-320 + 1184*T1 - 2036*T1^2 + 2424*T1^3 - 2036*T1^4 + 1184*T1^5 - 
      320*T1^6 + 1184*T2 - 3438*T1*T2 + 4054*T1^2*T2 - 2992*T1^3*T2 + 
      428*T1^4*T2 + 1594*T1^5*T2 - 2298*T1^6*T2 + 944*T1^7*T2 - 2036*T2^2 + 
      4054*T1*T2^2 - 1241*T1^2*T2^2 - 2501*T1^3*T2^2 + 6087*T1^4*T2^2 - 
      5829*T1^5*T2^2 + 3335*T1^6*T2^2 + 934*T1^7*T2^2 - 1204*T1^8*T2^2 + 
      2424*T2^3 - 2992*T1*T2^3 - 2501*T1^2*T2^3 + 5000*T1^3*T2^3 - 
      5615*T1^4*T2^3 + 1363*T1^5*T2^3 + 2030*T1^6*T2^3 - 4763*T1^7*T2^3 + 
      1028*T1^8*T2^3 + 936*T1^9*T2^3 - 2036*T2^4 + 428*T1*T2^4 + 
      6087*T1^2*T2^4 - 5615*T1^3*T2^4 + 3562*T1^4*T2^4 + 1544*T1^5*T2^4 - 
      2166*T1^6*T2^4 + 1949*T1^7*T2^4 + 2953*T1^8*T2^4 - 2092*T1^9*T2^4 - 
      372*T1^10*T2^4 + 1184*T2^5 + 1594*T1*T2^5 - 5829*T1^2*T2^5 + 
      1363*T1^3*T2^5 + 1544*T1^4*T2^5 - 3576*T1^5*T2^5 + 96*T1^6*T2^5 + 
      1648*T1^7*T2^5 - 4443*T1^8*T2^5 + 697*T1^9*T2^5 + 1414*T1^10*T2^5 - 
      16*T1^11*T2^5 - 320*T2^6 - 2298*T1*T2^6 + 3335*T1^2*T2^6 + 
      2030*T1^3*T2^6 - 2166*T1^4*T2^6 + 96*T1^5*T2^6 + 3780*T1^6*T2^6 - 
      3176*T1^7*T2^6 + 2174*T1^8*T2^6 + 2174*T1^9*T2^6 - 2261*T1^10*T2^6 - 
      138*T1^11*T2^6 + 64*T1^12*T2^6 + 944*T1*T2^7 + 934*T1^2*T2^7 - 
      4763*T1^3*T2^7 + 1949*T1^4*T2^7 + 1648*T1^5*T2^7 - 3176*T1^6*T2^7 + 
      496*T1^7*T2^7 + 1752*T1^8*T2^7 - 3857*T1^9*T2^7 + 1763*T1^10*T2^7 + 
      754*T1^11*T2^7 - 256*T1^12*T2^7 - 1204*T1^2*T2^8 + 1028*T1^3*T2^8 + 
      2953*T1^4*T2^8 - 4443*T1^5*T2^8 + 2174*T1^6*T2^8 + 1752*T1^7*T2^8 - 
      3554*T1^8*T2^8 + 3121*T1^9*T2^8 - 181*T1^10*T2^8 - 1492*T1^11*T2^8 + 
      460*T1^12*T2^8 + 936*T1^3*T2^9 - 2092*T1^4*T2^9 + 697*T1^5*T2^9 + 
      2174*T1^6*T2^9 - 3857*T1^7*T2^9 + 3121*T1^8*T2^9 - 796*T1^9*T2^9 - 
      1565*T1^10*T2^9 + 1928*T1^11*T2^9 - 552*T1^12*T2^9 - 372*T1^4*T2^10 + 
      1414*T1^5*T2^10 - 2261*T1^6*T2^10 + 1763*T1^7*T2^10 - 181*T1^8*T2^10 - 
      1565*T1^9*T2^10 + 2315*T1^10*T2^10 - 1706*T1^11*T2^10 + 
      460*T1^12*T2^10 - 16*T1^5*T2^11 - 138*T1^6*T2^11 + 754*T1^7*T2^11 - 
      1492*T1^8*T2^11 + 1928*T1^9*T2^11 - 1706*T1^10*T2^11 + 
      1002*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 256*T1^7*T2^12 + 
      460*T1^8*T2^12 - 552*T1^9*T2^12 + 460*T1^10*T2^12 - 256*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1184] -> 
  {(2 - 10*T + 24*T^2 - 34*T^3 + 37*T^4 - 34*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-49 + 244*T1 - 584*T1^2 + 826*T1^3 - 899*T1^4 + 826*T1^5 - 
     584*T1^6 + 244*T1^7 - 49*T1^8 + 244*T2 - 1012*T1*T2 + 1895*T1^2*T2 - 
     1687*T1^3*T2 + 1044*T1^4*T2 - 376*T1^5*T2 - 527*T1^6*T2 + 1215*T1^7*T2 - 
     772*T1^8*T2 + 204*T1^9*T2 - 584*T2^2 + 1895*T1*T2^2 - 2289*T1^2*T2^2 - 
     354*T1^3*T2^2 + 1854*T1^4*T2^2 - 2341*T1^5*T2^2 + 3102*T1^6*T2^2 - 
     2658*T1^7*T2^2 - 177*T1^8*T2^2 + 935*T1^9*T2^2 - 392*T1^10*T2^2 + 
     826*T2^3 - 1687*T1*T2^3 - 354*T1^2*T2^3 + 5930*T1^3*T2^3 - 
     4974*T1^4*T2^3 + 2944*T1^5*T2^3 - 2264*T1^6*T2^3 - 642*T1^7*T2^3 + 
     5114*T1^8*T2^3 - 2370*T1^9*T2^3 - 127*T1^10*T2^3 + 418*T1^11*T2^3 - 
     899*T2^4 + 1044*T1*T2^4 + 1854*T1^2*T2^4 - 4974*T1^3*T2^4 - 
     3766*T1^4*T2^4 + 7807*T1^5*T2^4 - 7652*T1^6*T2^4 + 9543*T1^7*T2^4 - 
     9726*T1^8*T2^4 - 78*T1^9*T2^4 + 2158*T1^10*T2^4 - 556*T1^11*T2^4 - 
     307*T1^12*T2^4 + 826*T2^5 - 376*T1*T2^5 - 2341*T1^2*T2^5 + 
     2944*T1^3*T2^5 + 7807*T1^4*T2^5 - 6196*T1^5*T2^5 + 2273*T1^6*T2^5 - 
     2843*T1^7*T2^5 + 1202*T1^8*T2^5 + 7443*T1^9*T2^5 - 2344*T1^10*T2^5 - 
     1033*T1^11*T2^5 + 804*T1^12*T2^5 + 146*T1^13*T2^5 - 584*T2^6 - 
     527*T1*T2^6 + 3102*T1^2*T2^6 - 2264*T1^3*T2^6 - 7652*T1^4*T2^6 + 
     2273*T1^5*T2^6 + 235*T1^6*T2^6 + 3103*T1^7*T2^6 - 2981*T1^8*T2^6 - 
     2543*T1^9*T2^6 - 4164*T1^10*T2^6 + 2824*T1^11*T2^6 - 34*T1^12*T2^6 - 
     687*T1^13*T2^6 - 8*T1^14*T2^6 + 244*T2^7 + 1215*T1*T2^7 - 
     2658*T1^2*T2^7 - 642*T1^3*T2^7 + 9543*T1^4*T2^7 - 2843*T1^5*T2^7 + 
     3103*T1^6*T2^7 - 7824*T1^7*T2^7 + 5722*T1^8*T2^7 + 851*T1^9*T2^7 + 
     2873*T1^10*T2^7 + 1507*T1^11*T2^7 - 2718*T1^12*T2^7 + 1086*T1^13*T2^7 + 
     215*T1^14*T2^7 - 36*T1^15*T2^7 - 49*T2^8 - 772*T1*T2^8 - 177*T1^2*T2^8 + 
     5114*T1^3*T2^8 - 9726*T1^4*T2^8 + 1202*T1^5*T2^8 - 2981*T1^6*T2^8 + 
     5722*T1^7*T2^8 + 672*T1^8*T2^8 - 6638*T1^9*T2^8 + 2539*T1^10*T2^8 - 
     5158*T1^11*T2^8 + 3234*T1^12*T2^8 + 10*T1^13*T2^8 - 801*T1^14*T2^8 + 
     108*T1^15*T2^8 + 15*T1^16*T2^8 + 204*T1*T2^9 + 935*T1^2*T2^9 - 
     2370*T1^3*T2^9 - 78*T1^4*T2^9 + 7443*T1^5*T2^9 - 2543*T1^6*T2^9 + 
     851*T1^7*T2^9 - 6638*T1^8*T2^9 + 6908*T1^9*T2^9 - 1401*T1^10*T2^9 + 
     3173*T1^11*T2^9 - 593*T1^12*T2^9 - 2154*T1^13*T2^9 + 1374*T1^14*T2^9 - 
     65*T1^15*T2^9 - 76*T1^16*T2^9 - 392*T1^2*T2^10 - 127*T1^3*T2^10 + 
     2158*T1^4*T2^10 - 2344*T1^5*T2^10 - 4164*T1^6*T2^10 + 2873*T1^7*T2^10 + 
     2539*T1^8*T2^10 - 1401*T1^9*T2^10 - 677*T1^10*T2^10 - 1943*T1^11*T2^10 - 
     676*T1^12*T2^10 + 2744*T1^13*T2^10 - 978*T1^14*T2^10 - 287*T1^15*T2^10 + 
     184*T1^16*T2^10 + 418*T1^3*T2^11 - 556*T1^4*T2^11 - 1033*T1^5*T2^11 + 
     2824*T1^6*T2^11 + 1507*T1^7*T2^11 - 5158*T1^8*T2^11 + 3173*T1^9*T2^11 - 
     1943*T1^10*T2^11 + 2240*T1^11*T2^11 + 1143*T1^12*T2^11 - 
     2464*T1^13*T2^11 + 275*T1^14*T2^11 + 624*T1^15*T2^11 - 262*T1^16*T2^11 - 
     307*T1^4*T2^12 + 804*T1^5*T2^12 - 34*T1^6*T2^12 - 2718*T1^7*T2^12 + 
     3234*T1^8*T2^12 - 593*T1^9*T2^12 - 676*T1^10*T2^12 + 1143*T1^11*T2^12 - 
     2726*T1^12*T2^12 + 2178*T1^13*T2^12 + 270*T1^14*T2^12 - 
     796*T1^15*T2^12 + 285*T1^16*T2^12 + 146*T1^5*T2^13 - 687*T1^6*T2^13 + 
     1086*T1^7*T2^13 + 10*T1^8*T2^13 - 2154*T1^9*T2^13 + 2744*T1^10*T2^13 - 
     2464*T1^11*T2^13 + 2178*T1^12*T2^13 - 806*T1^13*T2^13 - 
     930*T1^14*T2^13 + 873*T1^15*T2^13 - 262*T1^16*T2^13 - 8*T1^6*T2^14 + 
     215*T1^7*T2^14 - 801*T1^8*T2^14 + 1374*T1^9*T2^14 - 978*T1^10*T2^14 + 
     275*T1^11*T2^14 + 270*T1^12*T2^14 - 930*T1^13*T2^14 + 1311*T1^14*T2^14 - 
     745*T1^15*T2^14 + 184*T1^16*T2^14 - 36*T1^7*T2^15 + 108*T1^8*T2^15 - 
     65*T1^9*T2^15 - 287*T1^10*T2^15 + 624*T1^11*T2^15 - 796*T1^12*T2^15 + 
     873*T1^13*T2^15 - 745*T1^14*T2^15 + 348*T1^15*T2^15 - 76*T1^16*T2^15 + 
     15*T1^8*T2^16 - 76*T1^9*T2^16 + 184*T1^10*T2^16 - 262*T1^11*T2^16 + 
     285*T1^12*T2^16 - 262*T1^13*T2^16 + 184*T1^14*T2^16 - 76*T1^15*T2^16 + 
     15*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1185] -> 
  {(4 - 22*T + 55*T^2 - 73*T^3 + 55*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-272 + 1484*T1 - 3692*T1^2 + 4888*T1^3 - 3692*T1^4 + 1484*T1^5 - 
     272*T1^6 + 1484*T2 - 6974*T1*T2 + 14004*T1^2*T2 - 11380*T1^3*T2 - 
     116*T1^4*T2 + 7228*T1^5*T2 - 4686*T1^6*T2 + 1132*T1^7*T2 - 3692*T2^2 + 
     14004*T1*T2^2 - 18467*T1^2*T2^2 - 6782*T1^3*T2^2 + 34669*T1^4*T2^2 - 
     29222*T1^5*T2^2 + 3973*T1^6*T2^2 + 4324*T1^7*T2^2 - 1932*T1^8*T2^2 + 
     4888*T2^3 - 11380*T1*T2^3 - 6782*T1^2*T2^3 + 64586*T1^3*T2^3 - 
     75007*T1^4*T2^3 + 12421*T1^5*T2^3 + 38868*T1^6*T2^3 - 23502*T1^7*T2^3 + 
     3052*T1^8*T2^3 + 1384*T1^9*T2^3 - 3692*T2^4 - 116*T1*T2^4 + 
     34669*T1^2*T2^4 - 75007*T1^3*T2^4 + 2979*T1^4*T2^4 + 111573*T1^5*T2^4 - 
     115953*T1^6*T2^4 + 24565*T1^7*T2^4 + 12405*T1^8*T2^4 - 6628*T1^9*T2^4 - 
     172*T1^10*T2^4 + 1484*T2^5 + 7228*T1*T2^5 - 29222*T1^2*T2^5 + 
     12421*T1^3*T2^5 + 111573*T1^4*T2^5 - 174967*T1^5*T2^5 + 
     70883*T1^6*T2^5 + 57728*T1^7*T2^5 - 50719*T1^8*T2^5 + 10378*T1^9*T2^5 + 
     2388*T1^10*T2^5 - 276*T1^11*T2^5 - 272*T2^6 - 4686*T1*T2^6 + 
     3973*T1^2*T2^6 + 38868*T1^3*T2^6 - 115953*T1^4*T2^6 + 70883*T1^5*T2^6 + 
     78804*T1^6*T2^6 - 141043*T1^7*T2^6 + 56549*T1^8*T2^6 + 5240*T1^9*T2^6 - 
     9139*T1^10*T2^6 + 946*T1^11*T2^6 + 112*T1^12*T2^6 + 1132*T1*T2^7 + 
     4324*T1^2*T2^7 - 23502*T1^3*T2^7 + 24565*T1^4*T2^7 + 57728*T1^5*T2^7 - 
     141043*T1^6*T2^7 + 104807*T1^7*T2^7 + 3883*T1^8*T2^7 - 38575*T1^9*T2^7 + 
     16098*T1^10*T2^7 - 516*T1^11*T2^7 - 628*T1^12*T2^7 - 1932*T1^2*T2^8 + 
     3052*T1^3*T2^8 + 12405*T1^4*T2^8 - 50719*T1^5*T2^8 + 56549*T1^6*T2^8 + 
     3883*T1^7*T2^8 - 62383*T1^8*T2^8 + 48853*T1^9*T2^8 - 9859*T1^10*T2^8 - 
     3460*T1^11*T2^8 + 1588*T1^12*T2^8 + 1384*T1^3*T2^9 - 6628*T1^4*T2^9 + 
     10378*T1^5*T2^9 + 5240*T1^6*T2^9 - 38575*T1^7*T2^9 + 48853*T1^8*T2^9 - 
     20478*T1^9*T2^9 - 6342*T1^10*T2^9 + 7804*T1^11*T2^9 - 2120*T1^12*T2^9 - 
     172*T1^4*T2^10 + 2388*T1^5*T2^10 - 9139*T1^6*T2^10 + 16098*T1^7*T2^10 - 
     9859*T1^8*T2^10 - 6342*T1^9*T2^10 + 13301*T1^10*T2^10 - 
     7292*T1^11*T2^10 + 1588*T1^12*T2^10 - 276*T1^5*T2^11 + 946*T1^6*T2^11 - 
     516*T1^7*T2^11 - 3460*T1^8*T2^11 + 7804*T1^9*T2^11 - 7292*T1^10*T2^11 + 
     3234*T1^11*T2^11 - 628*T1^12*T2^11 + 112*T1^6*T2^12 - 628*T1^7*T2^12 + 
     1588*T1^8*T2^12 - 2120*T1^9*T2^12 + 1588*T1^10*T2^12 - 628*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1186] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-49 + 268*T1 - 728*T1^2 + 1210*T1^3 - 1427*T1^4 + 1210*T1^5 - 728*T1^6 + 
     268*T1^7 - 49*T1^8 + 268*T2 - 1242*T1*T2 + 2758*T1^2*T2 - 3297*T1^3*T2 + 
     2287*T1^4*T2 - 111*T1^5*T2 - 1537*T1^6*T2 + 1856*T1^7*T2 - 956*T1^8*T2 + 
     224*T1^9*T2 - 728*T2^2 + 2758*T1*T2^2 - 4594*T1^2*T2^2 + 
     2393*T1^3*T2^2 + 1957*T1^4*T2^2 - 5878*T1^5*T2^2 + 5437*T1^6*T2^2 - 
     2287*T1^7*T2^2 - 1234*T1^8*T2^2 + 1438*T1^9*T2^2 - 488*T1^10*T2^2 + 
     1210*T2^3 - 3297*T1*T2^3 + 2393*T1^2*T2^3 + 5786*T1^3*T2^3 - 
     11087*T1^4*T2^3 + 10501*T1^5*T2^3 - 1469*T1^6*T2^3 - 5687*T1^7*T2^3 + 
     7856*T1^8*T2^3 - 2317*T1^9*T2^3 - 657*T1^10*T2^3 + 610*T1^11*T2^3 - 
     1427*T2^4 + 2287*T1*T2^4 + 1957*T1^2*T2^4 - 11087*T1^3*T2^4 + 
     5837*T1^4*T2^4 + 6330*T1^5*T2^4 - 21087*T1^6*T2^4 + 19822*T1^7*T2^4 - 
     10159*T1^8*T2^4 - 3887*T1^9*T2^4 + 4017*T1^10*T2^4 - 705*T1^11*T2^4 - 
     483*T1^12*T2^4 + 1210*T2^5 - 111*T1*T2^5 - 5878*T1^2*T2^5 + 
     10501*T1^3*T2^5 + 6330*T1^4*T2^5 - 18971*T1^5*T2^5 + 23247*T1^6*T2^5 - 
     4993*T1^7*T2^5 - 9261*T1^8*T2^5 + 16574*T1^9*T2^5 - 3409*T1^10*T2^5 - 
     2461*T1^11*T2^5 + 1495*T1^12*T2^5 + 210*T1^13*T2^5 - 728*T2^6 - 
     1537*T1*T2^6 + 5437*T1^2*T2^6 - 1469*T1^3*T2^6 - 21087*T1^4*T2^6 + 
     23247*T1^5*T2^6 - 13189*T1^6*T2^6 - 10929*T1^7*T2^6 + 13751*T1^8*T2^6 - 
     7413*T1^9*T2^6 - 10727*T1^10*T2^6 + 7591*T1^11*T2^6 - 883*T1^12*T2^6 - 
     1097*T1^13*T2^6 - 8*T1^14*T2^6 + 268*T2^7 + 1856*T1*T2^7 - 
     2287*T1^2*T2^7 - 5687*T1^3*T2^7 + 19822*T1^4*T2^7 - 4993*T1^5*T2^7 - 
     10929*T1^6*T2^7 + 22058*T1^7*T2^7 - 5140*T1^8*T2^7 - 8749*T1^9*T2^7 + 
     18407*T1^10*T2^7 - 3414*T1^11*T2^7 - 3887*T1^12*T2^7 + 2243*T1^13*T2^7 + 
     250*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 956*T1*T2^8 - 
     1234*T1^2*T2^8 + 7856*T1^3*T2^8 - 10159*T1^4*T2^8 - 9261*T1^5*T2^8 + 
     13751*T1^6*T2^8 - 5140*T1^7*T2^8 - 16980*T1^8*T2^8 + 19436*T1^9*T2^8 - 
     11389*T1^10*T2^8 - 8027*T1^11*T2^8 + 8429*T1^12*T2^8 - 1564*T1^13*T2^8 - 
     1060*T1^14*T2^8 + 144*T1^15*T2^8 + 15*T1^16*T2^8 + 224*T1*T2^9 + 
     1438*T1^2*T2^9 - 2317*T1^3*T2^9 - 3887*T1^4*T2^9 + 16574*T1^5*T2^9 - 
     7413*T1^6*T2^9 - 8749*T1^7*T2^9 + 19436*T1^8*T2^9 - 7762*T1^9*T2^9 - 
     6569*T1^10*T2^9 + 15987*T1^11*T2^9 - 6662*T1^12*T2^9 - 2087*T1^13*T2^9 + 
     2213*T1^14*T2^9 - 168*T1^15*T2^9 - 84*T1^16*T2^9 - 488*T1^2*T2^10 - 
     657*T1^3*T2^10 + 4017*T1^4*T2^10 - 3409*T1^5*T2^10 - 10727*T1^6*T2^10 + 
     18407*T1^7*T2^10 - 11389*T1^8*T2^10 - 6569*T1^9*T2^10 + 
     15551*T1^10*T2^10 - 12253*T1^11*T2^10 - 367*T1^12*T2^10 + 
     5651*T1^13*T2^10 - 2303*T1^14*T2^10 - 217*T1^15*T2^10 + 
     232*T1^16*T2^10 + 610*T1^3*T2^11 - 705*T1^4*T2^11 - 2461*T1^5*T2^11 + 
     7591*T1^6*T2^11 - 3414*T1^7*T2^11 - 8027*T1^8*T2^11 + 15987*T1^9*T2^11 - 
     12253*T1^10*T2^11 + 1683*T1^11*T2^11 + 6830*T1^12*T2^11 - 
     6319*T1^13*T2^11 + 956*T1^14*T2^11 + 901*T1^15*T2^11 - 390*T1^16*T2^11 - 
     483*T1^4*T2^12 + 1495*T1^5*T2^12 - 883*T1^6*T2^12 - 3887*T1^7*T2^12 + 
     8429*T1^8*T2^12 - 6662*T1^9*T2^12 - 367*T1^10*T2^12 + 6830*T1^11*T2^12 - 
     7567*T1^12*T2^12 + 3313*T1^13*T2^12 + 1177*T1^14*T2^12 - 
     1497*T1^15*T2^12 + 461*T1^16*T2^12 + 210*T1^5*T2^13 - 1097*T1^6*T2^13 + 
     2243*T1^7*T2^13 - 1564*T1^8*T2^13 - 2087*T1^9*T2^13 + 5651*T1^10*T2^13 - 
     6319*T1^11*T2^13 + 3313*T1^12*T2^13 + 506*T1^13*T2^13 - 
     2467*T1^14*T2^13 + 1543*T1^15*T2^13 - 390*T1^16*T2^13 - 8*T1^6*T2^14 + 
     250*T1^7*T2^14 - 1060*T1^8*T2^14 + 2213*T1^9*T2^14 - 2303*T1^10*T2^14 + 
     956*T1^11*T2^14 + 1177*T1^12*T2^14 - 2467*T1^13*T2^14 + 
     2300*T1^14*T2^14 - 1070*T1^15*T2^14 + 232*T1^16*T2^14 - 40*T1^7*T2^15 + 
     144*T1^8*T2^15 - 168*T1^9*T2^15 - 217*T1^10*T2^15 + 901*T1^11*T2^15 - 
     1497*T1^12*T2^15 + 1543*T1^13*T2^15 - 1070*T1^14*T2^15 + 
     430*T1^15*T2^15 - 84*T1^16*T2^15 + 15*T1^8*T2^16 - 84*T1^9*T2^16 + 
     232*T1^10*T2^16 - 390*T1^11*T2^16 + 461*T1^12*T2^16 - 390*T1^13*T2^16 + 
     232*T1^14*T2^16 - 84*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1187] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 23*T^2 - 31*T^3 + 23*T^4 - 10*T^5 + 2*T^6))/
     T^4), -((-23 + 139*T1 - 408*T1^2 + 749*T1^3 - 903*T1^4 + 749*T1^5 - 
      408*T1^6 + 139*T1^7 - 23*T1^8 + 139*T2 - 748*T1*T2 + 1910*T1^2*T2 - 
      2896*T1^3*T2 + 2464*T1^4*T2 - 920*T1^5*T2 - 520*T1^6*T2 + 782*T1^7*T2 - 
      412*T1^8*T2 + 91*T1^9*T2 - 408*T2^2 + 1910*T1*T2^2 - 4020*T1^2*T2^2 + 
      4262*T1^3*T2^2 - 340*T1^4*T2^2 - 4104*T1^5*T2^2 + 5540*T1^6*T2^2 - 
      3018*T1^7*T2^2 + 600*T1^8*T2^2 + 230*T1^9*T2^2 - 128*T1^10*T2^2 + 
      749*T2^3 - 2896*T1*T2^3 + 4262*T1^2*T2^3 - 396*T1^3*T2^3 - 
      9288*T1^4*T2^3 + 13184*T1^5*T2^3 - 8020*T1^6*T2^3 - 1884*T1^7*T2^3 + 
      5208*T1^8*T2^3 - 3298*T1^9*T2^3 + 872*T1^10*T2^3 - 19*T1^11*T2^3 - 
      903*T2^4 + 2464*T1*T2^4 - 340*T1^2*T2^4 - 9288*T1^3*T2^4 + 
      20024*T1^4*T2^4 - 12149*T1^5*T2^4 - 6868*T1^6*T2^4 + 20331*T1^7*T2^4 - 
      13648*T1^8*T2^4 + 1976*T1^9*T2^4 + 2788*T1^10*T2^4 - 1856*T1^11*T2^4 + 
      329*T1^12*T2^4 + 749*T2^5 - 920*T1*T2^5 - 4104*T1^2*T2^5 + 
      13184*T1^3*T2^5 - 12149*T1^4*T2^5 - 15102*T1^5*T2^5 + 38447*T1^6*T2^5 - 
      33045*T1^7*T2^5 + 2190*T1^8*T2^5 + 16243*T1^9*T2^5 - 11516*T1^10*T2^5 + 
      2280*T1^11*T2^5 + 1216*T1^12*T2^5 - 531*T1^13*T2^5 - 408*T2^6 - 
      520*T1*T2^6 + 5540*T1^2*T2^6 - 8020*T1^3*T2^6 - 6868*T1^4*T2^6 + 
      38447*T1^5*T2^6 - 40007*T1^6*T2^6 - 303*T1^7*T2^6 + 40489*T1^8*T2^6 - 
      38313*T1^9*T2^6 + 6734*T1^10*T2^6 + 7940*T1^11*T2^6 - 5844*T1^12*T2^6 + 
      584*T1^13*T2^6 + 432*T1^14*T2^6 + 139*T2^7 + 782*T1*T2^7 - 
      3018*T1^2*T2^7 - 1884*T1^3*T2^7 + 20331*T1^4*T2^7 - 33045*T1^5*T2^7 - 
      303*T1^6*T2^7 + 58660*T1^7*T2^7 - 67256*T1^8*T2^7 + 22209*T1^9*T2^7 + 
      27911*T1^10*T2^7 - 24413*T1^11*T2^7 + 6152*T1^12*T2^7 + 
      2862*T1^13*T2^7 - 1402*T1^14*T2^7 - 197*T1^15*T2^7 - 23*T2^8 - 
      412*T1*T2^8 + 600*T1^2*T2^8 + 5208*T1^3*T2^8 - 13648*T1^4*T2^8 + 
      2190*T1^5*T2^8 + 40489*T1^6*T2^8 - 67256*T1^7*T2^8 + 14976*T1^8*T2^8 + 
      50136*T1^9*T2^8 - 72171*T1^10*T2^8 + 23406*T1^11*T2^8 + 
      6716*T1^12*T2^8 - 9016*T1^13*T2^8 + 1152*T1^14*T2^8 + 932*T1^15*T2^8 + 
      41*T1^16*T2^8 + 91*T1*T2^9 + 230*T1^2*T2^9 - 3298*T1^3*T2^9 + 
      1976*T1^4*T2^9 + 16243*T1^5*T2^9 - 38313*T1^6*T2^9 + 22209*T1^7*T2^9 + 
      50136*T1^8*T2^9 - 75780*T1^9*T2^9 + 44721*T1^10*T2^9 + 
      22643*T1^11*T2^9 - 28501*T1^12*T2^9 + 10012*T1^13*T2^9 + 
      2582*T1^14*T2^9 - 1954*T1^15*T2^9 - 245*T1^16*T2^9 - 128*T1^2*T2^10 + 
      872*T1^3*T2^10 + 2788*T1^4*T2^10 - 11516*T1^5*T2^10 + 6734*T1^6*T2^10 + 
      27911*T1^7*T2^10 - 72171*T1^8*T2^10 + 44721*T1^9*T2^10 + 
      8325*T1^10*T2^10 - 48849*T1^11*T2^10 + 20336*T1^12*T2^10 + 
      4444*T1^13*T2^10 - 8596*T1^14*T2^10 + 1976*T1^15*T2^10 + 
      712*T1^16*T2^10 - 19*T1^3*T2^11 - 1856*T1^4*T2^11 + 2280*T1^5*T2^11 + 
      7940*T1^6*T2^11 - 24413*T1^7*T2^11 + 23406*T1^8*T2^11 + 
      22643*T1^9*T2^11 - 48849*T1^10*T2^11 + 40698*T1^11*T2^11 + 
      3979*T1^12*T2^11 - 16760*T1^13*T2^11 + 8664*T1^14*T2^11 + 
      280*T1^15*T2^11 - 1299*T1^16*T2^11 + 329*T1^4*T2^12 + 1216*T1^5*T2^12 - 
      5844*T1^6*T2^12 + 6152*T1^7*T2^12 + 6716*T1^8*T2^12 - 
      28501*T1^9*T2^12 + 20336*T1^10*T2^12 + 3979*T1^11*T2^12 - 
      26956*T1^12*T2^12 + 17416*T1^13*T2^12 - 2716*T1^14*T2^12 - 
      3104*T1^15*T2^12 + 1561*T1^16*T2^12 - 531*T1^5*T2^13 + 584*T1^6*T2^13 + 
      2862*T1^7*T2^13 - 9016*T1^8*T2^13 + 10012*T1^9*T2^13 + 
      4444*T1^10*T2^13 - 16760*T1^11*T2^13 + 17416*T1^12*T2^13 - 
      3412*T1^13*T2^13 - 4698*T1^14*T2^13 + 4352*T1^15*T2^13 - 
      1299*T1^16*T2^13 + 432*T1^6*T2^14 - 1402*T1^7*T2^14 + 1152*T1^8*T2^14 + 
      2582*T1^9*T2^14 - 8596*T1^10*T2^14 + 8664*T1^11*T2^14 - 
      2716*T1^12*T2^14 - 4698*T1^13*T2^14 + 5772*T1^14*T2^14 - 
      3082*T1^15*T2^14 + 712*T1^16*T2^14 - 197*T1^7*T2^15 + 932*T1^8*T2^15 - 
      1954*T1^9*T2^15 + 1976*T1^10*T2^15 + 280*T1^11*T2^15 - 
      3104*T1^12*T2^15 + 4352*T1^13*T2^15 - 3082*T1^14*T2^15 + 
      1268*T1^15*T2^15 - 245*T1^16*T2^15 + 41*T1^8*T2^16 - 245*T1^9*T2^16 + 
      712*T1^10*T2^16 - 1299*T1^11*T2^16 + 1561*T1^12*T2^16 - 
      1299*T1^13*T2^16 + 712*T1^14*T2^16 - 245*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1188] -> 
  {(1 - 9*T + 36*T^2 - 79*T^3 + 103*T^4 - 79*T^5 + 36*T^6 - 9*T^7 + T^8)/T^4, 
   ((1 - 9*T1 + 36*T1^2 - 79*T1^3 + 103*T1^4 - 79*T1^5 + 36*T1^6 - 9*T1^7 + 
      T1^8)*(-1 + T1*T2)^2*(1 + T1*T2)*(4 - 19*T1*T2 + 34*T1^2*T2^2 - 
      19*T1^3*T2^3 + 4*T1^4*T2^4)*(1 - 9*T2 + 36*T2^2 - 79*T2^3 + 103*T2^4 - 
      79*T2^5 + 36*T2^6 - 9*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 1189] -> 
  {(4 - 24*T + 63*T^2 - 85*T^3 + 63*T^4 - 24*T^5 + 4*T^6)/T^3, 
   (-272 + 1620*T1 - 4236*T1^2 + 5704*T1^3 - 4236*T1^4 + 1620*T1^5 - 
     272*T1^6 + 1620*T2 - 8416*T1*T2 + 17890*T1^2*T2 - 14796*T1^3*T2 - 
     588*T1^4*T2 + 9538*T1^5*T2 - 5728*T1^6*T2 + 1236*T1^7*T2 - 4236*T2^2 + 
     17890*T1*T2^2 - 24470*T1^2*T2^2 - 12318*T1^3*T2^2 + 53684*T1^4*T2^2 - 
     43062*T1^5*T2^2 + 5266*T1^6*T2^2 + 5794*T1^7*T2^2 - 2220*T1^8*T2^2 + 
     5704*T2^3 - 14796*T1*T2^3 - 12318*T1^2*T2^3 + 102816*T1^3*T2^3 - 
     119440*T1^4*T2^3 + 15596*T1^5*T2^3 + 62052*T1^6*T2^3 - 34242*T1^7*T2^3 + 
     3636*T1^8*T2^3 + 1624*T1^9*T2^3 - 4236*T2^4 - 588*T1*T2^4 + 
     53684*T1^2*T2^4 - 119440*T1^3*T2^4 - 5*T1^4*T2^4 + 193731*T1^5*T2^4 - 
     189413*T1^6*T2^4 + 35600*T1^7*T2^4 + 19268*T1^8*T2^4 - 8460*T1^9*T2^4 - 
     204*T1^10*T2^4 + 1620*T2^5 + 9538*T1*T2^5 - 43062*T1^2*T2^5 + 
     15596*T1^3*T2^5 + 193731*T1^4*T2^5 - 300971*T1^5*T2^5 + 
     110377*T1^6*T2^5 + 101310*T1^7*T2^5 - 79432*T1^8*T2^5 + 
     14142*T1^9*T2^5 + 2914*T1^10*T2^5 - 300*T1^11*T2^5 - 272*T2^6 - 
     5728*T1*T2^6 + 5266*T1^2*T2^6 + 62052*T1^3*T2^6 - 189413*T1^4*T2^6 + 
     110377*T1^5*T2^6 + 149580*T1^6*T2^6 - 240209*T1^7*T2^6 + 
     89137*T1^8*T2^6 + 8532*T1^9*T2^6 - 12230*T1^10*T2^6 + 1184*T1^11*T2^6 + 
     112*T1^12*T2^6 + 1236*T1*T2^7 + 5794*T1^2*T2^7 - 34242*T1^3*T2^7 + 
     35600*T1^4*T2^7 + 101310*T1^5*T2^7 - 240209*T1^6*T2^7 + 
     171139*T1^7*T2^7 + 8889*T1^8*T2^7 - 59428*T1^9*T2^7 + 22962*T1^10*T2^7 - 
     830*T1^11*T2^7 - 684*T1^12*T2^7 - 2220*T1^2*T2^8 + 3636*T1^3*T2^8 + 
     19268*T1^4*T2^8 - 79432*T1^5*T2^8 + 89137*T1^6*T2^8 + 8889*T1^7*T2^8 - 
     100271*T1^8*T2^8 + 75608*T1^9*T2^8 - 15148*T1^10*T2^8 - 
     4236*T1^11*T2^8 + 1812*T1^12*T2^8 + 1624*T1^3*T2^9 - 8460*T1^4*T2^9 + 
     14142*T1^5*T2^9 + 8532*T1^6*T2^9 - 59428*T1^7*T2^9 + 75608*T1^8*T2^9 - 
     32232*T1^9*T2^9 - 7782*T1^10*T2^9 + 9972*T1^11*T2^9 - 2456*T1^12*T2^9 - 
     204*T1^4*T2^10 + 2914*T1^5*T2^10 - 12230*T1^6*T2^10 + 22962*T1^7*T2^10 - 
     15148*T1^8*T2^10 - 7782*T1^9*T2^10 + 17506*T1^10*T2^10 - 
     9182*T1^11*T2^10 + 1812*T1^12*T2^10 - 300*T1^5*T2^11 + 1184*T1^6*T2^11 - 
     830*T1^7*T2^11 - 4236*T1^8*T2^11 + 9972*T1^9*T2^11 - 9182*T1^10*T2^11 + 
     3872*T1^11*T2^11 - 684*T1^12*T2^11 + 112*T1^6*T2^12 - 684*T1^7*T2^12 + 
     1812*T1^8*T2^12 - 2456*T1^9*T2^12 + 1812*T1^10*T2^12 - 684*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1190] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6))/T^4), 
   -((-5 + 45*T1 - 155*T1^2 + 305*T1^3 - 375*T1^4 + 305*T1^5 - 155*T1^6 + 
      45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 1070*T1^2*T2 - 1626*T1^3*T2 + 
      1177*T1^4*T2 - 47*T1^5*T2 - 798*T1^6*T2 + 710*T1^7*T2 - 279*T1^8*T2 + 
      36*T1^9*T2 - 155*T2^2 + 1070*T1*T2^2 - 1981*T1^2*T2^2 + 266*T1^3*T2^2 + 
      5177*T1^4*T2^2 - 9055*T1^5*T2^2 + 7905*T1^6*T2^2 - 2958*T1^7*T2^2 - 
      121*T1^8*T2^2 + 512*T1^9*T2^2 - 93*T1^10*T2^2 + 305*T2^3 - 
      1626*T1*T2^3 + 266*T1^2*T2^3 + 8488*T1^3*T2^3 - 20138*T1^4*T2^3 + 
      17708*T1^5*T2^3 - 3400*T1^6*T2^3 - 9842*T1^7*T2^3 + 8674*T1^8*T2^3 - 
      2617*T1^9*T2^3 - 258*T1^10*T2^3 + 122*T1^11*T2^3 - 375*T2^4 + 
      1177*T1*T2^4 + 5177*T1^2*T2^4 - 20138*T1^3*T2^4 + 25768*T1^4*T2^4 + 
      1159*T1^5*T2^4 - 29846*T1^6*T2^4 + 33871*T1^7*T2^4 - 9128*T1^8*T2^4 - 
      5498*T1^9*T2^4 + 4595*T1^10*T2^4 - 425*T1^11*T2^4 - 75*T1^12*T2^4 + 
      305*T2^5 - 47*T1*T2^5 - 9055*T1^2*T2^5 + 17708*T1^3*T2^5 + 
      1159*T1^4*T2^5 - 51451*T1^5*T2^5 + 61076*T1^6*T2^5 - 22000*T1^7*T2^5 - 
      28669*T1^8*T2^5 + 28194*T1^9*T2^5 - 7552*T1^10*T2^5 - 2176*T1^11*T2^5 + 
      673*T1^12*T2^5 - 155*T2^6 - 798*T1*T2^6 + 7905*T1^2*T2^6 - 
      3400*T1^3*T2^6 - 29846*T1^4*T2^6 + 61076*T1^5*T2^6 - 12597*T1^6*T2^6 - 
      59465*T1^7*T2^6 + 83391*T1^8*T2^6 - 29566*T1^9*T2^6 - 
      10352*T1^10*T2^6 + 11480*T1^11*T2^6 - 1443*T1^12*T2^6 - 
      276*T1^13*T2^6 + 31*T1^14*T2^6 + 45*T2^7 + 710*T1*T2^7 - 
      2958*T1^2*T2^7 - 9842*T1^3*T2^7 + 33871*T1^4*T2^7 - 22000*T1^5*T2^7 - 
      59465*T1^6*T2^7 + 100662*T1^7*T2^7 - 54792*T1^8*T2^7 - 
      30560*T1^9*T2^7 + 45944*T1^10*T2^7 - 15872*T1^11*T2^7 - 
      2762*T1^12*T2^7 + 1971*T1^13*T2^7 - 118*T1^14*T2^7 - 18*T1^15*T2^7 - 
      5*T2^8 - 279*T1*T2^8 - 121*T1^2*T2^8 + 8674*T1^3*T2^8 - 
      9128*T1^4*T2^8 - 28669*T1^5*T2^8 + 83391*T1^6*T2^8 - 54792*T1^7*T2^8 - 
      34560*T1^8*T2^8 + 87276*T1^9*T2^8 - 48535*T1^10*T2^8 - 
      3931*T1^11*T2^8 + 14012*T1^12*T2^8 - 3902*T1^13*T2^8 - 403*T1^14*T2^8 + 
      135*T1^15*T2^8 + 3*T1^16*T2^8 + 36*T1*T2^9 + 512*T1^2*T2^9 - 
      2617*T1^3*T2^9 - 5498*T1^4*T2^9 + 28194*T1^5*T2^9 - 29566*T1^6*T2^9 - 
      30560*T1^7*T2^9 + 87276*T1^8*T2^9 - 68178*T1^9*T2^9 - 1655*T1^10*T2^9 + 
      38378*T1^11*T2^9 - 21549*T1^12*T2^9 + 1582*T1^13*T2^9 + 
      2312*T1^14*T2^9 - 316*T1^15*T2^9 - 27*T1^16*T2^9 - 93*T1^2*T2^10 - 
      258*T1^3*T2^10 + 4595*T1^4*T2^10 - 7552*T1^5*T2^10 - 10352*T1^6*T2^10 + 
      45944*T1^7*T2^10 - 48535*T1^8*T2^10 - 1655*T1^9*T2^10 + 
      47453*T1^10*T2^10 - 44698*T1^11*T2^10 + 9142*T1^12*T2^10 + 
      7328*T1^13*T2^10 - 4753*T1^14*T2^10 + 264*T1^15*T2^10 + 
      93*T1^16*T2^10 + 122*T1^3*T2^11 - 425*T1^4*T2^11 - 2176*T1^5*T2^11 + 
      11480*T1^6*T2^11 - 15872*T1^7*T2^11 - 3931*T1^8*T2^11 + 
      38378*T1^9*T2^11 - 44698*T1^10*T2^11 + 18851*T1^11*T2^11 + 
      11163*T1^12*T2^11 - 13780*T1^13*T2^11 + 4703*T1^14*T2^11 + 
      295*T1^15*T2^11 - 183*T1^16*T2^11 - 75*T1^4*T2^12 + 673*T1^5*T2^12 - 
      1443*T1^6*T2^12 - 2762*T1^7*T2^12 + 14012*T1^8*T2^12 - 
      21549*T1^9*T2^12 + 9142*T1^10*T2^12 + 11163*T1^11*T2^12 - 
      20884*T1^12*T2^12 + 11878*T1^13*T2^12 - 2025*T1^14*T2^12 - 
      929*T1^15*T2^12 + 225*T1^16*T2^12 - 276*T1^6*T2^13 + 1971*T1^7*T2^13 - 
      3902*T1^8*T2^13 + 1582*T1^9*T2^13 + 7328*T1^10*T2^13 - 
      13780*T1^11*T2^13 + 11878*T1^12*T2^13 - 3716*T1^13*T2^13 - 
      912*T1^14*T2^13 + 1092*T1^15*T2^13 - 183*T1^16*T2^13 + 31*T1^6*T2^14 - 
      118*T1^7*T2^14 - 403*T1^8*T2^14 + 2312*T1^9*T2^14 - 4753*T1^10*T2^14 + 
      4703*T1^11*T2^14 - 2025*T1^12*T2^14 - 912*T1^13*T2^14 + 
      1457*T1^14*T2^14 - 676*T1^15*T2^14 + 93*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 316*T1^9*T2^15 + 264*T1^10*T2^15 + 295*T1^11*T2^15 - 
      929*T1^12*T2^15 + 1092*T1^13*T2^15 - 676*T1^14*T2^15 + 
      225*T1^15*T2^15 - 27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 
      93*T1^10*T2^16 - 183*T1^11*T2^16 + 225*T1^12*T2^16 - 183*T1^13*T2^16 + 
      93*T1^14*T2^16 - 27*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1191] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6))/T^5), 
   -((-3 + 15*T1 - 36*T1^2 + 60*T1^3 - 75*T1^4 + 81*T1^5 - 75*T1^6 + 
      60*T1^7 - 36*T1^8 + 15*T1^9 - 3*T1^10 + 15*T2 - 65*T1*T2 + 
      130*T1^2*T2 - 180*T1^3*T2 + 175*T1^4*T2 - 155*T1^5*T2 + 105*T1^6*T2 - 
      50*T1^7*T2 - 20*T1^8*T2 + 45*T1^9*T2 - 35*T1^10*T2 + 10*T1^11*T2 - 
      36*T2^2 + 130*T1*T2^2 - 196*T1^2*T2^2 + 189*T1^3*T2^2 - 64*T1^4*T2^2 - 
      7*T1^5*T2^2 + 116*T1^6*T2^2 - 175*T1^7*T2^2 + 248*T1^8*T2^2 - 
      171*T1^9*T2^2 + 68*T1^10*T2^2 + 10*T1^11*T2^2 - 12*T1^12*T2^2 + 
      60*T2^3 - 180*T1*T2^3 + 189*T1^2*T2^3 - 92*T1^3*T2^3 - 128*T1^4*T2^3 + 
      128*T1^5*T2^3 - 226*T1^6*T2^3 + 194*T1^7*T2^3 - 232*T1^8*T2^3 - 
      8*T1^9*T2^3 + 148*T1^10*T2^3 - 171*T1^11*T2^3 + 60*T1^12*T2^3 - 
      75*T2^4 + 175*T1*T2^4 - 64*T1^2*T2^4 - 128*T1^3*T2^4 + 379*T1^4*T2^4 - 
      227*T1^5*T2^4 + 322*T1^6*T2^4 - 185*T1^7*T2^4 + 222*T1^8*T2^4 + 
      173*T1^9*T2^4 - 221*T1^10*T2^4 + 72*T1^11*T2^4 + 136*T1^12*T2^4 - 
      125*T1^13*T2^4 + 25*T1^14*T2^4 + 81*T2^5 - 155*T1*T2^5 - 7*T1^2*T2^5 + 
      128*T1^3*T2^5 - 227*T1^4*T2^5 - 106*T1^5*T2^5 - 73*T1^6*T2^5 - 
      47*T1^7*T2^5 - 122*T1^8*T2^5 - 298*T1^9*T2^5 + 104*T1^10*T2^5 + 
      193*T1^11*T2^5 - 232*T1^12*T2^5 + 8*T1^13*T2^5 + 145*T1^14*T2^5 - 
      54*T1^15*T2^5 - 75*T2^6 + 105*T1*T2^6 + 116*T1^2*T2^6 - 226*T1^3*T2^6 + 
      322*T1^4*T2^6 - 73*T1^5*T2^6 + 402*T1^6*T2^6 - 222*T1^7*T2^6 + 
      270*T1^8*T2^6 + 348*T1^9*T2^6 - 78*T1^10*T2^6 - 163*T1^11*T2^6 - 
      128*T1^12*T2^6 + 254*T1^13*T2^6 - 184*T1^14*T2^6 - 105*T1^15*T2^6 + 
      75*T1^16*T2^6 + 60*T2^7 - 50*T1*T2^7 - 175*T1^2*T2^7 + 194*T1^3*T2^7 - 
      185*T1^4*T2^7 - 47*T1^5*T2^7 - 222*T1^6*T2^7 + 19*T1^7*T2^7 - 
      101*T1^8*T2^7 - 221*T1^9*T2^7 - 383*T1^10*T2^7 + 618*T1^11*T2^7 + 
      20*T1^12*T2^7 + 151*T1^13*T2^7 - 146*T1^14*T2^7 + 298*T1^15*T2^7 + 
      25*T1^16*T2^7 - 80*T1^17*T2^7 - 36*T2^8 - 20*T1*T2^8 + 248*T1^2*T2^8 - 
      232*T1^3*T2^8 + 222*T1^4*T2^8 - 122*T1^5*T2^8 + 270*T1^6*T2^8 - 
      101*T1^7*T2^8 + 9*T1^8*T2^8 + 201*T1^9*T2^8 + 105*T1^10*T2^8 + 
      19*T1^11*T2^8 - 930*T1^12*T2^8 + 166*T1^13*T2^8 - 378*T1^14*T2^8 + 
      128*T1^15*T2^8 - 400*T1^16*T2^8 + 100*T1^17*T2^8 + 60*T1^18*T2^8 + 
      15*T2^9 + 45*T1*T2^9 - 171*T1^2*T2^9 - 8*T1^3*T2^9 + 173*T1^4*T2^9 - 
      298*T1^5*T2^9 + 348*T1^6*T2^9 - 221*T1^7*T2^9 + 201*T1^8*T2^9 + 
      292*T1^9*T2^9 - 578*T1^10*T2^9 + 606*T1^11*T2^9 + 379*T1^12*T2^9 + 
      588*T1^13*T2^9 + 467*T1^14*T2^9 - 127*T1^15*T2^9 + 352*T1^16*T2^9 + 
      189*T1^17*T2^9 - 150*T1^18*T2^9 - 30*T1^19*T2^9 - 3*T2^10 - 
      35*T1*T2^10 + 68*T1^2*T2^10 + 148*T1^3*T2^10 - 221*T1^4*T2^10 + 
      104*T1^5*T2^10 - 78*T1^6*T2^10 - 383*T1^7*T2^10 + 105*T1^8*T2^10 - 
      578*T1^9*T2^10 - 276*T1^10*T2^10 + 662*T1^11*T2^10 - 1989*T1^12*T2^10 + 
      739*T1^13*T2^10 - 1878*T1^14*T2^10 + 504*T1^15*T2^10 - 
      353*T1^16*T2^10 - 372*T1^17*T2^10 + 52*T1^18*T2^10 + 115*T1^19*T2^10 + 
      7*T1^20*T2^10 + 10*T1*T2^11 + 10*T1^2*T2^11 - 171*T1^3*T2^11 + 
      72*T1^4*T2^11 + 193*T1^5*T2^11 - 163*T1^6*T2^11 + 618*T1^7*T2^11 + 
      19*T1^8*T2^11 + 606*T1^9*T2^11 + 662*T1^10*T2^11 - 208*T1^11*T2^11 + 
      1011*T1^12*T2^11 + 619*T1^13*T2^11 + 858*T1^14*T2^11 + 
      602*T1^15*T2^11 - 107*T1^16*T2^11 + 432*T1^17*T2^11 + 189*T1^18*T2^11 - 
      185*T1^19*T2^11 - 35*T1^20*T2^11 - 12*T1^2*T2^12 + 60*T1^3*T2^12 + 
      136*T1^4*T2^12 - 232*T1^5*T2^12 - 128*T1^6*T2^12 + 20*T1^7*T2^12 - 
      930*T1^8*T2^12 + 379*T1^9*T2^12 - 1989*T1^10*T2^12 + 1011*T1^11*T2^12 - 
      1893*T1^12*T2^12 + 499*T1^13*T2^12 - 2130*T1^14*T2^12 + 
      308*T1^15*T2^12 - 728*T1^16*T2^12 + 128*T1^17*T2^12 - 512*T1^18*T2^12 + 
      180*T1^19*T2^12 + 84*T1^20*T2^12 - 125*T1^4*T2^13 + 8*T1^5*T2^13 + 
      254*T1^6*T2^13 + 151*T1^7*T2^13 + 166*T1^8*T2^13 + 588*T1^9*T2^13 + 
      739*T1^10*T2^13 + 619*T1^11*T2^13 + 499*T1^12*T2^13 + 337*T1^13*T2^13 + 
      1428*T1^14*T2^13 + 233*T1^15*T2^13 + 487*T1^16*T2^13 - 86*T1^17*T2^13 + 
      481*T1^18*T2^13 - 50*T1^19*T2^13 - 140*T1^20*T2^13 + 25*T1^4*T2^14 + 
      145*T1^5*T2^14 - 184*T1^6*T2^14 - 146*T1^7*T2^14 - 378*T1^8*T2^14 + 
      467*T1^9*T2^14 - 1878*T1^10*T2^14 + 858*T1^11*T2^14 - 
      2130*T1^12*T2^14 + 1428*T1^13*T2^14 - 2358*T1^14*T2^14 + 
      377*T1^15*T2^14 - 828*T1^16*T2^14 + 334*T1^17*T2^14 - 484*T1^18*T2^14 - 
      65*T1^19*T2^14 + 175*T1^20*T2^14 - 54*T1^5*T2^15 - 105*T1^6*T2^15 + 
      298*T1^7*T2^15 + 128*T1^8*T2^15 - 127*T1^9*T2^15 + 504*T1^10*T2^15 + 
      602*T1^11*T2^15 + 308*T1^12*T2^15 + 233*T1^13*T2^15 + 377*T1^14*T2^15 + 
      714*T1^15*T2^15 + 293*T1^16*T2^15 - 232*T1^17*T2^15 + 313*T1^18*T2^15 + 
      195*T1^19*T2^15 - 189*T1^20*T2^15 + 75*T1^6*T2^16 + 25*T1^7*T2^16 - 
      400*T1^8*T2^16 + 352*T1^9*T2^16 - 353*T1^10*T2^16 - 107*T1^11*T2^16 - 
      728*T1^12*T2^16 + 487*T1^13*T2^16 - 828*T1^14*T2^16 + 293*T1^15*T2^16 - 
      953*T1^16*T2^16 + 552*T1^17*T2^16 - 200*T1^18*T2^16 - 275*T1^19*T2^16 + 
      175*T1^20*T2^16 - 80*T1^7*T2^17 + 100*T1^8*T2^17 + 189*T1^9*T2^17 - 
      372*T1^10*T2^17 + 432*T1^11*T2^17 + 128*T1^12*T2^17 - 86*T1^13*T2^17 + 
      334*T1^14*T2^17 - 232*T1^15*T2^17 + 552*T1^16*T2^17 - 132*T1^17*T2^17 - 
      171*T1^18*T2^17 + 340*T1^19*T2^17 - 140*T1^20*T2^17 + 60*T1^8*T2^18 - 
      150*T1^9*T2^18 + 52*T1^10*T2^18 + 189*T1^11*T2^18 - 512*T1^12*T2^18 + 
      481*T1^13*T2^18 - 484*T1^14*T2^18 + 313*T1^15*T2^18 - 200*T1^16*T2^18 - 
      171*T1^17*T2^18 + 316*T1^18*T2^18 - 270*T1^19*T2^18 + 84*T1^20*T2^18 - 
      30*T1^9*T2^19 + 115*T1^10*T2^19 - 185*T1^11*T2^19 + 180*T1^12*T2^19 - 
      50*T1^13*T2^19 - 65*T1^14*T2^19 + 195*T1^15*T2^19 - 275*T1^16*T2^19 + 
      340*T1^17*T2^19 - 270*T1^18*T2^19 + 145*T1^19*T2^19 - 35*T1^20*T2^19 + 
      7*T1^10*T2^20 - 35*T1^11*T2^20 + 84*T1^12*T2^20 - 140*T1^13*T2^20 + 
      175*T1^14*T2^20 - 189*T1^15*T2^20 + 175*T1^16*T2^20 - 140*T1^17*T2^20 + 
      84*T1^18*T2^20 - 35*T1^19*T2^20 + 7*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1192] -> 
  {-((2 - 11*T + 28*T^2 - 46*T^3 + 53*T^4 - 46*T^5 + 28*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-23 + 127*T1 - 324*T1^2 + 533*T1^3 - 615*T1^4 + 533*T1^5 - 
      324*T1^6 + 127*T1^7 - 23*T1^8 + 127*T2 - 618*T1*T2 + 1329*T1^2*T2 - 
      1769*T1^3*T2 + 1464*T1^4*T2 - 714*T1^5*T2 - 141*T1^6*T2 + 471*T1^7*T2 - 
      332*T1^8*T2 + 83*T1^9*T2 - 324*T2^2 + 1329*T1*T2^2 - 2133*T1^2*T2^2 + 
      1625*T1^3*T2^2 + 485*T1^4*T2^2 - 2325*T1^5*T2^2 + 3285*T1^6*T2^2 - 
      2295*T1^7*T2^2 + 779*T1^8*T2^2 + 97*T1^9*T2^2 - 100*T1^10*T2^2 + 
      533*T2^3 - 1769*T1*T2^3 + 1625*T1^2*T2^3 + 928*T1^3*T2^3 - 
      4726*T1^4*T2^3 + 5642*T1^5*T2^3 - 4426*T1^6*T2^3 + 402*T1^7*T2^3 + 
      2164*T1^8*T2^3 - 2099*T1^9*T2^3 + 651*T1^10*T2^3 - 19*T1^11*T2^3 - 
      615*T2^4 + 1464*T1*T2^4 + 485*T1^2*T2^4 - 4726*T1^3*T2^4 + 
      7698*T1^4*T2^4 - 4470*T1^5*T2^4 - 228*T1^6*T2^4 + 5990*T1^7*T2^4 - 
      6098*T1^8*T2^4 + 2082*T1^9*T2^4 + 1225*T1^10*T2^4 - 1176*T1^11*T2^4 + 
      233*T1^12*T2^4 + 533*T2^5 - 714*T1*T2^5 - 2325*T1^2*T2^5 + 
      5642*T1^3*T2^5 - 4470*T1^4*T2^5 - 3003*T1^5*T2^5 + 7304*T1^6*T2^5 - 
      8722*T1^7*T2^5 + 2453*T1^8*T2^5 + 4870*T1^9*T2^5 - 5426*T1^10*T2^5 + 
      1458*T1^11*T2^5 + 848*T1^12*T2^5 - 387*T1^13*T2^5 - 324*T2^6 - 
      141*T1*T2^6 + 3285*T1^2*T2^6 - 4426*T1^3*T2^6 - 228*T1^4*T2^6 + 
      7304*T1^5*T2^6 - 6847*T1^6*T2^6 + 2557*T1^7*T2^6 + 5249*T1^8*T2^6 - 
      8808*T1^9*T2^6 + 1644*T1^10*T2^6 + 4142*T1^11*T2^6 - 3635*T1^12*T2^6 + 
      211*T1^13*T2^6 + 348*T1^14*T2^6 + 127*T2^7 + 471*T1*T2^7 - 
      2295*T1^2*T2^7 + 402*T1^3*T2^7 + 5990*T1^4*T2^7 - 8722*T1^5*T2^7 + 
      2557*T1^6*T2^7 + 5080*T1^7*T2^7 - 8404*T1^8*T2^7 + 5281*T1^9*T2^7 + 
      7132*T1^10*T2^7 - 7830*T1^11*T2^7 + 1994*T1^12*T2^7 + 2605*T1^13*T2^7 - 
      915*T1^14*T2^7 - 181*T1^15*T2^7 - 23*T2^8 - 332*T1*T2^8 + 
      779*T1^2*T2^8 + 2164*T1^3*T2^8 - 6098*T1^4*T2^8 + 2453*T1^5*T2^8 + 
      5249*T1^6*T2^8 - 8404*T1^7*T2^8 + 1140*T1^8*T2^8 + 6160*T1^9*T2^8 - 
      15435*T1^10*T2^8 + 5235*T1^11*T2^8 + 3458*T1^12*T2^8 - 
      5012*T1^13*T2^8 - 39*T1^14*T2^8 + 768*T1^15*T2^8 + 41*T1^16*T2^8 + 
      83*T1*T2^9 + 97*T1^2*T2^9 - 2099*T1^3*T2^9 + 2082*T1^4*T2^9 + 
      4870*T1^5*T2^9 - 8808*T1^6*T2^9 + 5281*T1^7*T2^9 + 6160*T1^8*T2^9 - 
      7324*T1^9*T2^9 + 8005*T1^10*T2^9 + 7046*T1^11*T2^9 - 8950*T1^12*T2^9 + 
      3674*T1^13*T2^9 + 2801*T1^14*T2^9 - 1289*T1^15*T2^9 - 225*T1^16*T2^9 - 
      100*T1^2*T2^10 + 651*T1^3*T2^10 + 1225*T1^4*T2^10 - 5426*T1^5*T2^10 + 
      1644*T1^6*T2^10 + 7132*T1^7*T2^10 - 15435*T1^8*T2^10 + 
      8005*T1^9*T2^10 - 3339*T1^10*T2^10 - 8980*T1^11*T2^10 + 
      3516*T1^12*T2^10 + 3142*T1^13*T2^10 - 5695*T1^14*T2^10 + 
      1003*T1^15*T2^10 + 572*T1^16*T2^10 - 19*T1^3*T2^11 - 1176*T1^4*T2^11 + 
      1458*T1^5*T2^11 + 4142*T1^6*T2^11 - 7830*T1^7*T2^11 + 5235*T1^8*T2^11 + 
      7046*T1^9*T2^11 - 8980*T1^10*T2^11 + 10691*T1^11*T2^11 + 
      1510*T1^12*T2^11 - 6926*T1^13*T2^11 + 5241*T1^14*T2^11 + 
      386*T1^15*T2^11 - 939*T1^16*T2^11 + 233*T1^4*T2^12 + 848*T1^5*T2^12 - 
      3635*T1^6*T2^12 + 1994*T1^7*T2^12 + 3458*T1^8*T2^12 - 8950*T1^9*T2^12 + 
      3516*T1^10*T2^12 + 1510*T1^11*T2^12 - 10338*T1^12*T2^12 + 
      8802*T1^13*T2^12 - 2895*T1^14*T2^12 - 1792*T1^15*T2^12 + 
      1081*T1^16*T2^12 - 387*T1^5*T2^13 + 211*T1^6*T2^13 + 2605*T1^7*T2^13 - 
      5012*T1^8*T2^13 + 3674*T1^9*T2^13 + 3142*T1^10*T2^13 - 
      6926*T1^11*T2^13 + 8802*T1^12*T2^13 - 3776*T1^13*T2^13 - 
      1119*T1^14*T2^13 + 2631*T1^15*T2^13 - 939*T1^16*T2^13 + 
      348*T1^6*T2^14 - 915*T1^7*T2^14 - 39*T1^8*T2^14 + 2801*T1^9*T2^14 - 
      5695*T1^10*T2^14 + 5241*T1^11*T2^14 - 2895*T1^12*T2^14 - 
      1119*T1^13*T2^14 + 2873*T1^14*T2^14 - 2147*T1^15*T2^14 + 
      572*T1^16*T2^14 - 181*T1^7*T2^15 + 768*T1^8*T2^15 - 1289*T1^9*T2^15 + 
      1003*T1^10*T2^15 + 386*T1^11*T2^15 - 1792*T1^12*T2^15 + 
      2631*T1^13*T2^15 - 2147*T1^14*T2^15 + 1054*T1^15*T2^15 - 
      225*T1^16*T2^15 + 41*T1^8*T2^16 - 225*T1^9*T2^16 + 572*T1^10*T2^16 - 
      939*T1^11*T2^16 + 1081*T1^12*T2^16 - 939*T1^13*T2^16 + 
      572*T1^14*T2^16 - 225*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1193] -> 
  {-((2 - 13*T + 38*T^2 - 68*T^3 + 81*T^4 - 68*T^5 + 38*T^6 - 13*T^7 + 2*T^8)/
     T^4), -((-23 + 151*T1 - 444*T1^2 + 797*T1^3 - 951*T1^4 + 797*T1^5 - 
      444*T1^6 + 151*T1^7 - 23*T1^8 + 151*T2 - 892*T1*T2 + 2261*T1^2*T2 - 
      3305*T1^3*T2 + 2778*T1^4*T2 - 1096*T1^5*T2 - 549*T1^6*T2 + 
      935*T1^7*T2 - 502*T1^8*T2 + 99*T1^9*T2 - 444*T2^2 + 2261*T1*T2^2 - 
      4416*T1^2*T2^2 + 3681*T1^3*T2^2 + 1561*T1^4*T2^2 - 6664*T1^5*T2^2 + 
      8097*T1^6*T2^2 - 4679*T1^7*T2^2 + 1056*T1^8*T2^2 + 285*T1^9*T2^2 - 
      140*T1^10*T2^2 + 797*T2^3 - 3305*T1*T2^3 + 3681*T1^2*T2^3 + 
      3318*T1^3*T2^3 - 15291*T1^4*T2^3 + 18698*T1^5*T2^3 - 11660*T1^6*T2^3 - 
      1279*T1^7*T2^3 + 6684*T1^8*T2^3 - 4413*T1^9*T2^3 + 1011*T1^10*T2^3 - 
      19*T1^11*T2^3 - 951*T2^4 + 2778*T1*T2^4 + 1561*T1^2*T2^4 - 
      15291*T1^3*T2^4 + 26187*T1^4*T2^4 - 14137*T1^5*T2^4 - 8883*T1^6*T2^4 + 
      26247*T1^7*T2^4 - 19861*T1^8*T2^4 + 4293*T1^9*T2^4 + 3201*T1^10*T2^4 - 
      2110*T1^11*T2^4 + 345*T1^12*T2^4 + 797*T2^5 - 1096*T1*T2^5 - 
      6664*T1^2*T2^5 + 18698*T1^3*T2^5 - 14137*T1^4*T2^5 - 19145*T1^5*T2^5 + 
      44588*T1^6*T2^5 - 40254*T1^7*T2^5 + 5413*T1^8*T2^5 + 20129*T1^9*T2^5 - 
      16344*T1^10*T2^5 + 3395*T1^11*T2^5 + 1426*T1^12*T2^5 - 563*T1^13*T2^5 - 
      444*T2^6 - 549*T1*T2^6 + 8097*T1^2*T2^6 - 11660*T1^3*T2^6 - 
      8883*T1^4*T2^6 + 44588*T1^5*T2^6 - 44042*T1^6*T2^6 + 2660*T1^7*T2^6 + 
      42602*T1^8*T2^6 - 45656*T1^9*T2^6 + 9221*T1^10*T2^6 + 
      11672*T1^11*T2^6 - 8231*T1^12*T2^6 + 595*T1^13*T2^6 + 468*T1^14*T2^6 + 
      151*T2^7 + 935*T1*T2^7 - 4679*T1^2*T2^7 - 1279*T1^3*T2^7 + 
      26247*T1^4*T2^7 - 40254*T1^5*T2^7 + 2660*T1^6*T2^7 + 55386*T1^7*T2^7 - 
      66834*T1^8*T2^7 + 23804*T1^9*T2^7 + 33784*T1^10*T2^7 - 
      32491*T1^11*T2^7 + 6997*T1^12*T2^7 + 5011*T1^13*T2^7 - 
      1639*T1^14*T2^7 - 213*T1^15*T2^7 - 23*T2^8 - 502*T1*T2^8 + 
      1056*T1^2*T2^8 + 6684*T1^3*T2^8 - 19861*T1^4*T2^8 + 5413*T1^5*T2^8 + 
      42602*T1^6*T2^8 - 66834*T1^7*T2^8 + 15144*T1^8*T2^8 + 49238*T1^9*T2^8 - 
      77470*T1^10*T2^8 + 25531*T1^11*T2^8 + 13043*T1^12*T2^8 - 
      13552*T1^13*T2^8 + 642*T1^14*T2^8 + 1110*T1^15*T2^8 + 41*T1^16*T2^8 + 
      99*T1*T2^9 + 285*T1^2*T2^9 - 4413*T1^3*T2^9 + 4293*T1^4*T2^9 + 
      20129*T1^5*T2^9 - 45656*T1^6*T2^9 + 23804*T1^7*T2^9 + 49238*T1^8*T2^9 - 
      72982*T1^9*T2^9 + 44948*T1^10*T2^9 + 28382*T1^11*T2^9 - 
      38609*T1^12*T2^9 + 12569*T1^13*T2^9 + 5277*T1^14*T2^9 - 
      2289*T1^15*T2^9 - 265*T1^16*T2^9 - 140*T1^2*T2^10 + 1011*T1^3*T2^10 + 
      3201*T1^4*T2^10 - 16344*T1^5*T2^10 + 9221*T1^6*T2^10 + 
      33784*T1^7*T2^10 - 77470*T1^8*T2^10 + 44948*T1^9*T2^10 + 
      9174*T1^10*T2^10 - 56460*T1^11*T2^10 + 27325*T1^12*T2^10 + 
      6988*T1^13*T2^10 - 13127*T1^14*T2^10 + 2155*T1^15*T2^10 + 
      772*T1^16*T2^10 - 19*T1^3*T2^11 - 2110*T1^4*T2^11 + 3395*T1^5*T2^11 + 
      11672*T1^6*T2^11 - 32491*T1^7*T2^11 + 25531*T1^8*T2^11 + 
      28382*T1^9*T2^11 - 56460*T1^10*T2^11 + 50089*T1^11*T2^11 + 
      1775*T1^12*T2^11 - 23370*T1^13*T2^11 + 13454*T1^14*T2^11 + 
      412*T1^15*T2^11 - 1379*T1^16*T2^11 + 345*T1^4*T2^12 + 1426*T1^5*T2^12 - 
      8231*T1^6*T2^12 + 6997*T1^7*T2^12 + 13043*T1^8*T2^12 - 
      38609*T1^9*T2^12 + 27325*T1^10*T2^12 + 1775*T1^11*T2^12 - 
      33005*T1^12*T2^12 + 26581*T1^13*T2^12 - 6591*T1^14*T2^12 - 
      3462*T1^15*T2^12 + 1641*T1^16*T2^12 - 563*T1^5*T2^13 + 595*T1^6*T2^13 + 
      5011*T1^7*T2^13 - 13552*T1^8*T2^13 + 12569*T1^9*T2^13 + 
      6988*T1^10*T2^13 - 23370*T1^11*T2^13 + 26581*T1^12*T2^13 - 
      10186*T1^13*T2^13 - 3083*T1^14*T2^13 + 4911*T1^15*T2^13 - 
      1379*T1^16*T2^13 + 468*T1^6*T2^14 - 1639*T1^7*T2^14 + 642*T1^8*T2^14 + 
      5277*T1^9*T2^14 - 13127*T1^10*T2^14 + 13454*T1^11*T2^14 - 
      6591*T1^12*T2^14 - 3083*T1^13*T2^14 + 6114*T1^14*T2^14 - 
      3615*T1^15*T2^14 + 772*T1^16*T2^14 - 213*T1^7*T2^15 + 1110*T1^8*T2^15 - 
      2289*T1^9*T2^15 + 2155*T1^10*T2^15 + 412*T1^11*T2^15 - 
      3462*T1^12*T2^15 + 4911*T1^13*T2^15 - 3615*T1^14*T2^15 + 
      1500*T1^15*T2^15 - 265*T1^16*T2^15 + 41*T1^8*T2^16 - 265*T1^9*T2^16 + 
      772*T1^10*T2^16 - 1379*T1^11*T2^16 + 1641*T1^12*T2^16 - 
      1379*T1^13*T2^16 + 772*T1^14*T2^16 - 265*T1^15*T2^16 + 41*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1194] -> 
  {-(((2 - 2*T + T^2)*(1 - 2*T + 2*T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-25 + 125*T1 - 288*T1^2 + 427*T1^3 - 465*T1^4 + 427*T1^5 - 288*T1^6 + 
      125*T1^7 - 25*T1^8 + 125*T2 - 540*T1*T2 + 1015*T1^2*T2 - 1155*T1^3*T2 + 
      870*T1^4*T2 - 550*T1^5*T2 - 15*T1^6*T2 + 355*T1^7*T2 - 300*T1^8*T2 + 
      85*T1^9*T2 - 288*T2^2 + 1015*T1*T2^2 - 1309*T1^2*T2^2 + 594*T1^3*T2^2 + 
      601*T1^4*T2^2 - 1063*T1^5*T2^2 + 1889*T1^6*T2^2 - 1614*T1^7*T2^2 + 
      623*T1^8*T2^2 + 95*T1^9*T2^2 - 104*T1^10*T2^2 + 427*T2^3 - 
      1155*T1*T2^3 + 594*T1^2*T2^3 + 1230*T1^3*T2^3 - 2642*T1^4*T2^3 + 
      2085*T1^5*T2^3 - 2617*T1^6*T2^3 + 880*T1^7*T2^3 + 984*T1^8*T2^3 - 
      1338*T1^9*T2^3 + 425*T1^10*T2^3 + 19*T1^11*T2^3 - 465*T2^4 + 
      870*T1*T2^4 + 601*T1^2*T2^4 - 2642*T1^3*T2^4 + 2876*T1^4*T2^4 - 
      653*T1^5*T2^4 + 1138*T1^6*T2^4 + 1763*T1^7*T2^4 - 3084*T1^8*T2^4 + 
      1574*T1^9*T2^4 + 609*T1^10*T2^4 - 730*T1^11*T2^4 + 127*T1^12*T2^4 + 
      427*T2^5 - 550*T1*T2^5 - 1063*T1^2*T2^5 + 2085*T1^3*T2^5 - 
      653*T1^4*T2^5 - 2104*T1^5*T2^5 + 349*T1^6*T2^5 - 3123*T1^7*T2^5 + 
      2540*T1^8*T2^5 + 921*T1^9*T2^5 - 2501*T1^10*T2^5 + 653*T1^11*T2^5 + 
      630*T1^12*T2^5 - 253*T1^13*T2^5 - 288*T2^6 - 15*T1*T2^6 + 
      1889*T1^2*T2^6 - 2617*T1^3*T2^6 + 1138*T1^4*T2^6 + 349*T1^5*T2^6 + 
      2190*T1^6*T2^6 + 1632*T1^7*T2^6 - 826*T1^8*T2^6 - 2283*T1^9*T2^6 + 
      852*T1^10*T2^6 + 2259*T1^11*T2^6 - 1959*T1^12*T2^6 - 55*T1^13*T2^6 + 
      264*T1^14*T2^6 + 125*T2^7 + 355*T1*T2^7 - 1614*T1^2*T2^7 + 
      880*T1^3*T2^7 + 1763*T1^4*T2^7 - 3123*T1^5*T2^7 + 1632*T1^6*T2^7 - 
      5468*T1^7*T2^7 + 2666*T1^8*T2^7 + 1256*T1^9*T2^7 + 2029*T1^10*T2^7 - 
      3179*T1^11*T2^7 + 134*T1^12*T2^7 + 1974*T1^13*T2^7 - 545*T1^14*T2^7 - 
      155*T1^15*T2^7 - 25*T2^8 - 300*T1*T2^8 + 623*T1^2*T2^8 + 
      984*T1^3*T2^8 - 3084*T1^4*T2^8 + 2540*T1^5*T2^8 - 826*T1^6*T2^8 + 
      2666*T1^7*T2^8 + 972*T1^8*T2^8 - 3470*T1^9*T2^8 - 1918*T1^10*T2^8 + 
      260*T1^11*T2^8 + 3248*T1^12*T2^8 - 2840*T1^13*T2^8 - 409*T1^14*T2^8 + 
      580*T1^15*T2^8 + 39*T1^16*T2^8 + 85*T1*T2^9 + 95*T1^2*T2^9 - 
      1338*T1^3*T2^9 + 1574*T1^4*T2^9 + 921*T1^5*T2^9 - 2283*T1^6*T2^9 + 
      1256*T1^7*T2^9 - 3470*T1^8*T2^9 + 4664*T1^9*T2^9 + 880*T1^10*T2^9 + 
      2869*T1^11*T2^9 - 4021*T1^12*T2^9 + 828*T1^13*T2^9 + 2250*T1^14*T2^9 - 
      805*T1^15*T2^9 - 195*T1^16*T2^9 - 104*T1^2*T2^10 + 425*T1^3*T2^10 + 
      609*T1^4*T2^10 - 2501*T1^5*T2^10 + 852*T1^6*T2^10 + 2029*T1^7*T2^10 - 
      1918*T1^8*T2^10 + 880*T1^9*T2^10 - 4934*T1^10*T2^10 - 603*T1^11*T2^10 + 
      566*T1^12*T2^10 + 2375*T1^13*T2^10 - 3239*T1^14*T2^10 + 
      385*T1^15*T2^10 + 448*T1^16*T2^10 + 19*T1^3*T2^11 - 730*T1^4*T2^11 + 
      653*T1^5*T2^11 + 2259*T1^6*T2^11 - 3179*T1^7*T2^11 + 260*T1^8*T2^11 + 
      2869*T1^9*T2^11 - 603*T1^10*T2^11 + 4904*T1^11*T2^11 - 
      1605*T1^12*T2^11 - 2327*T1^13*T2^11 + 2369*T1^14*T2^11 + 
      450*T1^15*T2^11 - 661*T1^16*T2^11 + 127*T1^4*T2^12 + 630*T1^5*T2^12 - 
      1959*T1^6*T2^12 + 134*T1^7*T2^12 + 3248*T1^8*T2^12 - 4021*T1^9*T2^12 + 
      566*T1^10*T2^12 - 1605*T1^11*T2^12 - 2712*T1^12*T2^12 + 
      4350*T1^13*T2^12 - 1951*T1^14*T2^12 - 970*T1^15*T2^12 + 
      719*T1^16*T2^12 - 253*T1^5*T2^13 - 55*T1^6*T2^13 + 1974*T1^7*T2^13 - 
      2840*T1^8*T2^13 + 828*T1^9*T2^13 + 2375*T1^10*T2^13 - 
      2327*T1^11*T2^13 + 4350*T1^12*T2^13 - 3086*T1^13*T2^13 + 
      42*T1^14*T2^13 + 1525*T1^15*T2^13 - 661*T1^16*T2^13 + 264*T1^6*T2^14 - 
      545*T1^7*T2^14 - 409*T1^8*T2^14 + 2250*T1^9*T2^14 - 3239*T1^10*T2^14 + 
      2369*T1^11*T2^14 - 1951*T1^12*T2^14 + 42*T1^13*T2^14 + 
      1523*T1^14*T2^14 - 1465*T1^15*T2^14 + 448*T1^16*T2^14 - 
      155*T1^7*T2^15 + 580*T1^8*T2^15 - 805*T1^9*T2^15 + 385*T1^10*T2^15 + 
      450*T1^11*T2^15 - 970*T1^12*T2^15 + 1525*T1^13*T2^15 - 
      1465*T1^14*T2^15 + 820*T1^15*T2^15 - 195*T1^16*T2^15 + 39*T1^8*T2^16 - 
      195*T1^9*T2^16 + 448*T1^10*T2^16 - 661*T1^11*T2^16 + 719*T1^12*T2^16 - 
      661*T1^13*T2^16 + 448*T1^14*T2^16 - 195*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1195] -> 
  {-((1 - 9*T + 29*T^2 - 51*T^3 + 59*T^4 - 51*T^5 + 29*T^6 - 9*T^7 + T^8)/
     T^4), -((-5 + 45*T1 - 145*T1^2 + 255*T1^3 - 295*T1^4 + 255*T1^5 - 
      145*T1^6 + 45*T1^7 - 5*T1^8 + 45*T2 - 369*T1*T2 + 980*T1^2*T2 - 
      1248*T1^3*T2 + 817*T1^4*T2 - 173*T1^5*T2 - 528*T1^6*T2 + 638*T1^7*T2 - 
      279*T1^8*T2 + 36*T1^9*T2 - 145*T2^2 + 980*T1*T2^2 - 1369*T1^2*T2^2 - 
      1229*T1^3*T2^2 + 5435*T1^4*T2^2 - 7255*T1^5*T2^2 + 7175*T1^6*T2^2 - 
      3665*T1^7*T2^2 + 255*T1^8*T2^2 + 458*T1^9*T2^2 - 87*T1^10*T2^2 + 
      255*T2^3 - 1248*T1*T2^3 - 1229*T1^2*T2^3 + 10346*T1^3*T2^3 - 
      16394*T1^4*T2^3 + 11609*T1^5*T2^3 - 4861*T1^6*T2^3 - 5918*T1^7*T2^3 + 
      8384*T1^8*T2^3 - 3056*T1^9*T2^3 - 132*T1^10*T2^3 + 102*T1^11*T2^3 - 
      295*T2^4 + 817*T1*T2^4 + 5435*T1^2*T2^4 - 16394*T1^3*T2^4 + 
      10975*T1^4*T2^4 + 10107*T1^5*T2^4 - 19973*T1^6*T2^4 + 27735*T1^7*T2^4 - 
      13893*T1^8*T2^4 - 2726*T1^9*T2^4 + 4017*T1^10*T2^4 - 389*T1^11*T2^4 - 
      59*T1^12*T2^4 + 255*T2^5 - 173*T1*T2^5 - 7255*T1^2*T2^5 + 
      11609*T1^3*T2^5 + 10107*T1^4*T2^5 - 34941*T1^5*T2^5 + 27054*T1^6*T2^5 - 
      17886*T1^7*T2^5 - 11685*T1^8*T2^5 + 21696*T1^9*T2^5 - 6793*T1^10*T2^5 - 
      1792*T1^11*T2^5 + 529*T1^12*T2^5 - 145*T2^6 - 528*T1*T2^6 + 
      7175*T1^2*T2^6 - 4861*T1^3*T2^6 - 19973*T1^4*T2^6 + 27054*T1^5*T2^6 + 
      4482*T1^6*T2^6 - 17614*T1^7*T2^6 + 34902*T1^8*T2^6 - 19056*T1^9*T2^6 - 
      7527*T1^10*T2^6 + 8711*T1^11*T2^6 - 881*T1^12*T2^6 - 258*T1^13*T2^6 + 
      29*T1^14*T2^6 + 45*T2^7 + 638*T1*T2^7 - 3665*T1^2*T2^7 - 
      5918*T1^3*T2^7 + 27735*T1^4*T2^7 - 17886*T1^5*T2^7 - 17614*T1^6*T2^7 + 
      14654*T1^7*T2^7 - 10336*T1^8*T2^7 - 12577*T1^9*T2^7 + 
      24714*T1^10*T2^7 - 8010*T1^11*T2^7 - 3626*T1^12*T2^7 + 
      1816*T1^13*T2^7 - 100*T1^14*T2^7 - 18*T1^15*T2^7 - 5*T2^8 - 
      279*T1*T2^8 + 255*T1^2*T2^8 + 8384*T1^3*T2^8 - 13893*T1^4*T2^8 - 
      11685*T1^5*T2^8 + 34902*T1^6*T2^8 - 10336*T1^7*T2^8 - 6444*T1^8*T2^8 + 
      17972*T1^9*T2^8 - 13024*T1^10*T2^8 - 9327*T1^11*T2^8 + 
      12531*T1^12*T2^8 - 3004*T1^13*T2^8 - 523*T1^14*T2^8 + 135*T1^15*T2^8 + 
      3*T1^16*T2^8 + 36*T1*T2^9 + 458*T1^2*T2^9 - 3056*T1^3*T2^9 - 
      2726*T1^4*T2^9 + 21696*T1^5*T2^9 - 19056*T1^6*T2^9 - 12577*T1^7*T2^9 + 
      17972*T1^8*T2^9 - 7018*T1^9*T2^9 - 7540*T1^10*T2^9 + 23544*T1^11*T2^9 - 
      14049*T1^12*T2^9 - 434*T1^13*T2^9 + 2425*T1^14*T2^9 - 280*T1^15*T2^9 - 
      27*T1^16*T2^9 - 87*T1^2*T2^10 - 132*T1^3*T2^10 + 4017*T1^4*T2^10 - 
      6793*T1^5*T2^10 - 7527*T1^6*T2^10 + 24714*T1^7*T2^10 - 
      13024*T1^8*T2^10 - 7540*T1^9*T2^10 + 17396*T1^10*T2^10 - 
      21396*T1^11*T2^10 + 4919*T1^12*T2^10 + 6779*T1^13*T2^10 - 
      4039*T1^14*T2^10 + 138*T1^15*T2^10 + 87*T1^16*T2^10 + 102*T1^3*T2^11 - 
      389*T1^4*T2^11 - 1792*T1^5*T2^11 + 8711*T1^6*T2^11 - 8010*T1^7*T2^11 - 
      9327*T1^8*T2^11 + 23544*T1^9*T2^11 - 21396*T1^10*T2^11 + 
      13929*T1^11*T2^11 + 3579*T1^12*T2^11 - 9691*T1^13*T2^11 + 
      3671*T1^14*T2^11 + 313*T1^15*T2^11 - 153*T1^16*T2^11 - 59*T1^4*T2^12 + 
      529*T1^5*T2^12 - 881*T1^6*T2^12 - 3626*T1^7*T2^12 + 12531*T1^8*T2^12 - 
      14049*T1^9*T2^12 + 4919*T1^10*T2^12 + 3579*T1^11*T2^12 - 
      12337*T1^12*T2^12 + 10042*T1^13*T2^12 - 2299*T1^14*T2^12 - 
      677*T1^15*T2^12 + 177*T1^16*T2^12 - 258*T1^6*T2^13 + 1816*T1^7*T2^13 - 
      3004*T1^8*T2^13 - 434*T1^9*T2^13 + 6779*T1^10*T2^13 - 
      9691*T1^11*T2^13 + 10042*T1^12*T2^13 - 4966*T1^13*T2^13 - 
      11*T1^14*T2^13 + 858*T1^15*T2^13 - 153*T1^16*T2^13 + 29*T1^6*T2^14 - 
      100*T1^7*T2^14 - 523*T1^8*T2^14 + 2425*T1^9*T2^14 - 4039*T1^10*T2^14 + 
      3671*T1^11*T2^14 - 2299*T1^12*T2^14 - 11*T1^13*T2^14 + 
      1101*T1^14*T2^14 - 622*T1^15*T2^14 + 87*T1^16*T2^14 - 18*T1^7*T2^15 + 
      135*T1^8*T2^15 - 280*T1^9*T2^15 + 138*T1^10*T2^15 + 313*T1^11*T2^15 - 
      677*T1^12*T2^15 + 858*T1^13*T2^15 - 622*T1^14*T2^15 + 225*T1^15*T2^15 - 
      27*T1^16*T2^15 + 3*T1^8*T2^16 - 27*T1^9*T2^16 + 87*T1^10*T2^16 - 
      153*T1^11*T2^16 + 177*T1^12*T2^16 - 153*T1^13*T2^16 + 87*T1^14*T2^16 - 
      27*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1196] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-33 + 214*T1 - 591*T1^2 + 1000*T1^3 - 1197*T1^4 + 1000*T1^5 - 591*T1^6 + 
     214*T1^7 - 33*T1^8 + 214*T2 - 1226*T1*T2 + 2784*T1^2*T2 - 3590*T1^3*T2 + 
     2864*T1^4*T2 - 620*T1^5*T2 - 1068*T1^6*T2 + 1510*T1^7*T2 - 836*T1^8*T2 + 
     162*T1^9*T2 - 591*T2^2 + 2784*T1*T2^2 - 4089*T1^2*T2^2 + 
     1106*T1^3*T2^2 + 4895*T1^4*T2^2 - 10947*T1^5*T2^2 + 10223*T1^6*T2^2 - 
     5806*T1^7*T2^2 + 807*T1^8*T2^2 + 912*T1^9*T2^2 - 303*T1^10*T2^2 + 
     1000*T2^3 - 3590*T1*T2^3 + 1106*T1^2*T2^3 + 9018*T1^3*T2^3 - 
     17961*T1^4*T2^3 + 20156*T1^5*T2^3 - 7054*T1^6*T2^3 - 4041*T1^7*T2^3 + 
     9144*T1^8*T2^3 - 5050*T1^9*T2^3 + 232*T1^10*T2^3 + 268*T1^11*T2^3 - 
     1197*T2^4 + 2864*T1*T2^4 + 4895*T1^2*T2^4 - 17961*T1^3*T2^4 + 
     19513*T1^4*T2^4 - 9614*T1^5*T2^4 - 15643*T1^6*T2^4 + 21036*T1^7*T2^4 - 
     15151*T1^8*T2^4 + 339*T1^9*T2^4 + 5301*T1^10*T2^4 - 1556*T1^11*T2^4 - 
     29*T1^12*T2^4 + 1000*T2^5 - 620*T1*T2^5 - 10947*T1^2*T2^5 + 
     20156*T1^3*T2^5 - 9614*T1^4*T2^5 - 7711*T1^5*T2^5 + 31093*T1^6*T2^5 - 
     16902*T1^7*T2^5 - 1111*T1^8*T2^5 + 17613*T1^9*T2^5 - 12186*T1^10*T2^5 - 
     288*T1^11*T2^5 + 1616*T1^12*T2^5 - 220*T1^13*T2^5 - 591*T2^6 - 
     1068*T1*T2^6 + 10223*T1^2*T2^6 - 7054*T1^3*T2^6 - 15643*T1^4*T2^6 + 
     31093*T1^5*T2^6 - 38008*T1^6*T2^6 + 1302*T1^7*T2^6 + 18896*T1^8*T2^6 - 
     22335*T1^9*T2^6 + 1105*T1^10*T2^6 + 12458*T1^11*T2^6 - 4949*T1^12*T2^6 - 
     340*T1^13*T2^6 + 273*T1^14*T2^6 + 214*T2^7 + 1510*T1*T2^7 - 
     5806*T1^2*T2^7 - 4041*T1^3*T2^7 + 21036*T1^4*T2^7 - 16902*T1^5*T2^7 + 
     1302*T1^6*T2^7 + 36899*T1^7*T2^7 - 32697*T1^8*T2^7 + 7543*T1^9*T2^7 + 
     20227*T1^10*T2^7 - 19883*T1^11*T2^7 - 441*T1^12*T2^7 + 4886*T1^13*T2^7 - 
     804*T1^14*T2^7 - 150*T1^15*T2^7 - 33*T2^8 - 836*T1*T2^8 + 
     807*T1^2*T2^8 + 9144*T1^3*T2^8 - 15151*T1^4*T2^8 - 1111*T1^5*T2^8 + 
     18896*T1^6*T2^8 - 32697*T1^7*T2^8 + 3420*T1^8*T2^8 + 27885*T1^9*T2^8 - 
     30958*T1^10*T2^8 + 7763*T1^11*T2^8 + 15209*T1^12*T2^8 - 
     8812*T1^13*T2^8 - 855*T1^14*T2^8 + 776*T1^15*T2^8 + 31*T1^16*T2^8 + 
     162*T1*T2^9 + 912*T1^2*T2^9 - 5050*T1^3*T2^9 + 339*T1^4*T2^9 + 
     17613*T1^5*T2^9 - 22335*T1^6*T2^9 + 7543*T1^7*T2^9 + 27885*T1^8*T2^9 - 
     41711*T1^9*T2^9 + 13784*T1^10*T2^9 + 14794*T1^11*T2^9 - 
     23306*T1^12*T2^9 + 3939*T1^13*T2^9 + 5642*T1^14*T2^9 - 1402*T1^15*T2^9 - 
     202*T1^16*T2^9 - 303*T1^2*T2^10 + 232*T1^3*T2^10 + 5301*T1^4*T2^10 - 
     12186*T1^5*T2^10 + 1105*T1^6*T2^10 + 20227*T1^7*T2^10 - 
     30958*T1^8*T2^10 + 13784*T1^9*T2^10 + 25946*T1^10*T2^10 - 
     33201*T1^11*T2^10 + 17853*T1^12*T2^10 + 7326*T1^13*T2^10 - 
     9871*T1^14*T2^10 + 960*T1^15*T2^10 + 561*T1^16*T2^10 + 268*T1^3*T2^11 - 
     1556*T1^4*T2^11 - 288*T1^5*T2^11 + 12458*T1^6*T2^11 - 19883*T1^7*T2^11 + 
     7763*T1^8*T2^11 + 14794*T1^9*T2^11 - 33201*T1^10*T2^11 + 
     14363*T1^11*T2^11 + 7344*T1^12*T2^11 - 19884*T1^13*T2^11 + 
     10371*T1^14*T2^11 + 680*T1^15*T2^11 - 952*T1^16*T2^11 - 29*T1^4*T2^12 + 
     1616*T1^5*T2^12 - 4949*T1^6*T2^12 - 441*T1^7*T2^12 + 15209*T1^8*T2^12 - 
     23306*T1^9*T2^12 + 17853*T1^10*T2^12 + 7344*T1^11*T2^12 - 
     19455*T1^12*T2^12 + 17859*T1^13*T2^12 - 4543*T1^14*T2^12 - 
     2804*T1^15*T2^12 + 1139*T1^16*T2^12 - 220*T1^5*T2^13 - 340*T1^6*T2^13 + 
     4886*T1^7*T2^13 - 8812*T1^8*T2^13 + 3939*T1^9*T2^13 + 7326*T1^10*T2^13 - 
     19884*T1^11*T2^13 + 17859*T1^12*T2^13 - 8686*T1^13*T2^13 - 
     1270*T1^14*T2^13 + 3482*T1^15*T2^13 - 952*T1^16*T2^13 + 273*T1^6*T2^14 - 
     804*T1^7*T2^14 - 855*T1^8*T2^14 + 5642*T1^9*T2^14 - 9871*T1^10*T2^14 + 
     10371*T1^11*T2^14 - 4543*T1^12*T2^14 - 1270*T1^13*T2^14 + 
     4041*T1^14*T2^14 - 2676*T1^15*T2^14 + 561*T1^16*T2^14 - 150*T1^7*T2^15 + 
     776*T1^8*T2^15 - 1402*T1^9*T2^15 + 960*T1^10*T2^15 + 680*T1^11*T2^15 - 
     2804*T1^12*T2^15 + 3482*T1^13*T2^15 - 2676*T1^14*T2^15 + 
     1166*T1^15*T2^15 - 202*T1^16*T2^15 + 31*T1^8*T2^16 - 202*T1^9*T2^16 + 
     561*T1^10*T2^16 - 952*T1^11*T2^16 + 1139*T1^12*T2^16 - 952*T1^13*T2^16 + 
     561*T1^14*T2^16 - 202*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1197] -> 
  {((1 - T + T^2)*(2 - 9*T + 18*T^2 - 21*T^3 + 18*T^4 - 9*T^5 + 2*T^6))/T^4, 
   (-33 + 180*T1 - 473*T1^2 + 782*T1^3 - 929*T1^4 + 782*T1^5 - 473*T1^6 + 
     180*T1^7 - 33*T1^8 + 180*T2 - 846*T1*T2 + 1840*T1^2*T2 - 2323*T1^3*T2 + 
     1857*T1^4*T2 - 453*T1^5*T2 - 629*T1^6*T2 + 960*T1^7*T2 - 560*T1^8*T2 + 
     136*T1^9*T2 - 473*T2^2 + 1840*T1*T2^2 - 2988*T1^2*T2^2 + 
     1943*T1^3*T2^2 + 706*T1^4*T2^2 - 3844*T1^5*T2^2 + 3954*T1^6*T2^2 - 
     2349*T1^7*T2^2 + 144*T1^8*T2^2 + 564*T1^9*T2^2 - 241*T1^10*T2^2 + 
     782*T2^3 - 2323*T1*T2^3 + 1943*T1^2*T2^3 + 2265*T1^3*T2^3 - 
     6202*T1^4*T2^3 + 8104*T1^5*T2^3 - 3215*T1^6*T2^3 - 1223*T1^7*T2^3 + 
     3905*T1^8*T2^3 - 2262*T1^9*T2^3 + 207*T1^10*T2^3 + 206*T1^11*T2^3 - 
     929*T2^4 + 1857*T1*T2^4 + 706*T1^2*T2^4 - 6202*T1^3*T2^4 + 
     6796*T1^4*T2^4 - 3817*T1^5*T2^4 - 6376*T1^6*T2^4 + 8879*T1^7*T2^4 - 
     7196*T1^8*T2^4 + 422*T1^9*T2^4 + 2314*T1^10*T2^4 - 1047*T1^11*T2^4 - 
     17*T1^12*T2^4 + 782*T2^5 - 453*T1*T2^5 - 3844*T1^2*T2^5 + 
     8104*T1^3*T2^5 - 3817*T1^4*T2^5 - 2105*T1^5*T2^5 + 12542*T1^6*T2^5 - 
     7981*T1^7*T2^5 + 1171*T1^8*T2^5 + 7193*T1^9*T2^5 - 5309*T1^10*T2^5 + 
     143*T1^11*T2^5 + 1065*T1^12*T2^5 - 178*T1^13*T2^5 - 473*T2^6 - 
     629*T1*T2^6 + 3954*T1^2*T2^6 - 3215*T1^3*T2^6 - 6376*T1^4*T2^6 + 
     12542*T1^5*T2^6 - 17755*T1^6*T2^6 + 3725*T1^7*T2^6 + 6065*T1^8*T2^6 - 
     10324*T1^9*T2^6 + 1346*T1^10*T2^6 + 4963*T1^11*T2^6 - 2574*T1^12*T2^6 - 
     233*T1^13*T2^6 + 223*T1^14*T2^6 + 180*T2^7 + 960*T1*T2^7 - 
     2349*T1^2*T2^7 - 1223*T1^3*T2^7 + 8879*T1^4*T2^7 - 7981*T1^5*T2^7 + 
     3725*T1^6*T2^7 + 13019*T1^7*T2^7 - 14507*T1^8*T2^7 + 5713*T1^9*T2^7 + 
     7856*T1^10*T2^7 - 8875*T1^11*T2^7 + 378*T1^12*T2^7 + 2378*T1^13*T2^7 - 
     536*T1^14*T2^7 - 128*T1^15*T2^7 - 33*T2^8 - 560*T1*T2^8 + 
     144*T1^2*T2^8 + 3905*T1^3*T2^8 - 7196*T1^4*T2^8 + 1171*T1^5*T2^8 + 
     6065*T1^6*T2^8 - 14507*T1^7*T2^8 + 4944*T1^8*T2^8 + 9299*T1^9*T2^8 - 
     13331*T1^10*T2^8 + 3961*T1^11*T2^8 + 6648*T1^12*T2^8 - 4365*T1^13*T2^8 - 
     186*T1^14*T2^8 + 540*T1^15*T2^8 + 31*T1^16*T2^8 + 136*T1*T2^9 + 
     564*T1^2*T2^9 - 2262*T1^3*T2^9 + 422*T1^4*T2^9 + 7193*T1^5*T2^9 - 
     10324*T1^6*T2^9 + 5713*T1^7*T2^9 + 9299*T1^8*T2^9 - 18227*T1^9*T2^9 + 
     7701*T1^10*T2^9 + 5513*T1^11*T2^9 - 10561*T1^12*T2^9 + 2023*T1^13*T2^9 + 
     2465*T1^14*T2^9 - 932*T1^15*T2^9 - 172*T1^16*T2^9 - 241*T1^2*T2^10 + 
     207*T1^3*T2^10 + 2314*T1^4*T2^10 - 5309*T1^5*T2^10 + 1346*T1^6*T2^10 + 
     7856*T1^7*T2^10 - 13331*T1^8*T2^10 + 7701*T1^9*T2^10 + 
     10489*T1^10*T2^10 - 15010*T1^11*T2^10 + 9068*T1^12*T2^10 + 
     2869*T1^13*T2^10 - 4214*T1^14*T2^10 + 603*T1^15*T2^10 + 
     455*T1^16*T2^10 + 206*T1^3*T2^11 - 1047*T1^4*T2^11 + 143*T1^5*T2^11 + 
     4963*T1^6*T2^11 - 8875*T1^7*T2^11 + 3961*T1^8*T2^11 + 5513*T1^9*T2^11 - 
     15010*T1^10*T2^11 + 7237*T1^11*T2^11 + 2135*T1^12*T2^11 - 
     8450*T1^13*T2^11 + 4130*T1^14*T2^11 + 471*T1^15*T2^11 - 
     754*T1^16*T2^11 - 17*T1^4*T2^12 + 1065*T1^5*T2^12 - 2574*T1^6*T2^12 + 
     378*T1^7*T2^12 + 6648*T1^8*T2^12 - 10561*T1^9*T2^12 + 9068*T1^10*T2^12 + 
     2135*T1^11*T2^12 - 7344*T1^12*T2^12 + 7002*T1^13*T2^12 - 
     966*T1^14*T2^12 - 1839*T1^15*T2^12 + 895*T1^16*T2^12 - 178*T1^5*T2^13 - 
     233*T1^6*T2^13 + 2378*T1^7*T2^13 - 4365*T1^8*T2^13 + 2023*T1^9*T2^13 + 
     2869*T1^10*T2^13 - 8450*T1^11*T2^13 + 7002*T1^12*T2^13 - 
     2725*T1^13*T2^13 - 1827*T1^14*T2^13 + 2297*T1^15*T2^13 - 
     754*T1^16*T2^13 + 223*T1^6*T2^14 - 536*T1^7*T2^14 - 186*T1^8*T2^14 + 
     2465*T1^9*T2^14 - 4214*T1^10*T2^14 + 4130*T1^11*T2^14 - 
     966*T1^12*T2^14 - 1827*T1^13*T2^14 + 2946*T1^14*T2^14 - 
     1812*T1^15*T2^14 + 455*T1^16*T2^14 - 128*T1^7*T2^15 + 540*T1^8*T2^15 - 
     932*T1^9*T2^15 + 603*T1^10*T2^15 + 471*T1^11*T2^15 - 1839*T1^12*T2^15 + 
     2297*T1^13*T2^15 - 1812*T1^14*T2^15 + 826*T1^15*T2^15 - 
     172*T1^16*T2^15 + 31*T1^8*T2^16 - 172*T1^9*T2^16 + 455*T1^10*T2^16 - 
     754*T1^11*T2^16 + 895*T1^12*T2^16 - 754*T1^13*T2^16 + 455*T1^14*T2^16 - 
     172*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1198] -> 
  {(4 - 22*T + 52*T^2 - 67*T^3 + 52*T^4 - 22*T^5 + 4*T^6)/T^3, 
   (-256 + 1396*T1 - 3280*T1^2 + 4216*T1^3 - 3280*T1^4 + 1396*T1^5 - 
     256*T1^6 + 1396*T2 - 6570*T1*T2 + 12212*T1^2*T2 - 9684*T1^3*T2 + 
     788*T1^4*T2 + 5700*T1^5*T2 - 4282*T1^6*T2 + 1044*T1^7*T2 - 3280*T2^2 + 
     12212*T1*T2^2 - 12715*T1^2*T2^2 - 9829*T1^3*T2^2 + 30905*T1^4*T2^2 - 
     28549*T1^5*T2^2 + 7253*T1^6*T2^2 + 3060*T1^7*T2^2 - 1616*T1^8*T2^2 + 
     4216*T2^3 - 9684*T1*T2^3 - 9829*T1^2*T2^3 + 54602*T1^3*T2^3 - 
     59578*T1^4*T2^3 + 17062*T1^5*T2^3 + 27030*T1^6*T2^3 - 21893*T1^7*T2^3 + 
     3428*T1^8*T2^3 + 1000*T1^9*T2^3 - 3280*T2^4 + 788*T1*T2^4 + 
     30905*T1^2*T2^4 - 59578*T1^3*T2^4 + 8370*T1^4*T2^4 + 67214*T1^5*T2^4 - 
     84354*T1^6*T2^4 + 26182*T1^7*T2^4 + 9313*T1^8*T2^4 - 5724*T1^9*T2^4 + 
     48*T1^10*T2^4 + 1396*T2^5 + 5700*T1*T2^5 - 28549*T1^2*T2^5 + 
     17062*T1^3*T2^5 + 67214*T1^4*T2^5 - 112354*T1^5*T2^5 + 59714*T1^6*T2^5 + 
     30190*T1^7*T2^5 - 41338*T1^8*T2^5 + 10139*T1^9*T2^5 + 1652*T1^10*T2^5 - 
     364*T1^11*T2^5 - 256*T2^6 - 4282*T1*T2^6 + 7253*T1^2*T2^6 + 
     27030*T1^3*T2^6 - 84354*T1^4*T2^6 + 59714*T1^5*T2^6 + 35748*T1^6*T2^6 - 
     92830*T1^7*T2^6 + 50510*T1^8*T2^6 + 2294*T1^9*T2^6 - 8715*T1^10*T2^6 + 
     1350*T1^11*T2^6 + 128*T1^12*T2^6 + 1044*T1*T2^7 + 3060*T1^2*T2^7 - 
     21893*T1^3*T2^7 + 26182*T1^4*T2^7 + 30190*T1^5*T2^7 - 92830*T1^6*T2^7 + 
     79238*T1^7*T2^7 - 6834*T1^8*T2^7 - 32218*T1^9*T2^7 + 16795*T1^10*T2^7 - 
     988*T1^11*T2^7 - 716*T1^12*T2^7 - 1616*T1^2*T2^8 + 3428*T1^3*T2^8 + 
     9313*T1^4*T2^8 - 41338*T1^5*T2^8 + 50510*T1^6*T2^8 - 6834*T1^7*T2^8 - 
     42214*T1^8*T2^8 + 44422*T1^9*T2^8 - 12279*T1^10*T2^8 - 3084*T1^11*T2^8 + 
     1712*T1^12*T2^8 + 1000*T1^3*T2^9 - 5724*T1^4*T2^9 + 10139*T1^5*T2^9 + 
     2294*T1^6*T2^9 - 32218*T1^7*T2^9 + 44422*T1^8*T2^9 - 25278*T1^9*T2^9 - 
     1925*T1^10*T2^9 + 7388*T1^11*T2^9 - 2216*T1^12*T2^9 + 48*T1^4*T2^10 + 
     1652*T1^5*T2^10 - 8715*T1^6*T2^10 + 16795*T1^7*T2^10 - 
     12279*T1^8*T2^10 - 1925*T1^9*T2^10 + 11253*T1^10*T2^10 - 
     7500*T1^11*T2^10 + 1712*T1^12*T2^10 - 364*T1^5*T2^11 + 1350*T1^6*T2^11 - 
     988*T1^7*T2^11 - 3084*T1^8*T2^11 + 7388*T1^9*T2^11 - 7500*T1^10*T2^11 + 
     3638*T1^11*T2^11 - 716*T1^12*T2^11 + 128*T1^6*T2^12 - 716*T1^7*T2^12 + 
     1712*T1^8*T2^12 - 2216*T1^9*T2^12 + 1712*T1^10*T2^12 - 716*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1199] -> 
  {-((1 - 5*T + 13*T^2 - 23*T^3 + 32*T^4 - 37*T^5 + 32*T^6 - 23*T^7 + 
      13*T^8 - 5*T^9 + T^10)/T^5), 
   -((-5 + 25*T1 - 65*T1^2 + 115*T1^3 - 160*T1^4 + 185*T1^5 - 160*T1^6 + 
      115*T1^7 - 65*T1^8 + 25*T1^9 - 5*T1^10 + 25*T2 - 105*T1*T2 + 
      225*T1^2*T2 - 315*T1^3*T2 + 340*T1^4*T2 - 285*T1^5*T2 + 60*T1^6*T2 + 
      65*T1^7*T2 - 135*T1^8*T2 + 135*T1^9*T2 - 75*T1^10*T2 + 20*T1^11*T2 - 
      65*T2^2 + 225*T1*T2^2 - 385*T1^2*T2^2 + 393*T1^3*T2^2 - 293*T1^4*T2^2 + 
      111*T1^5*T2^2 + 363*T1^6*T2^2 - 253*T1^7*T2^2 + 201*T1^8*T2^2 - 
      75*T1^9*T2^2 - 73*T1^10*T2^2 + 95*T1^11*T2^2 - 39*T1^12*T2^2 + 
      115*T2^3 - 315*T1*T2^3 + 393*T1^2*T2^3 - 198*T1^3*T2^3 + 10*T1^4*T2^3 + 
      173*T1^5*T2^3 - 760*T1^6*T2^3 - 70*T1^7*T2^3 + 48*T1^8*T2^3 - 
      203*T1^9*T2^3 + 288*T1^10*T2^3 - 114*T1^11*T2^3 - 35*T1^12*T2^3 + 
      46*T1^13*T2^3 - 160*T2^4 + 340*T1*T2^4 - 293*T1^2*T2^4 + 10*T1^3*T2^4 - 
      32*T1^4*T2^4 + 73*T1^5*T2^4 + 495*T1^6*T2^4 + 1178*T1^7*T2^4 - 
      293*T1^8*T2^4 + 347*T1^9*T2^4 - 204*T1^10*T2^4 - 174*T1^11*T2^4 + 
      221*T1^12*T2^4 - 70*T1^13*T2^4 - 32*T1^14*T2^4 + 185*T2^5 - 
      285*T1*T2^5 + 111*T1^2*T2^5 + 173*T1^3*T2^5 + 73*T1^4*T2^5 - 
      92*T1^5*T2^5 - 672*T1^6*T2^5 - 1557*T1^7*T2^5 - 666*T1^8*T2^5 + 
      38*T1^9*T2^5 - 58*T1^10*T2^5 + 291*T1^11*T2^5 - 18*T1^12*T2^5 - 
      193*T1^13*T2^5 + 160*T1^14*T2^5 - 160*T2^6 + 60*T1*T2^6 + 
      363*T1^2*T2^6 - 760*T1^3*T2^6 + 495*T1^4*T2^6 - 672*T1^5*T2^6 + 
      1260*T1^6*T2^6 + 1739*T1^7*T2^6 + 1326*T1^8*T2^6 + 695*T1^9*T2^6 - 
      660*T1^10*T2^6 + 188*T1^11*T2^6 - 397*T1^12*T2^6 + 284*T1^13*T2^6 - 
      9*T1^14*T2^6 - 160*T1^15*T2^6 + 32*T1^16*T2^6 + 115*T2^7 + 65*T1*T2^7 - 
      253*T1^2*T2^7 - 70*T1^3*T2^7 + 1178*T1^4*T2^7 - 1557*T1^5*T2^7 + 
      1739*T1^6*T2^7 - 4634*T1^7*T2^7 + 136*T1^8*T2^7 - 2543*T1^9*T2^7 + 
      1300*T1^10*T2^7 + 92*T1^11*T2^7 + 184*T1^12*T2^7 + 83*T1^13*T2^7 - 
      288*T1^14*T2^7 + 211*T1^15*T2^7 + 70*T1^16*T2^7 - 46*T1^17*T2^7 - 
      65*T2^8 - 135*T1*T2^8 + 201*T1^2*T2^8 + 48*T1^3*T2^8 - 293*T1^4*T2^8 - 
      666*T1^5*T2^8 + 1326*T1^6*T2^8 + 136*T1^7*T2^8 + 4375*T1^8*T2^8 - 
      271*T1^9*T2^8 + 991*T1^10*T2^8 - 1776*T1^11*T2^8 + 72*T1^12*T2^8 - 
      282*T1^13*T2^8 + 287*T1^14*T2^8 + 8*T1^15*T2^8 - 233*T1^16*T2^8 + 
      35*T1^17*T2^8 + 39*T1^18*T2^8 + 25*T2^9 + 135*T1*T2^9 - 75*T1^2*T2^9 - 
      203*T1^3*T2^9 + 347*T1^4*T2^9 + 38*T1^5*T2^9 + 695*T1^6*T2^9 - 
      2543*T1^7*T2^9 - 271*T1^8*T2^9 - 4039*T1^9*T2^9 + 2117*T1^10*T2^9 + 
      29*T1^11*T2^9 + 1670*T1^12*T2^9 - 70*T1^13*T2^9 - 72*T1^14*T2^9 - 
      207*T1^15*T2^9 + 184*T1^16*T2^9 + 120*T1^17*T2^9 - 95*T1^18*T2^9 - 
      20*T1^19*T2^9 - 5*T2^10 - 75*T1*T2^10 - 73*T1^2*T2^10 + 
      288*T1^3*T2^10 - 204*T1^4*T2^10 - 58*T1^5*T2^10 - 660*T1^6*T2^10 + 
      1300*T1^7*T2^10 + 991*T1^8*T2^10 + 2117*T1^9*T2^10 + 168*T1^10*T2^10 - 
      2253*T1^11*T2^10 - 845*T1^12*T2^10 - 1316*T1^13*T2^10 + 
      616*T1^14*T2^10 - 82*T1^15*T2^10 + 166*T1^16*T2^10 - 296*T1^17*T2^10 + 
      71*T1^18*T2^10 + 75*T1^19*T2^10 + 5*T1^20*T2^10 + 20*T1*T2^11 + 
      95*T1^2*T2^11 - 114*T1^3*T2^11 - 174*T1^4*T2^11 + 291*T1^5*T2^11 + 
      188*T1^6*T2^11 + 92*T1^7*T2^11 - 1776*T1^8*T2^11 + 29*T1^9*T2^11 - 
      2253*T1^10*T2^11 + 3903*T1^11*T2^11 + 329*T1^12*T2^11 + 
      2437*T1^13*T2^11 - 673*T1^14*T2^11 + 78*T1^15*T2^11 - 263*T1^16*T2^11 + 
      213*T1^17*T2^11 + 81*T1^18*T2^11 - 135*T1^19*T2^11 - 25*T1^20*T2^11 - 
      39*T1^2*T2^12 - 35*T1^3*T2^12 + 221*T1^4*T2^12 - 18*T1^5*T2^12 - 
      397*T1^6*T2^12 + 184*T1^7*T2^12 + 72*T1^8*T2^12 + 1670*T1^9*T2^12 - 
      845*T1^10*T2^12 + 329*T1^11*T2^12 - 4229*T1^12*T2^12 - 
      242*T1^13*T2^12 - 1182*T1^14*T2^12 + 568*T1^15*T2^12 + 
      183*T1^16*T2^12 - 58*T1^17*T2^12 - 213*T1^18*T2^12 + 135*T1^19*T2^12 + 
      65*T1^20*T2^12 + 46*T1^3*T2^13 - 70*T1^4*T2^13 - 193*T1^5*T2^13 + 
      284*T1^6*T2^13 + 83*T1^7*T2^13 - 282*T1^8*T2^13 - 70*T1^9*T2^13 - 
      1316*T1^10*T2^13 + 2437*T1^11*T2^13 - 242*T1^12*T2^13 + 
      4618*T1^13*T2^13 - 1717*T1^14*T2^13 + 1459*T1^15*T2^13 - 
      1012*T1^16*T2^13 + 66*T1^17*T2^13 + 271*T1^18*T2^13 - 65*T1^19*T2^13 - 
      115*T1^20*T2^13 - 32*T1^4*T2^14 + 160*T1^5*T2^14 - 9*T1^6*T2^14 - 
      288*T1^7*T2^14 + 287*T1^8*T2^14 - 72*T1^9*T2^14 + 616*T1^10*T2^14 - 
      673*T1^11*T2^14 - 1182*T1^12*T2^14 - 1717*T1^13*T2^14 - 
      1304*T1^14*T2^14 + 788*T1^15*T2^14 - 605*T1^16*T2^14 + 
      756*T1^17*T2^14 - 381*T1^18*T2^14 - 60*T1^19*T2^14 + 160*T1^20*T2^14 - 
      160*T1^6*T2^15 + 211*T1^7*T2^15 + 8*T1^8*T2^15 - 207*T1^9*T2^15 - 
      82*T1^10*T2^15 + 78*T1^11*T2^15 + 568*T1^12*T2^15 + 1459*T1^13*T2^15 + 
      788*T1^14*T2^15 - 48*T1^15*T2^15 + 11*T1^16*T2^15 - 183*T1^17*T2^15 - 
      93*T1^18*T2^15 + 285*T1^19*T2^15 - 185*T1^20*T2^15 + 32*T1^6*T2^16 + 
      70*T1^7*T2^16 - 233*T1^8*T2^16 + 184*T1^9*T2^16 + 166*T1^10*T2^16 - 
      263*T1^11*T2^16 + 183*T1^12*T2^16 - 1012*T1^13*T2^16 - 
      605*T1^14*T2^16 + 11*T1^15*T2^16 - 6*T1^16*T2^16 + 281*T1^18*T2^16 - 
      340*T1^19*T2^16 + 160*T1^20*T2^16 - 46*T1^7*T2^17 + 35*T1^8*T2^17 + 
      120*T1^9*T2^17 - 296*T1^10*T2^17 + 213*T1^11*T2^17 - 58*T1^12*T2^17 + 
      66*T1^13*T2^17 + 756*T1^14*T2^17 - 183*T1^15*T2^17 + 190*T1^17*T2^17 - 
      387*T1^18*T2^17 + 315*T1^19*T2^17 - 115*T1^20*T2^17 + 39*T1^8*T2^18 - 
      95*T1^9*T2^18 + 71*T1^10*T2^18 + 81*T1^11*T2^18 - 213*T1^12*T2^18 + 
      271*T1^13*T2^18 - 381*T1^14*T2^18 - 93*T1^15*T2^18 + 281*T1^16*T2^18 - 
      387*T1^17*T2^18 + 383*T1^18*T2^18 - 225*T1^19*T2^18 + 65*T1^20*T2^18 - 
      20*T1^9*T2^19 + 75*T1^10*T2^19 - 135*T1^11*T2^19 + 135*T1^12*T2^19 - 
      65*T1^13*T2^19 - 60*T1^14*T2^19 + 285*T1^15*T2^19 - 340*T1^16*T2^19 + 
      315*T1^17*T2^19 - 225*T1^18*T2^19 + 105*T1^19*T2^19 - 25*T1^20*T2^19 + 
      5*T1^10*T2^20 - 25*T1^11*T2^20 + 65*T1^12*T2^20 - 115*T1^13*T2^20 + 
      160*T1^14*T2^20 - 185*T1^15*T2^20 + 160*T1^16*T2^20 - 115*T1^17*T2^20 + 
      65*T1^18*T2^20 - 25*T1^19*T2^20 + 5*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1200] -> 
  {-(((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/
     T^4), -((-25 + 125*T1 - 312*T1^2 + 487*T1^3 - 537*T1^4 + 487*T1^5 - 
      312*T1^6 + 125*T1^7 - 25*T1^8 + 125*T2 - 540*T1*T2 + 1135*T1^2*T2 - 
      1375*T1^3*T2 + 1030*T1^4*T2 - 610*T1^5*T2 - 95*T1^6*T2 + 435*T1^7*T2 - 
      300*T1^8*T2 + 85*T1^9*T2 - 312*T2^2 + 1135*T1*T2^2 - 1899*T1^2*T2^2 + 
      1412*T1^3*T2^2 + 19*T1^4*T2^2 - 651*T1^5*T2^2 + 1819*T1^6*T2^2 - 
      1488*T1^7*T2^2 + 401*T1^8*T2^2 + 135*T1^9*T2^2 - 112*T1^10*T2^2 + 
      487*T2^3 - 1375*T1*T2^3 + 1412*T1^2*T2^3 + 732*T1^3*T2^3 - 
      2976*T1^4*T2^3 + 2387*T1^5*T2^3 - 3137*T1^6*T2^3 + 622*T1^7*T2^3 + 
      1576*T1^8*T2^3 - 1438*T1^9*T2^3 + 465*T1^10*T2^3 + 19*T1^11*T2^3 - 
      537*T2^4 + 1030*T1*T2^4 + 19*T1^2*T2^4 - 2976*T1^3*T2^4 + 
      3667*T1^4*T2^4 + 72*T1^5*T2^4 + 75*T1^6*T2^4 + 4136*T1^7*T2^4 - 
      4849*T1^8*T2^4 + 1548*T1^9*T2^4 + 819*T1^10*T2^4 - 850*T1^11*T2^4 + 
      151*T1^12*T2^4 + 487*T2^5 - 610*T1*T2^5 - 651*T1^2*T2^5 + 
      2387*T1^3*T2^5 + 72*T1^4*T2^5 - 5867*T1^5*T2^5 + 3919*T1^6*T2^5 - 
      7121*T1^7*T2^5 + 4153*T1^8*T2^5 + 2067*T1^9*T2^5 - 2953*T1^10*T2^5 + 
      549*T1^11*T2^5 + 710*T1^12*T2^5 - 293*T1^13*T2^5 - 312*T2^6 - 
      95*T1*T2^6 + 1819*T1^2*T2^6 - 3137*T1^3*T2^6 + 75*T1^4*T2^6 + 
      3919*T1^5*T2^6 + 852*T1^6*T2^6 + 2238*T1^7*T2^6 + 1212*T1^8*T2^6 - 
      6171*T1^9*T2^6 + 1585*T1^10*T2^6 + 2663*T1^11*T2^6 - 1981*T1^12*T2^6 + 
      25*T1^13*T2^6 + 288*T1^14*T2^6 + 125*T2^7 + 435*T1*T2^7 - 
      1488*T1^2*T2^7 + 622*T1^3*T2^7 + 4136*T1^4*T2^7 - 7121*T1^5*T2^7 + 
      2238*T1^6*T2^7 - 5696*T1^7*T2^7 + 1920*T1^8*T2^7 + 2291*T1^9*T2^7 + 
      5819*T1^10*T2^7 - 6135*T1^11*T2^7 + 728*T1^12*T2^7 + 1662*T1^13*T2^7 - 
      665*T1^14*T2^7 - 155*T1^15*T2^7 - 25*T2^8 - 300*T1*T2^8 + 
      401*T1^2*T2^8 + 1576*T1^3*T2^8 - 4849*T1^4*T2^8 + 4153*T1^5*T2^8 + 
      1212*T1^6*T2^8 + 1920*T1^7*T2^8 + 120*T1^8*T2^8 - 2344*T1^9*T2^8 - 
      7106*T1^10*T2^8 + 1171*T1^11*T2^8 + 5207*T1^12*T2^8 - 3588*T1^13*T2^8 + 
      201*T1^14*T2^8 + 580*T1^15*T2^8 + 39*T1^16*T2^8 + 85*T1*T2^9 + 
      135*T1^2*T2^9 - 1438*T1^3*T2^9 + 1548*T1^4*T2^9 + 2067*T1^5*T2^9 - 
      6171*T1^6*T2^9 + 2291*T1^7*T2^9 - 2344*T1^8*T2^9 + 5272*T1^9*T2^9 + 
      2344*T1^10*T2^9 + 6769*T1^11*T2^9 - 8204*T1^12*T2^9 + 1654*T1^13*T2^9 + 
      1712*T1^14*T2^9 - 965*T1^15*T2^9 - 195*T1^16*T2^9 - 112*T1^2*T2^10 + 
      465*T1^3*T2^10 + 819*T1^4*T2^10 - 2953*T1^5*T2^10 + 1585*T1^6*T2^10 + 
      5819*T1^7*T2^10 - 7106*T1^8*T2^10 + 2344*T1^9*T2^10 - 
      6746*T1^10*T2^10 - 4271*T1^11*T2^10 + 3095*T1^12*T2^10 + 
      2847*T1^13*T2^10 - 2981*T1^14*T2^10 + 585*T1^15*T2^10 + 
      488*T1^16*T2^10 + 19*T1^3*T2^11 - 850*T1^4*T2^11 + 549*T1^5*T2^11 + 
      2663*T1^6*T2^11 - 6135*T1^7*T2^11 + 1171*T1^8*T2^11 + 6769*T1^9*T2^11 - 
      4271*T1^10*T2^11 + 11191*T1^11*T2^11 - 4140*T1^12*T2^11 - 
      2677*T1^13*T2^11 + 1749*T1^14*T2^11 + 470*T1^15*T2^11 - 
      761*T1^16*T2^11 + 151*T1^4*T2^12 + 710*T1^5*T2^12 - 1981*T1^6*T2^12 + 
      728*T1^7*T2^12 + 5207*T1^8*T2^12 - 8204*T1^9*T2^12 + 3095*T1^10*T2^12 - 
      4140*T1^11*T2^12 - 3309*T1^12*T2^12 + 5252*T1^13*T2^12 - 
      1181*T1^14*T2^12 - 1170*T1^15*T2^12 + 839*T1^16*T2^12 - 
      293*T1^5*T2^13 + 25*T1^6*T2^13 + 1662*T1^7*T2^13 - 3588*T1^8*T2^13 + 
      1654*T1^9*T2^13 + 2847*T1^10*T2^13 - 2677*T1^11*T2^13 + 
      5252*T1^12*T2^13 - 2744*T1^13*T2^13 - 1188*T1^14*T2^13 + 
      1865*T1^15*T2^13 - 761*T1^16*T2^13 + 288*T1^6*T2^14 - 665*T1^7*T2^14 + 
      201*T1^8*T2^14 + 1712*T1^9*T2^14 - 2981*T1^10*T2^14 + 
      1749*T1^11*T2^14 - 1181*T1^12*T2^14 - 1188*T1^13*T2^14 + 
      2501*T1^14*T2^14 - 1665*T1^15*T2^14 + 488*T1^16*T2^14 - 
      155*T1^7*T2^15 + 580*T1^8*T2^15 - 965*T1^9*T2^15 + 585*T1^10*T2^15 + 
      470*T1^11*T2^15 - 1170*T1^12*T2^15 + 1865*T1^13*T2^15 - 
      1665*T1^14*T2^15 + 820*T1^15*T2^15 - 195*T1^16*T2^15 + 39*T1^8*T2^16 - 
      195*T1^9*T2^16 + 488*T1^10*T2^16 - 761*T1^11*T2^16 + 839*T1^12*T2^16 - 
      761*T1^13*T2^16 + 488*T1^14*T2^16 - 195*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1201] -> 
  {((1 - T + T^2)*(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6))/T^4, 
   (-33 + 164*T1 - 425*T1^2 + 702*T1^3 - 833*T1^4 + 702*T1^5 - 425*T1^6 + 
     164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1499*T1^2*T2 - 1898*T1^3*T2 + 
     1511*T1^4*T2 - 369*T1^5*T2 - 518*T1^6*T2 + 779*T1^7*T2 - 452*T1^8*T2 + 
     124*T1^9*T2 - 425*T2^2 + 1499*T1*T2^2 - 2635*T1^2*T2^2 + 
     2206*T1^3*T2^2 - 470*T1^4*T2^2 - 1829*T1^5*T2^2 + 2130*T1^6*T2^2 - 
     1226*T1^7*T2^2 - 139*T1^8*T2^2 + 459*T1^9*T2^2 - 217*T1^10*T2^2 + 
     702*T2^3 - 1898*T1*T2^3 + 2206*T1^2*T2^3 + 362*T1^3*T2^3 - 
     3106*T1^4*T2^3 + 4775*T1^5*T2^3 - 1863*T1^6*T2^3 - 904*T1^7*T2^3 + 
     2612*T1^8*T2^3 - 1382*T1^9*T2^3 + 162*T1^10*T2^3 + 186*T1^11*T2^3 - 
     833*T2^4 + 1511*T1*T2^4 - 470*T1^2*T2^4 - 3106*T1^3*T2^4 + 
     3537*T1^4*T2^4 - 1682*T1^5*T2^4 - 4973*T1^6*T2^4 + 6354*T1^7*T2^4 - 
     4851*T1^8*T2^4 - 10*T1^9*T2^4 + 1538*T1^10*T2^4 - 849*T1^11*T2^4 - 
     17*T1^12*T2^4 + 702*T2^5 - 369*T1*T2^5 - 1829*T1^2*T2^5 + 
     4775*T1^3*T2^5 - 1682*T1^4*T2^5 - 2482*T1^5*T2^5 + 9306*T1^6*T2^5 - 
     5696*T1^7*T2^5 + 680*T1^8*T2^5 + 4990*T1^9*T2^5 - 3099*T1^10*T2^5 + 
     55*T1^11*T2^5 + 871*T1^12*T2^5 - 158*T1^13*T2^5 - 425*T2^6 - 
     518*T1*T2^6 + 2130*T1^2*T2^6 - 1863*T1^3*T2^6 - 4973*T1^4*T2^6 + 
     9306*T1^5*T2^6 - 12292*T1^6*T2^6 + 2104*T1^7*T2^6 + 4736*T1^8*T2^6 - 
     7346*T1^9*T2^6 + 627*T1^10*T2^6 + 2921*T1^11*T2^6 - 1654*T1^12*T2^6 - 
     198*T1^13*T2^6 + 199*T1^14*T2^6 + 164*T2^7 + 779*T1*T2^7 - 
     1226*T1^2*T2^7 - 904*T1^3*T2^7 + 6354*T1^4*T2^7 - 5696*T1^5*T2^7 + 
     2104*T1^6*T2^7 + 9607*T1^7*T2^7 - 10229*T1^8*T2^7 + 3687*T1^9*T2^7 + 
     6006*T1^10*T2^7 - 5774*T1^11*T2^7 + 470*T1^12*T2^7 + 1426*T1^13*T2^7 - 
     421*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 - 
     139*T1^2*T2^8 + 2612*T1^3*T2^8 - 4851*T1^4*T2^8 + 680*T1^5*T2^8 + 
     4736*T1^6*T2^8 - 10229*T1^7*T2^8 + 2928*T1^8*T2^8 + 7069*T1^9*T2^8 - 
     9770*T1^10*T2^8 + 2384*T1^11*T2^8 + 4305*T1^12*T2^8 - 2808*T1^13*T2^8 + 
     101*T1^14*T2^8 + 428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 
     459*T1^2*T2^9 - 1382*T1^3*T2^9 - 10*T1^4*T2^9 + 4990*T1^5*T2^9 - 
     7346*T1^6*T2^9 + 3687*T1^7*T2^9 + 7069*T1^8*T2^9 - 12767*T1^9*T2^9 + 
     5270*T1^10*T2^9 + 4356*T1^11*T2^9 - 7138*T1^12*T2^9 + 1364*T1^13*T2^9 + 
     1270*T1^14*T2^9 - 741*T1^15*T2^9 - 156*T1^16*T2^9 - 217*T1^2*T2^10 + 
     162*T1^3*T2^10 + 1538*T1^4*T2^10 - 3099*T1^5*T2^10 + 627*T1^6*T2^10 + 
     6006*T1^7*T2^10 - 9770*T1^8*T2^10 + 5270*T1^9*T2^10 + 7258*T1^10*T2^10 - 
     10646*T1^11*T2^10 + 6227*T1^12*T2^10 + 1685*T1^13*T2^10 - 
     2246*T1^14*T2^10 + 482*T1^15*T2^10 + 407*T1^16*T2^10 + 186*T1^3*T2^11 - 
     849*T1^4*T2^11 + 55*T1^5*T2^11 + 2921*T1^6*T2^11 - 5774*T1^7*T2^11 + 
     2384*T1^8*T2^11 + 4356*T1^9*T2^11 - 10646*T1^10*T2^11 + 
     5546*T1^11*T2^11 + 898*T1^12*T2^11 - 4953*T1^13*T2^11 + 
     1939*T1^14*T2^11 + 391*T1^15*T2^11 - 674*T1^16*T2^11 - 17*T1^4*T2^12 + 
     871*T1^5*T2^12 - 1654*T1^6*T2^12 + 470*T1^7*T2^12 + 4305*T1^8*T2^12 - 
     7138*T1^9*T2^12 + 6227*T1^10*T2^12 + 898*T1^11*T2^12 - 
     4083*T1^12*T2^12 + 3566*T1^13*T2^12 + 354*T1^14*T2^12 - 
     1489*T1^15*T2^12 + 799*T1^16*T2^12 - 158*T1^5*T2^13 - 198*T1^6*T2^13 + 
     1426*T1^7*T2^13 - 2808*T1^8*T2^13 + 1364*T1^9*T2^13 + 1685*T1^10*T2^13 - 
     4953*T1^11*T2^13 + 3566*T1^12*T2^13 - 558*T1^13*T2^13 - 
     2162*T1^14*T2^13 + 1862*T1^15*T2^13 - 674*T1^16*T2^13 + 199*T1^6*T2^14 - 
     421*T1^7*T2^14 + 101*T1^8*T2^14 + 1270*T1^9*T2^14 - 2246*T1^10*T2^14 + 
     1939*T1^11*T2^14 + 354*T1^12*T2^14 - 2162*T1^13*T2^14 + 
     2597*T1^14*T2^14 - 1461*T1^15*T2^14 + 407*T1^16*T2^14 - 116*T1^7*T2^15 + 
     428*T1^8*T2^15 - 741*T1^9*T2^15 + 482*T1^10*T2^15 + 391*T1^11*T2^15 - 
     1489*T1^12*T2^15 + 1862*T1^13*T2^15 - 1461*T1^14*T2^15 + 
     668*T1^15*T2^15 - 156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 
     407*T1^10*T2^16 - 674*T1^11*T2^16 + 799*T1^12*T2^16 - 674*T1^13*T2^16 + 
     407*T1^14*T2^16 - 156*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1202] -> 
  {(3 - 7*T + 3*T^2)^2/T^2, (6*(3 - 7*T1 + 3*T1^2)^2*(1 + T1*T2)*
     (3 - 7*T2 + 3*T2^2)^2*(3 - 7*T1*T2 + 3*T1^2*T2^2))/(T1^5*T2^4)}, 
 Knot[12, Alternating, 1203] -> 
  {(1 - 4*T + 10*T^2 - 18*T^3 + 25*T^4 - 27*T^5 + 25*T^6 - 18*T^7 + 10*T^8 - 
     4*T^9 + T^10)/T^5, (-4 + 16*T1 - 40*T1^2 + 72*T1^3 - 100*T1^4 + 
     108*T1^5 - 100*T1^6 + 72*T1^7 - 40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 168*T1^3*T2 + 184*T1^4*T2 - 132*T1^5*T2 + 
     76*T1^6*T2 + 12*T1^7*T2 - 56*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 
     12*T1^11*T2 - 40*T2^2 + 112*T1*T2^2 - 228*T1^2*T2^2 + 322*T1^3*T2^2 - 
     342*T1^4*T2^2 + 252*T1^5*T2^2 - 220*T1^6*T2^2 + 72*T1^7*T2^2 - 
     42*T1^8*T2^2 + 42*T1^9*T2^2 - 48*T1^10*T2^2 + 32*T1^11*T2^2 - 
     20*T1^12*T2^2 + 72*T2^3 - 168*T1*T2^3 + 322*T1^2*T2^3 - 410*T1^3*T2^3 + 
     390*T1^4*T2^3 - 232*T1^5*T2^3 + 254*T1^6*T2^3 + 12*T1^7*T2^3 + 
     46*T1^8*T2^3 - 56*T1^9*T2^3 + 56*T1^10*T2^3 - 18*T1^11*T2^3 + 
     8*T1^12*T2^3 + 18*T1^13*T2^3 - 100*T2^4 + 184*T1*T2^4 - 342*T1^2*T2^4 + 
     390*T1^3*T2^4 - 346*T1^4*T2^4 + 192*T1^5*T2^4 - 356*T1^6*T2^4 - 
     70*T1^7*T2^4 - 152*T1^8*T2^4 + 52*T1^9*T2^4 + 38*T1^10*T2^4 - 
     114*T1^11*T2^4 + 82*T1^12*T2^4 - 72*T1^13*T2^4 + 108*T2^5 - 
     132*T1*T2^5 + 252*T1^2*T2^5 - 232*T1^3*T2^5 + 192*T1^4*T2^5 - 
     123*T1^5*T2^5 + 449*T1^6*T2^5 + 137*T1^7*T2^5 + 377*T1^8*T2^5 - 
     106*T1^9*T2^5 - 3*T1^10*T2^5 - 3*T1^11*T2^5 + 98*T1^12*T2^5 - 
     78*T1^13*T2^5 + 108*T1^14*T2^5 - 27*T1^15*T2^5 - 100*T2^6 + 76*T1*T2^6 - 
     220*T1^2*T2^6 + 254*T1^3*T2^6 - 356*T1^4*T2^6 + 449*T1^5*T2^6 - 
     776*T1^6*T2^6 - 106*T1^7*T2^6 - 494*T1^8*T2^6 - 226*T1^9*T2^6 + 
     388*T1^10*T2^6 - 233*T1^11*T2^6 + 118*T1^12*T2^6 - 126*T1^13*T2^6 + 
     52*T1^14*T2^6 - 92*T1^15*T2^6 + 50*T1^16*T2^6 + 72*T2^7 + 12*T1*T2^7 + 
     72*T1^2*T2^7 + 12*T1^3*T2^7 - 70*T1^4*T2^7 + 137*T1^5*T2^7 - 
     106*T1^6*T2^7 + 1052*T1^7*T2^7 - 78*T1^8*T2^7 + 728*T1^9*T2^7 - 
     434*T1^10*T2^7 - 146*T1^11*T2^7 + 129*T1^12*T2^7 - 70*T1^13*T2^7 + 
     70*T1^14*T2^7 + 2*T1^15*T2^7 + 16*T1^16*T2^7 - 54*T1^17*T2^7 - 40*T2^8 - 
     56*T1*T2^8 - 42*T1^2*T2^8 + 46*T1^3*T2^8 - 152*T1^4*T2^8 + 
     377*T1^5*T2^8 - 494*T1^6*T2^8 - 78*T1^7*T2^8 - 948*T1^8*T2^8 - 
     40*T1^9*T2^8 - 24*T1^10*T2^8 + 430*T1^11*T2^8 + 234*T1^12*T2^8 - 
     235*T1^13*T2^8 + 184*T1^14*T2^8 - 102*T1^15*T2^8 + 30*T1^16*T2^8 + 
     56*T1^17*T2^8 + 40*T1^18*T2^8 + 16*T2^9 + 56*T1*T2^9 + 42*T1^2*T2^9 - 
     56*T1^3*T2^9 + 52*T1^4*T2^9 - 106*T1^5*T2^9 - 226*T1^6*T2^9 + 
     728*T1^7*T2^9 - 40*T1^8*T2^9 + 921*T1^9*T2^9 - 569*T1^10*T2^9 - 
     255*T1^11*T2^9 - 674*T1^12*T2^9 + 134*T1^13*T2^9 - 59*T1^14*T2^9 - 
     83*T1^15*T2^9 + 42*T1^16*T2^9 - 98*T1^17*T2^9 - 80*T1^18*T2^9 - 
     20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 48*T1^2*T2^10 + 56*T1^3*T2^10 + 
     38*T1^4*T2^10 - 3*T1^5*T2^10 + 388*T1^6*T2^10 - 434*T1^7*T2^10 - 
     24*T1^8*T2^10 - 569*T1^9*T2^10 + 384*T1^10*T2^10 + 333*T1^11*T2^10 + 
     1114*T1^12*T2^10 - 10*T1^13*T2^10 + 104*T1^14*T2^10 + 87*T1^15*T2^10 + 
     50*T1^16*T2^10 + 52*T1^17*T2^10 + 140*T1^18*T2^10 + 56*T1^19*T2^10 + 
     6*T1^20*T2^10 + 12*T1*T2^11 + 32*T1^2*T2^11 - 18*T1^3*T2^11 - 
     114*T1^4*T2^11 - 3*T1^5*T2^11 - 233*T1^6*T2^11 - 146*T1^7*T2^11 + 
     430*T1^8*T2^11 - 255*T1^9*T2^11 + 333*T1^10*T2^11 - 1157*T1^11*T2^11 - 
     470*T1^12*T2^11 - 972*T1^13*T2^11 + 214*T1^14*T2^11 - 186*T1^15*T2^11 - 
     138*T1^16*T2^11 - 16*T1^17*T2^11 - 158*T1^18*T2^11 - 104*T1^19*T2^11 - 
     24*T1^20*T2^11 - 20*T1^2*T2^12 + 8*T1^3*T2^12 + 82*T1^4*T2^12 + 
     98*T1^5*T2^12 + 118*T1^6*T2^12 + 129*T1^7*T2^12 + 234*T1^8*T2^12 - 
     674*T1^9*T2^12 + 1114*T1^10*T2^12 - 470*T1^11*T2^12 + 2038*T1^12*T2^12 - 
     166*T1^13*T2^12 + 962*T1^14*T2^12 - 483*T1^15*T2^12 + 454*T1^16*T2^12 - 
     50*T1^17*T2^12 + 154*T1^18*T2^12 + 120*T1^19*T2^12 + 60*T1^20*T2^12 + 
     18*T1^3*T2^13 - 72*T1^4*T2^13 - 78*T1^5*T2^13 - 126*T1^6*T2^13 - 
     70*T1^7*T2^13 - 235*T1^8*T2^13 + 134*T1^9*T2^13 - 10*T1^10*T2^13 - 
     972*T1^11*T2^13 - 166*T1^12*T2^13 - 1496*T1^13*T2^13 + 94*T1^14*T2^13 - 
     243*T1^15*T2^13 - 70*T1^16*T2^13 - 68*T1^17*T2^13 - 148*T1^18*T2^13 - 
     68*T1^19*T2^13 - 108*T1^20*T2^13 + 108*T1^5*T2^14 + 52*T1^6*T2^14 + 
     70*T1^7*T2^14 + 184*T1^8*T2^14 - 59*T1^9*T2^14 + 104*T1^10*T2^14 + 
     214*T1^11*T2^14 + 962*T1^12*T2^14 + 94*T1^13*T2^14 + 1268*T1^14*T2^14 - 
     741*T1^15*T2^14 + 658*T1^16*T2^14 - 310*T1^17*T2^14 + 324*T1^18*T2^14 - 
     60*T1^19*T2^14 + 150*T1^20*T2^14 - 27*T1^5*T2^15 - 92*T1^6*T2^15 + 
     2*T1^7*T2^15 - 102*T1^8*T2^15 - 83*T1^9*T2^15 + 87*T1^10*T2^15 - 
     186*T1^11*T2^15 - 483*T1^12*T2^15 - 243*T1^13*T2^15 - 741*T1^14*T2^15 + 
     207*T1^15*T2^15 - 278*T1^16*T2^15 + 228*T1^17*T2^15 - 328*T1^18*T2^15 + 
     148*T1^19*T2^15 - 162*T1^20*T2^15 + 50*T1^6*T2^16 + 16*T1^7*T2^16 + 
     30*T1^8*T2^16 + 42*T1^9*T2^16 + 50*T1^10*T2^16 - 138*T1^11*T2^16 + 
     454*T1^12*T2^16 - 70*T1^13*T2^16 + 658*T1^14*T2^16 - 278*T1^15*T2^16 + 
     434*T1^16*T2^16 - 462*T1^17*T2^16 + 454*T1^18*T2^16 - 240*T1^19*T2^16 + 
     150*T1^20*T2^16 - 54*T1^7*T2^17 + 56*T1^8*T2^17 - 98*T1^9*T2^17 + 
     52*T1^10*T2^17 - 16*T1^11*T2^17 - 50*T1^12*T2^17 - 68*T1^13*T2^17 - 
     310*T1^14*T2^17 + 228*T1^15*T2^17 - 462*T1^16*T2^17 + 518*T1^17*T2^17 - 
     438*T1^18*T2^17 + 232*T1^19*T2^17 - 108*T1^20*T2^17 + 40*T1^8*T2^18 - 
     80*T1^9*T2^18 + 140*T1^10*T2^18 - 158*T1^11*T2^18 + 154*T1^12*T2^18 - 
     148*T1^13*T2^18 + 324*T1^14*T2^18 - 328*T1^15*T2^18 + 454*T1^16*T2^18 - 
     438*T1^17*T2^18 + 320*T1^18*T2^18 - 160*T1^19*T2^18 + 60*T1^20*T2^18 - 
     20*T1^9*T2^19 + 56*T1^10*T2^19 - 104*T1^11*T2^19 + 120*T1^12*T2^19 - 
     68*T1^13*T2^19 - 60*T1^14*T2^19 + 148*T1^15*T2^19 - 240*T1^16*T2^19 + 
     232*T1^17*T2^19 - 160*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 
     6*T1^10*T2^20 - 24*T1^11*T2^20 + 60*T1^12*T2^20 - 108*T1^13*T2^20 + 
     150*T1^14*T2^20 - 162*T1^15*T2^20 + 150*T1^16*T2^20 - 108*T1^17*T2^20 + 
     60*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1204] -> 
  {(2 - 8*T + 18*T^2 - 29*T^3 + 35*T^4 - 29*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-31 + 124*T1 - 279*T1^2 + 450*T1^3 - 543*T1^4 + 450*T1^5 - 
     279*T1^6 + 124*T1^7 - 31*T1^8 + 124*T2 - 404*T1*T2 + 748*T1^2*T2 - 
     972*T1^3*T2 + 836*T1^4*T2 - 188*T1^5*T2 - 220*T1^6*T2 + 332*T1^7*T2 - 
     244*T1^8*T2 + 92*T1^9*T2 - 279*T2^2 + 748*T1*T2^2 - 1166*T1^2*T2^2 + 
     1258*T1^3*T2^2 - 722*T1^4*T2^2 - 480*T1^5*T2^2 + 502*T1^6*T2^2 - 
     254*T1^7*T2^2 - 14*T1^8*T2^2 + 172*T1^9*T2^2 - 135*T1^10*T2^2 + 
     450*T2^3 - 972*T1*T2^3 + 1258*T1^2*T2^3 - 1116*T1^3*T2^3 + 
     277*T1^4*T2^3 + 1067*T1^5*T2^3 + 29*T1^6*T2^3 - 437*T1^7*T2^3 + 
     534*T1^8*T2^3 - 434*T1^9*T2^3 + 132*T1^10*T2^3 + 102*T1^11*T2^3 - 
     543*T2^4 + 836*T1*T2^4 - 722*T1^2*T2^4 + 277*T1^3*T2^4 + 725*T1^4*T2^4 - 
     1767*T1^5*T2^4 - 567*T1^6*T2^4 + 241*T1^7*T2^4 + 221*T1^8*T2^4 - 
     419*T1^9*T2^4 + 606*T1^10*T2^4 - 476*T1^11*T2^4 + 17*T1^12*T2^4 + 
     450*T2^5 - 188*T1*T2^5 - 480*T1^2*T2^5 + 1067*T1^3*T2^5 - 
     1767*T1^4*T2^5 + 1692*T1^5*T2^5 + 1604*T1^6*T2^5 + 136*T1^7*T2^5 - 
     904*T1^8*T2^5 + 551*T1^9*T2^5 - 423*T1^10*T2^5 - 24*T1^11*T2^5 + 
     452*T1^12*T2^5 - 130*T1^13*T2^5 - 279*T2^6 - 220*T1*T2^6 + 
     502*T1^2*T2^6 + 29*T1^3*T2^6 - 567*T1^4*T2^6 + 1604*T1^5*T2^6 - 
     3535*T1^6*T2^6 - 851*T1^7*T2^6 + 1853*T1^8*T2^6 - 496*T1^9*T2^6 + 
     241*T1^10*T2^6 + 389*T1^11*T2^6 - 514*T1^12*T2^6 - 92*T1^13*T2^6 + 
     153*T1^14*T2^6 + 124*T2^7 + 332*T1*T2^7 - 254*T1^2*T2^7 - 
     437*T1^3*T2^7 + 241*T1^4*T2^7 + 136*T1^5*T2^7 - 851*T1^6*T2^7 + 
     5265*T1^7*T2^7 - 3693*T1^8*T2^7 - 180*T1^9*T2^7 + 340*T1^10*T2^7 - 
     837*T1^11*T2^7 + 349*T1^12*T2^7 + 358*T1^13*T2^7 - 212*T1^14*T2^7 - 
     100*T1^15*T2^7 - 31*T2^8 - 244*T1*T2^8 - 14*T1^2*T2^8 + 534*T1^3*T2^8 + 
     221*T1^4*T2^8 - 904*T1^5*T2^8 + 1853*T1^6*T2^8 - 3693*T1^7*T2^8 + 
     276*T1^8*T2^8 + 3573*T1^9*T2^8 - 1261*T1^10*T2^8 + 936*T1^11*T2^8 + 
     77*T1^12*T2^8 - 486*T1^13*T2^8 + 82*T1^14*T2^8 + 268*T1^15*T2^8 + 
     33*T1^16*T2^8 + 92*T1*T2^9 + 172*T1^2*T2^9 - 434*T1^3*T2^9 - 
     419*T1^4*T2^9 + 551*T1^5*T2^9 - 496*T1^6*T2^9 - 180*T1^7*T2^9 + 
     3573*T1^8*T2^9 - 5385*T1^9*T2^9 + 491*T1^10*T2^9 - 292*T1^11*T2^9 - 
     527*T1^12*T2^9 + 367*T1^13*T2^9 + 178*T1^14*T2^9 - 372*T1^15*T2^9 - 
     132*T1^16*T2^9 - 135*T1^2*T2^10 + 132*T1^3*T2^10 + 606*T1^4*T2^10 - 
     423*T1^5*T2^10 + 241*T1^6*T2^10 + 340*T1^7*T2^10 - 1261*T1^8*T2^10 + 
     491*T1^9*T2^10 + 4127*T1^10*T2^10 - 1760*T1^11*T2^10 + 
     1049*T1^12*T2^10 - 63*T1^13*T2^10 - 410*T1^14*T2^10 + 260*T1^15*T2^10 + 
     297*T1^16*T2^10 + 102*T1^3*T2^11 - 476*T1^4*T2^11 - 24*T1^5*T2^11 + 
     389*T1^6*T2^11 - 837*T1^7*T2^11 + 936*T1^8*T2^11 - 292*T1^9*T2^11 - 
     1760*T1^10*T2^11 - 1660*T1^11*T2^11 + 1481*T1^12*T2^11 - 
     1101*T1^13*T2^11 + 432*T1^14*T2^11 + 164*T1^15*T2^11 - 478*T1^16*T2^11 + 
     17*T1^4*T2^12 + 452*T1^5*T2^12 - 514*T1^6*T2^12 + 349*T1^7*T2^12 + 
     77*T1^8*T2^12 - 527*T1^9*T2^12 + 1049*T1^10*T2^12 + 1481*T1^11*T2^12 - 
     427*T1^12*T2^12 - 347*T1^13*T2^12 + 814*T1^14*T2^12 - 860*T1^15*T2^12 + 
     577*T1^16*T2^12 - 130*T1^5*T2^13 - 92*T1^6*T2^13 + 358*T1^7*T2^13 - 
     486*T1^8*T2^13 + 367*T1^9*T2^13 - 63*T1^10*T2^13 - 1101*T1^11*T2^13 - 
     347*T1^12*T2^13 + 1164*T1^13*T2^13 - 1334*T1^14*T2^13 + 
     1012*T1^15*T2^13 - 478*T1^16*T2^13 + 153*T1^6*T2^14 - 212*T1^7*T2^14 + 
     82*T1^8*T2^14 + 178*T1^9*T2^14 - 410*T1^10*T2^14 + 432*T1^11*T2^14 + 
     814*T1^12*T2^14 - 1334*T1^13*T2^14 + 1234*T1^14*T2^14 - 
     788*T1^15*T2^14 + 297*T1^16*T2^14 - 100*T1^7*T2^15 + 268*T1^8*T2^15 - 
     372*T1^9*T2^15 + 260*T1^10*T2^15 + 164*T1^11*T2^15 - 860*T1^12*T2^15 + 
     1012*T1^13*T2^15 - 788*T1^14*T2^15 + 428*T1^15*T2^15 - 132*T1^16*T2^15 + 
     33*T1^8*T2^16 - 132*T1^9*T2^16 + 297*T1^10*T2^16 - 478*T1^11*T2^16 + 
     577*T1^12*T2^16 - 478*T1^13*T2^16 + 297*T1^14*T2^16 - 132*T1^15*T2^16 + 
     33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1205] -> 
  {(4 - 15*T + 26*T^2 - 29*T^3 + 26*T^4 - 15*T^5 + 4*T^6)/T^3, 
   (2*(-120 + 448*T1 - 772*T1^2 + 860*T1^3 - 772*T1^4 + 448*T1^5 - 120*T1^6 + 
      448*T2 - 1344*T1*T2 + 1658*T1^2*T2 - 1108*T1^3*T2 + 542*T1^4*T2 + 
      428*T1^5*T2 - 774*T1^6*T2 + 328*T1^7*T2 - 772*T2^2 + 1658*T1*T2^2 - 
      711*T1^2*T2^2 - 1140*T1^3*T2^2 + 1733*T1^4*T2^2 - 2596*T1^5*T2^2 + 
      1577*T1^6*T2^2 + 98*T1^7*T2^2 - 356*T1^8*T2^2 + 860*T2^3 - 
      1108*T1*T2^3 - 1140*T1^2*T2^3 + 2909*T1^3*T2^3 - 1920*T1^4*T2^3 + 
      1671*T1^5*T2^3 + 656*T1^6*T2^3 - 1959*T1^7*T2^3 + 722*T1^8*T2^3 + 
      164*T1^9*T2^3 - 772*T2^4 + 542*T1*T2^4 + 1733*T1^2*T2^4 - 
      1920*T1^3*T2^4 - 703*T1^4*T2^4 + 984*T1^5*T2^4 - 2217*T1^6*T2^4 + 
      1618*T1^7*T2^4 + 616*T1^8*T2^4 - 838*T1^9*T2^4 + 60*T1^10*T2^4 + 
      448*T2^5 + 428*T1*T2^5 - 2596*T1^2*T2^5 + 1671*T1^3*T2^5 + 
      984*T1^4*T2^5 + 40*T1^5*T2^5 - 360*T1^6*T2^5 + 932*T1^7*T2^5 - 
      2026*T1^8*T2^5 + 771*T1^9*T2^5 + 338*T1^10*T2^5 - 152*T1^11*T2^5 - 
      120*T2^6 - 774*T1*T2^6 + 1577*T1^2*T2^6 + 656*T1^3*T2^6 - 
      2217*T1^4*T2^6 - 360*T1^5*T2^6 + 1248*T1^6*T2^6 - 644*T1^7*T2^6 + 
      853*T1^8*T2^6 + 824*T1^9*T2^6 - 1221*T1^10*T2^6 + 306*T1^11*T2^6 + 
      72*T1^12*T2^6 + 328*T1*T2^7 + 98*T1^2*T2^7 - 1959*T1^3*T2^7 + 
      1618*T1^4*T2^7 + 932*T1^5*T2^7 - 644*T1^6*T2^7 - 1044*T1^7*T2^7 + 
      880*T1^8*T2^7 - 2079*T1^9*T2^7 + 1408*T1^10*T2^7 + 8*T1^11*T2^7 - 
      272*T1^12*T2^7 - 356*T1^2*T2^8 + 722*T1^3*T2^8 + 616*T1^4*T2^8 - 
      2026*T1^5*T2^8 + 853*T1^6*T2^8 + 880*T1^7*T2^8 - 661*T1^8*T2^8 + 
      1512*T1^9*T2^8 - 501*T1^10*T2^8 - 658*T1^11*T2^8 + 476*T1^12*T2^8 + 
      164*T1^3*T2^9 - 838*T1^4*T2^9 + 771*T1^5*T2^9 + 824*T1^6*T2^9 - 
      2079*T1^7*T2^9 + 1512*T1^8*T2^9 - 1429*T1^9*T2^9 - 48*T1^10*T2^9 + 
      992*T1^11*T2^9 - 532*T1^12*T2^9 + 60*T1^4*T2^10 + 338*T1^5*T2^10 - 
      1221*T1^6*T2^10 + 1408*T1^7*T2^10 - 501*T1^8*T2^10 - 48*T1^9*T2^10 + 
      1067*T1^10*T2^10 - 1222*T1^11*T2^10 + 476*T1^12*T2^10 - 
      152*T1^5*T2^11 + 306*T1^6*T2^11 + 8*T1^7*T2^11 - 658*T1^8*T2^11 + 
      992*T1^9*T2^11 - 1222*T1^10*T2^11 + 876*T1^11*T2^11 - 272*T1^12*T2^11 + 
      72*T1^6*T2^12 - 272*T1^7*T2^12 + 476*T1^8*T2^12 - 532*T1^9*T2^12 + 
      476*T1^10*T2^12 - 272*T1^11*T2^12 + 72*T1^12*T2^12))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, Alternating, 1206] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2)^2)/T^3), 
   -(((2 - 3*T1 + 2*T1^2)*(2 - 3*T2 + 2*T2^2)*(2 - 3*T1*T2 + 2*T1^2*T2^2)*
      (-42 + 186*T1 - 266*T1^2 + 186*T1^3 - 42*T1^4 + 186*T2 - 686*T1*T2 + 
       572*T1^2*T2 + 44*T1^3*T2 - 422*T1^4*T2 + 138*T1^5*T2 - 266*T2^2 + 
       572*T1*T2^2 + 847*T1^2*T2^2 - 2125*T1^3*T2^2 + 1705*T1^4*T2^2 - 
       130*T1^5*T2^2 - 110*T1^6*T2^2 + 186*T2^3 + 44*T1*T2^3 - 
       2125*T1^2*T2^3 + 2585*T1^3*T2^3 - 781*T1^4*T2^3 - 1072*T1^5*T2^3 + 
       410*T1^6*T2^3 + 18*T1^7*T2^3 - 42*T2^4 - 422*T1*T2^4 + 
       1705*T1^2*T2^4 - 781*T1^3*T2^4 - 1308*T1^4*T2^4 + 1973*T1^5*T2^4 - 
       413*T1^6*T2^4 - 98*T1^7*T2^4 + 6*T1^8*T2^4 + 138*T1*T2^5 - 
       130*T1^2*T2^5 - 1072*T1^3*T2^5 + 1973*T1^4*T2^5 - 1393*T1^5*T2^5 - 
       19*T1^6*T2^5 + 236*T1^7*T2^5 - 30*T1^8*T2^5 - 110*T1^2*T2^6 + 
       410*T1^3*T2^6 - 413*T1^4*T2^6 - 19*T1^5*T2^6 + 445*T1^6*T2^6 - 
       292*T1^7*T2^6 + 46*T1^8*T2^6 + 18*T1^3*T2^7 - 98*T1^4*T2^7 + 
       236*T1^5*T2^7 - 292*T1^6*T2^7 + 166*T1^7*T2^7 - 30*T1^8*T2^7 + 
       6*T1^4*T2^8 - 30*T1^5*T2^8 + 46*T1^6*T2^8 - 30*T1^7*T2^8 + 
       6*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1207] -> 
  {(2 - 11*T + 28*T^2 - 42*T^3 + 47*T^4 - 42*T^5 + 28*T^6 - 11*T^7 + 2*T^8)/
    T^4, (-49 + 268*T1 - 680*T1^2 + 1018*T1^3 - 1139*T1^4 + 1018*T1^5 - 
     680*T1^6 + 268*T1^7 - 49*T1^8 + 268*T2 - 1242*T1*T2 + 2495*T1^2*T2 - 
     2464*T1^3*T2 + 1585*T1^4*T2 - 373*T1^5*T2 - 924*T1^6*T2 + 1637*T1^7*T2 - 
     956*T1^8*T2 + 224*T1^9*T2 - 680*T2^2 + 2495*T1*T2^2 - 3184*T1^2*T2^2 - 
     423*T1^3*T2^2 + 3440*T1^4*T2^2 - 5046*T1^5*T2^2 + 5568*T1^6*T2^2 - 
     3895*T1^7*T2^2 - 272*T1^8*T2^2 + 1263*T1^9*T2^2 - 456*T1^10*T2^2 + 
     1018*T2^3 - 2464*T1*T2^3 - 423*T1^2*T2^3 + 9052*T1^3*T2^3 - 
     9523*T1^4*T2^3 + 6683*T1^5*T2^3 - 3089*T1^6*T2^3 - 2579*T1^7*T2^3 + 
     8128*T1^8*T2^3 - 3475*T1^9*T2^3 - 308*T1^10*T2^3 + 514*T1^11*T2^3 - 
     1139*T2^4 + 1585*T1*T2^4 + 3440*T1^2*T2^4 - 9523*T1^3*T2^4 - 
     2098*T1^4*T2^4 + 10521*T1^5*T2^4 - 14170*T1^6*T2^4 + 16421*T1^7*T2^4 - 
     13822*T1^8*T2^4 - 1291*T1^9*T2^4 + 3804*T1^10*T2^4 - 703*T1^11*T2^4 - 
     387*T1^12*T2^4 + 1018*T2^5 - 373*T1*T2^5 - 5046*T1^2*T2^5 + 
     6683*T1^3*T2^5 + 10521*T1^4*T2^5 - 11787*T1^5*T2^5 + 7682*T1^6*T2^5 - 
     4792*T1^7*T2^5 - 945*T1^8*T2^5 + 13161*T1^9*T2^5 - 3817*T1^10*T2^5 - 
     2097*T1^11*T2^5 + 1145*T1^12*T2^5 + 178*T1^13*T2^5 - 680*T2^6 - 
     924*T1*T2^6 + 5568*T1^2*T2^6 - 3089*T1^3*T2^6 - 14170*T1^4*T2^6 + 
     7682*T1^5*T2^6 - 2509*T1^6*T2^6 + 2825*T1^7*T2^6 - 1053*T1^8*T2^6 - 
     4862*T1^9*T2^6 - 7562*T1^10*T2^6 + 5591*T1^11*T2^6 - 88*T1^12*T2^6 - 
     924*T1^13*T2^6 - 8*T1^14*T2^6 + 268*T2^7 + 1637*T1*T2^7 - 
     3895*T1^2*T2^7 - 2579*T1^3*T2^7 + 16421*T1^4*T2^7 - 4792*T1^5*T2^7 + 
     2825*T1^6*T2^7 - 7330*T1^7*T2^7 + 5886*T1^8*T2^7 - 171*T1^9*T2^7 + 
     7542*T1^10*T2^7 + 741*T1^11*T2^7 - 4371*T1^12*T2^7 + 1677*T1^13*T2^7 + 
     251*T1^14*T2^7 - 40*T1^15*T2^7 - 49*T2^8 - 956*T1*T2^8 - 272*T1^2*T2^8 + 
     8128*T1^3*T2^8 - 13822*T1^4*T2^8 - 945*T1^5*T2^8 - 1053*T1^6*T2^8 + 
     5886*T1^7*T2^8 - 264*T1^8*T2^8 - 5774*T1^9*T2^8 + 1103*T1^10*T2^8 - 
     8151*T1^11*T2^8 + 6190*T1^12*T2^8 - 328*T1^13*T2^8 - 1090*T1^14*T2^8 + 
     144*T1^15*T2^8 + 15*T1^16*T2^8 + 224*T1*T2^9 + 1263*T1^2*T2^9 - 
     3475*T1^3*T2^9 - 1291*T1^4*T2^9 + 13161*T1^5*T2^9 - 4862*T1^6*T2^9 - 
     171*T1^7*T2^9 - 5774*T1^8*T2^9 + 7442*T1^9*T2^9 - 3167*T1^10*T2^9 + 
     7472*T1^11*T2^9 - 2519*T1^12*T2^9 - 3083*T1^13*T2^9 + 2097*T1^14*T2^9 - 
     123*T1^15*T2^9 - 84*T1^16*T2^9 - 456*T1^2*T2^10 - 308*T1^3*T2^10 + 
     3804*T1^4*T2^10 - 3817*T1^5*T2^10 - 7562*T1^6*T2^10 + 7542*T1^7*T2^10 + 
     1103*T1^8*T2^10 - 3167*T1^9*T2^10 + 2559*T1^10*T2^10 - 
     5002*T1^11*T2^10 - 954*T1^12*T2^10 + 4863*T1^13*T2^10 - 
     1852*T1^14*T2^10 - 308*T1^15*T2^10 + 216*T1^16*T2^10 + 514*T1^3*T2^11 - 
     703*T1^4*T2^11 - 2097*T1^5*T2^11 + 5591*T1^6*T2^11 + 741*T1^7*T2^11 - 
     8151*T1^8*T2^11 + 7472*T1^9*T2^11 - 5002*T1^10*T2^11 + 
     2691*T1^11*T2^11 + 3381*T1^12*T2^11 - 4909*T1^13*T2^11 + 
     852*T1^14*T2^11 + 815*T1^15*T2^11 - 326*T1^16*T2^11 - 387*T1^4*T2^12 + 
     1145*T1^5*T2^12 - 88*T1^6*T2^12 - 4371*T1^7*T2^12 + 6190*T1^8*T2^12 - 
     2519*T1^9*T2^12 - 954*T1^10*T2^12 + 3381*T1^11*T2^12 - 
     5534*T1^12*T2^12 + 3861*T1^13*T2^12 + 276*T1^14*T2^12 - 
     1143*T1^15*T2^12 + 365*T1^16*T2^12 + 178*T1^5*T2^13 - 924*T1^6*T2^13 + 
     1677*T1^7*T2^13 - 328*T1^8*T2^13 - 3083*T1^9*T2^13 + 4863*T1^10*T2^13 - 
     4909*T1^11*T2^13 + 3861*T1^12*T2^13 - 1252*T1^13*T2^13 - 
     1375*T1^14*T2^13 + 1232*T1^15*T2^13 - 326*T1^16*T2^13 - 8*T1^6*T2^14 + 
     251*T1^7*T2^14 - 1090*T1^8*T2^14 + 2097*T1^9*T2^14 - 1852*T1^10*T2^14 + 
     852*T1^11*T2^14 + 276*T1^12*T2^14 - 1375*T1^13*T2^14 + 
     1822*T1^14*T2^14 - 981*T1^15*T2^14 + 216*T1^16*T2^14 - 40*T1^7*T2^15 + 
     144*T1^8*T2^15 - 123*T1^9*T2^15 - 308*T1^10*T2^15 + 815*T1^11*T2^15 - 
     1143*T1^12*T2^15 + 1232*T1^13*T2^15 - 981*T1^14*T2^15 + 
     430*T1^15*T2^15 - 84*T1^16*T2^15 + 15*T1^8*T2^16 - 84*T1^9*T2^16 + 
     216*T1^10*T2^16 - 326*T1^11*T2^16 + 365*T1^12*T2^16 - 326*T1^13*T2^16 + 
     216*T1^14*T2^16 - 84*T1^15*T2^16 + 15*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1208] -> 
  {(4 - 23*T + 58*T^2 - 77*T^3 + 58*T^4 - 23*T^5 + 4*T^6)/T^3, 
   (-272 + 1552*T1 - 3896*T1^2 + 5160*T1^3 - 3896*T1^4 + 1552*T1^5 - 
     272*T1^6 + 1552*T2 - 7676*T1*T2 + 15499*T1^2*T2 - 12555*T1^3*T2 - 
     135*T1^4*T2 + 8047*T1^5*T2 - 5192*T1^6*T2 + 1184*T1^7*T2 - 3896*T2^2 + 
     15499*T1*T2^2 - 19400*T1^2*T2^2 - 11013*T1^3*T2^2 + 43074*T1^4*T2^2 - 
     36069*T1^5*T2^2 + 5656*T1^6*T2^2 + 4827*T1^7*T2^2 - 2040*T1^8*T2^2 + 
     5160*T2^3 - 12555*T1*T2^3 - 11013*T1^2*T2^3 + 79926*T1^3*T2^3 - 
     90192*T1^4*T2^3 + 15054*T1^5*T2^3 + 46716*T1^6*T2^3 - 28587*T1^7*T2^3 + 
     3361*T1^8*T2^3 + 1464*T1^9*T2^3 - 3896*T2^4 - 135*T1*T2^4 + 
     43074*T1^2*T2^4 - 90192*T1^3*T2^4 + 2150*T1^4*T2^4 + 133456*T1^5*T2^4 - 
     139006*T1^6*T2^4 + 29620*T1^7*T2^4 + 15432*T1^8*T2^4 - 7311*T1^9*T2^4 - 
     184*T1^10*T2^4 + 1552*T2^5 + 8047*T1*T2^5 - 36069*T1^2*T2^5 + 
     15054*T1^3*T2^5 + 133456*T1^4*T2^5 - 207062*T1^5*T2^5 + 
     84106*T1^6*T2^5 + 69192*T1^7*T2^5 - 61060*T1^8*T2^5 + 11433*T1^9*T2^5 + 
     2619*T1^10*T2^5 - 288*T1^11*T2^5 - 272*T2^6 - 5192*T1*T2^6 + 
     5656*T1^2*T2^6 + 46716*T1^3*T2^6 - 139006*T1^4*T2^6 + 84106*T1^5*T2^6 + 
     92772*T1^6*T2^6 - 167150*T1^7*T2^6 + 66942*T1^8*T2^6 + 7308*T1^9*T2^6 - 
     10532*T1^10*T2^6 + 1064*T1^11*T2^6 + 112*T1^12*T2^6 + 1184*T1*T2^7 + 
     4827*T1^2*T2^7 - 28587*T1^3*T2^7 + 29620*T1^4*T2^7 + 69192*T1^5*T2^7 - 
     167150*T1^6*T2^7 + 124018*T1^7*T2^7 + 4928*T1^8*T2^7 - 46494*T1^9*T2^7 + 
     18915*T1^10*T2^7 - 601*T1^11*T2^7 - 656*T1^12*T2^7 - 2040*T1^2*T2^8 + 
     3361*T1^3*T2^8 + 15432*T1^4*T2^8 - 61060*T1^5*T2^8 + 66942*T1^6*T2^8 + 
     4928*T1^7*T2^8 - 74214*T1^8*T2^8 + 58752*T1^9*T2^8 - 12210*T1^10*T2^8 - 
     3815*T1^11*T2^8 + 1672*T1^12*T2^8 + 1464*T1^3*T2^9 - 7311*T1^4*T2^9 + 
     11433*T1^5*T2^9 + 7308*T1^6*T2^9 - 46494*T1^7*T2^9 + 58752*T1^8*T2^9 - 
     25902*T1^9*T2^9 - 6141*T1^10*T2^9 + 8605*T1^11*T2^9 - 2232*T1^12*T2^9 - 
     184*T1^4*T2^10 + 2619*T1^5*T2^10 - 10532*T1^6*T2^10 + 18915*T1^7*T2^10 - 
     12210*T1^8*T2^10 - 6141*T1^9*T2^10 + 14524*T1^10*T2^10 - 
     8053*T1^11*T2^10 + 1672*T1^12*T2^10 - 288*T1^5*T2^11 + 1064*T1^6*T2^11 - 
     601*T1^7*T2^11 - 3815*T1^8*T2^11 + 8605*T1^9*T2^11 - 8053*T1^10*T2^11 + 
     3548*T1^11*T2^11 - 656*T1^12*T2^11 + 112*T1^6*T2^12 - 656*T1^7*T2^12 + 
     1672*T1^8*T2^12 - 2232*T1^9*T2^12 + 1672*T1^10*T2^12 - 656*T1^11*T2^12 + 
     112*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1209] -> 
  {-((1 - 5*T + 12*T^2 - 22*T^3 + 32*T^4 - 37*T^5 + 32*T^6 - 22*T^7 + 
      12*T^8 - 5*T^9 + T^10)/T^5), 
   -(((1 - 5*T1 + 12*T1^2 - 22*T1^3 + 32*T1^4 - 37*T1^5 + 32*T1^6 - 22*T1^7 + 
       12*T1^8 - 5*T1^9 + T1^10)*(1 + T1*T2)*(5 - 20*T1*T2 + 41*T1^2*T2^2 - 
       64*T1^3*T2^3 + 73*T1^4*T2^4 - 64*T1^5*T2^5 + 41*T1^6*T2^6 - 
       20*T1^7*T2^7 + 5*T1^8*T2^8)*(1 - 5*T2 + 12*T2^2 - 22*T2^3 + 32*T2^4 - 
       37*T2^5 + 32*T2^6 - 22*T2^7 + 12*T2^8 - 5*T2^9 + T2^10))/
     (T1^11*T2^10))}, Knot[12, Alternating, 1210] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - T + T^2 - T^3 + 
       T^4))/T^5), -((-3 + 15*T1 - 36*T1^2 + 63*T1^3 - 84*T1^4 + 93*T1^5 - 
      84*T1^6 + 63*T1^7 - 36*T1^8 + 15*T1^9 - 3*T1^10 + 15*T2 - 65*T1*T2 + 
      130*T1^2*T2 - 195*T1^3*T2 + 210*T1^4*T2 - 185*T1^5*T2 + 110*T1^6*T2 - 
      35*T1^7*T2 - 30*T1^8*T2 + 45*T1^9*T2 - 35*T1^10*T2 + 10*T1^11*T2 - 
      36*T2^2 + 130*T1*T2^2 - 196*T1^2*T2^2 + 226*T1^3*T2^2 - 124*T1^4*T2^2 + 
      2*T1^5*T2^2 + 168*T1^6*T2^2 - 238*T1^7*T2^2 + 260*T1^8*T2^2 - 
      158*T1^9*T2^2 + 68*T1^10*T2^2 + 10*T1^11*T2^2 - 12*T1^12*T2^2 + 
      63*T2^3 - 195*T1*T2^3 + 226*T1^2*T2^3 - 223*T1^3*T2^3 + 25*T1^4*T2^3 + 
      86*T1^5*T2^3 - 256*T1^6*T2^3 + 197*T1^7*T2^3 - 145*T1^8*T2^3 - 
      74*T1^9*T2^3 + 143*T1^10*T2^3 - 170*T1^11*T2^3 + 60*T1^12*T2^3 - 
      84*T2^4 + 210*T1*T2^4 - 124*T1^2*T2^4 + 25*T1^3*T2^4 + 341*T1^4*T2^4 - 
      457*T1^5*T2^4 + 655*T1^6*T2^4 - 441*T1^7*T2^4 + 347*T1^8*T2^4 - 
      9*T1^9*T2^4 + 5*T1^10*T2^4 - 17*T1^11*T2^4 + 170*T1^12*T2^4 - 
      140*T1^13*T2^4 + 28*T1^14*T2^4 + 93*T2^5 - 185*T1*T2^5 + 2*T1^2*T2^5 + 
      86*T1^3*T2^5 - 457*T1^4*T2^5 + 421*T1^5*T2^5 - 582*T1^6*T2^5 + 
      278*T1^7*T2^5 - 319*T1^8*T2^5 + 15*T1^9*T2^5 - 163*T1^10*T2^5 + 
      159*T1^11*T2^5 - 187*T1^12*T2^5 - 10*T1^13*T2^5 + 170*T1^14*T2^5 - 
      62*T1^15*T2^5 - 84*T2^6 + 110*T1*T2^6 + 168*T1^2*T2^6 - 256*T1^3*T2^6 + 
      655*T1^4*T2^6 - 582*T1^5*T2^6 + 749*T1^6*T2^6 - 380*T1^7*T2^6 + 
      367*T1^8*T2^6 + 132*T1^9*T2^6 - 83*T1^10*T2^6 + 198*T1^11*T2^6 - 
      269*T1^12*T2^6 + 296*T1^13*T2^6 - 244*T1^14*T2^6 - 110*T1^15*T2^6 + 
      84*T1^16*T2^6 + 63*T2^7 - 35*T1*T2^7 - 238*T1^2*T2^7 + 197*T1^3*T2^7 - 
      441*T1^4*T2^7 + 278*T1^5*T2^7 - 380*T1^6*T2^7 + 205*T1^7*T2^7 - 
      388*T1^8*T2^7 + 221*T1^9*T2^7 - 485*T1^10*T2^7 + 480*T1^11*T2^7 - 
      209*T1^12*T2^7 + 279*T1^13*T2^7 - 124*T1^14*T2^7 + 382*T1^15*T2^7 - 
      84*T1^17*T2^7 - 36*T2^8 - 30*T1*T2^8 + 260*T1^2*T2^8 - 145*T1^3*T2^8 + 
      347*T1^4*T2^8 - 319*T1^5*T2^8 + 367*T1^6*T2^8 - 388*T1^7*T2^8 + 
      240*T1^8*T2^8 + 46*T1^9*T2^8 - 300*T1^10*T2^8 + 494*T1^11*T2^8 - 
      1019*T1^12*T2^8 + 443*T1^13*T2^8 - 577*T1^14*T2^8 - 19*T1^15*T2^8 - 
      394*T1^16*T2^8 + 120*T1^17*T2^8 + 60*T1^18*T2^8 + 15*T2^9 + 
      45*T1*T2^9 - 158*T1^2*T2^9 - 74*T1^3*T2^9 - 9*T1^4*T2^9 + 
      15*T1^5*T2^9 + 132*T1^6*T2^9 + 221*T1^7*T2^9 + 46*T1^8*T2^9 + 
      343*T1^9*T2^9 - 171*T1^10*T2^9 + 486*T1^11*T2^9 + 158*T1^12*T2^9 + 
      664*T1^13*T2^9 + 150*T1^14*T2^9 + 383*T1^15*T2^9 + 367*T1^16*T2^9 + 
      142*T1^17*T2^9 - 150*T1^18*T2^9 - 30*T1^19*T2^9 - 3*T2^10 - 
      35*T1*T2^10 + 68*T1^2*T2^10 + 143*T1^3*T2^10 + 5*T1^4*T2^10 - 
      163*T1^5*T2^10 - 83*T1^6*T2^10 - 485*T1^7*T2^10 - 300*T1^8*T2^10 - 
      171*T1^9*T2^10 - 888*T1^10*T2^10 + 699*T1^11*T2^10 - 1828*T1^12*T2^10 + 
      661*T1^13*T2^10 - 1607*T1^14*T2^10 + 311*T1^15*T2^10 - 
      799*T1^16*T2^10 - 223*T1^17*T2^10 + 52*T1^18*T2^10 + 115*T1^19*T2^10 + 
      7*T1^20*T2^10 + 10*T1*T2^11 + 10*T1^2*T2^11 - 170*T1^3*T2^11 - 
      17*T1^4*T2^11 + 159*T1^5*T2^11 + 198*T1^6*T2^11 + 480*T1^7*T2^11 + 
      494*T1^8*T2^11 + 486*T1^9*T2^11 + 699*T1^10*T2^11 + 185*T1^11*T2^11 + 
      926*T1^12*T2^11 + 431*T1^13*T2^11 + 1012*T1^14*T2^11 + 
      333*T1^15*T2^11 + 551*T1^16*T2^11 + 424*T1^17*T2^11 + 130*T1^18*T2^11 - 
      185*T1^19*T2^11 - 35*T1^20*T2^11 - 12*T1^2*T2^12 + 60*T1^3*T2^12 + 
      170*T1^4*T2^12 - 187*T1^5*T2^12 - 269*T1^6*T2^12 - 209*T1^7*T2^12 - 
      1019*T1^8*T2^12 + 158*T1^9*T2^12 - 1828*T1^10*T2^12 + 926*T1^11*T2^12 - 
      2368*T1^12*T2^12 + 1040*T1^13*T2^12 - 2405*T1^14*T2^12 + 
      553*T1^15*T2^12 - 1193*T1^16*T2^12 - 61*T1^17*T2^12 - 484*T1^18*T2^12 + 
      210*T1^19*T2^12 + 84*T1^20*T2^12 - 140*T1^4*T2^13 - 10*T1^5*T2^13 + 
      296*T1^6*T2^13 + 279*T1^7*T2^13 + 443*T1^8*T2^13 + 664*T1^9*T2^13 + 
      661*T1^10*T2^13 + 431*T1^11*T2^13 + 1040*T1^12*T2^13 - 29*T1^13*T2^13 + 
      1524*T1^14*T2^13 - 44*T1^15*T2^13 + 999*T1^16*T2^13 - 25*T1^17*T2^13 + 
      610*T1^18*T2^13 - 105*T1^19*T2^13 - 147*T1^20*T2^13 + 28*T1^4*T2^14 + 
      170*T1^5*T2^14 - 244*T1^6*T2^14 - 124*T1^7*T2^14 - 577*T1^8*T2^14 + 
      150*T1^9*T2^14 - 1607*T1^10*T2^14 + 1012*T1^11*T2^14 - 
      2405*T1^12*T2^14 + 1524*T1^13*T2^14 - 2439*T1^14*T2^14 + 
      930*T1^15*T2^14 - 1501*T1^16*T2^14 + 428*T1^17*T2^14 - 
      656*T1^18*T2^14 - 50*T1^19*T2^14 + 196*T1^20*T2^14 - 62*T1^5*T2^15 - 
      110*T1^6*T2^15 + 382*T1^7*T2^15 - 19*T1^8*T2^15 + 383*T1^9*T2^15 + 
      311*T1^10*T2^15 + 333*T1^11*T2^15 + 553*T1^12*T2^15 - 44*T1^13*T2^15 + 
      930*T1^14*T2^15 - 273*T1^15*T2^15 + 999*T1^16*T2^15 - 292*T1^17*T2^15 + 
      370*T1^18*T2^15 + 245*T1^19*T2^15 - 217*T1^20*T2^15 + 84*T1^6*T2^16 - 
      394*T1^8*T2^16 + 367*T1^9*T2^16 - 799*T1^10*T2^16 + 551*T1^11*T2^16 - 
      1193*T1^12*T2^16 + 999*T1^13*T2^16 - 1501*T1^14*T2^16 + 
      999*T1^15*T2^16 - 1135*T1^16*T2^16 + 325*T1^17*T2^16 - 
      100*T1^18*T2^16 - 350*T1^19*T2^16 + 196*T1^20*T2^16 - 84*T1^7*T2^17 + 
      120*T1^8*T2^17 + 142*T1^9*T2^17 - 223*T1^10*T2^17 + 424*T1^11*T2^17 - 
      61*T1^12*T2^17 - 25*T1^13*T2^17 + 428*T1^14*T2^17 - 292*T1^15*T2^17 + 
      325*T1^16*T2^17 + 143*T1^17*T2^17 - 254*T1^18*T2^17 + 375*T1^19*T2^17 - 
      147*T1^20*T2^17 + 60*T1^8*T2^18 - 150*T1^9*T2^18 + 52*T1^10*T2^18 + 
      130*T1^11*T2^18 - 484*T1^12*T2^18 + 610*T1^13*T2^18 - 656*T1^14*T2^18 + 
      370*T1^15*T2^18 - 100*T1^16*T2^18 - 254*T1^17*T2^18 + 316*T1^18*T2^18 - 
      270*T1^19*T2^18 + 84*T1^20*T2^18 - 30*T1^9*T2^19 + 115*T1^10*T2^19 - 
      185*T1^11*T2^19 + 210*T1^12*T2^19 - 105*T1^13*T2^19 - 50*T1^14*T2^19 + 
      245*T1^15*T2^19 - 350*T1^16*T2^19 + 375*T1^17*T2^19 - 270*T1^18*T2^19 + 
      145*T1^19*T2^19 - 35*T1^20*T2^19 + 7*T1^10*T2^20 - 35*T1^11*T2^20 + 
      84*T1^12*T2^20 - 147*T1^13*T2^20 + 196*T1^14*T2^20 - 217*T1^15*T2^20 + 
      196*T1^16*T2^20 - 147*T1^17*T2^20 + 84*T1^18*T2^20 - 35*T1^19*T2^20 + 
      7*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1211] -> 
  {-((1 - 6*T + 17*T^2 - 33*T^3 + 48*T^4 - 55*T^5 + 48*T^6 - 33*T^7 + 
      17*T^8 - 6*T^9 + T^10)/T^5), 
   -(((1 - 6*T1 + 17*T1^2 - 33*T1^3 + 48*T1^4 - 55*T1^5 + 48*T1^6 - 33*T1^7 + 
       17*T1^8 - 6*T1^9 + T1^10)*(1 + T1*T2)*(5 - 24*T1*T2 + 56*T1^2*T2^2 - 
       90*T1^3*T2^3 + 104*T1^4*T2^4 - 90*T1^5*T2^5 + 56*T1^6*T2^6 - 
       24*T1^7*T2^7 + 5*T1^8*T2^8)*(1 - 6*T2 + 17*T2^2 - 33*T2^3 + 48*T2^4 - 
       55*T2^5 + 48*T2^6 - 33*T2^7 + 17*T2^8 - 6*T2^9 + T2^10))/
     (T1^11*T2^10))}, Knot[12, Alternating, 1212] -> 
  {((1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + 
      T^4))/T^5, (-6 + 36*T1 - 96*T1^2 + 174*T1^3 - 246*T1^4 + 270*T1^5 - 
     246*T1^6 + 174*T1^7 - 96*T1^8 + 36*T1^9 - 6*T1^10 + 36*T2 - 186*T1*T2 + 
     396*T1^2*T2 - 564*T1^3*T2 + 606*T1^4*T2 - 390*T1^5*T2 + 126*T1^6*T2 + 
     186*T1^7*T2 - 294*T1^8*T2 + 264*T1^9*T2 - 144*T1^10*T2 + 30*T1^11*T2 - 
     96*T2^2 + 396*T1*T2^2 - 519*T1^2*T2^2 + 282*T1^3*T2^2 + 275*T1^4*T2^2 - 
     1228*T1^5*T2^2 + 1569*T1^6*T2^2 - 1740*T1^7*T2^2 + 1075*T1^8*T2^2 - 
     454*T1^9*T2^2 - 39*T1^10*T2^2 + 204*T1^11*T2^2 - 64*T1^12*T2^2 + 
     174*T2^3 - 564*T1*T2^3 + 282*T1^2*T2^3 + 447*T1^3*T2^3 - 
     1218*T1^4*T2^3 + 2163*T1^5*T2^3 - 1278*T1^6*T2^3 + 888*T1^7*T2^3 + 
     750*T1^8*T2^3 - 987*T1^9*T2^3 + 945*T1^10*T2^3 - 438*T1^11*T2^3 - 
     138*T1^12*T2^3 + 87*T1^13*T2^3 - 246*T2^4 + 606*T1*T2^4 + 
     275*T1^2*T2^4 - 1218*T1^3*T2^4 + 1833*T1^4*T2^4 - 2680*T1^5*T2^4 + 
     686*T1^6*T2^4 - 1109*T1^7*T2^4 - 782*T1^8*T2^4 - 376*T1^9*T2^4 + 
     389*T1^10*T2^4 - 754*T1^11*T2^4 + 811*T1^12*T2^4 - 30*T1^13*T2^4 - 
     82*T1^14*T2^4 + 270*T2^5 - 390*T1*T2^5 - 1228*T1^2*T2^5 + 
     2163*T1^3*T2^5 - 2680*T1^4*T2^5 + 3581*T1^5*T2^5 - 645*T1^6*T2^5 + 
     2301*T1^7*T2^5 + 670*T1^8*T2^5 + 1318*T1^9*T2^5 + 125*T1^10*T2^5 + 
     27*T1^11*T2^5 + 128*T1^12*T2^5 - 864*T1^13*T2^5 + 222*T1^14*T2^5 + 
     45*T1^15*T2^5 - 246*T2^6 + 126*T1*T2^6 + 1569*T1^2*T2^6 - 
     1278*T1^3*T2^6 + 686*T1^4*T2^6 - 645*T1^5*T2^6 - 3398*T1^6*T2^6 + 
     415*T1^7*T2^6 - 4304*T1^8*T2^6 + 765*T1^9*T2^6 - 2878*T1^10*T2^6 + 
     1309*T1^11*T2^6 - 868*T1^12*T2^6 + 996*T1^13*T2^6 + 337*T1^14*T2^6 - 
     270*T1^15*T2^6 + 174*T2^7 + 186*T1*T2^7 - 1740*T1^2*T2^7 + 
     888*T1^3*T2^7 - 1109*T1^4*T2^7 + 2301*T1^5*T2^7 + 415*T1^6*T2^7 + 
     4274*T1^7*T2^7 + 824*T1^8*T2^7 + 2762*T1^9*T2^7 + 1084*T1^10*T2^7 + 
     657*T1^11*T2^7 - 352*T1^12*T2^7 + T1^13*T2^7 - 1134*T1^14*T2^7 + 
     232*T1^15*T2^7 + 174*T1^16*T2^7 - 29*T1^17*T2^7 - 96*T2^8 - 
     294*T1*T2^8 + 1075*T1^2*T2^8 + 750*T1^3*T2^8 - 782*T1^4*T2^8 + 
     670*T1^5*T2^8 - 4304*T1^6*T2^8 + 824*T1^7*T2^8 - 7157*T1^8*T2^8 + 
     2829*T1^9*T2^8 - 5409*T1^10*T2^8 + 1786*T1^11*T2^8 - 1106*T1^12*T2^8 + 
     768*T1^13*T2^8 + 514*T1^14*T2^8 + 608*T1^15*T2^8 - 517*T1^16*T2^8 - 
     18*T1^17*T2^8 + 32*T1^18*T2^8 + 36*T2^9 + 264*T1*T2^9 - 454*T1^2*T2^9 - 
     987*T1^3*T2^9 - 376*T1^4*T2^9 + 1318*T1^5*T2^9 + 765*T1^6*T2^9 + 
     2762*T1^7*T2^9 + 2829*T1^8*T2^9 + 1608*T1^9*T2^9 + 582*T1^10*T2^9 + 
     1522*T1^11*T2^9 - 1128*T1^12*T2^9 + 91*T1^13*T2^9 - 681*T1^14*T2^9 - 
     665*T1^15*T2^9 + 180*T1^16*T2^9 + 394*T1^17*T2^9 - 84*T1^18*T2^9 - 
     18*T1^19*T2^9 - 6*T2^10 - 144*T1*T2^10 - 39*T1^2*T2^10 + 
     945*T1^3*T2^10 + 389*T1^4*T2^10 + 125*T1^5*T2^10 - 2878*T1^6*T2^10 + 
     1084*T1^7*T2^10 - 5409*T1^8*T2^10 + 582*T1^9*T2^10 - 1056*T1^10*T2^10 - 
     178*T1^11*T2^10 + 693*T1^12*T2^10 + 716*T1^13*T2^10 + 422*T1^14*T2^10 + 
     591*T1^15*T2^10 + 201*T1^16*T2^10 - 589*T1^17*T2^10 - 71*T1^18*T2^10 + 
     84*T1^19*T2^10 + 4*T1^20*T2^10 + 30*T1*T2^11 + 204*T1^2*T2^11 - 
     438*T1^3*T2^11 - 754*T1^4*T2^11 + 27*T1^5*T2^11 + 1309*T1^6*T2^11 + 
     657*T1^7*T2^11 + 1786*T1^8*T2^11 + 1522*T1^9*T2^11 - 178*T1^10*T2^11 - 
     1204*T1^11*T2^11 + 215*T1^12*T2^11 - 2104*T1^13*T2^11 - 17*T1^14*T2^11 - 
     690*T1^15*T2^11 - 262*T1^16*T2^11 + 413*T1^17*T2^11 + 410*T1^18*T2^11 - 
     144*T1^19*T2^11 - 24*T1^20*T2^11 - 64*T1^2*T2^12 - 138*T1^3*T2^12 + 
     811*T1^4*T2^12 + 128*T1^5*T2^12 - 868*T1^6*T2^12 - 352*T1^7*T2^12 - 
     1106*T1^8*T2^12 - 1128*T1^9*T2^12 + 693*T1^10*T2^12 + 215*T1^11*T2^12 + 
     2441*T1^12*T2^12 - 166*T1^13*T2^12 + 2092*T1^14*T2^12 - 
     254*T1^15*T2^12 + 428*T1^16*T2^12 - 14*T1^17*T2^12 - 781*T1^18*T2^12 + 
     138*T1^19*T2^12 + 64*T1^20*T2^12 + 87*T1^3*T2^13 - 30*T1^4*T2^13 - 
     864*T1^5*T2^13 + 996*T1^6*T2^13 + T1^7*T2^13 + 768*T1^8*T2^13 + 
     91*T1^9*T2^13 + 716*T1^10*T2^13 - 2104*T1^11*T2^13 - 166*T1^12*T2^13 - 
     2474*T1^13*T2^13 + 333*T1^14*T2^13 - 1885*T1^15*T2^13 + 
     1111*T1^16*T2^13 - 1026*T1^17*T2^13 + 1108*T1^18*T2^13 - 
     42*T1^19*T2^13 - 116*T1^20*T2^13 - 82*T1^4*T2^14 + 222*T1^5*T2^14 + 
     337*T1^6*T2^14 - 1134*T1^7*T2^14 + 514*T1^8*T2^14 - 681*T1^9*T2^14 + 
     422*T1^10*T2^14 - 17*T1^11*T2^14 + 2092*T1^12*T2^14 + 333*T1^13*T2^14 + 
     942*T1^14*T2^14 + 1273*T1^15*T2^14 - 1040*T1^16*T2^14 + 
     1140*T1^17*T2^14 - 895*T1^18*T2^14 - 174*T1^19*T2^14 + 164*T1^20*T2^14 + 
     45*T1^5*T2^15 - 270*T1^6*T2^15 + 232*T1^7*T2^15 + 608*T1^8*T2^15 - 
     665*T1^9*T2^15 + 591*T1^10*T2^15 - 690*T1^11*T2^15 - 254*T1^12*T2^15 - 
     1885*T1^13*T2^15 + 1273*T1^14*T2^15 - 2865*T1^15*T2^15 + 
     2042*T1^16*T2^15 - 1427*T1^17*T2^15 + 596*T1^18*T2^15 + 
     342*T1^19*T2^15 - 180*T1^20*T2^15 + 174*T1^7*T2^16 - 517*T1^8*T2^16 + 
     180*T1^9*T2^16 + 201*T1^10*T2^16 - 262*T1^11*T2^16 + 428*T1^12*T2^16 + 
     1111*T1^13*T2^16 - 1040*T1^14*T2^16 + 2042*T1^15*T2^16 - 
     1243*T1^16*T2^16 + 644*T1^17*T2^16 + 19*T1^18*T2^16 - 462*T1^19*T2^16 + 
     164*T1^20*T2^16 - 29*T1^7*T2^17 - 18*T1^8*T2^17 + 394*T1^9*T2^17 - 
     589*T1^10*T2^17 + 413*T1^11*T2^17 - 14*T1^12*T2^17 - 1026*T1^13*T2^17 + 
     1140*T1^14*T2^17 - 1427*T1^15*T2^17 + 644*T1^16*T2^17 - 91*T1^17*T2^17 - 
     326*T1^18*T2^17 + 408*T1^19*T2^17 - 116*T1^20*T2^17 + 32*T1^8*T2^18 - 
     84*T1^9*T2^18 - 71*T1^10*T2^18 + 410*T1^11*T2^18 - 781*T1^12*T2^18 + 
     1108*T1^13*T2^18 - 895*T1^14*T2^18 + 596*T1^15*T2^18 + 19*T1^16*T2^18 - 
     326*T1^17*T2^18 + 409*T1^18*T2^18 - 276*T1^19*T2^18 + 64*T1^20*T2^18 - 
     18*T1^9*T2^19 + 84*T1^10*T2^19 - 144*T1^11*T2^19 + 138*T1^12*T2^19 - 
     42*T1^13*T2^19 - 174*T1^14*T2^19 + 342*T1^15*T2^19 - 462*T1^16*T2^19 + 
     408*T1^17*T2^19 - 276*T1^18*T2^19 + 126*T1^19*T2^19 - 24*T1^20*T2^19 + 
     4*T1^10*T2^20 - 24*T1^11*T2^20 + 64*T1^12*T2^20 - 116*T1^13*T2^20 + 
     164*T1^14*T2^20 - 180*T1^15*T2^20 + 164*T1^16*T2^20 - 116*T1^17*T2^20 + 
     64*T1^18*T2^20 - 24*T1^19*T2^20 + 4*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1213] -> 
  {((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^4, 
   (-33 + 198*T1 - 511*T1^2 + 840*T1^3 - 1005*T1^4 + 840*T1^5 - 511*T1^6 + 
     198*T1^7 - 33*T1^8 + 198*T2 - 1038*T1*T2 + 2166*T1^2*T2 - 2718*T1^3*T2 + 
     2214*T1^4*T2 - 474*T1^5*T2 - 750*T1^6*T2 + 1134*T1^7*T2 - 702*T1^8*T2 + 
     150*T1^9*T2 - 511*T2^2 + 2166*T1*T2^2 - 2778*T1^2*T2^2 + 666*T1^3*T2^2 + 
     3236*T1^4*T2^2 - 7670*T1^5*T2^2 + 6956*T1^6*T2^2 - 4170*T1^7*T2^2 + 
     818*T1^8*T2^2 + 678*T1^9*T2^2 - 263*T1^10*T2^2 + 840*T2^3 - 
     2718*T1*T2^3 + 666*T1^2*T2^3 + 5264*T1^3*T2^3 - 10344*T1^4*T2^3 + 
     12674*T1^5*T2^3 - 3898*T1^6*T2^3 - 2178*T1^7*T2^3 + 5486*T1^8*T2^3 - 
     3612*T1^9*T2^3 + 210*T1^10*T2^3 + 228*T1^11*T2^3 - 1005*T2^4 + 
     2214*T1*T2^4 + 3236*T1^2*T2^4 - 10344*T1^3*T2^4 + 11633*T1^4*T2^4 - 
     8382*T1^5*T2^4 - 7593*T1^6*T2^4 + 9306*T1^7*T2^4 - 7311*T1^8*T2^4 + 
     264*T1^9*T2^4 + 3676*T1^10*T2^4 - 1194*T1^11*T2^4 - 29*T1^12*T2^4 + 
     840*T2^5 - 474*T1*T2^5 - 7670*T1^2*T2^5 + 12674*T1^3*T2^5 - 
     8382*T1^4*T2^5 + 1735*T1^5*T2^5 + 14173*T1^6*T2^5 - 4757*T1^7*T2^5 - 
     1901*T1^8*T2^5 + 8913*T1^9*T2^5 - 7258*T1^10*T2^5 - 290*T1^11*T2^5 + 
     1254*T1^12*T2^5 - 180*T1^13*T2^5 - 511*T2^6 - 750*T1*T2^6 + 
     6956*T1^2*T2^6 - 3898*T1^3*T2^6 - 7593*T1^4*T2^6 + 14173*T1^5*T2^6 - 
     21655*T1^6*T2^6 - 311*T1^7*T2^6 + 7121*T1^8*T2^6 - 7865*T1^9*T2^6 - 
     71*T1^10*T2^6 + 7634*T1^11*T2^6 - 3324*T1^12*T2^6 - 318*T1^13*T2^6 + 
     233*T1^14*T2^6 + 198*T2^7 + 1134*T1*T2^7 - 4170*T1^2*T2^7 - 
     2178*T1^3*T2^7 + 9306*T1^4*T2^7 - 4757*T1^5*T2^7 - 311*T1^6*T2^7 + 
     21938*T1^7*T2^7 - 15196*T1^8*T2^7 + 1924*T1^9*T2^7 + 7957*T1^10*T2^7 - 
     9561*T1^11*T2^7 - 576*T1^12*T2^7 + 3456*T1^13*T2^7 - 570*T1^14*T2^7 - 
     138*T1^15*T2^7 - 33*T2^8 - 702*T1*T2^8 + 818*T1^2*T2^8 + 
     5486*T1^3*T2^8 - 7311*T1^4*T2^8 - 1901*T1^5*T2^8 + 7121*T1^6*T2^8 - 
     15196*T1^7*T2^8 - 1632*T1^8*T2^8 + 15620*T1^9*T2^8 - 12033*T1^10*T2^8 + 
     3985*T1^11*T2^8 + 7317*T1^12*T2^8 - 5086*T1^13*T2^8 - 870*T1^14*T2^8 + 
     642*T1^15*T2^8 + 31*T1^16*T2^8 + 150*T1*T2^9 + 678*T1^2*T2^9 - 
     3612*T1^3*T2^9 + 264*T1^4*T2^9 + 8913*T1^5*T2^9 - 7865*T1^6*T2^9 + 
     1924*T1^7*T2^9 + 15620*T1^8*T2^9 - 21514*T1^9*T2^9 + 4159*T1^10*T2^9 + 
     4849*T1^11*T2^9 - 9954*T1^12*T2^9 + 1866*T1^13*T2^9 + 4014*T1^14*T2^9 - 
     1026*T1^15*T2^9 - 186*T1^16*T2^9 - 263*T1^2*T2^10 + 210*T1^3*T2^10 + 
     3676*T1^4*T2^10 - 7258*T1^5*T2^10 - 71*T1^6*T2^10 + 7957*T1^7*T2^10 - 
     12033*T1^8*T2^10 + 4159*T1^9*T2^10 + 16743*T1^10*T2^10 - 
     14081*T1^11*T2^10 + 7451*T1^12*T2^10 + 4274*T1^13*T2^10 - 
     6604*T1^14*T2^10 + 642*T1^15*T2^10 + 481*T1^16*T2^10 + 228*T1^3*T2^11 - 
     1194*T1^4*T2^11 - 290*T1^5*T2^11 + 7634*T1^6*T2^11 - 9561*T1^7*T2^11 + 
     3985*T1^8*T2^11 + 4849*T1^9*T2^11 - 14081*T1^10*T2^11 + 
     349*T1^11*T2^11 + 7734*T1^12*T2^11 - 12298*T1^13*T2^11 + 
     7090*T1^14*T2^11 + 534*T1^15*T2^11 - 792*T1^16*T2^11 - 29*T1^4*T2^12 + 
     1254*T1^5*T2^12 - 3324*T1^6*T2^12 - 576*T1^7*T2^12 + 7317*T1^8*T2^12 - 
     9954*T1^9*T2^12 + 7451*T1^10*T2^12 + 7734*T1^11*T2^12 - 
     11627*T1^12*T2^12 + 10032*T1^13*T2^12 - 2884*T1^14*T2^12 - 
     2154*T1^15*T2^12 + 947*T1^16*T2^12 - 180*T1^5*T2^13 - 318*T1^6*T2^13 + 
     3456*T1^7*T2^13 - 5086*T1^8*T2^13 + 1866*T1^9*T2^13 + 4274*T1^10*T2^13 - 
     12298*T1^11*T2^13 + 10032*T1^12*T2^13 - 4864*T1^13*T2^13 - 
     822*T1^14*T2^13 + 2610*T1^15*T2^13 - 792*T1^16*T2^13 + 233*T1^6*T2^14 - 
     570*T1^7*T2^14 - 870*T1^8*T2^14 + 4014*T1^9*T2^14 - 6604*T1^10*T2^14 + 
     7090*T1^11*T2^14 - 2884*T1^12*T2^14 - 822*T1^13*T2^14 + 
     2726*T1^14*T2^14 - 2058*T1^15*T2^14 + 481*T1^16*T2^14 - 138*T1^7*T2^15 + 
     642*T1^8*T2^15 - 1026*T1^9*T2^15 + 642*T1^10*T2^15 + 534*T1^11*T2^15 - 
     2154*T1^12*T2^15 + 2610*T1^13*T2^15 - 2058*T1^14*T2^15 + 
     978*T1^15*T2^15 - 186*T1^16*T2^15 + 31*T1^8*T2^16 - 186*T1^9*T2^16 + 
     481*T1^10*T2^16 - 792*T1^11*T2^16 + 947*T1^12*T2^16 - 792*T1^13*T2^16 + 
     481*T1^14*T2^16 - 186*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1214] -> 
  {-(((1 - T + T^2)*(1 - T - T^2 - T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/
     T^5), -((-9 + 27*T1 - 36*T1^2 + 45*T1^3 - 54*T1^4 + 63*T1^5 - 54*T1^6 + 
      45*T1^7 - 36*T1^8 + 27*T1^9 - 9*T1^10 + 27*T2 - 57*T1*T2 + 36*T1^2*T2 - 
      39*T1^3*T2 + 42*T1^4*T2 - 45*T1^5*T2 - 6*T1^6*T2 + 9*T1^7*T2 - 
      12*T1^8*T2 + 15*T1^9*T2 - 45*T1^10*T2 + 24*T1^11*T2 - 36*T2^2 + 
      36*T1*T2^2 + 45*T1^2*T2^2 - 28*T1^3*T2^2 + 37*T1^4*T2^2 - 
      46*T1^5*T2^2 + 125*T1^6*T2^2 - 62*T1^7*T2^2 + 53*T1^8*T2^2 - 
      44*T1^9*T2^2 + 69*T1^10*T2^2 + 12*T1^11*T2^2 - 28*T1^12*T2^2 + 
      45*T2^3 - 39*T1*T2^3 - 28*T1^2*T2^3 - 53*T1^3*T2^3 + 31*T1^4*T2^3 - 
      34*T1^5*T2^3 - 47*T1^6*T2^3 - 56*T1^7*T2^3 - T1^8*T2^3 + 4*T1^9*T2^3 - 
      47*T1^10*T2^3 - 40*T1^11*T2^3 - 6*T1^12*T2^3 + 30*T1^13*T2^3 - 
      54*T2^4 + 42*T1*T2^4 + 37*T1^2*T2^4 + 31*T1^3*T2^4 + 57*T1^4*T2^4 - 
      49*T1^5*T2^4 + 160*T1^6*T2^4 - 51*T1^7*T2^4 + 148*T1^8*T2^4 - 
      85*T1^9*T2^4 + 117*T1^10*T2^4 + T1^11*T2^4 + 43*T1^12*T2^4 - 
      30*T1^14*T2^4 + 63*T2^5 - 45*T1*T2^5 - 46*T1^2*T2^5 - 34*T1^3*T2^5 - 
      49*T1^4*T2^5 - 15*T1^5*T2^5 - 108*T1^6*T2^5 - 39*T1^7*T2^5 - 
      58*T1^8*T2^5 - 49*T1^9*T2^5 - 41*T1^10*T2^5 - 75*T1^11*T2^5 + 
      5*T1^12*T2^5 - 44*T1^13*T2^5 + 6*T1^14*T2^5 + 28*T1^15*T2^5 - 54*T2^6 - 
      6*T1*T2^6 + 125*T1^2*T2^6 - 47*T1^3*T2^6 + 160*T1^4*T2^6 - 
      108*T1^5*T2^6 + 269*T1^6*T2^6 - 98*T1^7*T2^6 + 217*T1^8*T2^6 - 
      98*T1^9*T2^6 + 209*T1^10*T2^6 - 36*T1^11*T2^6 + 100*T1^12*T2^6 - 
      35*T1^13*T2^6 + 65*T1^14*T2^6 - 30*T1^15*T2^6 - 18*T1^16*T2^6 + 
      45*T2^7 + 9*T1*T2^7 - 62*T1^2*T2^7 - 56*T1^3*T2^7 - 51*T1^4*T2^7 - 
      39*T1^5*T2^7 - 98*T1^6*T2^7 - 77*T1^7*T2^7 - 77*T1^8*T2^7 - 
      46*T1^9*T2^7 - 83*T1^10*T2^7 - 74*T1^11*T2^7 - 40*T1^12*T2^7 - 
      27*T1^13*T2^7 - 19*T1^14*T2^7 - 16*T1^15*T2^7 + 24*T1^16*T2^7 + 
      10*T1^17*T2^7 - 36*T2^8 - 12*T1*T2^8 + 53*T1^2*T2^8 - T1^3*T2^8 + 
      148*T1^4*T2^8 - 58*T1^5*T2^8 + 217*T1^6*T2^8 - 77*T1^7*T2^8 + 
      217*T1^8*T2^8 - 61*T1^9*T2^8 + 185*T1^10*T2^8 - 31*T1^11*T2^8 + 
      119*T1^12*T2^8 - 12*T1^13*T2^8 + 64*T1^14*T2^8 - 19*T1^15*T2^8 + 
      7*T1^16*T2^8 - 18*T1^17*T2^8 - 4*T1^18*T2^8 + 27*T2^9 + 15*T1*T2^9 - 
      44*T1^2*T2^9 + 4*T1^3*T2^9 - 85*T1^4*T2^9 - 49*T1^5*T2^9 - 
      98*T1^6*T2^9 - 46*T1^7*T2^9 - 61*T1^8*T2^9 - 65*T1^9*T2^9 - 
      89*T1^10*T2^9 - 37*T1^11*T2^9 - 47*T1^12*T2^9 - 26*T1^13*T2^9 - 
      56*T1^14*T2^9 + T1^15*T2^9 + 13*T1^16*T2^9 + 12*T1^18*T2^9 - 9*T2^10 - 
      45*T1*T2^10 + 69*T1^2*T2^10 - 47*T1^3*T2^10 + 117*T1^4*T2^10 - 
      41*T1^5*T2^10 + 209*T1^6*T2^10 - 83*T1^7*T2^10 + 185*T1^8*T2^10 - 
      89*T1^9*T2^10 + 192*T1^10*T2^10 - 39*T1^11*T2^10 + 89*T1^12*T2^10 - 
      17*T1^13*T2^10 + 57*T1^14*T2^10 + 25*T1^15*T2^10 - 27*T1^16*T2^10 + 
      3*T1^17*T2^10 - 11*T1^18*T2^10 - 3*T1^19*T2^10 + T1^20*T2^10 + 
      24*T1*T2^11 + 12*T1^2*T2^11 - 40*T1^3*T2^11 + T1^4*T2^11 - 
      75*T1^5*T2^11 - 36*T1^6*T2^11 - 74*T1^7*T2^11 - 31*T1^8*T2^11 - 
      37*T1^9*T2^11 - 39*T1^10*T2^11 - 63*T1^11*T2^11 - 13*T1^12*T2^11 - 
      32*T1^13*T2^11 - 2*T1^14*T2^11 - 43*T1^15*T2^11 + 11*T1^16*T2^11 + 
      10*T1^17*T2^11 + 4*T1^18*T2^11 + 9*T1^19*T2^11 - 3*T1^20*T2^11 - 
      28*T1^2*T2^12 - 6*T1^3*T2^12 + 43*T1^4*T2^12 + 5*T1^5*T2^12 + 
      100*T1^6*T2^12 - 40*T1^7*T2^12 + 119*T1^8*T2^12 - 47*T1^9*T2^12 + 
      89*T1^10*T2^12 - 13*T1^11*T2^12 + 57*T1^12*T2^12 - T1^13*T2^12 + 
      21*T1^14*T2^12 + 6*T1^15*T2^12 + 16*T1^16*T2^12 - 13*T1^17*T2^12 - 
      3*T1^18*T2^12 - 12*T1^19*T2^12 + 4*T1^20*T2^12 + 30*T1^3*T2^13 - 
      44*T1^5*T2^13 - 35*T1^6*T2^13 - 27*T1^7*T2^13 - 12*T1^8*T2^13 - 
      26*T1^9*T2^13 - 17*T1^10*T2^13 - 32*T1^11*T2^13 - T1^12*T2^13 - 
      23*T1^13*T2^13 - 2*T1^14*T2^13 - 13*T1^15*T2^13 - 3*T1^16*T2^13 + 
      2*T1^17*T2^13 + 2*T1^18*T2^13 + 15*T1^19*T2^13 - 5*T1^20*T2^13 - 
      30*T1^4*T2^14 + 6*T1^5*T2^14 + 65*T1^6*T2^14 - 19*T1^7*T2^14 + 
      64*T1^8*T2^14 - 56*T1^9*T2^14 + 57*T1^10*T2^14 - 2*T1^11*T2^14 + 
      21*T1^12*T2^14 - 2*T1^13*T2^14 - 3*T1^14*T2^14 + 16*T1^15*T2^14 + 
      4*T1^16*T2^14 - 7*T1^17*T2^14 + 5*T1^18*T2^14 - 18*T1^19*T2^14 + 
      6*T1^20*T2^14 + 28*T1^5*T2^15 - 30*T1^6*T2^15 - 16*T1^7*T2^15 - 
      19*T1^8*T2^15 + T1^9*T2^15 + 25*T1^10*T2^15 - 43*T1^11*T2^15 + 
      6*T1^12*T2^15 - 13*T1^13*T2^15 + 16*T1^14*T2^15 - T1^15*T2^15 - 
      25*T1^16*T2^15 + 20*T1^17*T2^15 - 14*T1^18*T2^15 + 21*T1^19*T2^15 - 
      7*T1^20*T2^15 - 18*T1^6*T2^16 + 24*T1^7*T2^16 + 7*T1^8*T2^16 + 
      13*T1^9*T2^16 - 27*T1^10*T2^16 + 11*T1^11*T2^16 + 16*T1^12*T2^16 - 
      3*T1^13*T2^16 + 4*T1^14*T2^16 - 25*T1^15*T2^16 + 33*T1^16*T2^16 - 
      17*T1^17*T2^16 + 13*T1^18*T2^16 - 18*T1^19*T2^16 + 6*T1^20*T2^16 + 
      10*T1^7*T2^17 - 18*T1^8*T2^17 + 3*T1^10*T2^17 + 10*T1^11*T2^17 - 
      13*T1^12*T2^17 + 2*T1^13*T2^17 - 7*T1^14*T2^17 + 20*T1^15*T2^17 - 
      17*T1^16*T2^17 + 9*T1^17*T2^17 - 12*T1^18*T2^17 + 15*T1^19*T2^17 - 
      5*T1^20*T2^17 - 4*T1^8*T2^18 + 12*T1^9*T2^18 - 11*T1^10*T2^18 + 
      4*T1^11*T2^18 - 3*T1^12*T2^18 + 2*T1^13*T2^18 + 5*T1^14*T2^18 - 
      14*T1^15*T2^18 + 13*T1^16*T2^18 - 12*T1^17*T2^18 + 13*T1^18*T2^18 - 
      12*T1^19*T2^18 + 4*T1^20*T2^18 - 3*T1^10*T2^19 + 9*T1^11*T2^19 - 
      12*T1^12*T2^19 + 15*T1^13*T2^19 - 18*T1^14*T2^19 + 21*T1^15*T2^19 - 
      18*T1^16*T2^19 + 15*T1^17*T2^19 - 12*T1^18*T2^19 + 9*T1^19*T2^19 - 
      3*T1^20*T2^19 + T1^10*T2^20 - 3*T1^11*T2^20 + 4*T1^12*T2^20 - 
      5*T1^13*T2^20 + 6*T1^14*T2^20 - 7*T1^15*T2^20 + 6*T1^16*T2^20 - 
      5*T1^17*T2^20 + 4*T1^18*T2^20 - 3*T1^19*T2^20 + T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1215] -> 
  {-(((1 - T + T^2)^2*(1 - 2*T + 2*T^2 - 3*T^3 + 2*T^4 - 2*T^5 + T^6))/T^5), 
   -((-7 + 28*T1 - 63*T1^2 + 105*T1^3 - 133*T1^4 + 147*T1^5 - 133*T1^6 + 
      105*T1^7 - 63*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 88*T1*T2 + 
      156*T1^2*T2 - 204*T1^3*T2 + 172*T1^4*T2 - 132*T1^5*T2 + 28*T1^6*T2 + 
      36*T1^7*T2 - 108*T1^8*T2 + 104*T1^9*T2 - 68*T1^10*T2 + 24*T1^11*T2 - 
      63*T2^2 + 156*T1*T2^2 - 227*T1^2*T2^2 + 256*T1^3*T2^2 - 149*T1^4*T2^2 + 
      153*T1^5*T2^2 - 13*T1^6*T2^2 + 45*T1^7*T2^2 + 31*T1^8*T2^2 + 
      58*T1^9*T2^2 - 83*T1^10*T2^2 + 84*T1^11*T2^2 - 45*T1^12*T2^2 + 
      105*T2^3 - 204*T1*T2^3 + 256*T1^2*T2^3 - 273*T1^3*T2^3 + 
      102*T1^4*T2^3 - 228*T1^5*T2^3 - 29*T1^6*T2^3 - 119*T1^7*T2^3 - 
      102*T1^8*T2^3 - 69*T1^9*T2^3 - 21*T1^10*T2^3 + 31*T1^11*T2^3 - 
      60*T1^12*T2^3 + 60*T1^13*T2^3 - 133*T2^4 + 172*T1*T2^4 - 
      149*T1^2*T2^4 + 102*T1^3*T2^4 + 172*T1^4*T2^4 + 71*T1^5*T2^4 + 
      408*T1^6*T2^4 - 54*T1^7*T2^4 + 448*T1^8*T2^4 - 21*T1^9*T2^4 + 
      220*T1^10*T2^4 - 78*T1^11*T2^4 + 55*T1^12*T2^4 - 12*T1^13*T2^4 - 
      57*T1^14*T2^4 + 147*T2^5 - 132*T1*T2^5 + 153*T1^2*T2^5 - 
      228*T1^3*T2^5 + 71*T1^4*T2^5 - 548*T1^5*T2^5 - 142*T1^6*T2^5 - 
      445*T1^7*T2^5 - 277*T1^8*T2^5 - 307*T1^9*T2^5 - 242*T1^10*T2^5 - 
      31*T1^11*T2^5 - 30*T1^12*T2^5 - 15*T1^13*T2^5 + 60*T1^14*T2^5 + 
      42*T1^15*T2^5 - 133*T2^6 + 28*T1*T2^6 - 13*T1^2*T2^6 - 29*T1^3*T2^6 + 
      408*T1^4*T2^6 - 142*T1^5*T2^6 + 1259*T1^6*T2^6 - 505*T1^7*T2^6 + 
      1431*T1^8*T2^6 - 451*T1^9*T2^6 + 1019*T1^10*T2^6 - 250*T1^11*T2^6 + 
      270*T1^12*T2^6 - 83*T1^13*T2^6 + 11*T1^14*T2^6 - 92*T1^15*T2^6 - 
      19*T1^16*T2^6 + 105*T2^7 + 36*T1*T2^7 + 45*T1^2*T2^7 - 119*T1^3*T2^7 - 
      54*T1^4*T2^7 - 445*T1^5*T2^7 - 505*T1^6*T2^7 - 621*T1^7*T2^7 - 
      447*T1^8*T2^7 - 570*T1^9*T2^7 - 361*T1^10*T2^7 - 341*T1^11*T2^7 - 
      93*T1^12*T2^7 - 27*T1^13*T2^7 + 19*T1^14*T2^7 + 53*T1^15*T2^7 + 
      76*T1^16*T2^7 - 63*T2^8 - 108*T1*T2^8 + 31*T1^2*T2^8 - 102*T1^3*T2^8 + 
      448*T1^4*T2^8 - 277*T1^5*T2^8 + 1431*T1^6*T2^8 - 447*T1^7*T2^8 + 
      1701*T1^8*T2^8 - 625*T1^9*T2^8 + 1377*T1^10*T2^8 - 375*T1^11*T2^8 + 
      621*T1^12*T2^8 - 169*T1^13*T2^8 + 52*T1^14*T2^8 - 48*T1^15*T2^8 - 
      77*T1^16*T2^8 - 36*T1^17*T2^8 + 9*T1^18*T2^8 + 28*T2^9 + 104*T1*T2^9 + 
      58*T1^2*T2^9 - 69*T1^3*T2^9 - 21*T1^4*T2^9 - 307*T1^5*T2^9 - 
      451*T1^6*T2^9 - 570*T1^7*T2^9 - 625*T1^8*T2^9 - 347*T1^9*T2^9 - 
      353*T1^10*T2^9 - 358*T1^11*T2^9 - 57*T1^12*T2^9 - 175*T1^13*T2^9 + 
      86*T1^14*T2^9 + 21*T1^15*T2^9 + 48*T1^16*T2^9 + 67*T1^17*T2^9 - 
      4*T1^18*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 - 83*T1^2*T2^10 - 
      21*T1^3*T2^10 + 220*T1^4*T2^10 - 242*T1^5*T2^10 + 1019*T1^6*T2^10 - 
      361*T1^7*T2^10 + 1377*T1^8*T2^10 - 353*T1^9*T2^10 + 660*T1^10*T2^10 - 
      47*T1^11*T2^10 + 215*T1^12*T2^10 - 27*T1^13*T2^10 + 31*T1^14*T2^10 - 
      98*T1^15*T2^10 - 14*T1^16*T2^10 - 63*T1^17*T2^10 - 19*T1^18*T2^10 + 
      20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 84*T1^2*T2^11 + 
      31*T1^3*T2^11 - 78*T1^4*T2^11 - 31*T1^5*T2^11 - 250*T1^6*T2^11 - 
      341*T1^7*T2^11 - 375*T1^8*T2^11 - 358*T1^9*T2^11 - 47*T1^10*T2^11 - 
      53*T1^11*T2^11 - 91*T1^12*T2^11 + 138*T1^13*T2^11 - 65*T1^14*T2^11 + 
      143*T1^15*T2^11 + 11*T1^16*T2^11 + 39*T1^17*T2^11 + 40*T1^18*T2^11 - 
      24*T1^19*T2^11 - 12*T1^20*T2^11 - 45*T1^2*T2^12 - 60*T1^3*T2^12 + 
      55*T1^4*T2^12 - 30*T1^5*T2^12 + 270*T1^6*T2^12 - 93*T1^7*T2^12 + 
      621*T1^8*T2^12 - 57*T1^9*T2^12 + 215*T1^10*T2^12 - 91*T1^11*T2^12 - 
      109*T1^12*T2^12 + 15*T1^13*T2^12 - 189*T1^14*T2^12 + 15*T1^15*T2^12 - 
      126*T1^16*T2^12 + 24*T1^17*T2^12 - 53*T1^18*T2^12 + 12*T1^19*T2^12 + 
      27*T1^20*T2^12 + 60*T1^3*T2^13 - 12*T1^4*T2^13 - 15*T1^5*T2^13 - 
      83*T1^6*T2^13 - 27*T1^7*T2^13 - 169*T1^8*T2^13 - 175*T1^9*T2^13 - 
      27*T1^10*T2^13 + 138*T1^11*T2^13 + 15*T1^12*T2^13 + 233*T1^13*T2^13 - 
      11*T1^14*T2^13 + 183*T1^15*T2^13 + 55*T1^17*T2^13 - 7*T1^18*T2^13 + 
      28*T1^19*T2^13 - 45*T1^20*T2^13 - 57*T1^4*T2^14 + 60*T1^5*T2^14 + 
      11*T1^6*T2^14 + 19*T1^7*T2^14 + 52*T1^8*T2^14 + 86*T1^9*T2^14 + 
      31*T1^10*T2^14 - 65*T1^11*T2^14 - 189*T1^12*T2^14 - 11*T1^13*T2^14 - 
      209*T1^14*T2^14 - 22*T1^15*T2^14 - 86*T1^16*T2^14 - 35*T1^17*T2^14 + 
      35*T1^18*T2^14 - 60*T1^19*T2^14 + 57*T1^20*T2^14 + 42*T1^5*T2^15 - 
      92*T1^6*T2^15 + 53*T1^7*T2^15 - 48*T1^8*T2^15 + 21*T1^9*T2^15 - 
      98*T1^10*T2^15 + 143*T1^11*T2^15 + 15*T1^12*T2^15 + 183*T1^13*T2^15 - 
      22*T1^14*T2^15 + 208*T1^15*T2^15 - 81*T1^16*T2^15 + 150*T1^17*T2^15 - 
      115*T1^18*T2^15 + 100*T1^19*T2^15 - 63*T1^20*T2^15 - 19*T1^6*T2^16 + 
      76*T1^7*T2^16 - 77*T1^8*T2^16 + 48*T1^9*T2^16 - 14*T1^10*T2^16 + 
      11*T1^11*T2^16 - 126*T1^12*T2^16 - 86*T1^14*T2^16 - 81*T1^15*T2^16 + 
      34*T1^16*T2^16 - 132*T1^17*T2^16 + 127*T1^18*T2^16 - 108*T1^19*T2^16 + 
      57*T1^20*T2^16 - 36*T1^8*T2^17 + 67*T1^9*T2^17 - 63*T1^10*T2^17 + 
      39*T1^11*T2^17 + 24*T1^12*T2^17 + 55*T1^13*T2^17 - 35*T1^14*T2^17 + 
      150*T1^15*T2^17 - 132*T1^16*T2^17 + 189*T1^17*T2^17 - 158*T1^18*T2^17 + 
      108*T1^19*T2^17 - 45*T1^20*T2^17 + 9*T1^8*T2^18 - 4*T1^9*T2^18 - 
      19*T1^10*T2^18 + 40*T1^11*T2^18 - 53*T1^12*T2^18 - 7*T1^13*T2^18 + 
      35*T1^14*T2^18 - 115*T1^15*T2^18 + 127*T1^16*T2^18 - 158*T1^17*T2^18 + 
      125*T1^18*T2^18 - 76*T1^19*T2^18 + 27*T1^20*T2^18 - 8*T1^9*T2^19 + 
      20*T1^10*T2^19 - 24*T1^11*T2^19 + 12*T1^12*T2^19 + 28*T1^13*T2^19 - 
      60*T1^14*T2^19 + 100*T1^15*T2^19 - 108*T1^16*T2^19 + 108*T1^17*T2^19 - 
      76*T1^18*T2^19 + 40*T1^19*T2^19 - 12*T1^20*T2^19 + 3*T1^10*T2^20 - 
      12*T1^11*T2^20 + 27*T1^12*T2^20 - 45*T1^13*T2^20 + 57*T1^14*T2^20 - 
      63*T1^15*T2^20 + 57*T1^16*T2^20 - 45*T1^17*T2^20 + 27*T1^18*T2^20 - 
      12*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1216] -> 
  {-((2 - 11*T + 25*T^2 - 35*T^3 + 37*T^4 - 35*T^5 + 25*T^6 - 11*T^7 + 2*T^8)/
     T^4), -((-25 + 137*T1 - 311*T1^2 + 437*T1^3 - 463*T1^4 + 437*T1^5 - 
      311*T1^6 + 137*T1^7 - 25*T1^8 + 137*T2 - 658*T1*T2 + 1196*T1^2*T2 - 
      1240*T1^3*T2 + 912*T1^4*T2 - 672*T1^5*T2 + 80*T1^6*T2 + 404*T1^7*T2 - 
      372*T1^8*T2 + 93*T1^9*T2 - 311*T2^2 + 1196*T1*T2^2 - 1199*T1^2*T2^2 - 
      253*T1^3*T2^2 + 1695*T1^4*T2^2 - 1959*T1^5*T2^2 + 2895*T1^6*T2^2 - 
      2653*T1^7*T2^2 + 1101*T1^8*T2^2 + 96*T1^9*T2^2 - 111*T1^10*T2^2 + 
      437*T2^3 - 1240*T1*T2^3 - 253*T1^2*T2^3 + 3267*T1^3*T2^3 - 
      4447*T1^4*T2^3 + 3231*T1^5*T2^3 - 3969*T1^6*T2^3 + 1973*T1^7*T2^3 + 
      1137*T1^8*T2^3 - 1928*T1^9*T2^3 + 520*T1^10*T2^3 + 17*T1^11*T2^3 - 
      463*T2^4 + 912*T1*T2^4 + 1695*T1^2*T2^4 - 4447*T1^3*T2^4 + 
      3530*T1^4*T2^4 - 612*T1^5*T2^4 + 1812*T1^6*T2^4 + 1524*T1^7*T2^4 - 
      4590*T1^8*T2^4 + 2903*T1^9*T2^4 + 625*T1^10*T2^4 - 804*T1^11*T2^4 + 
      129*T1^12*T2^4 + 437*T2^5 - 672*T1*T2^5 - 1959*T1^2*T2^5 + 
      3231*T1^3*T2^5 - 612*T1^4*T2^5 - 2136*T1^5*T2^5 - 736*T1^6*T2^5 - 
      3076*T1^7*T2^5 + 4706*T1^8*T2^5 + 115*T1^9*T2^5 - 3669*T1^10*T2^5 + 
      972*T1^11*T2^5 + 736*T1^12*T2^5 - 263*T1^13*T2^5 - 311*T2^6 + 
      80*T1*T2^6 + 2895*T1^2*T2^6 - 3969*T1^3*T2^6 + 1812*T1^4*T2^6 - 
      736*T1^5*T2^6 + 3939*T1^6*T2^6 + 2277*T1^7*T2^6 - 3921*T1^8*T2^6 - 
      1736*T1^9*T2^6 + 1562*T1^10*T2^6 + 3681*T1^11*T2^6 - 2845*T1^12*T2^6 - 
      140*T1^13*T2^6 + 289*T1^14*T2^6 + 137*T2^7 + 404*T1*T2^7 - 
      2653*T1^2*T2^7 + 1973*T1^3*T2^7 + 1524*T1^4*T2^7 - 3076*T1^5*T2^7 + 
      2277*T1^6*T2^7 - 9469*T1^7*T2^7 + 7293*T1^8*T2^7 + 1002*T1^9*T2^7 + 
      1944*T1^10*T2^7 - 4839*T1^11*T2^7 - 727*T1^12*T2^7 + 3372*T1^13*T2^7 - 
      652*T1^14*T2^7 - 171*T1^15*T2^7 - 25*T2^8 - 372*T1*T2^8 + 
      1101*T1^2*T2^8 + 1137*T1^3*T2^8 - 4590*T1^4*T2^8 + 4706*T1^5*T2^8 - 
      3921*T1^6*T2^8 + 7293*T1^7*T2^8 - 480*T1^8*T2^8 - 6961*T1^9*T2^8 + 
      169*T1^10*T2^8 - 702*T1^11*T2^8 + 6734*T1^12*T2^8 - 4433*T1^13*T2^8 - 
      1085*T1^14*T2^8 + 728*T1^15*T2^8 + 39*T1^16*T2^8 + 93*T1*T2^9 + 
      96*T1^2*T2^9 - 1928*T1^3*T2^9 + 2903*T1^4*T2^9 + 115*T1^5*T2^9 - 
      1736*T1^6*T2^9 + 1002*T1^7*T2^9 - 6961*T1^8*T2^9 + 9801*T1^9*T2^9 - 
      273*T1^10*T2^9 + 3284*T1^11*T2^9 - 6248*T1^12*T2^9 + 203*T1^13*T2^9 + 
      4097*T1^14*T2^9 - 960*T1^15*T2^9 - 215*T1^16*T2^9 - 111*T1^2*T2^10 + 
      520*T1^3*T2^10 + 625*T1^4*T2^10 - 3669*T1^5*T2^10 + 1562*T1^6*T2^10 + 
      1944*T1^7*T2^10 + 169*T1^8*T2^10 - 273*T1^9*T2^10 - 7691*T1^10*T2^10 + 
      944*T1^11*T2^10 + 1312*T1^12*T2^10 + 3981*T1^13*T2^10 - 
      5115*T1^14*T2^10 + 300*T1^15*T2^10 + 489*T1^16*T2^10 + 17*T1^3*T2^11 - 
      804*T1^4*T2^11 + 972*T1^5*T2^11 + 3681*T1^6*T2^11 - 4839*T1^7*T2^11 - 
      702*T1^8*T2^11 + 3284*T1^9*T2^11 + 944*T1^10*T2^11 + 6140*T1^11*T2^11 - 
      4112*T1^12*T2^11 - 3219*T1^13*T2^11 + 3903*T1^14*T2^11 + 
      604*T1^15*T2^11 - 683*T1^16*T2^11 + 129*T1^4*T2^12 + 736*T1^5*T2^12 - 
      2845*T1^6*T2^12 - 727*T1^7*T2^12 + 6734*T1^8*T2^12 - 6248*T1^9*T2^12 + 
      1312*T1^10*T2^12 - 4112*T1^11*T2^12 - 1386*T1^12*T2^12 + 
      6623*T1^13*T2^12 - 3915*T1^14*T2^12 - 980*T1^15*T2^12 + 
      721*T1^16*T2^12 - 263*T1^5*T2^13 - 140*T1^6*T2^13 + 3372*T1^7*T2^13 - 
      4433*T1^8*T2^13 + 203*T1^9*T2^13 + 3981*T1^10*T2^13 - 
      3219*T1^11*T2^13 + 6623*T1^12*T2^13 - 6563*T1^13*T2^13 + 
      1697*T1^14*T2^13 + 1620*T1^15*T2^13 - 683*T1^16*T2^13 + 
      289*T1^6*T2^14 - 652*T1^7*T2^14 - 1085*T1^8*T2^14 + 4097*T1^9*T2^14 - 
      5115*T1^10*T2^14 + 3903*T1^11*T2^14 - 3915*T1^12*T2^14 + 
      1697*T1^13*T2^14 + 1215*T1^14*T2^14 - 1752*T1^15*T2^14 + 
      489*T1^16*T2^14 - 171*T1^7*T2^15 + 728*T1^8*T2^15 - 960*T1^9*T2^15 + 
      300*T1^10*T2^15 + 604*T1^11*T2^15 - 980*T1^12*T2^15 + 
      1620*T1^13*T2^15 - 1752*T1^14*T2^15 + 1014*T1^15*T2^15 - 
      215*T1^16*T2^15 + 39*T1^8*T2^16 - 215*T1^9*T2^16 + 489*T1^10*T2^16 - 
      683*T1^11*T2^16 + 721*T1^12*T2^16 - 683*T1^13*T2^16 + 489*T1^14*T2^16 - 
      215*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1217] -> 
  {-((4 - 23*T + 55*T^2 - 73*T^3 + 55*T^4 - 23*T^5 + 4*T^6)/T^3), 
   -((-192 + 1100*T1 - 2628*T1^2 + 3488*T1^3 - 2628*T1^4 + 1100*T1^5 - 
      192*T1^6 + 1100*T2 - 5574*T1*T2 + 10880*T1^2*T2 - 9992*T1^3*T2 + 
      1784*T1^4*T2 + 3704*T1^5*T2 - 3090*T1^6*T2 + 732*T1^7*T2 - 2628*T2^2 + 
      10880*T1*T2^2 - 12879*T1^2*T2^2 - 4602*T1^3*T2^2 + 28301*T1^4*T2^2 - 
      26602*T1^5*T2^2 + 9561*T1^6*T2^2 + 760*T1^7*T2^2 - 868*T1^8*T2^2 + 
      3488*T2^3 - 9992*T1*T2^3 - 4602*T1^2*T2^3 + 45257*T1^3*T2^3 - 
      66465*T1^4*T2^3 + 27127*T1^5*T2^3 + 14039*T1^6*T2^3 - 18627*T1^7*T2^3 + 
      5096*T1^8*T2^3 - 16*T1^9*T2^3 - 2628*T2^4 + 1784*T1*T2^4 + 
      28301*T1^2*T2^4 - 66465*T1^3*T2^4 + 44659*T1^4*T2^4 + 43887*T1^5*T2^4 - 
      78361*T1^6*T2^4 + 40553*T1^7*T2^4 - 533*T1^8*T2^4 - 5024*T1^9*T2^4 + 
      892*T1^10*T2^4 + 1100*T2^5 + 3704*T1*T2^5 - 26602*T1^2*T2^5 + 
      27127*T1^3*T2^5 + 43887*T1^4*T2^5 - 130618*T1^5*T2^5 + 
      99712*T1^6*T2^5 - 2368*T1^7*T2^5 - 39613*T1^8*T2^5 + 19323*T1^9*T2^5 - 
      896*T1^10*T2^5 - 740*T1^11*T2^5 - 192*T2^6 - 3090*T1*T2^6 + 
      9561*T1^2*T2^6 + 14039*T1^3*T2^6 - 78361*T1^4*T2^6 + 99712*T1^5*T2^6 - 
      2772*T1^6*T2^6 - 97080*T1^7*T2^6 + 81001*T1^8*T2^6 - 15739*T1^9*T2^6 - 
      9627*T1^10*T2^6 + 3166*T1^11*T2^6 + 192*T1^12*T2^6 + 732*T1*T2^7 + 
      760*T1^2*T2^7 - 18627*T1^3*T2^7 + 40553*T1^4*T2^7 - 2368*T1^5*T2^7 - 
      97080*T1^6*T2^7 + 133250*T1^7*T2^7 - 48623*T1^8*T2^7 - 
      26187*T1^9*T2^7 + 27298*T1^10*T2^7 - 3840*T1^11*T2^7 - 
      1108*T1^12*T2^7 - 868*T1^2*T2^8 + 5096*T1^3*T2^8 - 533*T1^4*T2^8 - 
      39613*T1^5*T2^8 + 81001*T1^6*T2^8 - 48623*T1^7*T2^8 - 42019*T1^8*T2^8 + 
      67405*T1^9*T2^8 - 29367*T1^10*T2^8 - 1712*T1^11*T2^8 + 
      2652*T1^12*T2^8 - 16*T1^3*T2^9 - 5024*T1^4*T2^9 + 19323*T1^5*T2^9 - 
      15739*T1^6*T2^9 - 26187*T1^7*T2^9 + 67405*T1^8*T2^9 - 46957*T1^9*T2^9 + 
      5298*T1^10*T2^9 + 10064*T1^11*T2^9 - 3520*T1^12*T2^9 + 892*T1^4*T2^10 - 
      896*T1^5*T2^10 - 9627*T1^6*T2^10 + 27298*T1^7*T2^10 - 
      29367*T1^8*T2^10 + 5298*T1^9*T2^10 + 12813*T1^10*T2^10 - 
      11016*T1^11*T2^10 + 2652*T1^12*T2^10 - 740*T1^5*T2^11 + 
      3166*T1^6*T2^11 - 3840*T1^7*T2^11 - 1712*T1^8*T2^11 + 
      10064*T1^9*T2^11 - 11016*T1^10*T2^11 + 5650*T1^11*T2^11 - 
      1108*T1^12*T2^11 + 192*T1^6*T2^12 - 1108*T1^7*T2^12 + 2652*T1^8*T2^12 - 
      3520*T1^9*T2^12 + 2652*T1^10*T2^12 - 1108*T1^11*T2^12 + 
      192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1218] -> 
  {-((1 - 4*T + 8*T^2 - 13*T^3 + 18*T^4 - 21*T^5 + 18*T^6 - 13*T^7 + 8*T^8 - 
      4*T^9 + T^10)/T^5), 
   -(((1 - 4*T1 + 8*T1^2 - 13*T1^3 + 18*T1^4 - 21*T1^5 + 18*T1^6 - 13*T1^7 + 
       8*T1^8 - 4*T1^9 + T1^10)*(1 + T1*T2)*(5 - 16*T1*T2 + 29*T1^2*T2^2 - 
       42*T1^3*T2^3 + 47*T1^4*T2^4 - 42*T1^5*T2^5 + 29*T1^6*T2^6 - 
       16*T1^7*T2^7 + 5*T1^8*T2^8)*(1 - 4*T2 + 8*T2^2 - 13*T2^3 + 18*T2^4 - 
       21*T2^5 + 18*T2^6 - 13*T2^7 + 8*T2^8 - 4*T2^9 + T2^10))/
     (T1^11*T2^10))}, Knot[12, Alternating, 1219] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 7*T^3 + 9*T^4 - 7*T^5 + 5*T^6 - 3*T^7 + 
      T^8))/T^5, (-4 + 16*T1 - 36*T1^2 + 60*T1^3 - 84*T1^4 + 92*T1^5 - 
     84*T1^6 + 60*T1^7 - 36*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 
     96*T1^2*T2 - 132*T1^3*T2 + 156*T1^4*T2 - 116*T1^5*T2 + 60*T1^6*T2 + 
     12*T1^7*T2 - 36*T1^8*T2 + 44*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 
     36*T2^2 + 96*T1*T2^2 - 151*T1^2*T2^2 + 183*T1^3*T2^2 - 205*T1^4*T2^2 + 
     103*T1^5*T2^2 - 47*T1^6*T2^2 - 41*T1^7*T2^2 + 11*T1^8*T2^2 - 
     15*T1^9*T2^2 - 7*T1^10*T2^2 + 24*T1^11*T2^2 - 18*T1^12*T2^2 + 60*T2^3 - 
     132*T1*T2^3 + 183*T1^2*T2^3 - 207*T1^3*T2^3 + 241*T1^4*T2^3 - 
     78*T1^5*T2^3 + 77*T1^6*T2^3 + 41*T1^7*T2^3 + 66*T1^8*T2^3 - 
     20*T1^9*T2^3 + 45*T1^10*T2^3 - 42*T1^11*T2^3 + 12*T1^12*T2^3 + 
     15*T1^13*T2^3 - 84*T2^4 + 156*T1*T2^4 - 205*T1^2*T2^4 + 241*T1^3*T2^4 - 
     315*T1^4*T2^4 + 96*T1^5*T2^4 - 168*T1^6*T2^4 - 47*T1^7*T2^4 - 
     120*T1^8*T2^4 - 60*T1^9*T2^4 + 45*T1^10*T2^4 - 59*T1^11*T2^4 + 
     71*T1^12*T2^4 - 60*T1^13*T2^4 + 92*T2^5 - 116*T1*T2^5 + 103*T1^2*T2^5 - 
     78*T1^3*T2^5 + 96*T1^4*T2^5 + 254*T1^5*T2^5 - 110*T1^6*T2^5 + 
     368*T1^7*T2^5 - 4*T1^8*T2^5 + 219*T1^9*T2^5 - 46*T1^10*T2^5 - 
     42*T1^11*T2^5 + 54*T1^12*T2^5 - 59*T1^13*T2^5 + 92*T1^14*T2^5 - 
     23*T1^15*T2^5 - 84*T2^6 + 60*T1*T2^6 - 47*T1^2*T2^6 + 77*T1^3*T2^6 - 
     168*T1^4*T2^6 - 110*T1^5*T2^6 - 266*T1^6*T2^6 + 30*T1^7*T2^6 - 
     466*T1^8*T2^6 + 36*T1^9*T2^6 - 202*T1^10*T2^6 + 194*T1^11*T2^6 - 
     18*T1^12*T2^6 - 13*T1^13*T2^6 - 7*T1^14*T2^6 - 76*T1^15*T2^6 + 
     42*T1^16*T2^6 + 60*T2^7 + 12*T1*T2^7 - 41*T1^2*T2^7 + 41*T1^3*T2^7 - 
     47*T1^4*T2^7 + 368*T1^5*T2^7 + 30*T1^6*T2^7 + 301*T1^7*T2^7 + 
     109*T1^8*T2^7 + 328*T1^9*T2^7 + 13*T1^10*T2^7 - 60*T1^11*T2^7 - 
     196*T1^12*T2^7 + 34*T1^13*T2^7 + 5*T1^14*T2^7 + 73*T1^15*T2^7 + 
     12*T1^16*T2^7 - 45*T1^17*T2^7 - 36*T2^8 - 36*T1*T2^8 + 11*T1^2*T2^8 + 
     66*T1^3*T2^8 - 120*T1^4*T2^8 - 4*T1^5*T2^8 - 466*T1^6*T2^8 + 
     109*T1^7*T2^8 - 373*T1^8*T2^8 - 41*T1^9*T2^8 - 205*T1^10*T2^8 + 
     145*T1^11*T2^8 + 296*T1^12*T2^8 + 80*T1^13*T2^8 + 36*T1^14*T2^8 - 
     108*T1^15*T2^8 - 25*T1^16*T2^8 + 36*T1^17*T2^8 + 36*T1^18*T2^8 + 
     16*T2^9 + 44*T1*T2^9 - 15*T1^2*T2^9 - 20*T1^3*T2^9 - 60*T1^4*T2^9 + 
     219*T1^5*T2^9 + 36*T1^6*T2^9 + 328*T1^7*T2^9 - 41*T1^8*T2^9 - 
     27*T1^9*T2^9 + 309*T1^10*T2^9 - 356*T1^11*T2^9 - 257*T1^12*T2^9 - 
     258*T1^13*T2^9 - 210*T1^14*T2^9 + 186*T1^15*T2^9 + 7*T1^16*T2^9 - 
     6*T1^17*T2^9 - 64*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 
     7*T1^2*T2^10 + 45*T1^3*T2^10 + 45*T1^4*T2^10 - 46*T1^5*T2^10 - 
     202*T1^6*T2^10 + 13*T1^7*T2^10 - 205*T1^8*T2^10 + 309*T1^9*T2^10 + 
     120*T1^10*T2^10 - 309*T1^11*T2^10 + 1169*T1^12*T2^10 - 329*T1^13*T2^10 + 
     826*T1^14*T2^10 - 306*T1^15*T2^10 - 9*T1^16*T2^10 + 3*T1^17*T2^10 + 
     57*T1^18*T2^10 + 56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 
     24*T1^2*T2^11 - 42*T1^3*T2^11 - 59*T1^4*T2^11 - 42*T1^5*T2^11 + 
     194*T1^6*T2^11 - 60*T1^7*T2^11 + 145*T1^8*T2^11 - 356*T1^9*T2^11 - 
     309*T1^10*T2^11 + 27*T1^11*T2^11 - 671*T1^12*T2^11 - 440*T1^13*T2^11 - 
     354*T1^14*T2^11 - 235*T1^15*T2^11 + 204*T1^16*T2^11 - 32*T1^17*T2^11 - 
     33*T1^18*T2^11 - 84*T1^19*T2^11 - 24*T1^20*T2^11 - 18*T1^2*T2^12 + 
     12*T1^3*T2^12 + 71*T1^4*T2^12 + 54*T1^5*T2^12 - 18*T1^6*T2^12 - 
     196*T1^7*T2^12 + 296*T1^8*T2^12 - 257*T1^9*T2^12 + 1169*T1^10*T2^12 - 
     671*T1^11*T2^12 + 1337*T1^12*T2^12 - 221*T1^13*T2^12 + 
     1058*T1^14*T2^12 - 112*T1^15*T2^12 + 138*T1^16*T2^12 - 120*T1^17*T2^12 + 
     35*T1^18*T2^12 + 84*T1^19*T2^12 + 54*T1^20*T2^12 + 15*T1^3*T2^13 - 
     60*T1^4*T2^13 - 59*T1^5*T2^13 - 13*T1^6*T2^13 + 34*T1^7*T2^13 + 
     80*T1^8*T2^13 - 258*T1^9*T2^13 - 329*T1^10*T2^13 - 440*T1^11*T2^13 - 
     221*T1^12*T2^13 - 617*T1^13*T2^13 - 348*T1^14*T2^13 - 484*T1^15*T2^13 + 
     115*T1^16*T2^13 - 49*T1^17*T2^13 + 55*T1^18*T2^13 - 60*T1^19*T2^13 - 
     90*T1^20*T2^13 + 92*T1^5*T2^14 - 7*T1^6*T2^14 + 5*T1^7*T2^14 + 
     36*T1^8*T2^14 - 210*T1^9*T2^14 + 826*T1^10*T2^14 - 354*T1^11*T2^14 + 
     1058*T1^12*T2^14 - 348*T1^13*T2^14 + 890*T1^14*T2^14 + 94*T1^15*T2^14 + 
     186*T1^16*T2^14 - 85*T1^17*T2^14 + 33*T1^18*T2^14 - 44*T1^19*T2^14 + 
     126*T1^20*T2^14 - 23*T1^5*T2^15 - 76*T1^6*T2^15 + 73*T1^7*T2^15 - 
     108*T1^8*T2^15 + 186*T1^9*T2^15 - 306*T1^10*T2^15 - 235*T1^11*T2^15 - 
     112*T1^12*T2^15 - 484*T1^13*T2^15 + 94*T1^14*T2^15 - 606*T1^15*T2^15 + 
     48*T1^16*T2^15 + 24*T1^17*T2^15 - 89*T1^18*T2^15 + 132*T1^19*T2^15 - 
     138*T1^20*T2^15 + 42*T1^6*T2^16 + 12*T1^7*T2^16 - 25*T1^8*T2^16 + 
     7*T1^9*T2^16 - 9*T1^10*T2^16 + 204*T1^11*T2^16 + 138*T1^12*T2^16 + 
     115*T1^13*T2^16 + 186*T1^14*T2^16 + 48*T1^15*T2^16 + 351*T1^16*T2^16 - 
     293*T1^17*T2^16 + 251*T1^18*T2^16 - 204*T1^19*T2^16 + 126*T1^20*T2^16 - 
     45*T1^7*T2^17 + 36*T1^8*T2^17 - 6*T1^9*T2^17 + 3*T1^10*T2^17 - 
     32*T1^11*T2^17 - 120*T1^12*T2^17 - 49*T1^13*T2^17 - 85*T1^14*T2^17 + 
     24*T1^15*T2^17 - 293*T1^16*T2^17 + 255*T1^17*T2^17 - 231*T1^18*T2^17 + 
     180*T1^19*T2^17 - 90*T1^20*T2^17 + 36*T1^8*T2^18 - 64*T1^9*T2^18 + 
     57*T1^10*T2^18 - 33*T1^11*T2^18 + 35*T1^12*T2^18 + 55*T1^13*T2^18 + 
     33*T1^14*T2^18 - 89*T1^15*T2^18 + 251*T1^16*T2^18 - 231*T1^17*T2^18 + 
     201*T1^18*T2^18 - 136*T1^19*T2^18 + 54*T1^20*T2^18 - 20*T1^9*T2^19 + 
     56*T1^10*T2^19 - 84*T1^11*T2^19 + 84*T1^12*T2^19 - 60*T1^13*T2^19 - 
     44*T1^14*T2^19 + 132*T1^15*T2^19 - 204*T1^16*T2^19 + 180*T1^17*T2^19 - 
     136*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 6*T1^10*T2^20 - 
     24*T1^11*T2^20 + 54*T1^12*T2^20 - 90*T1^13*T2^20 + 126*T1^14*T2^20 - 
     138*T1^15*T2^20 + 126*T1^16*T2^20 - 90*T1^17*T2^20 + 54*T1^18*T2^20 - 
     24*T1^19*T2^20 + 6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1220] -> 
  {(1 - 4*T + 8*T^2 - 11*T^3 + 14*T^4 - 15*T^5 + 14*T^6 - 11*T^7 + 8*T^8 - 
     4*T^9 + T^10)/T^5, (-2 + 8*T1 - 16*T1^2 + 22*T1^3 - 28*T1^4 + 30*T1^5 - 
     28*T1^6 + 22*T1^7 - 16*T1^8 + 8*T1^9 - 2*T1^10 + 8*T2 - 28*T1*T2 + 
     48*T1^2*T2 - 56*T1^3*T2 + 68*T1^4*T2 - 64*T1^5*T2 + 52*T1^6*T2 - 
     32*T1^7*T2 + 20*T1^8*T2 - 8*T1^10*T2 + 4*T1^11*T2 - 16*T2^2 + 
     48*T1*T2^2 - 66*T1^2*T2^2 + 56*T1^3*T2^2 - 64*T1^4*T2^2 + 36*T1^5*T2^2 - 
     6*T1^6*T2^2 - 28*T1^7*T2^2 + 32*T1^8*T2^2 - 56*T1^9*T2^2 + 
     46*T1^10*T2^2 - 16*T1^11*T2^2 + 22*T2^3 - 56*T1*T2^3 + 56*T1^2*T2^3 - 
     19*T1^3*T2^3 + 29*T1^4*T2^3 + 17*T1^5*T2^3 - 44*T1^6*T2^3 + 
     59*T1^7*T2^3 - 24*T1^8*T2^3 + 43*T1^9*T2^3 - 7*T1^10*T2^3 - 
     48*T1^11*T2^3 + 44*T1^12*T2^3 - 11*T1^13*T2^3 - 28*T2^4 + 68*T1*T2^4 - 
     64*T1^2*T2^4 + 29*T1^3*T2^4 - 76*T1^4*T2^4 + 25*T1^5*T2^4 + 
     2*T1^6*T2^4 - 10*T1^7*T2^4 - 14*T1^8*T2^4 - 63*T1^9*T2^4 + 
     36*T1^10*T2^4 + 29*T1^11*T2^4 + 32*T1^12*T2^4 - 68*T1^13*T2^4 + 
     28*T1^14*T2^4 + 30*T2^5 - 64*T1*T2^5 + 36*T1^2*T2^5 + 17*T1^3*T2^5 + 
     25*T1^4*T2^5 + 93*T1^5*T2^5 - 144*T1^6*T2^5 + 121*T1^7*T2^5 - 
     102*T1^8*T2^5 + 170*T1^9*T2^5 - 59*T1^10*T2^5 - 65*T1^11*T2^5 - 
     62*T1^12*T2^5 + 20*T1^13*T2^5 + 68*T1^14*T2^5 - 45*T1^15*T2^5 - 
     28*T2^6 + 52*T1*T2^6 - 6*T1^2*T2^6 - 44*T1^3*T2^6 + 2*T1^4*T2^6 - 
     144*T1^5*T2^6 + 132*T1^6*T2^6 - 24*T1^7*T2^6 + 40*T1^8*T2^6 - 
     68*T1^9*T2^6 - 72*T1^10*T2^6 + 148*T1^11*T2^6 + 106*T1^12*T2^6 + 
     56*T1^13*T2^6 - 70*T1^14*T2^6 - 44*T1^15*T2^6 + 56*T1^16*T2^6 + 
     22*T2^7 - 32*T1*T2^7 - 28*T1^2*T2^7 + 59*T1^3*T2^7 - 10*T1^4*T2^7 + 
     121*T1^5*T2^7 - 24*T1^6*T2^7 - 133*T1^7*T2^7 + 39*T1^8*T2^7 - 
     99*T1^9*T2^7 + 181*T1^10*T2^7 - 176*T1^11*T2^7 - 172*T1^12*T2^7 - 
     118*T1^13*T2^7 - 48*T1^14*T2^7 + 116*T1^15*T2^7 - 4*T1^16*T2^7 - 
     55*T1^17*T2^7 - 16*T2^8 + 20*T1*T2^8 + 32*T1^2*T2^8 - 24*T1^3*T2^8 - 
     14*T1^4*T2^8 - 102*T1^5*T2^8 + 40*T1^6*T2^8 + 39*T1^7*T2^8 + 
     216*T1^8*T2^8 - 102*T1^9*T2^8 + 184*T1^10*T2^8 - 181*T1^11*T2^8 + 
     490*T1^12*T2^8 + 16*T1^13*T2^8 + 242*T1^14*T2^8 - 78*T1^15*T2^8 - 
     64*T1^16*T2^8 + 28*T1^17*T2^8 + 48*T1^18*T2^8 + 8*T2^9 - 56*T1^2*T2^9 + 
     43*T1^3*T2^9 - 63*T1^4*T2^9 + 170*T1^5*T2^9 - 68*T1^6*T2^9 - 
     99*T1^7*T2^9 - 102*T1^8*T2^9 - 266*T1^9*T2^9 + 126*T1^10*T2^9 - 
     246*T1^11*T2^9 - 125*T1^12*T2^9 - 348*T1^13*T2^9 - 232*T1^14*T2^9 + 
     15*T1^15*T2^9 - 55*T1^16*T2^9 + 112*T1^17*T2^9 - 80*T1^18*T2^9 - 
     28*T1^19*T2^9 - 2*T2^10 - 8*T1*T2^10 + 46*T1^2*T2^10 - 7*T1^3*T2^10 + 
     36*T1^4*T2^10 - 59*T1^5*T2^10 - 72*T1^6*T2^10 + 181*T1^7*T2^10 + 
     184*T1^8*T2^10 + 126*T1^9*T2^10 + 408*T1^10*T2^10 - 370*T1^11*T2^10 + 
     876*T1^12*T2^10 - 349*T1^13*T2^10 + 944*T1^14*T2^10 - 337*T1^15*T2^10 + 
     296*T1^16*T2^10 - 145*T1^17*T2^10 - 2*T1^18*T2^10 + 80*T1^19*T2^10 + 
     8*T1^20*T2^10 + 4*T1*T2^11 - 16*T1^2*T2^11 - 48*T1^3*T2^11 + 
     29*T1^4*T2^11 - 65*T1^5*T2^11 + 148*T1^6*T2^11 - 176*T1^7*T2^11 - 
     181*T1^8*T2^11 - 246*T1^9*T2^11 - 370*T1^10*T2^11 + 22*T1^11*T2^11 - 
     390*T1^12*T2^11 - 207*T1^13*T2^11 - 456*T1^14*T2^11 - 254*T1^15*T2^11 + 
     13*T1^16*T2^11 - 69*T1^17*T2^11 + 120*T1^18*T2^11 - 96*T1^19*T2^11 - 
     32*T1^20*T2^11 + 44*T1^3*T2^12 + 32*T1^4*T2^12 - 62*T1^5*T2^12 + 
     106*T1^6*T2^12 - 172*T1^7*T2^12 + 490*T1^8*T2^12 - 125*T1^9*T2^12 + 
     876*T1^10*T2^12 - 390*T1^11*T2^12 + 844*T1^12*T2^12 - 345*T1^13*T2^12 + 
     940*T1^14*T2^12 - 54*T1^15*T2^12 + 362*T1^16*T2^12 - 116*T1^17*T2^12 - 
     64*T1^18*T2^12 + 52*T1^19*T2^12 + 64*T1^20*T2^12 - 11*T1^3*T2^13 - 
     68*T1^4*T2^13 + 20*T1^5*T2^13 + 56*T1^6*T2^13 - 118*T1^7*T2^13 + 
     16*T1^8*T2^13 - 348*T1^9*T2^13 - 349*T1^10*T2^13 - 207*T1^11*T2^13 - 
     345*T1^12*T2^13 - 35*T1^13*T2^13 - 500*T1^14*T2^13 - 277*T1^15*T2^13 - 
     226*T1^16*T2^13 - 51*T1^17*T2^13 + 164*T1^18*T2^13 - 40*T1^19*T2^13 - 
     88*T1^20*T2^13 + 28*T1^4*T2^14 + 68*T1^5*T2^14 - 70*T1^6*T2^14 - 
     48*T1^7*T2^14 + 242*T1^8*T2^14 - 232*T1^9*T2^14 + 944*T1^10*T2^14 - 
     456*T1^11*T2^14 + 940*T1^12*T2^14 - 500*T1^13*T2^14 + 740*T1^14*T2^14 + 
     60*T1^15*T2^14 + 346*T1^16*T2^14 + 52*T1^17*T2^14 - 134*T1^18*T2^14 - 
     28*T1^19*T2^14 + 112*T1^20*T2^14 - 45*T1^5*T2^15 - 44*T1^6*T2^15 + 
     116*T1^7*T2^15 - 78*T1^8*T2^15 + 15*T1^9*T2^15 - 337*T1^10*T2^15 - 
     254*T1^11*T2^15 - 54*T1^12*T2^15 - 277*T1^13*T2^15 + 60*T1^14*T2^15 - 
     489*T1^15*T2^15 - 75*T1^16*T2^15 - 157*T1^17*T2^15 + 100*T1^18*T2^15 + 
     88*T1^19*T2^15 - 120*T1^20*T2^15 + 56*T1^6*T2^16 - 4*T1^7*T2^16 - 
     64*T1^8*T2^16 - 55*T1^9*T2^16 + 296*T1^10*T2^16 + 13*T1^11*T2^16 + 
     362*T1^12*T2^16 - 226*T1^13*T2^16 + 346*T1^14*T2^16 - 75*T1^15*T2^16 + 
     408*T1^16*T2^16 - 55*T1^17*T2^16 + 32*T1^18*T2^16 - 140*T1^19*T2^16 + 
     112*T1^20*T2^16 - 55*T1^7*T2^17 + 28*T1^8*T2^17 + 112*T1^9*T2^17 - 
     145*T1^10*T2^17 - 69*T1^11*T2^17 - 116*T1^12*T2^17 - 51*T1^13*T2^17 + 
     52*T1^14*T2^17 - 157*T1^15*T2^17 - 55*T1^16*T2^17 - 133*T1^17*T2^17 + 
     8*T1^18*T2^17 + 128*T1^19*T2^17 - 88*T1^20*T2^17 + 48*T1^8*T2^18 - 
     80*T1^9*T2^18 - 2*T1^10*T2^18 + 120*T1^11*T2^18 - 64*T1^12*T2^18 + 
     164*T1^13*T2^18 - 134*T1^14*T2^18 + 100*T1^15*T2^18 + 32*T1^16*T2^18 + 
     8*T1^17*T2^18 + 110*T1^18*T2^18 - 144*T1^19*T2^18 + 64*T1^20*T2^18 - 
     28*T1^9*T2^19 + 80*T1^10*T2^19 - 96*T1^11*T2^19 + 52*T1^12*T2^19 - 
     40*T1^13*T2^19 - 28*T1^14*T2^19 + 88*T1^15*T2^19 - 140*T1^16*T2^19 + 
     128*T1^17*T2^19 - 144*T1^18*T2^19 + 100*T1^19*T2^19 - 32*T1^20*T2^19 + 
     8*T1^10*T2^20 - 32*T1^11*T2^20 + 64*T1^12*T2^20 - 88*T1^13*T2^20 + 
     112*T1^14*T2^20 - 120*T1^15*T2^20 + 112*T1^16*T2^20 - 88*T1^17*T2^20 + 
     64*T1^18*T2^20 - 32*T1^19*T2^20 + 8*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1221] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 12*T^3 + 15*T^4 - 12*T^5 + 8*T^6 - 
      4*T^7 + T^8))/T^5, (-6 + 30*T1 - 78*T1^2 + 144*T1^3 - 210*T1^4 + 
     234*T1^5 - 210*T1^6 + 144*T1^7 - 78*T1^8 + 30*T1^9 - 6*T1^10 + 30*T2 - 
     125*T1*T2 + 265*T1^2*T2 - 395*T1^3*T2 + 450*T1^4*T2 - 295*T1^5*T2 + 
     75*T1^6*T2 + 155*T1^7*T2 - 210*T1^8*T2 + 175*T1^9*T2 - 95*T1^10*T2 + 
     25*T1^11*T2 - 78*T2^2 + 265*T1*T2^2 - 440*T1^2*T2^2 + 502*T1^3*T2^2 - 
     393*T1^4*T2^2 - 108*T1^5*T2^2 + 354*T1^6*T2^2 - 498*T1^7*T2^2 + 
     179*T1^8*T2^2 + 8*T1^9*T2^2 - 128*T1^10*T2^2 + 135*T1^11*T2^2 - 
     52*T1^12*T2^2 + 144*T2^3 - 395*T1*T2^3 + 502*T1^2*T2^3 - 439*T1^3*T2^3 + 
     221*T1^4*T2^3 + 503*T1^5*T2^3 - 292*T1^6*T2^3 + 270*T1^7*T2^3 + 
     412*T1^8*T2^3 - 254*T1^9*T2^3 + 191*T1^10*T2^3 - 44*T1^11*T2^3 - 
     100*T1^12*T2^3 + 72*T1^13*T2^3 - 210*T2^4 + 450*T1*T2^4 - 
     393*T1^2*T2^4 + 221*T1^3*T2^4 + 39*T1^4*T2^4 - 936*T1^5*T2^4 + 
     70*T1^6*T2^4 - 367*T1^7*T2^4 - 450*T1^8*T2^4 - 416*T1^9*T2^4 + 
     239*T1^10*T2^4 - 259*T1^11*T2^4 + 227*T1^12*T2^4 - 10*T1^13*T2^4 - 
     70*T1^14*T2^4 + 234*T2^5 - 295*T1*T2^5 - 108*T1^2*T2^5 + 503*T1^3*T2^5 - 
     936*T1^4*T2^5 + 1966*T1^5*T2^5 - 256*T1^6*T2^5 + 1040*T1^7*T2^5 + 
     368*T1^8*T2^5 + 836*T1^9*T2^5 + 310*T1^10*T2^5 - 252*T1^11*T2^5 + 
     230*T1^12*T2^5 - 330*T1^13*T2^5 + 155*T1^14*T2^5 + 39*T1^15*T2^5 - 
     210*T2^6 + 75*T1*T2^6 + 354*T1^2*T2^6 - 292*T1^3*T2^6 + 70*T1^4*T2^6 - 
     256*T1^5*T2^6 - 2547*T1^6*T2^6 + 874*T1^7*T2^6 - 2491*T1^8*T2^6 + 
     394*T1^9*T2^6 - 1907*T1^10*T2^6 + 784*T1^11*T2^6 - 380*T1^12*T2^6 + 
     258*T1^13*T2^6 + 94*T1^14*T2^6 - 195*T1^15*T2^6 + 144*T2^7 + 
     155*T1*T2^7 - 498*T1^2*T2^7 + 270*T1^3*T2^7 - 367*T1^4*T2^7 + 
     1040*T1^5*T2^7 + 874*T1^6*T2^7 + 2384*T1^7*T2^7 - 91*T1^8*T2^7 + 
     1681*T1^9*T2^7 + 1116*T1^10*T2^7 + 234*T1^11*T2^7 - 128*T1^12*T2^7 + 
     20*T1^13*T2^7 - 308*T1^14*T2^7 + 172*T1^15*T2^7 + 120*T1^16*T2^7 - 
     24*T1^17*T2^7 - 78*T2^8 - 210*T1*T2^8 + 179*T1^2*T2^8 + 412*T1^3*T2^8 - 
     450*T1^4*T2^8 + 368*T1^5*T2^8 - 2491*T1^6*T2^8 - 91*T1^7*T2^8 - 
     3749*T1^8*T2^8 + 2403*T1^9*T2^8 - 4221*T1^10*T2^8 + 1197*T1^11*T2^8 - 
     619*T1^12*T2^8 + 296*T1^13*T2^8 + 210*T1^14*T2^8 + 48*T1^15*T2^8 - 
     249*T1^16*T2^8 - 10*T1^17*T2^8 + 26*T1^18*T2^8 + 30*T2^9 + 175*T1*T2^9 + 
     8*T1^2*T2^9 - 254*T1^3*T2^9 - 416*T1^4*T2^9 + 836*T1^5*T2^9 + 
     394*T1^6*T2^9 + 1681*T1^7*T2^9 + 2403*T1^8*T2^9 - 775*T1^9*T2^9 + 
     1355*T1^10*T2^9 + 1298*T1^11*T2^9 - 1059*T1^12*T2^9 + 394*T1^13*T2^9 - 
     464*T1^14*T2^9 - 116*T1^15*T2^9 + 191*T1^16*T2^9 + 138*T1^17*T2^9 - 
     55*T1^18*T2^9 - 15*T1^19*T2^9 - 6*T2^10 - 95*T1*T2^10 - 128*T1^2*T2^10 + 
     191*T1^3*T2^10 + 239*T1^4*T2^10 + 310*T1^5*T2^10 - 1907*T1^6*T2^10 + 
     1116*T1^7*T2^10 - 4221*T1^8*T2^10 + 1355*T1^9*T2^10 - 84*T1^10*T2^10 - 
     1623*T1^11*T2^10 + 1149*T1^12*T2^10 + 116*T1^13*T2^10 + 
     237*T1^14*T2^10 + 286*T1^15*T2^10 - 99*T1^16*T2^10 - 215*T1^17*T2^10 + 
     16*T1^18*T2^10 + 55*T1^19*T2^10 + 4*T1^20*T2^10 + 25*T1*T2^11 + 
     135*T1^2*T2^11 - 44*T1^3*T2^11 - 259*T1^4*T2^11 - 252*T1^5*T2^11 + 
     784*T1^6*T2^11 + 234*T1^7*T2^11 + 1197*T1^8*T2^11 + 1298*T1^9*T2^11 - 
     1623*T1^10*T2^11 + 507*T1^11*T2^11 + 193*T1^12*T2^11 - 
     1543*T1^13*T2^11 + 234*T1^14*T2^11 - 516*T1^15*T2^11 + 48*T1^16*T2^11 + 
     186*T1^17*T2^11 + 86*T1^18*T2^11 - 95*T1^19*T2^11 - 20*T1^20*T2^11 - 
     52*T1^2*T2^12 - 100*T1^3*T2^12 + 227*T1^4*T2^12 + 230*T1^5*T2^12 - 
     380*T1^6*T2^12 - 128*T1^7*T2^12 - 619*T1^8*T2^12 - 1059*T1^9*T2^12 + 
     1149*T1^10*T2^12 + 193*T1^11*T2^12 + 677*T1^12*T2^12 + 229*T1^13*T2^12 + 
     1253*T1^14*T2^12 - 200*T1^15*T2^12 + 280*T1^16*T2^12 - 134*T1^17*T2^12 - 
     201*T1^18*T2^12 + 100*T1^19*T2^12 + 52*T1^20*T2^12 + 72*T1^3*T2^13 - 
     10*T1^4*T2^13 - 330*T1^5*T2^13 + 258*T1^6*T2^13 + 20*T1^7*T2^13 + 
     296*T1^8*T2^13 + 394*T1^9*T2^13 + 116*T1^10*T2^13 - 1543*T1^11*T2^13 + 
     229*T1^12*T2^13 - 1152*T1^13*T2^13 - 246*T1^14*T2^13 - 872*T1^15*T2^13 + 
     407*T1^16*T2^13 - 320*T1^17*T2^13 + 340*T1^18*T2^13 - 45*T1^19*T2^13 - 
     96*T1^20*T2^13 - 70*T1^4*T2^14 + 155*T1^5*T2^14 + 94*T1^6*T2^14 - 
     308*T1^7*T2^14 + 210*T1^8*T2^14 - 464*T1^9*T2^14 + 237*T1^10*T2^14 + 
     234*T1^11*T2^14 + 1253*T1^12*T2^14 - 246*T1^13*T2^14 + 877*T1^14*T2^14 + 
     576*T1^15*T2^14 - 240*T1^16*T2^14 + 242*T1^17*T2^14 - 166*T1^18*T2^14 - 
     115*T1^19*T2^14 + 140*T1^20*T2^14 + 39*T1^5*T2^15 - 195*T1^6*T2^15 + 
     172*T1^7*T2^15 + 48*T1^8*T2^15 - 116*T1^9*T2^15 + 286*T1^10*T2^15 - 
     516*T1^11*T2^15 - 200*T1^12*T2^15 - 872*T1^13*T2^15 + 576*T1^14*T2^15 - 
     1370*T1^15*T2^15 + 568*T1^16*T2^15 - 225*T1^17*T2^15 - 50*T1^18*T2^15 + 
     255*T1^19*T2^15 - 156*T1^20*T2^15 + 120*T1^7*T2^16 - 249*T1^8*T2^16 + 
     191*T1^9*T2^16 - 99*T1^10*T2^16 + 48*T1^11*T2^16 + 280*T1^12*T2^16 + 
     407*T1^13*T2^16 - 240*T1^14*T2^16 + 568*T1^15*T2^16 + 101*T1^16*T2^16 - 
     289*T1^17*T2^16 + 371*T1^18*T2^16 - 340*T1^19*T2^16 + 140*T1^20*T2^16 - 
     24*T1^7*T2^17 - 10*T1^8*T2^17 + 138*T1^9*T2^17 - 215*T1^10*T2^17 + 
     186*T1^11*T2^17 - 134*T1^12*T2^17 - 320*T1^13*T2^17 + 242*T1^14*T2^17 - 
     225*T1^15*T2^17 - 289*T1^16*T2^17 + 415*T1^17*T2^17 - 408*T1^18*T2^17 + 
     285*T1^19*T2^17 - 96*T1^20*T2^17 + 26*T1^8*T2^18 - 55*T1^9*T2^18 + 
     16*T1^10*T2^18 + 86*T1^11*T2^18 - 201*T1^12*T2^18 + 340*T1^13*T2^18 - 
     166*T1^14*T2^18 - 50*T1^15*T2^18 + 371*T1^16*T2^18 - 408*T1^17*T2^18 + 
     328*T1^18*T2^18 - 185*T1^19*T2^18 + 52*T1^20*T2^18 - 15*T1^9*T2^19 + 
     55*T1^10*T2^19 - 95*T1^11*T2^19 + 100*T1^12*T2^19 - 45*T1^13*T2^19 - 
     115*T1^14*T2^19 + 255*T1^15*T2^19 - 340*T1^16*T2^19 + 285*T1^17*T2^19 - 
     185*T1^18*T2^19 + 85*T1^19*T2^19 - 20*T1^20*T2^19 + 4*T1^10*T2^20 - 
     20*T1^11*T2^20 + 52*T1^12*T2^20 - 96*T1^13*T2^20 + 140*T1^14*T2^20 - 
     156*T1^15*T2^20 + 140*T1^16*T2^20 - 96*T1^17*T2^20 + 52*T1^18*T2^20 - 
     20*T1^19*T2^20 + 4*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1222] -> 
  {-((1 - 5*T + 13*T^2 - 25*T^3 + 37*T^4 - 43*T^5 + 37*T^6 - 25*T^7 + 
      13*T^8 - 5*T^9 + T^10)/T^5), 
   -((-5 + 25*T1 - 65*T1^2 + 125*T1^3 - 185*T1^4 + 215*T1^5 - 185*T1^6 + 
      125*T1^7 - 65*T1^8 + 25*T1^9 - 5*T1^10 + 25*T2 - 105*T1*T2 + 
      225*T1^2*T2 - 365*T1^3*T2 + 425*T1^4*T2 - 335*T1^5*T2 + 65*T1^6*T2 + 
      115*T1^7*T2 - 175*T1^8*T2 + 135*T1^9*T2 - 75*T1^10*T2 + 20*T1^11*T2 - 
      65*T2^2 + 225*T1*T2^2 - 383*T1^2*T2^2 + 517*T1^3*T2^2 - 408*T1^4*T2^2 + 
      65*T1^5*T2^2 + 457*T1^6*T2^2 - 403*T1^7*T2^2 + 216*T1^8*T2^2 - 
      3*T1^9*T2^2 - 71*T1^10*T2^2 + 95*T1^11*T2^2 - 39*T1^12*T2^2 + 
      125*T2^3 - 365*T1*T2^3 + 517*T1^2*T2^3 - 666*T1^3*T2^3 + 
      413*T1^4*T2^3 + 17*T1^5*T2^3 - 588*T1^6*T2^3 - 38*T1^7*T2^3 + 
      187*T1^8*T2^3 - 267*T1^9*T2^3 + 114*T1^10*T2^3 - 68*T1^11*T2^3 - 
      55*T1^12*T2^3 + 50*T1^13*T2^3 - 185*T2^4 + 425*T1*T2^4 - 
      408*T1^2*T2^4 + 413*T1^3*T2^4 + 261*T1^4*T2^4 - 943*T1^5*T2^4 + 
      1687*T1^6*T2^4 - 425*T1^7*T2^4 + 739*T1^8*T2^4 - 567*T1^9*T2^4 + 
      589*T1^10*T2^4 - 287*T1^11*T2^4 + 266*T1^12*T2^4 - 65*T1^13*T2^4 - 
      37*T1^14*T2^4 + 215*T2^5 - 335*T1*T2^5 + 65*T1^2*T2^5 + 17*T1^3*T2^5 - 
      943*T1^4*T2^5 + 1361*T1^5*T2^5 - 1695*T1^6*T2^5 - 482*T1^7*T2^5 - 
      722*T1^8*T2^5 + 205*T1^9*T2^5 - 139*T1^10*T2^5 - 318*T1^11*T2^5 + 
      127*T1^12*T2^5 - 280*T1^13*T2^5 + 185*T1^14*T2^5 - 185*T2^6 + 
      65*T1*T2^6 + 457*T1^2*T2^6 - 588*T1^3*T2^6 + 1687*T1^4*T2^6 - 
      1695*T1^5*T2^6 + 1695*T1^6*T2^6 + 620*T1^7*T2^6 + 1987*T1^8*T2^6 - 
      496*T1^9*T2^6 + 95*T1^10*T2^6 + 479*T1^11*T2^6 - 55*T1^12*T2^6 + 
      232*T1^13*T2^6 + 5*T1^14*T2^6 - 185*T1^15*T2^6 + 37*T1^16*T2^6 + 
      125*T2^7 + 115*T1*T2^7 - 403*T1^2*T2^7 - 38*T1^3*T2^7 - 425*T1^4*T2^7 - 
      482*T1^5*T2^7 + 620*T1^6*T2^7 - 1792*T1^7*T2^7 - 2324*T1^8*T2^7 - 
      298*T1^9*T2^7 + 470*T1^10*T2^7 - 439*T1^11*T2^7 - 230*T1^12*T2^7 - 
      26*T1^13*T2^7 - 228*T1^14*T2^7 + 270*T1^15*T2^7 + 65*T1^16*T2^7 - 
      50*T1^17*T2^7 - 65*T2^8 - 175*T1*T2^8 + 216*T1^2*T2^8 + 187*T1^3*T2^8 + 
      739*T1^4*T2^8 - 722*T1^5*T2^8 + 1987*T1^6*T2^8 - 2324*T1^7*T2^8 + 
      5209*T1^8*T2^8 + 317*T1^9*T2^8 - 1067*T1^10*T2^8 + 564*T1^11*T2^8 - 
      151*T1^12*T2^8 + 256*T1^13*T2^8 + 99*T1^14*T2^8 - 133*T1^15*T2^8 - 
      258*T1^16*T2^8 + 55*T1^17*T2^8 + 39*T1^18*T2^8 + 25*T2^9 + 
      135*T1*T2^9 - 3*T1^2*T2^9 - 267*T1^3*T2^9 - 567*T1^4*T2^9 + 
      205*T1^5*T2^9 - 496*T1^6*T2^9 - 298*T1^7*T2^9 + 317*T1^8*T2^9 - 
      5635*T1^9*T2^9 + 3425*T1^10*T2^9 + 70*T1^11*T2^9 - 600*T1^12*T2^9 + 
      791*T1^13*T2^9 - 599*T1^14*T2^9 + 302*T1^15*T2^9 + 293*T1^16*T2^9 + 
      62*T1^17*T2^9 - 95*T1^18*T2^9 - 20*T1^19*T2^9 - 5*T2^10 - 75*T1*T2^10 - 
      71*T1^2*T2^10 + 114*T1^3*T2^10 + 589*T1^4*T2^10 - 139*T1^5*T2^10 + 
      95*T1^6*T2^10 + 470*T1^7*T2^10 - 1067*T1^8*T2^10 + 3425*T1^9*T2^10 + 
      516*T1^10*T2^10 - 3789*T1^11*T2^10 + 1279*T1^12*T2^10 - 
      742*T1^13*T2^10 - 261*T1^14*T2^10 + 291*T1^15*T2^10 - 621*T1^16*T2^10 - 
      106*T1^17*T2^10 + 73*T1^18*T2^10 + 75*T1^19*T2^10 + 5*T1^20*T2^10 + 
      20*T1*T2^11 + 95*T1^2*T2^11 - 68*T1^3*T2^11 - 287*T1^4*T2^11 - 
      318*T1^5*T2^11 + 479*T1^6*T2^11 - 439*T1^7*T2^11 + 564*T1^8*T2^11 + 
      70*T1^9*T2^11 - 3789*T1^10*T2^11 + 5271*T1^11*T2^11 - 177*T1^12*T2^11 + 
      262*T1^13*T2^11 + 848*T1^14*T2^11 - 325*T1^15*T2^11 + 551*T1^16*T2^11 + 
      273*T1^17*T2^11 - 3*T1^18*T2^11 - 135*T1^19*T2^11 - 25*T1^20*T2^11 - 
      39*T1^2*T2^12 - 55*T1^3*T2^12 + 266*T1^4*T2^12 + 127*T1^5*T2^12 - 
      55*T1^6*T2^12 - 230*T1^7*T2^12 - 151*T1^8*T2^12 - 600*T1^9*T2^12 + 
      1279*T1^10*T2^12 - 177*T1^11*T2^12 - 4997*T1^12*T2^12 + 
      2288*T1^13*T2^12 - 2289*T1^14*T2^12 + 748*T1^15*T2^12 - 
      695*T1^16*T2^12 - 193*T1^17*T2^12 - 208*T1^18*T2^12 + 175*T1^19*T2^12 + 
      65*T1^20*T2^12 + 50*T1^3*T2^13 - 65*T1^4*T2^13 - 280*T1^5*T2^13 + 
      232*T1^6*T2^13 - 26*T1^7*T2^13 + 256*T1^8*T2^13 + 791*T1^9*T2^13 - 
      742*T1^10*T2^13 + 262*T1^11*T2^13 + 2288*T1^12*T2^13 + 
      1520*T1^13*T2^13 - 268*T1^14*T2^13 + 508*T1^15*T2^13 + 
      373*T1^16*T2^13 + 42*T1^17*T2^13 + 393*T1^18*T2^13 - 115*T1^19*T2^13 - 
      125*T1^20*T2^13 - 37*T1^4*T2^14 + 185*T1^5*T2^14 + 5*T1^6*T2^14 - 
      228*T1^7*T2^14 + 99*T1^8*T2^14 - 599*T1^9*T2^14 - 261*T1^10*T2^14 + 
      848*T1^11*T2^14 - 2289*T1^12*T2^14 - 268*T1^13*T2^14 - 
      1861*T1^14*T2^14 + 1575*T1^15*T2^14 - 1643*T1^16*T2^14 + 
      592*T1^17*T2^14 - 447*T1^18*T2^14 - 65*T1^19*T2^14 + 185*T1^20*T2^14 - 
      185*T1^6*T2^15 + 270*T1^7*T2^15 - 133*T1^8*T2^15 + 302*T1^9*T2^15 + 
      291*T1^10*T2^15 - 325*T1^11*T2^15 + 748*T1^12*T2^15 + 508*T1^13*T2^15 + 
      1575*T1^14*T2^15 - 1209*T1^15*T2^15 + 927*T1^16*T2^15 - 
      23*T1^17*T2^15 - 75*T1^18*T2^15 + 335*T1^19*T2^15 - 215*T1^20*T2^15 + 
      37*T1^6*T2^16 + 65*T1^7*T2^16 - 258*T1^8*T2^16 + 293*T1^9*T2^16 - 
      621*T1^10*T2^16 + 551*T1^11*T2^16 - 695*T1^12*T2^16 + 373*T1^13*T2^16 - 
      1643*T1^14*T2^16 + 927*T1^15*T2^16 - 293*T1^16*T2^16 - 
      407*T1^17*T2^16 + 416*T1^18*T2^16 - 425*T1^19*T2^16 + 185*T1^20*T2^16 - 
      50*T1^7*T2^17 + 55*T1^8*T2^17 + 62*T1^9*T2^17 - 106*T1^10*T2^17 + 
      273*T1^11*T2^17 - 193*T1^12*T2^17 + 42*T1^13*T2^17 + 592*T1^14*T2^17 - 
      23*T1^15*T2^17 - 407*T1^16*T2^17 + 674*T1^17*T2^17 - 523*T1^18*T2^17 + 
      365*T1^19*T2^17 - 125*T1^20*T2^17 + 39*T1^8*T2^18 - 95*T1^9*T2^18 + 
      73*T1^10*T2^18 - 3*T1^11*T2^18 - 208*T1^12*T2^18 + 393*T1^13*T2^18 - 
      447*T1^14*T2^18 - 75*T1^15*T2^18 + 416*T1^16*T2^18 - 523*T1^17*T2^18 + 
      385*T1^18*T2^18 - 225*T1^19*T2^18 + 65*T1^20*T2^18 - 20*T1^9*T2^19 + 
      75*T1^10*T2^19 - 135*T1^11*T2^19 + 175*T1^12*T2^19 - 115*T1^13*T2^19 - 
      65*T1^14*T2^19 + 335*T1^15*T2^19 - 425*T1^16*T2^19 + 365*T1^17*T2^19 - 
      225*T1^18*T2^19 + 105*T1^19*T2^19 - 25*T1^20*T2^19 + 5*T1^10*T2^20 - 
      25*T1^11*T2^20 + 65*T1^12*T2^20 - 125*T1^13*T2^20 + 185*T1^14*T2^20 - 
      215*T1^15*T2^20 + 185*T1^16*T2^20 - 125*T1^17*T2^20 + 65*T1^18*T2^20 - 
      25*T1^19*T2^20 + 5*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1223] -> 
  {-((1 - 4*T + 10*T^2 - 18*T^3 + 23*T^4 - 25*T^5 + 23*T^6 - 18*T^7 + 
      10*T^8 - 4*T^9 + T^10)/T^5), 
   -((-7 + 28*T1 - 70*T1^2 + 126*T1^3 - 161*T1^4 + 175*T1^5 - 161*T1^6 + 
      126*T1^7 - 70*T1^8 + 28*T1^9 - 7*T1^10 + 28*T2 - 88*T1*T2 + 
      184*T1^2*T2 - 264*T1^3*T2 + 212*T1^4*T2 - 148*T1^5*T2 + 44*T1^6*T2 + 
      48*T1^7*T2 - 152*T1^8*T2 + 128*T1^9*T2 - 68*T1^10*T2 + 24*T1^11*T2 - 
      70*T2^2 + 184*T1*T2^2 - 364*T1^2*T2^2 + 492*T1^3*T2^2 - 362*T1^4*T2^2 + 
      408*T1^5*T2^2 - 322*T1^6*T2^2 + 268*T1^7*T2^2 - 102*T1^8*T2^2 + 
      212*T1^9*T2^2 - 184*T1^10*T2^2 + 104*T1^11*T2^2 - 50*T1^12*T2^2 + 
      126*T2^3 - 264*T1*T2^3 + 492*T1^2*T2^3 - 572*T1^3*T2^3 + 
      244*T1^4*T2^3 - 457*T1^5*T2^3 + 187*T1^6*T2^3 - 107*T1^7*T2^3 - 
      207*T1^8*T2^3 - 94*T1^9*T2^3 - 106*T1^10*T2^3 + 152*T1^11*T2^3 - 
      88*T1^12*T2^3 + 72*T1^13*T2^3 - 161*T2^4 + 212*T1*T2^4 - 
      362*T1^2*T2^4 + 244*T1^3*T2^4 + 228*T1^4*T2^4 + 414*T1^5*T2^4 + 
      98*T1^6*T2^4 + 44*T1^7*T2^4 + 286*T1^8*T2^4 + 354*T1^9*T2^4 + 
      236*T1^10*T2^4 - 116*T1^11*T2^4 - 18*T1^12*T2^4 - 12*T1^13*T2^4 - 
      69*T1^14*T2^4 + 175*T2^5 - 148*T1*T2^5 + 408*T1^2*T2^5 - 
      457*T1^3*T2^5 + 414*T1^4*T2^5 - 1667*T1^5*T2^5 + 552*T1^6*T2^5 - 
      792*T1^7*T2^5 + 32*T1^8*T2^5 - 543*T1^9*T2^5 - 829*T1^10*T2^5 + 
      263*T1^11*T2^5 - 67*T1^12*T2^5 + 82*T1^13*T2^5 + 76*T1^14*T2^5 + 
      50*T1^15*T2^5 - 161*T2^6 + 44*T1*T2^6 - 322*T1^2*T2^6 + 187*T1^3*T2^6 + 
      98*T1^4*T2^6 + 552*T1^5*T2^6 + 1888*T1^6*T2^6 - 1471*T1^7*T2^6 + 
      2384*T1^8*T2^6 - 1423*T1^9*T2^6 + 2504*T1^10*T2^6 - 538*T1^11*T2^6 + 
      212*T1^12*T2^6 - 137*T1^13*T2^6 - 82*T1^14*T2^6 - 108*T1^15*T2^6 - 
      23*T1^16*T2^6 + 126*T2^7 + 48*T1*T2^7 + 268*T1^2*T2^7 - 107*T1^3*T2^7 + 
      44*T1^4*T2^7 - 792*T1^5*T2^7 - 1471*T1^6*T2^7 - 136*T1^7*T2^7 - 
      645*T1^8*T2^7 - 407*T1^9*T2^7 - 886*T1^10*T2^7 - 1067*T1^11*T2^7 + 
      232*T1^12*T2^7 - 4*T1^13*T2^7 + 147*T1^14*T2^7 + 98*T1^15*T2^7 + 
      92*T1^16*T2^7 - 70*T2^8 - 152*T1*T2^8 - 102*T1^2*T2^8 - 207*T1^3*T2^8 + 
      286*T1^4*T2^8 + 32*T1^5*T2^8 + 2384*T1^6*T2^8 - 645*T1^7*T2^8 + 
      2012*T1^8*T2^8 - 1264*T1^9*T2^8 + 2344*T1^10*T2^8 - 201*T1^11*T2^8 + 
      1064*T1^12*T2^8 - 492*T1^13*T2^8 - 50*T1^14*T2^8 - 107*T1^15*T2^8 - 
      110*T1^16*T2^8 - 40*T1^17*T2^8 + 10*T1^18*T2^8 + 28*T2^9 + 
      128*T1*T2^9 + 212*T1^2*T2^9 - 94*T1^3*T2^9 + 354*T1^4*T2^9 - 
      543*T1^5*T2^9 - 1423*T1^6*T2^9 - 407*T1^7*T2^9 - 1264*T1^8*T2^9 + 
      669*T1^9*T2^9 - 1193*T1^10*T2^9 - 709*T1^11*T2^9 - 233*T1^12*T2^9 - 
      403*T1^13*T2^9 + 572*T1^14*T2^9 - 41*T1^15*T2^9 + 112*T1^16*T2^9 + 
      72*T1^17*T2^9 - 8*T1^18*T2^9 - 8*T1^19*T2^9 - 7*T2^10 - 68*T1*T2^10 - 
      184*T1^2*T2^10 - 106*T1^3*T2^10 + 236*T1^4*T2^10 - 829*T1^5*T2^10 + 
      2504*T1^6*T2^10 - 886*T1^7*T2^10 + 2344*T1^8*T2^10 - 1193*T1^9*T2^10 + 
      576*T1^10*T2^10 + 961*T1^11*T2^10 - 122*T1^12*T2^10 + 578*T1^13*T2^10 - 
      472*T1^14*T2^10 - 207*T1^15*T2^10 + 36*T1^16*T2^10 - 110*T1^17*T2^10 + 
      4*T1^18*T2^10 + 20*T1^19*T2^10 + 3*T1^20*T2^10 + 24*T1*T2^11 + 
      104*T1^2*T2^11 + 152*T1^3*T2^11 - 116*T1^4*T2^11 + 263*T1^5*T2^11 - 
      538*T1^6*T2^11 - 1067*T1^7*T2^11 - 201*T1^8*T2^11 - 709*T1^9*T2^11 + 
      961*T1^10*T2^11 - 901*T1^11*T2^11 - 154*T1^12*T2^11 - 27*T1^13*T2^11 - 
      47*T1^14*T2^11 + 577*T1^15*T2^11 - 132*T1^16*T2^11 + 90*T1^17*T2^11 + 
      12*T1^18*T2^11 - 32*T1^19*T2^11 - 12*T1^20*T2^11 - 50*T1^2*T2^12 - 
      88*T1^3*T2^12 - 18*T1^4*T2^12 - 67*T1^5*T2^12 + 212*T1^6*T2^12 + 
      232*T1^7*T2^12 + 1064*T1^8*T2^12 - 233*T1^9*T2^12 - 122*T1^10*T2^12 - 
      154*T1^11*T2^12 + 210*T1^12*T2^12 + 211*T1^13*T2^12 - 256*T1^14*T2^12 - 
      292*T1^15*T2^12 - 124*T1^16*T2^12 + 33*T1^17*T2^12 - 26*T1^18*T2^12 + 
      24*T1^19*T2^12 + 30*T1^20*T2^12 + 72*T1^3*T2^13 - 12*T1^4*T2^13 + 
      82*T1^5*T2^13 - 137*T1^6*T2^13 - 4*T1^7*T2^13 - 492*T1^8*T2^13 - 
      403*T1^9*T2^13 + 578*T1^10*T2^13 - 27*T1^11*T2^13 + 211*T1^12*T2^13 - 
      172*T1^13*T2^13 + T1^14*T2^13 + 532*T1^15*T2^13 - 52*T1^16*T2^13 + 
      117*T1^17*T2^13 - 88*T1^18*T2^13 + 32*T1^19*T2^13 - 54*T1^20*T2^13 - 
      69*T1^4*T2^14 + 76*T1^5*T2^14 - 82*T1^6*T2^14 + 147*T1^7*T2^14 - 
      50*T1^8*T2^14 + 572*T1^9*T2^14 - 472*T1^10*T2^14 - 47*T1^11*T2^14 - 
      256*T1^12*T2^14 + T1^13*T2^14 + 144*T1^14*T2^14 - 518*T1^15*T2^14 + 
      64*T1^16*T2^14 - 177*T1^17*T2^14 + 158*T1^18*T2^14 - 76*T1^19*T2^14 + 
      69*T1^20*T2^14 + 50*T1^5*T2^15 - 108*T1^6*T2^15 + 98*T1^7*T2^15 - 
      107*T1^8*T2^15 - 41*T1^9*T2^15 - 207*T1^10*T2^15 + 577*T1^11*T2^15 - 
      292*T1^12*T2^15 + 532*T1^13*T2^15 - 518*T1^14*T2^15 + 631*T1^15*T2^15 - 
      192*T1^16*T2^15 + 283*T1^17*T2^15 - 228*T1^18*T2^15 + 116*T1^19*T2^15 - 
      75*T1^20*T2^15 - 23*T1^6*T2^16 + 92*T1^7*T2^16 - 110*T1^8*T2^16 + 
      112*T1^9*T2^16 + 36*T1^10*T2^16 - 132*T1^11*T2^16 - 124*T1^12*T2^16 - 
      52*T1^13*T2^16 + 64*T1^14*T2^16 - 192*T1^15*T2^16 + 44*T1^16*T2^16 - 
      248*T1^17*T2^16 + 234*T1^18*T2^16 - 132*T1^19*T2^16 + 69*T1^20*T2^16 - 
      40*T1^8*T2^17 + 72*T1^9*T2^17 - 110*T1^10*T2^17 + 90*T1^11*T2^17 + 
      33*T1^12*T2^17 + 117*T1^13*T2^17 - 177*T1^14*T2^17 + 283*T1^15*T2^17 - 
      248*T1^16*T2^17 + 356*T1^17*T2^17 - 268*T1^18*T2^17 + 136*T1^19*T2^17 - 
      54*T1^20*T2^17 + 10*T1^8*T2^18 - 8*T1^9*T2^18 + 4*T1^10*T2^18 + 
      12*T1^11*T2^18 - 26*T1^12*T2^18 - 88*T1^13*T2^18 + 158*T1^14*T2^18 - 
      228*T1^15*T2^18 + 234*T1^16*T2^18 - 268*T1^17*T2^18 + 184*T1^18*T2^18 - 
      88*T1^19*T2^18 + 30*T1^20*T2^18 - 8*T1^9*T2^19 + 20*T1^10*T2^19 - 
      32*T1^11*T2^19 + 24*T1^12*T2^19 + 32*T1^13*T2^19 - 76*T1^14*T2^19 + 
      116*T1^15*T2^19 - 132*T1^16*T2^19 + 136*T1^17*T2^19 - 88*T1^18*T2^19 + 
      40*T1^19*T2^19 - 12*T1^20*T2^19 + 3*T1^10*T2^20 - 12*T1^11*T2^20 + 
      30*T1^12*T2^20 - 54*T1^13*T2^20 + 69*T1^14*T2^20 - 75*T1^15*T2^20 + 
      69*T1^16*T2^20 - 54*T1^17*T2^20 + 30*T1^18*T2^20 - 12*T1^19*T2^20 + 
      3*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1224] -> 
  {-(((1 - T + T^2)*(-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/
     T^4), -((-41 + 164*T1 - 369*T1^2 + 594*T1^3 - 675*T1^4 + 594*T1^5 - 
      369*T1^6 + 164*T1^7 - 41*T1^8 + 164*T2 - 524*T1*T2 + 948*T1^2*T2 - 
      1188*T1^3*T2 + 788*T1^4*T2 - 204*T1^5*T2 - 436*T1^6*T2 + 532*T1^7*T2 - 
      364*T1^8*T2 + 132*T1^9*T2 - 369*T2^2 + 948*T1*T2^2 - 1426*T1^2*T2^2 + 
      1466*T1^3*T2^2 - 392*T1^4*T2^2 - 168*T1^5*T2^2 + 688*T1^6*T2^2 - 
      46*T1^7*T2^2 - 274*T1^8*T2^2 + 372*T1^9*T2^2 - 225*T1^10*T2^2 + 
      594*T2^3 - 1188*T1*T2^3 + 1466*T1^2*T2^3 - 1194*T1^3*T2^3 - 
      433*T1^4*T2^3 + 213*T1^5*T2^3 - 537*T1^6*T2^3 - 799*T1^7*T2^3 + 
      456*T1^8*T2^3 - 226*T1^9*T2^3 - 84*T1^10*T2^3 + 246*T1^11*T2^3 - 
      675*T2^4 + 788*T1*T2^4 - 392*T1^2*T2^4 - 433*T1^3*T2^4 + 
      2289*T1^4*T2^4 - 647*T1^5*T2^4 + 1001*T1^6*T2^4 + 769*T1^7*T2^4 + 
      729*T1^8*T2^4 - 665*T1^9*T2^4 + 648*T1^10*T2^4 - 396*T1^11*T2^4 - 
      147*T1^12*T2^4 + 594*T2^5 - 204*T1*T2^5 - 168*T1^2*T2^5 + 
      213*T1^3*T2^5 - 647*T1^4*T2^5 - 2608*T1^5*T2^5 + 976*T1^6*T2^5 - 
      1704*T1^7*T2^5 - 1556*T1^8*T2^5 + 763*T1^9*T2^5 - 413*T1^10*T2^5 - 
      96*T1^11*T2^5 + 532*T1^12*T2^5 + 14*T1^13*T2^5 - 369*T2^6 - 
      436*T1*T2^6 + 688*T1^2*T2^6 - 537*T1^3*T2^6 + 1001*T1^4*T2^6 + 
      976*T1^5*T2^6 + 3172*T1^6*T2^6 - 2794*T1^7*T2^6 + 4960*T1^8*T2^6 - 
      1468*T1^9*T2^6 + 225*T1^10*T2^6 + 399*T1^11*T2^6 - 472*T1^12*T2^6 - 
      308*T1^13*T2^6 + 63*T1^14*T2^6 + 164*T2^7 + 532*T1*T2^7 - 
      46*T1^2*T2^7 - 799*T1^3*T2^7 + 769*T1^4*T2^7 - 1704*T1^5*T2^7 - 
      2794*T1^6*T2^7 + 1403*T1^7*T2^7 - 1929*T1^8*T2^7 - 1717*T1^9*T2^7 + 
      1448*T1^10*T2^7 - 665*T1^11*T2^7 + 103*T1^12*T2^7 + 566*T1^13*T2^7 - 
      12*T1^14*T2^7 - 60*T1^15*T2^7 - 41*T2^8 - 364*T1*T2^8 - 274*T1^2*T2^8 + 
      456*T1^3*T2^8 + 729*T1^4*T2^8 - 1556*T1^5*T2^8 + 4960*T1^6*T2^8 - 
      1929*T1^7*T2^8 + 636*T1^8*T2^8 + 1973*T1^9*T2^8 - 746*T1^10*T2^8 - 
      484*T1^11*T2^8 + 521*T1^12*T2^8 - 564*T1^13*T2^8 - 178*T1^14*T2^8 + 
      148*T1^15*T2^8 + 23*T1^16*T2^8 + 132*T1*T2^9 + 372*T1^2*T2^9 - 
      226*T1^3*T2^9 - 665*T1^4*T2^9 + 763*T1^5*T2^9 - 1468*T1^6*T2^9 - 
      1717*T1^7*T2^9 + 1973*T1^8*T2^9 - 1359*T1^9*T2^9 - 640*T1^10*T2^9 + 
      1684*T1^11*T2^9 - 671*T1^12*T2^9 + 237*T1^13*T2^9 + 386*T1^14*T2^9 - 
      172*T1^15*T2^9 - 92*T1^16*T2^9 - 225*T1^2*T2^10 - 84*T1^3*T2^10 + 
      648*T1^4*T2^10 - 413*T1^5*T2^10 + 225*T1^6*T2^10 + 1448*T1^7*T2^10 - 
      746*T1^8*T2^10 - 640*T1^9*T2^10 + 1042*T1^10*T2^10 - 996*T1^11*T2^10 - 
      551*T1^12*T2^10 + 523*T1^13*T2^10 - 512*T1^14*T2^10 + 44*T1^15*T2^10 + 
      207*T1^16*T2^10 + 246*T1^3*T2^11 - 396*T1^4*T2^11 - 96*T1^5*T2^11 + 
      399*T1^6*T2^11 - 665*T1^7*T2^11 - 484*T1^8*T2^11 + 1684*T1^9*T2^11 - 
      996*T1^10*T2^11 + 568*T1^11*T2^11 + 745*T1^12*T2^11 - 227*T1^13*T2^11 - 
      24*T1^14*T2^11 + 340*T1^15*T2^11 - 334*T1^16*T2^11 - 147*T1^4*T2^12 + 
      532*T1^5*T2^12 - 472*T1^6*T2^12 + 103*T1^7*T2^12 + 521*T1^8*T2^12 - 
      671*T1^9*T2^12 - 551*T1^10*T2^12 + 745*T1^11*T2^12 - 1039*T1^12*T2^12 - 
      129*T1^13*T2^12 + 568*T1^14*T2^12 - 652*T1^15*T2^12 + 381*T1^16*T2^12 + 
      14*T1^5*T2^13 - 308*T1^6*T2^13 + 566*T1^7*T2^13 - 564*T1^8*T2^13 + 
      237*T1^9*T2^13 + 523*T1^10*T2^13 - 227*T1^11*T2^13 - 129*T1^12*T2^13 + 
      1086*T1^13*T2^13 - 1126*T1^14*T2^13 + 796*T1^15*T2^13 - 
      334*T1^16*T2^13 + 63*T1^6*T2^14 - 12*T1^7*T2^14 - 178*T1^8*T2^14 + 
      386*T1^9*T2^14 - 512*T1^10*T2^14 - 24*T1^11*T2^14 + 568*T1^12*T2^14 - 
      1126*T1^13*T2^14 + 974*T1^14*T2^14 - 588*T1^15*T2^14 + 
      207*T1^16*T2^14 - 60*T1^7*T2^15 + 148*T1^8*T2^15 - 172*T1^9*T2^15 + 
      44*T1^10*T2^15 + 340*T1^11*T2^15 - 652*T1^12*T2^15 + 796*T1^13*T2^15 - 
      588*T1^14*T2^15 + 308*T1^15*T2^15 - 92*T1^16*T2^15 + 23*T1^8*T2^16 - 
      92*T1^9*T2^16 + 207*T1^10*T2^16 - 334*T1^11*T2^16 + 381*T1^12*T2^16 - 
      334*T1^13*T2^16 + 207*T1^14*T2^16 - 92*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1225] -> 
  {-(((1 - T + T^2)^2*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^5), 
   -(((1 - T1 + T1^2)^2*(-1 + T1 - 2*T1^2 + T1^3)*(-1 + 2*T1 - T1^2 + T1^3)*
      (-1 + T1*T2)^2*(1 + T1*T2)*(1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*
      (-1 + T2 - 2*T2^2 + T2^3)*(-1 + 2*T2 - T2^2 + T2^3)*
      (5 - 5*T1*T2 + 12*T1^2*T2^2 - 5*T1^3*T2^3 + 5*T1^4*T2^4))/
     (T1^11*T2^10))}, Knot[12, Alternating, 1226] -> 
  {((1 - T + T^2)*(1 - T + 2*T^2 - 2*T^3 + T^4)*(1 - 2*T + 2*T^2 - T^3 + 
      T^4))/T^5, (-4 + 16*T1 - 40*T1^2 + 72*T1^3 - 104*T1^4 + 116*T1^5 - 
     104*T1^6 + 72*T1^7 - 40*T1^8 + 16*T1^9 - 4*T1^10 + 16*T2 - 52*T1*T2 + 
     112*T1^2*T2 - 168*T1^3*T2 + 200*T1^4*T2 - 152*T1^5*T2 + 68*T1^6*T2 + 
     24*T1^7*T2 - 56*T1^8*T2 + 56*T1^9*T2 - 32*T1^10*T2 + 12*T1^11*T2 - 
     40*T2^2 + 112*T1*T2^2 - 230*T1^2*T2^2 + 326*T1^3*T2^2 - 389*T1^4*T2^2 + 
     295*T1^5*T2^2 - 198*T1^6*T2^2 + 75*T1^7*T2^2 - 69*T1^8*T2^2 + 
     46*T1^9*T2^2 - 50*T1^10*T2^2 + 32*T1^11*T2^2 - 20*T1^12*T2^2 + 72*T2^3 - 
     168*T1*T2^3 + 326*T1^2*T2^3 - 410*T1^3*T2^3 + 461*T1^4*T2^3 - 
     260*T1^5*T2^3 + 171*T1^6*T2^3 - 5*T1^7*T2^3 + 86*T1^8*T2^3 - 
     39*T1^9*T2^3 + 56*T1^10*T2^3 - 14*T1^11*T2^3 + 8*T1^12*T2^3 + 
     18*T1^13*T2^3 - 104*T2^4 + 200*T1*T2^4 - 389*T1^2*T2^4 + 461*T1^3*T2^4 - 
     571*T1^4*T2^4 + 357*T1^5*T2^4 - 413*T1^6*T2^4 + 195*T1^7*T2^4 - 
     333*T1^8*T2^4 + 61*T1^9*T2^4 + 13*T1^10*T2^4 - 115*T1^11*T2^4 + 
     75*T1^12*T2^4 - 72*T1^13*T2^4 + 116*T2^5 - 152*T1*T2^5 + 295*T1^2*T2^5 - 
     260*T1^3*T2^5 + 357*T1^4*T2^5 - 77*T1^5*T2^5 + 260*T1^6*T2^5 + 
     27*T1^7*T2^5 + 259*T1^8*T2^5 + 158*T1^9*T2^5 - 47*T1^10*T2^5 - 
     5*T1^11*T2^5 + 130*T1^12*T2^5 - 87*T1^13*T2^5 + 116*T1^14*T2^5 - 
     29*T1^15*T2^5 - 104*T2^6 + 68*T1*T2^6 - 198*T1^2*T2^6 + 171*T1^3*T2^6 - 
     413*T1^4*T2^6 + 260*T1^5*T2^6 - 655*T1^6*T2^6 + 309*T1^7*T2^6 - 
     579*T1^8*T2^6 - 171*T1^9*T2^6 - 35*T1^10*T2^6 + 56*T1^11*T2^6 - 
     29*T1^12*T2^6 - 77*T1^13*T2^6 + 26*T1^14*T2^6 - 92*T1^15*T2^6 + 
     52*T1^16*T2^6 + 72*T2^7 + 24*T1*T2^7 + 75*T1^2*T2^7 - 5*T1^3*T2^7 + 
     195*T1^4*T2^7 + 27*T1^5*T2^7 + 309*T1^6*T2^7 + 110*T1^7*T2^7 + 
     182*T1^8*T2^7 + 438*T1^9*T2^7 + 242*T1^10*T2^7 - 363*T1^11*T2^7 + 
     139*T1^12*T2^7 - 81*T1^13*T2^7 + 75*T1^14*T2^7 + 25*T1^15*T2^7 + 
     8*T1^16*T2^7 - 54*T1^17*T2^7 - 40*T2^8 - 56*T1*T2^8 - 69*T1^2*T2^8 + 
     86*T1^3*T2^8 - 333*T1^4*T2^8 + 259*T1^5*T2^8 - 579*T1^6*T2^8 + 
     182*T1^7*T2^8 - 275*T1^8*T2^8 - 207*T1^9*T2^8 - 447*T1^10*T2^8 + 
     246*T1^11*T2^8 + 357*T1^12*T2^8 - 153*T1^13*T2^8 + 195*T1^14*T2^8 - 
     150*T1^15*T2^8 + 43*T1^16*T2^8 + 56*T1^17*T2^8 + 40*T1^18*T2^8 + 
     16*T2^9 + 56*T1*T2^9 + 46*T1^2*T2^9 - 39*T1^3*T2^9 + 61*T1^4*T2^9 + 
     158*T1^5*T2^9 - 171*T1^6*T2^9 + 438*T1^7*T2^9 - 207*T1^8*T2^9 - 
     204*T1^9*T2^9 + 950*T1^10*T2^9 - 667*T1^11*T2^9 - 202*T1^12*T2^9 - 
     267*T1^13*T2^9 - 148*T1^14*T2^9 + 27*T1^15*T2^9 + 5*T1^16*T2^9 - 
     94*T1^17*T2^9 - 80*T1^18*T2^9 - 20*T1^19*T2^9 - 4*T2^10 - 32*T1*T2^10 - 
     50*T1^2*T2^10 + 56*T1^3*T2^10 + 13*T1^4*T2^10 - 47*T1^5*T2^10 - 
     35*T1^6*T2^10 + 242*T1^7*T2^10 - 447*T1^8*T2^10 + 950*T1^9*T2^10 - 
     432*T1^10*T2^10 - 474*T1^11*T2^10 + 1581*T1^12*T2^10 - 538*T1^13*T2^10 + 
     953*T1^14*T2^10 - 257*T1^15*T2^10 + 137*T1^16*T2^10 + 52*T1^17*T2^10 + 
     138*T1^18*T2^10 + 56*T1^19*T2^10 + 6*T1^20*T2^10 + 12*T1*T2^11 + 
     32*T1^2*T2^11 - 14*T1^3*T2^11 - 115*T1^4*T2^11 - 5*T1^5*T2^11 + 
     56*T1^6*T2^11 - 363*T1^7*T2^11 + 246*T1^8*T2^11 - 667*T1^9*T2^11 - 
     474*T1^10*T2^11 + 680*T1^11*T2^11 - 1127*T1^12*T2^11 - 394*T1^13*T2^11 - 
     459*T1^14*T2^11 - 250*T1^15*T2^11 - 39*T1^16*T2^11 - 71*T1^17*T2^11 - 
     154*T1^18*T2^11 - 104*T1^19*T2^11 - 24*T1^20*T2^11 - 20*T1^2*T2^12 + 
     8*T1^3*T2^12 + 75*T1^4*T2^12 + 130*T1^5*T2^12 - 29*T1^6*T2^12 + 
     139*T1^7*T2^12 + 357*T1^8*T2^12 - 202*T1^9*T2^12 + 1581*T1^10*T2^12 - 
     1127*T1^11*T2^12 + 1409*T1^12*T2^12 - 138*T1^13*T2^12 + 
     1293*T1^14*T2^12 - 273*T1^15*T2^12 + 499*T1^16*T2^12 - 106*T1^17*T2^12 + 
     187*T1^18*T2^12 + 120*T1^19*T2^12 + 60*T1^20*T2^12 + 18*T1^3*T2^13 - 
     72*T1^4*T2^13 - 87*T1^5*T2^13 - 77*T1^6*T2^13 - 81*T1^7*T2^13 - 
     153*T1^8*T2^13 - 267*T1^9*T2^13 - 538*T1^10*T2^13 - 394*T1^11*T2^13 - 
     138*T1^12*T2^13 - 406*T1^13*T2^13 - 939*T1^14*T2^13 - 41*T1^15*T2^13 - 
     357*T1^16*T2^13 + 3*T1^17*T2^13 - 137*T1^18*T2^13 - 88*T1^19*T2^13 - 
     108*T1^20*T2^13 + 116*T1^5*T2^14 + 26*T1^6*T2^14 + 75*T1^7*T2^14 + 
     195*T1^8*T2^14 - 148*T1^9*T2^14 + 953*T1^10*T2^14 - 459*T1^11*T2^14 + 
     1293*T1^12*T2^14 - 939*T1^13*T2^14 + 1573*T1^14*T2^14 - 
     352*T1^15*T2^14 + 579*T1^16*T2^14 - 173*T1^17*T2^14 + 250*T1^18*T2^14 - 
     44*T1^19*T2^14 + 156*T1^20*T2^14 - 29*T1^5*T2^15 - 92*T1^6*T2^15 + 
     25*T1^7*T2^15 - 150*T1^8*T2^15 + 27*T1^9*T2^15 - 257*T1^10*T2^15 - 
     250*T1^11*T2^15 - 273*T1^12*T2^15 - 41*T1^13*T2^15 - 352*T1^14*T2^15 - 
     227*T1^15*T2^15 - 335*T1^16*T2^15 + 240*T1^17*T2^15 - 357*T1^18*T2^15 + 
     176*T1^19*T2^15 - 174*T1^20*T2^15 + 52*T1^6*T2^16 + 8*T1^7*T2^16 + 
     43*T1^8*T2^16 + 5*T1^9*T2^16 + 137*T1^10*T2^16 - 39*T1^11*T2^16 + 
     499*T1^12*T2^16 - 357*T1^13*T2^16 + 579*T1^14*T2^16 - 335*T1^15*T2^16 + 
     721*T1^16*T2^16 - 571*T1^17*T2^16 + 507*T1^18*T2^16 - 264*T1^19*T2^16 + 
     156*T1^20*T2^16 - 54*T1^7*T2^17 + 56*T1^8*T2^17 - 94*T1^9*T2^17 + 
     52*T1^10*T2^17 - 71*T1^11*T2^17 - 106*T1^12*T2^17 + 3*T1^13*T2^17 - 
     173*T1^14*T2^17 + 240*T1^15*T2^17 - 571*T1^16*T2^17 + 518*T1^17*T2^17 - 
     434*T1^18*T2^17 + 232*T1^19*T2^17 - 108*T1^20*T2^17 + 40*T1^8*T2^18 - 
     80*T1^9*T2^18 + 138*T1^10*T2^18 - 154*T1^11*T2^18 + 187*T1^12*T2^18 - 
     137*T1^13*T2^18 + 250*T1^14*T2^18 - 357*T1^15*T2^18 + 507*T1^16*T2^18 - 
     434*T1^17*T2^18 + 318*T1^18*T2^18 - 160*T1^19*T2^18 + 60*T1^20*T2^18 - 
     20*T1^9*T2^19 + 56*T1^10*T2^19 - 104*T1^11*T2^19 + 120*T1^12*T2^19 - 
     88*T1^13*T2^19 - 44*T1^14*T2^19 + 176*T1^15*T2^19 - 264*T1^16*T2^19 + 
     232*T1^17*T2^19 - 160*T1^18*T2^19 + 76*T1^19*T2^19 - 24*T1^20*T2^19 + 
     6*T1^10*T2^20 - 24*T1^11*T2^20 + 60*T1^12*T2^20 - 108*T1^13*T2^20 + 
     156*T1^14*T2^20 - 174*T1^15*T2^20 + 156*T1^16*T2^20 - 108*T1^17*T2^20 + 
     60*T1^18*T2^20 - 24*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1227] -> 
  {(1 - 5*T + 13*T^2 - 24*T^3 + 34*T^4 - 37*T^5 + 34*T^6 - 24*T^7 + 13*T^8 - 
     5*T^9 + T^10)/T^5, (-4 + 20*T1 - 52*T1^2 + 96*T1^3 - 136*T1^4 + 
     148*T1^5 - 136*T1^6 + 96*T1^7 - 52*T1^8 + 20*T1^9 - 4*T1^10 + 20*T2 - 
     85*T1*T2 + 185*T1^2*T2 - 285*T1^3*T2 + 320*T1^4*T2 - 230*T1^5*T2 + 
     125*T1^6*T2 + 30*T1^7*T2 - 100*T1^8*T2 + 95*T1^9*T2 - 55*T1^10*T2 + 
     15*T1^11*T2 - 52*T2^2 + 185*T1*T2^2 - 328*T1^2*T2^2 + 408*T1^3*T2^2 - 
     319*T1^4*T2^2 + 22*T1^5*T2^2 + 92*T1^6*T2^2 - 316*T1^7*T2^2 + 
     227*T1^8*T2^2 - 86*T1^9*T2^2 - 16*T1^10*T2^2 + 55*T1^11*T2^2 - 
     26*T1^12*T2^2 + 96*T2^3 - 285*T1*T2^3 + 408*T1^2*T2^3 - 415*T1^3*T2^3 + 
     193*T1^4*T2^3 + 218*T1^5*T2^3 - 74*T1^6*T2^3 + 365*T1^7*T2^3 + 
     48*T1^8*T2^3 - 210*T1^9*T2^3 + 215*T1^10*T2^3 - 138*T1^11*T2^3 + 
     10*T1^12*T2^3 + 24*T1^13*T2^3 - 136*T2^4 + 320*T1*T2^4 - 319*T1^2*T2^4 + 
     193*T1^3*T2^4 + 174*T1^4*T2^4 - 624*T1^5*T2^4 + 124*T1^6*T2^4 - 
     700*T1^7*T2^4 - 140*T1^8*T2^4 + 64*T1^9*T2^4 + 102*T1^10*T2^4 - 
     191*T1^11*T2^4 + 249*T1^12*T2^4 - 120*T1^13*T2^4 + 148*T2^5 - 
     230*T1*T2^5 + 22*T1^2*T2^5 + 218*T1^3*T2^5 - 624*T1^4*T2^5 + 
     909*T1^5*T2^5 - 6*T1^6*T2^5 + 988*T1^7*T2^5 + 405*T1^8*T2^5 + 
     183*T1^9*T2^5 - 407*T1^10*T2^5 + 220*T1^11*T2^5 - 100*T1^12*T2^5 - 
     145*T1^13*T2^5 + 185*T1^14*T2^5 - 37*T1^15*T2^5 - 136*T2^6 + 
     125*T1*T2^6 + 92*T1^2*T2^6 - 74*T1^3*T2^6 + 124*T1^4*T2^6 - 
     6*T1^5*T2^6 - 1013*T1^6*T2^6 - 656*T1^7*T2^6 - 967*T1^8*T2^6 - 
     484*T1^9*T2^6 + 603*T1^10*T2^6 + 70*T1^11*T2^6 - 92*T1^12*T2^6 + 
     230*T1^13*T2^6 - 72*T1^14*T2^6 - 155*T1^15*T2^6 + 68*T1^16*T2^6 + 
     96*T2^7 + 30*T1*T2^7 - 316*T1^2*T2^7 + 365*T1^3*T2^7 - 700*T1^4*T2^7 + 
     988*T1^5*T2^7 - 656*T1^6*T2^7 + 2793*T1^7*T2^7 - 604*T1^8*T2^7 + 
     2064*T1^9*T2^7 - 1335*T1^10*T2^7 - 153*T1^11*T2^7 - 309*T1^12*T2^7 + 
     125*T1^13*T2^7 - 254*T1^14*T2^7 + 307*T1^15*T2^7 + 20*T1^16*T2^7 - 
     72*T1^17*T2^7 - 52*T2^8 - 100*T1*T2^8 + 227*T1^2*T2^8 + 48*T1^3*T2^8 - 
     140*T1^4*T2^8 + 405*T1^5*T2^8 - 967*T1^6*T2^8 - 604*T1^7*T2^8 - 
     1694*T1^8*T2^8 - 284*T1^9*T2^8 - 86*T1^10*T2^8 + 1380*T1^11*T2^8 + 
     529*T1^12*T2^8 - 83*T1^13*T2^8 + 220*T1^14*T2^8 - 152*T1^15*T2^8 - 
     253*T1^16*T2^8 + 100*T1^17*T2^8 + 52*T1^18*T2^8 + 20*T2^9 + 95*T1*T2^9 - 
     86*T1^2*T2^9 - 210*T1^3*T2^9 + 64*T1^4*T2^9 + 183*T1^5*T2^9 - 
     484*T1^6*T2^9 + 2064*T1^7*T2^9 - 284*T1^8*T2^9 + 1810*T1^9*T2^9 - 
     1056*T1^10*T2^9 - 898*T1^11*T2^9 - 1972*T1^12*T2^9 + 337*T1^13*T2^9 - 
     458*T1^14*T2^9 + 156*T1^15*T2^9 + 307*T1^16*T2^9 + 44*T1^17*T2^9 - 
     135*T1^18*T2^9 - 25*T1^19*T2^9 - 4*T2^10 - 55*T1*T2^10 - 16*T1^2*T2^10 + 
     215*T1^3*T2^10 + 102*T1^4*T2^10 - 407*T1^5*T2^10 + 603*T1^6*T2^10 - 
     1335*T1^7*T2^10 - 86*T1^8*T2^10 - 1056*T1^9*T2^10 + 1248*T1^10*T2^10 + 
     356*T1^11*T2^10 + 3530*T1^12*T2^10 - 189*T1^13*T2^10 + 467*T1^14*T2^10 + 
     79*T1^15*T2^10 - 384*T1^16*T2^10 - 191*T1^17*T2^10 + 128*T1^18*T2^10 + 
     95*T1^19*T2^10 + 6*T1^20*T2^10 + 15*T1*T2^11 + 55*T1^2*T2^11 - 
     138*T1^3*T2^11 - 191*T1^4*T2^11 + 220*T1^5*T2^11 + 70*T1^6*T2^11 - 
     153*T1^7*T2^11 + 1380*T1^8*T2^11 - 898*T1^9*T2^11 + 356*T1^10*T2^11 - 
     2510*T1^11*T2^11 - 1512*T1^12*T2^11 - 2656*T1^13*T2^11 + 
     668*T1^14*T2^11 - 571*T1^15*T2^11 + 312*T1^16*T2^11 + 326*T1^17*T2^11 - 
     8*T1^18*T2^11 - 175*T1^19*T2^11 - 30*T1^20*T2^11 - 26*T1^2*T2^12 + 
     10*T1^3*T2^12 + 249*T1^4*T2^12 - 100*T1^5*T2^12 - 92*T1^6*T2^12 - 
     309*T1^7*T2^12 + 529*T1^8*T2^12 - 1972*T1^9*T2^12 + 3530*T1^10*T2^12 - 
     1512*T1^11*T2^12 + 5138*T1^12*T2^12 + 12*T1^13*T2^12 + 
     2025*T1^14*T2^12 - 797*T1^15*T2^12 + 268*T1^16*T2^12 - 300*T1^17*T2^12 - 
     231*T1^18*T2^12 + 210*T1^19*T2^12 + 78*T1^20*T2^12 + 24*T1^3*T2^13 - 
     120*T1^4*T2^13 - 145*T1^5*T2^13 + 230*T1^6*T2^13 + 125*T1^7*T2^13 - 
     83*T1^8*T2^13 + 337*T1^9*T2^13 - 189*T1^10*T2^13 - 2656*T1^11*T2^13 + 
     12*T1^12*T2^13 - 4317*T1^13*T2^13 + 840*T1^14*T2^13 - 1380*T1^15*T2^13 + 
     950*T1^16*T2^13 - 389*T1^17*T2^13 + 478*T1^18*T2^13 - 130*T1^19*T2^13 - 
     144*T1^20*T2^13 + 185*T1^5*T2^14 - 72*T1^6*T2^14 - 254*T1^7*T2^14 + 
     220*T1^8*T2^14 - 458*T1^9*T2^14 + 467*T1^10*T2^14 + 668*T1^11*T2^14 + 
     2025*T1^12*T2^14 + 840*T1^13*T2^14 + 2083*T1^14*T2^14 - 
     382*T1^15*T2^14 + 4*T1^16*T2^14 + 50*T1^17*T2^14 - 236*T1^18*T2^14 - 
     95*T1^19*T2^14 + 204*T1^20*T2^14 - 37*T1^5*T2^15 - 155*T1^6*T2^15 + 
     307*T1^7*T2^15 - 152*T1^8*T2^15 + 156*T1^9*T2^15 + 79*T1^10*T2^15 - 
     571*T1^11*T2^15 - 797*T1^12*T2^15 - 1380*T1^13*T2^15 - 382*T1^14*T2^15 - 
     1237*T1^15*T2^15 + 1000*T1^16*T2^15 - 470*T1^17*T2^15 + 
     140*T1^18*T2^15 + 260*T1^19*T2^15 - 222*T1^20*T2^15 + 68*T1^6*T2^16 + 
     20*T1^7*T2^16 - 253*T1^8*T2^16 + 307*T1^9*T2^16 - 384*T1^10*T2^16 + 
     312*T1^11*T2^16 + 268*T1^12*T2^16 + 950*T1^13*T2^16 + 4*T1^14*T2^16 + 
     1000*T1^15*T2^16 - 456*T1^16*T2^16 - 77*T1^17*T2^16 + 315*T1^18*T2^16 - 
     420*T1^19*T2^16 + 204*T1^20*T2^16 - 72*T1^7*T2^17 + 100*T1^8*T2^17 + 
     44*T1^9*T2^17 - 191*T1^10*T2^17 + 326*T1^11*T2^17 - 300*T1^12*T2^17 - 
     389*T1^13*T2^17 + 50*T1^14*T2^17 - 470*T1^15*T2^17 - 77*T1^16*T2^17 + 
     439*T1^17*T2^17 - 502*T1^18*T2^17 + 395*T1^19*T2^17 - 144*T1^20*T2^17 + 
     52*T1^8*T2^18 - 135*T1^9*T2^18 + 128*T1^10*T2^18 - 8*T1^11*T2^18 - 
     231*T1^12*T2^18 + 478*T1^13*T2^18 - 236*T1^14*T2^18 + 140*T1^15*T2^18 + 
     315*T1^16*T2^18 - 502*T1^17*T2^18 + 440*T1^18*T2^18 - 265*T1^19*T2^18 + 
     78*T1^20*T2^18 - 25*T1^9*T2^19 + 95*T1^10*T2^19 - 175*T1^11*T2^19 + 
     210*T1^12*T2^19 - 130*T1^13*T2^19 - 95*T1^14*T2^19 + 260*T1^15*T2^19 - 
     420*T1^16*T2^19 + 395*T1^17*T2^19 - 265*T1^18*T2^19 + 125*T1^19*T2^19 - 
     30*T1^20*T2^19 + 6*T1^10*T2^20 - 30*T1^11*T2^20 + 78*T1^12*T2^20 - 
     144*T1^13*T2^20 + 204*T1^14*T2^20 - 222*T1^15*T2^20 + 204*T1^16*T2^20 - 
     144*T1^17*T2^20 + 78*T1^18*T2^20 - 30*T1^19*T2^20 + 6*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1228] -> 
  {(2 - 10*T + 24*T^2 - 39*T^3 + 47*T^4 - 39*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 155*T1 - 372*T1^2 + 605*T1^3 - 729*T1^4 + 605*T1^5 - 
     372*T1^6 + 155*T1^7 - 31*T1^8 + 155*T2 - 660*T1*T2 + 1285*T1^2*T2 - 
     1645*T1^3*T2 + 1400*T1^4*T2 - 320*T1^5*T2 - 385*T1^6*T2 + 605*T1^7*T2 - 
     420*T1^8*T2 + 115*T1^9*T2 - 372*T2^2 + 1285*T1*T2^2 - 1769*T1^2*T2^2 + 
     1256*T1^3*T2^2 + 337*T1^4*T2^2 - 2781*T1^5*T2^2 + 2545*T1^6*T2^2 - 
     1528*T1^7*T2^2 + 343*T1^8*T2^2 + 325*T1^9*T2^2 - 180*T1^10*T2^2 + 
     605*T2^3 - 1645*T1*T2^3 + 1256*T1^2*T2^3 + 420*T1^3*T2^3 - 
     2686*T1^4*T2^3 + 4777*T1^5*T2^3 - 1121*T1^6*T2^3 - 904*T1^7*T2^3 + 
     1854*T1^8*T2^3 - 1480*T1^9*T2^3 + 215*T1^10*T2^3 + 137*T1^11*T2^3 - 
     729*T2^4 + 1400*T1*T2^4 + 337*T1^2*T2^4 - 2686*T1^3*T2^4 + 
     4366*T1^4*T2^4 - 4656*T1^5*T2^4 - 2340*T1^6*T2^4 + 2380*T1^7*T2^4 - 
     1334*T1^8*T2^4 - 190*T1^9*T2^4 + 1561*T1^10*T2^4 - 800*T1^11*T2^4 + 
     23*T1^12*T2^4 + 605*T2^5 - 320*T1*T2^5 - 2781*T1^2*T2^5 + 
     4777*T1^3*T2^5 - 4656*T1^4*T2^5 + 2744*T1^5*T2^5 + 4869*T1^6*T2^5 - 
     57*T1^7*T2^5 - 2668*T1^8*T2^5 + 3000*T1^9*T2^5 - 2621*T1^10*T2^5 + 
     87*T1^11*T2^5 + 760*T1^12*T2^5 - 175*T1^13*T2^5 - 372*T2^6 - 
     385*T1*T2^6 + 2545*T1^2*T2^6 - 1121*T1^3*T2^6 - 2340*T1^4*T2^6 + 
     4869*T1^5*T2^6 - 8064*T1^6*T2^6 - 2542*T1^7*T2^6 + 4920*T1^8*T2^6 - 
     1587*T1^9*T2^6 - 12*T1^10*T2^6 + 2527*T1^11*T2^6 - 1631*T1^12*T2^6 - 
     145*T1^13*T2^6 + 204*T1^14*T2^6 + 155*T2^7 + 605*T1*T2^7 - 
     1528*T1^2*T2^7 - 904*T1^3*T2^7 + 2380*T1^4*T2^7 - 57*T1^5*T2^7 - 
     2542*T1^6*T2^7 + 11901*T1^7*T2^7 - 7953*T1^8*T2^7 - 1279*T1^9*T2^7 + 
     1809*T1^10*T2^7 - 2796*T1^11*T2^7 + 170*T1^12*T2^7 + 1496*T1^13*T2^7 - 
     395*T1^14*T2^7 - 125*T1^15*T2^7 - 31*T2^8 - 420*T1*T2^8 + 
     343*T1^2*T2^8 + 1854*T1^3*T2^8 - 1334*T1^4*T2^8 - 2668*T1^5*T2^8 + 
     4920*T1^6*T2^8 - 7953*T1^7*T2^8 + 528*T1^8*T2^8 + 8077*T1^9*T2^8 - 
     2250*T1^10*T2^8 + 1352*T1^11*T2^8 + 1646*T1^12*T2^8 - 1950*T1^13*T2^8 - 
     281*T1^14*T2^8 + 460*T1^15*T2^8 + 33*T1^16*T2^8 + 115*T1*T2^9 + 
     325*T1^2*T2^9 - 1480*T1^3*T2^9 - 190*T1^4*T2^9 + 3000*T1^5*T2^9 - 
     1587*T1^6*T2^9 - 1279*T1^7*T2^9 + 8077*T1^8*T2^9 - 11777*T1^9*T2^9 - 
     16*T1^10*T2^9 + 279*T1^11*T2^9 - 2176*T1^12*T2^9 + 884*T1^13*T2^9 + 
     1544*T1^14*T2^9 - 675*T1^15*T2^9 - 165*T1^16*T2^9 - 180*T1^2*T2^10 + 
     215*T1^3*T2^10 + 1561*T1^4*T2^10 - 2621*T1^5*T2^10 - 12*T1^6*T2^10 + 
     1809*T1^7*T2^10 - 2250*T1^8*T2^10 - 16*T1^9*T2^10 + 10734*T1^10*T2^10 - 
     4647*T1^11*T2^10 + 2316*T1^12*T2^10 + 1027*T1^13*T2^10 - 
     2615*T1^14*T2^10 + 455*T1^15*T2^10 + 396*T1^16*T2^10 + 137*T1^3*T2^11 - 
     800*T1^4*T2^11 + 87*T1^5*T2^11 + 2527*T1^6*T2^11 - 2796*T1^7*T2^11 + 
     1352*T1^8*T2^11 + 279*T1^9*T2^11 - 4647*T1^10*T2^11 - 4060*T1^11*T2^11 + 
     4860*T1^12*T2^11 - 4871*T1^13*T2^11 + 2955*T1^14*T2^11 + 
     280*T1^15*T2^11 - 643*T1^16*T2^11 + 23*T1^4*T2^12 + 760*T1^5*T2^12 - 
     1631*T1^6*T2^12 + 170*T1^7*T2^12 + 1646*T1^8*T2^12 - 2176*T1^9*T2^12 + 
     2316*T1^10*T2^12 + 4860*T1^11*T2^12 - 4054*T1^12*T2^12 + 
     2666*T1^13*T2^12 - 407*T1^14*T2^12 - 1440*T1^15*T2^12 + 
     775*T1^16*T2^12 - 175*T1^5*T2^13 - 145*T1^6*T2^13 + 1496*T1^7*T2^13 - 
     1950*T1^8*T2^13 + 884*T1^9*T2^13 + 1027*T1^10*T2^13 - 4871*T1^11*T2^13 + 
     2666*T1^12*T2^13 - 516*T1^13*T2^13 - 1240*T1^14*T2^13 + 
     1715*T1^15*T2^13 - 643*T1^16*T2^13 + 204*T1^6*T2^14 - 395*T1^7*T2^14 - 
     281*T1^8*T2^14 + 1544*T1^9*T2^14 - 2615*T1^10*T2^14 + 2955*T1^11*T2^14 - 
     407*T1^12*T2^14 - 1240*T1^13*T2^14 + 1831*T1^14*T2^14 - 
     1355*T1^15*T2^14 + 396*T1^16*T2^14 - 125*T1^7*T2^15 + 460*T1^8*T2^15 - 
     675*T1^9*T2^15 + 455*T1^10*T2^15 + 280*T1^11*T2^15 - 1440*T1^12*T2^15 + 
     1715*T1^13*T2^15 - 1355*T1^14*T2^15 + 700*T1^15*T2^15 - 
     165*T1^16*T2^15 + 33*T1^8*T2^16 - 165*T1^9*T2^16 + 396*T1^10*T2^16 - 
     643*T1^11*T2^16 + 775*T1^12*T2^16 - 643*T1^13*T2^16 + 396*T1^14*T2^16 - 
     165*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1229] -> 
  {-(((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(1 - 2*T + 3*T^2 - 5*T^3 + 3*T^4 - 
       2*T^5 + T^6))/T^5), -(((1 - 3*T1 + 5*T1^2 - 3*T1^3 + T1^4)*
      (1 - 2*T1 + 3*T1^2 - 5*T1^3 + 3*T1^4 - 2*T1^5 + T1^6)*(1 + T1*T2)*
      (1 - 3*T2 + 5*T2^2 - 3*T2^3 + T2^4)*(1 - 2*T2 + 3*T2^2 - 5*T2^3 + 
       3*T2^4 - 2*T2^5 + T2^6)*(5 - 20*T1*T2 + 47*T1^2*T2^2 - 74*T1^3*T2^3 + 
       87*T1^4*T2^4 - 74*T1^5*T2^5 + 47*T1^6*T2^6 - 20*T1^7*T2^7 + 
       5*T1^8*T2^8))/(T1^11*T2^10))}, Knot[12, Alternating, 1230] -> 
  {(1 - 5*T + 14*T^2 - 27*T^3 + 39*T^4 - 43*T^5 + 39*T^6 - 27*T^7 + 14*T^8 - 
     5*T^9 + T^10)/T^5, (-6 + 30*T1 - 84*T1^2 + 162*T1^3 - 234*T1^4 + 
     258*T1^5 - 234*T1^6 + 162*T1^7 - 84*T1^8 + 30*T1^9 - 6*T1^10 + 30*T2 - 
     125*T1*T2 + 295*T1^2*T2 - 460*T1^3*T2 + 495*T1^4*T2 - 315*T1^5*T2 + 
     95*T1^6*T2 + 165*T1^7*T2 - 255*T1^8*T2 + 200*T1^9*T2 - 95*T1^10*T2 + 
     25*T1^11*T2 - 84*T2^2 + 295*T1*T2^2 - 605*T1^2*T2^2 + 790*T1^3*T2^2 - 
     665*T1^4*T2^2 + 213*T1^5*T2^2 - 39*T1^6*T2^2 - 235*T1^7*T2^2 + 
     35*T1^8*T2^2 + 174*T1^9*T2^2 - 241*T1^10*T2^2 + 155*T1^11*T2^2 - 
     56*T1^12*T2^2 + 162*T2^3 - 460*T1*T2^3 + 790*T1^2*T2^3 - 769*T1^3*T2^3 + 
     335*T1^4*T2^3 + 323*T1^5*T2^3 - 40*T1^6*T2^3 + 354*T1^7*T2^3 + 
     320*T1^8*T2^3 - 359*T1^9*T2^3 + 169*T1^10*T2^3 + 76*T1^11*T2^3 - 
     125*T1^12*T2^3 + 81*T1^13*T2^3 - 234*T2^4 + 495*T1*T2^4 - 
     665*T1^2*T2^4 + 335*T1^3*T2^4 + 157*T1^4*T2^4 - 480*T1^5*T2^4 - 
     786*T1^6*T2^4 + 83*T1^7*T2^4 - 1206*T1^8*T2^4 + 342*T1^9*T2^4 + 
     145*T1^10*T2^4 - 367*T1^11*T2^4 + 169*T1^12*T2^4 - 15*T1^13*T2^4 - 
     78*T1^14*T2^4 + 258*T2^5 - 315*T1*T2^5 + 213*T1^2*T2^5 + 323*T1^3*T2^5 - 
     480*T1^4*T2^5 + 168*T1^5*T2^5 + 1753*T1^6*T2^5 + 190*T1^7*T2^5 + 
     1391*T1^8*T2^5 + 690*T1^9*T2^5 - 614*T1^10*T2^5 + 333*T1^11*T2^5 + 
     206*T1^12*T2^5 - 250*T1^13*T2^5 + 175*T1^14*T2^5 + 43*T1^15*T2^5 - 
     234*T2^6 + 95*T1*T2^6 - 39*T1^2*T2^6 - 40*T1^3*T2^6 - 786*T1^4*T2^6 + 
     1753*T1^5*T2^6 - 3380*T1^6*T2^6 - 332*T1^7*T2^6 - 1834*T1^8*T2^6 - 
     1452*T1^9*T2^6 + 132*T1^10*T2^6 + 347*T1^11*T2^6 - 684*T1^12*T2^6 + 
     222*T1^13*T2^6 + 29*T1^14*T2^6 - 215*T1^15*T2^6 + 162*T2^7 + 
     165*T1*T2^7 - 235*T1^2*T2^7 + 354*T1^3*T2^7 + 83*T1^4*T2^7 + 
     190*T1^5*T2^7 - 332*T1^6*T2^7 + 4767*T1^7*T2^7 - 475*T1^8*T2^7 + 
     3059*T1^9*T2^7 + 603*T1^10*T2^7 - 1094*T1^11*T2^7 + 853*T1^12*T2^7 + 
     71*T1^13*T2^7 - 216*T1^14*T2^7 + 188*T1^15*T2^7 + 135*T1^16*T2^7 - 
     27*T1^17*T2^7 - 84*T2^8 - 255*T1*T2^8 + 35*T1^2*T2^8 + 320*T1^3*T2^8 - 
     1206*T1^4*T2^8 + 1391*T1^5*T2^8 - 1834*T1^6*T2^8 - 475*T1^7*T2^8 - 
     5511*T1^8*T2^8 + 2025*T1^9*T2^8 - 4427*T1^10*T2^8 + 2339*T1^11*T2^8 - 
     388*T1^12*T2^8 - 617*T1^13*T2^8 + 258*T1^14*T2^8 + 38*T1^15*T2^8 - 
     263*T1^16*T2^8 - 5*T1^17*T2^8 + 28*T1^18*T2^8 + 30*T2^9 + 200*T1*T2^9 + 
     174*T1^2*T2^9 - 359*T1^3*T2^9 + 342*T1^4*T2^9 + 690*T1^5*T2^9 - 
     1452*T1^6*T2^9 + 3059*T1^7*T2^9 + 2025*T1^8*T2^9 + 2301*T1^9*T2^9 - 
     229*T1^10*T2^9 + 1336*T1^11*T2^9 - 1915*T1^12*T2^9 + 742*T1^13*T2^9 + 
     381*T1^14*T2^9 - 525*T1^15*T2^9 + 287*T1^16*T2^9 + 104*T1^17*T2^9 - 
     65*T1^18*T2^9 - 15*T1^19*T2^9 - 6*T2^10 - 95*T1*T2^10 - 241*T1^2*T2^10 + 
     169*T1^3*T2^10 + 145*T1^4*T2^10 - 614*T1^5*T2^10 + 132*T1^6*T2^10 + 
     603*T1^7*T2^10 - 4427*T1^8*T2^10 - 229*T1^9*T2^10 - 1068*T1^10*T2^10 + 
     677*T1^11*T2^10 + 243*T1^12*T2^10 + 1449*T1^13*T2^10 - 
     1400*T1^14*T2^10 + 618*T1^15*T2^10 + 61*T1^16*T2^10 - 265*T1^17*T2^10 + 
     75*T1^18*T2^10 + 55*T1^19*T2^10 + 4*T1^20*T2^10 + 25*T1*T2^11 + 
     155*T1^2*T2^11 + 76*T1^3*T2^11 - 367*T1^4*T2^11 + 333*T1^5*T2^11 + 
     347*T1^6*T2^11 - 1094*T1^7*T2^11 + 2339*T1^8*T2^11 + 1336*T1^9*T2^11 + 
     677*T1^10*T2^11 - 1853*T1^11*T2^11 + 647*T1^12*T2^11 - 
     2635*T1^13*T2^11 + 1100*T1^14*T2^11 + 38*T1^15*T2^11 - 534*T1^16*T2^11 + 
     279*T1^17*T2^11 + 6*T1^18*T2^11 - 110*T1^19*T2^11 - 20*T1^20*T2^11 - 
     56*T1^2*T2^12 - 125*T1^3*T2^12 + 169*T1^4*T2^12 + 206*T1^5*T2^12 - 
     684*T1^6*T2^12 + 853*T1^7*T2^12 - 388*T1^8*T2^12 - 1915*T1^9*T2^12 + 
     243*T1^10*T2^12 + 647*T1^11*T2^12 + 1327*T1^12*T2^12 + 899*T1^13*T2^12 + 
     1058*T1^14*T2^12 - 1155*T1^15*T2^12 + 780*T1^16*T2^12 - 76*T1^17*T2^12 - 
     129*T1^18*T2^12 + 125*T1^19*T2^12 + 56*T1^20*T2^12 + 81*T1^3*T2^13 - 
     15*T1^4*T2^13 - 250*T1^5*T2^13 + 222*T1^6*T2^13 + 71*T1^7*T2^13 - 
     617*T1^8*T2^13 + 742*T1^9*T2^13 + 1449*T1^10*T2^13 - 2635*T1^11*T2^13 + 
     899*T1^12*T2^13 - 2715*T1^13*T2^13 - 20*T1^14*T2^13 + 46*T1^15*T2^13 + 
     59*T1^16*T2^13 - 348*T1^17*T2^13 + 173*T1^18*T2^13 - 45*T1^19*T2^13 - 
     108*T1^20*T2^13 - 78*T1^4*T2^14 + 175*T1^5*T2^14 + 29*T1^6*T2^14 - 
     216*T1^7*T2^14 + 258*T1^8*T2^14 + 381*T1^9*T2^14 - 1400*T1^10*T2^14 + 
     1100*T1^11*T2^14 + 1058*T1^12*T2^14 - 20*T1^13*T2^14 + 
     2112*T1^14*T2^14 - 1025*T1^15*T2^14 + 360*T1^16*T2^14 + 46*T1^17*T2^14 + 
     97*T1^18*T2^14 - 135*T1^19*T2^14 + 156*T1^20*T2^14 + 43*T1^5*T2^15 - 
     215*T1^6*T2^15 + 188*T1^7*T2^15 + 38*T1^8*T2^15 - 525*T1^9*T2^15 + 
     618*T1^10*T2^15 + 38*T1^11*T2^15 - 1155*T1^12*T2^15 + 46*T1^13*T2^15 - 
     1025*T1^14*T2^15 - 164*T1^15*T2^15 + 288*T1^16*T2^15 - 79*T1^17*T2^15 - 
     275*T1^18*T2^15 + 275*T1^19*T2^15 - 172*T1^20*T2^15 + 135*T1^7*T2^16 - 
     263*T1^8*T2^16 + 287*T1^9*T2^16 + 61*T1^10*T2^16 - 534*T1^11*T2^16 + 
     780*T1^12*T2^16 + 59*T1^13*T2^16 + 360*T1^14*T2^16 + 288*T1^15*T2^16 + 
     49*T1^16*T2^16 - 415*T1^17*T2^16 + 571*T1^18*T2^16 - 375*T1^19*T2^16 + 
     156*T1^20*T2^16 - 27*T1^7*T2^17 - 5*T1^8*T2^17 + 104*T1^9*T2^17 - 
     265*T1^10*T2^17 + 279*T1^11*T2^17 - 76*T1^12*T2^17 - 348*T1^13*T2^17 + 
     46*T1^14*T2^17 - 79*T1^15*T2^17 - 415*T1^16*T2^17 + 673*T1^17*T2^17 - 
     610*T1^18*T2^17 + 330*T1^19*T2^17 - 108*T1^20*T2^17 + 28*T1^8*T2^18 - 
     65*T1^9*T2^18 + 75*T1^10*T2^18 + 6*T1^11*T2^18 - 129*T1^12*T2^18 + 
     173*T1^13*T2^18 + 97*T1^14*T2^18 - 275*T1^15*T2^18 + 571*T1^16*T2^18 - 
     610*T1^17*T2^18 + 439*T1^18*T2^18 - 205*T1^19*T2^18 + 56*T1^20*T2^18 - 
     15*T1^9*T2^19 + 55*T1^10*T2^19 - 110*T1^11*T2^19 + 125*T1^12*T2^19 - 
     45*T1^13*T2^19 - 135*T1^14*T2^19 + 275*T1^15*T2^19 - 375*T1^16*T2^19 + 
     330*T1^17*T2^19 - 205*T1^18*T2^19 + 85*T1^19*T2^19 - 20*T1^20*T2^19 + 
     4*T1^10*T2^20 - 20*T1^11*T2^20 + 56*T1^12*T2^20 - 108*T1^13*T2^20 + 
     156*T1^14*T2^20 - 172*T1^15*T2^20 + 156*T1^16*T2^20 - 108*T1^17*T2^20 + 
     56*T1^18*T2^20 - 20*T1^19*T2^20 + 4*T1^20*T2^20)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, Alternating, 1231] -> 
  {-((1 - 5*T + 13*T^2 - 24*T^3 + 34*T^4 - 39*T^5 + 34*T^6 - 24*T^7 + 
      13*T^8 - 5*T^9 + T^10)/T^5), 
   -((-5 + 25*T1 - 65*T1^2 + 120*T1^3 - 170*T1^4 + 195*T1^5 - 170*T1^6 + 
      120*T1^7 - 65*T1^8 + 25*T1^9 - 5*T1^10 + 25*T2 - 105*T1*T2 + 
      225*T1^2*T2 - 340*T1^3*T2 + 370*T1^4*T2 - 295*T1^5*T2 + 70*T1^6*T2 + 
      80*T1^7*T2 - 155*T1^8*T2 + 135*T1^9*T2 - 75*T1^10*T2 + 20*T1^11*T2 - 
      65*T2^2 + 225*T1*T2^2 - 383*T1^2*T2^2 + 452*T1^3*T2^2 - 312*T1^4*T2^2 + 
      63*T1^5*T2^2 + 373*T1^6*T2^2 - 327*T1^7*T2^2 + 234*T1^8*T2^2 - 
      42*T1^9*T2^2 - 71*T1^10*T2^2 + 95*T1^11*T2^2 - 39*T1^12*T2^2 + 
      120*T2^3 - 340*T1*T2^3 + 452*T1^2*T2^3 - 423*T1^3*T2^3 + 
      134*T1^4*T2^3 + 109*T1^5*T2^3 - 584*T1^6*T2^3 - 15*T1^7*T2^3 + 
      83*T1^8*T2^3 - 269*T1^9*T2^3 + 207*T1^10*T2^3 - 94*T1^11*T2^3 - 
      45*T1^12*T2^3 + 48*T1^13*T2^3 - 170*T2^4 + 370*T1*T2^4 - 
      312*T1^2*T2^4 + 134*T1^3*T2^4 + 317*T1^4*T2^4 - 508*T1^5*T2^4 + 
      1066*T1^6*T2^4 + 141*T1^7*T2^4 + 322*T1^8*T2^4 - 92*T1^9*T2^4 + 
      245*T1^10*T2^4 - 250*T1^11*T2^4 + 256*T1^12*T2^4 - 70*T1^13*T2^4 - 
      34*T1^14*T2^4 + 195*T2^5 - 295*T1*T2^5 + 63*T1^2*T2^5 + 109*T1^3*T2^5 - 
      508*T1^4*T2^5 + 419*T1^5*T2^5 - 907*T1^6*T2^5 - 907*T1^7*T2^5 - 
      496*T1^8*T2^5 - 88*T1^9*T2^5 - 127*T1^10*T2^5 - 4*T1^11*T2^5 + 
      31*T1^12*T2^5 - 234*T1^13*T2^5 + 170*T1^14*T2^5 - 170*T2^6 + 
      70*T1*T2^6 + 373*T1^2*T2^6 - 584*T1^3*T2^6 + 1066*T1^4*T2^6 - 
      907*T1^5*T2^6 + 1421*T1^6*T2^6 + 690*T1^7*T2^6 + 1635*T1^8*T2^6 - 
      66*T1^9*T2^6 + 197*T1^10*T2^6 + 81*T1^11*T2^6 - 110*T1^12*T2^6 + 
      240*T1^13*T2^6 + 9*T1^14*T2^6 - 170*T1^15*T2^6 + 34*T1^16*T2^6 + 
      120*T2^7 + 80*T1*T2^7 - 327*T1^2*T2^7 - 15*T1^3*T2^7 + 141*T1^4*T2^7 - 
      907*T1^5*T2^7 + 690*T1^6*T2^7 - 2459*T1^7*T2^7 - 937*T1^8*T2^7 - 
      1161*T1^9*T2^7 + 355*T1^10*T2^7 - 149*T1^11*T2^7 + 82*T1^12*T2^7 - 
      48*T1^13*T2^7 - 244*T1^14*T2^7 + 218*T1^15*T2^7 + 70*T1^16*T2^7 - 
      48*T1^17*T2^7 - 65*T2^8 - 155*T1*T2^8 + 234*T1^2*T2^8 + 83*T1^3*T2^8 + 
      322*T1^4*T2^8 - 496*T1^5*T2^8 + 1635*T1^6*T2^8 - 937*T1^7*T2^8 + 
      3906*T1^8*T2^8 - 228*T1^9*T2^8 + 522*T1^10*T2^8 - 473*T1^11*T2^8 - 
      133*T1^12*T2^8 - 40*T1^13*T2^8 + 202*T1^14*T2^8 - 21*T1^15*T2^8 - 
      246*T1^16*T2^8 + 45*T1^17*T2^8 + 39*T1^18*T2^8 + 25*T2^9 + 
      135*T1*T2^9 - 42*T1^2*T2^9 - 269*T1^3*T2^9 - 92*T1^4*T2^9 - 
      88*T1^5*T2^9 - 66*T1^6*T2^9 - 1161*T1^7*T2^9 - 228*T1^8*T2^9 - 
      3154*T1^9*T2^9 + 1460*T1^10*T2^9 + 110*T1^11*T2^9 + 439*T1^12*T2^9 + 
      441*T1^13*T2^9 - 231*T1^14*T2^9 - 68*T1^15*T2^9 + 248*T1^16*T2^9 + 
      88*T1^17*T2^9 - 95*T1^18*T2^9 - 20*T1^19*T2^9 - 5*T2^10 - 75*T1*T2^10 - 
      71*T1^2*T2^10 + 207*T1^3*T2^10 + 245*T1^4*T2^10 - 127*T1^5*T2^10 + 
      197*T1^6*T2^10 + 355*T1^7*T2^10 + 522*T1^8*T2^10 + 1460*T1^9*T2^10 + 
      384*T1^10*T2^10 - 1752*T1^11*T2^10 - 470*T1^12*T2^10 - 
      527*T1^13*T2^10 - 339*T1^14*T2^10 + 339*T1^15*T2^10 - 241*T1^16*T2^10 - 
      199*T1^17*T2^10 + 73*T1^18*T2^10 + 75*T1^19*T2^10 + 5*T1^20*T2^10 + 
      20*T1*T2^11 + 95*T1^2*T2^11 - 94*T1^3*T2^11 - 250*T1^4*T2^11 - 
      4*T1^5*T2^11 + 81*T1^6*T2^11 - 149*T1^7*T2^11 - 473*T1^8*T2^11 + 
      110*T1^9*T2^11 - 1752*T1^10*T2^11 + 2862*T1^11*T2^11 + 
      448*T1^12*T2^11 + 1127*T1^13*T2^11 + 358*T1^14*T2^11 - 62*T1^15*T2^11 + 
      20*T1^16*T2^11 + 267*T1^17*T2^11 + 36*T1^18*T2^11 - 135*T1^19*T2^11 - 
      25*T1^20*T2^11 - 39*T1^2*T2^12 - 45*T1^3*T2^12 + 256*T1^4*T2^12 + 
      31*T1^5*T2^12 - 110*T1^6*T2^12 + 82*T1^7*T2^12 - 133*T1^8*T2^12 + 
      439*T1^9*T2^12 - 470*T1^10*T2^12 + 448*T1^11*T2^12 - 3854*T1^12*T2^12 + 
      903*T1^13*T2^12 - 1901*T1^14*T2^12 + 538*T1^15*T2^12 - 
      230*T1^16*T2^12 - 73*T1^17*T2^12 - 224*T1^18*T2^12 + 155*T1^19*T2^12 + 
      65*T1^20*T2^12 + 48*T1^3*T2^13 - 70*T1^4*T2^13 - 234*T1^5*T2^13 + 
      240*T1^6*T2^13 - 48*T1^7*T2^13 - 40*T1^8*T2^13 + 441*T1^9*T2^13 - 
      527*T1^10*T2^13 + 1127*T1^11*T2^13 + 903*T1^12*T2^13 + 
      2287*T1^13*T2^13 - 398*T1^14*T2^13 + 949*T1^15*T2^13 - 
      237*T1^16*T2^13 + 11*T1^17*T2^13 + 311*T1^18*T2^13 - 80*T1^19*T2^13 - 
      120*T1^20*T2^13 - 34*T1^4*T2^14 + 170*T1^5*T2^14 + 9*T1^6*T2^14 - 
      244*T1^7*T2^14 + 202*T1^8*T2^14 - 231*T1^9*T2^14 - 339*T1^10*T2^14 + 
      358*T1^11*T2^14 - 1901*T1^12*T2^14 - 398*T1^13*T2^14 - 
      1563*T1^14*T2^14 + 757*T1^15*T2^14 - 974*T1^16*T2^14 + 
      580*T1^17*T2^14 - 355*T1^18*T2^14 - 70*T1^19*T2^14 + 170*T1^20*T2^14 - 
      170*T1^6*T2^15 + 218*T1^7*T2^15 - 21*T1^8*T2^15 - 68*T1^9*T2^15 + 
      339*T1^10*T2^15 - 62*T1^11*T2^15 + 538*T1^12*T2^15 + 949*T1^13*T2^15 + 
      757*T1^14*T2^15 - 207*T1^15*T2^15 + 436*T1^16*T2^15 - 99*T1^17*T2^15 - 
      79*T1^18*T2^15 + 295*T1^19*T2^15 - 195*T1^20*T2^15 + 34*T1^6*T2^16 + 
      70*T1^7*T2^16 - 246*T1^8*T2^16 + 248*T1^9*T2^16 - 241*T1^10*T2^16 + 
      20*T1^11*T2^16 - 230*T1^12*T2^16 - 237*T1^13*T2^16 - 974*T1^14*T2^16 + 
      436*T1^15*T2^16 - 313*T1^16*T2^16 - 136*T1^17*T2^16 + 322*T1^18*T2^16 - 
      370*T1^19*T2^16 + 170*T1^20*T2^16 - 48*T1^7*T2^17 + 45*T1^8*T2^17 + 
      88*T1^9*T2^17 - 199*T1^10*T2^17 + 267*T1^11*T2^17 - 73*T1^12*T2^17 + 
      11*T1^13*T2^17 + 580*T1^14*T2^17 - 99*T1^15*T2^17 - 136*T1^16*T2^17 + 
      431*T1^17*T2^17 - 458*T1^18*T2^17 + 340*T1^19*T2^17 - 120*T1^20*T2^17 + 
      39*T1^8*T2^18 - 95*T1^9*T2^18 + 73*T1^10*T2^18 + 36*T1^11*T2^18 - 
      224*T1^12*T2^18 + 311*T1^13*T2^18 - 355*T1^14*T2^18 - 79*T1^15*T2^18 + 
      322*T1^16*T2^18 - 458*T1^17*T2^18 + 385*T1^18*T2^18 - 225*T1^19*T2^18 + 
      65*T1^20*T2^18 - 20*T1^9*T2^19 + 75*T1^10*T2^19 - 135*T1^11*T2^19 + 
      155*T1^12*T2^19 - 80*T1^13*T2^19 - 70*T1^14*T2^19 + 295*T1^15*T2^19 - 
      370*T1^16*T2^19 + 340*T1^17*T2^19 - 225*T1^18*T2^19 + 105*T1^19*T2^19 - 
      25*T1^20*T2^19 + 5*T1^10*T2^20 - 25*T1^11*T2^20 + 65*T1^12*T2^20 - 
      120*T1^13*T2^20 + 170*T1^14*T2^20 - 195*T1^15*T2^20 + 170*T1^16*T2^20 - 
      120*T1^17*T2^20 + 65*T1^18*T2^20 - 25*T1^19*T2^20 + 5*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1232] -> 
  {-((2 - 10*T + 24*T^2 - 37*T^3 + 41*T^4 - 37*T^5 + 24*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-39 + 195*T1 - 468*T1^2 + 721*T1^3 - 799*T1^4 + 721*T1^5 - 
      468*T1^6 + 195*T1^7 - 39*T1^8 + 195*T2 - 820*T1*T2 + 1565*T1^2*T2 - 
      1745*T1^3*T2 + 1130*T1^4*T2 - 430*T1^5*T2 - 525*T1^6*T2 + 885*T1^7*T2 - 
      580*T1^8*T2 + 155*T1^9*T2 - 468*T2^2 + 1565*T1*T2^2 - 2001*T1^2*T2^2 + 
      664*T1^3*T2^2 + 1565*T1^4*T2^2 - 2307*T1^5*T2^2 + 3197*T1^6*T2^2 - 
      1928*T1^7*T2^2 + 111*T1^8*T2^2 + 605*T1^9*T2^2 - 276*T1^10*T2^2 + 
      721*T2^3 - 1745*T1*T2^3 + 664*T1^2*T2^3 + 2588*T1^3*T2^3 - 
      4736*T1^4*T2^3 + 2781*T1^5*T2^3 - 2397*T1^6*T2^3 - 1418*T1^7*T2^3 + 
      3086*T1^8*T2^3 - 1784*T1^9*T2^3 - 5*T1^10*T2^3 + 277*T1^11*T2^3 - 
      799*T2^4 + 1130*T1*T2^4 + 1565*T1^2*T2^4 - 4736*T1^3*T2^4 + 
      3728*T1^4*T2^4 + 1764*T1^5*T2^4 - 1560*T1^6*T2^4 + 5488*T1^7*T2^4 - 
      3460*T1^8*T2^4 - 592*T1^9*T2^4 + 2037*T1^10*T2^4 - 670*T1^11*T2^4 - 
      143*T1^12*T2^4 + 721*T2^5 - 430*T1*T2^5 - 2307*T1^2*T2^5 + 
      2781*T1^3*T2^5 + 1764*T1^4*T2^5 - 7078*T1^5*T2^5 + 2589*T1^6*T2^5 - 
      4225*T1^7*T2^5 - 1210*T1^8*T2^5 + 4372*T1^9*T2^5 - 2393*T1^10*T2^5 - 
      663*T1^11*T2^5 + 810*T1^12*T2^5 - 19*T1^13*T2^5 - 468*T2^6 - 
      525*T1*T2^6 + 3197*T1^2*T2^6 - 2397*T1^3*T2^6 - 1560*T1^4*T2^6 + 
      2589*T1^5*T2^6 + 4938*T1^6*T2^6 - 1994*T1^7*T2^6 + 4770*T1^8*T2^6 - 
      3483*T1^9*T2^6 - 1216*T1^10*T2^6 + 2787*T1^11*T2^6 - 755*T1^12*T2^6 - 
      445*T1^13*T2^6 + 108*T1^14*T2^6 + 195*T2^7 + 885*T1*T2^7 - 
      1928*T1^2*T2^7 - 1418*T1^3*T2^7 + 5488*T1^4*T2^7 - 4225*T1^5*T2^7 - 
      1994*T1^6*T2^7 - 3239*T1^7*T2^7 + 1819*T1^8*T2^7 - 1881*T1^9*T2^7 + 
      4073*T1^10*T2^7 - 1584*T1^11*T2^7 - 1432*T1^12*T2^7 + 1384*T1^13*T2^7 - 
      115*T1^14*T2^7 - 85*T1^15*T2^7 - 39*T2^8 - 580*T1*T2^8 + 
      111*T1^2*T2^8 + 3086*T1^3*T2^8 - 3460*T1^4*T2^8 - 1210*T1^5*T2^8 + 
      4770*T1^6*T2^8 + 1819*T1^7*T2^8 - 744*T1^8*T2^8 - 963*T1^9*T2^8 - 
      732*T1^10*T2^8 - 2806*T1^11*T2^8 + 3568*T1^12*T2^8 - 1262*T1^13*T2^8 - 
      513*T1^14*T2^8 + 300*T1^15*T2^8 + 25*T1^16*T2^8 + 155*T1*T2^9 + 
      605*T1^2*T2^9 - 1784*T1^3*T2^9 - 592*T1^4*T2^9 + 4372*T1^5*T2^9 - 
      3483*T1^6*T2^9 - 1881*T1^7*T2^9 - 963*T1^8*T2^9 + 4095*T1^9*T2^9 - 
      1768*T1^10*T2^9 + 4815*T1^11*T2^9 - 2700*T1^12*T2^9 - 606*T1^13*T2^9 + 
      1528*T1^14*T2^9 - 395*T1^15*T2^9 - 125*T1^16*T2^9 - 276*T1^2*T2^10 - 
      5*T1^3*T2^10 + 2037*T1^4*T2^10 - 2393*T1^5*T2^10 - 1216*T1^6*T2^10 + 
      4073*T1^7*T2^10 - 732*T1^8*T2^10 - 1768*T1^9*T2^10 - 900*T1^10*T2^10 - 
      1999*T1^11*T2^10 - 872*T1^12*T2^10 + 2791*T1^13*T2^10 - 
      1915*T1^14*T2^10 + 75*T1^15*T2^10 + 300*T1^16*T2^10 + 277*T1^3*T2^11 - 
      670*T1^4*T2^11 - 663*T1^5*T2^11 + 2787*T1^6*T2^11 - 1584*T1^7*T2^11 - 
      2806*T1^8*T2^11 + 4815*T1^9*T2^11 - 1999*T1^10*T2^11 + 
      3062*T1^11*T2^11 + 1024*T1^12*T2^11 - 2387*T1^13*T2^11 + 
      981*T1^14*T2^11 + 570*T1^15*T2^11 - 463*T1^16*T2^11 - 143*T1^4*T2^12 + 
      810*T1^5*T2^12 - 755*T1^6*T2^12 - 1432*T1^7*T2^12 + 3568*T1^8*T2^12 - 
      2700*T1^9*T2^12 - 872*T1^10*T2^12 + 1024*T1^11*T2^12 - 
      3620*T1^12*T2^12 + 2712*T1^13*T2^12 - 283*T1^14*T2^12 - 
      990*T1^15*T2^12 + 513*T1^16*T2^12 - 19*T1^5*T2^13 - 445*T1^6*T2^13 + 
      1384*T1^7*T2^13 - 1262*T1^8*T2^13 - 606*T1^9*T2^13 + 2791*T1^10*T2^13 - 
      2387*T1^11*T2^13 + 2712*T1^12*T2^13 - 764*T1^13*T2^13 - 
      1064*T1^14*T2^13 + 1295*T1^15*T2^13 - 463*T1^16*T2^13 + 
      108*T1^6*T2^14 - 115*T1^7*T2^14 - 513*T1^8*T2^14 + 1528*T1^9*T2^14 - 
      1915*T1^10*T2^14 + 981*T1^11*T2^14 - 283*T1^12*T2^14 - 
      1064*T1^13*T2^14 + 1599*T1^14*T2^14 - 1075*T1^15*T2^14 + 
      300*T1^16*T2^14 - 85*T1^7*T2^15 + 300*T1^8*T2^15 - 395*T1^9*T2^15 + 
      75*T1^10*T2^15 + 570*T1^11*T2^15 - 990*T1^12*T2^15 + 1295*T1^13*T2^15 - 
      1075*T1^14*T2^15 + 540*T1^15*T2^15 - 125*T1^16*T2^15 + 25*T1^8*T2^16 - 
      125*T1^9*T2^16 + 300*T1^10*T2^16 - 463*T1^11*T2^16 + 513*T1^12*T2^16 - 
      463*T1^13*T2^16 + 300*T1^14*T2^16 - 125*T1^15*T2^16 + 25*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1233] -> 
  {-((1 - 3*T + 6*T^2 - 10*T^3 + 12*T^4 - 13*T^5 + 12*T^6 - 10*T^7 + 6*T^8 - 
      3*T^9 + T^10)/T^5), -((-7 + 21*T1 - 42*T1^2 + 70*T1^3 - 84*T1^4 + 
      91*T1^5 - 84*T1^6 + 70*T1^7 - 42*T1^8 + 21*T1^9 - 7*T1^10 + 21*T2 - 
      45*T1*T2 + 72*T1^2*T2 - 102*T1^3*T2 + 72*T1^4*T2 - 57*T1^5*T2 + 
      18*T1^6*T2 + 6*T1^7*T2 - 54*T1^8*T2 + 45*T1^9*T2 - 33*T1^10*T2 + 
      18*T1^11*T2 - 42*T2^2 + 72*T1*T2^2 - 119*T1^2*T2^2 + 183*T1^3*T2^2 - 
      137*T1^4*T2^2 + 186*T1^5*T2^2 - 149*T1^6*T2^2 + 150*T1^7*T2^2 - 
      65*T1^8*T2^2 + 99*T1^9*T2^2 - 59*T1^10*T2^2 + 36*T1^11*T2^2 - 
      30*T1^12*T2^2 + 70*T2^3 - 102*T1*T2^3 + 183*T1^2*T2^3 - 276*T1^3*T2^3 + 
      168*T1^4*T2^3 - 259*T1^5*T2^3 + 113*T1^6*T2^3 - 97*T1^7*T2^3 - 
      85*T1^8*T2^3 + 6*T1^9*T2^3 - 108*T1^10*T2^3 + 75*T1^11*T2^3 - 
      30*T1^12*T2^3 + 40*T1^13*T2^3 - 84*T2^4 + 72*T1*T2^4 - 137*T1^2*T2^4 + 
      168*T1^3*T2^4 + 61*T1^4*T2^4 + 86*T1^5*T2^4 + 176*T1^6*T2^4 - 
      97*T1^7*T2^4 + 284*T1^8*T2^4 - 34*T1^9*T2^4 + 169*T1^10*T2^4 - 
      12*T1^11*T2^4 - 29*T1^12*T2^4 - 12*T1^13*T2^4 - 36*T1^14*T2^4 + 
      91*T2^5 - 57*T1*T2^5 + 186*T1^2*T2^5 - 259*T1^3*T2^5 + 86*T1^4*T2^5 - 
      405*T1^5*T2^5 + 42*T1^6*T2^5 - 226*T1^7*T2^5 - 62*T1^8*T2^5 - 
      201*T1^9*T2^5 - 155*T1^10*T2^5 - 46*T1^11*T2^5 - 17*T1^12*T2^5 + 
      60*T1^13*T2^5 + 30*T1^14*T2^5 + 26*T1^15*T2^5 - 84*T2^6 + 18*T1*T2^6 - 
      149*T1^2*T2^6 + 113*T1^3*T2^6 + 176*T1^4*T2^6 + 42*T1^5*T2^6 + 
      592*T1^6*T2^6 - 358*T1^7*T2^6 + 722*T1^8*T2^6 - 358*T1^9*T2^6 + 
      688*T1^10*T2^6 - 186*T1^11*T2^6 + 200*T1^12*T2^6 - 103*T1^13*T2^6 - 
      41*T1^14*T2^6 - 42*T1^15*T2^6 - 12*T1^16*T2^6 + 70*T2^7 + 6*T1*T2^7 + 
      150*T1^2*T2^7 - 97*T1^3*T2^7 - 97*T1^4*T2^7 - 226*T1^5*T2^7 - 
      358*T1^6*T2^7 - 100*T1^7*T2^7 - 249*T1^8*T2^7 - 147*T1^9*T2^7 - 
      224*T1^10*T2^7 - 268*T1^11*T2^7 + 18*T1^12*T2^7 - 61*T1^13*T2^7 + 
      105*T1^14*T2^7 + 36*T1^15*T2^7 + 36*T1^16*T2^7 - 42*T2^8 - 54*T1*T2^8 - 
      65*T1^2*T2^8 - 85*T1^3*T2^8 + 284*T1^4*T2^8 - 62*T1^5*T2^8 + 
      722*T1^6*T2^8 - 249*T1^7*T2^8 + 646*T1^8*T2^8 - 274*T1^9*T2^8 + 
      574*T1^10*T2^8 - 69*T1^11*T2^8 + 306*T1^12*T2^8 - 106*T1^13*T2^8 + 
      8*T1^14*T2^8 - 89*T1^15*T2^8 - 29*T1^16*T2^8 - 18*T1^17*T2^8 + 
      6*T1^18*T2^8 + 21*T2^9 + 45*T1*T2^9 + 99*T1^2*T2^9 + 6*T1^3*T2^9 - 
      34*T1^4*T2^9 - 201*T1^5*T2^9 - 358*T1^6*T2^9 - 147*T1^7*T2^9 - 
      274*T1^8*T2^9 + 5*T1^9*T2^9 - 241*T1^10*T2^9 - 142*T1^11*T2^9 - 
      93*T1^12*T2^9 - 88*T1^13*T2^9 + 102*T1^14*T2^9 + 26*T1^15*T2^9 + 
      60*T1^16*T2^9 + 15*T1^17*T2^9 - 6*T1^19*T2^9 - 7*T2^10 - 33*T1*T2^10 - 
      59*T1^2*T2^10 - 108*T1^3*T2^10 + 169*T1^4*T2^10 - 155*T1^5*T2^10 + 
      688*T1^6*T2^10 - 224*T1^7*T2^10 + 574*T1^8*T2^10 - 241*T1^9*T2^10 + 
      216*T1^10*T2^10 + 113*T1^11*T2^10 + 18*T1^12*T2^10 + 116*T1^13*T2^10 - 
      96*T1^14*T2^10 - 45*T1^15*T2^10 - 47*T1^16*T2^10 - 24*T1^17*T2^10 + 
      T1^18*T2^10 + 9*T1^19*T2^10 + 3*T1^20*T2^10 + 18*T1*T2^11 + 
      36*T1^2*T2^11 + 75*T1^3*T2^11 - 12*T1^4*T2^11 - 46*T1^5*T2^11 - 
      186*T1^6*T2^11 - 268*T1^7*T2^11 - 69*T1^8*T2^11 - 142*T1^9*T2^11 + 
      113*T1^10*T2^11 - 133*T1^11*T2^11 - 10*T1^12*T2^11 - 15*T1^13*T2^11 + 
      2*T1^14*T2^11 + 117*T1^15*T2^11 + 14*T1^16*T2^11 + 42*T1^17*T2^11 - 
      9*T1^18*T2^11 - 9*T1^19*T2^11 - 9*T1^20*T2^11 - 30*T1^2*T2^12 - 
      30*T1^3*T2^12 - 29*T1^4*T2^12 - 17*T1^5*T2^12 + 200*T1^6*T2^12 + 
      18*T1^7*T2^12 + 306*T1^8*T2^12 - 93*T1^9*T2^12 + 18*T1^10*T2^12 - 
      10*T1^11*T2^12 - 54*T1^12*T2^12 + 87*T1^13*T2^12 - 110*T1^14*T2^12 - 
      26*T1^15*T2^12 - 76*T1^16*T2^12 - 21*T1^17*T2^12 + 7*T1^18*T2^12 + 
      6*T1^19*T2^12 + 18*T1^20*T2^12 + 40*T1^3*T2^13 - 12*T1^4*T2^13 + 
      60*T1^5*T2^13 - 103*T1^6*T2^13 - 61*T1^7*T2^13 - 106*T1^8*T2^13 - 
      88*T1^9*T2^13 + 116*T1^10*T2^13 - 15*T1^11*T2^13 + 87*T1^12*T2^13 - 
      8*T1^13*T2^13 + 2*T1^14*T2^13 + 138*T1^15*T2^13 - 25*T1^16*T2^13 + 
      99*T1^17*T2^13 - 54*T1^18*T2^13 + 18*T1^19*T2^13 - 30*T1^20*T2^13 - 
      36*T1^4*T2^14 + 30*T1^5*T2^14 - 41*T1^6*T2^14 + 105*T1^7*T2^14 + 
      8*T1^8*T2^14 + 102*T1^9*T2^14 - 96*T1^10*T2^14 + 2*T1^11*T2^14 - 
      110*T1^12*T2^14 + 2*T1^13*T2^14 - 126*T1^15*T2^14 + 32*T1^16*T2^14 - 
      111*T1^17*T2^14 + 67*T1^18*T2^14 - 30*T1^19*T2^14 + 36*T1^20*T2^14 + 
      26*T1^5*T2^15 - 42*T1^6*T2^15 + 36*T1^7*T2^15 - 89*T1^8*T2^15 + 
      26*T1^9*T2^15 - 45*T1^10*T2^15 + 117*T1^11*T2^15 - 26*T1^12*T2^15 + 
      138*T1^13*T2^15 - 126*T1^14*T2^15 + 205*T1^15*T2^15 - 106*T1^16*T2^15 + 
      153*T1^17*T2^15 - 90*T1^18*T2^15 + 45*T1^19*T2^15 - 39*T1^20*T2^15 - 
      12*T1^6*T2^16 + 36*T1^7*T2^16 - 29*T1^8*T2^16 + 60*T1^9*T2^16 - 
      47*T1^10*T2^16 + 14*T1^11*T2^16 - 76*T1^12*T2^16 - 25*T1^13*T2^16 + 
      32*T1^14*T2^16 - 106*T1^15*T2^16 + 61*T1^16*T2^16 - 120*T1^17*T2^16 + 
      79*T1^18*T2^16 - 48*T1^19*T2^16 + 36*T1^20*T2^16 - 18*T1^8*T2^17 + 
      15*T1^9*T2^17 - 24*T1^10*T2^17 + 42*T1^11*T2^17 - 21*T1^12*T2^17 + 
      99*T1^13*T2^17 - 111*T1^14*T2^17 + 153*T1^15*T2^17 - 120*T1^16*T2^17 + 
      144*T1^17*T2^17 - 93*T1^18*T2^17 + 54*T1^19*T2^17 - 30*T1^20*T2^17 + 
      6*T1^8*T2^18 + T1^10*T2^18 - 9*T1^11*T2^18 + 7*T1^12*T2^18 - 
      54*T1^13*T2^18 + 67*T1^14*T2^18 - 90*T1^15*T2^18 + 79*T1^16*T2^18 - 
      93*T1^17*T2^18 + 61*T1^18*T2^18 - 36*T1^19*T2^18 + 18*T1^20*T2^18 - 
      6*T1^9*T2^19 + 9*T1^10*T2^19 - 9*T1^11*T2^19 + 6*T1^12*T2^19 + 
      18*T1^13*T2^19 - 30*T1^14*T2^19 + 45*T1^15*T2^19 - 48*T1^16*T2^19 + 
      54*T1^17*T2^19 - 36*T1^18*T2^19 + 21*T1^19*T2^19 - 9*T1^20*T2^19 + 
      3*T1^10*T2^20 - 9*T1^11*T2^20 + 18*T1^12*T2^20 - 30*T1^13*T2^20 + 
      36*T1^14*T2^20 - 39*T1^15*T2^20 + 36*T1^16*T2^20 - 30*T1^17*T2^20 + 
      18*T1^18*T2^20 - 9*T1^19*T2^20 + 3*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1234] -> 
  {-((2 - 7*T + 15*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 15*T^6 - 7*T^7 + 2*T^8)/
     T^4), -((-41 + 143*T1 - 306*T1^2 + 510*T1^3 - 591*T1^4 + 510*T1^5 - 
      306*T1^6 + 143*T1^7 - 41*T1^8 + 143*T2 - 384*T1*T2 + 667*T1^2*T2 - 
      922*T1^3*T2 + 633*T1^4*T2 - 123*T1^5*T2 - 362*T1^6*T2 + 359*T1^7*T2 - 
      258*T1^8*T2 + 115*T1^9*T2 - 306*T2^2 + 667*T1*T2^2 - 1065*T1^2*T2^2 + 
      1440*T1^3*T2^2 - 764*T1^4*T2^2 + 269*T1^5*T2^2 + 76*T1^6*T2^2 + 
      360*T1^7*T2^2 - 285*T1^8*T2^2 + 247*T1^9*T2^2 - 186*T1^10*T2^2 + 
      510*T2^3 - 922*T1*T2^3 + 1440*T1^2*T2^3 - 1943*T1^3*T2^3 + 
      707*T1^4*T2^3 - 403*T1^5*T2^3 - 73*T1^6*T2^3 - 493*T1^7*T2^3 - 
      203*T1^8*T2^3 + 135*T1^9*T2^3 - 82*T1^10*T2^3 + 210*T1^11*T2^3 - 
      591*T2^4 + 633*T1*T2^4 - 764*T1^2*T2^4 + 707*T1^3*T2^4 + 
      1461*T1^4*T2^4 - 1112*T1^5*T2^4 + 1427*T1^6*T2^4 - 388*T1^7*T2^4 + 
      1425*T1^8*T2^4 - 543*T1^9*T2^4 + 266*T1^10*T2^4 - 291*T1^11*T2^4 - 
      127*T1^12*T2^4 + 510*T2^5 - 123*T1*T2^5 + 269*T1^2*T2^5 - 
      403*T1^3*T2^5 - 1112*T1^4*T2^5 - 1054*T1^5*T2^5 + 522*T1^6*T2^5 - 
      868*T1^7*T2^5 - 1228*T1^8*T2^5 - 169*T1^9*T2^5 + 87*T1^10*T2^5 + 
      32*T1^11*T2^5 + 409*T1^12*T2^5 + 10*T1^13*T2^5 - 306*T2^6 - 
      362*T1*T2^6 + 76*T1^2*T2^6 - 73*T1^3*T2^6 + 1427*T1^4*T2^6 + 
      522*T1^5*T2^6 + 2076*T1^6*T2^6 - 2676*T1^7*T2^6 + 3996*T1^8*T2^6 - 
      738*T1^9*T2^6 + 457*T1^10*T2^6 - 163*T1^11*T2^6 - 384*T1^12*T2^6 - 
      222*T1^13*T2^6 + 54*T1^14*T2^6 + 143*T2^7 + 359*T1*T2^7 + 
      360*T1^2*T2^7 - 493*T1^3*T2^7 - 388*T1^4*T2^7 - 868*T1^5*T2^7 - 
      2676*T1^6*T2^7 + 2671*T1^7*T2^7 - 2147*T1^8*T2^7 - 1471*T1^9*T2^7 + 
      782*T1^10*T2^7 - 455*T1^11*T2^7 + 507*T1^12*T2^7 + 315*T1^13*T2^7 - 
      5*T1^14*T2^7 - 53*T1^15*T2^7 - 41*T2^8 - 258*T1*T2^8 - 285*T1^2*T2^8 - 
      203*T1^3*T2^8 + 1425*T1^4*T2^8 - 1228*T1^5*T2^8 + 3996*T1^6*T2^8 - 
      2147*T1^7*T2^8 - 252*T1^8*T2^8 + 2751*T1^9*T2^8 - 1074*T1^10*T2^8 + 
      248*T1^11*T2^8 - 247*T1^12*T2^8 - 393*T1^13*T2^8 - 63*T1^14*T2^8 + 
      106*T1^15*T2^8 + 23*T1^16*T2^8 + 115*T1*T2^9 + 247*T1^2*T2^9 + 
      135*T1^3*T2^9 - 543*T1^4*T2^9 - 169*T1^5*T2^9 - 738*T1^6*T2^9 - 
      1471*T1^7*T2^9 + 2751*T1^8*T2^9 - 2067*T1^9*T2^9 - 266*T1^10*T2^9 + 
      912*T1^11*T2^9 - 236*T1^12*T2^9 + 457*T1^13*T2^9 + 90*T1^14*T2^9 - 
      117*T1^15*T2^9 - 81*T1^16*T2^9 - 186*T1^2*T2^10 - 82*T1^3*T2^10 + 
      266*T1^4*T2^10 + 87*T1^5*T2^10 + 457*T1^6*T2^10 + 782*T1^7*T2^10 - 
      1074*T1^8*T2^10 - 266*T1^9*T2^10 + 846*T1^10*T2^10 - 478*T1^11*T2^10 - 
      513*T1^12*T2^10 - 3*T1^13*T2^10 - 194*T1^14*T2^10 + 58*T1^15*T2^10 + 
      174*T1^16*T2^10 + 210*T1^3*T2^11 - 291*T1^4*T2^11 + 32*T1^5*T2^11 - 
      163*T1^6*T2^11 - 455*T1^7*T2^11 + 248*T1^8*T2^11 + 912*T1^9*T2^11 - 
      478*T1^10*T2^11 + 74*T1^11*T2^11 + 488*T1^12*T2^11 + 327*T1^13*T2^11 - 
      205*T1^14*T2^11 + 241*T1^15*T2^11 - 290*T1^16*T2^11 - 127*T1^4*T2^12 + 
      409*T1^5*T2^12 - 384*T1^6*T2^12 + 507*T1^7*T2^12 - 247*T1^8*T2^12 - 
      236*T1^9*T2^12 - 513*T1^10*T2^12 + 488*T1^11*T2^12 - 283*T1^12*T2^12 - 
      743*T1^13*T2^12 + 646*T1^14*T2^12 - 515*T1^15*T2^12 + 337*T1^16*T2^12 + 
      10*T1^5*T2^13 - 222*T1^6*T2^13 + 315*T1^7*T2^13 - 393*T1^8*T2^13 + 
      457*T1^9*T2^13 - 3*T1^10*T2^13 + 327*T1^11*T2^13 - 743*T1^12*T2^13 + 
      1347*T1^13*T2^13 - 990*T1^14*T2^13 + 618*T1^15*T2^13 - 
      290*T1^16*T2^13 + 54*T1^6*T2^14 - 5*T1^7*T2^14 - 63*T1^8*T2^14 + 
      90*T1^9*T2^14 - 194*T1^10*T2^14 - 205*T1^11*T2^14 + 646*T1^12*T2^14 - 
      990*T1^13*T2^14 + 717*T1^14*T2^14 - 425*T1^15*T2^14 + 174*T1^16*T2^14 - 
      53*T1^7*T2^15 + 106*T1^8*T2^15 - 117*T1^9*T2^15 + 58*T1^10*T2^15 + 
      241*T1^11*T2^15 - 515*T1^12*T2^15 + 618*T1^13*T2^15 - 425*T1^14*T2^15 + 
      232*T1^15*T2^15 - 81*T1^16*T2^15 + 23*T1^8*T2^16 - 81*T1^9*T2^16 + 
      174*T1^10*T2^16 - 290*T1^11*T2^16 + 337*T1^12*T2^16 - 290*T1^13*T2^16 + 
      174*T1^14*T2^16 - 81*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1235] -> 
  {-((1 - 4*T + 9*T^2 - 16*T^3 + 23*T^4 - 27*T^5 + 23*T^6 - 16*T^7 + 9*T^8 - 
      4*T^9 + T^10)/T^5), -((-5 + 20*T1 - 45*T1^2 + 80*T1^3 - 115*T1^4 + 
      135*T1^5 - 115*T1^6 + 80*T1^7 - 45*T1^8 + 20*T1^9 - 5*T1^10 + 20*T2 - 
      64*T1*T2 + 116*T1^2*T2 - 176*T1^3*T2 + 204*T1^4*T2 - 172*T1^5*T2 + 
      28*T1^6*T2 + 48*T1^7*T2 - 76*T1^8*T2 + 64*T1^9*T2 - 44*T1^10*T2 + 
      16*T1^11*T2 - 45*T2^2 + 116*T1*T2^2 - 177*T1^2*T2^2 + 255*T1^3*T2^2 - 
      258*T1^4*T2^2 + 179*T1^5*T2^2 + 69*T1^6*T2^2 - 19*T1^7*T2^2 - 
      6*T1^8*T2^2 + 39*T1^9*T2^2 - 33*T1^10*T2^2 + 44*T1^11*T2^2 - 
      27*T1^12*T2^2 + 80*T2^3 - 176*T1*T2^3 + 255*T1^2*T2^3 - 390*T1^3*T2^3 + 
      382*T1^4*T2^3 - 286*T1^5*T2^3 - 80*T1^6*T2^3 - 152*T1^7*T2^3 + 
      38*T1^8*T2^3 - 14*T1^9*T2^3 - 42*T1^10*T2^3 + 3*T1^11*T2^3 - 
      20*T1^12*T2^3 + 32*T1^13*T2^3 - 115*T2^4 + 204*T1*T2^4 - 
      258*T1^2*T2^4 + 382*T1^3*T2^4 - 230*T1^4*T2^4 + 17*T1^5*T2^4 + 
      548*T1^6*T2^4 - 78*T1^7*T2^4 + 428*T1^8*T2^4 - 307*T1^9*T2^4 + 
      258*T1^10*T2^4 - 66*T1^11*T2^4 + 58*T1^12*T2^4 - 36*T1^13*T2^4 - 
      23*T1^14*T2^4 + 135*T2^5 - 172*T1*T2^5 + 179*T1^2*T2^5 - 
      286*T1^3*T2^5 + 17*T1^4*T2^5 + 157*T1^5*T2^5 - 682*T1^6*T2^5 - 
      220*T1^7*T2^5 - 409*T1^8*T2^5 - 7*T1^9*T2^5 + 85*T1^10*T2^5 - 
      268*T1^11*T2^5 + 110*T1^12*T2^5 - 76*T1^13*T2^5 + 92*T1^14*T2^5 - 
      115*T2^6 + 28*T1*T2^6 + 69*T1^2*T2^6 - 80*T1^3*T2^6 + 548*T1^4*T2^6 - 
      682*T1^5*T2^6 + 1072*T1^6*T2^6 + 115*T1^7*T2^6 + 900*T1^8*T2^6 - 
      47*T1^9*T2^6 - 32*T1^10*T2^6 + 128*T1^11*T2^6 + 122*T1^12*T2^6 - 
      56*T1^13*T2^6 - 3*T1^14*T2^6 - 92*T1^15*T2^6 + 23*T1^16*T2^6 + 
      80*T2^7 + 48*T1*T2^7 - 19*T1^2*T2^7 - 152*T1^3*T2^7 - 78*T1^4*T2^7 - 
      220*T1^5*T2^7 + 115*T1^6*T2^7 - 1067*T1^7*T2^7 - 547*T1^8*T2^7 - 
      534*T1^9*T2^7 + 309*T1^10*T2^7 - 64*T1^11*T2^7 - 167*T1^12*T2^7 - 
      15*T1^13*T2^7 + 48*T1^14*T2^7 + 84*T1^15*T2^7 + 36*T1^16*T2^7 - 
      32*T1^17*T2^7 - 45*T2^8 - 76*T1*T2^8 - 6*T1^2*T2^8 + 38*T1^3*T2^8 + 
      428*T1^4*T2^8 - 409*T1^5*T2^8 + 900*T1^6*T2^8 - 547*T1^7*T2^8 + 
      1856*T1^8*T2^8 + 94*T1^9*T2^8 - 88*T1^10*T2^8 - 199*T1^11*T2^8 + 
      36*T1^12*T2^8 + 143*T1^13*T2^8 - 64*T1^14*T2^8 - 106*T1^15*T2^8 - 
      66*T1^16*T2^8 + 20*T1^17*T2^8 + 27*T1^18*T2^8 + 20*T2^9 + 64*T1*T2^9 + 
      39*T1^2*T2^9 - 14*T1^3*T2^9 - 307*T1^4*T2^9 - 7*T1^5*T2^9 - 
      47*T1^6*T2^9 - 534*T1^7*T2^9 + 94*T1^8*T2^9 - 1867*T1^9*T2^9 + 
      1031*T1^10*T2^9 + 139*T1^11*T2^9 + 123*T1^12*T2^9 + 64*T1^13*T2^9 - 
      142*T1^14*T2^9 + 212*T1^15*T2^9 + 70*T1^16*T2^9 + 3*T1^17*T2^9 - 
      44*T1^18*T2^9 - 16*T1^19*T2^9 - 5*T2^10 - 44*T1*T2^10 - 33*T1^2*T2^10 - 
      42*T1^3*T2^10 + 258*T1^4*T2^10 + 85*T1^5*T2^10 - 32*T1^6*T2^10 + 
      309*T1^7*T2^10 - 88*T1^8*T2^10 + 1031*T1^9*T2^10 + 48*T1^10*T2^10 - 
      1119*T1^11*T2^10 - 94*T1^12*T2^10 - 197*T1^13*T2^10 - 33*T1^15*T2^10 - 
      224*T1^16*T2^10 + 30*T1^17*T2^10 + 31*T1^18*T2^10 + 44*T1^19*T2^10 + 
      5*T1^20*T2^10 + 16*T1*T2^11 + 44*T1^2*T2^11 + 3*T1^3*T2^11 - 
      66*T1^4*T2^11 - 268*T1^5*T2^11 + 128*T1^6*T2^11 - 64*T1^7*T2^11 - 
      199*T1^8*T2^11 + 139*T1^9*T2^11 - 1119*T1^10*T2^11 + 1779*T1^11*T2^11 + 
      184*T1^12*T2^11 + 458*T1^13*T2^11 + 47*T1^14*T2^11 - 7*T1^15*T2^11 + 
      251*T1^16*T2^11 + 18*T1^17*T2^11 - 33*T1^18*T2^11 - 64*T1^19*T2^11 - 
      20*T1^20*T2^11 - 27*T1^2*T2^12 - 20*T1^3*T2^12 + 58*T1^4*T2^12 + 
      110*T1^5*T2^12 + 122*T1^6*T2^12 - 167*T1^7*T2^12 + 36*T1^8*T2^12 + 
      123*T1^9*T2^12 - 94*T1^10*T2^12 + 184*T1^11*T2^12 - 2038*T1^12*T2^12 + 
      471*T1^13*T2^12 - 828*T1^14*T2^12 + 385*T1^15*T2^12 - 370*T1^16*T2^12 - 
      34*T1^17*T2^12 - 2*T1^18*T2^12 + 76*T1^19*T2^12 + 45*T1^20*T2^12 + 
      32*T1^3*T2^13 - 36*T1^4*T2^13 - 76*T1^5*T2^13 - 56*T1^6*T2^13 - 
      15*T1^7*T2^13 + 143*T1^8*T2^13 + 64*T1^9*T2^13 - 197*T1^10*T2^13 + 
      458*T1^11*T2^13 + 471*T1^12*T2^13 + 1179*T1^13*T2^13 - 
      115*T1^14*T2^13 + 196*T1^15*T2^13 + 48*T1^16*T2^13 + 144*T1^17*T2^13 + 
      27*T1^18*T2^13 - 48*T1^19*T2^13 - 80*T1^20*T2^13 - 23*T1^4*T2^14 + 
      92*T1^5*T2^14 - 3*T1^6*T2^14 + 48*T1^7*T2^14 - 64*T1^8*T2^14 - 
      142*T1^9*T2^14 + 47*T1^11*T2^14 - 828*T1^12*T2^14 - 115*T1^13*T2^14 - 
      1104*T1^14*T2^14 + 668*T1^15*T2^14 - 490*T1^16*T2^14 + 72*T1^17*T2^14 - 
      75*T1^18*T2^14 - 28*T1^19*T2^14 + 115*T1^20*T2^14 - 92*T1^6*T2^15 + 
      84*T1^7*T2^15 - 106*T1^8*T2^15 + 212*T1^9*T2^15 - 33*T1^10*T2^15 - 
      7*T1^11*T2^15 + 385*T1^12*T2^15 + 196*T1^13*T2^15 + 668*T1^14*T2^15 - 
      105*T1^15*T2^15 - 73*T1^16*T2^15 + 290*T1^17*T2^15 - 171*T1^18*T2^15 + 
      172*T1^19*T2^15 - 135*T1^20*T2^15 + 23*T1^6*T2^16 + 36*T1^7*T2^16 - 
      66*T1^8*T2^16 + 70*T1^9*T2^16 - 224*T1^10*T2^16 + 251*T1^11*T2^16 - 
      370*T1^12*T2^16 + 48*T1^13*T2^16 - 490*T1^14*T2^16 - 73*T1^15*T2^16 + 
      264*T1^16*T2^16 - 378*T1^17*T2^16 + 250*T1^18*T2^16 - 204*T1^19*T2^16 + 
      115*T1^20*T2^16 - 32*T1^7*T2^17 + 20*T1^8*T2^17 + 3*T1^9*T2^17 + 
      30*T1^10*T2^17 + 18*T1^11*T2^17 - 34*T1^12*T2^17 + 144*T1^13*T2^17 + 
      72*T1^14*T2^17 + 290*T1^15*T2^17 - 378*T1^16*T2^17 + 378*T1^17*T2^17 - 
      249*T1^18*T2^17 + 176*T1^19*T2^17 - 80*T1^20*T2^17 + 27*T1^8*T2^18 - 
      44*T1^9*T2^18 + 31*T1^10*T2^18 - 33*T1^11*T2^18 - 2*T1^12*T2^18 + 
      27*T1^13*T2^18 - 75*T1^14*T2^18 - 171*T1^15*T2^18 + 250*T1^16*T2^18 - 
      249*T1^17*T2^18 + 175*T1^18*T2^18 - 116*T1^19*T2^18 + 45*T1^20*T2^18 - 
      16*T1^9*T2^19 + 44*T1^10*T2^19 - 64*T1^11*T2^19 + 76*T1^12*T2^19 - 
      48*T1^13*T2^19 - 28*T1^14*T2^19 + 172*T1^15*T2^19 - 204*T1^16*T2^19 + 
      176*T1^17*T2^19 - 116*T1^18*T2^19 + 64*T1^19*T2^19 - 20*T1^20*T2^19 + 
      5*T1^10*T2^20 - 20*T1^11*T2^20 + 45*T1^12*T2^20 - 80*T1^13*T2^20 + 
      115*T1^14*T2^20 - 135*T1^15*T2^20 + 115*T1^16*T2^20 - 80*T1^17*T2^20 + 
      45*T1^18*T2^20 - 20*T1^19*T2^20 + 5*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1236] -> 
  {-((2 - 9*T + 21*T^2 - 33*T^3 + 37*T^4 - 33*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
     T^4), -((-25 + 112*T1 - 261*T1^2 + 411*T1^3 - 461*T1^4 + 411*T1^5 - 
      261*T1^6 + 112*T1^7 - 25*T1^8 + 112*T2 - 426*T1*T2 + 830*T1^2*T2 - 
      1050*T1^3*T2 + 818*T1^4*T2 - 442*T1^5*T2 - 78*T1^6*T2 + 290*T1^7*T2 - 
      228*T1^8*T2 + 76*T1^9*T2 - 261*T2^2 + 830*T1*T2^2 - 1312*T1^2*T2^2 + 
      1221*T1^3*T2^2 - 320*T1^4*T2^2 - 282*T1^5*T2^2 + 1024*T1^6*T2^2 - 
      795*T1^7*T2^2 + 284*T1^8*T2^2 + 74*T1^9*T2^2 - 93*T1^10*T2^2 + 
      411*T2^3 - 1050*T1*T2^3 + 1221*T1^2*T2^3 - 519*T1^3*T2^3 - 
      927*T1^4*T2^3 + 1028*T1^5*T2^3 - 1510*T1^6*T2^3 + 171*T1^7*T2^3 + 
      741*T1^8*T2^3 - 858*T1^9*T2^3 + 354*T1^10*T2^3 + 15*T1^11*T2^3 - 
      461*T2^4 + 818*T1*T2^4 - 320*T1^2*T2^4 - 927*T1^3*T2^4 + 
      2246*T1^4*T2^4 - 1051*T1^5*T2^4 + 1052*T1^6*T2^4 + 1349*T1^7*T2^4 - 
      1650*T1^8*T2^4 + 591*T1^9*T2^4 + 550*T1^10*T2^4 - 658*T1^11*T2^4 + 
      131*T1^12*T2^4 + 411*T2^5 - 442*T1*T2^5 - 282*T1^2*T2^5 + 
      1028*T1^3*T2^5 - 1051*T1^4*T2^5 - 1550*T1^5*T2^5 + 1244*T1^6*T2^5 - 
      3220*T1^7*T2^5 + 1468*T1^8*T2^5 + 914*T1^9*T2^5 - 1438*T1^10*T2^5 + 
      393*T1^11*T2^5 + 530*T1^12*T2^5 - 249*T1^13*T2^5 - 261*T2^6 - 
      78*T1*T2^6 + 1024*T1^2*T2^6 - 1510*T1^3*T2^6 + 1052*T1^4*T2^6 + 
      1244*T1^5*T2^6 + 172*T1^6*T2^6 + 1092*T1^7*T2^6 + 1312*T1^8*T2^6 - 
      2788*T1^9*T2^6 + 698*T1^10*T2^6 + 1136*T1^11*T2^6 - 1268*T1^12*T2^6 + 
      30*T1^13*T2^6 + 243*T1^14*T2^6 + 112*T2^7 + 290*T1*T2^7 - 
      795*T1^2*T2^7 + 171*T1^3*T2^7 + 1349*T1^4*T2^7 - 3220*T1^5*T2^7 + 
      1092*T1^6*T2^7 - 1159*T1^7*T2^7 - 1327*T1^8*T2^7 + 1821*T1^9*T2^7 + 
      2108*T1^10*T2^7 - 2356*T1^11*T2^7 + 753*T1^12*T2^7 + 906*T1^13*T2^7 - 
      466*T1^14*T2^7 - 140*T1^15*T2^7 - 25*T2^8 - 228*T1*T2^8 + 
      284*T1^2*T2^8 + 741*T1^3*T2^8 - 1650*T1^4*T2^8 + 1468*T1^5*T2^8 + 
      1312*T1^6*T2^8 - 1327*T1^7*T2^8 + 1152*T1^8*T2^8 + 131*T1^9*T2^8 - 
      4586*T1^10*T2^8 + 1564*T1^11*T2^8 + 938*T1^12*T2^8 - 1629*T1^13*T2^8 + 
      110*T1^14*T2^8 + 456*T1^15*T2^8 + 39*T1^16*T2^8 + 76*T1*T2^9 + 
      74*T1^2*T2^9 - 858*T1^3*T2^9 + 591*T1^4*T2^9 + 914*T1^5*T2^9 - 
      2788*T1^6*T2^9 + 1821*T1^7*T2^9 + 131*T1^8*T2^9 - 37*T1^9*T2^9 + 
      2550*T1^10*T2^9 + 2540*T1^11*T2^9 - 2791*T1^12*T2^9 + 1173*T1^13*T2^9 + 
      843*T1^14*T2^9 - 682*T1^15*T2^9 - 176*T1^16*T2^9 - 93*T1^2*T2^10 + 
      354*T1^3*T2^10 + 550*T1^4*T2^10 - 1438*T1^5*T2^10 + 698*T1^6*T2^10 + 
      2108*T1^7*T2^10 - 4586*T1^8*T2^10 + 2550*T1^9*T2^10 - 
      3446*T1^10*T2^10 - 1924*T1^11*T2^10 + 344*T1^12*T2^10 + 
      1208*T1^13*T2^10 - 1742*T1^14*T2^10 + 462*T1^15*T2^10 + 
      411*T1^16*T2^10 + 15*T1^3*T2^11 - 658*T1^4*T2^11 + 393*T1^5*T2^11 + 
      1136*T1^6*T2^11 - 2356*T1^7*T2^11 + 1564*T1^8*T2^11 + 2540*T1^9*T2^11 - 
      1924*T1^10*T2^11 + 4582*T1^11*T2^11 - 391*T1^12*T2^11 - 
      1330*T1^13*T2^11 + 1068*T1^14*T2^11 + 314*T1^15*T2^11 - 
      645*T1^16*T2^11 + 131*T1^4*T2^12 + 530*T1^5*T2^12 - 1268*T1^6*T2^12 + 
      753*T1^7*T2^12 + 938*T1^8*T2^12 - 2791*T1^9*T2^12 + 344*T1^10*T2^12 - 
      391*T1^11*T2^12 - 2958*T1^12*T2^12 + 2271*T1^13*T2^12 - 
      398*T1^14*T2^12 - 946*T1^15*T2^12 + 723*T1^16*T2^12 - 249*T1^5*T2^13 + 
      30*T1^6*T2^13 + 906*T1^7*T2^13 - 1629*T1^8*T2^13 + 1173*T1^9*T2^13 + 
      1208*T1^10*T2^13 - 1330*T1^11*T2^13 + 2271*T1^12*T2^13 - 
      369*T1^13*T2^13 - 1173*T1^14*T2^13 + 1434*T1^15*T2^13 - 
      645*T1^16*T2^13 + 243*T1^6*T2^14 - 466*T1^7*T2^14 + 110*T1^8*T2^14 + 
      843*T1^9*T2^14 - 1742*T1^10*T2^14 + 1068*T1^11*T2^14 - 
      398*T1^12*T2^14 - 1173*T1^13*T2^14 + 1706*T1^14*T2^14 - 
      1222*T1^15*T2^14 + 411*T1^16*T2^14 - 140*T1^7*T2^15 + 456*T1^8*T2^15 - 
      682*T1^9*T2^15 + 462*T1^10*T2^15 + 314*T1^11*T2^15 - 946*T1^12*T2^15 + 
      1434*T1^13*T2^15 - 1222*T1^14*T2^15 + 654*T1^15*T2^15 - 
      176*T1^16*T2^15 + 39*T1^8*T2^16 - 176*T1^9*T2^16 + 411*T1^10*T2^16 - 
      645*T1^11*T2^16 + 723*T1^12*T2^16 - 645*T1^13*T2^16 + 411*T1^14*T2^16 - 
      176*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1237] -> 
  {((1 - T + T^2)*(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6))/T^4, 
   (-31 + 171*T1 - 436*T1^2 + 701*T1^3 - 825*T1^4 + 701*T1^5 - 436*T1^6 + 
     171*T1^7 - 31*T1^8 + 171*T2 - 816*T1*T2 + 1703*T1^2*T2 - 2077*T1^3*T2 + 
     1674*T1^4*T2 - 482*T1^5*T2 - 471*T1^6*T2 + 845*T1^7*T2 - 530*T1^8*T2 + 
     127*T1^9*T2 - 436*T2^2 + 1703*T1*T2^2 - 2474*T1^2*T2^2 + 
     1159*T1^3*T2^2 + 1299*T1^4*T2^2 - 4046*T1^5*T2^2 + 4099*T1^6*T2^2 - 
     2649*T1^7*T2^2 + 438*T1^8*T2^2 + 471*T1^9*T2^2 - 212*T1^10*T2^2 + 
     701*T2^3 - 2077*T1*T2^3 + 1159*T1^2*T2^3 + 3048*T1^3*T2^3 - 
     6336*T1^4*T2^3 + 7576*T1^5*T2^3 - 2898*T1^6*T2^3 - 1132*T1^7*T2^3 + 
     3726*T1^8*T2^3 - 2397*T1^9*T2^3 + 277*T1^10*T2^3 + 161*T1^11*T2^3 - 
     825*T2^4 + 1674*T1*T2^4 + 1299*T1^2*T2^4 - 6336*T1^3*T2^4 + 
     6197*T1^4*T2^4 - 2642*T1^5*T2^4 - 6285*T1^6*T2^4 + 7692*T1^7*T2^4 - 
     5839*T1^8*T2^4 + 324*T1^9*T2^4 + 2281*T1^10*T2^4 - 1010*T1^11*T2^4 + 
     23*T1^12*T2^4 + 701*T2^5 - 482*T1*T2^5 - 4046*T1^2*T2^5 + 
     7576*T1^3*T2^5 - 2642*T1^4*T2^5 - 3421*T1^5*T2^5 + 9902*T1^6*T2^5 - 
     3451*T1^7*T2^5 - 2227*T1^8*T2^5 + 6571*T1^9*T2^5 - 4766*T1^10*T2^5 + 
     73*T1^11*T2^5 + 970*T1^12*T2^5 - 199*T1^13*T2^5 - 436*T2^6 - 
     471*T1*T2^6 + 4099*T1^2*T2^6 - 2898*T1^3*T2^6 - 6285*T1^4*T2^6 + 
     9902*T1^5*T2^6 - 7794*T1^6*T2^6 - 4624*T1^7*T2^6 + 7822*T1^8*T2^6 - 
     5150*T1^9*T2^6 - 409*T1^10*T2^6 + 4774*T1^11*T2^6 - 2337*T1^12*T2^6 - 
     207*T1^13*T2^6 + 236*T1^14*T2^6 + 171*T2^7 + 845*T1*T2^7 - 
     2649*T1^2*T2^7 - 1132*T1^3*T2^7 + 7692*T1^4*T2^7 - 3451*T1^5*T2^7 - 
     4624*T1^6*T2^7 + 11123*T1^7*T2^7 - 4725*T1^8*T2^7 - 4371*T1^9*T2^7 + 
     6504*T1^10*T2^7 - 6005*T1^11*T2^7 - 512*T1^12*T2^7 + 2419*T1^13*T2^7 - 
     541*T1^14*T2^7 - 137*T1^15*T2^7 - 31*T2^8 - 530*T1*T2^8 + 
     438*T1^2*T2^8 + 3726*T1^3*T2^8 - 5839*T1^4*T2^8 - 2227*T1^5*T2^8 + 
     7822*T1^6*T2^8 - 4725*T1^7*T2^8 - 3408*T1^8*T2^8 + 8425*T1^9*T2^8 - 
     1716*T1^10*T2^8 - 1009*T1^11*T2^8 + 6445*T1^12*T2^8 - 3782*T1^13*T2^8 - 
     380*T1^14*T2^8 + 570*T1^15*T2^8 + 33*T1^16*T2^8 + 127*T1*T2^9 + 
     471*T1^2*T2^9 - 2397*T1^3*T2^9 + 324*T1^4*T2^9 + 6571*T1^5*T2^9 - 
     5150*T1^6*T2^9 - 4371*T1^7*T2^9 + 8425*T1^8*T2^9 - 7423*T1^9*T2^9 - 
     4118*T1^10*T2^9 + 4805*T1^11*T2^9 - 7126*T1^12*T2^9 + 944*T1^13*T2^9 + 
     2671*T1^14*T2^9 - 915*T1^15*T2^9 - 181*T1^16*T2^9 - 212*T1^2*T2^10 + 
     277*T1^3*T2^10 + 2281*T1^4*T2^10 - 4766*T1^5*T2^10 - 409*T1^6*T2^10 + 
     6504*T1^7*T2^10 - 1716*T1^8*T2^10 - 4118*T1^9*T2^10 + 
     13900*T1^10*T2^10 - 8548*T1^11*T2^10 + 5467*T1^12*T2^10 + 
     2906*T1^13*T2^10 - 4155*T1^14*T2^10 + 541*T1^15*T2^10 + 
     460*T1^16*T2^10 + 161*T1^3*T2^11 - 1010*T1^4*T2^11 + 73*T1^5*T2^11 + 
     4774*T1^6*T2^11 - 6005*T1^7*T2^11 - 1009*T1^8*T2^11 + 4805*T1^9*T2^11 - 
     8548*T1^10*T2^11 + 185*T1^11*T2^11 + 3208*T1^12*T2^11 - 
     7568*T1^13*T2^11 + 4192*T1^14*T2^11 + 442*T1^15*T2^11 - 
     739*T1^16*T2^11 + 23*T1^4*T2^12 + 970*T1^5*T2^12 - 2337*T1^6*T2^12 - 
     512*T1^7*T2^12 + 6445*T1^8*T2^12 - 7126*T1^9*T2^12 + 5467*T1^10*T2^12 + 
     3208*T1^11*T2^12 - 5591*T1^12*T2^12 + 6148*T1^13*T2^12 - 
     1355*T1^14*T2^12 - 1714*T1^15*T2^12 + 871*T1^16*T2^12 - 199*T1^5*T2^13 - 
     207*T1^6*T2^13 + 2419*T1^7*T2^13 - 3782*T1^8*T2^13 + 944*T1^9*T2^13 + 
     2906*T1^10*T2^13 - 7568*T1^11*T2^13 + 6148*T1^12*T2^13 - 
     3104*T1^13*T2^13 - 1137*T1^14*T2^13 + 2147*T1^15*T2^13 - 
     739*T1^16*T2^13 + 236*T1^6*T2^14 - 541*T1^7*T2^14 - 380*T1^8*T2^14 + 
     2671*T1^9*T2^14 - 4155*T1^10*T2^14 + 4192*T1^11*T2^14 - 
     1355*T1^12*T2^14 - 1137*T1^13*T2^14 + 2532*T1^14*T2^14 - 
     1773*T1^15*T2^14 + 460*T1^16*T2^14 - 137*T1^7*T2^15 + 570*T1^8*T2^15 - 
     915*T1^9*T2^15 + 541*T1^10*T2^15 + 442*T1^11*T2^15 - 1714*T1^12*T2^15 + 
     2147*T1^13*T2^15 - 1773*T1^14*T2^15 + 856*T1^15*T2^15 - 
     181*T1^16*T2^15 + 33*T1^8*T2^16 - 181*T1^9*T2^16 + 460*T1^10*T2^16 - 
     739*T1^11*T2^16 + 871*T1^12*T2^16 - 739*T1^13*T2^16 + 460*T1^14*T2^16 - 
     181*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1238] -> 
  {(1 - 4*T + 9*T^2 - 16*T^3 + 23*T^4 - 25*T^5 + 23*T^6 - 16*T^7 + 9*T^8 - 
     4*T^9 + T^10)/T^5, (-6 + 24*T1 - 54*T1^2 + 96*T1^3 - 138*T1^4 + 
     150*T1^5 - 138*T1^6 + 96*T1^7 - 54*T1^8 + 24*T1^9 - 6*T1^10 + 24*T2 - 
     76*T1*T2 + 136*T1^2*T2 - 204*T1^3*T2 + 232*T1^4*T2 - 140*T1^5*T2 + 
     52*T1^6*T2 + 76*T1^7*T2 - 104*T1^8*T2 + 84*T1^9*T2 - 56*T1^10*T2 + 
     20*T1^11*T2 - 54*T2^2 + 136*T1*T2^2 - 201*T1^2*T2^2 + 285*T1^3*T2^2 - 
     280*T1^4*T2^2 + 74*T1^5*T2^2 - 53*T1^6*T2^2 - 88*T1^7*T2^2 - 
     28*T1^8*T2^2 + 69*T1^9*T2^2 - 57*T1^10*T2^2 + 64*T1^11*T2^2 - 
     36*T1^12*T2^2 + 96*T2^3 - 204*T1*T2^3 + 285*T1^2*T2^3 - 438*T1^3*T2^3 + 
     422*T1^4*T2^3 - 109*T1^5*T2^3 + 233*T1^6*T2^3 + 89*T1^7*T2^3 + 
     119*T1^8*T2^3 + 26*T1^9*T2^3 - 90*T1^10*T2^3 + 33*T1^11*T2^3 - 
     48*T1^12*T2^3 + 48*T1^13*T2^3 - 138*T2^4 + 232*T1*T2^4 - 280*T1^2*T2^4 + 
     422*T1^3*T2^4 - 227*T1^4*T2^4 - 321*T1^5*T2^4 + 59*T1^6*T2^4 - 
     695*T1^7*T2^4 + 195*T1^8*T2^4 - 461*T1^9*T2^4 + 261*T1^10*T2^4 - 
     26*T1^11*T2^4 + 36*T1^12*T2^4 - 8*T1^13*T2^4 - 46*T1^14*T2^4 + 
     150*T2^5 - 140*T1*T2^5 + 74*T1^2*T2^5 - 109*T1^3*T2^5 - 321*T1^4*T2^5 + 
     877*T1^5*T2^5 - 170*T1^6*T2^5 + 925*T1^7*T2^5 + 198*T1^8*T2^5 + 
     223*T1^9*T2^5 + 275*T1^10*T2^5 - 376*T1^11*T2^5 + 127*T1^12*T2^5 - 
     91*T1^13*T2^5 + 84*T1^14*T2^5 + 25*T1^15*T2^5 - 138*T2^6 + 52*T1*T2^6 - 
     53*T1^2*T2^6 + 233*T1^3*T2^6 + 59*T1^4*T2^6 - 170*T1^5*T2^6 - 
     878*T1^6*T2^6 - 348*T1^7*T2^6 - 956*T1^8*T2^6 - 130*T1^9*T2^6 - 
     446*T1^10*T2^6 + 212*T1^11*T2^6 + 145*T1^12*T2^6 - 31*T1^13*T2^6 + 
     3*T1^14*T2^6 - 100*T1^15*T2^6 + 96*T2^7 + 76*T1*T2^7 - 88*T1^2*T2^7 + 
     89*T1^3*T2^7 - 695*T1^4*T2^7 + 925*T1^5*T2^7 - 348*T1^6*T2^7 + 
     2035*T1^7*T2^7 - 196*T1^8*T2^7 + 1187*T1^9*T2^7 + 117*T1^10*T2^7 + 
     11*T1^11*T2^7 - 164*T1^12*T2^7 - 146*T1^13*T2^7 + 73*T1^14*T2^7 + 
     69*T1^15*T2^7 + 64*T1^16*T2^7 - 16*T1^17*T2^7 - 54*T2^8 - 104*T1*T2^8 - 
     28*T1^2*T2^8 + 119*T1^3*T2^8 + 195*T1^4*T2^8 + 198*T1^5*T2^8 - 
     956*T1^6*T2^8 - 196*T1^7*T2^8 - 2181*T1^8*T2^8 + 929*T1^9*T2^8 - 
     1821*T1^10*T2^8 + 912*T1^11*T2^8 - 284*T1^12*T2^8 + 382*T1^13*T2^8 - 
     41*T1^14*T2^8 - 89*T1^15*T2^8 - 88*T1^16*T2^8 - 8*T1^17*T2^8 + 
     18*T1^18*T2^8 + 24*T2^9 + 84*T1*T2^9 + 69*T1^2*T2^9 + 26*T1^3*T2^9 - 
     461*T1^4*T2^9 + 223*T1^5*T2^9 - 130*T1^6*T2^9 + 1187*T1^7*T2^9 + 
     929*T1^8*T2^9 + 593*T1^9*T2^9 + 41*T1^10*T2^9 + 560*T1^11*T2^9 - 
     746*T1^12*T2^9 + 75*T1^13*T2^9 - 214*T1^14*T2^9 + 104*T1^15*T2^9 + 
     110*T1^16*T2^9 + 33*T1^17*T2^9 - 24*T1^18*T2^9 - 12*T1^19*T2^9 - 
     6*T2^10 - 56*T1*T2^10 - 57*T1^2*T2^10 - 90*T1^3*T2^10 + 261*T1^4*T2^10 + 
     275*T1^5*T2^10 - 446*T1^6*T2^10 + 117*T1^7*T2^10 - 1821*T1^8*T2^10 + 
     41*T1^9*T2^10 - 240*T1^10*T2^10 + 7*T1^11*T2^10 + 221*T1^12*T2^10 + 
     583*T1^13*T2^10 - 158*T1^14*T2^10 + 177*T1^15*T2^10 - 221*T1^16*T2^10 - 
     18*T1^17*T2^10 + 7*T1^18*T2^10 + 32*T1^19*T2^10 + 4*T1^20*T2^10 + 
     20*T1*T2^11 + 64*T1^2*T2^11 + 33*T1^3*T2^11 - 26*T1^4*T2^11 - 
     376*T1^5*T2^11 + 212*T1^6*T2^11 + 11*T1^7*T2^11 + 912*T1^8*T2^11 + 
     560*T1^9*T2^11 + 7*T1^10*T2^11 - 545*T1^11*T2^11 + 191*T1^12*T2^11 - 
     1021*T1^13*T2^11 + 216*T1^14*T2^11 - 225*T1^15*T2^11 + 189*T1^16*T2^11 + 
     58*T1^17*T2^11 - 3*T1^18*T2^11 - 44*T1^19*T2^11 - 16*T1^20*T2^11 - 
     36*T1^2*T2^12 - 48*T1^3*T2^12 + 36*T1^4*T2^12 + 127*T1^5*T2^12 + 
     145*T1^6*T2^12 - 164*T1^7*T2^12 - 284*T1^8*T2^12 - 746*T1^9*T2^12 + 
     221*T1^10*T2^12 + 191*T1^11*T2^12 + 581*T1^12*T2^12 + 362*T1^13*T2^12 + 
     388*T1^14*T2^12 + 20*T1^15*T2^12 - 91*T1^16*T2^12 - 81*T1^17*T2^12 - 
     24*T1^18*T2^12 + 48*T1^19*T2^12 + 36*T1^20*T2^12 + 48*T1^3*T2^13 - 
     8*T1^4*T2^13 - 91*T1^5*T2^13 - 31*T1^6*T2^13 - 146*T1^7*T2^13 + 
     382*T1^8*T2^13 + 75*T1^9*T2^13 + 583*T1^10*T2^13 - 1021*T1^11*T2^13 + 
     362*T1^12*T2^13 - 1335*T1^13*T2^13 + 434*T1^14*T2^13 - 707*T1^15*T2^13 + 
     403*T1^16*T2^13 - 47*T1^17*T2^13 + 66*T1^18*T2^13 - 20*T1^19*T2^13 - 
     64*T1^20*T2^13 - 46*T1^4*T2^14 + 84*T1^5*T2^14 + 3*T1^6*T2^14 + 
     73*T1^7*T2^14 - 41*T1^8*T2^14 - 214*T1^9*T2^14 - 158*T1^10*T2^14 + 
     216*T1^11*T2^14 + 388*T1^12*T2^14 + 434*T1^13*T2^14 + 274*T1^14*T2^14 + 
     168*T1^15*T2^14 + 45*T1^16*T2^14 - 191*T1^17*T2^14 + 59*T1^18*T2^14 - 
     68*T1^19*T2^14 + 92*T1^20*T2^14 + 25*T1^5*T2^15 - 100*T1^6*T2^15 + 
     69*T1^7*T2^15 - 89*T1^8*T2^15 + 104*T1^9*T2^15 + 177*T1^10*T2^15 - 
     225*T1^11*T2^15 + 20*T1^12*T2^15 - 707*T1^13*T2^15 + 168*T1^14*T2^15 - 
     425*T1^15*T2^15 + 49*T1^16*T2^15 + 147*T1^17*T2^15 - 96*T1^18*T2^15 + 
     124*T1^19*T2^15 - 100*T1^20*T2^15 + 64*T1^7*T2^16 - 88*T1^8*T2^16 + 
     110*T1^9*T2^16 - 221*T1^10*T2^16 + 189*T1^11*T2^16 - 91*T1^12*T2^16 + 
     403*T1^13*T2^16 + 45*T1^14*T2^16 + 49*T1^15*T2^16 + 267*T1^16*T2^16 - 
     338*T1^17*T2^16 + 228*T1^18*T2^16 - 176*T1^19*T2^16 + 92*T1^20*T2^16 - 
     16*T1^7*T2^17 - 8*T1^8*T2^17 + 33*T1^9*T2^17 - 18*T1^10*T2^17 + 
     58*T1^11*T2^17 - 81*T1^12*T2^17 - 47*T1^13*T2^17 - 191*T1^14*T2^17 + 
     147*T1^15*T2^17 - 338*T1^16*T2^17 + 330*T1^17*T2^17 - 219*T1^18*T2^17 + 
     148*T1^19*T2^17 - 64*T1^20*T2^17 + 18*T1^8*T2^18 - 24*T1^9*T2^18 + 
     7*T1^10*T2^18 - 3*T1^11*T2^18 - 24*T1^12*T2^18 + 66*T1^13*T2^18 + 
     59*T1^14*T2^18 - 96*T1^15*T2^18 + 228*T1^16*T2^18 - 219*T1^17*T2^18 + 
     151*T1^18*T2^18 - 96*T1^19*T2^18 + 36*T1^20*T2^18 - 12*T1^9*T2^19 + 
     32*T1^10*T2^19 - 44*T1^11*T2^19 + 48*T1^12*T2^19 - 20*T1^13*T2^19 - 
     68*T1^14*T2^19 + 124*T1^15*T2^19 - 176*T1^16*T2^19 + 148*T1^17*T2^19 - 
     96*T1^18*T2^19 + 52*T1^19*T2^19 - 16*T1^20*T2^19 + 4*T1^10*T2^20 - 
     16*T1^11*T2^20 + 36*T1^12*T2^20 - 64*T1^13*T2^20 + 92*T1^14*T2^20 - 
     100*T1^15*T2^20 + 92*T1^16*T2^20 - 64*T1^17*T2^20 + 36*T1^18*T2^20 - 
     16*T1^19*T2^20 + 4*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1239] -> 
  {(2 - 9*T + 21*T^2 - 35*T^3 + 43*T^4 - 35*T^5 + 21*T^6 - 9*T^7 + 2*T^8)/
    T^4, (-33 + 148*T1 - 345*T1^2 + 575*T1^3 - 707*T1^4 + 575*T1^5 - 
     345*T1^6 + 148*T1^7 - 33*T1^8 + 148*T2 - 552*T1*T2 + 1046*T1^2*T2 - 
     1410*T1^3*T2 + 1222*T1^4*T2 - 182*T1^5*T2 - 402*T1^6*T2 + 506*T1^7*T2 - 
     354*T1^8*T2 + 112*T1^9*T2 - 345*T2^2 + 1046*T1*T2^2 - 1533*T1^2*T2^2 + 
     1562*T1^3*T2^2 - 519*T1^4*T2^2 - 1621*T1^5*T2^2 + 1329*T1^6*T2^2 - 
     622*T1^7*T2^2 + 63*T1^8*T2^2 + 290*T1^9*T2^2 - 177*T1^10*T2^2 + 
     575*T2^3 - 1410*T1*T2^3 + 1562*T1^2*T2^3 - 1229*T1^3*T2^3 - 
     366*T1^4*T2^3 + 2793*T1^5*T2^3 - 189*T1^6*T2^3 - 702*T1^7*T2^3 + 
     871*T1^8*T2^3 - 769*T1^9*T2^3 + 102*T1^10*T2^3 + 155*T1^11*T2^3 - 
     707*T2^4 + 1222*T1*T2^4 - 519*T1^2*T2^4 - 366*T1^3*T2^4 + 
     2459*T1^4*T2^4 - 4573*T1^5*T2^4 - 759*T1^6*T2^4 + 343*T1^7*T2^4 + 
     183*T1^8*T2^4 - 436*T1^9*T2^4 + 1035*T1^10*T2^4 - 614*T1^11*T2^4 - 
     19*T1^12*T2^4 + 575*T2^5 - 182*T1*T2^5 - 1621*T1^2*T2^5 + 
     2793*T1^3*T2^5 - 4573*T1^4*T2^5 + 4706*T1^5*T2^5 + 3144*T1^6*T2^5 + 
     330*T1^7*T2^5 - 1556*T1^8*T2^5 + 1284*T1^9*T2^5 - 1253*T1^10*T2^5 + 
     8*T1^11*T2^5 + 646*T1^12*T2^5 - 125*T1^13*T2^5 - 345*T2^6 - 
     402*T1*T2^6 + 1329*T1^2*T2^6 - 189*T1^3*T2^6 - 759*T1^4*T2^6 + 
     3144*T1^5*T2^6 - 8902*T1^6*T2^6 - 978*T1^7*T2^6 + 2858*T1^8*T2^6 - 
     972*T1^9*T2^6 + 291*T1^10*T2^6 + 1197*T1^11*T2^6 - 1107*T1^12*T2^6 - 
     150*T1^13*T2^6 + 159*T1^14*T2^6 + 148*T2^7 + 506*T1*T2^7 - 
     622*T1^2*T2^7 - 702*T1^3*T2^7 + 343*T1^4*T2^7 + 330*T1^5*T2^7 - 
     978*T1^6*T2^7 + 12455*T1^7*T2^7 - 8419*T1^8*T2^7 + 961*T1^9*T2^7 + 
     540*T1^10*T2^7 - 1750*T1^11*T2^7 + 698*T1^12*T2^7 + 827*T1^13*T2^7 - 
     250*T1^14*T2^7 - 104*T1^15*T2^7 - 33*T2^8 - 354*T1*T2^8 + 63*T1^2*T2^8 + 
     871*T1^3*T2^8 + 183*T1^4*T2^8 - 1556*T1^5*T2^8 + 2858*T1^6*T2^8 - 
     8419*T1^7*T2^8 - 852*T1^8*T2^8 + 8563*T1^9*T2^8 - 4856*T1^10*T2^8 + 
     3032*T1^11*T2^8 - 457*T1^12*T2^8 - 1019*T1^13*T2^8 - 111*T1^14*T2^8 + 
     330*T1^15*T2^8 + 31*T1^16*T2^8 + 112*T1*T2^9 + 290*T1^2*T2^9 - 
     769*T1^3*T2^9 - 436*T1^4*T2^9 + 1284*T1^5*T2^9 - 972*T1^6*T2^9 + 
     961*T1^7*T2^9 + 8563*T1^8*T2^9 - 12311*T1^9*T2^9 + 2900*T1^10*T2^9 - 
     762*T1^11*T2^9 - 809*T1^12*T2^9 + 964*T1^13*T2^9 + 680*T1^14*T2^9 - 
     466*T1^15*T2^9 - 140*T1^16*T2^9 - 177*T1^2*T2^10 + 102*T1^3*T2^10 + 
     1035*T1^4*T2^10 - 1253*T1^5*T2^10 + 291*T1^6*T2^10 + 540*T1^7*T2^10 - 
     4856*T1^8*T2^10 + 2900*T1^9*T2^10 + 6904*T1^10*T2^10 - 
     3576*T1^11*T2^10 + 1341*T1^12*T2^10 + 133*T1^13*T2^10 - 
     1401*T1^14*T2^10 + 354*T1^15*T2^10 + 327*T1^16*T2^10 + 155*T1^3*T2^11 - 
     614*T1^4*T2^11 + 8*T1^5*T2^11 + 1197*T1^6*T2^11 - 1750*T1^7*T2^11 + 
     3032*T1^8*T2^11 - 762*T1^9*T2^11 - 3576*T1^10*T2^11 - 3230*T1^11*T2^11 + 
     4107*T1^12*T2^11 - 2849*T1^13*T2^11 + 1637*T1^14*T2^11 + 
     214*T1^15*T2^11 - 545*T1^16*T2^11 - 19*T1^4*T2^12 + 646*T1^5*T2^12 - 
     1107*T1^6*T2^12 + 698*T1^7*T2^12 - 457*T1^8*T2^12 - 809*T1^9*T2^12 + 
     1341*T1^10*T2^12 + 4107*T1^11*T2^12 - 2733*T1^12*T2^12 + 
     628*T1^13*T2^12 + 447*T1^14*T2^12 - 1190*T1^15*T2^12 + 669*T1^16*T2^12 - 
     125*T1^5*T2^13 - 150*T1^6*T2^13 + 827*T1^7*T2^13 - 1019*T1^8*T2^13 + 
     964*T1^9*T2^13 + 133*T1^10*T2^13 - 2849*T1^11*T2^13 + 628*T1^12*T2^13 + 
     1081*T1^13*T2^13 - 1504*T1^14*T2^13 + 1362*T1^15*T2^13 - 
     545*T1^16*T2^13 + 159*T1^6*T2^14 - 250*T1^7*T2^14 - 111*T1^8*T2^14 + 
     680*T1^9*T2^14 - 1401*T1^10*T2^14 + 1637*T1^11*T2^14 + 447*T1^12*T2^14 - 
     1504*T1^13*T2^14 + 1485*T1^14*T2^14 - 1006*T1^15*T2^14 + 
     327*T1^16*T2^14 - 104*T1^7*T2^15 + 330*T1^8*T2^15 - 466*T1^9*T2^15 + 
     354*T1^10*T2^15 + 214*T1^11*T2^15 - 1190*T1^12*T2^15 + 
     1362*T1^13*T2^15 - 1006*T1^14*T2^15 + 528*T1^15*T2^15 - 
     140*T1^16*T2^15 + 31*T1^8*T2^16 - 140*T1^9*T2^16 + 327*T1^10*T2^16 - 
     545*T1^11*T2^16 + 669*T1^12*T2^16 - 545*T1^13*T2^16 + 327*T1^14*T2^16 - 
     140*T1^15*T2^16 + 31*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1240] -> 
  {(2 - 8*T + 14*T^2 - 16*T^3 + 17*T^4 - 16*T^5 + 14*T^6 - 8*T^7 + 2*T^8)/
    T^4, (-47 + 188*T1 - 328*T1^2 + 374*T1^3 - 397*T1^4 + 374*T1^5 - 
     328*T1^6 + 188*T1^7 - 47*T1^8 + 188*T2 - 596*T1*T2 + 688*T1^2*T2 - 
     408*T1^3*T2 + 348*T1^4*T2 - 180*T1^5*T2 + 72*T1^6*T2 + 336*T1^7*T2 - 
     436*T1^8*T2 + 156*T1^9*T2 - 328*T2^2 + 688*T1*T2^2 + 2*T1^2*T2^2 - 
     919*T1^3*T2^2 + 756*T1^4*T2^2 - 1014*T1^5*T2^2 + 924*T1^6*T2^2 - 
     1367*T1^7*T2^2 + 674*T1^8*T2^2 + 240*T1^9*T2^2 - 216*T1^10*T2^2 + 
     374*T2^3 - 408*T1*T2^3 - 919*T1^2*T2^3 + 1450*T1^3*T2^3 - 
     309*T1^4*T2^3 + 622*T1^5*T2^3 - 194*T1^6*T2^3 + 651*T1^7*T2^3 + 
     714*T1^8*T2^3 - 1143*T1^9*T2^3 + 136*T1^10*T2^3 + 182*T1^11*T2^3 - 
     397*T2^4 + 348*T1*T2^4 + 756*T1^2*T2^4 - 309*T1^3*T2^4 - 
     1251*T1^4*T2^4 + 333*T1^5*T2^4 - 805*T1^6*T2^4 + 13*T1^7*T2^4 - 
     1259*T1^8*T2^4 + 587*T1^9*T2^4 + 612*T1^10*T2^4 - 228*T1^11*T2^4 - 
     125*T1^12*T2^4 + 374*T2^5 - 180*T1*T2^5 - 1014*T1^2*T2^5 + 
     622*T1^3*T2^5 + 333*T1^4*T2^5 + 1128*T1^5*T2^5 - 356*T1^6*T2^5 + 
     972*T1^7*T2^5 + 528*T1^8*T2^5 + 29*T1^9*T2^5 - 290*T1^10*T2^5 - 
     438*T1^11*T2^5 + 284*T1^12*T2^5 + 54*T1^13*T2^5 - 328*T2^6 + 
     72*T1*T2^6 + 924*T1^2*T2^6 - 194*T1^3*T2^6 - 805*T1^4*T2^6 - 
     356*T1^5*T2^6 - 978*T1^6*T2^6 + 524*T1^7*T2^6 - 1630*T1^8*T2^6 + 
     828*T1^9*T2^6 - 429*T1^10*T2^6 + 478*T1^11*T2^6 + 132*T1^12*T2^6 - 
     248*T1^13*T2^6 + 8*T1^14*T2^6 + 188*T2^7 + 336*T1*T2^7 - 
     1367*T1^2*T2^7 + 651*T1^3*T2^7 + 13*T1^4*T2^7 + 972*T1^5*T2^7 + 
     524*T1^6*T2^7 + 222*T1^7*T2^7 + 206*T1^8*T2^7 + 396*T1^9*T2^7 - 
     644*T1^10*T2^7 + 381*T1^11*T2^7 - 565*T1^12*T2^7 + 201*T1^13*T2^7 + 
     112*T1^14*T2^7 - 36*T1^15*T2^7 - 47*T2^8 - 436*T1*T2^8 + 674*T1^2*T2^8 + 
     714*T1^3*T2^8 - 1259*T1^4*T2^8 + 528*T1^5*T2^8 - 1630*T1^6*T2^8 + 
     206*T1^7*T2^8 - 72*T1^8*T2^8 - 178*T1^9*T2^8 + 338*T1^10*T2^8 + 
     144*T1^11*T2^8 + 21*T1^12*T2^8 + 330*T1^13*T2^8 - 382*T1^14*T2^8 + 
     76*T1^15*T2^8 + 17*T1^16*T2^8 + 156*T1*T2^9 + 240*T1^2*T2^9 - 
     1143*T1^3*T2^9 + 587*T1^4*T2^9 + 29*T1^5*T2^9 + 828*T1^6*T2^9 + 
     396*T1^7*T2^9 - 178*T1^8*T2^9 - 194*T1^9*T2^9 + 268*T1^10*T2^9 - 
     788*T1^11*T2^9 + 397*T1^12*T2^9 - 629*T1^13*T2^9 + 425*T1^14*T2^9 + 
     16*T1^15*T2^9 - 68*T1^16*T2^9 - 216*T1^2*T2^10 + 136*T1^3*T2^10 + 
     612*T1^4*T2^10 - 290*T1^5*T2^10 - 429*T1^6*T2^10 - 644*T1^7*T2^10 + 
     338*T1^8*T2^10 + 268*T1^9*T2^10 - 314*T1^10*T2^10 + 540*T1^11*T2^10 - 
     53*T1^12*T2^10 + 382*T1^13*T2^10 - 180*T1^14*T2^10 - 184*T1^15*T2^10 + 
     120*T1^16*T2^10 + 182*T1^3*T2^11 - 228*T1^4*T2^11 - 438*T1^5*T2^11 + 
     478*T1^6*T2^11 + 381*T1^7*T2^11 + 144*T1^8*T2^11 - 788*T1^9*T2^11 + 
     540*T1^10*T2^11 - 456*T1^11*T2^11 + 77*T1^12*T2^11 - 434*T1^13*T2^11 + 
     138*T1^14*T2^11 + 236*T1^15*T2^11 - 138*T1^16*T2^11 - 125*T1^4*T2^12 + 
     284*T1^5*T2^12 + 132*T1^6*T2^12 - 565*T1^7*T2^12 + 21*T1^8*T2^12 + 
     397*T1^9*T2^12 - 53*T1^10*T2^12 + 77*T1^11*T2^12 + 13*T1^12*T2^12 + 
     331*T1^13*T2^12 - 12*T1^14*T2^12 - 292*T1^15*T2^12 + 147*T1^16*T2^12 + 
     54*T1^5*T2^13 - 248*T1^6*T2^13 + 201*T1^7*T2^13 + 330*T1^8*T2^13 - 
     629*T1^9*T2^13 + 382*T1^10*T2^13 - 434*T1^11*T2^13 + 331*T1^12*T2^13 - 
     406*T1^13*T2^13 - 23*T1^14*T2^13 + 296*T1^15*T2^13 - 138*T1^16*T2^13 + 
     8*T1^6*T2^14 + 112*T1^7*T2^14 - 382*T1^8*T2^14 + 425*T1^9*T2^14 - 
     180*T1^10*T2^14 + 138*T1^11*T2^14 - 12*T1^12*T2^14 - 23*T1^13*T2^14 + 
     290*T1^14*T2^14 - 336*T1^15*T2^14 + 120*T1^16*T2^14 - 36*T1^7*T2^15 + 
     76*T1^8*T2^15 + 16*T1^9*T2^15 - 184*T1^10*T2^15 + 236*T1^11*T2^15 - 
     292*T1^12*T2^15 + 296*T1^13*T2^15 - 336*T1^14*T2^15 + 236*T1^15*T2^15 - 
     68*T1^16*T2^15 + 17*T1^8*T2^16 - 68*T1^9*T2^16 + 120*T1^10*T2^16 - 
     138*T1^11*T2^16 + 147*T1^12*T2^16 - 138*T1^13*T2^16 + 120*T1^14*T2^16 - 
     68*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1241] -> 
  {(4 - 18*T + 35*T^2 - 41*T^3 + 35*T^4 - 18*T^5 + 4*T^6)/T^3, 
   (-256 + 1148*T1 - 2220*T1^2 + 2592*T1^3 - 2220*T1^4 + 1148*T1^5 - 
     256*T1^6 + 1148*T2 - 4290*T1*T2 + 6108*T1^2*T2 - 4192*T1^3*T2 + 
     1280*T1^4*T2 + 2292*T1^5*T2 - 2706*T1^6*T2 + 860*T1^7*T2 - 2220*T2^2 + 
     6108*T1*T2^2 - 3033*T1^2*T2^2 - 6194*T1^3*T2^2 + 10611*T1^4*T2^2 - 
     12634*T1^5*T2^2 + 5647*T1^6*T2^2 + 1068*T1^7*T2^2 - 1100*T1^8*T2^2 + 
     2592*T2^3 - 4192*T1*T2^3 - 6194*T1^2*T2^3 + 17550*T1^3*T2^3 - 
     13731*T1^4*T2^3 + 8073*T1^5*T2^3 + 6300*T1^6*T2^3 - 9554*T1^7*T2^3 + 
     2144*T1^8*T2^3 + 624*T1^9*T2^3 - 2220*T2^4 + 1280*T1*T2^4 + 
     10611*T1^2*T2^4 - 13731*T1^3*T2^4 - 1967*T1^4*T2^4 + 9839*T1^5*T2^4 - 
     18555*T1^6*T2^4 + 9065*T1^7*T2^4 + 3643*T1^8*T2^4 - 2896*T1^9*T2^4 + 
     20*T1^10*T2^4 + 1148*T2^5 + 2292*T1*T2^5 - 12634*T1^2*T2^5 + 
     8073*T1^3*T2^5 + 9839*T1^4*T2^5 - 9747*T1^5*T2^5 + 7063*T1^6*T2^5 + 
     6234*T1^7*T2^5 - 11747*T1^8*T2^5 + 3046*T1^9*T2^5 + 1212*T1^10*T2^5 - 
     292*T1^11*T2^5 - 256*T2^6 - 2706*T1*T2^6 + 5647*T1^2*T2^6 + 
     6300*T1^3*T2^6 - 18555*T1^4*T2^6 + 7063*T1^5*T2^6 + 3276*T1^6*T2^6 - 
     10839*T1^7*T2^6 + 7619*T1^8*T2^6 + 3624*T1^9*T2^6 - 4521*T1^10*T2^6 + 
     750*T1^11*T2^6 + 128*T1^12*T2^6 + 860*T1*T2^7 + 1068*T1^2*T2^7 - 
     9554*T1^3*T2^7 + 9065*T1^4*T2^7 + 6234*T1^5*T2^7 - 10839*T1^6*T2^7 + 
     5971*T1^7*T2^7 + 2629*T1^8*T2^7 - 10755*T1^9*T2^7 + 6126*T1^10*T2^7 - 
     12*T1^11*T2^7 - 580*T1^12*T2^7 - 1100*T1^2*T2^8 + 2144*T1^3*T2^8 + 
     3643*T1^4*T2^8 - 11747*T1^5*T2^8 + 7619*T1^6*T2^8 + 2629*T1^7*T2^8 - 
     8969*T1^8*T2^8 + 11049*T1^9*T2^8 - 3325*T1^10*T2^8 - 2032*T1^11*T2^8 + 
     1140*T1^12*T2^8 + 624*T1^3*T2^9 - 2896*T1^4*T2^9 + 3046*T1^5*T2^9 + 
     3624*T1^6*T2^9 - 10755*T1^7*T2^9 + 11049*T1^8*T2^9 - 7626*T1^9*T2^9 - 
     314*T1^10*T2^9 + 3440*T1^11*T2^9 - 1344*T1^12*T2^9 + 20*T1^4*T2^10 + 
     1212*T1^5*T2^10 - 4521*T1^6*T2^10 + 6126*T1^7*T2^10 - 3325*T1^8*T2^10 - 
     314*T1^9*T2^10 + 4159*T1^10*T2^10 - 3828*T1^11*T2^10 + 
     1140*T1^12*T2^10 - 292*T1^5*T2^11 + 750*T1^6*T2^11 - 12*T1^7*T2^11 - 
     2032*T1^8*T2^11 + 3440*T1^9*T2^11 - 3828*T1^10*T2^11 + 
     2334*T1^11*T2^11 - 580*T1^12*T2^11 + 128*T1^6*T2^12 - 580*T1^7*T2^12 + 
     1140*T1^8*T2^12 - 1344*T1^9*T2^12 + 1140*T1^10*T2^12 - 580*T1^11*T2^12 + 
     128*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1242] -> 
  {-((2 - 5*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 5*T^7 + 2*T^8)/T^4), 
   -((-55 + 137*T1 - 164*T1^2 + 191*T1^3 - 191*T1^4 + 191*T1^5 - 164*T1^6 + 
      137*T1^7 - 55*T1^8 + 137*T2 - 224*T1*T2 + 117*T1^2*T2 - 127*T1^3*T2 + 
      70*T1^4*T2 - 70*T1^5*T2 + 3*T1^6*T2 + 7*T1^7*T2 - 154*T1^8*T2 + 
      117*T1^9*T2 - 164*T2^2 + 117*T1*T2^2 + 130*T1^2*T2^2 - 36*T1^3*T2^2 + 
      123*T1^4*T2^2 - 70*T1^5*T2^2 + 147*T1^6*T2^2 - 84*T1^7*T2^2 + 
      226*T1^8*T2^2 - 3*T1^9*T2^2 - 116*T1^10*T2^2 + 191*T2^3 - 127*T1*T2^3 - 
      36*T1^2*T2^3 - 192*T1^3*T2^3 + 40*T1^4*T2^3 - 127*T1^5*T2^3 - 
      T1^6*T2^3 - 74*T1^7*T2^3 - 144*T1^8*T2^3 - 78*T1^9*T2^3 + 
      23*T1^10*T2^3 + 107*T1^11*T2^3 - 191*T2^4 + 70*T1*T2^4 + 
      123*T1^2*T2^4 + 40*T1^3*T2^4 + 242*T1^4*T2^4 - 137*T1^5*T2^4 + 
      298*T1^6*T2^4 - 179*T1^7*T2^4 + 382*T1^8*T2^4 - 72*T1^9*T2^4 + 
      109*T1^10*T2^4 - 70*T1^11*T2^4 - 79*T1^12*T2^4 + 191*T2^5 - 
      70*T1*T2^5 - 70*T1^2*T2^5 - 127*T1^3*T2^5 - 137*T1^4*T2^5 - 
      55*T1^5*T2^5 - 75*T1^6*T2^5 - 68*T1^7*T2^5 - 139*T1^8*T2^5 - 
      144*T1^9*T2^5 + 27*T1^10*T2^5 - 49*T1^11*T2^5 + 70*T1^12*T2^5 + 
      51*T1^13*T2^5 - 164*T2^6 + 3*T1*T2^6 + 147*T1^2*T2^6 - T1^3*T2^6 + 
      298*T1^4*T2^6 - 75*T1^5*T2^6 + 214*T1^6*T2^6 - 122*T1^7*T2^6 + 
      306*T1^8*T2^6 - 47*T1^9*T2^6 + 158*T1^10*T2^6 - 85*T1^11*T2^6 + 
      47*T1^12*T2^6 - 77*T1^13*T2^6 - 20*T1^14*T2^6 + 137*T2^7 + 7*T1*T2^7 - 
      84*T1^2*T2^7 - 74*T1^3*T2^7 - 179*T1^4*T2^7 - 68*T1^5*T2^7 - 
      122*T1^6*T2^7 + 65*T1^7*T2^7 - 143*T1^8*T2^7 - 67*T1^9*T2^7 - 
      33*T1^10*T2^7 - 32*T1^11*T2^7 + 48*T1^12*T2^7 - 6*T1^13*T2^7 + 
      57*T1^14*T2^7 - 3*T1^15*T2^7 - 55*T2^8 - 154*T1*T2^8 + 226*T1^2*T2^8 - 
      144*T1^3*T2^8 + 382*T1^4*T2^8 - 139*T1^5*T2^8 + 306*T1^6*T2^8 - 
      143*T1^7*T2^8 + 48*T1^8*T2^8 + 107*T1^9*T2^8 - 28*T1^10*T2^8 + 
      71*T1^11*T2^8 - 70*T1^12*T2^8 + 8*T1^13*T2^8 - 44*T1^14*T2^8 - 
      14*T1^15*T2^8 + 9*T1^16*T2^8 + 117*T1*T2^9 - 3*T1^2*T2^9 - 
      78*T1^3*T2^9 - 72*T1^4*T2^9 - 144*T1^5*T2^9 - 47*T1^6*T2^9 - 
      67*T1^7*T2^9 + 107*T1^8*T2^9 - 101*T1^9*T2^9 - 12*T1^10*T2^9 - 
      12*T1^11*T2^9 + 3*T1^12*T2^9 + 50*T1^13*T2^9 + 47*T1^15*T2^9 - 
      23*T1^16*T2^9 - 116*T1^2*T2^10 + 23*T1^3*T2^10 + 109*T1^4*T2^10 + 
      27*T1^5*T2^10 + 158*T1^6*T2^10 - 33*T1^7*T2^10 - 28*T1^8*T2^10 - 
      12*T1^9*T2^10 + 64*T1^10*T2^10 - 5*T1^11*T2^10 + 18*T1^12*T2^10 - 
      57*T1^13*T2^10 + 9*T1^14*T2^10 - 57*T1^15*T2^10 + 28*T1^16*T2^10 + 
      107*T1^3*T2^11 - 70*T1^4*T2^11 - 49*T1^5*T2^11 - 85*T1^6*T2^11 - 
      32*T1^7*T2^11 + 71*T1^8*T2^11 - 12*T1^9*T2^11 - 5*T1^10*T2^11 - 
      13*T1^11*T2^11 - 39*T1^12*T2^11 + 69*T1^13*T2^11 - 28*T1^14*T2^11 + 
      70*T1^15*T2^11 - 33*T1^16*T2^11 - 79*T1^4*T2^12 + 70*T1^5*T2^12 + 
      47*T1^6*T2^12 + 48*T1^7*T2^12 - 70*T1^8*T2^12 + 3*T1^9*T2^12 + 
      18*T1^10*T2^12 - 39*T1^11*T2^12 + 70*T1^12*T2^12 - 64*T1^13*T2^12 + 
      33*T1^14*T2^12 - 70*T1^15*T2^12 + 33*T1^16*T2^12 + 51*T1^5*T2^13 - 
      77*T1^6*T2^13 - 6*T1^7*T2^13 + 8*T1^8*T2^13 + 50*T1^9*T2^13 - 
      57*T1^10*T2^13 + 69*T1^11*T2^13 - 64*T1^12*T2^13 + 56*T1^13*T2^13 - 
      48*T1^14*T2^13 + 73*T1^15*T2^13 - 33*T1^16*T2^13 - 20*T1^6*T2^14 + 
      57*T1^7*T2^14 - 44*T1^8*T2^14 + 9*T1^10*T2^14 - 28*T1^11*T2^14 + 
      33*T1^12*T2^14 - 48*T1^13*T2^14 + 52*T1^14*T2^14 - 63*T1^15*T2^14 + 
      28*T1^16*T2^14 - 3*T1^7*T2^15 - 14*T1^8*T2^15 + 47*T1^9*T2^15 - 
      57*T1^10*T2^15 + 70*T1^11*T2^15 - 70*T1^12*T2^15 + 73*T1^13*T2^15 - 
      63*T1^14*T2^15 + 56*T1^15*T2^15 - 23*T1^16*T2^15 + 9*T1^8*T2^16 - 
      23*T1^9*T2^16 + 28*T1^10*T2^16 - 33*T1^11*T2^16 + 33*T1^12*T2^16 - 
      33*T1^13*T2^16 + 28*T1^14*T2^16 - 23*T1^15*T2^16 + 9*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1243] -> 
  {-((4 - 12*T + 17*T^2 - 19*T^3 + 17*T^4 - 12*T^5 + 4*T^6)/T^3), 
   -((-320 + 952*T1 - 1340*T1^2 + 1496*T1^3 - 1340*T1^4 + 952*T1^5 - 
      320*T1^6 + 952*T2 - 2072*T1*T2 + 1730*T1^2*T2 - 1278*T1^3*T2 + 
      450*T1^4*T2 + 338*T1^5*T2 - 1304*T1^6*T2 + 760*T1^7*T2 - 1340*T2^2 + 
      1730*T1*T2^2 + 376*T1^2*T2^2 - 1047*T1^3*T2^2 + 1882*T1^4*T2^2 - 
      1999*T1^5*T2^2 + 2144*T1^6*T2^2 + 98*T1^7*T2^2 - 796*T1^8*T2^2 + 
      1496*T2^3 - 1278*T1*T2^3 - 1047*T1^2*T2^3 + 352*T1^3*T2^3 - 
      598*T1^4*T2^3 + 134*T1^5*T2^3 - 320*T1^6*T2^3 - 1659*T1^7*T2^3 + 
      642*T1^8*T2^3 + 584*T1^9*T2^3 - 1340*T2^4 + 450*T1*T2^4 + 
      1882*T1^2*T2^4 - 598*T1^3*T2^4 + 1163*T1^4*T2^4 - 975*T1^5*T2^4 + 
      1507*T1^6*T2^4 + 162*T1^7*T2^4 + 1034*T1^8*T2^4 - 990*T1^9*T2^4 - 
      252*T1^10*T2^4 + 952*T2^5 + 338*T1*T2^5 - 1999*T1^2*T2^5 + 
      134*T1^3*T2^5 - 975*T1^4*T2^5 + 1033*T1^5*T2^5 - 1247*T1^6*T2^5 - 
      346*T1^7*T2^5 - 542*T1^8*T2^5 - 27*T1^9*T2^5 + 770*T1^10*T2^5 - 
      8*T1^11*T2^5 - 320*T2^6 - 1304*T1*T2^6 + 2144*T1^2*T2^6 - 
      320*T1^3*T2^6 + 1507*T1^4*T2^6 - 1247*T1^5*T2^6 + 384*T1^6*T2^6 + 
      1043*T1^7*T2^6 - 291*T1^8*T2^6 + 712*T1^9*T2^6 - 824*T1^10*T2^6 - 
      152*T1^11*T2^6 + 64*T1^12*T2^6 + 760*T1*T2^7 + 98*T1^2*T2^7 - 
      1659*T1^3*T2^7 + 162*T1^4*T2^7 - 346*T1^5*T2^7 + 1043*T1^6*T2^7 - 
      1237*T1^7*T2^7 + 283*T1^8*T2^7 - 514*T1^9*T2^7 + 313*T1^10*T2^7 + 
      530*T1^11*T2^7 - 200*T1^12*T2^7 - 796*T1^2*T2^8 + 642*T1^3*T2^8 + 
      1034*T1^4*T2^8 - 542*T1^5*T2^8 - 291*T1^6*T2^8 + 283*T1^7*T2^8 + 
      53*T1^8*T2^8 + 218*T1^9*T2^8 + 186*T1^10*T2^8 - 798*T1^11*T2^8 + 
      292*T1^12*T2^8 + 584*T1^3*T2^9 - 990*T1^4*T2^9 - 27*T1^5*T2^9 + 
      712*T1^6*T2^9 - 514*T1^7*T2^9 + 218*T1^8*T2^9 + 40*T1^9*T2^9 - 
      639*T1^10*T2^9 + 930*T1^11*T2^9 - 328*T1^12*T2^9 - 252*T1^4*T2^10 + 
      770*T1^5*T2^10 - 824*T1^6*T2^10 + 313*T1^7*T2^10 + 186*T1^8*T2^10 - 
      639*T1^9*T2^10 + 944*T1^10*T2^10 - 862*T1^11*T2^10 + 292*T1^12*T2^10 - 
      8*T1^5*T2^11 - 152*T1^6*T2^11 + 530*T1^7*T2^11 - 798*T1^8*T2^11 + 
      930*T1^9*T2^11 - 862*T1^10*T2^11 + 616*T1^11*T2^11 - 200*T1^12*T2^11 + 
      64*T1^6*T2^12 - 200*T1^7*T2^12 + 292*T1^8*T2^12 - 328*T1^9*T2^12 + 
      292*T1^10*T2^12 - 200*T1^11*T2^12 + 64*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, Alternating, 1244] -> 
  {-((2 - 8*T + 16*T^2 - 22*T^3 + 23*T^4 - 22*T^5 + 16*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-39 + 156*T1 - 312*T1^2 + 428*T1^3 - 447*T1^4 + 428*T1^5 - 
      312*T1^6 + 156*T1^7 - 39*T1^8 + 156*T2 - 500*T1*T2 + 752*T1^2*T2 - 
      720*T1^3*T2 + 428*T1^4*T2 - 292*T1^5*T2 - 112*T1^6*T2 + 368*T1^7*T2 - 
      340*T1^8*T2 + 124*T1^9*T2 - 312*T2^2 + 752*T1*T2^2 - 696*T1^2*T2^2 + 
      180*T1^3*T2^2 + 436*T1^4*T2^2 - 304*T1^5*T2^2 + 884*T1^6*T2^2 - 
      716*T1^7*T2^2 + 200*T1^8*T2^2 + 240*T1^9*T2^2 - 184*T1^10*T2^2 + 
      428*T2^3 - 720*T1*T2^3 + 180*T1^2*T2^3 + 528*T1^3*T2^3 - 
      876*T1^4*T2^3 - 6*T1^5*T2^3 - 750*T1^6*T2^3 - 104*T1^7*T2^3 + 
      624*T1^8*T2^3 - 652*T1^9*T2^3 + 80*T1^10*T2^3 + 164*T1^11*T2^3 - 
      447*T2^4 + 428*T1*T2^4 + 436*T1^2*T2^4 - 876*T1^3*T2^4 + 
      686*T1^4*T2^4 + 587*T1^5*T2^4 + 764*T1^6*T2^4 + 475*T1^7*T2^4 - 
      378*T1^8*T2^4 + 4*T1^9*T2^4 + 564*T1^10*T2^4 - 340*T1^11*T2^4 - 
      79*T1^12*T2^4 + 428*T2^5 - 292*T1*T2^5 - 304*T1^2*T2^5 - 6*T1^3*T2^5 + 
      587*T1^4*T2^5 - 1504*T1^5*T2^5 - 581*T1^6*T2^5 - 725*T1^7*T2^5 + 
      40*T1^8*T2^5 + 327*T1^9*T2^5 - 478*T1^10*T2^5 - 112*T1^11*T2^5 + 
      364*T1^12*T2^5 - 12*T1^13*T2^5 - 312*T2^6 - 112*T1*T2^6 + 
      884*T1^2*T2^6 - 750*T1^3*T2^6 + 764*T1^4*T2^6 - 581*T1^5*T2^6 + 
      2471*T1^6*T2^6 - 387*T1^7*T2^6 + 455*T1^8*T2^6 - 325*T1^9*T2^6 - 
      4*T1^10*T2^6 + 402*T1^11*T2^6 - 204*T1^12*T2^6 - 240*T1^13*T2^6 + 
      72*T1^14*T2^6 + 156*T2^7 + 368*T1*T2^7 - 716*T1^2*T2^7 - 
      104*T1^3*T2^7 + 475*T1^4*T2^7 - 725*T1^5*T2^7 - 387*T1^6*T2^7 - 
      1794*T1^7*T2^7 + 1324*T1^8*T2^7 - 327*T1^9*T2^7 + 219*T1^10*T2^7 + 
      143*T1^11*T2^7 - 444*T1^12*T2^7 + 500*T1^13*T2^7 - 16*T1^14*T2^7 - 
      68*T1^15*T2^7 - 39*T2^8 - 340*T1*T2^8 + 200*T1^2*T2^8 + 624*T1^3*T2^8 - 
      378*T1^4*T2^8 + 40*T1^5*T2^8 + 455*T1^6*T2^8 + 1324*T1^7*T2^8 - 
      336*T1^8*T2^8 - 1116*T1^9*T2^8 + 471*T1^10*T2^8 - 808*T1^11*T2^8 + 
      550*T1^12*T2^8 - 192*T1^13*T2^8 - 312*T1^14*T2^8 + 172*T1^15*T2^8 + 
      25*T1^16*T2^8 + 124*T1*T2^9 + 240*T1^2*T2^9 - 652*T1^3*T2^9 + 
      4*T1^4*T2^9 + 327*T1^5*T2^9 - 325*T1^6*T2^9 - 327*T1^7*T2^9 - 
      1116*T1^8*T2^9 + 2002*T1^9*T2^9 - 267*T1^10*T2^9 + 619*T1^11*T2^9 - 
      5*T1^12*T2^9 - 336*T1^13*T2^9 + 564*T1^14*T2^9 - 144*T1^15*T2^9 - 
      100*T1^16*T2^9 - 184*T1^2*T2^10 + 80*T1^3*T2^10 + 564*T1^4*T2^10 - 
      478*T1^5*T2^10 - 4*T1^6*T2^10 + 219*T1^7*T2^10 + 471*T1^8*T2^10 - 
      267*T1^9*T2^10 - 1545*T1^10*T2^10 + 475*T1^11*T2^10 - 772*T1^12*T2^10 + 
      674*T1^13*T2^10 - 524*T1^14*T2^10 - 48*T1^15*T2^10 + 200*T1^16*T2^10 + 
      164*T1^3*T2^11 - 340*T1^4*T2^11 - 112*T1^5*T2^11 + 402*T1^6*T2^11 + 
      143*T1^7*T2^11 - 808*T1^8*T2^11 + 619*T1^9*T2^11 + 475*T1^10*T2^11 + 
      736*T1^11*T2^11 - 117*T1^12*T2^11 - 70*T1^13*T2^11 + 80*T1^14*T2^11 + 
      316*T1^15*T2^11 - 276*T1^16*T2^11 - 79*T1^4*T2^12 + 364*T1^5*T2^12 - 
      204*T1^6*T2^12 - 444*T1^7*T2^12 + 550*T1^8*T2^12 - 5*T1^9*T2^12 - 
      772*T1^10*T2^12 - 117*T1^11*T2^12 - 514*T1^12*T2^12 + 436*T1^13*T2^12 - 
      76*T1^14*T2^12 - 404*T1^15*T2^12 + 289*T1^16*T2^12 - 12*T1^5*T2^13 - 
      240*T1^6*T2^13 + 500*T1^7*T2^13 - 192*T1^8*T2^13 - 336*T1^9*T2^13 + 
      674*T1^10*T2^13 - 70*T1^11*T2^13 + 436*T1^12*T2^13 - 96*T1^13*T2^13 - 
      332*T1^14*T2^13 + 560*T1^15*T2^13 - 276*T1^16*T2^13 + 72*T1^6*T2^14 - 
      16*T1^7*T2^14 - 312*T1^8*T2^14 + 564*T1^9*T2^14 - 524*T1^10*T2^14 + 
      80*T1^11*T2^14 - 76*T1^12*T2^14 - 332*T1^13*T2^14 + 584*T1^14*T2^14 - 
      528*T1^15*T2^14 + 200*T1^16*T2^14 - 68*T1^7*T2^15 + 172*T1^8*T2^15 - 
      144*T1^9*T2^15 - 48*T1^10*T2^15 + 316*T1^11*T2^15 - 404*T1^12*T2^15 + 
      560*T1^13*T2^15 - 528*T1^14*T2^15 + 332*T1^15*T2^15 - 100*T1^16*T2^15 + 
      25*T1^8*T2^16 - 100*T1^9*T2^16 + 200*T1^10*T2^16 - 276*T1^11*T2^16 + 
      289*T1^12*T2^16 - 276*T1^13*T2^16 + 200*T1^14*T2^16 - 100*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1245] -> 
  {-((4 - 18*T + 39*T^2 - 51*T^3 + 39*T^4 - 18*T^5 + 4*T^6)/T^3), 
   -((-192 + 860*T1 - 1860*T1^2 + 2432*T1^3 - 1860*T1^4 + 860*T1^5 - 
      192*T1^6 + 860*T2 - 3282*T1*T2 + 5780*T1^2*T2 - 5372*T1^3*T2 + 
      1108*T1^4*T2 + 1676*T1^5*T2 - 1698*T1^6*T2 + 572*T1^7*T2 - 1860*T2^2 + 
      5780*T1*T2^2 - 7237*T1^2*T2^2 + 1638*T1^3*T2^2 + 8349*T1^4*T2^2 - 
      8658*T1^5*T2^2 + 3683*T1^6*T2^2 + 164*T1^7*T2^2 - 612*T1^8*T2^2 + 
      2432*T2^3 - 5372*T1*T2^3 + 1638*T1^2*T2^3 + 10444*T1^3*T2^3 - 
      20101*T1^4*T2^3 + 8195*T1^5*T2^3 + 4090*T1^6*T2^3 - 6786*T1^7*T2^3 + 
      2836*T1^8*T2^3 - 16*T1^9*T2^3 - 1860*T2^4 + 1108*T1*T2^4 + 
      8349*T1^2*T2^4 - 20101*T1^3*T2^4 + 16980*T1^4*T2^4 + 10966*T1^5*T2^4 - 
      21768*T1^6*T2^4 + 12335*T1^7*T2^4 - 363*T1^8*T2^4 - 2780*T1^9*T2^4 + 
      636*T1^10*T2^4 + 860*T2^5 + 1676*T1*T2^5 - 8658*T1^2*T2^5 + 
      8195*T1^3*T2^5 + 10966*T1^4*T2^5 - 38197*T1^5*T2^5 + 28691*T1^6*T2^5 - 
      617*T1^7*T2^5 - 11821*T1^8*T2^5 + 7254*T1^9*T2^5 - 268*T1^10*T2^5 - 
      580*T1^11*T2^5 - 192*T2^6 - 1698*T1*T2^6 + 3683*T1^2*T2^6 + 
      4090*T1^3*T2^6 - 21768*T1^4*T2^6 + 28691*T1^5*T2^6 - 600*T1^6*T2^6 - 
      28063*T1^7*T2^6 + 22350*T1^8*T2^6 - 5018*T1^9*T2^6 - 3733*T1^10*T2^6 + 
      1758*T1^11*T2^6 + 192*T1^12*T2^6 + 572*T1*T2^7 + 164*T1^2*T2^7 - 
      6786*T1^3*T2^7 + 12335*T1^4*T2^7 - 617*T1^5*T2^7 - 28063*T1^6*T2^7 + 
      38825*T1^7*T2^7 - 12200*T1^8*T2^7 - 7681*T1^9*T2^7 + 9126*T1^10*T2^7 - 
      1780*T1^11*T2^7 - 868*T1^12*T2^7 - 612*T1^2*T2^8 + 2836*T1^3*T2^8 - 
      363*T1^4*T2^8 - 11821*T1^5*T2^8 + 22350*T1^6*T2^8 - 12200*T1^7*T2^8 - 
      16398*T1^8*T2^8 + 20615*T1^9*T2^8 - 9075*T1^10*T2^8 - 1052*T1^11*T2^8 + 
      1884*T1^12*T2^8 - 16*T1^3*T2^9 - 2780*T1^4*T2^9 + 7254*T1^5*T2^9 - 
      5018*T1^6*T2^9 - 7681*T1^7*T2^9 + 20615*T1^8*T2^9 - 11372*T1^9*T2^9 - 
      1170*T1^10*T2^9 + 5428*T1^11*T2^9 - 2464*T1^12*T2^9 + 636*T1^4*T2^10 - 
      268*T1^5*T2^10 - 3733*T1^6*T2^10 + 9126*T1^7*T2^10 - 9075*T1^8*T2^10 - 
      1170*T1^9*T2^10 + 7187*T1^10*T2^10 - 5884*T1^11*T2^10 + 
      1884*T1^12*T2^10 - 580*T1^5*T2^11 + 1758*T1^6*T2^11 - 1780*T1^7*T2^11 - 
      1052*T1^8*T2^11 + 5428*T1^9*T2^11 - 5884*T1^10*T2^11 + 
      3342*T1^11*T2^11 - 868*T1^12*T2^11 + 192*T1^6*T2^12 - 868*T1^7*T2^12 + 
      1884*T1^8*T2^12 - 2464*T1^9*T2^12 + 1884*T1^10*T2^12 - 
      868*T1^11*T2^12 + 192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1246] -> 
  {(1 - 4*T + 10*T^2 - 18*T^3 + 25*T^4 - 27*T^5 + 25*T^6 - 18*T^7 + 10*T^8 - 
     4*T^9 + T^10)/T^5, (-6 + 24*T1 - 60*T1^2 + 108*T1^3 - 150*T1^4 + 
     162*T1^5 - 150*T1^6 + 108*T1^7 - 60*T1^8 + 24*T1^9 - 6*T1^10 + 24*T2 - 
     76*T1*T2 + 160*T1^2*T2 - 232*T1^3*T2 + 240*T1^4*T2 - 148*T1^5*T2 + 
     60*T1^6*T2 + 68*T1^7*T2 - 120*T1^8*T2 + 104*T1^9*T2 - 56*T1^10*T2 + 
     20*T1^11*T2 - 60*T2^2 + 160*T1*T2^2 - 318*T1^2*T2^2 + 434*T1^3*T2^2 - 
     448*T1^4*T2^2 + 319*T1^5*T2^2 - 312*T1^6*T2^2 + 139*T1^7*T2^2 - 
     148*T1^8*T2^2 + 154*T1^9*T2^2 - 138*T1^10*T2^2 + 80*T1^11*T2^2 - 
     40*T1^12*T2^2 + 108*T2^3 - 232*T1*T2^3 + 434*T1^2*T2^3 - 518*T1^3*T2^3 + 
     466*T1^4*T2^3 - 226*T1^5*T2^3 + 304*T1^6*T2^3 + 62*T1^7*T2^3 + 
     52*T1^8*T2^3 + 20*T1^9*T2^3 - 52*T1^10*T2^3 + 94*T1^11*T2^3 - 
     56*T1^12*T2^3 + 54*T1^13*T2^3 - 150*T2^4 + 240*T1*T2^4 - 448*T1^2*T2^4 + 
     466*T1^3*T2^4 - 426*T1^4*T2^4 + 227*T1^5*T2^4 - 594*T1^6*T2^4 + 
     24*T1^7*T2^4 - 390*T1^8*T2^4 + 87*T1^9*T2^4 - 42*T1^10*T2^4 - 
     38*T1^11*T2^4 - 24*T1^12*T2^4 - 16*T1^13*T2^4 - 50*T1^14*T2^4 + 
     162*T2^5 - 148*T1*T2^5 + 319*T1^2*T2^5 - 226*T1^3*T2^5 + 227*T1^4*T2^5 - 
     95*T1^5*T2^5 + 678*T1^6*T2^5 + 242*T1^7*T2^5 + 482*T1^8*T2^5 + 
     123*T1^9*T2^5 + 25*T1^10*T2^5 + 32*T1^11*T2^5 + 104*T1^12*T2^5 - 
     11*T1^13*T2^5 + 92*T1^14*T2^5 + 27*T1^15*T2^5 - 150*T2^6 + 60*T1*T2^6 - 
     312*T1^2*T2^6 + 304*T1^3*T2^6 - 594*T1^4*T2^6 + 678*T1^5*T2^6 - 
     1364*T1^6*T2^6 + 52*T1^7*T2^6 - 1062*T1^8*T2^6 - 68*T1^9*T2^6 - 
     200*T1^10*T2^6 - 4*T1^11*T2^6 - 120*T1^12*T2^6 - 76*T1^13*T2^6 - 
     40*T1^14*T2^6 - 108*T1^15*T2^6 + 108*T2^7 + 68*T1*T2^7 + 139*T1^2*T2^7 + 
     62*T1^3*T2^7 + 24*T1^4*T2^7 + 242*T1^5*T2^7 + 52*T1^6*T2^7 + 
     1452*T1^7*T2^7 + 126*T1^8*T2^7 + 932*T1^9*T2^7 - 34*T1^10*T2^7 + 
     12*T1^11*T2^7 + 234*T1^12*T2^7 + 24*T1^13*T2^7 + 120*T1^14*T2^7 + 
     69*T1^15*T2^7 + 72*T1^16*T2^7 - 18*T1^17*T2^7 - 60*T2^8 - 120*T1*T2^8 - 
     148*T1^2*T2^8 + 52*T1^3*T2^8 - 390*T1^4*T2^8 + 482*T1^5*T2^8 - 
     1062*T1^6*T2^8 + 126*T1^7*T2^8 - 2086*T1^8*T2^8 + 688*T1^9*T2^8 - 
     1162*T1^10*T2^8 + 634*T1^11*T2^8 - 334*T1^12*T2^8 - 130*T1^13*T2^8 - 
     54*T1^14*T2^8 - 96*T1^15*T2^8 - 76*T1^16*T2^8 - 8*T1^17*T2^8 + 
     20*T1^18*T2^8 + 24*T2^9 + 104*T1*T2^9 + 154*T1^2*T2^9 + 20*T1^3*T2^9 + 
     87*T1^4*T2^9 + 123*T1^5*T2^9 - 68*T1^6*T2^9 + 932*T1^7*T2^9 + 
     688*T1^8*T2^9 + 961*T1^9*T2^9 - 529*T1^10*T2^9 + 473*T1^11*T2^9 - 
     470*T1^12*T2^9 + 292*T1^13*T2^9 + 170*T1^14*T2^9 - 48*T1^15*T2^9 + 
     118*T1^16*T2^9 + 14*T1^17*T2^9 - 32*T1^18*T2^9 - 12*T1^19*T2^9 - 
     6*T2^10 - 56*T1*T2^10 - 138*T1^2*T2^10 - 52*T1^3*T2^10 - 42*T1^4*T2^10 + 
     25*T1^5*T2^10 - 200*T1^6*T2^10 - 34*T1^7*T2^10 - 1162*T1^8*T2^10 - 
     529*T1^9*T2^10 + 108*T1^10*T2^10 + 373*T1^11*T2^10 - 24*T1^12*T2^10 + 
     390*T1^13*T2^10 - 484*T1^14*T2^10 + 115*T1^15*T2^10 - 30*T1^16*T2^10 - 
     56*T1^17*T2^10 + 50*T1^18*T2^10 + 32*T1^19*T2^10 + 4*T1^20*T2^10 + 
     20*T1*T2^11 + 80*T1^2*T2^11 + 94*T1^3*T2^11 - 38*T1^4*T2^11 + 
     32*T1^5*T2^11 - 4*T1^6*T2^11 + 12*T1^7*T2^11 + 634*T1^8*T2^11 + 
     473*T1^9*T2^11 + 373*T1^10*T2^11 - 1117*T1^11*T2^11 + 258*T1^12*T2^11 - 
     768*T1^13*T2^11 + 372*T1^14*T2^11 + 43*T1^15*T2^11 - 103*T1^16*T2^11 + 
     60*T1^17*T2^11 - 46*T1^18*T2^11 - 56*T1^19*T2^11 - 16*T1^20*T2^11 - 
     40*T1^2*T2^12 - 56*T1^3*T2^12 - 24*T1^4*T2^12 + 104*T1^5*T2^12 - 
     120*T1^6*T2^12 + 234*T1^7*T2^12 - 334*T1^8*T2^12 - 470*T1^9*T2^12 - 
     24*T1^10*T2^12 + 258*T1^11*T2^12 + 900*T1^12*T2^12 + 38*T1^13*T2^12 + 
     394*T1^14*T2^12 - 378*T1^15*T2^12 + 216*T1^16*T2^12 - 44*T1^17*T2^12 + 
     48*T1^18*T2^12 + 56*T1^19*T2^12 + 40*T1^20*T2^12 + 54*T1^3*T2^13 - 
     16*T1^4*T2^13 - 11*T1^5*T2^13 - 76*T1^6*T2^13 + 24*T1^7*T2^13 - 
     130*T1^8*T2^13 + 292*T1^9*T2^13 + 390*T1^10*T2^13 - 768*T1^11*T2^13 + 
     38*T1^12*T2^13 - 1096*T1^13*T2^13 + 252*T1^14*T2^13 - 138*T1^15*T2^13 + 
     24*T1^16*T2^13 - 18*T1^17*T2^13 - 81*T1^18*T2^13 - 12*T1^19*T2^13 - 
     72*T1^20*T2^13 - 50*T1^4*T2^14 + 92*T1^5*T2^14 - 40*T1^6*T2^14 + 
     120*T1^7*T2^14 - 54*T1^8*T2^14 + 170*T1^9*T2^14 - 484*T1^10*T2^14 + 
     372*T1^11*T2^14 + 394*T1^12*T2^14 + 252*T1^13*T2^14 + 680*T1^14*T2^14 - 
     512*T1^15*T2^14 + 420*T1^16*T2^14 - 260*T1^17*T2^14 + 232*T1^18*T2^14 - 
     76*T1^19*T2^14 + 100*T1^20*T2^14 + 27*T1^5*T2^15 - 108*T1^6*T2^15 + 
     69*T1^7*T2^15 - 96*T1^8*T2^15 - 48*T1^9*T2^15 + 115*T1^10*T2^15 + 
     43*T1^11*T2^15 - 378*T1^12*T2^15 - 138*T1^13*T2^15 - 512*T1^14*T2^15 + 
     235*T1^15*T2^15 - 243*T1^16*T2^15 + 234*T1^17*T2^15 - 261*T1^18*T2^15 + 
     132*T1^19*T2^15 - 108*T1^20*T2^15 + 72*T1^7*T2^16 - 76*T1^8*T2^16 + 
     118*T1^9*T2^16 - 30*T1^10*T2^16 - 103*T1^11*T2^16 + 216*T1^12*T2^16 + 
     24*T1^13*T2^16 + 420*T1^14*T2^16 - 243*T1^15*T2^16 + 354*T1^16*T2^16 - 
     386*T1^17*T2^16 + 348*T1^18*T2^16 - 184*T1^19*T2^16 + 100*T1^20*T2^16 - 
     18*T1^7*T2^17 - 8*T1^8*T2^17 + 14*T1^9*T2^17 - 56*T1^10*T2^17 + 
     60*T1^11*T2^17 - 44*T1^12*T2^17 - 18*T1^13*T2^17 - 260*T1^14*T2^17 + 
     234*T1^15*T2^17 - 386*T1^16*T2^17 + 410*T1^17*T2^17 - 326*T1^18*T2^17 + 
     168*T1^19*T2^17 - 72*T1^20*T2^17 + 20*T1^8*T2^18 - 32*T1^9*T2^18 + 
     50*T1^10*T2^18 - 46*T1^11*T2^18 + 48*T1^12*T2^18 - 81*T1^13*T2^18 + 
     232*T1^14*T2^18 - 261*T1^15*T2^18 + 348*T1^16*T2^18 - 326*T1^17*T2^18 + 
     230*T1^18*T2^18 - 112*T1^19*T2^18 + 40*T1^20*T2^18 - 12*T1^9*T2^19 + 
     32*T1^10*T2^19 - 56*T1^11*T2^19 + 56*T1^12*T2^19 - 12*T1^13*T2^19 - 
     76*T1^14*T2^19 + 132*T1^15*T2^19 - 184*T1^16*T2^19 + 168*T1^17*T2^19 - 
     112*T1^18*T2^19 + 52*T1^19*T2^19 - 16*T1^20*T2^19 + 4*T1^10*T2^20 - 
     16*T1^11*T2^20 + 40*T1^12*T2^20 - 72*T1^13*T2^20 + 100*T1^14*T2^20 - 
     108*T1^15*T2^20 + 100*T1^16*T2^20 - 72*T1^17*T2^20 + 40*T1^18*T2^20 - 
     16*T1^19*T2^20 + 4*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1247] -> 
  {((1 - T + T^2)*(2 - 6*T + 8*T^2 - 7*T^3 + 8*T^4 - 6*T^5 + 2*T^6))/T^4, 
   (-47 + 188*T1 - 375*T1^2 + 492*T1^3 - 539*T1^4 + 492*T1^5 - 375*T1^6 + 
     188*T1^7 - 47*T1^8 + 188*T2 - 596*T1*T2 + 876*T1^2*T2 - 724*T1^3*T2 + 
     524*T1^4*T2 - 180*T1^5*T2 - 132*T1^6*T2 + 492*T1^7*T2 - 436*T1^8*T2 + 
     156*T1^9*T2 - 375*T2^2 + 876*T1*T2^2 - 724*T1^2*T2^2 - 128*T1^3*T2^2 + 
     378*T1^4*T2^2 - 776*T1^5*T2^2 + 826*T1^6*T2^2 - 960*T1^7*T2^2 + 
     172*T1^8*T2^2 + 364*T1^9*T2^2 - 247*T1^10*T2^2 + 492*T2^3 - 
     724*T1*T2^3 - 128*T1^2*T2^3 + 1220*T1^3*T2^3 - 646*T1^4*T2^3 + 
     736*T1^5*T2^3 - 234*T1^6*T2^3 + 184*T1^7*T2^3 + 1046*T1^8*T2^3 - 
     864*T1^9*T2^3 + 28*T1^10*T2^3 + 240*T1^11*T2^3 - 539*T2^4 + 
     524*T1*T2^4 + 378*T1^2*T2^4 - 646*T1^3*T2^4 - 1062*T1^4*T2^4 + 
     787*T1^5*T2^4 - 1248*T1^6*T2^4 + 747*T1^7*T2^4 - 1566*T1^8*T2^4 + 
     194*T1^9*T2^4 + 634*T1^10*T2^4 - 276*T1^11*T2^4 - 171*T1^12*T2^4 + 
     492*T2^5 - 180*T1*T2^5 - 776*T1^2*T2^5 + 736*T1^3*T2^5 + 787*T1^4*T2^5 + 
     468*T1^5*T2^5 - 80*T1^6*T2^5 + 520*T1^7*T2^5 + 618*T1^8*T2^5 + 
     589*T1^9*T2^5 - 326*T1^10*T2^5 - 392*T1^11*T2^5 + 396*T1^12*T2^5 + 
     72*T1^13*T2^5 - 375*T2^6 - 132*T1*T2^6 + 826*T1^2*T2^6 - 234*T1^3*T2^6 - 
     1248*T1^4*T2^6 - 80*T1^5*T2^6 - 995*T1^6*T2^6 + 981*T1^7*T2^6 - 
     1891*T1^8*T2^6 + 432*T1^9*T2^6 - 640*T1^10*T2^6 + 598*T1^11*T2^6 - 
     6*T1^12*T2^6 - 324*T1^13*T2^6 + 9*T1^14*T2^6 + 188*T2^7 + 492*T1*T2^7 - 
     960*T1^2*T2^7 + 184*T1^3*T2^7 + 747*T1^4*T2^7 + 520*T1^5*T2^7 + 
     981*T1^6*T2^7 - 881*T1^7*T2^7 + 923*T1^8*T2^7 + 532*T1^9*T2^7 - 
     256*T1^10*T2^7 + 313*T1^11*T2^7 - 606*T1^12*T2^7 + 352*T1^13*T2^7 + 
     108*T1^14*T2^7 - 36*T1^15*T2^7 - 47*T2^8 - 436*T1*T2^8 + 172*T1^2*T2^8 + 
     1046*T1^3*T2^8 - 1566*T1^4*T2^8 + 618*T1^5*T2^8 - 1891*T1^6*T2^8 + 
     923*T1^7*T2^8 + 108*T1^8*T2^8 - 1095*T1^9*T2^8 + 595*T1^10*T2^8 - 
     378*T1^11*T2^8 + 434*T1^12*T2^8 + 90*T1^13*T2^8 - 340*T1^14*T2^8 + 
     76*T1^15*T2^8 + 17*T1^16*T2^8 + 156*T1*T2^9 + 364*T1^2*T2^9 - 
     864*T1^3*T2^9 + 194*T1^4*T2^9 + 589*T1^5*T2^9 + 432*T1^6*T2^9 + 
     532*T1^7*T2^9 - 1095*T1^8*T2^9 + 709*T1^9*T2^9 + 83*T1^10*T2^9 - 
     344*T1^11*T2^9 + 155*T1^12*T2^9 - 596*T1^13*T2^9 + 448*T1^14*T2^9 - 
     20*T1^15*T2^9 - 68*T1^16*T2^9 - 247*T1^2*T2^10 + 28*T1^3*T2^10 + 
     634*T1^4*T2^10 - 326*T1^5*T2^10 - 640*T1^6*T2^10 - 256*T1^7*T2^10 + 
     595*T1^8*T2^10 + 83*T1^9*T2^10 - 301*T1^10*T2^10 + 256*T1^11*T2^10 - 
     32*T1^12*T2^10 + 506*T1^13*T2^10 - 198*T1^14*T2^10 - 164*T1^15*T2^10 + 
     137*T1^16*T2^10 + 240*T1^3*T2^11 - 276*T1^4*T2^11 - 392*T1^5*T2^11 + 
     598*T1^6*T2^11 + 313*T1^7*T2^11 - 378*T1^8*T2^11 - 344*T1^9*T2^11 + 
     256*T1^10*T2^11 - 228*T1^11*T2^11 + 115*T1^12*T2^11 - 464*T1^13*T2^11 - 
     8*T1^14*T2^11 + 300*T1^15*T2^11 - 180*T1^16*T2^11 - 171*T1^4*T2^12 + 
     396*T1^5*T2^12 - 6*T1^6*T2^12 - 606*T1^7*T2^12 + 434*T1^8*T2^12 + 
     155*T1^9*T2^12 - 32*T1^10*T2^12 + 115*T1^11*T2^12 - 70*T1^12*T2^12 + 
     234*T1^13*T2^12 + 250*T1^14*T2^12 - 404*T1^15*T2^12 + 197*T1^16*T2^12 + 
     72*T1^5*T2^13 - 324*T1^6*T2^13 + 352*T1^7*T2^13 + 90*T1^8*T2^13 - 
     596*T1^9*T2^13 + 506*T1^10*T2^13 - 464*T1^11*T2^13 + 234*T1^12*T2^13 - 
     84*T1^13*T2^13 - 384*T1^14*T2^13 + 428*T1^15*T2^13 - 180*T1^16*T2^13 + 
     9*T1^6*T2^14 + 108*T1^7*T2^14 - 340*T1^8*T2^14 + 448*T1^9*T2^14 - 
     198*T1^10*T2^14 - 8*T1^11*T2^14 + 250*T1^12*T2^14 - 384*T1^13*T2^14 + 
     556*T1^14*T2^14 - 404*T1^15*T2^14 + 137*T1^16*T2^14 - 36*T1^7*T2^15 + 
     76*T1^8*T2^15 - 20*T1^9*T2^15 - 164*T1^10*T2^15 + 300*T1^11*T2^15 - 
     404*T1^12*T2^15 + 428*T1^13*T2^15 - 404*T1^14*T2^15 + 236*T1^15*T2^15 - 
     68*T1^16*T2^15 + 17*T1^8*T2^16 - 68*T1^9*T2^16 + 137*T1^10*T2^16 - 
     180*T1^11*T2^16 + 197*T1^12*T2^16 - 180*T1^13*T2^16 + 137*T1^14*T2^16 - 
     68*T1^15*T2^16 + 17*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1248] -> 
  {((1 - T + T^2)*(1 - 5*T + 11*T^2 - 16*T^3 + 19*T^4 - 16*T^5 + 11*T^6 - 
      5*T^7 + T^8))/T^5, (-4 + 24*T1 - 68*T1^2 + 128*T1^3 - 184*T1^4 + 
     204*T1^5 - 184*T1^6 + 128*T1^7 - 68*T1^8 + 24*T1^9 - 4*T1^10 + 24*T2 - 
     126*T1*T2 + 300*T1^2*T2 - 462*T1^3*T2 + 528*T1^4*T2 - 396*T1^5*T2 + 
     186*T1^6*T2 + 60*T1^7*T2 - 168*T1^8*T2 + 162*T1^9*T2 - 84*T1^10*T2 + 
     18*T1^11*T2 - 68*T2^2 + 300*T1*T2^2 - 544*T1^2*T2^2 + 554*T1^3*T2^2 - 
     274*T1^4*T2^2 - 374*T1^5*T2^2 + 770*T1^6*T2^2 - 1020*T1^7*T2^2 + 
     712*T1^8*T2^2 - 330*T1^9*T2^2 + 96*T1^11*T2^2 - 34*T1^12*T2^2 + 
     128*T2^3 - 462*T1*T2^3 + 554*T1^2*T2^3 - 126*T1^3*T2^3 - 558*T1^4*T2^3 + 
     1492*T1^5*T2^3 - 1316*T1^6*T2^3 + 1090*T1^7*T2^3 + 64*T1^8*T2^3 - 
     552*T1^9*T2^3 + 696*T1^10*T2^3 - 364*T1^11*T2^3 + 12*T1^12*T2^3 + 
     32*T1^13*T2^3 - 184*T2^4 + 528*T1*T2^4 - 274*T1^2*T2^4 - 558*T1^3*T2^4 + 
     1236*T1^4*T2^4 - 1912*T1^5*T2^4 + 615*T1^6*T2^4 - 266*T1^7*T2^4 - 
     1345*T1^8*T2^4 + 944*T1^9*T2^4 - 468*T1^10*T2^4 - 302*T1^11*T2^4 + 
     550*T1^12*T2^4 - 192*T1^13*T2^4 + 204*T2^5 - 396*T1*T2^5 - 
     374*T1^2*T2^5 + 1492*T1^3*T2^5 - 1912*T1^4*T2^5 + 2243*T1^5*T2^5 - 
     142*T1^6*T2^5 + 523*T1^7*T2^5 + 1202*T1^8*T2^5 + 470*T1^9*T2^5 - 
     897*T1^10*T2^5 + 1170*T1^11*T2^5 - 616*T1^12*T2^5 - 285*T1^13*T2^5 + 
     306*T1^14*T2^5 - 51*T1^15*T2^5 - 184*T2^6 + 186*T1*T2^6 + 
     770*T1^2*T2^6 - 1316*T1^3*T2^6 + 615*T1^4*T2^6 - 142*T1^5*T2^6 - 
     2376*T1^6*T2^6 + 797*T1^7*T2^6 - 2344*T1^8*T2^6 - 599*T1^9*T2^6 + 
     320*T1^10*T2^6 + 198*T1^11*T2^6 - 833*T1^12*T2^6 + 1276*T1^13*T2^6 - 
     318*T1^14*T2^6 - 246*T1^15*T2^6 + 92*T1^16*T2^6 + 128*T2^7 + 
     60*T1*T2^7 - 1020*T1^2*T2^7 + 1090*T1^3*T2^7 - 266*T1^4*T2^7 + 
     523*T1^5*T2^7 + 797*T1^6*T2^7 + 1901*T1^7*T2^7 + 63*T1^8*T2^7 + 
     2437*T1^9*T2^7 - 415*T1^10*T2^7 - 871*T1^11*T2^7 + 444*T1^12*T2^7 - 
     323*T1^13*T2^7 - 1068*T1^14*T2^7 + 851*T1^15*T2^7 + 24*T1^16*T2^7 - 
     96*T1^17*T2^7 - 68*T2^8 - 168*T1*T2^8 + 712*T1^2*T2^8 + 64*T1^3*T2^8 - 
     1345*T1^4*T2^8 + 1202*T1^5*T2^8 - 2344*T1^6*T2^8 + 63*T1^7*T2^8 - 
     1974*T1^8*T2^8 - 474*T1^9*T2^8 - 1054*T1^10*T2^8 + 1447*T1^11*T2^8 + 
     1056*T1^12*T2^8 - 614*T1^13*T2^8 + 1639*T1^14*T2^8 - 208*T1^15*T2^8 - 
     760*T1^16*T2^8 + 168*T1^17*T2^8 + 68*T1^18*T2^8 + 24*T2^9 + 
     162*T1*T2^9 - 330*T1^2*T2^9 - 552*T1^3*T2^9 + 944*T1^4*T2^9 + 
     470*T1^5*T2^9 - 599*T1^6*T2^9 + 2437*T1^7*T2^9 - 474*T1^8*T2^9 + 
     718*T1^9*T2^9 + 1068*T1^10*T2^9 - 1970*T1^11*T2^9 - 1917*T1^12*T2^9 - 
     19*T1^13*T2^9 - 1230*T1^14*T2^9 - 782*T1^15*T2^9 + 942*T1^16*T2^9 + 
     316*T1^17*T2^9 - 228*T1^18*T2^9 - 30*T1^19*T2^9 - 4*T2^10 - 
     84*T1*T2^10 + 696*T1^3*T2^10 - 468*T1^4*T2^10 - 897*T1^5*T2^10 + 
     320*T1^6*T2^10 - 415*T1^7*T2^10 - 1054*T1^8*T2^10 + 1068*T1^9*T2^10 + 
     720*T1^10*T2^10 - 1092*T1^11*T2^10 + 6338*T1^12*T2^10 - 
     1633*T1^13*T2^10 + 2496*T1^14*T2^10 + 593*T1^15*T2^10 - 90*T1^16*T2^10 - 
     1036*T1^17*T2^10 + 176*T1^18*T2^10 + 144*T1^19*T2^10 + 6*T1^20*T2^10 + 
     18*T1*T2^11 + 96*T1^2*T2^11 - 364*T1^3*T2^11 - 302*T1^4*T2^11 + 
     1170*T1^5*T2^11 + 198*T1^6*T2^11 - 871*T1^7*T2^11 + 1447*T1^8*T2^11 - 
     1970*T1^9*T2^11 - 1092*T1^10*T2^11 - 742*T1^11*T2^11 - 
     3466*T1^12*T2^11 - 2907*T1^13*T2^11 - 291*T1^14*T2^11 - 
     1502*T1^15*T2^11 - 556*T1^16*T2^11 + 1192*T1^17*T2^11 + 
     282*T1^18*T2^11 - 294*T1^19*T2^11 - 36*T1^20*T2^11 - 34*T1^2*T2^12 + 
     12*T1^3*T2^12 + 550*T1^4*T2^12 - 616*T1^5*T2^12 - 833*T1^6*T2^12 + 
     444*T1^7*T2^12 + 1056*T1^8*T2^12 - 1917*T1^9*T2^12 + 6338*T1^10*T2^12 - 
     3466*T1^11*T2^12 + 7258*T1^12*T2^12 - 533*T1^13*T2^12 + 
     4456*T1^14*T2^12 - 1372*T1^15*T2^12 + 2151*T1^16*T2^12 - 
     888*T1^17*T2^12 - 922*T1^18*T2^12 + 348*T1^19*T2^12 + 102*T1^20*T2^12 + 
     32*T1^3*T2^13 - 192*T1^4*T2^13 - 285*T1^5*T2^13 + 1276*T1^6*T2^13 - 
     323*T1^7*T2^13 - 614*T1^8*T2^13 - 19*T1^9*T2^13 - 1633*T1^10*T2^13 - 
     2907*T1^11*T2^13 - 533*T1^12*T2^13 - 3949*T1^13*T2^13 - 
     1687*T1^14*T2^13 - 693*T1^15*T2^13 - 380*T1^16*T2^13 - 882*T1^17*T2^13 + 
     1586*T1^18*T2^13 - 228*T1^19*T2^13 - 192*T1^20*T2^13 + 306*T1^5*T2^14 - 
     318*T1^6*T2^14 - 1068*T1^7*T2^14 + 1639*T1^8*T2^14 - 1230*T1^9*T2^14 + 
     2496*T1^10*T2^14 - 291*T1^11*T2^14 + 4456*T1^12*T2^14 - 
     1687*T1^13*T2^14 + 5192*T1^14*T2^14 - 890*T1^15*T2^14 + 
     191*T1^16*T2^14 + 1524*T1^17*T2^14 - 1406*T1^18*T2^14 - 
     126*T1^19*T2^14 + 276*T1^20*T2^14 - 51*T1^5*T2^15 - 246*T1^6*T2^15 + 
     851*T1^7*T2^15 - 208*T1^8*T2^15 - 782*T1^9*T2^15 + 593*T1^10*T2^15 - 
     1502*T1^11*T2^15 - 1372*T1^12*T2^15 - 693*T1^13*T2^15 - 
     890*T1^14*T2^15 - 2547*T1^15*T2^15 + 2300*T1^16*T2^15 - 
     2316*T1^17*T2^15 + 940*T1^18*T2^15 + 456*T1^19*T2^15 - 306*T1^20*T2^15 + 
     92*T1^6*T2^16 + 24*T1^7*T2^16 - 760*T1^8*T2^16 + 942*T1^9*T2^16 - 
     90*T1^10*T2^16 - 556*T1^11*T2^16 + 2151*T1^12*T2^16 - 380*T1^13*T2^16 + 
     191*T1^14*T2^16 + 2300*T1^15*T2^16 - 1794*T1^16*T2^16 + 
     1198*T1^17*T2^16 + 64*T1^18*T2^16 - 696*T1^19*T2^16 + 276*T1^20*T2^16 - 
     96*T1^7*T2^17 + 168*T1^8*T2^17 + 316*T1^9*T2^17 - 1036*T1^10*T2^17 + 
     1192*T1^11*T2^17 - 888*T1^12*T2^17 - 882*T1^13*T2^17 + 
     1524*T1^14*T2^17 - 2316*T1^15*T2^17 + 1198*T1^16*T2^17 - 
     214*T1^17*T2^17 - 602*T1^18*T2^17 + 642*T1^19*T2^17 - 192*T1^20*T2^17 + 
     68*T1^8*T2^18 - 228*T1^9*T2^18 + 176*T1^10*T2^18 + 282*T1^11*T2^18 - 
     922*T1^12*T2^18 + 1586*T1^13*T2^18 - 1406*T1^14*T2^18 + 
     940*T1^15*T2^18 + 64*T1^16*T2^18 - 602*T1^17*T2^18 + 720*T1^18*T2^18 - 
     432*T1^19*T2^18 + 102*T1^20*T2^18 - 30*T1^9*T2^19 + 144*T1^10*T2^19 - 
     294*T1^11*T2^19 + 348*T1^12*T2^19 - 228*T1^13*T2^19 - 126*T1^14*T2^19 + 
     456*T1^15*T2^19 - 696*T1^16*T2^19 + 642*T1^17*T2^19 - 432*T1^18*T2^19 + 
     186*T1^19*T2^19 - 36*T1^20*T2^19 + 6*T1^10*T2^20 - 36*T1^11*T2^20 + 
     102*T1^12*T2^20 - 192*T1^13*T2^20 + 276*T1^14*T2^20 - 306*T1^15*T2^20 + 
     276*T1^16*T2^20 - 192*T1^17*T2^20 + 102*T1^18*T2^20 - 36*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1249] -> 
  {-((1 - 6*T + 17*T^2 - 32*T^3 + 46*T^4 - 53*T^5 + 46*T^6 - 32*T^7 + 
      17*T^8 - 6*T^9 + T^10)/T^5), 
   -(((1 - 6*T1 + 17*T1^2 - 32*T1^3 + 46*T1^4 - 53*T1^5 + 46*T1^6 - 32*T1^7 + 
       17*T1^8 - 6*T1^9 + T1^10)*(-1 + T1*T2)^4*(1 + T1*T2)*(1 + T1^2*T2^2)*
      (5 - 4*T1*T2 + 5*T1^2*T2^2)*(1 - 6*T2 + 17*T2^2 - 32*T2^3 + 46*T2^4 - 
       53*T2^5 + 46*T2^6 - 32*T2^7 + 17*T2^8 - 6*T2^9 + T2^10))/
     (T1^11*T2^10))}, Knot[12, Alternating, 1250] -> 
  {-((1 - 5*T + 14*T^2 - 27*T^3 + 39*T^4 - 45*T^5 + 39*T^6 - 27*T^7 + 
      14*T^8 - 5*T^9 + T^10)/T^5), 
   -((-5 + 25*T1 - 70*T1^2 + 135*T1^3 - 195*T1^4 + 225*T1^5 - 195*T1^6 + 
      135*T1^7 - 70*T1^8 + 25*T1^9 - 5*T1^10 + 25*T2 - 105*T1*T2 + 
      250*T1^2*T2 - 395*T1^3*T2 + 435*T1^4*T2 - 345*T1^5*T2 + 75*T1^6*T2 + 
      105*T1^7*T2 - 190*T1^8*T2 + 155*T1^9*T2 - 75*T1^10*T2 + 20*T1^11*T2 - 
      70*T2^2 + 250*T1*T2^2 - 522*T1^2*T2^2 + 700*T1^3*T2^2 - 618*T1^4*T2^2 + 
      382*T1^5*T2^2 + 136*T1^6*T2^2 - 122*T1^7*T2^2 + 82*T1^8*T2^2 + 
      84*T1^9*T2^2 - 158*T1^10*T2^2 + 110*T1^11*T2^2 - 42*T1^12*T2^2 + 
      135*T2^3 - 395*T1*T2^3 + 700*T1^2*T2^3 - 721*T1^3*T2^3 + 
      375*T1^4*T2^3 - 61*T1^5*T2^3 - 611*T1^6*T2^3 - 77*T1^7*T2^3 + 
      98*T1^8*T2^3 - 319*T1^9*T2^3 + 217*T1^10*T2^3 - 14*T1^11*T2^3 - 
      60*T1^12*T2^3 + 54*T1^13*T2^3 - 195*T2^4 + 435*T1*T2^4 - 
      618*T1^2*T2^4 + 375*T1^3*T2^4 + 55*T1^4*T2^4 - 16*T1^5*T2^4 + 
      519*T1^6*T2^4 + 1207*T1^7*T2^4 - 441*T1^8*T2^4 + 494*T1^9*T2^4 + 
      43*T1^10*T2^4 - 327*T1^11*T2^4 + 216*T1^12*T2^4 - 75*T1^13*T2^4 - 
      39*T1^14*T2^4 + 225*T2^5 - 345*T1*T2^5 + 382*T1^2*T2^5 - 61*T1^3*T2^5 - 
      16*T1^4*T2^5 - 646*T1^5*T2^5 + 193*T1^6*T2^5 - 2494*T1^7*T2^5 - 
      127*T1^8*T2^5 - 140*T1^9*T2^5 - 538*T1^10*T2^5 + 407*T1^11*T2^5 + 
      92*T1^12*T2^5 - 221*T1^13*T2^5 + 195*T1^14*T2^5 - 195*T2^6 + 
      75*T1*T2^6 + 136*T1^2*T2^6 - 611*T1^3*T2^6 + 519*T1^4*T2^6 + 
      193*T1^5*T2^6 + 649*T1^6*T2^6 + 1751*T1^7*T2^6 + 2461*T1^8*T2^6 - 
      553*T1^9*T2^6 + 841*T1^10*T2^6 - 161*T1^11*T2^6 - 459*T1^12*T2^6 + 
      211*T1^13*T2^6 + 4*T1^14*T2^6 - 195*T1^15*T2^6 + 39*T1^16*T2^6 + 
      135*T2^7 + 105*T1*T2^7 - 122*T1^2*T2^7 - 77*T1^3*T2^7 + 
      1207*T1^4*T2^7 - 2494*T1^5*T2^7 + 1751*T1^6*T2^7 - 3745*T1^7*T2^7 - 
      1704*T1^8*T2^7 - 1608*T1^9*T2^7 + 659*T1^10*T2^7 - 757*T1^11*T2^7 + 
      899*T1^12*T2^7 + 19*T1^13*T2^7 - 227*T1^14*T2^7 + 217*T1^15*T2^7 + 
      75*T1^16*T2^7 - 54*T1^17*T2^7 - 70*T2^8 - 190*T1*T2^8 + 82*T1^2*T2^8 + 
      98*T1^3*T2^8 - 441*T1^4*T2^8 - 127*T1^5*T2^8 + 2461*T1^6*T2^8 - 
      1704*T1^7*T2^8 + 6150*T1^8*T2^8 - 256*T1^9*T2^8 + 646*T1^10*T2^8 - 
      558*T1^11*T2^8 - 89*T1^12*T2^8 - 955*T1^13*T2^8 + 483*T1^14*T2^8 - 
      76*T1^15*T2^8 - 216*T1^16*T2^8 + 60*T1^17*T2^8 + 42*T1^18*T2^8 + 
      25*T2^9 + 155*T1*T2^9 + 84*T1^2*T2^9 - 319*T1^3*T2^9 + 494*T1^4*T2^9 - 
      140*T1^5*T2^9 - 553*T1^6*T2^9 - 1608*T1^7*T2^9 - 256*T1^8*T2^9 - 
      5069*T1^9*T2^9 + 2307*T1^10*T2^9 + 225*T1^11*T2^9 + 396*T1^12*T2^9 + 
      1139*T1^13*T2^9 + 109*T1^14*T2^9 - 451*T1^15*T2^9 + 327*T1^16*T2^9 + 
      14*T1^17*T2^9 - 110*T1^18*T2^9 - 20*T1^19*T2^9 - 5*T2^10 - 
      75*T1*T2^10 - 158*T1^2*T2^10 + 217*T1^3*T2^10 + 43*T1^4*T2^10 - 
      538*T1^5*T2^10 + 841*T1^6*T2^10 + 659*T1^7*T2^10 + 646*T1^8*T2^10 + 
      2307*T1^9*T2^10 + 720*T1^10*T2^10 - 2871*T1^11*T2^10 - 
      516*T1^12*T2^10 - 847*T1^13*T2^10 - 1091*T1^14*T2^10 + 
      674*T1^15*T2^10 - 41*T1^16*T2^10 - 217*T1^17*T2^10 + 158*T1^18*T2^10 + 
      75*T1^19*T2^10 + 5*T1^20*T2^10 + 20*T1*T2^11 + 110*T1^2*T2^11 - 
      14*T1^3*T2^11 - 327*T1^4*T2^11 + 407*T1^5*T2^11 - 161*T1^6*T2^11 - 
      757*T1^7*T2^11 - 558*T1^8*T2^11 + 225*T1^9*T2^11 - 2871*T1^10*T2^11 + 
      4505*T1^11*T2^11 + 706*T1^12*T2^11 + 1446*T1^13*T2^11 + 
      935*T1^14*T2^11 + 88*T1^15*T2^11 - 538*T1^16*T2^11 + 319*T1^17*T2^11 - 
      84*T1^18*T2^11 - 155*T1^19*T2^11 - 25*T1^20*T2^11 - 42*T1^2*T2^12 - 
      60*T1^3*T2^12 + 216*T1^4*T2^12 + 92*T1^5*T2^12 - 459*T1^6*T2^12 + 
      899*T1^7*T2^12 - 89*T1^8*T2^12 + 396*T1^9*T2^12 - 516*T1^10*T2^12 + 
      706*T1^11*T2^12 - 6020*T1^12*T2^12 + 1542*T1^13*T2^12 - 
      2639*T1^14*T2^12 + 71*T1^15*T2^12 + 465*T1^16*T2^12 - 82*T1^17*T2^12 - 
      82*T1^18*T2^12 + 190*T1^19*T2^12 + 70*T1^20*T2^12 + 54*T1^3*T2^13 - 
      75*T1^4*T2^13 - 221*T1^5*T2^13 + 211*T1^6*T2^13 + 19*T1^7*T2^13 - 
      955*T1^8*T2^13 + 1139*T1^9*T2^13 - 847*T1^10*T2^13 + 1446*T1^11*T2^13 + 
      1542*T1^12*T2^13 + 3557*T1^13*T2^13 - 1369*T1^14*T2^13 + 
      2438*T1^15*T2^13 - 1169*T1^16*T2^13 + 61*T1^17*T2^13 + 
      118*T1^18*T2^13 - 105*T1^19*T2^13 - 135*T1^20*T2^13 - 39*T1^4*T2^14 + 
      195*T1^5*T2^14 + 4*T1^6*T2^14 - 227*T1^7*T2^14 + 483*T1^8*T2^14 + 
      109*T1^9*T2^14 - 1091*T1^10*T2^14 + 935*T1^11*T2^14 - 
      2639*T1^12*T2^14 - 1369*T1^13*T2^14 - 899*T1^14*T2^14 - 
      245*T1^15*T2^14 - 495*T1^16*T2^14 + 595*T1^17*T2^14 - 128*T1^18*T2^14 - 
      75*T1^19*T2^14 + 195*T1^20*T2^14 - 195*T1^6*T2^15 + 217*T1^7*T2^15 - 
      76*T1^8*T2^15 - 451*T1^9*T2^15 + 674*T1^10*T2^15 + 88*T1^11*T2^15 + 
      71*T1^12*T2^15 + 2438*T1^13*T2^15 - 245*T1^14*T2^15 + 782*T1^15*T2^15 - 
      28*T1^16*T2^15 + 77*T1^17*T2^15 - 386*T1^18*T2^15 + 345*T1^19*T2^15 - 
      225*T1^20*T2^15 + 39*T1^6*T2^16 + 75*T1^7*T2^16 - 216*T1^8*T2^16 + 
      327*T1^9*T2^16 - 41*T1^10*T2^16 - 538*T1^11*T2^16 + 465*T1^12*T2^16 - 
      1169*T1^13*T2^16 - 495*T1^14*T2^16 - 28*T1^15*T2^16 - 53*T1^16*T2^16 - 
      375*T1^17*T2^16 + 618*T1^18*T2^16 - 435*T1^19*T2^16 + 195*T1^20*T2^16 - 
      54*T1^7*T2^17 + 60*T1^8*T2^17 + 14*T1^9*T2^17 - 217*T1^10*T2^17 + 
      319*T1^11*T2^17 - 82*T1^12*T2^17 + 61*T1^13*T2^17 + 595*T1^14*T2^17 + 
      77*T1^15*T2^17 - 375*T1^16*T2^17 + 721*T1^17*T2^17 - 700*T1^18*T2^17 + 
      395*T1^19*T2^17 - 135*T1^20*T2^17 + 42*T1^8*T2^18 - 110*T1^9*T2^18 + 
      158*T1^10*T2^18 - 84*T1^11*T2^18 - 82*T1^12*T2^18 + 118*T1^13*T2^18 - 
      128*T1^14*T2^18 - 386*T1^15*T2^18 + 618*T1^16*T2^18 - 700*T1^17*T2^18 + 
      522*T1^18*T2^18 - 250*T1^19*T2^18 + 70*T1^20*T2^18 - 20*T1^9*T2^19 + 
      75*T1^10*T2^19 - 155*T1^11*T2^19 + 190*T1^12*T2^19 - 105*T1^13*T2^19 - 
      75*T1^14*T2^19 + 345*T1^15*T2^19 - 435*T1^16*T2^19 + 395*T1^17*T2^19 - 
      250*T1^18*T2^19 + 105*T1^19*T2^19 - 25*T1^20*T2^19 + 5*T1^10*T2^20 - 
      25*T1^11*T2^20 + 70*T1^12*T2^20 - 135*T1^13*T2^20 + 195*T1^14*T2^20 - 
      225*T1^15*T2^20 + 195*T1^16*T2^20 - 135*T1^17*T2^20 + 70*T1^18*T2^20 - 
      25*T1^19*T2^20 + 5*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1251] -> 
  {-(((1 - 3*T + T^2)*(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4))/T^3), 
   (-2*(1 - 3*T1 + T1^2)*(4 - 13*T1 + 19*T1^2 - 13*T1^3 + 4*T1^4)*
     (-2 + T1*T2)*(1 + T1*T2)*(-1 + 2*T1*T2)*(1 - 3*T2 + T2^2)*
     (3 - 5*T1*T2 + 3*T1^2*T2^2)*(4 - 13*T2 + 19*T2^2 - 13*T2^3 + 4*T2^4))/
    (T1^7*T2^6)}, Knot[12, Alternating, 1252] -> 
  {-(((1 - T + T^2)*(2 - 8*T + 17*T^2 - 23*T^3 + 17*T^4 - 8*T^5 + 2*T^6))/
     T^4), -((-41 + 204*T1 - 549*T1^2 + 974*T1^3 - 1155*T1^4 + 974*T1^5 - 
      549*T1^6 + 204*T1^7 - 41*T1^8 + 204*T2 - 852*T1*T2 + 1920*T1^2*T2 - 
      2659*T1^3*T2 + 1863*T1^4*T2 - 237*T1^5*T2 - 1159*T1^6*T2 + 
      1180*T1^7*T2 - 612*T1^8*T2 + 164*T1^9*T2 - 549*T2^2 + 1920*T1*T2^2 - 
      3631*T1^2*T2^2 + 3767*T1^3*T2^2 - 508*T1^4*T2^2 - 2109*T1^5*T2^2 + 
      2732*T1^6*T2^2 - 337*T1^7*T2^2 - 931*T1^8*T2^2 + 840*T1^9*T2^2 - 
      333*T1^10*T2^2 + 974*T2^3 - 2659*T1*T2^3 + 3767*T1^2*T2^3 - 
      1538*T1^3*T2^3 - 4605*T1^4*T2^3 + 4825*T1^5*T2^3 - 1925*T1^6*T2^3 - 
      3651*T1^7*T2^3 + 2872*T1^8*T2^3 - 769*T1^9*T2^3 - 319*T1^10*T2^3 + 
      398*T1^11*T2^3 - 1155*T2^4 + 1863*T1*T2^4 - 508*T1^2*T2^4 - 
      4605*T1^3*T2^4 + 10068*T1^4*T2^4 - 1929*T1^5*T2^4 - 4774*T1^6*T2^4 + 
      9543*T1^7*T2^4 - 1332*T1^8*T2^4 - 2493*T1^9*T2^4 + 2204*T1^10*T2^4 - 
      777*T1^11*T2^4 - 243*T1^12*T2^4 + 974*T2^5 - 237*T1*T2^5 - 
      2109*T1^2*T2^5 + 4825*T1^3*T2^5 - 1929*T1^4*T2^5 - 15318*T1^5*T2^5 + 
      16018*T1^6*T2^5 - 9572*T1^7*T2^5 - 8688*T1^8*T2^5 + 8259*T1^9*T2^5 - 
      2753*T1^10*T2^5 - 561*T1^11*T2^5 + 1143*T1^12*T2^5 + 14*T1^13*T2^5 - 
      549*T2^6 - 1159*T1*T2^6 + 2732*T1^2*T2^6 - 1925*T1^3*T2^6 - 
      4774*T1^4*T2^6 + 16018*T1^5*T2^6 + 1271*T1^6*T2^6 - 16527*T1^7*T2^6 + 
      28751*T1^8*T2^6 - 10898*T1^9*T2^6 - 1516*T1^10*T2^6 + 3583*T1^11*T2^6 - 
      1564*T1^12*T2^6 - 559*T1^13*T2^6 + 99*T1^14*T2^6 + 204*T2^7 + 
      1180*T1*T2^7 - 337*T1^2*T2^7 - 3651*T1^3*T2^7 + 9543*T1^4*T2^7 - 
      9572*T1^5*T2^7 - 16527*T1^6*T2^7 + 24606*T1^7*T2^7 - 19344*T1^8*T2^7 - 
      8103*T1^9*T2^7 + 13366*T1^10*T2^7 - 5781*T1^11*T2^7 + 27*T1^12*T2^7 + 
      1607*T1^13*T2^7 - 120*T1^14*T2^7 - 76*T1^15*T2^7 - 41*T2^8 - 
      612*T1*T2^8 - 931*T1^2*T2^8 + 2872*T1^3*T2^8 - 1332*T1^4*T2^8 - 
      8688*T1^5*T2^8 + 28751*T1^6*T2^8 - 19344*T1^7*T2^8 - 1236*T1^8*T2^8 + 
      22768*T1^9*T2^8 - 13909*T1^10*T2^8 - 792*T1^11*T2^8 + 4344*T1^12*T2^8 - 
      2408*T1^13*T2^8 - 235*T1^14*T2^8 + 268*T1^15*T2^8 + 23*T1^16*T2^8 + 
      164*T1*T2^9 + 840*T1^2*T2^9 - 769*T1^3*T2^9 - 2493*T1^4*T2^9 + 
      8259*T1^5*T2^9 - 10898*T1^6*T2^9 - 8103*T1^7*T2^9 + 22768*T1^8*T2^9 - 
      21182*T1^9*T2^9 + 321*T1^10*T2^9 + 12040*T1^11*T2^9 - 7065*T1^12*T2^9 + 
      1185*T1^13*T2^9 + 1175*T1^14*T2^9 - 460*T1^15*T2^9 - 116*T1^16*T2^9 - 
      333*T1^2*T2^10 - 319*T1^3*T2^10 + 2204*T1^4*T2^10 - 2753*T1^5*T2^10 - 
      1516*T1^6*T2^10 + 13366*T1^7*T2^10 - 13909*T1^8*T2^10 + 
      321*T1^9*T2^10 + 13571*T1^10*T2^10 - 13550*T1^11*T2^10 + 
      1742*T1^12*T2^10 + 2755*T1^13*T2^10 - 2092*T1^14*T2^10 + 
      281*T1^15*T2^10 + 315*T1^16*T2^10 + 398*T1^3*T2^11 - 777*T1^4*T2^11 - 
      561*T1^5*T2^11 + 3583*T1^6*T2^11 - 5781*T1^7*T2^11 - 792*T1^8*T2^11 + 
      12040*T1^9*T2^11 - 13550*T1^10*T2^11 + 5838*T1^11*T2^11 + 
      4407*T1^12*T2^11 - 3995*T1^13*T2^11 + 987*T1^14*T2^11 + 
      603*T1^15*T2^11 - 562*T1^16*T2^11 - 243*T1^4*T2^12 + 1143*T1^5*T2^12 - 
      1564*T1^6*T2^12 + 27*T1^7*T2^12 + 4344*T1^8*T2^12 - 7065*T1^9*T2^12 + 
      1742*T1^10*T2^12 + 4407*T1^11*T2^12 - 7056*T1^12*T2^12 + 
      2139*T1^13*T2^12 + 1148*T1^14*T2^12 - 1497*T1^15*T2^12 + 
      669*T1^16*T2^12 + 14*T1^5*T2^13 - 559*T1^6*T2^13 + 1607*T1^7*T2^13 - 
      2408*T1^8*T2^13 + 1185*T1^9*T2^13 + 2755*T1^10*T2^13 - 
      3995*T1^11*T2^13 + 2139*T1^12*T2^13 + 2002*T1^13*T2^13 - 
      2929*T1^14*T2^13 + 1781*T1^15*T2^13 - 562*T1^16*T2^13 + 99*T1^6*T2^14 - 
      120*T1^7*T2^14 - 235*T1^8*T2^14 + 1175*T1^9*T2^14 - 2092*T1^10*T2^14 + 
      987*T1^11*T2^14 + 1148*T1^12*T2^14 - 2929*T1^13*T2^14 + 
      2465*T1^14*T2^14 - 1200*T1^15*T2^14 + 315*T1^16*T2^14 - 76*T1^7*T2^15 + 
      268*T1^8*T2^15 - 460*T1^9*T2^15 + 281*T1^10*T2^15 + 603*T1^11*T2^15 - 
      1497*T1^12*T2^15 + 1781*T1^13*T2^15 - 1200*T1^14*T2^15 + 
      508*T1^15*T2^15 - 116*T1^16*T2^15 + 23*T1^8*T2^16 - 116*T1^9*T2^16 + 
      315*T1^10*T2^16 - 562*T1^11*T2^16 + 669*T1^12*T2^16 - 562*T1^13*T2^16 + 
      315*T1^14*T2^16 - 116*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1253] -> 
  {((1 - T + T^2)^2*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/T^5, 
   (-4 + 20*T1 - 56*T1^2 + 104*T1^3 - 148*T1^4 + 164*T1^5 - 148*T1^6 + 
     104*T1^7 - 56*T1^8 + 20*T1^9 - 4*T1^10 + 20*T2 - 85*T1*T2 + 
     205*T1^2*T2 - 310*T1^3*T2 + 350*T1^4*T2 - 265*T1^5*T2 + 125*T1^6*T2 + 
     35*T1^7*T2 - 110*T1^8*T2 + 110*T1^9*T2 - 55*T1^10*T2 + 15*T1^11*T2 - 
     56*T2^2 + 205*T1*T2^2 - 439*T1^2*T2^2 + 554*T1^3*T2^2 - 534*T1^4*T2^2 + 
     284*T1^5*T2^2 - 77*T1^6*T2^2 - 136*T1^7*T2^2 + 110*T1^8*T2^2 - 
     34*T1^9*T2^2 - 75*T1^10*T2^2 + 65*T1^11*T2^2 - 28*T1^12*T2^2 + 
     104*T2^3 - 310*T1*T2^3 + 554*T1^2*T2^3 - 462*T1^3*T2^3 + 266*T1^4*T2^3 + 
     170*T1^5*T2^3 - 222*T1^6*T2^3 + 324*T1^7*T2^3 + 50*T1^8*T2^3 - 
     210*T1^9*T2^3 + 314*T1^10*T2^3 - 118*T1^11*T2^3 + 10*T1^12*T2^3 + 
     26*T1^13*T2^3 - 148*T2^4 + 350*T1*T2^4 - 534*T1^2*T2^4 + 266*T1^3*T2^4 - 
     264*T1^4*T2^4 + 114*T1^5*T2^4 - 677*T1^6*T2^4 + 660*T1^7*T2^4 - 
     1173*T1^8*T2^4 + 766*T1^9*T2^4 - 396*T1^10*T2^4 - 202*T1^11*T2^4 + 
     238*T1^12*T2^4 - 130*T1^13*T2^4 + 164*T2^5 - 265*T1*T2^5 + 
     284*T1^2*T2^5 + 170*T1^3*T2^5 + 114*T1^4*T2^5 - 142*T1^5*T2^5 + 
     989*T1^6*T2^5 - 571*T1^7*T2^5 + 1056*T1^8*T2^5 - 28*T1^9*T2^5 - 
     282*T1^10*T2^5 + 598*T1^11*T2^5 - 86*T1^12*T2^5 - 175*T1^13*T2^5 + 
     205*T1^14*T2^5 - 41*T1^15*T2^5 - 148*T2^6 + 125*T1*T2^6 - 77*T1^2*T2^6 - 
     222*T1^3*T2^6 - 677*T1^4*T2^6 + 989*T1^5*T2^6 - 1929*T1^6*T2^6 + 
     1014*T1^7*T2^6 - 1371*T1^8*T2^6 - 328*T1^9*T2^6 + 371*T1^10*T2^6 - 
     349*T1^11*T2^6 - 315*T1^12*T2^6 + 306*T1^13*T2^6 - 33*T1^14*T2^6 - 
     165*T1^15*T2^6 + 74*T1^16*T2^6 + 104*T2^7 + 35*T1*T2^7 - 136*T1^2*T2^7 + 
     324*T1^3*T2^7 + 660*T1^4*T2^7 - 571*T1^5*T2^7 + 1014*T1^6*T2^7 + 
     71*T1^7*T2^7 + 626*T1^8*T2^7 + 718*T1^9*T2^7 + 239*T1^10*T2^7 - 
     714*T1^11*T2^7 + 882*T1^12*T2^7 - 360*T1^13*T2^7 - 246*T1^14*T2^7 + 
     219*T1^15*T2^7 + 20*T1^16*T2^7 - 78*T1^17*T2^7 - 56*T2^8 - 110*T1*T2^8 + 
     110*T1^2*T2^8 + 50*T1^3*T2^8 - 1173*T1^4*T2^8 + 1056*T1^5*T2^8 - 
     1371*T1^6*T2^8 + 626*T1^7*T2^8 - 1030*T1^8*T2^8 - 426*T1^9*T2^8 - 
     278*T1^10*T2^8 + 238*T1^11*T2^8 + 613*T1^12*T2^8 - 832*T1^13*T2^8 + 
     1039*T1^14*T2^8 - 170*T1^15*T2^8 - 150*T1^16*T2^8 + 110*T1^17*T2^8 + 
     56*T1^18*T2^8 + 20*T2^9 + 110*T1*T2^9 - 34*T1^2*T2^9 - 210*T1^3*T2^9 + 
     766*T1^4*T2^9 - 28*T1^5*T2^9 - 328*T1^6*T2^9 + 718*T1^7*T2^9 - 
     426*T1^8*T2^9 + 486*T1^9*T2^9 + 754*T1^10*T2^9 - 1107*T1^11*T2^9 - 
     334*T1^12*T2^9 - 144*T1^13*T2^9 - 295*T1^14*T2^9 - 726*T1^15*T2^9 + 
     314*T1^16*T2^9 - 34*T1^17*T2^9 - 155*T1^18*T2^9 - 25*T1^19*T2^9 - 
     4*T2^10 - 55*T1*T2^10 - 75*T1^2*T2^10 + 314*T1^3*T2^10 - 
     396*T1^4*T2^10 - 282*T1^5*T2^10 + 371*T1^6*T2^10 + 239*T1^7*T2^10 - 
     278*T1^8*T2^10 + 754*T1^9*T2^10 - 312*T1^10*T2^10 - 270*T1^11*T2^10 + 
     2628*T1^12*T2^10 - 991*T1^13*T2^10 + 1343*T1^14*T2^10 + 
     298*T1^15*T2^10 + 456*T1^16*T2^10 - 322*T1^17*T2^10 + 241*T1^18*T2^10 + 
     95*T1^19*T2^10 + 6*T1^20*T2^10 + 15*T1*T2^11 + 65*T1^2*T2^11 - 
     118*T1^3*T2^11 - 202*T1^4*T2^11 + 598*T1^5*T2^11 - 349*T1^6*T2^11 - 
     714*T1^7*T2^11 + 238*T1^8*T2^11 - 1107*T1^9*T2^11 - 270*T1^10*T2^11 - 
     2*T1^11*T2^11 - 1788*T1^12*T2^11 - 814*T1^13*T2^11 - 530*T1^14*T2^11 - 
     616*T1^15*T2^11 - 894*T1^16*T2^11 + 322*T1^17*T2^11 - 118*T1^18*T2^11 - 
     200*T1^19*T2^11 - 30*T1^20*T2^11 - 28*T1^2*T2^12 + 10*T1^3*T2^12 + 
     238*T1^4*T2^12 - 86*T1^5*T2^12 - 315*T1^6*T2^12 + 882*T1^7*T2^12 + 
     613*T1^8*T2^12 - 334*T1^9*T2^12 + 2628*T1^10*T2^12 - 1788*T1^11*T2^12 + 
     3380*T1^12*T2^12 - 722*T1^13*T2^12 + 2597*T1^14*T2^12 - 
     1006*T1^15*T2^12 + 1897*T1^16*T2^12 - 306*T1^17*T2^12 - 22*T1^18*T2^12 + 
     230*T1^19*T2^12 + 84*T1^20*T2^12 + 26*T1^3*T2^13 - 130*T1^4*T2^13 - 
     175*T1^5*T2^13 + 306*T1^6*T2^13 - 360*T1^7*T2^13 - 832*T1^8*T2^13 - 
     144*T1^9*T2^13 - 991*T1^10*T2^13 - 814*T1^11*T2^13 - 722*T1^12*T2^13 - 
     823*T1^13*T2^13 - 1872*T1^14*T2^13 + 621*T1^15*T2^13 - 
     1380*T1^16*T2^13 - 264*T1^17*T2^13 + 180*T1^18*T2^13 - 145*T1^19*T2^13 - 
     156*T1^20*T2^13 + 205*T1^5*T2^14 - 33*T1^6*T2^14 - 246*T1^7*T2^14 + 
     1039*T1^8*T2^14 - 295*T1^9*T2^14 + 1343*T1^10*T2^14 - 530*T1^11*T2^14 + 
     2597*T1^12*T2^14 - 1872*T1^13*T2^14 + 3643*T1^14*T2^14 - 
     1633*T1^15*T2^14 + 1401*T1^16*T2^14 + 282*T1^17*T2^14 + 11*T1^18*T2^14 - 
     85*T1^19*T2^14 + 222*T1^20*T2^14 - 41*T1^5*T2^15 - 165*T1^6*T2^15 + 
     219*T1^7*T2^15 - 170*T1^8*T2^15 - 726*T1^9*T2^15 + 298*T1^10*T2^15 - 
     616*T1^11*T2^15 - 1006*T1^12*T2^15 + 621*T1^13*T2^15 - 
     1633*T1^14*T2^15 + 158*T1^15*T2^15 - 242*T1^16*T2^15 - 426*T1^17*T2^15 - 
     240*T1^18*T2^15 + 305*T1^19*T2^15 - 246*T1^20*T2^15 + 74*T1^6*T2^16 + 
     20*T1^7*T2^16 - 150*T1^8*T2^16 + 314*T1^9*T2^16 + 456*T1^10*T2^16 - 
     894*T1^11*T2^16 + 1897*T1^12*T2^16 - 1380*T1^13*T2^16 + 
     1401*T1^14*T2^16 - 242*T1^15*T2^16 + 324*T1^16*T2^16 - 154*T1^17*T2^16 + 
     622*T1^18*T2^16 - 460*T1^19*T2^16 + 222*T1^20*T2^16 - 78*T1^7*T2^17 + 
     110*T1^8*T2^17 - 34*T1^9*T2^17 - 322*T1^10*T2^17 + 322*T1^11*T2^17 - 
     306*T1^12*T2^17 - 264*T1^13*T2^17 + 282*T1^14*T2^17 - 426*T1^15*T2^17 - 
     154*T1^16*T2^17 + 454*T1^17*T2^17 - 706*T1^18*T2^17 + 430*T1^19*T2^17 - 
     156*T1^20*T2^17 + 56*T1^8*T2^18 - 155*T1^9*T2^18 + 241*T1^10*T2^18 - 
     118*T1^11*T2^18 - 22*T1^12*T2^18 + 180*T1^13*T2^18 + 11*T1^14*T2^18 - 
     240*T1^15*T2^18 + 622*T1^16*T2^18 - 706*T1^17*T2^18 + 605*T1^18*T2^18 - 
     295*T1^19*T2^18 + 84*T1^20*T2^18 - 25*T1^9*T2^19 + 95*T1^10*T2^19 - 
     200*T1^11*T2^19 + 230*T1^12*T2^19 - 145*T1^13*T2^19 - 85*T1^14*T2^19 + 
     305*T1^15*T2^19 - 460*T1^16*T2^19 + 430*T1^17*T2^19 - 295*T1^18*T2^19 + 
     125*T1^19*T2^19 - 30*T1^20*T2^19 + 6*T1^10*T2^20 - 30*T1^11*T2^20 + 
     84*T1^12*T2^20 - 156*T1^13*T2^20 + 222*T1^14*T2^20 - 246*T1^15*T2^20 + 
     222*T1^16*T2^20 - 156*T1^17*T2^20 + 84*T1^18*T2^20 - 30*T1^19*T2^20 + 
     6*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1254] -> 
  {-((1 - 4*T + 10*T^2 - 18*T^3 + 25*T^4 - 29*T^5 + 25*T^6 - 18*T^7 + 
      10*T^8 - 4*T^9 + T^10)/T^5), 
   -(((1 - 4*T1 + 10*T1^2 - 18*T1^3 + 25*T1^4 - 29*T1^5 + 25*T1^6 - 18*T1^7 + 
       10*T1^8 - 4*T1^9 + T1^10)*(1 + T1*T2)*(1 + T1^2*T2^2)*
      (1 - T1*T2 + T1^2*T2^2)*(5 - 11*T1*T2 + 14*T1^2*T2^2 - 11*T1^3*T2^3 + 
       5*T1^4*T2^4)*(1 - 4*T2 + 10*T2^2 - 18*T2^3 + 25*T2^4 - 29*T2^5 + 
       25*T2^6 - 18*T2^7 + 10*T2^8 - 4*T2^9 + T2^10))/(T1^11*T2^10))}, 
 Knot[12, Alternating, 1255] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 8*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 8*T^6 - 
       4*T^7 + T^8))/T^5), -((-7 + 35*T1 - 91*T1^2 + 161*T1^3 - 210*T1^4 + 
      231*T1^5 - 210*T1^6 + 161*T1^7 - 91*T1^8 + 35*T1^9 - 7*T1^10 + 35*T2 - 
      145*T1*T2 + 305*T1^2*T2 - 415*T1^3*T2 + 360*T1^4*T2 - 255*T1^5*T2 + 
      60*T1^6*T2 + 95*T1^7*T2 - 235*T1^8*T2 + 215*T1^9*T2 - 115*T1^10*T2 + 
      30*T1^11*T2 - 91*T2^2 + 305*T1*T2^2 - 495*T1^2*T2^2 + 455*T1^3*T2^2 - 
      95*T1^4*T2^2 - 50*T1^5*T2^2 + 323*T1^6*T2^2 - 310*T1^7*T2^2 + 
      347*T1^8*T2^2 - 13*T1^9*T2^2 - 183*T1^10*T2^2 + 175*T1^11*T2^2 - 
      65*T1^12*T2^2 + 161*T2^3 - 415*T1*T2^3 + 455*T1^2*T2^3 - 
      122*T1^3*T2^3 - 450*T1^4*T2^3 + 187*T1^5*T2^3 - 428*T1^6*T2^3 + 
      10*T1^7*T2^3 - 84*T1^8*T2^3 - 525*T1^9*T2^3 + 364*T1^10*T2^3 - 
      52*T1^11*T2^3 - 135*T1^12*T2^3 + 92*T1^13*T2^3 - 210*T2^4 + 
      360*T1*T2^4 - 95*T1^2*T2^4 - 450*T1^3*T2^4 + 876*T1^4*T2^4 + 
      103*T1^5*T2^4 + 439*T1^6*T2^4 + 340*T1^7*T2^4 + 179*T1^8*T2^4 + 
      653*T1^9*T2^4 + 216*T1^10*T2^4 - 450*T1^11*T2^4 + 315*T1^12*T2^4 - 
      10*T1^13*T2^4 - 90*T1^14*T2^4 + 231*T2^5 - 255*T1*T2^5 - 50*T1^2*T2^5 + 
      187*T1^3*T2^5 + 103*T1^4*T2^5 - 1680*T1^5*T2^5 + 240*T1^6*T2^5 - 
      1186*T1^7*T2^5 - 259*T1^8*T2^5 - 682*T1^9*T2^5 - 1056*T1^10*T2^5 + 
      571*T1^11*T2^5 - 74*T1^12*T2^5 - 244*T1^13*T2^5 + 120*T1^14*T2^5 + 
      66*T1^15*T2^5 - 210*T2^6 + 60*T1*T2^6 + 323*T1^2*T2^6 - 428*T1^3*T2^6 + 
      439*T1^4*T2^6 + 240*T1^5*T2^6 + 2724*T1^6*T2^6 - 1380*T1^7*T2^6 + 
      3176*T1^8*T2^6 - 1200*T1^9*T2^6 + 2724*T1^10*T2^6 - 600*T1^11*T2^6 + 
      19*T1^12*T2^6 + 112*T1^13*T2^6 + 143*T1^14*T2^6 - 180*T1^15*T2^6 - 
      30*T1^16*T2^6 + 161*T2^7 + 95*T1*T2^7 - 310*T1^2*T2^7 + 10*T1^3*T2^7 + 
      340*T1^4*T2^7 - 1186*T1^5*T2^7 - 1380*T1^6*T2^7 - 1326*T1^7*T2^7 - 
      695*T1^8*T2^7 - 1334*T1^9*T2^7 - 1080*T1^10*T2^7 - 915*T1^11*T2^7 + 
      95*T1^12*T2^7 + 169*T1^13*T2^7 - 292*T1^14*T2^7 + 60*T1^15*T2^7 + 
      150*T1^16*T2^7 - 91*T2^8 - 235*T1*T2^8 + 347*T1^2*T2^8 - 84*T1^3*T2^8 + 
      179*T1^4*T2^8 - 259*T1^5*T2^8 + 3176*T1^6*T2^8 - 695*T1^7*T2^8 + 
      3618*T1^8*T2^8 - 1764*T1^9*T2^8 + 3786*T1^10*T2^8 - 951*T1^11*T2^8 + 
      1442*T1^12*T2^8 - 655*T1^13*T2^8 + 119*T1^14*T2^8 + 212*T1^15*T2^8 - 
      191*T1^16*T2^8 - 65*T1^17*T2^8 + 13*T1^18*T2^8 + 35*T2^9 + 
      215*T1*T2^9 - 13*T1^2*T2^9 - 525*T1^3*T2^9 + 653*T1^4*T2^9 - 
      682*T1^5*T2^9 - 1200*T1^6*T2^9 - 1334*T1^7*T2^9 - 1764*T1^8*T2^9 + 
      5*T1^9*T2^9 - 1435*T1^10*T2^9 - 1004*T1^11*T2^9 + 71*T1^12*T2^9 - 
      525*T1^13*T2^9 + 568*T1^14*T2^9 - 307*T1^15*T2^9 + 182*T1^17*T2^9 - 
      15*T1^18*T2^9 - 10*T1^19*T2^9 - 7*T2^10 - 115*T1*T2^10 - 
      183*T1^2*T2^10 + 364*T1^3*T2^10 + 216*T1^4*T2^10 - 1056*T1^5*T2^10 + 
      2724*T1^6*T2^10 - 1080*T1^7*T2^10 + 3786*T1^8*T2^10 - 1435*T1^9*T2^10 + 
      1452*T1^10*T2^10 + 635*T1^11*T2^10 + 74*T1^12*T2^10 + 192*T1^13*T2^10 - 
      224*T1^14*T2^10 - 200*T1^15*T2^10 + 318*T1^16*T2^10 - 220*T1^17*T2^10 - 
      39*T1^18*T2^10 + 35*T1^19*T2^10 + 3*T1^20*T2^10 + 30*T1*T2^11 + 
      175*T1^2*T2^11 - 52*T1^3*T2^11 - 450*T1^4*T2^11 + 571*T1^5*T2^11 - 
      600*T1^6*T2^11 - 915*T1^7*T2^11 - 951*T1^8*T2^11 - 1004*T1^9*T2^11 + 
      635*T1^10*T2^11 - 805*T1^11*T2^11 - 244*T1^12*T2^11 + 454*T1^13*T2^11 - 
      240*T1^14*T2^11 + 650*T1^15*T2^11 - 389*T1^16*T2^11 + 75*T1^17*T2^11 + 
      143*T1^18*T2^11 - 55*T1^19*T2^11 - 15*T1^20*T2^11 - 65*T1^2*T2^12 - 
      135*T1^3*T2^12 + 315*T1^4*T2^12 - 74*T1^5*T2^12 + 19*T1^6*T2^12 + 
      95*T1^7*T2^12 + 1442*T1^8*T2^12 + 71*T1^9*T2^12 + 74*T1^10*T2^12 - 
      244*T1^11*T2^12 + 242*T1^12*T2^12 - 185*T1^13*T2^12 - 292*T1^14*T2^12 - 
      301*T1^15*T2^12 - 41*T1^16*T2^12 + 222*T1^17*T2^12 - 223*T1^18*T2^12 + 
      35*T1^19*T2^12 + 39*T1^20*T2^12 + 92*T1^3*T2^13 - 10*T1^4*T2^13 - 
      244*T1^5*T2^13 + 112*T1^6*T2^13 + 169*T1^7*T2^13 - 655*T1^8*T2^13 - 
      525*T1^9*T2^13 + 192*T1^10*T2^13 + 454*T1^11*T2^13 - 185*T1^12*T2^13 + 
      438*T1^13*T2^13 - 60*T1^14*T2^13 + 626*T1^15*T2^13 - 2*T1^16*T2^13 - 
      190*T1^17*T2^13 + 126*T1^18*T2^13 + 45*T1^19*T2^13 - 69*T1^20*T2^13 - 
      90*T1^4*T2^14 + 120*T1^5*T2^14 + 143*T1^6*T2^14 - 292*T1^7*T2^14 + 
      119*T1^8*T2^14 + 568*T1^9*T2^14 - 224*T1^10*T2^14 - 240*T1^11*T2^14 - 
      292*T1^12*T2^14 - 60*T1^13*T2^14 - 224*T1^14*T2^14 - 272*T1^15*T2^14 - 
      301*T1^16*T2^14 + 248*T1^17*T2^14 - 37*T1^18*T2^14 - 120*T1^19*T2^14 + 
      90*T1^20*T2^14 + 66*T1^5*T2^15 - 180*T1^6*T2^15 + 60*T1^7*T2^15 + 
      212*T1^8*T2^15 - 307*T1^9*T2^15 - 200*T1^10*T2^15 + 650*T1^11*T2^15 - 
      301*T1^12*T2^15 + 626*T1^13*T2^15 - 272*T1^14*T2^15 + 424*T1^15*T2^15 + 
      161*T1^16*T2^15 - 49*T1^17*T2^15 - 134*T1^18*T2^15 + 195*T1^19*T2^15 - 
      99*T1^20*T2^15 - 30*T1^6*T2^16 + 150*T1^7*T2^16 - 191*T1^8*T2^16 + 
      318*T1^10*T2^16 - 389*T1^11*T2^16 - 41*T1^12*T2^16 - 2*T1^13*T2^16 - 
      301*T1^14*T2^16 + 161*T1^15*T2^16 - 342*T1^16*T2^16 + 219*T1^18*T2^16 - 
      220*T1^19*T2^16 + 90*T1^20*T2^16 - 65*T1^8*T2^17 + 182*T1^9*T2^17 - 
      220*T1^10*T2^17 + 75*T1^11*T2^17 + 222*T1^12*T2^17 - 190*T1^13*T2^17 + 
      248*T1^14*T2^17 - 49*T1^15*T2^17 + 266*T1^17*T2^17 - 325*T1^18*T2^17 + 
      215*T1^19*T2^17 - 69*T1^20*T2^17 + 13*T1^8*T2^18 - 15*T1^9*T2^18 - 
      39*T1^10*T2^18 + 143*T1^11*T2^18 - 223*T1^12*T2^18 + 126*T1^13*T2^18 - 
      37*T1^14*T2^18 - 134*T1^15*T2^18 + 219*T1^16*T2^18 - 325*T1^17*T2^18 + 
      273*T1^18*T2^18 - 145*T1^19*T2^18 + 39*T1^20*T2^18 - 10*T1^9*T2^19 + 
      35*T1^10*T2^19 - 55*T1^11*T2^19 + 35*T1^12*T2^19 + 45*T1^13*T2^19 - 
      120*T1^14*T2^19 + 195*T1^15*T2^19 - 220*T1^16*T2^19 + 215*T1^17*T2^19 - 
      145*T1^18*T2^19 + 65*T1^19*T2^19 - 15*T1^20*T2^19 + 3*T1^10*T2^20 - 
      15*T1^11*T2^20 + 39*T1^12*T2^20 - 69*T1^13*T2^20 + 90*T1^14*T2^20 - 
      99*T1^15*T2^20 + 90*T1^16*T2^20 - 69*T1^17*T2^20 + 39*T1^18*T2^20 - 
      15*T1^19*T2^20 + 3*T1^20*T2^20)/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1256] -> 
  {-((2 - 8*T + 18*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-25 + 100*T1 - 225*T1^2 + 338*T1^3 - 363*T1^4 + 338*T1^5 - 
      225*T1^6 + 100*T1^7 - 25*T1^8 + 100*T2 - 332*T1*T2 + 628*T1^2*T2 - 
      740*T1^3*T2 + 532*T1^4*T2 - 364*T1^5*T2 - 20*T1^6*T2 + 212*T1^7*T2 - 
      172*T1^8*T2 + 68*T1^9*T2 - 225*T2^2 + 628*T1*T2^2 - 1026*T1^2*T2^2 + 
      954*T1^3*T2^2 - 400*T1^4*T2^2 + 304*T1^5*T2^2 + 392*T1^6*T2^2 - 
      414*T1^7*T2^2 + 126*T1^8*T2^2 + 52*T1^9*T2^2 - 81*T1^10*T2^2 + 
      338*T2^3 - 740*T1*T2^3 + 954*T1^2*T2^3 - 458*T1^3*T2^3 - 
      331*T1^4*T2^3 - 65*T1^5*T2^3 - 839*T1^6*T2^3 + 155*T1^7*T2^3 + 
      496*T1^8*T2^3 - 522*T1^9*T2^3 + 268*T1^10*T2^3 + 14*T1^11*T2^3 - 
      363*T2^4 + 532*T1*T2^4 - 400*T1^2*T2^4 - 331*T1^3*T2^4 + 
      751*T1^4*T2^4 + 529*T1^5*T2^4 + 581*T1^6*T2^4 + 873*T1^7*T2^4 - 
      1193*T1^8*T2^4 + 317*T1^9*T2^4 + 320*T1^10*T2^4 - 460*T1^11*T2^4 + 
      101*T1^12*T2^4 + 338*T2^5 - 364*T1*T2^5 + 304*T1^2*T2^5 - 
      65*T1^3*T2^5 + 529*T1^4*T2^5 - 2356*T1^5*T2^5 + 628*T1^6*T2^5 - 
      2288*T1^7*T2^5 + 1592*T1^8*T2^5 + 247*T1^9*T2^5 - 443*T1^10*T2^5 + 
      40*T1^11*T2^5 + 404*T1^12*T2^5 - 202*T1^13*T2^5 - 225*T2^6 - 
      20*T1*T2^6 + 392*T1^2*T2^6 - 839*T1^3*T2^6 + 581*T1^4*T2^6 + 
      628*T1^5*T2^6 + 1503*T1^6*T2^6 + 803*T1^7*T2^6 + 27*T1^8*T2^6 - 
      1712*T1^9*T2^6 + 221*T1^10*T2^6 + 529*T1^11*T2^6 - 544*T1^12*T2^6 - 
      20*T1^13*T2^6 + 207*T1^14*T2^6 + 100*T2^7 + 212*T1*T2^7 - 
      414*T1^2*T2^7 + 155*T1^3*T2^7 + 873*T1^4*T2^7 - 2288*T1^5*T2^7 + 
      803*T1^6*T2^7 - 2995*T1^7*T2^7 + 1167*T1^8*T2^7 + 956*T1^9*T2^7 + 
      1780*T1^10*T2^7 - 1349*T1^11*T2^7 + 317*T1^12*T2^7 + 414*T1^13*T2^7 - 
      332*T1^14*T2^7 - 124*T1^15*T2^7 - 25*T2^8 - 172*T1*T2^8 + 
      126*T1^2*T2^8 + 496*T1^3*T2^8 - 1193*T1^4*T2^8 + 1592*T1^5*T2^8 + 
      27*T1^6*T2^8 + 1167*T1^7*T2^8 + 396*T1^8*T2^8 - 1531*T1^9*T2^8 - 
      2475*T1^10*T2^8 + 200*T1^11*T2^8 + 1031*T1^12*T2^8 - 908*T1^13*T2^8 + 
      222*T1^14*T2^8 + 340*T1^15*T2^8 + 39*T1^16*T2^8 + 68*T1*T2^9 + 
      52*T1^2*T2^9 - 522*T1^3*T2^9 + 317*T1^4*T2^9 + 247*T1^5*T2^9 - 
      1712*T1^6*T2^9 + 956*T1^7*T2^9 - 1531*T1^8*T2^9 + 2631*T1^9*T2^9 + 
      1109*T1^10*T2^9 + 2356*T1^11*T2^9 - 1975*T1^12*T2^9 + 479*T1^13*T2^9 + 
      306*T1^14*T2^9 - 492*T1^15*T2^9 - 156*T1^16*T2^9 - 81*T1^2*T2^10 + 
      268*T1^3*T2^10 + 320*T1^4*T2^10 - 443*T1^5*T2^10 + 221*T1^6*T2^10 + 
      1780*T1^7*T2^10 - 2475*T1^8*T2^10 + 1109*T1^9*T2^10 - 
      3951*T1^10*T2^10 - 560*T1^11*T2^10 - 139*T1^12*T2^10 + 
      925*T1^13*T2^10 - 616*T1^14*T2^10 + 268*T1^15*T2^10 + 351*T1^16*T2^10 + 
      14*T1^3*T2^11 - 460*T1^4*T2^11 + 40*T1^5*T2^11 + 529*T1^6*T2^11 - 
      1349*T1^7*T2^11 + 200*T1^8*T2^11 + 2356*T1^9*T2^11 - 560*T1^10*T2^11 + 
      4148*T1^11*T2^11 - 1631*T1^12*T2^11 + 151*T1^13*T2^11 - 
      224*T1^14*T2^11 + 308*T1^15*T2^11 - 526*T1^16*T2^11 + 101*T1^4*T2^12 + 
      404*T1^5*T2^12 - 544*T1^6*T2^12 + 317*T1^7*T2^12 + 1031*T1^8*T2^12 - 
      1975*T1^9*T2^12 - 139*T1^10*T2^12 - 1631*T1^11*T2^12 - 
      913*T1^12*T2^12 + 965*T1^13*T2^12 + 176*T1^14*T2^12 - 588*T1^15*T2^12 + 
      565*T1^16*T2^12 - 202*T1^5*T2^13 - 20*T1^6*T2^13 + 414*T1^7*T2^13 - 
      908*T1^8*T2^13 + 479*T1^9*T2^13 + 925*T1^10*T2^13 + 151*T1^11*T2^13 + 
      965*T1^12*T2^13 + 46*T1^13*T2^13 - 1062*T1^14*T2^13 + 988*T1^15*T2^13 - 
      526*T1^16*T2^13 + 207*T1^6*T2^14 - 332*T1^7*T2^14 + 222*T1^8*T2^14 + 
      306*T1^9*T2^14 - 616*T1^10*T2^14 - 224*T1^11*T2^14 + 176*T1^12*T2^14 - 
      1062*T1^13*T2^14 + 1374*T1^14*T2^14 - 908*T1^15*T2^14 + 
      351*T1^16*T2^14 - 124*T1^7*T2^15 + 340*T1^8*T2^15 - 492*T1^9*T2^15 + 
      268*T1^10*T2^15 + 308*T1^11*T2^15 - 588*T1^12*T2^15 + 988*T1^13*T2^15 - 
      908*T1^14*T2^15 + 500*T1^15*T2^15 - 156*T1^16*T2^15 + 39*T1^8*T2^16 - 
      156*T1^9*T2^16 + 351*T1^10*T2^16 - 526*T1^11*T2^16 + 565*T1^12*T2^16 - 
      526*T1^13*T2^16 + 351*T1^14*T2^16 - 156*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1257] -> 
  {-((2 - 10*T + 25*T^2 - 41*T^3 + 47*T^4 - 41*T^5 + 25*T^6 - 10*T^7 + 2*T^8)/
     T^4), -((-41 + 205*T1 - 512*T1^2 + 839*T1^3 - 961*T1^4 + 839*T1^5 - 
      512*T1^6 + 205*T1^7 - 41*T1^8 + 205*T2 - 860*T1*T2 + 1735*T1^2*T2 - 
      2135*T1^3*T2 + 1430*T1^4*T2 - 330*T1^5*T2 - 815*T1^6*T2 + 
      1035*T1^7*T2 - 620*T1^8*T2 + 165*T1^9*T2 - 512*T2^2 + 1735*T1*T2^2 - 
      2567*T1^2*T2^2 + 1683*T1^3*T2^2 + 1097*T1^4*T2^2 - 2629*T1^5*T2^2 + 
      3297*T1^6*T2^2 - 1417*T1^7*T2^2 - 267*T1^8*T2^2 + 735*T1^9*T2^2 - 
      312*T1^10*T2^2 + 839*T2^3 - 2135*T1*T2^3 + 1683*T1^2*T2^3 + 
      1256*T1^3*T2^3 - 4986*T1^4*T2^3 + 3696*T1^5*T2^3 - 2068*T1^6*T2^3 - 
      2508*T1^7*T2^3 + 3084*T1^8*T2^3 - 1467*T1^9*T2^3 - 175*T1^10*T2^3 + 
      347*T1^11*T2^3 - 961*T2^4 + 1430*T1*T2^4 + 1097*T1^2*T2^4 - 
      4986*T1^3*T2^4 + 6653*T1^4*T2^4 - 383*T1^5*T2^4 - 1789*T1^6*T2^4 + 
      6001*T1^7*T2^4 - 1847*T1^8*T2^4 - 1542*T1^9*T2^4 + 2297*T1^10*T2^4 - 
      690*T1^11*T2^4 - 209*T1^12*T2^4 + 839*T2^5 - 330*T1*T2^5 - 
      2629*T1^2*T2^5 + 3696*T1^3*T2^5 - 383*T1^4*T2^5 - 8669*T1^5*T2^5 + 
      5959*T1^6*T2^5 - 5531*T1^7*T2^5 - 3759*T1^8*T2^5 + 5102*T1^9*T2^5 - 
      2444*T1^10*T2^5 - 829*T1^11*T2^5 + 950*T1^12*T2^5 + 19*T1^13*T2^5 - 
      512*T2^6 - 815*T1*T2^6 + 3297*T1^2*T2^6 - 2068*T1^3*T2^6 - 
      1789*T1^4*T2^6 + 5959*T1^5*T2^6 + 4311*T1^6*T2^6 - 6165*T1^7*T2^6 + 
      12071*T1^8*T2^6 - 5391*T1^9*T2^6 - 879*T1^10*T2^6 + 3132*T1^11*T2^6 - 
      903*T1^12*T2^6 - 535*T1^13*T2^6 + 88*T1^14*T2^6 + 205*T2^7 + 
      1035*T1*T2^7 - 1417*T1^2*T2^7 - 2508*T1^3*T2^7 + 6001*T1^4*T2^7 - 
      5531*T1^5*T2^7 - 6165*T1^6*T2^7 + 4242*T1^7*T2^7 - 4454*T1^8*T2^7 - 
      4008*T1^9*T2^7 + 6239*T1^10*T2^7 - 3080*T1^11*T2^7 - 1122*T1^12*T2^7 + 
      1433*T1^13*T2^7 - 65*T1^14*T2^7 - 75*T1^15*T2^7 - 41*T2^8 - 
      620*T1*T2^8 - 267*T1^2*T2^8 + 3084*T1^3*T2^8 - 1847*T1^4*T2^8 - 
      3759*T1^5*T2^8 + 12071*T1^6*T2^8 - 4454*T1^7*T2^8 + 84*T1^8*T2^8 + 
      5490*T1^9*T2^8 - 3451*T1^10*T2^8 - 2045*T1^11*T2^8 + 3937*T1^12*T2^8 - 
      1504*T1^13*T2^8 - 467*T1^14*T2^8 + 260*T1^15*T2^8 + 23*T1^16*T2^8 + 
      165*T1*T2^9 + 735*T1^2*T2^9 - 1467*T1^3*T2^9 - 1542*T1^4*T2^9 + 
      5102*T1^5*T2^9 - 5391*T1^6*T2^9 - 4008*T1^7*T2^9 + 5490*T1^8*T2^9 - 
      3206*T1^9*T2^9 - 1851*T1^10*T2^9 + 6379*T1^11*T2^9 - 3979*T1^12*T2^9 - 
      156*T1^13*T2^9 + 1383*T1^14*T2^9 - 365*T1^15*T2^9 - 115*T1^16*T2^9 - 
      312*T1^2*T2^10 - 175*T1^3*T2^10 + 2297*T1^4*T2^10 - 2444*T1^5*T2^10 - 
      879*T1^6*T2^10 + 6239*T1^7*T2^10 - 3451*T1^8*T2^10 - 1851*T1^9*T2^10 + 
      4309*T1^10*T2^10 - 5111*T1^11*T2^10 + 31*T1^12*T2^10 + 
      2756*T1^13*T2^10 - 1903*T1^14*T2^10 + 105*T1^15*T2^10 + 
      288*T1^16*T2^10 + 347*T1^3*T2^11 - 690*T1^4*T2^11 - 829*T1^5*T2^11 + 
      3132*T1^6*T2^11 - 3080*T1^7*T2^11 - 2045*T1^8*T2^11 + 6379*T1^9*T2^11 - 
      5111*T1^10*T2^11 + 2865*T1^11*T2^11 + 2405*T1^12*T2^11 - 
      3008*T1^13*T2^11 + 971*T1^14*T2^11 + 590*T1^15*T2^11 - 
      473*T1^16*T2^11 - 209*T1^4*T2^12 + 950*T1^5*T2^12 - 903*T1^6*T2^12 - 
      1122*T1^7*T2^12 + 3937*T1^8*T2^12 - 3979*T1^9*T2^12 + 31*T1^10*T2^12 + 
      2405*T1^11*T2^12 - 4563*T1^12*T2^12 + 2322*T1^13*T2^12 + 
      297*T1^14*T2^12 - 1170*T1^15*T2^12 + 543*T1^16*T2^12 + 19*T1^5*T2^13 - 
      535*T1^6*T2^13 + 1433*T1^7*T2^13 - 1504*T1^8*T2^13 - 156*T1^9*T2^13 + 
      2756*T1^10*T2^13 - 3008*T1^11*T2^13 + 2322*T1^12*T2^13 + 
      324*T1^13*T2^13 - 1717*T1^14*T2^13 + 1425*T1^15*T2^13 - 
      473*T1^16*T2^13 + 88*T1^6*T2^14 - 65*T1^7*T2^14 - 467*T1^8*T2^14 + 
      1383*T1^9*T2^14 - 1903*T1^10*T2^14 + 971*T1^11*T2^14 + 
      297*T1^12*T2^14 - 1717*T1^13*T2^14 + 1833*T1^14*T2^14 - 
      1065*T1^15*T2^14 + 288*T1^16*T2^14 - 75*T1^7*T2^15 + 260*T1^8*T2^15 - 
      365*T1^9*T2^15 + 105*T1^10*T2^15 + 590*T1^11*T2^15 - 1170*T1^12*T2^15 + 
      1425*T1^13*T2^15 - 1065*T1^14*T2^15 + 500*T1^15*T2^15 - 
      115*T1^16*T2^15 + 23*T1^8*T2^16 - 115*T1^9*T2^16 + 288*T1^10*T2^16 - 
      473*T1^11*T2^16 + 543*T1^12*T2^16 - 473*T1^13*T2^16 + 288*T1^14*T2^16 - 
      115*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1258] -> 
  {-((1 - 4*T + 10*T^2 - 19*T^3 + 28*T^4 - 33*T^5 + 28*T^6 - 19*T^7 + 
      10*T^8 - 4*T^9 + T^10)/T^5), 
   -((-5 + 20*T1 - 50*T1^2 + 95*T1^3 - 140*T1^4 + 165*T1^5 - 140*T1^6 + 
      95*T1^7 - 50*T1^8 + 20*T1^9 - 5*T1^10 + 20*T2 - 64*T1*T2 + 
      136*T1^2*T2 - 220*T1^3*T2 + 256*T1^4*T2 - 212*T1^5*T2 + 32*T1^6*T2 + 
      68*T1^7*T2 - 104*T1^8*T2 + 80*T1^9*T2 - 44*T1^10*T2 + 16*T1^11*T2 - 
      50*T2^2 + 136*T1*T2^2 - 274*T1^2*T2^2 + 430*T1^3*T2^2 - 485*T1^4*T2^2 + 
      430*T1^5*T2^2 - 130*T1^6*T2^2 + 150*T1^7*T2^2 - 125*T1^8*T2^2 + 
      130*T1^9*T2^2 - 94*T1^10*T2^2 + 56*T1^11*T2^2 - 30*T1^12*T2^2 + 
      95*T2^3 - 220*T1*T2^3 + 430*T1^2*T2^3 - 647*T1^3*T2^3 + 671*T1^4*T2^3 - 
      557*T1^5*T2^3 + 17*T1^6*T2^3 - 222*T1^7*T2^3 + 14*T1^8*T2^3 + 
      7*T1^9*T2^3 - 67*T1^10*T2^3 + 60*T1^11*T2^3 - 32*T1^12*T2^3 + 
      38*T1^13*T2^3 - 140*T2^4 + 256*T1*T2^4 - 485*T1^2*T2^4 + 
      671*T1^3*T2^4 - 575*T1^4*T2^4 + 407*T1^5*T2^4 + 311*T1^6*T2^4 + 
      347*T1^7*T2^4 + 199*T1^8*T2^4 - 105*T1^9*T2^4 + 169*T1^10*T2^4 - 
      89*T1^11*T2^4 + 27*T1^12*T2^4 - 40*T1^13*T2^4 - 28*T1^14*T2^4 + 
      165*T2^5 - 212*T1*T2^5 + 430*T1^2*T2^5 - 557*T1^3*T2^5 + 
      407*T1^4*T2^5 - 369*T1^5*T2^5 - 302*T1^6*T2^5 - 910*T1^7*T2^5 - 
      327*T1^8*T2^5 - 64*T1^9*T2^5 - T1^10*T2^5 - 153*T1^11*T2^5 + 
      168*T1^12*T2^5 - 66*T1^13*T2^5 + 112*T1^14*T2^5 - 140*T2^6 + 
      32*T1*T2^6 - 130*T1^2*T2^6 + 17*T1^3*T2^6 + 311*T1^4*T2^6 - 
      302*T1^5*T2^6 + 873*T1^6*T2^6 + 666*T1^7*T2^6 + 1363*T1^8*T2^6 - 
      190*T1^9*T2^6 + 177*T1^10*T2^6 + 10*T1^11*T2^6 + 23*T1^12*T2^6 - 
      135*T1^13*T2^6 - 2*T1^14*T2^6 - 112*T1^15*T2^6 + 28*T1^16*T2^6 + 
      95*T2^7 + 68*T1*T2^7 + 150*T1^2*T2^7 - 222*T1^3*T2^7 + 347*T1^4*T2^7 - 
      910*T1^5*T2^7 + 666*T1^6*T2^7 - 1871*T1^7*T2^7 - 1076*T1^8*T2^7 - 
      776*T1^9*T2^7 + 435*T1^10*T2^7 - 270*T1^11*T2^7 + 151*T1^12*T2^7 + 
      23*T1^13*T2^7 + 133*T1^14*T2^7 + 70*T1^15*T2^7 + 40*T1^16*T2^7 - 
      38*T1^17*T2^7 - 50*T2^8 - 104*T1*T2^8 - 125*T1^2*T2^8 + 14*T1^3*T2^8 + 
      199*T1^4*T2^8 - 327*T1^5*T2^8 + 1363*T1^6*T2^8 - 1076*T1^7*T2^8 + 
      3457*T1^8*T2^8 + 57*T1^9*T2^8 - 59*T1^10*T2^8 - 192*T1^11*T2^8 - 
      15*T1^12*T2^8 - 193*T1^13*T2^8 - 41*T1^14*T2^8 - 172*T1^15*T2^8 - 
      29*T1^16*T2^8 + 32*T1^17*T2^8 + 30*T1^18*T2^8 + 20*T2^9 + 80*T1*T2^9 + 
      130*T1^2*T2^9 + 7*T1^3*T2^9 - 105*T1^4*T2^9 - 64*T1^5*T2^9 - 
      190*T1^6*T2^9 - 776*T1^7*T2^9 + 57*T1^8*T2^9 - 3370*T1^9*T2^9 + 
      1792*T1^10*T2^9 + 97*T1^11*T2^9 + 92*T1^12*T2^9 + 426*T1^13*T2^9 - 
      6*T1^14*T2^9 + 167*T1^15*T2^9 + 95*T1^16*T2^9 - 60*T1^17*T2^9 - 
      56*T1^18*T2^9 - 16*T1^19*T2^9 - 5*T2^10 - 44*T1*T2^10 - 94*T1^2*T2^10 - 
      67*T1^3*T2^10 + 169*T1^4*T2^10 - T1^5*T2^10 + 177*T1^6*T2^10 + 
      435*T1^7*T2^10 - 59*T1^8*T2^10 + 1792*T1^9*T2^10 + 336*T1^10*T2^10 - 
      2056*T1^11*T2^10 + 157*T1^12*T2^10 - 503*T1^13*T2^10 - 
      291*T1^14*T2^10 + 21*T1^15*T2^10 - 191*T1^16*T2^10 + 67*T1^17*T2^10 + 
      94*T1^18*T2^10 + 44*T1^19*T2^10 + 5*T1^20*T2^10 + 16*T1*T2^11 + 
      56*T1^2*T2^11 + 60*T1^3*T2^11 - 89*T1^4*T2^11 - 153*T1^5*T2^11 + 
      10*T1^6*T2^11 - 270*T1^7*T2^11 - 192*T1^8*T2^11 + 97*T1^9*T2^11 - 
      2056*T1^10*T2^11 + 3106*T1^11*T2^11 + 137*T1^12*T2^11 + 
      676*T1^13*T2^11 + 346*T1^14*T2^11 + 68*T1^15*T2^11 + 119*T1^16*T2^11 - 
      T1^17*T2^11 - 130*T1^18*T2^11 - 80*T1^19*T2^11 - 20*T1^20*T2^11 - 
      30*T1^2*T2^12 - 32*T1^3*T2^12 + 27*T1^4*T2^12 + 168*T1^5*T2^12 + 
      23*T1^6*T2^12 + 151*T1^7*T2^12 - 15*T1^8*T2^12 + 92*T1^9*T2^12 + 
      157*T1^10*T2^12 + 137*T1^11*T2^12 - 3359*T1^12*T2^12 + 
      976*T1^13*T2^12 - 1393*T1^14*T2^12 + 285*T1^15*T2^12 - 
      217*T1^16*T2^12 - 18*T1^17*T2^12 + 123*T1^18*T2^12 + 104*T1^19*T2^12 + 
      50*T1^20*T2^12 + 38*T1^3*T2^13 - 40*T1^4*T2^13 - 66*T1^5*T2^13 - 
      135*T1^6*T2^13 + 23*T1^7*T2^13 - 193*T1^8*T2^13 + 426*T1^9*T2^13 - 
      503*T1^10*T2^13 + 676*T1^11*T2^13 + 976*T1^12*T2^13 + 
      1803*T1^13*T2^13 - 510*T1^14*T2^13 + 868*T1^15*T2^13 - 
      301*T1^16*T2^13 + 220*T1^17*T2^13 - 146*T1^18*T2^13 - 68*T1^19*T2^13 - 
      95*T1^20*T2^13 - 28*T1^4*T2^14 + 112*T1^5*T2^14 - 2*T1^6*T2^14 + 
      133*T1^7*T2^14 - 41*T1^8*T2^14 - 6*T1^9*T2^14 - 291*T1^10*T2^14 + 
      346*T1^11*T2^14 - 1393*T1^12*T2^14 - 510*T1^13*T2^14 - 
      987*T1^14*T2^14 + 306*T1^15*T2^14 - 329*T1^16*T2^14 - 19*T1^17*T2^14 + 
      126*T1^18*T2^14 - 32*T1^19*T2^14 + 140*T1^20*T2^14 - 112*T1^6*T2^15 + 
      70*T1^7*T2^15 - 172*T1^8*T2^15 + 167*T1^9*T2^15 + 21*T1^10*T2^15 + 
      68*T1^11*T2^15 + 285*T1^12*T2^15 + 868*T1^13*T2^15 + 306*T1^14*T2^15 + 
      389*T1^15*T2^15 - 393*T1^16*T2^15 + 553*T1^17*T2^15 - 426*T1^18*T2^15 + 
      212*T1^19*T2^15 - 165*T1^20*T2^15 + 28*T1^6*T2^16 + 40*T1^7*T2^16 - 
      29*T1^8*T2^16 + 95*T1^9*T2^16 - 191*T1^10*T2^16 + 119*T1^11*T2^16 - 
      217*T1^12*T2^16 - 301*T1^13*T2^16 - 329*T1^14*T2^16 - 393*T1^15*T2^16 + 
      553*T1^16*T2^16 - 665*T1^17*T2^16 + 483*T1^18*T2^16 - 256*T1^19*T2^16 + 
      140*T1^20*T2^16 - 38*T1^7*T2^17 + 32*T1^8*T2^17 - 60*T1^9*T2^17 + 
      67*T1^10*T2^17 - T1^11*T2^17 - 18*T1^12*T2^17 + 220*T1^13*T2^17 - 
      19*T1^14*T2^17 + 553*T1^15*T2^17 - 665*T1^16*T2^17 + 647*T1^17*T2^17 - 
      430*T1^18*T2^17 + 220*T1^19*T2^17 - 95*T1^20*T2^17 + 30*T1^8*T2^18 - 
      56*T1^9*T2^18 + 94*T1^10*T2^18 - 130*T1^11*T2^18 + 123*T1^12*T2^18 - 
      146*T1^13*T2^18 + 126*T1^14*T2^18 - 426*T1^15*T2^18 + 483*T1^16*T2^18 - 
      430*T1^17*T2^18 + 274*T1^18*T2^18 - 136*T1^19*T2^18 + 50*T1^20*T2^18 - 
      16*T1^9*T2^19 + 44*T1^10*T2^19 - 80*T1^11*T2^19 + 104*T1^12*T2^19 - 
      68*T1^13*T2^19 - 32*T1^14*T2^19 + 212*T1^15*T2^19 - 256*T1^16*T2^19 + 
      220*T1^17*T2^19 - 136*T1^18*T2^19 + 64*T1^19*T2^19 - 20*T1^20*T2^19 + 
      5*T1^10*T2^20 - 20*T1^11*T2^20 + 50*T1^12*T2^20 - 95*T1^13*T2^20 + 
      140*T1^14*T2^20 - 165*T1^15*T2^20 + 140*T1^16*T2^20 - 95*T1^17*T2^20 + 
      50*T1^18*T2^20 - 20*T1^19*T2^20 + 5*T1^20*T2^20)/
     (T1^11*T2^10*(-1 + T1*T2)))}, Knot[12, Alternating, 1259] -> 
  {-((2 - 8*T + 18*T^2 - 28*T^3 + 31*T^4 - 28*T^5 + 18*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-25 + 100*T1 - 225*T1^2 + 351*T1^3 - 389*T1^4 + 351*T1^5 - 
      225*T1^6 + 100*T1^7 - 25*T1^8 + 100*T2 - 332*T1*T2 + 628*T1^2*T2 - 
      792*T1^3*T2 + 600*T1^4*T2 - 344*T1^5*T2 - 56*T1^6*T2 + 212*T1^7*T2 - 
      172*T1^8*T2 + 68*T1^9*T2 - 225*T2^2 + 628*T1*T2^2 - 1026*T1^2*T2^2 + 
      1071*T1^3*T2^2 - 494*T1^4*T2^2 + 186*T1^5*T2^2 + 442*T1^6*T2^2 - 
      369*T1^7*T2^2 + 126*T1^8*T2^2 + 52*T1^9*T2^2 - 81*T1^10*T2^2 + 
      351*T2^3 - 792*T1*T2^3 + 1071*T1^2*T2^3 - 818*T1^3*T2^3 - 
      87*T1^4*T2^3 + 38*T1^5*T2^3 - 730*T1^6*T2^3 - 15*T1^7*T2^3 + 
      478*T1^8*T2^3 - 513*T1^9*T2^3 + 264*T1^10*T2^3 + 15*T1^11*T2^3 - 
      389*T2^4 + 600*T1*T2^4 - 494*T1^2*T2^4 - 87*T1^3*T2^4 + 949*T1^4*T2^4 - 
      114*T1^5*T2^4 + 759*T1^6*T2^4 + 750*T1^7*T2^4 - 819*T1^8*T2^4 + 
      137*T1^9*T2^4 + 386*T1^10*T2^4 - 488*T1^11*T2^4 + 107*T1^12*T2^4 + 
      351*T2^5 - 344*T1*T2^5 + 186*T1^2*T2^5 + 38*T1^3*T2^5 - 114*T1^4*T2^5 - 
      1550*T1^5*T2^5 + 621*T1^6*T2^5 - 2171*T1^7*T2^5 + 1018*T1^8*T2^5 + 
      422*T1^9*T2^5 - 474*T1^10*T2^5 + 90*T1^11*T2^5 + 408*T1^12*T2^5 - 
      209*T1^13*T2^5 - 225*T2^6 - 56*T1*T2^6 + 442*T1^2*T2^6 - 
      730*T1^3*T2^6 + 759*T1^4*T2^6 + 621*T1^5*T2^6 + 764*T1^6*T2^6 + 
      776*T1^7*T2^6 + 808*T1^8*T2^6 - 1763*T1^9*T2^6 + 223*T1^10*T2^6 + 
      422*T1^11*T2^6 - 606*T1^12*T2^6 + 8*T1^13*T2^6 + 207*T1^14*T2^6 + 
      100*T2^7 + 212*T1*T2^7 - 369*T1^2*T2^7 - 15*T1^3*T2^7 + 750*T1^4*T2^7 - 
      2171*T1^5*T2^7 + 776*T1^6*T2^7 - 1448*T1^7*T2^7 - 708*T1^8*T2^7 + 
      1320*T1^9*T2^7 + 1437*T1^10*T2^7 - 1098*T1^11*T2^7 + 521*T1^12*T2^7 + 
      351*T1^13*T2^7 - 332*T1^14*T2^7 - 124*T1^15*T2^7 - 25*T2^8 - 
      172*T1*T2^8 + 126*T1^2*T2^8 + 478*T1^3*T2^8 - 819*T1^4*T2^8 + 
      1018*T1^5*T2^8 + 808*T1^6*T2^8 - 708*T1^7*T2^8 + 1200*T1^8*T2^8 - 
      356*T1^9*T2^8 - 3144*T1^10*T2^8 + 826*T1^11*T2^8 + 205*T1^12*T2^8 - 
      738*T1^13*T2^8 + 222*T1^14*T2^8 + 340*T1^15*T2^8 + 39*T1^16*T2^8 + 
      68*T1*T2^9 + 52*T1^2*T2^9 - 513*T1^3*T2^9 + 137*T1^4*T2^9 + 
      422*T1^5*T2^9 - 1763*T1^6*T2^9 + 1320*T1^7*T2^9 - 356*T1^8*T2^9 + 
      384*T1^9*T2^9 + 1864*T1^10*T2^9 + 1845*T1^11*T2^9 - 1426*T1^12*T2^9 + 
      673*T1^13*T2^9 + 207*T1^14*T2^9 - 492*T1^15*T2^9 - 156*T1^16*T2^9 - 
      81*T1^2*T2^10 + 264*T1^3*T2^10 + 386*T1^4*T2^10 - 474*T1^5*T2^10 + 
      223*T1^6*T2^10 + 1437*T1^7*T2^10 - 3144*T1^8*T2^10 + 1864*T1^9*T2^10 - 
      3100*T1^10*T2^10 - 947*T1^11*T2^10 - 313*T1^12*T2^10 + 
      678*T1^13*T2^10 - 662*T1^14*T2^10 + 328*T1^15*T2^10 + 351*T1^16*T2^10 + 
      15*T1^3*T2^11 - 488*T1^4*T2^11 + 90*T1^5*T2^11 + 422*T1^6*T2^11 - 
      1098*T1^7*T2^11 + 826*T1^8*T2^11 + 1845*T1^9*T2^11 - 947*T1^10*T2^11 + 
      3394*T1^11*T2^11 - 562*T1^12*T2^11 - 90*T1^13*T2^11 - 6*T1^14*T2^11 + 
      264*T1^15*T2^11 - 545*T1^16*T2^11 + 107*T1^4*T2^12 + 408*T1^5*T2^12 - 
      606*T1^6*T2^12 + 521*T1^7*T2^12 + 205*T1^8*T2^12 - 1426*T1^9*T2^12 - 
      313*T1^10*T2^12 - 562*T1^11*T2^12 - 1563*T1^12*T2^12 + 
      745*T1^13*T2^12 + 274*T1^14*T2^12 - 680*T1^15*T2^12 + 603*T1^16*T2^12 - 
      209*T1^5*T2^13 + 8*T1^6*T2^13 + 351*T1^7*T2^13 - 738*T1^8*T2^13 + 
      673*T1^9*T2^13 + 678*T1^10*T2^13 - 90*T1^11*T2^13 + 745*T1^12*T2^13 + 
      558*T1^13*T2^13 - 1233*T1^14*T2^13 + 1064*T1^15*T2^13 - 
      545*T1^16*T2^13 + 207*T1^6*T2^14 - 332*T1^7*T2^14 + 222*T1^8*T2^14 + 
      207*T1^9*T2^14 - 662*T1^10*T2^14 - 6*T1^11*T2^14 + 274*T1^12*T2^14 - 
      1233*T1^13*T2^14 + 1374*T1^14*T2^14 - 908*T1^15*T2^14 + 
      351*T1^16*T2^14 - 124*T1^7*T2^15 + 340*T1^8*T2^15 - 492*T1^9*T2^15 + 
      328*T1^10*T2^15 + 264*T1^11*T2^15 - 680*T1^12*T2^15 + 
      1064*T1^13*T2^15 - 908*T1^14*T2^15 + 500*T1^15*T2^15 - 
      156*T1^16*T2^15 + 39*T1^8*T2^16 - 156*T1^9*T2^16 + 351*T1^10*T2^16 - 
      545*T1^11*T2^16 + 603*T1^12*T2^16 - 545*T1^13*T2^16 + 351*T1^14*T2^16 - 
      156*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1260] -> 
  {-(((1 - T + T^2)^2*(1 - 2*T + 3*T^2 - 5*T^3 + 3*T^4 - 2*T^5 + T^6))/T^5), 
   -(((1 - T1 + T1^2)^2*(1 - 2*T1 + 3*T1^2 - 5*T1^3 + 3*T1^4 - 2*T1^5 + T1^6)*
      (1 + T1*T2)*(1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*
      (1 - 2*T2 + 3*T2^2 - 5*T2^3 + 3*T2^4 - 2*T2^5 + T2^6)*
      (5 - 11*T1*T2 + 19*T1^2*T2^2 - 24*T1^3*T2^3 + 19*T1^4*T2^4 - 
       11*T1^5*T2^5 + 5*T1^6*T2^6))/(T1^11*T2^10))}, 
 Knot[12, Alternating, 1261] -> 
  {-(((1 - T + T^2)*(2 - 7*T + 14*T^2 - 19*T^3 + 14*T^4 - 7*T^5 + 2*T^6))/
     T^4), -((-41 + 183*T1 - 466*T1^2 + 810*T1^3 - 951*T1^4 + 810*T1^5 - 
      466*T1^6 + 183*T1^7 - 41*T1^8 + 183*T2 - 670*T1*T2 + 1425*T1^2*T2 - 
      1948*T1^3*T2 + 1349*T1^4*T2 - 217*T1^5*T2 - 814*T1^6*T2 + 849*T1^7*T2 - 
      472*T1^8*T2 + 147*T1^9*T2 - 466*T2^2 + 1425*T1*T2^2 - 2644*T1^2*T2^2 + 
      2987*T1^3*T2^2 - 1018*T1^4*T2^2 - 506*T1^5*T2^2 + 1190*T1^6*T2^2 + 
      135*T1^7*T2^2 - 712*T1^8*T2^2 + 597*T1^9*T2^2 - 282*T1^10*T2^2 + 
      810*T2^3 - 1948*T1*T2^3 + 2987*T1^2*T2^3 - 2269*T1^3*T2^3 - 
      1420*T1^4*T2^3 + 1733*T1^5*T2^3 - 1156*T1^6*T2^3 - 1819*T1^7*T2^3 + 
      1187*T1^8*T2^3 - 256*T1^9*T2^3 - 202*T1^10*T2^3 + 330*T1^11*T2^3 - 
      951*T2^4 + 1349*T1*T2^4 - 1018*T1^2*T2^4 - 1420*T1^3*T2^4 + 
      5378*T1^4*T2^4 - 1435*T1^5*T2^4 - 792*T1^6*T2^4 + 4189*T1^7*T2^4 - 
      22*T1^8*T2^4 - 1340*T1^9*T2^4 + 1150*T1^10*T2^4 - 595*T1^11*T2^4 - 
      199*T1^12*T2^4 + 810*T2^5 - 217*T1*T2^5 - 506*T1^2*T2^5 + 
      1733*T1^3*T2^5 - 1435*T1^4*T2^5 - 7821*T1^5*T2^5 + 7209*T1^6*T2^5 - 
      5684*T1^7*T2^5 - 4125*T1^8*T2^5 + 3623*T1^9*T2^5 - 1334*T1^10*T2^5 - 
      125*T1^11*T2^5 + 845*T1^12*T2^5 + 10*T1^13*T2^5 - 466*T2^6 - 
      814*T1*T2^6 + 1190*T1^2*T2^6 - 1156*T1^3*T2^6 - 792*T1^4*T2^6 + 
      7209*T1^5*T2^6 + 2491*T1^6*T2^6 - 8231*T1^7*T2^6 + 15535*T1^8*T2^6 - 
      6053*T1^9*T2^6 - 18*T1^10*T2^6 + 1466*T1^11*T2^6 - 1098*T1^12*T2^6 - 
      418*T1^13*T2^6 + 86*T1^14*T2^6 + 183*T2^7 + 849*T1*T2^7 + 
      135*T1^2*T2^7 - 1819*T1^3*T2^7 + 4189*T1^4*T2^7 - 5684*T1^5*T2^7 - 
      8231*T1^6*T2^7 + 11057*T1^7*T2^7 - 10357*T1^8*T2^7 - 3779*T1^9*T2^7 + 
      6471*T1^10*T2^7 - 3133*T1^11*T2^7 + 496*T1^12*T2^7 + 1032*T1^13*T2^7 - 
      87*T1^14*T2^7 - 69*T1^15*T2^7 - 41*T2^8 - 472*T1*T2^8 - 712*T1^2*T2^8 + 
      1187*T1^3*T2^8 - 22*T1^4*T2^8 - 4125*T1^5*T2^8 + 15535*T1^6*T2^8 - 
      10357*T1^7*T2^8 + 1188*T1^8*T2^8 + 10765*T1^9*T2^8 - 7149*T1^10*T2^8 - 
      3*T1^11*T2^8 + 1910*T1^12*T2^8 - 1559*T1^13*T2^8 - 118*T1^14*T2^8 + 
      212*T1^15*T2^8 + 23*T1^16*T2^8 + 147*T1*T2^9 + 597*T1^2*T2^9 - 
      256*T1^3*T2^9 - 1340*T1^4*T2^9 + 3623*T1^5*T2^9 - 6053*T1^6*T2^9 - 
      3779*T1^7*T2^9 + 10765*T1^8*T2^9 - 10649*T1^9*T2^9 + 673*T1^10*T2^9 + 
      6102*T1^11*T2^9 - 3699*T1^12*T2^9 + 975*T1^13*T2^9 + 641*T1^14*T2^9 - 
      339*T1^15*T2^9 - 105*T1^16*T2^9 - 282*T1^2*T2^10 - 202*T1^3*T2^10 + 
      1150*T1^4*T2^10 - 1334*T1^5*T2^10 - 18*T1^6*T2^10 + 6471*T1^7*T2^10 - 
      7149*T1^8*T2^10 + 673*T1^9*T2^10 + 5895*T1^10*T2^10 - 
      6791*T1^11*T2^10 + 756*T1^12*T2^10 + 1288*T1^13*T2^10 - 
      1138*T1^14*T2^10 + 194*T1^15*T2^10 + 270*T1^16*T2^10 + 330*T1^3*T2^11 - 
      595*T1^4*T2^11 - 125*T1^5*T2^11 + 1466*T1^6*T2^11 - 3133*T1^7*T2^11 - 
      3*T1^8*T2^11 + 6102*T1^9*T2^11 - 6791*T1^10*T2^11 + 3693*T1^11*T2^11 + 
      1925*T1^12*T2^11 - 1601*T1^13*T2^11 + 256*T1^14*T2^11 + 
      467*T1^15*T2^11 - 470*T1^16*T2^11 - 199*T1^4*T2^12 + 845*T1^5*T2^12 - 
      1098*T1^6*T2^12 + 496*T1^7*T2^12 + 1910*T1^8*T2^12 - 3699*T1^9*T2^12 + 
      756*T1^10*T2^12 + 1925*T1^11*T2^12 - 3490*T1^12*T2^12 + 
      576*T1^13*T2^12 + 1070*T1^14*T2^12 - 1099*T1^15*T2^12 + 
      553*T1^16*T2^12 + 10*T1^5*T2^13 - 418*T1^6*T2^13 + 1032*T1^7*T2^13 - 
      1559*T1^8*T2^13 + 975*T1^9*T2^13 + 1288*T1^10*T2^13 - 
      1601*T1^11*T2^13 + 576*T1^12*T2^13 + 1897*T1^13*T2^13 - 
      2211*T1^14*T2^13 + 1328*T1^15*T2^13 - 470*T1^16*T2^13 + 86*T1^6*T2^14 - 
      87*T1^7*T2^14 - 118*T1^8*T2^14 + 641*T1^9*T2^14 - 1138*T1^10*T2^14 + 
      256*T1^11*T2^14 + 1070*T1^12*T2^14 - 2211*T1^13*T2^14 + 
      1814*T1^14*T2^14 - 915*T1^15*T2^14 + 270*T1^16*T2^14 - 69*T1^7*T2^15 + 
      212*T1^8*T2^15 - 339*T1^9*T2^15 + 194*T1^10*T2^15 + 467*T1^11*T2^15 - 
      1099*T1^12*T2^15 + 1328*T1^13*T2^15 - 915*T1^14*T2^15 + 
      410*T1^15*T2^15 - 105*T1^16*T2^15 + 23*T1^8*T2^16 - 105*T1^9*T2^16 + 
      270*T1^10*T2^16 - 470*T1^11*T2^16 + 553*T1^12*T2^16 - 470*T1^13*T2^16 + 
      270*T1^14*T2^16 - 105*T1^15*T2^16 + 23*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1262] -> 
  {-(((1 - T + T^2)*(-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/
     T^4), -((-25 + 100*T1 - 225*T1^2 + 363*T1^3 - 413*T1^4 + 363*T1^5 - 
      225*T1^6 + 100*T1^7 - 25*T1^8 + 100*T2 - 332*T1*T2 + 628*T1^2*T2 - 
      840*T1^3*T2 + 664*T1^4*T2 - 328*T1^5*T2 - 88*T1^6*T2 + 212*T1^7*T2 - 
      172*T1^8*T2 + 68*T1^9*T2 - 225*T2^2 + 628*T1*T2^2 - 1026*T1^2*T2^2 + 
      1183*T1^3*T2^2 - 590*T1^4*T2^2 + 82*T1^5*T2^2 + 490*T1^6*T2^2 - 
      329*T1^7*T2^2 + 126*T1^8*T2^2 + 52*T1^9*T2^2 - 81*T1^10*T2^2 + 
      363*T2^3 - 840*T1*T2^3 + 1183*T1^2*T2^3 - 1184*T1^3*T2^3 + 
      183*T1^4*T2^3 + 122*T1^5*T2^3 - 628*T1^6*T2^3 - 183*T1^7*T2^3 + 
      466*T1^8*T2^3 - 509*T1^9*T2^3 + 264*T1^10*T2^3 + 15*T1^11*T2^3 - 
      413*T2^4 + 664*T1*T2^4 - 590*T1^2*T2^4 + 183*T1^3*T2^4 + 
      1153*T1^4*T2^4 - 832*T1^5*T2^4 + 1003*T1^6*T2^4 + 584*T1^7*T2^4 - 
      407*T1^8*T2^4 - 49*T1^9*T2^4 + 450*T1^10*T2^4 - 520*T1^11*T2^4 + 
      115*T1^12*T2^4 + 363*T2^5 - 328*T1*T2^5 + 82*T1^2*T2^5 + 
      122*T1^3*T2^5 - 832*T1^4*T2^5 - 668*T1^5*T2^5 + 663*T1^6*T2^5 - 
      2017*T1^7*T2^5 + 384*T1^8*T2^5 + 578*T1^9*T2^5 - 504*T1^10*T2^5 + 
      154*T1^11*T2^5 + 408*T1^12*T2^5 - 217*T1^13*T2^5 - 225*T2^6 - 
      88*T1*T2^6 + 490*T1^2*T2^6 - 628*T1^3*T2^6 + 1003*T1^4*T2^6 + 
      663*T1^5*T2^6 - 28*T1^6*T2^6 + 448*T1^7*T2^6 + 1760*T1^8*T2^6 - 
      1781*T1^9*T2^6 + 227*T1^10*T2^6 + 308*T1^11*T2^6 - 670*T1^12*T2^6 + 
      40*T1^13*T2^6 + 207*T1^14*T2^6 + 100*T2^7 + 212*T1*T2^7 - 
      329*T1^2*T2^7 - 183*T1^3*T2^7 + 584*T1^4*T2^7 - 2017*T1^5*T2^7 + 
      448*T1^6*T2^7 + 689*T1^7*T2^7 - 2643*T1^8*T2^7 + 1525*T1^9*T2^7 + 
      1135*T1^10*T2^7 - 850*T1^11*T2^7 + 719*T1^12*T2^7 + 283*T1^13*T2^7 - 
      332*T1^14*T2^7 - 124*T1^15*T2^7 - 25*T2^8 - 172*T1*T2^8 + 
      126*T1^2*T2^8 + 466*T1^3*T2^8 - 407*T1^4*T2^8 + 384*T1^5*T2^8 + 
      1760*T1^6*T2^8 - 2643*T1^7*T2^8 + 1464*T1^8*T2^8 + 1259*T1^9*T2^8 - 
      3946*T1^10*T2^8 + 1456*T1^11*T2^8 - 615*T1^12*T2^8 - 554*T1^13*T2^8 + 
      222*T1^14*T2^8 + 340*T1^15*T2^8 + 39*T1^16*T2^8 + 68*T1*T2^9 + 
      52*T1^2*T2^9 - 509*T1^3*T2^9 - 49*T1^4*T2^9 + 578*T1^5*T2^9 - 
      1781*T1^6*T2^9 + 1525*T1^7*T2^9 + 1259*T1^8*T2^9 - 2073*T1^9*T2^9 + 
      2602*T1^10*T2^9 + 1371*T1^11*T2^9 - 856*T1^12*T2^9 + 853*T1^13*T2^9 + 
      103*T1^14*T2^9 - 492*T1^15*T2^9 - 156*T1^16*T2^9 - 81*T1^2*T2^10 + 
      264*T1^3*T2^10 + 450*T1^4*T2^10 - 504*T1^5*T2^10 + 227*T1^6*T2^10 + 
      1135*T1^7*T2^10 - 3946*T1^8*T2^10 + 2602*T1^9*T2^10 - 
      2158*T1^10*T2^10 - 1309*T1^11*T2^10 - 549*T1^12*T2^10 + 
      432*T1^13*T2^10 - 710*T1^14*T2^10 + 392*T1^15*T2^10 + 351*T1^16*T2^10 + 
      15*T1^3*T2^11 - 520*T1^4*T2^11 + 154*T1^5*T2^11 + 308*T1^6*T2^11 - 
      850*T1^7*T2^11 + 1456*T1^8*T2^11 + 1371*T1^9*T2^11 - 1309*T1^10*T2^11 + 
      2508*T1^11*T2^11 + 560*T1^12*T2^11 - 318*T1^13*T2^11 + 
      226*T1^14*T2^11 + 216*T1^15*T2^11 - 565*T1^16*T2^11 + 115*T1^4*T2^12 + 
      408*T1^5*T2^12 - 670*T1^6*T2^12 + 719*T1^7*T2^12 - 615*T1^8*T2^12 - 
      856*T1^9*T2^12 - 549*T1^10*T2^12 + 560*T1^11*T2^12 - 2175*T1^12*T2^12 + 
      487*T1^13*T2^12 + 370*T1^14*T2^12 - 776*T1^15*T2^12 + 643*T1^16*T2^12 - 
      217*T1^5*T2^13 + 40*T1^6*T2^13 + 283*T1^7*T2^13 - 554*T1^8*T2^13 + 
      853*T1^9*T2^13 + 432*T1^10*T2^13 - 318*T1^11*T2^13 + 487*T1^12*T2^13 + 
      1096*T1^13*T2^13 - 1409*T1^14*T2^13 + 1144*T1^15*T2^13 - 
      565*T1^16*T2^13 + 207*T1^6*T2^14 - 332*T1^7*T2^14 + 222*T1^8*T2^14 + 
      103*T1^9*T2^14 - 710*T1^10*T2^14 + 226*T1^11*T2^14 + 370*T1^12*T2^14 - 
      1409*T1^13*T2^14 + 1374*T1^14*T2^14 - 908*T1^15*T2^14 + 
      351*T1^16*T2^14 - 124*T1^7*T2^15 + 340*T1^8*T2^15 - 492*T1^9*T2^15 + 
      392*T1^10*T2^15 + 216*T1^11*T2^15 - 776*T1^12*T2^15 + 
      1144*T1^13*T2^15 - 908*T1^14*T2^15 + 500*T1^15*T2^15 - 
      156*T1^16*T2^15 + 39*T1^8*T2^16 - 156*T1^9*T2^16 + 351*T1^10*T2^16 - 
      565*T1^11*T2^16 + 643*T1^12*T2^16 - 565*T1^13*T2^16 + 351*T1^14*T2^16 - 
      156*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1263] -> 
  {(4 - 21*T + 49*T^2 - 63*T^3 + 49*T^4 - 21*T^5 + 4*T^6)/T^3, 
   (-128 + 680*T1 - 1604*T1^2 + 2072*T1^3 - 1604*T1^4 + 680*T1^5 - 128*T1^6 + 
     680*T2 - 3264*T1*T2 + 6661*T1^2*T2 - 6593*T1^3*T2 + 2815*T1^4*T2 + 
     781*T1^5*T2 - 1164*T1^6*T2 + 344*T1^7*T2 - 1604*T2^2 + 6661*T1*T2^2 - 
     10275*T1^2*T2^2 + 2921*T1^3*T2^2 + 9145*T1^4*T2^2 - 13543*T1^5*T2^2 + 
     7365*T1^6*T2^2 - 1571*T1^7*T2^2 - 36*T1^8*T2^2 + 2072*T2^3 - 
     6593*T1*T2^3 + 2921*T1^2*T2^3 + 18923*T1^3*T2^3 - 35592*T1^4*T2^3 + 
     26736*T1^5*T2^3 - 2455*T1^6*T2^3 - 8398*T1^7*T2^3 + 5167*T1^8*T2^3 - 
     952*T1^9*T2^3 - 1604*T2^4 + 2815*T1*T2^4 + 9145*T1^2*T2^4 - 
     35592*T1^3*T2^4 + 35671*T1^4*T2^4 + 3587*T1^5*T2^4 - 40181*T1^6*T2^4 + 
     34086*T1^7*T2^4 - 8005*T1^8*T2^4 - 3065*T1^9*T2^4 + 1532*T1^10*T2^4 + 
     680*T2^5 + 781*T1*T2^5 - 13543*T1^2*T2^5 + 26736*T1^3*T2^5 + 
     3587*T1^4*T2^5 - 63540*T1^5*T2^5 + 76614*T1^6*T2^5 - 26254*T1^7*T2^5 - 
     20892*T1^8*T2^5 + 18356*T1^9*T2^5 - 2747*T1^10*T2^5 - 1000*T1^11*T2^5 - 
     128*T2^6 - 1164*T1*T2^6 + 7365*T1^2*T2^6 - 2455*T1^3*T2^6 - 
     40181*T1^4*T2^6 + 76614*T1^5*T2^6 - 31236*T1^6*T2^6 - 47706*T1^7*T2^6 + 
     69481*T1^8*T2^6 - 22909*T1^9*T2^6 - 5767*T1^10*T2^6 + 3876*T1^11*T2^6 + 
     256*T1^12*T2^6 + 344*T1*T2^7 - 1571*T1^2*T2^7 - 8398*T1^3*T2^7 + 
     34086*T1^4*T2^7 - 26254*T1^5*T2^7 - 47706*T1^6*T2^7 + 92448*T1^7*T2^7 - 
     56095*T1^8*T2^7 - 13542*T1^9*T2^7 + 23501*T1^10*T2^7 - 5099*T1^11*T2^7 - 
     1336*T1^12*T2^7 - 36*T1^2*T2^8 + 5167*T1^3*T2^8 - 8005*T1^4*T2^8 - 
     20892*T1^5*T2^8 + 69481*T1^6*T2^8 - 56095*T1^7*T2^8 - 6371*T1^8*T2^8 + 
     48786*T1^9*T2^8 - 25155*T1^10*T2^8 - 713*T1^11*T2^8 + 3100*T1^12*T2^8 - 
     952*T1^3*T2^9 - 3065*T1^4*T2^9 + 18356*T1^5*T2^9 - 22909*T1^6*T2^9 - 
     13542*T1^7*T2^9 + 48786*T1^8*T2^9 - 44287*T1^9*T2^9 + 7037*T1^10*T2^9 + 
     8695*T1^11*T2^9 - 3976*T1^12*T2^9 + 1532*T1^4*T2^10 - 2747*T1^5*T2^10 - 
     5767*T1^6*T2^10 + 23501*T1^7*T2^10 - 25155*T1^8*T2^10 + 
     7037*T1^9*T2^10 + 11873*T1^10*T2^10 - 10979*T1^11*T2^10 + 
     3100*T1^12*T2^10 - 1000*T1^5*T2^11 + 3876*T1^6*T2^11 - 5099*T1^7*T2^11 - 
     713*T1^8*T2^11 + 8695*T1^9*T2^11 - 10979*T1^10*T2^11 + 
     5976*T1^11*T2^11 - 1336*T1^12*T2^11 + 256*T1^6*T2^12 - 1336*T1^7*T2^12 + 
     3100*T1^8*T2^12 - 3976*T1^9*T2^12 + 3100*T1^10*T2^12 - 
     1336*T1^11*T2^12 + 256*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1264] -> 
  {-((2 - 8*T + 17*T^2 - 24*T^3 + 25*T^4 - 24*T^5 + 17*T^6 - 8*T^7 + 2*T^8)/
     T^4), -((-39 + 156*T1 - 331*T1^2 + 466*T1^3 - 485*T1^4 + 466*T1^5 - 
      331*T1^6 + 156*T1^7 - 39*T1^8 + 156*T2 - 500*T1*T2 + 828*T1^2*T2 - 
      812*T1^3*T2 + 460*T1^4*T2 - 324*T1^5*T2 - 156*T1^6*T2 + 428*T1^7*T2 - 
      340*T1^8*T2 + 124*T1^9*T2 - 331*T2^2 + 828*T1*T2^2 - 1016*T1^2*T2^2 + 
      501*T1^3*T2^2 + 215*T1^4*T2^2 + 30*T1^5*T2^2 + 759*T1^6*T2^2 - 
      587*T1^7*T2^2 + 4*T1^8*T2^2 + 284*T1^9*T2^2 - 195*T1^10*T2^2 + 
      466*T2^3 - 812*T1*T2^3 + 501*T1^2*T2^3 + 514*T1^3*T2^3 - 
      1013*T1^4*T2^3 - 194*T1^5*T2^3 - 954*T1^6*T2^3 - 189*T1^7*T2^3 + 
      858*T1^8*T2^3 - 587*T1^9*T2^3 + 68*T1^10*T2^3 + 178*T1^11*T2^3 - 
      485*T2^4 + 460*T1*T2^4 + 215*T1^2*T2^4 - 1013*T1^3*T2^4 + 
      485*T1^4*T2^4 + 1502*T1^5*T2^4 + 463*T1^6*T2^4 + 1374*T1^7*T2^4 - 
      1059*T1^8*T2^4 - 53*T1^9*T2^4 + 543*T1^10*T2^4 - 372*T1^11*T2^4 - 
      85*T1^12*T2^4 + 466*T2^5 - 324*T1*T2^5 + 30*T1^2*T2^5 - 194*T1^3*T2^5 + 
      1502*T1^4*T2^5 - 2942*T1^5*T2^5 - 277*T1^6*T2^5 - 1669*T1^7*T2^5 + 
      226*T1^8*T2^5 + 902*T1^9*T2^5 - 554*T1^10*T2^5 - 66*T1^11*T2^5 + 
      396*T1^12*T2^5 - 14*T1^13*T2^5 - 331*T2^6 - 156*T1*T2^6 + 
      759*T1^2*T2^6 - 954*T1^3*T2^6 + 463*T1^4*T2^6 - 277*T1^5*T2^6 + 
      3457*T1^6*T2^6 - 357*T1^7*T2^6 + 1029*T1^8*T2^6 - 1109*T1^9*T2^6 - 
      119*T1^10*T2^6 + 406*T1^11*T2^6 - 217*T1^12*T2^6 - 252*T1^13*T2^6 + 
      77*T1^14*T2^6 + 156*T2^7 + 428*T1*T2^7 - 587*T1^2*T2^7 - 
      189*T1^3*T2^7 + 1374*T1^4*T2^7 - 1669*T1^5*T2^7 - 357*T1^6*T2^7 - 
      3078*T1^7*T2^7 + 1826*T1^8*T2^7 - 373*T1^9*T2^7 + 843*T1^10*T2^7 + 
      86*T1^11*T2^7 - 469*T1^12*T2^7 + 501*T1^13*T2^7 - 36*T1^14*T2^7 - 
      68*T1^15*T2^7 - 39*T2^8 - 340*T1*T2^8 + 4*T1^2*T2^8 + 858*T1^3*T2^8 - 
      1059*T1^4*T2^8 + 226*T1^5*T2^8 + 1029*T1^6*T2^8 + 1826*T1^7*T2^8 + 
      120*T1^8*T2^8 - 1950*T1^9*T2^8 + 513*T1^10*T2^8 - 1406*T1^11*T2^8 + 
      961*T1^12*T2^8 - 326*T1^13*T2^8 - 212*T1^14*T2^8 + 172*T1^15*T2^8 + 
      25*T1^16*T2^8 + 124*T1*T2^9 + 284*T1^2*T2^9 - 587*T1^3*T2^9 - 
      53*T1^4*T2^9 + 902*T1^5*T2^9 - 1109*T1^6*T2^9 - 373*T1^7*T2^9 - 
      1950*T1^8*T2^9 + 2954*T1^9*T2^9 - 389*T1^10*T2^9 + 1403*T1^11*T2^9 - 
      386*T1^12*T2^9 - 333*T1^13*T2^9 + 501*T1^14*T2^9 - 180*T1^15*T2^9 - 
      100*T1^16*T2^9 - 195*T1^2*T2^10 + 68*T1^3*T2^10 + 543*T1^4*T2^10 - 
      554*T1^5*T2^10 - 119*T1^6*T2^10 + 843*T1^7*T2^10 + 513*T1^8*T2^10 - 
      389*T1^9*T2^10 - 1915*T1^10*T2^10 + 11*T1^11*T2^10 - 701*T1^12*T2^10 + 
      806*T1^13*T2^10 - 433*T1^14*T2^10 - 28*T1^15*T2^10 + 213*T1^16*T2^10 + 
      178*T1^3*T2^11 - 372*T1^4*T2^11 - 66*T1^5*T2^11 + 406*T1^6*T2^11 + 
      86*T1^7*T2^11 - 1406*T1^8*T2^11 + 1403*T1^9*T2^11 + 11*T1^10*T2^11 + 
      1762*T1^11*T2^11 - 514*T1^12*T2^11 + 46*T1^13*T2^11 - 162*T1^14*T2^11 + 
      348*T1^15*T2^11 - 302*T1^16*T2^11 - 85*T1^4*T2^12 + 396*T1^5*T2^12 - 
      217*T1^6*T2^12 - 469*T1^7*T2^12 + 961*T1^8*T2^12 - 386*T1^9*T2^12 - 
      701*T1^10*T2^12 - 514*T1^11*T2^12 - 583*T1^12*T2^12 + 491*T1^13*T2^12 + 
      111*T1^14*T2^12 - 436*T1^15*T2^12 + 315*T1^16*T2^12 - 14*T1^5*T2^13 - 
      252*T1^6*T2^13 + 501*T1^7*T2^13 - 326*T1^8*T2^13 - 333*T1^9*T2^13 + 
      806*T1^10*T2^13 + 46*T1^11*T2^13 + 491*T1^12*T2^13 + 18*T1^13*T2^13 - 
      587*T1^14*T2^13 + 628*T1^15*T2^13 - 302*T1^16*T2^13 + 77*T1^6*T2^14 - 
      36*T1^7*T2^14 - 212*T1^8*T2^14 + 501*T1^9*T2^14 - 433*T1^10*T2^14 - 
      162*T1^11*T2^14 + 111*T1^12*T2^14 - 587*T1^13*T2^14 + 808*T1^14*T2^14 - 
      580*T1^15*T2^14 + 213*T1^16*T2^14 - 68*T1^7*T2^15 + 172*T1^8*T2^15 - 
      180*T1^9*T2^15 - 28*T1^10*T2^15 + 348*T1^11*T2^15 - 436*T1^12*T2^15 + 
      628*T1^13*T2^15 - 580*T1^14*T2^15 + 332*T1^15*T2^15 - 100*T1^16*T2^15 + 
      25*T1^8*T2^16 - 100*T1^9*T2^16 + 213*T1^10*T2^16 - 302*T1^11*T2^16 + 
      315*T1^12*T2^16 - 302*T1^13*T2^16 + 213*T1^14*T2^16 - 100*T1^15*T2^16 + 
      25*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1265] -> 
  {-((4 - 17*T + 37*T^2 - 49*T^3 + 37*T^4 - 17*T^5 + 4*T^6)/T^3), 
   -((-192 + 816*T1 - 1772*T1^2 + 2344*T1^3 - 1772*T1^4 + 816*T1^5 - 
      192*T1^6 + 816*T2 - 2924*T1*T2 + 5219*T1^2*T2 - 4947*T1^3*T2 + 
      901*T1^4*T2 + 1547*T1^5*T2 - 1496*T1^6*T2 + 544*T1^7*T2 - 1772*T2^2 + 
      5219*T1*T2^2 - 7120*T1^2*T2^2 + 2808*T1^3*T2^2 + 6452*T1^4*T2^2 - 
      6664*T1^5*T2^2 + 2648*T1^6*T2^2 + 187*T1^7*T2^2 - 588*T1^8*T2^2 + 
      2344*T2^3 - 4947*T1*T2^3 + 2808*T1^2*T2^3 + 7081*T1^3*T2^3 - 
      16580*T1^4*T2^3 + 5762*T1^5*T2^3 + 4279*T1^6*T2^3 - 5739*T1^7*T2^3 + 
      2533*T1^8*T2^3 - 8*T1^9*T2^3 - 1772*T2^4 + 901*T1*T2^4 + 
      6452*T1^2*T2^4 - 16580*T1^3*T2^4 + 15046*T1^4*T2^4 + 10450*T1^5*T2^4 - 
      18730*T1^6*T2^4 + 9390*T1^7*T2^4 + 34*T1^8*T2^4 - 2499*T1^9*T2^4 + 
      596*T1^10*T2^4 + 816*T2^5 + 1547*T1*T2^5 - 6664*T1^2*T2^5 + 
      5762*T1^3*T2^5 + 10450*T1^4*T2^5 - 35476*T1^5*T2^5 + 25684*T1^6*T2^5 - 
      21*T1^7*T2^5 - 9324*T1^8*T2^5 + 5583*T1^9*T2^5 - 221*T1^10*T2^5 - 
      544*T1^11*T2^5 - 192*T2^6 - 1496*T1*T2^6 + 2648*T1^2*T2^6 + 
      4279*T1^3*T2^6 - 18730*T1^4*T2^6 + 25684*T1^5*T2^6 - 432*T1^6*T2^6 - 
      25416*T1^7*T2^6 + 18532*T1^8*T2^6 - 4199*T1^9*T2^6 - 2500*T1^10*T2^6 + 
      1496*T1^11*T2^6 + 192*T1^12*T2^6 + 544*T1*T2^7 + 187*T1^2*T2^7 - 
      5739*T1^3*T2^7 + 9390*T1^4*T2^7 - 21*T1^5*T2^7 - 25416*T1^6*T2^7 + 
      35744*T1^7*T2^7 - 10492*T1^8*T2^7 - 5696*T1^9*T2^7 + 6508*T1^10*T2^7 - 
      1581*T1^11*T2^7 - 816*T1^12*T2^7 - 588*T1^2*T2^8 + 2533*T1^3*T2^8 + 
      34*T1^4*T2^8 - 9324*T1^5*T2^8 + 18532*T1^6*T2^8 - 10492*T1^7*T2^8 - 
      15244*T1^8*T2^8 + 16646*T1^9*T2^8 - 6384*T1^10*T2^8 - 867*T1^11*T2^8 + 
      1780*T1^12*T2^8 - 8*T1^3*T2^9 - 2499*T1^4*T2^9 + 5583*T1^5*T2^9 - 
      4199*T1^6*T2^9 - 5696*T1^7*T2^9 + 16646*T1^8*T2^9 - 7001*T1^9*T2^9 - 
      2964*T1^10*T2^9 + 4981*T1^11*T2^9 - 2360*T1^12*T2^9 + 596*T1^4*T2^10 - 
      221*T1^5*T2^10 - 2500*T1^6*T2^10 + 6508*T1^7*T2^10 - 6384*T1^8*T2^10 - 
      2964*T1^9*T2^10 + 7268*T1^10*T2^10 - 5253*T1^11*T2^10 + 
      1780*T1^12*T2^10 - 544*T1^5*T2^11 + 1496*T1^6*T2^11 - 1581*T1^7*T2^11 - 
      867*T1^8*T2^11 + 4981*T1^9*T2^11 - 5253*T1^10*T2^11 + 
      2924*T1^11*T2^11 - 816*T1^12*T2^11 + 192*T1^6*T2^12 - 816*T1^7*T2^12 + 
      1780*T1^8*T2^12 - 2360*T1^9*T2^12 + 1780*T1^10*T2^12 - 
      816*T1^11*T2^12 + 192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1266] -> 
  {-(((1 - T + T^2)*(4 - 11*T + 13*T^2 - 11*T^3 + 4*T^4))/T^3), 
   -((-320 + 1184*T1 - 2192*T1^2 + 2736*T1^3 - 2192*T1^4 + 1184*T1^5 - 
      320*T1^6 + 1184*T2 - 3438*T1*T2 + 4636*T1^2*T2 - 3694*T1^3*T2 + 
      86*T1^4*T2 + 2056*T1^5*T2 - 2298*T1^6*T2 + 944*T1^7*T2 - 2192*T2^2 + 
      4636*T1*T2^2 - 3385*T1^2*T2^2 - 578*T1^3*T2^2 + 6257*T1^4*T2^2 - 
      5058*T1^5*T2^2 + 1991*T1^6*T2^2 + 1276*T1^7*T2^2 - 1296*T1^8*T2^2 + 
      2736*T2^3 - 3694*T1*T2^3 - 578*T1^2*T2^3 + 4876*T1^3*T2^3 - 
      7957*T1^4*T2^3 + 443*T1^5*T2^3 + 3196*T1^6*T2^3 - 4358*T1^7*T2^3 + 
      926*T1^8*T2^3 + 1056*T1^9*T2^3 - 2192*T2^4 + 86*T1*T2^4 + 
      6257*T1^2*T2^4 - 7957*T1^3*T2^4 + 6163*T1^4*T2^4 + 4791*T1^5*T2^4 - 
      4085*T1^6*T2^4 + 1563*T1^7*T2^4 + 3051*T1^8*T2^4 - 2434*T1^9*T2^4 - 
      400*T1^10*T2^4 + 1184*T2^5 + 2056*T1*T2^5 - 5058*T1^2*T2^5 + 
      443*T1^3*T2^5 + 4791*T1^4*T2^5 - 11262*T1^5*T2^5 + 1998*T1^6*T2^5 + 
      3391*T1^7*T2^5 - 5717*T1^8*T2^5 + 1522*T1^9*T2^5 + 1516*T1^10*T2^5 - 
      16*T1^11*T2^5 - 320*T2^6 - 2298*T1*T2^6 + 1991*T1^2*T2^6 + 
      3196*T1^3*T2^6 - 4085*T1^4*T2^6 + 1998*T1^5*T2^6 + 9132*T1^6*T2^6 - 
      9202*T1^7*T2^6 + 4735*T1^8*T2^6 + 1516*T1^9*T2^6 - 2549*T1^10*T2^6 - 
      138*T1^11*T2^6 + 64*T1^12*T2^6 + 944*T1*T2^7 + 1276*T1^2*T2^7 - 
      4358*T1^3*T2^7 + 1563*T1^4*T2^7 + 3391*T1^5*T2^7 - 9202*T1^6*T2^7 + 
      4058*T1^7*T2^7 + 1991*T1^8*T2^7 - 4597*T1^9*T2^7 + 2222*T1^10*T2^7 + 
      736*T1^11*T2^7 - 256*T1^12*T2^7 - 1296*T1^2*T2^8 + 926*T1^3*T2^8 + 
      3051*T1^4*T2^8 - 5717*T1^5*T2^8 + 4735*T1^6*T2^8 + 1991*T1^7*T2^8 - 
      5513*T1^8*T2^8 + 3803*T1^9*T2^8 - 155*T1^10*T2^8 - 1594*T1^11*T2^8 + 
      496*T1^12*T2^8 + 1056*T1^3*T2^9 - 2434*T1^4*T2^9 + 1522*T1^5*T2^9 + 
      1516*T1^6*T2^9 - 4597*T1^7*T2^9 + 3803*T1^8*T2^9 - 164*T1^9*T2^9 - 
      2258*T1^10*T2^9 + 2186*T1^11*T2^9 - 624*T1^12*T2^9 - 400*T1^4*T2^10 + 
      1516*T1^5*T2^10 - 2549*T1^6*T2^10 + 2222*T1^7*T2^10 - 155*T1^8*T2^10 - 
      2258*T1^9*T2^10 + 2827*T1^10*T2^10 - 1844*T1^11*T2^10 + 
      496*T1^12*T2^10 - 16*T1^5*T2^11 - 138*T1^6*T2^11 + 736*T1^7*T2^11 - 
      1594*T1^8*T2^11 + 2186*T1^9*T2^11 - 1844*T1^10*T2^11 + 
      1002*T1^11*T2^11 - 256*T1^12*T2^11 + 64*T1^6*T2^12 - 256*T1^7*T2^12 + 
      496*T1^8*T2^12 - 624*T1^9*T2^12 + 496*T1^10*T2^12 - 256*T1^11*T2^12 + 
      64*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1267] -> 
  {-((4 - 16*T + 32*T^2 - 41*T^3 + 32*T^4 - 16*T^5 + 4*T^6)/T^3), 
   (-4*(4 - 16*T1 + 32*T1^2 - 41*T1^3 + 32*T1^4 - 16*T1^5 + 4*T1^6)*
     (1 + T1*T2)*(1 - T1*T2 + T1^2*T2^2)*(3 - 5*T1*T2 + 3*T1^2*T2^2)*
     (4 - 16*T2 + 32*T2^2 - 41*T2^3 + 32*T2^4 - 16*T2^5 + 4*T2^6))/
    (T1^7*T2^6)}, Knot[12, Alternating, 1268] -> 
  {(2 - 10*T + 26*T^2 - 45*T^3 + 55*T^4 - 45*T^5 + 26*T^6 - 10*T^7 + 2*T^8)/
    T^4, (-31 + 156*T1 - 407*T1^2 + 705*T1^3 - 861*T1^4 + 705*T1^5 - 
     407*T1^6 + 156*T1^7 - 31*T1^8 + 156*T2 - 668*T1*T2 + 1461*T1^2*T2 - 
     2018*T1^3*T2 + 1685*T1^4*T2 - 315*T1^5*T2 - 598*T1^6*T2 + 741*T1^7*T2 - 
     428*T1^8*T2 + 116*T1^9*T2 - 407*T2^2 + 1461*T1*T2^2 - 2597*T1^2*T2^2 + 
     2566*T1^3*T2^2 - 568*T1^4*T2^2 - 2527*T1^5*T2^2 + 2448*T1^6*T2^2 - 
     1074*T1^7*T2^2 - 101*T1^8*T2^2 + 421*T1^9*T2^2 - 199*T1^10*T2^2 + 
     705*T2^3 - 2018*T1*T2^3 + 2566*T1^2*T2^3 - 790*T1^3*T2^3 - 
     2989*T1^4*T2^3 + 5764*T1^5*T2^3 - 1066*T1^6*T2^3 - 2079*T1^7*T2^3 + 
     2540*T1^8*T2^3 - 1334*T1^9*T2^3 + 162*T1^10*T2^3 + 165*T1^11*T2^3 - 
     861*T2^4 + 1685*T1*T2^4 - 568*T1^2*T2^4 - 2989*T1^3*T2^4 + 
     6251*T1^4*T2^4 - 4842*T1^5*T2^4 - 5597*T1^6*T2^4 + 5858*T1^7*T2^4 - 
     1929*T1^8*T2^4 - 1189*T1^9*T2^4 + 1872*T1^10*T2^4 - 915*T1^11*T2^4 + 
     19*T1^12*T2^4 + 705*T2^5 - 315*T1*T2^5 - 2527*T1^2*T2^5 + 
     5764*T1^3*T2^5 - 4842*T1^4*T2^5 - 2284*T1^5*T2^5 + 12848*T1^6*T2^5 - 
     3202*T1^7*T2^5 - 5314*T1^8*T2^5 + 5838*T1^9*T2^5 - 2846*T1^10*T2^5 - 
     67*T1^11*T2^5 + 885*T1^12*T2^5 - 195*T1^13*T2^5 - 407*T2^6 - 
     598*T1*T2^6 + 2448*T1^2*T2^6 - 1066*T1^3*T2^6 - 5597*T1^4*T2^6 + 
     12848*T1^5*T2^6 - 12595*T1^6*T2^6 - 8619*T1^7*T2^6 + 14833*T1^8*T2^6 - 
     5892*T1^9*T2^6 - 797*T1^10*T2^6 + 3094*T1^11*T2^6 - 1720*T1^12*T2^6 - 
     118*T1^13*T2^6 + 217*T1^14*T2^6 + 156*T2^7 + 741*T1*T2^7 - 
     1074*T1^2*T2^7 - 2079*T1^3*T2^7 + 5858*T1^4*T2^7 - 3202*T1^5*T2^7 - 
     8619*T1^6*T2^7 + 26227*T1^7*T2^7 - 17183*T1^8*T2^7 - 3584*T1^9*T2^7 + 
     7468*T1^10*T2^7 - 4902*T1^11*T2^7 + 571*T1^12*T2^7 + 1266*T1^13*T2^7 - 
     459*T1^14*T2^7 - 124*T1^15*T2^7 - 31*T2^8 - 428*T1*T2^8 - 
     101*T1^2*T2^8 + 2540*T1^3*T2^8 - 1929*T1^4*T2^8 - 5314*T1^5*T2^8 + 
     14833*T1^6*T2^8 - 17183*T1^7*T2^8 - 1836*T1^8*T2^8 + 19707*T1^9*T2^8 - 
     9773*T1^10*T2^8 + 1766*T1^11*T2^8 + 2635*T1^12*T2^8 - 2240*T1^13*T2^8 + 
     139*T1^14*T2^8 + 452*T1^15*T2^8 + 33*T1^16*T2^8 + 116*T1*T2^9 + 
     421*T1^2*T2^9 - 1334*T1^3*T2^9 - 1189*T1^4*T2^9 + 5838*T1^5*T2^9 - 
     5892*T1^6*T2^9 - 3584*T1^7*T2^9 + 19707*T1^8*T2^9 - 23703*T1^9*T2^9 + 
     1451*T1^10*T2^9 + 4778*T1^11*T2^9 - 4922*T1^12*T2^9 + 1461*T1^13*T2^9 + 
     1006*T1^14*T2^9 - 779*T1^15*T2^9 - 164*T1^16*T2^9 - 199*T1^2*T2^10 + 
     162*T1^3*T2^10 + 1872*T1^4*T2^10 - 2846*T1^5*T2^10 - 797*T1^6*T2^10 + 
     7468*T1^7*T2^10 - 9773*T1^8*T2^10 + 1451*T1^9*T2^10 + 
     17655*T1^10*T2^10 - 11272*T1^11*T2^10 + 4003*T1^12*T2^10 + 
     1314*T1^13*T2^10 - 2296*T1^14*T2^10 + 642*T1^15*T2^10 + 
     425*T1^16*T2^10 + 165*T1^3*T2^11 - 915*T1^4*T2^11 - 67*T1^5*T2^11 + 
     3094*T1^6*T2^11 - 4902*T1^7*T2^11 + 1766*T1^8*T2^11 + 4778*T1^9*T2^11 - 
     11272*T1^10*T2^11 - 1264*T1^11*T2^11 + 5778*T1^12*T2^11 - 
     5516*T1^13*T2^11 + 2393*T1^14*T2^11 + 285*T1^15*T2^11 - 
     735*T1^16*T2^11 + 19*T1^4*T2^12 + 885*T1^5*T2^12 - 1720*T1^6*T2^12 + 
     571*T1^7*T2^12 + 2635*T1^8*T2^12 - 4922*T1^9*T2^12 + 4003*T1^10*T2^12 + 
     5778*T1^11*T2^12 - 5545*T1^12*T2^12 + 2371*T1^13*T2^12 + 
     720*T1^14*T2^12 - 1715*T1^15*T2^12 + 899*T1^16*T2^12 - 195*T1^5*T2^13 - 
     118*T1^6*T2^13 + 1266*T1^7*T2^13 - 2240*T1^8*T2^13 + 1461*T1^9*T2^13 + 
     1314*T1^10*T2^13 - 5516*T1^11*T2^13 + 2371*T1^12*T2^13 + 
     1090*T1^13*T2^13 - 2634*T1^14*T2^13 + 2062*T1^15*T2^13 - 
     735*T1^16*T2^13 + 217*T1^6*T2^14 - 459*T1^7*T2^14 + 139*T1^8*T2^14 + 
     1006*T1^9*T2^14 - 2296*T1^10*T2^14 + 2393*T1^11*T2^14 + 
     720*T1^12*T2^14 - 2634*T1^13*T2^14 + 2635*T1^14*T2^14 - 
     1499*T1^15*T2^14 + 425*T1^16*T2^14 - 124*T1^7*T2^15 + 452*T1^8*T2^15 - 
     779*T1^9*T2^15 + 642*T1^10*T2^15 + 285*T1^11*T2^15 - 1715*T1^12*T2^15 + 
     2062*T1^13*T2^15 - 1499*T1^14*T2^15 + 692*T1^15*T2^15 - 
     164*T1^16*T2^15 + 33*T1^8*T2^16 - 164*T1^9*T2^16 + 425*T1^10*T2^16 - 
     735*T1^11*T2^16 + 899*T1^12*T2^16 - 735*T1^13*T2^16 + 425*T1^14*T2^16 - 
     164*T1^15*T2^16 + 33*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1269] -> 
  {-(((-4 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 4*T^3))/T^3), 
   (-2*(-4 + 5*T1 - 3*T1^2 + T1^3)*(-1 + 3*T1 - 5*T1^2 + 4*T1^3)*(1 + T1*T2)*
     (-4 + 5*T2 - 3*T2^2 + T2^3)*(-1 + 3*T2 - 5*T2^2 + 4*T2^3)*
     (6 - 17*T1*T2 + 25*T1^2*T2^2 - 17*T1^3*T2^3 + 6*T1^4*T2^4))/
    (T1^7*T2^6)}, Knot[12, Alternating, 1270] -> 
  {-(((1 - T + T^2)*(2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6))/
     T^4), -((-41 + 225*T1 - 612*T1^2 + 1079*T1^3 - 1281*T1^4 + 1079*T1^5 - 
      612*T1^6 + 225*T1^7 - 41*T1^8 + 225*T2 - 1054*T1*T2 + 2367*T1^2*T2 - 
      3225*T1^3*T2 + 2276*T1^4*T2 - 276*T1^5*T2 - 1399*T1^6*T2 + 
      1465*T1^7*T2 - 768*T1^8*T2 + 181*T1^9*T2 - 612*T2^2 + 2367*T1*T2^2 - 
      4053*T1^2*T2^2 + 3296*T1^3*T2^2 + 1534*T1^4*T2^2 - 5257*T1^5*T2^2 + 
      5494*T1^6*T2^2 - 1744*T1^7*T2^2 - 693*T1^8*T2^2 + 1047*T1^9*T2^2 - 
      372*T1^10*T2^2 + 1079*T2^3 - 3225*T1*T2^3 + 3296*T1^2*T2^3 + 
      1248*T1^3*T2^3 - 9486*T1^4*T2^3 + 9062*T1^5*T2^3 - 2824*T1^6*T2^3 - 
      5628*T1^7*T2^3 + 5208*T1^8*T2^3 - 1954*T1^9*T2^3 - 387*T1^10*T2^3 + 
      443*T1^11*T2^3 - 1281*T2^4 + 2276*T1*T2^4 + 1534*T1^2*T2^4 - 
      9486*T1^3*T2^4 + 15810*T1^4*T2^4 - 4163*T1^5*T2^4 - 7312*T1^6*T2^4 + 
      13147*T1^7*T2^4 - 2418*T1^8*T2^4 - 3550*T1^9*T2^4 + 3828*T1^10*T2^4 - 
      936*T1^11*T2^4 - 273*T1^12*T2^4 + 1079*T2^5 - 276*T1*T2^5 - 
      5257*T1^2*T2^5 + 9062*T1^3*T2^5 - 4163*T1^4*T2^5 - 18505*T1^5*T2^5 + 
      21822*T1^6*T2^5 - 11791*T1^7*T2^5 - 11231*T1^8*T2^5 + 11602*T1^9*T2^5 - 
      4548*T1^10*T2^5 - 1468*T1^11*T2^5 + 1396*T1^12*T2^5 + 19*T1^13*T2^5 - 
      612*T2^6 - 1399*T1*T2^6 + 5494*T1^2*T2^6 - 2824*T1^3*T2^6 - 
      7312*T1^4*T2^6 + 21822*T1^5*T2^6 - 1527*T1^6*T2^6 - 20839*T1^7*T2^6 + 
      35349*T1^8*T2^6 - 13766*T1^9*T2^6 - 2388*T1^10*T2^6 + 6476*T1^11*T2^6 - 
      1798*T1^12*T2^6 - 695*T1^13*T2^6 + 108*T1^14*T2^6 + 225*T2^7 + 
      1465*T1*T2^7 - 1744*T1^2*T2^7 - 5628*T1^3*T2^7 + 13147*T1^4*T2^7 - 
      11791*T1^5*T2^7 - 20839*T1^6*T2^7 + 33355*T1^7*T2^7 - 23707*T1^8*T2^7 - 
      10552*T1^9*T2^7 + 17872*T1^10*T2^7 - 8798*T1^11*T2^7 - 
      1174*T1^12*T2^7 + 2246*T1^13*T2^7 - 141*T1^14*T2^7 - 83*T1^15*T2^7 - 
      41*T2^8 - 768*T1*T2^8 - 693*T1^2*T2^8 + 5208*T1^3*T2^8 - 
      2418*T1^4*T2^8 - 11231*T1^5*T2^8 + 35349*T1^6*T2^8 - 23707*T1^7*T2^8 - 
      5124*T1^8*T2^8 + 30463*T1^9*T2^8 - 18525*T1^10*T2^8 - 685*T1^11*T2^8 + 
      7322*T1^12*T2^8 - 3072*T1^13*T2^8 - 519*T1^14*T2^8 + 332*T1^15*T2^8 + 
      23*T1^16*T2^8 + 181*T1*T2^9 + 1047*T1^2*T2^9 - 1954*T1^3*T2^9 - 
      3550*T1^4*T2^9 + 11602*T1^5*T2^9 - 13766*T1^6*T2^9 - 10552*T1^7*T2^9 + 
      30463*T1^8*T2^9 - 26599*T1^9*T2^9 - 265*T1^10*T2^9 + 15897*T1^11*T2^9 - 
      10343*T1^12*T2^9 + 904*T1^13*T2^9 + 2036*T1^14*T2^9 - 559*T1^15*T2^9 - 
      127*T1^16*T2^9 - 372*T1^2*T2^10 - 387*T1^3*T2^10 + 3828*T1^4*T2^10 - 
      4548*T1^5*T2^10 - 2388*T1^6*T2^10 + 17872*T1^7*T2^10 - 
      18525*T1^8*T2^10 - 265*T1^9*T2^10 + 18351*T1^10*T2^10 - 
      17716*T1^11*T2^10 + 2536*T1^12*T2^10 + 4752*T1^13*T2^10 - 
      3464*T1^14*T2^10 + 317*T1^15*T2^10 + 348*T1^16*T2^10 + 443*T1^3*T2^11 - 
      936*T1^4*T2^11 - 1468*T1^5*T2^11 + 6476*T1^6*T2^11 - 8798*T1^7*T2^11 - 
      685*T1^8*T2^11 + 15897*T1^9*T2^11 - 17716*T1^10*T2^11 + 
      6589*T1^11*T2^11 + 6967*T1^12*T2^11 - 7134*T1^13*T2^11 + 
      2321*T1^14*T2^11 + 736*T1^15*T2^11 - 617*T1^16*T2^11 - 273*T1^4*T2^12 + 
      1396*T1^5*T2^12 - 1798*T1^6*T2^12 - 1174*T1^7*T2^12 + 7322*T1^8*T2^12 - 
      10343*T1^9*T2^12 + 2536*T1^10*T2^12 + 6967*T1^11*T2^12 - 
      10906*T1^12*T2^12 + 4762*T1^13*T2^12 + 496*T1^14*T2^12 - 
      1816*T1^15*T2^12 + 735*T1^16*T2^12 + 19*T1^5*T2^13 - 695*T1^6*T2^13 + 
      2246*T1^7*T2^13 - 3072*T1^8*T2^13 + 904*T1^9*T2^13 + 4752*T1^10*T2^13 - 
      7134*T1^11*T2^13 + 4762*T1^12*T2^13 + 888*T1^13*T2^13 - 
      3004*T1^14*T2^13 + 2143*T1^15*T2^13 - 617*T1^16*T2^13 + 
      108*T1^6*T2^14 - 141*T1^7*T2^14 - 519*T1^8*T2^14 + 2036*T1^9*T2^14 - 
      3464*T1^10*T2^14 + 2321*T1^11*T2^14 + 496*T1^12*T2^14 - 
      3004*T1^13*T2^14 + 2841*T1^14*T2^14 - 1461*T1^15*T2^14 + 
      348*T1^16*T2^14 - 83*T1^7*T2^15 + 332*T1^8*T2^15 - 559*T1^9*T2^15 + 
      317*T1^10*T2^15 + 736*T1^11*T2^15 - 1816*T1^12*T2^15 + 
      2143*T1^13*T2^15 - 1461*T1^14*T2^15 + 618*T1^15*T2^15 - 
      127*T1^16*T2^15 + 23*T1^8*T2^16 - 127*T1^9*T2^16 + 348*T1^10*T2^16 - 
      617*T1^11*T2^16 + 735*T1^12*T2^16 - 617*T1^13*T2^16 + 348*T1^14*T2^16 - 
      127*T1^15*T2^16 + 23*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1271] -> 
  {(4 - 20*T + 44*T^2 - 55*T^3 + 44*T^4 - 20*T^5 + 4*T^6)/T^3, 
   (2*(-64 + 324*T1 - 724*T1^2 + 912*T1^3 - 724*T1^4 + 324*T1^5 - 64*T1^6 + 
      324*T2 - 1472*T1*T2 + 2814*T1^2*T2 - 2704*T1^3*T2 + 1256*T1^4*T2 + 
      254*T1^5*T2 - 512*T1^6*T2 + 164*T1^7*T2 - 724*T2^2 + 2814*T1*T2^2 - 
      3948*T1^2*T2^2 + 935*T1^3*T2^2 + 3358*T1^4*T2^2 - 5225*T1^5*T2^2 + 
      3092*T1^6*T2^2 - 706*T1^7*T2^2 - 20*T1^8*T2^2 + 912*T2^3 - 
      2704*T1*T2^3 + 935*T1^2*T2^3 + 7093*T1^3*T2^3 - 12495*T1^4*T2^3 + 
      9945*T1^5*T2^3 - 1597*T1^6*T2^3 - 3025*T1^7*T2^3 + 2136*T1^8*T2^3 - 
      408*T1^9*T2^3 - 724*T2^4 + 1256*T1*T2^4 + 3358*T1^2*T2^4 - 
      12495*T1^3*T2^4 + 11770*T1^4*T2^4 + 502*T1^5*T2^4 - 12650*T1^6*T2^4 + 
      12145*T1^7*T2^4 - 3154*T1^8*T2^4 - 1384*T1^9*T2^4 + 684*T1^10*T2^4 + 
      324*T2^5 + 254*T1*T2^5 - 5225*T1^2*T2^5 + 9945*T1^3*T2^5 + 
      502*T1^4*T2^5 - 18211*T1^5*T2^5 + 21899*T1^6*T2^5 - 7858*T1^7*T2^5 - 
      8095*T1^8*T2^5 + 7535*T1^9*T2^5 - 1026*T1^10*T2^5 - 476*T1^11*T2^5 - 
      64*T2^6 - 512*T1*T2^6 + 3092*T1^2*T2^6 - 1597*T1^3*T2^6 - 
      12650*T1^4*T2^6 + 21899*T1^5*T2^6 - 6960*T1^6*T2^6 - 14821*T1^7*T2^6 + 
      22902*T1^8*T2^6 - 7757*T1^9*T2^6 - 3052*T1^10*T2^6 + 1728*T1^11*T2^6 + 
      128*T1^12*T2^6 + 164*T1*T2^7 - 706*T1^2*T2^7 - 3025*T1^3*T2^7 + 
      12145*T1^4*T2^7 - 7858*T1^5*T2^7 - 14821*T1^6*T2^7 + 25289*T1^7*T2^7 - 
      16218*T1^8*T2^7 - 5895*T1^9*T2^7 + 9735*T1^10*T2^7 - 1986*T1^11*T2^7 - 
      636*T1^12*T2^7 - 20*T1^2*T2^8 + 2136*T1^3*T2^8 - 3154*T1^4*T2^8 - 
      8095*T1^5*T2^8 + 22902*T1^6*T2^8 - 16218*T1^7*T2^8 - 1518*T1^8*T2^8 + 
      16545*T1^9*T2^8 - 9666*T1^10*T2^8 - 504*T1^11*T2^8 + 1388*T1^12*T2^8 - 
      408*T1^3*T2^9 - 1384*T1^4*T2^9 + 7535*T1^5*T2^9 - 7757*T1^6*T2^9 - 
      5895*T1^7*T2^9 + 16545*T1^8*T2^9 - 16447*T1^9*T2^9 + 3575*T1^10*T2^9 + 
      3456*T1^11*T2^9 - 1728*T1^12*T2^9 + 684*T1^4*T2^10 - 1026*T1^5*T2^10 - 
      3052*T1^6*T2^10 + 9735*T1^7*T2^10 - 9666*T1^8*T2^10 + 3575*T1^9*T2^10 + 
      3988*T1^10*T2^10 - 4546*T1^11*T2^10 + 1388*T1^12*T2^10 - 
      476*T1^5*T2^11 + 1728*T1^6*T2^11 - 1986*T1^7*T2^11 - 504*T1^8*T2^11 + 
      3456*T1^9*T2^11 - 4546*T1^10*T2^11 + 2688*T1^11*T2^11 - 
      636*T1^12*T2^11 + 128*T1^6*T2^12 - 636*T1^7*T2^12 + 1388*T1^8*T2^12 - 
      1728*T1^9*T2^12 + 1388*T1^10*T2^12 - 636*T1^11*T2^12 + 
      128*T1^12*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, Alternating, 1272] -> 
  {((1 - T + T^2)*(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6))/T^4, 
   (-33 + 164*T1 - 409*T1^2 + 654*T1^3 - 769*T1^4 + 654*T1^5 - 409*T1^6 + 
     164*T1^7 - 33*T1^8 + 164*T2 - 692*T1*T2 + 1420*T1^2*T2 - 1721*T1^3*T2 + 
     1373*T1^4*T2 - 367*T1^5*T2 - 421*T1^6*T2 + 720*T1^7*T2 - 452*T1^8*T2 + 
     124*T1^9*T2 - 409*T2^2 + 1420*T1*T2^2 - 2223*T1^2*T2^2 + 
     1525*T1^3*T2^2 + 52*T1^4*T2^2 - 2063*T1^5*T2^2 + 2252*T1^6*T2^2 - 
     1475*T1^7*T2^2 + 77*T1^8*T2^2 + 420*T1^9*T2^2 - 209*T1^10*T2^2 + 
     654*T2^3 - 1721*T1*T2^3 + 1525*T1^2*T2^3 + 1020*T1^3*T2^3 - 
     3047*T1^4*T2^3 + 4363*T1^5*T2^3 - 1787*T1^6*T2^3 - 477*T1^7*T2^3 + 
     2350*T1^8*T2^3 - 1475*T1^9*T2^3 + 179*T1^10*T2^3 + 174*T1^11*T2^3 - 
     769*T2^4 + 1373*T1*T2^4 + 52*T1^2*T2^4 - 3047*T1^3*T2^4 + 
     2786*T1^4*T2^4 - 1709*T1^5*T2^4 - 3518*T1^6*T2^4 + 4611*T1^7*T2^4 - 
     4294*T1^8*T2^4 + 313*T1^9*T2^4 + 1452*T1^10*T2^4 - 787*T1^11*T2^4 - 
     17*T1^12*T2^4 + 654*T2^5 - 367*T1*T2^5 - 2063*T1^2*T2^5 + 
     4363*T1^3*T2^5 - 1709*T1^4*T2^5 - 142*T1^5*T2^5 + 5646*T1^6*T2^5 - 
     3704*T1^7*T2^5 + 1288*T1^8*T2^5 + 3711*T1^9*T2^5 - 2887*T1^10*T2^5 + 
     37*T1^11*T2^5 + 813*T1^12*T2^5 - 146*T1^13*T2^5 - 409*T2^6 - 
     421*T1*T2^6 + 2252*T1^2*T2^6 - 1787*T1^3*T2^6 - 3518*T1^4*T2^6 + 
     5646*T1^5*T2^6 - 9751*T1^6*T2^6 + 3697*T1^7*T2^6 + 849*T1^8*T2^6 - 
     4854*T1^9*T2^6 + 632*T1^10*T2^6 + 2713*T1^11*T2^6 - 1548*T1^12*T2^6 - 
     221*T1^13*T2^6 + 191*T1^14*T2^6 + 164*T2^7 + 720*T1*T2^7 - 
     1475*T1^2*T2^7 - 477*T1^3*T2^7 + 4611*T1^4*T2^7 - 3704*T1^5*T2^7 + 
     3697*T1^6*T2^7 + 4396*T1^7*T2^7 - 6234*T1^8*T2^7 + 3897*T1^9*T2^7 + 
     3346*T1^10*T2^7 - 4409*T1^11*T2^7 + 113*T1^12*T2^7 + 1525*T1^13*T2^7 - 
     380*T1^14*T2^7 - 116*T1^15*T2^7 - 33*T2^8 - 452*T1*T2^8 + 77*T1^2*T2^8 + 
     2350*T1^3*T2^8 - 4294*T1^4*T2^8 + 1288*T1^5*T2^8 + 849*T1^6*T2^8 - 
     6234*T1^7*T2^8 + 3444*T1^8*T2^8 + 2646*T1^9*T2^8 - 5851*T1^10*T2^8 + 
     1808*T1^11*T2^8 + 3710*T1^12*T2^8 - 2530*T1^13*T2^8 - 123*T1^14*T2^8 + 
     428*T1^15*T2^8 + 31*T1^16*T2^8 + 124*T1*T2^9 + 420*T1^2*T2^9 - 
     1475*T1^3*T2^9 + 313*T1^4*T2^9 + 3711*T1^5*T2^9 - 4854*T1^6*T2^9 + 
     3897*T1^7*T2^9 + 2646*T1^8*T2^9 - 7984*T1^9*T2^9 + 4097*T1^10*T2^9 + 
     2196*T1^11*T2^9 - 5309*T1^12*T2^9 + 903*T1^13*T2^9 + 1525*T1^14*T2^9 - 
     680*T1^15*T2^9 - 156*T1^16*T2^9 - 209*T1^2*T2^10 + 179*T1^3*T2^10 + 
     1452*T1^4*T2^10 - 2887*T1^5*T2^10 + 632*T1^6*T2^10 + 3346*T1^7*T2^10 - 
     5851*T1^8*T2^10 + 4097*T1^9*T2^10 + 4749*T1^10*T2^10 - 
     7154*T1^11*T2^10 + 4782*T1^12*T2^10 + 1613*T1^13*T2^10 - 
     2348*T1^14*T2^10 + 379*T1^15*T2^10 + 391*T1^16*T2^10 + 174*T1^3*T2^11 - 
     787*T1^4*T2^11 + 37*T1^5*T2^11 + 2713*T1^6*T2^11 - 4409*T1^7*T2^11 + 
     1808*T1^8*T2^11 + 2196*T1^9*T2^11 - 7154*T1^10*T2^11 + 
     3238*T1^11*T2^11 + 1011*T1^12*T2^11 - 4537*T1^13*T2^11 + 
     2137*T1^14*T2^11 + 393*T1^15*T2^11 - 626*T1^16*T2^11 - 17*T1^4*T2^12 + 
     813*T1^5*T2^12 - 1548*T1^6*T2^12 + 113*T1^7*T2^12 + 3710*T1^8*T2^12 - 
     5309*T1^9*T2^12 + 4782*T1^10*T2^12 + 1011*T1^11*T2^12 - 
     3370*T1^12*T2^12 + 3473*T1^13*T2^12 - 148*T1^14*T2^12 - 
     1347*T1^15*T2^12 + 735*T1^16*T2^12 - 146*T1^5*T2^13 - 221*T1^6*T2^13 + 
     1525*T1^7*T2^13 - 2530*T1^8*T2^13 + 903*T1^9*T2^13 + 1613*T1^10*T2^13 - 
     4537*T1^11*T2^13 + 3473*T1^12*T2^13 - 1200*T1^13*T2^13 - 
     1475*T1^14*T2^13 + 1679*T1^15*T2^13 - 626*T1^16*T2^13 + 191*T1^6*T2^14 - 
     380*T1^7*T2^14 - 123*T1^8*T2^14 + 1525*T1^9*T2^14 - 2348*T1^10*T2^14 + 
     2137*T1^11*T2^14 - 148*T1^12*T2^14 - 1475*T1^13*T2^14 + 
     2177*T1^14*T2^14 - 1380*T1^15*T2^14 + 391*T1^16*T2^14 - 116*T1^7*T2^15 + 
     428*T1^8*T2^15 - 680*T1^9*T2^15 + 379*T1^10*T2^15 + 393*T1^11*T2^15 - 
     1347*T1^12*T2^15 + 1679*T1^13*T2^15 - 1380*T1^14*T2^15 + 
     668*T1^15*T2^15 - 156*T1^16*T2^15 + 31*T1^8*T2^16 - 156*T1^9*T2^16 + 
     391*T1^10*T2^16 - 626*T1^11*T2^16 + 735*T1^12*T2^16 - 626*T1^13*T2^16 + 
     391*T1^14*T2^16 - 156*T1^15*T2^16 + 31*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, Alternating, 1273] -> 
  {-((1 - 3*T + 5*T^2 - 7*T^3 + 9*T^4 - 11*T^5 + 9*T^6 - 7*T^7 + 5*T^8 - 
      3*T^9 + T^10)/T^5), 
   -(((1 - 3*T1 + 5*T1^2 - 7*T1^3 + 9*T1^4 - 11*T1^5 + 9*T1^6 - 7*T1^7 + 
       5*T1^8 - 3*T1^9 + T1^10)*(1 + T1*T2)*(5 - 12*T1*T2 + 20*T1^2*T2^2 - 
       26*T1^3*T2^3 + 29*T1^4*T2^4 - 26*T1^5*T2^5 + 20*T1^6*T2^6 - 
       12*T1^7*T2^7 + 5*T1^8*T2^8)*(1 - 3*T2 + 5*T2^2 - 7*T2^3 + 9*T2^4 - 
       11*T2^5 + 9*T2^6 - 7*T2^7 + 5*T2^8 - 3*T2^9 + T2^10))/(T1^11*T2^10))}, 
 Knot[12, Alternating, 1274] -> 
  {-((2 - 7*T + 13*T^2 - 17*T^3 + 17*T^4 - 17*T^5 + 13*T^6 - 7*T^7 + 2*T^8)/
     T^4), -((-25 + 87*T1 - 161*T1^2 + 211*T1^3 - 211*T1^4 + 211*T1^5 - 
      161*T1^6 + 87*T1^7 - 25*T1^8 + 87*T2 - 244*T1*T2 + 356*T1^2*T2 - 
      356*T1^3*T2 + 238*T1^4*T2 - 238*T1^5*T2 + 64*T1^6*T2 + 76*T1^7*T2 - 
      118*T1^8*T2 + 59*T1^9*T2 - 161*T2^2 + 356*T1*T2^2 - 383*T1^2*T2^2 + 
      247*T1^3*T2^2 - 27*T1^4*T2^2 + 157*T1^5*T2^2 + 181*T1^6*T2^2 - 
      273*T1^7*T2^2 + 189*T1^8*T2^2 - 8*T1^9*T2^2 - 57*T1^10*T2^2 + 
      211*T2^3 - 356*T1*T2^3 + 247*T1^2*T2^3 - 57*T1^3*T2^3 - 95*T1^4*T2^3 - 
      257*T1^5*T2^3 - 291*T1^6*T2^3 + 187*T1^7*T2^3 + 61*T1^8*T2^3 - 
      260*T1^9*T2^3 + 176*T1^10*T2^3 + 7*T1^11*T2^3 - 211*T2^4 + 
      238*T1*T2^4 - 27*T1^2*T2^4 - 95*T1^3*T2^4 + 102*T1^4*T2^4 + 
      358*T1^5*T2^4 + 432*T1^6*T2^4 - 50*T1^7*T2^4 - 238*T1^8*T2^4 + 
      211*T1^9*T2^4 + 75*T1^10*T2^4 - 238*T1^11*T2^4 + 61*T1^12*T2^4 + 
      211*T2^5 - 238*T1*T2^5 + 157*T1^2*T2^5 - 257*T1^3*T2^5 + 
      358*T1^4*T2^5 - 786*T1^5*T2^5 - 194*T1^6*T2^5 - 398*T1^7*T2^5 + 
      506*T1^8*T2^5 - 169*T1^9*T2^5 - 19*T1^10*T2^5 + 4*T1^11*T2^5 + 
      238*T1^12*T2^5 - 129*T1^13*T2^5 - 161*T2^6 + 64*T1*T2^6 + 
      181*T1^2*T2^6 - 291*T1^3*T2^6 + 432*T1^4*T2^6 - 194*T1^5*T2^6 + 
      1108*T1^6*T2^6 - 52*T1^7*T2^6 - 168*T1^8*T2^6 - 126*T1^9*T2^6 - 
      146*T1^10*T2^6 + 151*T1^11*T2^6 - 239*T1^12*T2^6 - 76*T1^13*T2^6 + 
      151*T1^14*T2^6 + 87*T2^7 + 76*T1*T2^7 - 273*T1^2*T2^7 + 187*T1^3*T2^7 - 
      50*T1^4*T2^7 - 398*T1^5*T2^7 - 52*T1^6*T2^7 - 1099*T1^7*T2^7 + 
      747*T1^8*T2^7 + 77*T1^9*T2^7 + 350*T1^10*T2^7 + T1^11*T2^7 + 
      T1^12*T2^7 + 312*T1^13*T2^7 - 148*T1^14*T2^7 - 109*T1^15*T2^7 - 
      25*T2^8 - 118*T1*T2^8 + 189*T1^2*T2^8 + 61*T1^3*T2^8 - 238*T1^4*T2^8 + 
      506*T1^5*T2^8 - 168*T1^6*T2^8 + 747*T1^7*T2^8 + 12*T1^8*T2^8 - 
      691*T1^9*T2^8 - 390*T1^10*T2^8 - 174*T1^11*T2^8 + 50*T1^12*T2^8 - 
      237*T1^13*T2^8 - 101*T1^14*T2^8 + 246*T1^15*T2^8 + 39*T1^16*T2^8 + 
      59*T1*T2^9 - 8*T1^2*T2^9 - 260*T1^3*T2^9 + 211*T1^4*T2^9 - 
      169*T1^5*T2^9 - 126*T1^6*T2^9 + 77*T1^7*T2^9 - 691*T1^8*T2^9 + 
      1155*T1^9*T2^9 + 206*T1^10*T2^9 + 622*T1^11*T2^9 - 118*T1^12*T2^9 + 
      25*T1^13*T2^9 + 325*T1^14*T2^9 - 232*T1^15*T2^9 - 137*T1^16*T2^9 - 
      57*T1^2*T2^10 + 176*T1^3*T2^10 + 75*T1^4*T2^10 - 19*T1^5*T2^10 - 
      146*T1^6*T2^10 + 350*T1^7*T2^10 - 390*T1^8*T2^10 + 206*T1^9*T2^10 - 
      1666*T1^10*T2^10 + 418*T1^11*T2^10 - 724*T1^12*T2^10 + 
      423*T1^13*T2^10 - 345*T1^14*T2^10 + 36*T1^15*T2^10 + 255*T1^16*T2^10 + 
      7*T1^3*T2^11 - 238*T1^4*T2^11 + 4*T1^5*T2^11 + 151*T1^6*T2^11 + 
      T1^7*T2^11 - 174*T1^8*T2^11 + 622*T1^9*T2^11 + 418*T1^10*T2^11 + 
      1118*T1^11*T2^11 - 526*T1^12*T2^11 + 389*T1^13*T2^11 - 
      149*T1^14*T2^11 + 238*T1^15*T2^11 - 333*T1^16*T2^11 + 61*T1^4*T2^12 + 
      238*T1^5*T2^12 - 239*T1^6*T2^12 + T1^7*T2^12 + 50*T1^8*T2^12 - 
      118*T1^9*T2^12 - 724*T1^10*T2^12 - 526*T1^11*T2^12 - 290*T1^12*T2^12 + 
      307*T1^13*T2^12 - 137*T1^14*T2^12 - 238*T1^15*T2^12 + 333*T1^16*T2^12 - 
      129*T1^5*T2^13 - 76*T1^6*T2^13 + 312*T1^7*T2^13 - 237*T1^8*T2^13 + 
      25*T1^9*T2^13 + 423*T1^10*T2^13 + 389*T1^11*T2^13 + 307*T1^12*T2^13 - 
      119*T1^13*T2^13 - 195*T1^14*T2^13 + 456*T1^15*T2^13 - 333*T1^16*T2^13 + 
      151*T1^6*T2^14 - 148*T1^7*T2^14 - 101*T1^8*T2^14 + 325*T1^9*T2^14 - 
      345*T1^10*T2^14 - 149*T1^11*T2^14 - 137*T1^12*T2^14 - 195*T1^13*T2^14 + 
      471*T1^14*T2^14 - 512*T1^15*T2^14 + 255*T1^16*T2^14 - 109*T1^7*T2^15 + 
      246*T1^8*T2^15 - 232*T1^9*T2^15 + 36*T1^10*T2^15 + 238*T1^11*T2^15 - 
      238*T1^12*T2^15 + 456*T1^13*T2^15 - 512*T1^14*T2^15 + 372*T1^15*T2^15 - 
      137*T1^16*T2^15 + 39*T1^8*T2^16 - 137*T1^9*T2^16 + 255*T1^10*T2^16 - 
      333*T1^11*T2^16 + 333*T1^12*T2^16 - 333*T1^13*T2^16 + 255*T1^14*T2^16 - 
      137*T1^15*T2^16 + 39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1275] -> 
  {-((4 - 16*T + 33*T^2 - 43*T^3 + 33*T^4 - 16*T^5 + 4*T^6)/T^3), 
   -(((4 - 16*T1 + 33*T1^2 - 43*T1^3 + 33*T1^4 - 16*T1^5 + 4*T1^6)*
      (1 + T1*T2)*(2 - 3*T1*T2 + 2*T1^2*T2^2)*(6 - 7*T1*T2 + 6*T1^2*T2^2)*
      (4 - 16*T2 + 33*T2^2 - 43*T2^3 + 33*T2^4 - 16*T2^5 + 4*T2^6))/
     (T1^7*T2^6))}, Knot[12, Alternating, 1276] -> 
  {-(((1 - T + T^2)*(2 - 4*T + 4*T^2 - 5*T^3 + 4*T^4 - 4*T^5 + 2*T^6))/T^4), 
   -((-25 + 75*T1 - 125*T1^2 + 163*T1^3 - 163*T1^4 + 163*T1^5 - 125*T1^6 + 
      75*T1^7 - 25*T1^8 + 75*T2 - 174*T1*T2 + 222*T1^2*T2 - 234*T1^3*T2 + 
      156*T1^4*T2 - 156*T1^5*T2 + 42*T1^6*T2 + 30*T1^7*T2 - 78*T1^8*T2 + 
      51*T1^9*T2 - 125*T2^2 + 222*T1*T2^2 - 211*T1^2*T2^2 + 189*T1^3*T2^2 - 
      61*T1^4*T2^2 + 143*T1^5*T2^2 + 59*T1^6*T2^2 - 91*T1^7*T2^2 + 
      109*T1^8*T2^2 - 18*T1^9*T2^2 - 45*T1^10*T2^2 + 163*T2^3 - 234*T1*T2^3 + 
      189*T1^2*T2^3 - 204*T1^3*T2^3 + 100*T1^4*T2^3 - 284*T1^5*T2^3 - 
      50*T1^6*T2^3 - 2*T1^7*T2^3 + 6*T1^8*T2^3 - 111*T1^9*T2^3 + 
      114*T1^10*T2^3 + 7*T1^11*T2^3 - 163*T2^4 + 156*T1*T2^4 - 61*T1^2*T2^4 + 
      100*T1^3*T2^4 + 9*T1^4*T2^4 + 191*T1^5*T2^4 + 273*T1^6*T2^4 - 
      69*T1^7*T2^4 + 61*T1^8*T2^4 - 4*T1^9*T2^4 + 43*T1^10*T2^4 - 
      156*T1^11*T2^4 + 45*T1^12*T2^4 + 163*T2^5 - 156*T1*T2^5 + 
      143*T1^2*T2^5 - 284*T1^3*T2^5 + 191*T1^4*T2^5 - 404*T1^5*T2^5 - 
      118*T1^6*T2^5 - 196*T1^7*T2^5 + 90*T1^8*T2^5 - 69*T1^9*T2^5 + 
      106*T1^10*T2^5 - 13*T1^11*T2^5 + 156*T1^12*T2^5 - 97*T1^13*T2^5 - 
      125*T2^6 + 42*T1*T2^6 + 59*T1^2*T2^6 - 50*T1^3*T2^6 + 273*T1^4*T2^6 - 
      118*T1^5*T2^6 + 602*T1^6*T2^6 - 112*T1^7*T2^6 + 158*T1^8*T2^6 - 
      66*T1^9*T2^6 - 143*T1^10*T2^6 - 50*T1^11*T2^6 - 93*T1^12*T2^6 - 
      54*T1^13*T2^6 + 115*T1^14*T2^6 + 75*T2^7 + 30*T1*T2^7 - 91*T1^2*T2^7 - 
      2*T1^3*T2^7 - 69*T1^4*T2^7 - 196*T1^5*T2^7 - 112*T1^6*T2^7 - 
      345*T1^7*T2^7 + 103*T1^8*T2^7 + 25*T1^9*T2^7 + 142*T1^10*T2^7 + 
      191*T1^11*T2^7 + 92*T1^12*T2^7 + 89*T1^13*T2^7 - 66*T1^14*T2^7 - 
      93*T1^15*T2^7 - 25*T2^8 - 78*T1*T2^8 + 109*T1^2*T2^8 + 6*T1^3*T2^8 + 
      61*T1^4*T2^8 + 90*T1^5*T2^8 + 158*T1^6*T2^8 + 103*T1^7*T2^8 + 
      108*T1^8*T2^8 - 147*T1^9*T2^8 - 296*T1^10*T2^8 - 14*T1^11*T2^8 - 
      359*T1^12*T2^8 + 26*T1^13*T2^8 - 67*T1^14*T2^8 + 162*T1^15*T2^8 + 
      39*T1^16*T2^8 + 51*T1*T2^9 - 18*T1^2*T2^9 - 111*T1^3*T2^9 - 
      4*T1^4*T2^9 - 69*T1^5*T2^9 - 66*T1^6*T2^9 + 25*T1^7*T2^9 - 
      147*T1^8*T2^9 + 301*T1^9*T2^9 + 162*T1^10*T2^9 + 272*T1^11*T2^9 + 
      191*T1^12*T2^9 + 90*T1^13*T2^9 + 69*T1^14*T2^9 - 114*T1^15*T2^9 - 
      117*T1^16*T2^9 - 45*T1^2*T2^10 + 114*T1^3*T2^10 + 43*T1^4*T2^10 + 
      106*T1^5*T2^10 - 143*T1^6*T2^10 + 142*T1^7*T2^10 - 296*T1^8*T2^10 + 
      162*T1^9*T2^10 - 740*T1^10*T2^10 + 194*T1^11*T2^10 - 559*T1^12*T2^10 + 
      106*T1^13*T2^10 - 109*T1^14*T2^10 + 18*T1^15*T2^10 + 195*T1^16*T2^10 + 
      7*T1^3*T2^11 - 156*T1^4*T2^11 - 13*T1^5*T2^11 - 50*T1^6*T2^11 + 
      191*T1^7*T2^11 - 14*T1^8*T2^11 + 272*T1^9*T2^11 + 194*T1^10*T2^11 + 
      480*T1^11*T2^11 - 69*T1^12*T2^11 + 340*T1^13*T2^11 - 169*T1^14*T2^11 + 
      156*T1^15*T2^11 - 253*T1^16*T2^11 + 45*T1^4*T2^12 + 156*T1^5*T2^12 - 
      93*T1^6*T2^12 + 92*T1^7*T2^12 - 359*T1^8*T2^12 + 191*T1^9*T2^12 - 
      559*T1^10*T2^12 - 69*T1^11*T2^12 - 307*T1^12*T2^12 - 12*T1^13*T2^12 + 
      11*T1^14*T2^12 - 156*T1^15*T2^12 + 253*T1^16*T2^12 - 97*T1^5*T2^13 - 
      54*T1^6*T2^13 + 89*T1^7*T2^13 + 26*T1^8*T2^13 + 90*T1^9*T2^13 + 
      106*T1^10*T2^13 + 340*T1^11*T2^13 - 12*T1^12*T2^13 + 236*T1^13*T2^13 - 
      211*T1^14*T2^13 + 294*T1^15*T2^13 - 253*T1^16*T2^13 + 115*T1^6*T2^14 - 
      66*T1^7*T2^14 - 67*T1^8*T2^14 + 69*T1^9*T2^14 - 109*T1^10*T2^14 - 
      169*T1^11*T2^14 + 11*T1^12*T2^14 - 211*T1^13*T2^14 + 253*T1^14*T2^14 - 
      306*T1^15*T2^14 + 195*T1^16*T2^14 - 93*T1^7*T2^15 + 162*T1^8*T2^15 - 
      114*T1^9*T2^15 + 18*T1^10*T2^15 + 156*T1^11*T2^15 - 156*T1^12*T2^15 + 
      294*T1^13*T2^15 - 306*T1^14*T2^15 + 258*T1^15*T2^15 - 117*T1^16*T2^15 + 
      39*T1^8*T2^16 - 117*T1^9*T2^16 + 195*T1^10*T2^16 - 253*T1^11*T2^16 + 
      253*T1^12*T2^16 - 253*T1^13*T2^16 + 195*T1^14*T2^16 - 117*T1^15*T2^16 + 
      39*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1277] -> 
  {-(((-2 + 3*T - 4*T^2 + 2*T^3)*(-2 + 4*T - 3*T^2 + 2*T^3))/T^3), 
   -((-192 + 676*T1 - 1260*T1^2 + 1600*T1^3 - 1260*T1^4 + 676*T1^5 - 
      192*T1^6 + 676*T2 - 1926*T1*T2 + 2836*T1^2*T2 - 2652*T1^3*T2 + 
      652*T1^4*T2 + 596*T1^5*T2 - 918*T1^6*T2 + 452*T1^7*T2 - 1260*T2^2 + 
      2836*T1*T2^2 - 3063*T1^2*T2^2 + 1511*T1^3*T2^2 + 2241*T1^4*T2^2 - 
      2441*T1^5*T2^2 + 1513*T1^6*T2^2 - 76*T1^7*T2^2 - 428*T1^8*T2^2 + 
      1600*T2^3 - 2652*T1*T2^3 + 1511*T1^2*T2^3 + 922*T1^3*T2^3 - 
      4404*T1^4*T2^3 + 1232*T1^5*T2^3 + 1014*T1^6*T2^3 - 2233*T1^7*T2^3 + 
      1436*T1^8*T2^3 + 16*T1^9*T2^3 - 1260*T2^4 + 652*T1*T2^4 + 
      2241*T1^2*T2^4 - 4404*T1^3*T2^4 + 5113*T1^4*T2^4 + 1637*T1^5*T2^4 - 
      3291*T1^6*T2^4 + 2196*T1^7*T2^4 + 121*T1^8*T2^4 - 1476*T1^9*T2^4 + 
      404*T1^10*T2^4 + 676*T2^5 + 596*T1*T2^5 - 2441*T1^2*T2^5 + 
      1232*T1^3*T2^5 + 1637*T1^4*T2^5 - 7466*T1^5*T2^5 + 4516*T1^6*T2^5 + 
      441*T1^7*T2^5 - 2476*T1^8*T2^5 + 2135*T1^9*T2^5 + 148*T1^10*T2^5 - 
      444*T1^11*T2^5 - 192*T2^6 - 918*T1*T2^6 + 1513*T1^2*T2^6 + 
      1014*T1^3*T2^6 - 3291*T1^4*T2^6 + 4516*T1^5*T2^6 + 924*T1^6*T2^6 - 
      5268*T1^7*T2^6 + 3077*T1^8*T2^6 - 698*T1^9*T2^6 - 1559*T1^10*T2^6 + 
      874*T1^11*T2^6 + 192*T1^12*T2^6 + 452*T1*T2^7 - 76*T1^2*T2^7 - 
      2233*T1^3*T2^7 + 2196*T1^4*T2^7 + 441*T1^5*T2^7 - 5268*T1^6*T2^7 + 
      6714*T1^7*T2^7 - 755*T1^8*T2^7 - 1512*T1^9*T2^7 + 2343*T1^10*T2^7 - 
      524*T1^11*T2^7 - 668*T1^12*T2^7 - 428*T1^2*T2^8 + 1436*T1^3*T2^8 + 
      121*T1^4*T2^8 - 2476*T1^5*T2^8 + 3077*T1^6*T2^8 - 755*T1^7*T2^8 - 
      5327*T1^8*T2^8 + 4124*T1^9*T2^8 - 1999*T1^10*T2^8 - 692*T1^11*T2^8 + 
      1236*T1^12*T2^8 + 16*T1^3*T2^9 - 1476*T1^4*T2^9 + 2135*T1^5*T2^9 - 
      698*T1^6*T2^9 - 1512*T1^7*T2^9 + 4124*T1^8*T2^9 - 606*T1^9*T2^9 - 
      1609*T1^10*T2^9 + 2612*T1^11*T2^9 - 1568*T1^12*T2^9 + 404*T1^4*T2^10 + 
      148*T1^5*T2^10 - 1559*T1^6*T2^10 + 2343*T1^7*T2^10 - 1999*T1^8*T2^10 - 
      1609*T1^9*T2^10 + 3017*T1^10*T2^10 - 2764*T1^11*T2^10 + 
      1236*T1^12*T2^10 - 444*T1^5*T2^11 + 874*T1^6*T2^11 - 524*T1^7*T2^11 - 
      692*T1^8*T2^11 + 2612*T1^9*T2^11 - 2764*T1^10*T2^11 + 
      1882*T1^11*T2^11 - 668*T1^12*T2^11 + 192*T1^6*T2^12 - 668*T1^7*T2^12 + 
      1236*T1^8*T2^12 - 1568*T1^9*T2^12 + 1236*T1^10*T2^12 - 
      668*T1^11*T2^12 + 192*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1278] -> 
  {-((3 - 7*T + 7*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 3*T^6)/T^3), 
   -((-36 + 86*T1 - 86*T1^2 + 86*T1^3 - 86*T1^4 + 86*T1^5 - 36*T1^6 + 86*T2 - 
      183*T1*T2 + 147*T1^2*T2 - 147*T1^3*T2 + 147*T1^4*T2 - 147*T1^5*T2 + 
      27*T1^6*T2 + 23*T1^7*T2 - 86*T2^2 + 147*T1*T2^2 - 40*T1^2*T2^2 + 
      28*T1^3*T2^2 - 28*T1^4*T2^2 + 28*T1^5*T2^2 + 128*T1^6*T2^2 - 
      147*T1^7*T2^2 + 40*T1^8*T2^2 + 86*T2^3 - 147*T1*T2^3 + 28*T1^2*T2^3 - 
      50*T1^3*T2^3 + 98*T1^4*T2^3 - 98*T1^5*T2^3 - 106*T1^6*T2^3 + 
      77*T1^7*T2^3 + 147*T1^8*T2^3 - 103*T1^9*T2^3 - 86*T2^4 + 147*T1*T2^4 - 
      28*T1^2*T2^4 + 98*T1^3*T2^4 - 124*T1^4*T2^4 + 28*T1^5*T2^4 + 
      212*T1^6*T2^4 - 98*T1^7*T2^4 - 126*T1^8*T2^4 - 147*T1^9*T2^4 + 
      166*T1^10*T2^4 + 86*T2^5 - 147*T1*T2^5 + 28*T1^2*T2^5 - 98*T1^3*T2^5 + 
      28*T1^4*T2^5 + 83*T1^5*T2^5 - 239*T1^6*T2^5 + 77*T1^7*T2^5 + 
      98*T1^8*T2^5 + 175*T1^9*T2^5 + 147*T1^10*T2^5 - 229*T1^11*T2^5 - 
      36*T2^6 + 27*T1*T2^6 + 128*T1^2*T2^6 - 106*T1^3*T2^6 + 212*T1^4*T2^6 - 
      239*T1^5*T2^6 + 132*T1^6*T2^6 + 167*T1^7*T2^6 - 390*T1^8*T2^6 + 
      202*T1^9*T2^6 - 572*T1^10*T2^6 + 237*T1^11*T2^6 + 126*T1^12*T2^6 + 
      23*T1*T2^7 - 147*T1^2*T2^7 + 77*T1^3*T2^7 - 98*T1^4*T2^7 + 
      77*T1^5*T2^7 + 167*T1^6*T2^7 - 155*T1^7*T2^7 + 126*T1^8*T2^7 + 
      98*T1^9*T2^7 + 224*T1^10*T2^7 + 147*T1^11*T2^7 - 292*T1^12*T2^7 + 
      40*T1^2*T2^8 + 147*T1^3*T2^8 - 126*T1^4*T2^8 + 98*T1^5*T2^8 - 
      390*T1^6*T2^8 + 126*T1^7*T2^8 - 54*T1^8*T2^8 - 98*T1^9*T2^8 - 
      224*T1^10*T2^8 - 147*T1^11*T2^8 + 292*T1^12*T2^8 - 103*T1^3*T2^9 - 
      147*T1^4*T2^9 + 175*T1^5*T2^9 + 202*T1^6*T2^9 + 98*T1^7*T2^9 - 
      98*T1^8*T2^9 + 146*T1^9*T2^9 + 224*T1^10*T2^9 + 147*T1^11*T2^9 - 
      292*T1^12*T2^9 + 166*T1^4*T2^10 + 147*T1^5*T2^10 - 572*T1^6*T2^10 + 
      224*T1^7*T2^10 - 224*T1^8*T2^10 + 224*T1^9*T2^10 - 404*T1^10*T2^10 - 
      147*T1^11*T2^10 + 292*T1^12*T2^10 - 229*T1^5*T2^11 + 237*T1^6*T2^11 + 
      147*T1^7*T2^11 - 147*T1^8*T2^11 + 147*T1^9*T2^11 - 147*T1^10*T2^11 + 
      447*T1^11*T2^11 - 292*T1^12*T2^11 + 126*T1^6*T2^12 - 292*T1^7*T2^12 + 
      292*T1^8*T2^12 - 292*T1^9*T2^12 + 292*T1^10*T2^12 - 292*T1^11*T2^12 + 
      126*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1279] -> {-((6 - 17*T + 21*T^2 - 17*T^3 + 6*T^4)/T^2), 
   -((-261 + 769*T1 - 969*T1^2 + 769*T1^3 - 261*T1^4 + 769*T2 - 2104*T1*T2 + 
      2314*T1^2*T2 - 1562*T1^3*T2 + 242*T1^4*T2 + 157*T1^5*T2 - 969*T2^2 + 
      2314*T1*T2^2 - 1498*T1^2*T2^2 - 404*T1^3*T2^2 + 2282*T1^4*T2^2 - 
      1970*T1^5*T2^2 + 543*T1^6*T2^2 + 769*T2^3 - 1562*T1*T2^3 - 
      404*T1^2*T2^3 + 2867*T1^3*T2^3 - 3661*T1^4*T2^3 + 1381*T1^5*T2^3 + 
      1498*T1^6*T2^3 - 1067*T1^7*T2^3 - 261*T2^4 + 242*T1*T2^4 + 
      2282*T1^2*T2^4 - 3661*T1^3*T2^4 + 1224*T1^4*T2^4 + 2561*T1^5*T2^4 - 
      4520*T1^6*T2^4 + 1262*T1^7*T2^4 + 603*T1^8*T2^4 + 157*T1*T2^5 - 
      1970*T1^2*T2^5 + 1381*T1^3*T2^5 + 2561*T1^4*T2^5 - 3967*T1^5*T2^5 + 
      3166*T1^6*T2^5 + 1090*T1^7*T2^5 - 1679*T1^8*T2^5 + 543*T1^2*T2^6 + 
      1498*T1^3*T2^6 - 4520*T1^4*T2^6 + 3166*T1^5*T2^6 - 740*T1^6*T2^6 - 
      2786*T1^7*T2^6 + 2055*T1^8*T2^6 - 1067*T1^3*T2^7 + 1262*T1^4*T2^7 + 
      1090*T1^5*T2^7 - 2786*T1^6*T2^7 + 3608*T1^7*T2^7 - 1679*T1^8*T2^7 + 
      603*T1^4*T2^8 - 1679*T1^5*T2^8 + 2055*T1^6*T2^8 - 1679*T1^7*T2^8 + 
      603*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1280] -> 
  {(1 - 9*T + 28*T^2 - 51*T^3 + 63*T^4 - 51*T^5 + 28*T^6 - 9*T^7 + T^8)/T^4, 
   ((1 - 9*T1 + 28*T1^2 - 51*T1^3 + 63*T1^4 - 51*T1^5 + 28*T1^6 - 9*T1^7 + 
      T1^8)*(1 + T1*T2)*(4 - 27*T1*T2 + 60*T1^2*T2^2 - 78*T1^3*T2^3 + 
      60*T1^4*T2^4 - 27*T1^5*T2^5 + 4*T1^6*T2^6)*(1 - 9*T2 + 28*T2^2 - 
      51*T2^3 + 63*T2^4 - 51*T2^5 + 28*T2^6 - 9*T2^7 + T2^8))/(T1^9*T2^8)}, 
 Knot[12, Alternating, 1281] -> 
  {-((4 - 13*T + 23*T^2 - 29*T^3 + 23*T^4 - 13*T^5 + 4*T^6)/T^3), 
   -(((4 - 13*T1 + 23*T1^2 - 29*T1^3 + 23*T1^4 - 13*T1^5 + 4*T1^6)*
      (1 + T1*T2)*(12 - 26*T1*T2 + 35*T1^2*T2^2 - 26*T1^3*T2^3 + 
       12*T1^4*T2^4)*(4 - 13*T2 + 23*T2^2 - 29*T2^3 + 23*T2^4 - 13*T2^5 + 
       4*T2^6))/(T1^7*T2^6))}, Knot[12, Alternating, 1282] -> 
  {-((6 - 16*T + 19*T^2 - 16*T^3 + 6*T^4)/T^2), 
   -((-261 + 713*T1 - 857*T1^2 + 713*T1^3 - 261*T1^4 + 713*T2 - 1808*T1*T2 + 
      1924*T1^2*T2 - 1436*T1^3*T2 + 304*T1^4*T2 + 137*T1^5*T2 - 857*T2^2 + 
      1924*T1*T2^2 - 1292*T1^2*T2^2 + 2*T1^3*T2^2 + 1672*T1^4*T2^2 - 
      1724*T1^5*T2^2 + 511*T1^6*T2^2 + 713*T2^3 - 1436*T1*T2^3 + 
      2*T1^2*T2^3 + 1686*T1^3*T2^3 - 2618*T1^4*T2^3 + 1218*T1^5*T2^3 + 
      1348*T1^6*T2^3 - 1015*T1^7*T2^3 - 261*T2^4 + 304*T1*T2^4 + 
      1672*T1^2*T2^4 - 2618*T1^3*T2^4 + 984*T1^4*T2^4 + 1734*T1^5*T2^4 - 
      3784*T1^6*T2^4 + 1072*T1^7*T2^4 + 603*T1^8*T2^4 + 137*T1*T2^5 - 
      1724*T1^2*T2^5 + 1218*T1^3*T2^5 + 1734*T1^4*T2^5 - 2570*T1^5*T2^5 + 
      2434*T1^6*T2^5 + 1060*T1^7*T2^5 - 1591*T1^8*T2^5 + 511*T1^2*T2^6 + 
      1348*T1^3*T2^6 - 3784*T1^4*T2^6 + 2434*T1^5*T2^6 - 820*T1^6*T2^6 - 
      2300*T1^7*T2^6 + 1879*T1^8*T2^6 - 1015*T1^3*T2^7 + 1072*T1^4*T2^7 + 
      1060*T1^5*T2^7 - 2300*T1^6*T2^7 + 3184*T1^7*T2^7 - 1591*T1^8*T2^7 + 
      603*T1^4*T2^8 - 1591*T1^5*T2^8 + 1879*T1^6*T2^8 - 1591*T1^7*T2^8 + 
      603*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1283] -> 
  {-(((1 - T + T^2)^2*(-1 + T + T^3)*(-1 - T^2 + T^3))/T^5), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-5 + 10*T1 - 15*T1^2 + 25*T1^3 - 25*T1^4 + 25*T1^5 - 15*T1^6 + 
       10*T1^7 - 5*T1^8 + 10*T2 - 13*T1*T2 + 16*T1^2*T2 - 29*T1^3*T2 + 
       15*T1^4*T2 - 15*T1^5*T2 - 5*T1^6*T2 + T1^7*T2 - 4*T1^8*T2 + 
       7*T1^9*T2 - 15*T2^2 + 16*T1*T2^2 - 24*T1^2*T2^2 + 47*T1^3*T2^2 - 
       24*T1^4*T2^2 + 36*T1^5*T2^2 - 6*T1^6*T2^2 + 20*T1^7*T2^2 - 
       6*T1^8*T2^2 - 2*T1^9*T2^2 - 6*T1^10*T2^2 + 25*T2^3 - 29*T1*T2^3 + 
       47*T1^2*T2^3 - 81*T1^3*T2^3 + 40*T1^4*T2^3 - 59*T1^5*T2^3 - 
       5*T1^6*T2^3 - 14*T1^7*T2^3 - 18*T1^8*T2^3 + 20*T1^9*T2^3 - 
       2*T1^10*T2^3 + 7*T1^11*T2^3 - 25*T2^4 + 15*T1*T2^4 - 24*T1^2*T2^4 + 
       40*T1^3*T2^4 + 33*T1^4*T2^4 - 9*T1^5*T2^4 + 87*T1^6*T2^4 - 
       42*T1^7*T2^4 + 70*T1^8*T2^4 - 43*T1^9*T2^4 + 9*T1^10*T2^4 - 
       14*T1^11*T2^4 + 25*T2^5 - 15*T1*T2^5 + 36*T1^2*T2^5 - 59*T1^3*T2^5 - 
       9*T1^4*T2^5 - 40*T1^5*T2^5 - 40*T1^6*T2^5 - 10*T1^7*T2^5 - 
       21*T1^8*T2^5 - 4*T1^9*T2^5 + 23*T1^10*T2^5 + T1^11*T2^5 + 
       14*T1^12*T2^5 - 7*T1^13*T2^5 - 15*T2^6 - 5*T1*T2^6 - 6*T1^2*T2^6 - 
       5*T1^3*T2^6 + 87*T1^4*T2^6 - 40*T1^5*T2^6 + 128*T1^6*T2^6 - 
       75*T1^7*T2^6 + 83*T1^8*T2^6 - 39*T1^9*T2^6 + 7*T1^10*T2^6 - 
       23*T1^11*T2^6 - 11*T1^12*T2^6 + 2*T1^13*T2^6 + 6*T1^14*T2^6 + 
       10*T2^7 + T1*T2^7 + 20*T1^2*T2^7 - 14*T1^3*T2^7 - 42*T1^4*T2^7 - 
       10*T1^5*T2^7 - 75*T1^6*T2^7 + 36*T1^7*T2^7 - 20*T1^8*T2^7 - 
       5*T1^9*T2^7 + 41*T1^10*T2^7 - 10*T1^11*T2^7 + 39*T1^12*T2^7 - 
       16*T1^13*T2^7 + 2*T1^14*T2^7 - 7*T1^15*T2^7 - 5*T2^8 - 4*T1*T2^8 - 
       6*T1^2*T2^8 - 18*T1^3*T2^8 + 70*T1^4*T2^8 - 21*T1^5*T2^8 + 
       83*T1^6*T2^8 - 20*T1^7*T2^8 - 48*T1^8*T2^8 + 48*T1^9*T2^8 - 
       93*T1^10*T2^8 + 29*T1^11*T2^8 - 52*T1^12*T2^8 + 14*T1^13*T2^8 + 
       4*T1^14*T2^8 + 4*T1^15*T2^8 + 5*T1^16*T2^8 + 7*T1*T2^9 - 2*T1^2*T2^9 + 
       20*T1^3*T2^9 - 43*T1^4*T2^9 - 4*T1^5*T2^9 - 39*T1^6*T2^9 - 
       5*T1^7*T2^9 + 48*T1^8*T2^9 - 8*T1^9*T2^9 + 65*T1^10*T2^9 + 
       12*T1^11*T2^9 + 28*T1^12*T2^9 + 10*T1^13*T2^9 - 16*T1^14*T2^9 - 
       T1^15*T2^9 - 10*T1^16*T2^9 - 6*T1^2*T2^10 - 2*T1^3*T2^10 + 
       9*T1^4*T2^10 + 23*T1^5*T2^10 + 7*T1^6*T2^10 + 41*T1^7*T2^10 - 
       93*T1^8*T2^10 + 65*T1^9*T2^10 - 138*T1^10*T2^10 + 42*T1^11*T2^10 - 
       73*T1^12*T2^10 + 5*T1^13*T2^10 + 4*T1^14*T2^10 + 5*T1^15*T2^10 + 
       15*T1^16*T2^10 + 7*T1^3*T2^11 - 14*T1^4*T2^11 + T1^5*T2^11 - 
       23*T1^6*T2^11 - 10*T1^7*T2^11 + 29*T1^8*T2^11 + 12*T1^9*T2^11 + 
       42*T1^10*T2^11 + 48*T1^11*T2^11 - 5*T1^12*T2^11 + 59*T1^13*T2^11 - 
       34*T1^14*T2^11 + 15*T1^15*T2^11 - 25*T1^16*T2^11 + 14*T1^5*T2^12 - 
       11*T1^6*T2^12 + 39*T1^7*T2^12 - 52*T1^8*T2^12 + 28*T1^9*T2^12 - 
       73*T1^10*T2^12 - 5*T1^11*T2^12 - 15*T1^12*T2^12 - 44*T1^13*T2^12 + 
       22*T1^14*T2^12 - 15*T1^15*T2^12 + 25*T1^16*T2^12 - 7*T1^5*T2^13 + 
       2*T1^6*T2^13 - 16*T1^7*T2^13 + 14*T1^8*T2^13 + 10*T1^9*T2^13 + 
       5*T1^10*T2^13 + 59*T1^11*T2^13 - 44*T1^12*T2^13 + 77*T1^13*T2^13 - 
       43*T1^14*T2^13 + 29*T1^15*T2^13 - 25*T1^16*T2^13 + 6*T1^6*T2^14 + 
       2*T1^7*T2^14 + 4*T1^8*T2^14 - 16*T1^9*T2^14 + 4*T1^10*T2^14 - 
       34*T1^11*T2^14 + 22*T1^12*T2^14 - 43*T1^13*T2^14 + 22*T1^14*T2^14 - 
       16*T1^15*T2^14 + 15*T1^16*T2^14 - 7*T1^7*T2^15 + 4*T1^8*T2^15 - 
       T1^9*T2^15 + 5*T1^10*T2^15 + 15*T1^11*T2^15 - 15*T1^12*T2^15 + 
       29*T1^13*T2^15 - 16*T1^14*T2^15 + 13*T1^15*T2^15 - 10*T1^16*T2^15 + 
       5*T1^8*T2^16 - 10*T1^9*T2^16 + 15*T1^10*T2^16 - 25*T1^11*T2^16 + 
       25*T1^12*T2^16 - 25*T1^13*T2^16 + 15*T1^14*T2^16 - 10*T1^15*T2^16 + 
       5*T1^16*T2^16))/(T1^11*T2^10*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1284] -> 
  {-(((1 - T + T^2)*(2 - 5*T + 8*T^2 - 11*T^3 + 8*T^4 - 5*T^5 + 2*T^6))/T^4), 
   -((-25 + 87*T1 - 186*T1^2 + 298*T1^3 - 335*T1^4 + 298*T1^5 - 186*T1^6 + 
      87*T1^7 - 25*T1^8 + 87*T2 - 244*T1*T2 + 443*T1^2*T2 - 600*T1^3*T2 + 
      465*T1^4*T2 - 249*T1^5*T2 - 54*T1^6*T2 + 135*T1^7*T2 - 118*T1^8*T2 + 
      59*T1^9*T2 - 186*T2^2 + 443*T1*T2^2 - 747*T1^2*T2^2 + 960*T1^3*T2^2 - 
      620*T1^4*T2^2 + 363*T1^5*T2^2 + 100*T1^6*T2^2 - 60*T1^7*T2^2 + 
      33*T1^8*T2^2 + 23*T1^9*T2^2 - 66*T1^10*T2^2 + 298*T2^3 - 600*T1*T2^3 + 
      960*T1^2*T2^3 - 1187*T1^3*T2^3 + 589*T1^4*T2^3 - 430*T1^5*T2^3 - 
      169*T1^6*T2^3 - 212*T1^7*T2^3 + 247*T1^8*T2^3 - 255*T1^9*T2^3 + 
      198*T1^10*T2^3 + 10*T1^11*T2^3 - 335*T2^4 + 465*T1*T2^4 - 
      620*T1^2*T2^4 + 589*T1^3*T2^4 + 342*T1^4*T2^4 - 185*T1^5*T2^4 + 
      716*T1^6*T2^4 + 175*T1^7*T2^4 + 30*T1^8*T2^4 - 227*T1^9*T2^4 + 
      268*T1^10*T2^4 - 375*T1^11*T2^4 + 97*T1^12*T2^4 + 298*T2^5 - 
      249*T1*T2^5 + 363*T1^2*T2^5 - 430*T1^3*T2^5 - 185*T1^4*T2^5 - 
      733*T1^5*T2^5 + 316*T1^6*T2^5 - 1211*T1^7*T2^5 + 269*T1^8*T2^5 + 
      157*T1^9*T2^5 + 65*T1^10*T2^5 + 12*T1^11*T2^5 + 297*T1^12*T2^5 - 
      182*T1^13*T2^5 - 186*T2^6 - 54*T1*T2^6 + 100*T1^2*T2^6 - 
      169*T1^3*T2^6 + 716*T1^4*T2^6 + 316*T1^5*T2^6 + 377*T1^6*T2^6 + 
      127*T1^7*T2^6 + 1013*T1^8*T2^6 - 974*T1^9*T2^6 - 22*T1^10*T2^6 - 
      79*T1^11*T2^6 - 284*T1^12*T2^6 + 30*T1^13*T2^6 + 174*T1^14*T2^6 + 
      87*T2^7 + 135*T1*T2^7 - 60*T1^2*T2^7 - 212*T1^3*T2^7 + 175*T1^4*T2^7 - 
      1211*T1^5*T2^7 + 127*T1^6*T2^7 + 293*T1^7*T2^7 - 1303*T1^8*T2^7 + 
      859*T1^9*T2^7 + 790*T1^10*T2^7 - 239*T1^11*T2^7 + 529*T1^12*T2^7 - 
      15*T1^13*T2^7 - 229*T1^14*T2^7 - 109*T1^15*T2^7 - 25*T2^8 - 
      118*T1*T2^8 + 33*T1^2*T2^8 + 247*T1^3*T2^8 + 30*T1^4*T2^8 + 
      269*T1^5*T2^8 + 1013*T1^6*T2^8 - 1303*T1^7*T2^8 + 408*T1^8*T2^8 + 
      819*T1^9*T2^8 - 2647*T1^10*T2^8 + 815*T1^11*T2^8 - 726*T1^12*T2^8 - 
      107*T1^13*T2^8 + 255*T1^14*T2^8 + 246*T1^15*T2^8 + 39*T1^16*T2^8 + 
      59*T1*T2^9 + 23*T1^2*T2^9 - 255*T1^3*T2^9 - 227*T1^4*T2^9 + 
      157*T1^5*T2^9 - 974*T1^6*T2^9 + 859*T1^7*T2^9 + 819*T1^8*T2^9 - 
      777*T1^9*T2^9 + 1591*T1^10*T2^9 + 1027*T1^11*T2^9 - 257*T1^12*T2^9 + 
      514*T1^13*T2^9 - 210*T1^14*T2^9 - 341*T1^15*T2^9 - 137*T1^16*T2^9 - 
      66*T1^2*T2^10 + 198*T1^3*T2^10 + 268*T1^4*T2^10 + 65*T1^5*T2^10 - 
      22*T1^6*T2^10 + 790*T1^7*T2^10 - 2647*T1^8*T2^10 + 1591*T1^9*T2^10 - 
      2011*T1^10*T2^10 - 500*T1^11*T2^10 - 760*T1^12*T2^10 + 
      155*T1^13*T2^10 - 116*T1^14*T2^10 + 282*T1^15*T2^10 + 294*T1^16*T2^10 + 
      10*T1^3*T2^11 - 375*T1^4*T2^11 + 12*T1^5*T2^11 - 79*T1^6*T2^11 - 
      239*T1^7*T2^11 + 815*T1^8*T2^11 + 1027*T1^9*T2^11 - 500*T1^10*T2^11 + 
      1817*T1^11*T2^11 + 103*T1^12*T2^11 + 416*T1^13*T2^11 - 
      339*T1^14*T2^11 + 171*T1^15*T2^11 - 470*T1^16*T2^11 + 97*T1^4*T2^12 + 
      297*T1^5*T2^12 - 284*T1^6*T2^12 + 529*T1^7*T2^12 - 726*T1^8*T2^12 - 
      257*T1^9*T2^12 - 760*T1^10*T2^12 + 103*T1^11*T2^12 - 1038*T1^12*T2^12 - 
      287*T1^13*T2^12 + 604*T1^14*T2^12 - 543*T1^15*T2^12 + 529*T1^16*T2^12 - 
      182*T1^5*T2^13 + 30*T1^6*T2^13 - 15*T1^7*T2^13 - 107*T1^8*T2^13 + 
      514*T1^9*T2^13 + 155*T1^10*T2^13 + 416*T1^11*T2^13 - 287*T1^12*T2^13 + 
      1327*T1^13*T2^13 - 1230*T1^14*T2^13 + 828*T1^15*T2^13 - 
      470*T1^16*T2^13 + 174*T1^6*T2^14 - 229*T1^7*T2^14 + 255*T1^8*T2^14 - 
      210*T1^9*T2^14 - 116*T1^10*T2^14 - 339*T1^11*T2^14 + 604*T1^12*T2^14 - 
      1230*T1^13*T2^14 + 1035*T1^14*T2^14 - 649*T1^15*T2^14 + 
      294*T1^16*T2^14 - 109*T1^7*T2^15 + 246*T1^8*T2^15 - 341*T1^9*T2^15 + 
      282*T1^10*T2^15 + 171*T1^11*T2^15 - 543*T1^12*T2^15 + 828*T1^13*T2^15 - 
      649*T1^14*T2^15 + 372*T1^15*T2^15 - 137*T1^16*T2^15 + 39*T1^8*T2^16 - 
      137*T1^9*T2^16 + 294*T1^10*T2^16 - 470*T1^11*T2^16 + 529*T1^12*T2^16 - 
      470*T1^13*T2^16 + 294*T1^14*T2^16 - 137*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1285] -> 
  {-(((1 - T + T^2)*(2 - 4*T + 5*T^2 - 7*T^3 + 5*T^4 - 4*T^5 + 2*T^6))/T^4), 
   -((-25 + 75*T1 - 138*T1^2 + 202*T1^3 - 215*T1^4 + 202*T1^5 - 138*T1^6 + 
      75*T1^7 - 25*T1^8 + 75*T2 - 174*T1*T2 + 261*T1^2*T2 - 324*T1^3*T2 + 
      231*T1^4*T2 - 165*T1^5*T2 + 57*T1^7*T2 - 78*T1^8*T2 + 51*T1^9*T2 - 
      138*T2^2 + 261*T1*T2^2 - 357*T1^2*T2^2 + 436*T1^3*T2^2 - 
      260*T1^4*T2^2 + 255*T1^5*T2^2 + 4*T1^6*T2^2 - 4*T1^7*T2^2 + 
      39*T1^8*T2^2 - 3*T1^9*T2^2 - 50*T1^10*T2^2 + 202*T2^3 - 324*T1*T2^3 + 
      436*T1^2*T2^3 - 558*T1^3*T2^3 + 316*T1^4*T2^3 - 414*T1^5*T2^3 - 
      110*T1^7*T2^3 + 48*T1^8*T2^3 - 92*T1^9*T2^3 + 120*T1^10*T2^3 + 
      10*T1^11*T2^3 - 215*T2^4 + 231*T1*T2^4 - 260*T1^2*T2^4 + 
      316*T1^3*T2^4 + 52*T1^4*T2^4 + 129*T1^5*T2^4 + 412*T1^6*T2^4 - 
      79*T1^7*T2^4 + 172*T1^8*T2^4 - 132*T1^9*T2^4 + 84*T1^10*T2^4 - 
      201*T1^11*T2^4 + 57*T1^12*T2^4 + 202*T2^5 - 165*T1*T2^5 + 
      255*T1^2*T2^5 - 414*T1^3*T2^5 + 129*T1^4*T2^5 - 494*T1^5*T2^5 - 
      99*T1^6*T2^5 - 365*T1^7*T2^5 + 100*T1^8*T2^5 - 75*T1^9*T2^5 + 
      188*T1^10*T2^5 - 21*T1^11*T2^5 + 183*T1^12*T2^5 - 118*T1^13*T2^5 - 
      138*T2^6 + 4*T1^2*T2^6 + 412*T1^4*T2^6 - 99*T1^5*T2^6 + 693*T1^6*T2^6 - 
      79*T1^7*T2^6 + 285*T1^8*T2^6 - 191*T1^9*T2^6 - 122*T1^10*T2^6 - 
      132*T1^11*T2^6 - 100*T1^12*T2^6 - 24*T1^13*T2^6 + 126*T1^14*T2^6 + 
      75*T2^7 + 57*T1*T2^7 - 4*T1^2*T2^7 - 110*T1^3*T2^7 - 79*T1^4*T2^7 - 
      365*T1^5*T2^7 - 79*T1^6*T2^7 - 360*T1^7*T2^7 - 18*T1^8*T2^7 + 
      137*T1^9*T2^7 + 249*T1^10*T2^7 + 141*T1^11*T2^7 + 228*T1^12*T2^7 - 
      4*T1^13*T2^7 - 99*T1^14*T2^7 - 93*T1^15*T2^7 - 25*T2^8 - 78*T1*T2^8 + 
      39*T1^2*T2^8 + 48*T1^3*T2^8 + 172*T1^4*T2^8 + 100*T1^5*T2^8 + 
      285*T1^6*T2^8 - 18*T1^7*T2^8 + 72*T1^8*T2^8 - 34*T1^9*T2^8 - 
      679*T1^10*T2^8 + 124*T1^11*T2^8 - 488*T1^12*T2^8 + 32*T1^13*T2^8 + 
      63*T1^14*T2^8 + 162*T1^15*T2^8 + 39*T1^16*T2^8 + 51*T1*T2^9 - 
      3*T1^2*T2^9 - 92*T1^3*T2^9 - 132*T1^4*T2^9 - 75*T1^5*T2^9 - 
      191*T1^6*T2^9 + 137*T1^7*T2^9 - 34*T1^8*T2^9 + 308*T1^9*T2^9 + 
      353*T1^10*T2^9 + 423*T1^11*T2^9 + 145*T1^12*T2^9 + 206*T1^13*T2^9 - 
      92*T1^14*T2^9 - 159*T1^15*T2^9 - 117*T1^16*T2^9 - 50*T1^2*T2^10 + 
      120*T1^3*T2^10 + 84*T1^4*T2^10 + 188*T1^5*T2^10 - 122*T1^6*T2^10 + 
      249*T1^7*T2^10 - 679*T1^8*T2^10 + 353*T1^9*T2^10 - 1087*T1^10*T2^10 + 
      157*T1^11*T2^10 - 656*T1^12*T2^10 + 56*T1^13*T2^10 - 20*T1^14*T2^10 + 
      96*T1^15*T2^10 + 214*T1^16*T2^10 + 10*T1^3*T2^11 - 201*T1^4*T2^11 - 
      21*T1^5*T2^11 - 132*T1^6*T2^11 + 141*T1^7*T2^11 + 124*T1^8*T2^11 + 
      423*T1^9*T2^11 + 157*T1^10*T2^11 + 718*T1^11*T2^11 - 63*T1^12*T2^11 + 
      470*T1^13*T2^11 - 297*T1^14*T2^11 + 147*T1^15*T2^11 - 310*T1^16*T2^11 + 
      57*T1^4*T2^12 + 183*T1^5*T2^12 - 100*T1^6*T2^12 + 228*T1^7*T2^12 - 
      488*T1^8*T2^12 + 145*T1^9*T2^12 - 656*T1^10*T2^12 - 63*T1^11*T2^12 - 
      368*T1^12*T2^12 - 220*T1^13*T2^12 + 244*T1^14*T2^12 - 249*T1^15*T2^12 + 
      329*T1^16*T2^12 - 118*T1^5*T2^13 - 24*T1^6*T2^13 - 4*T1^7*T2^13 + 
      32*T1^8*T2^13 + 206*T1^9*T2^13 + 56*T1^10*T2^13 + 470*T1^11*T2^13 - 
      220*T1^12*T2^13 + 638*T1^13*T2^13 - 532*T1^14*T2^13 + 420*T1^15*T2^13 - 
      310*T1^16*T2^13 + 126*T1^6*T2^14 - 99*T1^7*T2^14 + 63*T1^8*T2^14 - 
      92*T1^9*T2^14 - 20*T1^10*T2^14 - 297*T1^11*T2^14 + 244*T1^12*T2^14 - 
      532*T1^13*T2^14 + 459*T1^14*T2^14 - 363*T1^15*T2^14 + 214*T1^16*T2^14 - 
      93*T1^7*T2^15 + 162*T1^8*T2^15 - 159*T1^9*T2^15 + 96*T1^10*T2^15 + 
      147*T1^11*T2^15 - 249*T1^12*T2^15 + 420*T1^13*T2^15 - 363*T1^14*T2^15 + 
      258*T1^15*T2^15 - 117*T1^16*T2^15 + 39*T1^8*T2^16 - 117*T1^9*T2^16 + 
      214*T1^10*T2^16 - 310*T1^11*T2^16 + 329*T1^12*T2^16 - 310*T1^13*T2^16 + 
      214*T1^14*T2^16 - 117*T1^15*T2^16 + 39*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, Alternating, 1286] -> 
  {-(((1 - T + T^2)*(3 - 4*T + T^2 - 4*T^3 + 3*T^4))/T^3), 
   -((-36 + 86*T1 - 100*T1^2 + 114*T1^3 - 100*T1^4 + 86*T1^5 - 36*T1^6 + 
      86*T2 - 183*T1*T2 + 181*T1^2*T2 - 202*T1^3*T2 + 155*T1^4*T2 - 
      134*T1^5*T2 + 27*T1^6*T2 + 23*T1^7*T2 - 100*T2^2 + 181*T1*T2^2 - 
      119*T1^2*T2^2 + 120*T1^3*T2^2 - 37*T1^4*T2^2 + 24*T1^5*T2^2 + 
      121*T1^6*T2^2 - 155*T1^7*T2^2 + 44*T1^8*T2^2 + 114*T2^3 - 202*T1*T2^3 + 
      120*T1^2*T2^3 - 173*T1^3*T2^3 + 124*T1^4*T2^3 - 139*T1^5*T2^3 - 
      41*T1^6*T2^3 + 32*T1^7*T2^3 + 197*T1^8*T2^3 - 129*T1^9*T2^3 - 
      100*T2^4 + 155*T1*T2^4 - 37*T1^2*T2^4 + 124*T1^3*T2^4 - 37*T1^4*T2^4 - 
      9*T1^5*T2^4 + 191*T1^6*T2^4 - 110*T1^7*T2^4 - 151*T1^8*T2^4 - 
      139*T1^9*T2^4 + 188*T1^10*T2^4 + 86*T2^5 - 134*T1*T2^5 + 24*T1^2*T2^5 - 
      139*T1^3*T2^5 - 9*T1^4*T2^5 + 69*T1^5*T2^5 - 177*T1^6*T2^5 + 
      87*T1^7*T2^5 + 182*T1^8*T2^5 + 144*T1^9*T2^5 + 97*T1^10*T2^5 - 
      229*T1^11*T2^5 - 36*T2^6 + 27*T1*T2^6 + 121*T1^2*T2^6 - 41*T1^3*T2^6 + 
      191*T1^4*T2^6 - 177*T1^5*T2^6 + 36*T1^6*T2^6 + 169*T1^7*T2^6 - 
      501*T1^8*T2^6 + 145*T1^9*T2^6 - 435*T1^10*T2^6 + 237*T1^11*T2^6 + 
      126*T1^12*T2^6 + 23*T1*T2^7 - 155*T1^2*T2^7 + 32*T1^3*T2^7 - 
      110*T1^4*T2^7 + 87*T1^5*T2^7 + 169*T1^6*T2^7 - 77*T1^7*T2^7 + 
      183*T1^8*T2^7 + 211*T1^9*T2^7 + 152*T1^10*T2^7 + 76*T1^11*T2^7 - 
      292*T1^12*T2^7 + 44*T1^2*T2^8 + 197*T1^3*T2^8 - 151*T1^4*T2^8 + 
      182*T1^5*T2^8 - 501*T1^6*T2^8 + 183*T1^7*T2^8 - 273*T1^8*T2^8 - 
      52*T1^9*T2^8 - 265*T1^10*T2^8 - 97*T1^11*T2^8 + 332*T1^12*T2^8 - 
      129*T1^3*T2^9 - 139*T1^4*T2^9 + 144*T1^5*T2^9 + 145*T1^6*T2^9 + 
      211*T1^7*T2^9 - 52*T1^8*T2^9 + 277*T1^9*T2^9 + 56*T1^10*T2^9 + 
      260*T1^11*T2^9 - 372*T1^12*T2^9 + 188*T1^4*T2^10 + 97*T1^5*T2^10 - 
      435*T1^6*T2^10 + 152*T1^7*T2^10 - 265*T1^8*T2^10 + 56*T1^9*T2^10 - 
      195*T1^10*T2^10 - 239*T1^11*T2^10 + 332*T1^12*T2^10 - 229*T1^5*T2^11 + 
      237*T1^6*T2^11 + 76*T1^7*T2^11 - 97*T1^8*T2^11 + 260*T1^9*T2^11 - 
      239*T1^10*T2^11 + 447*T1^11*T2^11 - 292*T1^12*T2^11 + 126*T1^6*T2^12 - 
      292*T1^7*T2^12 + 332*T1^8*T2^12 - 372*T1^9*T2^12 + 332*T1^10*T2^12 - 
      292*T1^11*T2^12 + 126*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, Alternating, 1287] -> {-((9 - 19*T + 9*T^2)/T), 
   (-9*(9 - 19*T1 + 9*T1^2)*(1 + T1*T2)*(9 - 19*T2 + 9*T2^2))/(T1^3*T2^2)}, 
 Knot[12, Alternating, 1288] -> 
  {-(((1 - T + T^2)^2*(1 - T + 2*T^2 - 5*T^3 + 2*T^4 - T^5 + T^6))/T^5), 
   -(((1 - T1 + T1^2)^2*(1 - T1 + 2*T1^2 - 5*T1^3 + 2*T1^4 - T1^5 + T1^6)*
      (1 + T1*T2)*(1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*
      (1 - T2 + 2*T2^2 - 5*T2^3 + 2*T2^4 - T2^5 + T2^6)*
      (5 - 7*T1*T2 + 14*T1^2*T2^2 - 19*T1^3*T2^3 + 14*T1^4*T2^4 - 
       7*T1^5*T2^5 + 5*T1^6*T2^6))/(T1^11*T2^10))}, 
 Knot[12, NonAlternating, 1] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 39*T1^2 + 57*T1^3 - 39*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 146*T1^2*T2 - 157*T1^3*T2 + 3*T1^4*T2 + 56*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 39*T2^2 + 146*T1*T2^2 - 283*T1^2*T2^2 + 
      187*T1^3*T2^2 + 257*T1^4*T2^2 - 177*T1^5*T2^2 + 29*T1^6*T2^2 + 
      16*T1^7*T2^2 - 13*T1^8*T2^2 + 57*T2^3 - 157*T1*T2^3 + 187*T1^2*T2^3 + 
      232*T1^3*T2^3 - 913*T1^4*T2^3 + 141*T1^5*T2^3 + 202*T1^6*T2^3 - 
      164*T1^7*T2^3 + 63*T1^8*T2^3 - 39*T2^4 + 3*T1*T2^4 + 257*T1^2*T2^4 - 
      913*T1^3*T2^4 + 1059*T1^4*T2^4 + 967*T1^5*T2^4 - 977*T1^6*T2^4 + 
      379*T1^7*T2^4 - 17*T1^8*T2^4 - 67*T1^9*T2^4 + 13*T1^10*T2^4 + 15*T2^5 + 
      56*T1*T2^5 - 177*T1^2*T2^5 + 141*T1^3*T2^5 + 967*T1^4*T2^5 - 
      3115*T1^5*T2^5 + 1429*T1^6*T2^5 + 96*T1^7*T2^5 - 437*T1^8*T2^5 + 
      226*T1^9*T2^5 - 14*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      29*T1^2*T2^6 + 202*T1^3*T2^6 - 977*T1^4*T2^6 + 1429*T1^5*T2^6 + 
      1164*T1^6*T2^6 - 2133*T1^7*T2^6 + 1257*T1^8*T2^6 - 302*T1^9*T2^6 - 
      55*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      16*T1^2*T2^7 - 164*T1^3*T2^7 + 379*T1^4*T2^7 + 96*T1^5*T2^7 - 
      2133*T1^6*T2^7 + 2411*T1^7*T2^7 - 775*T1^8*T2^7 - 199*T1^9*T2^7 + 
      239*T1^10*T2^7 - 54*T1^11*T2^7 - 15*T1^12*T2^7 - 13*T1^2*T2^8 + 
      63*T1^3*T2^8 - 17*T1^4*T2^8 - 437*T1^5*T2^8 + 1257*T1^6*T2^8 - 
      775*T1^7*T2^8 - 779*T1^8*T2^8 + 855*T1^9*T2^8 - 291*T1^10*T2^8 - 
      7*T1^11*T2^8 + 39*T1^12*T2^8 - 67*T1^4*T2^9 + 226*T1^5*T2^9 - 
      302*T1^6*T2^9 - 199*T1^7*T2^9 + 855*T1^8*T2^9 - 332*T1^9*T2^9 - 
      125*T1^10*T2^9 + 153*T1^11*T2^9 - 57*T1^12*T2^9 + 13*T1^4*T2^10 - 
      14*T1^5*T2^10 - 55*T1^6*T2^10 + 239*T1^7*T2^10 - 291*T1^8*T2^10 - 
      125*T1^9*T2^10 + 257*T1^10*T2^10 - 144*T1^11*T2^10 + 39*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 54*T1^7*T2^11 - 7*T1^8*T2^11 + 
      153*T1^9*T2^11 - 144*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 39*T1^8*T2^12 - 57*T1^9*T2^12 + 
      39*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 2] -> 
  {-((1 - 5*T + 11*T^2 - 16*T^3 + 17*T^4 - 16*T^5 + 11*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 55*T1^2 + 80*T1^3 - 85*T1^4 + 80*T1^5 - 55*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 175*T1^2*T2 - 180*T1^3*T2 + 
      105*T1^4*T2 - 60*T1^5*T2 - 45*T1^6*T2 + 95*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 55*T2^2 + 175*T1*T2^2 - 139*T1^2*T2^2 - 53*T1^3*T2^2 + 
      301*T1^4*T2^2 - 293*T1^5*T2^2 + 433*T1^6*T2^2 - 295*T1^7*T2^2 + 
      81*T1^8*T2^2 + 65*T1^9*T2^2 - 33*T1^10*T2^2 + 80*T2^3 - 180*T1*T2^3 - 
      53*T1^2*T2^3 + 349*T1^3*T2^3 - 517*T1^4*T2^3 + 186*T1^5*T2^3 - 
      333*T1^6*T2^3 - 88*T1^7*T2^3 + 285*T1^8*T2^3 - 251*T1^9*T2^3 + 
      5*T1^10*T2^3 + 32*T1^11*T2^3 - 85*T2^4 + 105*T1*T2^4 + 301*T1^2*T2^4 - 
      517*T1^3*T2^4 + 467*T1^4*T2^4 + 99*T1^5*T2^4 + 247*T1^6*T2^4 + 
      311*T1^7*T2^4 - 205*T1^8*T2^4 - 5*T1^9*T2^4 + 249*T1^10*T2^4 - 
      75*T1^11*T2^4 - 17*T1^12*T2^4 + 80*T2^5 - 60*T1*T2^5 - 293*T1^2*T2^5 + 
      186*T1^3*T2^5 + 99*T1^4*T2^5 - 611*T1^5*T2^5 - 112*T1^6*T2^5 - 
      315*T1^7*T2^5 - 109*T1^8*T2^5 + 258*T1^9*T2^5 - 283*T1^10*T2^5 - 
      74*T1^11*T2^5 + 85*T1^12*T2^5 - 55*T2^6 - 45*T1*T2^6 + 433*T1^2*T2^6 - 
      333*T1^3*T2^6 + 247*T1^4*T2^6 - 112*T1^5*T2^6 + 1004*T1^6*T2^6 - 
      400*T1^7*T2^6 + 388*T1^8*T2^6 - 162*T1^9*T2^6 - 11*T1^10*T2^6 + 
      261*T1^11*T2^6 - 67*T1^12*T2^6 - 55*T1^13*T2^6 + 11*T1^14*T2^6 + 
      25*T2^7 + 95*T1*T2^7 - 295*T1^2*T2^7 - 88*T1^3*T2^7 + 311*T1^4*T2^7 - 
      315*T1^5*T2^7 - 400*T1^6*T2^7 - 428*T1^7*T2^7 + 662*T1^8*T2^7 - 
      382*T1^9*T2^7 + 194*T1^10*T2^7 - 60*T1^11*T2^7 - 185*T1^12*T2^7 + 
      167*T1^13*T2^7 - 5*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 
      81*T1^2*T2^8 + 285*T1^3*T2^8 - 205*T1^4*T2^8 - 109*T1^5*T2^8 + 
      388*T1^6*T2^8 + 662*T1^7*T2^8 - 744*T1^8*T2^8 - 130*T1^9*T2^8 + 
      188*T1^10*T2^8 - 311*T1^11*T2^8 + 295*T1^12*T2^8 - 101*T1^13*T2^8 - 
      97*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      65*T1^2*T2^9 - 251*T1^3*T2^9 - 5*T1^4*T2^9 + 258*T1^5*T2^9 - 
      162*T1^6*T2^9 - 382*T1^7*T2^9 - 130*T1^8*T2^9 + 960*T1^9*T2^9 - 
      364*T1^10*T2^9 + 347*T1^11*T2^9 - 113*T1^12*T2^9 - 102*T1^13*T2^9 + 
      211*T1^14*T2^9 - 35*T1^15*T2^9 - 15*T1^16*T2^9 - 33*T1^2*T2^10 + 
      5*T1^3*T2^10 + 249*T1^4*T2^10 - 283*T1^5*T2^10 - 11*T1^6*T2^10 + 
      194*T1^7*T2^10 + 188*T1^8*T2^10 - 364*T1^9*T2^10 - 428*T1^10*T2^10 + 
      144*T1^11*T2^10 - 269*T1^12*T2^10 + 311*T1^13*T2^10 - 251*T1^14*T2^10 - 
      5*T1^15*T2^10 + 33*T1^16*T2^10 + 32*T1^3*T2^11 - 75*T1^4*T2^11 - 
      74*T1^5*T2^11 + 261*T1^6*T2^11 - 60*T1^7*T2^11 - 311*T1^8*T2^11 + 
      347*T1^9*T2^11 + 144*T1^10*T2^11 + 191*T1^11*T2^11 + 99*T1^12*T2^11 - 
      208*T1^13*T2^11 + 145*T1^14*T2^11 + 70*T1^15*T2^11 - 48*T1^16*T2^11 - 
      17*T1^4*T2^12 + 85*T1^5*T2^12 - 67*T1^6*T2^12 - 185*T1^7*T2^12 + 
      295*T1^8*T2^12 - 113*T1^9*T2^12 - 269*T1^10*T2^12 + 99*T1^11*T2^12 - 
      377*T1^12*T2^12 + 327*T1^13*T2^12 - 119*T1^14*T2^12 - 95*T1^15*T2^12 + 
      51*T1^16*T2^12 - 55*T1^6*T2^13 + 167*T1^7*T2^13 - 101*T1^8*T2^13 - 
      102*T1^9*T2^13 + 311*T1^10*T2^13 - 208*T1^11*T2^13 + 327*T1^12*T2^13 - 
      165*T1^13*T2^13 - 31*T1^14*T2^13 + 130*T1^15*T2^13 - 48*T1^16*T2^13 + 
      11*T1^6*T2^14 - 5*T1^7*T2^14 - 97*T1^8*T2^14 + 211*T1^9*T2^14 - 
      251*T1^10*T2^14 + 145*T1^11*T2^14 - 119*T1^12*T2^14 - 31*T1^13*T2^14 + 
      123*T1^14*T2^14 - 115*T1^15*T2^14 + 33*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 35*T1^9*T2^15 - 5*T1^10*T2^15 + 70*T1^11*T2^15 - 
      95*T1^12*T2^15 + 130*T1^13*T2^15 - 115*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 33*T1^10*T2^16 - 
      48*T1^11*T2^16 + 51*T1^12*T2^16 - 48*T1^13*T2^16 + 33*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 3] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 51*T1^2 + 69*T1^3 - 51*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      131*T1*T2 + 255*T1^2*T2 - 241*T1^3*T2 + 39*T1^4*T2 + 87*T1^5*T2 - 
      75*T1^6*T2 + 14*T1^7*T2 - 51*T2^2 + 255*T1*T2^2 - 216*T1^2*T2^2 - 
      313*T1^3*T2^2 + 984*T1^4*T2^2 - 857*T1^5*T2^2 + 328*T1^6*T2^2 + 
      17*T1^7*T2^2 - 17*T1^8*T2^2 + 69*T2^3 - 241*T1*T2^3 - 313*T1^2*T2^3 + 
      1524*T1^3*T2^3 - 2164*T1^4*T2^3 + 940*T1^5*T2^3 + 324*T1^6*T2^3 - 
      534*T1^7*T2^3 + 123*T1^8*T2^3 - 51*T2^4 + 39*T1*T2^4 + 984*T1^2*T2^4 - 
      2164*T1^3*T2^4 + 1493*T1^4*T2^4 + 1295*T1^5*T2^4 - 2571*T1^6*T2^4 + 
      1424*T1^7*T2^4 - 114*T1^8*T2^4 - 115*T1^9*T2^4 + 17*T1^10*T2^4 + 
      21*T2^5 + 87*T1*T2^5 - 857*T1^2*T2^5 + 940*T1^3*T2^5 + 1295*T1^4*T2^5 - 
      3971*T1^5*T2^5 + 3381*T1^6*T2^5 - 116*T1^7*T2^5 - 1196*T1^8*T2^5 + 
      656*T1^9*T2^5 - 25*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 75*T1*T2^6 + 
      328*T1^2*T2^6 + 324*T1^3*T2^6 - 2571*T1^4*T2^6 + 3381*T1^5*T2^6 - 
      936*T1^6*T2^6 - 2773*T1^7*T2^6 + 2271*T1^8*T2^6 - 528*T1^9*T2^6 - 
      364*T1^10*T2^6 + 79*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      17*T1^2*T2^7 - 534*T1^3*T2^7 + 1424*T1^4*T2^7 - 116*T1^5*T2^7 - 
      2773*T1^6*T2^7 + 4579*T1^7*T2^7 - 1527*T1^8*T2^7 - 712*T1^9*T2^7 + 
      979*T1^10*T2^7 - 95*T1^11*T2^7 - 21*T1^12*T2^7 - 17*T1^2*T2^8 + 
      123*T1^3*T2^8 - 114*T1^4*T2^8 - 1196*T1^5*T2^8 + 2271*T1^6*T2^8 - 
      1527*T1^7*T2^8 - 1793*T1^8*T2^8 + 2392*T1^9*T2^8 - 1212*T1^10*T2^8 - 
      31*T1^11*T2^8 + 51*T1^12*T2^8 - 115*T1^4*T2^9 + 656*T1^5*T2^9 - 
      528*T1^6*T2^9 - 712*T1^7*T2^9 + 2392*T1^8*T2^9 - 1728*T1^9*T2^9 + 
      435*T1^10*T2^9 + 249*T1^11*T2^9 - 69*T1^12*T2^9 + 17*T1^4*T2^10 - 
      25*T1^5*T2^10 - 364*T1^6*T2^10 + 979*T1^7*T2^10 - 1212*T1^8*T2^10 + 
      435*T1^9*T2^10 + 180*T1^10*T2^10 - 263*T1^11*T2^10 + 51*T1^12*T2^10 - 
      14*T1^5*T2^11 + 79*T1^6*T2^11 - 95*T1^7*T2^11 - 31*T1^8*T2^11 + 
      249*T1^9*T2^11 - 263*T1^10*T2^11 + 135*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 51*T1^8*T2^12 - 69*T1^9*T2^12 + 
      51*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 4] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 301*T1^2*T2 - 302*T1^3*T2 + 20*T1^4*T2 + 119*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 301*T1*T2^2 - 416*T1^2*T2^2 - 
      183*T1^3*T2^2 + 1210*T1^4*T2^2 - 943*T1^5*T2^2 + 268*T1^6*T2^2 + 
      35*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 302*T1*T2^3 - 183*T1^2*T2^3 + 
      1904*T1^3*T2^3 - 3142*T1^4*T2^3 + 870*T1^5*T2^3 + 714*T1^6*T2^3 - 
      658*T1^7*T2^3 + 132*T1^8*T2^3 - 57*T2^4 + 20*T1*T2^4 + 1210*T1^2*T2^4 - 
      3142*T1^3*T2^4 + 2490*T1^4*T2^4 + 2736*T1^5*T2^4 - 3702*T1^6*T2^4 + 
      1610*T1^7*T2^4 + 8*T1^8*T2^4 - 134*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 119*T1*T2^5 - 943*T1^2*T2^5 + 870*T1^3*T2^5 + 
      2736*T1^4*T2^5 - 8157*T1^5*T2^5 + 5347*T1^6*T2^5 - 95*T1^7*T2^5 - 
      1662*T1^8*T2^5 + 672*T1^9*T2^5 - 35*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 268*T1^2*T2^6 + 714*T1^3*T2^6 - 3702*T1^4*T2^6 + 
      5347*T1^5*T2^6 + 492*T1^6*T2^6 - 5607*T1^7*T2^6 + 4116*T1^8*T2^6 - 
      778*T1^9*T2^6 - 268*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 35*T1^2*T2^7 - 658*T1^3*T2^7 + 1610*T1^4*T2^7 - 
      95*T1^5*T2^7 - 5607*T1^6*T2^7 + 7897*T1^7*T2^7 - 2926*T1^8*T2^7 - 
      922*T1^9*T2^7 + 957*T1^10*T2^7 - 119*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 132*T1^3*T2^8 + 8*T1^4*T2^8 - 1662*T1^5*T2^8 + 
      4116*T1^6*T2^8 - 2926*T1^7*T2^8 - 2076*T1^8*T2^8 + 3090*T1^9*T2^8 - 
      1194*T1^10*T2^8 - 22*T1^11*T2^8 + 57*T1^12*T2^8 - 134*T1^4*T2^9 + 
      672*T1^5*T2^9 - 778*T1^6*T2^9 - 922*T1^7*T2^9 + 3090*T1^8*T2^9 - 
      1968*T1^9*T2^9 + 197*T1^10*T2^9 + 300*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 35*T1^5*T2^10 - 268*T1^6*T2^10 + 957*T1^7*T2^10 - 
      1194*T1^8*T2^10 + 197*T1^9*T2^10 + 416*T1^10*T2^10 - 301*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 119*T1^7*T2^11 - 
      22*T1^8*T2^11 + 300*T1^9*T2^11 - 301*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 5] -> 
  {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 42*T1^2 + 58*T1^3 - 42*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 244*T1^2*T2 - 259*T1^3*T2 + 91*T1^4*T2 + 48*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 42*T2^2 + 244*T1*T2^2 - 523*T1^2*T2^2 + 
     180*T1^3*T2^2 + 557*T1^4*T2^2 - 744*T1^5*T2^2 + 317*T1^6*T2^2 - 
     50*T1^7*T2^2 + 58*T2^3 - 259*T1*T2^3 + 180*T1^2*T2^3 + 1272*T1^3*T2^3 - 
     2814*T1^4*T2^3 + 2100*T1^5*T2^3 - 234*T1^6*T2^3 - 471*T1^7*T2^3 + 
     203*T1^8*T2^3 - 29*T1^9*T2^3 - 42*T2^4 + 91*T1*T2^4 + 557*T1^2*T2^4 - 
     2814*T1^3*T2^4 + 4258*T1^4*T2^4 - 842*T1^5*T2^4 - 2994*T1^6*T2^4 + 
     2870*T1^7*T2^4 - 521*T1^8*T2^4 - 91*T1^9*T2^4 + 42*T1^10*T2^4 + 
     14*T2^5 + 48*T1*T2^5 - 744*T1^2*T2^5 + 2100*T1^3*T2^5 - 842*T1^4*T2^5 - 
     7415*T1^5*T2^5 + 10967*T1^6*T2^5 - 5399*T1^7*T2^5 - 1274*T1^8*T2^5 + 
     999*T1^9*T2^5 - 148*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     317*T1^2*T2^6 - 234*T1^3*T2^6 - 2994*T1^4*T2^6 + 10967*T1^5*T2^6 - 
     7176*T1^6*T2^6 - 4559*T1^7*T2^6 + 9088*T1^8*T2^6 - 2466*T1^9*T2^6 - 
     47*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     50*T1^2*T2^7 - 471*T1^3*T2^7 + 2870*T1^4*T2^7 - 5399*T1^5*T2^7 - 
     4559*T1^6*T2^7 + 13823*T1^7*T2^7 - 9956*T1^8*T2^7 - 504*T1^9*T2^7 + 
     1272*T1^10*T2^7 - 246*T1^11*T2^7 - 28*T1^12*T2^7 + 203*T1^3*T2^8 - 
     521*T1^4*T2^8 - 1274*T1^5*T2^8 + 9088*T1^6*T2^8 - 9956*T1^7*T2^8 + 
     1836*T1^8*T2^8 + 4410*T1^9*T2^8 - 1599*T1^10*T2^8 + 21*T1^11*T2^8 + 
     84*T1^12*T2^8 - 29*T1^3*T2^9 - 91*T1^4*T2^9 + 999*T1^5*T2^9 - 
     2466*T1^6*T2^9 - 504*T1^7*T2^9 + 4410*T1^8*T2^9 - 3972*T1^9*T2^9 + 
     348*T1^10*T2^9 + 371*T1^11*T2^9 - 116*T1^12*T2^9 + 42*T1^4*T2^10 - 
     148*T1^5*T2^10 - 47*T1^6*T2^10 + 1272*T1^7*T2^10 - 1599*T1^8*T2^10 + 
     348*T1^9*T2^10 + 793*T1^10*T2^10 - 442*T1^11*T2^10 + 84*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 246*T1^7*T2^11 + 21*T1^8*T2^11 + 
     371*T1^9*T2^11 - 442*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 84*T1^8*T2^12 - 116*T1^9*T2^12 + 
     84*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 6] -> 
  {(1 - 5*T + 9*T^2 - 6*T^3 + 3*T^4 - 6*T^5 + 9*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 54*T1^2 + 36*T1^3 - 18*T1^4 + 36*T1^5 - 54*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 145*T1^2*T2 + 45*T1^3*T2 - 60*T1^4*T2 - 
     105*T1^5*T2 + 120*T1^6*T2 + 75*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     54*T2^2 + 145*T1*T2^2 + 102*T1^2*T2^2 - 617*T1^3*T2^2 + 263*T1^4*T2^2 + 
     164*T1^5*T2^2 + 155*T1^6*T2^2 - 635*T1^7*T2^2 + 246*T1^8*T2^2 + 
     55*T1^9*T2^2 - 36*T1^10*T2^2 + 36*T2^3 + 45*T1*T2^3 - 617*T1^2*T2^3 + 
     915*T1^3*T2^3 + 282*T1^4*T2^3 - 454*T1^5*T2^3 - 589*T1^6*T2^3 + 
     813*T1^7*T2^3 + 411*T1^8*T2^3 - 509*T1^9*T2^3 + 90*T1^10*T2^3 + 
     18*T1^11*T2^3 - 18*T2^4 - 60*T1*T2^4 + 263*T1^2*T2^4 + 282*T1^3*T2^4 - 
     1569*T1^4*T2^4 + 766*T1^5*T2^4 + 313*T1^6*T2^4 + 394*T1^7*T2^4 - 
     1605*T1^8*T2^4 + 690*T1^9*T2^4 + 71*T1^10*T2^4 - 60*T1^11*T2^4 - 
     6*T1^12*T2^4 + 36*T2^5 - 105*T1*T2^5 + 164*T1^2*T2^5 - 454*T1^3*T2^5 + 
     766*T1^4*T2^5 + 95*T1^5*T2^5 - 278*T1^6*T2^5 - 509*T1^7*T2^5 + 
     755*T1^8*T2^5 + 235*T1^9*T2^5 - 355*T1^10*T2^5 + 65*T1^11*T2^5 + 
     6*T1^13*T2^5 - 54*T2^6 + 120*T1*T2^6 + 155*T1^2*T2^6 - 589*T1^3*T2^6 + 
     313*T1^4*T2^6 - 278*T1^5*T2^6 + 329*T1^6*T2^6 - 325*T1^7*T2^6 + 
     317*T1^8*T2^6 - 416*T1^9*T2^6 + 187*T1^10*T2^6 - 103*T1^11*T2^6 + 
     95*T1^12*T2^6 - 30*T1^13*T2^6 + 30*T2^7 + 75*T1*T2^7 - 635*T1^2*T2^7 + 
     813*T1^3*T2^7 + 394*T1^4*T2^7 - 509*T1^5*T2^7 - 325*T1^6*T2^7 + 
     550*T1^7*T2^7 - 122*T1^8*T2^7 - 91*T1^9*T2^7 - 92*T1^10*T2^7 + 
     289*T1^11*T2^7 - 210*T1^12*T2^7 + 13*T1^13*T2^7 + 25*T1^14*T2^7 - 
     5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 246*T1^2*T2^8 + 411*T1^3*T2^8 - 
     1605*T1^4*T2^8 + 755*T1^5*T2^8 + 317*T1^6*T2^8 - 122*T1^7*T2^8 - 
     264*T1^8*T2^8 + 282*T1^9*T2^8 + 65*T1^10*T2^8 - 211*T1^11*T2^8 + 
     75*T1^12*T2^8 + 165*T1^13*T2^8 - 108*T1^14*T2^8 + 15*T1^15*T2^8 + 
     2*T1^16*T2^8 + 25*T1*T2^9 + 55*T1^2*T2^9 - 509*T1^3*T2^9 + 
     690*T1^4*T2^9 + 235*T1^5*T2^9 - 416*T1^6*T2^9 - 91*T1^7*T2^9 + 
     282*T1^8*T2^9 - 390*T1^9*T2^9 + 143*T1^10*T2^9 + T1^11*T2^9 + 
     130*T1^12*T2^9 - 333*T1^13*T2^9 + 139*T1^14*T2^9 + 5*T1^15*T2^9 - 
     10*T1^16*T2^9 - 36*T1^2*T2^10 + 90*T1^3*T2^10 + 71*T1^4*T2^10 - 
     355*T1^5*T2^10 + 187*T1^6*T2^10 - 92*T1^7*T2^10 + 65*T1^8*T2^10 + 
     143*T1^9*T2^10 + 53*T1^10*T2^10 - 230*T1^11*T2^10 + 61*T1^12*T2^10 + 
     131*T1^13*T2^10 + 11*T1^14*T2^10 - 60*T1^15*T2^10 + 18*T1^16*T2^10 + 
     18*T1^3*T2^11 - 60*T1^4*T2^11 + 65*T1^5*T2^11 - 103*T1^6*T2^11 + 
     289*T1^7*T2^11 - 211*T1^8*T2^11 + T1^9*T2^11 - 230*T1^10*T2^11 + 
     449*T1^11*T2^11 - 242*T1^12*T2^11 - 4*T1^13*T2^11 - 34*T1^14*T2^11 + 
     45*T1^15*T2^11 - 12*T1^16*T2^11 - 6*T1^4*T2^12 + 95*T1^6*T2^12 - 
     210*T1^7*T2^12 + 75*T1^8*T2^12 + 130*T1^9*T2^12 + 61*T1^10*T2^12 - 
     242*T1^11*T2^12 + 39*T1^12*T2^12 + 198*T1^13*T2^12 - 97*T1^14*T2^12 + 
     6*T1^16*T2^12 + 6*T1^5*T2^13 - 30*T1^6*T2^13 + 13*T1^7*T2^13 + 
     165*T1^8*T2^13 - 333*T1^9*T2^13 + 131*T1^10*T2^13 - 4*T1^11*T2^13 + 
     198*T1^12*T2^13 - 339*T1^13*T2^13 + 121*T1^14*T2^13 + 15*T1^15*T2^13 - 
     12*T1^16*T2^13 + 25*T1^7*T2^14 - 108*T1^8*T2^14 + 139*T1^9*T2^14 + 
     11*T1^10*T2^14 - 34*T1^11*T2^14 - 97*T1^12*T2^14 + 121*T1^13*T2^14 + 
     36*T1^14*T2^14 - 65*T1^15*T2^14 + 18*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 + 5*T1^9*T2^15 - 60*T1^10*T2^15 + 45*T1^11*T2^15 + 
     15*T1^13*T2^15 - 65*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 18*T1^10*T2^16 - 12*T1^11*T2^16 + 
     6*T1^12*T2^16 - 12*T1^13*T2^16 + 18*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 7] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 18*T1^2 + 18*T1^3 - 18*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 64*T1^2*T2 - 43*T1^3*T2 + 47*T1^4*T2 - 6*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 18*T2^2 + 64*T1*T2^2 - 26*T1^2*T2^2 - 
     82*T1^3*T2^2 + 62*T1^4*T2^2 - 154*T1^5*T2^2 + 118*T1^6*T2^2 - 
     26*T1^7*T2^2 + 18*T2^3 - 43*T1*T2^3 - 82*T1^2*T2^3 + 242*T1^3*T2^3 - 
     150*T1^4*T2^3 + 282*T1^5*T2^3 - 118*T1^6*T2^3 - 55*T1^7*T2^3 + 
     47*T1^8*T2^3 - 9*T1^9*T2^3 - 18*T2^4 + 47*T1*T2^4 + 62*T1^2*T2^4 - 
     150*T1^3*T2^4 - 28*T1^4*T2^4 - 168*T1^5*T2^4 - 100*T1^6*T2^4 + 
     246*T1^7*T2^4 - 64*T1^8*T2^4 - 43*T1^9*T2^4 + 18*T1^10*T2^4 + 10*T2^5 - 
     6*T1*T2^5 - 154*T1^2*T2^5 + 282*T1^3*T2^5 - 168*T1^4*T2^5 + 
     377*T1^5*T2^5 + 95*T1^6*T2^5 - 177*T1^7*T2^5 - 222*T1^8*T2^5 + 
     215*T1^9*T2^5 - 16*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     118*T1^2*T2^6 - 118*T1^3*T2^6 - 100*T1^4*T2^6 + 95*T1^5*T2^6 - 
     492*T1^6*T2^6 + 217*T1^7*T2^6 + 350*T1^8*T2^6 - 82*T1^9*T2^6 - 
     166*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     26*T1^2*T2^7 - 55*T1^3*T2^7 + 246*T1^4*T2^7 - 177*T1^5*T2^7 + 
     217*T1^6*T2^7 - 65*T1^7*T2^7 - 186*T1^8*T2^7 - 258*T1^9*T2^7 + 
     314*T1^10*T2^7 - 36*T1^11*T2^7 - 20*T1^12*T2^7 + 47*T1^3*T2^8 - 
     64*T1^4*T2^8 - 222*T1^5*T2^8 + 350*T1^6*T2^8 - 186*T1^7*T2^8 + 
     278*T1^8*T2^8 + 174*T1^9*T2^8 - 190*T1^10*T2^8 - 43*T1^11*T2^8 + 
     36*T1^12*T2^8 - 9*T1^3*T2^9 - 43*T1^4*T2^9 + 215*T1^5*T2^9 - 
     82*T1^6*T2^9 - 258*T1^7*T2^9 + 174*T1^8*T2^9 - 442*T1^9*T2^9 + 
     242*T1^10*T2^9 + 47*T1^11*T2^9 - 36*T1^12*T2^9 + 18*T1^4*T2^10 - 
     16*T1^5*T2^10 - 166*T1^6*T2^10 + 314*T1^7*T2^10 - 190*T1^8*T2^10 + 
     242*T1^9*T2^10 - 22*T1^10*T2^10 - 106*T1^11*T2^10 + 36*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 36*T1^7*T2^11 - 43*T1^8*T2^11 + 
     47*T1^9*T2^11 - 106*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 36*T1^8*T2^12 - 36*T1^9*T2^12 + 
     36*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 8] -> 
  {(1 - 5*T + 9*T^2 - 10*T^3 + 11*T^4 - 10*T^5 + 9*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 54*T1^2 + 60*T1^3 - 66*T1^4 + 60*T1^5 - 54*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 145*T1^2*T2 - 75*T1^3*T2 + 80*T1^4*T2 - 
     25*T1^5*T2 + 20*T1^6*T2 + 75*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     54*T2^2 + 145*T1*T2^2 + 102*T1^2*T2^2 - 403*T1^3*T2^2 + 329*T1^4*T2^2 - 
     468*T1^5*T2^2 + 365*T1^6*T2^2 - 493*T1^7*T2^2 + 246*T1^8*T2^2 + 
     55*T1^9*T2^2 - 36*T1^10*T2^2 + 60*T2^3 - 75*T1*T2^3 - 403*T1^2*T2^3 + 
     559*T1^3*T2^3 - 124*T1^4*T2^3 + 330*T1^5*T2^3 - 45*T1^6*T2^3 + 
     251*T1^7*T2^3 + 259*T1^8*T2^3 - 403*T1^9*T2^3 + 30*T1^10*T2^3 + 
     30*T1^11*T2^3 - 66*T2^4 + 80*T1*T2^4 + 329*T1^2*T2^4 - 124*T1^3*T2^4 - 
     459*T1^4*T2^4 + 28*T1^5*T2^4 - 387*T1^6*T2^4 + 8*T1^7*T2^4 - 
     519*T1^8*T2^4 + 236*T1^9*T2^4 + 225*T1^10*T2^4 - 40*T1^11*T2^4 - 
     22*T1^12*T2^4 + 60*T2^5 - 25*T1*T2^5 - 468*T1^2*T2^5 + 330*T1^3*T2^5 + 
     28*T1^4*T2^5 + 565*T1^5*T2^5 - 92*T1^6*T2^5 + 453*T1^7*T2^5 + 
     185*T1^8*T2^5 + 33*T1^9*T2^5 - 115*T1^10*T2^5 - 183*T1^11*T2^5 + 
     60*T1^12*T2^5 + 10*T1^13*T2^5 - 54*T2^6 + 20*T1*T2^6 + 365*T1^2*T2^6 - 
     45*T1^3*T2^6 - 387*T1^4*T2^6 - 92*T1^5*T2^6 - 511*T1^6*T2^6 + 
     179*T1^7*T2^6 - 683*T1^8*T2^6 + 378*T1^9*T2^6 - 209*T1^10*T2^6 + 
     225*T1^11*T2^6 + 49*T1^12*T2^6 - 50*T1^13*T2^6 + 30*T2^7 + 75*T1*T2^7 - 
     493*T1^2*T2^7 + 251*T1^3*T2^7 + 8*T1^4*T2^7 + 453*T1^5*T2^7 + 
     179*T1^6*T2^7 + 200*T1^7*T2^7 + 80*T1^8*T2^7 + 109*T1^9*T2^7 - 
     242*T1^10*T2^7 + 103*T1^11*T2^7 - 184*T1^12*T2^7 + 47*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 246*T1^2*T2^8 + 
     259*T1^3*T2^8 - 519*T1^4*T2^8 + 185*T1^5*T2^8 - 683*T1^6*T2^8 + 
     80*T1^7*T2^8 - 108*T1^8*T2^8 + 20*T1^9*T2^8 + 129*T1^10*T2^8 + 
     115*T1^11*T2^8 - 15*T1^12*T2^8 + 109*T1^13*T2^8 - 108*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 55*T1^2*T2^9 - 
     403*T1^3*T2^9 + 236*T1^4*T2^9 + 33*T1^5*T2^9 + 378*T1^6*T2^9 + 
     109*T1^7*T2^9 + 20*T1^8*T2^9 - 100*T1^9*T2^9 + 39*T1^10*T2^9 - 
     317*T1^11*T2^9 + 128*T1^12*T2^9 - 199*T1^13*T2^9 + 137*T1^14*T2^9 + 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 36*T1^2*T2^10 + 30*T1^3*T2^10 + 
     225*T1^4*T2^10 - 115*T1^5*T2^10 - 209*T1^6*T2^10 - 242*T1^7*T2^10 + 
     129*T1^8*T2^10 + 39*T1^9*T2^10 - 43*T1^10*T2^10 + 228*T1^11*T2^10 - 
     31*T1^12*T2^10 + 155*T1^13*T2^10 - 91*T1^14*T2^10 - 40*T1^15*T2^10 + 
     18*T1^16*T2^10 + 30*T1^3*T2^11 - 40*T1^4*T2^11 - 183*T1^5*T2^11 + 
     225*T1^6*T2^11 + 103*T1^7*T2^11 + 115*T1^8*T2^11 - 317*T1^9*T2^11 + 
     228*T1^10*T2^11 - 265*T1^11*T2^11 + 108*T1^12*T2^11 - 220*T1^13*T2^11 + 
     102*T1^14*T2^11 + 45*T1^15*T2^11 - 20*T1^16*T2^11 - 22*T1^4*T2^12 + 
     60*T1^5*T2^12 + 49*T1^6*T2^12 - 184*T1^7*T2^12 - 15*T1^8*T2^12 + 
     128*T1^9*T2^12 - 31*T1^10*T2^12 + 108*T1^11*T2^12 - 75*T1^12*T2^12 + 
     176*T1^13*T2^12 - 55*T1^14*T2^12 - 60*T1^15*T2^12 + 22*T1^16*T2^12 + 
     10*T1^5*T2^13 - 50*T1^6*T2^13 + 47*T1^7*T2^13 + 109*T1^8*T2^13 - 
     199*T1^9*T2^13 + 155*T1^10*T2^13 - 220*T1^11*T2^13 + 176*T1^12*T2^13 - 
     191*T1^13*T2^13 + 47*T1^14*T2^13 + 55*T1^15*T2^13 - 20*T1^16*T2^13 + 
     25*T1^7*T2^14 - 108*T1^8*T2^14 + 137*T1^9*T2^14 - 91*T1^10*T2^14 + 
     102*T1^11*T2^14 - 55*T1^12*T2^14 + 47*T1^13*T2^14 + 36*T1^14*T2^14 - 
     65*T1^15*T2^14 + 18*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     5*T1^9*T2^15 - 40*T1^10*T2^15 + 45*T1^11*T2^15 - 60*T1^12*T2^15 + 
     55*T1^13*T2^15 - 65*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 18*T1^10*T2^16 - 20*T1^11*T2^16 + 
     22*T1^12*T2^16 - 20*T1^13*T2^16 + 18*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 9] -> 
  {(1 - 7*T + 17*T^2 - 21*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 34*T1^2 + 42*T1^3 - 34*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     89*T1*T2 + 185*T1^2*T2 - 175*T1^3*T2 + 91*T1^4*T2 + 17*T1^5*T2 - 
     33*T1^6*T2 + 7*T1^7*T2 - 34*T2^2 + 185*T1*T2^2 - 255*T1^2*T2^2 - 
     34*T1^3*T2^2 + 363*T1^4*T2^2 - 510*T1^5*T2^2 + 289*T1^6*T2^2 - 
     53*T1^7*T2^2 + 42*T2^3 - 175*T1*T2^3 - 34*T1^2*T2^3 + 928*T1^3*T2^3 - 
     1591*T1^4*T2^3 + 1419*T1^5*T2^3 - 542*T1^6*T2^3 - 153*T1^7*T2^3 + 
     147*T1^8*T2^3 - 21*T1^9*T2^3 - 34*T2^4 + 91*T1*T2^4 + 363*T1^2*T2^4 - 
     1591*T1^3*T2^4 + 1930*T1^4*T2^4 - 512*T1^5*T2^4 - 1098*T1^6*T2^4 + 
     1685*T1^7*T2^4 - 539*T1^8*T2^4 - 91*T1^9*T2^4 + 34*T1^10*T2^4 + 
     14*T2^5 + 17*T1*T2^5 - 510*T1^2*T2^5 + 1419*T1^3*T2^5 - 512*T1^4*T2^5 - 
     2275*T1^5*T2^5 + 3003*T1^6*T2^5 - 1821*T1^7*T2^5 - 1059*T1^8*T2^5 + 
     1037*T1^9*T2^5 - 95*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 33*T1*T2^6 + 
     289*T1^2*T2^6 - 542*T1^3*T2^6 - 1098*T1^4*T2^6 + 3003*T1^5*T2^6 - 
     636*T1^6*T2^6 - 1995*T1^7*T2^6 + 4136*T1^8*T2^6 - 1382*T1^9*T2^6 - 
     403*T1^10*T2^6 + 121*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     53*T1^2*T2^7 - 153*T1^3*T2^7 + 1685*T1^4*T2^7 - 1821*T1^5*T2^7 - 
     1995*T1^6*T2^7 + 3283*T1^7*T2^7 - 3130*T1^8*T2^7 - 793*T1^9*T2^7 + 
     1394*T1^10*T2^7 - 165*T1^11*T2^7 - 28*T1^12*T2^7 + 147*T1^3*T2^8 - 
     539*T1^4*T2^8 - 1059*T1^5*T2^8 + 4136*T1^6*T2^8 - 3130*T1^7*T2^8 + 
     1108*T1^8*T2^8 + 2217*T1^9*T2^8 - 1441*T1^10*T2^8 - 35*T1^11*T2^8 + 
     68*T1^12*T2^8 - 21*T1^3*T2^9 - 91*T1^4*T2^9 + 1037*T1^5*T2^9 - 
     1382*T1^6*T2^9 - 793*T1^7*T2^9 + 2217*T1^8*T2^9 - 2852*T1^9*T2^9 + 
     918*T1^10*T2^9 + 231*T1^11*T2^9 - 84*T1^12*T2^9 + 34*T1^4*T2^10 - 
     95*T1^5*T2^10 - 403*T1^6*T2^10 + 1394*T1^7*T2^10 - 1441*T1^8*T2^10 + 
     918*T1^9*T2^10 + 141*T1^10*T2^10 - 333*T1^11*T2^10 + 68*T1^12*T2^10 - 
     21*T1^5*T2^11 + 121*T1^6*T2^11 - 165*T1^7*T2^11 - 35*T1^8*T2^11 + 
     231*T1^9*T2^11 - 333*T1^10*T2^11 + 177*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 68*T1^8*T2^12 - 84*T1^9*T2^12 + 
     68*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 10] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 18*T1^2 + 18*T1^3 - 18*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 65*T1^2*T2 - 45*T1^3*T2 + 45*T1^4*T2 - 5*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 18*T2^2 + 65*T1*T2^2 - 40*T1^2*T2^2 - 
     50*T1^3*T2^2 + 40*T1^4*T2^2 - 122*T1^5*T2^2 + 104*T1^6*T2^2 - 
     25*T1^7*T2^2 + 18*T2^3 - 45*T1*T2^3 - 50*T1^2*T2^3 + 188*T1^3*T2^3 - 
     149*T1^4*T2^3 + 283*T1^5*T2^3 - 172*T1^6*T2^3 - 23*T1^7*T2^3 + 
     45*T1^8*T2^3 - 9*T1^9*T2^3 - 18*T2^4 + 45*T1*T2^4 + 40*T1^2*T2^4 - 
     149*T1^3*T2^4 + 94*T1^4*T2^4 - 302*T1^5*T2^4 + 22*T1^6*T2^4 + 
     247*T1^7*T2^4 - 86*T1^8*T2^4 - 45*T1^9*T2^4 + 18*T1^10*T2^4 + 10*T2^5 - 
     5*T1*T2^5 - 122*T1^2*T2^5 + 283*T1^3*T2^5 - 302*T1^4*T2^5 + 
     449*T1^5*T2^5 + 167*T1^6*T2^5 - 311*T1^7*T2^5 - 221*T1^8*T2^5 + 
     247*T1^9*T2^5 - 15*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     104*T1^2*T2^6 - 172*T1^3*T2^6 + 22*T1^4*T2^6 + 167*T1^5*T2^6 - 
     696*T1^6*T2^6 + 289*T1^7*T2^6 + 472*T1^8*T2^6 - 136*T1^9*T2^6 - 
     180*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 23*T1^3*T2^7 + 247*T1^4*T2^7 - 311*T1^5*T2^7 + 
     289*T1^6*T2^7 + 7*T1^7*T2^7 - 320*T1^8*T2^7 - 257*T1^9*T2^7 + 
     346*T1^10*T2^7 - 35*T1^11*T2^7 - 20*T1^12*T2^7 + 45*T1^3*T2^8 - 
     86*T1^4*T2^8 - 221*T1^5*T2^8 + 472*T1^6*T2^8 - 320*T1^7*T2^8 + 
     400*T1^8*T2^8 + 175*T1^9*T2^8 - 212*T1^10*T2^8 - 45*T1^11*T2^8 + 
     36*T1^12*T2^8 - 9*T1^3*T2^9 - 45*T1^4*T2^9 + 247*T1^5*T2^9 - 
     136*T1^6*T2^9 - 257*T1^7*T2^9 + 175*T1^8*T2^9 - 496*T1^9*T2^9 + 
     274*T1^10*T2^9 + 45*T1^11*T2^9 - 36*T1^12*T2^9 + 18*T1^4*T2^10 - 
     15*T1^5*T2^10 - 180*T1^6*T2^10 + 346*T1^7*T2^10 - 212*T1^8*T2^10 + 
     274*T1^9*T2^10 - 36*T1^10*T2^10 - 105*T1^11*T2^10 + 36*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 35*T1^7*T2^11 - 45*T1^8*T2^11 + 
     45*T1^9*T2^11 - 105*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 36*T1^8*T2^12 - 36*T1^9*T2^12 + 
     36*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 11] -> 
  {(3 - 15*T + 25*T^2 - 15*T^3 + 3*T^4)/T^2, 
   (-57 + 285*T1 - 475*T1^2 + 285*T1^3 - 57*T1^4 + 285*T2 - 1279*T1*T2 + 
     1632*T1^2*T2 - 168*T1^3*T2 - 469*T1^4*T2 + 150*T1^5*T2 - 475*T2^2 + 
     1632*T1*T2^2 - 203*T1^2*T2^2 - 3871*T1^3*T2^2 + 3097*T1^4*T2^2 - 
     618*T1^5*T2^2 - 25*T1^6*T2^2 + 285*T2^3 - 168*T1*T2^3 - 3871*T1^2*T2^3 + 
     8428*T1^3*T2^3 - 4142*T1^4*T2^3 - 496*T1^5*T2^3 + 732*T1^6*T2^3 - 
     120*T1^7*T2^3 - 57*T2^4 - 469*T1*T2^4 + 3097*T1^2*T2^4 - 
     4142*T1^3*T2^4 - 1596*T1^4*T2^4 + 5218*T1^5*T2^4 - 2753*T1^6*T2^4 + 
     341*T1^7*T2^4 + 51*T1^8*T2^4 + 150*T1*T2^5 - 618*T1^2*T2^5 - 
     496*T1^3*T2^5 + 5218*T1^4*T2^5 - 7352*T1^5*T2^5 + 2879*T1^6*T2^5 + 
     282*T1^7*T2^5 - 255*T1^8*T2^5 - 25*T1^2*T2^6 + 732*T1^3*T2^6 - 
     2753*T1^4*T2^6 + 2879*T1^5*T2^6 + 547*T1^6*T2^6 - 1518*T1^7*T2^6 + 
     425*T1^8*T2^6 - 120*T1^3*T2^7 + 341*T1^4*T2^7 + 282*T1^5*T2^7 - 
     1518*T1^6*T2^7 + 1151*T1^7*T2^7 - 255*T1^8*T2^7 + 51*T1^4*T2^8 - 
     255*T1^5*T2^8 + 425*T1^6*T2^8 - 255*T1^7*T2^8 + 51*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 12] -> 
  {(2 - 10*T + 18*T^2 - 19*T^3 + 18*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 296*T1^2 + 311*T1^3 - 296*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 855*T1^2*T2 - 435*T1^3*T2 + 305*T1^4*T2 + 
     295*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 296*T2^2 + 855*T1*T2^2 + 
     311*T1^2*T2^2 - 2041*T1^3*T2^2 + 1865*T1^4*T2^2 - 2689*T1^5*T2^2 + 
     1463*T1^6*T2^2 + 135*T1^7*T2^2 - 152*T1^8*T2^2 + 311*T2^3 - 
     435*T1*T2^3 - 2041*T1^2*T2^3 + 3446*T1^3*T2^3 - 1464*T1^4*T2^3 + 
     2004*T1^5*T2^3 + 800*T1^6*T2^3 - 1933*T1^7*T2^3 + 345*T1^8*T2^3 + 
     83*T1^9*T2^3 - 296*T2^4 + 305*T1*T2^4 + 1865*T1^2*T2^4 - 
     1464*T1^3*T2^4 - 1947*T1^4*T2^4 + 997*T1^5*T2^4 - 3063*T1^6*T2^4 + 
     1880*T1^7*T2^4 + 657*T1^8*T2^4 - 375*T1^9*T2^4 - 8*T1^10*T2^4 + 
     165*T2^5 + 295*T1*T2^5 - 2689*T1^2*T2^5 + 2004*T1^3*T2^5 + 
     997*T1^4*T2^5 + 1066*T1^5*T2^5 - 200*T1^6*T2^5 + 961*T1^7*T2^5 - 
     1712*T1^8*T2^5 + 227*T1^9*T2^5 + 215*T1^10*T2^5 - 35*T1^11*T2^5 - 
     33*T2^6 - 460*T1*T2^6 + 1463*T1^2*T2^6 + 800*T1^3*T2^6 - 
     3063*T1^4*T2^6 - 200*T1^5*T2^6 + 96*T1^6*T2^6 + 128*T1^7*T2^6 + 
     137*T1^8*T2^6 + 1064*T1^9*T2^6 - 809*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 135*T1^2*T2^7 - 1933*T1^3*T2^7 + 
     1880*T1^4*T2^7 + 961*T1^5*T2^7 + 128*T1^6*T2^7 - 1138*T1^7*T2^7 + 
     925*T1^8*T2^7 - 1836*T1^9*T2^7 + 983*T1^10*T2^7 + 55*T1^11*T2^7 - 
     75*T1^12*T2^7 - 152*T1^2*T2^8 + 345*T1^3*T2^8 + 657*T1^4*T2^8 - 
     1712*T1^5*T2^8 + 137*T1^6*T2^8 + 925*T1^7*T2^8 - 979*T1^8*T2^8 + 
     1632*T1^9*T2^8 - 551*T1^10*T2^8 - 335*T1^11*T2^8 + 136*T1^12*T2^8 + 
     83*T1^3*T2^9 - 375*T1^4*T2^9 + 227*T1^5*T2^9 + 1064*T1^6*T2^9 - 
     1836*T1^7*T2^9 + 1632*T1^8*T2^9 - 1582*T1^9*T2^9 + 335*T1^10*T2^9 + 
     405*T1^11*T2^9 - 145*T1^12*T2^9 - 8*T1^4*T2^10 + 215*T1^5*T2^10 - 
     809*T1^6*T2^10 + 983*T1^7*T2^10 - 551*T1^8*T2^10 + 335*T1^9*T2^10 + 
     343*T1^10*T2^10 - 505*T1^11*T2^10 + 136*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 + 55*T1^7*T2^11 - 335*T1^8*T2^11 + 405*T1^9*T2^11 - 
     505*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 136*T1^8*T2^12 - 145*T1^9*T2^12 + 136*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 13] -> {(1 - 7*T + 13*T^2 - 7*T^3 + T^4)/T^2, 
   (-2 + 14*T1 - 26*T1^2 + 14*T1^3 - 2*T1^4 + 14*T2 - 83*T1*T2 + 
     120*T1^2*T2 - 20*T1^3*T2 - 27*T1^4*T2 + 7*T1^5*T2 - 26*T2^2 + 
     120*T1*T2^2 - 59*T1^2*T2^2 - 225*T1^3*T2^2 + 253*T1^4*T2^2 - 
     62*T1^5*T2^2 + 14*T2^3 - 20*T1*T2^3 - 225*T1^2*T2^3 + 750*T1^3*T2^3 - 
     902*T1^4*T2^3 + 230*T1^5*T2^3 + 36*T1^6*T2^3 - 7*T1^7*T2^3 - 2*T2^4 - 
     27*T1*T2^4 + 253*T1^2*T2^4 - 902*T1^3*T2^4 + 1080*T1^4*T2^4 + 
     246*T1^5*T2^4 - 381*T1^6*T2^4 + 43*T1^7*T2^4 + 2*T1^8*T2^4 + 7*T1*T2^5 - 
     62*T1^2*T2^5 + 230*T1^3*T2^5 + 246*T1^4*T2^5 - 1406*T1^5*T2^5 + 
     685*T1^6*T2^5 - 6*T1^7*T2^5 - 14*T1^8*T2^5 + 36*T1^3*T2^6 - 
     381*T1^4*T2^6 + 685*T1^5*T2^6 - 69*T1^6*T2^6 - 146*T1^7*T2^6 + 
     26*T1^8*T2^6 - 7*T1^3*T2^7 + 43*T1^4*T2^7 - 6*T1^5*T2^7 - 
     146*T1^6*T2^7 + 99*T1^7*T2^7 - 14*T1^8*T2^7 + 2*T1^4*T2^8 - 
     14*T1^5*T2^8 + 26*T1^6*T2^8 - 14*T1^7*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 14] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 63*T1^2 + 93*T1^3 - 63*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 345*T1^2*T2 - 360*T1^3*T2 + 4*T1^4*T2 + 149*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 63*T2^2 + 345*T1*T2^2 - 686*T1^2*T2^2 + 
      95*T1^3*T2^2 + 1244*T1^4*T2^2 - 913*T1^5*T2^2 + 154*T1^6*T2^2 + 
      51*T1^7*T2^2 - 21*T1^8*T2^2 + 93*T2^3 - 360*T1*T2^3 + 95*T1^2*T2^3 + 
      2222*T1^3*T2^3 - 4144*T1^4*T2^3 + 896*T1^5*T2^3 + 1082*T1^6*T2^3 - 
      682*T1^7*T2^3 + 144*T1^8*T2^3 - 63*T2^4 + 4*T1*T2^4 + 1244*T1^2*T2^4 - 
      4144*T1^3*T2^4 + 3015*T1^4*T2^4 + 5143*T1^5*T2^4 - 5721*T1^6*T2^4 + 
      1932*T1^7*T2^4 - 30*T1^8*T2^4 - 150*T1^9*T2^4 + 21*T1^10*T2^4 + 
      21*T2^5 + 149*T1*T2^5 - 913*T1^2*T2^5 + 896*T1^3*T2^5 + 
      5143*T1^4*T2^5 - 13711*T1^5*T2^5 + 8073*T1^6*T2^5 + 292*T1^7*T2^5 - 
      2072*T1^8*T2^5 + 788*T1^9*T2^5 - 47*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 154*T1^2*T2^6 + 1082*T1^3*T2^6 - 5721*T1^4*T2^6 + 
      8073*T1^5*T2^6 + 1740*T1^6*T2^6 - 9217*T1^7*T2^6 + 5969*T1^8*T2^6 - 
      1162*T1^9*T2^6 - 210*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 51*T1^2*T2^7 - 682*T1^3*T2^7 + 1932*T1^4*T2^7 + 
      292*T1^5*T2^7 - 9217*T1^6*T2^7 + 12567*T1^7*T2^7 - 4559*T1^8*T2^7 - 
      1036*T1^9*T2^7 + 1019*T1^10*T2^7 - 145*T1^11*T2^7 - 21*T1^12*T2^7 - 
      21*T1^2*T2^8 + 144*T1^3*T2^8 - 30*T1^4*T2^8 - 2072*T1^5*T2^8 + 
      5969*T1^6*T2^8 - 4559*T1^7*T2^8 - 2767*T1^8*T2^8 + 4004*T1^9*T2^8 - 
      1304*T1^10*T2^8 - 10*T1^11*T2^8 + 63*T1^12*T2^8 - 150*T1^4*T2^9 + 
      788*T1^5*T2^9 - 1162*T1^6*T2^9 - 1036*T1^7*T2^9 + 4004*T1^8*T2^9 - 
      2302*T1^9*T2^9 + 11*T1^10*T2^9 + 354*T1^11*T2^9 - 93*T1^12*T2^9 + 
      21*T1^4*T2^10 - 47*T1^5*T2^10 - 210*T1^6*T2^10 + 1019*T1^7*T2^10 - 
      1304*T1^8*T2^10 + 11*T1^9*T2^10 + 630*T1^10*T2^10 - 341*T1^11*T2^10 + 
      63*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 145*T1^7*T2^11 - 
      10*T1^8*T2^11 + 354*T1^9*T2^11 - 341*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 63*T1^8*T2^12 - 
      93*T1^9*T2^12 + 63*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 15] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 54*T1^2 + 74*T1^3 - 54*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     151*T1*T2 + 401*T1^2*T2 - 423*T1^3*T2 + 153*T1^4*T2 + 77*T1^5*T2 - 
     61*T1^6*T2 + 9*T1^7*T2 - 54*T2^2 + 401*T1*T2^2 - 756*T1^2*T2^2 - 
     76*T1^3*T2^2 + 1416*T1^4*T2^2 - 1588*T1^5*T2^2 + 648*T1^6*T2^2 - 
     85*T1^7*T2^2 + 74*T2^3 - 423*T1*T2^3 - 76*T1^2*T2^3 + 3516*T1^3*T2^3 - 
     6591*T1^4*T2^3 + 4965*T1^5*T2^3 - 1014*T1^6*T2^3 - 643*T1^7*T2^3 + 
     333*T1^8*T2^3 - 37*T1^9*T2^3 - 54*T2^4 + 153*T1*T2^4 + 1416*T1^2*T2^4 - 
     6591*T1^3*T2^4 + 8505*T1^4*T2^4 - 639*T1^5*T2^4 - 7335*T1^6*T2^4 + 
     6729*T1^7*T2^4 - 1662*T1^8*T2^4 - 153*T1^9*T2^4 + 54*T1^10*T2^4 + 
     18*T2^5 + 77*T1*T2^5 - 1588*T1^2*T2^5 + 4965*T1^3*T2^5 - 639*T1^4*T2^5 - 
     16097*T1^5*T2^5 + 22045*T1^6*T2^5 - 10116*T1^7*T2^5 - 3063*T1^8*T2^5 + 
     2759*T1^9*T2^5 - 247*T1^10*T2^5 - 27*T1^11*T2^5 - 2*T2^6 - 61*T1*T2^6 + 
     648*T1^2*T2^6 - 1014*T1^3*T2^6 - 7335*T1^4*T2^6 + 22045*T1^5*T2^6 - 
     12828*T1^6*T2^6 - 10409*T1^7*T2^6 + 18747*T1^8*T2^6 - 5610*T1^9*T2^6 - 
     648*T1^10*T2^6 + 209*T1^11*T2^6 + 4*T1^12*T2^6 + 9*T1*T2^7 - 
     85*T1^2*T2^7 - 643*T1^3*T2^7 + 6729*T1^4*T2^7 - 10116*T1^5*T2^7 - 
     10409*T1^6*T2^7 + 27733*T1^7*T2^7 - 19593*T1^8*T2^7 - 1299*T1^9*T2^7 + 
     3704*T1^10*T2^7 - 409*T1^11*T2^7 - 36*T1^12*T2^7 + 333*T1^3*T2^8 - 
     1662*T1^4*T2^8 - 3063*T1^5*T2^8 + 18747*T1^6*T2^8 - 19593*T1^7*T2^8 + 
     2907*T1^8*T2^8 + 10257*T1^9*T2^8 - 4740*T1^10*T2^8 + 27*T1^11*T2^8 + 
     108*T1^12*T2^8 - 37*T1^3*T2^9 - 153*T1^4*T2^9 + 2759*T1^5*T2^9 - 
     5610*T1^6*T2^9 - 1299*T1^7*T2^9 + 10257*T1^8*T2^9 - 10140*T1^9*T2^9 + 
     2192*T1^10*T2^9 + 603*T1^11*T2^9 - 148*T1^12*T2^9 + 54*T1^4*T2^10 - 
     247*T1^5*T2^10 - 648*T1^6*T2^10 + 3704*T1^7*T2^10 - 4740*T1^8*T2^10 + 
     2192*T1^9*T2^10 + 756*T1^10*T2^10 - 733*T1^11*T2^10 + 108*T1^12*T2^10 - 
     27*T1^5*T2^11 + 209*T1^6*T2^11 - 409*T1^7*T2^11 + 27*T1^8*T2^11 + 
     603*T1^9*T2^11 - 733*T1^10*T2^11 + 299*T1^11*T2^11 - 36*T1^12*T2^11 + 
     4*T1^6*T2^12 - 36*T1^7*T2^12 + 108*T1^8*T2^12 - 148*T1^9*T2^12 + 
     108*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 16] -> 
  {(1 - 5*T + 7*T^2 - 5*T^4 + 7*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 42*T1^2 + 30*T1^4 - 42*T1^6 + 30*T1^7 - 6*T1^8 + 30*T2 - 
     125*T1*T2 + 85*T1^2*T2 + 175*T1^3*T2 - 150*T1^4*T2 - 125*T1^5*T2 + 
     210*T1^6*T2 + 25*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 42*T2^2 + 
     85*T1*T2^2 + 300*T1^2*T2^2 - 725*T1^3*T2^2 + 6*T1^4*T2^2 + 
     628*T1^5*T2^2 - 162*T1^6*T2^2 - 655*T1^7*T2^2 + 384*T1^8*T2^2 + 
     15*T1^9*T2^2 - 28*T1^10*T2^2 + 175*T1*T2^3 - 725*T1^2*T2^3 + 
     501*T1^3*T2^3 + 974*T1^4*T2^3 - 857*T1^5*T2^3 - 682*T1^6*T2^3 + 
     1219*T1^7*T2^3 + 81*T1^8*T2^3 - 515*T1^9*T2^3 + 140*T1^10*T2^3 + 
     30*T2^4 - 150*T1*T2^4 + 6*T1^2*T2^4 + 974*T1^3*T2^4 - 1424*T1^4*T2^4 - 
     120*T1^5*T2^4 + 1252*T1^6*T2^4 - 220*T1^7*T2^4 - 1304*T1^8*T2^4 + 
     974*T1^9*T2^4 - 134*T1^10*T2^4 - 50*T1^11*T2^4 + 10*T1^12*T2^4 - 
     125*T1*T2^5 + 628*T1^2*T2^5 - 857*T1^3*T2^5 - 120*T1^4*T2^5 + 
     881*T1^5*T2^5 - 303*T1^6*T2^5 - 828*T1^7*T2^5 + 881*T1^8*T2^5 - 
     195*T1^9*T2^5 - 332*T1^10*T2^5 + 253*T1^11*T2^5 - 50*T1^12*T2^5 - 
     42*T2^6 + 210*T1*T2^6 - 162*T1^2*T2^6 - 682*T1^3*T2^6 + 1252*T1^4*T2^6 - 
     303*T1^5*T2^6 - 652*T1^6*T2^6 + 458*T1^7*T2^6 + 440*T1^8*T2^6 - 
     653*T1^9*T2^6 + 622*T1^10*T2^6 - 332*T1^11*T2^6 + 62*T1^12*T2^6 + 
     30*T2^7 + 25*T1*T2^7 - 655*T1^2*T2^7 + 1219*T1^3*T2^7 - 220*T1^4*T2^7 - 
     828*T1^5*T2^7 + 458*T1^6*T2^7 + 736*T1^7*T2^7 - 1154*T1^8*T2^7 + 
     388*T1^9*T2^7 + 47*T1^10*T2^7 - 45*T1^11*T2^7 - 6*T1^12*T2^7 - 
     25*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 
     384*T1^2*T2^8 + 81*T1^3*T2^8 - 1304*T1^4*T2^8 + 881*T1^5*T2^8 + 
     440*T1^6*T2^8 - 1154*T1^7*T2^8 + 516*T1^8*T2^8 + 686*T1^9*T2^8 - 
     680*T1^10*T2^8 + 131*T1^11*T2^8 + 28*T1^12*T2^8 + 151*T1^13*T2^8 - 
     114*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     15*T1^2*T2^9 - 515*T1^3*T2^9 + 974*T1^4*T2^9 - 195*T1^5*T2^9 - 
     653*T1^6*T2^9 + 388*T1^7*T2^9 + 686*T1^8*T2^9 - 1204*T1^9*T2^9 + 
     318*T1^10*T2^9 + 222*T1^11*T2^9 - 20*T1^12*T2^9 - 251*T1^13*T2^9 + 
     115*T1^14*T2^9 + 15*T1^15*T2^9 - 10*T1^16*T2^9 - 28*T1^2*T2^10 + 
     140*T1^3*T2^10 - 134*T1^4*T2^10 - 332*T1^5*T2^10 + 622*T1^6*T2^10 + 
     47*T1^7*T2^10 - 680*T1^8*T2^10 + 318*T1^9*T2^10 + 412*T1^10*T2^10 - 
     303*T1^11*T2^10 - 8*T1^12*T2^10 + 18*T1^13*T2^10 + 90*T1^14*T2^10 - 
     70*T1^15*T2^10 + 14*T1^16*T2^10 - 50*T1^4*T2^11 + 253*T1^5*T2^11 - 
     332*T1^6*T2^11 - 45*T1^7*T2^11 + 131*T1^8*T2^11 + 222*T1^9*T2^11 - 
     303*T1^10*T2^11 + 131*T1^11*T2^11 - 120*T1^12*T2^11 + 193*T1^13*T2^11 - 
     122*T1^14*T2^11 + 25*T1^15*T2^11 + 10*T1^4*T2^12 - 50*T1^5*T2^12 + 
     62*T1^6*T2^12 - 6*T1^7*T2^12 + 28*T1^8*T2^12 - 20*T1^9*T2^12 - 
     8*T1^10*T2^12 - 120*T1^11*T2^12 + 148*T1^12*T2^12 - 6*T1^13*T2^12 - 
     78*T1^14*T2^12 + 50*T1^15*T2^12 - 10*T1^16*T2^12 - 25*T1^7*T2^13 + 
     151*T1^8*T2^13 - 251*T1^9*T2^13 + 18*T1^10*T2^13 + 193*T1^11*T2^13 - 
     6*T1^12*T2^13 - 269*T1^13*T2^13 + 185*T1^14*T2^13 - 35*T1^15*T2^13 + 
     25*T1^7*T2^14 - 114*T1^8*T2^14 + 115*T1^9*T2^14 + 90*T1^10*T2^14 - 
     122*T1^11*T2^14 - 78*T1^12*T2^14 + 185*T1^13*T2^14 - 30*T1^14*T2^14 - 
     45*T1^15*T2^14 + 14*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     15*T1^9*T2^15 - 70*T1^10*T2^15 + 25*T1^11*T2^15 + 50*T1^12*T2^15 - 
     35*T1^13*T2^15 - 45*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 14*T1^10*T2^16 - 10*T1^12*T2^16 + 
     14*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 17] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 44*T1^2 + 58*T1^3 - 44*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     120*T1*T2 + 288*T1^2*T2 - 288*T1^3*T2 + 120*T1^4*T2 + 48*T1^5*T2 - 
     48*T1^6*T2 + 8*T1^7*T2 - 44*T2^2 + 288*T1*T2^2 - 442*T1^2*T2^2 - 
     185*T1^3*T2^2 + 960*T1^4*T2^2 - 1109*T1^5*T2^2 + 482*T1^6*T2^2 - 
     64*T1^7*T2^2 + 58*T2^3 - 288*T1*T2^3 - 185*T1^2*T2^3 + 2301*T1^3*T2^3 - 
     3653*T1^4*T2^3 + 2713*T1^5*T2^3 - 369*T1^6*T2^3 - 515*T1^7*T2^3 + 
     232*T1^8*T2^3 - 29*T1^9*T2^3 - 44*T2^4 + 120*T1*T2^4 + 960*T1^2*T2^4 - 
     3653*T1^3*T2^4 + 3661*T1^4*T2^4 + 295*T1^5*T2^4 - 4235*T1^6*T2^4 + 
     3539*T1^7*T2^4 - 816*T1^8*T2^4 - 120*T1^9*T2^4 + 44*T1^10*T2^4 + 
     16*T2^5 + 48*T1*T2^5 - 1109*T1^2*T2^5 + 2713*T1^3*T2^5 + 295*T1^4*T2^5 - 
     7408*T1^5*T2^5 + 9650*T1^6*T2^5 - 3885*T1^7*T2^5 - 2001*T1^8*T2^5 + 
     1597*T1^9*T2^5 - 160*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 48*T1*T2^6 + 
     482*T1^2*T2^6 - 369*T1^3*T2^6 - 4235*T1^4*T2^6 + 9650*T1^5*T2^6 - 
     4752*T1^6*T2^6 - 5350*T1^7*T2^6 + 8801*T1^8*T2^6 - 2655*T1^9*T2^6 - 
     466*T1^10*T2^6 + 160*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     64*T1^2*T2^7 - 515*T1^3*T2^7 + 3539*T1^4*T2^7 - 3885*T1^5*T2^7 - 
     5350*T1^6*T2^7 + 11708*T1^7*T2^7 - 8065*T1^8*T2^7 - 1175*T1^9*T2^7 + 
     2191*T1^10*T2^7 - 272*T1^11*T2^7 - 32*T1^12*T2^7 + 232*T1^3*T2^8 - 
     816*T1^4*T2^8 - 2001*T1^5*T2^8 + 8801*T1^6*T2^8 - 8065*T1^7*T2^8 + 
     905*T1^8*T2^8 + 5191*T1^9*T2^8 - 2592*T1^10*T2^8 - 8*T1^11*T2^8 + 
     88*T1^12*T2^8 - 29*T1^3*T2^9 - 120*T1^4*T2^9 + 1597*T1^5*T2^9 - 
     2655*T1^6*T2^9 - 1175*T1^7*T2^9 + 5191*T1^8*T2^9 - 5325*T1^9*T2^9 + 
     1267*T1^10*T2^9 + 400*T1^11*T2^9 - 116*T1^12*T2^9 + 44*T1^4*T2^10 - 
     160*T1^5*T2^10 - 466*T1^6*T2^10 + 2191*T1^7*T2^10 - 2592*T1^8*T2^10 + 
     1267*T1^9*T2^10 + 458*T1^10*T2^10 - 512*T1^11*T2^10 + 88*T1^12*T2^10 - 
     24*T1^5*T2^11 + 160*T1^6*T2^11 - 272*T1^7*T2^11 - 8*T1^8*T2^11 + 
     400*T1^9*T2^11 - 512*T1^10*T2^11 + 232*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 88*T1^8*T2^12 - 116*T1^9*T2^12 + 
     88*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 18] -> 
  {-((1 - 8*T + 26*T^2 - 39*T^3 + 26*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 78*T1^2 + 117*T1^3 - 78*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 496*T1^2*T2 - 520*T1^3*T2 + 224*T1^5*T2 - 104*T1^6*T2 + 
      16*T1^7*T2 - 78*T2^2 + 496*T1*T2^2 - 1028*T1^2*T2^2 - 75*T1^3*T2^2 + 
      2272*T1^4*T2^2 - 1687*T1^5*T2^2 + 272*T1^6*T2^2 + 80*T1^7*T2^2 - 
      26*T1^8*T2^2 + 117*T2^3 - 520*T1*T2^3 - 75*T1^2*T2^3 + 4515*T1^3*T2^3 - 
      7672*T1^4*T2^3 + 1870*T1^5*T2^3 + 2123*T1^6*T2^3 - 1245*T1^7*T2^3 + 
      208*T1^8*T2^3 - 78*T2^4 + 2272*T1^2*T2^4 - 7672*T1^3*T2^4 + 
      5047*T1^4*T2^4 + 9543*T1^5*T2^4 - 11697*T1^6*T2^4 + 3872*T1^7*T2^4 - 
      16*T1^8*T2^4 - 208*T1^9*T2^4 + 26*T1^10*T2^4 + 24*T2^5 + 224*T1*T2^5 - 
      1687*T1^2*T2^5 + 1870*T1^3*T2^5 + 9543*T1^4*T2^5 - 26070*T1^5*T2^5 + 
      18984*T1^6*T2^5 - 1013*T1^7*T2^5 - 3668*T1^8*T2^5 + 1251*T1^9*T2^5 - 
      80*T1^10*T2^5 - 16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 272*T1^2*T2^6 + 
      2123*T1^3*T2^6 - 11697*T1^4*T2^6 + 18984*T1^5*T2^6 - 3612*T1^6*T2^6 - 
      16576*T1^7*T2^6 + 12275*T1^8*T2^6 - 2271*T1^9*T2^6 - 268*T1^10*T2^6 + 
      104*T1^11*T2^6 + 3*T1^12*T2^6 + 16*T1*T2^7 + 80*T1^2*T2^7 - 
      1245*T1^3*T2^7 + 3872*T1^4*T2^7 - 1013*T1^5*T2^7 - 16576*T1^6*T2^7 + 
      28478*T1^7*T2^7 - 11569*T1^8*T2^7 - 1666*T1^9*T2^7 + 1693*T1^10*T2^7 - 
      224*T1^11*T2^7 - 24*T1^12*T2^7 - 26*T1^2*T2^8 + 208*T1^3*T2^8 - 
      16*T1^4*T2^8 - 3668*T1^5*T2^8 + 12275*T1^6*T2^8 - 11569*T1^7*T2^8 - 
      4469*T1^8*T2^8 + 7876*T1^9*T2^8 - 2304*T1^10*T2^8 + 78*T1^12*T2^8 - 
      208*T1^4*T2^9 + 1251*T1^5*T2^9 - 2271*T1^6*T2^9 - 1666*T1^7*T2^9 + 
      7876*T1^8*T2^9 - 4663*T1^9*T2^9 + 81*T1^10*T2^9 + 520*T1^11*T2^9 - 
      117*T1^12*T2^9 + 26*T1^4*T2^10 - 80*T1^5*T2^10 - 268*T1^6*T2^10 + 
      1693*T1^7*T2^10 - 2304*T1^8*T2^10 + 81*T1^9*T2^10 + 1032*T1^10*T2^10 - 
      496*T1^11*T2^10 + 78*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      224*T1^7*T2^11 + 520*T1^9*T2^11 - 496*T1^10*T2^11 + 176*T1^11*T2^11 - 
      24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 78*T1^8*T2^12 - 
      117*T1^9*T2^12 + 78*T1^10*T2^12 - 24*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 19] -> 
  {((1 - T - 2*T^2 + T^3)*(1 - 2*T - T^2 + T^3))/T^3, 
   (-4 + 12*T1 + 4*T1^2 - 28*T1^3 + 4*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     25*T1*T2 - 48*T1^2*T2 + 83*T1^3*T2 + 59*T1^4*T2 - 54*T1^5*T2 - 
     13*T1^6*T2 + 9*T1^7*T2 + 4*T2^2 - 48*T1*T2^2 + 109*T1^2*T2^2 + 
     56*T1^3*T2^2 - 267*T1^4*T2^2 + 36*T1^5*T2^2 + 113*T1^6*T2^2 - 
     42*T1^7*T2^2 + 2*T1^8*T2^2 - 28*T2^3 + 83*T1*T2^3 + 56*T1^2*T2^3 - 
     316*T1^3*T2^3 + 140*T1^4*T2^3 + 206*T1^5*T2^3 - 184*T1^6*T2^3 + 
     23*T1^7*T2^3 + 23*T1^8*T2^3 - 7*T1^9*T2^3 + 4*T2^4 + 59*T1*T2^4 - 
     267*T1^2*T2^4 + 140*T1^3*T2^4 + 451*T1^4*T2^4 - 471*T1^5*T2^4 + 
     39*T1^6*T2^4 + 196*T1^7*T2^4 - 137*T1^8*T2^4 + 29*T1^9*T2^4 + 12*T2^5 - 
     54*T1*T2^5 + 36*T1^2*T2^5 + 206*T1^3*T2^5 - 471*T1^4*T2^5 + 
     255*T1^5*T2^5 + 277*T1^6*T2^5 - 416*T1^7*T2^5 + 120*T1^8*T2^5 + 
     17*T1^9*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 13*T1*T2^6 + 113*T1^2*T2^6 - 
     184*T1^3*T2^6 + 39*T1^4*T2^6 + 277*T1^5*T2^6 - 504*T1^6*T2^6 + 
     207*T1^7*T2^6 + 281*T1^8*T2^6 - 184*T1^9*T2^6 + T1^10*T2^6 + 
     5*T1^11*T2^6 + 2*T1^12*T2^6 + 9*T1*T2^7 - 42*T1^2*T2^7 + 23*T1^3*T2^7 + 
     196*T1^4*T2^7 - 416*T1^5*T2^7 + 207*T1^6*T2^7 + 229*T1^7*T2^7 - 
     361*T1^8*T2^7 + 110*T1^9*T2^7 + 4*T1^10*T2^7 + 12*T1^11*T2^7 - 
     6*T1^12*T2^7 + 2*T1^2*T2^8 + 23*T1^3*T2^8 - 137*T1^4*T2^8 + 
     120*T1^5*T2^8 + 281*T1^6*T2^8 - 361*T1^7*T2^8 - 131*T1^8*T2^8 + 
     176*T1^9*T2^8 - 7*T1^10*T2^8 - 7*T1^11*T2^8 - 2*T1^12*T2^8 - 
     7*T1^3*T2^9 + 29*T1^4*T2^9 + 17*T1^5*T2^9 - 184*T1^6*T2^9 + 
     110*T1^7*T2^9 + 176*T1^8*T2^9 - 52*T1^9*T2^9 - 16*T1^10*T2^9 - 
     31*T1^11*T2^9 + 14*T1^12*T2^9 + T1^6*T2^10 + 4*T1^7*T2^10 - 
     7*T1^8*T2^10 - 16*T1^9*T2^10 + 5*T1^10*T2^10 + 6*T1^11*T2^10 - 
     2*T1^12*T2^10 - 3*T1^5*T2^11 + 5*T1^6*T2^11 + 12*T1^7*T2^11 - 
     7*T1^8*T2^11 - 31*T1^9*T2^11 + 6*T1^10*T2^11 + 17*T1^11*T2^11 - 
     6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 - 2*T1^8*T2^12 + 
     14*T1^9*T2^12 - 2*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 20] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 22*T1^2 + 26*T1^3 - 22*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 85*T1^2*T2 - 74*T1^3*T2 + 46*T1^4*T2 + 5*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 22*T2^2 + 85*T1*T2^2 - 118*T1^2*T2^2 + 
     10*T1^3*T2^2 + 68*T1^4*T2^2 - 166*T1^5*T2^2 + 102*T1^6*T2^2 - 
     25*T1^7*T2^2 + 26*T2^3 - 74*T1*T2^3 + 10*T1^2*T2^3 + 262*T1^3*T2^3 - 
     331*T1^4*T2^3 + 365*T1^5*T2^3 - 72*T1^6*T2^3 - 89*T1^7*T2^3 + 
     66*T1^8*T2^3 - 13*T1^9*T2^3 - 22*T2^4 + 46*T1*T2^4 + 68*T1^2*T2^4 - 
     331*T1^3*T2^4 + 187*T1^4*T2^4 - 27*T1^5*T2^4 - 413*T1^6*T2^4 + 
     397*T1^7*T2^4 - 98*T1^8*T2^4 - 44*T1^9*T2^4 + 22*T1^10*T2^4 + 10*T2^5 + 
     5*T1*T2^5 - 166*T1^2*T2^5 + 365*T1^3*T2^5 - 27*T1^4*T2^5 - 
     301*T1^5*T2^5 + 641*T1^6*T2^5 - 280*T1^7*T2^5 - 267*T1^8*T2^5 + 
     241*T1^9*T2^5 - 35*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     102*T1^2*T2^6 - 72*T1^3*T2^6 - 413*T1^4*T2^6 + 641*T1^5*T2^6 - 
     384*T1^6*T2^6 - 325*T1^7*T2^6 + 773*T1^8*T2^6 - 260*T1^9*T2^6 - 
     90*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     25*T1^2*T2^7 - 89*T1^3*T2^7 + 397*T1^4*T2^7 - 280*T1^5*T2^7 - 
     325*T1^6*T2^7 + 617*T1^7*T2^7 - 533*T1^8*T2^7 - 235*T1^9*T2^7 + 
     318*T1^10*T2^7 - 65*T1^11*T2^7 - 20*T1^12*T2^7 + 66*T1^3*T2^8 - 
     98*T1^4*T2^8 - 267*T1^5*T2^8 + 773*T1^6*T2^8 - 533*T1^7*T2^8 + 
     173*T1^8*T2^8 + 461*T1^9*T2^8 - 264*T1^10*T2^8 - 24*T1^11*T2^8 + 
     44*T1^12*T2^8 - 13*T1^3*T2^9 - 44*T1^4*T2^9 + 241*T1^5*T2^9 - 
     260*T1^6*T2^9 - 235*T1^7*T2^9 + 461*T1^8*T2^9 - 594*T1^9*T2^9 + 
     142*T1^10*T2^9 + 96*T1^11*T2^9 - 52*T1^12*T2^9 + 22*T1^4*T2^10 - 
     35*T1^5*T2^10 - 90*T1^6*T2^10 + 318*T1^7*T2^10 - 264*T1^8*T2^10 + 
     142*T1^9*T2^10 + 130*T1^10*T2^10 - 145*T1^11*T2^10 + 44*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 65*T1^7*T2^11 - 24*T1^8*T2^11 + 
     96*T1^9*T2^11 - 145*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 44*T1^8*T2^12 - 52*T1^9*T2^12 + 
     44*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 21] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 198*T1 - 461*T1^2 + 575*T1^3 - 461*T1^4 + 198*T1^5 - 33*T1^6 + 
     198*T2 - 1040*T1*T2 + 1871*T1^2*T2 - 1357*T1^3*T2 + 155*T1^4*T2 + 
     911*T1^5*T2 - 704*T1^6*T2 + 150*T1^7*T2 - 461*T2^2 + 1871*T1*T2^2 - 
     1276*T1^2*T2^2 - 3154*T1^3*T2^2 + 5964*T1^4*T2^2 - 5730*T1^5*T2^2 + 
     1636*T1^6*T2^2 + 527*T1^7*T2^2 - 237*T1^8*T2^2 + 575*T2^3 - 
     1357*T1*T2^3 - 3154*T1^2*T2^3 + 10986*T1^3*T2^3 - 9572*T1^4*T2^3 + 
     3196*T1^5*T2^3 + 5316*T1^6*T2^3 - 4330*T1^7*T2^3 + 491*T1^8*T2^3 + 
     155*T1^9*T2^3 - 461*T2^4 + 155*T1*T2^4 + 5964*T1^2*T2^4 - 
     9572*T1^3*T2^4 - 1922*T1^4*T2^4 + 11548*T1^5*T2^4 - 15418*T1^6*T2^4 + 
     4428*T1^7*T2^4 + 2156*T1^8*T2^4 - 853*T1^9*T2^4 - 13*T1^10*T2^4 + 
     198*T2^5 + 911*T1*T2^5 - 5730*T1^2*T2^5 + 3196*T1^3*T2^5 + 
     11548*T1^4*T2^5 - 14514*T1^5*T2^5 + 8586*T1^6*T2^5 + 6284*T1^7*T2^5 - 
     7108*T1^8*T2^5 + 1046*T1^9*T2^5 + 335*T1^10*T2^5 - 42*T1^11*T2^5 - 
     33*T2^6 - 704*T1*T2^6 + 1636*T1^2*T2^6 + 5316*T1^3*T2^6 - 
     15418*T1^4*T2^6 + 8586*T1^5*T2^6 + 3216*T1^6*T2^6 - 12790*T1^7*T2^6 + 
     5862*T1^8*T2^6 + 1788*T1^9*T2^6 - 1468*T1^10*T2^6 + 160*T1^11*T2^6 + 
     15*T1^12*T2^6 + 150*T1*T2^7 + 527*T1^2*T2^7 - 4330*T1^3*T2^7 + 
     4428*T1^4*T2^7 + 6284*T1^5*T2^7 - 12790*T1^6*T2^7 + 10310*T1^7*T2^7 + 
     1020*T1^8*T2^7 - 5876*T1^9*T2^7 + 2446*T1^10*T2^7 - 49*T1^11*T2^7 - 
     90*T1^12*T2^7 - 237*T1^2*T2^8 + 491*T1^3*T2^8 + 2156*T1^4*T2^8 - 
     7108*T1^5*T2^8 + 5862*T1^6*T2^8 + 1020*T1^7*T2^8 - 7634*T1^8*T2^8 + 
     6892*T1^9*T2^8 - 1652*T1^10*T2^8 - 517*T1^11*T2^8 + 211*T1^12*T2^8 + 
     155*T1^3*T2^9 - 853*T1^4*T2^9 + 1046*T1^5*T2^9 + 1788*T1^6*T2^9 - 
     5876*T1^7*T2^9 + 6892*T1^8*T2^9 - 3882*T1^9*T2^9 - 130*T1^10*T2^9 + 
     995*T1^11*T2^9 - 265*T1^12*T2^9 - 13*T1^4*T2^10 + 335*T1^5*T2^10 - 
     1468*T1^6*T2^10 + 2446*T1^7*T2^10 - 1652*T1^8*T2^10 - 130*T1^9*T2^10 + 
     1444*T1^10*T2^10 - 1009*T1^11*T2^10 + 211*T1^12*T2^10 - 42*T1^5*T2^11 + 
     160*T1^6*T2^11 - 49*T1^7*T2^11 - 517*T1^8*T2^11 + 995*T1^9*T2^11 - 
     1009*T1^10*T2^11 + 496*T1^11*T2^11 - 90*T1^12*T2^11 + 15*T1^6*T2^12 - 
     90*T1^7*T2^12 + 211*T1^8*T2^12 - 265*T1^9*T2^12 + 211*T1^10*T2^12 - 
     90*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 22] -> 
  {(1 - 6*T + 16*T^2 - 29*T^3 + 37*T^4 - 29*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 116*T1^3 - 148*T1^4 + 116*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 408*T1^3*T2 + 
     366*T1^4*T2 - 30*T1^5*T2 - 138*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 409*T1^2*T2^2 + 323*T1^3*T2^2 + 
     249*T1^4*T2^2 - 1209*T1^5*T2^2 + 921*T1^6*T2^2 - 413*T1^7*T2^2 + 
     71*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 116*T2^3 - 408*T1*T2^3 + 
     323*T1^2*T2^3 + 123*T1^3*T2^3 - 1184*T1^4*T2^3 + 2199*T1^5*T2^3 - 
     222*T1^6*T2^3 - 605*T1^7*T2^3 + 621*T1^8*T2^3 - 397*T1^9*T2^3 + 
     18*T1^10*T2^3 + 29*T1^11*T2^3 - 148*T2^4 + 366*T1*T2^4 + 249*T1^2*T2^4 - 
     1184*T1^3*T2^4 + 2533*T1^4*T2^4 - 2822*T1^5*T2^4 - 1321*T1^6*T2^4 + 
     1082*T1^7*T2^4 - 143*T1^8*T2^4 - 256*T1^9*T2^4 + 529*T1^10*T2^4 - 
     174*T1^11*T2^4 + 116*T2^5 - 30*T1*T2^5 - 1209*T1^2*T2^5 + 
     2199*T1^3*T2^5 - 2822*T1^4*T2^5 + 1365*T1^5*T2^5 + 3729*T1^6*T2^5 - 
     115*T1^7*T2^5 - 2043*T1^8*T2^5 + 1585*T1^9*T2^5 - 1004*T1^10*T2^5 + 
     3*T1^11*T2^5 + 174*T1^12*T2^5 - 29*T1^13*T2^5 - 64*T2^6 - 138*T1*T2^6 + 
     921*T1^2*T2^6 - 222*T1^3*T2^6 - 1321*T1^4*T2^6 + 3729*T1^5*T2^6 - 
     5783*T1^6*T2^6 - 2615*T1^7*T2^6 + 4513*T1^8*T2^6 - 1231*T1^9*T2^6 - 
     193*T1^10*T2^6 + 1026*T1^11*T2^6 - 535*T1^12*T2^6 - 18*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 413*T1^2*T2^7 - 605*T1^3*T2^7 + 
     1082*T1^4*T2^7 - 115*T1^5*T2^7 - 2615*T1^6*T2^7 + 10773*T1^7*T2^7 - 
     7671*T1^8*T2^7 - 458*T1^9*T2^7 + 1497*T1^10*T2^7 - 1313*T1^11*T2^7 + 
     212*T1^12*T2^7 + 403*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 71*T1^2*T2^8 + 621*T1^3*T2^8 - 143*T1^4*T2^8 - 
     2043*T1^5*T2^8 + 4513*T1^6*T2^8 - 7671*T1^7*T2^8 + 984*T1^8*T2^8 + 
     7291*T1^9*T2^8 - 3445*T1^10*T2^8 + 1251*T1^11*T2^8 + 181*T1^12*T2^8 - 
     617*T1^13*T2^8 - 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 397*T1^3*T2^9 - 256*T1^4*T2^9 + 
     1585*T1^5*T2^9 - 1231*T1^6*T2^9 - 458*T1^7*T2^9 + 7291*T1^8*T2^9 - 
     11153*T1^9*T2^9 + 1699*T1^10*T2^9 + 381*T1^11*T2^9 - 810*T1^12*T2^9 + 
     561*T1^13*T2^9 + 419*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 18*T1^3*T2^10 + 529*T1^4*T2^10 - 1004*T1^5*T2^10 - 
     193*T1^6*T2^10 + 1497*T1^7*T2^10 - 3445*T1^8*T2^10 + 1699*T1^9*T2^10 + 
     6851*T1^10*T2^10 - 3463*T1^11*T2^10 + 935*T1^12*T2^10 + 
     244*T1^13*T2^10 - 927*T1^14*T2^10 + 138*T1^15*T2^10 + 64*T1^16*T2^10 + 
     29*T1^3*T2^11 - 174*T1^4*T2^11 + 3*T1^5*T2^11 + 1026*T1^6*T2^11 - 
     1313*T1^7*T2^11 + 1251*T1^8*T2^11 + 381*T1^9*T2^11 - 3463*T1^10*T2^11 - 
     2157*T1^11*T2^11 + 3094*T1^12*T2^11 - 2177*T1^13*T2^11 + 
     1215*T1^14*T2^11 + 30*T1^15*T2^11 - 116*T1^16*T2^11 + 174*T1^5*T2^12 - 
     535*T1^6*T2^12 + 212*T1^7*T2^12 + 181*T1^8*T2^12 - 810*T1^9*T2^12 + 
     935*T1^10*T2^12 + 3094*T1^11*T2^12 - 2495*T1^12*T2^12 + 
     1140*T1^13*T2^12 - 255*T1^14*T2^12 - 366*T1^15*T2^12 + 148*T1^16*T2^12 - 
     29*T1^5*T2^13 - 18*T1^6*T2^13 + 403*T1^7*T2^13 - 617*T1^8*T2^13 + 
     561*T1^9*T2^13 + 244*T1^10*T2^13 - 2177*T1^11*T2^13 + 1140*T1^12*T2^13 - 
     119*T1^13*T2^13 - 317*T1^14*T2^13 + 408*T1^15*T2^13 - 116*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 73*T1^8*T2^14 + 419*T1^9*T2^14 - 
     927*T1^10*T2^14 + 1215*T1^11*T2^14 - 255*T1^12*T2^14 - 317*T1^13*T2^14 + 
     407*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 138*T1^10*T2^15 + 30*T1^11*T2^15 - 
     366*T1^12*T2^15 + 408*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     116*T1^11*T2^16 + 148*T1^12*T2^16 - 116*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 23] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   -((2*T1^2 + 2*T1*T2 - 9*T1^2*T2 - 9*T1^3*T2 + 2*T1^4*T2 + 2*T2^2 - 
      9*T1*T2^2 - 5*T1^2*T2^2 + 65*T1^3*T2^2 - 5*T1^4*T2^2 - 9*T1^5*T2^2 + 
      2*T1^6*T2^2 - 9*T1*T2^3 + 65*T1^2*T2^3 - 112*T1^3*T2^3 - 42*T1^4*T2^3 + 
      45*T1^5*T2^3 - 9*T1^6*T2^3 + 2*T1*T2^4 - 5*T1^2*T2^4 - 42*T1^3*T2^4 + 
      168*T1^4*T2^4 - 82*T1^5*T2^4 + 11*T1^6*T2^4 + 2*T1^7*T2^4 - 
      9*T1^2*T2^5 + 45*T1^3*T2^5 - 82*T1^4*T2^5 - 12*T1^5*T2^5 + 
      25*T1^6*T2^5 - 9*T1^7*T2^5 + 2*T1^2*T2^6 - 9*T1^3*T2^6 + 11*T1^4*T2^6 + 
      25*T1^5*T2^6 + 11*T1^6*T2^6 - 9*T1^7*T2^6 + 2*T1^8*T2^6 + 2*T1^4*T2^7 - 
      9*T1^5*T2^7 - 9*T1^6*T2^7 + 2*T1^7*T2^7 + 2*T1^6*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 24] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 116*T1^3*T2 + 14*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 123*T1^2*T2^2 + 
      T1^3*T2^2 + 279*T1^4*T2^2 - 219*T1^5*T2^2 + 97*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 116*T1*T2^3 + T1^2*T2^3 + 
      254*T1^3*T2^3 - 576*T1^4*T2^3 + 134*T1^5*T2^3 + 94*T1^6*T2^3 - 
      164*T1^7*T2^3 + 54*T1^8*T2^3 - 33*T2^4 + 14*T1*T2^4 + 279*T1^2*T2^4 - 
      576*T1^3*T2^4 + 646*T1^4*T2^4 + 290*T1^5*T2^4 - 414*T1^6*T2^4 + 
      264*T1^7*T2^4 + 13*T1^8*T2^4 - 56*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 219*T1^2*T2^5 + 134*T1^3*T2^5 + 290*T1^4*T2^5 - 
      1179*T1^5*T2^5 + 621*T1^6*T2^5 + 15*T1^7*T2^5 - 316*T1^8*T2^5 + 
      166*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      97*T1^2*T2^6 + 94*T1^3*T2^6 - 414*T1^4*T2^6 + 621*T1^5*T2^6 + 
      324*T1^6*T2^6 - 829*T1^7*T2^6 + 572*T1^8*T2^6 - 106*T1^9*T2^6 - 
      95*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 164*T1^3*T2^7 + 264*T1^4*T2^7 + 15*T1^5*T2^7 - 
      829*T1^6*T2^7 + 971*T1^7*T2^7 - 260*T1^8*T2^7 - 186*T1^9*T2^7 + 
      221*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      54*T1^3*T2^8 + 13*T1^4*T2^8 - 316*T1^5*T2^8 + 572*T1^6*T2^8 - 
      260*T1^7*T2^8 - 488*T1^8*T2^8 + 524*T1^9*T2^8 - 253*T1^10*T2^8 - 
      16*T1^11*T2^8 + 33*T1^12*T2^8 - 56*T1^4*T2^9 + 166*T1^5*T2^9 - 
      106*T1^6*T2^9 - 186*T1^7*T2^9 + 524*T1^8*T2^9 - 266*T1^9*T2^9 + 
      T1^10*T2^9 + 114*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 95*T1^6*T2^10 + 221*T1^7*T2^10 - 253*T1^8*T2^10 + 
      T1^9*T2^10 + 125*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 16*T1^8*T2^11 + 
      114*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 25] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + T^4)/T^2), 
   -((-1 + 3*T1 - 3*T1^2 + 3*T1^3 - T1^4 + 3*T2 - 9*T1*T2 + 8*T1^2*T2 - 
      10*T1^3*T2 + 3*T1^4*T2 - 3*T2^2 + 8*T1*T2^2 + 6*T1^3*T2^2 + 
      12*T1^4*T2^2 - 10*T1^5*T2^2 + 3*T1^6*T2^2 + 3*T2^3 - 10*T1*T2^3 + 
      6*T1^2*T2^3 - 18*T1^3*T2^3 - 36*T1^4*T2^3 + 15*T1^5*T2^3 + 
      8*T1^6*T2^3 - 6*T1^7*T2^3 - T2^4 + 3*T1*T2^4 + 12*T1^2*T2^4 - 
      36*T1^3*T2^4 + 96*T1^4*T2^4 - 12*T1^5*T2^4 - 30*T1^6*T2^4 + 
      9*T1^7*T2^4 + 3*T1^8*T2^4 - 10*T1^2*T2^5 + 15*T1^3*T2^5 - 
      12*T1^4*T2^5 - 30*T1^5*T2^5 + 24*T1^6*T2^5 + 8*T1^7*T2^5 - 
      9*T1^8*T2^5 + 3*T1^2*T2^6 + 8*T1^3*T2^6 - 30*T1^4*T2^6 + 24*T1^5*T2^6 - 
      18*T1^6*T2^6 - 10*T1^7*T2^6 + 9*T1^8*T2^6 - 6*T1^3*T2^7 + 9*T1^4*T2^7 + 
      8*T1^5*T2^7 - 10*T1^6*T2^7 + 21*T1^7*T2^7 - 9*T1^8*T2^7 + 3*T1^4*T2^8 - 
      9*T1^5*T2^8 + 9*T1^6*T2^8 - 9*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 26] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 126*T1 - 278*T1^2 + 367*T1^3 - 278*T1^4 + 126*T1^5 - 25*T1^6 + 
      126*T2 - 548*T1*T2 + 963*T1^2*T2 - 887*T1^3*T2 + 133*T1^4*T2 + 
      323*T1^5*T2 - 308*T1^6*T2 + 86*T1^7*T2 - 278*T2^2 + 963*T1*T2^2 - 
      1017*T1^2*T2^2 - 139*T1^3*T2^2 + 2007*T1^4*T2^2 - 1811*T1^5*T2^2 + 
      743*T1^6*T2^2 + 83*T1^7*T2^2 - 102*T1^8*T2^2 + 367*T2^3 - 887*T1*T2^3 - 
      139*T1^2*T2^3 + 2352*T1^3*T2^3 - 4137*T1^4*T2^3 + 1515*T1^5*T2^3 + 
      706*T1^6*T2^3 - 1327*T1^7*T2^3 + 413*T1^8*T2^3 + 19*T1^9*T2^3 - 
      278*T2^4 + 133*T1*T2^4 + 2007*T1^2*T2^4 - 4137*T1^3*T2^4 + 
      4035*T1^4*T2^4 + 1539*T1^5*T2^4 - 3465*T1^6*T2^4 + 2359*T1^7*T2^4 + 
      79*T1^8*T2^4 - 467*T1^9*T2^4 + 74*T1^10*T2^4 + 126*T2^5 + 323*T1*T2^5 - 
      1811*T1^2*T2^5 + 1515*T1^3*T2^5 + 1539*T1^4*T2^5 - 7310*T1^5*T2^5 + 
      5308*T1^6*T2^5 - 617*T1^7*T2^5 - 2449*T1^8*T2^5 + 1313*T1^9*T2^5 + 
      3*T1^10*T2^5 - 74*T1^11*T2^5 - 25*T2^6 - 308*T1*T2^6 + 743*T1^2*T2^6 + 
      706*T1^3*T2^6 - 3465*T1^4*T2^6 + 5308*T1^5*T2^6 + 432*T1^6*T2^6 - 
      5324*T1^7*T2^6 + 4823*T1^8*T2^6 - 870*T1^9*T2^6 - 793*T1^10*T2^6 + 
      252*T1^11*T2^6 + 23*T1^12*T2^6 + 86*T1*T2^7 + 83*T1^2*T2^7 - 
      1327*T1^3*T2^7 + 2359*T1^4*T2^7 - 617*T1^5*T2^7 - 5324*T1^6*T2^7 + 
      7294*T1^7*T2^7 - 2773*T1^8*T2^7 - 1605*T1^9*T2^7 + 1797*T1^10*T2^7 - 
      237*T1^11*T2^7 - 114*T1^12*T2^7 - 102*T1^2*T2^8 + 413*T1^3*T2^8 + 
      79*T1^4*T2^8 - 2449*T1^5*T2^8 + 4823*T1^6*T2^8 - 2773*T1^7*T2^8 - 
      2677*T1^8*T2^8 + 4047*T1^9*T2^8 - 1849*T1^10*T2^8 - 187*T1^11*T2^8 + 
      250*T1^12*T2^8 + 19*T1^3*T2^9 - 467*T1^4*T2^9 + 1313*T1^5*T2^9 - 
      870*T1^6*T2^9 - 1605*T1^7*T2^9 + 4047*T1^8*T2^9 - 2516*T1^9*T2^9 + 
      125*T1^10*T2^9 + 833*T1^11*T2^9 - 329*T1^12*T2^9 + 74*T1^4*T2^10 + 
      3*T1^5*T2^10 - 793*T1^6*T2^10 + 1797*T1^7*T2^10 - 1849*T1^8*T2^10 + 
      125*T1^9*T2^10 + 967*T1^10*T2^10 - 877*T1^11*T2^10 + 250*T1^12*T2^10 - 
      74*T1^5*T2^11 + 252*T1^6*T2^11 - 237*T1^7*T2^11 - 187*T1^8*T2^11 + 
      833*T1^9*T2^11 - 877*T1^10*T2^11 + 492*T1^11*T2^11 - 114*T1^12*T2^11 + 
      23*T1^6*T2^12 - 114*T1^7*T2^12 + 250*T1^8*T2^12 - 329*T1^9*T2^12 + 
      250*T1^10*T2^12 - 114*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 27] -> 
  {-((1 - 6*T + 16*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 125*T1^3 - 135*T1^4 + 125*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      366*T1^3*T2 + 210*T1^4*T2 - 102*T1^5*T2 - 120*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 - 
      23*T1^3*T2^2 + 692*T1^4*T2^2 - 719*T1^5*T2^2 + 1044*T1^6*T2^2 - 
      631*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      125*T2^3 - 366*T1*T2^3 - 23*T1^2*T2^3 + 1371*T1^3*T2^3 - 
      1970*T1^4*T2^3 + 889*T1^5*T2^3 - 1028*T1^6*T2^3 - 509*T1^7*T2^3 + 
      1209*T1^8*T2^3 - 551*T1^9*T2^3 - 12*T1^10*T2^3 + 50*T1^11*T2^3 - 
      135*T2^4 + 210*T1*T2^4 + 692*T1^2*T2^4 - 1970*T1^3*T2^4 + 
      865*T1^4*T2^4 + 1808*T1^5*T2^4 - 1115*T1^6*T2^4 + 3056*T1^7*T2^4 - 
      2027*T1^8*T2^4 - 170*T1^9*T2^4 + 620*T1^10*T2^4 - 138*T1^11*T2^4 - 
      27*T1^12*T2^4 + 125*T2^5 - 102*T1*T2^5 - 719*T1^2*T2^5 + 
      889*T1^3*T2^5 + 1808*T1^4*T2^5 - 4021*T1^5*T2^5 + 1174*T1^6*T2^5 - 
      2450*T1^7*T2^5 - 409*T1^8*T2^5 + 2269*T1^9*T2^5 - 962*T1^10*T2^5 - 
      203*T1^11*T2^5 + 162*T1^12*T2^5 - 80*T2^6 - 120*T1*T2^6 + 
      1044*T1^2*T2^6 - 1028*T1^3*T2^6 - 1115*T1^4*T2^6 + 1174*T1^5*T2^6 + 
      2942*T1^6*T2^6 - 856*T1^7*T2^6 + 2486*T1^8*T2^6 - 2042*T1^9*T2^6 - 
      563*T1^10*T2^6 + 988*T1^11*T2^6 - 156*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 631*T1^2*T2^7 - 509*T1^3*T2^7 + 
      3056*T1^4*T2^7 - 2450*T1^5*T2^7 - 856*T1^6*T2^7 - 2393*T1^7*T2^7 + 
      1441*T1^8*T2^7 - 973*T1^9*T2^7 + 1990*T1^10*T2^7 - 553*T1^11*T2^7 - 
      614*T1^12*T2^7 + 377*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1209*T1^3*T2^8 - 2027*T1^4*T2^8 - 
      409*T1^5*T2^8 + 2486*T1^6*T2^8 + 1441*T1^7*T2^8 - 456*T1^8*T2^8 - 
      1073*T1^9*T2^8 + 88*T1^10*T2^8 - 1627*T1^11*T2^8 + 1673*T1^12*T2^8 - 
      429*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 551*T1^3*T2^9 - 170*T1^4*T2^9 + 
      2269*T1^5*T2^9 - 2042*T1^6*T2^9 - 973*T1^7*T2^9 - 1073*T1^8*T2^9 + 
      2761*T1^9*T2^9 - 1090*T1^10*T2^9 + 2398*T1^11*T2^9 - 1340*T1^12*T2^9 - 
      275*T1^13*T2^9 + 457*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 12*T1^3*T2^10 + 620*T1^4*T2^10 - 962*T1^5*T2^10 - 
      563*T1^6*T2^10 + 1990*T1^7*T2^10 + 88*T1^8*T2^10 - 1090*T1^9*T2^10 - 
      368*T1^10*T2^10 - 1226*T1^11*T2^10 - 11*T1^12*T2^10 + 
      1054*T1^13*T2^10 - 580*T1^14*T2^10 + 12*T1^15*T2^10 + 48*T1^16*T2^10 + 
      50*T1^3*T2^11 - 138*T1^4*T2^11 - 203*T1^5*T2^11 + 988*T1^6*T2^11 - 
      553*T1^7*T2^11 - 1627*T1^8*T2^11 + 2398*T1^9*T2^11 - 1226*T1^10*T2^11 + 
      1985*T1^11*T2^11 - 92*T1^12*T2^11 - 863*T1^13*T2^11 + 313*T1^14*T2^11 + 
      126*T1^15*T2^11 - 75*T1^16*T2^11 - 27*T1^4*T2^12 + 162*T1^5*T2^12 - 
      156*T1^6*T2^12 - 614*T1^7*T2^12 + 1673*T1^8*T2^12 - 1340*T1^9*T2^12 - 
      11*T1^10*T2^12 - 92*T1^11*T2^12 - 1219*T1^12*T2^12 + 1186*T1^13*T2^12 - 
      228*T1^14*T2^12 - 186*T1^15*T2^12 + 81*T1^16*T2^12 - 96*T1^6*T2^13 + 
      377*T1^7*T2^13 - 429*T1^8*T2^13 - 275*T1^9*T2^13 + 1054*T1^10*T2^13 - 
      863*T1^11*T2^13 + 1186*T1^12*T2^13 - 591*T1^13*T2^13 - 
      151*T1^14*T2^13 + 258*T1^15*T2^13 - 75*T1^16*T2^13 + 16*T1^6*T2^14 - 
      24*T1^7*T2^14 - 127*T1^8*T2^14 + 457*T1^9*T2^14 - 580*T1^10*T2^14 + 
      313*T1^11*T2^14 - 228*T1^12*T2^14 - 151*T1^13*T2^14 + 353*T1^14*T2^14 - 
      216*T1^15*T2^14 + 48*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      84*T1^9*T2^15 + 12*T1^10*T2^15 + 126*T1^11*T2^15 - 186*T1^12*T2^15 + 
      258*T1^13*T2^15 - 216*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 48*T1^10*T2^16 - 75*T1^11*T2^16 + 
      81*T1^12*T2^16 - 75*T1^13*T2^16 + 48*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 28] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   -((T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
      T2^2 + 2*T1*T2^2 + 13*T1^2*T2^2 - 59*T1^3*T2^2 + 89*T1^4*T2^2 - 
      59*T1^5*T2^2 + 13*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 - 
      59*T1^2*T2^3 + 210*T1^3*T2^3 - 256*T1^4*T2^3 + 80*T1^5*T2^3 + 
      50*T1^6*T2^3 - 27*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 + 89*T1^2*T2^4 - 
      256*T1^3*T2^4 + 96*T1^4*T2^4 + 364*T1^5*T2^4 - 476*T1^6*T2^4 + 
      160*T1^7*T2^4 - 15*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 - 59*T1^2*T2^5 + 
      80*T1^3*T2^5 + 364*T1^4*T2^5 - 896*T1^5*T2^5 + 808*T1^6*T2^5 - 
      52*T1^7*T2^5 - 96*T1^8*T2^5 + 37*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 + 
      13*T1^2*T2^6 + 50*T1^3*T2^6 - 476*T1^4*T2^6 + 808*T1^5*T2^6 - 
      552*T1^6*T2^6 - 472*T1^7*T2^6 + 340*T1^8*T2^6 - 78*T1^9*T2^6 - 
      19*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 - 27*T1^3*T2^7 + 
      160*T1^4*T2^7 - 52*T1^5*T2^7 - 472*T1^6*T2^7 + 1232*T1^7*T2^7 - 
      468*T1^8*T2^7 - 16*T1^9*T2^7 + 69*T1^10*T2^7 + 2*T1^11*T2^7 + 
      T1^2*T2^8 - 15*T1^4*T2^8 - 96*T1^5*T2^8 + 340*T1^6*T2^8 - 
      468*T1^7*T2^8 - 232*T1^8*T2^8 + 320*T1^9*T2^8 - 119*T1^10*T2^8 + 
      T1^12*T2^8 - 2*T1^3*T2^9 + 37*T1^5*T2^9 - 78*T1^6*T2^9 - 16*T1^7*T2^9 + 
      320*T1^8*T2^9 - 238*T1^9*T2^9 + 69*T1^10*T2^9 - 2*T1^12*T2^9 + 
      T1^4*T2^10 + 2*T1^5*T2^10 - 19*T1^6*T2^10 + 69*T1^7*T2^10 - 
      119*T1^8*T2^10 + 69*T1^9*T2^10 - 19*T1^10*T2^10 + 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 - 
      2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 29] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 198*T1 - 462*T1^2 + 577*T1^3 - 462*T1^4 + 198*T1^5 - 33*T1^6 + 
     198*T2 - 1038*T1*T2 + 1869*T1^2*T2 - 1357*T1^3*T2 + 155*T1^4*T2 + 
     909*T1^5*T2 - 702*T1^6*T2 + 150*T1^7*T2 - 462*T2^2 + 1869*T1*T2^2 - 
     1274*T1^2*T2^2 - 3154*T1^3*T2^2 + 5966*T1^4*T2^2 - 5730*T1^5*T2^2 + 
     1638*T1^6*T2^2 + 525*T1^7*T2^2 - 238*T1^8*T2^2 + 577*T2^3 - 
     1357*T1*T2^3 - 3154*T1^2*T2^3 + 10986*T1^3*T2^3 - 9574*T1^4*T2^3 + 
     3194*T1^5*T2^3 + 5316*T1^6*T2^3 - 4330*T1^7*T2^3 + 491*T1^8*T2^3 + 
     157*T1^9*T2^3 - 462*T2^4 + 155*T1*T2^4 + 5966*T1^2*T2^4 - 
     9574*T1^3*T2^4 - 1922*T1^4*T2^4 + 11550*T1^5*T2^4 - 15418*T1^6*T2^4 + 
     4426*T1^7*T2^4 + 2158*T1^8*T2^4 - 853*T1^9*T2^4 - 14*T1^10*T2^4 + 
     198*T2^5 + 909*T1*T2^5 - 5730*T1^2*T2^5 + 3194*T1^3*T2^5 + 
     11550*T1^4*T2^5 - 14512*T1^5*T2^5 + 8588*T1^6*T2^5 + 6286*T1^7*T2^5 - 
     7110*T1^8*T2^5 + 1046*T1^9*T2^5 + 333*T1^10*T2^5 - 42*T1^11*T2^5 - 
     33*T2^6 - 702*T1*T2^6 + 1638*T1^2*T2^6 + 5316*T1^3*T2^6 - 
     15418*T1^4*T2^6 + 8588*T1^5*T2^6 + 3204*T1^6*T2^6 - 12788*T1^7*T2^6 + 
     5862*T1^8*T2^6 + 1788*T1^9*T2^6 - 1466*T1^10*T2^6 + 162*T1^11*T2^6 + 
     15*T1^12*T2^6 + 150*T1*T2^7 + 525*T1^2*T2^7 - 4330*T1^3*T2^7 + 
     4426*T1^4*T2^7 + 6286*T1^5*T2^7 - 12788*T1^6*T2^7 + 10312*T1^7*T2^7 + 
     1022*T1^8*T2^7 - 5878*T1^9*T2^7 + 2446*T1^10*T2^7 - 51*T1^11*T2^7 - 
     90*T1^12*T2^7 - 238*T1^2*T2^8 + 491*T1^3*T2^8 + 2158*T1^4*T2^8 - 
     7110*T1^5*T2^8 + 5862*T1^6*T2^8 + 1022*T1^7*T2^8 - 7634*T1^8*T2^8 + 
     6890*T1^9*T2^8 - 1650*T1^10*T2^8 - 517*T1^11*T2^8 + 210*T1^12*T2^8 + 
     157*T1^3*T2^9 - 853*T1^4*T2^9 + 1046*T1^5*T2^9 + 1788*T1^6*T2^9 - 
     5878*T1^7*T2^9 + 6890*T1^8*T2^9 - 3882*T1^9*T2^9 - 130*T1^10*T2^9 + 
     995*T1^11*T2^9 - 263*T1^12*T2^9 - 14*T1^4*T2^10 + 333*T1^5*T2^10 - 
     1466*T1^6*T2^10 + 2446*T1^7*T2^10 - 1650*T1^8*T2^10 - 130*T1^9*T2^10 + 
     1446*T1^10*T2^10 - 1011*T1^11*T2^10 + 210*T1^12*T2^10 - 42*T1^5*T2^11 + 
     162*T1^6*T2^11 - 51*T1^7*T2^11 - 517*T1^8*T2^11 + 995*T1^9*T2^11 - 
     1011*T1^10*T2^11 + 498*T1^11*T2^11 - 90*T1^12*T2^11 + 15*T1^6*T2^12 - 
     90*T1^7*T2^12 + 210*T1^8*T2^12 - 263*T1^9*T2^12 + 210*T1^10*T2^12 - 
     90*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 30] -> 
  {(1 - 6*T + 16*T^2 - 29*T^3 + 37*T^4 - 29*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 116*T1^3 - 148*T1^4 + 116*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 408*T1^3*T2 + 
     366*T1^4*T2 - 30*T1^5*T2 - 138*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 409*T1^2*T2^2 + 323*T1^3*T2^2 + 
     248*T1^4*T2^2 - 1207*T1^5*T2^2 + 920*T1^6*T2^2 - 413*T1^7*T2^2 + 
     71*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 116*T2^3 - 408*T1*T2^3 + 
     323*T1^2*T2^3 + 125*T1^3*T2^3 - 1186*T1^4*T2^3 + 2199*T1^5*T2^3 - 
     222*T1^6*T2^3 - 607*T1^7*T2^3 + 623*T1^8*T2^3 - 397*T1^9*T2^3 + 
     18*T1^10*T2^3 + 29*T1^11*T2^3 - 148*T2^4 + 366*T1*T2^4 + 248*T1^2*T2^4 - 
     1186*T1^3*T2^4 + 2535*T1^4*T2^4 - 2822*T1^5*T2^4 - 1319*T1^6*T2^4 + 
     1082*T1^7*T2^4 - 141*T1^8*T2^4 - 258*T1^9*T2^4 + 528*T1^10*T2^4 - 
     174*T1^11*T2^4 + 116*T2^5 - 30*T1*T2^5 - 1207*T1^2*T2^5 + 
     2199*T1^3*T2^5 - 2822*T1^4*T2^5 + 1365*T1^5*T2^5 + 3727*T1^6*T2^5 - 
     117*T1^7*T2^5 - 2043*T1^8*T2^5 + 1585*T1^9*T2^5 - 1004*T1^10*T2^5 + 
     5*T1^11*T2^5 + 174*T1^12*T2^5 - 29*T1^13*T2^5 - 64*T2^6 - 138*T1*T2^6 + 
     920*T1^2*T2^6 - 222*T1^3*T2^6 - 1319*T1^4*T2^6 + 3727*T1^5*T2^6 - 
     5783*T1^6*T2^6 - 2613*T1^7*T2^6 + 4513*T1^8*T2^6 - 1233*T1^9*T2^6 - 
     191*T1^10*T2^6 + 1026*T1^11*T2^6 - 536*T1^12*T2^6 - 18*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 413*T1^2*T2^7 - 607*T1^3*T2^7 + 
     1082*T1^4*T2^7 - 117*T1^5*T2^7 - 2613*T1^6*T2^7 + 10775*T1^7*T2^7 - 
     7669*T1^8*T2^7 - 456*T1^9*T2^7 + 1495*T1^10*T2^7 - 1313*T1^11*T2^7 + 
     210*T1^12*T2^7 + 403*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 71*T1^2*T2^8 + 623*T1^3*T2^8 - 141*T1^4*T2^8 - 
     2043*T1^5*T2^8 + 4513*T1^6*T2^8 - 7669*T1^7*T2^8 + 972*T1^8*T2^8 + 
     7293*T1^9*T2^8 - 3445*T1^10*T2^8 + 1251*T1^11*T2^8 + 183*T1^12*T2^8 - 
     615*T1^13*T2^8 - 73*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 397*T1^3*T2^9 - 258*T1^4*T2^9 + 
     1585*T1^5*T2^9 - 1233*T1^6*T2^9 - 456*T1^7*T2^9 + 7293*T1^8*T2^9 - 
     11151*T1^9*T2^9 + 1701*T1^10*T2^9 + 379*T1^11*T2^9 - 810*T1^12*T2^9 + 
     559*T1^13*T2^9 + 419*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 18*T1^3*T2^10 + 528*T1^4*T2^10 - 1004*T1^5*T2^10 - 
     191*T1^6*T2^10 + 1495*T1^7*T2^10 - 3445*T1^8*T2^10 + 1701*T1^9*T2^10 + 
     6851*T1^10*T2^10 - 3465*T1^11*T2^10 + 937*T1^12*T2^10 + 
     244*T1^13*T2^10 - 928*T1^14*T2^10 + 138*T1^15*T2^10 + 64*T1^16*T2^10 + 
     29*T1^3*T2^11 - 174*T1^4*T2^11 + 5*T1^5*T2^11 + 1026*T1^6*T2^11 - 
     1313*T1^7*T2^11 + 1251*T1^8*T2^11 + 379*T1^9*T2^11 - 3465*T1^10*T2^11 - 
     2157*T1^11*T2^11 + 3094*T1^12*T2^11 - 2177*T1^13*T2^11 + 
     1217*T1^14*T2^11 + 30*T1^15*T2^11 - 116*T1^16*T2^11 + 174*T1^5*T2^12 - 
     536*T1^6*T2^12 + 210*T1^7*T2^12 + 183*T1^8*T2^12 - 810*T1^9*T2^12 + 
     937*T1^10*T2^12 + 3094*T1^11*T2^12 - 2493*T1^12*T2^12 + 
     1138*T1^13*T2^12 - 256*T1^14*T2^12 - 366*T1^15*T2^12 + 148*T1^16*T2^12 - 
     29*T1^5*T2^13 - 18*T1^6*T2^13 + 403*T1^7*T2^13 - 615*T1^8*T2^13 + 
     559*T1^9*T2^13 + 244*T1^10*T2^13 - 2177*T1^11*T2^13 + 1138*T1^12*T2^13 - 
     117*T1^13*T2^13 - 317*T1^14*T2^13 + 408*T1^15*T2^13 - 116*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 73*T1^8*T2^14 + 419*T1^9*T2^14 - 
     928*T1^10*T2^14 + 1217*T1^11*T2^14 - 256*T1^12*T2^14 - 317*T1^13*T2^14 + 
     407*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 138*T1^10*T2^15 + 30*T1^11*T2^15 - 
     366*T1^12*T2^15 + 408*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     116*T1^11*T2^16 + 148*T1^12*T2^16 - 116*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 31] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   -((T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
      T2^2 + 2*T1*T2^2 - 2*T1^2*T2^2 - 2*T1^6*T2^2 + 2*T1^7*T2^2 + 
      T1^8*T2^2 - 2*T2^3 + 2*T1^3*T2^3 - 7*T1^4*T2^3 - 7*T1^5*T2^3 + 
      2*T1^6*T2^3 - 2*T1^9*T2^3 + T2^4 - 7*T1^3*T2^4 - 5*T1^4*T2^4 + 
      63*T1^5*T2^4 - 5*T1^6*T2^4 - 7*T1^7*T2^4 + T1^10*T2^4 + 2*T1*T2^5 - 
      7*T1^3*T2^5 + 63*T1^4*T2^5 - 114*T1^5*T2^5 - 44*T1^6*T2^5 + 
      43*T1^7*T2^5 - 7*T1^8*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 2*T1^2*T2^6 + 
      2*T1^3*T2^6 - 5*T1^4*T2^6 - 44*T1^5*T2^6 + 180*T1^6*T2^6 - 
      84*T1^7*T2^6 + 11*T1^8*T2^6 + 2*T1^9*T2^6 - 2*T1^10*T2^6 - 
      2*T1^11*T2^6 + 2*T1^2*T2^7 - 7*T1^4*T2^7 + 43*T1^5*T2^7 - 
      84*T1^6*T2^7 - 14*T1^7*T2^7 + 23*T1^8*T2^7 - 7*T1^9*T2^7 + 
      2*T1^11*T2^7 + T1^2*T2^8 - 7*T1^5*T2^8 + 11*T1^6*T2^8 + 23*T1^7*T2^8 + 
      11*T1^8*T2^8 - 7*T1^9*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 2*T1^6*T2^9 - 
      7*T1^7*T2^9 - 7*T1^8*T2^9 + 2*T1^9*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 
      2*T1^5*T2^10 - 2*T1^6*T2^10 - 2*T1^10*T2^10 + 2*T1^11*T2^10 + 
      T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 - 
      2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 32] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 126*T1 - 279*T1^2 + 369*T1^3 - 279*T1^4 + 126*T1^5 - 25*T1^6 + 
      126*T2 - 546*T1*T2 + 961*T1^2*T2 - 887*T1^3*T2 + 133*T1^4*T2 + 
      321*T1^5*T2 - 306*T1^6*T2 + 86*T1^7*T2 - 279*T2^2 + 961*T1*T2^2 - 
      1015*T1^2*T2^2 - 139*T1^3*T2^2 + 2009*T1^4*T2^2 - 1811*T1^5*T2^2 + 
      745*T1^6*T2^2 + 81*T1^7*T2^2 - 103*T1^8*T2^2 + 369*T2^3 - 887*T1*T2^3 - 
      139*T1^2*T2^3 + 2352*T1^3*T2^3 - 4139*T1^4*T2^3 + 1513*T1^5*T2^3 + 
      706*T1^6*T2^3 - 1327*T1^7*T2^3 + 413*T1^8*T2^3 + 21*T1^9*T2^3 - 
      279*T2^4 + 133*T1*T2^4 + 2009*T1^2*T2^4 - 4139*T1^3*T2^4 + 
      4035*T1^4*T2^4 + 1541*T1^5*T2^4 - 3465*T1^6*T2^4 + 2357*T1^7*T2^4 + 
      81*T1^8*T2^4 - 467*T1^9*T2^4 + 73*T1^10*T2^4 + 126*T2^5 + 321*T1*T2^5 - 
      1811*T1^2*T2^5 + 1513*T1^3*T2^5 + 1541*T1^4*T2^5 - 7308*T1^5*T2^5 + 
      5310*T1^6*T2^5 - 615*T1^7*T2^5 - 2451*T1^8*T2^5 + 1313*T1^9*T2^5 + 
      T1^10*T2^5 - 74*T1^11*T2^5 - 25*T2^6 - 306*T1*T2^6 + 745*T1^2*T2^6 + 
      706*T1^3*T2^6 - 3465*T1^4*T2^6 + 5310*T1^5*T2^6 + 420*T1^6*T2^6 - 
      5322*T1^7*T2^6 + 4823*T1^8*T2^6 - 870*T1^9*T2^6 - 791*T1^10*T2^6 + 
      254*T1^11*T2^6 + 23*T1^12*T2^6 + 86*T1*T2^7 + 81*T1^2*T2^7 - 
      1327*T1^3*T2^7 + 2357*T1^4*T2^7 - 615*T1^5*T2^7 - 5322*T1^6*T2^7 + 
      7296*T1^7*T2^7 - 2771*T1^8*T2^7 - 1607*T1^9*T2^7 + 1797*T1^10*T2^7 - 
      239*T1^11*T2^7 - 114*T1^12*T2^7 - 103*T1^2*T2^8 + 413*T1^3*T2^8 + 
      81*T1^4*T2^8 - 2451*T1^5*T2^8 + 4823*T1^6*T2^8 - 2771*T1^7*T2^8 - 
      2677*T1^8*T2^8 + 4045*T1^9*T2^8 - 1847*T1^10*T2^8 - 187*T1^11*T2^8 + 
      249*T1^12*T2^8 + 21*T1^3*T2^9 - 467*T1^4*T2^9 + 1313*T1^5*T2^9 - 
      870*T1^6*T2^9 - 1607*T1^7*T2^9 + 4045*T1^8*T2^9 - 2516*T1^9*T2^9 + 
      125*T1^10*T2^9 + 833*T1^11*T2^9 - 327*T1^12*T2^9 + 73*T1^4*T2^10 + 
      T1^5*T2^10 - 791*T1^6*T2^10 + 1797*T1^7*T2^10 - 1847*T1^8*T2^10 + 
      125*T1^9*T2^10 + 969*T1^10*T2^10 - 879*T1^11*T2^10 + 249*T1^12*T2^10 - 
      74*T1^5*T2^11 + 254*T1^6*T2^11 - 239*T1^7*T2^11 - 187*T1^8*T2^11 + 
      833*T1^9*T2^11 - 879*T1^10*T2^11 + 494*T1^11*T2^11 - 114*T1^12*T2^11 + 
      23*T1^6*T2^12 - 114*T1^7*T2^12 + 249*T1^8*T2^12 - 327*T1^9*T2^12 + 
      249*T1^10*T2^12 - 114*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 33] -> 
  {-((1 - 6*T + 16*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 125*T1^3 - 135*T1^4 + 125*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      366*T1^3*T2 + 210*T1^4*T2 - 102*T1^5*T2 - 120*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 - 
      23*T1^3*T2^2 + 691*T1^4*T2^2 - 717*T1^5*T2^2 + 1043*T1^6*T2^2 - 
      631*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      125*T2^3 - 366*T1*T2^3 - 23*T1^2*T2^3 + 1373*T1^3*T2^3 - 
      1972*T1^4*T2^3 + 889*T1^5*T2^3 - 1028*T1^6*T2^3 - 511*T1^7*T2^3 + 
      1211*T1^8*T2^3 - 551*T1^9*T2^3 - 12*T1^10*T2^3 + 50*T1^11*T2^3 - 
      135*T2^4 + 210*T1*T2^4 + 691*T1^2*T2^4 - 1972*T1^3*T2^4 + 
      867*T1^4*T2^4 + 1808*T1^5*T2^4 - 1113*T1^6*T2^4 + 3056*T1^7*T2^4 - 
      2025*T1^8*T2^4 - 172*T1^9*T2^4 + 619*T1^10*T2^4 - 138*T1^11*T2^4 - 
      27*T1^12*T2^4 + 125*T2^5 - 102*T1*T2^5 - 717*T1^2*T2^5 + 
      889*T1^3*T2^5 + 1808*T1^4*T2^5 - 4021*T1^5*T2^5 + 1172*T1^6*T2^5 - 
      2452*T1^7*T2^5 - 409*T1^8*T2^5 + 2269*T1^9*T2^5 - 962*T1^10*T2^5 - 
      201*T1^11*T2^5 + 162*T1^12*T2^5 - 80*T2^6 - 120*T1*T2^6 + 
      1043*T1^2*T2^6 - 1028*T1^3*T2^6 - 1113*T1^4*T2^6 + 1172*T1^5*T2^6 + 
      2942*T1^6*T2^6 - 854*T1^7*T2^6 + 2486*T1^8*T2^6 - 2044*T1^9*T2^6 - 
      561*T1^10*T2^6 + 988*T1^11*T2^6 - 157*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 631*T1^2*T2^7 - 511*T1^3*T2^7 + 
      3056*T1^4*T2^7 - 2452*T1^5*T2^7 - 854*T1^6*T2^7 - 2391*T1^7*T2^7 + 
      1443*T1^8*T2^7 - 971*T1^9*T2^7 + 1988*T1^10*T2^7 - 553*T1^11*T2^7 - 
      616*T1^12*T2^7 + 377*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1211*T1^3*T2^8 - 2025*T1^4*T2^8 - 
      409*T1^5*T2^8 + 2486*T1^6*T2^8 + 1443*T1^7*T2^8 - 468*T1^8*T2^8 - 
      1071*T1^9*T2^8 + 88*T1^10*T2^8 - 1627*T1^11*T2^8 + 1675*T1^12*T2^8 - 
      427*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 551*T1^3*T2^9 - 172*T1^4*T2^9 + 
      2269*T1^5*T2^9 - 2044*T1^6*T2^9 - 971*T1^7*T2^9 - 1071*T1^8*T2^9 + 
      2763*T1^9*T2^9 - 1088*T1^10*T2^9 + 2396*T1^11*T2^9 - 1340*T1^12*T2^9 - 
      277*T1^13*T2^9 + 457*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 12*T1^3*T2^10 + 619*T1^4*T2^10 - 962*T1^5*T2^10 - 
      561*T1^6*T2^10 + 1988*T1^7*T2^10 + 88*T1^8*T2^10 - 1088*T1^9*T2^10 - 
      368*T1^10*T2^10 - 1228*T1^11*T2^10 - 9*T1^12*T2^10 + 1054*T1^13*T2^10 - 
      581*T1^14*T2^10 + 12*T1^15*T2^10 + 48*T1^16*T2^10 + 50*T1^3*T2^11 - 
      138*T1^4*T2^11 - 201*T1^5*T2^11 + 988*T1^6*T2^11 - 553*T1^7*T2^11 - 
      1627*T1^8*T2^11 + 2396*T1^9*T2^11 - 1228*T1^10*T2^11 + 
      1985*T1^11*T2^11 - 92*T1^12*T2^11 - 863*T1^13*T2^11 + 315*T1^14*T2^11 + 
      126*T1^15*T2^11 - 75*T1^16*T2^11 - 27*T1^4*T2^12 + 162*T1^5*T2^12 - 
      157*T1^6*T2^12 - 616*T1^7*T2^12 + 1675*T1^8*T2^12 - 1340*T1^9*T2^12 - 
      9*T1^10*T2^12 - 92*T1^11*T2^12 - 1217*T1^12*T2^12 + 1184*T1^13*T2^12 - 
      229*T1^14*T2^12 - 186*T1^15*T2^12 + 81*T1^16*T2^12 - 96*T1^6*T2^13 + 
      377*T1^7*T2^13 - 427*T1^8*T2^13 - 277*T1^9*T2^13 + 1054*T1^10*T2^13 - 
      863*T1^11*T2^13 + 1184*T1^12*T2^13 - 589*T1^13*T2^13 - 
      151*T1^14*T2^13 + 258*T1^15*T2^13 - 75*T1^16*T2^13 + 16*T1^6*T2^14 - 
      24*T1^7*T2^14 - 127*T1^8*T2^14 + 457*T1^9*T2^14 - 581*T1^10*T2^14 + 
      315*T1^11*T2^14 - 229*T1^12*T2^14 - 151*T1^13*T2^14 + 353*T1^14*T2^14 - 
      216*T1^15*T2^14 + 48*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      84*T1^9*T2^15 + 12*T1^10*T2^15 + 126*T1^11*T2^15 - 186*T1^12*T2^15 + 
      258*T1^13*T2^15 - 216*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 48*T1^10*T2^16 - 75*T1^11*T2^16 + 
      81*T1^12*T2^16 - 75*T1^13*T2^16 + 48*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 34] -> {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-15 + 59*T1 - 91*T1^2 + 59*T1^3 - 15*T1^4 + 59*T2 - 210*T1*T2 + 
     258*T1^2*T2 - 78*T1^3*T2 - 50*T1^4*T2 + 27*T1^5*T2 - 91*T2^2 + 
     258*T1*T2^2 - 96*T1^2*T2^2 - 366*T1^3*T2^2 + 476*T1^4*T2^2 - 
     158*T1^5*T2^2 + 13*T1^6*T2^2 + 59*T2^3 - 78*T1*T2^3 - 366*T1^2*T2^3 + 
     894*T1^3*T2^3 - 810*T1^4*T2^3 + 50*T1^5*T2^3 + 98*T1^6*T2^3 - 
     37*T1^7*T2^3 - 15*T2^4 - 50*T1*T2^4 + 476*T1^2*T2^4 - 810*T1^3*T2^4 + 
     564*T1^4*T2^4 + 470*T1^5*T2^4 - 340*T1^6*T2^4 + 78*T1^7*T2^4 + 
     17*T1^8*T2^4 + 27*T1*T2^5 - 158*T1^2*T2^5 + 50*T1^3*T2^5 + 
     470*T1^4*T2^5 - 1234*T1^5*T2^5 + 466*T1^6*T2^5 + 18*T1^7*T2^5 - 
     69*T1^8*T2^5 + 13*T1^2*T2^6 + 98*T1^3*T2^6 - 340*T1^4*T2^6 + 
     466*T1^5*T2^6 + 232*T1^6*T2^6 - 318*T1^7*T2^6 + 117*T1^8*T2^6 - 
     37*T1^3*T2^7 + 78*T1^4*T2^7 + 18*T1^5*T2^7 - 318*T1^6*T2^7 + 
     238*T1^7*T2^7 - 69*T1^8*T2^7 + 17*T1^4*T2^8 - 69*T1^5*T2^8 + 
     117*T1^6*T2^8 - 69*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 35] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 48*T1^2 + 69*T1^3 - 48*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 217*T1^2*T2 - 224*T1^3*T2 + 10*T1^4*T2 + 85*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 48*T2^2 + 217*T1*T2^2 - 365*T1^2*T2^2 + 
      75*T1^3*T2^2 + 621*T1^4*T2^2 - 469*T1^5*T2^2 + 115*T1^6*T2^2 + 
      25*T1^7*T2^2 - 16*T1^8*T2^2 + 69*T2^3 - 224*T1*T2^3 + 75*T1^2*T2^3 + 
      877*T1^3*T2^3 - 1808*T1^4*T2^3 + 418*T1^5*T2^3 + 421*T1^6*T2^3 - 
      357*T1^7*T2^3 + 94*T1^8*T2^3 - 48*T2^4 + 10*T1*T2^4 + 621*T1^2*T2^4 - 
      1808*T1^3*T2^4 + 1616*T1^4*T2^4 + 1706*T1^5*T2^4 - 2116*T1^6*T2^4 + 
      860*T1^7*T2^4 - 11*T1^8*T2^4 - 98*T1^9*T2^4 + 16*T1^10*T2^4 + 18*T2^5 + 
      85*T1*T2^5 - 469*T1^2*T2^5 + 418*T1^3*T2^5 + 1706*T1^4*T2^5 - 
      5118*T1^5*T2^5 + 3108*T1^6*T2^5 + 42*T1^7*T2^5 - 924*T1^8*T2^5 + 
      411*T1^9*T2^5 - 23*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      115*T1^2*T2^6 + 421*T1^3*T2^6 - 2116*T1^4*T2^6 + 3108*T1^5*T2^6 + 
      552*T1^6*T2^6 - 3472*T1^7*T2^6 + 2348*T1^8*T2^6 - 485*T1^9*T2^6 - 
      141*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      25*T1^2*T2^7 - 357*T1^3*T2^7 + 860*T1^4*T2^7 + 42*T1^5*T2^7 - 
      3472*T1^6*T2^7 + 4754*T1^7*T2^7 - 1622*T1^8*T2^7 - 482*T1^9*T2^7 + 
      523*T1^10*T2^7 - 83*T1^11*T2^7 - 18*T1^12*T2^7 - 16*T1^2*T2^8 + 
      94*T1^3*T2^8 - 11*T1^4*T2^8 - 924*T1^5*T2^8 + 2348*T1^6*T2^8 - 
      1622*T1^7*T2^8 - 1384*T1^8*T2^8 + 1744*T1^9*T2^8 - 643*T1^10*T2^8 - 
      14*T1^11*T2^8 + 48*T1^12*T2^8 - 98*T1^4*T2^9 + 411*T1^5*T2^9 - 
      485*T1^6*T2^9 - 482*T1^7*T2^9 + 1744*T1^8*T2^9 - 941*T1^9*T2^9 - 
      21*T1^10*T2^9 + 220*T1^11*T2^9 - 69*T1^12*T2^9 + 16*T1^4*T2^10 - 
      23*T1^5*T2^10 - 141*T1^6*T2^10 + 523*T1^7*T2^10 - 643*T1^8*T2^10 - 
      21*T1^9*T2^10 + 339*T1^10*T2^10 - 215*T1^11*T2^10 + 48*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 83*T1^7*T2^11 - 14*T1^8*T2^11 + 
      220*T1^9*T2^11 - 215*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 69*T1^9*T2^12 + 
      48*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 36] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 44*T1^2 + 58*T1^3 - 44*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     118*T1*T2 + 284*T1^2*T2 - 288*T1^3*T2 + 120*T1^4*T2 + 44*T1^5*T2 - 
     46*T1^6*T2 + 8*T1^7*T2 - 44*T2^2 + 284*T1*T2^2 - 480*T1^2*T2^2 - 
     33*T1^3*T2^2 + 782*T1^4*T2^2 - 957*T1^5*T2^2 + 444*T1^6*T2^2 - 
     68*T1^7*T2^2 + 58*T2^3 - 288*T1*T2^3 - 33*T1^2*T2^3 + 1939*T1^3*T2^3 - 
     3539*T1^4*T2^3 + 2827*T1^5*T2^3 - 731*T1^6*T2^3 - 363*T1^7*T2^3 + 
     232*T1^8*T2^3 - 29*T1^9*T2^3 - 44*T2^4 + 120*T1*T2^4 + 782*T1^2*T2^4 - 
     3539*T1^3*T2^4 + 4383*T1^4*T2^4 - 509*T1^5*T2^4 - 3513*T1^6*T2^4 + 
     3653*T1^7*T2^4 - 994*T1^8*T2^4 - 120*T1^9*T2^4 + 44*T1^10*T2^4 + 
     16*T2^5 + 44*T1*T2^5 - 957*T1^2*T2^5 + 2827*T1^3*T2^5 - 509*T1^4*T2^5 - 
     7314*T1^5*T2^5 + 9744*T1^6*T2^5 - 4689*T1^7*T2^5 - 1887*T1^8*T2^5 + 
     1749*T1^9*T2^5 - 164*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 46*T1*T2^6 + 
     444*T1^2*T2^6 - 731*T1^3*T2^6 - 3513*T1^4*T2^6 + 9744*T1^5*T2^6 - 
     4512*T1^6*T2^6 - 5256*T1^7*T2^6 + 9523*T1^8*T2^6 - 3017*T1^9*T2^6 - 
     504*T1^10*T2^6 + 162*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     68*T1^2*T2^7 - 363*T1^3*T2^7 + 3653*T1^4*T2^7 - 4689*T1^5*T2^7 - 
     5256*T1^6*T2^7 + 11802*T1^7*T2^7 - 8869*T1^8*T2^7 - 1061*T1^9*T2^7 + 
     2343*T1^10*T2^7 - 276*T1^11*T2^7 - 32*T1^12*T2^7 + 232*T1^3*T2^8 - 
     994*T1^4*T2^8 - 1887*T1^5*T2^8 + 9523*T1^6*T2^8 - 8869*T1^7*T2^8 + 
     1627*T1^8*T2^8 + 5305*T1^9*T2^8 - 2770*T1^10*T2^8 - 8*T1^11*T2^8 + 
     88*T1^12*T2^8 - 29*T1^3*T2^9 - 120*T1^4*T2^9 + 1749*T1^5*T2^9 - 
     3017*T1^6*T2^9 - 1061*T1^7*T2^9 + 5305*T1^8*T2^9 - 5687*T1^9*T2^9 + 
     1419*T1^10*T2^9 + 400*T1^11*T2^9 - 116*T1^12*T2^9 + 44*T1^4*T2^10 - 
     164*T1^5*T2^10 - 504*T1^6*T2^10 + 2343*T1^7*T2^10 - 2770*T1^8*T2^10 + 
     1419*T1^9*T2^10 + 420*T1^10*T2^10 - 516*T1^11*T2^10 + 88*T1^12*T2^10 - 
     24*T1^5*T2^11 + 162*T1^6*T2^11 - 276*T1^7*T2^11 - 8*T1^8*T2^11 + 
     400*T1^9*T2^11 - 516*T1^10*T2^11 + 234*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 88*T1^8*T2^12 - 116*T1^9*T2^12 + 
     88*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 37] -> 
  {(1 - 5*T + 8*T^2 - 5*T^3 + 3*T^4 - 5*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 30*T1^3 - 18*T1^4 + 30*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 + 50*T1^3*T2 - 35*T1^4*T2 - 
     75*T1^5*T2 + 115*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     48*T2^2 + 115*T1*T2^2 + 207*T1^2*T2^2 - 594*T1^3*T2^2 + 220*T1^4*T2^2 + 
     29*T1^5*T2^2 + 140*T1^6*T2^2 - 594*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 30*T2^3 + 50*T1*T2^3 - 594*T1^2*T2^3 + 
     653*T1^3*T2^3 + 294*T1^4*T2^3 - 230*T1^5*T2^3 - 355*T1^6*T2^3 + 
     694*T1^7*T2^3 + 223*T1^8*T2^3 - 474*T1^9*T2^3 + 85*T1^10*T2^3 + 
     15*T1^11*T2^3 - 18*T2^4 - 35*T1*T2^4 + 220*T1^2*T2^4 + 294*T1^3*T2^4 - 
     1088*T1^4*T2^4 + 425*T1^5*T2^4 + 54*T1^6*T2^4 + 175*T1^7*T2^4 - 
     1064*T1^8*T2^4 + 584*T1^9*T2^4 + 66*T1^10*T2^4 - 45*T1^11*T2^4 - 
     6*T1^12*T2^4 + 30*T2^5 - 75*T1*T2^5 + 29*T1^2*T2^5 - 230*T1^3*T2^5 + 
     425*T1^4*T2^5 + 90*T1^5*T2^5 - 88*T1^6*T2^5 - 148*T1^7*T2^5 + 
     400*T1^8*T2^5 + 100*T1^9*T2^5 - 225*T1^10*T2^5 + 14*T1^11*T2^5 + 
     5*T1^12*T2^5 + 5*T1^13*T2^5 - 48*T2^6 + 115*T1*T2^6 + 140*T1^2*T2^6 - 
     355*T1^3*T2^6 + 54*T1^4*T2^6 - 88*T1^5*T2^6 + 70*T1^6*T2^6 - 
     208*T1^7*T2^6 + 166*T1^8*T2^6 - 128*T1^9*T2^6 + 34*T1^10*T2^6 - 
     35*T1^11*T2^6 + 72*T1^12*T2^6 - 25*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     594*T1^2*T2^7 + 694*T1^3*T2^7 + 175*T1^4*T2^7 - 148*T1^5*T2^7 - 
     208*T1^6*T2^7 + 572*T1^7*T2^7 - 378*T1^8*T2^7 - 53*T1^9*T2^7 - 
     48*T1^10*T2^7 + 200*T1^11*T2^7 - 146*T1^12*T2^7 + 6*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     223*T1^3*T2^8 - 1064*T1^4*T2^8 + 400*T1^5*T2^8 + 166*T1^6*T2^8 - 
     378*T1^7*T2^8 + 48*T1^8*T2^8 + 382*T1^9*T2^8 - 8*T1^10*T2^8 - 
     120*T1^11*T2^8 + 8*T1^12*T2^8 + 153*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     474*T1^3*T2^9 + 584*T1^4*T2^9 + 100*T1^5*T2^9 - 128*T1^6*T2^9 - 
     53*T1^7*T2^9 + 382*T1^8*T2^9 - 568*T1^9*T2^9 + 102*T1^10*T2^9 - 
     28*T1^11*T2^9 + 125*T1^12*T2^9 - 256*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 85*T1^3*T2^10 + 
     66*T1^4*T2^10 - 225*T1^5*T2^10 + 34*T1^6*T2^10 - 48*T1^7*T2^10 - 
     8*T1^8*T2^10 + 102*T1^9*T2^10 + 88*T1^10*T2^10 - 88*T1^11*T2^10 + 
     14*T1^12*T2^10 + 95*T1^13*T2^10 - 2*T1^14*T2^10 - 55*T1^15*T2^10 + 
     16*T1^16*T2^10 + 15*T1^3*T2^11 - 45*T1^4*T2^11 + 14*T1^5*T2^11 - 
     35*T1^6*T2^11 + 200*T1^7*T2^11 - 120*T1^8*T2^11 - 28*T1^9*T2^11 - 
     88*T1^10*T2^11 + 190*T1^11*T2^11 - 125*T1^12*T2^11 - 30*T1^13*T2^11 - 
     T1^14*T2^11 + 35*T1^15*T2^11 - 10*T1^16*T2^11 - 6*T1^4*T2^12 + 
     5*T1^5*T2^12 + 72*T1^6*T2^12 - 146*T1^7*T2^12 + 8*T1^8*T2^12 + 
     125*T1^9*T2^12 + 14*T1^10*T2^12 - 125*T1^11*T2^12 + 32*T1^12*T2^12 + 
     144*T1^13*T2^12 - 82*T1^14*T2^12 - 5*T1^15*T2^12 + 6*T1^16*T2^12 + 
     5*T1^5*T2^13 - 25*T1^6*T2^13 + 6*T1^7*T2^13 + 153*T1^8*T2^13 - 
     256*T1^9*T2^13 + 95*T1^10*T2^13 - 30*T1^11*T2^13 + 144*T1^12*T2^13 - 
     277*T1^13*T2^13 + 126*T1^14*T2^13 + 10*T1^15*T2^13 - 10*T1^16*T2^13 + 
     25*T1^7*T2^14 - 111*T1^8*T2^14 + 126*T1^9*T2^14 - 2*T1^10*T2^14 - 
     T1^11*T2^14 - 82*T1^12*T2^14 + 126*T1^13*T2^14 + T1^14*T2^14 - 
     55*T1^15*T2^14 + 16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     10*T1^9*T2^15 - 55*T1^10*T2^15 + 35*T1^11*T2^15 - 5*T1^12*T2^15 + 
     10*T1^13*T2^15 - 55*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 16*T1^10*T2^16 - 10*T1^11*T2^16 + 
     6*T1^12*T2^16 - 10*T1^13*T2^16 + 16*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 38] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (-2 + 12*T1 - 32*T1^2 + 42*T1^3 - 32*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 157*T1^2*T2 - 156*T1^3*T2 + 66*T1^4*T2 + 25*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 32*T2^2 + 157*T1*T2^2 - 309*T1^2*T2^2 + 
     112*T1^3*T2^2 + 213*T1^4*T2^2 - 368*T1^5*T2^2 + 171*T1^6*T2^2 - 
     35*T1^7*T2^2 + 42*T2^3 - 156*T1*T2^3 + 112*T1^2*T2^3 + 651*T1^3*T2^3 - 
     1195*T1^4*T2^3 + 971*T1^5*T2^3 - 75*T1^6*T2^3 - 224*T1^7*T2^3 + 
     126*T1^8*T2^3 - 21*T1^9*T2^3 - 32*T2^4 + 66*T1*T2^4 + 213*T1^2*T2^4 - 
     1195*T1^3*T2^4 + 1154*T1^4*T2^4 + 200*T1^5*T2^4 - 1666*T1^6*T2^4 + 
     1241*T1^7*T2^4 - 275*T1^8*T2^4 - 66*T1^9*T2^4 + 32*T1^10*T2^4 + 
     12*T2^5 + 25*T1*T2^5 - 368*T1^2*T2^5 + 971*T1^3*T2^5 + 200*T1^4*T2^5 - 
     2716*T1^5*T2^5 + 3590*T1^6*T2^5 - 1336*T1^7*T2^5 - 655*T1^8*T2^5 + 
     544*T1^9*T2^5 - 83*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     171*T1^2*T2^6 - 75*T1^3*T2^6 - 1666*T1^4*T2^6 + 3590*T1^5*T2^6 - 
     1860*T1^6*T2^6 - 1966*T1^7*T2^6 + 3086*T1^8*T2^6 - 969*T1^9*T2^6 - 
     85*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     35*T1^2*T2^7 - 224*T1^3*T2^7 + 1241*T1^4*T2^7 - 1336*T1^5*T2^7 - 
     1966*T1^6*T2^7 + 4340*T1^7*T2^7 - 2872*T1^8*T2^7 - 385*T1^9*T2^7 + 
     688*T1^10*T2^7 - 143*T1^11*T2^7 - 24*T1^12*T2^7 + 126*T1^3*T2^8 - 
     275*T1^4*T2^8 - 655*T1^5*T2^8 + 3086*T1^6*T2^8 - 2872*T1^7*T2^8 + 
     266*T1^8*T2^8 + 1781*T1^9*T2^8 - 763*T1^10*T2^8 - 6*T1^11*T2^8 + 
     64*T1^12*T2^8 - 21*T1^3*T2^9 - 66*T1^4*T2^9 + 544*T1^5*T2^9 - 
     969*T1^6*T2^9 - 385*T1^7*T2^9 + 1781*T1^8*T2^9 - 1695*T1^9*T2^9 + 
     208*T1^10*T2^9 + 216*T1^11*T2^9 - 84*T1^12*T2^9 + 32*T1^4*T2^10 - 
     83*T1^5*T2^10 - 85*T1^6*T2^10 + 688*T1^7*T2^10 - 763*T1^8*T2^10 + 
     208*T1^9*T2^10 + 395*T1^10*T2^10 - 275*T1^11*T2^10 + 64*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 143*T1^7*T2^11 - 6*T1^8*T2^11 + 
     216*T1^9*T2^11 - 275*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 64*T1^8*T2^12 - 84*T1^9*T2^12 + 
     64*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 39] -> 
  {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 66*T1^2 + 93*T1^3 - 66*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      174*T1*T2 + 396*T1^2*T2 - 388*T1^3*T2 + 36*T1^4*T2 + 156*T1^5*T2 - 
      102*T1^6*T2 + 16*T1^7*T2 - 66*T2^2 + 396*T1*T2^2 - 474*T1^2*T2^2 - 
      506*T1^3*T2^2 + 1872*T1^4*T2^2 - 1518*T1^5*T2^2 + 450*T1^6*T2^2 + 
      44*T1^7*T2^2 - 22*T1^8*T2^2 + 93*T2^3 - 388*T1*T2^3 - 506*T1^2*T2^3 + 
      3263*T1^3*T2^3 - 4802*T1^4*T2^3 + 1736*T1^5*T2^3 + 959*T1^6*T2^3 - 
      968*T1^7*T2^3 + 180*T1^8*T2^3 - 66*T2^4 + 36*T1*T2^4 + 1872*T1^2*T2^4 - 
      4802*T1^3*T2^4 + 3257*T1^4*T2^4 + 3919*T1^5*T2^4 - 6303*T1^6*T2^4 + 
      2886*T1^7*T2^4 - 160*T1^8*T2^4 - 172*T1^9*T2^4 + 22*T1^10*T2^4 + 
      24*T2^5 + 156*T1*T2^5 - 1518*T1^2*T2^5 + 1736*T1^3*T2^5 + 
      3919*T1^4*T2^5 - 11456*T1^5*T2^5 + 9210*T1^6*T2^5 - 525*T1^7*T2^5 - 
      2502*T1^8*T2^5 + 1144*T1^9*T2^5 - 52*T1^10*T2^5 - 16*T1^11*T2^5 - 
      3*T2^6 - 102*T1*T2^6 + 450*T1^2*T2^6 + 959*T1^3*T2^6 - 6303*T1^4*T2^6 + 
      9210*T1^5*T2^6 - 2184*T1^6*T2^6 - 7726*T1^7*T2^6 + 6221*T1^8*T2^6 - 
      1339*T1^9*T2^6 - 498*T1^10*T2^6 + 106*T1^11*T2^6 + 3*T1^12*T2^6 + 
      16*T1*T2^7 + 44*T1^2*T2^7 - 968*T1^3*T2^7 + 2886*T1^4*T2^7 - 
      525*T1^5*T2^7 - 7726*T1^6*T2^7 + 12940*T1^7*T2^7 - 4969*T1^8*T2^7 - 
      1352*T1^9*T2^7 + 1694*T1^10*T2^7 - 164*T1^11*T2^7 - 24*T1^12*T2^7 - 
      22*T1^2*T2^8 + 180*T1^3*T2^8 - 160*T1^4*T2^8 - 2502*T1^5*T2^8 + 
      6221*T1^6*T2^8 - 4969*T1^7*T2^8 - 3339*T1^8*T2^8 + 5186*T1^9*T2^8 - 
      2192*T1^10*T2^8 - 28*T1^11*T2^8 + 66*T1^12*T2^8 - 172*T1^4*T2^9 + 
      1144*T1^5*T2^9 - 1339*T1^6*T2^9 - 1352*T1^7*T2^9 + 5186*T1^8*T2^9 - 
      3643*T1^9*T2^9 + 682*T1^10*T2^9 + 396*T1^11*T2^9 - 93*T1^12*T2^9 + 
      22*T1^4*T2^10 - 52*T1^5*T2^10 - 498*T1^6*T2^10 + 1694*T1^7*T2^10 - 
      2192*T1^8*T2^10 + 682*T1^9*T2^10 + 426*T1^10*T2^10 - 404*T1^11*T2^10 + 
      66*T1^12*T2^10 - 16*T1^5*T2^11 + 106*T1^6*T2^11 - 164*T1^7*T2^11 - 
      28*T1^8*T2^11 + 396*T1^9*T2^11 - 404*T1^10*T2^11 + 178*T1^11*T2^11 - 
      24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 66*T1^8*T2^12 - 
      93*T1^9*T2^12 + 66*T1^10*T2^12 - 24*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 40] -> 
  {-((1 - 5*T + 10*T^2 - 11*T^3 + 9*T^4 - 11*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 50*T1^2 + 55*T1^3 - 45*T1^4 + 55*T1^5 - 50*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 150*T1^2*T2 - 75*T1^3*T2 + 
      5*T1^4*T2 - 95*T1^5*T2 + 30*T1^6*T2 + 75*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 50*T2^2 + 150*T1*T2^2 - 32*T1^2*T2^2 - 294*T1^3*T2^2 + 
      343*T1^4*T2^2 - 14*T1^5*T2^2 + 323*T1^6*T2^2 - 414*T1^7*T2^2 + 
      148*T1^8*T2^2 + 50*T1^9*T2^2 - 30*T1^10*T2^2 + 55*T2^3 - 75*T1*T2^3 - 
      294*T1^2*T2^3 + 655*T1^3*T2^3 - 312*T1^4*T2^3 - 231*T1^5*T2^3 - 
      538*T1^6*T2^3 + 276*T1^7*T2^3 + 301*T1^8*T2^3 - 324*T1^9*T2^3 + 
      40*T1^10*T2^3 + 22*T1^11*T2^3 - 45*T2^4 + 5*T1*T2^4 + 343*T1^2*T2^4 - 
      312*T1^3*T2^4 - 421*T1^4*T2^4 + 724*T1^5*T2^4 + 397*T1^6*T2^4 + 
      398*T1^7*T2^4 - 793*T1^8*T2^4 + 282*T1^9*T2^4 + 153*T1^10*T2^4 - 
      65*T1^11*T2^4 - 9*T1^12*T2^4 + 55*T2^5 - 95*T1*T2^5 - 14*T1^2*T2^5 - 
      231*T1^3*T2^5 + 724*T1^4*T2^5 - 580*T1^5*T2^5 - 401*T1^6*T2^5 - 
      591*T1^7*T2^5 + 500*T1^8*T2^5 + 199*T1^9*T2^5 - 316*T1^10*T2^5 + 
      T1^11*T2^5 + 45*T1^12*T2^5 - 50*T2^6 + 30*T1*T2^6 + 323*T1^2*T2^6 - 
      538*T1^3*T2^6 + 397*T1^4*T2^6 - 401*T1^5*T2^6 + 1014*T1^6*T2^6 - 
      108*T1^7*T2^6 + 54*T1^8*T2^6 - 381*T1^9*T2^6 + 137*T1^10*T2^6 + 
      102*T1^11*T2^6 + 3*T1^12*T2^6 - 50*T1^13*T2^6 + 10*T1^14*T2^6 + 
      25*T2^7 + 75*T1*T2^7 - 414*T1^2*T2^7 + 276*T1^3*T2^7 + 398*T1^4*T2^7 - 
      591*T1^5*T2^7 - 108*T1^6*T2^7 - 670*T1^7*T2^7 + 740*T1^8*T2^7 + 
      T1^9*T2^7 + 19*T1^10*T2^7 + 127*T1^11*T2^7 - 288*T1^12*T2^7 + 
      156*T1^13*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 148*T1^2*T2^8 + 
      301*T1^3*T2^8 - 793*T1^4*T2^8 + 500*T1^5*T2^8 + 54*T1^6*T2^8 + 
      740*T1^7*T2^8 - 384*T1^8*T2^8 - 592*T1^9*T2^8 + 232*T1^10*T2^8 - 
      460*T1^11*T2^8 + 419*T1^12*T2^8 - 45*T1^13*T2^8 - 122*T1^14*T2^8 + 
      35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 50*T1^2*T2^9 - 
      324*T1^3*T2^9 + 282*T1^4*T2^9 + 199*T1^5*T2^9 - 381*T1^6*T2^9 + 
      T1^7*T2^9 - 592*T1^8*T2^9 + 818*T1^9*T2^9 + 110*T1^10*T2^9 + 
      229*T1^11*T2^9 - 72*T1^12*T2^9 - 282*T1^13*T2^9 + 246*T1^14*T2^9 - 
      25*T1^15*T2^9 - 15*T1^16*T2^9 - 30*T1^2*T2^10 + 40*T1^3*T2^10 + 
      153*T1^4*T2^10 - 316*T1^5*T2^10 + 137*T1^6*T2^10 + 19*T1^7*T2^10 + 
      232*T1^8*T2^10 + 110*T1^9*T2^10 - 728*T1^10*T2^10 + 39*T1^11*T2^10 - 
      123*T1^12*T2^10 + 324*T1^13*T2^10 - 167*T1^14*T2^10 - 40*T1^15*T2^10 + 
      30*T1^16*T2^10 + 22*T1^3*T2^11 - 65*T1^4*T2^11 + T1^5*T2^11 + 
      102*T1^6*T2^11 + 127*T1^7*T2^11 - 460*T1^8*T2^11 + 229*T1^9*T2^11 + 
      39*T1^10*T2^11 + 620*T1^11*T2^11 - 398*T1^12*T2^11 + 17*T1^13*T2^11 + 
      16*T1^14*T2^11 + 75*T1^15*T2^11 - 33*T1^16*T2^11 - 9*T1^4*T2^12 + 
      45*T1^5*T2^12 + 3*T1^6*T2^12 - 288*T1^7*T2^12 + 419*T1^8*T2^12 - 
      72*T1^9*T2^12 - 123*T1^10*T2^12 - 398*T1^11*T2^12 + 47*T1^12*T2^12 + 
      306*T1^13*T2^12 - 187*T1^14*T2^12 - 25*T1^15*T2^12 + 27*T1^16*T2^12 - 
      50*T1^6*T2^13 + 156*T1^7*T2^13 - 45*T1^8*T2^13 - 282*T1^9*T2^13 + 
      324*T1^10*T2^13 + 17*T1^11*T2^13 + 306*T1^12*T2^13 - 399*T1^13*T2^13 + 
      126*T1^14*T2^13 + 65*T1^15*T2^13 - 33*T1^16*T2^13 + 10*T1^6*T2^14 - 
      122*T1^8*T2^14 + 246*T1^9*T2^14 - 167*T1^10*T2^14 + 16*T1^11*T2^14 - 
      187*T1^12*T2^14 + 126*T1^13*T2^14 + 58*T1^14*T2^14 - 100*T1^15*T2^14 + 
      30*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 25*T1^9*T2^15 - 
      40*T1^10*T2^15 + 75*T1^11*T2^15 - 25*T1^12*T2^15 + 65*T1^13*T2^15 - 
      100*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 33*T1^11*T2^16 + 27*T1^12*T2^16 - 
      33*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 41] -> 
  {(1 - 4*T + 4*T^2 - T^3 + 4*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 8*T1^2 + 2*T1^3 - 8*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 16*T1^2*T2 + 8*T1^3*T2 + 28*T1^4*T2 - 16*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 8*T2^2 + 16*T1*T2^2 + 34*T1^2*T2^2 - 
     64*T1^3*T2^2 - 4*T1^4*T2^2 - 40*T1^5*T2^2 + 58*T1^6*T2^2 - 
     16*T1^7*T2^2 + 2*T2^3 + 8*T1*T2^3 - 64*T1^2*T2^3 + 85*T1^3*T2^3 - 
     18*T1^4*T2^3 + 38*T1^5*T2^3 - 37*T1^6*T2^3 + 4*T1^7*T2^3 + 4*T1^8*T2^3 - 
     T1^9*T2^3 - 8*T2^4 + 28*T1*T2^4 - 4*T1^2*T2^4 - 18*T1^3*T2^4 - 
     76*T1^4*T2^4 + 46*T1^5*T2^4 - 4*T1^6*T2^4 - 10*T1^7*T2^4 + 
     28*T1^8*T2^4 - 28*T1^9*T2^4 + 8*T1^10*T2^4 + 8*T2^5 - 16*T1*T2^5 - 
     40*T1^2*T2^5 + 38*T1^3*T2^5 + 46*T1^4*T2^5 + 170*T1^5*T2^5 - 
     94*T1^6*T2^5 + 30*T1^7*T2^5 - 114*T1^8*T2^5 + 68*T1^9*T2^5 + 
     16*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 58*T1^2*T2^6 - 
     37*T1^3*T2^6 - 4*T1^4*T2^6 - 94*T1^5*T2^6 - 228*T1^6*T2^6 + 
     170*T1^7*T2^6 + 52*T1^8*T2^6 + 85*T1^9*T2^6 - 142*T1^10*T2^6 + 
     32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 + 4*T1^3*T2^7 - 
     10*T1^4*T2^7 + 30*T1^5*T2^7 + 170*T1^6*T2^7 - 94*T1^7*T2^7 + 
     14*T1^8*T2^7 - 162*T1^9*T2^7 + 112*T1^10*T2^7 + 16*T1^11*T2^7 - 
     16*T1^12*T2^7 + 4*T1^3*T2^8 + 28*T1^4*T2^8 - 114*T1^5*T2^8 + 
     52*T1^6*T2^8 + 14*T1^7*T2^8 + 124*T1^8*T2^8 - 106*T1^9*T2^8 + 
     60*T1^10*T2^8 - 52*T1^11*T2^8 + 16*T1^12*T2^8 - T1^3*T2^9 - 
     28*T1^4*T2^9 + 68*T1^5*T2^9 + 85*T1^6*T2^9 - 162*T1^7*T2^9 - 
     106*T1^8*T2^9 - 37*T1^9*T2^9 + 136*T1^10*T2^9 - 32*T1^11*T2^9 - 
     4*T1^12*T2^9 + 8*T1^4*T2^10 + 16*T1^5*T2^10 - 142*T1^6*T2^10 + 
     112*T1^7*T2^10 + 60*T1^8*T2^10 + 136*T1^9*T2^10 - 118*T1^10*T2^10 - 
     16*T1^11*T2^10 + 16*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 + 
     16*T1^7*T2^11 - 52*T1^8*T2^11 - 32*T1^9*T2^11 - 16*T1^10*T2^11 + 
     52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 
     16*T1^8*T2^12 - 4*T1^9*T2^12 + 16*T1^10*T2^12 - 16*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 42] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     128*T1*T2 + 234*T1^2*T2 - 158*T1^3*T2 + 28*T1^4*T2 + 114*T1^5*T2 - 
     86*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 234*T1*T2^2 - 171*T1^2*T2^2 - 
     428*T1^3*T2^2 + 703*T1^4*T2^2 - 736*T1^5*T2^2 + 193*T1^6*T2^2 + 
     66*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 158*T1*T2^3 - 428*T1^2*T2^3 + 
     1519*T1^3*T2^3 - 1133*T1^4*T2^3 + 451*T1^5*T2^3 + 757*T1^6*T2^3 - 
     554*T1^7*T2^3 + 64*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 28*T1*T2^4 + 
     703*T1^2*T2^4 - 1133*T1^3*T2^4 - 763*T1^4*T2^4 + 1745*T1^5*T2^4 - 
     2279*T1^6*T2^4 + 567*T1^7*T2^4 + 263*T1^8*T2^4 - 104*T1^9*T2^4 + 
     24*T2^5 + 114*T1*T2^5 - 736*T1^2*T2^5 + 451*T1^3*T2^5 + 1745*T1^4*T2^5 - 
     1654*T1^5*T2^5 + 894*T1^6*T2^5 + 1101*T1^7*T2^5 - 901*T1^8*T2^5 + 
     118*T1^9*T2^5 + 42*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 86*T1*T2^6 + 
     193*T1^2*T2^6 + 757*T1^3*T2^6 - 2279*T1^4*T2^6 + 894*T1^5*T2^6 + 
     540*T1^6*T2^6 - 1582*T1^7*T2^6 + 453*T1^8*T2^6 + 319*T1^9*T2^6 - 
     195*T1^10*T2^6 + 22*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     66*T1^2*T2^7 - 554*T1^3*T2^7 + 567*T1^4*T2^7 + 1101*T1^5*T2^7 - 
     1582*T1^6*T2^7 + 966*T1^7*T2^7 + 457*T1^8*T2^7 - 785*T1^9*T2^7 + 
     300*T1^10*T2^7 - 6*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     64*T1^3*T2^8 + 263*T1^4*T2^8 - 901*T1^5*T2^8 + 453*T1^6*T2^8 + 
     457*T1^7*T2^8 - 1063*T1^8*T2^8 + 799*T1^9*T2^8 - 177*T1^10*T2^8 - 
     68*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 104*T1^4*T2^9 + 
     118*T1^5*T2^9 + 319*T1^6*T2^9 - 785*T1^7*T2^9 + 799*T1^8*T2^9 - 
     443*T1^9*T2^9 - 8*T1^10*T2^9 + 118*T1^11*T2^9 - 34*T1^12*T2^9 + 
     42*T1^5*T2^10 - 195*T1^6*T2^10 + 300*T1^7*T2^10 - 177*T1^8*T2^10 - 
     8*T1^9*T2^10 + 169*T1^10*T2^10 - 126*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 22*T1^6*T2^11 - 6*T1^7*T2^11 - 68*T1^8*T2^11 + 
     118*T1^9*T2^11 - 126*T1^10*T2^11 + 64*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 43] -> 
  {((1 - 2*T + 2*T^2 - 3*T^3 + T^4)*(1 - 3*T + 2*T^2 - 2*T^3 + T^4))/T^4, 
   (-4 + 20*T1 - 40*T1^2 + 60*T1^3 - 76*T1^4 + 60*T1^5 - 40*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 125*T1^2*T2 - 150*T1^3*T2 + 155*T1^4*T2 - 
     15*T1^5*T2 - 25*T1^6*T2 + 50*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     40*T2^2 + 125*T1*T2^2 - 47*T1^2*T2^2 - 42*T1^3*T2^2 + 152*T1^4*T2^2 - 
     511*T1^5*T2^2 + 332*T1^6*T2^2 - 242*T1^7*T2^2 + 133*T1^8*T2^2 + 
     25*T1^9*T2^2 - 20*T1^10*T2^2 + 60*T2^3 - 150*T1*T2^3 - 42*T1^2*T2^3 + 
     95*T1^3*T2^3 - 176*T1^4*T2^3 + 602*T1^5*T2^3 + 27*T1^6*T2^3 - 
     6*T1^7*T2^3 + 65*T1^8*T2^3 - 192*T1^9*T2^3 + 25*T1^10*T2^3 + 
     15*T1^11*T2^3 - 76*T2^4 + 155*T1*T2^4 + 152*T1^2*T2^4 - 176*T1^3*T2^4 + 
     335*T1^4*T2^4 - 871*T1^5*T2^4 - 117*T1^6*T2^4 - 281*T1^7*T2^4 + 
     203*T1^8*T2^4 + 34*T1^9*T2^4 + 162*T1^10*T2^4 - 75*T1^11*T2^4 + 
     60*T2^5 - 15*T1*T2^5 - 511*T1^2*T2^5 + 602*T1^3*T2^5 - 871*T1^4*T2^5 + 
     1346*T1^5*T2^5 - 71*T1^6*T2^5 + 829*T1^7*T2^5 - 544*T1^8*T2^5 + 
     14*T1^9*T2^5 - 223*T1^10*T2^5 + 14*T1^11*T2^5 + 75*T1^12*T2^5 - 
     15*T1^13*T2^5 - 40*T2^6 - 25*T1*T2^6 + 332*T1^2*T2^6 + 27*T1^3*T2^6 - 
     117*T1^4*T2^6 - 71*T1^5*T2^6 - 987*T1^6*T2^6 - 257*T1^7*T2^6 - 
     27*T1^8*T2^6 + 629*T1^9*T2^6 - 57*T1^10*T2^6 + 227*T1^11*T2^6 - 
     188*T1^12*T2^6 - 25*T1^13*T2^6 + 20*T1^14*T2^6 + 20*T2^7 + 50*T1*T2^7 - 
     242*T1^2*T2^7 - 6*T1^3*T2^7 - 281*T1^4*T2^7 + 829*T1^5*T2^7 - 
     257*T1^6*T2^7 + 1302*T1^7*T2^7 - 678*T1^8*T2^7 - 282*T1^9*T2^7 - 
     471*T1^10*T2^7 + 14*T1^11*T2^7 - 16*T1^12*T2^7 + 208*T1^13*T2^7 - 
     25*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 + 133*T1^2*T2^8 + 
     65*T1^3*T2^8 + 203*T1^4*T2^8 - 544*T1^5*T2^8 - 27*T1^6*T2^8 - 
     678*T1^7*T2^8 + 204*T1^8*T2^8 + 682*T1^9*T2^8 + 503*T1^10*T2^8 + 
     236*T1^11*T2^8 - 145*T1^12*T2^8 - 105*T1^13*T2^8 - 137*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 25*T1^2*T2^9 - 
     192*T1^3*T2^9 + 34*T1^4*T2^9 + 14*T1^5*T2^9 + 629*T1^6*T2^9 - 
     282*T1^7*T2^9 + 682*T1^8*T2^9 - 1298*T1^9*T2^9 - 307*T1^10*T2^9 - 
     671*T1^11*T2^9 + 309*T1^12*T2^9 + 24*T1^13*T2^9 + 258*T1^14*T2^9 - 
     50*T1^15*T2^9 - 20*T1^16*T2^9 - 20*T1^2*T2^10 + 25*T1^3*T2^10 + 
     162*T1^4*T2^10 - 223*T1^5*T2^10 - 57*T1^6*T2^10 - 471*T1^7*T2^10 + 
     503*T1^8*T2^10 - 307*T1^9*T2^10 + 1463*T1^10*T2^10 + 229*T1^11*T2^10 + 
     3*T1^12*T2^10 - 23*T1^13*T2^10 - 358*T1^14*T2^10 + 25*T1^15*T2^10 + 
     40*T1^16*T2^10 + 15*T1^3*T2^11 - 75*T1^4*T2^11 + 14*T1^5*T2^11 + 
     227*T1^6*T2^11 + 14*T1^7*T2^11 + 236*T1^8*T2^11 - 671*T1^9*T2^11 + 
     229*T1^10*T2^11 - 1654*T1^11*T2^11 + 899*T1^12*T2^11 - 598*T1^13*T2^11 + 
     539*T1^14*T2^11 + 15*T1^15*T2^11 - 60*T1^16*T2^11 + 75*T1^5*T2^12 - 
     188*T1^6*T2^12 - 16*T1^7*T2^12 - 145*T1^8*T2^12 + 309*T1^9*T2^12 + 
     3*T1^10*T2^12 + 899*T1^11*T2^12 - 277*T1^12*T2^12 + 194*T1^13*T2^12 - 
     178*T1^14*T2^12 - 155*T1^15*T2^12 + 76*T1^16*T2^12 - 15*T1^5*T2^13 - 
     25*T1^6*T2^13 + 208*T1^7*T2^13 - 105*T1^8*T2^13 + 24*T1^9*T2^13 - 
     23*T1^10*T2^13 - 598*T1^11*T2^13 + 194*T1^12*T2^13 - 135*T1^13*T2^13 + 
     58*T1^14*T2^13 + 150*T1^15*T2^13 - 60*T1^16*T2^13 + 20*T1^6*T2^14 - 
     25*T1^7*T2^14 - 137*T1^8*T2^14 + 258*T1^9*T2^14 - 358*T1^10*T2^14 + 
     539*T1^11*T2^14 - 178*T1^12*T2^14 + 58*T1^13*T2^14 + 43*T1^14*T2^14 - 
     125*T1^15*T2^14 + 40*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 
     50*T1^9*T2^15 + 25*T1^10*T2^15 + 15*T1^11*T2^15 - 155*T1^12*T2^15 + 
     150*T1^13*T2^15 - 125*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 
     4*T1^8*T2^16 - 20*T1^9*T2^16 + 40*T1^10*T2^16 - 60*T1^11*T2^16 + 
     76*T1^12*T2^16 - 60*T1^13*T2^16 + 40*T1^14*T2^16 - 20*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 44] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 48*T1^2 + 52*T1^3 - 48*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     124*T1*T2 + 176*T1^2*T2 - 96*T1^3*T2 + 54*T1^4*T2 + 68*T1^5*T2 - 
     82*T1^6*T2 + 18*T1^7*T2 - 48*T2^2 + 176*T1*T2^2 + 37*T1^2*T2^2 - 
     481*T1^3*T2^2 + 509*T1^4*T2^2 - 649*T1^5*T2^2 + 301*T1^6*T2^2 + 
     32*T1^7*T2^2 - 24*T1^8*T2^2 + 52*T2^3 - 96*T1*T2^3 - 481*T1^2*T2^3 + 
     995*T1^3*T2^3 - 572*T1^4*T2^3 + 526*T1^5*T2^3 + 245*T1^6*T2^3 - 
     445*T1^7*T2^3 + 66*T1^8*T2^3 + 13*T1^9*T2^3 - 48*T2^4 + 54*T1*T2^4 + 
     509*T1^2*T2^4 - 572*T1^3*T2^4 - 384*T1^4*T2^4 + 438*T1^5*T2^4 - 
     948*T1^6*T2^4 + 520*T1^7*T2^4 + 149*T1^8*T2^4 - 78*T1^9*T2^4 + 24*T2^5 + 
     68*T1*T2^5 - 649*T1^2*T2^5 + 526*T1^3*T2^5 + 438*T1^4*T2^5 - 
     142*T1^5*T2^5 + 80*T1^6*T2^5 + 294*T1^7*T2^5 - 584*T1^8*T2^5 + 
     131*T1^9*T2^5 + 32*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 82*T1*T2^6 + 
     301*T1^2*T2^6 + 245*T1^3*T2^6 - 948*T1^4*T2^6 + 80*T1^5*T2^6 + 
     444*T1^6*T2^6 - 388*T1^7*T2^6 + 420*T1^8*T2^6 + 167*T1^9*T2^6 - 
     203*T1^10*T2^6 + 26*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     32*T1^2*T2^7 - 445*T1^3*T2^7 + 520*T1^4*T2^7 + 294*T1^5*T2^7 - 
     388*T1^6*T2^7 - 166*T1^7*T2^7 + 150*T1^8*T2^7 - 590*T1^9*T2^7 + 
     335*T1^10*T2^7 - 4*T1^11*T2^7 - 12*T1^12*T2^7 - 24*T1^2*T2^8 + 
     66*T1^3*T2^8 + 149*T1^4*T2^8 - 584*T1^5*T2^8 + 420*T1^6*T2^8 + 
     150*T1^7*T2^8 - 144*T1^8*T2^8 + 508*T1^9*T2^8 - 211*T1^10*T2^8 - 
     66*T1^11*T2^8 + 24*T1^12*T2^8 + 13*T1^3*T2^9 - 78*T1^4*T2^9 + 
     131*T1^5*T2^9 + 167*T1^6*T2^9 - 590*T1^7*T2^9 + 508*T1^8*T2^9 - 
     583*T1^9*T2^9 + 167*T1^10*T2^9 + 84*T1^11*T2^9 - 26*T1^12*T2^9 + 
     32*T1^5*T2^10 - 203*T1^6*T2^10 + 335*T1^7*T2^10 - 211*T1^8*T2^10 + 
     167*T1^9*T2^10 + 61*T1^10*T2^10 - 112*T1^11*T2^10 + 24*T1^12*T2^10 - 
     6*T1^5*T2^11 + 26*T1^6*T2^11 - 4*T1^7*T2^11 - 66*T1^8*T2^11 + 
     84*T1^9*T2^11 - 112*T1^10*T2^11 + 68*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 24*T1^8*T2^12 - 26*T1^9*T2^12 + 
     24*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 45] -> 
  {-((1 - 4*T + 8*T^2 - 11*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 24*T1^2 + 33*T1^3 - 24*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 64*T1^2*T2 - 68*T1^3*T2 + 8*T1^4*T2 + 16*T1^5*T2 - 
      20*T1^6*T2 + 8*T1^7*T2 - 24*T2^2 + 64*T1*T2^2 - 74*T1^2*T2^2 + 
      53*T1^3*T2^2 + 78*T1^4*T2^2 - 59*T1^5*T2^2 + 38*T1^6*T2^2 - 
      8*T1^8*T2^2 + 33*T2^3 - 68*T1*T2^3 + 53*T1^2*T2^3 - 35*T1^3*T2^3 - 
      159*T1^4*T2^3 + 53*T1^5*T2^3 - 23*T1^6*T2^3 - 51*T1^7*T2^3 + 
      32*T1^8*T2^3 - 24*T2^4 + 8*T1*T2^4 + 78*T1^2*T2^4 - 159*T1^3*T2^4 + 
      446*T1^4*T2^4 - 168*T1^5*T2^4 + 54*T1^6*T2^4 + 105*T1^7*T2^4 - 
      18*T1^8*T2^4 - 32*T1^9*T2^4 + 8*T1^10*T2^4 + 12*T2^5 + 16*T1*T2^5 - 
      59*T1^2*T2^5 + 53*T1^3*T2^5 - 168*T1^4*T2^5 - 320*T1^5*T2^5 + 
      300*T1^6*T2^5 - 232*T1^7*T2^5 - 55*T1^8*T2^5 + 77*T1^9*T2^5 - 
      8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 38*T1^2*T2^6 - 23*T1^3*T2^6 + 
      54*T1^4*T2^6 + 300*T1^5*T2^6 - 36*T1^6*T2^6 - 172*T1^7*T2^6 + 
      294*T1^8*T2^6 - 89*T1^9*T2^6 - 42*T1^10*T2^6 + 20*T1^11*T2^6 + 
      3*T1^12*T2^6 + 8*T1*T2^7 - 51*T1^3*T2^7 + 105*T1^4*T2^7 - 
      232*T1^5*T2^7 - 172*T1^6*T2^7 + 448*T1^7*T2^7 - 296*T1^8*T2^7 - 
      3*T1^9*T2^7 + 85*T1^10*T2^7 - 16*T1^11*T2^7 - 12*T1^12*T2^7 - 
      8*T1^2*T2^8 + 32*T1^3*T2^8 - 18*T1^4*T2^8 - 55*T1^5*T2^8 + 
      294*T1^6*T2^8 - 296*T1^7*T2^8 - 98*T1^8*T2^8 + 209*T1^9*T2^8 - 
      114*T1^10*T2^8 - 8*T1^11*T2^8 + 24*T1^12*T2^8 - 32*T1^4*T2^9 + 
      77*T1^5*T2^9 - 89*T1^6*T2^9 - 3*T1^7*T2^9 + 209*T1^8*T2^9 - 
      77*T1^9*T2^9 - 27*T1^10*T2^9 + 68*T1^11*T2^9 - 33*T1^12*T2^9 + 
      8*T1^4*T2^10 - 42*T1^6*T2^10 + 85*T1^7*T2^10 - 114*T1^8*T2^10 - 
      27*T1^9*T2^10 + 70*T1^10*T2^10 - 64*T1^11*T2^10 + 24*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 16*T1^7*T2^11 - 8*T1^8*T2^11 + 
      68*T1^9*T2^11 - 64*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 
      3*T1^6*T2^12 - 12*T1^7*T2^12 + 24*T1^8*T2^12 - 33*T1^9*T2^12 + 
      24*T1^10*T2^12 - 12*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 46] -> 
  {(2 - 10*T + 17*T^2 - 10*T^3 + 2*T^4)/T^2, 
   (-17 + 86*T1 - 147*T1^2 + 86*T1^3 - 17*T1^4 + 86*T2 - 396*T1*T2 + 
     522*T1^2*T2 - 18*T1^3*T2 - 156*T1^4*T2 + 46*T1^5*T2 - 147*T2^2 + 
     522*T1*T2^2 - 55*T1^2*T2^2 - 1429*T1^3*T2^2 + 965*T1^4*T2^2 - 
     158*T1^5*T2^2 - 11*T1^6*T2^2 + 86*T2^3 - 18*T1*T2^3 - 1429*T1^2*T2^3 + 
     3004*T1^3*T2^3 - 866*T1^4*T2^3 - 409*T1^5*T2^3 + 242*T1^6*T2^3 - 
     34*T1^7*T2^3 - 17*T2^4 - 156*T1*T2^4 + 965*T1^2*T2^4 - 866*T1^3*T2^4 - 
     1764*T1^4*T2^4 + 1974*T1^5*T2^4 - 763*T1^6*T2^4 + 84*T1^7*T2^4 + 
     15*T1^8*T2^4 + 46*T1*T2^5 - 158*T1^2*T2^5 - 409*T1^3*T2^5 + 
     1974*T1^4*T2^5 - 1896*T1^5*T2^5 + 611*T1^6*T2^5 + 102*T1^7*T2^5 - 
     74*T1^8*T2^5 - 11*T1^2*T2^6 + 242*T1^3*T2^6 - 763*T1^4*T2^6 + 
     611*T1^5*T2^6 + 257*T1^6*T2^6 - 438*T1^7*T2^6 + 125*T1^8*T2^6 - 
     34*T1^3*T2^7 + 84*T1^4*T2^7 + 102*T1^5*T2^7 - 438*T1^6*T2^7 + 
     324*T1^7*T2^7 - 74*T1^8*T2^7 + 15*T1^4*T2^8 - 74*T1^5*T2^8 + 
     125*T1^6*T2^8 - 74*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 47] -> 
  {(2 - 9*T + 13*T^2 - 11*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 200*T1^2 + 169*T1^3 - 200*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 435*T1^2*T2 - 95*T1^3*T2 + 337*T1^4*T2 + 
     39*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 200*T2^2 + 435*T1*T2^2 + 
     669*T1^2*T2^2 - 1420*T1^3*T2^2 + 575*T1^4*T2^2 - 1524*T1^5*T2^2 + 
     1241*T1^6*T2^2 - 33*T1^7*T2^2 - 96*T1^8*T2^2 + 169*T2^3 - 95*T1*T2^3 - 
     1420*T1^2*T2^3 + 1449*T1^3*T2^3 + 26*T1^4*T2^3 + 1382*T1^5*T2^3 - 
     267*T1^6*T2^3 - 991*T1^7*T2^3 + 265*T1^8*T2^3 + 37*T1^9*T2^3 - 
     200*T2^4 + 337*T1*T2^4 + 575*T1^2*T2^4 + 26*T1^3*T2^4 - 1549*T1^4*T2^4 + 
     97*T1^5*T2^4 - 801*T1^6*T2^4 + 1060*T1^7*T2^4 + 145*T1^8*T2^4 - 
     203*T1^9*T2^4 + 8*T1^10*T2^4 + 139*T2^5 + 39*T1*T2^5 - 1524*T1^2*T2^5 + 
     1382*T1^3*T2^5 + 97*T1^4*T2^5 + 1694*T1^5*T2^5 - 1606*T1^6*T2^5 + 
     344*T1^7*T2^5 - 618*T1^8*T2^5 + 179*T1^9*T2^5 + 147*T1^10*T2^5 - 
     41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 1241*T1^2*T2^6 - 267*T1^3*T2^6 - 
     801*T1^4*T2^6 - 1606*T1^5*T2^6 + 1092*T1^6*T2^6 + 1066*T1^7*T2^6 - 
     335*T1^8*T2^6 + 639*T1^9*T2^6 - 687*T1^10*T2^6 + 110*T1^11*T2^6 + 
     17*T1^12*T2^6 + 103*T1*T2^7 - 33*T1^2*T2^7 - 991*T1^3*T2^7 + 
     1060*T1^4*T2^7 + 344*T1^5*T2^7 + 1066*T1^6*T2^7 - 2234*T1^7*T2^7 + 
     591*T1^8*T2^7 - 940*T1^9*T2^7 + 712*T1^10*T2^7 + 75*T1^11*T2^7 - 
     77*T1^12*T2^7 - 96*T1^2*T2^8 + 265*T1^3*T2^8 + 145*T1^4*T2^8 - 
     618*T1^5*T2^8 - 335*T1^6*T2^8 + 591*T1^7*T2^8 + 413*T1^8*T2^8 + 
     416*T1^9*T2^8 - 285*T1^10*T2^8 - 275*T1^11*T2^8 + 112*T1^12*T2^8 + 
     37*T1^3*T2^9 - 203*T1^4*T2^9 + 179*T1^5*T2^9 + 639*T1^6*T2^9 - 
     940*T1^7*T2^9 + 416*T1^8*T2^9 - 1077*T1^9*T2^9 + 608*T1^10*T2^9 + 
     157*T1^11*T2^9 - 95*T1^12*T2^9 + 8*T1^4*T2^10 + 147*T1^5*T2^10 - 
     687*T1^6*T2^10 + 712*T1^7*T2^10 - 285*T1^8*T2^10 + 608*T1^9*T2^10 - 
     115*T1^10*T2^10 - 321*T1^11*T2^10 + 112*T1^12*T2^10 - 41*T1^5*T2^11 + 
     110*T1^6*T2^11 + 75*T1^7*T2^11 - 275*T1^8*T2^11 + 157*T1^9*T2^11 - 
     321*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 17*T1^6*T2^12 - 
     77*T1^7*T2^12 + 112*T1^8*T2^12 - 95*T1^9*T2^12 + 112*T1^10*T2^12 - 
     77*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 48] -> {((2 - 4*T + T^2)*(1 - 4*T + 2*T^2))/T^2, 
   (-17 + 102*T1 - 179*T1^2 + 102*T1^3 - 17*T1^4 + 102*T2 - 542*T1*T2 + 
     726*T1^2*T2 - 66*T1^3*T2 - 206*T1^4*T2 + 54*T1^5*T2 - 179*T2^2 + 
     726*T1*T2^2 - 98*T1^2*T2^2 - 1822*T1^3*T2^2 + 1498*T1^4*T2^2 - 
     282*T1^5*T2^2 - 11*T1^6*T2^2 + 102*T2^3 - 66*T1*T2^3 - 1822*T1^2*T2^3 + 
     4366*T1^3*T2^3 - 2942*T1^4*T2^3 + 194*T1^5*T2^3 + 294*T1^6*T2^3 - 
     42*T1^7*T2^3 - 17*T2^4 - 206*T1*T2^4 + 1498*T1^2*T2^4 - 2942*T1^3*T2^4 + 
     1032*T1^4*T2^4 + 2338*T1^5*T2^4 - 1622*T1^6*T2^4 + 178*T1^7*T2^4 + 
     15*T1^8*T2^4 + 54*T1*T2^5 - 282*T1^2*T2^5 + 194*T1^3*T2^5 + 
     2338*T1^4*T2^5 - 4970*T1^5*T2^5 + 2210*T1^6*T2^5 + 78*T1^7*T2^5 - 
     90*T1^8*T2^5 - 11*T1^2*T2^6 + 294*T1^3*T2^6 - 1622*T1^4*T2^6 + 
     2210*T1^5*T2^6 - 26*T1^6*T2^6 - 714*T1^7*T2^6 + 157*T1^8*T2^6 - 
     42*T1^3*T2^7 + 178*T1^4*T2^7 + 78*T1^5*T2^7 - 714*T1^6*T2^7 + 
     514*T1^7*T2^7 - 90*T1^8*T2^7 + 15*T1^4*T2^8 - 90*T1^5*T2^8 + 
     157*T1^6*T2^8 - 90*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 49] -> {((-2 + T)^2*(-1 + 2*T)^2)/T^2, 
   (-136 + 686*T1 - 1136*T1^2 + 686*T1^3 - 136*T1^4 + 686*T2 - 3096*T1*T2 + 
     3873*T1^2*T2 - 367*T1^3*T2 - 1176*T1^4*T2 + 366*T1^5*T2 - 1136*T2^2 + 
     3873*T1*T2^2 - 102*T1^2*T2^2 - 9576*T1^3*T2^2 + 7554*T1^4*T2^2 - 
     1407*T1^5*T2^2 - 80*T1^6*T2^2 + 686*T2^3 - 367*T1*T2^3 - 
     9576*T1^2*T2^3 + 19924*T1^3*T2^3 - 9296*T1^4*T2^3 - 1656*T1^5*T2^3 + 
     1793*T1^6*T2^3 - 274*T1^7*T2^3 - 136*T2^4 - 1176*T1*T2^4 + 
     7554*T1^2*T2^4 - 9296*T1^3*T2^4 - 4752*T1^4*T2^4 + 12624*T1^5*T2^4 - 
     6334*T1^6*T2^4 + 744*T1^7*T2^4 + 120*T1^8*T2^4 + 366*T1*T2^5 - 
     1407*T1^2*T2^5 - 1656*T1^3*T2^5 + 12624*T1^4*T2^5 - 16596*T1^5*T2^5 + 
     6264*T1^6*T2^5 + 753*T1^7*T2^5 - 594*T1^8*T2^5 - 80*T1^2*T2^6 + 
     1793*T1^3*T2^6 - 6334*T1^4*T2^6 + 6264*T1^5*T2^6 + 1322*T1^6*T2^6 - 
     3487*T1^7*T2^6 + 976*T1^8*T2^6 - 274*T1^3*T2^7 + 744*T1^4*T2^7 + 
     753*T1^5*T2^7 - 3487*T1^6*T2^7 + 2664*T1^7*T2^7 - 594*T1^8*T2^7 + 
     120*T1^4*T2^8 - 594*T1^5*T2^8 + 976*T1^6*T2^8 - 594*T1^7*T2^8 + 
     120*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 50] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-33 + 181*T1 - 376*T1^2 + 439*T1^3 - 376*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1313*T1^2*T2 - 853*T1^3*T2 + 247*T1^4*T2 + 
     565*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 376*T2^2 + 1313*T1*T2^2 - 
     378*T1^2*T2^2 - 2456*T1^3*T2^2 + 3494*T1^4*T2^2 - 3928*T1^5*T2^2 + 
     1554*T1^6*T2^2 + 301*T1^7*T2^2 - 192*T1^8*T2^2 + 439*T2^3 - 
     853*T1*T2^3 - 2456*T1^2*T2^3 + 6271*T1^3*T2^3 - 4515*T1^4*T2^3 + 
     2627*T1^5*T2^3 + 2367*T1^6*T2^3 - 2893*T1^7*T2^3 + 423*T1^8*T2^3 + 
     115*T1^9*T2^3 - 376*T2^4 + 247*T1*T2^4 + 3494*T1^2*T2^4 - 
     4515*T1^3*T2^4 - 1552*T1^4*T2^4 + 4114*T1^5*T2^4 - 7192*T1^6*T2^4 + 
     2991*T1^7*T2^4 + 1192*T1^8*T2^4 - 589*T1^9*T2^4 - 8*T1^10*T2^4 + 
     181*T2^5 + 565*T1*T2^5 - 3928*T1^2*T2^5 + 2627*T1^3*T2^5 + 
     4114*T1^4*T2^5 - 3854*T1^5*T2^5 + 2820*T1^6*T2^5 + 2481*T1^7*T2^5 - 
     3787*T1^8*T2^5 + 649*T1^9*T2^5 + 257*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1554*T1^2*T2^6 + 2367*T1^3*T2^6 - 
     7192*T1^4*T2^6 + 2820*T1^5*T2^6 + 1248*T1^6*T2^6 - 4208*T1^7*T2^6 + 
     2510*T1^8*T2^6 + 1213*T1^9*T2^6 - 1102*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 301*T1^2*T2^7 - 2893*T1^3*T2^7 + 
     2991*T1^4*T2^7 + 2481*T1^5*T2^7 - 4208*T1^6*T2^7 + 2466*T1^7*T2^7 + 
     848*T1^8*T2^7 - 3423*T1^9*T2^7 + 1684*T1^10*T2^7 - 7*T1^11*T2^7 - 
     83*T1^12*T2^7 - 192*T1^2*T2^8 + 423*T1^3*T2^8 + 1192*T1^4*T2^8 - 
     3787*T1^5*T2^8 + 2510*T1^6*T2^8 + 848*T1^7*T2^8 - 3130*T1^8*T2^8 + 
     3719*T1^9*T2^8 - 1110*T1^10*T2^8 - 413*T1^11*T2^8 + 176*T1^12*T2^8 + 
     115*T1^3*T2^9 - 589*T1^4*T2^9 + 649*T1^5*T2^9 + 1213*T1^6*T2^9 - 
     3423*T1^7*T2^9 + 3719*T1^8*T2^9 - 2691*T1^9*T2^9 + 212*T1^10*T2^9 + 
     687*T1^11*T2^9 - 209*T1^12*T2^9 - 8*T1^4*T2^10 + 257*T1^5*T2^10 - 
     1102*T1^6*T2^10 + 1684*T1^7*T2^10 - 1110*T1^8*T2^10 + 212*T1^9*T2^10 + 
     830*T1^10*T2^10 - 755*T1^11*T2^10 + 176*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 7*T1^7*T2^11 - 413*T1^8*T2^11 + 687*T1^9*T2^11 - 
     755*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 176*T1^8*T2^12 - 209*T1^9*T2^12 + 176*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 51] -> {-(((-2 + T)*(-1 + 2*T))/T), 
   -((T1 + T1^2 + T2 - 5*T1*T2 - 7*T1^2*T2 - 5*T1^3*T2 + T1^4*T2 + T2^2 - 
      7*T1*T2^2 + 8*T1^2*T2^2 + 78*T1^3*T2^2 - 27*T1^4*T2^2 + T1^5*T2^2 - 
      5*T1*T2^3 + 78*T1^2*T2^3 - 216*T1^3*T2^3 + 38*T1^4*T2^3 + 
      11*T1^5*T2^3 + T1*T2^4 - 27*T1^2*T2^4 + 38*T1^3*T2^4 + 108*T1^4*T2^4 - 
      47*T1^5*T2^4 + T1^6*T2^4 + T1^2*T2^5 + 11*T1^3*T2^5 - 47*T1^4*T2^5 + 
      11*T1^5*T2^5 + T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/
     (T1^4*T2^3*(-1 + T1*T2)))}, Knot[12, NonAlternating, 52] -> 
  {(1 - 9*T + 30*T^2 - 43*T^3 + 30*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 60*T1^2 + 86*T1^3 - 60*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 459*T1^2*T2 - 504*T1^3*T2 + 153*T1^4*T2 + 108*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 60*T2^2 + 459*T1*T2^2 - 1067*T1^2*T2^2 + 
     132*T1^3*T2^2 + 1713*T1^4*T2^2 - 1908*T1^5*T2^2 + 673*T1^6*T2^2 - 
     81*T1^7*T2^2 + 86*T2^3 - 504*T1*T2^3 + 132*T1^2*T2^3 + 4445*T1^3*T2^3 - 
     8719*T1^4*T2^3 + 5960*T1^5*T2^3 - 409*T1^6*T2^3 - 1038*T1^7*T2^3 + 
     387*T1^8*T2^3 - 43*T1^9*T2^3 - 60*T2^4 + 153*T1*T2^4 + 1713*T1^2*T2^4 - 
     8719*T1^3*T2^4 + 11118*T1^4*T2^4 + 736*T1^5*T2^4 - 11718*T1^6*T2^4 + 
     8567*T1^7*T2^4 - 1653*T1^8*T2^4 - 153*T1^9*T2^4 + 60*T1^10*T2^4 + 
     18*T2^5 + 108*T1*T2^5 - 1908*T1^2*T2^5 + 5960*T1^3*T2^5 + 
     736*T1^4*T2^5 - 26599*T1^5*T2^5 + 36431*T1^6*T2^5 - 15284*T1^7*T2^5 - 
     3505*T1^8*T2^5 + 2742*T1^9*T2^5 - 297*T1^10*T2^5 - 27*T1^11*T2^5 - 
     2*T2^6 - 63*T1*T2^6 + 673*T1^2*T2^6 - 409*T1^3*T2^6 - 11718*T1^4*T2^6 + 
     36431*T1^5*T2^6 - 25152*T1^6*T2^6 - 15427*T1^7*T2^6 + 26730*T1^8*T2^6 - 
     7147*T1^9*T2^6 - 263*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 
     9*T1*T2^7 - 81*T1^2*T2^7 - 1038*T1^3*T2^7 + 8567*T1^4*T2^7 - 
     15284*T1^5*T2^7 - 15427*T1^6*T2^7 + 47603*T1^7*T2^7 - 31304*T1^8*T2^7 - 
     898*T1^9*T2^7 + 3612*T1^10*T2^7 - 486*T1^11*T2^7 - 36*T1^12*T2^7 + 
     387*T1^3*T2^8 - 1653*T1^4*T2^8 - 3505*T1^5*T2^8 + 26730*T1^6*T2^8 - 
     31304*T1^7*T2^8 + 3894*T1^8*T2^8 + 13781*T1^9*T2^8 - 5019*T1^10*T2^8 + 
     81*T1^11*T2^8 + 120*T1^12*T2^8 - 43*T1^3*T2^9 - 153*T1^4*T2^9 + 
     2742*T1^5*T2^9 - 7147*T1^6*T2^9 - 898*T1^7*T2^9 + 13781*T1^8*T2^9 - 
     12001*T1^9*T2^9 + 1572*T1^10*T2^9 + 738*T1^11*T2^9 - 172*T1^12*T2^9 + 
     60*T1^4*T2^10 - 297*T1^5*T2^10 - 263*T1^6*T2^10 + 3612*T1^7*T2^10 - 
     5019*T1^8*T2^10 + 1572*T1^9*T2^10 + 1477*T1^10*T2^10 - 837*T1^11*T2^10 + 
     120*T1^12*T2^10 - 27*T1^5*T2^11 + 207*T1^6*T2^11 - 486*T1^7*T2^11 + 
     81*T1^8*T2^11 + 738*T1^9*T2^11 - 837*T1^10*T2^11 + 297*T1^11*T2^11 - 
     36*T1^12*T2^11 + 4*T1^6*T2^12 - 36*T1^7*T2^12 + 120*T1^8*T2^12 - 
     172*T1^9*T2^12 + 120*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 53] -> 
  {(3 - 14*T + 23*T^2 - 14*T^3 + 3*T^4)/T^2, 
   (-63 + 295*T1 - 487*T1^2 + 295*T1^3 - 63*T1^4 + 295*T2 - 1216*T1*T2 + 
     1495*T1^2*T2 - 59*T1^3*T2 - 502*T1^4*T2 + 169*T1^5*T2 - 487*T2^2 + 
     1495*T1*T2^2 - 122*T1^2*T2^2 - 3592*T1^3*T2^2 + 2638*T1^4*T2^2 - 
     437*T1^5*T2^2 - 73*T1^6*T2^2 + 295*T2^3 - 59*T1*T2^3 - 3592*T1^2*T2^3 + 
     7202*T1^3*T2^3 - 2570*T1^4*T2^3 - 1016*T1^5*T2^3 + 739*T1^6*T2^3 - 
     83*T1^7*T2^3 - 63*T2^4 - 502*T1*T2^4 + 2638*T1^2*T2^4 - 2570*T1^3*T2^4 - 
     3180*T1^4*T2^4 + 4766*T1^5*T2^4 - 2022*T1^6*T2^4 + 170*T1^7*T2^4 + 
     45*T1^8*T2^4 + 169*T1*T2^5 - 437*T1^2*T2^5 - 1016*T1^3*T2^5 + 
     4766*T1^4*T2^5 - 5006*T1^5*T2^5 + 1560*T1^6*T2^5 + 361*T1^7*T2^5 - 
     209*T1^8*T2^5 - 73*T1^2*T2^6 + 739*T1^3*T2^6 - 2022*T1^4*T2^6 + 
     1560*T1^5*T2^6 + 738*T1^6*T2^6 - 1193*T1^7*T2^6 + 341*T1^8*T2^6 - 
     83*T1^3*T2^7 + 170*T1^4*T2^7 + 361*T1^5*T2^7 - 1193*T1^6*T2^7 + 
     884*T1^7*T2^7 - 209*T1^8*T2^7 + 45*T1^4*T2^8 - 209*T1^5*T2^8 + 
     341*T1^6*T2^8 - 209*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 54] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((-1 + 4*T1 - 6*T1^2 + 7*T1^3 - 6*T1^4 + 4*T1^5 - T1^6 + 4*T2 - 
      16*T1*T2 + 23*T1^2*T2 - 28*T1^3*T2 + 24*T1^4*T2 - 17*T1^5*T2 + 
      4*T1^6*T2 - 6*T2^2 + 23*T1*T2^2 - 20*T1^2*T2^2 + 11*T1^3*T2^2 + 
      12*T1^4*T2^2 - 25*T1^5*T2^2 + 40*T1^6*T2^2 - 25*T1^7*T2^2 + 
      6*T1^8*T2^2 + 7*T2^3 - 28*T1*T2^3 + 11*T1^2*T2^3 + 15*T1^3*T2^3 - 
      49*T1^4*T2^3 + 53*T1^5*T2^3 - 57*T1^6*T2^3 + 5*T1^7*T2^3 + 
      32*T1^8*T2^3 - 14*T1^9*T2^3 - 6*T2^4 + 24*T1*T2^4 + 12*T1^2*T2^4 - 
      49*T1^3*T2^4 + 63*T1^4*T2^4 - 39*T1^5*T2^4 + 15*T1^6*T2^4 + 
      63*T1^7*T2^4 - 68*T1^8*T2^4 - 16*T1^9*T2^4 + 18*T1^10*T2^4 + 4*T2^5 - 
      17*T1*T2^5 - 25*T1^2*T2^5 + 53*T1^3*T2^5 - 39*T1^4*T2^5 + 
      38*T1^5*T2^5 - 36*T1^6*T2^5 - 3*T1^7*T2^5 - 29*T1^8*T2^5 + 
      101*T1^9*T2^5 - 9*T1^10*T2^5 - 16*T1^11*T2^5 - T2^6 + 4*T1*T2^6 + 
      40*T1^2*T2^6 - 57*T1^3*T2^6 + 15*T1^4*T2^6 - 36*T1^5*T2^6 + 
      44*T1^7*T2^6 - 37*T1^8*T2^6 - 3*T1^9*T2^6 - 108*T1^10*T2^6 + 
      44*T1^11*T2^6 + 5*T1^12*T2^6 - 25*T1^2*T2^7 + 5*T1^3*T2^7 + 
      63*T1^4*T2^7 - 3*T1^5*T2^7 + 44*T1^6*T2^7 - 30*T1^7*T2^7 + 
      33*T1^8*T2^7 - 19*T1^9*T2^7 + 131*T1^10*T2^7 - 17*T1^11*T2^7 - 
      20*T1^12*T2^7 + 6*T1^2*T2^8 + 32*T1^3*T2^8 - 68*T1^4*T2^8 - 
      29*T1^5*T2^8 - 37*T1^6*T2^8 + 33*T1^7*T2^8 - 85*T1^8*T2^8 + 
      83*T1^9*T2^8 - 148*T1^10*T2^8 - 8*T1^11*T2^8 + 30*T1^12*T2^8 - 
      14*T1^3*T2^9 - 16*T1^4*T2^9 + 101*T1^5*T2^9 - 3*T1^6*T2^9 - 
      19*T1^7*T2^9 + 83*T1^8*T2^9 - 75*T1^9*T2^9 + 95*T1^10*T2^9 + 
      44*T1^11*T2^9 - 35*T1^12*T2^9 + 18*T1^4*T2^10 - 9*T1^5*T2^10 - 
      108*T1^6*T2^10 + 131*T1^7*T2^10 - 148*T1^8*T2^10 + 95*T1^9*T2^10 - 
      48*T1^10*T2^10 - 57*T1^11*T2^10 + 30*T1^12*T2^10 - 16*T1^5*T2^11 + 
      44*T1^6*T2^11 - 17*T1^7*T2^11 - 8*T1^8*T2^11 + 44*T1^9*T2^11 - 
      57*T1^10*T2^11 + 64*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 
      20*T1^7*T2^12 + 30*T1^8*T2^12 - 35*T1^9*T2^12 + 30*T1^10*T2^12 - 
      20*T1^11*T2^12 + 5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 55] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-33 + 181*T1 - 426*T1^2 + 539*T1^3 - 426*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 858*T1*T2 + 1595*T1^2*T2 - 1197*T1^3*T2 + 101*T1^4*T2 + 
     781*T1^5*T2 - 572*T1^6*T2 + 137*T1^7*T2 - 426*T2^2 + 1595*T1*T2^2 - 
     1640*T1^2*T2^2 - 1510*T1^3*T2^2 + 3940*T1^4*T2^2 - 3798*T1^5*T2^2 + 
     856*T1^6*T2^2 + 451*T1^7*T2^2 - 218*T1^8*T2^2 + 539*T2^3 - 
     1197*T1*T2^3 - 1510*T1^2*T2^3 + 7662*T1^3*T2^3 - 7341*T1^4*T2^3 + 
     2207*T1^5*T2^3 + 4010*T1^6*T2^3 - 2940*T1^7*T2^3 + 409*T1^8*T2^3 + 
     143*T1^9*T2^3 - 426*T2^4 + 101*T1*T2^4 + 3940*T1^2*T2^4 - 
     7341*T1^3*T2^4 - 1118*T1^4*T2^4 + 9664*T1^5*T2^4 - 12098*T1^6*T2^4 + 
     3219*T1^7*T2^4 + 1362*T1^8*T2^4 - 735*T1^9*T2^4 - 10*T1^10*T2^4 + 
     181*T2^5 + 781*T1*T2^5 - 3798*T1^2*T2^5 + 2207*T1^3*T2^5 + 
     9664*T1^4*T2^5 - 13154*T1^5*T2^5 + 7152*T1^6*T2^5 + 5088*T1^7*T2^5 - 
     5317*T1^8*T2^5 + 1064*T1^9*T2^5 + 275*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 572*T1*T2^6 + 856*T1^2*T2^6 + 4010*T1^3*T2^6 - 
     12098*T1^4*T2^6 + 7152*T1^5*T2^6 + 3624*T1^6*T2^6 - 11240*T1^7*T2^6 + 
     5002*T1^8*T2^6 + 930*T1^9*T2^6 - 1140*T1^10*T2^6 + 132*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 451*T1^2*T2^7 - 2940*T1^3*T2^7 + 
     3219*T1^4*T2^7 + 5088*T1^5*T2^7 - 11240*T1^6*T2^7 + 9066*T1^7*T2^7 + 
     512*T1^8*T2^7 - 4305*T1^9*T2^7 + 1922*T1^10*T2^7 - 55*T1^11*T2^7 - 
     83*T1^12*T2^7 - 218*T1^2*T2^8 + 409*T1^3*T2^8 + 1362*T1^4*T2^8 - 
     5317*T1^5*T2^8 + 5002*T1^6*T2^8 + 512*T1^7*T2^8 - 5978*T1^8*T2^8 + 
     5243*T1^9*T2^8 - 1216*T1^10*T2^8 - 427*T1^11*T2^8 + 198*T1^12*T2^8 + 
     143*T1^3*T2^9 - 735*T1^4*T2^9 + 1064*T1^5*T2^9 + 930*T1^6*T2^9 - 
     4305*T1^7*T2^9 + 5243*T1^8*T2^9 - 2722*T1^9*T2^9 - 366*T1^10*T2^9 + 
     871*T1^11*T2^9 - 253*T1^12*T2^9 - 10*T1^4*T2^10 + 275*T1^5*T2^10 - 
     1140*T1^6*T2^10 + 1922*T1^7*T2^10 - 1216*T1^8*T2^10 - 366*T1^9*T2^10 + 
     1356*T1^10*T2^10 - 869*T1^11*T2^10 + 198*T1^12*T2^10 - 39*T1^5*T2^11 + 
     132*T1^6*T2^11 - 55*T1^7*T2^11 - 427*T1^8*T2^11 + 871*T1^9*T2^11 - 
     869*T1^10*T2^11 + 418*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 198*T1^8*T2^12 - 253*T1^9*T2^12 + 198*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 56] -> {(1 - T + T^2)^2/T^2, 
   (2*(-1 + 2*T1 - 3*T1^2 + 2*T1^3 - T1^4 + 2*T2 - 4*T1*T2 + 4*T1^2*T2 - 
      T1^3*T2 - T1^4*T2 + T1^5*T2 - 3*T2^2 + 4*T1*T2^2 + 9*T1^2*T2^2 - 
      16*T1^3*T2^2 + 15*T1^4*T2^2 - 2*T1^5*T2^2 + 2*T2^3 - T1*T2^3 - 
      16*T1^2*T2^3 + 6*T1^3*T2^3 - 16*T1^5*T2^3 + 2*T1^6*T2^3 - T1^7*T2^3 - 
      T2^4 - T1*T2^4 + 15*T1^2*T2^4 + 6*T1^4*T2^4 + 4*T1^5*T2^4 + 
      13*T1^6*T2^4 - T1^7*T2^4 + T1^8*T2^4 + T1*T2^5 - 2*T1^2*T2^5 - 
      16*T1^3*T2^5 + 4*T1^4*T2^5 - 2*T1^5*T2^5 - 16*T1^6*T2^5 + T1^7*T2^5 - 
      2*T1^8*T2^5 + 2*T1^3*T2^6 + 13*T1^4*T2^6 - 16*T1^5*T2^6 + 
      19*T1^6*T2^6 - 4*T1^7*T2^6 + 3*T1^8*T2^6 - T1^3*T2^7 - T1^4*T2^7 + 
      T1^5*T2^7 - 4*T1^6*T2^7 + 2*T1^7*T2^7 - 2*T1^8*T2^7 + T1^4*T2^8 - 
      2*T1^5*T2^8 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 57] -> 
  {(1 - T + T^2)^2/T^2, (2*(-1 + 2*T1 - 3*T1^2 + 2*T1^3 - T1^4 + 2*T2 - 
      4*T1*T2 + 4*T1^2*T2 - T1^3*T2 - T1^4*T2 + T1^5*T2 - 3*T2^2 + 
      4*T1*T2^2 + 9*T1^2*T2^2 - 16*T1^3*T2^2 + 15*T1^4*T2^2 - 2*T1^5*T2^2 + 
      2*T2^3 - T1*T2^3 - 16*T1^2*T2^3 + 6*T1^3*T2^3 - 16*T1^5*T2^3 + 
      2*T1^6*T2^3 - T1^7*T2^3 - T2^4 - T1*T2^4 + 15*T1^2*T2^4 + 6*T1^4*T2^4 + 
      4*T1^5*T2^4 + 13*T1^6*T2^4 - T1^7*T2^4 + T1^8*T2^4 + T1*T2^5 - 
      2*T1^2*T2^5 - 16*T1^3*T2^5 + 4*T1^4*T2^5 - 2*T1^5*T2^5 - 16*T1^6*T2^5 + 
      T1^7*T2^5 - 2*T1^8*T2^5 + 2*T1^3*T2^6 + 13*T1^4*T2^6 - 16*T1^5*T2^6 + 
      19*T1^6*T2^6 - 4*T1^7*T2^6 + 3*T1^8*T2^6 - T1^3*T2^7 - T1^4*T2^7 + 
      T1^5*T2^7 - 4*T1^6*T2^7 + 2*T1^7*T2^7 - 2*T1^8*T2^7 + T1^4*T2^8 - 
      2*T1^5*T2^8 + 3*T1^6*T2^8 - 2*T1^7*T2^8 + T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 58] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((-7 + 47*T1 - 112*T1^2 + 147*T1^3 - 112*T1^4 + 47*T1^5 - 7*T1^6 + 
      47*T2 - 314*T1*T2 + 763*T1^2*T2 - 1007*T1^3*T2 + 787*T1^4*T2 - 
      355*T1^5*T2 + 76*T1^6*T2 - 5*T1^7*T2 - 112*T2^2 + 763*T1*T2^2 - 
      1816*T1^2*T2^2 + 1836*T1^3*T2^2 - 360*T1^4*T2^2 - 1284*T1^5*T2^2 + 
      1544*T1^6*T2^2 - 797*T1^7*T2^2 + 128*T1^8*T2^2 + 147*T2^3 - 
      1007*T1*T2^3 + 1836*T1^2*T2^3 + 1362*T1^3*T2^3 - 7117*T1^4*T2^3 + 
      9731*T1^5*T2^3 - 5814*T1^6*T2^3 + 666*T1^7*T2^3 + 1255*T1^8*T2^3 - 
      321*T1^9*T2^3 - 112*T2^4 + 787*T1*T2^4 - 360*T1^2*T2^4 - 
      7117*T1^3*T2^4 + 12678*T1^4*T2^4 - 7048*T1^5*T2^4 - 6966*T1^6*T2^4 + 
      11915*T1^7*T2^4 - 6342*T1^8*T2^4 - 305*T1^9*T2^4 + 368*T1^10*T2^4 + 
      47*T2^5 - 355*T1*T2^5 - 1284*T1^2*T2^5 + 9731*T1^3*T2^5 - 
      7048*T1^4*T2^5 - 9270*T1^5*T2^5 + 23100*T1^6*T2^5 - 13288*T1^7*T2^5 - 
      2749*T1^8*T2^5 + 7686*T1^9*T2^5 - 1005*T1^10*T2^5 - 213*T1^11*T2^5 - 
      7*T2^6 + 76*T1*T2^6 + 1544*T1^2*T2^6 - 5814*T1^3*T2^6 - 
      6966*T1^4*T2^6 + 23100*T1^5*T2^6 - 20964*T1^6*T2^6 - 5084*T1^7*T2^6 + 
      17790*T1^8*T2^6 - 9870*T1^9*T2^6 - 2924*T1^10*T2^6 + 1116*T1^11*T2^6 + 
      41*T1^12*T2^6 - 5*T1*T2^7 - 797*T1^2*T2^7 + 666*T1^3*T2^7 + 
      11915*T1^4*T2^7 - 13288*T1^5*T2^7 - 5084*T1^6*T2^7 + 27286*T1^7*T2^7 - 
      19528*T1^8*T2^7 - 565*T1^9*T2^7 + 9636*T1^10*T2^7 - 1447*T1^11*T2^7 - 
      265*T1^12*T2^7 + 128*T1^2*T2^8 + 1255*T1^3*T2^8 - 6342*T1^4*T2^8 - 
      2749*T1^5*T2^8 + 17790*T1^6*T2^8 - 19528*T1^7*T2^8 - 1854*T1^8*T2^8 + 
      16283*T1^9*T2^8 - 12324*T1^10*T2^8 + 163*T1^11*T2^8 + 608*T1^12*T2^8 - 
      321*T1^3*T2^9 - 305*T1^4*T2^9 + 7686*T1^5*T2^9 - 9870*T1^6*T2^9 - 
      565*T1^7*T2^9 + 16283*T1^8*T2^9 - 17046*T1^9*T2^9 + 6516*T1^10*T2^9 + 
      1957*T1^11*T2^9 - 789*T1^12*T2^9 + 368*T1^4*T2^10 - 1005*T1^5*T2^10 - 
      2924*T1^6*T2^10 + 9636*T1^7*T2^10 - 12324*T1^8*T2^10 + 
      6516*T1^9*T2^10 + 436*T1^10*T2^10 - 2565*T1^11*T2^10 + 
      608*T1^12*T2^10 - 213*T1^5*T2^11 + 1116*T1^6*T2^11 - 1447*T1^7*T2^11 + 
      163*T1^8*T2^11 + 1957*T1^9*T2^11 - 2565*T1^10*T2^11 + 
      1506*T1^11*T2^11 - 265*T1^12*T2^11 + 41*T1^6*T2^12 - 265*T1^7*T2^12 + 
      608*T1^8*T2^12 - 789*T1^9*T2^12 + 608*T1^10*T2^12 - 265*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 59] -> 
  {-(((1 - T + T^2)*(1 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + T^6))/T^4), 
   -((-7 + 21*T1 - 56*T1^3 + 91*T1^4 - 56*T1^5 + 21*T1^7 - 7*T1^8 + 21*T2 - 
      45*T1*T2 - 54*T1^2*T2 + 168*T1^3*T2 - 129*T1^4*T2 - 66*T1^5*T2 + 
      144*T1^6*T2 - 63*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 54*T1*T2^2 + 
      161*T1^2*T2^2 - T1^3*T2^2 - 422*T1^4*T2^2 + 687*T1^5*T2^2 - 
      422*T1^6*T2^2 - T1^7*T2^2 + 161*T1^8*T2^2 - 54*T1^9*T2^2 - 56*T2^3 + 
      168*T1*T2^3 - T1^2*T2^3 - 458*T1^3*T2^3 + 763*T1^4*T2^3 - 
      415*T1^5*T2^3 - 223*T1^6*T2^3 + 523*T1^7*T2^3 - 290*T1^8*T2^3 - 
      T1^9*T2^3 + 96*T1^10*T2^3 - 32*T1^11*T2^3 + 91*T2^4 - 129*T1*T2^4 - 
      422*T1^2*T2^4 + 763*T1^3*T2^4 - 201*T1^4*T2^4 - 1145*T1^5*T2^4 + 
      1689*T1^6*T2^4 - 1093*T1^7*T2^4 - T1^8*T2^4 + 395*T1^9*T2^4 - 
      278*T1^10*T2^4 - 21*T1^11*T2^4 + 39*T1^12*T2^4 - 56*T2^5 - 66*T1*T2^5 + 
      687*T1^2*T2^5 - 415*T1^3*T2^5 - 1145*T1^4*T2^5 + 2503*T1^5*T2^5 - 
      1583*T1^6*T2^5 - 527*T1^7*T2^5 + 1613*T1^8*T2^5 - 846*T1^9*T2^5 - 
      95*T1^10*T2^5 + 336*T1^11*T2^5 - 69*T1^12*T2^5 - 16*T1^13*T2^5 + 
      144*T1*T2^6 - 422*T1^2*T2^6 - 223*T1^3*T2^6 + 1689*T1^4*T2^6 - 
      1583*T1^5*T2^6 - 736*T1^6*T2^6 + 2672*T1^7*T2^6 - 1792*T1^8*T2^6 - 
      239*T1^9*T2^6 + 921*T1^10*T2^6 - 223*T1^11*T2^6 - 134*T1^12*T2^6 + 
      48*T1^13*T2^6 + 21*T2^7 - 63*T1*T2^7 - T1^2*T2^7 + 523*T1^3*T2^7 - 
      1093*T1^4*T2^7 - 527*T1^5*T2^7 + 2672*T1^6*T2^7 - 2573*T1^7*T2^7 - 
      305*T1^8*T2^7 + 1840*T1^9*T2^7 - 1007*T1^10*T2^7 - 404*T1^11*T2^7 + 
      251*T1^12*T2^7 - T1^13*T2^7 - 7*T2^8 - 33*T1*T2^8 + 161*T1^2*T2^8 - 
      290*T1^3*T2^8 - T1^4*T2^8 + 1613*T1^5*T2^8 - 1792*T1^6*T2^8 - 
      305*T1^7*T2^8 + 2748*T1^8*T2^8 - 2047*T1^9*T2^8 + 48*T1^10*T2^8 + 
      847*T1^11*T2^8 - 57*T1^12*T2^8 - 98*T1^13*T2^8 - T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 54*T1^2*T2^9 - T1^3*T2^9 + 
      395*T1^4*T2^9 - 846*T1^5*T2^9 - 239*T1^6*T2^9 + 1840*T1^7*T2^9 - 
      2047*T1^8*T2^9 + 221*T1^9*T2^9 + 1008*T1^10*T2^9 - 719*T1^11*T2^9 - 
      157*T1^12*T2^9 + 123*T1^13*T2^9 - T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 96*T1^3*T2^10 - 278*T1^4*T2^10 - 95*T1^5*T2^10 + 
      921*T1^6*T2^10 - 1007*T1^7*T2^10 + 48*T1^8*T2^10 + 1008*T1^9*T2^10 - 
      1008*T1^10*T2^10 + 337*T1^11*T2^10 + 153*T1^12*T2^10 - 95*T1^13*T2^10 + 
      10*T1^14*T2^10 - 32*T1^3*T2^11 - 21*T1^4*T2^11 + 336*T1^5*T2^11 - 
      223*T1^6*T2^11 - 404*T1^7*T2^11 + 847*T1^8*T2^11 - 719*T1^9*T2^11 + 
      337*T1^10*T2^11 - 43*T1^11*T2^11 - 105*T1^12*T2^11 + 97*T1^13*T2^11 - 
      15*T1^14*T2^11 - 24*T1^15*T2^11 + 8*T1^16*T2^11 + 39*T1^4*T2^12 - 
      69*T1^5*T2^12 - 134*T1^6*T2^12 + 251*T1^7*T2^12 - 57*T1^8*T2^12 - 
      157*T1^9*T2^12 + 153*T1^10*T2^12 - 105*T1^11*T2^12 + 143*T1^12*T2^12 - 
      117*T1^13*T2^12 + 10*T1^14*T2^12 + 39*T1^15*T2^12 - 13*T1^16*T2^12 - 
      16*T1^5*T2^13 + 48*T1^6*T2^13 - T1^7*T2^13 - 98*T1^8*T2^13 + 
      123*T1^9*T2^13 - 95*T1^10*T2^13 + 97*T1^11*T2^13 - 117*T1^12*T2^13 + 
      70*T1^13*T2^13 - T1^14*T2^13 - 24*T1^15*T2^13 + 8*T1^16*T2^13 - 
      T1^8*T2^14 - T1^9*T2^14 + 10*T1^10*T2^14 - 15*T1^11*T2^14 + 
      10*T1^12*T2^14 - T1^13*T2^14 - T1^14*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 - 24*T1^11*T2^15 + 39*T1^12*T2^15 - 24*T1^13*T2^15 + 
      9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      8*T1^11*T2^16 - 13*T1^12*T2^16 + 8*T1^13*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 60] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 260*T1^3*T2 + 
      175*T1^4*T2 - 40*T1^5*T2 - 100*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 176*T1^3*T2^2 + 
      202*T1^4*T2^2 - 402*T1^5*T2^2 + 466*T1^6*T2^2 - 184*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 100*T2^3 - 260*T1*T2^3 + 
      176*T1^2*T2^3 + 48*T1^3*T2^3 - 594*T1^4*T2^3 + 440*T1^5*T2^3 - 
      220*T1^6*T2^3 - 354*T1^7*T2^3 + 288*T1^8*T2^3 - 184*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 175*T1*T2^4 + 
      202*T1^2*T2^4 - 594*T1^3*T2^4 + 1173*T1^4*T2^4 - 455*T1^5*T2^4 + 
      157*T1^6*T2^4 + 365*T1^7*T2^4 + 197*T1^8*T2^4 - 234*T1^9*T2^4 + 
      306*T1^10*T2^4 - 85*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 
      40*T1*T2^5 - 402*T1^2*T2^5 + 440*T1^3*T2^5 - 455*T1^4*T2^5 - 
      829*T1^5*T2^5 + 582*T1^6*T2^5 - 398*T1^7*T2^5 - 709*T1^8*T2^5 + 
      410*T1^9*T2^5 - 260*T1^10*T2^5 - 117*T1^11*T2^5 + 115*T1^12*T2^5 - 
      60*T2^6 - 100*T1*T2^6 + 466*T1^2*T2^6 - 220*T1^3*T2^6 + 157*T1^4*T2^6 + 
      582*T1^5*T2^6 + 738*T1^6*T2^6 - 1228*T1^7*T2^6 + 1602*T1^8*T2^6 - 
      338*T1^9*T2^6 - 115*T1^10*T2^6 + 380*T1^11*T2^6 - 118*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 184*T1^2*T2^7 - 
      354*T1^3*T2^7 + 365*T1^4*T2^7 - 398*T1^5*T2^7 - 1228*T1^6*T2^7 + 
      1177*T1^7*T2^7 - 453*T1^8*T2^7 - 788*T1^9*T2^7 + 702*T1^10*T2^7 - 
      320*T1^11*T2^7 - 114*T1^12*T2^7 + 176*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 288*T1^3*T2^8 + 
      197*T1^4*T2^8 - 709*T1^5*T2^8 + 1602*T1^6*T2^8 - 453*T1^7*T2^8 - 
      984*T1^8*T2^8 + 1317*T1^9*T2^8 - 630*T1^10*T2^8 - 139*T1^11*T2^8 + 
      293*T1^12*T2^8 - 152*T1^13*T2^8 - 70*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 184*T1^3*T2^9 - 
      234*T1^4*T2^9 + 410*T1^5*T2^9 - 338*T1^6*T2^9 - 788*T1^7*T2^9 + 
      1317*T1^8*T2^9 - 313*T1^9*T2^9 - 348*T1^10*T2^9 + 762*T1^11*T2^9 - 
      275*T1^12*T2^9 + 6*T1^13*T2^9 + 176*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 20*T1^3*T2^10 + 306*T1^4*T2^10 - 
      260*T1^5*T2^10 - 115*T1^6*T2^10 + 702*T1^7*T2^10 - 630*T1^8*T2^10 - 
      348*T1^9*T2^10 + 234*T1^10*T2^10 - 218*T1^11*T2^10 - 387*T1^12*T2^10 + 
      340*T1^13*T2^10 - 278*T1^14*T2^10 + 20*T1^15*T2^10 + 36*T1^16*T2^10 + 
      40*T1^3*T2^11 - 85*T1^4*T2^11 - 117*T1^5*T2^11 + 380*T1^6*T2^11 - 
      320*T1^7*T2^11 - 139*T1^8*T2^11 + 762*T1^9*T2^11 - 218*T1^10*T2^11 - 
      19*T1^11*T2^11 + 545*T1^12*T2^11 - 320*T1^13*T2^11 + 168*T1^14*T2^11 + 
      70*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 115*T1^5*T2^12 - 
      118*T1^6*T2^12 - 114*T1^7*T2^12 + 293*T1^8*T2^12 - 275*T1^9*T2^12 - 
      387*T1^10*T2^12 + 545*T1^11*T2^12 - 683*T1^12*T2^12 + 246*T1^13*T2^12 - 
      14*T1^14*T2^12 - 145*T1^15*T2^12 + 69*T1^16*T2^12 - 60*T1^6*T2^13 + 
      176*T1^7*T2^13 - 152*T1^8*T2^13 + 6*T1^9*T2^13 + 340*T1^10*T2^13 - 
      320*T1^11*T2^13 + 246*T1^12*T2^13 + 88*T1^13*T2^13 - 184*T1^14*T2^13 + 
      180*T1^15*T2^13 - 60*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 
      70*T1^8*T2^14 + 176*T1^9*T2^14 - 278*T1^10*T2^14 + 168*T1^11*T2^14 - 
      14*T1^12*T2^14 - 184*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 
      36*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 
      20*T1^10*T2^15 + 70*T1^11*T2^15 - 145*T1^12*T2^15 + 180*T1^13*T2^15 - 
      130*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 61] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 260*T1^3*T2 + 
      175*T1^4*T2 - 40*T1^5*T2 - 100*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 176*T1^3*T2^2 + 
      202*T1^4*T2^2 - 402*T1^5*T2^2 + 466*T1^6*T2^2 - 184*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 100*T2^3 - 260*T1*T2^3 + 
      176*T1^2*T2^3 + 48*T1^3*T2^3 - 594*T1^4*T2^3 + 440*T1^5*T2^3 - 
      220*T1^6*T2^3 - 354*T1^7*T2^3 + 288*T1^8*T2^3 - 184*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 175*T1*T2^4 + 
      202*T1^2*T2^4 - 594*T1^3*T2^4 + 1173*T1^4*T2^4 - 455*T1^5*T2^4 + 
      157*T1^6*T2^4 + 365*T1^7*T2^4 + 197*T1^8*T2^4 - 234*T1^9*T2^4 + 
      306*T1^10*T2^4 - 85*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 
      40*T1*T2^5 - 402*T1^2*T2^5 + 440*T1^3*T2^5 - 455*T1^4*T2^5 - 
      829*T1^5*T2^5 + 582*T1^6*T2^5 - 398*T1^7*T2^5 - 709*T1^8*T2^5 + 
      410*T1^9*T2^5 - 260*T1^10*T2^5 - 117*T1^11*T2^5 + 115*T1^12*T2^5 - 
      60*T2^6 - 100*T1*T2^6 + 466*T1^2*T2^6 - 220*T1^3*T2^6 + 157*T1^4*T2^6 + 
      582*T1^5*T2^6 + 738*T1^6*T2^6 - 1228*T1^7*T2^6 + 1602*T1^8*T2^6 - 
      338*T1^9*T2^6 - 115*T1^10*T2^6 + 380*T1^11*T2^6 - 118*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 184*T1^2*T2^7 - 
      354*T1^3*T2^7 + 365*T1^4*T2^7 - 398*T1^5*T2^7 - 1228*T1^6*T2^7 + 
      1177*T1^7*T2^7 - 453*T1^8*T2^7 - 788*T1^9*T2^7 + 702*T1^10*T2^7 - 
      320*T1^11*T2^7 - 114*T1^12*T2^7 + 176*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 288*T1^3*T2^8 + 
      197*T1^4*T2^8 - 709*T1^5*T2^8 + 1602*T1^6*T2^8 - 453*T1^7*T2^8 - 
      984*T1^8*T2^8 + 1317*T1^9*T2^8 - 630*T1^10*T2^8 - 139*T1^11*T2^8 + 
      293*T1^12*T2^8 - 152*T1^13*T2^8 - 70*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 184*T1^3*T2^9 - 
      234*T1^4*T2^9 + 410*T1^5*T2^9 - 338*T1^6*T2^9 - 788*T1^7*T2^9 + 
      1317*T1^8*T2^9 - 313*T1^9*T2^9 - 348*T1^10*T2^9 + 762*T1^11*T2^9 - 
      275*T1^12*T2^9 + 6*T1^13*T2^9 + 176*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 20*T1^3*T2^10 + 306*T1^4*T2^10 - 
      260*T1^5*T2^10 - 115*T1^6*T2^10 + 702*T1^7*T2^10 - 630*T1^8*T2^10 - 
      348*T1^9*T2^10 + 234*T1^10*T2^10 - 218*T1^11*T2^10 - 387*T1^12*T2^10 + 
      340*T1^13*T2^10 - 278*T1^14*T2^10 + 20*T1^15*T2^10 + 36*T1^16*T2^10 + 
      40*T1^3*T2^11 - 85*T1^4*T2^11 - 117*T1^5*T2^11 + 380*T1^6*T2^11 - 
      320*T1^7*T2^11 - 139*T1^8*T2^11 + 762*T1^9*T2^11 - 218*T1^10*T2^11 - 
      19*T1^11*T2^11 + 545*T1^12*T2^11 - 320*T1^13*T2^11 + 168*T1^14*T2^11 + 
      70*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 115*T1^5*T2^12 - 
      118*T1^6*T2^12 - 114*T1^7*T2^12 + 293*T1^8*T2^12 - 275*T1^9*T2^12 - 
      387*T1^10*T2^12 + 545*T1^11*T2^12 - 683*T1^12*T2^12 + 246*T1^13*T2^12 - 
      14*T1^14*T2^12 - 145*T1^15*T2^12 + 69*T1^16*T2^12 - 60*T1^6*T2^13 + 
      176*T1^7*T2^13 - 152*T1^8*T2^13 + 6*T1^9*T2^13 + 340*T1^10*T2^13 - 
      320*T1^11*T2^13 + 246*T1^12*T2^13 + 88*T1^13*T2^13 - 184*T1^14*T2^13 + 
      180*T1^15*T2^13 - 60*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 
      70*T1^8*T2^14 + 176*T1^9*T2^14 - 278*T1^10*T2^14 + 168*T1^11*T2^14 - 
      14*T1^12*T2^14 - 184*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 
      36*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 
      20*T1^10*T2^15 + 70*T1^11*T2^15 - 145*T1^12*T2^15 + 180*T1^13*T2^15 - 
      130*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 62] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-25 + 113*T1 - 226*T1^2 + 289*T1^3 - 226*T1^4 + 113*T1^5 - 25*T1^6 + 
      113*T2 - 434*T1*T2 + 673*T1^2*T2 - 609*T1^3*T2 + 129*T1^4*T2 + 
      187*T1^5*T2 - 236*T1^6*T2 + 77*T1^7*T2 - 226*T2^2 + 673*T1*T2^2 - 
      568*T1^2*T2^2 - 80*T1^3*T2^2 + 1120*T1^4*T2^2 - 1088*T1^5*T2^2 + 
      584*T1^6*T2^2 + 25*T1^7*T2^2 - 82*T1^8*T2^2 + 289*T2^3 - 609*T1*T2^3 - 
      80*T1^2*T2^3 + 1010*T1^3*T2^3 - 1983*T1^4*T2^3 + 933*T1^5*T2^3 + 
      86*T1^6*T2^3 - 782*T1^7*T2^3 + 309*T1^8*T2^3 + 13*T1^9*T2^3 - 
      226*T2^4 + 129*T1*T2^4 + 1120*T1^2*T2^4 - 1983*T1^3*T2^4 + 
      2470*T1^4*T2^4 - 236*T1^5*T2^4 - 1022*T1^6*T2^4 + 1329*T1^7*T2^4 - 
      14*T1^8*T2^4 - 339*T1^9*T2^4 + 62*T1^10*T2^4 + 113*T2^5 + 187*T1*T2^5 - 
      1088*T1^2*T2^5 + 933*T1^3*T2^5 - 236*T1^4*T2^5 - 2446*T1^5*T2^5 + 
      2396*T1^6*T2^5 - 884*T1^7*T2^5 - 1191*T1^8*T2^5 + 838*T1^9*T2^5 + 
      25*T1^10*T2^5 - 67*T1^11*T2^5 - 25*T2^6 - 236*T1*T2^6 + 584*T1^2*T2^6 + 
      86*T1^3*T2^6 - 1022*T1^4*T2^6 + 2396*T1^5*T2^6 - 564*T1^6*T2^6 - 
      1708*T1^7*T2^6 + 2326*T1^8*T2^6 - 466*T1^9*T2^6 - 604*T1^10*T2^6 + 
      196*T1^11*T2^6 + 23*T1^12*T2^6 + 77*T1*T2^7 + 25*T1^2*T2^7 - 
      782*T1^3*T2^7 + 1329*T1^4*T2^7 - 884*T1^5*T2^7 - 1708*T1^6*T2^7 + 
      3134*T1^7*T2^7 - 1532*T1^8*T2^7 - 795*T1^9*T2^7 + 1144*T1^10*T2^7 - 
      137*T1^11*T2^7 - 103*T1^12*T2^7 - 82*T1^2*T2^8 + 309*T1^3*T2^8 - 
      14*T1^4*T2^8 - 1191*T1^5*T2^8 + 2326*T1^6*T2^8 - 1532*T1^7*T2^8 - 
      1166*T1^8*T2^8 + 2121*T1^9*T2^8 - 1148*T1^10*T2^8 - 159*T1^11*T2^8 + 
      206*T1^12*T2^8 + 13*T1^3*T2^9 - 339*T1^4*T2^9 + 838*T1^5*T2^9 - 
      466*T1^6*T2^9 - 795*T1^7*T2^9 + 2121*T1^8*T2^9 - 1390*T1^9*T2^9 + 
      136*T1^10*T2^9 + 579*T1^11*T2^9 - 263*T1^12*T2^9 + 62*T1^4*T2^10 + 
      25*T1^5*T2^10 - 604*T1^6*T2^10 + 1144*T1^7*T2^10 - 1148*T1^8*T2^10 + 
      136*T1^9*T2^10 + 548*T1^10*T2^10 - 623*T1^11*T2^10 + 206*T1^12*T2^10 - 
      67*T1^5*T2^11 + 196*T1^6*T2^11 - 137*T1^7*T2^11 - 159*T1^8*T2^11 + 
      579*T1^9*T2^11 - 623*T1^10*T2^11 + 394*T1^11*T2^11 - 103*T1^12*T2^11 + 
      23*T1^6*T2^12 - 103*T1^7*T2^12 + 206*T1^8*T2^12 - 263*T1^9*T2^12 + 
      206*T1^10*T2^12 - 103*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 63] -> 
  {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (2*(T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
      T2^2 + 2*T1*T2^2 + 7*T1^2*T2^2 - 34*T1^3*T2^2 + 47*T1^4*T2^2 - 
      34*T1^5*T2^2 + 7*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 - 
      34*T1^2*T2^3 + 136*T1^3*T2^3 - 202*T1^4*T2^3 + 143*T1^5*T2^3 - 
      59*T1^6*T2^3 + 11*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 + 47*T1^2*T2^4 - 
      202*T1^3*T2^4 + 251*T1^4*T2^4 - 6*T1^5*T2^4 - 139*T1^6*T2^4 + 
      188*T1^7*T2^4 - 70*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 - 34*T1^2*T2^5 + 
      143*T1^3*T2^5 - 6*T1^4*T2^5 - 472*T1^5*T2^5 + 438*T1^6*T2^5 - 
      266*T1^7*T2^5 - 112*T1^8*T2^5 + 101*T1^9*T2^5 + 2*T1^10*T2^5 - 
      2*T1*T2^6 + 7*T1^2*T2^6 - 59*T1^3*T2^6 - 139*T1^4*T2^6 + 
      438*T1^5*T2^6 + 78*T1^6*T2^6 - 382*T1^7*T2^6 + 627*T1^8*T2^6 - 
      179*T1^9*T2^6 - 47*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 
      11*T1^3*T2^7 + 188*T1^4*T2^7 - 266*T1^5*T2^7 - 382*T1^6*T2^7 + 
      528*T1^7*T2^7 - 526*T1^8*T2^7 - 67*T1^9*T2^7 + 146*T1^10*T2^7 + 
      2*T1^11*T2^7 + T1^2*T2^8 - 70*T1^4*T2^8 - 112*T1^5*T2^8 + 
      627*T1^6*T2^8 - 526*T1^7*T2^8 + 237*T1^8*T2^8 + 278*T1^9*T2^8 - 
      187*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 101*T1^5*T2^9 - 
      179*T1^6*T2^9 - 67*T1^7*T2^9 + 278*T1^8*T2^9 - 374*T1^9*T2^9 + 
      146*T1^10*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 
      47*T1^6*T2^10 + 146*T1^7*T2^10 - 187*T1^8*T2^10 + 146*T1^9*T2^10 - 
      47*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 - 2*T1^6*T2^11 + 
      2*T1^7*T2^11 + 2*T1^10*T2^11 - 2*T1^11*T2^11 + T1^8*T2^12 - 
      2*T1^9*T2^12 + T1^10*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 64] -> 
  {((1 - T + T^2)*(1 - 4*T + 5*T^2 - 3*T^3 + 5*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 72*T1^3 - 78*T1^4 + 72*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 110*T1^3*T2 + 90*T1^4*T2 - 
     35*T1^5*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 60*T2^2 + 
     175*T1*T2^2 - 15*T1^2*T2^2 - 332*T1^3*T2^2 + 328*T1^4*T2^2 - 
     433*T1^5*T2^2 + 388*T1^6*T2^2 - 472*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 72*T2^3 - 110*T1*T2^3 - 332*T1^2*T2^3 + 
     684*T1^3*T2^3 - 268*T1^4*T2^3 + 344*T1^5*T2^3 - 114*T1^6*T2^3 + 
     184*T1^7*T2^3 + 402*T1^8*T2^3 - 392*T1^9*T2^3 + 20*T1^10*T2^3 + 
     36*T1^11*T2^3 - 78*T2^4 + 90*T1*T2^4 + 328*T1^2*T2^4 - 268*T1^3*T2^4 - 
     534*T1^4*T2^4 + 252*T1^5*T2^4 - 510*T1^6*T2^4 + 248*T1^7*T2^4 - 
     750*T1^8*T2^4 + 188*T1^9*T2^4 + 248*T1^10*T2^4 - 50*T1^11*T2^4 - 
     26*T1^12*T2^4 + 72*T2^5 - 35*T1*T2^5 - 433*T1^2*T2^5 + 344*T1^3*T2^5 + 
     252*T1^4*T2^5 + 385*T1^5*T2^5 - 68*T1^6*T2^5 + 322*T1^7*T2^5 + 
     295*T1^8*T2^5 + 207*T1^9*T2^5 - 166*T1^10*T2^5 - 178*T1^11*T2^5 + 
     70*T1^12*T2^5 + 12*T1^13*T2^5 - 60*T2^6 + 388*T1^2*T2^6 - 
     114*T1^3*T2^6 - 510*T1^4*T2^6 - 68*T1^5*T2^6 - 476*T1^6*T2^6 + 
     328*T1^7*T2^6 - 836*T1^8*T2^6 + 272*T1^9*T2^6 - 270*T1^10*T2^6 + 
     266*T1^11*T2^6 + 48*T1^12*T2^6 - 60*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     472*T1^2*T2^7 + 184*T1^3*T2^7 + 248*T1^4*T2^7 + 322*T1^5*T2^7 + 
     328*T1^6*T2^7 - 151*T1^7*T2^7 + 329*T1^8*T2^7 + 180*T1^9*T2^7 - 
     168*T1^10*T2^7 + 129*T1^11*T2^7 - 252*T1^12*T2^7 + 68*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     402*T1^3*T2^8 - 750*T1^4*T2^8 + 295*T1^5*T2^8 - 836*T1^6*T2^8 + 
     329*T1^7*T2^8 - 60*T1^8*T2^8 - 297*T1^9*T2^8 + 228*T1^10*T2^8 - 
     59*T1^11*T2^8 + 114*T1^12*T2^8 + 94*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     392*T1^3*T2^9 + 188*T1^4*T2^9 + 207*T1^5*T2^9 + 272*T1^6*T2^9 + 
     180*T1^7*T2^9 - 297*T1^8*T2^9 + 183*T1^9*T2^9 + 32*T1^10*T2^9 - 
     218*T1^11*T2^9 + 88*T1^12*T2^9 - 248*T1^13*T2^9 + 148*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 20*T1^3*T2^10 + 248*T1^4*T2^10 - 
     166*T1^5*T2^10 - 270*T1^6*T2^10 - 168*T1^7*T2^10 + 228*T1^8*T2^10 + 
     32*T1^9*T2^10 - 132*T1^10*T2^10 + 172*T1^11*T2^10 - 30*T1^12*T2^10 + 
     214*T1^13*T2^10 - 92*T1^14*T2^10 - 40*T1^15*T2^10 + 20*T1^16*T2^10 + 
     36*T1^3*T2^11 - 50*T1^4*T2^11 - 178*T1^5*T2^11 + 266*T1^6*T2^11 + 
     129*T1^7*T2^11 - 59*T1^8*T2^11 - 218*T1^9*T2^11 + 172*T1^10*T2^11 - 
     149*T1^11*T2^11 + 84*T1^12*T2^11 - 244*T1^13*T2^11 + 77*T1^14*T2^11 + 
     55*T1^15*T2^11 - 24*T1^16*T2^11 - 26*T1^4*T2^12 + 70*T1^5*T2^12 + 
     48*T1^6*T2^12 - 252*T1^7*T2^12 + 114*T1^8*T2^12 + 88*T1^9*T2^12 - 
     30*T1^10*T2^12 + 84*T1^11*T2^12 - 102*T1^12*T2^12 + 204*T1^13*T2^12 - 
     32*T1^14*T2^12 - 70*T1^15*T2^12 + 26*T1^16*T2^12 + 12*T1^5*T2^13 - 
     60*T1^6*T2^13 + 68*T1^7*T2^13 + 94*T1^8*T2^13 - 248*T1^9*T2^13 + 
     214*T1^10*T2^13 - 244*T1^11*T2^13 + 204*T1^12*T2^13 - 188*T1^13*T2^13 + 
     8*T1^14*T2^13 + 70*T1^15*T2^13 - 24*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 148*T1^9*T2^14 - 92*T1^10*T2^14 + 77*T1^11*T2^14 - 
     32*T1^12*T2^14 + 8*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 40*T1^10*T2^15 + 
     55*T1^11*T2^15 - 70*T1^12*T2^15 + 70*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 24*T1^11*T2^16 + 26*T1^12*T2^16 - 24*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 65] -> 
  {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((-7 + 28*T1 - 39*T1^2 + 28*T1^3 - 7*T1^4 + 28*T2 - 116*T1*T2 + 
      168*T1^2*T2 - 136*T1^3*T2 + 44*T1^4*T2 - 4*T1^5*T2 - 39*T2^2 + 
      168*T1*T2^2 - 190*T1^2*T2^2 + 22*T1^3*T2^2 + 206*T1^4*T2^2 - 
      184*T1^5*T2^2 + 49*T1^6*T2^2 + 28*T2^3 - 136*T1*T2^3 + 22*T1^2*T2^3 + 
      444*T1^3*T2^3 - 748*T1^4*T2^3 + 374*T1^5*T2^3 + 72*T1^6*T2^3 - 
      68*T1^7*T2^3 - 7*T2^4 + 44*T1*T2^4 + 206*T1^2*T2^4 - 748*T1^3*T2^4 + 
      588*T1^4*T2^4 + 276*T1^5*T2^4 - 642*T1^6*T2^4 + 172*T1^7*T2^4 + 
      25*T1^8*T2^4 - 4*T1*T2^5 - 184*T1^2*T2^5 + 374*T1^3*T2^5 + 
      276*T1^4*T2^5 - 916*T1^5*T2^5 + 726*T1^6*T2^5 + 24*T1^7*T2^5 - 
      100*T1^8*T2^5 + 49*T1^2*T2^6 + 72*T1^3*T2^6 - 642*T1^4*T2^6 + 
      726*T1^5*T2^6 - 246*T1^6*T2^6 - 280*T1^7*T2^6 + 137*T1^8*T2^6 - 
      68*T1^3*T2^7 + 172*T1^4*T2^7 + 24*T1^5*T2^7 - 280*T1^6*T2^7 + 
      332*T1^7*T2^7 - 100*T1^8*T2^7 + 25*T1^4*T2^8 - 100*T1^5*T2^8 + 
      137*T1^6*T2^8 - 100*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 66] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-25 + 113*T1 - 226*T1^2 + 289*T1^3 - 226*T1^4 + 113*T1^5 - 25*T1^6 + 
      113*T2 - 434*T1*T2 + 673*T1^2*T2 - 609*T1^3*T2 + 129*T1^4*T2 + 
      187*T1^5*T2 - 236*T1^6*T2 + 77*T1^7*T2 - 226*T2^2 + 673*T1*T2^2 - 
      568*T1^2*T2^2 - 80*T1^3*T2^2 + 1120*T1^4*T2^2 - 1088*T1^5*T2^2 + 
      584*T1^6*T2^2 + 25*T1^7*T2^2 - 82*T1^8*T2^2 + 289*T2^3 - 609*T1*T2^3 - 
      80*T1^2*T2^3 + 1010*T1^3*T2^3 - 1983*T1^4*T2^3 + 933*T1^5*T2^3 + 
      86*T1^6*T2^3 - 782*T1^7*T2^3 + 309*T1^8*T2^3 + 13*T1^9*T2^3 - 
      226*T2^4 + 129*T1*T2^4 + 1120*T1^2*T2^4 - 1983*T1^3*T2^4 + 
      2470*T1^4*T2^4 - 236*T1^5*T2^4 - 1022*T1^6*T2^4 + 1329*T1^7*T2^4 - 
      14*T1^8*T2^4 - 339*T1^9*T2^4 + 62*T1^10*T2^4 + 113*T2^5 + 187*T1*T2^5 - 
      1088*T1^2*T2^5 + 933*T1^3*T2^5 - 236*T1^4*T2^5 - 2446*T1^5*T2^5 + 
      2396*T1^6*T2^5 - 884*T1^7*T2^5 - 1191*T1^8*T2^5 + 838*T1^9*T2^5 + 
      25*T1^10*T2^5 - 67*T1^11*T2^5 - 25*T2^6 - 236*T1*T2^6 + 584*T1^2*T2^6 + 
      86*T1^3*T2^6 - 1022*T1^4*T2^6 + 2396*T1^5*T2^6 - 564*T1^6*T2^6 - 
      1708*T1^7*T2^6 + 2326*T1^8*T2^6 - 466*T1^9*T2^6 - 604*T1^10*T2^6 + 
      196*T1^11*T2^6 + 23*T1^12*T2^6 + 77*T1*T2^7 + 25*T1^2*T2^7 - 
      782*T1^3*T2^7 + 1329*T1^4*T2^7 - 884*T1^5*T2^7 - 1708*T1^6*T2^7 + 
      3134*T1^7*T2^7 - 1532*T1^8*T2^7 - 795*T1^9*T2^7 + 1144*T1^10*T2^7 - 
      137*T1^11*T2^7 - 103*T1^12*T2^7 - 82*T1^2*T2^8 + 309*T1^3*T2^8 - 
      14*T1^4*T2^8 - 1191*T1^5*T2^8 + 2326*T1^6*T2^8 - 1532*T1^7*T2^8 - 
      1166*T1^8*T2^8 + 2121*T1^9*T2^8 - 1148*T1^10*T2^8 - 159*T1^11*T2^8 + 
      206*T1^12*T2^8 + 13*T1^3*T2^9 - 339*T1^4*T2^9 + 838*T1^5*T2^9 - 
      466*T1^6*T2^9 - 795*T1^7*T2^9 + 2121*T1^8*T2^9 - 1390*T1^9*T2^9 + 
      136*T1^10*T2^9 + 579*T1^11*T2^9 - 263*T1^12*T2^9 + 62*T1^4*T2^10 + 
      25*T1^5*T2^10 - 604*T1^6*T2^10 + 1144*T1^7*T2^10 - 1148*T1^8*T2^10 + 
      136*T1^9*T2^10 + 548*T1^10*T2^10 - 623*T1^11*T2^10 + 206*T1^12*T2^10 - 
      67*T1^5*T2^11 + 196*T1^6*T2^11 - 137*T1^7*T2^11 - 159*T1^8*T2^11 + 
      579*T1^9*T2^11 - 623*T1^10*T2^11 + 394*T1^11*T2^11 - 103*T1^12*T2^11 + 
      23*T1^6*T2^12 - 103*T1^7*T2^12 + 206*T1^8*T2^12 - 263*T1^9*T2^12 + 
      206*T1^10*T2^12 - 103*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 67] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + T^6))/T^4), 
   -((-1 + 5*T1 - 8*T1^2 + 8*T1^3 - 7*T1^4 + 8*T1^5 - 8*T1^6 + 5*T1^7 - 
      T1^8 + 5*T2 - 25*T1*T2 + 40*T1^2*T2 - 40*T1^3*T2 + 35*T1^4*T2 - 
      40*T1^5*T2 + 40*T1^6*T2 - 25*T1^7*T2 + 5*T1^8*T2 - 8*T2^2 + 
      40*T1*T2^2 - 52*T1^2*T2^2 + 16*T1^3*T2^2 + 22*T1^4*T2^2 - 
      16*T1^5*T2^2 + 6*T1^6*T2^2 - 32*T1^7*T2^2 + 60*T1^8*T2^2 - 
      40*T1^9*T2^2 + 8*T1^10*T2^2 + 8*T2^3 - 40*T1*T2^3 + 16*T1^2*T2^3 + 
      114*T1^3*T2^3 - 178*T1^4*T2^3 + 122*T1^5*T2^3 - 94*T1^6*T2^3 + 
      174*T1^7*T2^3 - 190*T1^8*T2^3 + 64*T1^9*T2^3 + 40*T1^10*T2^3 - 
      16*T1^11*T2^3 - 7*T2^4 + 35*T1*T2^4 + 22*T1^2*T2^4 - 178*T1^3*T2^4 + 
      135*T1^4*T2^4 + T1^5*T2^4 + 25*T1^6*T2^4 - 163*T1^7*T2^4 + 
      63*T1^8*T2^4 + 158*T1^9*T2^4 - 154*T1^10*T2^4 - 25*T1^11*T2^4 + 
      21*T1^12*T2^4 + 8*T2^5 - 40*T1*T2^5 - 16*T1^2*T2^5 + 122*T1^3*T2^5 + 
      T1^4*T2^5 - 65*T1^5*T2^5 - 56*T1^6*T2^5 + 144*T1^7*T2^5 + 
      59*T1^8*T2^5 - 166*T1^9*T2^5 - 14*T1^10*T2^5 + 125*T1^11*T2^5 + 
      55*T1^12*T2^5 - 32*T1^13*T2^5 - 8*T2^6 + 40*T1*T2^6 + 6*T1^2*T2^6 - 
      94*T1^3*T2^6 + 25*T1^4*T2^6 - 56*T1^5*T2^6 + 80*T1^6*T2^6 - 
      20*T1^7*T2^6 - 176*T1^8*T2^6 + 184*T1^9*T2^6 - 135*T1^10*T2^6 + 
      242*T1^11*T2^6 - 298*T1^12*T2^6 - 40*T1^13*T2^6 + 40*T1^14*T2^6 + 
      5*T2^7 - 25*T1*T2^7 - 32*T1^2*T2^7 + 174*T1^3*T2^7 - 163*T1^4*T2^7 + 
      144*T1^5*T2^7 - 20*T1^6*T2^7 + 75*T1^7*T2^7 - 83*T1^8*T2^7 + 
      92*T1^9*T2^7 + 24*T1^10*T2^7 - 8*T1^11*T2^7 - 242*T1^12*T2^7 + 
      496*T1^13*T2^7 - 50*T1^14*T2^7 - 30*T1^15*T2^7 - T2^8 + 5*T1*T2^8 + 
      60*T1^2*T2^8 - 190*T1^3*T2^8 + 63*T1^4*T2^8 + 59*T1^5*T2^8 - 
      176*T1^6*T2^8 - 83*T1^7*T2^8 + 84*T1^8*T2^8 + 31*T1^9*T2^8 - 
      160*T1^10*T2^8 - 107*T1^11*T2^8 + 327*T1^12*T2^8 - 206*T1^13*T2^8 - 
      370*T1^14*T2^8 + 115*T1^15*T2^8 + 7*T1^16*T2^8 - 40*T1^2*T2^9 + 
      64*T1^3*T2^9 + 158*T1^4*T2^9 - 166*T1^5*T2^9 + 184*T1^6*T2^9 + 
      92*T1^7*T2^9 + 31*T1^8*T2^9 - 127*T1^9*T2^9 + 204*T1^10*T2^9 + 
      64*T1^11*T2^9 - 11*T1^12*T2^9 - 258*T1^13*T2^9 + 592*T1^14*T2^9 - 
      65*T1^15*T2^9 - 35*T1^16*T2^9 + 8*T1^2*T2^10 + 40*T1^3*T2^10 - 
      154*T1^4*T2^10 - 14*T1^5*T2^10 - 135*T1^6*T2^10 + 24*T1^7*T2^10 - 
      160*T1^8*T2^10 + 204*T1^9*T2^10 - 416*T1^10*T2^10 + 264*T1^11*T2^10 - 
      295*T1^12*T2^10 + 322*T1^13*T2^10 - 458*T1^14*T2^10 - 40*T1^15*T2^10 + 
      56*T1^16*T2^10 - 16*T1^3*T2^11 - 25*T1^4*T2^11 + 125*T1^5*T2^11 + 
      242*T1^6*T2^11 - 8*T1^7*T2^11 - 107*T1^8*T2^11 + 64*T1^9*T2^11 + 
      264*T1^10*T2^11 + 17*T1^11*T2^11 - 175*T1^12*T2^11 + 106*T1^13*T2^11 + 
      266*T1^14*T2^11 + 70*T1^15*T2^11 - 56*T1^16*T2^11 + 21*T1^4*T2^12 + 
      55*T1^5*T2^12 - 298*T1^6*T2^12 - 242*T1^7*T2^12 + 327*T1^8*T2^12 - 
      11*T1^9*T2^12 - 295*T1^10*T2^12 - 175*T1^11*T2^12 + 255*T1^12*T2^12 + 
      94*T1^13*T2^12 - 474*T1^14*T2^12 - 5*T1^15*T2^12 + 49*T1^16*T2^12 - 
      32*T1^5*T2^13 - 40*T1^6*T2^13 + 496*T1^7*T2^13 - 206*T1^8*T2^13 - 
      258*T1^9*T2^13 + 322*T1^10*T2^13 + 106*T1^11*T2^13 + 94*T1^12*T2^13 - 
      510*T1^13*T2^13 + 544*T1^14*T2^13 + 40*T1^15*T2^13 - 56*T1^16*T2^13 + 
      40*T1^6*T2^14 - 50*T1^7*T2^14 - 370*T1^8*T2^14 + 592*T1^9*T2^14 - 
      458*T1^10*T2^14 + 266*T1^11*T2^14 - 474*T1^12*T2^14 + 544*T1^13*T2^14 - 
      258*T1^14*T2^14 - 130*T1^15*T2^14 + 56*T1^16*T2^14 - 30*T1^7*T2^15 + 
      115*T1^8*T2^15 - 65*T1^9*T2^15 - 40*T1^10*T2^15 + 70*T1^11*T2^15 - 
      5*T1^12*T2^15 + 40*T1^13*T2^15 - 130*T1^14*T2^15 + 145*T1^15*T2^15 - 
      35*T1^16*T2^15 + 7*T1^8*T2^16 - 35*T1^9*T2^16 + 56*T1^10*T2^16 - 
      56*T1^11*T2^16 + 49*T1^12*T2^16 - 56*T1^13*T2^16 + 56*T1^14*T2^16 - 
      35*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 68] -> 
  {-((1 - 5*T + 7*T^2 - 4*T^3 + T^4 - 4*T^5 + 7*T^6 - 5*T^7 + T^8)/T^4), 
   -((-7 + 35*T1 - 49*T1^2 + 28*T1^3 - 7*T1^4 + 28*T1^5 - 49*T1^6 + 35*T1^7 - 
      7*T1^8 + 35*T2 - 145*T1*T2 + 95*T1^2*T2 + 70*T1^3*T2 - 85*T1^4*T2 - 
      110*T1^5*T2 + 125*T1^6*T2 + 35*T1^7*T2 - 115*T1^8*T2 + 30*T1^9*T2 - 
      49*T2^2 + 95*T1*T2^2 + 367*T1^2*T2^2 - 669*T1^3*T2^2 + 295*T1^4*T2^2 + 
      195*T1^5*T2^2 + 211*T1^6*T2^2 - 655*T1^7*T2^2 + 451*T1^8*T2^2 + 
      25*T1^9*T2^2 - 35*T1^10*T2^2 + 28*T2^3 + 70*T1*T2^3 - 669*T1^2*T2^3 + 
      493*T1^3*T2^3 + 331*T1^4*T2^3 - 484*T1^5*T2^3 - 527*T1^6*T2^3 + 
      644*T1^7*T2^3 + 133*T1^8*T2^3 - 543*T1^9*T2^3 + 95*T1^10*T2^3 + 
      16*T1^11*T2^3 - 7*T2^4 - 85*T1*T2^4 + 295*T1^2*T2^4 + 331*T1^3*T2^4 - 
      841*T1^4*T2^4 + 337*T1^5*T2^4 + 479*T1^6*T2^4 + 101*T1^7*T2^4 - 
      801*T1^8*T2^4 + 555*T1^9*T2^4 + 123*T1^10*T2^4 - 65*T1^11*T2^4 - 
      3*T1^12*T2^4 + 28*T2^5 - 110*T1*T2^5 + 195*T1^2*T2^5 - 484*T1^3*T2^5 + 
      337*T1^4*T2^5 + 109*T1^5*T2^5 - 178*T1^6*T2^5 - 393*T1^7*T2^5 + 
      427*T1^8*T2^5 + 56*T1^9*T2^5 - 341*T1^10*T2^5 + 102*T1^11*T2^5 - 
      25*T1^12*T2^5 + 8*T1^13*T2^5 - 49*T2^6 + 125*T1*T2^6 + 211*T1^2*T2^6 - 
      527*T1^3*T2^6 + 479*T1^4*T2^6 - 178*T1^5*T2^6 + 184*T1^6*T2^6 - 
      340*T1^7*T2^6 + 432*T1^8*T2^6 - 332*T1^9*T2^6 + 285*T1^10*T2^6 - 
      205*T1^11*T2^6 + 119*T1^12*T2^6 - 5*T1^13*T2^6 - 7*T1^14*T2^6 + 
      35*T2^7 + 35*T1*T2^7 - 655*T1^2*T2^7 + 644*T1^3*T2^7 + 101*T1^4*T2^7 - 
      393*T1^5*T2^7 - 340*T1^6*T2^7 + 728*T1^7*T2^7 - 258*T1^8*T2^7 - 
      170*T1^9*T2^7 - 56*T1^10*T2^7 + 202*T1^11*T2^7 - 25*T1^12*T2^7 - 
      109*T1^13*T2^7 + 35*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 451*T1^2*T2^8 + 
      133*T1^3*T2^8 - 801*T1^4*T2^8 + 427*T1^5*T2^8 + 432*T1^6*T2^8 - 
      258*T1^7*T2^8 - 516*T1^8*T2^8 + 606*T1^9*T2^8 - 80*T1^10*T2^8 - 
      47*T1^11*T2^8 - 181*T1^12*T2^8 + 203*T1^13*T2^8 - 47*T1^14*T2^8 - 
      5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 25*T1^2*T2^9 - 543*T1^3*T2^9 + 
      555*T1^4*T2^9 + 56*T1^5*T2^9 - 332*T1^6*T2^9 - 170*T1^7*T2^9 + 
      606*T1^8*T2^9 - 380*T1^9*T2^9 + 5*T1^11*T2^9 + 157*T1^12*T2^9 - 
      114*T1^13*T2^9 + 3*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 
      35*T1^2*T2^10 + 95*T1^3*T2^10 + 123*T1^4*T2^10 - 341*T1^5*T2^10 + 
      285*T1^6*T2^10 - 56*T1^7*T2^10 - 80*T1^8*T2^10 + 168*T1^10*T2^10 - 
      210*T1^11*T2^10 + 91*T1^12*T2^10 - 19*T1^13*T2^10 + 31*T1^14*T2^10 - 
      35*T1^15*T2^10 + 7*T1^16*T2^10 + 16*T1^3*T2^11 - 65*T1^4*T2^11 + 
      102*T1^5*T2^11 - 205*T1^6*T2^11 + 202*T1^7*T2^11 - 47*T1^8*T2^11 + 
      5*T1^9*T2^11 - 210*T1^10*T2^11 + 271*T1^11*T2^11 - 79*T1^12*T2^11 - 
      62*T1^13*T2^11 + 9*T1^14*T2^11 + 20*T1^15*T2^11 - 4*T1^16*T2^11 - 
      3*T1^4*T2^12 - 25*T1^5*T2^12 + 119*T1^6*T2^12 - 25*T1^7*T2^12 - 
      181*T1^8*T2^12 + 157*T1^9*T2^12 + 91*T1^10*T2^12 - 79*T1^11*T2^12 - 
      141*T1^12*T2^12 + 199*T1^13*T2^12 - 53*T1^14*T2^12 - 5*T1^15*T2^12 + 
      T1^16*T2^12 + 8*T1^5*T2^13 - 5*T1^6*T2^13 - 109*T1^7*T2^13 + 
      203*T1^8*T2^13 - 114*T1^9*T2^13 - 19*T1^10*T2^13 - 62*T1^11*T2^13 + 
      199*T1^12*T2^13 - 157*T1^13*T2^13 + 17*T1^14*T2^13 + 20*T1^15*T2^13 - 
      4*T1^16*T2^13 - 7*T1^6*T2^14 + 35*T1^7*T2^14 - 47*T1^8*T2^14 + 
      3*T1^9*T2^14 + 31*T1^10*T2^14 + 9*T1^11*T2^14 - 53*T1^12*T2^14 + 
      17*T1^13*T2^14 + 37*T1^14*T2^14 - 35*T1^15*T2^14 + 7*T1^16*T2^14 - 
      5*T1^8*T2^15 + 25*T1^9*T2^15 - 35*T1^10*T2^15 + 20*T1^11*T2^15 - 
      5*T1^12*T2^15 + 20*T1^13*T2^15 - 35*T1^14*T2^15 + 25*T1^15*T2^15 - 
      5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 7*T1^10*T2^16 - 
      4*T1^11*T2^16 + T1^12*T2^16 - 4*T1^13*T2^16 + 7*T1^14*T2^16 - 
      5*T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 69] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 51*T1^2 + 69*T1^3 - 51*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 258*T1^2*T2 - 245*T1^3*T2 + 35*T1^4*T2 + 90*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 51*T2^2 + 258*T1*T2^2 - 172*T1^2*T2^2 - 
      425*T1^3*T2^2 + 1176*T1^4*T2^2 - 969*T1^5*T2^2 + 372*T1^6*T2^2 + 
      20*T1^7*T2^2 - 17*T1^8*T2^2 + 69*T2^3 - 245*T1*T2^3 - 425*T1^2*T2^3 + 
      1660*T1^3*T2^3 - 2329*T1^4*T2^3 + 775*T1^5*T2^3 + 460*T1^6*T2^3 - 
      646*T1^7*T2^3 + 119*T1^8*T2^3 - 51*T2^4 + 35*T1*T2^4 + 1176*T1^2*T2^4 - 
      2329*T1^3*T2^4 + 1927*T1^4*T2^4 + 1189*T1^5*T2^4 - 2137*T1^6*T2^4 + 
      1259*T1^7*T2^4 + 78*T1^8*T2^4 - 119*T1^9*T2^4 + 17*T1^10*T2^4 + 
      21*T2^5 + 90*T1*T2^5 - 969*T1^2*T2^5 + 775*T1^3*T2^5 + 1189*T1^4*T2^5 - 
      4319*T1^5*T2^5 + 3033*T1^6*T2^5 - 222*T1^7*T2^5 - 1361*T1^8*T2^5 + 
      544*T1^9*T2^5 - 22*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 77*T1*T2^6 + 
      372*T1^2*T2^6 + 460*T1^3*T2^6 - 2137*T1^4*T2^6 + 3033*T1^5*T2^6 + 
      300*T1^6*T2^6 - 3121*T1^7*T2^6 + 2705*T1^8*T2^6 - 392*T1^9*T2^6 - 
      320*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      20*T1^2*T2^7 - 646*T1^3*T2^7 + 1259*T1^4*T2^7 - 222*T1^5*T2^7 - 
      3121*T1^6*T2^7 + 4231*T1^7*T2^7 - 1633*T1^8*T2^7 - 877*T1^9*T2^7 + 
      867*T1^10*T2^7 - 92*T1^11*T2^7 - 21*T1^12*T2^7 - 17*T1^2*T2^8 + 
      119*T1^3*T2^8 + 78*T1^4*T2^8 - 1361*T1^5*T2^8 + 2705*T1^6*T2^8 - 
      1633*T1^7*T2^8 - 1359*T1^8*T2^8 + 2227*T1^9*T2^8 - 1020*T1^10*T2^8 - 
      35*T1^11*T2^8 + 51*T1^12*T2^8 - 119*T1^4*T2^9 + 544*T1^5*T2^9 - 
      392*T1^6*T2^9 - 877*T1^7*T2^9 + 2227*T1^8*T2^9 - 1592*T1^9*T2^9 + 
      323*T1^10*T2^9 + 245*T1^11*T2^9 - 69*T1^12*T2^9 + 17*T1^4*T2^10 - 
      22*T1^5*T2^10 - 320*T1^6*T2^10 + 867*T1^7*T2^10 - 1020*T1^8*T2^10 + 
      323*T1^9*T2^10 + 224*T1^10*T2^10 - 260*T1^11*T2^10 + 51*T1^12*T2^10 - 
      14*T1^5*T2^11 + 77*T1^6*T2^11 - 92*T1^7*T2^11 - 35*T1^8*T2^11 + 
      245*T1^9*T2^11 - 260*T1^10*T2^11 + 133*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 51*T1^8*T2^12 - 69*T1^9*T2^12 + 
      51*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 70] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 76*T1^2 + 100*T1^3 - 76*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     175*T1*T2 + 385*T1^2*T2 - 300*T1^3*T2 + 8*T1^4*T2 + 203*T1^5*T2 - 
     119*T1^6*T2 + 21*T1^7*T2 - 76*T2^2 + 385*T1*T2^2 - 453*T1^2*T2^2 - 
     632*T1^3*T2^2 + 1497*T1^4*T2^2 - 1316*T1^5*T2^2 + 231*T1^6*T2^2 + 
     119*T1^7*T2^2 - 38*T1^8*T2^2 + 100*T2^3 - 300*T1*T2^3 - 632*T1^2*T2^3 + 
     3258*T1^3*T2^3 - 3157*T1^4*T2^3 + 745*T1^5*T2^3 + 1750*T1^6*T2^3 - 
     993*T1^7*T2^3 + 92*T1^8*T2^3 + 25*T1^9*T2^3 - 76*T2^4 + 8*T1*T2^4 + 
     1497*T1^2*T2^4 - 3157*T1^3*T2^4 - 953*T1^4*T2^4 + 5265*T1^5*T2^4 - 
     5885*T1^6*T2^4 + 1243*T1^7*T2^4 + 491*T1^8*T2^4 - 174*T1^9*T2^4 + 
     28*T2^5 + 203*T1*T2^5 - 1316*T1^2*T2^5 + 745*T1^3*T2^5 + 
     5265*T1^4*T2^5 - 7167*T1^5*T2^5 + 3639*T1^6*T2^5 + 2624*T1^7*T2^5 - 
     2161*T1^8*T2^5 + 337*T1^9*T2^5 + 49*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     119*T1*T2^6 + 231*T1^2*T2^6 + 1750*T1^3*T2^6 - 5885*T1^4*T2^6 + 
     3639*T1^5*T2^6 + 2028*T1^6*T2^6 - 5871*T1^7*T2^6 + 2325*T1^8*T2^6 + 
     270*T1^9*T2^6 - 305*T1^10*T2^6 + 35*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 119*T1^2*T2^7 - 993*T1^3*T2^7 + 1243*T1^4*T2^7 + 
     2624*T1^5*T2^7 - 5871*T1^6*T2^7 + 4935*T1^7*T2^7 - 17*T1^8*T2^7 - 
     1663*T1^9*T2^7 + 660*T1^10*T2^7 - 35*T1^11*T2^7 - 14*T1^12*T2^7 - 
     38*T1^2*T2^8 + 92*T1^3*T2^8 + 491*T1^4*T2^8 - 2161*T1^5*T2^8 + 
     2325*T1^6*T2^8 - 17*T1^7*T2^8 - 2607*T1^8*T2^8 + 2239*T1^9*T2^8 - 
     515*T1^10*T2^8 - 90*T1^11*T2^8 + 38*T1^12*T2^8 + 25*T1^3*T2^9 - 
     174*T1^4*T2^9 + 337*T1^5*T2^9 + 270*T1^6*T2^9 - 1663*T1^7*T2^9 + 
     2239*T1^8*T2^9 - 1238*T1^9*T2^9 - 24*T1^10*T2^9 + 218*T1^11*T2^9 - 
     50*T1^12*T2^9 + 49*T1^5*T2^10 - 305*T1^6*T2^10 + 660*T1^7*T2^10 - 
     515*T1^8*T2^10 - 24*T1^9*T2^10 + 379*T1^10*T2^10 - 217*T1^11*T2^10 + 
     38*T1^12*T2^10 - 7*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 
     90*T1^8*T2^11 + 218*T1^9*T2^11 - 217*T1^10*T2^11 + 91*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 38*T1^8*T2^12 - 
     50*T1^9*T2^12 + 38*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 71] -> 
  {-((1 - 5*T + 9*T^2 - 10*T^3 + 9*T^4 - 10*T^5 + 9*T^6 - 5*T^7 + T^8)/T^4), 
   -((-5 + 25*T1 - 45*T1^2 + 50*T1^3 - 45*T1^4 + 50*T1^5 - 45*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 125*T1^2*T2 - 70*T1^3*T2 + 
      25*T1^4*T2 - 70*T1^5*T2 + 25*T1^6*T2 + 55*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 45*T2^2 + 125*T1*T2^2 + 67*T1^2*T2^2 - 311*T1^3*T2^2 + 
      346*T1^4*T2^2 - 173*T1^5*T2^2 + 346*T1^6*T2^2 - 401*T1^7*T2^2 + 
      211*T1^8*T2^2 + 35*T1^9*T2^2 - 27*T1^10*T2^2 + 50*T2^3 - 70*T1*T2^3 - 
      311*T1^2*T2^3 + 457*T1^3*T2^3 - 233*T1^4*T2^3 - 49*T1^5*T2^3 - 
      334*T1^6*T2^3 + 202*T1^7*T2^3 + 157*T1^8*T2^3 - 311*T1^9*T2^3 + 
      35*T1^10*T2^3 + 20*T1^11*T2^3 - 45*T2^4 + 25*T1*T2^4 + 346*T1^2*T2^4 - 
      233*T1^3*T2^4 - 104*T1^4*T2^4 + 247*T1^5*T2^4 + 278*T1^6*T2^4 + 
      67*T1^7*T2^4 - 316*T1^8*T2^4 + 207*T1^9*T2^4 + 170*T1^10*T2^4 - 
      55*T1^11*T2^4 - 9*T1^12*T2^4 + 50*T2^5 - 70*T1*T2^5 - 173*T1^2*T2^5 - 
      49*T1^3*T2^5 + 247*T1^4*T2^5 - 195*T1^5*T2^5 - 283*T1^6*T2^5 - 
      128*T1^7*T2^5 + 175*T1^8*T2^5 + 22*T1^9*T2^5 - 224*T1^10*T2^5 - 
      38*T1^11*T2^5 + 45*T1^12*T2^5 - 45*T2^6 + 25*T1*T2^6 + 346*T1^2*T2^6 - 
      334*T1^3*T2^6 + 278*T1^4*T2^6 - 283*T1^5*T2^6 + 513*T1^6*T2^6 - 
      45*T1^7*T2^6 - 55*T1^8*T2^6 - 33*T1^9*T2^6 + 60*T1^10*T2^6 + 
      116*T1^11*T2^6 - 6*T1^12*T2^6 - 45*T1^13*T2^6 + 9*T1^14*T2^6 + 
      25*T2^7 + 55*T1*T2^7 - 401*T1^2*T2^7 + 202*T1^3*T2^7 + 67*T1^4*T2^7 - 
      128*T1^5*T2^7 - 45*T1^6*T2^7 - 258*T1^7*T2^7 + 222*T1^8*T2^7 + 
      45*T1^9*T2^7 - 93*T1^10*T2^7 + 112*T1^11*T2^7 - 213*T1^12*T2^7 + 
      139*T1^13*T2^7 + 5*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 
      211*T1^2*T2^8 + 157*T1^3*T2^8 - 316*T1^4*T2^8 + 175*T1^5*T2^8 - 
      55*T1^6*T2^8 + 222*T1^7*T2^8 - 48*T1^8*T2^8 - 238*T1^9*T2^8 + 
      109*T1^10*T2^8 - 195*T1^11*T2^8 + 172*T1^12*T2^8 + 7*T1^13*T2^8 - 
      143*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      35*T1^2*T2^9 - 311*T1^3*T2^9 + 207*T1^4*T2^9 + 22*T1^5*T2^9 - 
      33*T1^6*T2^9 + 45*T1^7*T2^9 - 238*T1^8*T2^9 + 242*T1^9*T2^9 + 
      135*T1^10*T2^9 + 2*T1^11*T2^9 + 67*T1^12*T2^9 - 208*T1^13*T2^9 + 
      229*T1^14*T2^9 - 15*T1^15*T2^9 - 15*T1^16*T2^9 - 27*T1^2*T2^10 + 
      35*T1^3*T2^10 + 170*T1^4*T2^10 - 224*T1^5*T2^10 + 60*T1^6*T2^10 - 
      93*T1^7*T2^10 + 109*T1^8*T2^10 + 135*T1^9*T2^10 - 459*T1^10*T2^10 + 
      157*T1^11*T2^10 - 158*T1^12*T2^10 + 226*T1^13*T2^10 - 182*T1^14*T2^10 - 
      35*T1^15*T2^10 + 27*T1^16*T2^10 + 20*T1^3*T2^11 - 55*T1^4*T2^11 - 
      38*T1^5*T2^11 + 116*T1^6*T2^11 + 112*T1^7*T2^11 - 195*T1^8*T2^11 + 
      2*T1^9*T2^11 + 157*T1^10*T2^11 + 175*T1^11*T2^11 - 113*T1^12*T2^11 - 
      59*T1^13*T2^11 + 97*T1^14*T2^11 + 60*T1^15*T2^11 - 30*T1^16*T2^11 - 
      9*T1^4*T2^12 + 45*T1^5*T2^12 - 6*T1^6*T2^12 - 213*T1^7*T2^12 + 
      172*T1^8*T2^12 + 67*T1^9*T2^12 - 158*T1^10*T2^12 - 113*T1^11*T2^12 - 
      40*T1^12*T2^12 + 227*T1^13*T2^12 - 182*T1^14*T2^12 - 35*T1^15*T2^12 + 
      27*T1^16*T2^12 - 45*T1^6*T2^13 + 139*T1^7*T2^13 + 7*T1^8*T2^13 - 
      208*T1^9*T2^13 + 226*T1^10*T2^13 - 59*T1^11*T2^13 + 227*T1^12*T2^13 - 
      293*T1^13*T2^13 + 139*T1^14*T2^13 + 60*T1^15*T2^13 - 30*T1^16*T2^13 + 
      9*T1^6*T2^14 + 5*T1^7*T2^14 - 143*T1^8*T2^14 + 229*T1^9*T2^14 - 
      182*T1^10*T2^14 + 97*T1^11*T2^14 - 182*T1^12*T2^14 + 139*T1^13*T2^14 + 
      T1^14*T2^14 - 85*T1^15*T2^14 + 27*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 15*T1^9*T2^15 - 35*T1^10*T2^15 + 60*T1^11*T2^15 - 
      35*T1^12*T2^15 + 60*T1^13*T2^15 - 85*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 27*T1^10*T2^16 - 
      30*T1^11*T2^16 + 27*T1^12*T2^16 - 30*T1^13*T2^16 + 27*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 72] -> 
  {-((1 - 9*T + 23*T^2 - 31*T^3 + 23*T^4 - 9*T^5 + T^6)/T^3), 
   -((-5 + 45*T1 - 115*T1^2 + 155*T1^3 - 115*T1^4 + 45*T1^5 - 5*T1^6 + 
      45*T2 - 375*T1*T2 + 720*T1^2*T2 - 573*T1^3*T2 - 87*T1^4*T2 + 
      432*T1^5*T2 - 285*T1^6*T2 + 36*T1^7*T2 - 115*T2^2 + 720*T1*T2^2 + 
      249*T1^2*T2^2 - 3393*T1^3*T2^2 + 6001*T1^4*T2^2 - 4405*T1^5*T2^2 + 
      1261*T1^6*T2^2 + 306*T1^7*T2^2 - 69*T1^8*T2^2 + 155*T2^3 - 
      573*T1*T2^3 - 3393*T1^2*T2^3 + 8904*T1^3*T2^3 - 8513*T1^4*T2^3 - 
      311*T1^5*T2^3 + 5256*T1^6*T2^3 - 3462*T1^7*T2^3 + 57*T1^8*T2^3 + 
      62*T1^9*T2^3 - 115*T2^4 - 87*T1*T2^4 + 6001*T1^2*T2^4 - 
      8513*T1^3*T2^4 + 324*T1^4*T2^4 + 12376*T1^5*T2^4 - 9928*T1^6*T2^4 + 
      911*T1^7*T2^4 + 3095*T1^8*T2^4 - 357*T1^9*T2^4 - 23*T1^10*T2^4 + 
      45*T2^5 + 432*T1*T2^5 - 4405*T1^2*T2^5 - 311*T1^3*T2^5 + 
      12376*T1^4*T2^5 - 17109*T1^5*T2^5 + 1971*T1^6*T2^5 + 8397*T1^7*T2^5 - 
      6069*T1^8*T2^5 - 564*T1^9*T2^5 + 216*T1^10*T2^5 - 5*T2^6 - 
      285*T1*T2^6 + 1261*T1^2*T2^6 + 5256*T1^3*T2^6 - 9928*T1^4*T2^6 + 
      1971*T1^5*T2^6 + 14760*T1^6*T2^6 - 14231*T1^7*T2^6 + 3442*T1^8*T2^6 + 
      3000*T1^9*T2^6 - 459*T1^10*T2^6 - 15*T1^11*T2^6 + T1^12*T2^6 + 
      36*T1*T2^7 + 306*T1^2*T2^7 - 3462*T1^3*T2^7 + 911*T1^4*T2^7 + 
      8397*T1^5*T2^7 - 14231*T1^6*T2^7 + 4849*T1^7*T2^7 + 4418*T1^8*T2^7 - 
      4847*T1^9*T2^7 + 379*T1^10*T2^7 + 90*T1^11*T2^7 - 9*T1^12*T2^7 - 
      69*T1^2*T2^8 + 57*T1^3*T2^8 + 3095*T1^4*T2^8 - 6069*T1^5*T2^8 + 
      3442*T1^6*T2^8 + 4418*T1^7*T2^8 - 6810*T1^8*T2^8 + 3355*T1^9*T2^8 + 
      189*T1^10*T2^8 - 213*T1^11*T2^8 + 23*T1^12*T2^8 + 62*T1^3*T2^9 - 
      357*T1^4*T2^9 - 564*T1^5*T2^9 + 3000*T1^6*T2^9 - 4847*T1^7*T2^9 + 
      3355*T1^8*T2^9 - 648*T1^9*T2^9 - 633*T1^10*T2^9 + 273*T1^11*T2^9 - 
      31*T1^12*T2^9 - 23*T1^4*T2^10 + 216*T1^5*T2^10 - 459*T1^6*T2^10 + 
      379*T1^7*T2^10 + 189*T1^8*T2^10 - 633*T1^9*T2^10 + 553*T1^10*T2^10 - 
      198*T1^11*T2^10 + 23*T1^12*T2^10 - 15*T1^6*T2^11 + 90*T1^7*T2^11 - 
      213*T1^8*T2^11 + 273*T1^9*T2^11 - 198*T1^10*T2^11 + 75*T1^11*T2^11 - 
      9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 23*T1^8*T2^12 - 
      31*T1^9*T2^12 + 23*T1^10*T2^12 - 9*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 73] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 26*T1^2 + 34*T1^3 - 26*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 107*T1^2*T2 - 106*T1^3*T2 + 44*T1^4*T2 + 17*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 26*T2^2 + 107*T1*T2^2 - 240*T1^2*T2^2 + 
     160*T1^3*T2^2 + 30*T1^4*T2^2 - 152*T1^5*T2^2 + 72*T1^6*T2^2 - 
     23*T1^7*T2^2 + 34*T2^3 - 106*T1*T2^3 + 160*T1^2*T2^3 + 232*T1^3*T2^3 - 
     555*T1^4*T2^3 + 477*T1^5*T2^3 - 20*T1^6*T2^3 - 113*T1^7*T2^3 + 
     84*T1^8*T2^3 - 17*T1^9*T2^3 - 26*T2^4 + 44*T1*T2^4 + 30*T1^2*T2^4 - 
     555*T1^3*T2^4 + 534*T1^4*T2^4 + 168*T1^5*T2^4 - 882*T1^6*T2^4 + 
     601*T1^7*T2^4 - 144*T1^8*T2^4 - 46*T1^9*T2^4 + 26*T1^10*T2^4 + 10*T2^5 + 
     17*T1*T2^5 - 152*T1^2*T2^5 + 477*T1^3*T2^5 + 168*T1^4*T2^5 - 
     1459*T1^5*T2^5 + 1811*T1^6*T2^5 - 625*T1^7*T2^5 - 307*T1^8*T2^5 + 
     277*T1^9*T2^5 - 53*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     72*T1^2*T2^6 - 20*T1^3*T2^6 - 882*T1^4*T2^6 + 1811*T1^5*T2^6 - 
     828*T1^6*T2^6 - 1075*T1^7*T2^6 + 1552*T1^8*T2^6 - 512*T1^9*T2^6 - 
     12*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     23*T1^2*T2^7 - 113*T1^3*T2^7 + 601*T1^4*T2^7 - 625*T1^5*T2^7 - 
     1075*T1^6*T2^7 + 2195*T1^7*T2^7 - 1418*T1^8*T2^7 - 183*T1^9*T2^7 + 
     316*T1^10*T2^7 - 93*T1^11*T2^7 - 20*T1^12*T2^7 + 84*T1^3*T2^8 - 
     144*T1^4*T2^8 - 307*T1^5*T2^8 + 1552*T1^6*T2^8 - 1418*T1^7*T2^8 + 
     136*T1^8*T2^8 + 849*T1^9*T2^8 - 318*T1^10*T2^8 - 6*T1^11*T2^8 + 
     52*T1^12*T2^8 - 17*T1^3*T2^9 - 46*T1^4*T2^9 + 277*T1^5*T2^9 - 
     512*T1^6*T2^9 - 183*T1^7*T2^9 + 849*T1^8*T2^9 - 764*T1^9*T2^9 + 
     4*T1^10*T2^9 + 144*T1^11*T2^9 - 68*T1^12*T2^9 + 26*T1^4*T2^10 - 
     53*T1^5*T2^10 - 12*T1^6*T2^10 + 316*T1^7*T2^10 - 318*T1^8*T2^10 + 
     4*T1^9*T2^10 + 300*T1^10*T2^10 - 183*T1^11*T2^10 + 52*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 93*T1^7*T2^11 - 6*T1^8*T2^11 + 
     144*T1^9*T2^11 - 183*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 52*T1^8*T2^12 - 68*T1^9*T2^12 + 
     52*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 74] -> 
  {((2 - 3*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4, 
   -((65 - 161*T1 + 223*T1^2 - 220*T1^3 + 219*T1^4 - 220*T1^5 + 223*T1^6 - 
      161*T1^7 + 65*T1^8 - 161*T2 + 260*T1*T2 - 208*T1^2*T2 + 67*T1^3*T2 - 
      69*T1^4*T2 + 71*T1^5*T2 - 73*T1^6*T2 - 88*T1^7*T2 + 190*T1^8*T2 - 
      141*T1^9*T2 + 223*T2^2 - 208*T1*T2^2 + 65*T1^2*T2^2 + 45*T1^3*T2^2 + 
      115*T1^4*T2^2 - 115*T1^5*T2^2 + 115*T1^6*T2^2 + 101*T1^7*T2^2 - 
      75*T1^8*T2^2 - 68*T1^9*T2^2 + 167*T1^10*T2^2 - 220*T2^3 + 67*T1*T2^3 + 
      45*T1^2*T2^3 - 51*T1^3*T2^3 - 167*T1^4*T2^3 + 48*T1^5*T2^3 - 
      50*T1^6*T2^3 - 153*T1^7*T2^3 - 9*T1^8*T2^3 + 94*T1^9*T2^3 - 
      73*T1^10*T2^3 - 136*T1^11*T2^3 + 219*T2^4 - 69*T1*T2^4 + 
      115*T1^2*T2^4 - 167*T1^3*T2^4 + 334*T1^4*T2^4 - 140*T1^5*T2^4 + 
      216*T1^6*T2^4 - 28*T1^7*T2^4 + 194*T1^8*T2^4 - 125*T1^9*T2^4 + 
      73*T1^10*T2^4 + 71*T1^11*T2^4 + 107*T1^12*T2^4 - 220*T2^5 + 
      71*T1*T2^5 - 115*T1^2*T2^5 + 48*T1^3*T2^5 - 140*T1^4*T2^5 - 
      22*T1^5*T2^5 - 132*T1^6*T2^5 - 76*T1^7*T2^5 - 78*T1^8*T2^5 - 
      7*T1^9*T2^5 - 50*T1^10*T2^5 - 52*T1^11*T2^5 - 69*T1^12*T2^5 - 
      80*T1^13*T2^5 + 223*T2^6 - 73*T1*T2^6 + 115*T1^2*T2^6 - 50*T1^3*T2^6 + 
      216*T1^4*T2^6 - 132*T1^5*T2^6 + 256*T1^6*T2^6 + 28*T1^7*T2^6 + 
      116*T1^8*T2^6 - 48*T1^9*T2^6 + 118*T1^10*T2^6 + 48*T1^11*T2^6 + 
      31*T1^12*T2^6 + 67*T1^13*T2^6 + 55*T1^14*T2^6 - 161*T2^7 - 88*T1*T2^7 + 
      101*T1^2*T2^7 - 153*T1^3*T2^7 - 28*T1^4*T2^7 - 76*T1^5*T2^7 + 
      28*T1^6*T2^7 - 255*T1^7*T2^7 - 17*T1^8*T2^7 + 21*T1^9*T2^7 - 
      76*T1^10*T2^7 - 77*T1^11*T2^7 - 55*T1^12*T2^7 + 10*T1^13*T2^7 - 
      88*T1^14*T2^7 - 21*T1^15*T2^7 + 65*T2^8 + 190*T1*T2^8 - 75*T1^2*T2^8 - 
      9*T1^3*T2^8 + 194*T1^4*T2^8 - 78*T1^5*T2^8 + 116*T1^6*T2^8 - 
      17*T1^7*T2^8 + 312*T1^8*T2^8 - 215*T1^9*T2^8 + 158*T1^10*T2^8 - 
      22*T1^11*T2^8 + 138*T1^12*T2^8 - 51*T1^13*T2^8 + 59*T1^14*T2^8 + 
      50*T1^15*T2^8 + T1^16*T2^8 - 141*T1*T2^9 - 68*T1^2*T2^9 + 
      94*T1^3*T2^9 - 125*T1^4*T2^9 - 7*T1^5*T2^9 - 48*T1^6*T2^9 + 
      21*T1^7*T2^9 - 215*T1^8*T2^9 + 23*T1^9*T2^9 + 14*T1^10*T2^9 - 
      48*T1^11*T2^9 - 56*T1^12*T2^9 - 27*T1^13*T2^9 + 3*T1^14*T2^9 - 
      68*T1^15*T2^9 - T1^16*T2^9 + 167*T1^2*T2^10 - 73*T1^3*T2^10 + 
      73*T1^4*T2^10 - 50*T1^5*T2^10 + 118*T1^6*T2^10 - 76*T1^7*T2^10 + 
      158*T1^8*T2^10 + 14*T1^9*T2^10 + 18*T1^10*T2^10 + 8*T1^11*T2^10 + 
      20*T1^12*T2^10 + 48*T1^13*T2^10 - 11*T1^14*T2^10 + 67*T1^15*T2^10 - 
      T1^16*T2^10 - 136*T1^3*T2^11 + 71*T1^4*T2^11 - 52*T1^5*T2^11 + 
      48*T1^6*T2^11 - 77*T1^7*T2^11 - 22*T1^8*T2^11 - 48*T1^9*T2^11 + 
      8*T1^10*T2^11 - 78*T1^11*T2^11 + 56*T1^12*T2^11 - 50*T1^13*T2^11 + 
      11*T1^14*T2^11 - 69*T1^15*T2^11 + 4*T1^16*T2^11 + 107*T1^4*T2^12 - 
      69*T1^5*T2^12 + 31*T1^6*T2^12 - 55*T1^7*T2^12 + 138*T1^8*T2^12 - 
      56*T1^9*T2^12 + 20*T1^10*T2^12 + 56*T1^11*T2^12 - 2*T1^12*T2^12 - 
      13*T1^13*T2^12 - 11*T1^14*T2^12 + 71*T1^15*T2^12 - 5*T1^16*T2^12 - 
      80*T1^5*T2^13 + 67*T1^6*T2^13 + 10*T1^7*T2^13 - 51*T1^8*T2^13 - 
      27*T1^9*T2^13 + 48*T1^10*T2^13 - 50*T1^11*T2^13 - 13*T1^12*T2^13 - 
      9*T1^13*T2^13 + 59*T1^14*T2^13 - 73*T1^15*T2^13 + 4*T1^16*T2^13 + 
      55*T1^6*T2^14 - 88*T1^7*T2^14 + 59*T1^8*T2^14 + 3*T1^9*T2^14 - 
      11*T1^10*T2^14 + 11*T1^11*T2^14 - 11*T1^12*T2^14 + 59*T1^13*T2^14 - 
      81*T1^14*T2^14 + 52*T1^15*T2^14 - T1^16*T2^14 - 21*T1^7*T2^15 + 
      50*T1^8*T2^15 - 68*T1^9*T2^15 + 67*T1^10*T2^15 - 69*T1^11*T2^15 + 
      71*T1^12*T2^15 - 73*T1^13*T2^15 + 52*T1^14*T2^15 - 20*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 - T1^10*T2^16 + 4*T1^11*T2^16 - 
      5*T1^12*T2^16 + 4*T1^13*T2^16 - T1^14*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 75] -> 
  {(3 - 10*T + 18*T^2 - 21*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3, 
   (-57 + 192*T1 - 350*T1^2 + 411*T1^3 - 350*T1^4 + 192*T1^5 - 57*T1^6 + 
     192*T2 - 540*T1*T2 + 822*T1^2*T2 - 739*T1^3*T2 + 431*T1^4*T2 - 
     18*T1^5*T2 - 150*T1^6*T2 + 102*T1^7*T2 - 350*T2^2 + 822*T1*T2^2 - 
     1027*T1^2*T2^2 + 586*T1^3*T2^2 - T1^4*T2^2 - 602*T1^5*T2^2 + 
     593*T1^6*T2^2 - 258*T1^7*T2^2 - 26*T1^8*T2^2 + 411*T2^3 - 739*T1*T2^3 + 
     586*T1^2*T2^3 + 231*T1^3*T2^3 - 746*T1^4*T2^3 + 982*T1^5*T2^3 - 
     273*T1^6*T2^3 - 476*T1^7*T2^3 + 611*T1^8*T2^3 - 156*T1^9*T2^3 - 
     350*T2^4 + 431*T1*T2^4 - T1^2*T2^4 - 746*T1^3*T2^4 + 707*T1^4*T2^4 - 
     333*T1^5*T2^4 - 673*T1^6*T2^4 + 1018*T1^7*T2^4 - 313*T1^8*T2^4 - 
     469*T1^9*T2^4 + 298*T1^10*T2^4 + 192*T2^5 - 18*T1*T2^5 - 602*T1^2*T2^5 + 
     982*T1^3*T2^5 - 333*T1^4*T2^5 - 462*T1^5*T2^5 + 1110*T1^6*T2^5 - 
     657*T1^7*T2^5 - 674*T1^8*T2^5 + 964*T1^9*T2^5 - 138*T1^10*T2^5 - 
     258*T1^11*T2^5 - 57*T2^6 - 150*T1*T2^6 + 593*T1^2*T2^6 - 273*T1^3*T2^6 - 
     673*T1^4*T2^6 + 1110*T1^5*T2^6 - 552*T1^6*T2^6 - 558*T1^7*T2^6 + 
     1619*T1^8*T2^6 - 687*T1^9*T2^6 - 491*T1^10*T2^6 + 510*T1^11*T2^6 + 
     105*T1^12*T2^6 + 102*T1*T2^7 - 258*T1^2*T2^7 - 476*T1^3*T2^7 + 
     1018*T1^4*T2^7 - 657*T1^5*T2^7 - 558*T1^6*T2^7 + 1014*T1^7*T2^7 - 
     981*T1^8*T2^7 - 638*T1^9*T2^7 + 1090*T1^10*T2^7 - 378*T1^11*T2^7 - 
     348*T1^12*T2^7 - 26*T1^2*T2^8 + 611*T1^3*T2^8 - 313*T1^4*T2^8 - 
     674*T1^5*T2^8 + 1619*T1^6*T2^8 - 981*T1^7*T2^8 + 239*T1^8*T2^8 + 
     1090*T1^9*T2^8 - 625*T1^10*T2^8 - 289*T1^11*T2^8 + 622*T1^12*T2^8 - 
     156*T1^3*T2^9 - 469*T1^4*T2^9 + 964*T1^5*T2^9 - 687*T1^6*T2^9 - 
     638*T1^7*T2^9 + 1090*T1^8*T2^9 - 1191*T1^9*T2^9 - 98*T1^10*T2^9 + 
     881*T1^11*T2^9 - 723*T1^12*T2^9 + 298*T1^4*T2^10 - 138*T1^5*T2^10 - 
     491*T1^6*T2^10 + 1090*T1^7*T2^10 - 625*T1^8*T2^10 - 98*T1^9*T2^10 + 
     1129*T1^10*T2^10 - 1218*T1^11*T2^10 + 622*T1^12*T2^10 - 258*T1^5*T2^11 + 
     510*T1^6*T2^11 - 378*T1^7*T2^11 - 289*T1^8*T2^11 + 881*T1^9*T2^11 - 
     1218*T1^10*T2^11 + 900*T1^11*T2^11 - 348*T1^12*T2^11 + 105*T1^6*T2^12 - 
     348*T1^7*T2^12 + 622*T1^8*T2^12 - 723*T1^9*T2^12 + 622*T1^10*T2^12 - 
     348*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 76] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((-5 + 30*T1 - 60*T1^2 + 75*T1^3 - 60*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
      158*T1*T2 + 214*T1^2*T2 - 161*T1^3*T2 + T1^4*T2 + 106*T1^5*T2 - 
      116*T1^6*T2 + 24*T1^7*T2 - 60*T2^2 + 214*T1*T2^2 + 151*T1^2*T2^2 - 
      673*T1^3*T2^2 + 1081*T1^4*T2^2 - 889*T1^5*T2^2 + 415*T1^6*T2^2 + 
      70*T1^7*T2^2 - 36*T1^8*T2^2 + 75*T2^3 - 161*T1*T2^3 - 673*T1^2*T2^3 + 
      1107*T1^3*T2^3 - 1034*T1^4*T2^3 + 100*T1^5*T2^3 + 531*T1^6*T2^3 - 
      709*T1^7*T2^3 + 37*T1^8*T2^3 + 30*T1^9*T2^3 - 60*T2^4 + T1*T2^4 + 
      1081*T1^2*T2^4 - 1034*T1^3*T2^4 + 574*T1^4*T2^4 + 468*T1^5*T2^4 - 
      518*T1^6*T2^4 + 226*T1^7*T2^4 + 577*T1^8*T2^4 - 107*T1^9*T2^4 - 
      12*T1^10*T2^4 + 30*T2^5 + 106*T1*T2^5 - 889*T1^2*T2^5 + 100*T1^3*T2^5 + 
      468*T1^4*T2^5 - 982*T1^5*T2^5 + 200*T1^6*T2^5 + 324*T1^7*T2^5 - 
      782*T1^8*T2^5 - 133*T1^9*T2^5 + 70*T1^10*T2^5 - 5*T2^6 - 116*T1*T2^6 + 
      415*T1^2*T2^6 + 531*T1^3*T2^6 - 518*T1^4*T2^6 + 200*T1^5*T2^6 + 
      816*T1^6*T2^6 - 844*T1^7*T2^6 + 562*T1^8*T2^6 + 441*T1^9*T2^6 - 
      89*T1^10*T2^6 - 8*T1^11*T2^6 + T1^12*T2^6 + 24*T1*T2^7 + 70*T1^2*T2^7 - 
      709*T1^3*T2^7 + 226*T1^4*T2^7 + 324*T1^5*T2^7 - 844*T1^6*T2^7 + 
      338*T1^7*T2^7 + 180*T1^8*T2^7 - 656*T1^9*T2^7 + 47*T1^10*T2^7 + 
      34*T1^11*T2^7 - 6*T1^12*T2^7 - 36*T1^2*T2^8 + 37*T1^3*T2^8 + 
      577*T1^4*T2^8 - 782*T1^5*T2^8 + 562*T1^6*T2^8 + 180*T1^7*T2^8 - 
      530*T1^8*T2^8 + 478*T1^9*T2^8 + 73*T1^10*T2^8 - 71*T1^11*T2^8 + 
      12*T1^12*T2^8 + 30*T1^3*T2^9 - 107*T1^4*T2^9 - 133*T1^5*T2^9 + 
      441*T1^6*T2^9 - 656*T1^7*T2^9 + 478*T1^8*T2^9 - 135*T1^9*T2^9 - 
      169*T1^10*T2^9 + 91*T1^11*T2^9 - 15*T1^12*T2^9 - 12*T1^4*T2^10 + 
      70*T1^5*T2^10 - 89*T1^6*T2^10 + 47*T1^7*T2^10 + 73*T1^8*T2^10 - 
      169*T1^9*T2^10 + 175*T1^10*T2^10 - 74*T1^11*T2^10 + 12*T1^12*T2^10 - 
      8*T1^6*T2^11 + 34*T1^7*T2^11 - 71*T1^8*T2^11 + 91*T1^9*T2^11 - 
      74*T1^10*T2^11 + 34*T1^11*T2^11 - 6*T1^12*T2^11 + T1^6*T2^12 - 
      6*T1^7*T2^12 + 12*T1^8*T2^12 - 15*T1^9*T2^12 + 12*T1^10*T2^12 - 
      6*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 77] -> 
  {(3 - 7*T + 8*T^2 - 7*T^3 + 8*T^4 - 7*T^5 + 3*T^6)/T^3, 
   -((171 - 395*T1 + 448*T1^2 - 389*T1^3 + 448*T1^4 - 395*T1^5 + 171*T1^6 - 
      395*T2 + 583*T1*T2 - 272*T1^2*T2 + 33*T1^3*T2 - 282*T1^4*T2 + 
      43*T1^5*T2 + 373*T1^6*T2 - 332*T1^7*T2 + 448*T2^2 - 272*T1*T2^2 - 
      312*T1^2*T2^2 + 335*T1^3*T2^2 + 160*T1^4*T2^2 + 335*T1^5*T2^2 - 
      552*T1^6*T2^2 + 64*T1^7*T2^2 + 304*T1^8*T2^2 - 389*T2^3 + 33*T1*T2^3 + 
      335*T1^2*T2^3 - 37*T1^3*T2^3 - 380*T1^4*T2^3 - 275*T1^5*T2^3 + 
      173*T1^6*T2^3 + 279*T1^7*T2^3 - 240*T1^8*T2^3 - 200*T1^9*T2^3 + 
      448*T2^4 - 282*T1*T2^4 + 160*T1^2*T2^4 - 380*T1^3*T2^4 + 
      587*T1^4*T2^4 + 17*T1^5*T2^4 + 107*T1^6*T2^4 - 198*T1^7*T2^4 + 
      78*T1^8*T2^4 + 96*T1^9*T2^4 + 160*T1^10*T2^4 - 395*T2^5 + 43*T1*T2^5 + 
      335*T1^2*T2^5 - 275*T1^3*T2^5 + 17*T1^4*T2^5 - 427*T1^5*T2^5 + 
      203*T1^6*T2^5 + 17*T1^7*T2^5 - 226*T1^8*T2^5 + 167*T1^9*T2^5 - 
      188*T1^10*T2^5 - 80*T1^11*T2^5 + 171*T2^6 + 373*T1*T2^6 - 
      552*T1^2*T2^6 + 173*T1^3*T2^6 + 107*T1^4*T2^6 + 203*T1^5*T2^6 + 
      180*T1^6*T2^6 - 399*T1^7*T2^6 + 407*T1^8*T2^6 - 121*T1^9*T2^6 + 
      4*T1^10*T2^6 + 163*T1^11*T2^6 + 9*T1^12*T2^6 - 332*T1*T2^7 + 
      64*T1^2*T2^7 + 279*T1^3*T2^7 - 198*T1^4*T2^7 + 17*T1^5*T2^7 - 
      399*T1^6*T2^7 + 231*T1^7*T2^7 + 17*T1^8*T2^7 - 149*T1^9*T2^7 + 
      111*T1^10*T2^7 - 167*T1^11*T2^7 - 17*T1^12*T2^7 + 304*T1^2*T2^8 - 
      240*T1^3*T2^8 + 78*T1^4*T2^8 - 226*T1^5*T2^8 + 407*T1^6*T2^8 + 
      17*T1^7*T2^8 - 73*T1^8*T2^8 - 44*T1^9*T2^8 - 4*T1^10*T2^8 + 
      138*T1^11*T2^8 + 16*T1^12*T2^8 - 200*T1^3*T2^9 + 96*T1^4*T2^9 + 
      167*T1^5*T2^9 - 121*T1^6*T2^9 - 149*T1^7*T2^9 - 44*T1^8*T2^9 + 
      89*T1^9*T2^9 + 111*T1^10*T2^9 - 177*T1^11*T2^9 - 11*T1^12*T2^9 + 
      160*T1^4*T2^10 - 188*T1^5*T2^10 + 4*T1^6*T2^10 + 111*T1^7*T2^10 - 
      4*T1^8*T2^10 + 111*T1^9*T2^10 - 236*T1^10*T2^10 + 148*T1^11*T2^10 + 
      16*T1^12*T2^10 - 80*T1^5*T2^11 + 163*T1^6*T2^11 - 167*T1^7*T2^11 + 
      138*T1^8*T2^11 - 177*T1^9*T2^11 + 148*T1^10*T2^11 - 47*T1^11*T2^11 - 
      17*T1^12*T2^11 + 9*T1^6*T2^12 - 17*T1^7*T2^12 + 16*T1^8*T2^12 - 
      11*T1^9*T2^12 + 16*T1^10*T2^12 - 17*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 78] -> 
  {(5 - 16*T + 23*T^2 - 16*T^3 + 5*T^4)/T^2, 
   (-240 + 768*T1 - 1102*T1^2 + 768*T1^3 - 240*T1^4 + 768*T2 - 2086*T1*T2 + 
     2347*T1^2*T2 - 773*T1^3*T2 - 406*T1^4*T2 + 368*T1^5*T2 - 1102*T2^2 + 
     2347*T1*T2^2 - 1269*T1^2*T2^2 - 1987*T1^3*T2^2 + 2871*T1^4*T2^2 - 
     1333*T1^5*T2^2 + 48*T1^6*T2^2 + 768*T2^3 - 773*T1*T2^3 - 
     1987*T1^2*T2^3 + 5314*T1^3*T2^3 - 3998*T1^4*T2^3 + 221*T1^5*T2^3 + 
     1227*T1^6*T2^3 - 432*T1^7*T2^3 - 240*T2^4 - 406*T1*T2^4 + 
     2871*T1^2*T2^4 - 3998*T1^3*T2^4 + 492*T1^4*T2^4 + 3618*T1^5*T2^4 - 
     3021*T1^6*T2^4 + 554*T1^7*T2^4 + 260*T1^8*T2^4 + 368*T1*T2^5 - 
     1333*T1^2*T2^5 + 221*T1^3*T2^5 + 3618*T1^4*T2^5 - 5694*T1^5*T2^5 + 
     2429*T1^6*T2^5 + 667*T1^7*T2^5 - 832*T1^8*T2^5 + 48*T1^2*T2^6 + 
     1227*T1^3*T2^6 - 3021*T1^4*T2^6 + 2429*T1^5*T2^6 + 1119*T1^6*T2^6 - 
     2453*T1^7*T2^6 + 1198*T1^8*T2^6 - 432*T1^3*T2^7 + 554*T1^4*T2^7 + 
     667*T1^5*T2^7 - 2453*T1^6*T2^7 + 2234*T1^7*T2^7 - 832*T1^8*T2^7 + 
     260*T1^4*T2^8 - 832*T1^5*T2^8 + 1198*T1^6*T2^8 - 832*T1^7*T2^8 + 
     260*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 79] -> {-((1 - 6*T + 9*T^2 - 6*T^3 + T^4)/T^2), 
   -((-3 + 18*T1 - 27*T1^2 + 18*T1^3 - 3*T1^4 + 18*T2 - 104*T1*T2 + 
      92*T1^2*T2 + 2*T1^3*T2 - 62*T1^4*T2 + 12*T1^5*T2 - 27*T2^2 + 
      92*T1*T2^2 + 256*T1^2*T2^2 - 528*T1^3*T2^2 + 400*T1^4*T2^2 - 
      16*T1^5*T2^2 - 9*T1^6*T2^2 + 18*T2^3 + 2*T1*T2^3 - 528*T1^2*T2^3 + 
      568*T1^3*T2^3 - 116*T1^4*T2^3 - 312*T1^5*T2^3 + 56*T1^6*T2^3 - 3*T2^4 - 
      62*T1*T2^4 + 400*T1^2*T2^4 - 116*T1^3*T2^4 - 324*T1^4*T2^4 + 
      436*T1^5*T2^4 + 4*T1^6*T2^4 - 14*T1^7*T2^4 + T1^8*T2^4 + 12*T1*T2^5 - 
      16*T1^2*T2^5 - 312*T1^3*T2^5 + 436*T1^4*T2^5 - 248*T1^5*T2^5 - 
      96*T1^6*T2^5 + 38*T1^7*T2^5 - 6*T1^8*T2^5 - 9*T1^2*T2^6 + 
      56*T1^3*T2^6 + 4*T1^4*T2^6 - 96*T1^5*T2^6 + 148*T1^6*T2^6 - 
      52*T1^7*T2^6 + 9*T1^8*T2^6 - 14*T1^4*T2^7 + 38*T1^5*T2^7 - 
      52*T1^6*T2^7 + 28*T1^7*T2^7 - 6*T1^8*T2^7 + T1^4*T2^8 - 6*T1^5*T2^8 + 
      9*T1^6*T2^8 - 6*T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 80] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-15 + 53*T1 - 113*T1^2 + 143*T1^3 - 113*T1^4 + 53*T1^5 - 15*T1^6 + 
     53*T2 - 162*T1*T2 + 310*T1^2*T2 - 316*T1^3*T2 + 160*T1^4*T2 + 
     2*T1^5*T2 - 36*T1^6*T2 + 25*T1^7*T2 - 113*T2^2 + 310*T1*T2^2 - 
     470*T1^2*T2^2 + 233*T1^3*T2^2 + 250*T1^4*T2^2 - 487*T1^5*T2^2 + 
     310*T1^6*T2^2 - 110*T1^7*T2^2 + 7*T1^8*T2^2 + 143*T2^3 - 316*T1*T2^3 + 
     233*T1^2*T2^3 + 281*T1^3*T2^3 - 715*T1^4*T2^3 + 347*T1^5*T2^3 + 
     365*T1^6*T2^3 - 532*T1^7*T2^3 + 272*T1^8*T2^3 - 85*T1^9*T2^3 - 
     113*T2^4 + 160*T1*T2^4 + 250*T1^2*T2^4 - 715*T1^3*T2^4 + 794*T1^4*T2^4 + 
     194*T1^5*T2^4 - 838*T1^6*T2^4 + 463*T1^7*T2^4 + 188*T1^8*T2^4 - 
     148*T1^9*T2^4 + 127*T1^10*T2^4 + 53*T2^5 + 2*T1*T2^5 - 487*T1^2*T2^5 + 
     347*T1^3*T2^5 + 194*T1^4*T2^5 - 1690*T1^5*T2^5 + 1700*T1^6*T2^5 - 
     511*T1^7*T2^5 - 483*T1^8*T2^5 + 98*T1^9*T2^5 - 138*T1^10*T2^5 - 
     87*T1^11*T2^5 - 15*T2^6 - 36*T1*T2^6 + 310*T1^2*T2^6 + 365*T1^3*T2^6 - 
     838*T1^4*T2^6 + 1700*T1^5*T2^6 - 312*T1^6*T2^6 - 1320*T1^7*T2^6 + 
     1648*T1^8*T2^6 - 301*T1^9*T2^6 + 198*T1^10*T2^6 + 188*T1^11*T2^6 + 
     33*T1^12*T2^6 + 25*T1*T2^7 - 110*T1^2*T2^7 - 532*T1^3*T2^7 + 
     463*T1^4*T2^7 - 511*T1^5*T2^7 - 1320*T1^6*T2^7 + 2070*T1^7*T2^7 - 
     1216*T1^8*T2^7 - 367*T1^9*T2^7 + 53*T1^10*T2^7 - 250*T1^11*T2^7 - 
     115*T1^12*T2^7 + 7*T1^2*T2^8 + 272*T1^3*T2^8 + 188*T1^4*T2^8 - 
     483*T1^5*T2^8 + 1648*T1^6*T2^8 - 1216*T1^7*T2^8 + 16*T1^8*T2^8 + 
     695*T1^9*T2^8 + 126*T1^10*T2^8 - 36*T1^11*T2^8 + 247*T1^12*T2^8 - 
     85*T1^3*T2^9 - 148*T1^4*T2^9 + 98*T1^5*T2^9 - 301*T1^6*T2^9 - 
     367*T1^7*T2^9 + 695*T1^8*T2^9 - 217*T1^9*T2^9 - 667*T1^10*T2^9 + 
     440*T1^11*T2^9 - 313*T1^12*T2^9 + 127*T1^4*T2^10 - 138*T1^5*T2^10 + 
     198*T1^6*T2^10 + 53*T1^7*T2^10 + 126*T1^8*T2^10 - 667*T1^9*T2^10 + 
     978*T1^10*T2^10 - 558*T1^11*T2^10 + 247*T1^12*T2^10 - 87*T1^5*T2^11 + 
     188*T1^6*T2^11 - 250*T1^7*T2^11 - 36*T1^8*T2^11 + 440*T1^9*T2^11 - 
     558*T1^10*T2^11 + 314*T1^11*T2^11 - 115*T1^12*T2^11 + 33*T1^6*T2^12 - 
     115*T1^7*T2^12 + 247*T1^8*T2^12 - 313*T1^9*T2^12 + 247*T1^10*T2^12 - 
     115*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 81] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 225*T1 - 469*T1^2 + 591*T1^3 - 469*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1570*T1^2*T2 - 1168*T1^3*T2 - 24*T1^4*T2 + 
      822*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 469*T2^2 + 1570*T1*T2^2 - 
      121*T1^2*T2^2 - 3120*T1^3*T2^2 + 5771*T1^4*T2^2 - 4776*T1^5*T2^2 + 
      1811*T1^6*T2^2 + 558*T1^7*T2^2 - 285*T1^8*T2^2 + 591*T2^3 - 
      1168*T1*T2^3 - 3120*T1^2*T2^3 + 6845*T1^3*T2^3 - 6539*T1^4*T2^3 + 
      701*T1^5*T2^3 + 3637*T1^6*T2^3 - 3833*T1^7*T2^3 + 240*T1^8*T2^3 + 
      243*T1^9*T2^3 - 469*T2^4 - 24*T1*T2^4 + 5771*T1^2*T2^4 - 
      6539*T1^3*T2^4 + 2197*T1^4*T2^4 + 5021*T1^5*T2^4 - 5423*T1^6*T2^4 + 
      1523*T1^7*T2^4 + 2985*T1^8*T2^4 - 772*T1^9*T2^4 - 101*T1^10*T2^4 + 
      225*T2^5 + 822*T1*T2^5 - 4776*T1^2*T2^5 + 701*T1^3*T2^5 + 
      5021*T1^4*T2^5 - 8100*T1^5*T2^5 + 2208*T1^6*T2^5 + 3342*T1^7*T2^5 - 
      4895*T1^8*T2^5 - 291*T1^9*T2^5 + 514*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 1811*T1^2*T2^6 + 3637*T1^3*T2^6 - 
      5423*T1^4*T2^6 + 2208*T1^5*T2^6 + 5520*T1^6*T2^6 - 6936*T1^7*T2^6 + 
      3311*T1^8*T2^6 + 2435*T1^9*T2^6 - 845*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 558*T1^2*T2^7 - 3833*T1^3*T2^7 + 
      1523*T1^4*T2^7 + 3342*T1^5*T2^7 - 6936*T1^6*T2^7 + 3372*T1^7*T2^7 + 
      1663*T1^8*T2^7 - 4073*T1^9*T2^7 + 652*T1^10*T2^7 + 250*T1^11*T2^7 - 
      39*T1^12*T2^7 - 285*T1^2*T2^8 + 240*T1^3*T2^8 + 2985*T1^4*T2^8 - 
      4895*T1^5*T2^8 + 3311*T1^6*T2^8 + 1663*T1^7*T2^8 - 4309*T1^8*T2^8 + 
      3167*T1^9*T2^8 + 199*T1^10*T2^8 - 508*T1^11*T2^8 + 83*T1^12*T2^8 + 
      243*T1^3*T2^9 - 772*T1^4*T2^9 - 291*T1^5*T2^9 + 2435*T1^6*T2^9 - 
      4073*T1^7*T2^9 + 3167*T1^8*T2^9 - 773*T1^9*T2^9 - 1004*T1^10*T2^9 + 
      636*T1^11*T2^9 - 105*T1^12*T2^9 - 101*T1^4*T2^10 + 514*T1^5*T2^10 - 
      845*T1^6*T2^10 + 652*T1^7*T2^10 + 199*T1^8*T2^10 - 1004*T1^9*T2^10 + 
      1087*T1^10*T2^10 - 498*T1^11*T2^10 + 83*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 250*T1^7*T2^11 - 508*T1^8*T2^11 + 636*T1^9*T2^11 - 
      498*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 83*T1^8*T2^12 - 105*T1^9*T2^12 + 83*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 82] -> 
  {((2 - 3*T + 2*T^2)*(1 - T + T^2 - T^3 + T^4))/T^3, 
   (-15 + 39*T1 - 57*T1^2 + 59*T1^3 - 57*T1^4 + 39*T1^5 - 15*T1^6 + 39*T2 - 
     86*T1*T2 + 102*T1^2*T2 - 78*T1^3*T2 + 62*T1^4*T2 - 18*T1^5*T2 - 
     16*T1^6*T2 + 19*T1^7*T2 - 57*T2^2 + 102*T1*T2^2 - 101*T1^2*T2^2 + 
     78*T1^3*T2^2 - 91*T1^4*T2^2 + 22*T1^5*T2^2 + 39*T1^6*T2^2 - 
     38*T1^7*T2^2 - T1^8*T2^2 + 59*T2^3 - 78*T1*T2^3 + 78*T1^2*T2^3 - 
     69*T1^3*T2^3 + 77*T1^4*T2^3 + 63*T1^5*T2^3 - 111*T1^6*T2^3 + 
     29*T1^7*T2^3 + 62*T1^8*T2^3 - 25*T1^9*T2^3 - 57*T2^4 + 62*T1*T2^4 - 
     91*T1^2*T2^4 + 77*T1^3*T2^4 - 76*T1^4*T2^4 - 88*T1^5*T2^4 + 
     64*T1^6*T2^4 + 35*T1^7*T2^4 - 49*T1^8*T2^4 - 78*T1^9*T2^4 + 
     55*T1^10*T2^4 + 39*T2^5 - 18*T1*T2^5 + 22*T1^2*T2^5 + 63*T1^3*T2^5 - 
     88*T1^4*T2^5 + 194*T1^5*T2^5 - 30*T1^6*T2^5 - 81*T1^7*T2^5 + 
     21*T1^8*T2^5 + 99*T1^9*T2^5 + 22*T1^10*T2^5 - 61*T1^11*T2^5 - 15*T2^6 - 
     16*T1*T2^6 + 39*T1^2*T2^6 - 111*T1^3*T2^6 + 64*T1^4*T2^6 - 
     30*T1^5*T2^6 - 168*T1^6*T2^6 + 154*T1^7*T2^6 + 22*T1^8*T2^6 - 
     69*T1^9*T2^6 - 97*T1^10*T2^6 + 64*T1^11*T2^6 + 33*T1^12*T2^6 + 
     19*T1*T2^7 - 38*T1^2*T2^7 + 29*T1^3*T2^7 + 35*T1^4*T2^7 - 81*T1^5*T2^7 + 
     154*T1^6*T2^7 - 70*T1^7*T2^7 - 74*T1^8*T2^7 - 7*T1^9*T2^7 + 
     106*T1^10*T2^7 + 2*T1^11*T2^7 - 81*T1^12*T2^7 - T1^2*T2^8 + 
     62*T1^3*T2^8 - 49*T1^4*T2^8 + 21*T1^5*T2^8 + 22*T1^6*T2^8 - 
     74*T1^7*T2^8 + 162*T1^8*T2^8 - 21*T1^9*T2^8 - 7*T1^10*T2^8 - 
     78*T1^11*T2^8 + 111*T1^12*T2^8 - 25*T1^3*T2^9 - 78*T1^4*T2^9 + 
     99*T1^5*T2^9 - 69*T1^6*T2^9 - 7*T1^7*T2^9 - 21*T1^8*T2^9 - 
     111*T1^9*T2^9 + 50*T1^10*T2^9 + 62*T1^11*T2^9 - 109*T1^12*T2^9 + 
     55*T1^4*T2^10 + 22*T1^5*T2^10 - 97*T1^6*T2^10 + 106*T1^7*T2^10 - 
     7*T1^8*T2^10 + 50*T1^9*T2^10 + 43*T1^10*T2^10 - 118*T1^11*T2^10 + 
     111*T1^12*T2^10 - 61*T1^5*T2^11 + 64*T1^6*T2^11 + 2*T1^7*T2^11 - 
     78*T1^8*T2^11 + 62*T1^9*T2^11 - 118*T1^10*T2^11 + 134*T1^11*T2^11 - 
     81*T1^12*T2^11 + 33*T1^6*T2^12 - 81*T1^7*T2^12 + 111*T1^8*T2^12 - 
     109*T1^9*T2^12 + 111*T1^10*T2^12 - 81*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 83] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-41 + 224*T1 - 486*T1^2 + 627*T1^3 - 486*T1^4 + 224*T1^5 - 41*T1^6 + 
      224*T2 - 1046*T1*T2 + 1680*T1^2*T2 - 1302*T1^3*T2 - 92*T1^4*T2 + 
      910*T1^5*T2 - 760*T1^6*T2 + 180*T1^7*T2 - 486*T2^2 + 1680*T1*T2^2 - 
      731*T1^2*T2^2 - 2551*T1^3*T2^2 + 5727*T1^4*T2^2 - 4471*T1^5*T2^2 + 
      1381*T1^6*T2^2 + 624*T1^7*T2^2 - 294*T1^8*T2^2 + 627*T2^3 - 
      1302*T1*T2^3 - 2551*T1^2*T2^3 + 7200*T1^3*T2^3 - 7598*T1^4*T2^3 + 
      412*T1^5*T2^3 + 4098*T1^6*T2^3 - 3583*T1^7*T2^3 + 216*T1^8*T2^3 + 
      255*T1^9*T2^3 - 486*T2^4 - 92*T1*T2^4 + 5727*T1^2*T2^4 - 
      7598*T1^3*T2^4 + 2275*T1^4*T2^4 + 7761*T1^5*T2^4 - 7141*T1^6*T2^4 + 
      1454*T1^7*T2^4 + 2833*T1^8*T2^4 - 840*T1^9*T2^4 - 102*T1^10*T2^4 + 
      224*T2^5 + 910*T1*T2^5 - 4471*T1^2*T2^5 + 412*T1^3*T2^5 + 
      7761*T1^4*T2^5 - 12204*T1^5*T2^5 + 2426*T1^6*T2^5 + 5217*T1^7*T2^5 - 
      5514*T1^8*T2^5 + 113*T1^9*T2^5 + 536*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 760*T1*T2^6 + 1381*T1^2*T2^6 + 4098*T1^3*T2^6 - 
      7141*T1^4*T2^6 + 2426*T1^5*T2^6 + 9324*T1^6*T2^6 - 10230*T1^7*T2^6 + 
      3775*T1^8*T2^6 + 2298*T1^9*T2^6 - 1063*T1^10*T2^6 - 56*T1^11*T2^6 + 
      7*T1^12*T2^6 + 180*T1*T2^7 + 624*T1^2*T2^7 - 3583*T1^3*T2^7 + 
      1454*T1^4*T2^7 + 5217*T1^5*T2^7 - 10230*T1^6*T2^7 + 4400*T1^7*T2^7 + 
      2673*T1^8*T2^7 - 4472*T1^9*T2^7 + 1001*T1^10*T2^7 + 250*T1^11*T2^7 - 
      40*T1^12*T2^7 - 294*T1^2*T2^8 + 216*T1^3*T2^8 + 2833*T1^4*T2^8 - 
      5514*T1^5*T2^8 + 3775*T1^6*T2^8 + 2673*T1^7*T2^8 - 5641*T1^8*T2^8 + 
      3538*T1^9*T2^8 - 61*T1^10*T2^8 - 532*T1^11*T2^8 + 90*T1^12*T2^8 + 
      255*T1^3*T2^9 - 840*T1^4*T2^9 + 113*T1^5*T2^9 + 2298*T1^6*T2^9 - 
      4472*T1^7*T2^9 + 3538*T1^8*T2^9 - 804*T1^9*T2^9 - 919*T1^10*T2^9 + 
      678*T1^11*T2^9 - 117*T1^12*T2^9 - 102*T1^4*T2^10 + 536*T1^5*T2^10 - 
      1063*T1^6*T2^10 + 1001*T1^7*T2^10 - 61*T1^8*T2^10 - 919*T1^9*T2^10 + 
      1049*T1^10*T2^10 - 520*T1^11*T2^10 + 90*T1^12*T2^10 + 4*T1^5*T2^11 - 
      56*T1^6*T2^11 + 250*T1^7*T2^11 - 532*T1^8*T2^11 + 678*T1^9*T2^11 - 
      520*T1^10*T2^11 + 230*T1^11*T2^11 - 40*T1^12*T2^11 + 7*T1^6*T2^12 - 
      40*T1^7*T2^12 + 90*T1^8*T2^12 - 117*T1^9*T2^12 + 90*T1^10*T2^12 - 
      40*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 84] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-31 + 108*T1 - 214*T1^2 + 259*T1^3 - 214*T1^4 + 108*T1^5 - 31*T1^6 + 
     108*T2 - 296*T1*T2 + 466*T1^2*T2 - 352*T1^3*T2 + 82*T1^4*T2 + 
     172*T1^5*T2 - 170*T1^6*T2 + 80*T1^7*T2 - 214*T2^2 + 466*T1*T2^2 - 
     584*T1^2*T2^2 + 159*T1^3*T2^2 + 240*T1^4*T2^2 - 401*T1^5*T2^2 + 
     88*T1^6*T2^2 + 74*T1^7*T2^2 - 102*T1^8*T2^2 + 259*T2^3 - 352*T1*T2^3 + 
     159*T1^2*T2^3 + 566*T1^3*T2^3 - 645*T1^4*T2^3 + 251*T1^5*T2^3 + 
     446*T1^6*T2^3 - 387*T1^7*T2^3 + 166*T1^8*T2^3 + 55*T1^9*T2^3 - 
     214*T2^4 + 82*T1*T2^4 + 240*T1^2*T2^4 - 645*T1^3*T2^4 - 56*T1^4*T2^4 + 
     806*T1^5*T2^4 - 1092*T1^6*T2^4 + 307*T1^7*T2^4 + 142*T1^8*T2^4 - 
     226*T1^9*T2^4 + 10*T1^10*T2^4 + 108*T2^5 + 172*T1*T2^5 - 401*T1^2*T2^5 + 
     251*T1^3*T2^5 + 806*T1^4*T2^5 - 1196*T1^5*T2^5 + 638*T1^6*T2^5 + 
     414*T1^7*T2^5 - 533*T1^8*T2^5 + 201*T1^9*T2^5 + 74*T1^10*T2^5 - 
     32*T1^11*T2^5 - 31*T2^6 - 170*T1*T2^6 + 88*T1^2*T2^6 + 446*T1^3*T2^6 - 
     1092*T1^4*T2^6 + 638*T1^5*T2^6 + 516*T1^6*T2^6 - 1098*T1^7*T2^6 + 
     616*T1^8*T2^6 + 38*T1^9*T2^6 - 164*T1^10*T2^6 + 54*T1^11*T2^6 + 
     17*T1^12*T2^6 + 80*T1*T2^7 + 74*T1^2*T2^7 - 387*T1^3*T2^7 + 
     307*T1^4*T2^7 + 414*T1^5*T2^7 - 1098*T1^6*T2^7 + 736*T1^7*T2^7 + 
     22*T1^8*T2^7 - 477*T1^9*T2^7 + 215*T1^10*T2^7 - 24*T1^11*T2^7 - 
     60*T1^12*T2^7 - 102*T1^2*T2^8 + 166*T1^3*T2^8 + 142*T1^4*T2^8 - 
     533*T1^5*T2^8 + 616*T1^6*T2^8 + 22*T1^7*T2^8 - 420*T1^8*T2^8 + 
     419*T1^9*T2^8 + 44*T1^10*T2^8 - 142*T1^11*T2^8 + 122*T1^12*T2^8 + 
     55*T1^3*T2^9 - 226*T1^4*T2^9 + 201*T1^5*T2^9 + 38*T1^6*T2^9 - 
     477*T1^7*T2^9 + 419*T1^8*T2^9 - 82*T1^9*T2^9 - 345*T1^10*T2^9 + 
     292*T1^11*T2^9 - 149*T1^12*T2^9 + 10*T1^4*T2^10 + 74*T1^5*T2^10 - 
     164*T1^6*T2^10 + 215*T1^7*T2^10 + 44*T1^8*T2^10 - 345*T1^9*T2^10 + 
     508*T1^10*T2^10 - 318*T1^11*T2^10 + 122*T1^12*T2^10 - 32*T1^5*T2^11 + 
     54*T1^6*T2^11 - 24*T1^7*T2^11 - 142*T1^8*T2^11 + 292*T1^9*T2^11 - 
     318*T1^10*T2^11 + 180*T1^11*T2^11 - 60*T1^12*T2^11 + 17*T1^6*T2^12 - 
     60*T1^7*T2^12 + 122*T1^8*T2^12 - 149*T1^9*T2^12 + 122*T1^10*T2^12 - 
     60*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 85] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-23 + 92*T1 - 161*T1^2 + 195*T1^3 - 161*T1^4 + 92*T1^5 - 23*T1^6 + 
      92*T2 - 308*T1*T2 + 405*T1^2*T2 - 361*T1^3*T2 + 135*T1^4*T2 + 
      53*T1^5*T2 - 148*T1^6*T2 + 60*T1^7*T2 - 161*T2^2 + 405*T1*T2^2 - 
      214*T1^2*T2^2 - 158*T1^3*T2^2 + 626*T1^4*T2^2 - 662*T1^5*T2^2 + 
      458*T1^6*T2^2 - 43*T1^7*T2^2 - 49*T1^8*T2^2 + 195*T2^3 - 361*T1*T2^3 - 
      158*T1^2*T2^3 + 666*T1^3*T2^3 - 882*T1^4*T2^3 + 346*T1^5*T2^3 + 
      140*T1^6*T2^3 - 466*T1^7*T2^3 + 231*T1^8*T2^3 - 9*T1^9*T2^3 - 
      161*T2^4 + 135*T1*T2^4 + 626*T1^2*T2^4 - 882*T1^3*T2^4 + 
      239*T1^4*T2^4 + 727*T1^5*T2^4 - 865*T1^6*T2^4 + 478*T1^7*T2^4 + 
      18*T1^8*T2^4 - 217*T1^9*T2^4 + 63*T1^10*T2^4 + 92*T2^5 + 53*T1*T2^5 - 
      662*T1^2*T2^5 + 346*T1^3*T2^5 + 727*T1^4*T2^5 - 798*T1^5*T2^5 - 
      12*T1^6*T2^5 + 755*T1^7*T2^5 - 618*T1^8*T2^5 + 430*T1^9*T2^5 + 
      21*T1^10*T2^5 - 68*T1^11*T2^5 - 23*T2^6 - 148*T1*T2^6 + 458*T1^2*T2^6 + 
      140*T1^3*T2^6 - 865*T1^4*T2^6 - 12*T1^5*T2^6 + 624*T1^6*T2^6 - 
      660*T1^7*T2^6 - 177*T1^8*T2^6 + 180*T1^9*T2^6 - 470*T1^10*T2^6 + 
      172*T1^11*T2^6 + 25*T1^12*T2^6 + 60*T1*T2^7 - 43*T1^2*T2^7 - 
      466*T1^3*T2^7 + 478*T1^4*T2^7 + 755*T1^5*T2^7 - 660*T1^6*T2^7 + 
      126*T1^7*T2^7 + 783*T1^8*T2^7 - 486*T1^9*T2^7 + 626*T1^10*T2^7 - 
      75*T1^11*T2^7 - 100*T1^12*T2^7 - 49*T1^2*T2^8 + 231*T1^3*T2^8 + 
      18*T1^4*T2^8 - 618*T1^5*T2^8 - 177*T1^6*T2^8 + 783*T1^7*T2^8 - 
      1281*T1^8*T2^8 + 742*T1^9*T2^8 - 590*T1^10*T2^8 - 121*T1^11*T2^8 + 
      175*T1^12*T2^8 - 9*T1^3*T2^9 - 217*T1^4*T2^9 + 430*T1^5*T2^9 + 
      180*T1^6*T2^9 - 486*T1^7*T2^9 + 742*T1^8*T2^9 - 346*T1^9*T2^9 + 
      122*T1^10*T2^9 + 375*T1^11*T2^9 - 213*T1^12*T2^9 + 63*T1^4*T2^10 + 
      21*T1^5*T2^10 - 470*T1^6*T2^10 + 626*T1^7*T2^10 - 590*T1^8*T2^10 + 
      122*T1^9*T2^10 + 202*T1^10*T2^10 - 427*T1^11*T2^10 + 175*T1^12*T2^10 - 
      68*T1^5*T2^11 + 172*T1^6*T2^11 - 75*T1^7*T2^11 - 121*T1^8*T2^11 + 
      375*T1^9*T2^11 - 427*T1^10*T2^11 + 332*T1^11*T2^11 - 100*T1^12*T2^11 + 
      25*T1^6*T2^12 - 100*T1^7*T2^12 + 175*T1^8*T2^12 - 213*T1^9*T2^12 + 
      175*T1^10*T2^12 - 100*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 86] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 164*T1 - 392*T1^2 + 505*T1^3 - 392*T1^4 + 164*T1^5 - 33*T1^6 + 
     164*T2 - 692*T1*T2 + 1339*T1^2*T2 - 1045*T1^3*T2 + 55*T1^4*T2 + 
     659*T1^5*T2 - 452*T1^6*T2 + 124*T1^7*T2 - 392*T2^2 + 1339*T1*T2^2 - 
     1845*T1^2*T2^2 - 261*T1^3*T2^2 + 2337*T1^4*T2^2 - 2277*T1^5*T2^2 + 
     267*T1^6*T2^2 + 379*T1^7*T2^2 - 200*T1^8*T2^2 + 505*T2^3 - 
     1045*T1*T2^3 - 261*T1^2*T2^3 + 4968*T1^3*T2^3 - 5449*T1^4*T2^3 + 
     1427*T1^5*T2^3 + 2946*T1^6*T2^3 - 1845*T1^7*T2^3 + 335*T1^8*T2^3 + 
     133*T1^9*T2^3 - 392*T2^4 + 55*T1*T2^4 + 2337*T1^2*T2^4 - 
     5449*T1^3*T2^4 - 638*T1^4*T2^4 + 8162*T1^5*T2^4 - 9434*T1^6*T2^4 + 
     2239*T1^7*T2^4 + 745*T1^8*T2^4 - 625*T1^9*T2^4 - 8*T1^10*T2^4 + 
     164*T2^5 + 659*T1*T2^5 - 2277*T1^2*T2^5 + 1427*T1^3*T2^5 + 
     8162*T1^4*T2^5 - 11874*T1^5*T2^5 + 5766*T1^6*T2^5 + 4226*T1^7*T2^5 - 
     3825*T1^8*T2^5 + 1035*T1^9*T2^5 + 219*T1^10*T2^5 - 36*T1^11*T2^5 - 
     33*T2^6 - 452*T1*T2^6 + 267*T1^2*T2^6 + 2946*T1^3*T2^6 - 
     9434*T1^4*T2^6 + 5766*T1^5*T2^6 + 4128*T1^6*T2^6 - 9866*T1^7*T2^6 + 
     4086*T1^8*T2^6 + 282*T1^9*T2^6 - 853*T1^10*T2^6 + 108*T1^11*T2^6 + 
     15*T1^12*T2^6 + 124*T1*T2^7 + 379*T1^2*T2^7 - 1845*T1^3*T2^7 + 
     2239*T1^4*T2^7 + 4226*T1^5*T2^7 - 9866*T1^6*T2^7 + 7774*T1^7*T2^7 + 
     290*T1^8*T2^7 - 3013*T1^9*T2^7 + 1467*T1^10*T2^7 - 61*T1^11*T2^7 - 
     76*T1^12*T2^7 - 200*T1^2*T2^8 + 335*T1^3*T2^8 + 745*T1^4*T2^8 - 
     3825*T1^5*T2^8 + 4086*T1^6*T2^8 + 290*T1^7*T2^8 - 4710*T1^8*T2^8 + 
     3863*T1^9*T2^8 - 847*T1^10*T2^8 - 345*T1^11*T2^8 + 184*T1^12*T2^8 + 
     133*T1^3*T2^9 - 625*T1^4*T2^9 + 1035*T1^5*T2^9 + 282*T1^6*T2^9 - 
     3013*T1^7*T2^9 + 3863*T1^8*T2^9 - 1740*T1^9*T2^9 - 549*T1^10*T2^9 + 
     755*T1^11*T2^9 - 239*T1^12*T2^9 - 8*T1^4*T2^10 + 219*T1^5*T2^10 - 
     853*T1^6*T2^10 + 1467*T1^7*T2^10 - 847*T1^8*T2^10 - 549*T1^9*T2^10 + 
     1259*T1^10*T2^10 - 741*T1^11*T2^10 + 184*T1^12*T2^10 - 36*T1^5*T2^11 + 
     108*T1^6*T2^11 - 61*T1^7*T2^11 - 345*T1^8*T2^11 + 755*T1^9*T2^11 - 
     741*T1^10*T2^11 + 348*T1^11*T2^11 - 76*T1^12*T2^11 + 15*T1^6*T2^12 - 
     76*T1^7*T2^12 + 184*T1^8*T2^12 - 239*T1^9*T2^12 + 184*T1^10*T2^12 - 
     76*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 87] -> {(2 - 3*T + 2*T^2)^2/T^2, 
   -((8 - 20*T1 + 12*T1^2 + 12*T1^3 - 20*T1^4 + 8*T1^5 - 20*T2 + 194*T1*T2 - 
      468*T1^2*T2 + 632*T1^3*T2 - 468*T1^4*T2 + 194*T1^5*T2 - 20*T1^6*T2 + 
      12*T2^2 - 468*T1*T2^2 + 1048*T1^2*T2^2 - 1113*T1^3*T2^2 + 
      279*T1^4*T2^2 + 280*T1^5*T2^2 - 276*T1^6*T2^2 + 12*T1^7*T2^2 + 
      12*T2^3 + 632*T1*T2^3 - 1113*T1^2*T2^3 + 652*T1^3*T2^3 + 
      858*T1^4*T2^3 - 1116*T1^5*T2^3 + 519*T1^6*T2^3 + 88*T1^7*T2^3 + 
      12*T1^8*T2^3 - 20*T2^4 - 468*T1*T2^4 + 279*T1^2*T2^4 + 858*T1^3*T2^4 - 
      2258*T1^4*T2^4 + 1354*T1^5*T2^4 + 42*T1^6*T2^4 - 633*T1^7*T2^4 + 
      108*T1^8*T2^4 - 20*T1^9*T2^4 + 8*T2^5 + 194*T1*T2^5 + 280*T1^2*T2^5 - 
      1116*T1^3*T2^5 + 1354*T1^4*T2^5 + 432*T1^5*T2^5 - 1622*T1^6*T2^5 + 
      1252*T1^7*T2^5 - 104*T1^8*T2^5 - 62*T1^9*T2^5 + 8*T1^10*T2^5 - 
      20*T1*T2^6 - 276*T1^2*T2^6 + 519*T1^3*T2^6 + 42*T1^4*T2^6 - 
      1622*T1^5*T2^6 + 1990*T1^6*T2^6 - 774*T1^7*T2^6 - 393*T1^8*T2^6 + 
      300*T1^9*T2^6 - 20*T1^10*T2^6 + 12*T1^2*T2^7 + 88*T1^3*T2^7 - 
      633*T1^4*T2^7 + 1252*T1^5*T2^7 - 774*T1^6*T2^7 - 516*T1^7*T2^7 + 
      999*T1^8*T2^7 - 456*T1^9*T2^7 + 12*T1^10*T2^7 + 12*T1^3*T2^8 + 
      108*T1^4*T2^8 - 104*T1^5*T2^8 - 393*T1^6*T2^8 + 999*T1^7*T2^8 - 
      872*T1^8*T2^8 + 300*T1^9*T2^8 + 12*T1^10*T2^8 - 20*T1^4*T2^9 - 
      62*T1^5*T2^9 + 300*T1^6*T2^9 - 456*T1^7*T2^9 + 300*T1^8*T2^9 - 
      62*T1^9*T2^9 - 20*T1^10*T2^9 + 8*T1^5*T2^10 - 20*T1^6*T2^10 + 
      12*T1^7*T2^10 + 12*T1^8*T2^10 - 20*T1^9*T2^10 + 8*T1^10*T2^10)/
     (T1^6*T2^5*(-1 + T1*T2)))}, Knot[12, NonAlternating, 88] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   -((388 - 1340*T1 + 2471*T1^2 - 2936*T1^3 + 2471*T1^4 - 1340*T1^5 + 
      388*T1^6 - 1340*T2 + 3534*T1*T2 - 4736*T1^2*T2 + 3090*T1^3*T2 - 
      102*T1^4*T2 - 2496*T1^5*T2 + 2526*T1^6*T2 - 1116*T1^7*T2 + 2471*T2^2 - 
      4736*T1*T2^2 + 4051*T1^2*T2^2 + 469*T1^3*T2^2 - 3515*T1^4*T2^2 + 
      4005*T1^5*T2^2 - 525*T1^6*T2^2 - 1824*T1^7*T2^2 + 1639*T1^8*T2^2 - 
      2936*T2^3 + 3090*T1*T2^3 + 469*T1^2*T2^3 - 5632*T1^3*T2^3 + 
      4606*T1^4*T2^3 - 1262*T1^5*T2^3 - 4092*T1^6*T2^3 + 3589*T1^7*T2^3 - 
      662*T1^8*T2^3 - 1448*T1^9*T2^3 + 2471*T2^4 - 102*T1*T2^4 - 
      3515*T1^2*T2^4 + 4606*T1^3*T2^4 + 1979*T1^4*T2^4 - 5715*T1^5*T2^4 + 
      7583*T1^6*T2^4 - 1594*T1^7*T2^4 - 2179*T1^8*T2^4 + 2250*T1^9*T2^4 + 
      807*T1^10*T2^4 - 1340*T2^5 - 2496*T1*T2^5 + 4005*T1^2*T2^5 - 
      1262*T1^3*T2^5 - 5715*T1^4*T2^5 + 4910*T1^5*T2^5 - 2392*T1^6*T2^5 - 
      4415*T1^7*T2^5 + 3942*T1^8*T2^5 - 779*T1^9*T2^5 - 2048*T1^10*T2^5 - 
      220*T1^11*T2^5 + 388*T2^6 + 2526*T1*T2^6 - 525*T1^2*T2^6 - 
      4092*T1^3*T2^6 + 7583*T1^4*T2^6 - 2392*T1^5*T2^6 - 1260*T1^6*T2^6 + 
      4688*T1^7*T2^6 - 353*T1^8*T2^6 - 2572*T1^9*T2^6 + 2547*T1^10*T2^6 + 
      734*T1^11*T2^6 + 4*T1^12*T2^6 - 1116*T1*T2^7 - 1824*T1^2*T2^7 + 
      3589*T1^3*T2^7 - 1594*T1^4*T2^7 - 4415*T1^5*T2^7 + 4688*T1^6*T2^7 - 
      2614*T1^7*T2^7 - 3115*T1^8*T2^7 + 3610*T1^9*T2^7 - 1195*T1^10*T2^7 - 
      1376*T1^11*T2^7 + 4*T1^12*T2^7 + 1639*T1^2*T2^8 - 662*T1^3*T2^8 - 
      2179*T1^4*T2^8 + 3942*T1^5*T2^8 - 353*T1^6*T2^8 - 3115*T1^7*T2^8 + 
      5251*T1^8*T2^8 - 2258*T1^9*T2^8 - 843*T1^10*T2^8 + 1690*T1^11*T2^8 - 
      25*T1^12*T2^8 - 1448*T1^3*T2^9 + 2250*T1^4*T2^9 - 779*T1^5*T2^9 - 
      2572*T1^6*T2^9 + 3610*T1^7*T2^9 - 2258*T1^8*T2^9 - 1032*T1^9*T2^9 + 
      2341*T1^10*T2^9 - 1502*T1^11*T2^9 + 40*T1^12*T2^9 + 807*T1^4*T2^10 - 
      2048*T1^5*T2^10 + 2547*T1^6*T2^10 - 1195*T1^7*T2^10 - 843*T1^8*T2^10 + 
      2341*T1^9*T2^10 - 2029*T1^10*T2^10 + 864*T1^11*T2^10 - 25*T1^12*T2^10 - 
      220*T1^5*T2^11 + 734*T1^6*T2^11 - 1376*T1^7*T2^11 + 1690*T1^8*T2^11 - 
      1502*T1^9*T2^11 + 864*T1^10*T2^11 - 274*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^6*T2^12 + 4*T1^7*T2^12 - 25*T1^8*T2^12 + 40*T1^9*T2^12 - 
      25*T1^10*T2^12 + 4*T1^11*T2^12 + 4*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 89] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 42*T1^2 + 49*T1^3 - 49*T1^4 + 49*T1^5 - 42*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 72*T1^2*T2 - 52*T1^3*T2 + 
      28*T1^4*T2 - 28*T1^5*T2 + 32*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      42*T2^2 + 72*T1*T2^2 + 100*T1^2*T2^2 - 160*T1^3*T2^2 + 194*T1^4*T2^2 - 
      164*T1^5*T2^2 + 206*T1^6*T2^2 - 196*T1^7*T2^2 + 160*T1^8*T2^2 + 
      24*T1^9*T2^2 - 30*T1^10*T2^2 + 49*T2^3 - 52*T1*T2^3 - 160*T1^2*T2^3 + 
      79*T1^3*T2^3 - 61*T1^4*T2^3 - 3*T1^5*T2^3 - 66*T1^6*T2^3 + 
      20*T1^7*T2^3 + 7*T1^8*T2^3 - 166*T1^9*T2^3 + 8*T1^10*T2^3 + 
      28*T1^11*T2^3 - 49*T2^4 + 28*T1*T2^4 + 194*T1^2*T2^4 - 61*T1^3*T2^4 + 
      130*T1^4*T2^4 - 102*T1^5*T2^4 + 204*T1^6*T2^4 - 130*T1^7*T2^4 + 
      130*T1^8*T2^4 + 23*T1^9*T2^4 + 138*T1^10*T2^4 - 28*T1^11*T2^4 - 
      21*T1^12*T2^4 + 49*T2^5 - 28*T1*T2^5 - 164*T1^2*T2^5 - 3*T1^3*T2^5 - 
      102*T1^4*T2^5 + 47*T1^5*T2^5 - 127*T1^6*T2^5 + 27*T1^7*T2^5 - 
      51*T1^8*T2^5 - 95*T1^9*T2^5 - 52*T1^10*T2^5 - 80*T1^11*T2^5 + 
      28*T1^12*T2^5 + 14*T1^13*T2^5 - 42*T2^6 + 206*T1^2*T2^6 - 
      66*T1^3*T2^6 + 204*T1^4*T2^6 - 127*T1^5*T2^6 + 167*T1^6*T2^6 - 
      61*T1^7*T2^6 + 95*T1^8*T2^6 + 41*T1^9*T2^6 + 92*T1^10*T2^6 + 
      18*T1^11*T2^6 + 58*T1^12*T2^6 - 32*T1^13*T2^6 - 6*T1^14*T2^6 + 
      28*T2^7 + 32*T1*T2^7 - 196*T1^2*T2^7 + 20*T1^3*T2^7 - 130*T1^4*T2^7 + 
      27*T1^5*T2^7 - 61*T1^6*T2^7 + 25*T1^7*T2^7 - 83*T1^8*T2^7 - 
      18*T1^9*T2^7 - 99*T1^10*T2^7 + 3*T1^11*T2^7 - 49*T1^12*T2^7 - 
      10*T1^13*T2^7 + 24*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 160*T1^2*T2^8 + 
      7*T1^3*T2^8 + 130*T1^4*T2^8 - 51*T1^5*T2^8 + 95*T1^6*T2^8 - 
      83*T1^7*T2^8 + 72*T1^8*T2^8 + 31*T1^9*T2^8 + 41*T1^10*T2^8 + 
      47*T1^11*T2^8 - 14*T1^12*T2^8 + 49*T1^13*T2^8 - 32*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 24*T1^2*T2^9 - 166*T1^3*T2^9 + 
      23*T1^4*T2^9 - 95*T1^5*T2^9 + 41*T1^6*T2^9 - 18*T1^7*T2^9 + 
      31*T1^8*T2^9 - 77*T1^9*T2^9 + 25*T1^10*T2^9 - 85*T1^11*T2^9 + 
      38*T1^12*T2^9 - 46*T1^13*T2^9 + 20*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 30*T1^2*T2^10 + 8*T1^3*T2^10 + 138*T1^4*T2^10 - 
      52*T1^5*T2^10 + 92*T1^6*T2^10 - 99*T1^7*T2^10 + 41*T1^8*T2^10 + 
      25*T1^9*T2^10 - 31*T1^10*T2^10 + 69*T1^11*T2^10 - 20*T1^12*T2^10 + 
      32*T1^13*T2^10 - 10*T1^14*T2^10 - 24*T1^15*T2^10 + 6*T1^16*T2^10 + 
      28*T1^3*T2^11 - 28*T1^4*T2^11 - 80*T1^5*T2^11 + 18*T1^6*T2^11 + 
      3*T1^7*T2^11 + 47*T1^8*T2^11 - 85*T1^9*T2^11 + 69*T1^10*T2^11 - 
      51*T1^11*T2^11 + 10*T1^12*T2^11 - 31*T1^13*T2^11 + 4*T1^14*T2^11 + 
      28*T1^15*T2^11 - 7*T1^16*T2^11 - 21*T1^4*T2^12 + 28*T1^5*T2^12 + 
      58*T1^6*T2^12 - 49*T1^7*T2^12 - 14*T1^8*T2^12 + 38*T1^9*T2^12 - 
      20*T1^10*T2^12 + 10*T1^11*T2^12 - 14*T1^12*T2^12 + 35*T1^13*T2^12 + 
      2*T1^14*T2^12 - 28*T1^15*T2^12 + 7*T1^16*T2^12 + 14*T1^5*T2^13 - 
      32*T1^6*T2^13 - 10*T1^7*T2^13 + 49*T1^8*T2^13 - 46*T1^9*T2^13 + 
      32*T1^10*T2^13 - 31*T1^11*T2^13 + 35*T1^12*T2^13 - 23*T1^13*T2^13 - 
      16*T1^14*T2^13 + 28*T1^15*T2^13 - 7*T1^16*T2^13 - 6*T1^6*T2^14 + 
      24*T1^7*T2^14 - 32*T1^8*T2^14 + 20*T1^9*T2^14 - 10*T1^10*T2^14 + 
      4*T1^11*T2^14 + 2*T1^12*T2^14 - 16*T1^13*T2^14 + 28*T1^14*T2^14 - 
      24*T1^15*T2^14 + 6*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      24*T1^10*T2^15 + 28*T1^11*T2^15 - 28*T1^12*T2^15 + 28*T1^13*T2^15 - 
      24*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 6*T1^10*T2^16 - 7*T1^11*T2^16 + 7*T1^12*T2^16 - 
      7*T1^13*T2^16 + 6*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 90] -> 
  {(1 - 4*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 20*T1^2 + 30*T1^3 - 34*T1^4 + 30*T1^5 - 20*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 64*T1^2*T2 - 80*T1^3*T2 + 76*T1^4*T2 - 
     52*T1^5*T2 + 20*T1^6*T2 + 8*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 20*T2^2 + 
     64*T1*T2^2 - 140*T1^2*T2^2 + 156*T1^3*T2^2 - 135*T1^4*T2^2 + 
     72*T1^5*T2^2 + 5*T1^6*T2^2 - 64*T1^7*T2^2 + 40*T1^8*T2^2 - 
     16*T1^9*T2^2 + 30*T2^3 - 80*T1*T2^3 + 156*T1^2*T2^3 - 103*T1^3*T2^3 + 
     27*T1^4*T2^3 + 55*T1^5*T2^3 - 100*T1^6*T2^3 + 82*T1^7*T2^3 + 
     57*T1^8*T2^3 - 94*T1^9*T2^3 + 60*T1^10*T2^3 - 15*T1^11*T2^3 - 34*T2^4 + 
     76*T1*T2^4 - 135*T1^2*T2^4 + 27*T1^3*T2^4 + 26*T1^4*T2^4 - 4*T1^5*T2^4 - 
     36*T1^6*T2^4 + 88*T1^7*T2^4 - 206*T1^8*T2^4 + 87*T1^9*T2^4 + 
     65*T1^10*T2^4 - 76*T1^11*T2^4 + 34*T1^12*T2^4 + 30*T2^5 - 52*T1*T2^5 + 
     72*T1^2*T2^5 + 55*T1^3*T2^5 - 4*T1^4*T2^5 - 223*T1^5*T2^5 + 
     338*T1^6*T2^5 - 412*T1^7*T2^5 + 443*T1^8*T2^5 - 115*T1^9*T2^5 - 
     110*T1^10*T2^5 - 12*T1^11*T2^5 + 44*T1^12*T2^5 - 45*T1^13*T2^5 - 
     20*T2^6 + 20*T1*T2^6 + 5*T1^2*T2^6 - 100*T1^3*T2^6 - 36*T1^4*T2^6 + 
     338*T1^5*T2^6 - 260*T1^6*T2^6 + 196*T1^7*T2^6 + 20*T1^8*T2^6 - 
     462*T1^9*T2^6 + 444*T1^10*T2^6 + 40*T1^11*T2^6 - 15*T1^12*T2^6 + 
     20*T1^13*T2^6 + 40*T1^14*T2^6 + 8*T2^7 + 8*T1*T2^7 - 64*T1^2*T2^7 + 
     82*T1^3*T2^7 + 88*T1^4*T2^7 - 412*T1^5*T2^7 + 196*T1^6*T2^7 - 
     301*T1^7*T2^7 + 129*T1^8*T2^7 + 41*T1^9*T2^7 + 238*T1^10*T2^7 - 
     613*T1^11*T2^7 + 47*T1^12*T2^7 + 6*T1^13*T2^7 - 80*T1^14*T2^7 - 
     20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 40*T1^2*T2^8 + 57*T1^3*T2^8 - 
     206*T1^4*T2^8 + 443*T1^5*T2^8 + 20*T1^6*T2^8 + 129*T1^7*T2^8 + 
     216*T1^8*T2^8 - 289*T1^9*T2^8 + 110*T1^10*T2^8 + 5*T1^11*T2^8 + 
     690*T1^12*T2^8 - 253*T1^13*T2^8 + 136*T1^14*T2^8 + 56*T1^15*T2^8 + 
     6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 94*T1^3*T2^9 + 87*T1^4*T2^9 - 
     115*T1^5*T2^9 - 462*T1^6*T2^9 + 41*T1^7*T2^9 - 289*T1^8*T2^9 + 
     141*T1^9*T2^9 - 114*T1^10*T2^9 + 188*T1^11*T2^9 - 816*T1^12*T2^9 + 
     52*T1^13*T2^9 - 24*T1^14*T2^9 - 104*T1^15*T2^9 - 24*T1^16*T2^9 + 
     60*T1^3*T2^10 + 65*T1^4*T2^10 - 110*T1^5*T2^10 + 444*T1^6*T2^10 + 
     238*T1^7*T2^10 + 110*T1^8*T2^10 - 114*T1^9*T2^10 + 390*T1^10*T2^10 - 
     562*T1^11*T2^10 + 924*T1^12*T2^10 + 30*T1^13*T2^10 + 45*T1^14*T2^10 + 
     60*T1^15*T2^10 + 60*T1^16*T2^10 - 15*T1^3*T2^11 - 76*T1^4*T2^11 - 
     12*T1^5*T2^11 + 40*T1^6*T2^11 - 613*T1^7*T2^11 + 5*T1^8*T2^11 + 
     188*T1^9*T2^11 - 562*T1^10*T2^11 + 671*T1^11*T2^11 - 724*T1^12*T2^11 - 
     125*T1^13*T2^11 - 96*T1^14*T2^11 + 20*T1^15*T2^11 - 90*T1^16*T2^11 + 
     34*T1^4*T2^12 + 44*T1^5*T2^12 - 15*T1^6*T2^12 + 47*T1^7*T2^12 + 
     690*T1^8*T2^12 - 816*T1^9*T2^12 + 924*T1^10*T2^12 - 724*T1^11*T2^12 + 
     458*T1^12*T2^12 + 107*T1^13*T2^12 + 185*T1^14*T2^12 - 108*T1^15*T2^12 + 
     102*T1^16*T2^12 - 45*T1^5*T2^13 + 20*T1^6*T2^13 + 6*T1^7*T2^13 - 
     253*T1^8*T2^13 + 52*T1^9*T2^13 + 30*T1^10*T2^13 - 125*T1^11*T2^13 + 
     107*T1^12*T2^13 - 93*T1^13*T2^13 - 244*T1^14*T2^13 + 160*T1^15*T2^13 - 
     90*T1^16*T2^13 + 40*T1^6*T2^14 - 80*T1^7*T2^14 + 136*T1^8*T2^14 - 
     24*T1^9*T2^14 + 45*T1^10*T2^14 - 96*T1^11*T2^14 + 185*T1^12*T2^14 - 
     244*T1^13*T2^14 + 316*T1^14*T2^14 - 160*T1^15*T2^14 + 60*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 104*T1^9*T2^15 + 60*T1^10*T2^15 + 
     20*T1^11*T2^15 - 108*T1^12*T2^15 + 160*T1^13*T2^15 - 160*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     60*T1^10*T2^16 - 90*T1^11*T2^16 + 102*T1^12*T2^16 - 90*T1^13*T2^16 + 
     60*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 91] -> 
  {(1 - 6*T^2 + 15*T^3 - 19*T^4 + 15*T^5 - 6*T^6 + T^8)/T^4, 
   (-8 + 48*T1^2 - 120*T1^3 + 152*T1^4 - 120*T1^5 + 48*T1^6 - 8*T1^8 + 
     48*T2^2 - 248*T1^2*T2^2 + 685*T1^3*T2^2 - 1041*T1^4*T2^2 + 
     1144*T1^5*T2^2 - 885*T1^6*T2^2 + 505*T1^7*T2^2 - 164*T1^8*T2^2 + 
     36*T1^10*T2^2 - 120*T2^3 + 685*T1^2*T2^3 - 1709*T1^3*T2^3 + 
     2031*T1^4*T2^3 - 1220*T1^5*T2^3 - 275*T1^6*T2^3 + 1176*T1^7*T2^3 - 
     1079*T1^8*T2^3 + 415*T1^9*T2^3 - 75*T1^11*T2^3 + 152*T2^4 - 
     1041*T1^2*T2^4 + 2031*T1^3*T2^4 - 1368*T1^4*T2^4 - 755*T1^5*T2^4 + 
     2310*T1^6*T2^4 - 1895*T1^7*T2^4 + 152*T1^8*T2^4 + 891*T1^9*T2^4 - 
     585*T1^10*T2^4 + 76*T1^12*T2^4 - 120*T2^5 + 1144*T1^2*T2^5 - 
     1220*T1^3*T2^5 - 755*T1^4*T2^5 + 3085*T1^5*T2^5 - 2541*T1^6*T2^5 + 
     69*T1^7*T2^5 + 2245*T1^8*T2^5 - 1640*T1^9*T2^5 - 5*T1^10*T2^5 + 
     604*T1^11*T2^5 - 45*T1^13*T2^5 + 48*T2^6 - 885*T1^2*T2^6 - 
     275*T1^3*T2^6 + 2310*T1^4*T2^6 - 2541*T1^5*T2^6 - 1051*T1^6*T2^6 + 
     3645*T1^7*T2^6 - 3763*T1^8*T2^6 + 339*T1^9*T2^6 + 1398*T1^10*T2^6 - 
     815*T1^11*T2^6 - 441*T1^12*T2^6 + 12*T1^14*T2^6 + 505*T1^2*T2^7 + 
     1176*T1^3*T2^7 - 1895*T1^4*T2^7 + 69*T1^5*T2^7 + 3645*T1^6*T2^7 - 
     3251*T1^7*T2^7 + 769*T1^8*T2^7 + 2790*T1^9*T2^7 - 2001*T1^10*T2^7 + 
     10*T1^11*T2^7 + 891*T1^12*T2^7 + 235*T1^13*T2^7 - 8*T2^8 - 
     164*T1^2*T2^8 - 1079*T1^3*T2^8 + 152*T1^4*T2^8 + 2245*T1^5*T2^8 - 
     3763*T1^6*T2^8 + 769*T1^7*T2^8 + 1788*T1^8*T2^8 - 2921*T1^9*T2^8 + 
     59*T1^10*T2^8 + 1375*T1^11*T2^8 - 864*T1^12*T2^8 - 509*T1^13*T2^8 - 
     68*T1^14*T2^8 + 415*T1^3*T2^9 + 891*T1^4*T2^9 - 1640*T1^5*T2^9 + 
     339*T1^6*T2^9 + 2790*T1^7*T2^9 - 2921*T1^8*T2^9 + 1099*T1^9*T2^9 + 
     1935*T1^10*T2^9 - 1731*T1^11*T2^9 + 265*T1^12*T2^9 + 606*T1^13*T2^9 + 
     145*T1^14*T2^9 + 36*T1^2*T2^10 - 585*T1^4*T2^10 - 5*T1^5*T2^10 + 
     1398*T1^6*T2^10 - 2001*T1^7*T2^10 + 59*T1^8*T2^10 + 1935*T1^9*T2^10 - 
     2653*T1^10*T2^10 + 879*T1^11*T2^10 + 486*T1^12*T2^10 - 545*T1^13*T2^10 - 
     141*T1^14*T2^10 - 75*T1^3*T2^11 + 604*T1^5*T2^11 - 815*T1^6*T2^11 + 
     10*T1^7*T2^11 + 1375*T1^8*T2^11 - 1731*T1^9*T2^11 + 879*T1^10*T2^11 + 
     535*T1^11*T2^11 - 875*T1^12*T2^11 + 400*T1^13*T2^11 + 64*T1^14*T2^11 + 
     76*T1^4*T2^12 - 441*T1^6*T2^12 + 891*T1^7*T2^12 - 864*T1^8*T2^12 + 
     265*T1^9*T2^12 + 486*T1^10*T2^12 - 875*T1^11*T2^12 + 656*T1^12*T2^12 - 
     249*T1^13*T2^12 + 15*T1^14*T2^12 - 45*T1^5*T2^13 + 235*T1^7*T2^13 - 
     509*T1^8*T2^13 + 606*T1^9*T2^13 - 545*T1^10*T2^13 + 400*T1^11*T2^13 - 
     249*T1^12*T2^13 + 121*T1^13*T2^13 - 35*T1^14*T2^13 + 12*T1^6*T2^14 - 
     68*T1^8*T2^14 + 145*T1^9*T2^14 - 141*T1^10*T2^14 + 64*T1^11*T2^14 + 
     15*T1^12*T2^14 - 35*T1^13*T2^14 + 16*T1^14*T2^14)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 92] -> 
  {(1 - 4*T + 12*T^2 - 23*T^3 + 29*T^4 - 23*T^5 + 12*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 48*T1^2 + 92*T1^3 - 116*T1^4 + 92*T1^5 - 48*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 144*T1^2*T2 - 224*T1^3*T2 + 188*T1^4*T2 - 
     20*T1^5*T2 - 84*T1^6*T2 + 80*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     48*T2^2 + 144*T1*T2^2 - 406*T1^2*T2^2 + 616*T1^3*T2^2 - 561*T1^4*T2^2 + 
     246*T1^5*T2^2 - 153*T1^6*T2^2 + 160*T1^7*T2^2 - 142*T1^8*T2^2 + 
     48*T1^9*T2^2 - 24*T1^10*T2^2 + 92*T2^3 - 224*T1*T2^3 + 616*T1^2*T2^3 - 
     731*T1^3*T2^3 + 403*T1^4*T2^3 + 131*T1^5*T2^3 + 50*T1^6*T2^3 - 
     194*T1^7*T2^3 + 157*T1^8*T2^3 + 28*T1^9*T2^3 + 4*T1^10*T2^3 + 
     23*T1^11*T2^3 - 116*T2^4 + 188*T1*T2^4 - 561*T1^2*T2^4 + 403*T1^3*T2^4 - 
     131*T1^4*T2^4 + 217*T1^5*T2^4 - 1301*T1^6*T2^4 + 1141*T1^7*T2^4 - 
     379*T1^8*T2^4 - 241*T1^9*T2^4 + 95*T1^10*T2^4 - 92*T1^11*T2^4 + 
     92*T2^5 - 20*T1*T2^5 + 246*T1^2*T2^5 + 131*T1^3*T2^5 + 217*T1^4*T2^5 - 
     1399*T1^5*T2^5 + 2818*T1^6*T2^5 - 1194*T1^7*T2^5 - 463*T1^8*T2^5 + 
     818*T1^9*T2^5 - 20*T1^10*T2^5 - 18*T1^11*T2^5 + 92*T1^12*T2^5 - 
     23*T1^13*T2^5 - 48*T2^6 - 84*T1*T2^6 - 153*T1^2*T2^6 + 50*T1^3*T2^6 - 
     1301*T1^4*T2^6 + 2818*T1^5*T2^6 - 2742*T1^6*T2^6 - 1164*T1^7*T2^6 + 
     2890*T1^8*T2^6 - 1758*T1^9*T2^6 - 21*T1^10*T2^6 + 26*T1^11*T2^6 - 
     65*T1^12*T2^6 - 4*T1^13*T2^6 + 24*T1^14*T2^6 + 16*T2^7 + 80*T1*T2^7 + 
     160*T1^2*T2^7 - 194*T1^3*T2^7 + 1141*T1^4*T2^7 - 1194*T1^5*T2^7 - 
     1164*T1^6*T2^7 + 5205*T1^7*T2^7 - 4199*T1^8*T2^7 + 281*T1^9*T2^7 + 
     1690*T1^10*T2^7 - 752*T1^11*T2^7 + 215*T1^12*T2^7 - 44*T1^13*T2^7 - 
     48*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 142*T1^2*T2^8 + 
     157*T1^3*T2^8 - 379*T1^4*T2^8 - 463*T1^5*T2^8 + 2890*T1^6*T2^8 - 
     4199*T1^7*T2^8 + 360*T1^8*T2^8 + 3867*T1^9*T2^8 - 3196*T1^10*T2^8 + 
     527*T1^11*T2^8 + 325*T1^12*T2^8 - 121*T1^13*T2^8 + 146*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 48*T1^2*T2^9 + 
     28*T1^3*T2^9 - 241*T1^4*T2^9 + 818*T1^5*T2^9 - 1758*T1^6*T2^9 + 
     281*T1^7*T2^9 + 3867*T1^8*T2^9 - 5537*T1^9*T2^9 + 1726*T1^10*T2^9 + 
     1126*T1^11*T2^9 - 1075*T1^12*T2^9 + 168*T1^13*T2^9 - 176*T1^14*T2^9 - 
     80*T1^15*T2^9 - 16*T1^16*T2^9 - 24*T1^2*T2^10 + 4*T1^3*T2^10 + 
     95*T1^4*T2^10 - 20*T1^5*T2^10 - 21*T1^6*T2^10 + 1690*T1^7*T2^10 - 
     3196*T1^8*T2^10 + 1726*T1^9*T2^10 + 2436*T1^10*T2^10 - 
     2886*T1^11*T2^10 + 1259*T1^12*T2^10 - 44*T1^13*T2^10 + 183*T1^14*T2^10 + 
     84*T1^15*T2^10 + 48*T1^16*T2^10 + 23*T1^3*T2^11 - 92*T1^4*T2^11 - 
     18*T1^5*T2^11 + 26*T1^6*T2^11 - 752*T1^7*T2^11 + 527*T1^8*T2^11 + 
     1126*T1^9*T2^11 - 2886*T1^10*T2^11 + 1463*T1^11*T2^11 - 
     151*T1^12*T2^11 - 125*T1^13*T2^11 - 282*T1^14*T2^11 + 20*T1^15*T2^11 - 
     92*T1^16*T2^11 + 92*T1^5*T2^12 - 65*T1^6*T2^12 + 215*T1^7*T2^12 + 
     325*T1^8*T2^12 - 1075*T1^9*T2^12 + 1259*T1^10*T2^12 - 151*T1^11*T2^12 + 
     77*T1^12*T2^12 - 429*T1^13*T2^12 + 591*T1^14*T2^12 - 188*T1^15*T2^12 + 
     116*T1^16*T2^12 - 23*T1^5*T2^13 - 4*T1^6*T2^13 - 44*T1^7*T2^13 - 
     121*T1^8*T2^13 + 168*T1^9*T2^13 - 44*T1^10*T2^13 - 125*T1^11*T2^13 - 
     429*T1^12*T2^13 + 767*T1^13*T2^13 - 632*T1^14*T2^13 + 224*T1^15*T2^13 - 
     92*T1^16*T2^13 + 24*T1^6*T2^14 - 48*T1^7*T2^14 + 146*T1^8*T2^14 - 
     176*T1^9*T2^14 + 183*T1^10*T2^14 - 282*T1^11*T2^14 + 591*T1^12*T2^14 - 
     632*T1^13*T2^14 + 410*T1^14*T2^14 - 144*T1^15*T2^14 + 48*T1^16*T2^14 - 
     12*T1^7*T2^15 + 32*T1^8*T2^15 - 80*T1^9*T2^15 + 84*T1^10*T2^15 + 
     20*T1^11*T2^15 - 188*T1^12*T2^15 + 224*T1^13*T2^15 - 144*T1^14*T2^15 + 
     52*T1^15*T2^15 - 16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 
     48*T1^10*T2^16 - 92*T1^11*T2^16 + 116*T1^12*T2^16 - 92*T1^13*T2^16 + 
     48*T1^14*T2^16 - 16*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 93] -> 
  {-((1 - 4*T + 4*T^2 + T^3 - 5*T^4 + T^5 + 4*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 28*T1^2 - 7*T1^3 + 35*T1^4 - 7*T1^5 - 28*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 + 16*T1^2*T2 + 124*T1^3*T2 - 116*T1^4*T2 - 
      92*T1^5*T2 + 136*T1^6*T2 - 16*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      28*T2^2 + 16*T1*T2^2 + 248*T1^2*T2^2 - 324*T1^3*T2^2 - 44*T1^4*T2^2 + 
      438*T1^5*T2^2 - 116*T1^6*T2^2 - 284*T1^7*T2^2 + 272*T1^8*T2^2 - 
      16*T1^9*T2^2 - 20*T1^10*T2^2 - 7*T2^3 + 124*T1*T2^3 - 324*T1^2*T2^3 + 
      43*T1^3*T2^3 + 469*T1^4*T2^3 - 421*T1^5*T2^3 - 334*T1^6*T2^3 + 
      514*T1^7*T2^3 - 85*T1^8*T2^3 - 232*T1^9*T2^3 + 96*T1^10*T2^3 - 
      4*T1^11*T2^3 + 35*T2^4 - 116*T1*T2^4 - 44*T1^2*T2^4 + 469*T1^3*T2^4 - 
      499*T1^4*T2^4 - 179*T1^5*T2^4 + 655*T1^6*T2^4 - 207*T1^7*T2^4 - 
      419*T1^8*T2^4 + 425*T1^9*T2^4 - 92*T1^10*T2^4 - 44*T1^11*T2^4 + 
      15*T1^12*T2^4 - 7*T2^5 - 92*T1*T2^5 + 438*T1^2*T2^5 - 421*T1^3*T2^5 - 
      179*T1^4*T2^5 + 737*T1^5*T2^5 - 291*T1^6*T2^5 - 455*T1^7*T2^5 + 
      665*T1^8*T2^5 - 172*T1^9*T2^5 - 196*T1^10*T2^5 + 222*T1^11*T2^5 - 
      52*T1^12*T2^5 - 2*T1^13*T2^5 - 28*T2^6 + 136*T1*T2^6 - 116*T1^2*T2^6 - 
      334*T1^3*T2^6 + 655*T1^4*T2^6 - 291*T1^5*T2^6 - 465*T1^6*T2^6 + 
      555*T1^7*T2^6 - 113*T1^8*T2^6 - 371*T1^9*T2^6 + 399*T1^10*T2^6 - 
      214*T1^11*T2^6 + 4*T1^12*T2^6 + 24*T1^13*T2^6 - 4*T1^14*T2^6 + 
      28*T2^7 - 16*T1*T2^7 - 284*T1^2*T2^7 + 514*T1^3*T2^7 - 207*T1^4*T2^7 - 
      455*T1^5*T2^7 + 555*T1^6*T2^7 + 13*T1^7*T2^7 - 493*T1^8*T2^7 + 
      446*T1^9*T2^7 - 123*T1^10*T2^7 - 74*T1^11*T2^7 + 113*T1^12*T2^7 - 
      64*T1^13*T2^7 + 16*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 272*T1^2*T2^8 - 
      85*T1^3*T2^8 - 419*T1^4*T2^8 + 665*T1^5*T2^8 - 113*T1^6*T2^8 - 
      493*T1^7*T2^8 + 456*T1^8*T2^8 + 65*T1^9*T2^8 - 359*T1^10*T2^8 + 
      263*T1^11*T2^8 - 115*T1^12*T2^8 + 53*T1^13*T2^8 - 16*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 - 16*T1^2*T2^9 - 232*T1^3*T2^9 + 
      425*T1^4*T2^9 - 172*T1^5*T2^9 - 371*T1^6*T2^9 + 446*T1^7*T2^9 + 
      65*T1^8*T2^9 - 441*T1^9*T2^9 + 337*T1^10*T2^9 - 39*T1^11*T2^9 - 
      39*T1^12*T2^9 + 24*T1^13*T2^9 - 12*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 20*T1^2*T2^10 + 96*T1^3*T2^10 - 92*T1^4*T2^10 - 
      196*T1^5*T2^10 + 399*T1^6*T2^10 - 123*T1^7*T2^10 - 359*T1^8*T2^10 + 
      337*T1^9*T2^10 - 7*T1^10*T2^10 - 203*T1^11*T2^10 + 143*T1^12*T2^10 - 
      76*T1^13*T2^10 + 28*T1^14*T2^10 - 16*T1^15*T2^10 + 4*T1^16*T2^10 - 
      4*T1^3*T2^11 - 44*T1^4*T2^11 + 222*T1^5*T2^11 - 214*T1^6*T2^11 - 
      74*T1^7*T2^11 + 263*T1^8*T2^11 - 39*T1^9*T2^11 - 203*T1^10*T2^11 + 
      191*T1^11*T2^11 - 67*T1^12*T2^11 + 11*T1^13*T2^11 + 6*T1^14*T2^11 - 
      4*T1^15*T2^11 + T1^16*T2^11 + 15*T1^4*T2^12 - 52*T1^5*T2^12 + 
      4*T1^6*T2^12 + 113*T1^7*T2^12 - 115*T1^8*T2^12 - 39*T1^9*T2^12 + 
      143*T1^10*T2^12 - 67*T1^11*T2^12 - 35*T1^12*T2^12 + 69*T1^13*T2^12 - 
      44*T1^14*T2^12 + 20*T1^15*T2^12 - 5*T1^16*T2^12 - 2*T1^5*T2^13 + 
      24*T1^6*T2^13 - 64*T1^7*T2^13 + 53*T1^8*T2^13 + 24*T1^9*T2^13 - 
      76*T1^10*T2^13 + 11*T1^11*T2^13 + 69*T1^12*T2^13 - 75*T1^13*T2^13 + 
      28*T1^14*T2^13 - 4*T1^15*T2^13 + T1^16*T2^13 - 4*T1^6*T2^14 + 
      16*T1^7*T2^14 - 16*T1^8*T2^14 - 12*T1^9*T2^14 + 28*T1^10*T2^14 + 
      6*T1^11*T2^14 - 44*T1^12*T2^14 + 28*T1^13*T2^14 + 8*T1^14*T2^14 - 
      16*T1^15*T2^14 + 4*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      16*T1^10*T2^15 - 4*T1^11*T2^15 + 20*T1^12*T2^15 - 4*T1^13*T2^15 - 
      16*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 4*T1^10*T2^16 + T1^11*T2^16 - 5*T1^12*T2^16 + 
      T1^13*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 94] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 326*T1^2 + 387*T1^3 - 326*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 800*T1^2*T2 - 562*T1^3*T2 + 68*T1^4*T2 + 
      350*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 326*T2^2 + 800*T1*T2^2 + 
      178*T1^2*T2^2 - 1311*T1^3*T2^2 + 2106*T1^4*T2^2 - 1951*T1^5*T2^2 + 
      1074*T1^6*T2^2 + 224*T1^7*T2^2 - 198*T1^8*T2^2 + 387*T2^3 - 
      562*T1*T2^3 - 1311*T1^2*T2^3 + 1972*T1^3*T2^3 - 1742*T1^4*T2^3 + 
      448*T1^5*T2^3 + 766*T1^6*T2^3 - 1551*T1^7*T2^3 + 176*T1^8*T2^3 + 
      159*T1^9*T2^3 - 326*T2^4 + 68*T1*T2^4 + 2106*T1^2*T2^4 - 
      1742*T1^3*T2^4 + 785*T1^4*T2^4 + 579*T1^5*T2^4 - 843*T1^6*T2^4 + 
      614*T1^7*T2^4 + 1076*T1^8*T2^4 - 400*T1^9*T2^4 - 70*T1^10*T2^4 + 
      184*T2^5 + 350*T1*T2^5 - 1951*T1^2*T2^5 + 448*T1^3*T2^5 + 
      579*T1^4*T2^5 - 920*T1^5*T2^5 - 90*T1^6*T2^5 + 611*T1^7*T2^5 - 
      1410*T1^8*T2^5 - 111*T1^9*T2^5 + 296*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 1074*T1^2*T2^6 + 766*T1^3*T2^6 - 
      843*T1^4*T2^6 - 90*T1^5*T2^6 + 1212*T1^6*T2^6 - 890*T1^7*T2^6 + 
      553*T1^8*T2^6 + 886*T1^9*T2^6 - 434*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 224*T1^2*T2^7 - 1551*T1^3*T2^7 + 
      614*T1^4*T2^7 + 611*T1^5*T2^7 - 890*T1^6*T2^7 - 60*T1^7*T2^7 + 
      643*T1^8*T2^7 - 1244*T1^9*T2^7 + 289*T1^10*T2^7 + 170*T1^11*T2^7 - 
      32*T1^12*T2^7 - 198*T1^2*T2^8 + 176*T1^3*T2^8 + 1076*T1^4*T2^8 - 
      1410*T1^5*T2^8 + 553*T1^6*T2^8 + 643*T1^7*T2^8 - 1075*T1^8*T2^8 + 
      946*T1^9*T2^8 + 46*T1^10*T2^8 - 292*T1^11*T2^8 + 58*T1^12*T2^8 + 
      159*T1^3*T2^9 - 400*T1^4*T2^9 - 111*T1^5*T2^9 + 886*T1^6*T2^9 - 
      1244*T1^7*T2^9 + 946*T1^8*T2^9 - 320*T1^9*T2^9 - 351*T1^10*T2^9 + 
      338*T1^11*T2^9 - 69*T1^12*T2^9 - 70*T1^4*T2^10 + 296*T1^5*T2^10 - 
      434*T1^6*T2^10 + 289*T1^7*T2^10 + 46*T1^8*T2^10 - 351*T1^9*T2^10 + 
      462*T1^10*T2^10 - 280*T1^11*T2^10 + 58*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 170*T1^7*T2^11 - 292*T1^8*T2^11 + 338*T1^9*T2^11 - 
      280*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 58*T1^8*T2^12 - 69*T1^9*T2^12 + 58*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 95] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-15 + 68*T1 - 166*T1^2 + 219*T1^3 - 166*T1^4 + 68*T1^5 - 15*T1^6 + 
     68*T2 - 276*T1*T2 + 606*T1^2*T2 - 636*T1^3*T2 + 282*T1^4*T2 + 
     48*T1^5*T2 - 78*T1^6*T2 + 32*T1^7*T2 - 166*T2^2 + 606*T1*T2^2 - 
     1173*T1^2*T2^2 + 801*T1^3*T2^2 + 343*T1^4*T2^2 - 959*T1^5*T2^2 + 
     587*T1^6*T2^2 - 186*T1^7*T2^2 + 10*T1^8*T2^2 + 219*T2^3 - 636*T1*T2^3 + 
     801*T1^2*T2^3 + 712*T1^3*T2^3 - 2571*T1^4*T2^3 + 2133*T1^5*T2^3 - 
     32*T1^6*T2^3 - 849*T1^7*T2^3 + 534*T1^8*T2^3 - 129*T1^9*T2^3 - 
     166*T2^4 + 282*T1*T2^4 + 343*T1^2*T2^4 - 2571*T1^3*T2^4 + 
     3662*T1^4*T2^4 - 388*T1^5*T2^4 - 3258*T1^6*T2^4 + 2765*T1^7*T2^4 - 
     483*T1^8*T2^4 - 258*T1^9*T2^4 + 186*T1^10*T2^4 + 68*T2^5 + 48*T1*T2^5 - 
     959*T1^2*T2^5 + 2133*T1^3*T2^5 - 388*T1^4*T2^5 - 6326*T1^5*T2^5 + 
     8788*T1^6*T2^5 - 3732*T1^7*T2^5 - 1307*T1^8*T2^5 + 1131*T1^9*T2^5 - 
     330*T1^10*T2^5 - 112*T1^11*T2^5 - 15*T2^6 - 78*T1*T2^6 + 587*T1^2*T2^6 - 
     32*T1^3*T2^6 - 3258*T1^4*T2^6 + 8788*T1^5*T2^6 - 5016*T1^6*T2^6 - 
     4308*T1^7*T2^6 + 7234*T1^8*T2^6 - 2312*T1^9*T2^6 + 135*T1^10*T2^6 + 
     354*T1^11*T2^6 + 33*T1^12*T2^6 + 32*T1*T2^7 - 186*T1^2*T2^7 - 
     849*T1^3*T2^7 + 2765*T1^4*T2^7 - 3732*T1^5*T2^7 - 4308*T1^6*T2^7 + 
     10806*T1^7*T2^7 - 7076*T1^8*T2^7 - 675*T1^9*T2^7 + 1241*T1^10*T2^7 - 
     564*T1^11*T2^7 - 148*T1^12*T2^7 + 10*T1^2*T2^8 + 534*T1^3*T2^8 - 
     483*T1^4*T2^8 - 1307*T1^5*T2^8 + 7234*T1^6*T2^8 - 7076*T1^7*T2^8 + 
     314*T1^8*T2^8 + 4029*T1^9*T2^8 - 1309*T1^10*T2^8 - 6*T1^11*T2^8 + 
     362*T1^12*T2^8 - 129*T1^3*T2^9 - 258*T1^4*T2^9 + 1131*T1^5*T2^9 - 
     2312*T1^6*T2^9 - 675*T1^7*T2^9 + 4029*T1^8*T2^9 - 3056*T1^9*T2^9 - 
     519*T1^10*T2^9 + 912*T1^11*T2^9 - 477*T1^12*T2^9 + 186*T1^4*T2^10 - 
     330*T1^5*T2^10 + 135*T1^6*T2^10 + 1241*T1^7*T2^10 - 1309*T1^8*T2^10 - 
     519*T1^9*T2^10 + 1895*T1^10*T2^10 - 1122*T1^11*T2^10 + 362*T1^12*T2^10 - 
     112*T1^5*T2^11 + 354*T1^6*T2^11 - 564*T1^7*T2^11 - 6*T1^8*T2^11 + 
     912*T1^9*T2^11 - 1122*T1^10*T2^11 + 552*T1^11*T2^11 - 148*T1^12*T2^11 + 
     33*T1^6*T2^12 - 148*T1^7*T2^12 + 362*T1^8*T2^12 - 477*T1^9*T2^12 + 
     362*T1^10*T2^12 - 148*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 96] -> 
  {((2 - 3*T + 2*T^2)*(1 - T^2 + T^4))/T^3, 
   -((49 - 72*T1 - 4*T1^2 + 79*T1^3 - 4*T1^4 - 72*T1^5 + 49*T1^6 - 72*T2 + 
      48*T1*T2 + 90*T1^2*T2 - 108*T1^3*T2 - 90*T1^4*T2 + 108*T1^5*T2 + 
      18*T1^6*T2 - 60*T1^7*T2 - 4*T2^2 + 90*T1*T2^2 - 130*T1^2*T2^2 - 
      5*T1^3*T2^2 + 134*T1^4*T2^2 - 5*T1^5*T2^2 - 130*T1^6*T2^2 + 
      90*T1^7*T2^2 - 4*T1^8*T2^2 + 79*T2^3 - 108*T1*T2^3 - 5*T1^2*T2^3 + 
      142*T1^3*T2^3 - 46*T1^4*T2^3 - 100*T1^5*T2^3 + 124*T1^6*T2^3 - 
      5*T1^7*T2^3 - 54*T1^8*T2^3 + 43*T1^9*T2^3 - 4*T2^4 - 90*T1*T2^4 + 
      134*T1^2*T2^4 - 46*T1^3*T2^4 - 79*T1^4*T2^4 + 27*T1^5*T2^4 + 
      29*T1^6*T2^4 - 82*T1^7*T2^4 + 80*T1^8*T2^4 - 54*T1^9*T2^4 - 
      4*T1^10*T2^4 - 72*T2^5 + 108*T1*T2^5 - 5*T1^2*T2^5 - 100*T1^3*T2^5 + 
      27*T1^4*T2^5 + 76*T1^5*T2^5 - 74*T1^6*T2^5 + 27*T1^7*T2^5 - 
      10*T1^8*T2^5 - 5*T1^9*T2^5 + 18*T1^10*T2^5 - 12*T1^11*T2^5 + 49*T2^6 + 
      18*T1*T2^6 - 130*T1^2*T2^6 + 124*T1^3*T2^6 + 29*T1^4*T2^6 - 
      74*T1^5*T2^6 + 24*T1^6*T2^6 + 70*T1^7*T2^6 - 79*T1^8*T2^6 + 
      52*T1^9*T2^6 - 22*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 
      60*T1*T2^7 + 90*T1^2*T2^7 - 5*T1^3*T2^7 - 82*T1^4*T2^7 + 27*T1^5*T2^7 + 
      70*T1^6*T2^7 - 80*T1^7*T2^7 + 27*T1^8*T2^7 + 8*T1^9*T2^7 - 
      5*T1^10*T2^7 - 4*T1^2*T2^8 - 54*T1^3*T2^8 + 80*T1^4*T2^8 - 
      10*T1^5*T2^8 - 79*T1^6*T2^8 + 27*T1^7*T2^8 + 29*T1^8*T2^8 - 
      46*T1^9*T2^8 + 26*T1^10*T2^8 - 18*T1^11*T2^8 - 4*T1^12*T2^8 + 
      43*T1^3*T2^9 - 54*T1^4*T2^9 - 5*T1^5*T2^9 + 52*T1^6*T2^9 + 
      8*T1^7*T2^9 - 46*T1^8*T2^9 + 34*T1^9*T2^9 - 5*T1^10*T2^9 + 
      7*T1^12*T2^9 - 4*T1^4*T2^10 + 18*T1^5*T2^10 - 22*T1^6*T2^10 - 
      5*T1^7*T2^10 + 26*T1^8*T2^10 - 5*T1^9*T2^10 - 22*T1^10*T2^10 + 
      18*T1^11*T2^10 - 4*T1^12*T2^10 - 12*T1^5*T2^11 + 18*T1^6*T2^11 - 
      18*T1^8*T2^11 + 18*T1^10*T2^11 - 12*T1^11*T2^11 + T1^6*T2^12 - 
      4*T1^8*T2^12 + 7*T1^9*T2^12 - 4*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 97] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 27*T1^2 + 33*T1^3 - 27*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 85*T1^2*T2 - 75*T1^3*T2 + 25*T1^4*T2 + 15*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 27*T2^2 + 85*T1*T2^2 + T1^2*T2^2 - 
      123*T1^3*T2^2 + 247*T1^4*T2^2 - 231*T1^5*T2^2 + 145*T1^6*T2^2 - 
      5*T1^7*T2^2 - 9*T1^8*T2^2 + 33*T2^3 - 75*T1*T2^3 - 123*T1^2*T2^3 + 
      290*T1^3*T2^3 - 324*T1^4*T2^3 + 114*T1^5*T2^3 + 56*T1^6*T2^3 - 
      150*T1^7*T2^3 + 45*T1^8*T2^3 - 27*T2^4 + 25*T1*T2^4 + 247*T1^2*T2^4 - 
      324*T1^3*T2^4 - 9*T1^4*T2^4 + 393*T1^5*T2^4 - 381*T1^6*T2^4 + 
      160*T1^7*T2^4 + 21*T1^8*T2^4 - 45*T1^9*T2^4 + 9*T1^10*T2^4 + 15*T2^5 + 
      15*T1*T2^5 - 231*T1^2*T2^5 + 114*T1^3*T2^5 + 393*T1^4*T2^5 - 
      343*T1^5*T2^5 - 103*T1^6*T2^5 + 402*T1^7*T2^5 - 232*T1^8*T2^5 + 
      120*T1^9*T2^5 + 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      145*T1^2*T2^6 + 56*T1^3*T2^6 - 381*T1^4*T2^6 - 103*T1^5*T2^6 + 
      408*T1^6*T2^6 - 305*T1^7*T2^6 - 131*T1^8*T2^6 + 80*T1^9*T2^6 - 
      139*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 - 
      5*T1^2*T2^7 - 150*T1^3*T2^7 + 160*T1^4*T2^7 + 402*T1^5*T2^7 - 
      305*T1^6*T2^7 - 65*T1^7*T2^7 + 411*T1^8*T2^7 - 186*T1^9*T2^7 + 
      201*T1^10*T2^7 - 15*T1^11*T2^7 - 15*T1^12*T2^7 - 9*T1^2*T2^8 + 
      45*T1^3*T2^8 + 21*T1^4*T2^8 - 232*T1^5*T2^8 - 131*T1^6*T2^8 + 
      411*T1^7*T2^8 - 503*T1^8*T2^8 + 252*T1^9*T2^8 - 205*T1^10*T2^8 - 
      25*T1^11*T2^8 + 27*T1^12*T2^8 - 45*T1^4*T2^9 + 120*T1^5*T2^9 + 
      80*T1^6*T2^9 - 186*T1^7*T2^9 + 252*T1^8*T2^9 - 154*T1^9*T2^9 + 
      93*T1^10*T2^9 + 75*T1^11*T2^9 - 33*T1^12*T2^9 + 9*T1^4*T2^10 + 
      5*T1^5*T2^10 - 139*T1^6*T2^10 + 201*T1^7*T2^10 - 205*T1^8*T2^10 + 
      93*T1^9*T2^10 + 5*T1^10*T2^10 - 85*T1^11*T2^10 + 27*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 15*T1^7*T2^11 - 25*T1^8*T2^11 + 
      75*T1^9*T2^11 - 85*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 27*T1^8*T2^12 - 33*T1^9*T2^12 + 
      27*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 98] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 17*T^4 - 17*T^5 + 14*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 84*T1^2 + 102*T1^3 - 102*T1^4 + 102*T1^5 - 84*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 324*T1^2*T2 - 192*T1^3*T2 + 
     102*T1^4*T2 - 102*T1^5*T2 - 6*T1^6*T2 + 204*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 84*T2^2 + 324*T1*T2^2 - 151*T1^2*T2^2 - 760*T1^3*T2^2 + 
     856*T1^4*T2^2 - 689*T1^5*T2^2 + 940*T1^6*T2^2 - 1068*T1^7*T2^2 + 
     213*T1^8*T2^2 + 156*T1^9*T2^2 - 56*T1^10*T2^2 + 102*T2^3 - 192*T1*T2^3 - 
     760*T1^2*T2^3 + 2191*T1^3*T2^3 - 1027*T1^4*T2^3 + 412*T1^5*T2^3 - 
     863*T1^6*T2^3 + 404*T1^7*T2^3 + 1429*T1^8*T2^3 - 886*T1^9*T2^3 + 
     30*T1^10*T2^3 + 51*T1^11*T2^3 - 102*T2^4 + 102*T1*T2^4 + 856*T1^2*T2^4 - 
     1027*T1^3*T2^4 - 2208*T1^4*T2^4 + 2379*T1^5*T2^4 - 1426*T1^6*T2^4 + 
     2243*T1^7*T2^4 - 3364*T1^8*T2^4 + 469*T1^9*T2^4 + 584*T1^10*T2^4 - 
     102*T1^11*T2^4 - 34*T1^12*T2^4 + 102*T2^5 - 102*T1*T2^5 - 
     689*T1^2*T2^5 + 412*T1^3*T2^5 + 2379*T1^4*T2^5 - 747*T1^5*T2^5 - 
     383*T1^6*T2^5 - 689*T1^7*T2^5 + 1123*T1^8*T2^5 + 1682*T1^9*T2^5 - 
     761*T1^10*T2^5 - 281*T1^11*T2^5 + 102*T1^12*T2^5 + 17*T1^13*T2^5 - 
     84*T2^6 - 6*T1*T2^6 + 940*T1^2*T2^6 - 863*T1^3*T2^6 - 1426*T1^4*T2^6 - 
     383*T1^5*T2^6 + 607*T1^6*T2^6 + 939*T1^7*T2^6 - 1361*T1^8*T2^6 - 
     519*T1^9*T2^6 - 746*T1^10*T2^6 + 565*T1^11*T2^6 + 144*T1^12*T2^6 - 
     102*T1^13*T2^6 + 36*T2^7 + 204*T1*T2^7 - 1068*T1^2*T2^7 + 
     404*T1^3*T2^7 + 2243*T1^4*T2^7 - 689*T1^5*T2^7 + 939*T1^6*T2^7 - 
     2379*T1^7*T2^7 + 1823*T1^8*T2^7 + 448*T1^9*T2^7 - 43*T1^10*T2^7 + 
     696*T1^11*T2^7 - 767*T1^12*T2^7 + 150*T1^13*T2^7 + 36*T1^14*T2^7 - 
     6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 + 213*T1^2*T2^8 + 1429*T1^3*T2^8 - 
     3364*T1^4*T2^8 + 1123*T1^5*T2^8 - 1361*T1^6*T2^8 + 1823*T1^7*T2^8 + 
     396*T1^8*T2^8 - 2307*T1^9*T2^8 + 1265*T1^10*T2^8 - 1155*T1^11*T2^8 + 
     608*T1^12*T2^8 + 191*T1^13*T2^8 - 187*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 + 30*T1*T2^9 + 156*T1^2*T2^9 - 886*T1^3*T2^9 + 
     469*T1^4*T2^9 + 1682*T1^5*T2^9 - 519*T1^6*T2^9 + 448*T1^7*T2^9 - 
     2307*T1^8*T2^9 + 1895*T1^9*T2^9 - 43*T1^10*T2^9 + 127*T1^11*T2^9 + 
     135*T1^12*T2^9 - 702*T1^13*T2^9 + 332*T1^14*T2^9 - 12*T1^15*T2^9 - 
     12*T1^16*T2^9 - 56*T1^2*T2^10 + 30*T1^3*T2^10 + 584*T1^4*T2^10 - 
     761*T1^5*T2^10 - 746*T1^6*T2^10 - 43*T1^7*T2^10 + 1265*T1^8*T2^10 - 
     43*T1^9*T2^10 - 703*T1^10*T2^10 - 179*T1^11*T2^10 - 66*T1^12*T2^10 + 
     667*T1^13*T2^10 - 212*T1^14*T2^10 - 66*T1^15*T2^10 + 28*T1^16*T2^10 + 
     51*T1^3*T2^11 - 102*T1^4*T2^11 - 281*T1^5*T2^11 + 565*T1^6*T2^11 + 
     696*T1^7*T2^11 - 1155*T1^8*T2^11 + 127*T1^9*T2^11 - 179*T1^10*T2^11 + 
     715*T1^11*T2^11 - T1^12*T2^11 - 608*T1^13*T2^11 + 127*T1^14*T2^11 + 
     102*T1^15*T2^11 - 34*T1^16*T2^11 - 34*T1^4*T2^12 + 102*T1^5*T2^12 + 
     144*T1^6*T2^12 - 767*T1^7*T2^12 + 608*T1^8*T2^12 + 135*T1^9*T2^12 - 
     66*T1^10*T2^12 - T1^11*T2^12 - 548*T1^12*T2^12 + 729*T1^13*T2^12 - 
     128*T1^14*T2^12 - 102*T1^15*T2^12 + 34*T1^16*T2^12 + 17*T1^5*T2^13 - 
     102*T1^6*T2^13 + 150*T1^7*T2^13 + 191*T1^8*T2^13 - 702*T1^9*T2^13 + 
     667*T1^10*T2^13 - 608*T1^11*T2^13 + 729*T1^12*T2^13 - 571*T1^13*T2^13 + 
     24*T1^14*T2^13 + 120*T1^15*T2^13 - 34*T1^16*T2^13 + 36*T1^7*T2^14 - 
     187*T1^8*T2^14 + 332*T1^9*T2^14 - 212*T1^10*T2^14 + 127*T1^11*T2^14 - 
     128*T1^12*T2^14 + 24*T1^13*T2^14 + 177*T1^14*T2^14 - 132*T1^15*T2^14 + 
     28*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 12*T1^9*T2^15 - 
     66*T1^10*T2^15 + 102*T1^11*T2^15 - 102*T1^12*T2^15 + 120*T1^13*T2^15 - 
     132*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 
     12*T1^9*T2^16 + 28*T1^10*T2^16 - 34*T1^11*T2^16 + 34*T1^12*T2^16 - 
     34*T1^13*T2^16 + 28*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 99] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 198*T1 - 527*T1^2 + 707*T1^3 - 527*T1^4 + 198*T1^5 - 33*T1^6 + 
     198*T2 - 1040*T1*T2 + 2275*T1^2*T2 - 1857*T1^3*T2 - 57*T1^4*T2 + 
     1219*T1^5*T2 - 704*T1^6*T2 + 150*T1^7*T2 - 527*T2^2 + 2275*T1*T2^2 - 
     3374*T1^2*T2^2 - 1344*T1^3*T2^2 + 6436*T1^4*T2^2 - 5312*T1^5*T2^2 + 
     466*T1^6*T2^2 + 739*T1^7*T2^2 - 271*T1^8*T2^2 + 707*T2^3 - 
     1857*T1*T2^3 - 1344*T1^2*T2^3 + 13480*T1^3*T2^3 - 15202*T1^4*T2^3 + 
     2246*T1^5*T2^3 + 8194*T1^6*T2^3 - 4224*T1^7*T2^3 + 471*T1^8*T2^3 + 
     191*T1^9*T2^3 - 527*T2^4 - 57*T1*T2^4 + 6436*T1^2*T2^4 - 
     15202*T1^3*T2^4 - 1810*T1^4*T2^4 + 26348*T1^5*T2^4 - 26122*T1^6*T2^4 + 
     4750*T1^7*T2^4 + 2244*T1^8*T2^4 - 1065*T1^9*T2^4 - 15*T1^10*T2^4 + 
     198*T2^5 + 1219*T1*T2^5 - 5312*T1^2*T2^5 + 2246*T1^3*T2^5 + 
     26348*T1^4*T2^5 - 39208*T1^5*T2^5 + 14984*T1^6*T2^5 + 13804*T1^7*T2^5 - 
     10194*T1^8*T2^5 + 1920*T1^9*T2^5 + 355*T1^10*T2^5 - 42*T1^11*T2^5 - 
     33*T2^6 - 704*T1*T2^6 + 466*T1^2*T2^6 + 8194*T1^3*T2^6 - 
     26122*T1^4*T2^6 + 14984*T1^5*T2^6 + 18516*T1^6*T2^6 - 31512*T1^7*T2^6 + 
     11318*T1^8*T2^6 + 1018*T1^9*T2^6 - 1582*T1^10*T2^6 + 160*T1^11*T2^6 + 
     15*T1^12*T2^6 + 150*T1*T2^7 + 739*T1^2*T2^7 - 4224*T1^3*T2^7 + 
     4750*T1^4*T2^7 + 13804*T1^5*T2^7 - 31512*T1^6*T2^7 + 22680*T1^7*T2^7 + 
     1260*T1^8*T2^7 - 7690*T1^9*T2^7 + 3008*T1^10*T2^7 - 125*T1^11*T2^7 - 
     90*T1^12*T2^7 - 271*T1^2*T2^8 + 471*T1^3*T2^8 + 2244*T1^4*T2^8 - 
     10194*T1^5*T2^8 + 11318*T1^6*T2^8 + 1260*T1^7*T2^8 - 12994*T1^8*T2^8 + 
     9758*T1^9*T2^8 - 1948*T1^10*T2^8 - 537*T1^11*T2^8 + 241*T1^12*T2^8 + 
     191*T1^3*T2^9 - 1065*T1^4*T2^9 + 1920*T1^5*T2^9 + 1018*T1^6*T2^9 - 
     7690*T1^7*T2^9 + 9758*T1^8*T2^9 - 4268*T1^9*T2^9 - 960*T1^10*T2^9 + 
     1263*T1^11*T2^9 - 325*T1^12*T2^9 - 15*T1^4*T2^10 + 355*T1^5*T2^10 - 
     1582*T1^6*T2^10 + 3008*T1^7*T2^10 - 1948*T1^8*T2^10 - 960*T1^9*T2^10 + 
     2258*T1^10*T2^10 - 1181*T1^11*T2^10 + 241*T1^12*T2^10 - 42*T1^5*T2^11 + 
     160*T1^6*T2^11 - 125*T1^7*T2^11 - 537*T1^8*T2^11 + 1263*T1^9*T2^11 - 
     1181*T1^10*T2^11 + 496*T1^11*T2^11 - 90*T1^12*T2^11 + 15*T1^6*T2^12 - 
     90*T1^7*T2^12 + 241*T1^8*T2^12 - 325*T1^9*T2^12 + 241*T1^10*T2^12 - 
     90*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 100] -> 
  {(5 - 15*T + 23*T^2 - 25*T^3 + 23*T^4 - 15*T^5 + 5*T^6)/T^3, 
   -((770 - 2280*T1 + 3459*T1^2 - 3736*T1^3 + 3459*T1^4 - 2280*T1^5 + 
      770*T1^6 - 2280*T2 + 4877*T1*T2 - 4678*T1^2*T2 + 2582*T1^3*T2 - 
      1018*T1^4*T2 - 1828*T1^5*T2 + 3377*T1^6*T2 - 1905*T1^7*T2 + 3459*T2^2 - 
      4678*T1*T2^2 + 1131*T1^2*T2^2 + 2077*T1^3*T2^2 - 2103*T1^4*T2^2 + 
      4377*T1^5*T2^2 - 3009*T1^6*T2^2 - 1228*T1^7*T2^2 + 2309*T1^8*T2^2 - 
      3736*T2^3 + 2582*T1*T2^3 + 2077*T1^2*T2^3 - 2770*T1^3*T2^3 + 
      135*T1^4*T2^3 - 2175*T1^5*T2^3 - 910*T1^6*T2^3 + 3802*T1^7*T2^3 - 
      1318*T1^8*T2^3 - 1861*T1^9*T2^3 + 3459*T2^4 - 1018*T1*T2^4 - 
      2103*T1^2*T2^4 + 135*T1^3*T2^4 + 2419*T1^4*T2^4 + 1155*T1^5*T2^4 + 
      1639*T1^6*T2^4 - 1865*T1^7*T2^4 - 1433*T1^8*T2^4 + 2132*T1^9*T2^4 + 
      1159*T1^10*T2^4 - 2280*T2^5 - 1828*T1*T2^5 + 4377*T1^2*T2^5 - 
      2175*T1^3*T2^5 + 1155*T1^4*T2^5 - 4363*T1^5*T2^5 - 133*T1^6*T2^5 + 
      580*T1^7*T2^5 + 755*T1^8*T2^5 + 352*T1^9*T2^5 - 2278*T1^10*T2^5 - 
      405*T1^11*T2^5 + 770*T2^6 + 3377*T1*T2^6 - 3009*T1^2*T2^6 - 
      910*T1^3*T2^6 + 1639*T1^4*T2^6 - 133*T1^5*T2^6 + 4872*T1^6*T2^6 - 
      3503*T1^7*T2^6 + 1645*T1^8*T2^6 - 1990*T1^9*T2^6 + 1751*T1^10*T2^6 + 
      1127*T1^11*T2^6 + 20*T1^12*T2^6 - 1905*T1*T2^7 - 1228*T1^2*T2^7 + 
      3802*T1^3*T2^7 - 1865*T1^4*T2^7 + 580*T1^5*T2^7 - 3503*T1^6*T2^7 + 
      727*T1^7*T2^7 + 5*T1^8*T2^7 + 1065*T1^9*T2^7 - 223*T1^10*T2^7 - 
      1678*T1^11*T2^7 - 30*T1^12*T2^7 + 2309*T1^2*T2^8 - 1318*T1^3*T2^8 - 
      1433*T1^4*T2^8 + 755*T1^5*T2^8 + 1645*T1^6*T2^8 + 5*T1^7*T2^8 + 
      865*T1^8*T2^8 - 1245*T1^9*T2^8 - 763*T1^10*T2^8 + 1832*T1^11*T2^8 + 
      9*T1^12*T2^8 - 1861*T1^3*T2^9 + 2132*T1^4*T2^9 + 352*T1^5*T2^9 - 
      1990*T1^6*T2^9 + 1065*T1^7*T2^9 - 1245*T1^8*T2^9 - 130*T1^9*T2^9 + 
      2077*T1^10*T2^9 - 1768*T1^11*T2^9 + 14*T1^12*T2^9 + 1159*T1^4*T2^10 - 
      2278*T1^5*T2^10 + 1751*T1^6*T2^10 - 223*T1^7*T2^10 - 763*T1^8*T2^10 + 
      2077*T1^9*T2^10 - 2389*T1^10*T2^10 + 1172*T1^11*T2^10 + 9*T1^12*T2^10 - 
      405*T1^5*T2^11 + 1127*T1^6*T2^11 - 1678*T1^7*T2^11 + 1832*T1^8*T2^11 - 
      1768*T1^9*T2^11 + 1172*T1^10*T2^11 - 373*T1^11*T2^11 - 30*T1^12*T2^11 + 
      20*T1^6*T2^12 - 30*T1^7*T2^12 + 9*T1^8*T2^12 + 14*T1^9*T2^12 + 
      9*T1^10*T2^12 - 30*T1^11*T2^12 + 20*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 101] -> 
  {-((1 - 12*T + 34*T^2 - 47*T^3 + 34*T^4 - 12*T^5 + T^6)/T^3), 
   -((-3 + 36*T1 - 102*T1^2 + 141*T1^3 - 102*T1^4 + 36*T1^5 - 3*T1^6 + 
      36*T2 - 410*T1*T2 + 941*T1^2*T2 - 879*T1^3*T2 + 93*T1^4*T2 + 
      389*T1^5*T2 - 254*T1^6*T2 + 24*T1^7*T2 - 102*T2^2 + 941*T1*T2^2 - 
      42*T1^2*T2^2 - 4625*T1^3*T2^2 + 8958*T1^4*T2^2 - 7005*T1^5*T2^2 + 
      2202*T1^6*T2^2 + 125*T1^7*T2^2 - 34*T1^8*T2^2 + 141*T2^3 - 
      879*T1*T2^3 - 4625*T1^2*T2^3 + 16309*T1^3*T2^3 - 19711*T1^4*T2^3 + 
      6851*T1^5*T2^3 + 4309*T1^6*T2^3 - 4115*T1^7*T2^3 + 405*T1^8*T2^3 - 
      102*T2^4 + 93*T1*T2^4 + 8958*T1^2*T2^4 - 19711*T1^3*T2^4 + 
      9953*T1^4*T2^4 + 17215*T1^5*T2^4 - 25039*T1^6*T2^4 + 11121*T1^7*T2^4 + 
      46*T1^8*T2^4 - 411*T1^9*T2^4 + 34*T1^10*T2^4 + 36*T2^5 + 389*T1*T2^5 - 
      7005*T1^2*T2^5 + 6851*T1^3*T2^5 + 17215*T1^4*T2^5 - 43076*T1^5*T2^5 + 
      30838*T1^6*T2^5 + 419*T1^7*T2^5 - 11171*T1^8*T2^5 + 4045*T1^9*T2^5 - 
      115*T1^10*T2^5 - 24*T1^11*T2^5 - 3*T2^6 - 254*T1*T2^6 + 
      2202*T1^2*T2^6 + 4309*T1^3*T2^6 - 25039*T1^4*T2^6 + 30838*T1^5*T2^6 + 
      240*T1^6*T2^6 - 31146*T1^7*T2^6 + 24389*T1^8*T2^6 - 4133*T1^9*T2^6 - 
      2194*T1^10*T2^6 + 250*T1^11*T2^6 + 3*T1^12*T2^6 + 24*T1*T2^7 + 
      125*T1^2*T2^7 - 4115*T1^3*T2^7 + 11121*T1^4*T2^7 + 419*T1^5*T2^7 - 
      31146*T1^6*T2^7 + 42768*T1^7*T2^7 - 16377*T1^8*T2^7 - 6901*T1^9*T2^7 + 
      6935*T1^10*T2^7 - 379*T1^11*T2^7 - 36*T1^12*T2^7 - 34*T1^2*T2^8 + 
      405*T1^3*T2^8 + 46*T1^4*T2^8 - 11171*T1^5*T2^8 + 24389*T1^6*T2^8 - 
      16377*T1^7*T2^8 - 10603*T1^8*T2^8 + 19661*T1^9*T2^8 - 8866*T1^10*T2^8 - 
      99*T1^11*T2^8 + 102*T1^12*T2^8 - 411*T1^4*T2^9 + 4045*T1^5*T2^9 - 
      4133*T1^6*T2^9 - 6901*T1^7*T2^9 + 19661*T1^8*T2^9 - 16133*T1^9*T2^9 + 
      4555*T1^10*T2^9 + 873*T1^11*T2^9 - 141*T1^12*T2^9 + 34*T1^4*T2^10 - 
      115*T1^5*T2^10 - 2194*T1^6*T2^10 + 6935*T1^7*T2^10 - 8866*T1^8*T2^10 + 
      4555*T1^9*T2^10 + 50*T1^10*T2^10 - 931*T1^11*T2^10 + 102*T1^12*T2^10 - 
      24*T1^5*T2^11 + 250*T1^6*T2^11 - 379*T1^7*T2^11 - 99*T1^8*T2^11 + 
      873*T1^9*T2^11 - 931*T1^10*T2^11 + 406*T1^11*T2^11 - 36*T1^12*T2^11 + 
      3*T1^6*T2^12 - 36*T1^7*T2^12 + 102*T1^8*T2^12 - 141*T1^9*T2^12 + 
      102*T1^10*T2^12 - 36*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 102] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((-5 + 20*T1 - 20*T1^2 + 15*T1^3 - 20*T1^4 + 20*T1^5 - 5*T1^6 + 20*T2 - 
      64*T1*T2 + 15*T1^2*T2 + 5*T1^3*T2 + 33*T1^4*T2 - 17*T1^5*T2 - 
      44*T1^6*T2 + 16*T1^7*T2 - 20*T2^2 + 15*T1*T2^2 + 160*T1^2*T2^2 - 
      134*T1^3*T2^2 + 40*T1^4*T2^2 - 126*T1^5*T2^2 + 184*T1^6*T2^2 - 
      17*T1^7*T2^2 - 12*T1^8*T2^2 + 15*T2^3 + 5*T1*T2^3 - 134*T1^2*T2^3 + 
      7*T1^3*T2^3 + 53*T1^4*T2^3 + 93*T1^5*T2^3 - 85*T1^6*T2^3 - 
      90*T1^7*T2^3 + 25*T1^8*T2^3 + 6*T1^9*T2^3 - 20*T2^4 + 33*T1*T2^4 + 
      40*T1^2*T2^4 + 53*T1^3*T2^4 - 98*T1^4*T2^4 + 14*T1^5*T2^4 - 
      26*T1^6*T2^4 + 77*T1^7*T2^4 + 8*T1^8*T2^4 - 7*T1^9*T2^4 - 
      4*T1^10*T2^4 + 20*T2^5 - 17*T1*T2^5 - 126*T1^2*T2^5 + 93*T1^3*T2^5 + 
      14*T1^4*T2^5 + 76*T1^5*T2^5 - 124*T1^6*T2^5 + 30*T1^7*T2^5 + 
      21*T1^8*T2^5 - 26*T1^9*T2^5 + 15*T1^10*T2^5 - 5*T2^6 - 44*T1*T2^6 + 
      184*T1^2*T2^6 - 85*T1^3*T2^6 - 26*T1^4*T2^6 - 124*T1^5*T2^6 + 
      96*T1^6*T2^6 + 76*T1^7*T2^6 - 98*T1^8*T2^6 + 25*T1^9*T2^6 - 
      16*T1^10*T2^6 - 4*T1^11*T2^6 + T1^12*T2^6 + 16*T1*T2^7 - 17*T1^2*T2^7 - 
      90*T1^3*T2^7 + 77*T1^4*T2^7 + 30*T1^5*T2^7 + 76*T1^6*T2^7 - 
      124*T1^7*T2^7 + 46*T1^8*T2^7 + 5*T1^9*T2^7 + 10*T1^10*T2^7 + 
      15*T1^11*T2^7 - 4*T1^12*T2^7 - 12*T1^2*T2^8 + 25*T1^3*T2^8 + 
      8*T1^4*T2^8 + 21*T1^5*T2^8 - 98*T1^6*T2^8 + 46*T1^7*T2^8 - 
      26*T1^8*T2^8 + 45*T1^9*T2^8 - 24*T1^10*T2^8 - 15*T1^11*T2^8 + 
      4*T1^12*T2^8 + 6*T1^3*T2^9 - 7*T1^4*T2^9 - 26*T1^5*T2^9 + 
      25*T1^6*T2^9 + 5*T1^7*T2^9 + 45*T1^8*T2^9 - 67*T1^9*T2^9 + 
      18*T1^10*T2^9 + 13*T1^11*T2^9 - 3*T1^12*T2^9 - 4*T1^4*T2^10 + 
      15*T1^5*T2^10 - 16*T1^6*T2^10 + 10*T1^7*T2^10 - 24*T1^8*T2^10 + 
      18*T1^9*T2^10 + 8*T1^10*T2^10 - 17*T1^11*T2^10 + 4*T1^12*T2^10 - 
      4*T1^6*T2^11 + 15*T1^7*T2^11 - 15*T1^8*T2^11 + 13*T1^9*T2^11 - 
      17*T1^10*T2^11 + 16*T1^11*T2^11 - 4*T1^12*T2^11 + T1^6*T2^12 - 
      4*T1^7*T2^12 + 4*T1^8*T2^12 - 3*T1^9*T2^12 + 4*T1^10*T2^12 - 
      4*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 103] -> 
  {-((1 - 4*T + 6*T^2 - 8*T^3 + 9*T^4 - 8*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 42*T1^2 + 56*T1^3 - 63*T1^4 + 56*T1^5 - 42*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 72*T1^2*T2 - 80*T1^3*T2 + 
      60*T1^4*T2 - 8*T1^5*T2 - 24*T1^6*T2 + 32*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 42*T2^2 + 72*T1*T2^2 + 100*T1^2*T2^2 - 120*T1^3*T2^2 + 
      209*T1^4*T2^2 - 286*T1^5*T2^2 + 245*T1^6*T2^2 - 168*T1^7*T2^2 + 
      160*T1^8*T2^2 + 24*T1^9*T2^2 - 30*T1^10*T2^2 + 56*T2^3 - 80*T1*T2^3 - 
      120*T1^2*T2^3 - 14*T1^3*T2^3 - 63*T1^4*T2^3 + 81*T1^5*T2^3 + 
      9*T1^6*T2^3 - 39*T1^7*T2^3 - 38*T1^8*T2^3 - 144*T1^9*T2^3 - 
      8*T1^10*T2^3 + 32*T1^11*T2^3 - 63*T2^4 + 60*T1*T2^4 + 209*T1^2*T2^4 - 
      63*T1^3*T2^4 + 300*T1^4*T2^4 - 354*T1^5*T2^4 + 308*T1^6*T2^4 - 
      306*T1^7*T2^4 + 332*T1^8*T2^4 - 31*T1^9*T2^4 + 169*T1^10*T2^4 - 
      20*T1^11*T2^4 - 27*T1^12*T2^4 + 56*T2^5 - 8*T1*T2^5 - 286*T1^2*T2^5 + 
      81*T1^3*T2^5 - 354*T1^4*T2^5 + 294*T1^5*T2^5 - 179*T1^6*T2^5 + 
      117*T1^7*T2^5 - 78*T1^8*T2^5 - 222*T1^9*T2^5 - 7*T1^10*T2^5 - 
      142*T1^11*T2^5 + 44*T1^12*T2^5 + 16*T1^13*T2^5 - 42*T2^6 - 24*T1*T2^6 + 
      245*T1^2*T2^6 + 9*T1^3*T2^6 + 308*T1^4*T2^6 - 179*T1^5*T2^6 + 
      90*T1^6*T2^6 - 96*T1^7*T2^6 + 82*T1^8*T2^6 + 125*T1^9*T2^6 + 
      148*T1^10*T2^6 + 57*T1^11*T2^6 + 57*T1^12*T2^6 - 40*T1^13*T2^6 - 
      6*T1^14*T2^6 + 28*T2^7 + 32*T1*T2^7 - 168*T1^2*T2^7 - 39*T1^3*T2^7 - 
      306*T1^4*T2^7 + 117*T1^5*T2^7 - 96*T1^6*T2^7 + 164*T1^7*T2^7 - 
      104*T1^8*T2^7 - 48*T1^9*T2^7 - 163*T1^10*T2^7 - 102*T1^11*T2^7 - 
      31*T1^12*T2^7 + 24*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 160*T1^2*T2^8 - 
      38*T1^3*T2^8 + 332*T1^4*T2^8 - 78*T1^5*T2^8 + 82*T1^6*T2^8 - 
      104*T1^7*T2^8 - 60*T1^8*T2^8 + 152*T1^9*T2^8 + 2*T1^10*T2^8 + 
      210*T1^11*T2^8 - 12*T1^12*T2^8 + 26*T1^13*T2^8 - 32*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 24*T1^2*T2^9 - 144*T1^3*T2^9 - 
      31*T1^4*T2^9 - 222*T1^5*T2^9 + 125*T1^6*T2^9 - 48*T1^7*T2^9 + 
      152*T1^8*T2^9 - 116*T1^9*T2^9 - 155*T1^11*T2^9 - 18*T1^12*T2^9 - 
      23*T1^13*T2^9 + 24*T1^14*T2^9 + 16*T1^15*T2^9 - 4*T1^16*T2^9 - 
      30*T1^2*T2^10 - 8*T1^3*T2^10 + 169*T1^4*T2^10 - 7*T1^5*T2^10 + 
      148*T1^6*T2^10 - 163*T1^7*T2^10 + 2*T1^8*T2^10 - 6*T1^10*T2^10 + 
      141*T1^11*T2^10 - 12*T1^12*T2^10 + 41*T1^13*T2^10 - 19*T1^14*T2^10 - 
      24*T1^15*T2^10 + 6*T1^16*T2^10 + 32*T1^3*T2^11 - 20*T1^4*T2^11 - 
      142*T1^5*T2^11 + 57*T1^6*T2^11 - 102*T1^7*T2^11 + 210*T1^8*T2^11 - 
      155*T1^9*T2^11 + 141*T1^10*T2^11 - 162*T1^11*T2^11 + 30*T1^12*T2^11 - 
      31*T1^13*T2^11 + 2*T1^14*T2^11 + 32*T1^15*T2^11 - 8*T1^16*T2^11 - 
      27*T1^4*T2^12 + 44*T1^5*T2^12 + 57*T1^6*T2^12 - 31*T1^7*T2^12 - 
      12*T1^8*T2^12 - 18*T1^9*T2^12 - 12*T1^10*T2^12 + 30*T1^11*T2^12 + 
      20*T1^12*T2^12 + T1^13*T2^12 + 17*T1^14*T2^12 - 36*T1^15*T2^12 + 
      9*T1^16*T2^12 + 16*T1^5*T2^13 - 40*T1^6*T2^13 + 26*T1^8*T2^13 - 
      23*T1^9*T2^13 + 41*T1^10*T2^13 - 31*T1^11*T2^13 + T1^12*T2^13 + 
      2*T1^13*T2^13 - 24*T1^14*T2^13 + 32*T1^15*T2^13 - 8*T1^16*T2^13 - 
      6*T1^6*T2^14 + 24*T1^7*T2^14 - 32*T1^8*T2^14 + 24*T1^9*T2^14 - 
      19*T1^10*T2^14 + 2*T1^11*T2^14 + 17*T1^12*T2^14 - 24*T1^13*T2^14 + 
      28*T1^14*T2^14 - 24*T1^15*T2^14 + 6*T1^16*T2^14 - 4*T1^8*T2^15 + 
      16*T1^9*T2^15 - 24*T1^10*T2^15 + 32*T1^11*T2^15 - 36*T1^12*T2^15 + 
      32*T1^13*T2^15 - 24*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 6*T1^10*T2^16 - 8*T1^11*T2^16 + 
      9*T1^12*T2^16 - 8*T1^13*T2^16 + 6*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 104] -> 
  {(1 - 4*T + 10*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 20*T1^2 + 28*T1^3 - 30*T1^4 + 28*T1^5 - 20*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 64*T1^2*T2 - 72*T1^3*T2 + 64*T1^4*T2 - 
     52*T1^5*T2 + 24*T1^6*T2 + 8*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 20*T2^2 + 
     64*T1*T2^2 - 140*T1^2*T2^2 + 134*T1^3*T2^2 - 103*T1^4*T2^2 + 
     72*T1^5*T2^2 - 3*T1^6*T2^2 - 66*T1^7*T2^2 + 40*T1^8*T2^2 - 
     16*T1^9*T2^2 + 28*T2^3 - 72*T1*T2^3 + 134*T1^2*T2^3 - 34*T1^3*T2^3 - 
     44*T1^4*T2^3 + 51*T1^5*T2^3 - 101*T1^6*T2^3 + 118*T1^7*T2^3 + 
     36*T1^8*T2^3 - 86*T1^9*T2^3 + 56*T1^10*T2^3 - 14*T1^11*T2^3 - 30*T2^4 + 
     64*T1*T2^4 - 103*T1^2*T2^4 - 44*T1^3*T2^4 + 60*T1^4*T2^4 + 
     72*T1^5*T2^4 - 42*T1^6*T2^4 + 32*T1^7*T2^4 - 220*T1^8*T2^4 + 
     124*T1^9*T2^4 + 49*T1^10*T2^4 - 64*T1^11*T2^4 + 30*T1^12*T2^4 + 
     28*T2^5 - 52*T1*T2^5 + 72*T1^2*T2^5 + 51*T1^3*T2^5 + 72*T1^4*T2^5 - 
     402*T1^5*T2^5 + 344*T1^6*T2^5 - 376*T1^7*T2^5 + 588*T1^8*T2^5 - 
     238*T1^9*T2^5 - 69*T1^10*T2^5 - 48*T1^11*T2^5 + 48*T1^12*T2^5 - 
     42*T1^13*T2^5 - 20*T2^6 + 24*T1*T2^6 - 3*T1^2*T2^6 - 101*T1^3*T2^6 - 
     42*T1^4*T2^6 + 344*T1^5*T2^6 - 39*T1^6*T2^6 + 121*T1^7*T2^6 - 
     239*T1^8*T2^6 - 360*T1^9*T2^6 + 422*T1^10*T2^6 + 99*T1^11*T2^6 + 
     T1^12*T2^6 + 8*T1^13*T2^6 + 40*T1^14*T2^6 + 8*T2^7 + 8*T1*T2^7 - 
     66*T1^2*T2^7 + 118*T1^3*T2^7 + 32*T1^4*T2^7 - 376*T1^5*T2^7 + 
     121*T1^6*T2^7 - 626*T1^7*T2^7 + 704*T1^8*T2^7 - 99*T1^9*T2^7 + 
     376*T1^10*T2^7 - 738*T1^11*T2^7 - 20*T1^12*T2^7 + 34*T1^13*T2^7 - 
     80*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 40*T1^2*T2^8 + 
     36*T1^3*T2^8 - 220*T1^4*T2^8 + 588*T1^5*T2^8 - 239*T1^6*T2^8 + 
     704*T1^7*T2^8 - 216*T1^8*T2^8 - 504*T1^9*T2^8 + 177*T1^10*T2^8 - 
     156*T1^11*T2^8 + 988*T1^12*T2^8 - 324*T1^13*T2^8 + 136*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 86*T1^3*T2^9 + 
     124*T1^4*T2^9 - 238*T1^5*T2^9 - 360*T1^6*T2^9 - 99*T1^7*T2^9 - 
     504*T1^8*T2^9 + 826*T1^9*T2^9 - 319*T1^10*T2^9 + 392*T1^11*T2^9 - 
     1008*T1^12*T2^9 - 14*T1^13*T2^9 + 14*T1^14*T2^9 - 104*T1^15*T2^9 - 
     24*T1^16*T2^9 + 56*T1^3*T2^10 + 49*T1^4*T2^10 - 69*T1^5*T2^10 + 
     422*T1^6*T2^10 + 376*T1^7*T2^10 + 177*T1^8*T2^10 - 319*T1^9*T2^10 - 
     23*T1^10*T2^10 - 328*T1^11*T2^10 + 886*T1^12*T2^10 + 131*T1^13*T2^10 + 
     53*T1^14*T2^10 + 40*T1^15*T2^10 + 60*T1^16*T2^10 - 14*T1^3*T2^11 - 
     64*T1^4*T2^11 - 48*T1^5*T2^11 + 99*T1^6*T2^11 - 738*T1^7*T2^11 - 
     156*T1^8*T2^11 + 392*T1^9*T2^11 - 328*T1^10*T2^11 + 834*T1^11*T2^11 - 
     1048*T1^12*T2^11 - 21*T1^13*T2^11 - 168*T1^14*T2^11 + 36*T1^15*T2^11 - 
     84*T1^16*T2^11 + 30*T1^4*T2^12 + 48*T1^5*T2^12 + T1^6*T2^12 - 
     20*T1^7*T2^12 + 988*T1^8*T2^12 - 1008*T1^9*T2^12 + 886*T1^10*T2^12 - 
     1048*T1^11*T2^12 + 708*T1^12*T2^12 + 148*T1^13*T2^12 + 153*T1^14*T2^12 - 
     80*T1^15*T2^12 + 90*T1^16*T2^12 - 42*T1^5*T2^13 + 8*T1^6*T2^13 + 
     34*T1^7*T2^13 - 324*T1^8*T2^13 - 14*T1^9*T2^13 + 131*T1^10*T2^13 - 
     21*T1^11*T2^13 + 148*T1^12*T2^13 - 254*T1^13*T2^13 - 186*T1^14*T2^13 + 
     136*T1^15*T2^13 - 84*T1^16*T2^13 + 40*T1^6*T2^14 - 80*T1^7*T2^14 + 
     136*T1^8*T2^14 + 14*T1^9*T2^14 + 53*T1^10*T2^14 - 168*T1^11*T2^14 + 
     153*T1^12*T2^14 - 186*T1^13*T2^14 + 316*T1^14*T2^14 - 160*T1^15*T2^14 + 
     60*T1^16*T2^14 - 20*T1^7*T2^15 + 56*T1^8*T2^15 - 104*T1^9*T2^15 + 
     40*T1^10*T2^15 + 36*T1^11*T2^15 - 80*T1^12*T2^15 + 136*T1^13*T2^15 - 
     160*T1^14*T2^15 + 76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 
     24*T1^9*T2^16 + 60*T1^10*T2^16 - 84*T1^11*T2^16 + 90*T1^12*T2^16 - 
     84*T1^13*T2^16 + 60*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 105] -> 
  {(1 - 4*T^2 + 8*T^3 - 9*T^4 + 8*T^5 - 4*T^6 + T^8)/T^4, 
   (-8 + 32*T1^2 - 64*T1^3 + 72*T1^4 - 64*T1^5 + 32*T1^6 - 8*T1^8 + 32*T2^2 - 
     102*T1^2*T2^2 + 243*T1^3*T2^2 - 358*T1^4*T2^2 + 416*T1^5*T2^2 - 
     318*T1^6*T2^2 + 179*T1^7*T2^2 - 62*T1^8*T2^2 + 24*T1^10*T2^2 - 64*T2^3 + 
     243*T1^2*T2^3 - 500*T1^3*T2^3 + 517*T1^4*T2^3 - 326*T1^5*T2^3 - 
     38*T1^6*T2^3 + 301*T1^7*T2^3 - 332*T1^8*T2^3 + 147*T1^9*T2^3 - 
     40*T1^11*T2^3 + 72*T2^4 - 358*T1^2*T2^4 + 517*T1^3*T2^4 - 
     217*T1^4*T2^4 - 157*T1^5*T2^4 + 383*T1^6*T2^4 - 445*T1^7*T2^4 + 
     143*T1^8*T2^4 + 229*T1^9*T2^4 - 214*T1^10*T2^4 + 36*T1^12*T2^4 - 
     64*T2^5 + 416*T1^2*T2^5 - 326*T1^3*T2^5 - 157*T1^4*T2^5 + 
     360*T1^5*T2^5 - 213*T1^6*T2^5 + 171*T1^7*T2^5 + 256*T1^8*T2^5 - 
     389*T1^9*T2^5 + 26*T1^10*T2^5 + 224*T1^11*T2^5 - 24*T1^13*T2^5 + 
     32*T2^6 - 318*T1^2*T2^6 - 38*T1^3*T2^6 + 383*T1^4*T2^6 - 213*T1^5*T2^6 - 
     184*T1^6*T2^6 + 120*T1^7*T2^6 - 424*T1^8*T2^6 + 171*T1^9*T2^6 + 
     239*T1^10*T2^6 - 230*T1^11*T2^6 - 150*T1^12*T2^6 + 8*T1^14*T2^6 + 
     179*T1^2*T2^7 + 301*T1^3*T2^7 - 445*T1^4*T2^7 + 171*T1^5*T2^7 + 
     120*T1^6*T2^7 + 94*T1^7*T2^7 + 166*T1^8*T2^7 + 120*T1^9*T2^7 - 
     213*T1^10*T2^7 + 11*T1^11*T2^7 + 229*T1^12*T2^7 + 83*T1^13*T2^7 - 
     8*T2^8 - 62*T1^2*T2^8 - 332*T1^3*T2^8 + 143*T1^4*T2^8 + 256*T1^5*T2^8 - 
     424*T1^6*T2^8 + 166*T1^7*T2^8 - 348*T1^8*T2^8 + 38*T1^9*T2^8 - 
     72*T1^10*T2^8 + 192*T1^11*T2^8 - 185*T1^12*T2^8 - 140*T1^13*T2^8 - 
     30*T1^14*T2^8 + 147*T1^3*T2^9 + 229*T1^4*T2^9 - 389*T1^5*T2^9 + 
     171*T1^6*T2^9 + 120*T1^7*T2^9 + 38*T1^8*T2^9 + 110*T1^9*T2^9 + 
     120*T1^10*T2^9 - 213*T1^11*T2^9 + 67*T1^12*T2^9 + 157*T1^13*T2^9 + 
     51*T1^14*T2^9 + 24*T1^2*T2^10 - 214*T1^4*T2^10 + 26*T1^5*T2^10 + 
     239*T1^6*T2^10 - 213*T1^7*T2^10 - 72*T1^8*T2^10 + 120*T1^9*T2^10 - 
     312*T1^10*T2^10 + 171*T1^11*T2^10 + 95*T1^12*T2^10 - 166*T1^13*T2^10 - 
     46*T1^14*T2^10 - 40*T1^3*T2^11 + 224*T1^5*T2^11 - 230*T1^6*T2^11 + 
     11*T1^7*T2^11 + 192*T1^8*T2^11 - 213*T1^9*T2^11 + 171*T1^10*T2^11 + 
     88*T1^11*T2^11 - 221*T1^12*T2^11 + 122*T1^13*T2^11 + 32*T1^14*T2^11 + 
     36*T1^4*T2^12 - 150*T1^6*T2^12 + 229*T1^7*T2^12 - 185*T1^8*T2^12 + 
     67*T1^9*T2^12 + 95*T1^10*T2^12 - 221*T1^11*T2^12 + 175*T1^12*T2^12 - 
     59*T1^13*T2^12 - 6*T1^14*T2^12 - 24*T1^5*T2^13 + 83*T1^7*T2^13 - 
     140*T1^8*T2^13 + 157*T1^9*T2^13 - 166*T1^10*T2^13 + 122*T1^11*T2^13 - 
     59*T1^12*T2^13 + 28*T1^13*T2^13 - 13*T1^14*T2^13 + 8*T1^6*T2^14 - 
     30*T1^8*T2^14 + 51*T1^9*T2^14 - 46*T1^10*T2^14 + 32*T1^11*T2^14 - 
     6*T1^12*T2^14 - 13*T1^13*T2^14 + 10*T1^14*T2^14)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 106] -> 
  {(1 - T + T^2)^4/T^4, (-4 + 16*T1 - 40*T1^2 + 64*T1^3 - 76*T1^4 + 64*T1^5 - 
     40*T1^6 + 16*T1^7 - 4*T1^8 + 16*T2 - 52*T1*T2 + 112*T1^2*T2 - 
     136*T1^3*T2 + 112*T1^4*T2 - 28*T1^5*T2 - 32*T1^6*T2 + 56*T1^7*T2 - 
     32*T1^8*T2 + 12*T1^9*T2 - 40*T2^2 + 112*T1*T2^2 - 224*T1^2*T2^2 + 
     230*T1^3*T2^2 - 180*T1^4*T2^2 + 38*T1^5*T2^2 - 10*T1^7*T2^2 - 
     44*T1^8*T2^2 + 32*T1^9*T2^2 - 20*T1^10*T2^2 + 64*T2^3 - 136*T1*T2^3 + 
     230*T1^2*T2^3 - 116*T1^3*T2^3 + 35*T1^4*T2^3 + 126*T1^5*T2^3 - 
     26*T1^6*T2^3 - 29*T1^7*T2^3 + 140*T1^8*T2^3 - 50*T1^9*T2^3 + 
     16*T1^10*T2^3 + 16*T1^11*T2^3 - 76*T2^4 + 112*T1*T2^4 - 180*T1^2*T2^4 + 
     35*T1^3*T2^4 - 150*T1^4*T2^4 + 140*T1^5*T2^4 - 432*T1^6*T2^4 + 
     380*T1^7*T2^4 - 318*T1^8*T2^4 - 29*T1^9*T2^4 + 68*T1^10*T2^4 - 
     64*T1^11*T2^4 + 64*T2^5 - 28*T1*T2^5 + 38*T1^2*T2^5 + 126*T1^3*T2^5 + 
     140*T1^4*T2^5 - 152*T1^5*T2^5 + 506*T1^6*T2^5 - 286*T1^7*T2^5 + 
     124*T1^8*T2^5 + 256*T1^9*T2^5 - 74*T1^10*T2^5 - 10*T1^11*T2^5 + 
     64*T1^12*T2^5 - 16*T1^13*T2^5 - 40*T2^6 - 32*T1*T2^6 - 26*T1^3*T2^6 - 
     432*T1^4*T2^6 + 506*T1^5*T2^6 - 842*T1^6*T2^6 + 346*T1^7*T2^6 + 
     46*T1^8*T2^6 - 406*T1^9*T2^6 + 32*T1^10*T2^6 + 54*T1^11*T2^6 - 
     44*T1^12*T2^6 - 16*T1^13*T2^6 + 20*T1^14*T2^6 + 16*T2^7 + 56*T1*T2^7 - 
     10*T1^2*T2^7 - 29*T1^3*T2^7 + 380*T1^4*T2^7 - 286*T1^5*T2^7 + 
     346*T1^6*T2^7 + 296*T1^7*T2^7 - 524*T1^8*T2^7 + 330*T1^9*T2^7 + 
     266*T1^10*T2^7 - 232*T1^11*T2^7 + 35*T1^12*T2^7 + 30*T1^13*T2^7 - 
     32*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 44*T1^2*T2^8 + 
     140*T1^3*T2^8 - 318*T1^4*T2^8 + 124*T1^5*T2^8 + 46*T1^6*T2^8 - 
     524*T1^7*T2^8 + 444*T1^8*T2^8 + 116*T1^9*T2^8 - 354*T1^10*T2^8 + 
     28*T1^11*T2^8 + 250*T1^12*T2^8 - 116*T1^13*T2^8 + 52*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 32*T1^2*T2^9 - 
     50*T1^3*T2^9 - 29*T1^4*T2^9 + 256*T1^5*T2^9 - 406*T1^6*T2^9 + 
     330*T1^7*T2^9 + 116*T1^8*T2^9 - 704*T1^9*T2^9 + 314*T1^10*T2^9 + 
     146*T1^11*T2^9 - 356*T1^12*T2^9 + 35*T1^13*T2^9 - 10*T1^14*T2^9 - 
     56*T1^15*T2^9 - 16*T1^16*T2^9 - 20*T1^2*T2^10 + 16*T1^3*T2^10 + 
     68*T1^4*T2^10 - 74*T1^5*T2^10 + 32*T1^6*T2^10 + 266*T1^7*T2^10 - 
     354*T1^8*T2^10 + 314*T1^9*T2^10 + 534*T1^10*T2^10 - 646*T1^11*T2^10 + 
     496*T1^12*T2^10 + 6*T1^13*T2^10 + 24*T1^14*T2^10 + 32*T1^15*T2^10 + 
     40*T1^16*T2^10 + 16*T1^3*T2^11 - 64*T1^4*T2^11 - 10*T1^5*T2^11 + 
     54*T1^6*T2^11 - 232*T1^7*T2^11 + 28*T1^8*T2^11 + 146*T1^9*T2^11 - 
     646*T1^10*T2^11 + 304*T1^11*T2^11 - 116*T1^12*T2^11 - 146*T1^13*T2^11 - 
     58*T1^14*T2^11 + 28*T1^15*T2^11 - 64*T1^16*T2^11 + 64*T1^5*T2^12 - 
     44*T1^6*T2^12 + 35*T1^7*T2^12 + 250*T1^8*T2^12 - 356*T1^9*T2^12 + 
     496*T1^10*T2^12 - 116*T1^11*T2^12 + 82*T1^12*T2^12 - 29*T1^13*T2^12 + 
     204*T1^14*T2^12 - 112*T1^15*T2^12 + 76*T1^16*T2^12 - 16*T1^5*T2^13 - 
     16*T1^6*T2^13 + 30*T1^7*T2^13 - 116*T1^8*T2^13 + 35*T1^9*T2^13 + 
     6*T1^10*T2^13 - 146*T1^11*T2^13 - 29*T1^12*T2^13 + 140*T1^13*T2^13 - 
     250*T1^14*T2^13 + 136*T1^15*T2^13 - 64*T1^16*T2^13 + 20*T1^6*T2^14 - 
     32*T1^7*T2^14 + 52*T1^8*T2^14 - 10*T1^9*T2^14 + 24*T1^10*T2^14 - 
     58*T1^11*T2^14 + 204*T1^12*T2^14 - 250*T1^13*T2^14 + 232*T1^14*T2^14 - 
     112*T1^15*T2^14 + 40*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     56*T1^9*T2^15 + 32*T1^10*T2^15 + 28*T1^11*T2^15 - 112*T1^12*T2^15 + 
     136*T1^13*T2^15 - 112*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 40*T1^10*T2^16 - 64*T1^11*T2^16 + 
     76*T1^12*T2^16 - 64*T1^13*T2^16 + 40*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 107] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 2*T^2 - T^3 + 2*T^4 - 3*T^5 + T^6))/T^4), 
   -((-7 + 28*T1 - 42*T1^2 + 42*T1^3 - 35*T1^4 + 42*T1^5 - 42*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 72*T1^2*T2 - 24*T1^3*T2 - 
      4*T1^4*T2 - 48*T1^5*T2 + 24*T1^6*T2 + 32*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 42*T2^2 + 72*T1*T2^2 + 100*T1^2*T2^2 - 202*T1^3*T2^2 + 
      184*T1^4*T2^2 - 48*T1^5*T2^2 + 172*T1^6*T2^2 - 226*T1^7*T2^2 + 
      160*T1^8*T2^2 + 24*T1^9*T2^2 - 30*T1^10*T2^2 + 42*T2^3 - 24*T1*T2^3 - 
      202*T1^2*T2^3 + 162*T1^3*T2^3 - 34*T1^4*T2^3 - 102*T1^5*T2^3 - 
      150*T1^6*T2^3 + 92*T1^7*T2^3 + 48*T1^8*T2^3 - 190*T1^9*T2^3 + 
      24*T1^10*T2^3 + 24*T1^11*T2^3 - 35*T2^4 - 4*T1*T2^4 + 184*T1^2*T2^4 - 
      34*T1^3*T2^4 - 44*T1^4*T2^4 + 76*T1^5*T2^4 + 200*T1^6*T2^4 - 
      12*T1^7*T2^4 - 60*T1^8*T2^4 + 86*T1^9*T2^4 + 112*T1^10*T2^4 - 
      36*T1^11*T2^4 - 15*T1^12*T2^4 + 42*T2^5 - 48*T1*T2^5 - 48*T1^2*T2^5 - 
      102*T1^3*T2^5 + 76*T1^4*T2^5 - 82*T1^5*T2^5 - 111*T1^6*T2^5 - 
      87*T1^7*T2^5 + 20*T1^8*T2^5 - 14*T1^9*T2^5 - 102*T1^10*T2^5 - 
      24*T1^11*T2^5 + 12*T1^12*T2^5 + 12*T1^13*T2^5 - 42*T2^6 + 24*T1*T2^6 + 
      172*T1^2*T2^6 - 150*T1^3*T2^6 + 200*T1^4*T2^6 - 111*T1^5*T2^6 + 
      245*T1^6*T2^6 - 111*T1^7*T2^6 + 173*T1^8*T2^6 - 63*T1^9*T2^6 + 
      104*T1^10*T2^6 - 30*T1^11*T2^6 + 64*T1^12*T2^6 - 24*T1^13*T2^6 - 
      6*T1^14*T2^6 + 28*T2^7 + 32*T1*T2^7 - 226*T1^2*T2^7 + 92*T1^3*T2^7 - 
      12*T1^4*T2^7 - 87*T1^5*T2^7 - 111*T1^6*T2^7 + 42*T1^7*T2^7 - 
      52*T1^8*T2^7 - 51*T1^9*T2^7 - 63*T1^10*T2^7 + 70*T1^11*T2^7 - 
      58*T1^12*T2^7 - 22*T1^13*T2^7 + 24*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 
      160*T1^2*T2^8 + 48*T1^3*T2^8 - 60*T1^4*T2^8 + 20*T1^5*T2^8 + 
      173*T1^6*T2^8 - 52*T1^7*T2^8 + 12*T1^8*T2^8 + 36*T1^9*T2^8 + 
      77*T1^10*T2^8 - 52*T1^11*T2^8 - 20*T1^12*T2^8 + 72*T1^13*T2^8 - 
      32*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 24*T1^2*T2^9 - 
      190*T1^3*T2^9 + 86*T1^4*T2^9 - 14*T1^5*T2^9 - 63*T1^6*T2^9 - 
      51*T1^7*T2^9 + 36*T1^8*T2^9 - 58*T1^9*T2^9 + 9*T1^10*T2^9 - 
      39*T1^11*T2^9 + 68*T1^12*T2^9 - 64*T1^13*T2^9 + 14*T1^14*T2^9 + 
      16*T1^15*T2^9 - 4*T1^16*T2^9 - 30*T1^2*T2^10 + 24*T1^3*T2^10 + 
      112*T1^4*T2^10 - 102*T1^5*T2^10 + 104*T1^6*T2^10 - 63*T1^7*T2^10 + 
      77*T1^8*T2^10 + 9*T1^9*T2^10 + 5*T1^10*T2^10 - 15*T1^11*T2^10 + 
      8*T1^12*T2^10 + 18*T1^13*T2^10 + 4*T1^14*T2^10 - 24*T1^15*T2^10 + 
      6*T1^16*T2^10 + 24*T1^3*T2^11 - 36*T1^4*T2^11 - 24*T1^5*T2^11 - 
      30*T1^6*T2^11 + 70*T1^7*T2^11 - 52*T1^8*T2^11 - 39*T1^9*T2^11 - 
      15*T1^10*T2^11 + 50*T1^11*T2^11 - 20*T1^12*T2^11 - 30*T1^13*T2^11 + 
      24*T1^15*T2^11 - 6*T1^16*T2^11 - 15*T1^4*T2^12 + 12*T1^5*T2^12 + 
      64*T1^6*T2^12 - 58*T1^7*T2^12 - 20*T1^8*T2^12 + 68*T1^9*T2^12 + 
      8*T1^10*T2^12 - 20*T1^11*T2^12 - 36*T1^12*T2^12 + 62*T1^13*T2^12 - 
      8*T1^14*T2^12 - 20*T1^15*T2^12 + 5*T1^16*T2^12 + 12*T1^5*T2^13 - 
      24*T1^6*T2^13 - 22*T1^7*T2^13 + 72*T1^8*T2^13 - 64*T1^9*T2^13 + 
      18*T1^10*T2^13 - 30*T1^11*T2^13 + 62*T1^12*T2^13 - 42*T1^13*T2^13 - 
      10*T1^14*T2^13 + 24*T1^15*T2^13 - 6*T1^16*T2^13 - 6*T1^6*T2^14 + 
      24*T1^7*T2^14 - 32*T1^8*T2^14 + 14*T1^9*T2^14 + 4*T1^10*T2^14 - 
      8*T1^12*T2^14 - 10*T1^13*T2^14 + 28*T1^14*T2^14 - 24*T1^15*T2^14 + 
      6*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 24*T1^10*T2^15 + 
      24*T1^11*T2^15 - 20*T1^12*T2^15 + 24*T1^13*T2^15 - 24*T1^14*T2^15 + 
      16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      6*T1^10*T2^16 - 6*T1^11*T2^16 + 5*T1^12*T2^16 - 6*T1^13*T2^16 + 
      6*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 108] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 306*T1^2 + 347*T1^3 - 306*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 710*T1^2*T2 - 454*T1^3*T2 + 122*T1^4*T2 + 
      278*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 306*T2^2 + 710*T1*T2^2 + 
      486*T1^2*T2^2 - 1501*T1^3*T2^2 + 1920*T1^4*T2^2 - 1981*T1^5*T2^2 + 
      1266*T1^6*T2^2 + 170*T1^7*T2^2 - 186*T1^8*T2^2 + 347*T2^3 - 
      454*T1*T2^3 - 1501*T1^2*T2^3 + 1779*T1^3*T2^3 - 1234*T1^4*T2^3 + 
      638*T1^5*T2^3 + 477*T1^6*T2^3 - 1546*T1^7*T2^3 + 194*T1^8*T2^3 + 
      143*T1^9*T2^3 - 306*T2^4 + 122*T1*T2^4 + 1920*T1^2*T2^4 - 
      1234*T1^3*T2^4 + 289*T1^4*T2^4 + 153*T1^5*T2^4 - 599*T1^6*T2^4 + 
      704*T1^7*T2^4 + 966*T1^8*T2^4 - 346*T1^9*T2^4 - 66*T1^10*T2^4 + 
      184*T2^5 + 278*T1*T2^5 - 1981*T1^2*T2^5 + 638*T1^3*T2^5 + 
      153*T1^4*T2^5 + 140*T1^5*T2^5 - 430*T1^6*T2^5 + 378*T1^7*T2^5 - 
      1102*T1^8*T2^5 - 196*T1^9*T2^5 + 278*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 1266*T1^2*T2^6 + 477*T1^3*T2^6 - 
      599*T1^4*T2^6 - 430*T1^5*T2^6 + 612*T1^6*T2^6 - 34*T1^7*T2^6 + 
      103*T1^8*T2^6 + 879*T1^9*T2^6 - 390*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 170*T1^2*T2^7 - 1546*T1^3*T2^7 + 
      704*T1^4*T2^7 + 378*T1^5*T2^7 - 34*T1^6*T2^7 - 604*T1^7*T2^7 + 
      603*T1^8*T2^7 - 1036*T1^9*T2^7 + 239*T1^10*T2^7 + 170*T1^11*T2^7 - 
      32*T1^12*T2^7 - 186*T1^2*T2^8 + 194*T1^3*T2^8 + 966*T1^4*T2^8 - 
      1102*T1^5*T2^8 + 103*T1^6*T2^8 + 603*T1^7*T2^8 - 785*T1^8*T2^8 + 
      836*T1^9*T2^8 + 12*T1^10*T2^8 - 274*T1^11*T2^8 + 54*T1^12*T2^8 + 
      143*T1^3*T2^9 - 346*T1^4*T2^9 - 196*T1^5*T2^9 + 879*T1^6*T2^9 - 
      1036*T1^7*T2^9 + 836*T1^8*T2^9 - 423*T1^9*T2^9 - 241*T1^10*T2^9 + 
      302*T1^11*T2^9 - 61*T1^12*T2^9 - 66*T1^4*T2^10 + 278*T1^5*T2^10 - 
      390*T1^6*T2^10 + 239*T1^7*T2^10 + 12*T1^8*T2^10 - 241*T1^9*T2^10 + 
      390*T1^10*T2^10 - 262*T1^11*T2^10 + 54*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 170*T1^7*T2^11 - 274*T1^8*T2^11 + 302*T1^9*T2^11 - 
      262*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 54*T1^8*T2^12 - 61*T1^9*T2^12 + 54*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 109] -> 
  {(2 - 9*T + 23*T^2 - 31*T^3 + 23*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-15 + 68*T1 - 174*T1^2 + 235*T1^3 - 174*T1^4 + 68*T1^5 - 15*T1^6 + 
     68*T2 - 276*T1*T2 + 642*T1^2*T2 - 690*T1^3*T2 + 282*T1^4*T2 + 
     66*T1^5*T2 - 78*T1^6*T2 + 32*T1^7*T2 - 174*T2^2 + 642*T1*T2^2 - 
     1367*T1^2*T2^2 + 1068*T1^3*T2^2 + 255*T1^4*T2^2 - 956*T1^5*T2^2 + 
     565*T1^6*T2^2 - 186*T1^7*T2^2 + 10*T1^8*T2^2 + 235*T2^3 - 690*T1*T2^3 + 
     1068*T1^2*T2^3 + 543*T1^3*T2^3 - 2862*T1^4*T2^3 + 2364*T1^5*T2^3 + 
     57*T1^6*T2^3 - 933*T1^7*T2^3 + 570*T1^8*T2^3 - 137*T1^9*T2^3 - 
     174*T2^4 + 282*T1*T2^4 + 255*T1^2*T2^4 - 2862*T1^3*T2^4 + 
     4358*T1^4*T2^4 - 314*T1^5*T2^4 - 4054*T1^6*T2^4 + 3152*T1^7*T2^4 - 
     535*T1^8*T2^4 - 258*T1^9*T2^4 + 194*T1^10*T2^4 + 68*T2^5 + 66*T1*T2^5 - 
     956*T1^2*T2^5 + 2364*T1^3*T2^5 - 314*T1^4*T2^5 - 8224*T1^5*T2^5 + 
     11396*T1^6*T2^5 - 4707*T1^7*T2^5 - 1286*T1^8*T2^5 + 1137*T1^9*T2^5 - 
     366*T1^10*T2^5 - 112*T1^11*T2^5 - 15*T2^6 - 78*T1*T2^6 + 565*T1^2*T2^6 + 
     57*T1^3*T2^6 - 4054*T1^4*T2^6 + 11396*T1^5*T2^6 - 7044*T1^6*T2^6 - 
     5292*T1^7*T2^6 + 8672*T1^8*T2^6 - 2757*T1^9*T2^6 + 317*T1^10*T2^6 + 
     354*T1^11*T2^6 + 33*T1^12*T2^6 + 32*T1*T2^7 - 186*T1^2*T2^7 - 
     933*T1^3*T2^7 + 3152*T1^4*T2^7 - 4707*T1^5*T2^7 - 5292*T1^6*T2^7 + 
     14328*T1^7*T2^7 - 9100*T1^8*T2^7 - 498*T1^9*T2^7 + 1160*T1^10*T2^7 - 
     618*T1^11*T2^7 - 148*T1^12*T2^7 + 10*T1^2*T2^8 + 570*T1^3*T2^8 - 
     535*T1^4*T2^8 - 1286*T1^5*T2^8 + 8672*T1^6*T2^8 - 9100*T1^7*T2^8 + 
     260*T1^8*T2^8 + 4728*T1^9*T2^8 - 1325*T1^10*T2^8 + 30*T1^11*T2^8 + 
     378*T1^12*T2^8 - 137*T1^3*T2^9 - 258*T1^4*T2^9 + 1137*T1^5*T2^9 - 
     2757*T1^6*T2^9 - 498*T1^7*T2^9 + 4728*T1^8*T2^9 - 3243*T1^9*T2^9 - 
     864*T1^10*T2^9 + 1002*T1^11*T2^9 - 509*T1^12*T2^9 + 194*T1^4*T2^10 - 
     366*T1^5*T2^10 + 317*T1^6*T2^10 + 1160*T1^7*T2^10 - 1325*T1^8*T2^10 - 
     864*T1^9*T2^10 + 2249*T1^10*T2^10 - 1194*T1^11*T2^10 + 378*T1^12*T2^10 - 
     112*T1^5*T2^11 + 354*T1^6*T2^11 - 618*T1^7*T2^11 + 30*T1^8*T2^11 + 
     1002*T1^9*T2^11 - 1194*T1^10*T2^11 + 552*T1^11*T2^11 - 148*T1^12*T2^11 + 
     33*T1^6*T2^12 - 148*T1^7*T2^12 + 378*T1^8*T2^12 - 509*T1^9*T2^12 + 
     378*T1^10*T2^12 - 148*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 110] -> 
  {((2 - 3*T + 2*T^2)*(1 + T - 3*T^2 + T^3 + T^4))/T^3, 
   -((49 - 24*T1 - 172*T1^2 + 319*T1^3 - 172*T1^4 - 24*T1^5 + 49*T1^6 - 
      24*T2 - 8*T1*T2 + 94*T1^2*T2 - 86*T1^3*T2 - 46*T1^4*T2 + 82*T1^5*T2 - 
      14*T1^6*T2 - 20*T1^7*T2 - 172*T2^2 + 94*T1*T2^2 + 471*T1^2*T2^2 - 
      1034*T1^3*T2^2 + 977*T1^4*T2^2 - 642*T1^5*T2^2 + 219*T1^6*T2^2 + 
      66*T1^7*T2^2 - 116*T1^8*T2^2 + 319*T2^3 - 86*T1*T2^3 - 1034*T1^2*T2^3 + 
      1739*T1^3*T2^3 - 792*T1^4*T2^3 - 464*T1^5*T2^3 + 923*T1^6*T2^3 - 
      467*T1^7*T2^3 - 22*T1^8*T2^3 + 163*T1^9*T2^3 - 172*T2^4 - 46*T1*T2^4 + 
      977*T1^2*T2^4 - 792*T1^3*T2^4 - 1389*T1^4*T2^4 + 2831*T1^5*T2^4 - 
      1529*T1^6*T2^4 - 298*T1^7*T2^4 + 559*T1^8*T2^4 - 50*T1^9*T2^4 - 
      60*T1^10*T2^4 - 24*T2^5 + 82*T1*T2^5 - 642*T1^2*T2^5 - 464*T1^3*T2^5 + 
      2831*T1^4*T2^5 - 2700*T1^5*T2^5 - 784*T1^6*T2^5 + 1984*T1^7*T2^5 - 
      460*T1^8*T2^5 - 509*T1^9*T2^5 + 30*T1^10*T2^5 - 4*T1^11*T2^5 + 
      49*T2^6 - 14*T1*T2^6 + 219*T1^2*T2^6 + 923*T1^3*T2^6 - 1529*T1^4*T2^6 - 
      784*T1^5*T2^6 + 3708*T1^6*T2^6 - 2096*T1^7*T2^6 - 531*T1^8*T2^6 + 
      737*T1^9*T2^6 + 195*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 
      20*T1*T2^7 + 66*T1^2*T2^7 - 467*T1^3*T2^7 - 298*T1^4*T2^7 + 
      1984*T1^5*T2^7 - 2096*T1^6*T2^7 - 180*T1^7*T2^7 + 1137*T1^8*T2^7 - 
      294*T1^9*T2^7 - 334*T1^10*T2^7 + 14*T1^11*T2^7 - 116*T1^2*T2^8 - 
      22*T1^3*T2^8 + 559*T1^4*T2^8 - 460*T1^5*T2^8 - 531*T1^6*T2^8 + 
      1137*T1^7*T2^8 - 671*T1^8*T2^8 + 34*T1^9*T2^8 + 141*T1^10*T2^8 - 
      26*T1^11*T2^8 - 4*T1^12*T2^8 + 163*T1^3*T2^9 - 50*T1^4*T2^9 - 
      509*T1^5*T2^9 + 737*T1^6*T2^9 - 294*T1^7*T2^9 + 34*T1^8*T2^9 - 
      79*T1^9*T2^9 + 58*T1^10*T2^9 + 14*T1^11*T2^9 + 7*T1^12*T2^9 - 
      60*T1^4*T2^10 + 30*T1^5*T2^10 + 195*T1^6*T2^10 - 334*T1^7*T2^10 + 
      141*T1^8*T2^10 + 58*T1^9*T2^10 - 57*T1^10*T2^10 + 2*T1^11*T2^10 - 
      4*T1^12*T2^10 - 4*T1^5*T2^11 + 2*T1^6*T2^11 + 14*T1^7*T2^11 - 
      26*T1^8*T2^11 + 14*T1^9*T2^11 + 2*T1^10*T2^11 - 4*T1^11*T2^11 + 
      T1^6*T2^12 - 4*T1^8*T2^12 + 7*T1^9*T2^12 - 4*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 111] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-31 + 140*T1 - 326*T1^2 + 419*T1^3 - 326*T1^4 + 140*T1^5 - 31*T1^6 + 
     140*T2 - 528*T1*T2 + 1002*T1^2*T2 - 798*T1^3*T2 + 66*T1^4*T2 + 
     462*T1^5*T2 - 330*T1^6*T2 + 104*T1^7*T2 - 326*T2^2 + 1002*T1*T2^2 - 
     1431*T1^2*T2^2 + 86*T1^3*T2^2 + 1397*T1^4*T2^2 - 1426*T1^5*T2^2 + 
     165*T1^6*T2^2 + 246*T1^7*T2^2 - 158*T1^8*T2^2 + 419*T2^3 - 798*T1*T2^3 + 
     86*T1^2*T2^3 + 2851*T1^3*T2^3 - 3390*T1^4*T2^3 + 822*T1^5*T2^3 + 
     1879*T1^6*T2^3 - 1237*T1^7*T2^3 + 282*T1^8*T2^3 + 95*T1^9*T2^3 - 
     326*T2^4 + 66*T1*T2^4 + 1397*T1^2*T2^4 - 3390*T1^3*T2^4 + 
     123*T1^4*T2^4 + 4687*T1^5*T2^4 - 5433*T1^6*T2^4 + 1308*T1^7*T2^4 + 
     551*T1^8*T2^4 - 474*T1^9*T2^4 + 10*T1^10*T2^4 + 140*T2^5 + 462*T1*T2^5 - 
     1426*T1^2*T2^5 + 822*T1^3*T2^5 + 4687*T1^4*T2^5 - 7534*T1^5*T2^5 + 
     3662*T1^6*T2^5 + 2230*T1^7*T2^5 - 2418*T1^8*T2^5 + 653*T1^9*T2^5 + 
     138*T1^10*T2^5 - 40*T1^11*T2^5 - 31*T2^6 - 330*T1*T2^6 + 165*T1^2*T2^6 + 
     1879*T1^3*T2^6 - 5433*T1^4*T2^6 + 3662*T1^5*T2^6 + 2904*T1^6*T2^6 - 
     6274*T1^7*T2^6 + 3081*T1^8*T2^6 + 97*T1^9*T2^6 - 483*T1^10*T2^6 + 
     102*T1^11*T2^6 + 17*T1^12*T2^6 + 104*T1*T2^7 + 246*T1^2*T2^7 - 
     1237*T1^3*T2^7 + 1308*T1^4*T2^7 + 2230*T1^5*T2^7 - 6274*T1^6*T2^7 + 
     4922*T1^7*T2^7 - 227*T1^8*T2^7 - 1932*T1^9*T2^7 + 842*T1^10*T2^7 - 
     78*T1^11*T2^7 - 76*T1^12*T2^7 - 158*T1^2*T2^8 + 282*T1^3*T2^8 + 
     551*T1^4*T2^8 - 2418*T1^5*T2^8 + 3081*T1^6*T2^8 - 227*T1^7*T2^8 - 
     2475*T1^8*T2^8 + 2280*T1^9*T2^8 - 295*T1^10*T2^8 - 258*T1^11*T2^8 + 
     178*T1^12*T2^8 + 95*T1^3*T2^9 - 474*T1^4*T2^9 + 653*T1^5*T2^9 + 
     97*T1^6*T2^9 - 1932*T1^7*T2^9 + 2280*T1^8*T2^9 - 875*T1^9*T2^9 - 
     670*T1^10*T2^9 + 606*T1^11*T2^9 - 229*T1^12*T2^9 + 10*T1^4*T2^10 + 
     138*T1^5*T2^10 - 483*T1^6*T2^10 + 842*T1^7*T2^10 - 295*T1^8*T2^10 - 
     670*T1^9*T2^10 + 1113*T1^10*T2^10 - 618*T1^11*T2^10 + 178*T1^12*T2^10 - 
     40*T1^5*T2^11 + 102*T1^6*T2^11 - 78*T1^7*T2^11 - 258*T1^8*T2^11 + 
     606*T1^9*T2^11 - 618*T1^10*T2^11 + 300*T1^11*T2^11 - 76*T1^12*T2^11 + 
     17*T1^6*T2^12 - 76*T1^7*T2^12 + 178*T1^8*T2^12 - 229*T1^9*T2^12 + 
     178*T1^10*T2^12 - 76*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 112] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((-41 + 184*T1 - 346*T1^2 + 427*T1^3 - 346*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 890*T1^2*T2 - 670*T1^3*T2 + 14*T1^4*T2 + 
      422*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 346*T2^2 + 890*T1*T2^2 - 
      160*T1^2*T2^2 - 1063*T1^3*T2^2 + 2236*T1^4*T2^2 - 1879*T1^5*T2^2 + 
      860*T1^6*T2^2 + 278*T1^7*T2^2 - 210*T1^8*T2^2 + 427*T2^3 - 
      670*T1*T2^3 - 1063*T1^2*T2^3 + 2149*T1^3*T2^3 - 2288*T1^4*T2^3 + 
      250*T1^5*T2^3 + 1069*T1^6*T2^3 - 1522*T1^7*T2^3 + 158*T1^8*T2^3 + 
      175*T1^9*T2^3 - 346*T2^4 + 14*T1*T2^4 + 2236*T1^2*T2^4 - 
      2288*T1^3*T2^4 + 1204*T1^4*T2^4 + 1306*T1^5*T2^4 - 1292*T1^6*T2^4 + 
      526*T1^7*T2^4 + 1146*T1^8*T2^4 - 454*T1^9*T2^4 - 74*T1^10*T2^4 + 
      184*T2^5 + 422*T1*T2^5 - 1879*T1^2*T2^5 + 250*T1^3*T2^5 + 
      1306*T1^4*T2^5 - 2364*T1^5*T2^5 + 258*T1^6*T2^5 + 1051*T1^7*T2^5 - 
      1736*T1^8*T2^5 + 8*T1^9*T2^5 + 314*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 860*T1^2*T2^6 + 1069*T1^3*T2^6 - 
      1292*T1^4*T2^6 + 258*T1^5*T2^6 + 2148*T1^6*T2^6 - 2034*T1^7*T2^6 + 
      982*T1^8*T2^6 + 871*T1^9*T2^6 - 492*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 278*T1^2*T2^7 - 1522*T1^3*T2^7 + 
      526*T1^4*T2^7 + 1051*T1^5*T2^7 - 2034*T1^6*T2^7 + 588*T1^7*T2^7 + 
      796*T1^8*T2^7 - 1460*T1^9*T2^7 + 365*T1^10*T2^7 + 170*T1^11*T2^7 - 
      32*T1^12*T2^7 - 210*T1^2*T2^8 + 158*T1^3*T2^8 + 1146*T1^4*T2^8 - 
      1736*T1^5*T2^8 + 982*T1^6*T2^8 + 796*T1^7*T2^8 - 1514*T1^8*T2^8 + 
      1078*T1^9*T2^8 + 56*T1^10*T2^8 - 310*T1^11*T2^8 + 62*T1^12*T2^8 + 
      175*T1^3*T2^9 - 454*T1^4*T2^9 + 8*T1^5*T2^9 + 871*T1^6*T2^9 - 
      1460*T1^7*T2^9 + 1078*T1^8*T2^9 - 209*T1^9*T2^9 - 451*T1^10*T2^9 + 
      374*T1^11*T2^9 - 77*T1^12*T2^9 - 74*T1^4*T2^10 + 314*T1^5*T2^10 - 
      492*T1^6*T2^10 + 365*T1^7*T2^10 + 56*T1^8*T2^10 - 451*T1^9*T2^10 + 
      528*T1^10*T2^10 - 298*T1^11*T2^10 + 62*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 170*T1^7*T2^11 - 310*T1^8*T2^11 + 374*T1^9*T2^11 - 
      298*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 62*T1^8*T2^12 - 77*T1^9*T2^12 + 62*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 113] -> 
  {(1 - 3*T + 7*T^2 - 10*T^3 + 11*T^4 - 10*T^5 + 7*T^6 - 3*T^7 + T^8)/T^4, 
   (-2 + 6*T1 - 14*T1^2 + 20*T1^3 - 22*T1^4 + 20*T1^5 - 14*T1^6 + 6*T1^7 - 
     2*T1^8 + 6*T2 - 15*T1*T2 + 33*T1^2*T2 - 39*T1^3*T2 + 36*T1^4*T2 - 
     27*T1^5*T2 + 12*T1^6*T2 + 3*T1^7*T2 - 3*T1^8*T2 + 3*T1^9*T2 - 14*T2^2 + 
     33*T1*T2^2 - 63*T1^2*T2^2 + 63*T1^3*T2^2 - 49*T1^4*T2^2 + 27*T1^5*T2^2 + 
     7*T1^6*T2^2 - 35*T1^7*T2^2 + 21*T1^8*T2^2 - 9*T1^9*T2^2 + 20*T2^3 - 
     39*T1*T2^3 + 63*T1^2*T2^3 - 55*T1^3*T2^3 + 44*T1^4*T2^3 - 44*T1^5*T2^3 + 
     25*T1^6*T2^3 - 19*T1^7*T2^3 + 65*T1^8*T2^3 - 63*T1^9*T2^3 + 
     30*T1^10*T2^3 - 10*T1^11*T2^3 - 22*T2^4 + 36*T1*T2^4 - 49*T1^2*T2^4 + 
     44*T1^3*T2^4 - 26*T1^4*T2^4 + 39*T1^5*T2^4 + 6*T1^6*T2^4 - 
     29*T1^7*T2^4 - 6*T1^8*T2^4 - 36*T1^9*T2^4 + 79*T1^10*T2^4 - 
     36*T1^11*T2^4 + 22*T1^12*T2^4 + 20*T2^5 - 27*T1*T2^5 + 27*T1^2*T2^5 - 
     44*T1^3*T2^5 + 39*T1^4*T2^5 - 139*T1^5*T2^5 + 125*T1^6*T2^5 - 
     162*T1^7*T2^5 + 215*T1^8*T2^5 - 122*T1^9*T2^5 + 43*T1^10*T2^5 - 
     96*T1^11*T2^5 + 24*T1^12*T2^5 - 30*T1^13*T2^5 - 14*T2^6 + 12*T1*T2^6 + 
     7*T1^2*T2^6 + 25*T1^3*T2^6 + 6*T1^4*T2^6 + 125*T1^5*T2^6 - 
     21*T1^6*T2^6 + 33*T1^7*T2^6 + 7*T1^8*T2^6 - 173*T1^9*T2^6 + 
     192*T1^10*T2^6 - 17*T1^11*T2^6 + 95*T1^12*T2^6 + 6*T1^13*T2^6 + 
     28*T1^14*T2^6 + 6*T2^7 + 3*T1*T2^7 - 35*T1^2*T2^7 - 19*T1^3*T2^7 - 
     29*T1^4*T2^7 - 162*T1^5*T2^7 + 33*T1^6*T2^7 - 164*T1^7*T2^7 + 
     130*T1^8*T2^7 - 29*T1^9*T2^7 + 103*T1^10*T2^7 - 240*T1^11*T2^7 - 
     24*T1^12*T2^7 - 77*T1^13*T2^7 - 39*T1^14*T2^7 - 15*T1^15*T2^7 - 2*T2^8 - 
     3*T1*T2^8 + 21*T1^2*T2^8 + 65*T1^3*T2^8 - 6*T1^4*T2^8 + 215*T1^5*T2^8 + 
     7*T1^6*T2^8 + 130*T1^7*T2^8 + 36*T1^8*T2^8 - 142*T1^9*T2^8 + 
     83*T1^10*T2^8 - 31*T1^11*T2^8 + 314*T1^12*T2^8 - 25*T1^13*T2^8 + 
     111*T1^14*T2^8 + 27*T1^15*T2^8 + 6*T1^16*T2^8 + 3*T1*T2^9 - 
     9*T1^2*T2^9 - 63*T1^3*T2^9 - 36*T1^4*T2^9 - 122*T1^5*T2^9 - 
     173*T1^6*T2^9 - 29*T1^7*T2^9 - 142*T1^8*T2^9 + 152*T1^9*T2^9 - 
     91*T1^10*T2^9 + 92*T1^11*T2^9 - 333*T1^12*T2^9 - 41*T1^13*T2^9 - 
     105*T1^14*T2^9 - 51*T1^15*T2^9 - 18*T1^16*T2^9 + 30*T1^3*T2^10 + 
     79*T1^4*T2^10 + 43*T1^5*T2^10 + 192*T1^6*T2^10 + 103*T1^7*T2^10 + 
     83*T1^8*T2^10 - 91*T1^9*T2^10 + 111*T1^10*T2^10 - 195*T1^11*T2^10 + 
     378*T1^12*T2^10 + T1^13*T2^10 + 167*T1^14*T2^10 + 24*T1^15*T2^10 + 
     42*T1^16*T2^10 - 10*T1^3*T2^11 - 36*T1^4*T2^11 - 96*T1^5*T2^11 - 
     17*T1^6*T2^11 - 240*T1^7*T2^11 - 31*T1^8*T2^11 + 92*T1^9*T2^11 - 
     195*T1^10*T2^11 + 323*T1^11*T2^11 - 401*T1^12*T2^11 + 70*T1^13*T2^11 - 
     219*T1^14*T2^11 + 15*T1^15*T2^11 - 60*T1^16*T2^11 + 22*T1^4*T2^12 + 
     24*T1^5*T2^12 + 95*T1^6*T2^12 - 24*T1^7*T2^12 + 314*T1^8*T2^12 - 
     333*T1^9*T2^12 + 378*T1^10*T2^12 - 401*T1^11*T2^12 + 334*T1^12*T2^12 - 
     104*T1^13*T2^12 + 223*T1^14*T2^12 - 48*T1^15*T2^12 + 66*T1^16*T2^12 - 
     30*T1^5*T2^13 + 6*T1^6*T2^13 - 77*T1^7*T2^13 - 25*T1^8*T2^13 - 
     41*T1^9*T2^13 + T1^10*T2^13 + 70*T1^11*T2^13 - 104*T1^12*T2^13 + 
     95*T1^13*T2^13 - 203*T1^14*T2^13 + 75*T1^15*T2^13 - 60*T1^16*T2^13 + 
     28*T1^6*T2^14 - 39*T1^7*T2^14 + 111*T1^8*T2^14 - 105*T1^9*T2^14 + 
     167*T1^10*T2^14 - 219*T1^11*T2^14 + 223*T1^12*T2^14 - 203*T1^13*T2^14 + 
     195*T1^14*T2^14 - 81*T1^15*T2^14 + 42*T1^16*T2^14 - 15*T1^7*T2^15 + 
     27*T1^8*T2^15 - 51*T1^9*T2^15 + 24*T1^10*T2^15 + 15*T1^11*T2^15 - 
     48*T1^12*T2^15 + 75*T1^13*T2^15 - 81*T1^14*T2^15 + 39*T1^15*T2^15 - 
     18*T1^16*T2^15 + 6*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 
     60*T1^11*T2^16 + 66*T1^12*T2^16 - 60*T1^13*T2^16 + 42*T1^14*T2^16 - 
     18*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 114] -> 
  {-((1 - 5*T + 9*T^2 - 12*T^3 + 13*T^4 - 12*T^5 + 9*T^6 - 5*T^7 + T^8)/T^4), 
   -((-7 + 35*T1 - 63*T1^2 + 84*T1^3 - 91*T1^4 + 84*T1^5 - 63*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 163*T1^2*T2 - 149*T1^3*T2 + 
      95*T1^4*T2 - 30*T1^5*T2 - 44*T1^6*T2 + 93*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 63*T2^2 + 163*T1*T2^2 + 149*T1^2*T2^2 - 381*T1^3*T2^2 + 
      593*T1^4*T2^2 - 675*T1^5*T2^2 + 665*T1^6*T2^2 - 507*T1^7*T2^2 + 
      293*T1^8*T2^2 + 73*T1^9*T2^2 - 45*T1^10*T2^2 + 84*T2^3 - 149*T1*T2^3 - 
      381*T1^2*T2^3 + 363*T1^3*T2^3 - 385*T1^4*T2^3 + 246*T1^5*T2^3 - 
      123*T1^6*T2^3 - 88*T1^7*T2^3 + 201*T1^8*T2^3 - 435*T1^9*T2^3 - 
      14*T1^10*T2^3 + 48*T1^11*T2^3 - 91*T2^4 + 95*T1*T2^4 + 593*T1^2*T2^4 - 
      385*T1^3*T2^4 + 622*T1^4*T2^4 - 611*T1^5*T2^4 + 650*T1^6*T2^4 - 
      495*T1^7*T2^4 + 406*T1^8*T2^4 - 49*T1^9*T2^4 + 461*T1^10*T2^4 - 
      45*T1^11*T2^4 - 39*T1^12*T2^4 + 84*T2^5 - 30*T1*T2^5 - 675*T1^2*T2^5 + 
      246*T1^3*T2^5 - 611*T1^4*T2^5 + 453*T1^5*T2^5 - 411*T1^6*T2^5 + 
      144*T1^7*T2^5 - 9*T1^8*T2^5 - 368*T1^9*T2^5 - 141*T1^10*T2^5 - 
      348*T1^11*T2^5 + 75*T1^12*T2^5 + 24*T1^13*T2^5 - 63*T2^6 - 44*T1*T2^6 + 
      665*T1^2*T2^6 - 123*T1^3*T2^6 + 650*T1^4*T2^6 - 411*T1^5*T2^6 + 
      400*T1^6*T2^6 - 160*T1^7*T2^6 + 88*T1^8*T2^6 + 183*T1^9*T2^6 + 
      344*T1^10*T2^6 + 219*T1^11*T2^6 + 185*T1^12*T2^6 - 74*T1^13*T2^6 - 
      9*T1^14*T2^6 + 35*T2^7 + 93*T1*T2^7 - 507*T1^2*T2^7 - 88*T1^3*T2^7 - 
      495*T1^4*T2^7 + 144*T1^5*T2^7 - 160*T1^6*T2^7 + 10*T1^7*T2^7 - 
      26*T1^8*T2^7 - 106*T1^9*T2^7 - 333*T1^10*T2^7 - 230*T1^11*T2^7 - 
      229*T1^12*T2^7 - 21*T1^13*T2^7 + 43*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 
      293*T1^2*T2^8 + 201*T1^3*T2^8 + 406*T1^4*T2^8 - 9*T1^5*T2^8 + 
      88*T1^6*T2^8 - 26*T1^7*T2^8 + 48*T1^8*T2^8 + 18*T1^9*T2^8 + 
      232*T1^10*T2^8 + 261*T1^11*T2^8 + 186*T1^12*T2^8 + 123*T1^13*T2^8 - 
      61*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 73*T1^2*T2^9 - 
      435*T1^3*T2^9 - 49*T1^4*T2^9 - 368*T1^5*T2^9 + 183*T1^6*T2^9 - 
      106*T1^7*T2^9 + 18*T1^8*T2^9 - 18*T1^9*T2^9 - 52*T1^10*T2^9 - 
      294*T1^11*T2^9 - 103*T1^12*T2^9 - 190*T1^13*T2^9 + 51*T1^14*T2^9 + 
      23*T1^15*T2^9 - 5*T1^16*T2^9 - 45*T1^2*T2^10 - 14*T1^3*T2^10 + 
      461*T1^4*T2^10 - 141*T1^5*T2^10 + 344*T1^6*T2^10 - 333*T1^7*T2^10 + 
      232*T1^8*T2^10 - 52*T1^9*T2^10 - 80*T1^10*T2^10 + 261*T1^11*T2^10 + 
      38*T1^12*T2^10 + 201*T1^13*T2^10 - 19*T1^14*T2^10 - 44*T1^15*T2^10 + 
      9*T1^16*T2^10 + 48*T1^3*T2^11 - 45*T1^4*T2^11 - 348*T1^5*T2^11 + 
      219*T1^6*T2^11 - 230*T1^7*T2^11 + 261*T1^8*T2^11 - 294*T1^9*T2^11 + 
      261*T1^10*T2^11 - 201*T1^11*T2^11 + 13*T1^12*T2^11 - 168*T1^13*T2^11 - 
      21*T1^14*T2^11 + 60*T1^15*T2^11 - 12*T1^16*T2^11 - 39*T1^4*T2^12 + 
      75*T1^5*T2^12 + 185*T1^6*T2^12 - 229*T1^7*T2^12 + 186*T1^8*T2^12 - 
      103*T1^9*T2^12 + 38*T1^10*T2^12 + 13*T1^11*T2^12 - 30*T1^12*T2^12 + 
      107*T1^13*T2^12 + 53*T1^14*T2^12 - 65*T1^15*T2^12 + 13*T1^16*T2^12 + 
      24*T1^5*T2^13 - 74*T1^6*T2^13 - 21*T1^7*T2^13 + 123*T1^8*T2^13 - 
      190*T1^9*T2^13 + 201*T1^10*T2^13 - 168*T1^11*T2^13 + 107*T1^12*T2^13 - 
      39*T1^13*T2^13 - 75*T1^14*T2^13 + 61*T1^15*T2^13 - 12*T1^16*T2^13 - 
      9*T1^6*T2^14 + 43*T1^7*T2^14 - 61*T1^8*T2^14 + 51*T1^9*T2^14 - 
      19*T1^10*T2^14 - 21*T1^11*T2^14 + 53*T1^12*T2^14 - 75*T1^13*T2^14 + 
      83*T1^14*T2^14 - 47*T1^15*T2^14 + 9*T1^16*T2^14 - 5*T1^8*T2^15 + 
      23*T1^9*T2^15 - 44*T1^10*T2^15 + 60*T1^11*T2^15 - 65*T1^12*T2^15 + 
      61*T1^13*T2^15 - 47*T1^14*T2^15 + 25*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 9*T1^10*T2^16 - 12*T1^11*T2^16 + 
      13*T1^12*T2^16 - 12*T1^13*T2^16 + 9*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 115] -> 
  {(1 - T - T^2 + 4*T^3 - 5*T^4 + 4*T^5 - T^6 - T^7 + T^8)/T^4, 
   (-2 + 2*T1 + 2*T1^2 - 8*T1^3 + 10*T1^4 - 8*T1^5 + 2*T1^6 + 2*T1^7 - 
     2*T1^8 + 2*T2 - 3*T1*T2 + 4*T1^3*T2 - 5*T1^4*T2 + 4*T1^5*T2 - T1^6*T2 - 
     T1^8*T2 + T1^9*T2 + 2*T2^2 - 2*T1^2*T2^2 + 10*T1^3*T2^2 - 14*T1^4*T2^2 + 
     14*T1^5*T2^2 - 6*T1^6*T2^2 + 2*T1^8*T2^2 + 2*T1^9*T2^2 - 8*T2^3 + 
     4*T1*T2^3 + 10*T1^2*T2^3 - 37*T1^3*T2^3 + 47*T1^4*T2^3 - 41*T1^5*T2^3 + 
     10*T1^6*T2^3 + 4*T1^7*T2^3 - T1^8*T2^3 - 4*T1^9*T2^3 - 7*T1^10*T2^3 + 
     4*T1^11*T2^3 + 10*T2^4 - 5*T1*T2^4 - 14*T1^2*T2^4 + 47*T1^3*T2^4 - 
     50*T1^4*T2^4 + 26*T1^5*T2^4 + 28*T1^6*T2^4 - 42*T1^7*T2^4 + 
     30*T1^8*T2^4 - 17*T1^9*T2^4 + 14*T1^10*T2^4 + 7*T1^11*T2^4 - 
     10*T1^12*T2^4 - 8*T2^5 + 4*T1*T2^5 + 14*T1^2*T2^5 - 41*T1^3*T2^5 + 
     26*T1^4*T2^5 + 15*T1^5*T2^5 - 64*T1^6*T2^5 + 47*T1^7*T2^5 - 
     5*T1^8*T2^5 - 29*T1^9*T2^5 + 32*T1^10*T2^5 - 25*T1^11*T2^5 - 
     T1^12*T2^5 + 12*T1^13*T2^5 + 2*T2^6 - T1*T2^6 - 6*T1^2*T2^6 + 
     10*T1^3*T2^6 + 28*T1^4*T2^6 - 64*T1^5*T2^6 + 62*T1^6*T2^6 - 
     46*T1^8*T2^6 + 58*T1^9*T2^6 - 26*T1^10*T2^6 - 8*T1^11*T2^6 + 
     26*T1^12*T2^6 - 11*T1^13*T2^6 - 4*T1^14*T2^6 + 2*T2^7 + 4*T1^3*T2^7 - 
     42*T1^4*T2^7 + 47*T1^5*T2^7 - 66*T1^7*T2^7 + 68*T1^8*T2^7 - 
     30*T1^9*T2^7 - 42*T1^10*T2^7 + 65*T1^11*T2^7 - 37*T1^12*T2^7 - 
     10*T1^13*T2^7 + 12*T1^14*T2^7 - 5*T1^15*T2^7 - 2*T2^8 - T1*T2^8 + 
     2*T1^2*T2^8 - T1^3*T2^8 + 30*T1^4*T2^8 - 5*T1^5*T2^8 - 46*T1^6*T2^8 + 
     68*T1^7*T2^8 - 60*T1^9*T2^8 + 106*T1^10*T2^8 - 51*T1^11*T2^8 - 
     22*T1^12*T2^8 + 53*T1^13*T2^8 - 8*T1^14*T2^8 - 3*T1^15*T2^8 + 
     6*T1^16*T2^8 + T1*T2^9 + 2*T1^2*T2^9 - 4*T1^3*T2^9 - 17*T1^4*T2^9 - 
     29*T1^5*T2^9 + 58*T1^6*T2^9 - 30*T1^7*T2^9 - 60*T1^8*T2^9 + 
     74*T1^9*T2^9 - 60*T1^10*T2^9 - 31*T1^11*T2^9 + 78*T1^12*T2^9 - 
     58*T1^13*T2^9 - 14*T1^14*T2^9 + 14*T1^15*T2^9 - 6*T1^16*T2^9 - 
     7*T1^3*T2^10 + 14*T1^4*T2^10 + 32*T1^5*T2^10 - 26*T1^6*T2^10 - 
     42*T1^7*T2^10 + 106*T1^8*T2^10 - 60*T1^9*T2^10 - 2*T1^10*T2^10 + 
     80*T1^11*T2^10 - 80*T1^12*T2^10 + 14*T1^13*T2^10 + 46*T1^14*T2^10 - 
     17*T1^15*T2^10 - 6*T1^16*T2^10 + 4*T1^3*T2^11 + 7*T1^4*T2^11 - 
     25*T1^5*T2^11 - 8*T1^6*T2^11 + 65*T1^7*T2^11 - 51*T1^8*T2^11 - 
     31*T1^9*T2^11 + 80*T1^10*T2^11 - 71*T1^11*T2^11 + 10*T1^12*T2^11 + 
     65*T1^13*T2^11 - 64*T1^14*T2^11 + 2*T1^15*T2^11 + 24*T1^16*T2^11 - 
     10*T1^4*T2^12 - T1^5*T2^12 + 26*T1^6*T2^12 - 37*T1^7*T2^12 - 
     22*T1^8*T2^12 + 78*T1^9*T2^12 - 80*T1^10*T2^12 + 10*T1^11*T2^12 + 
     58*T1^12*T2^12 - 101*T1^13*T2^12 + 54*T1^14*T2^12 + 11*T1^15*T2^12 - 
     30*T1^16*T2^12 + 12*T1^5*T2^13 - 11*T1^6*T2^13 - 10*T1^7*T2^13 + 
     53*T1^8*T2^13 - 58*T1^9*T2^13 + 14*T1^10*T2^13 + 65*T1^11*T2^13 - 
     101*T1^12*T2^13 + 89*T1^13*T2^13 - 24*T1^14*T2^13 - 22*T1^15*T2^13 + 
     24*T1^16*T2^13 - 4*T1^6*T2^14 + 12*T1^7*T2^14 - 8*T1^8*T2^14 - 
     14*T1^9*T2^14 + 46*T1^10*T2^14 - 64*T1^11*T2^14 + 54*T1^12*T2^14 - 
     24*T1^13*T2^14 - 4*T1^14*T2^14 + 14*T1^15*T2^14 - 6*T1^16*T2^14 - 
     5*T1^7*T2^15 - 3*T1^8*T2^15 + 14*T1^9*T2^15 - 17*T1^10*T2^15 + 
     2*T1^11*T2^15 + 11*T1^12*T2^15 - 22*T1^13*T2^15 + 14*T1^14*T2^15 - 
     T1^15*T2^15 - 6*T1^16*T2^15 + 6*T1^8*T2^16 - 6*T1^9*T2^16 - 
     6*T1^10*T2^16 + 24*T1^11*T2^16 - 30*T1^12*T2^16 + 24*T1^13*T2^16 - 
     6*T1^14*T2^16 - 6*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 116] -> 
  {(2 - 7*T + 16*T^2 - 21*T^3 + 16*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-15 + 53*T1 - 121*T1^2 + 159*T1^3 - 121*T1^4 + 53*T1^5 - 15*T1^6 + 
     53*T2 - 162*T1*T2 + 338*T1^2*T2 - 358*T1^3*T2 + 160*T1^4*T2 + 
     16*T1^5*T2 - 36*T1^6*T2 + 25*T1^7*T2 - 121*T2^2 + 338*T1*T2^2 - 
     582*T1^2*T2^2 + 374*T1^3*T2^2 + 230*T1^4*T2^2 - 522*T1^5*T2^2 + 
     314*T1^6*T2^2 - 110*T1^7*T2^2 + 7*T1^8*T2^2 + 159*T2^3 - 358*T1*T2^3 + 
     374*T1^2*T2^3 + 150*T1^3*T2^3 - 807*T1^4*T2^3 + 439*T1^5*T2^3 + 
     472*T1^6*T2^3 - 634*T1^7*T2^3 + 300*T1^8*T2^3 - 93*T1^9*T2^3 - 
     121*T2^4 + 160*T1*T2^4 + 230*T1^2*T2^4 - 807*T1^3*T2^4 + 
     1163*T1^4*T2^4 + 61*T1^5*T2^4 - 1161*T1^6*T2^4 + 621*T1^7*T2^4 + 
     220*T1^8*T2^4 - 148*T1^9*T2^4 + 135*T1^10*T2^4 + 53*T2^5 + 16*T1*T2^5 - 
     522*T1^2*T2^5 + 439*T1^3*T2^5 + 61*T1^4*T2^5 - 2348*T1^5*T2^5 + 
     2986*T1^6*T2^5 - 1059*T1^7*T2^5 - 443*T1^8*T2^5 + 38*T1^9*T2^5 - 
     166*T1^10*T2^5 - 87*T1^11*T2^5 - 15*T2^6 - 36*T1*T2^6 + 314*T1^2*T2^6 + 
     472*T1^3*T2^6 - 1161*T1^4*T2^6 + 2986*T1^5*T2^6 - 1596*T1^6*T2^6 - 
     1606*T1^7*T2^6 + 2275*T1^8*T2^6 - 480*T1^9*T2^6 + 350*T1^10*T2^6 + 
     188*T1^11*T2^6 + 33*T1^12*T2^6 + 25*T1*T2^7 - 110*T1^2*T2^7 - 
     634*T1^3*T2^7 + 621*T1^4*T2^7 - 1059*T1^5*T2^7 - 1606*T1^6*T2^7 + 
     3728*T1^7*T2^7 - 2179*T1^8*T2^7 - 261*T1^9*T2^7 - 74*T1^10*T2^7 - 
     292*T1^11*T2^7 - 115*T1^12*T2^7 + 7*T1^2*T2^8 + 300*T1^3*T2^8 + 
     220*T1^4*T2^8 - 443*T1^5*T2^8 + 2275*T1^6*T2^8 - 2179*T1^7*T2^8 - 
     49*T1^8*T2^8 + 985*T1^9*T2^8 + 210*T1^10*T2^8 - 8*T1^11*T2^8 + 
     263*T1^12*T2^8 - 93*T1^3*T2^9 - 148*T1^4*T2^9 + 38*T1^5*T2^9 - 
     480*T1^6*T2^9 - 261*T1^7*T2^9 + 985*T1^8*T2^9 - 158*T1^9*T2^9 - 
     970*T1^10*T2^9 + 510*T1^11*T2^9 - 345*T1^12*T2^9 + 135*T1^4*T2^10 - 
     166*T1^5*T2^10 + 350*T1^6*T2^10 - 74*T1^7*T2^10 + 210*T1^8*T2^10 - 
     970*T1^9*T2^10 + 1246*T1^10*T2^10 - 614*T1^11*T2^10 + 263*T1^12*T2^10 - 
     87*T1^5*T2^11 + 188*T1^6*T2^11 - 292*T1^7*T2^11 - 8*T1^8*T2^11 + 
     510*T1^9*T2^11 - 614*T1^10*T2^11 + 314*T1^11*T2^11 - 115*T1^12*T2^11 + 
     33*T1^6*T2^12 - 115*T1^7*T2^12 + 263*T1^8*T2^12 - 345*T1^9*T2^12 + 
     263*T1^10*T2^12 - 115*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 117] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 225*T1 - 449*T1^2 + 551*T1^3 - 449*T1^4 + 225*T1^5 - 41*T1^6 + 
      225*T2 - 1054*T1*T2 + 1456*T1^2*T2 - 1032*T1^3*T2 + 46*T1^4*T2 + 
      730*T1^5*T2 - 768*T1^6*T2 + 181*T1^7*T2 - 449*T2^2 + 1456*T1*T2^2 + 
      353*T1^2*T2^2 - 3432*T1^3*T2^2 + 5501*T1^4*T2^2 - 4840*T1^5*T2^2 + 
      2113*T1^6*T2^2 + 488*T1^7*T2^2 - 273*T1^8*T2^2 + 551*T2^3 - 
      1032*T1*T2^3 - 3432*T1^2*T2^3 + 6332*T1^3*T2^3 - 5440*T1^4*T2^3 + 
      1072*T1^5*T2^3 + 3044*T1^6*T2^3 - 3850*T1^7*T2^3 + 266*T1^8*T2^3 + 
      227*T1^9*T2^3 - 449*T2^4 + 46*T1*T2^4 + 5501*T1^2*T2^4 - 
      5440*T1^3*T2^4 + 1640*T1^4*T2^4 + 3104*T1^5*T2^4 - 4344*T1^6*T2^4 + 
      1688*T1^7*T2^4 + 2839*T1^8*T2^4 - 702*T1^9*T2^4 - 97*T1^10*T2^4 + 
      225*T2^5 + 730*T1*T2^5 - 4840*T1^2*T2^5 + 1072*T1^3*T2^5 + 
      3104*T1^4*T2^5 - 4722*T1^5*T2^5 + 1856*T1^6*T2^5 + 2136*T1^7*T2^5 - 
      4208*T1^8*T2^5 - 462*T1^9*T2^5 + 488*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 768*T1*T2^6 + 2113*T1^2*T2^6 + 3044*T1^3*T2^6 - 
      4344*T1^4*T2^6 + 1856*T1^5*T2^6 + 2508*T1^6*T2^6 - 4216*T1^7*T2^6 + 
      2476*T1^8*T2^6 + 2396*T1^9*T2^6 - 747*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 181*T1*T2^7 + 488*T1^2*T2^7 - 3850*T1^3*T2^7 + 
      1688*T1^4*T2^7 + 2136*T1^5*T2^7 - 4216*T1^6*T2^7 + 2362*T1^7*T2^7 + 
      1168*T1^8*T2^7 - 3592*T1^9*T2^7 + 528*T1^10*T2^7 + 246*T1^11*T2^7 - 
      39*T1^12*T2^7 - 273*T1^2*T2^8 + 266*T1^3*T2^8 + 2839*T1^4*T2^8 - 
      4208*T1^5*T2^8 + 2476*T1^6*T2^8 + 1168*T1^7*T2^8 - 3508*T1^8*T2^8 + 
      2920*T1^9*T2^8 + 177*T1^10*T2^8 - 482*T1^11*T2^8 + 79*T1^12*T2^8 + 
      227*T1^3*T2^9 - 702*T1^4*T2^9 - 462*T1^5*T2^9 + 2396*T1^6*T2^9 - 
      3592*T1^7*T2^9 + 2920*T1^8*T2^9 - 892*T1^9*T2^9 - 880*T1^10*T2^9 + 
      596*T1^11*T2^9 - 97*T1^12*T2^9 - 97*T1^4*T2^10 + 488*T1^5*T2^10 - 
      747*T1^6*T2^10 + 528*T1^7*T2^10 + 177*T1^8*T2^10 - 880*T1^9*T2^10 + 
      1013*T1^10*T2^10 - 480*T1^11*T2^10 + 79*T1^12*T2^10 + 5*T1^5*T2^11 - 
      64*T1^6*T2^11 + 246*T1^7*T2^11 - 482*T1^8*T2^11 + 596*T1^9*T2^11 - 
      480*T1^10*T2^11 + 222*T1^11*T2^11 - 39*T1^12*T2^11 + 7*T1^6*T2^12 - 
      39*T1^7*T2^12 + 79*T1^8*T2^12 - 97*T1^9*T2^12 + 79*T1^10*T2^12 - 
      39*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 118] -> {((2 - 3*T + 2*T^2)*(1 - T^2 + T^4))/T^3, 
   (-15 + 23*T1 - T1^2 - 21*T1^3 - T1^4 + 23*T1^5 - 15*T1^6 + 23*T2 - 
     40*T1*T2 + 12*T1^2*T2 + 18*T1^3*T2 - 6*T1^5*T2 - 10*T1^6*T2 + 
     11*T1^7*T2 - T2^2 + 12*T1*T2^2 + 8*T1^2*T2^2 - 24*T1^3*T2^2 + 
     30*T1^4*T2^2 - 24*T1^5*T2^2 + 8*T1^6*T2^2 + 12*T1^7*T2^2 - T1^8*T2^2 - 
     21*T2^3 + 18*T1*T2^3 - 24*T1^2*T2^3 + 44*T1^3*T2^3 - 61*T1^4*T2^3 - 
     7*T1^5*T2^3 + 62*T1^6*T2^3 - 24*T1^7*T2^3 - 36*T1^8*T2^3 + 
     15*T1^9*T2^3 - T2^4 + 30*T1^2*T2^4 - 61*T1^3*T2^4 - 43*T1^4*T2^4 + 
     185*T1^5*T2^4 - 151*T1^6*T2^4 - 25*T1^7*T2^4 + 84*T1^8*T2^4 - 
     36*T1^9*T2^4 - T1^10*T2^4 + 23*T2^5 - 6*T1*T2^5 - 24*T1^2*T2^5 - 
     7*T1^3*T2^5 + 185*T1^4*T2^5 - 180*T1^5*T2^5 - 30*T1^6*T2^5 + 
     185*T1^7*T2^5 - 97*T1^8*T2^5 - 24*T1^9*T2^5 + 84*T1^10*T2^5 - 
     37*T1^11*T2^5 - 15*T2^6 - 10*T1*T2^6 + 8*T1^2*T2^6 + 62*T1^3*T2^6 - 
     151*T1^4*T2^6 - 30*T1^5*T2^6 + 228*T1^6*T2^6 - 174*T1^7*T2^6 - 
     43*T1^8*T2^6 + 134*T1^9*T2^6 - 100*T1^10*T2^6 - 10*T1^11*T2^6 + 
     33*T1^12*T2^6 + 11*T1*T2^7 + 12*T1^2*T2^7 - 24*T1^3*T2^7 - 
     25*T1^4*T2^7 + 185*T1^5*T2^7 - 174*T1^6*T2^7 - 24*T1^7*T2^7 + 
     185*T1^8*T2^7 - 115*T1^9*T2^7 - 24*T1^10*T2^7 + 102*T1^11*T2^7 - 
     49*T1^12*T2^7 - T1^2*T2^8 - 36*T1^3*T2^8 + 84*T1^4*T2^8 - 97*T1^5*T2^8 - 
     43*T1^6*T2^8 + 185*T1^7*T2^8 - 151*T1^8*T2^8 - 61*T1^9*T2^8 + 
     138*T1^10*T2^8 - 72*T1^11*T2^8 - T1^12*T2^8 + 15*T1^3*T2^9 - 
     36*T1^4*T2^9 - 24*T1^5*T2^9 + 134*T1^6*T2^9 - 115*T1^7*T2^9 - 
     61*T1^8*T2^9 + 152*T1^9*T2^9 - 24*T1^10*T2^9 - 90*T1^11*T2^9 + 
     51*T1^12*T2^9 - T1^4*T2^10 + 84*T1^5*T2^10 - 100*T1^6*T2^10 - 
     24*T1^7*T2^10 + 138*T1^8*T2^10 - 24*T1^9*T2^10 - 100*T1^10*T2^10 + 
     84*T1^11*T2^10 - T1^12*T2^10 - 37*T1^5*T2^11 - 10*T1^6*T2^11 + 
     102*T1^7*T2^11 - 72*T1^8*T2^11 - 90*T1^9*T2^11 + 84*T1^10*T2^11 + 
     20*T1^11*T2^11 - 49*T1^12*T2^11 + 33*T1^6*T2^12 - 49*T1^7*T2^12 - 
     T1^8*T2^12 + 51*T1^9*T2^12 - T1^10*T2^12 - 49*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 119] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((-5 + 15*T1 - 15*T1^2 + 15*T1^3 - 15*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 + 9*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 9*T1^5*T2 - 21*T1^6*T2 + 
      12*T1^7*T2 - 15*T2^2 + 9*T1*T2^2 + 52*T1^2*T2^2 - 31*T1^3*T2^2 + 
      28*T1^4*T2^2 - 31*T1^5*T2^2 + 64*T1^6*T2^2 - 9*T1^7*T2^2 - 
      9*T1^8*T2^2 + 15*T2^3 - 9*T1*T2^3 - 31*T1^2*T2^3 - 16*T1^3*T2^3 + 
      6*T1^4*T2^3 + 6*T1^5*T2^3 - 34*T1^6*T2^3 - 22*T1^7*T2^3 + 9*T1^8*T2^3 + 
      6*T1^9*T2^3 - 15*T2^4 + 9*T1*T2^4 + 28*T1^2*T2^4 + 6*T1^3*T2^4 - 
      8*T1^4*T2^4 + 12*T1^5*T2^4 + 16*T1^6*T2^4 + 6*T1^7*T2^4 + 
      10*T1^8*T2^4 - 9*T1^9*T2^4 - 3*T1^10*T2^4 + 15*T2^5 - 9*T1*T2^5 - 
      31*T1^2*T2^5 + 6*T1^3*T2^5 + 12*T1^4*T2^5 + 7*T1^5*T2^5 - 
      41*T1^6*T2^5 + 21*T1^7*T2^5 + 6*T1^8*T2^5 - 4*T1^9*T2^5 + 
      9*T1^10*T2^5 - 5*T2^6 - 21*T1*T2^6 + 64*T1^2*T2^6 - 34*T1^3*T2^6 + 
      16*T1^4*T2^6 - 41*T1^5*T2^6 + 24*T1^6*T2^6 + 13*T1^7*T2^6 - 
      38*T1^8*T2^6 + 2*T1^9*T2^6 - 8*T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 
      12*T1*T2^7 - 9*T1^2*T2^7 - 22*T1^3*T2^7 + 6*T1^4*T2^7 + 21*T1^5*T2^7 + 
      13*T1^6*T2^7 - 35*T1^7*T2^7 + 30*T1^8*T2^7 + 6*T1^9*T2^7 + 
      5*T1^10*T2^7 + 9*T1^11*T2^7 - 3*T1^12*T2^7 - 9*T1^2*T2^8 + 
      9*T1^3*T2^8 + 10*T1^4*T2^8 + 6*T1^5*T2^8 - 38*T1^6*T2^8 + 
      30*T1^7*T2^8 - 14*T1^8*T2^8 + 6*T1^9*T2^8 - 8*T1^10*T2^8 - 
      9*T1^11*T2^8 + 3*T1^12*T2^8 + 6*T1^3*T2^9 - 9*T1^4*T2^9 - 4*T1^5*T2^9 + 
      2*T1^6*T2^9 + 6*T1^7*T2^9 + 6*T1^8*T2^9 - 16*T1^9*T2^9 + 5*T1^10*T2^9 + 
      9*T1^11*T2^9 - 3*T1^12*T2^9 - 3*T1^4*T2^10 + 9*T1^5*T2^10 - 
      8*T1^6*T2^10 + 5*T1^7*T2^10 - 8*T1^8*T2^10 + 5*T1^9*T2^10 + 
      4*T1^10*T2^10 - 9*T1^11*T2^10 + 3*T1^12*T2^10 - 3*T1^6*T2^11 + 
      9*T1^7*T2^11 - 9*T1^8*T2^11 + 9*T1^9*T2^11 - 9*T1^10*T2^11 + 
      9*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 
      3*T1^8*T2^12 - 3*T1^9*T2^12 + 3*T1^10*T2^12 - 3*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 120] -> 
  {(1 - 2*T + 4*T^2 - 5*T^3 + 4*T^4 - 2*T^5 + T^6)/T^3, 
   (-2 + 4*T1 - 8*T1^2 + 10*T1^3 - 8*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
     4*T1*T2 + 10*T1^2*T2 - 11*T1^3*T2 + 7*T1^4*T2 - 2*T1^5*T2 + 2*T1^6*T2 + 
     2*T1^7*T2 - 8*T2^2 + 10*T1*T2^2 - 15*T1^2*T2^2 + 3*T1^3*T2^2 + 
     15*T1^4*T2^2 - 21*T1^5*T2^2 + 9*T1^6*T2^2 - 6*T1^7*T2^2 + 10*T2^3 - 
     11*T1*T2^3 + 3*T1^2*T2^3 + 5*T1^3*T2^3 - 5*T1^4*T2^3 - 23*T1^5*T2^3 + 
     47*T1^6*T2^3 - 33*T1^7*T2^3 + 11*T1^8*T2^3 - 5*T1^9*T2^3 - 8*T2^4 + 
     7*T1*T2^4 + 15*T1^2*T2^4 - 5*T1^3*T2^4 + 12*T1^4*T2^4 + 10*T1^5*T2^4 - 
     25*T1^7*T2^4 + 39*T1^8*T2^4 - 5*T1^9*T2^4 + 8*T1^10*T2^4 + 4*T2^5 - 
     2*T1*T2^5 - 21*T1^2*T2^5 - 23*T1^3*T2^5 + 10*T1^4*T2^5 - 46*T1^5*T2^5 + 
     20*T1^6*T2^5 - 6*T1^7*T2^5 - 9*T1^8*T2^5 - 33*T1^9*T2^5 - 6*T1^10*T2^5 - 
     6*T1^11*T2^5 - 2*T2^6 + 2*T1*T2^6 + 9*T1^2*T2^6 + 47*T1^3*T2^6 + 
     20*T1^5*T2^6 + 36*T1^6*T2^6 - 40*T1^7*T2^6 + 40*T1^8*T2^6 + 
     17*T1^9*T2^6 + 33*T1^10*T2^6 + 6*T1^11*T2^6 + 4*T1^12*T2^6 + 2*T1*T2^7 - 
     6*T1^2*T2^7 - 33*T1^3*T2^7 - 25*T1^4*T2^7 - 6*T1^5*T2^7 - 40*T1^6*T2^7 + 
     26*T1^7*T2^7 - 22*T1^8*T2^7 - 11*T1^9*T2^7 - 45*T1^10*T2^7 - 
     10*T1^11*T2^7 - 8*T1^12*T2^7 + 11*T1^3*T2^8 + 39*T1^4*T2^8 - 
     9*T1^5*T2^8 + 40*T1^6*T2^8 - 22*T1^7*T2^8 + 28*T1^8*T2^8 - 
     29*T1^9*T2^8 + 63*T1^10*T2^8 - T1^11*T2^8 + 16*T1^12*T2^8 - 
     5*T1^3*T2^9 - 5*T1^4*T2^9 - 33*T1^5*T2^9 + 17*T1^6*T2^9 - 11*T1^7*T2^9 - 
     29*T1^8*T2^9 + 59*T1^9*T2^9 - 69*T1^10*T2^9 + 17*T1^11*T2^9 - 
     20*T1^12*T2^9 + 8*T1^4*T2^10 - 6*T1^5*T2^10 + 33*T1^6*T2^10 - 
     45*T1^7*T2^10 + 63*T1^8*T2^10 - 69*T1^9*T2^10 + 57*T1^10*T2^10 - 
     22*T1^11*T2^10 + 16*T1^12*T2^10 - 6*T1^5*T2^11 + 6*T1^6*T2^11 - 
     10*T1^7*T2^11 - T1^8*T2^11 + 17*T1^9*T2^11 - 22*T1^10*T2^11 + 
     12*T1^11*T2^11 - 8*T1^12*T2^11 + 4*T1^6*T2^12 - 8*T1^7*T2^12 + 
     16*T1^8*T2^12 - 20*T1^9*T2^12 + 16*T1^10*T2^12 - 8*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 121] -> {(1 - T^2 + T^4)/T^2, 
   (-2 + 2*T1^2 - 2*T1^4 + 8*T1*T2 - 5*T1^2*T2 - 5*T1^3*T2 + 8*T1^4*T2 + 
     2*T2^2 - 5*T1*T2^2 - 3*T1^2*T2^2 + 5*T1^3*T2^2 + T1^4*T2^2 - 
     5*T1^5*T2^2 - 5*T1*T2^3 + 5*T1^2*T2^3 - 4*T1^3*T2^3 - 4*T1^4*T2^3 + 
     5*T1^5*T2^3 - 5*T1^6*T2^3 - 2*T2^4 + 8*T1*T2^4 + T1^2*T2^4 - 
     4*T1^3*T2^4 + 12*T1^4*T2^4 - 4*T1^5*T2^4 - 3*T1^6*T2^4 + 8*T1^7*T2^4 + 
     2*T1^8*T2^4 - 5*T1^2*T2^5 + 5*T1^3*T2^5 - 4*T1^4*T2^5 - 4*T1^5*T2^5 + 
     5*T1^6*T2^5 - 5*T1^7*T2^5 - 5*T1^3*T2^6 - 3*T1^4*T2^6 + 5*T1^5*T2^6 + 
     T1^6*T2^6 - 5*T1^7*T2^6 - 2*T1^8*T2^6 + 8*T1^4*T2^7 - 5*T1^5*T2^7 - 
     5*T1^6*T2^7 + 8*T1^7*T2^7 + 2*T1^4*T2^8 - 2*T1^6*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 122] -> 
  {-((1 - 6*T + 14*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 14*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 70*T1^2 + 105*T1^3 - 115*T1^4 + 105*T1^5 - 
      70*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 
      294*T1^3*T2 + 186*T1^4*T2 - 78*T1^5*T2 - 84*T1^6*T2 + 156*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 157*T1^2*T2^2 - 
      298*T1^3*T2^2 + 833*T1^4*T2^2 - 969*T1^5*T2^2 + 1085*T1^6*T2^2 - 
      718*T1^7*T2^2 + 207*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 
      105*T2^3 - 294*T1*T2^3 - 298*T1^2*T2^3 + 1055*T1^3*T2^3 - 
      1405*T1^4*T2^3 + 846*T1^5*T2^3 - 645*T1^6*T2^3 - 292*T1^7*T2^3 + 
      761*T1^8*T2^3 - 592*T1^9*T2^3 + 42*T1^11*T2^3 - 115*T2^4 + 
      186*T1*T2^4 + 833*T1^2*T2^4 - 1405*T1^3*T2^4 + 1148*T1^4*T2^4 - 
      3*T1^5*T2^4 + 40*T1^6*T2^4 + 885*T1^7*T2^4 - 608*T1^8*T2^4 - 
      61*T1^9*T2^4 + 609*T1^10*T2^4 - 114*T1^11*T2^4 - 23*T1^12*T2^4 + 
      105*T2^5 - 78*T1*T2^5 - 969*T1^2*T2^5 + 846*T1^3*T2^5 - 3*T1^4*T2^5 - 
      981*T1^5*T2^5 + 50*T1^6*T2^5 - 496*T1^7*T2^5 - 387*T1^8*T2^5 + 
      810*T1^9*T2^5 - 687*T1^10*T2^5 - 249*T1^11*T2^5 + 138*T1^12*T2^5 - 
      70*T2^6 - 84*T1*T2^6 + 1085*T1^2*T2^6 - 645*T1^3*T2^6 + 40*T1^4*T2^6 + 
      50*T1^5*T2^6 + 1338*T1^6*T2^6 - 500*T1^7*T2^6 + 666*T1^8*T2^6 - 
      286*T1^9*T2^6 - 240*T1^10*T2^6 + 783*T1^11*T2^6 - 119*T1^12*T2^6 - 
      84*T1^13*T2^6 + 14*T1^14*T2^6 + 30*T2^7 + 156*T1*T2^7 - 718*T1^2*T2^7 - 
      292*T1^3*T2^7 + 885*T1^4*T2^7 - 496*T1^5*T2^7 - 500*T1^6*T2^7 - 
      765*T1^7*T2^7 + 747*T1^8*T2^7 - 521*T1^9*T2^7 + 470*T1^10*T2^7 - 
      228*T1^11*T2^7 - 481*T1^12*T2^7 + 332*T1^13*T2^7 - 12*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 207*T1^2*T2^8 + 761*T1^3*T2^8 - 
      608*T1^4*T2^8 - 387*T1^5*T2^8 + 666*T1^6*T2^8 + 747*T1^7*T2^8 - 
      504*T1^8*T2^8 - 315*T1^9*T2^8 + 260*T1^10*T2^8 - 585*T1^11*T2^8 + 
      724*T1^12*T2^8 - 205*T1^13*T2^8 - 193*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 108*T1^2*T2^9 - 592*T1^3*T2^9 - 
      61*T1^4*T2^9 + 810*T1^5*T2^9 - 286*T1^6*T2^9 - 521*T1^7*T2^9 - 
      315*T1^8*T2^9 + 1197*T1^9*T2^9 - 542*T1^10*T2^9 + 680*T1^11*T2^9 - 
      303*T1^12*T2^9 - 250*T1^13*T2^9 + 458*T1^14*T2^9 - 60*T1^15*T2^9 - 
      18*T1^16*T2^9 - 42*T1^2*T2^10 + 609*T1^4*T2^10 - 687*T1^5*T2^10 - 
      240*T1^6*T2^10 + 470*T1^7*T2^10 + 260*T1^8*T2^10 - 542*T1^9*T2^10 - 
      412*T1^10*T2^10 + 134*T1^11*T2^10 - 520*T1^12*T2^10 + 741*T1^13*T2^10 - 
      595*T1^14*T2^10 + 42*T1^16*T2^10 + 42*T1^3*T2^11 - 114*T1^4*T2^11 - 
      249*T1^5*T2^11 + 783*T1^6*T2^11 - 228*T1^7*T2^11 - 585*T1^8*T2^11 + 
      680*T1^9*T2^11 + 134*T1^10*T2^11 + 9*T1^11*T2^11 + 585*T1^12*T2^11 - 
      750*T1^13*T2^11 + 471*T1^14*T2^11 + 102*T1^15*T2^11 - 63*T1^16*T2^11 - 
      23*T1^4*T2^12 + 138*T1^5*T2^12 - 119*T1^6*T2^12 - 481*T1^7*T2^12 + 
      724*T1^8*T2^12 - 303*T1^9*T2^12 - 520*T1^10*T2^12 + 585*T1^11*T2^12 - 
      1032*T1^12*T2^12 + 863*T1^13*T2^12 - 343*T1^14*T2^12 - 
      162*T1^15*T2^12 + 69*T1^16*T2^12 - 84*T1^6*T2^13 + 332*T1^7*T2^13 - 
      205*T1^8*T2^13 - 250*T1^9*T2^13 + 741*T1^10*T2^13 - 750*T1^11*T2^13 + 
      863*T1^12*T2^13 - 499*T1^13*T2^13 + 38*T1^14*T2^13 + 210*T1^15*T2^13 - 
      63*T1^16*T2^13 + 14*T1^6*T2^14 - 12*T1^7*T2^14 - 193*T1^8*T2^14 + 
      458*T1^9*T2^14 - 595*T1^10*T2^14 + 471*T1^11*T2^14 - 343*T1^12*T2^14 + 
      38*T1^13*T2^14 + 171*T1^14*T2^14 - 180*T1^15*T2^14 + 42*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 60*T1^9*T2^15 + 102*T1^11*T2^15 - 
      162*T1^12*T2^15 + 210*T1^13*T2^15 - 180*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 
      63*T1^11*T2^16 + 69*T1^12*T2^16 - 63*T1^13*T2^16 + 42*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 123] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-41 + 286*T1 - 692*T1^2 + 915*T1^3 - 692*T1^4 + 286*T1^5 - 41*T1^6 + 
      286*T2 - 1772*T1*T2 + 3235*T1^2*T2 - 2515*T1^3*T2 - 303*T1^4*T2 + 
      1891*T1^5*T2 - 1324*T1^6*T2 + 230*T1^7*T2 - 692*T2^2 + 3235*T1*T2^2 - 
      875*T1^2*T2^2 - 8815*T1^3*T2^2 + 17233*T1^4*T2^2 - 13031*T1^5*T2^2 + 
      3477*T1^6*T2^2 + 1331*T1^7*T2^2 - 420*T1^8*T2^2 + 915*T2^3 - 
      2515*T1*T2^3 - 8815*T1^2*T2^3 + 25290*T1^3*T2^3 - 24625*T1^4*T2^3 + 
      19*T1^5*T2^3 + 15132*T1^6*T2^3 - 10379*T1^7*T2^3 + 313*T1^8*T2^3 + 
      375*T1^9*T2^3 - 692*T2^4 - 303*T1*T2^4 + 17233*T1^2*T2^4 - 
      24625*T1^3*T2^4 + 1149*T1^4*T2^4 + 34123*T1^5*T2^4 - 29207*T1^6*T2^4 + 
      3455*T1^7*T2^4 + 8841*T1^8*T2^4 - 1591*T1^9*T2^4 - 148*T1^10*T2^4 + 
      286*T2^5 + 1891*T1*T2^5 - 13031*T1^2*T2^5 + 19*T1^3*T2^5 + 
      34123*T1^4*T2^5 - 47096*T1^5*T2^5 + 7470*T1^6*T2^5 + 23039*T1^7*T2^5 - 
      17753*T1^8*T2^5 - 859*T1^9*T2^5 + 995*T1^10*T2^5 + 6*T1^11*T2^5 - 
      41*T2^6 - 1324*T1*T2^6 + 3477*T1^2*T2^6 + 15132*T1^3*T2^6 - 
      29207*T1^4*T2^6 + 7470*T1^5*T2^6 + 37692*T1^6*T2^6 - 39450*T1^7*T2^6 + 
      10313*T1^8*T2^6 + 8340*T1^9*T2^6 - 2059*T1^10*T2^6 - 92*T1^11*T2^6 + 
      7*T1^12*T2^6 + 230*T1*T2^7 + 1331*T1^2*T2^7 - 10379*T1^3*T2^7 + 
      3455*T1^4*T2^7 + 23039*T1^5*T2^7 - 39450*T1^6*T2^7 + 15116*T1^7*T2^7 + 
      11955*T1^8*T2^7 - 14317*T1^9*T2^7 + 1793*T1^10*T2^7 + 435*T1^11*T2^7 - 
      50*T1^12*T2^7 - 420*T1^2*T2^8 + 313*T1^3*T2^8 + 8841*T1^4*T2^8 - 
      17753*T1^5*T2^8 + 10313*T1^6*T2^8 + 11955*T1^7*T2^8 - 20043*T1^8*T2^8 + 
      10327*T1^9*T2^8 + 449*T1^10*T2^8 - 975*T1^11*T2^8 + 124*T1^12*T2^8 + 
      375*T1^3*T2^9 - 1591*T1^4*T2^9 - 859*T1^5*T2^9 + 8340*T1^6*T2^9 - 
      14317*T1^7*T2^9 + 10327*T1^8*T2^9 - 1818*T1^9*T2^9 - 2423*T1^10*T2^9 + 
      1237*T1^11*T2^9 - 165*T1^12*T2^9 - 148*T1^4*T2^10 + 995*T1^5*T2^10 - 
      2059*T1^6*T2^10 + 1793*T1^7*T2^10 + 449*T1^8*T2^10 - 2423*T1^9*T2^10 + 
      2293*T1^10*T2^10 - 909*T1^11*T2^10 + 124*T1^12*T2^10 + 6*T1^5*T2^11 - 
      92*T1^6*T2^11 + 435*T1^7*T2^11 - 975*T1^8*T2^11 + 1237*T1^9*T2^11 - 
      909*T1^10*T2^11 + 356*T1^11*T2^11 - 50*T1^12*T2^11 + 7*T1^6*T2^12 - 
      50*T1^7*T2^12 + 124*T1^8*T2^12 - 165*T1^9*T2^12 + 124*T1^10*T2^12 - 
      50*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 124] -> {(2 - 3*T + 2*T^2)/T, 
   -((2*T1^2 - 2*T1*T2 - 3*T1^2*T2 - 3*T1^3*T2 - 2*T1^4*T2 + 2*T2^2 - 
      3*T1*T2^2 + 27*T1^2*T2^2 - 27*T1^3*T2^2 + 27*T1^4*T2^2 - 3*T1^5*T2^2 + 
      2*T1^6*T2^2 - 3*T1*T2^3 - 27*T1^2*T2^3 + 20*T1^3*T2^3 - 10*T1^4*T2^3 - 
      15*T1^5*T2^3 - 3*T1^6*T2^3 - 2*T1*T2^4 + 27*T1^2*T2^4 - 10*T1^3*T2^4 + 
      14*T1^5*T2^4 + 11*T1^6*T2^4 - 2*T1^7*T2^4 - 3*T1^2*T2^5 - 
      15*T1^3*T2^5 + 14*T1^4*T2^5 - 16*T1^5*T2^5 - 3*T1^6*T2^5 - 
      3*T1^7*T2^5 + 2*T1^2*T2^6 - 3*T1^3*T2^6 + 11*T1^4*T2^6 - 3*T1^5*T2^6 + 
      11*T1^6*T2^6 - 3*T1^7*T2^6 + 2*T1^8*T2^6 - 2*T1^4*T2^7 - 3*T1^5*T2^7 - 
      3*T1^6*T2^7 - 2*T1^7*T2^7 + 2*T1^6*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 125] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 17*T^4 - 17*T^5 + 14*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 84*T1^2 + 102*T1^3 - 102*T1^4 + 102*T1^5 - 84*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 324*T1^2*T2 - 192*T1^3*T2 + 
     102*T1^4*T2 - 102*T1^5*T2 - 6*T1^6*T2 + 204*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 84*T2^2 + 324*T1*T2^2 - 151*T1^2*T2^2 - 760*T1^3*T2^2 + 
     855*T1^4*T2^2 - 687*T1^5*T2^2 + 939*T1^6*T2^2 - 1068*T1^7*T2^2 + 
     213*T1^8*T2^2 + 156*T1^9*T2^2 - 56*T1^10*T2^2 + 102*T2^3 - 192*T1*T2^3 - 
     760*T1^2*T2^3 + 2193*T1^3*T2^3 - 1029*T1^4*T2^3 + 412*T1^5*T2^3 - 
     863*T1^6*T2^3 + 402*T1^7*T2^3 + 1431*T1^8*T2^3 - 886*T1^9*T2^3 + 
     30*T1^10*T2^3 + 51*T1^11*T2^3 - 102*T2^4 + 102*T1*T2^4 + 855*T1^2*T2^4 - 
     1029*T1^3*T2^4 - 2206*T1^4*T2^4 + 2379*T1^5*T2^4 - 1424*T1^6*T2^4 + 
     2243*T1^7*T2^4 - 3362*T1^8*T2^4 + 467*T1^9*T2^4 + 583*T1^10*T2^4 - 
     102*T1^11*T2^4 - 34*T1^12*T2^4 + 102*T2^5 - 102*T1*T2^5 - 
     687*T1^2*T2^5 + 412*T1^3*T2^5 + 2379*T1^4*T2^5 - 747*T1^5*T2^5 - 
     385*T1^6*T2^5 - 691*T1^7*T2^5 + 1123*T1^8*T2^5 + 1682*T1^9*T2^5 - 
     761*T1^10*T2^5 - 279*T1^11*T2^5 + 102*T1^12*T2^5 + 17*T1^13*T2^5 - 
     84*T2^6 - 6*T1*T2^6 + 939*T1^2*T2^6 - 863*T1^3*T2^6 - 1424*T1^4*T2^6 - 
     385*T1^5*T2^6 + 607*T1^6*T2^6 + 941*T1^7*T2^6 - 1361*T1^8*T2^6 - 
     521*T1^9*T2^6 - 744*T1^10*T2^6 + 565*T1^11*T2^6 + 143*T1^12*T2^6 - 
     102*T1^13*T2^6 + 36*T2^7 + 204*T1*T2^7 - 1068*T1^2*T2^7 + 
     402*T1^3*T2^7 + 2243*T1^4*T2^7 - 691*T1^5*T2^7 + 941*T1^6*T2^7 - 
     2377*T1^7*T2^7 + 1825*T1^8*T2^7 + 450*T1^9*T2^7 - 45*T1^10*T2^7 + 
     696*T1^11*T2^7 - 769*T1^12*T2^7 + 150*T1^13*T2^7 + 36*T1^14*T2^7 - 
     6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 + 213*T1^2*T2^8 + 1431*T1^3*T2^8 - 
     3362*T1^4*T2^8 + 1123*T1^5*T2^8 - 1361*T1^6*T2^8 + 1825*T1^7*T2^8 + 
     384*T1^8*T2^8 - 2305*T1^9*T2^8 + 1265*T1^10*T2^8 - 1155*T1^11*T2^8 + 
     610*T1^12*T2^8 + 193*T1^13*T2^8 - 187*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 + 30*T1*T2^9 + 156*T1^2*T2^9 - 886*T1^3*T2^9 + 
     467*T1^4*T2^9 + 1682*T1^5*T2^9 - 521*T1^6*T2^9 + 450*T1^7*T2^9 - 
     2305*T1^8*T2^9 + 1897*T1^9*T2^9 - 41*T1^10*T2^9 + 125*T1^11*T2^9 + 
     135*T1^12*T2^9 - 704*T1^13*T2^9 + 332*T1^14*T2^9 - 12*T1^15*T2^9 - 
     12*T1^16*T2^9 - 56*T1^2*T2^10 + 30*T1^3*T2^10 + 583*T1^4*T2^10 - 
     761*T1^5*T2^10 - 744*T1^6*T2^10 - 45*T1^7*T2^10 + 1265*T1^8*T2^10 - 
     41*T1^9*T2^10 - 703*T1^10*T2^10 - 181*T1^11*T2^10 - 64*T1^12*T2^10 + 
     667*T1^13*T2^10 - 213*T1^14*T2^10 - 66*T1^15*T2^10 + 28*T1^16*T2^10 + 
     51*T1^3*T2^11 - 102*T1^4*T2^11 - 279*T1^5*T2^11 + 565*T1^6*T2^11 + 
     696*T1^7*T2^11 - 1155*T1^8*T2^11 + 125*T1^9*T2^11 - 181*T1^10*T2^11 + 
     715*T1^11*T2^11 - T1^12*T2^11 - 608*T1^13*T2^11 + 129*T1^14*T2^11 + 
     102*T1^15*T2^11 - 34*T1^16*T2^11 - 34*T1^4*T2^12 + 102*T1^5*T2^12 + 
     143*T1^6*T2^12 - 769*T1^7*T2^12 + 610*T1^8*T2^12 + 135*T1^9*T2^12 - 
     64*T1^10*T2^12 - T1^11*T2^12 - 546*T1^12*T2^12 + 727*T1^13*T2^12 - 
     129*T1^14*T2^12 - 102*T1^15*T2^12 + 34*T1^16*T2^12 + 17*T1^5*T2^13 - 
     102*T1^6*T2^13 + 150*T1^7*T2^13 + 193*T1^8*T2^13 - 704*T1^9*T2^13 + 
     667*T1^10*T2^13 - 608*T1^11*T2^13 + 727*T1^12*T2^13 - 569*T1^13*T2^13 + 
     24*T1^14*T2^13 + 120*T1^15*T2^13 - 34*T1^16*T2^13 + 36*T1^7*T2^14 - 
     187*T1^8*T2^14 + 332*T1^9*T2^14 - 213*T1^10*T2^14 + 129*T1^11*T2^14 - 
     129*T1^12*T2^14 + 24*T1^13*T2^14 + 177*T1^14*T2^14 - 132*T1^15*T2^14 + 
     28*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 12*T1^9*T2^15 - 
     66*T1^10*T2^15 + 102*T1^11*T2^15 - 102*T1^12*T2^15 + 120*T1^13*T2^15 - 
     132*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 
     12*T1^9*T2^16 + 28*T1^10*T2^16 - 34*T1^11*T2^16 + 34*T1^12*T2^16 - 
     34*T1^13*T2^16 + 28*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 126] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 198*T1 - 528*T1^2 + 709*T1^3 - 528*T1^4 + 198*T1^5 - 33*T1^6 + 
     198*T2 - 1038*T1*T2 + 2273*T1^2*T2 - 1857*T1^3*T2 - 57*T1^4*T2 + 
     1217*T1^5*T2 - 702*T1^6*T2 + 150*T1^7*T2 - 528*T2^2 + 2273*T1*T2^2 - 
     3372*T1^2*T2^2 - 1344*T1^3*T2^2 + 6438*T1^4*T2^2 - 5312*T1^5*T2^2 + 
     468*T1^6*T2^2 + 737*T1^7*T2^2 - 272*T1^8*T2^2 + 709*T2^3 - 
     1857*T1*T2^3 - 1344*T1^2*T2^3 + 13480*T1^3*T2^3 - 15204*T1^4*T2^3 + 
     2244*T1^5*T2^3 + 8194*T1^6*T2^3 - 4224*T1^7*T2^3 + 471*T1^8*T2^3 + 
     193*T1^9*T2^3 - 528*T2^4 - 57*T1*T2^4 + 6438*T1^2*T2^4 - 
     15204*T1^3*T2^4 - 1810*T1^4*T2^4 + 26350*T1^5*T2^4 - 26122*T1^6*T2^4 + 
     4748*T1^7*T2^4 + 2246*T1^8*T2^4 - 1065*T1^9*T2^4 - 16*T1^10*T2^4 + 
     198*T2^5 + 1217*T1*T2^5 - 5312*T1^2*T2^5 + 2244*T1^3*T2^5 + 
     26350*T1^4*T2^5 - 39206*T1^5*T2^5 + 14986*T1^6*T2^5 + 13806*T1^7*T2^5 - 
     10196*T1^8*T2^5 + 1920*T1^9*T2^5 + 353*T1^10*T2^5 - 42*T1^11*T2^5 - 
     33*T2^6 - 702*T1*T2^6 + 468*T1^2*T2^6 + 8194*T1^3*T2^6 - 
     26122*T1^4*T2^6 + 14986*T1^5*T2^6 + 18504*T1^6*T2^6 - 31510*T1^7*T2^6 + 
     11318*T1^8*T2^6 + 1018*T1^9*T2^6 - 1580*T1^10*T2^6 + 162*T1^11*T2^6 + 
     15*T1^12*T2^6 + 150*T1*T2^7 + 737*T1^2*T2^7 - 4224*T1^3*T2^7 + 
     4748*T1^4*T2^7 + 13806*T1^5*T2^7 - 31510*T1^6*T2^7 + 22682*T1^7*T2^7 + 
     1262*T1^8*T2^7 - 7692*T1^9*T2^7 + 3008*T1^10*T2^7 - 127*T1^11*T2^7 - 
     90*T1^12*T2^7 - 272*T1^2*T2^8 + 471*T1^3*T2^8 + 2246*T1^4*T2^8 - 
     10196*T1^5*T2^8 + 11318*T1^6*T2^8 + 1262*T1^7*T2^8 - 12994*T1^8*T2^8 + 
     9756*T1^9*T2^8 - 1946*T1^10*T2^8 - 537*T1^11*T2^8 + 240*T1^12*T2^8 + 
     193*T1^3*T2^9 - 1065*T1^4*T2^9 + 1920*T1^5*T2^9 + 1018*T1^6*T2^9 - 
     7692*T1^7*T2^9 + 9756*T1^8*T2^9 - 4268*T1^9*T2^9 - 960*T1^10*T2^9 + 
     1263*T1^11*T2^9 - 323*T1^12*T2^9 - 16*T1^4*T2^10 + 353*T1^5*T2^10 - 
     1580*T1^6*T2^10 + 3008*T1^7*T2^10 - 1946*T1^8*T2^10 - 960*T1^9*T2^10 + 
     2260*T1^10*T2^10 - 1183*T1^11*T2^10 + 240*T1^12*T2^10 - 42*T1^5*T2^11 + 
     162*T1^6*T2^11 - 127*T1^7*T2^11 - 537*T1^8*T2^11 + 1263*T1^9*T2^11 - 
     1183*T1^10*T2^11 + 498*T1^11*T2^11 - 90*T1^12*T2^11 + 15*T1^6*T2^12 - 
     90*T1^7*T2^12 + 240*T1^8*T2^12 - 323*T1^9*T2^12 + 240*T1^10*T2^12 - 
     90*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 127] -> 
  {-((1 - 6*T + 14*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 14*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 70*T1^2 + 105*T1^3 - 115*T1^4 + 105*T1^5 - 
      70*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 
      294*T1^3*T2 + 186*T1^4*T2 - 78*T1^5*T2 - 84*T1^6*T2 + 156*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 157*T1^2*T2^2 - 
      298*T1^3*T2^2 + 832*T1^4*T2^2 - 967*T1^5*T2^2 + 1084*T1^6*T2^2 - 
      718*T1^7*T2^2 + 207*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 
      105*T2^3 - 294*T1*T2^3 - 298*T1^2*T2^3 + 1057*T1^3*T2^3 - 
      1407*T1^4*T2^3 + 846*T1^5*T2^3 - 645*T1^6*T2^3 - 294*T1^7*T2^3 + 
      763*T1^8*T2^3 - 592*T1^9*T2^3 + 42*T1^11*T2^3 - 115*T2^4 + 
      186*T1*T2^4 + 832*T1^2*T2^4 - 1407*T1^3*T2^4 + 1150*T1^4*T2^4 - 
      3*T1^5*T2^4 + 42*T1^6*T2^4 + 885*T1^7*T2^4 - 606*T1^8*T2^4 - 
      63*T1^9*T2^4 + 608*T1^10*T2^4 - 114*T1^11*T2^4 - 23*T1^12*T2^4 + 
      105*T2^5 - 78*T1*T2^5 - 967*T1^2*T2^5 + 846*T1^3*T2^5 - 3*T1^4*T2^5 - 
      981*T1^5*T2^5 + 48*T1^6*T2^5 - 498*T1^7*T2^5 - 387*T1^8*T2^5 + 
      810*T1^9*T2^5 - 687*T1^10*T2^5 - 247*T1^11*T2^5 + 138*T1^12*T2^5 - 
      70*T2^6 - 84*T1*T2^6 + 1084*T1^2*T2^6 - 645*T1^3*T2^6 + 42*T1^4*T2^6 + 
      48*T1^5*T2^6 + 1338*T1^6*T2^6 - 498*T1^7*T2^6 + 666*T1^8*T2^6 - 
      288*T1^9*T2^6 - 238*T1^10*T2^6 + 783*T1^11*T2^6 - 120*T1^12*T2^6 - 
      84*T1^13*T2^6 + 14*T1^14*T2^6 + 30*T2^7 + 156*T1*T2^7 - 718*T1^2*T2^7 - 
      294*T1^3*T2^7 + 885*T1^4*T2^7 - 498*T1^5*T2^7 - 498*T1^6*T2^7 - 
      763*T1^7*T2^7 + 749*T1^8*T2^7 - 519*T1^9*T2^7 + 468*T1^10*T2^7 - 
      228*T1^11*T2^7 - 483*T1^12*T2^7 + 332*T1^13*T2^7 - 12*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 207*T1^2*T2^8 + 763*T1^3*T2^8 - 
      606*T1^4*T2^8 - 387*T1^5*T2^8 + 666*T1^6*T2^8 + 749*T1^7*T2^8 - 
      516*T1^8*T2^8 - 313*T1^9*T2^8 + 260*T1^10*T2^8 - 585*T1^11*T2^8 + 
      726*T1^12*T2^8 - 203*T1^13*T2^8 - 193*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 108*T1^2*T2^9 - 592*T1^3*T2^9 - 
      63*T1^4*T2^9 + 810*T1^5*T2^9 - 288*T1^6*T2^9 - 519*T1^7*T2^9 - 
      313*T1^8*T2^9 + 1199*T1^9*T2^9 - 540*T1^10*T2^9 + 678*T1^11*T2^9 - 
      303*T1^12*T2^9 - 252*T1^13*T2^9 + 458*T1^14*T2^9 - 60*T1^15*T2^9 - 
      18*T1^16*T2^9 - 42*T1^2*T2^10 + 608*T1^4*T2^10 - 687*T1^5*T2^10 - 
      238*T1^6*T2^10 + 468*T1^7*T2^10 + 260*T1^8*T2^10 - 540*T1^9*T2^10 - 
      412*T1^10*T2^10 + 132*T1^11*T2^10 - 518*T1^12*T2^10 + 741*T1^13*T2^10 - 
      596*T1^14*T2^10 + 42*T1^16*T2^10 + 42*T1^3*T2^11 - 114*T1^4*T2^11 - 
      247*T1^5*T2^11 + 783*T1^6*T2^11 - 228*T1^7*T2^11 - 585*T1^8*T2^11 + 
      678*T1^9*T2^11 + 132*T1^10*T2^11 + 9*T1^11*T2^11 + 585*T1^12*T2^11 - 
      750*T1^13*T2^11 + 473*T1^14*T2^11 + 102*T1^15*T2^11 - 63*T1^16*T2^11 - 
      23*T1^4*T2^12 + 138*T1^5*T2^12 - 120*T1^6*T2^12 - 483*T1^7*T2^12 + 
      726*T1^8*T2^12 - 303*T1^9*T2^12 - 518*T1^10*T2^12 + 585*T1^11*T2^12 - 
      1030*T1^12*T2^12 + 861*T1^13*T2^12 - 344*T1^14*T2^12 - 
      162*T1^15*T2^12 + 69*T1^16*T2^12 - 84*T1^6*T2^13 + 332*T1^7*T2^13 - 
      203*T1^8*T2^13 - 252*T1^9*T2^13 + 741*T1^10*T2^13 - 750*T1^11*T2^13 + 
      861*T1^12*T2^13 - 497*T1^13*T2^13 + 38*T1^14*T2^13 + 210*T1^15*T2^13 - 
      63*T1^16*T2^13 + 14*T1^6*T2^14 - 12*T1^7*T2^14 - 193*T1^8*T2^14 + 
      458*T1^9*T2^14 - 596*T1^10*T2^14 + 473*T1^11*T2^14 - 344*T1^12*T2^14 + 
      38*T1^13*T2^14 + 171*T1^14*T2^14 - 180*T1^15*T2^14 + 42*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 60*T1^9*T2^15 + 102*T1^11*T2^15 - 
      162*T1^12*T2^15 + 210*T1^13*T2^15 - 180*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 
      63*T1^11*T2^16 + 69*T1^12*T2^16 - 63*T1^13*T2^16 + 42*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 128] -> 
  {-((2 - 14*T + 34*T^2 - 45*T^3 + 34*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-41 + 286*T1 - 693*T1^2 + 917*T1^3 - 693*T1^4 + 286*T1^5 - 41*T1^6 + 
      286*T2 - 1770*T1*T2 + 3233*T1^2*T2 - 2515*T1^3*T2 - 303*T1^4*T2 + 
      1889*T1^5*T2 - 1322*T1^6*T2 + 230*T1^7*T2 - 693*T2^2 + 3233*T1*T2^2 - 
      873*T1^2*T2^2 - 8815*T1^3*T2^2 + 17235*T1^4*T2^2 - 13031*T1^5*T2^2 + 
      3479*T1^6*T2^2 + 1329*T1^7*T2^2 - 421*T1^8*T2^2 + 917*T2^3 - 
      2515*T1*T2^3 - 8815*T1^2*T2^3 + 25290*T1^3*T2^3 - 24627*T1^4*T2^3 + 
      17*T1^5*T2^3 + 15132*T1^6*T2^3 - 10379*T1^7*T2^3 + 313*T1^8*T2^3 + 
      377*T1^9*T2^3 - 693*T2^4 - 303*T1*T2^4 + 17235*T1^2*T2^4 - 
      24627*T1^3*T2^4 + 1149*T1^4*T2^4 + 34125*T1^5*T2^4 - 29207*T1^6*T2^4 + 
      3453*T1^7*T2^4 + 8843*T1^8*T2^4 - 1591*T1^9*T2^4 - 149*T1^10*T2^4 + 
      286*T2^5 + 1889*T1*T2^5 - 13031*T1^2*T2^5 + 17*T1^3*T2^5 + 
      34125*T1^4*T2^5 - 47094*T1^5*T2^5 + 7472*T1^6*T2^5 + 23041*T1^7*T2^5 - 
      17755*T1^8*T2^5 - 859*T1^9*T2^5 + 993*T1^10*T2^5 + 6*T1^11*T2^5 - 
      41*T2^6 - 1322*T1*T2^6 + 3479*T1^2*T2^6 + 15132*T1^3*T2^6 - 
      29207*T1^4*T2^6 + 7472*T1^5*T2^6 + 37680*T1^6*T2^6 - 39448*T1^7*T2^6 + 
      10313*T1^8*T2^6 + 8340*T1^9*T2^6 - 2057*T1^10*T2^6 - 90*T1^11*T2^6 + 
      7*T1^12*T2^6 + 230*T1*T2^7 + 1329*T1^2*T2^7 - 10379*T1^3*T2^7 + 
      3453*T1^4*T2^7 + 23041*T1^5*T2^7 - 39448*T1^6*T2^7 + 15118*T1^7*T2^7 + 
      11957*T1^8*T2^7 - 14319*T1^9*T2^7 + 1793*T1^10*T2^7 + 433*T1^11*T2^7 - 
      50*T1^12*T2^7 - 421*T1^2*T2^8 + 313*T1^3*T2^8 + 8843*T1^4*T2^8 - 
      17755*T1^5*T2^8 + 10313*T1^6*T2^8 + 11957*T1^7*T2^8 - 20043*T1^8*T2^8 + 
      10325*T1^9*T2^8 + 451*T1^10*T2^8 - 975*T1^11*T2^8 + 123*T1^12*T2^8 + 
      377*T1^3*T2^9 - 1591*T1^4*T2^9 - 859*T1^5*T2^9 + 8340*T1^6*T2^9 - 
      14319*T1^7*T2^9 + 10325*T1^8*T2^9 - 1818*T1^9*T2^9 - 2423*T1^10*T2^9 + 
      1237*T1^11*T2^9 - 163*T1^12*T2^9 - 149*T1^4*T2^10 + 993*T1^5*T2^10 - 
      2057*T1^6*T2^10 + 1793*T1^7*T2^10 + 451*T1^8*T2^10 - 2423*T1^9*T2^10 + 
      2295*T1^10*T2^10 - 911*T1^11*T2^10 + 123*T1^12*T2^10 + 6*T1^5*T2^11 - 
      90*T1^6*T2^11 + 433*T1^7*T2^11 - 975*T1^8*T2^11 + 1237*T1^9*T2^11 - 
      911*T1^10*T2^11 + 358*T1^11*T2^11 - 50*T1^12*T2^11 + 7*T1^6*T2^12 - 
      50*T1^7*T2^12 + 123*T1^8*T2^12 - 163*T1^9*T2^12 + 123*T1^10*T2^12 - 
      50*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 129] -> {(2 - 3*T + 2*T^2)/T, 
   (T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
     T2^2 + 2*T1*T2^2 - 2*T1^2*T2^2 - 4*T1^4*T2^2 - 2*T1^6*T2^2 + 
     2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 2*T1^3*T2^3 + 5*T1^4*T2^3 + 
     5*T1^5*T2^3 + 2*T1^6*T2^3 - 2*T1^9*T2^3 + T2^4 - 4*T1^2*T2^4 + 
     5*T1^3*T2^4 - 27*T1^4*T2^4 + 25*T1^5*T2^4 - 27*T1^6*T2^4 + 5*T1^7*T2^4 - 
     4*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 + 5*T1^3*T2^5 + 25*T1^4*T2^5 - 
     22*T1^5*T2^5 + 8*T1^6*T2^5 + 13*T1^7*T2^5 + 5*T1^8*T2^5 + 2*T1^10*T2^5 - 
     2*T1*T2^6 - 2*T1^2*T2^6 + 2*T1^3*T2^6 - 27*T1^4*T2^6 + 8*T1^5*T2^6 + 
     12*T1^6*T2^6 - 16*T1^7*T2^6 - 11*T1^8*T2^6 + 2*T1^9*T2^6 - 
     2*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 5*T1^4*T2^7 + 13*T1^5*T2^7 - 
     16*T1^6*T2^7 + 14*T1^7*T2^7 + T1^8*T2^7 + 5*T1^9*T2^7 + 2*T1^11*T2^7 + 
     T1^2*T2^8 - 4*T1^4*T2^8 + 5*T1^5*T2^8 - 11*T1^6*T2^8 + T1^7*T2^8 - 
     11*T1^8*T2^8 + 5*T1^9*T2^8 - 4*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 
     2*T1^6*T2^9 + 5*T1^7*T2^9 + 5*T1^8*T2^9 + 2*T1^9*T2^9 - 2*T1^12*T2^9 + 
     T1^4*T2^10 + 2*T1^5*T2^10 - 2*T1^6*T2^10 - 4*T1^8*T2^10 - 
     2*T1^10*T2^10 + 2*T1^11*T2^10 + T1^12*T2^10 - 2*T1^6*T2^11 + 
     2*T1^7*T2^11 + 2*T1^10*T2^11 - 2*T1^11*T2^11 + T1^8*T2^12 - 
     2*T1^9*T2^12 + T1^10*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 130] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-23 + 92*T1 - 160*T1^2 + 193*T1^3 - 160*T1^4 + 92*T1^5 - 23*T1^6 + 
      92*T2 - 310*T1*T2 + 407*T1^2*T2 - 361*T1^3*T2 + 135*T1^4*T2 + 
      55*T1^5*T2 - 150*T1^6*T2 + 60*T1^7*T2 - 160*T2^2 + 407*T1*T2^2 - 
      216*T1^2*T2^2 - 158*T1^3*T2^2 + 624*T1^4*T2^2 - 662*T1^5*T2^2 + 
      456*T1^6*T2^2 - 41*T1^7*T2^2 - 48*T1^8*T2^2 + 193*T2^3 - 361*T1*T2^3 - 
      158*T1^2*T2^3 + 666*T1^3*T2^3 - 880*T1^4*T2^3 + 348*T1^5*T2^3 + 
      140*T1^6*T2^3 - 466*T1^7*T2^3 + 231*T1^8*T2^3 - 11*T1^9*T2^3 - 
      160*T2^4 + 135*T1*T2^4 + 624*T1^2*T2^4 - 880*T1^3*T2^4 + 
      239*T1^4*T2^4 + 725*T1^5*T2^4 - 865*T1^6*T2^4 + 480*T1^7*T2^4 + 
      16*T1^8*T2^4 - 217*T1^9*T2^4 + 64*T1^10*T2^4 + 92*T2^5 + 55*T1*T2^5 - 
      662*T1^2*T2^5 + 348*T1^3*T2^5 + 725*T1^4*T2^5 - 800*T1^5*T2^5 - 
      14*T1^6*T2^5 + 753*T1^7*T2^5 - 616*T1^8*T2^5 + 430*T1^9*T2^5 + 
      23*T1^10*T2^5 - 68*T1^11*T2^5 - 23*T2^6 - 150*T1*T2^6 + 456*T1^2*T2^6 + 
      140*T1^3*T2^6 - 865*T1^4*T2^6 - 14*T1^5*T2^6 + 636*T1^6*T2^6 - 
      662*T1^7*T2^6 - 177*T1^8*T2^6 + 180*T1^9*T2^6 - 472*T1^10*T2^6 + 
      170*T1^11*T2^6 + 25*T1^12*T2^6 + 60*T1*T2^7 - 41*T1^2*T2^7 - 
      466*T1^3*T2^7 + 480*T1^4*T2^7 + 753*T1^5*T2^7 - 662*T1^6*T2^7 + 
      124*T1^7*T2^7 + 781*T1^8*T2^7 - 484*T1^9*T2^7 + 626*T1^10*T2^7 - 
      73*T1^11*T2^7 - 100*T1^12*T2^7 - 48*T1^2*T2^8 + 231*T1^3*T2^8 + 
      16*T1^4*T2^8 - 616*T1^5*T2^8 - 177*T1^6*T2^8 + 781*T1^7*T2^8 - 
      1281*T1^8*T2^8 + 744*T1^9*T2^8 - 592*T1^10*T2^8 - 121*T1^11*T2^8 + 
      176*T1^12*T2^8 - 11*T1^3*T2^9 - 217*T1^4*T2^9 + 430*T1^5*T2^9 + 
      180*T1^6*T2^9 - 484*T1^7*T2^9 + 744*T1^8*T2^9 - 346*T1^9*T2^9 + 
      122*T1^10*T2^9 + 375*T1^11*T2^9 - 215*T1^12*T2^9 + 64*T1^4*T2^10 + 
      23*T1^5*T2^10 - 472*T1^6*T2^10 + 626*T1^7*T2^10 - 592*T1^8*T2^10 + 
      122*T1^9*T2^10 + 200*T1^10*T2^10 - 425*T1^11*T2^10 + 176*T1^12*T2^10 - 
      68*T1^5*T2^11 + 170*T1^6*T2^11 - 73*T1^7*T2^11 - 121*T1^8*T2^11 + 
      375*T1^9*T2^11 - 425*T1^10*T2^11 + 330*T1^11*T2^11 - 100*T1^12*T2^11 + 
      25*T1^6*T2^12 - 100*T1^7*T2^12 + 176*T1^8*T2^12 - 215*T1^9*T2^12 + 
      176*T1^10*T2^12 - 100*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 131] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 164*T1 - 393*T1^2 + 507*T1^3 - 393*T1^4 + 164*T1^5 - 33*T1^6 + 
     164*T2 - 690*T1*T2 + 1337*T1^2*T2 - 1045*T1^3*T2 + 55*T1^4*T2 + 
     657*T1^5*T2 - 450*T1^6*T2 + 124*T1^7*T2 - 393*T2^2 + 1337*T1*T2^2 - 
     1843*T1^2*T2^2 - 261*T1^3*T2^2 + 2339*T1^4*T2^2 - 2277*T1^5*T2^2 + 
     269*T1^6*T2^2 + 377*T1^7*T2^2 - 201*T1^8*T2^2 + 507*T2^3 - 
     1045*T1*T2^3 - 261*T1^2*T2^3 + 4968*T1^3*T2^3 - 5451*T1^4*T2^3 + 
     1425*T1^5*T2^3 + 2946*T1^6*T2^3 - 1845*T1^7*T2^3 + 335*T1^8*T2^3 + 
     135*T1^9*T2^3 - 393*T2^4 + 55*T1*T2^4 + 2339*T1^2*T2^4 - 
     5451*T1^3*T2^4 - 638*T1^4*T2^4 + 8164*T1^5*T2^4 - 9434*T1^6*T2^4 + 
     2237*T1^7*T2^4 + 747*T1^8*T2^4 - 625*T1^9*T2^4 - 9*T1^10*T2^4 + 
     164*T2^5 + 657*T1*T2^5 - 2277*T1^2*T2^5 + 1425*T1^3*T2^5 + 
     8164*T1^4*T2^5 - 11872*T1^5*T2^5 + 5768*T1^6*T2^5 + 4228*T1^7*T2^5 - 
     3827*T1^8*T2^5 + 1035*T1^9*T2^5 + 217*T1^10*T2^5 - 36*T1^11*T2^5 - 
     33*T2^6 - 450*T1*T2^6 + 269*T1^2*T2^6 + 2946*T1^3*T2^6 - 
     9434*T1^4*T2^6 + 5768*T1^5*T2^6 + 4116*T1^6*T2^6 - 9864*T1^7*T2^6 + 
     4086*T1^8*T2^6 + 282*T1^9*T2^6 - 851*T1^10*T2^6 + 110*T1^11*T2^6 + 
     15*T1^12*T2^6 + 124*T1*T2^7 + 377*T1^2*T2^7 - 1845*T1^3*T2^7 + 
     2237*T1^4*T2^7 + 4228*T1^5*T2^7 - 9864*T1^6*T2^7 + 7776*T1^7*T2^7 + 
     292*T1^8*T2^7 - 3015*T1^9*T2^7 + 1467*T1^10*T2^7 - 63*T1^11*T2^7 - 
     76*T1^12*T2^7 - 201*T1^2*T2^8 + 335*T1^3*T2^8 + 747*T1^4*T2^8 - 
     3827*T1^5*T2^8 + 4086*T1^6*T2^8 + 292*T1^7*T2^8 - 4710*T1^8*T2^8 + 
     3861*T1^9*T2^8 - 845*T1^10*T2^8 - 345*T1^11*T2^8 + 183*T1^12*T2^8 + 
     135*T1^3*T2^9 - 625*T1^4*T2^9 + 1035*T1^5*T2^9 + 282*T1^6*T2^9 - 
     3015*T1^7*T2^9 + 3861*T1^8*T2^9 - 1740*T1^9*T2^9 - 549*T1^10*T2^9 + 
     755*T1^11*T2^9 - 237*T1^12*T2^9 - 9*T1^4*T2^10 + 217*T1^5*T2^10 - 
     851*T1^6*T2^10 + 1467*T1^7*T2^10 - 845*T1^8*T2^10 - 549*T1^9*T2^10 + 
     1261*T1^10*T2^10 - 743*T1^11*T2^10 + 183*T1^12*T2^10 - 36*T1^5*T2^11 + 
     110*T1^6*T2^11 - 63*T1^7*T2^11 - 345*T1^8*T2^11 + 755*T1^9*T2^11 - 
     743*T1^10*T2^11 + 350*T1^11*T2^11 - 76*T1^12*T2^11 + 15*T1^6*T2^12 - 
     76*T1^7*T2^12 + 183*T1^8*T2^12 - 237*T1^9*T2^12 + 183*T1^10*T2^12 - 
     76*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 132] -> {(2 - 3*T + 2*T^2)^2/T^2, 
   -((T1^2 - 2*T1^3 + T1^4 + 6*T1*T2 - 18*T1^2*T2 + 12*T1^3*T2 + 12*T1^4*T2 - 
      18*T1^5*T2 + 6*T1^6*T2 + T2^2 - 18*T1*T2^2 + 192*T1^2*T2^2 - 
      468*T1^3*T2^2 + 630*T1^4*T2^2 - 468*T1^5*T2^2 + 192*T1^6*T2^2 - 
      18*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 12*T1*T2^3 - 468*T1^2*T2^3 + 
      1048*T1^3*T2^3 - 1111*T1^4*T2^3 + 281*T1^5*T2^3 + 280*T1^6*T2^3 - 
      276*T1^7*T2^3 + 12*T1^8*T2^3 - 2*T1^9*T2^3 + T2^4 + 12*T1*T2^4 + 
      630*T1^2*T2^4 - 1111*T1^3*T2^4 + 652*T1^4*T2^4 + 856*T1^5*T2^4 - 
      1116*T1^6*T2^4 + 521*T1^7*T2^4 + 86*T1^8*T2^4 + 12*T1^9*T2^4 + 
      T1^10*T2^4 - 18*T1*T2^5 - 468*T1^2*T2^5 + 281*T1^3*T2^5 + 
      856*T1^4*T2^5 - 2260*T1^5*T2^5 + 1352*T1^6*T2^5 + 40*T1^7*T2^5 - 
      631*T1^8*T2^5 + 108*T1^9*T2^5 - 18*T1^10*T2^5 + 6*T1*T2^6 + 
      192*T1^2*T2^6 + 280*T1^3*T2^6 - 1116*T1^4*T2^6 + 1352*T1^5*T2^6 + 
      444*T1^6*T2^6 - 1624*T1^7*T2^6 + 1252*T1^8*T2^6 - 104*T1^9*T2^6 - 
      64*T1^10*T2^6 + 6*T1^11*T2^6 - 18*T1^2*T2^7 - 276*T1^3*T2^7 + 
      521*T1^4*T2^7 + 40*T1^5*T2^7 - 1624*T1^6*T2^7 + 1988*T1^7*T2^7 - 
      776*T1^8*T2^7 - 391*T1^9*T2^7 + 300*T1^10*T2^7 - 18*T1^11*T2^7 + 
      T1^2*T2^8 + 12*T1^3*T2^8 + 86*T1^4*T2^8 - 631*T1^5*T2^8 + 
      1252*T1^6*T2^8 - 776*T1^7*T2^8 - 516*T1^8*T2^8 + 1001*T1^9*T2^8 - 
      458*T1^10*T2^8 + 12*T1^11*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + 
      12*T1^4*T2^9 + 108*T1^5*T2^9 - 104*T1^6*T2^9 - 391*T1^7*T2^9 + 
      1001*T1^8*T2^9 - 872*T1^9*T2^9 + 300*T1^10*T2^9 + 12*T1^11*T2^9 - 
      2*T1^12*T2^9 + T1^4*T2^10 - 18*T1^5*T2^10 - 64*T1^6*T2^10 + 
      300*T1^7*T2^10 - 458*T1^8*T2^10 + 300*T1^9*T2^10 - 64*T1^10*T2^10 - 
      18*T1^11*T2^10 + T1^12*T2^10 + 6*T1^6*T2^11 - 18*T1^7*T2^11 + 
      12*T1^8*T2^11 + 12*T1^9*T2^11 - 18*T1^10*T2^11 + 6*T1^11*T2^11 + 
      T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 133] -> 
  {((2 - 3*T + 2*T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   -((388 - 1340*T1 + 2470*T1^2 - 2934*T1^3 + 2470*T1^4 - 1340*T1^5 + 
      388*T1^6 - 1340*T2 + 3536*T1*T2 - 4738*T1^2*T2 + 3090*T1^3*T2 - 
      102*T1^4*T2 - 2498*T1^5*T2 + 2528*T1^6*T2 - 1116*T1^7*T2 + 2470*T2^2 - 
      4738*T1*T2^2 + 4053*T1^2*T2^2 + 469*T1^3*T2^2 - 3513*T1^4*T2^2 + 
      4005*T1^5*T2^2 - 523*T1^6*T2^2 - 1826*T1^7*T2^2 + 1638*T1^8*T2^2 - 
      2934*T2^3 + 3090*T1*T2^3 + 469*T1^2*T2^3 - 5632*T1^3*T2^3 + 
      4604*T1^4*T2^3 - 1264*T1^5*T2^3 - 4092*T1^6*T2^3 + 3589*T1^7*T2^3 - 
      662*T1^8*T2^3 - 1446*T1^9*T2^3 + 2470*T2^4 - 102*T1*T2^4 - 
      3513*T1^2*T2^4 + 4604*T1^3*T2^4 + 1979*T1^4*T2^4 - 5713*T1^5*T2^4 + 
      7583*T1^6*T2^4 - 1596*T1^7*T2^4 - 2177*T1^8*T2^4 + 2250*T1^9*T2^4 + 
      806*T1^10*T2^4 - 1340*T2^5 - 2498*T1*T2^5 + 4005*T1^2*T2^5 - 
      1264*T1^3*T2^5 - 5713*T1^4*T2^5 + 4912*T1^5*T2^5 - 2390*T1^6*T2^5 - 
      4413*T1^7*T2^5 + 3940*T1^8*T2^5 - 779*T1^9*T2^5 - 2050*T1^10*T2^5 - 
      220*T1^11*T2^5 + 388*T2^6 + 2528*T1*T2^6 - 523*T1^2*T2^6 - 
      4092*T1^3*T2^6 + 7583*T1^4*T2^6 - 2390*T1^5*T2^6 - 1272*T1^6*T2^6 + 
      4690*T1^7*T2^6 - 353*T1^8*T2^6 - 2572*T1^9*T2^6 + 2549*T1^10*T2^6 + 
      736*T1^11*T2^6 + 4*T1^12*T2^6 - 1116*T1*T2^7 - 1826*T1^2*T2^7 + 
      3589*T1^3*T2^7 - 1596*T1^4*T2^7 - 4413*T1^5*T2^7 + 4690*T1^6*T2^7 - 
      2612*T1^7*T2^7 - 3113*T1^8*T2^7 + 3608*T1^9*T2^7 - 1195*T1^10*T2^7 - 
      1378*T1^11*T2^7 + 4*T1^12*T2^7 + 1638*T1^2*T2^8 - 662*T1^3*T2^8 - 
      2177*T1^4*T2^8 + 3940*T1^5*T2^8 - 353*T1^6*T2^8 - 3113*T1^7*T2^8 + 
      5251*T1^8*T2^8 - 2260*T1^9*T2^8 - 841*T1^10*T2^8 + 1690*T1^11*T2^8 - 
      26*T1^12*T2^8 - 1446*T1^3*T2^9 + 2250*T1^4*T2^9 - 779*T1^5*T2^9 - 
      2572*T1^6*T2^9 + 3608*T1^7*T2^9 - 2260*T1^8*T2^9 - 1032*T1^9*T2^9 + 
      2341*T1^10*T2^9 - 1502*T1^11*T2^9 + 42*T1^12*T2^9 + 806*T1^4*T2^10 - 
      2050*T1^5*T2^10 + 2549*T1^6*T2^10 - 1195*T1^7*T2^10 - 841*T1^8*T2^10 + 
      2341*T1^9*T2^10 - 2027*T1^10*T2^10 + 862*T1^11*T2^10 - 26*T1^12*T2^10 - 
      220*T1^5*T2^11 + 736*T1^6*T2^11 - 1378*T1^7*T2^11 + 1690*T1^8*T2^11 - 
      1502*T1^9*T2^11 + 862*T1^10*T2^11 - 272*T1^11*T2^11 + 4*T1^12*T2^11 + 
      4*T1^6*T2^12 + 4*T1^7*T2^12 - 26*T1^8*T2^12 + 42*T1^9*T2^12 - 
      26*T1^10*T2^12 + 4*T1^11*T2^12 + 4*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 134] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 42*T1^2 + 49*T1^3 - 49*T1^4 + 49*T1^5 - 42*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 72*T1^2*T2 - 52*T1^3*T2 + 
      28*T1^4*T2 - 28*T1^5*T2 + 32*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      42*T2^2 + 72*T1*T2^2 + 100*T1^2*T2^2 - 160*T1^3*T2^2 + 193*T1^4*T2^2 - 
      162*T1^5*T2^2 + 205*T1^6*T2^2 - 196*T1^7*T2^2 + 160*T1^8*T2^2 + 
      24*T1^9*T2^2 - 30*T1^10*T2^2 + 49*T2^3 - 52*T1*T2^3 - 160*T1^2*T2^3 + 
      81*T1^3*T2^3 - 63*T1^4*T2^3 - 3*T1^5*T2^3 - 66*T1^6*T2^3 + 
      18*T1^7*T2^3 + 9*T1^8*T2^3 - 166*T1^9*T2^3 + 8*T1^10*T2^3 + 
      28*T1^11*T2^3 - 49*T2^4 + 28*T1*T2^4 + 193*T1^2*T2^4 - 63*T1^3*T2^4 + 
      132*T1^4*T2^4 - 102*T1^5*T2^4 + 206*T1^6*T2^4 - 130*T1^7*T2^4 + 
      132*T1^8*T2^4 + 21*T1^9*T2^4 + 137*T1^10*T2^4 - 28*T1^11*T2^4 - 
      21*T1^12*T2^4 + 49*T2^5 - 28*T1*T2^5 - 162*T1^2*T2^5 - 3*T1^3*T2^5 - 
      102*T1^4*T2^5 + 47*T1^5*T2^5 - 129*T1^6*T2^5 + 25*T1^7*T2^5 - 
      51*T1^8*T2^5 - 95*T1^9*T2^5 - 52*T1^10*T2^5 - 78*T1^11*T2^5 + 
      28*T1^12*T2^5 + 14*T1^13*T2^5 - 42*T2^6 + 205*T1^2*T2^6 - 
      66*T1^3*T2^6 + 206*T1^4*T2^6 - 129*T1^5*T2^6 + 167*T1^6*T2^6 - 
      59*T1^7*T2^6 + 95*T1^8*T2^6 + 39*T1^9*T2^6 + 94*T1^10*T2^6 + 
      18*T1^11*T2^6 + 57*T1^12*T2^6 - 32*T1^13*T2^6 - 6*T1^14*T2^6 + 
      28*T2^7 + 32*T1*T2^7 - 196*T1^2*T2^7 + 18*T1^3*T2^7 - 130*T1^4*T2^7 + 
      25*T1^5*T2^7 - 59*T1^6*T2^7 + 27*T1^7*T2^7 - 81*T1^8*T2^7 - 
      16*T1^9*T2^7 - 101*T1^10*T2^7 + 3*T1^11*T2^7 - 51*T1^12*T2^7 - 
      10*T1^13*T2^7 + 24*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 160*T1^2*T2^8 + 
      9*T1^3*T2^8 + 132*T1^4*T2^8 - 51*T1^5*T2^8 + 95*T1^6*T2^8 - 
      81*T1^7*T2^8 + 60*T1^8*T2^8 + 33*T1^9*T2^8 + 41*T1^10*T2^8 + 
      47*T1^11*T2^8 - 12*T1^12*T2^8 + 51*T1^13*T2^8 - 32*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 24*T1^2*T2^9 - 166*T1^3*T2^9 + 
      21*T1^4*T2^9 - 95*T1^5*T2^9 + 39*T1^6*T2^9 - 16*T1^7*T2^9 + 
      33*T1^8*T2^9 - 75*T1^9*T2^9 + 27*T1^10*T2^9 - 87*T1^11*T2^9 + 
      38*T1^12*T2^9 - 48*T1^13*T2^9 + 20*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 30*T1^2*T2^10 + 8*T1^3*T2^10 + 137*T1^4*T2^10 - 
      52*T1^5*T2^10 + 94*T1^6*T2^10 - 101*T1^7*T2^10 + 41*T1^8*T2^10 + 
      27*T1^9*T2^10 - 31*T1^10*T2^10 + 67*T1^11*T2^10 - 18*T1^12*T2^10 + 
      32*T1^13*T2^10 - 11*T1^14*T2^10 - 24*T1^15*T2^10 + 6*T1^16*T2^10 + 
      28*T1^3*T2^11 - 28*T1^4*T2^11 - 78*T1^5*T2^11 + 18*T1^6*T2^11 + 
      3*T1^7*T2^11 + 47*T1^8*T2^11 - 87*T1^9*T2^11 + 67*T1^10*T2^11 - 
      51*T1^11*T2^11 + 10*T1^12*T2^11 - 31*T1^13*T2^11 + 6*T1^14*T2^11 + 
      28*T1^15*T2^11 - 7*T1^16*T2^11 - 21*T1^4*T2^12 + 28*T1^5*T2^12 + 
      57*T1^6*T2^12 - 51*T1^7*T2^12 - 12*T1^8*T2^12 + 38*T1^9*T2^12 - 
      18*T1^10*T2^12 + 10*T1^11*T2^12 - 12*T1^12*T2^12 + 33*T1^13*T2^12 + 
      T1^14*T2^12 - 28*T1^15*T2^12 + 7*T1^16*T2^12 + 14*T1^5*T2^13 - 
      32*T1^6*T2^13 - 10*T1^7*T2^13 + 51*T1^8*T2^13 - 48*T1^9*T2^13 + 
      32*T1^10*T2^13 - 31*T1^11*T2^13 + 33*T1^12*T2^13 - 21*T1^13*T2^13 - 
      16*T1^14*T2^13 + 28*T1^15*T2^13 - 7*T1^16*T2^13 - 6*T1^6*T2^14 + 
      24*T1^7*T2^14 - 32*T1^8*T2^14 + 20*T1^9*T2^14 - 11*T1^10*T2^14 + 
      6*T1^11*T2^14 + T1^12*T2^14 - 16*T1^13*T2^14 + 28*T1^14*T2^14 - 
      24*T1^15*T2^14 + 6*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      24*T1^10*T2^15 + 28*T1^11*T2^15 - 28*T1^12*T2^15 + 28*T1^13*T2^15 - 
      24*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 6*T1^10*T2^16 - 7*T1^11*T2^16 + 7*T1^12*T2^16 - 
      7*T1^13*T2^16 + 6*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 135] -> 
  {(1 - 4*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 20*T1^2 + 30*T1^3 - 34*T1^4 + 30*T1^5 - 20*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 64*T1^2*T2 - 80*T1^3*T2 + 76*T1^4*T2 - 
     52*T1^5*T2 + 20*T1^6*T2 + 8*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 20*T2^2 + 
     64*T1*T2^2 - 140*T1^2*T2^2 + 156*T1^3*T2^2 - 134*T1^4*T2^2 + 
     70*T1^5*T2^2 + 6*T1^6*T2^2 - 64*T1^7*T2^2 + 40*T1^8*T2^2 - 
     16*T1^9*T2^2 + 30*T2^3 - 80*T1*T2^3 + 156*T1^2*T2^3 - 105*T1^3*T2^3 + 
     29*T1^4*T2^3 + 55*T1^5*T2^3 - 100*T1^6*T2^3 + 84*T1^7*T2^3 + 
     55*T1^8*T2^3 - 94*T1^9*T2^3 + 60*T1^10*T2^3 - 15*T1^11*T2^3 - 34*T2^4 + 
     76*T1*T2^4 - 134*T1^2*T2^4 + 29*T1^3*T2^4 + 24*T1^4*T2^4 - 4*T1^5*T2^4 - 
     38*T1^6*T2^4 + 88*T1^7*T2^4 - 208*T1^8*T2^4 + 89*T1^9*T2^4 + 
     66*T1^10*T2^4 - 76*T1^11*T2^4 + 34*T1^12*T2^4 + 30*T2^5 - 52*T1*T2^5 + 
     70*T1^2*T2^5 + 55*T1^3*T2^5 - 4*T1^4*T2^5 - 223*T1^5*T2^5 + 
     340*T1^6*T2^5 - 410*T1^7*T2^5 + 443*T1^8*T2^5 - 115*T1^9*T2^5 - 
     110*T1^10*T2^5 - 14*T1^11*T2^5 + 44*T1^12*T2^5 - 45*T1^13*T2^5 - 
     20*T2^6 + 20*T1*T2^6 + 6*T1^2*T2^6 - 100*T1^3*T2^6 - 38*T1^4*T2^6 + 
     340*T1^5*T2^6 - 260*T1^6*T2^6 + 194*T1^7*T2^6 + 20*T1^8*T2^6 - 
     460*T1^9*T2^6 + 442*T1^10*T2^6 + 40*T1^11*T2^6 - 14*T1^12*T2^6 + 
     20*T1^13*T2^6 + 40*T1^14*T2^6 + 8*T2^7 + 8*T1*T2^7 - 64*T1^2*T2^7 + 
     84*T1^3*T2^7 + 88*T1^4*T2^7 - 410*T1^5*T2^7 + 194*T1^6*T2^7 - 
     303*T1^7*T2^7 + 127*T1^8*T2^7 + 39*T1^9*T2^7 + 240*T1^10*T2^7 - 
     613*T1^11*T2^7 + 49*T1^12*T2^7 + 6*T1^13*T2^7 - 80*T1^14*T2^7 - 
     20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 40*T1^2*T2^8 + 55*T1^3*T2^8 - 
     208*T1^4*T2^8 + 443*T1^5*T2^8 + 20*T1^6*T2^8 + 127*T1^7*T2^8 + 
     228*T1^8*T2^8 - 291*T1^9*T2^8 + 110*T1^10*T2^8 + 5*T1^11*T2^8 + 
     688*T1^12*T2^8 - 255*T1^13*T2^8 + 136*T1^14*T2^8 + 56*T1^15*T2^8 + 
     6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 94*T1^3*T2^9 + 89*T1^4*T2^9 - 
     115*T1^5*T2^9 - 460*T1^6*T2^9 + 39*T1^7*T2^9 - 291*T1^8*T2^9 + 
     139*T1^9*T2^9 - 116*T1^10*T2^9 + 190*T1^11*T2^9 - 816*T1^12*T2^9 + 
     54*T1^13*T2^9 - 24*T1^14*T2^9 - 104*T1^15*T2^9 - 24*T1^16*T2^9 + 
     60*T1^3*T2^10 + 66*T1^4*T2^10 - 110*T1^5*T2^10 + 442*T1^6*T2^10 + 
     240*T1^7*T2^10 + 110*T1^8*T2^10 - 116*T1^9*T2^10 + 390*T1^10*T2^10 - 
     560*T1^11*T2^10 + 922*T1^12*T2^10 + 30*T1^13*T2^10 + 46*T1^14*T2^10 + 
     60*T1^15*T2^10 + 60*T1^16*T2^10 - 15*T1^3*T2^11 - 76*T1^4*T2^11 - 
     14*T1^5*T2^11 + 40*T1^6*T2^11 - 613*T1^7*T2^11 + 5*T1^8*T2^11 + 
     190*T1^9*T2^11 - 560*T1^10*T2^11 + 671*T1^11*T2^11 - 724*T1^12*T2^11 - 
     125*T1^13*T2^11 - 98*T1^14*T2^11 + 20*T1^15*T2^11 - 90*T1^16*T2^11 + 
     34*T1^4*T2^12 + 44*T1^5*T2^12 - 14*T1^6*T2^12 + 49*T1^7*T2^12 + 
     688*T1^8*T2^12 - 816*T1^9*T2^12 + 922*T1^10*T2^12 - 724*T1^11*T2^12 + 
     456*T1^12*T2^12 + 109*T1^13*T2^12 + 186*T1^14*T2^12 - 108*T1^15*T2^12 + 
     102*T1^16*T2^12 - 45*T1^5*T2^13 + 20*T1^6*T2^13 + 6*T1^7*T2^13 - 
     255*T1^8*T2^13 + 54*T1^9*T2^13 + 30*T1^10*T2^13 - 125*T1^11*T2^13 + 
     109*T1^12*T2^13 - 95*T1^13*T2^13 - 244*T1^14*T2^13 + 160*T1^15*T2^13 - 
     90*T1^16*T2^13 + 40*T1^6*T2^14 - 80*T1^7*T2^14 + 136*T1^8*T2^14 - 
     24*T1^9*T2^14 + 46*T1^10*T2^14 - 98*T1^11*T2^14 + 186*T1^12*T2^14 - 
     244*T1^13*T2^14 + 316*T1^14*T2^14 - 160*T1^15*T2^14 + 60*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 104*T1^9*T2^15 + 60*T1^10*T2^15 + 
     20*T1^11*T2^15 - 108*T1^12*T2^15 + 160*T1^13*T2^15 - 160*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     60*T1^10*T2^16 - 90*T1^11*T2^16 + 102*T1^12*T2^16 - 90*T1^13*T2^16 + 
     60*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 136] -> 
  {(1 - 6*T^2 + 15*T^3 - 19*T^4 + 15*T^5 - 6*T^6 + T^8)/T^4, 
   (-8 + 48*T1^2 - 120*T1^3 + 152*T1^4 - 120*T1^5 + 48*T1^6 - 8*T1^8 + 
     48*T2^2 - 248*T1^2*T2^2 + 685*T1^3*T2^2 - 1040*T1^4*T2^2 + 
     1142*T1^5*T2^2 - 884*T1^6*T2^2 + 505*T1^7*T2^2 - 164*T1^8*T2^2 + 
     36*T1^10*T2^2 - 120*T2^3 + 685*T1^2*T2^3 - 1711*T1^3*T2^3 + 
     2033*T1^4*T2^3 - 1220*T1^5*T2^3 - 275*T1^6*T2^3 + 1178*T1^7*T2^3 - 
     1081*T1^8*T2^3 + 415*T1^9*T2^3 - 75*T1^11*T2^3 + 152*T2^4 - 
     1040*T1^2*T2^4 + 2033*T1^3*T2^4 - 1370*T1^4*T2^4 - 755*T1^5*T2^4 + 
     2308*T1^6*T2^4 - 1895*T1^7*T2^4 + 150*T1^8*T2^4 + 893*T1^9*T2^4 - 
     584*T1^10*T2^4 + 76*T1^12*T2^4 - 120*T2^5 + 1142*T1^2*T2^5 - 
     1220*T1^3*T2^5 - 755*T1^4*T2^5 + 3085*T1^5*T2^5 - 2539*T1^6*T2^5 + 
     71*T1^7*T2^5 + 2245*T1^8*T2^5 - 1640*T1^9*T2^5 - 5*T1^10*T2^5 + 
     602*T1^11*T2^5 - 45*T1^13*T2^5 + 48*T2^6 - 884*T1^2*T2^6 - 
     275*T1^3*T2^6 + 2308*T1^4*T2^6 - 2539*T1^5*T2^6 - 1051*T1^6*T2^6 + 
     3643*T1^7*T2^6 - 3763*T1^8*T2^6 + 341*T1^9*T2^6 + 1396*T1^10*T2^6 - 
     815*T1^11*T2^6 - 440*T1^12*T2^6 + 12*T1^14*T2^6 + 505*T1^2*T2^7 + 
     1178*T1^3*T2^7 - 1895*T1^4*T2^7 + 71*T1^5*T2^7 + 3643*T1^6*T2^7 - 
     3253*T1^7*T2^7 + 767*T1^8*T2^7 + 2788*T1^9*T2^7 - 1999*T1^10*T2^7 + 
     10*T1^11*T2^7 + 893*T1^12*T2^7 + 235*T1^13*T2^7 - 8*T2^8 - 
     164*T1^2*T2^8 - 1081*T1^3*T2^8 + 150*T1^4*T2^8 + 2245*T1^5*T2^8 - 
     3763*T1^6*T2^8 + 767*T1^7*T2^8 + 1800*T1^8*T2^8 - 2923*T1^9*T2^8 + 
     59*T1^10*T2^8 + 1375*T1^11*T2^8 - 866*T1^12*T2^8 - 511*T1^13*T2^8 - 
     68*T1^14*T2^8 + 415*T1^3*T2^9 + 893*T1^4*T2^9 - 1640*T1^5*T2^9 + 
     341*T1^6*T2^9 + 2788*T1^7*T2^9 - 2923*T1^8*T2^9 + 1097*T1^9*T2^9 + 
     1933*T1^10*T2^9 - 1729*T1^11*T2^9 + 265*T1^12*T2^9 + 608*T1^13*T2^9 + 
     145*T1^14*T2^9 + 36*T1^2*T2^10 - 584*T1^4*T2^10 - 5*T1^5*T2^10 + 
     1396*T1^6*T2^10 - 1999*T1^7*T2^10 + 59*T1^8*T2^10 + 1933*T1^9*T2^10 - 
     2653*T1^10*T2^10 + 881*T1^11*T2^10 + 484*T1^12*T2^10 - 545*T1^13*T2^10 - 
     140*T1^14*T2^10 - 75*T1^3*T2^11 + 602*T1^5*T2^11 - 815*T1^6*T2^11 + 
     10*T1^7*T2^11 + 1375*T1^8*T2^11 - 1729*T1^9*T2^11 + 881*T1^10*T2^11 + 
     535*T1^11*T2^11 - 875*T1^12*T2^11 + 400*T1^13*T2^11 + 62*T1^14*T2^11 + 
     76*T1^4*T2^12 - 440*T1^6*T2^12 + 893*T1^7*T2^12 - 866*T1^8*T2^12 + 
     265*T1^9*T2^12 + 484*T1^10*T2^12 - 875*T1^11*T2^12 + 654*T1^12*T2^12 - 
     247*T1^13*T2^12 + 16*T1^14*T2^12 - 45*T1^5*T2^13 + 235*T1^7*T2^13 - 
     511*T1^8*T2^13 + 608*T1^9*T2^13 - 545*T1^10*T2^13 + 400*T1^11*T2^13 - 
     247*T1^12*T2^13 + 119*T1^13*T2^13 - 35*T1^14*T2^13 + 12*T1^6*T2^14 - 
     68*T1^8*T2^14 + 145*T1^9*T2^14 - 140*T1^10*T2^14 + 62*T1^11*T2^14 + 
     16*T1^12*T2^14 - 35*T1^13*T2^14 + 16*T1^14*T2^14)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 137] -> 
  {(1 - 4*T + 12*T^2 - 23*T^3 + 29*T^4 - 23*T^5 + 12*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 48*T1^2 + 92*T1^3 - 116*T1^4 + 92*T1^5 - 48*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 144*T1^2*T2 - 224*T1^3*T2 + 188*T1^4*T2 - 
     20*T1^5*T2 - 84*T1^6*T2 + 80*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     48*T2^2 + 144*T1*T2^2 - 406*T1^2*T2^2 + 616*T1^3*T2^2 - 562*T1^4*T2^2 + 
     248*T1^5*T2^2 - 154*T1^6*T2^2 + 160*T1^7*T2^2 - 142*T1^8*T2^2 + 
     48*T1^9*T2^2 - 24*T1^10*T2^2 + 92*T2^3 - 224*T1*T2^3 + 616*T1^2*T2^3 - 
     729*T1^3*T2^3 + 401*T1^4*T2^3 + 131*T1^5*T2^3 + 50*T1^6*T2^3 - 
     196*T1^7*T2^3 + 159*T1^8*T2^3 + 28*T1^9*T2^3 + 4*T1^10*T2^3 + 
     23*T1^11*T2^3 - 116*T2^4 + 188*T1*T2^4 - 562*T1^2*T2^4 + 401*T1^3*T2^4 - 
     129*T1^4*T2^4 + 217*T1^5*T2^4 - 1299*T1^6*T2^4 + 1141*T1^7*T2^4 - 
     377*T1^8*T2^4 - 243*T1^9*T2^4 + 94*T1^10*T2^4 - 92*T1^11*T2^4 + 
     92*T2^5 - 20*T1*T2^5 + 248*T1^2*T2^5 + 131*T1^3*T2^5 + 217*T1^4*T2^5 - 
     1399*T1^5*T2^5 + 2816*T1^6*T2^5 - 1196*T1^7*T2^5 - 463*T1^8*T2^5 + 
     818*T1^9*T2^5 - 20*T1^10*T2^5 - 16*T1^11*T2^5 + 92*T1^12*T2^5 - 
     23*T1^13*T2^5 - 48*T2^6 - 84*T1*T2^6 - 154*T1^2*T2^6 + 50*T1^3*T2^6 - 
     1299*T1^4*T2^6 + 2816*T1^5*T2^6 - 2742*T1^6*T2^6 - 1162*T1^7*T2^6 + 
     2890*T1^8*T2^6 - 1760*T1^9*T2^6 - 19*T1^10*T2^6 + 26*T1^11*T2^6 - 
     66*T1^12*T2^6 - 4*T1^13*T2^6 + 24*T1^14*T2^6 + 16*T2^7 + 80*T1*T2^7 + 
     160*T1^2*T2^7 - 196*T1^3*T2^7 + 1141*T1^4*T2^7 - 1196*T1^5*T2^7 - 
     1162*T1^6*T2^7 + 5207*T1^7*T2^7 - 4197*T1^8*T2^7 + 283*T1^9*T2^7 + 
     1688*T1^10*T2^7 - 752*T1^11*T2^7 + 213*T1^12*T2^7 - 44*T1^13*T2^7 - 
     48*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 142*T1^2*T2^8 + 
     159*T1^3*T2^8 - 377*T1^4*T2^8 - 463*T1^5*T2^8 + 2890*T1^6*T2^8 - 
     4197*T1^7*T2^8 + 348*T1^8*T2^8 + 3869*T1^9*T2^8 - 3196*T1^10*T2^8 + 
     527*T1^11*T2^8 + 327*T1^12*T2^8 - 119*T1^13*T2^8 + 146*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 48*T1^2*T2^9 + 
     28*T1^3*T2^9 - 243*T1^4*T2^9 + 818*T1^5*T2^9 - 1760*T1^6*T2^9 + 
     283*T1^7*T2^9 + 3869*T1^8*T2^9 - 5535*T1^9*T2^9 + 1728*T1^10*T2^9 + 
     1124*T1^11*T2^9 - 1075*T1^12*T2^9 + 166*T1^13*T2^9 - 176*T1^14*T2^9 - 
     80*T1^15*T2^9 - 16*T1^16*T2^9 - 24*T1^2*T2^10 + 4*T1^3*T2^10 + 
     94*T1^4*T2^10 - 20*T1^5*T2^10 - 19*T1^6*T2^10 + 1688*T1^7*T2^10 - 
     3196*T1^8*T2^10 + 1728*T1^9*T2^10 + 2436*T1^10*T2^10 - 
     2888*T1^11*T2^10 + 1261*T1^12*T2^10 - 44*T1^13*T2^10 + 182*T1^14*T2^10 + 
     84*T1^15*T2^10 + 48*T1^16*T2^10 + 23*T1^3*T2^11 - 92*T1^4*T2^11 - 
     16*T1^5*T2^11 + 26*T1^6*T2^11 - 752*T1^7*T2^11 + 527*T1^8*T2^11 + 
     1124*T1^9*T2^11 - 2888*T1^10*T2^11 + 1463*T1^11*T2^11 - 
     151*T1^12*T2^11 - 125*T1^13*T2^11 - 280*T1^14*T2^11 + 20*T1^15*T2^11 - 
     92*T1^16*T2^11 + 92*T1^5*T2^12 - 66*T1^6*T2^12 + 213*T1^7*T2^12 + 
     327*T1^8*T2^12 - 1075*T1^9*T2^12 + 1261*T1^10*T2^12 - 151*T1^11*T2^12 + 
     79*T1^12*T2^12 - 431*T1^13*T2^12 + 590*T1^14*T2^12 - 188*T1^15*T2^12 + 
     116*T1^16*T2^12 - 23*T1^5*T2^13 - 4*T1^6*T2^13 - 44*T1^7*T2^13 - 
     119*T1^8*T2^13 + 166*T1^9*T2^13 - 44*T1^10*T2^13 - 125*T1^11*T2^13 - 
     431*T1^12*T2^13 + 769*T1^13*T2^13 - 632*T1^14*T2^13 + 224*T1^15*T2^13 - 
     92*T1^16*T2^13 + 24*T1^6*T2^14 - 48*T1^7*T2^14 + 146*T1^8*T2^14 - 
     176*T1^9*T2^14 + 182*T1^10*T2^14 - 280*T1^11*T2^14 + 590*T1^12*T2^14 - 
     632*T1^13*T2^14 + 410*T1^14*T2^14 - 144*T1^15*T2^14 + 48*T1^16*T2^14 - 
     12*T1^7*T2^15 + 32*T1^8*T2^15 - 80*T1^9*T2^15 + 84*T1^10*T2^15 + 
     20*T1^11*T2^15 - 188*T1^12*T2^15 + 224*T1^13*T2^15 - 144*T1^14*T2^15 + 
     52*T1^15*T2^15 - 16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 
     48*T1^10*T2^16 - 92*T1^11*T2^16 + 116*T1^12*T2^16 - 92*T1^13*T2^16 + 
     48*T1^14*T2^16 - 16*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 138] -> 
  {-((1 - 4*T + 4*T^2 + T^3 - 5*T^4 + T^5 + 4*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 28*T1^2 - 7*T1^3 + 35*T1^4 - 7*T1^5 - 28*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 + 16*T1^2*T2 + 124*T1^3*T2 - 116*T1^4*T2 - 
      92*T1^5*T2 + 136*T1^6*T2 - 16*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      28*T2^2 + 16*T1*T2^2 + 248*T1^2*T2^2 - 324*T1^3*T2^2 - 43*T1^4*T2^2 + 
      436*T1^5*T2^2 - 115*T1^6*T2^2 - 284*T1^7*T2^2 + 272*T1^8*T2^2 - 
      16*T1^9*T2^2 - 20*T1^10*T2^2 - 7*T2^3 + 124*T1*T2^3 - 324*T1^2*T2^3 + 
      41*T1^3*T2^3 + 471*T1^4*T2^3 - 421*T1^5*T2^3 - 334*T1^6*T2^3 + 
      516*T1^7*T2^3 - 87*T1^8*T2^3 - 232*T1^9*T2^3 + 96*T1^10*T2^3 - 
      4*T1^11*T2^3 + 35*T2^4 - 116*T1*T2^4 - 43*T1^2*T2^4 + 471*T1^3*T2^4 - 
      501*T1^4*T2^4 - 179*T1^5*T2^4 + 653*T1^6*T2^4 - 207*T1^7*T2^4 - 
      421*T1^8*T2^4 + 427*T1^9*T2^4 - 91*T1^10*T2^4 - 44*T1^11*T2^4 + 
      15*T1^12*T2^4 - 7*T2^5 - 92*T1*T2^5 + 436*T1^2*T2^5 - 421*T1^3*T2^5 - 
      179*T1^4*T2^5 + 737*T1^5*T2^5 - 289*T1^6*T2^5 - 453*T1^7*T2^5 + 
      665*T1^8*T2^5 - 172*T1^9*T2^5 - 196*T1^10*T2^5 + 220*T1^11*T2^5 - 
      52*T1^12*T2^5 - 2*T1^13*T2^5 - 28*T2^6 + 136*T1*T2^6 - 115*T1^2*T2^6 - 
      334*T1^3*T2^6 + 653*T1^4*T2^6 - 289*T1^5*T2^6 - 465*T1^6*T2^6 + 
      553*T1^7*T2^6 - 113*T1^8*T2^6 - 369*T1^9*T2^6 + 397*T1^10*T2^6 - 
      214*T1^11*T2^6 + 5*T1^12*T2^6 + 24*T1^13*T2^6 - 4*T1^14*T2^6 + 
      28*T2^7 - 16*T1*T2^7 - 284*T1^2*T2^7 + 516*T1^3*T2^7 - 207*T1^4*T2^7 - 
      453*T1^5*T2^7 + 553*T1^6*T2^7 + 11*T1^7*T2^7 - 495*T1^8*T2^7 + 
      444*T1^9*T2^7 - 121*T1^10*T2^7 - 74*T1^11*T2^7 + 115*T1^12*T2^7 - 
      64*T1^13*T2^7 + 16*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 272*T1^2*T2^8 - 
      87*T1^3*T2^8 - 421*T1^4*T2^8 + 665*T1^5*T2^8 - 113*T1^6*T2^8 - 
      495*T1^7*T2^8 + 468*T1^8*T2^8 + 63*T1^9*T2^8 - 359*T1^10*T2^8 + 
      263*T1^11*T2^8 - 117*T1^12*T2^8 + 51*T1^13*T2^8 - 16*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 - 16*T1^2*T2^9 - 232*T1^3*T2^9 + 
      427*T1^4*T2^9 - 172*T1^5*T2^9 - 369*T1^6*T2^9 + 444*T1^7*T2^9 + 
      63*T1^8*T2^9 - 443*T1^9*T2^9 + 335*T1^10*T2^9 - 37*T1^11*T2^9 - 
      39*T1^12*T2^9 + 26*T1^13*T2^9 - 12*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 20*T1^2*T2^10 + 96*T1^3*T2^10 - 91*T1^4*T2^10 - 
      196*T1^5*T2^10 + 397*T1^6*T2^10 - 121*T1^7*T2^10 - 359*T1^8*T2^10 + 
      335*T1^9*T2^10 - 7*T1^10*T2^10 - 201*T1^11*T2^10 + 141*T1^12*T2^10 - 
      76*T1^13*T2^10 + 29*T1^14*T2^10 - 16*T1^15*T2^10 + 4*T1^16*T2^10 - 
      4*T1^3*T2^11 - 44*T1^4*T2^11 + 220*T1^5*T2^11 - 214*T1^6*T2^11 - 
      74*T1^7*T2^11 + 263*T1^8*T2^11 - 37*T1^9*T2^11 - 201*T1^10*T2^11 + 
      191*T1^11*T2^11 - 67*T1^12*T2^11 + 11*T1^13*T2^11 + 4*T1^14*T2^11 - 
      4*T1^15*T2^11 + T1^16*T2^11 + 15*T1^4*T2^12 - 52*T1^5*T2^12 + 
      5*T1^6*T2^12 + 115*T1^7*T2^12 - 117*T1^8*T2^12 - 39*T1^9*T2^12 + 
      141*T1^10*T2^12 - 67*T1^11*T2^12 - 37*T1^12*T2^12 + 71*T1^13*T2^12 - 
      43*T1^14*T2^12 + 20*T1^15*T2^12 - 5*T1^16*T2^12 - 2*T1^5*T2^13 + 
      24*T1^6*T2^13 - 64*T1^7*T2^13 + 51*T1^8*T2^13 + 26*T1^9*T2^13 - 
      76*T1^10*T2^13 + 11*T1^11*T2^13 + 71*T1^12*T2^13 - 77*T1^13*T2^13 + 
      28*T1^14*T2^13 - 4*T1^15*T2^13 + T1^16*T2^13 - 4*T1^6*T2^14 + 
      16*T1^7*T2^14 - 16*T1^8*T2^14 - 12*T1^9*T2^14 + 29*T1^10*T2^14 + 
      4*T1^11*T2^14 - 43*T1^12*T2^14 + 28*T1^13*T2^14 + 8*T1^14*T2^14 - 
      16*T1^15*T2^14 + 4*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      16*T1^10*T2^15 - 4*T1^11*T2^15 + 20*T1^12*T2^15 - 4*T1^13*T2^15 - 
      16*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 4*T1^10*T2^16 + T1^11*T2^16 - 5*T1^12*T2^16 + 
      T1^13*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 139] -> 
  {(1 - 5*T + 11*T^2 - 12*T^3 + 11*T^4 - 12*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 72*T1^3 - 66*T1^4 + 72*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 85*T1^3*T2 + 30*T1^4*T2 - 
     85*T1^5*T2 + 30*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 363*T1^3*T2^2 + 297*T1^4*T2^2 - 
     66*T1^5*T2^2 + 297*T1^6*T2^2 - 517*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 72*T2^3 - 85*T1*T2^3 - 363*T1^2*T2^3 + 
     1079*T1^3*T2^3 - 269*T1^4*T2^3 - 82*T1^5*T2^3 - 519*T1^6*T2^3 + 
     420*T1^7*T2^3 + 667*T1^8*T2^3 - 429*T1^9*T2^3 + 40*T1^10*T2^3 + 
     36*T1^11*T2^3 - 66*T2^4 + 30*T1*T2^4 + 297*T1^2*T2^4 - 269*T1^3*T2^4 - 
     1480*T1^4*T2^4 + 1343*T1^5*T2^4 - 426*T1^6*T2^4 + 1035*T1^7*T2^4 - 
     1880*T1^8*T2^4 + 403*T1^9*T2^4 + 181*T1^10*T2^4 - 70*T1^11*T2^4 - 
     22*T1^12*T2^4 + 72*T2^5 - 85*T1*T2^5 - 66*T1^2*T2^5 - 82*T1^3*T2^5 + 
     1343*T1^4*T2^5 - 389*T1^5*T2^5 - 329*T1^6*T2^5 - 530*T1^7*T2^5 + 
     787*T1^8*T2^5 + 716*T1^9*T2^5 - 385*T1^10*T2^5 - 33*T1^11*T2^5 + 
     50*T1^12*T2^5 + 12*T1^13*T2^5 - 66*T2^6 + 30*T1*T2^6 + 297*T1^2*T2^6 - 
     519*T1^3*T2^6 - 426*T1^4*T2^6 - 329*T1^5*T2^6 + 698*T1^6*T2^6 + 
     94*T1^7*T2^6 - 322*T1^8*T2^6 - 415*T1^9*T2^6 - 160*T1^10*T2^6 + 
     119*T1^11*T2^6 + 65*T1^12*T2^6 - 60*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     517*T1^2*T2^7 + 420*T1^3*T2^7 + 1035*T1^4*T2^7 - 530*T1^5*T2^7 + 
     94*T1^6*T2^7 - 916*T1^7*T2^7 + 966*T1^8*T2^7 - 16*T1^9*T2^7 - 
     99*T1^10*T2^7 + 386*T1^11*T2^7 - 337*T1^12*T2^7 + 77*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     667*T1^3*T2^8 - 1880*T1^4*T2^8 + 787*T1^5*T2^8 - 322*T1^6*T2^8 + 
     966*T1^7*T2^8 - 120*T1^8*T2^8 - 962*T1^9*T2^8 + 790*T1^10*T2^8 - 
     587*T1^11*T2^8 + 292*T1^12*T2^8 + 89*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     429*T1^3*T2^9 + 403*T1^4*T2^9 + 716*T1^5*T2^9 - 415*T1^6*T2^9 - 
     16*T1^7*T2^9 - 962*T1^8*T2^9 + 920*T1^9*T2^9 - 126*T1^10*T2^9 + 
     16*T1^11*T2^9 + 67*T1^12*T2^9 - 354*T1^13*T2^9 + 165*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 + 40*T1^3*T2^10 + 
     181*T1^4*T2^10 - 385*T1^5*T2^10 - 160*T1^6*T2^10 - 99*T1^7*T2^10 + 
     790*T1^8*T2^10 - 126*T1^9*T2^10 - 230*T1^10*T2^10 - 185*T1^11*T2^10 + 
     106*T1^12*T2^10 + 253*T1^13*T2^10 - 51*T1^14*T2^10 - 50*T1^15*T2^10 + 
     22*T1^16*T2^10 + 36*T1^3*T2^11 - 70*T1^4*T2^11 - 33*T1^5*T2^11 + 
     119*T1^6*T2^11 + 386*T1^7*T2^11 - 587*T1^8*T2^11 + 16*T1^9*T2^11 - 
     185*T1^10*T2^11 + 589*T1^11*T2^11 - 241*T1^12*T2^11 - 184*T1^13*T2^11 + 
     65*T1^15*T2^11 - 24*T1^16*T2^11 - 22*T1^4*T2^12 + 50*T1^5*T2^12 + 
     65*T1^6*T2^12 - 337*T1^7*T2^12 + 292*T1^8*T2^12 + 67*T1^9*T2^12 + 
     106*T1^10*T2^12 - 241*T1^11*T2^12 - 108*T1^12*T2^12 + 335*T1^13*T2^12 - 
     51*T1^14*T2^12 - 50*T1^15*T2^12 + 22*T1^16*T2^12 + 12*T1^5*T2^13 - 
     60*T1^6*T2^13 + 77*T1^7*T2^13 + 89*T1^8*T2^13 - 354*T1^9*T2^13 + 
     253*T1^10*T2^13 - 184*T1^11*T2^13 + 335*T1^12*T2^13 - 323*T1^13*T2^13 + 
     11*T1^14*T2^13 + 65*T1^15*T2^13 - 24*T1^16*T2^13 + 25*T1^7*T2^14 - 
     102*T1^8*T2^14 + 165*T1^9*T2^14 - 51*T1^10*T2^14 - 51*T1^12*T2^14 + 
     11*T1^13*T2^14 + 118*T1^14*T2^14 - 85*T1^15*T2^14 + 22*T1^16*T2^14 - 
     5*T1^7*T2^15 + 15*T1^8*T2^15 - 5*T1^9*T2^15 - 50*T1^10*T2^15 + 
     65*T1^11*T2^15 - 50*T1^12*T2^15 + 65*T1^13*T2^15 - 85*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     22*T1^10*T2^16 - 24*T1^11*T2^16 + 22*T1^12*T2^16 - 24*T1^13*T2^16 + 
     22*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 140] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 108*T1^2 + 148*T1^3 - 108*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     301*T1*T2 + 739*T1^2*T2 - 606*T1^3*T2 - 30*T1^4*T2 + 415*T1^5*T2 - 
     211*T1^6*T2 + 27*T1^7*T2 - 108*T2^2 + 739*T1*T2^2 - 738*T1^2*T2^2 - 
     2342*T1^3*T2^2 + 4966*T1^4*T2^2 - 3854*T1^5*T2^2 + 666*T1^6*T2^2 + 
     253*T1^7*T2^2 - 54*T1^8*T2^2 + 148*T2^3 - 606*T1*T2^3 - 2342*T1^2*T2^3 + 
     10686*T1^3*T2^3 - 10575*T1^4*T2^3 + 981*T1^5*T2^3 + 6156*T1^6*T2^3 - 
     2909*T1^7*T2^3 + 150*T1^8*T2^3 + 37*T1^9*T2^3 - 108*T2^4 - 30*T1*T2^4 + 
     4966*T1^2*T2^4 - 10575*T1^3*T2^4 - 4193*T1^4*T2^4 + 21889*T1^5*T2^4 - 
     20033*T1^6*T2^4 + 2745*T1^7*T2^4 + 1888*T1^8*T2^4 - 336*T1^9*T2^4 + 
     36*T2^5 + 415*T1*T2^5 - 3854*T1^2*T2^5 + 981*T1^3*T2^5 + 
     21889*T1^4*T2^5 - 29125*T1^5*T2^5 + 9017*T1^6*T2^5 + 12412*T1^7*T2^5 - 
     7047*T1^8*T2^5 + 493*T1^9*T2^5 + 91*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     211*T1*T2^6 + 666*T1^2*T2^6 + 6156*T1^3*T2^6 - 20033*T1^4*T2^6 + 
     9017*T1^5*T2^6 + 15972*T1^6*T2^6 - 23437*T1^7*T2^6 + 6049*T1^8*T2^6 + 
     1560*T1^9*T2^6 - 630*T1^10*T2^6 + 59*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 253*T1^2*T2^7 - 2909*T1^3*T2^7 + 2745*T1^4*T2^7 + 
     12412*T1^5*T2^7 - 23437*T1^6*T2^7 + 14705*T1^7*T2^7 + 2935*T1^8*T2^7 - 
     5283*T1^9*T2^7 + 1438*T1^10*T2^7 - 71*T1^11*T2^7 - 18*T1^12*T2^7 - 
     54*T1^2*T2^8 + 150*T1^3*T2^8 + 1888*T1^4*T2^8 - 7047*T1^5*T2^8 + 
     6049*T1^6*T2^8 + 2935*T1^7*T2^8 - 9791*T1^8*T2^8 + 6273*T1^9*T2^8 - 
     1190*T1^10*T2^8 - 156*T1^11*T2^8 + 54*T1^12*T2^8 + 37*T1^3*T2^9 - 
     336*T1^4*T2^9 + 493*T1^5*T2^9 + 1560*T1^6*T2^9 - 5283*T1^7*T2^9 + 
     6273*T1^8*T2^9 - 2970*T1^9*T2^9 - 74*T1^10*T2^9 + 420*T1^11*T2^9 - 
     74*T1^12*T2^9 + 91*T1^5*T2^10 - 630*T1^6*T2^10 + 1438*T1^7*T2^10 - 
     1190*T1^8*T2^10 - 74*T1^9*T2^10 + 774*T1^10*T2^10 - 395*T1^11*T2^10 + 
     54*T1^12*T2^10 - 9*T1^5*T2^11 + 59*T1^6*T2^11 - 71*T1^7*T2^11 - 
     156*T1^8*T2^11 + 420*T1^9*T2^11 - 395*T1^10*T2^11 + 149*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 54*T1^8*T2^12 - 
     74*T1^9*T2^12 + 54*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 141] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 39*T1^2 + 57*T1^3 - 39*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 146*T1^2*T2 - 157*T1^3*T2 + 3*T1^4*T2 + 56*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 39*T2^2 + 146*T1*T2^2 - 287*T1^2*T2^2 + 
      197*T1^3*T2^2 + 245*T1^4*T2^2 - 167*T1^5*T2^2 + 25*T1^6*T2^2 + 
      16*T1^7*T2^2 - 13*T1^8*T2^2 + 57*T2^3 - 157*T1*T2^3 + 197*T1^2*T2^3 + 
      222*T1^3*T2^3 - 911*T1^4*T2^3 + 143*T1^5*T2^3 + 192*T1^6*T2^3 - 
      154*T1^7*T2^3 + 63*T1^8*T2^3 - 39*T2^4 + 3*T1*T2^4 + 245*T1^2*T2^4 - 
      911*T1^3*T2^4 + 1059*T1^4*T2^4 + 961*T1^5*T2^4 - 977*T1^6*T2^4 + 
      381*T1^7*T2^4 - 29*T1^8*T2^4 - 67*T1^9*T2^4 + 13*T1^10*T2^4 + 15*T2^5 + 
      56*T1*T2^5 - 167*T1^2*T2^5 + 143*T1^3*T2^5 + 961*T1^4*T2^5 - 
      3085*T1^5*T2^5 + 1459*T1^6*T2^5 + 90*T1^7*T2^5 - 435*T1^8*T2^5 + 
      236*T1^9*T2^5 - 14*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      25*T1^2*T2^6 + 192*T1^3*T2^6 - 977*T1^4*T2^6 + 1459*T1^5*T2^6 + 
      1032*T1^6*T2^6 - 2103*T1^7*T2^6 + 1257*T1^8*T2^6 - 312*T1^9*T2^6 - 
      59*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      16*T1^2*T2^7 - 154*T1^3*T2^7 + 381*T1^4*T2^7 + 90*T1^5*T2^7 - 
      2103*T1^6*T2^7 + 2441*T1^7*T2^7 - 781*T1^8*T2^7 - 197*T1^9*T2^7 + 
      249*T1^10*T2^7 - 54*T1^11*T2^7 - 15*T1^12*T2^7 - 13*T1^2*T2^8 + 
      63*T1^3*T2^8 - 29*T1^4*T2^8 - 435*T1^5*T2^8 + 1257*T1^6*T2^8 - 
      781*T1^7*T2^8 - 779*T1^8*T2^8 + 857*T1^9*T2^8 - 303*T1^10*T2^8 - 
      7*T1^11*T2^8 + 39*T1^12*T2^8 - 67*T1^4*T2^9 + 236*T1^5*T2^9 - 
      312*T1^6*T2^9 - 197*T1^7*T2^9 + 857*T1^8*T2^9 - 342*T1^9*T2^9 - 
      115*T1^10*T2^9 + 153*T1^11*T2^9 - 57*T1^12*T2^9 + 13*T1^4*T2^10 - 
      14*T1^5*T2^10 - 59*T1^6*T2^10 + 249*T1^7*T2^10 - 303*T1^8*T2^10 - 
      115*T1^9*T2^10 + 253*T1^10*T2^10 - 144*T1^11*T2^10 + 39*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 54*T1^7*T2^11 - 7*T1^8*T2^11 + 
      153*T1^9*T2^11 - 144*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 39*T1^8*T2^12 - 57*T1^9*T2^12 + 
      39*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 142] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 40*T1^2 + 44*T1^3 - 40*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 125*T1^2*T2 - 70*T1^3*T2 + 35*T1^4*T2 + 50*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 40*T2^2 + 125*T1*T2^2 - 39*T1^2*T2^2 - 
     234*T1^3*T2^2 + 265*T1^4*T2^2 - 354*T1^5*T2^2 + 141*T1^6*T2^2 + 
     25*T1^7*T2^2 - 20*T1^8*T2^2 + 44*T2^3 - 70*T1*T2^3 - 234*T1^2*T2^3 + 
     599*T1^3*T2^3 - 333*T1^4*T2^3 + 222*T1^5*T2^3 + 245*T1^6*T2^3 - 
     264*T1^7*T2^3 + 45*T1^8*T2^3 + 11*T1^9*T2^3 - 40*T2^4 + 35*T1*T2^4 + 
     265*T1^2*T2^4 - 333*T1^3*T2^4 - 372*T1^4*T2^4 + 538*T1^5*T2^4 - 
     672*T1^6*T2^4 + 217*T1^7*T2^4 + 115*T1^8*T2^4 - 55*T1^9*T2^4 + 20*T2^5 + 
     50*T1*T2^5 - 354*T1^2*T2^5 + 222*T1^3*T2^5 + 538*T1^4*T2^5 - 
     339*T1^5*T2^5 - 129*T1^6*T2^5 + 438*T1^7*T2^5 - 343*T1^8*T2^5 + 
     36*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     141*T1^2*T2^6 + 245*T1^3*T2^6 - 672*T1^4*T2^6 - 129*T1^5*T2^6 + 
     804*T1^6*T2^6 - 459*T1^7*T2^6 + 88*T1^8*T2^6 + 179*T1^9*T2^6 - 
     99*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     25*T1^2*T2^7 - 264*T1^3*T2^7 + 217*T1^4*T2^7 + 438*T1^5*T2^7 - 
     459*T1^6*T2^7 - 249*T1^7*T2^7 + 338*T1^8*T2^7 - 348*T1^9*T2^7 + 
     126*T1^10*T2^7 - 10*T1^12*T2^7 - 20*T1^2*T2^8 + 45*T1^3*T2^8 + 
     115*T1^4*T2^8 - 343*T1^5*T2^8 + 88*T1^6*T2^8 + 338*T1^7*T2^8 - 
     212*T1^8*T2^8 + 207*T1^9*T2^8 - 35*T1^10*T2^8 - 45*T1^11*T2^8 + 
     20*T1^12*T2^8 + 11*T1^3*T2^9 - 55*T1^4*T2^9 + 36*T1^5*T2^9 + 
     179*T1^6*T2^9 - 348*T1^7*T2^9 + 207*T1^8*T2^9 - 175*T1^9*T2^9 + 
     6*T1^10*T2^9 + 60*T1^11*T2^9 - 22*T1^12*T2^9 + 25*T1^5*T2^10 - 
     99*T1^6*T2^10 + 126*T1^7*T2^10 - 35*T1^8*T2^10 + 6*T1^9*T2^10 + 
     81*T1^10*T2^10 - 75*T1^11*T2^10 + 20*T1^12*T2^10 - 5*T1^5*T2^11 + 
     15*T1^6*T2^11 - 45*T1^8*T2^11 + 60*T1^9*T2^11 - 75*T1^10*T2^11 + 
     45*T1^11*T2^11 - 10*T1^12*T2^11 + 2*T1^6*T2^12 - 10*T1^7*T2^12 + 
     20*T1^8*T2^12 - 22*T1^9*T2^12 + 20*T1^10*T2^12 - 10*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 143] -> 
  {-((1 - 3*T + 2*T^2 - T^3 + 2*T^4 - 3*T^5 + T^6)/T^3), 
   -((-5 + 15*T1 - 10*T1^2 + 5*T1^3 - 10*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 - 6*T1^2*T2 + 9*T1^3*T2 + 18*T1^4*T2 - 21*T1^5*T2 - 
      21*T1^6*T2 + 12*T1^7*T2 - 10*T2^2 - 6*T1*T2^2 + 79*T1^2*T2^2 - 
      34*T1^3*T2^2 - 11*T1^4*T2^2 - 26*T1^5*T2^2 + 83*T1^6*T2^2 - 
      18*T1^7*T2^2 - 6*T1^8*T2^2 + 5*T2^3 + 9*T1*T2^3 - 34*T1^2*T2^3 - 
      29*T1^3*T2^3 + 30*T1^4*T2^3 + 33*T1^5*T2^3 - 53*T1^6*T2^3 - 
      16*T1^7*T2^3 + 12*T1^8*T2^3 + 2*T1^9*T2^3 - 10*T2^4 + 18*T1*T2^4 - 
      11*T1^2*T2^4 + 30*T1^3*T2^4 - 30*T1^4*T2^4 + 10*T1^5*T2^4 - 
      10*T1^6*T2^4 + 28*T1^7*T2^4 - 13*T1^8*T2^4 - 2*T1^10*T2^4 + 15*T2^5 - 
      21*T1*T2^5 - 26*T1^2*T2^5 + 33*T1^3*T2^5 + 10*T1^4*T2^5 + 3*T1^5*T2^5 - 
      21*T1^6*T2^5 + 6*T1^7*T2^5 + 20*T1^8*T2^5 - 4*T1^9*T2^5 + 
      6*T1^10*T2^5 - 5*T2^6 - 21*T1*T2^6 + 83*T1^2*T2^6 - 53*T1^3*T2^6 - 
      10*T1^4*T2^6 - 21*T1^5*T2^6 + 12*T1^6*T2^6 + 13*T1^7*T2^6 - 
      26*T1^8*T2^6 - 11*T1^9*T2^6 - 5*T1^10*T2^6 - 3*T1^11*T2^6 + 
      T1^12*T2^6 + 12*T1*T2^7 - 18*T1^2*T2^7 - 16*T1^3*T2^7 + 28*T1^4*T2^7 + 
      6*T1^5*T2^7 + 13*T1^6*T2^7 - 11*T1^7*T2^7 + 2*T1^8*T2^7 + 
      15*T1^9*T2^7 + 6*T1^10*T2^7 + 9*T1^11*T2^7 - 3*T1^12*T2^7 - 
      6*T1^2*T2^8 + 12*T1^3*T2^8 - 13*T1^4*T2^8 + 20*T1^5*T2^8 - 
      26*T1^6*T2^8 + 2*T1^7*T2^8 - 6*T1^8*T2^8 + 18*T1^9*T2^8 - 
      15*T1^10*T2^8 - 6*T1^11*T2^8 + 2*T1^12*T2^8 + 2*T1^3*T2^9 - 
      4*T1^5*T2^9 - 11*T1^6*T2^9 + 15*T1^7*T2^9 + 18*T1^8*T2^9 - 
      35*T1^9*T2^9 + 14*T1^10*T2^9 + 3*T1^11*T2^9 - T1^12*T2^9 - 
      2*T1^4*T2^10 + 6*T1^5*T2^10 - 5*T1^6*T2^10 + 6*T1^7*T2^10 - 
      15*T1^8*T2^10 + 14*T1^9*T2^10 - T1^10*T2^10 - 6*T1^11*T2^10 + 
      2*T1^12*T2^10 - 3*T1^6*T2^11 + 9*T1^7*T2^11 - 6*T1^8*T2^11 + 
      3*T1^9*T2^11 - 6*T1^10*T2^11 + 9*T1^11*T2^11 - 3*T1^12*T2^11 + 
      T1^6*T2^12 - 3*T1^7*T2^12 + 2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 
      3*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 144] -> {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-2 + 8*T1 - 10*T1^2 + 8*T1^3 - 2*T1^4 + 8*T2 - 29*T1*T2 + 36*T1^2*T2 - 
      27*T1^3*T2 + 6*T1^4*T2 + T1^5*T2 - 10*T2^2 + 36*T1*T2^2 - 
      40*T1^2*T2^2 + 11*T1^3*T2^2 + 20*T1^4*T2^2 - 24*T1^5*T2^2 + 
      5*T1^6*T2^2 + 8*T2^3 - 27*T1*T2^3 + 11*T1^2*T2^3 + 60*T1^3*T2^3 - 
      80*T1^4*T2^3 + 51*T1^5*T2^3 + 16*T1^6*T2^3 - 9*T1^7*T2^3 - 2*T2^4 + 
      6*T1*T2^4 + 20*T1^2*T2^4 - 80*T1^3*T2^4 + 12*T1^4*T2^4 + 56*T1^5*T2^4 - 
      110*T1^6*T2^4 + 22*T1^7*T2^4 + 4*T1^8*T2^4 + T1*T2^5 - 24*T1^2*T2^5 + 
      51*T1^3*T2^5 + 56*T1^4*T2^5 - 84*T1^5*T2^5 + 91*T1^6*T2^5 + 
      19*T1^7*T2^5 - 16*T1^8*T2^5 + 5*T1^2*T2^6 + 16*T1^3*T2^6 - 
      110*T1^4*T2^6 + 91*T1^5*T2^6 - 50*T1^6*T2^6 - 44*T1^7*T2^6 + 
      20*T1^8*T2^6 - 9*T1^3*T2^7 + 22*T1^4*T2^7 + 19*T1^5*T2^7 - 
      44*T1^6*T2^7 + 57*T1^7*T2^7 - 16*T1^8*T2^7 + 4*T1^4*T2^8 - 
      16*T1^5*T2^8 + 20*T1^6*T2^8 - 16*T1^7*T2^8 + 4*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 145] -> 
  {(1 - 3*T + T^2)^2/T^2, (2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(-1 + 3*T1 - T1^2 + 3*T2 - 7*T1*T2 + 
      5*T1^2*T2 - T2^2 + 5*T1*T2^2 - 12*T1^2*T2^2 - T1^3*T2^2 + T1^4*T2^2 - 
      T1^2*T2^3 + 11*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 146] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   -((-5 + 29*T1 - 47*T1^2 + 29*T1^3 - 5*T1^4 + 29*T2 - 182*T1*T2 + 
      388*T1^2*T2 - 356*T1^3*T2 + 154*T1^4*T2 - 19*T1^5*T2 - 47*T2^2 + 
      388*T1*T2^2 - 1068*T1^2*T2^2 + 758*T1^3*T2^2 + 224*T1^4*T2^2 - 
      524*T1^5*T2^2 + 105*T1^6*T2^2 + 29*T2^3 - 356*T1*T2^3 + 758*T1^2*T2^3 + 
      1856*T1^3*T2^3 - 4204*T1^4*T2^3 + 2582*T1^5*T2^3 + 52*T1^6*T2^3 - 
      115*T1^7*T2^3 - 5*T2^4 + 154*T1*T2^4 + 224*T1^2*T2^4 - 4204*T1^3*T2^4 + 
      4596*T1^4*T2^4 + 500*T1^5*T2^4 - 2928*T1^6*T2^4 + 538*T1^7*T2^4 + 
      27*T1^8*T2^4 - 19*T1*T2^5 - 524*T1^2*T2^5 + 2582*T1^3*T2^5 + 
      500*T1^4*T2^5 - 5560*T1^5*T2^5 + 4406*T1^6*T2^5 - 116*T1^7*T2^5 - 
      163*T1^8*T2^5 + 105*T1^2*T2^6 + 52*T1^3*T2^6 - 2928*T1^4*T2^6 + 
      4406*T1^5*T2^6 - 1636*T1^6*T2^6 - 860*T1^7*T2^6 + 257*T1^8*T2^6 - 
      115*T1^3*T2^7 + 538*T1^4*T2^7 - 116*T1^5*T2^7 - 860*T1^6*T2^7 + 
      874*T1^7*T2^7 - 163*T1^8*T2^7 + 27*T1^4*T2^8 - 163*T1^5*T2^8 + 
      257*T1^6*T2^8 - 163*T1^7*T2^8 + 27*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 147] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-31 + 123*T1 - 259*T1^2 + 319*T1^3 - 259*T1^4 + 123*T1^5 - 31*T1^6 + 
     123*T2 - 398*T1*T2 + 670*T1^2*T2 - 512*T1^3*T2 + 96*T1^4*T2 + 
     270*T1^5*T2 - 238*T1^6*T2 + 91*T1^7*T2 - 259*T2^2 + 670*T1*T2^2 - 
     850*T1^2*T2^2 + 106*T1^3*T2^2 + 596*T1^4*T2^2 - 778*T1^5*T2^2 + 
     170*T1^6*T2^2 + 126*T1^7*T2^2 - 123*T1^8*T2^2 + 319*T2^3 - 512*T1*T2^3 + 
     106*T1^2*T2^3 + 1276*T1^3*T2^3 - 1446*T1^4*T2^3 + 572*T1^5*T2^3 + 
     774*T1^6*T2^3 - 676*T1^7*T2^3 + 224*T1^8*T2^3 + 67*T1^9*T2^3 - 
     259*T2^4 + 96*T1*T2^4 + 596*T1^2*T2^4 - 1446*T1^3*T2^4 + 46*T1^4*T2^4 + 
     1646*T1^5*T2^4 - 2282*T1^6*T2^4 + 738*T1^7*T2^4 + 220*T1^8*T2^4 - 
     320*T1^9*T2^4 + 13*T1^10*T2^4 + 123*T2^5 + 270*T1*T2^5 - 778*T1^2*T2^5 + 
     572*T1^3*T2^5 + 1646*T1^4*T2^5 - 2641*T1^5*T2^5 + 1525*T1^6*T2^5 + 
     745*T1^7*T2^5 - 1114*T1^8*T2^5 + 412*T1^9*T2^5 + 94*T1^10*T2^5 - 
     37*T1^11*T2^5 - 31*T2^6 - 238*T1*T2^6 + 170*T1^2*T2^6 + 774*T1^3*T2^6 - 
     2282*T1^4*T2^6 + 1525*T1^5*T2^6 + 900*T1^6*T2^6 - 2341*T1^7*T2^6 + 
     1420*T1^8*T2^6 - 2*T1^9*T2^6 - 314*T1^10*T2^6 + 82*T1^11*T2^6 + 
     17*T1^12*T2^6 + 91*T1*T2^7 + 126*T1^2*T2^7 - 676*T1^3*T2^7 + 
     738*T1^4*T2^7 + 745*T1^5*T2^7 - 2341*T1^6*T2^7 + 1825*T1^7*T2^7 - 
     156*T1^8*T2^7 - 948*T1^9*T2^7 + 514*T1^10*T2^7 - 50*T1^11*T2^7 - 
     69*T1^12*T2^7 - 123*T1^2*T2^8 + 224*T1^3*T2^8 + 220*T1^4*T2^8 - 
     1114*T1^5*T2^8 + 1420*T1^6*T2^8 - 156*T1^7*T2^8 - 908*T1^8*T2^8 + 
     1070*T1^9*T2^8 - 156*T1^10*T2^8 - 192*T1^11*T2^8 + 149*T1^12*T2^8 + 
     67*T1^3*T2^9 - 320*T1^4*T2^9 + 412*T1^5*T2^9 - 2*T1^6*T2^9 - 
     948*T1^7*T2^9 + 1070*T1^8*T2^9 - 504*T1^9*T2^9 - 370*T1^10*T2^9 + 
     416*T1^11*T2^9 - 185*T1^12*T2^9 + 13*T1^4*T2^10 + 94*T1^5*T2^10 - 
     314*T1^6*T2^10 + 514*T1^7*T2^10 - 156*T1^8*T2^10 - 370*T1^9*T2^10 + 
     706*T1^10*T2^10 - 450*T1^11*T2^10 + 149*T1^12*T2^10 - 37*T1^5*T2^11 + 
     82*T1^6*T2^11 - 50*T1^7*T2^11 - 192*T1^8*T2^11 + 416*T1^9*T2^11 - 
     450*T1^10*T2^11 + 242*T1^11*T2^11 - 69*T1^12*T2^11 + 17*T1^6*T2^12 - 
     69*T1^7*T2^12 + 149*T1^8*T2^12 - 185*T1^9*T2^12 + 149*T1^10*T2^12 - 
     69*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 148] -> 
  {(1 + T - 5*T^2 + 7*T^3 - 5*T^4 + T^5 + T^6)/T^3, 
   (-1 + 5*T1 - 7*T1^2 + 5*T1^3 - T1^4 - T1^5 + T1^6 + 5*T2 - 13*T1*T2 - 
     9*T1^2*T2 + 49*T1^3*T2 - 69*T1^4*T2 + 47*T1^5*T2 - 5*T1^6*T2 - 
     10*T1^7*T2 - 7*T2^2 - 9*T1*T2^2 + 4*T1^2*T2^2 + 56*T1^3*T2^2 - 
     130*T1^4*T2^2 + 160*T1^5*T2^2 - 114*T1^6*T2^2 + 9*T1^7*T2^2 + 
     21*T1^8*T2^2 + 5*T2^3 + 49*T1*T2^3 + 56*T1^2*T2^3 - 171*T1^3*T2^3 + 
     133*T1^4*T2^3 + 33*T1^5*T2^3 - 168*T1^6*T2^3 + 163*T1^7*T2^3 - 
     T1^8*T2^3 - 20*T1^9*T2^3 - T2^4 - 69*T1*T2^4 - 130*T1^2*T2^4 + 
     133*T1^3*T2^4 + 69*T1^4*T2^4 - 261*T1^5*T2^4 + 228*T1^6*T2^4 - 
     20*T1^7*T2^4 - 144*T1^8*T2^4 - 11*T1^9*T2^4 + 5*T1^10*T2^4 - T2^5 + 
     47*T1*T2^5 + 160*T1^2*T2^5 + 33*T1^3*T2^5 - 261*T1^4*T2^5 + 
     252*T1^5*T2^5 + 21*T1^6*T2^5 - 269*T1^7*T2^5 + 232*T1^8*T2^5 + 
     71*T1^9*T2^5 + 9*T1^10*T2^5 + 6*T1^11*T2^5 + T2^6 - 5*T1*T2^6 - 
     114*T1^2*T2^6 - 168*T1^3*T2^6 + 228*T1^4*T2^6 + 21*T1^5*T2^6 - 
     309*T1^6*T2^6 + 323*T1^7*T2^6 - 58*T1^8*T2^6 - 189*T1^9*T2^6 - 
     15*T1^10*T2^6 + 6*T1^11*T2^6 - 10*T1*T2^7 + 9*T1^2*T2^7 + 
     163*T1^3*T2^7 - 20*T1^4*T2^7 - 269*T1^5*T2^7 + 323*T1^6*T2^7 - 
     65*T1^7*T2^7 - 244*T1^8*T2^7 + 277*T1^9*T2^7 + 3*T1^10*T2^7 - 
     30*T1^11*T2^7 + 21*T1^2*T2^8 - T1^3*T2^8 - 144*T1^4*T2^8 + 
     232*T1^5*T2^8 - 58*T1^6*T2^8 - 244*T1^7*T2^8 + 388*T1^8*T2^8 - 
     249*T1^9*T2^8 + 15*T1^10*T2^8 + 42*T1^11*T2^8 - 20*T1^3*T2^9 - 
     11*T1^4*T2^9 + 71*T1^5*T2^9 - 189*T1^6*T2^9 + 277*T1^7*T2^9 - 
     249*T1^8*T2^9 + 131*T1^9*T2^9 - 21*T1^10*T2^9 - 30*T1^11*T2^9 + 
     5*T1^4*T2^10 + 9*T1^5*T2^10 - 15*T1^6*T2^10 + 3*T1^7*T2^10 + 
     15*T1^8*T2^10 - 21*T1^9*T2^10 + 9*T1^10*T2^10 + 6*T1^11*T2^10 + 
     6*T1^5*T2^11 + 6*T1^6*T2^11 - 30*T1^7*T2^11 + 42*T1^8*T2^11 - 
     30*T1^9*T2^11 + 6*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 149] -> 
  {(2 - T - T^2 - T^3 + 2*T^4)/T^2, (1 + T1 - 3*T1^2 + T1^3 + T1^4 + T2 - 
     8*T1*T2 + 6*T1^2*T2 + 6*T1^3*T2 - 2*T1^4*T2 - 3*T1^5*T2 - 3*T2^2 + 
     6*T1*T2^2 - 13*T1^2*T2^2 + T1^3*T2^2 - T1^4*T2^2 + 10*T1^5*T2^2 - 
     11*T1^6*T2^2 + T2^3 + 6*T1*T2^3 + T1^2*T2^3 - 13*T1^3*T2^3 + 
     5*T1^4*T2^3 + 4*T1^5*T2^3 + 14*T1^6*T2^3 - 11*T1^7*T2^3 + T2^4 - 
     2*T1*T2^4 - T1^2*T2^4 + 5*T1^3*T2^4 + 24*T1^4*T2^4 - 17*T1^5*T2^4 - 
     19*T1^6*T2^4 - 14*T1^7*T2^4 + 33*T1^8*T2^4 - 3*T1*T2^5 + 10*T1^2*T2^5 + 
     4*T1^3*T2^5 - 17*T1^4*T2^5 + T1^5*T2^5 + 7*T1^6*T2^5 + 18*T1^7*T2^5 - 
     15*T1^8*T2^5 - 11*T1^2*T2^6 + 14*T1^3*T2^6 - 19*T1^4*T2^6 + 
     7*T1^5*T2^6 - 7*T1^6*T2^6 + 18*T1^7*T2^6 - 19*T1^8*T2^6 - 11*T1^3*T2^7 - 
     14*T1^4*T2^7 + 18*T1^5*T2^7 + 18*T1^6*T2^7 - 8*T1^7*T2^7 - 
     15*T1^8*T2^7 + 33*T1^4*T2^8 - 15*T1^5*T2^8 - 19*T1^6*T2^8 - 
     15*T1^7*T2^8 + 33*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 150] -> 
  {(1 - 5*T + 10*T^2 - 9*T^3 + 7*T^4 - 9*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 54*T1^3 - 42*T1^4 + 54*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 20*T1^3*T2 - 15*T1^4*T2 - 
     95*T1^5*T2 + 75*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 512*T1^3*T2^2 + 307*T1^4*T2^2 + 
     23*T1^5*T2^2 + 247*T1^6*T2^2 - 592*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 54*T2^3 - 20*T1*T2^3 - 512*T1^2*T2^3 + 
     1047*T1^3*T2^3 - 5*T1^4*T2^3 - 269*T1^5*T2^3 - 556*T1^6*T2^3 + 
     621*T1^7*T2^3 + 567*T1^8*T2^3 - 482*T1^9*T2^3 + 65*T1^10*T2^3 + 
     27*T1^11*T2^3 - 42*T2^4 - 15*T1*T2^4 + 307*T1^2*T2^4 - 5*T1^3*T2^4 - 
     1617*T1^4*T2^4 + 1112*T1^5*T2^4 - 77*T1^6*T2^4 + 730*T1^7*T2^4 - 
     1809*T1^8*T2^4 + 553*T1^9*T2^4 + 137*T1^10*T2^4 - 65*T1^11*T2^4 - 
     14*T1^12*T2^4 + 54*T2^5 - 95*T1*T2^5 + 23*T1^2*T2^5 - 269*T1^3*T2^5 + 
     1112*T1^4*T2^5 - 106*T1^5*T2^5 - 356*T1^6*T2^5 - 476*T1^7*T2^5 + 
     794*T1^8*T2^5 + 497*T1^9*T2^5 - 374*T1^10*T2^5 + 8*T1^11*T2^5 + 
     25*T1^12*T2^5 + 9*T1^13*T2^5 - 60*T2^6 + 75*T1*T2^6 + 247*T1^2*T2^6 - 
     556*T1^3*T2^6 - 77*T1^4*T2^6 - 356*T1^5*T2^6 + 538*T1^6*T2^6 - 
     142*T1^7*T2^6 - 62*T1^8*T2^6 - 376*T1^9*T2^6 - 17*T1^10*T2^6 + 
     4*T1^11*T2^6 + 87*T1^12*T2^6 - 45*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     592*T1^2*T2^7 + 621*T1^3*T2^7 + 730*T1^4*T2^7 - 476*T1^5*T2^7 - 
     142*T1^6*T2^7 - 126*T1^7*T2^7 + 456*T1^8*T2^7 - 35*T1^9*T2^7 - 
     156*T1^10*T2^7 + 413*T1^11*T2^7 - 277*T1^12*T2^7 + 38*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     567*T1^3*T2^8 - 1809*T1^4*T2^8 + 794*T1^5*T2^8 - 62*T1^6*T2^8 + 
     456*T1^7*T2^8 - 300*T1^8*T2^8 - 320*T1^9*T2^8 + 420*T1^10*T2^8 - 
     370*T1^11*T2^8 + 87*T1^12*T2^8 + 157*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     482*T1^3*T2^9 + 553*T1^4*T2^9 + 497*T1^5*T2^9 - 376*T1^6*T2^9 - 
     35*T1^7*T2^9 - 320*T1^8*T2^9 + 262*T1^9*T2^9 + 72*T1^10*T2^9 - 
     56*T1^11*T2^9 + 180*T1^12*T2^9 - 345*T1^13*T2^9 + 148*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 65*T1^3*T2^10 + 137*T1^4*T2^10 - 
     374*T1^5*T2^10 - 17*T1^6*T2^10 - 156*T1^7*T2^10 + 420*T1^8*T2^10 + 
     72*T1^9*T2^10 - 180*T1^10*T2^10 - 176*T1^11*T2^10 + 43*T1^12*T2^10 + 
     186*T1^13*T2^10 - 23*T1^14*T2^10 - 55*T1^15*T2^10 + 20*T1^16*T2^10 + 
     27*T1^3*T2^11 - 65*T1^4*T2^11 + 8*T1^5*T2^11 + 4*T1^6*T2^11 + 
     413*T1^7*T2^11 - 370*T1^8*T2^11 - 56*T1^9*T2^11 - 176*T1^10*T2^11 + 
     530*T1^11*T2^11 - 202*T1^12*T2^11 - 101*T1^13*T2^11 - 7*T1^14*T2^11 + 
     55*T1^15*T2^11 - 18*T1^16*T2^11 - 14*T1^4*T2^12 + 25*T1^5*T2^12 + 
     87*T1^6*T2^12 - 277*T1^7*T2^12 + 87*T1^8*T2^12 + 180*T1^9*T2^12 + 
     43*T1^10*T2^12 - 202*T1^11*T2^12 - 105*T1^12*T2^12 + 281*T1^13*T2^12 - 
     83*T1^14*T2^12 - 25*T1^15*T2^12 + 14*T1^16*T2^12 + 9*T1^5*T2^13 - 
     45*T1^6*T2^13 + 38*T1^7*T2^13 + 157*T1^8*T2^13 - 345*T1^9*T2^13 + 
     186*T1^10*T2^13 - 101*T1^11*T2^13 + 281*T1^12*T2^13 - 323*T1^13*T2^13 + 
     68*T1^14*T2^13 + 40*T1^15*T2^13 - 18*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 148*T1^9*T2^14 - 23*T1^10*T2^14 - 7*T1^11*T2^14 - 
     83*T1^12*T2^14 + 68*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 55*T1^10*T2^15 + 
     55*T1^11*T2^15 - 25*T1^12*T2^15 + 40*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 18*T1^11*T2^16 + 14*T1^12*T2^16 - 18*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 151] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 96*T1^2 + 132*T1^3 - 96*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     234*T1*T2 + 582*T1^2*T2 - 482*T1^3*T2 - 26*T1^4*T2 + 326*T1^5*T2 - 
     162*T1^6*T2 + 24*T1^7*T2 - 96*T2^2 + 582*T1*T2^2 - 816*T1^2*T2^2 - 
     1116*T1^3*T2^2 + 2952*T1^4*T2^2 - 2316*T1^5*T2^2 + 288*T1^6*T2^2 + 
     198*T1^7*T2^2 - 48*T1^8*T2^2 + 132*T2^3 - 482*T1*T2^3 - 1116*T1^2*T2^3 + 
     6627*T1^3*T2^3 - 6953*T1^4*T2^3 + 823*T1^5*T2^3 + 3849*T1^6*T2^3 - 
     1764*T1^7*T2^3 + 118*T1^8*T2^3 + 33*T1^9*T2^3 - 96*T2^4 - 26*T1*T2^4 + 
     2952*T1^2*T2^4 - 6953*T1^3*T2^4 - 2146*T1^4*T2^4 + 13986*T1^5*T2^4 - 
     13138*T1^6*T2^4 + 2023*T1^7*T2^4 + 1032*T1^8*T2^4 - 266*T1^9*T2^4 + 
     32*T2^5 + 326*T1*T2^5 - 2316*T1^2*T2^5 + 823*T1^3*T2^5 + 
     13986*T1^4*T2^5 - 19878*T1^5*T2^5 + 7194*T1^6*T2^5 + 7266*T1^7*T2^5 - 
     4553*T1^8*T2^5 + 540*T1^9*T2^5 + 70*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     162*T1*T2^6 + 288*T1^2*T2^6 + 3849*T1^3*T2^6 - 13138*T1^4*T2^6 + 
     7194*T1^5*T2^6 + 9576*T1^6*T2^6 - 15766*T1^7*T2^6 + 5054*T1^8*T2^6 + 
     579*T1^9*T2^6 - 464*T1^10*T2^6 + 46*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 198*T1^2*T2^7 - 1764*T1^3*T2^7 + 2023*T1^4*T2^7 + 
     7266*T1^5*T2^7 - 15766*T1^6*T2^7 + 11306*T1^7*T2^7 + 546*T1^8*T2^7 - 
     3353*T1^9*T2^7 + 1092*T1^10*T2^7 - 58*T1^11*T2^7 - 16*T1^12*T2^7 - 
     48*T1^2*T2^8 + 118*T1^3*T2^8 + 1032*T1^4*T2^8 - 4553*T1^5*T2^8 + 
     5054*T1^6*T2^8 + 546*T1^7*T2^8 - 5938*T1^8*T2^8 + 4423*T1^9*T2^8 - 
     888*T1^10*T2^8 - 122*T1^11*T2^8 + 48*T1^12*T2^8 + 33*T1^3*T2^9 - 
     266*T1^4*T2^9 + 540*T1^5*T2^9 + 579*T1^6*T2^9 - 3353*T1^7*T2^9 + 
     4423*T1^8*T2^9 - 2199*T1^9*T2^9 - 108*T1^10*T2^9 + 334*T1^11*T2^9 - 
     66*T1^12*T2^9 + 70*T1^5*T2^10 - 464*T1^6*T2^10 + 1092*T1^7*T2^10 - 
     888*T1^8*T2^10 - 108*T1^9*T2^10 + 640*T1^10*T2^10 - 314*T1^11*T2^10 + 
     48*T1^12*T2^10 - 8*T1^5*T2^11 + 46*T1^6*T2^11 - 58*T1^7*T2^11 - 
     122*T1^8*T2^11 + 334*T1^9*T2^11 - 314*T1^10*T2^11 + 118*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 48*T1^8*T2^12 - 
     66*T1^9*T2^12 + 48*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 152] -> 
  {-((1 - 6*T + 16*T^2 - 23*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 48*T1^2 + 69*T1^3 - 48*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 217*T1^2*T2 - 224*T1^3*T2 + 10*T1^4*T2 + 85*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 48*T2^2 + 217*T1*T2^2 - 365*T1^2*T2^2 + 
      77*T1^3*T2^2 + 621*T1^4*T2^2 - 467*T1^5*T2^2 + 115*T1^6*T2^2 + 
      25*T1^7*T2^2 - 16*T1^8*T2^2 + 69*T2^3 - 224*T1*T2^3 + 77*T1^2*T2^3 + 
      867*T1^3*T2^3 - 1819*T1^4*T2^3 + 407*T1^5*T2^3 + 411*T1^6*T2^3 - 
      355*T1^7*T2^3 + 94*T1^8*T2^3 - 48*T2^4 + 10*T1*T2^4 + 621*T1^2*T2^4 - 
      1819*T1^3*T2^4 + 1670*T1^4*T2^4 + 1772*T1^5*T2^4 - 2062*T1^6*T2^4 + 
      849*T1^7*T2^4 - 11*T1^8*T2^4 - 98*T1^9*T2^4 + 16*T1^10*T2^4 + 18*T2^5 + 
      85*T1*T2^5 - 467*T1^2*T2^5 + 407*T1^3*T2^5 + 1772*T1^4*T2^5 - 
      5340*T1^5*T2^5 + 2886*T1^6*T2^5 + 108*T1^7*T2^5 - 935*T1^8*T2^5 + 
      413*T1^9*T2^5 - 23*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      115*T1^2*T2^6 + 411*T1^3*T2^6 - 2062*T1^4*T2^6 + 2886*T1^5*T2^6 + 
      1332*T1^6*T2^6 - 3694*T1^7*T2^6 + 2402*T1^8*T2^6 - 495*T1^9*T2^6 - 
      141*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      25*T1^2*T2^7 - 355*T1^3*T2^7 + 849*T1^4*T2^7 + 108*T1^5*T2^7 - 
      3694*T1^6*T2^7 + 4532*T1^7*T2^7 - 1556*T1^8*T2^7 - 493*T1^9*T2^7 + 
      525*T1^10*T2^7 - 83*T1^11*T2^7 - 18*T1^12*T2^7 - 16*T1^2*T2^8 + 
      94*T1^3*T2^8 - 11*T1^4*T2^8 - 935*T1^5*T2^8 + 2402*T1^6*T2^8 - 
      1556*T1^7*T2^8 - 1330*T1^8*T2^8 + 1733*T1^9*T2^8 - 643*T1^10*T2^8 - 
      14*T1^11*T2^8 + 48*T1^12*T2^8 - 98*T1^4*T2^9 + 413*T1^5*T2^9 - 
      495*T1^6*T2^9 - 493*T1^7*T2^9 + 1733*T1^8*T2^9 - 951*T1^9*T2^9 - 
      19*T1^10*T2^9 + 220*T1^11*T2^9 - 69*T1^12*T2^9 + 16*T1^4*T2^10 - 
      23*T1^5*T2^10 - 141*T1^6*T2^10 + 525*T1^7*T2^10 - 643*T1^8*T2^10 - 
      19*T1^9*T2^10 + 339*T1^10*T2^10 - 215*T1^11*T2^10 + 48*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 83*T1^7*T2^11 - 14*T1^8*T2^11 + 
      220*T1^9*T2^11 - 215*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 69*T1^9*T2^12 + 
      48*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 153] -> 
  {(2 - 4*T + 3*T^2 + T^3 - 3*T^4 + T^5 + 3*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 96*T1^2 + 33*T1^3 - 97*T1^4 + 33*T1^5 + 96*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 + 33*T1^2*T2 - 233*T1^3*T2 + 
      136*T1^4*T2 + 104*T1^5*T2 - 249*T1^6*T2 + 89*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 96*T2^2 + 33*T1*T2^2 - 234*T1^2*T2^2 + 241*T1^3*T2^2 + 
      77*T1^4*T2^2 - 254*T1^5*T2^2 + 149*T1^6*T2^2 + 181*T1^7*T2^2 - 
      246*T1^8*T2^2 + 81*T1^9*T2^2 + 72*T1^10*T2^2 + 33*T2^3 - 233*T1*T2^3 + 
      241*T1^2*T2^3 + 58*T1^3*T2^3 - 363*T1^4*T2^3 + 212*T1^5*T2^3 + 
      176*T1^6*T2^3 - 393*T1^7*T2^3 + 148*T1^8*T2^3 + 151*T1^9*T2^3 - 
      185*T1^10*T2^3 + 21*T1^11*T2^3 - 97*T2^4 + 136*T1*T2^4 + 77*T1^2*T2^4 - 
      363*T1^3*T2^4 + 285*T1^4*T2^4 + 118*T1^5*T2^4 - 389*T1^6*T2^4 + 
      190*T1^7*T2^4 + 205*T1^8*T2^4 - 331*T1^9*T2^4 + 117*T1^10*T2^4 + 
      56*T1^11*T2^4 - 49*T1^12*T2^4 + 33*T2^5 + 104*T1*T2^5 - 254*T1^2*T2^5 + 
      212*T1^3*T2^5 + 118*T1^4*T2^5 - 319*T1^5*T2^5 + 187*T1^6*T2^5 + 
      201*T1^7*T2^5 - 339*T1^8*T2^5 + 163*T1^9*T2^5 + 112*T1^10*T2^5 - 
      146*T1^11*T2^5 + 72*T1^12*T2^5 + 13*T1^13*T2^5 + 96*T2^6 - 
      249*T1*T2^6 + 149*T1^2*T2^6 + 176*T1^3*T2^6 - 389*T1^4*T2^6 + 
      187*T1^5*T2^6 + 185*T1^6*T2^6 - 349*T1^7*T2^6 + 121*T1^8*T2^6 + 
      161*T1^9*T2^6 - 247*T1^10*T2^6 + 116*T1^11*T2^6 + 13*T1^12*T2^6 - 
      73*T1^13*T2^6 + 24*T1^14*T2^6 - 129*T2^7 + 89*T1*T2^7 + 181*T1^2*T2^7 - 
      393*T1^3*T2^7 + 190*T1^4*T2^7 + 201*T1^5*T2^7 - 349*T1^6*T2^7 + 
      104*T1^7*T2^7 + 194*T1^8*T2^7 - 256*T1^9*T2^7 + 107*T1^10*T2^7 + 
      37*T1^11*T2^7 - 115*T1^12*T2^7 + 91*T1^13*T2^7 - 15*T1^14*T2^7 - 
      17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 246*T1^2*T2^8 + 148*T1^3*T2^8 + 
      205*T1^4*T2^8 - 339*T1^5*T2^8 + 121*T1^6*T2^8 + 194*T1^7*T2^8 - 
      228*T1^8*T2^8 + 58*T1^9*T2^8 + 99*T1^10*T2^8 - 121*T1^11*T2^8 + 
      105*T1^12*T2^8 - 32*T1^13*T2^8 - 30*T1^14*T2^8 + 32*T1^15*T2^8 + 
      T1^16*T2^8 - 113*T1*T2^9 + 81*T1^2*T2^9 + 151*T1^3*T2^9 - 
      331*T1^4*T2^9 + 163*T1^5*T2^9 + 161*T1^6*T2^9 - 256*T1^7*T2^9 + 
      58*T1^8*T2^9 + 148*T1^9*T2^9 - 163*T1^10*T2^9 + 67*T1^11*T2^9 + 
      10*T1^12*T2^9 - 53*T1^13*T2^9 + 61*T1^14*T2^9 - 23*T1^15*T2^9 - 
      T1^16*T2^9 + 72*T1^2*T2^10 - 185*T1^3*T2^10 + 117*T1^4*T2^10 + 
      112*T1^5*T2^10 - 247*T1^6*T2^10 + 107*T1^7*T2^10 + 99*T1^8*T2^10 - 
      163*T1^9*T2^10 + 35*T1^10*T2^10 + 81*T1^11*T2^10 - 105*T1^12*T2^10 + 
      52*T1^13*T2^10 - 19*T1^14*T2^10 - 9*T1^15*T2^10 + 21*T1^3*T2^11 + 
      56*T1^4*T2^11 - 146*T1^5*T2^11 + 116*T1^6*T2^11 + 37*T1^7*T2^11 - 
      121*T1^8*T2^11 + 67*T1^9*T2^11 + 81*T1^10*T2^11 - 141*T1^11*T2^11 + 
      82*T1^12*T2^11 + 16*T1^13*T2^11 - 38*T1^14*T2^11 + 24*T1^15*T2^11 + 
      T1^16*T2^11 - 49*T1^4*T2^12 + 72*T1^5*T2^12 + 13*T1^6*T2^12 - 
      115*T1^7*T2^12 + 105*T1^8*T2^12 + 10*T1^9*T2^12 - 105*T1^10*T2^12 + 
      82*T1^11*T2^12 + 25*T1^12*T2^12 - 83*T1^13*T2^12 + 53*T1^14*T2^12 - 
      8*T1^15*T2^12 - T1^16*T2^12 + 13*T1^5*T2^13 - 73*T1^6*T2^13 + 
      91*T1^7*T2^13 - 32*T1^8*T2^13 - 53*T1^9*T2^13 + 52*T1^10*T2^13 + 
      16*T1^11*T2^13 - 83*T1^12*T2^13 + 58*T1^13*T2^13 + T1^14*T2^13 - 
      25*T1^15*T2^13 + T1^16*T2^13 + 24*T1^6*T2^14 - 15*T1^7*T2^14 - 
      30*T1^8*T2^14 + 61*T1^9*T2^14 - 19*T1^10*T2^14 - 38*T1^11*T2^14 + 
      53*T1^12*T2^14 + T1^13*T2^14 - 42*T1^14*T2^14 + 33*T1^15*T2^14 - 
      17*T1^7*T2^15 + 32*T1^8*T2^15 - 23*T1^9*T2^15 - 9*T1^10*T2^15 + 
      24*T1^11*T2^15 - 8*T1^12*T2^15 - 25*T1^13*T2^15 + 33*T1^14*T2^15 - 
      16*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - 
      T1^12*T2^16 + T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 154] -> 
  {(2 - 6*T + 10*T^2 - 11*T^3 + 10*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-15 + 46*T1 - 78*T1^2 + 87*T1^3 - 78*T1^4 + 46*T1^5 - 15*T1^6 + 46*T2 - 
     118*T1*T2 + 168*T1^2*T2 - 146*T1^3*T2 + 106*T1^4*T2 - 24*T1^5*T2 - 
     22*T1^6*T2 + 22*T1^7*T2 - 78*T2^2 + 168*T1*T2^2 - 213*T1^2*T2^2 + 
     157*T1^3*T2^2 - 107*T1^4*T2^2 - 43*T1^5*T2^2 + 107*T1^6*T2^2 - 
     72*T1^7*T2^2 + 2*T1^8*T2^2 + 87*T2^3 - 146*T1*T2^3 + 157*T1^2*T2^3 - 
     56*T1^3*T2^3 - 7*T1^4*T2^3 + 197*T1^5*T2^3 - 158*T1^6*T2^3 - 
     23*T1^7*T2^3 + 130*T1^8*T2^3 - 45*T1^9*T2^3 - 78*T2^4 + 106*T1*T2^4 - 
     107*T1^2*T2^4 - 7*T1^3*T2^4 + 35*T1^4*T2^4 - 179*T1^5*T2^4 + 
     15*T1^6*T2^4 + 169*T1^7*T2^4 - 99*T1^8*T2^4 - 110*T1^9*T2^4 + 
     82*T1^10*T2^4 + 46*T2^5 - 24*T1*T2^5 - 43*T1^2*T2^5 + 197*T1^3*T2^5 - 
     179*T1^4*T2^5 + 184*T1^5*T2^5 + 94*T1^6*T2^5 - 199*T1^7*T2^5 - 
     63*T1^8*T2^5 + 217*T1^9*T2^5 - 24*T1^10*T2^5 - 74*T1^11*T2^5 - 15*T2^6 - 
     22*T1*T2^6 + 107*T1^2*T2^6 - 158*T1^3*T2^6 + 15*T1^4*T2^6 + 
     94*T1^5*T2^6 - 228*T1^6*T2^6 + 102*T1^7*T2^6 + 271*T1^8*T2^6 - 
     182*T1^9*T2^6 - 117*T1^10*T2^6 + 122*T1^11*T2^6 + 33*T1^12*T2^6 + 
     22*T1*T2^7 - 72*T1^2*T2^7 - 23*T1^3*T2^7 + 169*T1^4*T2^7 - 
     199*T1^5*T2^7 + 102*T1^6*T2^7 + 12*T1^7*T2^7 - 219*T1^8*T2^7 - 
     91*T1^9*T2^7 + 237*T1^10*T2^7 - 72*T1^11*T2^7 - 98*T1^12*T2^7 + 
     2*T1^2*T2^8 + 130*T1^3*T2^8 - 99*T1^4*T2^8 - 63*T1^5*T2^8 + 
     271*T1^6*T2^8 - 219*T1^7*T2^8 + 251*T1^8*T2^8 + 113*T1^9*T2^8 - 
     91*T1^10*T2^8 - 86*T1^11*T2^8 + 162*T1^12*T2^8 - 45*T1^3*T2^9 - 
     110*T1^4*T2^9 + 217*T1^5*T2^9 - 182*T1^6*T2^9 - 91*T1^7*T2^9 + 
     113*T1^8*T2^9 - 284*T1^9*T2^9 + 37*T1^10*T2^9 + 166*T1^11*T2^9 - 
     177*T1^12*T2^9 + 82*T1^4*T2^10 - 24*T1^5*T2^10 - 117*T1^6*T2^10 + 
     237*T1^7*T2^10 - 91*T1^8*T2^10 + 37*T1^9*T2^10 + 203*T1^10*T2^10 - 
     264*T1^11*T2^10 + 162*T1^12*T2^10 - 74*T1^5*T2^11 + 122*T1^6*T2^11 - 
     72*T1^7*T2^11 - 86*T1^8*T2^11 + 166*T1^9*T2^11 - 264*T1^10*T2^11 + 
     218*T1^11*T2^11 - 98*T1^12*T2^11 + 33*T1^6*T2^12 - 98*T1^7*T2^12 + 
     162*T1^8*T2^12 - 177*T1^9*T2^12 + 162*T1^10*T2^12 - 98*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 155] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 204*T1 - 406*T1^2 + 507*T1^3 - 406*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 852*T1*T2 + 1200*T1^2*T2 - 900*T1^3*T2 + 600*T1^5*T2 - 
      612*T1^6*T2 + 164*T1^7*T2 - 406*T2^2 + 1200*T1*T2^2 - 159*T1^2*T2^2 - 
      1899*T1^3*T2^2 + 3717*T1^4*T2^2 - 3099*T1^5*T2^2 + 1281*T1^6*T2^2 + 
      400*T1^7*T2^2 - 246*T1^8*T2^2 + 507*T2^3 - 900*T1*T2^3 - 
      1899*T1^2*T2^3 + 3994*T1^3*T2^3 - 4033*T1^4*T2^3 + 467*T1^5*T2^3 + 
      2044*T1^6*T2^3 - 2499*T1^7*T2^3 + 200*T1^8*T2^3 + 207*T1^9*T2^3 - 
      406*T2^4 + 3717*T1^2*T2^4 - 4033*T1^3*T2^4 + 1952*T1^4*T2^4 + 
      2436*T1^5*T2^4 - 2668*T1^6*T2^4 + 967*T1^7*T2^4 + 1917*T1^8*T2^4 - 
      600*T1^9*T2^4 - 86*T1^10*T2^4 + 204*T2^5 + 600*T1*T2^5 - 
      3099*T1^2*T2^5 + 467*T1^3*T2^5 + 2436*T1^4*T2^5 - 4564*T1^5*T2^5 + 
      1136*T1^6*T2^5 + 1636*T1^7*T2^5 - 3033*T1^8*T2^5 - 99*T1^9*T2^5 + 
      400*T1^10*T2^5 + 4*T1^11*T2^5 - 41*T2^6 - 612*T1*T2^6 + 
      1281*T1^2*T2^6 + 2044*T1^3*T2^6 - 2668*T1^4*T2^6 + 1136*T1^5*T2^6 + 
      3384*T1^6*T2^6 - 3904*T1^7*T2^6 + 2212*T1^8*T2^6 + 1444*T1^9*T2^6 - 
      639*T1^10*T2^6 - 52*T1^11*T2^6 + 7*T1^12*T2^6 + 164*T1*T2^7 + 
      400*T1^2*T2^7 - 2499*T1^3*T2^7 + 967*T1^4*T2^7 + 1636*T1^5*T2^7 - 
      3904*T1^6*T2^7 + 1796*T1^7*T2^7 + 836*T1^8*T2^7 - 2533*T1^9*T2^7 + 
      501*T1^10*T2^7 + 200*T1^11*T2^7 - 36*T1^12*T2^7 - 246*T1^2*T2^8 + 
      200*T1^3*T2^8 + 1917*T1^4*T2^8 - 3033*T1^5*T2^8 + 2212*T1^6*T2^8 + 
      836*T1^7*T2^8 - 2408*T1^8*T2^8 + 1967*T1^9*T2^8 + 117*T1^10*T2^8 - 
      400*T1^11*T2^8 + 74*T1^12*T2^8 + 207*T1^3*T2^9 - 600*T1^4*T2^9 - 
      99*T1^5*T2^9 + 1444*T1^6*T2^9 - 2533*T1^7*T2^9 + 1967*T1^8*T2^9 - 
      506*T1^9*T2^9 - 699*T1^10*T2^9 + 500*T1^11*T2^9 - 93*T1^12*T2^9 - 
      86*T1^4*T2^10 + 400*T1^5*T2^10 - 639*T1^6*T2^10 + 501*T1^7*T2^10 + 
      117*T1^8*T2^10 - 699*T1^9*T2^10 + 801*T1^10*T2^10 - 400*T1^11*T2^10 + 
      74*T1^12*T2^10 + 4*T1^5*T2^11 - 52*T1^6*T2^11 + 200*T1^7*T2^11 - 
      400*T1^8*T2^11 + 500*T1^9*T2^11 - 400*T1^10*T2^11 + 188*T1^11*T2^11 - 
      36*T1^12*T2^11 + 7*T1^6*T2^12 - 36*T1^7*T2^12 + 74*T1^8*T2^12 - 
      93*T1^9*T2^12 + 74*T1^10*T2^12 - 36*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 156] -> 
  {(1 - 5*T + 8*T^2 - 3*T^3 - T^4 - 3*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 18*T1^3 + 6*T1^4 + 18*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 + 110*T1^3*T2 - 105*T1^4*T2 - 
     115*T1^5*T2 + 165*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     48*T2^2 + 115*T1*T2^2 + 207*T1^2*T2^2 - 690*T1^3*T2^2 + 163*T1^4*T2^2 + 
     367*T1^5*T2^2 + 19*T1^6*T2^2 - 658*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 18*T2^3 + 110*T1*T2^3 - 690*T1^2*T2^3 + 
     745*T1^3*T2^3 + 605*T1^4*T2^3 - 651*T1^5*T2^3 - 632*T1^6*T2^3 + 
     1009*T1^7*T2^3 + 261*T1^8*T2^3 - 522*T1^9*T2^3 + 115*T1^10*T2^3 + 
     9*T1^11*T2^3 + 6*T2^4 - 105*T1*T2^4 + 163*T1^2*T2^4 + 605*T1^3*T2^4 - 
     1536*T1^4*T2^4 + 395*T1^5*T2^4 + 718*T1^6*T2^4 + 117*T1^7*T2^4 - 
     1468*T1^8*T2^4 + 827*T1^9*T2^4 - 19*T1^10*T2^4 - 55*T1^11*T2^4 + 
     2*T1^12*T2^4 + 18*T2^5 - 115*T1*T2^5 + 367*T1^2*T2^5 - 651*T1^3*T2^5 + 
     395*T1^4*T2^5 + 382*T1^5*T2^5 - 226*T1^6*T2^5 - 634*T1^7*T2^5 + 
     766*T1^8*T2^5 + 38*T1^9*T2^5 - 342*T1^10*T2^5 + 148*T1^11*T2^5 - 
     25*T1^12*T2^5 + 3*T1^13*T2^5 - 48*T2^6 + 165*T1*T2^6 + 19*T1^2*T2^6 - 
     632*T1^3*T2^6 + 718*T1^4*T2^6 - 226*T1^5*T2^6 - 61*T1^6*T2^6 - 
     193*T1^7*T2^6 + 539*T1^8*T2^6 - 522*T1^9*T2^6 + 378*T1^10*T2^6 - 
     216*T1^11*T2^6 + 87*T1^12*T2^6 - 15*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     658*T1^2*T2^7 + 1009*T1^3*T2^7 + 117*T1^4*T2^7 - 634*T1^5*T2^7 - 
     193*T1^6*T2^7 + 934*T1^7*T2^7 - 658*T1^8*T2^7 + 6*T1^9*T2^7 - 
     2*T1^10*T2^7 + 158*T1^11*T2^7 - 123*T1^12*T2^7 - 10*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     261*T1^3*T2^8 - 1468*T1^4*T2^8 + 766*T1^5*T2^8 + 539*T1^6*T2^8 - 
     658*T1^7*T2^8 - 108*T1^8*T2^8 + 702*T1^9*T2^8 - 323*T1^10*T2^8 - 
     50*T1^11*T2^8 + 32*T1^12*T2^8 + 175*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     522*T1^3*T2^9 + 827*T1^4*T2^9 + 38*T1^5*T2^9 - 522*T1^6*T2^9 + 
     6*T1^7*T2^9 + 702*T1^8*T2^9 - 890*T1^9*T2^9 + 205*T1^10*T2^9 + 
     110*T1^11*T2^9 + 79*T1^12*T2^9 - 305*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 115*T1^3*T2^10 - 
     19*T1^4*T2^10 - 342*T1^5*T2^10 + 378*T1^6*T2^10 - 2*T1^7*T2^10 - 
     323*T1^8*T2^10 + 205*T1^9*T2^10 + 277*T1^10*T2^10 - 298*T1^11*T2^10 + 
     38*T1^12*T2^10 + 74*T1^13*T2^10 + 49*T1^14*T2^10 - 65*T1^15*T2^10 + 
     16*T1^16*T2^10 + 9*T1^3*T2^11 - 55*T1^4*T2^11 + 148*T1^5*T2^11 - 
     216*T1^6*T2^11 + 158*T1^7*T2^11 - 50*T1^8*T2^11 + 110*T1^9*T2^11 - 
     298*T1^10*T2^11 + 334*T1^11*T2^11 - 199*T1^12*T2^11 + 93*T1^13*T2^11 - 
     71*T1^14*T2^11 + 35*T1^15*T2^11 - 6*T1^16*T2^11 + 2*T1^4*T2^12 - 
     25*T1^5*T2^12 + 87*T1^6*T2^12 - 123*T1^7*T2^12 + 32*T1^8*T2^12 + 
     79*T1^9*T2^12 + 38*T1^10*T2^12 - 199*T1^11*T2^12 + 100*T1^12*T2^12 + 
     99*T1^13*T2^12 - 95*T1^14*T2^12 + 25*T1^15*T2^12 - 2*T1^16*T2^12 + 
     3*T1^5*T2^13 - 15*T1^6*T2^13 - 10*T1^7*T2^13 + 175*T1^8*T2^13 - 
     305*T1^9*T2^13 + 74*T1^10*T2^13 + 93*T1^11*T2^13 + 99*T1^12*T2^13 - 
     309*T1^13*T2^13 + 158*T1^14*T2^13 - 10*T1^15*T2^13 - 6*T1^16*T2^13 + 
     25*T1^7*T2^14 - 111*T1^8*T2^14 + 126*T1^9*T2^14 + 49*T1^10*T2^14 - 
     71*T1^11*T2^14 - 95*T1^12*T2^14 + 158*T1^13*T2^14 + T1^14*T2^14 - 
     55*T1^15*T2^14 + 16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     10*T1^9*T2^15 - 65*T1^10*T2^15 + 35*T1^11*T2^15 + 25*T1^12*T2^15 - 
     10*T1^13*T2^15 - 55*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 16*T1^10*T2^16 - 6*T1^11*T2^16 - 
     2*T1^12*T2^16 - 6*T1^13*T2^16 + 16*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 157] -> 
  {(1 - 6*T + 18*T^2 - 25*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 72*T1^2 + 100*T1^3 - 72*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 324*T1^2*T2 - 276*T1^3*T2 - 18*T1^4*T2 + 180*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 72*T2^2 + 324*T1*T2^2 - 715*T1^2*T2^2 + 
     153*T1^3*T2^2 + 641*T1^4*T2^2 - 531*T1^5*T2^2 - 103*T1^6*T2^2 + 
     108*T1^7*T2^2 - 36*T1^8*T2^2 + 100*T2^3 - 276*T1*T2^3 + 153*T1^2*T2^3 + 
     1967*T1^3*T2^3 - 2491*T1^4*T2^3 + 353*T1^5*T2^3 + 1325*T1^6*T2^3 - 
     441*T1^7*T2^3 + 66*T1^8*T2^3 + 25*T1^9*T2^3 - 72*T2^4 - 18*T1*T2^4 + 
     641*T1^2*T2^4 - 2491*T1^3*T2^4 - 1105*T1^4*T2^4 + 6113*T1^5*T2^4 - 
     5581*T1^6*T2^4 + 809*T1^7*T2^4 + 137*T1^8*T2^4 - 150*T1^9*T2^4 + 
     24*T2^5 + 180*T1*T2^5 - 531*T1^2*T2^5 + 353*T1^3*T2^5 + 6113*T1^4*T2^5 - 
     8762*T1^5*T2^5 + 3022*T1^6*T2^5 + 3197*T1^7*T2^5 - 1579*T1^8*T2^5 + 
     423*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 - 
     103*T1^2*T2^6 + 1325*T1^3*T2^6 - 5581*T1^4*T2^6 + 3022*T1^5*T2^6 + 
     4356*T1^6*T2^6 - 6878*T1^7*T2^6 + 1943*T1^8*T2^6 - 121*T1^9*T2^6 - 
     211*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     108*T1^2*T2^7 - 441*T1^3*T2^7 + 809*T1^4*T2^7 + 3197*T1^5*T2^7 - 
     6878*T1^6*T2^7 + 4906*T1^7*T2^7 + 281*T1^8*T2^7 - 1123*T1^9*T2^7 + 
     513*T1^10*T2^7 - 36*T1^11*T2^7 - 12*T1^12*T2^7 - 36*T1^2*T2^8 + 
     66*T1^3*T2^8 + 137*T1^4*T2^8 - 1579*T1^5*T2^8 + 1943*T1^6*T2^8 + 
     281*T1^7*T2^8 - 2533*T1^8*T2^8 + 1721*T1^9*T2^8 - 367*T1^10*T2^8 - 
     66*T1^11*T2^8 + 36*T1^12*T2^8 + 25*T1^3*T2^9 - 150*T1^4*T2^9 + 
     423*T1^5*T2^9 - 121*T1^6*T2^9 - 1123*T1^7*T2^9 + 1721*T1^8*T2^9 - 
     763*T1^9*T2^9 - 171*T1^10*T2^9 + 192*T1^11*T2^9 - 50*T1^12*T2^9 + 
     36*T1^5*T2^10 - 211*T1^6*T2^10 + 513*T1^7*T2^10 - 367*T1^8*T2^10 - 
     171*T1^9*T2^10 + 401*T1^10*T2^10 - 180*T1^11*T2^10 + 36*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 36*T1^7*T2^11 - 66*T1^8*T2^11 + 
     192*T1^9*T2^11 - 180*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 36*T1^8*T2^12 - 50*T1^9*T2^12 + 
     36*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 158] -> 
  {-((1 - 8*T + 22*T^2 - 31*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 66*T1^2 + 93*T1^3 - 66*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 399*T1^2*T2 - 392*T1^3*T2 + 32*T1^4*T2 + 159*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 66*T2^2 + 399*T1*T2^2 - 432*T1^2*T2^2 - 
      624*T1^3*T2^2 + 2082*T1^4*T2^2 - 1636*T1^5*T2^2 + 492*T1^6*T2^2 + 
      47*T1^7*T2^2 - 22*T1^8*T2^2 + 93*T2^3 - 392*T1*T2^3 - 624*T1^2*T2^3 + 
      3461*T1^3*T2^3 - 5031*T1^4*T2^3 + 1507*T1^5*T2^3 + 1157*T1^6*T2^3 - 
      1086*T1^7*T2^3 + 176*T1^8*T2^3 - 66*T2^4 + 32*T1*T2^4 + 
      2082*T1^2*T2^4 - 5031*T1^3*T2^4 + 3521*T1^4*T2^4 + 4295*T1^5*T2^4 - 
      6039*T1^6*T2^4 + 2657*T1^7*T2^4 + 50*T1^8*T2^4 - 176*T1^9*T2^4 + 
      22*T1^10*T2^4 + 24*T2^5 + 159*T1*T2^5 - 1636*T1^2*T2^5 + 
      1507*T1^3*T2^5 + 4295*T1^4*T2^5 - 12262*T1^5*T2^5 + 8404*T1^6*T2^5 - 
      149*T1^7*T2^5 - 2731*T1^8*T2^5 + 1026*T1^9*T2^5 - 49*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 492*T1^2*T2^6 + 1157*T1^3*T2^6 - 
      6039*T1^4*T2^6 + 8404*T1^5*T2^6 + 300*T1^6*T2^6 - 8532*T1^7*T2^6 + 
      6485*T1^8*T2^6 - 1141*T1^9*T2^6 - 456*T1^10*T2^6 + 104*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 47*T1^2*T2^7 - 1086*T1^3*T2^7 + 
      2657*T1^4*T2^7 - 149*T1^5*T2^7 - 8532*T1^6*T2^7 + 12134*T1^7*T2^7 - 
      4593*T1^8*T2^7 - 1581*T1^9*T2^7 + 1576*T1^10*T2^7 - 161*T1^11*T2^7 - 
      24*T1^12*T2^7 - 22*T1^2*T2^8 + 176*T1^3*T2^8 + 50*T1^4*T2^8 - 
      2731*T1^5*T2^8 + 6485*T1^6*T2^8 - 4593*T1^7*T2^8 - 3075*T1^8*T2^8 + 
      4957*T1^9*T2^8 - 1982*T1^10*T2^8 - 32*T1^11*T2^8 + 66*T1^12*T2^8 - 
      176*T1^4*T2^9 + 1026*T1^5*T2^9 - 1141*T1^6*T2^9 - 1581*T1^7*T2^9 + 
      4957*T1^8*T2^9 - 3445*T1^9*T2^9 + 564*T1^10*T2^9 + 392*T1^11*T2^9 - 
      93*T1^12*T2^9 + 22*T1^4*T2^10 - 49*T1^5*T2^10 - 456*T1^6*T2^10 + 
      1576*T1^7*T2^10 - 1982*T1^8*T2^10 + 564*T1^9*T2^10 + 468*T1^10*T2^10 - 
      401*T1^11*T2^10 + 66*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      161*T1^7*T2^11 - 32*T1^8*T2^11 + 392*T1^9*T2^11 - 401*T1^10*T2^11 + 
      176*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      66*T1^8*T2^12 - 93*T1^9*T2^12 + 66*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 159] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-15 + 46*T1 - 92*T1^2 + 115*T1^3 - 92*T1^4 + 46*T1^5 - 15*T1^6 + 46*T2 - 
     118*T1*T2 + 212*T1^2*T2 - 214*T1^3*T2 + 110*T1^4*T2 - 4*T1^5*T2 - 
     22*T1^6*T2 + 22*T1^7*T2 - 92*T2^2 + 212*T1*T2^2 - 303*T1^2*T2^2 + 
     165*T1^3*T2^2 + 121*T1^4*T2^2 - 267*T1^5*T2^2 + 177*T1^6*T2^2 - 
     76*T1^7*T2^2 + 4*T1^8*T2^2 + 115*T2^3 - 214*T1*T2^3 + 165*T1^2*T2^3 + 
     66*T1^3*T2^3 - 263*T1^4*T2^3 + 61*T1^5*T2^3 + 300*T1^6*T2^3 - 
     339*T1^7*T2^3 + 182*T1^8*T2^3 - 65*T1^9*T2^3 - 92*T2^4 + 110*T1*T2^4 + 
     121*T1^2*T2^4 - 263*T1^3*T2^4 + 300*T1^4*T2^4 + 120*T1^5*T2^4 - 
     360*T1^6*T2^4 + 97*T1^7*T2^4 + 193*T1^8*T2^4 - 106*T1^9*T2^4 + 
     100*T1^10*T2^4 + 46*T2^5 - 4*T1*T2^5 - 267*T1^2*T2^5 + 61*T1^3*T2^5 + 
     120*T1^4*T2^5 - 734*T1^5*T2^5 + 718*T1^6*T2^5 - 168*T1^7*T2^5 - 
     191*T1^8*T2^5 - 51*T1^9*T2^5 - 76*T1^10*T2^5 - 74*T1^11*T2^5 - 15*T2^6 - 
     22*T1*T2^6 + 177*T1^2*T2^6 + 300*T1^3*T2^6 - 360*T1^4*T2^6 + 
     718*T1^5*T2^6 - 132*T1^6*T2^6 - 578*T1^7*T2^6 + 648*T1^8*T2^6 - 
     60*T1^9*T2^6 + 177*T1^10*T2^6 + 122*T1^11*T2^6 + 33*T1^12*T2^6 + 
     22*T1*T2^7 - 76*T1^2*T2^7 - 339*T1^3*T2^7 + 97*T1^4*T2^7 - 
     168*T1^5*T2^7 - 578*T1^6*T2^7 + 874*T1^7*T2^7 - 456*T1^8*T2^7 - 
     155*T1^9*T2^7 - 123*T1^10*T2^7 - 148*T1^11*T2^7 - 98*T1^12*T2^7 + 
     4*T1^2*T2^8 + 182*T1^3*T2^8 + 193*T1^4*T2^8 - 191*T1^5*T2^8 + 
     648*T1^6*T2^8 - 456*T1^7*T2^8 - 12*T1^8*T2^8 + 169*T1^9*T2^8 + 
     265*T1^10*T2^8 - 34*T1^11*T2^8 + 196*T1^12*T2^8 - 65*T1^3*T2^9 - 
     106*T1^4*T2^9 - 51*T1^5*T2^9 - 60*T1^6*T2^9 - 155*T1^7*T2^9 + 
     169*T1^8*T2^9 + 174*T1^9*T2^9 - 555*T1^10*T2^9 + 290*T1^11*T2^9 - 
     245*T1^12*T2^9 + 100*T1^4*T2^10 - 76*T1^5*T2^10 + 177*T1^6*T2^10 - 
     123*T1^7*T2^10 + 265*T1^8*T2^10 - 555*T1^9*T2^10 + 657*T1^10*T2^10 - 
     364*T1^11*T2^10 + 196*T1^12*T2^10 - 74*T1^5*T2^11 + 122*T1^6*T2^11 - 
     148*T1^7*T2^11 - 34*T1^8*T2^11 + 290*T1^9*T2^11 - 364*T1^10*T2^11 + 
     218*T1^11*T2^11 - 98*T1^12*T2^11 + 33*T1^6*T2^12 - 98*T1^7*T2^12 + 
     196*T1^8*T2^12 - 245*T1^9*T2^12 + 196*T1^10*T2^12 - 98*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 160] -> 
  {-((1 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 36*T1^2 + 45*T1^3 - 36*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 144*T1^2*T2 - 126*T1^3*T2 + 36*T1^4*T2 + 36*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 36*T2^2 + 144*T1*T2^2 - T1^2*T2^2 - 
      292*T1^3*T2^2 + 559*T1^4*T2^2 - 508*T1^5*T2^2 + 263*T1^6*T2^2 - 
      12*T1^8*T2^2 + 45*T2^3 - 126*T1*T2^3 - 292*T1^2*T2^3 + 755*T1^3*T2^3 - 
      830*T1^4*T2^3 + 304*T1^5*T2^3 + 179*T1^6*T2^3 - 328*T1^7*T2^3 + 
      72*T1^8*T2^3 - 36*T2^4 + 36*T1*T2^4 + 559*T1^2*T2^4 - 830*T1^3*T2^4 + 
      128*T1^4*T2^4 + 854*T1^5*T2^4 - 964*T1^6*T2^4 + 430*T1^7*T2^4 + 
      55*T1^8*T2^4 - 72*T1^9*T2^4 + 12*T1^10*T2^4 + 18*T2^5 + 36*T1*T2^5 - 
      508*T1^2*T2^5 + 304*T1^3*T2^5 + 854*T1^4*T2^5 - 1064*T1^5*T2^5 + 
      118*T1^6*T2^5 + 710*T1^7*T2^5 - 578*T1^8*T2^5 + 248*T1^9*T2^5 - 
      12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 263*T1^2*T2^6 + 179*T1^3*T2^6 - 
      964*T1^4*T2^6 + 118*T1^5*T2^6 + 876*T1^6*T2^6 - 926*T1^7*T2^6 + 
      116*T1^8*T2^6 + 89*T1^9*T2^6 - 241*T1^10*T2^6 + 54*T1^11*T2^6 + 
      3*T1^12*T2^6 + 12*T1*T2^7 - 328*T1^3*T2^7 + 430*T1^4*T2^7 + 
      710*T1^5*T2^7 - 926*T1^6*T2^7 + 256*T1^7*T2^7 + 566*T1^8*T2^7 - 
      452*T1^9*T2^7 + 428*T1^10*T2^7 - 36*T1^11*T2^7 - 18*T1^12*T2^7 - 
      12*T1^2*T2^8 + 72*T1^3*T2^8 + 55*T1^4*T2^8 - 578*T1^5*T2^8 + 
      116*T1^6*T2^8 + 566*T1^7*T2^8 - 976*T1^8*T2^8 + 682*T1^9*T2^8 - 
      449*T1^10*T2^8 - 36*T1^11*T2^8 + 36*T1^12*T2^8 - 72*T1^4*T2^9 + 
      248*T1^5*T2^9 + 89*T1^6*T2^9 - 452*T1^7*T2^9 + 682*T1^8*T2^9 - 
      487*T1^9*T2^9 + 212*T1^10*T2^9 + 126*T1^11*T2^9 - 45*T1^12*T2^9 + 
      12*T1^4*T2^10 - 241*T1^6*T2^10 + 428*T1^7*T2^10 - 449*T1^8*T2^10 + 
      212*T1^9*T2^10 + 23*T1^10*T2^10 - 144*T1^11*T2^10 + 36*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 36*T1^7*T2^11 - 36*T1^8*T2^11 + 
      126*T1^9*T2^11 - 144*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 36*T1^8*T2^12 - 45*T1^9*T2^12 + 
      36*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 161] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 88*T1^2 + 116*T1^3 - 88*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 511*T1^2*T2 - 398*T1^3*T2 + 10*T1^4*T2 + 271*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 88*T2^2 + 511*T1*T2^2 - 436*T1^2*T2^2 - 
     1324*T1^3*T2^2 + 2636*T1^4*T2^2 - 2248*T1^5*T2^2 + 488*T1^6*T2^2 + 
     159*T1^7*T2^2 - 44*T1^8*T2^2 + 116*T2^3 - 398*T1*T2^3 - 1324*T1^2*T2^3 + 
     5421*T1^3*T2^3 - 5153*T1^4*T2^3 + 1213*T1^5*T2^3 + 2751*T1^6*T2^3 - 
     1654*T1^7*T2^3 + 122*T1^8*T2^3 + 29*T1^9*T2^3 - 88*T2^4 + 10*T1*T2^4 + 
     2636*T1^2*T2^4 - 5153*T1^3*T2^4 - 1227*T1^4*T2^4 + 8053*T1^5*T2^4 - 
     9123*T1^6*T2^4 + 2039*T1^7*T2^4 + 860*T1^8*T2^4 - 230*T1^9*T2^4 + 
     32*T2^5 + 271*T1*T2^5 - 2248*T1^2*T2^5 + 1213*T1^3*T2^5 + 
     8053*T1^4*T2^5 - 11210*T1^5*T2^5 + 5848*T1^6*T2^5 + 3873*T1^7*T2^5 - 
     3501*T1^8*T2^5 + 458*T1^9*T2^5 + 63*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 488*T1^2*T2^6 + 2751*T1^3*T2^6 - 9123*T1^4*T2^6 + 
     5848*T1^5*T2^6 + 3012*T1^6*T2^6 - 9152*T1^7*T2^6 + 3913*T1^8*T2^6 + 
     465*T1^9*T2^6 - 460*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 159*T1^2*T2^7 - 1654*T1^3*T2^7 + 2039*T1^4*T2^7 + 
     3873*T1^5*T2^7 - 9152*T1^6*T2^7 + 7906*T1^7*T2^7 - 307*T1^8*T2^7 - 
     2675*T1^9*T2^7 + 1052*T1^10*T2^7 - 49*T1^11*T2^7 - 16*T1^12*T2^7 - 
     44*T1^2*T2^8 + 122*T1^3*T2^8 + 860*T1^4*T2^8 - 3501*T1^5*T2^8 + 
     3913*T1^6*T2^8 - 307*T1^7*T2^8 - 3983*T1^8*T2^8 + 3691*T1^9*T2^8 - 
     916*T1^10*T2^8 - 118*T1^11*T2^8 + 44*T1^12*T2^8 + 29*T1^3*T2^9 - 
     230*T1^4*T2^9 + 458*T1^5*T2^9 + 465*T1^6*T2^9 - 2675*T1^7*T2^9 + 
     3691*T1^8*T2^9 - 2205*T1^9*T2^9 + 128*T1^10*T2^9 + 290*T1^11*T2^9 - 
     58*T1^12*T2^9 + 63*T1^5*T2^10 - 460*T1^6*T2^10 + 1052*T1^7*T2^10 - 
     916*T1^8*T2^10 + 128*T1^9*T2^10 + 464*T1^10*T2^10 - 289*T1^11*T2^10 + 
     44*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 49*T1^7*T2^11 - 
     118*T1^8*T2^11 + 290*T1^9*T2^11 - 289*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 44*T1^8*T2^12 - 
     58*T1^9*T2^12 + 44*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 162] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 42*T1^2 + 57*T1^3 - 42*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 180*T1^2*T2 - 174*T1^3*T2 + 24*T1^4*T2 + 60*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 42*T2^2 + 180*T1*T2^2 - 177*T1^2*T2^2 - 
      93*T1^3*T2^2 + 541*T1^4*T2^2 - 457*T1^5*T2^2 + 187*T1^6*T2^2 + 
      12*T1^7*T2^2 - 14*T1^8*T2^2 + 57*T2^3 - 174*T1*T2^3 - 93*T1^2*T2^3 + 
      647*T1^3*T2^3 - 1171*T1^4*T2^3 + 461*T1^5*T2^3 + 107*T1^6*T2^3 - 
      303*T1^7*T2^3 + 84*T1^8*T2^3 - 42*T2^4 + 24*T1*T2^4 + 541*T1^2*T2^4 - 
      1171*T1^3*T2^4 + 1399*T1^4*T2^4 + 191*T1^5*T2^4 - 837*T1^6*T2^4 + 
      729*T1^7*T2^4 - 43*T1^8*T2^4 - 84*T1^9*T2^4 + 14*T1^10*T2^4 + 18*T2^5 + 
      60*T1*T2^5 - 457*T1^2*T2^5 + 461*T1^3*T2^5 + 191*T1^4*T2^5 - 
      2156*T1^5*T2^5 + 1792*T1^6*T2^5 - 509*T1^7*T2^5 - 635*T1^8*T2^5 + 
      369*T1^9*T2^5 - 12*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      187*T1^2*T2^6 + 107*T1^3*T2^6 - 837*T1^4*T2^6 + 1792*T1^5*T2^6 - 
      180*T1^6*T2^6 - 1468*T1^7*T2^6 + 1607*T1^8*T2^6 - 343*T1^9*T2^6 - 
      201*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      12*T1^2*T2^7 - 303*T1^3*T2^7 + 729*T1^4*T2^7 - 509*T1^5*T2^7 - 
      1468*T1^6*T2^7 + 2480*T1^7*T2^7 - 1209*T1^8*T2^7 - 367*T1^9*T2^7 + 
      523*T1^10*T2^7 - 60*T1^11*T2^7 - 18*T1^12*T2^7 - 14*T1^2*T2^8 + 
      84*T1^3*T2^8 - 43*T1^4*T2^8 - 635*T1^5*T2^8 + 1607*T1^6*T2^8 - 
      1209*T1^7*T2^8 - 629*T1^8*T2^8 + 1265*T1^9*T2^8 - 627*T1^10*T2^8 - 
      24*T1^11*T2^8 + 42*T1^12*T2^8 - 84*T1^4*T2^9 + 369*T1^5*T2^9 - 
      343*T1^6*T2^9 - 367*T1^7*T2^9 + 1265*T1^8*T2^9 - 883*T1^9*T2^9 + 
      159*T1^10*T2^9 + 174*T1^11*T2^9 - 57*T1^12*T2^9 + 14*T1^4*T2^10 - 
      12*T1^5*T2^10 - 201*T1^6*T2^10 + 523*T1^7*T2^10 - 627*T1^8*T2^10 + 
      159*T1^9*T2^10 + 163*T1^10*T2^10 - 180*T1^11*T2^10 + 42*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 60*T1^7*T2^11 - 24*T1^8*T2^11 + 
      174*T1^9*T2^11 - 180*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 42*T1^8*T2^12 - 57*T1^9*T2^12 + 
      42*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 163] -> 
  {-((1 - 5*T + 8*T^2 - 7*T^3 + 5*T^4 - 7*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4), 
   -((-7 + 35*T1 - 56*T1^2 + 49*T1^3 - 35*T1^4 + 49*T1^5 - 56*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 130*T1^2*T2 - 5*T1^3*T2 - 
      35*T1^4*T2 - 95*T1^5*T2 + 70*T1^6*T2 + 65*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 56*T2^2 + 130*T1*T2^2 + 256*T1^2*T2^2 - 596*T1^3*T2^2 + 
      436*T1^4*T2^2 - 66*T1^5*T2^2 + 388*T1^6*T2^2 - 628*T1^7*T2^2 + 
      368*T1^8*T2^2 + 50*T1^9*T2^2 - 40*T1^10*T2^2 + 49*T2^3 - 5*T1*T2^3 - 
      596*T1^2*T2^3 + 595*T1^3*T2^3 + 31*T1^4*T2^3 - 316*T1^5*T2^3 - 
      481*T1^6*T2^3 + 421*T1^7*T2^3 + 243*T1^8*T2^3 - 524*T1^9*T2^3 + 
      60*T1^10*T2^3 + 28*T1^11*T2^3 - 35*T2^4 - 35*T1*T2^4 + 436*T1^2*T2^4 + 
      31*T1^3*T2^4 - 600*T1^4*T2^4 + 401*T1^5*T2^4 + 426*T1^6*T2^4 + 
      151*T1^7*T2^4 - 660*T1^8*T2^4 + 381*T1^9*T2^4 + 246*T1^10*T2^4 - 
      65*T1^11*T2^4 - 15*T1^12*T2^4 + 49*T2^5 - 95*T1*T2^5 - 66*T1^2*T2^5 - 
      316*T1^3*T2^5 + 401*T1^4*T2^5 - 82*T1^5*T2^5 - 303*T1^6*T2^5 - 
      305*T1^7*T2^5 + 288*T1^8*T2^5 + 98*T1^9*T2^5 - 335*T1^10*T2^5 - 
      27*T1^11*T2^5 + 5*T1^12*T2^5 + 14*T1^13*T2^5 - 56*T2^6 + 70*T1*T2^6 + 
      388*T1^2*T2^6 - 481*T1^3*T2^6 + 426*T1^4*T2^6 - 303*T1^5*T2^6 + 
      550*T1^6*T2^6 - 358*T1^7*T2^6 + 366*T1^8*T2^6 - 239*T1^9*T2^6 + 
      246*T1^10*T2^6 - 97*T1^11*T2^6 + 152*T1^12*T2^6 - 30*T1^13*T2^6 - 
      8*T1^14*T2^6 + 35*T2^7 + 65*T1*T2^7 - 628*T1^2*T2^7 + 421*T1^3*T2^7 + 
      151*T1^4*T2^7 - 305*T1^5*T2^7 - 358*T1^6*T2^7 + 316*T1^7*T2^7 + 
      26*T1^8*T2^7 - 193*T1^9*T2^7 - 171*T1^10*T2^7 + 242*T1^11*T2^7 - 
      129*T1^12*T2^7 - 76*T1^13*T2^7 + 40*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 
      368*T1^2*T2^8 + 243*T1^3*T2^8 - 660*T1^4*T2^8 + 288*T1^5*T2^8 + 
      366*T1^6*T2^8 + 26*T1^7*T2^8 - 408*T1^8*T2^8 + 230*T1^9*T2^8 + 
      208*T1^10*T2^8 - 124*T1^11*T2^8 - 112*T1^12*T2^8 + 205*T1^13*T2^8 - 
      62*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 50*T1^2*T2^9 - 
      524*T1^3*T2^9 + 381*T1^4*T2^9 + 98*T1^5*T2^9 - 239*T1^6*T2^9 - 
      193*T1^7*T2^9 + 230*T1^8*T2^9 - 60*T1^9*T2^9 - 28*T1^10*T2^9 - 
      105*T1^11*T2^9 + 189*T1^12*T2^9 - 169*T1^13*T2^9 + 28*T1^14*T2^9 + 
      25*T1^15*T2^9 - 5*T1^16*T2^9 - 40*T1^2*T2^10 + 60*T1^3*T2^10 + 
      246*T1^4*T2^10 - 335*T1^5*T2^10 + 246*T1^6*T2^10 - 171*T1^7*T2^10 + 
      208*T1^8*T2^10 - 28*T1^9*T2^10 + 24*T1^10*T2^10 - 107*T1^11*T2^10 + 
      66*T1^12*T2^10 + 49*T1^13*T2^10 + 10*T1^14*T2^10 - 40*T1^15*T2^10 + 
      8*T1^16*T2^10 + 28*T1^3*T2^11 - 65*T1^4*T2^11 - 27*T1^5*T2^11 - 
      97*T1^6*T2^11 + 242*T1^7*T2^11 - 124*T1^8*T2^11 - 105*T1^9*T2^11 - 
      107*T1^10*T2^11 + 246*T1^11*T2^11 - 61*T1^12*T2^11 - 116*T1^13*T2^11 + 
      12*T1^14*T2^11 + 35*T1^15*T2^11 - 7*T1^16*T2^11 - 15*T1^4*T2^12 + 
      5*T1^5*T2^12 + 152*T1^6*T2^12 - 129*T1^7*T2^12 - 112*T1^8*T2^12 + 
      189*T1^9*T2^12 + 66*T1^10*T2^12 - 61*T1^11*T2^12 - 172*T1^12*T2^12 + 
      221*T1^13*T2^12 - 38*T1^14*T2^12 - 25*T1^15*T2^12 + 5*T1^16*T2^12 + 
      14*T1^5*T2^13 - 30*T1^6*T2^13 - 76*T1^7*T2^13 + 205*T1^8*T2^13 - 
      169*T1^9*T2^13 + 49*T1^10*T2^13 - 116*T1^11*T2^13 + 221*T1^12*T2^13 - 
      147*T1^13*T2^13 - 4*T1^14*T2^13 + 35*T1^15*T2^13 - 7*T1^16*T2^13 - 
      8*T1^6*T2^14 + 40*T1^7*T2^14 - 62*T1^8*T2^14 + 28*T1^9*T2^14 + 
      10*T1^10*T2^14 + 12*T1^11*T2^14 - 38*T1^12*T2^14 - 4*T1^13*T2^14 + 
      50*T1^14*T2^14 - 40*T1^15*T2^14 + 8*T1^16*T2^14 - 5*T1^8*T2^15 + 
      25*T1^9*T2^15 - 40*T1^10*T2^15 + 35*T1^11*T2^15 - 25*T1^12*T2^15 + 
      35*T1^13*T2^15 - 40*T1^14*T2^15 + 25*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 8*T1^10*T2^16 - 7*T1^11*T2^16 + 
      5*T1^12*T2^16 - 7*T1^13*T2^16 + 8*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 164] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 60*T1^2 + 81*T1^3 - 60*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      178*T1*T2 + 354*T1^2*T2 - 330*T1^3*T2 + 46*T1^4*T2 + 130*T1^5*T2 - 
      106*T1^6*T2 + 16*T1^7*T2 - 60*T2^2 + 354*T1*T2^2 - 140*T1^2*T2^2 - 
      925*T1^3*T2^2 + 2070*T1^4*T2^2 - 1685*T1^5*T2^2 + 620*T1^6*T2^2 + 
      34*T1^7*T2^2 - 20*T1^8*T2^2 + 81*T2^3 - 330*T1*T2^3 - 925*T1^2*T2^3 + 
      3157*T1^3*T2^3 - 3986*T1^4*T2^3 + 1266*T1^5*T2^3 + 945*T1^6*T2^3 - 
      1105*T1^7*T2^3 + 158*T1^8*T2^3 - 60*T2^4 + 46*T1*T2^4 + 
      2070*T1^2*T2^4 - 3986*T1^3*T2^4 + 2568*T1^4*T2^4 + 2696*T1^5*T2^4 - 
      4120*T1^6*T2^4 + 2062*T1^7*T2^4 + 214*T1^8*T2^4 - 162*T1^9*T2^4 + 
      20*T1^10*T2^4 + 24*T2^5 + 130*T1*T2^5 - 1685*T1^2*T2^5 + 
      1266*T1^3*T2^5 + 2696*T1^4*T2^5 - 7434*T1^5*T2^5 + 4866*T1^6*T2^5 + 
      216*T1^7*T2^5 - 2394*T1^8*T2^5 + 815*T1^9*T2^5 - 30*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 106*T1*T2^6 + 620*T1^2*T2^6 + 945*T1^3*T2^6 - 
      4120*T1^4*T2^6 + 4866*T1^5*T2^6 + 936*T1^6*T2^6 - 5518*T1^7*T2^6 + 
      4288*T1^8*T2^6 - 497*T1^9*T2^6 - 508*T1^10*T2^6 + 102*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 34*T1^2*T2^7 - 1105*T1^3*T2^7 + 
      2062*T1^4*T2^7 + 216*T1^5*T2^7 - 5518*T1^6*T2^7 + 6782*T1^7*T2^7 - 
      2264*T1^8*T2^7 - 1598*T1^9*T2^7 + 1395*T1^10*T2^7 - 126*T1^11*T2^7 - 
      24*T1^12*T2^7 - 20*T1^2*T2^8 + 158*T1^3*T2^8 + 214*T1^4*T2^8 - 
      2394*T1^5*T2^8 + 4288*T1^6*T2^8 - 2264*T1^7*T2^8 - 2400*T1^8*T2^8 + 
      3654*T1^9*T2^8 - 1642*T1^10*T2^8 - 50*T1^11*T2^8 + 60*T1^12*T2^8 - 
      162*T1^4*T2^9 + 815*T1^5*T2^9 - 497*T1^6*T2^9 - 1598*T1^7*T2^9 + 
      3654*T1^8*T2^9 - 2709*T1^9*T2^9 + 635*T1^10*T2^9 + 326*T1^11*T2^9 - 
      81*T1^12*T2^9 + 20*T1^4*T2^10 - 30*T1^5*T2^10 - 508*T1^6*T2^10 + 
      1395*T1^7*T2^10 - 1642*T1^8*T2^10 + 635*T1^9*T2^10 + 252*T1^10*T2^10 - 
      350*T1^11*T2^10 + 60*T1^12*T2^10 - 16*T1^5*T2^11 + 102*T1^6*T2^11 - 
      126*T1^7*T2^11 - 50*T1^8*T2^11 + 326*T1^9*T2^11 - 350*T1^10*T2^11 + 
      174*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      60*T1^8*T2^12 - 81*T1^9*T2^12 + 60*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 165] -> 
  {(1 - 6*T + 16*T^2 - 21*T^3 + 16*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 64*T1^2 + 84*T1^3 - 64*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 277*T1^2*T2 - 216*T1^3*T2 + 6*T1^4*T2 + 145*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 64*T2^2 + 277*T1*T2^2 - 421*T1^2*T2^2 - 
     176*T1^3*T2^2 + 705*T1^4*T2^2 - 656*T1^5*T2^2 + 59*T1^6*T2^2 + 
     85*T1^7*T2^2 - 32*T1^8*T2^2 + 84*T2^3 - 216*T1*T2^3 - 176*T1^2*T2^3 + 
     1719*T1^3*T2^3 - 1742*T1^4*T2^3 + 424*T1^5*T2^3 + 993*T1^6*T2^3 - 
     512*T1^7*T2^3 + 66*T1^8*T2^3 + 21*T1^9*T2^3 - 64*T2^4 + 6*T1*T2^4 + 
     705*T1^2*T2^4 - 1742*T1^3*T2^4 - 640*T1^4*T2^4 + 3154*T1^5*T2^4 - 
     3460*T1^6*T2^4 + 694*T1^7*T2^4 + 217*T1^8*T2^4 - 126*T1^9*T2^4 + 
     24*T2^5 + 145*T1*T2^5 - 656*T1^2*T2^5 + 424*T1^3*T2^5 + 3154*T1^4*T2^5 - 
     4256*T1^5*T2^5 + 2050*T1^6*T2^5 + 1618*T1^7*T2^5 - 1202*T1^8*T2^5 + 
     256*T1^9*T2^5 + 37*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     59*T1^2*T2^6 + 993*T1^3*T2^6 - 3460*T1^4*T2^6 + 2050*T1^5*T2^6 + 
     1392*T1^6*T2^6 - 3506*T1^7*T2^6 + 1292*T1^8*T2^6 + 99*T1^9*T2^6 - 
     197*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     85*T1^2*T2^7 - 512*T1^3*T2^7 + 694*T1^4*T2^7 + 1618*T1^5*T2^7 - 
     3506*T1^6*T2^7 + 2800*T1^7*T2^7 + 82*T1^8*T2^7 - 932*T1^9*T2^7 + 
     400*T1^10*T2^7 - 23*T1^11*T2^7 - 12*T1^12*T2^7 - 32*T1^2*T2^8 + 
     66*T1^3*T2^8 + 217*T1^4*T2^8 - 1202*T1^5*T2^8 + 1292*T1^6*T2^8 + 
     82*T1^7*T2^8 - 1528*T1^8*T2^8 + 1234*T1^9*T2^8 - 271*T1^10*T2^8 - 
     66*T1^11*T2^8 + 32*T1^12*T2^8 + 21*T1^3*T2^9 - 126*T1^4*T2^9 + 
     256*T1^5*T2^9 + 99*T1^6*T2^9 - 932*T1^7*T2^9 + 1234*T1^8*T2^9 - 
     627*T1^9*T2^9 - 80*T1^10*T2^9 + 156*T1^11*T2^9 - 42*T1^12*T2^9 + 
     37*T1^5*T2^10 - 197*T1^6*T2^10 + 400*T1^7*T2^10 - 271*T1^8*T2^10 - 
     80*T1^9*T2^10 + 283*T1^10*T2^10 - 155*T1^11*T2^10 + 32*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 23*T1^7*T2^11 - 66*T1^8*T2^11 + 
     156*T1^9*T2^11 - 155*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 32*T1^8*T2^12 - 42*T1^9*T2^12 + 
     32*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 166] -> 
  {(2 - 4*T + 5*T^2 - 6*T^3 + 7*T^4 - 6*T^5 + 5*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 160*T1^2 - 191*T1^3 + 223*T1^4 - 191*T1^5 + 160*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 95*T1^2*T2 + 103*T1^3*T2 - 
      112*T1^4*T2 - 8*T1^5*T2 + 15*T1^6*T2 - 23*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 160*T2^2 - 95*T1*T2^2 + 60*T1^2*T2^2 - 136*T1^3*T2^2 + 
      159*T1^4*T2^2 - 28*T1^5*T2^2 + 119*T1^6*T2^2 - 96*T1^7*T2^2 - 
      15*T1^9*T2^2 + 120*T1^10*T2^2 - 191*T2^3 + 103*T1*T2^3 - 
      136*T1^2*T2^3 + 210*T1^3*T2^3 - 181*T1^4*T2^3 + 19*T1^5*T2^3 - 
      117*T1^6*T2^3 - 5*T1^7*T2^3 + 102*T1^8*T2^3 - 76*T1^9*T2^3 - 
      T1^10*T2^3 - 119*T1^11*T2^3 + 223*T2^4 - 112*T1*T2^4 + 159*T1^2*T2^4 - 
      181*T1^3*T2^4 + 140*T1^4*T2^4 + 15*T1^5*T2^4 + 102*T1^6*T2^4 + 
      31*T1^7*T2^4 - 44*T1^8*T2^4 + 11*T1^9*T2^4 + 71*T1^10*T2^4 + 
      16*T1^11*T2^4 + 111*T1^12*T2^4 - 191*T2^5 - 8*T1*T2^5 - 28*T1^2*T2^5 + 
      19*T1^3*T2^5 + 15*T1^4*T2^5 - 122*T1^5*T2^5 - 57*T1^6*T2^5 - 
      51*T1^7*T2^5 - 8*T1^8*T2^5 + 33*T1^9*T2^5 - 101*T1^10*T2^5 - 
      4*T1^11*T2^5 - 80*T1^12*T2^5 - 71*T1^13*T2^5 + 160*T2^6 + 15*T1*T2^6 + 
      119*T1^2*T2^6 - 117*T1^3*T2^6 + 102*T1^4*T2^6 - 57*T1^5*T2^6 + 
      192*T1^6*T2^6 - 2*T1^7*T2^6 + 64*T1^8*T2^6 - 37*T1^9*T2^6 + 
      48*T1^10*T2^6 + 43*T1^11*T2^6 + 63*T1^12*T2^6 + 63*T1^13*T2^6 + 
      40*T1^14*T2^6 - 129*T2^7 - 23*T1*T2^7 - 96*T1^2*T2^7 - 5*T1^3*T2^7 + 
      31*T1^4*T2^7 - 51*T1^5*T2^7 - 2*T1^6*T2^7 - 148*T1^7*T2^7 - 
      28*T1^8*T2^7 + 6*T1^9*T2^7 - 29*T1^10*T2^7 + 21*T1^11*T2^7 - 
      117*T1^12*T2^7 - 36*T1^13*T2^7 - 47*T1^14*T2^7 - 17*T1^15*T2^7 + 
      65*T2^8 + 96*T1*T2^8 + 102*T1^3*T2^8 - 44*T1^4*T2^8 - 8*T1^5*T2^8 + 
      64*T1^6*T2^8 - 28*T1^7*T2^8 + 228*T1^8*T2^8 - 132*T1^9*T2^8 + 
      124*T1^10*T2^8 - 104*T1^11*T2^8 + 96*T1^12*T2^8 + 70*T1^13*T2^8 + 
      24*T1^14*T2^8 + 32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 - 
      15*T1^2*T2^9 - 76*T1^3*T2^9 + 11*T1^4*T2^9 + 33*T1^5*T2^9 - 
      37*T1^6*T2^9 + 6*T1^7*T2^9 - 132*T1^8*T2^9 - 12*T1^9*T2^9 + 
      14*T1^10*T2^9 - 15*T1^11*T2^9 + 23*T1^12*T2^9 - 101*T1^13*T2^9 - 
      16*T1^14*T2^9 - 39*T1^15*T2^9 - T1^16*T2^9 + 120*T1^2*T2^10 - 
      T1^3*T2^10 + 71*T1^4*T2^10 - 101*T1^5*T2^10 + 48*T1^6*T2^10 - 
      29*T1^7*T2^10 + 124*T1^8*T2^10 + 14*T1^9*T2^10 - 4*T1^10*T2^10 - 
      9*T1^11*T2^10 - 6*T1^12*T2^10 + 59*T1^13*T2^10 + 15*T1^14*T2^10 + 
      47*T1^15*T2^10 - 119*T1^3*T2^11 + 16*T1^4*T2^11 - 4*T1^5*T2^11 + 
      43*T1^6*T2^11 + 21*T1^7*T2^11 - 104*T1^8*T2^11 - 15*T1^9*T2^11 - 
      9*T1^10*T2^11 + 10*T1^11*T2^11 + 39*T1^12*T2^11 - 77*T1^13*T2^11 + 
      20*T1^14*T2^11 - 56*T1^15*T2^11 + T1^16*T2^11 + 111*T1^4*T2^12 - 
      80*T1^5*T2^12 + 63*T1^6*T2^12 - 117*T1^7*T2^12 + 96*T1^8*T2^12 + 
      23*T1^9*T2^12 - 6*T1^10*T2^12 + 39*T1^11*T2^12 - 88*T1^12*T2^12 + 
      75*T1^13*T2^12 - 25*T1^14*T2^12 + 48*T1^15*T2^12 - T1^16*T2^12 - 
      71*T1^5*T2^13 + 63*T1^6*T2^13 - 36*T1^7*T2^13 + 70*T1^8*T2^13 - 
      101*T1^9*T2^13 + 59*T1^10*T2^13 - 77*T1^11*T2^13 + 75*T1^12*T2^13 - 
      38*T1^13*T2^13 + 24*T1^14*T2^13 - 41*T1^15*T2^13 + T1^16*T2^13 + 
      40*T1^6*T2^14 - 47*T1^7*T2^14 + 24*T1^8*T2^14 - 16*T1^9*T2^14 + 
      15*T1^10*T2^14 + 20*T1^11*T2^14 - 25*T1^12*T2^14 + 24*T1^13*T2^14 - 
      36*T1^14*T2^14 + 33*T1^15*T2^14 - 17*T1^7*T2^15 + 32*T1^8*T2^15 - 
      39*T1^9*T2^15 + 47*T1^10*T2^15 - 56*T1^11*T2^15 + 48*T1^12*T2^15 - 
      41*T1^13*T2^15 + 33*T1^14*T2^15 - 16*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + T1^13*T2^16 - 
      T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 167] -> 
  {(3 - 9*T + 14*T^2 - 15*T^3 + 14*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-57 + 171*T1 - 268*T1^2 + 289*T1^3 - 268*T1^4 + 171*T1^5 - 57*T1^6 + 
     171*T2 - 421*T1*T2 + 531*T1^2*T2 - 439*T1^3*T2 + 344*T1^4*T2 - 
     90*T1^5*T2 - 97*T1^6*T2 + 90*T1^7*T2 - 268*T2^2 + 531*T1*T2^2 - 
     493*T1^2*T2^2 + 218*T1^3*T2^2 - 93*T1^4*T2^2 - 286*T1^5*T2^2 + 
     431*T1^6*T2^2 - 225*T1^7*T2^2 - 16*T1^8*T2^2 + 289*T2^3 - 439*T1*T2^3 + 
     218*T1^2*T2^3 + 115*T1^3*T2^3 - 106*T1^4*T2^3 + 443*T1^5*T2^3 - 
     353*T1^6*T2^3 - 160*T1^7*T2^3 + 398*T1^8*T2^3 - 116*T1^9*T2^3 - 
     268*T2^4 + 344*T1*T2^4 - 93*T1^2*T2^4 - 106*T1^3*T2^4 - 54*T1^4*T2^4 - 
     326*T1^5*T2^4 + 174*T1^6*T2^4 + 344*T1^7*T2^4 - 171*T1^8*T2^4 - 
     358*T1^9*T2^4 + 236*T1^10*T2^4 + 171*T2^5 - 90*T1*T2^5 - 286*T1^2*T2^5 + 
     443*T1^3*T2^5 - 326*T1^4*T2^5 + 681*T1^5*T2^5 - 303*T1^6*T2^5 - 
     242*T1^7*T2^5 - 304*T1^8*T2^5 + 596*T1^9*T2^5 - 9*T1^10*T2^5 - 
     234*T1^11*T2^5 - 57*T2^6 - 97*T1*T2^6 + 431*T1^2*T2^6 - 353*T1^3*T2^6 + 
     174*T1^4*T2^6 - 303*T1^5*T2^6 - 132*T1^6*T2^6 + 423*T1^7*T2^6 + 
     382*T1^8*T2^6 - 155*T1^9*T2^6 - 553*T1^10*T2^6 + 389*T1^11*T2^6 + 
     105*T1^12*T2^6 + 90*T1*T2^7 - 225*T1^2*T2^7 - 160*T1^3*T2^7 + 
     344*T1^4*T2^7 - 242*T1^5*T2^7 + 423*T1^6*T2^7 - 561*T1^7*T2^7 - 
     158*T1^8*T2^7 - 403*T1^9*T2^7 + 722*T1^10*T2^7 - 144*T1^11*T2^7 - 
     315*T1^12*T2^7 - 16*T1^2*T2^8 + 398*T1^3*T2^8 - 171*T1^4*T2^8 - 
     304*T1^5*T2^8 + 382*T1^6*T2^8 - 158*T1^7*T2^8 + 610*T1^8*T2^8 + 
     146*T1^9*T2^8 - 249*T1^10*T2^8 - 304*T1^11*T2^8 + 488*T1^12*T2^8 - 
     116*T1^3*T2^9 - 358*T1^4*T2^9 + 596*T1^5*T2^9 - 155*T1^6*T2^9 - 
     403*T1^7*T2^9 + 146*T1^8*T2^9 - 623*T1^9*T2^9 + 218*T1^10*T2^9 + 
     479*T1^11*T2^9 - 521*T1^12*T2^9 + 236*T1^4*T2^10 - 9*T1^5*T2^10 - 
     553*T1^6*T2^10 + 722*T1^7*T2^10 - 249*T1^8*T2^10 + 218*T1^9*T2^10 + 
     371*T1^10*T2^10 - 765*T1^11*T2^10 + 488*T1^12*T2^10 - 234*T1^5*T2^11 + 
     389*T1^6*T2^11 - 144*T1^7*T2^11 - 304*T1^8*T2^11 + 479*T1^9*T2^11 - 
     765*T1^10*T2^11 + 713*T1^11*T2^11 - 315*T1^12*T2^11 + 105*T1^6*T2^12 - 
     315*T1^7*T2^12 + 488*T1^8*T2^12 - 521*T1^9*T2^12 + 488*T1^10*T2^12 - 
     315*T1^11*T2^12 + 105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 168] -> 
  {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 40*T1^2 + 45*T1^3 - 40*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      107*T1*T2 + 99*T1^2*T2 - 65*T1^3*T2 + 20*T1^4*T2 + 34*T1^5*T2 - 
      77*T1^6*T2 + 20*T1^7*T2 - 40*T2^2 + 99*T1*T2^2 + 182*T1^2*T2^2 - 
      352*T1^3*T2^2 + 428*T1^4*T2^2 - 416*T1^5*T2^2 + 294*T1^6*T2^2 + 
      19*T1^7*T2^2 - 24*T1^8*T2^2 + 45*T2^3 - 65*T1*T2^3 - 352*T1^2*T2^3 + 
      315*T1^3*T2^3 - 227*T1^4*T2^3 + 102*T1^5*T2^3 + 65*T1^6*T2^3 - 
      328*T1^7*T2^3 + 30*T1^8*T2^3 + 18*T1^9*T2^3 - 40*T2^4 + 20*T1*T2^4 + 
      428*T1^2*T2^4 - 227*T1^3*T2^4 + 183*T1^4*T2^4 - 121*T1^5*T2^4 + 
      47*T1^6*T2^4 + 115*T1^7*T2^4 + 234*T1^8*T2^4 - 50*T1^9*T2^4 - 
      8*T1^10*T2^4 + 25*T2^5 + 34*T1*T2^5 - 416*T1^2*T2^5 + 102*T1^3*T2^5 - 
      121*T1^4*T2^5 + 107*T1^5*T2^5 - 79*T1^6*T2^5 - 57*T1^7*T2^5 - 
      201*T1^8*T2^5 - 88*T1^9*T2^5 + 39*T1^10*T2^5 - 5*T2^6 - 77*T1*T2^6 + 
      294*T1^2*T2^6 + 65*T1^3*T2^6 + 47*T1^4*T2^6 - 79*T1^5*T2^6 + 
      36*T1^6*T2^6 + 79*T1^7*T2^6 + 91*T1^8*T2^6 + 171*T1^9*T2^6 - 
      30*T1^10*T2^6 - 7*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 19*T1^2*T2^7 - 
      328*T1^3*T2^7 + 115*T1^4*T2^7 - 57*T1^5*T2^7 + 79*T1^6*T2^7 - 
      107*T1^7*T2^7 + 7*T1^8*T2^7 - 188*T1^9*T2^7 + 24*T1^11*T2^7 - 
      5*T1^12*T2^7 - 24*T1^2*T2^8 + 30*T1^3*T2^8 + 234*T1^4*T2^8 - 
      201*T1^5*T2^8 + 91*T1^6*T2^8 + 7*T1^7*T2^8 - 45*T1^8*T2^8 + 
      141*T1^9*T2^8 + 40*T1^10*T2^8 - 40*T1^11*T2^8 + 8*T1^12*T2^8 + 
      18*T1^3*T2^9 - 50*T1^4*T2^9 - 88*T1^5*T2^9 + 171*T1^6*T2^9 - 
      188*T1^7*T2^9 + 141*T1^8*T2^9 - 79*T1^9*T2^9 - 64*T1^10*T2^9 + 
      45*T1^11*T2^9 - 9*T1^12*T2^9 - 8*T1^4*T2^10 + 39*T1^5*T2^10 - 
      30*T1^6*T2^10 + 40*T1^8*T2^10 - 64*T1^9*T2^10 + 82*T1^10*T2^10 - 
      41*T1^11*T2^10 + 8*T1^12*T2^10 - 7*T1^6*T2^11 + 24*T1^7*T2^11 - 
      40*T1^8*T2^11 + 45*T1^9*T2^11 - 41*T1^10*T2^11 + 23*T1^11*T2^11 - 
      5*T1^12*T2^11 + T1^6*T2^12 - 5*T1^7*T2^12 + 8*T1^8*T2^12 - 
      9*T1^9*T2^12 + 8*T1^10*T2^12 - 5*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 169] -> 
  {(4 - 9*T + 9*T^2 - 7*T^3 + 9*T^4 - 9*T^5 + 4*T^6)/T^3, 
   -((400 - 892*T1 + 884*T1^2 - 680*T1^3 + 884*T1^4 - 892*T1^5 + 400*T1^6 - 
      892*T2 + 1246*T1*T2 - 312*T1^2*T2 - 128*T1^3*T2 - 704*T1^4*T2 + 
      336*T1^5*T2 + 778*T1^6*T2 - 748*T1^7*T2 + 884*T2^2 - 312*T1*T2^2 - 
      1195*T1^2*T2^2 + 931*T1^3*T2^2 + 329*T1^4*T2^2 + 787*T1^5*T2^2 - 
      1555*T1^6*T2^2 + 336*T1^7*T2^2 + 596*T1^8*T2^2 - 680*T2^3 - 
      128*T1*T2^3 + 931*T1^2*T2^3 + 13*T1^3*T2^3 - 807*T1^4*T2^3 - 
      591*T1^5*T2^3 + 547*T1^6*T2^3 + 634*T1^7*T2^3 - 560*T1^8*T2^3 - 
      344*T1^9*T2^3 + 884*T2^4 - 704*T1*T2^4 + 329*T1^2*T2^4 - 
      807*T1^3*T2^4 + 1173*T1^4*T2^4 - 181*T1^5*T2^4 + 201*T1^6*T2^4 - 
      429*T1^7*T2^4 + 167*T1^8*T2^4 + 88*T1^9*T2^4 + 308*T1^10*T2^4 - 
      892*T2^5 + 336*T1*T2^5 + 787*T1^2*T2^5 - 591*T1^3*T2^5 - 
      181*T1^4*T2^5 - 468*T1^5*T2^5 + 558*T1^6*T2^5 - 100*T1^7*T2^5 - 
      483*T1^8*T2^5 + 472*T1^9*T2^5 - 312*T1^10*T2^5 - 172*T1^11*T2^5 + 
      400*T2^6 + 778*T1*T2^6 - 1555*T1^2*T2^6 + 547*T1^3*T2^6 + 
      201*T1^4*T2^6 + 558*T1^5*T2^6 - 240*T1^6*T2^6 - 522*T1^7*T2^6 + 
      795*T1^8*T2^6 - 239*T1^9*T2^6 - 151*T1^10*T2^6 + 346*T1^11*T2^6 + 
      16*T1^12*T2^6 - 748*T1*T2^7 + 336*T1^2*T2^7 + 634*T1^3*T2^7 - 
      429*T1^4*T2^7 - 100*T1^5*T2^7 - 522*T1^6*T2^7 + 504*T1^7*T2^7 - 
      19*T1^8*T2^7 - 321*T1^9*T2^7 + 319*T1^10*T2^7 - 312*T1^11*T2^7 - 
      28*T1^12*T2^7 + 596*T1^2*T2^8 - 560*T1^3*T2^8 + 167*T1^4*T2^8 - 
      483*T1^5*T2^8 + 795*T1^6*T2^8 - 19*T1^7*T2^8 - 177*T1^8*T2^8 - 
      105*T1^9*T2^8 + 5*T1^10*T2^8 + 232*T1^11*T2^8 + 20*T1^12*T2^8 - 
      344*T1^3*T2^9 + 88*T1^4*T2^9 + 472*T1^5*T2^9 - 239*T1^6*T2^9 - 
      321*T1^7*T2^9 - 105*T1^8*T2^9 + 295*T1^9*T2^9 + 175*T1^10*T2^9 - 
      344*T1^11*T2^9 - 8*T1^12*T2^9 + 308*T1^4*T2^10 - 312*T1^5*T2^10 - 
      151*T1^6*T2^10 + 319*T1^7*T2^10 + 5*T1^8*T2^10 + 175*T1^9*T2^10 - 
      511*T1^10*T2^10 + 336*T1^11*T2^10 + 20*T1^12*T2^10 - 172*T1^5*T2^11 + 
      346*T1^6*T2^11 - 312*T1^7*T2^11 + 232*T1^8*T2^11 - 344*T1^9*T2^11 + 
      336*T1^10*T2^11 - 122*T1^11*T2^11 - 28*T1^12*T2^11 + 16*T1^6*T2^12 - 
      28*T1^7*T2^12 + 20*T1^8*T2^12 - 8*T1^9*T2^12 + 20*T1^10*T2^12 - 
      28*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 170] -> {((3 - 4*T + 2*T^2)*(2 - 4*T + 3*T^2))/T^2, 
   (-429 + 1431*T1 - 2071*T1^2 + 1431*T1^3 - 429*T1^4 + 1431*T2 - 
     4050*T1*T2 + 4528*T1^2*T2 - 1352*T1^3*T2 - 930*T1^4*T2 + 711*T1^5*T2 - 
     2071*T2^2 + 4528*T1*T2^2 - 2138*T1^2*T2^2 - 4466*T1^3*T2^2 + 
     5866*T1^4*T2^2 - 2432*T1^5*T2^2 + 17*T1^6*T2^2 + 1431*T2^3 - 
     1352*T1*T2^3 - 4466*T1^2*T2^3 + 11124*T1^3*T2^3 - 7936*T1^4*T2^3 + 
     174*T1^5*T2^3 + 2368*T1^6*T2^3 - 729*T1^7*T2^3 - 429*T2^4 - 
     930*T1*T2^4 + 5866*T1^2*T2^4 - 7936*T1^3*T2^4 + 480*T1^4*T2^4 + 
     7584*T1^5*T2^4 - 5958*T1^6*T2^4 + 990*T1^7*T2^4 + 435*T1^8*T2^4 + 
     711*T1*T2^5 - 2432*T1^2*T2^5 + 174*T1^3*T2^5 + 7584*T1^4*T2^5 - 
     11476*T1^5*T2^5 + 4814*T1^6*T2^5 + 1288*T1^7*T2^5 - 1449*T1^8*T2^5 + 
     17*T1^2*T2^6 + 2368*T1^3*T2^6 - 5958*T1^4*T2^6 + 4814*T1^5*T2^6 + 
     2046*T1^6*T2^6 - 4592*T1^7*T2^6 + 2105*T1^8*T2^6 - 729*T1^3*T2^7 + 
     990*T1^4*T2^7 + 1288*T1^5*T2^7 - 4592*T1^6*T2^7 + 4110*T1^7*T2^7 - 
     1449*T1^8*T2^7 + 435*T1^4*T2^8 - 1449*T1^5*T2^8 + 2105*T1^6*T2^8 - 
     1449*T1^7*T2^8 + 435*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 171] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-25 + 125*T1 - 187*T1^2 + 125*T1^3 - 25*T1^4 + 125*T2 - 556*T1*T2 + 
      514*T1^2*T2 + 14*T1^3*T2 - 316*T1^4*T2 + 85*T1^5*T2 - 187*T2^2 + 
      514*T1*T2^2 + 805*T1^2*T2^2 - 2087*T1^3*T2^2 + 1585*T1^4*T2^2 - 
      86*T1^5*T2^2 - 67*T1^6*T2^2 + 125*T2^3 + 14*T1*T2^3 - 2087*T1^2*T2^3 + 
      2498*T1^3*T2^3 - 532*T1^4*T2^3 - 1187*T1^5*T2^3 + 314*T1^6*T2^3 + 
      5*T1^7*T2^3 - 25*T2^4 - 316*T1*T2^4 + 1585*T1^2*T2^4 - 532*T1^3*T2^4 - 
      1512*T1^4*T2^4 + 1908*T1^5*T2^4 - 175*T1^6*T2^4 - 76*T1^7*T2^4 + 
      7*T1^8*T2^4 + 85*T1*T2^5 - 86*T1^2*T2^5 - 1187*T1^3*T2^5 + 
      1908*T1^4*T2^5 - 1122*T1^5*T2^5 - 287*T1^6*T2^5 + 214*T1^7*T2^5 - 
      35*T1^8*T2^5 - 67*T1^2*T2^6 + 314*T1^3*T2^6 - 175*T1^4*T2^6 - 
      287*T1^5*T2^6 + 605*T1^6*T2^6 - 286*T1^7*T2^6 + 53*T1^8*T2^6 + 
      5*T1^3*T2^7 - 76*T1^4*T2^7 + 214*T1^5*T2^7 - 286*T1^6*T2^7 + 
      164*T1^7*T2^7 - 35*T1^8*T2^7 + 7*T1^4*T2^8 - 35*T1^5*T2^8 + 
      53*T1^6*T2^8 - 35*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 172] -> 
  {-((1 - 5*T + 6*T^2 - T^3 - 3*T^4 - T^5 + 6*T^6 - 5*T^7 + T^8)/T^4), 
   -((-7 + 35*T1 - 42*T1^2 + 7*T1^3 + 21*T1^4 + 7*T1^5 - 42*T1^6 + 35*T1^7 - 
      7*T1^8 + 35*T2 - 145*T1*T2 + 60*T1^2*T2 + 145*T1^3*T2 - 135*T1^4*T2 - 
      125*T1^5*T2 + 180*T1^6*T2 + 5*T1^7*T2 - 115*T1^8*T2 + 30*T1^9*T2 - 
      42*T2^2 + 60*T1*T2^2 + 462*T1^2*T2^2 - 698*T1^3*T2^2 + 92*T1^4*T2^2 + 
      520*T1^5*T2^2 - 16*T1^6*T2^2 - 650*T1^7*T2^2 + 522*T1^8*T2^2 - 
      30*T1^10*T2^2 + 7*T2^3 + 145*T1*T2^3 - 698*T1^2*T2^3 + 323*T1^3*T2^3 + 
      661*T1^4*T2^3 - 658*T1^5*T2^3 - 577*T1^6*T2^3 + 865*T1^7*T2^3 - 
      T1^8*T2^3 - 536*T1^9*T2^3 + 130*T1^10*T2^3 + 4*T1^11*T2^3 + 21*T2^4 - 
      135*T1*T2^4 + 92*T1^2*T2^4 + 661*T1^3*T2^4 - 957*T1^4*T2^4 + 
      73*T1^5*T2^4 + 745*T1^6*T2^4 - 65*T1^7*T2^4 - 869*T1^8*T2^4 + 
      723*T1^9*T2^4 - 30*T1^10*T2^4 - 65*T1^11*T2^4 + 9*T1^12*T2^4 + 7*T2^5 - 
      125*T1*T2^5 + 520*T1^2*T2^5 - 658*T1^3*T2^5 + 73*T1^4*T2^5 + 
      548*T1^5*T2^5 - 218*T1^6*T2^5 - 576*T1^7*T2^5 + 690*T1^8*T2^5 - 
      68*T1^9*T2^5 - 347*T1^10*T2^5 + 259*T1^11*T2^5 - 55*T1^12*T2^5 + 
      2*T1^13*T2^5 - 42*T2^6 + 180*T1*T2^6 - 16*T1^2*T2^6 - 577*T1^3*T2^6 + 
      745*T1^4*T2^6 - 218*T1^5*T2^6 - 259*T1^6*T2^6 + 53*T1^7*T2^6 + 
      325*T1^8*T2^6 - 478*T1^9*T2^6 + 437*T1^10*T2^6 - 313*T1^11*T2^6 + 
      64*T1^12*T2^6 + 20*T1^13*T2^6 - 6*T1^14*T2^6 + 35*T2^7 + 5*T1*T2^7 - 
      650*T1^2*T2^7 + 865*T1^3*T2^7 - 65*T1^4*T2^7 - 576*T1^5*T2^7 + 
      53*T1^6*T2^7 + 722*T1^7*T2^7 - 598*T1^8*T2^7 + 86*T1^9*T2^7 - 
      22*T1^10*T2^7 + 64*T1^11*T2^7 + 93*T1^12*T2^7 - 128*T1^13*T2^7 + 
      30*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 522*T1^2*T2^8 - T1^3*T2^8 - 
      869*T1^4*T2^8 + 690*T1^5*T2^8 + 325*T1^6*T2^8 - 598*T1^7*T2^8 - 
      180*T1^8*T2^8 + 670*T1^9*T2^8 - 345*T1^10*T2^8 + 98*T1^11*T2^8 - 
      189*T1^12*T2^8 + 173*T1^13*T2^8 - 36*T1^14*T2^8 - 5*T1^15*T2^8 + 
      T1^16*T2^8 + 30*T1*T2^9 - 536*T1^3*T2^9 + 723*T1^4*T2^9 - 
      68*T1^5*T2^9 - 478*T1^6*T2^9 + 86*T1^7*T2^9 + 670*T1^8*T2^9 - 
      650*T1^9*T2^9 + 119*T1^10*T2^9 + 76*T1^11*T2^9 + 61*T1^12*T2^9 - 
      49*T1^13*T2^9 - 14*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 
      30*T1^2*T2^10 + 130*T1^3*T2^10 - 30*T1^4*T2^10 - 347*T1^5*T2^10 + 
      437*T1^6*T2^10 - 22*T1^7*T2^10 - 345*T1^8*T2^10 + 119*T1^9*T2^10 + 
      239*T1^10*T2^10 - 282*T1^11*T2^10 + 129*T1^12*T2^10 - 83*T1^13*T2^10 + 
      50*T1^14*T2^10 - 30*T1^15*T2^10 + 6*T1^16*T2^10 + 4*T1^3*T2^11 - 
      65*T1^4*T2^11 + 259*T1^5*T2^11 - 313*T1^6*T2^11 + 64*T1^7*T2^11 + 
      98*T1^8*T2^11 + 76*T1^9*T2^11 - 282*T1^10*T2^11 + 240*T1^11*T2^11 - 
      77*T1^12*T2^11 - 2*T1^13*T2^11 - 2*T1^14*T2^11 + 5*T1^15*T2^11 - 
      T1^16*T2^11 + 9*T1^4*T2^12 - 55*T1^5*T2^12 + 64*T1^6*T2^12 + 
      93*T1^7*T2^12 - 189*T1^8*T2^12 + 61*T1^9*T2^12 + 129*T1^10*T2^12 - 
      77*T1^11*T2^12 - 101*T1^12*T2^12 + 155*T1^13*T2^12 - 58*T1^14*T2^12 + 
      15*T1^15*T2^12 - 3*T1^16*T2^12 + 2*T1^5*T2^13 + 20*T1^6*T2^13 - 
      128*T1^7*T2^13 + 173*T1^8*T2^13 - 49*T1^9*T2^13 - 83*T1^10*T2^13 - 
      2*T1^11*T2^13 + 155*T1^12*T2^13 - 151*T1^13*T2^13 + 34*T1^14*T2^13 + 
      5*T1^15*T2^13 - T1^16*T2^13 - 6*T1^6*T2^14 + 30*T1^7*T2^14 - 
      36*T1^8*T2^14 - 14*T1^9*T2^14 + 50*T1^10*T2^14 - 2*T1^11*T2^14 - 
      58*T1^12*T2^14 + 34*T1^13*T2^14 + 24*T1^14*T2^14 - 30*T1^15*T2^14 + 
      6*T1^16*T2^14 - 5*T1^8*T2^15 + 25*T1^9*T2^15 - 30*T1^10*T2^15 + 
      5*T1^11*T2^15 + 15*T1^12*T2^15 + 5*T1^13*T2^15 - 30*T1^14*T2^15 + 
      25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      6*T1^10*T2^16 - T1^11*T2^16 - 3*T1^12*T2^16 - T1^13*T2^16 + 
      6*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 173] -> 
  {-((1 - 6*T + 16*T^2 - 25*T^3 + 27*T^4 - 25*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 80*T1^2 + 125*T1^3 - 135*T1^4 + 125*T1^5 - 
      80*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 336*T1^2*T2 - 
      366*T1^3*T2 + 210*T1^4*T2 - 102*T1^5*T2 - 120*T1^6*T2 + 204*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 80*T2^2 + 336*T1*T2^2 - 463*T1^2*T2^2 - 
      21*T1^3*T2^2 + 685*T1^4*T2^2 - 709*T1^5*T2^2 + 1037*T1^6*T2^2 - 
      629*T1^7*T2^2 + 17*T1^8*T2^2 + 144*T1^9*T2^2 - 48*T1^10*T2^2 + 
      125*T2^3 - 366*T1*T2^3 - 21*T1^2*T2^3 + 1361*T1^3*T2^3 - 
      1956*T1^4*T2^3 + 883*T1^5*T2^3 - 1034*T1^6*T2^3 - 495*T1^7*T2^3 + 
      1199*T1^8*T2^3 - 549*T1^9*T2^3 - 12*T1^10*T2^3 + 50*T1^11*T2^3 - 
      135*T2^4 + 210*T1*T2^4 + 685*T1^2*T2^4 - 1956*T1^3*T2^4 + 
      879*T1^4*T2^4 + 1770*T1^5*T2^4 - 1079*T1^6*T2^4 + 3018*T1^7*T2^4 - 
      2013*T1^8*T2^4 - 156*T1^9*T2^4 + 613*T1^10*T2^4 - 138*T1^11*T2^4 - 
      27*T1^12*T2^4 + 125*T2^5 - 102*T1*T2^5 - 709*T1^2*T2^5 + 
      883*T1^3*T2^5 + 1770*T1^4*T2^5 - 4015*T1^5*T2^5 + 1199*T1^6*T2^5 - 
      2425*T1^7*T2^5 - 403*T1^8*T2^5 + 2231*T1^9*T2^5 - 968*T1^10*T2^5 - 
      193*T1^11*T2^5 + 162*T1^12*T2^5 - 80*T2^6 - 120*T1*T2^6 + 
      1037*T1^2*T2^6 - 1034*T1^3*T2^6 - 1079*T1^4*T2^6 + 1199*T1^5*T2^6 + 
      2972*T1^6*T2^6 - 1008*T1^7*T2^6 + 2516*T1^8*T2^6 - 2017*T1^9*T2^6 - 
      527*T1^10*T2^6 + 982*T1^11*T2^6 - 163*T1^12*T2^6 - 96*T1^13*T2^6 + 
      16*T1^14*T2^6 + 30*T2^7 + 204*T1*T2^7 - 629*T1^2*T2^7 - 495*T1^3*T2^7 + 
      3018*T1^4*T2^7 - 2425*T1^5*T2^7 - 1008*T1^6*T2^7 - 2241*T1^7*T2^7 + 
      1593*T1^8*T2^7 - 1125*T1^9*T2^7 + 2015*T1^10*T2^7 - 591*T1^11*T2^7 - 
      600*T1^12*T2^7 + 379*T1^13*T2^7 - 24*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 17*T1^2*T2^8 + 1199*T1^3*T2^8 - 2013*T1^4*T2^8 - 
      403*T1^5*T2^8 + 2516*T1^6*T2^8 + 1593*T1^7*T2^8 - 852*T1^8*T2^8 - 
      921*T1^9*T2^8 + 118*T1^10*T2^8 - 1621*T1^11*T2^8 + 1687*T1^12*T2^8 - 
      439*T1^13*T2^8 - 127*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 144*T1^2*T2^9 - 549*T1^3*T2^9 - 156*T1^4*T2^9 + 
      2231*T1^5*T2^9 - 2017*T1^6*T2^9 - 1125*T1^7*T2^9 - 921*T1^8*T2^9 + 
      2913*T1^9*T2^9 - 1242*T1^10*T2^9 + 2423*T1^11*T2^9 - 1378*T1^12*T2^9 - 
      261*T1^13*T2^9 + 459*T1^14*T2^9 - 84*T1^15*T2^9 - 18*T1^16*T2^9 - 
      48*T1^2*T2^10 - 12*T1^3*T2^10 + 613*T1^4*T2^10 - 968*T1^5*T2^10 - 
      527*T1^6*T2^10 + 2015*T1^7*T2^10 + 118*T1^8*T2^10 - 1242*T1^9*T2^10 - 
      338*T1^10*T2^10 - 1201*T1^11*T2^10 + 25*T1^12*T2^10 + 
      1048*T1^13*T2^10 - 587*T1^14*T2^10 + 12*T1^15*T2^10 + 48*T1^16*T2^10 + 
      50*T1^3*T2^11 - 138*T1^4*T2^11 - 193*T1^5*T2^11 + 982*T1^6*T2^11 - 
      591*T1^7*T2^11 - 1621*T1^8*T2^11 + 2423*T1^9*T2^11 - 1201*T1^10*T2^11 + 
      1991*T1^11*T2^11 - 130*T1^12*T2^11 - 869*T1^13*T2^11 + 
      323*T1^14*T2^11 + 126*T1^15*T2^11 - 75*T1^16*T2^11 - 27*T1^4*T2^12 + 
      162*T1^5*T2^12 - 163*T1^6*T2^12 - 600*T1^7*T2^12 + 1687*T1^8*T2^12 - 
      1378*T1^9*T2^12 + 25*T1^10*T2^12 - 130*T1^11*T2^12 - 1205*T1^12*T2^12 + 
      1200*T1^13*T2^12 - 235*T1^14*T2^12 - 186*T1^15*T2^12 + 81*T1^16*T2^12 - 
      96*T1^6*T2^13 + 379*T1^7*T2^13 - 439*T1^8*T2^13 - 261*T1^9*T2^13 + 
      1048*T1^10*T2^13 - 869*T1^11*T2^13 + 1200*T1^12*T2^13 - 
      601*T1^13*T2^13 - 149*T1^14*T2^13 + 258*T1^15*T2^13 - 75*T1^16*T2^13 + 
      16*T1^6*T2^14 - 24*T1^7*T2^14 - 127*T1^8*T2^14 + 459*T1^9*T2^14 - 
      587*T1^10*T2^14 + 323*T1^11*T2^14 - 235*T1^12*T2^14 - 149*T1^13*T2^14 + 
      353*T1^14*T2^14 - 216*T1^15*T2^14 + 48*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 84*T1^9*T2^15 + 12*T1^10*T2^15 + 126*T1^11*T2^15 - 
      186*T1^12*T2^15 + 258*T1^13*T2^15 - 216*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 48*T1^10*T2^16 - 
      75*T1^11*T2^16 + 81*T1^12*T2^16 - 75*T1^13*T2^16 + 48*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 174] -> 
  {(1 - 6*T + 18*T^2 - 35*T^3 + 45*T^4 - 35*T^5 + 18*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 72*T1^2 + 140*T1^3 - 180*T1^4 + 140*T1^5 - 72*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 324*T1^2*T2 - 516*T1^3*T2 + 
     450*T1^4*T2 - 30*T1^5*T2 - 198*T1^6*T2 + 180*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 72*T2^2 + 324*T1*T2^2 - 685*T1^2*T2^2 + 799*T1^3*T2^2 - 
     127*T1^4*T2^2 - 1055*T1^5*T2^2 + 845*T1^6*T2^2 - 245*T1^7*T2^2 - 
     73*T1^8*T2^2 + 108*T1^9*T2^2 - 36*T1^10*T2^2 + 140*T2^3 - 516*T1*T2^3 + 
     799*T1^2*T2^3 - 369*T1^3*T2^3 - 1284*T1^4*T2^3 + 2713*T1^5*T2^3 - 
     362*T1^6*T2^3 - 915*T1^7*T2^3 + 819*T1^8*T2^3 - 335*T1^9*T2^3 + 
     6*T1^10*T2^3 + 35*T1^11*T2^3 - 180*T2^4 + 450*T1*T2^4 - 127*T1^2*T2^4 - 
     1284*T1^3*T2^4 + 3482*T1^4*T2^4 - 3300*T1^5*T2^4 - 2786*T1^6*T2^4 + 
     2820*T1^7*T2^4 - 778*T1^8*T2^4 - 444*T1^9*T2^4 + 593*T1^10*T2^4 - 
     210*T1^11*T2^4 + 140*T2^5 - 30*T1*T2^5 - 1055*T1^2*T2^5 + 
     2713*T1^3*T2^5 - 3300*T1^4*T2^5 - 841*T1^5*T2^5 + 8953*T1^6*T2^5 - 
     2717*T1^7*T2^5 - 2461*T1^8*T2^5 + 2865*T1^9*T2^5 - 1332*T1^10*T2^5 + 
     25*T1^11*T2^5 + 210*T1^12*T2^5 - 35*T1^13*T2^5 - 72*T2^6 - 198*T1*T2^6 + 
     845*T1^2*T2^6 - 362*T1^3*T2^6 - 2786*T1^4*T2^6 + 8953*T1^5*T2^6 - 
     11006*T1^6*T2^6 - 5658*T1^7*T2^6 + 10210*T1^8*T2^6 - 4847*T1^9*T2^6 + 
     214*T1^10*T2^6 + 1258*T1^11*T2^6 - 631*T1^12*T2^6 - 6*T1^13*T2^6 + 
     36*T1^14*T2^6 + 24*T2^7 + 180*T1*T2^7 - 245*T1^2*T2^7 - 915*T1^3*T2^7 + 
     2820*T1^4*T2^7 - 2717*T1^5*T2^7 - 5658*T1^6*T2^7 + 23029*T1^7*T2^7 - 
     15467*T1^8*T2^7 + 111*T1^9*T2^7 + 4693*T1^10*T2^7 - 3165*T1^11*T2^7 + 
     600*T1^12*T2^7 + 349*T1^13*T2^7 - 108*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 - 73*T1^2*T2^8 + 819*T1^3*T2^8 - 778*T1^4*T2^8 - 
     2461*T1^5*T2^8 + 10210*T1^6*T2^8 - 15467*T1^7*T2^8 - 2220*T1^8*T2^8 + 
     16723*T1^9*T2^8 - 11232*T1^10*T2^8 + 3269*T1^11*T2^8 + 650*T1^12*T2^8 - 
     899*T1^13*T2^8 + 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 108*T1^2*T2^9 - 335*T1^3*T2^9 - 444*T1^4*T2^9 + 
     2865*T1^5*T2^9 - 4847*T1^6*T2^9 + 111*T1^7*T2^9 + 16723*T1^8*T2^9 - 
     21773*T1^9*T2^9 + 5880*T1^10*T2^9 + 2563*T1^11*T2^9 - 3120*T1^12*T2^9 + 
     1071*T1^13*T2^9 + 259*T1^14*T2^9 - 180*T1^15*T2^9 - 24*T1^16*T2^9 - 
     36*T1^2*T2^10 + 6*T1^3*T2^10 + 593*T1^4*T2^10 - 1332*T1^5*T2^10 + 
     214*T1^6*T2^10 + 4693*T1^7*T2^10 - 11232*T1^8*T2^10 + 5880*T1^9*T2^10 + 
     9984*T1^10*T2^10 - 9107*T1^11*T2^10 + 3214*T1^12*T2^10 + 
     288*T1^13*T2^10 - 883*T1^14*T2^10 + 198*T1^15*T2^10 + 72*T1^16*T2^10 + 
     35*T1^3*T2^11 - 210*T1^4*T2^11 + 25*T1^5*T2^11 + 1258*T1^6*T2^11 - 
     3165*T1^7*T2^11 + 3269*T1^8*T2^11 + 2563*T1^9*T2^11 - 9107*T1^10*T2^11 + 
     1649*T1^11*T2^11 + 3000*T1^12*T2^11 - 2787*T1^13*T2^11 + 
     1105*T1^14*T2^11 + 30*T1^15*T2^11 - 140*T1^16*T2^11 + 210*T1^5*T2^12 - 
     631*T1^6*T2^12 + 600*T1^7*T2^12 + 650*T1^8*T2^12 - 3120*T1^9*T2^12 + 
     3214*T1^10*T2^12 + 3000*T1^11*T2^12 - 3610*T1^12*T2^12 + 
     1440*T1^13*T2^12 + 89*T1^14*T2^12 - 450*T1^15*T2^12 + 180*T1^16*T2^12 - 
     35*T1^5*T2^13 - 6*T1^6*T2^13 + 349*T1^7*T2^13 - 899*T1^8*T2^13 + 
     1071*T1^9*T2^13 + 288*T1^10*T2^13 - 2787*T1^11*T2^13 + 
     1440*T1^12*T2^13 + 289*T1^13*T2^13 - 785*T1^14*T2^13 + 516*T1^15*T2^13 - 
     140*T1^16*T2^13 + 36*T1^6*T2^14 - 108*T1^7*T2^14 + 71*T1^8*T2^14 + 
     259*T1^9*T2^14 - 883*T1^10*T2^14 + 1105*T1^11*T2^14 + 89*T1^12*T2^14 - 
     785*T1^13*T2^14 + 683*T1^14*T2^14 - 324*T1^15*T2^14 + 72*T1^16*T2^14 - 
     18*T1^7*T2^15 + 84*T1^8*T2^15 - 180*T1^9*T2^15 + 198*T1^10*T2^15 + 
     30*T1^11*T2^15 - 450*T1^12*T2^15 + 516*T1^13*T2^15 - 324*T1^14*T2^15 + 
     126*T1^15*T2^15 - 24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 
     72*T1^10*T2^16 - 140*T1^11*T2^16 + 180*T1^12*T2^16 - 140*T1^13*T2^16 + 
     72*T1^14*T2^16 - 24*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 175] -> 
  {(1 - 4*T + 4*T^2 + 5*T^3 - 11*T^4 + 5*T^5 + 4*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 24*T1^2 - 30*T1^3 + 66*T1^4 - 30*T1^5 - 24*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 16*T1^2*T2 + 200*T1^3*T2 - 164*T1^4*T2 - 
     100*T1^5*T2 + 196*T1^6*T2 - 16*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     24*T2^2 + 16*T1*T2^2 + 208*T1^2*T2^2 - 376*T1^3*T2^2 - 201*T1^4*T2^2 + 
     680*T1^5*T2^2 - 321*T1^6*T2^2 - 304*T1^7*T2^2 + 232*T1^8*T2^2 - 
     16*T1^9*T2^2 - 16*T1^10*T2^2 - 30*T2^3 + 200*T1*T2^3 - 376*T1^2*T2^3 - 
     103*T1^3*T2^3 + 1048*T1^4*T2^3 - 764*T1^5*T2^3 - 493*T1^6*T2^3 + 
     927*T1^7*T2^3 - 171*T1^8*T2^3 - 236*T1^9*T2^3 + 124*T1^10*T2^3 - 
     15*T1^11*T2^3 + 66*T2^4 - 164*T1*T2^4 - 201*T1^2*T2^4 + 1048*T1^3*T2^4 - 
     685*T1^4*T2^4 - 962*T1^5*T2^4 + 1837*T1^6*T2^4 - 758*T1^7*T2^4 - 
     517*T1^8*T2^4 + 708*T1^9*T2^4 - 217*T1^10*T2^4 - 28*T1^11*T2^4 + 
     22*T1^12*T2^4 - 30*T2^5 - 100*T1*T2^5 + 680*T1^2*T2^5 - 764*T1^3*T2^5 - 
     962*T1^4*T2^5 + 1967*T1^5*T2^5 - 914*T1^6*T2^5 - 902*T1^7*T2^5 + 
     1163*T1^8*T2^5 - 549*T1^9*T2^5 - 211*T1^10*T2^5 + 272*T1^11*T2^5 - 
     68*T1^12*T2^5 - 5*T1^13*T2^5 - 24*T2^6 + 196*T1*T2^6 - 321*T1^2*T2^6 - 
     493*T1^3*T2^6 + 1837*T1^4*T2^6 - 914*T1^5*T2^6 - 1640*T1^6*T2^6 + 
     2604*T1^7*T2^6 - 968*T1^8*T2^6 - 626*T1^9*T2^6 + 909*T1^10*T2^6 - 
     341*T1^11*T2^6 + 7*T1^12*T2^6 + 20*T1^13*T2^6 + 24*T2^7 - 16*T1*T2^7 - 
     304*T1^2*T2^7 + 927*T1^3*T2^7 - 758*T1^4*T2^7 - 902*T1^5*T2^7 + 
     2604*T1^6*T2^7 - 1469*T1^7*T2^7 - 1029*T1^8*T2^7 + 1697*T1^9*T2^7 - 
     362*T1^10*T2^7 - 335*T1^11*T2^7 + 172*T1^12*T2^7 - 36*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 232*T1^2*T2^8 - 
     171*T1^3*T2^8 - 517*T1^4*T2^8 + 1163*T1^5*T2^8 - 968*T1^6*T2^8 - 
     1029*T1^7*T2^8 + 2160*T1^8*T2^8 - 947*T1^9*T2^8 - 774*T1^10*T2^8 + 
     617*T1^11*T2^8 - 69*T1^12*T2^8 + 47*T1^13*T2^8 - 56*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 - 16*T1^2*T2^9 - 
     236*T1^3*T2^9 + 708*T1^4*T2^9 - 549*T1^5*T2^9 - 626*T1^6*T2^9 + 
     1697*T1^7*T2^9 - 947*T1^8*T2^9 - 507*T1^9*T2^9 + 790*T1^10*T2^9 - 
     86*T1^11*T2^9 - 126*T1^12*T2^9 - 47*T1^13*T2^9 + 32*T1^14*T2^9 + 
     16*T1^15*T2^9 - 8*T1^16*T2^9 - 16*T1^2*T2^10 + 124*T1^3*T2^10 - 
     217*T1^4*T2^10 - 211*T1^5*T2^10 + 909*T1^6*T2^10 - 362*T1^7*T2^10 - 
     774*T1^8*T2^10 + 790*T1^9*T2^10 - 102*T1^10*T2^10 - 74*T1^11*T2^10 - 
     19*T1^12*T2^10 - 59*T1^13*T2^10 + 111*T1^14*T2^10 - 52*T1^15*T2^10 + 
     8*T1^16*T2^10 - 15*T1^3*T2^11 - 28*T1^4*T2^11 + 272*T1^5*T2^11 - 
     341*T1^6*T2^11 - 335*T1^7*T2^11 + 617*T1^8*T2^11 - 86*T1^9*T2^11 - 
     74*T1^10*T2^11 - 187*T1^11*T2^11 + 78*T1^12*T2^11 + 212*T1^13*T2^11 - 
     136*T1^14*T2^11 + 4*T1^15*T2^11 + 10*T1^16*T2^11 + 22*T1^4*T2^12 - 
     68*T1^5*T2^12 + 7*T1^6*T2^12 + 172*T1^7*T2^12 - 69*T1^8*T2^12 - 
     126*T1^9*T2^12 - 19*T1^10*T2^12 + 78*T1^11*T2^12 + 99*T1^12*T2^12 - 
     168*T1^13*T2^12 - 9*T1^14*T2^12 + 68*T1^15*T2^12 - 22*T1^16*T2^12 - 
     5*T1^5*T2^13 + 20*T1^6*T2^13 - 36*T1^7*T2^13 + 47*T1^8*T2^13 - 
     47*T1^9*T2^13 - 59*T1^10*T2^13 + 212*T1^11*T2^13 - 168*T1^12*T2^13 - 
     21*T1^13*T2^13 + 104*T1^14*T2^13 - 56*T1^15*T2^13 + 10*T1^16*T2^13 + 
     16*T1^7*T2^14 - 56*T1^8*T2^14 + 32*T1^9*T2^14 + 111*T1^10*T2^14 - 
     136*T1^11*T2^14 - 9*T1^12*T2^14 + 104*T1^13*T2^14 - 32*T1^14*T2^14 - 
     16*T1^15*T2^14 + 8*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 
     16*T1^9*T2^15 - 52*T1^10*T2^15 + 4*T1^11*T2^15 + 68*T1^12*T2^15 - 
     56*T1^13*T2^15 - 16*T1^14*T2^15 + 28*T1^15*T2^15 - 8*T1^16*T2^15 + 
     2*T1^8*T2^16 - 8*T1^9*T2^16 + 8*T1^10*T2^16 + 10*T1^11*T2^16 - 
     22*T1^12*T2^16 + 10*T1^13*T2^16 + 8*T1^14*T2^16 - 8*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 176] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   -((-216 + 866*T1 - 1240*T1^2 + 866*T1^3 - 216*T1^4 + 866*T2 - 2868*T1*T2 + 
      2529*T1^2*T2 + 33*T1^3*T2 - 1588*T1^4*T2 + 610*T1^5*T2 - 1240*T2^2 + 
      2529*T1*T2^2 + 2238*T1^2*T2^2 - 7142*T1^3*T2^2 + 5734*T1^4*T2^2 - 
      415*T1^5*T2^2 - 504*T1^6*T2^2 + 866*T2^3 + 33*T1*T2^3 - 
      7142*T1^2*T2^3 + 8668*T1^3*T2^3 - 1844*T1^4*T2^3 - 4198*T1^5*T2^3 + 
      1633*T1^6*T2^3 + 98*T1^7*T2^3 - 216*T2^4 - 1588*T1*T2^4 + 
      5734*T1^2*T2^4 - 1844*T1^3*T2^4 - 5652*T1^4*T2^4 + 6860*T1^5*T2^4 - 
      986*T1^6*T2^4 - 564*T1^7*T2^4 + 40*T1^8*T2^4 + 610*T1*T2^5 - 
      415*T1^2*T2^5 - 4198*T1^3*T2^5 + 6860*T1^4*T2^5 - 3652*T1^5*T2^5 - 
      1254*T1^6*T2^5 + 1185*T1^7*T2^5 - 158*T1^8*T2^5 - 504*T1^2*T2^6 + 
      1633*T1^3*T2^6 - 986*T1^4*T2^6 - 1254*T1^5*T2^6 + 2510*T1^6*T2^6 - 
      1311*T1^7*T2^6 + 232*T1^8*T2^6 + 98*T1^3*T2^7 - 564*T1^4*T2^7 + 
      1185*T1^5*T2^7 - 1311*T1^6*T2^7 + 716*T1^7*T2^7 - 158*T1^8*T2^7 + 
      40*T1^4*T2^8 - 158*T1^5*T2^8 + 232*T1^6*T2^8 - 158*T1^7*T2^8 + 
      40*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 177] -> 
  {(4 - 11*T + 16*T^2 - 17*T^3 + 16*T^4 - 11*T^5 + 4*T^6)/T^3, 
   -((400 - 1084*T1 + 1556*T1^2 - 1640*T1^3 + 1556*T1^4 - 1084*T1^5 + 
      400*T1^6 - 1084*T2 + 2048*T1*T2 - 1797*T1^2*T2 + 951*T1^3*T2 - 
      501*T1^4*T2 - 609*T1^5*T2 + 1388*T1^6*T2 - 908*T1^7*T2 + 1556*T2^2 - 
      1797*T1*T2^2 + 418*T1^2*T2^2 + 524*T1^3*T2^2 - 258*T1^4*T2^2 + 
      1292*T1^5*T2^2 - 1118*T1^6*T2^2 - 389*T1^7*T2^2 + 1044*T1^8*T2^2 - 
      1640*T2^3 + 951*T1*T2^3 + 524*T1^2*T2^3 - 490*T1^3*T2^3 - 
      454*T1^4*T2^3 - 754*T1^5*T2^3 - 22*T1^6*T2^3 + 1148*T1^7*T2^3 - 
      589*T1^8*T2^3 - 824*T1^9*T2^3 + 1556*T2^4 - 501*T1*T2^4 - 
      258*T1^2*T2^4 - 454*T1^3*T2^4 + 1077*T1^4*T2^4 + 633*T1^5*T2^4 + 
      249*T1^6*T2^4 - 590*T1^7*T2^4 - 240*T1^8*T2^4 + 819*T1^9*T2^4 + 
      532*T1^10*T2^4 - 1084*T2^5 - 609*T1*T2^5 + 1292*T1^2*T2^5 - 
      754*T1^3*T2^5 + 633*T1^4*T2^5 - 1880*T1^5*T2^5 + 100*T1^6*T2^5 + 
      409*T1^7*T2^5 - 126*T1^8*T2^5 + 92*T1^9*T2^5 - 917*T1^10*T2^5 - 
      204*T1^11*T2^5 + 400*T2^6 + 1388*T1*T2^6 - 1118*T1^2*T2^6 - 
      22*T1^3*T2^6 + 249*T1^4*T2^6 + 100*T1^5*T2^6 + 1884*T1^6*T2^6 - 
      1580*T1^7*T2^6 + 797*T1^8*T2^6 - 502*T1^9*T2^6 + 622*T1^10*T2^6 + 
      508*T1^11*T2^6 + 16*T1^12*T2^6 - 908*T1*T2^7 - 389*T1^2*T2^7 + 
      1148*T1^3*T2^7 - 590*T1^4*T2^7 + 409*T1^5*T2^7 - 1580*T1^6*T2^7 + 
      400*T1^7*T2^7 + 185*T1^8*T2^7 + 38*T1^9*T2^7 - 52*T1^10*T2^7 - 
      697*T1^11*T2^7 - 28*T1^12*T2^7 + 1044*T1^2*T2^8 - 589*T1^3*T2^8 - 
      240*T1^4*T2^8 - 126*T1^5*T2^8 + 797*T1^6*T2^8 + 185*T1^7*T2^8 - 
      31*T1^8*T2^8 - 262*T1^9*T2^8 - 222*T1^10*T2^8 + 731*T1^11*T2^8 + 
      20*T1^12*T2^8 - 824*T1^3*T2^9 + 819*T1^4*T2^9 + 92*T1^5*T2^9 - 
      502*T1^6*T2^9 + 38*T1^7*T2^9 - 262*T1^8*T2^9 - 34*T1^9*T2^9 + 
      716*T1^10*T2^9 - 721*T1^11*T2^9 - 8*T1^12*T2^9 + 532*T1^4*T2^10 - 
      917*T1^5*T2^10 + 622*T1^6*T2^10 - 52*T1^7*T2^10 - 222*T1^8*T2^10 + 
      716*T1^9*T2^10 - 914*T1^10*T2^10 + 491*T1^11*T2^10 + 20*T1^12*T2^10 - 
      204*T1^5*T2^11 + 508*T1^6*T2^11 - 697*T1^7*T2^11 + 731*T1^8*T2^11 - 
      721*T1^9*T2^11 + 491*T1^10*T2^11 - 152*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 20*T1^8*T2^12 - 8*T1^9*T2^12 + 
      20*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 178] -> 
  {-((1 - 9*T + 24*T^2 - 33*T^3 + 24*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 72*T1^2 + 99*T1^3 - 72*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      227*T1*T2 + 491*T1^2*T2 - 462*T1^3*T2 + 51*T1^4*T2 + 194*T1^5*T2 - 
      137*T1^6*T2 + 18*T1^7*T2 - 72*T2^2 + 491*T1*T2^2 - 316*T1^2*T2^2 - 
      1253*T1^3*T2^2 + 2984*T1^4*T2^2 - 2405*T1^5*T2^2 + 788*T1^6*T2^2 + 
      59*T1^7*T2^2 - 24*T1^8*T2^2 + 99*T2^3 - 462*T1*T2^3 - 1253*T1^2*T2^3 + 
      5067*T1^3*T2^3 - 6629*T1^4*T2^3 + 2416*T1^5*T2^3 + 1305*T1^6*T2^3 - 
      1469*T1^7*T2^3 + 213*T1^8*T2^3 - 72*T2^4 + 51*T1*T2^4 + 
      2984*T1^2*T2^4 - 6629*T1^3*T2^4 + 4177*T1^4*T2^4 + 4871*T1^5*T2^4 - 
      7871*T1^6*T2^4 + 3865*T1^7*T2^4 - 58*T1^8*T2^4 - 219*T1^9*T2^4 + 
      24*T1^10*T2^4 + 27*T2^5 + 194*T1*T2^5 - 2405*T1^2*T2^5 + 
      2416*T1^3*T2^5 + 4871*T1^4*T2^5 - 13803*T1^5*T2^5 + 10407*T1^6*T2^5 - 
      313*T1^7*T2^5 - 3731*T1^8*T2^5 + 1555*T1^9*T2^5 - 49*T1^10*T2^5 - 
      18*T1^11*T2^5 - 3*T2^6 - 137*T1*T2^6 + 788*T1^2*T2^6 + 1305*T1^3*T2^6 - 
      7871*T1^4*T2^6 + 10407*T1^5*T2^6 - 744*T1^6*T2^6 - 9843*T1^7*T2^6 + 
      8077*T1^8*T2^6 - 1485*T1^9*T2^6 - 832*T1^10*T2^6 + 133*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 59*T1^2*T2^7 - 1469*T1^3*T2^7 + 
      3865*T1^4*T2^7 - 313*T1^5*T2^7 - 9843*T1^6*T2^7 + 14367*T1^7*T2^7 - 
      5497*T1^8*T2^7 - 2282*T1^9*T2^7 + 2491*T1^10*T2^7 - 184*T1^11*T2^7 - 
      27*T1^12*T2^7 - 24*T1^2*T2^8 + 213*T1^3*T2^8 - 58*T1^4*T2^8 - 
      3731*T1^5*T2^8 + 8077*T1^6*T2^8 - 5497*T1^7*T2^8 - 3971*T1^8*T2^8 + 
      6763*T1^9*T2^8 - 3100*T1^10*T2^8 - 57*T1^11*T2^8 + 72*T1^12*T2^8 - 
      219*T1^4*T2^9 + 1555*T1^5*T2^9 - 1485*T1^6*T2^9 - 2282*T1^7*T2^9 + 
      6763*T1^8*T2^9 - 5247*T1^9*T2^9 + 1339*T1^10*T2^9 + 456*T1^11*T2^9 - 
      99*T1^12*T2^9 + 24*T1^4*T2^10 - 49*T1^5*T2^10 - 832*T1^6*T2^10 + 
      2491*T1^7*T2^10 - 3100*T1^8*T2^10 + 1339*T1^9*T2^10 + 272*T1^10*T2^10 - 
      481*T1^11*T2^10 + 72*T1^12*T2^10 - 18*T1^5*T2^11 + 133*T1^6*T2^11 - 
      184*T1^7*T2^11 - 57*T1^8*T2^11 + 456*T1^9*T2^11 - 481*T1^10*T2^11 + 
      223*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      72*T1^8*T2^12 - 99*T1^9*T2^12 + 72*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 179] -> 
  {-((1 - 3*T + 2*T^2 - T^3 + 2*T^4 - 3*T^5 + T^6)/T^3), 
   -((-5 + 15*T1 - 10*T1^2 + 5*T1^3 - 10*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 - 7*T1^2*T2 + 10*T1^3*T2 + 19*T1^4*T2 - 22*T1^5*T2 - 
      21*T1^6*T2 + 12*T1^7*T2 - 10*T2^2 - 7*T1*T2^2 + 85*T1^2*T2^2 - 
      43*T1^3*T2^2 - 7*T1^4*T2^2 - 35*T1^5*T2^2 + 89*T1^6*T2^2 - 
      19*T1^7*T2^2 - 6*T1^8*T2^2 + 5*T2^3 + 10*T1*T2^3 - 43*T1^2*T2^3 - 
      17*T1^3*T2^3 + 32*T1^4*T2^3 + 35*T1^5*T2^3 - 41*T1^6*T2^3 - 
      25*T1^7*T2^3 + 13*T1^8*T2^3 + 2*T1^9*T2^3 - 10*T2^4 + 19*T1*T2^4 - 
      7*T1^2*T2^4 + 32*T1^3*T2^4 - 44*T1^4*T2^4 + 14*T1^5*T2^4 - 
      24*T1^6*T2^4 + 30*T1^7*T2^4 - 9*T1^8*T2^4 + T1^9*T2^4 - 2*T1^10*T2^4 + 
      15*T2^5 - 22*T1*T2^5 - 35*T1^2*T2^5 + 35*T1^3*T2^5 + 14*T1^4*T2^5 + 
      T1^5*T2^5 - 23*T1^6*T2^5 + 10*T1^7*T2^5 + 22*T1^8*T2^5 - 13*T1^9*T2^5 + 
      5*T1^10*T2^5 - 5*T2^6 - 21*T1*T2^6 + 89*T1^2*T2^6 - 41*T1^3*T2^6 - 
      24*T1^4*T2^6 - 23*T1^5*T2^6 + 36*T1^6*T2^6 + 11*T1^7*T2^6 - 
      40*T1^8*T2^6 + T1^9*T2^6 + T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 
      12*T1*T2^7 - 19*T1^2*T2^7 - 25*T1^3*T2^7 + 30*T1^4*T2^7 + 
      10*T1^5*T2^7 + 11*T1^6*T2^7 - 13*T1^7*T2^7 + 6*T1^8*T2^7 + 
      17*T1^9*T2^7 - 3*T1^10*T2^7 + 8*T1^11*T2^7 - 3*T1^12*T2^7 - 
      6*T1^2*T2^8 + 13*T1^3*T2^8 - 9*T1^4*T2^8 + 22*T1^5*T2^8 - 
      40*T1^6*T2^8 + 6*T1^7*T2^8 - 20*T1^8*T2^8 + 20*T1^9*T2^8 - 
      11*T1^10*T2^8 - 5*T1^11*T2^8 + 2*T1^12*T2^8 + 2*T1^3*T2^9 + T1^4*T2^9 - 
      13*T1^5*T2^9 + T1^6*T2^9 + 17*T1^7*T2^9 + 20*T1^8*T2^9 - 23*T1^9*T2^9 + 
      5*T1^10*T2^9 + 4*T1^11*T2^9 - T1^12*T2^9 - 2*T1^4*T2^10 + 
      5*T1^5*T2^10 + T1^6*T2^10 - 3*T1^7*T2^10 - 11*T1^8*T2^10 + 
      5*T1^9*T2^10 + 5*T1^10*T2^10 - 7*T1^11*T2^10 + 2*T1^12*T2^10 - 
      3*T1^6*T2^11 + 8*T1^7*T2^11 - 5*T1^8*T2^11 + 4*T1^9*T2^11 - 
      7*T1^10*T2^11 + 9*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
      3*T1^7*T2^12 + 2*T1^8*T2^12 - T1^9*T2^12 + 2*T1^10*T2^12 - 
      3*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 180] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 252*T1^2 + 331*T1^3 - 252*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 886*T1^2*T2 - 836*T1^3*T2 + 184*T1^4*T2 + 
      246*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 252*T2^2 + 886*T1*T2^2 - 
      963*T1^2*T2^2 - 114*T1^3*T2^2 + 1829*T1^4*T2^2 - 1786*T1^5*T2^2 + 
      797*T1^6*T2^2 + 6*T1^7*T2^2 - 76*T1^8*T2^2 + 331*T2^3 - 836*T1*T2^3 - 
      114*T1^2*T2^3 + 2380*T1^3*T2^3 - 3983*T1^4*T2^3 + 1669*T1^5*T2^3 + 
      734*T1^6*T2^3 - 1302*T1^7*T2^3 + 464*T1^8*T2^3 - 17*T1^9*T2^3 - 
      252*T2^4 + 184*T1*T2^4 + 1829*T1^2*T2^4 - 3983*T1^3*T2^4 + 
      3157*T1^4*T2^4 + 2093*T1^5*T2^4 - 4343*T1^6*T2^4 + 2513*T1^7*T2^4 - 
      99*T1^8*T2^4 - 416*T1^9*T2^4 + 100*T1^10*T2^4 + 115*T2^5 + 
      246*T1*T2^5 - 1786*T1^2*T2^5 + 1669*T1^3*T2^5 + 2093*T1^4*T2^5 - 
      7024*T1^5*T2^5 + 5594*T1^6*T2^5 - 63*T1^7*T2^5 - 2295*T1^8*T2^5 + 
      1338*T1^9*T2^5 - 74*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 
      260*T1*T2^6 + 797*T1^2*T2^6 + 734*T1^3*T2^6 - 4343*T1^4*T2^6 + 
      5594*T1^5*T2^6 - 864*T1^6*T2^6 - 5038*T1^7*T2^6 + 3945*T1^8*T2^6 - 
      842*T1^9*T2^6 - 739*T1^10*T2^6 + 300*T1^11*T2^6 + 25*T1^12*T2^6 + 
      75*T1*T2^7 + 6*T1^2*T2^7 - 1302*T1^3*T2^7 + 2513*T1^4*T2^7 - 
      63*T1^5*T2^7 - 5038*T1^6*T2^7 + 7580*T1^7*T2^7 - 2219*T1^8*T2^7 - 
      1451*T1^9*T2^7 + 1822*T1^10*T2^7 - 314*T1^11*T2^7 - 125*T1^12*T2^7 - 
      76*T1^2*T2^8 + 464*T1^3*T2^8 - 99*T1^4*T2^8 - 2295*T1^5*T2^8 + 
      3945*T1^6*T2^8 - 2219*T1^7*T2^8 - 3555*T1^8*T2^8 + 4201*T1^9*T2^8 - 
      2027*T1^10*T2^8 - 136*T1^11*T2^8 + 276*T1^12*T2^8 - 17*T1^3*T2^9 - 
      416*T1^4*T2^9 + 1338*T1^5*T2^9 - 842*T1^6*T2^9 - 1451*T1^7*T2^9 + 
      4201*T1^8*T2^9 - 2488*T1^9*T2^9 + 150*T1^10*T2^9 + 884*T1^11*T2^9 - 
      365*T1^12*T2^9 + 100*T1^4*T2^10 - 74*T1^5*T2^10 - 739*T1^6*T2^10 + 
      1822*T1^7*T2^10 - 2027*T1^8*T2^10 + 150*T1^9*T2^10 + 1021*T1^10*T2^10 - 
      954*T1^11*T2^10 + 276*T1^12*T2^10 - 85*T1^5*T2^11 + 300*T1^6*T2^11 - 
      314*T1^7*T2^11 - 136*T1^8*T2^11 + 884*T1^9*T2^11 - 954*T1^10*T2^11 + 
      540*T1^11*T2^11 - 125*T1^12*T2^11 + 25*T1^6*T2^12 - 125*T1^7*T2^12 + 
      276*T1^8*T2^12 - 365*T1^9*T2^12 + 276*T1^10*T2^12 - 125*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 181] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 292*T1^2 + 353*T1^3 - 292*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 848*T1^2*T2 - 616*T1^3*T2 + 140*T1^4*T2 + 
     344*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 292*T2^2 + 848*T1*T2^2 - 
     817*T1^2*T2^2 - 412*T1^3*T2^2 + 1237*T1^4*T2^2 - 1476*T1^5*T2^2 + 
     475*T1^6*T2^2 + 164*T1^7*T2^2 - 140*T1^8*T2^2 + 353*T2^3 - 616*T1*T2^3 - 
     412*T1^2*T2^3 + 2427*T1^3*T2^3 - 2246*T1^4*T2^3 + 1072*T1^5*T2^3 + 
     1089*T1^6*T2^3 - 1153*T1^7*T2^3 + 284*T1^8*T2^3 + 77*T1^9*T2^3 - 
     292*T2^4 + 140*T1*T2^4 + 1237*T1^2*T2^4 - 2246*T1^3*T2^4 - 
     150*T1^4*T2^4 + 2168*T1^5*T2^4 - 3362*T1^6*T2^4 + 1296*T1^7*T2^4 + 
     399*T1^8*T2^4 - 400*T1^9*T2^4 + 12*T1^10*T2^4 + 139*T2^5 + 344*T1*T2^5 - 
     1476*T1^2*T2^5 + 1072*T1^3*T2^5 + 2168*T1^4*T2^5 - 3040*T1^5*T2^5 + 
     1940*T1^6*T2^5 + 1047*T1^7*T2^5 - 1798*T1^8*T2^5 + 557*T1^9*T2^5 + 
     128*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 475*T1^2*T2^6 + 
     1089*T1^3*T2^6 - 3362*T1^4*T2^6 + 1940*T1^5*T2^6 + 960*T1^6*T2^6 - 
     2876*T1^7*T2^6 + 1916*T1^8*T2^6 + 195*T1^9*T2^6 - 541*T1^10*T2^6 + 
     110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 164*T1^2*T2^7 - 
     1153*T1^3*T2^7 + 1296*T1^4*T2^7 + 1047*T1^5*T2^7 - 2876*T1^6*T2^7 + 
     2104*T1^7*T2^7 - 74*T1^8*T2^7 - 1574*T1^9*T2^7 + 880*T1^10*T2^7 - 
     52*T1^11*T2^7 - 77*T1^12*T2^7 - 140*T1^2*T2^8 + 284*T1^3*T2^8 + 
     399*T1^4*T2^8 - 1798*T1^5*T2^8 + 1916*T1^6*T2^8 - 74*T1^7*T2^8 - 
     1296*T1^8*T2^8 + 1744*T1^9*T2^8 - 439*T1^10*T2^8 - 256*T1^11*T2^8 + 
     164*T1^12*T2^8 + 77*T1^3*T2^9 - 400*T1^4*T2^9 + 557*T1^5*T2^9 + 
     195*T1^6*T2^9 - 1574*T1^7*T2^9 + 1744*T1^8*T2^9 - 1143*T1^9*T2^9 - 
     184*T1^10*T2^9 + 500*T1^11*T2^9 - 199*T1^12*T2^9 + 12*T1^4*T2^10 + 
     128*T1^5*T2^10 - 541*T1^6*T2^10 + 880*T1^7*T2^10 - 439*T1^8*T2^10 - 
     184*T1^9*T2^10 + 751*T1^10*T2^10 - 556*T1^11*T2^10 + 164*T1^12*T2^10 - 
     41*T1^5*T2^11 + 110*T1^6*T2^11 - 52*T1^7*T2^11 - 256*T1^8*T2^11 + 
     500*T1^9*T2^11 - 556*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 
     17*T1^6*T2^12 - 77*T1^7*T2^12 + 164*T1^8*T2^12 - 199*T1^9*T2^12 + 
     164*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 182] -> 
  {-((1 - 5*T + 10*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 50*T1^2 + 65*T1^3 - 65*T1^4 + 65*T1^5 - 50*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 150*T1^2*T2 - 125*T1^3*T2 + 
      65*T1^4*T2 - 65*T1^5*T2 - 10*T1^6*T2 + 75*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 50*T2^2 + 150*T1*T2^2 - 32*T1^2*T2^2 - 194*T1^3*T2^2 + 
      342*T1^4*T2^2 - 252*T1^5*T2^2 + 402*T1^6*T2^2 - 354*T1^7*T2^2 + 
      148*T1^8*T2^2 + 50*T1^9*T2^2 - 30*T1^10*T2^2 + 65*T2^3 - 125*T1*T2^3 - 
      194*T1^2*T2^3 + 423*T1^3*T2^3 - 386*T1^4*T2^3 + 71*T1^5*T2^3 - 
      332*T1^6*T2^3 + 62*T1^7*T2^3 + 219*T1^8*T2^3 - 284*T1^9*T2^3 + 
      20*T1^10*T2^3 + 26*T1^11*T2^3 - 65*T2^4 + 65*T1*T2^4 + 342*T1^2*T2^4 - 
      386*T1^3*T2^4 + 163*T1^4*T2^4 + 177*T1^5*T2^4 + 281*T1^6*T2^4 + 
      151*T1^7*T2^4 - 253*T1^8*T2^4 + 108*T1^9*T2^4 + 212*T1^10*T2^4 - 
      65*T1^11*T2^4 - 13*T1^12*T2^4 + 65*T2^5 - 65*T1*T2^5 - 252*T1^2*T2^5 + 
      71*T1^3*T2^5 + 177*T1^4*T2^5 - 328*T1^5*T2^5 - 289*T1^6*T2^5 - 
      159*T1^7*T2^5 + 62*T1^8*T2^5 + 112*T1^9*T2^5 - 254*T1^10*T2^5 - 
      57*T1^11*T2^5 + 65*T1^12*T2^5 - 50*T2^6 - 10*T1*T2^6 + 402*T1^2*T2^6 - 
      332*T1^3*T2^6 + 281*T1^4*T2^6 - 289*T1^5*T2^6 + 759*T1^6*T2^6 - 
      121*T1^7*T2^6 - T1^8*T2^6 - 29*T1^9*T2^6 + 21*T1^10*T2^6 + 
      188*T1^11*T2^6 - 38*T1^12*T2^6 - 50*T1^13*T2^6 + 10*T1^14*T2^6 + 
      25*T2^7 + 75*T1*T2^7 - 354*T1^2*T2^7 + 62*T1^3*T2^7 + 151*T1^4*T2^7 - 
      159*T1^5*T2^7 - 121*T1^6*T2^7 - 504*T1^7*T2^7 + 532*T1^8*T2^7 - 
      104*T1^9*T2^7 - 29*T1^10*T2^7 + 60*T1^11*T2^7 - 202*T1^12*T2^7 + 
      156*T1^13*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 148*T1^2*T2^8 + 
      219*T1^3*T2^8 - 253*T1^4*T2^8 + 62*T1^5*T2^8 - T1^6*T2^8 + 
      532*T1^7*T2^8 - 312*T1^8*T2^8 - 344*T1^9*T2^8 + 225*T1^10*T2^8 - 
      250*T1^11*T2^8 + 211*T1^12*T2^8 - 47*T1^13*T2^8 - 122*T1^14*T2^8 + 
      35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 50*T1^2*T2^9 - 
      284*T1^3*T2^9 + 108*T1^4*T2^9 + 112*T1^5*T2^9 - 29*T1^6*T2^9 - 
      104*T1^7*T2^9 - 344*T1^8*T2^9 + 692*T1^9*T2^9 - 87*T1^10*T2^9 + 
      101*T1^11*T2^9 + 21*T1^12*T2^9 - 156*T1^13*T2^9 + 226*T1^14*T2^9 - 
      25*T1^15*T2^9 - 15*T1^16*T2^9 - 30*T1^2*T2^10 + 20*T1^3*T2^10 + 
      212*T1^4*T2^10 - 254*T1^5*T2^10 + 21*T1^6*T2^10 - 29*T1^7*T2^10 + 
      225*T1^8*T2^10 - 87*T1^9*T2^10 - 535*T1^10*T2^10 + 231*T1^11*T2^10 - 
      239*T1^12*T2^10 + 266*T1^13*T2^10 - 228*T1^14*T2^10 - 20*T1^15*T2^10 + 
      30*T1^16*T2^10 + 26*T1^3*T2^11 - 65*T1^4*T2^11 - 57*T1^5*T2^11 + 
      188*T1^6*T2^11 + 60*T1^7*T2^11 - 250*T1^8*T2^11 + 101*T1^9*T2^11 + 
      231*T1^10*T2^11 + 140*T1^11*T2^11 - 5*T1^12*T2^11 - 137*T1^13*T2^11 + 
      138*T1^14*T2^11 + 65*T1^15*T2^11 - 39*T1^16*T2^11 - 13*T1^4*T2^12 + 
      65*T1^5*T2^12 - 38*T1^6*T2^12 - 202*T1^7*T2^12 + 211*T1^8*T2^12 + 
      21*T1^9*T2^12 - 239*T1^10*T2^12 - 5*T1^11*T2^12 - 205*T1^12*T2^12 + 
      292*T1^13*T2^12 - 168*T1^14*T2^12 - 65*T1^15*T2^12 + 39*T1^16*T2^12 - 
      50*T1^6*T2^13 + 156*T1^7*T2^13 - 47*T1^8*T2^13 - 156*T1^9*T2^13 + 
      266*T1^10*T2^13 - 137*T1^11*T2^13 + 292*T1^12*T2^13 - 251*T1^13*T2^13 + 
      66*T1^14*T2^13 + 95*T1^15*T2^13 - 39*T1^16*T2^13 + 10*T1^6*T2^14 - 
      122*T1^8*T2^14 + 226*T1^9*T2^14 - 228*T1^10*T2^14 + 138*T1^11*T2^14 - 
      168*T1^12*T2^14 + 66*T1^13*T2^14 + 58*T1^14*T2^14 - 100*T1^15*T2^14 + 
      30*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 25*T1^9*T2^15 - 
      20*T1^10*T2^15 + 65*T1^11*T2^15 - 65*T1^12*T2^15 + 95*T1^13*T2^15 - 
      100*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 39*T1^11*T2^16 + 39*T1^12*T2^16 - 
      39*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 183] -> 
  {-((1 - 10*T + 26*T^2 - 35*T^3 + 26*T^4 - 10*T^5 + T^6)/T^3), 
   -((-5 + 50*T1 - 130*T1^2 + 175*T1^3 - 130*T1^4 + 50*T1^5 - 5*T1^6 + 
      50*T2 - 470*T1*T2 + 915*T1^2*T2 - 719*T1^3*T2 - 109*T1^4*T2 + 
      555*T1^5*T2 - 360*T1^6*T2 + 40*T1^7*T2 - 130*T2^2 + 915*T1*T2^2 + 
      637*T1^2*T2^2 - 5331*T1^3*T2^2 + 8961*T1^4*T2^2 - 6631*T1^5*T2^2 + 
      1937*T1^6*T2^2 + 395*T1^7*T2^2 - 78*T1^8*T2^2 + 175*T2^3 - 
      719*T1*T2^3 - 5331*T1^2*T2^3 + 13599*T1^3*T2^3 - 12526*T1^4*T2^3 - 
      446*T1^5*T2^3 + 8019*T1^6*T2^3 - 5201*T1^7*T2^3 + 71*T1^8*T2^3 + 
      70*T1^9*T2^3 - 130*T2^4 - 109*T1*T2^4 + 8961*T1^2*T2^4 - 
      12526*T1^3*T2^4 - 467*T1^4*T2^4 + 18831*T1^5*T2^4 - 15367*T1^6*T2^4 + 
      1334*T1^7*T2^4 + 4665*T1^8*T2^4 - 449*T1^9*T2^4 - 26*T1^10*T2^4 + 
      50*T2^5 + 555*T1*T2^5 - 6631*T1^2*T2^5 - 446*T1^3*T2^5 + 
      18831*T1^4*T2^5 - 24972*T1^5*T2^5 + 3008*T1^6*T2^5 + 12851*T1^7*T2^5 - 
      8966*T1^8*T2^5 - 1041*T1^9*T2^5 + 275*T1^10*T2^5 - 5*T2^6 - 
      360*T1*T2^6 + 1937*T1^2*T2^6 + 8019*T1^3*T2^6 - 15367*T1^4*T2^6 + 
      3008*T1^5*T2^6 + 21108*T1^6*T2^6 - 20852*T1^7*T2^6 + 4589*T1^8*T2^6 + 
      4689*T1^9*T2^6 - 555*T1^10*T2^6 - 20*T1^11*T2^6 + T1^12*T2^6 + 
      40*T1*T2^7 + 395*T1^2*T2^7 - 5201*T1^3*T2^7 + 1334*T1^4*T2^7 + 
      12851*T1^5*T2^7 - 20852*T1^6*T2^7 + 7128*T1^7*T2^7 + 6871*T1^8*T2^7 - 
      7186*T1^9*T2^7 + 389*T1^10*T2^7 + 115*T1^11*T2^7 - 10*T1^12*T2^7 - 
      78*T1^2*T2^8 + 71*T1^3*T2^8 + 4665*T1^4*T2^8 - 8966*T1^5*T2^8 + 
      4589*T1^6*T2^8 + 6871*T1^7*T2^8 - 10311*T1^8*T2^8 + 4894*T1^9*T2^8 + 
      369*T1^10*T2^8 - 269*T1^11*T2^8 + 26*T1^12*T2^8 + 70*T1^3*T2^9 - 
      449*T1^4*T2^9 - 1041*T1^5*T2^9 + 4689*T1^6*T2^9 - 7186*T1^7*T2^9 + 
      4894*T1^8*T2^9 - 891*T1^9*T2^9 - 911*T1^10*T2^9 + 341*T1^11*T2^9 - 
      35*T1^12*T2^9 - 26*T1^4*T2^10 + 275*T1^5*T2^10 - 555*T1^6*T2^10 + 
      389*T1^7*T2^10 + 369*T1^8*T2^10 - 911*T1^9*T2^10 + 745*T1^10*T2^10 - 
      245*T1^11*T2^10 + 26*T1^12*T2^10 - 20*T1^6*T2^11 + 115*T1^7*T2^11 - 
      269*T1^8*T2^11 + 341*T1^9*T2^11 - 245*T1^10*T2^11 + 90*T1^11*T2^11 - 
      10*T1^12*T2^11 + T1^6*T2^12 - 10*T1^7*T2^12 + 26*T1^8*T2^12 - 
      35*T1^9*T2^12 + 26*T1^10*T2^12 - 10*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 184] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 20*T1^2 + 26*T1^3 - 20*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 66*T1^2*T2 - 65*T1^3*T2 + 27*T1^4*T2 + 10*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 20*T2^2 + 66*T1*T2^2 - 166*T1^2*T2^2 + 
     152*T1^3*T2^2 - 60*T1^4*T2^2 - 28*T1^5*T2^2 + 14*T1^6*T2^2 - 
     14*T1^7*T2^2 + 26*T2^3 - 65*T1*T2^3 + 152*T1^2*T2^3 + 13*T1^3*T2^3 - 
     180*T1^4*T2^3 + 194*T1^5*T2^3 - T1^6*T2^3 - 38*T1^7*T2^3 + 
     51*T1^8*T2^3 - 13*T1^9*T2^3 - 20*T2^4 + 27*T1*T2^4 - 60*T1^2*T2^4 - 
     180*T1^3*T2^4 + 147*T1^4*T2^4 + 145*T1^5*T2^4 - 429*T1^6*T2^4 + 
     236*T1^7*T2^4 - 76*T1^8*T2^4 - 29*T1^9*T2^4 + 20*T1^10*T2^4 + 8*T2^5 + 
     10*T1*T2^5 - 28*T1^2*T2^5 + 194*T1^3*T2^5 + 145*T1^4*T2^5 - 
     664*T1^5*T2^5 + 746*T1^6*T2^5 - 195*T1^7*T2^5 - 96*T1^8*T2^5 + 
     122*T1^9*T2^5 - 30*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     14*T1^2*T2^6 - T1^3*T2^6 - 429*T1^4*T2^6 + 746*T1^5*T2^6 - 
     276*T1^6*T2^6 - 502*T1^7*T2^6 + 599*T1^8*T2^6 - 239*T1^9*T2^6 + 
     18*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 
     14*T1^2*T2^7 - 38*T1^3*T2^7 + 236*T1^4*T2^7 - 195*T1^5*T2^7 - 
     502*T1^6*T2^7 + 908*T1^7*T2^7 - 535*T1^8*T2^7 - 54*T1^9*T2^7 + 
     112*T1^10*T2^7 - 54*T1^11*T2^7 - 16*T1^12*T2^7 + 51*T1^3*T2^8 - 
     76*T1^4*T2^8 - 96*T1^5*T2^8 + 599*T1^6*T2^8 - 535*T1^7*T2^8 + 
     23*T1^8*T2^8 + 320*T1^9*T2^8 - 92*T1^10*T2^8 - 5*T1^11*T2^8 + 
     40*T1^12*T2^8 - 13*T1^3*T2^9 - 29*T1^4*T2^9 + 122*T1^5*T2^9 - 
     239*T1^6*T2^9 - 54*T1^7*T2^9 + 320*T1^8*T2^9 - 253*T1^9*T2^9 - 
     68*T1^10*T2^9 + 87*T1^11*T2^9 - 52*T1^12*T2^9 + 20*T1^4*T2^10 - 
     30*T1^5*T2^10 + 18*T1^6*T2^10 + 112*T1^7*T2^10 - 92*T1^8*T2^10 - 
     68*T1^9*T2^10 + 198*T1^10*T2^10 - 110*T1^11*T2^10 + 40*T1^12*T2^10 - 
     12*T1^5*T2^11 + 32*T1^6*T2^11 - 54*T1^7*T2^11 - 5*T1^8*T2^11 + 
     87*T1^9*T2^11 - 110*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 
     4*T1^6*T2^12 - 16*T1^7*T2^12 + 40*T1^8*T2^12 - 52*T1^9*T2^12 + 
     40*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 185] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 28*T1 - 49*T1^2 + 70*T1^3 - 77*T1^4 + 70*T1^5 - 49*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 100*T1^2*T2 - 112*T1^3*T2 + 
      68*T1^4*T2 - 16*T1^5*T2 - 44*T1^6*T2 + 56*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 49*T2^2 + 100*T1*T2^2 + 5*T1^2*T2^2 - 43*T1^3*T2^2 + 
      176*T1^4*T2^2 - 217*T1^5*T2^2 + 232*T1^6*T2^2 - 127*T1^7*T2^2 + 
      89*T1^8*T2^2 + 44*T1^9*T2^2 - 35*T1^10*T2^2 + 70*T2^3 - 112*T1*T2^3 - 
      43*T1^2*T2^3 - 28*T1^3*T2^3 - 97*T1^4*T2^3 + 35*T1^5*T2^3 - 
      43*T1^6*T2^3 - 71*T1^7*T2^3 - 6*T1^8*T2^3 - 113*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 77*T2^4 + 68*T1*T2^4 + 176*T1^2*T2^4 - 
      97*T1^3*T2^4 + 377*T1^4*T2^4 - 318*T1^5*T2^4 + 409*T1^6*T2^4 - 
      262*T1^7*T2^4 + 337*T1^8*T2^4 - 57*T1^9*T2^4 + 164*T1^10*T2^4 - 
      28*T1^11*T2^4 - 33*T1^12*T2^4 + 70*T2^5 - 16*T1*T2^5 - 217*T1^2*T2^5 + 
      35*T1^3*T2^5 - 318*T1^4*T2^5 + 124*T1^5*T2^5 - 214*T1^6*T2^5 + 
      10*T1^7*T2^5 - 116*T1^8*T2^5 - 186*T1^9*T2^5 - 39*T1^10*T2^5 - 
      109*T1^11*T2^5 + 52*T1^12*T2^5 + 20*T1^13*T2^5 - 49*T2^6 - 44*T1*T2^6 + 
      232*T1^2*T2^6 - 43*T1^3*T2^6 + 409*T1^4*T2^6 - 214*T1^5*T2^6 + 
      373*T1^6*T2^6 - 171*T1^7*T2^6 + 281*T1^8*T2^6 + 42*T1^9*T2^6 + 
      195*T1^10*T2^6 + 41*T1^11*T2^6 + 40*T1^12*T2^6 - 52*T1^13*T2^6 - 
      7*T1^14*T2^6 + 28*T2^7 + 56*T1*T2^7 - 127*T1^2*T2^7 - 71*T1^3*T2^7 - 
      262*T1^4*T2^7 + 10*T1^5*T2^7 - 171*T1^6*T2^7 + 6*T1^7*T2^7 - 
      134*T1^8*T2^7 - 107*T1^9*T2^7 - 150*T1^10*T2^7 - 90*T1^11*T2^7 - 
      41*T1^12*T2^7 + 27*T1^13*T2^7 + 28*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 
      89*T1^2*T2^8 - 6*T1^3*T2^8 + 337*T1^4*T2^8 - 116*T1^5*T2^8 + 
      281*T1^6*T2^8 - 134*T1^7*T2^8 + 180*T1^8*T2^8 + 34*T1^9*T2^8 + 
      137*T1^10*T2^8 + 100*T1^11*T2^8 + 37*T1^12*T2^8 + 2*T1^13*T2^8 - 
      43*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 44*T1^2*T2^9 - 
      113*T1^3*T2^9 - 57*T1^4*T2^9 - 186*T1^5*T2^9 + 42*T1^6*T2^9 - 
      107*T1^7*T2^9 + 34*T1^8*T2^9 - 106*T1^9*T2^9 - 43*T1^10*T2^9 - 
      118*T1^11*T2^9 - 14*T1^12*T2^9 - 27*T1^13*T2^9 + 41*T1^14*T2^9 + 
      16*T1^15*T2^9 - 4*T1^16*T2^9 - 35*T1^2*T2^10 - 20*T1^3*T2^10 + 
      164*T1^4*T2^10 - 39*T1^5*T2^10 + 195*T1^6*T2^10 - 150*T1^7*T2^10 + 
      137*T1^8*T2^10 - 43*T1^9*T2^10 + 45*T1^10*T2^10 + 106*T1^11*T2^10 - 
      19*T1^12*T2^10 + 45*T1^13*T2^10 - 28*T1^14*T2^10 - 28*T1^15*T2^10 + 
      7*T1^16*T2^10 + 40*T1^3*T2^11 - 28*T1^4*T2^11 - 109*T1^5*T2^11 + 
      41*T1^6*T2^11 - 90*T1^7*T2^11 + 100*T1^8*T2^11 - 118*T1^9*T2^11 + 
      106*T1^10*T2^11 - 140*T1^11*T2^11 + 42*T1^12*T2^11 - 33*T1^13*T2^11 - 
      T1^14*T2^11 + 40*T1^15*T2^11 - 10*T1^16*T2^11 - 33*T1^4*T2^12 + 
      52*T1^5*T2^12 + 40*T1^6*T2^12 - 41*T1^7*T2^12 + 37*T1^8*T2^12 - 
      14*T1^9*T2^12 - 19*T1^10*T2^12 + 42*T1^11*T2^12 - 3*T1^12*T2^12 - 
      T1^13*T2^12 + 28*T1^14*T2^12 - 44*T1^15*T2^12 + 11*T1^16*T2^12 + 
      20*T1^5*T2^13 - 52*T1^6*T2^13 + 27*T1^7*T2^13 + 2*T1^8*T2^13 - 
      27*T1^9*T2^13 + 45*T1^10*T2^13 - 33*T1^11*T2^13 - T1^12*T2^13 + 
      24*T1^13*T2^13 - 43*T1^14*T2^13 + 40*T1^15*T2^13 - 10*T1^16*T2^13 - 
      7*T1^6*T2^14 + 28*T1^7*T2^14 - 43*T1^8*T2^14 + 41*T1^9*T2^14 - 
      28*T1^10*T2^14 - T1^11*T2^14 + 28*T1^12*T2^14 - 43*T1^13*T2^14 + 
      41*T1^14*T2^14 - 28*T1^15*T2^14 + 7*T1^16*T2^14 - 4*T1^8*T2^15 + 
      16*T1^9*T2^15 - 28*T1^10*T2^15 + 40*T1^11*T2^15 - 44*T1^12*T2^15 + 
      40*T1^13*T2^15 - 28*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 7*T1^10*T2^16 - 10*T1^11*T2^16 + 
      11*T1^12*T2^16 - 10*T1^13*T2^16 + 7*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 186] -> 
  {(1 - 4*T + 11*T^2 - 18*T^3 + 21*T^4 - 18*T^5 + 11*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 22*T1^2 + 36*T1^3 - 42*T1^4 + 36*T1^5 - 22*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 72*T1^2*T2 - 100*T1^3*T2 + 96*T1^4*T2 - 
     60*T1^5*T2 + 16*T1^6*T2 + 12*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 22*T2^2 + 
     72*T1*T2^2 - 183*T1^2*T2^2 + 239*T1^3*T2^2 - 214*T1^4*T2^2 + 
     109*T1^5*T2^2 + 6*T1^6*T2^2 - 69*T1^7*T2^2 + 37*T1^8*T2^2 - 
     16*T1^9*T2^2 + 36*T2^3 - 100*T1*T2^3 + 239*T1^2*T2^3 - 226*T1^3*T2^3 + 
     103*T1^4*T2^3 + 49*T1^5*T2^3 - 101*T1^6*T2^3 + 29*T1^7*T2^3 + 
     140*T1^8*T2^3 - 135*T1^9*T2^3 + 72*T1^10*T2^3 - 18*T1^11*T2^3 - 
     42*T2^4 + 96*T1*T2^4 - 214*T1^2*T2^4 + 103*T1^3*T2^4 + 40*T1^4*T2^4 - 
     43*T1^5*T2^4 - 82*T1^6*T2^4 + 221*T1^7*T2^4 - 296*T1^8*T2^4 + 
     31*T1^9*T2^4 + 134*T1^10*T2^4 - 96*T1^11*T2^4 + 42*T1^12*T2^4 + 
     36*T2^5 - 60*T1*T2^5 + 109*T1^2*T2^5 + 49*T1^3*T2^5 - 43*T1^4*T2^5 - 
     400*T1^5*T2^5 + 804*T1^6*T2^5 - 960*T1^7*T2^5 + 752*T1^8*T2^5 - 
     115*T1^9*T2^5 - 113*T1^10*T2^5 - 71*T1^11*T2^5 + 48*T1^12*T2^5 - 
     54*T1^13*T2^5 - 22*T2^6 + 16*T1*T2^6 + 6*T1^2*T2^6 - 101*T1^3*T2^6 - 
     82*T1^4*T2^6 + 804*T1^5*T2^6 - 825*T1^6*T2^6 + 381*T1^7*T2^6 + 
     423*T1^8*T2^6 - 1092*T1^9*T2^6 + 740*T1^10*T2^6 + 31*T1^11*T2^6 + 
     42*T1^12*T2^6 + 40*T1^13*T2^6 + 44*T1^14*T2^6 + 8*T2^7 + 12*T1*T2^7 - 
     69*T1^2*T2^7 + 29*T1^3*T2^7 + 221*T1^4*T2^7 - 960*T1^5*T2^7 + 
     381*T1^6*T2^7 + 114*T1^7*T2^7 - 562*T1^8*T2^7 + 365*T1^9*T2^7 + 
     540*T1^10*T2^7 - 1051*T1^11*T2^7 + 111*T1^12*T2^7 - 91*T1^13*T2^7 - 
     96*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 37*T1^2*T2^8 + 
     140*T1^3*T2^8 - 296*T1^4*T2^8 + 752*T1^5*T2^8 + 423*T1^6*T2^8 - 
     562*T1^7*T2^8 + 552*T1^8*T2^8 + 70*T1^9*T2^8 - 609*T1^10*T2^8 + 
     392*T1^11*T2^8 + 876*T1^12*T2^8 - 236*T1^13*T2^8 + 225*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 
     135*T1^3*T2^9 + 31*T1^4*T2^9 - 115*T1^5*T2^9 - 1092*T1^6*T2^9 + 
     365*T1^7*T2^9 + 70*T1^8*T2^9 - 606*T1^9*T2^9 + 349*T1^10*T2^9 + 
     408*T1^11*T2^9 - 1387*T1^12*T2^9 + 113*T1^13*T2^9 - 157*T1^14*T2^9 - 
     124*T1^15*T2^9 - 24*T1^16*T2^9 + 72*T1^3*T2^10 + 134*T1^4*T2^10 - 
     113*T1^5*T2^10 + 740*T1^6*T2^10 + 540*T1^7*T2^10 - 609*T1^8*T2^10 + 
     349*T1^9*T2^10 + 639*T1^10*T2^10 - 1356*T1^11*T2^10 + 1562*T1^12*T2^10 + 
     19*T1^13*T2^10 + 170*T1^14*T2^10 + 96*T1^15*T2^10 + 66*T1^16*T2^10 - 
     18*T1^3*T2^11 - 96*T1^4*T2^11 - 71*T1^5*T2^11 + 31*T1^6*T2^11 - 
     1051*T1^7*T2^11 + 392*T1^8*T2^11 + 408*T1^9*T2^11 - 1356*T1^10*T2^11 + 
     1544*T1^11*T2^11 - 1123*T1^12*T2^11 - 131*T1^13*T2^11 - 
     251*T1^14*T2^11 + 12*T1^15*T2^11 - 108*T1^16*T2^11 + 42*T1^4*T2^12 + 
     48*T1^5*T2^12 + 42*T1^6*T2^12 + 111*T1^7*T2^12 + 876*T1^8*T2^12 - 
     1387*T1^9*T2^12 + 1562*T1^10*T2^12 - 1123*T1^11*T2^12 + 
     540*T1^12*T2^12 + 39*T1^13*T2^12 + 390*T1^14*T2^12 - 144*T1^15*T2^12 + 
     126*T1^16*T2^12 - 54*T1^5*T2^13 + 40*T1^6*T2^13 - 91*T1^7*T2^13 - 
     236*T1^8*T2^13 + 113*T1^9*T2^13 + 19*T1^10*T2^13 - 131*T1^11*T2^13 + 
     39*T1^12*T2^13 + 130*T1^13*T2^13 - 465*T1^14*T2^13 + 212*T1^15*T2^13 - 
     108*T1^16*T2^13 + 44*T1^6*T2^14 - 96*T1^7*T2^14 + 225*T1^8*T2^14 - 
     157*T1^9*T2^14 + 170*T1^10*T2^14 - 251*T1^11*T2^14 + 390*T1^12*T2^14 - 
     465*T1^13*T2^14 + 445*T1^14*T2^14 - 184*T1^15*T2^14 + 66*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 124*T1^9*T2^15 + 96*T1^10*T2^15 + 
     12*T1^11*T2^15 - 144*T1^12*T2^15 + 212*T1^13*T2^15 - 184*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     66*T1^10*T2^16 - 108*T1^11*T2^16 + 126*T1^12*T2^16 - 108*T1^13*T2^16 + 
     66*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 187] -> 
  {(1 - 5*T^2 + 12*T^3 - 15*T^4 + 12*T^5 - 5*T^6 + T^8)/T^4, 
   (-8 + 40*T1^2 - 96*T1^3 + 120*T1^4 - 96*T1^5 + 40*T1^6 - 8*T1^8 + 
     40*T2^2 - 167*T1^2*T2^2 + 457*T1^3*T2^2 - 698*T1^4*T2^2 + 
     773*T1^5*T2^2 - 598*T1^6*T2^2 + 337*T1^7*T2^2 - 107*T1^8*T2^2 + 
     30*T1^10*T2^2 - 96*T2^3 + 457*T1^2*T2^3 - 1108*T1^3*T2^3 + 
     1296*T1^4*T2^3 - 780*T1^5*T2^3 - 168*T1^6*T2^3 + 756*T1^7*T2^3 - 
     712*T1^8*T2^3 + 277*T1^9*T2^3 - 60*T1^11*T2^3 + 120*T2^4 - 
     698*T1^2*T2^4 + 1296*T1^3*T2^4 - 910*T1^4*T2^4 - 265*T1^5*T2^4 + 
     1150*T1^6*T2^4 - 985*T1^7*T2^4 + 50*T1^8*T2^4 + 576*T1^9*T2^4 - 
     398*T1^10*T2^4 + 60*T1^12*T2^4 - 96*T2^5 + 773*T1^2*T2^5 - 
     780*T1^3*T2^5 - 265*T1^4*T2^5 + 1438*T1^5*T2^5 - 1222*T1^6*T2^5 + 
     98*T1^7*T2^5 + 1078*T1^8*T2^5 - 865*T1^9*T2^5 + 413*T1^11*T2^5 - 
     36*T1^13*T2^5 + 40*T2^6 - 598*T1^2*T2^6 - 168*T1^3*T2^6 + 
     1150*T1^4*T2^6 - 1222*T1^5*T2^6 - 450*T1^6*T2^6 + 1600*T1^7*T2^6 - 
     1770*T1^8*T2^6 + 218*T1^9*T2^6 + 700*T1^10*T2^6 - 528*T1^11*T2^6 - 
     298*T1^12*T2^6 + 10*T1^14*T2^6 + 337*T1^2*T2^7 + 756*T1^3*T2^7 - 
     985*T1^4*T2^7 + 98*T1^5*T2^7 + 1600*T1^6*T2^7 - 1396*T1^7*T2^7 + 
     404*T1^8*T2^7 + 1240*T1^9*T2^7 - 982*T1^10*T2^7 + 95*T1^11*T2^7 + 
     576*T1^12*T2^7 + 157*T1^13*T2^7 - 8*T2^8 - 107*T1^2*T2^8 - 
     712*T1^3*T2^8 + 50*T1^4*T2^8 + 1078*T1^5*T2^8 - 1770*T1^6*T2^8 + 
     404*T1^7*T2^8 + 672*T1^8*T2^8 - 1276*T1^9*T2^8 + 46*T1^10*T2^8 + 
     646*T1^11*T2^8 - 570*T1^12*T2^8 - 328*T1^13*T2^8 - 47*T1^14*T2^8 + 
     277*T1^3*T2^9 + 576*T1^4*T2^9 - 865*T1^5*T2^9 + 218*T1^6*T2^9 + 
     1240*T1^7*T2^9 - 1276*T1^8*T2^9 + 524*T1^9*T2^9 + 880*T1^10*T2^9 - 
     862*T1^11*T2^9 + 215*T1^12*T2^9 + 396*T1^13*T2^9 + 97*T1^14*T2^9 + 
     30*T1^2*T2^10 - 398*T1^4*T2^10 + 700*T1^6*T2^10 - 982*T1^7*T2^10 + 
     46*T1^8*T2^10 + 880*T1^9*T2^10 - 1274*T1^10*T2^10 + 458*T1^11*T2^10 + 
     250*T1^12*T2^10 - 360*T1^13*T2^10 - 98*T1^14*T2^10 - 60*T1^3*T2^11 + 
     413*T1^5*T2^11 - 528*T1^6*T2^11 + 95*T1^7*T2^11 + 646*T1^8*T2^11 - 
     862*T1^9*T2^11 + 458*T1^10*T2^11 + 286*T1^11*T2^11 - 505*T1^12*T2^11 + 
     252*T1^13*T2^11 + 53*T1^14*T2^11 + 60*T1^4*T2^12 - 298*T1^6*T2^12 + 
     576*T1^7*T2^12 - 570*T1^8*T2^12 + 215*T1^9*T2^12 + 250*T1^10*T2^12 - 
     505*T1^11*T2^12 + 390*T1^12*T2^12 - 144*T1^13*T2^12 + 2*T1^14*T2^12 - 
     36*T1^5*T2^13 + 157*T1^7*T2^13 - 328*T1^8*T2^13 + 396*T1^9*T2^13 - 
     360*T1^10*T2^13 + 252*T1^11*T2^13 - 144*T1^12*T2^13 + 68*T1^13*T2^13 - 
     23*T1^14*T2^13 + 10*T1^6*T2^14 - 47*T1^8*T2^14 + 97*T1^9*T2^14 - 
     98*T1^10*T2^14 + 53*T1^11*T2^14 + 2*T1^12*T2^14 - 23*T1^13*T2^14 + 
     13*T1^14*T2^14)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 188] -> 
  {((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-6 + 24*T1 - 54*T1^2 + 72*T1^3 - 78*T1^4 + 72*T1^5 - 54*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 136*T1^2*T2 - 108*T1^3*T2 + 72*T1^4*T2 - 
     28*T1^5*T2 - 24*T1^6*T2 + 84*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     54*T2^2 + 136*T1*T2^2 - 201*T1^2*T2^2 + 66*T1^3*T2^2 - 51*T1^4*T2^2 + 
     21*T1^5*T2^2 + 21*T1^6*T2^2 - 78*T1^7*T2^2 - 57*T1^8*T2^2 + 
     64*T1^9*T2^2 - 36*T1^10*T2^2 + 72*T2^3 - 108*T1*T2^3 + 66*T1^2*T2^3 + 
     234*T1^3*T2^3 - 104*T1^4*T2^3 + 86*T1^5*T2^3 - 58*T1^6*T2^3 + 
     40*T1^7*T2^3 + 234*T1^8*T2^3 - 78*T1^9*T2^3 + 36*T1^11*T2^3 - 78*T2^4 + 
     72*T1*T2^4 - 51*T1^2*T2^4 - 104*T1^3*T2^4 - 435*T1^4*T2^4 + 
     476*T1^5*T2^4 - 507*T1^6*T2^4 + 444*T1^7*T2^4 - 579*T1^8*T2^4 + 
     40*T1^9*T2^4 + 33*T1^10*T2^4 - 40*T1^11*T2^4 - 26*T1^12*T2^4 + 72*T2^5 - 
     28*T1*T2^5 + 21*T1^2*T2^5 + 86*T1^3*T2^5 + 476*T1^4*T2^5 - 
     206*T1^5*T2^5 + 153*T1^6*T2^5 - 51*T1^7*T2^5 + 190*T1^8*T2^5 + 
     320*T1^9*T2^5 - 58*T1^10*T2^5 - 3*T1^11*T2^5 + 56*T1^12*T2^5 + 
     12*T1^13*T2^5 - 54*T2^6 - 24*T1*T2^6 + 21*T1^2*T2^6 - 58*T1^3*T2^6 - 
     507*T1^4*T2^6 + 153*T1^5*T2^6 - 192*T1^6*T2^6 + 168*T1^7*T2^6 - 
     360*T1^8*T2^6 - 63*T1^9*T2^6 - 237*T1^10*T2^6 + 86*T1^11*T2^6 - 
     27*T1^12*T2^6 - 48*T1^13*T2^6 + 24*T2^7 + 84*T1*T2^7 - 78*T1^2*T2^7 + 
     40*T1^3*T2^7 + 444*T1^4*T2^7 - 51*T1^5*T2^7 + 168*T1^6*T2^7 - 
     276*T1^7*T2^7 + 428*T1^8*T2^7 + 24*T1^9*T2^7 + 129*T1^10*T2^7 + 
     104*T1^11*T2^7 - 104*T1^12*T2^7 + 66*T1^13*T2^7 + 16*T1^14*T2^7 - 
     4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 - 57*T1^2*T2^8 + 234*T1^3*T2^8 - 
     579*T1^4*T2^8 + 190*T1^5*T2^8 - 360*T1^6*T2^8 + 428*T1^7*T2^8 - 
     240*T1^8*T2^8 - 276*T1^9*T2^8 + 144*T1^10*T2^8 - 242*T1^11*T2^8 + 
     137*T1^12*T2^8 - 6*T1^13*T2^8 - 45*T1^14*T2^8 + 8*T1^15*T2^8 + 
     2*T1^16*T2^8 + 20*T1*T2^9 + 64*T1^2*T2^9 - 78*T1^3*T2^9 + 40*T1^4*T2^9 + 
     320*T1^5*T2^9 - 63*T1^6*T2^9 + 24*T1^7*T2^9 - 276*T1^8*T2^9 + 
     428*T1^9*T2^9 - 120*T1^10*T2^9 + 117*T1^11*T2^9 - 20*T1^12*T2^9 - 
     104*T1^13*T2^9 + 66*T1^14*T2^9 - 4*T1^15*T2^9 - 8*T1^16*T2^9 - 
     36*T1^2*T2^10 + 33*T1^4*T2^10 - 58*T1^5*T2^10 - 237*T1^6*T2^10 + 
     129*T1^7*T2^10 + 144*T1^8*T2^10 - 120*T1^9*T2^10 - 24*T1^10*T2^10 - 
     87*T1^11*T2^10 + 33*T1^12*T2^10 + 86*T1^13*T2^10 - 15*T1^14*T2^10 - 
     24*T1^15*T2^10 + 18*T1^16*T2^10 + 36*T1^3*T2^11 - 40*T1^4*T2^11 - 
     3*T1^5*T2^11 + 86*T1^6*T2^11 + 104*T1^7*T2^11 - 242*T1^8*T2^11 + 
     117*T1^9*T2^11 - 87*T1^10*T2^11 + 154*T1^11*T2^11 - 52*T1^12*T2^11 - 
     58*T1^13*T2^11 - 27*T1^14*T2^11 + 44*T1^15*T2^11 - 24*T1^16*T2^11 - 
     26*T1^4*T2^12 + 56*T1^5*T2^12 - 27*T1^6*T2^12 - 104*T1^7*T2^12 + 
     137*T1^8*T2^12 - 20*T1^9*T2^12 + 33*T1^10*T2^12 - 52*T1^11*T2^12 - 
     7*T1^12*T2^12 + 40*T1^13*T2^12 + 57*T1^14*T2^12 - 56*T1^15*T2^12 + 
     26*T1^16*T2^12 + 12*T1^5*T2^13 - 48*T1^6*T2^13 + 66*T1^7*T2^13 - 
     6*T1^8*T2^13 - 104*T1^9*T2^13 + 86*T1^10*T2^13 - 58*T1^11*T2^13 + 
     40*T1^12*T2^13 - 6*T1^13*T2^13 - 78*T1^14*T2^13 + 60*T1^15*T2^13 - 
     24*T1^16*T2^13 + 16*T1^7*T2^14 - 45*T1^8*T2^14 + 66*T1^9*T2^14 - 
     15*T1^10*T2^14 - 27*T1^11*T2^14 + 57*T1^12*T2^14 - 78*T1^13*T2^14 + 
     99*T1^14*T2^14 - 56*T1^15*T2^14 + 18*T1^16*T2^14 - 4*T1^7*T2^15 + 
     8*T1^8*T2^15 - 4*T1^9*T2^15 - 24*T1^10*T2^15 + 44*T1^11*T2^15 - 
     56*T1^12*T2^15 + 60*T1^13*T2^15 - 56*T1^14*T2^15 + 28*T1^15*T2^15 - 
     8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 18*T1^10*T2^16 - 
     24*T1^11*T2^16 + 26*T1^12*T2^16 - 24*T1^13*T2^16 + 18*T1^14*T2^16 - 
     8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 189] -> 
  {-((1 - 4*T + 9*T^2 - 16*T^3 + 19*T^4 - 16*T^5 + 9*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 45*T1^2 + 80*T1^3 - 95*T1^4 + 80*T1^5 - 45*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 176*T1^3*T2 + 
      124*T1^4*T2 - 16*T1^5*T2 - 76*T1^6*T2 + 64*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 175*T1^2*T2^2 + 248*T1^3*T2^2 - 
      65*T1^4*T2^2 - 77*T1^5*T2^2 + 115*T1^6*T2^2 + 32*T1^7*T2^2 - 
      31*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 80*T2^3 - 176*T1*T2^3 + 
      248*T1^2*T2^3 - 370*T1^3*T2^3 + 36*T1^4*T2^3 + 34*T1^5*T2^3 - 
      26*T1^6*T2^3 - 168*T1^7*T2^3 - 22*T1^8*T2^3 - 4*T1^9*T2^3 - 
      20*T1^10*T2^3 + 32*T1^11*T2^3 - 95*T2^4 + 124*T1*T2^4 - 65*T1^2*T2^4 + 
      36*T1^3*T2^4 + 610*T1^4*T2^4 - 499*T1^5*T2^4 + 402*T1^6*T2^4 - 
      131*T1^7*T2^4 + 442*T1^8*T2^4 - 156*T1^9*T2^4 + 107*T1^10*T2^4 - 
      52*T1^11*T2^4 - 19*T1^12*T2^4 + 80*T2^5 - 16*T1*T2^5 - 77*T1^2*T2^5 + 
      34*T1^3*T2^5 - 499*T1^4*T2^5 - 198*T1^5*T2^5 + 227*T1^6*T2^5 - 
      153*T1^7*T2^5 - 482*T1^8*T2^5 - 15*T1^9*T2^5 - 18*T1^10*T2^5 - 
      29*T1^11*T2^5 + 76*T1^12*T2^5 - 45*T2^6 - 76*T1*T2^6 + 115*T1^2*T2^6 - 
      26*T1^3*T2^6 + 402*T1^4*T2^6 + 227*T1^5*T2^6 + 510*T1^6*T2^6 - 
      1006*T1^7*T2^6 + 1290*T1^8*T2^6 - 133*T1^9*T2^6 + 68*T1^10*T2^6 + 
      46*T1^11*T2^6 - 81*T1^12*T2^6 - 36*T1^13*T2^6 + 9*T1^14*T2^6 + 
      20*T2^7 + 64*T1*T2^7 + 32*T1^2*T2^7 - 168*T1^3*T2^7 - 131*T1^4*T2^7 - 
      153*T1^5*T2^7 - 1006*T1^6*T2^7 + 1266*T1^7*T2^7 - 774*T1^8*T2^7 - 
      534*T1^9*T2^7 + 267*T1^10*T2^7 - 151*T1^11*T2^7 + 84*T1^12*T2^7 + 
      68*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 
      31*T1^2*T2^8 - 22*T1^3*T2^8 + 442*T1^4*T2^8 - 482*T1^5*T2^8 + 
      1290*T1^6*T2^8 - 774*T1^7*T2^8 - 384*T1^8*T2^8 + 1194*T1^9*T2^8 - 
      486*T1^10*T2^8 + 126*T1^11*T2^8 - 74*T1^12*T2^8 - 70*T1^13*T2^8 - 
      19*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      44*T1^2*T2^9 - 4*T1^3*T2^9 - 156*T1^4*T2^9 - 15*T1^5*T2^9 - 
      133*T1^6*T2^9 - 534*T1^7*T2^9 + 1194*T1^8*T2^9 - 846*T1^9*T2^9 - 
      62*T1^10*T2^9 + 287*T1^11*T2^9 - 35*T1^12*T2^9 + 96*T1^13*T2^9 + 
      32*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 27*T1^2*T2^10 - 
      20*T1^3*T2^10 + 107*T1^4*T2^10 - 18*T1^5*T2^10 + 68*T1^6*T2^10 + 
      267*T1^7*T2^10 - 486*T1^8*T2^10 - 62*T1^9*T2^10 + 294*T1^10*T2^10 - 
      93*T1^11*T2^10 - 266*T1^12*T2^10 + 54*T1^13*T2^10 - 89*T1^14*T2^10 + 
      20*T1^15*T2^10 + 27*T1^16*T2^10 + 32*T1^3*T2^11 - 52*T1^4*T2^11 - 
      29*T1^5*T2^11 + 46*T1^6*T2^11 - 151*T1^7*T2^11 + 126*T1^8*T2^11 + 
      287*T1^9*T2^11 - 93*T1^10*T2^11 - 158*T1^11*T2^11 + 333*T1^12*T2^11 - 
      6*T1^13*T2^11 + 19*T1^14*T2^11 + 40*T1^15*T2^11 - 48*T1^16*T2^11 - 
      19*T1^4*T2^12 + 76*T1^5*T2^12 - 81*T1^6*T2^12 + 84*T1^7*T2^12 - 
      74*T1^8*T2^12 - 35*T1^9*T2^12 - 266*T1^10*T2^12 + 333*T1^11*T2^12 - 
      242*T1^12*T2^12 - 108*T1^13*T2^12 + 91*T1^14*T2^12 - 100*T1^15*T2^12 + 
      57*T1^16*T2^12 - 36*T1^6*T2^13 + 68*T1^7*T2^13 - 70*T1^8*T2^13 + 
      96*T1^9*T2^13 + 54*T1^10*T2^13 - 6*T1^11*T2^13 - 108*T1^12*T2^13 + 
      278*T1^13*T2^13 - 184*T1^14*T2^13 + 120*T1^15*T2^13 - 48*T1^16*T2^13 + 
      9*T1^6*T2^14 - 4*T1^7*T2^14 - 19*T1^8*T2^14 + 32*T1^9*T2^14 - 
      89*T1^10*T2^14 + 19*T1^11*T2^14 + 91*T1^12*T2^14 - 184*T1^13*T2^14 + 
      125*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 24*T1^9*T2^15 + 20*T1^10*T2^15 + 40*T1^11*T2^15 - 
      100*T1^12*T2^15 + 120*T1^13*T2^15 - 76*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 27*T1^10*T2^16 - 
      48*T1^11*T2^16 + 57*T1^12*T2^16 - 48*T1^13*T2^16 + 27*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 190] -> 
  {(1 - 3*T + 8*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 8*T^6 - 3*T^7 + T^8)/T^4, 
   (-2 + 6*T1 - 16*T1^2 + 26*T1^3 - 30*T1^4 + 26*T1^5 - 16*T1^6 + 6*T1^7 - 
     2*T1^8 + 6*T2 - 15*T1*T2 + 39*T1^2*T2 - 54*T1^3*T2 + 51*T1^4*T2 - 
     33*T1^5*T2 + 9*T1^6*T2 + 6*T1^7*T2 - 3*T1^8*T2 + 3*T1^9*T2 - 16*T2^2 + 
     39*T1*T2^2 - 94*T1^2*T2^2 + 123*T1^3*T2^2 - 107*T1^4*T2^2 + 
     56*T1^5*T2^2 + 5*T1^6*T2^2 - 37*T1^7*T2^2 + 18*T1^8*T2^2 - 9*T1^9*T2^2 + 
     26*T2^3 - 54*T1*T2^3 + 123*T1^2*T2^3 - 151*T1^3*T2^3 + 118*T1^4*T2^3 - 
     83*T1^5*T2^3 + 64*T1^6*T2^3 - 80*T1^7*T2^3 + 131*T1^8*T2^3 - 
     93*T1^9*T2^3 + 39*T1^10*T2^3 - 13*T1^11*T2^3 - 30*T2^4 + 51*T1*T2^4 - 
     107*T1^2*T2^4 + 118*T1^3*T2^4 - 36*T1^4*T2^4 + 19*T1^5*T2^4 + 
     10*T1^6*T2^4 - 35*T1^7*T2^4 + 24*T1^8*T2^4 - 116*T1^9*T2^4 + 
     139*T1^10*T2^4 - 51*T1^11*T2^4 + 30*T1^12*T2^4 + 26*T2^5 - 33*T1*T2^5 + 
     56*T1^2*T2^5 - 83*T1^3*T2^5 + 19*T1^4*T2^5 - 234*T1^5*T2^5 + 
     363*T1^6*T2^5 - 429*T1^7*T2^5 + 430*T1^8*T2^5 - 210*T1^9*T2^5 + 
     98*T1^10*T2^5 - 163*T1^11*T2^5 + 27*T1^12*T2^5 - 39*T1^13*T2^5 - 
     16*T2^6 + 9*T1*T2^6 + 5*T1^2*T2^6 + 64*T1^3*T2^6 + 10*T1^4*T2^6 + 
     363*T1^5*T2^6 - 292*T1^6*T2^6 + 92*T1^7*T2^6 + 164*T1^8*T2^6 - 
     477*T1^9*T2^6 + 382*T1^10*T2^6 - 32*T1^11*T2^6 + 161*T1^12*T2^6 + 
     21*T1^13*T2^6 + 32*T1^14*T2^6 + 6*T2^7 + 6*T1*T2^7 - 37*T1^2*T2^7 - 
     80*T1^3*T2^7 - 35*T1^4*T2^7 - 429*T1^5*T2^7 + 92*T1^6*T2^7 + 
     50*T1^7*T2^7 - 94*T1^8*T2^7 + 83*T1^9*T2^7 + 267*T1^10*T2^7 - 
     506*T1^11*T2^7 - 26*T1^12*T2^7 - 157*T1^13*T2^7 - 51*T1^14*T2^7 - 
     15*T1^15*T2^7 - 2*T2^8 - 3*T1*T2^8 + 18*T1^2*T2^8 + 131*T1^3*T2^8 + 
     24*T1^4*T2^8 + 430*T1^5*T2^8 + 164*T1^6*T2^8 - 94*T1^7*T2^8 + 
     66*T1^9*T2^8 - 270*T1^10*T2^8 + 174*T1^11*T2^8 + 476*T1^12*T2^8 + 
     29*T1^13*T2^8 + 176*T1^14*T2^8 + 27*T1^15*T2^8 + 6*T1^16*T2^8 + 
     3*T1*T2^9 - 9*T1^2*T2^9 - 93*T1^3*T2^9 - 116*T1^4*T2^9 - 210*T1^5*T2^9 - 
     477*T1^6*T2^9 + 83*T1^7*T2^9 + 66*T1^8*T2^9 - 78*T1^9*T2^9 + 
     74*T1^10*T2^9 + 219*T1^11*T2^9 - 681*T1^12*T2^9 - 62*T1^13*T2^9 - 
     213*T1^14*T2^9 - 66*T1^15*T2^9 - 18*T1^16*T2^9 + 39*T1^3*T2^10 + 
     139*T1^4*T2^10 + 98*T1^5*T2^10 + 382*T1^6*T2^10 + 267*T1^7*T2^10 - 
     270*T1^8*T2^10 + 74*T1^9*T2^10 + 186*T1^10*T2^10 - 573*T1^11*T2^10 + 
     754*T1^12*T2^10 + 2*T1^13*T2^10 + 295*T1^14*T2^10 + 51*T1^15*T2^10 + 
     48*T1^16*T2^10 - 13*T1^3*T2^11 - 51*T1^4*T2^11 - 163*T1^5*T2^11 - 
     32*T1^6*T2^11 - 506*T1^7*T2^11 + 174*T1^8*T2^11 + 219*T1^9*T2^11 - 
     573*T1^10*T2^11 + 838*T1^11*T2^11 - 735*T1^12*T2^11 + 149*T1^13*T2^11 - 
     382*T1^14*T2^11 + 9*T1^15*T2^11 - 78*T1^16*T2^11 + 30*T1^4*T2^12 + 
     27*T1^5*T2^12 + 161*T1^6*T2^12 - 26*T1^7*T2^12 + 476*T1^8*T2^12 - 
     681*T1^9*T2^12 + 754*T1^10*T2^12 - 735*T1^11*T2^12 + 536*T1^12*T2^12 - 
     260*T1^13*T2^12 + 407*T1^14*T2^12 - 75*T1^15*T2^12 + 90*T1^16*T2^12 - 
     39*T1^5*T2^13 + 21*T1^6*T2^13 - 157*T1^7*T2^13 + 29*T1^8*T2^13 - 
     62*T1^9*T2^13 + 2*T1^10*T2^13 + 149*T1^11*T2^13 - 260*T1^12*T2^13 + 
     311*T1^13*T2^13 - 373*T1^14*T2^13 + 114*T1^15*T2^13 - 78*T1^16*T2^13 + 
     32*T1^6*T2^14 - 51*T1^7*T2^14 + 176*T1^8*T2^14 - 213*T1^9*T2^14 + 
     295*T1^10*T2^14 - 382*T1^11*T2^14 + 407*T1^12*T2^14 - 373*T1^13*T2^14 + 
     288*T1^14*T2^14 - 99*T1^15*T2^14 + 48*T1^16*T2^14 - 15*T1^7*T2^15 + 
     27*T1^8*T2^15 - 66*T1^9*T2^15 + 51*T1^10*T2^15 + 9*T1^11*T2^15 - 
     75*T1^12*T2^15 + 114*T1^13*T2^15 - 99*T1^14*T2^15 + 39*T1^15*T2^15 - 
     18*T1^16*T2^15 + 6*T1^8*T2^16 - 18*T1^9*T2^16 + 48*T1^10*T2^16 - 
     78*T1^11*T2^16 + 90*T1^12*T2^16 - 78*T1^13*T2^16 + 48*T1^14*T2^16 - 
     18*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 191] -> 
  {-((1 - 5*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-7 + 35*T1 - 70*T1^2 + 105*T1^3 - 119*T1^4 + 105*T1^5 - 
      70*T1^6 + 35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 198*T1^2*T2 - 
      223*T1^3*T2 + 144*T1^4*T2 - 16*T1^5*T2 - 98*T1^6*T2 + 123*T1^7*T2 - 
      115*T1^8*T2 + 30*T1^9*T2 - 70*T2^2 + 198*T1*T2^2 + 12*T1^2*T2^2 - 
      218*T1^3*T2^2 + 584*T1^4*T2^2 - 776*T1^5*T2^2 + 724*T1^6*T2^2 - 
      418*T1^7*T2^2 + 192*T1^8*T2^2 + 98*T1^9*T2^2 - 50*T1^10*T2^2 + 
      105*T2^3 - 223*T1*T2^3 - 218*T1^2*T2^3 + 267*T1^3*T2^3 - 
      545*T1^4*T2^3 + 389*T1^5*T2^3 - 86*T1^6*T2^3 - 285*T1^7*T2^3 + 
      237*T1^8*T2^3 - 368*T1^9*T2^3 - 48*T1^10*T2^3 + 60*T1^11*T2^3 - 
      119*T2^4 + 144*T1*T2^4 + 584*T1^2*T2^4 - 545*T1^3*T2^4 + 
      1125*T1^4*T2^4 - 992*T1^5*T2^4 + 887*T1^6*T2^4 - 622*T1^7*T2^4 + 
      713*T1^8*T2^4 - 215*T1^9*T2^4 + 514*T1^10*T2^4 - 46*T1^11*T2^4 - 
      51*T1^12*T2^4 + 105*T2^5 - 16*T1*T2^5 - 776*T1^2*T2^5 + 389*T1^3*T2^5 - 
      992*T1^4*T2^5 + 504*T1^5*T2^5 - 387*T1^6*T2^5 + 63*T1^7*T2^5 - 
      156*T1^8*T2^5 - 437*T1^9*T2^5 - 136*T1^10*T2^5 - 401*T1^11*T2^5 + 
      104*T1^12*T2^5 + 30*T1^13*T2^5 - 70*T2^6 - 98*T1*T2^6 + 724*T1^2*T2^6 - 
      86*T1^3*T2^6 + 887*T1^4*T2^6 - 387*T1^5*T2^6 + 634*T1^6*T2^6 - 
      460*T1^7*T2^6 + 554*T1^8*T2^6 + 113*T1^9*T2^6 + 467*T1^10*T2^6 + 
      314*T1^11*T2^6 + 164*T1^12*T2^6 - 98*T1^13*T2^6 - 10*T1^14*T2^6 + 
      35*T2^7 + 123*T1*T2^7 - 418*T1^2*T2^7 - 285*T1^3*T2^7 - 622*T1^4*T2^7 + 
      63*T1^5*T2^7 - 460*T1^6*T2^7 + 234*T1^7*T2^7 - 216*T1^8*T2^7 - 
      335*T1^9*T2^7 - 287*T1^10*T2^7 - 437*T1^11*T2^7 - 265*T1^12*T2^7 + 
      32*T1^13*T2^7 + 48*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 192*T1^2*T2^8 + 
      237*T1^3*T2^8 + 713*T1^4*T2^8 - 156*T1^5*T2^8 + 554*T1^6*T2^8 - 
      216*T1^7*T2^8 + 96*T1^8*T2^8 + 244*T1^9*T2^8 + 284*T1^10*T2^8 + 
      324*T1^11*T2^8 + 349*T1^12*T2^8 + 67*T1^13*T2^8 - 78*T1^14*T2^8 - 
      5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 98*T1^2*T2^9 - 368*T1^3*T2^9 - 
      215*T1^4*T2^9 - 437*T1^5*T2^9 + 113*T1^6*T2^9 - 335*T1^7*T2^9 + 
      244*T1^8*T2^9 - 206*T1^9*T2^9 - 210*T1^10*T2^9 - 237*T1^11*T2^9 - 
      252*T1^12*T2^9 - 195*T1^13*T2^9 + 82*T1^14*T2^9 + 23*T1^15*T2^9 - 
      5*T1^16*T2^9 - 50*T1^2*T2^10 - 48*T1^3*T2^10 + 514*T1^4*T2^10 - 
      136*T1^5*T2^10 + 467*T1^6*T2^10 - 287*T1^7*T2^10 + 284*T1^8*T2^10 - 
      210*T1^9*T2^10 + 204*T1^10*T2^10 + 213*T1^11*T2^10 + 47*T1^12*T2^10 + 
      264*T1^13*T2^10 - 46*T1^14*T2^10 - 48*T1^15*T2^10 + 10*T1^16*T2^10 + 
      60*T1^3*T2^11 - 46*T1^4*T2^11 - 401*T1^5*T2^11 + 314*T1^6*T2^11 - 
      437*T1^7*T2^11 + 324*T1^8*T2^11 - 237*T1^9*T2^11 + 213*T1^10*T2^11 - 
      336*T1^11*T2^11 + 118*T1^12*T2^11 - 211*T1^13*T2^11 - 26*T1^14*T2^11 + 
      74*T1^15*T2^11 - 15*T1^16*T2^11 - 51*T1^4*T2^12 + 104*T1^5*T2^12 + 
      164*T1^6*T2^12 - 265*T1^7*T2^12 + 349*T1^8*T2^12 - 252*T1^9*T2^12 + 
      47*T1^10*T2^12 + 118*T1^11*T2^12 - 63*T1^12*T2^12 + 65*T1^13*T2^12 + 
      94*T1^14*T2^12 - 86*T1^15*T2^12 + 17*T1^16*T2^12 + 30*T1^5*T2^13 - 
      98*T1^6*T2^13 + 32*T1^7*T2^13 + 67*T1^8*T2^13 - 195*T1^9*T2^13 + 
      264*T1^10*T2^13 - 211*T1^11*T2^13 + 65*T1^12*T2^13 + 37*T1^13*T2^13 - 
      118*T1^14*T2^13 + 77*T1^15*T2^13 - 15*T1^16*T2^13 - 10*T1^6*T2^14 + 
      48*T1^7*T2^14 - 78*T1^8*T2^14 + 82*T1^9*T2^14 - 46*T1^10*T2^14 - 
      26*T1^11*T2^14 + 94*T1^12*T2^14 - 118*T1^13*T2^14 + 102*T1^14*T2^14 - 
      52*T1^15*T2^14 + 10*T1^16*T2^14 - 5*T1^8*T2^15 + 23*T1^9*T2^15 - 
      48*T1^10*T2^15 + 74*T1^11*T2^15 - 86*T1^12*T2^15 + 77*T1^13*T2^15 - 
      52*T1^14*T2^15 + 25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 
      5*T1^9*T2^16 + 10*T1^10*T2^16 - 15*T1^11*T2^16 + 17*T1^12*T2^16 - 
      15*T1^13*T2^16 + 10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 192] -> 
  {(1 - T - 2*T^2 + 7*T^3 - 9*T^4 + 7*T^5 - 2*T^6 - T^7 + T^8)/T^4, 
   (-2 + 2*T1 + 4*T1^2 - 14*T1^3 + 18*T1^4 - 14*T1^5 + 4*T1^6 + 2*T1^7 - 
     2*T1^8 + 2*T2 - 3*T1*T2 - T1^2*T2 + 7*T1^3*T2 - 9*T1^4*T2 + 7*T1^5*T2 - 
     2*T1^6*T2 - T1^8*T2 + T1^9*T2 + 4*T2^2 - T1*T2^2 - 11*T1^2*T2^2 + 
     38*T1^3*T2^2 - 52*T1^4*T2^2 + 49*T1^5*T2^2 - 24*T1^6*T2^2 + 
     6*T1^7*T2^2 + T1^8*T2^2 + 3*T1^9*T2^2 - 14*T2^3 + 7*T1*T2^3 + 
     38*T1^2*T2^3 - 121*T1^3*T2^3 + 149*T1^4*T2^3 - 120*T1^5*T2^3 + 
     37*T1^6*T2^3 - T1^7*T2^3 + 3*T1^8*T2^3 - 8*T1^9*T2^3 - 12*T1^10*T2^3 + 
     7*T1^11*T2^3 + 18*T2^4 - 9*T1*T2^4 - 52*T1^2*T2^4 + 149*T1^3*T2^4 - 
     147*T1^4*T2^4 + 56*T1^5*T2^4 + 93*T1^6*T2^4 - 134*T1^7*T2^4 + 
     101*T1^8*T2^4 - 61*T1^9*T2^4 + 34*T1^10*T2^4 + 13*T1^11*T2^4 - 
     18*T1^12*T2^4 - 14*T2^5 + 7*T1*T2^5 + 49*T1^2*T2^5 - 120*T1^3*T2^5 + 
     56*T1^4*T2^5 + 106*T1^5*T2^5 - 250*T1^6*T2^5 + 182*T1^7*T2^5 - 
     26*T1^8*T2^5 - 83*T1^9*T2^5 + 99*T1^10*T2^5 - 62*T1^11*T2^5 - 
     T1^12*T2^5 + 21*T1^13*T2^5 + 4*T2^6 - 2*T1*T2^6 - 24*T1^2*T2^6 + 
     37*T1^3*T2^6 + 93*T1^4*T2^6 - 250*T1^5*T2^6 + 244*T1^6*T2^6 + 
     2*T1^7*T2^6 - 196*T1^8*T2^6 + 234*T1^9*T2^6 - 103*T1^10*T2^6 - 
     27*T1^11*T2^6 + 64*T1^12*T2^6 - 18*T1^13*T2^6 - 8*T1^14*T2^6 + 2*T2^7 + 
     6*T1^2*T2^7 - T1^3*T2^7 - 134*T1^4*T2^7 + 182*T1^5*T2^7 + 2*T1^6*T2^7 - 
     308*T1^7*T2^7 + 326*T1^8*T2^7 - 155*T1^9*T2^7 - 146*T1^10*T2^7 + 
     209*T1^11*T2^7 - 91*T1^12*T2^7 - 32*T1^13*T2^7 + 17*T1^14*T2^7 - 
     5*T1^15*T2^7 - 2*T2^8 - T1*T2^8 + T1^2*T2^8 + 3*T1^3*T2^8 + 
     101*T1^4*T2^8 - 26*T1^5*T2^8 - 196*T1^6*T2^8 + 326*T1^7*T2^8 - 
     24*T1^8*T2^8 - 258*T1^9*T2^8 + 454*T1^10*T2^8 - 206*T1^11*T2^8 - 
     59*T1^12*T2^8 + 129*T1^13*T2^8 - 5*T1^14*T2^8 - 3*T1^15*T2^8 + 
     6*T1^16*T2^8 + T1*T2^9 + 3*T1^2*T2^9 - 8*T1^3*T2^9 - 61*T1^4*T2^9 - 
     83*T1^5*T2^9 + 234*T1^6*T2^9 - 155*T1^7*T2^9 - 258*T1^8*T2^9 + 
     376*T1^9*T2^9 - 312*T1^10*T2^9 - 94*T1^11*T2^9 + 260*T1^12*T2^9 - 
     151*T1^13*T2^9 - 46*T1^14*T2^9 + 20*T1^15*T2^9 - 6*T1^16*T2^9 - 
     12*T1^3*T2^10 + 34*T1^4*T2^10 + 99*T1^5*T2^10 - 103*T1^6*T2^10 - 
     146*T1^7*T2^10 + 454*T1^8*T2^10 - 312*T1^9*T2^10 + 14*T1^10*T2^10 + 
     338*T1^11*T2^10 - 299*T1^12*T2^10 + 35*T1^13*T2^10 + 122*T1^14*T2^10 - 
     28*T1^15*T2^10 - 12*T1^16*T2^10 + 7*T1^3*T2^11 + 13*T1^4*T2^11 - 
     62*T1^5*T2^11 - 27*T1^6*T2^11 + 209*T1^7*T2^11 - 206*T1^8*T2^11 - 
     94*T1^9*T2^11 + 338*T1^10*T2^11 - 338*T1^11*T2^11 + 70*T1^12*T2^11 + 
     192*T1^13*T2^11 - 173*T1^14*T2^11 + 5*T1^15*T2^11 + 42*T1^16*T2^11 - 
     18*T1^4*T2^12 - T1^5*T2^12 + 64*T1^6*T2^12 - 91*T1^7*T2^12 - 
     59*T1^8*T2^12 + 260*T1^9*T2^12 - 299*T1^10*T2^12 + 70*T1^11*T2^12 + 
     189*T1^12*T2^12 - 301*T1^13*T2^12 + 150*T1^14*T2^12 + 21*T1^15*T2^12 - 
     54*T1^16*T2^12 + 21*T1^5*T2^13 - 18*T1^6*T2^13 - 32*T1^7*T2^13 + 
     129*T1^8*T2^13 - 151*T1^9*T2^13 + 35*T1^10*T2^13 + 192*T1^11*T2^13 - 
     301*T1^12*T2^13 + 253*T1^13*T2^13 - 78*T1^14*T2^13 - 37*T1^15*T2^13 + 
     42*T1^16*T2^13 - 8*T1^6*T2^14 + 17*T1^7*T2^14 - 5*T1^8*T2^14 - 
     46*T1^9*T2^14 + 122*T1^10*T2^14 - 173*T1^11*T2^14 + 150*T1^12*T2^14 - 
     78*T1^13*T2^14 + 7*T1^14*T2^14 + 21*T1^15*T2^14 - 12*T1^16*T2^14 - 
     5*T1^7*T2^15 - 3*T1^8*T2^15 + 20*T1^9*T2^15 - 28*T1^10*T2^15 + 
     5*T1^11*T2^15 + 21*T1^12*T2^15 - 37*T1^13*T2^15 + 21*T1^14*T2^15 - 
     T1^15*T2^15 - 6*T1^16*T2^15 + 6*T1^8*T2^16 - 6*T1^9*T2^16 - 
     12*T1^10*T2^16 + 42*T1^11*T2^16 - 54*T1^12*T2^16 + 42*T1^13*T2^16 - 
     12*T1^14*T2^16 - 6*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 193] -> 
  {(2 - 6*T + 13*T^2 - 17*T^3 + 13*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-15 + 45*T1 - 97*T1^2 + 127*T1^3 - 97*T1^4 + 45*T1^5 - 15*T1^6 + 45*T2 - 
     114*T1*T2 + 228*T1^2*T2 - 246*T1^3*T2 + 114*T1^4*T2 - 18*T1^6*T2 + 
     21*T1^7*T2 - 97*T2^2 + 228*T1*T2^2 - 379*T1^2*T2^2 + 280*T1^3*T2^2 + 
     93*T1^4*T2^2 - 292*T1^5*T2^2 + 193*T1^6*T2^2 - 84*T1^7*T2^2 + 
     7*T1^8*T2^2 + 127*T2^3 - 246*T1*T2^3 + 280*T1^2*T2^3 - 88*T1^3*T2^3 - 
     283*T1^4*T2^3 + 119*T1^5*T2^3 + 368*T1^6*T2^3 - 422*T1^7*T2^3 + 
     210*T1^8*T2^3 - 77*T1^9*T2^3 - 97*T2^4 + 114*T1*T2^4 + 93*T1^2*T2^4 - 
     283*T1^3*T2^4 + 582*T1^4*T2^4 - 46*T1^5*T2^4 - 518*T1^6*T2^4 + 
     193*T1^7*T2^4 + 221*T1^8*T2^4 - 102*T1^9*T2^4 + 111*T1^10*T2^4 + 
     45*T2^5 - 292*T1^2*T2^5 + 119*T1^3*T2^5 - 46*T1^4*T2^5 - 
     1105*T1^5*T2^5 + 1559*T1^6*T2^5 - 579*T1^7*T2^5 - 135*T1^8*T2^5 - 
     110*T1^9*T2^5 - 108*T1^10*T2^5 - 75*T1^11*T2^5 - 15*T2^6 - 18*T1*T2^6 + 
     193*T1^2*T2^6 + 368*T1^3*T2^6 - 518*T1^4*T2^6 + 1559*T1^5*T2^6 - 
     1008*T1^6*T2^6 - 719*T1^7*T2^6 + 1064*T1^8*T2^6 - 196*T1^9*T2^6 + 
     317*T1^10*T2^6 + 126*T1^11*T2^6 + 33*T1^12*T2^6 + 21*T1*T2^7 - 
     84*T1^2*T2^7 - 422*T1^3*T2^7 + 193*T1^4*T2^7 - 579*T1^5*T2^7 - 
     719*T1^6*T2^7 + 1945*T1^7*T2^7 - 1112*T1^8*T2^7 - 61*T1^9*T2^7 - 
     240*T1^10*T2^7 - 192*T1^11*T2^7 - 99*T1^12*T2^7 + 7*T1^2*T2^8 + 
     210*T1^3*T2^8 + 221*T1^4*T2^8 - 135*T1^5*T2^8 + 1064*T1^6*T2^8 - 
     1112*T1^7*T2^8 - 36*T1^8*T2^8 + 341*T1^9*T2^8 + 349*T1^10*T2^8 - 
     6*T1^11*T2^8 + 215*T1^12*T2^8 - 77*T1^3*T2^9 - 102*T1^4*T2^9 - 
     110*T1^5*T2^9 - 196*T1^6*T2^9 - 61*T1^7*T2^9 + 341*T1^8*T2^9 + 
     260*T1^9*T2^9 - 812*T1^10*T2^9 + 354*T1^11*T2^9 - 281*T1^12*T2^9 + 
     111*T1^4*T2^10 - 108*T1^5*T2^10 + 317*T1^6*T2^10 - 240*T1^7*T2^10 + 
     349*T1^8*T2^10 - 812*T1^9*T2^10 + 889*T1^10*T2^10 - 420*T1^11*T2^10 + 
     215*T1^12*T2^10 - 75*T1^5*T2^11 + 126*T1^6*T2^11 - 192*T1^7*T2^11 - 
     6*T1^8*T2^11 + 354*T1^9*T2^11 - 420*T1^10*T2^11 + 222*T1^11*T2^11 - 
     99*T1^12*T2^11 + 33*T1^6*T2^12 - 99*T1^7*T2^12 + 215*T1^8*T2^12 - 
     281*T1^9*T2^12 + 215*T1^10*T2^12 - 99*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 194] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-41 + 205*T1 - 389*T1^2 + 471*T1^3 - 389*T1^4 + 205*T1^5 - 41*T1^6 + 
      205*T2 - 860*T1*T2 + 1108*T1^2*T2 - 782*T1^3*T2 + 58*T1^4*T2 + 
      528*T1^5*T2 - 620*T1^6*T2 + 165*T1^7*T2 - 389*T2^2 + 1108*T1*T2^2 + 
      277*T1^2*T2^2 - 2268*T1^3*T2^2 + 3629*T1^4*T2^2 - 3256*T1^5*T2^2 + 
      1569*T1^6*T2^2 + 348*T1^7*T2^2 - 237*T1^8*T2^2 + 471*T2^3 - 
      782*T1*T2^3 - 2268*T1^2*T2^3 + 3796*T1^3*T2^3 - 3279*T1^4*T2^3 + 
      699*T1^5*T2^3 + 1736*T1^6*T2^3 - 2610*T1^7*T2^3 + 218*T1^8*T2^3 + 
      195*T1^9*T2^3 - 389*T2^4 + 58*T1*T2^4 + 3629*T1^2*T2^4 - 
      3279*T1^3*T2^4 + 1344*T1^4*T2^4 + 1296*T1^5*T2^4 - 2052*T1^6*T2^4 + 
      1045*T1^7*T2^4 + 1917*T1^8*T2^4 - 542*T1^9*T2^4 - 85*T1^10*T2^4 + 
      205*T2^5 + 528*T1*T2^5 - 3256*T1^2*T2^5 + 699*T1^3*T2^5 + 
      1296*T1^4*T2^5 - 2229*T1^5*T2^5 + 795*T1^6*T2^5 + 973*T1^7*T2^5 - 
      2587*T1^8*T2^5 - 330*T1^9*T2^5 + 388*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 620*T1*T2^6 + 1569*T1^2*T2^6 + 1736*T1^3*T2^6 - 
      2052*T1^4*T2^6 + 795*T1^5*T2^6 + 1380*T1^6*T2^6 - 2031*T1^7*T2^6 + 
      1478*T1^8*T2^6 + 1564*T1^9*T2^6 - 531*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 165*T1*T2^7 + 348*T1^2*T2^7 - 2610*T1^3*T2^7 + 
      1045*T1^4*T2^7 + 973*T1^5*T2^7 - 2031*T1^6*T2^7 + 993*T1^7*T2^7 + 
      650*T1^8*T2^7 - 2241*T1^9*T2^7 + 316*T1^10*T2^7 + 208*T1^11*T2^7 - 
      35*T1^12*T2^7 - 237*T1^2*T2^8 + 218*T1^3*T2^8 + 1917*T1^4*T2^8 - 
      2587*T1^5*T2^8 + 1478*T1^6*T2^8 + 650*T1^7*T2^8 - 1918*T1^8*T2^8 + 
      1737*T1^9*T2^8 + 205*T1^10*T2^8 - 382*T1^11*T2^8 + 67*T1^12*T2^8 + 
      195*T1^3*T2^9 - 542*T1^4*T2^9 - 330*T1^5*T2^9 + 1564*T1^6*T2^9 - 
      2241*T1^7*T2^9 + 1737*T1^8*T2^9 - 496*T1^9*T2^9 - 672*T1^10*T2^9 + 
      458*T1^11*T2^9 - 81*T1^12*T2^9 - 85*T1^4*T2^10 + 388*T1^5*T2^10 - 
      531*T1^6*T2^10 + 316*T1^7*T2^10 + 205*T1^8*T2^10 - 672*T1^9*T2^10 + 
      761*T1^10*T2^10 - 372*T1^11*T2^10 + 67*T1^12*T2^10 + 5*T1^5*T2^11 - 
      60*T1^6*T2^11 + 208*T1^7*T2^11 - 382*T1^8*T2^11 + 458*T1^9*T2^11 - 
      372*T1^10*T2^11 + 180*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 
      35*T1^7*T2^12 + 67*T1^8*T2^12 - 81*T1^9*T2^12 + 67*T1^10*T2^12 - 
      35*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 195] -> 
  {(2 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + 2*T^6)/T^3, 
   (-15 + 31*T1 - 25*T1^2 + 11*T1^3 - 25*T1^4 + 31*T1^5 - 15*T1^6 + 31*T2 - 
     54*T1*T2 + 28*T1^2*T2 + 32*T1^4*T2 - 28*T1^5*T2 - 6*T1^6*T2 + 
     15*T1^7*T2 - 25*T2^2 + 28*T1*T2^2 + 18*T1^2*T2^2 - 34*T1^3*T2^2 - 
     14*T1^4*T2^2 + 2*T1^5*T2^2 + 30*T1^6*T2^2 - 20*T1^7*T2^2 - T1^8*T2^2 + 
     11*T2^3 - 34*T1^2*T2^3 + 38*T1^3*T2^3 + 3*T1^4*T2^3 + 9*T1^5*T2^3 - 
     28*T1^6*T2^3 + 20*T1^7*T2^3 - T1^9*T2^3 - 25*T2^4 + 32*T1*T2^4 - 
     14*T1^2*T2^4 + 3*T1^3*T2^4 - 99*T1^4*T2^4 + 105*T1^5*T2^4 - 
     51*T1^6*T2^4 - 13*T1^7*T2^4 + 26*T1^8*T2^4 - 48*T1^9*T2^4 + 
     23*T1^10*T2^4 + 31*T2^5 - 28*T1*T2^5 + 2*T1^2*T2^5 + 9*T1^3*T2^5 + 
     105*T1^4*T2^5 - 37*T1^5*T2^5 - 37*T1^6*T2^5 + 72*T1^7*T2^5 - 
     41*T1^8*T2^5 + 20*T1^9*T2^5 + 60*T1^10*T2^5 - 49*T1^11*T2^5 - 15*T2^6 - 
     6*T1*T2^6 + 30*T1^2*T2^6 - 28*T1^3*T2^6 - 51*T1^4*T2^6 - 37*T1^5*T2^6 + 
     36*T1^6*T2^6 - 15*T1^7*T2^6 - 25*T1^8*T2^6 + 68*T1^9*T2^6 - 
     118*T1^10*T2^6 + 26*T1^11*T2^6 + 33*T1^12*T2^6 + 15*T1*T2^7 - 
     20*T1^2*T2^7 + 20*T1^3*T2^7 - 13*T1^4*T2^7 + 72*T1^5*T2^7 - 
     15*T1^6*T2^7 - 15*T1^7*T2^7 + 39*T1^8*T2^7 - 63*T1^9*T2^7 + 
     38*T1^10*T2^7 + 68*T1^11*T2^7 - 65*T1^12*T2^7 - T1^2*T2^8 + 
     26*T1^4*T2^8 - 41*T1^5*T2^8 - 25*T1^6*T2^8 + 39*T1^7*T2^8 + 
     23*T1^8*T2^8 - 57*T1^9*T2^8 + 66*T1^10*T2^8 - 80*T1^11*T2^8 + 
     47*T1^12*T2^8 - T1^3*T2^9 - 48*T1^4*T2^9 + 20*T1^5*T2^9 + 68*T1^6*T2^9 - 
     63*T1^7*T2^9 - 57*T1^8*T2^9 + 2*T1^9*T2^9 + 74*T1^10*T2^9 - 
     48*T1^11*T2^9 - 13*T1^12*T2^9 + 23*T1^4*T2^10 + 60*T1^5*T2^10 - 
     118*T1^6*T2^10 + 38*T1^7*T2^10 + 66*T1^8*T2^10 + 74*T1^9*T2^10 - 
     106*T1^10*T2^10 + 12*T1^11*T2^10 + 47*T1^12*T2^10 - 49*T1^5*T2^11 + 
     26*T1^6*T2^11 + 68*T1^7*T2^11 - 80*T1^8*T2^11 - 48*T1^9*T2^11 + 
     12*T1^10*T2^11 + 74*T1^11*T2^11 - 65*T1^12*T2^11 + 33*T1^6*T2^12 - 
     65*T1^7*T2^12 + 47*T1^8*T2^12 - 13*T1^9*T2^12 + 47*T1^10*T2^12 - 
     65*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 196] -> 
  {-((2 - 6*T + 7*T^2 - 7*T^3 + 7*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-39 + 116*T1 - 134*T1^2 + 133*T1^3 - 134*T1^4 + 116*T1^5 - 39*T1^6 + 
      116*T2 - 252*T1*T2 + 124*T1^2*T2 - 80*T1^3*T2 + 88*T1^4*T2 - 
      32*T1^5*T2 - 156*T1^6*T2 + 92*T1^7*T2 - 134*T2^2 + 124*T1*T2^2 + 
      273*T1^2*T2^2 - 255*T1^3*T2^2 + 207*T1^4*T2^2 - 283*T1^5*T2^2 + 
      413*T1^6*T2^2 - 44*T1^7*T2^2 - 78*T1^8*T2^2 + 133*T2^3 - 80*T1*T2^3 - 
      255*T1^2*T2^3 + 28*T1^3*T2^3 + 23*T1^4*T2^3 + 65*T1^5*T2^3 - 
      140*T1^6*T2^3 - 213*T1^7*T2^3 + 88*T1^8*T2^3 + 49*T1^9*T2^3 - 
      134*T2^4 + 88*T1*T2^4 + 207*T1^2*T2^4 + 23*T1^3*T2^4 - 20*T1^4*T2^4 - 
      84*T1^5*T2^4 + 176*T1^6*T2^4 + 51*T1^7*T2^4 + 95*T1^8*T2^4 - 
      80*T1^9*T2^4 - 22*T1^10*T2^4 + 116*T2^5 - 32*T1*T2^5 - 283*T1^2*T2^5 + 
      65*T1^3*T2^5 - 84*T1^4*T2^5 + 225*T1^5*T2^5 - 247*T1^6*T2^5 - 
      7*T1^7*T2^5 - 5*T1^8*T2^5 - 45*T1^9*T2^5 + 76*T1^10*T2^5 - 
      4*T1^11*T2^5 - 39*T2^6 - 156*T1*T2^6 + 413*T1^2*T2^6 - 140*T1^3*T2^6 + 
      176*T1^4*T2^6 - 247*T1^5*T2^6 + 24*T1^6*T2^6 + 231*T1^7*T2^6 - 
      174*T1^8*T2^6 + 112*T1^9*T2^6 - 87*T1^10*T2^6 - 12*T1^11*T2^6 + 
      9*T1^12*T2^6 + 92*T1*T2^7 - 44*T1^2*T2^7 - 213*T1^3*T2^7 + 
      51*T1^4*T2^7 - 7*T1^5*T2^7 + 231*T1^6*T2^7 - 241*T1^7*T2^7 + 
      70*T1^8*T2^7 - 19*T1^9*T2^7 + 25*T1^10*T2^7 + 64*T1^11*T2^7 - 
      28*T1^12*T2^7 - 78*T1^2*T2^8 + 88*T1^3*T2^8 + 95*T1^4*T2^8 - 
      5*T1^5*T2^8 - 174*T1^6*T2^8 + 70*T1^7*T2^8 + 22*T1^8*T2^8 + 
      23*T1^9*T2^8 - 17*T1^10*T2^8 - 80*T1^11*T2^8 + 34*T1^12*T2^8 + 
      49*T1^3*T2^9 - 80*T1^4*T2^9 - 45*T1^5*T2^9 + 112*T1^6*T2^9 - 
      19*T1^7*T2^9 + 23*T1^8*T2^9 - 56*T1^9*T2^9 - 3*T1^10*T2^9 + 
      88*T1^11*T2^9 - 35*T1^12*T2^9 - 22*T1^4*T2^10 + 76*T1^5*T2^10 - 
      87*T1^6*T2^10 + 25*T1^7*T2^10 - 17*T1^8*T2^10 - 3*T1^9*T2^10 + 
      53*T1^10*T2^10 - 92*T1^11*T2^10 + 34*T1^12*T2^10 - 4*T1^5*T2^11 - 
      12*T1^6*T2^11 + 64*T1^7*T2^11 - 80*T1^8*T2^11 + 88*T1^9*T2^11 - 
      92*T1^10*T2^11 + 84*T1^11*T2^11 - 28*T1^12*T2^11 + 9*T1^6*T2^12 - 
      28*T1^7*T2^12 + 34*T1^8*T2^12 - 35*T1^9*T2^12 + 34*T1^10*T2^12 - 
      28*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 197] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 164*T1 - 410*T1^2 + 541*T1^3 - 410*T1^4 + 164*T1^5 - 33*T1^6 + 
     164*T2 - 692*T1*T2 + 1424*T1^2*T2 - 1152*T1^3*T2 + 8*T1^4*T2 + 
     724*T1^5*T2 - 452*T1^6*T2 + 124*T1^7*T2 - 410*T2^2 + 1424*T1*T2^2 - 
     2239*T1^2*T2^2 + 85*T1^3*T2^2 + 2449*T1^4*T2^2 - 2215*T1^5*T2^2 + 
     61*T1^6*T2^2 + 424*T1^7*T2^2 - 210*T1^8*T2^2 + 541*T2^3 - 1152*T1*T2^3 + 
     85*T1^2*T2^3 + 5296*T1^3*T2^3 - 6389*T1^4*T2^3 + 1181*T1^5*T2^3 + 
     3476*T1^6*T2^3 - 1865*T1^7*T2^3 + 328*T1^8*T2^3 + 145*T1^9*T2^3 - 
     410*T2^4 + 8*T1*T2^4 + 2449*T1^2*T2^4 - 6389*T1^3*T2^4 - 402*T1^4*T2^4 + 
     10516*T1^5*T2^4 - 10982*T1^6*T2^4 + 2191*T1^7*T2^4 + 849*T1^8*T2^4 - 
     672*T1^9*T2^4 - 10*T1^10*T2^4 + 164*T2^5 + 724*T1*T2^5 - 
     2215*T1^2*T2^5 + 1181*T1^3*T2^5 + 10516*T1^4*T2^5 - 16085*T1^5*T2^5 + 
     6715*T1^6*T2^5 + 5391*T1^7*T2^5 - 4369*T1^8*T2^5 + 1135*T1^9*T2^5 + 
     224*T1^10*T2^5 - 36*T1^11*T2^5 - 33*T2^6 - 452*T1*T2^6 + 61*T1^2*T2^6 + 
     3476*T1^3*T2^6 - 10982*T1^4*T2^6 + 6715*T1^5*T2^6 + 7068*T1^6*T2^6 - 
     13075*T1^7*T2^6 + 5168*T1^8*T2^6 + 184*T1^9*T2^6 - 839*T1^10*T2^6 + 
     108*T1^11*T2^6 + 15*T1^12*T2^6 + 124*T1*T2^7 + 424*T1^2*T2^7 - 
     1865*T1^3*T2^7 + 2191*T1^4*T2^7 + 5391*T1^5*T2^7 - 13075*T1^6*T2^7 + 
     9725*T1^7*T2^7 + 266*T1^8*T2^7 - 3359*T1^9*T2^7 + 1485*T1^10*T2^7 - 
     76*T1^11*T2^7 - 76*T1^12*T2^7 - 210*T1^2*T2^8 + 328*T1^3*T2^8 + 
     849*T1^4*T2^8 - 4369*T1^5*T2^8 + 5168*T1^6*T2^8 + 266*T1^7*T2^8 - 
     5412*T1^8*T2^8 + 4211*T1^9*T2^8 - 751*T1^10*T2^8 - 352*T1^11*T2^8 + 
     190*T1^12*T2^8 + 145*T1^3*T2^9 - 672*T1^4*T2^9 + 1135*T1^5*T2^9 + 
     184*T1^6*T2^9 - 3359*T1^7*T2^9 + 4211*T1^8*T2^9 - 1636*T1^9*T2^9 - 
     815*T1^10*T2^9 + 808*T1^11*T2^9 - 251*T1^12*T2^9 - 10*T1^4*T2^10 + 
     224*T1^5*T2^10 - 839*T1^6*T2^10 + 1485*T1^7*T2^10 - 751*T1^8*T2^10 - 
     815*T1^9*T2^10 + 1461*T1^10*T2^10 - 776*T1^11*T2^10 + 190*T1^12*T2^10 - 
     36*T1^5*T2^11 + 108*T1^6*T2^11 - 76*T1^7*T2^11 - 352*T1^8*T2^11 + 
     808*T1^9*T2^11 - 776*T1^10*T2^11 + 348*T1^11*T2^11 - 76*T1^12*T2^11 + 
     15*T1^6*T2^12 - 76*T1^7*T2^12 + 190*T1^8*T2^12 - 251*T1^9*T2^12 + 
     190*T1^10*T2^12 - 76*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 198] -> 
  {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 24*T1^2 + 20*T1^3 - 24*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 48*T1^2*T2 - 8*T1^3*T2 + 36*T1^4*T2 + 8*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 24*T2^2 + 48*T1*T2^2 + 36*T1^2*T2^2 - 
     121*T1^3*T2^2 + 30*T1^4*T2^2 - 133*T1^5*T2^2 + 96*T1^6*T2^2 - 
     12*T1^8*T2^2 + 20*T2^3 - 8*T1*T2^3 - 121*T1^2*T2^3 + 153*T1^3*T2^3 + 
     8*T1^4*T2^3 + 122*T1^5*T2^3 + 3*T1^6*T2^3 - 91*T1^7*T2^3 + 
     28*T1^8*T2^3 + 5*T1^9*T2^3 - 24*T2^4 + 36*T1*T2^4 + 30*T1^2*T2^4 + 
     8*T1^3*T2^4 - 185*T1^4*T2^4 + 71*T1^5*T2^4 - 105*T1^6*T2^4 + 
     88*T1^7*T2^4 + 14*T1^8*T2^4 - 20*T1^9*T2^4 + 16*T2^5 + 8*T1*T2^5 - 
     133*T1^2*T2^5 + 122*T1^3*T2^5 + 71*T1^4*T2^5 + 74*T1^5*T2^5 - 
     216*T1^6*T2^5 + 83*T1^7*T2^5 - 60*T1^8*T2^5 + 5*T1^9*T2^5 + 
     16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 96*T1^2*T2^6 + 
     3*T1^3*T2^6 - 105*T1^4*T2^6 - 216*T1^5*T2^6 + 372*T1^6*T2^6 + 
     8*T1^7*T2^6 - 29*T1^8*T2^6 + 69*T1^9*T2^6 - 52*T1^10*T2^6 + 
     8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 - 91*T1^3*T2^7 + 88*T1^4*T2^7 + 
     83*T1^5*T2^7 + 8*T1^6*T2^7 - 282*T1^7*T2^7 + 95*T1^8*T2^7 - 
     94*T1^9*T2^7 + 47*T1^10*T2^7 + 8*T1^11*T2^7 - 8*T1^12*T2^7 - 
     12*T1^2*T2^8 + 28*T1^3*T2^8 + 14*T1^4*T2^8 - 60*T1^5*T2^8 - 
     29*T1^6*T2^8 + 95*T1^7*T2^8 + 51*T1^8*T2^8 + 20*T1^9*T2^8 - 
     2*T1^10*T2^8 - 28*T1^11*T2^8 + 12*T1^12*T2^8 + 5*T1^3*T2^9 - 
     20*T1^4*T2^9 + 5*T1^5*T2^9 + 69*T1^6*T2^9 - 94*T1^7*T2^9 + 
     20*T1^8*T2^9 - 81*T1^9*T2^9 + 35*T1^10*T2^9 + 16*T1^11*T2^9 - 
     10*T1^12*T2^9 + 16*T1^5*T2^10 - 52*T1^6*T2^10 + 47*T1^7*T2^10 - 
     2*T1^8*T2^10 + 35*T1^9*T2^10 + 8*T1^10*T2^10 - 32*T1^11*T2^10 + 
     12*T1^12*T2^10 - 4*T1^5*T2^11 + 8*T1^6*T2^11 + 8*T1^7*T2^11 - 
     28*T1^8*T2^11 + 16*T1^9*T2^11 - 32*T1^10*T2^11 + 28*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 12*T1^8*T2^12 - 
     10*T1^9*T2^12 + 12*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 199] -> 
  {(1 - T + 2*T^2 - 3*T^3 + 2*T^4 - T^5 + T^6)/T^3, 
   (-2 + 2*T1 - 4*T1^2 + 6*T1^3 - 4*T1^4 + 2*T1^5 - 2*T1^6 + 2*T2 + T1*T2 + 
     2*T1^2*T2 - 4*T1^3*T2 + T1^4*T2 - T1^5*T2 + 3*T1^6*T2 + T1^7*T2 - 
     4*T2^2 + 2*T1*T2^2 - 3*T1^2*T2^2 + 2*T1^3*T2^2 + 5*T1^4*T2^2 - 
     6*T1^5*T2^2 + T1^6*T2^2 - 2*T1^7*T2^2 + 6*T2^3 - 4*T1*T2^3 + 
     2*T1^2*T2^3 - 11*T1^3*T2^3 + 7*T1^4*T2^3 - 10*T1^5*T2^3 + 19*T1^6*T2^3 - 
     12*T1^7*T2^3 + 3*T1^8*T2^3 - 3*T1^9*T2^3 - 4*T2^4 + T1*T2^4 + 
     5*T1^2*T2^4 + 7*T1^3*T2^4 + 6*T1^4*T2^4 - 6*T1^5*T2^4 + 2*T1^6*T2^4 - 
     11*T1^7*T2^4 + 15*T1^8*T2^4 - T1^9*T2^4 + 4*T1^10*T2^4 + 2*T2^5 - 
     T1*T2^5 - 6*T1^2*T2^5 - 10*T1^3*T2^5 - 6*T1^4*T2^5 - 7*T1^5*T2^5 + 
     15*T1^6*T2^5 - 10*T1^7*T2^5 + 5*T1^8*T2^5 - 16*T1^9*T2^5 - 
     2*T1^10*T2^5 - 3*T1^11*T2^5 - 2*T2^6 + 3*T1*T2^6 + T1^2*T2^6 + 
     19*T1^3*T2^6 + 2*T1^4*T2^6 + 15*T1^5*T2^6 - 12*T1^6*T2^6 - 3*T1^7*T2^6 + 
     10*T1^8*T2^6 + T1^9*T2^6 + 17*T1^10*T2^6 + T1^11*T2^6 + 4*T1^12*T2^6 + 
     T1*T2^7 - 2*T1^2*T2^7 - 12*T1^3*T2^7 - 11*T1^4*T2^7 - 10*T1^5*T2^7 - 
     3*T1^6*T2^7 + 19*T1^7*T2^7 - 14*T1^8*T2^7 + 4*T1^9*T2^7 - 
     22*T1^10*T2^7 - 3*T1^11*T2^7 - 4*T1^12*T2^7 + 3*T1^3*T2^8 + 
     15*T1^4*T2^8 + 5*T1^5*T2^8 + 10*T1^6*T2^8 - 14*T1^7*T2^8 + 6*T1^8*T2^8 - 
     13*T1^9*T2^8 + 25*T1^10*T2^8 + T1^11*T2^8 + 8*T1^12*T2^8 - 3*T1^3*T2^9 - 
     T1^4*T2^9 - 16*T1^5*T2^9 + T1^6*T2^9 + 4*T1^7*T2^9 - 13*T1^8*T2^9 + 
     31*T1^9*T2^9 - 30*T1^10*T2^9 + 6*T1^11*T2^9 - 12*T1^12*T2^9 + 
     4*T1^4*T2^10 - 2*T1^5*T2^10 + 17*T1^6*T2^10 - 22*T1^7*T2^10 + 
     25*T1^8*T2^10 - 30*T1^9*T2^10 + 21*T1^10*T2^10 - 6*T1^11*T2^10 + 
     8*T1^12*T2^10 - 3*T1^5*T2^11 + T1^6*T2^11 - 3*T1^7*T2^11 + T1^8*T2^11 + 
     6*T1^9*T2^11 - 6*T1^10*T2^11 + 3*T1^11*T2^11 - 4*T1^12*T2^11 + 
     4*T1^6*T2^12 - 4*T1^7*T2^12 + 8*T1^8*T2^12 - 12*T1^9*T2^12 + 
     8*T1^10*T2^12 - 4*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 200] -> 
  {(2 - 2*T + T^2 - 2*T^3 + 2*T^4)/T^2, 
   (-15 + 15*T1 - 7*T1^2 + 15*T1^3 - 15*T1^4 + 15*T2 + 8*T1*T2 - 12*T1^2*T2 - 
     24*T1^3*T2 + 24*T1^4*T2 + 7*T1^5*T2 - 7*T2^2 - 12*T1*T2^2 + 
     31*T1^2*T2^2 - 27*T1^3*T2^2 + 27*T1^4*T2^2 - 20*T1^5*T2^2 + T1^6*T2^2 + 
     15*T2^3 - 24*T1*T2^3 - 27*T1^2*T2^3 - 2*T1^3*T2^3 + 40*T1^4*T2^3 - 
     31*T1^5*T2^3 - 4*T1^6*T2^3 - 9*T1^7*T2^3 - 15*T2^4 + 24*T1*T2^4 + 
     27*T1^2*T2^4 + 40*T1^3*T2^4 - 48*T1^4*T2^4 + 27*T1^6*T2^4 + 
     8*T1^7*T2^4 + 17*T1^8*T2^4 + 7*T1*T2^5 - 20*T1^2*T2^5 - 31*T1^3*T2^5 + 
     42*T1^5*T2^5 - 35*T1^6*T2^5 - 17*T1^8*T2^5 + T1^2*T2^6 - 4*T1^3*T2^6 + 
     27*T1^4*T2^6 - 35*T1^5*T2^6 + 23*T1^6*T2^6 - 12*T1^7*T2^6 + 
     9*T1^8*T2^6 - 9*T1^3*T2^7 + 8*T1^4*T2^7 - 12*T1^6*T2^7 + 24*T1^7*T2^7 - 
     17*T1^8*T2^7 + 17*T1^4*T2^8 - 17*T1^5*T2^8 + 9*T1^6*T2^8 - 
     17*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 201] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 596*T1 - 1051*T1^2 + 1234*T1^3 - 1051*T1^4 + 596*T1^5 - 
      138*T1^6 + 596*T2 - 2097*T1*T2 + 2477*T1^2*T2 - 1689*T1^3*T2 + 
      261*T1^4*T2 + 1073*T1^5*T2 - 1473*T1^6*T2 + 479*T1^7*T2 - 1051*T2^2 + 
      2477*T1*T2^2 + 263*T1^2*T2^2 - 3626*T1^3*T2^2 + 5701*T1^4*T2^2 - 
      5558*T1^5*T2^2 + 3023*T1^6*T2^2 + 683*T1^7*T2^2 - 637*T1^8*T2^2 + 
      1234*T2^3 - 1689*T1*T2^3 - 3626*T1^2*T2^3 + 5710*T1^3*T2^3 - 
      4682*T1^4*T2^3 + 1520*T1^5*T2^3 + 2236*T1^6*T2^3 - 4431*T1^7*T2^3 + 
      573*T1^8*T2^3 + 505*T1^9*T2^3 - 1051*T2^4 + 261*T1*T2^4 + 
      5701*T1^2*T2^4 - 4682*T1^3*T2^4 + 1406*T1^4*T2^4 + 1732*T1^5*T2^4 - 
      2902*T1^6*T2^4 + 1906*T1^7*T2^4 + 2923*T1^8*T2^4 - 1221*T1^9*T2^4 - 
      223*T1^10*T2^4 + 596*T2^5 + 1073*T1*T2^5 - 5558*T1^2*T2^5 + 
      1520*T1^3*T2^5 + 1732*T1^4*T2^5 - 1993*T1^5*T2^5 - 115*T1^6*T2^5 + 
      1801*T1^7*T2^5 - 3910*T1^8*T2^5 - 245*T1^9*T2^5 + 917*T1^10*T2^5 + 
      11*T1^11*T2^5 - 138*T2^6 - 1473*T1*T2^6 + 3023*T1^2*T2^6 + 
      2236*T1^3*T2^6 - 2902*T1^4*T2^6 - 115*T1^5*T2^6 + 2604*T1^6*T2^6 - 
      2109*T1^7*T2^6 + 1248*T1^8*T2^6 + 2572*T1^9*T2^6 - 1349*T1^10*T2^6 - 
      147*T1^11*T2^6 + 24*T1^12*T2^6 + 479*T1*T2^7 + 683*T1^2*T2^7 - 
      4431*T1^3*T2^7 + 1906*T1^4*T2^7 + 1801*T1^5*T2^7 - 2109*T1^6*T2^7 - 
      231*T1^7*T2^7 + 1870*T1^8*T2^7 - 3524*T1^9*T2^7 + 882*T1^10*T2^7 + 
      527*T1^11*T2^7 - 106*T1^12*T2^7 - 637*T1^2*T2^8 + 573*T1^3*T2^8 + 
      2923*T1^4*T2^8 - 3910*T1^5*T2^8 + 1248*T1^6*T2^8 + 1870*T1^7*T2^8 - 
      3060*T1^8*T2^8 + 2678*T1^9*T2^8 + 145*T1^10*T2^8 - 909*T1^11*T2^8 + 
      191*T1^12*T2^8 + 505*T1^3*T2^9 - 1221*T1^4*T2^9 - 245*T1^5*T2^9 + 
      2572*T1^6*T2^9 - 3524*T1^7*T2^9 + 2678*T1^8*T2^9 - 902*T1^9*T2^9 - 
      1050*T1^10*T2^9 + 1041*T1^11*T2^9 - 224*T1^12*T2^9 - 223*T1^4*T2^10 + 
      917*T1^5*T2^10 - 1349*T1^6*T2^10 + 882*T1^7*T2^10 + 145*T1^8*T2^10 - 
      1050*T1^9*T2^10 + 1411*T1^10*T2^10 - 877*T1^11*T2^10 + 
      191*T1^12*T2^10 + 11*T1^5*T2^11 - 147*T1^6*T2^11 + 527*T1^7*T2^11 - 
      909*T1^8*T2^11 + 1041*T1^9*T2^11 - 877*T1^10*T2^11 + 477*T1^11*T2^11 - 
      106*T1^12*T2^11 + 24*T1^6*T2^12 - 106*T1^7*T2^12 + 191*T1^8*T2^12 - 
      224*T1^9*T2^12 + 191*T1^10*T2^12 - 106*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 202] -> 
  {(3 - 13*T + 31*T^2 - 41*T^3 + 31*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-51 + 223*T1 - 532*T1^2 + 705*T1^3 - 532*T1^4 + 223*T1^5 - 51*T1^6 + 
     223*T2 - 867*T1*T2 + 1855*T1^2*T2 - 1963*T1^3*T2 + 845*T1^4*T2 + 
     139*T1^5*T2 - 243*T1^6*T2 + 106*T1^7*T2 - 532*T2^2 + 1855*T1*T2^2 - 
     3508*T1^2*T2^2 + 2495*T1^3*T2^2 + 966*T1^4*T2^2 - 2713*T1^5*T2^2 + 
     1700*T1^6*T2^2 - 563*T1^7*T2^2 + 26*T1^8*T2^2 + 705*T2^3 - 
     1963*T1*T2^3 + 2495*T1^2*T2^3 + 1624*T1^3*T2^3 - 7073*T1^4*T2^3 + 
     5707*T1^5*T2^3 + 128*T1^6*T2^3 - 2496*T1^7*T2^3 + 1625*T1^8*T2^3 - 
     402*T1^9*T2^3 - 532*T2^4 + 845*T1*T2^4 + 966*T1^2*T2^4 - 
     7073*T1^3*T2^4 + 10133*T1^4*T2^4 - 737*T1^5*T2^4 - 9299*T1^6*T2^4 + 
     7523*T1^7*T2^4 - 1360*T1^8*T2^4 - 793*T1^9*T2^4 + 584*T1^10*T2^4 + 
     223*T2^5 + 139*T1*T2^5 - 2713*T1^2*T2^5 + 5707*T1^3*T2^5 - 
     737*T1^4*T2^5 - 17467*T1^5*T2^5 + 23969*T1^6*T2^5 - 9510*T1^7*T2^5 - 
     3441*T1^8*T2^5 + 3146*T1^9*T2^5 - 953*T1^10*T2^5 - 362*T1^11*T2^5 - 
     51*T2^6 - 243*T1*T2^6 + 1700*T1^2*T2^6 + 128*T1^3*T2^6 - 
     9299*T1^4*T2^6 + 23969*T1^5*T2^6 - 14244*T1^6*T2^6 - 11621*T1^7*T2^6 + 
     18475*T1^8*T2^6 - 6116*T1^9*T2^6 + 352*T1^10*T2^6 + 1083*T1^11*T2^6 + 
     111*T1^12*T2^6 + 106*T1*T2^7 - 563*T1^2*T2^7 - 2496*T1^3*T2^7 + 
     7523*T1^4*T2^7 - 9510*T1^5*T2^7 - 11621*T1^6*T2^7 + 29815*T1^7*T2^7 - 
     18283*T1^8*T2^7 - 1625*T1^9*T2^7 + 3363*T1^10*T2^7 - 1655*T1^11*T2^7 - 
     479*T1^12*T2^7 + 26*T1^2*T2^8 + 1625*T1^3*T2^8 - 1360*T1^4*T2^8 - 
     3441*T1^5*T2^8 + 18475*T1^6*T2^8 - 18283*T1^7*T2^8 - 957*T1^8*T2^8 + 
     11155*T1^9*T2^8 - 3686*T1^10*T2^8 - 13*T1^11*T2^8 + 1142*T1^12*T2^8 - 
     402*T1^3*T2^9 - 793*T1^4*T2^9 + 3146*T1^5*T2^9 - 6116*T1^6*T2^9 - 
     1625*T1^7*T2^9 + 11155*T1^8*T2^9 - 7612*T1^9*T2^9 - 1845*T1^10*T2^9 + 
     2795*T1^11*T2^9 - 1509*T1^12*T2^9 + 584*T1^4*T2^10 - 953*T1^5*T2^10 + 
     352*T1^6*T2^10 + 3363*T1^7*T2^10 - 3686*T1^8*T2^10 - 1845*T1^9*T2^10 + 
     5560*T1^10*T2^10 - 3371*T1^11*T2^10 + 1142*T1^12*T2^10 - 
     362*T1^5*T2^11 + 1083*T1^6*T2^11 - 1655*T1^7*T2^11 - 13*T1^8*T2^11 + 
     2795*T1^9*T2^11 - 3371*T1^10*T2^11 + 1707*T1^11*T2^11 - 
     479*T1^12*T2^11 + 111*T1^6*T2^12 - 479*T1^7*T2^12 + 1142*T1^8*T2^12 - 
     1509*T1^9*T2^12 + 1142*T1^10*T2^12 - 479*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 203] -> 
  {(3 - 5*T + T^2 + 3*T^3 + T^4 - 5*T^5 + 3*T^6)/T^3, 
   -((165 - 271*T1 + 46*T1^2 + 177*T1^3 + 46*T1^4 - 271*T1^5 + 165*T1^6 - 
      271*T2 + 217*T1*T2 + 301*T1^2*T2 - 355*T1^3*T2 - 325*T1^4*T2 + 
      391*T1^5*T2 + 97*T1^6*T2 - 226*T1^7*T2 + 46*T2^2 + 301*T1*T2^2 - 
      576*T1^2*T2^2 + 100*T1^3*T2^2 + 434*T1^4*T2^2 + 52*T1^5*T2^2 - 
      564*T1^6*T2^2 + 331*T1^7*T2^2 + 28*T1^8*T2^2 + 177*T2^3 - 355*T1*T2^3 + 
      100*T1^2*T2^3 + 348*T1^3*T2^3 - 183*T1^4*T2^3 - 335*T1^5*T2^3 + 
      378*T1^6*T2^3 + 33*T1^7*T2^3 - 205*T1^8*T2^3 + 96*T1^9*T2^3 + 46*T2^4 - 
      325*T1*T2^4 + 434*T1^2*T2^4 - 183*T1^3*T2^4 - 76*T1^4*T2^4 - 
      46*T1^5*T2^4 + 188*T1^6*T2^4 - 279*T1^7*T2^4 + 272*T1^8*T2^4 - 
      175*T1^9*T2^4 + 10*T1^10*T2^4 - 271*T2^5 + 391*T1*T2^5 + 52*T1^2*T2^5 - 
      335*T1^3*T2^5 - 46*T1^4*T2^5 + 347*T1^5*T2^5 - 169*T1^6*T2^5 + 
      11*T1^7*T2^5 - 71*T1^8*T2^5 + 43*T1^9*T2^5 + 61*T1^10*T2^5 - 
      46*T1^11*T2^5 + 165*T2^6 + 97*T1*T2^6 - 564*T1^2*T2^6 + 378*T1^3*T2^6 + 
      188*T1^4*T2^6 - 169*T1^5*T2^6 - 168*T1^6*T2^6 + 285*T1^7*T2^6 - 
      162*T1^8*T2^6 + 126*T1^9*T2^6 - 124*T1^10*T2^6 + 67*T1^11*T2^6 + 
      3*T1^12*T2^6 - 226*T1*T2^7 + 331*T1^2*T2^7 + 33*T1^3*T2^7 - 
      279*T1^4*T2^7 + 11*T1^5*T2^7 + 285*T1^6*T2^7 - 231*T1^7*T2^7 + 
      68*T1^8*T2^7 - 15*T1^9*T2^7 + 24*T1^10*T2^7 + T1^11*T2^7 - T1^12*T2^7 + 
      28*T1^2*T2^8 - 205*T1^3*T2^8 + 272*T1^4*T2^8 - 71*T1^5*T2^8 - 
      162*T1^6*T2^8 + 68*T1^7*T2^8 + 102*T1^8*T2^8 - 167*T1^9*T2^8 + 
      110*T1^10*T2^8 - 55*T1^11*T2^8 - 8*T1^12*T2^8 + 96*T1^3*T2^9 - 
      175*T1^4*T2^9 + 43*T1^5*T2^9 + 126*T1^6*T2^9 - 15*T1^7*T2^9 - 
      167*T1^8*T2^9 + 156*T1^9*T2^9 - 24*T1^10*T2^9 - 25*T1^11*T2^9 + 
      15*T1^12*T2^9 + 10*T1^4*T2^10 + 61*T1^5*T2^10 - 124*T1^6*T2^10 + 
      24*T1^7*T2^10 + 110*T1^8*T2^10 - 24*T1^9*T2^10 - 112*T1^10*T2^10 + 
      91*T1^11*T2^10 - 8*T1^12*T2^10 - 46*T1^5*T2^11 + 67*T1^6*T2^11 + 
      T1^7*T2^11 - 55*T1^8*T2^11 - 25*T1^9*T2^11 + 91*T1^10*T2^11 - 
      53*T1^11*T2^11 - T1^12*T2^11 + 3*T1^6*T2^12 - T1^7*T2^12 - 
      8*T1^8*T2^12 + 15*T1^9*T2^12 - 8*T1^10*T2^12 - T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 204] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 13*T^2 - 8*T^3 + T^4))/T^3), 
   -((-5 + 45*T1 - 110*T1^2 + 145*T1^3 - 110*T1^4 + 45*T1^5 - 5*T1^6 + 
      45*T2 - 369*T1*T2 + 666*T1^2*T2 - 513*T1^3*T2 - 54*T1^4*T2 + 
      387*T1^5*T2 - 279*T1^6*T2 + 36*T1^7*T2 - 110*T2^2 + 666*T1*T2^2 + 
      352*T1^2*T2^2 - 3109*T1^3*T2^2 + 5200*T1^4*T2^2 - 3989*T1^5*T2^2 + 
      1276*T1^6*T2^2 + 270*T1^7*T2^2 - 66*T1^8*T2^2 + 145*T2^3 - 
      513*T1*T2^3 - 3109*T1^2*T2^3 + 7499*T1^3*T2^3 - 6991*T1^4*T2^3 + 
      410*T1^5*T2^3 + 3971*T1^6*T2^3 - 3043*T1^7*T2^3 + 72*T1^8*T2^3 + 
      58*T1^9*T2^3 - 110*T2^4 - 54*T1*T2^4 + 5200*T1^2*T2^4 - 
      6991*T1^3*T2^4 + 732*T1^4*T2^4 + 8404*T1^5*T2^4 - 7860*T1^6*T2^4 + 
      1419*T1^7*T2^4 + 2438*T1^8*T2^4 - 324*T1^9*T2^4 - 22*T1^10*T2^4 + 
      45*T2^5 + 387*T1*T2^5 - 3989*T1^2*T2^5 + 410*T1^3*T2^5 + 
      8404*T1^4*T2^5 - 11913*T1^5*T2^5 + 2661*T1^6*T2^5 + 5456*T1^7*T2^5 - 
      4973*T1^8*T2^5 - 271*T1^9*T2^5 + 198*T1^10*T2^5 - 5*T2^6 - 
      279*T1*T2^6 + 1276*T1^2*T2^6 + 3971*T1^3*T2^6 - 7860*T1^4*T2^6 + 
      2661*T1^5*T2^6 + 8460*T1^6*T2^6 - 9949*T1^7*T2^6 + 3204*T1^8*T2^6 + 
      2213*T1^9*T2^6 - 540*T1^10*T2^6 - 9*T1^11*T2^6 + T1^12*T2^6 + 
      36*T1*T2^7 + 270*T1^2*T2^7 - 3043*T1^3*T2^7 + 1419*T1^4*T2^7 + 
      5456*T1^5*T2^7 - 9949*T1^6*T2^7 + 4625*T1^7*T2^7 + 2508*T1^8*T2^7 - 
      3964*T1^9*T2^7 + 675*T1^10*T2^7 + 81*T1^11*T2^7 - 9*T1^12*T2^7 - 
      66*T1^2*T2^8 + 72*T1^3*T2^8 + 2438*T1^4*T2^8 - 4973*T1^5*T2^8 + 
      3204*T1^6*T2^8 + 2508*T1^7*T2^8 - 5388*T1^8*T2^8 + 3437*T1^9*T2^8 - 
      324*T1^10*T2^8 - 198*T1^11*T2^8 + 22*T1^12*T2^8 + 58*T1^3*T2^9 - 
      324*T1^4*T2^9 - 271*T1^5*T2^9 + 2213*T1^6*T2^9 - 3964*T1^7*T2^9 + 
      3437*T1^8*T2^9 - 1315*T1^9*T2^9 - 205*T1^10*T2^9 + 261*T1^11*T2^9 - 
      29*T1^12*T2^9 - 22*T1^4*T2^10 + 198*T1^5*T2^10 - 540*T1^6*T2^10 + 
      675*T1^7*T2^10 - 324*T1^8*T2^10 - 205*T1^9*T2^10 + 384*T1^10*T2^10 - 
      198*T1^11*T2^10 + 22*T1^12*T2^10 - 9*T1^6*T2^11 + 81*T1^7*T2^11 - 
      198*T1^8*T2^11 + 261*T1^9*T2^11 - 198*T1^10*T2^11 + 81*T1^11*T2^11 - 
      9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 22*T1^8*T2^12 - 
      29*T1^9*T2^12 + 22*T1^10*T2^12 - 9*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 205] -> 
  {(1 - 5*T + 11*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 84*T1^3 - 90*T1^4 + 84*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 145*T1^3*T2 + 100*T1^4*T2 - 
     45*T1^5*T2 - 20*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 235*T1^3*T2^2 + 287*T1^4*T2^2 - 
     346*T1^5*T2^2 + 375*T1^6*T2^2 - 433*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 84*T2^3 - 145*T1*T2^3 - 235*T1^2*T2^3 + 
     805*T1^3*T2^3 - 415*T1^4*T2^3 + 336*T1^5*T2^3 - 209*T1^6*T2^3 + 
     120*T1^7*T2^3 + 555*T1^8*T2^3 - 367*T1^9*T2^3 + 10*T1^10*T2^3 + 
     42*T1^11*T2^3 - 90*T2^4 + 100*T1*T2^4 + 287*T1^2*T2^4 - 415*T1^3*T2^4 - 
     682*T1^4*T2^4 + 646*T1^5*T2^4 - 722*T1^6*T2^4 + 666*T1^7*T2^4 - 
     1102*T1^8*T2^4 + 145*T1^9*T2^4 + 247*T1^10*T2^4 - 60*T1^11*T2^4 - 
     30*T1^12*T2^4 + 84*T2^5 - 45*T1*T2^5 - 346*T1^2*T2^5 + 336*T1^3*T2^5 + 
     646*T1^4*T2^5 - 19*T1^5*T2^5 + 10*T1^6*T2^5 + 49*T1^7*T2^5 + 
     381*T1^8*T2^5 + 507*T1^9*T2^5 - 235*T1^10*T2^5 - 145*T1^11*T2^5 + 
     80*T1^12*T2^5 + 14*T1^13*T2^5 - 66*T2^6 - 20*T1*T2^6 + 375*T1^2*T2^6 - 
     209*T1^3*T2^6 - 722*T1^4*T2^6 + 10*T1^5*T2^6 - 277*T1^6*T2^6 + 
     423*T1^7*T2^6 - 817*T1^8*T2^6 + 36*T1^9*T2^6 - 352*T1^10*T2^6 + 
     297*T1^11*T2^6 + 31*T1^12*T2^6 - 70*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     433*T1^2*T2^7 + 120*T1^3*T2^7 + 666*T1^4*T2^7 + 49*T1^5*T2^7 + 
     423*T1^6*T2^7 - 628*T1^7*T2^7 + 642*T1^8*T2^7 + 173*T1^9*T2^7 - 
     16*T1^10*T2^7 + 169*T1^11*T2^7 - 315*T1^12*T2^7 + 95*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     555*T1^3*T2^8 - 1102*T1^4*T2^8 + 381*T1^5*T2^8 - 817*T1^6*T2^8 + 
     642*T1^7*T2^8 + 12*T1^8*T2^8 - 686*T1^9*T2^8 + 419*T1^10*T2^8 - 
     337*T1^11*T2^8 + 282*T1^12*T2^8 + 65*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     367*T1^3*T2^9 + 145*T1^4*T2^9 + 507*T1^5*T2^9 + 36*T1^6*T2^9 + 
     173*T1^7*T2^9 - 686*T1^8*T2^9 + 584*T1^9*T2^9 - 77*T1^10*T2^9 - 
     29*T1^11*T2^9 + 10*T1^12*T2^9 - 290*T1^13*T2^9 + 161*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 + 10*T1^3*T2^10 + 
     247*T1^4*T2^10 - 235*T1^5*T2^10 - 352*T1^6*T2^10 - 16*T1^7*T2^10 + 
     419*T1^8*T2^10 - 77*T1^9*T2^10 - 121*T1^10*T2^10 + 10*T1^11*T2^10 + 
     18*T1^12*T2^10 + 271*T1^13*T2^10 - 97*T1^14*T2^10 - 40*T1^15*T2^10 + 
     22*T1^16*T2^10 + 42*T1^3*T2^11 - 60*T1^4*T2^11 - 145*T1^5*T2^11 + 
     297*T1^6*T2^11 + 169*T1^7*T2^11 - 337*T1^8*T2^11 - 29*T1^9*T2^11 + 
     10*T1^10*T2^11 + 63*T1^11*T2^11 + 30*T1^12*T2^11 - 274*T1^13*T2^11 + 
     56*T1^14*T2^11 + 65*T1^15*T2^11 - 28*T1^16*T2^11 - 30*T1^4*T2^12 + 
     80*T1^5*T2^12 + 31*T1^6*T2^12 - 315*T1^7*T2^12 + 282*T1^8*T2^12 + 
     10*T1^9*T2^12 + 18*T1^10*T2^12 + 30*T1^11*T2^12 - 138*T1^12*T2^12 + 
     245*T1^13*T2^12 - 9*T1^14*T2^12 - 80*T1^15*T2^12 + 30*T1^16*T2^12 + 
     14*T1^5*T2^13 - 70*T1^6*T2^13 + 95*T1^7*T2^13 + 65*T1^8*T2^13 - 
     290*T1^9*T2^13 + 271*T1^10*T2^13 - 274*T1^11*T2^13 + 245*T1^12*T2^13 - 
     185*T1^13*T2^13 - 37*T1^14*T2^13 + 85*T1^15*T2^13 - 28*T1^16*T2^13 + 
     25*T1^7*T2^14 - 102*T1^8*T2^14 + 161*T1^9*T2^14 - 97*T1^10*T2^14 + 
     56*T1^11*T2^14 - 9*T1^12*T2^14 - 37*T1^13*T2^14 + 118*T1^14*T2^14 - 
     85*T1^15*T2^14 + 22*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     5*T1^9*T2^15 - 40*T1^10*T2^15 + 65*T1^11*T2^15 - 80*T1^12*T2^15 + 
     85*T1^13*T2^15 - 85*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 22*T1^10*T2^16 - 28*T1^11*T2^16 + 
     30*T1^12*T2^16 - 28*T1^13*T2^16 + 22*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 206] -> 
  {-((1 - 5*T + 13*T^2 - 24*T^3 + 29*T^4 - 24*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 39*T1^2 + 72*T1^3 - 87*T1^4 + 72*T1^5 - 39*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 145*T1^2*T2 - 230*T1^3*T2 + 
      195*T1^4*T2 - 70*T1^5*T2 - 45*T1^6*T2 + 55*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 39*T2^2 + 145*T1*T2^2 - 271*T1^2*T2^2 + 359*T1^3*T2^2 - 
      118*T1^4*T2^2 - 177*T1^5*T2^2 + 298*T1^6*T2^2 - 135*T1^7*T2^2 + 
      41*T1^8*T2^2 + 15*T1^9*T2^2 - 13*T1^10*T2^2 + 72*T2^3 - 230*T1*T2^3 + 
      359*T1^2*T2^3 - 413*T1^3*T2^3 - 107*T1^4*T2^3 + 429*T1^5*T2^3 - 
      352*T1^6*T2^3 - 150*T1^7*T2^3 + 217*T1^8*T2^3 - 187*T1^9*T2^3 + 
      65*T1^10*T2^3 - 87*T2^4 + 195*T1*T2^4 - 118*T1^2*T2^4 - 107*T1^3*T2^4 + 
      1052*T1^4*T2^4 - 1105*T1^5*T2^4 + 450*T1^6*T2^4 + 531*T1^7*T2^4 - 
      260*T1^8*T2^4 - 11*T1^9*T2^4 + 190*T1^10*T2^4 - 145*T1^11*T2^4 + 
      29*T1^12*T2^4 + 72*T2^5 - 70*T1*T2^5 - 177*T1^2*T2^5 + 429*T1^3*T2^5 - 
      1105*T1^4*T2^5 + 91*T1^5*T2^5 + 1107*T1^6*T2^5 - 1494*T1^7*T2^5 - 
      155*T1^8*T2^5 + 674*T1^9*T2^5 - 474*T1^10*T2^5 + 126*T1^11*T2^5 + 
      95*T1^12*T2^5 - 48*T1^13*T2^5 - 39*T2^6 - 45*T1*T2^6 + 298*T1^2*T2^6 - 
      352*T1^3*T2^6 + 450*T1^4*T2^6 + 1107*T1^5*T2^6 - 1478*T1^6*T2^6 + 
      14*T1^7*T2^6 + 2402*T1^8*T2^6 - 1651*T1^9*T2^6 + 240*T1^10*T2^6 + 
      246*T1^11*T2^6 - 334*T1^12*T2^6 + 45*T1^13*T2^6 + 39*T1^14*T2^6 + 
      15*T2^7 + 55*T1*T2^7 - 135*T1^2*T2^7 - 150*T1^3*T2^7 + 531*T1^4*T2^7 - 
      1494*T1^5*T2^7 + 14*T1^6*T2^7 + 3264*T1^7*T2^7 - 4632*T1^8*T2^7 + 
      1612*T1^9*T2^7 + 793*T1^10*T2^7 - 676*T1^11*T2^7 + 449*T1^12*T2^7 + 
      99*T1^13*T2^7 - 95*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      41*T1^2*T2^8 + 217*T1^3*T2^8 - 260*T1^4*T2^8 - 155*T1^5*T2^8 + 
      2402*T1^6*T2^8 - 4632*T1^7*T2^8 + 2148*T1^8*T2^8 + 2716*T1^9*T2^8 - 
      4054*T1^10*T2^8 + 1603*T1^11*T2^8 - 600*T1^12*T2^8 - 253*T1^13*T2^8 + 
      71*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      15*T1^2*T2^9 - 187*T1^3*T2^9 - 11*T1^4*T2^9 + 674*T1^5*T2^9 - 
      1651*T1^6*T2^9 + 1612*T1^7*T2^9 + 2716*T1^8*T2^9 - 5180*T1^9*T2^9 + 
      3210*T1^10*T2^9 + 636*T1^11*T2^9 - 533*T1^12*T2^9 + 588*T1^13*T2^9 + 
      47*T1^14*T2^9 - 135*T1^15*T2^9 - 25*T1^16*T2^9 - 13*T1^2*T2^10 + 
      65*T1^3*T2^10 + 190*T1^4*T2^10 - 474*T1^5*T2^10 + 240*T1^6*T2^10 + 
      793*T1^7*T2^10 - 4054*T1^8*T2^10 + 3210*T1^9*T2^10 - 174*T1^10*T2^10 - 
      1965*T1^11*T2^10 + 30*T1^12*T2^10 + 124*T1^13*T2^10 - 442*T1^14*T2^10 + 
      155*T1^15*T2^10 + 65*T1^16*T2^10 - 145*T1^4*T2^11 + 126*T1^5*T2^11 + 
      246*T1^6*T2^11 - 676*T1^7*T2^11 + 1603*T1^8*T2^11 + 636*T1^9*T2^11 - 
      1965*T1^10*T2^11 + 1357*T1^11*T2^11 + 1103*T1^12*T2^11 - 
      657*T1^13*T2^11 + 429*T1^14*T2^11 + 20*T1^15*T2^11 - 120*T1^16*T2^11 + 
      29*T1^4*T2^12 + 95*T1^5*T2^12 - 334*T1^6*T2^12 + 449*T1^7*T2^12 - 
      600*T1^8*T2^12 - 533*T1^9*T2^12 + 30*T1^10*T2^12 + 1103*T1^11*T2^12 - 
      1912*T1^12*T2^12 + 545*T1^13*T2^12 - 26*T1^14*T2^12 - 245*T1^15*T2^12 + 
      145*T1^16*T2^12 - 48*T1^5*T2^13 + 45*T1^6*T2^13 + 99*T1^7*T2^13 - 
      253*T1^8*T2^13 + 588*T1^9*T2^13 + 124*T1^10*T2^13 - 657*T1^11*T2^13 + 
      545*T1^12*T2^13 + 377*T1^13*T2^13 - 447*T1^14*T2^13 + 340*T1^15*T2^13 - 
      120*T1^16*T2^13 + 39*T1^6*T2^14 - 95*T1^7*T2^14 + 71*T1^8*T2^14 + 
      47*T1^9*T2^14 - 442*T1^10*T2^14 + 429*T1^11*T2^14 - 26*T1^12*T2^14 - 
      447*T1^13*T2^14 + 383*T1^14*T2^14 - 225*T1^15*T2^14 + 65*T1^16*T2^14 - 
      20*T1^7*T2^15 + 75*T1^8*T2^15 - 135*T1^9*T2^15 + 155*T1^10*T2^15 + 
      20*T1^11*T2^15 - 245*T1^12*T2^15 + 340*T1^13*T2^15 - 225*T1^14*T2^15 + 
      105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 
      65*T1^10*T2^16 - 120*T1^11*T2^16 + 145*T1^12*T2^16 - 120*T1^13*T2^16 + 
      65*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 207] -> 
  {-((1 - 3*T - T^2 + 12*T^3 - 19*T^4 + 12*T^5 - T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 + 7*T1^2 - 84*T1^3 + 133*T1^4 - 84*T1^5 + 7*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 - 75*T1^2*T2 + 234*T1^3*T2 - 183*T1^4*T2 - 
      90*T1^5*T2 + 195*T1^6*T2 - 81*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 + 
      7*T2^2 - 75*T1*T2^2 + 160*T1^2*T2^2 + 115*T1^3*T2^2 - 753*T1^4*T2^2 + 
      1122*T1^5*T2^2 - 717*T1^6*T2^2 + 85*T1^7*T2^2 + 164*T1^8*T2^2 - 
      69*T1^9*T2^2 + 5*T1^10*T2^2 - 84*T2^3 + 234*T1*T2^3 + 115*T1^2*T2^3 - 
      945*T1^3*T2^3 + 1421*T1^4*T2^3 - 732*T1^5*T2^3 - 357*T1^6*T2^3 + 
      884*T1^7*T2^3 - 543*T1^8*T2^3 + 67*T1^9*T2^3 + 129*T1^10*T2^3 - 
      48*T1^11*T2^3 + 133*T2^4 - 183*T1*T2^4 - 753*T1^2*T2^4 + 
      1421*T1^3*T2^4 - 207*T1^4*T2^4 - 2549*T1^5*T2^4 + 3623*T1^6*T2^4 - 
      2393*T1^7*T2^4 + 233*T1^8*T2^4 + 653*T1^9*T2^4 - 461*T1^10*T2^4 - 
      27*T1^11*T2^4 + 57*T1^12*T2^4 - 84*T2^5 - 90*T1*T2^5 + 1122*T1^2*T2^5 - 
      732*T1^3*T2^5 - 2549*T1^4*T2^5 + 5619*T1^5*T2^5 - 3736*T1^6*T2^5 - 
      1021*T1^7*T2^5 + 3387*T1^8*T2^5 - 1832*T1^9*T2^5 - 135*T1^10*T2^5 + 
      537*T1^11*T2^5 - 99*T1^12*T2^5 - 24*T1^13*T2^5 + 7*T2^6 + 195*T1*T2^6 - 
      717*T1^2*T2^6 - 357*T1^3*T2^6 + 3623*T1^4*T2^6 - 3736*T1^5*T2^6 - 
      1804*T1^6*T2^6 + 6892*T1^7*T2^6 - 4636*T1^8*T2^6 - 358*T1^9*T2^6 + 
      1933*T1^10*T2^6 - 399*T1^11*T2^6 - 241*T1^12*T2^6 + 69*T1^13*T2^6 + 
      T1^14*T2^6 + 21*T2^7 - 81*T1*T2^7 + 85*T1^2*T2^7 + 884*T1^3*T2^7 - 
      2393*T1^4*T2^7 - 1021*T1^5*T2^7 + 6892*T1^6*T2^7 - 7238*T1^7*T2^7 - 
      524*T1^8*T2^7 + 4690*T1^9*T2^7 - 2410*T1^10*T2^7 - 866*T1^11*T2^7 + 
      497*T1^12*T2^7 + 25*T1^13*T2^7 - 3*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 
      164*T1^2*T2^8 - 543*T1^3*T2^8 + 233*T1^4*T2^8 + 3387*T1^5*T2^8 - 
      4636*T1^6*T2^8 - 524*T1^7*T2^8 + 7548*T1^8*T2^8 - 5780*T1^9*T2^8 + 
      244*T1^10*T2^8 + 1929*T1^11*T2^8 - 139*T1^12*T2^8 - 225*T1^13*T2^8 - 
      2*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 69*T1^2*T2^9 + 
      67*T1^3*T2^9 + 653*T1^4*T2^9 - 1832*T1^5*T2^9 - 358*T1^6*T2^9 + 
      4690*T1^7*T2^9 - 5780*T1^8*T2^9 + 934*T1^9*T2^9 + 2488*T1^10*T2^9 - 
      1747*T1^11*T2^9 - 305*T1^12*T2^9 + 266*T1^13*T2^9 + 7*T1^14*T2^9 + 
      9*T1^15*T2^9 - 3*T1^16*T2^9 + 5*T1^2*T2^10 + 129*T1^3*T2^10 - 
      461*T1^4*T2^10 - 135*T1^5*T2^10 + 1933*T1^6*T2^10 - 2410*T1^7*T2^10 + 
      244*T1^8*T2^10 + 2488*T1^9*T2^10 - 2588*T1^10*T2^10 + 968*T1^11*T2^10 + 
      243*T1^12*T2^10 - 177*T1^13*T2^10 + 15*T1^14*T2^10 + 3*T1^15*T2^10 - 
      T1^16*T2^10 - 48*T1^3*T2^11 - 27*T1^4*T2^11 + 537*T1^5*T2^11 - 
      399*T1^6*T2^11 - 866*T1^7*T2^11 + 1929*T1^8*T2^11 - 1747*T1^9*T2^11 + 
      968*T1^10*T2^11 - 303*T1^11*T2^11 - 149*T1^12*T2^11 + 198*T1^13*T2^11 - 
      48*T1^14*T2^11 - 36*T1^15*T2^11 + 12*T1^16*T2^11 + 57*T1^4*T2^12 - 
      99*T1^5*T2^12 - 241*T1^6*T2^12 + 497*T1^7*T2^12 - 139*T1^8*T2^12 - 
      305*T1^9*T2^12 + 243*T1^10*T2^12 - 149*T1^11*T2^12 + 301*T1^12*T2^12 - 
      271*T1^13*T2^12 + 51*T1^14*T2^12 + 57*T1^15*T2^12 - 19*T1^16*T2^12 - 
      24*T1^5*T2^13 + 69*T1^6*T2^13 + 25*T1^7*T2^13 - 225*T1^8*T2^13 + 
      266*T1^9*T2^13 - 177*T1^10*T2^13 + 198*T1^11*T2^13 - 271*T1^12*T2^13 + 
      177*T1^13*T2^13 - 23*T1^14*T2^13 - 36*T1^15*T2^13 + 12*T1^16*T2^13 + 
      T1^6*T2^14 - 3*T1^7*T2^14 - 2*T1^8*T2^14 + 7*T1^9*T2^14 + 
      15*T1^10*T2^14 - 48*T1^11*T2^14 + 51*T1^12*T2^14 - 23*T1^13*T2^14 + 
      2*T1^14*T2^14 + 3*T1^15*T2^14 - T1^16*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 + 3*T1^10*T2^15 - 36*T1^11*T2^15 + 57*T1^12*T2^15 - 
      36*T1^13*T2^15 + 3*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 - T1^10*T2^16 + 12*T1^11*T2^16 - 
      19*T1^12*T2^16 + 12*T1^13*T2^16 - T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 208] -> 
  {(3 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-51 + 188*T1 - 389*T1^2 + 489*T1^3 - 389*T1^4 + 188*T1^5 - 51*T1^6 + 
     188*T2 - 609*T1*T2 + 1118*T1^2*T2 - 1136*T1^3*T2 + 580*T1^4*T2 - 
     4*T1^5*T2 - 147*T1^6*T2 + 89*T1^7*T2 - 389*T2^2 + 1118*T1*T2^2 - 
     1659*T1^2*T2^2 + 885*T1^3*T2^2 + 755*T1^4*T2^2 - 1599*T1^5*T2^2 + 
     1101*T1^6*T2^2 - 400*T1^7*T2^2 + 25*T1^8*T2^2 + 489*T2^3 - 
     1136*T1*T2^3 + 885*T1^2*T2^3 + 962*T1^3*T2^3 - 2637*T1^4*T2^3 + 
     1645*T1^5*T2^3 + 712*T1^6*T2^3 - 1576*T1^7*T2^3 + 976*T1^8*T2^3 - 
     294*T1^9*T2^3 - 389*T2^4 + 580*T1*T2^4 + 755*T1^2*T2^4 - 
     2637*T1^3*T2^4 + 2859*T1^4*T2^4 + 543*T1^5*T2^4 - 3105*T1^6*T2^4 + 
     2119*T1^7*T2^4 + 85*T1^8*T2^4 - 542*T1^9*T2^4 + 439*T1^10*T2^4 + 
     188*T2^5 - 4*T1*T2^5 - 1599*T1^2*T2^5 + 1645*T1^3*T2^5 + 543*T1^4*T2^5 - 
     5449*T1^5*T2^5 + 5739*T1^6*T2^5 - 1642*T1^7*T2^5 - 1689*T1^8*T2^5 + 
     954*T1^9*T2^5 - 466*T1^10*T2^5 - 307*T1^11*T2^5 - 51*T2^6 - 
     147*T1*T2^6 + 1101*T1^2*T2^6 + 712*T1^3*T2^6 - 3105*T1^4*T2^6 + 
     5739*T1^5*T2^6 - 1464*T1^6*T2^6 - 4219*T1^7*T2^6 + 5261*T1^8*T2^6 - 
     1360*T1^9*T2^6 + 193*T1^10*T2^6 + 711*T1^11*T2^6 + 111*T1^12*T2^6 + 
     89*T1*T2^7 - 400*T1^2*T2^7 - 1576*T1^3*T2^7 + 2119*T1^4*T2^7 - 
     1642*T1^5*T2^7 - 4219*T1^6*T2^7 + 6969*T1^7*T2^7 - 3827*T1^8*T2^7 - 
     1215*T1^9*T2^7 + 977*T1^10*T2^7 - 862*T1^11*T2^7 - 406*T1^12*T2^7 + 
     25*T1^2*T2^8 + 976*T1^3*T2^8 + 85*T1^4*T2^8 - 1689*T1^5*T2^8 + 
     5261*T1^6*T2^8 - 3827*T1^7*T2^8 - 703*T1^8*T2^8 + 3067*T1^9*T2^8 - 
     585*T1^10*T2^8 - 146*T1^11*T2^8 + 853*T1^12*T2^8 - 294*T1^3*T2^9 - 
     542*T1^4*T2^9 + 954*T1^5*T2^9 - 1360*T1^6*T2^9 - 1215*T1^7*T2^9 + 
     3067*T1^8*T2^9 - 1610*T1^9*T2^9 - 1507*T1^10*T2^9 + 1570*T1^11*T2^9 - 
     1077*T1^12*T2^9 + 439*T1^4*T2^10 - 466*T1^5*T2^10 + 193*T1^6*T2^10 + 
     977*T1^7*T2^10 - 585*T1^8*T2^10 - 1507*T1^9*T2^10 + 2953*T1^10*T2^10 - 
     1984*T1^11*T2^10 + 853*T1^12*T2^10 - 307*T1^5*T2^11 + 711*T1^6*T2^11 - 
     862*T1^7*T2^11 - 146*T1^8*T2^11 + 1570*T1^9*T2^11 - 1984*T1^10*T2^11 + 
     1173*T1^11*T2^11 - 406*T1^12*T2^11 + 111*T1^6*T2^12 - 406*T1^7*T2^12 + 
     853*T1^8*T2^12 - 1077*T1^9*T2^12 + 853*T1^10*T2^12 - 406*T1^11*T2^12 + 
     111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 209] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 687*T1 - 1415*T1^2 + 1780*T1^3 - 1415*T1^4 + 687*T1^5 - 
      138*T1^6 + 687*T2 - 2865*T1*T2 + 4277*T1^2*T2 - 3197*T1^3*T2 - 
      47*T1^4*T2 + 2207*T1^5*T2 - 2055*T1^6*T2 + 552*T1^7*T2 - 1415*T2^2 + 
      4277*T1*T2^2 - 1564*T1^2*T2^2 - 5822*T1^3*T2^2 + 12330*T1^4*T2^2 - 
      10286*T1^5*T2^2 + 3644*T1^6*T2^2 + 1487*T1^7*T2^2 - 857*T1^8*T2^2 + 
      1780*T2^3 - 3197*T1*T2^3 - 5822*T1^2*T2^3 + 14782*T1^3*T2^3 - 
      14785*T1^4*T2^3 + 1619*T1^5*T2^3 + 8134*T1^6*T2^3 - 8333*T1^7*T2^3 + 
      673*T1^8*T2^3 + 727*T1^9*T2^3 - 1415*T2^4 - 47*T1*T2^4 + 
      12330*T1^2*T2^4 - 14785*T1^3*T2^4 + 4686*T1^4*T2^4 + 12338*T1^5*T2^4 - 
      12978*T1^6*T2^4 + 3467*T1^7*T2^4 + 6312*T1^8*T2^4 - 2117*T1^9*T2^4 - 
      299*T1^10*T2^4 + 687*T2^5 + 2207*T1*T2^5 - 10286*T1^2*T2^5 + 
      1619*T1^3*T2^5 + 12338*T1^4*T2^5 - 19505*T1^5*T2^5 + 5005*T1^6*T2^5 + 
      8339*T1^7*T2^5 - 11089*T1^8*T2^5 + 37*T1^9*T2^5 + 1397*T1^10*T2^5 + 
      12*T1^11*T2^5 - 138*T2^6 - 2055*T1*T2^6 + 3644*T1^2*T2^6 + 
      8134*T1^3*T2^6 - 12978*T1^4*T2^6 + 5005*T1^5*T2^6 + 13656*T1^6*T2^6 - 
      16733*T1^7*T2^6 + 7412*T1^8*T2^6 + 5098*T1^9*T2^6 - 2416*T1^10*T2^6 - 
      165*T1^11*T2^6 + 24*T1^12*T2^6 + 552*T1*T2^7 + 1487*T1^2*T2^7 - 
      8333*T1^3*T2^7 + 3467*T1^4*T2^7 + 8339*T1^5*T2^7 - 16733*T1^6*T2^7 + 
      7777*T1^7*T2^7 + 4340*T1^8*T2^7 - 9241*T1^9*T2^7 + 1990*T1^10*T2^7 + 
      677*T1^11*T2^7 - 123*T1^12*T2^7 - 857*T1^2*T2^8 + 673*T1^3*T2^8 + 
      6312*T1^4*T2^8 - 11089*T1^5*T2^8 + 7412*T1^6*T2^8 + 4340*T1^7*T2^8 - 
      10252*T1^8*T2^8 + 7163*T1^9*T2^8 + 294*T1^10*T2^8 - 1397*T1^11*T2^8 + 
      259*T1^12*T2^8 + 727*T1^3*T2^9 - 2117*T1^4*T2^9 + 37*T1^5*T2^9 + 
      5098*T1^6*T2^9 - 9241*T1^7*T2^9 + 7163*T1^8*T2^9 - 1550*T1^9*T2^9 - 
      2474*T1^10*T2^9 + 1753*T1^11*T2^9 - 326*T1^12*T2^9 - 299*T1^4*T2^10 + 
      1397*T1^5*T2^10 - 2416*T1^6*T2^10 + 1990*T1^7*T2^10 + 294*T1^8*T2^10 - 
      2474*T1^9*T2^10 + 2792*T1^10*T2^10 - 1393*T1^11*T2^10 + 
      259*T1^12*T2^10 + 12*T1^5*T2^11 - 165*T1^6*T2^11 + 677*T1^7*T2^11 - 
      1397*T1^8*T2^11 + 1753*T1^9*T2^11 - 1393*T1^10*T2^11 + 
      645*T1^11*T2^11 - 123*T1^12*T2^11 + 24*T1^6*T2^12 - 123*T1^7*T2^12 + 
      259*T1^8*T2^12 - 326*T1^9*T2^12 + 259*T1^10*T2^12 - 123*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 210] -> {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (3*T1^2 - 6*T1^3 + 3*T1^4 - 13*T1*T2 + 16*T1^2*T2 - 5*T1^3*T2 - 
     9*T1^4*T2 + 16*T1^5*T2 - 11*T1^6*T2 - T1^7*T2 + 3*T2^2 + 16*T1*T2^2 - 
     12*T1^2*T2^2 - 2*T1^3*T2^2 + 14*T1^4*T2^2 - 10*T1^5*T2^2 - 8*T1^6*T2^2 + 
     18*T1^7*T2^2 + T1^8*T2^2 - 6*T2^3 - 5*T1*T2^3 - 2*T1^2*T2^3 + 
     6*T1^3*T2^3 - 8*T1^4*T2^3 - 4*T1^5*T2^3 + 24*T1^6*T2^3 - 13*T1^7*T2^3 - 
     13*T1^8*T2^3 + 3*T1^9*T2^3 + 3*T2^4 - 9*T1*T2^4 + 14*T1^2*T2^4 - 
     8*T1^3*T2^4 - 15*T1^4*T2^4 + 37*T1^5*T2^4 - 31*T1^6*T2^4 - 8*T1^7*T2^4 + 
     24*T1^8*T2^4 - 11*T1^9*T2^4 - T1^10*T2^4 + 16*T1*T2^5 - 10*T1^2*T2^5 - 
     4*T1^3*T2^5 + 37*T1^4*T2^5 - 31*T1^5*T2^5 - 33*T1^6*T2^5 + 
     48*T1^7*T2^5 - 16*T1^8*T2^5 - 11*T1^9*T2^5 + 24*T1^10*T2^5 - 
     5*T1^11*T2^5 - 11*T1*T2^6 - 8*T1^2*T2^6 + 24*T1^3*T2^6 - 31*T1^4*T2^6 - 
     33*T1^5*T2^6 + 108*T1^6*T2^6 - 39*T1^7*T2^6 - 29*T1^8*T2^6 + 
     36*T1^9*T2^6 - 16*T1^10*T2^6 - 13*T1^11*T2^6 + 6*T1^12*T2^6 - T1*T2^7 + 
     18*T1^2*T2^7 - 13*T1^3*T2^7 - 8*T1^4*T2^7 + 48*T1^5*T2^7 - 
     39*T1^6*T2^7 - 41*T1^7*T2^7 + 59*T1^8*T2^7 - 20*T1^9*T2^7 - 
     14*T1^10*T2^7 + 26*T1^11*T2^7 - 6*T1^12*T2^7 + T1^2*T2^8 - 
     13*T1^3*T2^8 + 24*T1^4*T2^8 - 16*T1^5*T2^8 - 29*T1^6*T2^8 + 
     59*T1^7*T2^8 - 45*T1^8*T2^8 - 16*T1^9*T2^8 + 34*T1^10*T2^8 - 
     15*T1^11*T2^8 - 3*T1^12*T2^8 + 3*T1^3*T2^9 - 11*T1^4*T2^9 - 
     11*T1^5*T2^9 + 36*T1^6*T2^9 - 20*T1^7*T2^9 - 16*T1^8*T2^9 + 
     54*T1^9*T2^9 - 22*T1^10*T2^9 - 19*T1^11*T2^9 + 12*T1^12*T2^9 - 
     T1^4*T2^10 + 24*T1^5*T2^10 - 16*T1^6*T2^10 - 14*T1^7*T2^10 + 
     34*T1^8*T2^10 - 22*T1^9*T2^10 - 12*T1^10*T2^10 + 26*T1^11*T2^10 - 
     3*T1^12*T2^10 - 5*T1^5*T2^11 - 13*T1^6*T2^11 + 26*T1^7*T2^11 - 
     15*T1^8*T2^11 - 19*T1^9*T2^11 + 26*T1^10*T2^11 - 11*T1^11*T2^11 - 
     6*T1^12*T2^11 + 6*T1^6*T2^12 - 6*T1^7*T2^12 - 3*T1^8*T2^12 + 
     12*T1^9*T2^12 - 3*T1^10*T2^12 - 6*T1^11*T2^12 + 6*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 211] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 48*T1^2 + 52*T1^3 - 48*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 180*T1^2*T2 - 96*T1^3*T2 + 54*T1^4*T2 + 72*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 48*T2^2 + 180*T1*T2^2 + 49*T1^2*T2^2 - 
     542*T1^3*T2^2 + 571*T1^4*T2^2 - 710*T1^5*T2^2 + 313*T1^6*T2^2 + 
     36*T1^7*T2^2 - 24*T1^8*T2^2 + 52*T2^3 - 96*T1*T2^3 - 542*T1^2*T2^3 + 
     1143*T1^3*T2^3 - 622*T1^4*T2^3 + 476*T1^5*T2^3 + 393*T1^6*T2^3 - 
     506*T1^7*T2^3 + 66*T1^8*T2^3 + 13*T1^9*T2^3 - 48*T2^4 + 54*T1*T2^4 + 
     571*T1^2*T2^4 - 622*T1^3*T2^4 - 658*T1^4*T2^4 + 870*T1^5*T2^4 - 
     1222*T1^6*T2^4 + 470*T1^7*T2^4 + 211*T1^8*T2^4 - 78*T1^9*T2^4 + 
     24*T2^5 + 72*T1*T2^5 - 710*T1^2*T2^5 + 476*T1^3*T2^5 + 870*T1^4*T2^5 - 
     438*T1^5*T2^5 - 216*T1^6*T2^5 + 726*T1^7*T2^5 - 634*T1^8*T2^5 + 
     70*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     313*T1^2*T2^6 + 393*T1^3*T2^6 - 1222*T1^4*T2^6 - 216*T1^5*T2^6 + 
     1236*T1^6*T2^6 - 684*T1^7*T2^6 + 146*T1^8*T2^6 + 315*T1^9*T2^6 - 
     191*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     36*T1^2*T2^7 - 506*T1^3*T2^7 + 470*T1^4*T2^7 + 726*T1^5*T2^7 - 
     684*T1^6*T2^7 - 462*T1^7*T2^7 + 582*T1^8*T2^7 - 640*T1^9*T2^7 + 
     274*T1^10*T2^7 - 12*T1^12*T2^7 - 24*T1^2*T2^8 + 66*T1^3*T2^8 + 
     211*T1^4*T2^8 - 634*T1^5*T2^8 + 146*T1^6*T2^8 + 582*T1^7*T2^8 - 
     418*T1^8*T2^8 + 458*T1^9*T2^8 - 149*T1^10*T2^8 - 66*T1^11*T2^8 + 
     24*T1^12*T2^8 + 13*T1^3*T2^9 - 78*T1^4*T2^9 + 70*T1^5*T2^9 + 
     315*T1^6*T2^9 - 640*T1^7*T2^9 + 458*T1^8*T2^9 - 435*T1^9*T2^9 + 
     106*T1^10*T2^9 + 84*T1^11*T2^9 - 26*T1^12*T2^9 + 36*T1^5*T2^10 - 
     191*T1^6*T2^10 + 274*T1^7*T2^10 - 149*T1^8*T2^10 + 106*T1^9*T2^10 + 
     73*T1^10*T2^10 - 108*T1^11*T2^10 + 24*T1^12*T2^10 - 6*T1^5*T2^11 + 
     24*T1^6*T2^11 - 66*T1^8*T2^11 + 84*T1^9*T2^11 - 108*T1^10*T2^11 + 
     66*T1^11*T2^11 - 12*T1^12*T2^11 + 2*T1^6*T2^12 - 12*T1^7*T2^12 + 
     24*T1^8*T2^12 - 26*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 212] -> 
  {(3 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-51 + 188*T1 - 392*T1^2 + 495*T1^3 - 392*T1^4 + 188*T1^5 - 51*T1^6 + 
     188*T2 - 603*T1*T2 + 1112*T1^2*T2 - 1136*T1^3*T2 + 580*T1^4*T2 - 
     10*T1^5*T2 - 141*T1^6*T2 + 89*T1^7*T2 - 392*T2^2 + 1112*T1*T2^2 - 
     1653*T1^2*T2^2 + 885*T1^3*T2^2 + 761*T1^4*T2^2 - 1599*T1^5*T2^2 + 
     1107*T1^6*T2^2 - 406*T1^7*T2^2 + 22*T1^8*T2^2 + 495*T2^3 - 
     1136*T1*T2^3 + 885*T1^2*T2^3 + 962*T1^3*T2^3 - 2643*T1^4*T2^3 + 
     1639*T1^5*T2^3 + 712*T1^6*T2^3 - 1576*T1^7*T2^3 + 976*T1^8*T2^3 - 
     288*T1^9*T2^3 - 392*T2^4 + 580*T1*T2^4 + 761*T1^2*T2^4 - 
     2643*T1^3*T2^4 + 2859*T1^4*T2^4 + 549*T1^5*T2^4 - 3105*T1^6*T2^4 + 
     2113*T1^7*T2^4 + 91*T1^8*T2^4 - 542*T1^9*T2^4 + 436*T1^10*T2^4 + 
     188*T2^5 - 10*T1*T2^5 - 1599*T1^2*T2^5 + 1639*T1^3*T2^5 + 
     549*T1^4*T2^5 - 5443*T1^5*T2^5 + 5745*T1^6*T2^5 - 1636*T1^7*T2^5 - 
     1695*T1^8*T2^5 + 954*T1^9*T2^5 - 472*T1^10*T2^5 - 307*T1^11*T2^5 - 
     51*T2^6 - 141*T1*T2^6 + 1107*T1^2*T2^6 + 712*T1^3*T2^6 - 
     3105*T1^4*T2^6 + 5745*T1^5*T2^6 - 1500*T1^6*T2^6 - 4213*T1^7*T2^6 + 
     5261*T1^8*T2^6 - 1360*T1^9*T2^6 + 199*T1^10*T2^6 + 717*T1^11*T2^6 + 
     111*T1^12*T2^6 + 89*T1*T2^7 - 406*T1^2*T2^7 - 1576*T1^3*T2^7 + 
     2113*T1^4*T2^7 - 1636*T1^5*T2^7 - 4213*T1^6*T2^7 + 6975*T1^7*T2^7 - 
     3821*T1^8*T2^7 - 1221*T1^9*T2^7 + 977*T1^10*T2^7 - 868*T1^11*T2^7 - 
     406*T1^12*T2^7 + 22*T1^2*T2^8 + 976*T1^3*T2^8 + 91*T1^4*T2^8 - 
     1695*T1^5*T2^8 + 5261*T1^6*T2^8 - 3821*T1^7*T2^8 - 703*T1^8*T2^8 + 
     3061*T1^9*T2^8 - 579*T1^10*T2^8 - 146*T1^11*T2^8 + 850*T1^12*T2^8 - 
     288*T1^3*T2^9 - 542*T1^4*T2^9 + 954*T1^5*T2^9 - 1360*T1^6*T2^9 - 
     1221*T1^7*T2^9 + 3061*T1^8*T2^9 - 1610*T1^9*T2^9 - 1507*T1^10*T2^9 + 
     1570*T1^11*T2^9 - 1071*T1^12*T2^9 + 436*T1^4*T2^10 - 472*T1^5*T2^10 + 
     199*T1^6*T2^10 + 977*T1^7*T2^10 - 579*T1^8*T2^10 - 1507*T1^9*T2^10 + 
     2959*T1^10*T2^10 - 1990*T1^11*T2^10 + 850*T1^12*T2^10 - 307*T1^5*T2^11 + 
     717*T1^6*T2^11 - 868*T1^7*T2^11 - 146*T1^8*T2^11 + 1570*T1^9*T2^11 - 
     1990*T1^10*T2^11 + 1179*T1^11*T2^11 - 406*T1^12*T2^11 + 111*T1^6*T2^12 - 
     406*T1^7*T2^12 + 850*T1^8*T2^12 - 1071*T1^9*T2^12 + 850*T1^10*T2^12 - 
     406*T1^11*T2^12 + 111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 213] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 687*T1 - 1412*T1^2 + 1774*T1^3 - 1412*T1^4 + 687*T1^5 - 
      138*T1^6 + 687*T2 - 2871*T1*T2 + 4283*T1^2*T2 - 3197*T1^3*T2 - 
      47*T1^4*T2 + 2213*T1^5*T2 - 2061*T1^6*T2 + 552*T1^7*T2 - 1412*T2^2 + 
      4283*T1*T2^2 - 1570*T1^2*T2^2 - 5822*T1^3*T2^2 + 12324*T1^4*T2^2 - 
      10286*T1^5*T2^2 + 3638*T1^6*T2^2 + 1493*T1^7*T2^2 - 854*T1^8*T2^2 + 
      1774*T2^3 - 3197*T1*T2^3 - 5822*T1^2*T2^3 + 14782*T1^3*T2^3 - 
      14779*T1^4*T2^3 + 1625*T1^5*T2^3 + 8134*T1^6*T2^3 - 8333*T1^7*T2^3 + 
      673*T1^8*T2^3 + 721*T1^9*T2^3 - 1412*T2^4 - 47*T1*T2^4 + 
      12324*T1^2*T2^4 - 14779*T1^3*T2^4 + 4686*T1^4*T2^4 + 12332*T1^5*T2^4 - 
      12978*T1^6*T2^4 + 3473*T1^7*T2^4 + 6306*T1^8*T2^4 - 2117*T1^9*T2^4 - 
      296*T1^10*T2^4 + 687*T2^5 + 2213*T1*T2^5 - 10286*T1^2*T2^5 + 
      1625*T1^3*T2^5 + 12332*T1^4*T2^5 - 19511*T1^5*T2^5 + 4999*T1^6*T2^5 + 
      8333*T1^7*T2^5 - 11083*T1^8*T2^5 + 37*T1^9*T2^5 + 1403*T1^10*T2^5 + 
      12*T1^11*T2^5 - 138*T2^6 - 2061*T1*T2^6 + 3638*T1^2*T2^6 + 
      8134*T1^3*T2^6 - 12978*T1^4*T2^6 + 4999*T1^5*T2^6 + 13692*T1^6*T2^6 - 
      16739*T1^7*T2^6 + 7412*T1^8*T2^6 + 5098*T1^9*T2^6 - 2422*T1^10*T2^6 - 
      171*T1^11*T2^6 + 24*T1^12*T2^6 + 552*T1*T2^7 + 1493*T1^2*T2^7 - 
      8333*T1^3*T2^7 + 3473*T1^4*T2^7 + 8333*T1^5*T2^7 - 16739*T1^6*T2^7 + 
      7771*T1^7*T2^7 + 4334*T1^8*T2^7 - 9235*T1^9*T2^7 + 1990*T1^10*T2^7 + 
      683*T1^11*T2^7 - 123*T1^12*T2^7 - 854*T1^2*T2^8 + 673*T1^3*T2^8 + 
      6306*T1^4*T2^8 - 11083*T1^5*T2^8 + 7412*T1^6*T2^8 + 4334*T1^7*T2^8 - 
      10252*T1^8*T2^8 + 7169*T1^9*T2^8 + 288*T1^10*T2^8 - 1397*T1^11*T2^8 + 
      262*T1^12*T2^8 + 721*T1^3*T2^9 - 2117*T1^4*T2^9 + 37*T1^5*T2^9 + 
      5098*T1^6*T2^9 - 9235*T1^7*T2^9 + 7169*T1^8*T2^9 - 1550*T1^9*T2^9 - 
      2474*T1^10*T2^9 + 1753*T1^11*T2^9 - 332*T1^12*T2^9 - 296*T1^4*T2^10 + 
      1403*T1^5*T2^10 - 2422*T1^6*T2^10 + 1990*T1^7*T2^10 + 288*T1^8*T2^10 - 
      2474*T1^9*T2^10 + 2786*T1^10*T2^10 - 1387*T1^11*T2^10 + 
      262*T1^12*T2^10 + 12*T1^5*T2^11 - 171*T1^6*T2^11 + 683*T1^7*T2^11 - 
      1397*T1^8*T2^11 + 1753*T1^9*T2^11 - 1387*T1^10*T2^11 + 
      639*T1^11*T2^11 - 123*T1^12*T2^11 + 24*T1^6*T2^12 - 123*T1^7*T2^12 + 
      262*T1^8*T2^12 - 332*T1^9*T2^12 + 262*T1^10*T2^12 - 123*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 214] -> {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-7 + 10*T1 - 5*T1^2 - 9*T1^3 + 10*T1^4 - 5*T1^5 - T1^6 + 10*T2 - 
     6*T1*T2 - 2*T1^2*T2 + 20*T1^3*T2 - 10*T1^4*T2 - 2*T1^5*T2 + 12*T1^6*T2 - 
     2*T1^7*T2 - 5*T2^2 - 2*T1*T2^2 + 6*T1^2*T2^2 - 14*T1^3*T2^2 - 
     10*T1^4*T2^2 + 24*T1^5*T2^2 - 13*T1^6*T2^2 - 13*T1^7*T2^2 + 
     9*T1^8*T2^2 - 9*T2^3 + 20*T1*T2^3 - 14*T1^2*T2^3 - 15*T1^3*T2^3 + 
     43*T1^4*T2^3 - 31*T1^5*T2^3 - 14*T1^6*T2^3 + 30*T1^7*T2^3 - 
     11*T1^8*T2^3 - 4*T1^9*T2^3 + 10*T2^4 - 10*T1*T2^4 - 10*T1^2*T2^4 + 
     43*T1^3*T2^4 - 25*T1^4*T2^4 - 27*T1^5*T2^4 + 54*T1^6*T2^4 - 
     22*T1^7*T2^4 - 11*T1^8*T2^4 + 18*T1^9*T2^4 - 5*T1^10*T2^4 - 5*T2^5 - 
     2*T1*T2^5 + 24*T1^2*T2^5 - 31*T1^3*T2^5 - 27*T1^4*T2^5 + 72*T1^5*T2^5 - 
     33*T1^6*T2^5 - 29*T1^7*T2^5 + 36*T1^8*T2^5 - 10*T1^9*T2^5 - 
     7*T1^10*T2^5 + 6*T1^11*T2^5 - T2^6 + 12*T1*T2^6 - 13*T1^2*T2^6 - 
     14*T1^3*T2^6 + 54*T1^4*T2^6 - 33*T1^5*T2^6 - 35*T1^6*T2^6 + 
     65*T1^7*T2^6 - 26*T1^8*T2^6 - 14*T1^9*T2^6 + 20*T1^10*T2^6 - 
     6*T1^11*T2^6 - 2*T1*T2^7 - 13*T1^2*T2^7 + 30*T1^3*T2^7 - 22*T1^4*T2^7 - 
     29*T1^5*T2^7 + 65*T1^6*T2^7 - 45*T1^7*T2^7 - 22*T1^8*T2^7 + 
     40*T1^9*T2^7 - 15*T1^10*T2^7 - 6*T1^11*T2^7 + 9*T1^2*T2^8 - 
     11*T1^3*T2^8 - 11*T1^4*T2^8 + 36*T1^5*T2^8 - 26*T1^6*T2^8 - 
     22*T1^7*T2^8 + 54*T1^8*T2^8 - 22*T1^9*T2^8 - 19*T1^10*T2^8 + 
     18*T1^11*T2^8 - 4*T1^3*T2^9 + 18*T1^4*T2^9 - 10*T1^5*T2^9 - 
     14*T1^6*T2^9 + 40*T1^7*T2^9 - 22*T1^8*T2^9 - 6*T1^9*T2^9 + 
     20*T1^10*T2^9 - 6*T1^11*T2^9 - 5*T1^4*T2^10 - 7*T1^5*T2^10 + 
     20*T1^6*T2^10 - 15*T1^7*T2^10 - 19*T1^8*T2^10 + 20*T1^9*T2^10 - 
     5*T1^10*T2^10 - 6*T1^11*T2^10 + 6*T1^5*T2^11 - 6*T1^6*T2^11 - 
     6*T1^7*T2^11 + 18*T1^8*T2^11 - 6*T1^9*T2^11 - 6*T1^10*T2^11 + 
     6*T1^11*T2^11)/(T1^6*T2^5*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 215] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 164*T1 - 266*T1^2 + 307*T1^3 - 266*T1^4 + 164*T1^5 - 41*T1^6 + 
      164*T2 - 524*T1*T2 + 536*T1^2*T2 - 372*T1^3*T2 + 76*T1^4*T2 + 
      200*T1^5*T2 - 364*T1^6*T2 + 132*T1^7*T2 - 266*T2^2 + 536*T1*T2^2 + 
      222*T1^2*T2^2 - 799*T1^3*T2^2 + 1196*T1^4*T2^2 - 1163*T1^5*T2^2 + 
      794*T1^6*T2^2 + 120*T1^7*T2^2 - 162*T1^8*T2^2 + 307*T2^3 - 
      372*T1*T2^3 - 799*T1^2*T2^3 + 886*T1^3*T2^3 - 767*T1^4*T2^3 + 
      255*T1^5*T2^3 + 232*T1^6*T2^3 - 929*T1^7*T2^3 + 140*T1^8*T2^3 + 
      127*T1^9*T2^3 - 266*T2^4 + 76*T1*T2^4 + 1196*T1^2*T2^4 - 
      767*T1^3*T2^4 + 507*T1^4*T2^4 - 63*T1^5*T2^4 - 29*T1^6*T2^4 + 
      313*T1^7*T2^4 + 628*T1^8*T2^4 - 276*T1^9*T2^4 - 58*T1^10*T2^4 + 
      164*T2^5 + 200*T1*T2^5 - 1163*T1^2*T2^5 + 255*T1^3*T2^5 - 
      63*T1^4*T2^5 + 5*T1^5*T2^5 - 287*T1^6*T2^5 + 106*T1^7*T2^5 - 
      651*T1^8*T2^5 - 97*T1^9*T2^5 + 216*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 364*T1*T2^6 + 794*T1^2*T2^6 + 232*T1^3*T2^6 - 29*T1^4*T2^6 - 
      287*T1^5*T2^6 + 432*T1^6*T2^6 - 29*T1^7*T2^6 + 161*T1^8*T2^6 + 
      496*T1^9*T2^6 - 266*T1^10*T2^6 - 44*T1^11*T2^6 + 7*T1^12*T2^6 + 
      132*T1*T2^7 + 120*T1^2*T2^7 - 929*T1^3*T2^7 + 313*T1^4*T2^7 + 
      106*T1^5*T2^7 - 29*T1^6*T2^7 - 321*T1^7*T2^7 + 275*T1^8*T2^7 - 
      593*T1^9*T2^7 + 137*T1^10*T2^7 + 136*T1^11*T2^7 - 28*T1^12*T2^7 - 
      162*T1^2*T2^8 + 140*T1^3*T2^8 + 628*T1^4*T2^8 - 651*T1^5*T2^8 + 
      161*T1^6*T2^8 + 275*T1^7*T2^8 - 375*T1^8*T2^8 + 429*T1^9*T2^8 + 
      60*T1^10*T2^8 - 212*T1^11*T2^8 + 46*T1^12*T2^8 + 127*T1^3*T2^9 - 
      276*T1^4*T2^9 - 97*T1^5*T2^9 + 496*T1^6*T2^9 - 593*T1^7*T2^9 + 
      429*T1^8*T2^9 - 158*T1^9*T2^9 - 227*T1^10*T2^9 + 236*T1^11*T2^9 - 
      53*T1^12*T2^9 - 58*T1^4*T2^10 + 216*T1^5*T2^10 - 266*T1^6*T2^10 + 
      137*T1^7*T2^10 + 60*T1^8*T2^10 - 227*T1^9*T2^10 + 306*T1^10*T2^10 - 
      200*T1^11*T2^10 + 46*T1^12*T2^10 + 4*T1^5*T2^11 - 44*T1^6*T2^11 + 
      136*T1^7*T2^11 - 212*T1^8*T2^11 + 236*T1^9*T2^11 - 200*T1^10*T2^11 + 
      116*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
      46*T1^8*T2^12 - 53*T1^9*T2^12 + 46*T1^10*T2^12 - 28*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 216] -> 
  {(2 - 8*T + 19*T^2 - 25*T^3 + 19*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 60*T1 - 142*T1^2 + 187*T1^3 - 142*T1^4 + 60*T1^5 - 15*T1^6 + 
     60*T2 - 212*T1*T2 + 456*T1^2*T2 - 484*T1^3*T2 + 220*T1^4*T2 + 
     24*T1^5*T2 - 52*T1^6*T2 + 28*T1^7*T2 - 142*T2^2 + 456*T1*T2^2 - 
     904*T1^2*T2^2 + 737*T1^3*T2^2 + 52*T1^4*T2^2 - 555*T1^5*T2^2 + 
     388*T1^6*T2^2 - 152*T1^7*T2^2 + 10*T1^8*T2^2 + 187*T2^3 - 484*T1*T2^3 + 
     737*T1^2*T2^3 + 78*T1^3*T2^3 - 1371*T1^4*T2^3 + 1267*T1^5*T2^3 + 
     24*T1^6*T2^3 - 593*T1^7*T2^3 + 412*T1^8*T2^3 - 113*T1^9*T2^3 - 
     142*T2^4 + 220*T1*T2^4 + 52*T1^2*T2^4 - 1371*T1^3*T2^4 + 
     2299*T1^4*T2^4 - 413*T1^5*T2^4 - 1917*T1^6*T2^4 + 1629*T1^7*T2^4 - 
     260*T1^8*T2^4 - 196*T1^9*T2^4 + 162*T1^10*T2^4 + 60*T2^5 + 24*T1*T2^5 - 
     555*T1^2*T2^5 + 1267*T1^3*T2^5 - 413*T1^4*T2^5 - 3817*T1^5*T2^5 + 
     5571*T1^6*T2^5 - 2446*T1^7*T2^5 - 647*T1^8*T2^5 + 623*T1^9*T2^5 - 
     248*T1^10*T2^5 - 100*T1^11*T2^5 - 15*T2^6 - 52*T1*T2^6 + 388*T1^2*T2^6 + 
     24*T1^3*T2^6 - 1917*T1^4*T2^6 + 5571*T1^5*T2^6 - 3420*T1^6*T2^6 - 
     2543*T1^7*T2^6 + 4413*T1^8*T2^6 - 1488*T1^9*T2^6 + 240*T1^10*T2^6 + 
     268*T1^11*T2^6 + 33*T1^12*T2^6 + 28*T1*T2^7 - 152*T1^2*T2^7 - 
     593*T1^3*T2^7 + 1629*T1^4*T2^7 - 2446*T1^5*T2^7 - 2543*T1^6*T2^7 + 
     6845*T1^7*T2^7 - 4479*T1^8*T2^7 - 285*T1^9*T2^7 + 585*T1^10*T2^7 - 
     424*T1^11*T2^7 - 132*T1^12*T2^7 + 10*T1^2*T2^8 + 412*T1^3*T2^8 - 
     260*T1^4*T2^8 - 647*T1^5*T2^8 + 4413*T1^6*T2^8 - 4479*T1^7*T2^8 + 
     197*T1^8*T2^8 + 2353*T1^9*T2^8 - 572*T1^10*T2^8 - 4*T1^11*T2^8 + 
     314*T1^12*T2^8 - 113*T1^3*T2^9 - 196*T1^4*T2^9 + 623*T1^5*T2^9 - 
     1488*T1^6*T2^9 - 285*T1^7*T2^9 + 2353*T1^8*T2^9 - 1542*T1^9*T2^9 - 
     707*T1^10*T2^9 + 700*T1^11*T2^9 - 413*T1^12*T2^9 + 162*T1^4*T2^10 - 
     248*T1^5*T2^10 + 240*T1^6*T2^10 + 585*T1^7*T2^10 - 572*T1^8*T2^10 - 
     707*T1^9*T2^10 + 1532*T1^10*T2^10 - 856*T1^11*T2^10 + 314*T1^12*T2^10 - 
     100*T1^5*T2^11 + 268*T1^6*T2^11 - 424*T1^7*T2^11 - 4*T1^8*T2^11 + 
     700*T1^9*T2^11 - 856*T1^10*T2^11 + 428*T1^11*T2^11 - 132*T1^12*T2^11 + 
     33*T1^6*T2^12 - 132*T1^7*T2^12 + 314*T1^8*T2^12 - 413*T1^9*T2^12 + 
     314*T1^10*T2^12 - 132*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 217] -> 
  {(2 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + 2*T^6)/T^3, 
   -((49 - 48*T1 - 76*T1^2 + 175*T1^3 - 76*T1^4 - 48*T1^5 + 49*T1^6 - 48*T2 + 
      8*T1*T2 + 112*T1^2*T2 - 108*T1^3*T2 - 68*T1^4*T2 + 108*T1^5*T2 - 
      8*T1^6*T2 - 40*T1^7*T2 - 76*T2^2 + 112*T1*T2^2 + 29*T1^2*T2^2 - 
      269*T1^3*T2^2 + 315*T1^4*T2^2 - 161*T1^5*T2^2 - 31*T1^6*T2^2 + 
      88*T1^7*T2^2 - 52*T1^8*T2^2 + 175*T2^3 - 108*T1*T2^3 - 269*T1^2*T2^3 + 
      500*T1^3*T2^3 - 167*T1^4*T2^3 - 185*T1^5*T2^3 + 296*T1^6*T2^3 - 
      119*T1^7*T2^3 - 36*T1^8*T2^3 + 91*T1^9*T2^3 - 76*T2^4 - 68*T1*T2^4 + 
      315*T1^2*T2^4 - 167*T1^3*T2^4 - 400*T1^4*T2^4 + 598*T1^5*T2^4 - 
      268*T1^6*T2^4 - 139*T1^7*T2^4 + 187*T1^8*T2^4 - 60*T1^9*T2^4 - 
      28*T1^10*T2^4 - 48*T2^5 + 108*T1*T2^5 - 161*T1^2*T2^5 - 185*T1^3*T2^5 + 
      598*T1^4*T2^5 - 423*T1^5*T2^5 - 275*T1^6*T2^5 + 427*T1^7*T2^5 - 
      75*T1^8*T2^5 - 143*T1^9*T2^5 + 32*T1^10*T2^5 - 8*T1^11*T2^5 + 49*T2^6 - 
      8*T1*T2^6 - 31*T1^2*T2^6 + 296*T1^3*T2^6 - 268*T1^4*T2^6 - 
      275*T1^5*T2^6 + 768*T1^6*T2^6 - 309*T1^7*T2^6 - 218*T1^8*T2^6 + 
      212*T1^9*T2^6 + 37*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 
      40*T1*T2^7 + 88*T1^2*T2^7 - 119*T1^3*T2^7 - 139*T1^4*T2^7 + 
      427*T1^5*T2^7 - 309*T1^6*T2^7 - 161*T1^7*T2^7 + 256*T1^8*T2^7 - 
      29*T1^9*T2^7 - 101*T1^10*T2^7 + 12*T1^11*T2^7 - 52*T1^2*T2^8 - 
      36*T1^3*T2^8 + 187*T1^4*T2^8 - 75*T1^5*T2^8 - 218*T1^6*T2^8 + 
      256*T1^7*T2^8 - 86*T1^8*T2^8 - 47*T1^9*T2^8 + 59*T1^10*T2^8 - 
      28*T1^11*T2^8 - 4*T1^12*T2^8 + 91*T1^3*T2^9 - 60*T1^4*T2^9 - 
      143*T1^5*T2^9 + 212*T1^6*T2^9 - 29*T1^7*T2^9 - 47*T1^8*T2^9 + 
      8*T1^9*T2^9 + 7*T1^10*T2^9 + 12*T1^11*T2^9 + 7*T1^12*T2^9 - 
      28*T1^4*T2^10 + 32*T1^5*T2^10 + 37*T1^6*T2^10 - 101*T1^7*T2^10 + 
      59*T1^8*T2^10 + 7*T1^9*T2^10 - 23*T1^10*T2^10 + 8*T1^11*T2^10 - 
      4*T1^12*T2^10 - 8*T1^5*T2^11 + 8*T1^6*T2^11 + 12*T1^7*T2^11 - 
      28*T1^8*T2^11 + 12*T1^9*T2^11 + 8*T1^10*T2^11 - 8*T1^11*T2^11 + 
      T1^6*T2^12 - 4*T1^8*T2^12 + 7*T1^9*T2^12 - 4*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 218] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3), 
   -((-3 + 12*T1 - 18*T1^2 + 21*T1^3 - 18*T1^4 + 12*T1^5 - 3*T1^6 + 12*T2 - 
      40*T1*T2 + 40*T1^2*T2 - 36*T1^3*T2 + 16*T1^4*T2 - 20*T1^6*T2 + 
      8*T1^7*T2 - 18*T2^2 + 40*T1*T2^2 + 14*T1^2*T2^2 - 44*T1^3*T2^2 + 
      84*T1^4*T2^2 - 80*T1^5*T2^2 + 74*T1^6*T2^2 - 8*T1^7*T2^2 - 
      6*T1^8*T2^2 + 21*T2^3 - 36*T1*T2^3 - 44*T1^2*T2^3 + 67*T1^3*T2^3 - 
      79*T1^4*T2^3 + 23*T1^5*T2^3 - 5*T1^6*T2^3 - 50*T1^7*T2^3 + 
      24*T1^8*T2^3 - 18*T2^4 + 16*T1*T2^4 + 84*T1^2*T2^4 - 79*T1^3*T2^4 - 
      43*T1^4*T2^4 + 143*T1^5*T2^4 - 91*T1^6*T2^4 + 33*T1^7*T2^4 + 
      4*T1^8*T2^4 - 24*T1^9*T2^4 + 6*T1^10*T2^4 + 12*T2^5 - 80*T1^2*T2^5 + 
      23*T1^3*T2^5 + 143*T1^4*T2^5 - 50*T1^5*T2^5 - 124*T1^6*T2^5 + 
      179*T1^7*T2^5 - 59*T1^8*T2^5 + 46*T1^9*T2^5 + 8*T1^10*T2^5 - 
      8*T1^11*T2^5 - 3*T2^6 - 20*T1*T2^6 + 74*T1^2*T2^6 - 5*T1^3*T2^6 - 
      91*T1^4*T2^6 - 124*T1^5*T2^6 + 156*T1^6*T2^6 - 44*T1^7*T2^6 - 
      143*T1^8*T2^6 + 49*T1^9*T2^6 - 74*T1^10*T2^6 + 20*T1^11*T2^6 + 
      3*T1^12*T2^6 + 8*T1*T2^7 - 8*T1^2*T2^7 - 50*T1^3*T2^7 + 33*T1^4*T2^7 + 
      179*T1^5*T2^7 - 44*T1^6*T2^7 - 118*T1^7*T2^7 + 215*T1^8*T2^7 - 
      49*T1^9*T2^7 + 76*T1^10*T2^7 - 12*T1^12*T2^7 - 6*T1^2*T2^8 + 
      24*T1^3*T2^8 + 4*T1^4*T2^8 - 59*T1^5*T2^8 - 143*T1^6*T2^8 + 
      215*T1^7*T2^8 - 191*T1^8*T2^8 + 53*T1^9*T2^8 - 76*T1^10*T2^8 - 
      16*T1^11*T2^8 + 18*T1^12*T2^8 - 24*T1^4*T2^9 + 46*T1^5*T2^9 + 
      49*T1^6*T2^9 - 49*T1^7*T2^9 + 53*T1^8*T2^9 - 23*T1^9*T2^9 + 
      40*T1^10*T2^9 + 36*T1^11*T2^9 - 21*T1^12*T2^9 + 6*T1^4*T2^10 + 
      8*T1^5*T2^10 - 74*T1^6*T2^10 + 76*T1^7*T2^10 - 76*T1^8*T2^10 + 
      40*T1^9*T2^10 - 14*T1^10*T2^10 - 40*T1^11*T2^10 + 18*T1^12*T2^10 - 
      8*T1^5*T2^11 + 20*T1^6*T2^11 - 16*T1^8*T2^11 + 36*T1^9*T2^11 - 
      40*T1^10*T2^11 + 40*T1^11*T2^11 - 12*T1^12*T2^11 + 3*T1^6*T2^12 - 
      12*T1^7*T2^12 + 18*T1^8*T2^12 - 21*T1^9*T2^12 + 18*T1^10*T2^12 - 
      12*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 219] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 260*T1^3*T2 + 
      175*T1^4*T2 - 40*T1^5*T2 - 100*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 176*T1^3*T2^2 + 
      200*T1^4*T2^2 - 398*T1^5*T2^2 + 464*T1^6*T2^2 - 184*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 100*T2^3 - 260*T1*T2^3 + 
      176*T1^2*T2^3 + 52*T1^3*T2^3 - 598*T1^4*T2^3 + 440*T1^5*T2^3 - 
      220*T1^6*T2^3 - 358*T1^7*T2^3 + 292*T1^8*T2^3 - 184*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 175*T1*T2^4 + 
      200*T1^2*T2^4 - 598*T1^3*T2^4 + 1177*T1^4*T2^4 - 455*T1^5*T2^4 + 
      161*T1^6*T2^4 + 365*T1^7*T2^4 + 201*T1^8*T2^4 - 238*T1^9*T2^4 + 
      304*T1^10*T2^4 - 85*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 
      40*T1*T2^5 - 398*T1^2*T2^5 + 440*T1^3*T2^5 - 455*T1^4*T2^5 - 
      829*T1^5*T2^5 + 578*T1^6*T2^5 - 402*T1^7*T2^5 - 709*T1^8*T2^5 + 
      410*T1^9*T2^5 - 260*T1^10*T2^5 - 113*T1^11*T2^5 + 115*T1^12*T2^5 - 
      60*T2^6 - 100*T1*T2^6 + 464*T1^2*T2^6 - 220*T1^3*T2^6 + 161*T1^4*T2^6 + 
      578*T1^5*T2^6 + 738*T1^6*T2^6 - 1224*T1^7*T2^6 + 1602*T1^8*T2^6 - 
      342*T1^9*T2^6 - 111*T1^10*T2^6 + 380*T1^11*T2^6 - 120*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 184*T1^2*T2^7 - 
      358*T1^3*T2^7 + 365*T1^4*T2^7 - 402*T1^5*T2^7 - 1224*T1^6*T2^7 + 
      1181*T1^7*T2^7 - 449*T1^8*T2^7 - 784*T1^9*T2^7 + 698*T1^10*T2^7 - 
      320*T1^11*T2^7 - 118*T1^12*T2^7 + 176*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 292*T1^3*T2^8 + 
      201*T1^4*T2^8 - 709*T1^5*T2^8 + 1602*T1^6*T2^8 - 449*T1^7*T2^8 - 
      1008*T1^8*T2^8 + 1321*T1^9*T2^8 - 630*T1^10*T2^8 - 139*T1^11*T2^8 + 
      297*T1^12*T2^8 - 148*T1^13*T2^8 - 70*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 184*T1^3*T2^9 - 
      238*T1^4*T2^9 + 410*T1^5*T2^9 - 342*T1^6*T2^9 - 784*T1^7*T2^9 + 
      1321*T1^8*T2^9 - 309*T1^9*T2^9 - 344*T1^10*T2^9 + 758*T1^11*T2^9 - 
      275*T1^12*T2^9 + 2*T1^13*T2^9 + 176*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 20*T1^3*T2^10 + 304*T1^4*T2^10 - 
      260*T1^5*T2^10 - 111*T1^6*T2^10 + 698*T1^7*T2^10 - 630*T1^8*T2^10 - 
      344*T1^9*T2^10 + 234*T1^10*T2^10 - 222*T1^11*T2^10 - 383*T1^12*T2^10 + 
      340*T1^13*T2^10 - 280*T1^14*T2^10 + 20*T1^15*T2^10 + 36*T1^16*T2^10 + 
      40*T1^3*T2^11 - 85*T1^4*T2^11 - 113*T1^5*T2^11 + 380*T1^6*T2^11 - 
      320*T1^7*T2^11 - 139*T1^8*T2^11 + 758*T1^9*T2^11 - 222*T1^10*T2^11 - 
      19*T1^11*T2^11 + 545*T1^12*T2^11 - 320*T1^13*T2^11 + 172*T1^14*T2^11 + 
      70*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 115*T1^5*T2^12 - 
      120*T1^6*T2^12 - 118*T1^7*T2^12 + 297*T1^8*T2^12 - 275*T1^9*T2^12 - 
      383*T1^10*T2^12 + 545*T1^11*T2^12 - 679*T1^12*T2^12 + 242*T1^13*T2^12 - 
      16*T1^14*T2^12 - 145*T1^15*T2^12 + 69*T1^16*T2^12 - 60*T1^6*T2^13 + 
      176*T1^7*T2^13 - 148*T1^8*T2^13 + 2*T1^9*T2^13 + 340*T1^10*T2^13 - 
      320*T1^11*T2^13 + 242*T1^12*T2^13 + 92*T1^13*T2^13 - 184*T1^14*T2^13 + 
      180*T1^15*T2^13 - 60*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 
      70*T1^8*T2^14 + 176*T1^9*T2^14 - 280*T1^10*T2^14 + 172*T1^11*T2^14 - 
      16*T1^12*T2^14 - 184*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 
      36*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 
      20*T1^10*T2^15 + 70*T1^11*T2^15 - 145*T1^12*T2^15 + 180*T1^13*T2^15 - 
      130*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 220] -> 
  {-(((1 - T + T^2)*(1 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + T^6))/T^4), 
   -((-7 + 21*T1 - 56*T1^3 + 91*T1^4 - 56*T1^5 + 21*T1^7 - 7*T1^8 + 21*T2 - 
      45*T1*T2 - 54*T1^2*T2 + 168*T1^3*T2 - 129*T1^4*T2 - 66*T1^5*T2 + 
      144*T1^6*T2 - 63*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 54*T1*T2^2 + 
      161*T1^2*T2^2 - T1^3*T2^2 - 420*T1^4*T2^2 + 683*T1^5*T2^2 - 
      420*T1^6*T2^2 - T1^7*T2^2 + 161*T1^8*T2^2 - 54*T1^9*T2^2 - 56*T2^3 + 
      168*T1*T2^3 - T1^2*T2^3 - 462*T1^3*T2^3 + 767*T1^4*T2^3 - 
      415*T1^5*T2^3 - 223*T1^6*T2^3 + 527*T1^7*T2^3 - 294*T1^8*T2^3 - 
      T1^9*T2^3 + 96*T1^10*T2^3 - 32*T1^11*T2^3 + 91*T2^4 - 129*T1*T2^4 - 
      420*T1^2*T2^4 + 767*T1^3*T2^4 - 205*T1^4*T2^4 - 1145*T1^5*T2^4 + 
      1685*T1^6*T2^4 - 1093*T1^7*T2^4 - 5*T1^8*T2^4 + 399*T1^9*T2^4 - 
      276*T1^10*T2^4 - 21*T1^11*T2^4 + 39*T1^12*T2^4 - 56*T2^5 - 66*T1*T2^5 + 
      683*T1^2*T2^5 - 415*T1^3*T2^5 - 1145*T1^4*T2^5 + 2503*T1^5*T2^5 - 
      1579*T1^6*T2^5 - 523*T1^7*T2^5 + 1613*T1^8*T2^5 - 846*T1^9*T2^5 - 
      95*T1^10*T2^5 + 332*T1^11*T2^5 - 69*T1^12*T2^5 - 16*T1^13*T2^5 + 
      144*T1*T2^6 - 420*T1^2*T2^6 - 223*T1^3*T2^6 + 1685*T1^4*T2^6 - 
      1579*T1^5*T2^6 - 736*T1^6*T2^6 + 2668*T1^7*T2^6 - 1792*T1^8*T2^6 - 
      235*T1^9*T2^6 + 917*T1^10*T2^6 - 223*T1^11*T2^6 - 132*T1^12*T2^6 + 
      48*T1^13*T2^6 + 21*T2^7 - 63*T1*T2^7 - T1^2*T2^7 + 527*T1^3*T2^7 - 
      1093*T1^4*T2^7 - 523*T1^5*T2^7 + 2668*T1^6*T2^7 - 2577*T1^7*T2^7 - 
      309*T1^8*T2^7 + 1836*T1^9*T2^7 - 1003*T1^10*T2^7 - 404*T1^11*T2^7 + 
      255*T1^12*T2^7 - T1^13*T2^7 - 7*T2^8 - 33*T1*T2^8 + 161*T1^2*T2^8 - 
      294*T1^3*T2^8 - 5*T1^4*T2^8 + 1613*T1^5*T2^8 - 1792*T1^6*T2^8 - 
      309*T1^7*T2^8 + 2772*T1^8*T2^8 - 2051*T1^9*T2^8 + 48*T1^10*T2^8 + 
      847*T1^11*T2^8 - 61*T1^12*T2^8 - 102*T1^13*T2^8 - T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 54*T1^2*T2^9 - T1^3*T2^9 + 
      399*T1^4*T2^9 - 846*T1^5*T2^9 - 235*T1^6*T2^9 + 1836*T1^7*T2^9 - 
      2051*T1^8*T2^9 + 217*T1^9*T2^9 + 1004*T1^10*T2^9 - 715*T1^11*T2^9 - 
      157*T1^12*T2^9 + 127*T1^13*T2^9 - T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 96*T1^3*T2^10 - 276*T1^4*T2^10 - 95*T1^5*T2^10 + 
      917*T1^6*T2^10 - 1003*T1^7*T2^10 + 48*T1^8*T2^10 + 1004*T1^9*T2^10 - 
      1008*T1^10*T2^10 + 341*T1^11*T2^10 + 149*T1^12*T2^10 - 95*T1^13*T2^10 + 
      12*T1^14*T2^10 - 32*T1^3*T2^11 - 21*T1^4*T2^11 + 332*T1^5*T2^11 - 
      223*T1^6*T2^11 - 404*T1^7*T2^11 + 847*T1^8*T2^11 - 715*T1^9*T2^11 + 
      341*T1^10*T2^11 - 43*T1^11*T2^11 - 105*T1^12*T2^11 + 97*T1^13*T2^11 - 
      19*T1^14*T2^11 - 24*T1^15*T2^11 + 8*T1^16*T2^11 + 39*T1^4*T2^12 - 
      69*T1^5*T2^12 - 132*T1^6*T2^12 + 255*T1^7*T2^12 - 61*T1^8*T2^12 - 
      157*T1^9*T2^12 + 149*T1^10*T2^12 - 105*T1^11*T2^12 + 139*T1^12*T2^12 - 
      113*T1^13*T2^12 + 12*T1^14*T2^12 + 39*T1^15*T2^12 - 13*T1^16*T2^12 - 
      16*T1^5*T2^13 + 48*T1^6*T2^13 - T1^7*T2^13 - 102*T1^8*T2^13 + 
      127*T1^9*T2^13 - 95*T1^10*T2^13 + 97*T1^11*T2^13 - 113*T1^12*T2^13 + 
      66*T1^13*T2^13 - T1^14*T2^13 - 24*T1^15*T2^13 + 8*T1^16*T2^13 - 
      T1^8*T2^14 - T1^9*T2^14 + 12*T1^10*T2^14 - 19*T1^11*T2^14 + 
      12*T1^12*T2^14 - T1^13*T2^14 - T1^14*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 - 24*T1^11*T2^15 + 39*T1^12*T2^15 - 24*T1^13*T2^15 + 
      9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      8*T1^11*T2^16 - 13*T1^12*T2^16 + 8*T1^13*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 221] -> {(1 - T + T^2)^2/T^2, 
   (-2*(T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
      T2^2 + 2*T1*T2^2 - T1^2*T2^2 - 2*T1^3*T2^2 + T1^4*T2^2 - 2*T1^5*T2^2 - 
      T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 - 2*T1^2*T2^3 + 
      2*T1^3*T2^3 - 2*T1^4*T2^3 + 3*T1^5*T2^3 - T1^6*T2^3 - T1^7*T2^3 - 
      2*T1^9*T2^3 + T2^4 + T1^2*T2^4 - 2*T1^3*T2^4 + 19*T1^4*T2^4 - 
      18*T1^5*T2^4 + 13*T1^6*T2^4 + 4*T1^7*T2^4 - 2*T1^8*T2^4 + T1^10*T2^4 + 
      2*T1*T2^5 - 2*T1^2*T2^5 + 3*T1^3*T2^5 - 18*T1^4*T2^5 - 4*T1^5*T2^5 + 
      2*T1^6*T2^5 - 18*T1^7*T2^5 + T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 - 
      T1^2*T2^6 - T1^3*T2^6 + 13*T1^4*T2^6 + 2*T1^5*T2^6 + 18*T1^6*T2^6 - 
      2*T1^7*T2^6 + 15*T1^8*T2^6 - T1^9*T2^6 - 3*T1^10*T2^6 - 2*T1^11*T2^6 + 
      2*T1^2*T2^7 - T1^3*T2^7 + 4*T1^4*T2^7 - 18*T1^5*T2^7 - 2*T1^6*T2^7 + 
      4*T1^7*T2^7 - 18*T1^8*T2^7 + T1^9*T2^7 + 2*T1^10*T2^7 + 2*T1^11*T2^7 + 
      T1^2*T2^8 - 2*T1^4*T2^8 + 15*T1^6*T2^8 - 18*T1^7*T2^8 + 9*T1^8*T2^8 + 
      6*T1^9*T2^8 - 5*T1^10*T2^8 + T1^12*T2^8 - 2*T1^3*T2^9 + T1^5*T2^9 - 
      T1^6*T2^9 + T1^7*T2^9 + 6*T1^8*T2^9 - 4*T1^9*T2^9 + 2*T1^10*T2^9 - 
      2*T1^12*T2^9 + T1^4*T2^10 + 2*T1^5*T2^10 - 3*T1^6*T2^10 + 
      2*T1^7*T2^10 - 5*T1^8*T2^10 + 2*T1^9*T2^10 - 3*T1^10*T2^10 + 
      2*T1^11*T2^10 + T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 
      2*T1^10*T2^11 - 2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + 
      T1^10*T2^12))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 222] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((-41 + 265*T1 - 610*T1^2 + 793*T1^3 - 610*T1^4 + 265*T1^5 - 41*T1^6 + 
      265*T2 - 1502*T1*T2 + 2561*T1^2*T2 - 1957*T1^3*T2 - 163*T1^4*T2 + 
      1443*T1^5*T2 - 1112*T1^6*T2 + 213*T1^7*T2 - 610*T2^2 + 2561*T1*T2^2 - 
      432*T1^2*T2^2 - 6516*T1^3*T2^2 + 12328*T1^4*T2^2 - 9636*T1^5*T2^2 + 
      2928*T1^6*T2^2 + 1001*T1^7*T2^2 - 370*T1^8*T2^2 + 793*T2^3 - 
      1957*T1*T2^3 - 6516*T1^2*T2^3 + 17046*T1^3*T2^3 - 16287*T1^4*T2^3 + 
      561*T1^5*T2^3 + 9870*T1^6*T2^3 - 7686*T1^7*T2^3 + 305*T1^8*T2^3 + 
      325*T1^9*T2^3 - 610*T2^4 - 163*T1*T2^4 + 12328*T1^2*T2^4 - 
      16287*T1^3*T2^4 + 1854*T1^4*T2^4 + 19532*T1^5*T2^4 - 17790*T1^6*T2^4 + 
      2745*T1^7*T2^4 + 6346*T1^8*T2^4 - 1255*T1^9*T2^4 - 130*T1^10*T2^4 + 
      265*T2^5 + 1443*T1*T2^5 - 9636*T1^2*T2^5 + 561*T1^3*T2^5 + 
      19532*T1^4*T2^5 - 27282*T1^5*T2^5 + 5088*T1^6*T2^5 + 13292*T1^7*T2^5 - 
      11919*T1^8*T2^5 - 666*T1^9*T2^5 + 793*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 1112*T1*T2^6 + 2928*T1^2*T2^6 + 9870*T1^3*T2^6 - 
      17790*T1^4*T2^6 + 5088*T1^5*T2^6 + 20940*T1^6*T2^6 - 23096*T1^7*T2^6 + 
      6966*T1^8*T2^6 + 5814*T1^9*T2^6 - 1540*T1^10*T2^6 - 72*T1^11*T2^6 + 
      7*T1^12*T2^6 + 213*T1*T2^7 + 1001*T1^2*T2^7 - 7686*T1^3*T2^7 + 
      2745*T1^4*T2^7 + 13292*T1^5*T2^7 - 23096*T1^6*T2^7 + 9274*T1^7*T2^7 + 
      7052*T1^8*T2^7 - 9735*T1^9*T2^7 + 1284*T1^10*T2^7 + 351*T1^11*T2^7 - 
      47*T1^12*T2^7 - 370*T1^2*T2^8 + 305*T1^3*T2^8 + 6346*T1^4*T2^8 - 
      11919*T1^5*T2^8 + 6966*T1^6*T2^8 + 7052*T1^7*T2^8 - 12678*T1^8*T2^8 + 
      7113*T1^9*T2^8 + 364*T1^10*T2^8 - 787*T1^11*T2^8 + 110*T1^12*T2^8 + 
      325*T1^3*T2^9 - 1255*T1^4*T2^9 - 666*T1^5*T2^9 + 5814*T1^6*T2^9 - 
      9735*T1^7*T2^9 + 7113*T1^8*T2^9 - 1362*T1^9*T2^9 - 1836*T1^10*T2^9 + 
      1007*T1^11*T2^9 - 143*T1^12*T2^9 - 130*T1^4*T2^10 + 793*T1^5*T2^10 - 
      1540*T1^6*T2^10 + 1284*T1^7*T2^10 + 364*T1^8*T2^10 - 1836*T1^9*T2^10 + 
      1820*T1^10*T2^10 - 767*T1^11*T2^10 + 110*T1^12*T2^10 + 5*T1^5*T2^11 - 
      72*T1^6*T2^11 + 351*T1^7*T2^11 - 787*T1^8*T2^11 + 1007*T1^9*T2^11 - 
      767*T1^10*T2^11 + 318*T1^11*T2^11 - 47*T1^12*T2^11 + 7*T1^6*T2^12 - 
      47*T1^7*T2^12 + 110*T1^8*T2^12 - 143*T1^9*T2^12 + 110*T1^10*T2^12 - 
      47*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 223] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-33 + 181*T1 - 428*T1^2 + 543*T1^3 - 428*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 854*T1*T2 + 1591*T1^2*T2 - 1197*T1^3*T2 + 101*T1^4*T2 + 
     777*T1^5*T2 - 568*T1^6*T2 + 137*T1^7*T2 - 428*T2^2 + 1591*T1*T2^2 - 
     1636*T1^2*T2^2 - 1510*T1^3*T2^2 + 3944*T1^4*T2^2 - 3798*T1^5*T2^2 + 
     860*T1^6*T2^2 + 447*T1^7*T2^2 - 220*T1^8*T2^2 + 543*T2^3 - 
     1197*T1*T2^3 - 1510*T1^2*T2^3 + 7662*T1^3*T2^3 - 7345*T1^4*T2^3 + 
     2203*T1^5*T2^3 + 4010*T1^6*T2^3 - 2940*T1^7*T2^3 + 409*T1^8*T2^3 + 
     147*T1^9*T2^3 - 428*T2^4 + 101*T1*T2^4 + 3944*T1^2*T2^4 - 
     7345*T1^3*T2^4 - 1118*T1^4*T2^4 + 9668*T1^5*T2^4 - 12098*T1^6*T2^4 + 
     3215*T1^7*T2^4 + 1366*T1^8*T2^4 - 735*T1^9*T2^4 - 12*T1^10*T2^4 + 
     181*T2^5 + 777*T1*T2^5 - 3798*T1^2*T2^5 + 2203*T1^3*T2^5 + 
     9668*T1^4*T2^5 - 13150*T1^5*T2^5 + 7156*T1^6*T2^5 + 5092*T1^7*T2^5 - 
     5321*T1^8*T2^5 + 1064*T1^9*T2^5 + 271*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 568*T1*T2^6 + 860*T1^2*T2^6 + 4010*T1^3*T2^6 - 
     12098*T1^4*T2^6 + 7156*T1^5*T2^6 + 3600*T1^6*T2^6 - 11236*T1^7*T2^6 + 
     5002*T1^8*T2^6 + 930*T1^9*T2^6 - 1136*T1^10*T2^6 + 136*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 447*T1^2*T2^7 - 2940*T1^3*T2^7 + 
     3215*T1^4*T2^7 + 5092*T1^5*T2^7 - 11236*T1^6*T2^7 + 9070*T1^7*T2^7 + 
     516*T1^8*T2^7 - 4309*T1^9*T2^7 + 1922*T1^10*T2^7 - 59*T1^11*T2^7 - 
     83*T1^12*T2^7 - 220*T1^2*T2^8 + 409*T1^3*T2^8 + 1366*T1^4*T2^8 - 
     5321*T1^5*T2^8 + 5002*T1^6*T2^8 + 516*T1^7*T2^8 - 5978*T1^8*T2^8 + 
     5239*T1^9*T2^8 - 1212*T1^10*T2^8 - 427*T1^11*T2^8 + 196*T1^12*T2^8 + 
     147*T1^3*T2^9 - 735*T1^4*T2^9 + 1064*T1^5*T2^9 + 930*T1^6*T2^9 - 
     4309*T1^7*T2^9 + 5239*T1^8*T2^9 - 2722*T1^9*T2^9 - 366*T1^10*T2^9 + 
     871*T1^11*T2^9 - 249*T1^12*T2^9 - 12*T1^4*T2^10 + 271*T1^5*T2^10 - 
     1136*T1^6*T2^10 + 1922*T1^7*T2^10 - 1212*T1^8*T2^10 - 366*T1^9*T2^10 + 
     1360*T1^10*T2^10 - 873*T1^11*T2^10 + 196*T1^12*T2^10 - 39*T1^5*T2^11 + 
     136*T1^6*T2^11 - 59*T1^7*T2^11 - 427*T1^8*T2^11 + 871*T1^9*T2^11 - 
     873*T1^10*T2^11 + 422*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 196*T1^8*T2^12 - 249*T1^9*T2^12 + 196*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 224] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-23 + 103*T1 - 204*T1^2 + 259*T1^3 - 204*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 398*T1*T2 + 627*T1^2*T2 - 579*T1^3*T2 + 159*T1^4*T2 + 
      141*T1^5*T2 - 200*T1^6*T2 + 67*T1^7*T2 - 204*T2^2 + 627*T1*T2^2 - 
      552*T1^2*T2^2 - 136*T1^3*T2^2 + 1144*T1^4*T2^2 - 1144*T1^5*T2^2 + 
      600*T1^6*T2^2 - 21*T1^7*T2^2 - 60*T1^8*T2^2 + 259*T2^3 - 579*T1*T2^3 - 
      136*T1^2*T2^3 + 1390*T1^3*T2^3 - 2117*T1^4*T2^3 + 799*T1^5*T2^3 + 
      466*T1^6*T2^3 - 838*T1^7*T2^3 + 339*T1^8*T2^3 - 17*T1^9*T2^3 - 
      204*T2^4 + 159*T1*T2^4 + 1144*T1^2*T2^4 - 2117*T1^3*T2^4 + 
      1166*T1^4*T2^4 + 1528*T1^5*T2^4 - 2326*T1^6*T2^4 + 1195*T1^7*T2^4 + 
      10*T1^8*T2^4 - 309*T1^9*T2^4 + 84*T1^10*T2^4 + 103*T2^5 + 141*T1*T2^5 - 
      1144*T1^2*T2^5 + 799*T1^3*T2^5 + 1528*T1^4*T2^5 - 3138*T1^5*T2^5 + 
      1704*T1^6*T2^5 + 880*T1^7*T2^5 - 1325*T1^8*T2^5 + 782*T1^9*T2^5 - 
      21*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 200*T1*T2^6 + 600*T1^2*T2^6 + 
      466*T1^3*T2^6 - 2326*T1^4*T2^6 + 1704*T1^5*T2^6 + 588*T1^6*T2^6 - 
      2400*T1^7*T2^6 + 1022*T1^8*T2^6 - 86*T1^9*T2^6 - 588*T1^10*T2^6 + 
      232*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 - 21*T1^2*T2^7 - 
      838*T1^3*T2^7 + 1195*T1^4*T2^7 + 880*T1^5*T2^7 - 2400*T1^6*T2^7 + 
      2442*T1^7*T2^7 + 232*T1^8*T2^7 - 929*T1^9*T2^7 + 1088*T1^10*T2^7 - 
      183*T1^11*T2^7 - 113*T1^12*T2^7 - 60*T1^2*T2^8 + 339*T1^3*T2^8 + 
      10*T1^4*T2^8 - 1325*T1^5*T2^8 + 1022*T1^6*T2^8 + 232*T1^7*T2^8 - 
      2470*T1^8*T2^8 + 1987*T1^9*T2^8 - 1124*T1^10*T2^8 - 129*T1^11*T2^8 + 
      228*T1^12*T2^8 - 17*T1^3*T2^9 - 309*T1^4*T2^9 + 782*T1^5*T2^9 - 
      86*T1^6*T2^9 - 929*T1^7*T2^9 + 1987*T1^8*T2^9 - 1010*T1^9*T2^9 + 
      80*T1^10*T2^9 + 609*T1^11*T2^9 - 293*T1^12*T2^9 + 84*T1^4*T2^10 - 
      21*T1^5*T2^10 - 588*T1^6*T2^10 + 1088*T1^7*T2^10 - 1124*T1^8*T2^10 + 
      80*T1^9*T2^10 + 564*T1^10*T2^10 - 669*T1^11*T2^10 + 228*T1^12*T2^10 - 
      77*T1^5*T2^11 + 232*T1^6*T2^11 - 183*T1^7*T2^11 - 129*T1^8*T2^11 + 
      609*T1^9*T2^11 - 669*T1^10*T2^11 + 430*T1^11*T2^11 - 113*T1^12*T2^11 + 
      25*T1^6*T2^12 - 113*T1^7*T2^12 + 228*T1^8*T2^12 - 293*T1^9*T2^12 + 
      228*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 225] -> 
  {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (-2*(-45 + 146*T1 - 185*T1^2 + 146*T1^3 - 45*T1^4 + 146*T2 - 374*T1*T2 + 
      276*T1^2*T2 - 69*T1^3*T2 - 179*T1^4*T2 + 101*T1^5*T2 - 185*T2^2 + 
      276*T1*T2^2 + 237*T1^2*T2^2 - 524*T1^3*T2^2 + 627*T1^4*T2^2 - 
      114*T1^5*T2^2 - 68*T1^6*T2^2 + 146*T2^3 - 69*T1*T2^3 - 524*T1^2*T2^3 + 
      530*T1^3*T2^3 - 380*T1^4*T2^3 - 264*T1^5*T2^3 + 186*T1^6*T2^3 + 
      11*T1^7*T2^3 - 45*T2^4 - 179*T1*T2^4 + 627*T1^2*T2^4 - 380*T1^3*T2^4 + 
      66*T1^4*T2^4 + 440*T1^5*T2^4 - 139*T1^6*T2^4 - 59*T1^7*T2^4 + 
      9*T1^8*T2^4 + 101*T1*T2^5 - 114*T1^2*T2^5 - 264*T1^3*T2^5 + 
      440*T1^4*T2^5 - 470*T1^5*T2^5 - 4*T1^6*T2^5 + 141*T1^7*T2^5 - 
      34*T1^8*T2^5 - 68*T1^2*T2^6 + 186*T1^3*T2^6 - 139*T1^4*T2^6 - 
      4*T1^5*T2^6 + 251*T1^6*T2^6 - 204*T1^7*T2^6 + 49*T1^8*T2^6 + 
      11*T1^3*T2^7 - 59*T1^4*T2^7 + 141*T1^5*T2^7 - 204*T1^6*T2^7 + 
      136*T1^7*T2^7 - 34*T1^8*T2^7 + 9*T1^4*T2^8 - 34*T1^5*T2^8 + 
      49*T1^6*T2^8 - 34*T1^7*T2^8 + 9*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 226] -> 
  {(1 - 5*T + 11*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 84*T1^3 - 90*T1^4 + 84*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 145*T1^3*T2 + 100*T1^4*T2 - 
     45*T1^5*T2 - 20*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 235*T1^3*T2^2 + 290*T1^4*T2^2 - 
     352*T1^5*T2^2 + 378*T1^6*T2^2 - 433*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 84*T2^3 - 145*T1*T2^3 - 235*T1^2*T2^3 + 
     799*T1^3*T2^3 - 409*T1^4*T2^3 + 336*T1^5*T2^3 - 209*T1^6*T2^3 + 
     126*T1^7*T2^3 + 549*T1^8*T2^3 - 367*T1^9*T2^3 + 10*T1^10*T2^3 + 
     42*T1^11*T2^3 - 90*T2^4 + 100*T1*T2^4 + 290*T1^2*T2^4 - 409*T1^3*T2^4 - 
     688*T1^4*T2^4 + 646*T1^5*T2^4 - 728*T1^6*T2^4 + 666*T1^7*T2^4 - 
     1108*T1^8*T2^4 + 151*T1^9*T2^4 + 250*T1^10*T2^4 - 60*T1^11*T2^4 - 
     30*T1^12*T2^4 + 84*T2^5 - 45*T1*T2^5 - 352*T1^2*T2^5 + 336*T1^3*T2^5 + 
     646*T1^4*T2^5 - 19*T1^5*T2^5 + 16*T1^6*T2^5 + 55*T1^7*T2^5 + 
     381*T1^8*T2^5 + 507*T1^9*T2^5 - 235*T1^10*T2^5 - 151*T1^11*T2^5 + 
     80*T1^12*T2^5 + 14*T1^13*T2^5 - 66*T2^6 - 20*T1*T2^6 + 378*T1^2*T2^6 - 
     209*T1^3*T2^6 - 728*T1^4*T2^6 + 16*T1^5*T2^6 - 277*T1^6*T2^6 + 
     417*T1^7*T2^6 - 817*T1^8*T2^6 + 42*T1^9*T2^6 - 358*T1^10*T2^6 + 
     297*T1^11*T2^6 + 34*T1^12*T2^6 - 70*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     433*T1^2*T2^7 + 126*T1^3*T2^7 + 666*T1^4*T2^7 + 55*T1^5*T2^7 + 
     417*T1^6*T2^7 - 634*T1^7*T2^7 + 636*T1^8*T2^7 + 167*T1^9*T2^7 - 
     10*T1^10*T2^7 + 169*T1^11*T2^7 - 309*T1^12*T2^7 + 95*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     549*T1^3*T2^8 - 1108*T1^4*T2^8 + 381*T1^5*T2^8 - 817*T1^6*T2^8 + 
     636*T1^7*T2^8 + 48*T1^8*T2^8 - 692*T1^9*T2^8 + 419*T1^10*T2^8 - 
     337*T1^11*T2^8 + 276*T1^12*T2^8 + 59*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     367*T1^3*T2^9 + 151*T1^4*T2^9 + 507*T1^5*T2^9 + 42*T1^6*T2^9 + 
     167*T1^7*T2^9 - 692*T1^8*T2^9 + 578*T1^9*T2^9 - 83*T1^10*T2^9 - 
     23*T1^11*T2^9 + 10*T1^12*T2^9 - 284*T1^13*T2^9 + 161*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 + 10*T1^3*T2^10 + 
     250*T1^4*T2^10 - 235*T1^5*T2^10 - 358*T1^6*T2^10 - 10*T1^7*T2^10 + 
     419*T1^8*T2^10 - 83*T1^9*T2^10 - 121*T1^10*T2^10 + 16*T1^11*T2^10 + 
     12*T1^12*T2^10 + 271*T1^13*T2^10 - 94*T1^14*T2^10 - 40*T1^15*T2^10 + 
     22*T1^16*T2^10 + 42*T1^3*T2^11 - 60*T1^4*T2^11 - 151*T1^5*T2^11 + 
     297*T1^6*T2^11 + 169*T1^7*T2^11 - 337*T1^8*T2^11 - 23*T1^9*T2^11 + 
     16*T1^10*T2^11 + 63*T1^11*T2^11 + 30*T1^12*T2^11 - 274*T1^13*T2^11 + 
     50*T1^14*T2^11 + 65*T1^15*T2^11 - 28*T1^16*T2^11 - 30*T1^4*T2^12 + 
     80*T1^5*T2^12 + 34*T1^6*T2^12 - 309*T1^7*T2^12 + 276*T1^8*T2^12 + 
     10*T1^9*T2^12 + 12*T1^10*T2^12 + 30*T1^11*T2^12 - 144*T1^12*T2^12 + 
     251*T1^13*T2^12 - 6*T1^14*T2^12 - 80*T1^15*T2^12 + 30*T1^16*T2^12 + 
     14*T1^5*T2^13 - 70*T1^6*T2^13 + 95*T1^7*T2^13 + 59*T1^8*T2^13 - 
     284*T1^9*T2^13 + 271*T1^10*T2^13 - 274*T1^11*T2^13 + 251*T1^12*T2^13 - 
     191*T1^13*T2^13 - 37*T1^14*T2^13 + 85*T1^15*T2^13 - 28*T1^16*T2^13 + 
     25*T1^7*T2^14 - 102*T1^8*T2^14 + 161*T1^9*T2^14 - 94*T1^10*T2^14 + 
     50*T1^11*T2^14 - 6*T1^12*T2^14 - 37*T1^13*T2^14 + 118*T1^14*T2^14 - 
     85*T1^15*T2^14 + 22*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     5*T1^9*T2^15 - 40*T1^10*T2^15 + 65*T1^11*T2^15 - 80*T1^12*T2^15 + 
     85*T1^13*T2^15 - 85*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 22*T1^10*T2^16 - 28*T1^11*T2^16 + 
     30*T1^12*T2^16 - 28*T1^13*T2^16 + 22*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 227] -> 
  {-((1 - 5*T + 13*T^2 - 24*T^3 + 29*T^4 - 24*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 39*T1^2 + 72*T1^3 - 87*T1^4 + 72*T1^5 - 39*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 145*T1^2*T2 - 230*T1^3*T2 + 
      195*T1^4*T2 - 70*T1^5*T2 - 45*T1^6*T2 + 55*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 39*T2^2 + 145*T1*T2^2 - 271*T1^2*T2^2 + 359*T1^3*T2^2 - 
      121*T1^4*T2^2 - 171*T1^5*T2^2 + 295*T1^6*T2^2 - 135*T1^7*T2^2 + 
      41*T1^8*T2^2 + 15*T1^9*T2^2 - 13*T1^10*T2^2 + 72*T2^3 - 230*T1*T2^3 + 
      359*T1^2*T2^3 - 407*T1^3*T2^3 - 113*T1^4*T2^3 + 429*T1^5*T2^3 - 
      352*T1^6*T2^3 - 156*T1^7*T2^3 + 223*T1^8*T2^3 - 187*T1^9*T2^3 + 
      65*T1^10*T2^3 - 87*T2^4 + 195*T1*T2^4 - 121*T1^2*T2^4 - 113*T1^3*T2^4 + 
      1058*T1^4*T2^4 - 1105*T1^5*T2^4 + 456*T1^6*T2^4 + 531*T1^7*T2^4 - 
      254*T1^8*T2^4 - 17*T1^9*T2^4 + 187*T1^10*T2^4 - 145*T1^11*T2^4 + 
      29*T1^12*T2^4 + 72*T2^5 - 70*T1*T2^5 - 171*T1^2*T2^5 + 429*T1^3*T2^5 - 
      1105*T1^4*T2^5 + 91*T1^5*T2^5 + 1101*T1^6*T2^5 - 1500*T1^7*T2^5 - 
      155*T1^8*T2^5 + 674*T1^9*T2^5 - 474*T1^10*T2^5 + 132*T1^11*T2^5 + 
      95*T1^12*T2^5 - 48*T1^13*T2^5 - 39*T2^6 - 45*T1*T2^6 + 295*T1^2*T2^6 - 
      352*T1^3*T2^6 + 456*T1^4*T2^6 + 1101*T1^5*T2^6 - 1478*T1^6*T2^6 + 
      20*T1^7*T2^6 + 2402*T1^8*T2^6 - 1657*T1^9*T2^6 + 246*T1^10*T2^6 + 
      246*T1^11*T2^6 - 337*T1^12*T2^6 + 45*T1^13*T2^6 + 39*T1^14*T2^6 + 
      15*T2^7 + 55*T1*T2^7 - 135*T1^2*T2^7 - 156*T1^3*T2^7 + 531*T1^4*T2^7 - 
      1500*T1^5*T2^7 + 20*T1^6*T2^7 + 3270*T1^7*T2^7 - 4626*T1^8*T2^7 + 
      1618*T1^9*T2^7 + 787*T1^10*T2^7 - 676*T1^11*T2^7 + 443*T1^12*T2^7 + 
      99*T1^13*T2^7 - 95*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      41*T1^2*T2^8 + 223*T1^3*T2^8 - 254*T1^4*T2^8 - 155*T1^5*T2^8 + 
      2402*T1^6*T2^8 - 4626*T1^7*T2^8 + 2112*T1^8*T2^8 + 2722*T1^9*T2^8 - 
      4054*T1^10*T2^8 + 1603*T1^11*T2^8 - 594*T1^12*T2^8 - 247*T1^13*T2^8 + 
      71*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      15*T1^2*T2^9 - 187*T1^3*T2^9 - 17*T1^4*T2^9 + 674*T1^5*T2^9 - 
      1657*T1^6*T2^9 + 1618*T1^7*T2^9 + 2722*T1^8*T2^9 - 5174*T1^9*T2^9 + 
      3216*T1^10*T2^9 + 630*T1^11*T2^9 - 533*T1^12*T2^9 + 582*T1^13*T2^9 + 
      47*T1^14*T2^9 - 135*T1^15*T2^9 - 25*T1^16*T2^9 - 13*T1^2*T2^10 + 
      65*T1^3*T2^10 + 187*T1^4*T2^10 - 474*T1^5*T2^10 + 246*T1^6*T2^10 + 
      787*T1^7*T2^10 - 4054*T1^8*T2^10 + 3216*T1^9*T2^10 - 174*T1^10*T2^10 - 
      1971*T1^11*T2^10 + 36*T1^12*T2^10 + 124*T1^13*T2^10 - 445*T1^14*T2^10 + 
      155*T1^15*T2^10 + 65*T1^16*T2^10 - 145*T1^4*T2^11 + 132*T1^5*T2^11 + 
      246*T1^6*T2^11 - 676*T1^7*T2^11 + 1603*T1^8*T2^11 + 630*T1^9*T2^11 - 
      1971*T1^10*T2^11 + 1357*T1^11*T2^11 + 1103*T1^12*T2^11 - 
      657*T1^13*T2^11 + 435*T1^14*T2^11 + 20*T1^15*T2^11 - 120*T1^16*T2^11 + 
      29*T1^4*T2^12 + 95*T1^5*T2^12 - 337*T1^6*T2^12 + 443*T1^7*T2^12 - 
      594*T1^8*T2^12 - 533*T1^9*T2^12 + 36*T1^10*T2^12 + 1103*T1^11*T2^12 - 
      1906*T1^12*T2^12 + 539*T1^13*T2^12 - 29*T1^14*T2^12 - 245*T1^15*T2^12 + 
      145*T1^16*T2^12 - 48*T1^5*T2^13 + 45*T1^6*T2^13 + 99*T1^7*T2^13 - 
      247*T1^8*T2^13 + 582*T1^9*T2^13 + 124*T1^10*T2^13 - 657*T1^11*T2^13 + 
      539*T1^12*T2^13 + 383*T1^13*T2^13 - 447*T1^14*T2^13 + 340*T1^15*T2^13 - 
      120*T1^16*T2^13 + 39*T1^6*T2^14 - 95*T1^7*T2^14 + 71*T1^8*T2^14 + 
      47*T1^9*T2^14 - 445*T1^10*T2^14 + 435*T1^11*T2^14 - 29*T1^12*T2^14 - 
      447*T1^13*T2^14 + 383*T1^14*T2^14 - 225*T1^15*T2^14 + 65*T1^16*T2^14 - 
      20*T1^7*T2^15 + 75*T1^8*T2^15 - 135*T1^9*T2^15 + 155*T1^10*T2^15 + 
      20*T1^11*T2^15 - 245*T1^12*T2^15 + 340*T1^13*T2^15 - 225*T1^14*T2^15 + 
      105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 
      65*T1^10*T2^16 - 120*T1^11*T2^16 + 145*T1^12*T2^16 - 120*T1^13*T2^16 + 
      65*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 228] -> 
  {-((1 - 3*T - T^2 + 12*T^3 - 19*T^4 + 12*T^5 - T^6 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 + 7*T1^2 - 84*T1^3 + 133*T1^4 - 84*T1^5 + 7*T1^6 + 21*T1^7 - 
      7*T1^8 + 21*T2 - 45*T1*T2 - 75*T1^2*T2 + 234*T1^3*T2 - 183*T1^4*T2 - 
      90*T1^5*T2 + 195*T1^6*T2 - 81*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 + 
      7*T2^2 - 75*T1*T2^2 + 160*T1^2*T2^2 + 115*T1^3*T2^2 - 756*T1^4*T2^2 + 
      1128*T1^5*T2^2 - 720*T1^6*T2^2 + 85*T1^7*T2^2 + 164*T1^8*T2^2 - 
      69*T1^9*T2^2 + 5*T1^10*T2^2 - 84*T2^3 + 234*T1*T2^3 + 115*T1^2*T2^3 - 
      939*T1^3*T2^3 + 1415*T1^4*T2^3 - 732*T1^5*T2^3 - 357*T1^6*T2^3 + 
      878*T1^7*T2^3 - 537*T1^8*T2^3 + 67*T1^9*T2^3 + 129*T1^10*T2^3 - 
      48*T1^11*T2^3 + 133*T2^4 - 183*T1*T2^4 - 756*T1^2*T2^4 + 
      1415*T1^3*T2^4 - 201*T1^4*T2^4 - 2549*T1^5*T2^4 + 3629*T1^6*T2^4 - 
      2393*T1^7*T2^4 + 239*T1^8*T2^4 + 647*T1^9*T2^4 - 464*T1^10*T2^4 - 
      27*T1^11*T2^4 + 57*T1^12*T2^4 - 84*T2^5 - 90*T1*T2^5 + 1128*T1^2*T2^5 - 
      732*T1^3*T2^5 - 2549*T1^4*T2^5 + 5619*T1^5*T2^5 - 3742*T1^6*T2^5 - 
      1027*T1^7*T2^5 + 3387*T1^8*T2^5 - 1832*T1^9*T2^5 - 135*T1^10*T2^5 + 
      543*T1^11*T2^5 - 99*T1^12*T2^5 - 24*T1^13*T2^5 + 7*T2^6 + 195*T1*T2^6 - 
      720*T1^2*T2^6 - 357*T1^3*T2^6 + 3629*T1^4*T2^6 - 3742*T1^5*T2^6 - 
      1804*T1^6*T2^6 + 6898*T1^7*T2^6 - 4636*T1^8*T2^6 - 364*T1^9*T2^6 + 
      1939*T1^10*T2^6 - 399*T1^11*T2^6 - 244*T1^12*T2^6 + 69*T1^13*T2^6 + 
      T1^14*T2^6 + 21*T2^7 - 81*T1*T2^7 + 85*T1^2*T2^7 + 878*T1^3*T2^7 - 
      2393*T1^4*T2^7 - 1027*T1^5*T2^7 + 6898*T1^6*T2^7 - 7232*T1^7*T2^7 - 
      518*T1^8*T2^7 + 4696*T1^9*T2^7 - 2416*T1^10*T2^7 - 866*T1^11*T2^7 + 
      491*T1^12*T2^7 + 25*T1^13*T2^7 - 3*T1^14*T2^7 - 7*T2^8 - 33*T1*T2^8 + 
      164*T1^2*T2^8 - 537*T1^3*T2^8 + 239*T1^4*T2^8 + 3387*T1^5*T2^8 - 
      4636*T1^6*T2^8 - 518*T1^7*T2^8 + 7512*T1^8*T2^8 - 5774*T1^9*T2^8 + 
      244*T1^10*T2^8 + 1929*T1^11*T2^8 - 133*T1^12*T2^8 - 219*T1^13*T2^8 - 
      2*T1^14*T2^8 - 3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 69*T1^2*T2^9 + 
      67*T1^3*T2^9 + 647*T1^4*T2^9 - 1832*T1^5*T2^9 - 364*T1^6*T2^9 + 
      4696*T1^7*T2^9 - 5774*T1^8*T2^9 + 940*T1^9*T2^9 + 2494*T1^10*T2^9 - 
      1753*T1^11*T2^9 - 305*T1^12*T2^9 + 260*T1^13*T2^9 + 7*T1^14*T2^9 + 
      9*T1^15*T2^9 - 3*T1^16*T2^9 + 5*T1^2*T2^10 + 129*T1^3*T2^10 - 
      464*T1^4*T2^10 - 135*T1^5*T2^10 + 1939*T1^6*T2^10 - 2416*T1^7*T2^10 + 
      244*T1^8*T2^10 + 2494*T1^9*T2^10 - 2588*T1^10*T2^10 + 962*T1^11*T2^10 + 
      249*T1^12*T2^10 - 177*T1^13*T2^10 + 12*T1^14*T2^10 + 3*T1^15*T2^10 - 
      T1^16*T2^10 - 48*T1^3*T2^11 - 27*T1^4*T2^11 + 543*T1^5*T2^11 - 
      399*T1^6*T2^11 - 866*T1^7*T2^11 + 1929*T1^8*T2^11 - 1753*T1^9*T2^11 + 
      962*T1^10*T2^11 - 303*T1^11*T2^11 - 149*T1^12*T2^11 + 198*T1^13*T2^11 - 
      42*T1^14*T2^11 - 36*T1^15*T2^11 + 12*T1^16*T2^11 + 57*T1^4*T2^12 - 
      99*T1^5*T2^12 - 244*T1^6*T2^12 + 491*T1^7*T2^12 - 133*T1^8*T2^12 - 
      305*T1^9*T2^12 + 249*T1^10*T2^12 - 149*T1^11*T2^12 + 307*T1^12*T2^12 - 
      277*T1^13*T2^12 + 48*T1^14*T2^12 + 57*T1^15*T2^12 - 19*T1^16*T2^12 - 
      24*T1^5*T2^13 + 69*T1^6*T2^13 + 25*T1^7*T2^13 - 219*T1^8*T2^13 + 
      260*T1^9*T2^13 - 177*T1^10*T2^13 + 198*T1^11*T2^13 - 277*T1^12*T2^13 + 
      183*T1^13*T2^13 - 23*T1^14*T2^13 - 36*T1^15*T2^13 + 12*T1^16*T2^13 + 
      T1^6*T2^14 - 3*T1^7*T2^14 - 2*T1^8*T2^14 + 7*T1^9*T2^14 + 
      12*T1^10*T2^14 - 42*T1^11*T2^14 + 48*T1^12*T2^14 - 23*T1^13*T2^14 + 
      2*T1^14*T2^14 + 3*T1^15*T2^14 - T1^16*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 + 3*T1^10*T2^15 - 36*T1^11*T2^15 + 57*T1^12*T2^15 - 
      36*T1^13*T2^15 + 3*T1^14*T2^15 + 9*T1^15*T2^15 - 3*T1^16*T2^15 + 
      T1^8*T2^16 - 3*T1^9*T2^16 - T1^10*T2^16 + 12*T1^11*T2^16 - 
      19*T1^12*T2^16 + 12*T1^13*T2^16 - T1^14*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 229] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + T^6))/T^4), 
   -((-7 + 35*T1 - 56*T1^2 + 56*T1^3 - 49*T1^4 + 56*T1^5 - 56*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 130*T1^2*T2 - 40*T1^3*T2 + 
      5*T1^4*T2 - 70*T1^5*T2 + 40*T1^6*T2 + 65*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 56*T2^2 + 130*T1*T2^2 + 258*T1^2*T2^2 - 544*T1^3*T2^2 + 
      472*T1^4*T2^2 - 262*T1^5*T2^2 + 456*T1^6*T2^2 - 592*T1^7*T2^2 + 
      370*T1^8*T2^2 + 50*T1^9*T2^2 - 40*T1^10*T2^2 + 56*T2^3 - 40*T1*T2^3 - 
      544*T1^2*T2^3 + 514*T1^3*T2^3 - 98*T1^4*T2^3 - 106*T1^5*T2^3 - 
      322*T1^6*T2^3 + 254*T1^7*T2^3 + 210*T1^8*T2^3 - 496*T1^9*T2^3 + 
      40*T1^10*T2^3 + 32*T1^11*T2^3 - 49*T2^4 + 5*T1*T2^4 + 472*T1^2*T2^4 - 
      98*T1^3*T2^4 - 251*T1^4*T2^4 + 175*T1^5*T2^4 + 299*T1^6*T2^4 + 
      11*T1^7*T2^4 - 323*T1^8*T2^4 + 238*T1^9*T2^4 + 296*T1^10*T2^4 - 
      55*T1^11*T2^4 - 21*T1^12*T2^4 + 56*T2^5 - 70*T1*T2^5 - 262*T1^2*T2^5 - 
      106*T1^3*T2^5 + 175*T1^4*T2^5 - 17*T1^5*T2^5 - 268*T1^6*T2^5 - 
      68*T1^7*T2^5 + 107*T1^8*T2^5 + 8*T1^9*T2^5 - 242*T1^10*T2^5 - 
      121*T1^11*T2^5 + 25*T1^12*T2^5 + 16*T1^13*T2^5 - 56*T2^6 + 40*T1*T2^6 + 
      456*T1^2*T2^6 - 322*T1^3*T2^6 + 299*T1^4*T2^6 - 268*T1^5*T2^6 + 
      416*T1^6*T2^6 - 200*T1^7*T2^6 + 160*T1^8*T2^6 - 28*T1^9*T2^6 + 
      139*T1^10*T2^6 + 14*T1^11*T2^6 + 152*T1^12*T2^6 - 40*T1^13*T2^6 - 
      8*T1^14*T2^6 + 35*T2^7 + 65*T1*T2^7 - 592*T1^2*T2^7 + 254*T1^3*T2^7 + 
      11*T1^4*T2^7 - 68*T1^5*T2^7 - 200*T1^6*T2^7 + 131*T1^7*T2^7 - 
      27*T1^8*T2^7 - 88*T1^9*T2^7 - 188*T1^10*T2^7 + 166*T1^11*T2^7 - 
      162*T1^12*T2^7 - 64*T1^13*T2^7 + 40*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 
      370*T1^2*T2^8 + 210*T1^3*T2^8 - 323*T1^4*T2^8 + 107*T1^5*T2^8 + 
      160*T1^6*T2^8 - 27*T1^7*T2^8 - 108*T1^8*T2^8 + 87*T1^9*T2^8 + 
      176*T1^10*T2^8 - 59*T1^11*T2^8 - 59*T1^12*T2^8 + 194*T1^13*T2^8 - 
      60*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 30*T1*T2^9 + 50*T1^2*T2^9 - 
      496*T1^3*T2^9 + 238*T1^4*T2^9 + 8*T1^5*T2^9 - 28*T1^6*T2^9 - 
      88*T1^7*T2^9 + 87*T1^8*T2^9 - 71*T1^9*T2^9 + 24*T1^10*T2^9 - 
      148*T1^11*T2^9 + 163*T1^12*T2^9 - 178*T1^13*T2^9 + 32*T1^14*T2^9 + 
      25*T1^15*T2^9 - 5*T1^16*T2^9 - 40*T1^2*T2^10 + 40*T1^3*T2^10 + 
      296*T1^4*T2^10 - 242*T1^5*T2^10 + 139*T1^6*T2^10 - 188*T1^7*T2^10 + 
      176*T1^8*T2^10 + 24*T1^9*T2^10 - 80*T1^10*T2^10 + 52*T1^11*T2^10 - 
      21*T1^12*T2^10 + 94*T1^13*T2^10 - 8*T1^14*T2^10 - 40*T1^15*T2^10 + 
      8*T1^16*T2^10 + 32*T1^3*T2^11 - 55*T1^4*T2^11 - 121*T1^5*T2^11 + 
      14*T1^6*T2^11 + 166*T1^7*T2^11 - 59*T1^8*T2^11 - 148*T1^9*T2^11 + 
      52*T1^10*T2^11 + 65*T1^11*T2^11 - T1^12*T2^11 - 122*T1^13*T2^11 + 
      20*T1^14*T2^11 + 40*T1^15*T2^11 - 8*T1^16*T2^11 - 21*T1^4*T2^12 + 
      25*T1^5*T2^12 + 152*T1^6*T2^12 - 162*T1^7*T2^12 - 59*T1^8*T2^12 + 
      163*T1^9*T2^12 - 21*T1^10*T2^12 - T1^11*T2^12 - 131*T1^12*T2^12 + 
      174*T1^13*T2^12 - 24*T1^14*T2^12 - 35*T1^15*T2^12 + 7*T1^16*T2^12 + 
      16*T1^5*T2^13 - 40*T1^6*T2^13 - 64*T1^7*T2^13 + 194*T1^8*T2^13 - 
      178*T1^9*T2^13 + 94*T1^10*T2^13 - 122*T1^11*T2^13 + 174*T1^12*T2^13 - 
      110*T1^13*T2^13 - 16*T1^14*T2^13 + 40*T1^15*T2^13 - 8*T1^16*T2^13 - 
      8*T1^6*T2^14 + 40*T1^7*T2^14 - 60*T1^8*T2^14 + 32*T1^9*T2^14 - 
      8*T1^10*T2^14 + 20*T1^11*T2^14 - 24*T1^12*T2^14 - 16*T1^13*T2^14 + 
      52*T1^14*T2^14 - 40*T1^15*T2^14 + 8*T1^16*T2^14 - 5*T1^8*T2^15 + 
      25*T1^9*T2^15 - 40*T1^10*T2^15 + 40*T1^11*T2^15 - 35*T1^12*T2^15 + 
      40*T1^13*T2^15 - 40*T1^14*T2^15 + 25*T1^15*T2^15 - 5*T1^16*T2^15 + 
      T1^8*T2^16 - 5*T1^9*T2^16 + 8*T1^10*T2^16 - 8*T1^11*T2^16 + 
      7*T1^12*T2^16 - 8*T1^13*T2^16 + 8*T1^14*T2^16 - 5*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 230] -> 
  {(1 - 4*T + 4*T^2 - T^3 + 4*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 16*T1^2 + 4*T1^3 - 16*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 16*T1^2*T2 + 32*T1^3*T2 + 52*T1^4*T2 - 16*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 16*T2^2 + 16*T1*T2^2 + 116*T1^2*T2^2 - 
     132*T1^3*T2^2 - 60*T1^4*T2^2 - 108*T1^5*T2^2 + 140*T1^6*T2^2 - 
     16*T1^7*T2^2 - 8*T1^8*T2^2 + 4*T2^3 + 32*T1*T2^3 - 132*T1^2*T2^3 + 
     39*T1^3*T2^3 + 89*T1^4*T2^3 + 145*T1^5*T2^3 - 83*T1^6*T2^3 - 
     64*T1^7*T2^3 + 28*T1^8*T2^3 + T1^9*T2^3 - 16*T2^4 + 52*T1*T2^4 - 
     60*T1^2*T2^4 + 89*T1^3*T2^4 - 110*T1^4*T2^4 + 22*T1^5*T2^4 - 
     38*T1^6*T2^4 + 97*T1^7*T2^4 - 28*T1^8*T2^4 - 4*T1^9*T2^4 + 16*T2^5 - 
     16*T1*T2^5 - 108*T1^2*T2^5 + 145*T1^3*T2^5 + 22*T1^4*T2^5 + 
     82*T1^5*T2^5 - 182*T1^6*T2^5 + 6*T1^7*T2^5 - 7*T1^8*T2^5 + 
     16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 140*T1^2*T2^6 - 
     83*T1^3*T2^6 - 38*T1^4*T2^6 - 182*T1^5*T2^6 + 156*T1^6*T2^6 + 
     82*T1^7*T2^6 + 18*T1^8*T2^6 + 39*T1^9*T2^6 - 60*T1^10*T2^6 + 
     8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 - 16*T1^2*T2^7 - 64*T1^3*T2^7 + 
     97*T1^4*T2^7 + 6*T1^5*T2^7 + 82*T1^6*T2^7 - 182*T1^7*T2^7 - 
     10*T1^8*T2^7 - 55*T1^9*T2^7 + 44*T1^10*T2^7 + 16*T1^11*T2^7 - 
     8*T1^12*T2^7 - 8*T1^2*T2^8 + 28*T1^3*T2^8 - 28*T1^4*T2^8 - 7*T1^5*T2^8 + 
     18*T1^6*T2^8 - 10*T1^7*T2^8 + 90*T1^8*T2^8 + T1^9*T2^8 + 4*T1^10*T2^8 - 
     28*T1^11*T2^8 + 8*T1^12*T2^8 + T1^3*T2^9 - 4*T1^4*T2^9 + 39*T1^6*T2^9 - 
     55*T1^7*T2^9 + T1^8*T2^9 - 83*T1^9*T2^9 + 68*T1^10*T2^9 - 8*T1^11*T2^9 - 
     2*T1^12*T2^9 + 16*T1^5*T2^10 - 60*T1^6*T2^10 + 44*T1^7*T2^10 + 
     4*T1^8*T2^10 + 68*T1^9*T2^10 - 36*T1^10*T2^10 - 16*T1^11*T2^10 + 
     8*T1^12*T2^10 - 4*T1^5*T2^11 + 8*T1^6*T2^11 + 16*T1^7*T2^11 - 
     28*T1^8*T2^11 - 8*T1^9*T2^11 - 16*T1^10*T2^11 + 28*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 8*T1^8*T2^12 - 
     2*T1^9*T2^12 + 8*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 231] -> 
  {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   (T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 2*T1^2*T2 + 2*T1^5*T2 - 2*T1^6*T2 + 
     T2^2 + 2*T1*T2^2 + 5*T1^2*T2^2 - 29*T1^3*T2^2 + 43*T1^4*T2^2 - 
     29*T1^5*T2^2 + 5*T1^6*T2^2 + 2*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 - 
     29*T1^2*T2^3 + 118*T1^3*T2^3 - 186*T1^4*T2^3 + 118*T1^5*T2^3 - 
     42*T1^6*T2^3 + 3*T1^7*T2^3 - 2*T1^9*T2^3 + T2^4 + 43*T1^2*T2^4 - 
     186*T1^3*T2^4 + 290*T1^4*T2^4 - 44*T1^5*T2^4 - 106*T1^6*T2^4 + 
     166*T1^7*T2^4 - 45*T1^8*T2^4 + T1^10*T2^4 + 2*T1*T2^5 - 29*T1^2*T2^5 + 
     118*T1^3*T2^5 - 44*T1^4*T2^5 - 572*T1^5*T2^5 + 620*T1^6*T2^5 - 
     396*T1^7*T2^5 - 90*T1^8*T2^5 + 67*T1^9*T2^5 + 2*T1^10*T2^5 - 2*T1*T2^6 + 
     5*T1^2*T2^6 - 42*T1^3*T2^6 - 106*T1^4*T2^6 + 620*T1^5*T2^6 - 
     96*T1^6*T2^6 - 404*T1^7*T2^6 + 742*T1^8*T2^6 - 170*T1^9*T2^6 - 
     27*T1^10*T2^6 - 2*T1^11*T2^6 + 2*T1^2*T2^7 + 3*T1^3*T2^7 + 
     166*T1^4*T2^7 - 396*T1^5*T2^7 - 404*T1^6*T2^7 + 788*T1^7*T2^7 - 
     748*T1^8*T2^7 - 42*T1^9*T2^7 + 99*T1^10*T2^7 + 2*T1^11*T2^7 + 
     T1^2*T2^8 - 45*T1^4*T2^8 - 90*T1^5*T2^8 + 742*T1^6*T2^8 - 
     748*T1^7*T2^8 + 346*T1^8*T2^8 + 262*T1^9*T2^8 - 133*T1^10*T2^8 + 
     T1^12*T2^8 - 2*T1^3*T2^9 + 67*T1^5*T2^9 - 170*T1^6*T2^9 - 42*T1^7*T2^9 + 
     262*T1^8*T2^9 - 330*T1^9*T2^9 + 99*T1^10*T2^9 - 2*T1^12*T2^9 + 
     T1^4*T2^10 + 2*T1^5*T2^10 - 27*T1^6*T2^10 + 99*T1^7*T2^10 - 
     133*T1^8*T2^10 + 99*T1^9*T2^10 - 27*T1^10*T2^10 + 2*T1^11*T2^10 + 
     T1^12*T2^10 - 2*T1^6*T2^11 + 2*T1^7*T2^11 + 2*T1^10*T2^11 - 
     2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 232] -> 
  {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((-7 + 29*T1 - 45*T1^2 + 29*T1^3 - 7*T1^4 + 29*T2 - 118*T1*T2 + 
      188*T1^2*T2 - 116*T1^3*T2 + 42*T1^4*T2 - 3*T1^5*T2 - 45*T2^2 + 
      188*T1*T2^2 - 290*T1^2*T2^2 + 42*T1^3*T2^2 + 106*T1^4*T2^2 - 
      164*T1^5*T2^2 + 43*T1^6*T2^2 + 29*T2^3 - 116*T1*T2^3 + 42*T1^2*T2^3 + 
      570*T1^3*T2^3 - 622*T1^4*T2^3 + 394*T1^5*T2^3 + 92*T1^6*T2^3 - 
      67*T1^7*T2^3 - 7*T2^4 + 42*T1*T2^4 + 106*T1^2*T2^4 - 622*T1^3*T2^4 + 
      108*T1^4*T2^4 + 402*T1^5*T2^4 - 742*T1^6*T2^4 + 170*T1^7*T2^4 + 
      25*T1^8*T2^4 - 3*T1*T2^5 - 164*T1^2*T2^5 + 394*T1^3*T2^5 + 
      402*T1^4*T2^5 - 790*T1^5*T2^5 + 746*T1^6*T2^5 + 44*T1^7*T2^5 - 
      99*T1^8*T2^5 + 43*T1^2*T2^6 + 92*T1^3*T2^6 - 742*T1^4*T2^6 + 
      746*T1^5*T2^6 - 346*T1^6*T2^6 - 260*T1^7*T2^6 + 131*T1^8*T2^6 - 
      67*T1^3*T2^7 + 170*T1^4*T2^7 + 44*T1^5*T2^7 - 260*T1^6*T2^7 + 
      330*T1^7*T2^7 - 99*T1^8*T2^7 + 25*T1^4*T2^8 - 99*T1^5*T2^8 + 
      131*T1^6*T2^8 - 99*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 233] -> 
  {(1 - 2*T + 4*T^2 - 5*T^3 + 5*T^4 - 5*T^5 + 4*T^6 - 2*T^7 + T^8)/T^4, 
   (-2 + 4*T1 - 8*T1^2 + 10*T1^3 - 10*T1^4 + 10*T1^5 - 8*T1^6 + 4*T1^7 - 
     2*T1^8 + 4*T2 - 6*T1*T2 + 12*T1^2*T2 - 12*T1^3*T2 + 10*T1^4*T2 - 
     10*T1^5*T2 + 6*T1^6*T2 + 2*T1^9*T2 - 8*T2^2 + 12*T1*T2^2 - 
     19*T1^2*T2^2 + 17*T1^3*T2^2 - 14*T1^4*T2^2 + 15*T1^5*T2^2 - 
     6*T1^6*T2^2 - 7*T1^7*T2^2 + 5*T1^8*T2^2 - 4*T1^9*T2^2 + 10*T2^3 - 
     12*T1*T2^3 + 17*T1^2*T2^3 - 21*T1^3*T2^3 + 23*T1^4*T2^3 - 32*T1^5*T2^3 + 
     23*T1^6*T2^3 - 10*T1^7*T2^3 + 21*T1^8*T2^3 - 19*T1^9*T2^3 + 
     10*T1^10*T2^3 - 5*T1^11*T2^3 - 10*T2^4 + 10*T1*T2^4 - 14*T1^2*T2^4 + 
     23*T1^3*T2^4 - 17*T1^4*T2^4 + 25*T1^5*T2^4 - 5*T1^6*T2^4 - 
     15*T1^7*T2^4 + 3*T1^8*T2^4 - 17*T1^9*T2^4 + 26*T1^10*T2^4 - 
     10*T1^11*T2^4 + 10*T1^12*T2^4 + 10*T2^5 - 10*T1*T2^5 + 15*T1^2*T2^5 - 
     32*T1^3*T2^5 + 25*T1^4*T2^5 - 57*T1^5*T2^5 + 43*T1^6*T2^5 - 
     37*T1^7*T2^5 + 63*T1^8*T2^5 - 40*T1^9*T2^5 + 33*T1^10*T2^5 - 
     45*T1^11*T2^5 + 10*T1^12*T2^5 - 15*T1^13*T2^5 - 8*T2^6 + 6*T1*T2^6 - 
     6*T1^2*T2^6 + 23*T1^3*T2^6 - 5*T1^4*T2^6 + 43*T1^5*T2^6 - 3*T1^6*T2^6 - 
     3*T1^7*T2^6 - 11*T1^8*T2^6 - 37*T1^9*T2^6 + 35*T1^10*T2^6 - 
     17*T1^11*T2^6 + 50*T1^12*T2^6 - 2*T1^13*T2^6 + 16*T1^14*T2^6 + 4*T2^7 - 
     7*T1^2*T2^7 - 10*T1^3*T2^7 - 15*T1^4*T2^7 - 37*T1^5*T2^7 - 3*T1^6*T2^7 - 
     37*T1^7*T2^7 + 55*T1^8*T2^7 - 14*T1^9*T2^7 + 43*T1^10*T2^7 - 
     50*T1^11*T2^7 - 5*T1^12*T2^7 - 43*T1^13*T2^7 - 12*T1^14*T2^7 - 
     10*T1^15*T2^7 - 2*T2^8 + 5*T1^2*T2^8 + 21*T1^3*T2^8 + 3*T1^4*T2^8 + 
     63*T1^5*T2^8 - 11*T1^6*T2^8 + 55*T1^7*T2^8 - 24*T1^8*T2^8 - 
     31*T1^9*T2^8 + 7*T1^10*T2^8 - 27*T1^11*T2^8 + 79*T1^12*T2^8 - 
     T1^13*T2^8 + 53*T1^14*T2^8 + 8*T1^15*T2^8 + 6*T1^16*T2^8 + 2*T1*T2^9 - 
     4*T1^2*T2^9 - 19*T1^3*T2^9 - 17*T1^4*T2^9 - 40*T1^5*T2^9 - 
     37*T1^6*T2^9 - 14*T1^7*T2^9 - 31*T1^8*T2^9 + 61*T1^9*T2^9 - 
     25*T1^10*T2^9 + 43*T1^11*T2^9 - 75*T1^12*T2^9 - 12*T1^13*T2^9 - 
     55*T1^14*T2^9 - 16*T1^15*T2^9 - 12*T1^16*T2^9 + 10*T1^3*T2^10 + 
     26*T1^4*T2^10 + 33*T1^5*T2^10 + 35*T1^6*T2^10 + 43*T1^7*T2^10 + 
     7*T1^8*T2^10 - 25*T1^9*T2^10 - T1^10*T2^10 - 37*T1^11*T2^10 + 
     75*T1^12*T2^10 - 7*T1^13*T2^10 + 82*T1^14*T2^10 + 2*T1^15*T2^10 + 
     24*T1^16*T2^10 - 5*T1^3*T2^11 - 10*T1^4*T2^11 - 45*T1^5*T2^11 - 
     17*T1^6*T2^11 - 50*T1^7*T2^11 - 27*T1^8*T2^11 + 43*T1^9*T2^11 - 
     37*T1^10*T2^11 + 93*T1^11*T2^11 - 115*T1^12*T2^11 + 48*T1^13*T2^11 - 
     105*T1^14*T2^11 + 10*T1^15*T2^11 - 30*T1^16*T2^11 + 10*T1^4*T2^12 + 
     10*T1^5*T2^12 + 50*T1^6*T2^12 - 5*T1^7*T2^12 + 79*T1^8*T2^12 - 
     75*T1^9*T2^12 + 75*T1^10*T2^12 - 115*T1^11*T2^12 + 99*T1^12*T2^12 - 
     45*T1^13*T2^12 + 90*T1^14*T2^12 - 10*T1^15*T2^12 + 30*T1^16*T2^12 - 
     15*T1^5*T2^13 - 2*T1^6*T2^13 - 43*T1^7*T2^13 - T1^8*T2^13 - 
     12*T1^9*T2^13 - 7*T1^10*T2^13 + 48*T1^11*T2^13 - 45*T1^12*T2^13 + 
     41*T1^13*T2^13 - 79*T1^14*T2^13 + 20*T1^15*T2^13 - 30*T1^16*T2^13 + 
     16*T1^6*T2^14 - 12*T1^7*T2^14 + 53*T1^8*T2^14 - 55*T1^9*T2^14 + 
     82*T1^10*T2^14 - 105*T1^11*T2^14 + 90*T1^12*T2^14 - 79*T1^13*T2^14 + 
     77*T1^14*T2^14 - 28*T1^15*T2^14 + 24*T1^16*T2^14 - 10*T1^7*T2^15 + 
     8*T1^8*T2^15 - 16*T1^9*T2^15 + 2*T1^10*T2^15 + 10*T1^11*T2^15 - 
     10*T1^12*T2^15 + 20*T1^13*T2^15 - 28*T1^14*T2^15 + 14*T1^15*T2^15 - 
     12*T1^16*T2^15 + 6*T1^8*T2^16 - 12*T1^9*T2^16 + 24*T1^10*T2^16 - 
     30*T1^11*T2^16 + 30*T1^12*T2^16 - 30*T1^13*T2^16 + 24*T1^14*T2^16 - 
     12*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 234] -> 
  {-((1 - 4*T + 6*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 42*T1^2 + 49*T1^3 - 49*T1^4 + 49*T1^5 - 42*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 71*T1^2*T2 - 52*T1^3*T2 + 
      28*T1^4*T2 - 28*T1^5*T2 + 31*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      42*T2^2 + 71*T1*T2^2 + 108*T1^2*T2^2 - 169*T1^3*T2^2 + 209*T1^4*T2^2 - 
      180*T1^5*T2^2 + 221*T1^6*T2^2 - 205*T1^7*T2^2 + 168*T1^8*T2^2 + 
      23*T1^9*T2^2 - 30*T1^10*T2^2 + 49*T2^3 - 52*T1*T2^3 - 169*T1^2*T2^3 + 
      79*T1^3*T2^3 - 67*T1^4*T2^3 - 3*T1^5*T2^3 - 66*T1^6*T2^3 + 
      14*T1^7*T2^3 + 7*T1^8*T2^3 - 175*T1^9*T2^3 + 8*T1^10*T2^3 + 
      28*T1^11*T2^3 - 49*T2^4 + 28*T1*T2^4 + 209*T1^2*T2^4 - 67*T1^3*T2^4 + 
      168*T1^4*T2^4 - 140*T1^5*T2^4 + 252*T1^6*T2^4 - 168*T1^7*T2^4 + 
      168*T1^8*T2^4 + 17*T1^9*T2^4 + 153*T1^10*T2^4 - 28*T1^11*T2^4 - 
      21*T1^12*T2^4 + 49*T2^5 - 28*T1*T2^5 - 180*T1^2*T2^5 - 3*T1^3*T2^5 - 
      140*T1^4*T2^5 + 53*T1^5*T2^5 - 136*T1^6*T2^5 + 18*T1^7*T2^5 - 
      45*T1^8*T2^5 - 133*T1^9*T2^5 - 52*T1^10*T2^5 - 96*T1^11*T2^5 + 
      28*T1^12*T2^5 + 14*T1^13*T2^5 - 42*T2^6 + 221*T1^2*T2^6 - 
      66*T1^3*T2^6 + 252*T1^4*T2^6 - 136*T1^5*T2^6 + 213*T1^6*T2^6 - 
      99*T1^7*T2^6 + 141*T1^8*T2^6 + 32*T1^9*T2^6 + 140*T1^10*T2^6 + 
      18*T1^11*T2^6 + 73*T1^12*T2^6 - 32*T1^13*T2^6 - 6*T1^14*T2^6 + 
      28*T2^7 + 31*T1*T2^7 - 205*T1^2*T2^7 + 14*T1^3*T2^7 - 168*T1^4*T2^7 + 
      18*T1^5*T2^7 - 99*T1^6*T2^7 + 27*T1^7*T2^7 - 81*T1^8*T2^7 - 
      56*T1^9*T2^7 - 108*T1^10*T2^7 - 35*T1^11*T2^7 - 55*T1^12*T2^7 - 
      19*T1^13*T2^7 + 23*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 168*T1^2*T2^8 + 
      7*T1^3*T2^8 + 168*T1^4*T2^8 - 45*T1^5*T2^8 + 141*T1^6*T2^8 - 
      81*T1^7*T2^8 + 84*T1^8*T2^8 + 33*T1^9*T2^8 + 87*T1^10*T2^8 + 
      53*T1^11*T2^8 + 24*T1^12*T2^8 + 49*T1^13*T2^8 - 24*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 23*T1^2*T2^9 - 175*T1^3*T2^9 + 
      17*T1^4*T2^9 - 133*T1^5*T2^9 + 32*T1^6*T2^9 - 56*T1^7*T2^9 + 
      33*T1^8*T2^9 - 75*T1^9*T2^9 - 13*T1^10*T2^9 - 94*T1^11*T2^9 - 
      52*T1^13*T2^9 + 11*T1^14*T2^9 + 15*T1^15*T2^9 - 4*T1^16*T2^9 - 
      30*T1^2*T2^10 + 8*T1^3*T2^10 + 153*T1^4*T2^10 - 52*T1^5*T2^10 + 
      140*T1^6*T2^10 - 108*T1^7*T2^10 + 87*T1^8*T2^10 - 13*T1^9*T2^10 + 
      15*T1^10*T2^10 + 60*T1^11*T2^10 + 28*T1^12*T2^10 + 32*T1^13*T2^10 + 
      5*T1^14*T2^10 - 24*T1^15*T2^10 + 6*T1^16*T2^10 + 28*T1^3*T2^11 - 
      28*T1^4*T2^11 - 96*T1^5*T2^11 + 18*T1^6*T2^11 - 35*T1^7*T2^11 + 
      53*T1^8*T2^11 - 94*T1^9*T2^11 + 60*T1^10*T2^11 - 45*T1^11*T2^11 - 
      28*T1^12*T2^11 - 31*T1^13*T2^11 - 12*T1^14*T2^11 + 28*T1^15*T2^11 - 
      7*T1^16*T2^11 - 21*T1^4*T2^12 + 28*T1^5*T2^12 + 73*T1^6*T2^12 - 
      55*T1^7*T2^12 + 24*T1^8*T2^12 + 28*T1^10*T2^12 - 28*T1^11*T2^12 + 
      24*T1^12*T2^12 + 29*T1^13*T2^12 + 17*T1^14*T2^12 - 28*T1^15*T2^12 + 
      7*T1^16*T2^12 + 14*T1^5*T2^13 - 32*T1^6*T2^13 - 19*T1^7*T2^13 + 
      49*T1^8*T2^13 - 52*T1^9*T2^13 + 32*T1^10*T2^13 - 31*T1^11*T2^13 + 
      29*T1^12*T2^13 - 23*T1^13*T2^13 - 25*T1^14*T2^13 + 28*T1^15*T2^13 - 
      7*T1^16*T2^13 - 6*T1^6*T2^14 + 23*T1^7*T2^14 - 24*T1^8*T2^14 + 
      11*T1^9*T2^14 + 5*T1^10*T2^14 - 12*T1^11*T2^14 + 17*T1^12*T2^14 - 
      25*T1^13*T2^14 + 36*T1^14*T2^14 - 25*T1^15*T2^14 + 6*T1^16*T2^14 - 
      4*T1^8*T2^15 + 15*T1^9*T2^15 - 24*T1^10*T2^15 + 28*T1^11*T2^15 - 
      28*T1^12*T2^15 + 28*T1^13*T2^15 - 25*T1^14*T2^15 + 16*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 6*T1^10*T2^16 - 
      7*T1^11*T2^16 + 7*T1^12*T2^16 - 7*T1^13*T2^16 + 6*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 235] -> 
  {(1 - 2*T + 2*T^2 - T^3 + T^4 - T^5 + 2*T^6 - 2*T^7 + T^8)/T^4, 
   (-2 + 4*T1 - 4*T1^2 + 2*T1^3 - 2*T1^4 + 2*T1^5 - 4*T1^6 + 4*T1^7 - 
     2*T1^8 + 4*T2 - 6*T1*T2 + 4*T1^2*T2 + 2*T1^4*T2 - 2*T1^5*T2 + 
     6*T1^6*T2 - 4*T1^7*T2 + 2*T1^9*T2 - 4*T2^2 + 4*T1*T2^2 - T1^2*T2^2 - 
     2*T1^3*T2^2 - 2*T1^4*T2^2 + T1^5*T2^2 - 6*T1^6*T2^2 + 2*T1^7*T2^2 + 
     3*T1^8*T2^2 - 4*T1^9*T2^2 + 2*T2^3 - 2*T1^2*T2^3 + 3*T1^3*T2^3 + 
     T1^4*T2^3 + T1^5*T2^3 + 2*T1^6*T2^3 + 4*T1^7*T2^3 - 7*T1^8*T2^3 + 
     4*T1^9*T2^3 + 2*T1^10*T2^3 - T1^11*T2^3 - 2*T2^4 + 2*T1*T2^4 - 
     2*T1^2*T2^4 + T1^3*T2^4 - 4*T1^4*T2^4 + 2*T1^5*T2^4 - 6*T1^6*T2^4 + 
     2*T1^7*T2^4 + T1^9*T2^4 - 2*T1^10*T2^4 - 2*T1^11*T2^4 + 2*T1^12*T2^4 + 
     2*T2^5 - 2*T1*T2^5 + T1^2*T2^5 + T1^3*T2^5 + 2*T1^4*T2^5 - T1^5*T2^5 + 
     6*T1^6*T2^5 - 3*T1^8*T2^5 + T1^9*T2^5 + T1^11*T2^5 + 2*T1^12*T2^5 - 
     3*T1^13*T2^5 - 4*T2^6 + 6*T1*T2^6 - 6*T1^2*T2^6 + 2*T1^3*T2^6 - 
     6*T1^4*T2^6 + 6*T1^5*T2^6 - 19*T1^6*T2^6 + 11*T1^7*T2^6 - 3*T1^8*T2^6 - 
     2*T1^9*T2^6 + 2*T1^10*T2^6 - 2*T1^11*T2^6 + 6*T1^12*T2^6 - 
     10*T1^13*T2^6 + 8*T1^14*T2^6 + 4*T2^7 - 4*T1*T2^7 + 2*T1^2*T2^7 + 
     4*T1^3*T2^7 + 2*T1^4*T2^7 + 11*T1^6*T2^7 + 9*T1^7*T2^7 - 13*T1^8*T2^7 + 
     8*T1^9*T2^7 + 2*T1^10*T2^7 - T1^11*T2^7 - 11*T1^12*T2^7 + 8*T1^13*T2^7 + 
     4*T1^14*T2^7 - 10*T1^15*T2^7 - 2*T2^8 + 3*T1^2*T2^8 - 7*T1^3*T2^8 - 
     3*T1^5*T2^8 - 3*T1^6*T2^8 - 13*T1^7*T2^8 + 9*T1^9*T2^8 - 9*T1^10*T2^8 - 
     T1^11*T2^8 + 12*T1^12*T2^8 + 3*T1^13*T2^8 - 13*T1^14*T2^8 + 
     8*T1^15*T2^8 + 6*T1^16*T2^8 + 2*T1*T2^9 - 4*T1^2*T2^9 + 4*T1^3*T2^9 + 
     T1^4*T2^9 + T1^5*T2^9 - 2*T1^6*T2^9 + 8*T1^7*T2^9 + 9*T1^8*T2^9 - 
     13*T1^9*T2^9 + 5*T1^10*T2^9 - 2*T1^12*T2^9 - 14*T1^13*T2^9 + 
     10*T1^14*T2^9 + 4*T1^15*T2^9 - 12*T1^16*T2^9 + 2*T1^3*T2^10 - 
     2*T1^4*T2^10 + 2*T1^6*T2^10 + 2*T1^7*T2^10 - 9*T1^8*T2^10 + 
     5*T1^9*T2^10 + 7*T1^10*T2^10 - 6*T1^11*T2^10 + 10*T1^12*T2^10 - 
     4*T1^13*T2^10 + 10*T1^14*T2^10 - 14*T1^15*T2^10 + 12*T1^16*T2^10 - 
     T1^3*T2^11 - 2*T1^4*T2^11 + T1^5*T2^11 - 2*T1^6*T2^11 - T1^7*T2^11 - 
     T1^8*T2^11 - 6*T1^10*T2^11 - 3*T1^11*T2^11 - 2*T1^12*T2^11 - 
     3*T1^13*T2^11 + T1^14*T2^11 + 2*T1^15*T2^11 - 6*T1^16*T2^11 + 
     2*T1^4*T2^12 + 2*T1^5*T2^12 + 6*T1^6*T2^12 - 11*T1^7*T2^12 + 
     12*T1^8*T2^12 - 2*T1^9*T2^12 + 10*T1^10*T2^12 - 2*T1^11*T2^12 + 
     16*T1^12*T2^12 - 11*T1^13*T2^12 + 6*T1^14*T2^12 - 2*T1^15*T2^12 + 
     6*T1^16*T2^12 - 3*T1^5*T2^13 - 10*T1^6*T2^13 + 8*T1^7*T2^13 + 
     3*T1^8*T2^13 - 14*T1^9*T2^13 - 4*T1^10*T2^13 - 3*T1^11*T2^13 - 
     11*T1^12*T2^13 - 7*T1^13*T2^13 + 14*T1^14*T2^13 - 8*T1^15*T2^13 - 
     6*T1^16*T2^13 + 8*T1^6*T2^14 + 4*T1^7*T2^14 - 13*T1^8*T2^14 + 
     10*T1^9*T2^14 + 10*T1^10*T2^14 + T1^11*T2^14 + 6*T1^12*T2^14 + 
     14*T1^13*T2^14 - 9*T1^14*T2^14 - 4*T1^15*T2^14 + 12*T1^16*T2^14 - 
     10*T1^7*T2^15 + 8*T1^8*T2^15 + 4*T1^9*T2^15 - 14*T1^10*T2^15 + 
     2*T1^11*T2^15 - 2*T1^12*T2^15 - 8*T1^13*T2^15 - 4*T1^14*T2^15 + 
     14*T1^15*T2^15 - 12*T1^16*T2^15 + 6*T1^8*T2^16 - 12*T1^9*T2^16 + 
     12*T1^10*T2^16 - 6*T1^11*T2^16 + 6*T1^12*T2^16 - 6*T1^13*T2^16 + 
     12*T1^14*T2^16 - 12*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 236] -> 
  {(2 - 5*T + 10*T^2 - 13*T^3 + 10*T^4 - 5*T^5 + 2*T^6)/T^3, 
   (-15 + 38*T1 - 76*T1^2 + 99*T1^3 - 76*T1^4 + 38*T1^5 - 15*T1^6 + 38*T2 - 
     78*T1*T2 + 146*T1^2*T2 - 158*T1^3*T2 + 72*T1^4*T2 - 4*T1^5*T2 - 
     8*T1^6*T2 + 18*T1^7*T2 - 76*T2^2 + 146*T1*T2^2 - 223*T1^2*T2^2 + 
     178*T1^3*T2^2 + 29*T1^4*T2^2 - 142*T1^5*T2^2 + 97*T1^6*T2^2 - 
     54*T1^7*T2^2 + 4*T1^8*T2^2 + 99*T2^3 - 158*T1*T2^3 + 178*T1^2*T2^3 - 
     148*T1^3*T2^3 - 22*T1^4*T2^3 - 42*T1^5*T2^3 + 272*T1^6*T2^3 - 
     252*T1^7*T2^3 + 132*T1^8*T2^3 - 57*T1^9*T2^3 - 76*T2^4 + 72*T1*T2^4 + 
     29*T1^2*T2^4 - 22*T1^3*T2^4 + 198*T1^4*T2^4 - 26*T1^5*T2^4 - 
     202*T1^6*T2^4 - 22*T1^7*T2^4 + 179*T1^8*T2^4 - 68*T1^9*T2^4 + 
     84*T1^10*T2^4 + 38*T2^5 - 4*T1*T2^5 - 142*T1^2*T2^5 - 42*T1^3*T2^5 - 
     26*T1^4*T2^5 - 422*T1^5*T2^5 + 668*T1^6*T2^5 - 226*T1^7*T2^5 + 
     18*T1^8*T2^5 - 152*T1^9*T2^5 - 54*T1^10*T2^5 - 62*T1^11*T2^5 - 15*T2^6 - 
     8*T1*T2^6 + 97*T1^2*T2^6 + 272*T1^3*T2^6 - 202*T1^4*T2^6 + 
     668*T1^5*T2^6 - 528*T1^6*T2^6 - 252*T1^7*T2^6 + 338*T1^8*T2^6 - 
     40*T1^9*T2^6 + 237*T1^10*T2^6 + 72*T1^11*T2^6 + 33*T1^12*T2^6 + 
     18*T1*T2^7 - 54*T1^2*T2^7 - 252*T1^3*T2^7 - 22*T1^4*T2^7 - 
     226*T1^5*T2^7 - 252*T1^6*T2^7 + 838*T1^7*T2^7 - 426*T1^8*T2^7 + 
     38*T1^9*T2^7 - 262*T1^10*T2^7 - 104*T1^11*T2^7 - 82*T1^12*T2^7 + 
     4*T1^2*T2^8 + 132*T1^3*T2^8 + 179*T1^4*T2^8 + 18*T1^5*T2^8 + 
     338*T1^6*T2^8 - 426*T1^7*T2^8 - 62*T1^8*T2^8 + 18*T1^9*T2^8 + 
     329*T1^10*T2^8 - 8*T1^11*T2^8 + 164*T1^12*T2^8 - 57*T1^3*T2^9 - 
     68*T1^4*T2^9 - 152*T1^5*T2^9 - 40*T1^6*T2^9 + 38*T1^7*T2^9 + 
     18*T1^8*T2^9 + 380*T1^9*T2^9 - 582*T1^10*T2^9 + 222*T1^11*T2^9 - 
     213*T1^12*T2^9 + 84*T1^4*T2^10 - 54*T1^5*T2^10 + 237*T1^6*T2^10 - 
     262*T1^7*T2^10 + 329*T1^8*T2^10 - 582*T1^9*T2^10 + 557*T1^10*T2^10 - 
     254*T1^11*T2^10 + 164*T1^12*T2^10 - 62*T1^5*T2^11 + 72*T1^6*T2^11 - 
     104*T1^7*T2^11 - 8*T1^8*T2^11 + 222*T1^9*T2^11 - 254*T1^10*T2^11 + 
     142*T1^11*T2^11 - 82*T1^12*T2^11 + 33*T1^6*T2^12 - 82*T1^7*T2^12 + 
     164*T1^8*T2^12 - 213*T1^9*T2^12 + 164*T1^10*T2^12 - 82*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 237] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 326*T1^2 + 387*T1^3 - 326*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 792*T1^2*T2 - 558*T1^3*T2 + 72*T1^4*T2 + 
      342*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 326*T2^2 + 792*T1*T2^2 + 
      242*T1^2*T2^2 - 1384*T1^3*T2^2 + 2184*T1^4*T2^2 - 2024*T1^5*T2^2 + 
      1138*T1^6*T2^2 + 216*T1^7*T2^2 - 198*T1^8*T2^2 + 387*T2^3 - 
      558*T1*T2^3 - 1384*T1^2*T2^3 + 1966*T1^3*T2^3 - 1733*T1^4*T2^3 + 
      457*T1^5*T2^3 + 760*T1^6*T2^3 - 1624*T1^7*T2^3 + 180*T1^8*T2^3 + 
      159*T1^9*T2^3 - 326*T2^4 + 72*T1*T2^4 + 2184*T1^2*T2^4 - 
      1733*T1^3*T2^4 + 1033*T1^4*T2^4 + 181*T1^5*T2^4 - 595*T1^6*T2^4 + 
      623*T1^7*T2^4 + 1154*T1^8*T2^4 - 396*T1^9*T2^4 - 70*T1^10*T2^4 + 
      184*T2^5 + 342*T1*T2^5 - 2024*T1^2*T2^5 + 457*T1^3*T2^5 + 
      181*T1^4*T2^5 - 672*T1^5*T2^5 + 158*T1^6*T2^5 + 213*T1^7*T2^5 - 
      1401*T1^8*T2^5 - 184*T1^9*T2^5 + 288*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 1138*T1^2*T2^6 + 760*T1^3*T2^6 - 
      595*T1^4*T2^6 + 158*T1^5*T2^6 + 624*T1^6*T2^6 - 642*T1^7*T2^6 + 
      801*T1^8*T2^6 + 880*T1^9*T2^6 - 370*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 216*T1^2*T2^7 - 1624*T1^3*T2^7 + 
      623*T1^4*T2^7 + 213*T1^5*T2^7 - 642*T1^6*T2^7 + 188*T1^7*T2^7 + 
      245*T1^8*T2^7 - 1235*T1^9*T2^7 + 216*T1^10*T2^7 + 162*T1^11*T2^7 - 
      32*T1^12*T2^7 - 198*T1^2*T2^8 + 180*T1^3*T2^8 + 1154*T1^4*T2^8 - 
      1401*T1^5*T2^8 + 801*T1^6*T2^8 + 245*T1^7*T2^8 - 827*T1^8*T2^8 + 
      955*T1^9*T2^8 + 124*T1^10*T2^8 - 288*T1^11*T2^8 + 58*T1^12*T2^8 + 
      159*T1^3*T2^9 - 396*T1^4*T2^9 - 184*T1^5*T2^9 + 880*T1^6*T2^9 - 
      1235*T1^7*T2^9 + 955*T1^8*T2^9 - 326*T1^9*T2^9 - 424*T1^10*T2^9 + 
      342*T1^11*T2^9 - 69*T1^12*T2^9 - 70*T1^4*T2^10 + 288*T1^5*T2^10 - 
      370*T1^6*T2^10 + 216*T1^7*T2^10 + 124*T1^8*T2^10 - 424*T1^9*T2^10 + 
      526*T1^10*T2^10 - 288*T1^11*T2^10 + 58*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 162*T1^7*T2^11 - 288*T1^8*T2^11 + 342*T1^9*T2^11 - 
      288*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 58*T1^8*T2^12 - 69*T1^9*T2^12 + 58*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 238] -> 
  {(2 - 5*T + 6*T^2 - 5*T^3 + 6*T^4 - 5*T^5 + 2*T^6)/T^3, 
   (-15 + 38*T1 - 46*T1^2 + 39*T1^3 - 46*T1^4 + 38*T1^5 - 15*T1^6 + 38*T2 - 
     78*T1*T2 + 70*T1^2*T2 - 42*T1^3*T2 + 68*T1^4*T2 - 40*T1^5*T2 - 
     8*T1^6*T2 + 18*T1^7*T2 - 46*T2^2 + 70*T1*T2^2 - 29*T1^2*T2^2 - 
     4*T1^3*T2^2 - 51*T1^4*T2^2 - 4*T1^5*T2^2 + 67*T1^6*T2^2 - 50*T1^7*T2^2 + 
     2*T1^8*T2^2 + 39*T2^3 - 42*T1*T2^3 - 4*T1^2*T2^3 + 22*T1^3*T2^3 + 
     44*T1^4*T2^3 + 44*T1^5*T2^3 - 98*T1^6*T2^3 + 26*T1^7*T2^3 + 
     48*T1^8*T2^3 - 21*T1^9*T2^3 - 46*T2^4 + 68*T1*T2^4 - 51*T1^2*T2^4 + 
     44*T1^3*T2^4 - 132*T1^4*T2^4 + 6*T1^5*T2^4 + 60*T1^6*T2^4 + 
     4*T1^7*T2^4 - 13*T1^8*T2^4 - 72*T1^9*T2^4 + 50*T1^10*T2^4 + 38*T2^5 - 
     40*T1*T2^5 - 4*T1^2*T2^5 + 44*T1^3*T2^5 + 6*T1^4*T2^5 + 168*T1^5*T2^5 - 
     142*T1^6*T2^5 + 6*T1^7*T2^5 - 36*T1^8*T2^5 + 86*T1^9*T2^5 + 
     30*T1^10*T2^5 - 62*T1^11*T2^5 - 15*T2^6 - 8*T1*T2^6 + 67*T1^2*T2^6 - 
     98*T1^3*T2^6 + 60*T1^4*T2^6 - 142*T1^5*T2^6 - 24*T1^6*T2^6 + 
     138*T1^7*T2^6 - 8*T1^8*T2^6 + 22*T1^9*T2^6 - 145*T1^10*T2^6 + 
     72*T1^11*T2^6 + 33*T1^12*T2^6 + 18*T1*T2^7 - 50*T1^2*T2^7 + 
     26*T1^3*T2^7 + 4*T1^4*T2^7 + 6*T1^5*T2^7 + 138*T1^6*T2^7 - 
     172*T1^7*T2^7 + 6*T1^8*T2^7 - 76*T1^9*T2^7 + 116*T1^10*T2^7 + 
     20*T1^11*T2^7 - 82*T1^12*T2^7 + 2*T1^2*T2^8 + 48*T1^3*T2^8 - 
     13*T1^4*T2^8 - 36*T1^5*T2^8 - 8*T1^6*T2^8 + 6*T1^7*T2^8 + 
     184*T1^8*T2^8 - 76*T1^9*T2^8 + 25*T1^10*T2^8 - 92*T1^11*T2^8 + 
     98*T1^12*T2^8 - 21*T1^3*T2^9 - 72*T1^4*T2^9 + 86*T1^5*T2^9 + 
     22*T1^6*T2^9 - 76*T1^7*T2^9 - 76*T1^8*T2^9 - 98*T1^9*T2^9 + 
     116*T1^10*T2^9 + 18*T1^11*T2^9 - 81*T1^12*T2^9 + 50*T1^4*T2^10 + 
     30*T1^5*T2^10 - 145*T1^6*T2^10 + 116*T1^7*T2^10 + 25*T1^8*T2^10 + 
     116*T1^9*T2^10 - 49*T1^10*T2^10 - 90*T1^11*T2^10 + 98*T1^12*T2^10 - 
     62*T1^5*T2^11 + 72*T1^6*T2^11 + 20*T1^7*T2^11 - 92*T1^8*T2^11 + 
     18*T1^9*T2^11 - 90*T1^10*T2^11 + 142*T1^11*T2^11 - 82*T1^12*T2^11 + 
     33*T1^6*T2^12 - 82*T1^7*T2^12 + 98*T1^8*T2^12 - 81*T1^9*T2^12 + 
     98*T1^10*T2^12 - 82*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 239] -> 
  {(2 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + 2*T^6)/T^3, 
   (-15 + 38*T1 - 68*T1^2 + 83*T1^3 - 68*T1^4 + 38*T1^5 - 15*T1^6 + 38*T2 - 
     78*T1*T2 + 126*T1^2*T2 - 128*T1^3*T2 + 72*T1^4*T2 - 14*T1^5*T2 - 
     8*T1^6*T2 + 18*T1^7*T2 - 68*T2^2 + 126*T1*T2^2 - 159*T1^2*T2^2 + 
     97*T1^3*T2^2 + 41*T1^4*T2^2 - 119*T1^5*T2^2 + 93*T1^6*T2^2 - 
     54*T1^7*T2^2 + 4*T1^8*T2^2 + 83*T2^3 - 128*T1*T2^3 + 97*T1^2*T2^3 - 
     45*T1^3*T2^3 - 26*T1^4*T2^3 - 50*T1^5*T2^3 + 183*T1^6*T2^3 - 
     182*T1^7*T2^3 + 112*T1^8*T2^3 - 49*T1^9*T2^3 - 68*T2^4 + 72*T1*T2^4 + 
     41*T1^2*T2^4 - 26*T1^3*T2^4 + 87*T1^4*T2^4 + 17*T1^5*T2^4 - 
     69*T1^6*T2^4 - 48*T1^7*T2^4 + 139*T1^8*T2^4 - 68*T1^9*T2^4 + 
     76*T1^10*T2^4 + 38*T2^5 - 14*T1*T2^5 - 119*T1^2*T2^5 - 50*T1^3*T2^5 + 
     17*T1^4*T2^5 - 214*T1^5*T2^5 + 226*T1^6*T2^5 - 64*T1^7*T2^5 - 
     22*T1^8*T2^5 - 92*T1^9*T2^5 - 34*T1^10*T2^5 - 62*T1^11*T2^5 - 15*T2^6 - 
     8*T1*T2^6 + 93*T1^2*T2^6 + 183*T1^3*T2^6 - 69*T1^4*T2^6 + 
     226*T1^5*T2^6 - 60*T1^6*T2^6 - 166*T1^7*T2^6 + 181*T1^8*T2^6 + 
     9*T1^9*T2^6 + 133*T1^10*T2^6 + 72*T1^11*T2^6 + 33*T1^12*T2^6 + 
     18*T1*T2^7 - 54*T1^2*T2^7 - 182*T1^3*T2^7 - 48*T1^4*T2^7 - 
     64*T1^5*T2^7 - 166*T1^6*T2^7 + 274*T1^7*T2^7 - 145*T1^8*T2^7 - 
     20*T1^9*T2^7 - 155*T1^10*T2^7 - 74*T1^11*T2^7 - 82*T1^12*T2^7 + 
     4*T1^2*T2^8 + 112*T1^3*T2^8 + 139*T1^4*T2^8 - 22*T1^5*T2^8 + 
     181*T1^6*T2^8 - 145*T1^7*T2^8 + 25*T1^8*T2^8 - 44*T1^9*T2^8 + 
     237*T1^10*T2^8 - 28*T1^11*T2^8 + 148*T1^12*T2^8 - 49*T1^3*T2^9 - 
     68*T1^4*T2^9 - 92*T1^5*T2^9 + 9*T1^6*T2^9 - 20*T1^7*T2^9 - 
     44*T1^8*T2^9 + 237*T1^9*T2^9 - 371*T1^10*T2^9 + 172*T1^11*T2^9 - 
     181*T1^12*T2^9 + 76*T1^4*T2^10 - 34*T1^5*T2^10 + 133*T1^6*T2^10 - 
     155*T1^7*T2^10 + 237*T1^8*T2^10 - 371*T1^9*T2^10 + 385*T1^10*T2^10 - 
     214*T1^11*T2^10 + 148*T1^12*T2^10 - 62*T1^5*T2^11 + 72*T1^6*T2^11 - 
     74*T1^7*T2^11 - 28*T1^8*T2^11 + 172*T1^9*T2^11 - 214*T1^10*T2^11 + 
     142*T1^11*T2^11 - 82*T1^12*T2^11 + 33*T1^6*T2^12 - 82*T1^7*T2^12 + 
     148*T1^8*T2^12 - 181*T1^9*T2^12 + 148*T1^10*T2^12 - 82*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 240] -> 
  {-(((2 - 3*T + 2*T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3), 
   -((-41 + 184*T1 - 346*T1^2 + 427*T1^3 - 346*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 886*T1^2*T2 - 670*T1^3*T2 + 14*T1^4*T2 + 
      418*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 346*T2^2 + 886*T1*T2^2 - 
      120*T1^2*T2^2 - 1106*T1^3*T2^2 + 2306*T1^4*T2^2 - 1922*T1^5*T2^2 + 
      900*T1^6*T2^2 + 274*T1^7*T2^2 - 210*T1^8*T2^2 + 427*T2^3 - 
      670*T1*T2^3 - 1106*T1^2*T2^3 + 2119*T1^3*T2^3 - 2314*T1^4*T2^3 + 
      224*T1^5*T2^3 + 1039*T1^6*T2^3 - 1565*T1^7*T2^3 + 158*T1^8*T2^3 + 
      175*T1^9*T2^3 - 346*T2^4 + 14*T1*T2^4 + 2306*T1^2*T2^4 - 
      2314*T1^3*T2^4 + 1536*T1^4*T2^4 + 1004*T1^5*T2^4 - 960*T1^6*T2^4 + 
      500*T1^7*T2^4 + 1216*T1^8*T2^4 - 454*T1^9*T2^4 - 74*T1^10*T2^4 + 
      184*T2^5 + 418*T1*T2^5 - 1922*T1^2*T2^5 + 224*T1^3*T2^5 + 
      1004*T1^4*T2^5 - 2348*T1^5*T2^5 + 274*T1^6*T2^5 + 749*T1^7*T2^5 - 
      1762*T1^8*T2^5 - 35*T1^9*T2^5 + 310*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 900*T1^2*T2^6 + 1039*T1^3*T2^6 - 
      960*T1^4*T2^6 + 274*T1^5*T2^6 + 2268*T1^6*T2^6 - 2018*T1^7*T2^6 + 
      1314*T1^8*T2^6 + 841*T1^9*T2^6 - 452*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 274*T1^2*T2^7 - 1565*T1^3*T2^7 + 
      500*T1^4*T2^7 + 749*T1^5*T2^7 - 2018*T1^6*T2^7 + 604*T1^7*T2^7 + 
      494*T1^8*T2^7 - 1486*T1^9*T2^7 + 322*T1^10*T2^7 + 166*T1^11*T2^7 - 
      32*T1^12*T2^7 - 210*T1^2*T2^8 + 158*T1^3*T2^8 + 1216*T1^4*T2^8 - 
      1762*T1^5*T2^8 + 1314*T1^6*T2^8 + 494*T1^7*T2^8 - 1182*T1^8*T2^8 + 
      1052*T1^9*T2^8 + 126*T1^10*T2^8 - 310*T1^11*T2^8 + 62*T1^12*T2^8 + 
      175*T1^3*T2^9 - 454*T1^4*T2^9 - 35*T1^5*T2^9 + 841*T1^6*T2^9 - 
      1486*T1^7*T2^9 + 1052*T1^8*T2^9 - 239*T1^9*T2^9 - 494*T1^10*T2^9 + 
      374*T1^11*T2^9 - 77*T1^12*T2^9 - 74*T1^4*T2^10 + 310*T1^5*T2^10 - 
      452*T1^6*T2^10 + 322*T1^7*T2^10 + 126*T1^8*T2^10 - 494*T1^9*T2^10 + 
      568*T1^10*T2^10 - 302*T1^11*T2^10 + 62*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 166*T1^7*T2^11 - 310*T1^8*T2^11 + 374*T1^9*T2^11 - 
      302*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 62*T1^8*T2^12 - 77*T1^9*T2^12 + 62*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 241] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-15 + 54*T1 - 102*T1^2 + 119*T1^3 - 102*T1^4 + 54*T1^5 - 15*T1^6 + 
     54*T2 - 164*T1*T2 + 264*T1^2*T2 - 238*T1^3*T2 + 154*T1^4*T2 - 
     16*T1^5*T2 - 38*T1^6*T2 + 26*T1^7*T2 - 102*T2^2 + 264*T1*T2^2 - 
     364*T1^2*T2^2 + 212*T1^3*T2^2 - 40*T1^4*T2^2 - 204*T1^5*T2^2 + 
     208*T1^6*T2^2 - 100*T1^7*T2^2 + 2*T1^8*T2^2 + 119*T2^3 - 238*T1*T2^3 + 
     212*T1^2*T2^3 + 131*T1^3*T2^3 - 300*T1^4*T2^3 + 448*T1^5*T2^3 - 
     159*T1^6*T2^3 - 139*T1^7*T2^3 + 210*T1^8*T2^3 - 61*T1^9*T2^3 - 
     102*T2^4 + 154*T1*T2^4 - 40*T1^2*T2^4 - 300*T1^3*T2^4 + 225*T1^4*T2^4 - 
     121*T1^5*T2^4 - 311*T1^6*T2^4 + 450*T1^7*T2^4 - 158*T1^8*T2^4 - 
     154*T1^9*T2^4 + 106*T1^10*T2^4 + 54*T2^5 - 16*T1*T2^5 - 204*T1^2*T2^5 + 
     448*T1^3*T2^5 - 121*T1^4*T2^5 - 170*T1^5*T2^5 + 460*T1^6*T2^5 - 
     290*T1^7*T2^5 - 296*T1^8*T2^5 + 407*T1^9*T2^5 - 72*T1^10*T2^5 - 
     86*T1^11*T2^5 - 15*T2^6 - 38*T1*T2^6 + 208*T1^2*T2^6 - 159*T1^3*T2^6 - 
     311*T1^4*T2^6 + 460*T1^5*T2^6 - 192*T1^6*T2^6 - 256*T1^7*T2^6 + 
     779*T1^8*T2^6 - 337*T1^9*T2^6 - 176*T1^10*T2^6 + 186*T1^11*T2^6 + 
     33*T1^12*T2^6 + 26*T1*T2^7 - 100*T1^2*T2^7 - 139*T1^3*T2^7 + 
     450*T1^4*T2^7 - 290*T1^5*T2^7 - 256*T1^6*T2^7 + 374*T1^7*T2^7 - 
     459*T1^8*T2^7 - 294*T1^9*T2^7 + 472*T1^10*T2^7 - 156*T1^11*T2^7 - 
     114*T1^12*T2^7 + 2*T1^2*T2^8 + 210*T1^3*T2^8 - 158*T1^4*T2^8 - 
     296*T1^5*T2^8 + 779*T1^6*T2^8 - 459*T1^7*T2^8 + 243*T1^8*T2^8 + 
     454*T1^9*T2^8 - 276*T1^10*T2^8 - 98*T1^11*T2^8 + 210*T1^12*T2^8 - 
     61*T1^3*T2^9 - 154*T1^4*T2^9 + 407*T1^5*T2^9 - 337*T1^6*T2^9 - 
     294*T1^7*T2^9 + 454*T1^8*T2^9 - 627*T1^9*T2^9 + 56*T1^10*T2^9 + 
     294*T1^11*T2^9 - 241*T1^12*T2^9 + 106*T1^4*T2^10 - 72*T1^5*T2^10 - 
     176*T1^6*T2^10 + 472*T1^7*T2^10 - 276*T1^8*T2^10 + 56*T1^9*T2^10 + 
     396*T1^10*T2^10 - 436*T1^11*T2^10 + 210*T1^12*T2^10 - 86*T1^5*T2^11 + 
     186*T1^6*T2^11 - 156*T1^7*T2^11 - 98*T1^8*T2^11 + 294*T1^9*T2^11 - 
     436*T1^10*T2^11 + 312*T1^11*T2^11 - 114*T1^12*T2^11 + 33*T1^6*T2^12 - 
     114*T1^7*T2^12 + 210*T1^8*T2^12 - 241*T1^9*T2^12 + 210*T1^10*T2^12 - 
     114*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 242] -> 
  {(1 - T + T^3 - T^4 + T^5 - T^6 + T^7 - T^9 + T^10)/T^5, 
   (-10 + 10*T1 - 10*T1^3 + 10*T1^4 - 10*T1^5 + 10*T1^6 - 10*T1^7 + 10*T1^9 - 
     10*T1^10 + 10*T2 - T1*T2 - 9*T1^2*T2 + 10*T1^3*T2 - T1^4*T2 + T1^5*T2 - 
     T1^6*T2 + T1^7*T2 + 9*T1^8*T2 - 10*T1^9*T2 + T1^10*T2 + 9*T1^11*T2 - 
     9*T1*T2^2 + 9*T1^2*T2^2 - 9*T1^4*T2^2 + 9*T1^5*T2^2 - 9*T1^6*T2^2 + 
     9*T1^7*T2^2 - 9*T1^8*T2^2 + 9*T1^10*T2^2 - 9*T1^11*T2^2 - 10*T2^3 + 
     10*T1*T2^3 - 15*T1^3*T2^3 + 15*T1^4*T2^3 - 9*T1^5*T2^3 + 3*T1^6*T2^3 - 
     3*T1^7*T2^3 - 6*T1^8*T2^3 + 15*T1^9*T2^3 - 15*T1^10*T2^3 + 
     7*T1^12*T2^3 - 7*T1^13*T2^3 + 10*T2^4 - T1*T2^4 - 9*T1^2*T2^4 + 
     15*T1^3*T2^4 - 2*T1^4*T2^4 - 4*T1^5*T2^4 + 5*T1^6*T2^4 + 9*T1^8*T2^4 - 
     10*T1^9*T2^4 + 2*T1^10*T2^4 + 13*T1^11*T2^4 - 7*T1^12*T2^4 + 
     T1^13*T2^4 + 6*T1^14*T2^4 - 10*T2^5 + T1*T2^5 + 9*T1^2*T2^5 - 
     9*T1^3*T2^5 - 4*T1^4*T2^5 + 2*T1^5*T2^5 + 3*T1^6*T2^5 - 5*T1^7*T2^5 - 
     6*T1^8*T2^5 + 6*T1^9*T2^5 + 2*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T1^12*T2^5 + 
     6*T1^13*T2^5 - T1^14*T2^5 - 5*T1^15*T2^5 + 10*T2^6 - T1*T2^6 - 
     9*T1^2*T2^6 + 3*T1^3*T2^6 + 5*T1^4*T2^6 + 3*T1^5*T2^6 - 8*T1^6*T2^6 + 
     5*T1^7*T2^6 + 4*T1^8*T2^6 - 3*T1^9*T2^6 - 4*T1^10*T2^6 + 5*T1^11*T2^6 + 
     7*T1^12*T2^6 - 3*T1^13*T2^6 - 5*T1^14*T2^6 + T1^15*T2^6 + 4*T1^16*T2^6 - 
     10*T2^7 + T1*T2^7 + 9*T1^2*T2^7 - 3*T1^3*T2^7 - 5*T1^5*T2^7 + 
     5*T1^6*T2^7 + T1^7*T2^7 - 6*T1^8*T2^7 + 4*T1^9*T2^7 + 3*T1^10*T2^7 - 
     3*T1^11*T2^7 - 4*T1^12*T2^7 + 3*T1^14*T2^7 + 4*T1^15*T2^7 - T1^16*T2^7 - 
     3*T1^17*T2^7 + 9*T1*T2^8 - 9*T1^2*T2^8 - 6*T1^3*T2^8 + 9*T1^4*T2^8 - 
     6*T1^5*T2^8 + 4*T1^6*T2^8 - 6*T1^7*T2^8 + 3*T1^8*T2^8 + 3*T1^9*T2^8 - 
     9*T1^10*T2^8 + 4*T1^11*T2^8 + 2*T1^12*T2^8 - 2*T1^13*T2^8 + T1^14*T2^8 - 
     4*T1^15*T2^8 - 3*T1^16*T2^8 + 3*T1^17*T2^8 + 10*T2^9 - 10*T1*T2^9 + 
     15*T1^3*T2^9 - 10*T1^4*T2^9 + 6*T1^5*T2^9 - 3*T1^6*T2^9 + 4*T1^7*T2^9 + 
     3*T1^8*T2^9 - 11*T1^9*T2^9 + 11*T1^10*T2^9 + 2*T1^11*T2^9 - 
     6*T1^12*T2^9 + 5*T1^13*T2^9 - T1^14*T2^9 + T1^15*T2^9 + 3*T1^16*T2^9 - 
     T1^18*T2^9 + T1^19*T2^9 - 10*T2^10 + T1*T2^10 + 9*T1^2*T2^10 - 
     15*T1^3*T2^10 + 2*T1^4*T2^10 + 2*T1^5*T2^10 - 4*T1^6*T2^10 + 
     3*T1^7*T2^10 - 9*T1^8*T2^10 + 11*T1^9*T2^10 - 11*T1^11*T2^10 + 
     5*T1^12*T2^10 + T1^13*T2^10 - 4*T1^14*T2^10 + 2*T1^15*T2^10 - 
     2*T1^16*T2^10 - T1^17*T2^10 + T1^18*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - 
     9*T1^2*T2^11 + 13*T1^4*T2^11 - 9*T1^5*T2^11 + 5*T1^6*T2^11 - 
     3*T1^7*T2^11 + 4*T1^8*T2^11 + 2*T1^9*T2^11 - 11*T1^10*T2^11 + 
     11*T1^11*T2^11 + T1^12*T2^11 - 6*T1^13*T2^11 + 5*T1^14*T2^11 - 
     2*T1^15*T2^11 + 2*T1^16*T2^11 + T1^17*T2^11 + 7*T1^3*T2^12 - 
     7*T1^4*T2^12 - 4*T1^5*T2^12 + 7*T1^6*T2^12 - 4*T1^7*T2^12 + 
     2*T1^8*T2^12 - 6*T1^9*T2^12 + 5*T1^10*T2^12 + T1^11*T2^12 - 
     7*T1^12*T2^12 + 4*T1^13*T2^12 - T1^16*T2^12 - 2*T1^17*T2^12 - 
     T1^18*T2^12 + T1^19*T2^12 - 7*T1^3*T2^13 + T1^4*T2^13 + 6*T1^5*T2^13 - 
     3*T1^6*T2^13 - 2*T1^8*T2^13 + 5*T1^9*T2^13 + T1^10*T2^13 - 
     6*T1^11*T2^13 + 4*T1^12*T2^13 + 3*T1^13*T2^13 - 3*T1^14*T2^13 - 
     T1^15*T2^13 + 3*T1^17*T2^13 + T1^18*T2^13 - T1^19*T2^13 + 6*T1^4*T2^14 - 
     T1^5*T2^14 - 5*T1^6*T2^14 + 3*T1^7*T2^14 + T1^8*T2^14 - T1^9*T2^14 - 
     4*T1^10*T2^14 + 5*T1^11*T2^14 - 3*T1^13*T2^14 + T1^15*T2^14 + 
     3*T1^16*T2^14 - 3*T1^17*T2^14 - T1^18*T2^14 + T1^19*T2^14 - 
     5*T1^5*T2^15 + T1^6*T2^15 + 4*T1^7*T2^15 - 4*T1^8*T2^15 + T1^9*T2^15 + 
     2*T1^10*T2^15 - 2*T1^11*T2^15 - T1^13*T2^15 + T1^14*T2^15 + 
     2*T1^15*T2^15 - 4*T1^16*T2^15 + T1^17*T2^15 + T1^18*T2^15 - 
     T1^19*T2^15 + 4*T1^6*T2^16 - T1^7*T2^16 - 3*T1^8*T2^16 + 3*T1^9*T2^16 - 
     2*T1^10*T2^16 + 2*T1^11*T2^16 - T1^12*T2^16 + 3*T1^14*T2^16 - 
     4*T1^15*T2^16 + 2*T1^16*T2^16 + T1^17*T2^16 - T1^18*T2^16 + 
     T1^19*T2^16 - 3*T1^7*T2^17 + 3*T1^8*T2^17 - T1^10*T2^17 + T1^11*T2^17 - 
     2*T1^12*T2^17 + 3*T1^13*T2^17 - 3*T1^14*T2^17 + T1^15*T2^17 + 
     T1^16*T2^17 - T1^17*T2^17 - T1^9*T2^18 + T1^10*T2^18 - T1^12*T2^18 + 
     T1^13*T2^18 - T1^14*T2^18 + T1^15*T2^18 - T1^16*T2^18 + T1^18*T2^18 - 
     T1^19*T2^18 + T1^9*T2^19 - T1^10*T2^19 + T1^12*T2^19 - T1^13*T2^19 + 
     T1^14*T2^19 - T1^15*T2^19 + T1^16*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, NonAlternating, 243] -> 
  {(2 - 3*T + T^2 + 2*T^3 - 3*T^4 + 2*T^5 + T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 32*T1^2 + 65*T1^3 - 97*T1^4 + 65*T1^5 + 32*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 79*T1^2*T2 - 139*T1^3*T2 + 
      60*T1^4*T2 + 30*T1^5*T2 - 133*T1^6*T2 + 103*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 32*T2^2 + 79*T1*T2^2 - 150*T1^2*T2^2 + 59*T1^3*T2^2 + 
      91*T1^4*T2^2 - 134*T1^5*T2^2 + 107*T1^6*T2^2 + 39*T1^7*T2^2 - 
      146*T1^8*T2^2 + 91*T1^9*T2^2 + 24*T1^10*T2^2 + 65*T2^3 - 139*T1*T2^3 + 
      59*T1^2*T2^3 + 123*T1^3*T2^3 - 194*T1^4*T2^3 + 100*T1^5*T2^3 + 
      73*T1^6*T2^3 - 191*T1^7*T2^3 + 135*T1^8*T2^3 + 32*T1^9*T2^3 - 
      97*T1^10*T2^3 + 41*T1^11*T2^3 - 97*T2^4 + 60*T1*T2^4 + 91*T1^2*T2^4 - 
      194*T1^3*T2^4 + 96*T1^4*T2^4 + 67*T1^5*T2^4 - 200*T1^6*T2^4 + 
      139*T1^7*T2^4 + 36*T1^8*T2^4 - 158*T1^9*T2^4 + 79*T1^10*T2^4 + 
      12*T1^11*T2^4 - 49*T1^12*T2^4 + 65*T2^5 + 30*T1*T2^5 - 134*T1^2*T2^5 + 
      100*T1^3*T2^5 + 67*T1^4*T2^5 - 149*T1^5*T2^5 + 129*T1^6*T2^5 + 
      32*T1^7*T2^5 - 151*T1^8*T2^5 + 119*T1^9*T2^5 + 43*T1^10*T2^5 - 
      77*T1^11*T2^5 + 36*T1^12*T2^5 + 25*T1^13*T2^5 + 32*T2^6 - 133*T1*T2^6 + 
      107*T1^2*T2^6 + 73*T1^3*T2^6 - 200*T1^4*T2^6 + 129*T1^5*T2^6 + 
      30*T1^6*T2^6 - 162*T1^7*T2^6 + 138*T1^8*T2^6 + 15*T1^9*T2^6 - 
      122*T1^10*T2^6 + 55*T1^11*T2^6 + 35*T1^12*T2^6 - 49*T1^13*T2^6 + 
      8*T1^14*T2^6 - 97*T2^7 + 103*T1*T2^7 + 39*T1^2*T2^7 - 191*T1^3*T2^7 + 
      139*T1^4*T2^7 + 32*T1^5*T2^7 - 162*T1^6*T2^7 + 157*T1^7*T2^7 - 
      29*T1^8*T2^7 - 114*T1^9*T2^7 + 95*T1^10*T2^7 + 7*T1^11*T2^7 - 
      62*T1^12*T2^7 + 24*T1^13*T2^7 + 7*T1^14*T2^7 - 13*T1^15*T2^7 + 
      65*T2^8 + 30*T1*T2^8 - 146*T1^2*T2^8 + 135*T1^3*T2^8 + 36*T1^4*T2^8 - 
      151*T1^5*T2^8 + 138*T1^6*T2^8 - 29*T1^7*T2^8 - 96*T1^8*T2^8 + 
      133*T1^9*T2^8 - 22*T1^10*T2^8 - 53*T1^11*T2^8 + 44*T1^12*T2^8 + 
      13*T1^13*T2^8 - 24*T1^14*T2^8 + 18*T1^15*T2^8 + T1^16*T2^8 - 
      85*T1*T2^9 + 91*T1^2*T2^9 + 32*T1^3*T2^9 - 158*T1^4*T2^9 + 
      119*T1^5*T2^9 + 15*T1^6*T2^9 - 114*T1^7*T2^9 + 133*T1^8*T2^9 - 
      53*T1^9*T2^9 - 66*T1^10*T2^9 + 78*T1^11*T2^9 - 13*T1^12*T2^9 - 
      29*T1^13*T2^9 + 17*T1^14*T2^9 - 5*T1^15*T2^9 - T1^16*T2^9 + 
      24*T1^2*T2^10 - 97*T1^3*T2^10 + 79*T1^4*T2^10 + 43*T1^5*T2^10 - 
      122*T1^6*T2^10 + 95*T1^7*T2^10 - 22*T1^8*T2^10 - 66*T1^9*T2^10 + 
      86*T1^10*T2^10 - 19*T1^11*T2^10 - 44*T1^12*T2^10 + 25*T1^13*T2^10 + 
      7*T1^14*T2^10 - 13*T1^15*T2^10 + 41*T1^3*T2^11 + 12*T1^4*T2^11 - 
      77*T1^5*T2^11 + 55*T1^6*T2^11 + 7*T1^7*T2^11 - 53*T1^8*T2^11 + 
      78*T1^9*T2^11 - 19*T1^10*T2^11 - 55*T1^11*T2^11 + 59*T1^12*T2^11 - 
      2*T1^13*T2^11 - 20*T1^14*T2^11 + 18*T1^15*T2^11 + T1^16*T2^11 - 
      49*T1^4*T2^12 + 36*T1^5*T2^12 + 35*T1^6*T2^12 - 62*T1^7*T2^12 + 
      44*T1^8*T2^12 - 13*T1^9*T2^12 - 44*T1^10*T2^12 + 59*T1^11*T2^12 - 
      16*T1^12*T2^12 - 26*T1^13*T2^12 + 23*T1^14*T2^12 - 12*T1^15*T2^12 - 
      T1^16*T2^12 + 25*T1^5*T2^13 - 49*T1^6*T2^13 + 24*T1^7*T2^13 + 
      13*T1^8*T2^13 - 29*T1^9*T2^13 + 25*T1^10*T2^13 - 2*T1^11*T2^13 - 
      26*T1^12*T2^13 + 25*T1^13*T2^13 - 3*T1^14*T2^13 - 7*T1^15*T2^13 + 
      T1^16*T2^13 + 8*T1^6*T2^14 + 7*T1^7*T2^14 - 24*T1^8*T2^14 + 
      17*T1^9*T2^14 + 7*T1^10*T2^14 - 20*T1^11*T2^14 + 23*T1^12*T2^14 - 
      3*T1^13*T2^14 - 20*T1^14*T2^14 + 19*T1^15*T2^14 - 13*T1^7*T2^15 + 
      18*T1^8*T2^15 - 5*T1^9*T2^15 - 13*T1^10*T2^15 + 18*T1^11*T2^15 - 
      12*T1^12*T2^15 - 7*T1^13*T2^15 + 19*T1^14*T2^15 - 12*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + 
      T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 244] -> 
  {(2 - 4*T + 4*T^2 - 2*T^3 + T^4 - 2*T^5 + 4*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 128*T1^2 - 63*T1^3 + 31*T1^4 - 63*T1^5 + 128*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 31*T1^2*T2 - 97*T1^3*T2 + 
      48*T1^4*T2 + 72*T1^5*T2 - 145*T1^6*T2 + 33*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 128*T2^2 - 31*T1*T2^2 - 104*T1^2*T2^2 + 139*T1^3*T2^2 + 
      29*T1^4*T2^2 - 116*T1^5*T2^2 + 77*T1^6*T2^2 + 107*T1^7*T2^2 - 
      136*T1^8*T2^2 + 33*T1^9*T2^2 + 96*T1^10*T2^2 - 63*T2^3 - 97*T1*T2^3 + 
      139*T1^2*T2^3 - 50*T1^3*T2^3 - 117*T1^4*T2^3 + 72*T1^5*T2^3 + 
      48*T1^6*T2^3 - 153*T1^7*T2^3 + 30*T1^8*T2^3 + 91*T1^9*T2^3 - 
      113*T1^10*T2^3 - 39*T1^11*T2^3 + 31*T2^4 + 48*T1*T2^4 + 29*T1^2*T2^4 - 
      117*T1^3*T2^4 + 144*T1^4*T2^4 - 11*T1^5*T2^4 - 52*T1^6*T2^4 + 
      21*T1^7*T2^4 + 120*T1^8*T2^4 - 133*T1^9*T2^4 + 61*T1^10*T2^4 + 
      48*T1^11*T2^4 + 15*T1^12*T2^4 - 63*T2^5 + 72*T1*T2^5 - 116*T1^2*T2^5 + 
      72*T1^3*T2^5 - 11*T1^4*T2^5 - 38*T1^5*T2^5 - 28*T1^6*T2^5 + 
      84*T1^7*T2^5 - 106*T1^8*T2^5 + 25*T1^9*T2^5 + 32*T1^10*T2^5 - 
      68*T1^11*T2^5 + 16*T1^12*T2^5 - 23*T1^13*T2^5 + 128*T2^6 - 
      145*T1*T2^6 + 77*T1^2*T2^6 + 48*T1^3*T2^6 - 52*T1^4*T2^6 - 
      28*T1^5*T2^6 + 105*T1^6*T2^6 - 45*T1^7*T2^6 - 31*T1^8*T2^6 + 
      84*T1^9*T2^6 - 52*T1^10*T2^6 + 48*T1^11*T2^6 - 3*T1^12*T2^6 - 
      17*T1^13*T2^6 + 32*T1^14*T2^6 - 129*T2^7 + 33*T1*T2^7 + 107*T1^2*T2^7 - 
      153*T1^3*T2^7 + 21*T1^4*T2^7 + 84*T1^5*T2^7 - 45*T1^6*T2^7 - 
      80*T1^7*T2^7 + 86*T1^8*T2^7 - 33*T1^9*T2^7 - 28*T1^10*T2^7 + 
      T1^11*T2^7 - 37*T1^12*T2^7 + 59*T1^13*T2^7 - 31*T1^14*T2^7 - 
      17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 136*T1^2*T2^8 + 30*T1^3*T2^8 + 
      120*T1^4*T2^8 - 106*T1^5*T2^8 - 31*T1^6*T2^8 + 86*T1^7*T2^8 + 
      12*T1^8*T2^8 - 82*T1^9*T2^8 + 81*T1^10*T2^8 - 26*T1^11*T2^8 + 
      56*T1^12*T2^8 - 50*T1^13*T2^8 - 8*T1^14*T2^8 + 32*T1^15*T2^8 + 
      T1^16*T2^8 - 113*T1*T2^9 + 33*T1^2*T2^9 + 91*T1^3*T2^9 - 
      133*T1^4*T2^9 + 25*T1^5*T2^9 + 84*T1^6*T2^9 - 33*T1^7*T2^9 - 
      82*T1^8*T2^9 + 84*T1^9*T2^9 - 21*T1^10*T2^9 - 28*T1^11*T2^9 + 
      5*T1^12*T2^9 - 17*T1^13*T2^9 + 43*T1^14*T2^9 - 31*T1^15*T2^9 - 
      T1^16*T2^9 + 96*T1^2*T2^10 - 113*T1^3*T2^10 + 61*T1^4*T2^10 + 
      32*T1^5*T2^10 - 52*T1^6*T2^10 - 28*T1^7*T2^10 + 81*T1^8*T2^10 - 
      21*T1^9*T2^10 - 55*T1^10*T2^10 + 84*T1^11*T2^10 - 52*T1^12*T2^10 + 
      32*T1^13*T2^10 - 19*T1^14*T2^10 + 15*T1^15*T2^10 - 39*T1^3*T2^11 + 
      48*T1^4*T2^11 - 68*T1^5*T2^11 + 48*T1^6*T2^11 + T1^7*T2^11 - 
      26*T1^8*T2^11 - 28*T1^9*T2^11 + 84*T1^10*T2^11 - 94*T1^11*T2^11 + 
      37*T1^12*T2^11 + 8*T1^13*T2^11 - 20*T1^14*T2^11 - 8*T1^15*T2^11 + 
      T1^16*T2^11 + 15*T1^4*T2^12 + 16*T1^5*T2^12 - 3*T1^6*T2^12 - 
      37*T1^7*T2^12 + 56*T1^8*T2^12 + 5*T1^9*T2^12 - 52*T1^10*T2^12 + 
      37*T1^11*T2^12 + 32*T1^12*T2^12 - 53*T1^13*T2^12 + 29*T1^14*T2^12 + 
      16*T1^15*T2^12 - T1^16*T2^12 - 23*T1^5*T2^13 - 17*T1^6*T2^13 + 
      59*T1^7*T2^13 - 50*T1^8*T2^13 - 17*T1^9*T2^13 + 32*T1^10*T2^13 + 
      8*T1^11*T2^13 - 53*T1^12*T2^13 + 30*T1^13*T2^13 + 11*T1^14*T2^13 - 
      33*T1^15*T2^13 + T1^16*T2^13 + 32*T1^6*T2^14 - 31*T1^7*T2^14 - 
      8*T1^8*T2^14 + 43*T1^9*T2^14 - 19*T1^10*T2^14 - 20*T1^11*T2^14 + 
      29*T1^12*T2^14 + 11*T1^13*T2^14 - 40*T1^14*T2^14 + 33*T1^15*T2^14 - 
      17*T1^7*T2^15 + 32*T1^8*T2^15 - 31*T1^9*T2^15 + 15*T1^10*T2^15 - 
      8*T1^11*T2^15 + 16*T1^12*T2^15 - 33*T1^13*T2^15 + 33*T1^14*T2^15 - 
      16*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - 
      T1^12*T2^16 + T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 245] -> 
  {(4 - 8*T + 6*T^2 - 3*T^3 + 6*T^4 - 8*T^5 + 4*T^6)/T^3, 
   -((400 - 792*T1 + 584*T1^2 - 280*T1^3 + 584*T1^4 - 792*T1^5 + 400*T1^6 - 
      792*T2 + 908*T1*T2 + 152*T1^2*T2 - 408*T1^3*T2 - 696*T1^4*T2 + 
      600*T1^5*T2 + 524*T1^6*T2 - 664*T1^7*T2 + 584*T2^2 + 152*T1*T2^2 - 
      1370*T1^2*T2^2 + 767*T1^3*T2^2 + 460*T1^4*T2^2 + 527*T1^5*T2^2 - 
      1466*T1^6*T2^2 + 536*T1^7*T2^2 + 392*T1^8*T2^2 - 280*T2^3 - 
      408*T1*T2^3 + 767*T1^2*T2^3 + 140*T1^3*T2^3 - 573*T1^4*T2^3 - 
      501*T1^5*T2^3 + 560*T1^6*T2^3 + 407*T1^7*T2^3 - 504*T1^8*T2^3 - 
      136*T1^9*T2^3 + 584*T2^4 - 696*T1*T2^4 + 460*T1^2*T2^4 - 
      573*T1^3*T2^4 + 839*T1^4*T2^4 - 545*T1^5*T2^4 + 407*T1^6*T2^4 - 
      381*T1^7*T2^4 + 268*T1^8*T2^4 - 120*T1^9*T2^4 + 200*T1^10*T2^4 - 
      792*T2^5 + 600*T1*T2^5 + 527*T1^2*T2^5 - 501*T1^3*T2^5 - 
      545*T1^4*T2^5 + 402*T1^5*T2^5 + 336*T1^6*T2^5 - 341*T1^7*T2^5 - 
      333*T1^8*T2^5 + 407*T1^9*T2^5 - 104*T1^10*T2^5 - 152*T1^11*T2^5 + 
      400*T2^6 + 524*T1*T2^6 - 1466*T1^2*T2^6 + 560*T1^3*T2^6 + 
      407*T1^4*T2^6 + 336*T1^5*T2^6 - 864*T1^6*T2^6 + 232*T1^7*T2^6 + 
      455*T1^8*T2^6 - 112*T1^9*T2^6 - 282*T1^10*T2^6 + 268*T1^11*T2^6 + 
      16*T1^12*T2^6 - 664*T1*T2^7 + 536*T1^2*T2^7 + 407*T1^3*T2^7 - 
      381*T1^4*T2^7 - 341*T1^5*T2^7 + 232*T1^6*T2^7 + 166*T1^7*T2^7 - 
      137*T1^8*T2^7 - 213*T1^9*T2^7 + 287*T1^10*T2^7 - 168*T1^11*T2^7 - 
      24*T1^12*T2^7 + 392*T1^2*T2^8 - 504*T1^3*T2^8 + 268*T1^4*T2^8 - 
      333*T1^5*T2^8 + 455*T1^6*T2^8 - 137*T1^7*T2^8 + 23*T1^8*T2^8 - 
      141*T1^9*T2^8 + 76*T1^10*T2^8 + 72*T1^11*T2^8 + 8*T1^12*T2^8 - 
      136*T1^3*T2^9 - 120*T1^4*T2^9 + 407*T1^5*T2^9 - 112*T1^6*T2^9 - 
      213*T1^7*T2^9 - 141*T1^8*T2^9 + 308*T1^9*T2^9 + 47*T1^10*T2^9 - 
      216*T1^11*T2^9 + 8*T1^12*T2^9 + 200*T1^4*T2^10 - 104*T1^5*T2^10 - 
      282*T1^6*T2^10 + 287*T1^7*T2^10 + 76*T1^8*T2^10 + 47*T1^9*T2^10 - 
      378*T1^10*T2^10 + 280*T1^11*T2^10 + 8*T1^12*T2^10 - 152*T1^5*T2^11 + 
      268*T1^6*T2^11 - 168*T1^7*T2^11 + 72*T1^8*T2^11 - 216*T1^9*T2^11 + 
      280*T1^10*T2^11 - 116*T1^11*T2^11 - 24*T1^12*T2^11 + 16*T1^6*T2^12 - 
      24*T1^7*T2^12 + 8*T1^8*T2^12 + 8*T1^9*T2^12 + 8*T1^10*T2^12 - 
      24*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 246] -> {(5 - 17*T + 25*T^2 - 17*T^3 + 5*T^4)/T^2, 
   (-250 + 853*T1 - 1252*T1^2 + 853*T1^3 - 250*T1^4 + 853*T2 - 2465*T1*T2 + 
     2798*T1^2*T2 - 772*T1^3*T2 - 595*T1^4*T2 + 428*T1^5*T2 - 1252*T2^2 + 
     2798*T1*T2^2 - 1404*T1^2*T2^2 - 2834*T1^3*T2^2 + 3596*T1^4*T2^2 - 
     1452*T1^5*T2^2 - 2*T1^6*T2^2 + 853*T2^3 - 772*T1*T2^3 - 2834*T1^2*T2^3 + 
     7200*T1^3*T2^3 - 5040*T1^4*T2^3 + 141*T1^5*T2^3 + 1438*T1^6*T2^3 - 
     422*T1^7*T2^3 - 250*T2^4 - 595*T1*T2^4 + 3596*T1^2*T2^4 - 
     5040*T1^3*T2^4 + 276*T1^4*T2^4 + 4820*T1^5*T2^4 - 3730*T1^6*T2^4 + 
     595*T1^7*T2^4 + 250*T1^8*T2^4 + 428*T1*T2^5 - 1452*T1^2*T2^5 + 
     141*T1^3*T2^5 + 4820*T1^4*T2^5 - 7420*T1^5*T2^5 + 3116*T1^6*T2^5 + 
     758*T1^7*T2^5 - 847*T1^8*T2^5 - 2*T1^2*T2^6 + 1438*T1^3*T2^6 - 
     3730*T1^4*T2^6 + 3116*T1^5*T2^6 + 1270*T1^6*T2^6 - 2812*T1^7*T2^6 + 
     1248*T1^8*T2^6 - 422*T1^3*T2^7 + 595*T1^4*T2^7 + 758*T1^5*T2^7 - 
     2812*T1^6*T2^7 + 2465*T1^7*T2^7 - 847*T1^8*T2^7 + 250*T1^4*T2^8 - 
     847*T1^5*T2^8 + 1248*T1^6*T2^8 - 847*T1^7*T2^8 + 250*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 247] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-90 + 389*T1 - 566*T1^2 + 389*T1^3 - 90*T1^4 + 389*T2 - 1419*T1*T2 + 
      1268*T1^2*T2 + 20*T1^3*T2 - 795*T1^4*T2 + 272*T1^5*T2 - 566*T2^2 + 
      1268*T1*T2^2 + 1405*T1^2*T2^2 - 4053*T1^3*T2^2 + 3229*T1^4*T2^2 - 
      214*T1^5*T2^2 - 224*T1^6*T2^2 + 389*T2^3 + 20*T1*T2^3 - 
      4053*T1^2*T2^3 + 4866*T1^3*T2^3 - 1166*T1^4*T2^3 - 2324*T1^5*T2^3 + 
      800*T1^6*T2^3 + 38*T1^7*T2^3 - 90*T2^4 - 795*T1*T2^4 + 3229*T1^2*T2^4 - 
      1166*T1^3*T2^4 - 2808*T1^4*T2^4 + 3774*T1^5*T2^4 - 481*T1^6*T2^4 - 
      249*T1^7*T2^4 + 18*T1^8*T2^4 + 272*T1*T2^5 - 214*T1^2*T2^5 - 
      2324*T1^3*T2^5 + 3774*T1^4*T2^5 - 2258*T1^5*T2^5 - 595*T1^6*T2^5 + 
      566*T1^7*T2^5 - 79*T1^8*T2^5 - 224*T1^2*T2^6 + 800*T1^3*T2^6 - 
      481*T1^4*T2^6 - 595*T1^5*T2^6 + 1343*T1^6*T2^6 - 682*T1^7*T2^6 + 
      118*T1^8*T2^6 + 38*T1^3*T2^7 - 249*T1^4*T2^7 + 566*T1^5*T2^7 - 
      682*T1^6*T2^7 + 375*T1^7*T2^7 - 79*T1^8*T2^7 + 18*T1^4*T2^8 - 
      79*T1^5*T2^8 + 118*T1^6*T2^8 - 79*T1^7*T2^8 + 18*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 248] -> 
  {(3 - 6*T + 7*T^2 - 6*T^3 + 3*T^4)/T^2, 
   (-45 + 90*T1 - 103*T1^2 + 90*T1^3 - 45*T1^4 + 90*T2 - 144*T1*T2 + 
     134*T1^2*T2 - 100*T1^3*T2 + 18*T1^4*T2 + 36*T1^5*T2 - 103*T2^2 + 
     134*T1*T2^2 + 40*T1^2*T2^2 - 186*T1^3*T2^2 + 208*T1^4*T2^2 - 
     118*T1^5*T2^2 + 23*T1^6*T2^2 + 90*T2^3 - 100*T1*T2^3 - 186*T1^2*T2^3 + 
     148*T1^3*T2^3 + 88*T1^4*T2^3 - 186*T1^5*T2^3 + 98*T1^6*T2^3 - 
     72*T1^7*T2^3 - 45*T2^4 + 18*T1*T2^4 + 208*T1^2*T2^4 + 88*T1^3*T2^4 - 
     300*T1^4*T2^4 + 160*T1^5*T2^4 + 28*T1^6*T2^4 + 18*T1^7*T2^4 + 
     63*T1^8*T2^4 + 36*T1*T2^5 - 118*T1^2*T2^5 - 186*T1^3*T2^5 + 
     160*T1^4*T2^5 + 100*T1^5*T2^5 - 186*T1^6*T2^5 + 80*T1^7*T2^5 - 
     126*T1^8*T2^5 + 23*T1^2*T2^6 + 98*T1^3*T2^6 + 28*T1^4*T2^6 - 
     186*T1^5*T2^6 + 196*T1^6*T2^6 - 154*T1^7*T2^6 + 149*T1^8*T2^6 - 
     72*T1^3*T2^7 + 18*T1^4*T2^7 + 80*T1^5*T2^7 - 154*T1^6*T2^7 + 
     180*T1^7*T2^7 - 126*T1^8*T2^7 + 63*T1^4*T2^8 - 126*T1^5*T2^8 + 
     149*T1^6*T2^8 - 126*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 249] -> 
  {-((3 - 12*T + 17*T^2 - 12*T^3 + 3*T^4)/T^2), 
   -((-90 + 360*T1 - 508*T1^2 + 360*T1^3 - 90*T1^4 + 360*T2 - 1188*T1*T2 + 
      1015*T1^2*T2 - 29*T1^3*T2 - 648*T1^4*T2 + 252*T1^5*T2 - 508*T2^2 + 
      1015*T1*T2^2 + 1019*T1^2*T2^2 - 2855*T1^3*T2^2 + 2447*T1^4*T2^2 - 
      209*T1^5*T2^2 - 202*T1^6*T2^2 + 360*T2^3 - 29*T1*T2^3 - 
      2855*T1^2*T2^3 + 3308*T1^3*T2^3 - 988*T1^4*T2^3 - 1631*T1^5*T2^3 + 
      655*T1^6*T2^3 + 36*T1^7*T2^3 - 90*T2^4 - 648*T1*T2^4 + 2447*T1^2*T2^4 - 
      988*T1^3*T2^4 - 1620*T1^4*T2^4 + 2612*T1^5*T2^4 - 397*T1^6*T2^4 - 
      216*T1^7*T2^4 + 18*T1^8*T2^4 + 252*T1*T2^5 - 209*T1^2*T2^5 - 
      1631*T1^3*T2^5 + 2612*T1^4*T2^5 - 1684*T1^5*T2^5 - 407*T1^6*T2^5 + 
      475*T1^7*T2^5 - 72*T1^8*T2^5 - 202*T1^2*T2^6 + 655*T1^3*T2^6 - 
      397*T1^4*T2^6 - 407*T1^5*T2^6 + 1031*T1^6*T2^6 - 569*T1^7*T2^6 + 
      104*T1^8*T2^6 + 36*T1^3*T2^7 - 216*T1^4*T2^7 + 475*T1^5*T2^7 - 
      569*T1^6*T2^7 + 324*T1^7*T2^7 - 72*T1^8*T2^7 + 18*T1^4*T2^8 - 
      72*T1^5*T2^8 + 104*T1^6*T2^8 - 72*T1^7*T2^8 + 18*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 250] -> 
  {(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4)/T^2, 
   (-45 + 154*T1 - 231*T1^2 + 154*T1^3 - 45*T1^4 + 154*T2 - 454*T1*T2 + 
     562*T1^2*T2 - 188*T1^3*T2 - 64*T1^4*T2 + 64*T1^5*T2 - 231*T2^2 + 
     562*T1*T2^2 - 452*T1^2*T2^2 - 386*T1^3*T2^2 + 628*T1^4*T2^2 - 
     338*T1^5*T2^2 + 39*T1^6*T2^2 + 154*T2^3 - 188*T1*T2^3 - 386*T1^2*T2^3 + 
     1418*T1^3*T2^3 - 1162*T1^4*T2^3 + 214*T1^5*T2^3 + 262*T1^6*T2^3 - 
     116*T1^7*T2^3 - 45*T2^4 - 64*T1*T2^4 + 628*T1^2*T2^4 - 1162*T1^3*T2^4 + 
     324*T1^4*T2^4 + 878*T1^5*T2^4 - 832*T1^6*T2^4 + 176*T1^7*T2^4 + 
     63*T1^8*T2^4 + 64*T1*T2^5 - 338*T1^2*T2^5 + 214*T1^3*T2^5 + 
     878*T1^4*T2^5 - 1702*T1^5*T2^5 + 814*T1^6*T2^5 + 112*T1^7*T2^5 - 
     206*T1^8*T2^5 + 39*T1^2*T2^6 + 262*T1^3*T2^6 - 832*T1^4*T2^6 + 
     814*T1^5*T2^6 + 248*T1^6*T2^6 - 638*T1^7*T2^6 + 309*T1^8*T2^6 - 
     116*T1^3*T2^7 + 176*T1^4*T2^7 + 112*T1^5*T2^7 - 638*T1^6*T2^7 + 
     566*T1^7*T2^7 - 206*T1^8*T2^7 + 63*T1^4*T2^8 - 206*T1^5*T2^8 + 
     309*T1^6*T2^8 - 206*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 251] -> 
  {(3 - 5*T + 2*T^2 + T^3 + 2*T^4 - 5*T^5 + 3*T^6)/T^3, 
   -((171 - 283*T1 + 112*T1^2 + 59*T1^3 + 112*T1^4 - 283*T1^5 + 171*T1^6 - 
      283*T2 + 231*T1*T2 + 208*T1^2*T2 - 253*T1^3*T2 - 268*T1^4*T2 + 
      313*T1^5*T2 + 111*T1^6*T2 - 238*T1^7*T2 + 112*T2^2 + 208*T1*T2^2 - 
      503*T1^2*T2^2 + 171*T1^3*T2^2 + 259*T1^4*T2^2 + 99*T1^5*T2^2 - 
      491*T1^6*T2^2 + 268*T1^7*T2^2 + 76*T1^8*T2^2 + 59*T2^3 - 253*T1*T2^3 + 
      171*T1^2*T2^3 + 147*T1^3*T2^3 - 141*T1^4*T2^3 - 214*T1^5*T2^3 + 
      235*T1^6*T2^3 + 73*T1^7*T2^3 - 178*T1^8*T2^3 + 32*T1^9*T2^3 + 
      112*T2^4 - 268*T1*T2^4 + 259*T1^2*T2^4 - 141*T1^3*T2^4 + 
      124*T1^4*T2^4 - 194*T1^5*T2^4 + 208*T1^6*T2^4 - 175*T1^7*T2^4 + 
      161*T1^8*T2^4 - 118*T1^9*T2^4 + 40*T1^10*T2^4 - 283*T2^5 + 
      313*T1*T2^5 + 99*T1^2*T2^5 - 214*T1^3*T2^5 - 194*T1^4*T2^5 + 
      343*T1^5*T2^5 - 45*T1^6*T2^5 - 118*T1^7*T2^5 - 63*T1^8*T2^5 + 
      93*T1^9*T2^5 + 28*T1^10*T2^5 - 58*T1^11*T2^5 + 171*T2^6 + 111*T1*T2^6 - 
      491*T1^2*T2^6 + 235*T1^3*T2^6 + 208*T1^4*T2^6 - 45*T1^5*T2^6 - 
      324*T1^6*T2^6 + 277*T1^7*T2^6 + 8*T1^8*T2^6 + 21*T1^9*T2^6 - 
      123*T1^10*T2^6 + 81*T1^11*T2^6 + 9*T1^12*T2^6 - 238*T1*T2^7 + 
      268*T1^2*T2^7 + 73*T1^3*T2^7 - 175*T1^4*T2^7 - 118*T1^5*T2^7 + 
      277*T1^6*T2^7 - 111*T1^7*T2^7 - 42*T1^8*T2^7 - 24*T1^9*T2^7 + 
      67*T1^10*T2^7 - 17*T1^11*T2^7 - 13*T1^12*T2^7 + 76*T1^2*T2^8 - 
      178*T1^3*T2^8 + 161*T1^4*T2^8 - 63*T1^5*T2^8 + 8*T1^6*T2^8 - 
      42*T1^7*T2^8 + 92*T1^8*T2^8 - 97*T1^9*T2^8 + 63*T1^10*T2^8 - 
      28*T1^11*T2^8 + 4*T1^12*T2^8 + 32*T1^3*T2^9 - 118*T1^4*T2^9 + 
      93*T1^5*T2^9 + 21*T1^6*T2^9 - 24*T1^7*T2^9 - 97*T1^8*T2^9 + 
      109*T1^9*T2^9 - 5*T1^10*T2^9 - 43*T1^11*T2^9 + 5*T1^12*T2^9 + 
      40*T1^4*T2^10 + 28*T1^5*T2^10 - 123*T1^6*T2^10 + 67*T1^7*T2^10 + 
      63*T1^8*T2^10 - 5*T1^9*T2^10 - 111*T1^10*T2^10 + 88*T1^11*T2^10 + 
      4*T1^12*T2^10 - 58*T1^5*T2^11 + 81*T1^6*T2^11 - 17*T1^7*T2^11 - 
      28*T1^8*T2^11 - 43*T1^9*T2^11 + 88*T1^10*T2^11 - 39*T1^11*T2^11 - 
      13*T1^12*T2^11 + 9*T1^6*T2^12 - 13*T1^7*T2^12 + 4*T1^8*T2^12 + 
      5*T1^9*T2^12 + 4*T1^10*T2^12 - 13*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 252] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 230*T1^2 + 287*T1^3 - 230*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 500*T1*T2 + 776*T1^2*T2 - 686*T1^3*T2 + 214*T1^4*T2 + 
      176*T1^5*T2 - 260*T1^6*T2 + 75*T1^7*T2 - 230*T2^2 + 776*T1*T2^2 - 
      477*T1^2*T2^2 - 629*T1^3*T2^2 + 1827*T1^4*T2^2 - 1829*T1^5*T2^2 + 
      963*T1^6*T2^2 - 24*T1^7*T2^2 - 70*T1^8*T2^2 + 287*T2^3 - 686*T1*T2^3 - 
      629*T1^2*T2^3 + 2520*T1^3*T2^3 - 3138*T1^4*T2^3 + 1362*T1^5*T2^3 + 
      570*T1^6*T2^3 - 1229*T1^7*T2^3 + 414*T1^8*T2^3 - 13*T1^9*T2^3 - 
      230*T2^4 + 214*T1*T2^4 + 1827*T1^2*T2^4 - 3138*T1^3*T2^4 + 
      1190*T1^4*T2^4 + 2386*T1^5*T2^4 - 3430*T1^6*T2^4 + 1862*T1^7*T2^4 + 
      27*T1^8*T2^4 - 386*T1^9*T2^4 + 90*T1^10*T2^4 + 115*T2^5 + 176*T1*T2^5 - 
      1829*T1^2*T2^5 + 1362*T1^3*T2^5 + 2386*T1^4*T2^5 - 4056*T1^5*T2^5 + 
      1644*T1^6*T2^5 + 1586*T1^7*T2^5 - 2138*T1^8*T2^5 + 1171*T1^9*T2^5 - 
      24*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 260*T1*T2^6 + 963*T1^2*T2^6 + 
      570*T1^3*T2^6 - 3430*T1^4*T2^6 + 1644*T1^5*T2^6 + 1896*T1^6*T2^6 - 
      3396*T1^7*T2^6 + 1450*T1^8*T2^6 - 30*T1^9*T2^6 - 957*T1^10*T2^6 + 
      300*T1^11*T2^6 + 25*T1^12*T2^6 + 75*T1*T2^7 - 24*T1^2*T2^7 - 
      1229*T1^3*T2^7 + 1862*T1^4*T2^7 + 1586*T1^5*T2^7 - 3396*T1^6*T2^7 + 
      2304*T1^7*T2^7 + 786*T1^8*T2^7 - 1638*T1^9*T2^7 + 1771*T1^10*T2^7 - 
      224*T1^11*T2^7 - 125*T1^12*T2^7 - 70*T1^2*T2^8 + 414*T1^3*T2^8 + 
      27*T1^4*T2^8 - 2138*T1^5*T2^8 + 1450*T1^6*T2^8 + 786*T1^7*T2^8 - 
      3170*T1^8*T2^8 + 2862*T1^9*T2^8 - 1773*T1^10*T2^8 - 186*T1^11*T2^8 + 
      250*T1^12*T2^8 - 13*T1^3*T2^9 - 386*T1^4*T2^9 + 1171*T1^5*T2^9 - 
      30*T1^6*T2^9 - 1638*T1^7*T2^9 + 2862*T1^8*T2^9 - 1980*T1^9*T2^9 + 
      571*T1^10*T2^9 + 714*T1^11*T2^9 - 313*T1^12*T2^9 + 90*T1^4*T2^10 - 
      24*T1^5*T2^10 - 957*T1^6*T2^10 + 1771*T1^7*T2^10 - 1773*T1^8*T2^10 + 
      571*T1^9*T2^10 + 483*T1^10*T2^10 - 824*T1^11*T2^10 + 250*T1^12*T2^10 - 
      85*T1^5*T2^11 + 300*T1^6*T2^11 - 224*T1^7*T2^11 - 186*T1^8*T2^11 + 
      714*T1^9*T2^11 - 824*T1^10*T2^11 + 540*T1^11*T2^11 - 125*T1^12*T2^11 + 
      25*T1^6*T2^12 - 125*T1^7*T2^12 + 250*T1^8*T2^12 - 313*T1^9*T2^12 + 
      250*T1^10*T2^12 - 125*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 253] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-15 + 45*T1 - 90*T1^2 + 113*T1^3 - 90*T1^4 + 45*T1^5 - 15*T1^6 + 45*T2 - 
     114*T1*T2 + 206*T1^2*T2 - 212*T1^3*T2 + 112*T1^4*T2 - 10*T1^5*T2 - 
     18*T1^6*T2 + 21*T1^7*T2 - 90*T2^2 + 206*T1*T2^2 - 323*T1^2*T2^2 + 
     243*T1^3*T2^2 + 13*T1^4*T2^2 - 189*T1^5*T2^2 + 157*T1^6*T2^2 - 
     82*T1^7*T2^2 + 6*T1^8*T2^2 + 113*T2^3 - 212*T1*T2^3 + 243*T1^2*T2^3 - 
     72*T1^3*T2^3 - 188*T1^4*T2^3 + 136*T1^5*T2^3 + 162*T1^6*T2^3 - 
     261*T1^7*T2^3 + 184*T1^8*T2^3 - 67*T1^9*T2^3 - 90*T2^4 + 112*T1*T2^4 + 
     13*T1^2*T2^4 - 188*T1^3*T2^4 + 350*T1^4*T2^4 - 26*T1^5*T2^4 - 
     310*T1^6*T2^4 + 172*T1^7*T2^4 + 85*T1^8*T2^4 - 104*T1^9*T2^4 + 
     102*T1^10*T2^4 + 45*T2^5 - 10*T1*T2^5 - 189*T1^2*T2^5 + 136*T1^3*T2^5 - 
     26*T1^4*T2^5 - 638*T1^5*T2^5 + 814*T1^6*T2^5 - 314*T1^7*T2^5 - 
     116*T1^8*T2^5 + 27*T1^9*T2^5 - 82*T1^10*T2^5 - 75*T1^11*T2^5 - 15*T2^6 - 
     18*T1*T2^6 + 157*T1^2*T2^6 + 162*T1^3*T2^6 - 310*T1^4*T2^6 + 
     814*T1^5*T2^6 - 348*T1^6*T2^6 - 482*T1^7*T2^6 + 698*T1^8*T2^6 - 
     198*T1^9*T2^6 + 157*T1^10*T2^6 + 126*T1^11*T2^6 + 33*T1^12*T2^6 + 
     21*T1*T2^7 - 82*T1^2*T2^7 - 261*T1^3*T2^7 + 172*T1^4*T2^7 - 
     314*T1^5*T2^7 - 482*T1^6*T2^7 + 970*T1^7*T2^7 - 602*T1^8*T2^7 - 
     80*T1^9*T2^7 - 45*T1^10*T2^7 - 154*T1^11*T2^7 - 99*T1^12*T2^7 + 
     6*T1^2*T2^8 + 184*T1^3*T2^8 + 85*T1^4*T2^8 - 116*T1^5*T2^8 + 
     698*T1^6*T2^8 - 602*T1^7*T2^8 + 38*T1^8*T2^8 + 244*T1^9*T2^8 + 
     157*T1^10*T2^8 - 32*T1^11*T2^8 + 198*T1^12*T2^8 - 67*T1^3*T2^9 - 
     104*T1^4*T2^9 + 27*T1^5*T2^9 - 198*T1^6*T2^9 - 80*T1^7*T2^9 + 
     244*T1^8*T2^9 + 36*T1^9*T2^9 - 477*T1^10*T2^9 + 292*T1^11*T2^9 - 
     247*T1^12*T2^9 + 102*T1^4*T2^10 - 82*T1^5*T2^10 + 157*T1^6*T2^10 - 
     45*T1^7*T2^10 + 157*T1^8*T2^10 - 477*T1^9*T2^10 + 637*T1^10*T2^10 - 
     370*T1^11*T2^10 + 198*T1^12*T2^10 - 75*T1^5*T2^11 + 126*T1^6*T2^11 - 
     154*T1^7*T2^11 - 32*T1^8*T2^11 + 292*T1^9*T2^11 - 370*T1^10*T2^11 + 
     222*T1^11*T2^11 - 99*T1^12*T2^11 + 33*T1^6*T2^12 - 99*T1^7*T2^12 + 
     198*T1^8*T2^12 - 247*T1^9*T2^12 + 198*T1^10*T2^12 - 99*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 254] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 163*T1 - 284*T1^2 + 345*T1^3 - 284*T1^4 + 163*T1^5 - 41*T1^6 + 
      163*T2 - 516*T1*T2 + 605*T1^2*T2 - 465*T1^3*T2 + 31*T1^4*T2 + 
      253*T1^5*T2 - 356*T1^6*T2 + 131*T1^7*T2 - 284*T2^2 + 605*T1*T2^2 - 
      48*T1^2*T2^2 - 576*T1^3*T2^2 + 1282*T1^4*T2^2 - 1080*T1^5*T2^2 + 
      624*T1^6*T2^2 + 157*T1^7*T2^2 - 172*T1^8*T2^2 + 345*T2^3 - 
      465*T1*T2^3 - 576*T1^2*T2^3 + 904*T1^3*T2^3 - 1126*T1^4*T2^3 + 
      102*T1^5*T2^3 + 378*T1^6*T2^3 - 884*T1^7*T2^3 + 127*T1^8*T2^3 + 
      141*T1^9*T2^3 - 284*T2^4 + 31*T1*T2^4 + 1282*T1^2*T2^4 - 
      1126*T1^3*T2^4 + 1033*T1^4*T2^4 + 173*T1^5*T2^4 - 71*T1^6*T2^4 + 
      234*T1^7*T2^4 + 674*T1^8*T2^4 - 321*T1^9*T2^4 - 60*T1^10*T2^4 + 
      163*T2^5 + 253*T1*T2^5 - 1080*T1^2*T2^5 + 102*T1^3*T2^5 + 
      173*T1^4*T2^5 - 864*T1^5*T2^5 - 78*T1^6*T2^5 + 201*T1^7*T2^5 - 
      862*T1^8*T2^5 + 12*T1^9*T2^5 + 221*T1^10*T2^5 + 3*T1^11*T2^5 - 
      41*T2^6 - 356*T1*T2^6 + 624*T1^2*T2^6 + 378*T1^3*T2^6 - 71*T1^4*T2^6 - 
      78*T1^5*T2^6 + 1092*T1^6*T2^6 - 726*T1^7*T2^6 + 617*T1^8*T2^6 + 
      418*T1^9*T2^6 - 304*T1^10*T2^6 - 36*T1^11*T2^6 + 7*T1^12*T2^6 + 
      131*T1*T2^7 + 157*T1^2*T2^7 - 884*T1^3*T2^7 + 234*T1^4*T2^7 + 
      201*T1^5*T2^7 - 726*T1^6*T2^7 + 60*T1^7*T2^7 + 229*T1^8*T2^7 - 
      730*T1^9*T2^7 + 208*T1^10*T2^7 + 125*T1^11*T2^7 - 29*T1^12*T2^7 - 
      172*T1^2*T2^8 + 127*T1^3*T2^8 + 674*T1^4*T2^8 - 862*T1^5*T2^8 + 
      617*T1^6*T2^8 + 229*T1^7*T2^8 - 487*T1^8*T2^8 + 498*T1^9*T2^8 + 
      66*T1^10*T2^8 - 225*T1^11*T2^8 + 52*T1^12*T2^8 + 141*T1^3*T2^9 - 
      321*T1^4*T2^9 + 12*T1^5*T2^9 + 418*T1^6*T2^9 - 730*T1^7*T2^9 + 
      498*T1^8*T2^9 - 108*T1^9*T2^9 - 296*T1^10*T2^9 + 271*T1^11*T2^9 - 
      63*T1^12*T2^9 - 60*T1^4*T2^10 + 221*T1^5*T2^10 - 304*T1^6*T2^10 + 
      208*T1^7*T2^10 + 66*T1^8*T2^10 - 296*T1^9*T2^10 + 368*T1^10*T2^10 - 
      227*T1^11*T2^10 + 52*T1^12*T2^10 + 3*T1^5*T2^11 - 36*T1^6*T2^11 + 
      125*T1^7*T2^11 - 225*T1^8*T2^11 + 271*T1^9*T2^11 - 227*T1^10*T2^11 + 
      124*T1^11*T2^11 - 29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 
      52*T1^8*T2^12 - 63*T1^9*T2^12 + 52*T1^10*T2^12 - 29*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 255] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 490*T1^2 + 635*T1^3 - 490*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1030*T1*T2 + 2049*T1^2*T2 - 1593*T1^3*T2 + 63*T1^4*T2 + 
     1041*T1^5*T2 - 694*T1^6*T2 + 149*T1^7*T2 - 490*T2^2 + 2049*T1*T2^2 - 
     2288*T1^2*T2^2 - 2188*T1^3*T2^2 + 6042*T1^4*T2^2 - 5428*T1^5*T2^2 + 
     1072*T1^6*T2^2 + 609*T1^7*T2^2 - 250*T1^8*T2^2 + 635*T2^3 - 
     1593*T1*T2^3 - 2188*T1^2*T2^3 + 11844*T1^3*T2^3 - 12038*T1^4*T2^3 + 
     2974*T1^5*T2^3 + 6318*T1^6*T2^3 - 4168*T1^7*T2^3 + 495*T1^8*T2^3 + 
     167*T1^9*T2^3 - 490*T2^4 + 63*T1*T2^4 + 6042*T1^2*T2^4 - 
     12038*T1^3*T2^4 - 1177*T1^4*T2^4 + 17023*T1^5*T2^4 - 19729*T1^6*T2^4 + 
     4810*T1^7*T2^4 + 2010*T1^8*T2^4 - 945*T1^9*T2^4 - 10*T1^10*T2^4 + 
     197*T2^5 + 1041*T1*T2^5 - 5428*T1^2*T2^5 + 2974*T1^3*T2^5 + 
     17023*T1^4*T2^5 - 24742*T1^5*T2^5 + 12308*T1^6*T2^5 + 8563*T1^7*T2^5 - 
     8366*T1^8*T2^5 + 1592*T1^9*T2^5 + 321*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 694*T1*T2^6 + 1072*T1^2*T2^6 + 6318*T1^3*T2^6 - 
     19729*T1^4*T2^6 + 12308*T1^5*T2^6 + 8064*T1^6*T2^6 - 20452*T1^7*T2^6 + 
     8927*T1^8*T2^6 + 1062*T1^9*T2^6 - 1520*T1^10*T2^6 + 170*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 609*T1^2*T2^7 - 4168*T1^3*T2^7 + 
     4810*T1^4*T2^7 + 8563*T1^5*T2^7 - 20452*T1^6*T2^7 + 16598*T1^7*T2^7 + 
     103*T1^8*T2^7 - 6530*T1^9*T2^7 + 2852*T1^10*T2^7 - 111*T1^11*T2^7 - 
     91*T1^12*T2^7 - 250*T1^2*T2^8 + 495*T1^3*T2^8 + 2010*T1^4*T2^8 - 
     8366*T1^5*T2^8 + 8927*T1^6*T2^8 + 103*T1^7*T2^8 - 9625*T1^8*T2^8 + 
     8482*T1^9*T2^8 - 2022*T1^10*T2^8 - 513*T1^11*T2^8 + 230*T1^12*T2^8 + 
     167*T1^3*T2^9 - 945*T1^4*T2^9 + 1592*T1^5*T2^9 + 1062*T1^6*T2^9 - 
     6530*T1^7*T2^9 + 8482*T1^8*T2^9 - 4464*T1^9*T2^9 - 388*T1^10*T2^9 + 
     1143*T1^11*T2^9 - 301*T1^12*T2^9 - 10*T1^4*T2^10 + 321*T1^5*T2^10 - 
     1520*T1^6*T2^10 + 2852*T1^7*T2^10 - 2022*T1^8*T2^10 - 388*T1^9*T2^10 + 
     1840*T1^10*T2^10 - 1119*T1^11*T2^10 + 230*T1^12*T2^10 - 43*T1^5*T2^11 + 
     170*T1^6*T2^11 - 111*T1^7*T2^11 - 513*T1^8*T2^11 + 1143*T1^9*T2^11 - 
     1119*T1^10*T2^11 + 506*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 230*T1^8*T2^12 - 301*T1^9*T2^12 + 230*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 256] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   -((4 - 9*T1 + 6*T1^2 + 6*T1^3 - 9*T1^4 + 4*T1^5 - 9*T2 + 27*T1*T2 - 
      40*T1^2*T2 + 45*T1^3*T2 - 40*T1^4*T2 + 27*T1^5*T2 - 9*T1^6*T2 + 
      6*T2^2 - 40*T1*T2^2 + 76*T1^2*T2^2 - 119*T1^3*T2^2 + 61*T1^4*T2^2 - 
      20*T1^5*T2^2 - 16*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 + 45*T1*T2^3 - 
      119*T1^2*T2^3 + 251*T1^3*T2^3 - 87*T1^4*T2^3 - T1^5*T2^3 + 
      97*T1^6*T2^3 - 27*T1^7*T2^3 + 6*T1^8*T2^3 - 9*T2^4 - 40*T1*T2^4 + 
      61*T1^2*T2^4 - 87*T1^3*T2^4 - 268*T1^4*T2^4 + 254*T1^5*T2^4 - 
      195*T1^6*T2^4 - 47*T1^7*T2^4 + 32*T1^8*T2^4 - 9*T1^9*T2^4 + 4*T2^5 + 
      27*T1*T2^5 - 20*T1^2*T2^5 - T1^3*T2^5 + 254*T1^4*T2^5 - 12*T1^5*T2^5 - 
      154*T1^6*T2^5 + 287*T1^7*T2^5 - 68*T1^8*T2^5 - 5*T1^9*T2^5 + 
      4*T1^10*T2^5 - 9*T1*T2^6 - 16*T1^2*T2^6 + 97*T1^3*T2^6 - 
      195*T1^4*T2^6 - 154*T1^5*T2^6 + 368*T1^6*T2^6 - 303*T1^7*T2^6 - 
      11*T1^8*T2^6 + 56*T1^9*T2^6 - 9*T1^10*T2^6 + 6*T1^2*T2^7 - 
      27*T1^3*T2^7 - 47*T1^4*T2^7 + 287*T1^5*T2^7 - 303*T1^6*T2^7 + 
      35*T1^7*T2^7 + 169*T1^8*T2^7 - 99*T1^9*T2^7 + 6*T1^10*T2^7 + 
      6*T1^3*T2^8 + 32*T1^4*T2^8 - 68*T1^5*T2^8 - 11*T1^6*T2^8 + 
      169*T1^7*T2^8 - 164*T1^8*T2^8 + 56*T1^9*T2^8 + 6*T1^10*T2^8 - 
      9*T1^4*T2^9 - 5*T1^5*T2^9 + 56*T1^6*T2^9 - 99*T1^7*T2^9 + 
      56*T1^8*T2^9 - 5*T1^9*T2^9 - 9*T1^10*T2^9 + 4*T1^5*T2^10 - 
      9*T1^6*T2^10 + 6*T1^7*T2^10 + 6*T1^8*T2^10 - 9*T1^9*T2^10 + 
      4*T1^10*T2^10)/(T1^6*T2^5*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 257] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (4 - 9*T1 + 6*T1^2 + 6*T1^3 - 9*T1^4 + 4*T1^5 - 9*T2 - 3*T1*T2 + 
     52*T1^2*T2 - 93*T1^3*T2 + 52*T1^4*T2 - 3*T1^5*T2 - 9*T1^6*T2 + 6*T2^2 + 
     52*T1*T2^2 - 156*T1^2*T2^2 + 165*T1^3*T2^2 - 15*T1^4*T2^2 - 
     60*T1^5*T2^2 + 28*T1^6*T2^2 + 6*T1^7*T2^2 + 6*T2^3 - 93*T1*T2^3 + 
     165*T1^2*T2^3 - 27*T1^3*T2^3 - 217*T1^4*T2^3 + 225*T1^5*T2^3 - 
     51*T1^6*T2^3 - 21*T1^7*T2^3 + 6*T1^8*T2^3 - 9*T2^4 + 52*T1*T2^4 - 
     15*T1^2*T2^4 - 217*T1^3*T2^4 + 340*T1^4*T2^4 - 182*T1^5*T2^4 - 
     109*T1^6*T2^4 + 93*T1^7*T2^4 - 20*T1^8*T2^4 - 9*T1^9*T2^4 + 4*T2^5 - 
     3*T1*T2^5 - 60*T1^2*T2^5 + 225*T1^3*T2^5 - 182*T1^4*T2^5 + 
     12*T1^5*T2^5 + 226*T1^6*T2^5 - 63*T1^7*T2^5 - 12*T1^8*T2^5 + 
     29*T1^9*T2^5 + 4*T1^10*T2^5 - 9*T1*T2^6 + 28*T1^2*T2^6 - 51*T1^3*T2^6 - 
     109*T1^4*T2^6 + 226*T1^5*T2^6 - 296*T1^6*T2^6 - T1^7*T2^6 + 
     57*T1^8*T2^6 - 44*T1^9*T2^6 - 9*T1^10*T2^6 + 6*T1^2*T2^7 - 
     21*T1^3*T2^7 + 93*T1^4*T2^7 - 63*T1^5*T2^7 - T1^6*T2^7 + 189*T1^7*T2^7 - 
     123*T1^8*T2^7 + 51*T1^9*T2^7 + 6*T1^10*T2^7 + 6*T1^3*T2^8 - 
     20*T1^4*T2^8 - 12*T1^5*T2^8 + 57*T1^6*T2^8 - 123*T1^7*T2^8 + 
     84*T1^8*T2^8 - 44*T1^9*T2^8 + 6*T1^10*T2^8 - 9*T1^4*T2^9 + 
     29*T1^5*T2^9 - 44*T1^6*T2^9 + 51*T1^7*T2^9 - 44*T1^8*T2^9 + 
     29*T1^9*T2^9 - 9*T1^10*T2^9 + 4*T1^5*T2^10 - 9*T1^6*T2^10 + 
     6*T1^7*T2^10 + 6*T1^8*T2^10 - 9*T1^9*T2^10 + 4*T1^10*T2^10)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 258] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((-3 + 11*T1 - 15*T1^2 + 11*T1^3 - 3*T1^4 + 11*T2 - 30*T1*T2 + 
      26*T1^2*T2 - 10*T1^3*T2 - 10*T1^4*T2 + 7*T1^5*T2 - 15*T2^2 + 
      26*T1*T2^2 + T1^2*T2^2 - 27*T1^3*T2^2 + 41*T1^4*T2^2 - 14*T1^5*T2^2 - 
      5*T1^6*T2^2 + 11*T2^3 - 10*T1*T2^3 - 27*T1^2*T2^3 + 68*T1^3*T2^3 - 
      52*T1^4*T2^3 + 13*T1^5*T2^3 + 18*T1^6*T2^3 - T1^7*T2^3 - 3*T2^4 - 
      10*T1*T2^4 + 41*T1^2*T2^4 - 52*T1^3*T2^4 - 36*T1^4*T2^4 + 
      60*T1^5*T2^4 - 67*T1^6*T2^4 + 6*T1^7*T2^4 + T1^8*T2^4 + 7*T1*T2^5 - 
      14*T1^2*T2^5 + 13*T1^3*T2^5 + 60*T1^4*T2^5 - 60*T1^5*T2^5 + 
      53*T1^6*T2^5 + 14*T1^7*T2^5 - 5*T1^8*T2^5 - 5*T1^2*T2^6 + 
      18*T1^3*T2^6 - 67*T1^4*T2^6 + 53*T1^5*T2^6 - 27*T1^6*T2^6 - 
      22*T1^7*T2^6 + 5*T1^8*T2^6 - T1^3*T2^7 + 6*T1^4*T2^7 + 14*T1^5*T2^7 - 
      22*T1^6*T2^7 + 26*T1^7*T2^7 - 5*T1^8*T2^7 + T1^4*T2^8 - 5*T1^5*T2^8 + 
      5*T1^6*T2^8 - 5*T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 259] -> 
  {(4 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 4*T^6)/T^3, 
   -((388 - 1150*T1 + 1906*T1^2 - 2186*T1^3 + 1906*T1^4 - 1150*T1^5 + 
      388*T1^6 - 1150*T2 + 2460*T1*T2 - 2830*T1^2*T2 + 1797*T1^3*T2 - 
      267*T1^4*T2 - 1294*T1^5*T2 + 1692*T1^6*T2 - 958*T1^7*T2 + 1906*T2^2 - 
      2830*T1*T2^2 + 2116*T1^2*T2^2 - 229*T1^3*T2^2 - 872*T1^4*T2^2 + 
      1531*T1^5*T2^2 - 444*T1^6*T2^2 - 910*T1^7*T2^2 + 1266*T1^8*T2^2 - 
      2186*T2^3 + 1797*T1*T2^3 - 229*T1^2*T2^3 - 1330*T1^3*T2^3 + 
      913*T1^4*T2^3 - 575*T1^5*T2^3 - 1102*T1^6*T2^3 + 1451*T1^7*T2^3 - 
      555*T1^8*T2^3 - 1082*T1^9*T2^3 + 1906*T2^4 - 267*T1*T2^4 - 
      872*T1^2*T2^4 + 913*T1^3*T2^4 + 876*T1^4*T2^4 - 1052*T1^5*T2^4 + 
      1828*T1^6*T2^4 - 559*T1^7*T2^4 - 648*T1^8*T2^4 + 1365*T1^9*T2^4 + 
      626*T1^10*T2^4 - 1150*T2^5 - 1294*T1*T2^5 + 1531*T1^2*T2^5 - 
      575*T1^3*T2^5 - 1052*T1^4*T2^5 + 242*T1^5*T2^5 - 338*T1^6*T2^5 - 
      972*T1^7*T2^5 + 945*T1^8*T2^5 - 469*T1^9*T2^5 - 1294*T1^10*T2^5 - 
      190*T1^11*T2^5 + 388*T2^6 + 1692*T1*T2^6 - 444*T1^2*T2^6 - 
      1102*T1^3*T2^6 + 1828*T1^4*T2^6 - 338*T1^5*T2^6 + 336*T1^6*T2^6 + 
      398*T1^7*T2^6 + 356*T1^8*T2^6 - 814*T1^9*T2^6 + 1348*T1^10*T2^6 + 
      540*T1^11*T2^6 + 4*T1^12*T2^6 - 958*T1*T2^7 - 910*T1^2*T2^7 + 
      1451*T1^3*T2^7 - 559*T1^4*T2^7 - 972*T1^5*T2^7 + 398*T1^6*T2^7 - 
      182*T1^7*T2^7 - 892*T1^8*T2^7 + 961*T1^9*T2^7 - 549*T1^10*T2^7 - 
      910*T1^11*T2^7 + 2*T1^12*T2^7 + 1266*T1^2*T2^8 - 555*T1^3*T2^8 - 
      648*T1^4*T2^8 + 945*T1^5*T2^8 + 356*T1^6*T2^8 - 892*T1^7*T2^8 + 
      1308*T1^8*T2^8 - 527*T1^9*T2^8 - 424*T1^10*T2^8 + 1077*T1^11*T2^8 - 
      14*T1^12*T2^8 - 1082*T1^3*T2^9 + 1365*T1^4*T2^9 - 469*T1^5*T2^9 - 
      814*T1^6*T2^9 + 961*T1^7*T2^9 - 527*T1^8*T2^9 - 586*T1^9*T2^9 + 
      1211*T1^10*T2^9 - 987*T1^11*T2^9 + 22*T1^12*T2^9 + 626*T1^4*T2^10 - 
      1294*T1^5*T2^10 + 1348*T1^6*T2^10 - 549*T1^7*T2^10 - 424*T1^8*T2^10 + 
      1211*T1^9*T2^10 - 1212*T1^10*T2^10 + 626*T1^11*T2^10 - 14*T1^12*T2^10 - 
      190*T1^5*T2^11 + 540*T1^6*T2^11 - 910*T1^7*T2^11 + 1077*T1^8*T2^11 - 
      987*T1^9*T2^11 + 626*T1^10*T2^11 - 228*T1^11*T2^11 + 2*T1^12*T2^11 + 
      4*T1^6*T2^12 + 2*T1^7*T2^12 - 14*T1^8*T2^12 + 22*T1^9*T2^12 - 
      14*T1^10*T2^12 + 2*T1^11*T2^12 + 4*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 260] -> 
  {(3 - 5*T + 5*T^2 - 5*T^3 + 3*T^4)/T^2, 
   (-45 + 74*T1 - 71*T1^2 + 74*T1^3 - 45*T1^4 + 74*T2 - 83*T1*T2 + 
     62*T1^2*T2 - 88*T1^3*T2 + 37*T1^4*T2 + 29*T1^5*T2 - 71*T2^2 + 
     62*T1*T2^2 + 96*T1^2*T2^2 - 168*T1^3*T2^2 + 156*T1^4*T2^2 - 
     88*T1^5*T2^2 + 19*T1^6*T2^2 + 74*T2^3 - 88*T1*T2^3 - 168*T1^2*T2^3 + 
     68*T1^3*T2^3 + 178*T1^4*T2^3 - 193*T1^5*T2^3 + 62*T1^6*T2^3 - 
     61*T1^7*T2^3 - 45*T2^4 + 37*T1*T2^4 + 156*T1^2*T2^4 + 178*T1^3*T2^4 - 
     348*T1^4*T2^4 + 98*T1^5*T2^4 + 86*T1^6*T2^4 + 7*T1^7*T2^4 + 
     63*T1^8*T2^4 + 29*T1*T2^5 - 88*T1^2*T2^5 - 193*T1^3*T2^5 + 
     98*T1^4*T2^5 + 208*T1^5*T2^5 - 218*T1^6*T2^5 + 62*T1^7*T2^5 - 
     106*T1^8*T2^5 + 19*T1^2*T2^6 + 62*T1^3*T2^6 + 86*T1^4*T2^6 - 
     218*T1^5*T2^6 + 146*T1^6*T2^6 - 88*T1^7*T2^6 + 109*T1^8*T2^6 - 
     61*T1^3*T2^7 + 7*T1^4*T2^7 + 62*T1^5*T2^7 - 88*T1^6*T2^7 + 
     127*T1^7*T2^7 - 106*T1^8*T2^7 + 63*T1^4*T2^8 - 106*T1^5*T2^8 + 
     109*T1^6*T2^8 - 106*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 261] -> 
  {((1 - T + T^2)*(1 - 4*T + 5*T^2 - 3*T^3 + 5*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 72*T1^3 - 78*T1^4 + 72*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 110*T1^3*T2 + 90*T1^4*T2 - 
     35*T1^5*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 60*T2^2 + 
     175*T1*T2^2 - 15*T1^2*T2^2 - 332*T1^3*T2^2 + 326*T1^4*T2^2 - 
     429*T1^5*T2^2 + 386*T1^6*T2^2 - 472*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 72*T2^3 - 110*T1*T2^3 - 332*T1^2*T2^3 + 
     688*T1^3*T2^3 - 272*T1^4*T2^3 + 344*T1^5*T2^3 - 114*T1^6*T2^3 + 
     180*T1^7*T2^3 + 406*T1^8*T2^3 - 392*T1^9*T2^3 + 20*T1^10*T2^3 + 
     36*T1^11*T2^3 - 78*T2^4 + 90*T1*T2^4 + 326*T1^2*T2^4 - 272*T1^3*T2^4 - 
     530*T1^4*T2^4 + 252*T1^5*T2^4 - 506*T1^6*T2^4 + 248*T1^7*T2^4 - 
     746*T1^8*T2^4 + 184*T1^9*T2^4 + 246*T1^10*T2^4 - 50*T1^11*T2^4 - 
     26*T1^12*T2^4 + 72*T2^5 - 35*T1*T2^5 - 429*T1^2*T2^5 + 344*T1^3*T2^5 + 
     252*T1^4*T2^5 + 385*T1^5*T2^5 - 72*T1^6*T2^5 + 318*T1^7*T2^5 + 
     295*T1^8*T2^5 + 207*T1^9*T2^5 - 166*T1^10*T2^5 - 174*T1^11*T2^5 + 
     70*T1^12*T2^5 + 12*T1^13*T2^5 - 60*T2^6 + 386*T1^2*T2^6 - 
     114*T1^3*T2^6 - 506*T1^4*T2^6 - 72*T1^5*T2^6 - 476*T1^6*T2^6 + 
     332*T1^7*T2^6 - 836*T1^8*T2^6 + 268*T1^9*T2^6 - 266*T1^10*T2^6 + 
     266*T1^11*T2^6 + 46*T1^12*T2^6 - 60*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     472*T1^2*T2^7 + 180*T1^3*T2^7 + 248*T1^4*T2^7 + 318*T1^5*T2^7 + 
     332*T1^6*T2^7 - 147*T1^7*T2^7 + 333*T1^8*T2^7 + 184*T1^9*T2^7 - 
     172*T1^10*T2^7 + 129*T1^11*T2^7 - 256*T1^12*T2^7 + 68*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     406*T1^3*T2^8 - 746*T1^4*T2^8 + 295*T1^5*T2^8 - 836*T1^6*T2^8 + 
     333*T1^7*T2^8 - 84*T1^8*T2^8 - 293*T1^9*T2^8 + 228*T1^10*T2^8 - 
     59*T1^11*T2^8 + 118*T1^12*T2^8 + 98*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     392*T1^3*T2^9 + 184*T1^4*T2^9 + 207*T1^5*T2^9 + 268*T1^6*T2^9 + 
     184*T1^7*T2^9 - 293*T1^8*T2^9 + 187*T1^9*T2^9 + 36*T1^10*T2^9 - 
     222*T1^11*T2^9 + 88*T1^12*T2^9 - 252*T1^13*T2^9 + 148*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 20*T1^3*T2^10 + 246*T1^4*T2^10 - 
     166*T1^5*T2^10 - 266*T1^6*T2^10 - 172*T1^7*T2^10 + 228*T1^8*T2^10 + 
     36*T1^9*T2^10 - 132*T1^10*T2^10 + 168*T1^11*T2^10 - 26*T1^12*T2^10 + 
     214*T1^13*T2^10 - 94*T1^14*T2^10 - 40*T1^15*T2^10 + 20*T1^16*T2^10 + 
     36*T1^3*T2^11 - 50*T1^4*T2^11 - 174*T1^5*T2^11 + 266*T1^6*T2^11 + 
     129*T1^7*T2^11 - 59*T1^8*T2^11 - 222*T1^9*T2^11 + 168*T1^10*T2^11 - 
     149*T1^11*T2^11 + 84*T1^12*T2^11 - 244*T1^13*T2^11 + 81*T1^14*T2^11 + 
     55*T1^15*T2^11 - 24*T1^16*T2^11 - 26*T1^4*T2^12 + 70*T1^5*T2^12 + 
     46*T1^6*T2^12 - 256*T1^7*T2^12 + 118*T1^8*T2^12 + 88*T1^9*T2^12 - 
     26*T1^10*T2^12 + 84*T1^11*T2^12 - 98*T1^12*T2^12 + 200*T1^13*T2^12 - 
     34*T1^14*T2^12 - 70*T1^15*T2^12 + 26*T1^16*T2^12 + 12*T1^5*T2^13 - 
     60*T1^6*T2^13 + 68*T1^7*T2^13 + 98*T1^8*T2^13 - 252*T1^9*T2^13 + 
     214*T1^10*T2^13 - 244*T1^11*T2^13 + 200*T1^12*T2^13 - 184*T1^13*T2^13 + 
     8*T1^14*T2^13 + 70*T1^15*T2^13 - 24*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 148*T1^9*T2^14 - 94*T1^10*T2^14 + 81*T1^11*T2^14 - 
     34*T1^12*T2^14 + 8*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 40*T1^10*T2^15 + 
     55*T1^11*T2^15 - 70*T1^12*T2^15 + 70*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 24*T1^11*T2^16 + 26*T1^12*T2^16 - 24*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 262] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 115*T1 - 228*T1^2 + 283*T1^3 - 228*T1^4 + 115*T1^5 - 23*T1^6 + 
      115*T2 - 504*T1*T2 + 780*T1^2*T2 - 686*T1^3*T2 + 214*T1^4*T2 + 
      180*T1^5*T2 - 264*T1^6*T2 + 75*T1^7*T2 - 228*T2^2 + 780*T1*T2^2 - 
      481*T1^2*T2^2 - 629*T1^3*T2^2 + 1823*T1^4*T2^2 - 1829*T1^5*T2^2 + 
      959*T1^6*T2^2 - 20*T1^7*T2^2 - 68*T1^8*T2^2 + 283*T2^3 - 686*T1*T2^3 - 
      629*T1^2*T2^3 + 2520*T1^3*T2^3 - 3134*T1^4*T2^3 + 1366*T1^5*T2^3 + 
      570*T1^6*T2^3 - 1229*T1^7*T2^3 + 414*T1^8*T2^3 - 17*T1^9*T2^3 - 
      228*T2^4 + 214*T1*T2^4 + 1823*T1^2*T2^4 - 3134*T1^3*T2^4 + 
      1190*T1^4*T2^4 + 2382*T1^5*T2^4 - 3430*T1^6*T2^4 + 1866*T1^7*T2^4 + 
      23*T1^8*T2^4 - 386*T1^9*T2^4 + 92*T1^10*T2^4 + 115*T2^5 + 180*T1*T2^5 - 
      1829*T1^2*T2^5 + 1366*T1^3*T2^5 + 2382*T1^4*T2^5 - 4060*T1^5*T2^5 + 
      1640*T1^6*T2^5 + 1582*T1^7*T2^5 - 2134*T1^8*T2^5 + 1171*T1^9*T2^5 - 
      20*T1^10*T2^5 - 85*T1^11*T2^5 - 23*T2^6 - 264*T1*T2^6 + 959*T1^2*T2^6 + 
      570*T1^3*T2^6 - 3430*T1^4*T2^6 + 1640*T1^5*T2^6 + 1920*T1^6*T2^6 - 
      3400*T1^7*T2^6 + 1450*T1^8*T2^6 - 30*T1^9*T2^6 - 961*T1^10*T2^6 + 
      296*T1^11*T2^6 + 25*T1^12*T2^6 + 75*T1*T2^7 - 20*T1^2*T2^7 - 
      1229*T1^3*T2^7 + 1866*T1^4*T2^7 + 1582*T1^5*T2^7 - 3400*T1^6*T2^7 + 
      2300*T1^7*T2^7 + 782*T1^8*T2^7 - 1634*T1^9*T2^7 + 1771*T1^10*T2^7 - 
      220*T1^11*T2^7 - 125*T1^12*T2^7 - 68*T1^2*T2^8 + 414*T1^3*T2^8 + 
      23*T1^4*T2^8 - 2134*T1^5*T2^8 + 1450*T1^6*T2^8 + 782*T1^7*T2^8 - 
      3170*T1^8*T2^8 + 2866*T1^9*T2^8 - 1777*T1^10*T2^8 - 186*T1^11*T2^8 + 
      252*T1^12*T2^8 - 17*T1^3*T2^9 - 386*T1^4*T2^9 + 1171*T1^5*T2^9 - 
      30*T1^6*T2^9 - 1634*T1^7*T2^9 + 2866*T1^8*T2^9 - 1980*T1^9*T2^9 + 
      571*T1^10*T2^9 + 714*T1^11*T2^9 - 317*T1^12*T2^9 + 92*T1^4*T2^10 - 
      20*T1^5*T2^10 - 961*T1^6*T2^10 + 1771*T1^7*T2^10 - 1777*T1^8*T2^10 + 
      571*T1^9*T2^10 + 479*T1^10*T2^10 - 820*T1^11*T2^10 + 252*T1^12*T2^10 - 
      85*T1^5*T2^11 + 296*T1^6*T2^11 - 220*T1^7*T2^11 - 186*T1^8*T2^11 + 
      714*T1^9*T2^11 - 820*T1^10*T2^11 + 536*T1^11*T2^11 - 125*T1^12*T2^11 + 
      25*T1^6*T2^12 - 125*T1^7*T2^12 + 252*T1^8*T2^12 - 317*T1^9*T2^12 + 
      252*T1^10*T2^12 - 125*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 263] -> 
  {(2 - 12*T + 30*T^2 - 39*T^3 + 30*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 492*T1^2 + 639*T1^3 - 492*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1026*T1*T2 + 2045*T1^2*T2 - 1593*T1^3*T2 + 63*T1^4*T2 + 
     1037*T1^5*T2 - 690*T1^6*T2 + 149*T1^7*T2 - 492*T2^2 + 2045*T1*T2^2 - 
     2284*T1^2*T2^2 - 2188*T1^3*T2^2 + 6046*T1^4*T2^2 - 5428*T1^5*T2^2 + 
     1076*T1^6*T2^2 + 605*T1^7*T2^2 - 252*T1^8*T2^2 + 639*T2^3 - 
     1593*T1*T2^3 - 2188*T1^2*T2^3 + 11844*T1^3*T2^3 - 12042*T1^4*T2^3 + 
     2970*T1^5*T2^3 + 6318*T1^6*T2^3 - 4168*T1^7*T2^3 + 495*T1^8*T2^3 + 
     171*T1^9*T2^3 - 492*T2^4 + 63*T1*T2^4 + 6046*T1^2*T2^4 - 
     12042*T1^3*T2^4 - 1177*T1^4*T2^4 + 17027*T1^5*T2^4 - 19729*T1^6*T2^4 + 
     4806*T1^7*T2^4 + 2014*T1^8*T2^4 - 945*T1^9*T2^4 - 12*T1^10*T2^4 + 
     197*T2^5 + 1037*T1*T2^5 - 5428*T1^2*T2^5 + 2970*T1^3*T2^5 + 
     17027*T1^4*T2^5 - 24738*T1^5*T2^5 + 12312*T1^6*T2^5 + 8567*T1^7*T2^5 - 
     8370*T1^8*T2^5 + 1592*T1^9*T2^5 + 317*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 690*T1*T2^6 + 1076*T1^2*T2^6 + 6318*T1^3*T2^6 - 
     19729*T1^4*T2^6 + 12312*T1^5*T2^6 + 8040*T1^6*T2^6 - 20448*T1^7*T2^6 + 
     8927*T1^8*T2^6 + 1062*T1^9*T2^6 - 1516*T1^10*T2^6 + 174*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 605*T1^2*T2^7 - 4168*T1^3*T2^7 + 
     4806*T1^4*T2^7 + 8567*T1^5*T2^7 - 20448*T1^6*T2^7 + 16602*T1^7*T2^7 + 
     107*T1^8*T2^7 - 6534*T1^9*T2^7 + 2852*T1^10*T2^7 - 115*T1^11*T2^7 - 
     91*T1^12*T2^7 - 252*T1^2*T2^8 + 495*T1^3*T2^8 + 2014*T1^4*T2^8 - 
     8370*T1^5*T2^8 + 8927*T1^6*T2^8 + 107*T1^7*T2^8 - 9625*T1^8*T2^8 + 
     8478*T1^9*T2^8 - 2018*T1^10*T2^8 - 513*T1^11*T2^8 + 228*T1^12*T2^8 + 
     171*T1^3*T2^9 - 945*T1^4*T2^9 + 1592*T1^5*T2^9 + 1062*T1^6*T2^9 - 
     6534*T1^7*T2^9 + 8478*T1^8*T2^9 - 4464*T1^9*T2^9 - 388*T1^10*T2^9 + 
     1143*T1^11*T2^9 - 297*T1^12*T2^9 - 12*T1^4*T2^10 + 317*T1^5*T2^10 - 
     1516*T1^6*T2^10 + 2852*T1^7*T2^10 - 2018*T1^8*T2^10 - 388*T1^9*T2^10 + 
     1844*T1^10*T2^10 - 1123*T1^11*T2^10 + 228*T1^12*T2^10 - 43*T1^5*T2^11 + 
     174*T1^6*T2^11 - 115*T1^7*T2^11 - 513*T1^8*T2^11 + 1143*T1^9*T2^11 - 
     1123*T1^10*T2^11 + 510*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 228*T1^8*T2^12 - 297*T1^9*T2^12 + 228*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 264] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   -((2*T1^2 - 4*T1^3 + 2*T1^4 - 5*T1^2*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 
      5*T1^5*T2 + 2*T2^2 - 5*T1*T2^2 + 23*T1^2*T2^2 - 40*T1^3*T2^2 + 
      41*T1^4*T2^2 - 40*T1^5*T2^2 + 23*T1^6*T2^2 - 5*T1^7*T2^2 + 
      2*T1^8*T2^2 - 4*T2^3 + 6*T1*T2^3 - 40*T1^2*T2^3 + 76*T1^3*T2^3 - 
      115*T1^4*T2^3 + 65*T1^5*T2^3 - 20*T1^6*T2^3 - 16*T1^7*T2^3 + 
      6*T1^8*T2^3 - 4*T1^9*T2^3 + 2*T2^4 + 6*T1*T2^4 + 41*T1^2*T2^4 - 
      115*T1^3*T2^4 + 251*T1^4*T2^4 - 91*T1^5*T2^4 - T1^6*T2^4 + 
      101*T1^7*T2^4 - 31*T1^8*T2^4 + 6*T1^9*T2^4 + 2*T1^10*T2^4 - 5*T1*T2^5 - 
      40*T1^2*T2^5 + 65*T1^3*T2^5 - 91*T1^4*T2^5 - 272*T1^5*T2^5 + 
      250*T1^6*T2^5 - 199*T1^7*T2^5 - 43*T1^8*T2^5 + 32*T1^9*T2^5 - 
      5*T1^10*T2^5 + 23*T1^2*T2^6 - 20*T1^3*T2^6 - T1^4*T2^6 + 
      250*T1^5*T2^6 + 12*T1^6*T2^6 - 158*T1^7*T2^6 + 287*T1^8*T2^6 - 
      68*T1^9*T2^6 - 9*T1^10*T2^6 - 5*T1^2*T2^7 - 16*T1^3*T2^7 + 
      101*T1^4*T2^7 - 199*T1^5*T2^7 - 158*T1^6*T2^7 + 364*T1^7*T2^7 - 
      307*T1^8*T2^7 - 7*T1^9*T2^7 + 56*T1^10*T2^7 - 5*T1^11*T2^7 + 
      2*T1^2*T2^8 + 6*T1^3*T2^8 - 31*T1^4*T2^8 - 43*T1^5*T2^8 + 
      287*T1^6*T2^8 - 307*T1^7*T2^8 + 35*T1^8*T2^8 + 173*T1^9*T2^8 - 
      103*T1^10*T2^8 + 6*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 + 
      6*T1^4*T2^9 + 32*T1^5*T2^9 - 68*T1^6*T2^9 - 7*T1^7*T2^9 + 
      173*T1^8*T2^9 - 164*T1^9*T2^9 + 56*T1^10*T2^9 + 6*T1^11*T2^9 - 
      4*T1^12*T2^9 + 2*T1^4*T2^10 - 5*T1^5*T2^10 - 9*T1^6*T2^10 + 
      56*T1^7*T2^10 - 103*T1^8*T2^10 + 56*T1^9*T2^10 - 9*T1^10*T2^10 - 
      5*T1^11*T2^10 + 2*T1^12*T2^10 - 5*T1^7*T2^11 + 6*T1^8*T2^11 + 
      6*T1^9*T2^11 - 5*T1^10*T2^11 + 2*T1^8*T2^12 - 4*T1^9*T2^12 + 
      2*T1^10*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 265] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 123*T1 - 214*T1^2 + 229*T1^3 - 214*T1^4 + 123*T1^5 - 31*T1^6 + 
     123*T2 - 398*T1*T2 + 493*T1^2*T2 - 287*T1^3*T2 + 177*T1^4*T2 + 
     141*T1^5*T2 - 238*T1^6*T2 + 91*T1^7*T2 - 214*T2^2 + 493*T1*T2^2 - 
     156*T1^2*T2^2 - 529*T1^3*T2^2 + 566*T1^4*T2^2 - 921*T1^5*T2^2 + 
     516*T1^6*T2^2 + 45*T1^7*T2^2 - 102*T1^8*T2^2 + 229*T2^3 - 287*T1*T2^3 - 
     529*T1^2*T2^3 + 1220*T1^3*T2^3 - 637*T1^4*T2^3 + 631*T1^5*T2^3 + 
     286*T1^6*T2^3 - 669*T1^7*T2^3 + 209*T1^8*T2^3 + 49*T1^9*T2^3 - 
     214*T2^4 + 177*T1*T2^4 + 566*T1^2*T2^4 - 637*T1^3*T2^4 - 637*T1^4*T2^4 + 
     689*T1^5*T2^4 - 973*T1^6*T2^4 + 563*T1^7*T2^4 + 214*T1^8*T2^4 - 
     239*T1^9*T2^4 + 10*T1^10*T2^4 + 123*T2^5 + 141*T1*T2^5 - 921*T1^2*T2^5 + 
     631*T1^3*T2^5 + 689*T1^4*T2^5 - 96*T1^5*T2^5 - 598*T1^6*T2^5 + 
     661*T1^7*T2^5 - 773*T1^8*T2^5 + 227*T1^9*T2^5 + 109*T1^10*T2^5 - 
     37*T1^11*T2^5 - 31*T2^6 - 238*T1*T2^6 + 516*T1^2*T2^6 + 286*T1^3*T2^6 - 
     973*T1^4*T2^6 - 598*T1^5*T2^6 + 1488*T1^6*T2^6 - 462*T1^7*T2^6 + 
     227*T1^8*T2^6 + 374*T1^9*T2^6 - 412*T1^10*T2^6 + 82*T1^11*T2^6 + 
     17*T1^12*T2^6 + 91*T1*T2^7 + 45*T1^2*T2^7 - 669*T1^3*T2^7 + 
     563*T1^4*T2^7 + 661*T1^5*T2^7 - 462*T1^6*T2^7 - 964*T1^7*T2^7 + 
     633*T1^8*T2^7 - 841*T1^9*T2^7 + 479*T1^10*T2^7 + 13*T1^11*T2^7 - 
     69*T1^12*T2^7 - 102*T1^2*T2^8 + 209*T1^3*T2^8 + 214*T1^4*T2^8 - 
     773*T1^5*T2^8 + 227*T1^6*T2^8 + 633*T1^7*T2^8 - 109*T1^8*T2^8 + 
     427*T1^9*T2^8 - 138*T1^10*T2^8 - 207*T1^11*T2^8 + 122*T1^12*T2^8 + 
     49*T1^3*T2^9 - 239*T1^4*T2^9 + 227*T1^5*T2^9 + 374*T1^6*T2^9 - 
     841*T1^7*T2^9 + 427*T1^8*T2^9 - 560*T1^9*T2^9 + 87*T1^10*T2^9 + 
     257*T1^11*T2^9 - 131*T1^12*T2^9 + 10*T1^4*T2^10 + 109*T1^5*T2^10 - 
     412*T1^6*T2^10 + 479*T1^7*T2^10 - 138*T1^8*T2^10 + 87*T1^9*T2^10 + 
     260*T1^10*T2^10 - 339*T1^11*T2^10 + 122*T1^12*T2^10 - 37*T1^5*T2^11 + 
     82*T1^6*T2^11 + 13*T1^7*T2^11 - 207*T1^8*T2^11 + 257*T1^9*T2^11 - 
     339*T1^10*T2^11 + 242*T1^11*T2^11 - 69*T1^12*T2^11 + 17*T1^6*T2^12 - 
     69*T1^7*T2^12 + 122*T1^8*T2^12 - 131*T1^9*T2^12 + 122*T1^10*T2^12 - 
     69*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 266] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 125*T1 - 300*T1^2 + 413*T1^3 - 300*T1^4 + 125*T1^5 - 25*T1^6 + 
      125*T2 - 540*T1*T2 + 1078*T1^2*T2 - 1050*T1^3*T2 + 90*T1^4*T2 + 
      398*T1^5*T2 - 300*T1^6*T2 + 85*T1^7*T2 - 300*T2^2 + 1078*T1*T2^2 - 
      1623*T1^2*T2^2 + 486*T1^3*T2^2 + 2063*T1^4*T2^2 - 1722*T1^5*T2^2 + 
      489*T1^6*T2^2 + 118*T1^7*T2^2 - 108*T1^8*T2^2 + 413*T2^3 - 
      1050*T1*T2^3 + 486*T1^2*T2^3 + 2592*T1^3*T2^3 - 5543*T1^4*T2^3 + 
      1405*T1^5*T2^3 + 1362*T1^6*T2^3 - 1386*T1^7*T2^3 + 450*T1^8*T2^3 + 
      17*T1^9*T2^3 - 300*T2^4 + 90*T1*T2^4 + 2063*T1^2*T2^4 - 
      5543*T1^3*T2^4 + 4908*T1^4*T2^4 + 4704*T1^5*T2^4 - 6048*T1^6*T2^4 + 
      2641*T1^7*T2^4 + 71*T1^8*T2^4 - 510*T1^9*T2^4 + 84*T1^10*T2^4 + 
      125*T2^5 + 398*T1*T2^5 - 1722*T1^2*T2^5 + 1405*T1^3*T2^5 + 
      4704*T1^4*T2^5 - 14054*T1^5*T2^5 + 7810*T1^6*T2^5 + 576*T1^7*T2^5 - 
      3071*T1^8*T2^5 + 1494*T1^9*T2^5 - 42*T1^10*T2^5 - 75*T1^11*T2^5 - 
      25*T2^6 - 300*T1*T2^6 + 489*T1^2*T2^6 + 1362*T1^3*T2^6 - 
      6048*T1^4*T2^6 + 7810*T1^5*T2^6 + 3528*T1^6*T2^6 - 10126*T1^7*T2^6 + 
      6672*T1^8*T2^6 - 1350*T1^9*T2^6 - 631*T1^10*T2^6 + 260*T1^11*T2^6 + 
      23*T1^12*T2^6 + 85*T1*T2^7 + 118*T1^2*T2^7 - 1386*T1^3*T2^7 + 
      2641*T1^4*T2^7 + 576*T1^5*T2^7 - 10126*T1^6*T2^7 + 11738*T1^7*T2^7 - 
      3552*T1^8*T2^7 - 1835*T1^9*T2^7 + 1830*T1^10*T2^7 - 322*T1^11*T2^7 - 
      115*T1^12*T2^7 - 108*T1^2*T2^8 + 450*T1^3*T2^8 + 71*T1^4*T2^8 - 
      3071*T1^5*T2^8 + 6672*T1^6*T2^8 - 3552*T1^7*T2^8 - 4284*T1^8*T2^8 + 
      5113*T1^9*T2^8 - 1921*T1^10*T2^8 - 150*T1^11*T2^8 + 276*T1^12*T2^8 + 
      17*T1^3*T2^9 - 510*T1^4*T2^9 + 1494*T1^5*T2^9 - 1350*T1^6*T2^9 - 
      1835*T1^7*T2^9 + 5113*T1^8*T2^9 - 2580*T1^9*T2^9 - 378*T1^10*T2^9 + 
      990*T1^11*T2^9 - 379*T1^12*T2^9 + 84*T1^4*T2^10 - 42*T1^5*T2^10 - 
      631*T1^6*T2^10 + 1830*T1^7*T2^10 - 1921*T1^8*T2^10 - 378*T1^9*T2^10 + 
      1481*T1^10*T2^10 - 1002*T1^11*T2^10 + 276*T1^12*T2^10 - 75*T1^5*T2^11 + 
      260*T1^6*T2^11 - 322*T1^7*T2^11 - 150*T1^8*T2^11 + 990*T1^9*T2^11 - 
      1002*T1^10*T2^11 + 500*T1^11*T2^11 - 115*T1^12*T2^11 + 23*T1^6*T2^12 - 
      115*T1^7*T2^12 + 276*T1^8*T2^12 - 379*T1^9*T2^12 + 276*T1^10*T2^12 - 
      115*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 267] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   -((2*T1^2 - 4*T1^3 + 2*T1^4 - 4*T1*T2 + 6*T1^2*T2 - 3*T1^3*T2 - 
      3*T1^4*T2 + 6*T1^5*T2 - 4*T1^6*T2 + 2*T2^2 + 6*T1*T2^2 - 
      230*T1^2*T2^2 + 858*T1^3*T2^2 - 1200*T1^4*T2^2 + 858*T1^5*T2^2 - 
      230*T1^6*T2^2 + 6*T1^7*T2^2 + 2*T1^8*T2^2 - 4*T2^3 - 3*T1*T2^3 + 
      858*T1^2*T2^3 - 2766*T1^3*T2^3 + 2434*T1^4*T2^3 - 62*T1^5*T2^3 - 
      1486*T1^6*T2^3 + 602*T1^7*T2^3 - 3*T1^8*T2^3 - 4*T1^9*T2^3 + 2*T2^4 - 
      3*T1*T2^4 - 1200*T1^2*T2^4 + 2434*T1^3*T2^4 + 1990*T1^4*T2^4 - 
      6558*T1^5*T2^4 + 5486*T1^6*T2^4 - 510*T1^7*T2^4 - 464*T1^8*T2^4 - 
      3*T1^9*T2^4 + 2*T1^10*T2^4 + 6*T1*T2^5 + 858*T1^2*T2^5 - 62*T1^3*T2^5 - 
      6558*T1^4*T2^5 + 8232*T1^5*T2^5 - 2280*T1^6*T2^5 - 3614*T1^7*T2^5 + 
      1538*T1^8*T2^5 + 90*T1^9*T2^5 + 6*T1^10*T2^5 - 4*T1*T2^6 - 
      230*T1^2*T2^6 - 1486*T1^3*T2^6 + 5486*T1^4*T2^6 - 2280*T1^5*T2^6 - 
      4596*T1^6*T2^6 + 6424*T1^7*T2^6 - 1234*T1^8*T2^6 - 462*T1^9*T2^6 + 
      26*T1^10*T2^6 - 4*T1^11*T2^6 + 6*T1^2*T2^7 + 602*T1^3*T2^7 - 
      510*T1^4*T2^7 - 3614*T1^5*T2^7 + 6424*T1^6*T2^7 - 4088*T1^7*T2^7 - 
      670*T1^8*T2^7 + 1090*T1^9*T2^7 - 166*T1^10*T2^7 + 6*T1^11*T2^7 + 
      2*T1^2*T2^8 - 3*T1^3*T2^8 - 464*T1^4*T2^8 + 1538*T1^5*T2^8 - 
      1234*T1^6*T2^8 - 670*T1^7*T2^8 + 2262*T1^8*T2^8 - 1406*T1^9*T2^8 + 
      272*T1^10*T2^8 - 3*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 - 
      3*T1^4*T2^9 + 90*T1^5*T2^9 - 462*T1^6*T2^9 + 1090*T1^7*T2^9 - 
      1406*T1^8*T2^9 + 818*T1^9*T2^9 - 166*T1^10*T2^9 - 3*T1^11*T2^9 - 
      4*T1^12*T2^9 + 2*T1^4*T2^10 + 6*T1^5*T2^10 + 26*T1^6*T2^10 - 
      166*T1^7*T2^10 + 272*T1^8*T2^10 - 166*T1^9*T2^10 + 26*T1^10*T2^10 + 
      6*T1^11*T2^10 + 2*T1^12*T2^10 - 4*T1^6*T2^11 + 6*T1^7*T2^11 - 
      3*T1^8*T2^11 - 3*T1^9*T2^11 + 6*T1^10*T2^11 - 4*T1^11*T2^11 + 
      2*T1^8*T2^12 - 4*T1^9*T2^12 + 2*T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 268] -> 
  {-(((-2 + T)*(-1 + 2*T))/T), 
   -((T1 + T1^2 + T2 - 7*T1*T2 - T1^2*T2 - 7*T1^3*T2 + T1^4*T2 + T2^2 - 
      T1*T2^2 - 4*T1^2*T2^2 + 66*T1^3*T2^2 - 21*T1^4*T2^2 + T1^5*T2^2 - 
      7*T1*T2^3 + 66*T1^2*T2^3 - 168*T1^3*T2^3 + 26*T1^4*T2^3 + 9*T1^5*T2^3 + 
      T1*T2^4 - 21*T1^2*T2^4 + 26*T1^3*T2^4 + 96*T1^4*T2^4 - 41*T1^5*T2^4 + 
      T1^6*T2^4 + T1^2*T2^5 + 9*T1^3*T2^5 - 41*T1^4*T2^5 + 9*T1^5*T2^5 + 
      T1^6*T2^5 + T1^4*T2^6 + T1^5*T2^6)/(T1^4*T2^3*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 269] -> 
  {-((1 - 9*T + 28*T^2 - 41*T^3 + 28*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 84*T1^2 + 123*T1^3 - 84*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      225*T1*T2 + 594*T1^2*T2 - 603*T1^3*T2 + 18*T1^4*T2 + 261*T1^5*T2 - 
      135*T1^6*T2 + 18*T1^7*T2 - 84*T2^2 + 594*T1*T2^2 - 922*T1^2*T2^2 - 
      838*T1^3*T2^2 + 3504*T1^4*T2^2 - 2630*T1^5*T2^2 + 590*T1^6*T2^2 + 
      90*T1^7*T2^2 - 28*T1^8*T2^2 + 123*T2^3 - 603*T1*T2^3 - 838*T1^2*T2^3 + 
      6791*T1^3*T2^3 - 10167*T1^4*T2^3 + 2670*T1^5*T2^3 + 2633*T1^6*T2^3 - 
      1762*T1^7*T2^3 + 252*T1^8*T2^3 - 84*T2^4 + 18*T1*T2^4 + 
      3504*T1^2*T2^4 - 10167*T1^3*T2^4 + 6043*T1^4*T2^4 + 11967*T1^5*T2^4 - 
      14549*T1^6*T2^4 + 5167*T1^7*T2^4 - 2*T1^8*T2^4 - 252*T1^9*T2^4 + 
      28*T1^10*T2^4 + 27*T2^5 + 261*T1*T2^5 - 2630*T1^2*T2^5 + 
      2670*T1^3*T2^5 + 11967*T1^4*T2^5 - 31037*T1^5*T2^5 + 20653*T1^6*T2^5 - 
      17*T1^7*T2^5 - 5173*T1^8*T2^5 + 1766*T1^9*T2^5 - 90*T1^10*T2^5 - 
      18*T1^11*T2^5 - 3*T2^6 - 135*T1*T2^6 + 590*T1^2*T2^6 + 2633*T1^3*T2^6 - 
      14549*T1^4*T2^6 + 20653*T1^5*T2^6 + 348*T1^6*T2^6 - 20829*T1^7*T2^6 + 
      14671*T1^8*T2^6 - 2653*T1^9*T2^6 - 590*T1^10*T2^6 + 135*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 90*T1^2*T2^7 - 1762*T1^3*T2^7 + 
      5167*T1^4*T2^7 - 17*T1^5*T2^7 - 20829*T1^6*T2^7 + 30861*T1^7*T2^7 - 
      12001*T1^8*T2^7 - 2676*T1^9*T2^7 + 2634*T1^10*T2^7 - 261*T1^11*T2^7 - 
      27*T1^12*T2^7 - 28*T1^2*T2^8 + 252*T1^3*T2^8 - 2*T1^4*T2^8 - 
      5173*T1^5*T2^8 + 14671*T1^6*T2^8 - 12001*T1^7*T2^8 - 5921*T1^8*T2^8 + 
      10161*T1^9*T2^8 - 3508*T1^10*T2^8 - 18*T1^11*T2^8 + 84*T1^12*T2^8 - 
      252*T1^4*T2^9 + 1766*T1^5*T2^9 - 2653*T1^6*T2^9 - 2676*T1^7*T2^9 + 
      10161*T1^8*T2^9 - 6811*T1^9*T2^9 + 842*T1^10*T2^9 + 603*T1^11*T2^9 - 
      123*T1^12*T2^9 + 28*T1^4*T2^10 - 90*T1^5*T2^10 - 590*T1^6*T2^10 + 
      2634*T1^7*T2^10 - 3508*T1^8*T2^10 + 842*T1^9*T2^10 + 922*T1^10*T2^10 - 
      594*T1^11*T2^10 + 84*T1^12*T2^10 - 18*T1^5*T2^11 + 135*T1^6*T2^11 - 
      261*T1^7*T2^11 - 18*T1^8*T2^11 + 603*T1^9*T2^11 - 594*T1^10*T2^11 + 
      225*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      84*T1^8*T2^12 - 123*T1^9*T2^12 + 84*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 270] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   -((-18 + 97*T1 - 154*T1^2 + 97*T1^3 - 18*T1^4 + 97*T2 - 560*T1*T2 + 
      1070*T1^2*T2 - 898*T1^3*T2 + 352*T1^4*T2 - 47*T1^5*T2 - 154*T2^2 + 
      1070*T1*T2^2 - 2401*T1^2*T2^2 + 1351*T1^3*T2^2 + 899*T1^4*T2^2 - 
      1330*T1^5*T2^2 + 296*T1^6*T2^2 + 97*T2^3 - 898*T1*T2^3 + 
      1351*T1^2*T2^3 + 4462*T1^3*T2^3 - 9202*T1^4*T2^3 + 5351*T1^5*T2^3 + 
      206*T1^6*T2^3 - 335*T1^7*T2^3 - 18*T2^4 + 352*T1*T2^4 + 899*T1^2*T2^4 - 
      9202*T1^3*T2^4 + 9576*T1^4*T2^4 + 1486*T1^5*T2^4 - 6393*T1^6*T2^4 + 
      1312*T1^7*T2^4 + 90*T1^8*T2^4 - 47*T1*T2^5 - 1330*T1^2*T2^5 + 
      5351*T1^3*T2^5 + 1486*T1^4*T2^5 - 12178*T1^5*T2^5 + 9351*T1^6*T2^5 - 
      226*T1^7*T2^5 - 479*T1^8*T2^5 + 296*T1^2*T2^6 + 206*T1^3*T2^6 - 
      6393*T1^4*T2^6 + 9351*T1^5*T2^6 - 3093*T1^6*T2^6 - 2194*T1^7*T2^6 + 
      746*T1^8*T2^6 - 335*T1^3*T2^7 + 1312*T1^4*T2^7 - 226*T1^5*T2^7 - 
      2194*T1^6*T2^7 + 2224*T1^7*T2^7 - 479*T1^8*T2^7 + 90*T1^4*T2^8 - 
      479*T1^5*T2^8 + 746*T1^6*T2^8 - 479*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 271] -> 
  {-((1 - 5*T + 12*T^2 - 17*T^3 + 12*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 36*T1^2 + 51*T1^3 - 36*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 130*T1^2*T2 - 135*T1^3*T2 + 10*T1^4*T2 + 45*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 36*T2^2 + 130*T1*T2^2 - 182*T1^2*T2^2 + 
      26*T1^3*T2^2 + 334*T1^4*T2^2 - 262*T1^5*T2^2 + 82*T1^6*T2^2 + 
      10*T1^7*T2^2 - 12*T1^8*T2^2 + 51*T2^3 - 135*T1*T2^3 + 26*T1^2*T2^3 + 
      401*T1^3*T2^3 - 757*T1^4*T2^3 + 116*T1^5*T2^3 + 299*T1^6*T2^3 - 
      226*T1^7*T2^3 + 60*T1^8*T2^3 - 36*T2^4 + 10*T1*T2^4 + 334*T1^2*T2^4 - 
      757*T1^3*T2^4 + 435*T1^4*T2^4 + 887*T1^5*T2^4 - 1077*T1^6*T2^4 + 
      297*T1^7*T2^4 + 60*T1^8*T2^4 - 60*T1^9*T2^4 + 12*T1^10*T2^4 + 15*T2^5 + 
      45*T1*T2^5 - 262*T1^2*T2^5 + 116*T1^3*T2^5 + 887*T1^4*T2^5 - 
      1845*T1^5*T2^5 + 1161*T1^6*T2^5 + 359*T1^7*T2^5 - 395*T1^8*T2^5 + 
      134*T1^9*T2^5 - 10*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      82*T1^2*T2^6 + 299*T1^3*T2^6 - 1077*T1^4*T2^6 + 1161*T1^5*T2^6 - 
      180*T1^6*T2^6 - 1225*T1^7*T2^6 + 463*T1^8*T2^6 - 43*T1^9*T2^6 - 
      58*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      10*T1^2*T2^7 - 226*T1^3*T2^7 + 297*T1^4*T2^7 + 359*T1^5*T2^7 - 
      1225*T1^6*T2^7 + 1781*T1^7*T2^7 - 169*T1^8*T2^7 - 214*T1^9*T2^7 + 
      170*T1^10*T2^7 - 45*T1^11*T2^7 - 15*T1^12*T2^7 - 12*T1^2*T2^8 + 
      60*T1^3*T2^8 + 60*T1^4*T2^8 - 395*T1^5*T2^8 + 463*T1^6*T2^8 - 
      169*T1^7*T2^8 - 1049*T1^8*T2^8 + 659*T1^9*T2^8 - 214*T1^10*T2^8 - 
      10*T1^11*T2^8 + 36*T1^12*T2^8 - 60*T1^4*T2^9 + 134*T1^5*T2^9 - 
      43*T1^6*T2^9 - 214*T1^7*T2^9 + 659*T1^8*T2^9 - 145*T1^9*T2^9 - 
      118*T1^10*T2^9 + 135*T1^11*T2^9 - 51*T1^12*T2^9 + 12*T1^4*T2^10 - 
      10*T1^5*T2^10 - 58*T1^6*T2^10 + 170*T1^7*T2^10 - 214*T1^8*T2^10 - 
      118*T1^9*T2^10 + 206*T1^10*T2^10 - 130*T1^11*T2^10 + 36*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 45*T1^7*T2^11 - 10*T1^8*T2^11 + 
      135*T1^9*T2^11 - 130*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 36*T1^8*T2^12 - 51*T1^9*T2^12 + 
      36*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 272] -> 
  {(1 - 7*T + 20*T^2 - 27*T^3 + 20*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 40*T1^2 + 54*T1^3 - 40*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     89*T1*T2 + 223*T1^2*T2 - 234*T1^3*T2 + 95*T1^4*T2 + 34*T1^5*T2 - 
     33*T1^6*T2 + 7*T1^7*T2 - 40*T2^2 + 223*T1*T2^2 - 432*T1^2*T2^2 + 
     120*T1^3*T2^2 + 484*T1^4*T2^2 - 680*T1^5*T2^2 + 328*T1^6*T2^2 - 
     57*T1^7*T2^2 + 54*T2^3 - 234*T1*T2^3 + 120*T1^2*T2^3 + 1137*T1^3*T2^3 - 
     2424*T1^4*T2^3 + 1969*T1^5*T2^3 - 375*T1^6*T2^3 - 380*T1^7*T2^3 + 
     193*T1^8*T2^3 - 27*T1^9*T2^3 - 40*T2^4 + 95*T1*T2^4 + 484*T1^2*T2^4 - 
     2424*T1^3*T2^4 + 3469*T1^4*T2^4 - 699*T1^5*T2^4 - 2571*T1^6*T2^4 + 
     2598*T1^7*T2^4 - 562*T1^8*T2^4 - 87*T1^9*T2^4 + 40*T1^10*T2^4 + 
     14*T2^5 + 34*T1*T2^5 - 680*T1^2*T2^5 + 1969*T1^3*T2^5 - 699*T1^4*T2^5 - 
     5791*T1^5*T2^5 + 8529*T1^6*T2^5 - 4219*T1^7*T2^5 - 1166*T1^8*T2^5 + 
     1020*T1^9*T2^5 - 141*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 33*T1*T2^6 + 
     328*T1^2*T2^6 - 375*T1^3*T2^6 - 2571*T1^4*T2^6 + 8529*T1^5*T2^6 - 
     5172*T1^6*T2^6 - 3789*T1^7*T2^6 + 7457*T1^8*T2^6 - 2217*T1^9*T2^6 - 
     124*T1^10*T2^6 + 121*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     57*T1^2*T2^7 - 380*T1^3*T2^7 + 2598*T1^4*T2^7 - 4219*T1^5*T2^7 - 
     3789*T1^6*T2^7 + 10531*T1^7*T2^7 - 7739*T1^8*T2^7 - 537*T1^9*T2^7 + 
     1320*T1^10*T2^7 - 232*T1^11*T2^7 - 28*T1^12*T2^7 + 193*T1^3*T2^8 - 
     562*T1^4*T2^8 - 1166*T1^5*T2^8 + 7457*T1^6*T2^8 - 7739*T1^7*T2^8 + 
     1417*T1^8*T2^8 + 3856*T1^9*T2^8 - 1608*T1^10*T2^8 + 11*T1^11*T2^8 + 
     80*T1^12*T2^8 - 27*T1^3*T2^9 - 87*T1^4*T2^9 + 1020*T1^5*T2^9 - 
     2217*T1^6*T2^9 - 537*T1^7*T2^9 + 3856*T1^8*T2^9 - 3729*T1^9*T2^9 + 
     520*T1^10*T2^9 + 340*T1^11*T2^9 - 108*T1^12*T2^9 + 40*T1^4*T2^10 - 
     141*T1^5*T2^10 - 124*T1^6*T2^10 + 1320*T1^7*T2^10 - 1608*T1^8*T2^10 + 
     520*T1^9*T2^10 + 636*T1^10*T2^10 - 421*T1^11*T2^10 + 80*T1^12*T2^10 - 
     21*T1^5*T2^11 + 121*T1^6*T2^11 - 232*T1^7*T2^11 + 11*T1^8*T2^11 + 
     340*T1^9*T2^11 - 421*T1^10*T2^11 + 177*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 80*T1^8*T2^12 - 108*T1^9*T2^12 + 
     80*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 273] -> 
  {-(((1 - 3*T + T^2)*(1 - T^2 + T^4))/T^3), 
   -((-5 + 15*T1 - 15*T1^3 + 15*T1^5 - 5*T1^6 + 15*T2 - 33*T1*T2 - 
      36*T1^2*T2 + 45*T1^3*T2 + 36*T1^4*T2 - 45*T1^5*T2 - 21*T1^6*T2 + 
      12*T1^7*T2 - 36*T1*T2^2 + 107*T1^2*T2^2 + 8*T1^3*T2^2 - 119*T1^4*T2^2 + 
      8*T1^5*T2^2 + 107*T1^6*T2^2 - 36*T1^7*T2^2 - 15*T2^3 + 45*T1*T2^3 + 
      8*T1^2*T2^3 - 91*T1^3*T2^3 + 43*T1^4*T2^3 + 70*T1^5*T2^3 - 
      73*T1^6*T2^3 + 8*T1^7*T2^3 + 18*T1^8*T2^3 - 6*T1^9*T2^3 + 36*T1*T2^4 - 
      119*T1^2*T2^4 + 43*T1^3*T2^4 + 79*T1^4*T2^4 - 67*T1^5*T2^4 - 
      29*T1^6*T2^4 + 61*T1^7*T2^4 - 65*T1^8*T2^4 + 18*T1^9*T2^4 + 15*T2^5 - 
      45*T1*T2^5 + 8*T1^2*T2^5 + 70*T1^3*T2^5 - 67*T1^4*T2^5 + 7*T1^5*T2^5 + 
      67*T1^6*T2^5 - 67*T1^7*T2^5 + 25*T1^8*T2^5 + 8*T1^9*T2^5 - 5*T2^6 - 
      21*T1*T2^6 + 107*T1^2*T2^6 - 73*T1^3*T2^6 - 29*T1^4*T2^6 + 
      67*T1^5*T2^6 - 96*T1^6*T2^6 + 13*T1^7*T2^6 + 79*T1^8*T2^6 - 
      55*T1^9*T2^6 - T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 12*T1*T2^7 - 
      36*T1^2*T2^7 + 8*T1^3*T2^7 + 61*T1^4*T2^7 - 67*T1^5*T2^7 + 
      13*T1^6*T2^7 + 73*T1^7*T2^7 - 67*T1^8*T2^7 + 16*T1^9*T2^7 + 
      8*T1^10*T2^7 + 9*T1^11*T2^7 - 3*T1^12*T2^7 + 18*T1^3*T2^8 - 
      65*T1^4*T2^8 + 25*T1^5*T2^8 + 79*T1^6*T2^8 - 67*T1^7*T2^8 - 
      29*T1^8*T2^8 + 43*T1^9*T2^8 - 11*T1^10*T2^8 - 6*T1^3*T2^9 + 
      18*T1^4*T2^9 + 8*T1^5*T2^9 - 55*T1^6*T2^9 + 16*T1^7*T2^9 + 
      43*T1^8*T2^9 - 37*T1^9*T2^9 + 8*T1^10*T2^9 - 9*T1^11*T2^9 + 
      3*T1^12*T2^9 - T1^6*T2^10 + 8*T1^7*T2^10 - 11*T1^8*T2^10 + 
      8*T1^9*T2^10 - T1^10*T2^10 - 3*T1^6*T2^11 + 9*T1^7*T2^11 - 
      9*T1^9*T2^11 + 9*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
      3*T1^7*T2^12 + 3*T1^9*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 274] -> 
  {-(((1 - 3*T + T^2)*(3 - 5*T + 3*T^2))/T^2), 
   (-2*(-39 + 180*T1 - 269*T1^2 + 180*T1^3 - 39*T1^4 + 180*T2 - 711*T1*T2 + 
      704*T1^2*T2 - 31*T1^3*T2 - 354*T1^4*T2 + 117*T1^5*T2 - 269*T2^2 + 
      704*T1*T2^2 + 465*T1^2*T2^2 - 1976*T1^3*T2^2 + 1599*T1^4*T2^2 - 
      178*T1^5*T2^2 - 80*T1^6*T2^2 + 180*T2^3 - 31*T1*T2^3 - 1976*T1^2*T2^3 + 
      2972*T1^3*T2^3 - 1102*T1^4*T2^3 - 800*T1^5*T2^3 + 410*T1^6*T2^3 - 
      9*T1^7*T2^3 - 39*T2^4 - 354*T1*T2^4 + 1599*T1^2*T2^4 - 1102*T1^3*T2^4 - 
      1284*T1^4*T2^4 + 2174*T1^5*T2^4 - 767*T1^6*T2^4 - 18*T1^7*T2^4 + 
      15*T1^8*T2^4 + 117*T1*T2^5 - 178*T1^2*T2^5 - 800*T1^3*T2^5 + 
      2174*T1^4*T2^5 - 1900*T1^5*T2^5 + 376*T1^6*T2^5 + 263*T1^7*T2^5 - 
      72*T1^8*T2^5 - 80*T1^2*T2^6 + 410*T1^3*T2^6 - 767*T1^4*T2^6 + 
      376*T1^5*T2^6 + 367*T1^6*T2^6 - 472*T1^7*T2^6 + 109*T1^8*T2^6 - 
      9*T1^3*T2^7 - 18*T1^4*T2^7 + 263*T1^5*T2^7 - 472*T1^6*T2^7 + 
      339*T1^7*T2^7 - 72*T1^8*T2^7 + 15*T1^4*T2^8 - 72*T1^5*T2^8 + 
      109*T1^6*T2^8 - 72*T1^7*T2^8 + 15*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 275] -> 
  {(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4)/T^2, 
   (-13 + 57*T1 - 93*T1^2 + 57*T1^3 - 13*T1^4 + 57*T2 - 230*T1*T2 + 
     320*T1^2*T2 - 112*T1^3*T2 - 32*T1^4*T2 + 21*T1^5*T2 - 93*T2^2 + 
     320*T1*T2^2 - 251*T1^2*T2^2 - 331*T1^3*T2^2 + 529*T1^4*T2^2 - 
     220*T1^5*T2^2 + 27*T1^6*T2^2 + 57*T2^3 - 112*T1*T2^3 - 331*T1^2*T2^3 + 
     1261*T1^3*T2^3 - 1385*T1^4*T2^3 + 344*T1^5*T2^3 + 104*T1^6*T2^3 - 
     51*T1^7*T2^3 - 13*T2^4 - 32*T1*T2^4 + 529*T1^2*T2^4 - 1385*T1^3*T2^4 + 
     1188*T1^4*T2^4 + 577*T1^5*T2^4 - 689*T1^6*T2^4 + 148*T1^7*T2^4 + 
     19*T1^8*T2^4 + 21*T1*T2^5 - 220*T1^2*T2^5 + 344*T1^3*T2^5 + 
     577*T1^4*T2^5 - 2069*T1^5*T2^5 + 1019*T1^6*T2^5 - 4*T1^7*T2^5 - 
     87*T1^8*T2^5 + 27*T1^2*T2^6 + 104*T1^3*T2^6 - 689*T1^4*T2^6 + 
     1019*T1^5*T2^6 + 91*T1^6*T2^6 - 436*T1^7*T2^6 + 147*T1^8*T2^6 - 
     51*T1^3*T2^7 + 148*T1^4*T2^7 - 4*T1^5*T2^7 - 436*T1^6*T2^7 + 
     346*T1^7*T2^7 - 87*T1^8*T2^7 + 19*T1^4*T2^8 - 87*T1^5*T2^8 + 
     147*T1^6*T2^8 - 87*T1^7*T2^8 + 19*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 276] -> 
  {(1 + T - 7*T^2 + 11*T^3 - 7*T^4 + T^5 + T^6)/T^3, 
   (-1 + 7*T1 - 11*T1^2 + 7*T1^3 - T1^4 - T1^5 + T1^6 + 7*T2 - 25*T1*T2 - 
     3*T1^2*T2 + 91*T1^3*T2 - 143*T1^4*T2 + 87*T1^5*T2 - 7*T1^6*T2 - 
     14*T1^7*T2 - 11*T2^2 - 3*T1*T2^2 + 2*T1^2*T2^2 + 94*T1^3*T2^2 - 
     296*T1^4*T2^2 + 388*T1^5*T2^2 - 234*T1^6*T2^2 + 15*T1^7*T2^2 + 
     33*T1^8*T2^2 + 7*T2^3 + 91*T1*T2^3 + 94*T1^2*T2^3 - 442*T1^3*T2^3 + 
     500*T1^4*T2^3 + 2*T1^5*T2^3 - 390*T1^6*T2^3 + 309*T1^7*T2^3 + 
     T1^8*T2^3 - 28*T1^9*T2^3 - T2^4 - 143*T1*T2^4 - 296*T1^2*T2^4 + 
     500*T1^3*T2^4 + 123*T1^4*T2^4 - 1095*T1^5*T2^4 + 871*T1^6*T2^4 - 
     94*T1^7*T2^4 - 276*T1^8*T2^4 - 17*T1^9*T2^4 + 5*T1^10*T2^4 - T2^5 + 
     87*T1*T2^5 + 388*T1^2*T2^5 + 2*T1^3*T2^5 - 1095*T1^4*T2^5 + 
     1512*T1^5*T2^5 - 141*T1^6*T2^5 - 780*T1^7*T2^5 + 524*T1^8*T2^5 + 
     147*T1^9*T2^5 + 9*T1^10*T2^5 + 6*T1^11*T2^5 + T2^6 - 7*T1*T2^6 - 
     234*T1^2*T2^6 - 390*T1^3*T2^6 + 871*T1^4*T2^6 - 141*T1^5*T2^6 - 
     1359*T1^6*T2^6 + 1242*T1^7*T2^6 - 188*T1^8*T2^6 - 367*T1^9*T2^6 - 
     23*T1^10*T2^6 + 6*T1^11*T2^6 - 14*T1*T2^7 + 15*T1^2*T2^7 + 
     309*T1^3*T2^7 - 94*T1^4*T2^7 - 780*T1^5*T2^7 + 1242*T1^6*T2^7 - 
     336*T1^7*T2^7 - 578*T1^8*T2^7 + 527*T1^9*T2^7 + 9*T1^10*T2^7 - 
     42*T1^11*T2^7 + 33*T1^2*T2^8 + T1^3*T2^8 - 276*T1^4*T2^8 + 
     524*T1^5*T2^8 - 188*T1^6*T2^8 - 578*T1^7*T2^8 + 910*T1^8*T2^8 - 
     507*T1^9*T2^8 + 27*T1^10*T2^8 + 66*T1^11*T2^8 - 28*T1^3*T2^9 - 
     17*T1^4*T2^9 + 147*T1^5*T2^9 - 367*T1^6*T2^9 + 527*T1^7*T2^9 - 
     507*T1^8*T2^9 + 259*T1^9*T2^9 - 31*T1^10*T2^9 - 42*T1^11*T2^9 + 
     5*T1^4*T2^10 + 9*T1^5*T2^10 - 23*T1^6*T2^10 + 9*T1^7*T2^10 + 
     27*T1^8*T2^10 - 31*T1^9*T2^10 + 9*T1^10*T2^10 + 6*T1^11*T2^10 + 
     6*T1^5*T2^11 + 6*T1^6*T2^11 - 42*T1^7*T2^11 + 66*T1^8*T2^11 - 
     42*T1^9*T2^11 + 6*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 277] -> 
  {(2 - 8*T + 15*T^2 - 17*T^3 + 15*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 123*T1 - 229*T1^2 + 259*T1^3 - 229*T1^4 + 123*T1^5 - 31*T1^6 + 
     123*T2 - 398*T1*T2 + 550*T1^2*T2 - 360*T1^3*T2 + 152*T1^4*T2 + 
     182*T1^5*T2 - 238*T1^6*T2 + 91*T1^7*T2 - 229*T2^2 + 550*T1*T2^2 - 
     364*T1^2*T2^2 - 350*T1^3*T2^2 + 580*T1^4*T2^2 - 890*T1^5*T2^2 + 
     416*T1^6*T2^2 + 70*T1^7*T2^2 - 109*T1^8*T2^2 + 259*T2^3 - 360*T1*T2^3 - 
     350*T1^2*T2^3 + 1236*T1^3*T2^3 - 830*T1^4*T2^3 + 664*T1^5*T2^3 + 
     414*T1^6*T2^3 - 680*T1^7*T2^3 + 216*T1^8*T2^3 + 55*T1^9*T2^3 - 
     229*T2^4 + 152*T1*T2^4 + 580*T1^2*T2^4 - 830*T1^3*T2^4 - 457*T1^4*T2^4 + 
     737*T1^5*T2^4 - 1345*T1^6*T2^4 + 666*T1^7*T2^4 + 204*T1^8*T2^4 - 
     264*T1^9*T2^4 + 11*T1^10*T2^4 + 123*T2^5 + 182*T1*T2^5 - 890*T1^2*T2^5 + 
     664*T1^3*T2^5 + 737*T1^4*T2^5 - 459*T1^5*T2^5 + 221*T1^6*T2^5 + 
     512*T1^7*T2^5 - 826*T1^8*T2^5 + 280*T1^9*T2^5 + 102*T1^10*T2^5 - 
     37*T1^11*T2^5 - 31*T2^6 - 238*T1*T2^6 + 416*T1^2*T2^6 + 414*T1^3*T2^6 - 
     1345*T1^4*T2^6 + 221*T1^5*T2^6 + 564*T1^6*T2^6 - 693*T1^7*T2^6 + 
     513*T1^8*T2^6 + 246*T1^9*T2^6 - 372*T1^10*T2^6 + 82*T1^11*T2^6 + 
     17*T1^12*T2^6 + 91*T1*T2^7 + 70*T1^2*T2^7 - 680*T1^3*T2^7 + 
     666*T1^4*T2^7 + 512*T1^5*T2^7 - 693*T1^6*T2^7 - 13*T1^7*T2^7 + 
     287*T1^8*T2^7 - 824*T1^9*T2^7 + 490*T1^10*T2^7 - 10*T1^11*T2^7 - 
     69*T1^12*T2^7 - 109*T1^2*T2^8 + 216*T1^3*T2^8 + 204*T1^4*T2^8 - 
     826*T1^5*T2^8 + 513*T1^6*T2^8 + 287*T1^7*T2^8 - 375*T1^8*T2^8 + 
     670*T1^9*T2^8 - 172*T1^10*T2^8 - 200*T1^11*T2^8 + 131*T1^12*T2^8 + 
     55*T1^3*T2^9 - 264*T1^4*T2^9 + 280*T1^5*T2^9 + 246*T1^6*T2^9 - 
     824*T1^7*T2^9 + 670*T1^8*T2^9 - 576*T1^9*T2^9 - 50*T1^10*T2^9 + 
     312*T1^11*T2^9 - 149*T1^12*T2^9 + 11*T1^4*T2^10 + 102*T1^5*T2^10 - 
     372*T1^6*T2^10 + 490*T1^7*T2^10 - 172*T1^8*T2^10 - 50*T1^9*T2^10 + 
     408*T1^10*T2^10 - 378*T1^11*T2^10 + 131*T1^12*T2^10 - 37*T1^5*T2^11 + 
     82*T1^6*T2^11 - 10*T1^7*T2^11 - 200*T1^8*T2^11 + 312*T1^9*T2^11 - 
     378*T1^10*T2^11 + 242*T1^11*T2^11 - 69*T1^12*T2^11 + 17*T1^6*T2^12 - 
     69*T1^7*T2^12 + 131*T1^8*T2^12 - 149*T1^9*T2^12 + 131*T1^10*T2^12 - 
     69*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 278] -> {(4 - 16*T + 25*T^2 - 16*T^3 + 4*T^4)/T^2, 
   (2*(-64 + 254*T1 - 396*T1^2 + 254*T1^3 - 64*T1^4 + 254*T2 - 884*T1*T2 + 
      1077*T1^2*T2 - 235*T1^3*T2 - 244*T1^4*T2 + 126*T1^5*T2 - 396*T2^2 + 
      1077*T1*T2^2 - 479*T1^2*T2^2 - 1528*T1^3*T2^2 + 1621*T1^4*T2^2 - 
      523*T1^5*T2^2 + 4*T1^6*T2^2 + 254*T2^3 - 235*T1*T2^3 - 1528*T1^2*T2^3 + 
      3790*T1^3*T2^3 - 2490*T1^4*T2^3 + 72*T1^5*T2^3 + 501*T1^6*T2^3 - 
      130*T1^7*T2^3 - 64*T2^4 - 244*T1*T2^4 + 1621*T1^2*T2^4 - 
      2490*T1^3*T2^4 + 138*T1^4*T2^4 + 2374*T1^5*T2^4 - 1675*T1^6*T2^4 + 
      268*T1^7*T2^4 + 64*T1^8*T2^4 + 126*T1*T2^5 - 523*T1^2*T2^5 + 
      72*T1^3*T2^5 + 2374*T1^4*T2^5 - 3906*T1^5*T2^5 + 1672*T1^6*T2^5 + 
      213*T1^7*T2^5 - 258*T1^8*T2^5 + 4*T1^2*T2^6 + 501*T1^3*T2^6 - 
      1675*T1^4*T2^6 + 1672*T1^5*T2^6 + 425*T1^6*T2^6 - 1099*T1^7*T2^6 + 
      404*T1^8*T2^6 - 130*T1^3*T2^7 + 268*T1^4*T2^7 + 213*T1^5*T2^7 - 
      1099*T1^6*T2^7 + 908*T1^7*T2^7 - 258*T1^8*T2^7 + 64*T1^4*T2^8 - 
      258*T1^5*T2^8 + 404*T1^6*T2^8 - 258*T1^7*T2^8 + 64*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 279] -> 
  {(1 - 3*T + T^2)^2/T^2, (2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(-1 + 4*T1 - T1^2 + 4*T2 - 12*T1*T2 + 
      T1^3*T2 - T2^2 + 12*T1^2*T2^2 - 6*T1^3*T2^2 + T1^4*T2^2 + T1*T2^3 - 
      6*T1^2*T2^3 + 6*T1^3*T2^3 - 2*T1^4*T2^3 + T1^2*T2^4 - 2*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 280] -> 
  {(1 - 6*T + 12*T^2 - 13*T^3 + 12*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 48*T1^2 + 52*T1^3 - 48*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 178*T1^2*T2 - 93*T1^3*T2 + 57*T1^4*T2 + 70*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 48*T2^2 + 178*T1*T2^2 + 63*T1^2*T2^2 - 
     543*T1^3*T2^2 + 531*T1^4*T2^2 - 711*T1^5*T2^2 + 327*T1^6*T2^2 + 
     34*T1^7*T2^2 - 24*T1^8*T2^2 + 52*T2^3 - 93*T1*T2^3 - 543*T1^2*T2^3 + 
     1059*T1^3*T2^3 - 502*T1^4*T2^3 + 596*T1^5*T2^3 + 309*T1^6*T2^3 - 
     507*T1^7*T2^3 + 69*T1^8*T2^3 + 13*T1^9*T2^3 - 48*T2^4 + 57*T1*T2^4 + 
     531*T1^2*T2^4 - 502*T1^3*T2^4 - 602*T1^4*T2^4 + 382*T1^5*T2^4 - 
     1166*T1^6*T2^4 + 590*T1^7*T2^4 + 171*T1^8*T2^4 - 75*T1^9*T2^4 + 
     24*T2^5 + 70*T1*T2^5 - 711*T1^2*T2^5 + 596*T1^3*T2^5 + 382*T1^4*T2^5 + 
     132*T1^5*T2^5 + 354*T1^6*T2^5 + 238*T1^7*T2^5 - 514*T1^8*T2^5 + 
     69*T1^9*T2^5 + 34*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     327*T1^2*T2^6 + 309*T1^3*T2^6 - 1166*T1^4*T2^6 + 354*T1^5*T2^6 - 
     372*T1^6*T2^6 - 114*T1^7*T2^6 + 202*T1^8*T2^6 + 231*T1^9*T2^6 - 
     177*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     34*T1^2*T2^7 - 507*T1^3*T2^7 + 590*T1^4*T2^7 + 238*T1^5*T2^7 - 
     114*T1^6*T2^7 + 108*T1^7*T2^7 + 94*T1^8*T2^7 - 520*T1^9*T2^7 + 
     273*T1^10*T2^7 - 2*T1^11*T2^7 - 12*T1^12*T2^7 - 24*T1^2*T2^8 + 
     69*T1^3*T2^8 + 171*T1^4*T2^8 - 514*T1^5*T2^8 + 202*T1^6*T2^8 + 
     94*T1^7*T2^8 - 362*T1^8*T2^8 + 578*T1^9*T2^8 - 189*T1^10*T2^8 - 
     63*T1^11*T2^8 + 24*T1^12*T2^8 + 13*T1^3*T2^9 - 75*T1^4*T2^9 + 
     69*T1^5*T2^9 + 231*T1^6*T2^9 - 520*T1^7*T2^9 + 578*T1^8*T2^9 - 
     519*T1^9*T2^9 + 105*T1^10*T2^9 + 87*T1^11*T2^9 - 26*T1^12*T2^9 + 
     34*T1^5*T2^10 - 177*T1^6*T2^10 + 273*T1^7*T2^10 - 189*T1^8*T2^10 + 
     105*T1^9*T2^10 + 87*T1^10*T2^10 - 110*T1^11*T2^10 + 24*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 2*T1^7*T2^11 - 63*T1^8*T2^11 + 
     87*T1^9*T2^11 - 110*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 24*T1^8*T2^12 - 26*T1^9*T2^12 + 
     24*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 281] -> 
  {-((1 - 6*T + 18*T^2 - 27*T^3 + 18*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 54*T1^2 + 81*T1^3 - 54*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 254*T1^2*T2 - 273*T1^3*T2 - 3*T1^4*T2 + 110*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 54*T2^2 + 254*T1*T2^2 - 583*T1^2*T2^2 + 
      320*T1^3*T2^2 + 613*T1^4*T2^2 - 436*T1^5*T2^2 + 29*T1^6*T2^2 + 
      38*T1^7*T2^2 - 18*T1^8*T2^2 + 81*T2^3 - 273*T1*T2^3 + 320*T1^2*T2^3 + 
      995*T1^3*T2^3 - 2461*T1^4*T2^3 + 455*T1^5*T2^3 + 671*T1^6*T2^3 - 
      382*T1^7*T2^3 + 105*T1^8*T2^3 - 54*T2^4 - 3*T1*T2^4 + 613*T1^2*T2^4 - 
      2461*T1^3*T2^4 + 2099*T1^4*T2^4 + 3215*T1^5*T2^4 - 3481*T1^6*T2^4 + 
      1103*T1^7*T2^4 - 35*T1^8*T2^4 - 111*T1^9*T2^4 + 18*T1^10*T2^4 + 
      18*T2^5 + 110*T1*T2^5 - 436*T1^2*T2^5 + 455*T1^3*T2^5 + 
      3215*T1^4*T2^5 - 8998*T1^5*T2^5 + 5306*T1^6*T2^5 + 83*T1^7*T2^5 - 
      1165*T1^8*T2^5 + 482*T1^9*T2^5 - 34*T1^10*T2^5 - 12*T1^11*T2^5 - 
      3*T2^6 - 54*T1*T2^6 + 29*T1^2*T2^6 + 671*T1^3*T2^6 - 3481*T1^4*T2^6 + 
      5306*T1^5*T2^6 + 924*T1^6*T2^6 - 5890*T1^7*T2^6 + 3755*T1^8*T2^6 - 
      787*T1^9*T2^6 - 79*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 
      12*T1*T2^7 + 38*T1^2*T2^7 - 382*T1^3*T2^7 + 1103*T1^4*T2^7 + 
      83*T1^5*T2^7 - 5890*T1^6*T2^7 + 8414*T1^7*T2^7 - 3049*T1^8*T2^7 - 
      517*T1^9*T2^7 + 536*T1^10*T2^7 - 106*T1^11*T2^7 - 18*T1^12*T2^7 - 
      18*T1^2*T2^8 + 105*T1^3*T2^8 - 35*T1^4*T2^8 - 1165*T1^5*T2^8 + 
      3755*T1^6*T2^8 - 3049*T1^7*T2^8 - 1825*T1^8*T2^8 + 2399*T1^9*T2^8 - 
      683*T1^10*T2^8 - 3*T1^11*T2^8 + 54*T1^12*T2^8 - 111*T1^4*T2^9 + 
      482*T1^5*T2^9 - 787*T1^6*T2^9 - 517*T1^7*T2^9 + 2399*T1^8*T2^9 - 
      1111*T1^9*T2^9 - 220*T1^10*T2^9 + 267*T1^11*T2^9 - 81*T1^12*T2^9 + 
      18*T1^4*T2^10 - 34*T1^5*T2^10 - 79*T1^6*T2^10 + 536*T1^7*T2^10 - 
      683*T1^8*T2^10 - 220*T1^9*T2^10 + 533*T1^10*T2^10 - 250*T1^11*T2^10 + 
      54*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 106*T1^7*T2^11 - 
      3*T1^8*T2^11 + 267*T1^9*T2^11 - 250*T1^10*T2^11 + 96*T1^11*T2^11 - 
      18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 54*T1^8*T2^12 - 
      81*T1^9*T2^12 + 54*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 282] -> 
  {(1 - 5*T + 9*T^2 - 5*T^3 + T^4)/T^2, 
   (-2 + 10*T1 - 18*T1^2 + 10*T1^3 - 2*T1^4 + 10*T2 - 43*T1*T2 + 60*T1^2*T2 - 
     10*T1^3*T2 - 13*T1^4*T2 + 5*T1^5*T2 - 18*T2^2 + 60*T1*T2^2 - 
     30*T1^2*T2^2 - 90*T1^3*T2^2 + 114*T1^4*T2^2 - 30*T1^5*T2^2 + 10*T2^3 - 
     10*T1*T2^3 - 90*T1^2*T2^3 + 236*T1^3*T2^3 - 304*T1^4*T2^3 + 
     45*T1^5*T2^3 + 20*T1^6*T2^3 - 5*T1^7*T2^3 - 2*T2^4 - 13*T1*T2^4 + 
     114*T1^2*T2^4 - 304*T1^3*T2^4 + 420*T1^4*T2^4 + 76*T1^5*T2^4 - 
     100*T1^6*T2^4 + 17*T1^7*T2^4 + 2*T1^8*T2^4 + 5*T1*T2^5 - 30*T1^2*T2^5 + 
     45*T1^3*T2^5 + 76*T1^4*T2^5 - 464*T1^5*T2^5 + 180*T1^6*T2^5 - 
     10*T1^8*T2^5 + 20*T1^3*T2^6 - 100*T1^4*T2^6 + 180*T1^5*T2^6 + 
     44*T1^6*T2^6 - 70*T1^7*T2^6 + 18*T1^8*T2^6 - 5*T1^3*T2^7 + 
     17*T1^4*T2^7 - 70*T1^6*T2^7 + 47*T1^7*T2^7 - 10*T1^8*T2^7 + 
     2*T1^4*T2^8 - 10*T1^5*T2^8 + 18*T1^6*T2^8 - 10*T1^7*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 283] -> 
  {-((1 - 6*T + 14*T^2 - 16*T^3 + 13*T^4 - 16*T^5 + 14*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 70*T1^2 + 80*T1^3 - 65*T1^4 + 80*T1^5 - 70*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 144*T1^3*T2 + 
      6*T1^4*T2 - 168*T1^5*T2 + 36*T1^6*T2 + 156*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 159*T1^2*T2^2 - 640*T1^3*T2^2 + 
      800*T1^4*T2^2 - 75*T1^5*T2^2 + 772*T1^6*T2^2 - 920*T1^7*T2^2 + 
      205*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 80*T2^3 - 144*T1*T2^3 - 
      640*T1^2*T2^3 + 1930*T1^3*T2^3 - 987*T1^4*T2^3 - 493*T1^5*T2^3 - 
      1489*T1^6*T2^3 + 621*T1^7*T2^3 + 1066*T1^8*T2^3 - 724*T1^9*T2^3 + 
      60*T1^10*T2^3 + 32*T1^11*T2^3 - 65*T2^4 + 6*T1*T2^4 + 800*T1^2*T2^4 - 
      987*T1^3*T2^4 - 1764*T1^4*T2^4 + 2746*T1^5*T2^4 + 536*T1^6*T2^4 + 
      2034*T1^7*T2^4 - 3060*T1^8*T2^4 + 677*T1^9*T2^4 + 376*T1^10*T2^4 - 
      114*T1^11*T2^4 - 13*T1^12*T2^4 + 80*T2^5 - 168*T1*T2^5 - 75*T1^2*T2^5 - 
      493*T1^3*T2^5 + 2746*T1^4*T2^5 - 2028*T1^5*T2^5 - 1139*T1^6*T2^5 - 
      2215*T1^7*T2^5 + 1606*T1^8*T2^5 + 1204*T1^9*T2^5 - 921*T1^10*T2^5 - 
      15*T1^11*T2^5 + 78*T1^12*T2^5 - 70*T2^6 + 36*T1*T2^6 + 772*T1^2*T2^6 - 
      1489*T1^3*T2^6 + 536*T1^4*T2^6 - 1139*T1^5*T2^6 + 3394*T1^6*T2^6 - 
      236*T1^7*T2^6 + 282*T1^8*T2^6 - 1515*T1^9*T2^6 + 216*T1^10*T2^6 + 
      359*T1^11*T2^6 + 8*T1^12*T2^6 - 84*T1^13*T2^6 + 14*T1^14*T2^6 + 
      30*T2^7 + 156*T1*T2^7 - 920*T1^2*T2^7 + 621*T1^3*T2^7 + 
      2034*T1^4*T2^7 - 2215*T1^5*T2^7 - 236*T1^6*T2^7 - 2962*T1^7*T2^7 + 
      3060*T1^8*T2^7 - 212*T1^9*T2^7 + 261*T1^10*T2^7 + 256*T1^11*T2^7 - 
      763*T1^12*T2^7 + 340*T1^13*T2^7 - 12*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 205*T1^2*T2^8 + 1066*T1^3*T2^8 - 
      3060*T1^4*T2^8 + 1606*T1^5*T2^8 + 282*T1^6*T2^8 + 3060*T1^7*T2^8 - 
      1284*T1^8*T2^8 - 2532*T1^9*T2^8 + 1226*T1^10*T2^8 - 1602*T1^11*T2^8 + 
      1492*T1^12*T2^8 - 230*T1^13*T2^8 - 195*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 108*T1^2*T2^9 - 724*T1^3*T2^9 + 
      677*T1^4*T2^9 + 1204*T1^5*T2^9 - 1515*T1^6*T2^9 - 212*T1^7*T2^9 - 
      2532*T1^8*T2^9 + 3490*T1^9*T2^9 - 188*T1^10*T2^9 + 961*T1^11*T2^9 - 
      574*T1^12*T2^9 - 707*T1^13*T2^9 + 536*T1^14*T2^9 - 60*T1^15*T2^9 - 
      18*T1^16*T2^9 - 42*T1^2*T2^10 + 60*T1^3*T2^10 + 376*T1^4*T2^10 - 
      921*T1^5*T2^10 + 216*T1^6*T2^10 + 261*T1^7*T2^10 + 1226*T1^8*T2^10 - 
      188*T1^9*T2^10 - 1886*T1^10*T2^10 - 115*T1^11*T2^10 - 104*T1^12*T2^10 + 
      927*T1^13*T2^10 - 388*T1^14*T2^10 - 60*T1^15*T2^10 + 42*T1^16*T2^10 + 
      32*T1^3*T2^11 - 114*T1^4*T2^11 - 15*T1^5*T2^11 + 359*T1^6*T2^11 + 
      256*T1^7*T2^11 - 1602*T1^8*T2^11 + 961*T1^9*T2^11 - 115*T1^10*T2^11 + 
      2032*T1^11*T2^11 - 1286*T1^12*T2^11 - 69*T1^13*T2^11 + 45*T1^14*T2^11 + 
      132*T1^15*T2^11 - 48*T1^16*T2^11 - 13*T1^4*T2^12 + 78*T1^5*T2^12 + 
      8*T1^6*T2^12 - 763*T1^7*T2^12 + 1492*T1^8*T2^12 - 574*T1^9*T2^12 - 
      104*T1^10*T2^12 - 1286*T1^11*T2^12 + 196*T1^12*T2^12 + 
      901*T1^13*T2^12 - 416*T1^14*T2^12 - 42*T1^15*T2^12 + 39*T1^16*T2^12 - 
      84*T1^6*T2^13 + 340*T1^7*T2^13 - 230*T1^8*T2^13 - 707*T1^9*T2^13 + 
      927*T1^10*T2^13 - 69*T1^11*T2^13 + 901*T1^12*T2^13 - 1094*T1^13*T2^13 + 
      256*T1^14*T2^13 + 120*T1^15*T2^13 - 48*T1^16*T2^13 + 14*T1^6*T2^14 - 
      12*T1^7*T2^14 - 195*T1^8*T2^14 + 536*T1^9*T2^14 - 388*T1^10*T2^14 + 
      45*T1^11*T2^14 - 416*T1^12*T2^14 + 256*T1^13*T2^14 + 169*T1^14*T2^14 - 
      180*T1^15*T2^14 + 42*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      60*T1^9*T2^15 - 60*T1^10*T2^15 + 132*T1^11*T2^15 - 42*T1^12*T2^15 + 
      120*T1^13*T2^15 - 180*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 48*T1^11*T2^16 + 
      39*T1^12*T2^16 - 48*T1^13*T2^16 + 42*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 284] -> 
  {-((1 - 5*T + 13*T^2 - 19*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 39*T1^2 + 57*T1^3 - 39*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 146*T1^2*T2 - 157*T1^3*T2 + 3*T1^4*T2 + 56*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 39*T2^2 + 146*T1*T2^2 - 279*T1^2*T2^2 + 
      173*T1^3*T2^2 + 273*T1^4*T2^2 - 191*T1^5*T2^2 + 33*T1^6*T2^2 + 
      16*T1^7*T2^2 - 13*T1^8*T2^2 + 57*T2^3 - 157*T1*T2^3 + 173*T1^2*T2^3 + 
      262*T1^3*T2^3 - 914*T1^4*T2^3 + 140*T1^5*T2^3 + 232*T1^6*T2^3 - 
      178*T1^7*T2^3 + 63*T1^8*T2^3 - 39*T2^4 + 3*T1*T2^4 + 273*T1^2*T2^4 - 
      914*T1^3*T2^4 + 1019*T1^4*T2^4 + 915*T1^5*T2^4 - 1017*T1^6*T2^4 + 
      378*T1^7*T2^4 - T1^8*T2^4 - 67*T1^9*T2^4 + 13*T1^10*T2^4 + 15*T2^5 + 
      56*T1*T2^5 - 191*T1^2*T2^5 + 140*T1^3*T2^5 + 915*T1^4*T2^5 - 
      2949*T1^5*T2^5 + 1595*T1^6*T2^5 + 44*T1^7*T2^5 - 438*T1^8*T2^5 + 
      212*T1^9*T2^5 - 14*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      33*T1^2*T2^6 + 232*T1^3*T2^6 - 1017*T1^4*T2^6 + 1595*T1^5*T2^6 + 
      600*T1^6*T2^6 - 1967*T1^7*T2^6 + 1217*T1^8*T2^6 - 272*T1^9*T2^6 - 
      51*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      16*T1^2*T2^7 - 178*T1^3*T2^7 + 378*T1^4*T2^7 + 44*T1^5*T2^7 - 
      1967*T1^6*T2^7 + 2577*T1^7*T2^7 - 827*T1^8*T2^7 - 200*T1^9*T2^7 + 
      225*T1^10*T2^7 - 54*T1^11*T2^7 - 15*T1^12*T2^7 - 13*T1^2*T2^8 + 
      63*T1^3*T2^8 - T1^4*T2^8 - 438*T1^5*T2^8 + 1217*T1^6*T2^8 - 
      827*T1^7*T2^8 - 819*T1^8*T2^8 + 854*T1^9*T2^8 - 275*T1^10*T2^8 - 
      7*T1^11*T2^8 + 39*T1^12*T2^8 - 67*T1^4*T2^9 + 212*T1^5*T2^9 - 
      272*T1^6*T2^9 - 200*T1^7*T2^9 + 854*T1^8*T2^9 - 302*T1^9*T2^9 - 
      139*T1^10*T2^9 + 153*T1^11*T2^9 - 57*T1^12*T2^9 + 13*T1^4*T2^10 - 
      14*T1^5*T2^10 - 51*T1^6*T2^10 + 225*T1^7*T2^10 - 275*T1^8*T2^10 - 
      139*T1^9*T2^10 + 261*T1^10*T2^10 - 144*T1^11*T2^10 + 39*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 54*T1^7*T2^11 - 7*T1^8*T2^11 + 
      153*T1^9*T2^11 - 144*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 39*T1^8*T2^12 - 57*T1^9*T2^12 + 
      39*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 285] -> 
  {(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 36*T1^2 + 36*T1^3 - 36*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 104*T1^2*T2 - 43*T1^3*T2 + 47*T1^4*T2 + 34*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 36*T2^2 + 104*T1*T2^2 + 40*T1^2*T2^2 - 
     270*T1^3*T2^2 + 182*T1^4*T2^2 - 342*T1^5*T2^2 + 184*T1^6*T2^2 + 
     14*T1^7*T2^2 - 18*T1^8*T2^2 + 36*T2^3 - 43*T1*T2^3 - 270*T1^2*T2^3 + 
     454*T1^3*T2^3 - 108*T1^4*T2^3 + 324*T1^5*T2^3 + 94*T1^6*T2^3 - 
     243*T1^7*T2^3 + 47*T1^8*T2^3 + 9*T1^9*T2^3 - 36*T2^4 + 47*T1*T2^4 + 
     182*T1^2*T2^4 - 108*T1^3*T2^4 - 410*T1^4*T2^4 + 100*T1^5*T2^4 - 
     482*T1^6*T2^4 + 288*T1^7*T2^4 + 56*T1^8*T2^4 - 43*T1^9*T2^4 + 20*T2^5 + 
     34*T1*T2^5 - 342*T1^2*T2^5 + 324*T1^3*T2^5 + 100*T1^4*T2^5 + 
     293*T1^5*T2^5 + 11*T1^6*T2^5 + 91*T1^7*T2^5 - 180*T1^8*T2^5 + 
     27*T1^9*T2^5 + 24*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     184*T1^2*T2^6 + 94*T1^3*T2^6 - 482*T1^4*T2^6 + 11*T1^5*T2^6 - 
     180*T1^6*T2^6 + 133*T1^7*T2^6 - 32*T1^8*T2^6 + 130*T1^9*T2^6 - 
     100*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     14*T1^2*T2^7 - 243*T1^3*T2^7 + 288*T1^4*T2^7 + 91*T1^5*T2^7 + 
     133*T1^6*T2^7 - 149*T1^7*T2^7 + 82*T1^8*T2^7 - 216*T1^9*T2^7 + 
     126*T1^10*T2^7 + 4*T1^11*T2^7 - 10*T1^12*T2^7 - 18*T1^2*T2^8 + 
     47*T1^3*T2^8 + 56*T1^4*T2^8 - 180*T1^5*T2^8 - 32*T1^6*T2^8 + 
     82*T1^7*T2^8 - 104*T1^8*T2^8 + 216*T1^9*T2^8 - 70*T1^10*T2^8 - 
     43*T1^11*T2^8 + 18*T1^12*T2^8 + 9*T1^3*T2^9 - 43*T1^4*T2^9 + 
     27*T1^5*T2^9 + 130*T1^6*T2^9 - 216*T1^7*T2^9 + 216*T1^8*T2^9 - 
     230*T1^9*T2^9 + 54*T1^10*T2^9 + 47*T1^11*T2^9 - 18*T1^12*T2^9 + 
     24*T1^5*T2^10 - 100*T1^6*T2^10 + 126*T1^7*T2^10 - 70*T1^8*T2^10 + 
     54*T1^9*T2^10 + 44*T1^10*T2^10 - 66*T1^11*T2^10 + 18*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 + 4*T1^7*T2^11 - 43*T1^8*T2^11 + 
     47*T1^9*T2^11 - 66*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 18*T1^8*T2^12 - 18*T1^9*T2^12 + 
     18*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 286] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2))/T^2, 
   (-19 + 105*T1 - 183*T1^2 + 105*T1^3 - 19*T1^4 + 105*T2 - 520*T1*T2 + 
     674*T1^2*T2 + 14*T1^3*T2 - 234*T1^4*T2 + 61*T1^5*T2 - 183*T2^2 + 
     674*T1*T2^2 + 86*T1^2*T2^2 - 2112*T1^3*T2^2 + 1378*T1^4*T2^2 - 
     162*T1^5*T2^2 - 31*T1^6*T2^2 + 105*T2^3 + 14*T1*T2^3 - 2112*T1^2*T2^3 + 
     4173*T1^3*T2^3 - 1239*T1^4*T2^3 - 649*T1^5*T2^3 + 322*T1^6*T2^3 - 
     27*T1^7*T2^3 - 19*T2^4 - 234*T1*T2^4 + 1378*T1^2*T2^4 - 1239*T1^3*T2^4 - 
     2160*T1^4*T2^4 + 2699*T1^5*T2^4 - 980*T1^6*T2^4 + 74*T1^7*T2^4 + 
     13*T1^8*T2^4 + 61*T1*T2^5 - 162*T1^2*T2^5 - 649*T1^3*T2^5 + 
     2699*T1^4*T2^5 - 2713*T1^5*T2^5 + 814*T1^6*T2^5 + 146*T1^7*T2^5 - 
     71*T1^8*T2^5 - 31*T1^2*T2^6 + 322*T1^3*T2^6 - 980*T1^4*T2^6 + 
     814*T1^5*T2^6 + 312*T1^6*T2^6 - 514*T1^7*T2^6 + 121*T1^8*T2^6 - 
     27*T1^3*T2^7 + 74*T1^4*T2^7 + 146*T1^5*T2^7 - 514*T1^6*T2^7 + 
     360*T1^7*T2^7 - 71*T1^8*T2^7 + 13*T1^4*T2^8 - 71*T1^5*T2^8 + 
     121*T1^6*T2^8 - 71*T1^7*T2^8 + 13*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 287] -> 
  {-((1 - 6*T + 15*T^2 - 22*T^3 + 23*T^4 - 22*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 45*T1^2 + 66*T1^3 - 69*T1^4 + 66*T1^5 - 45*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 198*T1^2*T2 - 216*T1^3*T2 + 
      150*T1^4*T2 - 120*T1^5*T2 + 6*T1^6*T2 + 72*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 45*T2^2 + 198*T1*T2^2 - 258*T1^2*T2^2 + 322*T1^4*T2^2 - 
      334*T1^5*T2^2 + 562*T1^6*T2^2 - 480*T1^7*T2^2 + 162*T1^8*T2^2 + 
      18*T1^9*T2^2 - 15*T1^10*T2^2 + 66*T2^3 - 216*T1*T2^3 + 706*T1^3*T2^3 - 
      1076*T1^4*T2^3 + 700*T1^5*T2^3 - 908*T1^6*T2^3 + 340*T1^7*T2^3 + 
      334*T1^8*T2^3 - 360*T1^9*T2^3 + 90*T1^10*T2^3 - 69*T2^4 + 150*T1*T2^4 + 
      322*T1^2*T2^4 - 1076*T1^3*T2^4 + 831*T1^4*T2^4 + 222*T1^5*T2^4 + 
      53*T1^6*T2^4 + 862*T1^7*T2^4 - 1369*T1^8*T2^4 + 596*T1^9*T2^4 + 
      118*T1^10*T2^4 - 138*T1^11*T2^4 + 23*T1^12*T2^4 + 66*T2^5 - 
      120*T1*T2^5 - 334*T1^2*T2^5 + 700*T1^3*T2^5 + 222*T1^4*T2^5 - 
      1348*T1^5*T2^5 + 464*T1^6*T2^5 - 1378*T1^7*T2^5 + 1386*T1^8*T2^5 + 
      284*T1^9*T2^5 - 780*T1^10*T2^5 + 170*T1^11*T2^5 + 126*T1^12*T2^5 - 
      44*T1^13*T2^5 - 45*T2^6 + 6*T1*T2^6 + 562*T1^2*T2^6 - 908*T1^3*T2^6 + 
      53*T1^4*T2^6 + 464*T1^5*T2^6 + 577*T1^6*T2^6 + 1165*T1^7*T2^6 - 
      1091*T1^8*T2^6 - 940*T1^9*T2^6 + 167*T1^10*T2^6 + 892*T1^11*T2^6 - 
      566*T1^12*T2^6 - 6*T1^13*T2^6 + 45*T1^14*T2^6 + 18*T2^7 + 72*T1*T2^7 - 
      480*T1^2*T2^7 + 340*T1^3*T2^7 + 862*T1^4*T2^7 - 1378*T1^5*T2^7 + 
      1165*T1^6*T2^7 - 3098*T1^7*T2^7 + 1606*T1^8*T2^7 + 897*T1^9*T2^7 + 
      1340*T1^10*T2^7 - 1512*T1^11*T2^7 - 52*T1^12*T2^7 + 600*T1^13*T2^7 - 
      126*T1^14*T2^7 - 24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 162*T1^2*T2^8 + 
      334*T1^3*T2^8 - 1369*T1^4*T2^8 + 1386*T1^5*T2^8 - 1091*T1^6*T2^8 + 
      1606*T1^7*T2^8 + 684*T1^8*T2^8 - 2074*T1^9*T2^8 - 1411*T1^10*T2^8 - 
      70*T1^11*T2^8 + 1755*T1^12*T2^8 - 1034*T1^13*T2^8 - 114*T1^14*T2^8 + 
      114*T1^15*T2^8 + 5*T1^16*T2^8 + 12*T1*T2^9 + 18*T1^2*T2^9 - 
      360*T1^3*T2^9 + 596*T1^4*T2^9 + 284*T1^5*T2^9 - 940*T1^6*T2^9 + 
      897*T1^7*T2^9 - 2074*T1^8*T2^9 + 2630*T1^9*T2^9 + 629*T1^10*T2^9 + 
      1778*T1^11*T2^9 - 2090*T1^12*T2^9 + 204*T1^13*T2^9 + 720*T1^14*T2^9 - 
      180*T1^15*T2^9 - 30*T1^16*T2^9 - 15*T1^2*T2^10 + 90*T1^3*T2^10 + 
      118*T1^4*T2^10 - 780*T1^5*T2^10 + 167*T1^6*T2^10 + 1340*T1^7*T2^10 - 
      1411*T1^8*T2^10 + 629*T1^9*T2^10 - 3079*T1^10*T2^10 - 64*T1^11*T2^10 + 
      281*T1^12*T2^10 + 1020*T1^13*T2^10 - 1010*T1^14*T2^10 + 
      78*T1^15*T2^10 + 75*T1^16*T2^10 - 138*T1^4*T2^11 + 170*T1^5*T2^11 + 
      892*T1^6*T2^11 - 1512*T1^7*T2^11 - 70*T1^8*T2^11 + 1778*T1^9*T2^11 - 
      64*T1^10*T2^11 + 2664*T1^11*T2^11 - 1450*T1^12*T2^11 - 
      588*T1^13*T2^11 + 674*T1^14*T2^11 + 108*T1^15*T2^11 - 110*T1^16*T2^11 + 
      23*T1^4*T2^12 + 126*T1^5*T2^12 - 566*T1^6*T2^12 - 52*T1^7*T2^12 + 
      1755*T1^8*T2^12 - 2090*T1^9*T2^12 + 281*T1^10*T2^12 - 
      1450*T1^11*T2^12 - 445*T1^12*T2^12 + 1620*T1^13*T2^12 - 
      770*T1^14*T2^12 - 162*T1^15*T2^12 + 115*T1^16*T2^12 - 44*T1^5*T2^13 - 
      6*T1^6*T2^13 + 600*T1^7*T2^13 - 1034*T1^8*T2^13 + 204*T1^9*T2^13 + 
      1020*T1^10*T2^13 - 588*T1^11*T2^13 + 1620*T1^12*T2^13 - 
      1406*T1^13*T2^13 + 240*T1^14*T2^13 + 300*T1^15*T2^13 - 
      110*T1^16*T2^13 + 45*T1^6*T2^14 - 126*T1^7*T2^14 - 114*T1^8*T2^14 + 
      720*T1^9*T2^14 - 1010*T1^10*T2^14 + 674*T1^11*T2^14 - 770*T1^12*T2^14 + 
      240*T1^13*T2^14 + 306*T1^14*T2^14 - 306*T1^15*T2^14 + 75*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 180*T1^9*T2^15 + 78*T1^10*T2^15 + 
      108*T1^11*T2^15 - 162*T1^12*T2^15 + 300*T1^13*T2^15 - 306*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      75*T1^10*T2^16 - 110*T1^11*T2^16 + 115*T1^12*T2^16 - 110*T1^13*T2^16 + 
      75*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 288] -> 
  {(2 - 3*T + 2*T^2)^2/T^2, (2*(-76 + 228*T1 - 324*T1^2 + 228*T1^3 - 
      76*T1^4 + 228*T2 - 549*T1*T2 + 574*T1^2*T2 - 122*T1^3*T2 - 
      165*T1^4*T2 + 132*T1^5*T2 - 324*T2^2 + 574*T1*T2^2 - 285*T1^2*T2^2 - 
      496*T1^3*T2^2 + 599*T1^4*T2^2 - 242*T1^5*T2^2 - 52*T1^6*T2^2 + 
      228*T2^3 - 122*T1*T2^3 - 496*T1^2*T2^3 + 1153*T1^3*T2^3 - 
      653*T1^4*T2^3 - 88*T1^5*T2^3 + 334*T1^6*T2^3 - 60*T1^7*T2^3 - 76*T2^4 - 
      165*T1*T2^4 + 599*T1^2*T2^4 - 653*T1^3*T2^4 - 246*T1^4*T2^4 + 
      835*T1^5*T2^4 - 585*T1^6*T2^4 + 27*T1^7*T2^4 + 52*T1^8*T2^4 + 
      132*T1*T2^5 - 242*T1^2*T2^5 - 88*T1^3*T2^5 + 835*T1^4*T2^5 - 
      971*T1^5*T2^5 + 320*T1^6*T2^5 + 214*T1^7*T2^5 - 156*T1^8*T2^5 - 
      52*T1^2*T2^6 + 334*T1^3*T2^6 - 585*T1^4*T2^6 + 320*T1^5*T2^6 + 
      299*T1^6*T2^6 - 482*T1^7*T2^6 + 220*T1^8*T2^6 - 60*T1^3*T2^7 + 
      27*T1^4*T2^7 + 214*T1^5*T2^7 - 482*T1^6*T2^7 + 411*T1^7*T2^7 - 
      156*T1^8*T2^7 + 52*T1^4*T2^8 - 156*T1^5*T2^8 + 220*T1^6*T2^8 - 
      156*T1^7*T2^8 + 52*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 289] -> 
  {((2 - 3*T + 2*T^2)*(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4))/T^3, 
   -((400 - 1184*T1 + 1856*T1^2 - 2040*T1^3 + 1856*T1^4 - 1184*T1^5 + 
      400*T1^6 - 1184*T2 + 2528*T1*T2 - 2592*T1^2*T2 + 1472*T1^3*T2 - 
      448*T1^4*T2 - 1104*T1^5*T2 + 1760*T1^6*T2 - 992*T1^7*T2 + 1856*T2^2 - 
      2592*T1*T2^2 + 1142*T1^2*T2^2 + 652*T1^3*T2^2 - 896*T1^4*T2^2 + 
      2020*T1^5*T2^2 - 1138*T1^6*T2^2 - 768*T1^7*T2^2 + 1248*T1^8*T2^2 - 
      2040*T2^3 + 1472*T1*T2^3 + 652*T1^2*T2^3 - 1448*T1^3*T2^3 + 
      220*T1^4*T2^3 - 1088*T1^5*T2^3 - 680*T1^6*T2^3 + 1792*T1^7*T2^3 - 
      640*T1^8*T2^3 - 1032*T1^9*T2^3 + 1856*T2^4 - 448*T1*T2^4 - 
      896*T1^2*T2^4 + 220*T1^3*T2^4 + 1381*T1^4*T2^4 + 167*T1^5*T2^4 + 
      1357*T1^6*T2^4 - 956*T1^7*T2^4 - 624*T1^8*T2^4 + 1184*T1^9*T2^4 + 
      640*T1^10*T2^4 - 1184*T2^5 - 1104*T1*T2^5 + 2020*T1^2*T2^5 - 
      1088*T1^3*T2^5 + 167*T1^4*T2^5 - 1757*T1^5*T2^5 - 353*T1^6*T2^5 - 
      4*T1^7*T2^5 + 484*T1^8*T2^5 - 32*T1^9*T2^5 - 1248*T1^10*T2^5 - 
      224*T1^11*T2^5 + 400*T2^6 + 1760*T1*T2^6 - 1138*T1^2*T2^6 - 
      680*T1^3*T2^6 + 1357*T1^4*T2^6 - 353*T1^5*T2^6 + 2400*T1^6*T2^6 - 
      1343*T1^7*T2^6 + 799*T1^8*T2^6 - 944*T1^9*T2^6 + 1062*T1^10*T2^6 + 
      608*T1^11*T2^6 + 16*T1^12*T2^6 - 992*T1*T2^7 - 768*T1^2*T2^7 + 
      1792*T1^3*T2^7 - 956*T1^4*T2^7 - 4*T1^5*T2^7 - 1343*T1^6*T2^7 + 
      61*T1^7*T2^7 - 175*T1^8*T2^7 + 616*T1^9*T2^7 - 260*T1^10*T2^7 - 
      912*T1^11*T2^7 - 32*T1^12*T2^7 + 1248*T1^2*T2^8 - 640*T1^3*T2^8 - 
      624*T1^4*T2^8 + 484*T1^5*T2^8 + 799*T1^6*T2^8 - 175*T1^7*T2^8 + 
      775*T1^8*T2^8 - 692*T1^9*T2^8 - 352*T1^10*T2^8 + 992*T1^11*T2^8 + 
      32*T1^12*T2^8 - 1032*T1^3*T2^9 + 1184*T1^4*T2^9 - 32*T1^5*T2^9 - 
      944*T1^6*T2^9 + 616*T1^7*T2^9 - 692*T1^8*T2^9 - 176*T1^9*T2^9 + 
      1108*T1^10*T2^9 - 928*T1^11*T2^9 - 24*T1^12*T2^9 + 640*T1^4*T2^10 - 
      1248*T1^5*T2^10 + 1062*T1^6*T2^10 - 260*T1^7*T2^10 - 352*T1^8*T2^10 + 
      1108*T1^9*T2^10 - 1218*T1^10*T2^10 + 576*T1^11*T2^10 + 32*T1^12*T2^10 - 
      224*T1^5*T2^11 + 608*T1^6*T2^11 - 912*T1^7*T2^11 + 992*T1^8*T2^11 - 
      928*T1^9*T2^11 + 576*T1^10*T2^11 - 160*T1^11*T2^11 - 32*T1^12*T2^11 + 
      16*T1^6*T2^12 - 32*T1^7*T2^12 + 32*T1^8*T2^12 - 24*T1^9*T2^12 + 
      32*T1^10*T2^12 - 32*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 290] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-5 + 35*T1 - 80*T1^2 + 105*T1^3 - 80*T1^4 + 35*T1^5 - 5*T1^6 + 35*T2 - 
      223*T1*T2 + 371*T1^2*T2 - 292*T1^3*T2 - 33*T1^4*T2 + 210*T1^5*T2 - 
      167*T1^6*T2 + 28*T1^7*T2 - 80*T2^2 + 371*T1*T2^2 + 83*T1^2*T2^2 - 
      1204*T1^3*T2^2 + 2191*T1^4*T2^2 - 1652*T1^5*T2^2 + 563*T1^6*T2^2 + 
      147*T1^7*T2^2 - 48*T1^8*T2^2 + 105*T2^3 - 292*T1*T2^3 - 
      1204*T1^2*T2^3 + 2745*T1^3*T2^3 - 2714*T1^4*T2^3 - 19*T1^5*T2^3 + 
      1555*T1^6*T2^3 - 1316*T1^7*T2^3 + 37*T1^8*T2^3 + 42*T1^9*T2^3 - 
      80*T2^4 - 33*T1*T2^4 + 2191*T1^2*T2^4 - 2714*T1^3*T2^4 + 
      819*T1^4*T2^4 + 2819*T1^5*T2^4 - 2337*T1^6*T2^4 + 352*T1^7*T2^4 + 
      1157*T1^8*T2^4 - 187*T1^9*T2^4 - 16*T1^10*T2^4 + 35*T2^5 + 
      210*T1*T2^5 - 1652*T1^2*T2^5 - 19*T1^3*T2^5 + 2819*T1^4*T2^5 - 
      4407*T1^5*T2^5 + 577*T1^6*T2^5 + 1923*T1^7*T2^5 - 1972*T1^8*T2^5 - 
      196*T1^9*T2^5 + 119*T1^10*T2^5 - 5*T2^6 - 167*T1*T2^6 + 563*T1^2*T2^6 + 
      1555*T1^3*T2^6 - 2337*T1^4*T2^6 + 577*T1^5*T2^6 + 3828*T1^6*T2^6 - 
      3693*T1^7*T2^6 + 1323*T1^8*T2^6 + 981*T1^9*T2^6 - 201*T1^10*T2^6 - 
      13*T1^11*T2^6 + T1^12*T2^6 + 28*T1*T2^7 + 147*T1^2*T2^7 - 
      1316*T1^3*T2^7 + 352*T1^4*T2^7 + 1923*T1^5*T2^7 - 3693*T1^6*T2^7 + 
      1291*T1^7*T2^7 + 1027*T1^8*T2^7 - 1601*T1^9*T2^7 + 140*T1^10*T2^7 + 
      56*T1^11*T2^7 - 7*T1^12*T2^7 - 48*T1^2*T2^8 + 37*T1^3*T2^8 + 
      1157*T1^4*T2^8 - 1972*T1^5*T2^8 + 1323*T1^6*T2^8 + 1027*T1^7*T2^8 - 
      1833*T1^8*T2^8 + 1094*T1^9*T2^8 + 123*T1^10*T2^8 - 117*T1^11*T2^8 + 
      16*T1^12*T2^8 + 42*T1^3*T2^9 - 187*T1^4*T2^9 - 196*T1^5*T2^9 + 
      981*T1^6*T2^9 - 1601*T1^7*T2^9 + 1094*T1^8*T2^9 - 209*T1^9*T2^9 - 
      308*T1^10*T2^9 + 142*T1^11*T2^9 - 21*T1^12*T2^9 - 16*T1^4*T2^10 + 
      119*T1^5*T2^10 - 201*T1^6*T2^10 + 140*T1^7*T2^10 + 123*T1^8*T2^10 - 
      308*T1^9*T2^10 + 279*T1^10*T2^10 - 105*T1^11*T2^10 + 16*T1^12*T2^10 - 
      13*T1^6*T2^11 + 56*T1^7*T2^11 - 117*T1^8*T2^11 + 142*T1^9*T2^11 - 
      105*T1^10*T2^11 + 43*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 
      7*T1^7*T2^12 + 16*T1^8*T2^12 - 21*T1^9*T2^12 + 16*T1^10*T2^12 - 
      7*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 291] -> {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-51 + 189*T1 - 382*T1^2 + 471*T1^3 - 382*T1^4 + 189*T1^5 - 51*T1^6 + 
     189*T2 - 611*T1*T2 + 1079*T1^2*T2 - 1056*T1^3*T2 + 561*T1^4*T2 - 
     10*T1^5*T2 - 149*T1^6*T2 + 90*T1^7*T2 - 382*T2^2 + 1079*T1*T2^2 - 
     1600*T1^2*T2^2 + 974*T1^3*T2^2 + 278*T1^4*T2^2 - 1138*T1^5*T2^2 + 
     908*T1^6*T2^2 - 373*T1^7*T2^2 + 14*T1^8*T2^2 + 471*T2^3 - 1056*T1*T2^3 + 
     974*T1^2*T2^3 + 581*T1^3*T2^3 - 2007*T1^4*T2^3 + 1832*T1^5*T2^3 - 
     115*T1^6*T2^3 - 984*T1^7*T2^3 + 891*T1^8*T2^3 - 258*T1^9*T2^3 - 
     382*T2^4 + 561*T1*T2^4 + 278*T1^2*T2^4 - 2007*T1^3*T2^4 + 
     2320*T1^4*T2^4 - 242*T1^5*T2^4 - 2168*T1^6*T2^4 + 2151*T1^7*T2^4 - 
     448*T1^8*T2^4 - 561*T1^9*T2^4 + 410*T1^10*T2^4 + 189*T2^5 - 10*T1*T2^5 - 
     1138*T1^2*T2^5 + 1832*T1^3*T2^5 - 242*T1^4*T2^5 - 3223*T1^5*T2^5 + 
     4235*T1^6*T2^5 - 1694*T1^7*T2^5 - 1369*T1^8*T2^5 + 1436*T1^9*T2^5 - 
     373*T1^10*T2^5 - 306*T1^11*T2^5 - 51*T2^6 - 149*T1*T2^6 + 
     908*T1^2*T2^6 - 115*T1^3*T2^6 - 2168*T1^4*T2^6 + 4235*T1^5*T2^6 - 
     1584*T1^6*T2^6 - 2651*T1^7*T2^6 + 4344*T1^8*T2^6 - 1573*T1^9*T2^6 - 
     324*T1^10*T2^6 + 709*T1^11*T2^6 + 111*T1^12*T2^6 + 90*T1*T2^7 - 
     373*T1^2*T2^7 - 984*T1^3*T2^7 + 2151*T1^4*T2^7 - 1694*T1^5*T2^7 - 
     2651*T1^6*T2^7 + 4807*T1^7*T2^7 - 3146*T1^8*T2^7 - 1050*T1^9*T2^7 + 
     1590*T1^10*T2^7 - 736*T1^11*T2^7 - 405*T1^12*T2^7 + 14*T1^2*T2^8 + 
     891*T1^3*T2^8 - 448*T1^4*T2^8 - 1369*T1^5*T2^8 + 4344*T1^6*T2^8 - 
     3146*T1^7*T2^8 - 144*T1^8*T2^8 + 2789*T1^9*T2^8 - 1174*T1^10*T2^8 - 
     231*T1^11*T2^8 + 806*T1^12*T2^8 - 258*T1^3*T2^9 - 561*T1^4*T2^9 + 
     1436*T1^5*T2^9 - 1573*T1^6*T2^9 - 1050*T1^7*T2^9 + 2789*T1^8*T2^9 - 
     2269*T1^9*T2^9 - 522*T1^10*T2^9 + 1386*T1^11*T2^9 - 987*T1^12*T2^9 + 
     410*T1^4*T2^10 - 373*T1^5*T2^10 - 324*T1^6*T2^10 + 1590*T1^7*T2^10 - 
     1174*T1^8*T2^10 - 522*T1^9*T2^10 + 2184*T1^10*T2^10 - 1825*T1^11*T2^10 + 
     806*T1^12*T2^10 - 306*T1^5*T2^11 + 709*T1^6*T2^11 - 736*T1^7*T2^11 - 
     231*T1^8*T2^11 + 1386*T1^9*T2^11 - 1825*T1^10*T2^11 + 1171*T1^11*T2^11 - 
     405*T1^12*T2^11 + 111*T1^6*T2^12 - 405*T1^7*T2^12 + 806*T1^8*T2^12 - 
     987*T1^9*T2^12 + 806*T1^10*T2^12 - 405*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 292] -> 
  {(2 - 4*T + 2*T^2 + 4*T^3 - 7*T^4 + 4*T^5 + 2*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 63*T1^2 + 132*T1^3 - 229*T1^4 + 132*T1^5 + 63*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 + 98*T1^2*T2 - 371*T1^3*T2 + 
      225*T1^4*T2 + 137*T1^5*T2 - 355*T1^6*T2 + 146*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 63*T2^2 + 98*T1*T2^2 - 334*T1^2*T2^2 + 249*T1^3*T2^2 + 
      275*T1^4*T2^2 - 558*T1^5*T2^2 + 347*T1^6*T2^2 + 185*T1^7*T2^2 - 
      334*T1^8*T2^2 + 130*T1^9*T2^2 + 47*T1^10*T2^2 + 132*T2^3 - 
      371*T1*T2^3 + 249*T1^2*T2^3 + 396*T1^3*T2^3 - 864*T1^4*T2^3 + 
      494*T1^5*T2^3 + 358*T1^6*T2^3 - 776*T1^7*T2^3 + 396*T1^8*T2^3 + 
      153*T1^9*T2^3 - 259*T1^10*T2^3 + 84*T1^11*T2^3 - 229*T2^4 + 
      225*T1*T2^4 + 275*T1^2*T2^4 - 864*T1^3*T2^4 + 521*T1^4*T2^4 + 
      445*T1^5*T2^4 - 1115*T1^6*T2^4 + 605*T1^7*T2^4 + 273*T1^8*T2^4 - 
      640*T1^9*T2^4 + 259*T1^10*T2^4 + 65*T1^11*T2^4 - 117*T1^12*T2^4 + 
      132*T2^5 + 137*T1*T2^5 - 558*T1^2*T2^5 + 494*T1^3*T2^5 + 
      445*T1^4*T2^5 - 1070*T1^5*T2^5 + 743*T1^6*T2^5 + 423*T1^7*T2^5 - 
      914*T1^8*T2^5 + 509*T1^9*T2^5 + 214*T1^10*T2^5 - 318*T1^11*T2^5 + 
      129*T1^12*T2^5 + 52*T1^13*T2^5 + 63*T2^6 - 355*T1*T2^6 + 
      347*T1^2*T2^6 + 358*T1^3*T2^6 - 1115*T1^4*T2^6 + 743*T1^5*T2^6 + 
      468*T1^6*T2^6 - 1258*T1^7*T2^6 + 728*T1^8*T2^6 + 295*T1^9*T2^6 - 
      691*T1^10*T2^6 + 278*T1^11*T2^6 + 99*T1^12*T2^6 - 131*T1^13*T2^6 + 
      15*T1^14*T2^6 - 129*T2^7 + 146*T1*T2^7 + 185*T1^2*T2^7 - 
      776*T1^3*T2^7 + 605*T1^4*T2^7 + 423*T1^5*T2^7 - 1258*T1^6*T2^7 + 
      776*T1^7*T2^7 + 324*T1^8*T2^7 - 938*T1^9*T2^7 + 487*T1^10*T2^7 + 
      157*T1^11*T2^7 - 320*T1^12*T2^7 + 89*T1^13*T2^7 + 2*T1^14*T2^7 - 
      17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 334*T1^2*T2^8 + 396*T1^3*T2^8 + 
      273*T1^4*T2^8 - 914*T1^5*T2^8 + 728*T1^6*T2^8 + 324*T1^7*T2^8 - 
      876*T1^8*T2^8 + 612*T1^9*T2^8 + 168*T1^10*T2^8 - 434*T1^11*T2^8 + 
      209*T1^12*T2^8 + 76*T1^13*T2^8 - 46*T1^14*T2^8 + 32*T1^15*T2^8 + 
      T1^16*T2^8 - 113*T1*T2^9 + 130*T1^2*T2^9 + 153*T1^3*T2^9 - 
      640*T1^4*T2^9 + 509*T1^5*T2^9 + 295*T1^6*T2^9 - 938*T1^7*T2^9 + 
      612*T1^8*T2^9 + 160*T1^9*T2^9 - 618*T1^10*T2^9 + 359*T1^11*T2^9 + 
      61*T1^12*T2^9 - 184*T1^13*T2^9 + 57*T1^14*T2^9 - 14*T1^15*T2^9 - 
      T1^16*T2^9 + 47*T1^2*T2^10 - 259*T1^3*T2^10 + 259*T1^4*T2^10 + 
      214*T1^5*T2^10 - 691*T1^6*T2^10 + 487*T1^7*T2^10 + 168*T1^8*T2^10 - 
      618*T1^9*T2^10 + 428*T1^10*T2^10 + 39*T1^11*T2^10 - 267*T1^12*T2^10 + 
      134*T1^13*T2^10 + 11*T1^14*T2^10 - 35*T1^15*T2^10 - T1^16*T2^10 + 
      84*T1^3*T2^11 + 65*T1^4*T2^11 - 318*T1^5*T2^11 + 278*T1^6*T2^11 + 
      157*T1^7*T2^11 - 434*T1^8*T2^11 + 359*T1^9*T2^11 + 39*T1^10*T2^11 - 
      278*T1^11*T2^11 + 221*T1^12*T2^11 - 2*T1^13*T2^11 - 78*T1^14*T2^11 + 
      57*T1^15*T2^11 + 4*T1^16*T2^11 - 117*T1^4*T2^12 + 129*T1^5*T2^12 + 
      99*T1^6*T2^12 - 320*T1^7*T2^12 + 209*T1^8*T2^12 + 61*T1^9*T2^12 - 
      267*T1^10*T2^12 + 221*T1^11*T2^12 - 39*T1^12*T2^12 - 96*T1^13*T2^12 + 
      83*T1^14*T2^12 - 31*T1^15*T2^12 - 5*T1^16*T2^12 + 52*T1^5*T2^13 - 
      131*T1^6*T2^13 + 89*T1^7*T2^13 + 76*T1^8*T2^13 - 184*T1^9*T2^13 + 
      134*T1^10*T2^13 - 2*T1^11*T2^13 - 96*T1^12*T2^13 + 76*T1^13*T2^13 - 
      7*T1^14*T2^13 - 19*T1^15*T2^13 + 4*T1^16*T2^13 + 15*T1^6*T2^14 + 
      2*T1^7*T2^14 - 46*T1^8*T2^14 + 57*T1^9*T2^14 + 11*T1^10*T2^14 - 
      78*T1^11*T2^14 + 83*T1^12*T2^14 - 7*T1^13*T2^14 - 46*T1^14*T2^14 + 
      34*T1^15*T2^14 - T1^16*T2^14 - 17*T1^7*T2^15 + 32*T1^8*T2^15 - 
      14*T1^9*T2^15 - 35*T1^10*T2^15 + 57*T1^11*T2^15 - 31*T1^12*T2^15 - 
      19*T1^13*T2^15 + 34*T1^14*T2^15 - 16*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 - T1^10*T2^16 + 4*T1^11*T2^16 - 5*T1^12*T2^16 + 
      4*T1^13*T2^16 - T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 293] -> 
  {(2 - 3*T + 2*T^2)/T, (2*T1 - 2*T1^2 + 2*T1^3 + 2*T2 - 8*T1*T2 + 
     4*T1^2*T2 + 4*T1^3*T2 - 8*T1^4*T2 + 2*T1^5*T2 - 2*T2^2 + 4*T1*T2^2 - 
     21*T1^2*T2^2 + 23*T1^3*T2^2 - 21*T1^4*T2^2 + 4*T1^5*T2^2 - 2*T1^6*T2^2 + 
     2*T2^3 + 4*T1*T2^3 + 23*T1^2*T2^3 - 12*T1^3*T2^3 + 18*T1^4*T2^3 + 
     11*T1^5*T2^3 + 4*T1^6*T2^3 + 2*T1^7*T2^3 - 8*T1*T2^4 - 21*T1^2*T2^4 + 
     18*T1^3*T2^4 - 36*T1^4*T2^4 - 6*T1^5*T2^4 - 5*T1^6*T2^4 - 8*T1^7*T2^4 + 
     2*T1*T2^5 + 4*T1^2*T2^5 + 11*T1^3*T2^5 - 6*T1^4*T2^5 + 24*T1^5*T2^5 - 
     T1^6*T2^5 + 4*T1^7*T2^5 + 2*T1^8*T2^5 - 2*T1^2*T2^6 + 4*T1^3*T2^6 - 
     5*T1^4*T2^6 - T1^5*T2^6 - 5*T1^6*T2^6 + 4*T1^7*T2^6 - 2*T1^8*T2^6 + 
     2*T1^3*T2^7 - 8*T1^4*T2^7 + 4*T1^5*T2^7 + 4*T1^6*T2^7 - 8*T1^7*T2^7 + 
     2*T1^8*T2^7 + 2*T1^5*T2^8 - 2*T1^6*T2^8 + 2*T1^7*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 294] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 36*T1^3 - 30*T1^4 + 36*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 + 20*T1^3*T2 - 55*T1^5*T2 + 
     90*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 48*T2^2 + 
     115*T1*T2^2 + 207*T1^2*T2^2 - 546*T1^3*T2^2 + 248*T1^4*T2^2 - 
     139*T1^5*T2^2 + 200*T1^6*T2^2 - 562*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 36*T2^3 + 20*T1*T2^3 - 546*T1^2*T2^3 + 
     592*T1^3*T2^3 + 170*T1^4*T2^3 - 36*T1^5*T2^3 - 224*T1^6*T2^3 + 
     550*T1^7*T2^3 + 198*T1^8*T2^3 - 450*T1^9*T2^3 + 70*T1^10*T2^3 + 
     18*T1^11*T2^3 - 30*T2^4 + 248*T1^2*T2^4 + 170*T1^3*T2^4 - 
     859*T1^4*T2^4 + 330*T1^5*T2^4 - 159*T1^6*T2^4 + 130*T1^7*T2^4 - 
     839*T1^8*T2^4 + 470*T1^9*T2^4 + 108*T1^10*T2^4 - 40*T1^11*T2^4 - 
     10*T1^12*T2^4 + 36*T2^5 - 55*T1*T2^5 - 139*T1^2*T2^5 - 36*T1^3*T2^5 + 
     330*T1^4*T2^5 + 129*T1^5*T2^5 - 57*T1^6*T2^5 + 75*T1^7*T2^5 + 
     261*T1^8*T2^5 + 81*T1^9*T2^5 - 168*T1^10*T2^5 - 52*T1^11*T2^5 + 
     20*T1^12*T2^5 + 6*T1^13*T2^5 - 48*T2^6 + 90*T1*T2^6 + 200*T1^2*T2^6 - 
     224*T1^3*T2^6 - 159*T1^4*T2^6 - 57*T1^5*T2^6 - 37*T1^6*T2^6 - 
     111*T1^7*T2^6 - 61*T1^8*T2^6 + 55*T1^9*T2^6 - 79*T1^10*T2^6 + 
     48*T1^11*T2^6 + 64*T1^12*T2^6 - 30*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     562*T1^2*T2^7 + 550*T1^3*T2^7 + 130*T1^4*T2^7 + 75*T1^5*T2^7 - 
     111*T1^6*T2^7 + 417*T1^7*T2^7 - 287*T1^8*T2^7 - 11*T1^9*T2^7 - 
     97*T1^10*T2^7 + 183*T1^11*T2^7 - 150*T1^12*T2^7 + 14*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     198*T1^3*T2^8 - 839*T1^4*T2^8 + 261*T1^5*T2^8 - 61*T1^6*T2^8 - 
     287*T1^7*T2^8 + 120*T1^8*T2^8 + 251*T1^9*T2^8 + 55*T1^10*T2^8 - 
     69*T1^11*T2^8 - 11*T1^12*T2^8 + 142*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     450*T1^3*T2^9 + 470*T1^4*T2^9 + 81*T1^5*T2^9 + 55*T1^6*T2^9 - 
     11*T1^7*T2^9 + 251*T1^8*T2^9 - 453*T1^9*T2^9 + 89*T1^10*T2^9 - 
     117*T1^11*T2^9 + 134*T1^12*T2^9 - 230*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 70*T1^3*T2^10 + 
     108*T1^4*T2^10 - 168*T1^5*T2^10 - 79*T1^6*T2^10 - 97*T1^7*T2^10 + 
     55*T1^8*T2^10 + 89*T1^9*T2^10 + 31*T1^10*T2^10 + 15*T1^11*T2^10 + 
     T1^12*T2^10 + 104*T1^13*T2^10 - 28*T1^14*T2^10 - 50*T1^15*T2^10 + 
     16*T1^16*T2^10 + 18*T1^3*T2^11 - 40*T1^4*T2^11 - 52*T1^5*T2^11 + 
     48*T1^6*T2^11 + 183*T1^7*T2^11 - 69*T1^8*T2^11 - 117*T1^9*T2^11 + 
     15*T1^10*T2^11 + 63*T1^11*T2^11 - 66*T1^12*T2^11 - 84*T1^13*T2^11 + 
     35*T1^14*T2^11 + 35*T1^15*T2^11 - 12*T1^16*T2^11 - 10*T1^4*T2^12 + 
     20*T1^5*T2^12 + 64*T1^6*T2^12 - 150*T1^7*T2^12 - 11*T1^8*T2^12 + 
     134*T1^9*T2^12 + T1^10*T2^12 - 66*T1^11*T2^12 + 9*T1^12*T2^12 + 
     150*T1^13*T2^12 - 76*T1^14*T2^12 - 20*T1^15*T2^12 + 10*T1^16*T2^12 + 
     6*T1^5*T2^13 - 30*T1^6*T2^13 + 14*T1^7*T2^13 + 142*T1^8*T2^13 - 
     230*T1^9*T2^13 + 104*T1^10*T2^13 - 84*T1^11*T2^13 + 150*T1^12*T2^13 - 
     252*T1^13*T2^13 + 110*T1^14*T2^13 + 20*T1^15*T2^13 - 12*T1^16*T2^13 + 
     25*T1^7*T2^14 - 111*T1^8*T2^14 + 126*T1^9*T2^14 - 28*T1^10*T2^14 + 
     35*T1^11*T2^14 - 76*T1^12*T2^14 + 110*T1^13*T2^14 + T1^14*T2^14 - 
     55*T1^15*T2^14 + 16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     10*T1^9*T2^15 - 50*T1^10*T2^15 + 35*T1^11*T2^15 - 20*T1^12*T2^15 + 
     20*T1^13*T2^15 - 55*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 16*T1^10*T2^16 - 12*T1^11*T2^16 + 
     10*T1^12*T2^16 - 12*T1^13*T2^16 + 16*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 295] -> 
  {(1 - 9*T + 26*T^2 - 35*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 52*T1^2 + 70*T1^3 - 52*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     151*T1*T2 + 385*T1^2*T2 - 398*T1^3*T2 + 151*T1^4*T2 + 70*T1^5*T2 - 
     61*T1^6*T2 + 9*T1^7*T2 - 52*T2^2 + 385*T1*T2^2 - 671*T1^2*T2^2 - 
     144*T1^3*T2^2 + 1339*T1^4*T2^2 - 1496*T1^5*T2^2 + 629*T1^6*T2^2 - 
     83*T1^7*T2^2 + 70*T2^3 - 398*T1*T2^3 - 144*T1^2*T2^3 + 3327*T1^3*T2^3 - 
     6007*T1^4*T2^3 + 4592*T1^5*T2^3 - 1083*T1^6*T2^3 - 534*T1^7*T2^3 + 
     313*T1^8*T2^3 - 35*T1^9*T2^3 - 52*T2^4 + 151*T1*T2^4 + 1339*T1^2*T2^4 - 
     6007*T1^3*T2^4 + 7452*T1^4*T2^4 - 534*T1^5*T2^4 - 6328*T1^6*T2^4 + 
     6103*T1^7*T2^4 - 1627*T1^8*T2^4 - 155*T1^9*T2^4 + 52*T1^10*T2^4 + 
     18*T2^5 + 70*T1*T2^5 - 1496*T1^2*T2^5 + 4592*T1^3*T2^5 - 534*T1^4*T2^5 - 
     13509*T1^5*T2^5 + 17881*T1^6*T2^5 - 8282*T1^7*T2^5 - 2985*T1^8*T2^5 + 
     2742*T1^9*T2^5 - 227*T1^10*T2^5 - 27*T1^11*T2^5 - 2*T2^6 - 61*T1*T2^6 + 
     629*T1^2*T2^6 - 1083*T1^3*T2^6 - 6328*T1^4*T2^6 + 17881*T1^5*T2^6 - 
     9072*T1^6*T2^6 - 9225*T1^7*T2^6 + 16288*T1^8*T2^6 - 5037*T1^9*T2^6 - 
     779*T1^10*T2^6 + 209*T1^11*T2^6 + 4*T1^12*T2^6 + 9*T1*T2^7 - 
     83*T1^2*T2^7 - 534*T1^3*T2^7 + 6103*T1^4*T2^7 - 8282*T1^5*T2^7 - 
     9225*T1^6*T2^7 + 22165*T1^7*T2^7 - 16030*T1^8*T2^7 - 1474*T1^9*T2^7 + 
     3704*T1^10*T2^7 - 380*T1^11*T2^7 - 36*T1^12*T2^7 + 313*T1^3*T2^8 - 
     1627*T1^4*T2^8 - 2985*T1^5*T2^8 + 16288*T1^6*T2^8 - 16030*T1^7*T2^8 + 
     2508*T1^8*T2^8 + 9125*T1^9*T2^8 - 4593*T1^10*T2^8 + 7*T1^11*T2^8 + 
     104*T1^12*T2^8 - 35*T1^3*T2^9 - 155*T1^4*T2^9 + 2742*T1^5*T2^9 - 
     5037*T1^6*T2^9 - 1474*T1^7*T2^9 + 9125*T1^8*T2^9 - 9447*T1^9*T2^9 + 
     2352*T1^10*T2^9 + 556*T1^11*T2^9 - 140*T1^12*T2^9 + 52*T1^4*T2^10 - 
     227*T1^5*T2^10 - 779*T1^6*T2^10 + 3704*T1^7*T2^10 - 4593*T1^8*T2^10 + 
     2352*T1^9*T2^10 + 521*T1^10*T2^10 - 695*T1^11*T2^10 + 104*T1^12*T2^10 - 
     27*T1^5*T2^11 + 209*T1^6*T2^11 - 380*T1^7*T2^11 + 7*T1^8*T2^11 + 
     556*T1^9*T2^11 - 695*T1^10*T2^11 + 299*T1^11*T2^11 - 36*T1^12*T2^11 + 
     4*T1^6*T2^12 - 36*T1^7*T2^12 + 104*T1^8*T2^12 - 140*T1^9*T2^12 + 
     104*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 296] -> 
  {(1 - 5*T + 8*T^2 - 4*T^3 + T^4 - 4*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 24*T1^3 - 6*T1^4 + 24*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 + 80*T1^3*T2 - 70*T1^4*T2 - 
     95*T1^5*T2 + 140*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     48*T2^2 + 115*T1*T2^2 + 207*T1^2*T2^2 - 642*T1^3*T2^2 + 191*T1^4*T2^2 + 
     199*T1^5*T2^2 + 79*T1^6*T2^2 - 626*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 24*T2^3 + 80*T1*T2^3 - 642*T1^2*T2^3 + 
     704*T1^3*T2^3 + 441*T1^4*T2^3 - 437*T1^5*T2^3 - 493*T1^6*T2^3 + 
     849*T1^7*T2^3 + 244*T1^8*T2^3 - 498*T1^9*T2^3 + 100*T1^10*T2^3 + 
     12*T1^11*T2^3 - 6*T2^4 - 70*T1*T2^4 + 191*T1^2*T2^4 + 441*T1^3*T2^4 - 
     1315*T1^4*T2^4 + 439*T1^5*T2^4 + 363*T1^6*T2^4 + 163*T1^7*T2^4 - 
     1275*T1^8*T2^4 + 705*T1^9*T2^4 + 23*T1^10*T2^4 - 50*T1^11*T2^4 - 
     2*T1^12*T2^4 + 24*T2^5 - 95*T1*T2^5 + 199*T1^2*T2^5 - 437*T1^3*T2^5 + 
     439*T1^4*T2^5 + 191*T1^5*T2^5 - 156*T1^6*T2^5 - 396*T1^7*T2^5 + 
     585*T1^8*T2^5 + 78*T1^9*T2^5 - 285*T1^10*T2^5 + 82*T1^11*T2^5 - 
     10*T1^12*T2^5 + 4*T1^13*T2^5 - 48*T2^6 + 140*T1*T2^6 + 79*T1^2*T2^6 - 
     493*T1^3*T2^6 + 363*T1^4*T2^6 - 156*T1^5*T2^6 + 68*T1^6*T2^6 - 
     240*T1^7*T2^6 + 372*T1^8*T2^6 - 332*T1^9*T2^6 + 203*T1^10*T2^6 - 
     125*T1^11*T2^6 + 79*T1^12*T2^6 - 20*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     626*T1^2*T2^7 + 849*T1^3*T2^7 + 163*T1^4*T2^7 - 396*T1^5*T2^7 - 
     240*T1^6*T2^7 + 765*T1^7*T2^7 - 493*T1^8*T2^7 - 48*T1^9*T2^7 - 
     28*T1^10*T2^7 + 184*T1^11*T2^7 - 135*T1^12*T2^7 - 2*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     244*T1^3*T2^8 - 1275*T1^4*T2^8 + 585*T1^5*T2^8 + 372*T1^6*T2^8 - 
     493*T1^7*T2^8 - 84*T1^8*T2^8 + 549*T1^9*T2^8 - 132*T1^10*T2^8 - 
     97*T1^11*T2^8 + 21*T1^12*T2^8 + 164*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     498*T1^3*T2^9 + 705*T1^4*T2^9 + 78*T1^5*T2^9 - 332*T1^6*T2^9 - 
     48*T1^7*T2^9 + 549*T1^8*T2^9 - 709*T1^9*T2^9 + 144*T1^10*T2^9 + 
     36*T1^11*T2^9 + 99*T1^12*T2^9 - 279*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 100*T1^3*T2^10 + 
     23*T1^4*T2^10 - 285*T1^5*T2^10 + 203*T1^6*T2^10 - 28*T1^7*T2^10 - 
     132*T1^8*T2^10 + 144*T1^9*T2^10 + 172*T1^10*T2^10 - 204*T1^11*T2^10 + 
     43*T1^12*T2^10 + 83*T1^13*T2^10 + 23*T1^14*T2^10 - 60*T1^15*T2^10 + 
     16*T1^16*T2^10 + 12*T1^3*T2^11 - 50*T1^4*T2^11 + 82*T1^5*T2^11 - 
     125*T1^6*T2^11 + 184*T1^7*T2^11 - 97*T1^8*T2^11 + 36*T1^9*T2^11 - 
     204*T1^10*T2^11 + 297*T1^11*T2^11 - 177*T1^12*T2^11 + 27*T1^13*T2^11 - 
     35*T1^14*T2^11 + 35*T1^15*T2^11 - 8*T1^16*T2^11 - 2*T1^4*T2^12 - 
     10*T1^5*T2^12 + 79*T1^6*T2^12 - 135*T1^7*T2^12 + 21*T1^8*T2^12 + 
     99*T1^9*T2^12 + 43*T1^10*T2^12 - 177*T1^11*T2^12 + 61*T1^12*T2^12 + 
     129*T1^13*T2^12 - 89*T1^14*T2^12 + 10*T1^15*T2^12 + 2*T1^16*T2^12 + 
     4*T1^5*T2^13 - 20*T1^6*T2^13 - 2*T1^7*T2^13 + 164*T1^8*T2^13 - 
     279*T1^9*T2^13 + 83*T1^10*T2^13 + 27*T1^11*T2^13 + 129*T1^12*T2^13 - 
     296*T1^13*T2^13 + 142*T1^14*T2^13 - 8*T1^16*T2^13 + 25*T1^7*T2^14 - 
     111*T1^8*T2^14 + 126*T1^9*T2^14 + 23*T1^10*T2^14 - 35*T1^11*T2^14 - 
     89*T1^12*T2^14 + 142*T1^13*T2^14 + T1^14*T2^14 - 55*T1^15*T2^14 + 
     16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 10*T1^9*T2^15 - 
     60*T1^10*T2^15 + 35*T1^11*T2^15 + 10*T1^12*T2^15 - 55*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     16*T1^10*T2^16 - 8*T1^11*T2^16 + 2*T1^12*T2^16 - 8*T1^13*T2^16 + 
     16*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 297] -> 
  {((1 - 3*T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3, 
   (-33 + 181*T1 - 360*T1^2 + 407*T1^3 - 360*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1225*T1^2*T2 - 743*T1^3*T2 + 291*T1^4*T2 + 
     499*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 360*T2^2 + 1225*T1*T2^2 - 
     14*T1^2*T2^2 - 2692*T1^3*T2^2 + 3288*T1^4*T2^2 - 3924*T1^5*T2^2 + 
     1746*T1^6*T2^2 + 257*T1^7*T2^2 - 184*T1^8*T2^2 + 407*T2^3 - 
     743*T1*T2^3 - 2692*T1^2*T2^3 + 5844*T1^3*T2^3 - 3685*T1^4*T2^3 + 
     2739*T1^5*T2^3 + 1908*T1^6*T2^3 - 2846*T1^7*T2^3 + 423*T1^8*T2^3 + 
     107*T1^9*T2^3 - 360*T2^4 + 291*T1*T2^4 + 3288*T1^2*T2^4 - 
     3685*T1^3*T2^4 - 1976*T1^4*T2^4 + 3088*T1^5*T2^4 - 6156*T1^6*T2^4 + 
     2915*T1^7*T2^4 + 1110*T1^8*T2^4 - 545*T1^9*T2^4 - 8*T1^10*T2^4 + 
     181*T2^5 + 499*T1*T2^5 - 3924*T1^2*T2^5 + 2739*T1^3*T2^5 + 
     3088*T1^4*T2^5 - 1784*T1^5*T2^5 + 1538*T1^6*T2^5 + 2120*T1^7*T2^5 - 
     3333*T1^8*T2^5 + 542*T1^9*T2^5 + 257*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1746*T1^2*T2^6 + 1908*T1^3*T2^6 - 
     6156*T1^4*T2^6 + 1538*T1^5*T2^6 + 1092*T1^6*T2^6 - 2598*T1^7*T2^6 + 
     1632*T1^8*T2^6 + 1308*T1^9*T2^6 - 1114*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 257*T1^2*T2^7 - 2846*T1^3*T2^7 + 
     2915*T1^4*T2^7 + 2120*T1^5*T2^7 - 2598*T1^6*T2^7 + 724*T1^7*T2^7 + 
     1152*T1^8*T2^7 - 3157*T1^9*T2^7 + 1620*T1^10*T2^7 + 15*T1^11*T2^7 - 
     83*T1^12*T2^7 - 184*T1^2*T2^8 + 423*T1^3*T2^8 + 1110*T1^4*T2^8 - 
     3333*T1^5*T2^8 + 1632*T1^6*T2^8 + 1152*T1^7*T2^8 - 2548*T1^8*T2^8 + 
     3267*T1^9*T2^8 - 1068*T1^10*T2^8 - 413*T1^11*T2^8 + 168*T1^12*T2^8 + 
     107*T1^3*T2^9 - 545*T1^4*T2^9 + 542*T1^5*T2^9 + 1308*T1^6*T2^9 - 
     3157*T1^7*T2^9 + 3267*T1^8*T2^9 - 2628*T1^9*T2^9 + 388*T1^10*T2^9 + 
     621*T1^11*T2^9 - 193*T1^12*T2^9 - 8*T1^4*T2^10 + 257*T1^5*T2^10 - 
     1114*T1^6*T2^10 + 1620*T1^7*T2^10 - 1068*T1^8*T2^10 + 388*T1^9*T2^10 + 
     646*T1^10*T2^10 - 711*T1^11*T2^10 + 168*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 + 15*T1^7*T2^11 - 413*T1^8*T2^11 + 621*T1^9*T2^11 - 
     711*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 168*T1^8*T2^12 - 193*T1^9*T2^12 + 168*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 298] -> 
  {-((1 - 7*T + 21*T^2 - 31*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 63*T1^2 + 93*T1^3 - 63*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 344*T1^2*T2 - 359*T1^3*T2 + 5*T1^4*T2 + 148*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 63*T2^2 + 344*T1*T2^2 - 672*T1^2*T2^2 + 
      77*T1^3*T2^2 + 1252*T1^4*T2^2 - 931*T1^5*T2^2 + 168*T1^6*T2^2 + 
      50*T1^7*T2^2 - 21*T1^8*T2^2 + 93*T2^3 - 359*T1*T2^3 + 77*T1^2*T2^3 + 
      2194*T1^3*T2^3 - 4094*T1^4*T2^3 + 946*T1^5*T2^3 + 1054*T1^6*T2^3 - 
      700*T1^7*T2^3 + 145*T1^8*T2^3 - 63*T2^4 + 5*T1*T2^4 + 1252*T1^2*T2^4 - 
      4094*T1^3*T2^4 + 3129*T1^4*T2^4 + 4785*T1^5*T2^4 - 5607*T1^6*T2^4 + 
      1982*T1^7*T2^4 - 22*T1^8*T2^4 - 149*T1^9*T2^4 + 21*T1^10*T2^4 + 
      21*T2^5 + 148*T1*T2^5 - 931*T1^2*T2^5 + 946*T1^3*T2^5 + 
      4785*T1^4*T2^5 - 13389*T1^5*T2^5 + 8395*T1^6*T2^5 - 66*T1^7*T2^5 - 
      2022*T1^8*T2^5 + 770*T1^9*T2^5 - 48*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 168*T1^2*T2^6 + 1054*T1^3*T2^6 - 5607*T1^4*T2^6 + 
      8395*T1^5*T2^6 + 924*T1^6*T2^6 - 8895*T1^7*T2^6 + 6083*T1^8*T2^6 - 
      1190*T1^9*T2^6 - 196*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 50*T1^2*T2^7 - 700*T1^3*T2^7 + 1982*T1^4*T2^7 - 
      66*T1^5*T2^7 - 8895*T1^6*T2^7 + 12889*T1^7*T2^7 - 4917*T1^8*T2^7 - 
      986*T1^9*T2^7 + 1001*T1^10*T2^7 - 146*T1^11*T2^7 - 21*T1^12*T2^7 - 
      21*T1^2*T2^8 + 145*T1^3*T2^8 - 22*T1^4*T2^8 - 2022*T1^5*T2^8 + 
      6083*T1^6*T2^8 - 4917*T1^7*T2^8 - 2653*T1^8*T2^8 + 4054*T1^9*T2^8 - 
      1296*T1^10*T2^8 - 9*T1^11*T2^8 + 63*T1^12*T2^8 - 149*T1^4*T2^9 + 
      770*T1^5*T2^9 - 1190*T1^6*T2^9 - 986*T1^7*T2^9 + 4054*T1^8*T2^9 - 
      2330*T1^9*T2^9 - 7*T1^10*T2^9 + 355*T1^11*T2^9 - 93*T1^12*T2^9 + 
      21*T1^4*T2^10 - 48*T1^5*T2^10 - 196*T1^6*T2^10 + 1001*T1^7*T2^10 - 
      1296*T1^8*T2^10 - 7*T1^9*T2^10 + 644*T1^10*T2^10 - 342*T1^11*T2^10 + 
      63*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 146*T1^7*T2^11 - 
      9*T1^8*T2^11 + 355*T1^9*T2^11 - 342*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 63*T1^8*T2^12 - 
      93*T1^9*T2^12 + 63*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 299] -> 
  {-((3 - 12*T + 18*T^2 - 19*T^3 + 18*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-138 + 549*T1 - 817*T1^2 + 860*T1^3 - 817*T1^4 + 549*T1^5 - 138*T1^6 + 
      549*T2 - 1744*T1*T2 + 1500*T1^2*T2 - 819*T1^3*T2 + 513*T1^4*T2 + 
      420*T1^5*T2 - 1204*T1^6*T2 + 441*T1^7*T2 - 817*T2^2 + 1500*T1*T2^2 + 
      1628*T1^2*T2^2 - 3350*T1^3*T2^2 + 3232*T1^4*T2^2 - 4106*T1^5*T2^2 + 
      3248*T1^6*T2^2 + 204*T1^7*T2^2 - 493*T1^8*T2^2 + 860*T2^3 - 
      819*T1*T2^3 - 3350*T1^2*T2^3 + 2901*T1^3*T2^3 - 1136*T1^4*T2^3 + 
      1726*T1^5*T2^3 + 183*T1^6*T2^3 - 3188*T1^7*T2^3 + 585*T1^8*T2^3 + 
      347*T1^9*T2^3 - 817*T2^4 + 513*T1*T2^4 + 3232*T1^2*T2^4 - 
      1136*T1^3*T2^4 - 481*T1^4*T2^4 - 819*T1^5*T2^4 - 433*T1^6*T2^4 + 
      1600*T1^7*T2^4 + 1648*T1^8*T2^4 - 711*T1^9*T2^4 - 169*T1^10*T2^4 + 
      549*T2^5 + 420*T1*T2^5 - 4106*T1^2*T2^5 + 1726*T1^3*T2^5 - 
      819*T1^4*T2^5 + 2650*T1^5*T2^5 - 1436*T1^6*T2^5 - 63*T1^7*T2^5 - 
      1388*T1^8*T2^5 - 596*T1^9*T2^5 + 636*T1^10*T2^5 + 9*T1^11*T2^5 - 
      138*T2^6 - 1204*T1*T2^6 + 3248*T1^2*T2^6 + 183*T1^3*T2^6 - 
      433*T1^4*T2^6 - 1436*T1^5*T2^6 - 540*T1^6*T2^6 + 2020*T1^7*T2^6 - 
      685*T1^8*T2^6 + 1749*T1^9*T2^6 - 748*T1^10*T2^6 - 124*T1^11*T2^6 + 
      24*T1^12*T2^6 + 441*T1*T2^7 + 204*T1^2*T2^7 - 3188*T1^3*T2^7 + 
      1600*T1^4*T2^7 - 63*T1^5*T2^7 + 2020*T1^6*T2^7 - 2066*T1^7*T2^7 + 
      693*T1^8*T2^7 - 1514*T1^9*T2^7 + 322*T1^10*T2^7 + 420*T1^11*T2^7 - 
      99*T1^12*T2^7 - 493*T1^2*T2^8 + 585*T1^3*T2^8 + 1648*T1^4*T2^8 - 
      1388*T1^5*T2^8 - 685*T1^6*T2^8 + 693*T1^7*T2^8 - 637*T1^8*T2^8 + 
      1348*T1^9*T2^8 + 64*T1^10*T2^8 - 639*T1^11*T2^8 + 155*T1^12*T2^8 + 
      347*T1^3*T2^9 - 711*T1^4*T2^9 - 596*T1^5*T2^9 + 1749*T1^6*T2^9 - 
      1514*T1^7*T2^9 + 1348*T1^8*T2^9 - 969*T1^9*T2^9 - 434*T1^10*T2^9 + 
      693*T1^11*T2^9 - 166*T1^12*T2^9 - 169*T1^4*T2^10 + 636*T1^5*T2^10 - 
      748*T1^6*T2^10 + 322*T1^7*T2^10 + 64*T1^8*T2^10 - 434*T1^9*T2^10 + 
      872*T1^10*T2^10 - 660*T1^11*T2^10 + 155*T1^12*T2^10 + 9*T1^5*T2^11 - 
      124*T1^6*T2^11 + 420*T1^7*T2^11 - 639*T1^8*T2^11 + 693*T1^9*T2^11 - 
      660*T1^10*T2^11 + 416*T1^11*T2^11 - 99*T1^12*T2^11 + 24*T1^6*T2^12 - 
      99*T1^7*T2^12 + 155*T1^8*T2^12 - 166*T1^9*T2^12 + 155*T1^10*T2^12 - 
      99*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 300] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 54*T1^2 + 75*T1^3 - 54*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      131*T1*T2 + 274*T1^2*T2 - 267*T1^3*T2 + 34*T1^4*T2 + 99*T1^5*T2 - 
      75*T1^6*T2 + 14*T1^7*T2 - 54*T2^2 + 274*T1*T2^2 - 301*T1^2*T2^2 - 
      260*T1^3*T2^2 + 1067*T1^4*T2^2 - 908*T1^5*T2^2 + 311*T1^6*T2^2 + 
      22*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 267*T1*T2^3 - 260*T1^2*T2^3 + 
      1695*T1^3*T2^3 - 2552*T1^4*T2^3 + 991*T1^5*T2^3 + 495*T1^6*T2^3 - 
      602*T1^7*T2^3 + 132*T1^8*T2^3 - 54*T2^4 + 34*T1*T2^4 + 1067*T1^2*T2^4 - 
      2552*T1^3*T2^4 + 1834*T1^4*T2^4 + 1786*T1^5*T2^4 - 3242*T1^6*T2^4 + 
      1598*T1^7*T2^4 - 87*T1^8*T2^4 - 120*T1^9*T2^4 + 18*T1^10*T2^4 + 
      21*T2^5 + 99*T1*T2^5 - 908*T1^2*T2^5 + 991*T1^3*T2^5 + 1786*T1^4*T2^5 - 
      5499*T1^5*T2^5 + 4681*T1^6*T2^5 - 266*T1^7*T2^5 - 1338*T1^8*T2^5 + 
      658*T1^9*T2^5 - 34*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 75*T1*T2^6 + 
      311*T1^2*T2^6 + 495*T1^3*T2^6 - 3242*T1^4*T2^6 + 4681*T1^5*T2^6 - 
      1488*T1^6*T2^6 - 3693*T1^7*T2^6 + 2982*T1^8*T2^6 - 663*T1^9*T2^6 - 
      305*T1^10*T2^6 + 79*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      22*T1^2*T2^7 - 602*T1^3*T2^7 + 1598*T1^4*T2^7 - 266*T1^5*T2^7 - 
      3693*T1^6*T2^7 + 6487*T1^7*T2^7 - 2318*T1^8*T2^7 - 731*T1^9*T2^7 + 
      964*T1^10*T2^7 - 111*T1^11*T2^7 - 21*T1^12*T2^7 - 18*T1^2*T2^8 + 
      132*T1^3*T2^8 - 87*T1^4*T2^8 - 1338*T1^5*T2^8 + 2982*T1^6*T2^8 - 
      2318*T1^7*T2^8 - 2094*T1^8*T2^8 + 2812*T1^9*T2^8 - 1241*T1^10*T2^8 - 
      22*T1^11*T2^8 + 54*T1^12*T2^8 - 120*T1^4*T2^9 + 658*T1^5*T2^9 - 
      663*T1^6*T2^9 - 731*T1^7*T2^9 + 2812*T1^8*T2^9 - 1863*T1^9*T2^9 + 
      316*T1^10*T2^9 + 279*T1^11*T2^9 - 75*T1^12*T2^9 + 18*T1^4*T2^10 - 
      34*T1^5*T2^10 - 305*T1^6*T2^10 + 964*T1^7*T2^10 - 1241*T1^8*T2^10 + 
      316*T1^9*T2^10 + 307*T1^10*T2^10 - 286*T1^11*T2^10 + 54*T1^12*T2^10 - 
      14*T1^5*T2^11 + 79*T1^6*T2^11 - 111*T1^7*T2^11 - 22*T1^8*T2^11 + 
      279*T1^9*T2^11 - 286*T1^10*T2^11 + 135*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 54*T1^8*T2^12 - 75*T1^9*T2^12 + 
      54*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 301] -> 
  {-((1 - 5*T + 10*T^2 - 12*T^3 + 11*T^4 - 12*T^5 + 10*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 50*T1^2 + 60*T1^3 - 55*T1^4 + 60*T1^5 - 50*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 150*T1^2*T2 - 100*T1^3*T2 + 
      35*T1^4*T2 - 80*T1^5*T2 + 10*T1^6*T2 + 75*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 50*T2^2 + 150*T1*T2^2 - 32*T1^2*T2^2 - 244*T1^3*T2^2 + 
      343*T1^4*T2^2 - 134*T1^5*T2^2 + 363*T1^6*T2^2 - 384*T1^7*T2^2 + 
      148*T1^8*T2^2 + 50*T1^9*T2^2 - 30*T1^10*T2^2 + 60*T2^3 - 100*T1*T2^3 - 
      244*T1^2*T2^3 + 544*T1^3*T2^3 - 361*T1^4*T2^3 - 73*T1^5*T2^3 - 
      431*T1^6*T2^3 + 163*T1^7*T2^3 + 262*T1^8*T2^3 - 304*T1^9*T2^3 + 
      30*T1^10*T2^3 + 24*T1^11*T2^3 - 55*T2^4 + 35*T1*T2^4 + 343*T1^2*T2^4 - 
      361*T1^3*T2^4 - 122*T1^4*T2^4 + 478*T1^5*T2^4 + 304*T1^6*T2^4 + 
      290*T1^7*T2^4 - 522*T1^8*T2^4 + 191*T1^9*T2^4 + 183*T1^10*T2^4 - 
      65*T1^11*T2^4 - 11*T1^12*T2^4 + 60*T2^5 - 80*T1*T2^5 - 134*T1^2*T2^5 - 
      73*T1^3*T2^5 + 478*T1^4*T2^5 - 509*T1^5*T2^5 - 336*T1^6*T2^5 - 
      366*T1^7*T2^5 + 271*T1^8*T2^5 + 163*T1^9*T2^5 - 283*T1^10*T2^5 - 
      29*T1^11*T2^5 + 55*T1^12*T2^5 - 50*T2^6 + 10*T1*T2^6 + 363*T1^2*T2^6 - 
      431*T1^3*T2^6 + 304*T1^4*T2^6 - 336*T1^5*T2^6 + 918*T1^6*T2^6 - 
      84*T1^7*T2^6 - 2*T1^8*T2^6 - 196*T1^9*T2^6 + 64*T1^10*T2^6 + 
      149*T1^11*T2^6 - 17*T1^12*T2^6 - 50*T1^13*T2^6 + 10*T1^14*T2^6 + 
      25*T2^7 + 75*T1*T2^7 - 384*T1^2*T2^7 + 163*T1^3*T2^7 + 290*T1^4*T2^7 - 
      366*T1^5*T2^7 - 84*T1^6*T2^7 - 689*T1^7*T2^7 + 655*T1^8*T2^7 - 
      40*T1^9*T2^7 + 4*T1^10*T2^7 + 97*T1^11*T2^7 - 249*T1^12*T2^7 + 
      156*T1^13*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 148*T1^2*T2^8 + 
      262*T1^3*T2^8 - 522*T1^4*T2^8 + 271*T1^5*T2^8 - 2*T1^6*T2^8 + 
      655*T1^7*T2^8 - 252*T1^8*T2^8 - 547*T1^9*T2^8 + 262*T1^10*T2^8 - 
      383*T1^11*T2^8 + 326*T1^12*T2^8 - 46*T1^13*T2^8 - 122*T1^14*T2^8 + 
      35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 50*T1^2*T2^9 - 
      304*T1^3*T2^9 + 191*T1^4*T2^9 + 163*T1^5*T2^9 - 196*T1^6*T2^9 - 
      40*T1^7*T2^9 - 547*T1^8*T2^9 + 797*T1^9*T2^9 + 4*T1^10*T2^9 + 
      174*T1^11*T2^9 - 30*T1^12*T2^9 - 221*T1^13*T2^9 + 236*T1^14*T2^9 - 
      25*T1^15*T2^9 - 15*T1^16*T2^9 - 30*T1^2*T2^10 + 30*T1^3*T2^10 + 
      183*T1^4*T2^10 - 283*T1^5*T2^10 + 64*T1^6*T2^10 + 4*T1^7*T2^10 + 
      262*T1^8*T2^10 + 4*T1^9*T2^10 - 658*T1^10*T2^10 + 144*T1^11*T2^10 - 
      176*T1^12*T2^10 + 297*T1^13*T2^10 - 197*T1^14*T2^10 - 30*T1^15*T2^10 + 
      30*T1^16*T2^10 + 24*T1^3*T2^11 - 65*T1^4*T2^11 - 29*T1^5*T2^11 + 
      149*T1^6*T2^11 + 97*T1^7*T2^11 - 383*T1^8*T2^11 + 174*T1^9*T2^11 + 
      144*T1^10*T2^11 + 397*T1^11*T2^11 - 218*T1^12*T2^11 - 61*T1^13*T2^11 + 
      76*T1^14*T2^11 + 70*T1^15*T2^11 - 36*T1^16*T2^11 - 11*T1^4*T2^12 + 
      55*T1^5*T2^12 - 17*T1^6*T2^12 - 249*T1^7*T2^12 + 326*T1^8*T2^12 - 
      30*T1^9*T2^12 - 176*T1^10*T2^12 - 218*T1^11*T2^12 - 74*T1^12*T2^12 + 
      303*T1^13*T2^12 - 177*T1^14*T2^12 - 45*T1^15*T2^12 + 33*T1^16*T2^12 - 
      50*T1^6*T2^13 + 156*T1^7*T2^13 - 46*T1^8*T2^13 - 221*T1^9*T2^13 + 
      297*T1^10*T2^13 - 61*T1^11*T2^13 + 303*T1^12*T2^13 - 328*T1^13*T2^13 + 
      96*T1^14*T2^13 + 80*T1^15*T2^13 - 36*T1^16*T2^13 + 10*T1^6*T2^14 - 
      122*T1^8*T2^14 + 236*T1^9*T2^14 - 197*T1^10*T2^14 + 76*T1^11*T2^14 - 
      177*T1^12*T2^14 + 96*T1^13*T2^14 + 58*T1^14*T2^14 - 100*T1^15*T2^14 + 
      30*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 25*T1^9*T2^15 - 
      30*T1^10*T2^15 + 70*T1^11*T2^15 - 45*T1^12*T2^15 + 80*T1^13*T2^15 - 
      100*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 30*T1^10*T2^16 - 36*T1^11*T2^16 + 33*T1^12*T2^16 - 
      36*T1^13*T2^16 + 30*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 302] -> 
  {(1 - 9*T + 27*T^2 - 37*T^3 + 27*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 108*T1^2 + 148*T1^3 - 108*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     297*T1*T2 + 729*T1^2*T2 - 603*T1^3*T2 - 27*T1^4*T2 + 405*T1^5*T2 - 
     207*T1^6*T2 + 27*T1^7*T2 - 108*T2^2 + 729*T1*T2^2 - 812*T1^2*T2^2 - 
     1952*T1^3*T2^2 + 4428*T1^4*T2^2 - 3464*T1^5*T2^2 + 592*T1^6*T2^2 + 
     243*T1^7*T2^2 - 54*T1^8*T2^2 + 148*T2^3 - 603*T1*T2^3 - 1952*T1^2*T2^3 + 
     9442*T1^3*T2^3 - 9924*T1^4*T2^3 + 1632*T1^5*T2^3 + 4912*T1^6*T2^3 - 
     2519*T1^7*T2^3 + 153*T1^8*T2^3 + 37*T1^9*T2^3 - 108*T2^4 - 27*T1*T2^4 + 
     4428*T1^2*T2^4 - 9924*T1^3*T2^4 - 1277*T1^4*T2^4 + 17031*T1^5*T2^4 - 
     17117*T1^6*T2^4 + 3396*T1^7*T2^4 + 1350*T1^8*T2^4 - 333*T1^9*T2^4 + 
     36*T2^5 + 405*T1*T2^5 - 3464*T1^2*T2^5 + 1632*T1^3*T2^5 + 
     17031*T1^4*T2^5 - 26427*T1^5*T2^5 + 11715*T1^6*T2^5 + 7554*T1^7*T2^5 - 
     6396*T1^8*T2^5 + 883*T1^9*T2^5 + 81*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     207*T1*T2^6 + 592*T1^2*T2^6 + 4912*T1^3*T2^6 - 17117*T1^4*T2^6 + 
     11715*T1^5*T2^6 + 10140*T1^6*T2^6 - 20739*T1^7*T2^6 + 8965*T1^8*T2^6 + 
     316*T1^9*T2^6 - 704*T1^10*T2^6 + 63*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 243*T1^2*T2^7 - 2519*T1^3*T2^7 + 3396*T1^4*T2^7 + 
     7554*T1^5*T2^7 - 20739*T1^6*T2^7 + 17403*T1^7*T2^7 - 1923*T1^8*T2^7 - 
     4632*T1^9*T2^7 + 1828*T1^10*T2^7 - 81*T1^11*T2^7 - 18*T1^12*T2^7 - 
     54*T1^2*T2^8 + 153*T1^3*T2^8 + 1350*T1^4*T2^8 - 6396*T1^5*T2^8 + 
     8965*T1^6*T2^8 - 1923*T1^7*T2^8 - 6875*T1^8*T2^8 + 6924*T1^9*T2^8 - 
     1728*T1^10*T2^8 - 153*T1^11*T2^8 + 54*T1^12*T2^8 + 37*T1^3*T2^9 - 
     333*T1^4*T2^9 + 883*T1^5*T2^9 + 316*T1^6*T2^9 - 4632*T1^7*T2^9 + 
     6924*T1^8*T2^9 - 4214*T1^9*T2^9 + 316*T1^10*T2^9 + 423*T1^11*T2^9 - 
     74*T1^12*T2^9 + 81*T1^5*T2^10 - 704*T1^6*T2^10 + 1828*T1^7*T2^10 - 
     1728*T1^8*T2^10 + 316*T1^9*T2^10 + 700*T1^10*T2^10 - 405*T1^11*T2^10 + 
     54*T1^12*T2^10 - 9*T1^5*T2^11 + 63*T1^6*T2^11 - 81*T1^7*T2^11 - 
     153*T1^8*T2^11 + 423*T1^9*T2^11 - 405*T1^10*T2^11 + 153*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 54*T1^8*T2^12 - 
     74*T1^9*T2^12 + 54*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 303] -> 
  {-((1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 45*T1^2 + 55*T1^3 - 45*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      107*T1*T2 + 126*T1^2*T2 - 97*T1^3*T2 + 3*T1^4*T2 + 56*T1^5*T2 - 
      77*T1^6*T2 + 20*T1^7*T2 - 45*T2^2 + 126*T1*T2^2 + 85*T1^2*T2^2 - 
      295*T1^3*T2^2 + 493*T1^4*T2^2 - 403*T1^5*T2^2 + 229*T1^6*T2^2 + 
      36*T1^7*T2^2 - 27*T1^8*T2^2 + 55*T2^3 - 97*T1*T2^3 - 295*T1^2*T2^3 + 
      386*T1^3*T2^3 - 406*T1^4*T2^3 + 32*T1^5*T2^3 + 152*T1^6*T2^3 - 
      322*T1^7*T2^3 + 23*T1^8*T2^3 + 22*T1^9*T2^3 - 45*T2^4 + 3*T1*T2^4 + 
      493*T1^2*T2^4 - 406*T1^3*T2^4 + 355*T1^4*T2^4 + 53*T1^5*T2^4 - 
      17*T1^6*T2^4 + 78*T1^7*T2^4 + 267*T1^8*T2^4 - 67*T1^9*T2^4 - 
      9*T1^10*T2^4 + 25*T2^5 + 56*T1*T2^5 - 403*T1^2*T2^5 + 32*T1^3*T2^5 + 
      53*T1^4*T2^5 - 285*T1^5*T2^5 - 45*T1^6*T2^5 + 62*T1^7*T2^5 - 
      314*T1^8*T2^5 - 52*T1^9*T2^5 + 46*T1^10*T2^5 - 5*T2^6 - 77*T1*T2^6 + 
      229*T1^2*T2^6 + 152*T1^3*T2^6 - 17*T1^4*T2^6 - 45*T1^5*T2^6 + 
      408*T1^6*T2^6 - 247*T1^7*T2^6 + 233*T1^8*T2^6 + 176*T1^9*T2^6 - 
      55*T1^10*T2^6 - 7*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 36*T1^2*T2^7 - 
      322*T1^3*T2^7 + 78*T1^4*T2^7 + 62*T1^5*T2^7 - 247*T1^6*T2^7 - 
      7*T1^7*T2^7 + 71*T1^8*T2^7 - 268*T1^9*T2^7 + 29*T1^10*T2^7 + 
      26*T1^11*T2^7 - 5*T1^12*T2^7 - 27*T1^2*T2^8 + 23*T1^3*T2^8 + 
      267*T1^4*T2^8 - 314*T1^5*T2^8 + 233*T1^6*T2^8 + 71*T1^7*T2^8 - 
      139*T1^8*T2^8 + 170*T1^9*T2^8 + 41*T1^10*T2^8 - 47*T1^11*T2^8 + 
      9*T1^12*T2^8 + 22*T1^3*T2^9 - 67*T1^4*T2^9 - 52*T1^5*T2^9 + 
      176*T1^6*T2^9 - 268*T1^7*T2^9 + 170*T1^8*T2^9 - 58*T1^9*T2^9 - 
      79*T1^10*T2^9 + 53*T1^11*T2^9 - 11*T1^12*T2^9 - 9*T1^4*T2^10 + 
      46*T1^5*T2^10 - 55*T1^6*T2^10 + 29*T1^7*T2^10 + 41*T1^8*T2^10 - 
      79*T1^9*T2^10 + 89*T1^10*T2^10 - 44*T1^11*T2^10 + 9*T1^12*T2^10 - 
      7*T1^6*T2^11 + 26*T1^7*T2^11 - 47*T1^8*T2^11 + 53*T1^9*T2^11 - 
      44*T1^10*T2^11 + 23*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 9*T1^8*T2^12 - 11*T1^9*T2^12 + 9*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 304] -> 
  {(3 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 3*T^6)/T^3, 
   (-51 + 153*T1 - 257*T1^2 + 293*T1^3 - 257*T1^4 + 153*T1^5 - 51*T1^6 + 
     153*T2 - 389*T1*T2 + 556*T1^2*T2 - 513*T1^3*T2 + 351*T1^4*T2 - 
     92*T1^5*T2 - 65*T1^6*T2 + 72*T1^7*T2 - 257*T2^2 + 556*T1*T2^2 - 
     636*T1^2*T2^2 + 384*T1^3*T2^2 - 62*T1^4*T2^2 - 336*T1^5*T2^2 + 
     444*T1^6*T2^2 - 254*T1^7*T2^2 + 13*T1^8*T2^2 + 293*T2^3 - 513*T1*T2^3 + 
     384*T1^2*T2^3 - 18*T1^3*T2^3 - 214*T1^4*T2^3 + 434*T1^5*T2^3 - 
     198*T1^6*T2^3 - 291*T1^7*T2^3 + 459*T1^8*T2^3 - 166*T1^9*T2^3 - 
     257*T2^4 + 351*T1*T2^4 - 62*T1^2*T2^4 - 214*T1^3*T2^4 + 277*T1^4*T2^4 - 
     349*T1^5*T2^4 - 11*T1^6*T2^4 + 398*T1^7*T2^4 - 116*T1^8*T2^4 - 
     351*T1^9*T2^4 + 283*T1^10*T2^4 + 153*T2^5 - 92*T1*T2^5 - 336*T1^2*T2^5 + 
     434*T1^3*T2^5 - 349*T1^4*T2^5 + 183*T1^5*T2^5 + 243*T1^6*T2^5 - 
     394*T1^7*T2^5 - 286*T1^8*T2^5 + 519*T1^9*T2^5 - 92*T1^10*T2^5 - 
     252*T1^11*T2^5 - 51*T2^6 - 65*T1*T2^6 + 444*T1^2*T2^6 - 198*T1^3*T2^6 - 
     11*T1^4*T2^6 + 243*T1^5*T2^6 - 288*T1^6*T2^6 + 45*T1^7*T2^6 + 
     691*T1^8*T2^6 - 306*T1^9*T2^6 - 312*T1^10*T2^6 + 421*T1^11*T2^6 + 
     111*T1^12*T2^6 + 72*T1*T2^7 - 254*T1^2*T2^7 - 291*T1^3*T2^7 + 
     398*T1^4*T2^7 - 394*T1^5*T2^7 + 45*T1^6*T2^7 + 105*T1^7*T2^7 - 
     439*T1^8*T2^7 - 322*T1^9*T2^7 + 564*T1^10*T2^7 - 254*T1^11*T2^7 - 
     333*T1^12*T2^7 + 13*T1^2*T2^8 + 459*T1^3*T2^8 - 116*T1^4*T2^8 - 
     286*T1^5*T2^8 + 691*T1^6*T2^8 - 439*T1^7*T2^8 + 403*T1^8*T2^8 + 
     326*T1^9*T2^8 - 170*T1^10*T2^8 - 243*T1^11*T2^8 + 553*T1^12*T2^8 - 
     166*T1^3*T2^9 - 351*T1^4*T2^9 + 519*T1^5*T2^9 - 306*T1^6*T2^9 - 
     322*T1^7*T2^9 + 326*T1^8*T2^9 - 486*T1^9*T2^9 - 156*T1^10*T2^9 + 
     621*T1^11*T2^9 - 625*T1^12*T2^9 + 283*T1^4*T2^10 - 92*T1^5*T2^10 - 
     312*T1^6*T2^10 + 564*T1^7*T2^10 - 170*T1^8*T2^10 - 156*T1^9*T2^10 + 
     768*T1^10*T2^10 - 902*T1^11*T2^10 + 553*T1^12*T2^10 - 252*T1^5*T2^11 + 
     421*T1^6*T2^11 - 254*T1^7*T2^11 - 243*T1^8*T2^11 + 621*T1^9*T2^11 - 
     902*T1^10*T2^11 + 745*T1^11*T2^11 - 333*T1^12*T2^11 + 111*T1^6*T2^12 - 
     333*T1^7*T2^12 + 553*T1^8*T2^12 - 625*T1^9*T2^12 + 553*T1^10*T2^12 - 
     333*T1^11*T2^12 + 111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 305] -> 
  {(2 - 4*T + 4*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + 4*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 128*T1^2 - 95*T1^3 + 95*T1^4 - 95*T1^5 + 128*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 31*T1^2*T2 - 33*T1^3*T2 - 
      24*T1^4*T2 + 24*T1^5*T2 - 89*T1^6*T2 + 33*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 128*T2^2 - 31*T1*T2^2 - 102*T1^2*T2^2 + 74*T1^3*T2^2 + 
      37*T1^4*T2^2 + 10*T1^5*T2^2 + 53*T1^6*T2^2 + 58*T1^7*T2^2 - 
      134*T1^8*T2^2 + 33*T1^9*T2^2 + 96*T1^10*T2^2 - 95*T2^3 - 33*T1*T2^3 + 
      74*T1^2*T2^3 + 10*T1^3*T2^3 - 69*T1^4*T2^3 - 21*T1^5*T2^3 - 
      51*T1^6*T2^3 - 55*T1^7*T2^3 + 48*T1^8*T2^3 + 50*T1^9*T2^3 - 
      73*T1^10*T2^3 - 59*T1^11*T2^3 + 95*T2^4 - 24*T1*T2^4 + 37*T1^2*T2^4 - 
      69*T1^3*T2^4 + 80*T1^4*T2^4 - 23*T1^5*T2^4 + 114*T1^6*T2^4 - 
      23*T1^7*T2^4 + 32*T1^8*T2^4 - 45*T1^9*T2^4 + 37*T1^10*T2^4 + 
      24*T1^11*T2^4 + 47*T1^12*T2^4 - 95*T2^5 + 24*T1*T2^5 + 10*T1^2*T2^5 - 
      21*T1^3*T2^5 - 23*T1^4*T2^5 + 6*T1^5*T2^5 - 78*T1^6*T2^5 - 
      18*T1^7*T2^5 + 24*T1^8*T2^5 - 17*T1^9*T2^5 - 39*T1^10*T2^5 + 
      10*T1^11*T2^5 - 24*T1^12*T2^5 - 35*T1^13*T2^5 + 128*T2^6 - 89*T1*T2^6 + 
      53*T1^2*T2^6 - 51*T1^3*T2^6 + 114*T1^4*T2^6 - 78*T1^5*T2^6 + 
      120*T1^6*T2^6 - 24*T1^7*T2^6 - 6*T1^9*T2^6 + 66*T1^10*T2^6 - 
      3*T1^11*T2^6 + 5*T1^12*T2^6 + 7*T1^13*T2^6 + 32*T1^14*T2^6 - 129*T2^7 + 
      33*T1*T2^7 + 58*T1^2*T2^7 - 55*T1^3*T2^7 - 23*T1^4*T2^7 - 
      18*T1^5*T2^7 - 24*T1^6*T2^7 - 51*T1^7*T2^7 + 55*T1^8*T2^7 - 
      11*T1^9*T2^7 - 54*T1^10*T2^7 - 5*T1^11*T2^7 - 29*T1^12*T2^7 + 
      34*T1^13*T2^7 - 31*T1^14*T2^7 - 17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 
      134*T1^2*T2^8 + 48*T1^3*T2^8 + 32*T1^4*T2^8 + 24*T1^5*T2^8 + 
      55*T1^7*T2^8 - 12*T1^8*T2^8 - 55*T1^9*T2^8 + 78*T1^10*T2^8 - 
      12*T1^11*T2^8 + 40*T1^12*T2^8 - 20*T1^13*T2^8 - 6*T1^14*T2^8 + 
      32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 + 33*T1^2*T2^9 + 
      50*T1^3*T2^9 - 45*T1^4*T2^9 - 17*T1^5*T2^9 - 6*T1^6*T2^9 - 
      11*T1^7*T2^9 - 55*T1^8*T2^9 + 51*T1^9*T2^9 + 2*T1^10*T2^9 - 
      42*T1^11*T2^9 + T1^12*T2^9 - 19*T1^13*T2^9 + 26*T1^14*T2^9 - 
      31*T1^15*T2^9 - T1^16*T2^9 + 96*T1^2*T2^10 - 73*T1^3*T2^10 + 
      37*T1^4*T2^10 - 39*T1^5*T2^10 + 66*T1^6*T2^10 - 54*T1^7*T2^10 + 
      78*T1^8*T2^10 + 2*T1^9*T2^10 - 42*T1^10*T2^10 + 18*T1^11*T2^10 + 
      18*T1^12*T2^10 + 9*T1^13*T2^10 - 11*T1^14*T2^10 + 23*T1^15*T2^10 - 
      59*T1^3*T2^11 + 24*T1^4*T2^11 + 10*T1^5*T2^11 - 3*T1^6*T2^11 - 
      5*T1^7*T2^11 - 12*T1^8*T2^11 - 42*T1^9*T2^11 + 18*T1^10*T2^11 + 
      6*T1^11*T2^11 + T1^12*T2^11 - 21*T1^13*T2^11 + 10*T1^14*T2^11 - 
      24*T1^15*T2^11 + T1^16*T2^11 + 47*T1^4*T2^12 - 24*T1^5*T2^12 + 
      5*T1^6*T2^12 - 29*T1^7*T2^12 + 40*T1^8*T2^12 + T1^9*T2^12 + 
      18*T1^10*T2^12 + T1^11*T2^12 - 8*T1^12*T2^12 - 5*T1^13*T2^12 + 
      5*T1^14*T2^12 + 24*T1^15*T2^12 - T1^16*T2^12 - 35*T1^5*T2^13 + 
      7*T1^6*T2^13 + 34*T1^7*T2^13 - 20*T1^8*T2^13 - 19*T1^9*T2^13 + 
      9*T1^10*T2^13 - 21*T1^11*T2^13 - 5*T1^12*T2^13 + 18*T1^13*T2^13 + 
      10*T1^14*T2^13 - 33*T1^15*T2^13 + T1^16*T2^13 + 32*T1^6*T2^14 - 
      31*T1^7*T2^14 - 6*T1^8*T2^14 + 26*T1^9*T2^14 - 11*T1^10*T2^14 + 
      10*T1^11*T2^14 + 5*T1^12*T2^14 + 10*T1^13*T2^14 - 38*T1^14*T2^14 + 
      33*T1^15*T2^14 - 17*T1^7*T2^15 + 32*T1^8*T2^15 - 31*T1^9*T2^15 + 
      23*T1^10*T2^15 - 24*T1^11*T2^15 + 24*T1^12*T2^15 - 33*T1^13*T2^15 + 
      33*T1^14*T2^15 - 16*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - 
      T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + T1^13*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 306] -> 
  {-(((1 - 3*T + T^2)*(2 - 3*T + 2*T^2))/T^2), 
   -((-25 + 113*T1 - 163*T1^2 + 113*T1^3 - 25*T1^4 + 113*T2 - 440*T1*T2 + 
      384*T1^2*T2 - 12*T1^3*T2 - 242*T1^4*T2 + 77*T1^5*T2 - 163*T2^2 + 
      384*T1*T2^2 + 554*T1^2*T2^2 - 1356*T1^3*T2^2 + 1126*T1^4*T2^2 - 
      84*T1^5*T2^2 - 59*T1^6*T2^2 + 113*T2^3 - 12*T1*T2^3 - 1356*T1^2*T2^3 + 
      1531*T1^3*T2^3 - 449*T1^4*T2^3 - 771*T1^5*T2^3 + 240*T1^6*T2^3 + 
      5*T1^7*T2^3 - 25*T2^4 - 242*T1*T2^4 + 1126*T1^2*T2^4 - 449*T1^3*T2^4 - 
      708*T1^4*T2^4 + 1189*T1^5*T2^4 - 124*T1^6*T2^4 - 62*T1^7*T2^4 + 
      7*T1^8*T2^4 + 77*T1*T2^5 - 84*T1^2*T2^5 - 771*T1^3*T2^5 + 
      1189*T1^4*T2^5 - 791*T1^5*T2^5 - 186*T1^6*T2^5 + 168*T1^7*T2^5 - 
      31*T1^8*T2^5 - 59*T1^2*T2^6 + 240*T1^3*T2^6 - 124*T1^4*T2^6 - 
      186*T1^5*T2^6 + 448*T1^6*T2^6 - 228*T1^7*T2^6 + 45*T1^8*T2^6 + 
      5*T1^3*T2^7 - 62*T1^4*T2^7 + 168*T1^5*T2^7 - 228*T1^6*T2^7 + 
      136*T1^7*T2^7 - 31*T1^8*T2^7 + 7*T1^4*T2^8 - 31*T1^5*T2^8 + 
      45*T1^6*T2^8 - 31*T1^7*T2^8 + 7*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 307] -> {((2 - 3*T + 2*T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (-381 + 1203*T1 - 1703*T1^2 + 1203*T1^3 - 381*T1^4 + 1203*T2 - 
     3298*T1*T2 + 3758*T1^2*T2 - 1486*T1^3*T2 - 448*T1^4*T2 + 519*T1^5*T2 - 
     1703*T2^2 + 3758*T1*T2^2 - 2010*T1^2*T2^2 - 3036*T1^3*T2^2 + 
     4794*T1^4*T2^2 - 2398*T1^5*T2^2 + 241*T1^6*T2^2 + 1203*T2^3 - 
     1486*T1*T2^3 - 3036*T1^2*T2^3 + 8339*T1^3*T2^3 - 6709*T1^4*T2^3 + 
     555*T1^5*T2^3 + 1934*T1^6*T2^3 - 849*T1^7*T2^3 - 381*T2^4 - 
     448*T1*T2^4 + 4794*T1^2*T2^4 - 6709*T1^3*T2^4 + 1284*T1^4*T2^4 + 
     5717*T1^5*T2^4 - 5036*T1^6*T2^4 + 1148*T1^7*T2^4 + 483*T1^8*T2^4 + 
     519*T1*T2^5 - 2398*T1^2*T2^5 + 555*T1^3*T2^5 + 5717*T1^4*T2^5 - 
     9331*T1^5*T2^5 + 4146*T1^6*T2^5 + 1022*T1^7*T2^5 - 1533*T1^8*T2^5 + 
     241*T1^2*T2^6 + 1934*T1^3*T2^6 - 5036*T1^4*T2^6 + 4146*T1^5*T2^6 + 
     1768*T1^6*T2^6 - 4222*T1^7*T2^6 + 2185*T1^8*T2^6 - 849*T1^3*T2^7 + 
     1148*T1^4*T2^7 + 1022*T1^5*T2^7 - 4222*T1^6*T2^7 + 3998*T1^7*T2^7 - 
     1533*T1^8*T2^7 + 483*T1^4*T2^8 - 1533*T1^5*T2^8 + 2185*T1^6*T2^8 - 
     1533*T1^7*T2^8 + 483*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 308] -> 
  {((2 - 3*T + 2*T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   -((400 - 988*T1 + 1172*T1^2 - 1064*T1^3 + 1172*T1^4 - 988*T1^5 + 
      400*T1^6 - 988*T2 + 1622*T1*T2 - 868*T1^2*T2 + 220*T1^3*T2 - 
      700*T1^4*T2 + 12*T1^5*T2 + 1062*T1^6*T2 - 828*T1^7*T2 + 1172*T2^2 - 
      868*T1*T2^2 - 853*T1^2*T2^2 + 1029*T1^3*T2^2 + 149*T1^4*T2^2 + 
      1125*T1^5*T2^2 - 1621*T1^6*T2^2 + 92*T1^7*T2^2 + 788*T1^8*T2^2 - 
      1064*T2^3 + 220*T1*T2^3 + 1029*T1^2*T2^3 - 180*T1^3*T2^3 - 
      934*T1^4*T2^3 - 790*T1^5*T2^3 + 480*T1^6*T2^3 + 933*T1^7*T2^3 - 
      620*T1^8*T2^3 - 536*T1^9*T2^3 + 1172*T2^4 - 700*T1*T2^4 + 
      149*T1^2*T2^4 - 934*T1^3*T2^4 + 1426*T1^4*T2^4 + 272*T1^5*T2^4 + 
      110*T1^6*T2^4 - 582*T1^7*T2^4 + 45*T1^8*T2^4 + 340*T1^9*T2^4 + 
      404*T1^10*T2^4 - 988*T2^5 + 12*T1*T2^5 + 1125*T1^2*T2^5 - 
      790*T1^3*T2^5 + 272*T1^4*T2^5 - 1416*T1^5*T2^5 + 668*T1^6*T2^5 + 
      176*T1^7*T2^5 - 518*T1^8*T2^5 + 453*T1^9*T2^5 - 548*T1^10*T2^5 - 
      188*T1^11*T2^5 + 400*T2^6 + 1062*T1*T2^6 - 1621*T1^2*T2^6 + 
      480*T1^3*T2^6 + 110*T1^4*T2^6 + 668*T1^5*T2^6 + 540*T1^6*T2^6 - 
      1284*T1^7*T2^6 + 1054*T1^8*T2^6 - 384*T1^9*T2^6 + 75*T1^10*T2^6 + 
      422*T1^11*T2^6 + 16*T1^12*T2^6 - 828*T1*T2^7 + 92*T1^2*T2^7 + 
      933*T1^3*T2^7 - 582*T1^4*T2^7 + 176*T1^5*T2^7 - 1284*T1^6*T2^7 + 
      800*T1^7*T2^7 + 80*T1^8*T2^7 - 310*T1^9*T2^7 + 261*T1^10*T2^7 - 
      468*T1^11*T2^7 - 28*T1^12*T2^7 + 788*T1^2*T2^8 - 620*T1^3*T2^8 + 
      45*T1^4*T2^8 - 518*T1^5*T2^8 + 1054*T1^6*T2^8 + 80*T1^7*T2^8 - 
      262*T1^8*T2^8 - 166*T1^9*T2^8 - 59*T1^10*T2^8 + 420*T1^11*T2^8 + 
      20*T1^12*T2^8 - 536*T1^3*T2^9 + 340*T1^4*T2^9 + 453*T1^5*T2^9 - 
      384*T1^6*T2^9 - 310*T1^7*T2^9 - 166*T1^8*T2^9 + 276*T1^9*T2^9 + 
      357*T1^10*T2^9 - 500*T1^11*T2^9 - 8*T1^12*T2^9 + 404*T1^4*T2^10 - 
      548*T1^5*T2^10 + 75*T1^6*T2^10 + 261*T1^7*T2^10 - 59*T1^8*T2^10 + 
      357*T1^9*T2^10 - 693*T1^10*T2^10 + 412*T1^11*T2^10 + 20*T1^12*T2^10 - 
      188*T1^5*T2^11 + 422*T1^6*T2^11 - 468*T1^7*T2^11 + 420*T1^8*T2^11 - 
      500*T1^9*T2^11 + 412*T1^10*T2^11 - 138*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 20*T1^8*T2^12 - 8*T1^9*T2^12 + 
      20*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 309] -> 
  {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-2 + 2*T1 + 2*T1^2 - 6*T1^3 + 2*T1^4 + 2*T1^5 - 2*T1^6 + 2*T2 - 3*T1*T2 + 
     3*T1^3*T2 - T1^4*T2 - T1^6*T2 + T1^7*T2 + 2*T2^2 - 2*T1^2*T2^2 + 
     6*T1^3*T2^2 - 2*T1^5*T2^2 + 2*T1^6*T2^2 + 2*T1^7*T2^2 - 6*T2^3 + 
     3*T1*T2^3 + 6*T1^2*T2^3 - 20*T1^3*T2^3 + 2*T1^4*T2^3 + 6*T1^5*T2^3 - 
     2*T1^6*T2^3 - 5*T1^7*T2^3 - 5*T1^8*T2^3 + 3*T1^9*T2^3 + 2*T2^4 - 
     T1*T2^4 + 2*T1^3*T2^4 + 7*T1^4*T2^4 + T1^5*T2^4 - 9*T1^6*T2^4 + 
     2*T1^7*T2^4 + 10*T1^8*T2^4 - 3*T1^9*T2^4 - 2*T1^10*T2^4 + 2*T2^5 - 
     2*T1^2*T2^5 + 6*T1^3*T2^5 + T1^4*T2^5 - T1^5*T2^5 - 3*T1^6*T2^5 + 
     12*T1^7*T2^5 - 6*T1^8*T2^5 - 3*T1^9*T2^5 + 8*T1^10*T2^5 - 3*T1^11*T2^5 - 
     2*T2^6 - T1*T2^6 + 2*T1^2*T2^6 - 2*T1^3*T2^6 - 9*T1^4*T2^6 - 
     3*T1^5*T2^6 + 12*T1^6*T2^6 - 9*T1^7*T2^6 - 7*T1^8*T2^6 + 10*T1^9*T2^6 - 
     6*T1^10*T2^6 - 3*T1^11*T2^6 + 4*T1^12*T2^6 + T1*T2^7 + 2*T1^2*T2^7 - 
     5*T1^3*T2^7 + 2*T1^4*T2^7 + 12*T1^5*T2^7 - 9*T1^6*T2^7 - 11*T1^7*T2^7 + 
     23*T1^8*T2^7 - 10*T1^9*T2^7 - 6*T1^10*T2^7 + 10*T1^11*T2^7 - 
     4*T1^12*T2^7 - 5*T1^3*T2^8 + 10*T1^4*T2^8 - 6*T1^5*T2^8 - 7*T1^6*T2^8 + 
     23*T1^7*T2^8 - 23*T1^8*T2^8 - 6*T1^9*T2^8 + 20*T1^10*T2^8 - 
     7*T1^11*T2^8 - 4*T1^12*T2^8 + 3*T1^3*T2^9 - 3*T1^4*T2^9 - 3*T1^5*T2^9 + 
     10*T1^6*T2^9 - 10*T1^7*T2^9 - 6*T1^8*T2^9 + 28*T1^9*T2^9 - 
     14*T1^10*T2^9 - 11*T1^11*T2^9 + 12*T1^12*T2^9 - 2*T1^4*T2^10 + 
     8*T1^5*T2^10 - 6*T1^6*T2^10 - 6*T1^7*T2^10 + 20*T1^8*T2^10 - 
     14*T1^9*T2^10 - 2*T1^10*T2^10 + 10*T1^11*T2^10 - 4*T1^12*T2^10 - 
     3*T1^5*T2^11 - 3*T1^6*T2^11 + 10*T1^7*T2^11 - 7*T1^8*T2^11 - 
     11*T1^9*T2^11 + 10*T1^10*T2^11 - T1^11*T2^11 - 4*T1^12*T2^11 + 
     4*T1^6*T2^12 - 4*T1^7*T2^12 - 4*T1^8*T2^12 + 12*T1^9*T2^12 - 
     4*T1^10*T2^12 - 4*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 310] -> 
  {((1 - T + T^2)*(2 - 3*T + 2*T^2))/T^2, 
   (-15 + 39*T1 - 55*T1^2 + 39*T1^3 - 15*T1^4 + 39*T2 - 78*T1*T2 + 
     90*T1^2*T2 - 30*T1^3*T2 - 8*T1^4*T2 + 19*T1^5*T2 - 55*T2^2 + 
     90*T1*T2^2 - 141*T1^2*T2^2 + 65*T1^3*T2^2 - T1^4*T2^2 - 50*T1^5*T2^2 + 
     T1^6*T2^2 + 39*T2^3 - 30*T1*T2^3 + 65*T1^2*T2^3 + 81*T1^3*T2^3 - 
     129*T1^4*T2^3 + 100*T1^5*T2^3 + 50*T1^6*T2^3 - 21*T1^7*T2^3 - 15*T2^4 - 
     8*T1*T2^4 - T1^2*T2^4 - 129*T1^3*T2^4 + 72*T1^4*T2^4 + 41*T1^5*T2^4 - 
     139*T1^6*T2^4 + 12*T1^7*T2^4 + 17*T1^8*T2^4 + 19*T1*T2^5 - 
     50*T1^2*T2^5 + 100*T1^3*T2^5 + 41*T1^4*T2^5 - 169*T1^5*T2^5 + 
     135*T1^6*T2^5 + 30*T1^7*T2^5 - 41*T1^8*T2^5 + T1^2*T2^6 + 50*T1^3*T2^6 - 
     139*T1^4*T2^6 + 135*T1^5*T2^6 + T1^6*T2^6 - 90*T1^7*T2^6 + 
     57*T1^8*T2^6 - 21*T1^3*T2^7 + 12*T1^4*T2^7 + 30*T1^5*T2^7 - 
     90*T1^6*T2^7 + 82*T1^7*T2^7 - 41*T1^8*T2^7 + 17*T1^4*T2^8 - 
     41*T1^5*T2^8 + 57*T1^6*T2^8 - 41*T1^7*T2^8 + 17*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 311] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-30 + 135*T1 - 200*T1^2 + 135*T1^3 - 30*T1^4 + 135*T2 - 591*T1*T2 + 
      797*T1^2*T2 - 451*T1^3*T2 + 33*T1^4*T2 + 18*T1^5*T2 - 200*T2^2 + 
      797*T1*T2^2 - 583*T1^2*T2^2 - 599*T1^3*T2^2 + 1241*T1^4*T2^2 - 
      685*T1^5*T2^2 + 142*T1^6*T2^2 + 135*T2^3 - 451*T1*T2^3 - 
      599*T1^2*T2^3 + 2850*T1^3*T2^3 - 3182*T1^4*T2^3 + 1130*T1^5*T2^3 + 
      329*T1^6*T2^3 - 216*T1^7*T2^3 - 30*T2^4 + 33*T1*T2^4 + 1241*T1^2*T2^4 - 
      3182*T1^3*T2^4 + 1668*T1^4*T2^4 + 1758*T1^5*T2^4 - 2469*T1^6*T2^4 + 
      579*T1^7*T2^4 + 78*T1^8*T2^4 + 18*T1*T2^5 - 685*T1^2*T2^5 + 
      1130*T1^3*T2^5 + 1758*T1^4*T2^5 - 4274*T1^5*T2^5 + 2859*T1^6*T2^5 + 
      95*T1^7*T2^5 - 333*T1^8*T2^5 + 142*T1^2*T2^6 + 329*T1^3*T2^6 - 
      2469*T1^4*T2^6 + 2859*T1^5*T2^6 - 645*T1^6*T2^6 - 1153*T1^7*T2^6 + 
      484*T1^8*T2^6 - 216*T1^3*T2^7 + 579*T1^4*T2^7 + 95*T1^5*T2^7 - 
      1153*T1^6*T2^7 + 1203*T1^7*T2^7 - 333*T1^8*T2^7 + 78*T1^4*T2^8 - 
      333*T1^5*T2^8 + 484*T1^6*T2^8 - 333*T1^7*T2^8 + 78*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 312] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 115*T1^3*T2 + 15*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 131*T1^2*T2^2 + 
      30*T1^3*T2^2 + 227*T1^4*T2^2 - 190*T1^5*T2^2 + 89*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 115*T1*T2^3 + 30*T1^2*T2^3 + 
      160*T1^3*T2^3 - 510*T1^4*T2^3 + 200*T1^5*T2^3 - 135*T1^7*T2^3 + 
      55*T1^8*T2^3 - 33*T2^4 + 15*T1*T2^4 + 227*T1^2*T2^4 - 510*T1^3*T2^4 + 
      866*T1^4*T2^4 - 110*T1^5*T2^4 - 194*T1^6*T2^4 + 330*T1^7*T2^4 - 
      39*T1^8*T2^4 - 55*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 35*T1*T2^5 - 
      190*T1^2*T2^5 + 200*T1^3*T2^5 - 110*T1^4*T2^5 - 975*T1^5*T2^5 + 
      825*T1^6*T2^5 - 385*T1^7*T2^5 - 250*T1^8*T2^5 + 195*T1^9*T2^5 - 
      5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 89*T1^2*T2^6 - 
      194*T1^4*T2^6 + 825*T1^5*T2^6 - 48*T1^6*T2^6 - 625*T1^7*T2^6 + 
      792*T1^8*T2^6 - 200*T1^9*T2^6 - 103*T1^10*T2^6 + 35*T1^11*T2^6 + 
      3*T1^12*T2^6 + 10*T1*T2^7 + 5*T1^2*T2^7 - 135*T1^3*T2^7 + 
      330*T1^4*T2^7 - 385*T1^5*T2^7 - 625*T1^6*T2^7 + 1175*T1^7*T2^7 - 
      660*T1^8*T2^7 - 120*T1^9*T2^7 + 250*T1^10*T2^7 - 35*T1^11*T2^7 - 
      15*T1^12*T2^7 - 11*T1^2*T2^8 + 55*T1^3*T2^8 - 39*T1^4*T2^8 - 
      250*T1^5*T2^8 + 792*T1^6*T2^8 - 660*T1^7*T2^8 - 268*T1^8*T2^8 + 
      590*T1^9*T2^8 - 305*T1^10*T2^8 - 15*T1^11*T2^8 + 33*T1^12*T2^8 - 
      55*T1^4*T2^9 + 195*T1^5*T2^9 - 200*T1^6*T2^9 - 120*T1^7*T2^9 + 
      590*T1^8*T2^9 - 360*T1^9*T2^9 + 30*T1^10*T2^9 + 115*T1^11*T2^9 - 
      45*T1^12*T2^9 + 11*T1^4*T2^10 - 5*T1^5*T2^10 - 103*T1^6*T2^10 + 
      250*T1^7*T2^10 - 305*T1^8*T2^10 + 30*T1^9*T2^10 + 117*T1^10*T2^10 - 
      115*T1^11*T2^10 + 33*T1^12*T2^10 - 10*T1^5*T2^11 + 35*T1^6*T2^11 - 
      35*T1^7*T2^11 - 15*T1^8*T2^11 + 115*T1^9*T2^11 - 115*T1^10*T2^11 + 
      65*T1^11*T2^11 - 15*T1^12*T2^11 + 3*T1^6*T2^12 - 15*T1^7*T2^12 + 
      33*T1^8*T2^12 - 45*T1^9*T2^12 + 33*T1^10*T2^12 - 15*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 313] -> 
  {1, -((T1 + T1^2 + T2 - 2*T1*T2 - 4*T1^2*T2 - 2*T1^3*T2 + T1^4*T2 + T2^2 - 
      4*T1*T2^2 + 4*T1^2*T2^2 + 4*T1^3*T2^2 - 4*T1^4*T2^2 + T1^5*T2^2 - 
      2*T1*T2^3 + 4*T1^2*T2^3 + 4*T1^4*T2^3 - 2*T1^5*T2^3 + T1*T2^4 - 
      4*T1^2*T2^4 + 4*T1^3*T2^4 + 4*T1^4*T2^4 - 4*T1^5*T2^4 + T1^6*T2^4 + 
      T1^2*T2^5 - 2*T1^3*T2^5 - 4*T1^4*T2^5 - 2*T1^5*T2^5 + T1^6*T2^5 + 
      T1^4*T2^6 + T1^5*T2^6)/(T1^4*T2^3*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 314] -> 
  {((1 - 3*T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-2 + 12*T1 - 26*T1^2 + 30*T1^3 - 26*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 119*T1^2*T2 - 100*T1^3*T2 + 68*T1^4*T2 + 5*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 26*T2^2 + 119*T1*T2^2 - 110*T1^2*T2^2 - 
     101*T1^3*T2^2 + 204*T1^4*T2^2 - 335*T1^5*T2^2 + 202*T1^6*T2^2 - 
     37*T1^7*T2^2 + 30*T2^3 - 100*T1*T2^3 - 101*T1^2*T2^3 + 567*T1^3*T2^3 - 
     634*T1^4*T2^3 + 695*T1^5*T2^3 - 195*T1^6*T2^3 - 140*T1^7*T2^3 + 
     92*T1^8*T2^3 - 15*T1^9*T2^3 - 26*T2^4 + 68*T1*T2^4 + 204*T1^2*T2^4 - 
     634*T1^3*T2^4 + 383*T1^4*T2^4 - 187*T1^5*T2^4 - 613*T1^6*T2^4 + 
     746*T1^7*T2^4 - 200*T1^8*T2^4 - 64*T1^9*T2^4 + 26*T1^10*T2^4 + 12*T2^5 + 
     5*T1*T2^5 - 335*T1^2*T2^5 + 695*T1^3*T2^5 - 187*T1^4*T2^5 - 
     251*T1^5*T2^5 + 973*T1^6*T2^5 - 538*T1^7*T2^5 - 532*T1^8*T2^5 + 
     484*T1^9*T2^5 - 49*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     202*T1^2*T2^6 - 195*T1^3*T2^6 - 613*T1^4*T2^6 + 973*T1^5*T2^6 - 
     744*T1^6*T2^6 - 377*T1^7*T2^6 + 1361*T1^8*T2^6 - 441*T1^9*T2^6 - 
     246*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     37*T1^2*T2^7 - 140*T1^3*T2^7 + 746*T1^4*T2^7 - 538*T1^5*T2^7 - 
     377*T1^6*T2^7 + 847*T1^7*T2^7 - 889*T1^8*T2^7 - 481*T1^9*T2^7 + 
     679*T1^10*T2^7 - 91*T1^11*T2^7 - 24*T1^12*T2^7 + 92*T1^3*T2^8 - 
     200*T1^4*T2^8 - 532*T1^5*T2^8 + 1361*T1^6*T2^8 - 889*T1^7*T2^8 + 
     365*T1^8*T2^8 + 848*T1^9*T2^8 - 604*T1^10*T2^8 - 40*T1^11*T2^8 + 
     52*T1^12*T2^8 - 15*T1^3*T2^9 - 64*T1^4*T2^9 + 484*T1^5*T2^9 - 
     441*T1^6*T2^9 - 481*T1^7*T2^9 + 848*T1^8*T2^9 - 1203*T1^9*T2^9 + 
     445*T1^10*T2^9 + 128*T1^11*T2^9 - 60*T1^12*T2^9 + 26*T1^4*T2^10 - 
     49*T1^5*T2^10 - 246*T1^6*T2^10 + 679*T1^7*T2^10 - 604*T1^8*T2^10 + 
     445*T1^9*T2^10 + 66*T1^10*T2^10 - 205*T1^11*T2^10 + 52*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 91*T1^7*T2^11 - 40*T1^8*T2^11 + 
     128*T1^9*T2^11 - 205*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 52*T1^8*T2^12 - 60*T1^9*T2^12 + 
     52*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 315] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 42*T1^2 + 57*T1^3 - 42*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 180*T1^2*T2 - 173*T1^3*T2 + 25*T1^4*T2 + 60*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 42*T2^2 + 180*T1*T2^2 - 173*T1^2*T2^2 - 
      122*T1^3*T2^2 + 563*T1^4*T2^2 - 486*T1^5*T2^2 + 191*T1^6*T2^2 + 
      12*T1^7*T2^2 - 14*T1^8*T2^2 + 57*T2^3 - 173*T1*T2^3 - 122*T1^2*T2^3 + 
      765*T1^3*T2^3 - 1185*T1^4*T2^3 + 447*T1^5*T2^3 + 225*T1^6*T2^3 - 
      332*T1^7*T2^3 + 85*T1^8*T2^3 - 42*T2^4 + 25*T1*T2^4 + 563*T1^2*T2^4 - 
      1185*T1^3*T2^4 + 919*T1^4*T2^4 + 685*T1^5*T2^4 - 1317*T1^6*T2^4 + 
      715*T1^7*T2^4 - 21*T1^8*T2^4 - 83*T1^9*T2^4 + 14*T1^10*T2^4 + 18*T2^5 + 
      60*T1*T2^5 - 486*T1^2*T2^5 + 447*T1^3*T2^5 + 685*T1^4*T2^5 - 
      2196*T1^5*T2^5 + 1752*T1^6*T2^5 - 15*T1^7*T2^5 - 649*T1^8*T2^5 + 
      340*T1^9*T2^5 - 12*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      191*T1^2*T2^6 + 225*T1^3*T2^6 - 1317*T1^4*T2^6 + 1752*T1^5*T2^6 - 
      384*T1^6*T2^6 - 1508*T1^7*T2^6 + 1127*T1^8*T2^6 - 225*T1^9*T2^6 - 
      197*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      12*T1^2*T2^7 - 332*T1^3*T2^7 + 715*T1^4*T2^7 - 15*T1^5*T2^7 - 
      1508*T1^6*T2^7 + 2440*T1^7*T2^7 - 715*T1^8*T2^7 - 381*T1^9*T2^7 + 
      494*T1^10*T2^7 - 60*T1^11*T2^7 - 18*T1^12*T2^7 - 14*T1^2*T2^8 + 
      85*T1^3*T2^8 - 21*T1^4*T2^8 - 649*T1^5*T2^8 + 1127*T1^6*T2^8 - 
      715*T1^7*T2^8 - 1109*T1^8*T2^8 + 1251*T1^9*T2^8 - 605*T1^10*T2^8 - 
      23*T1^11*T2^8 + 42*T1^12*T2^8 - 83*T1^4*T2^9 + 340*T1^5*T2^9 - 
      225*T1^6*T2^9 - 381*T1^7*T2^9 + 1251*T1^8*T2^9 - 765*T1^9*T2^9 + 
      130*T1^10*T2^9 + 175*T1^11*T2^9 - 57*T1^12*T2^9 + 14*T1^4*T2^10 - 
      12*T1^5*T2^10 - 197*T1^6*T2^10 + 494*T1^7*T2^10 - 605*T1^8*T2^10 + 
      130*T1^9*T2^10 + 167*T1^10*T2^10 - 180*T1^11*T2^10 + 42*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 60*T1^7*T2^11 - 23*T1^8*T2^11 + 
      175*T1^9*T2^11 - 180*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 42*T1^8*T2^12 - 57*T1^9*T2^12 + 
      42*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 316] -> 
  {-((1 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + T^6)/T^3), 
   -((-5 + 35*T1 - 75*T1^2 + 95*T1^3 - 75*T1^4 + 35*T1^5 - 5*T1^6 + 35*T2 - 
      223*T1*T2 + 334*T1^2*T2 - 248*T1^3*T2 - 10*T1^4*T2 + 180*T1^5*T2 - 
      167*T1^6*T2 + 28*T1^7*T2 - 75*T2^2 + 334*T1*T2^2 + 250*T1^2*T2^2 - 
      1286*T1^3*T2^2 + 2036*T1^4*T2^2 - 1646*T1^5*T2^2 + 670*T1^6*T2^2 + 
      124*T1^7*T2^2 - 45*T1^8*T2^2 + 95*T2^3 - 248*T1*T2^3 - 1286*T1^2*T2^3 + 
      2408*T1^3*T2^3 - 2147*T1^4*T2^3 + 169*T1^5*T2^3 + 1238*T1^6*T2^3 - 
      1301*T1^7*T2^3 + 46*T1^8*T2^3 + 38*T1^9*T2^3 - 75*T2^4 - 10*T1*T2^4 + 
      2036*T1^2*T2^4 - 2147*T1^3*T2^4 + 670*T1^4*T2^4 + 1632*T1^5*T2^4 - 
      1682*T1^6*T2^4 + 437*T1^7*T2^4 + 1074*T1^8*T2^4 - 164*T1^9*T2^4 - 
      15*T1^10*T2^4 + 35*T2^5 + 180*T1*T2^5 - 1646*T1^2*T2^5 + 
      169*T1^3*T2^5 + 1632*T1^4*T2^5 - 2505*T1^5*T2^5 + 535*T1^6*T2^5 + 
      1137*T1^7*T2^5 - 1611*T1^8*T2^5 - 251*T1^9*T2^5 + 110*T1^10*T2^5 - 
      5*T2^6 - 167*T1*T2^6 + 670*T1^2*T2^6 + 1238*T1^3*T2^6 - 
      1682*T1^4*T2^6 + 535*T1^5*T2^6 + 1908*T1^6*T2^6 - 2163*T1^7*T2^6 + 
      984*T1^8*T2^6 + 914*T1^9*T2^6 - 162*T1^10*T2^6 - 13*T1^11*T2^6 + 
      T1^12*T2^6 + 28*T1*T2^7 + 124*T1^2*T2^7 - 1301*T1^3*T2^7 + 
      437*T1^4*T2^7 + 1137*T1^5*T2^7 - 2163*T1^6*T2^7 + 877*T1^7*T2^7 + 
      642*T1^8*T2^7 - 1343*T1^9*T2^7 + 94*T1^10*T2^7 + 54*T1^11*T2^7 - 
      7*T1^12*T2^7 - 45*T1^2*T2^8 + 46*T1^3*T2^8 + 1074*T1^4*T2^8 - 
      1611*T1^5*T2^8 + 984*T1^6*T2^8 + 642*T1^7*T2^8 - 1368*T1^8*T2^8 + 
      973*T1^9*T2^8 + 112*T1^10*T2^8 - 108*T1^11*T2^8 + 15*T1^12*T2^8 + 
      38*T1^3*T2^9 - 164*T1^4*T2^9 - 251*T1^5*T2^9 + 914*T1^6*T2^9 - 
      1343*T1^7*T2^9 + 973*T1^8*T2^9 - 256*T1^9*T2^9 - 266*T1^10*T2^9 + 
      130*T1^11*T2^9 - 19*T1^12*T2^9 - 15*T1^4*T2^10 + 110*T1^5*T2^10 - 
      162*T1^6*T2^10 + 94*T1^7*T2^10 + 112*T1^8*T2^10 - 266*T1^9*T2^10 + 
      258*T1^10*T2^10 - 100*T1^11*T2^10 + 15*T1^12*T2^10 - 13*T1^6*T2^11 + 
      54*T1^7*T2^11 - 108*T1^8*T2^11 + 130*T1^9*T2^11 - 100*T1^10*T2^11 + 
      43*T1^11*T2^11 - 7*T1^12*T2^11 + T1^6*T2^12 - 7*T1^7*T2^12 + 
      15*T1^8*T2^12 - 19*T1^9*T2^12 + 15*T1^10*T2^12 - 7*T1^11*T2^12 + 
      T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 317] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-23 + 103*T1 - 218*T1^2 + 287*T1^3 - 218*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 394*T1*T2 + 676*T1^2*T2 - 650*T1^3*T2 + 142*T1^4*T2 + 
      172*T1^5*T2 - 196*T1^6*T2 + 67*T1^7*T2 - 218*T2^2 + 676*T1*T2^2 - 
      792*T1^2*T2^2 + 181*T1^3*T2^2 + 1030*T1^4*T2^2 - 1035*T1^5*T2^2 + 
      500*T1^6*T2^2 - 8*T1^7*T2^2 - 66*T1^8*T2^2 + 287*T2^3 - 650*T1*T2^3 + 
      181*T1^2*T2^3 + 1091*T1^3*T2^3 - 2338*T1^4*T2^3 + 986*T1^5*T2^3 + 
      353*T1^6*T2^3 - 788*T1^7*T2^3 + 358*T1^8*T2^3 - 13*T1^9*T2^3 - 
      218*T2^4 + 142*T1*T2^4 + 1030*T1^2*T2^4 - 2338*T1^3*T2^4 + 
      2289*T1^4*T2^4 + 915*T1^5*T2^4 - 2327*T1^6*T2^4 + 1512*T1^7*T2^4 - 
      132*T1^8*T2^4 - 326*T1^9*T2^4 + 86*T1^10*T2^4 + 103*T2^5 + 
      172*T1*T2^5 - 1035*T1^2*T2^5 + 986*T1^3*T2^5 + 915*T1^4*T2^5 - 
      4116*T1^5*T2^5 + 3410*T1^6*T2^5 - 244*T1^7*T2^5 - 1286*T1^8*T2^5 + 
      922*T1^9*T2^5 - 44*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 196*T1*T2^6 + 
      500*T1^2*T2^6 + 353*T1^3*T2^6 - 2327*T1^4*T2^6 + 3410*T1^5*T2^6 - 
      744*T1^6*T2^6 - 2850*T1^7*T2^6 + 2303*T1^8*T2^6 - 589*T1^9*T2^6 - 
      516*T1^10*T2^6 + 236*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 - 
      8*T1^2*T2^7 - 788*T1^3*T2^7 + 1512*T1^4*T2^7 - 244*T1^5*T2^7 - 
      2850*T1^6*T2^7 + 4676*T1^7*T2^7 - 1403*T1^8*T2^7 - 760*T1^9*T2^7 + 
      1169*T1^10*T2^7 - 224*T1^11*T2^7 - 113*T1^12*T2^7 - 66*T1^2*T2^8 + 
      358*T1^3*T2^8 - 132*T1^4*T2^8 - 1286*T1^5*T2^8 + 2303*T1^6*T2^8 - 
      1403*T1^7*T2^8 - 2313*T1^8*T2^8 + 2564*T1^9*T2^8 - 1294*T1^10*T2^8 - 
      110*T1^11*T2^8 + 238*T1^12*T2^8 - 13*T1^3*T2^9 - 326*T1^4*T2^9 + 
      922*T1^5*T2^9 - 589*T1^6*T2^9 - 760*T1^7*T2^9 + 2564*T1^8*T2^9 - 
      1327*T1^9*T2^9 - 47*T1^10*T2^9 + 682*T1^11*T2^9 - 313*T1^12*T2^9 + 
      86*T1^4*T2^10 - 44*T1^5*T2^10 - 516*T1^6*T2^10 + 1169*T1^7*T2^10 - 
      1294*T1^8*T2^10 - 47*T1^9*T2^10 + 776*T1^10*T2^10 - 728*T1^11*T2^10 + 
      238*T1^12*T2^10 - 77*T1^5*T2^11 + 236*T1^6*T2^11 - 224*T1^7*T2^11 - 
      110*T1^8*T2^11 + 682*T1^9*T2^11 - 728*T1^10*T2^11 + 434*T1^11*T2^11 - 
      113*T1^12*T2^11 + 25*T1^6*T2^12 - 113*T1^7*T2^12 + 238*T1^8*T2^12 - 
      313*T1^9*T2^12 + 238*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 318] -> 
  {((1 - T + T^3)*(1 - T^2 + T^3))/T^3, 
   (-2 + 2*T1 + 2*T1^2 - 6*T1^3 + 2*T1^4 + 2*T1^5 - 2*T1^6 + 2*T2 - 3*T1*T2 + 
     3*T1^3*T2 - T1^4*T2 - T1^6*T2 + T1^7*T2 + 2*T2^2 - 2*T1^2*T2^2 + 
     6*T1^3*T2^2 - 2*T1^5*T2^2 + 2*T1^6*T2^2 + 2*T1^7*T2^2 - 6*T2^3 + 
     3*T1*T2^3 + 6*T1^2*T2^3 - 8*T1^3*T2^3 - 6*T1^4*T2^3 - 2*T1^5*T2^3 + 
     10*T1^6*T2^3 - 5*T1^7*T2^3 - 5*T1^8*T2^3 + 3*T1^9*T2^3 + 2*T2^4 - 
     T1*T2^4 - 6*T1^3*T2^4 + 3*T1^4*T2^4 + 13*T1^5*T2^4 - 13*T1^6*T2^4 - 
     6*T1^7*T2^4 + 10*T1^8*T2^4 - 3*T1^9*T2^4 - 2*T1^10*T2^4 + 2*T2^5 - 
     2*T1^2*T2^5 - 2*T1^3*T2^5 + 13*T1^4*T2^5 - 9*T1^5*T2^5 - 11*T1^6*T2^5 + 
     24*T1^7*T2^5 - 14*T1^8*T2^5 - 3*T1^9*T2^5 + 8*T1^10*T2^5 - 
     3*T1^11*T2^5 - 2*T2^6 - T1*T2^6 + 2*T1^2*T2^6 + 10*T1^3*T2^6 - 
     13*T1^4*T2^6 - 11*T1^5*T2^6 + 36*T1^6*T2^6 - 17*T1^7*T2^6 - 
     11*T1^8*T2^6 + 22*T1^9*T2^6 - 6*T1^10*T2^6 - 3*T1^11*T2^6 + 
     4*T1^12*T2^6 + T1*T2^7 + 2*T1^2*T2^7 - 5*T1^3*T2^7 - 6*T1^4*T2^7 + 
     24*T1^5*T2^7 - 17*T1^6*T2^7 - 19*T1^7*T2^7 + 35*T1^8*T2^7 - 
     18*T1^9*T2^7 - 6*T1^10*T2^7 + 10*T1^11*T2^7 - 4*T1^12*T2^7 - 
     5*T1^3*T2^8 + 10*T1^4*T2^8 - 14*T1^5*T2^8 - 11*T1^6*T2^8 + 
     35*T1^7*T2^8 - 27*T1^8*T2^8 - 14*T1^9*T2^8 + 20*T1^10*T2^8 - 
     7*T1^11*T2^8 - 4*T1^12*T2^8 + 3*T1^3*T2^9 - 3*T1^4*T2^9 - 3*T1^5*T2^9 + 
     22*T1^6*T2^9 - 18*T1^7*T2^9 - 14*T1^8*T2^9 + 40*T1^9*T2^9 - 
     14*T1^10*T2^9 - 11*T1^11*T2^9 + 12*T1^12*T2^9 - 2*T1^4*T2^10 + 
     8*T1^5*T2^10 - 6*T1^6*T2^10 - 6*T1^7*T2^10 + 20*T1^8*T2^10 - 
     14*T1^9*T2^10 - 2*T1^10*T2^10 + 10*T1^11*T2^10 - 4*T1^12*T2^10 - 
     3*T1^5*T2^11 - 3*T1^6*T2^11 + 10*T1^7*T2^11 - 7*T1^8*T2^11 - 
     11*T1^9*T2^11 + 10*T1^10*T2^11 - T1^11*T2^11 - 4*T1^12*T2^11 + 
     4*T1^6*T2^12 - 4*T1^7*T2^12 - 4*T1^8*T2^12 + 12*T1^9*T2^12 - 
     4*T1^10*T2^12 - 4*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 319] -> 
  {-((2 - 6*T + 8*T^2 - 9*T^3 + 8*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-39 + 116*T1 - 154*T1^2 + 173*T1^3 - 154*T1^4 + 116*T1^5 - 39*T1^6 + 
      116*T2 - 252*T1*T2 + 183*T1^2*T2 - 151*T1^3*T2 + 53*T1^4*T2 + 
      15*T1^5*T2 - 156*T1^6*T2 + 92*T1^7*T2 - 154*T2^2 + 183*T1*T2^2 + 
      121*T1^2*T2^2 - 149*T1^3*T2^2 + 267*T1^4*T2^2 - 245*T1^5*T2^2 + 
      313*T1^6*T2^2 - 9*T1^7*T2^2 - 90*T1^8*T2^2 + 173*T2^3 - 151*T1*T2^3 - 
      149*T1^2*T2^3 - 6*T1^3*T2^3 - 75*T1^4*T2^3 - 15*T1^5*T2^3 - 
      84*T1^6*T2^3 - 197*T1^7*T2^3 + 77*T1^8*T2^3 + 65*T1^9*T2^3 - 154*T2^4 + 
      53*T1*T2^4 + 267*T1^2*T2^4 - 75*T1^3*T2^4 + 186*T1^4*T2^4 - 
      104*T1^5*T2^4 + 246*T1^6*T2^4 - 3*T1^7*T2^4 + 131*T1^8*T2^4 - 
      115*T1^9*T2^4 - 26*T1^10*T2^4 + 116*T2^5 + 15*T1*T2^5 - 245*T1^2*T2^5 - 
      15*T1^3*T2^5 - 104*T1^4*T2^5 + 94*T1^5*T2^5 - 218*T1^6*T2^5 - 
      8*T1^7*T2^5 - 51*T1^8*T2^5 - 5*T1^9*T2^5 + 87*T1^10*T2^5 - 
      4*T1^11*T2^5 - 39*T2^6 - 156*T1*T2^6 + 313*T1^2*T2^6 - 84*T1^3*T2^6 + 
      246*T1^4*T2^6 - 218*T1^5*T2^6 + 132*T1^6*T2^6 + 118*T1^7*T2^6 - 
      90*T1^8*T2^6 + 84*T1^9*T2^6 - 103*T1^10*T2^6 - 12*T1^11*T2^6 + 
      9*T1^12*T2^6 + 92*T1*T2^7 - 9*T1^2*T2^7 - 197*T1^3*T2^7 - 3*T1^4*T2^7 - 
      8*T1^5*T2^7 + 118*T1^6*T2^7 - 194*T1^7*T2^7 + 88*T1^8*T2^7 - 
      39*T1^9*T2^7 + 43*T1^10*T2^7 + 63*T1^11*T2^7 - 28*T1^12*T2^7 - 
      90*T1^2*T2^8 + 77*T1^3*T2^8 + 131*T1^4*T2^8 - 51*T1^5*T2^8 - 
      90*T1^6*T2^8 + 88*T1^7*T2^8 - 30*T1^8*T2^8 + 21*T1^9*T2^8 - 
      5*T1^10*T2^8 - 91*T1^11*T2^8 + 38*T1^12*T2^8 + 65*T1^3*T2^9 - 
      115*T1^4*T2^9 - 5*T1^5*T2^9 + 84*T1^6*T2^9 - 39*T1^7*T2^9 + 
      21*T1^8*T2^9 + 6*T1^9*T2^9 - 53*T1^10*T2^9 + 113*T1^11*T2^9 - 
      43*T1^12*T2^9 - 26*T1^4*T2^10 + 87*T1^5*T2^10 - 103*T1^6*T2^10 + 
      43*T1^7*T2^10 - 5*T1^8*T2^10 - 53*T1^9*T2^10 + 89*T1^10*T2^10 - 
      105*T1^11*T2^10 + 38*T1^12*T2^10 - 4*T1^5*T2^11 - 12*T1^6*T2^11 + 
      63*T1^7*T2^11 - 91*T1^8*T2^11 + 113*T1^9*T2^11 - 105*T1^10*T2^11 + 
      84*T1^11*T2^11 - 28*T1^12*T2^11 + 9*T1^6*T2^12 - 28*T1^7*T2^12 + 
      38*T1^8*T2^12 - 43*T1^9*T2^12 + 38*T1^10*T2^12 - 28*T1^11*T2^12 + 
      9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 320] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 127*T1 - 290*T1^2 + 383*T1^3 - 290*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 616*T1*T2 + 1136*T1^2*T2 - 1060*T1^3*T2 + 216*T1^4*T2 + 
      344*T1^5*T2 - 330*T1^6*T2 + 83*T1^7*T2 - 290*T2^2 + 1136*T1*T2^2 - 
      1201*T1^2*T2^2 - 463*T1^3*T2^2 + 2827*T1^4*T2^2 - 2663*T1^5*T2^2 + 
      1099*T1^6*T2^2 + 36*T1^7*T2^2 - 90*T1^8*T2^2 + 383*T2^3 - 
      1060*T1*T2^3 - 463*T1^2*T2^3 + 4071*T1^3*T2^3 - 6210*T1^4*T2^3 + 
      2612*T1^5*T2^3 + 1101*T1^6*T2^3 - 1838*T1^7*T2^3 + 568*T1^8*T2^3 - 
      13*T1^9*T2^3 - 290*T2^4 + 216*T1*T2^4 + 2827*T1^2*T2^4 - 
      6210*T1^3*T2^4 + 4516*T1^4*T2^4 + 3528*T1^5*T2^4 - 6856*T1^6*T2^4 + 
      3888*T1^7*T2^4 - 159*T1^8*T2^4 - 532*T1^9*T2^4 + 110*T1^10*T2^4 + 
      127*T2^5 + 344*T1*T2^5 - 2663*T1^2*T2^5 + 2612*T1^3*T2^5 + 
      3528*T1^4*T2^5 - 11040*T1^5*T2^5 + 8540*T1^6*T2^5 - 47*T1^7*T2^5 - 
      3658*T1^8*T2^5 + 2012*T1^9*T2^5 - 96*T1^10*T2^5 - 93*T1^11*T2^5 - 
      23*T2^6 - 330*T1*T2^6 + 1099*T1^2*T2^6 + 1101*T1^3*T2^6 - 
      6856*T1^4*T2^6 + 8540*T1^5*T2^6 - 708*T1^6*T2^6 - 8092*T1^7*T2^6 + 
      6522*T1^8*T2^6 - 1341*T1^9*T2^6 - 1125*T1^10*T2^6 + 374*T1^11*T2^6 + 
      25*T1^12*T2^6 + 83*T1*T2^7 + 36*T1^2*T2^7 - 1838*T1^3*T2^7 + 
      3888*T1^4*T2^7 - 47*T1^5*T2^7 - 8092*T1^6*T2^7 + 11488*T1^7*T2^7 - 
      3622*T1^8*T2^7 - 2382*T1^9*T2^7 + 2837*T1^10*T2^7 - 404*T1^11*T2^7 - 
      137*T1^12*T2^7 - 90*T1^2*T2^8 + 568*T1^3*T2^8 - 159*T1^4*T2^8 - 
      3658*T1^5*T2^8 + 6522*T1^6*T2^8 - 3622*T1^7*T2^8 - 4850*T1^8*T2^8 + 
      6440*T1^9*T2^8 - 3145*T1^10*T2^8 - 180*T1^11*T2^8 + 310*T1^12*T2^8 - 
      13*T1^3*T2^9 - 532*T1^4*T2^9 + 2012*T1^5*T2^9 - 1341*T1^6*T2^9 - 
      2382*T1^7*T2^9 + 6440*T1^8*T2^9 - 4311*T1^9*T2^9 + 637*T1^10*T2^9 + 
      1096*T1^11*T2^9 - 409*T1^12*T2^9 + 110*T1^4*T2^10 - 96*T1^5*T2^10 - 
      1125*T1^6*T2^10 + 2837*T1^7*T2^10 - 3145*T1^8*T2^10 + 637*T1^9*T2^10 + 
      1175*T1^10*T2^10 - 1196*T1^11*T2^10 + 310*T1^12*T2^10 - 93*T1^5*T2^11 + 
      374*T1^6*T2^11 - 404*T1^7*T2^11 - 180*T1^8*T2^11 + 1096*T1^9*T2^11 - 
      1196*T1^10*T2^11 + 660*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 
      137*T1^7*T2^12 + 310*T1^8*T2^12 - 409*T1^9*T2^12 + 310*T1^10*T2^12 - 
      137*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 321] -> {(3 - 5*T + 3*T^2)/T, 
   (3*T1 - 4*T1^2 + 3*T1^3 + 3*T2 - 14*T1*T2 + 9*T1^2*T2 + 9*T1^3*T2 - 
     14*T1^4*T2 + 3*T1^5*T2 - 4*T2^2 + 9*T1*T2^2 - 71*T1^2*T2^2 + 
     99*T1^3*T2^2 - 71*T1^4*T2^2 + 9*T1^5*T2^2 - 4*T1^6*T2^2 + 3*T2^3 + 
     9*T1*T2^3 + 99*T1^2*T2^3 - 95*T1^3*T2^3 + 25*T1^4*T2^3 + 54*T1^5*T2^3 + 
     9*T1^6*T2^3 + 3*T1^7*T2^3 - 14*T1*T2^4 - 71*T1^2*T2^4 + 25*T1^3*T2^4 + 
     24*T1^4*T2^4 - 65*T1^5*T2^4 - 17*T1^6*T2^4 - 14*T1^7*T2^4 + 3*T1*T2^5 + 
     9*T1^2*T2^5 + 54*T1^3*T2^5 - 65*T1^4*T2^5 + 55*T1^5*T2^5 + 9*T1^6*T2^5 + 
     9*T1^7*T2^5 + 3*T1^8*T2^5 - 4*T1^2*T2^6 + 9*T1^3*T2^6 - 17*T1^4*T2^6 + 
     9*T1^5*T2^6 - 17*T1^6*T2^6 + 9*T1^7*T2^6 - 4*T1^8*T2^6 + 3*T1^3*T2^7 - 
     14*T1^4*T2^7 + 9*T1^5*T2^7 + 9*T1^6*T2^7 - 14*T1^7*T2^7 + 3*T1^8*T2^7 + 
     3*T1^5*T2^8 - 4*T1^6*T2^8 + 3*T1^7*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 322] -> {-((2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4)/T^2), 
   -((-21 + 61*T1 - 71*T1^2 + 61*T1^3 - 21*T1^4 + 61*T2 - 138*T1*T2 + 
      100*T1^2*T2 - 56*T1^3*T2 - 42*T1^4*T2 + 37*T1^5*T2 - 71*T2^2 + 
      100*T1*T2^2 + 41*T1^2*T2^2 - 115*T1^3*T2^2 + 181*T1^4*T2^2 - 
      68*T1^5*T2^2 - 15*T1^6*T2^2 + 61*T2^3 - 56*T1*T2^3 - 115*T1^2*T2^3 + 
      164*T1^3*T2^3 - 94*T1^4*T2^3 - 31*T1^5*T2^3 + 76*T1^6*T2^3 - 
      11*T1^7*T2^3 - 21*T2^4 - 42*T1*T2^4 + 181*T1^2*T2^4 - 94*T1^3*T2^4 - 
      144*T1^4*T2^4 + 170*T1^5*T2^4 - 139*T1^6*T2^4 + 6*T1^7*T2^4 + 
      11*T1^8*T2^4 + 37*T1*T2^5 - 68*T1^2*T2^5 - 31*T1^3*T2^5 + 
      170*T1^4*T2^5 - 88*T1^5*T2^5 + 53*T1^6*T2^5 + 64*T1^7*T2^5 - 
      35*T1^8*T2^5 - 15*T1^2*T2^6 + 76*T1^3*T2^6 - 139*T1^4*T2^6 + 
      53*T1^5*T2^6 + T1^6*T2^6 - 92*T1^7*T2^6 + 41*T1^8*T2^6 - 11*T1^3*T2^7 + 
      6*T1^4*T2^7 + 64*T1^5*T2^7 - 92*T1^6*T2^7 + 102*T1^7*T2^7 - 
      35*T1^8*T2^7 + 11*T1^4*T2^8 - 35*T1^5*T2^8 + 41*T1^6*T2^8 - 
      35*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 323] -> {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   (-124 + 401*T1 - 584*T1^2 + 401*T1^3 - 124*T1^4 + 401*T2 - 1110*T1*T2 + 
     1271*T1^2*T2 - 393*T1^3*T2 - 226*T1^4*T2 + 193*T1^5*T2 - 584*T2^2 + 
     1271*T1*T2^2 - 651*T1^2*T2^2 - 1219*T1^3*T2^2 + 1629*T1^4*T2^2 - 
     705*T1^5*T2^2 + 24*T1^6*T2^2 + 401*T2^3 - 393*T1*T2^3 - 1219*T1^2*T2^3 + 
     3065*T1^3*T2^3 - 2187*T1^4*T2^3 + 16*T1^5*T2^3 + 647*T1^6*T2^3 - 
     223*T1^7*T2^3 - 124*T2^4 - 226*T1*T2^4 + 1629*T1^2*T2^4 - 
     2187*T1^3*T2^4 + 228*T1^4*T2^4 + 2051*T1^5*T2^4 - 1549*T1^6*T2^4 + 
     294*T1^7*T2^4 + 132*T1^8*T2^4 + 193*T1*T2^5 - 705*T1^2*T2^5 + 
     16*T1^3*T2^5 + 2051*T1^4*T2^5 - 3201*T1^5*T2^5 + 1251*T1^6*T2^5 + 
     335*T1^7*T2^5 - 431*T1^8*T2^5 + 24*T1^2*T2^6 + 647*T1^3*T2^6 - 
     1549*T1^4*T2^6 + 1251*T1^5*T2^6 + 731*T1^6*T2^6 - 1329*T1^7*T2^6 + 
     632*T1^8*T2^6 - 223*T1^3*T2^7 + 294*T1^4*T2^7 + 335*T1^5*T2^7 - 
     1329*T1^6*T2^7 + 1178*T1^7*T2^7 - 431*T1^8*T2^7 + 132*T1^4*T2^8 - 
     431*T1^5*T2^8 + 632*T1^6*T2^8 - 431*T1^7*T2^8 + 132*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 324] -> 
  {-((5 - 17*T + 23*T^2 - 17*T^3 + 5*T^4)/T^2), 
   -((-365 + 1228*T1 - 1651*T1^2 + 1228*T1^3 - 365*T1^4 + 1228*T2 - 
      3337*T1*T2 + 2882*T1^2*T2 - 518*T1^3*T2 - 1467*T1^4*T2 + 803*T1^5*T2 - 
      1651*T2^2 + 2882*T1*T2^2 + 1085*T1^2*T2^2 - 5085*T1^3*T2^2 + 
      5225*T1^4*T2^2 - 1028*T1^5*T2^2 - 501*T1^6*T2^2 + 1228*T2^3 - 
      518*T1*T2^3 - 5085*T1^2*T2^3 + 6906*T1^3*T2^3 - 3124*T1^4*T2^3 - 
      2348*T1^5*T2^3 + 1862*T1^6*T2^3 - 47*T1^7*T2^3 - 365*T2^4 - 
      1467*T1*T2^4 + 5225*T1^2*T2^4 - 3124*T1^3*T2^4 - 2664*T1^4*T2^4 + 
      5580*T1^5*T2^4 - 2301*T1^6*T2^4 - 277*T1^7*T2^4 + 135*T1^8*T2^4 + 
      803*T1*T2^5 - 1028*T1^2*T2^5 - 2348*T1^3*T2^5 + 5580*T1^4*T2^5 - 
      4450*T1^5*T2^5 + 389*T1^6*T2^5 + 1352*T1^7*T2^5 - 472*T1^8*T2^5 - 
      501*T1^2*T2^6 + 1862*T1^3*T2^6 - 2301*T1^4*T2^6 + 389*T1^5*T2^6 + 
      1839*T1^6*T2^6 - 2048*T1^7*T2^6 + 649*T1^8*T2^6 - 47*T1^3*T2^7 - 
      277*T1^4*T2^7 + 1352*T1^5*T2^7 - 2048*T1^6*T2^7 + 1593*T1^7*T2^7 - 
      472*T1^8*T2^7 + 135*T1^4*T2^8 - 472*T1^5*T2^8 + 649*T1^6*T2^8 - 
      472*T1^7*T2^8 + 135*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 325] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-25 + 138*T1 - 328*T1^2 + 443*T1^3 - 328*T1^4 + 138*T1^5 - 25*T1^6 + 
      138*T2 - 666*T1*T2 + 1285*T1^2*T2 - 1203*T1^3*T2 + 139*T1^4*T2 + 
      471*T1^5*T2 - 380*T1^6*T2 + 94*T1^7*T2 - 328*T2^2 + 1285*T1*T2^2 - 
      1539*T1^2*T2^2 - 342*T1^3*T2^2 + 3301*T1^4*T2^2 - 2838*T1^5*T2^2 + 
      957*T1^6*T2^2 + 141*T1^7*T2^2 - 120*T1^8*T2^2 + 443*T2^3 - 
      1203*T1*T2^3 - 342*T1^2*T2^3 + 4638*T1^3*T2^3 - 7405*T1^4*T2^3 + 
      2271*T1^5*T2^3 + 1826*T1^6*T2^3 - 2084*T1^7*T2^3 + 535*T1^8*T2^3 + 
      23*T1^9*T2^3 - 328*T2^4 + 139*T1*T2^4 + 3301*T1^2*T2^4 - 
      7405*T1^3*T2^4 + 5448*T1^4*T2^4 + 5460*T1^5*T2^4 - 8040*T1^6*T2^4 + 
      3795*T1^7*T2^4 + 239*T1^8*T2^4 - 609*T1^9*T2^4 + 88*T1^10*T2^4 + 
      138*T2^5 + 471*T1*T2^5 - 2838*T1^2*T2^5 + 2271*T1^3*T2^5 + 
      5460*T1^4*T2^5 - 15462*T1^5*T2^5 + 9732*T1^6*T2^5 + 676*T1^7*T2^5 - 
      4357*T1^8*T2^5 + 1920*T1^9*T2^5 - 35*T1^10*T2^5 - 82*T1^11*T2^5 - 
      25*T2^6 - 380*T1*T2^6 + 957*T1^2*T2^6 + 1826*T1^3*T2^6 - 
      8040*T1^4*T2^6 + 9732*T1^5*T2^6 + 2244*T1^6*T2^6 - 11364*T1^7*T2^6 + 
      8092*T1^8*T2^6 - 1302*T1^9*T2^6 - 1039*T1^10*T2^6 + 324*T1^11*T2^6 + 
      23*T1^12*T2^6 + 94*T1*T2^7 + 141*T1^2*T2^7 - 2084*T1^3*T2^7 + 
      3795*T1^4*T2^7 + 676*T1^5*T2^7 - 11364*T1^6*T2^7 + 13830*T1^7*T2^7 - 
      4108*T1^8*T2^7 - 2833*T1^9*T2^7 + 2674*T1^10*T2^7 - 365*T1^11*T2^7 - 
      126*T1^12*T2^7 - 120*T1^2*T2^8 + 535*T1^3*T2^8 + 239*T1^4*T2^8 - 
      4357*T1^5*T2^8 + 8092*T1^6*T2^8 - 4108*T1^7*T2^8 - 5396*T1^8*T2^8 + 
      6843*T1^9*T2^8 - 2823*T1^10*T2^8 - 213*T1^11*T2^8 + 296*T1^12*T2^8 + 
      23*T1^3*T2^9 - 609*T1^4*T2^9 + 1920*T1^5*T2^9 - 1302*T1^6*T2^9 - 
      2833*T1^7*T2^9 + 6843*T1^8*T2^9 - 4114*T1^9*T2^9 + 178*T1^10*T2^9 + 
      1129*T1^11*T2^9 - 397*T1^12*T2^9 + 88*T1^4*T2^10 - 35*T1^5*T2^10 - 
      1039*T1^6*T2^10 + 2674*T1^7*T2^10 - 2823*T1^8*T2^10 + 178*T1^9*T2^10 + 
      1457*T1^10*T2^10 - 1179*T1^11*T2^10 + 296*T1^12*T2^10 - 82*T1^5*T2^11 + 
      324*T1^6*T2^11 - 365*T1^7*T2^11 - 213*T1^8*T2^11 + 1129*T1^9*T2^11 - 
      1179*T1^10*T2^11 + 610*T1^11*T2^11 - 126*T1^12*T2^11 + 23*T1^6*T2^12 - 
      126*T1^7*T2^12 + 296*T1^8*T2^12 - 397*T1^9*T2^12 + 296*T1^10*T2^12 - 
      126*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 326] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 9*T^4 - 9*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 48*T1^2 + 54*T1^3 - 54*T1^4 + 54*T1^5 - 48*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 112*T1^2*T2 - 56*T1^3*T2 + 36*T1^4*T2 - 
     36*T1^5*T2 + 12*T1^6*T2 + 64*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     48*T2^2 + 112*T1*T2^2 - 96*T1^2*T2^2 - 82*T1^3*T2^2 + 37*T1^4*T2^2 - 
     6*T1^5*T2^2 + 53*T1^6*T2^2 - 162*T1^7*T2^2 + 16*T1^8*T2^2 + 
     48*T1^9*T2^2 - 32*T1^10*T2^2 + 54*T2^3 - 56*T1*T2^3 - 82*T1^2*T2^3 + 
     315*T1^3*T2^3 - 46*T1^4*T2^3 + 19*T1^5*T2^3 - 98*T1^6*T2^3 + 
     147*T1^7*T2^3 + 201*T1^8*T2^3 - 138*T1^9*T2^3 + 20*T1^10*T2^3 + 
     27*T1^11*T2^3 - 54*T2^4 + 36*T1*T2^4 + 37*T1^2*T2^4 - 46*T1^3*T2^4 - 
     479*T1^4*T2^4 + 358*T1^5*T2^4 - 245*T1^6*T2^4 + 250*T1^7*T2^4 - 
     551*T1^8*T2^4 + 134*T1^9*T2^4 + 37*T1^10*T2^4 - 36*T1^11*T2^4 - 
     18*T1^12*T2^4 + 54*T2^5 - 36*T1*T2^5 - 6*T1^2*T2^5 + 19*T1^3*T2^5 + 
     358*T1^4*T2^5 - 17*T1^5*T2^5 - 30*T1^6*T2^5 - 30*T1^7*T2^5 + 
     253*T1^8*T2^5 + 169*T1^9*T2^5 - 80*T1^10*T2^5 - 6*T1^11*T2^5 + 
     36*T1^12*T2^5 + 9*T1^13*T2^5 - 48*T2^6 + 12*T1*T2^6 + 53*T1^2*T2^6 - 
     98*T1^3*T2^6 - 245*T1^4*T2^6 - 30*T1^5*T2^6 - 7*T1^6*T2^6 + 
     59*T1^7*T2^6 - 247*T1^8*T2^6 - 30*T1^9*T2^6 - 101*T1^10*T2^6 + 
     46*T1^11*T2^6 + 5*T1^12*T2^6 - 36*T1^13*T2^6 + 24*T2^7 + 64*T1*T2^7 - 
     162*T1^2*T2^7 + 147*T1^3*T2^7 + 250*T1^4*T2^7 - 30*T1^5*T2^7 + 
     59*T1^6*T2^7 - 153*T1^7*T2^7 + 281*T1^8*T2^7 + 4*T1^9*T2^7 - 
     30*T1^10*T2^7 + 115*T1^11*T2^7 - 98*T1^12*T2^7 + 38*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 16*T1^2*T2^8 + 
     201*T1^3*T2^8 - 551*T1^4*T2^8 + 253*T1^5*T2^8 - 247*T1^6*T2^8 + 
     281*T1^7*T2^8 - 132*T1^8*T2^8 - 197*T1^9*T2^8 + 191*T1^10*T2^8 - 
     125*T1^11*T2^8 + 57*T1^12*T2^8 + 35*T1^13*T2^8 - 48*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 48*T1^2*T2^9 - 
     138*T1^3*T2^9 + 134*T1^4*T2^9 + 169*T1^5*T2^9 - 30*T1^6*T2^9 + 
     4*T1^7*T2^9 - 197*T1^8*T2^9 + 237*T1^9*T2^9 - 51*T1^10*T2^9 - 
     30*T1^11*T2^9 + 34*T1^12*T2^9 - 111*T1^13*T2^9 + 62*T1^14*T2^9 - 
     8*T1^16*T2^9 - 32*T1^2*T2^10 + 20*T1^3*T2^10 + 37*T1^4*T2^10 - 
     80*T1^5*T2^10 - 101*T1^6*T2^10 - 30*T1^7*T2^10 + 191*T1^8*T2^10 - 
     51*T1^9*T2^10 - 49*T1^10*T2^10 - 30*T1^11*T2^10 + 43*T1^12*T2^10 + 
     64*T1^13*T2^10 - 11*T1^14*T2^10 - 28*T1^15*T2^10 + 16*T1^16*T2^10 + 
     27*T1^3*T2^11 - 36*T1^4*T2^11 - 6*T1^5*T2^11 + 46*T1^6*T2^11 + 
     115*T1^7*T2^11 - 125*T1^8*T2^11 - 30*T1^9*T2^11 - 30*T1^10*T2^11 + 
     145*T1^11*T2^11 - 74*T1^12*T2^11 - 53*T1^13*T2^11 - 6*T1^14*T2^11 + 
     36*T1^15*T2^11 - 18*T1^16*T2^11 - 18*T1^4*T2^12 + 36*T1^5*T2^12 + 
     5*T1^6*T2^12 - 98*T1^7*T2^12 + 57*T1^8*T2^12 + 34*T1^9*T2^12 + 
     43*T1^10*T2^12 - 74*T1^11*T2^12 - 15*T1^12*T2^12 + 82*T1^13*T2^12 + 
     5*T1^14*T2^12 - 36*T1^15*T2^12 + 18*T1^16*T2^12 + 9*T1^5*T2^13 - 
     36*T1^6*T2^13 + 38*T1^7*T2^13 + 35*T1^8*T2^13 - 111*T1^9*T2^13 + 
     64*T1^10*T2^13 - 53*T1^11*T2^13 + 82*T1^12*T2^13 - 79*T1^13*T2^13 - 
     18*T1^14*T2^13 + 40*T1^15*T2^13 - 18*T1^16*T2^13 + 16*T1^7*T2^14 - 
     48*T1^8*T2^14 + 62*T1^9*T2^14 - 11*T1^10*T2^14 - 6*T1^11*T2^14 + 
     5*T1^12*T2^14 - 18*T1^13*T2^14 + 64*T1^14*T2^14 - 48*T1^15*T2^14 + 
     16*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 - 28*T1^10*T2^15 + 
     36*T1^11*T2^15 - 36*T1^12*T2^15 + 40*T1^13*T2^15 - 48*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     16*T1^10*T2^16 - 18*T1^11*T2^16 + 18*T1^12*T2^16 - 18*T1^13*T2^16 + 
     16*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 327] -> 
  {(1 - 4*T + 9*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 9*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 18*T1^2 + 22*T1^3 - 22*T1^4 + 22*T1^5 - 18*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 56*T1^2*T2 - 52*T1^3*T2 + 44*T1^4*T2 - 
     44*T1^5*T2 + 28*T1^6*T2 + 4*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 18*T2^2 + 
     56*T1*T2^2 - 99*T1^2*T2^2 + 60*T1^3*T2^2 - 36*T1^4*T2^2 + 39*T1^5*T2^2 - 
     66*T1^7*T2^2 + 45*T1^8*T2^2 - 16*T1^9*T2^2 + 22*T2^3 - 52*T1*T2^3 + 
     60*T1^2*T2^3 + 55*T1^3*T2^3 - 83*T1^4*T2^3 + 44*T1^5*T2^3 - 
     88*T1^6*T2^3 + 142*T1^7*T2^3 - 17*T1^8*T2^3 - 57*T1^9*T2^3 + 
     44*T1^10*T2^3 - 11*T1^11*T2^3 - 22*T2^4 + 44*T1*T2^4 - 36*T1^2*T2^4 - 
     83*T1^3*T2^4 + 23*T1^4*T2^4 + 117*T1^5*T2^4 - 53*T1^6*T2^4 - 
     15*T1^7*T2^4 - 153*T1^8*T2^4 + 137*T1^9*T2^4 + 8*T1^10*T2^4 - 
     44*T1^11*T2^4 + 22*T1^12*T2^4 + 22*T2^5 - 44*T1*T2^5 + 39*T1^2*T2^5 + 
     44*T1^3*T2^5 + 117*T1^4*T2^5 - 314*T1^5*T2^5 + 147*T1^6*T2^5 - 
     106*T1^7*T2^5 + 346*T1^8*T2^5 - 191*T1^9*T2^5 - 44*T1^10*T2^5 - 
     27*T1^11*T2^5 + 44*T1^12*T2^5 - 33*T1^13*T2^5 - 18*T2^6 + 28*T1*T2^6 - 
     88*T1^3*T2^6 - 53*T1^4*T2^6 + 147*T1^5*T2^6 + 106*T1^6*T2^6 + 
     60*T1^7*T2^6 - 298*T1^8*T2^6 - 73*T1^9*T2^6 + 189*T1^10*T2^6 + 
     110*T1^11*T2^6 - 20*T1^12*T2^6 - 12*T1^13*T2^6 + 36*T1^14*T2^6 + 
     8*T2^7 + 4*T1*T2^7 - 66*T1^2*T2^7 + 142*T1^3*T2^7 - 15*T1^4*T2^7 - 
     106*T1^5*T2^7 + 60*T1^6*T2^7 - 532*T1^7*T2^7 + 546*T1^8*T2^7 - 
     67*T1^9*T2^7 + 213*T1^10*T2^7 - 411*T1^11*T2^7 - 103*T1^12*T2^7 + 
     105*T1^13*T2^7 - 64*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 
     45*T1^2*T2^8 - 17*T1^3*T2^8 - 153*T1^4*T2^8 + 346*T1^5*T2^8 - 
     298*T1^6*T2^8 + 546*T1^7*T2^8 + 12*T1^8*T2^8 - 502*T1^9*T2^8 + 
     264*T1^10*T2^8 - 314*T1^11*T2^8 + 827*T1^12*T2^8 - 295*T1^13*T2^8 + 
     57*T1^14*T2^8 + 56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 
     16*T1^2*T2^9 - 57*T1^3*T2^9 + 137*T1^4*T2^9 - 191*T1^5*T2^9 - 
     73*T1^6*T2^9 - 67*T1^7*T2^9 - 502*T1^8*T2^9 + 576*T1^9*T2^9 - 
     194*T1^10*T2^9 + 246*T1^11*T2^9 - 587*T1^12*T2^9 - 108*T1^13*T2^9 + 
     114*T1^14*T2^9 - 84*T1^15*T2^9 - 24*T1^16*T2^9 + 44*T1^3*T2^10 + 
     8*T1^4*T2^10 - 44*T1^5*T2^10 + 189*T1^6*T2^10 + 213*T1^7*T2^10 + 
     264*T1^8*T2^10 - 194*T1^9*T2^10 - 140*T1^10*T2^10 - 7*T1^11*T2^10 + 
     431*T1^12*T2^10 + 154*T1^13*T2^10 - 12*T1^14*T2^10 + 4*T1^15*T2^10 + 
     54*T1^16*T2^10 - 11*T1^3*T2^11 - 44*T1^4*T2^11 - 27*T1^5*T2^11 + 
     110*T1^6*T2^11 - 411*T1^7*T2^11 - 314*T1^8*T2^11 + 246*T1^9*T2^11 - 
     7*T1^10*T2^11 + 346*T1^11*T2^11 - 719*T1^12*T2^11 + 22*T1^13*T2^11 - 
     93*T1^14*T2^11 + 44*T1^15*T2^11 - 66*T1^16*T2^11 + 22*T1^4*T2^12 + 
     44*T1^5*T2^12 - 20*T1^6*T2^12 - 103*T1^7*T2^12 + 827*T1^8*T2^12 - 
     587*T1^9*T2^12 + 431*T1^10*T2^12 - 719*T1^11*T2^12 + 651*T1^12*T2^12 + 
     117*T1^13*T2^12 + 24*T1^14*T2^12 - 44*T1^15*T2^12 + 66*T1^16*T2^12 - 
     33*T1^5*T2^13 - 12*T1^6*T2^13 + 105*T1^7*T2^13 - 295*T1^8*T2^13 - 
     108*T1^9*T2^13 + 154*T1^10*T2^13 + 22*T1^11*T2^13 + 117*T1^12*T2^13 - 
     367*T1^13*T2^13 - 12*T1^14*T2^13 + 84*T1^15*T2^13 - 66*T1^16*T2^13 + 
     36*T1^6*T2^14 - 64*T1^7*T2^14 + 57*T1^8*T2^14 + 114*T1^9*T2^14 - 
     12*T1^10*T2^14 - 93*T1^11*T2^14 + 24*T1^12*T2^14 - 12*T1^13*T2^14 + 
     201*T1^14*T2^14 - 136*T1^15*T2^14 + 54*T1^16*T2^14 - 20*T1^7*T2^15 + 
     56*T1^8*T2^15 - 84*T1^9*T2^15 + 4*T1^10*T2^15 + 44*T1^11*T2^15 - 
     44*T1^12*T2^15 + 84*T1^13*T2^15 - 136*T1^14*T2^15 + 76*T1^15*T2^15 - 
     24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 54*T1^10*T2^16 - 
     66*T1^11*T2^16 + 66*T1^12*T2^16 - 66*T1^13*T2^16 + 54*T1^14*T2^16 - 
     24*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 328] -> 
  {(1 - 3*T^2 + 5*T^3 - 5*T^4 + 5*T^5 - 3*T^6 + T^8)/T^4, 
   (-8 + 24*T1^2 - 40*T1^3 + 40*T1^4 - 40*T1^5 + 24*T1^6 - 8*T1^8 + T1^2*T2 - 
     3*T1^3*T2 + 2*T1^4*T2 + 2*T1^5*T2 - 3*T1^6*T2 + T1^7*T2 + 24*T2^2 + 
     T1*T2^2 - 57*T1^2*T2^2 + 118*T1^3*T2^2 - 158*T1^4*T2^2 + 185*T1^5*T2^2 - 
     146*T1^6*T2^2 + 88*T1^7*T2^2 - 33*T1^8*T2^2 + T1^9*T2^2 + 
     18*T1^10*T2^2 - 40*T2^3 - 3*T1*T2^3 + 118*T1^2*T2^3 - 201*T1^3*T2^3 + 
     169*T1^4*T2^3 - 111*T1^5*T2^3 + 9*T1^6*T2^3 + 94*T1^7*T2^3 - 
     141*T1^8*T2^3 + 73*T1^9*T2^3 - 3*T1^10*T2^3 - 25*T1^11*T2^3 + 40*T2^4 + 
     2*T1*T2^4 - 158*T1^2*T2^4 + 169*T1^3*T2^4 - 15*T1^4*T2^4 - 
     54*T1^5*T2^4 + 75*T1^6*T2^4 - 154*T1^7*T2^4 + 105*T1^8*T2^4 + 
     69*T1^9*T2^4 - 98*T1^10*T2^4 + 2*T1^11*T2^4 + 20*T1^12*T2^4 - 40*T2^5 + 
     2*T1*T2^5 + 185*T1^2*T2^5 - 111*T1^3*T2^5 - 54*T1^4*T2^5 + 
     24*T1^5*T2^5 + 23*T1^6*T2^5 + 98*T1^7*T2^5 + 4*T1^8*T2^5 - 
     134*T1^9*T2^5 + 29*T1^10*T2^5 + 95*T1^11*T2^5 + 2*T1^12*T2^5 - 
     15*T1^13*T2^5 + 24*T2^6 - 3*T1*T2^6 - 146*T1^2*T2^6 + 9*T1^3*T2^6 + 
     75*T1^4*T2^6 + 23*T1^5*T2^6 - 64*T1^6*T2^6 - 78*T1^7*T2^6 - 
     52*T1^8*T2^6 + 83*T1^9*T2^6 + 45*T1^10*T2^6 - 81*T1^11*T2^6 - 
     62*T1^12*T2^6 - 3*T1^13*T2^6 + 6*T1^14*T2^6 + T1*T2^7 + 88*T1^2*T2^7 + 
     94*T1^3*T2^7 - 154*T1^4*T2^7 + 98*T1^5*T2^7 - 78*T1^6*T2^7 + 
     152*T1^7*T2^7 + 42*T1^8*T2^7 - 53*T1^9*T2^7 - 7*T1^10*T2^7 + 
     6*T1^11*T2^7 + 69*T1^12*T2^7 + 43*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 
     33*T1^2*T2^8 - 141*T1^3*T2^8 + 105*T1^4*T2^8 + 4*T1^5*T2^8 - 
     52*T1^6*T2^8 + 42*T1^7*T2^8 - 204*T1^8*T2^8 + 122*T1^9*T2^8 - 
     42*T1^10*T2^8 + 24*T1^11*T2^8 - 43*T1^12*T2^8 - 51*T1^13*T2^8 - 
     21*T1^14*T2^8 + T1^2*T2^9 + 73*T1^3*T2^9 + 69*T1^4*T2^9 - 
     134*T1^5*T2^9 + 83*T1^6*T2^9 - 53*T1^7*T2^9 + 122*T1^8*T2^9 + 
     12*T1^9*T2^9 - 28*T1^10*T2^9 - 22*T1^11*T2^9 + 26*T1^12*T2^9 + 
     44*T1^13*T2^9 + 28*T1^14*T2^9 + T1^15*T2^9 + 18*T1^2*T2^10 - 
     3*T1^3*T2^10 - 98*T1^4*T2^10 + 29*T1^5*T2^10 + 45*T1^6*T2^10 - 
     7*T1^7*T2^10 - 42*T1^8*T2^10 - 28*T1^9*T2^10 - 30*T1^10*T2^10 + 
     53*T1^11*T2^10 + 15*T1^12*T2^10 - 61*T1^13*T2^10 - 14*T1^14*T2^10 - 
     3*T1^15*T2^10 - 25*T1^3*T2^11 + 2*T1^4*T2^11 + 95*T1^5*T2^11 - 
     81*T1^6*T2^11 + 6*T1^7*T2^11 + 24*T1^8*T2^11 - 22*T1^9*T2^11 + 
     53*T1^10*T2^11 + 4*T1^11*T2^11 - 74*T1^12*T2^11 + 59*T1^13*T2^11 + 
     5*T1^14*T2^11 + 2*T1^15*T2^11 + 20*T1^4*T2^12 + 2*T1^5*T2^12 - 
     62*T1^6*T2^12 + 69*T1^7*T2^12 - 43*T1^8*T2^12 + 26*T1^9*T2^12 + 
     15*T1^10*T2^12 - 74*T1^11*T2^12 + 77*T1^12*T2^12 - 31*T1^13*T2^12 - 
     2*T1^14*T2^12 + 2*T1^15*T2^12 - 15*T1^5*T2^13 - 3*T1^6*T2^13 + 
     43*T1^7*T2^13 - 51*T1^8*T2^13 + 44*T1^9*T2^13 - 61*T1^10*T2^13 + 
     59*T1^11*T2^13 - 31*T1^12*T2^13 + 9*T1^13*T2^13 - 2*T1^14*T2^13 - 
     3*T1^15*T2^13 + 6*T1^6*T2^14 + T1^7*T2^14 - 21*T1^8*T2^14 + 
     28*T1^9*T2^14 - 14*T1^10*T2^14 + 5*T1^11*T2^14 - 2*T1^12*T2^14 - 
     2*T1^13*T2^14 + 3*T1^14*T2^14 + T1^15*T2^14 + T1^9*T2^15 - 
     3*T1^10*T2^15 + 2*T1^11*T2^15 + 2*T1^12*T2^15 - 3*T1^13*T2^15 + 
     T1^14*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 329] -> 
  {((1 - T + T^2)*(1 + 2*T - 5*T^2 + 2*T^3 + T^4))/T^3, 
   (-1 + 5*T1 - 8*T1^2 + 7*T1^3 - 2*T1^4 - T1^5 + T1^6 + 5*T2 - 18*T1*T2 - 
     T1^2*T2 + 58*T1^3*T2 - 97*T1^4*T2 + 66*T1^5*T2 - 7*T1^6*T2 - 
     12*T1^7*T2 - 8*T2^2 - T1*T2^2 - 11*T1^2*T2^2 + 82*T1^3*T2^2 - 
     197*T1^4*T2^2 + 247*T1^5*T2^2 - 163*T1^6*T2^2 + 13*T1^7*T2^2 + 
     27*T1^8*T2^2 + 7*T2^3 + 58*T1*T2^3 + 82*T1^2*T2^3 - 284*T1^3*T2^3 + 
     280*T1^4*T2^3 + 28*T1^5*T2^3 - 260*T1^6*T2^3 + 220*T1^7*T2^3 + 
     T1^8*T2^3 - 24*T1^9*T2^3 - 2*T2^4 - 97*T1*T2^4 - 197*T1^2*T2^4 + 
     280*T1^3*T2^4 + 87*T1^4*T2^4 - 597*T1^5*T2^4 + 484*T1^6*T2^4 - 
     44*T1^7*T2^4 - 199*T1^8*T2^4 - 15*T1^9*T2^4 + 5*T1^10*T2^4 - T2^5 + 
     66*T1*T2^5 + 247*T1^2*T2^5 + 28*T1^3*T2^5 - 597*T1^4*T2^5 + 
     756*T1^5*T2^5 - 43*T1^6*T2^5 - 476*T1^7*T2^5 + 349*T1^8*T2^5 + 
     106*T1^9*T2^5 + 9*T1^10*T2^5 + 6*T1^11*T2^5 + T2^6 - 7*T1*T2^6 - 
     163*T1^2*T2^6 - 260*T1^3*T2^6 + 484*T1^4*T2^6 - 43*T1^5*T2^6 - 
     727*T1^6*T2^6 + 688*T1^7*T2^6 - 107*T1^8*T2^6 - 265*T1^9*T2^6 - 
     20*T1^10*T2^6 + 6*T1^11*T2^6 - 12*T1*T2^7 + 13*T1^2*T2^7 + 
     220*T1^3*T2^7 - 44*T1^4*T2^7 - 476*T1^5*T2^7 + 688*T1^6*T2^7 - 
     164*T1^7*T2^7 - 386*T1^8*T2^7 + 382*T1^9*T2^7 + 7*T1^10*T2^7 - 
     36*T1^11*T2^7 + 27*T1^2*T2^8 + T1^3*T2^8 - 199*T1^4*T2^8 + 
     349*T1^5*T2^8 - 107*T1^6*T2^8 - 386*T1^7*T2^8 + 607*T1^8*T2^8 - 
     361*T1^9*T2^8 + 22*T1^10*T2^8 + 54*T1^11*T2^8 - 24*T1^3*T2^9 - 
     15*T1^4*T2^9 + 106*T1^5*T2^9 - 265*T1^6*T2^9 + 382*T1^7*T2^9 - 
     361*T1^8*T2^9 + 190*T1^9*T2^9 - 27*T1^10*T2^9 - 36*T1^11*T2^9 + 
     5*T1^4*T2^10 + 9*T1^5*T2^10 - 20*T1^6*T2^10 + 7*T1^7*T2^10 + 
     22*T1^8*T2^10 - 27*T1^9*T2^10 + 9*T1^10*T2^10 + 6*T1^11*T2^10 + 
     6*T1^5*T2^11 + 6*T1^6*T2^11 - 36*T1^7*T2^11 + 54*T1^8*T2^11 - 
     36*T1^9*T2^11 + 6*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 330] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-33 + 149*T1 - 332*T1^2 + 415*T1^3 - 332*T1^4 + 149*T1^5 - 33*T1^6 + 
     149*T2 - 558*T1*T2 + 985*T1^2*T2 - 733*T1^3*T2 + 77*T1^4*T2 + 
     463*T1^5*T2 - 360*T1^6*T2 + 113*T1^7*T2 - 332*T2^2 + 985*T1*T2^2 - 
     1201*T1^2*T2^2 - 195*T1^3*T2^2 + 1365*T1^4*T2^2 - 1475*T1^5*T2^2 + 
     239*T1^6*T2^2 + 265*T1^7*T2^2 - 172*T1^8*T2^2 + 415*T2^3 - 733*T1*T2^3 - 
     195*T1^2*T2^3 + 2860*T1^3*T2^3 - 2861*T1^4*T2^3 + 889*T1^5*T2^3 + 
     1690*T1^6*T2^3 - 1215*T1^7*T2^3 + 257*T1^8*T2^3 + 115*T1^9*T2^3 - 
     332*T2^4 + 77*T1*T2^4 + 1365*T1^2*T2^4 - 2861*T1^3*T2^4 - 
     559*T1^4*T2^4 + 3987*T1^5*T2^4 - 4879*T1^6*T2^4 + 1239*T1^7*T2^4 + 
     515*T1^8*T2^4 - 463*T1^9*T2^4 - 12*T1^10*T2^4 + 149*T2^5 + 463*T1*T2^5 - 
     1475*T1^2*T2^5 + 889*T1^3*T2^5 + 3987*T1^4*T2^5 - 5302*T1^5*T2^5 + 
     2528*T1^6*T2^5 + 2267*T1^7*T2^5 - 2161*T1^8*T2^5 + 585*T1^9*T2^5 + 
     193*T1^10*T2^5 - 31*T1^11*T2^5 - 33*T2^6 - 360*T1*T2^6 + 239*T1^2*T2^6 + 
     1690*T1^3*T2^6 - 4879*T1^4*T2^6 + 2528*T1^5*T2^6 + 2160*T1^6*T2^6 - 
     4656*T1^7*T2^6 + 1901*T1^8*T2^6 + 370*T1^9*T2^6 - 597*T1^10*T2^6 + 
     72*T1^11*T2^6 + 15*T1^12*T2^6 + 113*T1*T2^7 + 265*T1^2*T2^7 - 
     1215*T1^3*T2^7 + 1239*T1^4*T2^7 + 2267*T1^5*T2^7 - 4656*T1^6*T2^7 + 
     3174*T1^7*T2^7 + 547*T1^8*T2^7 - 1811*T1^9*T2^7 + 845*T1^10*T2^7 - 
     5*T1^11*T2^7 - 67*T1^12*T2^7 - 172*T1^2*T2^8 + 257*T1^3*T2^8 + 
     515*T1^4*T2^8 - 2161*T1^5*T2^8 + 1901*T1^6*T2^8 + 547*T1^7*T2^8 - 
     2419*T1^8*T2^8 + 1939*T1^9*T2^8 - 335*T1^10*T2^8 - 283*T1^11*T2^8 + 
     148*T1^12*T2^8 + 115*T1^3*T2^9 - 463*T1^4*T2^9 + 585*T1^5*T2^9 + 
     370*T1^6*T2^9 - 1811*T1^7*T2^9 + 1939*T1^8*T2^9 - 800*T1^9*T2^9 - 
     435*T1^10*T2^9 + 527*T1^11*T2^9 - 185*T1^12*T2^9 - 12*T1^4*T2^10 + 
     193*T1^5*T2^10 - 597*T1^6*T2^10 + 845*T1^7*T2^10 - 335*T1^8*T2^10 - 
     435*T1^9*T2^10 + 843*T1^10*T2^10 - 527*T1^11*T2^10 + 148*T1^12*T2^10 - 
     31*T1^5*T2^11 + 72*T1^6*T2^11 - 5*T1^7*T2^11 - 283*T1^8*T2^11 + 
     527*T1^9*T2^11 - 527*T1^10*T2^11 + 270*T1^11*T2^11 - 67*T1^12*T2^11 + 
     15*T1^6*T2^12 - 67*T1^7*T2^12 + 148*T1^8*T2^12 - 185*T1^9*T2^12 + 
     148*T1^10*T2^12 - 67*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 331] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((-9 + 33*T1 - 44*T1^2 + 45*T1^3 - 44*T1^4 + 33*T1^5 - 9*T1^6 + 33*T2 - 
      116*T1*T2 + 137*T1^2*T2 - 129*T1^3*T2 + 123*T1^4*T2 - 87*T1^5*T2 + 
      10*T1^6*T2 + 5*T1^7*T2 - 44*T2^2 + 137*T1*T2^2 - 81*T1^2*T2^2 - 
      9*T1^3*T2^2 + 39*T1^4*T2^2 - 81*T1^5*T2^2 + 171*T1^6*T2^2 - 
      115*T1^7*T2^2 + 28*T1^8*T2^2 + 45*T2^3 - 129*T1*T2^3 - 9*T1^2*T2^3 + 
      155*T1^3*T2^3 - 125*T1^4*T2^3 + 145*T1^5*T2^3 - 259*T1^6*T2^3 + 
      72*T1^7*T2^3 + 123*T1^8*T2^3 - 63*T1^9*T2^3 - 44*T2^4 + 123*T1*T2^4 + 
      39*T1^2*T2^4 - 125*T1^3*T2^4 - 10*T1^4*T2^4 - 98*T1^5*T2^4 + 
      242*T1^6*T2^4 + 109*T1^7*T2^4 - 195*T1^8*T2^4 - 129*T1^9*T2^4 + 
      100*T1^10*T2^4 + 33*T2^5 - 87*T1*T2^5 - 81*T1^2*T2^5 + 145*T1^3*T2^5 - 
      98*T1^4*T2^5 + 438*T1^5*T2^5 - 498*T1^6*T2^5 + 55*T1^7*T2^5 - 
      197*T1^8*T2^5 + 450*T1^9*T2^5 + 25*T1^10*T2^5 - 107*T1^11*T2^5 - 
      9*T2^6 + 10*T1*T2^6 + 171*T1^2*T2^6 - 259*T1^3*T2^6 + 242*T1^4*T2^6 - 
      498*T1^5*T2^6 + 132*T1^6*T2^6 + 382*T1^7*T2^6 - 172*T1^8*T2^6 + 
      155*T1^9*T2^6 - 661*T1^10*T2^6 + 234*T1^11*T2^6 + 39*T1^12*T2^6 + 
      5*T1*T2^7 - 115*T1^2*T2^7 + 72*T1^3*T2^7 + 109*T1^4*T2^7 + 
      55*T1^5*T2^7 + 382*T1^6*T2^7 - 554*T1^7*T2^7 + 208*T1^8*T2^7 - 
      233*T1^9*T2^7 + 603*T1^10*T2^7 - 3*T1^11*T2^7 - 135*T1^12*T2^7 + 
      28*T1^2*T2^8 + 123*T1^3*T2^8 - 195*T1^4*T2^8 - 197*T1^5*T2^8 - 
      172*T1^6*T2^8 + 208*T1^7*T2^8 + 80*T1^8*T2^8 + 37*T1^9*T2^8 - 
      429*T1^10*T2^8 - 129*T1^11*T2^8 + 172*T1^12*T2^8 - 63*T1^3*T2^9 - 
      129*T1^4*T2^9 + 450*T1^5*T2^9 + 155*T1^6*T2^9 - 233*T1^7*T2^9 + 
      37*T1^8*T2^9 - 259*T1^9*T2^9 + 531*T1^10*T2^9 + 123*T1^11*T2^9 - 
      171*T1^12*T2^9 + 100*T1^4*T2^10 + 25*T1^5*T2^10 - 661*T1^6*T2^10 + 
      603*T1^7*T2^10 - 429*T1^8*T2^10 + 531*T1^9*T2^10 - 409*T1^10*T2^10 - 
      227*T1^11*T2^10 + 172*T1^12*T2^10 - 107*T1^5*T2^11 + 234*T1^6*T2^11 - 
      3*T1^7*T2^11 - 129*T1^8*T2^11 + 123*T1^9*T2^11 - 227*T1^10*T2^11 + 
      360*T1^11*T2^11 - 135*T1^12*T2^11 + 39*T1^6*T2^12 - 135*T1^7*T2^12 + 
      172*T1^8*T2^12 - 171*T1^9*T2^12 + 172*T1^10*T2^12 - 135*T1^11*T2^12 + 
      39*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 332] -> {(2 - 2*T + T^2 - 2*T^3 + 2*T^4)/T^2, 
   (1 + T1 - 3*T1^2 + T1^3 + T1^4 + T2 - 12*T1*T2 + 12*T1^2*T2 + 4*T1^4*T2 - 
     7*T1^5*T2 - 3*T2^2 + 12*T1*T2^2 - 11*T1^2*T2^2 + 5*T1^3*T2^2 - 
     15*T1^4*T2^2 + 4*T1^5*T2^2 + 5*T1^6*T2^2 + T2^3 + 5*T1^2*T2^3 - 
     22*T1^3*T2^3 + 20*T1^4*T2^3 + T1^5*T2^3 + 20*T1^6*T2^3 - 23*T1^7*T2^3 + 
     T2^4 + 4*T1*T2^4 - 15*T1^2*T2^4 + 20*T1^3*T2^4 + 12*T1^4*T2^4 - 
     20*T1^5*T2^4 - 15*T1^6*T2^4 - 12*T1^7*T2^4 + 33*T1^8*T2^4 - 7*T1*T2^5 + 
     4*T1^2*T2^5 + T1^3*T2^5 - 20*T1^4*T2^5 + 22*T1^5*T2^5 - 3*T1^6*T2^5 + 
     24*T1^7*T2^5 - 31*T1^8*T2^5 + 5*T1^2*T2^6 + 20*T1^3*T2^6 - 
     15*T1^4*T2^6 - 3*T1^5*T2^6 - 19*T1^6*T2^6 + 12*T1^7*T2^6 + 
     13*T1^8*T2^6 - 23*T1^3*T2^7 - 12*T1^4*T2^7 + 24*T1^5*T2^7 + 
     12*T1^6*T2^7 + 4*T1^7*T2^7 - 31*T1^8*T2^7 + 33*T1^4*T2^8 - 
     31*T1^5*T2^8 + 13*T1^6*T2^8 - 31*T1^7*T2^8 + 33*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 333] -> 
  {(3 - 11*T + 17*T^2 - 11*T^3 + 3*T^4)/T^2, 
   (-63 + 235*T1 - 367*T1^2 + 235*T1^3 - 63*T1^4 + 235*T2 - 737*T1*T2 + 
     853*T1^2*T2 - 71*T1^3*T2 - 275*T1^4*T2 + 136*T1^5*T2 - 367*T2^2 + 
     853*T1*T2^2 - 295*T1^2*T2^2 - 1371*T1^3*T2^2 + 1133*T1^4*T2^2 - 
     269*T1^5*T2^2 - 61*T1^6*T2^2 + 235*T2^3 - 71*T1*T2^3 - 1371*T1^2*T2^3 + 
     2818*T1^3*T2^3 - 1032*T1^4*T2^3 - 436*T1^5*T2^3 + 457*T1^6*T2^3 - 
     62*T1^7*T2^3 - 63*T2^4 - 275*T1*T2^4 + 1133*T1^2*T2^4 - 1032*T1^3*T2^4 - 
     1308*T1^4*T2^4 + 1960*T1^5*T2^4 - 917*T1^6*T2^4 + 55*T1^7*T2^4 + 
     45*T1^8*T2^4 + 136*T1*T2^5 - 269*T1^2*T2^5 - 436*T1^3*T2^5 + 
     1960*T1^4*T2^5 - 1890*T1^5*T2^5 + 499*T1^6*T2^5 + 259*T1^7*T2^5 - 
     161*T1^8*T2^5 - 61*T1^2*T2^6 + 457*T1^3*T2^6 - 917*T1^4*T2^6 + 
     499*T1^5*T2^6 + 511*T1^6*T2^6 - 665*T1^7*T2^6 + 245*T1^8*T2^6 - 
     62*T1^3*T2^7 + 55*T1^4*T2^7 + 259*T1^5*T2^7 - 665*T1^6*T2^7 + 
     517*T1^7*T2^7 - 161*T1^8*T2^7 + 45*T1^4*T2^8 - 161*T1^5*T2^8 + 
     245*T1^6*T2^8 - 161*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 334] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(-32 + 134*T1 - 196*T1^2 + 134*T1^3 - 32*T1^4 + 134*T2 - 554*T1*T2 + 
      769*T1^2*T2 - 479*T1^3*T2 + 86*T1^4*T2 + 6*T1^5*T2 - 196*T2^2 + 
      769*T1*T2^2 - 728*T1^2*T2^2 - 293*T1^3*T2^2 + 1020*T1^4*T2^2 - 
      703*T1^5*T2^2 + 172*T1^6*T2^2 + 134*T2^3 - 479*T1*T2^3 - 
      293*T1^2*T2^3 + 2374*T1^3*T2^3 - 2882*T1^4*T2^3 + 1179*T1^5*T2^3 + 
      321*T1^6*T2^3 - 250*T1^7*T2^3 - 32*T2^4 + 86*T1*T2^4 + 1020*T1^2*T2^4 - 
      2882*T1^3*T2^4 + 1602*T1^4*T2^4 + 1470*T1^5*T2^4 - 2340*T1^6*T2^4 + 
      598*T1^7*T2^4 + 96*T1^8*T2^4 + 6*T1*T2^5 - 703*T1^2*T2^5 + 
      1179*T1^3*T2^5 + 1470*T1^4*T2^5 - 3786*T1^5*T2^5 + 2651*T1^6*T2^5 + 
      97*T1^7*T2^5 - 378*T1^8*T2^5 + 172*T1^2*T2^6 + 321*T1^3*T2^6 - 
      2340*T1^4*T2^6 + 2651*T1^5*T2^6 - 592*T1^6*T2^6 - 1151*T1^7*T2^6 + 
      540*T1^8*T2^6 - 250*T1^3*T2^7 + 598*T1^4*T2^7 + 97*T1^5*T2^7 - 
      1151*T1^6*T2^7 + 1238*T1^7*T2^7 - 378*T1^8*T2^7 + 96*T1^4*T2^8 - 
      378*T1^5*T2^8 + 540*T1^6*T2^8 - 378*T1^7*T2^8 + 96*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 335] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 362*T1^2 + 443*T1^3 - 362*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1186*T1^2*T2 - 846*T1^3*T2 + 134*T1^4*T2 + 
     546*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 362*T2^2 + 1186*T1*T2^2 - 
     1033*T1^2*T2^2 - 1080*T1^3*T2^2 + 2417*T1^4*T2^2 - 2576*T1^5*T2^2 + 
     727*T1^6*T2^2 + 306*T1^7*T2^2 - 186*T1^8*T2^2 + 443*T2^3 - 846*T1*T2^3 - 
     1080*T1^2*T2^3 + 4626*T1^3*T2^3 - 4019*T1^4*T2^3 + 1577*T1^5*T2^3 + 
     2284*T1^6*T2^3 - 2004*T1^7*T2^3 + 334*T1^8*T2^3 + 119*T1^9*T2^3 - 
     362*T2^4 + 134*T1*T2^4 + 2417*T1^2*T2^4 - 4019*T1^3*T2^4 - 
     899*T1^4*T2^4 + 4665*T1^5*T2^4 - 6559*T1^6*T2^4 + 2029*T1^7*T2^4 + 
     889*T1^8*T2^4 - 546*T1^9*T2^4 - 10*T1^10*T2^4 + 165*T2^5 + 546*T1*T2^5 - 
     2576*T1^2*T2^5 + 1577*T1^3*T2^5 + 4665*T1^4*T2^5 - 5710*T1^5*T2^5 + 
     3476*T1^6*T2^5 + 2597*T1^7*T2^5 - 3115*T1^8*T2^5 + 636*T1^9*T2^5 + 
     226*T1^10*T2^5 - 35*T1^11*T2^5 - 33*T2^6 - 460*T1*T2^6 + 727*T1^2*T2^6 + 
     2284*T1^3*T2^6 - 6559*T1^4*T2^6 + 3476*T1^5*T2^6 + 1392*T1^6*T2^6 - 
     5220*T1^7*T2^6 + 2529*T1^8*T2^6 + 756*T1^9*T2^6 - 809*T1^10*T2^6 + 
     100*T1^11*T2^6 + 15*T1^12*T2^6 + 125*T1*T2^7 + 306*T1^2*T2^7 - 
     2004*T1^3*T2^7 + 2029*T1^4*T2^7 + 2597*T1^5*T2^7 - 5220*T1^6*T2^7 + 
     3966*T1^7*T2^7 + 529*T1^8*T2^7 - 2663*T1^9*T2^7 + 1208*T1^10*T2^7 - 
     14*T1^11*T2^7 - 75*T1^12*T2^7 - 186*T1^2*T2^8 + 334*T1^3*T2^8 + 
     889*T1^4*T2^8 - 3115*T1^5*T2^8 + 2529*T1^6*T2^8 + 529*T1^7*T2^8 - 
     3131*T1^8*T2^8 + 2933*T1^9*T2^8 - 639*T1^10*T2^8 - 346*T1^11*T2^8 + 
     166*T1^12*T2^8 + 119*T1^3*T2^9 - 546*T1^4*T2^9 + 636*T1^5*T2^9 + 
     756*T1^6*T2^9 - 2663*T1^7*T2^9 + 2933*T1^8*T2^9 - 1586*T1^9*T2^9 - 
     288*T1^10*T2^9 + 634*T1^11*T2^9 - 205*T1^12*T2^9 - 10*T1^4*T2^10 + 
     226*T1^5*T2^10 - 809*T1^6*T2^10 + 1208*T1^7*T2^10 - 639*T1^8*T2^10 - 
     288*T1^9*T2^10 + 951*T1^10*T2^10 - 654*T1^11*T2^10 + 166*T1^12*T2^10 - 
     35*T1^5*T2^11 + 100*T1^6*T2^11 - 14*T1^7*T2^11 - 346*T1^8*T2^11 + 
     634*T1^9*T2^11 - 654*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 
     15*T1^6*T2^12 - 75*T1^7*T2^12 + 166*T1^8*T2^12 - 205*T1^9*T2^12 + 
     166*T1^10*T2^12 - 75*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 336] -> 
  {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((-1 + 2*T1 - T1^3 + 2*T1^5 - T1^6 + 2*T2 - 4*T1*T2 + T1^2*T2 + T1^3*T2 - 
      T1^4*T2 - 3*T1^5*T2 + 2*T1^6*T2 + T1*T2^2 - 3*T1^2*T2^2 - 4*T1^3*T2^2 + 
      13*T1^4*T2^2 - 4*T1^5*T2^2 - 3*T1^6*T2^2 + T1^7*T2^2 - T2^3 + T1*T2^3 - 
      4*T1^2*T2^3 + 19*T1^3*T2^3 - 19*T1^4*T2^3 - 13*T1^5*T2^3 + 
      19*T1^6*T2^3 - 4*T1^7*T2^3 - 5*T1^8*T2^3 + 2*T1^9*T2^3 - T1*T2^4 + 
      13*T1^2*T2^4 - 19*T1^3*T2^4 + 8*T1^4*T2^4 + 18*T1^5*T2^4 - 
      4*T1^6*T2^4 - 15*T1^7*T2^4 + 21*T1^8*T2^4 - 5*T1^9*T2^4 + 2*T2^5 - 
      3*T1*T2^5 - 4*T1^2*T2^5 - 13*T1^3*T2^5 + 18*T1^4*T2^5 - 26*T1^5*T2^5 + 
      4*T1^6*T2^5 + 18*T1^7*T2^5 - 23*T1^8*T2^5 - 4*T1^9*T2^5 + 
      17*T1^10*T2^5 - 8*T1^11*T2^5 - T2^6 + 2*T1*T2^6 - 3*T1^2*T2^6 + 
      19*T1^3*T2^6 - 4*T1^4*T2^6 + 4*T1^5*T2^6 + 12*T1^6*T2^6 - 
      24*T1^7*T2^6 + 12*T1^8*T2^6 + 25*T1^9*T2^6 - 35*T1^10*T2^6 + 
      6*T1^11*T2^6 + 5*T1^12*T2^6 + T1^2*T2^7 - 4*T1^3*T2^7 - 15*T1^4*T2^7 + 
      18*T1^5*T2^7 - 24*T1^6*T2^7 + 6*T1^7*T2^7 + 18*T1^8*T2^7 - 
      25*T1^9*T2^7 - 4*T1^10*T2^7 + 21*T1^11*T2^7 - 10*T1^12*T2^7 - 
      5*T1^3*T2^8 + 21*T1^4*T2^8 - 23*T1^5*T2^8 + 12*T1^6*T2^8 + 
      18*T1^7*T2^8 - 19*T1^9*T2^8 + 29*T1^10*T2^8 - 9*T1^11*T2^8 + 
      2*T1^3*T2^9 - 5*T1^4*T2^9 - 4*T1^5*T2^9 + 25*T1^6*T2^9 - 25*T1^7*T2^9 - 
      19*T1^8*T2^9 + 25*T1^9*T2^9 - 4*T1^10*T2^9 - 11*T1^11*T2^9 + 
      5*T1^12*T2^9 + 17*T1^5*T2^10 - 35*T1^6*T2^10 - 4*T1^7*T2^10 + 
      29*T1^8*T2^10 - 4*T1^9*T2^10 - 35*T1^10*T2^10 + 17*T1^11*T2^10 - 
      8*T1^5*T2^11 + 6*T1^6*T2^11 + 21*T1^7*T2^11 - 9*T1^8*T2^11 - 
      11*T1^9*T2^11 + 17*T1^10*T2^11 + 12*T1^11*T2^11 - 10*T1^12*T2^11 + 
      5*T1^6*T2^12 - 10*T1^7*T2^12 + 5*T1^9*T2^12 - 10*T1^11*T2^12 + 
      5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 337] -> 
  {(1 - 9*T + 25*T^2 - 33*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 50*T1^2 + 66*T1^3 - 50*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 369*T1^2*T2 - 369*T1^3*T2 + 153*T1^4*T2 + 63*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 50*T2^2 + 369*T1*T2^2 - 498*T1^2*T2^2 - 
     464*T1^3*T2^2 + 1550*T1^4*T2^2 - 1664*T1^5*T2^2 + 702*T1^6*T2^2 - 
     81*T1^7*T2^2 + 66*T2^3 - 369*T1*T2^3 - 464*T1^2*T2^3 + 3654*T1^3*T2^3 - 
     5602*T1^4*T2^3 + 4082*T1^5*T2^3 - 630*T1^6*T2^3 - 689*T1^7*T2^3 + 
     297*T1^8*T2^3 - 33*T1^9*T2^3 - 50*T2^4 + 153*T1*T2^4 + 1550*T1^2*T2^4 - 
     5602*T1^3*T2^4 + 5532*T1^4*T2^4 + 550*T1^5*T2^4 - 6324*T1^6*T2^4 + 
     5354*T1^7*T2^4 - 1296*T1^8*T2^4 - 153*T1^9*T2^4 + 50*T1^10*T2^4 + 
     18*T2^5 + 63*T1*T2^5 - 1664*T1^2*T2^5 + 4082*T1^3*T2^5 + 550*T1^4*T2^5 - 
     11207*T1^5*T2^5 + 14143*T1^6*T2^5 - 5675*T1^7*T2^5 - 3058*T1^8*T2^5 + 
     2461*T1^9*T2^5 - 207*T1^10*T2^5 - 27*T1^11*T2^5 - 2*T2^6 - 63*T1*T2^6 + 
     702*T1^2*T2^6 - 630*T1^3*T2^6 - 6324*T1^4*T2^6 + 14143*T1^5*T2^6 - 
     6444*T1^6*T2^6 - 8135*T1^7*T2^6 + 13134*T1^8*T2^6 - 3978*T1^9*T2^6 - 
     814*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 9*T1*T2^7 - 
     81*T1^2*T2^7 - 689*T1^3*T2^7 + 5354*T1^4*T2^7 - 5675*T1^5*T2^7 - 
     8135*T1^6*T2^7 + 17215*T1^7*T2^7 - 11900*T1^8*T2^7 - 1786*T1^9*T2^7 + 
     3436*T1^10*T2^7 - 351*T1^11*T2^7 - 36*T1^12*T2^7 + 297*T1^3*T2^8 - 
     1296*T1^4*T2^8 - 3058*T1^5*T2^8 + 13134*T1^6*T2^8 - 11900*T1^7*T2^8 + 
     1278*T1^8*T2^8 + 7898*T1^9*T2^8 - 4142*T1^10*T2^8 - 9*T1^11*T2^8 + 
     100*T1^12*T2^8 - 33*T1^3*T2^9 - 153*T1^4*T2^9 + 2461*T1^5*T2^9 - 
     3978*T1^6*T2^9 - 1786*T1^7*T2^9 + 7898*T1^8*T2^9 - 8262*T1^9*T2^9 + 
     2236*T1^10*T2^9 + 513*T1^11*T2^9 - 132*T1^12*T2^9 + 50*T1^4*T2^10 - 
     207*T1^5*T2^10 - 814*T1^6*T2^10 + 3436*T1^7*T2^10 - 4142*T1^8*T2^10 + 
     2236*T1^9*T2^10 + 386*T1^10*T2^10 - 657*T1^11*T2^10 + 100*T1^12*T2^10 - 
     27*T1^5*T2^11 + 207*T1^6*T2^11 - 351*T1^7*T2^11 - 9*T1^8*T2^11 + 
     513*T1^9*T2^11 - 657*T1^10*T2^11 + 297*T1^11*T2^11 - 36*T1^12*T2^11 + 
     4*T1^6*T2^12 - 36*T1^7*T2^12 + 100*T1^8*T2^12 - 132*T1^9*T2^12 + 
     100*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 338] -> 
  {(2 - 4*T + 4*T^2 - 2*T^3 + T^4 - 2*T^5 + 4*T^6 - 4*T^7 + 2*T^8)/T^4, 
   -((65 - 129*T1 + 128*T1^2 - 62*T1^3 + 29*T1^4 - 62*T1^5 + 128*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 31*T1^2*T2 - 98*T1^3*T2 + 
      49*T1^4*T2 + 73*T1^5*T2 - 146*T1^6*T2 + 33*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 128*T2^2 - 31*T1*T2^2 - 102*T1^2*T2^2 + 137*T1^3*T2^2 + 
      24*T1^4*T2^2 - 106*T1^5*T2^2 + 72*T1^6*T2^2 + 105*T1^7*T2^2 - 
      134*T1^8*T2^2 + 33*T1^9*T2^2 + 96*T1^10*T2^2 - 62*T2^3 - 98*T1*T2^3 + 
      137*T1^2*T2^3 - 50*T1^3*T2^3 - 105*T1^4*T2^3 + 63*T1^5*T2^3 + 
      39*T1^6*T2^3 - 141*T1^7*T2^3 + 30*T1^8*T2^3 + 89*T1^9*T2^3 - 
      114*T1^10*T2^3 - 38*T1^11*T2^3 + 29*T2^4 + 49*T1*T2^4 + 24*T1^2*T2^4 - 
      105*T1^3*T2^4 + 134*T1^4*T2^4 - 28*T1^5*T2^4 - 18*T1^6*T2^4 + 
      4*T1^7*T2^4 + 110*T1^8*T2^4 - 121*T1^9*T2^4 + 56*T1^10*T2^4 + 
      49*T1^11*T2^4 + 13*T1^12*T2^4 - 62*T2^5 + 73*T1*T2^5 - 106*T1^2*T2^5 + 
      63*T1^3*T2^5 - 28*T1^4*T2^5 - 46*T1^6*T2^5 + 66*T1^7*T2^5 - 
      68*T1^8*T2^5 + 8*T1^9*T2^5 + 23*T1^10*T2^5 - 58*T1^11*T2^5 + 
      17*T1^12*T2^5 - 22*T1^13*T2^5 + 128*T2^6 - 146*T1*T2^6 + 72*T1^2*T2^6 + 
      39*T1^3*T2^6 - 18*T1^4*T2^6 - 46*T1^5*T2^6 + 89*T1^6*T2^6 - 
      19*T1^7*T2^6 - 47*T1^8*T2^6 + 66*T1^9*T2^6 - 18*T1^10*T2^6 + 
      39*T1^11*T2^6 - 8*T1^12*T2^6 - 18*T1^13*T2^6 + 32*T1^14*T2^6 - 
      129*T2^7 + 33*T1*T2^7 + 105*T1^2*T2^7 - 141*T1^3*T2^7 + 4*T1^4*T2^7 + 
      66*T1^5*T2^7 - 19*T1^6*T2^7 - 88*T1^7*T2^7 + 78*T1^8*T2^7 - 
      7*T1^9*T2^7 - 46*T1^10*T2^7 - 16*T1^11*T2^7 - 25*T1^12*T2^7 + 
      57*T1^13*T2^7 - 31*T1^14*T2^7 - 17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 
      134*T1^2*T2^8 + 30*T1^3*T2^8 + 110*T1^4*T2^8 - 68*T1^5*T2^8 - 
      47*T1^6*T2^8 + 78*T1^7*T2^8 + 24*T1^8*T2^8 - 90*T1^9*T2^8 + 
      65*T1^10*T2^8 + 12*T1^11*T2^8 + 46*T1^12*T2^8 - 50*T1^13*T2^8 - 
      6*T1^14*T2^8 + 32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 + 
      33*T1^2*T2^9 + 89*T1^3*T2^9 - 121*T1^4*T2^9 + 8*T1^5*T2^9 + 
      66*T1^6*T2^9 - 7*T1^7*T2^9 - 90*T1^8*T2^9 + 76*T1^9*T2^9 + 
      5*T1^10*T2^9 - 46*T1^11*T2^9 - 12*T1^12*T2^9 - 5*T1^13*T2^9 + 
      41*T1^14*T2^9 - 31*T1^15*T2^9 - T1^16*T2^9 + 96*T1^2*T2^10 - 
      114*T1^3*T2^10 + 56*T1^4*T2^10 + 23*T1^5*T2^10 - 18*T1^6*T2^10 - 
      46*T1^7*T2^10 + 65*T1^8*T2^10 + 5*T1^9*T2^10 - 71*T1^10*T2^10 + 
      66*T1^11*T2^10 - 18*T1^12*T2^10 + 23*T1^13*T2^10 - 24*T1^14*T2^10 + 
      14*T1^15*T2^10 - 38*T1^3*T2^11 + 49*T1^4*T2^11 - 58*T1^5*T2^11 + 
      39*T1^6*T2^11 - 16*T1^7*T2^11 + 12*T1^8*T2^11 - 46*T1^9*T2^11 + 
      66*T1^10*T2^11 - 56*T1^11*T2^11 + 20*T1^12*T2^11 - T1^13*T2^11 - 
      10*T1^14*T2^11 - 7*T1^15*T2^11 + 2*T1^16*T2^11 + 13*T1^4*T2^12 + 
      17*T1^5*T2^12 - 8*T1^6*T2^12 - 25*T1^7*T2^12 + 46*T1^8*T2^12 - 
      12*T1^9*T2^12 - 18*T1^10*T2^12 + 20*T1^11*T2^12 + 22*T1^12*T2^12 - 
      41*T1^13*T2^12 + 24*T1^14*T2^12 + 17*T1^15*T2^12 - 3*T1^16*T2^12 - 
      22*T1^5*T2^13 - 18*T1^6*T2^13 + 57*T1^7*T2^13 - 50*T1^8*T2^13 - 
      5*T1^9*T2^13 + 23*T1^10*T2^13 - T1^11*T2^13 - 41*T1^12*T2^13 + 
      30*T1^13*T2^13 + 9*T1^14*T2^13 - 34*T1^15*T2^13 + 2*T1^16*T2^13 + 
      32*T1^6*T2^14 - 31*T1^7*T2^14 - 6*T1^8*T2^14 + 41*T1^9*T2^14 - 
      24*T1^10*T2^14 - 10*T1^11*T2^14 + 24*T1^12*T2^14 + 9*T1^13*T2^14 - 
      38*T1^14*T2^14 + 33*T1^15*T2^14 - 17*T1^7*T2^15 + 32*T1^8*T2^15 - 
      31*T1^9*T2^15 + 14*T1^10*T2^15 - 7*T1^11*T2^15 + 17*T1^12*T2^15 - 
      34*T1^13*T2^15 + 33*T1^14*T2^15 - 16*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 + 2*T1^11*T2^16 - 3*T1^12*T2^16 + 
      2*T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 339] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-111 + 405*T1 - 769*T1^2 + 913*T1^3 - 769*T1^4 + 405*T1^5 - 111*T1^6 + 
     405*T2 - 1173*T1*T2 + 1695*T1^2*T2 - 1221*T1^3*T2 + 297*T1^4*T2 + 
     639*T1^5*T2 - 711*T1^6*T2 + 306*T1^7*T2 - 769*T2^2 + 1695*T1*T2^2 - 
     1651*T1^2*T2^2 - 13*T1^3*T2^2 + 1225*T1^4*T2^2 - 1777*T1^5*T2^2 + 
     617*T1^6*T2^2 + 309*T1^7*T2^2 - 391*T1^8*T2^2 + 913*T2^3 - 
     1221*T1*T2^3 - 13*T1^2*T2^3 + 2336*T1^3*T2^3 - 2225*T1^4*T2^3 + 
     1201*T1^5*T2^3 + 1244*T1^6*T2^3 - 1504*T1^7*T2^3 + 561*T1^8*T2^3 + 
     238*T1^9*T2^3 - 769*T2^4 + 297*T1*T2^4 + 1225*T1^2*T2^4 - 
     2225*T1^3*T2^4 - 290*T1^4*T2^4 + 2048*T1^5*T2^4 - 3454*T1^6*T2^4 + 
     1375*T1^7*T2^4 + 467*T1^8*T2^4 - 825*T1^9*T2^4 - 13*T1^10*T2^4 + 
     405*T2^5 + 639*T1*T2^5 - 1777*T1^2*T2^5 + 1201*T1^3*T2^5 + 
     2048*T1^4*T2^5 - 2503*T1^5*T2^5 + 1781*T1^6*T2^5 + 1187*T1^7*T2^5 - 
     1877*T1^8*T2^5 + 806*T1^9*T2^5 + 375*T1^10*T2^5 - 90*T1^11*T2^5 - 
     111*T2^6 - 711*T1*T2^6 + 617*T1^2*T2^6 + 1244*T1^3*T2^6 - 
     3454*T1^4*T2^6 + 1781*T1^5*T2^6 + 456*T1^6*T2^6 - 2449*T1^7*T2^6 + 
     1456*T1^8*T2^6 + 356*T1^9*T2^6 - 927*T1^10*T2^6 + 147*T1^11*T2^6 + 
     51*T1^12*T2^6 + 306*T1*T2^7 + 309*T1^2*T2^7 - 1504*T1^3*T2^7 + 
     1375*T1^4*T2^7 + 1187*T1^5*T2^7 - 2449*T1^6*T2^7 + 1835*T1^7*T2^7 + 
     326*T1^8*T2^7 - 1703*T1^9*T2^7 + 1079*T1^10*T2^7 + 45*T1^11*T2^7 - 
     189*T1^12*T2^7 - 391*T1^2*T2^8 + 561*T1^3*T2^8 + 467*T1^4*T2^8 - 
     1877*T1^5*T2^8 + 1456*T1^6*T2^8 + 326*T1^7*T2^8 - 1708*T1^8*T2^8 + 
     1723*T1^9*T2^8 - 291*T1^10*T2^8 - 561*T1^11*T2^8 + 365*T1^12*T2^8 + 
     238*T1^3*T2^9 - 825*T1^4*T2^9 + 806*T1^5*T2^9 + 356*T1^6*T2^9 - 
     1703*T1^7*T2^9 + 1723*T1^8*T2^9 - 736*T1^9*T2^9 - 685*T1^10*T2^9 + 
     957*T1^11*T2^9 - 437*T1^12*T2^9 - 13*T1^4*T2^10 + 375*T1^5*T2^10 - 
     927*T1^6*T2^10 + 1079*T1^7*T2^10 - 291*T1^8*T2^10 - 685*T1^9*T2^10 + 
     1341*T1^10*T2^10 - 1011*T1^11*T2^10 + 365*T1^12*T2^10 - 90*T1^5*T2^11 + 
     147*T1^6*T2^11 + 45*T1^7*T2^11 - 561*T1^8*T2^11 + 957*T1^9*T2^11 - 
     1011*T1^10*T2^11 + 609*T1^11*T2^11 - 189*T1^12*T2^11 + 51*T1^6*T2^12 - 
     189*T1^7*T2^12 + 365*T1^8*T2^12 - 437*T1^9*T2^12 + 365*T1^10*T2^12 - 
     189*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 340] -> 
  {-((1 - 3*T + 3*T^2 - 3*T^3 + 3*T^4 - 3*T^5 + T^6)/T^3), 
   -((-3 + 9*T1 - 9*T1^2 + 9*T1^3 - 9*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 9*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 9*T1^5*T2 - 9*T1^6*T2 + 
      6*T1^7*T2 - 9*T2^2 + 9*T1*T2^2 + 24*T1^2*T2^2 - 18*T1^3*T2^2 + 
      18*T1^4*T2^2 - 18*T1^5*T2^2 + 36*T1^6*T2^2 - 9*T1^7*T2^2 - 
      3*T1^8*T2^2 + 9*T2^3 - 9*T1*T2^3 - 18*T1^2*T2^3 - 4*T1^3*T2^3 - 
      T1^4*T2^3 - T1^5*T2^3 - 22*T1^6*T2^3 - 9*T1^7*T2^3 + 9*T1^8*T2^3 - 
      9*T2^4 + 9*T1*T2^4 + 18*T1^2*T2^4 - T1^3*T2^4 + 42*T1^4*T2^4 - 
      40*T1^5*T2^4 + 66*T1^6*T2^4 - T1^7*T2^4 - 9*T1^9*T2^4 + 3*T1^10*T2^4 + 
      9*T2^5 - 9*T1*T2^5 - 18*T1^2*T2^5 - T1^3*T2^5 - 40*T1^4*T2^5 + 
      7*T1^5*T2^5 - 41*T1^6*T2^5 - 31*T1^7*T2^5 - T1^8*T2^5 + 9*T1^9*T2^5 + 
      9*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 36*T1^2*T2^6 - 
      22*T1^3*T2^6 + 66*T1^4*T2^6 - 41*T1^5*T2^6 + 72*T1^6*T2^6 + 
      13*T1^7*T2^6 + 12*T1^8*T2^6 + 14*T1^9*T2^6 - 36*T1^10*T2^6 + 
      9*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 9*T1^2*T2^7 - 9*T1^3*T2^7 - 
      T1^4*T2^7 - 31*T1^5*T2^7 + 13*T1^6*T2^7 - 35*T1^7*T2^7 - 22*T1^8*T2^7 - 
      T1^9*T2^7 + 18*T1^10*T2^7 + 9*T1^11*T2^7 - 9*T1^12*T2^7 - 3*T1^2*T2^8 + 
      9*T1^3*T2^8 - T1^5*T2^8 + 12*T1^6*T2^8 - 22*T1^7*T2^8 + 36*T1^8*T2^8 - 
      T1^9*T2^8 - 18*T1^10*T2^8 - 9*T1^11*T2^8 + 9*T1^12*T2^8 - 9*T1^4*T2^9 + 
      9*T1^5*T2^9 + 14*T1^6*T2^9 - T1^7*T2^9 - T1^8*T2^9 - 4*T1^9*T2^9 + 
      18*T1^10*T2^9 + 9*T1^11*T2^9 - 9*T1^12*T2^9 + 3*T1^4*T2^10 + 
      9*T1^5*T2^10 - 36*T1^6*T2^10 + 18*T1^7*T2^10 - 18*T1^8*T2^10 + 
      18*T1^9*T2^10 - 24*T1^10*T2^10 - 9*T1^11*T2^10 + 9*T1^12*T2^10 - 
      6*T1^5*T2^11 + 9*T1^6*T2^11 + 9*T1^7*T2^11 - 9*T1^8*T2^11 + 
      9*T1^9*T2^11 - 9*T1^10*T2^11 + 21*T1^11*T2^11 - 9*T1^12*T2^11 + 
      3*T1^6*T2^12 - 9*T1^7*T2^12 + 9*T1^8*T2^12 - 9*T1^9*T2^12 + 
      9*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 341] -> 
  {(4 - 10*T + 13*T^2 - 13*T^3 + 13*T^4 - 10*T^5 + 4*T^6)/T^3, 
   -((400 - 988*T1 + 1272*T1^2 - 1264*T1^3 + 1272*T1^4 - 988*T1^5 + 
      400*T1^6 - 988*T2 + 1622*T1*T2 - 1114*T1^2*T2 + 506*T1^3*T2 - 
      534*T1^4*T2 - 194*T1^5*T2 + 1062*T1^6*T2 - 828*T1^7*T2 + 1272*T2^2 - 
      1114*T1*T2^2 - 197*T1^2*T2^2 + 518*T1^3*T2^2 + 95*T1^4*T2^2 + 
      830*T1^5*T2^2 - 1133*T1^6*T2^2 - 74*T1^7*T2^2 + 856*T1^8*T2^2 - 
      1264*T2^3 + 506*T1*T2^3 + 518*T1^2*T2^3 - 26*T1^3*T2^3 - 
      714*T1^4*T2^3 - 506*T1^5*T2^3 + 312*T1^6*T2^3 + 726*T1^7*T2^3 - 
      534*T1^8*T2^3 - 640*T1^9*T2^3 + 1272*T2^4 - 534*T1*T2^4 + 
      95*T1^2*T2^4 - 714*T1^3*T2^4 + 980*T1^4*T2^4 + 418*T1^5*T2^4 - 
      112*T1^6*T2^4 - 350*T1^7*T2^4 - 9*T1^8*T2^4 + 506*T1^9*T2^4 + 
      440*T1^10*T2^4 - 988*T2^5 - 194*T1*T2^5 + 830*T1^2*T2^5 - 
      506*T1^3*T2^5 + 418*T1^4*T2^5 - 1335*T1^5*T2^5 + 441*T1^6*T2^5 + 
      275*T1^7*T2^5 - 402*T1^8*T2^5 + 206*T1^9*T2^5 - 634*T1^10*T2^5 - 
      188*T1^11*T2^5 + 400*T2^6 + 1062*T1*T2^6 - 1133*T1^2*T2^6 + 
      312*T1^3*T2^6 - 112*T1^4*T2^6 + 441*T1^5*T2^6 + 816*T1^6*T2^6 - 
      1185*T1^7*T2^6 + 798*T1^8*T2^6 - 260*T1^9*T2^6 + 267*T1^10*T2^6 + 
      422*T1^11*T2^6 + 16*T1^12*T2^6 - 828*T1*T2^7 - 74*T1^2*T2^7 + 
      726*T1^3*T2^7 - 350*T1^4*T2^7 + 275*T1^5*T2^7 - 1185*T1^6*T2^7 + 
      591*T1^7*T2^7 + 132*T1^8*T2^7 - 246*T1^9*T2^7 + 102*T1^10*T2^7 - 
      514*T1^11*T2^7 - 28*T1^12*T2^7 + 856*T1^2*T2^8 - 534*T1^3*T2^8 - 
      9*T1^4*T2^8 - 402*T1^5*T2^8 + 798*T1^6*T2^8 + 132*T1^7*T2^8 - 
      294*T1^8*T2^8 - 38*T1^9*T2^8 - 113*T1^10*T2^8 + 506*T1^11*T2^8 + 
      24*T1^12*T2^8 - 640*T1^3*T2^9 + 506*T1^4*T2^9 + 206*T1^5*T2^9 - 
      260*T1^6*T2^9 - 246*T1^7*T2^9 - 38*T1^8*T2^9 + 78*T1^9*T2^9 + 
      414*T1^10*T2^9 - 534*T1^11*T2^9 - 16*T1^12*T2^9 + 440*T1^4*T2^10 - 
      634*T1^5*T2^10 + 267*T1^6*T2^10 + 102*T1^7*T2^10 - 113*T1^8*T2^10 + 
      414*T1^9*T2^10 - 669*T1^10*T2^10 + 406*T1^11*T2^10 + 24*T1^12*T2^10 - 
      188*T1^5*T2^11 + 422*T1^6*T2^11 - 514*T1^7*T2^11 + 506*T1^8*T2^11 - 
      534*T1^9*T2^11 + 406*T1^10*T2^11 - 138*T1^11*T2^11 - 28*T1^12*T2^11 + 
      16*T1^6*T2^12 - 28*T1^7*T2^12 + 24*T1^8*T2^12 - 16*T1^9*T2^12 + 
      24*T1^10*T2^12 - 28*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 342] -> 
  {(4 - 13*T + 19*T^2 - 13*T^3 + 4*T^4)/T^2, 
   (-152 + 491*T1 - 718*T1^2 + 491*T1^3 - 152*T1^4 + 491*T2 - 1298*T1*T2 + 
     1406*T1^2*T2 - 258*T1^3*T2 - 414*T1^4*T2 + 283*T1^5*T2 - 718*T2^2 + 
     1406*T1*T2^2 - 649*T1^2*T2^2 - 1495*T1^3*T2^2 + 1631*T1^4*T2^2 - 
     570*T1^5*T2^2 - 110*T1^6*T2^2 + 491*T2^3 - 258*T1*T2^3 - 
     1495*T1^2*T2^3 + 3397*T1^3*T2^3 - 1855*T1^4*T2^3 - 260*T1^5*T2^3 + 
     782*T1^6*T2^3 - 133*T1^7*T2^3 - 152*T2^4 - 414*T1*T2^4 + 
     1631*T1^2*T2^4 - 1855*T1^3*T2^4 - 720*T1^4*T2^4 + 2383*T1^5*T2^4 - 
     1547*T1^6*T2^4 + 106*T1^7*T2^4 + 104*T1^8*T2^4 + 283*T1*T2^5 - 
     570*T1^2*T2^5 - 260*T1^3*T2^5 + 2383*T1^4*T2^5 - 2869*T1^5*T2^5 + 
     975*T1^6*T2^5 + 470*T1^7*T2^5 - 341*T1^8*T2^5 - 110*T1^2*T2^6 + 
     782*T1^3*T2^6 - 1547*T1^4*T2^6 + 975*T1^5*T2^6 + 733*T1^6*T2^6 - 
     1194*T1^7*T2^6 + 498*T1^8*T2^6 - 133*T1^3*T2^7 + 106*T1^4*T2^7 + 
     470*T1^5*T2^7 - 1194*T1^6*T2^7 + 990*T1^7*T2^7 - 341*T1^8*T2^7 + 
     104*T1^4*T2^8 - 341*T1^5*T2^8 + 498*T1^6*T2^8 - 341*T1^7*T2^8 + 
     104*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 343] -> 
  {-((4 - 15*T + 21*T^2 - 15*T^3 + 4*T^4)/T^2), 
   -((-216 + 797*T1 - 1106*T1^2 + 797*T1^3 - 216*T1^4 + 797*T2 - 2388*T1*T2 + 
      2044*T1^2*T2 - 116*T1^3*T2 - 1248*T1^4*T2 + 557*T1^5*T2 - 1106*T2^2 + 
      2044*T1*T2^2 + 1415*T1^2*T2^2 - 4775*T1^3*T2^2 + 4271*T1^4*T2^2 - 
      476*T1^5*T2^2 - 434*T1^6*T2^2 + 797*T2^3 - 116*T1*T2^3 - 
      4775*T1^2*T2^3 + 5901*T1^3*T2^3 - 2019*T1^4*T2^3 - 2570*T1^5*T2^3 + 
      1324*T1^6*T2^3 + 77*T1^7*T2^3 - 216*T2^4 - 1248*T1*T2^4 + 
      4271*T1^2*T2^4 - 2019*T1^3*T2^4 - 2736*T1^4*T2^4 + 4671*T1^5*T2^4 - 
      1135*T1^6*T2^4 - 408*T1^7*T2^4 + 40*T1^8*T2^4 + 557*T1*T2^5 - 
      476*T1^2*T2^5 - 2570*T1^3*T2^5 + 4671*T1^4*T2^5 - 3249*T1^5*T2^5 - 
      365*T1^6*T2^5 + 964*T1^7*T2^5 - 163*T1^8*T2^5 - 434*T1^2*T2^6 + 
      1324*T1^3*T2^6 - 1135*T1^4*T2^6 - 365*T1^5*T2^6 + 1721*T1^6*T2^6 - 
      1196*T1^7*T2^6 + 238*T1^8*T2^6 + 77*T1^3*T2^7 - 408*T1^4*T2^7 + 
      964*T1^5*T2^7 - 1196*T1^6*T2^7 + 732*T1^7*T2^7 - 163*T1^8*T2^7 + 
      40*T1^4*T2^8 - 163*T1^5*T2^8 + 238*T1^6*T2^8 - 163*T1^7*T2^8 + 
      40*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 344] -> 
  {(1 - 4*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 20*T1^2 + 30*T1^3 - 34*T1^4 + 30*T1^5 - 20*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 64*T1^2*T2 - 80*T1^3*T2 + 76*T1^4*T2 - 
     52*T1^5*T2 + 20*T1^6*T2 + 8*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 20*T2^2 + 
     64*T1*T2^2 - 132*T1^2*T2^2 + 131*T1^3*T2^2 - 87*T1^4*T2^2 + 
     14*T1^5*T2^2 + 53*T1^6*T2^2 - 89*T1^7*T2^2 + 48*T1^8*T2^2 - 
     16*T1^9*T2^2 + 30*T2^3 - 80*T1*T2^3 + 131*T1^2*T2^3 - 53*T1^3*T2^3 - 
     40*T1^4*T2^3 + 83*T1^5*T2^3 - 72*T1^6*T2^3 + 15*T1^7*T2^3 + 
     107*T1^8*T2^3 - 119*T1^9*T2^3 + 60*T1^10*T2^3 - 15*T1^11*T2^3 - 
     34*T2^4 + 76*T1*T2^4 - 87*T1^2*T2^4 - 40*T1^3*T2^4 + 122*T1^4*T2^4 - 
     52*T1^5*T2^4 + 8*T1^6*T2^4 + 40*T1^7*T2^4 - 110*T1^8*T2^4 + 
     20*T1^9*T2^4 + 113*T1^10*T2^4 - 76*T1^11*T2^4 + 34*T1^12*T2^4 + 
     30*T2^5 - 52*T1*T2^5 + 14*T1^2*T2^5 + 83*T1^3*T2^5 - 52*T1^4*T2^5 - 
     269*T1^5*T2^5 + 337*T1^6*T2^5 - 413*T1^7*T2^5 + 397*T1^8*T2^5 - 
     163*T1^9*T2^5 - 82*T1^10*T2^5 - 70*T1^11*T2^5 + 44*T1^12*T2^5 - 
     45*T1^13*T2^5 - 20*T2^6 + 20*T1*T2^6 + 53*T1^2*T2^6 - 72*T1^3*T2^6 + 
     8*T1^4*T2^6 + 337*T1^5*T2^6 - 38*T1^6*T2^6 - 30*T1^7*T2^6 + 
     242*T1^8*T2^6 - 463*T1^9*T2^6 + 488*T1^10*T2^6 + 68*T1^11*T2^6 + 
     33*T1^12*T2^6 + 20*T1^13*T2^6 + 40*T1^14*T2^6 + 8*T2^7 + 8*T1*T2^7 - 
     89*T1^2*T2^7 + 15*T1^3*T2^7 + 40*T1^4*T2^7 - 413*T1^5*T2^7 - 
     30*T1^6*T2^7 - 257*T1^7*T2^7 + 173*T1^8*T2^7 - 185*T1^9*T2^7 + 
     237*T1^10*T2^7 - 661*T1^11*T2^7 - 20*T1^12*T2^7 - 19*T1^13*T2^7 - 
     80*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 48*T1^2*T2^8 + 
     107*T1^3*T2^8 - 110*T1^4*T2^8 + 397*T1^5*T2^8 + 242*T1^6*T2^8 + 
     173*T1^7*T2^8 + 192*T1^8*T2^8 - 245*T1^9*T2^8 + 332*T1^10*T2^8 - 
     41*T1^11*T2^8 + 786*T1^12*T2^8 - 203*T1^13*T2^8 + 144*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 
     119*T1^3*T2^9 + 20*T1^4*T2^9 - 163*T1^5*T2^9 - 463*T1^6*T2^9 - 
     185*T1^7*T2^9 - 245*T1^8*T2^9 + 185*T1^9*T2^9 - 340*T1^10*T2^9 + 
     187*T1^11*T2^9 - 864*T1^12*T2^9 - 15*T1^13*T2^9 - 49*T1^14*T2^9 - 
     104*T1^15*T2^9 - 24*T1^16*T2^9 + 60*T1^3*T2^10 + 113*T1^4*T2^10 - 
     82*T1^5*T2^10 + 488*T1^6*T2^10 + 237*T1^7*T2^10 + 332*T1^8*T2^10 - 
     340*T1^9*T2^10 + 612*T1^10*T2^10 - 563*T1^11*T2^10 + 968*T1^12*T2^10 + 
     58*T1^13*T2^10 + 93*T1^14*T2^10 + 60*T1^15*T2^10 + 60*T1^16*T2^10 - 
     15*T1^3*T2^11 - 76*T1^4*T2^11 - 70*T1^5*T2^11 + 68*T1^6*T2^11 - 
     661*T1^7*T2^11 - 41*T1^8*T2^11 + 187*T1^9*T2^11 - 563*T1^10*T2^11 + 
     625*T1^11*T2^11 - 772*T1^12*T2^11 - 97*T1^13*T2^11 - 154*T1^14*T2^11 + 
     20*T1^15*T2^11 - 90*T1^16*T2^11 + 34*T1^4*T2^12 + 44*T1^5*T2^12 + 
     33*T1^6*T2^12 - 20*T1^7*T2^12 + 786*T1^8*T2^12 - 864*T1^9*T2^12 + 
     968*T1^10*T2^12 - 772*T1^11*T2^12 + 554*T1^12*T2^12 + 40*T1^13*T2^12 + 
     233*T1^14*T2^12 - 108*T1^15*T2^12 + 102*T1^16*T2^12 - 45*T1^5*T2^13 + 
     20*T1^6*T2^13 - 19*T1^7*T2^13 - 203*T1^8*T2^13 - 15*T1^9*T2^13 + 
     58*T1^10*T2^13 - 97*T1^11*T2^13 + 40*T1^12*T2^13 - 43*T1^13*T2^13 - 
     269*T1^14*T2^13 + 160*T1^15*T2^13 - 90*T1^16*T2^13 + 40*T1^6*T2^14 - 
     80*T1^7*T2^14 + 144*T1^8*T2^14 - 49*T1^9*T2^14 + 93*T1^10*T2^14 - 
     154*T1^11*T2^14 + 233*T1^12*T2^14 - 269*T1^13*T2^14 + 324*T1^14*T2^14 - 
     160*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 56*T1^8*T2^15 - 
     104*T1^9*T2^15 + 60*T1^10*T2^15 + 20*T1^11*T2^15 - 108*T1^12*T2^15 + 
     160*T1^13*T2^15 - 160*T1^14*T2^15 + 76*T1^15*T2^15 - 24*T1^16*T2^15 + 
     6*T1^8*T2^16 - 24*T1^9*T2^16 + 60*T1^10*T2^16 - 90*T1^11*T2^16 + 
     102*T1^12*T2^16 - 90*T1^13*T2^16 + 60*T1^14*T2^16 - 24*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 345] -> 
  {-((1 - 4*T + 8*T^2 - 13*T^3 + 15*T^4 - 13*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 40*T1^2 + 65*T1^3 - 75*T1^4 + 65*T1^5 - 40*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 96*T1^2*T2 - 132*T1^3*T2 + 
      92*T1^4*T2 - 20*T1^5*T2 - 48*T1^6*T2 + 48*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 40*T2^2 + 96*T1*T2^2 - 88*T1^2*T2^2 + 106*T1^3*T2^2 + 
      35*T1^4*T2^2 - 122*T1^5*T2^2 + 147*T1^6*T2^2 - 38*T1^7*T2^2 + 
      24*T1^8*T2^2 + 32*T1^9*T2^2 - 24*T1^10*T2^2 + 65*T2^3 - 132*T1*T2^3 + 
      106*T1^2*T2^3 - 195*T1^3*T2^3 - 6*T1^4*T2^3 + 27*T1^5*T2^3 - 
      50*T1^6*T2^3 - 75*T1^7*T2^3 - 33*T1^8*T2^3 - 46*T1^9*T2^3 - 
      8*T1^10*T2^3 + 26*T1^11*T2^3 - 75*T2^4 + 92*T1*T2^4 + 35*T1^2*T2^4 - 
      6*T1^3*T2^4 + 475*T1^4*T2^4 - 501*T1^5*T2^4 + 559*T1^6*T2^4 - 
      313*T1^7*T2^4 + 379*T1^8*T2^4 - 58*T1^9*T2^4 + 99*T1^10*T2^4 - 
      44*T1^11*T2^4 - 15*T1^12*T2^4 + 65*T2^5 - 20*T1*T2^5 - 122*T1^2*T2^5 + 
      27*T1^3*T2^5 - 501*T1^4*T2^5 + 195*T1^5*T2^5 - 180*T1^6*T2^5 - 
      92*T1^7*T2^5 - 131*T1^8*T2^5 - 204*T1^9*T2^5 - 48*T1^10*T2^5 - 
      26*T1^11*T2^5 + 60*T1^12*T2^5 - 40*T2^6 - 48*T1*T2^6 + 147*T1^2*T2^6 - 
      50*T1^3*T2^6 + 559*T1^4*T2^6 - 180*T1^5*T2^6 + 464*T1^6*T2^6 - 
      374*T1^7*T2^6 + 608*T1^8*T2^6 - 52*T1^9*T2^6 + 255*T1^10*T2^6 + 
      30*T1^11*T2^6 - 61*T1^12*T2^6 - 32*T1^13*T2^6 + 8*T1^14*T2^6 + 
      20*T2^7 + 48*T1*T2^7 - 38*T1^2*T2^7 - 75*T1^3*T2^7 - 313*T1^4*T2^7 - 
      92*T1^5*T2^7 - 374*T1^6*T2^7 + 299*T1^7*T2^7 - 389*T1^8*T2^7 - 
      191*T1^9*T2^7 - 100*T1^10*T2^7 - 174*T1^11*T2^7 + 62*T1^12*T2^7 + 
      66*T1^13*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 24*T1^2*T2^8 - 
      33*T1^3*T2^8 + 379*T1^4*T2^8 - 131*T1^5*T2^8 + 608*T1^6*T2^8 - 
      389*T1^7*T2^8 + 204*T1^8*T2^8 + 313*T1^9*T2^8 - 34*T1^10*T2^8 + 
      243*T1^11*T2^8 - 53*T1^12*T2^8 - 55*T1^13*T2^8 - 40*T1^14*T2^8 + 
      20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 
      46*T1^3*T2^9 - 58*T1^4*T2^9 - 204*T1^5*T2^9 - 52*T1^6*T2^9 - 
      191*T1^7*T2^9 + 313*T1^8*T2^9 - 375*T1^9*T2^9 - 8*T1^10*T2^9 - 
      60*T1^11*T2^9 - 65*T1^12*T2^9 + 79*T1^13*T2^9 + 58*T1^14*T2^9 - 
      16*T1^15*T2^9 - 12*T1^16*T2^9 - 24*T1^2*T2^10 - 8*T1^3*T2^10 + 
      99*T1^4*T2^10 - 48*T1^5*T2^10 + 255*T1^6*T2^10 - 100*T1^7*T2^10 - 
      34*T1^8*T2^10 - 8*T1^9*T2^10 + 110*T1^10*T2^10 + 28*T1^11*T2^10 - 
      49*T1^12*T2^10 + 32*T1^13*T2^10 - 109*T1^14*T2^10 + 8*T1^15*T2^10 + 
      24*T1^16*T2^10 + 26*T1^3*T2^11 - 44*T1^4*T2^11 - 26*T1^5*T2^11 + 
      30*T1^6*T2^11 - 174*T1^7*T2^11 + 243*T1^8*T2^11 - 60*T1^9*T2^11 + 
      28*T1^10*T2^11 - 83*T1^11*T2^11 + 123*T1^12*T2^11 - 45*T1^13*T2^11 + 
      70*T1^14*T2^11 + 36*T1^15*T2^11 - 39*T1^16*T2^11 - 15*T1^4*T2^12 + 
      60*T1^5*T2^12 - 61*T1^6*T2^12 + 62*T1^7*T2^12 - 53*T1^8*T2^12 - 
      65*T1^9*T2^12 - 49*T1^10*T2^12 + 123*T1^11*T2^12 - 149*T1^12*T2^12 + 
      10*T1^13*T2^12 + 3*T1^14*T2^12 - 76*T1^15*T2^12 + 45*T1^16*T2^12 - 
      32*T1^6*T2^13 + 66*T1^7*T2^13 - 55*T1^8*T2^13 + 79*T1^9*T2^13 + 
      32*T1^10*T2^13 - 45*T1^11*T2^13 + 10*T1^12*T2^13 + 107*T1^13*T2^13 - 
      86*T1^14*T2^13 + 92*T1^15*T2^13 - 39*T1^16*T2^13 + 8*T1^6*T2^14 - 
      40*T1^8*T2^14 + 58*T1^9*T2^14 - 109*T1^10*T2^14 + 70*T1^11*T2^14 + 
      3*T1^12*T2^14 - 86*T1^13*T2^14 + 72*T1^14*T2^14 - 64*T1^15*T2^14 + 
      24*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 16*T1^9*T2^15 + 
      8*T1^10*T2^15 + 36*T1^11*T2^15 - 76*T1^12*T2^15 + 92*T1^13*T2^15 - 
      64*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 24*T1^10*T2^16 - 39*T1^11*T2^16 + 45*T1^12*T2^16 - 
      39*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 346] -> 
  {(1 - 2*T + 2*T^2 - T^3 + T^4 - T^5 + 2*T^6 - 2*T^7 + T^8)/T^4, 
   (-4 + 8*T1 - 8*T1^2 + 4*T1^3 - 4*T1^4 + 4*T1^5 - 8*T1^6 + 8*T1^7 - 
     4*T1^8 + 8*T2 - 12*T1*T2 + 8*T1^2*T2 + 3*T1^4*T2 - T1^5*T2 + 6*T1^6*T2 - 
     6*T1^8*T2 + 6*T1^9*T2 - 8*T2^2 + 8*T1*T2^2 + T1^2*T2^2 - 9*T1^3*T2^2 + 
     T1^5*T2^2 - 4*T1^6*T2^2 - 5*T1^7*T2^2 + 5*T1^8*T2^2 - 4*T1^10*T2^2 + 
     4*T2^3 - 9*T1^2*T2^3 + 9*T1^3*T2^3 + 4*T1^4*T2^3 - 4*T1^5*T2^3 - 
     3*T1^6*T2^3 + 7*T1^7*T2^3 - T1^8*T2^3 - 3*T1^9*T2^3 + 2*T1^10*T2^3 + 
     T1^11*T2^3 - 4*T2^4 + 3*T1*T2^4 + 4*T1^3*T2^4 - 20*T1^4*T2^4 + 
     23*T1^5*T2^4 - 22*T1^6*T2^4 + 23*T1^7*T2^4 - 16*T1^8*T2^4 + 
     4*T1^9*T2^4 - T1^11*T2^4 + 4*T2^5 - T1*T2^5 + T1^2*T2^5 - 4*T1^3*T2^5 + 
     23*T1^4*T2^5 - 15*T1^5*T2^5 + 12*T1^6*T2^5 + 6*T1^7*T2^5 - 
     17*T1^8*T2^5 + 22*T1^9*T2^5 - 5*T1^10*T2^5 + T1^11*T2^5 + 3*T1^12*T2^5 - 
     T1^13*T2^5 - 8*T2^6 + 6*T1*T2^6 - 4*T1^2*T2^6 - 3*T1^3*T2^6 - 
     22*T1^4*T2^6 + 12*T1^5*T2^6 - 23*T1^6*T2^6 - 3*T1^7*T2^6 - 7*T1^8*T2^6 + 
     4*T1^9*T2^6 - 14*T1^10*T2^6 - 7*T1^11*T2^6 + 8*T1^12*T2^6 - 
     10*T1^13*T2^6 + 4*T1^14*T2^6 + 8*T2^7 - 5*T1^2*T2^7 + 7*T1^3*T2^7 + 
     23*T1^4*T2^7 + 6*T1^5*T2^7 - 3*T1^6*T2^7 + 31*T1^7*T2^7 + 9*T1^8*T2^7 - 
     6*T1^9*T2^7 + 8*T1^10*T2^7 + 20*T1^11*T2^7 - 8*T1^12*T2^7 + T1^13*T2^7 + 
     8*T1^14*T2^7 - 6*T1^15*T2^7 - 4*T2^8 - 6*T1*T2^8 + 5*T1^2*T2^8 - 
     T1^3*T2^8 - 16*T1^4*T2^8 - 17*T1^5*T2^8 - 7*T1^6*T2^8 + 9*T1^7*T2^8 - 
     60*T1^8*T2^8 + 31*T1^9*T2^8 - 13*T1^10*T2^8 - 15*T1^11*T2^8 - 
     4*T1^12*T2^8 + 9*T1^13*T2^8 - 11*T1^14*T2^8 + 2*T1^15*T2^8 + 
     4*T1^16*T2^8 + 6*T1*T2^9 - 3*T1^3*T2^9 + 4*T1^4*T2^9 + 22*T1^5*T2^9 + 
     4*T1^6*T2^9 - 6*T1^7*T2^9 + 31*T1^8*T2^9 + 9*T1^9*T2^9 - 9*T1^10*T2^9 + 
     6*T1^11*T2^9 + 19*T1^12*T2^9 - 11*T1^13*T2^9 + 3*T1^14*T2^9 + 
     8*T1^15*T2^9 - 8*T1^16*T2^9 - 4*T1^2*T2^10 + 2*T1^3*T2^10 - 
     5*T1^5*T2^10 - 14*T1^6*T2^10 + 8*T1^7*T2^10 - 13*T1^8*T2^10 - 
     9*T1^9*T2^10 + 3*T1^10*T2^10 - 6*T1^12*T2^10 - 9*T1^13*T2^10 + 
     12*T1^14*T2^10 - 14*T1^15*T2^10 + 8*T1^16*T2^10 + T1^3*T2^11 - 
     T1^4*T2^11 + T1^5*T2^11 - 7*T1^6*T2^11 + 20*T1^7*T2^11 - 15*T1^8*T2^11 + 
     6*T1^9*T2^11 - 17*T1^11*T2^11 + 19*T1^12*T2^11 - 8*T1^13*T2^11 + 
     T1^14*T2^11 + 3*T1^15*T2^11 - 4*T1^16*T2^11 + 3*T1^5*T2^12 + 
     8*T1^6*T2^12 - 8*T1^7*T2^12 - 4*T1^8*T2^12 + 19*T1^9*T2^12 - 
     6*T1^10*T2^12 + 19*T1^11*T2^12 - 8*T1^13*T2^12 + 8*T1^14*T2^12 - 
     T1^15*T2^12 + 4*T1^16*T2^12 - T1^5*T2^13 - 10*T1^6*T2^13 + T1^7*T2^13 + 
     9*T1^8*T2^13 - 11*T1^9*T2^13 - 9*T1^10*T2^13 - 8*T1^11*T2^13 - 
     8*T1^12*T2^13 - T1^13*T2^13 + 7*T1^14*T2^13 - 8*T1^15*T2^13 - 
     4*T1^16*T2^13 + 4*T1^6*T2^14 + 8*T1^7*T2^14 - 11*T1^8*T2^14 + 
     3*T1^9*T2^14 + 12*T1^10*T2^14 + T1^11*T2^14 + 8*T1^12*T2^14 + 
     7*T1^13*T2^14 - 7*T1^14*T2^14 + 8*T1^16*T2^14 - 6*T1^7*T2^15 + 
     2*T1^8*T2^15 + 8*T1^9*T2^15 - 14*T1^10*T2^15 + 3*T1^11*T2^15 - 
     T1^12*T2^15 - 8*T1^13*T2^15 + 8*T1^15*T2^15 - 8*T1^16*T2^15 + 
     4*T1^8*T2^16 - 8*T1^9*T2^16 + 8*T1^10*T2^16 - 4*T1^11*T2^16 + 
     4*T1^12*T2^16 - 4*T1^13*T2^16 + 8*T1^14*T2^16 - 8*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 347] -> 
  {(1 - 3*T + 7*T^2 - 9*T^3 + 7*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 14*T1^2 + 18*T1^3 - 14*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 33*T1^2*T2 - 33*T1^3*T2 + 15*T1^4*T2 + 3*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 14*T2^2 + 33*T1*T2^2 - 55*T1^2*T2^2 + 
     27*T1^3*T2^2 + 31*T1^4*T2^2 - 57*T1^5*T2^2 + 29*T1^6*T2^2 - 
     9*T1^7*T2^2 + 18*T2^3 - 33*T1*T2^3 + 27*T1^2*T2^3 + 18*T1^3*T2^3 - 
     61*T1^4*T2^3 + 5*T1^5*T2^3 + 78*T1^6*T2^3 - 78*T1^7*T2^3 + 
     27*T1^8*T2^3 - 9*T1^9*T2^3 - 14*T2^4 + 15*T1*T2^4 + 31*T1^2*T2^4 - 
     61*T1^3*T2^4 + 97*T1^4*T2^4 + 11*T1^5*T2^4 - 59*T1^6*T2^4 + 
     11*T1^7*T2^4 + 65*T1^8*T2^4 - 15*T1^9*T2^4 + 14*T1^10*T2^4 + 6*T2^5 + 
     3*T1*T2^5 - 57*T1^2*T2^5 + 5*T1^3*T2^5 + 11*T1^4*T2^5 - 223*T1^5*T2^5 + 
     215*T1^6*T2^5 - 94*T1^7*T2^5 - 49*T1^8*T2^5 - 36*T1^9*T2^5 - 
     15*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 29*T1^2*T2^6 + 
     78*T1^3*T2^6 - 59*T1^4*T2^6 + 215*T1^5*T2^6 - 12*T1^6*T2^6 - 
     175*T1^7*T2^6 + 247*T1^8*T2^6 - 18*T1^9*T2^6 + 61*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 78*T1^3*T2^7 + 
     11*T1^4*T2^7 - 94*T1^5*T2^7 - 175*T1^6*T2^7 + 263*T1^7*T2^7 - 
     199*T1^8*T2^7 - 43*T1^9*T2^7 - 57*T1^10*T2^7 - 27*T1^11*T2^7 - 
     12*T1^12*T2^7 + 27*T1^3*T2^8 + 65*T1^4*T2^8 - 49*T1^5*T2^8 + 
     247*T1^6*T2^8 - 199*T1^7*T2^8 + 91*T1^8*T2^8 + 23*T1^9*T2^8 + 
     99*T1^10*T2^8 - 3*T1^11*T2^8 + 28*T1^12*T2^8 - 9*T1^3*T2^9 - 
     15*T1^4*T2^9 - 36*T1^5*T2^9 - 18*T1^6*T2^9 - 43*T1^7*T2^9 + 
     23*T1^8*T2^9 + 42*T1^9*T2^9 - 141*T1^10*T2^9 + 45*T1^11*T2^9 - 
     36*T1^12*T2^9 + 14*T1^4*T2^10 - 15*T1^5*T2^10 + 61*T1^6*T2^10 - 
     57*T1^7*T2^10 + 99*T1^8*T2^10 - 141*T1^9*T2^10 + 145*T1^10*T2^10 - 
     57*T1^11*T2^10 + 28*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     27*T1^7*T2^11 - 3*T1^8*T2^11 + 45*T1^9*T2^11 - 57*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     28*T1^8*T2^12 - 36*T1^9*T2^12 + 28*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 348] -> 
  {(1 - 7*T + 19*T^2 - 25*T^3 + 19*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 38*T1^2 + 50*T1^3 - 38*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     89*T1*T2 + 210*T1^2*T2 - 214*T1^3*T2 + 94*T1^4*T2 + 28*T1^5*T2 - 
     33*T1^6*T2 + 7*T1^7*T2 - 38*T2^2 + 210*T1*T2^2 - 369*T1^2*T2^2 + 
     70*T1^3*T2^2 + 431*T1^4*T2^2 - 614*T1^5*T2^2 + 315*T1^6*T2^2 - 
     56*T1^7*T2^2 + 50*T2^3 - 214*T1*T2^3 + 70*T1^2*T2^3 + 1036*T1^3*T2^3 - 
     2104*T1^4*T2^3 + 1798*T1^5*T2^3 - 472*T1^6*T2^3 - 291*T1^7*T2^3 + 
     178*T1^8*T2^3 - 25*T1^9*T2^3 - 38*T2^4 + 94*T1*T2^4 + 431*T1^2*T2^4 - 
     2104*T1^3*T2^4 + 2923*T1^4*T2^4 - 701*T1^5*T2^4 - 2009*T1^6*T2^4 + 
     2296*T1^7*T2^4 - 575*T1^8*T2^4 - 88*T1^9*T2^4 + 38*T1^10*T2^4 + 
     14*T2^5 + 28*T1*T2^5 - 614*T1^2*T2^5 + 1798*T1^3*T2^5 - 701*T1^4*T2^5 - 
     4373*T1^5*T2^5 + 6433*T1^6*T2^5 - 3342*T1^7*T2^5 - 1108*T1^8*T2^5 + 
     1039*T1^9*T2^5 - 126*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 33*T1*T2^6 + 
     315*T1^2*T2^6 - 472*T1^3*T2^6 - 2009*T1^4*T2^6 + 6433*T1^5*T2^6 - 
     3480*T1^6*T2^6 - 3077*T1^7*T2^6 + 6201*T1^8*T2^6 - 1952*T1^9*T2^6 - 
     221*T1^10*T2^6 + 121*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     56*T1^2*T2^7 - 291*T1^3*T2^7 + 2296*T1^4*T2^7 - 3342*T1^5*T2^7 - 
     3077*T1^6*T2^7 + 7729*T1^7*T2^7 - 5983*T1^8*T2^7 - 610*T1^9*T2^7 + 
     1362*T1^10*T2^7 - 210*T1^11*T2^7 - 28*T1^12*T2^7 + 178*T1^3*T2^8 - 
     575*T1^4*T2^8 - 1108*T1^5*T2^8 + 6201*T1^6*T2^8 - 5983*T1^7*T2^8 + 
     1269*T1^8*T2^8 + 3292*T1^9*T2^8 - 1581*T1^10*T2^8 - 4*T1^11*T2^8 + 
     76*T1^12*T2^8 - 25*T1^3*T2^9 - 88*T1^4*T2^9 + 1039*T1^5*T2^9 - 
     1952*T1^6*T2^9 - 610*T1^7*T2^9 + 3292*T1^8*T2^9 - 3460*T1^9*T2^9 + 
     678*T1^10*T2^9 + 304*T1^11*T2^9 - 100*T1^12*T2^9 + 38*T1^4*T2^10 - 
     126*T1^5*T2^10 - 221*T1^6*T2^10 + 1362*T1^7*T2^10 - 1581*T1^8*T2^10 + 
     678*T1^9*T2^10 + 463*T1^10*T2^10 - 392*T1^11*T2^10 + 76*T1^12*T2^10 - 
     21*T1^5*T2^11 + 121*T1^6*T2^11 - 210*T1^7*T2^11 - 4*T1^8*T2^11 + 
     304*T1^9*T2^11 - 392*T1^10*T2^11 + 177*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 76*T1^8*T2^12 - 100*T1^9*T2^12 + 
     76*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 349] -> 
  {-((1 - 4*T + 2*T^2 + T^3 + 2*T^4 - 4*T^5 + T^6)/T^3), 
   -((-1 + 4*T1 - 2*T1^2 - T1^3 - 2*T1^4 + 4*T1^5 - T1^6 + 4*T2 - 16*T1*T2 + 
      8*T1^2*T2 + 4*T1^3*T2 + 8*T1^4*T2 - 16*T1^5*T2 + 4*T1^6*T2 - 2*T2^2 + 
      8*T1*T2^2 + 4*T1^2*T2^2 - 21*T1^3*T2^2 + 12*T1^4*T2^2 - T1^5*T2^2 + 
      8*T1^6*T2^2 - 8*T1^7*T2^2 + 2*T1^8*T2^2 - T2^3 + 4*T1*T2^3 - 
      21*T1^2*T2^3 + 53*T1^3*T2^3 - 39*T1^4*T2^3 - 13*T1^5*T2^3 + 
      5*T1^6*T2^3 + 25*T1^7*T2^3 - 16*T1^8*T2^3 + 2*T1^9*T2^3 - 2*T2^4 + 
      8*T1*T2^4 + 12*T1^2*T2^4 - 39*T1^3*T2^4 + 35*T1^4*T2^4 + 9*T1^5*T2^4 + 
      3*T1^6*T2^4 - 39*T1^7*T2^4 + 60*T1^8*T2^4 - 32*T1^9*T2^4 + 
      6*T1^10*T2^4 + 4*T2^5 - 16*T1*T2^5 - T1^2*T2^5 - 13*T1^3*T2^5 + 
      9*T1^4*T2^5 + 36*T1^5*T2^5 - 10*T1^6*T2^5 - 19*T1^7*T2^5 - 
      91*T1^8*T2^5 + 57*T1^9*T2^5 + 40*T1^10*T2^5 - 16*T1^11*T2^5 - T2^6 + 
      4*T1*T2^6 + 8*T1^2*T2^6 + 5*T1^3*T2^6 + 3*T1^4*T2^6 - 10*T1^5*T2^6 - 
      108*T1^6*T2^6 + 70*T1^7*T2^6 + 87*T1^8*T2^6 + 107*T1^9*T2^6 - 
      228*T1^10*T2^6 + 44*T1^11*T2^6 + 5*T1^12*T2^6 - 8*T1^2*T2^7 + 
      25*T1^3*T2^7 - 39*T1^4*T2^7 - 19*T1^5*T2^7 + 70*T1^6*T2^7 + 
      24*T1^7*T2^7 - 47*T1^8*T2^7 - 117*T1^9*T2^7 + 83*T1^10*T2^7 + 
      48*T1^11*T2^7 - 20*T1^12*T2^7 + 2*T1^2*T2^8 - 16*T1^3*T2^8 + 
      60*T1^4*T2^8 - 91*T1^5*T2^8 + 87*T1^6*T2^8 - 47*T1^7*T2^8 + 
      55*T1^8*T2^8 - 91*T1^9*T2^8 + 108*T1^10*T2^8 - 56*T1^11*T2^8 + 
      10*T1^12*T2^8 + 2*T1^3*T2^9 - 32*T1^4*T2^9 + 57*T1^5*T2^9 + 
      107*T1^6*T2^9 - 117*T1^7*T2^9 - 91*T1^8*T2^9 + 59*T1^9*T2^9 + 
      103*T1^10*T2^9 - 52*T1^11*T2^9 + 5*T1^12*T2^9 + 6*T1^4*T2^10 + 
      40*T1^5*T2^10 - 228*T1^6*T2^10 + 83*T1^7*T2^10 + 108*T1^8*T2^10 + 
      103*T1^9*T2^10 - 224*T1^10*T2^10 + 24*T1^11*T2^10 + 10*T1^12*T2^10 - 
      16*T1^5*T2^11 + 44*T1^6*T2^11 + 48*T1^7*T2^11 - 56*T1^8*T2^11 - 
      52*T1^9*T2^11 + 24*T1^10*T2^11 + 64*T1^11*T2^11 - 20*T1^12*T2^11 + 
      5*T1^6*T2^12 - 20*T1^7*T2^12 + 10*T1^8*T2^12 + 5*T1^9*T2^12 + 
      10*T1^10*T2^12 - 20*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 350] -> 
  {(1 - 8*T + 25*T^2 - 35*T^3 + 25*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 50*T1^2 + 70*T1^3 - 50*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     118*T1*T2 + 327*T1^2*T2 - 355*T1^3*T2 + 125*T1^4*T2 + 63*T1^5*T2 - 
     46*T1^6*T2 + 8*T1^7*T2 - 50*T2^2 + 327*T1*T2^2 - 707*T1^2*T2^2 + 
     178*T1^3*T2^2 + 931*T1^4*T2^2 - 1172*T1^5*T2^2 + 493*T1^6*T2^2 - 
     73*T1^7*T2^2 + 70*T2^3 - 355*T1*T2^3 + 178*T1^2*T2^3 + 2267*T1^3*T2^3 - 
     4843*T1^4*T2^3 + 3692*T1^5*T2^3 - 553*T1^6*T2^3 - 647*T1^7*T2^3 + 
     285*T1^8*T2^3 - 35*T1^9*T2^3 - 50*T2^4 + 125*T1*T2^4 + 931*T1^2*T2^4 - 
     4843*T1^3*T2^4 + 6941*T1^4*T2^4 - 883*T1^5*T2^4 - 5779*T1^6*T2^4 + 
     5097*T1^7*T2^4 - 1049*T1^8*T2^4 - 115*T1^9*T2^4 + 50*T1^10*T2^4 + 
     16*T2^5 + 63*T1*T2^5 - 1172*T1^2*T2^5 + 3692*T1^3*T2^5 - 883*T1^4*T2^5 - 
     13425*T1^5*T2^5 + 19635*T1^6*T2^5 - 9158*T1^7*T2^5 - 2033*T1^8*T2^5 + 
     1753*T1^9*T2^5 - 217*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 46*T1*T2^6 + 
     493*T1^2*T2^6 - 553*T1^3*T2^6 - 5779*T1^4*T2^6 + 19635*T1^5*T2^6 - 
     13416*T1^6*T2^6 - 8019*T1^7*T2^6 + 15411*T1^8*T2^6 - 4363*T1^9*T2^6 - 
     155*T1^10*T2^6 + 162*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     73*T1^2*T2^7 - 647*T1^3*T2^7 + 5097*T1^4*T2^7 - 9158*T1^5*T2^7 - 
     8019*T1^6*T2^7 + 25041*T1^7*T2^7 - 17433*T1^8*T2^7 - 628*T1^9*T2^7 + 
     2278*T1^10*T2^7 - 353*T1^11*T2^7 - 32*T1^12*T2^7 + 285*T1^3*T2^8 - 
     1049*T1^4*T2^8 - 2033*T1^5*T2^8 + 15411*T1^6*T2^8 - 17433*T1^7*T2^8 + 
     2691*T1^8*T2^8 + 7907*T1^9*T2^8 - 3029*T1^10*T2^8 + 45*T1^11*T2^8 + 
     100*T1^12*T2^8 - 35*T1^3*T2^9 - 115*T1^4*T2^9 + 1753*T1^5*T2^9 - 
     4363*T1^6*T2^9 - 628*T1^7*T2^9 + 7907*T1^8*T2^9 - 7183*T1^9*T2^9 + 
     928*T1^10*T2^9 + 525*T1^11*T2^9 - 140*T1^12*T2^9 + 50*T1^4*T2^10 - 
     217*T1^5*T2^10 - 155*T1^6*T2^10 + 2278*T1^7*T2^10 - 3029*T1^8*T2^10 + 
     928*T1^9*T2^10 + 1045*T1^10*T2^10 - 617*T1^11*T2^10 + 100*T1^12*T2^10 - 
     24*T1^5*T2^11 + 162*T1^6*T2^11 - 353*T1^7*T2^11 + 45*T1^8*T2^11 + 
     525*T1^9*T2^11 - 617*T1^10*T2^11 + 234*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 100*T1^8*T2^12 - 140*T1^9*T2^12 + 
     100*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 351] -> 
  {(1 - 5*T + 7*T^2 - 5*T^3 + 7*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 28*T1^2 + 20*T1^3 - 28*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 67*T1^2*T2 + 2*T1^3*T2 + 62*T1^4*T2 + 7*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 28*T2^2 + 67*T1*T2^2 + 146*T1^2*T2^2 - 
     286*T1^3*T2^2 + 72*T1^4*T2^2 - 286*T1^5*T2^2 + 230*T1^6*T2^2 - 
     3*T1^7*T2^2 - 14*T1^8*T2^2 + 20*T2^3 + 2*T1*T2^3 - 286*T1^2*T2^3 + 
     272*T1^3*T2^3 + 46*T1^4*T2^3 + 286*T1^5*T2^3 - 58*T1^6*T2^3 - 
     181*T1^7*T2^3 + 42*T1^8*T2^3 + 5*T1^9*T2^3 - 28*T2^4 + 62*T1*T2^4 + 
     72*T1^2*T2^4 + 46*T1^3*T2^4 - 325*T1^4*T2^4 + 37*T1^5*T2^4 - 
     157*T1^6*T2^4 + 206*T1^7*T2^4 + 18*T1^8*T2^4 - 28*T1^9*T2^4 + 20*T2^5 + 
     7*T1*T2^5 - 286*T1^2*T2^5 + 286*T1^3*T2^5 + 37*T1^4*T2^5 + 
     297*T1^5*T2^5 - 393*T1^6*T2^5 + 72*T1^7*T2^5 - 114*T1^8*T2^5 + 
     29*T1^9*T2^5 + 27*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     230*T1^2*T2^6 - 58*T1^3*T2^6 - 157*T1^4*T2^6 - 393*T1^5*T2^6 + 
     420*T1^6*T2^6 + 177*T1^7*T2^6 - 27*T1^8*T2^6 + 122*T1^9*T2^6 - 
     130*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 - 
     3*T1^2*T2^7 - 181*T1^3*T2^7 + 206*T1^4*T2^7 + 72*T1^5*T2^7 + 
     177*T1^6*T2^7 - 513*T1^7*T2^7 + 107*T1^8*T2^7 - 194*T1^9*T2^7 + 
     134*T1^10*T2^7 + 17*T1^11*T2^7 - 10*T1^12*T2^7 - 14*T1^2*T2^8 + 
     42*T1^3*T2^8 + 18*T1^4*T2^8 - 114*T1^5*T2^8 - 27*T1^6*T2^8 + 
     107*T1^7*T2^8 + 141*T1^8*T2^8 + 46*T1^9*T2^8 - 36*T1^10*T2^8 - 
     48*T1^11*T2^8 + 14*T1^12*T2^8 + 5*T1^3*T2^9 - 28*T1^4*T2^9 + 
     29*T1^5*T2^9 + 122*T1^6*T2^9 - 194*T1^7*T2^9 + 46*T1^8*T2^9 - 
     208*T1^9*T2^9 + 134*T1^10*T2^9 + 12*T1^11*T2^9 - 10*T1^12*T2^9 + 
     27*T1^5*T2^10 - 130*T1^6*T2^10 + 134*T1^7*T2^10 - 36*T1^8*T2^10 + 
     134*T1^9*T2^10 - 46*T1^10*T2^10 - 43*T1^11*T2^10 + 14*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 + 17*T1^7*T2^11 - 48*T1^8*T2^11 + 
     12*T1^9*T2^11 - 43*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 14*T1^8*T2^12 - 10*T1^9*T2^12 + 
     14*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 352] -> 
  {(1 - 3*T + T^2 + 3*T^3 + T^4 - 3*T^5 + T^6)/T^3, 
   (-4 + 12*T1 - 4*T1^2 - 12*T1^3 - 4*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     25*T1*T2 - 22*T1^2*T2 + 51*T1^3*T2 + 45*T1^4*T2 - 34*T1^5*T2 - 
     13*T1^6*T2 + 9*T1^7*T2 - 4*T2^2 - 22*T1*T2^2 + 91*T1^2*T2^2 - 
     26*T1^3*T2^2 - 131*T1^4*T2^2 - 14*T1^5*T2^2 + 91*T1^6*T2^2 - 
     28*T1^7*T2^2 - 2*T1^8*T2^2 - 12*T2^3 + 51*T1*T2^3 - 26*T1^2*T2^3 - 
     116*T1^3*T2^3 + 99*T1^4*T2^3 + 129*T1^5*T2^3 - 110*T1^6*T2^3 - 
     5*T1^7*T2^3 + 21*T1^8*T2^3 - 3*T1^9*T2^3 - 4*T2^4 + 45*T1*T2^4 - 
     131*T1^2*T2^4 + 99*T1^3*T2^4 + 106*T1^4*T2^4 - 148*T1^5*T2^4 - 
     2*T1^6*T2^4 + 111*T1^7*T2^4 - 73*T1^8*T2^4 + 15*T1^9*T2^4 + 12*T2^5 - 
     34*T1*T2^5 - 14*T1^2*T2^5 + 129*T1^3*T2^5 - 148*T1^4*T2^5 + 
     35*T1^5*T2^5 + 65*T1^6*T2^5 - 169*T1^7*T2^5 + 63*T1^8*T2^5 + T1^9*T2^5 + 
     2*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 13*T1*T2^6 + 91*T1^2*T2^6 - 
     110*T1^3*T2^6 - 2*T1^4*T2^6 + 65*T1^5*T2^6 - 36*T1^6*T2^6 + 
     59*T1^7*T2^6 + 112*T1^8*T2^6 - 62*T1^9*T2^6 - 9*T1^10*T2^6 + 
     5*T1^11*T2^6 + 2*T1^12*T2^6 + 9*T1*T2^7 - 28*T1^2*T2^7 - 5*T1^3*T2^7 + 
     111*T1^4*T2^7 - 169*T1^5*T2^7 + 59*T1^6*T2^7 + 89*T1^7*T2^7 - 
     190*T1^8*T2^7 + 45*T1^9*T2^7 + 10*T1^10*T2^7 + 8*T1^11*T2^7 - 
     6*T1^12*T2^7 - 2*T1^2*T2^8 + 21*T1^3*T2^8 - 73*T1^4*T2^8 + 
     63*T1^5*T2^8 + 112*T1^6*T2^8 - 190*T1^7*T2^8 + 4*T1^8*T2^8 + 
     75*T1^9*T2^8 - 15*T1^10*T2^8 - 9*T1^11*T2^8 + 2*T1^12*T2^8 - 
     3*T1^3*T2^9 + 15*T1^4*T2^9 + T1^5*T2^9 - 62*T1^6*T2^9 + 45*T1^7*T2^9 + 
     75*T1^8*T2^9 - 56*T1^9*T2^9 + 22*T1^10*T2^9 - 15*T1^11*T2^9 + 
     6*T1^12*T2^9 + 2*T1^5*T2^10 - 9*T1^6*T2^10 + 10*T1^7*T2^10 - 
     15*T1^8*T2^10 + 22*T1^9*T2^10 - 9*T1^10*T2^10 - 4*T1^11*T2^10 + 
     2*T1^12*T2^10 - 3*T1^5*T2^11 + 5*T1^6*T2^11 + 8*T1^7*T2^11 - 
     9*T1^8*T2^11 - 15*T1^9*T2^11 - 4*T1^10*T2^11 + 17*T1^11*T2^11 - 
     6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 2*T1^8*T2^12 + 
     6*T1^9*T2^12 + 2*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 353] -> 
  {(1 - 9*T + 25*T^2 - 33*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 50*T1^2 + 66*T1^3 - 50*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     151*T1*T2 + 368*T1^2*T2 - 372*T1^3*T2 + 150*T1^4*T2 + 62*T1^5*T2 - 
     61*T1^6*T2 + 9*T1^7*T2 - 50*T2^2 + 368*T1*T2^2 - 574*T1^2*T2^2 - 
     240*T1^3*T2^2 + 1300*T1^4*T2^2 - 1440*T1^5*T2^2 + 626*T1^6*T2^2 - 
     82*T1^7*T2^2 + 66*T2^3 - 372*T1*T2^3 - 240*T1^2*T2^3 + 3200*T1^3*T2^3 - 
     5474*T1^4*T2^3 + 4210*T1^5*T2^3 - 1084*T1^6*T2^3 - 465*T1^7*T2^3 + 
     294*T1^8*T2^3 - 33*T1^9*T2^3 - 50*T2^4 + 150*T1*T2^4 + 1300*T1^2*T2^4 - 
     5474*T1^3*T2^4 + 6388*T1^4*T2^4 - 336*T1^5*T2^4 - 5468*T1^6*T2^4 + 
     5482*T1^7*T2^4 - 1546*T1^8*T2^4 - 156*T1^9*T2^4 + 50*T1^10*T2^4 + 
     18*T2^5 + 62*T1*T2^5 - 1440*T1^2*T2^5 + 4210*T1^3*T2^5 - 336*T1^4*T2^5 - 
     11183*T1^5*T2^5 + 14167*T1^6*T2^5 - 6561*T1^7*T2^5 - 2930*T1^8*T2^5 + 
     2685*T1^9*T2^5 - 208*T1^10*T2^5 - 27*T1^11*T2^5 - 2*T2^6 - 61*T1*T2^6 + 
     626*T1^2*T2^6 - 1084*T1^3*T2^6 - 5468*T1^4*T2^6 + 14167*T1^5*T2^6 - 
     5916*T1^6*T2^6 - 8111*T1^7*T2^6 + 13990*T1^8*T2^6 - 4432*T1^9*T2^6 - 
     890*T1^10*T2^6 + 209*T1^11*T2^6 + 4*T1^12*T2^6 + 9*T1*T2^7 - 
     82*T1^2*T2^7 - 465*T1^3*T2^7 + 5482*T1^4*T2^7 - 6561*T1^5*T2^7 - 
     8111*T1^6*T2^7 + 17239*T1^7*T2^7 - 12786*T1^8*T2^7 - 1658*T1^9*T2^7 + 
     3660*T1^10*T2^7 - 352*T1^11*T2^7 - 36*T1^12*T2^7 + 294*T1^3*T2^8 - 
     1546*T1^4*T2^8 - 2930*T1^5*T2^8 + 13990*T1^6*T2^8 - 12786*T1^7*T2^8 + 
     2134*T1^8*T2^8 + 8026*T1^9*T2^8 - 4392*T1^10*T2^8 - 12*T1^11*T2^8 + 
     100*T1^12*T2^8 - 33*T1^3*T2^9 - 156*T1^4*T2^9 + 2685*T1^5*T2^9 - 
     4432*T1^6*T2^9 - 1658*T1^7*T2^9 + 8026*T1^8*T2^9 - 8716*T1^9*T2^9 + 
     2460*T1^10*T2^9 + 510*T1^11*T2^9 - 132*T1^12*T2^9 + 50*T1^4*T2^10 - 
     208*T1^5*T2^10 - 890*T1^6*T2^10 + 3660*T1^7*T2^10 - 4392*T1^8*T2^10 + 
     2460*T1^9*T2^10 + 310*T1^10*T2^10 - 658*T1^11*T2^10 + 100*T1^12*T2^10 - 
     27*T1^5*T2^11 + 209*T1^6*T2^11 - 352*T1^7*T2^11 - 12*T1^8*T2^11 + 
     510*T1^9*T2^11 - 658*T1^10*T2^11 + 299*T1^11*T2^11 - 36*T1^12*T2^11 + 
     4*T1^6*T2^12 - 36*T1^7*T2^12 + 100*T1^8*T2^12 - 132*T1^9*T2^12 + 
     100*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 354] -> 
  {(1 - 4*T + 5*T^2 - 3*T^3 + 5*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 10*T1^2 + 6*T1^3 - 10*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 24*T1^2*T2 - 4*T1^3*T2 + 28*T1^4*T2 - 12*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 10*T2^2 + 24*T1*T2^2 + 15*T1^2*T2^2 - 
     55*T1^3*T2^2 + 5*T1^4*T2^2 - 45*T1^5*T2^2 + 55*T1^6*T2^2 - 
     16*T1^7*T2^2 + 6*T2^3 - 4*T1*T2^3 - 55*T1^2*T2^3 + 93*T1^3*T2^3 - 
     19*T1^4*T2^3 + 60*T1^5*T2^3 - 51*T1^6*T2^3 + 12*T1^8*T2^3 - 
     3*T1^9*T2^3 - 10*T2^4 + 28*T1*T2^4 + 5*T1^2*T2^4 - 19*T1^3*T2^4 - 
     79*T1^4*T2^4 - 31*T1^5*T2^4 + 25*T1^6*T2^4 + 17*T1^7*T2^4 + 
     9*T1^8*T2^4 - 28*T1^9*T2^4 + 10*T1^10*T2^4 + 8*T2^5 - 12*T1*T2^5 - 
     45*T1^2*T2^5 + 60*T1^3*T2^5 - 31*T1^4*T2^5 + 259*T1^5*T2^5 - 
     61*T1^6*T2^5 - 26*T1^7*T2^5 - 105*T1^8*T2^5 + 80*T1^9*T2^5 + 
     8*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 55*T1^2*T2^6 - 
     51*T1^3*T2^6 + 25*T1^4*T2^6 - 61*T1^5*T2^6 - 324*T1^6*T2^6 + 
     221*T1^7*T2^6 + 63*T1^8*T2^6 + 51*T1^9*T2^6 - 121*T1^10*T2^6 + 
     32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 + 17*T1^4*T2^7 - 
     26*T1^5*T2^7 + 221*T1^6*T2^7 - 99*T1^7*T2^7 - 21*T1^8*T2^7 - 
     148*T1^9*T2^7 + 125*T1^10*T2^7 + 4*T1^11*T2^7 - 16*T1^12*T2^7 + 
     12*T1^3*T2^8 + 9*T1^4*T2^8 - 105*T1^5*T2^8 + 63*T1^6*T2^8 - 
     21*T1^7*T2^8 + 167*T1^8*T2^8 - 69*T1^9*T2^8 + 13*T1^10*T2^8 - 
     44*T1^11*T2^8 + 20*T1^12*T2^8 - 3*T1^3*T2^9 - 28*T1^4*T2^9 + 
     80*T1^5*T2^9 + 51*T1^6*T2^9 - 148*T1^7*T2^9 - 69*T1^8*T2^9 - 
     93*T1^9*T2^9 + 135*T1^10*T2^9 - 12*T1^11*T2^9 - 12*T1^12*T2^9 + 
     10*T1^4*T2^10 + 8*T1^5*T2^10 - 121*T1^6*T2^10 + 125*T1^7*T2^10 + 
     13*T1^8*T2^10 + 135*T1^9*T2^10 - 81*T1^10*T2^10 - 32*T1^11*T2^10 + 
     20*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 + 4*T1^7*T2^11 - 
     44*T1^8*T2^11 - 12*T1^9*T2^11 - 32*T1^10*T2^11 + 52*T1^11*T2^11 - 
     16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 20*T1^8*T2^12 - 
     12*T1^9*T2^12 + 20*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 355] -> 
  {(1 - 3*T + 2*T^2 + T^3 + 2*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 4*T1^2 - 2*T1^3 - 4*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 3*T1^2*T2 + 12*T1^3*T2 + 15*T1^4*T2 - 12*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 4*T2^2 + 3*T1*T2^2 + 20*T1^2*T2^2 - 
     26*T1^3*T2^2 - 12*T1^4*T2^2 - 10*T1^5*T2^2 + 24*T1^6*T2^2 - 
     9*T1^7*T2^2 - 2*T2^3 + 12*T1*T2^3 - 26*T1^2*T2^3 + 25*T1^3*T2^3 - 
     5*T1^4*T2^3 + 16*T1^5*T2^3 - 5*T1^6*T2^3 + 4*T1^7*T2^3 - 3*T1^8*T2^3 + 
     T1^9*T2^3 - 4*T2^4 + 15*T1*T2^4 - 12*T1^2*T2^4 - 5*T1^3*T2^4 - 
     22*T1^4*T2^4 + 24*T1^5*T2^4 - 38*T1^6*T2^4 - 3*T1^7*T2^4 + 
     22*T1^8*T2^4 - 15*T1^9*T2^4 + 4*T1^10*T2^4 + 6*T2^5 - 12*T1*T2^5 - 
     10*T1^2*T2^5 + 16*T1^3*T2^5 + 24*T1^4*T2^5 + 29*T1^5*T2^5 - 
     3*T1^6*T2^5 + 4*T1^7*T2^5 - 43*T1^8*T2^5 + 16*T1^9*T2^5 + 
     15*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 24*T1^2*T2^6 - 
     5*T1^3*T2^6 - 38*T1^4*T2^6 - 3*T1^5*T2^6 - 48*T1^6*T2^6 + 47*T1^7*T2^6 + 
     18*T1^8*T2^6 + 49*T1^9*T2^6 - 64*T1^10*T2^6 + 15*T1^11*T2^6 + 
     4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 + 4*T1^3*T2^7 - 3*T1^4*T2^7 + 
     4*T1^5*T2^7 + 47*T1^6*T2^7 + 15*T1^7*T2^7 - 16*T1^8*T2^7 - 
     62*T1^9*T2^7 + 30*T1^10*T2^7 + 18*T1^11*T2^7 - 12*T1^12*T2^7 - 
     3*T1^3*T2^8 + 22*T1^4*T2^8 - 43*T1^5*T2^8 + 18*T1^6*T2^8 - 
     16*T1^7*T2^8 + 2*T1^8*T2^8 - 41*T1^9*T2^8 + 56*T1^10*T2^8 - 
     33*T1^11*T2^8 + 8*T1^12*T2^8 + T1^3*T2^9 - 15*T1^4*T2^9 + 16*T1^5*T2^9 + 
     49*T1^6*T2^9 - 62*T1^7*T2^9 - 41*T1^8*T2^9 + 19*T1^9*T2^9 + 
     46*T1^10*T2^9 - 30*T1^11*T2^9 + 4*T1^12*T2^9 + 4*T1^4*T2^10 + 
     15*T1^5*T2^10 - 64*T1^6*T2^10 + 30*T1^7*T2^10 + 56*T1^8*T2^10 + 
     46*T1^9*T2^10 - 60*T1^10*T2^10 + 3*T1^11*T2^10 + 8*T1^12*T2^10 - 
     9*T1^5*T2^11 + 15*T1^6*T2^11 + 18*T1^7*T2^11 - 33*T1^8*T2^11 - 
     30*T1^9*T2^11 + 3*T1^10*T2^11 + 27*T1^11*T2^11 - 12*T1^12*T2^11 + 
     4*T1^6*T2^12 - 12*T1^7*T2^12 + 8*T1^8*T2^12 + 4*T1^9*T2^12 + 
     8*T1^10*T2^12 - 12*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 356] -> 
  {-((1 - 5*T + 14*T^2 - 21*T^3 + 14*T^4 - 5*T^5 + T^6)/T^3), 
   -(((1 - 5*T1 + 14*T1^2 - 21*T1^3 + 14*T1^4 - 5*T1^5 + T1^6)*(1 + T1*T2)*
      (3 - 10*T1*T2 + 17*T1^2*T2^2 - 10*T1^3*T2^3 + 3*T1^4*T2^4)*
      (1 - 5*T2 + 14*T2^2 - 21*T2^3 + 14*T2^4 - 5*T2^5 + T2^6))/
     (T1^7*T2^6))}, Knot[12, NonAlternating, 357] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 96*T1^2 + 124*T1^3 - 96*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     297*T1*T2 + 621*T1^2*T2 - 468*T1^3*T2 + 27*T1^4*T2 + 324*T1^5*T2 - 
     207*T1^6*T2 + 27*T1^7*T2 - 96*T2^2 + 621*T1*T2^2 - 183*T1^2*T2^2 - 
     2352*T1^3*T2^2 + 3975*T1^4*T2^2 - 3408*T1^5*T2^2 + 921*T1^6*T2^2 + 
     189*T1^7*T2^2 - 48*T1^8*T2^2 + 124*T2^3 - 468*T1*T2^3 - 2352*T1^2*T2^3 + 
     7671*T1^3*T2^3 - 6949*T1^4*T2^3 + 1862*T1^5*T2^3 + 3519*T1^6*T2^3 - 
     2424*T1^7*T2^3 + 153*T1^8*T2^3 + 31*T1^9*T2^3 - 96*T2^4 + 27*T1*T2^4 + 
     3975*T1^2*T2^4 - 6949*T1^3*T2^4 - 1263*T1^4*T2^4 + 9681*T1^5*T2^4 - 
     11331*T1^6*T2^4 + 2909*T1^7*T2^4 + 1257*T1^8*T2^4 - 279*T1^9*T2^4 + 
     36*T2^5 + 324*T1*T2^5 - 3408*T1^2*T2^5 + 1862*T1^3*T2^5 + 
     9681*T1^4*T2^5 - 13421*T1^5*T2^5 + 6565*T1^6*T2^5 + 4785*T1^7*T2^5 - 
     4855*T1^8*T2^5 + 600*T1^9*T2^5 + 81*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     207*T1*T2^6 + 921*T1^2*T2^6 + 3519*T1^3*T2^6 - 11331*T1^4*T2^6 + 
     6565*T1^5*T2^6 + 5136*T1^6*T2^6 - 11381*T1^7*T2^6 + 5265*T1^8*T2^6 + 
     741*T1^9*T2^6 - 699*T1^10*T2^6 + 63*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 189*T1^2*T2^7 - 2424*T1^3*T2^7 + 2909*T1^4*T2^7 + 
     4785*T1^5*T2^7 - 11381*T1^6*T2^7 + 8605*T1^7*T2^7 - 111*T1^8*T2^7 - 
     3808*T1^9*T2^7 + 1584*T1^10*T2^7 - 54*T1^11*T2^7 - 18*T1^12*T2^7 - 
     48*T1^2*T2^8 + 153*T1^3*T2^8 + 1257*T1^4*T2^8 - 4855*T1^5*T2^8 + 
     5265*T1^6*T2^8 - 111*T1^7*T2^8 - 4803*T1^8*T2^8 + 5003*T1^9*T2^8 - 
     1461*T1^10*T2^8 - 153*T1^11*T2^8 + 48*T1^12*T2^8 + 31*T1^3*T2^9 - 
     279*T1^4*T2^9 + 600*T1^5*T2^9 + 741*T1^6*T2^9 - 3808*T1^7*T2^9 + 
     5003*T1^8*T2^9 - 3411*T1^9*T2^9 + 528*T1^10*T2^9 + 342*T1^11*T2^9 - 
     62*T1^12*T2^9 + 81*T1^5*T2^10 - 699*T1^6*T2^10 + 1584*T1^7*T2^10 - 
     1461*T1^8*T2^10 + 528*T1^9*T2^10 + 405*T1^10*T2^10 - 351*T1^11*T2^10 + 
     48*T1^12*T2^10 - 9*T1^5*T2^11 + 63*T1^6*T2^11 - 54*T1^7*T2^11 - 
     153*T1^8*T2^11 + 342*T1^9*T2^11 - 351*T1^10*T2^11 + 153*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 
     62*T1^9*T2^12 + 48*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 358] -> 
  {-((3 - 11*T + 15*T^2 - 11*T^3 + 3*T^4)/T^2), 
   -((-24 + 93*T1 - 130*T1^2 + 93*T1^3 - 24*T1^4 + 93*T2 - 365*T1*T2 + 
      505*T1^2*T2 - 353*T1^3*T2 + 97*T1^4*T2 - 6*T1^5*T2 - 130*T2^2 + 
      505*T1*T2^2 - 516*T1^2*T2^2 - 74*T1^3*T2^2 + 564*T1^4*T2^2 - 
      485*T1^5*T2^2 + 140*T1^6*T2^2 + 93*T2^3 - 353*T1*T2^3 - 74*T1^2*T2^3 + 
      1306*T1^3*T2^3 - 1598*T1^4*T2^3 + 751*T1^5*T2^3 + 241*T1^6*T2^3 - 
      204*T1^7*T2^3 - 24*T2^4 + 97*T1*T2^4 + 564*T1^2*T2^4 - 1598*T1^3*T2^4 + 
      672*T1^4*T2^4 + 910*T1^5*T2^4 - 1558*T1^6*T2^4 + 427*T1^7*T2^4 + 
      84*T1^8*T2^4 - 6*T1*T2^5 - 485*T1^2*T2^5 + 751*T1^3*T2^5 + 
      910*T1^4*T2^5 - 1994*T1^5*T2^5 + 1576*T1^6*T2^5 + 109*T1^7*T2^5 - 
      303*T1^8*T2^5 + 140*T1^2*T2^6 + 241*T1^3*T2^6 - 1558*T1^4*T2^6 + 
      1576*T1^5*T2^6 - 478*T1^6*T2^6 - 749*T1^7*T2^6 + 410*T1^8*T2^6 - 
      204*T1^3*T2^7 + 427*T1^4*T2^7 + 109*T1^5*T2^7 - 749*T1^6*T2^7 + 
      889*T1^7*T2^7 - 303*T1^8*T2^7 + 84*T1^4*T2^8 - 303*T1^5*T2^8 + 
      410*T1^6*T2^8 - 303*T1^7*T2^8 + 84*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 359] -> 
  {(3 - 17*T + 29*T^2 - 17*T^3 + 3*T^4)/T^2, 
   (-51 + 288*T1 - 491*T1^2 + 288*T1^3 - 51*T1^4 + 288*T2 - 1483*T1*T2 + 
     2001*T1^2*T2 - 345*T1^3*T2 - 463*T1^4*T2 + 135*T1^5*T2 - 491*T2^2 + 
     2001*T1*T2^2 - 486*T1^2*T2^2 - 4484*T1^3*T2^2 + 4038*T1^4*T2^2 - 
     957*T1^5*T2^2 + 31*T1^6*T2^2 + 288*T2^3 - 345*T1*T2^3 - 4484*T1^2*T2^3 + 
     11428*T1^3*T2^3 - 8190*T1^4*T2^3 + 939*T1^5*T2^3 + 777*T1^6*T2^3 - 
     171*T1^7*T2^3 - 51*T2^4 - 463*T1*T2^4 + 4038*T1^2*T2^4 - 
     8190*T1^3*T2^4 + 2880*T1^4*T2^4 + 6226*T1^5*T2^4 - 4744*T1^6*T2^4 + 
     659*T1^7*T2^4 + 57*T1^8*T2^4 + 135*T1*T2^5 - 957*T1^2*T2^5 + 
     939*T1^3*T2^5 + 6226*T1^4*T2^5 - 13392*T1^5*T2^5 + 6362*T1^6*T2^5 + 
     165*T1^7*T2^5 - 324*T1^8*T2^5 + 31*T1^2*T2^6 + 777*T1^3*T2^6 - 
     4744*T1^4*T2^6 + 6362*T1^5*T2^6 - 220*T1^6*T2^6 - 2181*T1^7*T2^6 + 
     553*T1^8*T2^6 - 171*T1^3*T2^7 + 659*T1^4*T2^7 + 165*T1^5*T2^7 - 
     2181*T1^6*T2^7 + 1679*T1^7*T2^7 - 324*T1^8*T2^7 + 57*T1^4*T2^8 - 
     324*T1^5*T2^8 + 553*T1^6*T2^8 - 324*T1^7*T2^8 + 57*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 360] -> 
  {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   (-63 + 255*T1 - 407*T1^2 + 255*T1^3 - 63*T1^4 + 255*T2 - 882*T1*T2 + 
     1048*T1^2*T2 - 68*T1^3*T2 - 342*T1^4*T2 + 147*T1^5*T2 - 407*T2^2 + 
     1048*T1*T2^2 - 303*T1^2*T2^2 - 1935*T1^3*T2^2 + 1521*T1^4*T2^2 - 
     320*T1^5*T2^2 - 65*T1^6*T2^2 + 255*T2^3 - 68*T1*T2^3 - 1935*T1^2*T2^3 + 
     3996*T1^3*T2^3 - 1452*T1^4*T2^3 - 567*T1^5*T2^3 + 544*T1^6*T2^3 - 
     69*T1^7*T2^3 - 63*T2^4 - 342*T1*T2^4 + 1521*T1^2*T2^4 - 1452*T1^3*T2^4 - 
     1836*T1^4*T2^4 + 2724*T1^5*T2^4 - 1251*T1^6*T2^4 + 90*T1^7*T2^4 + 
     45*T1^8*T2^4 + 147*T1*T2^5 - 320*T1^2*T2^5 - 567*T1^3*T2^5 + 
     2724*T1^4*T2^5 - 2724*T1^5*T2^5 + 801*T1^6*T2^5 + 292*T1^7*T2^5 - 
     177*T1^8*T2^5 - 65*T1^2*T2^6 + 544*T1^3*T2^6 - 1251*T1^4*T2^6 + 
     801*T1^5*T2^6 + 573*T1^6*T2^6 - 824*T1^7*T2^6 + 277*T1^8*T2^6 - 
     69*T1^3*T2^7 + 90*T1^4*T2^7 + 292*T1^5*T2^7 - 824*T1^6*T2^7 + 
     630*T1^7*T2^7 - 177*T1^8*T2^7 + 45*T1^4*T2^8 - 177*T1^5*T2^8 + 
     277*T1^6*T2^8 - 177*T1^7*T2^8 + 45*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 361] -> 
  {-((3 - 11*T + 15*T^2 - 15*T^3 + 15*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-138 + 505*T1 - 684*T1^2 + 682*T1^3 - 684*T1^4 + 505*T1^5 - 138*T1^6 + 
      505*T2 - 1443*T1*T2 + 1020*T1^2*T2 - 488*T1^3*T2 + 502*T1^4*T2 + 
      162*T1^5*T2 - 981*T1^6*T2 + 406*T1^7*T2 - 684*T2^2 + 1020*T1*T2^2 + 
      1632*T1^2*T2^2 - 2513*T1^3*T2^2 + 1976*T1^4*T2^2 - 2873*T1^5*T2^2 + 
      2712*T1^6*T2^2 + 30*T1^7*T2^2 - 414*T1^8*T2^2 + 682*T2^3 - 
      488*T1*T2^3 - 2513*T1^2*T2^3 + 1544*T1^3*T2^3 - 190*T1^4*T2^3 + 
      1250*T1^5*T2^3 - 316*T1^6*T2^3 - 2228*T1^7*T2^3 + 502*T1^8*T2^3 + 
      277*T1^9*T2^3 - 684*T2^4 + 502*T1*T2^4 + 1976*T1^2*T2^4 - 
      190*T1^3*T2^4 - 604*T1^4*T2^4 - 922*T1^5*T2^4 + 236*T1^6*T2^4 + 
      1070*T1^7*T2^4 + 1046*T1^8*T2^4 - 488*T1^9*T2^4 - 144*T1^10*T2^4 + 
      505*T2^5 + 162*T1*T2^5 - 2873*T1^2*T2^5 + 1250*T1^3*T2^5 - 
      922*T1^4*T2^5 + 2447*T1^5*T2^5 - 1363*T1^6*T2^5 - 337*T1^7*T2^5 - 
      550*T1^8*T2^5 - 578*T1^9*T2^5 + 492*T1^10*T2^5 + 10*T1^11*T2^5 - 
      138*T2^6 - 981*T1*T2^6 + 2712*T1^2*T2^6 - 316*T1^3*T2^6 + 
      236*T1^4*T2^6 - 1363*T1^5*T2^6 - 624*T1^6*T2^6 + 2051*T1^7*T2^6 - 
      814*T1^8*T2^6 + 1184*T1^9*T2^6 - 452*T1^10*T2^6 - 123*T1^11*T2^6 + 
      24*T1^12*T2^6 + 406*T1*T2^7 + 30*T1^2*T2^7 - 2228*T1^3*T2^7 + 
      1070*T1^4*T2^7 - 337*T1^5*T2^7 + 2051*T1^6*T2^7 - 1759*T1^7*T2^7 + 
      248*T1^8*T2^7 - 730*T1^9*T2^7 + 67*T1^10*T2^7 + 360*T1^11*T2^7 - 
      89*T1^12*T2^7 - 414*T1^2*T2^8 + 502*T1^3*T2^8 + 1046*T1^4*T2^8 - 
      550*T1^5*T2^8 - 814*T1^6*T2^8 + 248*T1^7*T2^8 + 26*T1^8*T2^8 + 
      710*T1^9*T2^8 + 116*T1^10*T2^8 - 488*T1^11*T2^8 + 126*T1^12*T2^8 + 
      277*T1^3*T2^9 - 488*T1^4*T2^9 - 578*T1^5*T2^9 + 1184*T1^6*T2^9 - 
      730*T1^7*T2^9 + 710*T1^8*T2^9 - 676*T1^9*T2^9 - 293*T1^10*T2^9 + 
      502*T1^11*T2^9 - 128*T1^12*T2^9 - 144*T1^4*T2^10 + 492*T1^5*T2^10 - 
      452*T1^6*T2^10 + 67*T1^7*T2^10 + 116*T1^8*T2^10 - 293*T1^9*T2^10 + 
      628*T1^10*T2^10 - 498*T1^11*T2^10 + 126*T1^12*T2^10 + 10*T1^5*T2^11 - 
      123*T1^6*T2^11 + 360*T1^7*T2^11 - 488*T1^8*T2^11 + 502*T1^9*T2^11 - 
      498*T1^10*T2^11 + 339*T1^11*T2^11 - 89*T1^12*T2^11 + 24*T1^6*T2^12 - 
      89*T1^7*T2^12 + 126*T1^8*T2^12 - 128*T1^9*T2^12 + 126*T1^10*T2^12 - 
      89*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 362] -> 
  {(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 14*T1^2 + 14*T1^3 - 14*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 40*T1^2*T2 - 28*T1^3*T2 + 28*T1^4*T2 - 4*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 14*T2^2 + 40*T1*T2^2 - 37*T1^2*T2^2 - 
     2*T1^3*T2^2 - 7*T1^4*T2^2 - 44*T1^5*T2^2 + 47*T1^6*T2^2 - 16*T1^7*T2^2 + 
     14*T2^3 - 28*T1*T2^3 - 2*T1^2*T2^3 + 59*T1^3*T2^3 - 36*T1^4*T2^3 + 
     125*T1^5*T2^3 - 81*T1^6*T2^3 - 9*T1^7*T2^3 + 28*T1^8*T2^3 - 
     7*T1^9*T2^3 - 14*T2^4 + 28*T1*T2^4 - 7*T1^2*T2^4 - 36*T1^3*T2^4 - 
     130*T1^5*T2^4 + 104*T1^7*T2^4 - 35*T1^8*T2^4 - 28*T1^9*T2^4 + 
     14*T1^10*T2^4 + 8*T2^5 - 4*T1*T2^5 - 44*T1^2*T2^5 + 125*T1^3*T2^5 - 
     130*T1^4*T2^5 + 223*T1^5*T2^5 + 85*T1^6*T2^5 - 137*T1^7*T2^5 - 
     78*T1^8*T2^5 + 103*T1^9*T2^5 - 8*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 
     8*T1*T2^6 + 47*T1^2*T2^6 - 81*T1^3*T2^6 + 85*T1^5*T2^6 - 360*T1^6*T2^6 + 
     151*T1^7*T2^6 + 182*T1^8*T2^6 - 67*T1^9*T2^6 - 69*T1^10*T2^6 + 
     32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 - 9*T1^3*T2^7 + 
     104*T1^4*T2^7 - 137*T1^5*T2^7 + 151*T1^6*T2^7 + 13*T1^7*T2^7 - 
     144*T1^8*T2^7 - 99*T1^9*T2^7 + 138*T1^10*T2^7 - 20*T1^11*T2^7 - 
     16*T1^12*T2^7 + 28*T1^3*T2^8 - 35*T1^4*T2^8 - 78*T1^5*T2^8 + 
     182*T1^6*T2^8 - 144*T1^7*T2^8 + 182*T1^8*T2^8 + 62*T1^9*T2^8 - 
     63*T1^10*T2^8 - 28*T1^11*T2^8 + 28*T1^12*T2^8 - 7*T1^3*T2^9 - 
     28*T1^4*T2^9 + 103*T1^5*T2^9 - 67*T1^6*T2^9 - 99*T1^7*T2^9 + 
     62*T1^8*T2^9 - 207*T1^9*T2^9 + 96*T1^10*T2^9 + 28*T1^11*T2^9 - 
     28*T1^12*T2^9 + 14*T1^4*T2^10 - 8*T1^5*T2^10 - 69*T1^6*T2^10 + 
     138*T1^7*T2^10 - 63*T1^8*T2^10 + 96*T1^9*T2^10 + 15*T1^10*T2^10 - 
     64*T1^11*T2^10 + 28*T1^12*T2^10 - 12*T1^5*T2^11 + 32*T1^6*T2^11 - 
     20*T1^7*T2^11 - 28*T1^8*T2^11 + 28*T1^9*T2^11 - 64*T1^10*T2^11 + 
     52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 16*T1^7*T2^12 + 
     28*T1^8*T2^12 - 28*T1^9*T2^12 + 28*T1^10*T2^12 - 16*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 363] -> 
  {((1 - T + T^2)*(1 - 7*T + 13*T^2 - 7*T^3 + T^4))/T^3, 
   (-2 + 16*T1 - 42*T1^2 + 54*T1^3 - 42*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     118*T1*T2 + 269*T1^2*T2 - 265*T1^3*T2 + 119*T1^4*T2 + 37*T1^5*T2 - 
     46*T1^6*T2 + 8*T1^7*T2 - 42*T2^2 + 269*T1*T2^2 - 399*T1^2*T2^2 - 
     113*T1^3*T2^2 + 753*T1^4*T2^2 - 911*T1^5*T2^2 + 441*T1^6*T2^2 - 
     67*T1^7*T2^2 + 54*T2^3 - 265*T1*T2^3 - 113*T1^2*T2^3 + 1849*T1^3*T2^3 - 
     3160*T1^4*T2^3 + 2555*T1^5*T2^3 - 755*T1^6*T2^3 - 302*T1^7*T2^3 + 
     215*T1^8*T2^3 - 27*T1^9*T2^3 - 42*T2^4 + 119*T1*T2^4 + 753*T1^2*T2^4 - 
     3160*T1^3*T2^4 + 3711*T1^4*T2^4 - 445*T1^5*T2^4 - 2817*T1^6*T2^4 + 
     3212*T1^7*T2^4 - 939*T1^8*T2^4 - 121*T1^9*T2^4 + 42*T1^10*T2^4 + 
     16*T2^5 + 37*T1*T2^5 - 911*T1^2*T2^5 + 2555*T1^3*T2^5 - 445*T1^4*T2^5 - 
     5745*T1^5*T2^5 + 7215*T1^6*T2^5 - 3616*T1^7*T2^5 - 1846*T1^8*T2^5 + 
     1714*T1^9*T2^5 - 147*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 46*T1*T2^6 + 
     441*T1^2*T2^6 - 755*T1^3*T2^6 - 2817*T1^4*T2^6 + 7215*T1^5*T2^6 - 
     2328*T1^6*T2^6 - 4471*T1^7*T2^6 + 8037*T1^8*T2^6 - 2597*T1^9*T2^6 - 
     599*T1^10*T2^6 + 162*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     67*T1^2*T2^7 - 302*T1^3*T2^7 + 3212*T1^4*T2^7 - 3616*T1^5*T2^7 - 
     4471*T1^6*T2^7 + 8489*T1^7*T2^7 - 6787*T1^8*T2^7 - 1189*T1^9*T2^7 + 
     2323*T1^10*T2^7 - 251*T1^11*T2^7 - 32*T1^12*T2^7 + 215*T1^3*T2^8 - 
     939*T1^4*T2^8 - 1846*T1^5*T2^8 + 8037*T1^6*T2^8 - 6787*T1^7*T2^8 + 
     1509*T1^8*T2^8 + 4526*T1^9*T2^8 - 2631*T1^10*T2^8 - 25*T1^11*T2^8 + 
     84*T1^12*T2^8 - 27*T1^3*T2^9 - 121*T1^4*T2^9 + 1714*T1^5*T2^9 - 
     2597*T1^6*T2^9 - 1189*T1^7*T2^9 + 4526*T1^8*T2^9 - 5201*T1^9*T2^9 + 
     1525*T1^10*T2^9 + 359*T1^11*T2^9 - 108*T1^12*T2^9 + 42*T1^4*T2^10 - 
     147*T1^5*T2^10 - 599*T1^6*T2^10 + 2323*T1^7*T2^10 - 2631*T1^8*T2^10 + 
     1525*T1^9*T2^10 + 241*T1^10*T2^10 - 483*T1^11*T2^10 + 84*T1^12*T2^10 - 
     24*T1^5*T2^11 + 162*T1^6*T2^11 - 251*T1^7*T2^11 - 25*T1^8*T2^11 + 
     359*T1^9*T2^11 - 483*T1^10*T2^11 + 234*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 84*T1^8*T2^12 - 108*T1^9*T2^12 + 
     84*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 364] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-31 + 170*T1 - 354*T1^2 + 415*T1^3 - 354*T1^4 + 170*T1^5 - 31*T1^6 + 
     170*T2 - 806*T1*T2 + 1251*T1^2*T2 - 841*T1^3*T2 + 259*T1^4*T2 + 
     503*T1^5*T2 - 520*T1^6*T2 + 126*T1^7*T2 - 354*T2^2 + 1251*T1*T2^2 - 
     438*T1^2*T2^2 - 2193*T1^3*T2^2 + 3268*T1^4*T2^2 - 3665*T1^5*T2^2 + 
     1494*T1^6*T2^2 + 239*T1^7*T2^2 - 170*T1^8*T2^2 + 415*T2^3 - 
     841*T1*T2^3 - 2193*T1^2*T2^3 + 5903*T1^3*T2^3 - 4528*T1^4*T2^3 + 
     2614*T1^5*T2^3 + 1999*T1^6*T2^3 - 2630*T1^7*T2^3 + 435*T1^8*T2^3 + 
     91*T1^9*T2^3 - 354*T2^4 + 259*T1*T2^4 + 3268*T1^2*T2^4 - 
     4528*T1^3*T2^4 - 1040*T1^4*T2^4 + 3964*T1^5*T2^4 - 6680*T1^6*T2^4 + 
     2978*T1^7*T2^4 + 966*T1^8*T2^4 - 577*T1^9*T2^4 + 14*T1^10*T2^4 + 
     170*T2^5 + 503*T1*T2^5 - 3665*T1^2*T2^5 + 2614*T1^3*T2^5 + 
     3964*T1^4*T2^5 - 4202*T1^5*T2^5 + 2472*T1^6*T2^5 + 2331*T1^7*T2^5 - 
     3800*T1^8*T2^5 + 912*T1^9*T2^5 + 195*T1^10*T2^5 - 50*T1^11*T2^5 - 
     31*T2^6 - 520*T1*T2^6 + 1494*T1^2*T2^6 + 1999*T1^3*T2^6 - 
     6680*T1^4*T2^6 + 2472*T1^5*T2^6 + 2388*T1^6*T2^6 - 4556*T1^7*T2^6 + 
     3022*T1^8*T2^6 + 845*T1^9*T2^6 - 1162*T1^10*T2^6 + 184*T1^11*T2^6 + 
     17*T1^12*T2^6 + 126*T1*T2^7 + 239*T1^2*T2^7 - 2630*T1^3*T2^7 + 
     2978*T1^4*T2^7 + 2331*T1^5*T2^7 - 4556*T1^6*T2^7 + 2118*T1^7*T2^7 + 
     698*T1^8*T2^7 - 3436*T1^9*T2^7 + 1947*T1^10*T2^7 - 69*T1^11*T2^7 - 
     94*T1^12*T2^7 - 170*T1^2*T2^8 + 435*T1^3*T2^8 + 966*T1^4*T2^8 - 
     3800*T1^5*T2^8 + 3022*T1^6*T2^8 + 698*T1^7*T2^8 - 2618*T1^8*T2^8 + 
     3706*T1^9*T2^8 - 1336*T1^10*T2^8 - 401*T1^11*T2^8 + 198*T1^12*T2^8 + 
     91*T1^3*T2^9 - 577*T1^4*T2^9 + 912*T1^5*T2^9 + 845*T1^6*T2^9 - 
     3436*T1^7*T2^9 + 3706*T1^8*T2^9 - 3059*T1^9*T2^9 + 475*T1^10*T2^9 + 
     699*T1^11*T2^9 - 233*T1^12*T2^9 + 14*T1^4*T2^10 + 195*T1^5*T2^10 - 
     1162*T1^6*T2^10 + 1947*T1^7*T2^10 - 1336*T1^8*T2^10 + 475*T1^9*T2^10 + 
     770*T1^10*T2^10 - 817*T1^11*T2^10 + 198*T1^12*T2^10 - 50*T1^5*T2^11 + 
     184*T1^6*T2^11 - 69*T1^7*T2^11 - 401*T1^8*T2^11 + 699*T1^9*T2^11 - 
     817*T1^10*T2^11 + 470*T1^11*T2^11 - 94*T1^12*T2^11 + 17*T1^6*T2^12 - 
     94*T1^7*T2^12 + 198*T1^8*T2^12 - 233*T1^9*T2^12 + 198*T1^10*T2^12 - 
     94*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 365] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^3, 
   (-17 + 94*T1 - 198*T1^2 + 233*T1^3 - 198*T1^4 + 94*T1^5 - 17*T1^6 + 
     94*T2 - 470*T1*T2 + 817*T1^2*T2 - 699*T1^3*T2 + 401*T1^4*T2 + 
     69*T1^5*T2 - 184*T1^6*T2 + 50*T1^7*T2 - 198*T2^2 + 817*T1*T2^2 - 
     770*T1^2*T2^2 - 475*T1^3*T2^2 + 1336*T1^4*T2^2 - 1947*T1^5*T2^2 + 
     1162*T1^6*T2^2 - 195*T1^7*T2^2 - 14*T1^8*T2^2 + 233*T2^3 - 699*T1*T2^3 - 
     475*T1^2*T2^3 + 3059*T1^3*T2^3 - 3706*T1^4*T2^3 + 3436*T1^5*T2^3 - 
     845*T1^6*T2^3 - 912*T1^7*T2^3 + 577*T1^8*T2^3 - 91*T1^9*T2^3 - 
     198*T2^4 + 401*T1*T2^4 + 1336*T1^2*T2^4 - 3706*T1^3*T2^4 + 
     2618*T1^4*T2^4 - 698*T1^5*T2^4 - 3022*T1^6*T2^4 + 3800*T1^7*T2^4 - 
     966*T1^8*T2^4 - 435*T1^9*T2^4 + 170*T1^10*T2^4 + 94*T2^5 + 69*T1*T2^5 - 
     1947*T1^2*T2^5 + 3436*T1^3*T2^5 - 698*T1^4*T2^5 - 2118*T1^5*T2^5 + 
     4556*T1^6*T2^5 - 2331*T1^7*T2^5 - 2978*T1^8*T2^5 + 2630*T1^9*T2^5 - 
     239*T1^10*T2^5 - 126*T1^11*T2^5 - 17*T2^6 - 184*T1*T2^6 + 
     1162*T1^2*T2^6 - 845*T1^3*T2^6 - 3022*T1^4*T2^6 + 4556*T1^5*T2^6 - 
     2388*T1^6*T2^6 - 2472*T1^7*T2^6 + 6680*T1^8*T2^6 - 1999*T1^9*T2^6 - 
     1494*T1^10*T2^6 + 520*T1^11*T2^6 + 31*T1^12*T2^6 + 50*T1*T2^7 - 
     195*T1^2*T2^7 - 912*T1^3*T2^7 + 3800*T1^4*T2^7 - 2331*T1^5*T2^7 - 
     2472*T1^6*T2^7 + 4202*T1^7*T2^7 - 3964*T1^8*T2^7 - 2614*T1^9*T2^7 + 
     3665*T1^10*T2^7 - 503*T1^11*T2^7 - 170*T1^12*T2^7 - 14*T1^2*T2^8 + 
     577*T1^3*T2^8 - 966*T1^4*T2^8 - 2978*T1^5*T2^8 + 6680*T1^6*T2^8 - 
     3964*T1^7*T2^8 + 1040*T1^8*T2^8 + 4528*T1^9*T2^8 - 3268*T1^10*T2^8 - 
     259*T1^11*T2^8 + 354*T1^12*T2^8 - 91*T1^3*T2^9 - 435*T1^4*T2^9 + 
     2630*T1^5*T2^9 - 1999*T1^6*T2^9 - 2614*T1^7*T2^9 + 4528*T1^8*T2^9 - 
     5903*T1^9*T2^9 + 2193*T1^10*T2^9 + 841*T1^11*T2^9 - 415*T1^12*T2^9 + 
     170*T1^4*T2^10 - 239*T1^5*T2^10 - 1494*T1^6*T2^10 + 3665*T1^7*T2^10 - 
     3268*T1^8*T2^10 + 2193*T1^9*T2^10 + 438*T1^10*T2^10 - 1251*T1^11*T2^10 + 
     354*T1^12*T2^10 - 126*T1^5*T2^11 + 520*T1^6*T2^11 - 503*T1^7*T2^11 - 
     259*T1^8*T2^11 + 841*T1^9*T2^11 - 1251*T1^10*T2^11 + 806*T1^11*T2^11 - 
     170*T1^12*T2^11 + 31*T1^6*T2^12 - 170*T1^7*T2^12 + 354*T1^8*T2^12 - 
     415*T1^9*T2^12 + 354*T1^10*T2^12 - 170*T1^11*T2^12 + 31*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 366] -> 
  {(1 + 2*T - 8*T^2 + 11*T^3 - 8*T^4 + 2*T^5 + T^6)/T^3, 
   (6*T1 - 16*T1^2 + 22*T1^3 - 14*T1^4 + 2*T1^5 + 2*T1^6 + 6*T2 - 17*T1*T2 - 
     16*T1^2*T2 + 95*T1^3*T2 - 160*T1^4*T2 + 127*T1^5*T2 - 26*T1^6*T2 - 
     16*T1^7*T2 - 16*T2^2 - 16*T1*T2^2 - 45*T1^2*T2^2 + 231*T1^3*T2^2 - 
     403*T1^4*T2^2 + 445*T1^5*T2^2 - 296*T1^6*T2^2 + 34*T1^7*T2^2 + 
     33*T1^8*T2^2 + 22*T2^3 + 95*T1*T2^3 + 231*T1^2*T2^3 - 550*T1^3*T2^3 + 
     378*T1^4*T2^3 + 134*T1^5*T2^3 - 517*T1^6*T2^3 + 439*T1^7*T2^3 + 
     2*T1^8*T2^3 - 32*T1^9*T2^3 - 14*T2^4 - 160*T1*T2^4 - 403*T1^2*T2^4 + 
     378*T1^3*T2^4 + 318*T1^4*T2^4 - 864*T1^5*T2^4 + 698*T1^6*T2^4 + 
     3*T1^7*T2^4 - 424*T1^8*T2^4 - 42*T1^9*T2^4 + 10*T1^10*T2^4 + 2*T2^5 + 
     127*T1*T2^5 + 445*T1^2*T2^5 + 134*T1^3*T2^5 - 864*T1^4*T2^5 + 
     720*T1^5*T2^5 + 156*T1^6*T2^5 - 890*T1^7*T2^5 + 639*T1^8*T2^5 + 
     239*T1^9*T2^5 + 30*T1^10*T2^5 + 6*T1^11*T2^5 + 2*T2^6 - 26*T1*T2^6 - 
     296*T1^2*T2^6 - 517*T1^3*T2^6 + 698*T1^4*T2^6 + 156*T1^5*T2^6 - 
     1026*T1^6*T2^6 + 1018*T1^7*T2^6 - 111*T1^8*T2^6 - 560*T1^9*T2^6 - 
     54*T1^10*T2^6 + 12*T1^11*T2^6 - 16*T1*T2^7 + 34*T1^2*T2^7 + 
     439*T1^3*T2^7 + 3*T1^4*T2^7 - 890*T1^5*T2^7 + 1018*T1^6*T2^7 - 
     206*T1^7*T2^7 - 745*T1^8*T2^7 + 783*T1^9*T2^7 + 14*T1^10*T2^7 - 
     48*T1^11*T2^7 + 33*T1^2*T2^8 + 2*T1^3*T2^8 - 424*T1^4*T2^8 + 
     639*T1^5*T2^8 - 111*T1^6*T2^8 - 745*T1^7*T2^8 + 1129*T1^8*T2^8 - 
     704*T1^9*T2^8 + 52*T1^10*T2^8 + 66*T1^11*T2^8 - 32*T1^3*T2^9 - 
     42*T1^4*T2^9 + 239*T1^5*T2^9 - 560*T1^6*T2^9 + 783*T1^7*T2^9 - 
     704*T1^8*T2^9 + 383*T1^9*T2^9 - 74*T1^10*T2^9 - 48*T1^11*T2^9 + 
     10*T1^4*T2^10 + 30*T1^5*T2^10 - 54*T1^6*T2^10 + 14*T1^7*T2^10 + 
     52*T1^8*T2^10 - 74*T1^9*T2^10 + 32*T1^10*T2^10 + 12*T1^11*T2^10 + 
     6*T1^5*T2^11 + 12*T1^6*T2^11 - 48*T1^7*T2^11 + 66*T1^8*T2^11 - 
     48*T1^9*T2^11 + 12*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 367] -> 
  {-((1 - 10*T + 30*T^2 - 43*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3), 
   -((-3 + 30*T1 - 90*T1^2 + 129*T1^3 - 90*T1^4 + 30*T1^5 - 3*T1^6 + 30*T2 - 
      280*T1*T2 + 699*T1^2*T2 - 689*T1^3*T2 + 41*T1^4*T2 + 299*T1^5*T2 - 
      170*T1^6*T2 + 20*T1^7*T2 - 90*T2^2 + 699*T1*T2^2 - 727*T1^2*T2^2 - 
      1822*T1^3*T2^2 + 4981*T1^4*T2^2 - 3802*T1^5*T2^2 + 1013*T1^6*T2^2 + 
      99*T1^7*T2^2 - 30*T1^8*T2^2 + 129*T2^3 - 689*T1*T2^3 - 1822*T1^2*T2^3 + 
      9407*T1^3*T2^3 - 12903*T1^4*T2^3 + 3837*T1^5*T2^3 + 3083*T1^6*T2^3 - 
      2392*T1^7*T2^3 + 301*T1^8*T2^3 - 90*T2^4 + 41*T1*T2^4 + 
      4981*T1^2*T2^4 - 12903*T1^3*T2^4 + 7443*T1^4*T2^4 + 13315*T1^5*T2^4 - 
      17457*T1^6*T2^4 + 6877*T1^7*T2^4 - 19*T1^8*T2^4 - 299*T1^9*T2^4 + 
      30*T1^10*T2^4 + 30*T2^5 + 299*T1*T2^5 - 3802*T1^2*T2^5 + 
      3837*T1^3*T2^5 + 13315*T1^4*T2^5 - 34754*T1^5*T2^5 + 23966*T1^6*T2^5 - 
      185*T1^7*T2^5 - 6823*T1^8*T2^5 + 2408*T1^9*T2^5 - 101*T1^10*T2^5 - 
      20*T1^11*T2^5 - 3*T2^6 - 170*T1*T2^6 + 1013*T1^2*T2^6 + 
      3083*T1^3*T2^6 - 17457*T1^4*T2^6 + 23966*T1^5*T2^6 + 48*T1^6*T2^6 - 
      23894*T1^7*T2^6 + 17723*T1^8*T2^6 - 3175*T1^9*T2^6 - 1007*T1^10*T2^6 + 
      170*T1^11*T2^6 + 3*T1^12*T2^6 + 20*T1*T2^7 + 99*T1^2*T2^7 - 
      2392*T1^3*T2^7 + 6877*T1^4*T2^7 - 185*T1^5*T2^7 - 23894*T1^6*T2^7 + 
      34826*T1^7*T2^7 - 13685*T1^8*T2^7 - 3783*T1^9*T2^7 + 3818*T1^10*T2^7 - 
      301*T1^11*T2^7 - 30*T1^12*T2^7 - 30*T1^2*T2^8 + 301*T1^3*T2^8 - 
      19*T1^4*T2^8 - 6823*T1^5*T2^8 + 17723*T1^6*T2^8 - 13685*T1^7*T2^8 - 
      7177*T1^8*T2^8 + 12957*T1^9*T2^8 - 5019*T1^10*T2^8 - 39*T1^11*T2^8 + 
      90*T1^12*T2^8 - 299*T1^4*T2^9 + 2408*T1^5*T2^9 - 3175*T1^6*T2^9 - 
      3783*T1^7*T2^9 + 12957*T1^8*T2^9 - 9499*T1^9*T2^9 + 1838*T1^10*T2^9 + 
      691*T1^11*T2^9 - 129*T1^12*T2^9 + 30*T1^4*T2^10 - 101*T1^5*T2^10 - 
      1007*T1^6*T2^10 + 3818*T1^7*T2^10 - 5019*T1^8*T2^10 + 1838*T1^9*T2^10 + 
      733*T1^10*T2^10 - 701*T1^11*T2^10 + 90*T1^12*T2^10 - 20*T1^5*T2^11 + 
      170*T1^6*T2^11 - 301*T1^7*T2^11 - 39*T1^8*T2^11 + 691*T1^9*T2^11 - 
      701*T1^10*T2^11 + 280*T1^11*T2^11 - 30*T1^12*T2^11 + 3*T1^6*T2^12 - 
      30*T1^7*T2^12 + 90*T1^8*T2^12 - 129*T1^9*T2^12 + 90*T1^10*T2^12 - 
      30*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 368] -> 
  {-(((1 - T + T^2)*(1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6))/T^4), 
   -((-7 + 28*T1 - 35*T1^2 + 21*T1^3 - 7*T1^4 + 21*T1^5 - 35*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 + 44*T1^2*T2 + 36*T1^3*T2 - 44*T1^4*T2 - 
      60*T1^5*T2 + 68*T1^6*T2 + 8*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      35*T2^2 + 44*T1*T2^2 + 181*T1^2*T2^2 - 270*T1^3*T2^2 + 122*T1^4*T2^2 + 
      89*T1^5*T2^2 + 82*T1^6*T2^2 - 260*T1^7*T2^2 + 221*T1^8*T2^2 + 
      4*T1^9*T2^2 - 25*T1^10*T2^2 + 21*T2^3 + 36*T1*T2^3 - 270*T1^2*T2^3 + 
      145*T1^3*T2^3 + 118*T1^4*T2^3 - 183*T1^5*T2^3 - 191*T1^6*T2^3 + 
      233*T1^7*T2^3 + T1^8*T2^3 - 215*T1^9*T2^3 + 52*T1^10*T2^3 + 
      12*T1^11*T2^3 - 7*T2^4 - 44*T1*T2^4 + 122*T1^2*T2^4 + 118*T1^3*T2^4 - 
      236*T1^4*T2^4 + 94*T1^5*T2^4 + 186*T1^6*T2^4 + 2*T1^7*T2^4 - 
      212*T1^8*T2^4 + 202*T1^9*T2^4 + 46*T1^10*T2^4 - 36*T1^11*T2^4 - 
      3*T1^12*T2^4 + 21*T2^5 - 60*T1*T2^5 + 89*T1^2*T2^5 - 183*T1^3*T2^5 + 
      94*T1^4*T2^5 + 20*T1^5*T2^5 - 44*T1^6*T2^5 - 143*T1^7*T2^5 + 
      140*T1^8*T2^5 - 8*T1^9*T2^5 - 123*T1^10*T2^5 + 47*T1^11*T2^5 - 
      12*T1^12*T2^5 + 6*T1^13*T2^5 - 35*T2^6 + 68*T1*T2^6 + 82*T1^2*T2^6 - 
      191*T1^3*T2^6 + 186*T1^4*T2^6 - 44*T1^5*T2^6 + 29*T1^6*T2^6 - 
      87*T1^7*T2^6 + 157*T1^8*T2^6 - 124*T1^9*T2^6 + 112*T1^10*T2^6 - 
      81*T1^11*T2^6 + 50*T1^12*T2^6 - 4*T1^13*T2^6 - 5*T1^14*T2^6 + 28*T2^7 + 
      8*T1*T2^7 - 260*T1^2*T2^7 + 233*T1^3*T2^7 + 2*T1^4*T2^7 - 
      143*T1^5*T2^7 - 87*T1^6*T2^7 + 262*T1^7*T2^7 - 150*T1^8*T2^7 - 
      28*T1^9*T2^7 - 6*T1^10*T2^7 + 64*T1^11*T2^7 - 6*T1^12*T2^7 - 
      45*T1^13*T2^7 + 20*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 221*T1^2*T2^8 + 
      T1^3*T2^8 - 212*T1^4*T2^8 + 140*T1^5*T2^8 + 157*T1^6*T2^8 - 
      150*T1^7*T2^8 - 132*T1^8*T2^8 + 230*T1^9*T2^8 - 73*T1^10*T2^8 - 
      16*T1^11*T2^8 - 64*T1^12*T2^8 + 75*T1^13*T2^8 - 23*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 4*T1^2*T2^9 - 215*T1^3*T2^9 + 
      202*T1^4*T2^9 - 8*T1^5*T2^9 - 124*T1^6*T2^9 - 28*T1^7*T2^9 + 
      230*T1^8*T2^9 - 182*T1^9*T2^9 + 31*T1^10*T2^9 + 13*T1^11*T2^9 + 
      54*T1^12*T2^9 - 37*T1^13*T2^9 + 16*T1^15*T2^9 - 4*T1^16*T2^9 - 
      25*T1^2*T2^10 + 52*T1^3*T2^10 + 46*T1^4*T2^10 - 123*T1^5*T2^10 + 
      112*T1^6*T2^10 - 6*T1^7*T2^10 - 73*T1^8*T2^10 + 31*T1^9*T2^10 + 
      55*T1^10*T2^10 - 86*T1^11*T2^10 + 38*T1^12*T2^10 - 13*T1^13*T2^10 + 
      14*T1^14*T2^10 - 20*T1^15*T2^10 + 5*T1^16*T2^10 + 12*T1^3*T2^11 - 
      36*T1^4*T2^11 + 47*T1^5*T2^11 - 81*T1^6*T2^11 + 64*T1^7*T2^11 - 
      16*T1^8*T2^11 + 13*T1^9*T2^11 - 86*T1^10*T2^11 + 104*T1^11*T2^11 - 
      38*T1^12*T2^11 - 21*T1^13*T2^11 + 5*T1^14*T2^11 + 12*T1^15*T2^11 - 
      3*T1^16*T2^11 - 3*T1^4*T2^12 - 12*T1^5*T2^12 + 50*T1^6*T2^12 - 
      6*T1^7*T2^12 - 64*T1^8*T2^12 + 54*T1^9*T2^12 + 38*T1^10*T2^12 - 
      38*T1^11*T2^12 - 40*T1^12*T2^12 + 78*T1^13*T2^12 - 26*T1^14*T2^12 - 
      4*T1^15*T2^12 + T1^16*T2^12 + 6*T1^5*T2^13 - 4*T1^6*T2^13 - 
      45*T1^7*T2^13 + 75*T1^8*T2^13 - 37*T1^9*T2^13 - 13*T1^10*T2^13 - 
      21*T1^11*T2^13 + 78*T1^12*T2^13 - 69*T1^13*T2^13 + 10*T1^14*T2^13 + 
      12*T1^15*T2^13 - 3*T1^16*T2^13 - 5*T1^6*T2^14 + 20*T1^7*T2^14 - 
      23*T1^8*T2^14 + 14*T1^10*T2^14 + 5*T1^11*T2^14 - 26*T1^12*T2^14 + 
      10*T1^13*T2^14 + 17*T1^14*T2^14 - 20*T1^15*T2^14 + 5*T1^16*T2^14 - 
      4*T1^8*T2^15 + 16*T1^9*T2^15 - 20*T1^10*T2^15 + 12*T1^11*T2^15 - 
      4*T1^12*T2^15 + 12*T1^13*T2^15 - 20*T1^14*T2^15 + 16*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 5*T1^10*T2^16 - 
      3*T1^11*T2^16 + T1^12*T2^16 - 3*T1^13*T2^16 + 5*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 369] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((-5 + 20*T1 - 45*T1^2 + 75*T1^3 - 85*T1^4 + 75*T1^5 - 45*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 156*T1^3*T2 + 
      100*T1^4*T2 - 28*T1^5*T2 - 60*T1^6*T2 + 64*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 175*T1^2*T2^2 + 203*T1^3*T2^2 - 
      38*T1^4*T2^2 - 23*T1^5*T2^2 + 106*T1^6*T2^2 + 5*T1^7*T2^2 - 
      31*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 75*T2^3 - 156*T1*T2^3 + 
      203*T1^2*T2^3 - 219*T1^3*T2^3 - 56*T1^4*T2^3 - 8*T1^5*T2^3 - 
      80*T1^6*T2^3 - 137*T1^7*T2^3 + 33*T1^8*T2^3 - 22*T1^9*T2^3 - 
      12*T1^10*T2^3 + 30*T1^11*T2^3 - 85*T2^4 + 100*T1*T2^4 - 38*T1^2*T2^4 - 
      56*T1^3*T2^4 + 460*T1^4*T2^4 - 177*T1^5*T2^4 + 292*T1^6*T2^4 + 
      35*T1^7*T2^4 + 228*T1^8*T2^4 - 116*T1^9*T2^4 + 94*T1^10*T2^4 - 
      52*T1^11*T2^4 - 17*T1^12*T2^4 + 75*T2^5 - 28*T1*T2^5 - 23*T1^2*T2^5 - 
      8*T1^3*T2^5 - 177*T1^4*T2^5 - 440*T1^5*T2^5 + 120*T1^6*T2^5 - 
      279*T1^7*T2^5 - 284*T1^8*T2^5 + 57*T1^9*T2^5 - 44*T1^10*T2^5 - 
      17*T1^11*T2^5 + 68*T1^12*T2^5 - 45*T2^6 - 60*T1*T2^6 + 106*T1^2*T2^6 - 
      80*T1^3*T2^6 + 292*T1^4*T2^6 + 120*T1^5*T2^6 + 653*T1^6*T2^6 - 
      565*T1^7*T2^6 + 893*T1^8*T2^6 - 216*T1^9*T2^6 + 58*T1^10*T2^6 + 
      46*T1^11*T2^6 - 62*T1^12*T2^6 - 36*T1^13*T2^6 + 9*T1^14*T2^6 + 
      20*T2^7 + 64*T1*T2^7 + 5*T1^2*T2^7 - 137*T1^3*T2^7 + 35*T1^4*T2^7 - 
      279*T1^5*T2^7 - 565*T1^6*T2^7 + 324*T1^7*T2^7 - 316*T1^8*T2^7 - 
      322*T1^9*T2^7 + 246*T1^10*T2^7 - 111*T1^11*T2^7 + 28*T1^12*T2^7 + 
      68*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 
      31*T1^2*T2^8 + 33*T1^3*T2^8 + 228*T1^4*T2^8 - 284*T1^5*T2^8 + 
      893*T1^6*T2^8 - 316*T1^7*T2^8 - 84*T1^8*T2^8 + 456*T1^9*T2^8 - 
      241*T1^10*T2^8 - 32*T1^11*T2^8 + 40*T1^12*T2^8 - 69*T1^13*T2^8 - 
      19*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      44*T1^2*T2^9 - 22*T1^3*T2^9 - 116*T1^4*T2^9 + 57*T1^5*T2^9 - 
      216*T1^6*T2^9 - 322*T1^7*T2^9 + 456*T1^8*T2^9 - 184*T1^9*T2^9 - 
      79*T1^10*T2^9 + 309*T1^11*T2^9 - 89*T1^12*T2^9 + 49*T1^13*T2^9 + 
      41*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 27*T1^2*T2^10 - 
      12*T1^3*T2^10 + 94*T1^4*T2^10 - 44*T1^5*T2^10 + 58*T1^6*T2^10 + 
      246*T1^7*T2^10 - 241*T1^8*T2^10 - 79*T1^9*T2^10 - T1^10*T2^10 - 
      90*T1^11*T2^10 - 176*T1^12*T2^10 + 82*T1^13*T2^10 - 74*T1^14*T2^10 + 
      12*T1^15*T2^10 + 27*T1^16*T2^10 + 30*T1^3*T2^11 - 52*T1^4*T2^11 - 
      17*T1^5*T2^11 + 46*T1^6*T2^11 - 111*T1^7*T2^11 - 32*T1^8*T2^11 + 
      309*T1^9*T2^11 - 90*T1^10*T2^11 + 124*T1^11*T2^11 + 123*T1^12*T2^11 + 
      10*T1^13*T2^11 - 11*T1^14*T2^11 + 44*T1^15*T2^11 - 45*T1^16*T2^11 - 
      17*T1^4*T2^12 + 68*T1^5*T2^12 - 62*T1^6*T2^12 + 28*T1^7*T2^12 + 
      40*T1^8*T2^12 - 89*T1^9*T2^12 - 176*T1^10*T2^12 + 123*T1^11*T2^12 - 
      192*T1^12*T2^12 - 32*T1^13*T2^12 + 70*T1^14*T2^12 - 84*T1^15*T2^12 + 
      51*T1^16*T2^12 - 36*T1^6*T2^13 + 68*T1^7*T2^13 - 69*T1^8*T2^13 + 
      49*T1^9*T2^13 + 82*T1^10*T2^13 + 10*T1^11*T2^13 - 32*T1^12*T2^13 + 
      183*T1^13*T2^13 - 157*T1^14*T2^13 + 108*T1^15*T2^13 - 45*T1^16*T2^13 + 
      9*T1^6*T2^14 - 4*T1^7*T2^14 - 19*T1^8*T2^14 + 41*T1^9*T2^14 - 
      74*T1^10*T2^14 - 11*T1^11*T2^14 + 70*T1^12*T2^14 - 157*T1^13*T2^14 + 
      125*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 24*T1^9*T2^15 + 12*T1^10*T2^15 + 44*T1^11*T2^15 - 
      84*T1^12*T2^15 + 108*T1^13*T2^15 - 76*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 27*T1^10*T2^16 - 
      45*T1^11*T2^16 + 51*T1^12*T2^16 - 45*T1^13*T2^16 + 27*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 370] -> {-((1 - 2*T + T^3 - 2*T^5 + T^6)/T^3), 
   -((-3 + 6*T1 - 3*T1^3 + 6*T1^5 - 3*T1^6 + 6*T2 - 10*T1*T2 - 3*T1^2*T2 + 
      4*T1^3*T2 + 2*T1^4*T2 - 7*T1^5*T2 - 4*T1^6*T2 + 4*T1^7*T2 - 3*T1*T2^2 + 
      9*T1^2*T2^2 - 9*T1^3*T2^2 + 3*T1^4*T2^2 - 9*T1^5*T2^2 + 9*T1^6*T2^2 - 
      3*T1^7*T2^2 - 3*T2^3 + 4*T1*T2^3 - 9*T1^2*T2^3 + 27*T1^3*T2^3 - 
      11*T1^4*T2^3 - 5*T1^5*T2^3 + 27*T1^6*T2^3 - 9*T1^7*T2^3 - 2*T1^8*T2^3 + 
      2*T1*T2^4 + 3*T1^2*T2^4 - 11*T1^3*T2^4 - 6*T1^4*T2^4 + 28*T1^5*T2^4 - 
      18*T1^6*T2^4 - 7*T1^7*T2^4 + 11*T1^8*T2^4 - 2*T1^9*T2^4 + 6*T2^5 - 
      7*T1*T2^5 - 9*T1^2*T2^5 - 5*T1^3*T2^5 + 28*T1^4*T2^5 - 48*T1^5*T2^5 - 
      18*T1^6*T2^5 + 28*T1^7*T2^5 - 15*T1^8*T2^5 - 9*T1^9*T2^5 + 
      13*T1^10*T2^5 - 4*T1^11*T2^5 - 3*T2^6 - 4*T1*T2^6 + 9*T1^2*T2^6 + 
      27*T1^3*T2^6 - 18*T1^4*T2^6 - 18*T1^5*T2^6 + 96*T1^6*T2^6 - 
      46*T1^7*T2^6 - 2*T1^8*T2^6 + 33*T1^9*T2^6 - 23*T1^10*T2^6 + 
      3*T1^12*T2^6 + 4*T1*T2^7 - 3*T1^2*T2^7 - 9*T1^3*T2^7 - 7*T1^4*T2^7 + 
      28*T1^5*T2^7 - 46*T1^6*T2^7 - 16*T1^7*T2^7 + 28*T1^8*T2^7 - 
      17*T1^9*T2^7 - 9*T1^10*T2^7 + 17*T1^11*T2^7 - 6*T1^12*T2^7 - 
      2*T1^3*T2^8 + 11*T1^4*T2^8 - 15*T1^5*T2^8 - 2*T1^6*T2^8 + 
      28*T1^7*T2^8 - 14*T1^8*T2^8 - 11*T1^9*T2^8 + 19*T1^10*T2^8 - 
      6*T1^11*T2^8 - 2*T1^4*T2^9 - 9*T1^5*T2^9 + 33*T1^6*T2^9 - 
      17*T1^7*T2^9 - 11*T1^8*T2^9 + 33*T1^9*T2^9 - 9*T1^10*T2^9 - 
      8*T1^11*T2^9 + 3*T1^12*T2^9 + 13*T1^5*T2^10 - 23*T1^6*T2^10 - 
      9*T1^7*T2^10 + 19*T1^8*T2^10 - 9*T1^9*T2^10 - 23*T1^10*T2^10 + 
      13*T1^11*T2^10 - 4*T1^5*T2^11 + 17*T1^7*T2^11 - 6*T1^8*T2^11 - 
      8*T1^9*T2^11 + 13*T1^10*T2^11 + 6*T1^11*T2^11 - 6*T1^12*T2^11 + 
      3*T1^6*T2^12 - 6*T1^7*T2^12 + 3*T1^9*T2^12 - 6*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 371] -> 
  {(1 - 2*T + 2*T^2 - T^3 + 2*T^4 - 2*T^5 + T^6)/T^3, 
   (-4 + 8*T1 - 8*T1^2 + 4*T1^3 - 8*T1^4 + 8*T1^5 - 4*T1^6 + 8*T2 - 8*T1*T2 + 
     T1^2*T2 + 6*T1^3*T2 + 12*T1^4*T2 - 7*T1^5*T2 - 2*T1^6*T2 + 6*T1^7*T2 - 
     8*T2^2 + T1*T2^2 + 5*T1^2*T2^2 - 9*T1^3*T2^2 - 13*T1^4*T2^2 - 
     5*T1^5*T2^2 + 9*T1^6*T2^2 - 7*T1^7*T2^2 - 4*T1^8*T2^2 + 4*T2^3 + 
     6*T1*T2^3 - 9*T1^2*T2^3 + 7*T1^3*T2^3 + 9*T1^4*T2^3 + 9*T1^5*T2^3 - 
     3*T1^6*T2^3 - 3*T1^7*T2^3 + 8*T1^8*T2^3 + T1^9*T2^3 - 8*T2^4 + 
     12*T1*T2^4 - 13*T1^2*T2^4 + 9*T1^3*T2^4 - 9*T1^4*T2^4 - 3*T1^5*T2^4 + 
     3*T1^6*T2^4 + 5*T1^7*T2^4 - 5*T1^8*T2^4 + 8*T2^5 - 7*T1*T2^5 - 
     5*T1^2*T2^5 + 9*T1^3*T2^5 - 3*T1^4*T2^5 + 4*T1^5*T2^5 - 8*T1^6*T2^5 - 
     7*T1^7*T2^5 + T1^8*T2^5 - 3*T1^9*T2^5 + T1^10*T2^5 - 2*T1^11*T2^5 - 
     4*T2^6 - 2*T1*T2^6 + 9*T1^2*T2^6 - 3*T1^3*T2^6 + 3*T1^4*T2^6 - 
     8*T1^5*T2^6 + 12*T1^6*T2^6 + 4*T1^7*T2^6 + 7*T1^8*T2^6 + 7*T1^9*T2^6 - 
     3*T1^10*T2^6 + 2*T1^11*T2^6 + 2*T1^12*T2^6 + 6*T1*T2^7 - 7*T1^2*T2^7 - 
     3*T1^3*T2^7 + 5*T1^4*T2^7 - 7*T1^5*T2^7 + 4*T1^6*T2^7 - 8*T1^7*T2^7 - 
     11*T1^8*T2^7 - 3*T1^9*T2^7 - T1^10*T2^7 + T1^11*T2^7 - 4*T1^12*T2^7 - 
     4*T1^2*T2^8 + 8*T1^3*T2^8 - 5*T1^4*T2^8 + T1^5*T2^8 + 7*T1^6*T2^8 - 
     11*T1^7*T2^8 + 19*T1^8*T2^8 - 3*T1^9*T2^8 + 3*T1^10*T2^8 - 
     4*T1^11*T2^8 + 4*T1^12*T2^8 + T1^3*T2^9 - 3*T1^5*T2^9 + 7*T1^6*T2^9 - 
     3*T1^7*T2^9 - 3*T1^8*T2^9 - 3*T1^9*T2^9 + 3*T1^10*T2^9 + 2*T1^11*T2^9 - 
     2*T1^12*T2^9 + T1^5*T2^10 - 3*T1^6*T2^10 - T1^7*T2^10 + 3*T1^8*T2^10 + 
     3*T1^9*T2^10 + T1^10*T2^10 - 7*T1^11*T2^10 + 4*T1^12*T2^10 - 
     2*T1^5*T2^11 + 2*T1^6*T2^11 + T1^7*T2^11 - 4*T1^8*T2^11 + 2*T1^9*T2^11 - 
     7*T1^10*T2^11 + 8*T1^11*T2^11 - 4*T1^12*T2^11 + 2*T1^6*T2^12 - 
     4*T1^7*T2^12 + 4*T1^8*T2^12 - 2*T1^9*T2^12 + 4*T1^10*T2^12 - 
     4*T1^11*T2^12 + 2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 372] -> 
  {(1 - 4*T + 10*T^2 - 13*T^3 + 10*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 40*T1^2 + 52*T1^3 - 40*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 112*T1^2*T2 - 88*T1^3*T2 + 4*T1^4*T2 + 56*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 40*T2^2 + 112*T1*T2^2 - 254*T1^2*T2^2 + 
     184*T1^3*T2^2 - 64*T1^4*T2^2 + 4*T1^5*T2^2 - 74*T1^6*T2^2 + 
     32*T1^7*T2^2 - 20*T1^8*T2^2 + 52*T2^3 - 88*T1*T2^3 + 184*T1^2*T2^3 + 
     129*T1^3*T2^3 - 234*T1^4*T2^3 + 140*T1^5*T2^3 + 115*T1^6*T2^3 - 
     6*T1^7*T2^3 + 28*T1^8*T2^3 + 13*T1^9*T2^3 - 40*T2^4 + 4*T1*T2^4 - 
     64*T1^2*T2^4 - 234*T1^3*T2^4 - 197*T1^4*T2^4 + 617*T1^5*T2^4 - 
     773*T1^6*T2^4 + 182*T1^7*T2^4 - 80*T1^8*T2^4 - 52*T1^9*T2^4 + 16*T2^5 + 
     56*T1*T2^5 + 4*T1^2*T2^5 + 140*T1^3*T2^5 + 617*T1^4*T2^5 - 
     842*T1^5*T2^5 + 568*T1^6*T2^5 + 277*T1^7*T2^5 - 150*T1^8*T2^5 + 
     154*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 - 
     74*T1^2*T2^6 + 115*T1^3*T2^6 - 773*T1^4*T2^6 + 568*T1^5*T2^6 + 
     12*T1^6*T2^6 - 680*T1^7*T2^6 + 255*T1^8*T2^6 - 123*T1^9*T2^6 - 
     70*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     32*T1^2*T2^7 - 6*T1^3*T2^7 + 182*T1^4*T2^7 + 277*T1^5*T2^7 - 
     680*T1^6*T2^7 + 730*T1^7*T2^7 - 63*T1^8*T2^7 - 108*T1^9*T2^7 + 
     144*T1^10*T2^7 - 8*T1^11*T2^7 - 8*T1^12*T2^7 - 20*T1^2*T2^8 + 
     28*T1^3*T2^8 - 80*T1^4*T2^8 - 150*T1^5*T2^8 + 255*T1^6*T2^8 - 
     63*T1^7*T2^8 - 321*T1^8*T2^8 + 266*T1^9*T2^8 - 96*T1^10*T2^8 - 
     28*T1^11*T2^8 + 20*T1^12*T2^8 + 13*T1^3*T2^9 - 52*T1^4*T2^9 + 
     154*T1^5*T2^9 - 123*T1^6*T2^9 - 108*T1^7*T2^9 + 266*T1^8*T2^9 - 
     137*T1^9*T2^9 - 36*T1^10*T2^9 + 64*T1^11*T2^9 - 26*T1^12*T2^9 + 
     16*T1^5*T2^10 - 70*T1^6*T2^10 + 144*T1^7*T2^10 - 96*T1^8*T2^10 - 
     36*T1^9*T2^10 + 110*T1^10*T2^10 - 64*T1^11*T2^10 + 20*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 - 8*T1^7*T2^11 - 28*T1^8*T2^11 + 
     64*T1^9*T2^11 - 64*T1^10*T2^11 + 28*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 20*T1^8*T2^12 - 26*T1^9*T2^12 + 
     20*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 373] -> 
  {-((1 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + T^6)/T^3), 
   -((-5 + 40*T1 - 90*T1^2 + 115*T1^3 - 90*T1^4 + 40*T1^5 - 5*T1^6 + 40*T2 - 
      294*T1*T2 + 464*T1^2*T2 - 342*T1^3*T2 - 14*T1^4*T2 + 256*T1^5*T2 - 
      222*T1^6*T2 + 32*T1^7*T2 - 90*T2^2 + 464*T1*T2^2 + 476*T1^2*T2^2 - 
      2272*T1^3*T2^2 + 3478*T1^4*T2^2 - 2812*T1^5*T2^2 + 1088*T1^6*T2^2 + 
      176*T1^7*T2^2 - 54*T1^8*T2^2 + 115*T2^3 - 342*T1*T2^3 - 
      2272*T1^2*T2^3 + 4433*T1^3*T2^3 - 3807*T1^4*T2^3 + 303*T1^5*T2^3 + 
      2345*T1^6*T2^3 - 2218*T1^7*T2^3 + 66*T1^8*T2^3 + 46*T1^9*T2^3 - 
      90*T2^4 - 14*T1*T2^4 + 3478*T1^2*T2^4 - 3807*T1^3*T2^4 + 
      745*T1^4*T2^4 + 3341*T1^5*T2^4 - 3551*T1^6*T2^4 + 793*T1^7*T2^4 + 
      1830*T1^8*T2^4 - 222*T1^9*T2^4 - 18*T1^10*T2^4 + 40*T2^5 + 
      256*T1*T2^5 - 2812*T1^2*T2^5 + 303*T1^3*T2^5 + 3341*T1^4*T2^5 - 
      4760*T1^5*T2^5 + 1342*T1^6*T2^5 + 2225*T1^7*T2^5 - 2827*T1^8*T2^5 - 
      490*T1^9*T2^5 + 144*T1^10*T2^5 - 5*T2^6 - 222*T1*T2^6 + 
      1088*T1^2*T2^6 + 2345*T1^3*T2^6 - 3551*T1^4*T2^6 + 1342*T1^5*T2^6 + 
      3036*T1^6*T2^6 - 4074*T1^7*T2^6 + 1685*T1^8*T2^6 + 1631*T1^9*T2^6 - 
      204*T1^10*T2^6 - 14*T1^11*T2^6 + T1^12*T2^6 + 32*T1*T2^7 + 
      176*T1^2*T2^7 - 2218*T1^3*T2^7 + 793*T1^4*T2^7 + 2225*T1^5*T2^7 - 
      4074*T1^6*T2^7 + 2028*T1^7*T2^7 + 1109*T1^8*T2^7 - 2337*T1^9*T2^7 + 
      104*T1^10*T2^7 + 64*T1^11*T2^7 - 8*T1^12*T2^7 - 54*T1^2*T2^8 + 
      66*T1^3*T2^8 + 1830*T1^4*T2^8 - 2827*T1^5*T2^8 + 1685*T1^6*T2^8 + 
      1109*T1^7*T2^8 - 2611*T1^8*T2^8 + 1773*T1^9*T2^8 + 182*T1^10*T2^8 - 
      142*T1^11*T2^8 + 18*T1^12*T2^8 + 46*T1^3*T2^9 - 222*T1^4*T2^9 - 
      490*T1^5*T2^9 + 1631*T1^6*T2^9 - 2337*T1^7*T2^9 + 1773*T1^8*T2^9 - 
      457*T1^9*T2^9 - 436*T1^10*T2^9 + 186*T1^11*T2^9 - 23*T1^12*T2^9 - 
      18*T1^4*T2^10 + 144*T1^5*T2^10 - 204*T1^6*T2^10 + 104*T1^7*T2^10 + 
      182*T1^8*T2^10 - 436*T1^9*T2^10 + 408*T1^10*T2^10 - 144*T1^11*T2^10 + 
      18*T1^12*T2^10 - 14*T1^6*T2^11 + 64*T1^7*T2^11 - 142*T1^8*T2^11 + 
      186*T1^9*T2^11 - 144*T1^10*T2^11 + 58*T1^11*T2^11 - 8*T1^12*T2^11 + 
      T1^6*T2^12 - 8*T1^7*T2^12 + 18*T1^8*T2^12 - 23*T1^9*T2^12 + 
      18*T1^10*T2^12 - 8*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 374] -> 
  {(2 - 3*T + 6*T^3 - 9*T^4 + 6*T^5 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 194*T1^3 - 291*T1^4 + 194*T1^5 - 97*T1^7 + 65*T1^8 - 
      97*T2 + 60*T1*T2 + 127*T1^2*T2 - 290*T1^3*T2 + 181*T1^4*T2 + 
      91*T1^5*T2 - 254*T1^6*T2 + 145*T1^7*T2 + 30*T1^8*T2 - 85*T1^9*T2 + 
      127*T1*T2^2 - 186*T1^2*T2^2 - 2*T1^3*T2^2 + 370*T1^4*T2^2 - 
      552*T1^5*T2^2 + 370*T1^6*T2^2 - 2*T1^7*T2^2 - 186*T1^8*T2^2 + 
      127*T1^9*T2^2 + 194*T2^3 - 290*T1*T2^3 - 2*T1^2*T2^3 + 638*T1^3*T2^3 - 
      933*T1^4*T2^3 + 515*T1^5*T2^3 + 299*T1^6*T2^3 - 717*T1^7*T2^3 + 
      494*T1^8*T2^3 - 2*T1^9*T2^3 - 182*T1^10*T2^3 + 122*T1^11*T2^3 - 
      291*T2^4 + 181*T1*T2^4 + 370*T1^2*T2^4 - 933*T1^3*T2^4 + 
      584*T1^4*T2^4 + 392*T1^5*T2^4 - 1086*T1^6*T2^4 + 716*T1^7*T2^4 + 
      116*T1^8*T2^4 - 573*T1^9*T2^4 + 262*T1^10*T2^4 + 37*T1^11*T2^4 - 
      147*T1^12*T2^4 + 194*T2^5 + 91*T1*T2^5 - 552*T1^2*T2^5 + 
      515*T1^3*T2^5 + 392*T1^4*T2^5 - 1153*T1^5*T2^5 + 897*T1^6*T2^5 + 
      231*T1^7*T2^5 - 907*T1^8*T2^5 + 608*T1^9*T2^5 + 155*T1^10*T2^5 - 
      309*T1^11*T2^5 + 109*T1^12*T2^5 + 74*T1^13*T2^5 - 254*T1*T2^6 + 
      370*T1^2*T2^6 + 299*T1^3*T2^6 - 1086*T1^4*T2^6 + 897*T1^5*T2^6 + 
      313*T1^6*T2^6 - 1267*T1^7*T2^6 + 961*T1^8*T2^6 + 105*T1^9*T2^6 - 
      654*T1^10*T2^6 + 299*T1^11*T2^6 + 154*T1^12*T2^6 - 110*T1^13*T2^6 - 
      97*T2^7 + 145*T1*T2^7 - 2*T1^2*T2^7 - 717*T1^3*T2^7 + 716*T1^4*T2^7 + 
      231*T1^5*T2^7 - 1267*T1^6*T2^7 + 1074*T1^7*T2^7 + 54*T1^8*T2^7 - 
      943*T1^9*T2^7 + 645*T1^10*T2^7 + 68*T1^11*T2^7 - 357*T1^12*T2^7 - 
      2*T1^13*T2^7 + 19*T1^14*T2^7 - 13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 
      186*T1^2*T2^8 + 494*T1^3*T2^8 + 116*T1^4*T2^8 - 907*T1^5*T2^8 + 
      961*T1^6*T2^8 + 54*T1^7*T2^8 - 948*T1^8*T2^8 + 906*T1^9*T2^8 - 
      11*T1^10*T2^8 - 469*T1^11*T2^8 + 296*T1^12*T2^8 + 158*T1^13*T2^8 - 
      24*T1^14*T2^8 + 18*T1^15*T2^8 + T1^16*T2^8 - 85*T1*T2^9 + 
      127*T1^2*T2^9 - 2*T1^3*T2^9 - 573*T1^4*T2^9 + 608*T1^5*T2^9 + 
      105*T1^6*T2^9 - 943*T1^7*T2^9 + 906*T1^8*T2^9 - 114*T1^9*T2^9 - 
      619*T1^10*T2^9 + 519*T1^11*T2^9 - 40*T1^12*T2^9 - 213*T1^13*T2^9 - 
      2*T1^14*T2^9 + T1^15*T2^9 - T1^16*T2^9 - 182*T1^3*T2^10 + 
      262*T1^4*T2^10 + 155*T1^5*T2^10 - 654*T1^6*T2^10 + 645*T1^7*T2^10 - 
      11*T1^8*T2^10 - 619*T1^9*T2^10 + 637*T1^10*T2^10 - 147*T1^11*T2^10 - 
      222*T1^12*T2^10 + 155*T1^13*T2^10 + 46*T1^14*T2^10 - 38*T1^15*T2^10 + 
      122*T1^3*T2^11 + 37*T1^4*T2^11 - 309*T1^5*T2^11 + 299*T1^6*T2^11 + 
      68*T1^7*T2^11 - 469*T1^8*T2^11 + 519*T1^9*T2^11 - 147*T1^10*T2^11 - 
      223*T1^11*T2^11 + 284*T1^12*T2^11 - 61*T1^13*T2^11 - 66*T1^14*T2^11 + 
      55*T1^15*T2^11 + 2*T1^16*T2^11 - 147*T1^4*T2^12 + 109*T1^5*T2^12 + 
      154*T1^6*T2^12 - 357*T1^7*T2^12 + 296*T1^8*T2^12 - 40*T1^9*T2^12 - 
      222*T1^10*T2^12 + 284*T1^11*T2^12 - 172*T1^12*T2^12 + 3*T1^13*T2^12 + 
      46*T1^14*T2^12 - 35*T1^15*T2^12 - 3*T1^16*T2^12 + 74*T1^5*T2^13 - 
      110*T1^6*T2^13 - 2*T1^7*T2^13 + 158*T1^8*T2^13 - 213*T1^9*T2^13 + 
      155*T1^10*T2^13 - 61*T1^11*T2^13 + 3*T1^12*T2^13 + 14*T1^13*T2^13 - 
      2*T1^14*T2^13 - 2*T1^15*T2^13 + 2*T1^16*T2^13 + 19*T1^7*T2^14 - 
      24*T1^8*T2^14 - 2*T1^9*T2^14 + 46*T1^10*T2^14 - 66*T1^11*T2^14 + 
      46*T1^12*T2^14 - 2*T1^13*T2^14 - 24*T1^14*T2^14 + 19*T1^15*T2^14 - 
      13*T1^7*T2^15 + 18*T1^8*T2^15 + T1^9*T2^15 - 38*T1^10*T2^15 + 
      55*T1^11*T2^15 - 35*T1^12*T2^15 - 2*T1^13*T2^15 + 19*T1^14*T2^15 - 
      12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + 
      2*T1^11*T2^16 - 3*T1^12*T2^16 + 2*T1^13*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 375] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   -((-5 + 30*T1 - 65*T1^2 + 85*T1^3 - 65*T1^4 + 30*T1^5 - 5*T1^6 + 30*T2 - 
      158*T1*T2 + 248*T1^2*T2 - 200*T1^3*T2 - 20*T1^4*T2 + 134*T1^5*T2 - 
      116*T1^6*T2 + 24*T1^7*T2 - 65*T2^2 + 248*T1*T2^2 - 8*T1^2*T2^2 - 
      559*T1^3*T2^2 + 1138*T1^4*T2^2 - 845*T1^5*T2^2 + 304*T1^6*T2^2 + 
      92*T1^7*T2^2 - 39*T1^8*T2^2 + 85*T2^3 - 200*T1*T2^3 - 559*T1^2*T2^3 + 
      1285*T1^3*T2^3 - 1393*T1^4*T2^3 - 22*T1^5*T2^3 + 721*T1^6*T2^3 - 
      676*T1^7*T2^3 + 28*T1^8*T2^3 + 34*T1^9*T2^3 - 65*T2^4 - 20*T1*T2^4 + 
      1138*T1^2*T2^4 - 1393*T1^3*T2^4 + 630*T1^4*T2^4 + 1294*T1^5*T2^4 - 
      990*T1^6*T2^4 + 171*T1^7*T2^4 + 590*T1^8*T2^4 - 128*T1^9*T2^4 - 
      13*T1^10*T2^4 + 30*T2^5 + 134*T1*T2^5 - 845*T1^2*T2^5 - 22*T1^3*T2^5 + 
      1294*T1^4*T2^5 - 2211*T1^5*T2^5 + 183*T1^6*T2^5 + 917*T1^7*T2^5 - 
      1007*T1^8*T2^5 - 52*T1^9*T2^5 + 80*T1^10*T2^5 - 5*T2^6 - 116*T1*T2^6 + 
      304*T1^2*T2^6 + 721*T1^3*T2^6 - 990*T1^4*T2^6 + 183*T1^5*T2^6 + 
      2088*T1^6*T2^6 - 1843*T1^7*T2^6 + 696*T1^8*T2^6 + 463*T1^9*T2^6 - 
      144*T1^10*T2^6 - 8*T1^11*T2^6 + T1^12*T2^6 + 24*T1*T2^7 + 
      92*T1^2*T2^7 - 676*T1^3*T2^7 + 171*T1^4*T2^7 + 917*T1^5*T2^7 - 
      1843*T1^6*T2^7 + 551*T1^7*T2^7 + 540*T1^8*T2^7 - 814*T1^9*T2^7 + 
      117*T1^10*T2^7 + 38*T1^11*T2^7 - 6*T1^12*T2^7 - 39*T1^2*T2^8 + 
      28*T1^3*T2^8 + 590*T1^4*T2^8 - 1007*T1^5*T2^8 + 696*T1^6*T2^8 + 
      540*T1^7*T2^8 - 924*T1^8*T2^8 + 557*T1^9*T2^8 + 42*T1^10*T2^8 - 
      80*T1^11*T2^8 + 13*T1^12*T2^8 + 34*T1^3*T2^9 - 128*T1^4*T2^9 - 
      52*T1^5*T2^9 + 463*T1^6*T2^9 - 814*T1^7*T2^9 + 557*T1^8*T2^9 - 
      101*T1^9*T2^9 - 169*T1^10*T2^9 + 100*T1^11*T2^9 - 17*T1^12*T2^9 - 
      13*T1^4*T2^10 + 80*T1^5*T2^10 - 144*T1^6*T2^10 + 117*T1^7*T2^10 + 
      42*T1^8*T2^10 - 169*T1^9*T2^10 + 168*T1^10*T2^10 - 76*T1^11*T2^10 + 
      13*T1^12*T2^10 - 8*T1^6*T2^11 + 38*T1^7*T2^11 - 80*T1^8*T2^11 + 
      100*T1^9*T2^11 - 76*T1^10*T2^11 + 34*T1^11*T2^11 - 6*T1^12*T2^11 + 
      T1^6*T2^12 - 6*T1^7*T2^12 + 13*T1^8*T2^12 - 17*T1^9*T2^12 + 
      13*T1^10*T2^12 - 6*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 376] -> 
  {-((1 - 4*T + 10*T^2 - 19*T^3 + 23*T^4 - 19*T^5 + 10*T^6 - 4*T^7 + T^8)/
     T^4), -((-5 + 20*T1 - 50*T1^2 + 95*T1^3 - 115*T1^4 + 95*T1^5 - 50*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 136*T1^2*T2 - 220*T1^3*T2 + 
      156*T1^4*T2 - 12*T1^5*T2 - 104*T1^6*T2 + 80*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 50*T2^2 + 136*T1*T2^2 - 274*T1^2*T2^2 + 428*T1^3*T2^2 - 
      222*T1^4*T2^2 + 28*T1^5*T2^2 + 38*T1^6*T2^2 + 128*T1^7*T2^2 - 
      94*T1^8*T2^2 + 56*T1^9*T2^2 - 30*T1^10*T2^2 + 95*T2^3 - 220*T1*T2^3 + 
      428*T1^2*T2^3 - 633*T1^3*T2^3 + 147*T1^4*T2^3 + 11*T1^5*T2^3 - 
      16*T1^6*T2^3 - 232*T1^7*T2^3 - 53*T1^8*T2^3 + 58*T1^9*T2^3 - 
      32*T1^10*T2^3 + 38*T1^11*T2^3 - 115*T2^4 + 156*T1*T2^4 - 
      222*T1^2*T2^4 + 147*T1^3*T2^4 + 798*T1^4*T2^4 - 538*T1^5*T2^4 + 
      260*T1^6*T2^4 + 58*T1^7*T2^4 + 542*T1^8*T2^4 - 233*T1^9*T2^4 + 
      90*T1^10*T2^4 - 60*T1^11*T2^4 - 23*T1^12*T2^4 + 95*T2^5 - 12*T1*T2^5 + 
      28*T1^2*T2^5 + 11*T1^3*T2^5 - 538*T1^4*T2^5 - 861*T1^5*T2^5 + 
      941*T1^6*T2^5 - 365*T1^7*T2^5 - 903*T1^8*T2^5 + 137*T1^9*T2^5 + 
      6*T1^10*T2^5 - 8*T1^11*T2^5 + 92*T1^12*T2^5 - 50*T2^6 - 104*T1*T2^6 + 
      38*T1^2*T2^6 - 16*T1^3*T2^6 + 260*T1^4*T2^6 + 941*T1^5*T2^6 + 
      717*T1^6*T2^6 - 2263*T1^7*T2^6 + 2677*T1^8*T2^6 - 411*T1^9*T2^6 + 
      4*T1^10*T2^6 + 44*T1^11*T2^6 - 118*T1^12*T2^6 - 40*T1^13*T2^6 + 
      10*T1^14*T2^6 + 20*T2^7 + 80*T1*T2^7 + 128*T1^2*T2^7 - 232*T1^3*T2^7 + 
      58*T1^4*T2^7 - 365*T1^5*T2^7 - 2263*T1^6*T2^7 + 3017*T1^7*T2^7 - 
      1467*T1^8*T2^7 - 1260*T1^9*T2^7 + 849*T1^10*T2^7 - 301*T1^11*T2^7 + 
      143*T1^12*T2^7 + 78*T1^13*T2^7 - 8*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 
      44*T1*T2^8 - 94*T1^2*T2^8 - 53*T1^3*T2^8 + 542*T1^4*T2^8 - 
      903*T1^5*T2^8 + 2677*T1^6*T2^8 - 1467*T1^7*T2^8 - 1356*T1^8*T2^8 + 
      2751*T1^9*T2^8 - 1097*T1^10*T2^8 + 51*T1^11*T2^8 + 14*T1^12*T2^8 - 
      123*T1^13*T2^8 + 2*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 
      16*T1*T2^9 + 56*T1^2*T2^9 + 58*T1^3*T2^9 - 233*T1^4*T2^9 + 
      137*T1^5*T2^9 - 411*T1^6*T2^9 - 1260*T1^7*T2^9 + 2751*T1^8*T2^9 - 
      1733*T1^9*T2^9 - 257*T1^10*T2^9 + 803*T1^11*T2^9 - 222*T1^12*T2^9 + 
      142*T1^13*T2^9 + 8*T1^14*T2^9 - 32*T1^15*T2^9 - 12*T1^16*T2^9 - 
      30*T1^2*T2^10 - 32*T1^3*T2^10 + 90*T1^4*T2^10 + 6*T1^5*T2^10 + 
      4*T1^6*T2^10 + 849*T1^7*T2^10 - 1097*T1^8*T2^10 - 257*T1^9*T2^10 + 
      863*T1^10*T2^10 - 503*T1^11*T2^10 - 252*T1^12*T2^10 + 66*T1^13*T2^10 - 
      66*T1^14*T2^10 + 32*T1^15*T2^10 + 30*T1^16*T2^10 + 38*T1^3*T2^11 - 
      60*T1^4*T2^11 - 8*T1^5*T2^11 + 44*T1^6*T2^11 - 301*T1^7*T2^11 + 
      51*T1^8*T2^11 + 803*T1^9*T2^11 - 503*T1^10*T2^11 + 9*T1^11*T2^11 + 
      374*T1^12*T2^11 + 39*T1^13*T2^11 - 44*T1^14*T2^11 + 44*T1^15*T2^11 - 
      57*T1^16*T2^11 - 23*T1^4*T2^12 + 92*T1^5*T2^12 - 118*T1^6*T2^12 + 
      143*T1^7*T2^12 + 14*T1^8*T2^12 - 222*T1^9*T2^12 - 252*T1^10*T2^12 + 
      374*T1^11*T2^12 - 242*T1^12*T2^12 - 237*T1^13*T2^12 + 194*T1^14*T2^12 - 
      124*T1^15*T2^12 + 69*T1^16*T2^12 - 40*T1^6*T2^13 + 78*T1^7*T2^13 - 
      123*T1^8*T2^13 + 142*T1^9*T2^13 + 66*T1^10*T2^13 + 39*T1^11*T2^13 - 
      237*T1^12*T2^13 + 457*T1^13*T2^13 - 292*T1^14*T2^13 + 148*T1^15*T2^13 - 
      57*T1^16*T2^13 + 10*T1^6*T2^14 - 8*T1^7*T2^14 + 2*T1^8*T2^14 + 
      8*T1^9*T2^14 - 66*T1^10*T2^14 - 44*T1^11*T2^14 + 194*T1^12*T2^14 - 
      292*T1^13*T2^14 + 182*T1^14*T2^14 - 88*T1^15*T2^14 + 30*T1^16*T2^14 - 
      8*T1^7*T2^15 + 20*T1^8*T2^15 - 32*T1^9*T2^15 + 32*T1^10*T2^15 + 
      44*T1^11*T2^15 - 124*T1^12*T2^15 + 148*T1^13*T2^15 - 88*T1^14*T2^15 + 
      40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 
      30*T1^10*T2^16 - 57*T1^11*T2^16 + 69*T1^12*T2^16 - 57*T1^13*T2^16 + 
      30*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 377] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-2 + 8*T1 - 18*T1^2 + 22*T1^3 - 18*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 57*T1^2*T2 - 52*T1^3*T2 + 28*T1^4*T2 + 5*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 18*T2^2 + 57*T1*T2^2 - 111*T1^2*T2^2 + 
     74*T1^3*T2^2 - 19*T1^4*T2^2 - 52*T1^5*T2^2 + 33*T1^6*T2^2 - 
     15*T1^7*T2^2 + 22*T2^3 - 52*T1*T2^3 + 74*T1^2*T2^3 + 61*T1^3*T2^3 - 
     130*T1^4*T2^3 + 161*T1^5*T2^3 - 11*T1^6*T2^3 - 43*T1^7*T2^3 + 
     44*T1^8*T2^3 - 11*T1^9*T2^3 - 18*T2^4 + 28*T1*T2^4 - 19*T1^2*T2^4 - 
     130*T1^3*T2^4 + 69*T1^4*T2^4 + 39*T1^5*T2^4 - 259*T1^6*T2^4 + 
     178*T1^7*T2^4 - 47*T1^8*T2^4 - 28*T1^9*T2^4 + 18*T1^10*T2^4 + 8*T2^5 + 
     5*T1*T2^5 - 52*T1^2*T2^5 + 161*T1^3*T2^5 + 39*T1^4*T2^5 - 
     265*T1^5*T2^5 + 411*T1^6*T2^5 - 132*T1^7*T2^5 - 96*T1^8*T2^5 + 
     101*T1^9*T2^5 - 23*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     33*T1^2*T2^6 - 11*T1^3*T2^6 - 259*T1^4*T2^6 + 411*T1^5*T2^6 - 
     216*T1^6*T2^6 - 235*T1^7*T2^6 + 387*T1^8*T2^6 - 149*T1^9*T2^6 - 
     7*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 15*T1^2*T2^7 - 
     43*T1^3*T2^7 + 178*T1^4*T2^7 - 132*T1^5*T2^7 - 235*T1^6*T2^7 + 
     441*T1^7*T2^7 - 303*T1^8*T2^7 - 79*T1^9*T2^7 + 110*T1^10*T2^7 - 
     43*T1^11*T2^7 - 16*T1^12*T2^7 + 44*T1^3*T2^8 - 47*T1^4*T2^8 - 
     96*T1^5*T2^8 + 387*T1^6*T2^8 - 303*T1^7*T2^8 + 59*T1^8*T2^8 + 
     212*T1^9*T2^8 - 75*T1^10*T2^8 - 12*T1^11*T2^8 + 36*T1^12*T2^8 - 
     11*T1^3*T2^9 - 28*T1^4*T2^9 + 101*T1^5*T2^9 - 149*T1^6*T2^9 - 
     79*T1^7*T2^9 + 212*T1^8*T2^9 - 221*T1^9*T2^9 - 16*T1^10*T2^9 + 
     68*T1^11*T2^9 - 44*T1^12*T2^9 + 18*T1^4*T2^10 - 23*T1^5*T2^10 - 
     7*T1^6*T2^10 + 110*T1^7*T2^10 - 75*T1^8*T2^10 - 16*T1^9*T2^10 + 
     137*T1^10*T2^10 - 95*T1^11*T2^10 + 36*T1^12*T2^10 - 12*T1^5*T2^11 + 
     32*T1^6*T2^11 - 43*T1^7*T2^11 - 12*T1^8*T2^11 + 68*T1^9*T2^11 - 
     95*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 
     16*T1^7*T2^12 + 36*T1^8*T2^12 - 44*T1^9*T2^12 + 36*T1^10*T2^12 - 
     16*T1^11*T2^12 + 4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 378] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-51 + 207*T1 - 420*T1^2 + 511*T1^3 - 420*T1^4 + 207*T1^5 - 51*T1^6 + 
     207*T2 - 738*T1*T2 + 1289*T1^2*T2 - 1228*T1^3*T2 + 680*T1^4*T2 - 
     7*T1^5*T2 - 198*T1^6*T2 + 99*T1^7*T2 - 420*T2^2 + 1289*T1*T2^2 - 
     1758*T1^2*T2^2 + 760*T1^3*T2^2 + 694*T1^4*T2^2 - 1688*T1^5*T2^2 + 
     1266*T1^6*T2^2 - 439*T1^7*T2^2 + 12*T1^8*T2^2 + 511*T2^3 - 
     1228*T1*T2^3 + 760*T1^2*T2^3 + 1573*T1^3*T2^3 - 3111*T1^4*T2^3 + 
     2757*T1^5*T2^3 - 443*T1^6*T2^3 - 1184*T1^7*T2^3 + 1040*T1^8*T2^3 - 
     272*T1^9*T2^3 - 420*T2^4 + 680*T1*T2^4 + 694*T1^2*T2^4 - 
     3111*T1^3*T2^4 + 2896*T1^4*T2^4 - 144*T1^5*T2^4 - 2888*T1^6*T2^4 + 
     3153*T1^7*T2^4 - 746*T1^8*T2^4 - 688*T1^9*T2^4 + 444*T1^10*T2^4 + 
     207*T2^5 - 7*T1*T2^5 - 1688*T1^2*T2^5 + 2757*T1^3*T2^5 - 144*T1^4*T2^5 - 
     3834*T1^5*T2^5 + 4650*T1^6*T2^5 - 1872*T1^7*T2^5 - 2319*T1^8*T2^5 + 
     2272*T1^9*T2^5 - 439*T1^10*T2^5 - 333*T1^11*T2^5 - 51*T2^6 - 
     198*T1*T2^6 + 1266*T1^2*T2^6 - 443*T1^3*T2^6 - 2888*T1^4*T2^6 + 
     4650*T1^5*T2^6 - 876*T1^6*T2^6 - 3486*T1^7*T2^6 + 5896*T1^8*T2^6 - 
     2009*T1^9*T2^6 - 894*T1^10*T2^6 + 882*T1^11*T2^6 + 111*T1^12*T2^6 + 
     99*T1*T2^7 - 439*T1^2*T2^7 - 1184*T1^3*T2^7 + 3153*T1^4*T2^7 - 
     1872*T1^5*T2^7 - 3486*T1^6*T2^7 + 4998*T1^7*T2^7 - 3600*T1^8*T2^7 - 
     1923*T1^9*T2^7 + 2776*T1^10*T2^7 - 871*T1^11*T2^7 - 441*T1^12*T2^7 + 
     12*T1^2*T2^8 + 1040*T1^3*T2^8 - 746*T1^4*T2^8 - 2319*T1^5*T2^8 + 
     5896*T1^6*T2^8 - 3600*T1^7*T2^8 + 112*T1^8*T2^8 + 3945*T1^9*T2^8 - 
     2186*T1^10*T2^8 - 328*T1^11*T2^8 + 876*T1^12*T2^8 - 272*T1^3*T2^9 - 
     688*T1^4*T2^9 + 2272*T1^5*T2^9 - 2009*T1^6*T2^9 - 1923*T1^7*T2^9 + 
     3945*T1^8*T2^9 - 4025*T1^9*T2^9 + 328*T1^10*T2^9 + 1580*T1^11*T2^9 - 
     1055*T1^12*T2^9 + 444*T1^4*T2^10 - 439*T1^5*T2^10 - 894*T1^6*T2^10 + 
     2776*T1^7*T2^10 - 2186*T1^8*T2^10 + 328*T1^9*T2^10 + 2130*T1^10*T2^10 - 
     2167*T1^11*T2^10 + 876*T1^12*T2^10 - 333*T1^5*T2^11 + 882*T1^6*T2^11 - 
     871*T1^7*T2^11 - 328*T1^8*T2^11 + 1580*T1^9*T2^11 - 2167*T1^10*T2^11 + 
     1422*T1^11*T2^11 - 441*T1^12*T2^11 + 111*T1^6*T2^12 - 441*T1^7*T2^12 + 
     876*T1^8*T2^12 - 1055*T1^9*T2^12 + 876*T1^10*T2^12 - 441*T1^11*T2^12 + 
     111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 379] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-15 + 38*T1 - 53*T1^2 + 38*T1^3 - 15*T1^4 + 38*T2 - 86*T1*T2 + 
      108*T1^2*T2 - 60*T1^3*T2 + 12*T1^4*T2 + 10*T1^5*T2 - 53*T2^2 + 
      108*T1*T2^2 - 43*T1^2*T2^2 - 113*T1^3*T2^2 + 167*T1^4*T2^2 - 
      102*T1^5*T2^2 + 31*T1^6*T2^2 + 38*T2^3 - 60*T1*T2^3 - 113*T1^2*T2^3 + 
      218*T1^3*T2^3 - 132*T1^4*T2^3 - 43*T1^5*T2^3 + 58*T1^6*T2^3 - 
      54*T1^7*T2^3 - 15*T2^4 + 12*T1*T2^4 + 167*T1^2*T2^4 - 132*T1^3*T2^4 + 
      148*T1^5*T2^4 - 65*T1^6*T2^4 + 52*T1^7*T2^4 + 33*T1^8*T2^4 + 
      10*T1*T2^5 - 102*T1^2*T2^5 - 43*T1^3*T2^5 + 148*T1^4*T2^5 - 
      202*T1^5*T2^5 + 27*T1^6*T2^5 + 16*T1^7*T2^5 - 82*T1^8*T2^5 + 
      31*T1^2*T2^6 + 58*T1^3*T2^6 - 65*T1^4*T2^6 + 27*T1^5*T2^6 + 
      145*T1^6*T2^6 - 152*T1^7*T2^6 + 115*T1^8*T2^6 - 54*T1^3*T2^7 + 
      52*T1^4*T2^7 + 16*T1^5*T2^7 - 152*T1^6*T2^7 + 150*T1^7*T2^7 - 
      82*T1^8*T2^7 + 33*T1^4*T2^8 - 82*T1^5*T2^8 + 115*T1^6*T2^8 - 
      82*T1^7*T2^8 + 33*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 380] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-23 + 82*T1 - 107*T1^2 + 82*T1^3 - 23*T1^4 + 82*T2 - 242*T1*T2 + 
       208*T1^2*T2 - 80*T1^3*T2 - 80*T1^4*T2 + 46*T1^5*T2 - 107*T2^2 + 
       208*T1*T2^2 + 95*T1^2*T2^2 - 345*T1^3*T2^2 + 473*T1^4*T2^2 - 
       170*T1^5*T2^2 + T1^6*T2^2 + 82*T2^3 - 80*T1*T2^3 - 345*T1^2*T2^3 + 
       574*T1^3*T2^3 - 560*T1^4*T2^3 + 33*T1^5*T2^3 + 166*T1^6*T2^3 - 
       50*T1^7*T2^3 - 23*T2^4 - 80*T1*T2^4 + 473*T1^2*T2^4 - 560*T1^3*T2^4 + 
       192*T1^4*T2^4 + 448*T1^5*T2^4 - 487*T1^6*T2^4 + 88*T1^7*T2^4 + 
       25*T1^8*T2^4 + 46*T1*T2^5 - 170*T1^2*T2^5 + 33*T1^3*T2^5 + 
       448*T1^4*T2^5 - 686*T1^5*T2^5 + 411*T1^6*T2^5 + 76*T1^7*T2^5 - 
       86*T1^8*T2^5 + T1^2*T2^6 + 166*T1^3*T2^6 - 487*T1^4*T2^6 + 
       411*T1^5*T2^6 - 109*T1^6*T2^6 - 212*T1^7*T2^6 + 109*T1^8*T2^6 - 
       50*T1^3*T2^7 + 88*T1^4*T2^7 + 76*T1^5*T2^7 - 212*T1^6*T2^7 + 
       250*T1^7*T2^7 - 86*T1^8*T2^7 + 25*T1^4*T2^8 - 86*T1^5*T2^8 + 
       109*T1^6*T2^8 - 86*T1^7*T2^8 + 25*T1^8*T2^8))/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 381] -> 
  {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   -((-90 + 453*T1 - 692*T1^2 + 453*T1^3 - 90*T1^4 + 453*T2 - 1971*T1*T2 + 
      1886*T1^2*T2 + 176*T1^3*T2 - 1161*T1^4*T2 + 318*T1^5*T2 - 692*T2^2 + 
      1886*T1*T2^2 + 2520*T1^2*T2^2 - 7518*T1^3*T2^2 + 5280*T1^4*T2^2 - 
      184*T1^5*T2^2 - 278*T1^6*T2^2 + 453*T2^3 + 176*T1*T2^3 - 
      7518*T1^2*T2^3 + 9504*T1^3*T2^3 - 1176*T1^4*T2^3 - 4413*T1^5*T2^3 + 
      1166*T1^6*T2^3 + 48*T1^7*T2^3 - 90*T2^4 - 1161*T1*T2^4 + 
      5280*T1^2*T2^4 - 1176*T1^3*T2^4 - 7428*T1^4*T2^4 + 7284*T1^5*T2^4 - 
      642*T1^6*T2^4 - 351*T1^7*T2^4 + 18*T1^8*T2^4 + 318*T1*T2^5 - 
      184*T1^2*T2^5 - 4413*T1^3*T2^5 + 7284*T1^4*T2^5 - 3396*T1^5*T2^5 - 
      1308*T1^6*T2^5 + 806*T1^7*T2^5 - 87*T1^8*T2^5 - 278*T1^2*T2^6 + 
      1166*T1^3*T2^6 - 642*T1^4*T2^6 - 1308*T1^5*T2^6 + 2118*T1^6*T2^6 - 
      904*T1^7*T2^6 + 136*T1^8*T2^6 + 48*T1^3*T2^7 - 351*T1^4*T2^7 + 
      806*T1^5*T2^7 - 904*T1^6*T2^7 + 459*T1^7*T2^7 - 87*T1^8*T2^7 + 
      18*T1^4*T2^8 - 87*T1^5*T2^8 + 136*T1^6*T2^8 - 87*T1^7*T2^8 + 
      18*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 382] -> {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   -((-3 + 14*T1 - 21*T1^2 + 14*T1^3 - 3*T1^4 + 14*T2 - 55*T1*T2 + 
      52*T1^2*T2 - 8*T1^3*T2 - 25*T1^4*T2 + 9*T1^5*T2 - 21*T2^2 + 
      52*T1*T2^2 + 43*T1^2*T2^2 - 135*T1^3*T2^2 + 127*T1^4*T2^2 - 
      18*T1^5*T2^2 - 7*T1^6*T2^2 + 14*T2^3 - 8*T1*T2^3 - 135*T1^2*T2^3 + 
      208*T1^3*T2^3 - 122*T1^4*T2^3 - 30*T1^5*T2^3 + 32*T1^6*T2^3 - 
      T1^7*T2^3 - 3*T2^4 - 25*T1*T2^4 + 127*T1^2*T2^4 - 122*T1^3*T2^4 - 
      48*T1^4*T2^4 + 158*T1^5*T2^4 - 95*T1^6*T2^4 + 5*T1^7*T2^4 + T1^8*T2^4 + 
      9*T1*T2^5 - 18*T1^2*T2^5 - 30*T1^3*T2^5 + 158*T1^4*T2^5 - 
      172*T1^5*T2^5 + 75*T1^6*T2^5 + 22*T1^7*T2^5 - 6*T1^8*T2^5 - 
      7*T1^2*T2^6 + 32*T1^3*T2^6 - 95*T1^4*T2^6 + 75*T1^5*T2^6 - 
      11*T1^6*T2^6 - 38*T1^7*T2^6 + 7*T1^8*T2^6 - T1^3*T2^7 + 5*T1^4*T2^7 + 
      22*T1^5*T2^7 - 38*T1^6*T2^7 + 35*T1^7*T2^7 - 6*T1^8*T2^7 + T1^4*T2^8 - 
      6*T1^5*T2^8 + 7*T1^6*T2^8 - 6*T1^7*T2^8 + T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 383] -> 
  {-((3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4)/T^2), 
   -((-90 + 394*T1 - 574*T1^2 + 394*T1^3 - 90*T1^4 + 394*T2 - 1453*T1*T2 + 
      1299*T1^2*T2 + 51*T1^3*T2 - 829*T1^4*T2 + 277*T1^5*T2 - 574*T2^2 + 
      1299*T1*T2^2 + 1475*T1^2*T2^2 - 4287*T1^3*T2^2 + 3299*T1^4*T2^2 - 
      183*T1^5*T2^2 - 232*T1^6*T2^2 + 394*T2^3 + 51*T1*T2^3 - 
      4287*T1^2*T2^3 + 5130*T1^3*T2^3 - 902*T1^4*T2^3 - 2558*T1^5*T2^3 + 
      831*T1^6*T2^3 + 43*T1^7*T2^3 - 90*T2^4 - 829*T1*T2^4 + 3299*T1^2*T2^4 - 
      902*T1^3*T2^4 - 3588*T1^4*T2^4 + 4038*T1^5*T2^4 - 411*T1^6*T2^4 - 
      283*T1^7*T2^4 + 18*T1^8*T2^4 + 277*T1*T2^5 - 183*T1^2*T2^5 - 
      2558*T1^3*T2^5 + 4038*T1^4*T2^5 - 1994*T1^5*T2^5 - 829*T1^6*T2^5 + 
      597*T1^7*T2^5 - 74*T1^8*T2^5 - 232*T1^2*T2^6 + 831*T1^3*T2^6 - 
      411*T1^4*T2^6 - 829*T1^5*T2^6 + 1413*T1^6*T2^6 - 651*T1^7*T2^6 + 
      110*T1^8*T2^6 + 43*T1^3*T2^7 - 283*T1^4*T2^7 + 597*T1^5*T2^7 - 
      651*T1^6*T2^7 + 341*T1^7*T2^7 - 74*T1^8*T2^7 + 18*T1^4*T2^8 - 
      74*T1^5*T2^8 + 110*T1^6*T2^8 - 74*T1^7*T2^8 + 18*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 384] -> 
  {-((3 - 13*T + 25*T^2 - 31*T^3 + 25*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 593*T1 - 1132*T1^2 + 1402*T1^3 - 1132*T1^4 + 593*T1^5 - 
      138*T1^6 + 593*T2 - 2075*T1*T2 + 2831*T1^2*T2 - 2139*T1^3*T2 + 
      45*T1^4*T2 + 1349*T1^5*T2 - 1451*T1^6*T2 + 476*T1^7*T2 - 1132*T2^2 + 
      2831*T1*T2^2 - 1189*T1^2*T2^2 - 2443*T1^3*T2^2 + 6075*T1^4*T2^2 - 
      5143*T1^5*T2^2 + 2111*T1^6*T2^2 + 881*T1^7*T2^2 - 682*T1^8*T2^2 + 
      1402*T2^3 - 2139*T1*T2^3 - 2443*T1^2*T2^3 + 6200*T1^3*T2^3 - 
      6843*T1^4*T2^3 + 755*T1^5*T2^3 + 3336*T1^6*T2^3 - 4218*T1^7*T2^3 + 
      513*T1^8*T2^3 + 565*T1^9*T2^3 - 1132*T2^4 + 45*T1*T2^4 + 
      6075*T1^2*T2^4 - 6843*T1^3*T2^4 + 3293*T1^4*T2^4 + 4571*T1^5*T2^4 - 
      4615*T1^6*T2^4 + 1589*T1^7*T2^4 + 3097*T1^8*T2^4 - 1437*T1^9*T2^4 - 
      232*T1^10*T2^4 + 593*T2^5 + 1349*T1*T2^5 - 5143*T1^2*T2^5 + 
      755*T1^3*T2^5 + 4571*T1^4*T2^5 - 8055*T1^5*T2^5 + 1415*T1^6*T2^5 + 
      3396*T1^7*T2^5 - 5175*T1^8*T2^5 + 332*T1^9*T2^5 + 959*T1^10*T2^5 + 
      8*T1^11*T2^5 - 138*T2^6 - 1451*T1*T2^6 + 2111*T1^2*T2^6 + 
      3336*T1^3*T2^6 - 4615*T1^4*T2^6 + 1415*T1^5*T2^6 + 6600*T1^6*T2^6 - 
      6915*T1^7*T2^6 + 3279*T1^8*T2^6 + 2312*T1^9*T2^6 - 1577*T1^10*T2^6 - 
      125*T1^11*T2^6 + 24*T1^12*T2^6 + 476*T1*T2^7 + 881*T1^2*T2^7 - 
      4218*T1^3*T2^7 + 1589*T1^4*T2^7 + 3396*T1^5*T2^7 - 6915*T1^6*T2^7 + 
      2555*T1^7*T2^7 + 2221*T1^8*T2^7 - 4341*T1^9*T2^7 + 1257*T1^10*T2^7 + 
      491*T1^11*T2^7 - 109*T1^12*T2^7 - 682*T1^2*T2^8 + 513*T1^3*T2^8 + 
      3097*T1^4*T2^8 - 5175*T1^5*T2^8 + 3279*T1^6*T2^8 + 2221*T1^7*T2^8 - 
      4629*T1^8*T2^8 + 3257*T1^9*T2^8 + 119*T1^10*T2^8 - 969*T1^11*T2^8 + 
      218*T1^12*T2^8 + 565*T1^3*T2^9 - 1437*T1^4*T2^9 + 332*T1^5*T2^9 + 
      2312*T1^6*T2^9 - 4341*T1^7*T2^9 + 3257*T1^8*T2^9 - 552*T1^9*T2^9 - 
      1443*T1^10*T2^9 + 1215*T1^11*T2^9 - 272*T1^12*T2^9 - 232*T1^4*T2^10 + 
      959*T1^5*T2^10 - 1577*T1^6*T2^10 + 1257*T1^7*T2^10 + 119*T1^8*T2^10 - 
      1443*T1^9*T2^10 + 1723*T1^10*T2^10 - 991*T1^11*T2^10 + 
      218*T1^12*T2^10 + 8*T1^5*T2^11 - 125*T1^6*T2^11 + 491*T1^7*T2^11 - 
      969*T1^8*T2^11 + 1215*T1^9*T2^11 - 991*T1^10*T2^11 + 499*T1^11*T2^11 - 
      109*T1^12*T2^11 + 24*T1^6*T2^12 - 109*T1^7*T2^12 + 218*T1^8*T2^12 - 
      272*T1^9*T2^12 + 218*T1^10*T2^12 - 109*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 385] -> 
  {-((1 - 7*T + 17*T^2 - 23*T^3 + 17*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 51*T1^2 + 69*T1^3 - 51*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 258*T1^2*T2 - 245*T1^3*T2 + 35*T1^4*T2 + 90*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 51*T2^2 + 258*T1*T2^2 - 180*T1^2*T2^2 - 
      405*T1^3*T2^2 + 1148*T1^4*T2^2 - 949*T1^5*T2^2 + 364*T1^6*T2^2 + 
      20*T1^7*T2^2 - 17*T1^8*T2^2 + 69*T2^3 - 245*T1*T2^3 - 405*T1^2*T2^3 + 
      1642*T1^3*T2^3 - 2314*T1^4*T2^3 + 790*T1^5*T2^3 + 442*T1^6*T2^3 - 
      626*T1^7*T2^3 + 119*T1^8*T2^3 - 51*T2^4 + 35*T1*T2^4 + 1148*T1^2*T2^4 - 
      2314*T1^3*T2^4 + 1821*T1^4*T2^4 + 1301*T1^5*T2^4 - 2243*T1^6*T2^4 + 
      1274*T1^7*T2^4 + 50*T1^8*T2^4 - 119*T1^9*T2^4 + 17*T1^10*T2^4 + 
      21*T2^5 + 90*T1*T2^5 - 949*T1^2*T2^5 + 790*T1^3*T2^5 + 1301*T1^4*T2^5 - 
      4337*T1^5*T2^5 + 3015*T1^6*T2^5 - 110*T1^7*T2^5 - 1346*T1^8*T2^5 + 
      564*T1^9*T2^5 - 22*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 77*T1*T2^6 + 
      364*T1^2*T2^6 + 442*T1^3*T2^6 - 2243*T1^4*T2^6 + 3015*T1^5*T2^6 + 
      276*T1^6*T2^6 - 3139*T1^7*T2^6 + 2599*T1^8*T2^6 - 410*T1^9*T2^6 - 
      328*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      20*T1^2*T2^7 - 626*T1^3*T2^7 + 1274*T1^4*T2^7 - 110*T1^5*T2^7 - 
      3139*T1^6*T2^7 + 4213*T1^7*T2^7 - 1521*T1^8*T2^7 - 862*T1^9*T2^7 + 
      887*T1^10*T2^7 - 92*T1^11*T2^7 - 21*T1^12*T2^7 - 17*T1^2*T2^8 + 
      119*T1^3*T2^8 + 50*T1^4*T2^8 - 1346*T1^5*T2^8 + 2599*T1^6*T2^8 - 
      1521*T1^7*T2^8 - 1465*T1^8*T2^8 + 2242*T1^9*T2^8 - 1048*T1^10*T2^8 - 
      35*T1^11*T2^8 + 51*T1^12*T2^8 - 119*T1^4*T2^9 + 564*T1^5*T2^9 - 
      410*T1^6*T2^9 - 862*T1^7*T2^9 + 2242*T1^8*T2^9 - 1610*T1^9*T2^9 + 
      343*T1^10*T2^9 + 245*T1^11*T2^9 - 69*T1^12*T2^9 + 17*T1^4*T2^10 - 
      22*T1^5*T2^10 - 328*T1^6*T2^10 + 887*T1^7*T2^10 - 1048*T1^8*T2^10 + 
      343*T1^9*T2^10 + 216*T1^10*T2^10 - 260*T1^11*T2^10 + 51*T1^12*T2^10 - 
      14*T1^5*T2^11 + 77*T1^6*T2^11 - 92*T1^7*T2^11 - 35*T1^8*T2^11 + 
      245*T1^9*T2^11 - 260*T1^10*T2^11 + 133*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 51*T1^8*T2^12 - 69*T1^9*T2^12 + 
      51*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 386] -> 
  {((1 - T + T^2)^2*(2 - 3*T^2 + 2*T^4))/T^4, 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (65 - 64*T1 - 33*T1^2 + 97*T1^3 - 33*T1^4 - 64*T1^5 + 65*T1^6 - 64*T2 + 
       16*T1*T2 + 80*T1^2*T2 - 72*T1^3*T2 - 40*T1^4*T2 + 88*T1^5*T2 - 
       16*T1^6*T2 - 48*T1^7*T2 - 33*T2^2 + 80*T1*T2^2 - 73*T1^2*T2^2 - 
       33*T1^3*T2^2 + 111*T1^4*T2^2 - 53*T1^5*T2^2 - 61*T1^6*T2^2 + 
       88*T1^7*T2^2 - 41*T1^8*T2^2 + 97*T2^3 - 72*T1*T2^3 - 33*T1^2*T2^3 + 
       112*T1^3*T2^3 - 57*T1^4*T2^3 - 49*T1^5*T2^3 + 96*T1^6*T2^3 - 
       41*T1^7*T2^3 - 8*T1^8*T2^3 + 49*T1^9*T2^3 - 33*T2^4 - 40*T1*T2^4 + 
       111*T1^2*T2^4 - 57*T1^3*T2^4 - 47*T1^4*T2^4 + 85*T1^5*T2^4 - 
       47*T1^6*T2^4 - 33*T1^7*T2^4 + 67*T1^8*T2^4 - 56*T1^9*T2^4 + 
       7*T1^10*T2^4 - 64*T2^5 + 88*T1*T2^5 - 53*T1^2*T2^5 - 49*T1^3*T2^5 + 
       85*T1^4*T2^5 - 20*T1^5*T2^5 - 60*T1^6*T2^5 + 63*T1^7*T2^5 - 
       33*T1^8*T2^5 - 9*T1^9*T2^5 + 8*T1^10*T2^5 - 16*T1^11*T2^5 + 65*T2^6 - 
       16*T1*T2^6 - 61*T1^2*T2^6 + 96*T1^3*T2^6 - 47*T1^4*T2^6 - 
       60*T1^5*T2^6 + 84*T1^6*T2^6 - 8*T1^7*T2^6 - 27*T1^8*T2^6 + 
       40*T1^9*T2^6 - 21*T1^10*T2^6 + 16*T1^11*T2^6 + T1^12*T2^6 - 
       48*T1*T2^7 + 88*T1^2*T2^7 - 41*T1^3*T2^7 - 33*T1^4*T2^7 + 
       63*T1^5*T2^7 - 8*T1^6*T2^7 - 48*T1^7*T2^7 + 41*T1^8*T2^7 - 
       17*T1^9*T2^7 + 3*T1^10*T2^7 + 8*T1^11*T2^7 - 41*T1^2*T2^8 - 
       8*T1^3*T2^8 + 67*T1^4*T2^8 - 33*T1^5*T2^8 - 27*T1^6*T2^8 + 
       41*T1^7*T2^8 - 27*T1^8*T2^8 - 9*T1^9*T2^8 + 23*T1^10*T2^8 - 
       24*T1^11*T2^8 - T1^12*T2^8 + 49*T1^3*T2^9 - 56*T1^4*T2^9 - 
       9*T1^5*T2^9 + 40*T1^6*T2^9 - 17*T1^7*T2^9 - 9*T1^8*T2^9 + 
       24*T1^9*T2^9 - 17*T1^10*T2^9 + 8*T1^11*T2^9 + T1^12*T2^9 + 
       7*T1^4*T2^10 + 8*T1^5*T2^10 - 21*T1^6*T2^10 + 3*T1^7*T2^10 + 
       23*T1^8*T2^10 - 17*T1^9*T2^10 - 9*T1^10*T2^10 + 16*T1^11*T2^10 - 
       T1^12*T2^10 - 16*T1^5*T2^11 + 16*T1^6*T2^11 + 8*T1^7*T2^11 - 
       24*T1^8*T2^11 + 8*T1^9*T2^11 + 16*T1^10*T2^11 - 16*T1^11*T2^11 + 
       T1^6*T2^12 - T1^8*T2^12 + T1^9*T2^12 - T1^10*T2^12 + T1^12*T2^12))/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 387] -> 
  {-(((1 - T + T^2)*(1 - 4*T + T^2 + 3*T^3 + T^4 - 4*T^5 + T^6))/T^4), 
   -((-7 + 35*T1 - 42*T1^2 + 14*T1^3 + 7*T1^4 + 14*T1^5 - 42*T1^6 + 35*T1^7 - 
      7*T1^8 + 35*T2 - 145*T1*T2 + 60*T1^2*T2 + 110*T1^3*T2 - 95*T1^4*T2 - 
      100*T1^5*T2 + 150*T1^6*T2 + 5*T1^7*T2 - 115*T1^8*T2 + 30*T1^9*T2 - 
      42*T2^2 + 60*T1*T2^2 + 462*T1^2*T2^2 - 656*T1^3*T2^2 + 154*T1^4*T2^2 + 
      300*T1^5*T2^2 + 70*T1^6*T2^2 - 620*T1^7*T2^2 + 522*T1^8*T2^2 - 
      30*T1^10*T2^2 + 14*T2^3 + 110*T1*T2^3 - 656*T1^2*T2^3 + 304*T1^3*T2^3 + 
      482*T1^4*T2^3 - 456*T1^5*T2^3 - 438*T1^6*T2^3 + 698*T1^7*T2^3 - 
      8*T1^8*T2^3 - 512*T1^9*T2^3 + 110*T1^10*T2^3 + 8*T1^11*T2^3 + 7*T2^4 - 
      95*T1*T2^4 + 154*T1^2*T2^4 + 482*T1^3*T2^4 - 752*T1^4*T2^4 + 
      149*T1^5*T2^4 + 432*T1^6*T2^4 - 3*T1^7*T2^4 - 684*T1^8*T2^4 + 
      590*T1^9*T2^4 + 30*T1^10*T2^4 - 55*T1^11*T2^4 + 3*T1^12*T2^4 + 
      14*T2^5 - 100*T1*T2^5 + 300*T1^2*T2^5 - 456*T1^3*T2^5 + 149*T1^4*T2^5 + 
      239*T1^5*T2^5 - 111*T1^6*T2^5 - 353*T1^7*T2^5 + 425*T1^8*T2^5 - 
      18*T1^9*T2^5 - 274*T1^10*T2^5 + 153*T1^11*T2^5 - 35*T1^12*T2^5 + 
      4*T1^13*T2^5 - 42*T2^6 + 150*T1*T2^6 + 70*T1^2*T2^6 - 438*T1^3*T2^6 + 
      432*T1^4*T2^6 - 111*T1^5*T2^6 - 65*T1^6*T2^6 - 119*T1^7*T2^6 + 
      319*T1^8*T2^6 - 299*T1^9*T2^6 + 256*T1^10*T2^6 - 210*T1^11*T2^6 + 
      74*T1^12*T2^6 + 10*T1^13*T2^6 - 6*T1^14*T2^6 + 35*T2^7 + 5*T1*T2^7 - 
      620*T1^2*T2^7 + 698*T1^3*T2^7 - 3*T1^4*T2^7 - 353*T1^5*T2^7 - 
      119*T1^6*T2^7 + 681*T1^7*T2^7 - 469*T1^8*T2^7 - 39*T1^9*T2^7 - 
      3*T1^10*T2^7 + 104*T1^11*T2^7 + 50*T1^12*T2^7 - 116*T1^13*T2^7 + 
      30*T1^14*T2^7 - 7*T2^8 - 115*T1*T2^8 + 522*T1^2*T2^8 - 8*T1^3*T2^8 - 
      684*T1^4*T2^8 + 425*T1^5*T2^8 + 319*T1^6*T2^8 - 469*T1^7*T2^8 - 
      240*T1^8*T2^8 + 617*T1^9*T2^8 - 197*T1^10*T2^8 + 11*T1^11*T2^8 - 
      168*T1^12*T2^8 + 164*T1^13*T2^8 - 36*T1^14*T2^8 - 5*T1^15*T2^8 + 
      T1^16*T2^8 + 30*T1*T2^9 - 512*T1^3*T2^9 + 590*T1^4*T2^9 - 
      18*T1^5*T2^9 - 299*T1^6*T2^9 - 39*T1^7*T2^9 + 617*T1^8*T2^9 - 
      533*T1^9*T2^9 + 41*T1^10*T2^9 + 51*T1^11*T2^9 + 89*T1^12*T2^9 - 
      58*T1^13*T2^9 - 8*T1^14*T2^9 + 25*T1^15*T2^9 - 5*T1^16*T2^9 - 
      30*T1^2*T2^10 + 110*T1^3*T2^10 + 30*T1^4*T2^10 - 274*T1^5*T2^10 + 
      256*T1^6*T2^10 - 3*T1^7*T2^10 - 197*T1^8*T2^10 + 41*T1^9*T2^10 + 
      187*T1^10*T2^10 - 191*T1^11*T2^10 + 80*T1^12*T2^10 - 46*T1^13*T2^10 + 
      34*T1^14*T2^10 - 30*T1^15*T2^10 + 6*T1^16*T2^10 + 8*T1^3*T2^11 - 
      55*T1^4*T2^11 + 153*T1^5*T2^11 - 210*T1^6*T2^11 + 104*T1^7*T2^11 + 
      11*T1^8*T2^11 + 51*T1^9*T2^11 - 191*T1^10*T2^11 + 197*T1^11*T2^11 - 
      63*T1^12*T2^11 - 28*T1^13*T2^11 + 6*T1^14*T2^11 + 10*T1^15*T2^11 - 
      2*T1^16*T2^11 + 3*T1^4*T2^12 - 35*T1^5*T2^12 + 74*T1^6*T2^12 + 
      50*T1^7*T2^12 - 168*T1^8*T2^12 + 89*T1^9*T2^12 + 80*T1^10*T2^12 - 
      63*T1^11*T2^12 - 100*T1^12*T2^12 + 158*T1^13*T2^12 - 50*T1^14*T2^12 + 
      5*T1^15*T2^12 - T1^16*T2^12 + 4*T1^5*T2^13 + 10*T1^6*T2^13 - 
      116*T1^7*T2^13 + 164*T1^8*T2^13 - 58*T1^9*T2^13 - 46*T1^10*T2^13 - 
      28*T1^11*T2^13 + 158*T1^12*T2^13 - 148*T1^13*T2^13 + 28*T1^14*T2^13 + 
      10*T1^15*T2^13 - 2*T1^16*T2^13 - 6*T1^6*T2^14 + 30*T1^7*T2^14 - 
      36*T1^8*T2^14 - 8*T1^9*T2^14 + 34*T1^10*T2^14 + 6*T1^11*T2^14 - 
      50*T1^12*T2^14 + 28*T1^13*T2^14 + 24*T1^14*T2^14 - 30*T1^15*T2^14 + 
      6*T1^16*T2^14 - 5*T1^8*T2^15 + 25*T1^9*T2^15 - 30*T1^10*T2^15 + 
      10*T1^11*T2^15 + 5*T1^12*T2^15 + 10*T1^13*T2^15 - 30*T1^14*T2^15 + 
      25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      6*T1^10*T2^16 - 2*T1^11*T2^16 - T1^12*T2^16 - 2*T1^13*T2^16 + 
      6*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 388] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -((-3 + 15*T1 - 30*T1^2 + 39*T1^3 - 30*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 100*T1^2*T2 - 95*T1^3*T2 + 20*T1^4*T2 + 25*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 30*T2^2 + 100*T1*T2^2 - 66*T1^2*T2^2 - 
      32*T1^3*T2^2 + 210*T1^4*T2^2 - 192*T1^5*T2^2 + 114*T1^6*T2^2 - 
      10*T1^8*T2^2 + 39*T2^3 - 95*T1*T2^3 - 32*T1^2*T2^3 + 143*T1^3*T2^3 - 
      358*T1^4*T2^3 + 207*T1^5*T2^3 - 61*T1^6*T2^3 - 122*T1^7*T2^3 + 
      50*T1^8*T2^3 - 30*T2^4 + 20*T1*T2^4 + 210*T1^2*T2^4 - 358*T1^3*T2^4 + 
      686*T1^4*T2^4 - 340*T1^5*T2^4 + 6*T1^6*T2^4 + 292*T1^7*T2^4 - 
      40*T1^8*T2^4 - 50*T1^9*T2^4 + 10*T1^10*T2^4 + 15*T2^5 + 25*T1*T2^5 - 
      192*T1^2*T2^5 + 207*T1^3*T2^5 - 340*T1^4*T2^5 - 325*T1^5*T2^5 + 
      565*T1^6*T2^5 - 440*T1^7*T2^5 - 188*T1^8*T2^5 + 178*T1^9*T2^5 - 
      10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 114*T1^2*T2^6 - 61*T1^3*T2^6 + 
      6*T1^4*T2^6 + 565*T1^5*T2^6 - 360*T1^6*T2^6 - 165*T1^7*T2^6 + 
      566*T1^8*T2^6 - 139*T1^9*T2^6 - 126*T1^10*T2^6 + 35*T1^11*T2^6 + 
      3*T1^12*T2^6 + 10*T1*T2^7 - 122*T1^3*T2^7 + 292*T1^4*T2^7 - 
      440*T1^5*T2^7 - 165*T1^6*T2^7 + 725*T1^7*T2^7 - 540*T1^8*T2^7 - 
      103*T1^9*T2^7 + 248*T1^10*T2^7 - 25*T1^11*T2^7 - 15*T1^12*T2^7 - 
      10*T1^2*T2^8 + 50*T1^3*T2^8 - 40*T1^4*T2^8 - 188*T1^5*T2^8 + 
      566*T1^6*T2^8 - 540*T1^7*T2^8 - 114*T1^8*T2^8 + 462*T1^9*T2^8 - 
      290*T1^10*T2^8 - 20*T1^11*T2^8 + 30*T1^12*T2^8 - 50*T1^4*T2^9 + 
      178*T1^5*T2^9 - 139*T1^6*T2^9 - 103*T1^7*T2^9 + 462*T1^8*T2^9 - 
      343*T1^9*T2^9 + 88*T1^10*T2^9 + 95*T1^11*T2^9 - 39*T1^12*T2^9 + 
      10*T1^4*T2^10 - 126*T1^6*T2^10 + 248*T1^7*T2^10 - 290*T1^8*T2^10 + 
      88*T1^9*T2^10 + 54*T1^10*T2^10 - 100*T1^11*T2^10 + 30*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 25*T1^7*T2^11 - 20*T1^8*T2^11 + 
      95*T1^9*T2^11 - 100*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 30*T1^8*T2^12 - 39*T1^9*T2^12 + 
      30*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 389] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 96*T1^2 + 124*T1^3 - 96*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 621*T1^2*T2 - 464*T1^3*T2 + 31*T1^4*T2 + 324*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 96*T2^2 + 621*T1*T2^2 - 85*T1^2*T2^2 - 
     2626*T1^3*T2^2 + 4281*T1^4*T2^2 - 3682*T1^5*T2^2 + 1019*T1^6*T2^2 + 
     189*T1^7*T2^2 - 48*T1^8*T2^2 + 124*T2^3 - 464*T1*T2^3 - 2626*T1^2*T2^3 + 
     8187*T1^3*T2^3 - 7080*T1^4*T2^3 + 1731*T1^5*T2^3 + 4035*T1^6*T2^3 - 
     2698*T1^7*T2^3 + 157*T1^8*T2^3 + 31*T1^9*T2^3 - 96*T2^4 + 31*T1*T2^4 + 
     4281*T1^2*T2^4 - 7080*T1^3*T2^4 - 2131*T1^4*T2^4 + 10397*T1^5*T2^4 - 
     12199*T1^6*T2^4 + 2778*T1^7*T2^4 + 1563*T1^8*T2^4 - 275*T1^9*T2^4 + 
     36*T2^5 + 324*T1*T2^5 - 3682*T1^2*T2^5 + 1731*T1^3*T2^5 + 
     10397*T1^4*T2^5 - 13123*T1^5*T2^5 + 6863*T1^6*T2^5 + 5501*T1^7*T2^5 - 
     4986*T1^8*T2^5 + 326*T1^9*T2^5 + 81*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 1019*T1^2*T2^6 + 4035*T1^3*T2^6 - 12199*T1^4*T2^6 + 
     6863*T1^5*T2^6 + 3564*T1^6*T2^6 - 11083*T1^7*T2^6 + 4397*T1^8*T2^6 + 
     1257*T1^9*T2^6 - 601*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 189*T1^2*T2^7 - 2698*T1^3*T2^7 + 2778*T1^4*T2^7 + 
     5501*T1^5*T2^7 - 11083*T1^6*T2^7 + 8903*T1^7*T2^7 + 605*T1^8*T2^7 - 
     3939*T1^9*T2^7 + 1310*T1^10*T2^7 - 54*T1^11*T2^7 - 18*T1^12*T2^7 - 
     48*T1^2*T2^8 + 157*T1^3*T2^8 + 1563*T1^4*T2^8 - 4986*T1^5*T2^8 + 
     4397*T1^6*T2^8 + 605*T1^7*T2^8 - 5671*T1^8*T2^8 + 4872*T1^9*T2^8 - 
     1155*T1^10*T2^8 - 149*T1^11*T2^8 + 48*T1^12*T2^8 + 31*T1^3*T2^9 - 
     275*T1^4*T2^9 + 326*T1^5*T2^9 + 1257*T1^6*T2^9 - 3939*T1^7*T2^9 + 
     4872*T1^8*T2^9 - 2895*T1^9*T2^9 + 254*T1^10*T2^9 + 346*T1^11*T2^9 - 
     62*T1^12*T2^9 + 81*T1^5*T2^10 - 601*T1^6*T2^10 + 1310*T1^7*T2^10 - 
     1155*T1^8*T2^10 + 254*T1^9*T2^10 + 503*T1^10*T2^10 - 351*T1^11*T2^10 + 
     48*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 54*T1^7*T2^11 - 
     149*T1^8*T2^11 + 346*T1^9*T2^11 - 351*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 
     62*T1^9*T2^12 + 48*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 390] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     126*T1*T2 + 228*T1^2*T2 - 157*T1^3*T2 + 29*T1^4*T2 + 108*T1^5*T2 - 
     84*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 228*T1*T2^2 - 169*T1^2*T2^2 - 
     373*T1^3*T2^2 + 655*T1^4*T2^2 - 681*T1^5*T2^2 + 195*T1^6*T2^2 + 
     60*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 157*T1*T2^3 - 373*T1^2*T2^3 + 
     1337*T1^3*T2^3 - 1110*T1^4*T2^3 + 474*T1^5*T2^3 + 575*T1^6*T2^3 - 
     499*T1^7*T2^3 + 65*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 29*T1*T2^4 + 
     655*T1^2*T2^4 - 1110*T1^3*T2^4 - 269*T1^4*T2^4 + 1273*T1^5*T2^4 - 
     1785*T1^6*T2^4 + 590*T1^7*T2^4 + 215*T1^8*T2^4 - 103*T1^9*T2^4 + 
     24*T2^5 + 108*T1*T2^5 - 681*T1^2*T2^5 + 474*T1^3*T2^5 + 1273*T1^4*T2^5 - 
     1620*T1^5*T2^5 + 928*T1^6*T2^5 + 629*T1^7*T2^5 - 878*T1^8*T2^5 + 
     173*T1^9*T2^5 + 36*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 84*T1*T2^6 + 
     195*T1^2*T2^6 + 575*T1^3*T2^6 - 1785*T1^4*T2^6 + 928*T1^5*T2^6 + 
     684*T1^6*T2^6 - 1548*T1^7*T2^6 + 947*T1^8*T2^6 + 137*T1^9*T2^6 - 
     193*T1^10*T2^6 + 24*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     60*T1^2*T2^7 - 499*T1^3*T2^7 + 590*T1^4*T2^7 + 629*T1^5*T2^7 - 
     1548*T1^6*T2^7 + 1000*T1^7*T2^7 - 15*T1^8*T2^7 - 762*T1^9*T2^7 + 
     355*T1^10*T2^7 - 12*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     65*T1^3*T2^8 + 215*T1^4*T2^8 - 878*T1^5*T2^8 + 947*T1^6*T2^8 - 
     15*T1^7*T2^8 - 569*T1^8*T2^8 + 822*T1^9*T2^8 - 225*T1^10*T2^8 - 
     67*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 103*T1^4*T2^9 + 
     173*T1^5*T2^9 + 137*T1^6*T2^9 - 762*T1^7*T2^9 + 822*T1^8*T2^9 - 
     625*T1^9*T2^9 + 47*T1^10*T2^9 + 119*T1^11*T2^9 - 34*T1^12*T2^9 + 
     36*T1^5*T2^10 - 193*T1^6*T2^10 + 355*T1^7*T2^10 - 225*T1^8*T2^10 + 
     47*T1^9*T2^10 + 171*T1^10*T2^10 - 132*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 24*T1^6*T2^11 - 12*T1^7*T2^11 - 67*T1^8*T2^11 + 
     119*T1^9*T2^11 - 132*T1^10*T2^11 + 66*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 391] -> 
  {(3 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-51 + 207*T1 - 451*T1^2 + 575*T1^3 - 451*T1^4 + 207*T1^5 - 51*T1^6 + 
     207*T2 - 740*T1*T2 + 1420*T1^2*T2 - 1437*T1^3*T2 + 687*T1^4*T2 + 
     52*T1^5*T2 - 200*T1^6*T2 + 99*T1^7*T2 - 451*T2^2 + 1420*T1*T2^2 - 
     2316*T1^2*T2^2 + 1479*T1^3*T2^2 + 594*T1^4*T2^2 - 1797*T1^5*T2^2 + 
     1272*T1^6*T2^2 - 452*T1^7*T2^2 + 17*T1^8*T2^2 + 575*T2^3 - 
     1437*T1*T2^3 + 1479*T1^2*T2^3 + 1013*T1^3*T2^3 - 3809*T1^4*T2^3 + 
     3313*T1^5*T2^3 - 151*T1^6*T2^3 - 1563*T1^7*T2^3 + 1191*T1^8*T2^3 - 
     316*T1^9*T2^3 - 451*T2^4 + 687*T1*T2^4 + 594*T1^2*T2^4 - 
     3809*T1^3*T2^4 + 5055*T1^4*T2^4 - 693*T1^5*T2^4 - 4401*T1^6*T2^4 + 
     4111*T1^7*T2^4 - 798*T1^8*T2^4 - 681*T1^9*T2^4 + 485*T1^10*T2^4 + 
     207*T2^5 + 52*T1*T2^5 - 1797*T1^2*T2^5 + 3313*T1^3*T2^5 - 
     693*T1^4*T2^5 - 7404*T1^5*T2^5 + 10350*T1^6*T2^5 - 4281*T1^7*T2^5 - 
     2213*T1^8*T2^5 + 2181*T1^9*T2^5 - 596*T1^10*T2^5 - 333*T1^11*T2^5 - 
     51*T2^6 - 200*T1*T2^6 + 1272*T1^2*T2^6 - 151*T1^3*T2^6 - 
     4401*T1^4*T2^6 + 10350*T1^5*T2^6 - 5400*T1^6*T2^6 - 5442*T1^7*T2^6 + 
     9091*T1^8*T2^6 - 3181*T1^9*T2^6 - 180*T1^10*T2^6 + 880*T1^11*T2^6 + 
     111*T1^12*T2^6 + 99*T1*T2^7 - 452*T1^2*T2^7 - 1563*T1^3*T2^7 + 
     4111*T1^4*T2^7 - 4281*T1^5*T2^7 - 5442*T1^6*T2^7 + 12312*T1^7*T2^7 - 
     7869*T1^8*T2^7 - 1415*T1^9*T2^7 + 2415*T1^10*T2^7 - 1100*T1^11*T2^7 - 
     441*T1^12*T2^7 + 17*T1^2*T2^8 + 1191*T1^3*T2^8 - 798*T1^4*T2^8 - 
     2213*T1^5*T2^8 + 9091*T1^6*T2^8 - 7869*T1^7*T2^8 - 365*T1^8*T2^8 + 
     5707*T1^9*T2^8 - 2190*T1^10*T2^8 - 177*T1^11*T2^8 + 953*T1^12*T2^8 - 
     316*T1^3*T2^9 - 681*T1^4*T2^9 + 2181*T1^5*T2^9 - 3181*T1^6*T2^9 - 
     1415*T1^7*T2^9 + 5707*T1^8*T2^9 - 4345*T1^9*T2^9 - 861*T1^10*T2^9 + 
     1947*T1^11*T2^9 - 1207*T1^12*T2^9 + 485*T1^4*T2^10 - 596*T1^5*T2^10 - 
     180*T1^6*T2^10 + 2415*T1^7*T2^10 - 2190*T1^8*T2^10 - 861*T1^9*T2^10 + 
     3408*T1^10*T2^10 - 2468*T1^11*T2^10 + 953*T1^12*T2^10 - 333*T1^5*T2^11 + 
     880*T1^6*T2^11 - 1100*T1^7*T2^11 - 177*T1^8*T2^11 + 1947*T1^9*T2^11 - 
     2468*T1^10*T2^11 + 1420*T1^11*T2^11 - 441*T1^12*T2^11 + 111*T1^6*T2^12 - 
     441*T1^7*T2^12 + 953*T1^8*T2^12 - 1207*T1^9*T2^12 + 953*T1^10*T2^12 - 
     441*T1^11*T2^12 + 111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 392] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 96*T1^2 + 132*T1^3 - 96*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 576*T1^2*T2 - 480*T1^3*T2 - 24*T1^4*T2 + 320*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 96*T2^2 + 576*T1*T2^2 - 828*T1^2*T2^2 - 
     994*T1^3*T2^2 + 2788*T1^4*T2^2 - 2194*T1^5*T2^2 + 276*T1^6*T2^2 + 
     192*T1^7*T2^2 - 48*T1^8*T2^2 + 132*T2^3 - 480*T1*T2^3 - 994*T1^2*T2^3 + 
     6173*T1^3*T2^3 - 6734*T1^4*T2^3 + 1042*T1^5*T2^3 + 3395*T1^6*T2^3 - 
     1642*T1^7*T2^3 + 120*T1^8*T2^3 + 33*T1^9*T2^3 - 96*T2^4 - 24*T1*T2^4 + 
     2788*T1^2*T2^4 - 6734*T1^3*T2^4 - 872*T1^4*T2^4 + 11980*T1^5*T2^4 - 
     11864*T1^6*T2^4 + 2242*T1^7*T2^4 + 868*T1^8*T2^4 - 264*T1^9*T2^4 + 
     32*T2^5 + 320*T1*T2^5 - 2194*T1^2*T2^5 + 1042*T1^3*T2^5 + 
     11980*T1^4*T2^5 - 18820*T1^5*T2^5 + 8252*T1^6*T2^5 + 5260*T1^7*T2^5 - 
     4334*T1^8*T2^5 + 662*T1^9*T2^5 + 64*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 276*T1^2*T2^6 + 3395*T1^3*T2^6 - 11864*T1^4*T2^6 + 
     8252*T1^5*T2^6 + 7344*T1^6*T2^6 - 14708*T1^7*T2^6 + 6328*T1^8*T2^6 + 
     125*T1^9*T2^6 - 476*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 192*T1^2*T2^7 - 1642*T1^3*T2^7 + 2242*T1^4*T2^7 + 
     5260*T1^5*T2^7 - 14708*T1^6*T2^7 + 12364*T1^7*T2^7 - 1460*T1^8*T2^7 - 
     3134*T1^9*T2^7 + 1214*T1^10*T2^7 - 64*T1^11*T2^7 - 16*T1^12*T2^7 - 
     48*T1^2*T2^8 + 120*T1^3*T2^8 + 868*T1^4*T2^8 - 4334*T1^5*T2^8 + 
     6328*T1^6*T2^8 - 1460*T1^7*T2^8 - 4664*T1^8*T2^8 + 4642*T1^9*T2^8 - 
     1052*T1^10*T2^8 - 120*T1^11*T2^8 + 48*T1^12*T2^8 + 33*T1^3*T2^9 - 
     264*T1^4*T2^9 + 662*T1^5*T2^9 + 125*T1^6*T2^9 - 3134*T1^7*T2^9 + 
     4642*T1^8*T2^9 - 2653*T1^9*T2^9 + 14*T1^10*T2^9 + 336*T1^11*T2^9 - 
     66*T1^12*T2^9 + 64*T1^5*T2^10 - 476*T1^6*T2^10 + 1214*T1^7*T2^10 - 
     1052*T1^8*T2^10 + 14*T1^9*T2^10 + 628*T1^10*T2^10 - 320*T1^11*T2^10 + 
     48*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 64*T1^7*T2^11 - 
     120*T1^8*T2^11 + 336*T1^9*T2^11 - 320*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 48*T1^8*T2^12 - 
     66*T1^9*T2^12 + 48*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 393] -> 
  {((3 - 3*T + T^2)*(1 - 3*T + 3*T^2))/T^2, 
   (-45 + 174*T1 - 269*T1^2 + 174*T1^3 - 45*T1^4 + 174*T2 - 606*T1*T2 + 
     796*T1^2*T2 - 320*T1^3*T2 - 66*T1^4*T2 + 66*T1^5*T2 - 269*T2^2 + 
     796*T1*T2^2 - 627*T1^2*T2^2 - 585*T1^3*T2^2 + 1197*T1^4*T2^2 - 
     572*T1^5*T2^2 + 73*T1^6*T2^2 + 174*T2^3 - 320*T1*T2^3 - 585*T1^2*T2^3 + 
     2448*T1^3*T2^3 - 3000*T1^4*T2^3 + 783*T1^5*T2^3 + 292*T1^6*T2^3 - 
     150*T1^7*T2^3 - 45*T2^4 - 66*T1*T2^4 + 1197*T1^2*T2^4 - 3000*T1^3*T2^4 + 
     2700*T1^4*T2^4 + 1176*T1^5*T2^4 - 1575*T1^6*T2^4 + 366*T1^7*T2^4 + 
     63*T1^8*T2^4 + 66*T1*T2^5 - 572*T1^2*T2^5 + 783*T1^3*T2^5 + 
     1176*T1^4*T2^5 - 4272*T1^5*T2^5 + 2151*T1^6*T2^5 + 40*T1^7*T2^5 - 
     258*T1^8*T2^5 + 73*T1^2*T2^6 + 292*T1^3*T2^6 - 1575*T1^4*T2^6 + 
     2151*T1^5*T2^6 + 249*T1^6*T2^6 - 1076*T1^7*T2^6 + 415*T1^8*T2^6 - 
     150*T1^3*T2^7 + 366*T1^4*T2^7 + 40*T1^5*T2^7 - 1076*T1^6*T2^7 + 
     906*T1^7*T2^7 - 258*T1^8*T2^7 + 63*T1^4*T2^8 - 258*T1^5*T2^8 + 
     415*T1^6*T2^8 - 258*T1^7*T2^8 + 63*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 394] -> {(1 - 3*T + T^2)^2/T^2, 
   (2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-1 + 4*T1 - T1^2 + 4*T2 - 11*T1*T2 + T1^2*T2 + T1^3*T2 - T2^2 + 
      T1*T2^2 + 6*T1^2*T2^2 - 5*T1^3*T2^2 + T1^4*T2^2 + T1*T2^3 - 
      5*T1^2*T2^3 + 7*T1^3*T2^3 - 2*T1^4*T2^3 + T1^2*T2^4 - 2*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 395] -> 
  {-((1 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + T^6)/T^3), 
   -((-1 + 8*T1 - 18*T1^2 + 23*T1^3 - 18*T1^4 + 8*T1^5 - T1^6 + 8*T2 - 
      64*T1*T2 + 144*T1^2*T2 - 184*T1^3*T2 + 144*T1^4*T2 - 64*T1^5*T2 + 
      8*T1^6*T2 - 18*T2^2 + 144*T1*T2^2 - 248*T1^2*T2^2 + 110*T1^3*T2^2 + 
      214*T1^4*T2^2 - 430*T1^5*T2^2 + 364*T1^6*T2^2 - 144*T1^7*T2^2 + 
      18*T1^8*T2^2 + 23*T2^3 - 184*T1*T2^3 + 110*T1^2*T2^3 + 817*T1^3*T2^3 - 
      1931*T1^4*T2^3 + 2179*T1^5*T2^3 - 1271*T1^6*T2^3 + 164*T1^7*T2^3 + 
      224*T1^8*T2^3 - 46*T1^9*T2^3 - 18*T2^4 + 144*T1*T2^4 + 214*T1^2*T2^4 - 
      1931*T1^3*T2^4 + 2733*T1^4*T2^4 - 1245*T1^5*T2^4 - 1563*T1^6*T2^4 + 
      2669*T1^7*T2^4 - 1434*T1^8*T2^4 - 64*T1^9*T2^4 + 54*T1^10*T2^4 + 
      8*T2^5 - 64*T1*T2^5 - 430*T1^2*T2^5 + 2179*T1^3*T2^5 - 1245*T1^4*T2^5 - 
      1898*T1^5*T2^5 + 4204*T1^6*T2^5 - 2361*T1^7*T2^5 - 951*T1^8*T2^5 + 
      1892*T1^9*T2^5 - 176*T1^10*T2^5 - 32*T1^11*T2^5 - T2^6 + 8*T1*T2^6 + 
      364*T1^2*T2^6 - 1271*T1^3*T2^6 - 1563*T1^4*T2^6 + 4204*T1^5*T2^6 - 
      3408*T1^6*T2^6 - 1212*T1^7*T2^6 + 3673*T1^8*T2^6 - 1985*T1^9*T2^6 - 
      928*T1^10*T2^6 + 216*T1^11*T2^6 + 5*T1^12*T2^6 - 144*T1^2*T2^7 + 
      164*T1^3*T2^7 + 2669*T1^4*T2^7 - 2361*T1^5*T2^7 - 1212*T1^6*T2^7 + 
      4890*T1^7*T2^7 - 3477*T1^8*T2^7 - 461*T1^9*T2^7 + 2486*T1^10*T2^7 - 
      256*T1^11*T2^7 - 40*T1^12*T2^7 + 18*T1^2*T2^8 + 224*T1^3*T2^8 - 
      1434*T1^4*T2^8 - 951*T1^5*T2^8 + 3673*T1^6*T2^8 - 3477*T1^7*T2^8 - 
      623*T1^8*T2^8 + 3649*T1^9*T2^8 - 3082*T1^10*T2^8 + 16*T1^11*T2^8 + 
      90*T1^12*T2^8 - 46*T1^3*T2^9 - 64*T1^4*T2^9 + 1892*T1^5*T2^9 - 
      1985*T1^6*T2^9 - 461*T1^7*T2^9 + 3649*T1^8*T2^9 - 4073*T1^9*T2^9 + 
      1946*T1^10*T2^9 + 344*T1^11*T2^9 - 115*T1^12*T2^9 + 54*T1^4*T2^10 - 
      176*T1^5*T2^10 - 928*T1^6*T2^10 + 2486*T1^7*T2^10 - 3082*T1^8*T2^10 + 
      1946*T1^9*T2^10 - 316*T1^10*T2^10 - 464*T1^11*T2^10 + 90*T1^12*T2^10 - 
      32*T1^5*T2^11 + 216*T1^6*T2^11 - 256*T1^7*T2^11 + 16*T1^8*T2^11 + 
      344*T1^9*T2^11 - 464*T1^10*T2^11 + 288*T1^11*T2^11 - 40*T1^12*T2^11 + 
      5*T1^6*T2^12 - 40*T1^7*T2^12 + 90*T1^8*T2^12 - 115*T1^9*T2^12 + 
      90*T1^10*T2^12 - 40*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 396] -> 
  {(1 - 7*T + 16*T^2 - 19*T^3 + 16*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 32*T1^2 + 38*T1^3 - 32*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 174*T1^2*T2 - 152*T1^3*T2 + 93*T1^4*T2 + 13*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 32*T2^2 + 174*T1*T2^2 - 150*T1^2*T2^2 - 
     219*T1^3*T2^2 + 444*T1^4*T2^2 - 603*T1^5*T2^2 + 330*T1^6*T2^2 - 
     50*T1^7*T2^2 + 38*T2^3 - 152*T1*T2^3 - 219*T1^2*T2^3 + 1099*T1^3*T2^3 - 
     1329*T1^4*T2^3 + 1280*T1^5*T2^3 - 337*T1^6*T2^3 - 235*T1^7*T2^3 + 
     135*T1^8*T2^3 - 19*T1^9*T2^3 - 32*T2^4 + 93*T1*T2^4 + 444*T1^2*T2^4 - 
     1329*T1^3*T2^4 + 983*T1^4*T2^4 - 289*T1^5*T2^4 - 1249*T1^6*T2^4 + 
     1445*T1^7*T2^4 - 394*T1^8*T2^4 - 89*T1^9*T2^4 + 32*T1^10*T2^4 + 
     14*T2^5 + 13*T1*T2^5 - 603*T1^2*T2^5 + 1280*T1^3*T2^5 - 289*T1^4*T2^5 - 
     987*T1^5*T2^5 + 2205*T1^6*T2^5 - 1121*T1^7*T2^5 - 999*T1^8*T2^5 + 
     885*T1^9*T2^5 - 78*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     330*T1^2*T2^6 - 337*T1^3*T2^6 - 1249*T1^4*T2^6 + 2205*T1^5*T2^6 - 
     1380*T1^6*T2^6 - 1041*T1^7*T2^6 + 2803*T1^8*T2^6 - 899*T1^9*T2^6 - 
     434*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     50*T1^2*T2^7 - 235*T1^3*T2^7 + 1445*T1^4*T2^7 - 1121*T1^5*T2^7 - 
     1041*T1^6*T2^7 + 2151*T1^7*T2^7 - 1953*T1^8*T2^7 - 834*T1^9*T2^7 + 
     1253*T1^10*T2^7 - 141*T1^11*T2^7 - 28*T1^12*T2^7 + 135*T1^3*T2^8 - 
     394*T1^4*T2^8 - 999*T1^5*T2^8 + 2803*T1^6*T2^8 - 1953*T1^7*T2^8 + 
     571*T1^8*T2^8 + 1775*T1^9*T2^8 - 1232*T1^10*T2^8 - 47*T1^11*T2^8 + 
     64*T1^12*T2^8 - 19*T1^3*T2^9 - 89*T1^4*T2^9 + 885*T1^5*T2^9 - 
     899*T1^6*T2^9 - 834*T1^7*T2^9 + 1775*T1^8*T2^9 - 2335*T1^9*T2^9 + 
     869*T1^10*T2^9 + 198*T1^11*T2^9 - 76*T1^12*T2^9 + 32*T1^4*T2^10 - 
     78*T1^5*T2^10 - 434*T1^6*T2^10 + 1253*T1^7*T2^10 - 1232*T1^8*T2^10 + 
     869*T1^9*T2^10 + 46*T1^10*T2^10 - 302*T1^11*T2^10 + 64*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 141*T1^7*T2^11 - 47*T1^8*T2^11 + 
     198*T1^9*T2^11 - 302*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 64*T1^8*T2^12 - 76*T1^9*T2^12 + 
     64*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 397] -> 
  {-(((-1 + 2*T - 3*T^2 + T^3)*(-1 + 3*T - 2*T^2 + T^3))/T^3), 
   -((-3 + 15*T1 - 33*T1^2 + 45*T1^3 - 33*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 115*T1^2*T2 - 114*T1^3*T2 + 16*T1^4*T2 + 35*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 33*T2^2 + 115*T1*T2^2 - 125*T1^2*T2^2 - 
      6*T1^3*T2^2 + 263*T1^4*T2^2 - 226*T1^5*T2^2 + 95*T1^6*T2^2 + 
      5*T1^7*T2^2 - 11*T1^8*T2^2 + 45*T2^3 - 114*T1*T2^3 - 6*T1^2*T2^3 + 
      302*T1^3*T2^3 - 548*T1^4*T2^3 + 162*T1^5*T2^3 + 142*T1^6*T2^3 - 
      171*T1^7*T2^3 + 56*T1^8*T2^3 - 33*T2^4 + 16*T1*T2^4 + 263*T1^2*T2^4 - 
      548*T1^3*T2^4 + 362*T1^4*T2^4 + 462*T1^5*T2^4 - 698*T1^6*T2^4 + 
      292*T1^7*T2^4 - 3*T1^8*T2^4 - 54*T1^9*T2^4 + 11*T1^10*T2^4 + 15*T2^5 + 
      35*T1*T2^5 - 226*T1^2*T2^5 + 162*T1^3*T2^5 + 462*T1^4*T2^5 - 
      1053*T1^5*T2^5 + 747*T1^6*T2^5 + 187*T1^7*T2^5 - 288*T1^8*T2^5 + 
      159*T1^9*T2^5 - 5*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 
      95*T1^2*T2^6 + 142*T1^3*T2^6 - 698*T1^4*T2^6 + 747*T1^5*T2^6 - 
      216*T1^6*T2^6 - 703*T1^7*T2^6 + 288*T1^8*T2^6 - 58*T1^9*T2^6 - 
      97*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      5*T1^2*T2^7 - 171*T1^3*T2^7 + 292*T1^4*T2^7 + 187*T1^5*T2^7 - 
      703*T1^6*T2^7 + 1097*T1^7*T2^7 - 88*T1^8*T2^7 - 158*T1^9*T2^7 + 
      214*T1^10*T2^7 - 35*T1^11*T2^7 - 15*T1^12*T2^7 - 11*T1^2*T2^8 + 
      56*T1^3*T2^8 - 3*T1^4*T2^8 - 288*T1^5*T2^8 + 288*T1^6*T2^8 - 
      88*T1^7*T2^8 - 772*T1^8*T2^8 + 552*T1^9*T2^8 - 269*T1^10*T2^8 - 
      14*T1^11*T2^8 + 33*T1^12*T2^8 - 54*T1^4*T2^9 + 159*T1^5*T2^9 - 
      58*T1^6*T2^9 - 158*T1^7*T2^9 + 552*T1^8*T2^9 - 218*T1^9*T2^9 - 
      6*T1^10*T2^9 + 116*T1^11*T2^9 - 45*T1^12*T2^9 + 11*T1^4*T2^10 - 
      5*T1^5*T2^10 - 97*T1^6*T2^10 + 214*T1^7*T2^10 - 269*T1^8*T2^10 - 
      6*T1^9*T2^10 + 123*T1^10*T2^10 - 115*T1^11*T2^10 + 33*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 35*T1^7*T2^11 - 14*T1^8*T2^11 + 
      116*T1^9*T2^11 - 115*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 33*T1^8*T2^12 - 45*T1^9*T2^12 + 
      33*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 398] -> 
  {-((1 - 4*T + 4*T^2 - 3*T^3 + 4*T^4 - 4*T^5 + T^6)/T^3), 
   -((-1 + 4*T1 - 4*T1^2 + 3*T1^3 - 4*T1^4 + 4*T1^5 - T1^6 + 4*T2 - 
      16*T1*T2 + 16*T1^2*T2 - 12*T1^3*T2 + 16*T1^4*T2 - 16*T1^5*T2 + 
      4*T1^6*T2 - 4*T2^2 + 16*T1*T2^2 - 6*T1^2*T2^2 - 15*T1^3*T2^2 + 
      14*T1^4*T2^2 - 7*T1^5*T2^2 + 18*T1^6*T2^2 - 16*T1^7*T2^2 + 
      4*T1^8*T2^2 + 3*T2^3 - 12*T1*T2^3 - 15*T1^2*T2^3 + 55*T1^3*T2^3 - 
      33*T1^4*T2^3 + 7*T1^5*T2^3 - 37*T1^6*T2^3 + 29*T1^7*T2^3 + 
      8*T1^8*T2^3 - 6*T1^9*T2^3 - 4*T2^4 + 16*T1*T2^4 + 14*T1^2*T2^4 - 
      33*T1^3*T2^4 - 2*T1^4*T2^4 - 20*T1^5*T2^4 + 70*T1^6*T2^4 - 
      9*T1^7*T2^4 - 18*T1^8*T2^4 - 24*T1^9*T2^4 + 12*T1^10*T2^4 + 4*T2^5 - 
      16*T1*T2^5 - 7*T1^2*T2^5 + 7*T1^3*T2^5 - 20*T1^4*T2^5 + 108*T1^5*T2^5 - 
      92*T1^6*T2^5 - 4*T1^7*T2^5 - 65*T1^8*T2^5 + 93*T1^9*T2^5 + 
      16*T1^10*T2^5 - 16*T1^11*T2^5 - T2^6 + 4*T1*T2^6 + 18*T1^2*T2^6 - 
      37*T1^3*T2^6 + 70*T1^4*T2^6 - 92*T1^5*T2^6 - 48*T1^6*T2^6 + 
      108*T1^7*T2^6 - 2*T1^8*T2^6 + 73*T1^9*T2^6 - 182*T1^10*T2^6 + 
      44*T1^11*T2^6 + 5*T1^12*T2^6 - 16*T1^2*T2^7 + 29*T1^3*T2^7 - 
      9*T1^4*T2^7 - 4*T1^5*T2^7 + 108*T1^6*T2^7 - 92*T1^7*T2^7 + 
      12*T1^8*T2^7 - 81*T1^9*T2^7 + 129*T1^10*T2^7 + 16*T1^11*T2^7 - 
      20*T1^12*T2^7 + 4*T1^2*T2^8 + 8*T1^3*T2^8 - 18*T1^4*T2^8 - 
      65*T1^5*T2^8 - 2*T1^6*T2^8 + 12*T1^7*T2^8 + 70*T1^8*T2^8 - 
      41*T1^9*T2^8 - 50*T1^10*T2^8 - 32*T1^11*T2^8 + 20*T1^12*T2^8 - 
      6*T1^3*T2^9 - 24*T1^4*T2^9 + 93*T1^5*T2^9 + 73*T1^6*T2^9 - 
      81*T1^7*T2^9 - 41*T1^8*T2^9 - 19*T1^9*T2^9 + 137*T1^10*T2^9 - 
      4*T1^11*T2^9 - 15*T1^12*T2^9 + 12*T1^4*T2^10 + 16*T1^5*T2^10 - 
      182*T1^6*T2^10 + 129*T1^7*T2^10 - 50*T1^8*T2^10 + 137*T1^9*T2^10 - 
      158*T1^10*T2^10 - 16*T1^11*T2^10 + 20*T1^12*T2^10 - 16*T1^5*T2^11 + 
      44*T1^6*T2^11 + 16*T1^7*T2^11 - 32*T1^8*T2^11 - 4*T1^9*T2^11 - 
      16*T1^10*T2^11 + 64*T1^11*T2^11 - 20*T1^12*T2^11 + 5*T1^6*T2^12 - 
      20*T1^7*T2^12 + 20*T1^8*T2^12 - 15*T1^9*T2^12 + 20*T1^10*T2^12 - 
      20*T1^11*T2^12 + 5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 399] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      131*T1*T2 + 294*T1^2*T2 - 294*T1^3*T2 + 28*T1^4*T2 + 112*T1^5*T2 - 
      75*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 294*T1*T2^2 - 404*T1^2*T2^2 - 
      171*T1^3*T2^2 + 1116*T1^4*T2^2 - 931*T1^5*T2^2 + 280*T1^6*T2^2 + 
      28*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 294*T1*T2^3 - 171*T1^2*T2^3 + 
      1834*T1^3*T2^3 - 2955*T1^4*T2^3 + 1057*T1^5*T2^3 + 644*T1^6*T2^3 - 
      646*T1^7*T2^3 + 140*T1^8*T2^3 - 57*T2^4 + 28*T1*T2^4 + 1116*T1^2*T2^4 - 
      2955*T1^3*T2^4 + 2216*T1^4*T2^4 + 2332*T1^5*T2^4 - 3976*T1^6*T2^4 + 
      1797*T1^7*T2^4 - 86*T1^8*T2^4 - 126*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 112*T1*T2^5 - 931*T1^2*T2^5 + 1057*T1^3*T2^5 + 
      2332*T1^4*T2^5 - 7275*T1^5*T2^5 + 6229*T1^6*T2^5 - 499*T1^7*T2^5 - 
      1475*T1^8*T2^5 + 684*T1^9*T2^5 - 42*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 75*T1*T2^6 + 280*T1^2*T2^6 + 644*T1^3*T2^6 - 3976*T1^4*T2^6 + 
      6229*T1^5*T2^6 - 2232*T1^6*T2^6 - 4725*T1^7*T2^6 + 3842*T1^8*T2^6 - 
      848*T1^9*T2^6 - 256*T1^10*T2^6 + 79*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 28*T1^2*T2^7 - 646*T1^3*T2^7 + 1797*T1^4*T2^7 - 
      499*T1^5*T2^7 - 4725*T1^6*T2^7 + 8779*T1^7*T2^7 - 3330*T1^8*T2^7 - 
      735*T1^9*T2^7 + 969*T1^10*T2^7 - 126*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 140*T1^3*T2^8 - 86*T1^4*T2^8 - 1475*T1^5*T2^8 + 
      3842*T1^6*T2^8 - 3330*T1^7*T2^8 - 2350*T1^8*T2^8 + 3277*T1^9*T2^8 - 
      1288*T1^10*T2^8 - 14*T1^11*T2^8 + 57*T1^12*T2^8 - 126*T1^4*T2^9 + 
      684*T1^5*T2^9 - 848*T1^6*T2^9 - 735*T1^7*T2^9 + 3277*T1^8*T2^9 - 
      2038*T1^9*T2^9 + 209*T1^10*T2^9 + 308*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 42*T1^5*T2^10 - 256*T1^6*T2^10 + 969*T1^7*T2^10 - 
      1288*T1^8*T2^10 + 209*T1^9*T2^10 + 428*T1^10*T2^10 - 308*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 79*T1^6*T2^11 - 126*T1^7*T2^11 - 
      14*T1^8*T2^11 + 308*T1^9*T2^11 - 308*T1^10*T2^11 + 135*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 400] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-2 + 16*T1 - 46*T1^2 + 62*T1^3 - 46*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     118*T1*T2 + 299*T1^2*T2 - 311*T1^3*T2 + 121*T1^4*T2 + 51*T1^5*T2 - 
     46*T1^6*T2 + 8*T1^7*T2 - 46*T2^2 + 299*T1*T2^2 - 561*T1^2*T2^2 + 
     50*T1^3*T2^2 + 813*T1^4*T2^2 - 1008*T1^5*T2^2 + 451*T1^6*T2^2 - 
     69*T1^7*T2^2 + 62*T2^3 - 311*T1*T2^3 + 50*T1^2*T2^3 + 2009*T1^3*T2^3 - 
     3939*T1^4*T2^3 + 3114*T1^5*T2^3 - 719*T1^6*T2^3 - 433*T1^7*T2^3 + 
     249*T1^8*T2^3 - 31*T1^9*T2^3 - 46*T2^4 + 121*T1*T2^4 + 813*T1^2*T2^4 - 
     3939*T1^3*T2^4 + 5288*T1^4*T2^4 - 758*T1^5*T2^4 - 4096*T1^6*T2^4 + 
     4121*T1^7*T2^4 - 1039*T1^8*T2^4 - 119*T1^9*T2^4 + 46*T1^10*T2^4 + 
     16*T2^5 + 51*T1*T2^5 - 1008*T1^2*T2^5 + 3114*T1^3*T2^5 - 758*T1^4*T2^5 - 
     9107*T1^5*T2^5 + 12643*T1^6*T2^5 - 6117*T1^7*T2^5 - 1925*T1^8*T2^5 + 
     1775*T1^9*T2^5 - 181*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 46*T1*T2^6 + 
     451*T1^2*T2^6 - 719*T1^3*T2^6 - 4096*T1^4*T2^6 + 12643*T1^5*T2^6 - 
     6936*T1^6*T2^6 - 6107*T1^7*T2^6 + 11382*T1^8*T2^6 - 3481*T1^9*T2^6 - 
     401*T1^10*T2^6 + 162*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     69*T1^2*T2^7 - 433*T1^3*T2^7 + 4121*T1^4*T2^7 - 6117*T1^5*T2^7 - 
     6107*T1^6*T2^7 + 15643*T1^7*T2^7 - 11476*T1^8*T2^7 - 918*T1^9*T2^7 + 
     2350*T1^10*T2^7 - 301*T1^11*T2^7 - 32*T1^12*T2^7 + 249*T1^3*T2^8 - 
     1039*T1^4*T2^8 - 1925*T1^5*T2^8 + 11382*T1^6*T2^8 - 11476*T1^7*T2^8 + 
     1998*T1^8*T2^8 + 6135*T1^9*T2^8 - 2891*T1^10*T2^8 + 9*T1^11*T2^8 + 
     92*T1^12*T2^8 - 31*T1^3*T2^9 - 119*T1^4*T2^9 + 1775*T1^5*T2^9 - 
     3481*T1^6*T2^9 - 918*T1^7*T2^9 + 6135*T1^8*T2^9 - 6209*T1^9*T2^9 + 
     1292*T1^10*T2^9 + 441*T1^11*T2^9 - 124*T1^12*T2^9 + 46*T1^4*T2^10 - 
     181*T1^5*T2^10 - 401*T1^6*T2^10 + 2350*T1^7*T2^10 - 2891*T1^8*T2^10 + 
     1292*T1^9*T2^10 + 611*T1^10*T2^10 - 549*T1^11*T2^10 + 92*T1^12*T2^10 - 
     24*T1^5*T2^11 + 162*T1^6*T2^11 - 301*T1^7*T2^11 + 9*T1^8*T2^11 + 
     441*T1^9*T2^11 - 549*T1^10*T2^11 + 234*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 92*T1^8*T2^12 - 124*T1^9*T2^12 + 
     92*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 401] -> 
  {(1 - 7*T + 21*T^2 - 29*T^3 + 21*T^4 - 7*T^5 + T^6)/T^3, 
   (-4 + 28*T1 - 84*T1^2 + 116*T1^3 - 84*T1^4 + 28*T1^5 - 4*T1^6 + 28*T2 - 
     177*T1*T2 + 450*T1^2*T2 - 376*T1^3*T2 - 26*T1^4*T2 + 254*T1^5*T2 - 
     121*T1^6*T2 + 21*T1^7*T2 - 84*T2^2 + 450*T1*T2^2 - 811*T1^2*T2^2 - 
     370*T1^3*T2^2 + 1657*T1^4*T2^2 - 1294*T1^5*T2^2 + 29*T1^6*T2^2 + 
     156*T1^7*T2^2 - 42*T1^8*T2^2 + 116*T2^3 - 376*T1*T2^3 - 370*T1^2*T2^3 + 
     4070*T1^3*T2^3 - 4495*T1^4*T2^3 + 419*T1^5*T2^3 + 2564*T1^6*T2^3 - 
     1021*T1^7*T2^3 + 86*T1^8*T2^3 + 29*T1^9*T2^3 - 84*T2^4 - 26*T1*T2^4 + 
     1657*T1^2*T2^4 - 4495*T1^3*T2^4 - 1714*T1^4*T2^4 + 9960*T1^5*T2^4 - 
     8966*T1^6*T2^4 + 1189*T1^7*T2^4 + 579*T1^8*T2^4 - 208*T1^9*T2^4 + 
     28*T2^5 + 254*T1*T2^5 - 1294*T1^2*T2^5 + 419*T1^3*T2^5 + 
     9960*T1^4*T2^5 - 13947*T1^5*T2^5 + 4435*T1^6*T2^5 + 5403*T1^7*T2^5 - 
     2955*T1^8*T2^5 + 449*T1^9*T2^5 + 58*T1^10*T2^5 - 7*T1^11*T2^5 - 4*T2^6 - 
     121*T1*T2^6 + 29*T1^2*T2^6 + 2564*T1^3*T2^6 - 8966*T1^4*T2^6 + 
     4435*T1^5*T2^6 + 7596*T1^6*T2^6 - 11091*T1^7*T2^6 + 3116*T1^8*T2^6 + 
     332*T1^9*T2^6 - 335*T1^10*T2^6 + 33*T1^11*T2^6 + 2*T1^12*T2^6 + 
     21*T1*T2^7 + 156*T1^2*T2^7 - 1021*T1^3*T2^7 + 1189*T1^4*T2^7 + 
     5403*T1^5*T2^7 - 11091*T1^6*T2^7 + 7291*T1^7*T2^7 + 846*T1^8*T2^7 - 
     2185*T1^9*T2^7 + 722*T1^10*T2^7 - 40*T1^11*T2^7 - 14*T1^12*T2^7 - 
     42*T1^2*T2^8 + 86*T1^3*T2^8 + 579*T1^4*T2^8 - 2955*T1^5*T2^8 + 
     3116*T1^6*T2^8 + 846*T1^7*T2^8 - 4136*T1^8*T2^8 + 2729*T1^9*T2^8 - 
     499*T1^10*T2^8 - 96*T1^11*T2^8 + 42*T1^12*T2^8 + 29*T1^3*T2^9 - 
     208*T1^4*T2^9 + 449*T1^5*T2^9 + 332*T1^6*T2^9 - 2185*T1^7*T2^9 + 
     2729*T1^8*T2^9 - 1174*T1^9*T2^9 - 202*T1^10*T2^9 + 254*T1^11*T2^9 - 
     58*T1^12*T2^9 + 58*T1^5*T2^10 - 335*T1^6*T2^10 + 722*T1^7*T2^10 - 
     499*T1^8*T2^10 - 202*T1^9*T2^10 + 505*T1^10*T2^10 - 236*T1^11*T2^10 + 
     42*T1^12*T2^10 - 7*T1^5*T2^11 + 33*T1^6*T2^11 - 40*T1^7*T2^11 - 
     96*T1^8*T2^11 + 254*T1^9*T2^11 - 236*T1^10*T2^11 + 89*T1^11*T2^11 - 
     14*T1^12*T2^11 + 2*T1^6*T2^12 - 14*T1^7*T2^12 + 42*T1^8*T2^12 - 
     58*T1^9*T2^12 + 42*T1^10*T2^12 - 14*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 402] -> 
  {(1 + T - 3*T^2 + 3*T^3 - 3*T^4 + T^5 + T^6)/T^3, 
   (-1 + 3*T1 - 3*T1^2 + 3*T1^3 - T1^4 - T1^5 + T1^6 + 3*T2 - 5*T1*T2 - 
     9*T1^2*T2 + 19*T1^3*T2 - 21*T1^4*T2 + 19*T1^5*T2 - 3*T1^6*T2 - 
     6*T1^7*T2 - 3*T2^2 - 9*T1*T2^2 + 2*T1^2*T2^2 + 24*T1^3*T2^2 - 
     30*T1^4*T2^2 + 32*T1^5*T2^2 - 36*T1^6*T2^2 + 3*T1^7*T2^2 + 9*T1^8*T2^2 + 
     3*T2^3 + 19*T1*T2^3 + 24*T1^2*T2^3 - 46*T1^3*T2^3 + 6*T1^4*T2^3 + 
     14*T1^5*T2^3 - 36*T1^6*T2^3 + 61*T1^7*T2^3 - 3*T1^8*T2^3 - 
     12*T1^9*T2^3 - T2^4 - 21*T1*T2^4 - 30*T1^2*T2^4 + 6*T1^3*T2^4 + 
     19*T1^4*T2^4 + T1^5*T2^4 + 9*T1^6*T2^4 + 12*T1^7*T2^4 - 54*T1^8*T2^4 - 
     5*T1^9*T2^4 + 5*T1^10*T2^4 - T2^5 + 19*T1*T2^5 + 32*T1^2*T2^5 + 
     14*T1^3*T2^5 + T1^4*T2^5 - 36*T1^5*T2^5 + 27*T1^6*T2^5 - 64*T1^7*T2^5 + 
     56*T1^8*T2^5 + 23*T1^9*T2^5 + 9*T1^10*T2^5 + 6*T1^11*T2^5 + T2^6 - 
     3*T1*T2^6 - 36*T1^2*T2^6 - 36*T1^3*T2^6 + 9*T1^4*T2^6 + 27*T1^5*T2^6 + 
     9*T1^6*T2^6 + 12*T1^7*T2^6 + 6*T1^8*T2^6 - 69*T1^9*T2^6 - 7*T1^10*T2^6 + 
     6*T1^11*T2^6 - 6*T1*T2^7 + 3*T1^2*T2^7 + 61*T1^3*T2^7 + 12*T1^4*T2^7 - 
     64*T1^5*T2^7 + 12*T1^6*T2^7 - 4*T1^7*T2^7 - 48*T1^8*T2^7 + 
     103*T1^9*T2^7 - 3*T1^10*T2^7 - 18*T1^11*T2^7 + 9*T1^2*T2^8 - 
     3*T1^3*T2^8 - 54*T1^4*T2^8 + 56*T1^5*T2^8 + 6*T1^6*T2^8 - 48*T1^7*T2^8 + 
     86*T1^8*T2^8 - 81*T1^9*T2^8 + 3*T1^10*T2^8 + 18*T1^11*T2^8 - 
     12*T1^3*T2^9 - 5*T1^4*T2^9 + 23*T1^5*T2^9 - 69*T1^6*T2^9 + 
     103*T1^7*T2^9 - 81*T1^8*T2^9 + 47*T1^9*T2^9 - 11*T1^10*T2^9 - 
     18*T1^11*T2^9 + 5*T1^4*T2^10 + 9*T1^5*T2^10 - 7*T1^6*T2^10 - 
     3*T1^7*T2^10 + 3*T1^8*T2^10 - 11*T1^9*T2^10 + 9*T1^10*T2^10 + 
     6*T1^11*T2^10 + 6*T1^5*T2^11 + 6*T1^6*T2^11 - 18*T1^7*T2^11 + 
     18*T1^8*T2^11 - 18*T1^9*T2^11 + 6*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 403] -> 
  {-((1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6)/T^3), 
   -((-1 + 3*T1 - T1^2 - T1^3 - T1^4 + 3*T1^5 - T1^6 + 3*T2 - 9*T1*T2 + 
      3*T1^2*T2 + 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 3*T1^6*T2 - T2^2 + 
      3*T1*T2^2 + 2*T1^2*T2^2 - 12*T1^3*T2^2 + 10*T1^4*T2^2 - 4*T1^5*T2^2 + 
      2*T1^6*T2^2 - 3*T1^7*T2^2 + T1^8*T2^2 - T2^3 + 3*T1*T2^3 - 
      12*T1^2*T2^3 + 38*T1^3*T2^3 - 26*T1^4*T2^3 - 14*T1^5*T2^3 + 
      26*T1^6*T2^3 + 3*T1^7*T2^3 - 9*T1^8*T2^3 + 2*T1^9*T2^3 - T2^4 + 
      3*T1*T2^4 + 10*T1^2*T2^4 - 26*T1^3*T2^4 + 7*T1^4*T2^4 + 31*T1^5*T2^4 - 
      17*T1^6*T2^4 - 22*T1^7*T2^4 + 32*T1^8*T2^4 - 15*T1^9*T2^4 + 
      3*T1^10*T2^4 + 3*T2^5 - 9*T1*T2^5 - 4*T1^2*T2^5 - 14*T1^3*T2^5 + 
      31*T1^4*T2^5 - 33*T1^5*T2^5 - 9*T1^6*T2^5 + 20*T1^7*T2^5 - 
      42*T1^8*T2^5 + 9*T1^9*T2^5 + 27*T1^10*T2^5 - 12*T1^11*T2^5 - T2^6 + 
      3*T1*T2^6 + 2*T1^2*T2^6 + 26*T1^3*T2^6 - 17*T1^4*T2^6 - 9*T1^5*T2^6 + 
      36*T1^6*T2^6 - 19*T1^7*T2^6 + 25*T1^8*T2^6 + 62*T1^9*T2^6 - 
      98*T1^10*T2^6 + 21*T1^11*T2^6 + 5*T1^12*T2^6 - 3*T1^2*T2^7 + 
      3*T1^3*T2^7 - 22*T1^4*T2^7 + 20*T1^5*T2^7 - 19*T1^6*T2^7 + 
      5*T1^7*T2^7 + 9*T1^8*T2^7 - 50*T1^9*T2^7 + 16*T1^10*T2^7 + 
      33*T1^11*T2^7 - 15*T1^12*T2^7 + T1^2*T2^8 - 9*T1^3*T2^8 + 
      32*T1^4*T2^8 - 42*T1^5*T2^8 + 25*T1^6*T2^8 + 9*T1^7*T2^8 + T1^8*T2^8 - 
      38*T1^9*T2^8 + 54*T1^10*T2^8 - 27*T1^11*T2^8 + 5*T1^12*T2^8 + 
      2*T1^3*T2^9 - 15*T1^4*T2^9 + 9*T1^5*T2^9 + 62*T1^6*T2^9 - 
      50*T1^7*T2^9 - 38*T1^8*T2^9 + 50*T1^9*T2^9 + 24*T1^10*T2^9 - 
      27*T1^11*T2^9 + 5*T1^12*T2^9 + 3*T1^4*T2^10 + 27*T1^5*T2^10 - 
      98*T1^6*T2^10 + 16*T1^7*T2^10 + 54*T1^8*T2^10 + 24*T1^9*T2^10 - 
      98*T1^10*T2^10 + 21*T1^11*T2^10 + 5*T1^12*T2^10 - 12*T1^5*T2^11 + 
      21*T1^6*T2^11 + 33*T1^7*T2^11 - 27*T1^8*T2^11 - 27*T1^9*T2^11 + 
      21*T1^10*T2^11 + 33*T1^11*T2^11 - 15*T1^12*T2^11 + 5*T1^6*T2^12 - 
      15*T1^7*T2^12 + 5*T1^8*T2^12 + 5*T1^9*T2^12 + 5*T1^10*T2^12 - 
      15*T1^11*T2^12 + 5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 404] -> {(2 + T - 5*T^2 + T^3 + 2*T^4)/T^2, 
   (1 + T1 - 3*T1^2 + T1^3 + T1^4 + T2 - 10*T1*T2 + 16*T1^2*T2 + 4*T1^3*T2 - 
     12*T1^4*T2 + 5*T1^5*T2 - 3*T2^2 + 16*T1*T2^2 - 32*T1^2*T2^2 - 
     62*T1^3*T2^2 + 108*T1^4*T2^2 - 4*T1^5*T2^2 - 43*T1^6*T2^2 + T2^3 + 
     4*T1*T2^3 - 62*T1^2*T2^3 + 43*T1^3*T2^3 + 67*T1^4*T2^3 - 87*T1^5*T2^3 + 
     13*T1^7*T2^3 + T2^4 - 12*T1*T2^4 + 108*T1^2*T2^4 + 67*T1^3*T2^4 - 
     216*T1^4*T2^4 + 69*T1^5*T2^4 + 30*T1^6*T2^4 + 8*T1^7*T2^4 + 
     33*T1^8*T2^4 + 5*T1*T2^5 - 4*T1^2*T2^5 - 87*T1^3*T2^5 + 69*T1^4*T2^5 + 
     93*T1^5*T2^5 - 112*T1^6*T2^5 - 8*T1^7*T2^5 + 17*T1^8*T2^5 - 
     43*T1^2*T2^6 + 30*T1^4*T2^6 - 112*T1^5*T2^6 + 170*T1^6*T2^6 - 
     20*T1^7*T2^6 - 83*T1^8*T2^6 + 13*T1^3*T2^7 + 8*T1^4*T2^7 - 8*T1^5*T2^7 - 
     20*T1^6*T2^7 + 6*T1^7*T2^7 + 17*T1^8*T2^7 + 33*T1^4*T2^8 + 
     17*T1^5*T2^8 - 83*T1^6*T2^8 + 17*T1^7*T2^8 + 33*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 405] -> 
  {(1 - 6*T + 13*T^2 - 12*T^3 + 9*T^4 - 12*T^5 + 13*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 78*T1^2 + 72*T1^3 - 54*T1^4 + 72*T1^5 - 78*T1^6 + 36*T1^7 - 
     6*T1^8 + 36*T2 - 186*T1*T2 + 288*T1^2*T2 - 42*T1^3*T2 - 36*T1^4*T2 - 
     162*T1^5*T2 + 108*T1^6*T2 + 174*T1^7*T2 - 144*T1^8*T2 + 30*T1^9*T2 - 
     78*T2^2 + 288*T1*T2^2 + 14*T1^2*T2^2 - 1091*T1^3*T2^2 + 780*T1^4*T2^2 - 
     58*T1^5*T2^2 + 676*T1^6*T2^2 - 1247*T1^7*T2^2 + 326*T1^8*T2^2 + 
     132*T1^9*T2^2 - 52*T1^10*T2^2 + 72*T2^3 - 42*T1*T2^3 - 1091*T1^2*T2^3 + 
     2358*T1^3*T2^3 - 179*T1^4*T2^3 - 635*T1^5*T2^3 - 1373*T1^6*T2^3 + 
     1231*T1^7*T2^3 + 1344*T1^8*T2^3 - 1013*T1^9*T2^3 + 96*T1^10*T2^3 + 
     36*T1^11*T2^3 - 54*T2^4 - 36*T1*T2^4 + 780*T1^2*T2^4 - 179*T1^3*T2^4 - 
     3647*T1^4*T2^4 + 2762*T1^5*T2^4 - 25*T1^6*T2^4 + 1970*T1^7*T2^4 - 
     4223*T1^8*T2^4 + 1117*T1^9*T2^4 + 384*T1^10*T2^4 - 108*T1^11*T2^4 - 
     18*T1^12*T2^4 + 72*T2^5 - 162*T1*T2^5 - 58*T1^2*T2^5 - 635*T1^3*T2^5 + 
     2762*T1^4*T2^5 - 424*T1^5*T2^5 - 1048*T1^6*T2^5 - 1414*T1^7*T2^5 + 
     1826*T1^8*T2^5 + 1364*T1^9*T2^5 - 929*T1^10*T2^5 - 22*T1^11*T2^5 + 
     36*T1^12*T2^5 + 12*T1^13*T2^5 - 78*T2^6 + 108*T1*T2^6 + 676*T1^2*T2^6 - 
     1373*T1^3*T2^6 - 25*T1^4*T2^6 - 1048*T1^5*T2^6 + 1750*T1^6*T2^6 - 
     352*T1^7*T2^6 + 22*T1^8*T2^6 - 1084*T1^9*T2^6 + 29*T1^10*T2^6 + 
     31*T1^11*T2^6 + 196*T1^12*T2^6 - 72*T1^13*T2^6 + 36*T2^7 + 174*T1*T2^7 - 
     1247*T1^2*T2^7 + 1231*T1^3*T2^7 + 1970*T1^4*T2^7 - 1414*T1^5*T2^7 - 
     352*T1^6*T2^7 - 794*T1^7*T2^7 + 1522*T1^8*T2^7 - 148*T1^9*T2^7 - 
     388*T1^10*T2^7 + 944*T1^11*T2^7 - 635*T1^12*T2^7 + 79*T1^13*T2^7 + 
     36*T1^14*T2^7 - 6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 + 326*T1^2*T2^8 + 
     1344*T1^3*T2^8 - 4223*T1^4*T2^8 + 1826*T1^5*T2^8 + 22*T1^6*T2^8 + 
     1522*T1^7*T2^8 - 876*T1^8*T2^8 - 1142*T1^9*T2^8 + 1214*T1^10*T2^8 - 
     982*T1^11*T2^8 + 317*T1^12*T2^8 + 288*T1^13*T2^8 - 190*T1^14*T2^8 + 
     24*T1^15*T2^8 + 2*T1^16*T2^8 + 30*T1*T2^9 + 132*T1^2*T2^9 - 
     1013*T1^3*T2^9 + 1117*T1^4*T2^9 + 1364*T1^5*T2^9 - 1084*T1^6*T2^9 - 
     148*T1^7*T2^9 - 1142*T1^8*T2^9 + 1174*T1^9*T2^9 + 56*T1^10*T2^9 - 
     58*T1^11*T2^9 + 338*T1^12*T2^9 - 749*T1^13*T2^9 + 313*T1^14*T2^9 - 
     6*T1^15*T2^9 - 12*T1^16*T2^9 - 52*T1^2*T2^10 + 96*T1^3*T2^10 + 
     384*T1^4*T2^10 - 929*T1^5*T2^10 + 29*T1^6*T2^10 - 388*T1^7*T2^10 + 
     1214*T1^8*T2^10 + 56*T1^9*T2^10 - 514*T1^10*T2^10 - 424*T1^11*T2^10 + 
     83*T1^12*T2^10 + 475*T1^13*T2^10 - 96*T1^14*T2^10 - 84*T1^15*T2^10 + 
     26*T1^16*T2^10 + 36*T1^3*T2^11 - 108*T1^4*T2^11 - 22*T1^5*T2^11 + 
     31*T1^6*T2^11 + 944*T1^7*T2^11 - 982*T1^8*T2^11 - 58*T1^9*T2^11 - 
     424*T1^10*T2^11 + 1268*T1^11*T2^11 - 454*T1^12*T2^11 - 263*T1^13*T2^11 + 
     14*T1^14*T2^11 + 90*T1^15*T2^11 - 24*T1^16*T2^11 - 18*T1^4*T2^12 + 
     36*T1^5*T2^12 + 196*T1^6*T2^12 - 635*T1^7*T2^12 + 317*T1^8*T2^12 + 
     338*T1^9*T2^12 + 83*T1^10*T2^12 - 454*T1^11*T2^12 - 259*T1^12*T2^12 + 
     661*T1^13*T2^12 - 200*T1^14*T2^12 - 36*T1^15*T2^12 + 18*T1^16*T2^12 + 
     12*T1^5*T2^13 - 72*T1^6*T2^13 + 79*T1^7*T2^13 + 288*T1^8*T2^13 - 
     749*T1^9*T2^13 + 475*T1^10*T2^13 - 263*T1^11*T2^13 + 661*T1^12*T2^13 - 
     726*T1^13*T2^13 + 157*T1^14*T2^13 + 66*T1^15*T2^13 - 24*T1^16*T2^13 + 
     36*T1^7*T2^14 - 190*T1^8*T2^14 + 313*T1^9*T2^14 - 96*T1^10*T2^14 + 
     14*T1^11*T2^14 - 200*T1^12*T2^14 + 157*T1^13*T2^14 + 122*T1^14*T2^14 - 
     120*T1^15*T2^14 + 26*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 
     6*T1^9*T2^15 - 84*T1^10*T2^15 + 90*T1^11*T2^15 - 36*T1^12*T2^15 + 
     66*T1^13*T2^15 - 120*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 
     2*T1^8*T2^16 - 12*T1^9*T2^16 + 26*T1^10*T2^16 - 24*T1^11*T2^16 + 
     18*T1^12*T2^16 - 24*T1^13*T2^16 + 26*T1^14*T2^16 - 12*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 406] -> 
  {(5 - 13*T + 16*T^2 - 15*T^3 + 16*T^4 - 13*T^5 + 5*T^6)/T^3, 
   -((770 - 1980*T1 + 2415*T1^2 - 2248*T1^3 + 2415*T1^4 - 1980*T1^5 + 
      770*T1^6 - 1980*T2 + 3447*T1*T2 - 1973*T1^2*T2 + 614*T1^3*T2 - 
      1401*T1^4*T2 - 88*T1^5*T2 + 2277*T1^6*T2 - 1655*T1^7*T2 + 2415*T2^2 - 
      1973*T1*T2^2 - 1833*T1^2*T2^2 + 2385*T1^3*T2^2 - 127*T1^4*T2^2 + 
      2705*T1^5*T2^2 - 3593*T1^6*T2^2 + 107*T1^7*T2^2 + 1615*T1^8*T2^2 - 
      2248*T2^3 + 614*T1*T2^3 + 2385*T1^2*T2^3 - 587*T1^3*T2^3 - 
      1779*T1^4*T2^3 - 1702*T1^5*T2^3 + 945*T1^6*T2^3 + 2241*T1^7*T2^3 - 
      1271*T1^8*T2^3 - 1123*T1^9*T2^3 + 2415*T2^4 - 1401*T1*T2^4 - 
      127*T1^2*T2^4 - 1779*T1^3*T2^4 + 2809*T1^4*T2^4 + 817*T1^5*T2^4 + 
      69*T1^6*T2^4 - 1269*T1^7*T2^4 - 177*T1^8*T2^4 + 809*T1^9*T2^4 + 
      815*T1^10*T2^4 - 1980*T2^5 - 88*T1*T2^5 + 2705*T1^2*T2^5 - 
      1702*T1^3*T2^5 + 817*T1^4*T2^5 - 3319*T1^5*T2^5 + 1487*T1^6*T2^5 + 
      497*T1^7*T2^5 - 913*T1^8*T2^5 + 993*T1^9*T2^5 - 1193*T1^10*T2^5 - 
      355*T1^11*T2^5 + 770*T2^6 + 2277*T1*T2^6 - 3593*T1^2*T2^6 + 
      945*T1^3*T2^6 + 69*T1^4*T2^6 + 1487*T1^5*T2^6 + 1392*T1^6*T2^6 - 
      2975*T1^7*T2^6 + 2177*T1^8*T2^6 - 965*T1^9*T2^6 + 235*T1^10*T2^6 + 
      847*T1^11*T2^6 + 20*T1^12*T2^6 - 1655*T1*T2^7 + 107*T1^2*T2^7 + 
      2241*T1^3*T2^7 - 1269*T1^4*T2^7 + 497*T1^5*T2^7 - 2975*T1^6*T2^7 + 
      1831*T1^7*T2^7 + 177*T1^8*T2^7 - 480*T1^9*T2^7 + 529*T1^10*T2^7 - 
      998*T1^11*T2^7 - 30*T1^12*T2^7 + 1615*T1^2*T2^8 - 1271*T1^3*T2^8 - 
      177*T1^4*T2^8 - 913*T1^5*T2^8 + 2177*T1^6*T2^8 + 177*T1^7*T2^8 - 
      563*T1^8*T2^8 - 403*T1^9*T2^8 - 227*T1^10*T2^8 + 939*T1^11*T2^8 + 
      15*T1^12*T2^8 - 1123*T1^3*T2^9 + 809*T1^4*T2^9 + 993*T1^5*T2^9 - 
      965*T1^6*T2^9 - 480*T1^7*T2^9 - 403*T1^8*T2^9 + 567*T1^9*T2^9 + 
      849*T1^10*T2^9 - 1076*T1^11*T2^9 + 2*T1^12*T2^9 + 815*T1^4*T2^10 - 
      1193*T1^5*T2^10 + 235*T1^6*T2^10 + 529*T1^7*T2^10 - 227*T1^8*T2^10 + 
      849*T1^9*T2^10 - 1525*T1^10*T2^10 + 887*T1^11*T2^10 + 15*T1^12*T2^10 - 
      355*T1^5*T2^11 + 847*T1^6*T2^11 - 998*T1^7*T2^11 + 939*T1^8*T2^11 - 
      1076*T1^9*T2^11 + 887*T1^10*T2^11 - 323*T1^11*T2^11 - 30*T1^12*T2^11 + 
      20*T1^6*T2^12 - 30*T1^7*T2^12 + 15*T1^8*T2^12 + 2*T1^9*T2^12 + 
      15*T1^10*T2^12 - 30*T1^11*T2^12 + 20*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 407] -> 
  {-((1 - 5*T + 8*T^2 - 9*T^3 + 8*T^4 - 5*T^5 + T^6)/T^3), 
   -((-5 + 25*T1 - 40*T1^2 + 45*T1^3 - 40*T1^4 + 25*T1^5 - 5*T1^6 + 25*T2 - 
      107*T1*T2 + 102*T1^2*T2 - 67*T1^3*T2 + 18*T1^4*T2 + 37*T1^5*T2 - 
      77*T1^6*T2 + 20*T1^7*T2 - 40*T2^2 + 102*T1*T2^2 + 164*T1^2*T2^2 - 
      334*T1^3*T2^2 + 412*T1^4*T2^2 - 398*T1^5*T2^2 + 276*T1^6*T2^2 + 
      22*T1^7*T2^2 - 24*T1^8*T2^2 + 45*T2^3 - 67*T1*T2^3 - 334*T1^2*T2^3 + 
      319*T1^3*T2^3 - 231*T1^4*T2^3 + 98*T1^5*T2^3 + 69*T1^6*T2^3 - 
      310*T1^7*T2^3 + 28*T1^8*T2^3 + 18*T1^9*T2^3 - 40*T2^4 + 18*T1*T2^4 + 
      412*T1^2*T2^4 - 231*T1^3*T2^4 + 135*T1^4*T2^4 - 53*T1^5*T2^4 - 
      T1^6*T2^4 + 111*T1^7*T2^4 + 218*T1^8*T2^4 - 52*T1^9*T2^4 - 
      8*T1^10*T2^4 + 25*T2^5 + 37*T1*T2^5 - 398*T1^2*T2^5 + 98*T1^3*T2^5 - 
      53*T1^4*T2^5 + 79*T1^5*T2^5 - 107*T1^6*T2^5 + 11*T1^7*T2^5 - 
      205*T1^8*T2^5 - 70*T1^9*T2^5 + 42*T1^10*T2^5 - 5*T2^6 - 77*T1*T2^6 + 
      276*T1^2*T2^6 + 69*T1^3*T2^6 - T1^4*T2^6 - 107*T1^5*T2^6 + 
      84*T1^6*T2^6 + 51*T1^7*T2^6 + 43*T1^8*T2^6 + 175*T1^9*T2^6 - 
      48*T1^10*T2^6 - 7*T1^11*T2^6 + T1^12*T2^6 + 20*T1*T2^7 + 22*T1^2*T2^7 - 
      310*T1^3*T2^7 + 111*T1^4*T2^7 + 11*T1^5*T2^7 + 51*T1^6*T2^7 - 
      135*T1^7*T2^7 + 75*T1^8*T2^7 - 192*T1^9*T2^7 + 18*T1^10*T2^7 + 
      27*T1^11*T2^7 - 5*T1^12*T2^7 - 24*T1^2*T2^8 + 28*T1^3*T2^8 + 
      218*T1^4*T2^8 - 205*T1^5*T2^8 + 43*T1^6*T2^8 + 75*T1^7*T2^8 - 
      93*T1^8*T2^8 + 137*T1^9*T2^8 + 24*T1^10*T2^8 - 42*T1^11*T2^8 + 
      8*T1^12*T2^8 + 18*T1^3*T2^9 - 52*T1^4*T2^9 - 70*T1^5*T2^9 + 
      175*T1^6*T2^9 - 192*T1^7*T2^9 + 137*T1^8*T2^9 - 75*T1^9*T2^9 - 
      46*T1^10*T2^9 + 43*T1^11*T2^9 - 9*T1^12*T2^9 - 8*T1^4*T2^10 + 
      42*T1^5*T2^10 - 48*T1^6*T2^10 + 18*T1^7*T2^10 + 24*T1^8*T2^10 - 
      46*T1^9*T2^10 + 64*T1^10*T2^10 - 38*T1^11*T2^10 + 8*T1^12*T2^10 - 
      7*T1^6*T2^11 + 27*T1^7*T2^11 - 42*T1^8*T2^11 + 43*T1^9*T2^11 - 
      38*T1^10*T2^11 + 23*T1^11*T2^11 - 5*T1^12*T2^11 + T1^6*T2^12 - 
      5*T1^7*T2^12 + 8*T1^8*T2^12 - 9*T1^9*T2^12 + 8*T1^10*T2^12 - 
      5*T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 408] -> 
  {-((1 - 9*T + 24*T^2 - 33*T^3 + 24*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 72*T1^2 + 99*T1^3 - 72*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      223*T1*T2 + 484*T1^2*T2 - 457*T1^3*T2 + 56*T1^4*T2 + 187*T1^5*T2 - 
      133*T1^6*T2 + 18*T1^7*T2 - 72*T2^2 + 484*T1*T2^2 - 366*T1^2*T2^2 - 
      1098*T1^3*T2^2 + 2748*T1^4*T2^2 - 2250*T1^5*T2^2 + 738*T1^6*T2^2 + 
      52*T1^7*T2^2 - 24*T1^8*T2^2 + 99*T2^3 - 457*T1*T2^3 - 1098*T1^2*T2^3 + 
      4821*T1^3*T2^3 - 6447*T1^4*T2^3 + 2598*T1^5*T2^3 + 1059*T1^6*T2^3 - 
      1314*T1^7*T2^3 + 218*T1^8*T2^3 - 72*T2^4 + 56*T1*T2^4 + 
      2748*T1^2*T2^4 - 6447*T1^3*T2^4 + 3999*T1^4*T2^4 + 4773*T1^5*T2^4 - 
      8049*T1^6*T2^4 + 4047*T1^7*T2^4 - 294*T1^8*T2^4 - 214*T1^9*T2^4 + 
      24*T1^10*T2^4 + 27*T2^5 + 187*T1*T2^5 - 2250*T1^2*T2^5 + 
      2598*T1^3*T2^5 + 4773*T1^4*T2^5 - 13527*T1^5*T2^5 + 10683*T1^6*T2^5 - 
      411*T1^7*T2^5 - 3549*T1^8*T2^5 + 1710*T1^9*T2^5 - 56*T1^10*T2^5 - 
      18*T1^11*T2^5 - 3*T2^6 - 133*T1*T2^6 + 738*T1^2*T2^6 + 1059*T1^3*T2^6 - 
      8049*T1^4*T2^6 + 10683*T1^5*T2^6 - 1596*T1^6*T2^6 - 9567*T1^7*T2^6 + 
      7899*T1^8*T2^6 - 1731*T1^9*T2^6 - 882*T1^10*T2^6 + 137*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 52*T1^2*T2^7 - 1314*T1^3*T2^7 + 
      4047*T1^4*T2^7 - 411*T1^5*T2^7 - 9567*T1^6*T2^7 + 14643*T1^7*T2^7 - 
      5595*T1^8*T2^7 - 2100*T1^9*T2^7 + 2646*T1^10*T2^7 - 191*T1^11*T2^7 - 
      27*T1^12*T2^7 - 24*T1^2*T2^8 + 218*T1^3*T2^8 - 294*T1^4*T2^8 - 
      3549*T1^5*T2^8 + 7899*T1^6*T2^8 - 5595*T1^7*T2^8 - 4149*T1^8*T2^8 + 
      6945*T1^9*T2^8 - 3336*T1^10*T2^8 - 52*T1^11*T2^8 + 72*T1^12*T2^8 - 
      214*T1^4*T2^9 + 1710*T1^5*T2^9 - 1731*T1^6*T2^9 - 2100*T1^7*T2^9 + 
      6945*T1^8*T2^9 - 5493*T1^9*T2^9 + 1494*T1^10*T2^9 + 461*T1^11*T2^9 - 
      99*T1^12*T2^9 + 24*T1^4*T2^10 - 56*T1^5*T2^10 - 882*T1^6*T2^10 + 
      2646*T1^7*T2^10 - 3336*T1^8*T2^10 + 1494*T1^9*T2^10 + 222*T1^10*T2^10 - 
      488*T1^11*T2^10 + 72*T1^12*T2^10 - 18*T1^5*T2^11 + 137*T1^6*T2^11 - 
      191*T1^7*T2^11 - 52*T1^8*T2^11 + 461*T1^9*T2^11 - 488*T1^10*T2^11 + 
      227*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      72*T1^8*T2^12 - 99*T1^9*T2^12 + 72*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 409] -> 
  {(1 - 3*T + 9*T^2 - 13*T^3 + 9*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 18*T1^2 + 26*T1^3 - 18*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 45*T1^2*T2 - 51*T1^3*T2 + 15*T1^4*T2 + 9*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 18*T2^2 + 45*T1*T2^2 - 103*T1^2*T2^2 + 
     86*T1^3*T2^2 + 37*T1^4*T2^2 - 94*T1^5*T2^2 + 41*T1^6*T2^2 - 
     9*T1^7*T2^2 + 26*T2^3 - 51*T1*T2^3 + 86*T1^2*T2^3 - 44*T1^3*T2^3 - 
     103*T1^4*T2^3 + 23*T1^5*T2^3 + 178*T1^6*T2^3 - 157*T1^7*T2^3 + 
     39*T1^8*T2^3 - 13*T1^9*T2^3 - 18*T2^4 + 15*T1*T2^4 + 37*T1^2*T2^4 - 
     103*T1^3*T2^4 + 292*T1^4*T2^4 - 64*T1^5*T2^4 - 200*T1^6*T2^4 + 
     53*T1^7*T2^4 + 127*T1^8*T2^4 - 15*T1^9*T2^4 + 18*T1^10*T2^4 + 6*T2^5 + 
     9*T1*T2^5 - 94*T1^2*T2^5 + 23*T1^3*T2^5 - 64*T1^4*T2^5 - 639*T1^5*T2^5 + 
     1023*T1^6*T2^5 - 469*T1^7*T2^5 - 43*T1^8*T2^5 - 103*T1^9*T2^5 - 
     27*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 41*T1^2*T2^6 + 
     178*T1^3*T2^6 - 200*T1^4*T2^6 + 1023*T1^5*T2^6 - 864*T1^6*T2^6 - 
     327*T1^7*T2^6 + 682*T1^8*T2^6 - 62*T1^9*T2^6 + 149*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 157*T1^3*T2^7 + 
     53*T1^4*T2^7 - 469*T1^5*T2^7 - 327*T1^6*T2^7 + 1335*T1^7*T2^7 - 
     874*T1^8*T2^7 - 13*T1^9*T2^7 - 166*T1^10*T2^7 - 45*T1^11*T2^7 - 
     12*T1^12*T2^7 + 39*T1^3*T2^8 + 127*T1^4*T2^8 - 43*T1^5*T2^8 + 
     682*T1^6*T2^8 - 874*T1^7*T2^8 + 190*T1^8*T2^8 + 113*T1^9*T2^8 + 
     217*T1^10*T2^8 + 9*T1^11*T2^8 + 36*T1^12*T2^8 - 13*T1^3*T2^9 - 
     15*T1^4*T2^9 - 103*T1^5*T2^9 - 62*T1^6*T2^9 - 13*T1^7*T2^9 + 
     113*T1^8*T2^9 + 160*T1^9*T2^9 - 346*T1^10*T2^9 + 75*T1^11*T2^9 - 
     52*T1^12*T2^9 + 18*T1^4*T2^10 - 27*T1^5*T2^10 + 149*T1^6*T2^10 - 
     166*T1^7*T2^10 + 217*T1^8*T2^10 - 346*T1^9*T2^10 + 293*T1^10*T2^10 - 
     81*T1^11*T2^10 + 36*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     45*T1^7*T2^11 + 9*T1^8*T2^11 + 75*T1^9*T2^11 - 81*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     36*T1^8*T2^12 - 52*T1^9*T2^12 + 36*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 410] -> 
  {(2 - 10*T + 26*T^2 - 35*T^3 + 26*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 164*T1 - 426*T1^2 + 573*T1^3 - 426*T1^4 + 164*T1^5 - 33*T1^6 + 
     164*T2 - 692*T1*T2 + 1503*T1^2*T2 - 1251*T1^3*T2 - 31*T1^4*T2 + 
     783*T1^5*T2 - 452*T1^6*T2 + 124*T1^7*T2 - 426*T2^2 + 1503*T1*T2^2 - 
     2645*T1^2*T2^2 + 479*T1^3*T2^2 + 2469*T1^4*T2^2 - 2121*T1^5*T2^2 - 
     149*T1^6*T2^2 + 463*T1^7*T2^2 - 218*T1^8*T2^2 + 573*T2^3 - 
     1251*T1*T2^3 + 479*T1^2*T2^3 + 5608*T1^3*T2^3 - 7311*T1^4*T2^3 + 
     989*T1^5*T2^3 + 4018*T1^6*T2^3 - 1861*T1^7*T2^3 + 329*T1^8*T2^3 + 
     153*T1^9*T2^3 - 426*T2^4 - 31*T1*T2^4 + 2469*T1^2*T2^4 - 
     7311*T1^3*T2^4 - 501*T1^4*T2^4 + 13379*T1^5*T2^4 - 13009*T1^6*T2^4 + 
     2209*T1^7*T2^4 + 877*T1^8*T2^4 - 711*T1^9*T2^4 - 10*T1^10*T2^4 + 
     164*T2^5 + 783*T1*T2^5 - 2121*T1^2*T2^5 + 989*T1^3*T2^5 + 
     13379*T1^4*T2^5 - 20808*T1^5*T2^5 + 7822*T1^6*T2^5 + 6879*T1^7*T2^5 - 
     4871*T1^8*T2^5 + 1259*T1^9*T2^5 + 223*T1^10*T2^5 - 36*T1^11*T2^5 - 
     33*T2^6 - 452*T1*T2^6 - 149*T1^2*T2^6 + 4018*T1^3*T2^6 - 
     13009*T1^4*T2^6 + 7822*T1^5*T2^6 + 10140*T1^6*T2^6 - 16618*T1^7*T2^6 + 
     6063*T1^8*T2^6 + 58*T1^9*T2^6 - 821*T1^10*T2^6 + 108*T1^11*T2^6 + 
     15*T1^12*T2^6 + 124*T1*T2^7 + 463*T1^2*T2^7 - 1861*T1^3*T2^7 + 
     2209*T1^4*T2^7 + 6879*T1^5*T2^7 - 16618*T1^6*T2^7 + 12012*T1^7*T2^7 + 
     379*T1^8*T2^7 - 3651*T1^9*T2^7 + 1519*T1^10*T2^7 - 97*T1^11*T2^7 - 
     76*T1^12*T2^7 - 218*T1^2*T2^8 + 329*T1^3*T2^8 + 877*T1^4*T2^8 - 
     4871*T1^5*T2^8 + 6063*T1^6*T2^8 + 379*T1^7*T2^8 - 6445*T1^8*T2^8 + 
     4649*T1^9*T2^8 - 715*T1^10*T2^8 - 351*T1^11*T2^8 + 198*T1^12*T2^8 + 
     153*T1^3*T2^9 - 711*T1^4*T2^9 + 1259*T1^5*T2^9 + 58*T1^6*T2^9 - 
     3651*T1^7*T2^9 + 4649*T1^8*T2^9 - 1532*T1^9*T2^9 - 1081*T1^10*T2^9 + 
     869*T1^11*T2^9 - 267*T1^12*T2^9 - 10*T1^4*T2^10 + 223*T1^5*T2^10 - 
     821*T1^6*T2^10 + 1519*T1^7*T2^10 - 715*T1^8*T2^10 - 1081*T1^9*T2^10 + 
     1675*T1^10*T2^10 - 817*T1^11*T2^10 + 198*T1^12*T2^10 - 36*T1^5*T2^11 + 
     108*T1^6*T2^11 - 97*T1^7*T2^11 - 351*T1^8*T2^11 + 869*T1^9*T2^11 - 
     817*T1^10*T2^11 + 348*T1^11*T2^11 - 76*T1^12*T2^11 + 15*T1^6*T2^12 - 
     76*T1^7*T2^12 + 198*T1^8*T2^12 - 267*T1^9*T2^12 + 198*T1^10*T2^12 - 
     76*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 411] -> {(5 - 9*T + 5*T^2)/T, 
   -((5*T1 - 8*T1^2 + 5*T1^3 + 5*T2 - 22*T1*T2 + 11*T1^2*T2 + 11*T1^3*T2 - 
      22*T1^4*T2 + 5*T1^5*T2 - 8*T2^2 + 11*T1*T2^2 + 70*T1^2*T2^2 - 
      120*T1^3*T2^2 + 70*T1^4*T2^2 + 11*T1^5*T2^2 - 8*T1^6*T2^2 + 5*T2^3 + 
      11*T1*T2^3 - 120*T1^2*T2^3 + 309*T1^3*T2^3 - 321*T1^4*T2^3 + 
      105*T1^5*T2^3 + 11*T1^6*T2^3 + 5*T1^7*T2^3 - 22*T1*T2^4 + 
      70*T1^2*T2^4 - 321*T1^3*T2^4 + 264*T1^4*T2^4 + 129*T1^5*T2^4 - 
      180*T1^6*T2^4 - 22*T1^7*T2^4 + 5*T1*T2^5 + 11*T1^2*T2^5 + 
      105*T1^3*T2^5 + 129*T1^4*T2^5 - 501*T1^5*T2^5 + 330*T1^6*T2^5 + 
      11*T1^7*T2^5 + 5*T1^8*T2^5 - 8*T1^2*T2^6 + 11*T1^3*T2^6 - 
      180*T1^4*T2^6 + 330*T1^5*T2^6 - 180*T1^6*T2^6 + 11*T1^7*T2^6 - 
      8*T1^8*T2^6 + 5*T1^3*T2^7 - 22*T1^4*T2^7 + 11*T1^5*T2^7 + 
      11*T1^6*T2^7 - 22*T1^7*T2^7 + 5*T1^8*T2^7 + 5*T1^5*T2^8 - 8*T1^6*T2^8 + 
      5*T1^7*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 412] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-17 + 67*T1 - 143*T1^2 + 177*T1^3 - 143*T1^4 + 67*T1^5 - 17*T1^6 + 
     67*T2 - 232*T1*T2 + 431*T1^2*T2 - 409*T1^3*T2 + 199*T1^4*T2 + 
     31*T1^5*T2 - 72*T1^6*T2 + 35*T1^7*T2 - 143*T2^2 + 431*T1*T2^2 - 
     662*T1^2*T2^2 + 345*T1^3*T2^2 + 202*T1^4*T2^2 - 539*T1^5*T2^2 + 
     358*T1^6*T2^2 - 113*T1^7*T2^2 - 7*T1^8*T2^2 + 177*T2^3 - 409*T1*T2^3 + 
     345*T1^2*T2^3 + 466*T1^3*T2^3 - 1106*T1^4*T2^3 + 912*T1^5*T2^3 - 
     36*T1^6*T2^3 - 437*T1^7*T2^3 + 327*T1^8*T2^3 - 75*T1^9*T2^3 - 143*T2^4 + 
     199*T1*T2^4 + 202*T1^2*T2^4 - 1106*T1^3*T2^4 + 1178*T1^4*T2^4 + 
     12*T1^5*T2^4 - 1150*T1^6*T2^4 + 1078*T1^7*T2^4 - 174*T1^8*T2^4 - 
     217*T1^9*T2^4 + 129*T1^10*T2^4 + 67*T2^5 + 31*T1*T2^5 - 539*T1^2*T2^5 + 
     912*T1^3*T2^5 + 12*T1^4*T2^5 - 1945*T1^5*T2^5 + 2221*T1^6*T2^5 - 
     889*T1^7*T2^5 - 774*T1^8*T2^5 + 651*T1^9*T2^5 - 145*T1^10*T2^5 - 
     93*T1^11*T2^5 - 17*T2^6 - 72*T1*T2^6 + 358*T1^2*T2^6 - 36*T1^3*T2^6 - 
     1150*T1^4*T2^6 + 2221*T1^5*T2^6 - 432*T1^6*T2^6 - 1645*T1^7*T2^6 + 
     2552*T1^8*T2^6 - 812*T1^9*T2^6 - 126*T1^10*T2^6 + 248*T1^11*T2^6 + 
     31*T1^12*T2^6 + 35*T1*T2^7 - 113*T1^2*T2^7 - 437*T1^3*T2^7 + 
     1078*T1^4*T2^7 - 889*T1^5*T2^7 - 1645*T1^6*T2^7 + 2521*T1^7*T2^7 - 
     1790*T1^8*T2^7 - 608*T1^9*T2^7 + 753*T1^10*T2^7 - 289*T1^11*T2^7 - 
     125*T1^12*T2^7 - 7*T1^2*T2^8 + 327*T1^3*T2^8 - 174*T1^4*T2^8 - 
     774*T1^5*T2^8 + 2552*T1^6*T2^8 - 1790*T1^7*T2^8 + 224*T1^8*T2^8 + 
     1410*T1^9*T2^8 - 550*T1^10*T2^8 - 89*T1^11*T2^8 + 265*T1^12*T2^8 - 
     75*T1^3*T2^9 - 217*T1^4*T2^9 + 651*T1^5*T2^9 - 812*T1^6*T2^9 - 
     608*T1^7*T2^9 + 1410*T1^8*T2^9 - 1314*T1^9*T2^9 - 131*T1^10*T2^9 + 
     519*T1^11*T2^9 - 327*T1^12*T2^9 + 129*T1^4*T2^10 - 145*T1^5*T2^10 - 
     126*T1^6*T2^10 + 753*T1^7*T2^10 - 550*T1^8*T2^10 - 131*T1^9*T2^10 + 
     894*T1^10*T2^10 - 689*T1^11*T2^10 + 265*T1^12*T2^10 - 93*T1^5*T2^11 + 
     248*T1^6*T2^11 - 289*T1^7*T2^11 - 89*T1^8*T2^11 + 519*T1^9*T2^11 - 
     689*T1^10*T2^11 + 408*T1^11*T2^11 - 125*T1^12*T2^11 + 31*T1^6*T2^12 - 
     125*T1^7*T2^12 + 265*T1^8*T2^12 - 327*T1^9*T2^12 + 265*T1^10*T2^12 - 
     125*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 413] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-31 + 124*T1 - 262*T1^2 + 323*T1^3 - 262*T1^4 + 124*T1^5 - 31*T1^6 + 
     124*T2 - 404*T1*T2 + 680*T1^2*T2 - 516*T1^3*T2 + 92*T1^4*T2 + 
     280*T1^5*T2 - 244*T1^6*T2 + 92*T1^7*T2 - 262*T2^2 + 680*T1*T2^2 - 
     842*T1^2*T2^2 + 52*T1^3*T2^2 + 666*T1^4*T2^2 - 832*T1^5*T2^2 + 
     178*T1^6*T2^2 + 136*T1^7*T2^2 - 126*T1^8*T2^2 + 323*T2^3 - 516*T1*T2^3 + 
     52*T1^2*T2^3 + 1376*T1^3*T2^3 - 1486*T1^4*T2^3 + 532*T1^5*T2^3 + 
     874*T1^6*T2^3 - 730*T1^7*T2^3 + 220*T1^8*T2^3 + 71*T1^9*T2^3 - 
     262*T2^4 + 92*T1*T2^4 + 666*T1^2*T2^4 - 1486*T1^3*T2^4 - 34*T1^4*T2^4 + 
     1756*T1^5*T2^4 - 2362*T1^6*T2^4 + 698*T1^7*T2^4 + 290*T1^8*T2^4 - 
     324*T1^9*T2^4 + 10*T1^10*T2^4 + 124*T2^5 + 280*T1*T2^5 - 832*T1^2*T2^5 + 
     532*T1^3*T2^5 + 1756*T1^4*T2^5 - 2675*T1^5*T2^5 + 1491*T1^6*T2^5 + 
     855*T1^7*T2^5 - 1154*T1^8*T2^5 + 358*T1^9*T2^5 + 104*T1^10*T2^5 - 
     36*T1^11*T2^5 - 31*T2^6 - 244*T1*T2^6 + 178*T1^2*T2^6 + 874*T1^3*T2^6 - 
     2362*T1^4*T2^6 + 1491*T1^5*T2^6 + 948*T1^6*T2^6 - 2375*T1^7*T2^6 + 
     1340*T1^8*T2^6 + 98*T1^9*T2^6 - 306*T1^10*T2^6 + 76*T1^11*T2^6 + 
     17*T1^12*T2^6 + 92*T1*T2^7 + 136*T1^2*T2^7 - 730*T1^3*T2^7 + 
     698*T1^4*T2^7 + 855*T1^5*T2^7 - 2375*T1^6*T2^7 + 1791*T1^7*T2^7 - 
     46*T1^8*T2^7 - 988*T1^9*T2^7 + 460*T1^10*T2^7 - 40*T1^11*T2^7 - 
     68*T1^12*T2^7 - 126*T1^2*T2^8 + 220*T1^3*T2^8 + 290*T1^4*T2^8 - 
     1154*T1^5*T2^8 + 1340*T1^6*T2^8 - 46*T1^7*T2^8 - 988*T1^8*T2^8 + 
     1030*T1^9*T2^8 - 86*T1^10*T2^8 - 196*T1^11*T2^8 + 146*T1^12*T2^8 + 
     71*T1^3*T2^9 - 324*T1^4*T2^9 + 358*T1^5*T2^9 + 98*T1^6*T2^9 - 
     988*T1^7*T2^9 + 1030*T1^8*T2^9 - 404*T1^9*T2^9 - 424*T1^10*T2^9 + 
     412*T1^11*T2^9 - 181*T1^12*T2^9 + 10*T1^4*T2^10 + 104*T1^5*T2^10 - 
     306*T1^6*T2^10 + 460*T1^7*T2^10 - 86*T1^8*T2^10 - 424*T1^9*T2^10 + 
     714*T1^10*T2^10 - 440*T1^11*T2^10 + 146*T1^12*T2^10 - 36*T1^5*T2^11 + 
     76*T1^6*T2^11 - 40*T1^7*T2^11 - 196*T1^8*T2^11 + 412*T1^9*T2^11 - 
     440*T1^10*T2^11 + 236*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 
     68*T1^7*T2^12 + 146*T1^8*T2^12 - 181*T1^9*T2^12 + 146*T1^10*T2^12 - 
     68*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 414] -> {((2 - 2*T + T^2)*(1 - 2*T + 2*T^2))/T^2, 
   (-17 + 49*T1 - 73*T1^2 + 49*T1^3 - 17*T1^4 + 49*T2 - 122*T1*T2 + 
     142*T1^2*T2 - 38*T1^3*T2 - 26*T1^4*T2 + 25*T1^5*T2 - 73*T2^2 + 
     142*T1*T2^2 - 37*T1^2*T2^2 - 189*T1^3*T2^2 + 215*T1^4*T2^2 - 
     74*T1^5*T2^2 - T1^6*T2^2 + 49*T2^3 - 38*T1*T2^3 - 189*T1^2*T2^3 + 
     328*T1^3*T2^3 - 194*T1^4*T2^3 - 81*T1^5*T2^3 + 70*T1^6*T2^3 - 
     23*T1^7*T2^3 - 17*T2^4 - 26*T1*T2^4 + 215*T1^2*T2^4 - 194*T1^3*T2^4 + 
     36*T1^4*T2^4 + 214*T1^5*T2^4 - 73*T1^6*T2^4 + 22*T1^7*T2^4 + 
     15*T1^8*T2^4 + 25*T1*T2^5 - 74*T1^2*T2^5 - 81*T1^3*T2^5 + 
     214*T1^4*T2^5 - 308*T1^5*T2^5 + 27*T1^6*T2^5 + 34*T1^7*T2^5 - 
     47*T1^8*T2^5 - T1^2*T2^6 + 70*T1^3*T2^6 - 73*T1^4*T2^6 + 27*T1^5*T2^6 + 
     179*T1^6*T2^6 - 146*T1^7*T2^6 + 71*T1^8*T2^6 - 23*T1^3*T2^7 + 
     22*T1^4*T2^7 + 34*T1^5*T2^7 - 146*T1^6*T2^7 + 118*T1^7*T2^7 - 
     47*T1^8*T2^7 + 15*T1^4*T2^8 - 47*T1^5*T2^8 + 71*T1^6*T2^8 - 
     47*T1^7*T2^8 + 15*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 415] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-33 + 165*T1 - 396*T1^2 + 511*T1^3 - 396*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1356*T1^2*T2 - 1056*T1^3*T2 + 44*T1^4*T2 + 
     676*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 396*T2^2 + 1356*T1*T2^2 - 
     1831*T1^2*T2^2 - 356*T1^3*T2^2 + 2501*T1^4*T2^2 - 2372*T1^5*T2^2 + 
     281*T1^6*T2^2 + 396*T1^7*T2^2 - 204*T1^8*T2^2 + 511*T2^3 - 
     1056*T1*T2^3 - 356*T1^2*T2^3 + 5124*T1^3*T2^3 - 5575*T1^4*T2^3 + 
     1301*T1^5*T2^3 + 3102*T1^6*T2^3 - 1940*T1^7*T2^3 + 324*T1^8*T2^3 + 
     139*T1^9*T2^3 - 396*T2^4 + 44*T1*T2^4 + 2501*T1^2*T2^4 - 
     5575*T1^3*T2^4 - 488*T1^4*T2^4 + 8202*T1^5*T2^4 - 9284*T1^6*T2^4 + 
     2113*T1^7*T2^4 + 909*T1^8*T2^4 - 636*T1^9*T2^4 - 12*T1^10*T2^4 + 
     165*T2^5 + 676*T1*T2^5 - 2372*T1^2*T2^5 + 1301*T1^3*T2^5 + 
     8202*T1^4*T2^5 - 12052*T1^5*T2^5 + 5588*T1^6*T2^5 + 4266*T1^7*T2^5 - 
     3951*T1^8*T2^5 + 940*T1^9*T2^5 + 236*T1^10*T2^5 - 35*T1^11*T2^5 - 
     33*T2^6 - 460*T1*T2^6 + 281*T1^2*T2^6 + 3102*T1^3*T2^6 - 
     9284*T1^4*T2^6 + 5588*T1^5*T2^6 + 4680*T1^6*T2^6 - 10044*T1^7*T2^6 + 
     4236*T1^8*T2^6 + 438*T1^9*T2^6 - 839*T1^10*T2^6 + 100*T1^11*T2^6 + 
     15*T1^12*T2^6 + 125*T1*T2^7 + 396*T1^2*T2^7 - 1940*T1^3*T2^7 + 
     2113*T1^4*T2^7 + 4266*T1^5*T2^7 - 10044*T1^6*T2^7 + 7596*T1^7*T2^7 + 
     330*T1^8*T2^7 - 3139*T1^9*T2^7 + 1372*T1^10*T2^7 - 44*T1^11*T2^7 - 
     75*T1^12*T2^7 - 204*T1^2*T2^8 + 324*T1^3*T2^8 + 909*T1^4*T2^8 - 
     3951*T1^5*T2^8 + 4236*T1^6*T2^8 + 330*T1^7*T2^8 - 4560*T1^8*T2^8 + 
     3737*T1^9*T2^8 - 683*T1^10*T2^8 - 356*T1^11*T2^8 + 180*T1^12*T2^8 + 
     139*T1^3*T2^9 - 636*T1^4*T2^9 + 940*T1^5*T2^9 + 438*T1^6*T2^9 - 
     3139*T1^7*T2^9 + 3737*T1^8*T2^9 - 1584*T1^9*T2^9 - 644*T1^10*T2^9 + 
     744*T1^11*T2^9 - 233*T1^12*T2^9 - 12*T1^4*T2^10 + 236*T1^5*T2^10 - 
     839*T1^6*T2^10 + 1372*T1^7*T2^10 - 683*T1^8*T2^10 - 644*T1^9*T2^10 + 
     1273*T1^10*T2^10 - 724*T1^11*T2^10 + 180*T1^12*T2^10 - 35*T1^5*T2^11 + 
     100*T1^6*T2^11 - 44*T1^7*T2^11 - 356*T1^8*T2^11 + 744*T1^9*T2^11 - 
     724*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 15*T1^6*T2^12 - 
     75*T1^7*T2^12 + 180*T1^8*T2^12 - 233*T1^9*T2^12 + 180*T1^10*T2^12 - 
     75*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 416] -> 
  {(1 - 4*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 60*T1^2 + 90*T1^3 - 102*T1^4 + 90*T1^5 - 60*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 160*T1^2*T2 - 160*T1^3*T2 + 108*T1^4*T2 - 
     20*T1^5*T2 - 60*T1^6*T2 + 104*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     60*T2^2 + 160*T1*T2^2 - 318*T1^2*T2^2 + 250*T1^3*T2^2 - 196*T1^4*T2^2 + 
     110*T1^5*T2^2 - 56*T1^6*T2^2 + 30*T1^7*T2^2 - 138*T1^8*T2^2 + 
     80*T1^9*T2^2 - 40*T1^10*T2^2 + 90*T2^3 - 160*T1*T2^3 + 250*T1^2*T2^3 + 
     83*T1^3*T2^3 - 98*T1^4*T2^3 + 120*T1^5*T2^3 - 35*T1^6*T2^3 - 
     43*T1^7*T2^3 + 243*T1^8*T2^3 - 20*T1^10*T2^3 + 45*T1^11*T2^3 - 
     102*T2^4 + 108*T1*T2^4 - 196*T1^2*T2^4 - 98*T1^3*T2^4 - 458*T1^4*T2^4 + 
     726*T1^5*T2^4 - 924*T1^6*T2^4 + 818*T1^7*T2^4 - 690*T1^8*T2^4 - 
     38*T1^9*T2^4 + 4*T1^10*T2^4 - 44*T1^11*T2^4 - 34*T1^12*T2^4 + 90*T2^5 - 
     20*T1*T2^5 + 110*T1^2*T2^5 + 120*T1^3*T2^5 + 726*T1^4*T2^5 - 
     689*T1^5*T2^5 + 569*T1^6*T2^5 - 181*T1^7*T2^5 - 23*T1^8*T2^5 + 
     615*T1^9*T2^5 - 45*T1^10*T2^5 + 26*T1^11*T2^5 + 76*T1^12*T2^5 + 
     15*T1^13*T2^5 - 60*T2^6 - 60*T1*T2^6 - 56*T1^2*T2^6 - 35*T1^3*T2^6 - 
     924*T1^4*T2^6 + 569*T1^5*T2^6 - 372*T1^6*T2^6 + 96*T1^7*T2^6 - 
     92*T1^8*T2^6 - 231*T1^9*T2^6 - 444*T1^10*T2^6 + 105*T1^11*T2^6 - 
     76*T1^12*T2^6 - 60*T1^13*T2^6 + 24*T2^7 + 104*T1*T2^7 + 30*T1^2*T2^7 - 
     43*T1^3*T2^7 + 818*T1^4*T2^7 - 181*T1^5*T2^7 + 96*T1^6*T2^7 - 
     147*T1^7*T2^7 + 283*T1^8*T2^7 - 59*T1^9*T2^7 + 469*T1^10*T2^7 + 
     117*T1^11*T2^7 - 78*T1^12*T2^7 + 100*T1^13*T2^7 + 16*T1^14*T2^7 - 
     4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 - 138*T1^2*T2^8 + 243*T1^3*T2^8 - 
     690*T1^4*T2^8 - 23*T1^5*T2^8 - 92*T1^6*T2^8 + 283*T1^7*T2^8 - 
     180*T1^8*T2^8 - 135*T1^9*T2^8 - 2*T1^10*T2^8 - 461*T1^11*T2^8 + 
     206*T1^12*T2^8 - 67*T1^13*T2^8 - 42*T1^14*T2^8 + 8*T1^15*T2^8 + 
     2*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 38*T1^4*T2^9 + 
     615*T1^5*T2^9 - 231*T1^6*T2^9 - 59*T1^7*T2^9 - 135*T1^8*T2^9 + 
     295*T1^9*T2^9 - 214*T1^10*T2^9 + 419*T1^11*T2^9 - 86*T1^12*T2^9 - 
     73*T1^13*T2^9 + 70*T1^14*T2^9 - 8*T1^15*T2^9 - 8*T1^16*T2^9 - 
     40*T1^2*T2^10 - 20*T1^3*T2^10 + 4*T1^4*T2^10 - 45*T1^5*T2^10 - 
     444*T1^6*T2^10 + 469*T1^7*T2^10 - 2*T1^8*T2^10 - 214*T1^9*T2^10 + 
     278*T1^10*T2^10 - 331*T1^11*T2^10 + 36*T1^12*T2^10 + 95*T1^13*T2^10 - 
     16*T1^14*T2^10 - 20*T1^15*T2^10 + 20*T1^16*T2^10 + 45*T1^3*T2^11 - 
     44*T1^4*T2^11 + 26*T1^5*T2^11 + 105*T1^6*T2^11 + 117*T1^7*T2^11 - 
     461*T1^8*T2^11 + 419*T1^9*T2^11 - 331*T1^10*T2^11 + 205*T1^11*T2^11 + 
     6*T1^12*T2^11 - 60*T1^13*T2^11 - 58*T1^14*T2^11 + 52*T1^15*T2^11 - 
     30*T1^16*T2^11 - 34*T1^4*T2^12 + 76*T1^5*T2^12 - 76*T1^6*T2^12 - 
     78*T1^7*T2^12 + 206*T1^8*T2^12 - 86*T1^9*T2^12 + 36*T1^10*T2^12 + 
     6*T1^11*T2^12 - 26*T1^12*T2^12 - 18*T1^13*T2^12 + 124*T1^14*T2^12 - 
     76*T1^15*T2^12 + 34*T1^16*T2^12 + 15*T1^5*T2^13 - 60*T1^6*T2^13 + 
     100*T1^7*T2^13 - 67*T1^8*T2^13 - 73*T1^9*T2^13 + 95*T1^10*T2^13 - 
     60*T1^11*T2^13 - 18*T1^12*T2^13 + 93*T1^13*T2^13 - 150*T1^14*T2^13 + 
     80*T1^15*T2^13 - 30*T1^16*T2^13 + 16*T1^7*T2^14 - 42*T1^8*T2^14 + 
     70*T1^9*T2^14 - 16*T1^10*T2^14 - 58*T1^11*T2^14 + 124*T1^12*T2^14 - 
     150*T1^13*T2^14 + 138*T1^14*T2^14 - 64*T1^15*T2^14 + 20*T1^16*T2^14 - 
     4*T1^7*T2^15 + 8*T1^8*T2^15 - 8*T1^9*T2^15 - 20*T1^10*T2^15 + 
     52*T1^11*T2^15 - 76*T1^12*T2^15 + 80*T1^13*T2^15 - 64*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     20*T1^10*T2^16 - 30*T1^11*T2^16 + 34*T1^12*T2^16 - 30*T1^13*T2^16 + 
     20*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 417] -> 
  {(1 - 4*T^2 + 9*T^3 - 11*T^4 + 9*T^5 - 4*T^6 + T^8)/T^4, 
   (-8 + 32*T1^2 - 72*T1^3 + 88*T1^4 - 72*T1^5 + 32*T1^6 - 8*T1^8 + T1^2*T2 - 
     3*T1^3*T2 + 2*T1^4*T2 + 2*T1^5*T2 - 3*T1^6*T2 + T1^7*T2 + 32*T2^2 + 
     T1*T2^2 - 108*T1^2*T2^2 + 281*T1^3*T2^2 - 411*T1^4*T2^2 + 
     448*T1^5*T2^2 - 355*T1^6*T2^2 + 209*T1^7*T2^2 - 68*T1^8*T2^2 + 
     T1^9*T2^2 + 24*T1^10*T2^2 - 72*T2^3 - 3*T1*T2^3 + 281*T1^2*T2^3 - 
     631*T1^3*T2^3 + 693*T1^4*T2^3 - 416*T1^5*T2^3 - 65*T1^6*T2^3 + 
     396*T1^7*T2^3 - 415*T1^8*T2^3 + 173*T1^9*T2^3 - 3*T1^10*T2^3 - 
     45*T1^11*T2^3 + 88*T2^4 + 2*T1*T2^4 - 411*T1^2*T2^4 + 693*T1^3*T2^4 - 
     481*T1^4*T2^4 - 20*T1^5*T2^4 + 413*T1^6*T2^4 - 416*T1^7*T2^4 + 
     47*T1^8*T2^4 + 297*T1^9*T2^4 - 235*T1^10*T2^4 + 2*T1^11*T2^4 + 
     44*T1^12*T2^4 - 72*T2^5 + 2*T1*T2^5 + 448*T1^2*T2^5 - 416*T1^3*T2^5 - 
     20*T1^4*T2^5 + 443*T1^5*T2^5 - 418*T1^6*T2^5 + 122*T1^7*T2^5 + 
     335*T1^8*T2^5 - 371*T1^9*T2^5 + 25*T1^10*T2^5 + 232*T1^11*T2^5 + 
     2*T1^12*T2^5 - 27*T1^13*T2^5 + 32*T2^6 - 3*T1*T2^6 - 355*T1^2*T2^6 - 
     65*T1^3*T2^6 + 413*T1^4*T2^6 - 418*T1^5*T2^6 - 74*T1^6*T2^6 + 
     370*T1^7*T2^6 - 570*T1^8*T2^6 + 158*T1^9*T2^6 + 237*T1^10*T2^6 - 
     281*T1^11*T2^6 - 171*T1^12*T2^6 - 3*T1^13*T2^6 + 8*T1^14*T2^6 + 
     T1*T2^7 + 209*T1^2*T2^7 + 396*T1^3*T2^7 - 416*T1^4*T2^7 + 
     122*T1^5*T2^7 + 370*T1^6*T2^7 - 327*T1^7*T2^7 + 249*T1^8*T2^7 + 
     271*T1^9*T2^7 - 346*T1^10*T2^7 + 115*T1^11*T2^7 + 297*T1^12*T2^7 + 
     101*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 68*T1^2*T2^8 - 415*T1^3*T2^8 + 
     47*T1^4*T2^8 + 335*T1^5*T2^8 - 570*T1^6*T2^8 + 249*T1^7*T2^8 - 
     60*T1^8*T2^8 - 309*T1^9*T2^8 + 88*T1^10*T2^8 + 173*T1^11*T2^8 - 
     297*T1^12*T2^8 - 181*T1^13*T2^8 - 36*T1^14*T2^8 + T1^2*T2^9 + 
     173*T1^3*T2^9 + 297*T1^4*T2^9 - 371*T1^5*T2^9 + 158*T1^6*T2^9 + 
     271*T1^7*T2^9 - 309*T1^8*T2^9 + 267*T1^9*T2^9 + 172*T1^10*T2^9 - 
     310*T1^11*T2^9 + 160*T1^12*T2^9 + 198*T1^13*T2^9 + 65*T1^14*T2^9 + 
     T1^15*T2^9 + 24*T1^2*T2^10 - 3*T1^3*T2^10 - 235*T1^4*T2^10 + 
     25*T1^5*T2^10 + 237*T1^6*T2^10 - 346*T1^7*T2^10 + 88*T1^8*T2^10 + 
     172*T1^9*T2^10 - 408*T1^10*T2^10 + 230*T1^11*T2^10 + 61*T1^12*T2^10 - 
     191*T1^13*T2^10 - 51*T1^14*T2^10 - 3*T1^15*T2^10 - 45*T1^3*T2^11 + 
     2*T1^4*T2^11 + 232*T1^5*T2^11 - 281*T1^6*T2^11 + 115*T1^7*T2^11 + 
     173*T1^8*T2^11 - 310*T1^9*T2^11 + 230*T1^10*T2^11 + 65*T1^11*T2^11 - 
     236*T1^12*T2^11 + 160*T1^13*T2^11 + 16*T1^14*T2^11 + 2*T1^15*T2^11 + 
     44*T1^4*T2^12 + 2*T1^5*T2^12 - 171*T1^6*T2^12 + 297*T1^7*T2^12 - 
     297*T1^8*T2^12 + 160*T1^9*T2^12 + 61*T1^10*T2^12 - 236*T1^11*T2^12 + 
     231*T1^12*T2^12 - 99*T1^13*T2^12 + 5*T1^14*T2^12 + 2*T1^15*T2^12 - 
     27*T1^5*T2^13 - 3*T1^6*T2^13 + 101*T1^7*T2^13 - 181*T1^8*T2^13 + 
     198*T1^9*T2^13 - 191*T1^10*T2^13 + 160*T1^11*T2^13 - 99*T1^12*T2^13 + 
     35*T1^13*T2^13 - 7*T1^14*T2^13 - 3*T1^15*T2^13 + 8*T1^6*T2^14 + 
     T1^7*T2^14 - 36*T1^8*T2^14 + 65*T1^9*T2^14 - 51*T1^10*T2^14 + 
     16*T1^11*T2^14 + 5*T1^12*T2^14 - 7*T1^13*T2^14 + 4*T1^14*T2^14 + 
     T1^15*T2^14 + T1^9*T2^15 - 3*T1^10*T2^15 + 2*T1^11*T2^15 + 
     2*T1^12*T2^15 - 3*T1^13*T2^15 + T1^14*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 418] -> 
  {-((1 - 4*T + 4*T^2 - T^3 - T^4 - T^5 + 4*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 28*T1^2 + 7*T1^3 + 7*T1^4 + 7*T1^5 - 28*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 + 16*T1^2*T2 + 68*T1^3*T2 - 52*T1^4*T2 - 
      52*T1^5*T2 + 88*T1^6*T2 - 16*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      28*T2^2 + 16*T1*T2^2 + 248*T1^2*T2^2 - 268*T1^3*T2^2 + 35*T1^4*T2^2 + 
      152*T1^5*T2^2 - 5*T1^6*T2^2 - 244*T1^7*T2^2 + 272*T1^8*T2^2 - 
      16*T1^9*T2^2 - 20*T1^10*T2^2 + 7*T2^3 + 68*T1*T2^3 - 268*T1^2*T2^3 + 
      45*T1^3*T2^3 + 218*T1^4*T2^3 - 173*T1^5*T2^3 - 158*T1^6*T2^3 + 
      289*T1^7*T2^3 - 77*T1^8*T2^3 - 200*T1^9*T2^3 + 64*T1^10*T2^3 + 
      4*T1^11*T2^3 + 7*T2^4 - 52*T1*T2^4 + 35*T1^2*T2^4 + 218*T1^3*T2^4 - 
      243*T1^4*T2^4 + 8*T1^5*T2^4 + 179*T1^6*T2^4 - 44*T1^7*T2^4 - 
      211*T1^8*T2^4 + 246*T1^9*T2^4 - 13*T1^10*T2^4 - 28*T1^11*T2^4 + 
      3*T1^12*T2^4 + 7*T2^5 - 52*T1*T2^5 + 152*T1^2*T2^5 - 173*T1^3*T2^5 + 
      8*T1^4*T2^5 + 133*T1^5*T2^5 - 47*T1^6*T2^5 - 147*T1^7*T2^5 + 
      199*T1^8*T2^5 - 43*T1^9*T2^5 - 100*T1^10*T2^5 + 80*T1^11*T2^5 - 
      20*T1^12*T2^5 + 2*T1^13*T2^5 - 28*T2^6 + 88*T1*T2^6 - 5*T1^2*T2^6 - 
      158*T1^3*T2^6 + 179*T1^4*T2^6 - 47*T1^5*T2^6 - 104*T1^6*T2^6 + 
      76*T1^7*T2^6 + 56*T1^8*T2^6 - 127*T1^9*T2^6 + 115*T1^10*T2^6 - 
      86*T1^11*T2^6 + 19*T1^12*T2^6 + 8*T1^13*T2^6 - 4*T1^14*T2^6 + 28*T2^7 - 
      16*T1*T2^7 - 244*T1^2*T2^7 + 289*T1^3*T2^7 - 44*T1^4*T2^7 - 
      147*T1^5*T2^7 + 76*T1^6*T2^7 + 189*T1^7*T2^7 - 251*T1^8*T2^7 + 
      83*T1^9*T2^7 - 7*T1^10*T2^7 + 11*T1^11*T2^7 + 46*T1^12*T2^7 - 
      48*T1^13*T2^7 + 16*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 272*T1^2*T2^8 - 
      77*T1^3*T2^8 - 211*T1^4*T2^8 + 199*T1^5*T2^8 + 56*T1^6*T2^8 - 
      251*T1^7*T2^8 + 48*T1^8*T2^8 + 187*T1^9*T2^8 - 130*T1^10*T2^8 + 
      37*T1^11*T2^8 - 67*T1^12*T2^8 + 45*T1^13*T2^8 - 16*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 - 16*T1^2*T2^9 - 200*T1^3*T2^9 + 
      246*T1^4*T2^9 - 43*T1^5*T2^9 - 127*T1^6*T2^9 + 83*T1^7*T2^9 + 
      187*T1^8*T2^9 - 253*T1^9*T2^9 + 90*T1^10*T2^9 + 13*T1^11*T2^9 + 
      12*T1^12*T2^9 + 3*T1^13*T2^9 - 4*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 20*T1^2*T2^10 + 64*T1^3*T2^10 - 13*T1^4*T2^10 - 
      100*T1^5*T2^10 + 115*T1^6*T2^10 - 7*T1^7*T2^10 - 130*T1^8*T2^10 + 
      90*T1^9*T2^10 + 30*T1^10*T2^10 - 87*T1^11*T2^10 + 51*T1^12*T2^10 - 
      28*T1^13*T2^10 + 11*T1^14*T2^10 - 16*T1^15*T2^10 + 4*T1^16*T2^10 + 
      4*T1^3*T2^11 - 28*T1^4*T2^11 + 80*T1^5*T2^11 - 86*T1^6*T2^11 + 
      11*T1^7*T2^11 + 37*T1^8*T2^11 + 13*T1^9*T2^11 - 87*T1^10*T2^11 + 
      103*T1^11*T2^11 - 40*T1^12*T2^11 - 13*T1^13*T2^11 + 8*T1^14*T2^11 + 
      4*T1^15*T2^11 - T1^16*T2^11 + 3*T1^4*T2^12 - 20*T1^5*T2^12 + 
      19*T1^6*T2^12 + 46*T1^7*T2^12 - 67*T1^8*T2^12 + 12*T1^9*T2^12 + 
      51*T1^10*T2^12 - 40*T1^11*T2^12 - 35*T1^12*T2^12 + 74*T1^13*T2^12 - 
      29*T1^14*T2^12 + 4*T1^15*T2^12 - T1^16*T2^12 + 2*T1^5*T2^13 + 
      8*T1^6*T2^13 - 48*T1^7*T2^13 + 45*T1^8*T2^13 + 3*T1^9*T2^13 - 
      28*T1^10*T2^13 - 13*T1^11*T2^13 + 74*T1^12*T2^13 - 77*T1^13*T2^13 + 
      20*T1^14*T2^13 + 4*T1^15*T2^13 - T1^16*T2^13 - 4*T1^6*T2^14 + 
      16*T1^7*T2^14 - 16*T1^8*T2^14 - 4*T1^9*T2^14 + 11*T1^10*T2^14 + 
      8*T1^11*T2^14 - 29*T1^12*T2^14 + 20*T1^13*T2^14 + 8*T1^14*T2^14 - 
      16*T1^15*T2^14 + 4*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      16*T1^10*T2^15 + 4*T1^11*T2^15 + 4*T1^12*T2^15 + 4*T1^13*T2^15 - 
      16*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 4*T1^10*T2^16 - T1^11*T2^16 - T1^12*T2^16 - 
      T1^13*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 419] -> 
  {-(((1 - T + T^2)*(1 - 3*T - T^2 + 5*T^3 - T^4 - 3*T^5 + T^6))/T^4), 
   -((-7 + 28*T1 - 21*T1^2 - 21*T1^3 + 49*T1^4 - 21*T1^5 - 21*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 - 12*T1^2*T2 + 156*T1^3*T2 - 
      124*T1^4*T2 - 84*T1^5*T2 + 156*T1^6*T2 - 40*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 21*T2^2 - 12*T1*T2^2 + 301*T1^2*T2^2 - 283*T1^3*T2^2 - 
      186*T1^4*T2^2 + 557*T1^5*T2^2 - 246*T1^6*T2^2 - 241*T1^7*T2^2 + 
      313*T1^8*T2^2 - 36*T1^9*T2^2 - 15*T1^10*T2^2 - 21*T2^3 + 156*T1*T2^3 - 
      283*T1^2*T2^3 - 105*T1^3*T2^3 + 569*T1^4*T2^3 - 405*T1^5*T2^3 - 
      285*T1^6*T2^3 + 542*T1^7*T2^3 - 171*T1^8*T2^3 - 196*T1^9*T2^3 + 
      108*T1^10*T2^3 - 12*T1^11*T2^3 + 49*T2^4 - 124*T1*T2^4 - 
      186*T1^2*T2^4 + 569*T1^3*T2^4 - 371*T1^4*T2^4 - 412*T1^5*T2^4 + 
      799*T1^6*T2^4 - 368*T1^7*T2^4 - 315*T1^8*T2^4 + 437*T1^9*T2^4 - 
      174*T1^10*T2^4 - 36*T1^11*T2^4 + 21*T1^12*T2^4 - 21*T2^5 - 84*T1*T2^5 + 
      557*T1^2*T2^5 - 405*T1^3*T2^5 - 412*T1^4*T2^5 + 1010*T1^5*T2^5 - 
      465*T1^6*T2^5 - 450*T1^7*T2^5 + 788*T1^8*T2^5 - 286*T1^9*T2^5 - 
      153*T1^10*T2^5 + 275*T1^11*T2^5 - 60*T1^12*T2^5 - 6*T1^13*T2^5 - 
      21*T2^6 + 156*T1*T2^6 - 246*T1^2*T2^6 - 285*T1^3*T2^6 + 799*T1^4*T2^6 - 
      465*T1^5*T2^6 - 524*T1^6*T2^6 + 914*T1^7*T2^6 - 404*T1^8*T2^6 - 
      321*T1^9*T2^6 + 445*T1^10*T2^6 - 207*T1^11*T2^6 - 42*T1^12*T2^6 + 
      36*T1^13*T2^6 - 3*T1^14*T2^6 + 28*T2^7 - 40*T1*T2^7 - 241*T1^2*T2^7 + 
      542*T1^3*T2^7 - 368*T1^4*T2^7 - 450*T1^5*T2^7 + 914*T1^6*T2^7 - 
      390*T1^7*T2^7 - 460*T1^8*T2^7 + 629*T1^9*T2^7 - 207*T1^10*T2^7 - 
      166*T1^11*T2^7 + 149*T1^12*T2^7 - 58*T1^13*T2^7 + 12*T1^14*T2^7 - 
      7*T2^8 - 68*T1*T2^8 + 313*T1^2*T2^8 - 171*T1^3*T2^8 - 315*T1^4*T2^8 + 
      788*T1^5*T2^8 - 404*T1^6*T2^8 - 460*T1^7*T2^8 + 756*T1^8*T2^8 - 
      228*T1^9*T2^8 - 254*T1^10*T2^8 + 284*T1^11*T2^8 - 47*T1^12*T2^8 + 
      15*T1^13*T2^8 - 11*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 
      24*T1*T2^9 - 36*T1^2*T2^9 - 196*T1^3*T2^9 + 437*T1^4*T2^9 - 
      286*T1^5*T2^9 - 321*T1^6*T2^9 + 629*T1^7*T2^9 - 228*T1^8*T2^9 - 
      298*T1^9*T2^9 + 344*T1^10*T2^9 - 78*T1^11*T2^9 - 84*T1^12*T2^9 + 
      44*T1^13*T2^9 - 13*T1^14*T2^9 + 16*T1^15*T2^9 - 4*T1^16*T2^9 - 
      15*T1^2*T2^10 + 108*T1^3*T2^10 - 174*T1^4*T2^10 - 153*T1^5*T2^10 + 
      445*T1^6*T2^10 - 207*T1^7*T2^10 - 254*T1^8*T2^10 + 344*T1^9*T2^10 - 
      134*T1^10*T2^10 - 63*T1^11*T2^10 + 91*T1^12*T2^10 - 75*T1^13*T2^10 + 
      30*T1^14*T2^10 - 12*T1^15*T2^10 + 3*T1^16*T2^10 - 12*T1^3*T2^11 - 
      36*T1^4*T2^11 + 275*T1^5*T2^11 - 207*T1^6*T2^11 - 166*T1^7*T2^11 + 
      284*T1^8*T2^11 - 78*T1^9*T2^11 - 63*T1^10*T2^11 + 62*T1^11*T2^11 - 
      40*T1^12*T2^11 + 45*T1^13*T2^11 - 7*T1^14*T2^11 - 12*T1^15*T2^11 + 
      3*T1^16*T2^11 + 21*T1^4*T2^12 - 60*T1^5*T2^12 - 42*T1^6*T2^12 + 
      149*T1^7*T2^12 - 47*T1^8*T2^12 - 84*T1^9*T2^12 + 91*T1^10*T2^12 - 
      40*T1^11*T2^12 + 9*T1^12*T2^12 + 17*T1^13*T2^12 - 30*T1^14*T2^12 + 
      28*T1^15*T2^12 - 7*T1^16*T2^12 - 6*T1^5*T2^13 + 36*T1^6*T2^13 - 
      58*T1^7*T2^13 + 15*T1^8*T2^13 + 44*T1^9*T2^13 - 75*T1^10*T2^13 + 
      45*T1^11*T2^13 + 17*T1^12*T2^13 - 51*T1^13*T2^13 + 29*T1^14*T2^13 - 
      12*T1^15*T2^13 + 3*T1^16*T2^13 - 3*T1^6*T2^14 + 12*T1^7*T2^14 - 
      11*T1^8*T2^14 - 13*T1^9*T2^14 + 30*T1^10*T2^14 - 7*T1^11*T2^14 - 
      30*T1^12*T2^14 + 29*T1^13*T2^14 + T1^14*T2^14 - 12*T1^15*T2^14 + 
      3*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 12*T1^10*T2^15 - 
      12*T1^11*T2^15 + 28*T1^12*T2^15 - 12*T1^13*T2^15 - 12*T1^14*T2^15 + 
      16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      3*T1^10*T2^16 + 3*T1^11*T2^16 - 7*T1^12*T2^16 + 3*T1^13*T2^16 + 
      3*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 420] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      135*T1*T2 + 307*T1^2*T2 - 307*T1^3*T2 + 15*T1^4*T2 + 125*T1^5*T2 - 
      79*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 307*T1*T2^2 - 414*T1^2*T2^2 - 
      246*T1^3*T2^2 + 1338*T1^4*T2^2 - 1006*T1^5*T2^2 + 270*T1^6*T2^2 + 
      41*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 307*T1*T2^3 - 246*T1^2*T2^3 + 
      2134*T1^3*T2^3 - 3346*T1^4*T2^3 + 666*T1^5*T2^3 + 944*T1^6*T2^3 - 
      721*T1^7*T2^3 + 127*T1^8*T2^3 - 57*T2^4 + 15*T1*T2^4 + 1338*T1^2*T2^4 - 
      3346*T1^3*T2^4 + 2178*T1^4*T2^4 + 3764*T1^5*T2^4 - 4014*T1^6*T2^4 + 
      1406*T1^7*T2^4 + 136*T1^8*T2^4 - 139*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 125*T1*T2^5 - 1006*T1^2*T2^5 + 666*T1^3*T2^5 + 
      3764*T1^4*T2^5 - 9151*T1^5*T2^5 + 4353*T1^6*T2^5 + 933*T1^7*T2^5 - 
      1866*T1^8*T2^5 + 609*T1^9*T2^5 - 29*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 79*T1*T2^6 + 270*T1^2*T2^6 + 944*T1^3*T2^6 - 4014*T1^4*T2^6 + 
      4353*T1^5*T2^6 + 3204*T1^6*T2^6 - 6601*T1^7*T2^6 + 3804*T1^8*T2^6 - 
      548*T1^9*T2^6 - 266*T1^10*T2^6 + 75*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 41*T1^2*T2^7 - 721*T1^3*T2^7 + 1406*T1^4*T2^7 + 
      933*T1^5*T2^7 - 6601*T1^6*T2^7 + 6903*T1^7*T2^7 - 1898*T1^8*T2^7 - 
      1126*T1^9*T2^7 + 894*T1^10*T2^7 - 113*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 127*T1^3*T2^8 + 136*T1^4*T2^8 - 1866*T1^5*T2^8 + 
      3804*T1^6*T2^8 - 1898*T1^7*T2^8 - 2388*T1^8*T2^8 + 2886*T1^9*T2^8 - 
      1066*T1^10*T2^8 - 27*T1^11*T2^8 + 57*T1^12*T2^8 - 139*T1^4*T2^9 + 
      609*T1^5*T2^9 - 548*T1^6*T2^9 - 1126*T1^7*T2^9 + 2886*T1^8*T2^9 - 
      1738*T1^9*T2^9 + 134*T1^10*T2^9 + 295*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 29*T1^5*T2^10 - 266*T1^6*T2^10 + 894*T1^7*T2^10 - 
      1066*T1^8*T2^10 + 134*T1^9*T2^10 + 418*T1^10*T2^10 - 295*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 75*T1^6*T2^11 - 113*T1^7*T2^11 - 
      27*T1^8*T2^11 + 295*T1^9*T2^11 - 295*T1^10*T2^11 + 131*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 421] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-23 + 126*T1 - 310*T1^2 + 425*T1^3 - 310*T1^4 + 126*T1^5 - 23*T1^6 + 
      126*T2 - 608*T1*T2 + 1249*T1^2*T2 - 1223*T1^3*T2 + 185*T1^4*T2 + 
      413*T1^5*T2 - 322*T1^6*T2 + 82*T1^7*T2 - 310*T2^2 + 1249*T1*T2^2 - 
      1817*T1^2*T2^2 + 194*T1^3*T2^2 + 2843*T1^4*T2^2 - 2614*T1^5*T2^2 + 
      883*T1^6*T2^2 + 61*T1^7*T2^2 - 94*T1^8*T2^2 + 425*T2^3 - 1223*T1*T2^3 + 
      194*T1^2*T2^3 + 4239*T1^3*T2^3 - 7700*T1^4*T2^3 + 2872*T1^5*T2^3 + 
      1611*T1^6*T2^3 - 1939*T1^7*T2^3 + 625*T1^8*T2^3 - 19*T1^9*T2^3 - 
      310*T2^4 + 185*T1*T2^4 + 2843*T1^2*T2^4 - 7700*T1^3*T2^4 + 
      6281*T1^4*T2^4 + 5475*T1^5*T2^4 - 9483*T1^6*T2^4 + 4658*T1^7*T2^4 - 
      279*T1^8*T2^4 - 563*T1^9*T2^4 + 122*T1^10*T2^4 + 126*T2^5 + 
      413*T1*T2^5 - 2614*T1^2*T2^5 + 2872*T1^3*T2^5 + 5475*T1^4*T2^5 - 
      17790*T1^5*T2^5 + 13718*T1^6*T2^5 - 708*T1^7*T2^5 - 4128*T1^8*T2^5 + 
      2219*T1^9*T2^5 - 159*T1^10*T2^5 - 94*T1^11*T2^5 - 23*T2^6 - 
      322*T1*T2^6 + 883*T1^2*T2^6 + 1611*T1^3*T2^6 - 9483*T1^4*T2^6 + 
      13718*T1^5*T2^6 - 1764*T1^6*T2^6 - 12354*T1^7*T2^6 + 9707*T1^8*T2^6 - 
      2247*T1^9*T2^6 - 877*T1^10*T2^6 + 382*T1^11*T2^6 + 25*T1^12*T2^6 + 
      82*T1*T2^7 + 61*T1^2*T2^7 - 1939*T1^3*T2^7 + 4658*T1^4*T2^7 - 
      708*T1^5*T2^7 - 12354*T1^6*T2^7 + 19154*T1^7*T2^7 - 6891*T1^8*T2^7 - 
      2342*T1^9*T2^7 + 2894*T1^10*T2^7 - 511*T1^11*T2^7 - 138*T1^12*T2^7 - 
      94*T1^2*T2^8 + 625*T1^3*T2^8 - 279*T1^4*T2^8 - 4128*T1^5*T2^8 + 
      9707*T1^6*T2^8 - 6891*T1^7*T2^8 - 6057*T1^8*T2^8 + 8230*T1^9*T2^8 - 
      3401*T1^10*T2^8 - 123*T1^11*T2^8 + 338*T1^12*T2^8 - 19*T1^3*T2^9 - 
      563*T1^4*T2^9 + 2219*T1^5*T2^9 - 2247*T1^6*T2^9 - 2342*T1^7*T2^9 + 
      8230*T1^8*T2^9 - 4875*T1^9*T2^9 + 86*T1^10*T2^9 + 1285*T1^11*T2^9 - 
      463*T1^12*T2^9 + 122*T1^4*T2^10 - 159*T1^5*T2^10 - 877*T1^6*T2^10 + 
      2894*T1^7*T2^10 - 3401*T1^8*T2^10 + 86*T1^9*T2^10 + 1823*T1^10*T2^10 - 
      1347*T1^11*T2^10 + 338*T1^12*T2^10 - 94*T1^5*T2^11 + 382*T1^6*T2^11 - 
      511*T1^7*T2^11 - 123*T1^8*T2^11 + 1285*T1^9*T2^11 - 1347*T1^10*T2^11 + 
      668*T1^11*T2^11 - 138*T1^12*T2^11 + 25*T1^6*T2^12 - 138*T1^7*T2^12 + 
      338*T1^8*T2^12 - 463*T1^9*T2^12 + 338*T1^10*T2^12 - 138*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 422] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-25 + 138*T1 - 338*T1^2 + 463*T1^3 - 338*T1^4 + 138*T1^5 - 25*T1^6 + 
      138*T2 - 668*T1*T2 + 1347*T1^2*T2 - 1285*T1^3*T2 + 123*T1^4*T2 + 
      511*T1^5*T2 - 382*T1^6*T2 + 94*T1^7*T2 - 338*T2^2 + 1347*T1*T2^2 - 
      1823*T1^2*T2^2 - 86*T1^3*T2^2 + 3401*T1^4*T2^2 - 2894*T1^5*T2^2 + 
      877*T1^6*T2^2 + 159*T1^7*T2^2 - 122*T1^8*T2^2 + 463*T2^3 - 
      1285*T1*T2^3 - 86*T1^2*T2^3 + 4875*T1^3*T2^3 - 8230*T1^4*T2^3 + 
      2342*T1^5*T2^3 + 2247*T1^6*T2^3 - 2219*T1^7*T2^3 + 563*T1^8*T2^3 + 
      19*T1^9*T2^3 - 338*T2^4 + 123*T1*T2^4 + 3401*T1^2*T2^4 - 
      8230*T1^3*T2^4 + 6057*T1^4*T2^4 + 6891*T1^5*T2^4 - 9707*T1^6*T2^4 + 
      4128*T1^7*T2^4 + 279*T1^8*T2^4 - 625*T1^9*T2^4 + 94*T1^10*T2^4 + 
      138*T2^5 + 511*T1*T2^5 - 2894*T1^2*T2^5 + 2342*T1^3*T2^5 + 
      6891*T1^4*T2^5 - 19154*T1^5*T2^5 + 12354*T1^6*T2^5 + 708*T1^7*T2^5 - 
      4658*T1^8*T2^5 + 1939*T1^9*T2^5 - 61*T1^10*T2^5 - 82*T1^11*T2^5 - 
      25*T2^6 - 382*T1*T2^6 + 877*T1^2*T2^6 + 2247*T1^3*T2^6 - 
      9707*T1^4*T2^6 + 12354*T1^5*T2^6 + 1764*T1^6*T2^6 - 13718*T1^7*T2^6 + 
      9483*T1^8*T2^6 - 1611*T1^9*T2^6 - 883*T1^10*T2^6 + 322*T1^11*T2^6 + 
      23*T1^12*T2^6 + 94*T1*T2^7 + 159*T1^2*T2^7 - 2219*T1^3*T2^7 + 
      4128*T1^4*T2^7 + 708*T1^5*T2^7 - 13718*T1^6*T2^7 + 17790*T1^7*T2^7 - 
      5475*T1^8*T2^7 - 2872*T1^9*T2^7 + 2614*T1^10*T2^7 - 413*T1^11*T2^7 - 
      126*T1^12*T2^7 - 122*T1^2*T2^8 + 563*T1^3*T2^8 + 279*T1^4*T2^8 - 
      4658*T1^5*T2^8 + 9483*T1^6*T2^8 - 5475*T1^7*T2^8 - 6281*T1^8*T2^8 + 
      7700*T1^9*T2^8 - 2843*T1^10*T2^8 - 185*T1^11*T2^8 + 310*T1^12*T2^8 + 
      19*T1^3*T2^9 - 625*T1^4*T2^9 + 1939*T1^5*T2^9 - 1611*T1^6*T2^9 - 
      2872*T1^7*T2^9 + 7700*T1^8*T2^9 - 4239*T1^9*T2^9 - 194*T1^10*T2^9 + 
      1223*T1^11*T2^9 - 425*T1^12*T2^9 + 94*T1^4*T2^10 - 61*T1^5*T2^10 - 
      883*T1^6*T2^10 + 2614*T1^7*T2^10 - 2843*T1^8*T2^10 - 194*T1^9*T2^10 + 
      1817*T1^10*T2^10 - 1249*T1^11*T2^10 + 310*T1^12*T2^10 - 82*T1^5*T2^11 + 
      322*T1^6*T2^11 - 413*T1^7*T2^11 - 185*T1^8*T2^11 + 1223*T1^9*T2^11 - 
      1249*T1^10*T2^11 + 608*T1^11*T2^11 - 126*T1^12*T2^11 + 23*T1^6*T2^12 - 
      126*T1^7*T2^12 + 310*T1^8*T2^12 - 425*T1^9*T2^12 + 310*T1^10*T2^12 - 
      126*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 423] -> 
  {(1 - 3*T + 3*T^2 - T^3 + 3*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 6*T1^2 + 2*T1^3 - 6*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 10*T1^2*T2 + 2*T1^3*T2 + 14*T1^4*T2 - 8*T1^5*T2 - 3*T1^6*T2 + 
     3*T1^7*T2 - 6*T2^2 + 10*T1*T2^2 + 3*T1^2*T2^2 - 20*T1^3*T2^2 - 
     3*T1^4*T2^2 - 8*T1^5*T2^2 + 15*T1^6*T2^2 - 8*T1^7*T2^2 + 2*T2^3 + 
     2*T1*T2^3 - 20*T1^2*T2^3 + 48*T1^3*T2^3 - 16*T1^4*T2^3 + 2*T1^5*T2^3 + 
     7*T1^7*T2^3 + 2*T1^8*T2^3 - T1^9*T2^3 - 6*T2^4 + 14*T1*T2^4 - 
     3*T1^2*T2^4 - 16*T1^3*T2^4 - 49*T1^4*T2^4 + 29*T1^5*T2^4 - 
     13*T1^6*T2^4 - 16*T1^7*T2^4 + 15*T1^8*T2^4 - 16*T1^9*T2^4 + 
     6*T1^10*T2^4 + 6*T2^5 - 8*T1*T2^5 - 8*T1^2*T2^5 + 2*T1^3*T2^5 + 
     29*T1^4*T2^5 + 85*T1^5*T2^5 - 5*T1^6*T2^5 + 20*T1^7*T2^5 - 
     52*T1^8*T2^5 + 25*T1^9*T2^5 + 10*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 
     3*T1*T2^6 + 15*T1^2*T2^6 - 13*T1^4*T2^6 - 5*T1^5*T2^6 - 192*T1^6*T2^6 + 
     85*T1^7*T2^6 + 5*T1^8*T2^6 + 48*T1^9*T2^6 - 57*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 8*T1^2*T2^7 + 7*T1^3*T2^7 - 
     16*T1^4*T2^7 + 20*T1^5*T2^7 + 85*T1^6*T2^7 - 5*T1^7*T2^7 + 
     11*T1^8*T2^7 - 70*T1^9*T2^7 + 40*T1^10*T2^7 + 10*T1^11*T2^7 - 
     12*T1^12*T2^7 + 2*T1^3*T2^8 + 15*T1^4*T2^8 - 52*T1^5*T2^8 + 
     5*T1^6*T2^8 + 11*T1^7*T2^8 + 41*T1^8*T2^8 - 52*T1^9*T2^8 + 
     33*T1^10*T2^8 - 28*T1^11*T2^8 + 12*T1^12*T2^8 - T1^3*T2^9 - 
     16*T1^4*T2^9 + 25*T1^5*T2^9 + 48*T1^6*T2^9 - 70*T1^7*T2^9 - 
     52*T1^8*T2^9 + 52*T1^10*T2^9 - 16*T1^11*T2^9 - 4*T1^12*T2^9 + 
     6*T1^4*T2^10 + 10*T1^5*T2^10 - 57*T1^6*T2^10 + 40*T1^7*T2^10 + 
     33*T1^8*T2^10 + 52*T1^9*T2^10 - 45*T1^10*T2^10 - 8*T1^11*T2^10 + 
     12*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 + 10*T1^7*T2^11 - 
     28*T1^8*T2^11 - 16*T1^9*T2^11 - 8*T1^10*T2^11 + 27*T1^11*T2^11 - 
     12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 12*T1^8*T2^12 - 
     4*T1^9*T2^12 + 12*T1^10*T2^12 - 12*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 424] -> 
  {-((1 - 5*T + 12*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 60*T1^2 + 95*T1^3 - 105*T1^4 + 95*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 235*T1^3*T2 + 
      145*T1^4*T2 - 55*T1^5*T2 - 80*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 118*T1^3*T2^2 + 
      216*T1^4*T2^2 - 288*T1^5*T2^2 + 432*T1^6*T2^2 - 218*T1^7*T2^2 + 
      8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 95*T2^3 - 235*T1*T2^3 + 
      118*T1^2*T2^3 + 229*T1^3*T2^3 - 630*T1^4*T2^3 + 294*T1^5*T2^3 - 
      339*T1^6*T2^3 - 252*T1^7*T2^3 + 349*T1^8*T2^3 - 206*T1^9*T2^3 - 
      10*T1^10*T2^3 + 38*T1^11*T2^3 - 105*T2^4 + 145*T1*T2^4 + 
      216*T1^2*T2^4 - 630*T1^3*T2^4 + 778*T1^4*T2^4 + 126*T1^5*T2^4 + 
      70*T1^6*T2^4 + 660*T1^7*T2^4 - 202*T1^8*T2^4 - 136*T1^9*T2^4 + 
      274*T1^10*T2^4 - 85*T1^11*T2^4 - 21*T1^12*T2^4 + 95*T2^5 - 55*T1*T2^5 - 
      288*T1^2*T2^5 + 294*T1^3*T2^5 + 126*T1^4*T2^5 - 1224*T1^5*T2^5 + 
      297*T1^6*T2^5 - 673*T1^7*T2^5 - 446*T1^8*T2^5 + 555*T1^9*T2^5 - 
      313*T1^10*T2^5 - 81*T1^11*T2^5 + 105*T1^12*T2^5 - 60*T2^6 - 
      80*T1*T2^6 + 432*T1^2*T2^6 - 339*T1^3*T2^6 + 70*T1^4*T2^6 + 
      297*T1^5*T2^6 + 1326*T1^6*T2^6 - 746*T1^7*T2^6 + 1334*T1^8*T2^6 - 
      527*T1^9*T2^6 - 94*T1^10*T2^6 + 333*T1^11*T2^6 - 100*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 218*T1^2*T2^7 - 
      252*T1^3*T2^7 + 660*T1^4*T2^7 - 673*T1^5*T2^7 - 746*T1^6*T2^7 - 
      286*T1^7*T2^7 + 68*T1^8*T2^7 - 581*T1^9*T2^7 + 589*T1^10*T2^7 - 
      189*T1^11*T2^7 - 166*T1^12*T2^7 + 178*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 8*T1^2*T2^8 + 349*T1^3*T2^8 - 
      202*T1^4*T2^8 - 446*T1^5*T2^8 + 1334*T1^6*T2^8 + 68*T1^7*T2^8 - 
      84*T1^8*T2^8 + 112*T1^9*T2^8 - 8*T1^10*T2^8 - 450*T1^11*T2^8 + 
      418*T1^12*T2^8 - 161*T1^13*T2^8 - 70*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 206*T1^3*T2^9 - 
      136*T1^4*T2^9 + 555*T1^5*T2^9 - 527*T1^6*T2^9 - 581*T1^7*T2^9 + 
      112*T1^8*T2^9 + 466*T1^9*T2^9 - 416*T1^10*T2^9 + 735*T1^11*T2^9 - 
      294*T1^12*T2^9 - 50*T1^13*T2^9 + 190*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 10*T1^3*T2^10 + 274*T1^4*T2^10 - 
      313*T1^5*T2^10 - 94*T1^6*T2^10 + 589*T1^7*T2^10 - 8*T1^8*T2^10 - 
      416*T1^9*T2^10 - 235*T1^11*T2^10 - 258*T1^12*T2^10 + 359*T1^13*T2^10 - 
      258*T1^14*T2^10 + 10*T1^15*T2^10 + 36*T1^16*T2^10 + 38*T1^3*T2^11 - 
      85*T1^4*T2^11 - 81*T1^5*T2^11 + 333*T1^6*T2^11 - 189*T1^7*T2^11 - 
      450*T1^8*T2^11 + 735*T1^9*T2^11 - 235*T1^10*T2^11 + 328*T1^11*T2^11 + 
      240*T1^12*T2^11 - 274*T1^13*T2^11 + 126*T1^14*T2^11 + 75*T1^15*T2^11 - 
      57*T1^16*T2^11 - 21*T1^4*T2^12 + 105*T1^5*T2^12 - 100*T1^6*T2^12 - 
      166*T1^7*T2^12 + 418*T1^8*T2^12 - 294*T1^9*T2^12 - 258*T1^10*T2^12 + 
      240*T1^11*T2^12 - 562*T1^12*T2^12 + 328*T1^13*T2^12 - 42*T1^14*T2^12 - 
      125*T1^15*T2^12 + 63*T1^16*T2^12 - 60*T1^6*T2^13 + 178*T1^7*T2^13 - 
      161*T1^8*T2^13 - 50*T1^9*T2^13 + 359*T1^10*T2^13 - 274*T1^11*T2^13 + 
      328*T1^12*T2^13 - 41*T1^13*T2^13 - 146*T1^14*T2^13 + 165*T1^15*T2^13 - 
      57*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 70*T1^8*T2^14 + 
      190*T1^9*T2^14 - 258*T1^10*T2^14 + 126*T1^11*T2^14 - 42*T1^12*T2^14 - 
      146*T1^13*T2^14 + 194*T1^14*T2^14 - 130*T1^15*T2^14 + 36*T1^16*T2^14 - 
      10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 10*T1^10*T2^15 + 
      75*T1^11*T2^15 - 125*T1^12*T2^15 + 165*T1^13*T2^15 - 130*T1^14*T2^15 + 
      65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      36*T1^10*T2^16 - 57*T1^11*T2^16 + 63*T1^12*T2^16 - 57*T1^13*T2^16 + 
      36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 425] -> 
  {(1 - 4*T + 7*T^2 - 4*T^3 + T^4 - 4*T^5 + 7*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 14*T1^2 + 8*T1^3 - 2*T1^4 + 8*T1^5 - 14*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 40*T1^2*T2 - 4*T1^3*T2 - 8*T1^4*T2 - 
     28*T1^5*T2 + 40*T1^6*T2 - 4*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 14*T2^2 + 
     40*T1*T2^2 - 33*T1^2*T2^2 - 57*T1^3*T2^2 + 50*T1^4*T2^2 + 41*T1^5*T2^2 - 
     34*T1^6*T2^2 - 57*T1^7*T2^2 + 51*T1^8*T2^2 - 16*T1^9*T2^2 + 8*T2^3 - 
     4*T1*T2^3 - 57*T1^2*T2^3 + 158*T1^3*T2^3 - 82*T1^4*T2^3 - 37*T1^5*T2^3 - 
     45*T1^6*T2^3 + 166*T1^7*T2^3 - 90*T1^8*T2^3 - T1^9*T2^3 + 
     16*T1^10*T2^3 - 4*T1^11*T2^3 - 2*T2^4 - 8*T1*T2^4 + 50*T1^2*T2^4 - 
     82*T1^3*T2^4 - 28*T1^4*T2^4 + 151*T1^5*T2^4 - 64*T1^6*T2^4 - 
     41*T1^7*T2^4 - 28*T1^8*T2^4 + 94*T1^9*T2^4 - 50*T1^10*T2^4 + 
     8*T1^11*T2^4 + 2*T1^12*T2^4 + 8*T2^5 - 28*T1*T2^5 + 41*T1^2*T2^5 - 
     37*T1^3*T2^5 + 151*T1^4*T2^5 - 304*T1^5*T2^5 + 207*T1^6*T2^5 - 
     21*T1^7*T2^5 + 44*T1^8*T2^5 - 117*T1^9*T2^5 + 99*T1^10*T2^5 - 
     79*T1^11*T2^5 + 40*T1^12*T2^5 - 12*T1^13*T2^5 - 14*T2^6 + 40*T1*T2^6 - 
     34*T1^2*T2^6 - 45*T1^3*T2^6 - 64*T1^4*T2^6 + 207*T1^5*T2^6 - 
     88*T1^6*T2^6 - 126*T1^7*T2^6 + 80*T1^8*T2^6 + 39*T1^9*T2^6 - 
     194*T1^10*T2^6 + 179*T1^11*T2^6 + 18*T1^12*T2^6 - 64*T1^13*T2^6 + 
     28*T1^14*T2^6 + 8*T2^7 - 4*T1*T2^7 - 57*T1^2*T2^7 + 166*T1^3*T2^7 - 
     41*T1^4*T2^7 - 21*T1^5*T2^7 - 126*T1^6*T2^7 + 280*T1^7*T2^7 - 
     216*T1^8*T2^7 + 2*T1^9*T2^7 + 327*T1^10*T2^7 - 77*T1^11*T2^7 - 
     370*T1^12*T2^7 + 223*T1^13*T2^7 - 32*T1^14*T2^7 - 20*T1^15*T2^7 - 
     2*T2^8 - 8*T1*T2^8 + 51*T1^2*T2^8 - 90*T1^3*T2^8 - 28*T1^4*T2^8 + 
     44*T1^5*T2^8 + 80*T1^6*T2^8 - 216*T1^7*T2^8 + 180*T1^8*T2^8 + 
     136*T1^9*T2^8 - 248*T1^10*T2^8 - 484*T1^11*T2^8 + 840*T1^12*T2^8 - 
     202*T1^13*T2^8 - 81*T1^14*T2^8 + 56*T1^15*T2^8 + 6*T1^16*T2^8 + 
     4*T1*T2^9 - 16*T1^2*T2^9 - T1^3*T2^9 + 94*T1^4*T2^9 - 117*T1^5*T2^9 + 
     39*T1^6*T2^9 + 2*T1^7*T2^9 + 136*T1^8*T2^9 - 360*T1^9*T2^9 + 
     130*T1^10*T2^9 + 387*T1^11*T2^9 - 153*T1^12*T2^9 - 442*T1^13*T2^9 + 
     279*T1^14*T2^9 - 44*T1^15*T2^9 - 24*T1^16*T2^9 + 16*T1^3*T2^10 - 
     50*T1^4*T2^10 + 99*T1^5*T2^10 - 194*T1^6*T2^10 + 327*T1^7*T2^10 - 
     248*T1^8*T2^10 + 130*T1^9*T2^10 - 80*T1^10*T2^10 + 159*T1^11*T2^10 - 
     324*T1^12*T2^10 + 323*T1^13*T2^10 + 2*T1^14*T2^10 - 88*T1^15*T2^10 + 
     42*T1^16*T2^10 - 4*T1^3*T2^11 + 8*T1^4*T2^11 - 79*T1^5*T2^11 + 
     179*T1^6*T2^11 - 77*T1^7*T2^11 - 484*T1^8*T2^11 + 387*T1^9*T2^11 + 
     159*T1^10*T2^11 - 136*T1^11*T2^11 - 345*T1^12*T2^11 + 315*T1^13*T2^11 - 
     199*T1^14*T2^11 + 76*T1^15*T2^11 - 24*T1^16*T2^11 + 2*T1^4*T2^12 + 
     40*T1^5*T2^12 + 18*T1^6*T2^12 - 370*T1^7*T2^12 + 840*T1^8*T2^12 - 
     153*T1^9*T2^12 - 324*T1^10*T2^12 - 345*T1^11*T2^12 + 840*T1^12*T2^12 - 
     194*T1^13*T2^12 - 82*T1^14*T2^12 + 56*T1^15*T2^12 + 6*T1^16*T2^12 - 
     12*T1^5*T2^13 - 64*T1^6*T2^13 + 223*T1^7*T2^13 - 202*T1^8*T2^13 - 
     442*T1^9*T2^13 + 323*T1^10*T2^13 + 315*T1^11*T2^13 - 194*T1^12*T2^13 - 
     450*T1^13*T2^13 + 279*T1^14*T2^13 - 44*T1^15*T2^13 - 24*T1^16*T2^13 + 
     28*T1^6*T2^14 - 32*T1^7*T2^14 - 81*T1^8*T2^14 + 279*T1^9*T2^14 + 
     2*T1^10*T2^14 - 199*T1^11*T2^14 - 82*T1^12*T2^14 + 279*T1^13*T2^14 + 
     3*T1^14*T2^14 - 88*T1^15*T2^14 + 42*T1^16*T2^14 - 20*T1^7*T2^15 + 
     56*T1^8*T2^15 - 44*T1^9*T2^15 - 88*T1^10*T2^15 + 76*T1^11*T2^15 + 
     56*T1^12*T2^15 - 44*T1^13*T2^15 - 88*T1^14*T2^15 + 76*T1^15*T2^15 - 
     24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 42*T1^10*T2^16 - 
     24*T1^11*T2^16 + 6*T1^12*T2^16 - 24*T1^13*T2^16 + 42*T1^14*T2^16 - 
     24*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 426] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 + T - 3*T^2 + T^3 + T^4))/T^4, 
   (-8 + 24*T1^2 - 32*T1^3 + 24*T1^4 - 32*T1^5 + 24*T1^6 - 8*T1^8 + T1^2*T2 - 
     3*T1^3*T2 + 2*T1^4*T2 + 2*T1^5*T2 - 3*T1^6*T2 + T1^7*T2 + 24*T2^2 + 
     T1*T2^2 - 57*T1^2*T2^2 + 95*T1^3*T2^2 - 113*T1^4*T2^2 + 147*T1^5*T2^2 - 
     113*T1^6*T2^2 + 71*T1^7*T2^2 - 33*T1^8*T2^2 + T1^9*T2^2 + 
     18*T1^10*T2^2 - 32*T2^3 - 3*T1*T2^3 + 95*T1^2*T2^3 - 132*T1^3*T2^3 + 
     78*T1^4*T2^3 - 61*T1^5*T2^3 + 23*T1^6*T2^3 + 42*T1^7*T2^3 - 
     96*T1^8*T2^3 + 59*T1^9*T2^3 - 3*T1^10*T2^3 - 20*T1^11*T2^3 + 24*T2^4 + 
     2*T1*T2^4 - 113*T1^2*T2^4 + 78*T1^3*T2^4 + 91*T1^4*T2^4 - 
     100*T1^5*T2^4 + 45*T1^6*T2^4 - 148*T1^7*T2^4 + 139*T1^8*T2^4 + 
     30*T1^9*T2^4 - 77*T1^10*T2^4 + 2*T1^11*T2^4 + 12*T1^12*T2^4 - 32*T2^5 + 
     2*T1*T2^5 + 147*T1^2*T2^5 - 61*T1^3*T2^5 - 100*T1^4*T2^5 - 
     12*T1^5*T2^5 + 90*T1^6*T2^5 + 114*T1^7*T2^5 - 36*T1^8*T2^5 - 
     124*T1^9*T2^5 + 31*T1^10*T2^5 + 75*T1^11*T2^5 + 2*T1^12*T2^5 - 
     12*T1^13*T2^5 + 24*T2^6 - 3*T1*T2^6 - 113*T1^2*T2^6 + 23*T1^3*T2^6 + 
     45*T1^4*T2^6 + 90*T1^5*T2^6 - 112*T1^6*T2^6 - 76*T1^7*T2^6 - 
     40*T1^8*T2^6 + 90*T1^9*T2^6 + 27*T1^10*T2^6 - 49*T1^11*T2^6 - 
     41*T1^12*T2^6 - 3*T1^13*T2^6 + 6*T1^14*T2^6 + T1*T2^7 + 71*T1^2*T2^7 + 
     42*T1^3*T2^7 - 148*T1^4*T2^7 + 114*T1^5*T2^7 - 76*T1^6*T2^7 + 
     160*T1^7*T2^7 - 8*T1^8*T2^7 - 52*T1^9*T2^7 + 42*T1^10*T2^7 - 
     28*T1^11*T2^7 + 30*T1^12*T2^7 + 35*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 
     33*T1^2*T2^8 - 96*T1^3*T2^8 + 139*T1^4*T2^8 - 36*T1^5*T2^8 - 
     40*T1^6*T2^8 - 8*T1^7*T2^8 - 132*T1^8*T2^8 + 136*T1^9*T2^8 - 
     80*T1^10*T2^8 + 12*T1^11*T2^8 + 7*T1^12*T2^8 - 32*T1^13*T2^8 - 
     21*T1^14*T2^8 + T1^2*T2^9 + 59*T1^3*T2^9 + 30*T1^4*T2^9 - 
     124*T1^5*T2^9 + 90*T1^6*T2^9 - 52*T1^7*T2^9 + 136*T1^8*T2^9 - 
     32*T1^9*T2^9 - 28*T1^10*T2^9 + 18*T1^11*T2^9 - 4*T1^12*T2^9 + 
     18*T1^13*T2^9 + 23*T1^14*T2^9 + T1^15*T2^9 + 18*T1^2*T2^10 - 
     3*T1^3*T2^10 - 77*T1^4*T2^10 + 31*T1^5*T2^10 + 27*T1^6*T2^10 + 
     42*T1^7*T2^10 - 80*T1^8*T2^10 - 28*T1^9*T2^10 - 8*T1^10*T2^10 + 
     42*T1^11*T2^10 + 9*T1^12*T2^10 - 41*T1^13*T2^10 - 5*T1^14*T2^10 - 
     3*T1^15*T2^10 - 20*T1^3*T2^11 + 2*T1^4*T2^11 + 75*T1^5*T2^11 - 
     49*T1^6*T2^11 - 28*T1^7*T2^11 + 12*T1^8*T2^11 + 18*T1^9*T2^11 + 
     42*T1^10*T2^11 - 12*T1^11*T2^11 - 52*T1^12*T2^11 + 43*T1^13*T2^11 + 
     3*T1^14*T2^11 + 2*T1^15*T2^11 + 12*T1^4*T2^12 + 2*T1^5*T2^12 - 
     41*T1^6*T2^12 + 30*T1^7*T2^12 + 7*T1^8*T2^12 - 4*T1^9*T2^12 + 
     9*T1^10*T2^12 - 52*T1^11*T2^12 + 55*T1^12*T2^12 - 18*T1^13*T2^12 - 
     5*T1^14*T2^12 + 2*T1^15*T2^12 - 12*T1^5*T2^13 - 3*T1^6*T2^13 + 
     35*T1^7*T2^13 - 32*T1^8*T2^13 + 18*T1^9*T2^13 - 41*T1^10*T2^13 + 
     43*T1^11*T2^13 - 18*T1^12*T2^13 + 4*T1^13*T2^13 - T1^14*T2^13 - 
     3*T1^15*T2^13 + 6*T1^6*T2^14 + T1^7*T2^14 - 21*T1^8*T2^14 + 
     23*T1^9*T2^14 - 5*T1^10*T2^14 + 3*T1^11*T2^14 - 5*T1^12*T2^14 - 
     T1^13*T2^14 + 3*T1^14*T2^14 + T1^15*T2^14 + T1^9*T2^15 - 3*T1^10*T2^15 + 
     2*T1^11*T2^15 + 2*T1^12*T2^15 - 3*T1^13*T2^15 + T1^14*T2^15)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 427] -> 
  {(1 - 5*T + 14*T^2 - 23*T^3 + 27*T^4 - 23*T^5 + 14*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 84*T1^2 + 138*T1^3 - 162*T1^4 + 138*T1^5 - 84*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 295*T1^2*T2 - 340*T1^3*T2 + 
     235*T1^4*T2 - 15*T1^5*T2 - 155*T1^6*T2 + 200*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 84*T2^2 + 295*T1*T2^2 - 601*T1^2*T2^2 + 438*T1^3*T2^2 - 
     124*T1^4*T2^2 - 221*T1^5*T2^2 + 240*T1^6*T2^2 - 66*T1^7*T2^2 - 
     237*T1^8*T2^2 + 155*T1^9*T2^2 - 56*T1^10*T2^2 + 138*T2^3 - 340*T1*T2^3 + 
     438*T1^2*T2^3 + 455*T1^3*T2^3 - 846*T1^4*T2^3 + 844*T1^5*T2^3 - 
     103*T1^6*T2^3 - 464*T1^7*T2^3 + 781*T1^8*T2^3 - 108*T1^9*T2^3 - 
     65*T1^10*T2^3 + 69*T1^11*T2^3 - 162*T2^4 + 235*T1*T2^4 - 124*T1^2*T2^4 - 
     846*T1^3*T2^4 - 275*T1^4*T2^4 + 1585*T1^5*T2^4 - 2959*T1^6*T2^4 + 
     2631*T1^7*T2^4 - 1607*T1^8*T2^4 - 340*T1^9*T2^4 + 238*T1^10*T2^4 - 
     75*T1^11*T2^4 - 54*T1^12*T2^4 + 138*T2^5 - 15*T1*T2^5 - 221*T1^2*T2^5 + 
     844*T1^3*T2^5 + 1585*T1^4*T2^5 - 2542*T1^5*T2^5 + 2676*T1^6*T2^5 - 
     624*T1^7*T2^5 - 828*T1^8*T2^5 + 2082*T1^9*T2^5 - 249*T1^10*T2^5 - 
     128*T1^11*T2^5 + 155*T1^12*T2^5 + 23*T1^13*T2^5 - 84*T2^6 - 
     155*T1*T2^6 + 240*T1^2*T2^6 - 103*T1^3*T2^6 - 2959*T1^4*T2^6 + 
     2676*T1^5*T2^6 - 1645*T1^6*T2^6 - 711*T1^7*T2^6 + 995*T1^8*T2^6 - 
     904*T1^9*T2^6 - 1443*T1^10*T2^6 + 625*T1^11*T2^6 - 128*T1^12*T2^6 - 
     115*T1^13*T2^6 + 30*T2^7 + 200*T1*T2^7 - 66*T1^2*T2^7 - 464*T1^3*T2^7 + 
     2631*T1^4*T2^7 - 624*T1^5*T2^7 - 711*T1^6*T2^7 + 1632*T1^7*T2^7 - 
     116*T1^8*T2^7 - 736*T1^9*T2^7 + 2116*T1^10*T2^7 - 62*T1^11*T2^7 - 
     350*T1^12*T2^7 + 228*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 
     6*T2^8 - 95*T1*T2^8 - 237*T1^2*T2^8 + 781*T1^3*T2^8 - 1607*T1^4*T2^8 - 
     828*T1^5*T2^8 + 995*T1^6*T2^8 - 116*T1^7*T2^8 - 1596*T1^8*T2^8 + 
     1436*T1^9*T2^8 - 1003*T1^10*T2^8 - 1240*T1^11*T2^8 + 845*T1^12*T2^8 - 
     165*T1^13*T2^8 - 91*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 
     25*T1*T2^9 + 155*T1^2*T2^9 - 108*T1^3*T2^9 - 340*T1^4*T2^9 + 
     2082*T1^5*T2^9 - 904*T1^6*T2^9 - 736*T1^7*T2^9 + 1436*T1^8*T2^9 - 
     312*T1^9*T2^9 - 761*T1^10*T2^9 + 1836*T1^11*T2^9 - 611*T1^12*T2^9 - 
     226*T1^13*T2^9 + 186*T1^14*T2^9 - 20*T1^15*T2^9 - 10*T1^16*T2^9 - 
     56*T1^2*T2^10 - 65*T1^3*T2^10 + 238*T1^4*T2^10 - 249*T1^5*T2^10 - 
     1443*T1^6*T2^10 + 2116*T1^7*T2^10 - 1003*T1^8*T2^10 - 761*T1^9*T2^10 + 
     1637*T1^10*T2^10 - 1464*T1^11*T2^10 + 73*T1^12*T2^10 + 479*T1^13*T2^10 - 
     130*T1^14*T2^10 - 25*T1^15*T2^10 + 28*T1^16*T2^10 + 69*T1^3*T2^11 - 
     75*T1^4*T2^11 - 128*T1^5*T2^11 + 625*T1^6*T2^11 - 62*T1^7*T2^11 - 
     1240*T1^8*T2^11 + 1836*T1^9*T2^11 - 1464*T1^10*T2^11 + 474*T1^11*T2^11 + 
     435*T1^12*T2^11 - 468*T1^13*T2^11 - 35*T1^14*T2^11 + 95*T1^15*T2^11 - 
     46*T1^16*T2^11 - 54*T1^4*T2^12 + 155*T1^5*T2^12 - 128*T1^6*T2^12 - 
     350*T1^7*T2^12 + 845*T1^8*T2^12 - 611*T1^9*T2^12 + 73*T1^10*T2^12 + 
     435*T1^11*T2^12 - 487*T1^12*T2^12 + 156*T1^13*T2^12 + 234*T1^14*T2^12 - 
     155*T1^15*T2^12 + 54*T1^16*T2^12 + 23*T1^5*T2^13 - 115*T1^6*T2^13 + 
     228*T1^7*T2^13 - 165*T1^8*T2^13 - 226*T1^9*T2^13 + 479*T1^10*T2^13 - 
     468*T1^11*T2^13 + 156*T1^12*T2^13 + 161*T1^13*T2^13 - 318*T1^14*T2^13 + 
     160*T1^15*T2^13 - 46*T1^16*T2^13 + 25*T1^7*T2^14 - 91*T1^8*T2^14 + 
     186*T1^9*T2^14 - 130*T1^10*T2^14 - 35*T1^11*T2^14 + 234*T1^12*T2^14 - 
     318*T1^13*T2^14 + 273*T1^14*T2^14 - 115*T1^15*T2^14 + 28*T1^16*T2^14 - 
     5*T1^7*T2^15 + 15*T1^8*T2^15 - 20*T1^9*T2^15 - 25*T1^10*T2^15 + 
     95*T1^11*T2^15 - 155*T1^12*T2^15 + 160*T1^13*T2^15 - 115*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     28*T1^10*T2^16 - 46*T1^11*T2^16 + 54*T1^12*T2^16 - 46*T1^13*T2^16 + 
     28*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 428] -> 
  {-((1 - 4*T + 5*T^2 - 4*T^3 + 3*T^4 - 4*T^5 + 5*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 35*T1^2 + 28*T1^3 - 21*T1^4 + 28*T1^5 - 35*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 44*T1^2*T2 + 8*T1^3*T2 - 
      12*T1^4*T2 - 40*T1^5*T2 + 44*T1^6*T2 + 8*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 35*T2^2 + 44*T1*T2^2 + 181*T1^2*T2^2 - 235*T1^3*T2^2 + 
      147*T1^4*T2^2 - 41*T1^5*T2^2 + 127*T1^6*T2^2 - 235*T1^7*T2^2 + 
      221*T1^8*T2^2 + 4*T1^9*T2^2 - 25*T1^10*T2^2 + 28*T2^3 + 8*T1*T2^3 - 
      235*T1^2*T2^3 + 100*T1^3*T2^3 + 50*T1^4*T2^3 - 76*T1^5*T2^3 - 
      108*T1^6*T2^3 + 146*T1^7*T2^3 - 20*T1^8*T2^3 - 195*T1^9*T2^3 + 
      36*T1^10*T2^3 + 16*T1^11*T2^3 - 21*T2^4 - 12*T1*T2^4 + 147*T1^2*T2^4 + 
      50*T1^3*T2^4 - 86*T1^4*T2^4 + 25*T1^5*T2^4 + 108*T1^6*T2^4 - 
      39*T1^7*T2^4 - 62*T1^8*T2^4 + 130*T1^9*T2^4 + 79*T1^10*T2^4 - 
      28*T1^11*T2^4 - 9*T1^12*T2^4 + 28*T2^5 - 40*T1*T2^5 - 41*T1^2*T2^5 - 
      76*T1^3*T2^5 + 25*T1^4*T2^5 - 6*T1^5*T2^5 - 30*T1^6*T2^5 - 
      26*T1^7*T2^5 + 22*T1^8*T2^5 - 35*T1^9*T2^5 - 76*T1^10*T2^5 - 
      17*T1^11*T2^5 + 4*T1^12*T2^5 + 8*T1^13*T2^5 - 35*T2^6 + 44*T1*T2^6 + 
      127*T1^2*T2^6 - 108*T1^3*T2^6 + 108*T1^4*T2^6 - 30*T1^5*T2^6 + 
      46*T1^6*T2^6 - 78*T1^7*T2^6 + 106*T1^8*T2^6 - 22*T1^9*T2^6 + 
      62*T1^10*T2^6 - 28*T1^11*T2^6 + 51*T1^12*T2^6 - 12*T1^13*T2^6 - 
      5*T1^14*T2^6 + 28*T2^7 + 8*T1*T2^7 - 235*T1^2*T2^7 + 146*T1^3*T2^7 - 
      39*T1^4*T2^7 - 26*T1^5*T2^7 - 78*T1^6*T2^7 + 180*T1^7*T2^7 - 
      124*T1^8*T2^7 - 30*T1^9*T2^7 - 22*T1^10*T2^7 + 37*T1^11*T2^7 - 
      14*T1^12*T2^7 - 35*T1^13*T2^7 + 20*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 
      221*T1^2*T2^8 - 20*T1^3*T2^8 - 62*T1^4*T2^8 + 22*T1^5*T2^8 + 
      106*T1^6*T2^8 - 124*T1^7*T2^8 - 60*T1^8*T2^8 + 164*T1^9*T2^8 - 
      38*T1^10*T2^8 + 6*T1^11*T2^8 - 50*T1^12*T2^8 + 60*T1^13*T2^8 - 
      23*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 4*T1^2*T2^9 - 
      195*T1^3*T2^9 + 130*T1^4*T2^9 - 35*T1^5*T2^9 - 22*T1^6*T2^9 - 
      30*T1^7*T2^9 + 164*T1^8*T2^9 - 140*T1^9*T2^9 + 18*T1^10*T2^9 - 
      18*T1^11*T2^9 + 41*T1^12*T2^9 - 30*T1^13*T2^9 + 5*T1^14*T2^9 + 
      16*T1^15*T2^9 - 4*T1^16*T2^9 - 25*T1^2*T2^10 + 36*T1^3*T2^10 + 
      79*T1^4*T2^10 - 76*T1^5*T2^10 + 62*T1^6*T2^10 - 22*T1^7*T2^10 - 
      38*T1^8*T2^10 + 18*T1^9*T2^10 + 22*T1^10*T2^10 - 14*T1^11*T2^10 + 
      16*T1^12*T2^10 + 4*T1^13*T2^10 + 3*T1^14*T2^10 - 20*T1^15*T2^10 + 
      5*T1^16*T2^10 + 16*T1^3*T2^11 - 28*T1^4*T2^11 - 17*T1^5*T2^11 - 
      28*T1^6*T2^11 + 37*T1^7*T2^11 + 6*T1^8*T2^11 - 18*T1^9*T2^11 - 
      14*T1^10*T2^11 + 34*T1^11*T2^11 - 23*T1^12*T2^11 - 28*T1^13*T2^11 + 
      7*T1^14*T2^11 + 16*T1^15*T2^11 - 4*T1^16*T2^11 - 9*T1^4*T2^12 + 
      4*T1^5*T2^12 + 51*T1^6*T2^12 - 14*T1^7*T2^12 - 50*T1^8*T2^12 + 
      41*T1^9*T2^12 + 16*T1^10*T2^12 - 23*T1^11*T2^12 - 26*T1^12*T2^12 + 
      66*T1^13*T2^12 - 17*T1^14*T2^12 - 12*T1^15*T2^12 + 3*T1^16*T2^12 + 
      8*T1^5*T2^13 - 12*T1^6*T2^13 - 35*T1^7*T2^13 + 60*T1^8*T2^13 - 
      30*T1^9*T2^13 + 4*T1^10*T2^13 - 28*T1^11*T2^13 + 66*T1^12*T2^13 - 
      60*T1^13*T2^13 + 5*T1^14*T2^13 + 16*T1^15*T2^13 - 4*T1^16*T2^13 - 
      5*T1^6*T2^14 + 20*T1^7*T2^14 - 23*T1^8*T2^14 + 5*T1^9*T2^14 + 
      3*T1^10*T2^14 + 7*T1^11*T2^14 - 17*T1^12*T2^14 + 5*T1^13*T2^14 + 
      17*T1^14*T2^14 - 20*T1^15*T2^14 + 5*T1^16*T2^14 - 4*T1^8*T2^15 + 
      16*T1^9*T2^15 - 20*T1^10*T2^15 + 16*T1^11*T2^15 - 12*T1^12*T2^15 + 
      16*T1^13*T2^15 - 20*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + 
      T1^8*T2^16 - 4*T1^9*T2^16 + 5*T1^10*T2^16 - 4*T1^11*T2^16 + 
      3*T1^12*T2^16 - 4*T1^13*T2^16 + 5*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 429] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-40 + 178*T1 - 272*T1^2 + 178*T1^3 - 40*T1^4 + 178*T2 - 894*T1*T2 + 
      1707*T1^2*T2 - 1533*T1^3*T2 + 690*T1^4*T2 - 110*T1^5*T2 - 272*T2^2 + 
      1707*T1*T2^2 - 3569*T1^2*T2^2 + 1933*T1^3*T2^2 + 1399*T1^4*T2^2 - 
      2181*T1^5*T2^2 + 592*T1^6*T2^2 + 178*T2^3 - 1533*T1*T2^3 + 
      1933*T1^2*T2^3 + 5670*T1^3*T2^3 - 11448*T1^4*T2^3 + 6793*T1^5*T2^3 + 
      411*T1^6*T2^3 - 686*T1^7*T2^3 - 40*T2^4 + 690*T1*T2^4 + 
      1399*T1^2*T2^4 - 11448*T1^3*T2^4 + 10944*T1^4*T2^4 + 2304*T1^5*T2^4 - 
      8537*T1^6*T2^4 + 2130*T1^7*T2^4 + 216*T1^8*T2^4 - 110*T1*T2^5 - 
      2181*T1^2*T2^5 + 6793*T1^3*T2^5 + 2304*T1^4*T2^5 - 14814*T1^5*T2^5 + 
      11653*T1^6*T2^5 - 237*T1^7*T2^5 - 974*T1^8*T2^5 + 592*T1^2*T2^6 + 
      411*T1^3*T2^6 - 8537*T1^4*T2^6 + 11653*T1^5*T2^6 - 3569*T1^6*T2^6 - 
      3477*T1^7*T2^6 + 1456*T1^8*T2^6 - 686*T1^3*T2^7 + 2130*T1^4*T2^7 - 
      237*T1^5*T2^7 - 3477*T1^6*T2^7 + 3714*T1^7*T2^7 - 974*T1^8*T2^7 + 
      216*T1^4*T2^8 - 974*T1^5*T2^8 + 1456*T1^6*T2^8 - 974*T1^7*T2^8 + 
      216*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 430] -> 
  {1, -((T1 + T1^2 + T2 - 2*T1*T2 - 4*T1^2*T2 - 2*T1^3*T2 + T1^4*T2 + T2^2 - 
      4*T1*T2^2 + 4*T1^2*T2^2 + 4*T1^3*T2^2 - 4*T1^4*T2^2 + T1^5*T2^2 - 
      2*T1*T2^3 + 4*T1^2*T2^3 + 4*T1^4*T2^3 - 2*T1^5*T2^3 + T1*T2^4 - 
      4*T1^2*T2^4 + 4*T1^3*T2^4 + 4*T1^4*T2^4 - 4*T1^5*T2^4 + T1^6*T2^4 + 
      T1^2*T2^5 - 2*T1^3*T2^5 - 4*T1^4*T2^5 - 2*T1^5*T2^5 + T1^6*T2^5 + 
      T1^4*T2^6 + T1^5*T2^6)/(T1^4*T2^3*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 431] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 72*T1^2 + 105*T1^3 - 72*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 448*T1^2*T2 - 457*T1^3*T2 + 15*T1^4*T2 + 192*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 72*T2^2 + 448*T1*T2^2 - 726*T1^2*T2^2 - 
      360*T1^3*T2^2 + 2196*T1^4*T2^2 - 1656*T1^5*T2^2 + 378*T1^6*T2^2 + 
      64*T1^7*T2^2 - 24*T1^8*T2^2 + 105*T2^3 - 457*T1*T2^3 - 360*T1^2*T2^3 + 
      3985*T1^3*T2^3 - 6353*T1^4*T2^3 + 1615*T1^5*T2^3 + 1621*T1^6*T2^3 - 
      1152*T1^7*T2^3 + 191*T1^8*T2^3 - 72*T2^4 + 15*T1*T2^4 + 
      2196*T1^2*T2^4 - 6353*T1^3*T2^4 + 4336*T1^4*T2^4 + 6986*T1^5*T2^4 - 
      8576*T1^6*T2^4 + 3167*T1^7*T2^4 + 20*T1^8*T2^4 - 193*T1^9*T2^4 + 
      24*T1^10*T2^4 + 24*T2^5 + 192*T1*T2^5 - 1656*T1^2*T2^5 + 
      1615*T1^3*T2^5 + 6986*T1^4*T2^5 - 19038*T1^5*T2^5 + 12450*T1^6*T2^5 - 
      118*T1^7*T2^5 - 3249*T1^8*T2^5 + 1152*T1^9*T2^5 - 64*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 378*T1^2*T2^6 + 1621*T1^3*T2^6 - 
      8576*T1^4*T2^6 + 12450*T1^5*T2^6 + 708*T1^6*T2^6 - 12814*T1^7*T2^6 + 
      9104*T1^8*T2^6 - 1661*T1^9*T2^6 - 374*T1^10*T2^6 + 104*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 64*T1^2*T2^7 - 1152*T1^3*T2^7 + 
      3167*T1^4*T2^7 - 118*T1^5*T2^7 - 12814*T1^6*T2^7 + 18674*T1^7*T2^7 - 
      7222*T1^8*T2^7 - 1697*T1^9*T2^7 + 1656*T1^10*T2^7 - 192*T1^11*T2^7 - 
      24*T1^12*T2^7 - 24*T1^2*T2^8 + 191*T1^3*T2^8 + 20*T1^4*T2^8 - 
      3249*T1^5*T2^8 + 9104*T1^6*T2^8 - 7222*T1^7*T2^8 - 3808*T1^8*T2^8 + 
      6271*T1^9*T2^8 - 2156*T1^10*T2^8 - 17*T1^11*T2^8 + 72*T1^12*T2^8 - 
      193*T1^4*T2^9 + 1152*T1^5*T2^9 - 1661*T1^6*T2^9 - 1697*T1^7*T2^9 + 
      6271*T1^8*T2^9 - 4025*T1^9*T2^9 + 360*T1^10*T2^9 + 455*T1^11*T2^9 - 
      105*T1^12*T2^9 + 24*T1^4*T2^10 - 64*T1^5*T2^10 - 374*T1^6*T2^10 + 
      1656*T1^7*T2^10 - 2156*T1^8*T2^10 + 360*T1^9*T2^10 + 730*T1^10*T2^10 - 
      448*T1^11*T2^10 + 72*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      192*T1^7*T2^11 - 17*T1^8*T2^11 + 455*T1^9*T2^11 - 448*T1^10*T2^11 + 
      176*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      72*T1^8*T2^12 - 105*T1^9*T2^12 + 72*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 432] -> {(3 - 4*T + 3*T^2 - 4*T^3 + 3*T^4)/T^2, 
   (3 + T1 - 5*T1^2 + T1^3 + 3*T1^4 + T2 - 50*T1*T2 + 60*T1^2*T2 - 
     24*T1^3*T2 + 34*T1^4*T2 - 35*T1^5*T2 - 5*T2^2 + 60*T1*T2^2 - 
     45*T1^2*T2^2 + 17*T1^3*T2^2 - 45*T1^4*T2^2 - 12*T1^5*T2^2 + 
     49*T1^6*T2^2 + T2^3 - 24*T1*T2^3 + 17*T1^2*T2^3 - 80*T1^3*T2^3 + 
     88*T1^4*T2^3 - 7*T1^5*T2^3 + 84*T1^6*T2^3 - 107*T1^7*T2^3 + 3*T2^4 + 
     34*T1*T2^4 - 45*T1^2*T2^4 + 88*T1^3*T2^4 - 56*T1^5*T2^4 - 65*T1^6*T2^4 - 
     14*T1^7*T2^4 + 111*T1^8*T2^4 - 35*T1*T2^5 - 12*T1^2*T2^5 - 7*T1^3*T2^5 - 
     56*T1^4*T2^5 + 112*T1^5*T2^5 - 31*T1^6*T2^5 + 96*T1^7*T2^5 - 
     143*T1^8*T2^5 + 49*T1^2*T2^6 + 84*T1^3*T2^6 - 65*T1^4*T2^6 - 
     31*T1^5*T2^6 - 65*T1^6*T2^6 + 12*T1^7*T2^6 + 103*T1^8*T2^6 - 
     107*T1^3*T2^7 - 14*T1^4*T2^7 + 96*T1^5*T2^7 + 12*T1^6*T2^7 + 
     70*T1^7*T2^7 - 143*T1^8*T2^7 + 111*T1^4*T2^8 - 143*T1^5*T2^8 + 
     103*T1^6*T2^8 - 143*T1^7*T2^8 + 111*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 433] -> 
  {-((1 - 2*T - 4*T^2 + 9*T^3 - 4*T^4 - 2*T^5 + T^6)/T^3), 
   -((-1 + 2*T1 + 4*T1^2 - 9*T1^3 + 4*T1^4 + 2*T1^5 - T1^6 + 2*T2 - 4*T1*T2 - 
      7*T1^2*T2 + 17*T1^3*T2 - 9*T1^4*T2 - 3*T1^5*T2 + 2*T1^6*T2 + 4*T2^2 - 
      7*T1*T2^2 - 27*T1^2*T2^2 + 52*T1^3*T2^2 - 5*T1^4*T2^2 - 36*T1^5*T2^2 + 
      13*T1^6*T2^2 + 9*T1^7*T2^2 - 4*T1^8*T2^2 - 9*T2^3 + 17*T1*T2^3 + 
      52*T1^2*T2^3 - 75*T1^3*T2^3 - 37*T1^4*T2^3 + 13*T1^5*T2^3 + 
      125*T1^6*T2^3 - 80*T1^7*T2^3 - 29*T1^8*T2^3 + 18*T1^9*T2^3 + 4*T2^4 - 
      9*T1*T2^4 - 5*T1^2*T2^4 - 37*T1^3*T2^4 + 30*T1^4*T2^4 + 198*T1^5*T2^4 - 
      286*T1^6*T2^4 - T1^7*T2^4 + 131*T1^8*T2^4 - 13*T1^9*T2^4 - 
      12*T1^10*T2^4 + 2*T2^5 - 3*T1*T2^5 - 36*T1^2*T2^5 + 13*T1^3*T2^5 + 
      198*T1^4*T2^5 + 14*T1^5*T2^5 - 472*T1^6*T2^5 + 502*T1^7*T2^5 - 
      65*T1^8*T2^5 - 80*T1^9*T2^5 + 41*T1^10*T2^5 - 8*T1^11*T2^5 - T2^6 + 
      2*T1*T2^6 + 13*T1^2*T2^6 + 125*T1^3*T2^6 - 286*T1^4*T2^6 - 
      472*T1^5*T2^6 + 864*T1^6*T2^6 - 212*T1^7*T2^6 - 326*T1^8*T2^6 + 
      51*T1^9*T2^6 - 11*T1^10*T2^6 + 6*T1^11*T2^6 + 5*T1^12*T2^6 + 
      9*T1^2*T2^7 - 80*T1^3*T2^7 - T1^4*T2^7 + 502*T1^5*T2^7 - 
      212*T1^6*T2^7 - 698*T1^7*T2^7 + 806*T1^8*T2^7 - 79*T1^9*T2^7 - 
      124*T1^10*T2^7 + 53*T1^11*T2^7 - 10*T1^12*T2^7 - 4*T1^2*T2^8 - 
      29*T1^3*T2^8 + 131*T1^4*T2^8 - 65*T1^5*T2^8 - 326*T1^6*T2^8 + 
      806*T1^7*T2^8 - 642*T1^8*T2^8 - 29*T1^9*T2^8 + 267*T1^10*T2^8 - 
      33*T1^11*T2^8 - 20*T1^12*T2^8 + 18*T1^3*T2^9 - 13*T1^4*T2^9 - 
      80*T1^5*T2^9 + 51*T1^6*T2^9 - 79*T1^7*T2^9 - 29*T1^8*T2^9 + 
      251*T1^9*T2^9 - 212*T1^10*T2^9 - 59*T1^11*T2^9 + 45*T1^12*T2^9 - 
      12*T1^4*T2^10 + 41*T1^5*T2^10 - 11*T1^6*T2^10 - 124*T1^7*T2^10 + 
      267*T1^8*T2^10 - 212*T1^9*T2^10 + 29*T1^10*T2^10 + 57*T1^11*T2^10 - 
      20*T1^12*T2^10 - 8*T1^5*T2^11 + 6*T1^6*T2^11 + 53*T1^7*T2^11 - 
      33*T1^8*T2^11 - 59*T1^9*T2^11 + 57*T1^10*T2^11 + 12*T1^11*T2^11 - 
      10*T1^12*T2^11 + 5*T1^6*T2^12 - 10*T1^7*T2^12 - 20*T1^8*T2^12 + 
      45*T1^9*T2^12 - 20*T1^10*T2^12 - 10*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 434] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 45*T1^2 + 63*T1^3 - 45*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 198*T1^2*T2 - 197*T1^3*T2 + 19*T1^4*T2 + 72*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 45*T2^2 + 198*T1*T2^2 - 258*T1^2*T2^2 - 
      56*T1^3*T2^2 + 612*T1^4*T2^2 - 506*T1^5*T2^2 + 162*T1^6*T2^2 + 
      18*T1^7*T2^2 - 15*T1^8*T2^2 + 63*T2^3 - 197*T1*T2^3 - 56*T1^2*T2^3 + 
      897*T1^3*T2^3 - 1478*T1^4*T2^3 + 439*T1^5*T2^3 + 393*T1^6*T2^3 - 
      371*T1^7*T2^3 + 91*T1^8*T2^3 - 45*T2^4 + 19*T1*T2^4 + 612*T1^2*T2^4 - 
      1478*T1^3*T2^4 + 951*T1^4*T2^4 + 1373*T1^5*T2^4 - 1989*T1^6*T2^4 + 
      790*T1^7*T2^4 - 89*T1^9*T2^4 + 15*T1^10*T2^4 + 18*T2^5 + 72*T1*T2^5 - 
      506*T1^2*T2^5 + 439*T1^3*T2^5 + 1373*T1^4*T2^5 - 3407*T1^5*T2^5 + 
      2473*T1^6*T2^5 + 248*T1^7*T2^5 - 776*T1^8*T2^5 + 349*T1^9*T2^5 - 
      18*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 162*T1^2*T2^6 + 
      393*T1^3*T2^6 - 1989*T1^4*T2^6 + 2473*T1^5*T2^6 - 504*T1^6*T2^6 - 
      2297*T1^7*T2^6 + 1377*T1^8*T2^6 - 273*T1^9*T2^6 - 162*T1^10*T2^6 + 
      54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 18*T1^2*T2^7 - 
      371*T1^3*T2^7 + 790*T1^4*T2^7 + 248*T1^5*T2^7 - 2297*T1^6*T2^7 + 
      3583*T1^7*T2^7 - 877*T1^8*T2^7 - 425*T1^9*T2^7 + 484*T1^10*T2^7 - 
      72*T1^11*T2^7 - 18*T1^12*T2^7 - 15*T1^2*T2^8 + 91*T1^3*T2^8 - 
      776*T1^5*T2^8 + 1377*T1^6*T2^8 - 877*T1^7*T2^8 - 1563*T1^8*T2^8 + 
      1492*T1^9*T2^8 - 612*T1^10*T2^8 - 17*T1^11*T2^8 + 45*T1^12*T2^8 - 
      89*T1^4*T2^9 + 349*T1^5*T2^9 - 273*T1^6*T2^9 - 425*T1^7*T2^9 + 
      1492*T1^8*T2^9 - 777*T1^9*T2^9 + 34*T1^10*T2^9 + 199*T1^11*T2^9 - 
      63*T1^12*T2^9 + 15*T1^4*T2^10 - 18*T1^5*T2^10 - 162*T1^6*T2^10 + 
      484*T1^7*T2^10 - 612*T1^8*T2^10 + 34*T1^9*T2^10 + 258*T1^10*T2^10 - 
      198*T1^11*T2^10 + 45*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 
      72*T1^7*T2^11 - 17*T1^8*T2^11 + 199*T1^9*T2^11 - 198*T1^10*T2^11 + 
      96*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 
      45*T1^8*T2^12 - 63*T1^9*T2^12 + 45*T1^10*T2^12 - 18*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 435] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 39*T1^2 + 51*T1^3 - 39*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 163*T1^2*T2 - 150*T1^3*T2 + 30*T1^4*T2 + 49*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 39*T2^2 + 163*T1*T2^2 - 100*T1^2*T2^2 - 
      182*T1^3*T2^2 + 524*T1^4*T2^2 - 468*T1^5*T2^2 + 212*T1^6*T2^2 + 
      7*T1^7*T2^2 - 13*T1^8*T2^2 + 51*T2^3 - 150*T1*T2^3 - 182*T1^2*T2^3 + 
      727*T1^3*T2^3 - 973*T1^4*T2^3 + 398*T1^5*T2^3 + 163*T1^6*T2^3 - 
      299*T1^7*T2^3 + 78*T1^8*T2^3 - 39*T2^4 + 30*T1*T2^4 + 524*T1^2*T2^4 - 
      973*T1^3*T2^4 + 460*T1^4*T2^4 + 764*T1^5*T2^4 - 1160*T1^6*T2^4 + 
      591*T1^7*T2^4 - 24*T1^8*T2^4 - 78*T1^9*T2^4 + 13*T1^10*T2^4 + 18*T2^5 + 
      49*T1*T2^5 - 468*T1^2*T2^5 + 398*T1^3*T2^5 + 764*T1^4*T2^5 - 
      1511*T1^5*T2^5 + 883*T1^6*T2^5 + 387*T1^7*T2^5 - 587*T1^8*T2^5 + 
      325*T1^9*T2^5 - 5*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      212*T1^2*T2^6 + 163*T1^3*T2^6 - 1160*T1^4*T2^6 + 883*T1^5*T2^6 + 
      180*T1^6*T2^6 - 1143*T1^7*T2^6 + 526*T1^8*T2^6 - 95*T1^9*T2^6 - 
      236*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      7*T1^2*T2^7 - 299*T1^3*T2^7 + 591*T1^4*T2^7 + 387*T1^5*T2^7 - 
      1143*T1^6*T2^7 + 1251*T1^7*T2^7 + 10*T1^8*T2^7 - 394*T1^9*T2^7 + 
      494*T1^10*T2^7 - 47*T1^11*T2^7 - 18*T1^12*T2^7 - 13*T1^2*T2^8 + 
      78*T1^3*T2^8 - 24*T1^4*T2^8 - 587*T1^5*T2^8 + 526*T1^6*T2^8 + 
      10*T1^7*T2^8 - 1094*T1^8*T2^8 + 977*T1^9*T2^8 - 572*T1^10*T2^8 - 
      30*T1^11*T2^8 + 39*T1^12*T2^8 - 78*T1^4*T2^9 + 325*T1^5*T2^9 - 
      95*T1^6*T2^9 - 394*T1^7*T2^9 + 977*T1^8*T2^9 - 659*T1^9*T2^9 + 
      208*T1^10*T2^9 + 150*T1^11*T2^9 - 51*T1^12*T2^9 + 13*T1^4*T2^10 - 
      5*T1^5*T2^10 - 236*T1^6*T2^10 + 494*T1^7*T2^10 - 572*T1^8*T2^10 + 
      208*T1^9*T2^10 + 76*T1^10*T2^10 - 161*T1^11*T2^10 + 39*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 47*T1^7*T2^11 - 30*T1^8*T2^11 + 
      150*T1^9*T2^11 - 161*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 39*T1^8*T2^12 - 51*T1^9*T2^12 + 
      39*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 436] -> 
  {-((1 - 5*T + 6*T^2 - 5*T^3 + 6*T^4 - 5*T^5 + T^6)/T^3), 
   -((-1 + 5*T1 - 6*T1^2 + 5*T1^3 - 6*T1^4 + 5*T1^5 - T1^6 + 5*T2 - 
      25*T1*T2 + 30*T1^2*T2 - 25*T1^3*T2 + 30*T1^4*T2 - 25*T1^5*T2 + 
      5*T1^6*T2 - 6*T2^2 + 30*T1*T2^2 - 16*T1^2*T2^2 - 30*T1^3*T2^2 + 
      36*T1^4*T2^2 - 30*T1^5*T2^2 + 44*T1^6*T2^2 - 30*T1^7*T2^2 + 
      6*T1^8*T2^2 + 5*T2^3 - 25*T1*T2^3 - 30*T1^2*T2^3 + 147*T1^3*T2^3 - 
      114*T1^4*T2^3 + 51*T1^5*T2^3 - 93*T1^6*T2^3 + 60*T1^7*T2^3 + 
      20*T1^8*T2^3 - 10*T1^9*T2^3 - 6*T2^4 + 30*T1*T2^4 + 36*T1^2*T2^4 - 
      114*T1^3*T2^4 + 40*T1^4*T2^4 - 90*T1^5*T2^4 + 160*T1^6*T2^4 + 
      16*T1^7*T2^4 - 70*T1^8*T2^4 - 40*T1^9*T2^4 + 18*T1^10*T2^4 + 5*T2^5 - 
      25*T1*T2^5 - 30*T1^2*T2^5 + 51*T1^3*T2^5 - 90*T1^4*T2^5 + 
      307*T1^5*T2^5 - 203*T1^6*T2^5 - 30*T1^7*T2^5 - 184*T1^8*T2^5 + 
      240*T1^9*T2^5 + 10*T1^10*T2^5 - 20*T1^11*T2^5 - T2^6 + 5*T1*T2^6 + 
      44*T1^2*T2^6 - 93*T1^3*T2^6 + 160*T1^4*T2^6 - 203*T1^5*T2^6 - 
      168*T1^6*T2^6 + 267*T1^7*T2^6 + 56*T1^8*T2^6 + 117*T1^9*T2^6 - 
      348*T1^10*T2^6 + 75*T1^11*T2^6 + 5*T1^12*T2^6 - 30*T1^2*T2^7 + 
      60*T1^3*T2^7 + 16*T1^4*T2^7 - 30*T1^5*T2^7 + 267*T1^6*T2^7 - 
      243*T1^7*T2^7 + 30*T1^8*T2^7 - 219*T1^9*T2^7 + 330*T1^10*T2^7 + 
      5*T1^11*T2^7 - 25*T1^12*T2^7 + 6*T1^2*T2^8 + 20*T1^3*T2^8 - 
      70*T1^4*T2^8 - 184*T1^5*T2^8 + 56*T1^6*T2^8 + 30*T1^7*T2^8 + 
      176*T1^8*T2^8 - 54*T1^9*T2^8 - 176*T1^10*T2^8 - 50*T1^11*T2^8 + 
      30*T1^12*T2^8 - 10*T1^3*T2^9 - 40*T1^4*T2^9 + 240*T1^5*T2^9 + 
      117*T1^6*T2^9 - 219*T1^7*T2^9 - 54*T1^8*T2^9 - 123*T1^9*T2^9 + 
      330*T1^10*T2^9 + 5*T1^11*T2^9 - 25*T1^12*T2^9 + 18*T1^4*T2^10 + 
      10*T1^5*T2^10 - 348*T1^6*T2^10 + 330*T1^7*T2^10 - 176*T1^8*T2^10 + 
      330*T1^9*T2^10 - 288*T1^10*T2^10 - 50*T1^11*T2^10 + 30*T1^12*T2^10 - 
      20*T1^5*T2^11 + 75*T1^6*T2^11 + 5*T1^7*T2^11 - 50*T1^8*T2^11 + 
      5*T1^9*T2^11 - 50*T1^10*T2^11 + 105*T1^11*T2^11 - 25*T1^12*T2^11 + 
      5*T1^6*T2^12 - 25*T1^7*T2^12 + 30*T1^8*T2^12 - 25*T1^9*T2^12 + 
      30*T1^10*T2^12 - 25*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 437] -> 
  {(1 + T - 8*T^2 + 13*T^3 - 8*T^4 + T^5 + T^6)/T^3, 
   (-2 - 2*T1 + 16*T1^2 - 26*T1^3 + 16*T1^4 - 2*T1^5 - 2*T1^6 - 2*T2 - 
     17*T1*T2 + 42*T1^2*T2 - 35*T1^3*T2 - 14*T1^4*T2 + 33*T1^5*T2 - 
     17*T1^6*T2 - T1^7*T2 + 16*T2^2 + 42*T1*T2^2 - 178*T1^2*T2^2 + 
     285*T1^3*T2^2 - 204*T1^4*T2^2 + 93*T1^5*T2^2 - 34*T1^6*T2^2 + 
     26*T1^7*T2^2 - 26*T2^3 - 35*T1*T2^3 + 285*T1^2*T2^3 - 553*T1^3*T2^3 + 
     416*T1^4*T2^3 - 103*T1^5*T2^3 - 13*T1^6*T2^3 - 27*T1^7*T2^3 - 
     4*T1^8*T2^3 + 13*T1^9*T2^3 + 16*T2^4 - 14*T1*T2^4 - 204*T1^2*T2^4 + 
     416*T1^3*T2^4 - 69*T1^4*T2^4 - 503*T1^5*T2^4 + 531*T1^6*T2^4 - 
     234*T1^7*T2^4 + 78*T1^8*T2^4 - 20*T1^9*T2^4 - 16*T1^10*T2^4 - 2*T2^5 + 
     33*T1*T2^5 + 93*T1^2*T2^5 - 103*T1^3*T2^5 - 503*T1^4*T2^5 + 
     1141*T1^5*T2^5 - 827*T1^6*T2^5 + 105*T1^7*T2^5 + 154*T1^8*T2^5 - 
     75*T1^9*T2^5 + 14*T1^10*T2^5 + 3*T1^11*T2^5 - 2*T2^6 - 17*T1*T2^6 - 
     34*T1^2*T2^6 - 13*T1^3*T2^6 + 531*T1^4*T2^6 - 827*T1^5*T2^6 + 
     180*T1^6*T2^6 + 679*T1^7*T2^6 - 617*T1^8*T2^6 + 161*T1^9*T2^6 + 
     50*T1^10*T2^6 - 7*T1^11*T2^6 + 4*T1^12*T2^6 - T1*T2^7 + 26*T1^2*T2^7 - 
     27*T1^3*T2^7 - 234*T1^4*T2^7 + 105*T1^5*T2^7 + 679*T1^6*T2^7 - 
     1289*T1^7*T2^7 + 713*T1^8*T2^7 + 23*T1^9*T2^7 - 195*T1^10*T2^7 + 
     7*T1^11*T2^7 + 4*T1^12*T2^7 - 4*T1^3*T2^8 + 78*T1^4*T2^8 + 
     154*T1^5*T2^8 - 617*T1^6*T2^8 + 713*T1^7*T2^8 - 17*T1^8*T2^8 - 
     496*T1^9*T2^8 + 360*T1^10*T2^8 - 10*T1^11*T2^8 - 32*T1^12*T2^8 + 
     13*T1^3*T2^9 - 20*T1^4*T2^9 - 75*T1^5*T2^9 + 161*T1^6*T2^9 + 
     23*T1^7*T2^9 - 496*T1^8*T2^9 + 701*T1^9*T2^9 - 387*T1^10*T2^9 + 
     11*T1^11*T2^9 + 52*T1^12*T2^9 - 16*T1^4*T2^10 + 14*T1^5*T2^10 + 
     50*T1^6*T2^10 - 195*T1^7*T2^10 + 360*T1^8*T2^10 - 387*T1^9*T2^10 + 
     194*T1^10*T2^10 - 2*T1^11*T2^10 - 32*T1^12*T2^10 + 3*T1^5*T2^11 - 
     7*T1^6*T2^11 + 7*T1^7*T2^11 - 10*T1^8*T2^11 + 11*T1^9*T2^11 - 
     2*T1^10*T2^11 - 7*T1^11*T2^11 + 4*T1^12*T2^11 + 4*T1^6*T2^12 + 
     4*T1^7*T2^12 - 32*T1^8*T2^12 + 52*T1^9*T2^12 - 32*T1^10*T2^12 + 
     4*T1^11*T2^12 + 4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 438] -> 
  {-(((1 - T + T^2)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^3), 
   -((-5 + 15*T1 - 20*T1^2 + 25*T1^3 - 20*T1^4 + 15*T1^5 - 5*T1^6 + 15*T2 - 
      33*T1*T2 + 24*T1^2*T2 - 26*T1^3*T2 + T1^4*T2 + 3*T1^5*T2 - 21*T1^6*T2 + 
      12*T1^7*T2 - 20*T2^2 + 24*T1*T2^2 + 15*T1^2*T2^2 - 11*T1^3*T2^2 + 
      47*T1^4*T2^2 - 27*T1^5*T2^2 + 39*T1^6*T2^2 - 12*T1^8*T2^2 + 25*T2^3 - 
      26*T1*T2^3 - 11*T1^2*T2^3 - 19*T1^3*T2^3 - 17*T1^4*T2^3 - 
      14*T1^5*T2^3 - 13*T1^6*T2^3 - 23*T1^7*T2^3 + 7*T1^8*T2^3 + 
      10*T1^9*T2^3 - 20*T2^4 + T1*T2^4 + 47*T1^2*T2^4 - 17*T1^3*T2^4 + 
      57*T1^4*T2^4 - 17*T1^5*T2^4 + 45*T1^6*T2^4 - 7*T1^7*T2^4 + 
      21*T1^8*T2^4 - 17*T1^9*T2^4 - 4*T1^10*T2^4 + 15*T2^5 + 3*T1*T2^5 - 
      27*T1^2*T2^5 - 14*T1^3*T2^5 - 17*T1^4*T2^5 - 11*T1^5*T2^5 - 
      23*T1^6*T2^5 - T1^7*T2^5 - 3*T1^8*T2^5 + T1^9*T2^5 + 12*T1^10*T2^5 - 
      5*T2^6 - 21*T1*T2^6 + 39*T1^2*T2^6 - 13*T1^3*T2^6 + 45*T1^4*T2^6 - 
      23*T1^5*T2^6 + 24*T1^6*T2^6 + 3*T1^7*T2^6 - 15*T1^8*T2^6 + 
      5*T1^9*T2^6 - 13*T1^10*T2^6 - 3*T1^11*T2^6 + T1^12*T2^6 + 12*T1*T2^7 - 
      23*T1^3*T2^7 - 7*T1^4*T2^7 - T1^5*T2^7 + 3*T1^6*T2^7 - 9*T1^7*T2^7 + 
      15*T1^8*T2^7 + 4*T1^9*T2^7 + 5*T1^10*T2^7 + 9*T1^11*T2^7 - 
      3*T1^12*T2^7 - 12*T1^2*T2^8 + 7*T1^3*T2^8 + 21*T1^4*T2^8 - 
      3*T1^5*T2^8 - 15*T1^6*T2^8 + 15*T1^7*T2^8 - 27*T1^8*T2^8 + 
      7*T1^9*T2^8 - 5*T1^10*T2^8 - 11*T1^11*T2^8 + 4*T1^12*T2^8 + 
      10*T1^3*T2^9 - 17*T1^4*T2^9 + T1^5*T2^9 + 5*T1^6*T2^9 + 4*T1^7*T2^9 + 
      7*T1^8*T2^9 + 11*T1^9*T2^9 - 11*T1^10*T2^9 + 16*T1^11*T2^9 - 
      5*T1^12*T2^9 - 4*T1^4*T2^10 + 12*T1^5*T2^10 - 13*T1^6*T2^10 + 
      5*T1^7*T2^10 - 5*T1^8*T2^10 - 11*T1^9*T2^10 + 11*T1^10*T2^10 - 
      12*T1^11*T2^10 + 4*T1^12*T2^10 - 3*T1^6*T2^11 + 9*T1^7*T2^11 - 
      11*T1^8*T2^11 + 16*T1^9*T2^11 - 12*T1^10*T2^11 + 9*T1^11*T2^11 - 
      3*T1^12*T2^11 + T1^6*T2^12 - 3*T1^7*T2^12 + 4*T1^8*T2^12 - 
      5*T1^9*T2^12 + 4*T1^10*T2^12 - 3*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 439] -> 
  {((1 - T + T^2)*(1 - T^2 + T^4))/T^3, 
   (-2 + 2*T1 - 2*T1^3 + 2*T1^5 - 2*T1^6 + 2*T2 - 3*T1*T2 + T1^2*T2 + 
     T1^3*T2 - T1^6*T2 + T1^7*T2 + T1*T2^2 + 3*T1^2*T2^2 - T1^3*T2^2 - 
     T1^4*T2^2 - T1^5*T2^2 + 3*T1^6*T2^2 + T1^7*T2^2 - 2*T2^3 + T1*T2^3 - 
     T1^2*T2^3 + T1^3*T2^3 - 2*T1^4*T2^3 + T1^5*T2^3 + T1^6*T2^3 - 
     T1^7*T2^3 - 2*T1^8*T2^3 + T1^9*T2^3 - T1^2*T2^4 - 2*T1^3*T2^4 - 
     5*T1^4*T2^4 + 9*T1^5*T2^4 - 9*T1^6*T2^4 + T1^8*T2^4 - 2*T1^9*T2^4 + 
     2*T2^5 - T1^2*T2^5 + T1^3*T2^5 + 9*T1^4*T2^5 - 9*T1^5*T2^5 + T1^6*T2^5 + 
     9*T1^7*T2^5 - 4*T1^8*T2^5 - T1^9*T2^5 + 5*T1^10*T2^5 - 3*T1^11*T2^5 - 
     2*T2^6 - T1*T2^6 + 3*T1^2*T2^6 + T1^3*T2^6 - 9*T1^4*T2^6 + T1^5*T2^6 + 
     12*T1^6*T2^6 - 9*T1^7*T2^6 - 5*T1^8*T2^6 + 7*T1^9*T2^6 - T1^10*T2^6 - 
     3*T1^11*T2^6 + 4*T1^12*T2^6 + T1*T2^7 + T1^2*T2^7 - T1^3*T2^7 + 
     9*T1^5*T2^7 - 9*T1^6*T2^7 + T1^7*T2^7 + 9*T1^8*T2^7 - 5*T1^9*T2^7 - 
     T1^10*T2^7 + 6*T1^11*T2^7 - 4*T1^12*T2^7 - 2*T1^3*T2^8 + T1^4*T2^8 - 
     4*T1^5*T2^8 - 5*T1^6*T2^8 + 9*T1^7*T2^8 - 9*T1^8*T2^8 - 2*T1^9*T2^8 + 
     3*T1^10*T2^8 - 4*T1^11*T2^8 + T1^3*T2^9 - 2*T1^4*T2^9 - T1^5*T2^9 + 
     7*T1^6*T2^9 - 5*T1^7*T2^9 - 2*T1^8*T2^9 + 7*T1^9*T2^9 - T1^10*T2^9 - 
     5*T1^11*T2^9 + 4*T1^12*T2^9 + 5*T1^5*T2^10 - T1^6*T2^10 - T1^7*T2^10 + 
     3*T1^8*T2^10 - T1^9*T2^10 - T1^10*T2^10 + 5*T1^11*T2^10 - 3*T1^5*T2^11 - 
     3*T1^6*T2^11 + 6*T1^7*T2^11 - 4*T1^8*T2^11 - 5*T1^9*T2^11 + 
     5*T1^10*T2^11 - T1^11*T2^11 - 4*T1^12*T2^11 + 4*T1^6*T2^12 - 
     4*T1^7*T2^12 + 4*T1^9*T2^12 - 4*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 440] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -(((1 - T1 + T1^2)^2*(1 - T2 + T2^2)^2*(1 - T1*T2 + T1^2*T2^2)*
      (-23 + 57*T1 - 23*T1^2 + 57*T2 - 97*T1*T2 - 51*T1^2*T2 + 44*T1^3*T2 - 
       23*T2^2 - 51*T1*T2^2 + 247*T1^2*T2^2 - 123*T1^3*T2^2 + 5*T1^4*T2^2 + 
       44*T1*T2^3 - 123*T1^2*T2^3 + 36*T1^3*T2^3 + 117*T1^4*T2^3 - 
       52*T1^5*T2^3 + 5*T1^2*T2^4 + 117*T1^3*T2^4 - 305*T1^4*T2^4 + 
       69*T1^5*T2^4 + 25*T1^6*T2^4 - 52*T1^3*T2^5 + 69*T1^4*T2^5 + 
       107*T1^5*T2^5 - 63*T1^6*T2^5 + 25*T1^4*T2^6 - 63*T1^5*T2^6 + 
       25*T1^6*T2^6))/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 441] -> 
  {-(((1 - T + T^2)*(1 - 8*T + 13*T^2 - 8*T^3 + T^4))/T^3), 
   -((-5 + 45*T1 - 110*T1^2 + 145*T1^3 - 110*T1^4 + 45*T1^5 - 5*T1^6 + 
      45*T2 - 381*T1*T2 + 680*T1^2*T2 - 520*T1^3*T2 - 61*T1^4*T2 + 
      401*T1^5*T2 - 291*T1^6*T2 + 36*T1^7*T2 - 110*T2^2 + 680*T1*T2^2 + 
      514*T1^2*T2^2 - 3519*T1^3*T2^2 + 5748*T1^4*T2^2 - 4399*T1^5*T2^2 + 
      1438*T1^6*T2^2 + 284*T1^7*T2^2 - 66*T1^8*T2^2 + 145*T2^3 - 
      520*T1*T2^3 - 3519*T1^2*T2^3 + 8087*T1^3*T2^3 - 7314*T1^4*T2^3 + 
      87*T1^5*T2^3 + 4559*T1^6*T2^3 - 3453*T1^7*T2^3 + 65*T1^8*T2^3 + 
      58*T1^9*T2^3 - 110*T2^4 - 61*T1*T2^4 + 5748*T1^2*T2^4 - 
      7314*T1^3*T2^4 + 586*T1^4*T2^4 + 8980*T1^5*T2^4 - 8006*T1^6*T2^4 + 
      1096*T1^7*T2^4 + 2986*T1^8*T2^4 - 331*T1^9*T2^4 - 22*T1^10*T2^4 + 
      45*T2^5 + 401*T1*T2^5 - 4399*T1^2*T2^5 + 87*T1^3*T2^5 + 
      8980*T1^4*T2^5 - 12357*T1^5*T2^5 + 2217*T1^6*T2^5 + 6032*T1^7*T2^5 - 
      5296*T1^8*T2^5 - 681*T1^9*T2^5 + 212*T1^10*T2^5 - 5*T2^6 - 
      291*T1*T2^6 + 1438*T1^2*T2^6 + 4559*T1^3*T2^6 - 8006*T1^4*T2^6 + 
      2217*T1^5*T2^6 + 9540*T1^6*T2^6 - 10393*T1^7*T2^6 + 3058*T1^8*T2^6 + 
      2801*T1^9*T2^6 - 378*T1^10*T2^6 - 21*T1^11*T2^6 + T1^12*T2^6 + 
      36*T1*T2^7 + 284*T1^2*T2^7 - 3453*T1^3*T2^7 + 1096*T1^4*T2^7 + 
      6032*T1^5*T2^7 - 10393*T1^6*T2^7 + 4181*T1^7*T2^7 + 3084*T1^8*T2^7 - 
      4287*T1^9*T2^7 + 265*T1^10*T2^7 + 95*T1^11*T2^7 - 9*T1^12*T2^7 - 
      66*T1^2*T2^8 + 65*T1^3*T2^8 + 2986*T1^4*T2^8 - 5296*T1^5*T2^8 + 
      3058*T1^6*T2^8 + 3084*T1^7*T2^8 - 5534*T1^8*T2^8 + 3114*T1^9*T2^8 + 
      224*T1^10*T2^8 - 205*T1^11*T2^8 + 22*T1^12*T2^8 + 58*T1^3*T2^9 - 
      331*T1^4*T2^9 - 681*T1^5*T2^9 + 2801*T1^6*T2^9 - 4287*T1^7*T2^9 + 
      3114*T1^8*T2^9 - 727*T1^9*T2^9 - 615*T1^10*T2^9 + 254*T1^11*T2^9 - 
      29*T1^12*T2^9 - 22*T1^4*T2^10 + 212*T1^5*T2^10 - 378*T1^6*T2^10 + 
      265*T1^7*T2^10 + 224*T1^8*T2^10 - 615*T1^9*T2^10 + 546*T1^10*T2^10 - 
      184*T1^11*T2^10 + 22*T1^12*T2^10 - 21*T1^6*T2^11 + 95*T1^7*T2^11 - 
      205*T1^8*T2^11 + 254*T1^9*T2^11 - 184*T1^10*T2^11 + 69*T1^11*T2^11 - 
      9*T1^12*T2^11 + T1^6*T2^12 - 9*T1^7*T2^12 + 22*T1^8*T2^12 - 
      29*T1^9*T2^12 + 22*T1^10*T2^12 - 9*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 442] -> 
  {-(((1 - T + T^2)*(3 - 7*T + 3*T^2))/T^2), 
   (-2*(-42 + 139*T1 - 179*T1^2 + 139*T1^3 - 42*T1^4 + 139*T2 - 371*T1*T2 + 
      291*T1^2*T2 - 54*T1^3*T2 - 176*T1^4*T2 + 94*T1^5*T2 - 179*T2^2 + 
      291*T1*T2^2 + 206*T1^2*T2^2 - 598*T1^3*T2^2 + 596*T1^4*T2^2 - 
      99*T1^5*T2^2 - 62*T1^6*T2^2 + 139*T2^3 - 54*T1*T2^3 - 598*T1^2*T2^3 + 
      702*T1^3*T2^3 - 208*T1^4*T2^3 - 338*T1^5*T2^3 + 201*T1^6*T2^3 + 
      4*T1^7*T2^3 - 42*T2^4 - 176*T1*T2^4 + 596*T1^2*T2^4 - 208*T1^3*T2^4 - 
      504*T1^4*T2^4 + 612*T1^5*T2^4 - 170*T1^6*T2^4 - 56*T1^7*T2^4 + 
      12*T1^8*T2^4 + 94*T1*T2^5 - 99*T1^2*T2^5 - 338*T1^3*T2^5 + 
      612*T1^4*T2^5 - 298*T1^5*T2^5 - 78*T1^6*T2^5 + 156*T1^7*T2^5 - 
      41*T1^8*T2^5 - 62*T1^2*T2^6 + 201*T1^3*T2^6 - 170*T1^4*T2^6 - 
      78*T1^5*T2^6 + 220*T1^6*T2^6 - 189*T1^7*T2^6 + 55*T1^8*T2^6 + 
      4*T1^3*T2^7 - 56*T1^4*T2^7 + 156*T1^5*T2^7 - 189*T1^6*T2^7 + 
      139*T1^7*T2^7 - 41*T1^8*T2^7 + 12*T1^4*T2^8 - 41*T1^5*T2^8 + 
      55*T1^6*T2^8 - 41*T1^7*T2^8 + 12*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 443] -> {((1 - T + T^2)*(3 - 5*T + 3*T^2))/T^2, 
   (-57 + 150*T1 - 205*T1^2 + 150*T1^3 - 57*T1^4 + 150*T2 - 324*T1*T2 + 
     341*T1^2*T2 - 115*T1^3*T2 - 60*T1^4*T2 + 78*T1^5*T2 - 205*T2^2 + 
     341*T1*T2^2 - 121*T1^2*T2^2 - 321*T1^3*T2^2 + 407*T1^4*T2^2 - 
     187*T1^5*T2^2 - 7*T1^6*T2^2 + 150*T2^3 - 115*T1*T2^3 - 321*T1^2*T2^3 + 
     592*T1^3*T2^3 - 288*T1^4*T2^3 - 145*T1^5*T2^3 + 197*T1^6*T2^3 - 
     66*T1^7*T2^3 - 57*T2^4 - 60*T1*T2^4 + 407*T1^2*T2^4 - 288*T1^3*T2^4 - 
     168*T1^4*T2^4 + 448*T1^5*T2^4 - 221*T1^6*T2^4 + 36*T1^7*T2^4 + 
     51*T1^8*T2^4 + 78*T1*T2^5 - 187*T1^2*T2^5 - 145*T1^3*T2^5 + 
     448*T1^4*T2^5 - 432*T1^5*T2^5 + 31*T1^6*T2^5 + 125*T1^7*T2^5 - 
     138*T1^8*T2^5 - 7*T1^2*T2^6 + 197*T1^3*T2^6 - 221*T1^4*T2^6 + 
     31*T1^5*T2^6 + 307*T1^6*T2^6 - 331*T1^7*T2^6 + 191*T1^8*T2^6 - 
     66*T1^3*T2^7 + 36*T1^4*T2^7 + 125*T1^5*T2^7 - 331*T1^6*T2^7 + 
     300*T1^7*T2^7 - 138*T1^8*T2^7 + 51*T1^4*T2^8 - 138*T1^5*T2^8 + 
     191*T1^6*T2^8 - 138*T1^7*T2^8 + 51*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 444] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((-21 + 71*T1 - 91*T1^2 + 71*T1^3 - 21*T1^4 + 71*T2 - 196*T1*T2 + 
      166*T1^2*T2 - 58*T1^3*T2 - 70*T1^4*T2 + 43*T1^5*T2 - 91*T2^2 + 
      166*T1*T2^2 + 47*T1^2*T2^2 - 239*T1^3*T2^2 + 299*T1^4*T2^2 - 
      86*T1^5*T2^2 - 19*T1^6*T2^2 + 71*T2^3 - 58*T1*T2^3 - 239*T1^2*T2^3 + 
      385*T1^3*T2^3 - 245*T1^4*T2^3 - 50*T1^5*T2^3 + 110*T1^6*T2^3 - 
      13*T1^7*T2^3 - 21*T2^4 - 70*T1*T2^4 + 299*T1^2*T2^4 - 245*T1^3*T2^4 - 
      132*T1^4*T2^4 + 329*T1^5*T2^4 - 243*T1^6*T2^4 + 14*T1^7*T2^4 + 
      11*T1^8*T2^4 + 43*T1*T2^5 - 86*T1^2*T2^5 - 50*T1^3*T2^5 + 
      329*T1^4*T2^5 - 301*T1^5*T2^5 + 139*T1^6*T2^5 + 82*T1^7*T2^5 - 
      41*T1^8*T2^5 - 19*T1^2*T2^6 + 110*T1^3*T2^6 - 243*T1^4*T2^6 + 
      139*T1^5*T2^6 + 9*T1^6*T2^6 - 142*T1^7*T2^6 + 53*T1^8*T2^6 - 
      13*T1^3*T2^7 + 14*T1^4*T2^7 + 82*T1^5*T2^7 - 142*T1^6*T2^7 + 
      140*T1^7*T2^7 - 41*T1^8*T2^7 + 11*T1^4*T2^8 - 41*T1^5*T2^8 + 
      53*T1^6*T2^8 - 41*T1^7*T2^8 + 11*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 445] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((-41 + 264*T1 - 604*T1^2 + 783*T1^3 - 604*T1^4 + 264*T1^5 - 41*T1^6 + 
      264*T2 - 1490*T1*T2 + 2537*T1^2*T2 - 1939*T1^3*T2 - 145*T1^4*T2 + 
      1419*T1^5*T2 - 1100*T1^6*T2 + 212*T1^7*T2 - 604*T2^2 + 2537*T1*T2^2 - 
      616*T1^2*T2^2 - 5945*T1^3*T2^2 + 11498*T1^4*T2^2 - 9065*T1^5*T2^2 + 
      2744*T1^6*T2^2 + 977*T1^7*T2^2 - 364*T1^8*T2^2 + 783*T2^3 - 
      1939*T1*T2^3 - 5945*T1^2*T2^3 + 16022*T1^3*T2^3 - 15656*T1^4*T2^3 + 
      1192*T1^5*T2^3 + 8846*T1^6*T2^3 - 7115*T1^7*T2^3 + 323*T1^8*T2^3 + 
      315*T1^9*T2^3 - 604*T2^4 - 145*T1*T2^4 + 11498*T1^2*T2^4 - 
      15656*T1^3*T2^4 + 2418*T1^4*T2^4 + 17844*T1^5*T2^4 - 17226*T1^6*T2^4 + 
      3376*T1^7*T2^4 + 5516*T1^8*T2^4 - 1237*T1^9*T2^4 - 124*T1^10*T2^4 + 
      264*T2^5 + 1419*T1*T2^5 - 9065*T1^2*T2^5 + 1192*T1^3*T2^5 + 
      17844*T1^4*T2^5 - 26016*T1^5*T2^5 + 6354*T1^6*T2^5 + 11604*T1^7*T2^5 - 
      11288*T1^8*T2^5 - 95*T1^9*T2^5 + 769*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 1100*T1*T2^6 + 2744*T1^2*T2^6 + 8846*T1^3*T2^6 - 
      17226*T1^4*T2^6 + 6354*T1^5*T2^6 + 17892*T1^6*T2^6 - 21830*T1^7*T2^6 + 
      7530*T1^8*T2^6 + 4790*T1^9*T2^6 - 1724*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 212*T1*T2^7 + 977*T1^2*T2^7 - 7115*T1^3*T2^7 + 
      3376*T1^4*T2^7 + 11604*T1^5*T2^7 - 21830*T1^6*T2^7 + 10540*T1^7*T2^7 + 
      5364*T1^8*T2^7 - 9104*T1^9*T2^7 + 1855*T1^10*T2^7 + 327*T1^11*T2^7 - 
      48*T1^12*T2^7 - 364*T1^2*T2^8 + 323*T1^3*T2^8 + 5516*T1^4*T2^8 - 
      11288*T1^5*T2^8 + 7530*T1^6*T2^8 + 5364*T1^7*T2^8 - 12114*T1^8*T2^8 + 
      7744*T1^9*T2^8 - 466*T1^10*T2^8 - 769*T1^11*T2^8 + 116*T1^12*T2^8 + 
      315*T1^3*T2^9 - 1237*T1^4*T2^9 - 95*T1^5*T2^9 + 4790*T1^6*T2^9 - 
      9104*T1^7*T2^9 + 7744*T1^8*T2^9 - 2386*T1^9*T2^9 - 1265*T1^10*T2^9 + 
      1025*T1^11*T2^9 - 153*T1^12*T2^9 - 124*T1^4*T2^10 + 769*T1^5*T2^10 - 
      1724*T1^6*T2^10 + 1855*T1^7*T2^10 - 466*T1^8*T2^10 - 1265*T1^9*T2^10 + 
      1636*T1^10*T2^10 - 791*T1^11*T2^10 + 116*T1^12*T2^10 + 4*T1^5*T2^11 - 
      60*T1^6*T2^11 + 327*T1^7*T2^11 - 769*T1^8*T2^11 + 1025*T1^9*T2^11 - 
      791*T1^10*T2^11 + 330*T1^11*T2^11 - 48*T1^12*T2^11 + 7*T1^6*T2^12 - 
      48*T1^7*T2^12 + 116*T1^8*T2^12 - 153*T1^9*T2^12 + 116*T1^10*T2^12 - 
      48*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 446] -> 
  {-((1 - 2*T - 3*T^2 + 7*T^3 - 3*T^4 - 2*T^5 + T^6)/T^3), 
   -((-5 + 10*T1 + 15*T1^2 - 35*T1^3 + 15*T1^4 + 10*T1^5 - 5*T1^6 + 10*T2 - 
      10*T1*T2 - 54*T1^2*T2 + 51*T1^3*T2 + 31*T1^4*T2 - 52*T1^5*T2 - 
      4*T1^6*T2 + 8*T1^7*T2 + 15*T2^2 - 54*T1*T2^2 + 22*T1^2*T2^2 + 
      138*T1^3*T2^2 - 210*T1^4*T2^2 + 84*T1^5*T2^2 + 46*T1^6*T2^2 - 
      42*T1^7*T2^2 + 9*T1^8*T2^2 - 35*T2^3 + 51*T1*T2^3 + 138*T1^2*T2^3 - 
      239*T1^3*T2^3 + 76*T1^4*T2^3 + 115*T1^5*T2^3 - 119*T1^6*T2^3 + 
      57*T1^7*T2^3 + 15*T1^8*T2^3 - 14*T1^9*T2^3 + 15*T2^4 + 31*T1*T2^4 - 
      210*T1^2*T2^4 + 76*T1^3*T2^4 + 386*T1^4*T2^4 - 526*T1^5*T2^4 + 
      182*T1^6*T2^4 + 104*T1^7*T2^4 - 118*T1^8*T2^4 + 27*T1^9*T2^4 + 
      3*T1^10*T2^4 + 10*T2^5 - 52*T1*T2^5 + 84*T1^2*T2^5 + 115*T1^3*T2^5 - 
      526*T1^4*T2^5 + 391*T1^5*T2^5 + 193*T1^6*T2^5 - 367*T1^7*T2^5 + 
      54*T1^8*T2^5 + 57*T1^9*T2^5 - 14*T1^10*T2^5 - 5*T2^6 - 4*T1*T2^6 + 
      46*T1^2*T2^6 - 119*T1^3*T2^6 + 182*T1^4*T2^6 + 193*T1^5*T2^6 - 
      564*T1^6*T2^6 + 279*T1^7*T2^6 + 204*T1^8*T2^6 - 161*T1^9*T2^6 + 
      14*T1^10*T2^6 + T1^12*T2^6 + 8*T1*T2^7 - 42*T1^2*T2^7 + 57*T1^3*T2^7 + 
      104*T1^4*T2^7 - 367*T1^5*T2^7 + 279*T1^6*T2^7 + 81*T1^7*T2^7 - 
      208*T1^8*T2^7 + 43*T1^9*T2^7 + 30*T1^10*T2^7 - 4*T1^11*T2^7 - 
      2*T1^12*T2^7 + 9*T1^2*T2^8 + 15*T1^3*T2^8 - 118*T1^4*T2^8 + 
      54*T1^5*T2^8 + 204*T1^6*T2^8 - 208*T1^7*T2^8 + 82*T1^9*T2^8 - 
      26*T1^10*T2^8 + 11*T1^11*T2^8 - 3*T1^12*T2^8 - 14*T1^3*T2^9 + 
      27*T1^4*T2^9 + 57*T1^5*T2^9 - 161*T1^6*T2^9 + 43*T1^7*T2^9 + 
      82*T1^8*T2^9 - 41*T1^9*T2^9 - 24*T1^10*T2^9 - 9*T1^11*T2^9 + 
      7*T1^12*T2^9 + 3*T1^4*T2^10 - 14*T1^5*T2^10 + 14*T1^6*T2^10 + 
      30*T1^7*T2^10 - 26*T1^8*T2^10 - 24*T1^9*T2^10 + 38*T1^10*T2^10 - 
      2*T1^11*T2^10 - 3*T1^12*T2^10 - 4*T1^7*T2^11 + 11*T1^8*T2^11 - 
      9*T1^9*T2^11 - 2*T1^10*T2^11 + 6*T1^11*T2^11 - 2*T1^12*T2^11 + 
      T1^6*T2^12 - 2*T1^7*T2^12 - 3*T1^8*T2^12 + 7*T1^9*T2^12 - 
      3*T1^10*T2^12 - 2*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 447] -> 
  {-((2 - 8*T + 16*T^2 - 21*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-23 + 91*T1 - 181*T1^2 + 237*T1^3 - 181*T1^4 + 91*T1^5 - 23*T1^6 + 
      91*T2 - 302*T1*T2 + 486*T1^2*T2 - 478*T1^3*T2 + 114*T1^4*T2 + 
      102*T1^5*T2 - 142*T1^6*T2 + 59*T1^7*T2 - 181*T2^2 + 486*T1*T2^2 - 
      562*T1^2*T2^2 + 246*T1^3*T2^2 + 554*T1^4*T2^2 - 586*T1^5*T2^2 + 
      334*T1^6*T2^2 - 26*T1^7*T2^2 - 53*T1^8*T2^2 + 237*T2^3 - 478*T1*T2^3 + 
      246*T1^2*T2^3 + 362*T1^3*T2^3 - 1214*T1^4*T2^3 + 498*T1^5*T2^3 + 
      188*T1^6*T2^3 - 490*T1^7*T2^3 + 274*T1^8*T2^3 - 15*T1^9*T2^3 - 
      181*T2^4 + 114*T1*T2^4 + 554*T1^2*T2^4 - 1214*T1^3*T2^4 + 
      1442*T1^4*T2^4 + 302*T1^5*T2^4 - 1134*T1^6*T2^4 + 802*T1^7*T2^4 - 
      86*T1^8*T2^4 - 238*T1^9*T2^4 + 75*T1^10*T2^4 + 91*T2^5 + 102*T1*T2^5 - 
      586*T1^2*T2^5 + 498*T1^3*T2^5 + 302*T1^4*T2^5 - 2108*T1^5*T2^5 + 
      1908*T1^6*T2^5 - 210*T1^7*T2^5 - 606*T1^8*T2^5 + 534*T1^9*T2^5 - 
      26*T1^10*T2^5 - 69*T1^11*T2^5 - 23*T2^6 - 142*T1*T2^6 + 334*T1^2*T2^6 + 
      188*T1^3*T2^6 - 1134*T1^4*T2^6 + 1908*T1^5*T2^6 - 744*T1^6*T2^6 - 
      1356*T1^7*T2^6 + 1042*T1^8*T2^6 - 316*T1^9*T2^6 - 306*T1^10*T2^6 + 
      178*T1^11*T2^6 + 25*T1^12*T2^6 + 59*T1*T2^7 - 26*T1^2*T2^7 - 
      490*T1^3*T2^7 + 802*T1^4*T2^7 - 210*T1^5*T2^7 - 1356*T1^6*T2^7 + 
      2660*T1^7*T2^7 - 722*T1^8*T2^7 - 302*T1^9*T2^7 + 630*T1^10*T2^7 - 
      154*T1^11*T2^7 - 101*T1^12*T2^7 - 53*T1^2*T2^8 + 274*T1^3*T2^8 - 
      86*T1^4*T2^8 - 606*T1^5*T2^8 + 1042*T1^6*T2^8 - 722*T1^7*T2^8 - 
      1534*T1^8*T2^8 + 1410*T1^9*T2^8 - 726*T1^10*T2^8 - 78*T1^11*T2^8 + 
      203*T1^12*T2^8 - 15*T1^3*T2^9 - 238*T1^4*T2^9 + 534*T1^5*T2^9 - 
      316*T1^6*T2^9 - 302*T1^7*T2^9 + 1410*T1^8*T2^9 - 490*T1^9*T2^9 - 
      202*T1^10*T2^9 + 514*T1^11*T2^9 - 267*T1^12*T2^9 + 75*T1^4*T2^10 - 
      26*T1^5*T2^10 - 306*T1^6*T2^10 + 630*T1^7*T2^10 - 726*T1^8*T2^10 - 
      202*T1^9*T2^10 + 590*T1^10*T2^10 - 538*T1^11*T2^10 + 203*T1^12*T2^10 - 
      69*T1^5*T2^11 + 178*T1^6*T2^11 - 154*T1^7*T2^11 - 78*T1^8*T2^11 + 
      514*T1^9*T2^11 - 538*T1^10*T2^11 + 338*T1^11*T2^11 - 101*T1^12*T2^11 + 
      25*T1^6*T2^12 - 101*T1^7*T2^12 + 203*T1^8*T2^12 - 267*T1^9*T2^12 + 
      203*T1^10*T2^12 - 101*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 448] -> 
  {(1 - 6*T + 14*T^2 - 21*T^3 + 25*T^4 - 21*T^5 + 14*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 56*T1^2 + 84*T1^3 - 100*T1^4 + 84*T1^5 - 56*T1^6 + 24*T1^7 - 
     4*T1^8 + 24*T2 - 126*T1*T2 + 228*T1^2*T2 - 252*T1^3*T2 + 222*T1^4*T2 - 
     54*T1^5*T2 - 42*T1^6*T2 + 108*T1^7*T2 - 84*T1^8*T2 + 18*T1^9*T2 - 
     56*T2^2 + 228*T1*T2^2 - 165*T1^2*T2^2 - 162*T1^3*T2^2 + 464*T1^4*T2^2 - 
     923*T1^5*T2^2 + 772*T1^6*T2^2 - 582*T1^7*T2^2 + 199*T1^8*T2^2 + 
     60*T1^9*T2^2 - 28*T1^10*T2^2 + 84*T2^3 - 252*T1*T2^3 - 162*T1^2*T2^3 + 
     757*T1^3*T2^3 - 954*T1^4*T2^3 + 1306*T1^5*T2^3 - 353*T1^6*T2^3 + 
     33*T1^7*T2^3 + 463*T1^8*T2^3 - 456*T1^9*T2^3 + 42*T1^10*T2^3 + 
     21*T1^11*T2^3 - 100*T2^4 + 222*T1*T2^4 + 464*T1^2*T2^4 - 954*T1^3*T2^4 + 
     734*T1^4*T2^4 - 843*T1^5*T2^4 - 738*T1^6*T2^4 + 429*T1^7*T2^4 - 
     646*T1^8*T2^4 + 222*T1^9*T2^4 + 352*T1^10*T2^4 - 126*T1^11*T2^4 + 
     84*T2^5 - 54*T1*T2^5 - 923*T1^2*T2^5 + 1306*T1^3*T2^5 - 843*T1^4*T2^5 + 
     937*T1^5*T2^5 + 563*T1^6*T2^5 + 689*T1^7*T2^5 - 413*T1^8*T2^5 + 
     552*T1^9*T2^5 - 731*T1^10*T2^5 + 13*T1^11*T2^5 + 126*T1^12*T2^5 - 
     21*T1^13*T2^5 - 56*T2^6 - 42*T1*T2^6 + 772*T1^2*T2^6 - 353*T1^3*T2^6 - 
     738*T1^4*T2^6 + 563*T1^5*T2^6 - 1291*T1^6*T2^6 - 519*T1^7*T2^6 - 
     59*T1^8*T2^6 + 395*T1^9*T2^6 - 122*T1^10*T2^6 + 739*T1^11*T2^6 - 
     376*T1^12*T2^6 - 42*T1^13*T2^6 + 28*T1^14*T2^6 + 24*T2^7 + 108*T1*T2^7 - 
     582*T1^2*T2^7 + 33*T1^3*T2^7 + 429*T1^4*T2^7 + 689*T1^5*T2^7 - 
     519*T1^6*T2^7 + 1353*T1^7*T2^7 - 33*T1^8*T2^7 - 834*T1^9*T2^7 - 
     25*T1^10*T2^7 - 474*T1^11*T2^7 - 198*T1^12*T2^7 + 468*T1^13*T2^7 - 
     60*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 + 199*T1^2*T2^8 + 
     463*T1^3*T2^8 - 646*T1^4*T2^8 - 413*T1^5*T2^8 - 59*T1^6*T2^8 - 
     33*T1^7*T2^8 - 456*T1^8*T2^8 + 669*T1^9*T2^8 + 1103*T1^10*T2^8 - 
     179*T1^11*T2^8 + 702*T1^12*T2^8 - 503*T1^13*T2^8 - 201*T1^14*T2^8 + 
     84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 60*T1^2*T2^9 - 
     456*T1^3*T2^9 + 222*T1^4*T2^9 + 552*T1^5*T2^9 + 395*T1^6*T2^9 - 
     834*T1^7*T2^9 + 669*T1^8*T2^9 - 717*T1^9*T2^9 - 1149*T1^10*T2^9 - 
     319*T1^11*T2^9 - 351*T1^12*T2^9 - 9*T1^13*T2^9 + 594*T1^14*T2^9 - 
     108*T1^15*T2^9 - 24*T1^16*T2^9 - 28*T1^2*T2^10 + 42*T1^3*T2^10 + 
     352*T1^4*T2^10 - 731*T1^5*T2^10 - 122*T1^6*T2^10 - 25*T1^7*T2^10 + 
     1103*T1^8*T2^10 - 1149*T1^9*T2^10 + 2335*T1^10*T2^10 - 193*T1^11*T2^10 + 
     494*T1^12*T2^10 + 361*T1^13*T2^10 - 796*T1^14*T2^10 + 42*T1^15*T2^10 + 
     56*T1^16*T2^10 + 21*T1^3*T2^11 - 126*T1^4*T2^11 + 13*T1^5*T2^11 + 
     739*T1^6*T2^11 - 474*T1^7*T2^11 - 179*T1^8*T2^11 - 319*T1^9*T2^11 - 
     193*T1^10*T2^11 - 1529*T1^11*T2^11 + 921*T1^12*T2^11 - 
     1298*T1^13*T2^11 + 949*T1^14*T2^11 + 54*T1^15*T2^11 - 84*T1^16*T2^11 + 
     126*T1^5*T2^12 - 376*T1^6*T2^12 - 198*T1^7*T2^12 + 702*T1^8*T2^12 - 
     351*T1^9*T2^12 + 494*T1^10*T2^12 + 921*T1^11*T2^12 - 678*T1^12*T2^12 + 
     978*T1^13*T2^12 - 488*T1^14*T2^12 - 222*T1^15*T2^12 + 100*T1^16*T2^12 - 
     21*T1^5*T2^13 - 42*T1^6*T2^13 + 468*T1^7*T2^13 - 503*T1^8*T2^13 - 
     9*T1^9*T2^13 + 361*T1^10*T2^13 - 1298*T1^11*T2^13 + 978*T1^12*T2^13 - 
     797*T1^13*T2^13 + 174*T1^14*T2^13 + 252*T1^15*T2^13 - 84*T1^16*T2^13 + 
     28*T1^6*T2^14 - 60*T1^7*T2^14 - 201*T1^8*T2^14 + 594*T1^9*T2^14 - 
     796*T1^10*T2^14 + 949*T1^11*T2^14 - 488*T1^12*T2^14 + 174*T1^13*T2^14 + 
     163*T1^14*T2^14 - 228*T1^15*T2^14 + 56*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 108*T1^9*T2^15 + 42*T1^10*T2^15 + 54*T1^11*T2^15 - 
     222*T1^12*T2^15 + 252*T1^13*T2^15 - 228*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 56*T1^10*T2^16 - 
     84*T1^11*T2^16 + 100*T1^12*T2^16 - 84*T1^13*T2^16 + 56*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 449] -> 
  {(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 32*T1^2 + 36*T1^3 - 32*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 80*T1^2*T2 - 48*T1^3*T2 + 20*T1^4*T2 + 32*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 32*T2^2 + 80*T1*T2^2 - 76*T1^2*T2^2 - 
     44*T1^3*T2^2 + 72*T1^4*T2^2 - 124*T1^5*T2^2 + 36*T1^6*T2^2 + 
     16*T1^7*T2^2 - 16*T1^8*T2^2 + 36*T2^3 - 48*T1*T2^3 - 44*T1^2*T2^3 + 
     225*T1^3*T2^3 - 142*T1^4*T2^3 + 78*T1^5*T2^3 + 111*T1^6*T2^3 - 
     100*T1^7*T2^3 + 28*T1^8*T2^3 + 9*T1^9*T2^3 - 32*T2^4 + 20*T1*T2^4 + 
     72*T1^2*T2^4 - 142*T1^3*T2^4 - 138*T1^4*T2^4 + 278*T1^5*T2^4 - 
     274*T1^6*T2^4 + 74*T1^7*T2^4 + 40*T1^8*T2^4 - 36*T1^9*T2^4 + 16*T2^5 + 
     32*T1*T2^5 - 124*T1^2*T2^5 + 78*T1^3*T2^5 + 278*T1^4*T2^5 - 
     278*T1^5*T2^5 - 106*T1^6*T2^5 + 214*T1^7*T2^5 - 150*T1^8*T2^5 + 
     28*T1^9*T2^5 + 16*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 
     36*T1^2*T2^6 + 111*T1^3*T2^6 - 274*T1^4*T2^6 - 106*T1^5*T2^6 + 
     636*T1^6*T2^6 - 322*T1^7*T2^6 + 94*T1^8*T2^6 + 57*T1^9*T2^6 - 
     44*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     16*T1^2*T2^7 - 100*T1^3*T2^7 + 74*T1^4*T2^7 + 214*T1^5*T2^7 - 
     322*T1^6*T2^7 - 150*T1^7*T2^7 + 150*T1^8*T2^7 - 154*T1^9*T2^7 + 
     52*T1^10*T2^7 - 8*T1^12*T2^7 - 16*T1^2*T2^8 + 28*T1^3*T2^8 + 
     40*T1^4*T2^8 - 150*T1^5*T2^8 + 94*T1^6*T2^8 + 150*T1^7*T2^8 - 
     42*T1^8*T2^8 + 66*T1^9*T2^8 + 8*T1^10*T2^8 - 28*T1^11*T2^8 + 
     16*T1^12*T2^8 + 9*T1^3*T2^9 - 36*T1^4*T2^9 + 28*T1^5*T2^9 + 
     57*T1^6*T2^9 - 154*T1^7*T2^9 + 66*T1^8*T2^9 - 57*T1^9*T2^9 - 
     28*T1^10*T2^9 + 40*T1^11*T2^9 - 18*T1^12*T2^9 + 16*T1^5*T2^10 - 
     44*T1^6*T2^10 + 52*T1^7*T2^10 + 8*T1^8*T2^10 - 28*T1^9*T2^10 + 
     68*T1^10*T2^10 - 48*T1^11*T2^10 + 16*T1^12*T2^10 - 4*T1^5*T2^11 + 
     8*T1^6*T2^11 - 28*T1^8*T2^11 + 40*T1^9*T2^11 - 48*T1^10*T2^11 + 
     28*T1^11*T2^11 - 8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 
     16*T1^8*T2^12 - 18*T1^9*T2^12 + 16*T1^10*T2^12 - 8*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 450] -> 
  {((1 - 3*T + T^2)*(1 - 5*T + 7*T^2 - 5*T^3 + T^4))/T^3, 
   (-4 + 32*T1 - 92*T1^2 + 124*T1^3 - 92*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     234*T1*T2 + 550*T1^2*T2 - 442*T1^3*T2 - 10*T1^4*T2 + 302*T1^5*T2 - 
     162*T1^6*T2 + 24*T1^7*T2 - 92*T2^2 + 550*T1*T2^2 - 623*T1^2*T2^2 - 
     1269*T1^3*T2^2 + 2867*T1^4*T2^2 - 2327*T1^5*T2^2 + 389*T1^6*T2^2 + 
     182*T1^7*T2^2 - 46*T1^8*T2^2 + 124*T2^3 - 442*T1*T2^3 - 1269*T1^2*T2^3 + 
     6177*T1^3*T2^3 - 6126*T1^4*T2^3 + 927*T1^5*T2^3 + 3449*T1^6*T2^3 - 
     1752*T1^7*T2^3 + 118*T1^8*T2^3 + 31*T1^9*T2^3 - 92*T2^4 - 10*T1*T2^4 + 
     2867*T1^2*T2^4 - 6126*T1^3*T2^4 - 1948*T1^4*T2^4 + 11412*T1^5*T2^4 - 
     11332*T1^6*T2^4 + 1934*T1^7*T2^4 + 1015*T1^8*T2^4 - 250*T1^9*T2^4 + 
     32*T2^5 + 302*T1*T2^5 - 2327*T1^2*T2^5 + 927*T1^3*T2^5 + 
     11412*T1^4*T2^5 - 15611*T1^5*T2^5 + 6139*T1^6*T2^5 + 6053*T1^7*T2^5 - 
     4112*T1^8*T2^5 + 456*T1^9*T2^5 + 70*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     162*T1*T2^6 + 389*T1^2*T2^6 + 3449*T1^3*T2^6 - 11332*T1^4*T2^6 + 
     6139*T1^5*T2^6 + 6852*T1^6*T2^6 - 12611*T1^7*T2^6 + 4146*T1^8*T2^6 + 
     687*T1^9*T2^6 - 463*T1^10*T2^6 + 46*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 182*T1^2*T2^7 - 1752*T1^3*T2^7 + 1934*T1^4*T2^7 + 
     6053*T1^5*T2^7 - 12611*T1^6*T2^7 + 9139*T1^7*T2^7 + 694*T1^8*T2^7 - 
     3105*T1^9*T2^7 + 1031*T1^10*T2^7 - 50*T1^11*T2^7 - 16*T1^12*T2^7 - 
     46*T1^2*T2^8 + 118*T1^3*T2^8 + 1015*T1^4*T2^8 - 4112*T1^5*T2^8 + 
     4146*T1^6*T2^8 + 694*T1^7*T2^8 - 5238*T1^8*T2^8 + 3948*T1^9*T2^8 - 
     837*T1^10*T2^8 - 122*T1^11*T2^8 + 46*T1^12*T2^8 + 31*T1^3*T2^9 - 
     250*T1^4*T2^9 + 456*T1^5*T2^9 + 687*T1^6*T2^9 - 3105*T1^7*T2^9 + 
     3948*T1^8*T2^9 - 2041*T1^9*T2^9 - 27*T1^10*T2^9 + 310*T1^11*T2^9 - 
     62*T1^12*T2^9 + 70*T1^5*T2^10 - 463*T1^6*T2^10 + 1031*T1^7*T2^10 - 
     837*T1^8*T2^10 - 27*T1^9*T2^10 + 549*T1^10*T2^10 - 298*T1^11*T2^10 + 
     46*T1^12*T2^10 - 8*T1^5*T2^11 + 46*T1^6*T2^11 - 50*T1^7*T2^11 - 
     122*T1^8*T2^11 + 310*T1^9*T2^11 - 298*T1^10*T2^11 + 118*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 46*T1^8*T2^12 - 
     62*T1^9*T2^12 + 46*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 451] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 16*T1^2 + 22*T1^3 - 16*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 39*T1^2*T2 - 42*T1^3*T2 + 15*T1^4*T2 + 6*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 16*T2^2 + 39*T1*T2^2 - 92*T1^2*T2^2 + 
     86*T1^3*T2^2 - 6*T1^4*T2^2 - 42*T1^5*T2^2 + 20*T1^6*T2^2 - 9*T1^7*T2^2 + 
     22*T2^3 - 42*T1*T2^3 + 86*T1^2*T2^3 - 47*T1^3*T2^3 - 62*T1^4*T2^3 + 
     31*T1^5*T2^3 + 85*T1^6*T2^3 - 82*T1^7*T2^3 + 33*T1^8*T2^3 - 
     11*T1^9*T2^3 - 16*T2^4 + 15*T1*T2^4 - 6*T1^2*T2^4 - 62*T1^3*T2^4 + 
     179*T1^4*T2^4 - 31*T1^5*T2^4 - 125*T1^6*T2^4 + 48*T1^7*T2^4 + 
     52*T1^8*T2^4 - 15*T1^9*T2^4 + 16*T1^10*T2^4 + 6*T2^5 + 6*T1*T2^5 - 
     42*T1^2*T2^5 + 31*T1^3*T2^5 - 31*T1^4*T2^5 - 385*T1^5*T2^5 + 
     555*T1^6*T2^5 - 255*T1^7*T2^5 - 28*T1^8*T2^5 - 34*T1^9*T2^5 - 
     21*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 20*T1^2*T2^6 + 
     85*T1^3*T2^6 - 125*T1^4*T2^6 + 555*T1^5*T2^6 - 372*T1^6*T2^6 - 
     235*T1^7*T2^6 + 423*T1^8*T2^6 - 77*T1^9*T2^6 + 88*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 82*T1^3*T2^7 + 
     48*T1^4*T2^7 - 255*T1^5*T2^7 - 235*T1^6*T2^7 + 705*T1^7*T2^7 - 
     479*T1^8*T2^7 - 11*T1^9*T2^7 - 74*T1^10*T2^7 - 36*T1^11*T2^7 - 
     12*T1^12*T2^7 + 33*T1^3*T2^8 + 52*T1^4*T2^8 - 28*T1^5*T2^8 + 
     423*T1^6*T2^8 - 479*T1^7*T2^8 + 119*T1^8*T2^8 + 82*T1^9*T2^8 + 
     110*T1^10*T2^8 + 3*T1^11*T2^8 + 32*T1^12*T2^8 - 11*T1^3*T2^9 - 
     15*T1^4*T2^9 - 34*T1^5*T2^9 - 77*T1^6*T2^9 - 11*T1^7*T2^9 + 
     82*T1^8*T2^9 + 55*T1^9*T2^9 - 202*T1^10*T2^9 + 60*T1^11*T2^9 - 
     44*T1^12*T2^9 + 16*T1^4*T2^10 - 21*T1^5*T2^10 + 88*T1^6*T2^10 - 
     74*T1^7*T2^10 + 110*T1^8*T2^10 - 202*T1^9*T2^10 + 200*T1^10*T2^10 - 
     69*T1^11*T2^10 + 32*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     36*T1^7*T2^11 + 3*T1^8*T2^11 + 60*T1^9*T2^11 - 69*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     32*T1^8*T2^12 - 44*T1^9*T2^12 + 32*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 452] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((-196 + 678*T1 - 914*T1^2 + 678*T1^3 - 196*T1^4 + 678*T2 - 1890*T1*T2 + 
      1598*T1^2*T2 - 250*T1^3*T2 - 882*T1^4*T2 + 454*T1^5*T2 - 914*T2^2 + 
      1598*T1*T2^2 + 823*T1^2*T2^2 - 3059*T1^3*T2^2 + 3103*T1^4*T2^2 - 
      530*T1^5*T2^2 - 306*T1^6*T2^2 + 678*T2^3 - 250*T1*T2^3 - 
      3059*T1^2*T2^3 + 3918*T1^3*T2^3 - 1836*T1^4*T2^3 - 1463*T1^5*T2^3 + 
      1038*T1^6*T2^3 + 6*T1^7*T2^3 - 196*T2^4 - 882*T1*T2^4 + 
      3103*T1^2*T2^4 - 1836*T1^3*T2^4 - 1248*T1^4*T2^4 + 3148*T1^5*T2^4 - 
      1169*T1^6*T2^4 - 210*T1^7*T2^4 + 60*T1^8*T2^4 + 454*T1*T2^5 - 
      530*T1^2*T2^5 - 1463*T1^3*T2^5 + 3148*T1^4*T2^5 - 2606*T1^5*T2^5 + 
      133*T1^6*T2^5 + 758*T1^7*T2^5 - 218*T1^8*T2^5 - 306*T1^2*T2^6 + 
      1038*T1^3*T2^6 - 1169*T1^4*T2^6 + 133*T1^5*T2^6 + 1111*T1^6*T2^6 - 
      1090*T1^7*T2^6 + 302*T1^8*T2^6 + 6*T1^3*T2^7 - 210*T1^4*T2^7 + 
      758*T1^5*T2^7 - 1090*T1^6*T2^7 + 798*T1^7*T2^7 - 218*T1^8*T2^7 + 
      60*T1^4*T2^8 - 218*T1^5*T2^8 + 302*T1^6*T2^8 - 218*T1^7*T2^8 + 
      60*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 453] -> 
  {(5 - 15*T + 24*T^2 - 27*T^3 + 24*T^4 - 15*T^5 + 5*T^6)/T^3, 
   -((770 - 2280*T1 + 3618*T1^2 - 4054*T1^3 + 3618*T1^4 - 2280*T1^5 + 
      770*T1^6 - 2280*T2 + 4869*T1*T2 - 5123*T1^2*T2 + 3110*T1^3*T2 - 
      715*T1^4*T2 - 2198*T1^5*T2 + 3369*T1^6*T2 - 1905*T1^7*T2 + 3618*T2^2 - 
      5123*T1*T2^2 + 2616*T1^2*T2^2 + 730*T1^3*T2^2 - 2014*T1^4*T2^2 + 
      3610*T1^5*T2^2 - 1944*T1^6*T2^2 - 1523*T1^7*T2^2 + 2418*T1^8*T2^2 - 
      4054*T2^3 + 3110*T1*T2^3 + 730*T1^2*T2^3 - 2419*T1^3*T2^3 + 
      1036*T1^4*T2^3 - 1529*T1^5*T2^3 - 1339*T1^6*T2^3 + 3250*T1^7*T2^3 - 
      1165*T1^8*T2^3 - 2029*T1^9*T2^3 + 3618*T2^4 - 715*T1*T2^4 - 
      2014*T1^2*T2^4 + 1036*T1^3*T2^4 + 1439*T1^4*T2^4 - 119*T1^5*T2^4 + 
      2039*T1^6*T2^4 - 1394*T1^7*T2^4 - 1384*T1^8*T2^4 + 2435*T1^9*T2^4 + 
      1218*T1^10*T2^4 - 2280*T2^5 - 2198*T1*T2^5 + 3610*T1^2*T2^5 - 
      1529*T1^3*T2^5 - 119*T1^4*T2^5 - 1819*T1^5*T2^5 - 247*T1^6*T2^5 - 
      407*T1^7*T2^5 + 1306*T1^8*T2^5 - 350*T1^9*T2^5 - 2423*T1^10*T2^5 - 
      405*T1^11*T2^5 + 770*T2^6 + 3369*T1*T2^6 - 1944*T1^2*T2^6 - 
      1339*T1^3*T2^6 + 2039*T1^4*T2^6 - 247*T1^5*T2^6 + 2292*T1^6*T2^6 - 
      1273*T1^7*T2^6 + 851*T1^8*T2^6 - 1609*T1^9*T2^6 + 2196*T1^10*T2^6 + 
      1119*T1^11*T2^6 + 20*T1^12*T2^6 - 1905*T1*T2^7 - 1523*T1^2*T2^7 + 
      3250*T1^3*T2^7 - 1394*T1^4*T2^7 - 407*T1^5*T2^7 - 1273*T1^6*T2^7 + 
      299*T1^7*T2^7 - 695*T1^8*T2^7 + 1441*T1^9*T2^7 - 710*T1^10*T2^7 - 
      1748*T1^11*T2^7 - 30*T1^12*T2^7 + 2418*T1^2*T2^8 - 1165*T1^3*T2^8 - 
      1384*T1^4*T2^8 + 1306*T1^5*T2^8 + 851*T1^6*T2^8 - 695*T1^7*T2^8 + 
      1451*T1^8*T2^8 - 1124*T1^9*T2^8 - 754*T1^10*T2^8 + 1985*T1^11*T2^8 + 
      18*T1^12*T2^8 - 2029*T1^3*T2^9 + 2435*T1^4*T2^9 - 350*T1^5*T2^9 - 
      1609*T1^6*T2^9 + 1441*T1^7*T2^9 - 1124*T1^8*T2^9 - 529*T1^9*T2^9 + 
      2170*T1^10*T2^9 - 1840*T1^11*T2^9 - 4*T1^12*T2^9 + 1218*T1^4*T2^10 - 
      2423*T1^5*T2^10 + 2196*T1^6*T2^10 - 710*T1^7*T2^10 - 754*T1^8*T2^10 + 
      2170*T1^9*T2^10 - 2364*T1^10*T2^10 + 1177*T1^11*T2^10 + 
      18*T1^12*T2^10 - 405*T1^5*T2^11 + 1119*T1^6*T2^11 - 1748*T1^7*T2^11 + 
      1985*T1^8*T2^11 - 1840*T1^9*T2^11 + 1177*T1^10*T2^11 - 
      381*T1^11*T2^11 - 30*T1^12*T2^11 + 20*T1^6*T2^12 - 30*T1^7*T2^12 + 
      18*T1^8*T2^12 - 4*T1^9*T2^12 + 18*T1^10*T2^12 - 30*T1^11*T2^12 + 
      20*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 454] -> 
  {(1 - 4*T + 11*T^2 - 15*T^3 + 11*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 22*T1^2 + 30*T1^3 - 22*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 69*T1^2*T2 - 74*T1^3*T2 + 30*T1^4*T2 + 9*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 22*T2^2 + 69*T1*T2^2 - 135*T1^2*T2^2 + 
     87*T1^3*T2^2 + 73*T1^4*T2^2 - 155*T1^5*T2^2 + 85*T1^6*T2^2 - 
     19*T1^7*T2^2 + 30*T2^3 - 74*T1*T2^3 + 87*T1^2*T2^3 + 59*T1^3*T2^3 - 
     285*T1^4*T2^3 + 184*T1^5*T2^3 + 119*T1^6*T2^3 - 188*T1^7*T2^3 + 
     62*T1^8*T2^3 - 15*T1^9*T2^3 - 22*T2^4 + 30*T1*T2^4 + 73*T1^2*T2^4 - 
     285*T1^3*T2^4 + 520*T1^4*T2^4 - 96*T1^5*T2^4 - 360*T1^6*T2^4 + 
     255*T1^7*T2^4 + 77*T1^8*T2^4 - 26*T1^9*T2^4 + 22*T1^10*T2^4 + 8*T2^5 + 
     9*T1*T2^5 - 155*T1^2*T2^5 + 184*T1^3*T2^5 - 96*T1^4*T2^5 - 
     995*T1^5*T2^5 + 1415*T1^6*T2^5 - 679*T1^7*T2^5 - 143*T1^8*T2^5 - 
     12*T1^9*T2^5 - 43*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     85*T1^2*T2^6 + 119*T1^3*T2^6 - 360*T1^4*T2^6 + 1415*T1^5*T2^6 - 
     864*T1^6*T2^6 - 631*T1^7*T2^6 + 1166*T1^8*T2^6 - 235*T1^9*T2^6 + 
     137*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 
     19*T1^2*T2^7 - 188*T1^3*T2^7 + 255*T1^4*T2^7 - 679*T1^5*T2^7 - 
     631*T1^6*T2^7 + 1779*T1^7*T2^7 - 1262*T1^8*T2^7 - 72*T1^9*T2^7 - 
     45*T1^10*T2^7 - 71*T1^11*T2^7 - 16*T1^12*T2^7 + 62*T1^3*T2^8 + 
     77*T1^4*T2^8 - 143*T1^5*T2^8 + 1166*T1^6*T2^8 - 1262*T1^7*T2^8 + 
     286*T1^8*T2^8 + 397*T1^9*T2^8 + 81*T1^10*T2^8 + 6*T1^11*T2^8 + 
     44*T1^12*T2^8 - 15*T1^3*T2^9 - 26*T1^4*T2^9 - 12*T1^5*T2^9 - 
     235*T1^6*T2^9 - 72*T1^7*T2^9 + 397*T1^8*T2^9 - 175*T1^9*T2^9 - 
     287*T1^10*T2^9 + 110*T1^11*T2^9 - 60*T1^12*T2^9 + 22*T1^4*T2^10 - 
     43*T1^5*T2^10 + 137*T1^6*T2^10 - 45*T1^7*T2^10 + 81*T1^8*T2^10 - 
     287*T1^9*T2^10 + 357*T1^10*T2^10 - 131*T1^11*T2^10 + 44*T1^12*T2^10 - 
     12*T1^5*T2^11 + 32*T1^6*T2^11 - 71*T1^7*T2^11 + 6*T1^8*T2^11 + 
     110*T1^9*T2^11 - 131*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 
     4*T1^6*T2^12 - 16*T1^7*T2^12 + 44*T1^8*T2^12 - 60*T1^9*T2^12 + 
     44*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 455] -> 
  {-((3 - 12*T + 21*T^2 - 25*T^3 + 21*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-138 + 546*T1 - 946*T1^2 + 1122*T1^3 - 946*T1^4 + 546*T1^5 - 138*T1^6 + 
      546*T2 - 1726*T1*T2 + 2025*T1^2*T2 - 1458*T1^3*T2 + 198*T1^4*T2 + 
      837*T1^5*T2 - 1186*T1^6*T2 + 438*T1^7*T2 - 946*T2^2 + 2025*T1*T2^2 - 
      219*T1^2*T2^2 - 2001*T1^3*T2^2 + 3841*T1^4*T2^2 - 3639*T1^5*T2^2 + 
      2049*T1^6*T2^2 + 513*T1^7*T2^2 - 568*T1^8*T2^2 + 1122*T2^3 - 
      1458*T1*T2^3 - 2001*T1^2*T2^3 + 3325*T1^3*T2^3 - 3297*T1^4*T2^3 + 
      870*T1^5*T2^3 + 1309*T1^6*T2^3 - 2946*T1^7*T2^3 + 486*T1^8*T2^3 + 
      447*T1^9*T2^3 - 946*T2^4 + 198*T1*T2^4 + 3841*T1^2*T2^4 - 
      3297*T1^3*T2^4 + 2086*T1^4*T2^4 + 482*T1^5*T2^4 - 1178*T1^6*T2^4 + 
      1203*T1^7*T2^4 + 1933*T1^8*T2^4 - 1026*T1^9*T2^4 - 190*T1^10*T2^4 + 
      546*T2^5 + 837*T1*T2^5 - 3639*T1^2*T2^5 + 870*T1^3*T2^5 + 
      482*T1^4*T2^5 - 1555*T1^5*T2^5 + 347*T1^6*T2^5 + 545*T1^7*T2^5 - 
      2631*T1^8*T2^5 + 78*T1^9*T2^5 + 729*T1^10*T2^5 + 6*T1^11*T2^5 - 
      138*T2^6 - 1186*T1*T2^6 + 2049*T1^2*T2^6 + 1309*T1^3*T2^6 - 
      1178*T1^4*T2^6 + 347*T1^5*T2^6 + 1272*T1^6*T2^6 - 1399*T1^7*T2^6 + 
      1432*T1^8*T2^6 + 1471*T1^9*T2^6 - 1083*T1^10*T2^6 - 106*T1^11*T2^6 + 
      24*T1^12*T2^6 + 438*T1*T2^7 + 513*T1^2*T2^7 - 2946*T1^3*T2^7 + 
      1203*T1^4*T2^7 + 545*T1^5*T2^7 - 1399*T1^6*T2^7 + 503*T1^7*T2^7 + 
      608*T1^8*T2^7 - 2298*T1^9*T2^7 + 771*T1^10*T2^7 + 405*T1^11*T2^7 - 
      102*T1^12*T2^7 - 568*T1^2*T2^8 + 486*T1^3*T2^8 + 1933*T1^4*T2^8 - 
      2631*T1^5*T2^8 + 1432*T1^6*T2^8 + 608*T1^7*T2^8 - 1832*T1^8*T2^8 + 
      1869*T1^9*T2^8 + 25*T1^10*T2^8 - 738*T1^11*T2^8 + 188*T1^12*T2^8 + 
      447*T1^3*T2^9 - 1026*T1^4*T2^9 + 78*T1^5*T2^9 + 1471*T1^6*T2^9 - 
      2298*T1^7*T2^9 + 1869*T1^8*T2^9 - 545*T1^9*T2^9 - 867*T1^10*T2^9 + 
      918*T1^11*T2^9 - 228*T1^12*T2^9 - 190*T1^4*T2^10 + 729*T1^5*T2^10 - 
      1083*T1^6*T2^10 + 771*T1^7*T2^10 + 25*T1^8*T2^10 - 867*T1^9*T2^10 + 
      1185*T1^10*T2^10 - 783*T1^11*T2^10 + 188*T1^12*T2^10 + 6*T1^5*T2^11 - 
      106*T1^6*T2^11 + 405*T1^7*T2^11 - 738*T1^8*T2^11 + 918*T1^9*T2^11 - 
      783*T1^10*T2^11 + 434*T1^11*T2^11 - 102*T1^12*T2^11 + 24*T1^6*T2^12 - 
      102*T1^7*T2^12 + 188*T1^8*T2^12 - 228*T1^9*T2^12 + 188*T1^10*T2^12 - 
      102*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 456] -> {(1 - 5*T^2 + 9*T^3 - 5*T^4 + T^6)/T^3, 
   (-2 + 10*T1^2 - 18*T1^3 + 10*T1^4 - 2*T1^6 - 8*T1*T2 + 15*T1^2*T2 - 
     10*T1^3*T2 - 10*T1^4*T2 + 15*T1^5*T2 - 8*T1^6*T2 + 10*T2^2 + 
     15*T1*T2^2 - 71*T1^2*T2^2 + 111*T1^3*T2^2 - 57*T1^4*T2^2 + 
     21*T1^5*T2^2 - 11*T1^6*T2^2 + 15*T1^7*T2^2 - 18*T2^3 - 10*T1*T2^3 + 
     111*T1^2*T2^3 - 205*T1^3*T2^3 + 113*T1^4*T2^3 - 22*T1^5*T2^3 + 
     11*T1^6*T2^3 - 24*T1^7*T2^3 - 10*T1^8*T2^3 + 9*T1^9*T2^3 + 10*T2^4 - 
     10*T1*T2^4 - 57*T1^2*T2^4 + 113*T1^3*T2^4 + 32*T1^4*T2^4 - 
     184*T1^5*T2^4 + 152*T1^6*T2^4 - 67*T1^7*T2^4 + 43*T1^8*T2^4 - 
     10*T1^9*T2^4 - 10*T1^10*T2^4 + 15*T1*T2^5 + 21*T1^2*T2^5 - 
     22*T1^3*T2^5 - 184*T1^4*T2^5 + 373*T1^5*T2^5 - 257*T1^6*T2^5 + 
     41*T1^7*T2^5 + 23*T1^8*T2^5 - 24*T1^9*T2^5 + 15*T1^10*T2^5 - 2*T2^6 - 
     8*T1*T2^6 - 11*T1^2*T2^6 + 11*T1^3*T2^6 + 152*T1^4*T2^6 - 
     257*T1^5*T2^6 + 84*T1^6*T2^6 + 193*T1^7*T2^6 - 178*T1^8*T2^6 + 
     65*T1^9*T2^6 + 9*T1^10*T2^6 - 8*T1^11*T2^6 + 4*T1^12*T2^6 + 
     15*T1^2*T2^7 - 24*T1^3*T2^7 - 67*T1^4*T2^7 + 41*T1^5*T2^7 + 
     193*T1^6*T2^7 - 437*T1^7*T2^7 + 266*T1^8*T2^7 - 22*T1^9*T2^7 - 
     69*T1^10*T2^7 + 15*T1^11*T2^7 - 10*T1^3*T2^8 + 43*T1^4*T2^8 + 
     23*T1^5*T2^8 - 178*T1^6*T2^8 + 266*T1^7*T2^8 - 58*T1^8*T2^8 - 
     157*T1^9*T2^8 + 143*T1^10*T2^8 - 10*T1^11*T2^8 - 20*T1^12*T2^8 + 
     9*T1^3*T2^9 - 10*T1^4*T2^9 - 24*T1^5*T2^9 + 65*T1^6*T2^9 - 
     22*T1^7*T2^9 - 157*T1^8*T2^9 + 281*T1^9*T2^9 - 159*T1^10*T2^9 - 
     10*T1^11*T2^9 + 36*T1^12*T2^9 - 10*T1^4*T2^10 + 15*T1^5*T2^10 + 
     9*T1^6*T2^10 - 69*T1^7*T2^10 + 143*T1^8*T2^10 - 159*T1^9*T2^10 + 
     69*T1^10*T2^10 + 15*T1^11*T2^10 - 20*T1^12*T2^10 - 8*T1^6*T2^11 + 
     15*T1^7*T2^11 - 10*T1^8*T2^11 - 10*T1^9*T2^11 + 15*T1^10*T2^11 - 
     8*T1^11*T2^11 + 4*T1^6*T2^12 - 20*T1^8*T2^12 + 36*T1^9*T2^12 - 
     20*T1^10*T2^12 + 4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 457] -> {(3 - 5*T + 3*T^2)/T, 
   -((3*T1 - 4*T1^2 + 3*T1^3 + 3*T2 - 14*T1*T2 + 6*T1^2*T2 + 6*T1^3*T2 - 
      14*T1^4*T2 + 3*T1^5*T2 - 4*T2^2 + 6*T1*T2^2 + 29*T1^2*T2^2 - 
      45*T1^3*T2^2 + 29*T1^4*T2^2 + 6*T1^5*T2^2 - 4*T1^6*T2^2 + 3*T2^3 + 
      6*T1*T2^3 - 45*T1^2*T2^3 + 71*T1^3*T2^3 - 49*T1^4*T2^3 + 6*T1^6*T2^3 + 
      3*T1^7*T2^3 - 14*T1*T2^4 + 29*T1^2*T2^4 - 49*T1^3*T2^4 + 12*T1^4*T2^4 + 
      41*T1^5*T2^4 - 25*T1^6*T2^4 - 14*T1^7*T2^4 + 3*T1*T2^5 + 6*T1^2*T2^5 + 
      41*T1^4*T2^5 - 79*T1^5*T2^5 + 45*T1^6*T2^5 + 6*T1^7*T2^5 + 
      3*T1^8*T2^5 - 4*T1^2*T2^6 + 6*T1^3*T2^6 - 25*T1^4*T2^6 + 45*T1^5*T2^6 - 
      25*T1^6*T2^6 + 6*T1^7*T2^6 - 4*T1^8*T2^6 + 3*T1^3*T2^7 - 14*T1^4*T2^7 + 
      6*T1^5*T2^7 + 6*T1^6*T2^7 - 14*T1^7*T2^7 + 3*T1^8*T2^7 + 3*T1^5*T2^8 - 
      4*T1^6*T2^8 + 3*T1^7*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 458] -> 
  {((1 - T + T^2)*(1 - 5*T + 10*T^2 - 11*T^3 + 10*T^4 - 5*T^5 + T^6))/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 104*T1^3 - 124*T1^4 + 104*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 336*T1^3*T2 + 
     276*T1^4*T2 - 66*T1^5*T2 - 84*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 407*T1^2*T2^2 + 124*T1^3*T2^2 + 
     318*T1^4*T2^2 - 857*T1^5*T2^2 + 798*T1^6*T2^2 - 516*T1^7*T2^2 + 
     73*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 104*T2^3 - 336*T1*T2^3 + 
     124*T1^2*T2^3 + 786*T1^3*T2^3 - 1340*T1^4*T2^3 + 1636*T1^5*T2^3 - 
     560*T1^6*T2^3 - 194*T1^7*T2^3 + 780*T1^8*T2^3 - 452*T1^9*T2^3 + 
     36*T1^10*T2^3 + 26*T1^11*T2^3 - 124*T2^4 + 276*T1*T2^4 + 318*T1^2*T2^4 - 
     1340*T1^3*T2^4 + 1019*T1^4*T2^4 - 533*T1^5*T2^4 - 1473*T1^6*T2^4 + 
     1667*T1^7*T2^4 - 1501*T1^8*T2^4 + 116*T1^9*T2^4 + 430*T1^10*T2^4 - 
     156*T1^11*T2^4 + 104*T2^5 - 66*T1*T2^5 - 857*T1^2*T2^5 + 
     1636*T1^3*T2^5 - 533*T1^4*T2^5 + 44*T1^5*T2^5 + 2026*T1^6*T2^5 - 
     1110*T1^7*T2^5 + 380*T1^8*T2^5 + 1351*T1^9*T2^5 - 1000*T1^10*T2^5 - 
     5*T1^11*T2^5 + 156*T1^12*T2^5 - 26*T1^13*T2^5 - 64*T2^6 - 84*T1*T2^6 + 
     798*T1^2*T2^6 - 560*T1^3*T2^6 - 1473*T1^4*T2^6 + 2026*T1^5*T2^6 - 
     3893*T1^6*T2^6 + 1589*T1^7*T2^6 - 53*T1^8*T2^6 - 1590*T1^9*T2^6 + 
     159*T1^10*T2^6 + 976*T1^11*T2^6 - 418*T1^12*T2^6 - 36*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 516*T1^2*T2^7 - 194*T1^3*T2^7 + 
     1667*T1^4*T2^7 - 1110*T1^5*T2^7 + 1589*T1^6*T2^7 + 1560*T1^7*T2^7 - 
     2232*T1^8*T2^7 + 1553*T1^9*T2^7 + 1066*T1^10*T2^7 - 1481*T1^11*T2^7 - 
     100*T1^12*T2^7 + 444*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 73*T1^2*T2^8 + 780*T1^3*T2^8 - 1501*T1^4*T2^8 + 
     380*T1^5*T2^8 - 53*T1^6*T2^8 - 2232*T1^7*T2^8 + 1392*T1^8*T2^8 + 
     760*T1^9*T2^8 - 1861*T1^10*T2^8 + 524*T1^11*T2^8 + 1403*T1^12*T2^8 - 
     764*T1^13*T2^8 - 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 452*T1^3*T2^9 + 116*T1^4*T2^9 + 
     1351*T1^5*T2^9 - 1590*T1^6*T2^9 + 1553*T1^7*T2^9 + 760*T1^8*T2^9 - 
     3032*T1^9*T2^9 + 1517*T1^10*T2^9 + 586*T1^11*T2^9 - 1797*T1^12*T2^9 + 
     210*T1^13*T2^9 + 508*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 36*T1^3*T2^10 + 430*T1^4*T2^10 - 1000*T1^5*T2^10 + 
     159*T1^6*T2^10 + 1066*T1^7*T2^10 - 1861*T1^8*T2^10 + 1517*T1^9*T2^10 + 
     1979*T1^10*T2^10 - 2550*T1^11*T2^10 + 1791*T1^12*T2^10 + 
     536*T1^13*T2^10 - 786*T1^14*T2^10 + 84*T1^15*T2^10 + 64*T1^16*T2^10 + 
     26*T1^3*T2^11 - 156*T1^4*T2^11 - 5*T1^5*T2^11 + 976*T1^6*T2^11 - 
     1481*T1^7*T2^11 + 524*T1^8*T2^11 + 586*T1^9*T2^11 - 2550*T1^10*T2^11 + 
     860*T1^11*T2^11 + 403*T1^12*T2^11 - 1660*T1^13*T2^11 + 847*T1^14*T2^11 + 
     66*T1^15*T2^11 - 104*T1^16*T2^11 + 156*T1^5*T2^12 - 418*T1^6*T2^12 - 
     100*T1^7*T2^12 + 1403*T1^8*T2^12 - 1797*T1^9*T2^12 + 1791*T1^10*T2^12 + 
     403*T1^11*T2^12 - 1117*T1^12*T2^12 + 1356*T1^13*T2^12 - 
     306*T1^14*T2^12 - 276*T1^15*T2^12 + 124*T1^16*T2^12 - 26*T1^5*T2^13 - 
     36*T1^6*T2^13 + 444*T1^7*T2^13 - 764*T1^8*T2^13 + 210*T1^9*T2^13 + 
     536*T1^10*T2^13 - 1660*T1^11*T2^13 + 1356*T1^12*T2^13 - 
     770*T1^13*T2^13 - 132*T1^14*T2^13 + 336*T1^15*T2^13 - 104*T1^16*T2^13 + 
     32*T1^6*T2^14 - 84*T1^7*T2^14 - 71*T1^8*T2^14 + 508*T1^9*T2^14 - 
     786*T1^10*T2^14 + 847*T1^11*T2^14 - 306*T1^12*T2^14 - 132*T1^13*T2^14 + 
     409*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 18*T1^7*T2^15 + 
     84*T1^8*T2^15 - 144*T1^9*T2^15 + 84*T1^10*T2^15 + 66*T1^11*T2^15 - 
     276*T1^12*T2^15 + 336*T1^13*T2^15 - 276*T1^14*T2^15 + 126*T1^15*T2^15 - 
     24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 64*T1^10*T2^16 - 
     104*T1^11*T2^16 + 124*T1^12*T2^16 - 104*T1^13*T2^16 + 64*T1^14*T2^16 - 
     24*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 459] -> 
  {((1 - 5*T + 9*T^2 - 5*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-6 + 36*T1 - 90*T1^2 + 120*T1^3 - 126*T1^4 + 120*T1^5 - 90*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 360*T1^2*T2 - 270*T1^3*T2 + 
     156*T1^4*T2 - 90*T1^5*T2 - 60*T1^6*T2 + 234*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 90*T2^2 + 360*T1*T2^2 - 330*T1^2*T2^2 - 539*T1^3*T2^2 + 
     809*T1^4*T2^2 - 778*T1^5*T2^2 + 989*T1^6*T2^2 - 959*T1^7*T2^2 + 
     90*T1^8*T2^2 + 180*T1^9*T2^2 - 60*T1^10*T2^2 + 120*T2^3 - 270*T1*T2^3 - 
     539*T1^2*T2^3 + 2238*T1^3*T2^3 - 1435*T1^4*T2^3 + 744*T1^5*T2^3 - 
     846*T1^6*T2^3 + 95*T1^7*T2^3 + 1608*T1^8*T2^3 - 809*T1^9*T2^3 + 
     60*T1^11*T2^3 - 126*T2^4 + 156*T1*T2^4 + 809*T1^2*T2^4 - 
     1435*T1^3*T2^4 - 1964*T1^4*T2^4 + 2750*T1^5*T2^4 - 2192*T1^6*T2^4 + 
     3014*T1^7*T2^4 - 3644*T1^8*T2^4 + 245*T1^9*T2^4 + 629*T1^10*T2^4 - 
     108*T1^11*T2^4 - 42*T1^12*T2^4 + 120*T2^5 - 90*T1*T2^5 - 778*T1^2*T2^5 + 
     744*T1^3*T2^5 + 2750*T1^4*T2^5 - 1424*T1^5*T2^5 + 168*T1^6*T2^5 - 
     1002*T1^7*T2^5 + 970*T1^8*T2^5 + 2288*T1^9*T2^5 - 826*T1^10*T2^5 - 
     310*T1^11*T2^5 + 132*T1^12*T2^5 + 20*T1^13*T2^5 - 90*T2^6 - 60*T1*T2^6 + 
     989*T1^2*T2^6 - 846*T1^3*T2^6 - 2192*T1^4*T2^6 + 168*T1^5*T2^6 + 
     364*T1^6*T2^6 + 1038*T1^7*T2^6 - 1316*T1^8*T2^6 - 852*T1^9*T2^6 - 
     1082*T1^10*T2^6 + 774*T1^11*T2^6 + 89*T1^12*T2^6 - 120*T1^13*T2^6 + 
     36*T2^7 + 234*T1*T2^7 - 959*T1^2*T2^7 + 95*T1^3*T2^7 + 3014*T1^4*T2^7 - 
     1002*T1^5*T2^7 + 1038*T1^6*T2^7 - 2706*T1^7*T2^7 + 2418*T1^8*T2^7 + 
     258*T1^9*T2^7 + 468*T1^10*T2^7 + 572*T1^11*T2^7 - 835*T1^12*T2^7 + 
     211*T1^13*T2^7 + 36*T1^14*T2^7 - 6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 + 
     90*T1^2*T2^8 + 1608*T1^3*T2^8 - 3644*T1^4*T2^8 + 970*T1^5*T2^8 - 
     1316*T1^6*T2^8 + 2418*T1^7*T2^8 - 348*T1^8*T2^8 - 2406*T1^9*T2^8 + 
     1284*T1^10*T2^8 - 1454*T1^11*T2^8 + 904*T1^12*T2^8 + 88*T1^13*T2^8 - 
     186*T1^14*T2^8 + 24*T1^15*T2^8 + 2*T1^16*T2^8 + 30*T1*T2^9 + 
     180*T1^2*T2^9 - 809*T1^3*T2^9 + 245*T1^4*T2^9 + 2288*T1^5*T2^9 - 
     852*T1^6*T2^9 + 258*T1^7*T2^9 - 2406*T1^8*T2^9 + 2718*T1^9*T2^9 - 
     522*T1^10*T2^9 + 618*T1^11*T2^9 - 154*T1^12*T2^9 - 685*T1^13*T2^9 + 
     361*T1^14*T2^9 - 18*T1^15*T2^9 - 12*T1^16*T2^9 - 60*T1^2*T2^10 + 
     629*T1^4*T2^10 - 826*T1^5*T2^10 - 1082*T1^6*T2^10 + 468*T1^7*T2^10 + 
     1284*T1^8*T2^10 - 522*T1^9*T2^10 - 396*T1^10*T2^10 - 552*T1^11*T2^10 + 
     28*T1^12*T2^10 + 794*T1^13*T2^10 - 271*T1^14*T2^10 - 60*T1^15*T2^10 + 
     30*T1^16*T2^10 + 60*T1^3*T2^11 - 108*T1^4*T2^11 - 310*T1^5*T2^11 + 
     774*T1^6*T2^11 + 572*T1^7*T2^11 - 1454*T1^8*T2^11 + 618*T1^9*T2^11 - 
     552*T1^10*T2^11 + 940*T1^11*T2^11 + 110*T1^12*T2^11 - 796*T1^13*T2^11 + 
     158*T1^14*T2^11 + 114*T1^15*T2^11 - 40*T1^16*T2^11 - 42*T1^4*T2^12 + 
     132*T1^5*T2^12 + 89*T1^6*T2^12 - 835*T1^7*T2^12 + 904*T1^8*T2^12 - 
     154*T1^9*T2^12 + 28*T1^10*T2^12 + 110*T1^11*T2^12 - 776*T1^12*T2^12 + 
     845*T1^13*T2^12 - 91*T1^14*T2^12 - 132*T1^15*T2^12 + 42*T1^16*T2^12 + 
     20*T1^5*T2^13 - 120*T1^6*T2^13 + 211*T1^7*T2^13 + 88*T1^8*T2^13 - 
     685*T1^9*T2^13 + 794*T1^10*T2^13 - 796*T1^11*T2^13 + 845*T1^12*T2^13 - 
     542*T1^13*T2^13 - 59*T1^14*T2^13 + 150*T1^15*T2^13 - 40*T1^16*T2^13 + 
     36*T1^7*T2^14 - 186*T1^8*T2^14 + 361*T1^9*T2^14 - 271*T1^10*T2^14 + 
     158*T1^11*T2^14 - 91*T1^12*T2^14 - 59*T1^13*T2^14 + 234*T1^14*T2^14 - 
     144*T1^15*T2^14 + 30*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 
     18*T1^9*T2^15 - 60*T1^10*T2^15 + 114*T1^11*T2^15 - 132*T1^12*T2^15 + 
     150*T1^13*T2^15 - 144*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 
     2*T1^8*T2^16 - 12*T1^9*T2^16 + 30*T1^10*T2^16 - 40*T1^11*T2^16 + 
     42*T1^12*T2^16 - 40*T1^13*T2^16 + 30*T1^14*T2^16 - 12*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 460] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3, 
   (-2 + 12*T1 - 30*T1^2 + 38*T1^3 - 30*T1^4 + 12*T1^5 - 2*T1^6 + 12*T2 - 
     66*T1*T2 + 145*T1^2*T2 - 138*T1^3*T2 + 66*T1^4*T2 + 19*T1^5*T2 - 
     24*T1^6*T2 + 6*T1^7*T2 - 30*T2^2 + 145*T1*T2^2 - 250*T1^2*T2^2 + 
     56*T1^3*T2^2 + 188*T1^4*T2^2 - 334*T1^5*T2^2 + 170*T1^6*T2^2 - 
     35*T1^7*T2^2 + 38*T2^3 - 138*T1*T2^3 + 56*T1^2*T2^3 + 599*T1^3*T2^3 - 
     982*T1^4*T2^3 + 881*T1^5*T2^3 - 151*T1^6*T2^3 - 169*T1^7*T2^3 + 
     114*T1^8*T2^3 - 19*T1^9*T2^3 - 30*T2^4 + 66*T1*T2^4 + 188*T1^2*T2^4 - 
     982*T1^3*T2^4 + 876*T1^4*T2^4 + 36*T1^5*T2^4 - 1248*T1^6*T2^4 + 
     1070*T1^7*T2^4 - 280*T1^8*T2^4 - 66*T1^9*T2^4 + 30*T1^10*T2^4 + 
     12*T2^5 + 19*T1*T2^5 - 334*T1^2*T2^5 + 881*T1^3*T2^5 + 36*T1^4*T2^5 - 
     1733*T1^5*T2^5 + 2497*T1^6*T2^5 - 999*T1^7*T2^5 - 604*T1^8*T2^5 + 
     551*T1^9*T2^5 - 71*T1^10*T2^5 - 18*T1^11*T2^5 - 2*T2^6 - 24*T1*T2^6 + 
     170*T1^2*T2^6 - 151*T1^3*T2^6 - 1248*T1^4*T2^6 + 2497*T1^5*T2^6 - 
     1272*T1^6*T2^6 - 1373*T1^7*T2^6 + 2406*T1^8*T2^6 - 805*T1^9*T2^6 - 
     154*T1^10*T2^6 + 84*T1^11*T2^6 + 4*T1^12*T2^6 + 6*T1*T2^7 - 
     35*T1^2*T2^7 - 169*T1^3*T2^7 + 1070*T1^4*T2^7 - 999*T1^5*T2^7 - 
     1373*T1^6*T2^7 + 2857*T1^7*T2^7 - 2034*T1^8*T2^7 - 415*T1^9*T2^7 + 
     716*T1^10*T2^7 - 125*T1^11*T2^7 - 24*T1^12*T2^7 + 114*T1^3*T2^8 - 
     280*T1^4*T2^8 - 604*T1^5*T2^8 + 2406*T1^6*T2^8 - 2034*T1^7*T2^8 + 
     282*T1^8*T2^8 + 1448*T1^9*T2^8 - 748*T1^10*T2^8 - 18*T1^11*T2^8 + 
     60*T1^12*T2^8 - 19*T1^3*T2^9 - 66*T1^4*T2^9 + 551*T1^5*T2^9 - 
     805*T1^6*T2^9 - 415*T1^7*T2^9 + 1448*T1^8*T2^9 - 1555*T1^9*T2^9 + 
     326*T1^10*T2^9 + 186*T1^11*T2^9 - 76*T1^12*T2^9 + 30*T1^4*T2^10 - 
     71*T1^5*T2^10 - 154*T1^6*T2^10 + 716*T1^7*T2^10 - 748*T1^8*T2^10 + 
     326*T1^9*T2^10 + 266*T1^10*T2^10 - 251*T1^11*T2^10 + 60*T1^12*T2^10 - 
     18*T1^5*T2^11 + 84*T1^6*T2^11 - 125*T1^7*T2^11 - 18*T1^8*T2^11 + 
     186*T1^9*T2^11 - 251*T1^10*T2^11 + 126*T1^11*T2^11 - 24*T1^12*T2^11 + 
     4*T1^6*T2^12 - 24*T1^7*T2^12 + 60*T1^8*T2^12 - 76*T1^9*T2^12 + 
     60*T1^10*T2^12 - 24*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 461] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3), 
   -((-3 + 21*T1 - 60*T1^2 + 87*T1^3 - 60*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      131*T1*T2 + 314*T1^2*T2 - 321*T1^3*T2 + 22*T1^4*T2 + 125*T1^5*T2 - 
      75*T1^6*T2 + 14*T1^7*T2 - 60*T2^2 + 314*T1*T2^2 - 513*T1^2*T2^2 - 
      61*T1^3*T2^2 + 1137*T1^4*T2^2 - 941*T1^5*T2^2 + 247*T1^6*T2^2 + 
      34*T1^7*T2^2 - 20*T1^8*T2^2 + 87*T2^3 - 321*T1*T2^3 - 61*T1^2*T2^3 + 
      1913*T1^3*T2^3 - 3326*T1^4*T2^3 + 1185*T1^5*T2^3 + 743*T1^6*T2^3 - 
      681*T1^7*T2^3 + 148*T1^8*T2^3 - 60*T2^4 + 22*T1*T2^4 + 1137*T1^2*T2^4 - 
      3326*T1^3*T2^4 + 2769*T1^4*T2^4 + 2551*T1^5*T2^4 - 4643*T1^6*T2^4 + 
      2068*T1^7*T2^4 - 105*T1^8*T2^4 - 132*T1^9*T2^4 + 20*T1^10*T2^4 + 
      21*T2^5 + 125*T1*T2^5 - 941*T1^2*T2^5 + 1185*T1^3*T2^5 + 
      2551*T1^4*T2^5 - 8961*T1^5*T2^5 + 8399*T1^6*T2^5 - 1209*T1^7*T2^5 - 
      1560*T1^8*T2^5 + 719*T1^9*T2^5 - 50*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 75*T1*T2^6 + 247*T1^2*T2^6 + 743*T1^3*T2^6 - 4643*T1^4*T2^6 + 
      8399*T1^5*T2^6 - 4116*T1^6*T2^6 - 5519*T1^7*T2^6 + 4993*T1^8*T2^6 - 
      1111*T1^9*T2^6 - 205*T1^10*T2^6 + 79*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 34*T1^2*T2^7 - 681*T1^3*T2^7 + 2068*T1^4*T2^7 - 
      1209*T1^5*T2^7 - 5519*T1^6*T2^7 + 11841*T1^7*T2^7 - 4969*T1^8*T2^7 - 
      677*T1^9*T2^7 + 979*T1^10*T2^7 - 141*T1^11*T2^7 - 21*T1^12*T2^7 - 
      20*T1^2*T2^8 + 148*T1^3*T2^8 - 105*T1^4*T2^8 - 1560*T1^5*T2^8 + 
      4993*T1^6*T2^8 - 4969*T1^7*T2^8 - 2419*T1^8*T2^8 + 3834*T1^9*T2^8 - 
      1347*T1^10*T2^8 - 6*T1^11*T2^8 + 60*T1^12*T2^8 - 132*T1^4*T2^9 + 
      719*T1^5*T2^9 - 1111*T1^6*T2^9 - 677*T1^7*T2^9 + 3834*T1^8*T2^9 - 
      2281*T1^9*T2^9 + 99*T1^10*T2^9 + 337*T1^11*T2^9 - 87*T1^12*T2^9 + 
      20*T1^4*T2^10 - 50*T1^5*T2^10 - 205*T1^6*T2^10 + 979*T1^7*T2^10 - 
      1347*T1^8*T2^10 + 99*T1^9*T2^10 + 555*T1^10*T2^10 - 330*T1^11*T2^10 + 
      60*T1^12*T2^10 - 14*T1^5*T2^11 + 79*T1^6*T2^11 - 141*T1^7*T2^11 - 
      6*T1^8*T2^11 + 337*T1^9*T2^11 - 330*T1^10*T2^11 + 135*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 60*T1^8*T2^12 - 
      87*T1^9*T2^12 + 60*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 462] -> 
  {(1 - 3*T + T^2)^2/T^2, (2*(1 - 3*T1 + T1^2)^2*(1 + T1*T2)*
     (1 - 3*T2 + T2^2)^2*(1 - 3*T1*T2 + T1^2*T2^2))/(T1^5*T2^4)}, 
 Knot[12, NonAlternating, 463] -> 
  {-((1 - 7*T + 18*T^2 - 25*T^3 + 18*T^4 - 7*T^5 + T^6)/T^3), 
   -((-3 + 21*T1 - 54*T1^2 + 75*T1^3 - 54*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 280*T1^2*T2 - 272*T1^3*T2 + 29*T1^4*T2 + 105*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 54*T2^2 + 280*T1*T2^2 - 303*T1^2*T2^2 - 
      299*T1^3*T2^2 + 1149*T1^4*T2^2 - 947*T1^5*T2^2 + 309*T1^6*T2^2 + 
      28*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 272*T1*T2^3 - 299*T1^2*T2^3 + 
      1831*T1^3*T2^3 - 2656*T1^4*T2^3 + 887*T1^5*T2^3 + 631*T1^6*T2^3 - 
      641*T1^7*T2^3 + 127*T1^8*T2^3 - 54*T2^4 + 29*T1*T2^4 + 1149*T1^2*T2^4 - 
      2656*T1^3*T2^4 + 1634*T1^4*T2^4 + 2252*T1^5*T2^4 - 3442*T1^6*T2^4 + 
      1494*T1^7*T2^4 - 5*T1^8*T2^4 - 125*T1^9*T2^4 + 18*T1^10*T2^4 + 
      21*T2^5 + 105*T1*T2^5 - 947*T1^2*T2^5 + 887*T1^3*T2^5 + 
      2252*T1^4*T2^5 - 5815*T1^5*T2^5 + 4365*T1^6*T2^5 + 200*T1^7*T2^5 - 
      1442*T1^8*T2^5 + 619*T1^9*T2^5 - 28*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 309*T1^2*T2^6 + 631*T1^3*T2^6 - 3442*T1^4*T2^6 + 
      4365*T1^5*T2^6 - 768*T1^6*T2^6 - 4009*T1^7*T2^6 + 2782*T1^8*T2^6 - 
      527*T1^9*T2^6 - 307*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 28*T1^2*T2^7 - 641*T1^3*T2^7 + 1494*T1^4*T2^7 + 
      200*T1^5*T2^7 - 4009*T1^6*T2^7 + 6171*T1^7*T2^7 - 1852*T1^8*T2^7 - 
      835*T1^9*T2^7 + 925*T1^10*T2^7 - 105*T1^11*T2^7 - 21*T1^12*T2^7 - 
      18*T1^2*T2^8 + 127*T1^3*T2^8 - 5*T1^4*T2^8 - 1442*T1^5*T2^8 + 
      2782*T1^6*T2^8 - 1852*T1^7*T2^8 - 2294*T1^8*T2^8 + 2708*T1^9*T2^8 - 
      1159*T1^10*T2^8 - 27*T1^11*T2^8 + 54*T1^12*T2^8 - 125*T1^4*T2^9 + 
      619*T1^5*T2^9 - 527*T1^6*T2^9 - 835*T1^7*T2^9 + 2708*T1^8*T2^9 - 
      1727*T1^9*T2^9 + 277*T1^10*T2^9 + 274*T1^11*T2^9 - 75*T1^12*T2^9 + 
      18*T1^4*T2^10 - 28*T1^5*T2^10 - 307*T1^6*T2^10 + 925*T1^7*T2^10 - 
      1159*T1^8*T2^10 + 277*T1^9*T2^10 + 305*T1^10*T2^10 - 280*T1^11*T2^10 + 
      54*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 105*T1^7*T2^11 - 
      27*T1^8*T2^11 + 274*T1^9*T2^11 - 280*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 54*T1^8*T2^12 - 
      75*T1^9*T2^12 + 54*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 464] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((-3 + 12*T1 - 13*T1^2 + 12*T1^3 - 3*T1^4 + 12*T2 - 42*T1*T2 + 
      23*T1^2*T2 - 13*T1^3*T2 - 22*T1^4*T2 + 8*T1^5*T2 - 13*T2^2 + 
      23*T1*T2^2 + 77*T1^2*T2^2 - 93*T1^3*T2^2 + 117*T1^4*T2^2 - 
      17*T1^5*T2^2 - 3*T1^6*T2^2 + 12*T2^3 - 13*T1*T2^3 - 93*T1^2*T2^3 + 
      60*T1^3*T2^3 - 60*T1^4*T2^3 - 53*T1^5*T2^3 + 15*T1^6*T2^3 - 3*T2^4 - 
      22*T1*T2^4 + 117*T1^2*T2^4 - 60*T1^3*T2^4 + 36*T1^4*T2^4 + 
      52*T1^5*T2^4 + 9*T1^6*T2^4 - 6*T1^7*T2^4 + T1^8*T2^4 + 8*T1*T2^5 - 
      17*T1^2*T2^5 - 53*T1^3*T2^5 + 52*T1^4*T2^5 - 68*T1^5*T2^5 - 
      13*T1^6*T2^5 + 11*T1^7*T2^5 - 4*T1^8*T2^5 - 3*T1^2*T2^6 + 
      15*T1^3*T2^6 + 9*T1^4*T2^6 - 13*T1^5*T2^6 + 49*T1^6*T2^6 - 
      25*T1^7*T2^6 + 7*T1^8*T2^6 - 6*T1^4*T2^7 + 11*T1^5*T2^7 - 
      25*T1^6*T2^7 + 14*T1^7*T2^7 - 4*T1^8*T2^7 + T1^4*T2^8 - 4*T1^5*T2^8 + 
      7*T1^6*T2^8 - 4*T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 465] -> 
  {-((1 - 6*T + 13*T^2 - 15*T^3 + 13*T^4 - 15*T^5 + 13*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 65*T1^2 + 75*T1^3 - 65*T1^4 + 75*T1^5 - 65*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 246*T1^2*T2 - 138*T1^3*T2 + 
      30*T1^4*T2 - 138*T1^5*T2 + 30*T1^6*T2 + 132*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 65*T2^2 + 246*T1*T2^2 - 20*T1^2*T2^2 - 661*T1^3*T2^2 + 
      800*T1^4*T2^2 - 300*T1^5*T2^2 + 800*T1^6*T2^2 - 895*T1^7*T2^2 + 
      292*T1^8*T2^2 + 90*T1^9*T2^2 - 39*T1^10*T2^2 + 75*T2^3 - 138*T1*T2^3 - 
      661*T1^2*T2^3 + 1549*T1^3*T2^3 - 827*T1^4*T2^3 - 196*T1^5*T2^3 - 
      1120*T1^6*T2^3 + 502*T1^7*T2^3 + 787*T1^8*T2^3 - 700*T1^9*T2^3 + 
      54*T1^10*T2^3 + 30*T1^11*T2^3 - 65*T2^4 + 30*T1*T2^4 + 800*T1^2*T2^4 - 
      827*T1^3*T2^4 - 1000*T1^4*T2^4 + 1666*T1^5*T2^4 + 432*T1^6*T2^4 + 
      1198*T1^7*T2^4 - 1996*T1^8*T2^4 + 553*T1^9*T2^4 + 396*T1^10*T2^4 - 
      102*T1^11*T2^4 - 13*T1^12*T2^4 + 75*T2^5 - 138*T1*T2^5 - 
      300*T1^2*T2^5 - 196*T1^3*T2^5 + 1666*T1^4*T2^5 - 1256*T1^5*T2^5 - 
      849*T1^6*T2^5 - 1182*T1^7*T2^5 + 958*T1^8*T2^5 + 730*T1^9*T2^5 - 
      748*T1^10*T2^5 - 66*T1^11*T2^5 + 78*T1^12*T2^5 - 65*T2^6 + 30*T1*T2^6 + 
      800*T1^2*T2^6 - 1120*T1^3*T2^6 + 432*T1^4*T2^6 - 849*T1^5*T2^6 + 
      2293*T1^6*T2^6 - 135*T1^7*T2^6 - 11*T1^8*T2^6 - 741*T1^9*T2^6 + 
      102*T1^10*T2^6 + 362*T1^11*T2^6 - 8*T1^12*T2^6 - 78*T1^13*T2^6 + 
      13*T1^14*T2^6 + 30*T2^7 + 132*T1*T2^7 - 895*T1^2*T2^7 + 502*T1^3*T2^7 + 
      1198*T1^4*T2^7 - 1182*T1^5*T2^7 - 135*T1^6*T2^7 - 1954*T1^7*T2^7 + 
      1850*T1^8*T2^7 - 96*T1^9*T2^7 + 33*T1^10*T2^7 + 262*T1^11*T2^7 - 
      623*T1^12*T2^7 + 314*T1^13*T2^7 - 6*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 292*T1^2*T2^8 + 787*T1^3*T2^8 - 1996*T1^4*T2^8 + 
      958*T1^5*T2^8 - 11*T1^6*T2^8 + 1850*T1^7*T2^8 - 504*T1^8*T2^8 - 
      1690*T1^9*T2^8 + 915*T1^10*T2^8 - 1094*T1^11*T2^8 + 956*T1^12*T2^8 - 
      131*T1^13*T2^8 - 224*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 90*T1^2*T2^9 - 700*T1^3*T2^9 + 553*T1^4*T2^9 + 
      730*T1^5*T2^9 - 741*T1^6*T2^9 - 96*T1^7*T2^9 - 1690*T1^8*T2^9 + 
      2114*T1^9*T2^9 - 57*T1^10*T2^9 + 474*T1^11*T2^9 - 206*T1^12*T2^9 - 
      572*T1^13*T2^9 + 509*T1^14*T2^9 - 48*T1^15*T2^9 - 18*T1^16*T2^9 - 
      39*T1^2*T2^10 + 54*T1^3*T2^10 + 396*T1^4*T2^10 - 748*T1^5*T2^10 + 
      102*T1^6*T2^10 + 33*T1^7*T2^10 + 915*T1^8*T2^10 - 57*T1^9*T2^10 - 
      1389*T1^10*T2^10 + 141*T1^11*T2^10 - 228*T1^12*T2^10 + 
      734*T1^13*T2^10 - 412*T1^14*T2^10 - 54*T1^15*T2^10 + 39*T1^16*T2^10 + 
      30*T1^3*T2^11 - 102*T1^4*T2^11 - 66*T1^5*T2^11 + 362*T1^6*T2^11 + 
      262*T1^7*T2^11 - 1094*T1^8*T2^11 + 474*T1^9*T2^11 + 141*T1^10*T2^11 + 
      1120*T1^11*T2^11 - 674*T1^12*T2^11 - 190*T1^13*T2^11 + 
      168*T1^14*T2^11 + 114*T1^15*T2^11 - 45*T1^16*T2^11 - 13*T1^4*T2^12 + 
      78*T1^5*T2^12 - 8*T1^6*T2^12 - 623*T1^7*T2^12 + 956*T1^8*T2^12 - 
      206*T1^9*T2^12 - 228*T1^10*T2^12 - 674*T1^11*T2^12 - 40*T1^12*T2^12 + 
      757*T1^13*T2^12 - 412*T1^14*T2^12 - 54*T1^15*T2^12 + 39*T1^16*T2^12 - 
      78*T1^6*T2^13 + 314*T1^7*T2^13 - 131*T1^8*T2^13 - 572*T1^9*T2^13 + 
      734*T1^10*T2^13 - 190*T1^11*T2^13 + 757*T1^12*T2^13 - 893*T1^13*T2^13 + 
      275*T1^14*T2^13 + 114*T1^15*T2^13 - 45*T1^16*T2^13 + 13*T1^6*T2^14 - 
      6*T1^7*T2^14 - 224*T1^8*T2^14 + 509*T1^9*T2^14 - 412*T1^10*T2^14 + 
      168*T1^11*T2^14 - 412*T1^12*T2^14 + 275*T1^13*T2^14 + 88*T1^14*T2^14 - 
      162*T1^15*T2^14 + 39*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      48*T1^9*T2^15 - 54*T1^10*T2^15 + 114*T1^11*T2^15 - 54*T1^12*T2^15 + 
      114*T1^13*T2^15 - 162*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 39*T1^10*T2^16 - 45*T1^11*T2^16 + 
      39*T1^12*T2^16 - 45*T1^13*T2^16 + 39*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 466] -> 
  {(1 - 3*T + 7*T^2 - 10*T^3 + 11*T^4 - 10*T^5 + 7*T^6 - 3*T^7 + T^8)/T^4, 
   (-2 + 6*T1 - 14*T1^2 + 20*T1^3 - 22*T1^4 + 20*T1^5 - 14*T1^6 + 6*T1^7 - 
     2*T1^8 + 6*T2 - 15*T1*T2 + 33*T1^2*T2 - 39*T1^3*T2 + 36*T1^4*T2 - 
     27*T1^5*T2 + 12*T1^6*T2 + 3*T1^7*T2 - 3*T1^8*T2 + 3*T1^9*T2 - 14*T2^2 + 
     33*T1*T2^2 - 67*T1^2*T2^2 + 70*T1^3*T2^2 - 55*T1^4*T2^2 + 31*T1^5*T2^2 + 
     T1^6*T2^2 - 28*T1^7*T2^2 + 17*T1^8*T2^2 - 9*T1^9*T2^2 + 20*T2^3 - 
     39*T1*T2^3 + 70*T1^2*T2^3 - 59*T1^3*T2^3 + 38*T1^4*T2^3 - 37*T1^5*T2^3 + 
     32*T1^6*T2^3 - 25*T1^7*T2^3 + 61*T1^8*T2^3 - 56*T1^9*T2^3 + 
     30*T1^10*T2^3 - 10*T1^11*T2^3 - 22*T2^4 + 36*T1*T2^4 - 55*T1^2*T2^4 + 
     38*T1^3*T2^4 - 2*T1^4*T2^4 + 17*T1^5*T2^4 + 12*T1^6*T2^4 - 
     51*T1^7*T2^4 + 18*T1^8*T2^4 - 42*T1^9*T2^4 + 73*T1^10*T2^4 - 
     36*T1^11*T2^4 + 22*T1^12*T2^4 + 20*T2^5 - 27*T1*T2^5 + 31*T1^2*T2^5 - 
     37*T1^3*T2^5 + 17*T1^4*T2^5 - 135*T1^5*T2^5 + 138*T1^6*T2^5 - 
     149*T1^7*T2^5 + 219*T1^8*T2^5 - 144*T1^9*T2^5 + 50*T1^10*T2^5 - 
     92*T1^11*T2^5 + 24*T1^12*T2^5 - 30*T1^13*T2^5 - 14*T2^6 + 12*T1*T2^6 + 
     T1^2*T2^6 + 32*T1^3*T2^6 + 12*T1^4*T2^6 + 138*T1^5*T2^6 - 11*T1^6*T2^6 - 
     25*T1^7*T2^6 + 17*T1^8*T2^6 - 160*T1^9*T2^6 + 198*T1^10*T2^6 - 
     10*T1^11*T2^6 + 89*T1^12*T2^6 + 6*T1^13*T2^6 + 28*T1^14*T2^6 + 6*T2^7 + 
     3*T1*T2^7 - 28*T1^2*T2^7 - 25*T1^3*T2^7 - 51*T1^4*T2^7 - 149*T1^5*T2^7 - 
     25*T1^6*T2^7 - 108*T1^7*T2^7 + 186*T1^8*T2^7 - 87*T1^9*T2^7 + 
     116*T1^10*T2^7 - 262*T1^11*T2^7 - 30*T1^12*T2^7 - 70*T1^13*T2^7 - 
     39*T1^14*T2^7 - 15*T1^15*T2^7 - 2*T2^8 - 3*T1*T2^8 + 17*T1^2*T2^8 + 
     61*T1^3*T2^8 + 18*T1^4*T2^8 + 219*T1^5*T2^8 + 17*T1^6*T2^8 + 
     186*T1^7*T2^8 - 108*T1^8*T2^8 - 86*T1^9*T2^8 + 93*T1^10*T2^8 - 
     27*T1^11*T2^8 + 338*T1^12*T2^8 - 29*T1^13*T2^8 + 107*T1^14*T2^8 + 
     27*T1^15*T2^8 + 6*T1^16*T2^8 + 3*T1*T2^9 - 9*T1^2*T2^9 - 56*T1^3*T2^9 - 
     42*T1^4*T2^9 - 144*T1^5*T2^9 - 160*T1^6*T2^9 - 87*T1^7*T2^9 - 
     86*T1^8*T2^9 + 208*T1^9*T2^9 - 149*T1^10*T2^9 + 105*T1^11*T2^9 - 
     355*T1^12*T2^9 - 47*T1^13*T2^9 - 98*T1^14*T2^9 - 51*T1^15*T2^9 - 
     18*T1^16*T2^9 + 30*T1^3*T2^10 + 73*T1^4*T2^10 + 50*T1^5*T2^10 + 
     198*T1^6*T2^10 + 116*T1^7*T2^10 + 93*T1^8*T2^10 - 149*T1^9*T2^10 + 
     121*T1^10*T2^10 - 182*T1^11*T2^10 + 384*T1^12*T2^10 + 8*T1^13*T2^10 + 
     161*T1^14*T2^10 + 24*T1^15*T2^10 + 42*T1^16*T2^10 - 10*T1^3*T2^11 - 
     36*T1^4*T2^11 - 92*T1^5*T2^11 - 10*T1^6*T2^11 - 262*T1^7*T2^11 - 
     27*T1^8*T2^11 + 105*T1^9*T2^11 - 182*T1^10*T2^11 + 327*T1^11*T2^11 - 
     423*T1^12*T2^11 + 77*T1^13*T2^11 - 215*T1^14*T2^11 + 15*T1^15*T2^11 - 
     60*T1^16*T2^11 + 22*T1^4*T2^12 + 24*T1^5*T2^12 + 89*T1^6*T2^12 - 
     30*T1^7*T2^12 + 338*T1^8*T2^12 - 355*T1^9*T2^12 + 384*T1^10*T2^12 - 
     423*T1^11*T2^12 + 358*T1^12*T2^12 - 110*T1^13*T2^12 + 217*T1^14*T2^12 - 
     48*T1^15*T2^12 + 66*T1^16*T2^12 - 30*T1^5*T2^13 + 6*T1^6*T2^13 - 
     70*T1^7*T2^13 - 29*T1^8*T2^13 - 47*T1^9*T2^13 + 8*T1^10*T2^13 + 
     77*T1^11*T2^13 - 110*T1^12*T2^13 + 91*T1^13*T2^13 - 196*T1^14*T2^13 + 
     75*T1^15*T2^13 - 60*T1^16*T2^13 + 28*T1^6*T2^14 - 39*T1^7*T2^14 + 
     107*T1^8*T2^14 - 98*T1^9*T2^14 + 161*T1^10*T2^14 - 215*T1^11*T2^14 + 
     217*T1^12*T2^14 - 196*T1^13*T2^14 + 191*T1^14*T2^14 - 81*T1^15*T2^14 + 
     42*T1^16*T2^14 - 15*T1^7*T2^15 + 27*T1^8*T2^15 - 51*T1^9*T2^15 + 
     24*T1^10*T2^15 + 15*T1^11*T2^15 - 48*T1^12*T2^15 + 75*T1^13*T2^15 - 
     81*T1^14*T2^15 + 39*T1^15*T2^15 - 18*T1^16*T2^15 + 6*T1^8*T2^16 - 
     18*T1^9*T2^16 + 42*T1^10*T2^16 - 60*T1^11*T2^16 + 66*T1^12*T2^16 - 
     60*T1^13*T2^16 + 42*T1^14*T2^16 - 18*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 467] -> 
  {-((1 - 3*T + 5*T^2 - 8*T^3 + 9*T^4 - 8*T^5 + 5*T^6 - 3*T^7 + T^8)/T^4), 
   -((-5 + 15*T1 - 25*T1^2 + 40*T1^3 - 45*T1^4 + 40*T1^5 - 25*T1^6 + 
      15*T1^7 - 5*T1^8 + 15*T2 - 33*T1*T2 + 39*T1^2*T2 - 60*T1^3*T2 + 
      39*T1^4*T2 - 12*T1^5*T2 - 21*T1^6*T2 + 15*T1^7*T2 - 21*T1^8*T2 + 
      12*T1^9*T2 - 25*T2^2 + 39*T1*T2^2 - 32*T1^2*T2^2 + 66*T1^3*T2^2 - 
      14*T1^4*T2^2 - 2*T1^5*T2^2 + 26*T1^6*T2^2 + 16*T1^7*T2^2 + 
      8*T1^8*T2^2 + 9*T1^9*T2^2 - 15*T1^10*T2^2 + 40*T2^3 - 60*T1*T2^3 + 
      66*T1^2*T2^3 - 145*T1^3*T2^3 + 62*T1^4*T2^3 - 62*T1^5*T2^3 - 
      5*T1^6*T2^3 - 31*T1^7*T2^3 - 49*T1^8*T2^3 + 6*T1^9*T2^3 - 
      3*T1^10*T2^3 + 16*T1^11*T2^3 - 45*T2^4 + 39*T1*T2^4 - 14*T1^2*T2^4 + 
      62*T1^3*T2^4 + 136*T1^4*T2^4 - 138*T1^5*T2^4 + 234*T1^6*T2^4 - 
      126*T1^7*T2^4 + 184*T1^8*T2^4 - 34*T1^9*T2^4 + 22*T1^10*T2^4 - 
      21*T1^11*T2^4 - 9*T1^12*T2^4 + 40*T2^5 - 12*T1*T2^5 - 2*T1^2*T2^5 - 
      62*T1^3*T2^5 - 138*T1^4*T2^5 + 19*T1^5*T2^5 - 96*T1^6*T2^5 - 
      43*T1^7*T2^5 - 73*T1^8*T2^5 - 89*T1^9*T2^5 + 13*T1^10*T2^5 + 
      T1^11*T2^5 + 27*T1^12*T2^5 - 25*T2^6 - 21*T1*T2^6 + 26*T1^2*T2^6 - 
      5*T1^3*T2^6 + 234*T1^4*T2^6 - 96*T1^5*T2^6 + 262*T1^6*T2^6 - 
      154*T1^7*T2^6 + 262*T1^8*T2^6 - 18*T1^9*T2^6 + 96*T1^10*T2^6 - 
      35*T1^11*T2^6 - 22*T1^12*T2^6 - 15*T1^13*T2^6 + 5*T1^14*T2^6 + 
      15*T2^7 + 15*T1*T2^7 + 16*T1^2*T2^7 - 31*T1^3*T2^7 - 126*T1^4*T2^7 - 
      43*T1^5*T2^7 - 154*T1^6*T2^7 + 50*T1^7*T2^7 - 130*T1^8*T2^7 - 
      88*T1^9*T2^7 - 46*T1^10*T2^7 - 27*T1^11*T2^7 + 50*T1^12*T2^7 + 
      16*T1^13*T2^7 + 3*T1^14*T2^7 - 6*T1^15*T2^7 - 5*T2^8 - 21*T1*T2^8 + 
      8*T1^2*T2^8 - 49*T1^3*T2^8 + 184*T1^4*T2^8 - 73*T1^5*T2^8 + 
      262*T1^6*T2^8 - 130*T1^7*T2^8 + 120*T1^8*T2^8 + 74*T1^9*T2^8 + 
      30*T1^10*T2^8 + 61*T1^11*T2^8 - 60*T1^12*T2^8 - 15*T1^13*T2^8 - 
      14*T1^14*T2^8 + 9*T1^15*T2^8 + 3*T1^16*T2^8 + 12*T1*T2^9 + 
      9*T1^2*T2^9 + 6*T1^3*T2^9 - 34*T1^4*T2^9 - 89*T1^5*T2^9 - 
      18*T1^6*T2^9 - 88*T1^7*T2^9 + 74*T1^8*T2^9 - 106*T1^9*T2^9 - 
      22*T1^10*T2^9 - 21*T1^11*T2^9 + 10*T1^12*T2^9 + 47*T1^13*T2^9 + 
      6*T1^14*T2^9 - 3*T1^15*T2^9 - 9*T1^16*T2^9 - 15*T1^2*T2^10 - 
      3*T1^3*T2^10 + 22*T1^4*T2^10 + 13*T1^5*T2^10 + 96*T1^6*T2^10 - 
      46*T1^7*T2^10 + 30*T1^8*T2^10 - 22*T1^9*T2^10 + 30*T1^10*T2^10 + 
      32*T1^11*T2^10 - 42*T1^12*T2^10 - 17*T1^13*T2^10 - 26*T1^14*T2^10 + 
      3*T1^15*T2^10 + 15*T1^16*T2^10 + 16*T1^3*T2^11 - 21*T1^4*T2^11 + 
      T1^5*T2^11 - 35*T1^6*T2^11 - 27*T1^7*T2^11 + 61*T1^8*T2^11 - 
      21*T1^9*T2^11 + 32*T1^10*T2^11 - 31*T1^11*T2^11 + 22*T1^12*T2^11 + 
      40*T1^13*T2^11 + 4*T1^14*T2^11 + 18*T1^15*T2^11 - 24*T1^16*T2^11 - 
      9*T1^4*T2^12 + 27*T1^5*T2^12 - 22*T1^6*T2^12 + 50*T1^7*T2^12 - 
      60*T1^8*T2^12 + 10*T1^9*T2^12 - 42*T1^10*T2^12 + 22*T1^11*T2^12 - 
      12*T1^12*T2^12 - 46*T1^13*T2^12 + 14*T1^14*T2^12 - 33*T1^15*T2^12 + 
      27*T1^16*T2^12 - 15*T1^6*T2^13 + 16*T1^7*T2^13 - 15*T1^8*T2^13 + 
      47*T1^9*T2^13 - 17*T1^10*T2^13 + 40*T1^11*T2^13 - 46*T1^12*T2^13 + 
      81*T1^13*T2^13 - 44*T1^14*T2^13 + 42*T1^15*T2^13 - 24*T1^16*T2^13 + 
      5*T1^6*T2^14 + 3*T1^7*T2^14 - 14*T1^8*T2^14 + 6*T1^9*T2^14 - 
      26*T1^10*T2^14 + 4*T1^11*T2^14 + 14*T1^12*T2^14 - 44*T1^13*T2^14 + 
      26*T1^14*T2^14 - 27*T1^15*T2^14 + 15*T1^16*T2^14 - 6*T1^7*T2^15 + 
      9*T1^8*T2^15 - 3*T1^9*T2^15 + 3*T1^10*T2^15 + 18*T1^11*T2^15 - 
      33*T1^12*T2^15 + 42*T1^13*T2^15 - 27*T1^14*T2^15 + 21*T1^15*T2^15 - 
      9*T1^16*T2^15 + 3*T1^8*T2^16 - 9*T1^9*T2^16 + 15*T1^10*T2^16 - 
      24*T1^11*T2^16 + 27*T1^12*T2^16 - 24*T1^13*T2^16 + 15*T1^14*T2^16 - 
      9*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 468] -> 
  {(1 - 3*T + 5*T^2 - 6*T^3 + 7*T^4 - 6*T^5 + 5*T^6 - 3*T^7 + T^8)/T^4, 
   (-4 + 12*T1 - 20*T1^2 + 24*T1^3 - 28*T1^4 + 24*T1^5 - 20*T1^6 + 12*T1^7 - 
     4*T1^8 + 12*T2 - 27*T1*T2 + 33*T1^2*T2 - 27*T1^3*T2 + 30*T1^4*T2 - 
     9*T1^5*T2 + 6*T1^6*T2 + 9*T1^7*T2 - 15*T1^8*T2 + 9*T1^9*T2 - 20*T2^2 + 
     33*T1*T2^2 - 29*T1^2*T2^2 + 16*T1^3*T2^2 - 32*T1^4*T2^2 - 3*T1^5*T2^2 - 
     12*T1^6*T2^2 - 14*T1^7*T2^2 + 11*T1^8*T2^2 + 3*T1^9*T2^2 - 
     10*T1^10*T2^2 + 24*T2^3 - 27*T1*T2^3 + 16*T1^2*T2^3 - 7*T1^3*T2^3 + 
     39*T1^4*T2^3 + 16*T1^5*T2^3 + 19*T1^6*T2^3 + 24*T1^7*T2^3 - T1^8*T2^3 - 
     14*T1^9*T2^3 + 12*T1^10*T2^3 + 6*T1^11*T2^3 - 28*T2^4 + 30*T1*T2^4 - 
     32*T1^2*T2^4 + 39*T1^3*T2^4 - 91*T1^4*T2^4 + 19*T1^5*T2^4 - 
     77*T1^6*T2^4 + 7*T1^7*T2^4 - 31*T1^8*T2^4 + 15*T1^9*T2^4 - 
     18*T1^11*T2^4 + 24*T2^5 - 9*T1*T2^5 - 3*T1^2*T2^5 + 16*T1^3*T2^5 + 
     19*T1^4*T2^5 + 83*T1^5*T2^5 + 6*T1^6*T2^5 + 69*T1^7*T2^5 - 7*T1^8*T2^5 + 
     10*T1^9*T2^5 + T1^10*T2^5 + 6*T1^11*T2^5 + 18*T1^12*T2^5 - 
     6*T1^13*T2^5 - 20*T2^6 + 6*T1*T2^6 - 12*T1^2*T2^6 + 19*T1^3*T2^6 - 
     77*T1^4*T2^6 + 6*T1^5*T2^6 - 141*T1^6*T2^6 + 43*T1^7*T2^6 - 
     97*T1^8*T2^6 + 48*T1^9*T2^6 - 19*T1^10*T2^6 - 11*T1^11*T2^6 - 
     8*T1^12*T2^6 - 12*T1^13*T2^6 + 10*T1^14*T2^6 + 12*T2^7 + 9*T1*T2^7 - 
     14*T1^2*T2^7 + 24*T1^3*T2^7 + 7*T1^4*T2^7 + 69*T1^5*T2^7 + 
     43*T1^6*T2^7 + 76*T1^7*T2^7 + 4*T1^8*T2^7 + 25*T1^9*T2^7 - 
     36*T1^10*T2^7 + 28*T1^11*T2^7 + 3*T1^12*T2^7 + 16*T1^13*T2^7 - 
     3*T1^14*T2^7 - 9*T1^15*T2^7 - 4*T2^8 - 15*T1*T2^8 + 11*T1^2*T2^8 - 
     T1^3*T2^8 - 31*T1^4*T2^8 - 7*T1^5*T2^8 - 97*T1^6*T2^8 + 4*T1^7*T2^8 - 
     84*T1^8*T2^8 + 40*T1^9*T2^8 + 3*T1^10*T2^8 + 11*T1^11*T2^8 - 
     15*T1^12*T2^8 - 7*T1^13*T2^8 - 11*T1^14*T2^8 + 15*T1^15*T2^8 + 
     4*T1^16*T2^8 + 9*T1*T2^9 + 3*T1^2*T2^9 - 14*T1^3*T2^9 + 15*T1^4*T2^9 + 
     10*T1^5*T2^9 + 48*T1^6*T2^9 + 25*T1^7*T2^9 + 40*T1^8*T2^9 - 
     32*T1^9*T2^9 + 7*T1^10*T2^9 - 57*T1^11*T2^9 + 31*T1^12*T2^9 - 
     6*T1^13*T2^9 + 16*T1^14*T2^9 - 9*T1^15*T2^9 - 12*T1^16*T2^9 - 
     10*T1^2*T2^10 + 12*T1^3*T2^10 + T1^5*T2^10 - 19*T1^6*T2^10 - 
     36*T1^7*T2^10 + 3*T1^8*T2^10 + 7*T1^9*T2^10 + 47*T1^10*T2^10 + 
     6*T1^11*T2^10 + 39*T1^12*T2^10 - 29*T1^13*T2^10 + 4*T1^14*T2^10 - 
     6*T1^15*T2^10 + 20*T1^16*T2^10 + 6*T1^3*T2^11 - 18*T1^4*T2^11 + 
     6*T1^5*T2^11 - 11*T1^6*T2^11 + 28*T1^7*T2^11 + 11*T1^8*T2^11 - 
     57*T1^9*T2^11 + 6*T1^10*T2^11 - 79*T1^11*T2^11 + 19*T1^12*T2^11 - 
     26*T1^13*T2^11 + 15*T1^14*T2^11 + 9*T1^15*T2^11 - 24*T1^16*T2^11 + 
     18*T1^5*T2^12 - 8*T1^6*T2^12 + 3*T1^7*T2^12 - 15*T1^8*T2^12 + 
     31*T1^9*T2^12 + 39*T1^10*T2^12 + 19*T1^11*T2^12 + 45*T1^12*T2^12 - 
     21*T1^13*T2^12 + 24*T1^14*T2^12 - 30*T1^15*T2^12 + 28*T1^16*T2^12 - 
     6*T1^5*T2^13 - 12*T1^6*T2^13 + 16*T1^7*T2^13 - 7*T1^8*T2^13 - 
     6*T1^9*T2^13 - 29*T1^10*T2^13 - 26*T1^11*T2^13 - 21*T1^12*T2^13 - 
     T1^13*T2^13 - 14*T1^14*T2^13 + 27*T1^15*T2^13 - 24*T1^16*T2^13 + 
     10*T1^6*T2^14 - 3*T1^7*T2^14 - 11*T1^8*T2^14 + 16*T1^9*T2^14 + 
     4*T1^10*T2^14 + 15*T1^11*T2^14 + 24*T1^12*T2^14 - 14*T1^13*T2^14 + 
     29*T1^14*T2^14 - 33*T1^15*T2^14 + 20*T1^16*T2^14 - 9*T1^7*T2^15 + 
     15*T1^8*T2^15 - 9*T1^9*T2^15 - 6*T1^10*T2^15 + 9*T1^11*T2^15 - 
     30*T1^12*T2^15 + 27*T1^13*T2^15 - 33*T1^14*T2^15 + 27*T1^15*T2^15 - 
     12*T1^16*T2^15 + 4*T1^8*T2^16 - 12*T1^9*T2^16 + 20*T1^10*T2^16 - 
     24*T1^11*T2^16 + 28*T1^12*T2^16 - 24*T1^13*T2^16 + 20*T1^14*T2^16 - 
     12*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 469] -> 
  {(2 - 6*T + 12*T^2 - 15*T^3 + 12*T^4 - 6*T^5 + 2*T^6)/T^3, 
   (-15 + 45*T1 - 90*T1^2 + 113*T1^3 - 90*T1^4 + 45*T1^5 - 15*T1^6 + 45*T2 - 
     114*T1*T2 + 207*T1^2*T2 - 213*T1^3*T2 + 111*T1^4*T2 - 9*T1^5*T2 - 
     18*T1^6*T2 + 21*T1^7*T2 - 90*T2^2 + 207*T1*T2^2 - 305*T1^2*T2^2 + 
     190*T1^3*T2^2 + 89*T1^4*T2^2 - 242*T1^5*T2^2 + 175*T1^6*T2^2 - 
     81*T1^7*T2^2 + 6*T1^8*T2^2 + 113*T2^3 - 213*T1*T2^3 + 190*T1^2*T2^3 + 
     8*T1^3*T2^3 - 235*T1^4*T2^3 + 89*T1^5*T2^3 + 242*T1^6*T2^3 - 
     314*T1^7*T2^3 + 183*T1^8*T2^3 - 67*T1^9*T2^3 - 90*T2^4 + 111*T1*T2^4 + 
     89*T1^2*T2^4 - 235*T1^3*T2^4 + 346*T1^4*T2^4 + 34*T1^5*T2^4 - 
     314*T1^6*T2^4 + 125*T1^7*T2^4 + 161*T1^8*T2^4 - 105*T1^9*T2^4 + 
     102*T1^10*T2^4 + 45*T2^5 - 9*T1*T2^5 - 242*T1^2*T2^5 + 89*T1^3*T2^5 + 
     34*T1^4*T2^5 - 688*T1^5*T2^5 + 764*T1^6*T2^5 - 254*T1^7*T2^5 - 
     163*T1^8*T2^5 - 26*T1^9*T2^5 - 81*T1^10*T2^5 - 75*T1^11*T2^5 - 15*T2^6 - 
     18*T1*T2^6 + 175*T1^2*T2^6 + 242*T1^3*T2^6 - 314*T1^4*T2^6 + 
     764*T1^5*T2^6 - 228*T1^6*T2^6 - 532*T1^7*T2^6 + 694*T1^8*T2^6 - 
     118*T1^9*T2^6 + 175*T1^10*T2^6 + 126*T1^11*T2^6 + 33*T1^12*T2^6 + 
     21*T1*T2^7 - 81*T1^2*T2^7 - 314*T1^3*T2^7 + 125*T1^4*T2^7 - 
     254*T1^5*T2^7 - 532*T1^6*T2^7 + 920*T1^7*T2^7 - 542*T1^8*T2^7 - 
     127*T1^9*T2^7 - 98*T1^10*T2^7 - 153*T1^11*T2^7 - 99*T1^12*T2^7 + 
     6*T1^2*T2^8 + 183*T1^3*T2^8 + 161*T1^4*T2^8 - 163*T1^5*T2^8 + 
     694*T1^6*T2^8 - 542*T1^7*T2^8 + 34*T1^8*T2^8 + 197*T1^9*T2^8 + 
     233*T1^10*T2^8 - 33*T1^11*T2^8 + 198*T1^12*T2^8 - 67*T1^3*T2^9 - 
     105*T1^4*T2^9 - 26*T1^5*T2^9 - 118*T1^6*T2^9 - 127*T1^7*T2^9 + 
     197*T1^8*T2^9 + 116*T1^9*T2^9 - 530*T1^10*T2^9 + 291*T1^11*T2^9 - 
     247*T1^12*T2^9 + 102*T1^4*T2^10 - 81*T1^5*T2^10 + 175*T1^6*T2^10 - 
     98*T1^7*T2^10 + 233*T1^8*T2^10 - 530*T1^9*T2^10 + 655*T1^10*T2^10 - 
     369*T1^11*T2^10 + 198*T1^12*T2^10 - 75*T1^5*T2^11 + 126*T1^6*T2^11 - 
     153*T1^7*T2^11 - 33*T1^8*T2^11 + 291*T1^9*T2^11 - 369*T1^10*T2^11 + 
     222*T1^11*T2^11 - 99*T1^12*T2^11 + 33*T1^6*T2^12 - 99*T1^7*T2^12 + 
     198*T1^8*T2^12 - 247*T1^9*T2^12 + 198*T1^10*T2^12 - 99*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 470] -> 
  {-((2 - 6*T + 8*T^2 - 9*T^3 + 8*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-25 + 75*T1 - 100*T1^2 + 113*T1^3 - 100*T1^4 + 75*T1^5 - 25*T1^6 + 
      75*T2 - 174*T1*T2 + 147*T1^2*T2 - 135*T1^3*T2 + 69*T1^4*T2 - 
      21*T1^5*T2 - 78*T1^6*T2 + 51*T1^7*T2 - 100*T2^2 + 147*T1*T2^2 + 
      15*T1^2*T2^2 - 20*T1^3*T2^2 + 105*T1^4*T2^2 - 116*T1^5*T2^2 + 
      207*T1^6*T2^2 - 45*T1^7*T2^2 - 36*T1^8*T2^2 + 113*T2^3 - 135*T1*T2^3 - 
      20*T1^2*T2^3 - 102*T1^3*T2^3 - 19*T1^4*T2^3 + 41*T1^5*T2^3 - 
      180*T1^6*T2^3 - 68*T1^7*T2^3 + 93*T1^8*T2^3 + 5*T1^9*T2^3 - 100*T2^4 + 
      69*T1*T2^4 + 105*T1^2*T2^4 - 19*T1^3*T2^4 + 340*T1^4*T2^4 - 
      350*T1^5*T2^4 + 400*T1^6*T2^4 + 53*T1^7*T2^4 - 31*T1^8*T2^4 - 
      99*T1^9*T2^4 + 28*T1^10*T2^4 + 75*T2^5 - 21*T1*T2^5 - 116*T1^2*T2^5 + 
      41*T1^3*T2^5 - 350*T1^4*T2^5 + 170*T1^5*T2^5 - 142*T1^6*T2^5 - 
      254*T1^7*T2^5 + 5*T1^8*T2^5 + 124*T1^9*T2^5 + 51*T1^10*T2^5 - 
      45*T1^11*T2^5 - 25*T2^6 - 78*T1*T2^6 + 207*T1^2*T2^6 - 180*T1^3*T2^6 + 
      400*T1^4*T2^6 - 142*T1^5*T2^6 + 84*T1^6*T2^6 + 194*T1^7*T2^6 + 
      64*T1^8*T2^6 - 12*T1^9*T2^6 - 209*T1^10*T2^6 + 66*T1^11*T2^6 + 
      23*T1^12*T2^6 + 51*T1*T2^7 - 45*T1^2*T2^7 - 68*T1^3*T2^7 + 
      53*T1^4*T2^7 - 254*T1^5*T2^7 + 194*T1^6*T2^7 - 118*T1^7*T2^7 - 
      158*T1^8*T2^7 + 17*T1^9*T2^7 + 172*T1^10*T2^7 + 27*T1^11*T2^7 - 
      69*T1^12*T2^7 - 36*T1^2*T2^8 + 93*T1^3*T2^8 - 31*T1^4*T2^8 + 
      5*T1^5*T2^8 + 64*T1^6*T2^8 - 158*T1^7*T2^8 + 124*T1^8*T2^8 + 
      77*T1^9*T2^8 - 167*T1^10*T2^8 - 75*T1^11*T2^8 + 92*T1^12*T2^8 + 
      5*T1^3*T2^9 - 99*T1^4*T2^9 + 124*T1^5*T2^9 - 12*T1^6*T2^9 + 
      17*T1^7*T2^9 + 77*T1^8*T2^9 - 90*T1^9*T2^9 + 76*T1^10*T2^9 + 
      129*T1^11*T2^9 - 103*T1^12*T2^9 + 28*T1^4*T2^10 + 51*T1^5*T2^10 - 
      209*T1^6*T2^10 + 172*T1^7*T2^10 - 167*T1^8*T2^10 + 76*T1^9*T2^10 - 
      17*T1^10*T2^10 - 141*T1^11*T2^10 + 92*T1^12*T2^10 - 45*T1^5*T2^11 + 
      66*T1^6*T2^11 + 27*T1^7*T2^11 - 75*T1^8*T2^11 + 129*T1^9*T2^11 - 
      141*T1^10*T2^11 + 162*T1^11*T2^11 - 69*T1^12*T2^11 + 23*T1^6*T2^12 - 
      69*T1^7*T2^12 + 92*T1^8*T2^12 - 103*T1^9*T2^12 + 92*T1^10*T2^12 - 
      69*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 471] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 125*T1 - 250*T1^2 + 297*T1^3 - 250*T1^4 + 125*T1^5 - 31*T1^6 + 
     125*T2 - 408*T1*T2 + 627*T1^2*T2 - 441*T1^3*T2 + 119*T1^4*T2 + 
     243*T1^5*T2 - 248*T1^6*T2 + 93*T1^7*T2 - 250*T2^2 + 627*T1*T2^2 - 
     626*T1^2*T2^2 - 129*T1^3*T2^2 + 560*T1^4*T2^2 - 833*T1^5*T2^2 + 
     270*T1^6*T2^2 + 115*T1^7*T2^2 - 122*T1^8*T2^2 + 297*T2^3 - 441*T1*T2^3 - 
     129*T1^2*T2^3 + 1280*T1^3*T2^3 - 1059*T1^4*T2^3 + 685*T1^5*T2^3 + 
     602*T1^6*T2^3 - 673*T1^7*T2^3 + 215*T1^8*T2^3 + 69*T1^9*T2^3 - 
     250*T2^4 + 119*T1*T2^4 + 560*T1^2*T2^4 - 1059*T1^3*T2^4 - 
     406*T1^4*T2^4 + 1078*T1^5*T2^4 - 1958*T1^6*T2^4 + 765*T1^7*T2^4 + 
     176*T1^8*T2^4 - 297*T1^9*T2^4 + 6*T1^10*T2^4 + 125*T2^5 + 243*T1*T2^5 - 
     833*T1^2*T2^5 + 685*T1^3*T2^5 + 1078*T1^4*T2^5 - 1136*T1^5*T2^5 + 
     1088*T1^6*T2^5 + 566*T1^7*T2^5 - 899*T1^8*T2^5 + 351*T1^9*T2^5 + 
     115*T1^10*T2^5 - 35*T1^11*T2^5 - 31*T2^6 - 248*T1*T2^6 + 270*T1^2*T2^6 + 
     602*T1^3*T2^6 - 1958*T1^4*T2^6 + 1088*T1^5*T2^6 - 168*T1^6*T2^6 - 
     1152*T1^7*T2^6 + 730*T1^8*T2^6 + 146*T1^9*T2^6 - 370*T1^10*T2^6 + 
     72*T1^11*T2^6 + 17*T1^12*T2^6 + 93*T1*T2^7 + 115*T1^2*T2^7 - 
     673*T1^3*T2^7 + 765*T1^4*T2^7 + 566*T1^5*T2^7 - 1152*T1^6*T2^7 + 
     1072*T1^7*T2^7 + 54*T1^8*T2^7 - 819*T1^9*T2^7 + 511*T1^10*T2^7 - 
     13*T1^11*T2^7 - 67*T1^12*T2^7 - 122*T1^2*T2^8 + 215*T1^3*T2^8 + 
     176*T1^4*T2^8 - 899*T1^5*T2^8 + 730*T1^6*T2^8 + 54*T1^7*T2^8 - 
     822*T1^8*T2^8 + 925*T1^9*T2^8 - 208*T1^10*T2^8 - 201*T1^11*T2^8 + 
     134*T1^12*T2^8 + 69*T1^3*T2^9 - 297*T1^4*T2^9 + 351*T1^5*T2^9 + 
     146*T1^6*T2^9 - 819*T1^7*T2^9 + 925*T1^8*T2^9 - 532*T1^9*T2^9 - 
     193*T1^10*T2^9 + 359*T1^11*T2^9 - 159*T1^12*T2^9 + 6*T1^4*T2^10 + 
     115*T1^5*T2^10 - 370*T1^6*T2^10 + 511*T1^7*T2^10 - 208*T1^8*T2^10 - 
     193*T1^9*T2^10 + 526*T1^10*T2^10 - 397*T1^11*T2^10 + 134*T1^12*T2^10 - 
     35*T1^5*T2^11 + 72*T1^6*T2^11 - 13*T1^7*T2^11 - 201*T1^8*T2^11 + 
     359*T1^9*T2^11 - 397*T1^10*T2^11 + 232*T1^11*T2^11 - 67*T1^12*T2^11 + 
     17*T1^6*T2^12 - 67*T1^7*T2^12 + 134*T1^8*T2^12 - 159*T1^9*T2^12 + 
     134*T1^10*T2^12 - 67*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 472] -> 
  {(1 - T + 2*T^3 - 4*T^4 + 5*T^5 - 4*T^6 + 2*T^7 - T^9 + T^10)/T^5, 
   (-10 + 10*T1 - 20*T1^3 + 40*T1^4 - 50*T1^5 + 40*T1^6 - 20*T1^7 + 10*T1^9 - 
     10*T1^10 + 10*T2 - T1*T2 - 9*T1^2*T2 + 20*T1^3*T2 - 22*T1^4*T2 + 
     14*T1^5*T2 + 5*T1^6*T2 - 16*T1^7*T2 + 18*T1^8*T2 - 10*T1^9*T2 + 
     T1^10*T2 + 9*T1^11*T2 - 9*T1*T2^2 + 9*T1^2*T2^2 - 18*T1^4*T2^2 + 
     36*T1^5*T2^2 - 45*T1^6*T2^2 + 36*T1^7*T2^2 - 18*T1^8*T2^2 + 
     9*T1^10*T2^2 - 9*T1^11*T2^2 - 20*T2^3 + 20*T1*T2^3 - 48*T1^3*T2^3 + 
     84*T1^4*T2^3 - 90*T1^5*T2^3 + 48*T1^6*T2^3 + 12*T1^7*T2^3 - 
     60*T1^8*T2^3 + 66*T1^9*T2^3 - 42*T1^10*T2^3 + 14*T1^12*T2^3 - 
     14*T1^13*T2^3 + 40*T2^4 - 22*T1*T2^4 - 18*T1^2*T2^4 + 84*T1^3*T2^4 - 
     106*T1^4*T2^4 + 98*T1^5*T2^4 - 41*T1^6*T2^4 + 11*T1^8*T2^4 + 
     18*T1^9*T2^4 - 38*T1^10*T2^4 + 56*T1^11*T2^4 - 14*T1^12*T2^4 - 
     10*T1^13*T2^4 + 24*T1^14*T2^4 - 50*T2^5 + 14*T1*T2^5 + 36*T1^2*T2^5 - 
     90*T1^3*T2^5 + 98*T1^4*T2^5 - 89*T1^5*T2^5 + 29*T1^6*T2^5 + 
     4*T1^7*T2^5 - 18*T1^8*T2^5 + 14*T1^9*T2^5 - 25*T1^10*T2^5 + 
     10*T1^11*T2^5 - 40*T1^12*T2^5 + 24*T1^13*T2^5 + T1^14*T2^5 - 
     25*T1^15*T2^5 + 40*T2^6 + 5*T1*T2^6 - 45*T1^2*T2^6 + 48*T1^3*T2^6 - 
     41*T1^4*T2^6 + 29*T1^5*T2^6 + 4*T1^6*T2^6 + T1^7*T2^6 - 12*T1^8*T2^6 + 
     9*T1^9*T2^6 + 4*T1^10*T2^6 + 9*T1^11*T2^6 + 15*T1^12*T2^6 - 
     25*T1^14*T2^6 + 9*T1^15*T2^6 + 16*T1^16*T2^6 - 20*T2^7 - 16*T1*T2^7 + 
     36*T1^2*T2^7 + 12*T1^3*T2^7 + 4*T1^5*T2^7 + T1^6*T2^7 - 18*T1^7*T2^7 + 
     24*T1^8*T2^7 + 6*T1^9*T2^7 - 16*T1^10*T2^7 + 9*T1^11*T2^7 - 
     14*T1^12*T2^7 + 32*T1^14*T2^7 + 16*T1^15*T2^7 - 10*T1^16*T2^7 - 
     6*T1^17*T2^7 + 18*T1*T2^8 - 18*T1^2*T2^8 - 60*T1^3*T2^8 + 11*T1^4*T2^8 - 
     18*T1^5*T2^8 - 12*T1^6*T2^8 + 24*T1^7*T2^8 - 24*T1^8*T2^8 - 
     14*T1^9*T2^8 + 4*T1^11*T2^8 - 12*T1^12*T2^8 + 10*T1^13*T2^8 - 
     33*T1^14*T2^8 - 40*T1^15*T2^8 - 6*T1^16*T2^8 + 6*T1^17*T2^8 + 10*T2^9 - 
     10*T1*T2^9 + 66*T1^3*T2^9 + 18*T1^4*T2^9 + 14*T1^5*T2^9 + 9*T1^6*T2^9 + 
     6*T1^7*T2^9 - 14*T1^8*T2^9 + 33*T1^9*T2^9 + 15*T1^10*T2^9 - 
     14*T1^11*T2^9 + 20*T1^12*T2^9 + T1^13*T2^9 + 9*T1^14*T2^9 + 
     58*T1^15*T2^9 + 24*T1^16*T2^9 - T1^18*T2^9 + T1^19*T2^9 - 10*T2^10 + 
     T1*T2^10 + 9*T1^2*T2^10 - 42*T1^3*T2^10 - 38*T1^4*T2^10 - 
     25*T1^5*T2^10 + 4*T1^6*T2^10 - 16*T1^7*T2^10 + 15*T1^9*T2^10 - 
     60*T1^10*T2^10 + 29*T1^11*T2^10 - 16*T1^12*T2^10 - 12*T1^13*T2^10 + 
     4*T1^14*T2^10 - 39*T1^15*T2^10 - 46*T1^16*T2^10 - 6*T1^17*T2^10 + 
     T1^18*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - 9*T1^2*T2^11 + 56*T1^4*T2^11 + 
     10*T1^5*T2^11 + 9*T1^6*T2^11 + 9*T1^7*T2^11 + 4*T1^8*T2^11 - 
     14*T1^9*T2^11 + 29*T1^10*T2^11 + 11*T1^11*T2^11 - 14*T1^12*T2^11 + 
     18*T1^13*T2^11 + T1^14*T2^11 + 4*T1^15*T2^11 + 50*T1^16*T2^11 + 
     14*T1^17*T2^11 + 14*T1^3*T2^12 - 14*T1^4*T2^12 - 40*T1^5*T2^12 + 
     15*T1^6*T2^12 - 14*T1^7*T2^12 - 12*T1^8*T2^12 + 20*T1^9*T2^12 - 
     16*T1^10*T2^12 - 14*T1^11*T2^12 + 8*T1^12*T2^12 - 12*T1^14*T2^12 + 
     14*T1^15*T2^12 - 29*T1^16*T2^12 - 20*T1^17*T2^12 - 2*T1^18*T2^12 + 
     2*T1^19*T2^12 - 14*T1^3*T2^13 - 10*T1^4*T2^13 + 24*T1^5*T2^13 + 
     10*T1^8*T2^13 + T1^9*T2^13 - 12*T1^10*T2^13 + 18*T1^11*T2^13 - 
     10*T1^13*T2^13 + 9*T1^14*T2^13 - 8*T1^15*T2^13 + 20*T1^17*T2^13 + 
     4*T1^18*T2^13 - 4*T1^19*T2^13 + 24*T1^4*T2^14 + T1^5*T2^14 - 
     25*T1^6*T2^14 + 32*T1^7*T2^14 - 33*T1^8*T2^14 + 9*T1^9*T2^14 + 
     4*T1^10*T2^14 + T1^11*T2^14 - 12*T1^12*T2^14 + 9*T1^13*T2^14 + 
     4*T1^14*T2^14 - 11*T1^15*T2^14 + 23*T1^16*T2^14 - 16*T1^17*T2^14 - 
     5*T1^18*T2^14 + 5*T1^19*T2^14 - 25*T1^5*T2^15 + 9*T1^6*T2^15 + 
     16*T1^7*T2^15 - 40*T1^8*T2^15 + 58*T1^9*T2^15 - 39*T1^10*T2^15 + 
     4*T1^11*T2^15 + 14*T1^12*T2^15 - 8*T1^13*T2^15 - 11*T1^14*T2^15 + 
     25*T1^15*T2^15 - 30*T1^16*T2^15 + 10*T1^17*T2^15 + 4*T1^18*T2^15 - 
     4*T1^19*T2^15 + 16*T1^6*T2^16 - 10*T1^7*T2^16 - 6*T1^8*T2^16 + 
     24*T1^9*T2^16 - 46*T1^10*T2^16 + 50*T1^11*T2^16 - 29*T1^12*T2^16 + 
     23*T1^14*T2^16 - 30*T1^15*T2^16 + 22*T1^16*T2^16 - 4*T1^17*T2^16 - 
     2*T1^18*T2^16 + 2*T1^19*T2^16 - 6*T1^7*T2^17 + 6*T1^8*T2^17 - 
     6*T1^10*T2^17 + 14*T1^11*T2^17 - 20*T1^12*T2^17 + 20*T1^13*T2^17 - 
     16*T1^14*T2^17 + 10*T1^15*T2^17 - 4*T1^16*T2^17 - T1^9*T2^18 + 
     T1^10*T2^18 - 2*T1^12*T2^18 + 4*T1^13*T2^18 - 5*T1^14*T2^18 + 
     4*T1^15*T2^18 - 2*T1^16*T2^18 + T1^18*T2^18 - T1^19*T2^18 + T1^9*T2^19 - 
     T1^10*T2^19 + 2*T1^12*T2^19 - 4*T1^13*T2^19 + 5*T1^14*T2^19 - 
     4*T1^15*T2^19 + 2*T1^16*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, NonAlternating, 473] -> 
  {(2 - 3*T + T^2 + 3*T^3 - 5*T^4 + 3*T^5 + T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 32*T1^2 + 98*T1^3 - 163*T1^4 + 98*T1^5 + 32*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 79*T1^2*T2 - 188*T1^3*T2 + 
      115*T1^4*T2 + 67*T1^5*T2 - 176*T1^6*T2 + 103*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 32*T2^2 + 79*T1*T2^2 - 150*T1^2*T2^2 + 75*T1^3*T2^2 + 
      123*T1^4*T2^2 - 234*T1^5*T2^2 + 147*T1^6*T2^2 + 51*T1^7*T2^2 - 
      146*T1^8*T2^2 + 91*T1^9*T2^2 + 24*T1^10*T2^2 + 98*T2^3 - 188*T1*T2^3 + 
      75*T1^2*T2^3 + 213*T1^3*T2^3 - 371*T1^4*T2^3 + 205*T1^5*T2^3 + 
      145*T1^6*T2^3 - 329*T1^7*T2^3 + 207*T1^8*T2^3 + 42*T1^9*T2^3 - 
      128*T1^10*T2^3 + 62*T1^11*T2^3 - 163*T2^4 + 115*T1*T2^4 + 
      123*T1^2*T2^4 - 371*T1^3*T2^4 + 247*T1^4*T2^4 + 134*T1^5*T2^4 - 
      407*T1^6*T2^4 + 266*T1^7*T2^4 + 75*T1^8*T2^4 - 269*T1^9*T2^4 + 
      109*T1^10*T2^4 + 31*T1^11*T2^4 - 83*T1^12*T2^4 + 98*T2^5 + 67*T1*T2^5 - 
      234*T1^2*T2^5 + 205*T1^3*T2^5 + 134*T1^4*T2^5 - 390*T1^5*T2^5 + 
      290*T1^6*T2^5 + 104*T1^7*T2^5 - 336*T1^8*T2^5 + 227*T1^9*T2^5 + 
      85*T1^10*T2^5 - 135*T1^11*T2^5 + 67*T1^12*T2^5 + 38*T1^13*T2^5 + 
      32*T2^6 - 176*T1*T2^6 + 147*T1^2*T2^6 + 145*T1^3*T2^6 - 407*T1^4*T2^6 + 
      290*T1^5*T2^6 + 113*T1^6*T2^6 - 401*T1^7*T2^6 + 281*T1^8*T2^6 + 
      62*T1^9*T2^6 - 249*T1^10*T2^6 + 115*T1^11*T2^6 + 47*T1^12*T2^6 - 
      68*T1^13*T2^6 + 8*T1^14*T2^6 - 97*T2^7 + 103*T1*T2^7 + 51*T1^2*T2^7 - 
      329*T1^3*T2^7 + 266*T1^4*T2^7 + 104*T1^5*T2^7 - 401*T1^6*T2^7 + 
      319*T1^7*T2^7 + 31*T1^8*T2^7 - 296*T1^9*T2^7 + 206*T1^10*T2^7 + 
      17*T1^11*T2^7 - 131*T1^12*T2^7 + 30*T1^13*T2^7 + 7*T1^14*T2^7 - 
      13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 146*T1^2*T2^8 + 207*T1^3*T2^8 + 
      75*T1^4*T2^8 - 336*T1^5*T2^8 + 281*T1^6*T2^8 + 31*T1^7*T2^8 - 
      288*T1^8*T2^8 + 265*T1^9*T2^8 + 7*T1^10*T2^8 - 156*T1^11*T2^8 + 
      123*T1^12*T2^8 + 33*T1^13*T2^8 - 24*T1^14*T2^8 + 18*T1^15*T2^8 + 
      T1^16*T2^8 - 85*T1*T2^9 + 91*T1^2*T2^9 + 42*T1^3*T2^9 - 269*T1^4*T2^9 + 
      227*T1^5*T2^9 + 62*T1^6*T2^9 - 296*T1^7*T2^9 + 265*T1^8*T2^9 - 
      23*T1^9*T2^9 - 191*T1^10*T2^9 + 164*T1^11*T2^9 - 22*T1^12*T2^9 - 
      71*T1^13*T2^9 + 21*T1^14*T2^9 - 5*T1^15*T2^9 - T1^16*T2^9 + 
      24*T1^2*T2^10 - 128*T1^3*T2^10 + 109*T1^4*T2^10 + 85*T1^5*T2^10 - 
      249*T1^6*T2^10 + 206*T1^7*T2^10 + 7*T1^8*T2^10 - 191*T1^9*T2^10 + 
      175*T1^10*T2^10 - 22*T1^11*T2^10 - 91*T1^12*T2^10 + 55*T1^13*T2^10 + 
      9*T1^14*T2^10 - 20*T1^15*T2^10 + 62*T1^3*T2^11 + 31*T1^4*T2^11 - 
      135*T1^5*T2^11 + 115*T1^6*T2^11 + 17*T1^7*T2^11 - 156*T1^8*T2^11 + 
      164*T1^9*T2^11 - 22*T1^10*T2^11 - 102*T1^11*T2^11 + 110*T1^12*T2^11 - 
      5*T1^13*T2^11 - 36*T1^14*T2^11 + 31*T1^15*T2^11 + 2*T1^16*T2^11 - 
      83*T1^4*T2^12 + 67*T1^5*T2^12 + 47*T1^6*T2^12 - 131*T1^7*T2^12 + 
      123*T1^8*T2^12 - 22*T1^9*T2^12 - 91*T1^10*T2^12 + 110*T1^11*T2^12 - 
      49*T1^12*T2^12 - 29*T1^13*T2^12 + 33*T1^14*T2^12 - 17*T1^15*T2^12 - 
      3*T1^16*T2^12 + 38*T1^5*T2^13 - 68*T1^6*T2^13 + 30*T1^7*T2^13 + 
      33*T1^8*T2^13 - 71*T1^9*T2^13 + 55*T1^10*T2^13 - 5*T1^11*T2^13 - 
      29*T1^12*T2^13 + 27*T1^13*T2^13 - 3*T1^14*T2^13 - 8*T1^15*T2^13 + 
      2*T1^16*T2^13 + 8*T1^6*T2^14 + 7*T1^7*T2^14 - 24*T1^8*T2^14 + 
      21*T1^9*T2^14 + 9*T1^10*T2^14 - 36*T1^11*T2^14 + 33*T1^12*T2^14 - 
      3*T1^13*T2^14 - 20*T1^14*T2^14 + 19*T1^15*T2^14 - 13*T1^7*T2^15 + 
      18*T1^8*T2^15 - 5*T1^9*T2^15 - 20*T1^10*T2^15 + 31*T1^11*T2^15 - 
      17*T1^12*T2^15 - 8*T1^13*T2^15 + 19*T1^14*T2^15 - 12*T1^15*T2^15 - 
      T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + 2*T1^11*T2^16 - 3*T1^12*T2^16 + 
      2*T1^13*T2^16 - T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 474] -> 
  {(2 - 3*T + 2*T^2 - T^3 + T^4 - T^5 + 2*T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 64*T1^2 - 31*T1^3 + 31*T1^4 - 31*T1^5 + 64*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 31*T1^2*T2 - 37*T1^3*T2 - 
      6*T1^4*T2 + 6*T1^5*T2 - 55*T1^6*T2 + 61*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 64*T2^2 + 31*T1*T2^2 - 82*T1^2*T2^2 + 28*T1^3*T2^2 + 
      13*T1^4*T2^2 + 10*T1^5*T2^2 + 21*T1^6*T2^2 + 12*T1^7*T2^2 - 
      82*T1^8*T2^2 + 55*T1^9*T2^2 + 48*T1^10*T2^2 - 31*T2^3 - 37*T1*T2^3 + 
      28*T1^2*T2^3 + 16*T1^3*T2^3 - 16*T1^4*T2^3 - 9*T1^5*T2^3 - 
      15*T1^6*T2^3 - 10*T1^7*T2^3 + 28*T1^8*T2^3 + 10*T1^9*T2^3 - 
      43*T1^10*T2^3 - 19*T1^11*T2^3 + 31*T2^4 - 6*T1*T2^4 + 13*T1^2*T2^4 - 
      16*T1^3*T2^4 + 10*T1^4*T2^4 - 5*T1^5*T2^4 + 26*T1^6*T2^4 - 
      15*T1^7*T2^4 + 6*T1^8*T2^4 - 8*T1^9*T2^4 + 15*T1^10*T2^4 + 
      6*T1^11*T2^4 + 15*T1^12*T2^4 - 31*T2^5 + 6*T1*T2^5 + 10*T1^2*T2^5 - 
      9*T1^3*T2^5 - 5*T1^4*T2^5 + 5*T1^5*T2^5 - 17*T1^6*T2^5 + 10*T1^7*T2^5 + 
      5*T1^8*T2^5 - 12*T1^9*T2^5 - 11*T1^10*T2^5 + 7*T1^11*T2^5 - 
      6*T1^12*T2^5 - 11*T1^13*T2^5 + 64*T2^6 - 55*T1*T2^6 + 21*T1^2*T2^6 - 
      15*T1^3*T2^6 + 26*T1^4*T2^6 - 17*T1^5*T2^6 + 30*T1^6*T2^6 - 
      34*T1^7*T2^6 + 10*T1^8*T2^6 + 11*T1^9*T2^6 + 14*T1^10*T2^6 - 
      3*T1^11*T2^6 + T1^12*T2^6 - 7*T1^13*T2^6 + 16*T1^14*T2^6 - 97*T2^7 + 
      61*T1*T2^7 + 12*T1^2*T2^7 - 10*T1^3*T2^7 - 15*T1^4*T2^7 + 
      10*T1^5*T2^7 - 34*T1^6*T2^7 + 57*T1^7*T2^7 - 19*T1^8*T2^7 - 
      19*T1^9*T2^7 - 15*T1^10*T2^7 + 4*T1^11*T2^7 - 8*T1^12*T2^7 + 
      18*T1^13*T2^7 - 5*T1^14*T2^7 - 13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 
      82*T1^2*T2^8 + 28*T1^3*T2^8 + 6*T1^4*T2^8 + 5*T1^5*T2^8 + 
      10*T1^6*T2^8 - 19*T1^7*T2^8 - 36*T1^8*T2^8 + 47*T1^9*T2^8 + 
      12*T1^10*T2^8 - T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^13*T2^8 - 
      16*T1^14*T2^8 + 18*T1^15*T2^8 + T1^16*T2^8 - 85*T1*T2^9 + 
      55*T1^2*T2^9 + 10*T1^3*T2^9 - 8*T1^4*T2^9 - 12*T1^5*T2^9 + 
      11*T1^6*T2^9 - 19*T1^7*T2^9 + 47*T1^8*T2^9 - 29*T1^9*T2^9 - 
      4*T1^10*T2^9 - 14*T1^11*T2^9 + 7*T1^12*T2^9 - 6*T1^13*T2^9 + 
      16*T1^14*T2^9 - 11*T1^15*T2^9 - T1^16*T2^9 + 48*T1^2*T2^10 - 
      43*T1^3*T2^10 + 15*T1^4*T2^10 - 11*T1^5*T2^10 + 14*T1^6*T2^10 - 
      15*T1^7*T2^10 + 12*T1^8*T2^10 - 4*T1^9*T2^10 - 8*T1^10*T2^10 + 
      13*T1^11*T2^10 + 2*T1^12*T2^10 + T1^13*T2^10 - 5*T1^14*T2^10 + 
      5*T1^15*T2^10 - 19*T1^3*T2^11 + 6*T1^4*T2^11 + 7*T1^5*T2^11 - 
      3*T1^6*T2^11 + 4*T1^7*T2^11 - T1^8*T2^11 - 14*T1^9*T2^11 + 
      13*T1^10*T2^11 - T1^11*T2^11 - 3*T1^12*T2^11 - 5*T1^13*T2^11 + 
      4*T1^14*T2^11 - 6*T1^15*T2^11 + T1^16*T2^11 + 15*T1^4*T2^12 - 
      6*T1^5*T2^12 + T1^6*T2^12 - 8*T1^7*T2^12 + 2*T1^8*T2^12 + 
      7*T1^9*T2^12 + 2*T1^10*T2^12 - 3*T1^11*T2^12 - 2*T1^12*T2^12 + 
      3*T1^14*T2^12 + 6*T1^15*T2^12 - T1^16*T2^12 - 11*T1^5*T2^13 - 
      7*T1^6*T2^13 + 18*T1^7*T2^13 - 4*T1^8*T2^13 - 6*T1^9*T2^13 + 
      T1^10*T2^13 - 5*T1^11*T2^13 + 8*T1^13*T2^13 - 13*T1^15*T2^13 + 
      T1^16*T2^13 + 16*T1^6*T2^14 - 5*T1^7*T2^14 - 16*T1^8*T2^14 + 
      16*T1^9*T2^14 - 5*T1^10*T2^14 + 4*T1^11*T2^14 + 3*T1^12*T2^14 - 
      16*T1^14*T2^14 + 19*T1^15*T2^14 - 13*T1^7*T2^15 + 18*T1^8*T2^15 - 
      11*T1^9*T2^15 + 5*T1^10*T2^15 - 6*T1^11*T2^15 + 6*T1^12*T2^15 - 
      13*T1^13*T2^15 + 19*T1^14*T2^15 - 12*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + T1^13*T2^16 - 
      T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 475] -> {(1 - 2*T + T^2 + T^3 + T^4 - 2*T^5 + T^6)/
    T^3, (-2 + 4*T1 - 2*T1^2 - 2*T1^3 - 2*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
     6*T1*T2 + 6*T1^3*T2 + 6*T1^4*T2 - 6*T1^5*T2 + 2*T1^7*T2 - 2*T2^2 + 
     6*T1^2*T2^2 - 6*T1^3*T2^2 - 6*T1^4*T2^2 + 6*T1^6*T2^2 - 4*T1^7*T2^2 - 
     2*T2^3 + 6*T1*T2^3 - 6*T1^2*T2^3 - T1^3*T2^3 - T1^4*T2^3 + 8*T1^5*T2^3 - 
     7*T1^6*T2^3 + 3*T1^7*T2^3 - 2*T1^8*T2^3 + T1^9*T2^3 - 2*T2^4 + 
     6*T1*T2^4 - 6*T1^2*T2^4 - T1^3*T2^4 - 11*T1^4*T2^4 + 27*T1^5*T2^4 - 
     23*T1^6*T2^4 + 3*T1^7*T2^4 + 6*T1^8*T2^4 - 6*T1^9*T2^4 + 2*T1^10*T2^4 + 
     4*T2^5 - 6*T1*T2^5 + 8*T1^3*T2^5 + 27*T1^4*T2^5 - 17*T1^5*T2^5 - 
     5*T1^6*T2^5 + 20*T1^7*T2^5 - 11*T1^8*T2^5 + 3*T1^9*T2^5 + 8*T1^10*T2^5 - 
     6*T1^11*T2^5 - 2*T2^6 + 6*T1^2*T2^6 - 7*T1^3*T2^6 - 23*T1^4*T2^6 - 
     5*T1^5*T2^6 + 12*T1^6*T2^6 - 11*T1^7*T2^6 - T1^8*T2^6 + 11*T1^9*T2^6 - 
     18*T1^10*T2^6 + 4*T1^11*T2^6 + 4*T1^12*T2^6 + 2*T1*T2^7 - 4*T1^2*T2^7 + 
     3*T1^3*T2^7 + 3*T1^4*T2^7 + 20*T1^5*T2^7 - 11*T1^6*T2^7 + T1^7*T2^7 + 
     13*T1^8*T2^7 - 16*T1^9*T2^7 + 6*T1^10*T2^7 + 10*T1^11*T2^7 - 
     8*T1^12*T2^7 - 2*T1^3*T2^8 + 6*T1^4*T2^8 - 11*T1^5*T2^8 - T1^6*T2^8 + 
     13*T1^7*T2^8 - 13*T1^8*T2^8 - 7*T1^9*T2^8 + 18*T1^10*T2^8 - 
     14*T1^11*T2^8 + 4*T1^12*T2^8 + T1^3*T2^9 - 6*T1^4*T2^9 + 3*T1^5*T2^9 + 
     11*T1^6*T2^9 - 16*T1^7*T2^9 - 7*T1^8*T2^9 + 5*T1^9*T2^9 + 
     12*T1^10*T2^9 - 14*T1^11*T2^9 + 4*T1^12*T2^9 + 2*T1^4*T2^10 + 
     8*T1^5*T2^10 - 18*T1^6*T2^10 + 6*T1^7*T2^10 + 18*T1^8*T2^10 + 
     12*T1^9*T2^10 - 18*T1^10*T2^10 + 4*T1^11*T2^10 + 4*T1^12*T2^10 - 
     6*T1^5*T2^11 + 4*T1^6*T2^11 + 10*T1^7*T2^11 - 14*T1^8*T2^11 - 
     14*T1^9*T2^11 + 4*T1^10*T2^11 + 10*T1^11*T2^11 - 8*T1^12*T2^11 + 
     4*T1^6*T2^12 - 8*T1^7*T2^12 + 4*T1^8*T2^12 + 4*T1^9*T2^12 + 
     4*T1^10*T2^12 - 8*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 476] -> 
  {-((3 - 10*T + 15*T^2 - 17*T^3 + 15*T^4 - 10*T^5 + 3*T^6)/T^3), 
   -((-138 + 456*T1 - 680*T1^2 + 770*T1^3 - 680*T1^4 + 456*T1^5 - 138*T1^6 + 
      456*T2 - 1142*T1*T2 + 1042*T1^2*T2 - 748*T1^3*T2 + 212*T1^4*T2 + 
      292*T1^5*T2 - 752*T1^6*T2 + 366*T1^7*T2 - 680*T2^2 + 1042*T1*T2^2 + 
      254*T1^2*T2^2 - 900*T1^3*T2^2 + 1500*T1^4*T2^2 - 1530*T1^5*T2^2 + 
      1334*T1^6*T2^2 + 142*T1^7*T2^2 - 410*T1^8*T2^2 + 770*T2^3 - 
      748*T1*T2^3 - 900*T1^2*T2^3 + 663*T1^3*T2^3 - 731*T1^4*T2^3 + 
      244*T1^5*T2^3 - 27*T1^6*T2^3 - 1245*T1^7*T2^3 + 332*T1^8*T2^3 + 
      311*T1^9*T2^3 - 680*T2^4 + 212*T1*T2^4 + 1500*T1^2*T2^4 - 
      731*T1^3*T2^4 + 933*T1^4*T2^4 - 587*T1^5*T2^4 + 713*T1^6*T2^4 + 
      289*T1^7*T2^4 + 800*T1^8*T2^4 - 568*T1^9*T2^4 - 140*T1^10*T2^4 + 
      456*T2^5 + 292*T1*T2^5 - 1530*T1^2*T2^5 + 244*T1^3*T2^5 - 
      587*T1^4*T2^5 + 471*T1^5*T2^5 - 669*T1^6*T2^5 - 212*T1^7*T2^5 - 
      641*T1^8*T2^5 - 45*T1^9*T2^5 + 442*T1^10*T2^5 + 6*T1^11*T2^5 - 
      138*T2^6 - 752*T1*T2^6 + 1334*T1^2*T2^6 - 27*T1^3*T2^6 + 
      713*T1^4*T2^6 - 669*T1^5*T2^6 + 420*T1^6*T2^6 + 441*T1^7*T2^6 + 
      123*T1^8*T2^6 + 555*T1^9*T2^6 - 506*T1^10*T2^6 - 92*T1^11*T2^6 + 
      24*T1^12*T2^6 + 366*T1*T2^7 + 142*T1^2*T2^7 - 1245*T1^3*T2^7 + 
      289*T1^4*T2^7 - 212*T1^5*T2^7 + 441*T1^6*T2^7 - 699*T1^7*T2^7 + 
      163*T1^8*T2^7 - 596*T1^9*T2^7 + 240*T1^10*T2^7 + 292*T1^11*T2^7 - 
      84*T1^12*T2^7 - 410*T1^2*T2^8 + 332*T1^3*T2^8 + 800*T1^4*T2^8 - 
      641*T1^5*T2^8 + 123*T1^6*T2^8 + 163*T1^7*T2^8 - 97*T1^8*T2^8 + 
      379*T1^9*T2^8 + 100*T1^10*T2^8 - 448*T1^11*T2^8 + 130*T1^12*T2^8 + 
      311*T1^3*T2^9 - 568*T1^4*T2^9 - 45*T1^5*T2^9 + 555*T1^6*T2^9 - 
      596*T1^7*T2^9 + 379*T1^8*T2^9 - 135*T1^9*T2^9 - 390*T1^10*T2^9 + 
      512*T1^11*T2^9 - 148*T1^12*T2^9 - 140*T1^4*T2^10 + 442*T1^5*T2^10 - 
      506*T1^6*T2^10 + 240*T1^7*T2^10 + 100*T1^8*T2^10 - 390*T1^9*T2^10 + 
      574*T1^10*T2^10 - 458*T1^11*T2^10 + 130*T1^12*T2^10 + 6*T1^5*T2^11 - 
      92*T1^6*T2^11 + 292*T1^7*T2^11 - 448*T1^8*T2^11 + 512*T1^9*T2^11 - 
      458*T1^10*T2^11 + 298*T1^11*T2^11 - 84*T1^12*T2^11 + 24*T1^6*T2^12 - 
      84*T1^7*T2^12 + 130*T1^8*T2^12 - 148*T1^9*T2^12 + 130*T1^10*T2^12 - 
      84*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 477] -> 
  {(4 - 8*T + 7*T^2 - 5*T^3 + 7*T^4 - 8*T^5 + 4*T^6)/T^3, 
   -((400 - 792*T1 + 684*T1^2 - 480*T1^3 + 684*T1^4 - 792*T1^5 + 400*T1^6 - 
      792*T2 + 908*T1*T2 - 46*T1^2*T2 - 178*T1^3*T2 - 562*T1^4*T2 + 
      434*T1^5*T2 + 524*T1^6*T2 - 664*T1^7*T2 + 684*T2^2 - 46*T1*T2^2 - 
      1000*T1^2*T2^2 + 579*T1^3*T2^2 + 300*T1^4*T2^2 + 411*T1^5*T2^2 - 
      1168*T1^6*T2^2 + 402*T1^7*T2^2 + 460*T1^8*T2^2 - 480*T2^3 - 
      178*T1*T2^3 + 579*T1^2*T2^3 + 128*T1^3*T2^3 - 514*T1^4*T2^3 - 
      286*T1^5*T2^3 + 428*T1^6*T2^3 + 327*T1^7*T2^3 - 434*T1^8*T2^3 - 
      240*T1^9*T2^3 + 684*T2^4 - 562*T1*T2^4 + 300*T1^2*T2^4 - 
      514*T1^3*T2^4 + 719*T1^4*T2^4 - 331*T1^5*T2^4 + 143*T1^6*T2^4 - 
      194*T1^7*T2^4 + 156*T1^8*T2^4 + 14*T1^9*T2^4 + 236*T1^10*T2^4 - 
      792*T2^5 + 434*T1*T2^5 + 411*T1^2*T2^5 - 286*T1^3*T2^5 - 
      331*T1^4*T2^5 + 121*T1^5*T2^5 + 301*T1^6*T2^5 - 198*T1^7*T2^5 - 
      330*T1^8*T2^5 + 327*T1^9*T2^5 - 174*T1^10*T2^5 - 152*T1^11*T2^5 + 
      400*T2^6 + 524*T1*T2^6 - 1168*T1^2*T2^6 + 428*T1^3*T2^6 + 
      143*T1^4*T2^6 + 301*T1^5*T2^6 - 492*T1^6*T2^6 + 7*T1^7*T2^6 + 
      457*T1^8*T2^6 - 100*T1^9*T2^6 - 184*T1^10*T2^6 + 268*T1^11*T2^6 + 
      16*T1^12*T2^6 - 664*T1*T2^7 + 402*T1^2*T2^7 + 327*T1^3*T2^7 - 
      194*T1^4*T2^7 - 198*T1^5*T2^7 + 7*T1^6*T2^7 + 187*T1^7*T2^7 - 
      65*T1^8*T2^7 - 238*T1^9*T2^7 + 243*T1^10*T2^7 - 206*T1^11*T2^7 - 
      24*T1^12*T2^7 + 460*T1^2*T2^8 - 434*T1^3*T2^8 + 156*T1^4*T2^8 - 
      330*T1^5*T2^8 + 457*T1^6*T2^8 - 65*T1^7*T2^8 - 119*T1^8*T2^8 - 
      10*T1^9*T2^8 + 12*T1^10*T2^8 + 142*T1^11*T2^8 + 12*T1^12*T2^8 - 
      240*T1^3*T2^9 + 14*T1^4*T2^9 + 327*T1^5*T2^9 - 100*T1^6*T2^9 - 
      238*T1^7*T2^9 - 10*T1^8*T2^9 + 200*T1^9*T2^9 + 75*T1^10*T2^9 - 
      242*T1^11*T2^9 + 236*T1^4*T2^10 - 174*T1^5*T2^10 - 184*T1^6*T2^10 + 
      243*T1^7*T2^10 + 12*T1^8*T2^10 + 75*T1^9*T2^10 - 352*T1^10*T2^10 + 
      274*T1^11*T2^10 + 12*T1^12*T2^10 - 152*T1^5*T2^11 + 268*T1^6*T2^11 - 
      206*T1^7*T2^11 + 142*T1^8*T2^11 - 242*T1^9*T2^11 + 274*T1^10*T2^11 - 
      116*T1^11*T2^11 - 24*T1^12*T2^11 + 16*T1^6*T2^12 - 24*T1^7*T2^12 + 
      12*T1^8*T2^12 + 12*T1^10*T2^12 - 24*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 478] -> 
  {(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4)/T^2, 
   (-15 + 54*T1 - 85*T1^2 + 54*T1^3 - 15*T1^4 + 54*T2 - 164*T1*T2 + 
     212*T1^2*T2 - 40*T1^3*T2 - 38*T1^4*T2 + 26*T1^5*T2 - 85*T2^2 + 
     212*T1*T2^2 - 210*T1^2*T2^2 - 168*T1^3*T2^2 + 186*T1^4*T2^2 - 
     96*T1^5*T2^2 + 3*T1^6*T2^2 + 54*T2^3 - 40*T1*T2^3 - 168*T1^2*T2^3 + 
     643*T1^3*T2^3 - 365*T1^4*T2^3 + 63*T1^5*T2^3 + 100*T1^6*T2^3 - 
     30*T1^7*T2^3 - 15*T2^4 - 38*T1*T2^4 + 186*T1^2*T2^4 - 365*T1^3*T2^4 - 
     132*T1^4*T2^4 + 405*T1^5*T2^4 - 324*T1^6*T2^4 + 46*T1^7*T2^4 + 
     17*T1^8*T2^4 + 26*T1*T2^5 - 96*T1^2*T2^5 + 63*T1^3*T2^5 + 
     405*T1^4*T2^5 - 603*T1^5*T2^5 + 294*T1^6*T2^5 + 44*T1^7*T2^5 - 
     58*T1^8*T2^5 + 3*T1^2*T2^6 + 100*T1^3*T2^6 - 324*T1^4*T2^6 + 
     294*T1^5*T2^6 + 72*T1^6*T2^6 - 208*T1^7*T2^6 + 91*T1^8*T2^6 - 
     30*T1^3*T2^7 + 46*T1^4*T2^7 + 44*T1^5*T2^7 - 208*T1^6*T2^7 + 
     172*T1^7*T2^7 - 58*T1^8*T2^7 + 17*T1^4*T2^8 - 58*T1^5*T2^8 + 
     91*T1^6*T2^8 - 58*T1^7*T2^8 + 17*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 479] -> 
  {-((6 - 21*T + 29*T^2 - 21*T^3 + 6*T^4)/T^2), 
   -((-699 + 2418*T1 - 3317*T1^2 + 2418*T1^3 - 699*T1^4 + 2418*T2 - 
      6704*T1*T2 + 5756*T1^2*T2 - 544*T1^3*T2 - 3302*T1^4*T2 + 1662*T1^5*T2 - 
      3317*T2^2 + 5756*T1*T2^2 + 2784*T1^2*T2^2 - 11428*T1^3*T2^2 + 
      10788*T1^4*T2^2 - 1552*T1^5*T2^2 - 1229*T1^6*T2^2 + 2418*T2^3 - 
      544*T1*T2^3 - 11428*T1^2*T2^3 + 14649*T1^3*T2^3 - 5595*T1^4*T2^3 - 
      5947*T1^5*T2^3 + 3740*T1^6*T2^3 + 150*T1^7*T2^3 - 699*T2^4 - 
      3302*T1*T2^4 + 10788*T1^2*T2^4 - 5595*T1^3*T2^4 - 6240*T1^4*T2^4 + 
      11667*T1^5*T2^4 - 3558*T1^6*T2^4 - 1034*T1^7*T2^4 + 165*T1^8*T2^4 + 
      1662*T1*T2^5 - 1552*T1^2*T2^5 - 5947*T1^3*T2^5 + 11667*T1^4*T2^5 - 
      8577*T1^5*T2^5 - 466*T1^6*T2^5 + 2732*T1^7*T2^5 - 606*T1^8*T2^5 - 
      1229*T1^2*T2^6 + 3740*T1^3*T2^6 - 3558*T1^4*T2^6 - 466*T1^5*T2^6 + 
      4446*T1^6*T2^6 - 3568*T1^7*T2^6 + 859*T1^8*T2^6 + 150*T1^3*T2^7 - 
      1034*T1^4*T2^7 + 2732*T1^5*T2^7 - 3568*T1^6*T2^7 + 2368*T1^7*T2^7 - 
      606*T1^8*T2^7 + 165*T1^4*T2^8 - 606*T1^5*T2^8 + 859*T1^6*T2^8 - 
      606*T1^7*T2^8 + 165*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 480] -> 
  {-((1 - 6*T + 19*T^2 - 29*T^3 + 19*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 57*T1^2 + 87*T1^3 - 57*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 274*T1^2*T2 - 299*T1^3*T2 - 11*T1^4*T2 + 124*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 57*T2^2 + 274*T1*T2^2 - 726*T1^2*T2^2 + 
      500*T1^3*T2^2 + 570*T1^4*T2^2 - 374*T1^5*T2^2 - 42*T1^6*T2^2 + 
      46*T1^7*T2^2 - 19*T1^8*T2^2 + 87*T2^3 - 299*T1*T2^3 + 500*T1^2*T2^3 + 
      1053*T1^3*T2^3 - 2874*T1^4*T2^3 + 423*T1^5*T2^3 + 813*T1^6*T2^3 - 
      355*T1^7*T2^3 + 109*T1^8*T2^3 - 57*T2^4 - 11*T1*T2^4 + 570*T1^2*T2^4 - 
      2874*T1^3*T2^4 + 2243*T1^4*T2^4 + 4563*T1^5*T2^4 - 4393*T1^6*T2^4 + 
      1186*T1^7*T2^4 - 74*T1^8*T2^4 - 119*T1^9*T2^4 + 19*T1^10*T2^4 + 
      18*T2^5 + 124*T1*T2^5 - 374*T1^2*T2^5 + 423*T1^3*T2^5 + 
      4563*T1^4*T2^5 - 11851*T1^5*T2^5 + 6257*T1^6*T2^5 + 478*T1^7*T2^5 - 
      1348*T1^8*T2^5 + 557*T1^9*T2^5 - 38*T1^10*T2^5 - 12*T1^11*T2^5 - 
      3*T2^6 - 54*T1*T2^6 - 42*T1^2*T2^6 + 813*T1^3*T2^6 - 4393*T1^4*T2^6 + 
      6257*T1^5*T2^6 + 2280*T1^6*T2^6 - 7793*T1^7*T2^6 + 4541*T1^8*T2^6 - 
      957*T1^9*T2^6 - 70*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 
      12*T1*T2^7 + 46*T1^2*T2^7 - 355*T1^3*T2^7 + 1186*T1^4*T2^7 + 
      478*T1^5*T2^7 - 7793*T1^6*T2^7 + 10315*T1^7*T2^7 - 3607*T1^8*T2^7 - 
      585*T1^9*T2^7 + 576*T1^10*T2^7 - 116*T1^11*T2^7 - 18*T1^12*T2^7 - 
      19*T1^2*T2^8 + 109*T1^3*T2^8 - 74*T1^4*T2^8 - 1348*T1^5*T2^8 + 
      4541*T1^6*T2^8 - 3607*T1^7*T2^8 - 2095*T1^8*T2^8 + 2712*T1^9*T2^8 - 
      718*T1^10*T2^8 + T1^11*T2^8 + 57*T1^12*T2^8 - 119*T1^4*T2^9 + 
      557*T1^5*T2^9 - 957*T1^6*T2^9 - 585*T1^7*T2^9 + 2712*T1^8*T2^9 - 
      1197*T1^9*T2^9 - 298*T1^10*T2^9 + 289*T1^11*T2^9 - 87*T1^12*T2^9 + 
      19*T1^4*T2^10 - 38*T1^5*T2^10 - 70*T1^6*T2^10 + 576*T1^7*T2^10 - 
      718*T1^8*T2^10 - 298*T1^9*T2^10 + 614*T1^10*T2^10 - 266*T1^11*T2^10 + 
      57*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 116*T1^7*T2^11 + 
      T1^8*T2^11 + 289*T1^9*T2^11 - 266*T1^10*T2^11 + 96*T1^11*T2^11 - 
      18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 57*T1^8*T2^12 - 
      87*T1^9*T2^12 + 57*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 481] -> 
  {-((1 - 5*T + 15*T^2 - 23*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3), 
   -((-3 + 15*T1 - 45*T1^2 + 69*T1^3 - 45*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 178*T1^2*T2 - 199*T1^3*T2 - 9*T1^4*T2 + 78*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 45*T2^2 + 178*T1*T2^2 - 477*T1^2*T2^2 + 
      425*T1^3*T2^2 + 207*T1^4*T2^2 - 115*T1^5*T2^2 - 57*T1^6*T2^2 + 
      28*T1^7*T2^2 - 15*T1^8*T2^2 + 69*T2^3 - 199*T1*T2^3 + 425*T1^2*T2^3 + 
      238*T1^3*T2^3 - 1340*T1^4*T2^3 + 130*T1^5*T2^3 + 394*T1^6*T2^3 - 
      160*T1^7*T2^3 + 71*T1^8*T2^3 - 45*T2^4 - 9*T1*T2^4 + 207*T1^2*T2^4 - 
      1340*T1^3*T2^4 + 1342*T1^4*T2^4 + 2084*T1^5*T2^4 - 1958*T1^6*T2^4 + 
      500*T1^7*T2^4 - 43*T1^8*T2^4 - 79*T1^9*T2^4 + 15*T1^10*T2^4 + 15*T2^5 + 
      78*T1*T2^5 - 115*T1^2*T2^5 + 130*T1^3*T2^5 + 2084*T1^4*T2^5 - 
      5777*T1^5*T2^5 + 2983*T1^6*T2^5 + 209*T1^7*T2^5 - 600*T1^8*T2^5 + 
      290*T1^9*T2^5 - 22*T1^10*T2^5 - 10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 - 
      57*T1^2*T2^6 + 394*T1^3*T2^6 - 1958*T1^4*T2^6 + 2983*T1^5*T2^6 + 
      1128*T1^6*T2^6 - 3747*T1^7*T2^6 + 2132*T1^8*T2^6 - 494*T1^9*T2^6 - 
      17*T1^10*T2^6 + 35*T1^11*T2^6 + 3*T1^12*T2^6 + 10*T1*T2^7 + 
      28*T1^2*T2^7 - 160*T1^3*T2^7 + 500*T1^4*T2^7 + 209*T1^5*T2^7 - 
      3747*T1^6*T2^7 + 5013*T1^7*T2^7 - 1666*T1^8*T2^7 - 230*T1^9*T2^7 + 
      245*T1^10*T2^7 - 72*T1^11*T2^7 - 15*T1^12*T2^7 - 15*T1^2*T2^8 + 
      71*T1^3*T2^8 - 43*T1^4*T2^8 - 600*T1^5*T2^8 + 2132*T1^6*T2^8 - 
      1666*T1^7*T2^8 - 1168*T1^8*T2^8 + 1240*T1^9*T2^8 - 293*T1^10*T2^8 + 
      T1^11*T2^8 + 45*T1^12*T2^8 - 79*T1^4*T2^9 + 290*T1^5*T2^9 - 
      494*T1^6*T2^9 - 230*T1^7*T2^9 + 1240*T1^8*T2^9 - 338*T1^9*T2^9 - 
      295*T1^10*T2^9 + 191*T1^11*T2^9 - 69*T1^12*T2^9 + 15*T1^4*T2^10 - 
      22*T1^5*T2^10 - 17*T1^6*T2^10 + 245*T1^7*T2^10 - 293*T1^8*T2^10 - 
      295*T1^9*T2^10 + 403*T1^10*T2^10 - 172*T1^11*T2^10 + 45*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 72*T1^7*T2^11 + T1^8*T2^11 + 
      191*T1^9*T2^11 - 172*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 45*T1^8*T2^12 - 69*T1^9*T2^12 + 
      45*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 482] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 45*T1^2 + 63*T1^3 - 45*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 198*T1^2*T2 - 199*T1^3*T2 + 17*T1^4*T2 + 72*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 45*T2^2 + 198*T1*T2^2 - 256*T1^2*T2^2 - 
      45*T1^3*T2^2 + 628*T1^4*T2^2 - 495*T1^5*T2^2 + 164*T1^6*T2^2 + 
      18*T1^7*T2^2 - 15*T1^8*T2^2 + 63*T2^3 - 199*T1*T2^3 - 45*T1^2*T2^3 + 
      821*T1^3*T2^3 - 1513*T1^4*T2^3 + 404*T1^5*T2^3 + 317*T1^6*T2^3 - 
      360*T1^7*T2^3 + 89*T1^8*T2^3 - 45*T2^4 + 17*T1*T2^4 + 628*T1^2*T2^4 - 
      1513*T1^3*T2^4 + 1427*T1^4*T2^4 + 1053*T1^5*T2^4 - 1513*T1^6*T2^4 + 
      755*T1^7*T2^4 + 16*T1^8*T2^4 - 91*T1^9*T2^4 + 15*T1^10*T2^4 + 18*T2^5 + 
      72*T1*T2^5 - 495*T1^2*T2^5 + 404*T1^3*T2^5 + 1053*T1^4*T2^5 - 
      3609*T1^5*T2^5 + 2271*T1^6*T2^5 - 72*T1^7*T2^5 - 811*T1^8*T2^5 + 
      360*T1^9*T2^5 - 18*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      164*T1^2*T2^6 + 317*T1^3*T2^6 - 1513*T1^4*T2^6 + 2271*T1^5*T2^6 + 
      432*T1^6*T2^6 - 2499*T1^7*T2^6 + 1853*T1^8*T2^6 - 349*T1^9*T2^6 - 
      160*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      18*T1^2*T2^7 - 360*T1^3*T2^7 + 755*T1^4*T2^7 - 72*T1^5*T2^7 - 
      2499*T1^6*T2^7 + 3381*T1^7*T2^7 - 1197*T1^8*T2^7 - 460*T1^9*T2^7 + 
      495*T1^10*T2^7 - 72*T1^11*T2^7 - 18*T1^12*T2^7 - 15*T1^2*T2^8 + 
      89*T1^3*T2^8 + 16*T1^4*T2^8 - 811*T1^5*T2^8 + 1853*T1^6*T2^8 - 
      1197*T1^7*T2^8 - 1087*T1^8*T2^8 + 1457*T1^9*T2^8 - 596*T1^10*T2^8 - 
      19*T1^11*T2^8 + 45*T1^12*T2^8 - 91*T1^4*T2^9 + 360*T1^5*T2^9 - 
      349*T1^6*T2^9 - 460*T1^7*T2^9 + 1457*T1^8*T2^9 - 853*T1^9*T2^9 + 
      45*T1^10*T2^9 + 197*T1^11*T2^9 - 63*T1^12*T2^9 + 15*T1^4*T2^10 - 
      18*T1^5*T2^10 - 160*T1^6*T2^10 + 495*T1^7*T2^10 - 596*T1^8*T2^10 + 
      45*T1^9*T2^10 + 260*T1^10*T2^10 - 198*T1^11*T2^10 + 45*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 72*T1^7*T2^11 - 19*T1^8*T2^11 + 
      197*T1^9*T2^11 - 198*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 45*T1^8*T2^12 - 63*T1^9*T2^12 + 
      45*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 483] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2))/T^2), 
   -((-3 + 12*T1 - 17*T1^2 + 12*T1^3 - 3*T1^4 + 12*T2 - 38*T1*T2 + 
      33*T1^2*T2 - 3*T1^3*T2 - 18*T1^4*T2 + 8*T1^5*T2 - 17*T2^2 + 
      33*T1*T2^2 + 13*T1^2*T2^2 - 63*T1^3*T2^2 + 53*T1^4*T2^2 - 7*T1^5*T2^2 - 
      7*T1^6*T2^2 + 12*T2^3 - 3*T1*T2^3 - 63*T1^2*T2^3 + 96*T1^3*T2^3 - 
      24*T1^4*T2^3 - 23*T1^5*T2^3 + 25*T1^6*T2^3 - 3*T2^4 - 18*T1*T2^4 + 
      53*T1^2*T2^4 - 24*T1^3*T2^4 - 96*T1^4*T2^4 + 88*T1^5*T2^4 - 
      55*T1^6*T2^4 - 2*T1^7*T2^4 + T1^8*T2^4 + 8*T1*T2^5 - 7*T1^2*T2^5 - 
      23*T1^3*T2^5 + 88*T1^4*T2^5 - 32*T1^5*T2^5 + 17*T1^6*T2^5 + 
      21*T1^7*T2^5 - 4*T1^8*T2^5 - 7*T1^2*T2^6 + 25*T1^3*T2^6 - 
      55*T1^4*T2^6 + 17*T1^5*T2^6 - 15*T1^6*T2^6 - 15*T1^7*T2^6 + 
      3*T1^8*T2^6 - 2*T1^4*T2^7 + 21*T1^5*T2^7 - 15*T1^6*T2^7 + 
      18*T1^7*T2^7 - 4*T1^8*T2^7 + T1^4*T2^8 - 4*T1^5*T2^8 + 3*T1^6*T2^8 - 
      4*T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 484] -> 
  {((1 - T + T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-4 + 20*T1 - 48*T1^2 + 60*T1^3 - 48*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 164*T1^2*T2 - 120*T1^3*T2 + 15*T1^4*T2 + 79*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 48*T2^2 + 164*T1*T2^2 - 211*T1^2*T2^2 - 
     82*T1^3*T2^2 + 299*T1^4*T2^2 - 322*T1^5*T2^2 + 53*T1^6*T2^2 + 
     44*T1^7*T2^2 - 24*T1^8*T2^2 + 60*T2^3 - 120*T1*T2^3 - 82*T1^2*T2^3 + 
     681*T1^3*T2^3 - 644*T1^4*T2^3 + 211*T1^5*T2^3 + 381*T1^6*T2^3 - 
     262*T1^7*T2^3 + 45*T1^8*T2^3 + 15*T1^9*T2^3 - 48*T2^4 + 15*T1*T2^4 + 
     299*T1^2*T2^4 - 644*T1^3*T2^4 - 129*T1^4*T2^4 + 877*T1^5*T2^4 - 
     1101*T1^6*T2^4 + 286*T1^7*T2^4 + 125*T1^8*T2^4 - 75*T1^9*T2^4 + 
     20*T2^5 + 79*T1*T2^5 - 322*T1^2*T2^5 + 211*T1^3*T2^5 + 877*T1^4*T2^5 - 
     1261*T1^5*T2^5 + 689*T1^6*T2^5 + 397*T1^7*T2^5 - 494*T1^8*T2^5 + 
     98*T1^9*T2^5 + 24*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     53*T1^2*T2^6 + 381*T1^3*T2^6 - 1101*T1^4*T2^6 + 689*T1^5*T2^6 + 
     480*T1^6*T2^6 - 1121*T1^7*T2^6 + 639*T1^8*T2^6 + 51*T1^9*T2^6 - 
     87*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     44*T1^2*T2^7 - 262*T1^3*T2^7 + 286*T1^4*T2^7 + 397*T1^5*T2^7 - 
     1121*T1^6*T2^7 + 829*T1^7*T2^7 - 83*T1^8*T2^7 - 419*T1^9*T2^7 + 
     158*T1^10*T2^7 - 11*T1^11*T2^7 - 10*T1^12*T2^7 - 24*T1^2*T2^8 + 
     45*T1^3*T2^8 + 125*T1^4*T2^8 - 494*T1^5*T2^8 + 639*T1^6*T2^8 - 
     83*T1^7*T2^8 - 333*T1^8*T2^8 + 436*T1^9*T2^8 - 49*T1^10*T2^8 - 
     45*T1^11*T2^8 + 24*T1^12*T2^8 + 15*T1^3*T2^9 - 75*T1^4*T2^9 + 
     98*T1^5*T2^9 + 51*T1^6*T2^9 - 419*T1^7*T2^9 + 436*T1^8*T2^9 - 
     249*T1^9*T2^9 - 82*T1^10*T2^9 + 90*T1^11*T2^9 - 30*T1^12*T2^9 + 
     24*T1^5*T2^10 - 87*T1^6*T2^10 + 158*T1^7*T2^10 - 49*T1^8*T2^10 - 
     82*T1^9*T2^10 + 177*T1^10*T2^10 - 96*T1^11*T2^10 + 24*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 11*T1^7*T2^11 - 45*T1^8*T2^11 + 
     90*T1^9*T2^11 - 96*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 24*T1^8*T2^12 - 30*T1^9*T2^12 + 
     24*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 485] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 124*T1 - 246*T1^2 + 291*T1^3 - 246*T1^4 + 124*T1^5 - 31*T1^6 + 
     124*T2 - 404*T1*T2 + 616*T1^2*T2 - 436*T1^3*T2 + 124*T1^4*T2 + 
     232*T1^5*T2 - 244*T1^6*T2 + 92*T1^7*T2 - 246*T2^2 + 616*T1*T2^2 - 
     576*T1^2*T2^2 - 200*T1^3*T2^2 + 664*T1^4*T2^2 - 904*T1^5*T2^2 + 
     320*T1^6*T2^2 + 104*T1^7*T2^2 - 118*T1^8*T2^2 + 291*T2^3 - 436*T1*T2^3 - 
     200*T1^2*T2^3 + 1346*T1^3*T2^3 - 1142*T1^4*T2^3 + 602*T1^5*T2^3 + 
     668*T1^6*T2^3 - 744*T1^7*T2^3 + 220*T1^8*T2^3 + 63*T1^9*T2^3 - 
     246*T2^4 + 124*T1*T2^4 + 664*T1^2*T2^4 - 1142*T1^3*T2^4 - 
     260*T1^4*T2^4 + 1140*T1^5*T2^4 - 1812*T1^6*T2^4 + 682*T1^7*T2^4 + 
     280*T1^8*T2^4 - 292*T1^9*T2^4 + 10*T1^10*T2^4 + 124*T2^5 + 232*T1*T2^5 - 
     904*T1^2*T2^5 + 602*T1^3*T2^5 + 1140*T1^4*T2^5 - 1366*T1^5*T2^5 + 
     858*T1^6*T2^5 + 628*T1^7*T2^5 - 982*T1^8*T2^5 + 280*T1^9*T2^5 + 
     104*T1^10*T2^5 - 36*T1^11*T2^5 - 31*T2^6 - 244*T1*T2^6 + 320*T1^2*T2^6 + 
     668*T1^3*T2^6 - 1812*T1^4*T2^6 + 858*T1^5*T2^6 + 540*T1^6*T2^6 - 
     1382*T1^7*T2^6 + 876*T1^8*T2^6 + 212*T1^9*T2^6 - 320*T1^10*T2^6 + 
     76*T1^11*T2^6 + 17*T1^12*T2^6 + 92*T1*T2^7 + 104*T1^2*T2^7 - 
     744*T1^3*T2^7 + 682*T1^4*T2^7 + 628*T1^5*T2^7 - 1382*T1^6*T2^7 + 
     842*T1^7*T2^7 + 116*T1^8*T2^7 - 902*T1^9*T2^7 + 440*T1^10*T2^7 - 
     24*T1^11*T2^7 - 68*T1^12*T2^7 - 118*T1^2*T2^8 + 220*T1^3*T2^8 + 
     280*T1^4*T2^8 - 982*T1^5*T2^8 + 876*T1^6*T2^8 + 116*T1^7*T2^8 - 
     676*T1^8*T2^8 + 842*T1^9*T2^8 - 104*T1^10*T2^8 - 196*T1^11*T2^8 + 
     138*T1^12*T2^8 + 63*T1^3*T2^9 - 292*T1^4*T2^9 + 280*T1^5*T2^9 + 
     212*T1^6*T2^9 - 902*T1^7*T2^9 + 842*T1^8*T2^9 - 466*T1^9*T2^9 - 
     264*T1^10*T2^9 + 364*T1^11*T2^9 - 165*T1^12*T2^9 + 10*T1^4*T2^10 + 
     104*T1^5*T2^10 - 320*T1^6*T2^10 + 440*T1^7*T2^10 - 104*T1^8*T2^10 - 
     264*T1^9*T2^10 + 576*T1^10*T2^10 - 408*T1^11*T2^10 + 138*T1^12*T2^10 - 
     36*T1^5*T2^11 + 76*T1^6*T2^11 - 24*T1^7*T2^11 - 196*T1^8*T2^11 + 
     364*T1^9*T2^11 - 408*T1^10*T2^11 + 236*T1^11*T2^11 - 68*T1^12*T2^11 + 
     17*T1^6*T2^12 - 68*T1^7*T2^12 + 138*T1^8*T2^12 - 165*T1^9*T2^12 + 
     138*T1^10*T2^12 - 68*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 486] -> 
  {(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-17 + 60*T1 - 104*T1^2 + 113*T1^3 - 104*T1^4 + 60*T1^5 - 17*T1^6 + 
     60*T2 - 180*T1*T2 + 255*T1^2*T2 - 201*T1^3*T2 + 149*T1^4*T2 - 
     11*T1^5*T2 - 54*T1^6*T2 + 32*T1^7*T2 - 104*T2^2 + 255*T1*T2^2 - 
     254*T1^2*T2^2 + 50*T1^3*T2^2 + 24*T1^4*T2^2 - 238*T1^5*T2^2 + 
     226*T1^6*T2^2 - 81*T1^7*T2^2 - 8*T1^8*T2^2 + 113*T2^3 - 201*T1*T2^3 + 
     50*T1^2*T2^3 + 242*T1^3*T2^3 - 214*T1^4*T2^3 + 404*T1^5*T2^3 - 
     184*T1^6*T2^3 - 130*T1^7*T2^3 + 177*T1^8*T2^3 - 43*T1^9*T2^3 - 
     104*T2^4 + 149*T1*T2^4 + 24*T1^2*T2^4 - 214*T1^3*T2^4 + 55*T1^4*T2^4 - 
     271*T1^5*T2^4 - 77*T1^6*T2^4 + 358*T1^7*T2^4 - 98*T1^8*T2^4 - 
     159*T1^9*T2^4 + 88*T1^10*T2^4 + 60*T2^5 - 11*T1*T2^5 - 238*T1^2*T2^5 + 
     404*T1^3*T2^5 - 271*T1^4*T2^5 + 408*T1^5*T2^5 + 150*T1^6*T2^5 - 
     295*T1^7*T2^5 - 306*T1^8*T2^5 + 374*T1^9*T2^5 - 25*T1^10*T2^5 - 
     80*T1^11*T2^5 - 17*T2^6 - 54*T1*T2^6 + 226*T1^2*T2^6 - 184*T1^3*T2^6 - 
     77*T1^4*T2^6 + 150*T1^5*T2^6 - 504*T1^6*T2^6 + 214*T1^7*T2^6 + 
     543*T1^8*T2^6 - 160*T1^9*T2^6 - 282*T1^10*T2^6 + 170*T1^11*T2^6 + 
     31*T1^12*T2^6 + 32*T1*T2^7 - 81*T1^2*T2^7 - 130*T1^3*T2^7 + 
     358*T1^4*T2^7 - 295*T1^5*T2^7 + 214*T1^6*T2^7 - 44*T1^7*T2^7 - 
     319*T1^8*T2^7 - 352*T1^9*T2^7 + 482*T1^10*T2^7 - 95*T1^11*T2^7 - 
     108*T1^12*T2^7 - 8*T1^2*T2^8 + 177*T1^3*T2^8 - 98*T1^4*T2^8 - 
     306*T1^5*T2^8 + 543*T1^6*T2^8 - 319*T1^7*T2^8 + 411*T1^8*T2^8 + 
     266*T1^9*T2^8 - 220*T1^10*T2^8 - 131*T1^11*T2^8 + 184*T1^12*T2^8 - 
     43*T1^3*T2^9 - 159*T1^4*T2^9 + 374*T1^5*T2^9 - 160*T1^6*T2^9 - 
     352*T1^7*T2^9 + 266*T1^8*T2^9 - 586*T1^9*T2^9 + 194*T1^10*T2^9 + 
     219*T1^11*T2^9 - 199*T1^12*T2^9 + 88*T1^4*T2^10 - 25*T1^5*T2^10 - 
     282*T1^6*T2^10 + 482*T1^7*T2^10 - 220*T1^8*T2^10 + 194*T1^9*T2^10 + 
     198*T1^10*T2^10 - 361*T1^11*T2^10 + 184*T1^12*T2^10 - 80*T1^5*T2^11 + 
     170*T1^6*T2^11 - 95*T1^7*T2^11 - 131*T1^8*T2^11 + 219*T1^9*T2^11 - 
     361*T1^10*T2^11 + 296*T1^11*T2^11 - 108*T1^12*T2^11 + 31*T1^6*T2^12 - 
     108*T1^7*T2^12 + 184*T1^8*T2^12 - 199*T1^9*T2^12 + 184*T1^10*T2^12 - 
     108*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 487] -> 
  {-((1 - T - 4*T^2 + 7*T^3 - 4*T^4 - T^5 + T^6)/T^3), 
   -((-5 + 5*T1 + 20*T1^2 - 35*T1^3 + 20*T1^4 + 5*T1^5 - 5*T1^6 + 5*T2 + 
      T1*T2 - 30*T1^2*T2 + 22*T1^3*T2 + 11*T1^4*T2 - 27*T1^5*T2 + 3*T1^6*T2 + 
      4*T1^7*T2 + 20*T2^2 - 30*T1*T2^2 - 50*T1^2*T2^2 + 144*T1^3*T2^2 - 
      162*T1^4*T2^2 + 80*T1^5*T2^2 - 10*T1^6*T2^2 - 22*T1^7*T2^2 + 
      12*T1^8*T2^2 - 35*T2^3 + 22*T1*T2^3 + 144*T1^2*T2^3 - 201*T1^3*T2^3 + 
      94*T1^4*T2^3 + 75*T1^5*T2^3 - 87*T1^6*T2^3 + 52*T1^7*T2^3 + 
      5*T1^8*T2^3 - 14*T1^9*T2^3 + 20*T2^4 + 11*T1*T2^4 - 162*T1^2*T2^4 + 
      94*T1^3*T2^4 + 275*T1^4*T2^4 - 467*T1^5*T2^4 + 243*T1^6*T2^4 + 
      52*T1^7*T2^4 - 84*T1^8*T2^4 + 13*T1^9*T2^4 + 4*T1^10*T2^4 + 5*T2^5 - 
      27*T1*T2^5 + 80*T1^2*T2^5 + 75*T1^3*T2^5 - 467*T1^4*T2^5 + 
      377*T1^5*T2^5 + 43*T1^6*T2^5 - 291*T1^7*T2^5 + 48*T1^8*T2^5 + 
      60*T1^9*T2^5 - 10*T1^10*T2^5 - 5*T2^6 + 3*T1*T2^6 - 10*T1^2*T2^6 - 
      87*T1^3*T2^6 + 243*T1^4*T2^6 + 43*T1^5*T2^6 - 324*T1^6*T2^6 + 
      273*T1^7*T2^6 + 87*T1^8*T2^6 - 93*T1^9*T2^6 - 6*T1^10*T2^6 + 
      T1^11*T2^6 + T1^12*T2^6 + 4*T1*T2^7 - 22*T1^2*T2^7 + 52*T1^3*T2^7 + 
      52*T1^4*T2^7 - 291*T1^5*T2^7 + 273*T1^6*T2^7 - 61*T1^7*T2^7 - 
      115*T1^8*T2^7 + 25*T1^9*T2^7 + 32*T1^10*T2^7 - 5*T1^11*T2^7 - 
      T1^12*T2^7 + 12*T1^2*T2^8 + 5*T1^3*T2^8 - 84*T1^4*T2^8 + 48*T1^5*T2^8 + 
      87*T1^6*T2^8 - 115*T1^7*T2^8 + 55*T1^8*T2^8 + 6*T1^9*T2^8 - 
      6*T1^10*T2^8 + 7*T1^11*T2^8 - 4*T1^12*T2^8 - 14*T1^3*T2^9 + 
      13*T1^4*T2^9 + 60*T1^5*T2^9 - 93*T1^6*T2^9 + 25*T1^7*T2^9 + 
      6*T1^8*T2^9 + 21*T1^9*T2^9 - 32*T1^10*T2^9 - 4*T1^11*T2^9 + 
      7*T1^12*T2^9 + 4*T1^4*T2^10 - 10*T1^5*T2^10 - 6*T1^6*T2^10 + 
      32*T1^7*T2^10 - 6*T1^8*T2^10 - 32*T1^9*T2^10 + 34*T1^10*T2^10 - 
      2*T1^11*T2^10 - 4*T1^12*T2^10 + T1^6*T2^11 - 5*T1^7*T2^11 + 
      7*T1^8*T2^11 - 4*T1^9*T2^11 - 2*T1^10*T2^11 + 3*T1^11*T2^11 - 
      T1^12*T2^11 + T1^6*T2^12 - T1^7*T2^12 - 4*T1^8*T2^12 + 7*T1^9*T2^12 - 
      4*T1^10*T2^12 - T1^11*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 488] -> 
  {(1 - T - 2*T^2 + 5*T^3 - 2*T^4 - T^5 + T^6)/T^3, 
   (-2 + 2*T1 + 4*T1^2 - 10*T1^3 + 4*T1^4 + 2*T1^5 - 2*T1^6 + 2*T2 - 
     3*T1*T2 - T1^2*T2 + 5*T1^3*T2 - 2*T1^4*T2 - T1^6*T2 + T1^7*T2 + 4*T2^2 - 
     T1*T2^2 - 11*T1^2*T2^2 + 24*T1^3*T2^2 - 7*T1^4*T2^2 + T1^6*T2^2 + 
     3*T1^7*T2^2 - 10*T2^3 + 5*T1*T2^3 + 24*T1^2*T2^3 - 55*T1^3*T2^3 + 
     8*T1^4*T2^3 + 7*T1^5*T2^3 + 3*T1^6*T2^3 - 10*T1^7*T2^3 - 8*T1^8*T2^3 + 
     5*T1^9*T2^3 + 4*T2^4 - 2*T1*T2^4 - 7*T1^2*T2^4 + 8*T1^3*T2^4 + 
     32*T1^4*T2^4 - 22*T1^5*T2^4 - 4*T1^6*T2^4 - 2*T1^7*T2^4 + 19*T1^8*T2^4 - 
     4*T1^9*T2^4 - 4*T1^10*T2^4 + 2*T2^5 + 7*T1^3*T2^5 - 22*T1^4*T2^5 + 
     39*T1^5*T2^5 - 27*T1^6*T2^5 + 22*T1^7*T2^5 - 10*T1^8*T2^5 - 
     6*T1^9*T2^5 + 11*T1^10*T2^5 - 3*T1^11*T2^5 - 2*T2^6 - T1*T2^6 + 
     T1^2*T2^6 + 3*T1^3*T2^6 - 4*T1^4*T2^6 - 27*T1^5*T2^6 + 24*T1^6*T2^6 + 
     3*T1^7*T2^6 - 20*T1^8*T2^6 + 17*T1^9*T2^6 - 7*T1^10*T2^6 - 
     3*T1^11*T2^6 + 4*T1^12*T2^6 + T1*T2^7 + 3*T1^2*T2^7 - 10*T1^3*T2^7 - 
     2*T1^4*T2^7 + 22*T1^5*T2^7 + 3*T1^6*T2^7 - 63*T1^7*T2^7 + 66*T1^8*T2^7 - 
     19*T1^9*T2^7 - 16*T1^10*T2^7 + 14*T1^11*T2^7 - 4*T1^12*T2^7 - 
     8*T1^3*T2^8 + 19*T1^4*T2^8 - 10*T1^5*T2^8 - 20*T1^6*T2^8 + 
     66*T1^7*T2^8 - 56*T1^8*T2^8 - 20*T1^9*T2^8 + 45*T1^10*T2^8 - 
     10*T1^11*T2^8 - 8*T1^12*T2^8 + 5*T1^3*T2^9 - 4*T1^4*T2^9 - 6*T1^5*T2^9 + 
     17*T1^6*T2^9 - 19*T1^7*T2^9 - 20*T1^8*T2^9 + 75*T1^9*T2^9 - 
     40*T1^10*T2^9 - 17*T1^11*T2^9 + 20*T1^12*T2^9 - 4*T1^4*T2^10 + 
     11*T1^5*T2^10 - 7*T1^6*T2^10 - 16*T1^7*T2^10 + 45*T1^8*T2^10 - 
     40*T1^9*T2^10 + 5*T1^10*T2^10 + 15*T1^11*T2^10 - 8*T1^12*T2^10 - 
     3*T1^5*T2^11 - 3*T1^6*T2^11 + 14*T1^7*T2^11 - 10*T1^8*T2^11 - 
     17*T1^9*T2^11 + 15*T1^10*T2^11 - T1^11*T2^11 - 4*T1^12*T2^11 + 
     4*T1^6*T2^12 - 4*T1^7*T2^12 - 8*T1^8*T2^12 + 20*T1^9*T2^12 - 
     8*T1^10*T2^12 - 4*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 489] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-33 + 180*T1 - 456*T1^2 + 601*T1^3 - 456*T1^4 + 180*T1^5 - 33*T1^6 + 
     180*T2 - 848*T1*T2 + 1753*T1^2*T2 - 1411*T1^3*T2 + 19*T1^4*T2 + 
     895*T1^5*T2 - 562*T1^6*T2 + 136*T1^7*T2 - 456*T2^2 + 1753*T1*T2^2 - 
     2506*T1^2*T2^2 - 683*T1^3*T2^2 + 4058*T1^4*T2^2 - 3595*T1^5*T2^2 + 
     406*T1^6*T2^2 + 521*T1^7*T2^2 - 232*T1^8*T2^2 + 601*T2^3 - 
     1411*T1*T2^3 - 683*T1^2*T2^3 + 8402*T1^3*T2^3 - 9497*T1^4*T2^3 + 
     1865*T1^5*T2^3 + 5048*T1^6*T2^3 - 2895*T1^7*T2^3 + 415*T1^8*T2^3 + 
     157*T1^9*T2^3 - 456*T2^4 + 19*T1*T2^4 + 4058*T1^2*T2^4 - 
     9497*T1^3*T2^4 - 735*T1^4*T2^4 + 15185*T1^5*T2^4 - 16075*T1^6*T2^4 + 
     3379*T1^7*T2^4 + 1376*T1^8*T2^4 - 817*T1^9*T2^4 - 8*T1^10*T2^4 + 
     180*T2^5 + 895*T1*T2^5 - 3595*T1^2*T2^5 + 1865*T1^3*T2^5 + 
     15185*T1^4*T2^5 - 22950*T1^5*T2^5 + 9784*T1^6*T2^5 + 7737*T1^7*T2^5 - 
     6469*T1^8*T2^5 + 1417*T1^9*T2^5 + 257*T1^10*T2^5 - 40*T1^11*T2^5 - 
     33*T2^6 - 562*T1*T2^6 + 406*T1^2*T2^6 + 5048*T1^3*T2^6 - 
     16075*T1^4*T2^6 + 9784*T1^5*T2^6 + 9780*T1^6*T2^6 - 18664*T1^7*T2^6 + 
     7457*T1^8*T2^6 + 464*T1^9*T2^6 - 1110*T1^10*T2^6 + 142*T1^11*T2^6 + 
     15*T1^12*T2^6 + 136*T1*T2^7 + 521*T1^2*T2^7 - 2895*T1^3*T2^7 + 
     3379*T1^4*T2^7 + 7737*T1^5*T2^7 - 18664*T1^6*T2^7 + 14070*T1^7*T2^7 + 
     289*T1^8*T2^7 - 4955*T1^9*T2^7 + 2117*T1^10*T2^7 - 117*T1^11*T2^7 - 
     84*T1^12*T2^7 - 232*T1^2*T2^8 + 415*T1^3*T2^8 + 1376*T1^4*T2^8 - 
     6469*T1^5*T2^8 + 7457*T1^6*T2^8 + 289*T1^7*T2^8 - 7883*T1^8*T2^8 + 
     6407*T1^9*T2^8 - 1306*T1^10*T2^8 - 421*T1^11*T2^8 + 216*T1^12*T2^8 + 
     157*T1^3*T2^9 - 817*T1^4*T2^9 + 1417*T1^5*T2^9 + 464*T1^6*T2^9 - 
     4955*T1^7*T2^9 + 6407*T1^8*T2^9 - 2890*T1^9*T2^9 - 795*T1^10*T2^9 + 
     1009*T1^11*T2^9 - 287*T1^12*T2^9 - 8*T1^4*T2^10 + 257*T1^5*T2^10 - 
     1110*T1^6*T2^10 + 2117*T1^7*T2^10 - 1306*T1^8*T2^10 - 795*T1^9*T2^10 + 
     1802*T1^10*T2^10 - 975*T1^11*T2^10 + 216*T1^12*T2^10 - 40*T1^5*T2^11 + 
     142*T1^6*T2^11 - 117*T1^7*T2^11 - 421*T1^8*T2^11 + 1009*T1^9*T2^11 - 
     975*T1^10*T2^11 + 428*T1^11*T2^11 - 84*T1^12*T2^11 + 15*T1^6*T2^12 - 
     84*T1^7*T2^12 + 216*T1^8*T2^12 - 287*T1^9*T2^12 + 216*T1^10*T2^12 - 
     84*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 490] -> {(5 - 19*T + 29*T^2 - 19*T^3 + 5*T^4)/T^2, 
   (-260 + 984*T1 - 1498*T1^2 + 984*T1^3 - 260*T1^4 + 984*T2 - 3209*T1*T2 + 
     3747*T1^2*T2 - 813*T1^3*T2 - 929*T1^4*T2 + 509*T1^5*T2 - 1498*T2^2 + 
     3747*T1*T2^2 - 1485*T1^2*T2^2 - 5087*T1^3*T2^2 + 5475*T1^4*T2^2 - 
     1763*T1^5*T2^2 - 48*T1^6*T2^2 + 984*T2^3 - 813*T1*T2^3 - 
     5087*T1^2*T2^3 + 11944*T1^3*T2^3 - 7664*T1^4*T2^3 - 128*T1^5*T2^3 + 
     1847*T1^6*T2^3 - 441*T1^7*T2^3 - 260*T2^4 - 929*T1*T2^4 + 
     5475*T1^2*T2^4 - 7664*T1^3*T2^4 - 48*T1^4*T2^4 + 7764*T1^5*T2^4 - 
     5343*T1^6*T2^4 + 781*T1^7*T2^4 + 240*T1^8*T2^4 + 509*T1*T2^5 - 
     1763*T1^2*T2^5 - 128*T1^3*T2^5 + 7764*T1^4*T2^5 - 11844*T1^5*T2^5 + 
     4831*T1^6*T2^5 + 897*T1^7*T2^5 - 916*T1^8*T2^5 - 48*T1^2*T2^6 + 
     1847*T1^3*T2^6 - 5343*T1^4*T2^6 + 4831*T1^5*T2^6 + 1617*T1^6*T2^6 - 
     3663*T1^7*T2^6 + 1402*T1^8*T2^6 - 441*T1^3*T2^7 + 781*T1^4*T2^7 + 
     897*T1^5*T2^7 - 3663*T1^6*T2^7 + 3061*T1^7*T2^7 - 916*T1^8*T2^7 + 
     240*T1^4*T2^8 - 916*T1^5*T2^8 + 1402*T1^6*T2^8 - 916*T1^7*T2^8 + 
     240*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 491] -> 
  {-(((1 - T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3), 
   -((-3 + 21*T1 - 48*T1^2 + 63*T1^3 - 48*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 237*T1^2*T2 - 216*T1^3*T2 + 43*T1^4*T2 + 76*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 48*T2^2 + 237*T1*T2^2 - 83*T1^2*T2^2 - 
      496*T1^3*T2^2 + 1093*T1^4*T2^2 - 944*T1^5*T2^2 + 397*T1^6*T2^2 + 
      13*T1^7*T2^2 - 16*T1^8*T2^2 + 63*T2^3 - 216*T1*T2^3 - 496*T1^2*T2^3 + 
      1651*T1^3*T2^3 - 1988*T1^4*T2^3 + 707*T1^5*T2^3 + 461*T1^6*T2^3 - 
      608*T1^7*T2^3 + 113*T1^8*T2^3 - 48*T2^4 + 43*T1*T2^4 + 1093*T1^2*T2^4 - 
      1988*T1^3*T2^4 + 677*T1^4*T2^4 + 1909*T1^5*T2^4 - 2479*T1^6*T2^4 + 
      1078*T1^7*T2^4 + 59*T1^8*T2^4 - 111*T1^9*T2^4 + 16*T1^10*T2^4 + 
      21*T2^5 + 76*T1*T2^5 - 944*T1^2*T2^5 + 707*T1^3*T2^5 + 1909*T1^4*T2^5 - 
      3381*T1^5*T2^5 + 1603*T1^6*T2^5 + 1013*T1^7*T2^5 - 1246*T1^8*T2^5 + 
      512*T1^9*T2^5 - 15*T1^10*T2^5 - 14*T1^11*T2^5 - 3*T2^6 - 77*T1*T2^6 + 
      397*T1^2*T2^6 + 461*T1^3*T2^6 - 2479*T1^4*T2^6 + 1603*T1^5*T2^6 + 
      1104*T1^6*T2^6 - 2667*T1^7*T2^6 + 1181*T1^8*T2^6 - 113*T1^9*T2^6 - 
      367*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 14*T1*T2^7 + 
      13*T1^2*T2^7 - 608*T1^3*T2^7 + 1078*T1^4*T2^7 + 1013*T1^5*T2^7 - 
      2667*T1^6*T2^7 + 2317*T1^7*T2^7 + 117*T1^8*T2^7 - 875*T1^9*T2^7 + 
      848*T1^10*T2^7 - 78*T1^11*T2^7 - 21*T1^12*T2^7 - 16*T1^2*T2^8 + 
      113*T1^3*T2^8 + 59*T1^4*T2^8 - 1246*T1^5*T2^8 + 1181*T1^6*T2^8 + 
      117*T1^7*T2^8 - 1975*T1^8*T2^8 + 1820*T1^9*T2^8 - 975*T1^10*T2^8 - 
      41*T1^11*T2^8 + 48*T1^12*T2^8 - 111*T1^4*T2^9 + 512*T1^5*T2^9 - 
      113*T1^6*T2^9 - 875*T1^7*T2^9 + 1820*T1^8*T2^9 - 1303*T1^9*T2^9 + 
      400*T1^10*T2^9 + 218*T1^11*T2^9 - 63*T1^12*T2^9 + 16*T1^4*T2^10 - 
      15*T1^5*T2^10 - 367*T1^6*T2^10 + 848*T1^7*T2^10 - 975*T1^8*T2^10 + 
      400*T1^9*T2^10 + 113*T1^10*T2^10 - 239*T1^11*T2^10 + 48*T1^12*T2^10 - 
      14*T1^5*T2^11 + 77*T1^6*T2^11 - 78*T1^7*T2^11 - 41*T1^8*T2^11 + 
      218*T1^9*T2^11 - 239*T1^10*T2^11 + 133*T1^11*T2^11 - 21*T1^12*T2^11 + 
      3*T1^6*T2^12 - 21*T1^7*T2^12 + 48*T1^8*T2^12 - 63*T1^9*T2^12 + 
      48*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 492] -> 
  {-((2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 112*T1 - 250*T1^2 + 339*T1^3 - 250*T1^4 + 112*T1^5 - 25*T1^6 + 
      112*T2 - 426*T1*T2 + 780*T1^2*T2 - 758*T1^3*T2 + 88*T1^4*T2 + 
      258*T1^5*T2 - 228*T1^6*T2 + 76*T1^7*T2 - 250*T2^2 + 780*T1*T2^2 - 
      1082*T1^2*T2^2 + 439*T1^3*T2^2 + 1148*T1^4*T2^2 - 1001*T1^5*T2^2 + 
      358*T1^6*T2^2 + 60*T1^7*T2^2 - 90*T1^8*T2^2 + 339*T2^3 - 758*T1*T2^3 + 
      439*T1^2*T2^3 + 1114*T1^3*T2^3 - 2932*T1^4*T2^3 + 830*T1^5*T2^3 + 
      592*T1^6*T2^3 - 821*T1^7*T2^3 + 340*T1^8*T2^3 + 15*T1^9*T2^3 - 
      250*T2^4 + 88*T1*T2^4 + 1148*T1^2*T2^4 - 2932*T1^3*T2^4 + 
      3071*T1^4*T2^4 + 1815*T1^5*T2^4 - 2797*T1^6*T2^4 + 1496*T1^7*T2^4 - 
      26*T1^8*T2^4 - 380*T1^9*T2^4 + 70*T1^10*T2^4 + 112*T2^5 + 258*T1*T2^5 - 
      1001*T1^2*T2^5 + 830*T1^3*T2^5 + 1815*T1^4*T2^5 - 6670*T1^5*T2^5 + 
      4040*T1^6*T2^5 + 15*T1^7*T2^5 - 1600*T1^8*T2^5 + 979*T1^9*T2^5 - 
      12*T1^10*T2^5 - 68*T1^11*T2^5 - 25*T2^6 - 228*T1*T2^6 + 358*T1^2*T2^6 + 
      592*T1^3*T2^6 - 2797*T1^4*T2^6 + 4040*T1^5*T2^6 + 1164*T1^6*T2^6 - 
      4744*T1^7*T2^6 + 3335*T1^8*T2^6 - 776*T1^9*T2^6 - 478*T1^10*T2^6 + 
      204*T1^11*T2^6 + 23*T1^12*T2^6 + 76*T1*T2^7 + 60*T1^2*T2^7 - 
      821*T1^3*T2^7 + 1496*T1^4*T2^7 + 15*T1^5*T2^7 - 4744*T1^6*T2^7 + 
      5966*T1^7*T2^7 - 1785*T1^8*T2^7 - 934*T1^9*T2^7 + 1159*T1^10*T2^7 - 
      210*T1^11*T2^7 - 104*T1^12*T2^7 - 90*T1^2*T2^8 + 340*T1^3*T2^8 - 
      26*T1^4*T2^8 - 1600*T1^5*T2^8 + 3335*T1^6*T2^8 - 1785*T1^7*T2^8 - 
      2533*T1^8*T2^8 + 2828*T1^9*T2^8 - 1200*T1^10*T2^8 - 128*T1^11*T2^8 + 
      230*T1^12*T2^8 + 15*T1^3*T2^9 - 380*T1^4*T2^9 + 979*T1^5*T2^9 - 
      776*T1^6*T2^9 - 934*T1^7*T2^9 + 2828*T1^8*T2^9 - 1298*T1^9*T2^9 - 
      281*T1^10*T2^9 + 718*T1^11*T2^9 - 309*T1^12*T2^9 + 70*T1^4*T2^10 - 
      12*T1^5*T2^10 - 478*T1^6*T2^10 + 1159*T1^7*T2^10 - 1200*T1^8*T2^10 - 
      281*T1^9*T2^10 + 962*T1^10*T2^10 - 732*T1^11*T2^10 + 230*T1^12*T2^10 - 
      68*T1^5*T2^11 + 204*T1^6*T2^11 - 210*T1^7*T2^11 - 128*T1^8*T2^11 + 
      718*T1^9*T2^11 - 732*T1^10*T2^11 + 402*T1^11*T2^11 - 104*T1^12*T2^11 + 
      23*T1^6*T2^12 - 104*T1^7*T2^12 + 230*T1^8*T2^12 - 309*T1^9*T2^12 + 
      230*T1^10*T2^12 - 104*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 493] -> 
  {-((2 - 9*T + 21*T^2 - 29*T^3 + 21*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-23 + 103*T1 - 240*T1^2 + 331*T1^3 - 240*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 394*T1*T2 + 774*T1^2*T2 - 784*T1^3*T2 + 116*T1^4*T2 + 
      234*T1^5*T2 - 196*T1^6*T2 + 67*T1^7*T2 - 240*T2^2 + 774*T1*T2^2 - 
      1232*T1^2*T2^2 + 646*T1^3*T2^2 + 1060*T1^4*T2^2 - 1034*T1^5*T2^2 + 
      364*T1^6*T2^2 + 18*T1^7*T2^2 - 72*T1^8*T2^2 + 331*T2^3 - 784*T1*T2^3 + 
      646*T1^2*T2^3 + 1089*T1^3*T2^3 - 3193*T1^4*T2^3 + 1037*T1^5*T2^3 + 
      813*T1^6*T2^3 - 929*T1^7*T2^3 + 404*T1^8*T2^3 - 17*T1^9*T2^3 - 
      240*T2^4 + 116*T1*T2^4 + 1060*T1^2*T2^4 - 3193*T1^3*T2^4 + 
      3262*T1^4*T2^4 + 2244*T1^5*T2^4 - 3986*T1^6*T2^4 + 1853*T1^7*T2^4 - 
      110*T1^8*T2^4 - 352*T1^9*T2^4 + 96*T1^10*T2^4 + 103*T2^5 + 
      234*T1*T2^5 - 1034*T1^2*T2^5 + 1037*T1^3*T2^5 + 2244*T1^4*T2^5 - 
      8126*T1^5*T2^5 + 6304*T1^6*T2^5 - 339*T1^7*T2^5 - 1561*T1^8*T2^5 + 
      961*T1^9*T2^5 - 90*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 196*T1*T2^6 + 
      364*T1^2*T2^6 + 813*T1^3*T2^6 - 3986*T1^4*T2^6 + 6304*T1^5*T2^6 - 
      1272*T1^6*T2^6 - 5396*T1^7*T2^6 + 3880*T1^8*T2^6 - 1017*T1^9*T2^6 - 
      284*T1^10*T2^6 + 236*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 + 
      18*T1^2*T2^7 - 929*T1^3*T2^7 + 1853*T1^4*T2^7 - 339*T1^5*T2^7 - 
      5396*T1^6*T2^7 + 9034*T1^7*T2^7 - 2922*T1^8*T2^7 - 745*T1^9*T2^7 + 
      1066*T1^10*T2^7 - 306*T1^11*T2^7 - 113*T1^12*T2^7 - 72*T1^2*T2^8 + 
      404*T1^3*T2^8 - 110*T1^4*T2^8 - 1561*T1^5*T2^8 + 3880*T1^6*T2^8 - 
      2922*T1^7*T2^8 - 3368*T1^8*T2^8 + 3485*T1^9*T2^8 - 1280*T1^10*T2^8 - 
      64*T1^11*T2^8 + 264*T1^12*T2^8 - 17*T1^3*T2^9 - 352*T1^4*T2^9 + 
      961*T1^5*T2^9 - 1017*T1^6*T2^9 - 745*T1^7*T2^9 + 3485*T1^8*T2^9 - 
      1293*T1^9*T2^9 - 614*T1^10*T2^9 + 836*T1^11*T2^9 - 365*T1^12*T2^9 + 
      96*T1^4*T2^10 - 90*T1^5*T2^10 - 284*T1^6*T2^10 + 1066*T1^7*T2^10 - 
      1280*T1^8*T2^10 - 614*T1^9*T2^10 + 1312*T1^10*T2^10 - 846*T1^11*T2^10 + 
      264*T1^12*T2^10 - 77*T1^5*T2^11 + 236*T1^6*T2^11 - 306*T1^7*T2^11 - 
      64*T1^8*T2^11 + 836*T1^9*T2^11 - 846*T1^10*T2^11 + 434*T1^11*T2^11 - 
      113*T1^12*T2^11 + 25*T1^6*T2^12 - 113*T1^7*T2^12 + 264*T1^8*T2^12 - 
      365*T1^9*T2^12 + 264*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 494] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 36*T1^3 - 30*T1^4 + 36*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 + 20*T1^3*T2 - 55*T1^5*T2 + 
     90*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 48*T2^2 + 
     115*T1*T2^2 + 207*T1^2*T2^2 - 546*T1^3*T2^2 + 246*T1^4*T2^2 - 
     135*T1^5*T2^2 + 198*T1^6*T2^2 - 562*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 36*T2^3 + 20*T1*T2^3 - 546*T1^2*T2^3 + 
     590*T1^3*T2^3 + 180*T1^4*T2^3 - 44*T1^5*T2^3 - 232*T1^6*T2^3 + 
     560*T1^7*T2^3 + 196*T1^8*T2^3 - 450*T1^9*T2^3 + 70*T1^10*T2^3 + 
     18*T1^11*T2^3 - 30*T2^4 + 246*T1^2*T2^4 + 180*T1^3*T2^4 - 
     871*T1^4*T2^4 + 318*T1^5*T2^4 - 123*T1^6*T2^4 + 118*T1^7*T2^4 - 
     851*T1^8*T2^4 + 480*T1^9*T2^4 + 106*T1^10*T2^4 - 40*T1^11*T2^4 - 
     10*T1^12*T2^4 + 36*T2^5 - 55*T1*T2^5 - 135*T1^2*T2^5 - 44*T1^3*T2^5 + 
     318*T1^4*T2^5 + 157*T1^5*T2^5 - 79*T1^6*T2^5 + 53*T1^7*T2^5 + 
     289*T1^8*T2^5 + 69*T1^9*T2^5 - 176*T1^10*T2^5 - 48*T1^11*T2^5 + 
     20*T1^12*T2^5 + 6*T1^13*T2^5 - 48*T2^6 + 90*T1*T2^6 + 198*T1^2*T2^6 - 
     232*T1^3*T2^6 - 123*T1^4*T2^6 - 79*T1^5*T2^6 - 13*T1^6*T2^6 - 
     129*T1^7*T2^6 - 37*T1^8*T2^6 + 33*T1^9*T2^6 - 43*T1^10*T2^6 + 
     40*T1^11*T2^6 + 62*T1^12*T2^6 - 30*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     562*T1^2*T2^7 + 560*T1^3*T2^7 + 118*T1^4*T2^7 + 53*T1^5*T2^7 - 
     129*T1^6*T2^7 + 439*T1^7*T2^7 - 265*T1^8*T2^7 - 29*T1^9*T2^7 - 
     119*T1^10*T2^7 + 171*T1^11*T2^7 - 140*T1^12*T2^7 + 14*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     196*T1^3*T2^8 - 851*T1^4*T2^8 + 289*T1^5*T2^8 - 37*T1^6*T2^8 - 
     265*T1^7*T2^8 + 36*T1^8*T2^8 + 273*T1^9*T2^8 + 79*T1^10*T2^8 - 
     41*T1^11*T2^8 - 23*T1^12*T2^8 + 140*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     450*T1^3*T2^9 + 480*T1^4*T2^9 + 69*T1^5*T2^9 + 33*T1^6*T2^9 - 
     29*T1^7*T2^9 + 273*T1^8*T2^9 - 431*T1^9*T2^9 + 71*T1^10*T2^9 - 
     139*T1^11*T2^9 + 122*T1^12*T2^9 - 220*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 70*T1^3*T2^10 + 
     106*T1^4*T2^10 - 176*T1^5*T2^10 - 43*T1^6*T2^10 - 119*T1^7*T2^10 + 
     79*T1^8*T2^10 + 71*T1^9*T2^10 + 55*T1^10*T2^10 - 7*T1^11*T2^10 + 
     37*T1^12*T2^10 + 96*T1^13*T2^10 - 30*T1^14*T2^10 - 50*T1^15*T2^10 + 
     16*T1^16*T2^10 + 18*T1^3*T2^11 - 40*T1^4*T2^11 - 48*T1^5*T2^11 + 
     40*T1^6*T2^11 + 171*T1^7*T2^11 - 41*T1^8*T2^11 - 139*T1^9*T2^11 - 
     7*T1^10*T2^11 + 91*T1^11*T2^11 - 78*T1^12*T2^11 - 92*T1^13*T2^11 + 
     39*T1^14*T2^11 + 35*T1^15*T2^11 - 12*T1^16*T2^11 - 10*T1^4*T2^12 + 
     20*T1^5*T2^12 + 62*T1^6*T2^12 - 140*T1^7*T2^12 - 23*T1^8*T2^12 + 
     122*T1^9*T2^12 + 37*T1^10*T2^12 - 78*T1^11*T2^12 - 3*T1^12*T2^12 + 
     160*T1^13*T2^12 - 78*T1^14*T2^12 - 20*T1^15*T2^12 + 10*T1^16*T2^12 + 
     6*T1^5*T2^13 - 30*T1^6*T2^13 + 14*T1^7*T2^13 + 140*T1^8*T2^13 - 
     220*T1^9*T2^13 + 96*T1^10*T2^13 - 92*T1^11*T2^13 + 160*T1^12*T2^13 - 
     254*T1^13*T2^13 + 110*T1^14*T2^13 + 20*T1^15*T2^13 - 12*T1^16*T2^13 + 
     25*T1^7*T2^14 - 111*T1^8*T2^14 + 126*T1^9*T2^14 - 30*T1^10*T2^14 + 
     39*T1^11*T2^14 - 78*T1^12*T2^14 + 110*T1^13*T2^14 + T1^14*T2^14 - 
     55*T1^15*T2^14 + 16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     10*T1^9*T2^15 - 50*T1^10*T2^15 + 35*T1^11*T2^15 - 20*T1^12*T2^15 + 
     20*T1^13*T2^15 - 55*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 16*T1^10*T2^16 - 12*T1^11*T2^16 + 
     10*T1^12*T2^16 - 12*T1^13*T2^16 + 16*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 495] -> {(1 - T + T^2)^3/T^3, 
   (-2 + 6*T1 - 12*T1^2 + 14*T1^3 - 12*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 27*T1^2*T2 - 24*T1^3*T2 + 15*T1^4*T2 - 3*T1^6*T2 + 
     3*T1^7*T2 - 12*T2^2 + 27*T1*T2^2 - 52*T1^2*T2^2 + 52*T1^3*T2^2 - 
     44*T1^4*T2^2 + 4*T1^5*T2^2 + 8*T1^6*T2^2 - 9*T1^7*T2^2 + 14*T2^3 - 
     24*T1*T2^3 + 52*T1^2*T2^3 - 35*T1^3*T2^3 + 13*T1^4*T2^3 + 58*T1^5*T2^3 - 
     29*T1^6*T2^3 - 2*T1^7*T2^3 + 21*T1^8*T2^3 - 7*T1^9*T2^3 - 12*T2^4 + 
     15*T1*T2^4 - 44*T1^2*T2^4 + 13*T1^3*T2^4 - 6*T1^4*T2^4 - 48*T1^5*T2^4 - 
     54*T1^6*T2^4 + 55*T1^7*T2^4 - 26*T1^8*T2^4 - 15*T1^9*T2^4 + 
     12*T1^10*T2^4 + 6*T2^5 + 4*T1^2*T2^5 + 58*T1^3*T2^5 - 48*T1^4*T2^5 + 
     29*T1^5*T2^5 + 149*T1^6*T2^5 - 84*T1^7*T2^5 + 7*T1^8*T2^5 + 
     34*T1^9*T2^5 - 9*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 
     8*T1^2*T2^6 - 29*T1^3*T2^6 - 54*T1^4*T2^6 + 149*T1^5*T2^6 - 
     240*T1^6*T2^6 + 23*T1^7*T2^6 + 90*T1^8*T2^6 - 71*T1^9*T2^6 + 
     8*T1^10*T2^6 + 15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 
     2*T1^3*T2^7 + 55*T1^4*T2^7 - 84*T1^5*T2^7 + 23*T1^6*T2^7 + 
     143*T1^7*T2^7 - 120*T1^8*T2^7 + 4*T1^9*T2^7 + 28*T1^10*T2^7 - 
     18*T1^11*T2^7 - 12*T1^12*T2^7 + 21*T1^3*T2^8 - 26*T1^4*T2^8 + 
     7*T1^5*T2^8 + 90*T1^6*T2^8 - 120*T1^7*T2^8 + 42*T1^8*T2^8 + 
     49*T1^9*T2^8 - 8*T1^10*T2^8 - 9*T1^11*T2^8 + 24*T1^12*T2^8 - 
     7*T1^3*T2^9 - 15*T1^4*T2^9 + 34*T1^5*T2^9 - 71*T1^6*T2^9 + 4*T1^7*T2^9 + 
     49*T1^8*T2^9 - 65*T1^9*T2^9 - 20*T1^10*T2^9 + 30*T1^11*T2^9 - 
     28*T1^12*T2^9 + 12*T1^4*T2^10 - 9*T1^5*T2^10 + 8*T1^6*T2^10 + 
     28*T1^7*T2^10 - 8*T1^8*T2^10 - 20*T1^9*T2^10 + 68*T1^10*T2^10 - 
     45*T1^11*T2^10 + 24*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     18*T1^7*T2^11 - 9*T1^8*T2^11 + 30*T1^9*T2^11 - 45*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     24*T1^8*T2^12 - 28*T1^9*T2^12 + 24*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 496] -> 
  {-(((1 - T + T^2)*(1 - 10*T + 17*T^2 - 10*T^3 + T^4))/T^3), 
   -((-5 + 55*T1 - 140*T1^2 + 185*T1^3 - 140*T1^4 + 55*T1^5 - 5*T1^6 + 
      55*T2 - 571*T1*T2 + 1060*T1^2*T2 - 801*T1^3*T2 - 86*T1^4*T2 + 
      631*T1^5*T2 - 439*T1^6*T2 + 44*T1^7*T2 - 140*T2^2 + 1060*T1*T2^2 + 
      1507*T1^2*T2^2 - 7822*T1^3*T2^2 + 12073*T1^4*T2^2 - 9278*T1^5*T2^2 + 
      3019*T1^6*T2^2 + 444*T1^7*T2^2 - 84*T1^8*T2^2 + 185*T2^3 - 
      801*T1*T2^3 - 7822*T1^2*T2^3 + 18001*T1^3*T2^3 - 15535*T1^4*T2^3 + 
      156*T1^5*T2^3 + 10207*T1^6*T2^3 - 7234*T1^7*T2^3 + 112*T1^8*T2^3 + 
      74*T1^9*T2^3 - 140*T2^4 - 86*T1*T2^4 + 12073*T1^2*T2^4 - 
      15535*T1^3*T2^4 - 1017*T1^4*T2^4 + 21271*T1^5*T2^4 - 19157*T1^6*T2^4 + 
      2299*T1^7*T2^4 + 6255*T1^8*T2^4 - 504*T1^9*T2^4 - 28*T1^10*T2^4 + 
      55*T2^5 + 631*T1*T2^5 - 9278*T1^2*T2^5 + 156*T1^3*T2^5 + 
      21271*T1^4*T2^5 - 27007*T1^5*T2^5 + 4957*T1^6*T2^5 + 14439*T1^7*T2^5 - 
      11249*T1^8*T2^5 - 1690*T1^9*T2^5 + 312*T1^10*T2^5 - 5*T2^6 - 
      439*T1*T2^6 + 3019*T1^2*T2^6 + 10207*T1^3*T2^6 - 19157*T1^4*T2^6 + 
      4957*T1^5*T2^6 + 20124*T1^6*T2^6 - 22809*T1^7*T2^6 + 5439*T1^8*T2^6 + 
      6289*T1^9*T2^6 - 569*T1^10*T2^6 - 21*T1^11*T2^6 + T1^12*T2^6 + 
      44*T1*T2^7 + 444*T1^2*T2^7 - 7234*T1^3*T2^7 + 2299*T1^4*T2^7 + 
      14439*T1^5*T2^7 - 22809*T1^6*T2^7 + 9155*T1^7*T2^7 + 7607*T1^8*T2^7 - 
      9106*T1^9*T2^7 + 354*T1^10*T2^7 + 125*T1^11*T2^7 - 11*T1^12*T2^7 - 
      84*T1^2*T2^8 + 112*T1^3*T2^8 + 6255*T1^4*T2^8 - 11249*T1^5*T2^8 + 
      5439*T1^6*T2^8 + 7607*T1^7*T2^8 - 12701*T1^8*T2^8 + 6585*T1^9*T2^8 + 
      437*T1^10*T2^8 - 306*T1^11*T2^8 + 28*T1^12*T2^8 + 74*T1^3*T2^9 - 
      504*T1^4*T2^9 - 1690*T1^5*T2^9 + 6289*T1^6*T2^9 - 9106*T1^7*T2^9 + 
      6585*T1^8*T2^9 - 1505*T1^9*T2^9 - 1102*T1^10*T2^9 + 409*T1^11*T2^9 - 
      37*T1^12*T2^9 - 28*T1^4*T2^10 + 312*T1^5*T2^10 - 569*T1^6*T2^10 + 
      354*T1^7*T2^10 + 437*T1^8*T2^10 - 1102*T1^9*T2^10 + 943*T1^10*T2^10 - 
      304*T1^11*T2^10 + 28*T1^12*T2^10 - 21*T1^6*T2^11 + 125*T1^7*T2^11 - 
      306*T1^8*T2^11 + 409*T1^9*T2^11 - 304*T1^10*T2^11 + 111*T1^11*T2^11 - 
      11*T1^12*T2^11 + T1^6*T2^12 - 11*T1^7*T2^12 + 28*T1^8*T2^12 - 
      37*T1^9*T2^12 + 28*T1^10*T2^12 - 11*T1^11*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 497] -> 
  {-((1 - 9*T + 25*T^2 - 35*T^3 + 25*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 75*T1^2 + 105*T1^3 - 75*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      225*T1*T2 + 513*T1^2*T2 - 495*T1^3*T2 + 45*T1^4*T2 + 207*T1^5*T2 - 
      135*T1^6*T2 + 18*T1^7*T2 - 75*T2^2 + 513*T1*T2^2 - 419*T1^2*T2^2 - 
      1277*T1^3*T2^2 + 3279*T1^4*T2^2 - 2577*T1^5*T2^2 + 781*T1^6*T2^2 + 
      63*T1^7*T2^2 - 25*T1^8*T2^2 + 105*T2^3 - 495*T1*T2^3 - 1277*T1^2*T2^3 + 
      5740*T1^3*T2^3 - 7612*T1^4*T2^3 + 2318*T1^5*T2^3 + 1870*T1^6*T2^3 - 
      1652*T1^7*T2^3 + 225*T1^8*T2^3 - 75*T2^4 + 45*T1*T2^4 + 
      3279*T1^2*T2^4 - 7612*T1^3*T2^4 + 4219*T1^4*T2^4 + 7249*T1^5*T2^4 - 
      9761*T1^6*T2^4 + 4008*T1^7*T2^4 + 109*T1^8*T2^4 - 225*T1^9*T2^4 + 
      25*T1^10*T2^4 + 27*T2^5 + 207*T1*T2^5 - 2577*T1^2*T2^5 + 
      2318*T1^3*T2^5 + 7249*T1^4*T2^5 - 18027*T1^5*T2^5 + 11973*T1^6*T2^5 + 
      674*T1^7*T2^5 - 4232*T1^8*T2^5 + 1498*T1^9*T2^5 - 63*T1^10*T2^5 - 
      18*T1^11*T2^5 - 3*T2^6 - 135*T1*T2^6 + 781*T1^2*T2^6 + 1870*T1^3*T2^6 - 
      9761*T1^4*T2^6 + 11973*T1^5*T2^6 + 924*T1^6*T2^6 - 12805*T1^7*T2^6 + 
      9049*T1^8*T2^6 - 1490*T1^9*T2^6 - 735*T1^10*T2^6 + 135*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 63*T1^2*T2^7 - 1652*T1^3*T2^7 + 
      4008*T1^4*T2^7 + 674*T1^5*T2^7 - 12805*T1^6*T2^7 + 17195*T1^7*T2^7 - 
      5901*T1^8*T2^7 - 2542*T1^9*T2^7 + 2423*T1^10*T2^7 - 207*T1^11*T2^7 - 
      27*T1^12*T2^7 - 25*T1^2*T2^8 + 225*T1^3*T2^8 + 109*T1^4*T2^8 - 
      4232*T1^5*T2^8 + 9049*T1^6*T2^8 - 5901*T1^7*T2^8 - 4931*T1^8*T2^8 + 
      7388*T1^9*T2^8 - 3061*T1^10*T2^8 - 45*T1^11*T2^8 + 75*T1^12*T2^8 - 
      225*T1^4*T2^9 + 1498*T1^5*T2^9 - 1490*T1^6*T2^9 - 2542*T1^7*T2^9 + 
      7388*T1^8*T2^9 - 5360*T1^9*T2^9 + 1123*T1^10*T2^9 + 495*T1^11*T2^9 - 
      105*T1^12*T2^9 + 25*T1^4*T2^10 - 63*T1^5*T2^10 - 735*T1^6*T2^10 + 
      2423*T1^7*T2^10 - 3061*T1^8*T2^10 + 1123*T1^9*T2^10 + 465*T1^10*T2^10 - 
      513*T1^11*T2^10 + 75*T1^12*T2^10 - 18*T1^5*T2^11 + 135*T1^6*T2^11 - 
      207*T1^7*T2^11 - 45*T1^8*T2^11 + 495*T1^9*T2^11 - 513*T1^10*T2^11 + 
      225*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      75*T1^8*T2^12 - 105*T1^9*T2^12 + 75*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 498] -> 
  {-((5 - 20*T + 29*T^2 - 20*T^3 + 5*T^4)/T^2), 
   -((-365 + 1440*T1 - 2075*T1^2 + 1440*T1^3 - 365*T1^4 + 1440*T2 - 
      4742*T1*T2 + 4514*T1^2*T2 - 386*T1^3*T2 - 2242*T1^4*T2 + 940*T1^5*T2 - 
      2075*T2^2 + 4514*T1*T2^2 + 1921*T1^2*T2^2 - 10111*T1^3*T2^2 + 
      8881*T1^4*T2^2 - 1286*T1^5*T2^2 - 625*T1^6*T2^2 + 1440*T2^3 - 
      386*T1*T2^3 - 10111*T1^2*T2^3 + 15012*T1^3*T2^3 - 5908*T1^4*T2^3 - 
      4311*T1^5*T2^3 + 2714*T1^6*T2^3 - 60*T1^7*T2^3 - 365*T2^4 - 
      2242*T1*T2^4 + 8881*T1^2*T2^4 - 5908*T1^3*T2^4 - 6228*T1^4*T2^4 + 
      11292*T1^5*T2^4 - 4219*T1^6*T2^4 - 242*T1^7*T2^4 + 135*T1^8*T2^4 + 
      940*T1*T2^5 - 1286*T1^2*T2^5 - 4311*T1^3*T2^5 + 11292*T1^4*T2^5 - 
      9628*T1^5*T2^5 + 1489*T1^6*T2^5 + 1814*T1^7*T2^5 - 560*T1^8*T2^5 - 
      625*T1^2*T2^6 + 2714*T1^3*T2^6 - 4219*T1^4*T2^6 + 1489*T1^5*T2^6 + 
      2741*T1^6*T2^6 - 3086*T1^7*T2^6 + 825*T1^8*T2^6 - 60*T1^3*T2^7 - 
      242*T1^4*T2^7 + 1814*T1^5*T2^7 - 3086*T1^6*T2^7 + 2258*T1^7*T2^7 - 
      560*T1^8*T2^7 + 135*T1^4*T2^8 - 560*T1^5*T2^8 + 825*T1^6*T2^8 - 
      560*T1^7*T2^8 + 135*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 499] -> {-(((1 - 3*T + T^2)*(1 - T + T^2)^2)/T^3), 
   -((-3 + 15*T1 - 30*T1^2 + 39*T1^3 - 30*T1^4 + 15*T1^5 - 3*T1^6 + 15*T2 - 
      65*T1*T2 + 100*T1^2*T2 - 95*T1^3*T2 + 20*T1^4*T2 + 25*T1^5*T2 - 
      35*T1^6*T2 + 10*T1^7*T2 - 30*T2^2 + 100*T1*T2^2 - 56*T1^2*T2^2 - 
      79*T1^3*T2^2 + 276*T1^4*T2^2 - 239*T1^5*T2^2 + 124*T1^6*T2^2 - 
      10*T1^8*T2^2 + 39*T2^3 - 95*T1*T2^3 - 79*T1^2*T2^3 + 325*T1^3*T2^3 - 
      451*T1^4*T2^3 + 114*T1^5*T2^3 + 121*T1^6*T2^3 - 169*T1^7*T2^3 + 
      50*T1^8*T2^3 - 30*T2^4 + 20*T1*T2^4 + 276*T1^2*T2^4 - 451*T1^3*T2^4 + 
      88*T1^4*T2^4 + 576*T1^5*T2^4 - 592*T1^6*T2^4 + 199*T1^7*T2^4 + 
      26*T1^8*T2^4 - 50*T1^9*T2^4 + 10*T1^10*T2^4 + 15*T2^5 + 25*T1*T2^5 - 
      239*T1^2*T2^5 + 114*T1^3*T2^5 + 576*T1^4*T2^5 - 753*T1^5*T2^5 + 
      137*T1^6*T2^5 + 476*T1^7*T2^5 - 281*T1^8*T2^5 + 131*T1^9*T2^5 - 
      10*T1^11*T2^5 - 3*T2^6 - 35*T1*T2^6 + 124*T1^2*T2^6 + 121*T1^3*T2^6 - 
      592*T1^4*T2^6 + 137*T1^5*T2^6 + 432*T1^6*T2^6 - 593*T1^7*T2^6 - 
      32*T1^8*T2^6 + 43*T1^9*T2^6 - 116*T1^10*T2^6 + 35*T1^11*T2^6 + 
      3*T1^12*T2^6 + 10*T1*T2^7 - 169*T1^3*T2^7 + 199*T1^4*T2^7 + 
      476*T1^5*T2^7 - 593*T1^6*T2^7 + 297*T1^7*T2^7 + 376*T1^8*T2^7 - 
      196*T1^9*T2^7 + 201*T1^10*T2^7 - 25*T1^11*T2^7 - 15*T1^12*T2^7 - 
      10*T1^2*T2^8 + 50*T1^3*T2^8 + 26*T1^4*T2^8 - 281*T1^5*T2^8 - 
      32*T1^6*T2^8 + 376*T1^7*T2^8 - 712*T1^8*T2^8 + 369*T1^9*T2^8 - 
      224*T1^10*T2^8 - 20*T1^11*T2^8 + 30*T1^12*T2^8 - 50*T1^4*T2^9 + 
      131*T1^5*T2^9 + 43*T1^6*T2^9 - 196*T1^7*T2^9 + 369*T1^8*T2^9 - 
      161*T1^9*T2^9 + 41*T1^10*T2^9 + 95*T1^11*T2^9 - 39*T1^12*T2^9 + 
      10*T1^4*T2^10 - 116*T1^6*T2^10 + 201*T1^7*T2^10 - 224*T1^8*T2^10 + 
      41*T1^9*T2^10 + 64*T1^10*T2^10 - 100*T1^11*T2^10 + 30*T1^12*T2^10 - 
      10*T1^5*T2^11 + 35*T1^6*T2^11 - 25*T1^7*T2^11 - 20*T1^8*T2^11 + 
      95*T1^9*T2^11 - 100*T1^10*T2^11 + 65*T1^11*T2^11 - 15*T1^12*T2^11 + 
      3*T1^6*T2^12 - 15*T1^7*T2^12 + 30*T1^8*T2^12 - 39*T1^9*T2^12 + 
      30*T1^10*T2^12 - 15*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 500] -> 
  {((1 - T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3, 
   (-17 + 50*T1 - 92*T1^2 + 109*T1^3 - 92*T1^4 + 50*T1^5 - 17*T1^6 + 50*T2 - 
     124*T1*T2 + 196*T1^2*T2 - 182*T1^3*T2 + 106*T1^4*T2 - 8*T1^5*T2 - 
     28*T1^6*T2 + 26*T1^7*T2 - 92*T2^2 + 196*T1*T2^2 - 253*T1^2*T2^2 + 
     165*T1^3*T2^2 - 13*T1^4*T2^2 - 143*T1^5*T2^2 + 143*T1^6*T2^2 - 
     68*T1^7*T2^2 - 4*T1^8*T2^2 + 109*T2^3 - 182*T1*T2^3 + 165*T1^2*T2^3 - 
     38*T1^3*T2^3 - 96*T1^4*T2^3 + 162*T1^5*T2^3 + 10*T1^6*T2^3 - 
     165*T1^7*T2^3 + 154*T1^8*T2^3 - 47*T1^9*T2^3 - 92*T2^4 + 106*T1*T2^4 - 
     13*T1^2*T2^4 - 96*T1^3*T2^4 + 189*T1^4*T2^4 - 135*T1^5*T2^4 - 
     111*T1^6*T2^4 + 164*T1^7*T2^4 + 19*T1^8*T2^4 - 110*T1^9*T2^4 + 
     84*T1^10*T2^4 + 50*T2^5 - 8*T1*T2^5 - 143*T1^2*T2^5 + 162*T1^3*T2^5 - 
     135*T1^4*T2^5 - 153*T1^5*T2^5 + 393*T1^6*T2^5 - 256*T1^7*T2^5 - 
     92*T1^8*T2^5 + 99*T1^9*T2^5 - 44*T1^10*T2^5 - 70*T1^11*T2^5 - 17*T2^6 - 
     28*T1*T2^6 + 143*T1^2*T2^6 + 10*T1^3*T2^6 - 111*T1^4*T2^6 + 
     393*T1^5*T2^6 - 252*T1^6*T2^6 - 149*T1^7*T2^6 + 459*T1^8*T2^6 - 
     170*T1^9*T2^6 + 27*T1^10*T2^6 + 116*T1^11*T2^6 + 31*T1^12*T2^6 + 
     26*T1*T2^7 - 68*T1^2*T2^7 - 165*T1^3*T2^7 + 164*T1^4*T2^7 - 
     256*T1^5*T2^7 - 149*T1^6*T2^7 + 397*T1^7*T2^7 - 377*T1^8*T2^7 - 
     90*T1^9*T2^7 + 77*T1^10*T2^7 - 104*T1^11*T2^7 - 94*T1^12*T2^7 - 
     4*T1^2*T2^8 + 154*T1^3*T2^8 + 19*T1^4*T2^8 - 92*T1^5*T2^8 + 
     459*T1^6*T2^8 - 377*T1^7*T2^8 + 159*T1^8*T2^8 + 168*T1^9*T2^8 + 
     51*T1^10*T2^8 - 62*T1^11*T2^8 + 172*T1^12*T2^8 - 47*T1^3*T2^9 - 
     110*T1^4*T2^9 + 99*T1^5*T2^9 - 170*T1^6*T2^9 - 90*T1^7*T2^9 + 
     168*T1^8*T2^9 - 122*T1^9*T2^9 - 231*T1^10*T2^9 + 226*T1^11*T2^9 - 
     203*T1^12*T2^9 + 84*T1^4*T2^10 - 44*T1^5*T2^10 + 27*T1^6*T2^10 + 
     77*T1^7*T2^10 + 51*T1^8*T2^10 - 231*T1^9*T2^10 + 423*T1^10*T2^10 - 
     308*T1^11*T2^10 + 172*T1^12*T2^10 - 70*T1^5*T2^11 + 116*T1^6*T2^11 - 
     104*T1^7*T2^11 - 62*T1^8*T2^11 + 226*T1^9*T2^11 - 308*T1^10*T2^11 + 
     212*T1^11*T2^11 - 94*T1^12*T2^11 + 31*T1^6*T2^12 - 94*T1^7*T2^12 + 
     172*T1^8*T2^12 - 203*T1^9*T2^12 + 172*T1^10*T2^12 - 94*T1^11*T2^12 + 
     31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 501] -> {(2 - 3*T + 2*T^2)^2/T^2, 
   (2*(-64 + 188*T1 - 264*T1^2 + 188*T1^3 - 64*T1^4 + 188*T2 - 472*T1*T2 + 
      518*T1^2*T2 - 178*T1^3*T2 - 88*T1^4*T2 + 92*T1^5*T2 - 264*T2^2 + 
      518*T1*T2^2 - 189*T1^2*T2^2 - 536*T1^3*T2^2 + 695*T1^4*T2^2 - 
      298*T1^5*T2^2 + 8*T1^6*T2^2 + 188*T2^3 - 178*T1*T2^3 - 536*T1^2*T2^3 + 
      1112*T1^3*T2^3 - 694*T1^4*T2^3 - 128*T1^5*T2^3 + 278*T1^6*T2^3 - 
      100*T1^7*T2^3 - 64*T2^4 - 88*T1*T2^4 + 695*T1^2*T2^4 - 694*T1^3*T2^4 - 
      78*T1^4*T2^4 + 794*T1^5*T2^4 - 489*T1^6*T2^4 + 104*T1^7*T2^4 + 
      64*T1^8*T2^4 + 92*T1*T2^5 - 298*T1^2*T2^5 - 128*T1^3*T2^5 + 
      794*T1^4*T2^5 - 1012*T1^5*T2^5 + 280*T1^6*T2^5 + 158*T1^7*T2^5 - 
      196*T1^8*T2^5 + 8*T1^2*T2^6 + 278*T1^3*T2^6 - 489*T1^4*T2^6 + 
      280*T1^5*T2^6 + 395*T1^6*T2^6 - 538*T1^7*T2^6 + 280*T1^8*T2^6 - 
      100*T1^3*T2^7 + 104*T1^4*T2^7 + 158*T1^5*T2^7 - 538*T1^6*T2^7 + 
      488*T1^7*T2^7 - 196*T1^8*T2^7 + 64*T1^4*T2^8 - 196*T1^5*T2^8 + 
      280*T1^6*T2^8 - 196*T1^7*T2^8 + 64*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 502] -> 
  {(2 - 3*T + T^2 + T^3 - T^4 + T^5 + T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 + 32*T1^2 + 33*T1^3 - 33*T1^4 + 33*T1^5 + 32*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 79*T1^2*T2 - 91*T1^3*T2 + 
      6*T1^4*T2 - 6*T1^5*T2 - 91*T1^6*T2 + 103*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 32*T2^2 + 79*T1*T2^2 - 150*T1^2*T2^2 + 43*T1^3*T2^2 + 
      60*T1^4*T2^2 - 36*T1^5*T2^2 + 68*T1^6*T2^2 + 27*T1^7*T2^2 - 
      146*T1^8*T2^2 + 91*T1^9*T2^2 + 24*T1^10*T2^2 + 33*T2^3 - 91*T1*T2^3 + 
      43*T1^2*T2^3 + 65*T1^3*T2^3 - 79*T1^4*T2^3 + 26*T1^5*T2^3 + 
      20*T1^6*T2^3 - 91*T1^7*T2^3 + 83*T1^8*T2^3 + 22*T1^9*T2^3 - 
      67*T1^10*T2^3 + 21*T1^11*T2^3 - 33*T2^4 + 6*T1*T2^4 + 60*T1^2*T2^4 - 
      79*T1^3*T2^4 + 25*T1^4*T2^4 + 18*T1^5*T2^4 - 59*T1^6*T2^4 + 
      38*T1^7*T2^4 + 25*T1^8*T2^4 - 77*T1^9*T2^4 + 50*T1^10*T2^4 - 
      6*T1^11*T2^4 - 17*T1^12*T2^4 + 33*T2^5 - 6*T1*T2^5 - 36*T1^2*T2^5 + 
      26*T1^3*T2^5 + 18*T1^4*T2^5 - 20*T1^5*T2^5 + 32*T1^6*T2^5 - 
      6*T1^7*T2^5 - 28*T1^8*T2^5 + 33*T1^9*T2^5 + 12*T1^10*T2^5 - 
      21*T1^11*T2^5 + 6*T1^12*T2^5 + 13*T1^13*T2^5 + 32*T2^6 - 91*T1*T2^6 + 
      68*T1^2*T2^6 + 20*T1^3*T2^6 - 59*T1^4*T2^6 + 32*T1^5*T2^6 + 
      4*T1^6*T2^6 - 54*T1^7*T2^6 + 60*T1^8*T2^6 - 8*T1^9*T2^6 - 
      37*T1^10*T2^6 + 14*T1^11*T2^6 + 24*T1^12*T2^6 - 31*T1^13*T2^6 + 
      8*T1^14*T2^6 - 97*T2^7 + 103*T1*T2^7 + 27*T1^2*T2^7 - 91*T1^3*T2^7 + 
      38*T1^4*T2^7 - 6*T1^5*T2^7 - 54*T1^6*T2^7 + 105*T1^7*T2^7 - 
      47*T1^8*T2^7 - 33*T1^9*T2^7 + 28*T1^10*T2^7 + 3*T1^11*T2^7 - 
      23*T1^12*T2^7 + 18*T1^13*T2^7 + 7*T1^14*T2^7 - 13*T1^15*T2^7 + 
      65*T2^8 + 30*T1*T2^8 - 146*T1^2*T2^8 + 83*T1^3*T2^8 + 25*T1^4*T2^8 - 
      28*T1^5*T2^8 + 60*T1^6*T2^8 - 47*T1^7*T2^8 - 60*T1^8*T2^8 + 
      91*T1^9*T2^8 - 22*T1^10*T2^8 - 8*T1^11*T2^8 + 5*T1^12*T2^8 + 
      5*T1^13*T2^8 - 24*T1^14*T2^8 + 18*T1^15*T2^8 + T1^16*T2^8 - 
      85*T1*T2^9 + 91*T1^2*T2^9 + 22*T1^3*T2^9 - 77*T1^4*T2^9 + 
      33*T1^5*T2^9 - 8*T1^6*T2^9 - 33*T1^7*T2^9 + 91*T1^8*T2^9 - 
      61*T1^9*T2^9 - 12*T1^10*T2^9 + 26*T1^11*T2^9 - 2*T1^12*T2^9 - 
      9*T1^13*T2^9 + 13*T1^14*T2^9 - 5*T1^15*T2^9 - T1^16*T2^9 + 
      24*T1^2*T2^10 - 67*T1^3*T2^10 + 50*T1^4*T2^10 + 12*T1^5*T2^10 - 
      37*T1^6*T2^10 + 28*T1^7*T2^10 - 22*T1^8*T2^10 - 12*T1^9*T2^10 + 
      34*T1^10*T2^10 - 12*T1^11*T2^10 - 15*T1^12*T2^10 + 6*T1^13*T2^10 + 
      6*T1^14*T2^10 - 7*T1^15*T2^10 + 21*T1^3*T2^11 - 6*T1^4*T2^11 - 
      21*T1^5*T2^11 + 14*T1^6*T2^11 + 3*T1^7*T2^11 - 8*T1^8*T2^11 + 
      26*T1^9*T2^11 - 12*T1^10*T2^11 - 16*T1^11*T2^11 + 18*T1^12*T2^11 - 
      6*T1^14*T2^11 + 6*T1^15*T2^11 + T1^16*T2^11 - 17*T1^4*T2^12 + 
      6*T1^5*T2^12 + 24*T1^6*T2^12 - 23*T1^7*T2^12 + 5*T1^8*T2^12 - 
      2*T1^9*T2^12 - 15*T1^10*T2^12 + 18*T1^11*T2^12 + 5*T1^12*T2^12 - 
      21*T1^13*T2^12 + 14*T1^14*T2^12 - 6*T1^15*T2^12 - T1^16*T2^12 + 
      13*T1^5*T2^13 - 31*T1^6*T2^13 + 18*T1^7*T2^13 + 5*T1^8*T2^13 - 
      9*T1^9*T2^13 + 6*T1^10*T2^13 - 21*T1^12*T2^13 + 23*T1^13*T2^13 - 
      3*T1^14*T2^13 - 7*T1^15*T2^13 + T1^16*T2^13 + 8*T1^6*T2^14 + 
      7*T1^7*T2^14 - 24*T1^8*T2^14 + 13*T1^9*T2^14 + 6*T1^10*T2^14 - 
      6*T1^11*T2^14 + 14*T1^12*T2^14 - 3*T1^13*T2^14 - 20*T1^14*T2^14 + 
      19*T1^15*T2^14 - 13*T1^7*T2^15 + 18*T1^8*T2^15 - 5*T1^9*T2^15 - 
      7*T1^10*T2^15 + 6*T1^11*T2^15 - 6*T1^12*T2^15 - 7*T1^13*T2^15 + 
      19*T1^14*T2^15 - 12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - 
      T1^9*T2^16 + T1^11*T2^16 - T1^12*T2^16 + T1^13*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 503] -> 
  {((2 - 3*T + 2*T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   -((400 - 792*T1 + 488*T1^2 - 88*T1^3 + 488*T1^4 - 792*T1^5 + 400*T1^6 - 
      792*T2 + 908*T1*T2 + 344*T1^2*T2 - 632*T1^3*T2 - 824*T1^4*T2 + 
      760*T1^5*T2 + 524*T1^6*T2 - 664*T1^7*T2 + 488*T2^2 + 344*T1*T2^2 - 
      1682*T1^2*T2^2 + 850*T1^3*T2^2 + 706*T1^4*T2^2 + 570*T1^5*T2^2 - 
      1722*T1^6*T2^2 + 664*T1^7*T2^2 + 328*T1^8*T2^2 - 88*T2^3 - 
      632*T1*T2^3 + 850*T1^2*T2^3 + 280*T1^3*T2^3 - 644*T1^4*T2^3 - 
      728*T1^5*T2^3 + 740*T1^6*T2^3 + 430*T1^7*T2^3 - 568*T1^8*T2^3 - 
      40*T1^9*T2^3 + 488*T2^4 - 824*T1*T2^4 + 706*T1^2*T2^4 - 644*T1^3*T2^4 + 
      824*T1^4*T2^4 - 694*T1^5*T2^4 + 632*T1^6*T2^4 - 580*T1^7*T2^4 + 
      434*T1^8*T2^4 - 248*T1^9*T2^4 + 168*T1^10*T2^4 - 792*T2^5 + 
      760*T1*T2^5 + 570*T1^2*T2^5 - 728*T1^3*T2^5 - 694*T1^4*T2^5 + 
      725*T1^5*T2^5 + 335*T1^6*T2^5 - 429*T1^7*T2^5 - 348*T1^8*T2^5 + 
      430*T1^9*T2^5 - 40*T1^10*T2^5 - 152*T1^11*T2^5 + 400*T2^6 + 
      524*T1*T2^6 - 1722*T1^2*T2^6 + 740*T1^3*T2^6 + 632*T1^4*T2^6 + 
      335*T1^5*T2^6 - 1260*T1^6*T2^6 + 497*T1^7*T2^6 + 358*T1^8*T2^6 - 
      44*T1^9*T2^6 - 354*T1^10*T2^6 + 268*T1^11*T2^6 + 16*T1^12*T2^6 - 
      664*T1*T2^7 + 664*T1^2*T2^7 + 430*T1^3*T2^7 - 580*T1^4*T2^7 - 
      429*T1^5*T2^7 + 497*T1^6*T2^7 + 107*T1^7*T2^7 - 164*T1^8*T2^7 - 
      200*T1^9*T2^7 + 290*T1^10*T2^7 - 136*T1^11*T2^7 - 24*T1^12*T2^7 + 
      328*T1^2*T2^8 - 568*T1^3*T2^8 + 434*T1^4*T2^8 - 348*T1^5*T2^8 + 
      358*T1^6*T2^8 - 164*T1^7*T2^8 + 166*T1^8*T2^8 - 284*T1^9*T2^8 + 
      162*T1^10*T2^8 + 8*T1^11*T2^8 + 8*T1^12*T2^8 - 40*T1^3*T2^9 - 
      248*T1^4*T2^9 + 430*T1^5*T2^9 - 44*T1^6*T2^9 - 200*T1^7*T2^9 - 
      284*T1^8*T2^9 + 416*T1^9*T2^9 + 10*T1^10*T2^9 - 184*T1^11*T2^9 + 
      8*T1^12*T2^9 + 168*T1^4*T2^10 - 40*T1^5*T2^10 - 354*T1^6*T2^10 + 
      290*T1^7*T2^10 + 162*T1^8*T2^10 + 10*T1^9*T2^10 - 394*T1^10*T2^10 + 
      280*T1^11*T2^10 + 8*T1^12*T2^10 - 152*T1^5*T2^11 + 268*T1^6*T2^11 - 
      136*T1^7*T2^11 + 8*T1^8*T2^11 - 184*T1^9*T2^11 + 280*T1^10*T2^11 - 
      116*T1^11*T2^11 - 24*T1^12*T2^11 + 16*T1^6*T2^12 - 24*T1^7*T2^12 + 
      8*T1^8*T2^12 + 8*T1^9*T2^12 + 8*T1^10*T2^12 - 24*T1^11*T2^12 + 
      16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 504] -> {(1 - 3*T + 3*T^2 - 3*T^3 + T^4)^2/T^4, 
   (-4 + 24*T1 - 60*T1^2 + 96*T1^3 - 116*T1^4 + 96*T1^5 - 60*T1^6 + 24*T1^7 - 
     4*T1^8 + 24*T2 - 126*T1*T2 + 252*T1^2*T2 - 306*T1^3*T2 + 264*T1^4*T2 - 
     54*T1^5*T2 - 72*T1^6*T2 + 126*T1^7*T2 - 84*T1^8*T2 + 18*T1^9*T2 - 
     60*T2^2 + 252*T1*T2^2 - 284*T1^2*T2^2 + 9*T1^3*T2^2 + 386*T1^4*T2^2 - 
     954*T1^5*T2^2 + 806*T1^6*T2^2 - 531*T1^7*T2^2 + 136*T1^8*T2^2 + 
     72*T1^9*T2^2 - 30*T1^10*T2^2 + 96*T2^3 - 306*T1*T2^3 + 9*T1^2*T2^3 + 
     664*T1^3*T2^3 - 1126*T1^4*T2^3 + 1567*T1^5*T2^3 - 395*T1^6*T2^3 - 
     136*T1^7*T2^3 + 574*T1^8*T2^3 - 441*T1^9*T2^3 + 36*T1^10*T2^3 + 
     24*T1^11*T2^3 - 116*T2^4 + 264*T1*T2^4 + 386*T1^2*T2^4 - 
     1126*T1^3*T2^4 + 1166*T1^4*T2^4 - 1082*T1^5*T2^4 - 1060*T1^6*T2^4 + 
     862*T1^7*T2^4 - 770*T1^8*T2^4 + 122*T1^9*T2^4 + 398*T1^10*T2^4 - 
     144*T1^11*T2^4 + 96*T2^5 - 54*T1*T2^5 - 954*T1^2*T2^5 + 1567*T1^3*T2^5 - 
     1082*T1^4*T2^5 + 602*T1^5*T2^5 + 1490*T1^6*T2^5 + 248*T1^7*T2^5 - 
     628*T1^8*T2^5 + 928*T1^9*T2^5 - 863*T1^10*T2^5 + 18*T1^11*T2^5 + 
     144*T1^12*T2^5 - 24*T1^13*T2^5 - 60*T2^6 - 72*T1*T2^6 + 806*T1^2*T2^6 - 
     395*T1^3*T2^6 - 1060*T1^4*T2^6 + 1490*T1^5*T2^6 - 2110*T1^6*T2^6 - 
     988*T1^7*T2^6 + 962*T1^8*T2^6 - 202*T1^9*T2^6 - 94*T1^10*T2^6 + 
     865*T1^11*T2^6 - 430*T1^12*T2^6 - 36*T1^13*T2^6 + 30*T1^14*T2^6 + 
     24*T2^7 + 126*T1*T2^7 - 531*T1^2*T2^7 - 136*T1^3*T2^7 + 862*T1^4*T2^7 + 
     248*T1^5*T2^7 - 988*T1^6*T2^7 + 2868*T1^7*T2^7 - 1056*T1^8*T2^7 - 
     1024*T1^9*T2^7 + 590*T1^10*T2^7 - 884*T1^11*T2^7 - 94*T1^12*T2^7 + 
     459*T1^13*T2^7 - 72*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 + 
     136*T1^2*T2^8 + 574*T1^3*T2^8 - 770*T1^4*T2^8 - 628*T1^5*T2^8 + 
     962*T1^6*T2^8 - 1056*T1^7*T2^8 - 588*T1^8*T2^8 + 1848*T1^9*T2^8 + 
     362*T1^10*T2^8 - 28*T1^11*T2^8 + 866*T1^12*T2^8 - 626*T1^13*T2^8 - 
     140*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     72*T1^2*T2^9 - 441*T1^3*T2^9 + 122*T1^4*T2^9 + 928*T1^5*T2^9 - 
     202*T1^6*T2^9 - 1024*T1^7*T2^9 + 1848*T1^8*T2^9 - 2076*T1^9*T2^9 - 
     1060*T1^10*T2^9 + 140*T1^11*T2^9 - 818*T1^12*T2^9 + 164*T1^13*T2^9 + 
     549*T1^14*T2^9 - 126*T1^15*T2^9 - 24*T1^16*T2^9 - 30*T1^2*T2^10 + 
     36*T1^3*T2^10 + 398*T1^4*T2^10 - 863*T1^5*T2^10 - 94*T1^6*T2^10 + 
     590*T1^7*T2^10 + 362*T1^8*T2^10 - 1060*T1^9*T2^10 + 3434*T1^10*T2^10 - 
     1102*T1^11*T2^10 + 872*T1^12*T2^10 + 397*T1^13*T2^10 - 838*T1^14*T2^10 + 
     72*T1^15*T2^10 + 60*T1^16*T2^10 + 24*T1^3*T2^11 - 144*T1^4*T2^11 + 
     18*T1^5*T2^11 + 865*T1^6*T2^11 - 884*T1^7*T2^11 - 28*T1^8*T2^11 + 
     140*T1^9*T2^11 - 1102*T1^10*T2^11 - 1258*T1^11*T2^11 + 
     1126*T1^12*T2^11 - 1565*T1^13*T2^11 + 990*T1^14*T2^11 + 54*T1^15*T2^11 - 
     96*T1^16*T2^11 + 144*T1^5*T2^12 - 430*T1^6*T2^12 - 94*T1^7*T2^12 + 
     866*T1^8*T2^12 - 818*T1^9*T2^12 + 872*T1^10*T2^12 + 1126*T1^11*T2^12 - 
     1070*T1^12*T2^12 + 1154*T1^13*T2^12 - 418*T1^14*T2^12 - 
     264*T1^15*T2^12 + 116*T1^16*T2^12 - 24*T1^5*T2^13 - 36*T1^6*T2^13 + 
     459*T1^7*T2^13 - 626*T1^8*T2^13 + 164*T1^9*T2^13 + 397*T1^10*T2^13 - 
     1565*T1^11*T2^13 + 1154*T1^12*T2^13 - 716*T1^13*T2^13 + 9*T1^14*T2^13 + 
     306*T1^15*T2^13 - 96*T1^16*T2^13 + 30*T1^6*T2^14 - 72*T1^7*T2^14 - 
     140*T1^8*T2^14 + 549*T1^9*T2^14 - 838*T1^10*T2^14 + 990*T1^11*T2^14 - 
     418*T1^12*T2^14 + 9*T1^13*T2^14 + 280*T1^14*T2^14 - 252*T1^15*T2^14 + 
     60*T1^16*T2^14 - 18*T1^7*T2^15 + 84*T1^8*T2^15 - 126*T1^9*T2^15 + 
     72*T1^10*T2^15 + 54*T1^11*T2^15 - 264*T1^12*T2^15 + 306*T1^13*T2^15 - 
     252*T1^14*T2^15 + 126*T1^15*T2^15 - 24*T1^16*T2^15 + 4*T1^8*T2^16 - 
     24*T1^9*T2^16 + 60*T1^10*T2^16 - 96*T1^11*T2^16 + 116*T1^12*T2^16 - 
     96*T1^13*T2^16 + 60*T1^14*T2^16 - 24*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 505] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (-2 + 16*T1 - 48*T1^2 + 66*T1^3 - 48*T1^4 + 16*T1^5 - 2*T1^6 + 16*T2 - 
     120*T1*T2 + 320*T1^2*T2 - 337*T1^3*T2 + 119*T1^4*T2 + 64*T1^5*T2 - 
     48*T1^6*T2 + 8*T1^7*T2 - 48*T2^2 + 320*T1*T2^2 - 634*T1^2*T2^2 + 
     22*T1^3*T2^2 + 1022*T1^4*T2^2 - 1178*T1^5*T2^2 + 470*T1^6*T2^2 - 
     64*T1^7*T2^2 + 66*T2^3 - 337*T1*T2^3 + 22*T1^2*T2^3 + 2509*T1^3*T2^3 - 
     4623*T1^4*T2^3 + 3153*T1^5*T2^3 - 269*T1^6*T2^3 - 626*T1^7*T2^3 + 
     263*T1^8*T2^3 - 33*T1^9*T2^3 - 48*T2^4 + 119*T1*T2^4 + 1022*T1^2*T2^4 - 
     4623*T1^3*T2^4 + 5322*T1^4*T2^4 + 750*T1^5*T2^4 - 5670*T1^6*T2^4 + 
     4353*T1^7*T2^4 - 898*T1^8*T2^4 - 121*T1^9*T2^4 + 48*T1^10*T2^4 + 
     16*T2^5 + 64*T1*T2^5 - 1178*T1^2*T2^5 + 3153*T1^3*T2^5 + 750*T1^4*T2^5 - 
     12278*T1^5*T2^5 + 14794*T1^6*T2^5 - 5970*T1^7*T2^5 - 2223*T1^8*T2^5 + 
     1678*T1^9*T2^5 - 192*T1^10*T2^5 - 24*T1^11*T2^5 - 2*T2^6 - 48*T1*T2^6 + 
     470*T1^2*T2^6 - 269*T1^3*T2^6 - 5670*T1^4*T2^6 + 14794*T1^5*T2^6 - 
     7116*T1^6*T2^6 - 8166*T1^7*T2^6 + 12522*T1^8*T2^6 - 3539*T1^9*T2^6 - 
     282*T1^10*T2^6 + 160*T1^11*T2^6 + 4*T1^12*T2^6 + 8*T1*T2^7 - 
     64*T1^2*T2^7 - 626*T1^3*T2^7 + 4353*T1^4*T2^7 - 5970*T1^5*T2^7 - 
     8166*T1^6*T2^7 + 18906*T1^7*T2^7 - 12690*T1^8*T2^7 - 1023*T1^9*T2^7 + 
     2230*T1^10*T2^7 - 320*T1^11*T2^7 - 32*T1^12*T2^7 + 263*T1^3*T2^8 - 
     898*T1^4*T2^8 - 2223*T1^5*T2^8 + 12522*T1^6*T2^8 - 12690*T1^7*T2^8 + 
     1530*T1^8*T2^8 + 6753*T1^9*T2^8 - 2818*T1^10*T2^8 + 23*T1^11*T2^8 + 
     96*T1^12*T2^8 - 33*T1^3*T2^9 - 121*T1^4*T2^9 + 1678*T1^5*T2^9 - 
     3539*T1^6*T2^9 - 1023*T1^7*T2^9 + 6753*T1^8*T2^9 - 6317*T1^9*T2^9 + 
     1030*T1^10*T2^9 + 479*T1^11*T2^9 - 132*T1^12*T2^9 + 48*T1^4*T2^10 - 
     192*T1^5*T2^10 - 282*T1^6*T2^10 + 2230*T1^7*T2^10 - 2818*T1^8*T2^10 + 
     1030*T1^9*T2^10 + 822*T1^10*T2^10 - 576*T1^11*T2^10 + 96*T1^12*T2^10 - 
     24*T1^5*T2^11 + 160*T1^6*T2^11 - 320*T1^7*T2^11 + 23*T1^8*T2^11 + 
     479*T1^9*T2^11 - 576*T1^10*T2^11 + 232*T1^11*T2^11 - 32*T1^12*T2^11 + 
     4*T1^6*T2^12 - 32*T1^7*T2^12 + 96*T1^8*T2^12 - 132*T1^9*T2^12 + 
     96*T1^10*T2^12 - 32*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 506] -> 
  {(1 - 6*T + 14*T^2 - 17*T^3 + 14*T^4 - 6*T^5 + T^6)/T^3, 
   (-4 + 24*T1 - 56*T1^2 + 68*T1^3 - 56*T1^4 + 24*T1^5 - 4*T1^6 + 24*T2 - 
     124*T1*T2 + 222*T1^2*T2 - 154*T1^3*T2 + 32*T1^4*T2 + 102*T1^5*T2 - 
     82*T1^6*T2 + 18*T1^7*T2 - 56*T2^2 + 222*T1*T2^2 - 159*T1^2*T2^2 - 
     351*T1^3*T2^2 + 617*T1^4*T2^2 - 659*T1^5*T2^2 + 205*T1^6*T2^2 + 
     54*T1^7*T2^2 - 28*T1^8*T2^2 + 68*T2^3 - 154*T1*T2^3 - 351*T1^2*T2^3 + 
     1243*T1^3*T2^3 - 1065*T1^4*T2^3 + 519*T1^5*T2^3 + 481*T1^6*T2^3 - 
     477*T1^7*T2^3 + 68*T1^8*T2^3 + 17*T1^9*T2^3 - 56*T2^4 + 32*T1*T2^4 + 
     617*T1^2*T2^4 - 1065*T1^3*T2^4 - 131*T1^4*T2^4 + 1087*T1^5*T2^4 - 
     1647*T1^6*T2^4 + 635*T1^7*T2^4 + 177*T1^8*T2^4 - 100*T1^9*T2^4 + 
     24*T2^5 + 102*T1*T2^5 - 659*T1^2*T2^5 + 519*T1^3*T2^5 + 1087*T1^4*T2^5 - 
     1588*T1^5*T2^5 + 960*T1^6*T2^5 + 443*T1^7*T2^5 - 833*T1^8*T2^5 + 
     195*T1^9*T2^5 + 30*T1^10*T2^5 - 6*T1^11*T2^5 - 4*T2^6 - 82*T1*T2^6 + 
     205*T1^2*T2^6 + 481*T1^3*T2^6 - 1647*T1^4*T2^6 + 960*T1^5*T2^6 + 
     732*T1^6*T2^6 - 1516*T1^7*T2^6 + 1085*T1^8*T2^6 + 43*T1^9*T2^6 - 
     183*T1^10*T2^6 + 26*T1^11*T2^6 + 2*T1^12*T2^6 + 18*T1*T2^7 + 
     54*T1^2*T2^7 - 477*T1^3*T2^7 + 635*T1^4*T2^7 + 443*T1^5*T2^7 - 
     1516*T1^6*T2^7 + 1032*T1^7*T2^7 - 201*T1^8*T2^7 - 717*T1^9*T2^7 + 
     377*T1^10*T2^7 - 18*T1^11*T2^7 - 12*T1^12*T2^7 - 28*T1^2*T2^8 + 
     68*T1^3*T2^8 + 177*T1^4*T2^8 - 833*T1^5*T2^8 + 1085*T1^6*T2^8 - 
     201*T1^7*T2^8 - 431*T1^8*T2^8 + 867*T1^9*T2^8 - 263*T1^10*T2^8 - 
     64*T1^11*T2^8 + 28*T1^12*T2^8 + 17*T1^3*T2^9 - 100*T1^4*T2^9 + 
     195*T1^5*T2^9 + 43*T1^6*T2^9 - 717*T1^7*T2^9 + 867*T1^8*T2^9 - 
     719*T1^9*T2^9 + 69*T1^10*T2^9 + 122*T1^11*T2^9 - 34*T1^12*T2^9 + 
     30*T1^5*T2^10 - 183*T1^6*T2^10 + 377*T1^7*T2^10 - 263*T1^8*T2^10 + 
     69*T1^9*T2^10 + 181*T1^10*T2^10 - 138*T1^11*T2^10 + 28*T1^12*T2^10 - 
     6*T1^5*T2^11 + 26*T1^6*T2^11 - 18*T1^7*T2^11 - 64*T1^8*T2^11 + 
     122*T1^9*T2^11 - 138*T1^10*T2^11 + 68*T1^11*T2^11 - 12*T1^12*T2^11 + 
     2*T1^6*T2^12 - 12*T1^7*T2^12 + 28*T1^8*T2^12 - 34*T1^9*T2^12 + 
     28*T1^10*T2^12 - 12*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 507] -> 
  {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-2 + 8*T1 - 10*T1^2 + 8*T1^3 - 2*T1^4 + 8*T2 - 29*T1*T2 + 36*T1^2*T2 - 
      27*T1^3*T2 + 6*T1^4*T2 + T1^5*T2 - 10*T2^2 + 36*T1*T2^2 - 
      40*T1^2*T2^2 + 11*T1^3*T2^2 + 20*T1^4*T2^2 - 24*T1^5*T2^2 + 
      5*T1^6*T2^2 + 8*T2^3 - 27*T1*T2^3 + 11*T1^2*T2^3 + 60*T1^3*T2^3 - 
      80*T1^4*T2^3 + 51*T1^5*T2^3 + 16*T1^6*T2^3 - 9*T1^7*T2^3 - 2*T2^4 + 
      6*T1*T2^4 + 20*T1^2*T2^4 - 80*T1^3*T2^4 + 12*T1^4*T2^4 + 56*T1^5*T2^4 - 
      110*T1^6*T2^4 + 22*T1^7*T2^4 + 4*T1^8*T2^4 + T1*T2^5 - 24*T1^2*T2^5 + 
      51*T1^3*T2^5 + 56*T1^4*T2^5 - 84*T1^5*T2^5 + 91*T1^6*T2^5 + 
      19*T1^7*T2^5 - 16*T1^8*T2^5 + 5*T1^2*T2^6 + 16*T1^3*T2^6 - 
      110*T1^4*T2^6 + 91*T1^5*T2^6 - 50*T1^6*T2^6 - 44*T1^7*T2^6 + 
      20*T1^8*T2^6 - 9*T1^3*T2^7 + 22*T1^4*T2^7 + 19*T1^5*T2^7 - 
      44*T1^6*T2^7 + 57*T1^7*T2^7 - 16*T1^8*T2^7 + 4*T1^4*T2^8 - 
      16*T1^5*T2^8 + 20*T1^6*T2^8 - 16*T1^7*T2^8 + 4*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 508] -> 
  {(1 - T + T^2)^4/T^4, (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*
     (1 - T1*T2 + T1^2*T2^2)*(-3 + 9*T1 - 18*T1^2 + 21*T1^3 - 18*T1^4 + 
      9*T1^5 - 3*T1^6 + 9*T2 - 20*T1*T2 + 33*T1^2*T2 - 21*T1^3*T2 + 
      5*T1^4*T2 + 15*T1^5*T2 - 12*T1^6*T2 + 7*T1^7*T2 - 18*T2^2 + 
      33*T1*T2^2 - 54*T1^2*T2^2 + 26*T1^3*T2^2 - 14*T1^4*T2^2 - 6*T1^5*T2^2 - 
      14*T1^6*T2^2 + 9*T1^7*T2^2 - 10*T1^8*T2^2 + 21*T2^3 - 21*T1*T2^3 + 
      26*T1^2*T2^3 + 30*T1^3*T2^3 - 17*T1^4*T2^3 + 13*T1^5*T2^3 + 
      34*T1^6*T2^3 - 10*T1^7*T2^3 + 9*T1^8*T2^3 + 7*T1^9*T2^3 - 18*T2^4 + 
      5*T1*T2^4 - 14*T1^2*T2^4 - 17*T1^3*T2^4 - 56*T1^4*T2^4 + 72*T1^5*T2^4 - 
      88*T1^6*T2^4 + 11*T1^7*T2^4 - 2*T1^8*T2^4 - 15*T1^9*T2^4 - 
      2*T1^10*T2^4 + 9*T2^5 + 15*T1*T2^5 - 6*T1^2*T2^5 + 13*T1^3*T2^5 + 
      72*T1^4*T2^5 - 56*T1^5*T2^5 + 24*T1^6*T2^5 + 48*T1^7*T2^5 - 
      21*T1^8*T2^5 + 14*T1^9*T2^5 + 9*T1^10*T2^5 - T1^11*T2^5 - 3*T2^6 - 
      12*T1*T2^6 - 14*T1^2*T2^6 + 34*T1^3*T2^6 - 88*T1^4*T2^6 + 
      24*T1^5*T2^6 + 36*T1^6*T2^6 - 60*T1^7*T2^6 + 8*T1^8*T2^6 + 
      6*T1^9*T2^6 - 14*T1^10*T2^6 + T1^12*T2^6 + 7*T1*T2^7 + 9*T1^2*T2^7 - 
      10*T1^3*T2^7 + 11*T1^4*T2^7 + 48*T1^5*T2^7 - 60*T1^6*T2^7 + 
      20*T1^7*T2^7 + 24*T1^8*T2^7 - 23*T1^9*T2^7 + 10*T1^10*T2^7 + 
      3*T1^11*T2^7 - 3*T1^12*T2^7 - 10*T1^2*T2^8 + 9*T1^3*T2^8 - 
      2*T1^4*T2^8 - 21*T1^5*T2^8 + 8*T1^6*T2^8 + 24*T1^7*T2^8 - 
      24*T1^8*T2^8 + 7*T1^9*T2^8 + 10*T1^10*T2^8 - 11*T1^11*T2^8 + 
      6*T1^12*T2^8 + 7*T1^3*T2^9 - 15*T1^4*T2^9 + 14*T1^5*T2^9 + 
      6*T1^6*T2^9 - 23*T1^7*T2^9 + 7*T1^8*T2^9 + 10*T1^9*T2^9 - 
      22*T1^10*T2^9 + 15*T1^11*T2^9 - 7*T1^12*T2^9 - 2*T1^4*T2^10 + 
      9*T1^5*T2^10 - 14*T1^6*T2^10 + 10*T1^7*T2^10 + 10*T1^8*T2^10 - 
      22*T1^9*T2^10 + 26*T1^10*T2^10 - 15*T1^11*T2^10 + 6*T1^12*T2^10 - 
      T1^5*T2^11 + 3*T1^7*T2^11 - 11*T1^8*T2^11 + 15*T1^9*T2^11 - 
      15*T1^10*T2^11 + 8*T1^11*T2^11 - 3*T1^12*T2^11 + T1^6*T2^12 - 
      3*T1^7*T2^12 + 6*T1^8*T2^12 - 7*T1^9*T2^12 + 6*T1^10*T2^12 - 
      3*T1^11*T2^12 + T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 509] -> 
  {(1 - 5*T + 8*T^2 - 7*T^3 + 7*T^4 - 7*T^5 + 8*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 48*T1^2 + 42*T1^3 - 42*T1^4 + 42*T1^5 - 48*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 115*T1^2*T2 - 10*T1^3*T2 + 35*T1^4*T2 - 
     35*T1^5*T2 + 65*T1^6*T2 + 50*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     48*T2^2 + 115*T1*T2^2 + 207*T1^2*T2^2 - 498*T1^3*T2^2 + 275*T1^4*T2^2 - 
     305*T1^5*T2^2 + 259*T1^6*T2^2 - 530*T1^7*T2^2 + 319*T1^8*T2^2 + 
     35*T1^9*T2^2 - 32*T1^10*T2^2 + 42*T2^3 - 10*T1*T2^3 - 498*T1^2*T2^3 + 
     519*T1^3*T2^3 + 73*T1^4*T2^3 + 143*T1^5*T2^3 - 102*T1^6*T2^3 + 
     421*T1^7*T2^3 + 167*T1^8*T2^3 - 426*T1^9*T2^3 + 55*T1^10*T2^3 + 
     21*T1^11*T2^3 - 42*T2^4 + 35*T1*T2^4 + 275*T1^2*T2^4 + 73*T1^3*T2^4 - 
     636*T1^4*T2^4 + 164*T1^5*T2^4 - 288*T1^6*T2^4 + 38*T1^7*T2^4 - 
     608*T1^8*T2^4 + 367*T1^9*T2^4 + 149*T1^10*T2^4 - 35*T1^11*T2^4 - 
     14*T1^12*T2^4 + 42*T2^5 - 35*T1*T2^5 - 305*T1^2*T2^5 + 143*T1^3*T2^5 + 
     164*T1^4*T2^5 + 290*T1^5*T2^5 - 53*T1^6*T2^5 + 283*T1^7*T2^5 + 
     150*T1^8*T2^5 + 31*T1^9*T2^5 - 116*T1^10*T2^5 - 116*T1^11*T2^5 + 
     35*T1^12*T2^5 + 7*T1^13*T2^5 - 48*T2^6 + 65*T1*T2^6 + 259*T1^2*T2^6 - 
     102*T1^3*T2^6 - 288*T1^4*T2^6 - 53*T1^5*T2^6 - 221*T1^6*T2^6 - 
     3*T1^7*T2^6 - 277*T1^8*T2^6 + 227*T1^9*T2^6 - 148*T1^10*T2^6 + 
     122*T1^11*T2^6 + 55*T1^12*T2^6 - 35*T1^13*T2^6 + 30*T2^7 + 50*T1*T2^7 - 
     530*T1^2*T2^7 + 421*T1^3*T2^7 + 38*T1^4*T2^7 + 283*T1^5*T2^7 - 
     3*T1^6*T2^7 + 338*T1^7*T2^7 - 218*T1^8*T2^7 + 36*T1^9*T2^7 - 
     165*T1^10*T2^7 + 143*T1^11*T2^7 - 143*T1^12*T2^7 + 22*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 319*T1^2*T2^8 + 
     167*T1^3*T2^8 - 608*T1^4*T2^8 + 150*T1^5*T2^8 - 277*T1^6*T2^8 - 
     218*T1^7*T2^8 + 120*T1^8*T2^8 + 182*T1^9*T2^8 + 77*T1^10*T2^8 + 
     38*T1^11*T2^8 - 44*T1^12*T2^8 + 129*T1^13*T2^8 - 111*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 35*T1^2*T2^9 - 
     426*T1^3*T2^9 + 367*T1^4*T2^9 + 31*T1^5*T2^9 + 227*T1^6*T2^9 + 
     36*T1^7*T2^9 + 182*T1^8*T2^9 - 374*T1^9*T2^9 + 75*T1^10*T2^9 - 
     221*T1^11*T2^9 + 136*T1^12*T2^9 - 197*T1^13*T2^9 + 126*T1^14*T2^9 + 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 32*T1^2*T2^10 + 55*T1^3*T2^10 + 
     149*T1^4*T2^10 - 116*T1^5*T2^10 - 148*T1^6*T2^10 - 165*T1^7*T2^10 + 
     77*T1^8*T2^10 + 75*T1^9*T2^10 + 21*T1^10*T2^10 + 115*T1^11*T2^10 - 
     8*T1^12*T2^10 + 108*T1^13*T2^10 - 55*T1^14*T2^10 - 45*T1^15*T2^10 + 
     16*T1^16*T2^10 + 21*T1^3*T2^11 - 35*T1^4*T2^11 - 116*T1^5*T2^11 + 
     122*T1^6*T2^11 + 143*T1^7*T2^11 + 38*T1^8*T2^11 - 221*T1^9*T2^11 + 
     115*T1^10*T2^11 - 102*T1^11*T2^11 + 10*T1^12*T2^11 - 137*T1^13*T2^11 + 
     73*T1^14*T2^11 + 35*T1^15*T2^11 - 14*T1^16*T2^11 - 14*T1^4*T2^12 + 
     35*T1^5*T2^12 + 55*T1^6*T2^12 - 143*T1^7*T2^12 - 44*T1^8*T2^12 + 
     136*T1^9*T2^12 - 8*T1^10*T2^12 + 10*T1^11*T2^12 - 16*T1^12*T2^12 + 
     151*T1^13*T2^12 - 71*T1^14*T2^12 - 35*T1^15*T2^12 + 14*T1^16*T2^12 + 
     7*T1^5*T2^13 - 35*T1^6*T2^13 + 22*T1^7*T2^13 + 129*T1^8*T2^13 - 
     197*T1^9*T2^13 + 108*T1^10*T2^13 - 137*T1^11*T2^13 + 151*T1^12*T2^13 - 
     223*T1^13*T2^13 + 94*T1^14*T2^13 + 30*T1^15*T2^13 - 14*T1^16*T2^13 + 
     25*T1^7*T2^14 - 111*T1^8*T2^14 + 126*T1^9*T2^14 - 55*T1^10*T2^14 + 
     73*T1^11*T2^14 - 71*T1^12*T2^14 + 94*T1^13*T2^14 + T1^14*T2^14 - 
     55*T1^15*T2^14 + 16*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 + 
     10*T1^9*T2^15 - 45*T1^10*T2^15 + 35*T1^11*T2^15 - 35*T1^12*T2^15 + 
     30*T1^13*T2^15 - 55*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 16*T1^10*T2^16 - 14*T1^11*T2^16 + 
     14*T1^12*T2^16 - 14*T1^13*T2^16 + 16*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 510] -> 
  {-((1 - 11*T + 29*T^2 - 39*T^3 + 29*T^4 - 11*T^5 + T^6)/T^3), 
   -((-1 + 11*T1 - 29*T1^2 + 39*T1^3 - 29*T1^4 + 11*T1^5 - T1^6 + 11*T2 - 
      111*T1*T2 + 311*T1^2*T2 - 427*T1^3*T2 + 321*T1^4*T2 - 129*T1^5*T2 + 
      21*T1^6*T2 - 29*T2^2 + 311*T1*T2^2 - 964*T1^2*T2^2 + 1132*T1^3*T2^2 - 
      392*T1^4*T2^2 - 492*T1^5*T2^2 + 660*T1^6*T2^2 - 327*T1^7*T2^2 + 
      29*T1^8*T2^2 + 39*T2^3 - 427*T1*T2^3 + 1132*T1^2*T2^3 + 
      1536*T1^3*T2^3 - 7086*T1^4*T2^3 + 9926*T1^5*T2^3 - 6544*T1^6*T2^3 + 
      1567*T1^7*T2^3 + 541*T1^8*T2^3 - 78*T1^9*T2^3 - 29*T2^4 + 321*T1*T2^4 - 
      392*T1^2*T2^4 - 7086*T1^3*T2^4 + 14457*T1^4*T2^4 - 9131*T1^5*T2^4 - 
      6319*T1^6*T2^4 + 12414*T1^7*T2^4 - 6466*T1^8*T2^4 - 97*T1^9*T2^4 + 
      87*T1^10*T2^4 + 11*T2^5 - 129*T1*T2^5 - 492*T1^2*T2^5 + 
      9926*T1^3*T2^5 - 9131*T1^4*T2^5 - 10713*T1^5*T2^5 + 28575*T1^6*T2^5 - 
      17686*T1^7*T2^5 - 2110*T1^8*T2^5 + 7309*T1^9*T2^5 - 481*T1^10*T2^5 - 
      44*T1^11*T2^5 - T2^6 + 21*T1*T2^6 + 660*T1^2*T2^6 - 6544*T1^3*T2^6 - 
      6319*T1^4*T2^6 + 28575*T1^5*T2^6 - 27420*T1^6*T2^6 - 5035*T1^7*T2^6 + 
      22075*T1^8*T2^6 - 11244*T1^9*T2^6 - 2808*T1^10*T2^6 + 439*T1^11*T2^6 + 
      5*T1^12*T2^6 - 327*T1^2*T2^7 + 1567*T1^3*T2^7 + 12414*T1^4*T2^7 - 
      17686*T1^5*T2^7 - 5035*T1^6*T2^7 + 34253*T1^7*T2^7 - 26241*T1^8*T2^7 + 
      378*T1^9*T2^7 + 9368*T1^10*T2^7 - 679*T1^11*T2^7 - 55*T1^12*T2^7 + 
      29*T1^2*T2^8 + 541*T1^3*T2^8 - 6466*T1^4*T2^8 - 2110*T1^5*T2^8 + 
      22075*T1^6*T2^8 - 26241*T1^7*T2^8 + 1299*T1^8*T2^8 + 17390*T1^9*T2^8 - 
      12540*T1^10*T2^8 + 123*T1^11*T2^8 + 145*T1^12*T2^8 - 78*T1^3*T2^9 - 
      97*T1^4*T2^9 + 7309*T1^5*T2^9 - 11244*T1^6*T2^9 + 378*T1^7*T2^9 + 
      17390*T1^8*T2^9 - 19324*T1^9*T2^9 + 7744*T1^10*T2^9 + 871*T1^11*T2^9 - 
      195*T1^12*T2^9 + 87*T1^4*T2^10 - 481*T1^5*T2^10 - 2808*T1^6*T2^10 + 
      9368*T1^7*T2^10 - 12540*T1^8*T2^10 + 7744*T1^9*T2^10 - 
      1184*T1^10*T2^10 - 1119*T1^11*T2^10 + 145*T1^12*T2^10 - 44*T1^5*T2^11 + 
      439*T1^6*T2^11 - 679*T1^7*T2^11 + 123*T1^8*T2^11 + 871*T1^9*T2^11 - 
      1119*T1^10*T2^11 + 571*T1^11*T2^11 - 55*T1^12*T2^11 + 5*T1^6*T2^12 - 
      55*T1^7*T2^12 + 145*T1^8*T2^12 - 195*T1^9*T2^12 + 145*T1^10*T2^12 - 
      55*T1^11*T2^12 + 5*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 511] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 111*T1 - 233*T1^2 + 307*T1^3 - 233*T1^4 + 111*T1^5 - 25*T1^6 + 
      111*T2 - 422*T1*T2 + 713*T1^2*T2 - 673*T1^3*T2 + 119*T1^4*T2 + 
      209*T1^5*T2 - 224*T1^6*T2 + 75*T1^7*T2 - 233*T2^2 + 713*T1*T2^2 - 
      786*T1^2*T2^2 + 73*T1^3*T2^2 + 1222*T1^4*T2^2 - 1143*T1^5*T2^2 + 
      506*T1^6*T2^2 + 29*T1^7*T2^2 - 81*T1^8*T2^2 + 307*T2^3 - 673*T1*T2^3 + 
      73*T1^2*T2^3 + 1343*T1^3*T2^3 - 2500*T1^4*T2^3 + 824*T1^5*T2^3 + 
      605*T1^6*T2^3 - 896*T1^7*T2^3 + 335*T1^8*T2^3 + 7*T1^9*T2^3 - 
      233*T2^4 + 119*T1*T2^4 + 1222*T1^2*T2^4 - 2500*T1^3*T2^4 + 
      1987*T1^4*T2^4 + 1545*T1^5*T2^4 - 2629*T1^6*T2^4 + 1350*T1^7*T2^4 + 
      60*T1^8*T2^4 - 349*T1^9*T2^4 + 71*T1^10*T2^4 + 111*T2^5 + 209*T1*T2^5 - 
      1143*T1^2*T2^5 + 824*T1^3*T2^5 + 1545*T1^4*T2^5 - 4494*T1^5*T2^5 + 
      3032*T1^6*T2^5 + 386*T1^7*T2^5 - 1448*T1^8*T2^5 + 814*T1^9*T2^5 - 
      7*T1^10*T2^5 - 69*T1^11*T2^5 - 25*T2^6 - 224*T1*T2^6 + 506*T1^2*T2^6 + 
      605*T1^3*T2^6 - 2629*T1^4*T2^6 + 3032*T1^5*T2^6 + 72*T1^6*T2^6 - 
      3228*T1^7*T2^6 + 2001*T1^8*T2^6 - 337*T1^9*T2^6 - 510*T1^10*T2^6 + 
      208*T1^11*T2^6 + 23*T1^12*T2^6 + 75*T1*T2^7 + 29*T1^2*T2^7 - 
      896*T1^3*T2^7 + 1350*T1^4*T2^7 + 386*T1^5*T2^7 - 3228*T1^6*T2^7 + 
      4298*T1^7*T2^7 - 773*T1^8*T2^7 - 922*T1^9*T2^7 + 1061*T1^10*T2^7 - 
      187*T1^11*T2^7 - 105*T1^12*T2^7 - 81*T1^2*T2^8 + 335*T1^3*T2^8 + 
      60*T1^4*T2^8 - 1448*T1^5*T2^8 + 2001*T1^6*T2^8 - 773*T1^7*T2^8 - 
      2615*T1^8*T2^8 + 2402*T1^9*T2^8 - 1102*T1^10*T2^8 - 133*T1^11*T2^8 + 
      223*T1^12*T2^8 + 7*T1^3*T2^9 - 349*T1^4*T2^9 + 814*T1^5*T2^9 - 
      337*T1^6*T2^9 - 922*T1^7*T2^9 + 2402*T1^8*T2^9 - 1075*T1^9*T2^9 - 
      155*T1^10*T2^9 + 659*T1^11*T2^9 - 293*T1^12*T2^9 + 71*T1^4*T2^10 - 
      7*T1^5*T2^10 - 510*T1^6*T2^10 + 1061*T1^7*T2^10 - 1102*T1^8*T2^10 - 
      155*T1^9*T2^10 + 782*T1^10*T2^10 - 691*T1^11*T2^10 + 223*T1^12*T2^10 - 
      69*T1^5*T2^11 + 208*T1^6*T2^11 - 187*T1^7*T2^11 - 133*T1^8*T2^11 + 
      659*T1^9*T2^11 - 691*T1^10*T2^11 + 406*T1^11*T2^11 - 105*T1^12*T2^11 + 
      23*T1^6*T2^12 - 105*T1^7*T2^12 + 223*T1^8*T2^12 - 293*T1^9*T2^12 + 
      223*T1^10*T2^12 - 105*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 512] -> 
  {(2 - 7*T + 15*T^2 - 19*T^3 + 15*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-15 + 53*T1 - 114*T1^2 + 145*T1^3 - 114*T1^4 + 53*T1^5 - 15*T1^6 + 
     53*T2 - 162*T1*T2 + 313*T1^2*T2 - 319*T1^3*T2 + 157*T1^4*T2 + 
     5*T1^5*T2 - 36*T1^6*T2 + 25*T1^7*T2 - 114*T2^2 + 313*T1*T2^2 - 
     494*T1^2*T2^2 + 266*T1^3*T2^2 + 226*T1^4*T2^2 - 454*T1^5*T2^2 + 
     286*T1^6*T2^2 - 107*T1^7*T2^2 + 6*T1^8*T2^2 + 145*T2^3 - 319*T1*T2^3 + 
     266*T1^2*T2^3 + 273*T1^3*T2^3 - 736*T1^4*T2^3 + 326*T1^5*T2^3 + 
     357*T1^6*T2^3 - 499*T1^7*T2^3 + 269*T1^8*T2^3 - 83*T1^9*T2^3 - 
     114*T2^4 + 157*T1*T2^4 + 226*T1^2*T2^4 - 736*T1^3*T2^4 + 788*T1^4*T2^4 + 
     300*T1^5*T2^4 - 844*T1^6*T2^4 + 442*T1^7*T2^4 + 164*T1^8*T2^4 - 
     151*T1^9*T2^4 + 126*T1^10*T2^4 + 53*T2^5 + 5*T1*T2^5 - 454*T1^2*T2^5 + 
     326*T1^3*T2^5 + 300*T1^4*T2^5 - 1814*T1^5*T2^5 + 1576*T1^6*T2^5 - 
     405*T1^7*T2^5 - 504*T1^8*T2^5 + 131*T1^9*T2^5 - 135*T1^10*T2^5 - 
     87*T1^11*T2^5 - 15*T2^6 - 36*T1*T2^6 + 286*T1^2*T2^6 + 357*T1^3*T2^6 - 
     844*T1^4*T2^6 + 1576*T1^5*T2^6 + 24*T1^6*T2^6 - 1444*T1^7*T2^6 + 
     1642*T1^8*T2^6 - 309*T1^9*T2^6 + 174*T1^10*T2^6 + 188*T1^11*T2^6 + 
     33*T1^12*T2^6 + 25*T1*T2^7 - 107*T1^2*T2^7 - 499*T1^3*T2^7 + 
     442*T1^4*T2^7 - 405*T1^5*T2^7 - 1444*T1^6*T2^7 + 1946*T1^7*T2^7 - 
     1110*T1^8*T2^7 - 388*T1^9*T2^7 + 86*T1^10*T2^7 - 247*T1^11*T2^7 - 
     115*T1^12*T2^7 + 6*T1^2*T2^8 + 269*T1^3*T2^8 + 164*T1^4*T2^8 - 
     504*T1^5*T2^8 + 1642*T1^6*T2^8 - 1110*T1^7*T2^8 + 10*T1^8*T2^8 + 
     674*T1^9*T2^8 + 102*T1^10*T2^8 - 39*T1^11*T2^8 + 246*T1^12*T2^8 - 
     83*T1^3*T2^9 - 151*T1^4*T2^9 + 131*T1^5*T2^9 - 309*T1^6*T2^9 - 
     388*T1^7*T2^9 + 674*T1^8*T2^9 - 225*T1^9*T2^9 - 634*T1^10*T2^9 + 
     437*T1^11*T2^9 - 311*T1^12*T2^9 + 126*T1^4*T2^10 - 135*T1^5*T2^10 + 
     174*T1^6*T2^10 + 86*T1^7*T2^10 + 102*T1^8*T2^10 - 634*T1^9*T2^10 + 
     954*T1^10*T2^10 - 555*T1^11*T2^10 + 246*T1^12*T2^10 - 87*T1^5*T2^11 + 
     188*T1^6*T2^11 - 247*T1^7*T2^11 - 39*T1^8*T2^11 + 437*T1^9*T2^11 - 
     555*T1^10*T2^11 + 314*T1^11*T2^11 - 115*T1^12*T2^11 + 33*T1^6*T2^12 - 
     115*T1^7*T2^12 + 246*T1^8*T2^12 - 311*T1^9*T2^12 + 246*T1^10*T2^12 - 
     115*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 513] -> 
  {-((2 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-41 + 265*T1 - 587*T1^2 + 747*T1^3 - 587*T1^4 + 265*T1^5 - 41*T1^6 + 
      265*T2 - 1508*T1*T2 + 2423*T1^2*T2 - 1789*T1^3*T2 - 73*T1^4*T2 + 
      1331*T1^5*T2 - 1118*T1^6*T2 + 213*T1^7*T2 - 587*T2^2 + 2423*T1*T2^2 + 
      252*T1^2*T2^2 - 6943*T1^3*T2^2 + 11900*T1^4*T2^2 - 9727*T1^5*T2^2 + 
      3384*T1^6*T2^2 + 915*T1^7*T2^2 - 355*T1^8*T2^2 + 747*T2^3 - 
      1789*T1*T2^3 - 6943*T1^2*T2^3 + 15827*T1^3*T2^3 - 14235*T1^4*T2^3 + 
      1323*T1^5*T2^3 + 8651*T1^6*T2^3 - 7726*T1^7*T2^3 + 343*T1^8*T2^3 + 
      303*T1^9*T2^3 - 587*T2^4 - 73*T1*T2^4 + 11900*T1^2*T2^4 - 
      14235*T1^3*T2^4 + 2052*T1^4*T2^4 + 14100*T1^5*T2^4 - 14772*T1^6*T2^4 + 
      3155*T1^7*T2^4 + 6122*T1^8*T2^4 - 1165*T1^9*T2^4 - 123*T1^10*T2^4 + 
      265*T2^5 + 1331*T1*T2^5 - 9727*T1^2*T2^5 + 1323*T1^3*T2^5 + 
      14100*T1^4*T2^5 - 19694*T1^5*T2^5 + 5572*T1^6*T2^5 + 9373*T1^7*T2^5 - 
      10571*T1^8*T2^5 - 940*T1^9*T2^5 + 759*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 1118*T1*T2^6 + 3384*T1^2*T2^6 + 8651*T1^3*T2^6 - 
      14772*T1^4*T2^6 + 5572*T1^5*T2^6 + 12456*T1^6*T2^6 - 16856*T1^7*T2^6 + 
      6326*T1^8*T2^6 + 5501*T1^9*T2^6 - 1344*T1^10*T2^6 - 78*T1^11*T2^6 + 
      7*T1^12*T2^6 + 213*T1*T2^7 + 915*T1^2*T2^7 - 7726*T1^3*T2^7 + 
      3155*T1^4*T2^7 + 9373*T1^5*T2^7 - 16856*T1^6*T2^7 + 8410*T1^7*T2^7 + 
      4646*T1^8*T2^7 - 8739*T1^9*T2^7 + 1061*T1^10*T2^7 + 343*T1^11*T2^7 - 
      47*T1^12*T2^7 - 355*T1^2*T2^8 + 343*T1^3*T2^8 + 6122*T1^4*T2^8 - 
      10571*T1^5*T2^8 + 6326*T1^6*T2^8 + 4646*T1^7*T2^8 - 10498*T1^8*T2^8 + 
      6819*T1^9*T2^8 + 344*T1^10*T2^8 - 749*T1^11*T2^8 + 109*T1^12*T2^8 + 
      303*T1^3*T2^9 - 1165*T1^4*T2^9 - 940*T1^5*T2^9 + 5501*T1^6*T2^9 - 
      8739*T1^7*T2^9 + 6819*T1^8*T2^9 - 1675*T1^9*T2^9 - 1723*T1^10*T2^9 + 
      967*T1^11*T2^9 - 141*T1^12*T2^9 - 123*T1^4*T2^10 + 759*T1^5*T2^10 - 
      1344*T1^6*T2^10 + 1061*T1^7*T2^10 + 344*T1^8*T2^10 - 1723*T1^9*T2^10 + 
      1788*T1^10*T2^10 - 749*T1^11*T2^10 + 109*T1^12*T2^10 + 5*T1^5*T2^11 - 
      78*T1^6*T2^11 + 343*T1^7*T2^11 - 749*T1^8*T2^11 + 967*T1^9*T2^11 - 
      749*T1^10*T2^11 + 312*T1^11*T2^11 - 47*T1^12*T2^11 + 7*T1^6*T2^12 - 
      47*T1^7*T2^12 + 109*T1^8*T2^12 - 141*T1^9*T2^12 + 109*T1^10*T2^12 - 
      47*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 514] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   (-2 + 6*T1 - 16*T1^2 + 22*T1^3 - 16*T1^4 + 6*T1^5 - 2*T1^6 + 6*T2 - 
     15*T1*T2 + 39*T1^2*T2 - 42*T1^3*T2 + 15*T1^4*T2 + 6*T1^5*T2 - 
     3*T1^6*T2 + 3*T1^7*T2 - 16*T2^2 + 39*T1*T2^2 - 76*T1^2*T2^2 + 
     53*T1^3*T2^2 + 34*T1^4*T2^2 - 75*T1^5*T2^2 + 36*T1^6*T2^2 - 
     9*T1^7*T2^2 + 22*T2^3 - 42*T1*T2^3 + 53*T1^2*T2^3 - 13*T1^3*T2^3 - 
     77*T1^4*T2^3 + 16*T1^5*T2^3 + 119*T1^6*T2^3 - 115*T1^7*T2^3 + 
     33*T1^8*T2^3 - 11*T1^9*T2^3 - 16*T2^4 + 15*T1*T2^4 + 34*T1^2*T2^4 - 
     77*T1^3*T2^4 + 191*T1^4*T2^4 - 37*T1^5*T2^4 - 113*T1^6*T2^4 + 
     33*T1^7*T2^4 + 92*T1^8*T2^4 - 15*T1^9*T2^4 + 16*T1^10*T2^4 + 6*T2^5 + 
     6*T1*T2^5 - 75*T1^2*T2^5 + 16*T1^3*T2^5 - 37*T1^4*T2^5 - 387*T1^5*T2^5 + 
     553*T1^6*T2^5 - 261*T1^7*T2^5 - 43*T1^8*T2^5 - 67*T1^9*T2^5 - 
     21*T1^10*T2^5 - 9*T1^11*T2^5 - 2*T2^6 - 3*T1*T2^6 + 36*T1^2*T2^6 + 
     119*T1^3*T2^6 - 113*T1^4*T2^6 + 553*T1^5*T2^6 - 360*T1^6*T2^6 - 
     237*T1^7*T2^6 + 435*T1^8*T2^6 - 43*T1^9*T2^6 + 104*T1^10*T2^6 + 
     15*T1^11*T2^6 + 4*T1^12*T2^6 + 3*T1*T2^7 - 9*T1^2*T2^7 - 115*T1^3*T2^7 + 
     33*T1^4*T2^7 - 261*T1^5*T2^7 - 237*T1^6*T2^7 + 703*T1^7*T2^7 - 
     485*T1^8*T2^7 - 26*T1^9*T2^7 - 107*T1^10*T2^7 - 36*T1^11*T2^7 - 
     12*T1^12*T2^7 + 33*T1^3*T2^8 + 92*T1^4*T2^8 - 43*T1^5*T2^8 + 
     435*T1^6*T2^8 - 485*T1^7*T2^8 + 131*T1^8*T2^8 + 67*T1^9*T2^8 + 
     150*T1^10*T2^8 + 3*T1^11*T2^8 + 32*T1^12*T2^8 - 11*T1^3*T2^9 - 
     15*T1^4*T2^9 - 67*T1^5*T2^9 - 43*T1^6*T2^9 - 26*T1^7*T2^9 + 
     67*T1^8*T2^9 + 89*T1^9*T2^9 - 235*T1^10*T2^9 + 60*T1^11*T2^9 - 
     44*T1^12*T2^9 + 16*T1^4*T2^10 - 21*T1^5*T2^10 + 104*T1^6*T2^10 - 
     107*T1^7*T2^10 + 150*T1^8*T2^10 - 235*T1^9*T2^10 + 216*T1^10*T2^10 - 
     69*T1^11*T2^10 + 32*T1^12*T2^10 - 9*T1^5*T2^11 + 15*T1^6*T2^11 - 
     36*T1^7*T2^11 + 3*T1^8*T2^11 + 60*T1^9*T2^11 - 69*T1^10*T2^11 + 
     27*T1^11*T2^11 - 12*T1^12*T2^11 + 4*T1^6*T2^12 - 12*T1^7*T2^12 + 
     32*T1^8*T2^12 - 44*T1^9*T2^12 + 32*T1^10*T2^12 - 12*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 515] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 204*T1 - 406*T1^2 + 507*T1^3 - 406*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 852*T1*T2 + 1209*T1^2*T2 - 905*T1^3*T2 - 5*T1^4*T2 + 
      609*T1^5*T2 - 612*T1^6*T2 + 164*T1^7*T2 - 406*T2^2 + 1209*T1*T2^2 - 
      251*T1^2*T2^2 - 1775*T1^3*T2^2 + 3575*T1^4*T2^2 - 2975*T1^5*T2^2 + 
      1189*T1^6*T2^2 + 409*T1^7*T2^2 - 246*T1^8*T2^2 + 507*T2^3 - 
      905*T1*T2^3 - 1775*T1^2*T2^3 + 3968*T1^3*T2^3 - 4015*T1^4*T2^3 + 
      485*T1^5*T2^3 + 2018*T1^6*T2^3 - 2375*T1^7*T2^3 + 195*T1^8*T2^3 + 
      207*T1^9*T2^3 - 406*T2^4 - 5*T1*T2^4 + 3575*T1^2*T2^4 - 
      4015*T1^3*T2^4 + 1612*T1^4*T2^4 + 2856*T1^5*T2^4 - 3008*T1^6*T2^4 + 
      985*T1^7*T2^4 + 1775*T1^8*T2^4 - 605*T1^9*T2^4 - 86*T1^10*T2^4 + 
      204*T2^5 + 609*T1*T2^5 - 2975*T1^2*T2^5 + 485*T1^3*T2^5 + 
      2856*T1^4*T2^5 - 4716*T1^5*T2^5 + 984*T1^6*T2^5 + 2056*T1^7*T2^5 - 
      3015*T1^8*T2^5 + 25*T1^9*T2^5 + 409*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 612*T1*T2^6 + 1189*T1^2*T2^6 + 2018*T1^3*T2^6 - 
      3008*T1^4*T2^6 + 984*T1^5*T2^6 + 3624*T1^6*T2^6 - 4056*T1^7*T2^6 + 
      1872*T1^8*T2^6 + 1418*T1^9*T2^6 - 731*T1^10*T2^6 - 52*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 409*T1^2*T2^7 - 2375*T1^3*T2^7 + 
      985*T1^4*T2^7 + 2056*T1^5*T2^7 - 4056*T1^6*T2^7 + 1644*T1^7*T2^7 + 
      1256*T1^8*T2^7 - 2515*T1^9*T2^7 + 625*T1^10*T2^7 + 209*T1^11*T2^7 - 
      36*T1^12*T2^7 - 246*T1^2*T2^8 + 195*T1^3*T2^8 + 1775*T1^4*T2^8 - 
      3015*T1^5*T2^8 + 1872*T1^6*T2^8 + 1256*T1^7*T2^8 - 2748*T1^8*T2^8 + 
      1985*T1^9*T2^8 - 25*T1^10*T2^8 - 405*T1^11*T2^8 + 74*T1^12*T2^8 + 
      207*T1^3*T2^9 - 605*T1^4*T2^9 + 25*T1^5*T2^9 + 1418*T1^6*T2^9 - 
      2515*T1^7*T2^9 + 1985*T1^8*T2^9 - 532*T1^9*T2^9 - 575*T1^10*T2^9 + 
      495*T1^11*T2^9 - 93*T1^12*T2^9 - 86*T1^4*T2^10 + 409*T1^5*T2^10 - 
      731*T1^6*T2^10 + 625*T1^7*T2^10 - 25*T1^8*T2^10 - 575*T1^9*T2^10 + 
      709*T1^10*T2^10 - 391*T1^11*T2^10 + 74*T1^12*T2^10 + 4*T1^5*T2^11 - 
      52*T1^6*T2^11 + 209*T1^7*T2^11 - 405*T1^8*T2^11 + 495*T1^9*T2^11 - 
      391*T1^10*T2^11 + 188*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 74*T1^8*T2^12 - 93*T1^9*T2^12 + 74*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 516] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 224*T1 - 444*T1^2 + 543*T1^3 - 444*T1^4 + 224*T1^5 - 41*T1^6 + 
      224*T2 - 1046*T1*T2 + 1453*T1^2*T2 - 1031*T1^3*T2 + 47*T1^4*T2 + 
      727*T1^5*T2 - 760*T1^6*T2 + 180*T1^7*T2 - 444*T2^2 + 1453*T1*T2^2 + 
      221*T1^2*T2^2 - 3207*T1^3*T2^2 + 5241*T1^4*T2^2 - 4615*T1^5*T2^2 + 
      1981*T1^6*T2^2 + 485*T1^7*T2^2 - 268*T1^8*T2^2 + 543*T2^3 - 
      1031*T1*T2^3 - 3207*T1^2*T2^3 + 6198*T1^3*T2^3 - 5400*T1^4*T2^3 + 
      1112*T1^5*T2^3 + 2910*T1^6*T2^3 - 3625*T1^7*T2^3 + 267*T1^8*T2^3 + 
      219*T1^9*T2^3 - 444*T2^4 + 47*T1*T2^4 + 5241*T1^2*T2^4 - 
      5400*T1^3*T2^4 + 1346*T1^4*T2^4 + 3554*T1^5*T2^4 - 4638*T1^6*T2^4 + 
      1728*T1^7*T2^4 + 2579*T1^8*T2^4 - 701*T1^9*T2^4 - 92*T1^10*T2^4 + 
      224*T2^5 + 727*T1*T2^5 - 4615*T1^2*T2^5 + 1112*T1^3*T2^5 + 
      3554*T1^4*T2^5 - 4980*T1^5*T2^5 + 1598*T1^6*T2^5 + 2586*T1^7*T2^5 - 
      4168*T1^8*T2^5 - 237*T1^9*T2^5 + 485*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 760*T1*T2^6 + 1981*T1^2*T2^6 + 2910*T1^3*T2^6 - 
      4638*T1^4*T2^6 + 1598*T1^5*T2^6 + 3072*T1^6*T2^6 - 4474*T1^7*T2^6 + 
      2182*T1^8*T2^6 + 2262*T1^9*T2^6 - 879*T1^10*T2^6 - 56*T1^11*T2^6 + 
      7*T1^12*T2^6 + 180*T1*T2^7 + 485*T1^2*T2^7 - 3625*T1^3*T2^7 + 
      1728*T1^4*T2^7 + 2586*T1^5*T2^7 - 4474*T1^6*T2^7 + 2104*T1^7*T2^7 + 
      1618*T1^8*T2^7 - 3552*T1^9*T2^7 + 753*T1^10*T2^7 + 243*T1^11*T2^7 - 
      40*T1^12*T2^7 - 268*T1^2*T2^8 + 267*T1^3*T2^8 + 2579*T1^4*T2^8 - 
      4168*T1^5*T2^8 + 2182*T1^6*T2^8 + 1618*T1^7*T2^8 - 3802*T1^8*T2^8 + 
      2960*T1^9*T2^8 - 83*T1^10*T2^8 - 481*T1^11*T2^8 + 84*T1^12*T2^8 + 
      219*T1^3*T2^9 - 701*T1^4*T2^9 - 237*T1^5*T2^9 + 2262*T1^6*T2^9 - 
      3552*T1^7*T2^9 + 2960*T1^8*T2^9 - 1026*T1^9*T2^9 - 655*T1^10*T2^9 + 
      597*T1^11*T2^9 - 105*T1^12*T2^9 - 92*T1^4*T2^10 + 485*T1^5*T2^10 - 
      879*T1^6*T2^10 + 753*T1^7*T2^10 - 83*T1^8*T2^10 - 655*T1^9*T2^10 + 
      881*T1^10*T2^10 - 483*T1^11*T2^10 + 84*T1^12*T2^10 + 4*T1^5*T2^11 - 
      56*T1^6*T2^11 + 243*T1^7*T2^11 - 481*T1^8*T2^11 + 597*T1^9*T2^11 - 
      483*T1^10*T2^11 + 230*T1^11*T2^11 - 40*T1^12*T2^11 + 7*T1^6*T2^12 - 
      40*T1^7*T2^12 + 84*T1^8*T2^12 - 105*T1^9*T2^12 + 84*T1^10*T2^12 - 
      40*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 517] -> 
  {(1 - 4*T + 11*T^2 - 21*T^3 + 27*T^4 - 21*T^5 + 11*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 44*T1^2 + 84*T1^3 - 108*T1^4 + 84*T1^5 - 44*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 128*T1^2*T2 - 204*T1^3*T2 + 180*T1^4*T2 - 
     12*T1^5*T2 - 76*T1^6*T2 + 68*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     44*T2^2 + 128*T1*T2^2 - 311*T1^2*T2^2 + 476*T1^3*T2^2 - 413*T1^4*T2^2 + 
     83*T1^5*T2^2 - 61*T1^6*T2^2 + 102*T1^7*T2^2 - 91*T1^8*T2^2 + 
     40*T1^9*T2^2 - 22*T1^10*T2^2 + 84*T2^3 - 204*T1*T2^3 + 476*T1^2*T2^3 - 
     631*T1^3*T2^3 + 384*T1^4*T2^3 + 173*T1^5*T2^3 + 77*T1^6*T2^3 - 
     161*T1^7*T2^3 + 95*T1^8*T2^3 + 3*T1^9*T2^3 + 4*T1^10*T2^3 + 
     21*T1^11*T2^3 - 108*T2^4 + 180*T1*T2^4 - 413*T1^2*T2^4 + 384*T1^3*T2^4 + 
     2*T1^4*T2^4 - 351*T1^5*T2^4 - 648*T1^6*T2^4 + 501*T1^7*T2^4 - 
     46*T1^8*T2^4 - 204*T1^9*T2^4 + 103*T1^10*T2^4 - 84*T1^11*T2^4 + 
     84*T2^5 - 12*T1*T2^5 + 83*T1^2*T2^5 + 173*T1^3*T2^5 - 351*T1^4*T2^5 - 
     126*T1^5*T2^5 + 1757*T1^6*T2^5 - 538*T1^7*T2^5 - 468*T1^8*T2^5 + 
     477*T1^9*T2^5 - 31*T1^10*T2^5 - 7*T1^11*T2^5 + 84*T1^12*T2^5 - 
     21*T1^13*T2^5 - 44*T2^6 - 76*T1*T2^6 - 61*T1^2*T2^6 + 77*T1^3*T2^6 - 
     648*T1^4*T2^6 + 1757*T1^5*T2^6 - 2427*T1^6*T2^6 - 891*T1^7*T2^6 + 
     2025*T1^8*T2^6 - 991*T1^9*T2^6 + 18*T1^10*T2^6 + 11*T1^11*T2^6 - 
     85*T1^12*T2^6 - 4*T1^13*T2^6 + 22*T1^14*T2^6 + 16*T2^7 + 68*T1*T2^7 + 
     102*T1^2*T2^7 - 161*T1^3*T2^7 + 501*T1^4*T2^7 - 538*T1^5*T2^7 - 
     891*T1^6*T2^7 + 4630*T1^7*T2^7 - 3570*T1^8*T2^7 + 302*T1^9*T2^7 + 
     851*T1^10*T2^7 - 423*T1^11*T2^7 + 212*T1^12*T2^7 - 19*T1^13*T2^7 - 
     40*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 91*T1^2*T2^8 + 
     95*T1^3*T2^8 - 46*T1^4*T2^8 - 468*T1^5*T2^8 + 2025*T1^6*T2^8 - 
     3570*T1^7*T2^8 + 312*T1^8*T2^8 + 3242*T1^9*T2^8 - 2313*T1^10*T2^8 + 
     612*T1^11*T2^8 - 50*T1^12*T2^8 - 71*T1^13*T2^8 + 97*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 40*T1^2*T2^9 + 3*T1^3*T2^9 - 
     204*T1^4*T2^9 + 477*T1^5*T2^9 - 991*T1^6*T2^9 + 302*T1^7*T2^9 + 
     3242*T1^8*T2^9 - 4958*T1^9*T2^9 + 1495*T1^10*T2^9 + 398*T1^11*T2^9 - 
     447*T1^12*T2^9 + 169*T1^13*T2^9 - 118*T1^14*T2^9 - 68*T1^15*T2^9 - 
     16*T1^16*T2^9 - 22*T1^2*T2^10 + 4*T1^3*T2^10 + 103*T1^4*T2^10 - 
     31*T1^5*T2^10 + 18*T1^6*T2^10 + 851*T1^7*T2^10 - 2313*T1^8*T2^10 + 
     1495*T1^9*T2^10 + 2139*T1^10*T2^10 - 1897*T1^11*T2^10 + 
     684*T1^12*T2^10 - 97*T1^13*T2^10 + 79*T1^14*T2^10 + 76*T1^15*T2^10 + 
     44*T1^16*T2^10 + 21*T1^3*T2^11 - 84*T1^4*T2^11 - 7*T1^5*T2^11 + 
     11*T1^6*T2^11 - 423*T1^7*T2^11 + 612*T1^8*T2^11 + 398*T1^9*T2^11 - 
     1897*T1^10*T2^11 + 270*T1^11*T2^11 + 405*T1^12*T2^11 - 193*T1^13*T2^11 - 
     97*T1^14*T2^11 + 12*T1^15*T2^11 - 84*T1^16*T2^11 + 84*T1^5*T2^12 - 
     85*T1^6*T2^12 + 212*T1^7*T2^12 - 50*T1^8*T2^12 - 447*T1^9*T2^12 + 
     684*T1^10*T2^12 + 405*T1^11*T2^12 - 98*T1^12*T2^12 - 376*T1^13*T2^12 + 
     431*T1^14*T2^12 - 180*T1^15*T2^12 + 108*T1^16*T2^12 - 21*T1^5*T2^13 - 
     4*T1^6*T2^13 - 19*T1^7*T2^13 - 71*T1^8*T2^13 + 169*T1^9*T2^13 - 
     97*T1^10*T2^13 - 193*T1^11*T2^13 - 376*T1^12*T2^13 + 655*T1^13*T2^13 - 
     492*T1^14*T2^13 + 204*T1^15*T2^13 - 84*T1^16*T2^13 + 22*T1^6*T2^14 - 
     40*T1^7*T2^14 + 97*T1^8*T2^14 - 118*T1^9*T2^14 + 79*T1^10*T2^14 - 
     97*T1^11*T2^14 + 431*T1^12*T2^14 - 492*T1^13*T2^14 + 317*T1^14*T2^14 - 
     128*T1^15*T2^14 + 44*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     68*T1^9*T2^15 + 76*T1^10*T2^15 + 12*T1^11*T2^15 - 180*T1^12*T2^15 + 
     204*T1^13*T2^15 - 128*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 44*T1^10*T2^16 - 84*T1^11*T2^16 + 
     108*T1^12*T2^16 - 84*T1^13*T2^16 + 44*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 518] -> 
  {((1 - T + T^2)^2*(1 + 2*T - 5*T^2 + 2*T^3 + T^4))/T^4, 
   (4*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-2 - 2*T1 + 12*T1^2 - 18*T1^3 + 12*T1^4 - 2*T1^5 - 2*T1^6 - 2*T2 - 
      4*T1*T2 + 10*T1^2*T2 - 6*T1^3*T2 - 6*T1^4*T2 + 10*T1^5*T2 - 4*T1^6*T2 - 
      2*T1^7*T2 + 12*T2^2 + 10*T1*T2^2 - 64*T1^2*T2^2 + 121*T1^3*T2^2 - 
      131*T1^4*T2^2 + 97*T1^5*T2^2 - 43*T1^6*T2^2 + 7*T1^7*T2^2 + 
      9*T1^8*T2^2 - 18*T2^3 - 6*T1*T2^3 + 121*T1^2*T2^3 - 206*T1^3*T2^3 + 
      135*T1^4*T2^3 + 27*T1^5*T2^3 - 113*T1^6*T2^3 + 67*T1^7*T2^3 - 
      9*T1^9*T2^3 + 12*T2^4 - 6*T1*T2^4 - 131*T1^2*T2^4 + 135*T1^3*T2^4 + 
      64*T1^4*T2^4 - 259*T1^5*T2^4 + 199*T1^6*T2^4 - 9*T1^7*T2^4 - 
      68*T1^8*T2^4 - 6*T1^9*T2^4 + 3*T1^10*T2^4 - 2*T2^5 + 10*T1*T2^5 + 
      97*T1^2*T2^5 + 27*T1^3*T2^5 - 259*T1^4*T2^5 + 302*T1^5*T2^5 - 
      40*T1^6*T2^5 - 154*T1^7*T2^5 + 99*T1^8*T2^5 + 49*T1^9*T2^5 + 
      3*T1^10*T2^5 - 2*T2^6 - 4*T1*T2^6 - 43*T1^2*T2^6 - 113*T1^3*T2^6 + 
      199*T1^4*T2^6 - 40*T1^5*T2^6 - 228*T1^6*T2^6 + 236*T1^7*T2^6 - 
      47*T1^8*T2^6 - 71*T1^9*T2^6 - 17*T1^10*T2^6 - 2*T1*T2^7 + 7*T1^2*T2^7 + 
      67*T1^3*T2^7 - 9*T1^4*T2^7 - 154*T1^5*T2^7 + 236*T1^6*T2^7 - 
      106*T1^7*T2^7 - 49*T1^8*T2^7 + 63*T1^9*T2^7 + 19*T1^10*T2^7 + 
      9*T1^2*T2^8 - 68*T1^4*T2^8 + 99*T1^5*T2^8 - 47*T1^6*T2^8 - 
      49*T1^7*T2^8 + 88*T1^8*T2^8 - 45*T1^9*T2^8 - 5*T1^10*T2^8 - 
      9*T1^3*T2^9 - 6*T1^4*T2^9 + 49*T1^5*T2^9 - 71*T1^6*T2^9 + 
      63*T1^7*T2^9 - 45*T1^8*T2^9 + 22*T1^9*T2^9 - 5*T1^10*T2^9 + 
      3*T1^4*T2^10 + 3*T1^5*T2^10 - 17*T1^6*T2^10 + 19*T1^7*T2^10 - 
      5*T1^8*T2^10 - 5*T1^9*T2^10 + 4*T1^10*T2^10))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 519] -> 
  {(2 - 3*T + 2*T^2)/T, -((2*T1 - 2*T1^2 + 2*T1^3 + 2*T2 - 8*T1*T2 + 
      2*T1^2*T2 + 2*T1^3*T2 - 8*T1^4*T2 + 2*T1^5*T2 - 2*T2^2 + 2*T1*T2^2 + 
      19*T1^2*T2^2 - 25*T1^3*T2^2 + 19*T1^4*T2^2 + 2*T1^5*T2^2 - 
      2*T1^6*T2^2 + 2*T2^3 + 2*T1*T2^3 - 25*T1^2*T2^3 + 24*T1^3*T2^3 - 
      6*T1^4*T2^3 - 13*T1^5*T2^3 + 2*T1^6*T2^3 + 2*T1^7*T2^3 - 8*T1*T2^4 + 
      19*T1^2*T2^4 - 6*T1^3*T2^4 - 12*T1^4*T2^4 + 18*T1^5*T2^4 + 
      3*T1^6*T2^4 - 8*T1^7*T2^4 + 2*T1*T2^5 + 2*T1^2*T2^5 - 13*T1^3*T2^5 + 
      18*T1^4*T2^5 - 12*T1^5*T2^5 - T1^6*T2^5 + 2*T1^7*T2^5 + 2*T1^8*T2^5 - 
      2*T1^2*T2^6 + 2*T1^3*T2^6 + 3*T1^4*T2^6 - T1^5*T2^6 + 3*T1^6*T2^6 + 
      2*T1^7*T2^6 - 2*T1^8*T2^6 + 2*T1^3*T2^7 - 8*T1^4*T2^7 + 2*T1^5*T2^7 + 
      2*T1^6*T2^7 - 8*T1^7*T2^7 + 2*T1^8*T2^7 + 2*T1^5*T2^8 - 2*T1^6*T2^8 + 
      2*T1^7*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 520] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-44 + 198*T1 - 302*T1^2 + 198*T1^3 - 44*T1^4 + 198*T2 - 970*T1*T2 + 
      1758*T1^2*T2 - 1482*T1^3*T2 + 614*T1^4*T2 - 90*T1^5*T2 - 302*T2^2 + 
      1758*T1*T2^2 - 3439*T1^2*T2^2 + 1643*T1^3*T2^2 + 1529*T1^4*T2^2 - 
      2130*T1^5*T2^2 + 562*T1^6*T2^2 + 198*T2^3 - 1482*T1*T2^3 + 
      1643*T1^2*T2^3 + 5894*T1^3*T2^3 - 11224*T1^4*T2^3 + 6503*T1^5*T2^3 + 
      462*T1^6*T2^3 - 666*T1^7*T2^3 - 44*T2^4 + 614*T1*T2^4 + 
      1529*T1^2*T2^4 - 11224*T1^3*T2^4 + 10368*T1^4*T2^4 + 2528*T1^5*T2^4 - 
      8407*T1^6*T2^4 + 2054*T1^7*T2^4 + 212*T1^8*T2^4 - 90*T1*T2^5 - 
      2130*T1^2*T2^5 + 6503*T1^3*T2^5 + 2528*T1^4*T2^5 - 14590*T1^5*T2^5 + 
      11363*T1^6*T2^5 - 186*T1^7*T2^5 - 954*T1^8*T2^5 + 562*T1^2*T2^6 + 
      462*T1^3*T2^6 - 8407*T1^4*T2^6 + 11363*T1^5*T2^6 - 3439*T1^6*T2^6 - 
      3426*T1^7*T2^6 + 1426*T1^8*T2^6 - 666*T1^3*T2^7 + 2054*T1^4*T2^7 - 
      186*T1^5*T2^7 - 3426*T1^6*T2^7 + 3638*T1^7*T2^7 - 954*T1^8*T2^7 + 
      212*T1^4*T2^8 - 954*T1^5*T2^8 + 1426*T1^6*T2^8 - 954*T1^7*T2^8 + 
      212*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 521] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 4*T^2 - 3*T^3 + 4*T^4 - 3*T^5 + T^6))/T^4), 
   -((-5 + 30*T1 - 70*T1^2 + 90*T1^3 - 85*T1^4 + 90*T1^5 - 70*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 204*T1^3*T2 + 
      78*T1^4*T2 - 132*T1^5*T2 - 12*T1^6*T2 + 156*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 159*T1^2*T2^2 - 500*T1^3*T2^2 + 
      806*T1^4*T2^2 - 423*T1^5*T2^2 + 890*T1^6*T2^2 - 836*T1^7*T2^2 + 
      205*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 90*T2^3 - 204*T1*T2^3 - 
      500*T1^2*T2^3 + 1598*T1^3*T2^3 - 1193*T1^4*T2^3 + 61*T1^5*T2^3 - 
      1151*T1^6*T2^3 + 253*T1^7*T2^3 + 944*T1^8*T2^3 - 668*T1^9*T2^3 + 
      36*T1^10*T2^3 + 36*T1^11*T2^3 - 85*T2^4 + 78*T1*T2^4 + 806*T1^2*T2^4 - 
      1193*T1^3*T2^4 - 658*T1^4*T2^4 + 1901*T1^5*T2^4 + 98*T1^6*T2^4 + 
      1733*T1^7*T2^4 - 2162*T1^8*T2^4 + 391*T1^9*T2^4 + 462*T1^10*T2^4 - 
      114*T1^11*T2^4 - 17*T1^12*T2^4 + 90*T2^5 - 132*T1*T2^5 - 
      423*T1^2*T2^5 + 61*T1^3*T2^5 + 1901*T1^4*T2^5 - 1940*T1^5*T2^5 - 
      681*T1^6*T2^5 - 1509*T1^7*T2^5 + 796*T1^8*T2^5 + 1145*T1^9*T2^5 - 
      839*T1^10*T2^5 - 99*T1^11*T2^5 + 102*T1^12*T2^5 - 70*T2^6 - 
      12*T1*T2^6 + 890*T1^2*T2^6 - 1151*T1^3*T2^6 + 98*T1^4*T2^6 - 
      681*T1^5*T2^6 + 2843*T1^6*T2^6 - 95*T1^7*T2^6 + 179*T1^8*T2^6 - 
      993*T1^9*T2^6 - 62*T1^10*T2^6 + 529*T1^11*T2^6 - 50*T1^12*T2^6 - 
      84*T1^13*T2^6 + 14*T1^14*T2^6 + 30*T2^7 + 156*T1*T2^7 - 836*T1^2*T2^7 + 
      253*T1^3*T2^7 + 1733*T1^4*T2^7 - 1509*T1^5*T2^7 - 95*T1^6*T2^7 - 
      2884*T1^7*T2^7 + 2492*T1^8*T2^7 - 299*T1^9*T2^7 + 351*T1^10*T2^7 + 
      137*T1^11*T2^7 - 641*T1^12*T2^7 + 340*T1^13*T2^7 - 12*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 205*T1^2*T2^8 + 944*T1^3*T2^8 - 
      2162*T1^4*T2^8 + 796*T1^5*T2^8 + 179*T1^6*T2^8 + 2492*T1^7*T2^8 - 
      660*T1^8*T2^8 - 2212*T1^9*T2^8 + 1171*T1^10*T2^8 - 1364*T1^11*T2^8 + 
      1174*T1^12*T2^8 - 232*T1^13*T2^8 - 195*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 108*T1^2*T2^9 - 668*T1^3*T2^9 + 
      391*T1^4*T2^9 + 1145*T1^5*T2^9 - 993*T1^6*T2^9 - 299*T1^7*T2^9 - 
      2212*T1^8*T2^9 + 3164*T1^9*T2^9 - 503*T1^10*T2^9 + 867*T1^11*T2^9 - 
      451*T1^12*T2^9 - 503*T1^13*T2^9 + 508*T1^14*T2^9 - 60*T1^15*T2^9 - 
      18*T1^16*T2^9 - 42*T1^2*T2^10 + 36*T1^3*T2^10 + 462*T1^4*T2^10 - 
      839*T1^5*T2^10 - 62*T1^6*T2^10 + 351*T1^7*T2^10 + 1171*T1^8*T2^10 - 
      503*T1^9*T2^10 - 1493*T1^10*T2^10 + 39*T1^11*T2^10 - 222*T1^12*T2^10 + 
      841*T1^13*T2^10 - 478*T1^14*T2^10 - 36*T1^15*T2^10 + 42*T1^16*T2^10 + 
      36*T1^3*T2^11 - 114*T1^4*T2^11 - 99*T1^5*T2^11 + 529*T1^6*T2^11 + 
      137*T1^7*T2^11 - 1364*T1^8*T2^11 + 867*T1^9*T2^11 + 39*T1^10*T2^11 + 
      1372*T1^11*T2^11 - 619*T1^12*T2^11 - 371*T1^13*T2^11 + 
      225*T1^14*T2^11 + 120*T1^15*T2^11 - 54*T1^16*T2^11 - 17*T1^4*T2^12 + 
      102*T1^5*T2^12 - 50*T1^6*T2^12 - 641*T1^7*T2^12 + 1174*T1^8*T2^12 - 
      451*T1^9*T2^12 - 222*T1^10*T2^12 - 619*T1^11*T2^12 - 330*T1^12*T2^12 + 
      943*T1^13*T2^12 - 394*T1^14*T2^12 - 90*T1^15*T2^12 + 51*T1^16*T2^12 - 
      84*T1^6*T2^13 + 340*T1^7*T2^13 - 232*T1^8*T2^13 - 503*T1^9*T2^13 + 
      841*T1^10*T2^13 - 371*T1^11*T2^13 + 943*T1^12*T2^13 - 886*T1^13*T2^13 + 
      172*T1^14*T2^13 + 156*T1^15*T2^13 - 54*T1^16*T2^13 + 14*T1^6*T2^14 - 
      12*T1^7*T2^14 - 195*T1^8*T2^14 + 508*T1^9*T2^14 - 478*T1^10*T2^14 + 
      225*T1^11*T2^14 - 394*T1^12*T2^14 + 172*T1^13*T2^14 + 169*T1^14*T2^14 - 
      180*T1^15*T2^14 + 42*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      60*T1^9*T2^15 - 36*T1^10*T2^15 + 120*T1^11*T2^15 - 90*T1^12*T2^15 + 
      156*T1^13*T2^15 - 180*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 54*T1^11*T2^16 + 
      51*T1^12*T2^16 - 54*T1^13*T2^16 + 42*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 522] -> 
  {(1 - 2*T + 5*T^2 - 7*T^3 + 5*T^4 - 2*T^5 + T^6)/T^3, 
   (-2 + 4*T1 - 10*T1^2 + 14*T1^3 - 10*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
     6*T1*T2 + 16*T1^2*T2 - 18*T1^3*T2 + 6*T1^4*T2 + 2*T1^5*T2 + 2*T1^7*T2 - 
     10*T2^2 + 16*T1*T2^2 - 26*T1^2*T2^2 + 24*T1^3*T2^2 + 6*T1^4*T2^2 - 
     26*T1^5*T2^2 + 14*T1^6*T2^2 - 4*T1^7*T2^2 + 14*T2^3 - 18*T1*T2^3 + 
     24*T1^2*T2^3 - 41*T1^3*T2^3 + 13*T1^4*T2^3 - 14*T1^5*T2^3 + 
     57*T1^6*T2^3 - 51*T1^7*T2^3 + 14*T1^8*T2^3 - 7*T1^9*T2^3 - 10*T2^4 + 
     6*T1*T2^4 + 6*T1^2*T2^4 + 13*T1^3*T2^4 + 41*T1^4*T2^4 - 27*T1^5*T2^4 - 
     19*T1^6*T2^4 - 15*T1^7*T2^4 + 50*T1^8*T2^4 - 6*T1^9*T2^4 + 
     10*T1^10*T2^4 + 4*T2^5 + 2*T1*T2^5 - 26*T1^2*T2^5 - 14*T1^3*T2^5 - 
     27*T1^4*T2^5 - 81*T1^5*T2^5 + 159*T1^6*T2^5 - 82*T1^7*T2^5 + 
     11*T1^8*T2^5 - 51*T1^9*T2^5 - 8*T1^10*T2^5 - 6*T1^11*T2^5 - 2*T2^6 + 
     14*T1^2*T2^6 + 57*T1^3*T2^6 - 19*T1^4*T2^6 + 159*T1^5*T2^6 - 
     144*T1^6*T2^6 - 39*T1^7*T2^6 + 99*T1^8*T2^6 - 5*T1^9*T2^6 + 
     62*T1^10*T2^6 + 4*T1^11*T2^6 + 4*T1^12*T2^6 + 2*T1*T2^7 - 4*T1^2*T2^7 - 
     51*T1^3*T2^7 - 15*T1^4*T2^7 - 82*T1^5*T2^7 - 39*T1^6*T2^7 + 
     201*T1^7*T2^7 - 137*T1^8*T2^7 + 10*T1^9*T2^7 - 76*T1^10*T2^7 - 
     14*T1^11*T2^7 - 8*T1^12*T2^7 + 14*T1^3*T2^8 + 50*T1^4*T2^8 + 
     11*T1^5*T2^8 + 99*T1^6*T2^8 - 137*T1^7*T2^8 + 39*T1^8*T2^8 - 
     17*T1^9*T2^8 + 94*T1^10*T2^8 + 2*T1^11*T2^8 + 20*T1^12*T2^8 - 
     7*T1^3*T2^9 - 6*T1^4*T2^9 - 51*T1^5*T2^9 - 5*T1^6*T2^9 + 10*T1^7*T2^9 - 
     17*T1^8*T2^9 + 93*T1^9*T2^9 - 126*T1^10*T2^9 + 26*T1^11*T2^9 - 
     28*T1^12*T2^9 + 10*T1^4*T2^10 - 8*T1^5*T2^10 + 62*T1^6*T2^10 - 
     76*T1^7*T2^10 + 94*T1^8*T2^10 - 126*T1^9*T2^10 + 102*T1^10*T2^10 - 
     28*T1^11*T2^10 + 20*T1^12*T2^10 - 6*T1^5*T2^11 + 4*T1^6*T2^11 - 
     14*T1^7*T2^11 + 2*T1^8*T2^11 + 26*T1^9*T2^11 - 28*T1^10*T2^11 + 
     10*T1^11*T2^11 - 8*T1^12*T2^11 + 4*T1^6*T2^12 - 8*T1^7*T2^12 + 
     20*T1^8*T2^12 - 28*T1^9*T2^12 + 20*T1^10*T2^12 - 8*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 523] -> {(2 - 3*T + 3*T^2 - 3*T^3 + 2*T^4)/T^2, 
   (-15 + 22*T1 - 21*T1^2 + 22*T1^3 - 15*T1^4 + 22*T2 - 16*T1*T2 + 
     12*T1^2*T2 - 24*T1^3*T2 + 14*T1^4*T2 + 10*T1^5*T2 - 21*T2^2 + 
     12*T1*T2^2 + 42*T1^2*T2^2 - 66*T1^3*T2^2 + 54*T1^4*T2^2 - 24*T1^5*T2^2 + 
     3*T1^6*T2^2 + 22*T2^3 - 24*T1*T2^3 - 66*T1^2*T2^3 + 23*T1^3*T2^3 + 
     59*T1^4*T2^3 - 75*T1^5*T2^3 + 12*T1^6*T2^3 - 14*T1^7*T2^3 - 15*T2^4 + 
     14*T1*T2^4 + 54*T1^2*T2^4 + 59*T1^3*T2^4 - 96*T1^4*T2^4 + 29*T1^5*T2^4 + 
     48*T1^6*T2^4 + 2*T1^7*T2^4 + 17*T1^8*T2^4 + 10*T1*T2^5 - 24*T1^2*T2^5 - 
     75*T1^3*T2^5 + 29*T1^4*T2^5 + 65*T1^5*T2^5 - 84*T1^6*T2^5 + 
     12*T1^7*T2^5 - 26*T1^8*T2^5 + 3*T1^2*T2^6 + 12*T1^3*T2^6 + 
     48*T1^4*T2^6 - 84*T1^5*T2^6 + 60*T1^6*T2^6 - 24*T1^7*T2^6 + 
     27*T1^8*T2^6 - 14*T1^3*T2^7 + 2*T1^4*T2^7 + 12*T1^5*T2^7 - 
     24*T1^6*T2^7 + 32*T1^7*T2^7 - 26*T1^8*T2^7 + 17*T1^4*T2^8 - 
     26*T1^5*T2^8 + 27*T1^6*T2^8 - 26*T1^7*T2^8 + 17*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 524] -> 
  {(2 - 11*T + 21*T^2 - 23*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 344*T1^2 + 375*T1^3 - 344*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1137*T1^2*T2 - 633*T1^3*T2 + 335*T1^4*T2 + 
     433*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 344*T2^2 + 1137*T1*T2^2 + 
     340*T1^2*T2^2 - 2917*T1^3*T2^2 + 3088*T1^4*T2^2 - 3925*T1^5*T2^2 + 
     1936*T1^6*T2^2 + 213*T1^7*T2^2 - 176*T1^8*T2^2 + 375*T2^3 - 
     633*T1*T2^3 - 2917*T1^2*T2^3 + 5457*T1^3*T2^3 - 2926*T1^4*T2^3 + 
     2822*T1^5*T2^3 + 1515*T1^6*T2^3 - 2812*T1^7*T2^3 + 423*T1^8*T2^3 + 
     99*T1^9*T2^3 - 344*T2^4 + 335*T1*T2^4 + 3088*T1^2*T2^4 - 
     2926*T1^3*T2^4 - 2369*T1^4*T2^4 + 2191*T1^5*T2^4 - 5249*T1^6*T2^4 + 
     2824*T1^7*T2^4 + 1050*T1^8*T2^4 - 501*T1^9*T2^4 - 8*T1^10*T2^4 + 
     181*T2^5 + 433*T1*T2^5 - 3925*T1^2*T2^5 + 2822*T1^3*T2^5 + 
     2191*T1^4*T2^5 + 36*T1^5*T2^5 + 542*T1^6*T2^5 + 1750*T1^7*T2^5 - 
     2922*T1^8*T2^5 + 422*T1^9*T2^5 + 257*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 + 1936*T1^2*T2^6 + 1515*T1^3*T2^6 - 
     5249*T1^4*T2^6 + 542*T1^5*T2^6 + 600*T1^6*T2^6 - 1110*T1^7*T2^6 + 
     881*T1^8*T2^6 + 1425*T1^9*T2^6 - 1120*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 213*T1^2*T2^7 - 2812*T1^3*T2^7 + 
     2824*T1^4*T2^7 + 1750*T1^5*T2^7 - 1110*T1^6*T2^7 - 604*T1^7*T2^7 + 
     1309*T1^8*T2^7 - 2920*T1^9*T2^7 + 1535*T1^10*T2^7 + 37*T1^11*T2^7 - 
     83*T1^12*T2^7 - 176*T1^2*T2^8 + 423*T1^3*T2^8 + 1050*T1^4*T2^8 - 
     2922*T1^5*T2^8 + 881*T1^6*T2^8 + 1309*T1^7*T2^8 - 1999*T1^8*T2^8 + 
     2828*T1^9*T2^8 - 988*T1^10*T2^8 - 413*T1^11*T2^8 + 160*T1^12*T2^8 + 
     99*T1^3*T2^9 - 501*T1^4*T2^9 + 422*T1^5*T2^9 + 1425*T1^6*T2^9 - 
     2920*T1^7*T2^9 + 2828*T1^8*T2^9 - 2517*T1^9*T2^9 + 527*T1^10*T2^9 + 
     555*T1^11*T2^9 - 177*T1^12*T2^9 - 8*T1^4*T2^10 + 257*T1^5*T2^10 - 
     1120*T1^6*T2^10 + 1535*T1^7*T2^10 - 988*T1^8*T2^10 + 527*T1^9*T2^10 + 
     476*T1^10*T2^10 - 667*T1^11*T2^10 + 160*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 + 37*T1^7*T2^11 - 413*T1^8*T2^11 + 555*T1^9*T2^11 - 
     667*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 160*T1^8*T2^12 - 177*T1^9*T2^12 + 160*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 525] -> 
  {-((1 - 8*T + 28*T^2 - 43*T^3 + 28*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 84*T1^2 + 129*T1^3 - 84*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 544*T1^2*T2 - 584*T1^3*T2 - 16*T1^4*T2 + 256*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 84*T2^2 + 544*T1*T2^2 - 1350*T1^2*T2^2 + 
      260*T1^3*T2^2 + 2332*T1^4*T2^2 - 1700*T1^5*T2^2 + 162*T1^6*T2^2 + 
      96*T1^7*T2^2 - 28*T1^8*T2^2 + 129*T2^3 - 584*T1*T2^3 + 260*T1^2*T2^3 + 
      5021*T1^3*T2^3 - 9165*T1^4*T2^3 + 2095*T1^5*T2^3 + 2633*T1^6*T2^3 - 
      1336*T1^7*T2^3 + 224*T1^8*T2^3 - 84*T2^4 - 16*T1*T2^4 + 
      2332*T1^2*T2^4 - 9165*T1^3*T2^4 + 6028*T1^4*T2^4 + 12780*T1^5*T2^4 - 
      15028*T1^6*T2^4 + 4595*T1^7*T2^4 - 36*T1^8*T2^4 - 224*T1^9*T2^4 + 
      28*T1^10*T2^4 + 24*T2^5 + 256*T1*T2^5 - 1700*T1^2*T2^5 + 
      2095*T1^3*T2^5 + 12780*T1^4*T2^5 - 35400*T1^5*T2^5 + 26252*T1^6*T2^5 - 
      2116*T1^7*T2^5 - 4165*T1^8*T2^5 + 1352*T1^9*T2^5 - 96*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 162*T1^2*T2^6 + 2633*T1^3*T2^6 - 
      15028*T1^4*T2^6 + 26252*T1^5*T2^6 - 6480*T1^6*T2^6 - 21764*T1^7*T2^6 + 
      16468*T1^8*T2^6 - 3001*T1^9*T2^6 - 150*T1^10*T2^6 + 104*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 96*T1^2*T2^7 - 1336*T1^3*T2^7 + 
      4595*T1^4*T2^7 - 2116*T1^5*T2^7 - 21764*T1^6*T2^7 + 39888*T1^7*T2^7 - 
      17012*T1^8*T2^7 - 1665*T1^9*T2^7 + 1716*T1^10*T2^7 - 256*T1^11*T2^7 - 
      24*T1^12*T2^7 - 28*T1^2*T2^8 + 224*T1^3*T2^8 - 36*T1^4*T2^8 - 
      4165*T1^5*T2^8 + 16468*T1^6*T2^8 - 17012*T1^7*T2^8 - 4588*T1^8*T2^8 + 
      9595*T1^9*T2^8 - 2404*T1^10*T2^8 + 16*T1^11*T2^8 + 84*T1^12*T2^8 - 
      224*T1^4*T2^9 + 1352*T1^5*T2^9 - 3001*T1^6*T2^9 - 1665*T1^7*T2^9 + 
      9595*T1^8*T2^9 - 5389*T1^9*T2^9 - 244*T1^10*T2^9 + 584*T1^11*T2^9 - 
      129*T1^12*T2^9 + 28*T1^4*T2^10 - 96*T1^5*T2^10 - 150*T1^6*T2^10 + 
      1716*T1^7*T2^10 - 2404*T1^8*T2^10 - 244*T1^9*T2^10 + 1362*T1^10*T2^10 - 
      544*T1^11*T2^10 + 84*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      256*T1^7*T2^11 + 16*T1^8*T2^11 + 584*T1^9*T2^11 - 544*T1^10*T2^11 + 
      176*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      84*T1^8*T2^12 - 129*T1^9*T2^12 + 84*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 526] -> 
  {(1 - 4*T + 6*T^2 - 3*T^3 + T^4 - 3*T^5 + 6*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 36*T1^2 + 18*T1^3 - 6*T1^4 + 18*T1^5 - 36*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 64*T1^2*T2 + 48*T1^3*T2 - 36*T1^4*T2 - 
     52*T1^5*T2 + 84*T1^6*T2 + 24*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     36*T2^2 + 64*T1*T2^2 + 78*T1^2*T2^2 - 271*T1^3*T2^2 + 54*T1^4*T2^2 + 
     104*T1^5*T2^2 - 6*T1^6*T2^2 - 259*T1^7*T2^2 + 138*T1^8*T2^2 + 
     16*T1^9*T2^2 - 24*T1^10*T2^2 + 18*T2^3 + 48*T1*T2^3 - 271*T1^2*T2^3 + 
     279*T1^3*T2^3 + 207*T1^4*T2^3 - 167*T1^5*T2^3 - 182*T1^6*T2^3 + 
     378*T1^7*T2^3 + 75*T1^8*T2^3 - 205*T1^9*T2^3 + 60*T1^10*T2^3 + 
     9*T1^11*T2^3 - 6*T2^4 - 36*T1*T2^4 + 54*T1^2*T2^4 + 207*T1^3*T2^4 - 
     534*T1^4*T2^4 + 146*T1^5*T2^4 + 136*T1^6*T2^4 + 30*T1^7*T2^4 - 
     510*T1^8*T2^4 + 315*T1^9*T2^4 - 18*T1^10*T2^4 - 28*T1^11*T2^4 - 
     2*T1^12*T2^4 + 18*T2^5 - 52*T1*T2^5 + 104*T1^2*T2^5 - 167*T1^3*T2^5 + 
     146*T1^4*T2^5 + 93*T1^5*T2^5 - 44*T1^6*T2^5 - 158*T1^7*T2^5 + 
     255*T1^8*T2^5 - T1^9*T2^5 - 104*T1^10*T2^5 + 44*T1^11*T2^5 - 
     4*T1^12*T2^5 + 3*T1^13*T2^5 - 36*T2^6 + 84*T1*T2^6 - 6*T1^2*T2^6 - 
     182*T1^3*T2^6 + 136*T1^4*T2^6 - 44*T1^5*T2^6 - 22*T1^6*T2^6 - 
     42*T1^7*T2^6 + 146*T1^8*T2^6 - 140*T1^9*T2^6 + 88*T1^10*T2^6 - 
     50*T1^11*T2^6 + 30*T1^12*T2^6 - 12*T1^13*T2^6 + 24*T2^7 + 24*T1*T2^7 - 
     259*T1^2*T2^7 + 378*T1^3*T2^7 + 30*T1^4*T2^7 - 158*T1^5*T2^7 - 
     42*T1^6*T2^7 + 293*T1^7*T2^7 - 293*T1^8*T2^7 + 27*T1^9*T2^7 - 
     8*T1^10*T2^7 + 53*T1^11*T2^7 - 45*T1^12*T2^7 - T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 138*T1^2*T2^8 + 
     75*T1^3*T2^8 - 510*T1^4*T2^8 + 255*T1^5*T2^8 + 146*T1^6*T2^8 - 
     293*T1^7*T2^8 + 108*T1^8*T2^8 + 209*T1^9*T2^8 - 76*T1^10*T2^8 - 
     15*T1^11*T2^8 + 2*T1^12*T2^8 + 69*T1^13*T2^8 - 54*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 16*T1^2*T2^9 - 
     205*T1^3*T2^9 + 315*T1^4*T2^9 - T1^5*T2^9 - 140*T1^6*T2^9 + 
     27*T1^7*T2^9 + 209*T1^8*T2^9 - 377*T1^9*T2^9 + 96*T1^10*T2^9 + 
     10*T1^11*T2^9 + 22*T1^12*T2^9 - 108*T1^13*T2^9 + 53*T1^14*T2^9 + 
     8*T1^15*T2^9 - 8*T1^16*T2^9 - 24*T1^2*T2^10 + 60*T1^3*T2^10 - 
     18*T1^4*T2^10 - 104*T1^5*T2^10 + 88*T1^6*T2^10 - 8*T1^7*T2^10 - 
     76*T1^8*T2^10 + 96*T1^9*T2^10 + 92*T1^10*T2^10 - 104*T1^11*T2^10 + 
     40*T1^12*T2^10 + 28*T1^13*T2^10 + 18*T1^14*T2^10 - 36*T1^15*T2^10 + 
     12*T1^16*T2^10 + 9*T1^3*T2^11 - 28*T1^4*T2^11 + 44*T1^5*T2^11 - 
     50*T1^6*T2^11 + 53*T1^7*T2^11 - 15*T1^8*T2^11 + 10*T1^9*T2^11 - 
     104*T1^10*T2^11 + 147*T1^11*T2^11 - 94*T1^12*T2^11 + 13*T1^13*T2^11 - 
     16*T1^14*T2^11 + 20*T1^15*T2^11 - 6*T1^16*T2^11 - 2*T1^4*T2^12 - 
     4*T1^5*T2^12 + 30*T1^6*T2^12 - 45*T1^7*T2^12 + 2*T1^8*T2^12 + 
     22*T1^9*T2^12 + 40*T1^10*T2^12 - 94*T1^11*T2^12 + 26*T1^12*T2^12 + 
     63*T1^13*T2^12 - 42*T1^14*T2^12 + 4*T1^15*T2^12 + 2*T1^16*T2^12 + 
     3*T1^5*T2^13 - 12*T1^6*T2^13 - T1^7*T2^13 + 69*T1^8*T2^13 - 
     108*T1^9*T2^13 + 28*T1^10*T2^13 + 13*T1^11*T2^13 + 63*T1^12*T2^13 - 
     135*T1^13*T2^13 + 65*T1^14*T2^13 - 6*T1^16*T2^13 + 16*T1^7*T2^14 - 
     54*T1^8*T2^14 + 53*T1^9*T2^14 + 18*T1^10*T2^14 - 16*T1^11*T2^14 - 
     42*T1^12*T2^14 + 65*T1^13*T2^14 + 6*T1^14*T2^14 - 32*T1^15*T2^14 + 
     12*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 8*T1^9*T2^15 - 
     36*T1^10*T2^15 + 20*T1^11*T2^15 + 4*T1^12*T2^15 - 32*T1^14*T2^15 + 
     28*T1^15*T2^15 - 8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 
     12*T1^10*T2^16 - 6*T1^11*T2^16 + 2*T1^12*T2^16 - 6*T1^13*T2^16 + 
     12*T1^14*T2^16 - 8*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 527] -> 
  {-((3 - 12*T + 20*T^2 - 23*T^3 + 20*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-138 + 549*T1 - 908*T1^2 + 1042*T1^3 - 908*T1^4 + 549*T1^5 - 138*T1^6 + 
      549*T2 - 1744*T1*T2 + 1863*T1^2*T2 - 1254*T1^3*T2 + 294*T1^4*T2 + 
      711*T1^5*T2 - 1204*T1^6*T2 + 441*T1^7*T2 - 908*T2^2 + 1863*T1*T2^2 + 
      448*T1^2*T2^2 - 2565*T1^3*T2^2 + 3774*T1^4*T2^2 - 3885*T1^5*T2^2 + 
      2488*T1^6*T2^2 + 423*T1^7*T2^2 - 548*T1^8*T2^2 + 1042*T2^3 - 
      1254*T1*T2^3 - 2565*T1^2*T2^3 + 3311*T1^3*T2^3 - 2593*T1^4*T2^3 + 
      1103*T1^5*T2^3 + 1013*T1^6*T2^3 - 3105*T1^7*T2^3 + 510*T1^8*T2^3 + 
      421*T1^9*T2^3 - 908*T2^4 + 294*T1*T2^4 + 3774*T1^2*T2^4 - 
      2593*T1^3*T2^4 + 1054*T1^4*T2^4 + 128*T1^5*T2^4 - 938*T1^6*T2^4 + 
      1271*T1^7*T2^4 + 1950*T1^8*T2^4 - 930*T1^9*T2^4 - 188*T1^10*T2^4 + 
      549*T2^5 + 711*T1*T2^5 - 3885*T1^2*T2^5 + 1103*T1^3*T2^5 + 
      128*T1^4*T2^5 + 74*T1^5*T2^5 - 486*T1^6*T2^5 + 528*T1^7*T2^5 - 
      2257*T1^8*T2^5 - 225*T1^9*T2^5 + 711*T1^10*T2^5 + 9*T1^11*T2^5 - 
      138*T2^6 - 1204*T1*T2^6 + 2488*T1^2*T2^6 + 1013*T1^3*T2^6 - 
      938*T1^4*T2^6 - 486*T1^5*T2^6 + 732*T1^6*T2^6 - 142*T1^7*T2^6 + 
      494*T1^8*T2^6 + 1691*T1^9*T2^6 - 944*T1^10*T2^6 - 124*T1^11*T2^6 + 
      24*T1^12*T2^6 + 441*T1*T2^7 + 423*T1^2*T2^7 - 3105*T1^3*T2^7 + 
      1271*T1^4*T2^7 + 528*T1^5*T2^7 - 142*T1^6*T2^7 - 702*T1^7*T2^7 + 
      928*T1^8*T2^7 - 2089*T1^9*T2^7 + 555*T1^10*T2^7 + 423*T1^11*T2^7 - 
      99*T1^12*T2^7 - 548*T1^2*T2^8 + 510*T1^3*T2^8 + 1950*T1^4*T2^8 - 
      2257*T1^5*T2^8 + 494*T1^6*T2^8 + 928*T1^7*T2^8 - 1498*T1^8*T2^8 + 
      1607*T1^9*T2^8 + 126*T1^10*T2^8 - 714*T1^11*T2^8 + 172*T1^12*T2^8 + 
      421*T1^3*T2^9 - 930*T1^4*T2^9 - 225*T1^5*T2^9 + 1691*T1^6*T2^9 - 
      2089*T1^7*T2^9 + 1607*T1^8*T2^9 - 607*T1^9*T2^9 - 765*T1^10*T2^9 + 
      834*T1^11*T2^9 - 200*T1^12*T2^9 - 188*T1^4*T2^10 + 711*T1^5*T2^10 - 
      944*T1^6*T2^10 + 555*T1^7*T2^10 + 126*T1^8*T2^10 - 765*T1^9*T2^10 + 
      1096*T1^10*T2^10 - 729*T1^11*T2^10 + 172*T1^12*T2^10 + 9*T1^5*T2^11 - 
      124*T1^6*T2^11 + 423*T1^7*T2^11 - 714*T1^8*T2^11 + 834*T1^9*T2^11 - 
      729*T1^10*T2^11 + 416*T1^11*T2^11 - 99*T1^12*T2^11 + 24*T1^6*T2^12 - 
      99*T1^7*T2^12 + 172*T1^8*T2^12 - 200*T1^9*T2^12 + 172*T1^10*T2^12 - 
      99*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 528] -> 
  {(1 + 2*T - 10*T^2 + 15*T^3 - 10*T^4 + 2*T^5 + T^6)/T^3, 
   (8*T1 - 22*T1^2 + 28*T1^3 - 16*T1^4 + 2*T1^5 + 2*T1^6 + 8*T2 - 33*T1*T2 - 
     T1^2*T2 + 143*T1^3*T2 - 261*T1^4*T2 + 187*T1^5*T2 - 32*T1^6*T2 - 
     20*T1^7*T2 - 22*T2^2 - T1*T2^2 - 73*T1^2*T2^2 + 338*T1^3*T2^2 - 
     702*T1^4*T2^2 + 797*T1^5*T2^2 - 471*T1^6*T2^2 + 48*T1^7*T2^2 + 
     45*T1^8*T2^2 + 28*T2^3 + 143*T1*T2^3 + 338*T1^2*T2^3 - 1103*T1^3*T2^3 + 
     1073*T1^4*T2^3 + 117*T1^5*T2^3 - 922*T1^6*T2^3 + 663*T1^7*T2^3 + 
     8*T1^8*T2^3 - 40*T1^9*T2^3 - 16*T2^4 - 261*T1*T2^4 - 702*T1^2*T2^4 + 
     1073*T1^3*T2^4 + 474*T1^4*T2^4 - 2546*T1^5*T2^4 + 1933*T1^6*T2^4 - 
     102*T1^7*T2^4 - 631*T1^8*T2^4 - 56*T1^9*T2^4 + 10*T1^10*T2^4 + 2*T2^5 + 
     187*T1*T2^5 + 797*T1^2*T2^5 + 117*T1^3*T2^5 - 2546*T1^4*T2^5 + 
     3192*T1^5*T2^5 - 110*T1^6*T2^5 - 1903*T1^7*T2^5 + 1127*T1^8*T2^5 + 
     359*T1^9*T2^5 + 30*T1^10*T2^5 + 6*T1^11*T2^5 + 2*T2^6 - 32*T1*T2^6 - 
     471*T1^2*T2^6 - 922*T1^3*T2^6 + 1933*T1^4*T2^6 - 110*T1^5*T2^6 - 
     3130*T1^6*T2^6 + 2793*T1^7*T2^6 - 322*T1^8*T2^6 - 841*T1^9*T2^6 - 
     72*T1^10*T2^6 + 12*T1^11*T2^6 - 20*T1*T2^7 + 48*T1^2*T2^7 + 
     663*T1^3*T2^7 - 102*T1^4*T2^7 - 1903*T1^5*T2^7 + 2793*T1^6*T2^7 - 
     683*T1^7*T2^7 - 1362*T1^8*T2^7 + 1183*T1^9*T2^7 + 28*T1^10*T2^7 - 
     60*T1^11*T2^7 + 45*T1^2*T2^8 + 8*T1^3*T2^8 - 631*T1^4*T2^8 + 
     1127*T1^5*T2^8 - 322*T1^6*T2^8 - 1362*T1^7*T2^8 + 1997*T1^8*T2^8 - 
     1101*T1^9*T2^8 + 78*T1^10*T2^8 + 90*T1^11*T2^8 - 40*T1^3*T2^9 - 
     56*T1^4*T2^9 + 359*T1^5*T2^9 - 841*T1^6*T2^9 + 1183*T1^7*T2^9 - 
     1101*T1^8*T2^9 + 579*T1^9*T2^9 - 96*T1^10*T2^9 - 60*T1^11*T2^9 + 
     10*T1^4*T2^10 + 30*T1^5*T2^10 - 72*T1^6*T2^10 + 28*T1^7*T2^10 + 
     78*T1^8*T2^10 - 96*T1^9*T2^10 + 32*T1^10*T2^10 + 12*T1^11*T2^10 + 
     6*T1^5*T2^11 + 12*T1^6*T2^11 - 60*T1^7*T2^11 + 90*T1^8*T2^11 - 
     60*T1^9*T2^11 + 12*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 529] -> 
  {(1 - 10*T + 28*T^2 - 37*T^3 + 28*T^4 - 10*T^5 + T^6)/T^3, 
   (-4 + 40*T1 - 112*T1^2 + 148*T1^3 - 112*T1^4 + 40*T1^5 - 4*T1^6 + 40*T2 - 
     370*T1*T2 + 819*T1^2*T2 - 639*T1^3*T2 + 11*T1^4*T2 + 439*T1^5*T2 - 
     260*T1^6*T2 + 30*T1^7*T2 - 112*T2^2 + 819*T1*T2^2 - 225*T1^2*T2^2 - 
     3546*T1^3*T2^2 + 6171*T1^4*T2^2 - 5058*T1^5*T2^2 + 1287*T1^6*T2^2 + 
     259*T1^7*T2^2 - 56*T1^8*T2^2 + 148*T2^3 - 639*T1*T2^3 - 3546*T1^2*T2^3 + 
     12053*T1^3*T2^3 - 11386*T1^4*T2^3 + 2596*T1^5*T2^3 + 5631*T1^6*T2^3 - 
     3574*T1^7*T2^3 + 191*T1^8*T2^3 + 37*T1^9*T2^3 - 112*T2^4 + 11*T1*T2^4 + 
     6171*T1^2*T2^4 - 11386*T1^3*T2^4 - 1594*T1^4*T2^4 + 16626*T1^5*T2^4 - 
     18550*T1^6*T2^4 + 4450*T1^7*T2^4 + 1907*T1^8*T2^4 - 369*T1^9*T2^4 + 
     40*T2^5 + 439*T1*T2^5 - 5058*T1^2*T2^5 + 2596*T1^3*T2^5 + 
     16626*T1^4*T2^5 - 24216*T1^5*T2^5 + 11754*T1^6*T2^5 + 7778*T1^7*T2^5 - 
     7678*T1^8*T2^5 + 906*T1^9*T2^5 + 99*T1^10*T2^5 - 10*T1^11*T2^5 - 
     4*T2^6 - 260*T1*T2^6 + 1287*T1^2*T2^6 + 5631*T1^3*T2^6 - 
     18550*T1^4*T2^6 + 11754*T1^5*T2^6 + 8568*T1^6*T2^6 - 19842*T1^7*T2^6 + 
     9154*T1^8*T2^6 + 929*T1^9*T2^6 - 977*T1^10*T2^6 + 80*T1^11*T2^6 + 
     2*T1^12*T2^6 + 30*T1*T2^7 + 259*T1^2*T2^7 - 3574*T1^3*T2^7 + 
     4450*T1^4*T2^7 + 7778*T1^5*T2^7 - 19842*T1^6*T2^7 + 16128*T1^7*T2^7 - 
     1070*T1^8*T2^7 - 5824*T1^9*T2^7 + 2390*T1^10*T2^7 - 81*T1^11*T2^7 - 
     20*T1^12*T2^7 - 56*T1^2*T2^8 + 191*T1^3*T2^8 + 1907*T1^4*T2^8 - 
     7678*T1^5*T2^8 + 9154*T1^6*T2^8 - 1070*T1^7*T2^8 - 7802*T1^8*T2^8 + 
     8158*T1^9*T2^8 - 2357*T1^10*T2^8 - 189*T1^11*T2^8 + 56*T1^12*T2^8 + 
     37*T1^3*T2^9 - 369*T1^4*T2^9 + 906*T1^5*T2^9 + 929*T1^6*T2^9 - 
     5824*T1^7*T2^9 + 8158*T1^8*T2^9 - 5493*T1^9*T2^9 + 878*T1^10*T2^9 + 
     461*T1^11*T2^9 - 74*T1^12*T2^9 + 99*T1^5*T2^10 - 977*T1^6*T2^10 + 
     2390*T1^7*T2^10 - 2357*T1^8*T2^10 + 878*T1^9*T2^10 + 535*T1^10*T2^10 - 
     461*T1^11*T2^10 + 56*T1^12*T2^10 - 10*T1^5*T2^11 + 80*T1^6*T2^11 - 
     81*T1^7*T2^11 - 189*T1^8*T2^11 + 461*T1^9*T2^11 - 461*T1^10*T2^11 + 
     190*T1^11*T2^11 - 20*T1^12*T2^11 + 2*T1^6*T2^12 - 20*T1^7*T2^12 + 
     56*T1^8*T2^12 - 74*T1^9*T2^12 + 56*T1^10*T2^12 - 20*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 530] -> 
  {(2 - 10*T + 19*T^2 - 21*T^3 + 19*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-31 + 154*T1 - 290*T1^2 + 319*T1^3 - 290*T1^4 + 154*T1^5 - 31*T1^6 + 
     154*T2 - 652*T1*T2 + 879*T1^2*T2 - 527*T1^3*T2 + 273*T1^4*T2 + 
     299*T1^5*T2 - 412*T1^6*T2 + 114*T1^7*T2 - 290*T2^2 + 879*T1*T2^2 - 
     57*T1^2*T2^2 - 1606*T1^3*T2^2 + 1839*T1^4*T2^2 - 2442*T1^5*T2^2 + 
     1235*T1^6*T2^2 + 119*T1^7*T2^2 - 138*T1^8*T2^2 + 319*T2^3 - 
     527*T1*T2^3 - 1606*T1^2*T2^3 + 3396*T1^3*T2^3 - 2044*T1^4*T2^3 + 
     1902*T1^5*T2^3 + 784*T1^6*T2^3 - 1720*T1^7*T2^3 + 353*T1^8*T2^3 + 
     67*T1^9*T2^3 - 290*T2^4 + 273*T1*T2^4 + 1839*T1^2*T2^4 - 
     2044*T1^3*T2^4 - 1089*T1^4*T2^4 + 1257*T1^5*T2^4 - 3125*T1^6*T2^4 + 
     1904*T1^7*T2^4 + 527*T1^8*T2^4 - 407*T1^9*T2^4 + 14*T1^10*T2^4 + 
     154*T2^5 + 299*T1*T2^5 - 2442*T1^2*T2^5 + 1902*T1^3*T2^5 + 
     1257*T1^4*T2^5 - 239*T1^5*T2^5 + 391*T1^6*T2^5 + 896*T1^7*T2^5 - 
     2040*T1^8*T2^5 + 560*T1^9*T2^5 + 159*T1^10*T2^5 - 46*T1^11*T2^5 - 
     31*T2^6 - 412*T1*T2^6 + 1235*T1^2*T2^6 + 784*T1^3*T2^6 - 
     3125*T1^4*T2^6 + 391*T1^5*T2^6 + 780*T1^6*T2^6 - 991*T1^7*T2^6 + 
     1205*T1^8*T2^6 + 660*T1^9*T2^6 - 865*T1^10*T2^6 + 148*T1^11*T2^6 + 
     17*T1^12*T2^6 + 114*T1*T2^7 + 119*T1^2*T2^7 - 1720*T1^3*T2^7 + 
     1904*T1^4*T2^7 + 896*T1^5*T2^7 - 991*T1^6*T2^7 - 361*T1^7*T2^7 + 
     535*T1^8*T2^7 - 2038*T1^9*T2^7 + 1282*T1^10*T2^7 - 21*T1^11*T2^7 - 
     86*T1^12*T2^7 - 138*T1^2*T2^8 + 353*T1^3*T2^8 + 527*T1^4*T2^8 - 
     2040*T1^5*T2^8 + 1205*T1^6*T2^8 + 535*T1^7*T2^8 - 831*T1^8*T2^8 + 
     1908*T1^9*T2^8 - 785*T1^10*T2^8 - 327*T1^11*T2^8 + 166*T1^12*T2^8 + 
     67*T1^3*T2^9 - 407*T1^4*T2^9 + 560*T1^5*T2^9 + 660*T1^6*T2^9 - 
     2038*T1^7*T2^9 + 1908*T1^8*T2^9 - 1952*T1^9*T2^9 + 446*T1^10*T2^9 + 
     473*T1^11*T2^9 - 185*T1^12*T2^9 + 14*T1^4*T2^10 + 159*T1^5*T2^10 - 
     865*T1^6*T2^10 + 1282*T1^7*T2^10 - 785*T1^8*T2^10 + 446*T1^9*T2^10 + 
     427*T1^10*T2^10 - 601*T1^11*T2^10 + 166*T1^12*T2^10 - 46*T1^5*T2^11 + 
     148*T1^6*T2^11 - 21*T1^7*T2^11 - 327*T1^8*T2^11 + 473*T1^9*T2^11 - 
     601*T1^10*T2^11 + 388*T1^11*T2^11 - 86*T1^12*T2^11 + 17*T1^6*T2^12 - 
     86*T1^7*T2^12 + 166*T1^8*T2^12 - 185*T1^9*T2^12 + 166*T1^10*T2^12 - 
     86*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 531] -> 
  {(1 - 4*T + 11*T^2 - 20*T^3 + 25*T^4 - 20*T^5 + 11*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 44*T1^2 + 80*T1^3 - 100*T1^4 + 80*T1^5 - 44*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 128*T1^2*T2 - 188*T1^3*T2 + 160*T1^4*T2 - 
     20*T1^5*T2 - 64*T1^6*T2 + 68*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     44*T2^2 + 128*T1*T2^2 - 311*T1^2*T2^2 + 432*T1^3*T2^2 - 373*T1^4*T2^2 + 
     113*T1^5*T2^2 - 65*T1^6*T2^2 + 80*T1^7*T2^2 - 91*T1^8*T2^2 + 
     40*T1^9*T2^2 - 22*T1^10*T2^2 + 80*T2^3 - 188*T1*T2^3 + 432*T1^2*T2^3 - 
     468*T1^3*T2^3 + 251*T1^4*T2^3 + 151*T1^5*T2^3 + 31*T1^6*T2^3 - 
     125*T1^7*T2^3 + 132*T1^8*T2^3 - 8*T1^9*T2^3 + 8*T1^10*T2^3 + 
     20*T1^11*T2^3 - 100*T2^4 + 160*T1*T2^4 - 373*T1^2*T2^4 + 251*T1^3*T2^4 - 
     86*T1^4*T2^4 - 11*T1^5*T2^4 - 742*T1^6*T2^4 + 629*T1^7*T2^4 - 
     246*T1^8*T2^4 - 149*T1^9*T2^4 + 87*T1^10*T2^4 - 80*T1^11*T2^4 + 
     80*T2^5 - 20*T1*T2^5 + 113*T1^2*T2^5 + 151*T1^3*T2^5 - 11*T1^4*T2^5 - 
     446*T1^5*T2^5 + 1505*T1^6*T2^5 - 595*T1^7*T2^5 - 226*T1^8*T2^5 + 
     489*T1^9*T2^5 - 49*T1^10*T2^5 - 7*T1^11*T2^5 + 80*T1^12*T2^5 - 
     20*T1^13*T2^5 - 44*T2^6 - 64*T1*T2^6 - 65*T1^2*T2^6 + 31*T1^3*T2^6 - 
     742*T1^4*T2^6 + 1505*T1^5*T2^6 - 1870*T1^6*T2^6 - 392*T1^7*T2^6 + 
     1370*T1^8*T2^6 - 935*T1^9*T2^6 + 8*T1^10*T2^6 + 31*T1^11*T2^6 - 
     69*T1^12*T2^6 - 8*T1^13*T2^6 + 22*T1^14*T2^6 + 16*T2^7 + 68*T1*T2^7 + 
     80*T1^2*T2^7 - 125*T1^3*T2^7 + 629*T1^4*T2^7 - 595*T1^5*T2^7 - 
     392*T1^6*T2^7 + 2846*T1^7*T2^7 - 2354*T1^8*T2^7 + 280*T1^9*T2^7 + 
     825*T1^10*T2^7 - 431*T1^11*T2^7 + 155*T1^12*T2^7 - 8*T1^13*T2^7 - 
     40*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 91*T1^2*T2^8 + 
     132*T1^3*T2^8 - 246*T1^4*T2^8 - 226*T1^5*T2^8 + 1370*T1^6*T2^8 - 
     2354*T1^7*T2^8 + 336*T1^8*T2^8 + 2030*T1^9*T2^8 - 1646*T1^10*T2^8 + 
     334*T1^11*T2^8 + 158*T1^12*T2^8 - 108*T1^13*T2^8 + 97*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 40*T1^2*T2^9 - 8*T1^3*T2^9 - 
     149*T1^4*T2^9 + 489*T1^5*T2^9 - 935*T1^6*T2^9 + 280*T1^7*T2^9 + 
     2030*T1^8*T2^9 - 3170*T1^9*T2^9 + 952*T1^10*T2^9 + 485*T1^11*T2^9 - 
     571*T1^12*T2^9 + 131*T1^13*T2^9 - 96*T1^14*T2^9 - 68*T1^15*T2^9 - 
     16*T1^16*T2^9 - 22*T1^2*T2^10 + 8*T1^3*T2^10 + 87*T1^4*T2^10 - 
     49*T1^5*T2^10 + 8*T1^6*T2^10 + 825*T1^7*T2^10 - 1646*T1^8*T2^10 + 
     952*T1^9*T2^10 + 1594*T1^10*T2^10 - 1615*T1^11*T2^10 + 758*T1^12*T2^10 - 
     49*T1^13*T2^10 + 83*T1^14*T2^10 + 64*T1^15*T2^10 + 44*T1^16*T2^10 + 
     20*T1^3*T2^11 - 80*T1^4*T2^11 - 7*T1^5*T2^11 + 31*T1^6*T2^11 - 
     431*T1^7*T2^11 + 334*T1^8*T2^11 + 485*T1^9*T2^11 - 1615*T1^10*T2^11 + 
     554*T1^11*T2^11 + 69*T1^12*T2^11 - 169*T1^13*T2^11 - 127*T1^14*T2^11 + 
     20*T1^15*T2^11 - 80*T1^16*T2^11 + 80*T1^5*T2^12 - 69*T1^6*T2^12 + 
     155*T1^7*T2^12 + 158*T1^8*T2^12 - 571*T1^9*T2^12 + 758*T1^10*T2^12 + 
     69*T1^11*T2^12 - 2*T1^12*T2^12 - 245*T1^13*T2^12 + 391*T1^14*T2^12 - 
     160*T1^15*T2^12 + 100*T1^16*T2^12 - 20*T1^5*T2^13 - 8*T1^6*T2^13 - 
     8*T1^7*T2^13 - 108*T1^8*T2^13 + 131*T1^9*T2^13 - 49*T1^10*T2^13 - 
     169*T1^11*T2^13 - 245*T1^12*T2^13 + 492*T1^13*T2^13 - 448*T1^14*T2^13 + 
     188*T1^15*T2^13 - 80*T1^16*T2^13 + 22*T1^6*T2^14 - 40*T1^7*T2^14 + 
     97*T1^8*T2^14 - 96*T1^9*T2^14 + 83*T1^10*T2^14 - 127*T1^11*T2^14 + 
     391*T1^12*T2^14 - 448*T1^13*T2^14 + 317*T1^14*T2^14 - 128*T1^15*T2^14 + 
     44*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 68*T1^9*T2^15 + 
     64*T1^10*T2^15 + 20*T1^11*T2^15 - 160*T1^12*T2^15 + 188*T1^13*T2^15 - 
     128*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 4*T1^8*T2^16 - 
     16*T1^9*T2^16 + 44*T1^10*T2^16 - 80*T1^11*T2^16 + 100*T1^12*T2^16 - 
     80*T1^13*T2^16 + 44*T1^14*T2^16 - 16*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 532] -> 
  {-((2 - 11*T + 29*T^2 - 41*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 126*T1 - 332*T1^2 + 469*T1^3 - 332*T1^4 + 126*T1^5 - 23*T1^6 + 
      126*T2 - 608*T1*T2 + 1369*T1^2*T2 - 1387*T1^3*T2 + 153*T1^4*T2 + 
      489*T1^5*T2 - 322*T1^6*T2 + 82*T1^7*T2 - 332*T2^2 + 1369*T1*T2^2 - 
      2431*T1^2*T2^2 + 821*T1^3*T2^2 + 2949*T1^4*T2^2 - 2659*T1^5*T2^2 + 
      701*T1^6*T2^2 + 93*T1^7*T2^2 - 100*T1^8*T2^2 + 469*T2^3 - 
      1387*T1*T2^3 + 821*T1^2*T2^3 + 4609*T1^3*T2^3 - 9459*T1^4*T2^3 + 
      3031*T1^5*T2^3 + 2427*T1^6*T2^3 - 2166*T1^7*T2^3 + 681*T1^8*T2^3 - 
      23*T1^9*T2^3 - 332*T2^4 + 153*T1*T2^4 + 2949*T1^2*T2^4 - 
      9459*T1^3*T2^4 + 7732*T1^4*T2^4 + 8732*T1^5*T2^4 - 13064*T1^6*T2^4 + 
      5383*T1^7*T2^4 - 245*T1^8*T2^4 - 595*T1^9*T2^4 + 132*T1^10*T2^4 + 
      126*T2^5 + 489*T1*T2^5 - 2659*T1^2*T2^5 + 3031*T1^3*T2^5 + 
      8732*T1^4*T2^5 - 26608*T1^5*T2^5 + 19772*T1^6*T2^5 - 867*T1^7*T2^5 - 
      4755*T1^8*T2^5 + 2300*T1^9*T2^5 - 215*T1^10*T2^5 - 94*T1^11*T2^5 - 
      23*T2^6 - 322*T1*T2^6 + 701*T1^2*T2^6 + 2427*T1^3*T2^6 - 
      13064*T1^4*T2^6 + 19772*T1^5*T2^6 - 2556*T1^6*T2^6 - 17884*T1^7*T2^6 + 
      13202*T1^8*T2^6 - 3023*T1^9*T2^6 - 563*T1^10*T2^6 + 382*T1^11*T2^6 + 
      25*T1^12*T2^6 + 82*T1*T2^7 + 93*T1^2*T2^7 - 2166*T1^3*T2^7 + 
      5383*T1^4*T2^7 - 867*T1^5*T2^7 - 17884*T1^6*T2^7 + 28496*T1^7*T2^7 - 
      10466*T1^8*T2^7 - 2403*T1^9*T2^7 + 2793*T1^10*T2^7 - 611*T1^11*T2^7 - 
      138*T1^12*T2^7 - 100*T1^2*T2^8 + 681*T1^3*T2^8 - 245*T1^4*T2^8 - 
      4755*T1^5*T2^8 + 13202*T1^6*T2^8 - 10466*T1^7*T2^8 - 7594*T1^8*T2^8 + 
      10087*T1^9*T2^8 - 3439*T1^10*T2^8 - 67*T1^11*T2^8 + 364*T1^12*T2^8 - 
      23*T1^3*T2^9 - 595*T1^4*T2^9 + 2300*T1^5*T2^9 - 3023*T1^6*T2^9 - 
      2403*T1^7*T2^9 + 10087*T1^8*T2^9 - 5205*T1^9*T2^9 - 687*T1^10*T2^9 + 
      1473*T1^11*T2^9 - 515*T1^12*T2^9 + 132*T1^4*T2^10 - 215*T1^5*T2^10 - 
      563*T1^6*T2^10 + 2793*T1^7*T2^10 - 3439*T1^8*T2^10 - 687*T1^9*T2^10 + 
      2569*T1^10*T2^10 - 1491*T1^11*T2^10 + 364*T1^12*T2^10 - 94*T1^5*T2^11 + 
      382*T1^6*T2^11 - 611*T1^7*T2^11 - 67*T1^8*T2^11 + 1473*T1^9*T2^11 - 
      1491*T1^10*T2^11 + 668*T1^11*T2^11 - 138*T1^12*T2^11 + 25*T1^6*T2^12 - 
      138*T1^7*T2^12 + 364*T1^8*T2^12 - 515*T1^9*T2^12 + 364*T1^10*T2^12 - 
      138*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 533] -> 
  {-(((1 - T + T^2)^2*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-5 + 20*T1 - 40*T1^2 + 60*T1^3 - 65*T1^4 + 60*T1^5 - 40*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 96*T1^2*T2 - 112*T1^3*T2 + 
      68*T1^4*T2 - 32*T1^5*T2 - 32*T1^6*T2 + 48*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 40*T2^2 + 96*T1*T2^2 - 90*T1^2*T2^2 + 70*T1^3*T2^2 + 
      52*T1^4*T2^2 - 62*T1^5*T2^2 + 132*T1^6*T2^2 - 58*T1^7*T2^2 + 
      22*T1^8*T2^2 + 32*T1^9*T2^2 - 24*T1^10*T2^2 + 60*T2^3 - 112*T1*T2^3 + 
      70*T1^2*T2^3 - 66*T1^3*T2^3 - 96*T1^4*T2^3 - 4*T1^5*T2^3 - 
      84*T1^6*T2^3 - 68*T1^7*T2^3 + 18*T1^8*T2^3 - 58*T1^9*T2^3 + 
      24*T1^11*T2^3 - 65*T2^4 + 68*T1*T2^4 + 52*T1^2*T2^4 - 96*T1^3*T2^4 + 
      345*T1^4*T2^4 - 138*T1^5*T2^4 + 285*T1^6*T2^4 - 74*T1^7*T2^4 + 
      201*T1^8*T2^4 - 48*T1^9*T2^4 + 84*T1^10*T2^4 - 44*T1^11*T2^4 - 
      13*T1^12*T2^4 + 60*T2^5 - 32*T1*T2^5 - 62*T1^2*T2^5 - 4*T1^3*T2^5 - 
      138*T1^4*T2^5 - 212*T1^5*T2^5 - 62*T1^6*T2^5 - 62*T1^7*T2^5 - 
      164*T1^8*T2^5 - 42*T1^9*T2^5 - 52*T1^10*T2^5 - 14*T1^11*T2^5 + 
      52*T1^12*T2^5 - 40*T2^6 - 32*T1*T2^6 + 132*T1^2*T2^6 - 84*T1^3*T2^6 + 
      285*T1^4*T2^6 - 62*T1^5*T2^6 + 496*T1^6*T2^6 - 344*T1^7*T2^6 + 
      336*T1^8*T2^6 + 2*T1^9*T2^6 + 61*T1^10*T2^6 + 44*T1^11*T2^6 - 
      44*T1^12*T2^6 - 32*T1^13*T2^6 + 8*T1^14*T2^6 + 20*T2^7 + 48*T1*T2^7 - 
      58*T1^2*T2^7 - 68*T1^3*T2^7 - 74*T1^4*T2^7 - 62*T1^5*T2^7 - 
      344*T1^6*T2^7 + 66*T1^7*T2^7 + 146*T1^8*T2^7 - 264*T1^9*T2^7 + 
      66*T1^10*T2^7 - 42*T1^11*T2^7 - 16*T1^12*T2^7 + 70*T1^13*T2^7 - 
      8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 22*T1^2*T2^8 + 18*T1^3*T2^8 + 
      201*T1^4*T2^8 - 164*T1^5*T2^8 + 336*T1^6*T2^8 + 146*T1^7*T2^8 - 
      408*T1^8*T2^8 + 178*T1^9*T2^8 + 16*T1^10*T2^8 - 68*T1^11*T2^8 + 
      49*T1^12*T2^8 - 46*T1^13*T2^8 - 42*T1^14*T2^8 + 20*T1^15*T2^8 + 
      3*T1^16*T2^8 + 16*T1*T2^9 + 32*T1^2*T2^9 - 58*T1^3*T2^9 - 
      48*T1^4*T2^9 - 42*T1^5*T2^9 + 2*T1^6*T2^9 - 264*T1^7*T2^9 + 
      178*T1^8*T2^9 + 258*T1^9*T2^9 - 184*T1^10*T2^9 + 130*T1^11*T2^9 - 
      10*T1^12*T2^9 + 4*T1^13*T2^9 + 70*T1^14*T2^9 - 16*T1^15*T2^9 - 
      12*T1^16*T2^9 - 24*T1^2*T2^10 + 84*T1^4*T2^10 - 52*T1^5*T2^10 + 
      61*T1^6*T2^10 + 66*T1^7*T2^10 + 16*T1^8*T2^10 - 184*T1^9*T2^10 - 
      144*T1^10*T2^10 + 130*T1^11*T2^10 - 163*T1^12*T2^10 + 76*T1^13*T2^10 - 
      92*T1^14*T2^10 + 24*T1^16*T2^10 + 24*T1^3*T2^11 - 44*T1^4*T2^11 - 
      14*T1^5*T2^11 + 44*T1^6*T2^11 - 42*T1^7*T2^11 - 68*T1^8*T2^11 + 
      130*T1^9*T2^11 + 130*T1^10*T2^11 - 20*T1^11*T2^11 + 54*T1^12*T2^11 - 
      4*T1^13*T2^11 + 34*T1^14*T2^11 + 40*T1^15*T2^11 - 36*T1^16*T2^11 - 
      13*T1^4*T2^12 + 52*T1^5*T2^12 - 44*T1^6*T2^12 - 16*T1^7*T2^12 + 
      49*T1^8*T2^12 - 10*T1^9*T2^12 - 163*T1^10*T2^12 + 54*T1^11*T2^12 - 
      95*T1^12*T2^12 + 32*T1^13*T2^12 - 12*T1^14*T2^12 - 60*T1^15*T2^12 + 
      39*T1^16*T2^12 - 32*T1^6*T2^13 + 70*T1^7*T2^13 - 46*T1^8*T2^13 + 
      4*T1^9*T2^13 + 76*T1^10*T2^13 - 4*T1^11*T2^13 + 32*T1^12*T2^13 + 
      38*T1^13*T2^13 - 58*T1^14*T2^13 + 80*T1^15*T2^13 - 36*T1^16*T2^13 + 
      8*T1^6*T2^14 - 42*T1^8*T2^14 + 70*T1^9*T2^14 - 92*T1^10*T2^14 + 
      34*T1^11*T2^14 - 12*T1^12*T2^14 - 58*T1^13*T2^14 + 70*T1^14*T2^14 - 
      64*T1^15*T2^14 + 24*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 
      16*T1^9*T2^15 + 40*T1^11*T2^15 - 60*T1^12*T2^15 + 80*T1^13*T2^15 - 
      64*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 24*T1^10*T2^16 - 36*T1^11*T2^16 + 39*T1^12*T2^16 - 
      36*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 534] -> 
  {-((2 - 11*T + 25*T^2 - 33*T^3 + 25*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 126*T1 - 286*T1^2 + 377*T1^3 - 286*T1^4 + 126*T1^5 - 23*T1^6 + 
      126*T2 - 608*T1*T2 + 1118*T1^2*T2 - 1048*T1^3*T2 + 228*T1^4*T2 + 
      326*T1^5*T2 - 322*T1^6*T2 + 82*T1^7*T2 - 286*T2^2 + 1118*T1*T2^2 - 
      1193*T1^2*T2^2 - 401*T1^3*T2^2 + 2703*T1^4*T2^2 - 2601*T1^5*T2^2 + 
      1107*T1^6*T2^2 + 18*T1^7*T2^2 - 86*T1^8*T2^2 + 377*T2^3 - 
      1048*T1*T2^3 - 401*T1^2*T2^3 + 3879*T1^3*T2^3 - 6074*T1^4*T2^3 + 
      2748*T1^5*T2^3 + 909*T1^6*T2^3 - 1776*T1^7*T2^3 + 580*T1^8*T2^3 - 
      19*T1^9*T2^3 - 286*T2^4 + 228*T1*T2^4 + 2703*T1^2*T2^4 - 
      6074*T1^3*T2^4 + 4754*T1^4*T2^4 + 2984*T1^5*T2^4 - 6618*T1^6*T2^4 + 
      4024*T1^7*T2^4 - 283*T1^8*T2^4 - 520*T1^9*T2^4 + 114*T1^10*T2^4 + 
      126*T2^5 + 326*T1*T2^5 - 2601*T1^2*T2^5 + 2748*T1^3*T2^5 + 
      2984*T1^4*T2^5 - 10688*T1^5*T2^5 + 8892*T1^6*T2^5 - 591*T1^7*T2^5 - 
      3522*T1^8*T2^5 + 2074*T1^9*T2^5 - 114*T1^10*T2^5 - 94*T1^11*T2^5 - 
      23*T2^6 - 322*T1*T2^6 + 1107*T1^2*T2^6 + 909*T1^3*T2^6 - 
      6618*T1^4*T2^6 + 8892*T1^5*T2^6 - 1488*T1^6*T2^6 - 7740*T1^7*T2^6 + 
      6760*T1^8*T2^6 - 1533*T1^9*T2^6 - 1117*T1^10*T2^6 + 382*T1^11*T2^6 + 
      25*T1^12*T2^6 + 82*T1*T2^7 + 18*T1^2*T2^7 - 1776*T1^3*T2^7 + 
      4024*T1^4*T2^7 - 591*T1^5*T2^7 - 7740*T1^6*T2^7 + 11840*T1^7*T2^7 - 
      4166*T1^8*T2^7 - 2246*T1^9*T2^7 + 2899*T1^10*T2^7 - 422*T1^11*T2^7 - 
      138*T1^12*T2^7 - 86*T1^2*T2^8 + 580*T1^3*T2^8 - 283*T1^4*T2^8 - 
      3522*T1^5*T2^8 + 6760*T1^6*T2^8 - 4166*T1^7*T2^8 - 4612*T1^8*T2^8 + 
      6576*T1^9*T2^8 - 3269*T1^10*T2^8 - 168*T1^11*T2^8 + 314*T1^12*T2^8 - 
      19*T1^3*T2^9 - 520*T1^4*T2^9 + 2074*T1^5*T2^9 - 1533*T1^6*T2^9 - 
      2246*T1^7*T2^9 + 6576*T1^8*T2^9 - 4503*T1^9*T2^9 + 699*T1^10*T2^9 + 
      1108*T1^11*T2^9 - 415*T1^12*T2^9 + 114*T1^4*T2^10 - 114*T1^5*T2^10 - 
      1117*T1^6*T2^10 + 2899*T1^7*T2^10 - 3269*T1^8*T2^10 + 699*T1^9*T2^10 + 
      1183*T1^10*T2^10 - 1214*T1^11*T2^10 + 314*T1^12*T2^10 - 94*T1^5*T2^11 + 
      382*T1^6*T2^11 - 422*T1^7*T2^11 - 168*T1^8*T2^11 + 1108*T1^9*T2^11 - 
      1214*T1^10*T2^11 + 668*T1^11*T2^11 - 138*T1^12*T2^11 + 25*T1^6*T2^12 - 
      138*T1^7*T2^12 + 314*T1^8*T2^12 - 415*T1^9*T2^12 + 314*T1^10*T2^12 - 
      138*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 535] -> {-((1 - 7*T + 11*T^2 - 7*T^3 + T^4)/T^2), 
   -((-1 + 9*T1 - 13*T1^2 + 9*T1^3 - T1^4 + 9*T2 - 69*T1*T2 + 87*T1^2*T2 - 
      39*T1^3*T2 - 13*T1^4*T2 + 2*T1^5*T2 - 13*T2^2 + 87*T1*T2^2 + 
      52*T1^2*T2^2 - 276*T1^3*T2^2 + 272*T1^4*T2^2 - 67*T1^5*T2^2 + 
      9*T1^6*T2^2 + 9*T2^3 - 39*T1*T2^3 - 276*T1^2*T2^3 + 666*T1^3*T2^3 - 
      552*T1^4*T2^3 + 109*T1^5*T2^3 + 31*T1^6*T2^3 - 12*T1^7*T2^3 - T2^4 - 
      13*T1*T2^4 + 272*T1^2*T2^4 - 552*T1^3*T2^4 + 180*T1^4*T2^4 + 
      400*T1^5*T2^4 - 370*T1^6*T2^4 + 57*T1^7*T2^4 + 3*T1^8*T2^4 + 
      2*T1*T2^5 - 67*T1^2*T2^5 + 109*T1^3*T2^5 + 400*T1^4*T2^5 - 
      818*T1^5*T2^5 + 494*T1^6*T2^5 + 3*T1^7*T2^5 - 19*T1^8*T2^5 + 
      9*T1^2*T2^6 + 31*T1^3*T2^6 - 370*T1^4*T2^6 + 494*T1^5*T2^6 - 
      150*T1^6*T2^6 - 123*T1^7*T2^6 + 31*T1^8*T2^6 - 12*T1^3*T2^7 + 
      57*T1^4*T2^7 + 3*T1^5*T2^7 - 123*T1^6*T2^7 + 113*T1^7*T2^7 - 
      19*T1^8*T2^7 + 3*T1^4*T2^8 - 19*T1^5*T2^8 + 31*T1^6*T2^8 - 
      19*T1^7*T2^8 + 3*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 536] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 302*T1^2*T2 - 303*T1^3*T2 + 19*T1^4*T2 + 120*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 302*T1*T2^2 - 424*T1^2*T2^2 - 
      181*T1^3*T2^2 + 1222*T1^4*T2^2 - 941*T1^5*T2^2 + 260*T1^6*T2^2 + 
      36*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 303*T1*T2^3 - 181*T1^2*T2^3 + 
      1948*T1^3*T2^3 - 3194*T1^4*T2^3 + 818*T1^5*T2^3 + 758*T1^6*T2^3 - 
      656*T1^7*T2^3 + 131*T1^8*T2^3 - 57*T2^4 + 19*T1*T2^4 + 1222*T1^2*T2^4 - 
      3194*T1^3*T2^4 + 2396*T1^4*T2^4 + 3052*T1^5*T2^4 - 3796*T1^6*T2^4 + 
      1558*T1^7*T2^4 + 20*T1^8*T2^4 - 135*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 120*T1*T2^5 - 941*T1^2*T2^5 + 818*T1^3*T2^5 + 
      3052*T1^4*T2^5 - 8471*T1^5*T2^5 + 5033*T1^6*T2^5 + 221*T1^7*T2^5 - 
      1714*T1^8*T2^5 + 674*T1^9*T2^5 - 34*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 260*T1^2*T2^6 + 758*T1^3*T2^6 - 3796*T1^4*T2^6 + 
      5033*T1^5*T2^6 + 1356*T1^6*T2^6 - 5921*T1^7*T2^6 + 4022*T1^8*T2^6 - 
      734*T1^9*T2^6 - 276*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 36*T1^2*T2^7 - 656*T1^3*T2^7 + 1558*T1^4*T2^7 + 
      221*T1^5*T2^7 - 5921*T1^6*T2^7 + 7583*T1^7*T2^7 - 2610*T1^8*T2^7 - 
      974*T1^9*T2^7 + 959*T1^10*T2^7 - 118*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 131*T1^3*T2^8 + 20*T1^4*T2^8 - 1714*T1^5*T2^8 + 
      4022*T1^6*T2^8 - 2610*T1^7*T2^8 - 2170*T1^8*T2^8 + 3038*T1^9*T2^8 - 
      1182*T1^10*T2^8 - 23*T1^11*T2^8 + 57*T1^12*T2^8 - 135*T1^4*T2^9 + 
      674*T1^5*T2^9 - 734*T1^6*T2^9 - 974*T1^7*T2^9 + 3038*T1^8*T2^9 - 
      1924*T1^9*T2^9 + 199*T1^10*T2^9 + 299*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 34*T1^5*T2^10 - 276*T1^6*T2^10 + 959*T1^7*T2^10 - 
      1182*T1^8*T2^10 + 199*T1^9*T2^10 + 408*T1^10*T2^10 - 300*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 118*T1^7*T2^11 - 
      23*T1^8*T2^11 + 299*T1^9*T2^11 - 300*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 537] -> 
  {((1 - 3*T + T^2)*(2 - 6*T + 7*T^2 - 6*T^3 + 2*T^4))/T^3, 
   (-31 + 185*T1 - 414*T1^2 + 505*T1^3 - 414*T1^4 + 185*T1^5 - 31*T1^6 + 
     185*T2 - 968*T1*T2 + 1659*T1^2*T2 - 1195*T1^3*T2 + 245*T1^4*T2 + 
     723*T1^5*T2 - 632*T1^6*T2 + 137*T1^7*T2 - 414*T2^2 + 1659*T1*T2^2 - 
     904*T1^2*T2^2 - 2877*T1^3*T2^2 + 5060*T1^4*T2^2 - 5145*T1^5*T2^2 + 
     1796*T1^6*T2^2 + 363*T1^7*T2^2 - 198*T1^8*T2^2 + 505*T2^3 - 
     1195*T1*T2^3 - 2877*T1^2*T2^3 + 9162*T1^3*T2^3 - 8081*T1^4*T2^3 + 
     3637*T1^5*T2^3 + 3456*T1^6*T2^3 - 3687*T1^7*T2^3 + 533*T1^8*T2^3 + 
     109*T1^9*T2^3 - 414*T2^4 + 245*T1*T2^4 + 5060*T1^2*T2^4 - 
     8081*T1^3*T2^4 - 271*T1^4*T2^4 + 7477*T1^5*T2^4 - 11503*T1^6*T2^4 + 
     4591*T1^7*T2^4 + 1388*T1^8*T2^4 - 763*T1^9*T2^4 + 18*T1^10*T2^4 + 
     185*T2^5 + 723*T1*T2^5 - 5145*T1^2*T2^5 + 3637*T1^3*T2^5 + 
     7477*T1^4*T2^5 - 10571*T1^5*T2^5 + 6661*T1^6*T2^5 + 3508*T1^7*T2^5 - 
     6173*T1^8*T2^5 + 1497*T1^9*T2^5 + 219*T1^10*T2^5 - 55*T1^11*T2^5 - 
     31*T2^6 - 632*T1*T2^6 + 1796*T1^2*T2^6 + 3456*T1^3*T2^6 - 
     11503*T1^4*T2^6 + 6661*T1^5*T2^6 + 3360*T1^6*T2^6 - 9845*T1^7*T2^6 + 
     6587*T1^8*T2^6 + 720*T1^9*T2^6 - 1552*T1^10*T2^6 + 232*T1^11*T2^6 + 
     17*T1^12*T2^6 + 137*T1*T2^7 + 363*T1^2*T2^7 - 3687*T1^3*T2^7 + 
     4591*T1^4*T2^7 + 3508*T1^5*T2^7 - 9845*T1^6*T2^7 + 7387*T1^7*T2^7 - 
     461*T1^8*T2^7 - 5219*T1^9*T2^7 + 2955*T1^10*T2^7 - 141*T1^11*T2^7 - 
     103*T1^12*T2^7 - 198*T1^2*T2^8 + 533*T1^3*T2^8 + 1388*T1^4*T2^8 - 
     6173*T1^5*T2^8 + 6587*T1^6*T2^8 - 461*T1^7*T2^8 - 4645*T1^8*T2^8 + 
     6499*T1^9*T2^8 - 2284*T1^10*T2^8 - 475*T1^11*T2^8 + 234*T1^12*T2^8 + 
     109*T1^3*T2^9 - 763*T1^4*T2^9 + 1497*T1^5*T2^9 + 720*T1^6*T2^9 - 
     5219*T1^7*T2^9 + 6499*T1^8*T2^9 - 4986*T1^9*T2^9 + 687*T1^10*T2^9 + 
     965*T1^11*T2^9 - 287*T1^12*T2^9 + 18*T1^4*T2^10 + 219*T1^5*T2^10 - 
     1552*T1^6*T2^10 + 2955*T1^7*T2^10 - 2284*T1^8*T2^10 + 687*T1^9*T2^10 + 
     1148*T1^10*T2^10 - 1077*T1^11*T2^10 + 234*T1^12*T2^10 - 55*T1^5*T2^11 + 
     232*T1^6*T2^11 - 141*T1^7*T2^11 - 475*T1^8*T2^11 + 965*T1^9*T2^11 - 
     1077*T1^10*T2^11 + 568*T1^11*T2^11 - 103*T1^12*T2^11 + 17*T1^6*T2^12 - 
     103*T1^7*T2^12 + 234*T1^8*T2^12 - 287*T1^9*T2^12 + 234*T1^10*T2^12 - 
     103*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 538] -> 
  {(1 - 5*T + 10*T^2 - 11*T^3 + 11*T^4 - 11*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 66*T1^3 - 66*T1^4 + 66*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 80*T1^3*T2 + 55*T1^4*T2 - 
     55*T1^5*T2 + 25*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 390*T1^3*T2^2 + 315*T1^4*T2^2 - 
     275*T1^5*T2^2 + 335*T1^6*T2^2 - 510*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 66*T2^3 - 80*T1*T2^3 - 390*T1^2*T2^3 + 
     807*T1^3*T2^3 - 192*T1^4*T2^3 + 153*T1^5*T2^3 - 254*T1^6*T2^3 + 
     330*T1^7*T2^3 + 453*T1^8*T2^3 - 420*T1^9*T2^3 + 35*T1^10*T2^3 + 
     33*T1^11*T2^3 - 66*T2^4 + 55*T1*T2^4 + 315*T1^2*T2^4 - 192*T1^3*T2^4 - 
     893*T1^4*T2^4 + 591*T1^5*T2^4 - 449*T1^6*T2^4 + 437*T1^7*T2^4 - 
     1113*T1^8*T2^4 + 314*T1^9*T2^4 + 205*T1^10*T2^4 - 55*T1^11*T2^4 - 
     22*T1^12*T2^4 + 66*T2^5 - 55*T1*T2^5 - 275*T1^2*T2^5 + 153*T1^3*T2^5 + 
     591*T1^4*T2^5 + 124*T1^5*T2^5 - 134*T1^6*T2^5 + 86*T1^7*T2^5 + 
     454*T1^8*T2^5 + 316*T1^9*T2^5 - 232*T1^10*T2^5 - 110*T1^11*T2^5 + 
     55*T1^12*T2^5 + 11*T1^13*T2^5 - 60*T2^6 + 25*T1*T2^6 + 335*T1^2*T2^6 - 
     254*T1^3*T2^6 - 449*T1^4*T2^6 - 134*T1^5*T2^6 - 63*T1^6*T2^6 + 
     163*T1^7*T2^6 - 623*T1^8*T2^6 + 86*T1^9*T2^6 - 229*T1^10*T2^6 + 
     186*T1^11*T2^6 + 55*T1^12*T2^6 - 55*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     510*T1^2*T2^7 + 330*T1^3*T2^7 + 437*T1^4*T2^7 + 86*T1^5*T2^7 + 
     163*T1^6*T2^7 - 274*T1^7*T2^7 + 454*T1^8*T2^7 + 74*T1^9*T2^7 - 
     134*T1^10*T2^7 + 228*T1^11*T2^7 - 256*T1^12*T2^7 + 60*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     453*T1^3*T2^8 - 1113*T1^4*T2^8 + 454*T1^5*T2^8 - 623*T1^6*T2^8 + 
     454*T1^7*T2^8 - 84*T1^8*T2^8 - 394*T1^9*T2^8 + 355*T1^10*T2^8 - 
     206*T1^11*T2^8 + 115*T1^12*T2^8 + 107*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     420*T1^3*T2^9 + 314*T1^4*T2^9 + 316*T1^5*T2^9 + 86*T1^6*T2^9 + 
     74*T1^7*T2^9 - 394*T1^8*T2^9 + 334*T1^9*T2^9 - 15*T1^10*T2^9 - 
     134*T1^11*T2^9 + 107*T1^12*T2^9 - 272*T1^13*T2^9 + 150*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 35*T1^3*T2^10 + 205*T1^4*T2^10 - 
     232*T1^5*T2^10 - 229*T1^6*T2^10 - 134*T1^7*T2^10 + 355*T1^8*T2^10 - 
     15*T1^9*T2^10 - 205*T1^10*T2^10 + 86*T1^11*T2^10 - 9*T1^12*T2^10 + 
     208*T1^13*T2^10 - 75*T1^14*T2^10 - 45*T1^15*T2^10 + 20*T1^16*T2^10 + 
     33*T1^3*T2^11 - 55*T1^4*T2^11 - 110*T1^5*T2^11 + 186*T1^6*T2^11 + 
     228*T1^7*T2^11 - 206*T1^8*T2^11 - 134*T1^9*T2^11 + 86*T1^10*T2^11 + 
     124*T1^11*T2^11 - 47*T1^12*T2^11 - 199*T1^13*T2^11 + 55*T1^14*T2^11 + 
     55*T1^15*T2^11 - 22*T1^16*T2^11 - 22*T1^4*T2^12 + 55*T1^5*T2^12 + 
     55*T1^6*T2^12 - 256*T1^7*T2^12 + 115*T1^8*T2^12 + 107*T1^9*T2^12 - 
     9*T1^10*T2^12 - 47*T1^11*T2^12 - 105*T1^12*T2^12 + 250*T1^13*T2^12 - 
     55*T1^14*T2^12 - 55*T1^15*T2^12 + 22*T1^16*T2^12 + 11*T1^5*T2^13 - 
     55*T1^6*T2^13 + 60*T1^7*T2^13 + 107*T1^8*T2^13 - 272*T1^9*T2^13 + 
     208*T1^10*T2^13 - 199*T1^11*T2^13 + 250*T1^12*T2^13 - 247*T1^13*T2^13 + 
     30*T1^14*T2^13 + 60*T1^15*T2^13 - 22*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 150*T1^9*T2^14 - 75*T1^10*T2^14 + 55*T1^11*T2^14 - 
     55*T1^12*T2^14 + 30*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 45*T1^10*T2^15 + 
     55*T1^11*T2^15 - 55*T1^12*T2^15 + 60*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 22*T1^11*T2^16 + 22*T1^12*T2^16 - 22*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 539] -> 
  {-((1 - 5*T + 14*T^2 - 27*T^3 + 33*T^4 - 27*T^5 + 14*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 70*T1^2 + 135*T1^3 - 165*T1^4 + 135*T1^5 - 
      70*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 250*T1^2*T2 - 
      395*T1^3*T2 + 285*T1^4*T2 - 15*T1^5*T2 - 190*T1^6*T2 + 155*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 70*T2^2 + 250*T1*T2^2 - 518*T1^2*T2^2 + 
      683*T1^3*T2^2 - 163*T1^4*T2^2 - 322*T1^5*T2^2 + 369*T1^6*T2^2 + 
      67*T1^7*T2^2 - 154*T1^8*T2^2 + 110*T1^9*T2^2 - 42*T1^10*T2^2 + 
      135*T2^3 - 395*T1*T2^3 + 683*T1^2*T2^3 - 667*T1^3*T2^3 - 
      509*T1^4*T2^3 + 727*T1^5*T2^3 - 152*T1^6*T2^3 - 717*T1^7*T2^3 + 
      271*T1^8*T2^3 - 31*T1^9*T2^3 - 60*T1^10*T2^3 + 54*T1^11*T2^3 - 
      165*T2^4 + 285*T1*T2^4 - 163*T1^2*T2^4 - 509*T1^3*T2^4 + 
      2255*T1^4*T2^4 - 1049*T1^5*T2^4 - 489*T1^6*T2^4 + 1177*T1^7*T2^4 + 
      539*T1^8*T2^4 - 563*T1^9*T2^4 + 335*T1^10*T2^4 - 105*T1^11*T2^4 - 
      33*T1^12*T2^4 + 135*T2^5 - 15*T1*T2^5 - 322*T1^2*T2^5 + 727*T1^3*T2^5 - 
      1049*T1^4*T2^5 - 2812*T1^5*T2^5 + 3540*T1^6*T2^5 - 1410*T1^7*T2^5 - 
      2344*T1^8*T2^5 + 1174*T1^9*T2^5 - 290*T1^10*T2^5 - 115*T1^11*T2^5 + 
      165*T1^12*T2^5 - 70*T2^6 - 190*T1*T2^6 + 369*T1^2*T2^6 - 
      152*T1^3*T2^6 - 489*T1^4*T2^6 + 3540*T1^5*T2^6 + 486*T1^6*T2^6 - 
      5498*T1^7*T2^6 + 7254*T1^8*T2^6 - 1776*T1^9*T2^6 - 285*T1^10*T2^6 + 
      520*T1^11*T2^6 - 231*T1^12*T2^6 - 70*T1^13*T2^6 + 14*T1^14*T2^6 + 
      25*T2^7 + 155*T1*T2^7 + 67*T1^2*T2^7 - 717*T1^3*T2^7 + 1177*T1^4*T2^7 - 
      1410*T1^5*T2^7 - 5498*T1^6*T2^7 + 8518*T1^7*T2^7 - 4888*T1^8*T2^7 - 
      2749*T1^9*T2^7 + 2808*T1^10*T2^7 - 1058*T1^11*T2^7 + 107*T1^12*T2^7 + 
      193*T1^13*T2^7 - 20*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 
      154*T1^2*T2^8 + 271*T1^3*T2^8 + 539*T1^4*T2^8 - 2344*T1^5*T2^8 + 
      7254*T1^6*T2^8 - 4888*T1^7*T2^8 - 2592*T1^8*T2^8 + 7476*T1^9*T2^8 - 
      3672*T1^10*T2^8 + 176*T1^11*T2^8 + 439*T1^12*T2^8 - 307*T1^13*T2^8 - 
      8*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      110*T1^2*T2^9 - 31*T1^3*T2^9 - 563*T1^4*T2^9 + 1174*T1^5*T2^9 - 
      1776*T1^6*T2^9 - 2749*T1^7*T2^9 + 7476*T1^8*T2^9 - 5930*T1^9*T2^9 + 
      2442*T1^11*T2^9 - 1061*T1^12*T2^9 + 261*T1^13*T2^9 + 95*T1^14*T2^9 - 
      65*T1^15*T2^9 - 15*T1^16*T2^9 - 42*T1^2*T2^10 - 60*T1^3*T2^10 + 
      335*T1^4*T2^10 - 290*T1^5*T2^10 - 285*T1^6*T2^10 + 2808*T1^7*T2^10 - 
      3672*T1^8*T2^10 + 3096*T1^10*T2^10 - 2508*T1^11*T2^10 - 
      81*T1^12*T2^10 + 382*T1^13*T2^10 - 265*T1^14*T2^10 + 60*T1^15*T2^10 + 
      42*T1^16*T2^10 + 54*T1^3*T2^11 - 105*T1^4*T2^11 - 115*T1^5*T2^11 + 
      520*T1^6*T2^11 - 1058*T1^7*T2^11 + 176*T1^8*T2^11 + 2442*T1^9*T2^11 - 
      2508*T1^10*T2^11 + 644*T1^11*T2^11 + 1165*T1^12*T2^11 - 
      497*T1^13*T2^11 + 92*T1^14*T2^11 + 75*T1^15*T2^11 - 81*T1^16*T2^11 - 
      33*T1^4*T2^12 + 165*T1^5*T2^12 - 231*T1^6*T2^12 + 107*T1^7*T2^12 + 
      439*T1^8*T2^12 - 1061*T1^9*T2^12 - 81*T1^10*T2^12 + 1165*T1^11*T2^12 - 
      1277*T1^12*T2^12 + 53*T1^13*T2^12 + 267*T1^14*T2^12 - 225*T1^15*T2^12 + 
      99*T1^16*T2^12 - 70*T1^6*T2^13 + 193*T1^7*T2^13 - 307*T1^8*T2^13 + 
      261*T1^9*T2^13 + 382*T1^10*T2^13 - 497*T1^11*T2^13 + 53*T1^12*T2^13 + 
      631*T1^13*T2^13 - 521*T1^14*T2^13 + 265*T1^15*T2^13 - 81*T1^16*T2^13 + 
      14*T1^6*T2^14 - 20*T1^7*T2^14 - 8*T1^8*T2^14 + 95*T1^9*T2^14 - 
      265*T1^10*T2^14 + 92*T1^11*T2^14 + 267*T1^12*T2^14 - 521*T1^13*T2^14 + 
      356*T1^14*T2^14 - 160*T1^15*T2^14 + 42*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 65*T1^9*T2^15 + 60*T1^10*T2^15 + 75*T1^11*T2^15 - 
      225*T1^12*T2^15 + 265*T1^13*T2^15 - 160*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 42*T1^10*T2^16 - 
      81*T1^11*T2^16 + 99*T1^12*T2^16 - 81*T1^13*T2^16 + 42*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 540] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-31 + 154*T1 - 322*T1^2 + 383*T1^3 - 322*T1^4 + 154*T1^5 - 31*T1^6 + 
     154*T2 - 652*T1*T2 + 1037*T1^2*T2 - 725*T1^3*T2 + 195*T1^4*T2 + 
     417*T1^5*T2 - 412*T1^6*T2 + 114*T1^7*T2 - 322*T2^2 + 1037*T1*T2^2 - 
     693*T1^2*T2^2 - 1142*T1^3*T2^2 + 2095*T1^4*T2^2 - 2402*T1^5*T2^2 + 
     903*T1^6*T2^2 + 197*T1^7*T2^2 - 154*T1^8*T2^2 + 383*T2^3 - 725*T1*T2^3 - 
     1142*T1^2*T2^3 + 3910*T1^3*T2^3 - 3256*T1^4*T2^3 + 1754*T1^5*T2^3 + 
     1450*T1^6*T2^3 - 1772*T1^7*T2^3 + 355*T1^8*T2^3 + 83*T1^9*T2^3 - 
     322*T2^4 + 195*T1*T2^4 + 2095*T1^2*T2^4 - 3256*T1^3*T2^4 - 
     412*T1^4*T2^4 + 2808*T1^5*T2^4 - 4720*T1^6*T2^4 + 2044*T1^7*T2^4 + 
     623*T1^8*T2^4 - 485*T1^9*T2^4 + 14*T1^10*T2^4 + 154*T2^5 + 417*T1*T2^5 - 
     2402*T1^2*T2^5 + 1754*T1^3*T2^5 + 2808*T1^4*T2^5 - 3491*T1^5*T2^5 + 
     2329*T1^6*T2^5 + 1443*T1^7*T2^5 - 2676*T1^8*T2^5 + 748*T1^9*T2^5 + 
     157*T1^10*T2^5 - 46*T1^11*T2^5 - 31*T2^6 - 412*T1*T2^6 + 903*T1^2*T2^6 + 
     1450*T1^3*T2^6 - 4720*T1^4*T2^6 + 2329*T1^5*T2^6 + 1272*T1^6*T2^6 - 
     3541*T1^7*T2^6 + 2542*T1^8*T2^6 + 430*T1^9*T2^6 - 829*T1^10*T2^6 + 
     148*T1^11*T2^6 + 17*T1^12*T2^6 + 114*T1*T2^7 + 197*T1^2*T2^7 - 
     1772*T1^3*T2^7 + 2044*T1^4*T2^7 + 1443*T1^5*T2^7 - 3541*T1^6*T2^7 + 
     2279*T1^7*T2^7 + 78*T1^8*T2^7 - 2386*T1^9*T2^7 + 1378*T1^10*T2^7 - 
     63*T1^11*T2^7 - 86*T1^12*T2^7 - 154*T1^2*T2^8 + 355*T1^3*T2^8 + 
     623*T1^4*T2^8 - 2676*T1^5*T2^8 + 2542*T1^6*T2^8 + 78*T1^7*T2^8 - 
     1766*T1^8*T2^8 + 2624*T1^9*T2^8 - 849*T1^10*T2^8 - 325*T1^11*T2^8 + 
     182*T1^12*T2^8 + 83*T1^3*T2^9 - 485*T1^4*T2^9 + 748*T1^5*T2^9 + 
     430*T1^6*T2^9 - 2386*T1^7*T2^9 + 2624*T1^8*T2^9 - 2030*T1^9*T2^9 + 
     118*T1^10*T2^9 + 595*T1^11*T2^9 - 217*T1^12*T2^9 + 14*T1^4*T2^10 + 
     157*T1^5*T2^10 - 829*T1^6*T2^10 + 1378*T1^7*T2^10 - 849*T1^8*T2^10 + 
     118*T1^9*T2^10 + 767*T1^10*T2^10 - 683*T1^11*T2^10 + 182*T1^12*T2^10 - 
     46*T1^5*T2^11 + 148*T1^6*T2^11 - 63*T1^7*T2^11 - 325*T1^8*T2^11 + 
     595*T1^9*T2^11 - 683*T1^10*T2^11 + 388*T1^11*T2^11 - 86*T1^12*T2^11 + 
     17*T1^6*T2^12 - 86*T1^7*T2^12 + 182*T1^8*T2^12 - 217*T1^9*T2^12 + 
     182*T1^10*T2^12 - 86*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 541] -> 
  {(2 - 9*T + 19*T^2 - 23*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-15 + 67*T1 - 142*T1^2 + 173*T1^3 - 142*T1^4 + 67*T1^5 - 15*T1^6 + 
     67*T2 - 268*T1*T2 + 495*T1^2*T2 - 479*T1^3*T2 + 277*T1^4*T2 - 
     9*T1^5*T2 - 70*T1^6*T2 + 31*T1^7*T2 - 142*T2^2 + 495*T1*T2^2 - 
     729*T1^2*T2^2 + 328*T1^3*T2^2 + 277*T1^4*T2^2 - 736*T1^5*T2^2 + 
     563*T1^6*T2^2 - 189*T1^7*T2^2 + 10*T1^8*T2^2 + 173*T2^3 - 479*T1*T2^3 + 
     328*T1^2*T2^3 + 801*T1^3*T2^3 - 1669*T1^4*T2^3 + 1649*T1^5*T2^3 - 
     537*T1^6*T2^3 - 413*T1^7*T2^3 + 421*T1^8*T2^3 - 103*T1^9*T2^3 - 
     142*T2^4 + 277*T1*T2^4 + 277*T1^2*T2^4 - 1669*T1^3*T2^4 + 
     1858*T1^4*T2^4 - 466*T1^5*T2^4 - 1354*T1^6*T2^4 + 1873*T1^7*T2^4 - 
     561*T1^8*T2^4 - 263*T1^9*T2^4 + 162*T1^10*T2^4 + 67*T2^5 - 9*T1*T2^5 - 
     736*T1^2*T2^5 + 1649*T1^3*T2^5 - 466*T1^4*T2^5 - 2072*T1^5*T2^5 + 
     2908*T1^6*T2^5 - 1587*T1^7*T2^5 - 1221*T1^8*T2^5 + 1297*T1^9*T2^5 - 
     225*T1^10*T2^5 - 113*T1^11*T2^5 - 15*T2^6 - 70*T1*T2^6 + 563*T1^2*T2^6 - 
     537*T1^3*T2^6 - 1354*T1^4*T2^6 + 2908*T1^5*T2^6 - 780*T1^6*T2^6 - 
     1908*T1^7*T2^6 + 3924*T1^8*T2^6 - 1431*T1^9*T2^6 - 453*T1^10*T2^6 + 
     362*T1^11*T2^6 + 33*T1^12*T2^6 + 31*T1*T2^7 - 189*T1^2*T2^7 - 
     413*T1^3*T2^7 + 1873*T1^4*T2^7 - 1587*T1^5*T2^7 - 1908*T1^6*T2^7 + 
     3072*T1^7*T2^7 - 2708*T1^8*T2^7 - 997*T1^9*T2^7 + 1620*T1^10*T2^7 - 
     405*T1^11*T2^7 - 149*T1^12*T2^7 + 10*T1^2*T2^8 + 421*T1^3*T2^8 - 
     561*T1^4*T2^8 - 1221*T1^5*T2^8 + 3924*T1^6*T2^8 - 2708*T1^7*T2^8 + 
     712*T1^8*T2^8 + 2321*T1^9*T2^8 - 1399*T1^10*T2^8 - 119*T1^11*T2^8 + 
     314*T1^12*T2^8 - 103*T1^3*T2^9 - 263*T1^4*T2^9 + 1297*T1^5*T2^9 - 
     1431*T1^6*T2^9 - 997*T1^7*T2^9 + 2321*T1^8*T2^9 - 2769*T1^9*T2^9 + 
     556*T1^10*T2^9 + 637*T1^11*T2^9 - 379*T1^12*T2^9 + 162*T1^4*T2^10 - 
     225*T1^5*T2^10 - 453*T1^6*T2^10 + 1620*T1^7*T2^10 - 1399*T1^8*T2^10 + 
     556*T1^9*T2^10 + 839*T1^10*T2^10 - 909*T1^11*T2^10 + 314*T1^12*T2^10 - 
     113*T1^5*T2^11 + 362*T1^6*T2^11 - 405*T1^7*T2^11 - 119*T1^8*T2^11 + 
     637*T1^9*T2^11 - 909*T1^10*T2^11 + 560*T1^11*T2^11 - 149*T1^12*T2^11 + 
     33*T1^6*T2^12 - 149*T1^7*T2^12 + 314*T1^8*T2^12 - 379*T1^9*T2^12 + 
     314*T1^10*T2^12 - 149*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 542] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (-2 + 18*T1 - 56*T1^2 + 78*T1^3 - 56*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 423*T1^2*T2 - 450*T1^3*T2 + 153*T1^4*T2 + 90*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 56*T2^2 + 423*T1*T2^2 - 827*T1^2*T2^2 - 
     139*T1^3*T2^2 + 1677*T1^4*T2^2 - 1819*T1^5*T2^2 + 685*T1^6*T2^2 - 
     81*T1^7*T2^2 + 78*T2^3 - 450*T1*T2^3 - 139*T1^2*T2^3 + 4177*T1^3*T2^3 - 
     7439*T1^4*T2^3 + 5116*T1^5*T2^3 - 467*T1^6*T2^3 - 895*T1^7*T2^3 + 
     351*T1^8*T2^3 - 39*T1^9*T2^3 - 56*T2^4 + 153*T1*T2^4 + 1677*T1^2*T2^4 - 
     7439*T1^3*T2^4 + 8549*T1^4*T2^4 + 1033*T1^5*T2^4 - 9487*T1^6*T2^4 + 
     7147*T1^7*T2^4 - 1505*T1^8*T2^4 - 153*T1^9*T2^4 + 56*T1^10*T2^4 + 
     18*T2^5 + 90*T1*T2^5 - 1819*T1^2*T2^5 + 5116*T1^3*T2^5 + 
     1033*T1^4*T2^5 - 19963*T1^5*T2^5 + 25679*T1^6*T2^5 - 10391*T1^7*T2^5 - 
     3377*T1^8*T2^5 + 2633*T1^9*T2^5 - 261*T1^10*T2^5 - 27*T1^11*T2^5 - 
     2*T2^6 - 63*T1*T2^6 + 685*T1^2*T2^6 - 467*T1^3*T2^6 - 9487*T1^4*T2^6 + 
     25679*T1^5*T2^6 - 14904*T1^6*T2^6 - 12667*T1^7*T2^6 + 20381*T1^8*T2^6 - 
     5741*T1^9*T2^6 - 495*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 
     9*T1*T2^7 - 81*T1^2*T2^7 - 895*T1^3*T2^7 + 7147*T1^4*T2^7 - 
     10391*T1^5*T2^7 - 12667*T1^6*T2^7 + 32975*T1^7*T2^7 - 21815*T1^8*T2^7 - 
     1346*T1^9*T2^7 + 3557*T1^10*T2^7 - 432*T1^11*T2^7 - 36*T1^12*T2^7 + 
     351*T1^3*T2^8 - 1505*T1^4*T2^8 - 3377*T1^5*T2^8 + 20381*T1^6*T2^8 - 
     21815*T1^7*T2^8 + 2345*T1^8*T2^8 + 11209*T1^9*T2^8 - 4687*T1^10*T2^8 + 
     45*T1^11*T2^8 + 112*T1^12*T2^8 - 39*T1^3*T2^9 - 153*T1^4*T2^9 + 
     2633*T1^5*T2^9 - 5741*T1^6*T2^9 - 1346*T1^7*T2^9 + 11209*T1^8*T2^9 - 
     10385*T1^9*T2^9 + 1877*T1^10*T2^9 + 648*T1^11*T2^9 - 156*T1^12*T2^9 + 
     56*T1^4*T2^10 - 261*T1^5*T2^10 - 495*T1^6*T2^10 + 3557*T1^7*T2^10 - 
     4687*T1^8*T2^10 + 1877*T1^9*T2^10 + 1017*T1^10*T2^10 - 765*T1^11*T2^10 + 
     112*T1^12*T2^10 - 27*T1^5*T2^11 + 207*T1^6*T2^11 - 432*T1^7*T2^11 + 
     45*T1^8*T2^11 + 648*T1^9*T2^11 - 765*T1^10*T2^11 + 297*T1^11*T2^11 - 
     36*T1^12*T2^11 + 4*T1^6*T2^12 - 36*T1^7*T2^12 + 112*T1^8*T2^12 - 
     156*T1^9*T2^12 + 112*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 543] -> 
  {(1 - 5*T + 15*T^2 - 21*T^3 + 15*T^4 - 5*T^5 + T^6)/T^3, 
   (-2 + 10*T1 - 30*T1^2 + 42*T1^3 - 30*T1^4 + 10*T1^5 - 2*T1^6 + 10*T2 - 
     45*T1*T2 + 121*T1^2*T2 - 132*T1^3*T2 + 48*T1^4*T2 + 21*T1^5*T2 - 
     15*T1^6*T2 + 5*T1^7*T2 - 30*T2^2 + 121*T1*T2^2 - 258*T1^2*T2^2 + 
     135*T1^3*T2^2 + 216*T1^4*T2^2 - 345*T1^5*T2^2 + 162*T1^6*T2^2 - 
     29*T1^7*T2^2 + 42*T2^3 - 132*T1*T2^3 + 135*T1^2*T2^3 + 326*T1^3*T2^3 - 
     890*T1^4*T2^3 + 550*T1^5*T2^3 + 212*T1^6*T2^3 - 360*T1^7*T2^3 + 
     108*T1^8*T2^3 - 21*T1^9*T2^3 - 30*T2^4 + 48*T1*T2^4 + 216*T1^2*T2^4 - 
     890*T1^3*T2^4 + 1409*T1^4*T2^4 - 145*T1^5*T2^4 - 1111*T1^6*T2^4 + 
     790*T1^7*T2^4 + 66*T1^8*T2^4 - 42*T1^9*T2^4 + 30*T1^10*T2^4 + 10*T2^5 + 
     21*T1*T2^5 - 345*T1^2*T2^5 + 550*T1^3*T2^5 - 145*T1^4*T2^5 - 
     2897*T1^5*T2^5 + 4093*T1^6*T2^5 - 1870*T1^7*T2^5 - 410*T1^8*T2^5 + 
     90*T1^9*T2^5 - 79*T1^10*T2^5 - 15*T1^11*T2^5 - 2*T2^6 - 15*T1*T2^6 + 
     162*T1^2*T2^6 + 212*T1^3*T2^6 - 1111*T1^4*T2^6 + 4093*T1^5*T2^6 - 
     2712*T1^6*T2^6 - 1737*T1^7*T2^6 + 3179*T1^8*T2^6 - 664*T1^9*T2^6 + 
     202*T1^10*T2^6 + 55*T1^11*T2^6 + 4*T1^12*T2^6 + 5*T1*T2^7 - 
     29*T1^2*T2^7 - 360*T1^3*T2^7 + 790*T1^4*T2^7 - 1870*T1^5*T2^7 - 
     1737*T1^6*T2^7 + 5253*T1^7*T2^7 - 3595*T1^8*T2^7 - 170*T1^9*T2^7 + 
     75*T1^10*T2^7 - 129*T1^11*T2^7 - 20*T1^12*T2^7 + 108*T1^3*T2^8 + 
     66*T1^4*T2^8 - 410*T1^5*T2^8 + 3179*T1^6*T2^8 - 3595*T1^7*T2^8 + 
     659*T1^8*T2^8 + 1270*T1^9*T2^8 - 84*T1^10*T2^8 + 18*T1^11*T2^8 + 
     60*T1^12*T2^8 - 21*T1^3*T2^9 - 42*T1^4*T2^9 + 90*T1^5*T2^9 - 
     664*T1^6*T2^9 - 170*T1^7*T2^9 + 1270*T1^8*T2^9 - 778*T1^9*T2^9 - 
     405*T1^10*T2^9 + 198*T1^11*T2^9 - 84*T1^12*T2^9 + 30*T1^4*T2^10 - 
     79*T1^5*T2^10 + 202*T1^6*T2^10 + 75*T1^7*T2^10 - 84*T1^8*T2^10 - 
     405*T1^9*T2^10 + 622*T1^10*T2^10 - 229*T1^11*T2^10 + 60*T1^12*T2^10 - 
     15*T1^5*T2^11 + 55*T1^6*T2^11 - 129*T1^7*T2^11 + 18*T1^8*T2^11 + 
     198*T1^9*T2^11 - 229*T1^10*T2^11 + 85*T1^11*T2^11 - 20*T1^12*T2^11 + 
     4*T1^6*T2^12 - 20*T1^7*T2^12 + 60*T1^8*T2^12 - 84*T1^9*T2^12 + 
     60*T1^10*T2^12 - 20*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 544] -> 
  {(2 - 12*T + 28*T^2 - 35*T^3 + 28*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 456*T1^2 + 567*T1^3 - 456*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1030*T1*T2 + 1845*T1^2*T2 - 1343*T1^3*T2 + 169*T1^4*T2 + 
     885*T1^5*T2 - 694*T1^6*T2 + 149*T1^7*T2 - 456*T2^2 + 1845*T1*T2^2 - 
     1262*T1^2*T2^2 - 3052*T1^3*T2^2 + 5826*T1^4*T2^2 - 5628*T1^5*T2^2 + 
     1650*T1^6*T2^2 + 501*T1^7*T2^2 - 232*T1^8*T2^2 + 567*T2^3 - 
     1343*T1*T2^3 - 3052*T1^2*T2^3 + 10690*T1^3*T2^3 - 9484*T1^4*T2^3 + 
     3284*T1^5*T2^3 + 5020*T1^6*T2^3 - 4228*T1^7*T2^3 + 505*T1^8*T2^3 + 
     147*T1^9*T2^3 - 456*T2^4 + 169*T1*T2^4 + 5826*T1^2*T2^4 - 
     9484*T1^3*T2^4 - 1338*T1^4*T2^4 + 10908*T1^5*T2^4 - 14834*T1^6*T2^4 + 
     4516*T1^7*T2^4 + 2018*T1^8*T2^4 - 839*T1^9*T2^4 - 8*T1^10*T2^4 + 
     197*T2^5 + 885*T1*T2^5 - 5628*T1^2*T2^5 + 3284*T1^3*T2^5 + 
     10908*T1^4*T2^5 - 14410*T1^5*T2^5 + 8690*T1^6*T2^5 + 5644*T1^7*T2^5 - 
     7020*T1^8*T2^5 + 1148*T1^9*T2^5 + 309*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 694*T1*T2^6 + 1650*T1^2*T2^6 + 5020*T1^3*T2^6 - 
     14834*T1^4*T2^6 + 8690*T1^5*T2^6 + 3252*T1^6*T2^6 - 12686*T1^7*T2^6 + 
     6446*T1^8*T2^6 + 1492*T1^9*T2^6 - 1454*T1^10*T2^6 + 170*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 501*T1^2*T2^7 - 4228*T1^3*T2^7 + 
     4516*T1^4*T2^7 + 5644*T1^5*T2^7 - 12686*T1^6*T2^7 + 10414*T1^7*T2^7 + 
     380*T1^8*T2^7 - 5788*T1^9*T2^7 + 2548*T1^10*T2^7 - 75*T1^11*T2^7 - 
     91*T1^12*T2^7 - 232*T1^2*T2^8 + 505*T1^3*T2^8 + 2018*T1^4*T2^8 - 
     7020*T1^5*T2^8 + 6446*T1^6*T2^8 + 380*T1^7*T2^8 - 7050*T1^8*T2^8 + 
     6980*T1^9*T2^8 - 1790*T1^10*T2^8 - 503*T1^11*T2^8 + 216*T1^12*T2^8 + 
     147*T1^3*T2^9 - 839*T1^4*T2^9 + 1148*T1^5*T2^9 + 1492*T1^6*T2^9 - 
     5788*T1^7*T2^9 + 6980*T1^8*T2^9 - 4178*T1^9*T2^9 - 28*T1^10*T2^9 + 
     1009*T1^11*T2^9 - 273*T1^12*T2^9 - 8*T1^4*T2^10 + 309*T1^5*T2^10 - 
     1454*T1^6*T2^10 + 2548*T1^7*T2^10 - 1790*T1^8*T2^10 - 28*T1^9*T2^10 + 
     1458*T1^10*T2^10 - 1035*T1^11*T2^10 + 216*T1^12*T2^10 - 43*T1^5*T2^11 + 
     170*T1^6*T2^11 - 75*T1^7*T2^11 - 503*T1^8*T2^11 + 1009*T1^9*T2^11 - 
     1035*T1^10*T2^11 + 506*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 216*T1^8*T2^12 - 273*T1^9*T2^12 + 216*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 545] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-41 + 204*T1 - 386*T1^2 + 467*T1^3 - 386*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 852*T1*T2 + 1109*T1^2*T2 - 785*T1^3*T2 + 55*T1^4*T2 + 
      529*T1^5*T2 - 612*T1^6*T2 + 164*T1^7*T2 - 386*T2^2 + 1109*T1*T2^2 + 
      151*T1^2*T2^2 - 2068*T1^3*T2^2 + 3407*T1^4*T2^2 - 3056*T1^5*T2^2 + 
      1443*T1^6*T2^2 + 349*T1^7*T2^2 - 234*T1^8*T2^2 + 467*T2^3 - 
      785*T1*T2^3 - 2068*T1^2*T2^3 + 3682*T1^3*T2^3 - 3246*T1^4*T2^3 + 
      732*T1^5*T2^3 + 1622*T1^6*T2^3 - 2410*T1^7*T2^3 + 215*T1^8*T2^3 + 
      191*T1^9*T2^3 - 386*T2^4 + 55*T1*T2^4 + 3407*T1^2*T2^4 - 
      3246*T1^3*T2^4 + 1098*T1^4*T2^4 + 1668*T1^5*T2^4 - 2298*T1^6*T2^4 + 
      1078*T1^7*T2^4 + 1695*T1^8*T2^4 - 545*T1^9*T2^4 - 82*T1^10*T2^4 + 
      204*T2^5 + 529*T1*T2^5 - 3056*T1^2*T2^5 + 732*T1^3*T2^5 + 
      1668*T1^4*T2^5 - 2441*T1^5*T2^5 + 583*T1^6*T2^5 + 1345*T1^7*T2^5 - 
      2554*T1^8*T2^5 - 130*T1^9*T2^5 + 389*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 612*T1*T2^6 + 1443*T1^2*T2^6 + 1622*T1^3*T2^6 - 
      2298*T1^4*T2^6 + 583*T1^5*T2^6 + 1848*T1^6*T2^6 - 2243*T1^7*T2^6 + 
      1232*T1^8*T2^6 + 1450*T1^9*T2^6 - 657*T1^10*T2^6 - 52*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 349*T1^2*T2^7 - 2410*T1^3*T2^7 + 
      1078*T1^4*T2^7 + 1345*T1^5*T2^7 - 2243*T1^6*T2^7 + 781*T1^7*T2^7 + 
      1022*T1^8*T2^7 - 2208*T1^9*T2^7 + 516*T1^10*T2^7 + 209*T1^11*T2^7 - 
      36*T1^12*T2^7 - 234*T1^2*T2^8 + 215*T1^3*T2^8 + 1695*T1^4*T2^8 - 
      2554*T1^5*T2^8 + 1232*T1^6*T2^8 + 1022*T1^7*T2^8 - 2164*T1^8*T2^8 + 
      1770*T1^9*T2^8 - 17*T1^10*T2^8 - 385*T1^11*T2^8 + 70*T1^12*T2^8 + 
      191*T1^3*T2^9 - 545*T1^4*T2^9 - 130*T1^5*T2^9 + 1450*T1^6*T2^9 - 
      2208*T1^7*T2^9 + 1770*T1^8*T2^9 - 610*T1^9*T2^9 - 472*T1^10*T2^9 + 
      455*T1^11*T2^9 - 85*T1^12*T2^9 - 82*T1^4*T2^10 + 389*T1^5*T2^10 - 
      657*T1^6*T2^10 + 516*T1^7*T2^10 - 17*T1^8*T2^10 - 472*T1^9*T2^10 + 
      635*T1^10*T2^10 - 371*T1^11*T2^10 + 70*T1^12*T2^10 + 4*T1^5*T2^11 - 
      52*T1^6*T2^11 + 209*T1^7*T2^11 - 385*T1^8*T2^11 + 455*T1^9*T2^11 - 
      371*T1^10*T2^11 + 188*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 70*T1^8*T2^12 - 85*T1^9*T2^12 + 70*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 546] -> 
  {(2 - 8*T + 14*T^2 - 15*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 59*T1 - 103*T1^2 + 111*T1^3 - 103*T1^4 + 59*T1^5 - 15*T1^6 + 
     59*T2 - 206*T1*T2 + 302*T1^2*T2 - 256*T1^3*T2 + 208*T1^4*T2 - 
     50*T1^5*T2 - 46*T1^6*T2 + 27*T1^7*T2 - 103*T2^2 + 302*T1*T2^2 - 
     296*T1^2*T2^2 + 34*T1^3*T2^2 + 98*T1^4*T2^2 - 358*T1^5*T2^2 + 
     376*T1^6*T2^2 - 146*T1^7*T2^2 + 9*T1^8*T2^2 + 111*T2^3 - 256*T1*T2^3 + 
     34*T1^2*T2^3 + 450*T1^3*T2^3 - 552*T1^4*T2^3 + 716*T1^5*T2^3 - 
     484*T1^6*T2^3 - 106*T1^7*T2^3 + 240*T1^8*T2^3 - 69*T1^9*T2^3 - 
     103*T2^4 + 208*T1*T2^4 + 98*T1^2*T2^4 - 552*T1^3*T2^4 + 405*T1^4*T2^4 - 
     405*T1^5*T2^4 + 69*T1^6*T2^4 + 648*T1^7*T2^4 - 254*T1^8*T2^4 - 
     208*T1^9*T2^4 + 121*T1^10*T2^4 + 59*T2^5 - 50*T1*T2^5 - 358*T1^2*T2^5 + 
     716*T1^3*T2^5 - 405*T1^4*T2^5 + 384*T1^5*T2^5 - 118*T1^6*T2^5 - 
     433*T1^7*T2^5 - 688*T1^8*T2^5 + 790*T1^9*T2^5 - 82*T1^10*T2^5 - 
     101*T1^11*T2^5 - 15*T2^6 - 46*T1*T2^6 + 376*T1^2*T2^6 - 484*T1^3*T2^6 + 
     69*T1^4*T2^6 - 118*T1^5*T2^6 + 228*T1^6*T2^6 + 18*T1^7*T2^6 + 
     1269*T1^8*T2^6 - 396*T1^9*T2^6 - 552*T1^10*T2^6 + 274*T1^11*T2^6 + 
     33*T1^12*T2^6 + 27*T1*T2^7 - 146*T1^2*T2^7 - 106*T1^3*T2^7 + 
     648*T1^4*T2^7 - 433*T1^5*T2^7 + 18*T1^6*T2^7 - 484*T1^7*T2^7 - 
     461*T1^8*T2^7 - 756*T1^9*T2^7 + 1042*T1^10*T2^7 - 178*T1^11*T2^7 - 
     133*T1^12*T2^7 + 9*T1^2*T2^8 + 240*T1^3*T2^8 - 254*T1^4*T2^8 - 
     688*T1^5*T2^8 + 1269*T1^6*T2^8 - 461*T1^7*T2^8 + 933*T1^8*T2^8 + 
     512*T1^9*T2^8 - 606*T1^10*T2^8 - 176*T1^11*T2^8 + 233*T1^12*T2^8 - 
     69*T1^3*T2^9 - 208*T1^4*T2^9 + 790*T1^5*T2^9 - 396*T1^6*T2^9 - 
     756*T1^7*T2^9 + 512*T1^8*T2^9 - 1330*T1^9*T2^9 + 650*T1^10*T2^9 + 
     288*T1^11*T2^9 - 249*T1^12*T2^9 + 121*T1^4*T2^10 - 82*T1^5*T2^10 - 
     552*T1^6*T2^10 + 1042*T1^7*T2^10 - 606*T1^8*T2^10 + 650*T1^9*T2^10 + 
     120*T1^10*T2^10 - 530*T1^11*T2^10 + 233*T1^12*T2^10 - 101*T1^5*T2^11 + 
     274*T1^6*T2^11 - 178*T1^7*T2^11 - 176*T1^8*T2^11 + 288*T1^9*T2^11 - 
     530*T1^10*T2^11 + 434*T1^11*T2^11 - 133*T1^12*T2^11 + 33*T1^6*T2^12 - 
     133*T1^7*T2^12 + 233*T1^8*T2^12 - 249*T1^9*T2^12 + 233*T1^10*T2^12 - 
     133*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 547] -> {(4 - 17*T + 27*T^2 - 17*T^3 + 4*T^4)/T^2, 
   (-112 + 468*T1 - 736*T1^2 + 468*T1^3 - 112*T1^4 + 468*T2 - 1762*T1*T2 + 
     2276*T1^2*T2 - 716*T1^3*T2 - 334*T1^4*T2 + 196*T1^5*T2 - 736*T2^2 + 
     2276*T1*T2^2 - 1413*T1^2*T2^2 - 2615*T1^3*T2^2 + 3555*T1^4*T2^2 - 
     1396*T1^5*T2^2 + 128*T1^6*T2^2 + 468*T2^3 - 716*T1*T2^3 - 
     2615*T1^2*T2^3 + 8279*T1^3*T2^3 - 7633*T1^4*T2^3 + 1516*T1^5*T2^3 + 
     916*T1^6*T2^3 - 348*T1^7*T2^3 - 112*T2^4 - 334*T1*T2^4 + 
     3555*T1^2*T2^4 - 7633*T1^3*T2^4 + 4308*T1^4*T2^4 + 4573*T1^5*T2^4 - 
     4543*T1^6*T2^4 + 890*T1^7*T2^4 + 144*T1^8*T2^4 + 196*T1*T2^5 - 
     1396*T1^2*T2^5 + 1516*T1^3*T2^5 + 4573*T1^4*T2^5 - 11339*T1^5*T2^5 + 
     5647*T1^6*T2^5 + 236*T1^7*T2^5 - 620*T1^8*T2^5 + 128*T1^2*T2^6 + 
     916*T1^3*T2^6 - 4543*T1^4*T2^6 + 5647*T1^5*T2^6 + 425*T1^6*T2^6 - 
     2756*T1^7*T2^6 + 992*T1^8*T2^6 - 348*T1^3*T2^7 + 890*T1^4*T2^7 + 
     236*T1^5*T2^7 - 2756*T1^6*T2^7 + 2318*T1^7*T2^7 - 620*T1^8*T2^7 + 
     144*T1^4*T2^8 - 620*T1^5*T2^8 + 992*T1^6*T2^8 - 620*T1^7*T2^8 + 
     144*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 548] -> 
  {-((1 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 60*T1^2 + 81*T1^3 - 60*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 354*T1^2*T2 - 329*T1^3*T2 + 47*T1^4*T2 + 130*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 60*T2^2 + 354*T1*T2^2 - 234*T1^2*T2^2 - 
      708*T1^3*T2^2 + 1760*T1^4*T2^2 - 1468*T1^5*T2^2 + 526*T1^6*T2^2 + 
      34*T1^7*T2^2 - 20*T1^8*T2^2 + 81*T2^3 - 329*T1*T2^3 - 708*T1^2*T2^3 + 
      2873*T1^3*T2^3 - 3773*T1^4*T2^3 + 1479*T1^5*T2^3 + 661*T1^6*T2^3 - 
      888*T1^7*T2^3 + 159*T1^8*T2^3 - 60*T2^4 + 47*T1*T2^4 + 1760*T1^2*T2^4 - 
      3773*T1^3*T2^4 + 2292*T1^4*T2^4 + 2646*T1^5*T2^4 - 4396*T1^6*T2^4 + 
      2275*T1^7*T2^4 - 96*T1^8*T2^4 - 161*T1^9*T2^4 + 20*T1^10*T2^4 + 
      24*T2^5 + 130*T1*T2^5 - 1468*T1^2*T2^5 + 1479*T1^3*T2^5 + 
      2646*T1^4*T2^5 - 7114*T1^5*T2^5 + 5186*T1^6*T2^5 + 166*T1^7*T2^5 - 
      2181*T1^8*T2^5 + 1032*T1^9*T2^5 - 30*T1^10*T2^5 - 16*T1^11*T2^5 - 
      3*T2^6 - 104*T1*T2^6 + 526*T1^2*T2^6 + 661*T1^3*T2^6 - 4396*T1^4*T2^6 + 
      5186*T1^5*T2^6 - 84*T1^6*T2^6 - 5198*T1^7*T2^6 + 4012*T1^8*T2^6 - 
      781*T1^9*T2^6 - 602*T1^10*T2^6 + 104*T1^11*T2^6 + 3*T1^12*T2^6 + 
      16*T1*T2^7 + 34*T1^2*T2^7 - 888*T1^3*T2^7 + 2275*T1^4*T2^7 + 
      166*T1^5*T2^7 - 5198*T1^6*T2^7 + 7102*T1^7*T2^7 - 2314*T1^8*T2^7 - 
      1385*T1^9*T2^7 + 1612*T1^10*T2^7 - 126*T1^11*T2^7 - 24*T1^12*T2^7 - 
      20*T1^2*T2^8 + 159*T1^3*T2^8 - 96*T1^4*T2^8 - 2181*T1^5*T2^8 + 
      4012*T1^6*T2^8 - 2314*T1^7*T2^8 - 2676*T1^8*T2^8 + 3867*T1^9*T2^8 - 
      1952*T1^10*T2^8 - 49*T1^11*T2^8 + 60*T1^12*T2^8 - 161*T1^4*T2^9 + 
      1032*T1^5*T2^9 - 781*T1^6*T2^9 - 1385*T1^7*T2^9 + 3867*T1^8*T2^9 - 
      2993*T1^9*T2^9 + 852*T1^10*T2^9 + 327*T1^11*T2^9 - 81*T1^12*T2^9 + 
      20*T1^4*T2^10 - 30*T1^5*T2^10 - 602*T1^6*T2^10 + 1612*T1^7*T2^10 - 
      1952*T1^8*T2^10 + 852*T1^9*T2^10 + 158*T1^10*T2^10 - 350*T1^11*T2^10 + 
      60*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 126*T1^7*T2^11 - 
      49*T1^8*T2^11 + 327*T1^9*T2^11 - 350*T1^10*T2^11 + 176*T1^11*T2^11 - 
      24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 60*T1^8*T2^12 - 
      81*T1^9*T2^12 + 60*T1^10*T2^12 - 24*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 549] -> 
  {(1 - T + T^2)^3/T^3, ((1 - T1 + T1^2)*(1 - T2 + T2^2)*
     (1 - T1*T2 + T1^2*T2^2)*(-4 + 8*T1 - 12*T1^2 + 8*T1^3 - 4*T1^4 + 8*T2 - 
      13*T1*T2 + 15*T1^2*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 12*T2^2 + 15*T1*T2^2 - 
      34*T1^2*T2^2 + 25*T1^3*T2^2 - 16*T1^4*T2^2 - 3*T1^5*T2^2 - 
      3*T1^6*T2^2 + 8*T2^3 + 25*T1^2*T2^3 + 2*T1^3*T2^3 - 16*T1^4*T2^3 + 
      25*T1^5*T2^3 + 9*T1^6*T2^3 - T1^7*T2^3 - 4*T2^4 - 4*T1*T2^4 - 
      16*T1^2*T2^4 - 16*T1^3*T2^4 + 12*T1^4*T2^4 - 4*T1^5*T2^4 - 
      22*T1^6*T2^4 - 4*T1^7*T2^4 + 2*T1^8*T2^4 + 5*T1*T2^5 - 3*T1^2*T2^5 + 
      25*T1^3*T2^5 - 4*T1^4*T2^5 - 22*T1^5*T2^5 + 25*T1^6*T2^5 + 
      6*T1^7*T2^5 - 4*T1^8*T2^5 - 3*T1^2*T2^6 + 9*T1^3*T2^6 - 22*T1^4*T2^6 + 
      25*T1^5*T2^6 - 4*T1^6*T2^6 - 9*T1^7*T2^6 + 6*T1^8*T2^6 - T1^3*T2^7 - 
      4*T1^4*T2^7 + 6*T1^5*T2^7 - 9*T1^6*T2^7 + 5*T1^7*T2^7 - 4*T1^8*T2^7 + 
      2*T1^4*T2^8 - 4*T1^5*T2^8 + 6*T1^6*T2^8 - 4*T1^7*T2^8 + 2*T1^8*T2^8))/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 550] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-13 + 51*T1 - 81*T1^2 + 51*T1^3 - 13*T1^4 + 51*T2 - 180*T1*T2 + 
     244*T1^2*T2 - 92*T1^3*T2 - 20*T1^4*T2 + 19*T1^5*T2 - 81*T2^2 + 
     244*T1*T2^2 - 192*T1^2*T2^2 - 202*T1^3*T2^2 + 380*T1^4*T2^2 - 
     172*T1^5*T2^2 + 23*T1^6*T2^2 + 51*T2^3 - 92*T1*T2^3 - 202*T1^2*T2^3 + 
     766*T1^3*T2^3 - 938*T1^4*T2^3 + 214*T1^5*T2^3 + 84*T1^6*T2^3 - 
     45*T1^7*T2^3 - 13*T2^4 - 20*T1*T2^4 + 380*T1^2*T2^4 - 938*T1^3*T2^4 + 
     936*T1^4*T2^4 + 342*T1^5*T2^4 - 436*T1^6*T2^4 + 108*T1^7*T2^4 + 
     19*T1^8*T2^4 + 19*T1*T2^5 - 172*T1^2*T2^5 + 214*T1^3*T2^5 + 
     342*T1^4*T2^5 - 1362*T1^5*T2^5 + 630*T1^6*T2^5 + 4*T1^7*T2^5 - 
     77*T1^8*T2^5 + 23*T1^2*T2^6 + 84*T1^3*T2^6 - 436*T1^4*T2^6 + 
     630*T1^5*T2^6 + 136*T1^6*T2^6 - 332*T1^7*T2^6 + 127*T1^8*T2^6 - 
     45*T1^3*T2^7 + 108*T1^4*T2^7 + 4*T1^5*T2^7 - 332*T1^6*T2^7 + 
     268*T1^7*T2^7 - 77*T1^8*T2^7 + 19*T1^4*T2^8 - 77*T1^5*T2^8 + 
     127*T1^6*T2^8 - 77*T1^7*T2^8 + 19*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 551] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 593*T1 - 1041*T1^2 + 1220*T1^3 - 1041*T1^4 + 593*T1^5 - 
      138*T1^6 + 593*T2 - 2075*T1*T2 + 2438*T1^2*T2 - 1668*T1^3*T2 + 
      282*T1^4*T2 + 1034*T1^5*T2 - 1451*T1^6*T2 + 476*T1^7*T2 - 1041*T2^2 + 
      2438*T1*T2^2 + 299*T1^2*T2^2 - 3623*T1^3*T2^2 + 5671*T1^4*T2^2 - 
      5555*T1^5*T2^2 + 3059*T1^6*T2^2 + 644*T1^7*T2^2 - 627*T1^8*T2^2 + 
      1220*T2^3 - 1668*T1*T2^3 - 3623*T1^2*T2^3 + 5682*T1^3*T2^3 - 
      4655*T1^4*T2^3 + 1547*T1^5*T2^3 + 2208*T1^6*T2^3 - 4428*T1^7*T2^3 + 
      594*T1^8*T2^3 + 491*T1^9*T2^3 - 1041*T2^4 + 282*T1*T2^4 + 
      5671*T1^2*T2^4 - 4655*T1^3*T2^4 + 1512*T1^4*T2^4 + 1456*T1^5*T2^4 - 
      2796*T1^6*T2^4 + 1933*T1^7*T2^4 + 2893*T1^8*T2^4 - 1200*T1^9*T2^4 - 
      213*T1^10*T2^4 + 593*T2^5 + 1034*T1*T2^5 - 5555*T1^2*T2^5 + 
      1547*T1^3*T2^5 + 1456*T1^4*T2^5 - 1715*T1^5*T2^5 + 163*T1^6*T2^5 + 
      1525*T1^7*T2^5 - 3883*T1^8*T2^5 - 242*T1^9*T2^5 + 878*T1^10*T2^5 + 
      8*T1^11*T2^5 - 138*T2^6 - 1451*T1*T2^6 + 3059*T1^2*T2^6 + 
      2208*T1^3*T2^6 - 2796*T1^4*T2^6 + 163*T1^5*T2^6 + 1812*T1^6*T2^6 - 
      1831*T1^7*T2^6 + 1354*T1^8*T2^6 + 2544*T1^9*T2^6 - 1313*T1^10*T2^6 - 
      125*T1^11*T2^6 + 24*T1^12*T2^6 + 476*T1*T2^7 + 644*T1^2*T2^7 - 
      4428*T1^3*T2^7 + 1933*T1^4*T2^7 + 1525*T1^5*T2^7 - 1831*T1^6*T2^7 + 
      47*T1^7*T2^7 + 1594*T1^8*T2^7 - 3497*T1^9*T2^7 + 885*T1^10*T2^7 + 
      488*T1^11*T2^7 - 109*T1^12*T2^7 - 627*T1^2*T2^8 + 594*T1^3*T2^8 + 
      2893*T1^4*T2^8 - 3883*T1^5*T2^8 + 1354*T1^6*T2^8 + 1594*T1^7*T2^8 - 
      2954*T1^8*T2^8 + 2705*T1^9*T2^8 + 115*T1^10*T2^8 - 888*T1^11*T2^8 + 
      201*T1^12*T2^8 + 491*T1^3*T2^9 - 1200*T1^4*T2^9 - 242*T1^5*T2^9 + 
      2544*T1^6*T2^9 - 3497*T1^7*T2^9 + 2705*T1^8*T2^9 - 930*T1^9*T2^9 - 
      1047*T1^10*T2^9 + 1062*T1^11*T2^9 - 238*T1^12*T2^9 - 213*T1^4*T2^10 + 
      878*T1^5*T2^10 - 1313*T1^6*T2^10 + 885*T1^7*T2^10 + 115*T1^8*T2^10 - 
      1047*T1^9*T2^10 + 1447*T1^10*T2^10 - 916*T1^11*T2^10 + 
      201*T1^12*T2^10 + 8*T1^5*T2^11 - 125*T1^6*T2^11 + 488*T1^7*T2^11 - 
      888*T1^8*T2^11 + 1062*T1^9*T2^11 - 916*T1^10*T2^11 + 499*T1^11*T2^11 - 
      109*T1^12*T2^11 + 24*T1^6*T2^12 - 109*T1^7*T2^12 + 201*T1^8*T2^12 - 
      238*T1^9*T2^12 + 201*T1^10*T2^12 - 109*T1^11*T2^12 + 24*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 552] -> 
  {-((1 - 3*T + T^2 + T^3 + T^4 - 3*T^5 + T^6)/T^3), 
   -((-3 + 9*T1 - 3*T1^2 - 3*T1^3 - 3*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      19*T1*T2 - 16*T1^2*T2 + 19*T1^3*T2 + 19*T1^4*T2 - 28*T1^5*T2 - 
      7*T1^6*T2 + 6*T1^7*T2 - 3*T2^2 - 16*T1*T2^2 + 66*T1^2*T2^2 - 
      5*T1^3*T2^2 - 54*T1^4*T2^2 + 3*T1^5*T2^2 + 66*T1^6*T2^2 - 
      22*T1^7*T2^2 - T1^8*T2^2 - 3*T2^3 + 19*T1*T2^3 - 5*T1^2*T2^3 - 
      74*T1^3*T2^3 + 47*T1^4*T2^3 + 59*T1^5*T2^3 - 86*T1^6*T2^3 + 
      10*T1^7*T2^3 + 7*T1^8*T2^3 - 3*T2^4 + 19*T1*T2^4 - 54*T1^2*T2^4 + 
      47*T1^3*T2^4 + 17*T1^4*T2^4 - 53*T1^5*T2^4 - 7*T1^6*T2^4 + 
      51*T1^7*T2^4 - 32*T1^8*T2^4 + T1^9*T2^4 + T1^10*T2^4 + 9*T2^5 - 
      28*T1*T2^5 + 3*T1^2*T2^5 + 59*T1^3*T2^5 - 53*T1^4*T2^5 + 33*T1^5*T2^5 + 
      57*T1^6*T2^5 - 64*T1^7*T2^5 + 31*T1^8*T2^5 + 16*T1^9*T2^5 + 
      8*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 7*T1*T2^6 + 66*T1^2*T2^6 - 
      86*T1^3*T2^6 - 7*T1^4*T2^6 + 57*T1^5*T2^6 - 132*T1^6*T2^6 + 
      47*T1^7*T2^6 + 35*T1^8*T2^6 - 50*T1^9*T2^6 - 34*T1^10*T2^6 + 
      11*T1^11*T2^6 + 3*T1^12*T2^6 + 6*T1*T2^7 - 22*T1^2*T2^7 + 
      10*T1^3*T2^7 + 51*T1^4*T2^7 - 64*T1^5*T2^7 + 47*T1^6*T2^7 + 
      71*T1^7*T2^7 - 75*T1^8*T2^7 + 23*T1^9*T2^7 + 23*T1^10*T2^7 + 
      14*T1^11*T2^7 - 9*T1^12*T2^7 - T1^2*T2^8 + 7*T1^3*T2^8 - 32*T1^4*T2^8 + 
      31*T1^5*T2^8 + 35*T1^6*T2^8 - 75*T1^7*T2^8 + 11*T1^8*T2^8 + 
      35*T1^9*T2^8 - 10*T1^10*T2^8 - 11*T1^11*T2^8 + 3*T1^12*T2^8 + 
      T1^4*T2^9 + 16*T1^5*T2^9 - 50*T1^6*T2^9 + 23*T1^7*T2^9 + 35*T1^8*T2^9 - 
      62*T1^9*T2^9 + 31*T1^10*T2^9 - 11*T1^11*T2^9 + 3*T1^12*T2^9 + 
      T1^4*T2^10 + 8*T1^5*T2^10 - 34*T1^6*T2^10 + 23*T1^7*T2^10 - 
      10*T1^8*T2^10 + 31*T1^9*T2^10 - 34*T1^10*T2^10 + 2*T1^11*T2^10 + 
      3*T1^12*T2^10 - 6*T1^5*T2^11 + 11*T1^6*T2^11 + 14*T1^7*T2^11 - 
      11*T1^8*T2^11 - 11*T1^9*T2^11 + 2*T1^10*T2^11 + 23*T1^11*T2^11 - 
      9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 3*T1^8*T2^12 + 
      3*T1^9*T2^12 + 3*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 553] -> 
  {((-2 + T)^2*(-1 + 2*T)^2)/T^2, (2*(-2 + T1)*(-1 + 2*T1)*(-2 + T2)*
     (-1 + 2*T2)*(-2 + T1*T2)*(-1 + 2*T1*T2)*(-7 + 17*T1 - 7*T1^2 + 17*T2 - 
      44*T1*T2 + 26*T1^2*T2 - 3*T1^3*T2 - 7*T2^2 + 26*T1*T2^2 - 
      24*T1^2*T2^2 - 14*T1^3*T2^2 + 9*T1^4*T2^2 - 3*T1*T2^3 - 14*T1^2*T2^3 + 
      56*T1^3*T2^3 - 23*T1^4*T2^3 + 9*T1^2*T2^4 - 23*T1^3*T2^4 + 
      9*T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 554] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2))/T^2), 
   -((-9 + 35*T1 - 47*T1^2 + 35*T1^3 - 9*T1^4 + 35*T2 - 128*T1*T2 + 
      142*T1^2*T2 - 82*T1^3*T2 - 2*T1^4*T2 + 7*T1^5*T2 - 47*T2^2 + 
      142*T1*T2^2 - 23*T1^2*T2^2 - 145*T1^3*T2^2 + 229*T1^4*T2^2 - 
      110*T1^5*T2^2 + 25*T1^6*T2^2 + 35*T2^3 - 82*T1*T2^3 - 145*T1^2*T2^3 + 
      325*T1^3*T2^3 - 305*T1^4*T2^3 + 44*T1^5*T2^3 + 86*T1^6*T2^3 - 
      49*T1^7*T2^3 - 9*T2^4 - 2*T1*T2^4 + 229*T1^2*T2^4 - 305*T1^3*T2^4 + 
      60*T1^4*T2^4 + 269*T1^5*T2^4 - 313*T1^6*T2^4 + 82*T1^7*T2^4 + 
      23*T1^8*T2^4 + 7*T1*T2^5 - 110*T1^2*T2^5 + 44*T1^3*T2^5 + 
      269*T1^4*T2^5 - 361*T1^5*T2^5 + 233*T1^6*T2^5 + 58*T1^7*T2^5 - 
      77*T1^8*T2^5 + 25*T1^2*T2^6 + 86*T1^3*T2^6 - 313*T1^4*T2^6 + 
      233*T1^5*T2^6 - 61*T1^6*T2^6 - 166*T1^7*T2^6 + 97*T1^8*T2^6 - 
      49*T1^3*T2^7 + 82*T1^4*T2^7 + 58*T1^5*T2^7 - 166*T1^6*T2^7 + 
      208*T1^7*T2^7 - 77*T1^8*T2^7 + 23*T1^4*T2^8 - 77*T1^5*T2^8 + 
      97*T1^6*T2^8 - 77*T1^7*T2^8 + 23*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 555] -> 
  {(1 - 9*T + 33*T^2 - 49*T^3 + 33*T^4 - 9*T^5 + T^6)/T^3, 
   (-2 + 18*T1 - 66*T1^2 + 98*T1^3 - 66*T1^4 + 18*T1^5 - 2*T1^6 + 18*T2 - 
     153*T1*T2 + 513*T1^2*T2 - 585*T1^3*T2 + 153*T1^4*T2 + 135*T1^5*T2 - 
     63*T1^6*T2 + 9*T1^7*T2 - 66*T2^2 + 513*T1*T2^2 - 1452*T1^2*T2^2 + 
     596*T1^3*T2^2 + 1732*T1^4*T2^2 - 2044*T1^5*T2^2 + 660*T1^6*T2^2 - 
     81*T1^7*T2^2 + 98*T2^3 - 585*T1*T2^3 + 596*T1^2*T2^3 + 4814*T1^3*T2^3 - 
     10798*T1^4*T2^3 + 7382*T1^5*T2^3 - 310*T1^6*T2^3 - 1285*T1^7*T2^3 + 
     441*T1^8*T2^3 - 49*T1^9*T2^3 - 66*T2^4 + 153*T1*T2^4 + 1732*T1^2*T2^4 - 
     10798*T1^3*T2^4 + 15542*T1^4*T2^4 + 74*T1^5*T2^4 - 15514*T1^6*T2^4 + 
     10958*T1^7*T2^4 - 1850*T1^8*T2^4 - 153*T1^9*T2^4 + 66*T1^10*T2^4 + 
     18*T2^5 + 135*T1*T2^5 - 2044*T1^2*T2^5 + 7382*T1^3*T2^5 + 74*T1^4*T2^5 - 
     38723*T1^5*T2^5 + 56899*T1^6*T2^5 - 24775*T1^7*T2^5 - 3646*T1^8*T2^5 + 
     2873*T1^9*T2^5 - 351*T1^10*T2^5 - 27*T1^11*T2^5 - 2*T2^6 - 63*T1*T2^6 + 
     660*T1^2*T2^6 - 310*T1^3*T2^6 - 15514*T1^4*T2^6 + 56899*T1^5*T2^6 - 
     46032*T1^6*T2^6 - 19907*T1^7*T2^6 + 38504*T1^8*T2^6 - 9514*T1^9*T2^6 + 
     120*T1^10*T2^6 + 207*T1^11*T2^6 + 4*T1^12*T2^6 + 9*T1*T2^7 - 
     81*T1^2*T2^7 - 1285*T1^3*T2^7 + 10958*T1^4*T2^7 - 24775*T1^5*T2^7 - 
     19907*T1^6*T2^7 + 75715*T1^7*T2^7 - 49624*T1^8*T2^7 - 70*T1^9*T2^7 + 
     3632*T1^10*T2^7 - 567*T1^11*T2^7 - 36*T1^12*T2^7 + 441*T1^3*T2^8 - 
     1850*T1^4*T2^8 - 3646*T1^5*T2^8 + 38504*T1^6*T2^8 - 49624*T1^7*T2^8 + 
     7448*T1^8*T2^8 + 18110*T1^9*T2^8 - 5432*T1^10*T2^8 + 135*T1^11*T2^8 + 
     132*T1^12*T2^8 - 49*T1^3*T2^9 - 153*T1^4*T2^9 + 2873*T1^5*T2^9 - 
     9514*T1^6*T2^9 - 70*T1^7*T2^9 + 18110*T1^8*T2^9 - 14638*T1^9*T2^9 + 
     992*T1^10*T2^9 + 873*T1^11*T2^9 - 196*T1^12*T2^9 + 66*T1^4*T2^10 - 
     351*T1^5*T2^10 + 120*T1^6*T2^10 + 3632*T1^7*T2^10 - 5432*T1^8*T2^10 + 
     992*T1^9*T2^10 + 2232*T1^10*T2^10 - 945*T1^11*T2^10 + 132*T1^12*T2^10 - 
     27*T1^5*T2^11 + 207*T1^6*T2^11 - 567*T1^7*T2^11 + 135*T1^8*T2^11 + 
     873*T1^9*T2^11 - 945*T1^10*T2^11 + 297*T1^11*T2^11 - 36*T1^12*T2^11 + 
     4*T1^6*T2^12 - 36*T1^7*T2^12 + 132*T1^8*T2^12 - 196*T1^9*T2^12 + 
     132*T1^10*T2^12 - 36*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 556] -> 
  {((-2 + T)^2*(-1 + 2*T)^2)/T^2, (2*(-2 + T1)*(-1 + 2*T1)*(-2 + T2)*
     (-1 + 2*T2)*(-2 + T1*T2)*(-1 + 2*T1*T2)*(-9 + 23*T1 - 9*T1^2 + 23*T2 - 
      56*T1*T2 + 14*T1^2*T2 + 3*T1^3*T2 - 9*T2^2 + 14*T1*T2^2 + 
      24*T1^2*T2^2 - 26*T1^3*T2^2 + 7*T1^4*T2^2 + 3*T1*T2^3 - 26*T1^2*T2^3 + 
      44*T1^3*T2^3 - 17*T1^4*T2^3 + 7*T1^2*T2^4 - 17*T1^3*T2^4 + 
      7*T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 557] -> 
  {-((3 - 12*T + 21*T^2 - 25*T^3 + 21*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-138 + 549*T1 - 954*T1^2 + 1134*T1^3 - 954*T1^4 + 549*T1^5 - 138*T1^6 + 
      549*T2 - 1746*T1*T2 + 2051*T1^2*T2 - 1476*T1^3*T2 + 180*T1^4*T2 + 
      863*T1^5*T2 - 1206*T1^6*T2 + 441*T1^7*T2 - 954*T2^2 + 2051*T1*T2^2 - 
      189*T1^2*T2^2 - 2105*T1^3*T2^2 + 4017*T1^4*T2^2 - 3743*T1^5*T2^2 + 
      2079*T1^6*T2^2 + 539*T1^7*T2^2 - 576*T1^8*T2^2 + 1134*T2^3 - 
      1476*T1*T2^3 - 2105*T1^2*T2^3 + 3495*T1^3*T2^3 - 3425*T1^4*T2^3 + 
      742*T1^5*T2^3 + 1479*T1^6*T2^3 - 3050*T1^7*T2^3 + 468*T1^8*T2^3 + 
      459*T1^9*T2^3 - 954*T2^4 + 180*T1*T2^4 + 4017*T1^2*T2^4 - 
      3425*T1^3*T2^4 + 1950*T1^4*T2^4 + 912*T1^5*T2^4 - 1314*T1^6*T2^4 + 
      1075*T1^7*T2^4 + 2109*T1^8*T2^4 - 1044*T1^9*T2^4 - 198*T1^10*T2^4 + 
      549*T2^5 + 863*T1*T2^5 - 3743*T1^2*T2^5 + 742*T1^3*T2^5 + 
      912*T1^4*T2^5 - 1899*T1^5*T2^5 + 3*T1^6*T2^5 + 975*T1^7*T2^5 - 
      2759*T1^8*T2^5 - 26*T1^9*T2^5 + 755*T1^10*T2^5 + 9*T1^11*T2^5 - 
      138*T2^6 - 1206*T1*T2^6 + 2079*T1^2*T2^6 + 1479*T1^3*T2^6 - 
      1314*T1^4*T2^6 + 3*T1^5*T2^6 + 2112*T1^6*T2^6 - 1743*T1^7*T2^6 + 
      1296*T1^8*T2^6 + 1641*T1^9*T2^6 - 1053*T1^10*T2^6 - 126*T1^11*T2^6 + 
      24*T1^12*T2^6 + 441*T1*T2^7 + 539*T1^2*T2^7 - 3050*T1^3*T2^7 + 
      1075*T1^4*T2^7 + 975*T1^5*T2^7 - 1743*T1^6*T2^7 + 159*T1^7*T2^7 + 
      1038*T1^8*T2^7 - 2426*T1^9*T2^7 + 667*T1^10*T2^7 + 431*T1^11*T2^7 - 
      99*T1^12*T2^7 - 576*T1^2*T2^8 + 468*T1^3*T2^8 + 2109*T1^4*T2^8 - 
      2759*T1^5*T2^8 + 1296*T1^6*T2^8 + 1038*T1^7*T2^8 - 1968*T1^8*T2^8 + 
      1741*T1^9*T2^8 + 201*T1^10*T2^8 - 756*T1^11*T2^8 + 180*T1^12*T2^8 + 
      459*T1^3*T2^9 - 1044*T1^4*T2^9 - 26*T1^5*T2^9 + 1641*T1^6*T2^9 - 
      2426*T1^7*T2^9 + 1741*T1^8*T2^9 - 375*T1^9*T2^9 - 971*T1^10*T2^9 + 
      900*T1^11*T2^9 - 216*T1^12*T2^9 - 198*T1^4*T2^10 + 755*T1^5*T2^10 - 
      1053*T1^6*T2^10 + 667*T1^7*T2^10 + 201*T1^8*T2^10 - 971*T1^9*T2^10 + 
      1215*T1^10*T2^10 - 757*T1^11*T2^10 + 180*T1^12*T2^10 + 9*T1^5*T2^11 - 
      126*T1^6*T2^11 + 431*T1^7*T2^11 - 756*T1^8*T2^11 + 900*T1^9*T2^11 - 
      757*T1^10*T2^11 + 414*T1^11*T2^11 - 99*T1^12*T2^11 + 24*T1^6*T2^12 - 
      99*T1^7*T2^12 + 180*T1^8*T2^12 - 216*T1^9*T2^12 + 180*T1^10*T2^12 - 
      99*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 558] -> 
  {(1 - 3*T + 8*T^2 - 11*T^3 + 8*T^4 - 3*T^5 + T^6)/T^3, 
   (-4 + 12*T1 - 32*T1^2 + 44*T1^3 - 32*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 70*T1^2*T2 - 61*T1^3*T2 - 4*T1^4*T2 + 37*T1^5*T2 - 
     15*T1^6*T2 + 9*T1^7*T2 - 32*T2^2 + 70*T1*T2^2 - 190*T1^2*T2^2 + 
     167*T1^3*T2^2 - 54*T1^4*T2^2 + 39*T1^5*T2^2 - 78*T1^6*T2^2 + 
     22*T1^7*T2^2 - 16*T1^8*T2^2 + 44*T2^3 - 61*T1*T2^3 + 167*T1^2*T2^3 - 
     5*T1^3*T2^3 - 120*T1^4*T2^3 - 27*T1^5*T2^3 + 127*T1^6*T2^3 - T1^7*T2^3 + 
     14*T1^8*T2^3 + 11*T1^9*T2^3 - 32*T2^4 - 4*T1*T2^4 - 54*T1^2*T2^4 - 
     120*T1^3*T2^4 - 39*T1^4*T2^4 + 419*T1^5*T2^4 - 343*T1^6*T2^4 - 
     10*T1^7*T2^4 + 4*T1^8*T2^4 - 34*T1^9*T2^4 + 12*T2^5 + 37*T1*T2^5 + 
     39*T1^2*T2^5 - 27*T1^3*T2^5 + 419*T1^4*T2^5 - 689*T1^5*T2^5 + 
     251*T1^6*T2^5 + 195*T1^7*T2^5 - 86*T1^8*T2^5 + 47*T1^9*T2^5 + 
     10*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 - 78*T1^2*T2^6 + 
     127*T1^3*T2^6 - 343*T1^4*T2^6 + 251*T1^5*T2^6 + 336*T1^6*T2^6 - 
     539*T1^7*T2^6 + 205*T1^8*T2^6 - 35*T1^9*T2^6 - 10*T1^10*T2^6 + 
     3*T1^11*T2^6 + 2*T1^12*T2^6 + 9*T1*T2^7 + 22*T1^2*T2^7 - T1^3*T2^7 - 
     10*T1^4*T2^7 + 195*T1^5*T2^7 - 539*T1^6*T2^7 + 401*T1^7*T2^7 - 
     29*T1^8*T2^7 - 69*T1^9*T2^7 + 7*T1^10*T2^7 - 5*T1^11*T2^7 - 
     6*T1^12*T2^7 - 16*T1^2*T2^8 + 14*T1^3*T2^8 + 4*T1^4*T2^8 - 
     86*T1^5*T2^8 + 205*T1^6*T2^8 - 29*T1^7*T2^8 - 99*T1^8*T2^8 + 
     24*T1^9*T2^8 + 62*T1^10*T2^8 - 16*T1^11*T2^8 + 16*T1^12*T2^8 + 
     11*T1^3*T2^9 - 34*T1^4*T2^9 + 47*T1^5*T2^9 - 35*T1^6*T2^9 - 
     69*T1^7*T2^9 + 24*T1^8*T2^9 + 97*T1^9*T2^9 - 121*T1^10*T2^9 + 
     41*T1^11*T2^9 - 22*T1^12*T2^9 + 10*T1^5*T2^10 - 10*T1^6*T2^10 + 
     7*T1^7*T2^10 + 62*T1^8*T2^10 - 121*T1^9*T2^10 + 102*T1^10*T2^10 - 
     38*T1^11*T2^10 + 16*T1^12*T2^10 - 3*T1^5*T2^11 + 3*T1^6*T2^11 - 
     5*T1^7*T2^11 - 16*T1^8*T2^11 + 41*T1^9*T2^11 - 38*T1^10*T2^11 + 
     15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
     16*T1^8*T2^12 - 22*T1^9*T2^12 + 16*T1^10*T2^12 - 6*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 559] -> 
  {-((2 - 7*T + 11*T^2 - 13*T^3 + 11*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((-39 + 135*T1 - 211*T1^2 + 249*T1^3 - 211*T1^4 + 135*T1^5 - 39*T1^6 + 
      135*T2 - 360*T1*T2 + 362*T1^2*T2 - 286*T1^3*T2 + 50*T1^4*T2 + 
      110*T1^5*T2 - 234*T1^6*T2 + 107*T1^7*T2 - 211*T2^2 + 362*T1*T2^2 + 
      9*T1^2*T2^2 - 243*T1^3*T2^2 + 575*T1^4*T2^2 - 507*T1^5*T2^2 + 
      405*T1^6*T2^2 + 54*T1^7*T2^2 - 123*T1^8*T2^2 + 249*T2^3 - 286*T1*T2^3 - 
      243*T1^2*T2^3 + 245*T1^3*T2^3 - 397*T1^4*T2^3 + 47*T1^5*T2^3 + 
      29*T1^6*T2^3 - 408*T1^7*T2^3 + 106*T1^8*T2^3 + 93*T1^9*T2^3 - 
      211*T2^4 + 50*T1*T2^4 + 575*T1^2*T2^4 - 397*T1^3*T2^4 + 485*T1^4*T2^4 - 
      99*T1^5*T2^4 + 185*T1^6*T2^4 + 97*T1^7*T2^4 + 269*T1^8*T2^4 - 
      202*T1^9*T2^4 - 35*T1^10*T2^4 + 135*T2^5 + 110*T1*T2^5 - 
      507*T1^2*T2^5 + 47*T1^3*T2^5 - 99*T1^4*T2^5 - 88*T1^5*T2^5 - 
      184*T1^6*T2^5 + 22*T1^7*T2^5 - 297*T1^8*T2^5 + 54*T1^9*T2^5 + 
      138*T1^10*T2^5 - 5*T1^11*T2^5 - 39*T2^6 - 234*T1*T2^6 + 405*T1^2*T2^6 + 
      29*T1^3*T2^6 + 185*T1^4*T2^6 - 184*T1^5*T2^6 + 300*T1^6*T2^6 - 
      40*T1^7*T2^6 + 79*T1^8*T2^6 + 179*T1^9*T2^6 - 219*T1^10*T2^6 - 
      10*T1^11*T2^6 + 9*T1^12*T2^6 + 107*T1*T2^7 + 54*T1^2*T2^7 - 
      408*T1^3*T2^7 + 97*T1^4*T2^7 + 22*T1^5*T2^7 - 40*T1^6*T2^7 - 
      136*T1^7*T2^7 + 143*T1^8*T2^7 - 247*T1^9*T2^7 + 153*T1^10*T2^7 + 
      82*T1^11*T2^7 - 33*T1^12*T2^7 - 123*T1^2*T2^8 + 106*T1^3*T2^8 + 
      269*T1^4*T2^8 - 297*T1^5*T2^8 + 79*T1^6*T2^8 + 143*T1^7*T2^8 - 
      221*T1^8*T2^8 + 197*T1^9*T2^8 - 37*T1^10*T2^8 - 146*T1^11*T2^8 + 
      53*T1^12*T2^8 + 93*T1^3*T2^9 - 202*T1^4*T2^9 + 54*T1^5*T2^9 + 
      179*T1^6*T2^9 - 247*T1^7*T2^9 + 197*T1^8*T2^9 - 37*T1^9*T2^9 - 
      111*T1^10*T2^9 + 190*T1^11*T2^9 - 63*T1^12*T2^9 - 35*T1^4*T2^10 + 
      138*T1^5*T2^10 - 219*T1^6*T2^10 + 153*T1^7*T2^10 - 37*T1^8*T2^10 - 
      111*T1^9*T2^10 + 177*T1^10*T2^10 - 170*T1^11*T2^10 + 53*T1^12*T2^10 - 
      5*T1^5*T2^11 - 10*T1^6*T2^11 + 82*T1^7*T2^11 - 146*T1^8*T2^11 + 
      190*T1^9*T2^11 - 170*T1^10*T2^11 + 116*T1^11*T2^11 - 33*T1^12*T2^11 + 
      9*T1^6*T2^12 - 33*T1^7*T2^12 + 53*T1^8*T2^12 - 63*T1^9*T2^12 + 
      53*T1^10*T2^12 - 33*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 560] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-78 + 363*T1 - 776*T1^2 + 1008*T1^3 - 776*T1^4 + 363*T1^5 - 78*T1^6 + 
      363*T2 - 1456*T1*T2 + 2519*T1^2*T2 - 2344*T1^3*T2 + 554*T1^4*T2 + 
      671*T1^5*T2 - 742*T1^6*T2 + 237*T1^7*T2 - 776*T2^2 + 2519*T1*T2^2 - 
      2825*T1^2*T2^2 + 82*T1^3*T2^2 + 4307*T1^4*T2^2 - 4418*T1^5*T2^2 + 
      2035*T1^6*T2^2 - T1^7*T2^2 - 236*T1^8*T2^2 + 1008*T2^3 - 2344*T1*T2^3 + 
      82*T1^2*T2^3 + 5533*T1^3*T2^3 - 9479*T1^4*T2^3 + 4057*T1^5*T2^3 + 
      1795*T1^6*T2^3 - 3308*T1^7*T2^3 + 1310*T1^8*T2^3 - 45*T1^9*T2^3 - 
      776*T2^4 + 554*T1*T2^4 + 4307*T1^2*T2^4 - 9479*T1^3*T2^4 + 
      7425*T1^4*T2^4 + 4909*T1^5*T2^4 - 10155*T1^6*T2^4 + 5965*T1^7*T2^4 - 
      181*T1^8*T2^4 - 1210*T1^9*T2^4 + 304*T1^10*T2^4 + 363*T2^5 + 
      671*T1*T2^5 - 4418*T1^2*T2^5 + 4057*T1^3*T2^5 + 4909*T1^4*T2^5 - 
      16302*T1^5*T2^5 + 12558*T1^6*T2^5 + 49*T1^7*T2^5 - 5663*T1^8*T2^5 + 
      3412*T1^9*T2^5 - 169*T1^10*T2^5 - 267*T1^11*T2^5 - 78*T2^6 - 
      742*T1*T2^6 + 2035*T1^2*T2^6 + 1795*T1^3*T2^6 - 10155*T1^4*T2^6 + 
      12558*T1^5*T2^6 - 876*T1^6*T2^6 - 12030*T1^7*T2^6 + 9489*T1^8*T2^6 - 
      1991*T1^9*T2^6 - 1921*T1^10*T2^6 + 854*T1^11*T2^6 + 84*T1^12*T2^6 + 
      237*T1*T2^7 - T1^2*T2^7 - 3308*T1^3*T2^7 + 5965*T1^4*T2^7 + 
      49*T1^5*T2^7 - 12030*T1^6*T2^7 + 16830*T1^7*T2^7 - 4811*T1^8*T2^7 - 
      3755*T1^9*T2^7 + 4522*T1^10*T2^7 - 841*T1^11*T2^7 - 393*T1^12*T2^7 - 
      236*T1^2*T2^8 + 1310*T1^3*T2^8 - 181*T1^4*T2^8 - 5663*T1^5*T2^8 + 
      9489*T1^6*T2^8 - 4811*T1^7*T2^8 - 8091*T1^8*T2^8 + 9781*T1^9*T2^8 - 
      4669*T1^10*T2^8 - 454*T1^11*T2^8 + 844*T1^12*T2^8 - 45*T1^3*T2^9 - 
      1210*T1^4*T2^9 + 3412*T1^5*T2^9 - 1991*T1^6*T2^9 - 3755*T1^7*T2^9 + 
      9781*T1^8*T2^9 - 5729*T1^9*T2^9 + 22*T1^10*T2^9 + 2444*T1^11*T2^9 - 
      1098*T1^12*T2^9 + 304*T1^4*T2^10 - 169*T1^5*T2^10 - 1921*T1^6*T2^10 + 
      4522*T1^7*T2^10 - 4669*T1^8*T2^10 + 22*T1^9*T2^10 + 2939*T1^10*T2^10 - 
      2689*T1^11*T2^10 + 844*T1^12*T2^10 - 267*T1^5*T2^11 + 854*T1^6*T2^11 - 
      841*T1^7*T2^11 - 454*T1^8*T2^11 + 2444*T1^9*T2^11 - 2689*T1^10*T2^11 + 
      1568*T1^11*T2^11 - 393*T1^12*T2^11 + 84*T1^6*T2^12 - 393*T1^7*T2^12 + 
      844*T1^8*T2^12 - 1098*T1^9*T2^12 + 844*T1^10*T2^12 - 393*T1^11*T2^12 + 
      84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 561] -> 
  {-((4 - 14*T + 19*T^2 - 14*T^3 + 4*T^4)/T^2), 
   -((-192 + 664*T1 - 896*T1^2 + 664*T1^3 - 192*T1^4 + 664*T2 - 1854*T1*T2 + 
      1586*T1^2*T2 - 262*T1^3*T2 - 846*T1^4*T2 + 440*T1^5*T2 - 896*T2^2 + 
      1586*T1*T2^2 + 745*T1^2*T2^2 - 3001*T1^3*T2^2 + 3025*T1^4*T2^2 - 
      542*T1^5*T2^2 - 288*T1^6*T2^2 + 664*T2^3 - 262*T1*T2^3 - 
      3001*T1^2*T2^3 + 3986*T1^3*T2^3 - 1768*T1^4*T2^3 - 1405*T1^5*T2^3 + 
      1026*T1^6*T2^3 - 8*T1^7*T2^3 - 192*T2^4 - 846*T1*T2^4 + 
      3025*T1^2*T2^4 - 1768*T1^3*T2^4 - 1572*T1^4*T2^4 + 3216*T1^5*T2^4 - 
      1247*T1^6*T2^4 - 174*T1^7*T2^4 + 64*T1^8*T2^4 + 440*T1*T2^5 - 
      542*T1^2*T2^5 - 1405*T1^3*T2^5 + 3216*T1^4*T2^5 - 2538*T1^5*T2^5 + 
      191*T1^6*T2^5 + 746*T1^7*T2^5 - 232*T1^8*T2^5 - 288*T1^2*T2^6 + 
      1026*T1^3*T2^6 - 1247*T1^4*T2^6 + 191*T1^5*T2^6 + 1033*T1^6*T2^6 - 
      1102*T1^7*T2^6 + 320*T1^8*T2^6 - 8*T1^3*T2^7 - 174*T1^4*T2^7 + 
      746*T1^5*T2^7 - 1102*T1^6*T2^7 + 834*T1^7*T2^7 - 232*T1^8*T2^7 + 
      64*T1^4*T2^8 - 232*T1^5*T2^8 + 320*T1^6*T2^8 - 232*T1^7*T2^8 + 
      64*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 562] -> {-((3 - 9*T + 11*T^2 - 9*T^3 + 3*T^4)/T^2), 
   -((-72 + 210*T1 - 254*T1^2 + 210*T1^3 - 72*T1^4 + 210*T2 - 483*T1*T2 + 
      373*T1^2*T2 - 167*T1^3*T2 - 159*T1^4*T2 + 129*T1^5*T2 - 254*T2^2 + 
      373*T1*T2^2 + 113*T1^2*T2^2 - 433*T1^3*T2^2 + 641*T1^4*T2^2 - 
      221*T1^5*T2^2 - 56*T1^6*T2^2 + 210*T2^3 - 167*T1*T2^3 - 433*T1^2*T2^3 + 
      596*T1^3*T2^3 - 412*T1^4*T2^3 - 136*T1^5*T2^3 + 265*T1^6*T2^3 - 
      33*T1^7*T2^3 - 72*T2^4 - 159*T1*T2^4 + 641*T1^2*T2^4 - 412*T1^3*T2^4 - 
      216*T1^4*T2^4 + 560*T1^5*T2^4 - 421*T1^6*T2^4 + 3*T1^7*T2^4 + 
      36*T1^8*T2^4 + 129*T1*T2^5 - 221*T1^2*T2^5 - 136*T1^3*T2^5 + 
      560*T1^4*T2^5 - 448*T1^5*T2^5 + 161*T1^6*T2^5 + 211*T1^7*T2^5 - 
      114*T1^8*T2^5 - 56*T1^2*T2^6 + 265*T1^3*T2^6 - 421*T1^4*T2^6 + 
      161*T1^5*T2^6 + 107*T1^6*T2^6 - 329*T1^7*T2^6 + 142*T1^8*T2^6 - 
      33*T1^3*T2^7 + 3*T1^4*T2^7 + 211*T1^5*T2^7 - 329*T1^6*T2^7 + 
      327*T1^7*T2^7 - 114*T1^8*T2^7 + 36*T1^4*T2^8 - 114*T1^5*T2^8 + 
      142*T1^6*T2^8 - 114*T1^7*T2^8 + 36*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 563] -> 
  {-((5 - 18*T + 25*T^2 - 18*T^3 + 5*T^4)/T^2), 
   -((-415 + 1476*T1 - 2035*T1^2 + 1476*T1^3 - 415*T1^4 + 1476*T2 - 
      4228*T1*T2 + 3612*T1^2*T2 - 258*T1^3*T2 - 2158*T1^4*T2 + 1026*T1^5*T2 - 
      2035*T2^2 + 3612*T1*T2^2 + 2130*T1^2*T2^2 - 7794*T1^3*T2^2 + 
      7130*T1^4*T2^2 - 888*T1^5*T2^2 - 785*T1^6*T2^2 + 1476*T2^3 - 
      258*T1*T2^3 - 7794*T1^2*T2^3 + 9724*T1^3*T2^3 - 3416*T1^4*T2^3 - 
      4194*T1^5*T2^3 + 2352*T1^6*T2^3 + 126*T1^7*T2^3 - 415*T2^4 - 
      2158*T1*T2^4 + 7130*T1^2*T2^4 - 3416*T1^3*T2^4 - 4476*T1^4*T2^4 + 
      7744*T1^5*T2^4 - 2034*T1^6*T2^4 - 718*T1^7*T2^4 + 85*T1^8*T2^4 + 
      1026*T1*T2^5 - 888*T1^2*T2^5 - 4194*T1^3*T2^5 + 7744*T1^4*T2^5 - 
      5396*T1^5*T2^5 - 594*T1^6*T2^5 + 1722*T1^7*T2^5 - 324*T1^8*T2^5 - 
      785*T1^2*T2^6 + 2352*T1^3*T2^6 - 2034*T1^4*T2^6 - 594*T1^5*T2^6 + 
      2966*T1^6*T2^6 - 2148*T1^7*T2^6 + 465*T1^8*T2^6 + 126*T1^3*T2^7 - 
      718*T1^4*T2^7 + 1722*T1^5*T2^7 - 2148*T1^6*T2^7 + 1352*T1^7*T2^7 - 
      324*T1^8*T2^7 + 85*T1^4*T2^8 - 324*T1^5*T2^8 + 465*T1^6*T2^8 - 
      324*T1^7*T2^8 + 85*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 564] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   -((-5 + 23*T1 - 35*T1^2 + 23*T1^3 - 5*T1^4 + 23*T2 - 118*T1*T2 + 
      252*T1^2*T2 - 248*T1^3*T2 + 122*T1^4*T2 - 17*T1^5*T2 - 35*T2^2 + 
      252*T1*T2^2 - 659*T1^2*T2^2 + 459*T1^3*T2^2 + 121*T1^4*T2^2 - 
      348*T1^5*T2^2 + 85*T1^6*T2^2 + 23*T2^3 - 248*T1*T2^3 + 459*T1^2*T2^3 + 
      944*T1^3*T2^3 - 2086*T1^4*T2^3 + 1359*T1^5*T2^3 + 52*T1^6*T2^3 - 
      97*T1^7*T2^3 - 5*T2^4 + 122*T1*T2^4 + 121*T1^2*T2^4 - 2086*T1^3*T2^4 + 
      2028*T1^4*T2^4 + 354*T1^5*T2^4 - 1639*T1^6*T2^4 + 362*T1^7*T2^4 + 
      27*T1^8*T2^4 - 17*T1*T2^5 - 348*T1^2*T2^5 + 1359*T1^3*T2^5 + 
      354*T1^4*T2^5 - 2676*T1^5*T2^5 + 2259*T1^6*T2^5 - 48*T1^7*T2^5 - 
      137*T1^8*T2^5 + 85*T1^2*T2^6 + 52*T1^3*T2^6 - 1639*T1^4*T2^6 + 
      2259*T1^5*T2^6 - 859*T1^6*T2^6 - 548*T1^7*T2^6 + 205*T1^8*T2^6 - 
      97*T1^3*T2^7 + 362*T1^4*T2^7 - 48*T1^5*T2^7 - 548*T1^6*T2^7 + 
      602*T1^7*T2^7 - 137*T1^8*T2^7 + 27*T1^4*T2^8 - 137*T1^5*T2^8 + 
      205*T1^6*T2^8 - 137*T1^7*T2^8 + 27*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 565] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((-9 + 33*T1 - 43*T1^2 + 43*T1^3 - 43*T1^4 + 33*T1^5 - 9*T1^6 + 33*T2 - 
      116*T1*T2 + 134*T1^2*T2 - 126*T1^3*T2 + 126*T1^4*T2 - 90*T1^5*T2 + 
      10*T1^6*T2 + 5*T1^7*T2 - 43*T2^2 + 134*T1*T2^2 - 75*T1^2*T2^2 - 
      7*T1^3*T2^2 + 25*T1^4*T2^2 - 79*T1^5*T2^2 + 177*T1^6*T2^2 - 
      118*T1^7*T2^2 + 29*T1^8*T2^2 + 43*T2^3 - 126*T1*T2^3 - 7*T1^2*T2^3 + 
      149*T1^3*T2^3 - 115*T1^4*T2^3 + 155*T1^5*T2^3 - 265*T1^6*T2^3 + 
      74*T1^7*T2^3 + 126*T1^8*T2^3 - 65*T1^9*T2^3 - 43*T2^4 + 126*T1*T2^4 + 
      25*T1^2*T2^4 - 115*T1^3*T2^4 - 34*T1^4*T2^4 - 84*T1^5*T2^4 + 
      218*T1^6*T2^4 + 119*T1^7*T2^4 - 209*T1^8*T2^4 - 126*T1^9*T2^4 + 
      101*T1^10*T2^4 + 33*T2^5 - 90*T1*T2^5 - 79*T1^2*T2^5 + 155*T1^3*T2^5 - 
      84*T1^4*T2^5 + 438*T1^5*T2^5 - 498*T1^6*T2^5 + 69*T1^7*T2^5 - 
      187*T1^8*T2^5 + 452*T1^9*T2^5 + 22*T1^10*T2^5 - 107*T1^11*T2^5 - 
      9*T2^6 + 10*T1*T2^6 + 177*T1^2*T2^6 - 265*T1^3*T2^6 + 218*T1^4*T2^6 - 
      498*T1^5*T2^6 + 132*T1^6*T2^6 + 382*T1^7*T2^6 - 196*T1^8*T2^6 + 
      149*T1^9*T2^6 - 655*T1^10*T2^6 + 234*T1^11*T2^6 + 39*T1^12*T2^6 + 
      5*T1*T2^7 - 118*T1^2*T2^7 + 74*T1^3*T2^7 + 119*T1^4*T2^7 + 
      69*T1^5*T2^7 + 382*T1^6*T2^7 - 554*T1^7*T2^7 + 222*T1^8*T2^7 - 
      223*T1^9*T2^7 + 605*T1^10*T2^7 - 6*T1^11*T2^7 - 135*T1^12*T2^7 + 
      29*T1^2*T2^8 + 126*T1^3*T2^8 - 209*T1^4*T2^8 - 187*T1^5*T2^8 - 
      196*T1^6*T2^8 + 222*T1^7*T2^8 + 56*T1^8*T2^8 + 47*T1^9*T2^8 - 
      443*T1^10*T2^8 - 126*T1^11*T2^8 + 173*T1^12*T2^8 - 65*T1^3*T2^9 - 
      126*T1^4*T2^9 + 452*T1^5*T2^9 + 149*T1^6*T2^9 - 223*T1^7*T2^9 + 
      47*T1^8*T2^9 - 265*T1^9*T2^9 + 533*T1^10*T2^9 + 126*T1^11*T2^9 - 
      173*T1^12*T2^9 + 101*T1^4*T2^10 + 22*T1^5*T2^10 - 655*T1^6*T2^10 + 
      605*T1^7*T2^10 - 443*T1^8*T2^10 + 533*T1^9*T2^10 - 403*T1^10*T2^10 - 
      230*T1^11*T2^10 + 173*T1^12*T2^10 - 107*T1^5*T2^11 + 234*T1^6*T2^11 - 
      6*T1^7*T2^11 - 126*T1^8*T2^11 + 126*T1^9*T2^11 - 230*T1^10*T2^11 + 
      360*T1^11*T2^11 - 135*T1^12*T2^11 + 39*T1^6*T2^12 - 135*T1^7*T2^12 + 
      173*T1^8*T2^12 - 173*T1^9*T2^12 + 173*T1^10*T2^12 - 135*T1^11*T2^12 + 
      39*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 566] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(-32 + 136*T1 - 200*T1^2 + 136*T1^3 - 32*T1^4 + 136*T2 - 568*T1*T2 + 
      780*T1^2*T2 - 468*T1^3*T2 + 72*T1^4*T2 + 8*T1^5*T2 - 200*T2^2 + 
      780*T1*T2^2 - 667*T1^2*T2^2 - 414*T1^3*T2^2 + 1081*T1^4*T2^2 - 
      692*T1^5*T2^2 + 168*T1^6*T2^2 + 136*T2^3 - 468*T1*T2^3 - 
      414*T1^2*T2^3 + 2462*T1^3*T2^3 - 2794*T1^4*T2^3 + 1058*T1^5*T2^3 + 
      332*T1^6*T2^3 - 248*T1^7*T2^3 - 32*T2^4 + 72*T1*T2^4 + 1081*T1^2*T2^4 - 
      2794*T1^3*T2^4 + 1386*T1^4*T2^4 + 1558*T1^5*T2^4 - 2279*T1^6*T2^4 + 
      584*T1^7*T2^4 + 96*T1^8*T2^4 + 8*T1*T2^5 - 692*T1^2*T2^5 + 
      1058*T1^3*T2^5 + 1558*T1^4*T2^5 - 3698*T1^5*T2^5 + 2530*T1^6*T2^5 + 
      108*T1^7*T2^5 - 376*T1^8*T2^5 + 168*T1^2*T2^6 + 332*T1^3*T2^6 - 
      2279*T1^4*T2^6 + 2530*T1^5*T2^6 - 531*T1^6*T2^6 - 1140*T1^7*T2^6 + 
      536*T1^8*T2^6 - 248*T1^3*T2^7 + 584*T1^4*T2^7 + 108*T1^5*T2^7 - 
      1140*T1^6*T2^7 + 1224*T1^7*T2^7 - 376*T1^8*T2^7 + 96*T1^4*T2^8 - 
      376*T1^5*T2^8 + 536*T1^6*T2^8 - 376*T1^7*T2^8 + 96*T1^8*T2^8))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 567] -> 
  {-(((1 - T + T^2)^2*(3 - 7*T + 3*T^2))/T^3), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-78 + 258*T1 - 334*T1^2 + 258*T1^3 - 78*T1^4 + 258*T2 - 717*T1*T2 + 
       647*T1^2*T2 - 250*T1^3*T2 - 210*T1^4*T2 + 141*T1^5*T2 - 334*T2^2 + 
       647*T1*T2^2 + 134*T1^2*T2^2 - 993*T1^3*T2^2 + 1304*T1^4*T2^2 - 
       523*T1^5*T2^2 + 17*T1^6*T2^2 + 258*T2^3 - 250*T1*T2^3 - 
       993*T1^2*T2^3 + 1832*T1^3*T2^3 - 1418*T1^4*T2^3 + 47*T1^5*T2^3 + 
       497*T1^6*T2^3 - 165*T1^7*T2^3 - 78*T2^4 - 210*T1*T2^4 + 
       1304*T1^2*T2^4 - 1418*T1^3*T2^4 - 84*T1^4*T2^4 + 1442*T1^5*T2^4 - 
       1394*T1^6*T2^4 + 270*T1^7*T2^4 + 84*T1^8*T2^4 + 141*T1*T2^5 - 
       523*T1^2*T2^5 + 47*T1^3*T2^5 + 1442*T1^4*T2^5 - 1808*T1^5*T2^5 + 
       1087*T1^6*T2^5 + 224*T1^7*T2^5 - 282*T1^8*T2^5 + 17*T1^2*T2^6 + 
       497*T1^3*T2^6 - 1394*T1^4*T2^6 + 1087*T1^5*T2^6 - 224*T1^6*T2^6 - 
       673*T1^7*T2^6 + 368*T1^8*T2^6 - 165*T1^3*T2^7 + 270*T1^4*T2^7 + 
       224*T1^5*T2^7 - 673*T1^6*T2^7 + 777*T1^7*T2^7 - 282*T1^8*T2^7 + 
       84*T1^4*T2^8 - 282*T1^5*T2^8 + 368*T1^6*T2^8 - 282*T1^7*T2^8 + 
       84*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 568] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-105 + 417*T1 - 826*T1^2 + 993*T1^3 - 826*T1^4 + 417*T1^5 - 105*T1^6 + 
     417*T2 - 1354*T1*T2 + 2073*T1^2*T2 - 1539*T1^3*T2 + 369*T1^4*T2 + 
     777*T1^5*T2 - 814*T1^6*T2 + 309*T1^7*T2 - 826*T2^2 + 2073*T1*T2^2 - 
     2016*T1^2*T2^2 - 382*T1^3*T2^2 + 2246*T1^4*T2^2 - 2830*T1^5*T2^2 + 
     1008*T1^6*T2^2 + 345*T1^7*T2^2 - 394*T1^8*T2^2 + 993*T2^3 - 
     1539*T1*T2^3 - 382*T1^2*T2^3 + 4015*T1^3*T2^3 - 4006*T1^4*T2^3 + 
     1862*T1^5*T2^3 + 1999*T1^6*T2^3 - 2326*T1^7*T2^3 + 729*T1^8*T2^3 + 
     210*T1^9*T2^3 - 826*T2^4 + 369*T1*T2^4 + 2246*T1^2*T2^4 - 
     4006*T1^3*T2^4 + 140*T1^4*T2^4 + 3544*T1^5*T2^4 - 5644*T1^6*T2^4 + 
     2258*T1^7*T2^4 + 806*T1^8*T2^4 - 999*T1^9*T2^4 + 38*T1^10*T2^4 + 
     417*T2^5 + 777*T1*T2^5 - 2830*T1^2*T2^5 + 1862*T1^3*T2^5 + 
     3544*T1^4*T2^5 - 5196*T1^5*T2^5 + 3288*T1^6*T2^5 + 1816*T1^7*T2^5 - 
     3214*T1^8*T2^5 + 1130*T1^9*T2^5 + 345*T1^10*T2^5 - 123*T1^11*T2^5 - 
     105*T2^6 - 814*T1*T2^6 + 1008*T1^2*T2^6 + 1999*T1^3*T2^6 - 
     5644*T1^4*T2^6 + 3288*T1^5*T2^6 + 1536*T1^6*T2^6 - 4848*T1^7*T2^6 + 
     3140*T1^8*T2^6 + 433*T1^9*T2^6 - 1152*T1^10*T2^6 + 266*T1^11*T2^6 + 
     57*T1^12*T2^6 + 309*T1*T2^7 + 345*T1^2*T2^7 - 2326*T1^3*T2^7 + 
     2258*T1^4*T2^7 + 1816*T1^5*T2^7 - 4848*T1^6*T2^7 + 3636*T1^7*T2^7 + 
     88*T1^8*T2^7 - 2818*T1^9*T2^7 + 1634*T1^10*T2^7 - 87*T1^11*T2^7 - 
     231*T1^12*T2^7 - 394*T1^2*T2^8 + 729*T1^3*T2^8 + 806*T1^4*T2^8 - 
     3214*T1^5*T2^8 + 3140*T1^6*T2^8 + 88*T1^7*T2^8 - 2644*T1^8*T2^8 + 
     3050*T1^9*T2^8 - 634*T1^10*T2^8 - 639*T1^11*T2^8 + 470*T1^12*T2^8 + 
     210*T1^3*T2^9 - 999*T1^4*T2^9 + 1130*T1^5*T2^9 + 433*T1^6*T2^9 - 
     2818*T1^7*T2^9 + 3050*T1^8*T2^9 - 1583*T1^9*T2^9 - 814*T1^10*T2^9 + 
     1269*T1^11*T2^9 - 573*T1^12*T2^9 + 38*T1^4*T2^10 + 345*T1^5*T2^10 - 
     1152*T1^6*T2^10 + 1634*T1^7*T2^10 - 634*T1^8*T2^10 - 814*T1^9*T2^10 + 
     1872*T1^10*T2^10 - 1383*T1^11*T2^10 + 470*T1^12*T2^10 - 123*T1^5*T2^11 + 
     266*T1^6*T2^11 - 87*T1^7*T2^11 - 639*T1^8*T2^11 + 1269*T1^9*T2^11 - 
     1383*T1^10*T2^11 + 806*T1^11*T2^11 - 231*T1^12*T2^11 + 57*T1^6*T2^12 - 
     231*T1^7*T2^12 + 470*T1^8*T2^12 - 573*T1^9*T2^12 + 470*T1^10*T2^12 - 
     231*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 569] -> 
  {(3 - 10*T + 18*T^2 - 21*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3, 
   (-51 + 171*T1 - 312*T1^2 + 367*T1^3 - 312*T1^4 + 171*T1^5 - 51*T1^6 + 
     171*T2 - 492*T1*T2 + 771*T1^2*T2 - 723*T1^3*T2 + 447*T1^4*T2 - 
     69*T1^5*T2 - 102*T1^6*T2 + 81*T1^7*T2 - 312*T2^2 + 771*T1*T2^2 - 
     983*T1^2*T2^2 + 565*T1^3*T2^2 + 47*T1^4*T2^2 - 623*T1^5*T2^2 + 
     637*T1^6*T2^2 - 309*T1^7*T2^2 + 12*T1^8*T2^2 + 367*T2^3 - 723*T1*T2^3 + 
     565*T1^2*T2^3 + 239*T1^3*T2^3 - 794*T1^4*T2^3 + 934*T1^5*T2^3 - 
     265*T1^6*T2^3 - 497*T1^7*T2^3 + 627*T1^8*T2^3 - 200*T1^9*T2^3 - 
     312*T2^4 + 447*T1*T2^4 + 47*T1^2*T2^4 - 794*T1^3*T2^4 + 821*T1^4*T2^4 - 
     339*T1^5*T2^4 - 559*T1^6*T2^4 + 970*T1^7*T2^4 - 265*T1^8*T2^4 - 
     453*T1^9*T2^4 + 336*T1^10*T2^4 + 171*T2^5 - 69*T1*T2^5 - 623*T1^2*T2^5 + 
     934*T1^3*T2^5 - 339*T1^4*T2^5 - 550*T1^5*T2^5 + 1022*T1^6*T2^5 - 
     663*T1^7*T2^5 - 722*T1^8*T2^5 + 943*T1^9*T2^5 - 189*T1^10*T2^5 - 
     279*T1^11*T2^5 - 51*T2^6 - 102*T1*T2^6 + 637*T1^2*T2^6 - 265*T1^3*T2^6 - 
     559*T1^4*T2^6 + 1022*T1^5*T2^6 - 288*T1^6*T2^6 - 646*T1^7*T2^6 + 
     1733*T1^8*T2^6 - 679*T1^9*T2^6 - 447*T1^10*T2^6 + 558*T1^11*T2^6 + 
     111*T1^12*T2^6 + 81*T1*T2^7 - 309*T1^2*T2^7 - 497*T1^3*T2^7 + 
     970*T1^4*T2^7 - 663*T1^5*T2^7 - 646*T1^6*T2^7 + 926*T1^7*T2^7 - 
     987*T1^8*T2^7 - 686*T1^9*T2^7 + 1069*T1^10*T2^7 - 429*T1^11*T2^7 - 
     369*T1^12*T2^7 + 12*T1^2*T2^8 + 627*T1^3*T2^8 - 265*T1^4*T2^8 - 
     722*T1^5*T2^8 + 1733*T1^6*T2^8 - 987*T1^7*T2^8 + 353*T1^8*T2^8 + 
     1042*T1^9*T2^8 - 577*T1^10*T2^8 - 273*T1^11*T2^8 + 660*T1^12*T2^8 - 
     200*T1^3*T2^9 - 453*T1^4*T2^9 + 943*T1^5*T2^9 - 679*T1^6*T2^9 - 
     686*T1^7*T2^9 + 1042*T1^8*T2^9 - 1183*T1^9*T2^9 - 119*T1^10*T2^9 + 
     897*T1^11*T2^9 - 767*T1^12*T2^9 + 336*T1^4*T2^10 - 189*T1^5*T2^10 - 
     447*T1^6*T2^10 + 1069*T1^7*T2^10 - 577*T1^8*T2^10 - 119*T1^9*T2^10 + 
     1173*T1^10*T2^10 - 1269*T1^11*T2^10 + 660*T1^12*T2^10 - 279*T1^5*T2^11 + 
     558*T1^6*T2^11 - 429*T1^7*T2^11 - 273*T1^8*T2^11 + 897*T1^9*T2^11 - 
     1269*T1^10*T2^11 + 948*T1^11*T2^11 - 369*T1^12*T2^11 + 111*T1^6*T2^12 - 
     369*T1^7*T2^12 + 660*T1^8*T2^12 - 767*T1^9*T2^12 + 660*T1^10*T2^12 - 
     369*T1^11*T2^12 + 111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 570] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-2 + 4*T1 - 6*T1^2 + 6*T1^3 - 6*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
      7*T1*T2 + 10*T1^2*T2 - 9*T1^3*T2 + 9*T1^4*T2 - 5*T1^5*T2 + 2*T1^6*T2 + 
      T1^7*T2 - 6*T2^2 + 10*T1*T2^2 - 6*T1^2*T2^2 + 2*T1^3*T2^2 - 
      2*T1^4*T2^2 - 7*T1^5*T2^2 + 12*T1^6*T2^2 - 8*T1^7*T2^2 + 3*T1^8*T2^2 + 
      6*T2^3 - 9*T1*T2^3 + 2*T1^2*T2^3 - 5*T1^3*T2^3 + 7*T1^4*T2^3 + 
      T1^5*T2^3 - 2*T1^6*T2^3 - 7*T1^7*T2^3 + 6*T1^8*T2^3 - 6*T1^9*T2^3 - 
      6*T2^4 + 9*T1*T2^4 - 2*T1^2*T2^4 + 7*T1^3*T2^4 - 2*T1^4*T2^4 - 
      9*T1^5*T2^4 + 13*T1^6*T2^4 - 8*T1^7*T2^4 + 13*T1^8*T2^4 - 6*T1^9*T2^4 + 
      9*T1^10*T2^4 + 4*T2^5 - 5*T1*T2^5 - 7*T1^2*T2^5 + T1^3*T2^5 - 
      9*T1^4*T2^5 + 7*T1^5*T2^5 - 5*T1^6*T2^5 - 9*T1^7*T2^5 + 4*T1^8*T2^5 - 
      13*T1^9*T2^5 - 9*T1^11*T2^5 - 2*T2^6 + 2*T1*T2^6 + 12*T1^2*T2^6 - 
      2*T1^3*T2^6 + 13*T1^4*T2^6 - 5*T1^5*T2^6 + 12*T1^6*T2^6 + T1^7*T2^6 + 
      13*T1^8*T2^6 - 2*T1^9*T2^6 + 14*T1^10*T2^6 + 6*T1^11*T2^6 + 
      6*T1^12*T2^6 + T1*T2^7 - 8*T1^2*T2^7 - 7*T1^3*T2^7 - 8*T1^4*T2^7 - 
      9*T1^5*T2^7 + T1^6*T2^7 - 11*T1^7*T2^7 - 9*T1^8*T2^7 - 5*T1^9*T2^7 - 
      13*T1^10*T2^7 - 3*T1^11*T2^7 - 12*T1^12*T2^7 + 3*T1^2*T2^8 + 
      6*T1^3*T2^8 + 13*T1^4*T2^8 + 4*T1^5*T2^8 + 13*T1^6*T2^8 - 9*T1^7*T2^8 + 
      28*T1^8*T2^8 - 11*T1^9*T2^8 + 28*T1^10*T2^8 - 9*T1^11*T2^8 + 
      18*T1^12*T2^8 - 6*T1^3*T2^9 - 6*T1^4*T2^9 - 13*T1^5*T2^9 - 
      2*T1^6*T2^9 - 5*T1^7*T2^9 - 11*T1^8*T2^9 + T1^9*T2^9 - 22*T1^10*T2^9 + 
      9*T1^11*T2^9 - 18*T1^12*T2^9 + 9*T1^4*T2^10 + 14*T1^6*T2^10 - 
      13*T1^7*T2^10 + 28*T1^8*T2^10 - 22*T1^9*T2^10 + 32*T1^10*T2^10 - 
      18*T1^11*T2^10 + 18*T1^12*T2^10 - 9*T1^5*T2^11 + 6*T1^6*T2^11 - 
      3*T1^7*T2^11 - 9*T1^8*T2^11 + 9*T1^9*T2^11 - 18*T1^10*T2^11 + 
      15*T1^11*T2^11 - 12*T1^12*T2^11 + 6*T1^6*T2^12 - 12*T1^7*T2^12 + 
      18*T1^8*T2^12 - 18*T1^9*T2^12 + 18*T1^10*T2^12 - 12*T1^11*T2^12 + 
      6*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 571] -> 
  {-(((1 - T + T^2)^2*(1 - T - T^2 - T^3 + T^4))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-3 + 6*T1 - 3*T1^2 + 3*T1^3 - 3*T1^4 + 6*T1^5 - 3*T1^6 + 6*T2 - 
       9*T1*T2 - 3*T1^3*T2 + 3*T1^4*T2 - 9*T1^5*T2 + 3*T1^7*T2 - 3*T2^2 + 
       10*T1^2*T2^2 - 5*T1^3*T2^2 + 4*T1^4*T2^2 + 10*T1^6*T2^2 - 
       10*T1^7*T2^2 + 2*T1^8*T2^2 + 3*T2^3 - 3*T1*T2^3 - 5*T1^2*T2^3 + 
       5*T1^3*T2^3 - 4*T1^4*T2^3 - 2*T1^5*T2^3 - 8*T1^6*T2^3 + 12*T1^7*T2^3 - 
       2*T1^8*T2^3 - T1^9*T2^3 - 3*T2^4 + 3*T1*T2^4 + 4*T1^2*T2^4 - 
       4*T1^3*T2^4 + 4*T1^4*T2^4 + 5*T1^5*T2^4 + 9*T1^6*T2^4 - 7*T1^7*T2^4 - 
       3*T1^8*T2^4 + 2*T1^9*T2^4 + 6*T2^5 - 9*T1*T2^5 - 2*T1^3*T2^5 + 
       5*T1^4*T2^5 - 25*T1^5*T2^5 + 3*T1^6*T2^5 + T1^7*T2^5 + 5*T1^8*T2^5 - 
       6*T1^9*T2^5 + 14*T1^10*T2^5 - 7*T1^11*T2^5 - 3*T2^6 + 10*T1^2*T2^6 - 
       8*T1^3*T2^6 + 9*T1^4*T2^6 + 3*T1^5*T2^6 + 24*T1^6*T2^6 - 
       15*T1^7*T2^6 - 3*T1^8*T2^6 + 8*T1^9*T2^6 - 24*T1^10*T2^6 + 
       4*T1^11*T2^6 + 5*T1^12*T2^6 + 3*T1*T2^7 - 10*T1^2*T2^7 + 
       12*T1^3*T2^7 - 7*T1^4*T2^7 + T1^5*T2^7 - 15*T1^6*T2^7 + 13*T1^7*T2^7 - 
       3*T1^8*T2^7 + 6*T1^10*T2^7 + 13*T1^11*T2^7 - 10*T1^12*T2^7 + 
       2*T1^2*T2^8 - 2*T1^3*T2^8 - 3*T1^4*T2^8 + 5*T1^5*T2^8 - 3*T1^6*T2^8 - 
       3*T1^7*T2^8 + 2*T1^8*T2^8 + 2*T1^9*T2^8 - 10*T1^10*T2^8 - 
       3*T1^11*T2^8 + 5*T1^12*T2^8 - T1^3*T2^9 + 2*T1^4*T2^9 - 6*T1^5*T2^9 + 
       8*T1^6*T2^9 + 2*T1^8*T2^9 - 5*T1^9*T2^9 + 11*T1^10*T2^9 + 
       3*T1^11*T2^9 - 5*T1^12*T2^9 + 14*T1^5*T2^10 - 24*T1^6*T2^10 + 
       6*T1^7*T2^10 - 10*T1^8*T2^10 + 11*T1^9*T2^10 - 24*T1^10*T2^10 + 
       4*T1^11*T2^10 + 5*T1^12*T2^10 - 7*T1^5*T2^11 + 4*T1^6*T2^11 + 
       13*T1^7*T2^11 - 3*T1^8*T2^11 + 3*T1^9*T2^11 + 4*T1^10*T2^11 + 
       13*T1^11*T2^11 - 10*T1^12*T2^11 + 5*T1^6*T2^12 - 10*T1^7*T2^12 + 
       5*T1^8*T2^12 - 5*T1^9*T2^12 + 5*T1^10*T2^12 - 10*T1^11*T2^12 + 
       5*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 572] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-15 + 53*T1 - 106*T1^2 + 129*T1^3 - 106*T1^4 + 53*T1^5 - 15*T1^6 + 
     53*T2 - 162*T1*T2 + 285*T1^2*T2 - 277*T1^3*T2 + 157*T1^4*T2 - 
     9*T1^5*T2 - 36*T1^6*T2 + 25*T1^7*T2 - 106*T2^2 + 285*T1*T2^2 - 
     380*T1^2*T2^2 + 144*T1^3*T2^2 + 212*T1^4*T2^2 - 416*T1^5*T2^2 + 
     292*T1^6*T2^2 - 107*T1^7*T2^2 + 6*T1^8*T2^2 + 129*T2^3 - 277*T1*T2^3 + 
     144*T1^2*T2^3 + 312*T1^3*T2^3 - 575*T1^4*T2^3 + 321*T1^5*T2^3 + 
     192*T1^6*T2^3 - 402*T1^7*T2^3 + 241*T1^8*T2^3 - 75*T1^9*T2^3 - 
     106*T2^4 + 157*T1*T2^4 + 212*T1^2*T2^4 - 575*T1^3*T2^4 + 500*T1^4*T2^4 + 
     164*T1^5*T2^4 - 536*T1^6*T2^4 + 377*T1^7*T2^4 + 114*T1^8*T2^4 - 
     151*T1^9*T2^4 + 118*T1^10*T2^4 + 53*T2^5 - 9*T1*T2^5 - 416*T1^2*T2^5 + 
     321*T1^3*T2^5 + 164*T1^4*T2^5 - 1016*T1^5*T2^5 + 818*T1^6*T2^5 - 
     228*T1^7*T2^5 - 463*T1^8*T2^5 + 186*T1^9*T2^5 - 107*T1^10*T2^5 - 
     87*T1^11*T2^5 - 15*T2^6 - 36*T1*T2^6 + 292*T1^2*T2^6 + 192*T1^3*T2^6 - 
     536*T1^4*T2^6 + 818*T1^5*T2^6 + 276*T1^6*T2^6 - 918*T1^7*T2^6 + 
     1172*T1^8*T2^6 - 216*T1^9*T2^6 + 40*T1^10*T2^6 + 188*T1^11*T2^6 + 
     33*T1^12*T2^6 + 25*T1*T2^7 - 107*T1^2*T2^7 - 402*T1^3*T2^7 + 
     377*T1^4*T2^7 - 228*T1^5*T2^7 - 918*T1^6*T2^7 + 916*T1^7*T2^7 - 
     620*T1^8*T2^7 - 407*T1^9*T2^7 + 200*T1^10*T2^7 - 205*T1^11*T2^7 - 
     115*T1^12*T2^7 + 6*T1^2*T2^8 + 241*T1^3*T2^8 + 114*T1^4*T2^8 - 
     463*T1^5*T2^8 + 1172*T1^6*T2^8 - 620*T1^7*T2^8 + 136*T1^8*T2^8 + 
     489*T1^9*T2^8 + 16*T1^10*T2^8 - 67*T1^11*T2^8 + 230*T1^12*T2^8 - 
     75*T1^3*T2^9 - 151*T1^4*T2^9 + 186*T1^5*T2^9 - 216*T1^6*T2^9 - 
     407*T1^7*T2^9 + 489*T1^8*T2^9 - 336*T1^9*T2^9 - 360*T1^10*T2^9 + 
     367*T1^11*T2^9 - 279*T1^12*T2^9 + 118*T1^4*T2^10 - 107*T1^5*T2^10 + 
     40*T1^6*T2^10 + 200*T1^7*T2^10 + 16*T1^8*T2^10 - 360*T1^9*T2^10 + 
     712*T1^10*T2^10 - 499*T1^11*T2^10 + 230*T1^12*T2^10 - 87*T1^5*T2^11 + 
     188*T1^6*T2^11 - 205*T1^7*T2^11 - 67*T1^8*T2^11 + 367*T1^9*T2^11 - 
     499*T1^10*T2^11 + 314*T1^11*T2^11 - 115*T1^12*T2^11 + 33*T1^6*T2^12 - 
     115*T1^7*T2^12 + 230*T1^8*T2^12 - 279*T1^9*T2^12 + 230*T1^10*T2^12 - 
     115*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 573] -> 
  {-(((1 - T + T^2)*(2 - 5*T + 5*T^2 - 5*T^3 + 2*T^4))/T^3), 
   -((-23 + 81*T1 - 140*T1^2 + 175*T1^3 - 140*T1^4 + 81*T1^5 - 23*T1^6 + 
      81*T2 - 232*T1*T2 + 305*T1^2*T2 - 291*T1^3*T2 + 87*T1^4*T2 + 
      39*T1^5*T2 - 106*T1^6*T2 + 53*T1^7*T2 - 140*T2^2 + 305*T1*T2^2 - 
      259*T1^2*T2^2 + 160*T1^3*T2^2 + 199*T1^4*T2^2 - 224*T1^5*T2^2 + 
      221*T1^6*T2^2 - 31*T1^7*T2^2 - 44*T1^8*T2^2 + 175*T2^3 - 291*T1*T2^3 + 
      160*T1^2*T2^3 - 102*T1^3*T2^3 - 354*T1^4*T2^3 + 204*T1^5*T2^3 - 
      168*T1^6*T2^3 - 164*T1^7*T2^3 + 171*T1^8*T2^3 - 5*T1^9*T2^3 - 
      140*T2^4 + 87*T1*T2^4 + 199*T1^2*T2^4 - 354*T1^3*T2^4 + 911*T1^4*T2^4 - 
      425*T1^5*T2^4 + 191*T1^6*T2^4 + 306*T1^7*T2^4 - 119*T1^8*T2^4 - 
      165*T1^9*T2^4 + 52*T1^10*T2^4 + 81*T2^5 + 39*T1*T2^5 - 224*T1^2*T2^5 + 
      204*T1^3*T2^5 - 425*T1^4*T2^5 - 344*T1^5*T2^5 + 358*T1^6*T2^5 - 
      401*T1^7*T2^5 - 150*T1^8*T2^5 + 340*T1^9*T2^5 + 25*T1^10*T2^5 - 
      59*T1^11*T2^5 - 23*T2^6 - 106*T1*T2^6 + 221*T1^2*T2^6 - 168*T1^3*T2^6 + 
      191*T1^4*T2^6 + 358*T1^5*T2^6 - 60*T1^6*T2^6 - 154*T1^7*T2^6 + 
      419*T1^8*T2^6 - 192*T1^9*T2^6 - 287*T1^10*T2^6 + 118*T1^11*T2^6 + 
      25*T1^12*T2^6 + 53*T1*T2^7 - 31*T1^2*T2^7 - 164*T1^3*T2^7 + 
      306*T1^4*T2^7 - 401*T1^5*T2^7 - 154*T1^6*T2^7 + 548*T1^7*T2^7 - 
      377*T1^8*T2^7 - 48*T1^9*T2^7 + 400*T1^10*T2^7 - 45*T1^11*T2^7 - 
      87*T1^12*T2^7 - 44*T1^2*T2^8 + 171*T1^3*T2^8 - 119*T1^4*T2^8 - 
      150*T1^5*T2^8 + 419*T1^6*T2^8 - 377*T1^7*T2^8 - 301*T1^8*T2^8 + 
      510*T1^9*T2^8 - 437*T1^10*T2^8 - 81*T1^11*T2^8 + 148*T1^12*T2^8 - 
      5*T1^3*T2^9 - 165*T1^4*T2^9 + 340*T1^5*T2^9 - 192*T1^6*T2^9 - 
      48*T1^7*T2^9 + 510*T1^8*T2^9 - 258*T1^9*T2^9 + 16*T1^10*T2^9 + 
      297*T1^11*T2^9 - 185*T1^12*T2^9 + 52*T1^4*T2^10 + 25*T1^5*T2^10 - 
      287*T1^6*T2^10 + 400*T1^7*T2^10 - 437*T1^8*T2^10 + 16*T1^9*T2^10 + 
      193*T1^10*T2^10 - 311*T1^11*T2^10 + 148*T1^12*T2^10 - 59*T1^5*T2^11 + 
      118*T1^6*T2^11 - 45*T1^7*T2^11 - 81*T1^8*T2^11 + 297*T1^9*T2^11 - 
      311*T1^10*T2^11 + 244*T1^11*T2^11 - 87*T1^12*T2^11 + 25*T1^6*T2^12 - 
      87*T1^7*T2^12 + 148*T1^8*T2^12 - 185*T1^9*T2^12 + 148*T1^10*T2^12 - 
      87*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 574] -> 
  {((1 - T + T^2)^2*(1 + T - T^2 - T^3 - T^4 + T^5 + T^6))/T^5, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-10 + 10*T1^2 - 10*T1^3 + 10*T1^4 - 10*T1^5 + 10*T1^6 - 10*T1^8 - 
      T1*T2 + T1^3*T2 - T1^4*T2 + T1^5*T2 - T1^6*T2 + T1^7*T2 - T1^9*T2 + 
      10*T2^2 - T1^2*T2^2 + 10*T1^3*T2^2 - 19*T1^4*T2^2 + 19*T1^5*T2^2 - 
      19*T1^6*T2^2 + 9*T1^7*T2^2 + T1^8*T2^2 + 9*T1^10*T2^2 - 10*T2^3 + 
      T1*T2^3 + 10*T1^2*T2^3 - 9*T1^3*T2^3 + 9*T1^4*T2^3 - 9*T1^5*T2^3 + 
      5*T1^6*T2^3 + T1^7*T2^3 - 8*T1^8*T2^3 + 5*T1^9*T2^3 - 4*T1^11*T2^3 + 
      10*T2^4 - T1*T2^4 - 19*T1^2*T2^4 + 9*T1^3*T2^4 + 2*T1^4*T2^4 + 
      2*T1^5*T2^4 - 4*T1^6*T2^4 - 3*T1^7*T2^4 + 13*T1^8*T2^4 + 2*T1^9*T2^4 - 
      14*T1^10*T2^4 + 5*T1^12*T2^4 - 10*T2^5 + T1*T2^5 + 19*T1^2*T2^5 - 
      9*T1^3*T2^5 + 2*T1^4*T2^5 - 8*T1^5*T2^5 + 4*T1^6*T2^5 + 8*T1^7*T2^5 - 
      17*T1^8*T2^5 + 3*T1^9*T2^5 + T1^10*T2^5 + 10*T1^11*T2^5 - 
      6*T1^13*T2^5 + 10*T2^6 - T1*T2^6 - 19*T1^2*T2^6 + 5*T1^3*T2^6 - 
      4*T1^4*T2^6 + 4*T1^5*T2^6 - 2*T1^6*T2^6 - 7*T1^7*T2^6 + 17*T1^8*T2^6 - 
      3*T1^9*T2^6 - 2*T1^10*T2^6 - 5*T1^11*T2^6 - 6*T1^12*T2^6 + T1^14*T2^6 + 
      T1*T2^7 + 9*T1^2*T2^7 + T1^3*T2^7 - 3*T1^4*T2^7 + 8*T1^5*T2^7 - 
      7*T1^6*T2^7 + 4*T1^7*T2^7 - 4*T1^8*T2^7 - 3*T1^9*T2^7 + 9*T1^10*T2^7 - 
      3*T1^11*T2^7 + 4*T1^12*T2^7 + 5*T1^13*T2^7 + T1^15*T2^7 - 10*T2^8 + 
      T1^2*T2^8 - 8*T1^3*T2^8 + 13*T1^4*T2^8 - 17*T1^5*T2^8 + 17*T1^6*T2^8 - 
      4*T1^7*T2^8 + 4*T1^9*T2^8 - 11*T1^10*T2^8 + 5*T1^11*T2^8 - 
      5*T1^12*T2^8 - T1^14*T2^8 - T1*T2^9 + 5*T1^3*T2^9 + 2*T1^4*T2^9 + 
      3*T1^5*T2^9 - 3*T1^6*T2^9 - 3*T1^7*T2^9 + 4*T1^8*T2^9 - 4*T1^9*T2^9 + 
      T1^10*T2^9 - 2*T1^11*T2^9 + 3*T1^12*T2^9 + 5*T1^13*T2^9 + T1^14*T2^9 - 
      T1^15*T2^9 + 9*T1^2*T2^10 - 14*T1^4*T2^10 + T1^5*T2^10 - 2*T1^6*T2^10 + 
      9*T1^7*T2^10 - 11*T1^8*T2^10 + T1^9*T2^10 + 8*T1^10*T2^10 + 
      2*T1^11*T2^10 - 9*T1^13*T2^10 - T1^14*T2^10 + T1^15*T2^10 - 
      4*T1^3*T2^11 + 10*T1^5*T2^11 - 5*T1^6*T2^11 - 3*T1^7*T2^11 + 
      5*T1^8*T2^11 - 2*T1^9*T2^11 + 2*T1^10*T2^11 - 4*T1^11*T2^11 - 
      2*T1^12*T2^11 + 5*T1^13*T2^11 + T1^14*T2^11 - T1^15*T2^11 + 
      5*T1^4*T2^12 - 6*T1^6*T2^12 + 4*T1^7*T2^12 - 5*T1^8*T2^12 + 
      3*T1^9*T2^12 - 2*T1^11*T2^12 + 6*T1^12*T2^12 - 3*T1^13*T2^12 - 
      T1^14*T2^12 + T1^15*T2^12 - 6*T1^5*T2^13 + 5*T1^7*T2^13 + 
      5*T1^9*T2^13 - 9*T1^10*T2^13 + 5*T1^11*T2^13 - 3*T1^12*T2^13 + 
      T1^13*T2^13 - T1^15*T2^13 + T1^6*T2^14 - T1^8*T2^14 + T1^9*T2^14 - 
      T1^10*T2^14 + T1^11*T2^14 - T1^12*T2^14 + T1^14*T2^14 + T1^7*T2^15 - 
      T1^9*T2^15 + T1^10*T2^15 - T1^11*T2^15 + T1^12*T2^15 - T1^13*T2^15 + 
      T1^15*T2^15))/(T1^11*T2^10*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 575] -> 
  {((1 - T + T^2)*(2 - T - 2*T^2 + 3*T^3 - 2*T^4 - T^5 + 2*T^6))/T^4, 
   -((65 - 97*T1 + 32*T1^2 + 130*T1^3 - 227*T1^4 + 130*T1^5 + 32*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 79*T1^2*T2 - 236*T1^3*T2 + 
      169*T1^4*T2 + 103*T1^5*T2 - 218*T1^6*T2 + 103*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 + 32*T2^2 + 79*T1*T2^2 - 150*T1^2*T2^2 + 91*T1^3*T2^2 + 
      154*T1^4*T2^2 - 332*T1^5*T2^2 + 186*T1^6*T2^2 + 63*T1^7*T2^2 - 
      146*T1^8*T2^2 + 91*T1^9*T2^2 + 24*T1^10*T2^2 + 130*T2^3 - 236*T1*T2^3 + 
      91*T1^2*T2^3 + 327*T1^3*T2^3 - 598*T1^4*T2^3 + 335*T1^5*T2^3 + 
      230*T1^6*T2^3 - 493*T1^7*T2^3 + 291*T1^8*T2^3 + 52*T1^9*T2^3 - 
      158*T1^10*T2^3 + 82*T1^11*T2^3 - 227*T2^4 + 169*T1*T2^4 + 
      154*T1^2*T2^4 - 598*T1^3*T2^4 + 472*T1^4*T2^4 + 211*T1^5*T2^4 - 
      664*T1^6*T2^4 + 411*T1^7*T2^4 + 136*T1^8*T2^4 - 398*T1^9*T2^4 + 
      138*T1^10*T2^4 + 49*T1^11*T2^4 - 115*T1^12*T2^4 + 130*T2^5 + 
      103*T1*T2^5 - 332*T1^2*T2^5 + 335*T1^3*T2^5 + 211*T1^4*T2^5 - 
      725*T1^5*T2^5 + 505*T1^6*T2^5 + 200*T1^7*T2^5 - 565*T1^8*T2^5 + 
      349*T1^9*T2^5 + 132*T1^10*T2^5 - 191*T1^11*T2^5 + 97*T1^12*T2^5 + 
      50*T1^13*T2^5 + 32*T2^6 - 218*T1*T2^6 + 186*T1^2*T2^6 + 230*T1^3*T2^6 - 
      664*T1^4*T2^6 + 505*T1^5*T2^6 + 267*T1^6*T2^6 - 799*T1^7*T2^6 + 
      503*T1^8*T2^6 + 123*T1^9*T2^6 - 402*T1^10*T2^6 + 188*T1^11*T2^6 + 
      58*T1^12*T2^6 - 86*T1^13*T2^6 + 8*T1^14*T2^6 - 97*T2^7 + 103*T1*T2^7 + 
      63*T1^2*T2^7 - 493*T1^3*T2^7 + 411*T1^4*T2^7 + 200*T1^5*T2^7 - 
      799*T1^6*T2^7 + 643*T1^7*T2^7 + 149*T1^8*T2^7 - 595*T1^9*T2^7 + 
      351*T1^10*T2^7 + 25*T1^11*T2^7 - 218*T1^12*T2^7 + 36*T1^13*T2^7 + 
      7*T1^14*T2^7 - 13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 146*T1^2*T2^8 + 
      291*T1^3*T2^8 + 136*T1^4*T2^8 - 565*T1^5*T2^8 + 503*T1^6*T2^8 + 
      149*T1^7*T2^8 - 732*T1^8*T2^8 + 527*T1^9*T2^8 + 67*T1^10*T2^8 - 
      299*T1^11*T2^8 + 236*T1^12*T2^8 + 57*T1^13*T2^8 - 24*T1^14*T2^8 + 
      18*T1^15*T2^8 + T1^16*T2^8 - 85*T1*T2^9 + 91*T1^2*T2^9 + 52*T1^3*T2^9 - 
      398*T1^4*T2^9 + 349*T1^5*T2^9 + 123*T1^6*T2^9 - 595*T1^7*T2^9 + 
      527*T1^8*T2^9 + 33*T1^9*T2^9 - 391*T1^10*T2^9 + 274*T1^11*T2^9 - 
      37*T1^12*T2^9 - 123*T1^13*T2^9 + 25*T1^14*T2^9 - 5*T1^15*T2^9 - 
      T1^16*T2^9 + 24*T1^2*T2^10 - 158*T1^3*T2^10 + 138*T1^4*T2^10 + 
      132*T1^5*T2^10 - 402*T1^6*T2^10 + 351*T1^7*T2^10 + 67*T1^8*T2^10 - 
      391*T1^9*T2^10 + 303*T1^10*T2^10 - 31*T1^11*T2^10 - 140*T1^12*T2^10 + 
      90*T1^13*T2^10 + 10*T1^14*T2^10 - 26*T1^15*T2^10 + 82*T1^3*T2^11 + 
      49*T1^4*T2^11 - 191*T1^5*T2^11 + 188*T1^6*T2^11 + 25*T1^7*T2^11 - 
      299*T1^8*T2^11 + 274*T1^9*T2^11 - 31*T1^10*T2^11 - 139*T1^11*T2^11 + 
      163*T1^12*T2^11 - 15*T1^13*T2^11 - 50*T1^14*T2^11 + 43*T1^15*T2^11 + 
      2*T1^16*T2^11 - 115*T1^4*T2^12 + 97*T1^5*T2^12 + 58*T1^6*T2^12 - 
      218*T1^7*T2^12 + 236*T1^8*T2^12 - 37*T1^9*T2^12 - 140*T1^10*T2^12 + 
      163*T1^11*T2^12 - 100*T1^12*T2^12 - 18*T1^13*T2^12 + 42*T1^14*T2^12 - 
      23*T1^15*T2^12 - 3*T1^16*T2^12 + 50*T1^5*T2^13 - 86*T1^6*T2^13 + 
      36*T1^7*T2^13 + 57*T1^8*T2^13 - 123*T1^9*T2^13 + 90*T1^10*T2^13 - 
      15*T1^11*T2^13 - 18*T1^12*T2^13 + 21*T1^13*T2^13 - 3*T1^14*T2^13 - 
      8*T1^15*T2^13 + 2*T1^16*T2^13 + 8*T1^6*T2^14 + 7*T1^7*T2^14 - 
      24*T1^8*T2^14 + 25*T1^9*T2^14 + 10*T1^10*T2^14 - 50*T1^11*T2^14 + 
      42*T1^12*T2^14 - 3*T1^13*T2^14 - 20*T1^14*T2^14 + 19*T1^15*T2^14 - 
      13*T1^7*T2^15 + 18*T1^8*T2^15 - 5*T1^9*T2^15 - 26*T1^10*T2^15 + 
      43*T1^11*T2^15 - 23*T1^12*T2^15 - 8*T1^13*T2^15 + 19*T1^14*T2^15 - 
      12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 + 
      2*T1^11*T2^16 - 3*T1^12*T2^16 + 2*T1^13*T2^16 - T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 576] -> 
  {((1 - T + T^2)*(2 - 2*T + T^2 - T^3 + T^4 - 2*T^5 + 2*T^6))/T^4, 
   -((65 - 129*T1 + 160*T1^2 - 126*T1^3 + 93*T1^4 - 126*T1^5 + 160*T1^6 - 
      129*T1^7 + 65*T1^8 - 129*T2 + 144*T1*T2 - 95*T1^2*T2 - 26*T1^3*T2 + 
      33*T1^4*T2 + 89*T1^5*T2 - 98*T1^6*T2 - 23*T1^7*T2 + 96*T1^8*T2 - 
      113*T1^9*T2 + 160*T2^2 - 95*T1*T2^2 + 60*T1^2*T2^2 + 19*T1^3*T2^2 + 
      74*T1^4*T2^2 - 208*T1^5*T2^2 + 114*T1^6*T2^2 + 19*T1^7*T2^2 - 
      15*T1^9*T2^2 + 120*T1^10*T2^2 - 126*T2^3 - 26*T1*T2^3 + 19*T1^2*T2^3 - 
      60*T1^3*T2^3 - 65*T1^4*T2^3 + 115*T1^5*T2^3 + 39*T1^6*T2^3 - 
      77*T1^7*T2^3 - 24*T1^8*T2^3 + 19*T1^9*T2^3 - 82*T1^10*T2^3 - 
      78*T1^11*T2^3 + 93*T2^4 + 33*T1*T2^4 + 74*T1^2*T2^4 - 65*T1^3*T2^4 + 
      154*T1^4*T2^4 - 113*T1^5*T2^4 - 8*T1^6*T2^4 - 49*T1^7*T2^4 + 
      130*T1^8*T2^4 - 65*T1^9*T2^4 + 82*T1^10*T2^4 + 65*T1^11*T2^4 + 
      45*T1^12*T2^4 - 126*T2^5 + 89*T1*T2^5 - 208*T1^2*T2^5 + 115*T1^3*T2^5 - 
      113*T1^4*T2^5 + 84*T1^5*T2^5 - 66*T1^6*T2^5 + 110*T1^7*T2^5 - 
      84*T1^8*T2^5 - 29*T1^9*T2^5 + 15*T1^10*T2^5 - 112*T1^11*T2^5 + 
      T1^12*T2^5 - 46*T1^13*T2^5 + 160*T2^6 - 98*T1*T2^6 + 114*T1^2*T2^6 + 
      39*T1^3*T2^6 - 8*T1^4*T2^6 - 66*T1^5*T2^6 + 35*T1^6*T2^6 + 
      43*T1^7*T2^6 - 85*T1^8*T2^6 + 110*T1^9*T2^6 - 22*T1^10*T2^6 + 
      79*T1^11*T2^6 + 10*T1^12*T2^6 + 14*T1^13*T2^6 + 40*T1^14*T2^6 - 
      129*T2^7 - 23*T1*T2^7 + 19*T1^2*T2^7 - 77*T1^3*T2^7 - 49*T1^4*T2^7 + 
      110*T1^5*T2^7 + 43*T1^6*T2^7 - 104*T1^7*T2^7 + 4*T1^8*T2^7 + 
      35*T1^9*T2^7 - 66*T1^10*T2^7 - 53*T1^11*T2^7 - 17*T1^12*T2^7 + 
      19*T1^13*T2^7 - 47*T1^14*T2^7 - 17*T1^15*T2^7 + 65*T2^8 + 96*T1*T2^8 - 
      24*T1^3*T2^8 + 130*T1^4*T2^8 - 84*T1^5*T2^8 - 85*T1^6*T2^8 + 
      4*T1^7*T2^8 + 132*T1^8*T2^8 - 92*T1^9*T2^8 + 39*T1^10*T2^8 + 
      60*T1^11*T2^8 + 46*T1^12*T2^8 - 40*T1^13*T2^8 + 24*T1^14*T2^8 + 
      32*T1^15*T2^8 + T1^16*T2^8 - 113*T1*T2^9 - 15*T1^2*T2^9 + 
      19*T1^3*T2^9 - 65*T1^4*T2^9 - 29*T1^5*T2^9 + 110*T1^6*T2^9 + 
      35*T1^7*T2^9 - 92*T1^8*T2^9 + 16*T1^9*T2^9 + 27*T1^10*T2^9 - 
      66*T1^11*T2^9 - 33*T1^12*T2^9 - 5*T1^13*T2^9 + 19*T1^14*T2^9 - 
      39*T1^15*T2^9 - T1^16*T2^9 + 120*T1^2*T2^10 - 82*T1^3*T2^10 + 
      82*T1^4*T2^10 + 15*T1^5*T2^10 - 22*T1^6*T2^10 - 66*T1^7*T2^10 + 
      39*T1^8*T2^10 + 27*T1^9*T2^10 - 81*T1^10*T2^10 + 110*T1^11*T2^10 - 
      36*T1^12*T2^10 + 55*T1^13*T2^10 - 22*T1^14*T2^10 + 30*T1^15*T2^10 - 
      78*T1^3*T2^11 + 65*T1^4*T2^11 - 112*T1^5*T2^11 + 79*T1^6*T2^11 - 
      53*T1^7*T2^11 + 60*T1^8*T2^11 - 66*T1^9*T2^11 + 110*T1^10*T2^11 - 
      108*T1^11*T2^11 + 31*T1^12*T2^11 - 21*T1^13*T2^11 - 16*T1^14*T2^11 - 
      23*T1^15*T2^11 + 2*T1^16*T2^11 + 45*T1^4*T2^12 + T1^5*T2^12 + 
      10*T1^6*T2^12 - 17*T1^7*T2^12 + 46*T1^8*T2^12 - 33*T1^9*T2^12 - 
      36*T1^10*T2^12 + 31*T1^11*T2^12 + 22*T1^12*T2^12 - 17*T1^13*T2^12 + 
      18*T1^14*T2^12 + 33*T1^15*T2^12 - 3*T1^16*T2^12 - 46*T1^5*T2^13 + 
      14*T1^6*T2^13 + 19*T1^7*T2^13 - 40*T1^8*T2^13 - 5*T1^9*T2^13 + 
      55*T1^10*T2^13 - 21*T1^11*T2^13 - 17*T1^12*T2^13 - 4*T1^13*T2^13 + 
      19*T1^14*T2^13 - 42*T1^15*T2^13 + 2*T1^16*T2^13 + 40*T1^6*T2^14 - 
      47*T1^7*T2^14 + 24*T1^8*T2^14 + 19*T1^9*T2^14 - 22*T1^10*T2^14 - 
      16*T1^11*T2^14 + 18*T1^12*T2^14 + 19*T1^13*T2^14 - 36*T1^14*T2^14 + 
      33*T1^15*T2^14 - 17*T1^7*T2^15 + 32*T1^8*T2^15 - 39*T1^9*T2^15 + 
      30*T1^10*T2^15 - 23*T1^11*T2^15 + 33*T1^12*T2^15 - 42*T1^13*T2^15 + 
      33*T1^14*T2^15 - 16*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - 
      T1^9*T2^16 + 2*T1^11*T2^16 - 3*T1^12*T2^16 + 2*T1^13*T2^16 - 
      T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 577] -> {(1 - T + T^2)^3/T^3, 
   (-4 + 12*T1 - 24*T1^2 + 28*T1^3 - 24*T1^4 + 12*T1^5 - 4*T1^6 + 12*T2 - 
     27*T1*T2 + 45*T1^2*T2 - 30*T1^3*T2 + 9*T1^4*T2 + 18*T1^5*T2 - 
     15*T1^6*T2 + 9*T1^7*T2 - 24*T2^2 + 45*T1*T2^2 - 86*T1^2*T2^2 + 
     66*T1^3*T2^2 - 60*T1^4*T2^2 + 18*T1^5*T2^2 - 26*T1^6*T2^2 + 
     9*T1^7*T2^2 - 12*T1^8*T2^2 + 28*T2^3 - 30*T1*T2^3 + 66*T1^2*T2^3 - 
     T1^3*T2^3 + 5*T1^4*T2^3 + 50*T1^5*T2^3 + 5*T1^6*T2^3 + 12*T1^7*T2^3 + 
     15*T1^8*T2^3 + 7*T1^9*T2^3 - 24*T2^4 + 9*T1*T2^4 - 60*T1^2*T2^4 + 
     5*T1^3*T2^4 - 92*T1^4*T2^4 + 60*T1^5*T2^4 - 140*T1^6*T2^4 + 
     47*T1^7*T2^4 - 42*T1^8*T2^4 - 21*T1^9*T2^4 + 12*T2^5 + 18*T1*T2^5 + 
     18*T1^2*T2^5 + 50*T1^3*T2^5 + 60*T1^4*T2^5 - 19*T1^5*T2^5 + 
     101*T1^6*T2^5 + 24*T1^7*T2^5 - T1^8*T2^5 + 48*T1^9*T2^5 + 9*T1^10*T2^5 - 
     3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 - 26*T1^2*T2^6 + 5*T1^3*T2^6 - 
     140*T1^4*T2^6 + 101*T1^5*T2^6 - 132*T1^6*T2^6 - 25*T1^7*T2^6 + 
     4*T1^8*T2^6 - 37*T1^9*T2^6 - 26*T1^10*T2^6 + 3*T1^11*T2^6 + 
     2*T1^12*T2^6 + 9*T1*T2^7 + 9*T1^2*T2^7 + 12*T1^3*T2^7 + 47*T1^4*T2^7 + 
     24*T1^5*T2^7 - 25*T1^6*T2^7 + 95*T1^7*T2^7 - 12*T1^8*T2^7 - 
     4*T1^9*T2^7 + 42*T1^10*T2^7 - 6*T1^12*T2^7 - 12*T1^2*T2^8 + 
     15*T1^3*T2^8 - 42*T1^4*T2^8 - T1^5*T2^8 + 4*T1^6*T2^8 - 12*T1^7*T2^8 - 
     44*T1^8*T2^8 + 41*T1^9*T2^8 - 24*T1^10*T2^8 - 15*T1^11*T2^8 + 
     12*T1^12*T2^8 + 7*T1^3*T2^9 - 21*T1^4*T2^9 + 48*T1^5*T2^9 - 
     37*T1^6*T2^9 - 4*T1^7*T2^9 + 41*T1^8*T2^9 - 31*T1^9*T2^9 - 
     6*T1^10*T2^9 + 24*T1^11*T2^9 - 14*T1^12*T2^9 + 9*T1^5*T2^10 - 
     26*T1^6*T2^10 + 42*T1^7*T2^10 - 24*T1^8*T2^10 - 6*T1^9*T2^10 + 
     34*T1^10*T2^10 - 27*T1^11*T2^10 + 12*T1^12*T2^10 - 3*T1^5*T2^11 + 
     3*T1^6*T2^11 - 15*T1^8*T2^11 + 24*T1^9*T2^11 - 27*T1^10*T2^11 + 
     15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
     12*T1^8*T2^12 - 14*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 578] -> 
  {-(((1 - T + T^2)*(3 - 8*T + 9*T^2 - 8*T^3 + 3*T^4))/T^3), 
   -((-84 + 306*T1 - 556*T1^2 + 696*T1^3 - 556*T1^4 + 306*T1^5 - 84*T1^6 + 
      306*T2 - 909*T1*T2 + 1275*T1^2*T2 - 1170*T1^3*T2 + 315*T1^4*T2 + 
      252*T1^5*T2 - 447*T1^6*T2 + 207*T1^7*T2 - 556*T2^2 + 1275*T1*T2^2 - 
      1161*T1^2*T2^2 + 416*T1^3*T2^2 + 1161*T1^4*T2^2 - 1264*T1^5*T2^2 + 
      879*T1^6*T2^2 - 45*T1^7*T2^2 - 196*T1^8*T2^2 + 696*T2^3 - 
      1170*T1*T2^3 + 416*T1^2*T2^3 + 543*T1^3*T2^3 - 2038*T1^4*T2^3 + 
      887*T1^5*T2^3 + 23*T1^6*T2^3 - 1004*T1^7*T2^3 + 645*T1^8*T2^3 + 
      21*T1^9*T2^3 - 556*T2^4 + 315*T1*T2^4 + 1161*T1^2*T2^4 - 
      2038*T1^3*T2^4 + 2757*T1^4*T2^4 - 183*T1^5*T2^4 - 863*T1^6*T2^4 + 
      1312*T1^7*T2^4 - 89*T1^8*T2^4 - 675*T1^9*T2^4 + 164*T1^10*T2^4 + 
      306*T2^5 + 252*T1*T2^5 - 1264*T1^2*T2^5 + 887*T1^3*T2^5 - 
      183*T1^4*T2^5 - 2449*T1^5*T2^5 + 1901*T1^6*T2^5 - 503*T1^7*T2^5 - 
      1188*T1^8*T2^5 + 1196*T1^9*T2^5 + 87*T1^10*T2^5 - 189*T1^11*T2^5 - 
      84*T2^6 - 447*T1*T2^6 + 879*T1^2*T2^6 + 23*T1^3*T2^6 - 863*T1^4*T2^6 + 
      1901*T1^5*T2^6 - 72*T1^6*T2^6 - 1665*T1^7*T2^6 + 1717*T1^8*T2^6 - 
      447*T1^9*T2^6 - 965*T1^10*T2^6 + 411*T1^11*T2^6 + 78*T1^12*T2^6 + 
      207*T1*T2^7 - 45*T1^2*T2^7 - 1004*T1^3*T2^7 + 1312*T1^4*T2^7 - 
      503*T1^5*T2^7 - 1665*T1^6*T2^7 + 2685*T1^7*T2^7 - 823*T1^8*T2^7 - 
      763*T1^9*T2^7 + 1456*T1^10*T2^7 - 210*T1^11*T2^7 - 288*T1^12*T2^7 - 
      196*T1^2*T2^8 + 645*T1^3*T2^8 - 89*T1^4*T2^8 - 1188*T1^5*T2^8 + 
      1717*T1^6*T2^8 - 823*T1^7*T2^8 - 1903*T1^8*T2^8 + 2162*T1^9*T2^8 - 
      1339*T1^10*T2^8 - 345*T1^11*T2^8 + 524*T1^12*T2^8 + 21*T1^3*T2^9 - 
      675*T1^4*T2^9 + 1196*T1^5*T2^9 - 447*T1^6*T2^9 - 763*T1^7*T2^9 + 
      2162*T1^8*T2^9 - 967*T1^9*T2^9 - 224*T1^10*T2^9 + 1140*T1^11*T2^9 - 
      654*T1^12*T2^9 + 164*T1^4*T2^10 + 87*T1^5*T2^10 - 965*T1^6*T2^10 + 
      1456*T1^7*T2^10 - 1339*T1^8*T2^10 - 224*T1^9*T2^10 + 1075*T1^10*T2^10 - 
      1233*T1^11*T2^10 + 524*T1^12*T2^10 - 189*T1^5*T2^11 + 411*T1^6*T2^11 - 
      210*T1^7*T2^11 - 345*T1^8*T2^11 + 1140*T1^9*T2^11 - 1233*T1^10*T2^11 + 
      873*T1^11*T2^11 - 288*T1^12*T2^11 + 78*T1^6*T2^12 - 288*T1^7*T2^12 + 
      524*T1^8*T2^12 - 654*T1^9*T2^12 + 524*T1^10*T2^12 - 288*T1^11*T2^12 + 
      78*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 579] -> 
  {(1 - 2*T - 3*T^2 + 9*T^3 - 3*T^4 - 2*T^5 + T^6)/T^3, 
   (-2 + 4*T1 + 6*T1^2 - 18*T1^3 + 6*T1^4 + 4*T1^5 - 2*T1^6 + 4*T2 - 
     8*T1*T2 - 8*T1^2*T2 + 23*T1^3*T2 - T1^4*T2 - 6*T1^5*T2 - 2*T1^6*T2 + 
     2*T1^7*T2 + 6*T2^2 - 8*T1*T2^2 - 36*T1^2*T2^2 + 71*T1^3*T2^2 - 
     12*T1^4*T2^2 + 5*T1^5*T2^2 - 12*T1^6*T2^2 + 4*T1^7*T2^2 - 18*T2^3 + 
     23*T1*T2^3 + 71*T1^2*T2^3 - 71*T1^3*T2^3 - 101*T1^4*T2^3 - 
     56*T1^5*T2^3 + 139*T1^6*T2^3 - 28*T1^7*T2^3 - 25*T1^8*T2^3 + 
     9*T1^9*T2^3 + 6*T2^4 - T1*T2^4 - 12*T1^2*T2^4 - 101*T1^3*T2^4 + 
     185*T1^4*T2^4 + 111*T1^5*T2^4 - 163*T1^6*T2^4 - 65*T1^7*T2^4 + 
     96*T1^8*T2^4 - 13*T1^9*T2^4 - 6*T1^10*T2^4 + 4*T2^5 - 6*T1*T2^5 + 
     5*T1^2*T2^5 - 56*T1^3*T2^5 + 111*T1^4*T2^5 + 31*T1^5*T2^5 - 
     281*T1^6*T2^5 + 312*T1^7*T2^5 - 119*T1^8*T2^5 - 28*T1^9*T2^5 + 
     32*T1^10*T2^5 - 6*T1^11*T2^5 - 2*T2^6 - 2*T1*T2^6 - 12*T1^2*T2^6 + 
     139*T1^3*T2^6 - 163*T1^4*T2^6 - 281*T1^5*T2^6 + 564*T1^6*T2^6 - 
     159*T1^7*T2^6 - 109*T1^8*T2^6 + 109*T1^9*T2^6 - 44*T1^10*T2^6 + 
     2*T1^11*T2^6 + 4*T1^12*T2^6 + 2*T1*T2^7 + 4*T1^2*T2^7 - 28*T1^3*T2^7 - 
     65*T1^4*T2^7 + 312*T1^5*T2^7 - 159*T1^6*T2^7 - 471*T1^7*T2^7 + 
     513*T1^8*T2^7 - 128*T1^9*T2^7 - 61*T1^10*T2^7 + 42*T1^11*T2^7 - 
     8*T1^12*T2^7 - 25*T1^3*T2^8 + 96*T1^4*T2^8 - 119*T1^5*T2^8 - 
     109*T1^6*T2^8 + 513*T1^7*T2^8 - 457*T1^8*T2^8 - 83*T1^9*T2^8 + 
     204*T1^10*T2^8 - 37*T1^11*T2^8 - 12*T1^12*T2^8 + 9*T1^3*T2^9 - 
     13*T1^4*T2^9 - 28*T1^5*T2^9 + 109*T1^6*T2^9 - 128*T1^7*T2^9 - 
     83*T1^8*T2^9 + 319*T1^9*T2^9 - 127*T1^10*T2^9 - 61*T1^11*T2^9 + 
     36*T1^12*T2^9 - 6*T1^4*T2^10 + 32*T1^5*T2^10 - 44*T1^6*T2^10 - 
     61*T1^7*T2^10 + 204*T1^8*T2^10 - 127*T1^9*T2^10 - 20*T1^10*T2^10 + 
     44*T1^11*T2^10 - 12*T1^12*T2^10 - 6*T1^5*T2^11 + 2*T1^6*T2^11 + 
     42*T1^7*T2^11 - 37*T1^8*T2^11 - 61*T1^9*T2^11 + 44*T1^10*T2^11 + 
     8*T1^11*T2^11 - 8*T1^12*T2^11 + 4*T1^6*T2^12 - 8*T1^7*T2^12 - 
     12*T1^8*T2^12 + 36*T1^9*T2^12 - 12*T1^10*T2^12 - 8*T1^11*T2^12 + 
     4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 580] -> {(5 - 16*T + 23*T^2 - 16*T^3 + 5*T^4)/T^2, 
   (-210 + 673*T1 - 964*T1^2 + 673*T1^3 - 210*T1^4 + 673*T2 - 1892*T1*T2 + 
     2218*T1^2*T2 - 902*T1^3*T2 - 212*T1^4*T2 + 273*T1^5*T2 - 964*T2^2 + 
     2218*T1*T2^2 - 1287*T1^2*T2^2 - 1749*T1^3*T2^2 + 2853*T1^4*T2^2 - 
     1462*T1^5*T2^2 + 186*T1^6*T2^2 + 673*T2^3 - 902*T1*T2^3 - 
     1749*T1^2*T2^3 + 5070*T1^3*T2^3 - 4242*T1^4*T2^3 + 459*T1^5*T2^3 + 
     1098*T1^6*T2^3 - 527*T1^7*T2^3 - 210*T2^4 - 212*T1*T2^4 + 
     2853*T1^2*T2^4 - 4242*T1^3*T2^4 + 1152*T1^4*T2^4 + 3374*T1^5*T2^4 - 
     3039*T1^6*T2^4 + 748*T1^7*T2^4 + 290*T1^8*T2^4 + 273*T1*T2^5 - 
     1462*T1^2*T2^5 + 459*T1^3*T2^5 + 3374*T1^4*T2^5 - 5938*T1^5*T2^5 + 
     2667*T1^6*T2^5 + 538*T1^7*T2^5 - 927*T1^8*T2^5 + 186*T1^2*T2^6 + 
     1098*T1^3*T2^6 - 3039*T1^4*T2^6 + 2667*T1^5*T2^6 + 1101*T1^6*T2^6 - 
     2582*T1^7*T2^6 + 1336*T1^8*T2^6 - 527*T1^3*T2^7 + 748*T1^4*T2^7 + 
     538*T1^5*T2^7 - 2582*T1^6*T2^7 + 2428*T1^7*T2^7 - 927*T1^8*T2^7 + 
     290*T1^4*T2^8 - 927*T1^5*T2^8 + 1336*T1^6*T2^8 - 927*T1^7*T2^8 + 
     290*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 581] -> 
  {((1 - T + T^2)*(3 - 2*T - T^2 - 2*T^3 + 3*T^4))/T^3, 
   -((171 - 283*T1 + 224*T1^2 - 165*T1^3 + 224*T1^4 - 283*T1^5 + 171*T1^6 - 
      283*T2 + 231*T1*T2 + 22*T1^2*T2 - 37*T1^3*T2 - 142*T1^4*T2 + 
      157*T1^5*T2 + 111*T1^6*T2 - 238*T1^7*T2 + 224*T2^2 + 22*T1*T2^2 - 
      223*T1^2*T2^2 + 76*T1^3*T2^2 + 83*T1^4*T2^2 + 28*T1^5*T2^2 - 
      247*T1^6*T2^2 + 142*T1^7*T2^2 + 152*T1^8*T2^2 - 165*T2^3 - 37*T1*T2^3 + 
      76*T1^2*T2^3 + 63*T1^3*T2^3 - 103*T1^4*T2^3 + 81*T1^6*T2^3 + 
      24*T1^7*T2^3 - 112*T1^8*T2^3 - 84*T1^9*T2^3 + 224*T2^4 - 142*T1*T2^4 + 
      83*T1^2*T2^4 - 103*T1^3*T2^4 + 137*T1^4*T2^4 - 119*T1^5*T2^4 + 
      29*T1^6*T2^4 + 11*T1^7*T2^4 + 41*T1^8*T2^4 + 8*T1^9*T2^4 + 
      80*T1^10*T2^4 - 283*T2^5 + 157*T1*T2^5 + 28*T1^2*T2^5 - 119*T1^4*T2^5 + 
      143*T1^5*T2^5 - T1^6*T2^5 - 71*T1^7*T2^5 - 81*T1^8*T2^5 + 
      64*T1^9*T2^5 - 38*T1^10*T2^5 - 58*T1^11*T2^5 + 171*T2^6 + 111*T1*T2^6 - 
      247*T1^2*T2^6 + 81*T1^3*T2^6 + 29*T1^4*T2^6 - T1^5*T2^6 - 
      132*T1^6*T2^6 + 105*T1^7*T2^6 + 81*T1^8*T2^6 + 3*T1^9*T2^6 - 
      59*T1^10*T2^6 + 81*T1^11*T2^6 + 9*T1^12*T2^6 - 238*T1*T2^7 + 
      142*T1^2*T2^7 + 24*T1^3*T2^7 + 11*T1^4*T2^7 - 71*T1^5*T2^7 + 
      105*T1^6*T2^7 - 39*T1^7*T2^7 - 23*T1^8*T2^7 - 70*T1^9*T2^7 + 
      60*T1^10*T2^7 - 53*T1^11*T2^7 - 13*T1^12*T2^7 + 152*T1^2*T2^8 - 
      112*T1^3*T2^8 + 41*T1^4*T2^8 - 81*T1^5*T2^8 + 81*T1^6*T2^8 - 
      23*T1^7*T2^8 - 27*T1^8*T2^8 + 33*T1^9*T2^8 - T1^10*T2^8 + 
      38*T1^11*T2^8 + 8*T1^12*T2^8 - 84*T1^3*T2^9 + 8*T1^4*T2^9 + 
      64*T1^5*T2^9 + 3*T1^6*T2^9 - 70*T1^7*T2^9 + 33*T1^8*T2^9 + 
      21*T1^9*T2^9 + 12*T1^10*T2^9 - 67*T1^11*T2^9 - 3*T1^12*T2^9 + 
      80*T1^4*T2^10 - 38*T1^5*T2^10 - 59*T1^6*T2^10 + 60*T1^7*T2^10 - 
      T1^8*T2^10 + 12*T1^9*T2^10 - 83*T1^10*T2^10 + 82*T1^11*T2^10 + 
      8*T1^12*T2^10 - 58*T1^5*T2^11 + 81*T1^6*T2^11 - 53*T1^7*T2^11 + 
      38*T1^8*T2^11 - 67*T1^9*T2^11 + 82*T1^10*T2^11 - 39*T1^11*T2^11 - 
      13*T1^12*T2^11 + 9*T1^6*T2^12 - 13*T1^7*T2^12 + 8*T1^8*T2^12 - 
      3*T1^9*T2^12 + 8*T1^10*T2^12 - 13*T1^11*T2^12 + 9*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 582] -> 
  {(1 - T + T^2)^2/T^2, (2*(-1 + 2*T1 - 3*T1^2 + 2*T1^3 - T1^4 + 2*T2 - 
      3*T1*T2 + 4*T1^2*T2 - T1^3*T2 + T1^5*T2 - 3*T2^2 + 4*T1*T2^2 - 
      14*T1^2*T2^2 + 12*T1^3*T2^2 - 8*T1^4*T2^2 - 2*T1^5*T2^2 + 2*T2^3 - 
      T1*T2^3 + 12*T1^2*T2^3 + T1^3*T2^3 - 5*T1^4*T2^3 + 12*T1^5*T2^3 + 
      2*T1^6*T2^3 - T1^7*T2^3 - T2^4 - 8*T1^2*T2^4 - 5*T1^3*T2^4 - 
      T1^5*T2^4 - 10*T1^6*T2^4 + T1^8*T2^4 + T1*T2^5 - 2*T1^2*T2^5 + 
      12*T1^3*T2^5 - T1^4*T2^5 - 7*T1^5*T2^5 + 12*T1^6*T2^5 + T1^7*T2^5 - 
      2*T1^8*T2^5 + 2*T1^3*T2^6 - 10*T1^4*T2^6 + 12*T1^5*T2^6 - 4*T1^6*T2^6 - 
      4*T1^7*T2^6 + 3*T1^8*T2^6 - T1^3*T2^7 + T1^5*T2^7 - 4*T1^6*T2^7 + 
      3*T1^7*T2^7 - 2*T1^8*T2^7 + T1^4*T2^8 - 2*T1^5*T2^8 + 3*T1^6*T2^8 - 
      2*T1^7*T2^8 + T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 583] -> {-(((1 - T + T^2)*(5 - 11*T + 5*T^2))/T^2), 
   -((-365 + 1148*T1 - 1495*T1^2 + 1148*T1^3 - 365*T1^4 + 1148*T2 - 
      2872*T1*T2 + 2383*T1^2*T2 - 577*T1^3*T2 - 1192*T1^4*T2 + 748*T1^5*T2 - 
      1495*T2^2 + 2383*T1*T2^2 + 763*T1^2*T2^2 - 3569*T1^3*T2^2 + 
      4123*T1^4*T2^2 - 977*T1^5*T2^2 - 445*T1^6*T2^2 + 1148*T2^3 - 
      577*T1*T2^3 - 3569*T1^2*T2^3 + 4744*T1^3*T2^3 - 2648*T1^4*T2^3 - 
      1553*T1^5*T2^3 + 1583*T1^6*T2^3 - 52*T1^7*T2^3 - 365*T2^4 - 
      1192*T1*T2^4 + 4123*T1^2*T2^4 - 2648*T1^3*T2^4 - 1212*T1^4*T2^4 + 
      3944*T1^5*T2^4 - 1969*T1^6*T2^4 - 232*T1^7*T2^4 + 135*T1^8*T2^4 + 
      748*T1*T2^5 - 977*T1^2*T2^5 - 1553*T1^3*T2^5 + 3944*T1^4*T2^5 - 
      3448*T1^5*T2^5 + 463*T1^6*T2^5 + 1183*T1^7*T2^5 - 452*T1^8*T2^5 - 
      445*T1^2*T2^6 + 1583*T1^3*T2^6 - 1969*T1^4*T2^6 + 463*T1^5*T2^6 + 
      1391*T1^6*T2^6 - 1777*T1^7*T2^6 + 605*T1^8*T2^6 - 52*T1^3*T2^7 - 
      232*T1^4*T2^7 + 1183*T1^5*T2^7 - 1777*T1^6*T2^7 + 1448*T1^7*T2^7 - 
      452*T1^8*T2^7 + 135*T1^4*T2^8 - 452*T1^5*T2^8 + 605*T1^6*T2^8 - 
      452*T1^7*T2^8 + 135*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 584] -> 
  {(1 - 8*T + 22*T^2 - 29*T^3 + 22*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 88*T1^2 + 116*T1^3 - 88*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 511*T1^2*T2 - 399*T1^3*T2 + 9*T1^4*T2 + 271*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 88*T2^2 + 511*T1*T2^2 - 440*T1^2*T2^2 - 
     1305*T1^3*T2^2 + 2634*T1^4*T2^2 - 2229*T1^5*T2^2 + 484*T1^6*T2^2 + 
     159*T1^7*T2^2 - 44*T1^8*T2^2 + 116*T2^3 - 399*T1*T2^3 - 1305*T1^2*T2^3 + 
     5369*T1^3*T2^3 - 5198*T1^4*T2^3 + 1168*T1^5*T2^3 + 2699*T1^6*T2^3 - 
     1635*T1^7*T2^3 + 121*T1^8*T2^3 + 29*T1^9*T2^3 - 88*T2^4 + 9*T1*T2^4 + 
     2634*T1^2*T2^4 - 5198*T1^3*T2^4 - 921*T1^4*T2^4 + 8025*T1^5*T2^4 - 
     8817*T1^6*T2^4 + 1994*T1^7*T2^4 + 858*T1^8*T2^4 - 231*T1^9*T2^4 + 
     32*T2^5 + 271*T1*T2^5 - 2229*T1^2*T2^5 + 1168*T1^3*T2^5 + 
     8025*T1^4*T2^5 - 11622*T1^5*T2^5 + 5436*T1^6*T2^5 + 3845*T1^7*T2^5 - 
     3546*T1^8*T2^5 + 477*T1^9*T2^5 + 63*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 484*T1^2*T2^6 + 2699*T1^3*T2^6 - 8817*T1^4*T2^6 + 
     5436*T1^5*T2^6 + 4488*T1^6*T2^6 - 9564*T1^7*T2^6 + 4219*T1^8*T2^6 + 
     413*T1^9*T2^6 - 464*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 159*T1^2*T2^7 - 1635*T1^3*T2^7 + 1994*T1^4*T2^7 + 
     3845*T1^5*T2^7 - 9564*T1^6*T2^7 + 7494*T1^7*T2^7 - 335*T1^8*T2^7 - 
     2720*T1^9*T2^7 + 1071*T1^10*T2^7 - 49*T1^11*T2^7 - 16*T1^12*T2^7 - 
     44*T1^2*T2^8 + 121*T1^3*T2^8 + 858*T1^4*T2^8 - 3546*T1^5*T2^8 + 
     4219*T1^6*T2^8 - 335*T1^7*T2^8 - 3677*T1^8*T2^8 + 3646*T1^9*T2^8 - 
     918*T1^10*T2^8 - 119*T1^11*T2^8 + 44*T1^12*T2^8 + 29*T1^3*T2^9 - 
     231*T1^4*T2^9 + 477*T1^5*T2^9 + 413*T1^6*T2^9 - 2720*T1^7*T2^9 + 
     3646*T1^8*T2^9 - 2257*T1^9*T2^9 + 147*T1^10*T2^9 + 289*T1^11*T2^9 - 
     58*T1^12*T2^9 + 63*T1^5*T2^10 - 464*T1^6*T2^10 + 1071*T1^7*T2^10 - 
     918*T1^8*T2^10 + 147*T1^9*T2^10 + 460*T1^10*T2^10 - 289*T1^11*T2^10 + 
     44*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 49*T1^7*T2^11 - 
     119*T1^8*T2^11 + 289*T1^9*T2^11 - 289*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 44*T1^8*T2^12 - 
     58*T1^9*T2^12 + 44*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 585] -> 
  {(4 - 9*T + 10*T^2 - 9*T^3 + 10*T^4 - 9*T^5 + 4*T^6)/T^3, 
   -((400 - 888*T1 + 972*T1^2 - 864*T1^3 + 972*T1^4 - 888*T1^5 + 400*T1^6 - 
      888*T2 + 1238*T1*T2 - 526*T1^2*T2 + 128*T1^3*T2 - 556*T1^4*T2 + 
      158*T1^5*T2 + 770*T1^6*T2 - 744*T1^7*T2 + 972*T2^2 - 526*T1*T2^2 - 
      677*T1^2*T2^2 + 561*T1^3*T2^2 + 243*T1^4*T2^2 + 561*T1^5*T2^2 - 
      1157*T1^6*T2^2 + 194*T1^7*T2^2 + 652*T1^8*T2^2 - 864*T2^3 + 
      128*T1*T2^3 + 561*T1^2*T2^3 + 124*T1^3*T2^3 - 687*T1^4*T2^3 - 
      345*T1^5*T2^3 + 430*T1^6*T2^3 + 471*T1^7*T2^3 - 484*T1^8*T2^3 - 
      432*T1^9*T2^3 + 972*T2^4 - 556*T1*T2^4 + 243*T1^2*T2^4 - 
      687*T1^3*T2^4 + 858*T1^4*T2^4 + 46*T1^5*T2^4 - 102*T1^6*T2^4 - 
      219*T1^7*T2^4 + 101*T1^8*T2^4 + 236*T1^9*T2^4 + 332*T1^10*T2^4 - 
      888*T2^5 + 158*T1*T2^5 + 561*T1^2*T2^5 - 345*T1^3*T2^5 + 46*T1^4*T2^5 - 
      600*T1^5*T2^5 + 480*T1^6*T2^5 + 46*T1^7*T2^5 - 435*T1^8*T2^5 + 
      291*T1^9*T2^5 - 382*T1^10*T2^5 - 168*T1^11*T2^5 + 400*T2^6 + 
      770*T1*T2^6 - 1157*T1^2*T2^6 + 430*T1^3*T2^6 - 102*T1^4*T2^6 + 
      480*T1^5*T2^6 - 600*T1^7*T2^6 + 654*T1^8*T2^6 - 146*T1^9*T2^6 - 
      T1^10*T2^6 + 338*T1^11*T2^6 + 16*T1^12*T2^6 - 744*T1*T2^7 + 
      194*T1^2*T2^7 + 471*T1^3*T2^7 - 219*T1^4*T2^7 + 46*T1^5*T2^7 - 
      600*T1^6*T2^7 + 480*T1^7*T2^7 + 46*T1^8*T2^7 - 309*T1^9*T2^7 + 
      201*T1^10*T2^7 - 346*T1^11*T2^7 - 24*T1^12*T2^7 + 652*T1^2*T2^8 - 
      484*T1^3*T2^8 + 101*T1^4*T2^8 - 435*T1^5*T2^8 + 654*T1^6*T2^8 + 
      46*T1^7*T2^8 - 306*T1^8*T2^8 + 33*T1^9*T2^8 - 41*T1^10*T2^8 + 
      308*T1^11*T2^8 + 12*T1^12*T2^8 - 432*T1^3*T2^9 + 236*T1^4*T2^9 + 
      291*T1^5*T2^9 - 146*T1^6*T2^9 - 309*T1^7*T2^9 + 33*T1^8*T2^9 + 
      160*T1^9*T2^9 + 201*T1^10*T2^9 - 376*T1^11*T2^9 + 332*T1^4*T2^10 - 
      382*T1^5*T2^10 - T1^6*T2^10 + 201*T1^7*T2^10 - 41*T1^8*T2^10 + 
      201*T1^9*T2^10 - 481*T1^10*T2^10 + 338*T1^11*T2^10 + 12*T1^12*T2^10 - 
      168*T1^5*T2^11 + 338*T1^6*T2^11 - 346*T1^7*T2^11 + 308*T1^8*T2^11 - 
      376*T1^9*T2^11 + 338*T1^10*T2^11 - 130*T1^11*T2^11 - 24*T1^12*T2^11 + 
      16*T1^6*T2^12 - 24*T1^7*T2^12 + 12*T1^8*T2^12 + 12*T1^10*T2^12 - 
      24*T1^11*T2^12 + 16*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 586] -> 
  {-((1 - 8*T + 24*T^2 - 35*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3), 
   -((-3 + 24*T1 - 72*T1^2 + 105*T1^3 - 72*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 449*T1^2*T2 - 457*T1^3*T2 + 15*T1^4*T2 + 193*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 72*T2^2 + 449*T1*T2^2 - 736*T1^2*T2^2 - 
      360*T1^3*T2^2 + 2192*T1^4*T2^2 - 1656*T1^5*T2^2 + 368*T1^6*T2^2 + 
      65*T1^7*T2^2 - 24*T1^8*T2^2 + 105*T2^3 - 457*T1*T2^3 - 360*T1^2*T2^3 + 
      4065*T1^3*T2^3 - 6376*T1^4*T2^3 + 1592*T1^5*T2^3 + 1701*T1^6*T2^3 - 
      1152*T1^7*T2^3 + 191*T1^8*T2^3 - 72*T2^4 + 15*T1*T2^4 + 
      2192*T1^2*T2^4 - 6376*T1^3*T2^4 + 3936*T1^4*T2^4 + 7486*T1^5*T2^4 - 
      8976*T1^6*T2^4 + 3144*T1^7*T2^4 + 16*T1^8*T2^4 - 193*T1^9*T2^4 + 
      24*T1^10*T2^4 + 24*T2^5 + 193*T1*T2^5 - 1656*T1^2*T2^5 + 
      1592*T1^3*T2^5 + 7486*T1^4*T2^5 - 19170*T1^5*T2^5 + 12318*T1^6*T2^5 + 
      382*T1^7*T2^5 - 3272*T1^8*T2^5 + 1152*T1^9*T2^5 - 63*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 104*T1*T2^6 + 368*T1^2*T2^6 + 1701*T1^3*T2^6 - 
      8976*T1^4*T2^6 + 12318*T1^5*T2^6 + 768*T1^6*T2^6 - 12946*T1^7*T2^6 + 
      8704*T1^8*T2^6 - 1581*T1^9*T2^6 - 384*T1^10*T2^6 + 104*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 65*T1^2*T2^7 - 1152*T1^3*T2^7 + 
      3144*T1^4*T2^7 + 382*T1^5*T2^7 - 12946*T1^6*T2^7 + 18542*T1^7*T2^7 - 
      6722*T1^8*T2^7 - 1720*T1^9*T2^7 + 1656*T1^10*T2^7 - 191*T1^11*T2^7 - 
      24*T1^12*T2^7 - 24*T1^2*T2^8 + 191*T1^3*T2^8 + 16*T1^4*T2^8 - 
      3272*T1^5*T2^8 + 8704*T1^6*T2^8 - 6722*T1^7*T2^8 - 4208*T1^8*T2^8 + 
      6248*T1^9*T2^8 - 2160*T1^10*T2^8 - 17*T1^11*T2^8 + 72*T1^12*T2^8 - 
      193*T1^4*T2^9 + 1152*T1^5*T2^9 - 1581*T1^6*T2^9 - 1720*T1^7*T2^9 + 
      6248*T1^8*T2^9 - 3945*T1^9*T2^9 + 360*T1^10*T2^9 + 455*T1^11*T2^9 - 
      105*T1^12*T2^9 + 24*T1^4*T2^10 - 63*T1^5*T2^10 - 384*T1^6*T2^10 + 
      1656*T1^7*T2^10 - 2160*T1^8*T2^10 + 360*T1^9*T2^10 + 720*T1^10*T2^10 - 
      447*T1^11*T2^10 + 72*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 
      191*T1^7*T2^11 - 17*T1^8*T2^11 + 455*T1^9*T2^11 - 447*T1^10*T2^11 + 
      176*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      72*T1^8*T2^12 - 105*T1^9*T2^12 + 72*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 587] -> 
  {-((1 - 10*T + 28*T^2 - 39*T^3 + 28*T^4 - 10*T^5 + T^6)/T^3), 
   -((-3 + 30*T1 - 84*T1^2 + 117*T1^3 - 84*T1^4 + 30*T1^5 - 3*T1^6 + 30*T2 - 
      280*T1*T2 + 641*T1^2*T2 - 611*T1^3*T2 + 59*T1^4*T2 + 261*T1^5*T2 - 
      170*T1^6*T2 + 20*T1^7*T2 - 84*T2^2 + 641*T1*T2^2 - 363*T1^2*T2^2 - 
      2116*T1^3*T2^2 + 4773*T1^4*T2^2 - 3740*T1^5*T2^2 + 1149*T1^6*T2^2 + 
      81*T1^7*T2^2 - 28*T1^8*T2^2 + 117*T2^3 - 611*T1*T2^3 - 2116*T1^2*T2^3 + 
      8515*T1^3*T2^3 - 10847*T1^4*T2^3 + 3467*T1^5*T2^3 + 2555*T1^6*T2^3 - 
      2312*T1^7*T2^3 + 279*T1^8*T2^3 - 84*T2^4 + 59*T1*T2^4 + 
      4773*T1^2*T2^4 - 10847*T1^3*T2^4 + 5750*T1^4*T2^4 + 10062*T1^5*T2^4 - 
      13846*T1^6*T2^4 + 5845*T1^7*T2^4 + 109*T1^8*T2^4 - 281*T1^9*T2^4 + 
      28*T1^10*T2^4 + 30*T2^5 + 261*T1*T2^5 - 3740*T1^2*T2^5 + 
      3467*T1^3*T2^5 + 10062*T1^4*T2^5 - 24924*T1^5*T2^5 + 16870*T1^6*T2^5 + 
      766*T1^7*T2^5 - 6091*T1^8*T2^5 + 2168*T1^9*T2^5 - 79*T1^10*T2^5 - 
      20*T1^11*T2^5 - 3*T2^6 - 170*T1*T2^6 + 1149*T1^2*T2^6 + 
      2555*T1^3*T2^6 - 13846*T1^4*T2^6 + 16870*T1^5*T2^6 + 1140*T1^6*T2^6 - 
      17862*T1^7*T2^6 + 13058*T1^8*T2^6 - 2159*T1^9*T2^6 - 1115*T1^10*T2^6 + 
      170*T1^11*T2^6 + 3*T1^12*T2^6 + 20*T1*T2^7 + 81*T1^2*T2^7 - 
      2312*T1^3*T2^7 + 5845*T1^4*T2^7 + 766*T1^5*T2^7 - 17862*T1^6*T2^7 + 
      23932*T1^7*T2^7 - 8530*T1^8*T2^7 - 3713*T1^9*T2^7 + 3596*T1^10*T2^7 - 
      259*T1^11*T2^7 - 30*T1^12*T2^7 - 28*T1^2*T2^8 + 279*T1^3*T2^8 + 
      109*T1^4*T2^8 - 6091*T1^5*T2^8 + 13058*T1^6*T2^8 - 8530*T1^7*T2^8 - 
      6538*T1^8*T2^8 + 10601*T1^9*T2^8 - 4555*T1^10*T2^8 - 61*T1^11*T2^8 + 
      84*T1^12*T2^8 - 281*T1^4*T2^9 + 2168*T1^5*T2^9 - 2159*T1^6*T2^9 - 
      3713*T1^7*T2^9 + 10601*T1^8*T2^9 - 8119*T1^9*T2^9 + 1972*T1^10*T2^9 + 
      609*T1^11*T2^9 - 117*T1^12*T2^9 + 28*T1^4*T2^10 - 79*T1^5*T2^10 - 
      1115*T1^6*T2^10 + 3596*T1^7*T2^10 - 4555*T1^8*T2^10 + 1972*T1^9*T2^10 + 
      397*T1^10*T2^10 - 639*T1^11*T2^10 + 84*T1^12*T2^10 - 20*T1^5*T2^11 + 
      170*T1^6*T2^11 - 259*T1^7*T2^11 - 61*T1^8*T2^11 + 609*T1^9*T2^11 - 
      639*T1^10*T2^11 + 280*T1^11*T2^11 - 30*T1^12*T2^11 + 3*T1^6*T2^12 - 
      30*T1^7*T2^12 + 84*T1^8*T2^12 - 117*T1^9*T2^12 + 84*T1^10*T2^12 - 
      30*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 588] -> 
  {-((2 - 9*T + 19*T^2 - 25*T^3 + 19*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-25 + 111*T1 - 232*T1^2 + 305*T1^3 - 232*T1^4 + 111*T1^5 - 25*T1^6 + 
      111*T2 - 422*T1*T2 + 708*T1^2*T2 - 668*T1^3*T2 + 124*T1^4*T2 + 
      204*T1^5*T2 - 224*T1^6*T2 + 75*T1^7*T2 - 232*T2^2 + 708*T1*T2^2 - 
      754*T1^2*T2^2 + 31*T1^3*T2^2 + 1248*T1^4*T2^2 - 1185*T1^5*T2^2 + 
      538*T1^6*T2^2 + 24*T1^7*T2^2 - 80*T1^8*T2^2 + 305*T2^3 - 668*T1*T2^3 + 
      31*T1^2*T2^3 + 1357*T1^3*T2^3 - 2472*T1^4*T2^3 + 852*T1^5*T2^3 + 
      619*T1^6*T2^3 - 938*T1^7*T2^3 + 340*T1^8*T2^3 + 5*T1^9*T2^3 - 
      232*T2^4 + 124*T1*T2^4 + 1248*T1^2*T2^4 - 2472*T1^3*T2^4 + 
      1997*T1^4*T2^4 + 1401*T1^5*T2^4 - 2619*T1^6*T2^4 + 1378*T1^7*T2^4 + 
      86*T1^8*T2^4 - 344*T1^9*T2^4 + 72*T1^10*T2^4 + 111*T2^5 + 204*T1*T2^5 - 
      1185*T1^2*T2^5 + 852*T1^3*T2^5 + 1401*T1^4*T2^5 - 4334*T1^5*T2^5 + 
      3192*T1^6*T2^5 + 242*T1^7*T2^5 - 1420*T1^8*T2^5 + 772*T1^9*T2^5 - 
      12*T1^10*T2^5 - 69*T1^11*T2^5 - 25*T2^6 - 224*T1*T2^6 + 538*T1^2*T2^6 + 
      619*T1^3*T2^6 - 2619*T1^4*T2^6 + 3192*T1^5*T2^6 - 348*T1^6*T2^6 - 
      3068*T1^7*T2^6 + 2011*T1^8*T2^6 - 323*T1^9*T2^6 - 478*T1^10*T2^6 + 
      208*T1^11*T2^6 + 23*T1^12*T2^6 + 75*T1*T2^7 + 24*T1^2*T2^7 - 
      938*T1^3*T2^7 + 1378*T1^4*T2^7 + 242*T1^5*T2^7 - 3068*T1^6*T2^7 + 
      4458*T1^7*T2^7 - 917*T1^8*T2^7 - 894*T1^9*T2^7 + 1019*T1^10*T2^7 - 
      192*T1^11*T2^7 - 105*T1^12*T2^7 - 80*T1^2*T2^8 + 340*T1^3*T2^8 + 
      86*T1^4*T2^8 - 1420*T1^5*T2^8 + 2011*T1^6*T2^8 - 917*T1^7*T2^8 - 
      2605*T1^8*T2^8 + 2430*T1^9*T2^8 - 1076*T1^10*T2^8 - 128*T1^11*T2^8 + 
      224*T1^12*T2^8 + 5*T1^3*T2^9 - 344*T1^4*T2^9 + 772*T1^5*T2^9 - 
      323*T1^6*T2^9 - 894*T1^7*T2^9 + 2430*T1^8*T2^9 - 1061*T1^9*T2^9 - 
      197*T1^10*T2^9 + 664*T1^11*T2^9 - 295*T1^12*T2^9 + 72*T1^4*T2^10 - 
      12*T1^5*T2^10 - 478*T1^6*T2^10 + 1019*T1^7*T2^10 - 1076*T1^8*T2^10 - 
      197*T1^9*T2^10 + 814*T1^10*T2^10 - 696*T1^11*T2^10 + 224*T1^12*T2^10 - 
      69*T1^5*T2^11 + 208*T1^6*T2^11 - 192*T1^7*T2^11 - 128*T1^8*T2^11 + 
      664*T1^9*T2^11 - 696*T1^10*T2^11 + 406*T1^11*T2^11 - 105*T1^12*T2^11 + 
      23*T1^6*T2^12 - 105*T1^7*T2^12 + 224*T1^8*T2^12 - 295*T1^9*T2^12 + 
      224*T1^10*T2^12 - 105*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 589] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-41 + 244*T1 - 524*T1^2 + 663*T1^3 - 524*T1^4 + 244*T1^5 - 41*T1^6 + 
      244*T2 - 1264*T1*T2 + 1962*T1^2*T2 - 1456*T1^3*T2 - 40*T1^4*T2 + 
      1050*T1^5*T2 - 928*T1^6*T2 + 196*T1^7*T2 - 524*T2^2 + 1962*T1*T2^2 + 
      6*T1^2*T2^2 - 4741*T1^3*T2^2 + 8416*T1^4*T2^2 - 6925*T1^5*T2^2 + 
      2502*T1^6*T2^2 + 714*T1^7*T2^2 - 316*T1^8*T2^2 + 663*T2^3 - 
      1456*T1*T2^3 - 4741*T1^2*T2^3 + 10704*T1^3*T2^3 - 9893*T1^4*T2^3 + 
      991*T1^5*T2^3 + 5778*T1^6*T2^3 - 5521*T1^7*T2^3 + 296*T1^8*T2^3 + 
      267*T1^9*T2^3 - 524*T2^4 - 40*T1*T2^4 + 8416*T1^2*T2^4 - 
      9893*T1^3*T2^4 + 2187*T1^4*T2^4 + 8959*T1^5*T2^4 - 9453*T1^6*T2^4 + 
      2251*T1^7*T2^4 + 4320*T1^8*T2^4 - 952*T1^9*T2^4 - 108*T1^10*T2^4 + 
      244*T2^5 + 1050*T1*T2^5 - 6925*T1^2*T2^5 + 991*T1^3*T2^5 + 
      8959*T1^4*T2^5 - 13150*T1^5*T2^5 + 3584*T1^6*T2^5 + 5995*T1^7*T2^5 - 
      7373*T1^8*T2^5 - 529*T1^9*T2^5 + 618*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 928*T1*T2^6 + 2502*T1^2*T2^6 + 5778*T1^3*T2^6 - 
      9453*T1^4*T2^6 + 3584*T1^5*T2^6 + 8688*T1^6*T2^6 - 11272*T1^7*T2^6 + 
      4611*T1^8*T2^6 + 3738*T1^9*T2^6 - 1082*T1^10*T2^6 - 64*T1^11*T2^6 + 
      7*T1^12*T2^6 + 196*T1*T2^7 + 714*T1^2*T2^7 - 5521*T1^3*T2^7 + 
      2251*T1^4*T2^7 + 5995*T1^5*T2^7 - 11272*T1^6*T2^7 + 5462*T1^7*T2^7 + 
      3031*T1^8*T2^7 - 6113*T1^9*T2^7 + 875*T1^10*T2^7 + 282*T1^11*T2^7 - 
      44*T1^12*T2^7 - 316*T1^2*T2^8 + 296*T1^3*T2^8 + 4320*T1^4*T2^8 - 
      7373*T1^5*T2^8 + 4611*T1^6*T2^8 + 3031*T1^7*T2^8 - 7029*T1^8*T2^8 + 
      4771*T1^9*T2^8 + 224*T1^10*T2^8 - 616*T1^11*T2^8 + 100*T1^12*T2^8 + 
      267*T1^3*T2^9 - 952*T1^4*T2^9 - 529*T1^5*T2^9 + 3738*T1^6*T2^9 - 
      6113*T1^7*T2^9 + 4771*T1^8*T2^9 - 1188*T1^9*T2^9 - 1309*T1^10*T2^9 + 
      800*T1^11*T2^9 - 129*T1^12*T2^9 - 108*T1^4*T2^10 + 618*T1^5*T2^10 - 
      1082*T1^6*T2^10 + 875*T1^7*T2^10 + 224*T1^8*T2^10 - 1309*T1^9*T2^10 + 
      1414*T1^10*T2^10 - 630*T1^11*T2^10 + 100*T1^12*T2^10 + 4*T1^5*T2^11 - 
      64*T1^6*T2^11 + 282*T1^7*T2^11 - 616*T1^8*T2^11 + 800*T1^9*T2^11 - 
      630*T1^10*T2^11 + 272*T1^11*T2^11 - 44*T1^12*T2^11 + 7*T1^6*T2^12 - 
      44*T1^7*T2^12 + 100*T1^8*T2^12 - 129*T1^9*T2^12 + 100*T1^10*T2^12 - 
      44*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 590] -> 
  {-((1 - 4*T + 4*T^2 - 2*T^3 + T^4 - 2*T^5 + 4*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 28*T1^2 + 14*T1^3 - 7*T1^4 + 14*T1^5 - 28*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 + 16*T1^2*T2 + 40*T1^3*T2 - 20*T1^4*T2 - 
      32*T1^5*T2 + 64*T1^6*T2 - 16*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      28*T2^2 + 16*T1*T2^2 + 248*T1^2*T2^2 - 242*T1^3*T2^2 + 79*T1^4*T2^2 + 
      4*T1^5*T2^2 + 55*T1^6*T2^2 - 226*T1^7*T2^2 + 272*T1^8*T2^2 - 
      16*T1^9*T2^2 - 20*T1^10*T2^2 + 14*T2^3 + 40*T1*T2^3 - 242*T1^2*T2^3 + 
      40*T1^3*T2^3 + 113*T1^4*T2^3 - 61*T1^5*T2^3 - 73*T1^6*T2^3 + 
      179*T1^7*T2^3 - 70*T1^8*T2^3 - 186*T1^9*T2^3 + 48*T1^10*T2^3 + 
      8*T1^11*T2^3 - 7*T2^4 - 20*T1*T2^4 + 79*T1^2*T2^4 + 113*T1^3*T2^4 - 
      121*T1^4*T2^4 + 23*T1^5*T2^4 + 31*T1^6*T2^4 - 17*T1^7*T2^4 - 
      89*T1^8*T2^4 + 153*T1^9*T2^4 + 31*T1^10*T2^4 - 20*T1^11*T2^4 - 
      3*T1^12*T2^4 + 14*T2^5 - 32*T1*T2^5 + 4*T1^2*T2^5 - 61*T1^3*T2^5 + 
      23*T1^4*T2^5 + 2*T1^5*T2^5 + 13*T1^6*T2^5 - 19*T1^7*T2^5 + 
      20*T1^8*T2^5 - 15*T1^9*T2^5 - 49*T1^10*T2^5 + 4*T1^11*T2^5 - 
      4*T1^12*T2^5 + 4*T1^13*T2^5 - 28*T2^6 + 64*T1*T2^6 + 55*T1^2*T2^6 - 
      73*T1^3*T2^6 + 31*T1^4*T2^6 + 13*T1^5*T2^6 - 31*T1^6*T2^6 - 
      31*T1^7*T2^6 + 81*T1^8*T2^6 - 19*T1^9*T2^6 + 15*T1^10*T2^6 - 
      25*T1^11*T2^6 + 31*T1^12*T2^6 - 4*T1^14*T2^6 + 28*T2^7 - 16*T1*T2^7 - 
      226*T1^2*T2^7 + 179*T1^3*T2^7 - 17*T1^4*T2^7 - 19*T1^5*T2^7 - 
      31*T1^6*T2^7 + 184*T1^7*T2^7 - 178*T1^8*T2^7 - 11*T1^9*T2^7 + 
      13*T1^10*T2^7 + 29*T1^11*T2^7 + 9*T1^12*T2^7 - 42*T1^13*T2^7 + 
      16*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 272*T1^2*T2^8 - 70*T1^3*T2^8 - 
      89*T1^4*T2^8 + 20*T1^5*T2^8 + 81*T1^6*T2^8 - 178*T1^7*T2^8 + 
      182*T1^9*T2^8 - 63*T1^10*T2^8 - 4*T1^11*T2^8 - 49*T1^12*T2^8 + 
      50*T1^13*T2^8 - 16*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 
      24*T1*T2^9 - 16*T1^2*T2^9 - 186*T1^3*T2^9 + 153*T1^4*T2^9 - 
      15*T1^5*T2^9 - 19*T1^6*T2^9 - 11*T1^7*T2^9 + 182*T1^8*T2^9 - 
      180*T1^9*T2^9 + 9*T1^10*T2^9 + 13*T1^11*T2^9 + 31*T1^12*T2^9 - 
      17*T1^13*T2^9 - 2*T1^14*T2^9 + 16*T1^15*T2^9 - 4*T1^16*T2^9 - 
      20*T1^2*T2^10 + 48*T1^3*T2^10 + 31*T1^4*T2^10 - 49*T1^5*T2^10 + 
      15*T1^6*T2^10 + 13*T1^7*T2^10 - 63*T1^8*T2^10 + 9*T1^9*T2^10 + 
      49*T1^10*T2^10 - 19*T1^11*T2^10 - T1^12*T2^10 - T1^13*T2^10 + 
      7*T1^14*T2^10 - 16*T1^15*T2^10 + 4*T1^16*T2^10 + 8*T1^3*T2^11 - 
      20*T1^4*T2^11 + 4*T1^5*T2^11 - 25*T1^6*T2^11 + 29*T1^7*T2^11 - 
      4*T1^8*T2^11 + 13*T1^9*T2^11 - 19*T1^10*T2^11 + 14*T1^11*T2^11 - 
      9*T1^12*T2^11 - 13*T1^13*T2^11 + 4*T1^14*T2^11 + 8*T1^15*T2^11 - 
      2*T1^16*T2^11 - 3*T1^4*T2^12 - 4*T1^5*T2^12 + 31*T1^6*T2^12 + 
      9*T1^7*T2^12 - 49*T1^8*T2^12 + 31*T1^9*T2^12 - T1^10*T2^12 - 
      9*T1^11*T2^12 - 17*T1^12*T2^12 + 49*T1^13*T2^12 - 17*T1^14*T2^12 - 
      4*T1^15*T2^12 + T1^16*T2^12 + 4*T1^5*T2^13 - 42*T1^7*T2^13 + 
      50*T1^8*T2^13 - 17*T1^9*T2^13 - T1^10*T2^13 - 13*T1^11*T2^13 + 
      49*T1^12*T2^13 - 60*T1^13*T2^13 + 14*T1^14*T2^13 + 8*T1^15*T2^13 - 
      2*T1^16*T2^13 - 4*T1^6*T2^14 + 16*T1^7*T2^14 - 16*T1^8*T2^14 - 
      2*T1^9*T2^14 + 7*T1^10*T2^14 + 4*T1^11*T2^14 - 17*T1^12*T2^14 + 
      14*T1^13*T2^14 + 8*T1^14*T2^14 - 16*T1^15*T2^14 + 4*T1^16*T2^14 - 
      4*T1^8*T2^15 + 16*T1^9*T2^15 - 16*T1^10*T2^15 + 8*T1^11*T2^15 - 
      4*T1^12*T2^15 + 8*T1^13*T2^15 - 16*T1^14*T2^15 + 16*T1^15*T2^15 - 
      4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^10*T2^16 - 
      2*T1^11*T2^16 + T1^12*T2^16 - 2*T1^13*T2^16 + 4*T1^14*T2^16 - 
      4*T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 591] -> 
  {(1 - 2*T^2 + 2*T^3 - T^4 + 2*T^5 - 2*T^6 + T^8)/T^4, 
   (-8 + 16*T1^2 - 16*T1^3 + 8*T1^4 - 16*T1^5 + 16*T1^6 - 8*T1^8 + T1^2*T2 - 
     2*T1^3*T2 + T1^4*T2 + T1^5*T2 - 2*T1^6*T2 + T1^7*T2 + 16*T2^2 + 
     T1*T2^2 - 22*T1^2*T2^2 + 31*T1^3*T2^2 - 35*T1^4*T2^2 + 50*T1^5*T2^2 - 
     39*T1^6*T2^2 + 23*T1^7*T2^2 - 10*T1^8*T2^2 + T1^9*T2^2 + 12*T1^10*T2^2 - 
     16*T2^3 - 2*T1*T2^3 + 31*T1^2*T2^3 - 34*T1^3*T2^3 + 11*T1^4*T2^3 - 
     12*T1^5*T2^3 + 12*T1^6*T2^3 + 5*T1^7*T2^3 - 28*T1^8*T2^3 + 
     19*T1^9*T2^3 - 2*T1^10*T2^3 - 10*T1^11*T2^3 + 8*T2^4 + T1*T2^4 - 
     35*T1^2*T2^4 + 11*T1^3*T2^4 + 38*T1^4*T2^4 - 26*T1^5*T2^4 - 
     34*T1^7*T2^4 + 46*T1^8*T2^4 + 3*T1^9*T2^4 - 27*T1^10*T2^4 + T1^11*T2^4 + 
     4*T1^12*T2^4 - 16*T2^5 + T1*T2^5 + 50*T1^2*T2^5 - 12*T1^3*T2^5 - 
     26*T1^4*T2^5 - 18*T1^5*T2^5 + 36*T1^6*T2^5 + 28*T1^7*T2^5 - 
     24*T1^8*T2^5 - 28*T1^9*T2^5 + 12*T1^10*T2^5 + 26*T1^11*T2^5 + 
     T1^12*T2^5 - 6*T1^13*T2^5 + 16*T2^6 - 2*T1*T2^6 - 39*T1^2*T2^6 + 
     12*T1^3*T2^6 + 36*T1^5*T2^6 - 41*T1^6*T2^6 - 5*T1^7*T2^6 - T1^8*T2^6 + 
     20*T1^9*T2^6 - 12*T1^11*T2^6 - 11*T1^12*T2^6 - 2*T1^13*T2^6 + 
     4*T1^14*T2^6 + T1*T2^7 + 23*T1^2*T2^7 + 5*T1^3*T2^7 - 34*T1^4*T2^7 + 
     28*T1^5*T2^7 - 5*T1^6*T2^7 + 22*T1^7*T2^7 - 20*T1^8*T2^7 - T1^9*T2^7 + 
     20*T1^10*T2^7 - 8*T1^11*T2^7 + 3*T1^12*T2^7 + 11*T1^13*T2^7 + 
     T1^14*T2^7 - 8*T2^8 - 10*T1^2*T2^8 - 28*T1^3*T2^8 + 46*T1^4*T2^8 - 
     24*T1^5*T2^8 - T1^6*T2^8 - 20*T1^7*T2^8 + 12*T1^8*T2^8 + 20*T1^9*T2^8 - 
     33*T1^10*T2^8 + 6*T1^12*T2^8 - 4*T1^13*T2^8 - 10*T1^14*T2^8 + 
     T1^2*T2^9 + 19*T1^3*T2^9 + 3*T1^4*T2^9 - 28*T1^5*T2^9 + 20*T1^6*T2^9 - 
     T1^7*T2^9 + 20*T1^8*T2^9 - 22*T1^9*T2^9 + 3*T1^10*T2^9 + 12*T1^11*T2^9 - 
     2*T1^12*T2^9 + T1^13*T2^9 + 7*T1^14*T2^9 + T1^15*T2^9 + 12*T1^2*T2^10 - 
     2*T1^3*T2^10 - 27*T1^4*T2^10 + 12*T1^5*T2^10 + 20*T1^7*T2^10 - 
     33*T1^8*T2^10 + 3*T1^9*T2^10 + 7*T1^10*T2^10 + 4*T1^11*T2^10 - 
     12*T1^13*T2^10 + T1^14*T2^10 - 2*T1^15*T2^10 - 10*T1^3*T2^11 + 
     T1^4*T2^11 + 26*T1^5*T2^11 - 12*T1^6*T2^11 - 8*T1^7*T2^11 + 
     12*T1^9*T2^11 + 4*T1^10*T2^11 - 6*T1^11*T2^11 - 10*T1^12*T2^11 + 
     12*T1^13*T2^11 + 2*T1^14*T2^11 + T1^15*T2^11 + 4*T1^4*T2^12 + 
     T1^5*T2^12 - 11*T1^6*T2^12 + 3*T1^7*T2^12 + 6*T1^8*T2^12 - 
     2*T1^9*T2^12 - 10*T1^11*T2^12 + 14*T1^12*T2^12 - 5*T1^13*T2^12 - 
     3*T1^14*T2^12 + T1^15*T2^12 - 6*T1^5*T2^13 - 2*T1^6*T2^13 + 
     11*T1^7*T2^13 - 4*T1^8*T2^13 + T1^9*T2^13 - 12*T1^10*T2^13 + 
     12*T1^11*T2^13 - 5*T1^12*T2^13 + 2*T1^13*T2^13 - T1^14*T2^13 - 
     2*T1^15*T2^13 + 4*T1^6*T2^14 + T1^7*T2^14 - 10*T1^8*T2^14 + 
     7*T1^9*T2^14 + T1^10*T2^14 + 2*T1^11*T2^14 - 3*T1^12*T2^14 - 
     T1^13*T2^14 + 2*T1^14*T2^14 + T1^15*T2^14 + T1^9*T2^15 - 2*T1^10*T2^15 + 
     T1^11*T2^15 + T1^12*T2^15 - 2*T1^13*T2^15 + T1^14*T2^15)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 592] -> 
  {(1 - 4*T + 8*T^2 - 8*T^3 + 7*T^4 - 8*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 16*T1^2 + 16*T1^3 - 14*T1^4 + 16*T1^5 - 16*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 48*T1^2*T2 - 32*T1^3*T2 + 24*T1^4*T2 - 
     36*T1^5*T2 + 32*T1^6*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 16*T2^2 + 48*T1*T2^2 - 
     64*T1^2*T2^2 + 3*T1^3*T2^2 + 9*T1^4*T2^2 + 24*T1^5*T2^2 - 7*T1^6*T2^2 - 
     61*T1^7*T2^2 + 48*T1^8*T2^2 - 16*T1^9*T2^2 + 16*T2^3 - 32*T1*T2^3 + 
     3*T1^2*T2^3 + 110*T1^3*T2^3 - 97*T1^4*T2^3 + 27*T1^5*T2^3 - 
     69*T1^6*T2^3 + 151*T1^7*T2^3 - 58*T1^8*T2^3 - 29*T1^9*T2^3 + 
     32*T1^10*T2^3 - 8*T1^11*T2^3 - 14*T2^4 + 24*T1*T2^4 + 9*T1^2*T2^4 - 
     97*T1^3*T2^4 + 17*T1^4*T2^4 + 98*T1^5*T2^4 - 15*T1^6*T2^4 - 
     78*T1^7*T2^4 - 71*T1^8*T2^4 + 127*T1^9*T2^4 - 23*T1^10*T2^4 - 
     24*T1^11*T2^4 + 14*T1^12*T2^4 + 16*T2^5 - 36*T1*T2^5 + 24*T1^2*T2^5 + 
     27*T1^3*T2^5 + 98*T1^4*T2^5 - 228*T1^5*T2^5 + 83*T1^6*T2^5 - 
     13*T1^7*T2^5 + 232*T1^8*T2^5 - 194*T1^9*T2^5 - 5*T1^10*T2^5 - 
     24*T1^11*T2^5 + 40*T1^12*T2^5 - 24*T1^13*T2^5 - 16*T2^6 + 32*T1*T2^6 - 
     7*T1^2*T2^6 - 69*T1^3*T2^6 - 15*T1^4*T2^6 + 83*T1^5*T2^6 + 
     90*T1^6*T2^6 - 44*T1^7*T2^6 - 198*T1^8*T2^6 + 19*T1^9*T2^6 + 
     81*T1^10*T2^6 + 123*T1^11*T2^6 - 23*T1^12*T2^6 - 32*T1^13*T2^6 + 
     32*T1^14*T2^6 + 8*T2^7 - 61*T1^2*T2^7 + 151*T1^3*T2^7 - 78*T1^4*T2^7 - 
     13*T1^5*T2^7 - 44*T1^6*T2^7 - 162*T1^7*T2^7 + 290*T1^8*T2^7 - 
     44*T1^9*T2^7 + 147*T1^10*T2^7 - 250*T1^11*T2^7 - 193*T1^12*T2^7 + 
     163*T1^13*T2^7 - 48*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 
     48*T1^2*T2^8 - 58*T1^3*T2^8 - 71*T1^4*T2^8 + 232*T1^5*T2^8 - 
     198*T1^6*T2^8 + 290*T1^7*T2^8 - 60*T1^8*T2^8 - 222*T1^9*T2^8 + 
     122*T1^10*T2^8 - 312*T1^11*T2^8 + 753*T1^12*T2^8 - 250*T1^13*T2^8 - 
     16*T1^14*T2^8 + 56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 
     16*T1^2*T2^9 - 29*T1^3*T2^9 + 127*T1^4*T2^9 - 194*T1^5*T2^9 + 
     19*T1^6*T2^9 - 44*T1^7*T2^9 - 222*T1^8*T2^9 + 230*T1^9*T2^9 - 
     44*T1^10*T2^9 + 179*T1^11*T2^9 - 366*T1^12*T2^9 - 217*T1^13*T2^9 + 
     195*T1^14*T2^9 - 64*T1^15*T2^9 - 24*T1^16*T2^9 + 32*T1^3*T2^10 - 
     23*T1^4*T2^10 - 5*T1^5*T2^10 + 81*T1^6*T2^10 + 147*T1^7*T2^10 + 
     122*T1^8*T2^10 - 44*T1^9*T2^10 - 166*T1^10*T2^10 + 83*T1^11*T2^10 + 
     177*T1^12*T2^10 + 187*T1^13*T2^10 - 39*T1^14*T2^10 - 32*T1^15*T2^10 + 
     48*T1^16*T2^10 - 8*T1^3*T2^11 - 24*T1^4*T2^11 - 24*T1^5*T2^11 + 
     123*T1^6*T2^11 - 250*T1^7*T2^11 - 312*T1^8*T2^11 + 179*T1^9*T2^11 + 
     83*T1^10*T2^11 + 148*T1^11*T2^11 - 542*T1^12*T2^11 + 91*T1^13*T2^11 - 
     72*T1^14*T2^11 + 52*T1^15*T2^11 - 48*T1^16*T2^11 + 14*T1^4*T2^12 + 
     40*T1^5*T2^12 - 23*T1^6*T2^12 - 193*T1^7*T2^12 + 753*T1^8*T2^12 - 
     366*T1^9*T2^12 + 177*T1^10*T2^12 - 542*T1^11*T2^12 + 665*T1^12*T2^12 + 
     31*T1^13*T2^12 - 55*T1^14*T2^12 - 8*T1^15*T2^12 + 42*T1^16*T2^12 - 
     24*T1^5*T2^13 - 32*T1^6*T2^13 + 163*T1^7*T2^13 - 250*T1^8*T2^13 - 
     217*T1^9*T2^13 + 187*T1^10*T2^13 + 91*T1^11*T2^13 + 31*T1^12*T2^13 - 
     418*T1^13*T2^13 + 131*T1^14*T2^13 + 32*T1^15*T2^13 - 48*T1^16*T2^13 + 
     32*T1^6*T2^14 - 48*T1^7*T2^14 - 16*T1^8*T2^14 + 195*T1^9*T2^14 - 
     39*T1^10*T2^14 - 72*T1^11*T2^14 - 55*T1^12*T2^14 + 131*T1^13*T2^14 + 
     96*T1^14*T2^14 - 112*T1^15*T2^14 + 48*T1^16*T2^14 - 20*T1^7*T2^15 + 
     56*T1^8*T2^15 - 64*T1^9*T2^15 - 32*T1^10*T2^15 + 52*T1^11*T2^15 - 
     8*T1^12*T2^15 + 32*T1^13*T2^15 - 112*T1^14*T2^15 + 76*T1^15*T2^15 - 
     24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 48*T1^10*T2^16 - 
     48*T1^11*T2^16 + 42*T1^12*T2^16 - 48*T1^13*T2^16 + 48*T1^14*T2^16 - 
     24*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 593] -> 
  {-((2 - 9*T + 13*T^2 - 13*T^3 + 13*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 264*T1^2 + 263*T1^3 - 264*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 522*T1^2*T2 - 230*T1^3*T2 + 238*T1^4*T2 + 
      126*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 264*T2^2 + 522*T1*T2^2 + 
      1086*T1^2*T2^2 - 1812*T1^3*T2^2 + 1482*T1^4*T2^2 - 2020*T1^5*T2^2 + 
      1658*T1^6*T2^2 + 54*T1^7*T2^2 - 160*T1^8*T2^2 + 263*T2^3 - 
      230*T1*T2^3 - 1812*T1^2*T2^3 + 1367*T1^3*T2^3 - 329*T1^4*T2^3 + 
      997*T1^5*T2^3 - 37*T1^6*T2^3 - 1539*T1^7*T2^3 + 238*T1^8*T2^3 + 
      107*T1^9*T2^3 - 264*T2^4 + 238*T1*T2^4 + 1482*T1^2*T2^4 - 
      329*T1^3*T2^4 - 538*T1^4*T2^4 - 396*T1^5*T2^4 - 330*T1^6*T2^4 + 
      893*T1^7*T2^4 + 728*T1^8*T2^4 - 230*T1^9*T2^4 - 56*T1^10*T2^4 + 
      184*T2^5 + 126*T1*T2^5 - 2020*T1^2*T2^5 + 997*T1^3*T2^5 - 
      396*T1^4*T2^5 + 1496*T1^5*T2^5 - 842*T1^6*T2^5 - 19*T1^7*T2^5 - 
      537*T1^8*T2^5 - 369*T1^9*T2^5 + 234*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 1658*T1^2*T2^6 - 37*T1^3*T2^6 - 330*T1^4*T2^6 - 
      842*T1^5*T2^6 - 216*T1^6*T2^6 + 1154*T1^7*T2^6 - 512*T1^8*T2^6 + 
      821*T1^9*T2^6 - 270*T1^10*T2^6 - 48*T1^11*T2^6 + 7*T1^12*T2^6 + 
      148*T1*T2^7 + 54*T1^2*T2^7 - 1539*T1^3*T2^7 + 893*T1^4*T2^7 - 
      19*T1^5*T2^7 + 1154*T1^6*T2^7 - 1184*T1^7*T2^7 + 358*T1^8*T2^7 - 
      641*T1^9*T2^7 + 112*T1^10*T2^7 + 162*T1^11*T2^7 - 32*T1^12*T2^7 - 
      160*T1^2*T2^8 + 238*T1^3*T2^8 + 728*T1^4*T2^8 - 537*T1^5*T2^8 - 
      512*T1^6*T2^8 + 358*T1^7*T2^8 - 304*T1^8*T2^8 + 685*T1^9*T2^8 - 
      26*T1^10*T2^8 - 230*T1^11*T2^8 + 48*T1^12*T2^8 + 107*T1^3*T2^9 - 
      230*T1^4*T2^9 - 369*T1^5*T2^9 + 821*T1^6*T2^9 - 641*T1^7*T2^9 + 
      685*T1^8*T2^9 - 583*T1^9*T2^9 - 96*T1^10*T2^9 + 238*T1^11*T2^9 - 
      49*T1^12*T2^9 - 56*T1^4*T2^10 + 234*T1^5*T2^10 - 270*T1^6*T2^10 + 
      112*T1^7*T2^10 - 26*T1^8*T2^10 - 96*T1^9*T2^10 + 302*T1^10*T2^10 - 
      234*T1^11*T2^10 + 48*T1^12*T2^10 + 4*T1^5*T2^11 - 48*T1^6*T2^11 + 
      162*T1^7*T2^11 - 230*T1^8*T2^11 + 238*T1^9*T2^11 - 234*T1^10*T2^11 + 
      150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 32*T1^7*T2^12 + 
      48*T1^8*T2^12 - 49*T1^9*T2^12 + 48*T1^10*T2^12 - 32*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 594] -> 
  {(2 - T - 5*T^2 + 9*T^3 - 5*T^4 - T^5 + 2*T^6)/T^3, 
   -((49 - 24*T1 - 122*T1^2 + 219*T1^3 - 122*T1^4 - 24*T1^5 + 49*T1^6 - 
      24*T2 - 8*T1*T2 + 66*T1^2*T2 - 54*T1^3*T2 - 26*T1^4*T2 + 58*T1^5*T2 - 
      14*T1^6*T2 - 20*T1^7*T2 - 122*T2^2 + 66*T1*T2^2 + 225*T1^2*T2^2 - 
      499*T1^3*T2^2 + 483*T1^4*T2^2 - 299*T1^5*T2^2 + 85*T1^6*T2^2 + 
      46*T1^7*T2^2 - 82*T1^8*T2^2 + 219*T2^3 - 54*T1*T2^3 - 499*T1^2*T2^3 + 
      801*T1^3*T2^3 - 373*T1^4*T2^3 - 227*T1^5*T2^3 + 443*T1^6*T2^3 - 
      214*T1^7*T2^3 - 10*T1^8*T2^3 + 111*T1^9*T2^3 - 122*T2^4 - 26*T1*T2^4 + 
      483*T1^2*T2^4 - 373*T1^3*T2^4 - 472*T1^4*T2^4 + 1002*T1^5*T2^4 - 
      572*T1^6*T2^4 - 139*T1^7*T2^4 + 265*T1^8*T2^4 - 30*T1^9*T2^4 - 
      42*T1^10*T2^4 - 24*T2^5 + 58*T1*T2^5 - 299*T1^2*T2^5 - 227*T1^3*T2^5 + 
      1002*T1^4*T2^5 - 862*T1^5*T2^5 - 202*T1^6*T2^5 + 667*T1^7*T2^5 - 
      197*T1^8*T2^5 - 244*T1^9*T2^5 + 18*T1^10*T2^5 - 4*T1^11*T2^5 + 
      49*T2^6 - 14*T1*T2^6 + 85*T1^2*T2^6 + 443*T1^3*T2^6 - 572*T1^4*T2^6 - 
      202*T1^5*T2^6 + 1020*T1^6*T2^6 - 650*T1^7*T2^6 - 138*T1^8*T2^6 + 
      297*T1^9*T2^6 + 109*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 
      20*T1*T2^7 + 46*T1^2*T2^7 - 214*T1^3*T2^7 - 139*T1^4*T2^7 + 
      667*T1^5*T2^7 - 650*T1^6*T2^7 + 10*T1^7*T2^7 + 332*T1^8*T2^7 - 
      109*T1^9*T2^7 - 159*T1^10*T2^7 + 6*T1^11*T2^7 - 82*T1^2*T2^8 - 
      10*T1^3*T2^8 + 265*T1^4*T2^8 - 197*T1^5*T2^8 - 138*T1^6*T2^8 + 
      332*T1^7*T2^8 - 238*T1^8*T2^8 + 37*T1^9*T2^8 + 47*T1^10*T2^8 - 
      14*T1^11*T2^8 - 2*T1^12*T2^8 + 111*T1^3*T2^9 - 30*T1^4*T2^9 - 
      244*T1^5*T2^9 + 297*T1^6*T2^9 - 109*T1^7*T2^9 + 37*T1^8*T2^9 - 
      61*T1^9*T2^9 + 41*T1^10*T2^9 + 14*T1^11*T2^9 + 3*T1^12*T2^9 - 
      42*T1^4*T2^10 + 18*T1^5*T2^10 + 109*T1^6*T2^10 - 159*T1^7*T2^10 + 
      47*T1^8*T2^10 + 41*T1^9*T2^10 - 31*T1^10*T2^10 - 2*T1^11*T2^10 - 
      2*T1^12*T2^10 - 4*T1^5*T2^11 + 2*T1^6*T2^11 + 6*T1^7*T2^11 - 
      14*T1^8*T2^11 + 14*T1^9*T2^11 - 2*T1^10*T2^11 - 4*T1^11*T2^11 + 
      T1^6*T2^12 - 2*T1^8*T2^12 + 3*T1^9*T2^12 - 2*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 595] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-15 + 68*T1 - 160*T1^2 + 207*T1^3 - 160*T1^4 + 68*T1^5 - 15*T1^6 + 
     68*T2 - 276*T1*T2 + 578*T1^2*T2 - 590*T1^3*T2 + 274*T1^4*T2 + 
     38*T1^5*T2 - 78*T1^6*T2 + 32*T1^7*T2 - 160*T2^2 + 578*T1*T2^2 - 
     1039*T1^2*T2^2 + 653*T1^3*T2^2 + 305*T1^4*T2^2 - 859*T1^5*T2^2 + 
     557*T1^6*T2^2 - 178*T1^7*T2^2 + 8*T1^8*T2^2 + 207*T2^3 - 590*T1*T2^3 + 
     653*T1^2*T2^3 + 717*T1^3*T2^3 - 2225*T1^4*T2^3 + 1987*T1^5*T2^3 - 
     255*T1^6*T2^3 - 670*T1^7*T2^3 + 490*T1^8*T2^3 - 117*T1^9*T2^3 - 
     160*T2^4 + 274*T1*T2^4 + 305*T1^2*T2^4 - 2225*T1^3*T2^4 + 
     2973*T1^4*T2^4 - 431*T1^5*T2^4 - 2583*T1^6*T2^4 + 2473*T1^7*T2^4 - 
     541*T1^8*T2^4 - 266*T1^9*T2^4 + 176*T1^10*T2^4 + 68*T2^5 + 38*T1*T2^5 - 
     859*T1^2*T2^5 + 1987*T1^3*T2^5 - 431*T1^4*T2^5 - 4666*T1^5*T2^5 + 
     6530*T1^6*T2^5 - 2888*T1^7*T2^5 - 1253*T1^8*T2^5 + 1220*T1^9*T2^5 - 
     286*T1^10*T2^5 - 112*T1^11*T2^5 - 15*T2^6 - 78*T1*T2^6 + 557*T1^2*T2^6 - 
     255*T1^3*T2^6 - 2583*T1^4*T2^6 + 6530*T1^5*T2^6 - 3348*T1^6*T2^6 - 
     3406*T1^7*T2^6 + 5931*T1^8*T2^6 - 2037*T1^9*T2^6 - 91*T1^10*T2^6 + 
     354*T1^11*T2^6 + 33*T1^12*T2^6 + 32*T1*T2^7 - 178*T1^2*T2^7 - 
     670*T1^3*T2^7 + 2473*T1^4*T2^7 - 2888*T1^5*T2^7 - 3406*T1^6*T2^7 + 
     7790*T1^7*T2^7 - 5345*T1^8*T2^7 - 767*T1^9*T2^7 + 1409*T1^10*T2^7 - 
     502*T1^11*T2^7 - 148*T1^12*T2^7 + 8*T1^2*T2^8 + 490*T1^3*T2^8 - 
     541*T1^4*T2^8 - 1253*T1^5*T2^8 + 5931*T1^6*T2^8 - 5345*T1^7*T2^8 + 
     375*T1^8*T2^8 + 3445*T1^9*T2^8 - 1387*T1^10*T2^8 - 50*T1^11*T2^8 + 
     344*T1^12*T2^8 - 117*T1^3*T2^9 - 266*T1^4*T2^9 + 1220*T1^5*T2^9 - 
     2037*T1^6*T2^9 - 767*T1^7*T2^9 + 3445*T1^8*T2^9 - 3009*T1^9*T2^9 - 
     103*T1^10*T2^9 + 814*T1^11*T2^9 - 441*T1^12*T2^9 + 176*T1^4*T2^10 - 
     286*T1^5*T2^10 - 91*T1^6*T2^10 + 1409*T1^7*T2^10 - 1387*T1^8*T2^10 - 
     103*T1^9*T2^10 + 1505*T1^10*T2^10 - 1042*T1^11*T2^10 + 344*T1^12*T2^10 - 
     112*T1^5*T2^11 + 354*T1^6*T2^11 - 502*T1^7*T2^11 - 50*T1^8*T2^11 + 
     814*T1^9*T2^11 - 1042*T1^10*T2^11 + 552*T1^11*T2^11 - 148*T1^12*T2^11 + 
     33*T1^6*T2^12 - 148*T1^7*T2^12 + 344*T1^8*T2^12 - 441*T1^9*T2^12 + 
     344*T1^10*T2^12 - 148*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 596] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-51 + 188*T1 - 360*T1^2 + 431*T1^3 - 360*T1^4 + 188*T1^5 - 51*T1^6 + 
     188*T2 - 603*T1*T2 + 995*T1^2*T2 - 953*T1^3*T2 + 565*T1^4*T2 - 
     61*T1^5*T2 - 141*T1^6*T2 + 89*T1^7*T2 - 360*T2^2 + 995*T1*T2^2 - 
     1309*T1^2*T2^2 + 705*T1^3*T2^2 + 263*T1^4*T2^2 - 1059*T1^5*T2^2 + 
     959*T1^6*T2^2 - 391*T1^7*T2^2 + 18*T1^8*T2^2 + 431*T2^3 - 953*T1*T2^3 + 
     705*T1^2*T2^3 + 586*T1^3*T2^3 - 1654*T1^4*T2^3 + 1772*T1^5*T2^3 - 
     506*T1^6*T2^3 - 786*T1^7*T2^3 + 829*T1^8*T2^3 - 244*T1^9*T2^3 - 
     360*T2^4 + 565*T1*T2^4 + 263*T1^2*T2^4 - 1654*T1^3*T2^4 + 
     1998*T1^4*T2^4 - 808*T1^5*T2^4 - 1166*T1^6*T2^4 + 1946*T1^7*T2^4 - 
     495*T1^8*T2^4 - 557*T1^9*T2^4 + 396*T1^10*T2^4 + 188*T2^5 - 61*T1*T2^5 - 
     1059*T1^2*T2^5 + 1772*T1^3*T2^5 - 808*T1^4*T2^5 - 1545*T1^5*T2^5 + 
     2739*T1^6*T2^5 - 1669*T1^7*T2^5 - 1306*T1^8*T2^5 + 1524*T1^9*T2^5 - 
     325*T1^10*T2^5 - 307*T1^11*T2^5 - 51*T2^6 - 141*T1*T2^6 + 
     959*T1^2*T2^6 - 506*T1^3*T2^6 - 1166*T1^4*T2^6 + 2739*T1^5*T2^6 - 
     1140*T1^6*T2^6 - 1491*T1^7*T2^6 + 3744*T1^8*T2^6 - 1394*T1^9*T2^6 - 
     585*T1^10*T2^6 + 717*T1^11*T2^6 + 111*T1^12*T2^6 + 89*T1*T2^7 - 
     391*T1^2*T2^7 - 786*T1^3*T2^7 + 1946*T1^4*T2^7 - 1669*T1^5*T2^7 - 
     1491*T1^6*T2^7 + 2793*T1^7*T2^7 - 2530*T1^8*T2^7 - 1132*T1^9*T2^7 + 
     1797*T1^10*T2^7 - 655*T1^11*T2^7 - 406*T1^12*T2^7 + 18*T1^2*T2^8 + 
     829*T1^3*T2^8 - 495*T1^4*T2^8 - 1306*T1^5*T2^8 + 3744*T1^6*T2^8 - 
     2530*T1^7*T2^8 + 580*T1^8*T2^8 + 2294*T1^9*T2^8 - 1253*T1^10*T2^8 - 
     293*T1^11*T2^8 + 774*T1^12*T2^8 - 244*T1^3*T2^9 - 557*T1^4*T2^9 + 
     1524*T1^5*T2^9 - 1394*T1^6*T2^9 - 1132*T1^7*T2^9 + 2294*T1^8*T2^9 - 
     2486*T1^9*T2^9 + 33*T1^10*T2^9 + 1225*T1^11*T2^9 - 919*T1^12*T2^9 + 
     396*T1^4*T2^10 - 325*T1^5*T2^10 - 585*T1^6*T2^10 + 1797*T1^7*T2^10 - 
     1253*T1^8*T2^10 + 33*T1^9*T2^10 + 1683*T1^10*T2^10 - 1711*T1^11*T2^10 + 
     774*T1^12*T2^10 - 307*T1^5*T2^11 + 717*T1^6*T2^11 - 655*T1^7*T2^11 - 
     293*T1^8*T2^11 + 1225*T1^9*T2^11 - 1711*T1^10*T2^11 + 1179*T1^11*T2^11 - 
     406*T1^12*T2^11 + 111*T1^6*T2^12 - 406*T1^7*T2^12 + 774*T1^8*T2^12 - 
     919*T1^9*T2^12 + 774*T1^10*T2^12 - 406*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 597] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-33 + 130*T1 - 274*T1^2 + 337*T1^3 - 274*T1^4 + 130*T1^5 - 33*T1^6 + 
     130*T2 - 418*T1*T2 + 701*T1^2*T2 - 525*T1^3*T2 + 83*T1^4*T2 + 
     301*T1^5*T2 - 258*T1^6*T2 + 98*T1^7*T2 - 274*T2^2 + 701*T1*T2^2 - 
     862*T1^2*T2^2 + 41*T1^3*T2^2 + 696*T1^4*T2^2 - 843*T1^5*T2^2 + 
     158*T1^6*T2^2 + 157*T1^7*T2^2 - 138*T1^8*T2^2 + 337*T2^3 - 525*T1*T2^3 + 
     41*T1^2*T2^3 + 1426*T1^3*T2^3 - 1524*T1^4*T2^3 + 494*T1^5*T2^3 + 
     924*T1^6*T2^3 - 741*T1^7*T2^3 + 211*T1^8*T2^3 + 85*T1^9*T2^3 - 
     274*T2^4 + 83*T1*T2^4 + 696*T1^2*T2^4 - 1524*T1^3*T2^4 - 68*T1^4*T2^4 + 
     1884*T1^5*T2^4 - 2396*T1^6*T2^4 + 660*T1^7*T2^4 + 320*T1^8*T2^4 - 
     333*T1^9*T2^4 - 2*T1^10*T2^4 + 130*T2^5 + 301*T1*T2^5 - 843*T1^2*T2^5 + 
     494*T1^3*T2^5 + 1884*T1^4*T2^5 - 2791*T1^5*T2^5 + 1375*T1^6*T2^5 + 
     983*T1^7*T2^5 - 1192*T1^8*T2^5 + 347*T1^9*T2^5 + 125*T1^10*T2^5 - 
     30*T1^11*T2^5 - 33*T2^6 - 258*T1*T2^6 + 158*T1^2*T2^6 + 924*T1^3*T2^6 - 
     2396*T1^4*T2^6 + 1375*T1^5*T2^6 + 1248*T1^6*T2^6 - 2491*T1^7*T2^6 + 
     1306*T1^8*T2^6 + 148*T1^9*T2^6 - 326*T1^10*T2^6 + 62*T1^11*T2^6 + 
     15*T1^12*T2^6 + 98*T1*T2^7 + 157*T1^2*T2^7 - 741*T1^3*T2^7 + 
     660*T1^4*T2^7 + 983*T1^5*T2^7 - 2491*T1^6*T2^7 + 1675*T1^7*T2^7 + 
     82*T1^8*T2^7 - 1026*T1^9*T2^7 + 449*T1^10*T2^7 - 19*T1^11*T2^7 - 
     62*T1^12*T2^7 - 138*T1^2*T2^8 + 211*T1^3*T2^8 + 320*T1^4*T2^8 - 
     1192*T1^5*T2^8 + 1306*T1^6*T2^8 + 82*T1^7*T2^8 - 1022*T1^8*T2^8 + 
     992*T1^9*T2^8 - 56*T1^10*T2^8 - 205*T1^11*T2^8 + 134*T1^12*T2^8 + 
     85*T1^3*T2^9 - 333*T1^4*T2^9 + 347*T1^5*T2^9 + 148*T1^6*T2^9 - 
     1026*T1^7*T2^9 + 992*T1^8*T2^9 - 354*T1^9*T2^9 - 435*T1^10*T2^9 + 
     403*T1^11*T2^9 - 167*T1^12*T2^9 - 2*T1^4*T2^10 + 125*T1^5*T2^10 - 
     326*T1^6*T2^10 + 449*T1^7*T2^10 - 56*T1^8*T2^10 - 435*T1^9*T2^10 + 
     694*T1^10*T2^10 - 419*T1^11*T2^10 + 134*T1^12*T2^10 - 30*T1^5*T2^11 + 
     62*T1^6*T2^11 - 19*T1^7*T2^11 - 205*T1^8*T2^11 + 403*T1^9*T2^11 - 
     419*T1^10*T2^11 + 222*T1^11*T2^11 - 62*T1^12*T2^11 + 15*T1^6*T2^12 - 
     62*T1^7*T2^12 + 134*T1^8*T2^12 - 167*T1^9*T2^12 + 134*T1^10*T2^12 - 
     62*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 598] -> 
  {(1 - 8*T + 24*T^2 - 33*T^3 + 24*T^4 - 8*T^5 + T^6)/T^3, 
   (-4 + 32*T1 - 96*T1^2 + 132*T1^3 - 96*T1^4 + 32*T1^5 - 4*T1^6 + 32*T2 - 
     232*T1*T2 + 575*T1^2*T2 - 479*T1^3*T2 - 23*T1^4*T2 + 319*T1^5*T2 - 
     160*T1^6*T2 + 24*T1^7*T2 - 96*T2^2 + 575*T1*T2^2 - 816*T1^2*T2^2 - 
     1017*T1^3*T2^2 + 2812*T1^4*T2^2 - 2217*T1^5*T2^2 + 288*T1^6*T2^2 + 
     191*T1^7*T2^2 - 48*T1^8*T2^2 + 132*T2^3 - 479*T1*T2^3 - 1017*T1^2*T2^3 + 
     6221*T1^3*T2^3 - 6756*T1^4*T2^3 + 1020*T1^5*T2^3 + 3443*T1^6*T2^3 - 
     1665*T1^7*T2^3 + 121*T1^8*T2^3 + 33*T1^9*T2^3 - 96*T2^4 - 23*T1*T2^4 + 
     2812*T1^2*T2^4 - 6756*T1^3*T2^4 - 1058*T1^4*T2^4 + 12296*T1^5*T2^4 - 
     12050*T1^6*T2^4 + 2220*T1^7*T2^4 + 892*T1^8*T2^4 - 263*T1^9*T2^4 + 
     32*T2^5 + 319*T1*T2^5 - 2217*T1^2*T2^5 + 1020*T1^3*T2^5 + 
     12296*T1^4*T2^5 - 19028*T1^5*T2^5 + 8044*T1^6*T2^5 + 5576*T1^7*T2^5 - 
     4356*T1^8*T2^5 + 639*T1^9*T2^5 + 63*T1^10*T2^5 - 8*T1^11*T2^5 - 4*T2^6 - 
     160*T1*T2^6 + 288*T1^2*T2^6 + 3443*T1^3*T2^6 - 12050*T1^4*T2^6 + 
     8044*T1^5*T2^6 + 7848*T1^6*T2^6 - 14916*T1^7*T2^6 + 6142*T1^8*T2^6 + 
     173*T1^9*T2^6 - 464*T1^10*T2^6 + 48*T1^11*T2^6 + 2*T1^12*T2^6 + 
     24*T1*T2^7 + 191*T1^2*T2^7 - 1665*T1^3*T2^7 + 2220*T1^4*T2^7 + 
     5576*T1^5*T2^7 - 14916*T1^6*T2^7 + 12156*T1^7*T2^7 - 1144*T1^8*T2^7 - 
     3156*T1^9*T2^7 + 1191*T1^10*T2^7 - 65*T1^11*T2^7 - 16*T1^12*T2^7 - 
     48*T1^2*T2^8 + 121*T1^3*T2^8 + 892*T1^4*T2^8 - 4356*T1^5*T2^8 + 
     6142*T1^6*T2^8 - 1144*T1^7*T2^8 - 4850*T1^8*T2^8 + 4620*T1^9*T2^8 - 
     1028*T1^10*T2^8 - 119*T1^11*T2^8 + 48*T1^12*T2^8 + 33*T1^3*T2^9 - 
     263*T1^4*T2^9 + 639*T1^5*T2^9 + 173*T1^6*T2^9 - 3156*T1^7*T2^9 + 
     4620*T1^8*T2^9 - 2605*T1^9*T2^9 - 9*T1^10*T2^9 + 337*T1^11*T2^9 - 
     66*T1^12*T2^9 + 63*T1^5*T2^10 - 464*T1^6*T2^10 + 1191*T1^7*T2^10 - 
     1028*T1^8*T2^10 - 9*T1^9*T2^10 + 640*T1^10*T2^10 - 321*T1^11*T2^10 + 
     48*T1^12*T2^10 - 8*T1^5*T2^11 + 48*T1^6*T2^11 - 65*T1^7*T2^11 - 
     119*T1^8*T2^11 + 337*T1^9*T2^11 - 321*T1^10*T2^11 + 120*T1^11*T2^11 - 
     16*T1^12*T2^11 + 2*T1^6*T2^12 - 16*T1^7*T2^12 + 48*T1^8*T2^12 - 
     66*T1^9*T2^12 + 48*T1^10*T2^12 - 16*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 599] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-5 + 20*T1 - 35*T1^2 + 50*T1^3 - 55*T1^4 + 50*T1^5 - 35*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 76*T1^2*T2 - 88*T1^3*T2 + 
      60*T1^4*T2 - 24*T1^5*T2 - 20*T1^6*T2 + 32*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 35*T2^2 + 76*T1*T2^2 - 11*T1^2*T2^2 - 10*T1^3*T2^2 + 
      104*T1^4*T2^2 - 141*T1^5*T2^2 + 160*T1^6*T2^2 - 94*T1^7*T2^2 + 
      73*T1^8*T2^2 + 20*T1^9*T2^2 - 21*T1^10*T2^2 + 50*T2^3 - 88*T1*T2^3 - 
      10*T1^2*T2^3 - 42*T1^3*T2^3 - 66*T1^4*T2^3 + 40*T1^5*T2^3 - 
      38*T1^6*T2^3 - 40*T1^7*T2^3 - 20*T1^8*T2^3 - 80*T1^9*T2^3 + 
      4*T1^10*T2^3 + 20*T1^11*T2^3 - 55*T2^4 + 60*T1*T2^4 + 104*T1^2*T2^4 - 
      66*T1^3*T2^4 + 309*T1^4*T2^4 - 263*T1^5*T2^4 + 277*T1^6*T2^4 - 
      207*T1^7*T2^4 + 269*T1^8*T2^4 - 26*T1^9*T2^4 + 92*T1^10*T2^4 - 
      36*T1^11*T2^4 - 11*T1^12*T2^4 + 50*T2^5 - 24*T1*T2^5 - 141*T1^2*T2^5 + 
      40*T1^3*T2^5 - 263*T1^4*T2^5 + 98*T1^5*T2^5 - 123*T1^6*T2^5 + 
      101*T1^7*T2^5 - 142*T1^8*T2^5 - 131*T1^9*T2^5 - 34*T1^10*T2^5 - 
      33*T1^11*T2^5 + 44*T1^12*T2^5 - 35*T2^6 - 20*T1*T2^6 + 160*T1^2*T2^6 - 
      38*T1^3*T2^6 + 277*T1^4*T2^6 - 123*T1^5*T2^6 + 195*T1^6*T2^6 - 
      175*T1^7*T2^6 + 103*T1^8*T2^6 + 133*T1^9*T2^6 + 63*T1^10*T2^6 + 
      46*T1^11*T2^6 - 32*T1^12*T2^6 - 28*T1^13*T2^6 + 7*T1^14*T2^6 + 
      20*T2^7 + 32*T1*T2^7 - 94*T1^2*T2^7 - 40*T1^3*T2^7 - 207*T1^4*T2^7 + 
      101*T1^5*T2^7 - 175*T1^6*T2^7 + 142*T1^7*T2^7 + 2*T1^8*T2^7 - 
      111*T1^9*T2^7 - 59*T1^10*T2^7 - 35*T1^11*T2^7 - 10*T1^12*T2^7 + 
      60*T1^13*T2^7 + 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 + 
      73*T1^2*T2^8 - 20*T1^3*T2^8 + 269*T1^4*T2^8 - 142*T1^5*T2^8 + 
      103*T1^6*T2^8 + 2*T1^7*T2^8 - 204*T1^8*T2^8 + 170*T1^9*T2^8 - 
      41*T1^10*T2^8 + 74*T1^11*T2^8 - 31*T1^12*T2^8 - 12*T1^13*T2^8 - 
      59*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      20*T1^2*T2^9 - 80*T1^3*T2^9 - 26*T1^4*T2^9 - 131*T1^5*T2^9 + 
      133*T1^6*T2^9 - 111*T1^7*T2^9 + 170*T1^8*T2^9 + 30*T1^9*T2^9 - 
      47*T1^10*T2^9 - 27*T1^11*T2^9 + 41*T1^12*T2^9 + 4*T1^13*T2^9 + 
      74*T1^14*T2^9 - 8*T1^15*T2^9 - 12*T1^16*T2^9 - 21*T1^2*T2^10 + 
      4*T1^3*T2^10 + 92*T1^4*T2^10 - 34*T1^5*T2^10 + 63*T1^6*T2^10 - 
      59*T1^7*T2^10 - 41*T1^8*T2^10 - 47*T1^9*T2^10 - 133*T1^10*T2^10 + 
      197*T1^11*T2^10 - 151*T1^12*T2^10 + 50*T1^13*T2^10 - 100*T1^14*T2^10 - 
      4*T1^15*T2^10 + 21*T1^16*T2^10 + 20*T1^3*T2^11 - 36*T1^4*T2^11 - 
      33*T1^5*T2^11 + 46*T1^6*T2^11 - 35*T1^7*T2^11 + 74*T1^8*T2^11 - 
      27*T1^9*T2^11 + 197*T1^10*T2^11 - 166*T1^11*T2^11 + 97*T1^12*T2^11 - 
      28*T1^13*T2^11 + 75*T1^14*T2^11 + 32*T1^15*T2^11 - 30*T1^16*T2^11 - 
      11*T1^4*T2^12 + 44*T1^5*T2^12 - 32*T1^6*T2^12 - 10*T1^7*T2^12 - 
      31*T1^8*T2^12 + 41*T1^9*T2^12 - 151*T1^10*T2^12 + 97*T1^11*T2^12 - 
      71*T1^12*T2^12 + 30*T1^13*T2^12 - 44*T1^14*T2^12 - 52*T1^15*T2^12 + 
      33*T1^16*T2^12 - 28*T1^6*T2^13 + 60*T1^7*T2^13 - 12*T1^8*T2^13 + 
      4*T1^9*T2^13 + 50*T1^10*T2^13 - 28*T1^11*T2^13 + 30*T1^12*T2^13 + 
      10*T1^13*T2^13 - 10*T1^14*T2^13 + 64*T1^15*T2^13 - 30*T1^16*T2^13 + 
      7*T1^6*T2^14 + 4*T1^7*T2^14 - 59*T1^8*T2^14 + 74*T1^9*T2^14 - 
      100*T1^10*T2^14 + 75*T1^11*T2^14 - 44*T1^12*T2^14 - 10*T1^13*T2^14 + 
      25*T1^14*T2^14 - 52*T1^15*T2^14 + 21*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 8*T1^9*T2^15 - 4*T1^10*T2^15 + 32*T1^11*T2^15 - 
      52*T1^12*T2^15 + 64*T1^13*T2^15 - 52*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 21*T1^10*T2^16 - 
      30*T1^11*T2^16 + 33*T1^12*T2^16 - 30*T1^13*T2^16 + 21*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 600] -> 
  {((1 - T + T^2)*(4 - 5*T + 3*T^2 - 5*T^3 + 4*T^4))/T^3, 
   -((400 - 888*T1 + 1168*T1^2 - 1256*T1^3 + 1168*T1^4 - 888*T1^5 + 
      400*T1^6 - 888*T2 + 1238*T1*T2 - 964*T1^2*T2 + 638*T1^3*T2 - 
      262*T1^4*T2 - 208*T1^5*T2 + 770*T1^6*T2 - 744*T1^7*T2 + 1168*T2^2 - 
      964*T1*T2^2 + 471*T1^2*T2^2 - 414*T1^3*T2^2 + 281*T1^4*T2^2 - 
      30*T1^5*T2^2 - 297*T1^6*T2^2 - 100*T1^7*T2^2 + 784*T1^8*T2^2 - 
      1256*T2^3 + 638*T1*T2^3 - 414*T1^2*T2^3 + 628*T1^3*T2^3 - 
      445*T1^4*T2^3 + 131*T1^5*T2^3 + 244*T1^6*T2^3 + 54*T1^7*T2^3 - 
      334*T1^8*T2^3 - 632*T1^9*T2^3 + 1168*T2^4 - 262*T1*T2^4 + 
      281*T1^2*T2^4 - 445*T1^3*T2^4 + 43*T1^4*T2^4 + 303*T1^5*T2^4 - 
      557*T1^6*T2^4 + 179*T1^7*T2^4 + 83*T1^8*T2^4 + 530*T1^9*T2^4 + 
      400*T1^10*T2^4 - 888*T2^5 - 208*T1*T2^5 - 30*T1^2*T2^5 + 
      131*T1^3*T2^5 + 303*T1^4*T2^5 - 346*T1^5*T2^5 + 218*T1^6*T2^5 + 
      231*T1^7*T2^5 - 349*T1^8*T2^5 - 162*T1^9*T2^5 - 532*T1^10*T2^5 - 
      168*T1^11*T2^5 + 400*T2^6 + 770*T1*T2^6 - 297*T1^2*T2^6 + 
      244*T1^3*T2^6 - 557*T1^4*T2^6 + 218*T1^5*T2^6 + 108*T1^6*T2^6 - 
      358*T1^7*T2^6 + 199*T1^8*T2^6 + 196*T1^9*T2^6 + 315*T1^10*T2^6 + 
      338*T1^11*T2^6 + 16*T1^12*T2^6 - 744*T1*T2^7 - 100*T1^2*T2^7 + 
      54*T1^3*T2^7 + 179*T1^4*T2^7 + 231*T1^5*T2^7 - 358*T1^6*T2^7 + 
      206*T1^7*T2^7 + 159*T1^8*T2^7 - 301*T1^9*T2^7 - 78*T1^10*T2^7 - 
      424*T1^11*T2^7 - 24*T1^12*T2^7 + 784*T1^2*T2^8 - 334*T1^3*T2^8 + 
      83*T1^4*T2^8 - 349*T1^5*T2^8 + 199*T1^6*T2^8 + 159*T1^7*T2^8 - 
      401*T1^8*T2^8 + 275*T1^9*T2^8 - 115*T1^10*T2^8 + 458*T1^11*T2^8 + 
      16*T1^12*T2^8 - 632*T1^3*T2^9 + 530*T1^4*T2^9 - 162*T1^5*T2^9 + 
      196*T1^6*T2^9 - 301*T1^7*T2^9 + 275*T1^8*T2^9 - 188*T1^9*T2^9 + 
      306*T1^10*T2^9 - 442*T1^11*T2^9 - 8*T1^12*T2^9 + 400*T1^4*T2^10 - 
      532*T1^5*T2^10 + 315*T1^6*T2^10 - 78*T1^7*T2^10 - 115*T1^8*T2^10 + 
      306*T1^9*T2^10 - 453*T1^10*T2^10 + 332*T1^11*T2^10 + 16*T1^12*T2^10 - 
      168*T1^5*T2^11 + 338*T1^6*T2^11 - 424*T1^7*T2^11 + 458*T1^8*T2^11 - 
      442*T1^9*T2^11 + 332*T1^10*T2^11 - 130*T1^11*T2^11 - 24*T1^12*T2^11 + 
      16*T1^6*T2^12 - 24*T1^7*T2^12 + 16*T1^8*T2^12 - 8*T1^9*T2^12 + 
      16*T1^10*T2^12 - 24*T1^11*T2^12 + 16*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 601] -> 
  {(1 - T + T^2)^3/T^3, (-4 + 12*T1 - 24*T1^2 + 28*T1^3 - 24*T1^4 + 12*T1^5 - 
     4*T1^6 + 12*T2 - 27*T1*T2 + 45*T1^2*T2 - 30*T1^3*T2 + 9*T1^4*T2 + 
     18*T1^5*T2 - 15*T1^6*T2 + 9*T1^7*T2 - 24*T2^2 + 45*T1*T2^2 - 
     74*T1^2*T2^2 + 34*T1^3*T2^2 - 12*T1^4*T2^2 - 14*T1^5*T2^2 - 
     14*T1^6*T2^2 + 9*T1^7*T2^2 - 12*T1^8*T2^2 + 28*T2^3 - 30*T1*T2^3 + 
     34*T1^2*T2^3 + 47*T1^3*T2^3 - 35*T1^4*T2^3 + 10*T1^5*T2^3 + 
     53*T1^6*T2^3 - 20*T1^7*T2^3 + 15*T1^8*T2^3 + 7*T1^9*T2^3 - 24*T2^4 + 
     9*T1*T2^4 - 12*T1^2*T2^4 - 35*T1^3*T2^4 - 56*T1^4*T2^4 + 108*T1^5*T2^4 - 
     104*T1^6*T2^4 + 7*T1^7*T2^4 + 6*T1^8*T2^4 - 21*T1^9*T2^4 + 12*T2^5 + 
     18*T1*T2^5 - 14*T1^2*T2^5 + 10*T1^3*T2^5 + 108*T1^4*T2^5 - 
     115*T1^5*T2^5 + 5*T1^6*T2^5 + 72*T1^7*T2^5 - 41*T1^8*T2^5 + 
     16*T1^9*T2^5 + 9*T1^10*T2^5 - 3*T1^11*T2^5 - 4*T2^6 - 15*T1*T2^6 - 
     14*T1^2*T2^6 + 53*T1^3*T2^6 - 104*T1^4*T2^6 + 5*T1^5*T2^6 + 
     156*T1^6*T2^6 - 121*T1^7*T2^6 + 40*T1^8*T2^6 + 11*T1^9*T2^6 - 
     14*T1^10*T2^6 + 3*T1^11*T2^6 + 2*T1^12*T2^6 + 9*T1*T2^7 + 9*T1^2*T2^7 - 
     20*T1^3*T2^7 + 7*T1^4*T2^7 + 72*T1^5*T2^7 - 121*T1^6*T2^7 - T1^7*T2^7 + 
     36*T1^8*T2^7 - 44*T1^9*T2^7 + 10*T1^10*T2^7 - 6*T1^12*T2^7 - 
     12*T1^2*T2^8 + 15*T1^3*T2^8 + 6*T1^4*T2^8 - 41*T1^5*T2^8 + 
     40*T1^6*T2^8 + 36*T1^7*T2^8 - 8*T1^8*T2^8 + T1^9*T2^8 + 24*T1^10*T2^8 - 
     15*T1^11*T2^8 + 12*T1^12*T2^8 + 7*T1^3*T2^9 - 21*T1^4*T2^9 + 
     16*T1^5*T2^9 + 11*T1^6*T2^9 - 44*T1^7*T2^9 + T1^8*T2^9 + 17*T1^9*T2^9 - 
     38*T1^10*T2^9 + 24*T1^11*T2^9 - 14*T1^12*T2^9 + 9*T1^5*T2^10 - 
     14*T1^6*T2^10 + 10*T1^7*T2^10 + 24*T1^8*T2^10 - 38*T1^9*T2^10 + 
     46*T1^10*T2^10 - 27*T1^11*T2^10 + 12*T1^12*T2^10 - 3*T1^5*T2^11 + 
     3*T1^6*T2^11 - 15*T1^8*T2^11 + 24*T1^9*T2^11 - 27*T1^10*T2^11 + 
     15*T1^11*T2^11 - 6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 
     12*T1^8*T2^12 - 14*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 602] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 96*T1^2 + 124*T1^3 - 96*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 625*T1^2*T2 - 470*T1^3*T2 + 25*T1^4*T2 + 328*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 96*T2^2 + 625*T1*T2^2 - 205*T1^2*T2^2 - 
     2294*T1^3*T2^2 + 3903*T1^4*T2^2 - 3350*T1^5*T2^2 + 899*T1^6*T2^2 + 
     193*T1^7*T2^2 - 48*T1^8*T2^2 + 124*T2^3 - 470*T1*T2^3 - 2294*T1^2*T2^3 + 
     7525*T1^3*T2^3 - 6880*T1^4*T2^3 + 1931*T1^5*T2^3 + 3373*T1^6*T2^3 - 
     2366*T1^7*T2^3 + 151*T1^8*T2^3 + 31*T1^9*T2^3 - 96*T2^4 + 25*T1*T2^4 + 
     3903*T1^2*T2^4 - 6880*T1^3*T2^4 - 911*T1^4*T2^4 + 9071*T1^5*T2^4 - 
     10979*T1^6*T2^4 + 2978*T1^7*T2^4 + 1185*T1^8*T2^4 - 281*T1^9*T2^4 + 
     36*T2^5 + 328*T1*T2^5 - 3350*T1^2*T2^5 + 1931*T1^3*T2^5 + 
     9071*T1^4*T2^5 - 12987*T1^5*T2^5 + 6999*T1^6*T2^5 + 4175*T1^7*T2^5 - 
     4786*T1^8*T2^5 + 658*T1^9*T2^5 + 85*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 899*T1^2*T2^6 + 3373*T1^3*T2^6 - 10979*T1^4*T2^6 + 
     6999*T1^5*T2^6 + 3984*T1^6*T2^6 - 10947*T1^7*T2^6 + 5617*T1^8*T2^6 + 
     595*T1^9*T2^6 - 721*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 193*T1^2*T2^7 - 2366*T1^3*T2^7 + 2978*T1^4*T2^7 + 
     4175*T1^5*T2^7 - 10947*T1^6*T2^7 + 9039*T1^7*T2^7 - 721*T1^8*T2^7 - 
     3739*T1^9*T2^7 + 1642*T1^10*T2^7 - 50*T1^11*T2^7 - 18*T1^12*T2^7 - 
     48*T1^2*T2^8 + 151*T1^3*T2^8 + 1185*T1^4*T2^8 - 4786*T1^5*T2^8 + 
     5617*T1^6*T2^8 - 721*T1^7*T2^8 - 4451*T1^8*T2^8 + 5072*T1^9*T2^8 - 
     1533*T1^10*T2^8 - 155*T1^11*T2^8 + 48*T1^12*T2^8 + 31*T1^3*T2^9 - 
     281*T1^4*T2^9 + 658*T1^5*T2^9 + 595*T1^6*T2^9 - 3739*T1^7*T2^9 + 
     5072*T1^8*T2^9 - 3557*T1^9*T2^9 + 586*T1^10*T2^9 + 340*T1^11*T2^9 - 
     62*T1^12*T2^9 + 85*T1^5*T2^10 - 721*T1^6*T2^10 + 1642*T1^7*T2^10 - 
     1533*T1^8*T2^10 + 586*T1^9*T2^10 + 383*T1^10*T2^10 - 347*T1^11*T2^10 + 
     48*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 50*T1^7*T2^11 - 
     155*T1^8*T2^11 + 340*T1^9*T2^11 - 347*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 
     62*T1^9*T2^12 + 48*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 603] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T^2 + T^4))/T^4), 
   -((-7 + 28*T1 - 28*T1^2 + 21*T1^4 - 28*T1^6 + 28*T1^7 - 7*T1^8 + 28*T2 - 
      88*T1*T2 + 16*T1^2*T2 + 96*T1^3*T2 - 84*T1^4*T2 - 72*T1^5*T2 + 
      112*T1^6*T2 - 16*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 28*T2^2 + 
      16*T1*T2^2 + 248*T1^2*T2^2 - 298*T1^3*T2^2 + 2*T1^4*T2^2 + 
      286*T1^5*T2^2 - 54*T1^6*T2^2 - 266*T1^7*T2^2 + 272*T1^8*T2^2 - 
      16*T1^9*T2^2 - 20*T1^10*T2^2 + 96*T1*T2^3 - 298*T1^2*T2^3 + 
      62*T1^3*T2^3 + 309*T1^4*T2^3 - 279*T1^5*T2^3 - 231*T1^6*T2^3 + 
      373*T1^7*T2^3 - 66*T1^8*T2^3 - 218*T1^9*T2^3 + 80*T1^10*T2^3 + 
      21*T2^4 - 84*T1*T2^4 + 2*T1^2*T2^4 + 309*T1^3*T2^4 - 347*T1^4*T2^4 - 
      34*T1^5*T2^4 + 335*T1^6*T2^4 - 82*T1^7*T2^4 - 299*T1^8*T2^4 + 
      309*T1^9*T2^4 - 46*T1^10*T2^4 - 36*T1^11*T2^4 + 9*T1^12*T2^4 - 
      72*T1*T2^5 + 286*T1^2*T2^5 - 279*T1^3*T2^5 - 34*T1^4*T2^5 + 
      300*T1^5*T2^5 - 105*T1^6*T2^5 - 249*T1^7*T2^5 + 336*T1^8*T2^5 - 
      70*T1^9*T2^5 - 135*T1^10*T2^5 + 142*T1^11*T2^5 - 36*T1^12*T2^5 - 
      28*T2^6 + 112*T1*T2^6 - 54*T1^2*T2^6 - 231*T1^3*T2^6 + 335*T1^4*T2^6 - 
      105*T1^5*T2^6 - 186*T1^6*T2^6 + 144*T1^7*T2^6 + 54*T1^8*T2^6 - 
      201*T1^9*T2^6 + 191*T1^10*T2^6 - 135*T1^11*T2^6 + 18*T1^12*T2^6 + 
      16*T1^13*T2^6 - 4*T1^14*T2^6 + 28*T2^7 - 16*T1*T2^7 - 266*T1^2*T2^7 + 
      373*T1^3*T2^7 - 82*T1^4*T2^7 - 249*T1^5*T2^7 + 144*T1^6*T2^7 + 
      210*T1^7*T2^7 - 290*T1^8*T2^7 + 112*T1^9*T2^7 - 9*T1^10*T2^7 + 
      2*T1^11*T2^7 + 53*T1^12*T2^7 - 58*T1^13*T2^7 + 16*T1^14*T2^7 - 7*T2^8 - 
      68*T1*T2^8 + 272*T1^2*T2^8 - 66*T1^3*T2^8 - 299*T1^4*T2^8 + 
      336*T1^5*T2^8 + 54*T1^6*T2^8 - 290*T1^7*T2^8 + 48*T1^8*T2^8 + 
      222*T1^9*T2^8 - 170*T1^10*T2^8 + 48*T1^11*T2^8 - 67*T1^12*T2^8 + 
      62*T1^13*T2^8 - 16*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 
      24*T1*T2^9 - 16*T1^2*T2^9 - 218*T1^3*T2^9 + 309*T1^4*T2^9 - 
      70*T1^5*T2^9 - 201*T1^6*T2^9 + 112*T1^7*T2^9 + 222*T1^8*T2^9 - 
      278*T1^9*T2^9 + 80*T1^10*T2^9 + 39*T1^11*T2^9 + 14*T1^12*T2^9 - 
      11*T1^13*T2^9 - 10*T1^14*T2^9 + 16*T1^15*T2^9 - 4*T1^16*T2^9 - 
      20*T1^2*T2^10 + 80*T1^3*T2^10 - 46*T1^4*T2^10 - 135*T1^5*T2^10 + 
      191*T1^6*T2^10 - 9*T1^7*T2^10 - 170*T1^8*T2^10 + 80*T1^9*T2^10 + 
      70*T1^10*T2^10 - 105*T1^11*T2^10 + 47*T1^12*T2^10 - 39*T1^13*T2^10 + 
      26*T1^14*T2^10 - 16*T1^15*T2^10 + 4*T1^16*T2^10 - 36*T1^4*T2^11 + 
      142*T1^5*T2^11 - 135*T1^6*T2^11 + 2*T1^7*T2^11 + 48*T1^8*T2^11 + 
      39*T1^9*T2^11 - 105*T1^10*T2^11 + 84*T1^11*T2^11 - 34*T1^12*T2^11 + 
      9*T1^13*T2^11 - 2*T1^14*T2^11 + 9*T1^4*T2^12 - 36*T1^5*T2^12 + 
      18*T1^6*T2^12 + 53*T1^7*T2^12 - 67*T1^8*T2^12 + 14*T1^9*T2^12 + 
      47*T1^10*T2^12 - 34*T1^11*T2^12 - 19*T1^12*T2^12 + 53*T1^13*T2^12 - 
      30*T1^14*T2^12 + 12*T1^15*T2^12 - 3*T1^16*T2^12 + 16*T1^6*T2^13 - 
      58*T1^7*T2^13 + 62*T1^8*T2^13 - 11*T1^9*T2^13 - 39*T1^10*T2^13 + 
      9*T1^11*T2^13 + 53*T1^12*T2^13 - 66*T1^13*T2^13 + 22*T1^14*T2^13 - 
      4*T1^6*T2^14 + 16*T1^7*T2^14 - 16*T1^8*T2^14 - 10*T1^9*T2^14 + 
      26*T1^10*T2^14 - 2*T1^11*T2^14 - 30*T1^12*T2^14 + 22*T1^13*T2^14 + 
      8*T1^14*T2^14 - 16*T1^15*T2^14 + 4*T1^16*T2^14 - 4*T1^8*T2^15 + 
      16*T1^9*T2^15 - 16*T1^10*T2^15 + 12*T1^12*T2^15 - 16*T1^14*T2^15 + 
      16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      4*T1^10*T2^16 - 3*T1^12*T2^16 + 4*T1^14*T2^16 - 4*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 604] -> {(1 - T + T^2)^4/T^4, 
   (2*(1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-1 + 3*T1 - 6*T1^2 + 7*T1^3 - 6*T1^4 + 3*T1^5 - T1^6 + 3*T2 - 8*T1*T2 + 
      15*T1^2*T2 - 15*T1^3*T2 + 11*T1^4*T2 - 3*T1^5*T2 + T1^7*T2 - 6*T2^2 + 
      15*T1*T2^2 - 23*T1^2*T2^2 + 15*T1^3*T2^2 - 17*T1^5*T2^2 + 
      17*T1^6*T2^2 - 9*T1^7*T2^2 + 2*T1^8*T2^2 + 7*T2^3 - 15*T1*T2^3 + 
      15*T1^2*T2^3 - T1^3*T2^3 - 14*T1^4*T2^3 + 16*T1^5*T2^3 + 3*T1^6*T2^3 - 
      21*T1^7*T2^3 + 15*T1^8*T2^3 - 7*T1^9*T2^3 - 6*T2^4 + 11*T1*T2^4 - 
      14*T1^3*T2^4 + 31*T1^4*T2^4 - 18*T1^5*T2^4 - T1^6*T2^4 + 14*T1^7*T2^4 + 
      12*T1^8*T2^4 - 9*T1^9*T2^4 + 10*T1^10*T2^4 + 3*T2^5 - 3*T1*T2^5 - 
      17*T1^2*T2^5 + 16*T1^3*T2^5 - 18*T1^4*T2^5 - 34*T1^5*T2^5 + 
      46*T1^6*T2^5 - 42*T1^7*T2^5 - 18*T1^8*T2^5 + 3*T1^9*T2^5 - 
      9*T1^10*T2^5 - 7*T1^11*T2^5 - T2^6 + 17*T1^2*T2^6 + 3*T1^3*T2^6 - 
      T1^4*T2^6 + 46*T1^5*T2^6 + 6*T1^6*T2^6 - 38*T1^7*T2^6 + 95*T1^8*T2^6 - 
      25*T1^9*T2^6 + 17*T1^10*T2^6 + 12*T1^11*T2^6 + 3*T1^12*T2^6 + T1*T2^7 - 
      9*T1^2*T2^7 - 21*T1^3*T2^7 + 14*T1^4*T2^7 - 42*T1^5*T2^7 - 
      38*T1^6*T2^7 + 42*T1^7*T2^7 - 66*T1^8*T2^7 - 20*T1^9*T2^7 - 
      T1^10*T2^7 - 15*T1^11*T2^7 - 9*T1^12*T2^7 + 2*T1^2*T2^8 + 
      15*T1^3*T2^8 + 12*T1^4*T2^8 - 18*T1^5*T2^8 + 95*T1^6*T2^8 - 
      66*T1^7*T2^8 + 63*T1^8*T2^8 + 10*T1^9*T2^8 + 24*T1^10*T2^8 - 
      5*T1^11*T2^8 + 18*T1^12*T2^8 - 7*T1^3*T2^9 - 9*T1^4*T2^9 + 
      3*T1^5*T2^9 - 25*T1^6*T2^9 - 20*T1^7*T2^9 + 10*T1^8*T2^9 - 
      21*T1^9*T2^9 - 33*T1^10*T2^9 + 21*T1^11*T2^9 - 21*T1^12*T2^9 + 
      10*T1^4*T2^10 - 9*T1^5*T2^10 + 17*T1^6*T2^10 - T1^7*T2^10 + 
      24*T1^8*T2^10 - 33*T1^9*T2^10 + 57*T1^10*T2^10 - 33*T1^11*T2^10 + 
      18*T1^12*T2^10 - 7*T1^5*T2^11 + 12*T1^6*T2^11 - 15*T1^7*T2^11 - 
      5*T1^8*T2^11 + 21*T1^9*T2^11 - 33*T1^10*T2^11 + 20*T1^11*T2^11 - 
      9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 18*T1^8*T2^12 - 
      21*T1^9*T2^12 + 18*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 605] -> 
  {-(((-1 - T + T^2)*(1 - T + T^2)^2*(-1 + T + T^2))/T^4), 
   -(((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
      (-3 + 3*T1 + 6*T1^2 - 9*T1^3 + 6*T1^4 + 3*T1^5 - 3*T1^6 + 3*T2 - 
       4*T1*T2 - 4*T1^2*T2 + 7*T1^3*T2 - 3*T1^4*T2 - 2*T1^5*T2 + T1^7*T2 + 
       6*T2^2 - 4*T1*T2^2 - 8*T1^2*T2^2 + 12*T1^3*T2^2 - 26*T1^4*T2^2 + 
       4*T1^5*T2^2 - 2*T1^6*T2^2 - 2*T1^7*T2^2 + 4*T1^8*T2^2 - 9*T2^3 + 
       7*T1*T2^3 + 12*T1^2*T2^3 - 16*T1^3*T2^3 + 25*T1^4*T2^3 + 3*T1^5*T2^3 + 
       10*T1^6*T2^3 - 8*T1^7*T2^3 - 7*T1^8*T2^3 + 3*T1^9*T2^3 + 6*T2^4 - 
       3*T1*T2^4 - 26*T1^2*T2^4 + 25*T1^3*T2^4 + 14*T1^4*T2^4 - 
       46*T1^5*T2^4 + 32*T1^6*T2^4 + T1^7*T2^4 + 8*T1^8*T2^4 + 5*T1^9*T2^4 - 
       8*T1^10*T2^4 + 3*T2^5 - 2*T1*T2^5 + 4*T1^2*T2^5 + 3*T1^3*T2^5 - 
       46*T1^4*T2^5 + 52*T1^5*T2^5 - 36*T1^6*T2^5 + 4*T1^7*T2^5 + T1^8*T2^5 - 
       12*T1^9*T2^5 + 14*T1^10*T2^5 - 3*T1^11*T2^5 - 3*T2^6 - 2*T1^2*T2^6 + 
       10*T1^3*T2^6 + 32*T1^4*T2^6 - 36*T1^5*T2^6 - 12*T1^6*T2^6 + 
       40*T1^7*T2^6 - 44*T1^8*T2^6 + 2*T1^9*T2^6 + 2*T1^10*T2^6 - 
       4*T1^11*T2^6 + 5*T1^12*T2^6 + T1*T2^7 - 2*T1^2*T2^7 - 8*T1^3*T2^7 + 
       T1^4*T2^7 + 4*T1^5*T2^7 + 40*T1^6*T2^7 - 48*T1^7*T2^7 + 54*T1^8*T2^7 - 
       T1^9*T2^7 - 24*T1^10*T2^7 + 14*T1^11*T2^7 - 5*T1^12*T2^7 + 
       4*T1^2*T2^8 - 7*T1^3*T2^8 + 8*T1^4*T2^8 + T1^5*T2^8 - 44*T1^6*T2^8 + 
       54*T1^7*T2^8 - 26*T1^8*T2^8 - 23*T1^9*T2^8 + 42*T1^10*T2^8 + 
       T1^11*T2^8 - 10*T1^12*T2^8 + 3*T1^3*T2^9 + 5*T1^4*T2^9 - 
       12*T1^5*T2^9 + 2*T1^6*T2^9 - T1^7*T2^9 - 23*T1^8*T2^9 + 28*T1^9*T2^9 - 
       32*T1^10*T2^9 - 9*T1^11*T2^9 + 15*T1^12*T2^9 - 8*T1^4*T2^10 + 
       14*T1^5*T2^10 + 2*T1^6*T2^10 - 24*T1^7*T2^10 + 42*T1^8*T2^10 - 
       32*T1^9*T2^10 + 8*T1^10*T2^10 + 16*T1^11*T2^10 - 10*T1^12*T2^10 - 
       3*T1^5*T2^11 - 4*T1^6*T2^11 + 14*T1^7*T2^11 + T1^8*T2^11 - 
       9*T1^9*T2^11 + 16*T1^10*T2^11 - 5*T1^12*T2^11 + 5*T1^6*T2^12 - 
       5*T1^7*T2^12 - 10*T1^8*T2^12 + 15*T1^9*T2^12 - 10*T1^10*T2^12 - 
       5*T1^11*T2^12 + 5*T1^12*T2^12))/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 606] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 61*T1 - 138*T1^2 + 177*T1^3 - 138*T1^4 + 61*T1^5 - 15*T1^6 + 
     61*T2 - 218*T1*T2 + 440*T1^2*T2 - 446*T1^3*T2 + 210*T1^4*T2 + 
     24*T1^5*T2 - 58*T1^6*T2 + 29*T1^7*T2 - 138*T2^2 + 440*T1*T2^2 - 
     704*T1^2*T2^2 + 306*T1^3*T2^2 + 458*T1^4*T2^2 - 774*T1^5*T2^2 + 
     448*T1^6*T2^2 - 136*T1^7*T2^2 + 6*T1^8*T2^2 + 177*T2^3 - 446*T1*T2^3 + 
     306*T1^2*T2^3 + 716*T1^3*T2^3 - 1506*T1^4*T2^3 + 810*T1^5*T2^3 + 
     422*T1^6*T2^3 - 738*T1^7*T2^3 + 370*T1^8*T2^3 - 99*T1^9*T2^3 - 
     138*T2^4 + 210*T1*T2^4 + 458*T1^2*T2^4 - 1506*T1^3*T2^4 + 
     1517*T1^4*T2^4 + 497*T1^5*T2^4 - 1699*T1^6*T2^4 + 1070*T1^7*T2^4 + 
     106*T1^8*T2^4 - 206*T1^9*T2^4 + 150*T1^10*T2^4 + 61*T2^5 + 24*T1*T2^5 - 
     774*T1^2*T2^5 + 810*T1^3*T2^5 + 497*T1^4*T2^5 - 3370*T1^5*T2^5 + 
     3172*T1^6*T2^5 - 907*T1^7*T2^5 - 986*T1^8*T2^5 + 414*T1^9*T2^5 - 
     200*T1^10*T2^5 - 99*T1^11*T2^5 - 15*T2^6 - 58*T1*T2^6 + 448*T1^2*T2^6 + 
     422*T1^3*T2^6 - 1699*T1^4*T2^6 + 3172*T1^5*T2^6 - 312*T1^6*T2^6 - 
     2644*T1^7*T2^6 + 3213*T1^8*T2^6 - 706*T1^9*T2^6 + 128*T1^10*T2^6 + 
     262*T1^11*T2^6 + 33*T1^12*T2^6 + 29*T1*T2^7 - 136*T1^2*T2^7 - 
     738*T1^3*T2^7 + 1070*T1^4*T2^7 - 907*T1^5*T2^7 - 2644*T1^6*T2^7 + 
     3898*T1^7*T2^7 - 2311*T1^8*T2^7 - 726*T1^9*T2^7 + 450*T1^10*T2^7 - 
     360*T1^11*T2^7 - 131*T1^12*T2^7 + 6*T1^2*T2^8 + 370*T1^3*T2^8 + 
     106*T1^4*T2^8 - 986*T1^5*T2^8 + 3213*T1^6*T2^8 - 2311*T1^7*T2^8 - 
     3*T1^8*T2^8 + 1590*T1^9*T2^8 - 246*T1^10*T2^8 - 46*T1^11*T2^8 + 
     294*T1^12*T2^8 - 99*T1^3*T2^9 - 206*T1^4*T2^9 + 414*T1^5*T2^9 - 
     706*T1^6*T2^9 - 726*T1^7*T2^9 + 1590*T1^8*T2^9 - 1000*T1^9*T2^9 - 
     630*T1^10*T2^9 + 610*T1^11*T2^9 - 375*T1^12*T2^9 + 150*T1^4*T2^10 - 
     200*T1^5*T2^10 + 128*T1^6*T2^10 + 450*T1^7*T2^10 - 246*T1^8*T2^10 - 
     630*T1^9*T2^10 + 1280*T1^10*T2^10 - 776*T1^11*T2^10 + 294*T1^12*T2^10 - 
     99*T1^5*T2^11 + 262*T1^6*T2^11 - 360*T1^7*T2^11 - 46*T1^8*T2^11 + 
     610*T1^9*T2^11 - 776*T1^10*T2^11 + 422*T1^11*T2^11 - 131*T1^12*T2^11 + 
     33*T1^6*T2^12 - 131*T1^7*T2^12 + 294*T1^8*T2^12 - 375*T1^9*T2^12 + 
     294*T1^10*T2^12 - 131*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 607] -> 
  {(2 - 7*T + 13*T^2 - 15*T^3 + 13*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-17 + 59*T1 - 110*T1^2 + 127*T1^3 - 110*T1^4 + 59*T1^5 - 17*T1^6 + 
     59*T2 - 176*T1*T2 + 277*T1^2*T2 - 243*T1^3*T2 + 149*T1^4*T2 - 
     3*T1^5*T2 - 50*T1^6*T2 + 31*T1^7*T2 - 110*T2^2 + 277*T1*T2^2 - 
     332*T1^2*T2^2 + 130*T1^3*T2^2 + 76*T1^4*T2^2 - 286*T1^5*T2^2 + 
     240*T1^6*T2^2 - 87*T1^7*T2^2 - 6*T1^8*T2^2 + 127*T2^3 - 243*T1*T2^3 + 
     130*T1^2*T2^3 + 219*T1^3*T2^3 - 363*T1^4*T2^3 + 385*T1^5*T2^3 - 
     71*T1^6*T2^3 - 221*T1^7*T2^3 + 205*T1^8*T2^3 - 53*T1^9*T2^3 - 110*T2^4 + 
     149*T1*T2^4 + 76*T1^2*T2^4 - 363*T1^3*T2^4 + 301*T1^4*T2^4 - 
     115*T1^5*T2^4 - 235*T1^6*T2^4 + 387*T1^7*T2^4 - 42*T1^8*T2^4 - 
     159*T1^9*T2^4 + 98*T1^10*T2^4 + 59*T2^5 - 3*T1*T2^5 - 286*T1^2*T2^5 + 
     385*T1^3*T2^5 - 115*T1^4*T2^5 - 232*T1^5*T2^5 + 398*T1^6*T2^5 - 
     284*T1^7*T2^5 - 359*T1^8*T2^5 + 325*T1^9*T2^5 - 59*T1^10*T2^5 - 
     81*T1^11*T2^5 - 17*T2^6 - 50*T1*T2^6 + 240*T1^2*T2^6 - 71*T1^3*T2^6 - 
     235*T1^4*T2^6 + 398*T1^5*T2^6 - 12*T1^6*T2^6 - 318*T1^7*T2^6 + 
     855*T1^8*T2^6 - 249*T1^9*T2^6 - 144*T1^10*T2^6 + 174*T1^11*T2^6 + 
     31*T1^12*T2^6 + 31*T1*T2^7 - 87*T1^2*T2^7 - 221*T1^3*T2^7 + 
     387*T1^4*T2^7 - 284*T1^5*T2^7 - 318*T1^6*T2^7 + 312*T1^7*T2^7 - 
     453*T1^8*T2^7 - 357*T1^9*T2^7 + 390*T1^10*T2^7 - 143*T1^11*T2^7 - 
     109*T1^12*T2^7 - 6*T1^2*T2^8 + 205*T1^3*T2^8 - 42*T1^4*T2^8 - 
     359*T1^5*T2^8 + 855*T1^6*T2^8 - 453*T1^7*T2^8 + 319*T1^8*T2^8 + 
     391*T1^9*T2^8 - 160*T1^10*T2^8 - 103*T1^11*T2^8 + 202*T1^12*T2^8 - 
     53*T1^3*T2^9 - 159*T1^4*T2^9 + 325*T1^5*T2^9 - 249*T1^6*T2^9 - 
     357*T1^7*T2^9 + 391*T1^8*T2^9 - 539*T1^9*T2^9 - 26*T1^10*T2^9 + 
     289*T1^11*T2^9 - 233*T1^12*T2^9 + 98*T1^4*T2^10 - 59*T1^5*T2^10 - 
     144*T1^6*T2^10 + 390*T1^7*T2^10 - 160*T1^8*T2^10 - 26*T1^9*T2^10 + 
     428*T1^10*T2^10 - 423*T1^11*T2^10 + 202*T1^12*T2^10 - 81*T1^5*T2^11 + 
     174*T1^6*T2^11 - 143*T1^7*T2^11 - 103*T1^8*T2^11 + 289*T1^9*T2^11 - 
     423*T1^10*T2^11 + 300*T1^11*T2^11 - 109*T1^12*T2^11 + 31*T1^6*T2^12 - 
     109*T1^7*T2^12 + 202*T1^8*T2^12 - 233*T1^9*T2^12 + 202*T1^10*T2^12 - 
     109*T1^11*T2^12 + 31*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 608] -> {(3 - 10*T + 15*T^2 - 10*T^3 + 3*T^4)/T^2, 
   (-51 + 168*T1 - 251*T1^2 + 168*T1^3 - 51*T1^4 + 168*T2 - 486*T1*T2 + 
     576*T1^2*T2 - 174*T1^3*T2 - 96*T1^4*T2 + 78*T1^5*T2 - 251*T2^2 + 
     576*T1*T2^2 - 246*T1^2*T2^2 - 670*T1^3*T2^2 + 834*T1^4*T2^2 - 
     324*T1^5*T2^2 + 19*T1^6*T2^2 + 168*T2^3 - 174*T1*T2^3 - 670*T1^2*T2^3 + 
     1514*T1^3*T2^3 - 1066*T1^4*T2^3 - 70*T1^5*T2^3 + 276*T1^6*T2^3 - 
     102*T1^7*T2^3 - 51*T2^4 - 96*T1*T2^4 + 834*T1^2*T2^4 - 1066*T1^3*T2^4 + 
     228*T1^4*T2^4 + 974*T1^5*T2^4 - 626*T1^6*T2^4 + 144*T1^7*T2^4 + 
     57*T1^8*T2^4 + 78*T1*T2^5 - 324*T1^2*T2^5 - 70*T1^3*T2^5 + 
     974*T1^4*T2^5 - 1606*T1^5*T2^5 + 530*T1^6*T2^5 + 126*T1^7*T2^5 - 
     192*T1^8*T2^5 + 19*T1^2*T2^6 + 276*T1^3*T2^6 - 626*T1^4*T2^6 + 
     530*T1^5*T2^6 + 454*T1^6*T2^6 - 624*T1^7*T2^6 + 289*T1^8*T2^6 - 
     102*T1^3*T2^7 + 144*T1^4*T2^7 + 126*T1^5*T2^7 - 624*T1^6*T2^7 + 
     534*T1^7*T2^7 - 192*T1^8*T2^7 + 57*T1^4*T2^8 - 192*T1^5*T2^8 + 
     289*T1^6*T2^8 - 192*T1^7*T2^8 + 57*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 609] -> 
  {(1 - 4*T + 7*T^2 - 6*T^3 + 5*T^4 - 6*T^5 + 7*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 42*T1^2 + 36*T1^3 - 30*T1^4 + 36*T1^5 - 42*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 88*T1^2*T2 - 4*T1^3*T2 - 44*T1^5*T2 + 
     48*T1^6*T2 + 44*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 42*T2^2 + 
     88*T1*T2^2 - 3*T1^2*T2^2 - 195*T1^3*T2^2 + 74*T1^4*T2^2 + 19*T1^5*T2^2 + 
     46*T1^6*T2^2 - 223*T1^7*T2^2 + 81*T1^8*T2^2 + 32*T1^9*T2^2 - 
     28*T1^10*T2^2 + 36*T2^3 - 4*T1*T2^3 - 195*T1^2*T2^3 + 334*T1^3*T2^3 + 
     50*T1^4*T2^3 - 61*T1^5*T2^3 - 135*T1^6*T2^3 + 252*T1^7*T2^3 + 
     152*T1^8*T2^3 - 181*T1^9*T2^3 + 40*T1^10*T2^3 + 18*T1^11*T2^3 - 
     30*T2^4 + 74*T1^2*T2^4 + 50*T1^3*T2^4 - 512*T1^4*T2^4 + 275*T1^5*T2^4 - 
     76*T1^6*T2^4 + 139*T1^7*T2^4 - 528*T1^8*T2^4 + 218*T1^9*T2^4 + 
     22*T1^10*T2^4 - 32*T1^11*T2^4 - 10*T1^12*T2^4 + 36*T2^5 - 44*T1*T2^5 + 
     19*T1^2*T2^5 - 61*T1^3*T2^5 + 275*T1^4*T2^5 + 24*T1^5*T2^5 - 
     47*T1^6*T2^5 - 59*T1^7*T2^5 + 240*T1^8*T2^5 + 83*T1^9*T2^5 - 
     91*T1^10*T2^5 + 7*T1^11*T2^5 + 16*T1^12*T2^5 + 6*T1^13*T2^5 - 42*T2^6 + 
     48*T1*T2^6 + 46*T1^2*T2^6 - 135*T1^3*T2^6 - 76*T1^4*T2^6 - 
     47*T1^5*T2^6 + 27*T1^6*T2^6 - 33*T1^7*T2^6 - 53*T1^8*T2^6 - 
     55*T1^9*T2^6 - 22*T1^10*T2^6 + 5*T1^11*T2^6 + 26*T1^12*T2^6 - 
     24*T1^13*T2^6 + 24*T2^7 + 44*T1*T2^7 - 223*T1^2*T2^7 + 252*T1^3*T2^7 + 
     139*T1^4*T2^7 - 59*T1^5*T2^7 - 33*T1^6*T2^7 + 88*T1^7*T2^7 - 
     4*T1^8*T2^7 + 7*T1^9*T2^7 - 39*T1^10*T2^7 + 107*T1^11*T2^7 - 
     86*T1^12*T2^7 + 15*T1^13*T2^7 + 16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 
     56*T1*T2^8 + 81*T1^2*T2^8 + 152*T1^3*T2^8 - 528*T1^4*T2^8 + 
     240*T1^5*T2^8 - 53*T1^6*T2^8 - 4*T1^7*T2^8 + 4*T1^9*T2^8 + 
     67*T1^10*T2^8 - 72*T1^11*T2^8 + 20*T1^12*T2^8 + 64*T1^13*T2^8 - 
     51*T1^14*T2^8 + 8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 
     32*T1^2*T2^9 - 181*T1^3*T2^9 + 218*T1^4*T2^9 + 83*T1^5*T2^9 - 
     55*T1^6*T2^9 + 7*T1^7*T2^9 + 4*T1^8*T2^9 - 88*T1^9*T2^9 + 
     47*T1^10*T2^9 - 35*T1^11*T2^9 + 51*T1^12*T2^9 - 120*T1^13*T2^9 + 
     57*T1^14*T2^9 + 4*T1^15*T2^9 - 8*T1^16*T2^9 - 28*T1^2*T2^10 + 
     40*T1^3*T2^10 + 22*T1^4*T2^10 - 91*T1^5*T2^10 - 22*T1^6*T2^10 - 
     39*T1^7*T2^10 + 67*T1^8*T2^10 + 47*T1^9*T2^10 - 13*T1^10*T2^10 - 
     47*T1^11*T2^10 + 32*T1^12*T2^10 + 49*T1^13*T2^10 + 2*T1^14*T2^10 - 
     32*T1^15*T2^10 + 14*T1^16*T2^10 + 18*T1^3*T2^11 - 32*T1^4*T2^11 + 
     7*T1^5*T2^11 + 5*T1^6*T2^11 + 107*T1^7*T2^11 - 72*T1^8*T2^11 - 
     35*T1^9*T2^11 - 47*T1^10*T2^11 + 144*T1^11*T2^11 - 85*T1^12*T2^11 - 
     25*T1^13*T2^11 - 5*T1^14*T2^11 + 28*T1^15*T2^11 - 12*T1^16*T2^11 - 
     10*T1^4*T2^12 + 16*T1^5*T2^12 + 26*T1^6*T2^12 - 86*T1^7*T2^12 + 
     20*T1^8*T2^12 + 51*T1^9*T2^12 + 32*T1^10*T2^12 - 85*T1^11*T2^12 + 
     4*T1^12*T2^12 + 82*T1^13*T2^12 - 26*T1^14*T2^12 - 16*T1^15*T2^12 + 
     10*T1^16*T2^12 + 6*T1^5*T2^13 - 24*T1^6*T2^13 + 15*T1^7*T2^13 + 
     64*T1^8*T2^13 - 120*T1^9*T2^13 + 49*T1^10*T2^13 - 25*T1^11*T2^13 + 
     82*T1^12*T2^13 - 118*T1^13*T2^13 + 29*T1^14*T2^13 + 20*T1^15*T2^13 - 
     12*T1^16*T2^13 + 16*T1^7*T2^14 - 51*T1^8*T2^14 + 57*T1^9*T2^14 + 
     2*T1^10*T2^14 - 5*T1^11*T2^14 - 26*T1^12*T2^14 + 29*T1^13*T2^14 + 
     33*T1^14*T2^14 - 40*T1^15*T2^14 + 14*T1^16*T2^14 - 4*T1^7*T2^15 + 
     8*T1^8*T2^15 + 4*T1^9*T2^15 - 32*T1^10*T2^15 + 28*T1^11*T2^15 - 
     16*T1^12*T2^15 + 20*T1^13*T2^15 - 40*T1^14*T2^15 + 28*T1^15*T2^15 - 
     8*T1^16*T2^15 + 2*T1^8*T2^16 - 8*T1^9*T2^16 + 14*T1^10*T2^16 - 
     12*T1^11*T2^16 + 10*T1^12*T2^16 - 12*T1^13*T2^16 + 14*T1^14*T2^16 - 
     8*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 610] -> 
  {(1 - 4*T + 8*T^2 - 12*T^3 + 15*T^4 - 12*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 32*T1^2 + 48*T1^3 - 60*T1^4 + 48*T1^5 - 32*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 80*T1^2*T2 - 96*T1^3*T2 + 96*T1^4*T2 - 
     12*T1^5*T2 - 16*T1^6*T2 + 32*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     32*T2^2 + 80*T1*T2^2 - 80*T1^2*T2^2 + 63*T1^3*T2^2 - 31*T1^4*T2^2 - 
     144*T1^5*T2^2 + 81*T1^6*T2^2 - 65*T1^7*T2^2 + 32*T1^8*T2^2 + 
     16*T1^9*T2^2 - 16*T1^10*T2^2 + 48*T2^3 - 96*T1*T2^3 + 63*T1^2*T2^3 - 
     46*T1^3*T2^3 + 30*T1^4*T2^3 + 188*T1^5*T2^3 + 44*T1^6*T2^3 - 
     14*T1^7*T2^3 + 38*T1^8*T2^3 - 65*T1^9*T2^3 + 16*T1^10*T2^3 + 
     12*T1^11*T2^3 - 60*T2^4 + 96*T1*T2^4 - 31*T1^2*T2^4 + 30*T1^3*T2^4 - 
     29*T1^4*T2^4 - 254*T1^5*T2^4 - 105*T1^6*T2^4 - 62*T1^7*T2^4 + 
     43*T1^8*T2^4 - 18*T1^9*T2^4 + 65*T1^10*T2^4 - 48*T1^11*T2^4 + 48*T2^5 - 
     12*T1*T2^5 - 144*T1^2*T2^5 + 188*T1^3*T2^5 - 254*T1^4*T2^5 + 
     572*T1^5*T2^5 - 30*T1^6*T2^5 + 258*T1^7*T2^5 - 148*T1^8*T2^5 + 
     34*T1^9*T2^5 - 52*T1^10*T2^5 + 48*T1^12*T2^5 - 12*T1^13*T2^5 - 32*T2^6 - 
     16*T1*T2^6 + 81*T1^2*T2^6 + 44*T1^3*T2^6 - 105*T1^4*T2^6 - 
     30*T1^5*T2^6 - 568*T1^6*T2^6 + 84*T1^7*T2^6 - 88*T1^8*T2^6 + 
     162*T1^9*T2^6 - 9*T1^10*T2^6 + 44*T1^11*T2^6 - 63*T1^12*T2^6 - 
     16*T1^13*T2^6 + 16*T1^14*T2^6 + 16*T2^7 + 32*T1*T2^7 - 65*T1^2*T2^7 - 
     14*T1^3*T2^7 - 62*T1^4*T2^7 + 258*T1^5*T2^7 + 84*T1^6*T2^7 + 
     512*T1^7*T2^7 - 368*T1^8*T2^7 + 68*T1^9*T2^7 - 222*T1^10*T2^7 + 
     34*T1^11*T2^7 + 14*T1^12*T2^7 + 63*T1^13*T2^7 - 16*T1^14*T2^7 - 
     12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 + 32*T1^2*T2^8 + 38*T1^3*T2^8 + 
     43*T1^4*T2^8 - 148*T1^5*T2^8 - 88*T1^6*T2^8 - 368*T1^7*T2^8 + 
     144*T1^8*T2^8 + 240*T1^9*T2^8 + 104*T1^10*T2^8 + 140*T1^11*T2^8 - 
     93*T1^12*T2^8 - 26*T1^13*T2^8 - 32*T1^14*T2^8 + 32*T1^15*T2^8 + 
     4*T1^16*T2^8 + 12*T1*T2^9 + 16*T1^2*T2^9 - 65*T1^3*T2^9 - 18*T1^4*T2^9 + 
     34*T1^5*T2^9 + 162*T1^6*T2^9 + 68*T1^7*T2^9 + 240*T1^8*T2^9 - 
     640*T1^9*T2^9 + 52*T1^10*T2^9 - 318*T1^11*T2^9 + 130*T1^12*T2^9 + 
     10*T1^13*T2^9 + 63*T1^14*T2^9 - 32*T1^15*T2^9 - 16*T1^16*T2^9 - 
     16*T1^2*T2^10 + 16*T1^3*T2^10 + 65*T1^4*T2^10 - 52*T1^5*T2^10 - 
     9*T1^6*T2^10 - 222*T1^7*T2^10 + 104*T1^8*T2^10 + 52*T1^9*T2^10 + 
     584*T1^10*T2^10 - 30*T1^11*T2^10 + 87*T1^12*T2^10 - 52*T1^13*T2^10 - 
     79*T1^14*T2^10 + 16*T1^15*T2^10 + 32*T1^16*T2^10 + 12*T1^3*T2^11 - 
     48*T1^4*T2^11 + 44*T1^6*T2^11 + 34*T1^7*T2^11 + 140*T1^8*T2^11 - 
     318*T1^9*T2^11 - 30*T1^10*T2^11 - 580*T1^11*T2^11 + 322*T1^12*T2^11 - 
     196*T1^13*T2^11 + 144*T1^14*T2^11 + 12*T1^15*T2^11 - 48*T1^16*T2^11 + 
     48*T1^5*T2^12 - 63*T1^6*T2^12 + 14*T1^7*T2^12 - 93*T1^8*T2^12 + 
     130*T1^9*T2^12 + 87*T1^10*T2^12 + 322*T1^11*T2^12 - 21*T1^12*T2^12 - 
     34*T1^13*T2^12 + 33*T1^14*T2^12 - 96*T1^15*T2^12 + 60*T1^16*T2^12 - 
     12*T1^5*T2^13 - 16*T1^6*T2^13 + 63*T1^7*T2^13 - 26*T1^8*T2^13 + 
     10*T1^9*T2^13 - 52*T1^10*T2^13 - 196*T1^11*T2^13 - 34*T1^12*T2^13 + 
     58*T1^13*T2^13 - 65*T1^14*T2^13 + 96*T1^15*T2^13 - 48*T1^16*T2^13 + 
     16*T1^6*T2^14 - 16*T1^7*T2^14 - 32*T1^8*T2^14 + 63*T1^9*T2^14 - 
     79*T1^10*T2^14 + 144*T1^11*T2^14 + 33*T1^12*T2^14 - 65*T1^13*T2^14 + 
     80*T1^14*T2^14 - 80*T1^15*T2^14 + 32*T1^16*T2^14 - 12*T1^7*T2^15 + 
     32*T1^8*T2^15 - 32*T1^9*T2^15 + 16*T1^10*T2^15 + 12*T1^11*T2^15 - 
     96*T1^12*T2^15 + 96*T1^13*T2^15 - 80*T1^14*T2^15 + 52*T1^15*T2^15 - 
     16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 32*T1^10*T2^16 - 
     48*T1^11*T2^16 + 60*T1^12*T2^16 - 48*T1^13*T2^16 + 32*T1^14*T2^16 - 
     16*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 611] -> 
  {(2 - 9*T + 17*T^2 - 19*T^3 + 17*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 140*T1 - 264*T1^2 + 295*T1^3 - 264*T1^4 + 140*T1^5 - 31*T1^6 + 
     140*T2 - 528*T1*T2 + 722*T1^2*T2 - 446*T1^3*T2 + 202*T1^4*T2 + 
     254*T1^5*T2 - 330*T1^6*T2 + 104*T1^7*T2 - 264*T2^2 + 722*T1*T2^2 - 
     253*T1^2*T2^2 - 927*T1^3*T2^2 + 1171*T1^4*T2^2 - 1607*T1^5*T2^2 + 
     767*T1^6*T2^2 + 110*T1^7*T2^2 - 128*T1^8*T2^2 + 295*T2^3 - 446*T1*T2^3 - 
     927*T1^2*T2^3 + 2287*T1^3*T2^3 - 1401*T1^4*T2^3 + 1143*T1^5*T2^3 + 
     703*T1^6*T2^3 - 1182*T1^7*T2^3 + 274*T1^8*T2^3 + 67*T1^9*T2^3 - 
     264*T2^4 + 202*T1*T2^4 + 1171*T1^2*T2^4 - 1401*T1^3*T2^4 - 
     957*T1^4*T2^4 + 1353*T1^5*T2^4 - 2337*T1^6*T2^4 + 1145*T1^7*T2^4 + 
     405*T1^8*T2^4 - 338*T1^9*T2^4 + 8*T1^10*T2^4 + 140*T2^5 + 254*T1*T2^5 - 
     1607*T1^2*T2^5 + 1143*T1^3*T2^5 + 1353*T1^4*T2^5 - 656*T1^5*T2^5 + 
     28*T1^6*T2^5 + 1064*T1^7*T2^5 - 1397*T1^8*T2^5 + 348*T1^9*T2^5 + 
     146*T1^10*T2^5 - 40*T1^11*T2^5 - 31*T2^6 - 330*T1*T2^6 + 767*T1^2*T2^6 + 
     703*T1^3*T2^6 - 2337*T1^4*T2^6 + 28*T1^5*T2^6 + 1392*T1^6*T2^6 - 
     1108*T1^7*T2^6 + 585*T1^8*T2^6 + 553*T1^9*T2^6 - 585*T1^10*T2^6 + 
     102*T1^11*T2^6 + 17*T1^12*T2^6 + 104*T1*T2^7 + 110*T1^2*T2^7 - 
     1182*T1^3*T2^7 + 1145*T1^4*T2^7 + 1064*T1^5*T2^7 - 1108*T1^6*T2^7 - 
     424*T1^7*T2^7 + 775*T1^8*T2^7 - 1395*T1^9*T2^7 + 773*T1^10*T2^7 + 
     2*T1^11*T2^7 - 76*T1^12*T2^7 - 128*T1^2*T2^8 + 274*T1^3*T2^8 + 
     405*T1^4*T2^8 - 1397*T1^5*T2^8 + 585*T1^6*T2^8 + 775*T1^7*T2^8 - 
     795*T1^8*T2^8 + 1149*T1^9*T2^8 - 361*T1^10*T2^8 - 266*T1^11*T2^8 + 
     144*T1^12*T2^8 + 67*T1^3*T2^9 - 338*T1^4*T2^9 + 348*T1^5*T2^9 + 
     553*T1^6*T2^9 - 1395*T1^7*T2^9 + 1149*T1^8*T2^9 - 1031*T1^9*T2^9 + 
     93*T1^10*T2^9 + 382*T1^11*T2^9 - 161*T1^12*T2^9 + 8*T1^4*T2^10 + 
     146*T1^5*T2^10 - 585*T1^6*T2^10 + 773*T1^7*T2^10 - 361*T1^8*T2^10 + 
     93*T1^9*T2^10 + 435*T1^10*T2^10 - 466*T1^11*T2^10 + 144*T1^12*T2^10 - 
     40*T1^5*T2^11 + 102*T1^6*T2^11 + 2*T1^7*T2^11 - 266*T1^8*T2^11 + 
     382*T1^9*T2^11 - 466*T1^10*T2^11 + 300*T1^11*T2^11 - 76*T1^12*T2^11 + 
     17*T1^6*T2^12 - 76*T1^7*T2^12 + 144*T1^8*T2^12 - 161*T1^9*T2^12 + 
     144*T1^10*T2^12 - 76*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 612] -> 
  {(1 - 9*T + 23*T^2 - 29*T^3 + 23*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 92*T1^2 + 116*T1^3 - 92*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 584*T1^2*T2 - 418*T1^3*T2 + 50*T1^4*T2 + 296*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 92*T2^2 + 584*T1*T2^2 + 110*T1^2*T2^2 - 
     2700*T1^3*T2^2 + 4052*T1^4*T2^2 - 3620*T1^5*T2^2 + 1122*T1^6*T2^2 + 
     170*T1^7*T2^2 - 46*T1^8*T2^2 + 116*T2^3 - 418*T1*T2^3 - 2700*T1^2*T2^3 + 
     7494*T1^3*T2^3 - 6089*T1^4*T2^3 + 1891*T1^5*T2^3 + 3480*T1^6*T2^3 - 
     2631*T1^7*T2^3 + 158*T1^8*T2^3 + 29*T1^9*T2^3 - 92*T2^4 + 50*T1*T2^4 + 
     4052*T1^2*T2^4 - 6089*T1^3*T2^4 - 1943*T1^4*T2^4 + 7931*T1^5*T2^4 - 
     10359*T1^6*T2^4 + 2727*T1^7*T2^4 + 1470*T1^8*T2^4 - 256*T1^9*T2^4 + 
     36*T2^5 + 296*T1*T2^5 - 3620*T1^2*T2^5 + 1891*T1^3*T2^5 + 
     7931*T1^4*T2^5 - 9405*T1^5*T2^5 + 5857*T1^6*T2^5 + 4182*T1^7*T2^5 - 
     4417*T1^8*T2^5 + 267*T1^9*T2^5 + 80*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 1122*T1^2*T2^6 + 3480*T1^3*T2^6 - 10359*T1^4*T2^6 + 
     5857*T1^5*T2^6 + 1440*T1^6*T2^6 - 8229*T1^7*T2^6 + 3659*T1^8*T2^6 + 
     1236*T1^9*T2^6 - 598*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 170*T1^2*T2^7 - 2631*T1^3*T2^7 + 2727*T1^4*T2^7 + 
     4182*T1^5*T2^7 - 8229*T1^6*T2^7 + 7033*T1^7*T2^7 + 433*T1^8*T2^7 - 
     3581*T1^9*T2^7 + 1256*T1^10*T2^7 - 46*T1^11*T2^7 - 18*T1^12*T2^7 - 
     46*T1^2*T2^8 + 158*T1^3*T2^8 + 1470*T1^4*T2^8 - 4417*T1^5*T2^8 + 
     3659*T1^6*T2^8 + 433*T1^7*T2^8 - 4757*T1^8*T2^8 + 4399*T1^9*T2^8 - 
     1112*T1^10*T2^8 - 148*T1^11*T2^8 + 46*T1^12*T2^8 + 29*T1^3*T2^9 - 
     256*T1^4*T2^9 + 267*T1^5*T2^9 + 1236*T1^6*T2^9 - 3581*T1^7*T2^9 + 
     4399*T1^8*T2^9 - 2778*T1^9*T2^9 + 336*T1^10*T2^9 + 320*T1^11*T2^9 - 
     58*T1^12*T2^9 + 80*T1^5*T2^10 - 598*T1^6*T2^10 + 1256*T1^7*T2^10 - 
     1112*T1^8*T2^10 + 336*T1^9*T2^10 + 414*T1^10*T2^10 - 334*T1^11*T2^10 + 
     46*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 46*T1^7*T2^11 - 
     148*T1^8*T2^11 + 320*T1^9*T2^11 - 334*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 46*T1^8*T2^12 - 
     58*T1^9*T2^12 + 46*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 613] -> 
  {((1 - T + T^2)*(1 - 5*T + 9*T^2 - 9*T^3 + 9*T^4 - 5*T^5 + T^6))/T^4, 
   (-4 + 24*T1 - 60*T1^2 + 92*T1^3 - 108*T1^4 + 92*T1^5 - 60*T1^6 + 24*T1^7 - 
     4*T1^8 + 24*T2 - 126*T1*T2 + 252*T1^2*T2 - 282*T1^3*T2 + 234*T1^4*T2 - 
     66*T1^5*T2 - 54*T1^6*T2 + 126*T1^7*T2 - 84*T1^8*T2 + 18*T1^9*T2 - 
     60*T2^2 + 252*T1*T2^2 - 282*T1^2*T2^2 - 62*T1^3*T2^2 + 419*T1^4*T2^2 - 
     850*T1^5*T2^2 + 779*T1^6*T2^2 - 572*T1^7*T2^2 + 138*T1^8*T2^2 + 
     72*T1^9*T2^2 - 30*T1^10*T2^2 + 92*T2^3 - 282*T1*T2^3 - 62*T1^2*T2^3 + 
     885*T1^3*T2^3 - 1164*T1^4*T2^3 + 1369*T1^5*T2^3 - 509*T1^6*T2^3 - 
     21*T1^7*T2^3 + 651*T1^8*T2^3 - 467*T1^9*T2^3 + 42*T1^10*T2^3 + 
     23*T1^11*T2^3 - 108*T2^4 + 234*T1*T2^4 + 419*T1^2*T2^4 - 
     1164*T1^3*T2^4 + 662*T1^4*T2^4 - 487*T1^5*T2^4 - 904*T1^6*T2^4 + 
     989*T1^7*T2^4 - 1222*T1^8*T2^4 + 216*T1^9*T2^4 + 383*T1^10*T2^4 - 
     138*T1^11*T2^4 + 92*T2^5 - 66*T1*T2^5 - 850*T1^2*T2^5 + 1369*T1^3*T2^5 - 
     487*T1^4*T2^5 + 688*T1^5*T2^5 + 789*T1^6*T2^5 - 408*T1^7*T2^5 + 
     520*T1^8*T2^5 + 827*T1^9*T2^5 - 861*T1^10*T2^5 - 4*T1^11*T2^5 + 
     138*T1^12*T2^5 - 23*T1^13*T2^5 - 60*T2^6 - 54*T1*T2^6 + 779*T1^2*T2^6 - 
     509*T1^3*T2^6 - 904*T1^4*T2^6 + 789*T1^5*T2^6 - 2670*T1^6*T2^6 + 
     1718*T1^7*T2^6 - 1074*T1^8*T2^6 - 699*T1^9*T2^6 + 170*T1^10*T2^6 + 
     841*T1^11*T2^6 - 373*T1^12*T2^6 - 42*T1^13*T2^6 + 30*T1^14*T2^6 + 
     24*T2^7 + 126*T1*T2^7 - 572*T1^2*T2^7 - 21*T1^3*T2^7 + 989*T1^4*T2^7 - 
     408*T1^5*T2^7 + 1718*T1^6*T2^7 + 46*T1^7*T2^7 - 830*T1^8*T2^7 + 
     1331*T1^9*T2^7 + 207*T1^10*T2^7 - 973*T1^11*T2^7 - 216*T1^12*T2^7 + 
     463*T1^13*T2^7 - 72*T1^14*T2^7 - 18*T1^15*T2^7 - 4*T2^8 - 84*T1*T2^8 + 
     138*T1^2*T2^8 + 651*T1^3*T2^8 - 1222*T1^4*T2^8 + 520*T1^5*T2^8 - 
     1074*T1^6*T2^8 - 830*T1^7*T2^8 + 1224*T1^8*T2^8 - 458*T1^9*T2^8 - 
     508*T1^10*T2^8 + 280*T1^11*T2^8 + 1178*T1^12*T2^8 - 635*T1^13*T2^8 - 
     138*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 18*T1*T2^9 + 
     72*T1^2*T2^9 - 467*T1^3*T2^9 + 216*T1^4*T2^9 + 827*T1^5*T2^9 - 
     699*T1^6*T2^9 + 1331*T1^7*T2^9 - 458*T1^8*T2^9 - 1334*T1^9*T2^9 + 
     944*T1^10*T2^9 - 84*T1^11*T2^9 - 1135*T1^12*T2^9 + 21*T1^13*T2^9 + 
     568*T1^14*T2^9 - 126*T1^15*T2^9 - 24*T1^16*T2^9 - 30*T1^2*T2^10 + 
     42*T1^3*T2^10 + 383*T1^4*T2^10 - 861*T1^5*T2^10 + 170*T1^6*T2^10 + 
     207*T1^7*T2^10 - 508*T1^8*T2^10 + 944*T1^9*T2^10 + 1088*T1^10*T2^10 - 
     1281*T1^11*T2^10 + 1244*T1^12*T2^10 + 489*T1^13*T2^10 - 
     769*T1^14*T2^10 + 54*T1^15*T2^10 + 60*T1^16*T2^10 + 23*T1^3*T2^11 - 
     138*T1^4*T2^11 - 4*T1^5*T2^11 + 841*T1^6*T2^11 - 973*T1^7*T2^11 + 
     280*T1^8*T2^11 - 84*T1^9*T2^11 - 1281*T1^10*T2^11 + 112*T1^11*T2^11 + 
     341*T1^12*T2^11 - 1389*T1^13*T2^11 + 842*T1^14*T2^11 + 66*T1^15*T2^11 - 
     92*T1^16*T2^11 + 138*T1^5*T2^12 - 373*T1^6*T2^12 - 216*T1^7*T2^12 + 
     1178*T1^8*T2^12 - 1135*T1^9*T2^12 + 1244*T1^10*T2^12 + 341*T1^11*T2^12 - 
     706*T1^12*T2^12 + 1164*T1^13*T2^12 - 409*T1^14*T2^12 - 234*T1^15*T2^12 + 
     108*T1^16*T2^12 - 23*T1^5*T2^13 - 42*T1^6*T2^13 + 463*T1^7*T2^13 - 
     635*T1^8*T2^13 + 21*T1^9*T2^13 + 489*T1^10*T2^13 - 1389*T1^11*T2^13 + 
     1164*T1^12*T2^13 - 869*T1^13*T2^13 + 58*T1^14*T2^13 + 282*T1^15*T2^13 - 
     92*T1^16*T2^13 + 30*T1^6*T2^14 - 72*T1^7*T2^14 - 138*T1^8*T2^14 + 
     568*T1^9*T2^14 - 769*T1^10*T2^14 + 842*T1^11*T2^14 - 409*T1^12*T2^14 + 
     58*T1^13*T2^14 + 282*T1^14*T2^14 - 252*T1^15*T2^14 + 60*T1^16*T2^14 - 
     18*T1^7*T2^15 + 84*T1^8*T2^15 - 126*T1^9*T2^15 + 54*T1^10*T2^15 + 
     66*T1^11*T2^15 - 234*T1^12*T2^15 + 282*T1^13*T2^15 - 252*T1^14*T2^15 + 
     126*T1^15*T2^15 - 24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 
     60*T1^10*T2^16 - 92*T1^11*T2^16 + 108*T1^12*T2^16 - 92*T1^13*T2^16 + 
     60*T1^14*T2^16 - 24*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 614] -> 
  {-((1 - 6*T + 17*T^2 - 25*T^3 + 17*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 51*T1^2 + 75*T1^3 - 51*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 235*T1^2*T2 - 248*T1^3*T2 + 4*T1^4*T2 + 97*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 51*T2^2 + 235*T1*T2^2 - 468*T1^2*T2^2 + 
      182*T1^3*T2^2 + 644*T1^4*T2^2 - 464*T1^5*T2^2 + 76*T1^6*T2^2 + 
      31*T1^7*T2^2 - 17*T1^8*T2^2 + 75*T2^3 - 248*T1*T2^3 + 182*T1^2*T2^3 + 
      987*T1^3*T2^3 - 2201*T1^4*T2^3 + 358*T1^5*T2^3 + 591*T1^6*T2^3 - 
      379*T1^7*T2^3 + 100*T1^8*T2^3 - 51*T2^4 + 4*T1*T2^4 + 644*T1^2*T2^4 - 
      2201*T1^3*T2^4 + 1776*T1^4*T2^4 + 2938*T1^5*T2^4 - 2836*T1^6*T2^4 + 
      899*T1^7*T2^4 - 104*T1^9*T2^4 + 17*T1^10*T2^4 + 18*T2^5 + 97*T1*T2^5 - 
      464*T1^2*T2^5 + 358*T1^3*T2^5 + 2938*T1^4*T2^5 - 7627*T1^5*T2^5 + 
      3395*T1^6*T2^5 + 609*T1^7*T2^5 - 1119*T1^8*T2^5 + 437*T1^9*T2^5 - 
      29*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 76*T1^2*T2^6 + 
      591*T1^3*T2^6 - 2836*T1^4*T2^6 + 3395*T1^5*T2^6 + 2928*T1^6*T2^6 - 
      5319*T1^7*T2^6 + 2914*T1^8*T2^6 - 579*T1^9*T2^6 - 108*T1^10*T2^6 + 
      54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 31*T1^2*T2^7 - 
      379*T1^3*T2^7 + 899*T1^4*T2^7 + 609*T1^5*T2^7 - 5319*T1^6*T2^7 + 
      5703*T1^7*T2^7 - 1720*T1^8*T2^7 - 578*T1^9*T2^7 + 522*T1^10*T2^7 - 
      95*T1^11*T2^7 - 18*T1^12*T2^7 - 17*T1^2*T2^8 + 100*T1^3*T2^8 - 
      1119*T1^5*T2^8 + 2914*T1^6*T2^8 - 1720*T1^7*T2^8 - 1698*T1^8*T2^8 + 
      1981*T1^9*T2^8 - 644*T1^10*T2^8 - 8*T1^11*T2^8 + 51*T1^12*T2^8 - 
      104*T1^4*T2^9 + 437*T1^5*T2^9 - 579*T1^6*T2^9 - 578*T1^7*T2^9 + 
      1981*T1^8*T2^9 - 975*T1^9*T2^9 - 124*T1^10*T2^9 + 244*T1^11*T2^9 - 
      75*T1^12*T2^9 + 17*T1^4*T2^10 - 29*T1^5*T2^10 - 108*T1^6*T2^10 + 
      522*T1^7*T2^10 - 644*T1^8*T2^10 - 124*T1^9*T2^10 + 436*T1^10*T2^10 - 
      233*T1^11*T2^10 + 51*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 
      95*T1^7*T2^11 - 8*T1^8*T2^11 + 244*T1^9*T2^11 - 233*T1^10*T2^11 + 
      96*T1^11*T2^11 - 18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 
      51*T1^8*T2^12 - 75*T1^9*T2^12 + 51*T1^10*T2^12 - 18*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 615] -> 
  {-((1 - 6*T + 15*T^2 - 19*T^3 + 17*T^4 - 19*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 75*T1^2 + 95*T1^3 - 85*T1^4 + 95*T1^5 - 75*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 210*T1^3*T2 + 
      54*T1^4*T2 - 162*T1^5*T2 - 6*T1^6*T2 + 180*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 306*T1^2*T2^2 - 465*T1^3*T2^2 + 
      790*T1^4*T2^2 - 178*T1^5*T2^2 + 850*T1^6*T2^2 - 855*T1^7*T2^2 + 
      114*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 95*T2^3 - 210*T1*T2^3 - 
      465*T1^2*T2^3 + 2009*T1^3*T2^3 - 1409*T1^4*T2^3 - 225*T1^5*T2^3 - 
      1527*T1^6*T2^3 + 340*T1^7*T2^3 + 1259*T1^8*T2^3 - 690*T1^9*T2^3 + 
      42*T1^10*T2^3 + 38*T1^11*T2^3 - 85*T2^4 + 54*T1*T2^4 + 790*T1^2*T2^4 - 
      1409*T1^3*T2^4 - 1489*T1^4*T2^4 + 3246*T1^5*T2^4 + 11*T1^6*T2^4 + 
      2818*T1^7*T2^4 - 3365*T1^8*T2^4 + 491*T1^9*T2^4 + 442*T1^10*T2^4 - 
      126*T1^11*T2^4 - 17*T1^12*T2^4 + 95*T2^5 - 162*T1*T2^5 - 
      178*T1^2*T2^5 - 225*T1^3*T2^5 + 3246*T1^4*T2^5 - 3082*T1^5*T2^5 - 
      911*T1^6*T2^5 - 2762*T1^7*T2^5 + 1470*T1^8*T2^5 + 1766*T1^9*T2^5 - 
      1015*T1^10*T2^5 - 52*T1^11*T2^5 + 102*T1^12*T2^5 - 75*T2^6 - 
      6*T1*T2^6 + 850*T1^2*T2^6 - 1527*T1^3*T2^6 + 11*T1^4*T2^6 - 
      911*T1^5*T2^6 + 4229*T1^6*T2^6 - 125*T1^7*T2^6 + 581*T1^8*T2^6 - 
      1955*T1^9*T2^6 + 17*T1^10*T2^6 + 543*T1^11*T2^6 - 26*T1^12*T2^6 - 
      90*T1^13*T2^6 + 15*T1^14*T2^6 + 30*T2^7 + 180*T1*T2^7 - 855*T1^2*T2^7 + 
      340*T1^3*T2^7 + 2818*T1^4*T2^7 - 2762*T1^5*T2^7 - 125*T1^6*T2^7 - 
      4360*T1^7*T2^7 + 3926*T1^8*T2^7 - 438*T1^9*T2^7 + 703*T1^10*T2^7 + 
      90*T1^11*T2^7 - 805*T1^12*T2^7 + 360*T1^13*T2^7 - 18*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 114*T1^2*T2^8 + 1259*T1^3*T2^8 - 
      3365*T1^4*T2^8 + 1470*T1^5*T2^8 + 581*T1^6*T2^8 + 3926*T1^7*T2^8 - 
      1380*T1^8*T2^8 - 3354*T1^9*T2^8 + 1611*T1^10*T2^8 - 2002*T1^11*T2^8 + 
      1835*T1^12*T2^8 - 331*T1^13*T2^8 - 162*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 126*T1^2*T2^9 - 690*T1^3*T2^9 + 
      491*T1^4*T2^9 + 1766*T1^5*T2^9 - 1955*T1^6*T2^9 - 438*T1^7*T2^9 - 
      3354*T1^8*T2^9 + 4932*T1^9*T2^9 - 751*T1^10*T2^9 + 1510*T1^11*T2^9 - 
      962*T1^12*T2^9 - 654*T1^13*T2^9 + 525*T1^14*T2^9 - 72*T1^15*T2^9 - 
      18*T1^16*T2^9 - 45*T1^2*T2^10 + 42*T1^3*T2^10 + 442*T1^4*T2^10 - 
      1015*T1^5*T2^10 + 17*T1^6*T2^10 + 703*T1^7*T2^10 + 1611*T1^8*T2^10 - 
      751*T1^9*T2^10 - 2037*T1^10*T2^10 - 341*T1^11*T2^10 + 23*T1^12*T2^10 + 
      1055*T1^13*T2^10 - 434*T1^14*T2^10 - 42*T1^15*T2^10 + 45*T1^16*T2^10 + 
      38*T1^3*T2^11 - 126*T1^4*T2^11 - 52*T1^5*T2^11 + 543*T1^6*T2^11 + 
      90*T1^7*T2^11 - 2002*T1^8*T2^11 + 1510*T1^9*T2^11 - 341*T1^10*T2^11 + 
      2550*T1^11*T2^11 - 1390*T1^12*T2^11 - 247*T1^13*T2^11 + 
      74*T1^14*T2^11 + 138*T1^15*T2^11 - 57*T1^16*T2^11 - 17*T1^4*T2^12 + 
      102*T1^5*T2^12 - 26*T1^6*T2^12 - 805*T1^7*T2^12 + 1835*T1^8*T2^12 - 
      962*T1^9*T2^12 + 23*T1^10*T2^12 - 1390*T1^11*T2^12 - 41*T1^12*T2^12 + 
      1095*T1^13*T2^12 - 374*T1^14*T2^12 - 78*T1^15*T2^12 + 51*T1^16*T2^12 - 
      90*T1^6*T2^13 + 360*T1^7*T2^13 - 331*T1^8*T2^13 - 654*T1^9*T2^13 + 
      1055*T1^10*T2^13 - 247*T1^11*T2^13 + 1095*T1^12*T2^13 - 
      1081*T1^13*T2^13 + 135*T1^14*T2^13 + 162*T1^15*T2^13 - 57*T1^16*T2^13 + 
      15*T1^6*T2^14 - 18*T1^7*T2^14 - 162*T1^8*T2^14 + 525*T1^9*T2^14 - 
      434*T1^10*T2^14 + 74*T1^11*T2^14 - 374*T1^12*T2^14 + 135*T1^13*T2^14 + 
      258*T1^14*T2^14 - 198*T1^15*T2^14 + 45*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 72*T1^9*T2^15 - 42*T1^10*T2^15 + 138*T1^11*T2^15 - 
      78*T1^12*T2^15 + 162*T1^13*T2^15 - 198*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 45*T1^10*T2^16 - 
      57*T1^11*T2^16 + 51*T1^12*T2^16 - 57*T1^13*T2^16 + 45*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 616] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3), 
   -((-3 + 18*T1 - 45*T1^2 + 63*T1^3 - 45*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 198*T1^2*T2 - 197*T1^3*T2 + 19*T1^4*T2 + 72*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 45*T2^2 + 198*T1*T2^2 - 254*T1^2*T2^2 - 
      67*T1^3*T2^2 + 626*T1^4*T2^2 - 517*T1^5*T2^2 + 166*T1^6*T2^2 + 
      18*T1^7*T2^2 - 15*T1^8*T2^2 + 63*T2^3 - 197*T1*T2^3 - 67*T1^2*T2^3 + 
      911*T1^3*T2^3 - 1480*T1^4*T2^3 + 437*T1^5*T2^3 + 407*T1^6*T2^3 - 
      382*T1^7*T2^3 + 91*T1^8*T2^3 - 45*T2^4 + 19*T1*T2^4 + 626*T1^2*T2^4 - 
      1480*T1^3*T2^4 + 973*T1^4*T2^4 + 1301*T1^5*T2^4 - 1967*T1^6*T2^4 + 
      788*T1^7*T2^4 + 14*T1^8*T2^4 - 89*T1^9*T2^4 + 15*T1^10*T2^4 + 18*T2^5 + 
      72*T1*T2^5 - 517*T1^2*T2^5 + 437*T1^3*T2^5 + 1301*T1^4*T2^5 - 
      3323*T1^5*T2^5 + 2557*T1^6*T2^5 + 176*T1^7*T2^5 - 778*T1^8*T2^5 + 
      338*T1^9*T2^5 - 18*T1^10*T2^5 - 12*T1^11*T2^5 - 3*T2^6 - 54*T1*T2^6 + 
      166*T1^2*T2^6 + 407*T1^3*T2^6 - 1967*T1^4*T2^6 + 2557*T1^5*T2^6 - 
      744*T1^6*T2^6 - 2213*T1^7*T2^6 + 1399*T1^8*T2^6 - 259*T1^9*T2^6 - 
      158*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 12*T1*T2^7 + 
      18*T1^2*T2^7 - 382*T1^3*T2^7 + 788*T1^4*T2^7 + 176*T1^5*T2^7 - 
      2213*T1^6*T2^7 + 3667*T1^7*T2^7 - 949*T1^8*T2^7 - 427*T1^9*T2^7 + 
      473*T1^10*T2^7 - 72*T1^11*T2^7 - 18*T1^12*T2^7 - 15*T1^2*T2^8 + 
      91*T1^3*T2^8 + 14*T1^4*T2^8 - 778*T1^5*T2^8 + 1399*T1^6*T2^8 - 
      949*T1^7*T2^8 - 1541*T1^8*T2^8 + 1490*T1^9*T2^8 - 598*T1^10*T2^8 - 
      17*T1^11*T2^8 + 45*T1^12*T2^8 - 89*T1^4*T2^9 + 338*T1^5*T2^9 - 
      259*T1^6*T2^9 - 427*T1^7*T2^9 + 1490*T1^8*T2^9 - 763*T1^9*T2^9 + 
      23*T1^10*T2^9 + 199*T1^11*T2^9 - 63*T1^12*T2^9 + 15*T1^4*T2^10 - 
      18*T1^5*T2^10 - 158*T1^6*T2^10 + 473*T1^7*T2^10 - 598*T1^8*T2^10 + 
      23*T1^9*T2^10 + 262*T1^10*T2^10 - 198*T1^11*T2^10 + 45*T1^12*T2^10 - 
      12*T1^5*T2^11 + 54*T1^6*T2^11 - 72*T1^7*T2^11 - 17*T1^8*T2^11 + 
      199*T1^9*T2^11 - 198*T1^10*T2^11 + 96*T1^11*T2^11 - 18*T1^12*T2^11 + 
      3*T1^6*T2^12 - 18*T1^7*T2^12 + 45*T1^8*T2^12 - 63*T1^9*T2^12 + 
      45*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 617] -> 
  {-(((1 - 3*T + T^2)*(1 - T^2 + T^4))/T^3), 
   -((-1 + 3*T1 - 3*T1^3 + 3*T1^5 - T1^6 + 3*T2 - 9*T1*T2 + 9*T1^3*T2 - 
      9*T1^5*T2 + 3*T1^6*T2 + 5*T1^2*T2^2 - 6*T1^3*T2^2 + 5*T1^4*T2^2 - 
      6*T1^5*T2^2 + 5*T1^6*T2^2 - 3*T2^3 + 9*T1*T2^3 - 6*T1^2*T2^3 - 
      T1^3*T2^3 - 18*T1^4*T2^3 + 9*T1^5*T2^3 + 17*T1^6*T2^3 - 6*T1^7*T2^3 - 
      18*T1^8*T2^3 + 6*T1^9*T2^3 + 5*T1^2*T2^4 - 18*T1^3*T2^4 + 
      41*T1^4*T2^4 + 25*T1^5*T2^4 - 67*T1^6*T2^4 + 59*T1^8*T2^4 - 
      18*T1^9*T2^4 + 3*T2^5 - 9*T1*T2^5 - 6*T1^2*T2^5 + 9*T1^3*T2^5 + 
      25*T1^4*T2^5 - 47*T1^5*T2^5 + 13*T1^6*T2^5 + 25*T1^7*T2^5 - 
      36*T1^8*T2^5 - 6*T1^9*T2^5 + 36*T1^10*T2^5 - 12*T1^11*T2^5 - T2^6 + 
      3*T1*T2^6 + 5*T1^2*T2^6 + 17*T1^3*T2^6 - 67*T1^4*T2^6 + 13*T1^5*T2^6 + 
      36*T1^6*T2^6 - 41*T1^7*T2^6 + 41*T1^8*T2^6 + 35*T1^9*T2^6 - 
      103*T1^10*T2^6 + 21*T1^11*T2^6 + 5*T1^12*T2^6 - 6*T1^3*T2^7 + 
      25*T1^5*T2^7 - 41*T1^6*T2^7 + 19*T1^7*T2^7 + 25*T1^8*T2^7 - 
      45*T1^9*T2^7 - 6*T1^10*T2^7 + 45*T1^11*T2^7 - 15*T1^12*T2^7 - 
      18*T1^3*T2^8 + 59*T1^4*T2^8 - 36*T1^5*T2^8 + 41*T1^6*T2^8 + 
      25*T1^7*T2^8 - 67*T1^8*T2^8 - 18*T1^9*T2^8 + 113*T1^10*T2^8 - 
      36*T1^11*T2^8 + 6*T1^3*T2^9 - 18*T1^4*T2^9 - 6*T1^5*T2^9 + 
      35*T1^6*T2^9 - 45*T1^7*T2^9 - 18*T1^8*T2^9 + 53*T1^9*T2^9 - 
      6*T1^10*T2^9 - 45*T1^11*T2^9 + 15*T1^12*T2^9 + 36*T1^5*T2^10 - 
      103*T1^6*T2^10 - 6*T1^7*T2^10 + 113*T1^8*T2^10 - 6*T1^9*T2^10 - 
      103*T1^10*T2^10 + 36*T1^11*T2^10 - 12*T1^5*T2^11 + 21*T1^6*T2^11 + 
      45*T1^7*T2^11 - 36*T1^8*T2^11 - 45*T1^9*T2^11 + 36*T1^10*T2^11 + 
      33*T1^11*T2^11 - 15*T1^12*T2^11 + 5*T1^6*T2^12 - 15*T1^7*T2^12 + 
      15*T1^9*T2^12 - 15*T1^11*T2^12 + 5*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 618] -> 
  {-((1 - 6*T + 15*T^2 - 21*T^3 + 21*T^4 - 21*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 75*T1^2 + 105*T1^3 - 105*T1^4 + 105*T1^5 - 
      75*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 
      270*T1^3*T2 + 126*T1^4*T2 - 126*T1^5*T2 - 54*T1^6*T2 + 180*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 306*T1^2*T2^2 - 
      316*T1^3*T2^2 + 777*T1^4*T2^2 - 510*T1^5*T2^2 + 957*T1^6*T2^2 - 
      766*T1^7*T2^2 + 114*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 
      105*T2^3 - 270*T1*T2^3 - 316*T1^2*T2^3 + 1623*T1^3*T2^3 - 
      1567*T1^4*T2^3 + 332*T1^5*T2^3 - 1180*T1^6*T2^3 - 28*T1^7*T2^3 + 
      1119*T1^8*T2^3 - 631*T1^9*T2^3 + 18*T1^10*T2^3 + 42*T1^11*T2^3 - 
      105*T2^4 + 126*T1*T2^4 + 777*T1^2*T2^4 - 1567*T1^3*T2^4 - 
      257*T1^4*T2^4 + 2166*T1^5*T2^4 - 347*T1^6*T2^4 + 2418*T1^7*T2^4 - 
      2357*T1^8*T2^4 + 197*T1^9*T2^4 + 525*T1^10*T2^4 - 126*T1^11*T2^4 - 
      21*T1^12*T2^4 + 105*T2^5 - 126*T1*T2^5 - 510*T1^2*T2^5 + 
      332*T1^3*T2^5 + 2166*T1^4*T2^5 - 2880*T1^5*T2^5 - 228*T1^6*T2^5 - 
      2055*T1^7*T2^5 + 564*T1^8*T2^5 + 1662*T1^9*T2^5 - 928*T1^10*T2^5 - 
      132*T1^11*T2^5 + 126*T1^12*T2^5 - 75*T2^6 - 54*T1*T2^6 + 
      957*T1^2*T2^6 - 1180*T1^3*T2^6 - 347*T1^4*T2^6 - 228*T1^5*T2^6 + 
      3308*T1^6*T2^6 - 176*T1^7*T2^6 + 788*T1^8*T2^6 - 1488*T1^9*T2^6 - 
      221*T1^10*T2^6 + 710*T1^11*T2^6 - 87*T1^12*T2^6 - 90*T1^13*T2^6 + 
      15*T1^14*T2^6 + 30*T2^7 + 180*T1*T2^7 - 766*T1^2*T2^7 - 28*T1^3*T2^7 + 
      2418*T1^4*T2^7 - 2055*T1^5*T2^7 - 176*T1^6*T2^7 - 3530*T1^7*T2^7 + 
      2812*T1^8*T2^7 - 545*T1^9*T2^7 + 906*T1^10*T2^7 - 102*T1^11*T2^7 - 
      667*T1^12*T2^7 + 359*T1^13*T2^7 - 18*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 114*T1^2*T2^8 + 1119*T1^3*T2^8 - 
      2357*T1^4*T2^8 + 564*T1^5*T2^8 + 788*T1^6*T2^8 + 2812*T1^7*T2^8 - 
      804*T1^8*T2^8 - 2420*T1^9*T2^8 + 1142*T1^10*T2^8 - 1620*T1^11*T2^8 + 
      1483*T1^12*T2^8 - 327*T1^13*T2^8 - 162*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 126*T1^2*T2^9 - 631*T1^3*T2^9 + 
      197*T1^4*T2^9 + 1662*T1^5*T2^9 - 1488*T1^6*T2^9 - 545*T1^7*T2^9 - 
      2420*T1^8*T2^9 + 3922*T1^9*T2^9 - 914*T1^10*T2^9 + 1473*T1^11*T2^9 - 
      858*T1^12*T2^9 - 442*T1^13*T2^9 + 494*T1^14*T2^9 - 72*T1^15*T2^9 - 
      18*T1^16*T2^9 - 45*T1^2*T2^10 + 18*T1^3*T2^10 + 525*T1^4*T2^10 - 
      928*T1^5*T2^10 - 221*T1^6*T2^10 + 906*T1^7*T2^10 + 1142*T1^8*T2^10 - 
      914*T1^9*T2^10 - 1378*T1^10*T2^10 - 354*T1^11*T2^10 - 95*T1^12*T2^10 + 
      962*T1^13*T2^10 - 519*T1^14*T2^10 - 18*T1^15*T2^10 + 45*T1^16*T2^10 + 
      42*T1^3*T2^11 - 126*T1^4*T2^11 - 132*T1^5*T2^11 + 710*T1^6*T2^11 - 
      102*T1^7*T2^11 - 1620*T1^8*T2^11 + 1473*T1^9*T2^11 - 354*T1^10*T2^11 + 
      1824*T1^11*T2^11 - 606*T1^12*T2^11 - 550*T1^13*T2^11 + 
      246*T1^14*T2^11 + 126*T1^15*T2^11 - 63*T1^16*T2^11 - 21*T1^4*T2^12 + 
      126*T1^5*T2^12 - 87*T1^6*T2^12 - 667*T1^7*T2^12 + 1483*T1^8*T2^12 - 
      858*T1^9*T2^12 - 95*T1^10*T2^12 - 606*T1^11*T2^12 - 617*T1^12*T2^12 + 
      1097*T1^13*T2^12 - 339*T1^14*T2^12 - 126*T1^15*T2^12 + 63*T1^16*T2^12 - 
      90*T1^6*T2^13 + 359*T1^7*T2^13 - 327*T1^8*T2^13 - 442*T1^9*T2^13 + 
      962*T1^10*T2^13 - 550*T1^11*T2^13 + 1097*T1^12*T2^13 - 
      831*T1^13*T2^13 + 44*T1^14*T2^13 + 198*T1^15*T2^13 - 63*T1^16*T2^13 + 
      15*T1^6*T2^14 - 18*T1^7*T2^14 - 162*T1^8*T2^14 + 494*T1^9*T2^14 - 
      519*T1^10*T2^14 + 246*T1^11*T2^14 - 339*T1^12*T2^14 + 44*T1^13*T2^14 + 
      258*T1^14*T2^14 - 198*T1^15*T2^14 + 45*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 72*T1^9*T2^15 - 18*T1^10*T2^15 + 126*T1^11*T2^15 - 
      126*T1^12*T2^15 + 198*T1^13*T2^15 - 198*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 45*T1^10*T2^16 - 
      63*T1^11*T2^16 + 63*T1^12*T2^16 - 63*T1^13*T2^16 + 45*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 619] -> 
  {(1 - 6*T + 14*T^2 - 15*T^3 + 13*T^4 - 15*T^5 + 14*T^6 - 6*T^7 + T^8)/T^4, 
   (-2 + 12*T1 - 28*T1^2 + 30*T1^3 - 26*T1^4 + 30*T1^5 - 28*T1^6 + 12*T1^7 - 
     2*T1^8 + 12*T2 - 66*T1*T2 + 132*T1^2*T2 - 96*T1^3*T2 + 66*T1^4*T2 - 
     102*T1^5*T2 + 78*T1^6*T2 + 12*T1^7*T2 - 24*T1^8*T2 + 6*T1^9*T2 - 
     28*T2^2 + 132*T1*T2^2 - 177*T1^2*T2^2 - 81*T1^3*T2^2 + 170*T1^4*T2^2 - 
     41*T1^5*T2^2 + 142*T1^6*T2^2 - 333*T1^7*T2^2 + 187*T1^8*T2^2 - 
     36*T1^9*T2^2 + 30*T2^3 - 96*T1*T2^3 - 81*T1^2*T2^3 + 715*T1^3*T2^3 - 
     780*T1^4*T2^3 + 433*T1^5*T2^3 - 614*T1^6*T2^3 + 801*T1^7*T2^3 - 
     245*T1^8*T2^3 - 123*T1^9*T2^3 + 90*T1^10*T2^3 - 15*T1^11*T2^3 - 
     26*T2^4 + 66*T1*T2^4 + 170*T1^2*T2^4 - 780*T1^3*T2^4 + 430*T1^4*T2^4 + 
     398*T1^5*T2^4 - 88*T1^6*T2^4 - 250*T1^7*T2^4 - 566*T1^8*T2^4 + 
     780*T1^9*T2^4 - 182*T1^10*T2^4 - 66*T1^11*T2^4 + 26*T1^12*T2^4 + 
     30*T2^5 - 102*T1*T2^5 - 41*T1^2*T2^5 + 433*T1^3*T2^5 + 398*T1^4*T2^5 - 
     1441*T1^5*T2^5 + 496*T1^6*T2^5 - 98*T1^7*T2^5 + 1403*T1^8*T2^5 - 
     1033*T1^9*T2^5 - 248*T1^10*T2^5 + 103*T1^11*T2^5 + 114*T1^12*T2^5 - 
     45*T1^13*T2^5 - 28*T2^6 + 78*T1*T2^6 + 142*T1^2*T2^6 - 614*T1^3*T2^6 - 
     88*T1^4*T2^6 + 496*T1^5*T2^6 + 766*T1^6*T2^6 + 94*T1^7*T2^6 - 
     1746*T1^8*T2^6 + 280*T1^9*T2^6 + 336*T1^10*T2^6 + 982*T1^11*T2^6 - 
     478*T1^12*T2^6 - 66*T1^13*T2^6 + 56*T1^14*T2^6 + 12*T2^7 + 12*T1*T2^7 - 
     333*T1^2*T2^7 + 801*T1^3*T2^7 - 250*T1^4*T2^7 - 98*T1^5*T2^7 + 
     94*T1^6*T2^7 - 2307*T1^7*T2^7 + 2397*T1^8*T2^7 - 89*T1^9*T2^7 + 
     1252*T1^10*T2^7 - 1951*T1^11*T2^7 - 864*T1^12*T2^7 + 969*T1^13*T2^7 - 
     156*T1^14*T2^7 - 30*T1^15*T2^7 - 2*T2^8 - 24*T1*T2^8 + 187*T1^2*T2^8 - 
     245*T1^3*T2^8 - 566*T1^4*T2^8 + 1403*T1^5*T2^8 - 1746*T1^6*T2^8 + 
     2397*T1^7*T2^8 + 420*T1^8*T2^8 - 2349*T1^9*T2^8 + 484*T1^10*T2^8 - 
     1819*T1^11*T2^8 + 4574*T1^12*T2^8 - 1595*T1^13*T2^8 - 213*T1^14*T2^8 + 
     144*T1^15*T2^8 + 6*T1^16*T2^8 + 6*T1*T2^9 - 36*T1^2*T2^9 - 
     123*T1^3*T2^9 + 780*T1^4*T2^9 - 1033*T1^5*T2^9 + 280*T1^6*T2^9 - 
     89*T1^7*T2^9 - 2349*T1^8*T2^9 + 2355*T1^9*T2^9 - 272*T1^10*T2^9 + 
     1630*T1^11*T2^9 - 2734*T1^12*T2^9 - 885*T1^13*T2^9 + 1179*T1^14*T2^9 - 
     204*T1^15*T2^9 - 36*T1^16*T2^9 + 90*T1^3*T2^10 - 182*T1^4*T2^10 - 
     248*T1^5*T2^10 + 336*T1^6*T2^10 + 1252*T1^7*T2^10 + 484*T1^8*T2^10 - 
     272*T1^9*T2^10 - 2028*T1^10*T2^10 + 1036*T1^11*T2^10 + 760*T1^12*T2^10 + 
     1348*T1^13*T2^10 - 802*T1^14*T2^10 - 54*T1^15*T2^10 + 84*T1^16*T2^10 - 
     15*T1^3*T2^11 - 66*T1^4*T2^11 + 103*T1^5*T2^11 + 982*T1^6*T2^11 - 
     1951*T1^7*T2^11 - 1819*T1^8*T2^11 + 1630*T1^9*T2^11 + 1036*T1^10*T2^11 + 
     1025*T1^11*T2^11 - 3382*T1^12*T2^11 + 301*T1^13*T2^11 + 
     247*T1^14*T2^11 + 150*T1^15*T2^11 - 90*T1^16*T2^11 + 26*T1^4*T2^12 + 
     114*T1^5*T2^12 - 478*T1^6*T2^12 - 864*T1^7*T2^12 + 4574*T1^8*T2^12 - 
     2734*T1^9*T2^12 + 760*T1^10*T2^12 - 3382*T1^11*T2^12 + 
     3578*T1^12*T2^12 + 696*T1^13*T2^12 - 830*T1^14*T2^12 - 18*T1^15*T2^12 + 
     78*T1^16*T2^12 - 45*T1^5*T2^13 - 66*T1^6*T2^13 + 969*T1^7*T2^13 - 
     1595*T1^8*T2^13 - 885*T1^9*T2^13 + 1348*T1^10*T2^13 + 301*T1^11*T2^13 + 
     696*T1^12*T2^13 - 2555*T1^13*T2^13 + 927*T1^14*T2^13 + 120*T1^15*T2^13 - 
     90*T1^16*T2^13 + 56*T1^6*T2^14 - 156*T1^7*T2^14 - 213*T1^8*T2^14 + 
     1179*T1^9*T2^14 - 802*T1^10*T2^14 + 247*T1^11*T2^14 - 830*T1^12*T2^14 + 
     927*T1^13*T2^14 + 151*T1^14*T2^14 - 324*T1^15*T2^14 + 84*T1^16*T2^14 - 
     30*T1^7*T2^15 + 144*T1^8*T2^15 - 204*T1^9*T2^15 - 54*T1^10*T2^15 + 
     150*T1^11*T2^15 - 18*T1^12*T2^15 + 120*T1^13*T2^15 - 324*T1^14*T2^15 + 
     186*T1^15*T2^15 - 36*T1^16*T2^15 + 6*T1^8*T2^16 - 36*T1^9*T2^16 + 
     84*T1^10*T2^16 - 90*T1^11*T2^16 + 78*T1^12*T2^16 - 90*T1^13*T2^16 + 
     84*T1^14*T2^16 - 36*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 620] -> 
  {(2 - 13*T + 34*T^2 - 45*T^3 + 34*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 215*T1 - 563*T1^2 + 745*T1^3 - 563*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2607*T1^2*T2 - 2069*T1^3*T2 - 15*T1^4*T2 + 
     1385*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 563*T2^2 + 2607*T1*T2^2 - 
     2999*T1^2*T2^2 - 3455*T1^3*T2^2 + 9289*T1^4*T2^2 - 7807*T1^5*T2^2 + 
     1353*T1^6*T2^2 + 839*T1^7*T2^2 - 291*T1^8*T2^2 + 745*T2^3 - 
     2069*T1*T2^3 - 3455*T1^2*T2^3 + 18316*T1^3*T2^3 - 18864*T1^4*T2^3 + 
     3364*T1^5*T2^3 + 10232*T1^6*T2^3 - 6005*T1^7*T2^3 + 557*T1^8*T2^3 + 
     205*T1^9*T2^3 - 563*T2^4 - 15*T1*T2^4 + 9289*T1^2*T2^4 - 
     18864*T1^3*T2^4 - 2502*T1^4*T2^4 + 29786*T1^5*T2^4 - 31238*T1^6*T2^4 + 
     6336*T1^7*T2^4 + 3327*T1^8*T2^4 - 1211*T1^9*T2^4 - 19*T1^10*T2^4 + 
     215*T2^5 + 1385*T1*T2^5 - 7807*T1^2*T2^5 + 3364*T1^3*T2^5 + 
     29786*T1^4*T2^5 - 42776*T1^5*T2^5 + 17722*T1^6*T2^5 + 15778*T1^7*T2^5 - 
     12920*T1^8*T2^5 + 1951*T1^9*T2^5 + 423*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 1353*T1^2*T2^6 + 10232*T1^3*T2^6 - 
     31238*T1^4*T2^6 + 17722*T1^5*T2^6 + 18432*T1^6*T2^6 - 34942*T1^7*T2^6 + 
     13142*T1^8*T2^6 + 2080*T1^9*T2^6 - 1995*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 839*T1^2*T2^7 - 6005*T1^3*T2^7 + 
     6336*T1^4*T2^7 + 15778*T1^5*T2^7 - 34942*T1^6*T2^7 + 25556*T1^7*T2^7 + 
     1770*T1^8*T2^7 - 9948*T1^9*T2^7 + 3753*T1^10*T2^7 - 123*T1^11*T2^7 - 
     97*T1^12*T2^7 - 291*T1^2*T2^8 + 557*T1^3*T2^8 + 3327*T1^4*T2^8 - 
     12920*T1^5*T2^8 + 13142*T1^6*T2^8 + 1770*T1^7*T2^8 - 15594*T1^8*T2^8 + 
     12280*T1^9*T2^8 - 2635*T1^10*T2^8 - 639*T1^11*T2^8 + 253*T1^12*T2^8 + 
     205*T1^3*T2^9 - 1211*T1^4*T2^9 + 1951*T1^5*T2^9 + 2080*T1^6*T2^9 - 
     9948*T1^7*T2^9 + 12280*T1^8*T2^9 - 6004*T1^9*T2^9 - 599*T1^10*T2^9 + 
     1415*T1^11*T2^9 - 335*T1^12*T2^9 - 19*T1^4*T2^10 + 423*T1^5*T2^10 - 
     1995*T1^6*T2^10 + 3753*T1^7*T2^10 - 2635*T1^8*T2^10 - 599*T1^9*T2^10 + 
     2357*T1^10*T2^10 - 1345*T1^11*T2^10 + 253*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 123*T1^7*T2^11 - 639*T1^8*T2^11 + 1415*T1^9*T2^11 - 
     1345*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 253*T1^8*T2^12 - 335*T1^9*T2^12 + 253*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 621] -> 
  {(1 - 7*T + 23*T^2 - 33*T^3 + 23*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 46*T1^2 + 66*T1^3 - 46*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 271*T1^2*T2 - 300*T1^3*T2 + 92*T1^4*T2 + 61*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 46*T2^2 + 271*T1*T2^2 - 679*T1^2*T2^2 + 
     364*T1^3*T2^2 + 579*T1^4*T2^2 - 832*T1^5*T2^2 + 333*T1^6*T2^2 - 
     51*T1^7*T2^2 + 66*T2^3 - 300*T1*T2^3 + 364*T1^2*T2^3 + 1282*T1^3*T2^3 - 
     3428*T1^4*T2^3 + 2618*T1^5*T2^3 - 182*T1^6*T2^3 - 625*T1^7*T2^3 + 
     232*T1^8*T2^3 - 33*T1^9*T2^3 - 46*T2^4 + 92*T1*T2^4 + 579*T1^2*T2^4 - 
     3428*T1^3*T2^4 + 6045*T1^4*T2^4 - 1799*T1^5*T2^4 - 3943*T1^6*T2^4 + 
     3700*T1^7*T2^4 - 539*T1^8*T2^4 - 90*T1^9*T2^4 + 46*T1^10*T2^4 + 
     14*T2^5 + 61*T1*T2^5 - 832*T1^2*T2^5 + 2618*T1^3*T2^5 - 1799*T1^4*T2^5 - 
     10503*T1^5*T2^5 + 17791*T1^6*T2^5 - 8952*T1^7*T2^5 - 1264*T1^8*T2^5 + 
     985*T1^9*T2^5 - 177*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     333*T1^2*T2^6 - 182*T1^3*T2^6 - 3943*T1^4*T2^6 + 17791*T1^5*T2^6 - 
     14868*T1^6*T2^6 - 5447*T1^7*T2^6 + 13003*T1^8*T2^6 - 3278*T1^9*T2^6 + 
     157*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     51*T1^2*T2^7 - 625*T1^3*T2^7 + 3700*T1^4*T2^7 - 8952*T1^5*T2^7 - 
     5447*T1^6*T2^7 + 22847*T1^7*T2^7 - 16105*T1^8*T2^7 - 182*T1^9*T2^7 + 
     1192*T1^10*T2^7 - 289*T1^11*T2^7 - 28*T1^12*T2^7 + 232*T1^3*T2^8 - 
     539*T1^4*T2^8 - 1264*T1^5*T2^8 + 13003*T1^6*T2^8 - 16105*T1^7*T2^8 + 
     3015*T1^8*T2^8 + 5864*T1^9*T2^8 - 1657*T1^10*T2^8 + 50*T1^11*T2^8 + 
     92*T1^12*T2^8 - 33*T1^3*T2^9 - 90*T1^4*T2^9 + 985*T1^5*T2^9 - 
     3278*T1^6*T2^9 - 182*T1^7*T2^9 + 5864*T1^8*T2^9 - 4742*T1^9*T2^9 - 
     4*T1^10*T2^9 + 442*T1^11*T2^9 - 132*T1^12*T2^9 + 46*T1^4*T2^10 - 
     177*T1^5*T2^10 + 157*T1^6*T2^10 + 1192*T1^7*T2^10 - 1657*T1^8*T2^10 - 
     4*T1^9*T2^10 + 1169*T1^10*T2^10 - 499*T1^11*T2^10 + 92*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 289*T1^7*T2^11 + 50*T1^8*T2^11 + 
     442*T1^9*T2^11 - 499*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 92*T1^8*T2^12 - 132*T1^9*T2^12 + 
     92*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 622] -> 
  {-((1 - 6*T + 14*T^2 - 19*T^3 + 19*T^4 - 19*T^5 + 14*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 70*T1^2 + 95*T1^3 - 95*T1^4 + 95*T1^5 - 70*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 276*T1^2*T2 - 234*T1^3*T2 + 
      114*T1^4*T2 - 114*T1^5*T2 - 36*T1^6*T2 + 156*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 70*T2^2 + 276*T1*T2^2 - 157*T1^2*T2^2 - 437*T1^3*T2^2 + 
      819*T1^4*T2^2 - 607*T1^5*T2^2 + 959*T1^6*T2^2 - 801*T1^7*T2^2 + 
      207*T1^8*T2^2 + 108*T1^9*T2^2 - 42*T1^10*T2^2 + 95*T2^3 - 234*T1*T2^3 - 
      437*T1^2*T2^3 + 1435*T1^3*T2^3 - 1281*T1^4*T2^3 + 326*T1^5*T2^3 - 
      985*T1^6*T2^3 + 66*T1^7*T2^3 + 895*T1^8*T2^3 - 647*T1^9*T2^3 + 
      24*T1^10*T2^3 + 38*T1^11*T2^3 - 95*T2^4 + 114*T1*T2^4 + 819*T1^2*T2^4 - 
      1281*T1^3*T2^4 - 76*T1^4*T2^4 + 1327*T1^5*T2^4 + 54*T1^6*T2^4 + 
      1479*T1^7*T2^4 - 1672*T1^8*T2^4 + 239*T1^9*T2^4 + 515*T1^10*T2^4 - 
      114*T1^11*T2^4 - 19*T1^12*T2^4 + 95*T2^5 - 114*T1*T2^5 - 
      607*T1^2*T2^5 + 326*T1^3*T2^5 + 1327*T1^4*T2^5 - 1679*T1^5*T2^5 - 
      479*T1^6*T2^5 - 1201*T1^7*T2^5 + 449*T1^8*T2^5 + 1042*T1^9*T2^5 - 
      795*T1^10*T2^5 - 151*T1^11*T2^5 + 114*T1^12*T2^5 - 70*T2^6 - 
      36*T1*T2^6 + 959*T1^2*T2^6 - 985*T1^3*T2^6 + 54*T1^4*T2^6 - 
      479*T1^5*T2^6 + 2455*T1^6*T2^6 - 183*T1^7*T2^6 + 279*T1^8*T2^6 - 
      783*T1^9*T2^6 - 98*T1^10*T2^6 + 611*T1^11*T2^6 - 69*T1^12*T2^6 - 
      84*T1^13*T2^6 + 14*T1^14*T2^6 + 30*T2^7 + 156*T1*T2^7 - 801*T1^2*T2^7 + 
      66*T1^3*T2^7 + 1479*T1^4*T2^7 - 1201*T1^5*T2^7 - 183*T1^6*T2^7 - 
      2385*T1^7*T2^7 + 2125*T1^8*T2^7 - 408*T1^9*T2^7 + 357*T1^10*T2^7 + 
      16*T1^11*T2^7 - 589*T1^12*T2^7 + 333*T1^13*T2^7 - 12*T1^14*T2^7 - 
      12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 207*T1^2*T2^8 + 895*T1^3*T2^8 - 
      1672*T1^4*T2^8 + 449*T1^5*T2^8 + 279*T1^6*T2^8 + 2125*T1^7*T2^8 - 
      792*T1^8*T2^8 - 1697*T1^9*T2^8 + 1013*T1^10*T2^8 - 1109*T1^11*T2^8 + 
      1020*T1^12*T2^8 - 215*T1^13*T2^8 - 193*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 108*T1^2*T2^9 - 647*T1^3*T2^9 + 
      239*T1^4*T2^9 + 1042*T1^5*T2^9 - 783*T1^6*T2^9 - 408*T1^7*T2^9 - 
      1697*T1^8*T2^9 + 2813*T1^9*T2^9 - 633*T1^10*T2^9 + 775*T1^11*T2^9 - 
      421*T1^12*T2^9 - 416*T1^13*T2^9 + 487*T1^14*T2^9 - 60*T1^15*T2^9 - 
      18*T1^16*T2^9 - 42*T1^2*T2^10 + 24*T1^3*T2^10 + 515*T1^4*T2^10 - 
      795*T1^5*T2^10 - 98*T1^6*T2^10 + 357*T1^7*T2^10 + 1013*T1^8*T2^10 - 
      633*T1^9*T2^10 - 1163*T1^10*T2^10 + 53*T1^11*T2^10 - 250*T1^12*T2^10 + 
      801*T1^13*T2^10 - 513*T1^14*T2^10 - 24*T1^15*T2^10 + 42*T1^16*T2^10 + 
      38*T1^3*T2^11 - 114*T1^4*T2^11 - 151*T1^5*T2^11 + 611*T1^6*T2^11 + 
      16*T1^7*T2^11 - 1109*T1^8*T2^11 + 775*T1^9*T2^11 + 53*T1^10*T2^11 + 
      1019*T1^11*T2^11 - 269*T1^12*T2^11 - 510*T1^13*T2^11 + 
      305*T1^14*T2^11 + 114*T1^15*T2^11 - 57*T1^16*T2^11 - 19*T1^4*T2^12 + 
      114*T1^5*T2^12 - 69*T1^6*T2^12 - 589*T1^7*T2^12 + 1020*T1^8*T2^12 - 
      421*T1^9*T2^12 - 250*T1^10*T2^12 - 269*T1^11*T2^12 - 576*T1^12*T2^12 + 
      931*T1^13*T2^12 - 373*T1^14*T2^12 - 114*T1^15*T2^12 + 57*T1^16*T2^12 - 
      84*T1^6*T2^13 + 333*T1^7*T2^13 - 215*T1^8*T2^13 - 416*T1^9*T2^13 + 
      801*T1^10*T2^13 - 510*T1^11*T2^13 + 931*T1^12*T2^13 - 755*T1^13*T2^13 + 
      123*T1^14*T2^13 + 174*T1^15*T2^13 - 57*T1^16*T2^13 + 14*T1^6*T2^14 - 
      12*T1^7*T2^14 - 193*T1^8*T2^14 + 487*T1^9*T2^14 - 513*T1^10*T2^14 + 
      305*T1^11*T2^14 - 373*T1^12*T2^14 + 123*T1^13*T2^14 + 171*T1^14*T2^14 - 
      180*T1^15*T2^14 + 42*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 
      60*T1^9*T2^15 - 24*T1^10*T2^15 + 114*T1^11*T2^15 - 114*T1^12*T2^15 + 
      174*T1^13*T2^15 - 180*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 
      3*T1^8*T2^16 - 18*T1^9*T2^16 + 42*T1^10*T2^16 - 57*T1^11*T2^16 + 
      57*T1^12*T2^16 - 57*T1^13*T2^16 + 42*T1^14*T2^16 - 18*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 623] -> 
  {(1 - 5*T + 10*T^2 - 8*T^3 + 5*T^4 - 8*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 48*T1^3 - 30*T1^4 + 48*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 + 10*T1^3*T2 - 50*T1^4*T2 - 
     115*T1^5*T2 + 100*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 567*T1^3*T2^2 + 300*T1^4*T2^2 + 
     173*T1^5*T2^2 + 200*T1^6*T2^2 - 627*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 48*T2^3 + 10*T1*T2^3 - 567*T1^2*T2^3 + 
     1120*T1^3*T2^3 + 120*T1^4*T2^3 - 490*T1^5*T2^3 - 708*T1^6*T2^3 + 
     780*T1^7*T2^3 + 586*T1^8*T2^3 - 507*T1^9*T2^3 + 80*T1^10*T2^3 + 
     24*T1^11*T2^3 - 30*T2^4 - 50*T1*T2^4 + 300*T1^2*T2^4 + 120*T1^3*T2^4 - 
     1866*T1^4*T2^4 + 1176*T1^5*T2^4 + 278*T1^6*T2^4 + 716*T1^7*T2^4 - 
     2026*T1^8*T2^4 + 680*T1^9*T2^4 + 100*T1^10*T2^4 - 70*T1^11*T2^4 - 
     10*T1^12*T2^4 + 48*T2^5 - 115*T1*T2^5 + 173*T1^2*T2^5 - 490*T1^3*T2^5 + 
     1176*T1^4*T2^5 - 55*T1^5*T2^5 - 458*T1^6*T2^5 - 748*T1^7*T2^5 + 
     995*T1^8*T2^5 + 451*T1^9*T2^5 - 440*T1^10*T2^5 + 68*T1^11*T2^5 + 
     10*T1^12*T2^5 + 8*T1^13*T2^5 - 60*T2^6 + 100*T1*T2^6 + 200*T1^2*T2^6 - 
     708*T1^3*T2^6 + 278*T1^4*T2^6 - 458*T1^5*T2^6 + 700*T1^6*T2^6 - 
     340*T1^7*T2^6 + 260*T1^8*T2^6 - 598*T1^9*T2^6 + 198*T1^10*T2^6 - 
     88*T1^11*T2^6 + 100*T1^12*T2^6 - 40*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     627*T1^2*T2^7 + 780*T1^3*T2^7 + 716*T1^4*T2^7 - 748*T1^5*T2^7 - 
     340*T1^6*T2^7 + 127*T1^7*T2^7 + 387*T1^8*T2^7 - 120*T1^9*T2^7 - 
     158*T1^10*T2^7 + 381*T1^11*T2^7 - 280*T1^12*T2^7 + 33*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     586*T1^3*T2^8 - 2026*T1^4*T2^8 + 995*T1^5*T2^8 + 260*T1^6*T2^8 + 
     387*T1^7*T2^8 - 456*T1^8*T2^8 - 143*T1^9*T2^8 + 356*T1^10*T2^8 - 
     367*T1^11*T2^8 + 174*T1^12*T2^8 + 150*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     507*T1^3*T2^9 + 680*T1^4*T2^9 + 451*T1^5*T2^9 - 598*T1^6*T2^9 - 
     120*T1^7*T2^9 - 143*T1^8*T2^9 + 117*T1^9*T2^9 + 100*T1^10*T2^9 - 
     8*T1^11*T2^9 + 116*T1^12*T2^9 - 380*T1^13*T2^9 + 153*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 80*T1^3*T2^10 + 100*T1^4*T2^10 - 
     440*T1^5*T2^10 + 198*T1^6*T2^10 - 158*T1^7*T2^10 + 356*T1^8*T2^10 + 
     100*T1^9*T2^10 - 84*T1^10*T2^10 - 298*T1^11*T2^10 + 118*T1^12*T2^10 + 
     180*T1^13*T2^10 - 60*T1^15*T2^10 + 20*T1^16*T2^10 + 24*T1^3*T2^11 - 
     70*T1^4*T2^11 + 68*T1^5*T2^11 - 88*T1^6*T2^11 + 381*T1^7*T2^11 - 
     367*T1^8*T2^11 - 8*T1^9*T2^11 - 298*T1^10*T2^11 + 683*T1^11*T2^11 - 
     344*T1^12*T2^11 - 38*T1^13*T2^11 - 37*T1^14*T2^11 + 55*T1^15*T2^11 - 
     16*T1^16*T2^11 - 10*T1^4*T2^12 + 10*T1^5*T2^12 + 100*T1^6*T2^12 - 
     280*T1^7*T2^12 + 174*T1^8*T2^12 + 116*T1^9*T2^12 + 118*T1^10*T2^12 - 
     344*T1^11*T2^12 + 14*T1^12*T2^12 + 280*T1^13*T2^12 - 100*T1^14*T2^12 - 
     10*T1^15*T2^12 + 10*T1^16*T2^12 + 8*T1^5*T2^13 - 40*T1^6*T2^13 + 
     33*T1^7*T2^13 + 150*T1^8*T2^13 - 380*T1^9*T2^13 + 180*T1^10*T2^13 - 
     38*T1^11*T2^13 + 280*T1^12*T2^13 - 384*T1^13*T2^13 + 93*T1^14*T2^13 + 
     30*T1^15*T2^13 - 16*T1^16*T2^13 + 25*T1^7*T2^14 - 105*T1^8*T2^14 + 
     153*T1^9*T2^14 - 37*T1^11*T2^14 - 100*T1^12*T2^14 + 93*T1^13*T2^14 + 
     75*T1^14*T2^14 - 75*T1^15*T2^14 + 20*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 60*T1^10*T2^15 + 55*T1^11*T2^15 - 10*T1^12*T2^15 + 
     30*T1^13*T2^15 - 75*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 20*T1^10*T2^16 - 16*T1^11*T2^16 + 
     10*T1^12*T2^16 - 16*T1^13*T2^16 + 20*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 624] -> 
  {-((1 - 3*T + 6*T^3 - 9*T^4 + 6*T^5 - 3*T^7 + T^8)/T^4), 
   -((-7 + 21*T1 - 42*T1^3 + 63*T1^4 - 42*T1^5 + 21*T1^7 - 7*T1^8 + 21*T2 - 
      45*T1*T2 - 54*T1^2*T2 + 126*T1^3*T2 - 81*T1^4*T2 - 36*T1^5*T2 + 
      108*T1^6*T2 - 63*T1^7*T2 - 33*T1^8*T2 + 18*T1^9*T2 - 54*T1*T2^2 + 
      159*T1^2*T2^2 + 4*T1^3*T2^2 - 314*T1^4*T2^2 + 465*T1^5*T2^2 - 
      314*T1^6*T2^2 + 4*T1^7*T2^2 + 159*T1^8*T2^2 - 54*T1^9*T2^2 - 42*T2^3 + 
      126*T1*T2^3 + 4*T1^2*T2^3 - 274*T1^3*T2^3 + 404*T1^4*T2^3 - 
      218*T1^5*T2^3 - 110*T1^6*T2^3 + 296*T1^7*T2^3 - 184*T1^8*T2^3 + 
      4*T1^9*T2^3 + 72*T1^10*T2^3 - 24*T1^11*T2^3 + 63*T2^4 - 81*T1*T2^4 - 
      314*T1^2*T2^4 + 404*T1^3*T2^4 - 37*T1^4*T2^4 - 589*T1^5*T2^4 + 
      879*T1^6*T2^4 - 589*T1^7*T2^4 - T1^8*T2^4 + 224*T1^9*T2^4 - 
      206*T1^10*T2^4 - 9*T1^11*T2^4 + 27*T1^12*T2^4 - 42*T2^5 - 36*T1*T2^5 + 
      465*T1^2*T2^5 - 218*T1^3*T2^5 - 589*T1^4*T2^5 + 1121*T1^5*T2^5 - 
      751*T1^6*T2^5 - 175*T1^7*T2^5 + 785*T1^8*T2^5 - 454*T1^9*T2^5 - 
      38*T1^10*T2^5 + 222*T1^11*T2^5 - 45*T1^12*T2^5 - 12*T1^13*T2^5 + 
      108*T1*T2^6 - 314*T1^2*T2^6 - 110*T1^3*T2^6 + 879*T1^4*T2^6 - 
      751*T1^5*T2^6 - 119*T1^6*T2^6 + 857*T1^7*T2^6 - 767*T1^8*T2^6 - 
      31*T1^9*T2^6 + 447*T1^10*T2^6 - 110*T1^11*T2^6 - 98*T1^12*T2^6 + 
      36*T1^13*T2^6 + 21*T2^7 - 63*T1*T2^7 + 4*T1^2*T2^7 + 296*T1^3*T2^7 - 
      589*T1^4*T2^7 - 175*T1^5*T2^7 + 857*T1^6*T2^7 - 789*T1^7*T2^7 + 
      105*T1^8*T2^7 + 533*T1^9*T2^7 - 463*T1^10*T2^7 - 184*T1^11*T2^7 + 
      116*T1^12*T2^7 + 4*T1^13*T2^7 - 7*T2^8 - 33*T1*T2^8 + 159*T1^2*T2^8 - 
      184*T1^3*T2^8 - T1^4*T2^8 + 785*T1^5*T2^8 - 767*T1^6*T2^8 + 
      105*T1^7*T2^8 + 504*T1^8*T2^8 - 621*T1^9*T2^8 + 205*T1^10*T2^8 + 
      275*T1^11*T2^8 + 35*T1^12*T2^8 - 64*T1^13*T2^8 - 3*T1^14*T2^8 - 
      3*T1^15*T2^8 + T1^16*T2^8 + 18*T1*T2^9 - 54*T1^2*T2^9 + 4*T1^3*T2^9 + 
      224*T1^4*T2^9 - 454*T1^5*T2^9 - 31*T1^6*T2^9 + 533*T1^7*T2^9 - 
      621*T1^8*T2^9 + 273*T1^9*T2^9 + 209*T1^10*T2^9 - 319*T1^11*T2^9 - 
      49*T1^12*T2^9 + 44*T1^13*T2^9 + 4*T1^14*T2^9 + 9*T1^15*T2^9 - 
      3*T1^16*T2^9 + 72*T1^3*T2^10 - 206*T1^4*T2^10 - 38*T1^5*T2^10 + 
      447*T1^6*T2^10 - 463*T1^7*T2^10 + 205*T1^8*T2^10 + 209*T1^9*T2^10 - 
      443*T1^10*T2^10 + 257*T1^11*T2^10 + 15*T1^12*T2^10 - 38*T1^13*T2^10 + 
      10*T1^14*T2^10 - 24*T1^3*T2^11 - 9*T1^4*T2^11 + 222*T1^5*T2^11 - 
      110*T1^6*T2^11 - 184*T1^7*T2^11 + 275*T1^8*T2^11 - 319*T1^9*T2^11 + 
      257*T1^10*T2^11 - 61*T1^11*T2^11 - 49*T1^12*T2^11 + 70*T1^13*T2^11 - 
      21*T1^14*T2^11 - 18*T1^15*T2^11 + 6*T1^16*T2^11 + 27*T1^4*T2^12 - 
      45*T1^5*T2^12 - 98*T1^6*T2^12 + 116*T1^7*T2^12 + 35*T1^8*T2^12 - 
      49*T1^9*T2^12 + 15*T1^10*T2^12 - 49*T1^11*T2^12 + 71*T1^12*T2^12 - 
      64*T1^13*T2^12 + 10*T1^14*T2^12 + 27*T1^15*T2^12 - 9*T1^16*T2^12 - 
      12*T1^5*T2^13 + 36*T1^6*T2^13 + 4*T1^7*T2^13 - 64*T1^8*T2^13 + 
      44*T1^9*T2^13 - 38*T1^10*T2^13 + 70*T1^11*T2^13 - 64*T1^12*T2^13 + 
      26*T1^13*T2^13 + 4*T1^14*T2^13 - 18*T1^15*T2^13 + 6*T1^16*T2^13 - 
      3*T1^8*T2^14 + 4*T1^9*T2^14 + 10*T1^10*T2^14 - 21*T1^11*T2^14 + 
      10*T1^12*T2^14 + 4*T1^13*T2^14 - 3*T1^14*T2^14 - 3*T1^8*T2^15 + 
      9*T1^9*T2^15 - 18*T1^11*T2^15 + 27*T1^12*T2^15 - 18*T1^13*T2^15 + 
      9*T1^15*T2^15 - 3*T1^16*T2^15 + T1^8*T2^16 - 3*T1^9*T2^16 + 
      6*T1^11*T2^16 - 9*T1^12*T2^16 + 6*T1^13*T2^16 - 3*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 625] -> 
  {-(((1 - 3*T + 5*T^2 - 3*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-3 + 15*T1 - 36*T1^2 + 54*T1^3 - 57*T1^4 + 54*T1^5 - 36*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 130*T1^2*T2 - 150*T1^3*T2 + 
      105*T1^4*T2 - 80*T1^5*T2 + 45*T1^7*T2 - 35*T1^8*T2 + 10*T1^9*T2 - 
      36*T2^2 + 130*T1*T2^2 - 194*T1^2*T2^2 + 107*T1^3*T2^2 + 72*T1^4*T2^2 - 
      82*T1^5*T2^2 + 240*T1^6*T2^2 - 205*T1^7*T2^2 + 70*T1^8*T2^2 + 
      10*T1^9*T2^2 - 12*T1^10*T2^2 + 54*T2^3 - 150*T1*T2^3 + 107*T1^2*T2^3 + 
      172*T1^3*T2^3 - 407*T1^4*T2^3 + 209*T1^5*T2^3 - 391*T1^6*T2^3 + 
      97*T1^7*T2^3 + 178*T1^8*T2^3 - 181*T1^9*T2^3 + 60*T1^10*T2^3 - 
      57*T2^4 + 105*T1*T2^4 + 72*T1^2*T2^4 - 407*T1^3*T2^4 + 411*T1^4*T2^4 + 
      127*T1^5*T2^4 + 149*T1^6*T2^4 + 399*T1^7*T2^4 - 561*T1^8*T2^4 + 
      205*T1^9*T2^4 + 84*T1^10*T2^4 - 95*T1^11*T2^4 + 19*T1^12*T2^4 + 
      54*T2^5 - 80*T1*T2^5 - 82*T1^2*T2^5 + 209*T1^3*T2^5 + 127*T1^4*T2^5 - 
      733*T1^5*T2^5 + 140*T1^6*T2^5 - 832*T1^7*T2^5 + 617*T1^8*T2^5 + 
      160*T1^9*T2^5 - 295*T1^10*T2^5 + 47*T1^11*T2^5 + 85*T1^12*T2^5 - 
      36*T1^13*T2^5 - 36*T2^6 + 240*T1^2*T2^6 - 391*T1^3*T2^6 + 
      149*T1^4*T2^6 + 140*T1^5*T2^6 + 453*T1^6*T2^6 + 739*T1^7*T2^6 - 
      243*T1^8*T2^6 - 604*T1^9*T2^6 + 53*T1^10*T2^6 + 353*T1^11*T2^6 - 
      240*T1^12*T2^6 + 36*T1^14*T2^6 + 15*T2^7 + 45*T1*T2^7 - 205*T1^2*T2^7 + 
      97*T1^3*T2^7 + 399*T1^4*T2^7 - 832*T1^5*T2^7 + 739*T1^6*T2^7 - 
      1725*T1^7*T2^7 + 171*T1^8*T2^7 + 727*T1^9*T2^7 + 596*T1^10*T2^7 - 
      590*T1^11*T2^7 + 25*T1^12*T2^7 + 227*T1^13*T2^7 - 80*T1^14*T2^7 - 
      20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 70*T1^2*T2^8 + 178*T1^3*T2^8 - 
      561*T1^4*T2^8 + 617*T1^5*T2^8 - 243*T1^6*T2^8 + 171*T1^7*T2^8 + 
      1416*T1^8*T2^8 - 1171*T1^9*T2^8 - 903*T1^10*T2^8 + 83*T1^11*T2^8 + 
      563*T1^12*T2^8 - 398*T1^13*T2^8 - 8*T1^14*T2^8 + 75*T1^15*T2^8 + 
      5*T1^16*T2^8 + 10*T1*T2^9 + 10*T1^2*T2^9 - 181*T1^3*T2^9 + 
      205*T1^4*T2^9 + 160*T1^5*T2^9 - 604*T1^6*T2^9 + 727*T1^7*T2^9 - 
      1171*T1^8*T2^9 + 725*T1^9*T2^9 + 715*T1^10*T2^9 + 824*T1^11*T2^9 - 
      829*T1^12*T2^9 + 133*T1^13*T2^9 + 251*T1^14*T2^9 - 115*T1^15*T2^9 - 
      25*T1^16*T2^9 - 12*T1^2*T2^10 + 60*T1^3*T2^10 + 84*T1^4*T2^10 - 
      295*T1^5*T2^10 + 53*T1^6*T2^10 + 596*T1^7*T2^10 - 903*T1^8*T2^10 + 
      715*T1^9*T2^10 - 1599*T1^10*T2^10 - 148*T1^11*T2^10 - 43*T1^12*T2^10 + 
      449*T1^13*T2^10 - 396*T1^14*T2^10 + 60*T1^15*T2^10 + 60*T1^16*T2^10 - 
      95*T1^4*T2^11 + 47*T1^5*T2^11 + 353*T1^6*T2^11 - 590*T1^7*T2^11 + 
      83*T1^8*T2^11 + 824*T1^9*T2^11 - 148*T1^10*T2^11 + 1433*T1^11*T2^11 - 
      557*T1^12*T2^11 - 151*T1^13*T2^11 + 176*T1^14*T2^11 + 70*T1^15*T2^11 - 
      90*T1^16*T2^11 + 19*T1^4*T2^12 + 85*T1^5*T2^12 - 240*T1^6*T2^12 + 
      25*T1^7*T2^12 + 563*T1^8*T2^12 - 829*T1^9*T2^12 - 43*T1^10*T2^12 - 
      557*T1^11*T2^12 - 409*T1^12*T2^12 + 637*T1^13*T2^12 - 228*T1^14*T2^12 - 
      115*T1^15*T2^12 + 95*T1^16*T2^12 - 36*T1^5*T2^13 + 227*T1^7*T2^13 - 
      398*T1^8*T2^13 + 133*T1^9*T2^13 + 449*T1^10*T2^13 - 151*T1^11*T2^13 + 
      637*T1^12*T2^13 - 392*T1^13*T2^13 - 61*T1^14*T2^13 + 210*T1^15*T2^13 - 
      90*T1^16*T2^13 + 36*T1^6*T2^14 - 80*T1^7*T2^14 - 8*T1^8*T2^14 + 
      251*T1^9*T2^14 - 396*T1^10*T2^14 + 176*T1^11*T2^14 - 228*T1^12*T2^14 - 
      61*T1^13*T2^14 + 256*T1^14*T2^14 - 200*T1^15*T2^14 + 60*T1^16*T2^14 - 
      20*T1^7*T2^15 + 75*T1^8*T2^15 - 115*T1^9*T2^15 + 60*T1^10*T2^15 + 
      70*T1^11*T2^15 - 115*T1^12*T2^15 + 210*T1^13*T2^15 - 200*T1^14*T2^15 + 
      105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 
      60*T1^10*T2^16 - 90*T1^11*T2^16 + 95*T1^12*T2^16 - 90*T1^13*T2^16 + 
      60*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 626] -> 
  {-(((1 - T + T^2)*(2 - 13*T + 21*T^2 - 13*T^3 + 2*T^4))/T^3), 
   -((-7 + 53*T1 - 128*T1^2 + 167*T1^3 - 128*T1^4 + 53*T1^5 - 7*T1^6 + 
      53*T2 - 402*T1*T2 + 1021*T1^2*T2 - 1381*T1^3*T2 + 1109*T1^4*T2 - 
      509*T1^5*T2 + 108*T1^6*T2 - 7*T1^7*T2 - 128*T2^2 + 1021*T1*T2^2 - 
      2607*T1^2*T2^2 + 2714*T1^3*T2^2 - 545*T1^4*T2^2 - 1894*T1^5*T2^2 + 
      2289*T1^6*T2^2 - 1139*T1^7*T2^2 + 160*T1^8*T2^2 + 167*T2^3 - 
      1381*T1*T2^3 + 2714*T1^2*T2^3 + 2772*T1^3*T2^3 - 12938*T1^4*T2^3 + 
      17500*T1^5*T2^3 - 10950*T1^6*T2^3 + 1742*T1^7*T2^3 + 1769*T1^8*T2^3 - 
      397*T1^9*T2^3 - 128*T2^4 + 1109*T1*T2^4 - 545*T1^2*T2^4 - 
      12938*T1^3*T2^4 + 23855*T1^4*T2^4 - 13549*T1^5*T2^4 - 11473*T1^6*T2^4 + 
      21466*T1^7*T2^4 - 11327*T1^8*T2^4 - 391*T1^9*T2^4 + 448*T1^10*T2^4 + 
      53*T2^5 - 509*T1*T2^5 - 1894*T1^2*T2^5 + 17500*T1^3*T2^5 - 
      13549*T1^4*T2^5 - 17714*T1^5*T2^5 + 42652*T1^6*T2^5 - 25861*T1^7*T2^5 - 
      5006*T1^8*T2^5 + 13622*T1^9*T2^5 - 1499*T1^10*T2^5 - 247*T1^11*T2^5 - 
      7*T2^6 + 108*T1*T2^6 + 2289*T1^2*T2^6 - 10950*T1^3*T2^6 - 
      11473*T1^4*T2^6 + 42652*T1^5*T2^6 - 36960*T1^6*T2^6 - 10052*T1^7*T2^6 + 
      35219*T1^8*T2^6 - 18558*T1^9*T2^6 - 5163*T1^10*T2^6 + 1548*T1^11*T2^6 + 
      41*T1^12*T2^6 - 7*T1*T2^7 - 1139*T1^2*T2^7 + 1742*T1^3*T2^7 + 
      21466*T1^4*T2^7 - 25861*T1^5*T2^7 - 10052*T1^6*T2^7 + 50314*T1^7*T2^7 - 
      38173*T1^8*T2^7 - 1040*T1^9*T2^7 + 17258*T1^10*T2^7 - 2129*T1^11*T2^7 - 
      307*T1^12*T2^7 + 160*T1^2*T2^8 + 1769*T1^3*T2^8 - 11327*T1^4*T2^8 - 
      5006*T1^5*T2^8 + 35219*T1^6*T2^8 - 38173*T1^7*T2^8 - 109*T1^8*T2^8 + 
      29398*T1^9*T2^8 - 22109*T1^10*T2^8 + 269*T1^11*T2^8 + 736*T1^12*T2^8 - 
      397*T1^3*T2^9 - 391*T1^4*T2^9 + 13622*T1^5*T2^9 - 18558*T1^6*T2^9 - 
      1040*T1^7*T2^9 + 29398*T1^8*T2^9 - 32280*T1^9*T2^9 + 12650*T1^10*T2^9 + 
      2759*T1^11*T2^9 - 961*T1^12*T2^9 + 448*T1^4*T2^10 - 1499*T1^5*T2^10 - 
      5163*T1^6*T2^10 + 17258*T1^7*T2^10 - 22109*T1^8*T2^10 + 
      12650*T1^9*T2^10 - 267*T1^10*T2^10 - 3659*T1^11*T2^10 + 
      736*T1^12*T2^10 - 247*T1^5*T2^11 + 1548*T1^6*T2^11 - 2129*T1^7*T2^11 + 
      269*T1^8*T2^11 + 2759*T1^9*T2^11 - 3659*T1^10*T2^11 + 
      2058*T1^11*T2^11 - 307*T1^12*T2^11 + 41*T1^6*T2^12 - 307*T1^7*T2^12 + 
      736*T1^8*T2^12 - 961*T1^9*T2^12 + 736*T1^10*T2^12 - 307*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 627] -> 
  {(1 - 4*T + 12*T^2 - 25*T^3 + 33*T^4 - 25*T^5 + 12*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 48*T1^2 + 100*T1^3 - 132*T1^4 + 100*T1^5 - 48*T1^6 + 
     16*T1^7 - 4*T1^8 + 16*T2 - 52*T1*T2 + 144*T1^2*T2 - 256*T1^3*T2 + 
     228*T1^4*T2 - 4*T1^5*T2 - 108*T1^6*T2 + 80*T1^7*T2 - 32*T1^8*T2 + 
     12*T1^9*T2 - 48*T2^2 + 144*T1*T2^2 - 406*T1^2*T2^2 + 714*T1^3*T2^2 - 
     664*T1^4*T2^2 + 208*T1^5*T2^2 - 160*T1^6*T2^2 + 210*T1^7*T2^2 - 
     142*T1^8*T2^2 + 48*T1^9*T2^2 - 24*T1^10*T2^2 + 100*T2^3 - 256*T1*T2^3 + 
     714*T1^2*T2^3 - 1119*T1^3*T2^3 + 747*T1^4*T2^3 + 152*T1^5*T2^3 + 
     143*T1^6*T2^3 - 252*T1^7*T2^3 + 63*T1^8*T2^3 + 54*T1^9*T2^3 - 
     4*T1^10*T2^3 + 25*T1^11*T2^3 - 132*T2^4 + 228*T1*T2^4 - 664*T1^2*T2^4 + 
     747*T1^3*T2^4 + 65*T1^4*T2^4 - 569*T1^5*T2^4 - 1125*T1^6*T2^4 + 
     859*T1^7*T2^4 + 89*T1^8*T2^4 - 353*T1^9*T2^4 + 120*T1^10*T2^4 - 
     100*T1^11*T2^4 + 100*T2^5 - 4*T1*T2^5 + 208*T1^2*T2^5 + 152*T1^3*T2^5 - 
     569*T1^4*T2^5 - 887*T1^5*T2^5 + 3736*T1^6*T2^5 - 1012*T1^7*T2^5 - 
     1189*T1^8*T2^5 + 802*T1^9*T2^5 + 25*T1^10*T2^5 - 8*T1^11*T2^5 + 
     100*T1^12*T2^5 - 25*T1^13*T2^5 - 48*T2^6 - 108*T1*T2^6 - 160*T1^2*T2^6 + 
     143*T1^3*T2^6 - 1125*T1^4*T2^6 + 3736*T1^5*T2^6 - 3971*T1^6*T2^6 - 
     3273*T1^7*T2^6 + 5053*T1^8*T2^6 - 1896*T1^9*T2^6 - 37*T1^10*T2^6 - 
     25*T1^11*T2^6 - 104*T1^12*T2^6 + 4*T1^13*T2^6 + 24*T1^14*T2^6 + 
     16*T2^7 + 80*T1*T2^7 + 210*T1^2*T2^7 - 252*T1^3*T2^7 + 859*T1^4*T2^7 - 
     1012*T1^5*T2^7 - 3273*T1^6*T2^7 + 10875*T1^7*T2^7 - 7375*T1^8*T2^7 - 
     144*T1^9*T2^7 + 1968*T1^10*T2^7 - 740*T1^11*T2^7 + 343*T1^12*T2^7 - 
     66*T1^13*T2^7 - 48*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 
     142*T1^2*T2^8 + 63*T1^3*T2^8 + 89*T1^4*T2^8 - 1189*T1^5*T2^8 + 
     5053*T1^6*T2^8 - 7375*T1^7*T2^8 - 636*T1^8*T2^8 + 7803*T1^9*T2^8 - 
     5069*T1^10*T2^8 + 1129*T1^11*T2^8 - 135*T1^12*T2^8 - 39*T1^13*T2^8 + 
     146*T1^14*T2^8 + 32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 
     48*T1^2*T2^9 + 54*T1^3*T2^9 - 353*T1^4*T2^9 + 802*T1^5*T2^9 - 
     1896*T1^6*T2^9 - 144*T1^7*T2^9 + 7803*T1^8*T2^9 - 10447*T1^9*T2^9 + 
     2985*T1^10*T2^9 + 1084*T1^11*T2^9 - 797*T1^12*T2^9 + 242*T1^13*T2^9 - 
     222*T1^14*T2^9 - 80*T1^15*T2^9 - 16*T1^16*T2^9 - 24*T1^2*T2^10 - 
     4*T1^3*T2^10 + 120*T1^4*T2^10 + 25*T1^5*T2^10 - 37*T1^6*T2^10 + 
     1968*T1^7*T2^10 - 5069*T1^8*T2^10 + 2985*T1^9*T2^10 + 3955*T1^10*T2^10 - 
     3664*T1^11*T2^10 + 1051*T1^12*T2^10 - 143*T1^13*T2^10 + 
     176*T1^14*T2^10 + 108*T1^15*T2^10 + 48*T1^16*T2^10 + 25*T1^3*T2^11 - 
     100*T1^4*T2^11 - 8*T1^5*T2^11 - 25*T1^6*T2^11 - 740*T1^7*T2^11 + 
     1129*T1^8*T2^11 + 1084*T1^9*T2^11 - 3664*T1^10*T2^11 + 827*T1^11*T2^11 + 
     631*T1^12*T2^11 - 152*T1^13*T2^11 - 224*T1^14*T2^11 + 4*T1^15*T2^11 - 
     100*T1^16*T2^11 + 100*T1^5*T2^12 - 104*T1^6*T2^12 + 343*T1^7*T2^12 - 
     135*T1^8*T2^12 - 797*T1^9*T2^12 + 1051*T1^10*T2^12 + 631*T1^11*T2^12 - 
     111*T1^12*T2^12 - 757*T1^13*T2^12 + 680*T1^14*T2^12 - 228*T1^15*T2^12 + 
     132*T1^16*T2^12 - 25*T1^5*T2^13 + 4*T1^6*T2^13 - 66*T1^7*T2^13 - 
     39*T1^8*T2^13 + 242*T1^9*T2^13 - 143*T1^10*T2^13 - 152*T1^11*T2^13 - 
     757*T1^12*T2^13 + 1143*T1^13*T2^13 - 726*T1^14*T2^13 + 256*T1^15*T2^13 - 
     100*T1^16*T2^13 + 24*T1^6*T2^14 - 48*T1^7*T2^14 + 146*T1^8*T2^14 - 
     222*T1^9*T2^14 + 176*T1^10*T2^14 - 224*T1^11*T2^14 + 680*T1^12*T2^14 - 
     726*T1^13*T2^14 + 410*T1^14*T2^14 - 144*T1^15*T2^14 + 48*T1^16*T2^14 - 
     12*T1^7*T2^15 + 32*T1^8*T2^15 - 80*T1^9*T2^15 + 108*T1^10*T2^15 + 
     4*T1^11*T2^15 - 228*T1^12*T2^15 + 256*T1^13*T2^15 - 144*T1^14*T2^15 + 
     52*T1^15*T2^15 - 16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 
     48*T1^10*T2^16 - 100*T1^11*T2^16 + 132*T1^12*T2^16 - 100*T1^13*T2^16 + 
     48*T1^14*T2^16 - 16*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 628] -> 
  {-(((1 - 3*T + T^2)*(1 - 5*T + 9*T^2 - 5*T^3 + T^4))/T^3), 
   -((-3 + 24*T1 - 75*T1^2 + 111*T1^3 - 75*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      174*T1*T2 + 462*T1^2*T2 - 478*T1^3*T2 + 18*T1^4*T2 + 198*T1^5*T2 - 
      102*T1^6*T2 + 16*T1^7*T2 - 75*T2^2 + 462*T1*T2^2 - 839*T1^2*T2^2 - 
      200*T1^3*T2^2 + 2083*T1^4*T2^2 - 1650*T1^5*T2^2 + 361*T1^6*T2^2 + 
      62*T1^7*T2^2 - 25*T1^8*T2^2 + 111*T2^3 - 478*T1*T2^3 - 200*T1^2*T2^3 + 
      3935*T1^3*T2^3 - 6572*T1^4*T2^3 + 2165*T1^5*T2^3 + 1553*T1^6*T2^3 - 
      1175*T1^7*T2^3 + 210*T1^8*T2^3 - 75*T2^4 + 18*T1*T2^4 + 
      2083*T1^2*T2^4 - 6572*T1^3*T2^4 + 5056*T1^4*T2^4 + 6066*T1^5*T2^4 - 
      9712*T1^6*T2^4 + 3936*T1^7*T2^4 - 153*T1^8*T2^4 - 190*T1^9*T2^4 + 
      25*T1^10*T2^4 + 24*T2^5 + 198*T1*T2^5 - 1650*T1^2*T2^5 + 
      2165*T1^3*T2^5 + 6066*T1^4*T2^5 - 19899*T1^5*T2^5 + 18011*T1^6*T2^5 - 
      2659*T1^7*T2^5 - 3030*T1^8*T2^5 + 1225*T1^9*T2^5 - 82*T1^10*T2^5 - 
      16*T1^11*T2^5 - 3*T2^6 - 102*T1*T2^6 + 361*T1^2*T2^6 + 1553*T1^3*T2^6 - 
      9712*T1^4*T2^6 + 18011*T1^5*T2^6 - 8316*T1^6*T2^6 - 12143*T1^7*T2^6 + 
      10966*T1^8*T2^6 - 2269*T1^9*T2^6 - 287*T1^10*T2^6 + 106*T1^11*T2^6 + 
      3*T1^12*T2^6 + 16*T1*T2^7 + 62*T1^2*T2^7 - 1175*T1^3*T2^7 + 
      3936*T1^4*T2^7 - 2659*T1^5*T2^7 - 12143*T1^6*T2^7 + 25767*T1^7*T2^7 - 
      11384*T1^8*T2^7 - 1259*T1^9*T2^7 + 1700*T1^10*T2^7 - 218*T1^11*T2^7 - 
      24*T1^12*T2^7 - 25*T1^2*T2^8 + 210*T1^3*T2^8 - 153*T1^4*T2^8 - 
      3030*T1^5*T2^8 + 10966*T1^6*T2^8 - 11384*T1^7*T2^8 - 3802*T1^8*T2^8 + 
      7478*T1^9*T2^8 - 2389*T1^10*T2^8 + 2*T1^11*T2^8 + 75*T1^12*T2^8 - 
      190*T1^4*T2^9 + 1225*T1^5*T2^9 - 2269*T1^6*T2^9 - 1259*T1^7*T2^9 + 
      7478*T1^8*T2^9 - 4651*T1^9*T2^9 + 250*T1^10*T2^9 + 498*T1^11*T2^9 - 
      111*T1^12*T2^9 + 25*T1^4*T2^10 - 82*T1^5*T2^10 - 287*T1^6*T2^10 + 
      1700*T1^7*T2^10 - 2389*T1^8*T2^10 + 250*T1^9*T2^10 + 913*T1^10*T2^10 - 
      482*T1^11*T2^10 + 75*T1^12*T2^10 - 16*T1^5*T2^11 + 106*T1^6*T2^11 - 
      218*T1^7*T2^11 + 2*T1^8*T2^11 + 498*T1^9*T2^11 - 482*T1^10*T2^11 + 
      178*T1^11*T2^11 - 24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 
      75*T1^8*T2^12 - 111*T1^9*T2^12 + 75*T1^10*T2^12 - 24*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 629] -> 
  {(1 - 4*T + 6*T^2 - 5*T^3 + 6*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 12*T1^2 + 10*T1^3 - 12*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 32*T1^2*T2 - 16*T1^3*T2 + 28*T1^4*T2 - 8*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 12*T2^2 + 32*T1*T2^2 - 6*T1^2*T2^2 - 
     42*T1^3*T2^2 + 16*T1^4*T2^2 - 54*T1^5*T2^2 + 54*T1^6*T2^2 - 
     16*T1^7*T2^2 + 10*T2^3 - 16*T1*T2^3 - 42*T1^2*T2^3 + 101*T1^3*T2^3 - 
     41*T1^4*T2^3 + 73*T1^5*T2^3 - 49*T1^6*T2^3 - 12*T1^7*T2^3 + 
     20*T1^8*T2^3 - 5*T1^9*T2^3 - 12*T2^4 + 28*T1*T2^4 + 16*T1^2*T2^4 - 
     41*T1^3*T2^4 - 49*T1^4*T2^4 - 45*T1^5*T2^4 + 31*T1^6*T2^4 + 
     39*T1^7*T2^4 - 28*T1^9*T2^4 + 12*T1^10*T2^4 + 8*T2^5 - 8*T1*T2^5 - 
     54*T1^2*T2^5 + 73*T1^3*T2^5 - 45*T1^4*T2^5 + 214*T1^5*T2^5 - 
     76*T1^6*T2^5 - 33*T1^7*T2^5 - 109*T1^8*T2^5 + 84*T1^9*T2^5 - 
     12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 54*T1^2*T2^6 - 49*T1^3*T2^6 + 
     31*T1^4*T2^6 - 76*T1^5*T2^6 - 156*T1^6*T2^6 + 148*T1^7*T2^6 + 
     107*T1^8*T2^6 + 17*T1^9*T2^6 - 94*T1^10*T2^6 + 32*T1^11*T2^6 + 
     4*T1^12*T2^6 + 4*T1*T2^7 - 16*T1^2*T2^7 - 12*T1^3*T2^7 + 39*T1^4*T2^7 - 
     33*T1^5*T2^7 + 148*T1^6*T2^7 - 142*T1^7*T2^7 - 21*T1^8*T2^7 - 
     143*T1^9*T2^7 + 126*T1^10*T2^7 - 8*T1^11*T2^7 - 16*T1^12*T2^7 + 
     20*T1^3*T2^8 - 109*T1^5*T2^8 + 107*T1^6*T2^8 - 21*T1^7*T2^8 + 
     187*T1^8*T2^8 - 29*T1^9*T2^8 - 16*T1^10*T2^8 - 36*T1^11*T2^8 + 
     24*T1^12*T2^8 - 5*T1^3*T2^9 - 28*T1^4*T2^9 + 84*T1^5*T2^9 + 
     17*T1^6*T2^9 - 143*T1^7*T2^9 - 29*T1^8*T2^9 - 133*T1^9*T2^9 + 
     114*T1^10*T2^9 + 8*T1^11*T2^9 - 20*T1^12*T2^9 + 12*T1^4*T2^10 - 
     94*T1^6*T2^10 + 126*T1^7*T2^10 - 16*T1^8*T2^10 + 114*T1^9*T2^10 - 
     34*T1^10*T2^10 - 48*T1^11*T2^10 + 24*T1^12*T2^10 - 12*T1^5*T2^11 + 
     32*T1^6*T2^11 - 8*T1^7*T2^11 - 36*T1^8*T2^11 + 8*T1^9*T2^11 - 
     48*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 4*T1^6*T2^12 - 
     16*T1^7*T2^12 + 24*T1^8*T2^12 - 20*T1^9*T2^12 + 24*T1^10*T2^12 - 
     16*T1^11*T2^12 + 4*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 630] -> 
  {((1 - 3*T + T^2)*(1 - T - T^2 - T^3 + T^4))/T^3, 
   (-4 + 16*T1 - 12*T1^2 - 4*T1^3 - 12*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 52*T1^3*T2 + 60*T1^4*T2 - 28*T1^5*T2 - 32*T1^6*T2 + 
     12*T1^7*T2 - 12*T2^2 + 149*T1^2*T2^2 - 123*T1^3*T2^2 - 119*T1^4*T2^2 - 
     93*T1^5*T2^2 + 161*T1^6*T2^2 - 24*T1^7*T2^2 - 6*T1^8*T2^2 - 4*T2^3 + 
     52*T1*T2^3 - 123*T1^2*T2^3 - 35*T1^3*T2^3 + 133*T1^4*T2^3 + 
     178*T1^5*T2^3 - 119*T1^6*T2^3 - 54*T1^7*T2^3 + 28*T1^8*T2^3 - 
     T1^9*T2^3 - 12*T2^4 + 60*T1*T2^4 - 119*T1^2*T2^4 + 133*T1^3*T2^4 - 
     42*T1^4*T2^4 - 30*T1^5*T2^4 - 58*T1^6*T2^4 + 129*T1^7*T2^4 - 
     51*T1^8*T2^4 + 4*T1^9*T2^4 + 16*T2^5 - 28*T1*T2^5 - 93*T1^2*T2^5 + 
     178*T1^3*T2^5 - 30*T1^4*T2^5 + 43*T1^5*T2^5 - 115*T1^6*T2^5 - 
     69*T1^7*T2^5 + 35*T1^8*T2^5 - 6*T1^9*T2^5 + 16*T1^10*T2^5 - 
     4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 + 161*T1^2*T2^6 - 119*T1^3*T2^6 - 
     58*T1^4*T2^6 - 115*T1^5*T2^6 + 156*T1^6*T2^6 + 79*T1^7*T2^6 + 
     60*T1^8*T2^6 + 7*T1^9*T2^6 - 59*T1^10*T2^6 + 8*T1^11*T2^6 + 
     2*T1^12*T2^6 + 12*T1*T2^7 - 24*T1^2*T2^7 - 54*T1^3*T2^7 + 
     129*T1^4*T2^7 - 69*T1^5*T2^7 + 79*T1^6*T2^7 - 79*T1^7*T2^7 - 
     108*T1^8*T2^7 - 14*T1^9*T2^7 + 33*T1^10*T2^7 + 20*T1^11*T2^7 - 
     8*T1^12*T2^7 - 6*T1^2*T2^8 + 28*T1^3*T2^8 - 51*T1^4*T2^8 + 
     35*T1^5*T2^8 + 60*T1^6*T2^8 - 108*T1^7*T2^8 + 44*T1^8*T2^8 + 
     31*T1^9*T2^8 + 17*T1^10*T2^8 - 28*T1^11*T2^8 + 6*T1^12*T2^8 - 
     T1^3*T2^9 + 4*T1^4*T2^9 - 6*T1^5*T2^9 + 7*T1^6*T2^9 - 14*T1^7*T2^9 + 
     31*T1^8*T2^9 - 77*T1^9*T2^9 + 63*T1^10*T2^9 - 20*T1^11*T2^9 + 
     2*T1^12*T2^9 + 16*T1^5*T2^10 - 59*T1^6*T2^10 + 33*T1^7*T2^10 + 
     17*T1^8*T2^10 + 63*T1^9*T2^10 - 47*T1^10*T2^10 - 8*T1^11*T2^10 + 
     6*T1^12*T2^10 - 4*T1^5*T2^11 + 8*T1^6*T2^11 + 20*T1^7*T2^11 - 
     28*T1^8*T2^11 - 20*T1^9*T2^11 - 8*T1^10*T2^11 + 28*T1^11*T2^11 - 
     8*T1^12*T2^11 + 2*T1^6*T2^12 - 8*T1^7*T2^12 + 6*T1^8*T2^12 + 
     2*T1^9*T2^12 + 6*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 631] -> 
  {-((1 - 6*T + 19*T^2 - 29*T^3 + 19*T^4 - 6*T^5 + T^6)/T^3), 
   -((-3 + 18*T1 - 57*T1^2 + 87*T1^3 - 57*T1^4 + 18*T1^5 - 3*T1^6 + 18*T2 - 
      96*T1*T2 + 272*T1^2*T2 - 297*T1^3*T2 - 9*T1^4*T2 + 122*T1^5*T2 - 
      54*T1^6*T2 + 12*T1^7*T2 - 57*T2^2 + 272*T1*T2^2 - 706*T1^2*T2^2 + 
      464*T1^3*T2^2 + 612*T1^4*T2^2 - 410*T1^5*T2^2 - 22*T1^6*T2^2 + 
      44*T1^7*T2^2 - 19*T1^8*T2^2 + 87*T2^3 - 297*T1*T2^3 + 464*T1^2*T2^3 + 
      1133*T1^3*T2^3 - 2948*T1^4*T2^3 + 349*T1^5*T2^3 + 893*T1^6*T2^3 - 
      391*T1^7*T2^3 + 111*T1^8*T2^3 - 57*T2^4 - 9*T1*T2^4 + 612*T1^2*T2^4 - 
      2948*T1^3*T2^4 + 2019*T1^4*T2^4 + 5293*T1^5*T2^4 - 4617*T1^6*T2^4 + 
      1112*T1^7*T2^4 - 32*T1^8*T2^4 - 117*T1^9*T2^4 + 19*T1^10*T2^4 + 
      18*T2^5 + 122*T1*T2^5 - 410*T1^2*T2^5 + 349*T1^3*T2^5 + 
      5293*T1^4*T2^5 - 12711*T1^5*T2^5 + 5397*T1^6*T2^5 + 1208*T1^7*T2^5 - 
      1422*T1^8*T2^5 + 521*T1^9*T2^5 - 40*T1^10*T2^5 - 12*T1^11*T2^5 - 
      3*T2^6 - 54*T1*T2^6 - 22*T1^2*T2^6 + 893*T1^3*T2^6 - 4617*T1^4*T2^6 + 
      5397*T1^5*T2^6 + 4872*T1^6*T2^6 - 8653*T1^7*T2^6 + 4317*T1^8*T2^6 - 
      877*T1^9*T2^6 - 50*T1^10*T2^6 + 54*T1^11*T2^6 + 3*T1^12*T2^6 + 
      12*T1*T2^7 + 44*T1^2*T2^7 - 391*T1^3*T2^7 + 1112*T1^4*T2^7 + 
      1208*T1^5*T2^7 - 8653*T1^6*T2^7 + 9455*T1^7*T2^7 - 2877*T1^8*T2^7 - 
      659*T1^9*T2^7 + 540*T1^10*T2^7 - 118*T1^11*T2^7 - 18*T1^12*T2^7 - 
      19*T1^2*T2^8 + 111*T1^3*T2^8 - 32*T1^4*T2^8 - 1422*T1^5*T2^8 + 
      4317*T1^6*T2^8 - 2877*T1^7*T2^8 - 2319*T1^8*T2^8 + 2638*T1^9*T2^8 - 
      676*T1^10*T2^8 + 3*T1^11*T2^8 + 57*T1^12*T2^8 - 117*T1^4*T2^9 + 
      521*T1^5*T2^9 - 877*T1^6*T2^9 - 659*T1^7*T2^9 + 2638*T1^8*T2^9 - 
      1117*T1^9*T2^9 - 334*T1^10*T2^9 + 291*T1^11*T2^9 - 87*T1^12*T2^9 + 
      19*T1^4*T2^10 - 40*T1^5*T2^10 - 50*T1^6*T2^10 + 540*T1^7*T2^10 - 
      676*T1^8*T2^10 - 334*T1^9*T2^10 + 634*T1^10*T2^10 - 268*T1^11*T2^10 + 
      57*T1^12*T2^10 - 12*T1^5*T2^11 + 54*T1^6*T2^11 - 118*T1^7*T2^11 + 
      3*T1^8*T2^11 + 291*T1^9*T2^11 - 268*T1^10*T2^11 + 96*T1^11*T2^11 - 
      18*T1^12*T2^11 + 3*T1^6*T2^12 - 18*T1^7*T2^12 + 57*T1^8*T2^12 - 
      87*T1^9*T2^12 + 57*T1^10*T2^12 - 18*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 632] -> 
  {-((1 - 7*T + 19*T^2 - 30*T^3 + 33*T^4 - 30*T^5 + 19*T^6 - 7*T^7 + T^8)/
     T^4), -((-3 + 21*T1 - 57*T1^2 + 90*T1^3 - 99*T1^4 + 90*T1^5 - 57*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 301*T1^2*T2 - 364*T1^3*T2 + 
      273*T1^4*T2 - 168*T1^5*T2 - 21*T1^6*T2 + 119*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 57*T2^2 + 301*T1*T2^2 - 416*T1^2*T2^2 - 19*T1^3*T2^2 + 
      701*T1^4*T2^2 - 960*T1^5*T2^2 + 1233*T1^6*T2^2 - 893*T1^7*T2^2 + 
      268*T1^8*T2^2 + 35*T1^9*T2^2 - 19*T1^10*T2^2 + 90*T2^3 - 364*T1*T2^3 - 
      19*T1^2*T2^3 + 1417*T1^3*T2^3 - 2471*T1^4*T2^3 + 2080*T1^5*T2^3 - 
      1889*T1^6*T2^3 + 446*T1^7*T2^3 + 749*T1^8*T2^3 - 665*T1^9*T2^3 + 
      133*T1^10*T2^3 - 99*T2^4 + 273*T1*T2^4 + 701*T1^2*T2^4 - 
      2471*T1^3*T2^4 + 2513*T1^4*T2^4 - 426*T1^5*T2^4 - 287*T1^6*T2^4 + 
      2418*T1^7*T2^4 - 2923*T1^8*T2^4 + 1129*T1^9*T2^4 + 269*T1^10*T2^4 - 
      231*T1^11*T2^4 + 33*T1^12*T2^4 + 90*T2^5 - 168*T1*T2^5 - 
      960*T1^2*T2^5 + 2080*T1^3*T2^5 - 426*T1^4*T2^5 - 2539*T1^5*T2^5 + 
      2251*T1^6*T2^5 - 3602*T1^7*T2^5 + 2321*T1^8*T2^5 + 1287*T1^9*T2^5 - 
      2027*T1^10*T2^5 + 471*T1^11*T2^5 + 189*T1^12*T2^5 - 60*T1^13*T2^5 - 
      57*T2^6 - 21*T1*T2^6 + 1233*T1^2*T2^6 - 1889*T1^3*T2^6 - 
      287*T1^4*T2^6 + 2251*T1^5*T2^6 - 609*T1^6*T2^6 + 1971*T1^7*T2^6 - 
      321*T1^8*T2^6 - 3131*T1^9*T2^6 + 847*T1^10*T2^6 + 1873*T1^11*T2^6 - 
      1227*T1^12*T2^6 + 21*T1^13*T2^6 + 57*T1^14*T2^6 + 21*T2^7 + 
      119*T1*T2^7 - 893*T1^2*T2^7 + 446*T1^3*T2^7 + 2418*T1^4*T2^7 - 
      3602*T1^5*T2^7 + 1971*T1^6*T2^7 - 3404*T1^7*T2^7 + 1118*T1^8*T2^7 + 
      1765*T1^9*T2^7 + 3193*T1^10*T2^7 - 3819*T1^11*T2^7 + 261*T1^12*T2^7 + 
      1121*T1^13*T2^7 - 203*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 
      77*T1*T2^8 + 268*T1^2*T2^8 + 749*T1^3*T2^8 - 2923*T1^4*T2^8 + 
      2321*T1^5*T2^8 - 321*T1^6*T2^8 + 1118*T1^7*T2^8 + 456*T1^8*T2^8 - 
      1658*T1^9*T2^8 - 4181*T1^10*T2^8 + 863*T1^11*T2^8 + 3357*T1^12*T2^8 - 
      2213*T1^13*T2^8 - 194*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 35*T1^2*T2^9 - 665*T1^3*T2^9 + 1129*T1^4*T2^9 + 
      1287*T1^5*T2^9 - 3131*T1^6*T2^9 + 1765*T1^7*T2^9 - 1658*T1^8*T2^9 + 
      2864*T1^9*T2^9 + 1559*T1^10*T2^9 + 3664*T1^11*T2^9 - 4950*T1^12*T2^9 + 
      944*T1^13*T2^9 + 1349*T1^14*T2^9 - 287*T1^15*T2^9 - 35*T1^16*T2^9 - 
      19*T1^2*T2^10 + 133*T1^3*T2^10 + 269*T1^4*T2^10 - 2027*T1^5*T2^10 + 
      847*T1^6*T2^10 + 3193*T1^7*T2^10 - 4181*T1^8*T2^10 + 1559*T1^9*T2^10 - 
      3893*T1^10*T2^10 - 2189*T1^11*T2^10 + 1981*T1^12*T2^10 + 
      1735*T1^13*T2^10 - 2191*T1^14*T2^10 + 175*T1^15*T2^10 + 
      95*T1^16*T2^10 - 231*T1^4*T2^11 + 471*T1^5*T2^11 + 1873*T1^6*T2^11 - 
      3819*T1^7*T2^11 + 863*T1^8*T2^11 + 3664*T1^9*T2^11 - 2189*T1^10*T2^11 + 
      5723*T1^11*T2^11 - 2106*T1^12*T2^11 - 2234*T1^13*T2^11 + 
      1902*T1^14*T2^11 + 126*T1^15*T2^11 - 150*T1^16*T2^11 + 33*T1^4*T2^12 + 
      189*T1^5*T2^12 - 1227*T1^6*T2^12 + 261*T1^7*T2^12 + 3357*T1^8*T2^12 - 
      4950*T1^9*T2^12 + 1981*T1^10*T2^12 - 2106*T1^11*T2^12 - 
      2079*T1^12*T2^12 + 3861*T1^13*T2^12 - 1659*T1^14*T2^12 - 
      315*T1^15*T2^12 + 165*T1^16*T2^12 - 60*T1^5*T2^13 + 21*T1^6*T2^13 + 
      1121*T1^7*T2^13 - 2213*T1^8*T2^13 + 944*T1^9*T2^13 + 1735*T1^10*T2^13 - 
      2234*T1^11*T2^13 + 3861*T1^12*T2^13 - 2881*T1^13*T2^13 + 
      475*T1^14*T2^13 + 518*T1^15*T2^13 - 150*T1^16*T2^13 + 57*T1^6*T2^14 - 
      203*T1^7*T2^14 - 194*T1^8*T2^14 + 1349*T1^9*T2^14 - 2191*T1^10*T2^14 + 
      1902*T1^11*T2^14 - 1659*T1^12*T2^14 + 475*T1^13*T2^14 + 
      490*T1^14*T2^14 - 469*T1^15*T2^14 + 95*T1^16*T2^14 - 28*T1^7*T2^15 + 
      161*T1^8*T2^15 - 287*T1^9*T2^15 + 175*T1^10*T2^15 + 126*T1^11*T2^15 - 
      315*T1^12*T2^15 + 518*T1^13*T2^15 - 469*T1^14*T2^15 + 217*T1^15*T2^15 - 
      35*T1^16*T2^15 + 5*T1^8*T2^16 - 35*T1^9*T2^16 + 95*T1^10*T2^16 - 
      150*T1^11*T2^16 + 165*T1^12*T2^16 - 150*T1^13*T2^16 + 95*T1^14*T2^16 - 
      35*T1^15*T2^16 + 5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 633] -> 
  {-((2 - 10*T + 22*T^2 - 29*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-23 + 114*T1 - 250*T1^2 + 329*T1^3 - 250*T1^4 + 114*T1^5 - 23*T1^6 + 
      114*T2 - 492*T1*T2 + 877*T1^2*T2 - 833*T1^3*T2 + 187*T1^4*T2 + 
      237*T1^5*T2 - 252*T1^6*T2 + 74*T1^7*T2 - 250*T2^2 + 877*T1*T2^2 - 
      1001*T1^2*T2^2 + 2*T1^3*T2^2 + 1675*T1^4*T2^2 - 1670*T1^5*T2^2 + 
      759*T1^6*T2^2 - 3*T1^7*T2^2 - 74*T1^8*T2^2 + 329*T2^3 - 833*T1*T2^3 + 
      2*T1^2*T2^3 + 2166*T1^3*T2^3 - 3874*T1^4*T2^3 + 1778*T1^5*T2^3 + 
      520*T1^6*T2^3 - 1186*T1^7*T2^3 + 467*T1^8*T2^3 - 19*T1^9*T2^3 - 
      250*T2^4 + 187*T1*T2^4 + 1675*T1^2*T2^4 - 3874*T1^3*T2^4 + 
      3409*T1^4*T2^4 + 1657*T1^5*T2^4 - 4091*T1^6*T2^4 + 2622*T1^7*T2^4 - 
      253*T1^8*T2^4 - 413*T1^9*T2^4 + 102*T1^10*T2^4 + 114*T2^5 + 
      237*T1*T2^5 - 1670*T1^2*T2^5 + 1778*T1^3*T2^5 + 1657*T1^4*T2^5 - 
      6816*T1^5*T2^5 + 5802*T1^6*T2^5 - 499*T1^7*T2^5 - 2186*T1^8*T2^5 + 
      1454*T1^9*T2^5 - 83*T1^10*T2^5 - 86*T1^11*T2^5 - 23*T2^6 - 
      252*T1*T2^6 + 759*T1^2*T2^6 + 520*T1^3*T2^6 - 4091*T1^4*T2^6 + 
      5802*T1^5*T2^6 - 1248*T1^6*T2^6 - 4830*T1^7*T2^6 + 4197*T1^8*T2^6 - 
      1056*T1^9*T2^6 - 777*T1^10*T2^6 + 308*T1^11*T2^6 + 25*T1^12*T2^6 + 
      74*T1*T2^7 - 3*T1^2*T2^7 - 1186*T1^3*T2^7 + 2622*T1^4*T2^7 - 
      499*T1^5*T2^7 - 4830*T1^6*T2^7 + 7788*T1^7*T2^7 - 2655*T1^8*T2^7 - 
      1342*T1^9*T2^7 + 1938*T1^10*T2^7 - 323*T1^11*T2^7 - 126*T1^12*T2^7 - 
      74*T1^2*T2^8 + 467*T1^3*T2^8 - 253*T1^4*T2^8 - 2186*T1^5*T2^8 + 
      4197*T1^6*T2^8 - 2655*T1^7*T2^8 - 3303*T1^8*T2^8 + 4310*T1^9*T2^8 - 
      2181*T1^10*T2^8 - 133*T1^11*T2^8 + 278*T1^12*T2^8 - 19*T1^3*T2^9 - 
      413*T1^4*T2^9 + 1454*T1^5*T2^9 - 1056*T1^6*T2^9 - 1342*T1^7*T2^9 + 
      4310*T1^8*T2^9 - 2702*T1^9*T2^9 + 266*T1^10*T2^9 + 887*T1^11*T2^9 - 
      367*T1^12*T2^9 + 102*T1^4*T2^10 - 83*T1^5*T2^10 - 777*T1^6*T2^10 + 
      1938*T1^7*T2^10 - 2181*T1^8*T2^10 + 266*T1^9*T2^10 + 983*T1^10*T2^10 - 
      963*T1^11*T2^10 + 278*T1^12*T2^10 - 86*T1^5*T2^11 + 308*T1^6*T2^11 - 
      323*T1^7*T2^11 - 133*T1^8*T2^11 + 887*T1^9*T2^11 - 963*T1^10*T2^11 + 
      548*T1^11*T2^11 - 126*T1^12*T2^11 + 25*T1^6*T2^12 - 126*T1^7*T2^12 + 
      278*T1^8*T2^12 - 367*T1^9*T2^12 + 278*T1^10*T2^12 - 126*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 634] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 11*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 44*T1^2 + 52*T1^3 - 44*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 145*T1^2*T2 - 96*T1^3*T2 + 24*T1^4*T2 + 65*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 44*T2^2 + 145*T1*T2^2 - 132*T1^2*T2^2 - 
     134*T1^3*T2^2 + 256*T1^4*T2^2 - 310*T1^5*T2^2 + 88*T1^6*T2^2 + 
     35*T1^7*T2^2 - 22*T1^8*T2^2 + 52*T2^3 - 96*T1*T2^3 - 134*T1^2*T2^3 + 
     576*T1^3*T2^3 - 464*T1^4*T2^3 + 232*T1^5*T2^3 + 242*T1^6*T2^3 - 
     233*T1^7*T2^3 + 44*T1^8*T2^3 + 13*T1^9*T2^3 - 44*T2^4 + 24*T1*T2^4 + 
     256*T1^2*T2^4 - 464*T1^3*T2^4 - 135*T1^4*T2^4 + 561*T1^5*T2^4 - 
     735*T1^6*T2^4 + 264*T1^7*T2^4 + 90*T1^8*T2^4 - 66*T1^9*T2^4 + 20*T2^5 + 
     65*T1*T2^5 - 310*T1^2*T2^5 + 232*T1^3*T2^5 + 561*T1^4*T2^5 - 
     731*T1^5*T2^5 + 211*T1^6*T2^5 + 308*T1^7*T2^5 - 400*T1^8*T2^5 + 
     97*T1^9*T2^5 + 25*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 + 
     88*T1^2*T2^6 + 242*T1^3*T2^6 - 735*T1^4*T2^6 + 211*T1^5*T2^6 + 
     780*T1^6*T2^6 - 755*T1^7*T2^6 + 451*T1^8*T2^6 + 54*T1^9*T2^6 - 
     104*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     35*T1^2*T2^7 - 233*T1^3*T2^7 + 264*T1^4*T2^7 + 308*T1^5*T2^7 - 
     755*T1^6*T2^7 + 187*T1^7*T2^7 + 55*T1^8*T2^7 - 368*T1^9*T2^7 + 
     174*T1^10*T2^7 - 5*T1^11*T2^7 - 10*T1^12*T2^7 - 22*T1^2*T2^8 + 
     44*T1^3*T2^8 + 90*T1^4*T2^8 - 400*T1^5*T2^8 + 451*T1^6*T2^8 + 
     55*T1^7*T2^8 - 149*T1^8*T2^8 + 328*T1^9*T2^8 - 76*T1^10*T2^8 - 
     46*T1^11*T2^8 + 22*T1^12*T2^8 + 13*T1^3*T2^9 - 66*T1^4*T2^9 + 
     97*T1^5*T2^9 + 54*T1^6*T2^9 - 368*T1^7*T2^9 + 328*T1^8*T2^9 - 
     280*T1^9*T2^9 - 2*T1^10*T2^9 + 74*T1^11*T2^9 - 26*T1^12*T2^9 + 
     25*T1^5*T2^10 - 104*T1^6*T2^10 + 174*T1^7*T2^10 - 76*T1^8*T2^10 - 
     2*T1^9*T2^10 + 116*T1^10*T2^10 - 85*T1^11*T2^10 + 22*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 5*T1^7*T2^11 - 46*T1^8*T2^11 + 
     74*T1^9*T2^11 - 85*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 22*T1^8*T2^12 - 26*T1^9*T2^12 + 
     22*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 635] -> 
  {(1 - 7*T + 19*T^2 - 32*T^3 + 39*T^4 - 32*T^5 + 19*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 76*T1^2 + 128*T1^3 - 156*T1^4 + 128*T1^5 - 76*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 385*T1^2*T2 - 497*T1^3*T2 + 
     420*T1^4*T2 - 77*T1^5*T2 - 140*T1^6*T2 + 203*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 76*T2^2 + 385*T1*T2^2 - 453*T1^2*T2^2 - 93*T1^3*T2^2 + 
     1011*T1^4*T2^2 - 2075*T1^5*T2^2 + 1771*T1^6*T2^2 - 1043*T1^7*T2^2 + 
     231*T1^8*T2^2 + 119*T1^9*T2^2 - 38*T1^10*T2^2 + 128*T2^3 - 497*T1*T2^3 - 
     93*T1^2*T2^3 + 1653*T1^3*T2^3 - 2953*T1^4*T2^3 + 3565*T1^5*T2^3 - 
     982*T1^6*T2^3 - 586*T1^7*T2^3 + 1363*T1^8*T2^3 - 853*T1^9*T2^3 + 
     42*T1^10*T2^3 + 32*T1^11*T2^3 - 156*T2^4 + 420*T1*T2^4 + 
     1011*T1^2*T2^4 - 2953*T1^3*T2^4 + 3256*T1^4*T2^4 - 2166*T1^5*T2^4 - 
     2740*T1^6*T2^4 + 2894*T1^7*T2^4 - 2016*T1^8*T2^4 + 119*T1^9*T2^4 + 
     839*T1^10*T2^4 - 224*T1^11*T2^4 + 128*T2^5 - 77*T1*T2^5 - 
     2075*T1^2*T2^5 + 3565*T1^3*T2^5 - 2166*T1^4*T2^5 - 153*T1^5*T2^5 + 
     4683*T1^6*T2^5 - 876*T1^7*T2^5 - 1539*T1^8*T2^5 + 2813*T1^9*T2^5 - 
     2012*T1^10*T2^5 + 10*T1^11*T2^5 + 224*T1^12*T2^5 - 32*T1^13*T2^5 - 
     76*T2^6 - 140*T1*T2^6 + 1771*T1^2*T2^6 - 982*T1^3*T2^6 - 
     2740*T1^4*T2^6 + 4683*T1^5*T2^6 - 5524*T1^6*T2^6 - 2048*T1^7*T2^6 + 
     3768*T1^8*T2^6 - 1967*T1^9*T2^6 - 290*T1^10*T2^6 + 2020*T1^11*T2^6 - 
     853*T1^12*T2^6 - 42*T1^13*T2^6 + 38*T1^14*T2^6 + 28*T2^7 + 203*T1*T2^7 - 
     1043*T1^2*T2^7 - 586*T1^3*T2^7 + 2894*T1^4*T2^7 - 876*T1^5*T2^7 - 
     2048*T1^6*T2^7 + 7758*T1^7*T2^7 - 4724*T1^8*T2^7 - 1290*T1^9*T2^7 + 
     2501*T1^10*T2^7 - 2409*T1^11*T2^7 - 133*T1^12*T2^7 + 857*T1^13*T2^7 - 
     119*T1^14*T2^7 - 21*T1^15*T2^7 - 4*T2^8 - 119*T1*T2^8 + 231*T1^2*T2^8 + 
     1363*T1^3*T2^8 - 2016*T1^4*T2^8 - 1539*T1^5*T2^8 + 3768*T1^6*T2^8 - 
     4724*T1^7*T2^8 - 180*T1^8*T2^8 + 5372*T1^9*T2^8 - 1816*T1^10*T2^8 + 
     327*T1^11*T2^8 + 1988*T1^12*T2^8 - 1367*T1^13*T2^8 - 231*T1^14*T2^8 + 
     119*T1^15*T2^8 + 4*T1^16*T2^8 + 21*T1*T2^9 + 119*T1^2*T2^9 - 
     853*T1^3*T2^9 + 119*T1^4*T2^9 + 2813*T1^5*T2^9 - 1967*T1^6*T2^9 - 
     1290*T1^7*T2^9 + 5372*T1^8*T2^9 - 7110*T1^9*T2^9 - 532*T1^10*T2^9 + 
     1410*T1^11*T2^9 - 2490*T1^12*T2^9 + 572*T1^13*T2^9 + 1047*T1^14*T2^9 - 
     203*T1^15*T2^9 - 28*T1^16*T2^9 - 38*T1^2*T2^10 + 42*T1^3*T2^10 + 
     839*T1^4*T2^10 - 2012*T1^5*T2^10 - 290*T1^6*T2^10 + 2501*T1^7*T2^10 - 
     1816*T1^8*T2^10 - 532*T1^9*T2^10 + 7476*T1^10*T2^10 - 4149*T1^11*T2^10 + 
     2160*T1^12*T2^10 + 990*T1^13*T2^10 - 1785*T1^14*T2^10 + 
     140*T1^15*T2^10 + 76*T1^16*T2^10 + 32*T1^3*T2^11 - 224*T1^4*T2^11 + 
     10*T1^5*T2^11 + 2020*T1^6*T2^11 - 2409*T1^7*T2^11 + 327*T1^8*T2^11 + 
     1410*T1^9*T2^11 - 4149*T1^10*T2^11 - 1059*T1^11*T2^11 + 
     2570*T1^12*T2^11 - 3557*T1^13*T2^11 + 2095*T1^14*T2^11 + 
     77*T1^15*T2^11 - 128*T1^16*T2^11 + 224*T1^5*T2^12 - 853*T1^6*T2^12 - 
     133*T1^7*T2^12 + 1988*T1^8*T2^12 - 2490*T1^9*T2^12 + 2160*T1^10*T2^12 + 
     2570*T1^11*T2^12 - 3284*T1^12*T2^12 + 2939*T1^13*T2^12 - 
     1025*T1^14*T2^12 - 420*T1^15*T2^12 + 156*T1^16*T2^12 - 32*T1^5*T2^13 - 
     42*T1^6*T2^13 + 857*T1^7*T2^13 - 1367*T1^8*T2^13 + 572*T1^9*T2^13 + 
     990*T1^10*T2^13 - 3557*T1^11*T2^13 + 2939*T1^12*T2^13 - 
     1657*T1^13*T2^13 + 97*T1^14*T2^13 + 497*T1^15*T2^13 - 128*T1^16*T2^13 + 
     38*T1^6*T2^14 - 119*T1^7*T2^14 - 231*T1^8*T2^14 + 1047*T1^9*T2^14 - 
     1785*T1^10*T2^14 + 2095*T1^11*T2^14 - 1025*T1^12*T2^14 + 
     97*T1^13*T2^14 + 453*T1^14*T2^14 - 385*T1^15*T2^14 + 76*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 203*T1^9*T2^15 + 140*T1^10*T2^15 + 
     77*T1^11*T2^15 - 420*T1^12*T2^15 + 497*T1^13*T2^15 - 385*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     76*T1^10*T2^16 - 128*T1^11*T2^16 + 156*T1^12*T2^16 - 128*T1^13*T2^16 + 
     76*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 636] -> 
  {-(((-1 + 3*T - 4*T^2 + T^3)*(-1 + 4*T - 3*T^2 + T^3))/T^3), 
   -((-3 + 21*T1 - 57*T1^2 + 81*T1^3 - 57*T1^4 + 21*T1^5 - 3*T1^6 + 21*T2 - 
      133*T1*T2 + 301*T1^2*T2 - 302*T1^3*T2 + 20*T1^4*T2 + 119*T1^5*T2 - 
      77*T1^6*T2 + 14*T1^7*T2 - 57*T2^2 + 301*T1*T2^2 - 404*T1^2*T2^2 - 
      232*T1^3*T2^2 + 1292*T1^4*T2^2 - 992*T1^5*T2^2 + 280*T1^6*T2^2 + 
      35*T1^7*T2^2 - 19*T1^8*T2^2 + 81*T2^3 - 302*T1*T2^3 - 232*T1^2*T2^3 + 
      2052*T1^3*T2^3 - 3274*T1^4*T2^3 + 738*T1^5*T2^3 + 862*T1^6*T2^3 - 
      707*T1^7*T2^3 + 132*T1^8*T2^3 - 57*T2^4 + 20*T1*T2^4 + 1292*T1^2*T2^4 - 
      3274*T1^3*T2^4 + 2342*T1^4*T2^4 + 3366*T1^5*T2^4 - 3850*T1^6*T2^4 + 
      1478*T1^7*T2^4 + 90*T1^8*T2^4 - 134*T1^9*T2^4 + 19*T1^10*T2^4 + 
      21*T2^5 + 119*T1*T2^5 - 992*T1^2*T2^5 + 738*T1^3*T2^5 + 
      3366*T1^4*T2^5 - 8843*T1^5*T2^5 + 4661*T1^6*T2^5 + 535*T1^7*T2^5 - 
      1794*T1^8*T2^5 + 623*T1^9*T2^5 - 35*T1^10*T2^5 - 14*T1^11*T2^5 - 
      3*T2^6 - 77*T1*T2^6 + 280*T1^2*T2^6 + 862*T1^3*T2^6 - 3850*T1^4*T2^6 + 
      4661*T1^5*T2^6 + 2436*T1^6*T2^6 - 6293*T1^7*T2^6 + 3968*T1^8*T2^6 - 
      630*T1^9*T2^6 - 256*T1^10*T2^6 + 77*T1^11*T2^6 + 3*T1^12*T2^6 + 
      14*T1*T2^7 + 35*T1^2*T2^7 - 707*T1^3*T2^7 + 1478*T1^4*T2^7 + 
      535*T1^5*T2^7 - 6293*T1^6*T2^7 + 7211*T1^7*T2^7 - 2296*T1^8*T2^7 - 
      1054*T1^9*T2^7 + 908*T1^10*T2^7 - 119*T1^11*T2^7 - 21*T1^12*T2^7 - 
      19*T1^2*T2^8 + 132*T1^3*T2^8 + 90*T1^4*T2^8 - 1794*T1^5*T2^8 + 
      3968*T1^6*T2^8 - 2296*T1^7*T2^8 - 2224*T1^8*T2^8 + 2958*T1^9*T2^8 - 
      1112*T1^10*T2^8 - 22*T1^11*T2^8 + 57*T1^12*T2^8 - 134*T1^4*T2^9 + 
      623*T1^5*T2^9 - 630*T1^6*T2^9 - 1054*T1^7*T2^9 + 2958*T1^8*T2^9 - 
      1820*T1^9*T2^9 + 148*T1^10*T2^9 + 300*T1^11*T2^9 - 81*T1^12*T2^9 + 
      19*T1^4*T2^10 - 35*T1^5*T2^10 - 256*T1^6*T2^10 + 908*T1^7*T2^10 - 
      1112*T1^8*T2^10 + 148*T1^9*T2^10 + 428*T1^10*T2^10 - 301*T1^11*T2^10 + 
      57*T1^12*T2^10 - 14*T1^5*T2^11 + 77*T1^6*T2^11 - 119*T1^7*T2^11 - 
      22*T1^8*T2^11 + 300*T1^9*T2^11 - 301*T1^10*T2^11 + 133*T1^11*T2^11 - 
      21*T1^12*T2^11 + 3*T1^6*T2^12 - 21*T1^7*T2^12 + 57*T1^8*T2^12 - 
      81*T1^9*T2^12 + 57*T1^10*T2^12 - 21*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 637] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (-33 + 215*T1 - 530*T1^2 + 679*T1^3 - 530*T1^4 + 215*T1^5 - 33*T1^6 + 
     215*T2 - 1238*T1*T2 + 2387*T1^2*T2 - 1797*T1^3*T2 + 101*T1^4*T2 + 
     1217*T1^5*T2 - 848*T1^6*T2 + 163*T1^7*T2 - 530*T2^2 + 2387*T1*T2^2 - 
     1833*T1^2*T2^2 - 4412*T1^3*T2^2 + 8927*T1^4*T2^2 - 7996*T1^5*T2^2 + 
     2007*T1^6*T2^2 + 723*T1^7*T2^2 - 274*T1^8*T2^2 + 679*T2^3 - 
     1797*T1*T2^3 - 4412*T1^2*T2^3 + 16632*T1^3*T2^3 - 15380*T1^4*T2^3 + 
     3918*T1^5*T2^3 + 8490*T1^6*T2^3 - 6044*T1^7*T2^3 + 569*T1^8*T2^3 + 
     187*T1^9*T2^3 - 530*T2^4 + 101*T1*T2^4 + 8927*T1^2*T2^4 - 
     15380*T1^3*T2^4 - 2551*T1^4*T2^4 + 20755*T1^5*T2^4 - 24719*T1^6*T2^4 + 
     6104*T1^7*T2^4 + 3261*T1^8*T2^4 - 1095*T1^9*T2^4 - 18*T1^10*T2^4 + 
     215*T2^5 + 1217*T1*T2^5 - 7996*T1^2*T2^5 + 3918*T1^3*T2^5 + 
     20755*T1^4*T2^5 - 27710*T1^5*T2^5 + 13856*T1^6*T2^5 + 11219*T1^7*T2^5 - 
     11008*T1^8*T2^5 + 1444*T1^9*T2^5 + 411*T1^10*T2^5 - 45*T1^11*T2^5 - 
     33*T2^6 - 848*T1*T2^6 + 2007*T1^2*T2^6 + 8490*T1^3*T2^6 - 
     24719*T1^4*T2^6 + 13856*T1^5*T2^6 + 8988*T1^6*T2^6 - 23520*T1^7*T2^6 + 
     9773*T1^8*T2^6 + 2514*T1^9*T2^6 - 1917*T1^10*T2^6 + 192*T1^11*T2^6 + 
     15*T1^12*T2^6 + 163*T1*T2^7 + 723*T1^2*T2^7 - 6044*T1^3*T2^7 + 
     6104*T1^4*T2^7 + 11219*T1^5*T2^7 - 23520*T1^6*T2^7 + 18046*T1^7*T2^7 + 
     1683*T1^8*T2^7 - 8822*T1^9*T2^7 + 3396*T1^10*T2^7 - 83*T1^11*T2^7 - 
     97*T1^12*T2^7 - 274*T1^2*T2^8 + 569*T1^3*T2^8 + 3261*T1^4*T2^8 - 
     11008*T1^5*T2^8 + 9773*T1^6*T2^8 + 1683*T1^7*T2^8 - 12395*T1^8*T2^8 + 
     10476*T1^9*T2^8 - 2405*T1^10*T2^8 - 627*T1^11*T2^8 + 238*T1^12*T2^8 + 
     187*T1^3*T2^9 - 1095*T1^4*T2^9 + 1444*T1^5*T2^9 + 2514*T1^6*T2^9 - 
     8822*T1^7*T2^9 + 10476*T1^8*T2^9 - 5628*T1^9*T2^9 - 188*T1^10*T2^9 + 
     1271*T1^11*T2^9 - 305*T1^12*T2^9 - 18*T1^4*T2^10 + 411*T1^5*T2^10 - 
     1917*T1^6*T2^10 + 3396*T1^7*T2^10 - 2405*T1^8*T2^10 - 188*T1^9*T2^10 + 
     1923*T1^10*T2^10 - 1253*T1^11*T2^10 + 238*T1^12*T2^10 - 45*T1^5*T2^11 + 
     192*T1^6*T2^11 - 83*T1^7*T2^11 - 627*T1^8*T2^11 + 1271*T1^9*T2^11 - 
     1253*T1^10*T2^11 + 582*T1^11*T2^11 - 97*T1^12*T2^11 + 15*T1^6*T2^12 - 
     97*T1^7*T2^12 + 238*T1^8*T2^12 - 305*T1^9*T2^12 + 238*T1^10*T2^12 - 
     97*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 638] -> 
  {((1 - T + T^2)*(2 - T - T^2 - T^3 + 2*T^4))/T^3, 
   -((49 - 72*T1 + 46*T1^2 - 21*T1^3 + 46*T1^4 - 72*T1^5 + 49*T1^6 - 72*T2 + 
      48*T1*T2 + 15*T1^2*T2 - 21*T1^3*T2 - 39*T1^4*T2 + 45*T1^5*T2 + 
      18*T1^6*T2 - 60*T1^7*T2 + 46*T2^2 + 15*T1*T2^2 - 52*T1^2*T2^2 + 
      27*T1^3*T2^2 + 12*T1^4*T2^2 + 11*T1^5*T2^2 - 52*T1^6*T2^2 + 
      39*T1^7*T2^2 + 30*T1^8*T2^2 - 21*T2^3 - 21*T1*T2^3 + 27*T1^2*T2^3 - 
      4*T1^3*T2^3 - 12*T1^4*T2^3 + 8*T1^6*T2^3 + 9*T1^7*T2^3 - 27*T1^8*T2^3 - 
      9*T1^9*T2^3 + 46*T2^4 - 39*T1*T2^4 + 12*T1^2*T2^4 - 12*T1^3*T2^4 + 
      36*T1^4*T2^4 - 40*T1^5*T2^4 + 24*T1^6*T2^4 + 4*T1^7*T2^4 - 
      2*T1^8*T2^4 - 3*T1^9*T2^4 + 14*T1^10*T2^4 - 72*T2^5 + 45*T1*T2^5 + 
      11*T1^2*T2^5 - 40*T1^4*T2^5 + 44*T1^5*T2^5 - 22*T1^6*T2^5 - 
      24*T1^7*T2^5 - 4*T1^8*T2^5 + 21*T1^9*T2^5 - 9*T1^10*T2^5 - 
      12*T1^11*T2^5 + 49*T2^6 + 18*T1*T2^6 - 52*T1^2*T2^6 + 8*T1^3*T2^6 + 
      24*T1^4*T2^6 - 22*T1^5*T2^6 + 34*T1^7*T2^6 + 12*T1^8*T2^6 - 
      16*T1^9*T2^6 - 8*T1^10*T2^6 + 18*T1^11*T2^6 + T1^12*T2^6 - 60*T1*T2^7 + 
      39*T1^2*T2^7 + 9*T1^3*T2^7 + 4*T1^4*T2^7 - 24*T1^5*T2^7 + 
      34*T1^6*T2^7 - 32*T1^7*T2^7 - 8*T1^8*T2^7 + 19*T1^10*T2^7 - 
      15*T1^11*T2^7 + 30*T1^2*T2^8 - 27*T1^3*T2^8 - 2*T1^4*T2^8 - 
      4*T1^5*T2^8 + 12*T1^6*T2^8 - 8*T1^7*T2^8 + 12*T1^9*T2^8 - 
      16*T1^10*T2^8 + 9*T1^11*T2^8 - 2*T1^12*T2^8 - 9*T1^3*T2^9 - 
      3*T1^4*T2^9 + 21*T1^5*T2^9 - 16*T1^6*T2^9 + 12*T1^8*T2^9 - 
      4*T1^9*T2^9 + 3*T1^10*T2^9 - 9*T1^11*T2^9 + 3*T1^12*T2^9 + 
      14*T1^4*T2^10 - 9*T1^5*T2^10 - 8*T1^6*T2^10 + 19*T1^7*T2^10 - 
      16*T1^8*T2^10 + 3*T1^9*T2^10 - 8*T1^10*T2^10 + 15*T1^11*T2^10 - 
      2*T1^12*T2^10 - 12*T1^5*T2^11 + 18*T1^6*T2^11 - 15*T1^7*T2^11 + 
      9*T1^8*T2^11 - 9*T1^9*T2^11 + 15*T1^10*T2^11 - 12*T1^11*T2^11 + 
      T1^6*T2^12 - 2*T1^8*T2^12 + 3*T1^9*T2^12 - 2*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 639] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2 - T^3 + T^4 - T^5 + T^6))/T^4), 
   -((-7 + 28*T1 - 35*T1^2 + 35*T1^3 - 35*T1^4 + 35*T1^5 - 35*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 44*T1^2*T2 - 20*T1^3*T2 + 
      20*T1^4*T2 - 20*T1^5*T2 + 20*T1^6*T2 + 8*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 35*T2^2 + 44*T1*T2^2 + 181*T1^2*T2^2 - 201*T1^3*T2^2 + 
      172*T1^4*T2^2 - 169*T1^5*T2^2 + 172*T1^6*T2^2 - 211*T1^7*T2^2 + 
      221*T1^8*T2^2 + 4*T1^9*T2^2 - 25*T1^10*T2^2 + 35*T2^3 - 20*T1*T2^3 - 
      201*T1^2*T2^3 + 47*T1^3*T2^3 + 5*T1^4*T2^3 + 17*T1^5*T2^3 - 
      33*T1^6*T2^3 + 70*T1^7*T2^3 - 43*T1^8*T2^3 - 176*T1^9*T2^3 + 
      20*T1^10*T2^3 + 20*T1^11*T2^3 - 35*T2^4 + 20*T1*T2^4 + 172*T1^2*T2^4 + 
      5*T1^3*T2^4 + 50*T1^4*T2^4 - 97*T1^5*T2^4 + 98*T1^6*T2^4 - 
      117*T1^7*T2^4 + 90*T1^8*T2^4 + 65*T1^9*T2^4 + 112*T1^10*T2^4 - 
      20*T1^11*T2^4 - 15*T1^12*T2^4 + 35*T2^5 - 20*T1*T2^5 - 169*T1^2*T2^5 + 
      17*T1^3*T2^5 - 97*T1^4*T2^5 + 84*T1^5*T2^5 - 51*T1^6*T2^5 + 
      74*T1^7*T2^5 - 56*T1^8*T2^5 - 87*T1^9*T2^5 - 33*T1^10*T2^5 - 
      79*T1^11*T2^5 + 20*T1^12*T2^5 + 10*T1^13*T2^5 - 35*T2^6 + 20*T1*T2^6 + 
      172*T1^2*T2^6 - 33*T1^3*T2^6 + 98*T1^4*T2^6 - 51*T1^5*T2^6 + 
      10*T1^6*T2^6 - 60*T1^7*T2^6 + 50*T1^8*T2^6 + 69*T1^9*T2^6 + 
      48*T1^10*T2^6 + 17*T1^11*T2^6 + 52*T1^12*T2^6 - 20*T1^13*T2^6 - 
      5*T1^14*T2^6 + 28*T2^7 + 8*T1*T2^7 - 211*T1^2*T2^7 + 70*T1^3*T2^7 - 
      117*T1^4*T2^7 + 74*T1^5*T2^7 - 60*T1^6*T2^7 + 154*T1^7*T2^7 - 
      106*T1^8*T2^7 - 25*T1^9*T2^7 - 61*T1^10*T2^7 - 7*T1^11*T2^7 - 
      15*T1^12*T2^7 - 26*T1^13*T2^7 + 20*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 
      221*T1^2*T2^8 - 43*T1^3*T2^8 + 90*T1^4*T2^8 - 56*T1^5*T2^8 + 
      50*T1^6*T2^8 - 106*T1^7*T2^8 - 48*T1^8*T2^8 + 146*T1^9*T2^8 - 
      40*T1^10*T2^8 + 84*T1^11*T2^8 - 50*T1^12*T2^8 + 47*T1^13*T2^8 - 
      23*T1^14*T2^8 - 4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 4*T1^2*T2^9 - 
      176*T1^3*T2^9 + 65*T1^4*T2^9 - 87*T1^5*T2^9 + 69*T1^6*T2^9 - 
      25*T1^7*T2^9 + 146*T1^8*T2^9 - 114*T1^9*T2^9 + 10*T1^10*T2^9 - 
      66*T1^11*T2^9 + 23*T1^12*T2^9 - 20*T1^13*T2^9 + 9*T1^14*T2^9 + 
      16*T1^15*T2^9 - 4*T1^16*T2^9 - 25*T1^2*T2^10 + 20*T1^3*T2^10 + 
      112*T1^4*T2^10 - 33*T1^5*T2^10 + 48*T1^6*T2^10 - 61*T1^7*T2^10 - 
      40*T1^8*T2^10 + 10*T1^9*T2^10 + 59*T1^11*T2^10 - 2*T1^12*T2^10 + 
      17*T1^13*T2^10 - 8*T1^14*T2^10 - 20*T1^15*T2^10 + 5*T1^16*T2^10 + 
      20*T1^3*T2^11 - 20*T1^4*T2^11 - 79*T1^5*T2^11 + 17*T1^6*T2^11 - 
      7*T1^7*T2^11 + 84*T1^8*T2^11 - 66*T1^9*T2^11 + 59*T1^10*T2^11 - 
      56*T1^11*T2^11 + 3*T1^12*T2^11 - 33*T1^13*T2^11 + 11*T1^14*T2^11 + 
      20*T1^15*T2^11 - 5*T1^16*T2^11 - 15*T1^4*T2^12 + 20*T1^5*T2^12 + 
      52*T1^6*T2^12 - 15*T1^7*T2^12 - 50*T1^8*T2^12 + 23*T1^9*T2^12 - 
      2*T1^10*T2^12 + 3*T1^11*T2^12 - 10*T1^12*T2^12 + 45*T1^13*T2^12 - 
      8*T1^14*T2^12 - 20*T1^15*T2^12 + 5*T1^16*T2^12 + 10*T1^5*T2^13 - 
      20*T1^6*T2^13 - 26*T1^7*T2^13 + 47*T1^8*T2^13 - 20*T1^9*T2^13 + 
      17*T1^10*T2^13 - 33*T1^11*T2^13 + 45*T1^12*T2^13 - 43*T1^13*T2^13 - 
      T1^14*T2^13 + 20*T1^15*T2^13 - 5*T1^16*T2^13 - 5*T1^6*T2^14 + 
      20*T1^7*T2^14 - 23*T1^8*T2^14 + 9*T1^9*T2^14 - 8*T1^10*T2^14 + 
      11*T1^11*T2^14 - 8*T1^12*T2^14 - T1^13*T2^14 + 17*T1^14*T2^14 - 
      20*T1^15*T2^14 + 5*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      20*T1^10*T2^15 + 20*T1^11*T2^15 - 20*T1^12*T2^15 + 20*T1^13*T2^15 - 
      20*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 5*T1^10*T2^16 - 5*T1^11*T2^16 + 5*T1^12*T2^16 - 
      5*T1^13*T2^16 + 5*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 640] -> 
  {((1 - T + T^2)*(1 + T - 3*T^2 + 3*T^3 - 3*T^4 + T^5 + T^6))/T^4, 
   (-8 + 24*T1^2 - 56*T1^3 + 72*T1^4 - 56*T1^5 + 24*T1^6 - 8*T1^8 + T1^2*T2 - 
     2*T1^3*T2 + T1^4*T2 + T1^5*T2 - 2*T1^6*T2 + T1^7*T2 + 24*T2^2 + 
     T1*T2^2 - 57*T1^2*T2^2 + 163*T1^3*T2^2 - 249*T1^4*T2^2 + 265*T1^5*T2^2 - 
     213*T1^6*T2^2 + 121*T1^7*T2^2 - 33*T1^8*T2^2 + T1^9*T2^2 + 
     18*T1^10*T2^2 - 56*T2^3 - 2*T1*T2^3 + 163*T1^2*T2^3 - 383*T1^3*T2^3 + 
     441*T1^4*T2^3 - 257*T1^5*T2^3 - 47*T1^6*T2^3 + 252*T1^7*T2^3 - 
     257*T1^8*T2^3 + 100*T1^9*T2^3 - 2*T1^10*T2^3 - 35*T1^11*T2^3 + 72*T2^4 + 
     T1*T2^4 - 249*T1^2*T2^4 + 441*T1^3*T2^4 - 407*T1^4*T2^4 + 
     136*T1^5*T2^4 + 123*T1^6*T2^4 - 116*T1^7*T2^4 - 47*T1^8*T2^4 + 
     189*T1^9*T2^4 - 141*T1^10*T2^4 + T1^11*T2^4 + 36*T1^12*T2^4 - 56*T2^5 + 
     T1*T2^5 + 265*T1^2*T2^5 - 257*T1^3*T2^5 + 136*T1^4*T2^5 + 
     124*T1^5*T2^5 - 212*T1^6*T2^5 + 19*T1^7*T2^5 + 124*T1^8*T2^5 - 
     116*T1^9*T2^5 + 9*T1^10*T2^5 + 139*T1^11*T2^5 + T1^12*T2^5 - 
     21*T1^13*T2^5 + 24*T2^6 - 2*T1*T2^6 - 213*T1^2*T2^6 - 47*T1^3*T2^6 + 
     123*T1^4*T2^6 - 212*T1^5*T2^6 + 23*T1^6*T2^6 + 259*T1^7*T2^6 - 
     229*T1^8*T2^6 + 40*T1^9*T2^6 + 69*T1^10*T2^6 - 173*T1^11*T2^6 - 
     105*T1^12*T2^6 - 2*T1^13*T2^6 + 6*T1^14*T2^6 + T1*T2^7 + 121*T1^2*T2^7 + 
     252*T1^3*T2^7 - 116*T1^4*T2^7 + 19*T1^5*T2^7 + 259*T1^6*T2^7 - 
     338*T1^7*T2^7 + 40*T1^8*T2^7 + 196*T1^9*T2^7 - 170*T1^10*T2^7 + 
     136*T1^11*T2^7 + 189*T1^12*T2^7 + 58*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 
     33*T1^2*T2^8 - 257*T1^3*T2^8 - 47*T1^4*T2^8 + 124*T1^5*T2^8 - 
     229*T1^6*T2^8 + 40*T1^7*T2^8 + 288*T1^8*T2^8 - 296*T1^9*T2^8 + 
     73*T1^10*T2^8 + 40*T1^11*T2^8 - 227*T1^12*T2^8 - 103*T1^13*T2^8 - 
     21*T1^14*T2^8 + T1^2*T2^9 + 100*T1^3*T2^9 + 189*T1^4*T2^9 - 
     116*T1^5*T2^9 + 40*T1^6*T2^9 + 196*T1^7*T2^9 - 296*T1^8*T2^9 + 
     82*T1^9*T2^9 + 133*T1^10*T2^9 - 149*T1^11*T2^9 + 136*T1^12*T2^9 + 
     126*T1^13*T2^9 + 37*T1^14*T2^9 + T1^15*T2^9 + 18*T1^2*T2^10 - 
     2*T1^3*T2^10 - 141*T1^4*T2^10 + 9*T1^5*T2^10 + 69*T1^6*T2^10 - 
     170*T1^7*T2^10 + 73*T1^8*T2^10 + 133*T1^9*T2^10 - 179*T1^10*T2^10 + 
     82*T1^11*T2^10 + 15*T1^12*T2^10 - 117*T1^13*T2^10 - 33*T1^14*T2^10 - 
     2*T1^15*T2^10 - 35*T1^3*T2^11 + T1^4*T2^11 + 139*T1^5*T2^11 - 
     173*T1^6*T2^11 + 136*T1^7*T2^11 + 40*T1^8*T2^11 - 149*T1^9*T2^11 + 
     82*T1^10*T2^11 + 40*T1^11*T2^11 - 116*T1^12*T2^11 + 93*T1^13*T2^11 + 
     13*T1^14*T2^11 + T1^15*T2^11 + 36*T1^4*T2^12 + T1^5*T2^12 - 
     105*T1^6*T2^12 + 189*T1^7*T2^12 - 227*T1^8*T2^12 + 136*T1^9*T2^12 + 
     15*T1^10*T2^12 - 116*T1^11*T2^12 + 133*T1^12*T2^12 - 63*T1^13*T2^12 + 
     3*T1^14*T2^12 + T1^15*T2^12 - 21*T1^5*T2^13 - 2*T1^6*T2^13 + 
     58*T1^7*T2^13 - 103*T1^8*T2^13 + 126*T1^9*T2^13 - 117*T1^10*T2^13 + 
     93*T1^11*T2^13 - 63*T1^12*T2^13 + 23*T1^13*T2^13 - 5*T1^14*T2^13 - 
     2*T1^15*T2^13 + 6*T1^6*T2^14 + T1^7*T2^14 - 21*T1^8*T2^14 + 
     37*T1^9*T2^14 - 33*T1^10*T2^14 + 13*T1^11*T2^14 + 3*T1^12*T2^14 - 
     5*T1^13*T2^14 + 3*T1^14*T2^14 + T1^15*T2^14 + T1^9*T2^15 - 
     2*T1^10*T2^15 + T1^11*T2^15 + T1^12*T2^15 - 2*T1^13*T2^15 + T1^14*T2^15)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 641] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/T^4, 
   (-2 + 8*T1 - 18*T1^2 + 26*T1^3 - 30*T1^4 + 26*T1^5 - 18*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 56*T1^2*T2 - 68*T1^3*T2 + 68*T1^4*T2 - 
     44*T1^5*T2 + 20*T1^6*T2 + 4*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 18*T2^2 + 
     56*T1*T2^2 - 99*T1^2*T2^2 + 98*T1^3*T2^2 - 80*T1^4*T2^2 + 15*T1^5*T2^2 + 
     28*T1^6*T2^2 - 64*T1^7*T2^2 + 45*T1^8*T2^2 - 16*T1^9*T2^2 + 26*T2^3 - 
     68*T1*T2^3 + 98*T1^2*T2^3 - 55*T1^3*T2^3 + 13*T1^4*T2^3 + 74*T1^5*T2^3 - 
     76*T1^6*T2^3 + 64*T1^7*T2^3 + 23*T1^8*T2^3 - 73*T1^9*T2^3 + 
     52*T1^10*T2^3 - 13*T1^11*T2^3 - 30*T2^4 + 68*T1*T2^4 - 80*T1^2*T2^4 + 
     13*T1^3*T2^4 + 15*T1^4*T2^4 - 75*T1^5*T2^4 + 15*T1^6*T2^4 + 
     9*T1^7*T2^4 - 81*T1^8*T2^4 + 65*T1^9*T2^4 + 44*T1^10*T2^4 - 
     68*T1^11*T2^4 + 30*T1^12*T2^4 + 26*T2^5 - 44*T1*T2^5 + 15*T1^2*T2^5 + 
     74*T1^3*T2^5 - 75*T1^4*T2^5 + 64*T1^5*T2^5 + 61*T1^6*T2^5 - 
     100*T1^7*T2^5 + 128*T1^8*T2^5 - 51*T1^9*T2^5 - 116*T1^10*T2^5 + 
     33*T1^11*T2^5 + 36*T1^12*T2^5 - 39*T1^13*T2^5 - 18*T2^6 + 20*T1*T2^6 + 
     28*T1^2*T2^6 - 76*T1^3*T2^6 + 15*T1^4*T2^6 + 61*T1^5*T2^6 - 
     115*T1^6*T2^6 + 61*T1^7*T2^6 + 65*T1^8*T2^6 - 159*T1^9*T2^6 + 
     281*T1^10*T2^6 + 14*T1^11*T2^6 - 48*T1^12*T2^6 + 12*T1^13*T2^6 + 
     36*T1^14*T2^6 + 8*T2^7 + 4*T1*T2^7 - 64*T1^2*T2^7 + 64*T1^3*T2^7 + 
     9*T1^4*T2^7 - 100*T1^5*T2^7 + 61*T1^6*T2^7 - 86*T1^7*T2^7 - 
     24*T1^8*T2^7 - 50*T1^9*T2^7 - 57*T1^10*T2^7 - 255*T1^11*T2^7 + 
     17*T1^12*T2^7 + 53*T1^13*T2^7 - 64*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 
     8*T1*T2^8 + 45*T1^2*T2^8 + 23*T1^3*T2^8 - 81*T1^4*T2^8 + 128*T1^5*T2^8 + 
     65*T1^6*T2^8 - 24*T1^7*T2^8 + 288*T1^8*T2^8 - 176*T1^9*T2^8 + 
     383*T1^10*T2^8 - 44*T1^11*T2^8 + 355*T1^12*T2^8 - 175*T1^13*T2^8 + 
     57*T1^14*T2^8 + 56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 
     16*T1^2*T2^9 - 73*T1^3*T2^9 + 65*T1^4*T2^9 - 51*T1^5*T2^9 - 
     159*T1^6*T2^9 - 50*T1^7*T2^9 - 176*T1^8*T2^9 - 114*T1^9*T2^9 - 
     161*T1^10*T2^9 - 116*T1^11*T2^9 - 315*T1^12*T2^9 + 18*T1^13*T2^9 + 
     44*T1^14*T2^9 - 84*T1^15*T2^9 - 24*T1^16*T2^9 + 52*T1^3*T2^10 + 
     44*T1^4*T2^10 - 116*T1^5*T2^10 + 281*T1^6*T2^10 - 57*T1^7*T2^10 + 
     383*T1^8*T2^10 - 161*T1^9*T2^10 + 563*T1^10*T2^10 - 277*T1^11*T2^10 + 
     547*T1^12*T2^10 - 26*T1^13*T2^10 - 32*T1^14*T2^10 + 44*T1^15*T2^10 + 
     54*T1^16*T2^10 - 13*T1^3*T2^11 - 68*T1^4*T2^11 + 33*T1^5*T2^11 + 
     14*T1^6*T2^11 - 255*T1^7*T2^11 - 44*T1^8*T2^11 - 116*T1^9*T2^11 - 
     277*T1^10*T2^11 + 20*T1^11*T2^11 - 231*T1^12*T2^11 - 176*T1^13*T2^11 + 
     51*T1^14*T2^11 + 12*T1^15*T2^11 - 78*T1^16*T2^11 + 30*T1^4*T2^12 + 
     36*T1^5*T2^12 - 48*T1^6*T2^12 + 17*T1^7*T2^12 + 355*T1^8*T2^12 - 
     315*T1^9*T2^12 + 547*T1^10*T2^12 - 231*T1^11*T2^12 + 259*T1^12*T2^12 + 
     69*T1^13*T2^12 + 76*T1^14*T2^12 - 100*T1^15*T2^12 + 90*T1^16*T2^12 - 
     39*T1^5*T2^13 + 12*T1^6*T2^13 + 53*T1^7*T2^13 - 175*T1^8*T2^13 + 
     18*T1^9*T2^13 - 26*T1^10*T2^13 - 176*T1^11*T2^13 + 69*T1^12*T2^13 - 
     97*T1^13*T2^13 - 118*T1^14*T2^13 + 132*T1^15*T2^13 - 78*T1^16*T2^13 + 
     36*T1^6*T2^14 - 64*T1^7*T2^14 + 57*T1^8*T2^14 + 44*T1^9*T2^14 - 
     32*T1^10*T2^14 + 51*T1^11*T2^14 + 76*T1^12*T2^14 - 118*T1^13*T2^14 + 
     201*T1^14*T2^14 - 136*T1^15*T2^14 + 54*T1^16*T2^14 - 20*T1^7*T2^15 + 
     56*T1^8*T2^15 - 84*T1^9*T2^15 + 44*T1^10*T2^15 + 12*T1^11*T2^15 - 
     100*T1^12*T2^15 + 132*T1^13*T2^15 - 136*T1^14*T2^15 + 76*T1^15*T2^15 - 
     24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 54*T1^10*T2^16 - 
     78*T1^11*T2^16 + 90*T1^12*T2^16 - 78*T1^13*T2^16 + 54*T1^14*T2^16 - 
     24*T1^15*T2^16 + 6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 642] -> {(1 + 7*T - 15*T^2 + 7*T^3 + T^4)/T^2, 
   (-17 + 73*T1 - 81*T1^2 + 25*T1^3 + 7*T1^4 + 73*T2 + 302*T1*T2 - 
     934*T1^2*T2 + 782*T1^3*T2 - 137*T1^4*T2 - 30*T1^5*T2 - 81*T2^2 - 
     934*T1*T2^2 + 30*T1^2*T2^2 + 2466*T1^3*T2^2 - 1879*T1^4*T2^2 - 
     39*T1^5*T2^2 + 21*T1^6*T2^2 + 25*T2^3 + 782*T1*T2^3 + 2466*T1^2*T2^3 - 
     4944*T1^3*T2^3 + 926*T1^4*T2^3 + 1408*T1^5*T2^3 + 151*T1^6*T2^3 + 
     4*T1^7*T2^3 + 7*T2^4 - 137*T1*T2^4 - 1879*T1^2*T2^4 + 926*T1^3*T2^4 + 
     3362*T1^4*T2^4 - 2824*T1^5*T2^4 - 95*T1^6*T2^4 + 28*T1^7*T2^4 - 
     30*T1*T2^5 - 39*T1^2*T2^5 + 1408*T1^3*T2^5 - 2824*T1^4*T2^5 + 
     1888*T1^5*T2^5 - 249*T1^6*T2^5 - 60*T1^7*T2^5 + 21*T1^2*T2^6 + 
     151*T1^3*T2^6 - 95*T1^4*T2^6 - 249*T1^5*T2^6 + 193*T1^6*T2^6 + 
     28*T1^7*T2^6 + 4*T1^3*T2^7 + 28*T1^4*T2^7 - 60*T1^5*T2^7 + 
     28*T1^6*T2^7 + 4*T1^7*T2^7)/(T1^4*T2^3*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 643] -> 
  {-((2 - 8*T + 10*T^2 - 9*T^3 + 10*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 164*T1 - 204*T1^2 + 183*T1^3 - 204*T1^4 + 164*T1^5 - 41*T1^6 + 
      164*T2 - 524*T1*T2 + 288*T1^2*T2 - 76*T1^3*T2 + 228*T1^4*T2 - 
      364*T1^6*T2 + 132*T1^7*T2 - 204*T2^2 + 288*T1*T2^2 + 958*T1^2*T2^2 - 
      1204*T1^3*T2^2 + 716*T1^4*T2^2 - 1244*T1^5*T2^2 + 1278*T1^6*T2^2 - 
      32*T1^7*T2^2 - 124*T1^8*T2^2 + 183*T2^3 - 76*T1*T2^3 - 1204*T1^2*T2^3 + 
      580*T1^3*T2^3 + 114*T1^4*T2^3 + 662*T1^5*T2^3 - 266*T1^6*T2^3 - 
      944*T1^7*T2^3 + 196*T1^8*T2^3 + 75*T1^9*T2^3 - 204*T2^4 + 228*T1*T2^4 + 
      716*T1^2*T2^4 + 114*T1^3*T2^4 - 493*T1^4*T2^4 - 345*T1^5*T2^4 + 
      3*T1^6*T2^4 + 546*T1^7*T2^4 + 364*T1^8*T2^4 - 124*T1^9*T2^4 - 
      44*T1^10*T2^4 + 164*T2^5 - 1244*T1^2*T2^5 + 662*T1^3*T2^5 - 
      345*T1^4*T2^5 + 1124*T1^5*T2^5 - 686*T1^6*T2^5 - 125*T1^7*T2^5 - 
      118*T1^8*T2^5 - 304*T1^9*T2^5 + 160*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 364*T1*T2^6 + 1278*T1^2*T2^6 - 266*T1^3*T2^6 + 3*T1^4*T2^6 - 
      686*T1^5*T2^6 - 204*T1^6*T2^6 + 970*T1^7*T2^6 - 461*T1^8*T2^6 + 
      478*T1^9*T2^6 - 130*T1^10*T2^6 - 44*T1^11*T2^6 + 7*T1^12*T2^6 + 
      132*T1*T2^7 - 32*T1^2*T2^7 - 944*T1^3*T2^7 + 546*T1^4*T2^7 - 
      125*T1^5*T2^7 + 970*T1^6*T2^7 - 840*T1^7*T2^7 + 95*T1^8*T2^7 - 
      234*T1^9*T2^7 - 4*T1^10*T2^7 + 128*T1^11*T2^7 - 28*T1^12*T2^7 - 
      124*T1^2*T2^8 + 196*T1^3*T2^8 + 364*T1^4*T2^8 - 118*T1^5*T2^8 - 
      461*T1^6*T2^8 + 95*T1^7*T2^8 + 35*T1^8*T2^8 + 314*T1^9*T2^8 + 
      12*T1^10*T2^8 - 156*T1^11*T2^8 + 36*T1^12*T2^8 + 75*T1^3*T2^9 - 
      124*T1^4*T2^9 - 304*T1^5*T2^9 + 478*T1^6*T2^9 - 234*T1^7*T2^9 + 
      314*T1^8*T2^9 - 368*T1^9*T2^9 - 44*T1^10*T2^9 + 148*T1^11*T2^9 - 
      33*T1^12*T2^9 - 44*T1^4*T2^10 + 160*T1^5*T2^10 - 130*T1^6*T2^10 - 
      4*T1^7*T2^10 + 12*T1^8*T2^10 - 44*T1^9*T2^10 + 190*T1^10*T2^10 - 
      160*T1^11*T2^10 + 36*T1^12*T2^10 + 4*T1^5*T2^11 - 44*T1^6*T2^11 + 
      128*T1^7*T2^11 - 156*T1^8*T2^11 + 148*T1^9*T2^11 - 160*T1^10*T2^11 + 
      116*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
      36*T1^8*T2^12 - 33*T1^9*T2^12 + 36*T1^10*T2^12 - 28*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 644] -> {(2 - 2*T + T^3 - 2*T^5 + 2*T^6)/T^3, 
   -((49 - 48*T1 - 2*T1^2 + 27*T1^3 - 2*T1^4 - 48*T1^5 + 49*T1^6 - 48*T2 + 
      8*T1*T2 + 37*T1^2*T2 - 21*T1^3*T2 - 17*T1^4*T2 + 45*T1^5*T2 - 
      8*T1^6*T2 - 40*T1^7*T2 - 2*T2^2 + 37*T1*T2^2 - 35*T1^2*T2^2 + 
      3*T1^3*T2^2 + 7*T1^4*T2^2 + 3*T1^5*T2^2 - 35*T1^6*T2^2 + 37*T1^7*T2^2 - 
      2*T1^8*T2^2 + 27*T2^3 - 21*T1*T2^3 + 3*T1^2*T2^3 + 10*T1^3*T2^3 - 
      T1^4*T2^3 - 13*T1^5*T2^3 + 16*T1^6*T2^3 + 3*T1^7*T2^3 - 9*T1^8*T2^3 + 
      15*T1^9*T2^3 - 2*T2^4 - 17*T1*T2^4 + 7*T1^2*T2^4 - T1^3*T2^4 + 
      2*T1^4*T2^4 - 8*T1^5*T2^4 + 14*T1^6*T2^4 - 9*T1^7*T2^4 - T1^8*T2^4 - 
      9*T1^9*T2^4 - 2*T1^10*T2^4 - 48*T2^5 + 45*T1*T2^5 + 3*T1^2*T2^5 - 
      13*T1^3*T2^5 - 8*T1^4*T2^5 + 42*T1^5*T2^5 - 38*T1^6*T2^5 - 
      8*T1^7*T2^5 + 7*T1^8*T2^5 + 3*T1^9*T2^5 + 5*T1^10*T2^5 - 8*T1^11*T2^5 + 
      49*T2^6 - 8*T1*T2^6 - 35*T1^2*T2^6 + 16*T1^3*T2^6 + 14*T1^4*T2^6 - 
      38*T1^5*T2^6 + 42*T1^7*T2^6 - 2*T1^8*T2^6 - 8*T1^9*T2^6 - 
      3*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 40*T1*T2^7 + 37*T1^2*T2^7 + 
      3*T1^3*T2^7 - 9*T1^4*T2^7 - 8*T1^5*T2^7 + 42*T1^6*T2^7 - 38*T1^7*T2^7 - 
      8*T1^8*T2^7 + 11*T1^9*T2^7 + 3*T1^10*T2^7 - 3*T1^11*T2^7 - 
      2*T1^2*T2^8 - 9*T1^3*T2^8 - T1^4*T2^8 + 7*T1^5*T2^8 - 2*T1^6*T2^8 - 
      8*T1^7*T2^8 + 10*T1^8*T2^8 - T1^9*T2^8 - 9*T1^10*T2^8 - T1^11*T2^8 - 
      2*T1^12*T2^8 + 15*T1^3*T2^9 - 9*T1^4*T2^9 + 3*T1^5*T2^9 - 8*T1^6*T2^9 + 
      11*T1^7*T2^9 - T1^8*T2^9 - 2*T1^9*T2^9 + 3*T1^10*T2^9 + 3*T1^11*T2^9 + 
      3*T1^12*T2^9 - 2*T1^4*T2^10 + 5*T1^5*T2^10 - 3*T1^6*T2^10 + 
      3*T1^7*T2^10 - 9*T1^8*T2^10 + 3*T1^9*T2^10 - 3*T1^10*T2^10 + 
      5*T1^11*T2^10 - 2*T1^12*T2^10 - 8*T1^5*T2^11 + 8*T1^6*T2^11 - 
      3*T1^7*T2^11 - T1^8*T2^11 + 3*T1^9*T2^11 + 5*T1^10*T2^11 - 
      8*T1^11*T2^11 + T1^6*T2^12 - 2*T1^8*T2^12 + 3*T1^9*T2^12 - 
      2*T1^10*T2^12 + T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 645] -> 
  {(2 - 8*T + 16*T^2 - 19*T^3 + 16*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 60*T1 - 120*T1^2 + 143*T1^3 - 120*T1^4 + 60*T1^5 - 15*T1^6 + 
     60*T2 - 212*T1*T2 + 368*T1^2*T2 - 348*T1^3*T2 + 212*T1^4*T2 - 
     16*T1^5*T2 - 52*T1^6*T2 + 28*T1^7*T2 - 120*T2^2 + 368*T1*T2^2 - 
     504*T1^2*T2^2 + 240*T1^3*T2^2 + 128*T1^4*T2^2 - 464*T1^5*T2^2 + 
     392*T1^6*T2^2 - 144*T1^7*T2^2 + 8*T1^8*T2^2 + 143*T2^3 - 348*T1*T2^3 + 
     240*T1^2*T2^3 + 364*T1^3*T2^3 - 820*T1^4*T2^3 + 924*T1^5*T2^3 - 
     314*T1^6*T2^3 - 304*T1^7*T2^3 + 308*T1^8*T2^3 - 85*T1^9*T2^3 - 
     120*T2^4 + 212*T1*T2^4 + 128*T1^2*T2^4 - 820*T1^3*T2^4 + 
     1018*T1^4*T2^4 - 532*T1^5*T2^4 - 534*T1^6*T2^4 + 1004*T1^7*T2^4 - 
     256*T1^8*T2^4 - 204*T1^9*T2^4 + 136*T1^10*T2^4 + 60*T2^5 - 16*T1*T2^5 - 
     464*T1^2*T2^5 + 924*T1^3*T2^5 - 532*T1^4*T2^5 - 684*T1^5*T2^5 + 
     1540*T1^6*T2^5 - 1044*T1^7*T2^5 - 660*T1^8*T2^5 + 720*T1^9*T2^5 - 
     144*T1^10*T2^5 - 100*T1^11*T2^5 - 15*T2^6 - 52*T1*T2^6 + 392*T1^2*T2^6 - 
     314*T1^3*T2^6 - 534*T1^4*T2^6 + 1540*T1^5*T2^6 - 840*T1^6*T2^6 - 
     700*T1^7*T2^6 + 2154*T1^8*T2^6 - 770*T1^9*T2^6 - 248*T1^10*T2^6 + 
     268*T1^11*T2^6 + 33*T1^12*T2^6 + 28*T1*T2^7 - 144*T1^2*T2^7 - 
     304*T1^3*T2^7 + 1004*T1^4*T2^7 - 1044*T1^5*T2^7 - 700*T1^6*T2^7 + 
     1524*T1^7*T2^7 - 1556*T1^8*T2^7 - 580*T1^9*T2^7 + 880*T1^10*T2^7 - 
     272*T1^11*T2^7 - 132*T1^12*T2^7 + 8*T1^2*T2^8 + 308*T1^3*T2^8 - 
     256*T1^4*T2^8 - 660*T1^5*T2^8 + 2154*T1^6*T2^8 - 1556*T1^7*T2^8 + 
     602*T1^8*T2^8 + 1164*T1^9*T2^8 - 640*T1^10*T2^8 - 108*T1^11*T2^8 + 
     264*T1^12*T2^8 - 85*T1^3*T2^9 - 204*T1^4*T2^9 + 720*T1^5*T2^9 - 
     770*T1^6*T2^9 - 580*T1^7*T2^9 + 1164*T1^8*T2^9 - 1448*T1^9*T2^9 + 
     176*T1^10*T2^9 + 452*T1^11*T2^9 - 313*T1^12*T2^9 + 136*T1^4*T2^10 - 
     144*T1^5*T2^10 - 248*T1^6*T2^10 + 880*T1^7*T2^10 - 640*T1^8*T2^10 + 
     176*T1^9*T2^10 + 648*T1^10*T2^10 - 656*T1^11*T2^10 + 264*T1^12*T2^10 - 
     100*T1^5*T2^11 + 268*T1^6*T2^11 - 272*T1^7*T2^11 - 108*T1^8*T2^11 + 
     452*T1^9*T2^11 - 656*T1^10*T2^11 + 428*T1^11*T2^11 - 132*T1^12*T2^11 + 
     33*T1^6*T2^12 - 132*T1^7*T2^12 + 264*T1^8*T2^12 - 313*T1^9*T2^12 + 
     264*T1^10*T2^12 - 132*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 646] -> 
  {-((1 - 5*T + 12*T^2 - 21*T^3 + 25*T^4 - 21*T^5 + 12*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 60*T1^2 + 105*T1^3 - 125*T1^4 + 105*T1^5 - 
      60*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 
      285*T1^3*T2 + 205*T1^4*T2 - 25*T1^5*T2 - 120*T1^6*T2 + 115*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 256*T1^2*T2^2 + 
      238*T1^3*T2^2 + 178*T1^4*T2^2 - 500*T1^5*T2^2 + 490*T1^6*T2^2 - 
      146*T1^7*T2^2 + 8*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 105*T2^3 - 
      285*T1*T2^3 + 238*T1^2*T2^3 - 165*T1^3*T2^3 - 515*T1^4*T2^3 + 
      555*T1^5*T2^3 - 126*T1^6*T2^3 - 425*T1^7*T2^3 + 201*T1^8*T2^3 - 
      158*T1^9*T2^3 - 30*T1^10*T2^3 + 42*T1^11*T2^3 - 125*T2^4 + 
      205*T1*T2^4 + 178*T1^2*T2^4 - 515*T1^3*T2^4 + 1584*T1^4*T2^4 - 
      1095*T1^5*T2^4 + 368*T1^6*T2^4 + 35*T1^7*T2^4 + 624*T1^8*T2^4 - 
      305*T1^9*T2^4 + 328*T1^10*T2^4 - 85*T1^11*T2^4 - 25*T1^12*T2^4 + 
      105*T2^5 - 25*T1*T2^5 - 500*T1^2*T2^5 + 555*T1^3*T2^5 - 
      1095*T1^4*T2^5 - 460*T1^5*T2^5 + 837*T1^6*T2^5 - 165*T1^7*T2^5 - 
      1084*T1^8*T2^5 + 246*T1^9*T2^5 - 228*T1^10*T2^5 - 137*T1^11*T2^5 + 
      125*T1^12*T2^5 - 60*T2^6 - 120*T1*T2^6 + 490*T1^2*T2^6 - 
      126*T1^3*T2^6 + 368*T1^4*T2^6 + 837*T1^5*T2^6 + 525*T1^6*T2^6 - 
      2113*T1^7*T2^6 + 2397*T1^8*T2^6 - 195*T1^9*T2^6 - 52*T1^10*T2^6 + 
      402*T1^11*T2^6 - 146*T1^12*T2^6 - 60*T1^13*T2^6 + 12*T1^14*T2^6 + 
      25*T2^7 + 115*T1*T2^7 - 146*T1^2*T2^7 - 425*T1^3*T2^7 + 35*T1^4*T2^7 - 
      165*T1^5*T2^7 - 2113*T1^6*T2^7 + 2860*T1^7*T2^7 - 1232*T1^8*T2^7 - 
      1288*T1^9*T2^7 + 777*T1^10*T2^7 - 462*T1^11*T2^7 - 35*T1^12*T2^7 + 
      178*T1^13*T2^7 - 10*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 
      8*T1^2*T2^8 + 201*T1^3*T2^8 + 624*T1^4*T2^8 - 1084*T1^5*T2^8 + 
      2397*T1^6*T2^8 - 1232*T1^7*T2^8 - 1488*T1^8*T2^8 + 2628*T1^9*T2^8 - 
      945*T1^10*T2^8 + 104*T1^11*T2^8 + 176*T1^12*T2^8 - 165*T1^13*T2^8 - 
      70*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      80*T1^2*T2^9 - 158*T1^3*T2^9 - 305*T1^4*T2^9 + 246*T1^5*T2^9 - 
      195*T1^6*T2^9 - 1288*T1^7*T2^9 + 2628*T1^8*T2^9 - 1464*T1^9*T2^9 - 
      463*T1^10*T2^9 + 747*T1^11*T2^9 - 251*T1^12*T2^9 + 85*T1^13*T2^9 + 
      166*T1^14*T2^9 - 45*T1^15*T2^9 - 15*T1^16*T2^9 - 36*T1^2*T2^10 - 
      30*T1^3*T2^10 + 328*T1^4*T2^10 - 228*T1^5*T2^10 - 52*T1^6*T2^10 + 
      777*T1^7*T2^10 - 945*T1^8*T2^10 - 463*T1^9*T2^10 + 927*T1^10*T2^10 - 
      255*T1^11*T2^10 - 472*T1^12*T2^10 + 300*T1^13*T2^10 - 308*T1^14*T2^10 + 
      30*T1^15*T2^10 + 36*T1^16*T2^10 + 42*T1^3*T2^11 - 85*T1^4*T2^11 - 
      137*T1^5*T2^11 + 402*T1^6*T2^11 - 462*T1^7*T2^11 + 104*T1^8*T2^11 + 
      747*T1^9*T2^11 - 255*T1^10*T2^11 - 520*T1^11*T2^11 + 879*T1^12*T2^11 - 
      381*T1^13*T2^11 + 226*T1^14*T2^11 + 65*T1^15*T2^11 - 63*T1^16*T2^11 - 
      25*T1^4*T2^12 + 125*T1^5*T2^12 - 146*T1^6*T2^12 - 35*T1^7*T2^12 + 
      176*T1^8*T2^12 - 251*T1^9*T2^12 - 472*T1^10*T2^12 + 879*T1^11*T2^12 - 
      784*T1^12*T2^12 + 175*T1^13*T2^12 + 4*T1^14*T2^12 - 165*T1^15*T2^12 + 
      75*T1^16*T2^12 - 60*T1^6*T2^13 + 178*T1^7*T2^13 - 165*T1^8*T2^13 + 
      85*T1^9*T2^13 + 300*T1^10*T2^13 - 381*T1^11*T2^13 + 175*T1^12*T2^13 + 
      201*T1^13*T2^13 - 218*T1^14*T2^13 + 195*T1^15*T2^13 - 63*T1^16*T2^13 + 
      12*T1^6*T2^14 - 10*T1^7*T2^14 - 70*T1^8*T2^14 + 166*T1^9*T2^14 - 
      308*T1^10*T2^14 + 226*T1^11*T2^14 + 4*T1^12*T2^14 - 218*T1^13*T2^14 + 
      194*T1^14*T2^14 - 130*T1^15*T2^14 + 36*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 45*T1^9*T2^15 + 30*T1^10*T2^15 + 65*T1^11*T2^15 - 
      165*T1^12*T2^15 + 195*T1^13*T2^15 - 130*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 36*T1^10*T2^16 - 
      63*T1^11*T2^16 + 75*T1^12*T2^16 - 63*T1^13*T2^16 + 36*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 647] -> 
  {(1 - 3*T^2 + 6*T^3 - 7*T^4 + 6*T^5 - 3*T^6 + T^8)/T^4, 
   (-8 + 24*T1^2 - 48*T1^3 + 56*T1^4 - 48*T1^5 + 24*T1^6 - 8*T1^8 + T1^2*T2 - 
     2*T1^3*T2 + T1^4*T2 + T1^5*T2 - 2*T1^6*T2 + T1^7*T2 + 24*T2^2 + 
     T1*T2^2 - 57*T1^2*T2^2 + 140*T1^3*T2^2 - 204*T1^4*T2^2 + 227*T1^5*T2^2 - 
     180*T1^6*T2^2 + 104*T1^7*T2^2 - 33*T1^8*T2^2 + T1^9*T2^2 + 
     18*T1^10*T2^2 - 48*T2^3 - 2*T1*T2^3 + 140*T1^2*T2^3 - 286*T1^3*T2^3 + 
     294*T1^4*T2^3 - 179*T1^5*T2^3 - 17*T1^6*T2^3 + 168*T1^7*T2^3 - 
     196*T1^8*T2^3 + 86*T1^9*T2^3 - 2*T1^10*T2^3 - 30*T1^11*T2^3 + 56*T2^4 + 
     T1*T2^4 - 204*T1^2*T2^4 + 294*T1^3*T2^4 - 185*T1^4*T2^4 + 26*T1^5*T2^4 + 
     101*T1^6*T2^4 - 142*T1^7*T2^4 + 39*T1^8*T2^4 + 126*T1^9*T2^4 - 
     120*T1^10*T2^4 + T1^11*T2^4 + 28*T1^12*T2^4 - 48*T2^5 + T1*T2^5 + 
     227*T1^2*T2^5 - 179*T1^3*T2^5 + 26*T1^4*T2^5 + 66*T1^5*T2^5 - 
     75*T1^6*T2^5 + 69*T1^7*T2^5 + 54*T1^8*T2^5 - 130*T1^9*T2^5 + 
     19*T1^10*T2^5 + 119*T1^11*T2^5 + T1^12*T2^5 - 18*T1^13*T2^5 + 24*T2^6 - 
     2*T1*T2^6 - 180*T1^2*T2^6 - 17*T1^3*T2^6 + 101*T1^4*T2^6 - 
     75*T1^5*T2^6 - 9*T1^6*T2^6 + 11*T1^7*T2^6 - 105*T1^8*T2^6 + 
     69*T1^9*T2^6 + 59*T1^10*T2^6 - 125*T1^11*T2^6 - 84*T1^12*T2^6 - 
     2*T1^13*T2^6 + 6*T1^14*T2^6 + T1*T2^7 + 104*T1^2*T2^7 + 168*T1^3*T2^7 - 
     142*T1^4*T2^7 + 69*T1^5*T2^7 + 11*T1^6*T2^7 + 10*T1^7*T2^7 + 
     70*T1^8*T2^7 + 11*T1^9*T2^7 - 75*T1^10*T2^7 + 62*T1^11*T2^7 + 
     126*T1^12*T2^7 + 50*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 33*T1^2*T2^8 - 
     196*T1^3*T2^8 + 39*T1^4*T2^8 + 54*T1^5*T2^8 - 105*T1^6*T2^8 + 
     70*T1^7*T2^8 - 108*T1^8*T2^8 - 2*T1^9*T2^8 + 15*T1^10*T2^8 + 
     30*T1^11*T2^8 - 125*T1^12*T2^8 - 76*T1^13*T2^8 - 21*T1^14*T2^8 + 
     T1^2*T2^9 + 86*T1^3*T2^9 + 126*T1^4*T2^9 - 130*T1^5*T2^9 + 
     69*T1^6*T2^9 + 11*T1^7*T2^9 - 2*T1^8*T2^9 + 58*T1^9*T2^9 + 
     11*T1^10*T2^9 - 75*T1^11*T2^9 + 74*T1^12*T2^9 + 84*T1^13*T2^9 + 
     32*T1^14*T2^9 + T1^15*T2^9 + 18*T1^2*T2^10 - 2*T1^3*T2^10 - 
     120*T1^4*T2^10 + 19*T1^5*T2^10 + 59*T1^6*T2^10 - 75*T1^7*T2^10 + 
     15*T1^8*T2^10 + 11*T1^9*T2^10 - 81*T1^10*T2^10 + 69*T1^11*T2^10 + 
     17*T1^12*T2^10 - 89*T1^13*T2^10 - 24*T1^14*T2^10 - 2*T1^15*T2^10 - 
     30*T1^3*T2^11 + T1^4*T2^11 + 119*T1^5*T2^11 - 125*T1^6*T2^11 + 
     62*T1^7*T2^11 + 30*T1^8*T2^11 - 75*T1^9*T2^11 + 69*T1^10*T2^11 + 
     18*T1^11*T2^11 - 94*T1^12*T2^11 + 73*T1^13*T2^11 + 11*T1^14*T2^11 + 
     T1^15*T2^11 + 28*T1^4*T2^12 + T1^5*T2^12 - 84*T1^6*T2^12 + 
     126*T1^7*T2^12 - 125*T1^8*T2^12 + 74*T1^9*T2^12 + 17*T1^10*T2^12 - 
     94*T1^11*T2^12 + 99*T1^12*T2^12 - 42*T1^13*T2^12 + T1^15*T2^12 - 
     18*T1^5*T2^13 - 2*T1^6*T2^13 + 50*T1^7*T2^13 - 76*T1^8*T2^13 + 
     84*T1^9*T2^13 - 89*T1^10*T2^13 + 73*T1^11*T2^13 - 42*T1^12*T2^13 + 
     14*T1^13*T2^13 - 4*T1^14*T2^13 - 2*T1^15*T2^13 + 6*T1^6*T2^14 + 
     T1^7*T2^14 - 21*T1^8*T2^14 + 32*T1^9*T2^14 - 24*T1^10*T2^14 + 
     11*T1^11*T2^14 - 4*T1^13*T2^14 + 3*T1^14*T2^14 + T1^15*T2^14 + 
     T1^9*T2^15 - 2*T1^10*T2^15 + T1^11*T2^15 + T1^12*T2^15 - 2*T1^13*T2^15 + 
     T1^14*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 648] -> 
  {-((1 - 4*T + 3*T^2 + T^3 - 3*T^4 + T^5 + 3*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 21*T1^2 - 7*T1^3 + 21*T1^4 - 7*T1^5 - 21*T1^6 + 28*T1^7 - 
      7*T1^8 + 28*T2 - 88*T1*T2 - 12*T1^2*T2 + 100*T1^3*T2 - 60*T1^4*T2 - 
      44*T1^5*T2 + 108*T1^6*T2 - 40*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      21*T2^2 - 12*T1*T2^2 + 301*T1^2*T2^2 - 240*T1^3*T2^2 - 83*T1^4*T2^2 + 
      253*T1^5*T2^2 - 119*T1^6*T2^2 - 210*T1^7*T2^2 + 313*T1^8*T2^2 - 
      36*T1^9*T2^2 - 15*T1^10*T2^2 - 7*T2^3 + 100*T1*T2^3 - 240*T1^2*T2^3 - 
      51*T1^3*T2^3 + 292*T1^4*T2^3 - 171*T1^5*T2^3 - 129*T1^6*T2^3 + 
      319*T1^7*T2^3 - 135*T1^8*T2^3 - 171*T1^9*T2^3 + 76*T1^10*T2^3 - 
      4*T1^11*T2^3 + 21*T2^4 - 60*T1*T2^4 - 83*T1^2*T2^4 + 292*T1^3*T2^4 - 
      207*T1^4*T2^4 - 90*T1^5*T2^4 + 247*T1^6*T2^4 - 102*T1^7*T2^4 - 
      199*T1^8*T2^4 + 264*T1^9*T2^4 - 87*T1^10*T2^4 - 20*T1^11*T2^4 + 
      9*T1^12*T2^4 - 7*T2^5 - 44*T1*T2^5 + 253*T1^2*T2^5 - 171*T1^3*T2^5 - 
      90*T1^4*T2^5 + 252*T1^5*T2^5 - 121*T1^6*T2^5 - 170*T1^7*T2^5 + 
      282*T1^8*T2^5 - 84*T1^9*T2^5 - 73*T1^10*T2^5 + 127*T1^11*T2^5 - 
      28*T1^12*T2^5 - 2*T1^13*T2^5 - 21*T2^6 + 108*T1*T2^6 - 119*T1^2*T2^6 - 
      129*T1^3*T2^6 + 247*T1^4*T2^6 - 121*T1^5*T2^6 - 133*T1^6*T2^6 + 
      229*T1^7*T2^6 - 69*T1^8*T2^6 - 129*T1^9*T2^6 + 141*T1^10*T2^6 - 
      87*T1^11*T2^6 - 19*T1^12*T2^6 + 20*T1^13*T2^6 - 3*T1^14*T2^6 + 
      28*T2^7 - 40*T1*T2^7 - 210*T1^2*T2^7 + 319*T1^3*T2^7 - 102*T1^4*T2^7 - 
      170*T1^5*T2^7 + 229*T1^6*T2^7 + 42*T1^7*T2^7 - 244*T1^8*T2^7 + 
      160*T1^9*T2^7 - 39*T1^10*T2^7 - 36*T1^11*T2^7 + 72*T1^12*T2^7 - 
      45*T1^13*T2^7 + 12*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 313*T1^2*T2^8 - 
      135*T1^3*T2^8 - 199*T1^4*T2^8 + 282*T1^5*T2^8 - 69*T1^6*T2^8 - 
      244*T1^7*T2^8 + 156*T1^8*T2^8 + 84*T1^9*T2^8 - 83*T1^10*T2^8 + 
      42*T1^11*T2^8 - 27*T1^12*T2^8 + 19*T1^13*T2^8 - 11*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 - 36*T1^2*T2^9 - 171*T1^3*T2^9 + 
      264*T1^4*T2^9 - 84*T1^5*T2^9 - 129*T1^6*T2^9 + 160*T1^7*T2^9 + 
      84*T1^8*T2^9 - 202*T1^9*T2^9 + 91*T1^10*T2^9 + 2*T1^11*T2^9 - 
      18*T1^12*T2^9 + 17*T1^13*T2^9 - 6*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 15*T1^2*T2^10 + 76*T1^3*T2^10 - 87*T1^4*T2^10 - 
      73*T1^5*T2^10 + 141*T1^6*T2^10 - 39*T1^7*T2^10 - 83*T1^8*T2^10 + 
      91*T1^9*T2^10 - 19*T1^10*T2^10 - 47*T1^11*T2^10 + 35*T1^12*T2^10 - 
      31*T1^13*T2^10 + 13*T1^14*T2^10 - 12*T1^15*T2^10 + 3*T1^16*T2^10 - 
      4*T1^3*T2^11 - 20*T1^4*T2^11 + 127*T1^5*T2^11 - 87*T1^6*T2^11 - 
      36*T1^7*T2^11 + 42*T1^8*T2^11 + 2*T1^9*T2^11 - 47*T1^10*T2^11 + 
      72*T1^11*T2^11 - 30*T1^12*T2^11 + 11*T1^13*T2^11 + T1^14*T2^11 - 
      4*T1^15*T2^11 + T1^16*T2^11 + 9*T1^4*T2^12 - 28*T1^5*T2^12 - 
      19*T1^6*T2^12 + 72*T1^7*T2^12 - 27*T1^8*T2^12 - 18*T1^9*T2^12 + 
      35*T1^10*T2^12 - 30*T1^11*T2^12 - 19*T1^12*T2^12 + 44*T1^13*T2^12 - 
      23*T1^14*T2^12 + 12*T1^15*T2^12 - 3*T1^16*T2^12 - 2*T1^5*T2^13 + 
      20*T1^6*T2^13 - 45*T1^7*T2^13 + 19*T1^8*T2^13 + 17*T1^9*T2^13 - 
      31*T1^10*T2^13 + 11*T1^11*T2^13 + 44*T1^12*T2^13 - 65*T1^13*T2^13 + 
      24*T1^14*T2^13 - 4*T1^15*T2^13 + T1^16*T2^13 - 3*T1^6*T2^14 + 
      12*T1^7*T2^14 - 11*T1^8*T2^14 - 6*T1^9*T2^14 + 13*T1^10*T2^14 + 
      T1^11*T2^14 - 23*T1^12*T2^14 + 24*T1^13*T2^14 + T1^14*T2^14 - 
      12*T1^15*T2^14 + 3*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      12*T1^10*T2^15 - 4*T1^11*T2^15 + 12*T1^12*T2^15 - 4*T1^13*T2^15 - 
      12*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 3*T1^10*T2^16 + T1^11*T2^16 - 3*T1^12*T2^16 + 
      T1^13*T2^16 + 3*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 649] -> 
  {(1 - 5*T + 11*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 84*T1^3 - 90*T1^4 + 84*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 145*T1^3*T2 + 100*T1^4*T2 - 
     45*T1^5*T2 - 20*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 237*T1^3*T2^2 + 290*T1^4*T2^2 - 
     352*T1^5*T2^2 + 378*T1^6*T2^2 - 435*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 84*T2^3 - 145*T1*T2^3 - 237*T1^2*T2^3 + 
     813*T1^3*T2^3 - 417*T1^4*T2^3 + 343*T1^5*T2^3 - 202*T1^6*T2^3 + 
     118*T1^7*T2^3 + 563*T1^8*T2^3 - 369*T1^9*T2^3 + 10*T1^10*T2^3 + 
     42*T1^11*T2^3 - 90*T2^4 + 100*T1*T2^4 + 290*T1^2*T2^4 - 417*T1^3*T2^4 - 
     718*T1^4*T2^4 + 689*T1^5*T2^4 - 796*T1^6*T2^4 + 709*T1^7*T2^4 - 
     1138*T1^8*T2^4 + 143*T1^9*T2^4 + 250*T1^10*T2^4 - 60*T1^11*T2^4 - 
     30*T1^12*T2^4 + 84*T2^5 - 45*T1*T2^5 - 352*T1^2*T2^5 + 343*T1^3*T2^5 + 
     689*T1^4*T2^5 - 41*T1^5*T2^5 + 40*T1^6*T2^5 + 79*T1^7*T2^5 + 
     359*T1^8*T2^5 + 550*T1^9*T2^5 - 228*T1^10*T2^5 - 151*T1^11*T2^5 + 
     80*T1^12*T2^5 + 14*T1^13*T2^5 - 66*T2^6 - 20*T1*T2^6 + 378*T1^2*T2^6 - 
     202*T1^3*T2^6 - 796*T1^4*T2^6 + 40*T1^5*T2^6 - 337*T1^6*T2^6 + 
     463*T1^7*T2^6 - 877*T1^8*T2^6 + 66*T1^9*T2^6 - 426*T1^10*T2^6 + 
     304*T1^11*T2^6 + 34*T1^12*T2^6 - 70*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     435*T1^2*T2^7 + 118*T1^3*T2^7 + 709*T1^4*T2^7 + 79*T1^5*T2^7 + 
     463*T1^6*T2^7 - 646*T1^7*T2^7 + 624*T1^8*T2^7 + 213*T1^9*T2^7 + 
     14*T1^10*T2^7 + 212*T1^11*T2^7 - 317*T1^12*T2^7 + 93*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     563*T1^3*T2^8 - 1138*T1^4*T2^8 + 359*T1^5*T2^8 - 877*T1^6*T2^8 + 
     624*T1^7*T2^8 + 72*T1^8*T2^8 - 704*T1^9*T2^8 + 359*T1^10*T2^8 - 
     359*T1^11*T2^8 + 246*T1^12*T2^8 + 73*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     369*T1^3*T2^9 + 143*T1^4*T2^9 + 550*T1^5*T2^9 + 66*T1^6*T2^9 + 
     213*T1^7*T2^9 - 704*T1^8*T2^9 + 566*T1^9*T2^9 - 37*T1^10*T2^9 + 
     T1^11*T2^9 + 53*T1^12*T2^9 - 292*T1^13*T2^9 + 159*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 + 10*T1^3*T2^10 + 
     250*T1^4*T2^10 - 228*T1^5*T2^10 - 426*T1^6*T2^10 + 14*T1^7*T2^10 + 
     359*T1^8*T2^10 - 37*T1^9*T2^10 - 181*T1^10*T2^10 + 40*T1^11*T2^10 - 
     56*T1^12*T2^10 + 278*T1^13*T2^10 - 94*T1^14*T2^10 - 40*T1^15*T2^10 + 
     22*T1^16*T2^10 + 42*T1^3*T2^11 - 60*T1^4*T2^11 - 151*T1^5*T2^11 + 
     304*T1^6*T2^11 + 212*T1^7*T2^11 - 359*T1^8*T2^11 + T1^9*T2^11 + 
     40*T1^10*T2^11 + 41*T1^11*T2^11 + 73*T1^12*T2^11 - 267*T1^13*T2^11 + 
     50*T1^14*T2^11 + 65*T1^15*T2^11 - 28*T1^16*T2^11 - 30*T1^4*T2^12 + 
     80*T1^5*T2^12 + 34*T1^6*T2^12 - 317*T1^7*T2^12 + 246*T1^8*T2^12 + 
     53*T1^9*T2^12 - 56*T1^10*T2^12 + 73*T1^11*T2^12 - 174*T1^12*T2^12 + 
     243*T1^13*T2^12 - 6*T1^14*T2^12 - 80*T1^15*T2^12 + 30*T1^16*T2^12 + 
     14*T1^5*T2^13 - 70*T1^6*T2^13 + 93*T1^7*T2^13 + 73*T1^8*T2^13 - 
     292*T1^9*T2^13 + 278*T1^10*T2^13 - 267*T1^11*T2^13 + 243*T1^12*T2^13 - 
     177*T1^13*T2^13 - 39*T1^14*T2^13 + 85*T1^15*T2^13 - 28*T1^16*T2^13 + 
     25*T1^7*T2^14 - 102*T1^8*T2^14 + 159*T1^9*T2^14 - 94*T1^10*T2^14 + 
     50*T1^11*T2^14 - 6*T1^12*T2^14 - 39*T1^13*T2^14 + 118*T1^14*T2^14 - 
     85*T1^15*T2^14 + 22*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     5*T1^9*T2^15 - 40*T1^10*T2^15 + 65*T1^11*T2^15 - 80*T1^12*T2^15 + 
     85*T1^13*T2^15 - 85*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 22*T1^10*T2^16 - 28*T1^11*T2^16 + 
     30*T1^12*T2^16 - 28*T1^13*T2^16 + 22*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 650] -> {(1 - 4*T + 7*T^2 - 4*T^3 + T^4)/T^2, 
   (-2 + 8*T1 - 16*T1^2 + 8*T1^3 - 2*T1^4 + 8*T2 - 26*T1*T2 + 45*T1^2*T2 + 
     T1^3*T2 - 6*T1^4*T2 + 4*T1^5*T2 - 16*T2^2 + 45*T1*T2^2 - 69*T1^2*T2^2 - 
     37*T1^3*T2^2 + 15*T1^4*T2^2 - 11*T1^5*T2^2 - 2*T1^6*T2^2 + 8*T2^3 + 
     T1*T2^3 - 37*T1^2*T2^3 + 180*T1^3*T2^3 - 68*T1^4*T2^3 + 19*T1^5*T2^3 + 
     21*T1^6*T2^3 - 4*T1^7*T2^3 - 2*T2^4 - 6*T1*T2^4 + 15*T1^2*T2^4 - 
     68*T1^3*T2^4 - 84*T1^4*T2^4 + 108*T1^5*T2^4 - 85*T1^6*T2^4 + 
     10*T1^7*T2^4 + 2*T1^8*T2^4 + 4*T1*T2^5 - 11*T1^2*T2^5 + 19*T1^3*T2^5 + 
     108*T1^4*T2^5 - 140*T1^5*T2^5 + 75*T1^6*T2^5 + 9*T1^7*T2^5 - 
     8*T1^8*T2^5 - 2*T1^2*T2^6 + 21*T1^3*T2^6 - 85*T1^4*T2^6 + 75*T1^5*T2^6 - 
     T1^6*T2^6 - 35*T1^7*T2^6 + 12*T1^8*T2^6 - 4*T1^3*T2^7 + 10*T1^4*T2^7 + 
     9*T1^5*T2^7 - 35*T1^6*T2^7 + 30*T1^7*T2^7 - 8*T1^8*T2^7 + 2*T1^4*T2^8 - 
     8*T1^5*T2^8 + 12*T1^6*T2^8 - 8*T1^7*T2^8 + 2*T1^8*T2^8)/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 651] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-33 + 181*T1 - 460*T1^2 + 607*T1^3 - 460*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1777*T1^2*T2 - 1425*T1^3*T2 + 5*T1^4*T2 + 
     919*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 460*T2^2 + 1777*T1*T2^2 - 
     2572*T1^2*T2^2 - 678*T1^3*T2^2 + 4090*T1^4*T2^2 - 3590*T1^5*T2^2 + 
     340*T1^6*T2^2 + 545*T1^7*T2^2 - 236*T1^8*T2^2 + 607*T2^3 - 
     1425*T1*T2^3 - 678*T1^2*T2^3 + 8606*T1^3*T2^3 - 9602*T1^4*T2^3 + 
     1760*T1^5*T2^3 + 5252*T1^6*T2^3 - 2890*T1^7*T2^3 + 401*T1^8*T2^3 + 
     163*T1^9*T2^3 - 460*T2^4 + 5*T1*T2^4 + 4090*T1^2*T2^4 - 9602*T1^3*T2^4 - 
     1275*T1^4*T2^4 + 15989*T1^5*T2^4 - 16615*T1^6*T2^4 + 3274*T1^7*T2^4 + 
     1408*T1^8*T2^4 - 831*T1^9*T2^4 - 12*T1^10*T2^4 + 181*T2^5 + 
     919*T1*T2^5 - 3590*T1^2*T2^5 + 1760*T1^3*T2^5 + 15989*T1^4*T2^5 - 
     23302*T1^5*T2^5 + 9432*T1^6*T2^5 + 8541*T1^7*T2^5 - 6574*T1^8*T2^5 + 
     1422*T1^9*T2^5 + 281*T1^10*T2^5 - 39*T1^11*T2^5 - 33*T2^6 - 
     570*T1*T2^6 + 340*T1^2*T2^6 + 5252*T1^3*T2^6 - 16615*T1^4*T2^6 + 
     9432*T1^5*T2^6 + 10416*T1^6*T2^6 - 19016*T1^7*T2^6 + 6917*T1^8*T2^6 + 
     668*T1^9*T2^6 - 1176*T1^10*T2^6 + 134*T1^11*T2^6 + 15*T1^12*T2^6 + 
     137*T1*T2^7 + 545*T1^2*T2^7 - 2890*T1^3*T2^7 + 3274*T1^4*T2^7 + 
     8541*T1^5*T2^7 - 19016*T1^6*T2^7 + 13718*T1^7*T2^7 + 1093*T1^8*T2^7 - 
     5060*T1^9*T2^7 + 2122*T1^10*T2^7 - 93*T1^11*T2^7 - 83*T1^12*T2^7 - 
     236*T1^2*T2^8 + 401*T1^3*T2^8 + 1408*T1^4*T2^8 - 6574*T1^5*T2^8 + 
     6917*T1^6*T2^8 + 1093*T1^7*T2^8 - 8423*T1^8*T2^8 + 6302*T1^9*T2^8 - 
     1274*T1^10*T2^8 - 435*T1^11*T2^8 + 212*T1^12*T2^8 + 163*T1^3*T2^9 - 
     831*T1^4*T2^9 + 1422*T1^5*T2^9 + 668*T1^6*T2^9 - 5060*T1^7*T2^9 + 
     6302*T1^8*T2^9 - 2686*T1^9*T2^9 - 790*T1^10*T2^9 + 995*T1^11*T2^9 - 
     281*T1^12*T2^9 - 12*T1^4*T2^10 + 281*T1^5*T2^10 - 1176*T1^6*T2^10 + 
     2122*T1^7*T2^10 - 1274*T1^8*T2^10 - 790*T1^9*T2^10 + 1736*T1^10*T2^10 - 
     951*T1^11*T2^10 + 212*T1^12*T2^10 - 39*T1^5*T2^11 + 134*T1^6*T2^11 - 
     93*T1^7*T2^11 - 435*T1^8*T2^11 + 995*T1^9*T2^11 - 951*T1^10*T2^11 + 
     420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 83*T1^7*T2^12 + 
     212*T1^8*T2^12 - 281*T1^9*T2^12 + 212*T1^10*T2^12 - 83*T1^11*T2^12 + 
     15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 652] -> 
  {-((1 - 5*T + 15*T^2 - 30*T^3 + 37*T^4 - 30*T^5 + 15*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 75*T1^2 + 150*T1^3 - 185*T1^4 + 150*T1^5 - 
      75*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 275*T1^2*T2 - 
      450*T1^3*T2 + 325*T1^4*T2 - 10*T1^5*T2 - 225*T1^6*T2 + 175*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 75*T2^2 + 275*T1*T2^2 - 667*T1^2*T2^2 + 
      958*T1^3*T2^2 - 406*T1^4*T2^2 - 161*T1^5*T2^2 + 254*T1^6*T2^2 + 
      208*T1^7*T2^2 - 247*T1^8*T2^2 + 125*T1^9*T2^2 - 45*T1^10*T2^2 + 
      150*T2^3 - 450*T1*T2^3 + 958*T1^2*T2^3 - 997*T1^3*T2^3 - 
      492*T1^4*T2^3 + 823*T1^5*T2^3 - 152*T1^6*T2^3 - 897*T1^7*T2^3 + 
      293*T1^8*T2^3 + 58*T1^9*T2^3 - 75*T1^10*T2^3 + 60*T1^11*T2^3 - 
      185*T2^4 + 325*T1*T2^4 - 406*T1^2*T2^4 - 492*T1^3*T2^4 + 
      2589*T1^4*T2^4 - 644*T1^5*T2^4 - 1573*T1^6*T2^4 + 2256*T1^7*T2^4 + 
      417*T1^8*T2^4 - 732*T1^9*T2^4 + 314*T1^10*T2^4 - 115*T1^11*T2^4 - 
      37*T1^12*T2^4 + 150*T2^5 - 10*T1*T2^5 - 161*T1^2*T2^5 + 823*T1^3*T2^5 - 
      644*T1^4*T2^5 - 5227*T1^5*T2^5 + 6006*T1^6*T2^5 - 2169*T1^7*T2^5 - 
      3637*T1^8*T2^5 + 2011*T1^9*T2^5 - 302*T1^10*T2^5 - 86*T1^11*T2^5 + 
      185*T1^12*T2^5 - 75*T2^6 - 225*T1*T2^6 + 254*T1^2*T2^6 - 
      152*T1^3*T2^6 - 1573*T1^4*T2^6 + 6006*T1^5*T2^6 + 619*T1^6*T2^6 - 
      8765*T1^7*T2^6 + 11299*T1^8*T2^6 - 2844*T1^9*T2^6 - 703*T1^10*T2^6 + 
      598*T1^11*T2^6 - 286*T1^12*T2^6 - 75*T1^13*T2^6 + 15*T1^14*T2^6 + 
      25*T2^7 + 175*T1*T2^7 + 208*T1^2*T2^7 - 897*T1^3*T2^7 + 
      2256*T1^4*T2^7 - 2169*T1^5*T2^7 - 8765*T1^6*T2^7 + 13446*T1^7*T2^7 - 
      7464*T1^8*T2^7 - 4415*T1^9*T2^7 + 4656*T1^10*T2^7 - 1379*T1^11*T2^7 + 
      168*T1^12*T2^7 + 208*T1^13*T2^7 - 25*T1^14*T2^7 - 10*T1^15*T2^7 - 
      5*T2^8 - 75*T1*T2^8 - 247*T1^2*T2^8 + 293*T1^3*T2^8 + 417*T1^4*T2^8 - 
      3637*T1^5*T2^8 + 11299*T1^6*T2^8 - 7464*T1^7*T2^8 - 4272*T1^8*T2^8 + 
      11696*T1^9*T2^8 - 5681*T1^10*T2^8 - 127*T1^11*T2^8 + 713*T1^12*T2^8 - 
      397*T1^13*T2^8 + 23*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 
      20*T1*T2^9 + 125*T1^2*T2^9 + 58*T1^3*T2^9 - 732*T1^4*T2^9 + 
      2011*T1^5*T2^9 - 2844*T1^6*T2^9 - 4415*T1^7*T2^9 + 11696*T1^8*T2^9 - 
      9214*T1^9*T2^9 - 65*T1^10*T2^9 + 3981*T1^11*T2^9 - 1624*T1^12*T2^9 + 
      333*T1^13*T2^9 + 58*T1^14*T2^9 - 75*T1^15*T2^9 - 15*T1^16*T2^9 - 
      45*T1^2*T2^10 - 75*T1^3*T2^10 + 314*T1^4*T2^10 - 302*T1^5*T2^10 - 
      703*T1^6*T2^10 + 4656*T1^7*T2^10 - 5681*T1^8*T2^10 - 65*T1^9*T2^10 + 
      4999*T1^10*T2^10 - 4194*T1^11*T2^10 + 167*T1^12*T2^10 + 
      448*T1^13*T2^10 - 226*T1^14*T2^10 + 75*T1^15*T2^10 + 45*T1^16*T2^10 + 
      60*T1^3*T2^11 - 115*T1^4*T2^11 - 86*T1^5*T2^11 + 598*T1^6*T2^11 - 
      1379*T1^7*T2^11 - 127*T1^8*T2^11 + 3981*T1^9*T2^11 - 4194*T1^10*T2^11 + 
      1463*T1^11*T2^11 + 1276*T1^12*T2^11 - 527*T1^13*T2^11 - 
      11*T1^14*T2^11 + 80*T1^15*T2^11 - 90*T1^16*T2^11 - 37*T1^4*T2^12 + 
      185*T1^5*T2^12 - 286*T1^6*T2^12 + 168*T1^7*T2^12 + 713*T1^8*T2^12 - 
      1624*T1^9*T2^12 + 167*T1^10*T2^12 + 1276*T1^11*T2^12 - 
      1459*T1^12*T2^12 - 72*T1^13*T2^12 + 434*T1^14*T2^12 - 255*T1^15*T2^12 + 
      111*T1^16*T2^12 - 75*T1^6*T2^13 + 208*T1^7*T2^13 - 397*T1^8*T2^13 + 
      333*T1^9*T2^13 + 448*T1^10*T2^13 - 527*T1^11*T2^13 - 72*T1^12*T2^13 + 
      893*T1^13*T2^13 - 692*T1^14*T2^13 + 300*T1^15*T2^13 - 90*T1^16*T2^13 + 
      15*T1^6*T2^14 - 25*T1^7*T2^14 + 23*T1^8*T2^14 + 58*T1^9*T2^14 - 
      226*T1^10*T2^14 - 11*T1^11*T2^14 + 434*T1^12*T2^14 - 692*T1^13*T2^14 + 
      443*T1^14*T2^14 - 175*T1^15*T2^14 + 45*T1^16*T2^14 - 10*T1^7*T2^15 + 
      35*T1^8*T2^15 - 75*T1^9*T2^15 + 75*T1^10*T2^15 + 80*T1^11*T2^15 - 
      255*T1^12*T2^15 + 300*T1^13*T2^15 - 175*T1^14*T2^15 + 65*T1^15*T2^15 - 
      15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 45*T1^10*T2^16 - 
      90*T1^11*T2^16 + 111*T1^12*T2^16 - 90*T1^13*T2^16 + 45*T1^14*T2^16 - 
      15*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 653] -> 
  {-((1 - 4*T + 5*T^2 - 6*T^3 + 7*T^4 - 6*T^5 + 5*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 35*T1^2 + 42*T1^3 - 49*T1^4 + 42*T1^5 - 35*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 44*T1^2*T2 - 48*T1^3*T2 + 
      52*T1^4*T2 - 4*T1^6*T2 + 8*T1^7*T2 - 68*T1^8*T2 + 24*T1^9*T2 - 
      35*T2^2 + 44*T1*T2^2 + 181*T1^2*T2^2 - 166*T1^3*T2^2 + 198*T1^4*T2^2 - 
      301*T1^5*T2^2 + 218*T1^6*T2^2 - 186*T1^7*T2^2 + 221*T1^8*T2^2 + 
      4*T1^9*T2^2 - 25*T1^10*T2^2 + 42*T2^3 - 48*T1*T2^3 - 166*T1^2*T2^3 - 
      24*T1^3*T2^3 - 13*T1^4*T2^3 + 100*T1^5*T2^3 + 38*T1^6*T2^3 + 
      9*T1^7*T2^3 - 78*T1^8*T2^3 - 156*T1^9*T2^3 + 4*T1^10*T2^3 + 
      24*T1^11*T2^3 - 49*T2^4 + 52*T1*T2^4 + 198*T1^2*T2^4 - 13*T1^3*T2^4 + 
      186*T1^4*T2^4 - 289*T1^5*T2^4 + 160*T1^6*T2^4 - 249*T1^7*T2^4 + 
      258*T1^8*T2^4 + 11*T1^9*T2^4 + 146*T1^10*T2^4 - 12*T1^11*T2^4 - 
      21*T1^12*T2^4 + 42*T2^5 - 301*T1^2*T2^5 + 100*T1^3*T2^5 - 
      289*T1^4*T2^5 + 294*T1^5*T2^5 - 104*T1^6*T2^5 + 160*T1^7*T2^5 - 
      90*T1^8*T2^5 - 181*T1^9*T2^5 + 10*T1^10*T2^5 - 145*T1^11*T2^5 + 
      36*T1^12*T2^5 + 12*T1^13*T2^5 - 35*T2^6 - 4*T1*T2^6 + 218*T1^2*T2^6 + 
      38*T1^3*T2^6 + 160*T1^4*T2^6 - 104*T1^5*T2^6 - 61*T1^6*T2^6 - 
      65*T1^7*T2^6 + 7*T1^8*T2^6 + 152*T1^9*T2^6 + 74*T1^10*T2^6 + 
      58*T1^11*T2^6 + 54*T1^12*T2^6 - 28*T1^13*T2^6 - 5*T1^14*T2^6 + 
      28*T2^7 + 8*T1*T2^7 - 186*T1^2*T2^7 + 9*T1^3*T2^7 - 249*T1^4*T2^7 + 
      160*T1^5*T2^7 - 65*T1^6*T2^7 + 226*T1^7*T2^7 - 90*T1^8*T2^7 - 
      33*T1^9*T2^7 - 120*T1^10*T2^7 - 85*T1^11*T2^7 - 5*T1^12*T2^7 - 
      16*T1^13*T2^7 + 20*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 221*T1^2*T2^8 - 
      78*T1^3*T2^8 + 258*T1^4*T2^8 - 90*T1^5*T2^8 + 7*T1^6*T2^8 - 
      90*T1^7*T2^8 - 156*T1^8*T2^8 + 206*T1^9*T2^8 - 73*T1^10*T2^8 + 
      222*T1^11*T2^8 - 50*T1^12*T2^8 + 26*T1^13*T2^8 - 23*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 4*T1^2*T2^9 - 156*T1^3*T2^9 + 
      11*T1^4*T2^9 - 181*T1^5*T2^9 + 152*T1^6*T2^9 - 33*T1^7*T2^9 + 
      206*T1^8*T2^9 - 110*T1^9*T2^9 - T1^10*T2^9 - 128*T1^11*T2^9 - 
      17*T1^12*T2^9 - 3*T1^13*T2^9 + 14*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 25*T1^2*T2^10 + 4*T1^3*T2^10 + 146*T1^4*T2^10 + 
      10*T1^5*T2^10 + 74*T1^6*T2^10 - 120*T1^7*T2^10 - 73*T1^8*T2^10 - 
      T1^9*T2^10 - 5*T1^10*T2^10 + 136*T1^11*T2^10 - 12*T1^12*T2^10 + 
      30*T1^13*T2^10 - 18*T1^14*T2^10 - 20*T1^15*T2^10 + 5*T1^16*T2^10 + 
      24*T1^3*T2^11 - 12*T1^4*T2^11 - 145*T1^5*T2^11 + 58*T1^6*T2^11 - 
      85*T1^7*T2^11 + 222*T1^8*T2^11 - 128*T1^9*T2^11 + 136*T1^10*T2^11 - 
      162*T1^11*T2^11 + 23*T1^12*T2^11 - 32*T1^13*T2^11 + 11*T1^14*T2^11 + 
      24*T1^15*T2^11 - 6*T1^16*T2^11 - 21*T1^4*T2^12 + 36*T1^5*T2^12 + 
      54*T1^6*T2^12 - 5*T1^7*T2^12 - 50*T1^8*T2^12 - 17*T1^9*T2^12 - 
      12*T1^10*T2^12 + 23*T1^11*T2^12 + 22*T1^12*T2^12 + 19*T1^13*T2^12 + 
      2*T1^14*T2^12 - 28*T1^15*T2^12 + 7*T1^16*T2^12 + 12*T1^5*T2^13 - 
      28*T1^6*T2^13 - 16*T1^7*T2^13 + 26*T1^8*T2^13 - 3*T1^9*T2^13 + 
      30*T1^10*T2^13 - 32*T1^11*T2^13 + 19*T1^12*T2^13 - 28*T1^13*T2^13 - 
      6*T1^14*T2^13 + 24*T1^15*T2^13 - 6*T1^16*T2^13 - 5*T1^6*T2^14 + 
      20*T1^7*T2^14 - 23*T1^8*T2^14 + 14*T1^9*T2^14 - 18*T1^10*T2^14 + 
      11*T1^11*T2^14 + 2*T1^12*T2^14 - 6*T1^13*T2^14 + 17*T1^14*T2^14 - 
      20*T1^15*T2^14 + 5*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      20*T1^10*T2^15 + 24*T1^11*T2^15 - 28*T1^12*T2^15 + 24*T1^13*T2^15 - 
      20*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 5*T1^10*T2^16 - 6*T1^11*T2^16 + 7*T1^12*T2^16 - 
      6*T1^13*T2^16 + 5*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 654] -> 
  {-(((1 - 3*T + T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3), 
   -((-41 + 164*T1 - 184*T1^2 + 143*T1^3 - 184*T1^4 + 164*T1^5 - 41*T1^6 + 
      164*T2 - 524*T1*T2 + 208*T1^2*T2 + 20*T1^3*T2 + 276*T1^4*T2 - 
      64*T1^5*T2 - 364*T1^6*T2 + 132*T1^7*T2 - 184*T2^2 + 208*T1*T2^2 + 
      1156*T1^2*T2^2 - 1248*T1^3*T2^2 + 482*T1^4*T2^2 - 1212*T1^5*T2^2 + 
      1408*T1^6*T2^2 - 80*T1^7*T2^2 - 112*T1^8*T2^2 + 143*T2^3 + 20*T1*T2^3 - 
      1248*T1^2*T2^3 + 418*T1^3*T2^3 + 344*T1^4*T2^3 + 782*T1^5*T2^3 - 
      428*T1^6*T2^3 - 906*T1^7*T2^3 + 212*T1^8*T2^3 + 59*T1^9*T2^3 - 
      184*T2^4 + 276*T1*T2^4 + 482*T1^2*T2^4 + 344*T1^3*T2^4 - 
      725*T1^4*T2^4 - 217*T1^5*T2^4 - 109*T1^6*T2^4 + 624*T1^7*T2^4 + 
      234*T1^8*T2^4 - 76*T1^9*T2^4 - 40*T1^10*T2^4 + 164*T2^5 - 64*T1*T2^5 - 
      1212*T1^2*T2^5 + 782*T1^3*T2^5 - 217*T1^4*T2^5 + 1043*T1^5*T2^5 - 
      821*T1^6*T2^5 - 64*T1^7*T2^5 + 28*T1^8*T2^5 - 330*T1^9*T2^5 + 
      144*T1^10*T2^5 + 4*T1^11*T2^5 - 41*T2^6 - 364*T1*T2^6 + 
      1408*T1^2*T2^6 - 428*T1^3*T2^6 - 109*T1^4*T2^6 - 821*T1^5*T2^6 + 
      96*T1^6*T2^6 + 941*T1^7*T2^6 - 551*T1^8*T2^6 + 412*T1^9*T2^6 - 
      100*T1^10*T2^6 - 44*T1^11*T2^6 + 7*T1^12*T2^6 + 132*T1*T2^7 - 
      80*T1^2*T2^7 - 906*T1^3*T2^7 + 624*T1^4*T2^7 - 64*T1^5*T2^7 + 
      941*T1^6*T2^7 - 923*T1^7*T2^7 + 89*T1^8*T2^7 - 130*T1^9*T2^7 - 
      24*T1^10*T2^7 + 128*T1^11*T2^7 - 28*T1^12*T2^7 - 112*T1^2*T2^8 + 
      212*T1^3*T2^8 + 234*T1^4*T2^8 + 28*T1^5*T2^8 - 551*T1^6*T2^8 + 
      89*T1^7*T2^8 + 65*T1^8*T2^8 + 308*T1^9*T2^8 - 14*T1^10*T2^8 - 
      140*T1^11*T2^8 + 32*T1^12*T2^8 + 59*T1^3*T2^9 - 76*T1^4*T2^9 - 
      330*T1^5*T2^9 + 412*T1^6*T2^9 - 130*T1^7*T2^9 + 308*T1^8*T2^9 - 
      434*T1^9*T2^9 + 12*T1^10*T2^9 + 116*T1^11*T2^9 - 25*T1^12*T2^9 - 
      40*T1^4*T2^10 + 144*T1^5*T2^10 - 100*T1^6*T2^10 - 24*T1^7*T2^10 - 
      14*T1^8*T2^10 + 12*T1^9*T2^10 + 152*T1^10*T2^10 - 144*T1^11*T2^10 + 
      32*T1^12*T2^10 + 4*T1^5*T2^11 - 44*T1^6*T2^11 + 128*T1^7*T2^11 - 
      140*T1^8*T2^11 + 116*T1^9*T2^11 - 144*T1^10*T2^11 + 116*T1^11*T2^11 - 
      28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 32*T1^8*T2^12 - 
      25*T1^9*T2^12 + 32*T1^10*T2^12 - 28*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 655] -> 
  {((1 - T + T^2)*(2 - 3*T^2 + 2*T^4))/T^3, 
   -((49 - 48*T1 - 26*T1^2 + 75*T1^3 - 26*T1^4 - 48*T1^5 + 49*T1^6 - 48*T2 + 
      8*T1*T2 + 61*T1^2*T2 - 49*T1^3*T2 - 33*T1^4*T2 + 65*T1^5*T2 - 
      8*T1^6*T2 - 40*T1^7*T2 - 26*T2^2 + 61*T1*T2^2 - 35*T1^2*T2^2 - 
      40*T1^3*T2^2 + 67*T1^4*T2^2 - 20*T1^5*T2^2 - 47*T1^6*T2^2 + 
      53*T1^7*T2^2 - 18*T1^8*T2^2 + 75*T2^3 - 49*T1*T2^3 - 40*T1^2*T2^3 + 
      92*T1^3*T2^3 - 28*T1^4*T2^3 - 54*T1^5*T2^3 + 72*T1^6*T2^3 - 
      14*T1^7*T2^3 - 17*T1^8*T2^3 + 39*T1^9*T2^3 - 26*T2^4 - 33*T1*T2^4 + 
      67*T1^2*T2^4 - 28*T1^3*T2^4 - 47*T1^4*T2^4 + 59*T1^5*T2^4 - 
      11*T1^6*T2^4 - 40*T1^7*T2^4 + 35*T1^8*T2^4 - 25*T1^9*T2^4 - 
      10*T1^10*T2^4 - 48*T2^5 + 65*T1*T2^5 - 20*T1^2*T2^5 - 54*T1^3*T2^5 + 
      59*T1^4*T2^5 + 11*T1^5*T2^5 - 63*T1^6*T2^5 + 36*T1^7*T2^5 - 
      22*T1^9*T2^5 + 13*T1^10*T2^5 - 8*T1^11*T2^5 + 49*T2^6 - 8*T1*T2^6 - 
      47*T1^2*T2^6 + 72*T1^3*T2^6 - 11*T1^4*T2^6 - 63*T1^5*T2^6 + 
      48*T1^6*T2^6 + 23*T1^7*T2^6 - 29*T1^8*T2^6 + 20*T1^9*T2^6 + 
      5*T1^10*T2^6 + 8*T1^11*T2^6 + T1^12*T2^6 - 40*T1*T2^7 + 53*T1^2*T2^7 - 
      14*T1^3*T2^7 - 40*T1^4*T2^7 + 36*T1^5*T2^7 + 23*T1^6*T2^7 - 
      51*T1^7*T2^7 + 13*T1^8*T2^7 + 14*T1^9*T2^7 - 16*T1^10*T2^7 + 
      T1^11*T2^7 - 18*T1^2*T2^8 - 17*T1^3*T2^8 + 35*T1^4*T2^8 - 
      29*T1^6*T2^8 + 13*T1^7*T2^8 + 7*T1^8*T2^8 - 12*T1^9*T2^8 + 
      3*T1^10*T2^8 - 9*T1^11*T2^8 - 2*T1^12*T2^8 + 39*T1^3*T2^9 - 
      25*T1^4*T2^9 - 22*T1^5*T2^9 + 20*T1^6*T2^9 + 14*T1^7*T2^9 - 
      12*T1^8*T2^9 + 4*T1^10*T2^9 + 7*T1^11*T2^9 + 3*T1^12*T2^9 - 
      10*T1^4*T2^10 + 13*T1^5*T2^10 + 5*T1^6*T2^10 - 16*T1^7*T2^10 + 
      3*T1^8*T2^10 + 4*T1^9*T2^10 - 7*T1^10*T2^10 + 5*T1^11*T2^10 - 
      2*T1^12*T2^10 - 8*T1^5*T2^11 + 8*T1^6*T2^11 + T1^7*T2^11 - 
      9*T1^8*T2^11 + 7*T1^9*T2^11 + 5*T1^10*T2^11 - 8*T1^11*T2^11 + 
      T1^6*T2^12 - 2*T1^8*T2^12 + 3*T1^9*T2^12 - 2*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 656] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-15 + 76*T1 - 176*T1^2 + 223*T1^3 - 176*T1^4 + 76*T1^5 - 15*T1^6 + 
     76*T2 - 348*T1*T2 + 703*T1^2*T2 - 695*T1^3*T2 + 345*T1^4*T2 + 
     43*T1^5*T2 - 108*T1^6*T2 + 36*T1^7*T2 - 176*T2^2 + 703*T1*T2^2 - 
     1099*T1^2*T2^2 + 394*T1^3*T2^2 + 747*T1^4*T2^2 - 1354*T1^5*T2^2 + 
     833*T1^6*T2^2 - 217*T1^7*T2^2 + 8*T1^8*T2^2 + 223*T2^3 - 695*T1*T2^3 + 
     394*T1^2*T2^3 + 1694*T1^3*T2^3 - 3356*T1^4*T2^3 + 2862*T1^5*T2^3 - 
     502*T1^6*T2^3 - 848*T1^7*T2^3 + 585*T1^8*T2^3 - 125*T1^9*T2^3 - 
     176*T2^4 + 345*T1*T2^4 + 747*T1^2*T2^4 - 3356*T1^3*T2^4 + 
     3747*T1^4*T2^4 - 397*T1^5*T2^4 - 3409*T1^6*T2^4 + 3488*T1^7*T2^4 - 
     821*T1^8*T2^4 - 335*T1^9*T2^4 + 192*T1^10*T2^4 + 76*T2^5 + 43*T1*T2^5 - 
     1354*T1^2*T2^5 + 2862*T1^3*T2^5 - 397*T1^4*T2^5 - 5609*T1^5*T2^5 + 
     7505*T1^6*T2^5 - 3318*T1^7*T2^5 - 2104*T1^8*T2^5 + 1912*T1^9*T2^5 - 
     337*T1^10*T2^5 - 124*T1^11*T2^5 - 15*T2^6 - 108*T1*T2^6 + 
     833*T1^2*T2^6 - 502*T1^3*T2^6 - 3409*T1^4*T2^6 + 7505*T1^5*T2^6 - 
     3060*T1^6*T2^6 - 4437*T1^7*T2^6 + 7761*T1^8*T2^6 - 2578*T1^9*T2^6 - 
     499*T1^10*T2^6 + 452*T1^11*T2^6 + 33*T1^12*T2^6 + 36*T1*T2^7 - 
     217*T1^2*T2^7 - 848*T1^3*T2^7 + 3488*T1^4*T2^7 - 3318*T1^5*T2^7 - 
     4437*T1^6*T2^7 + 8677*T1^7*T2^7 - 6239*T1^8*T2^7 - 1478*T1^9*T2^7 + 
     2418*T1^10*T2^7 - 597*T1^11*T2^7 - 164*T1^12*T2^7 + 8*T1^2*T2^8 + 
     585*T1^3*T2^8 - 821*T1^4*T2^8 - 2104*T1^5*T2^8 + 7761*T1^6*T2^8 - 
     6239*T1^7*T2^8 + 605*T1^8*T2^8 + 4740*T1^9*T2^8 - 2389*T1^10*T2^8 - 
     95*T1^11*T2^8 + 376*T1^12*T2^8 - 125*T1^3*T2^9 - 335*T1^4*T2^9 + 
     1912*T1^5*T2^9 - 2578*T1^6*T2^9 - 1478*T1^7*T2^9 + 4740*T1^8*T2^9 - 
     4774*T1^9*T2^9 + 670*T1^10*T2^9 + 945*T1^11*T2^9 - 473*T1^12*T2^9 + 
     192*T1^4*T2^10 - 337*T1^5*T2^10 - 499*T1^6*T2^10 + 2418*T1^7*T2^10 - 
     2389*T1^8*T2^10 + 670*T1^9*T2^10 + 1433*T1^10*T2^10 - 1257*T1^11*T2^10 + 
     376*T1^12*T2^10 - 124*T1^5*T2^11 + 452*T1^6*T2^11 - 597*T1^7*T2^11 - 
     95*T1^8*T2^11 + 945*T1^9*T2^11 - 1257*T1^10*T2^11 + 692*T1^11*T2^11 - 
     164*T1^12*T2^11 + 33*T1^6*T2^12 - 164*T1^7*T2^12 + 376*T1^8*T2^12 - 
     473*T1^9*T2^12 + 376*T1^10*T2^12 - 164*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 657] -> 
  {((1 - T + 3*T^2 - 3*T^3 + T^4)*(1 - 3*T + 3*T^2 - T^3 + T^4))/T^4, 
   (-4 + 16*T1 - 36*T1^2 + 64*T1^3 - 84*T1^4 + 64*T1^5 - 36*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 96*T1^2*T2 - 148*T1^3*T2 + 144*T1^4*T2 - 
     4*T1^5*T2 - 48*T1^6*T2 + 44*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     36*T2^2 + 96*T1*T2^2 - 151*T1^2*T2^2 + 218*T1^3*T2^2 - 153*T1^4*T2^2 - 
     141*T1^5*T2^2 + 63*T1^6*T2^2 + 2*T1^7*T2^2 - 7*T1^8*T2^2 + 
     24*T1^9*T2^2 - 18*T1^10*T2^2 + 64*T2^3 - 148*T1*T2^3 + 218*T1^2*T2^3 - 
     322*T1^3*T2^3 + 196*T1^4*T2^3 + 238*T1^5*T2^3 + 106*T1^6*T2^3 - 
     104*T1^7*T2^3 + 26*T1^8*T2^3 - 34*T1^9*T2^3 + 8*T1^10*T2^3 + 
     16*T1^11*T2^3 - 84*T2^4 + 144*T1*T2^4 - 153*T1^2*T2^4 + 196*T1^3*T2^4 + 
     91*T1^4*T2^4 - 632*T1^5*T2^4 - 107*T1^6*T2^4 - 104*T1^7*T2^4 + 
     235*T1^8*T2^4 - 124*T1^9*T2^4 + 91*T1^10*T2^4 - 64*T1^11*T2^4 + 
     64*T2^5 - 4*T1*T2^5 - 141*T1^2*T2^5 + 238*T1^3*T2^5 - 632*T1^4*T2^5 + 
     894*T1^5*T2^5 + 361*T1^6*T2^5 + 293*T1^7*T2^5 - 446*T1^8*T2^5 + 
     100*T1^9*T2^5 - 30*T1^10*T2^5 + 3*T1^11*T2^5 + 64*T1^12*T2^5 - 
     16*T1^13*T2^5 - 36*T2^6 - 48*T1*T2^6 + 63*T1^2*T2^6 + 106*T1^3*T2^6 - 
     107*T1^4*T2^6 + 361*T1^5*T2^6 - 1290*T1^6*T2^6 - 442*T1^7*T2^6 + 
     606*T1^8*T2^6 + 81*T1^9*T2^6 - 45*T1^10*T2^6 + 34*T1^11*T2^6 - 
     97*T1^12*T2^6 - 8*T1^13*T2^6 + 18*T1^14*T2^6 + 16*T2^7 + 44*T1*T2^7 + 
     2*T1^2*T2^7 - 104*T1^3*T2^7 - 104*T1^4*T2^7 + 293*T1^5*T2^7 - 
     442*T1^6*T2^7 + 2340*T1^7*T2^7 - 1492*T1^8*T2^7 - 34*T1^9*T2^7 - 
     63*T1^10*T2^7 - 20*T1^11*T2^7 + 116*T1^12*T2^7 + 38*T1^13*T2^7 - 
     24*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 7*T1^2*T2^8 + 
     26*T1^3*T2^8 + 235*T1^4*T2^8 - 446*T1^5*T2^8 + 606*T1^6*T2^8 - 
     1492*T1^7*T2^8 - 12*T1^8*T2^8 + 1500*T1^9*T2^8 - 522*T1^10*T2^8 + 
     354*T1^11*T2^8 - 265*T1^12*T2^8 - 22*T1^13*T2^8 + 5*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 
     34*T1^3*T2^9 - 124*T1^4*T2^9 + 100*T1^5*T2^9 + 81*T1^6*T2^9 - 
     34*T1^7*T2^9 + 1500*T1^8*T2^9 - 2332*T1^9*T2^9 + 374*T1^10*T2^9 - 
     275*T1^11*T2^9 + 184*T1^12*T2^9 + 96*T1^13*T2^9 + 2*T1^14*T2^9 - 
     44*T1^15*T2^9 - 16*T1^16*T2^9 - 18*T1^2*T2^10 + 8*T1^3*T2^10 + 
     91*T1^4*T2^10 - 30*T1^5*T2^10 - 45*T1^6*T2^10 - 63*T1^7*T2^10 - 
     522*T1^8*T2^10 + 374*T1^9*T2^10 + 1374*T1^10*T2^10 - 343*T1^11*T2^10 + 
     17*T1^12*T2^10 - 102*T1^13*T2^10 - 69*T1^14*T2^10 + 48*T1^15*T2^10 + 
     36*T1^16*T2^10 + 16*T1^3*T2^11 - 64*T1^4*T2^11 + 3*T1^5*T2^11 + 
     34*T1^6*T2^11 - 20*T1^7*T2^11 + 354*T1^8*T2^11 - 275*T1^9*T2^11 - 
     343*T1^10*T2^11 - 986*T1^11*T2^11 + 712*T1^12*T2^11 - 234*T1^13*T2^11 + 
     147*T1^14*T2^11 + 4*T1^15*T2^11 - 64*T1^16*T2^11 + 64*T1^5*T2^12 - 
     97*T1^6*T2^12 + 116*T1^7*T2^12 - 265*T1^8*T2^12 + 184*T1^9*T2^12 + 
     17*T1^10*T2^12 + 712*T1^11*T2^12 - 121*T1^12*T2^12 - 204*T1^13*T2^12 + 
     147*T1^14*T2^12 - 144*T1^15*T2^12 + 84*T1^16*T2^12 - 16*T1^5*T2^13 - 
     8*T1^6*T2^13 + 38*T1^7*T2^13 - 22*T1^8*T2^13 + 96*T1^9*T2^13 - 
     102*T1^10*T2^13 - 234*T1^11*T2^13 - 204*T1^12*T2^13 + 326*T1^13*T2^13 - 
     214*T1^14*T2^13 + 148*T1^15*T2^13 - 64*T1^16*T2^13 + 18*T1^6*T2^14 - 
     24*T1^7*T2^14 + 5*T1^8*T2^14 + 2*T1^9*T2^14 - 69*T1^10*T2^14 + 
     147*T1^11*T2^14 + 147*T1^12*T2^14 - 214*T1^13*T2^14 + 149*T1^14*T2^14 - 
     96*T1^15*T2^14 + 36*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     44*T1^9*T2^15 + 48*T1^10*T2^15 + 4*T1^11*T2^15 - 144*T1^12*T2^15 + 
     148*T1^13*T2^15 - 96*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 36*T1^10*T2^16 - 64*T1^11*T2^16 + 
     84*T1^12*T2^16 - 64*T1^13*T2^16 + 36*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 658] -> 
  {(1 - 5*T + 12*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 12*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 72*T1^2 + 102*T1^3 - 114*T1^4 + 102*T1^5 - 72*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 235*T1^2*T2 - 210*T1^3*T2 + 
     145*T1^4*T2 - 35*T1^5*T2 - 65*T1^6*T2 + 150*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 72*T2^2 + 235*T1*T2^2 - 285*T1^2*T2^2 - 46*T1^3*T2^2 + 
     203*T1^4*T2^2 - 361*T1^5*T2^2 + 371*T1^6*T2^2 - 334*T1^7*T2^2 - 
     21*T1^8*T2^2 + 115*T1^9*T2^2 - 48*T1^10*T2^2 + 102*T2^3 - 210*T1*T2^3 - 
     46*T1^2*T2^3 + 749*T1^3*T2^3 - 586*T1^4*T2^3 + 513*T1^5*T2^3 - 
     168*T1^6*T2^3 - 70*T1^7*T2^3 + 647*T1^8*T2^3 - 298*T1^9*T2^3 - 
     15*T1^10*T2^3 + 51*T1^11*T2^3 - 114*T2^4 + 145*T1*T2^4 + 203*T1^2*T2^4 - 
     586*T1^3*T2^4 - 576*T1^4*T2^4 + 870*T1^5*T2^4 - 1290*T1^6*T2^4 + 
     1148*T1^7*T2^4 - 1248*T1^8*T2^4 - 8*T1^9*T2^4 + 265*T1^10*T2^4 - 
     65*T1^11*T2^4 - 38*T1^12*T2^4 + 102*T2^5 - 35*T1*T2^5 - 361*T1^2*T2^5 + 
     513*T1^3*T2^5 + 870*T1^4*T2^5 - 450*T1^5*T2^5 + 489*T1^6*T2^5 - 
     35*T1^7*T2^5 + 156*T1^8*T2^5 + 917*T1^9*T2^5 - 238*T1^10*T2^5 - 
     160*T1^11*T2^5 + 105*T1^12*T2^5 + 17*T1^13*T2^5 - 72*T2^6 - 65*T1*T2^6 + 
     371*T1^2*T2^6 - 168*T1^3*T2^6 - 1290*T1^4*T2^6 + 489*T1^5*T2^6 - 
     692*T1^6*T2^6 + 494*T1^7*T2^6 - 788*T1^8*T2^6 - 87*T1^9*T2^6 - 
     686*T1^10*T2^6 + 408*T1^11*T2^6 - 9*T1^12*T2^6 - 85*T1^13*T2^6 + 
     30*T2^7 + 150*T1*T2^7 - 334*T1^2*T2^7 - 70*T1^3*T2^7 + 1148*T1^4*T2^7 - 
     35*T1^5*T2^7 + 494*T1^6*T2^7 - 564*T1^7*T2^7 + 666*T1^8*T2^7 + 
     153*T1^9*T2^7 + 385*T1^10*T2^7 + 177*T1^11*T2^7 - 338*T1^12*T2^7 + 
     134*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     21*T1^2*T2^8 + 647*T1^3*T2^8 - 1248*T1^4*T2^8 + 156*T1^5*T2^8 - 
     788*T1^6*T2^8 + 666*T1^7*T2^8 - 132*T1^8*T2^8 - 590*T1^9*T2^8 + 
     190*T1^10*T2^8 - 564*T1^11*T2^8 + 376*T1^12*T2^8 + 9*T1^13*T2^8 - 
     99*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     115*T1^2*T2^9 - 298*T1^3*T2^9 - 8*T1^4*T2^9 + 917*T1^5*T2^9 - 
     87*T1^6*T2^9 + 153*T1^7*T2^9 - 590*T1^8*T2^9 + 640*T1^9*T2^9 - 
     188*T1^10*T2^9 + 333*T1^11*T2^9 - 54*T1^12*T2^9 - 276*T1^13*T2^9 + 
     170*T1^14*T2^9 - 10*T1^15*T2^9 - 10*T1^16*T2^9 - 48*T1^2*T2^10 - 
     15*T1^3*T2^10 + 265*T1^4*T2^10 - 238*T1^5*T2^10 - 686*T1^6*T2^10 + 
     385*T1^7*T2^10 + 190*T1^8*T2^10 - 188*T1^9*T2^10 + 94*T1^10*T2^10 - 
     191*T1^11*T2^10 - 82*T1^12*T2^10 + 338*T1^13*T2^10 - 115*T1^14*T2^10 - 
     35*T1^15*T2^10 + 24*T1^16*T2^10 + 51*T1^3*T2^11 - 65*T1^4*T2^11 - 
     160*T1^5*T2^11 + 408*T1^6*T2^11 + 177*T1^7*T2^11 - 564*T1^8*T2^11 + 
     333*T1^9*T2^11 - 191*T1^10*T2^11 + 42*T1^11*T2^11 + 224*T1^12*T2^11 - 
     343*T1^13*T2^11 + 41*T1^14*T2^11 + 75*T1^15*T2^11 - 34*T1^16*T2^11 - 
     38*T1^4*T2^12 + 105*T1^5*T2^12 - 9*T1^6*T2^12 - 338*T1^7*T2^12 + 
     376*T1^8*T2^12 - 54*T1^9*T2^12 - 82*T1^10*T2^12 + 224*T1^11*T2^12 - 
     296*T1^12*T2^12 + 240*T1^13*T2^12 + 53*T1^14*T2^12 - 105*T1^15*T2^12 + 
     38*T1^16*T2^12 + 17*T1^5*T2^13 - 85*T1^6*T2^13 + 134*T1^7*T2^13 + 
     9*T1^8*T2^13 - 276*T1^9*T2^13 + 338*T1^10*T2^13 - 343*T1^11*T2^13 + 
     240*T1^12*T2^13 - 93*T1^13*T2^13 - 118*T1^14*T2^13 + 110*T1^15*T2^13 - 
     34*T1^16*T2^13 + 25*T1^7*T2^14 - 99*T1^8*T2^14 + 170*T1^9*T2^14 - 
     115*T1^10*T2^14 + 41*T1^11*T2^14 + 53*T1^12*T2^14 - 118*T1^13*T2^14 + 
     165*T1^14*T2^14 - 95*T1^15*T2^14 + 24*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 10*T1^9*T2^15 - 35*T1^10*T2^15 + 75*T1^11*T2^15 - 
     105*T1^12*T2^15 + 110*T1^13*T2^15 - 95*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 24*T1^10*T2^16 - 
     34*T1^11*T2^16 + 38*T1^12*T2^16 - 34*T1^13*T2^16 + 24*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 659] -> 
  {-((2 - 10*T + 16*T^2 - 17*T^3 + 16*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 204*T1 - 324*T1^2 + 343*T1^3 - 324*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 852*T1*T2 + 801*T1^2*T2 - 417*T1^3*T2 + 243*T1^4*T2 + 
      281*T1^5*T2 - 612*T1^6*T2 + 164*T1^7*T2 - 324*T2^2 + 801*T1*T2^2 + 
      1247*T1^2*T2^2 - 2685*T1^3*T2^2 + 2655*T1^4*T2^2 - 3133*T1^5*T2^2 + 
      2143*T1^6*T2^2 + 161*T1^7*T2^2 - 196*T1^8*T2^2 + 343*T2^3 - 
      417*T1*T2^3 - 2685*T1^2*T2^3 + 2714*T1^3*T2^3 - 1211*T1^4*T2^3 + 
      1417*T1^5*T2^3 + 492*T1^6*T2^3 - 2397*T1^7*T2^3 + 283*T1^8*T2^3 + 
      139*T1^9*T2^3 - 324*T2^4 + 243*T1*T2^4 + 2655*T1^2*T2^4 - 
      1211*T1^3*T2^4 - 440*T1^4*T2^4 - 368*T1^5*T2^4 - 1028*T1^6*T2^4 + 
      1373*T1^7*T2^4 + 1303*T1^8*T2^4 - 357*T1^9*T2^4 - 68*T1^10*T2^4 + 
      204*T2^5 + 281*T1*T2^5 - 3133*T1^2*T2^5 + 1417*T1^3*T2^5 - 
      368*T1^4*T2^5 + 1730*T1^5*T2^5 - 574*T1^6*T2^5 + 80*T1^7*T2^5 - 
      1299*T1^8*T2^5 - 477*T1^9*T2^5 + 321*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 612*T1*T2^6 + 2143*T1^2*T2^6 + 492*T1^3*T2^6 - 
      1028*T1^4*T2^6 - 574*T1^5*T2^6 - 732*T1^6*T2^6 + 1202*T1^7*T2^6 - 
      276*T1^8*T2^6 + 1364*T1^9*T2^6 - 449*T1^10*T2^6 - 52*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 161*T1^2*T2^7 - 2397*T1^3*T2^7 + 
      1373*T1^4*T2^7 + 80*T1^5*T2^7 + 1202*T1^6*T2^7 - 1102*T1^7*T2^7 + 
      528*T1^8*T2^7 - 1343*T1^9*T2^7 + 259*T1^10*T2^7 + 201*T1^11*T2^7 - 
      36*T1^12*T2^7 - 196*T1^2*T2^8 + 283*T1^3*T2^8 + 1303*T1^4*T2^8 - 
      1299*T1^5*T2^8 - 276*T1^6*T2^8 + 528*T1^7*T2^8 - 864*T1^8*T2^8 + 
      1285*T1^9*T2^8 - 49*T1^10*T2^8 - 317*T1^11*T2^8 + 60*T1^12*T2^8 + 
      139*T1^3*T2^9 - 357*T1^4*T2^9 - 477*T1^5*T2^9 + 1364*T1^6*T2^9 - 
      1343*T1^7*T2^9 + 1285*T1^8*T2^9 - 858*T1^9*T2^9 - 189*T1^10*T2^9 + 
      343*T1^11*T2^9 - 65*T1^12*T2^9 - 68*T1^4*T2^10 + 321*T1^5*T2^10 - 
      449*T1^6*T2^10 + 259*T1^7*T2^10 - 49*T1^8*T2^10 - 189*T1^9*T2^10 + 
      447*T1^10*T2^10 - 319*T1^11*T2^10 + 60*T1^12*T2^10 + 4*T1^5*T2^11 - 
      52*T1^6*T2^11 + 201*T1^7*T2^11 - 317*T1^8*T2^11 + 343*T1^9*T2^11 - 
      319*T1^10*T2^11 + 188*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 60*T1^8*T2^12 - 65*T1^9*T2^12 + 60*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 660] -> 
  {((1 - T + T^2)*(1 + 4*T - 9*T^2 + 4*T^3 + T^4))/T^3, 
   (1 + 9*T1 - 34*T1^2 + 53*T1^3 - 36*T1^4 + 7*T1^5 + 3*T1^6 + 9*T2 - 
     23*T1*T2 - 36*T1^2*T2 + 211*T1^3*T2 - 372*T1^4*T2 + 289*T1^5*T2 - 
     63*T1^6*T2 - 24*T1^7*T2 - 34*T2^2 - 36*T1*T2^2 - 145*T1^2*T2^2 + 
     661*T1^3*T2^2 - 1148*T1^4*T2^2 + 1211*T1^5*T2^2 - 720*T1^6*T2^2 + 
     83*T1^7*T2^2 + 51*T1^8*T2^2 + 53*T2^3 + 211*T1*T2^3 + 661*T1^2*T2^3 - 
     1715*T1^3*T2^3 + 1333*T1^4*T2^3 + 337*T1^5*T2^3 - 1481*T1^6*T2^3 + 
     1093*T1^7*T2^3 + 11*T1^8*T2^3 - 48*T1^9*T2^3 - 36*T2^4 - 372*T1*T2^4 - 
     1148*T1^2*T2^4 + 1333*T1^3*T2^4 + 1013*T1^4*T2^4 - 3253*T1^5*T2^4 + 
     2485*T1^6*T2^4 - 5*T1^7*T2^4 - 1080*T1^8*T2^4 - 99*T1^9*T2^4 + 
     15*T1^10*T2^4 + 7*T2^5 + 289*T1*T2^5 + 1211*T1^2*T2^5 + 337*T1^3*T2^5 - 
     3253*T1^4*T2^5 + 3240*T1^5*T2^5 + 329*T1^6*T2^5 - 2867*T1^7*T2^5 + 
     1745*T1^8*T2^5 + 613*T1^9*T2^5 + 61*T1^10*T2^5 + 6*T1^11*T2^5 + 3*T2^6 - 
     63*T1*T2^6 - 720*T1^2*T2^6 - 1481*T1^3*T2^6 + 2485*T1^4*T2^6 + 
     329*T1^5*T2^6 - 3937*T1^6*T2^6 + 3637*T1^7*T2^6 - 338*T1^8*T2^6 - 
     1428*T1^9*T2^6 - 126*T1^10*T2^6 + 18*T1^11*T2^6 - 24*T1*T2^7 + 
     83*T1^2*T2^7 + 1093*T1^3*T2^7 - 5*T1^4*T2^7 - 2867*T1^5*T2^7 + 
     3637*T1^6*T2^7 - 815*T1^7*T2^7 - 2147*T1^8*T2^7 + 1975*T1^9*T2^7 + 
     41*T1^10*T2^7 - 72*T1^11*T2^7 + 51*T1^2*T2^8 + 11*T1^3*T2^8 - 
     1080*T1^4*T2^8 + 1745*T1^5*T2^8 - 338*T1^6*T2^8 - 2147*T1^7*T2^8 + 
     3101*T1^8*T2^8 - 1764*T1^9*T2^8 + 128*T1^10*T2^8 + 102*T1^11*T2^8 - 
     48*T1^3*T2^9 - 99*T1^4*T2^9 + 613*T1^5*T2^9 - 1428*T1^6*T2^9 + 
     1975*T1^7*T2^9 - 1764*T1^8*T2^9 + 925*T1^9*T2^9 - 171*T1^10*T2^9 - 
     72*T1^11*T2^9 + 15*T1^4*T2^10 + 61*T1^5*T2^10 - 126*T1^6*T2^10 + 
     41*T1^7*T2^10 + 128*T1^8*T2^10 - 171*T1^9*T2^10 + 67*T1^10*T2^10 + 
     18*T1^11*T2^10 + 6*T1^5*T2^11 + 18*T1^6*T2^11 - 72*T1^7*T2^11 + 
     102*T1^8*T2^11 - 72*T1^9*T2^11 + 18*T1^10*T2^11 + 6*T1^11*T2^11)/
    (T1^6*T2^5*(-1 + T1*T2))}, Knot[12, NonAlternating, 661] -> 
  {-((2 - 6*T + 5*T^2 - 3*T^3 + 5*T^4 - 6*T^5 + 2*T^6)/T^3), 
   -((-39 + 116*T1 - 96*T1^2 + 57*T1^3 - 96*T1^4 + 116*T1^5 - 39*T1^6 + 
      116*T2 - 252*T1*T2 + 11*T1^2*T2 + 57*T1^3*T2 + 153*T1^4*T2 - 
      121*T1^5*T2 - 156*T1^6*T2 + 92*T1^7*T2 - 96*T2^2 + 11*T1*T2^2 + 
      513*T1^2*T2^2 - 354*T1^3*T2^2 + 11*T1^4*T2^2 - 294*T1^5*T2^2 + 
      573*T1^6*T2^2 - 109*T1^7*T2^2 - 56*T1^8*T2^2 + 57*T2^3 + 57*T1*T2^3 - 
      354*T1^2*T2^3 - 8*T1^3*T2^3 + 164*T1^4*T2^3 + 206*T1^5*T2^3 - 
      248*T1^6*T2^3 - 204*T1^7*T2^3 + 105*T1^8*T2^3 + 21*T1^9*T2^3 - 
      96*T2^4 + 153*T1*T2^4 + 11*T1^2*T2^4 + 164*T1^3*T2^4 - 235*T1^4*T2^4 + 
      41*T1^5*T2^4 - 7*T1^6*T2^4 + 152*T1^7*T2^4 - 5*T1^8*T2^4 - 
      15*T1^9*T2^4 - 16*T1^10*T2^4 + 116*T2^5 - 121*T1*T2^5 - 294*T1^2*T2^5 + 
      206*T1^3*T2^5 + 41*T1^4*T2^5 + 147*T1^5*T2^5 - 243*T1^6*T2^5 + 
      26*T1^7*T2^5 + 56*T1^8*T2^5 - 84*T1^9*T2^5 + 59*T1^10*T2^5 - 
      4*T1^11*T2^5 - 39*T2^6 - 156*T1*T2^6 + 573*T1^2*T2^6 - 248*T1^3*T2^6 - 
      7*T1^4*T2^6 - 243*T1^5*T2^6 + 96*T1^6*T2^6 + 195*T1^7*T2^6 - 
      169*T1^8*T2^6 + 100*T1^9*T2^6 - 71*T1^10*T2^6 - 12*T1^11*T2^6 + 
      9*T1^12*T2^6 + 92*T1*T2^7 - 109*T1^2*T2^7 - 204*T1^3*T2^7 + 
      152*T1^4*T2^7 + 26*T1^5*T2^7 + 195*T1^6*T2^7 - 195*T1^7*T2^7 + 
      11*T1^8*T2^7 + 2*T1^9*T2^7 + 6*T1^10*T2^7 + 71*T1^11*T2^7 - 
      28*T1^12*T2^7 - 56*T1^2*T2^8 + 105*T1^3*T2^8 - 5*T1^4*T2^8 + 
      56*T1^5*T2^8 - 169*T1^6*T2^8 + 11*T1^7*T2^8 + 59*T1^8*T2^8 + 
      44*T1^9*T2^8 - 21*T1^10*T2^8 - 63*T1^11*T2^8 + 24*T1^12*T2^8 + 
      21*T1^3*T2^9 - 15*T1^4*T2^9 - 84*T1^5*T2^9 + 100*T1^6*T2^9 + 
      2*T1^7*T2^9 + 44*T1^8*T2^9 - 140*T1^9*T2^9 + 66*T1^10*T2^9 + 
      33*T1^11*T2^9 - 15*T1^12*T2^9 - 16*T1^4*T2^10 + 59*T1^5*T2^10 - 
      71*T1^6*T2^10 + 6*T1^7*T2^10 - 21*T1^8*T2^10 + 66*T1^9*T2^10 - 
      11*T1^10*T2^10 - 61*T1^11*T2^10 + 24*T1^12*T2^10 - 4*T1^5*T2^11 - 
      12*T1^6*T2^11 + 71*T1^7*T2^11 - 63*T1^8*T2^11 + 33*T1^9*T2^11 - 
      61*T1^10*T2^11 + 84*T1^11*T2^11 - 28*T1^12*T2^11 + 9*T1^6*T2^12 - 
      28*T1^7*T2^12 + 24*T1^8*T2^12 - 15*T1^9*T2^12 + 24*T1^10*T2^12 - 
      28*T1^11*T2^12 + 9*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 662] -> 
  {(2 - 8*T + 13*T^2 - 13*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 124*T1 - 200*T1^2 + 199*T1^3 - 200*T1^4 + 124*T1^5 - 31*T1^6 + 
     124*T2 - 404*T1*T2 + 432*T1^2*T2 - 204*T1^3*T2 + 212*T1^4*T2 + 
     96*T1^5*T2 - 244*T1^6*T2 + 92*T1^7*T2 - 200*T2^2 + 432*T1*T2^2 + 
     88*T1^2*T2^2 - 715*T1^3*T2^2 + 476*T1^4*T2^2 - 975*T1^5*T2^2 + 
     660*T1^6*T2^2 + 16*T1^7*T2^2 - 96*T1^8*T2^2 + 199*T2^3 - 204*T1*T2^3 - 
     715*T1^2*T2^3 + 1104*T1^3*T2^3 - 285*T1^4*T2^3 + 781*T1^5*T2^3 + 
     90*T1^6*T2^3 - 689*T1^7*T2^3 + 212*T1^8*T2^3 + 43*T1^9*T2^3 - 200*T2^4 + 
     212*T1*T2^4 + 476*T1^2*T2^4 - 285*T1^3*T2^4 - 872*T1^4*T2^4 + 
     250*T1^5*T2^4 - 768*T1^6*T2^4 + 651*T1^7*T2^4 + 164*T1^8*T2^4 - 
     204*T1^9*T2^4 + 8*T1^10*T2^4 + 124*T2^5 + 96*T1*T2^5 - 975*T1^2*T2^5 + 
     781*T1^3*T2^5 + 250*T1^4*T2^5 + 711*T1^5*T2^5 - 647*T1^6*T2^5 + 
     341*T1^7*T2^5 - 545*T1^8*T2^5 + 143*T1^9*T2^5 + 112*T1^10*T2^5 - 
     36*T1^11*T2^5 - 31*T2^6 - 244*T1*T2^6 + 660*T1^2*T2^6 + 90*T1^3*T2^6 - 
     768*T1^4*T2^6 - 647*T1^5*T2^6 + 600*T1^6*T2^6 + 287*T1^7*T2^6 - 
     66*T1^8*T2^6 + 402*T1^9*T2^6 - 400*T1^10*T2^6 + 76*T1^11*T2^6 + 
     17*T1^12*T2^6 + 92*T1*T2^7 + 16*T1^2*T2^7 - 689*T1^3*T2^7 + 
     651*T1^4*T2^7 + 341*T1^5*T2^7 + 287*T1^6*T2^7 - 1071*T1^7*T2^7 + 
     432*T1^8*T2^7 - 675*T1^9*T2^7 + 429*T1^10*T2^7 + 32*T1^11*T2^7 - 
     68*T1^12*T2^7 - 96*T1^2*T2^8 + 212*T1^3*T2^8 + 164*T1^4*T2^8 - 
     545*T1^5*T2^8 - 66*T1^6*T2^8 + 432*T1^7*T2^8 + 38*T1^8*T2^8 + 
     391*T1^9*T2^8 - 148*T1^10*T2^8 - 204*T1^11*T2^8 + 112*T1^12*T2^8 + 
     43*T1^3*T2^9 - 204*T1^4*T2^9 + 143*T1^5*T2^9 + 402*T1^6*T2^9 - 
     675*T1^7*T2^9 + 391*T1^8*T2^9 - 612*T1^9*T2^9 + 169*T1^10*T2^9 + 
     212*T1^11*T2^9 - 113*T1^12*T2^9 + 8*T1^4*T2^10 + 112*T1^5*T2^10 - 
     400*T1^6*T2^10 + 429*T1^7*T2^10 - 148*T1^8*T2^10 + 169*T1^9*T2^10 + 
     172*T1^10*T2^10 - 304*T1^11*T2^10 + 112*T1^12*T2^10 - 36*T1^5*T2^11 + 
     76*T1^6*T2^11 + 32*T1^7*T2^11 - 204*T1^8*T2^11 + 212*T1^9*T2^11 - 
     304*T1^10*T2^11 + 236*T1^11*T2^11 - 68*T1^12*T2^11 + 17*T1^6*T2^12 - 
     68*T1^7*T2^12 + 112*T1^8*T2^12 - 113*T1^9*T2^12 + 112*T1^10*T2^12 - 
     68*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 663] -> 
  {-(((1 - 3*T + T^2)*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/T^4), 
   -((-5 + 30*T1 - 75*T1^2 + 115*T1^3 - 125*T1^4 + 115*T1^5 - 75*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 330*T1^3*T2 + 
      198*T1^4*T2 - 90*T1^5*T2 - 102*T1^6*T2 + 180*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 306*T1^2*T2^2 - 167*T1^3*T2^2 + 
      770*T1^4*T2^2 - 854*T1^5*T2^2 + 1070*T1^6*T2^2 - 677*T1^7*T2^2 + 
      114*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 115*T2^3 - 
      330*T1*T2^3 - 167*T1^2*T2^3 + 1203*T1^3*T2^3 - 1683*T1^4*T2^3 + 
      879*T1^5*T2^3 - 819*T1^6*T2^3 - 402*T1^7*T2^3 + 969*T1^8*T2^3 - 
      572*T1^9*T2^3 - 6*T1^10*T2^3 + 46*T1^11*T2^3 - 125*T2^4 + 198*T1*T2^4 + 
      770*T1^2*T2^4 - 1683*T1^3*T2^4 + 1123*T1^4*T2^4 + 702*T1^5*T2^4 - 
      401*T1^6*T2^4 + 1762*T1^7*T2^4 - 1169*T1^8*T2^4 - 119*T1^9*T2^4 + 
      614*T1^10*T2^4 - 126*T1^11*T2^4 - 25*T1^12*T2^4 + 115*T2^5 - 
      90*T1*T2^5 - 854*T1^2*T2^5 + 879*T1^3*T2^5 + 702*T1^4*T2^5 - 
      2310*T1^5*T2^5 + 585*T1^6*T2^5 - 1290*T1^7*T2^5 - 390*T1^8*T2^5 + 
      1382*T1^9*T2^5 - 811*T1^10*T2^5 - 224*T1^11*T2^5 + 150*T1^12*T2^5 - 
      75*T2^6 - 102*T1*T2^6 + 1070*T1^2*T2^6 - 819*T1^3*T2^6 - 
      401*T1^4*T2^6 + 585*T1^5*T2^6 + 2049*T1^6*T2^6 - 849*T1^7*T2^6 + 
      1425*T1^8*T2^6 - 987*T1^9*T2^6 - 347*T1^10*T2^6 + 891*T1^11*T2^6 - 
      142*T1^12*T2^6 - 90*T1^13*T2^6 + 15*T1^14*T2^6 + 30*T2^7 + 
      180*T1*T2^7 - 677*T1^2*T2^7 - 402*T1^3*T2^7 + 1762*T1^4*T2^7 - 
      1290*T1^5*T2^7 - 849*T1^6*T2^7 - 1262*T1^7*T2^7 + 1312*T1^8*T2^7 - 
      914*T1^9*T2^7 + 1191*T1^10*T2^7 - 438*T1^11*T2^7 - 551*T1^12*T2^7 + 
      358*T1^13*T2^7 - 18*T1^14*T2^7 - 12*T1^15*T2^7 - 5*T2^8 - 114*T1*T2^8 + 
      114*T1^2*T2^8 + 969*T1^3*T2^8 - 1169*T1^4*T2^8 - 390*T1^5*T2^8 + 
      1425*T1^6*T2^8 + 1312*T1^7*T2^8 - 1116*T1^8*T2^8 - 432*T1^9*T2^8 + 
      191*T1^10*T2^8 - 1062*T1^11*T2^8 + 1215*T1^12*T2^8 - 317*T1^13*T2^8 - 
      162*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 24*T1*T2^9 + 
      126*T1^2*T2^9 - 572*T1^3*T2^9 - 119*T1^4*T2^9 + 1382*T1^5*T2^9 - 
      987*T1^6*T2^9 - 914*T1^7*T2^9 - 432*T1^8*T2^9 + 2142*T1^9*T2^9 - 
      979*T1^10*T2^9 + 1494*T1^11*T2^9 - 818*T1^12*T2^9 - 268*T1^13*T2^9 + 
      463*T1^14*T2^9 - 72*T1^15*T2^9 - 18*T1^16*T2^9 - 45*T1^2*T2^10 - 
      6*T1^3*T2^10 + 614*T1^4*T2^10 - 811*T1^5*T2^10 - 347*T1^6*T2^10 + 
      1191*T1^7*T2^10 + 191*T1^8*T2^10 - 979*T1^9*T2^10 - 433*T1^10*T2^10 - 
      381*T1^11*T2^10 - 293*T1^12*T2^10 + 899*T1^13*T2^10 - 598*T1^14*T2^10 + 
      6*T1^15*T2^10 + 45*T1^16*T2^10 + 46*T1^3*T2^11 - 126*T1^4*T2^11 - 
      224*T1^5*T2^11 + 891*T1^6*T2^11 - 438*T1^7*T2^11 - 1062*T1^8*T2^11 + 
      1494*T1^9*T2^11 - 381*T1^10*T2^11 + 858*T1^11*T2^11 + 242*T1^12*T2^11 - 
      799*T1^13*T2^11 + 406*T1^14*T2^11 + 114*T1^15*T2^11 - 69*T1^16*T2^11 - 
      25*T1^4*T2^12 + 150*T1^5*T2^12 - 142*T1^6*T2^12 - 551*T1^7*T2^12 + 
      1215*T1^8*T2^12 - 818*T1^9*T2^12 - 293*T1^10*T2^12 + 242*T1^11*T2^12 - 
      1077*T1^12*T2^12 + 1013*T1^13*T2^12 - 298*T1^14*T2^12 - 
      174*T1^15*T2^12 + 75*T1^16*T2^12 - 90*T1^6*T2^13 + 358*T1^7*T2^13 - 
      317*T1^8*T2^13 - 268*T1^9*T2^13 + 899*T1^10*T2^13 - 799*T1^11*T2^13 + 
      1013*T1^12*T2^13 - 551*T1^13*T2^13 - 47*T1^14*T2^13 + 234*T1^15*T2^13 - 
      69*T1^16*T2^13 + 15*T1^6*T2^14 - 18*T1^7*T2^14 - 162*T1^8*T2^14 + 
      463*T1^9*T2^14 - 598*T1^10*T2^14 + 406*T1^11*T2^14 - 298*T1^12*T2^14 - 
      47*T1^13*T2^14 + 258*T1^14*T2^14 - 198*T1^15*T2^14 + 45*T1^16*T2^14 - 
      12*T1^7*T2^15 + 54*T1^8*T2^15 - 72*T1^9*T2^15 + 6*T1^10*T2^15 + 
      114*T1^11*T2^15 - 174*T1^12*T2^15 + 234*T1^13*T2^15 - 198*T1^14*T2^15 + 
      96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 
      45*T1^10*T2^16 - 69*T1^11*T2^16 + 75*T1^12*T2^16 - 69*T1^13*T2^16 + 
      45*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 664] -> 
  {((1 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4, 
   (-4 + 28*T1 - 80*T1^2 + 136*T1^3 - 164*T1^4 + 136*T1^5 - 80*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 413*T1^2*T2 - 532*T1^3*T2 + 
     434*T1^4*T2 - 91*T1^5*T2 - 154*T1^6*T2 + 224*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 80*T2^2 + 413*T1*T2^2 - 612*T1^2*T2^2 + 65*T1^3*T2^2 + 
     908*T1^4*T2^2 - 1934*T1^5*T2^2 + 1748*T1^6*T2^2 - 1015*T1^7*T2^2 + 
     148*T1^8*T2^2 + 133*T1^9*T2^2 - 40*T1^10*T2^2 + 136*T2^3 - 532*T1*T2^3 + 
     65*T1^2*T2^3 + 1836*T1^3*T2^3 - 3337*T1^4*T2^3 + 3753*T1^5*T2^3 - 
     1239*T1^6*T2^3 - 673*T1^7*T2^3 + 1626*T1^8*T2^3 - 855*T1^9*T2^3 + 
     42*T1^10*T2^3 + 34*T1^11*T2^3 - 164*T2^4 + 434*T1*T2^4 + 908*T1^2*T2^4 - 
     3337*T1^3*T2^4 + 3249*T1^4*T2^4 - 1178*T1^5*T2^4 - 3837*T1^6*T2^4 + 
     4390*T1^7*T2^4 - 3043*T1^8*T2^4 + 131*T1^9*T2^4 + 856*T1^10*T2^4 - 
     238*T1^11*T2^4 + 136*T2^5 - 91*T1*T2^5 - 1934*T1^2*T2^5 + 
     3753*T1^3*T2^5 - 1178*T1^4*T2^5 - 2461*T1^5*T2^5 + 6540*T1^6*T2^5 - 
     2556*T1^7*T2^5 - 1119*T1^8*T2^5 + 3627*T1^9*T2^5 - 2247*T1^10*T2^5 + 
     13*T1^11*T2^5 + 238*T1^12*T2^5 - 34*T1^13*T2^5 - 80*T2^6 - 154*T1*T2^6 + 
     1748*T1^2*T2^6 - 1239*T1^3*T2^6 - 3837*T1^4*T2^6 + 6540*T1^5*T2^6 - 
     5837*T1^6*T2^6 - 2385*T1^7*T2^6 + 5179*T1^8*T2^6 - 3740*T1^9*T2^6 - 
     125*T1^10*T2^6 + 2241*T1^11*T2^6 - 876*T1^12*T2^6 - 42*T1^13*T2^6 + 
     40*T1^14*T2^6 + 28*T2^7 + 224*T1*T2^7 - 1015*T1^2*T2^7 - 673*T1^3*T2^7 + 
     4390*T1^4*T2^7 - 2556*T1^5*T2^7 - 2385*T1^6*T2^7 + 8055*T1^7*T2^7 - 
     4843*T1^8*T2^7 - 1509*T1^9*T2^7 + 4172*T1^10*T2^7 - 3467*T1^11*T2^7 - 
     121*T1^12*T2^7 + 865*T1^13*T2^7 - 133*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 148*T1^2*T2^8 + 1626*T1^3*T2^8 - 3043*T1^4*T2^8 - 
     1119*T1^5*T2^8 + 5179*T1^6*T2^8 - 4843*T1^7*T2^8 - 984*T1^8*T2^8 + 
     6039*T1^9*T2^8 - 3081*T1^10*T2^8 + 191*T1^11*T2^8 + 3105*T1^12*T2^8 - 
     1654*T1^13*T2^8 - 150*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 133*T1^2*T2^9 - 855*T1^3*T2^9 + 131*T1^4*T2^9 + 
     3627*T1^5*T2^9 - 3740*T1^6*T2^9 - 1509*T1^7*T2^9 + 6039*T1^8*T2^9 - 
     6859*T1^9*T2^9 - 633*T1^10*T2^9 + 2988*T1^11*T2^9 - 4230*T1^12*T2^9 + 
     683*T1^13*T2^9 + 1025*T1^14*T2^9 - 224*T1^15*T2^9 - 28*T1^16*T2^9 - 
     40*T1^2*T2^10 + 42*T1^3*T2^10 + 856*T1^4*T2^10 - 2247*T1^5*T2^10 - 
     125*T1^6*T2^10 + 4172*T1^7*T2^10 - 3081*T1^8*T2^10 - 633*T1^9*T2^10 + 
     7935*T1^10*T2^10 - 6108*T1^11*T2^10 + 3587*T1^12*T2^10 + 
     1233*T1^13*T2^10 - 1768*T1^14*T2^10 + 154*T1^15*T2^10 + 80*T1^16*T2^10 + 
     34*T1^3*T2^11 - 238*T1^4*T2^11 + 13*T1^5*T2^11 + 2241*T1^6*T2^11 - 
     3467*T1^7*T2^11 + 191*T1^8*T2^11 + 2988*T1^9*T2^11 - 6108*T1^10*T2^11 + 
     1533*T1^11*T2^11 + 1338*T1^12*T2^11 - 3759*T1^13*T2^11 + 
     1960*T1^14*T2^11 + 91*T1^15*T2^11 - 136*T1^16*T2^11 + 238*T1^5*T2^12 - 
     876*T1^6*T2^12 - 121*T1^7*T2^12 + 3105*T1^8*T2^12 - 4230*T1^9*T2^12 + 
     3587*T1^10*T2^12 + 1338*T1^11*T2^12 - 3187*T1^12*T2^12 + 
     3347*T1^13*T2^12 - 928*T1^14*T2^12 - 434*T1^15*T2^12 + 164*T1^16*T2^12 - 
     34*T1^5*T2^13 - 42*T1^6*T2^13 + 865*T1^7*T2^13 - 1654*T1^8*T2^13 + 
     683*T1^9*T2^13 + 1233*T1^10*T2^13 - 3759*T1^11*T2^13 + 
     3347*T1^12*T2^13 - 1864*T1^13*T2^13 - 55*T1^14*T2^13 + 532*T1^15*T2^13 - 
     136*T1^16*T2^13 + 40*T1^6*T2^14 - 133*T1^7*T2^14 - 150*T1^8*T2^14 + 
     1025*T1^9*T2^14 - 1768*T1^10*T2^14 + 1960*T1^11*T2^14 - 
     928*T1^12*T2^14 - 55*T1^13*T2^14 + 610*T1^14*T2^14 - 413*T1^15*T2^14 + 
     80*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 224*T1^9*T2^15 + 
     154*T1^10*T2^15 + 91*T1^11*T2^15 - 434*T1^12*T2^15 + 532*T1^13*T2^15 - 
     413*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 
     28*T1^9*T2^16 + 80*T1^10*T2^16 - 136*T1^11*T2^16 + 164*T1^12*T2^16 - 
     136*T1^13*T2^16 + 80*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 665] -> 
  {-((2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4)/T^2), 
   (2*T1^2 - 4*T1^3 + 2*T1^4 - 9*T1^2*T2 + 8*T1^3*T2 + 8*T1^4*T2 - 
     9*T1^5*T2 + 2*T2^2 - 9*T1*T2^2 + 29*T1^2*T2^2 - 14*T1^3*T2^2 - 
     3*T1^4*T2^2 - 14*T1^5*T2^2 + 29*T1^6*T2^2 - 9*T1^7*T2^2 + 2*T1^8*T2^2 - 
     4*T2^3 + 8*T1*T2^3 - 14*T1^2*T2^3 + 58*T1^3*T2^3 - 223*T1^4*T2^3 + 
     277*T1^5*T2^3 - 182*T1^6*T2^3 + 26*T1^7*T2^3 + 8*T1^8*T2^3 - 
     4*T1^9*T2^3 + 2*T2^4 + 8*T1*T2^4 - 3*T1^2*T2^4 - 223*T1^3*T2^4 + 
     657*T1^4*T2^4 - 403*T1^5*T2^4 - 123*T1^6*T2^4 + 377*T1^7*T2^4 - 
     123*T1^8*T2^4 + 8*T1^9*T2^4 + 2*T1^10*T2^4 - 9*T1*T2^5 - 14*T1^2*T2^5 + 
     277*T1^3*T2^5 - 403*T1^4*T2^5 - 1062*T1^5*T2^5 + 1968*T1^6*T2^5 - 
     1303*T1^7*T2^5 - 23*T1^8*T2^5 + 106*T1^9*T2^5 - 9*T1^10*T2^5 + 
     29*T1^2*T2^6 - 182*T1^3*T2^6 - 123*T1^4*T2^6 + 1968*T1^5*T2^6 - 
     1644*T1^6*T2^6 - 472*T1^7*T2^6 + 1637*T1^8*T2^6 - 422*T1^9*T2^6 - 
     3*T1^10*T2^6 - 9*T1^2*T2^7 + 26*T1^3*T2^7 + 377*T1^4*T2^7 - 
     1303*T1^5*T2^7 - 472*T1^6*T2^7 + 2558*T1^7*T2^7 - 2203*T1^8*T2^7 + 
     77*T1^9*T2^7 + 146*T1^10*T2^7 - 9*T1^11*T2^7 + 2*T1^2*T2^8 + 
     8*T1^3*T2^8 - 123*T1^4*T2^8 - 23*T1^5*T2^8 + 1637*T1^6*T2^8 - 
     2203*T1^7*T2^8 + 857*T1^8*T2^8 + 577*T1^9*T2^8 - 243*T1^10*T2^8 + 
     8*T1^11*T2^8 + 2*T1^12*T2^8 - 4*T1^3*T2^9 + 8*T1^4*T2^9 + 
     106*T1^5*T2^9 - 422*T1^6*T2^9 + 77*T1^7*T2^9 + 577*T1^8*T2^9 - 
     662*T1^9*T2^9 + 146*T1^10*T2^9 + 8*T1^11*T2^9 - 4*T1^12*T2^9 + 
     2*T1^4*T2^10 - 9*T1^5*T2^10 - 3*T1^6*T2^10 + 146*T1^7*T2^10 - 
     243*T1^8*T2^10 + 146*T1^9*T2^10 - 3*T1^10*T2^10 - 9*T1^11*T2^10 + 
     2*T1^12*T2^10 - 9*T1^7*T2^11 + 8*T1^8*T2^11 + 8*T1^9*T2^11 - 
     9*T1^10*T2^11 + 2*T1^8*T2^12 - 4*T1^9*T2^12 + 2*T1^10*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 666] -> 
  {(1 - T + T^2)^4/T^4, ((1 - T1 + T1^2)*(1 - T2 + T2^2)*
     (1 - T1*T2 + T1^2*T2^2)*(-6 + 18*T1 - 36*T1^2 + 42*T1^3 - 36*T1^4 + 
      18*T1^5 - 6*T1^6 + 18*T2 - 40*T1*T2 + 66*T1^2*T2 - 42*T1^3*T2 + 
      10*T1^4*T2 + 30*T1^5*T2 - 24*T1^6*T2 + 14*T1^7*T2 - 36*T2^2 + 
      66*T1*T2^2 - 118*T1^2*T2^2 + 69*T1^3*T2^2 - 48*T1^4*T2^2 + 
      5*T1^5*T2^2 - 38*T1^6*T2^2 + 18*T1^7*T2^2 - 20*T1^8*T2^2 + 42*T2^3 - 
      42*T1*T2^3 + 69*T1^2*T2^3 + 48*T1^3*T2^3 - 27*T1^4*T2^3 + 
      33*T1^5*T2^3 + 56*T1^6*T2^3 - 3*T1^7*T2^3 + 18*T1^8*T2^3 + 
      14*T1^9*T2^3 - 36*T2^4 + 10*T1*T2^4 - 48*T1^2*T2^4 - 27*T1^3*T2^4 - 
      126*T1^4*T2^4 + 146*T1^5*T2^4 - 190*T1^6*T2^4 + 29*T1^7*T2^4 - 
      24*T1^8*T2^4 - 30*T1^9*T2^4 - 4*T1^10*T2^4 + 18*T2^5 + 30*T1*T2^5 + 
      5*T1^2*T2^5 + 33*T1^3*T2^5 + 146*T1^4*T2^5 - 96*T1^5*T2^5 + 
      64*T1^6*T2^5 + 98*T1^7*T2^5 - 35*T1^8*T2^5 + 45*T1^9*T2^5 + 
      18*T1^10*T2^5 - 2*T1^11*T2^5 - 6*T2^6 - 24*T1*T2^6 - 38*T1^2*T2^6 + 
      56*T1^3*T2^6 - 190*T1^4*T2^6 + 64*T1^5*T2^6 + 12*T1^6*T2^6 - 
      104*T1^7*T2^6 + 2*T1^8*T2^6 - 38*T1^10*T2^6 + 2*T1^12*T2^6 + 
      14*T1*T2^7 + 18*T1^2*T2^7 - 3*T1^3*T2^7 + 29*T1^4*T2^7 + 98*T1^5*T2^7 - 
      104*T1^6*T2^7 + 56*T1^7*T2^7 + 50*T1^8*T2^7 - 39*T1^9*T2^7 + 
      37*T1^10*T2^7 + 6*T1^11*T2^7 - 6*T1^12*T2^7 - 20*T1^2*T2^8 + 
      18*T1^3*T2^8 - 24*T1^4*T2^8 - 35*T1^5*T2^8 + 2*T1^6*T2^8 + 
      50*T1^7*T2^8 - 62*T1^8*T2^8 + 21*T1^9*T2^8 - 22*T1^11*T2^8 + 
      12*T1^12*T2^8 + 14*T1^3*T2^9 - 30*T1^4*T2^9 + 45*T1^5*T2^9 - 
      39*T1^7*T2^9 + 21*T1^8*T2^9 + 8*T1^9*T2^9 - 27*T1^10*T2^9 + 
      30*T1^11*T2^9 - 14*T1^12*T2^9 - 4*T1^4*T2^10 + 18*T1^5*T2^10 - 
      38*T1^6*T2^10 + 37*T1^7*T2^10 - 27*T1^9*T2^10 + 42*T1^10*T2^10 - 
      30*T1^11*T2^10 + 12*T1^12*T2^10 - 2*T1^5*T2^11 + 6*T1^7*T2^11 - 
      22*T1^8*T2^11 + 30*T1^9*T2^11 - 30*T1^10*T2^11 + 16*T1^11*T2^11 - 
      6*T1^12*T2^11 + 2*T1^6*T2^12 - 6*T1^7*T2^12 + 12*T1^8*T2^12 - 
      14*T1^9*T2^12 + 12*T1^10*T2^12 - 6*T1^11*T2^12 + 2*T1^12*T2^12))/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 667] -> 
  {((2 - 2*T + T^2)*(1 - T + T^2)*(1 - 2*T + 2*T^2))/T^3, 
   (-33 + 132*T1 - 281*T1^2 + 347*T1^3 - 281*T1^4 + 132*T1^5 - 33*T1^6 + 
     132*T2 - 428*T1*T2 + 724*T1^2*T2 - 536*T1^3*T2 + 72*T1^4*T2 + 
     324*T1^5*T2 - 268*T1^6*T2 + 100*T1^7*T2 - 281*T2^2 + 724*T1*T2^2 - 
     998*T1^2*T2^2 + 283*T1^3*T2^2 + 368*T1^4*T2^2 - 601*T1^5*T2^2 + 
     22*T1^6*T2^2 + 180*T1^7*T2^2 - 145*T1^8*T2^2 + 347*T2^3 - 536*T1*T2^3 + 
     283*T1^2*T2^3 + 1136*T1^3*T2^3 - 1299*T1^4*T2^3 + 719*T1^5*T2^3 + 
     634*T1^6*T2^3 - 499*T1^7*T2^3 + 200*T1^8*T2^3 + 95*T1^9*T2^3 - 
     281*T2^4 + 72*T1*T2^4 + 368*T1^2*T2^4 - 1299*T1^3*T2^4 - 258*T1^4*T2^4 + 
     1638*T1^5*T2^4 - 2586*T1^6*T2^4 + 885*T1^7*T2^4 - 8*T1^8*T2^4 - 
     344*T1^9*T2^4 - 9*T1^10*T2^4 + 132*T2^5 + 324*T1*T2^5 - 601*T1^2*T2^5 + 
     719*T1^3*T2^5 + 1638*T1^4*T2^5 - 2317*T1^5*T2^5 + 1849*T1^6*T2^5 + 
     737*T1^7*T2^5 - 967*T1^8*T2^5 + 589*T1^9*T2^5 + 148*T1^10*T2^5 - 
     28*T1^11*T2^5 - 33*T2^6 - 268*T1*T2^6 + 22*T1^2*T2^6 + 634*T1^3*T2^6 - 
     2586*T1^4*T2^6 + 1849*T1^5*T2^6 - 144*T1^6*T2^6 - 2017*T1^7*T2^6 + 
     1116*T1^8*T2^6 - 142*T1^9*T2^6 - 462*T1^10*T2^6 + 52*T1^11*T2^6 + 
     15*T1^12*T2^6 + 100*T1*T2^7 + 180*T1^2*T2^7 - 499*T1^3*T2^7 + 
     885*T1^4*T2^7 + 737*T1^5*T2^7 - 2017*T1^6*T2^7 + 2149*T1^7*T2^7 - 
     164*T1^8*T2^7 - 801*T1^9*T2^7 + 691*T1^10*T2^7 + 4*T1^11*T2^7 - 
     60*T1^12*T2^7 - 145*T1^2*T2^8 + 200*T1^3*T2^8 - 8*T1^4*T2^8 - 
     967*T1^5*T2^8 + 1116*T1^6*T2^8 - 164*T1^7*T2^8 - 1212*T1^8*T2^8 + 
     1217*T1^9*T2^8 - 384*T1^10*T2^8 - 216*T1^11*T2^8 + 127*T1^12*T2^8 + 
     95*T1^3*T2^9 - 344*T1^4*T2^9 + 589*T1^5*T2^9 - 142*T1^6*T2^9 - 
     801*T1^7*T2^9 + 1217*T1^8*T2^9 - 644*T1^9*T2^9 - 193*T1^10*T2^9 + 
     392*T1^11*T2^9 - 157*T1^12*T2^9 - 9*T1^4*T2^10 + 148*T1^5*T2^10 - 
     462*T1^6*T2^10 + 691*T1^7*T2^10 - 384*T1^8*T2^10 - 193*T1^9*T2^10 + 
     558*T1^10*T2^10 - 396*T1^11*T2^10 + 127*T1^12*T2^10 - 28*T1^5*T2^11 + 
     52*T1^6*T2^11 + 4*T1^7*T2^11 - 216*T1^8*T2^11 + 392*T1^9*T2^11 - 
     396*T1^10*T2^11 + 212*T1^11*T2^11 - 60*T1^12*T2^11 + 15*T1^6*T2^12 - 
     60*T1^7*T2^12 + 127*T1^8*T2^12 - 157*T1^9*T2^12 + 127*T1^10*T2^12 - 
     60*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 668] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 78*T1^2 + 126*T1^3 - 150*T1^4 + 126*T1^5 - 78*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 265*T1^2*T2 - 305*T1^3*T2 + 
     225*T1^4*T2 - 5*T1^5*T2 - 135*T1^6*T2 + 175*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 78*T2^2 + 265*T1*T2^2 - 436*T1^2*T2^2 + 252*T1^3*T2^2 + 
     43*T1^4*T2^2 - 448*T1^5*T2^2 + 355*T1^6*T2^2 - 164*T1^7*T2^2 - 
     124*T1^8*T2^2 + 135*T1^9*T2^2 - 52*T1^10*T2^2 + 126*T2^3 - 305*T1*T2^3 + 
     252*T1^2*T2^3 + 402*T1^3*T2^3 - 698*T1^4*T2^3 + 871*T1^5*T2^3 + 
     23*T1^6*T2^3 - 378*T1^7*T2^3 + 618*T1^8*T2^3 - 177*T1^9*T2^3 - 
     55*T1^10*T2^3 + 63*T1^11*T2^3 - 150*T2^4 + 225*T1*T2^4 + 43*T1^2*T2^4 - 
     698*T1^3*T2^4 + 110*T1^4*T2^4 + 416*T1^5*T2^4 - 1904*T1^6*T2^4 + 
     1336*T1^7*T2^4 - 850*T1^8*T2^4 - 278*T1^9*T2^4 + 293*T1^10*T2^4 - 
     65*T1^11*T2^4 - 50*T1^12*T2^4 + 126*T2^5 - 5*T1*T2^5 - 448*T1^2*T2^5 + 
     871*T1^3*T2^5 + 416*T1^4*T2^5 - 793*T1^5*T2^5 + 1797*T1^6*T2^5 + 
     99*T1^7*T2^5 - 451*T1^8*T2^5 + 1127*T1^9*T2^5 - 161*T1^10*T2^5 - 
     211*T1^11*T2^5 + 145*T1^12*T2^5 + 21*T1^13*T2^5 - 78*T2^6 - 
     135*T1*T2^6 + 355*T1^2*T2^6 + 23*T1^3*T2^6 - 1904*T1^4*T2^6 + 
     1797*T1^5*T2^6 - 2016*T1^6*T2^6 - 510*T1^7*T2^6 - 161*T1^9*T2^6 - 
     974*T1^10*T2^6 + 595*T1^11*T2^6 - 81*T1^12*T2^6 - 105*T1^13*T2^6 + 
     30*T2^7 + 175*T1*T2^7 - 164*T1^2*T2^7 - 378*T1^3*T2^7 + 1336*T1^4*T2^7 + 
     99*T1^5*T2^7 - 510*T1^6*T2^7 + 2048*T1^7*T2^7 + 104*T1^8*T2^7 - 
     535*T1^9*T2^7 + 1277*T1^10*T2^7 - 211*T1^11*T2^7 - 298*T1^12*T2^7 + 
     187*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     124*T1^2*T2^8 + 618*T1^3*T2^8 - 850*T1^4*T2^8 - 451*T1^5*T2^8 + 
     104*T1^7*T2^8 - 2292*T1^8*T2^8 + 1632*T1^9*T2^8 - 934*T1^10*T2^8 - 
     481*T1^11*T2^8 + 578*T1^12*T2^8 - 98*T1^13*T2^8 - 94*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 135*T1^2*T2^9 - 
     177*T1^3*T2^9 - 278*T1^4*T2^9 + 1127*T1^5*T2^9 - 161*T1^6*T2^9 - 
     535*T1^7*T2^9 + 1632*T1^8*T2^9 - 312*T1^9*T2^9 - 560*T1^10*T2^9 + 
     1017*T1^11*T2^9 - 420*T1^12*T2^9 - 198*T1^13*T2^9 + 174*T1^14*T2^9 - 
     15*T1^15*T2^9 - 10*T1^16*T2^9 - 52*T1^2*T2^10 - 55*T1^3*T2^10 + 
     293*T1^4*T2^10 - 161*T1^5*T2^10 - 974*T1^6*T2^10 + 1277*T1^7*T2^10 - 
     934*T1^8*T2^10 - 560*T1^9*T2^10 + 1082*T1^10*T2^10 - 681*T1^11*T2^10 - 
     44*T1^12*T2^10 + 411*T1^13*T2^10 - 143*T1^14*T2^10 - 25*T1^15*T2^10 + 
     26*T1^16*T2^10 + 63*T1^3*T2^11 - 65*T1^4*T2^11 - 211*T1^5*T2^11 + 
     595*T1^6*T2^11 - 211*T1^7*T2^11 - 481*T1^8*T2^11 + 1017*T1^9*T2^11 - 
     681*T1^10*T2^11 - 139*T1^11*T2^11 + 500*T1^12*T2^11 - 437*T1^13*T2^11 + 
     26*T1^14*T2^11 + 85*T1^15*T2^11 - 42*T1^16*T2^11 - 50*T1^4*T2^12 + 
     145*T1^5*T2^12 - 81*T1^6*T2^12 - 298*T1^7*T2^12 + 578*T1^8*T2^12 - 
     420*T1^9*T2^12 - 44*T1^10*T2^12 + 500*T1^11*T2^12 - 382*T1^12*T2^12 + 
     122*T1^13*T2^12 + 169*T1^14*T2^12 - 145*T1^15*T2^12 + 50*T1^16*T2^12 + 
     21*T1^5*T2^13 - 105*T1^6*T2^13 + 187*T1^7*T2^13 - 98*T1^8*T2^13 - 
     198*T1^9*T2^13 + 411*T1^10*T2^13 - 437*T1^11*T2^13 + 122*T1^12*T2^13 + 
     118*T1^13*T2^13 - 242*T1^14*T2^13 + 145*T1^15*T2^13 - 42*T1^16*T2^13 + 
     25*T1^7*T2^14 - 94*T1^8*T2^14 + 174*T1^9*T2^14 - 143*T1^10*T2^14 + 
     26*T1^11*T2^14 + 169*T1^12*T2^14 - 242*T1^13*T2^14 + 218*T1^14*T2^14 - 
     105*T1^15*T2^14 + 26*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     15*T1^9*T2^15 - 25*T1^10*T2^15 + 85*T1^11*T2^15 - 145*T1^12*T2^15 + 
     145*T1^13*T2^15 - 105*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 26*T1^10*T2^16 - 42*T1^11*T2^16 + 
     50*T1^12*T2^16 - 42*T1^13*T2^16 + 26*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 669] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-33 + 165*T1 - 380*T1^2 + 479*T1^3 - 380*T1^4 + 165*T1^5 - 33*T1^6 + 
     165*T2 - 700*T1*T2 + 1275*T1^2*T2 - 955*T1^3*T2 + 85*T1^4*T2 + 
     615*T1^5*T2 - 460*T1^6*T2 + 125*T1^7*T2 - 380*T2^2 + 1275*T1*T2^2 - 
     1429*T1^2*T2^2 - 770*T1^3*T2^2 + 2541*T1^4*T2^2 - 2518*T1^5*T2^2 + 
     503*T1^6*T2^2 + 355*T1^7*T2^2 - 196*T1^8*T2^2 + 479*T2^3 - 955*T1*T2^3 - 
     770*T1^2*T2^3 + 5024*T1^3*T2^3 - 4869*T1^4*T2^3 + 1349*T1^5*T2^3 + 
     2828*T1^6*T2^3 - 2012*T1^7*T2^3 + 325*T1^8*T2^3 + 131*T1^9*T2^3 - 
     380*T2^4 + 85*T1*T2^4 + 2541*T1^2*T2^4 - 4869*T1^3*T2^4 - 
     911*T1^4*T2^4 + 6767*T1^5*T2^4 - 8067*T1^6*T2^4 + 1975*T1^7*T2^4 + 
     973*T1^8*T2^4 - 595*T1^9*T2^4 - 12*T1^10*T2^4 + 165*T2^5 + 615*T1*T2^5 - 
     2518*T1^2*T2^5 + 1349*T1^3*T2^5 + 6767*T1^4*T2^5 - 8947*T1^5*T2^5 + 
     4167*T1^6*T2^5 + 3846*T1^7*T2^5 - 3617*T1^8*T2^5 + 748*T1^9*T2^5 + 
     235*T1^10*T2^5 - 35*T1^11*T2^5 - 33*T2^6 - 460*T1*T2^6 + 503*T1^2*T2^6 + 
     2828*T1^3*T2^6 - 8067*T1^4*T2^6 + 4167*T1^5*T2^6 + 3612*T1^6*T2^6 - 
     7775*T1^7*T2^6 + 3103*T1^8*T2^6 + 752*T1^9*T2^6 - 829*T1^10*T2^6 + 
     100*T1^11*T2^6 + 15*T1^12*T2^6 + 125*T1*T2^7 + 355*T1^2*T2^7 - 
     2012*T1^3*T2^7 + 1975*T1^4*T2^7 + 3846*T1^5*T2^7 - 7775*T1^6*T2^7 + 
     5339*T1^7*T2^7 + 925*T1^8*T2^7 - 2991*T1^9*T2^7 + 1254*T1^10*T2^7 - 
     25*T1^11*T2^7 - 75*T1^12*T2^7 - 196*T1^2*T2^8 + 325*T1^3*T2^8 + 
     973*T1^4*T2^8 - 3617*T1^5*T2^8 + 3103*T1^6*T2^8 + 925*T1^7*T2^8 - 
     4053*T1^8*T2^8 + 3227*T1^9*T2^8 - 595*T1^10*T2^8 - 355*T1^11*T2^8 + 
     172*T1^12*T2^8 + 131*T1^3*T2^9 - 595*T1^4*T2^9 + 748*T1^5*T2^9 + 
     752*T1^6*T2^9 - 2991*T1^7*T2^9 + 3227*T1^8*T2^9 - 1444*T1^9*T2^9 - 
     494*T1^10*T2^9 + 685*T1^11*T2^9 - 217*T1^12*T2^9 - 12*T1^4*T2^10 + 
     235*T1^5*T2^10 - 829*T1^6*T2^10 + 1254*T1^7*T2^10 - 595*T1^8*T2^10 - 
     494*T1^9*T2^10 + 1103*T1^10*T2^10 - 685*T1^11*T2^10 + 172*T1^12*T2^10 - 
     35*T1^5*T2^11 + 100*T1^6*T2^11 - 25*T1^7*T2^11 - 355*T1^8*T2^11 + 
     685*T1^9*T2^11 - 685*T1^10*T2^11 + 340*T1^11*T2^11 - 75*T1^12*T2^11 + 
     15*T1^6*T2^12 - 75*T1^7*T2^12 + 172*T1^8*T2^12 - 217*T1^9*T2^12 + 
     172*T1^10*T2^12 - 75*T1^11*T2^12 + 15*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 670] -> 
  {(1 - T + T^2 - T^3 + T^4)^2/T^4, (-4 + 8*T1 - 12*T1^2 + 16*T1^3 - 
     20*T1^4 + 16*T1^5 - 12*T1^6 + 8*T1^7 - 4*T1^8 + 8*T2 - 8*T1*T2 + 
     9*T1^2*T2 - 12*T1^3*T2 + 16*T1^4*T2 - 2*T1^5*T2 + 2*T1^6*T2 - T1^7*T2 - 
     2*T1^8*T2 + 6*T1^9*T2 - 12*T2^2 + 9*T1*T2^2 - 18*T1^2*T2^2 + 
     26*T1^3*T2^2 - 29*T1^4*T2^2 + 4*T1^5*T2^2 - 17*T1^6*T2^2 + 
     14*T1^7*T2^2 - 6*T1^8*T2^2 - 3*T1^9*T2^2 - 6*T1^10*T2^2 + 16*T2^3 - 
     12*T1*T2^3 + 26*T1^2*T2^3 - 28*T1^3*T2^3 + 26*T1^4*T2^3 + 30*T1^6*T2^3 - 
     16*T1^7*T2^3 + 2*T1^8*T2^3 + 8*T1^9*T2^3 + 6*T1^10*T2^3 + 4*T1^11*T2^3 - 
     20*T2^4 + 16*T1*T2^4 - 29*T1^2*T2^4 + 26*T1^3*T2^4 - 12*T1^4*T2^4 - 
     23*T1^5*T2^4 + 2*T1^6*T2^4 - 31*T1^7*T2^4 + 36*T1^8*T2^4 - 
     22*T1^9*T2^4 - T1^10*T2^4 - 8*T1^11*T2^4 + 16*T2^5 - 2*T1*T2^5 + 
     4*T1^2*T2^5 - 23*T1^4*T2^5 + 30*T1^5*T2^5 + 4*T1^6*T2^5 + 6*T1^7*T2^5 + 
     4*T1^8*T2^5 - 33*T1^9*T2^5 + 26*T1^10*T2^5 - 8*T1^11*T2^5 + 
     8*T1^12*T2^5 - 4*T1^13*T2^5 - 12*T2^6 + 2*T1*T2^6 - 17*T1^2*T2^6 + 
     30*T1^3*T2^6 + 2*T1^4*T2^6 + 4*T1^5*T2^6 + 2*T1^6*T2^6 - 26*T1^7*T2^6 + 
     34*T1^8*T2^6 + 24*T1^10*T2^6 - 6*T1^11*T2^6 + 3*T1^12*T2^6 - 
     2*T1^13*T2^6 + 6*T1^14*T2^6 + 8*T2^7 - T1*T2^7 + 14*T1^2*T2^7 - 
     16*T1^3*T2^7 - 31*T1^4*T2^7 + 6*T1^5*T2^7 - 26*T1^6*T2^7 + 
     18*T1^7*T2^7 - 18*T1^8*T2^7 - 30*T1^9*T2^7 - 8*T1^10*T2^7 - 
     29*T1^11*T2^7 + 2*T1^12*T2^7 - 4*T1^13*T2^7 - 3*T1^14*T2^7 - 
     6*T1^15*T2^7 - 4*T2^8 - 2*T1*T2^8 - 6*T1^2*T2^8 + 2*T1^3*T2^8 + 
     36*T1^4*T2^8 + 4*T1^5*T2^8 + 34*T1^6*T2^8 - 18*T1^7*T2^8 + 
     36*T1^8*T2^8 + 6*T1^9*T2^8 + 42*T1^10*T2^8 + 12*T1^11*T2^8 + 
     24*T1^12*T2^8 + 2*T1^13*T2^8 + 6*T1^14*T2^8 + 6*T1^15*T2^8 + 
     4*T1^16*T2^8 + 6*T1*T2^9 - 3*T1^2*T2^9 + 8*T1^3*T2^9 - 22*T1^4*T2^9 - 
     33*T1^5*T2^9 - 30*T1^7*T2^9 + 6*T1^8*T2^9 - 30*T1^9*T2^9 - 
     34*T1^10*T2^9 - 14*T1^11*T2^9 - 31*T1^12*T2^9 - 4*T1^13*T2^9 - 
     10*T1^14*T2^9 - 5*T1^15*T2^9 - 8*T1^16*T2^9 - 6*T1^2*T2^10 + 
     6*T1^3*T2^10 - T1^4*T2^10 + 26*T1^5*T2^10 + 24*T1^6*T2^10 - 
     8*T1^7*T2^10 + 42*T1^8*T2^10 - 34*T1^9*T2^10 + 74*T1^10*T2^10 - 
     12*T1^11*T2^10 + 46*T1^12*T2^10 - 10*T1^13*T2^10 + 19*T1^14*T2^10 + 
     2*T1^15*T2^10 + 12*T1^16*T2^10 + 4*T1^3*T2^11 - 8*T1^4*T2^11 - 
     8*T1^5*T2^11 - 6*T1^6*T2^11 - 29*T1^7*T2^11 + 12*T1^8*T2^11 - 
     14*T1^9*T2^11 - 12*T1^10*T2^11 - 14*T1^11*T2^11 - 39*T1^12*T2^11 + 
     20*T1^13*T2^11 - 20*T1^14*T2^11 + 2*T1^15*T2^11 - 16*T1^16*T2^11 + 
     8*T1^5*T2^12 + 3*T1^6*T2^12 + 2*T1^7*T2^12 + 24*T1^8*T2^12 - 
     31*T1^9*T2^12 + 46*T1^10*T2^12 - 39*T1^11*T2^12 + 72*T1^12*T2^12 - 
     46*T1^13*T2^12 + 31*T1^14*T2^12 - 16*T1^15*T2^12 + 20*T1^16*T2^12 - 
     4*T1^5*T2^13 - 2*T1^6*T2^13 - 4*T1^7*T2^13 + 2*T1^8*T2^13 - 
     4*T1^9*T2^13 - 10*T1^10*T2^13 + 20*T1^11*T2^13 - 46*T1^12*T2^13 + 
     32*T1^13*T2^13 - 22*T1^14*T2^13 + 16*T1^15*T2^13 - 16*T1^16*T2^13 + 
     6*T1^6*T2^14 - 3*T1^7*T2^14 + 6*T1^8*T2^14 - 10*T1^9*T2^14 + 
     19*T1^10*T2^14 - 20*T1^11*T2^14 + 31*T1^12*T2^14 - 22*T1^13*T2^14 + 
     18*T1^14*T2^14 - 15*T1^15*T2^14 + 12*T1^16*T2^14 - 6*T1^7*T2^15 + 
     6*T1^8*T2^15 - 5*T1^9*T2^15 + 2*T1^10*T2^15 + 2*T1^11*T2^15 - 
     16*T1^12*T2^15 + 16*T1^13*T2^15 - 15*T1^14*T2^15 + 12*T1^15*T2^15 - 
     8*T1^16*T2^15 + 4*T1^8*T2^16 - 8*T1^9*T2^16 + 12*T1^10*T2^16 - 
     16*T1^11*T2^16 + 20*T1^12*T2^16 - 16*T1^13*T2^16 + 12*T1^14*T2^16 - 
     8*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 671] -> 
  {-(((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 42*T1 - 91*T1^2 + 126*T1^3 - 133*T1^4 + 126*T1^5 - 91*T1^6 + 
      42*T1^7 - 7*T1^8 + 42*T2 - 216*T1*T2 + 326*T1^2*T2 - 280*T1^3*T2 + 
      145*T1^4*T2 - 77*T1^5*T2 - 94*T1^6*T2 + 212*T1^7*T2 - 174*T1^8*T2 + 
      36*T1^9*T2 - 91*T2^2 + 326*T1*T2^2 + 68*T1^2*T2^2 - 808*T1^3*T2^2 + 
      1330*T1^4*T2^2 - 1298*T1^5*T2^2 + 1486*T1^6*T2^2 - 1120*T1^7*T2^2 + 
      380*T1^8*T2^2 + 170*T1^9*T2^2 - 65*T1^10*T2^2 + 126*T2^3 - 
      280*T1*T2^3 - 808*T1^2*T2^3 + 1594*T1^3*T2^3 - 1426*T1^4*T2^3 + 
      551*T1^5*T2^3 - 661*T1^6*T2^3 - 358*T1^7*T2^3 + 1138*T1^8*T2^3 - 
      964*T1^9*T2^3 - 34*T1^10*T2^3 + 72*T1^11*T2^3 - 133*T2^4 + 
      145*T1*T2^4 + 1330*T1^2*T2^4 - 1426*T1^3*T2^4 + 626*T1^4*T2^4 + 
      188*T1^5*T2^4 + 670*T1^6*T2^4 + 572*T1^7*T2^4 - 598*T1^8*T2^4 - 
      202*T1^9*T2^4 + 1022*T1^10*T2^4 - 95*T1^11*T2^4 - 57*T1^12*T2^4 + 
      126*T2^5 - 77*T1*T2^5 - 1298*T1^2*T2^5 + 551*T1^3*T2^5 + 
      188*T1^4*T2^5 - 372*T1^5*T2^5 - 933*T1^6*T2^5 - 699*T1^7*T2^5 + 
      42*T1^8*T2^5 + 530*T1^9*T2^5 - 637*T1^10*T2^5 - 650*T1^11*T2^5 + 
      121*T1^12*T2^5 + 36*T1^13*T2^5 - 91*T2^6 - 94*T1*T2^6 + 
      1486*T1^2*T2^6 - 661*T1^3*T2^6 + 670*T1^4*T2^6 - 933*T1^5*T2^6 + 
      1857*T1^6*T2^6 + 331*T1^7*T2^6 + 573*T1^8*T2^6 - 489*T1^9*T2^6 + 
      304*T1^10*T2^6 + 587*T1^11*T2^6 + 402*T1^12*T2^6 - 130*T1^13*T2^6 - 
      13*T1^14*T2^6 + 42*T2^7 + 212*T1*T2^7 - 1120*T1^2*T2^7 - 
      358*T1^3*T2^7 + 572*T1^4*T2^7 - 699*T1^5*T2^7 + 331*T1^6*T2^7 - 
      1990*T1^7*T2^7 + 2*T1^8*T2^7 + 247*T1^9*T2^7 - 513*T1^10*T2^7 + 
      62*T1^11*T2^7 - 802*T1^12*T2^7 - 28*T1^13*T2^7 + 74*T1^14*T2^7 - 
      7*T2^8 - 174*T1*T2^8 + 380*T1^2*T2^8 + 1138*T1^3*T2^8 - 598*T1^4*T2^8 + 
      42*T1^5*T2^8 + 573*T1^6*T2^8 + 2*T1^7*T2^8 + 2232*T1^8*T2^8 - 
      1678*T1^9*T2^8 + 1181*T1^10*T2^8 - 390*T1^11*T2^8 + 566*T1^12*T2^8 + 
      394*T1^13*T2^8 - 136*T1^14*T2^8 - 6*T1^15*T2^8 + T1^16*T2^8 + 
      36*T1*T2^9 + 170*T1^2*T2^9 - 964*T1^3*T2^9 - 202*T1^4*T2^9 + 
      530*T1^5*T2^9 - 489*T1^6*T2^9 + 247*T1^7*T2^9 - 1678*T1^8*T2^9 + 
      314*T1^9*T2^9 + 163*T1^10*T2^9 - 303*T1^11*T2^9 + 20*T1^12*T2^9 - 
      646*T1^13*T2^9 + 128*T1^14*T2^9 + 32*T1^15*T2^9 - 6*T1^16*T2^9 - 
      65*T1^2*T2^10 - 34*T1^3*T2^10 + 1022*T1^4*T2^10 - 637*T1^5*T2^10 + 
      304*T1^6*T2^10 - 513*T1^7*T2^10 + 1181*T1^8*T2^10 + 163*T1^9*T2^10 - 
      103*T1^10*T2^10 - 69*T1^11*T2^10 - 62*T1^12*T2^10 + 611*T1^13*T2^10 - 
      62*T1^14*T2^10 - 70*T1^15*T2^10 + 13*T1^16*T2^10 + 72*T1^3*T2^11 - 
      95*T1^4*T2^11 - 650*T1^5*T2^11 + 587*T1^6*T2^11 + 62*T1^7*T2^11 - 
      390*T1^8*T2^11 - 303*T1^9*T2^11 - 69*T1^10*T2^11 + 24*T1^11*T2^11 + 
      404*T1^12*T2^11 - 601*T1^13*T2^11 - 2*T1^14*T2^11 + 103*T1^15*T2^11 - 
      18*T1^16*T2^11 - 57*T1^4*T2^12 + 121*T1^5*T2^12 + 402*T1^6*T2^12 - 
      802*T1^7*T2^12 + 566*T1^8*T2^12 + 20*T1^9*T2^12 - 62*T1^10*T2^12 + 
      404*T1^11*T2^12 - 658*T1^12*T2^12 + 422*T1^13*T2^12 + 94*T1^14*T2^12 - 
      119*T1^15*T2^12 + 19*T1^16*T2^12 + 36*T1^5*T2^13 - 130*T1^6*T2^13 - 
      28*T1^7*T2^13 + 394*T1^8*T2^13 - 646*T1^9*T2^13 + 611*T1^10*T2^13 - 
      601*T1^11*T2^13 + 422*T1^12*T2^13 - 62*T1^13*T2^13 - 184*T1^14*T2^13 + 
      116*T1^15*T2^13 - 18*T1^16*T2^13 - 13*T1^6*T2^14 + 74*T1^7*T2^14 - 
      136*T1^8*T2^14 + 128*T1^9*T2^14 - 62*T1^10*T2^14 - 2*T1^11*T2^14 + 
      94*T1^12*T2^14 - 184*T1^13*T2^14 + 176*T1^14*T2^14 - 82*T1^15*T2^14 + 
      13*T1^16*T2^14 - 6*T1^8*T2^15 + 32*T1^9*T2^15 - 70*T1^10*T2^15 + 
      103*T1^11*T2^15 - 119*T1^12*T2^15 + 116*T1^13*T2^15 - 82*T1^14*T2^15 + 
      36*T1^15*T2^15 - 6*T1^16*T2^15 + T1^8*T2^16 - 6*T1^9*T2^16 + 
      13*T1^10*T2^16 - 18*T1^11*T2^16 + 19*T1^12*T2^16 - 18*T1^13*T2^16 + 
      13*T1^14*T2^16 - 6*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 672] -> 
  {(1 - 4*T + 12*T^2 - 17*T^3 + 12*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 24*T1^2 + 34*T1^3 - 24*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 79*T1^2*T2 - 87*T1^3*T2 + 29*T1^4*T2 + 15*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 24*T2^2 + 79*T1*T2^2 - 232*T1^2*T2^2 + 
     258*T1^3*T2^2 - 86*T1^4*T2^2 - 54*T1^5*T2^2 + 32*T1^6*T2^2 - 
     17*T1^7*T2^2 + 34*T2^3 - 87*T1*T2^3 + 258*T1^2*T2^3 - 97*T1^3*T2^3 - 
     286*T1^4*T2^3 + 290*T1^5*T2^3 + 53*T1^6*T2^3 - 114*T1^7*T2^3 + 
     69*T1^8*T2^3 - 17*T1^9*T2^3 - 24*T2^4 + 29*T1*T2^4 - 86*T1^2*T2^4 - 
     286*T1^3*T2^4 + 512*T1^4*T2^4 + 120*T1^5*T2^4 - 728*T1^6*T2^4 + 
     394*T1^7*T2^4 - 54*T1^8*T2^4 - 27*T1^9*T2^4 + 24*T1^10*T2^4 + 8*T2^5 + 
     15*T1*T2^5 - 54*T1^2*T2^5 + 290*T1^3*T2^5 + 120*T1^4*T2^5 - 
     1628*T1^5*T2^5 + 2084*T1^6*T2^5 - 792*T1^7*T2^5 - 78*T1^8*T2^5 + 
     78*T1^9*T2^5 - 49*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     32*T1^2*T2^6 + 53*T1^3*T2^6 - 728*T1^4*T2^6 + 2084*T1^5*T2^6 - 
     1296*T1^6*T2^6 - 980*T1^7*T2^6 + 1424*T1^8*T2^6 - 433*T1^9*T2^6 + 
     136*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 
     17*T1^2*T2^7 - 114*T1^3*T2^7 + 394*T1^4*T2^7 - 792*T1^5*T2^7 - 
     980*T1^6*T2^7 + 2732*T1^7*T2^7 - 1704*T1^8*T2^7 + 26*T1^9*T2^7 + 
     18*T1^10*T2^7 - 81*T1^11*T2^7 - 16*T1^12*T2^7 + 69*T1^3*T2^8 - 
     54*T1^4*T2^8 - 78*T1^5*T2^8 + 1424*T1^6*T2^8 - 1704*T1^7*T2^8 + 
     184*T1^8*T2^8 + 602*T1^9*T2^8 - 22*T1^10*T2^8 + 13*T1^11*T2^8 + 
     48*T1^12*T2^8 - 17*T1^3*T2^9 - 27*T1^4*T2^9 + 78*T1^5*T2^9 - 
     433*T1^6*T2^9 + 26*T1^7*T2^9 + 602*T1^8*T2^9 - 283*T1^9*T2^9 - 
     294*T1^10*T2^9 + 129*T1^11*T2^9 - 68*T1^12*T2^9 + 24*T1^4*T2^10 - 
     49*T1^5*T2^10 + 136*T1^6*T2^10 + 18*T1^7*T2^10 - 22*T1^8*T2^10 - 
     294*T1^9*T2^10 + 400*T1^10*T2^10 - 145*T1^11*T2^10 + 48*T1^12*T2^10 - 
     12*T1^5*T2^11 + 32*T1^6*T2^11 - 81*T1^7*T2^11 + 13*T1^8*T2^11 + 
     129*T1^9*T2^11 - 145*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 
     4*T1^6*T2^12 - 16*T1^7*T2^12 + 48*T1^8*T2^12 - 68*T1^9*T2^12 + 
     48*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 673] -> 
  {((1 - T^2 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-4 + 4*T1 - 4*T1^4 + 4*T1^7 - 4*T1^8 + 4*T2 + T1*T2 - 6*T1^2*T2 + 
     2*T1^3*T2 + 4*T1^4*T2 + 3*T1^5*T2 + 2*T1^6*T2 - 7*T1^7*T2 + 3*T1^8*T2 + 
     3*T1^9*T2 - 6*T1*T2^2 + 3*T1^2*T2^2 + 3*T1^3*T2^2 - 3*T1^4*T2^2 - 
     5*T1^5*T2^2 - 3*T1^6*T2^2 + 3*T1^7*T2^2 + 3*T1^8*T2^2 - 6*T1^9*T2^2 + 
     2*T1*T2^3 + 3*T1^2*T2^3 - 2*T1^3*T2^3 + 4*T1^5*T2^3 + 4*T1^6*T2^3 - 
     2*T1^8*T2^3 + 3*T1^9*T2^3 + 2*T1^10*T2^3 - 4*T2^4 + 4*T1*T2^4 - 
     3*T1^2*T2^4 + 3*T1^4*T2^4 - 9*T1^5*T2^4 + 3*T1^6*T2^4 - 5*T1^7*T2^4 + 
     3*T1^8*T2^4 - 3*T1^10*T2^4 + 3*T1*T2^5 - 5*T1^2*T2^5 + 4*T1^3*T2^5 - 
     9*T1^4*T2^5 - T1^5*T2^5 + 5*T1^6*T2^5 + 5*T1^7*T2^5 - 7*T1^8*T2^5 - 
     6*T1^9*T2^5 + 4*T1^10*T2^5 - 2*T1^11*T2^5 + 2*T1*T2^6 - 3*T1^2*T2^6 + 
     4*T1^3*T2^6 + 3*T1^4*T2^6 + 5*T1^5*T2^6 + 6*T1^6*T2^6 - 10*T1^7*T2^6 + 
     6*T1^8*T2^6 + 5*T1^9*T2^6 + 3*T1^10*T2^6 + 4*T1^11*T2^6 - 3*T1^12*T2^6 + 
     2*T1^13*T2^6 + 4*T2^7 - 7*T1*T2^7 + 3*T1^2*T2^7 - 5*T1^4*T2^7 + 
     5*T1^5*T2^7 - 10*T1^6*T2^7 - 5*T1^7*T2^7 + 9*T1^8*T2^7 - 10*T1^9*T2^7 + 
     5*T1^10*T2^7 - 12*T1^11*T2^7 + 3*T1^13*T2^7 - 3*T1^15*T2^7 - 4*T2^8 + 
     3*T1*T2^8 + 3*T1^2*T2^8 - 2*T1^3*T2^8 + 3*T1^4*T2^8 - 7*T1^5*T2^8 + 
     6*T1^6*T2^8 + 9*T1^7*T2^8 - 5*T1^9*T2^8 + 6*T1^10*T2^8 - T1^11*T2^8 + 
     11*T1^12*T2^8 - 2*T1^13*T2^8 - 3*T1^14*T2^8 + T1^15*T2^8 + 
     4*T1^16*T2^8 + 3*T1*T2^9 - 6*T1^2*T2^9 + 3*T1^3*T2^9 - 6*T1^5*T2^9 + 
     5*T1^6*T2^9 - 10*T1^7*T2^9 - 5*T1^8*T2^9 + 9*T1^9*T2^9 - 10*T1^10*T2^9 + 
     5*T1^11*T2^9 - 13*T1^12*T2^9 + 3*T1^14*T2^9 + T1^15*T2^9 - 
     4*T1^16*T2^9 + 2*T1^3*T2^10 - 3*T1^4*T2^10 + 4*T1^5*T2^10 + 
     3*T1^6*T2^10 + 5*T1^7*T2^10 + 6*T1^8*T2^10 - 10*T1^9*T2^10 + 
     6*T1^10*T2^10 + 5*T1^11*T2^10 + 3*T1^12*T2^10 + 4*T1^13*T2^10 - 
     3*T1^14*T2^10 + 2*T1^15*T2^10 - 2*T1^5*T2^11 + 4*T1^6*T2^11 - 
     12*T1^7*T2^11 - T1^8*T2^11 + 5*T1^9*T2^11 + 5*T1^10*T2^11 - 
     7*T1^11*T2^11 - 9*T1^12*T2^11 + 4*T1^13*T2^11 + T1^14*T2^11 - 
     3*T1^15*T2^11 - 3*T1^6*T2^12 + 11*T1^8*T2^12 - 13*T1^9*T2^12 + 
     3*T1^10*T2^12 - 9*T1^11*T2^12 + 11*T1^12*T2^12 - 3*T1^14*T2^12 - 
     4*T1^15*T2^12 + 4*T1^16*T2^12 + 2*T1^6*T2^13 + 3*T1^7*T2^13 - 
     2*T1^8*T2^13 + 4*T1^10*T2^13 + 4*T1^11*T2^13 - 2*T1^13*T2^13 + 
     3*T1^14*T2^13 + 2*T1^15*T2^13 - 3*T1^8*T2^14 + 3*T1^9*T2^14 - 
     3*T1^10*T2^14 + T1^11*T2^14 - 3*T1^12*T2^14 + 3*T1^13*T2^14 - 
     3*T1^14*T2^14 - 3*T1^7*T2^15 + T1^8*T2^15 + T1^9*T2^15 + 2*T1^10*T2^15 - 
     3*T1^11*T2^15 - 4*T1^12*T2^15 + 2*T1^13*T2^15 + 3*T1^15*T2^15 - 
     4*T1^16*T2^15 + 4*T1^8*T2^16 - 4*T1^9*T2^16 + 4*T1^12*T2^16 - 
     4*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 674] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 35*T1 - 70*T1^2 + 98*T1^3 - 105*T1^4 + 98*T1^5 - 70*T1^6 + 
      35*T1^7 - 7*T1^8 + 35*T2 - 145*T1*T2 + 198*T1^2*T2 - 187*T1^3*T2 + 
      103*T1^4*T2 - 42*T1^5*T2 - 67*T1^6*T2 + 123*T1^7*T2 - 115*T1^8*T2 + 
      30*T1^9*T2 - 70*T2^2 + 198*T1*T2^2 + 12*T1^2*T2^2 - 290*T1^3*T2^2 + 
      573*T1^4*T2^2 - 590*T1^5*T2^2 + 673*T1^6*T2^2 - 470*T1^7*T2^2 + 
      192*T1^8*T2^2 + 98*T1^9*T2^2 - 50*T1^10*T2^2 + 98*T2^3 - 187*T1*T2^3 - 
      290*T1^2*T2^3 + 472*T1^3*T2^3 - 542*T1^4*T2^3 + 199*T1^5*T2^3 - 
      243*T1^6*T2^3 - 182*T1^7*T2^3 + 352*T1^8*T2^3 - 410*T1^9*T2^3 - 
      27*T1^10*T2^3 + 56*T1^11*T2^3 - 105*T2^4 + 103*T1*T2^4 + 
      573*T1^2*T2^4 - 542*T1^3*T2^4 + 614*T1^4*T2^4 - 295*T1^5*T2^4 + 
      654*T1^6*T2^4 - 135*T1^7*T2^4 + 194*T1^8*T2^4 - 122*T1^9*T2^4 + 
      473*T1^10*T2^4 - 57*T1^11*T2^4 - 45*T1^12*T2^4 + 98*T2^5 - 42*T1*T2^5 - 
      590*T1^2*T2^5 + 199*T1^3*T2^5 - 295*T1^4*T2^5 - 9*T1^5*T2^5 - 
      494*T1^6*T2^5 - 204*T1^7*T2^5 - 99*T1^8*T2^5 - 70*T1^9*T2^5 - 
      231*T1^10*T2^5 - 305*T1^11*T2^5 + 83*T1^12*T2^5 + 28*T1^13*T2^5 - 
      70*T2^6 - 67*T1*T2^6 + 673*T1^2*T2^6 - 243*T1^3*T2^6 + 654*T1^4*T2^6 - 
      494*T1^5*T2^6 + 991*T1^6*T2^6 - 107*T1^7*T2^6 + 511*T1^8*T2^6 - 
      114*T1^9*T2^6 + 334*T1^10*T2^6 + 217*T1^11*T2^6 + 173*T1^12*T2^6 - 
      87*T1^13*T2^6 - 10*T1^14*T2^6 + 35*T2^7 + 123*T1*T2^7 - 470*T1^2*T2^7 - 
      182*T1^3*T2^7 - 135*T1^4*T2^7 - 204*T1^5*T2^7 - 107*T1^6*T2^7 - 
      615*T1^7*T2^7 - 165*T1^8*T2^7 - 67*T1^9*T2^7 - 314*T1^10*T2^7 - 
      100*T1^11*T2^7 - 302*T1^12*T2^7 + 10*T1^13*T2^7 + 48*T1^14*T2^7 - 
      7*T2^8 - 115*T1*T2^8 + 192*T1^2*T2^8 + 352*T1^3*T2^8 + 194*T1^4*T2^8 - 
      99*T1^5*T2^8 + 511*T1^6*T2^8 - 165*T1^7*T2^8 + 960*T1^8*T2^8 - 
      495*T1^9*T2^8 + 563*T1^10*T2^8 - 33*T1^11*T2^8 + 254*T1^12*T2^8 + 
      132*T1^13*T2^8 - 78*T1^14*T2^8 - 5*T1^15*T2^8 + T1^16*T2^8 + 
      30*T1*T2^9 + 98*T1^2*T2^9 - 410*T1^3*T2^9 - 122*T1^4*T2^9 - 
      70*T1^5*T2^9 - 114*T1^6*T2^9 - 67*T1^7*T2^9 - 495*T1^8*T2^9 - 
      45*T1^9*T2^9 - 27*T1^10*T2^9 - 224*T1^11*T2^9 - 35*T1^12*T2^9 - 
      242*T1^13*T2^9 + 70*T1^14*T2^9 + 23*T1^15*T2^9 - 5*T1^16*T2^9 - 
      50*T1^2*T2^10 - 27*T1^3*T2^10 + 473*T1^4*T2^10 - 231*T1^5*T2^10 + 
      334*T1^6*T2^10 - 314*T1^7*T2^10 + 563*T1^8*T2^10 - 27*T1^9*T2^10 + 
      83*T1^10*T2^10 + 66*T1^11*T2^10 + 14*T1^12*T2^10 + 229*T1^13*T2^10 - 
      27*T1^14*T2^10 - 47*T1^15*T2^10 + 10*T1^16*T2^10 + 56*T1^3*T2^11 - 
      57*T1^4*T2^11 - 305*T1^5*T2^11 + 217*T1^6*T2^11 - 100*T1^7*T2^11 - 
      33*T1^8*T2^11 - 224*T1^9*T2^11 + 66*T1^10*T2^11 - 123*T1^11*T2^11 + 
      125*T1^12*T2^11 - 213*T1^13*T2^11 - 20*T1^14*T2^11 + 68*T1^15*T2^11 - 
      14*T1^16*T2^11 - 45*T1^4*T2^12 + 83*T1^5*T2^12 + 173*T1^6*T2^12 - 
      302*T1^7*T2^12 + 254*T1^8*T2^12 - 35*T1^9*T2^12 + 14*T1^10*T2^12 + 
      125*T1^11*T2^12 - 166*T1^12*T2^12 + 118*T1^13*T2^12 + 73*T1^14*T2^12 - 
      77*T1^15*T2^12 + 15*T1^16*T2^12 + 28*T1^5*T2^13 - 87*T1^6*T2^13 + 
      10*T1^7*T2^13 + 132*T1^8*T2^13 - 242*T1^9*T2^13 + 229*T1^10*T2^13 - 
      213*T1^11*T2^13 + 118*T1^12*T2^13 + 12*T1^13*T2^13 - 110*T1^14*T2^13 + 
      73*T1^15*T2^13 - 14*T1^16*T2^13 - 10*T1^6*T2^14 + 48*T1^7*T2^14 - 
      78*T1^8*T2^14 + 70*T1^9*T2^14 - 27*T1^10*T2^14 - 20*T1^11*T2^14 + 
      73*T1^12*T2^14 - 110*T1^13*T2^14 + 102*T1^14*T2^14 - 52*T1^15*T2^14 + 
      10*T1^16*T2^14 - 5*T1^8*T2^15 + 23*T1^9*T2^15 - 47*T1^10*T2^15 + 
      68*T1^11*T2^15 - 77*T1^12*T2^15 + 73*T1^13*T2^15 - 52*T1^14*T2^15 + 
      25*T1^15*T2^15 - 5*T1^16*T2^15 + T1^8*T2^16 - 5*T1^9*T2^16 + 
      10*T1^10*T2^16 - 14*T1^11*T2^16 + 15*T1^12*T2^16 - 14*T1^13*T2^16 + 
      10*T1^14*T2^16 - 5*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 675] -> 
  {((1 - T + T^2)^2*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-4 + 12*T1 - 24*T1^2 + 32*T1^3 - 36*T1^4 + 32*T1^5 - 24*T1^6 + 12*T1^7 - 
     4*T1^8 + 12*T2 - 27*T1*T2 + 45*T1^2*T2 - 42*T1^3*T2 + 36*T1^4*T2 - 
     15*T1^5*T2 + 18*T1^7*T2 - 15*T1^8*T2 + 9*T1^9*T2 - 24*T2^2 + 
     45*T1*T2^2 - 76*T1^2*T2^2 + 69*T1^3*T2^2 - 81*T1^4*T2^2 + 58*T1^5*T2^2 - 
     45*T1^6*T2^2 + 9*T1^7*T2^2 - 16*T1^8*T2^2 + 9*T1^9*T2^2 - 
     12*T1^10*T2^2 + 32*T2^3 - 42*T1*T2^3 + 69*T1^2*T2^3 - 38*T1^3*T2^3 + 
     64*T1^4*T2^3 - 20*T1^5*T2^3 + 10*T1^6*T2^3 + 28*T1^7*T2^3 + 
     16*T1^8*T2^3 - 3*T1^9*T2^3 + 12*T1^10*T2^3 + 8*T1^11*T2^3 - 36*T2^4 + 
     36*T1*T2^4 - 81*T1^2*T2^4 + 64*T1^3*T2^4 - 152*T1^4*T2^4 + 
     110*T1^5*T2^4 - 126*T1^6*T2^4 + 74*T1^7*T2^4 - 104*T1^8*T2^4 + 
     16*T1^9*T2^4 - 9*T1^10*T2^4 - 24*T1^11*T2^4 + 32*T2^5 - 15*T1*T2^5 + 
     58*T1^2*T2^5 - 20*T1^3*T2^5 + 110*T1^4*T2^5 - 13*T1^5*T2^5 + 
     46*T1^6*T2^5 + 4*T1^7*T2^5 + 47*T1^8*T2^5 + 47*T1^9*T2^5 + 
     6*T1^10*T2^5 + 13*T1^11*T2^5 + 24*T1^12*T2^5 - 8*T1^13*T2^5 - 24*T2^6 - 
     45*T1^2*T2^6 + 10*T1^3*T2^6 - 126*T1^4*T2^6 + 46*T1^5*T2^6 - 
     162*T1^6*T2^6 + 122*T1^7*T2^6 - 138*T1^8*T2^6 - 14*T1^9*T2^6 - 
     30*T1^10*T2^6 - 26*T1^11*T2^6 - 9*T1^12*T2^6 - 12*T1^13*T2^6 + 
     12*T1^14*T2^6 + 12*T2^7 + 18*T1*T2^7 + 9*T1^2*T2^7 + 28*T1^3*T2^7 + 
     74*T1^4*T2^7 + 4*T1^5*T2^7 + 122*T1^6*T2^7 - 41*T1^7*T2^7 + 
     25*T1^8*T2^7 + 86*T1^9*T2^7 + 10*T1^10*T2^7 + 29*T1^11*T2^7 + 
     16*T1^12*T2^7 + 9*T1^13*T2^7 - 9*T1^14*T2^7 - 9*T1^15*T2^7 - 4*T2^8 - 
     15*T1*T2^8 - 16*T1^2*T2^8 + 16*T1^3*T2^8 - 104*T1^4*T2^8 + 
     47*T1^5*T2^8 - 138*T1^6*T2^8 + 25*T1^7*T2^8 + 12*T1^8*T2^8 - 
     65*T1^9*T2^8 - 10*T1^10*T2^8 - 43*T1^11*T2^8 + 16*T1^12*T2^8 - 
     28*T1^13*T2^8 + 14*T1^14*T2^8 + 15*T1^15*T2^8 + 4*T1^16*T2^8 + 
     9*T1*T2^9 + 9*T1^2*T2^9 - 3*T1^3*T2^9 + 16*T1^4*T2^9 + 47*T1^5*T2^9 - 
     14*T1^6*T2^9 + 86*T1^7*T2^9 - 65*T1^8*T2^9 + T1^9*T2^9 + 50*T1^10*T2^9 - 
     8*T1^11*T2^9 + 2*T1^12*T2^9 + 4*T1^13*T2^9 - 3*T1^14*T2^9 - 
     18*T1^15*T2^9 - 12*T1^16*T2^9 - 12*T1^2*T2^10 + 12*T1^3*T2^10 - 
     9*T1^4*T2^10 + 6*T1^5*T2^10 - 30*T1^6*T2^10 + 10*T1^7*T2^10 - 
     10*T1^8*T2^10 + 50*T1^9*T2^10 + 14*T1^10*T2^10 - 50*T1^11*T2^10 + 
     66*T1^12*T2^10 - 30*T1^13*T2^10 + 27*T1^14*T2^10 + 24*T1^16*T2^10 + 
     8*T1^3*T2^11 - 24*T1^4*T2^11 + 13*T1^5*T2^11 - 26*T1^6*T2^11 + 
     29*T1^7*T2^11 - 43*T1^8*T2^11 - 8*T1^9*T2^11 - 50*T1^10*T2^11 + 
     17*T1^11*T2^11 - 34*T1^12*T2^11 - 32*T1^14*T2^11 + 15*T1^15*T2^11 - 
     32*T1^16*T2^11 + 24*T1^5*T2^12 - 9*T1^6*T2^12 + 16*T1^7*T2^12 + 
     16*T1^8*T2^12 + 2*T1^9*T2^12 + 66*T1^10*T2^12 - 34*T1^11*T2^12 + 
     64*T1^12*T2^12 - 32*T1^13*T2^12 + 63*T1^14*T2^12 - 36*T1^15*T2^12 + 
     36*T1^16*T2^12 - 8*T1^5*T2^13 - 12*T1^6*T2^13 + 9*T1^7*T2^13 - 
     28*T1^8*T2^13 + 4*T1^9*T2^13 - 30*T1^10*T2^13 - 32*T1^12*T2^13 + 
     26*T1^13*T2^13 - 63*T1^14*T2^13 + 42*T1^15*T2^13 - 32*T1^16*T2^13 + 
     12*T1^6*T2^14 - 9*T1^7*T2^14 + 14*T1^8*T2^14 - 3*T1^9*T2^14 + 
     27*T1^10*T2^14 - 32*T1^11*T2^14 + 63*T1^12*T2^14 - 63*T1^13*T2^14 + 
     74*T1^14*T2^14 - 45*T1^15*T2^14 + 24*T1^16*T2^14 - 9*T1^7*T2^15 + 
     15*T1^8*T2^15 - 18*T1^9*T2^15 + 15*T1^11*T2^15 - 36*T1^12*T2^15 + 
     42*T1^13*T2^15 - 45*T1^14*T2^15 + 27*T1^15*T2^15 - 12*T1^16*T2^15 + 
     4*T1^8*T2^16 - 12*T1^9*T2^16 + 24*T1^10*T2^16 - 32*T1^11*T2^16 + 
     36*T1^12*T2^16 - 32*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 676] -> {((2 - 2*T + T^3)*(1 - 2*T^2 + 2*T^3))/T^3, 
   (-31 + 31*T1 + 63*T1^2 - 141*T1^3 + 63*T1^4 + 31*T1^5 - 31*T1^6 + 31*T2 + 
     8*T1*T2 - 118*T1^2*T2 + 114*T1^3*T2 + 62*T1^4*T2 - 110*T1^5*T2 + 
     24*T1^6*T2 + 23*T1^7*T2 + 63*T2^2 - 118*T1*T2^2 - 39*T1^2*T2^2 + 
     306*T1^3*T2^2 - 345*T1^4*T2^2 + 130*T1^5*T2^2 + 57*T1^6*T2^2 - 
     86*T1^7*T2^2 + 31*T1^8*T2^2 - 141*T2^3 + 114*T1*T2^3 + 306*T1^2*T2^3 - 
     550*T1^3*T2^3 + 181*T1^4*T2^3 + 177*T1^5*T2^3 - 188*T1^6*T2^3 + 
     58*T1^7*T2^3 + 22*T1^8*T2^3 - 33*T1^9*T2^3 + 63*T2^4 + 62*T1*T2^4 - 
     345*T1^2*T2^4 + 181*T1^3*T2^4 + 408*T1^4*T2^4 - 568*T1^5*T2^4 + 
     204*T1^6*T2^4 + 109*T1^7*T2^4 - 145*T1^8*T2^4 + 54*T1^9*T2^4 - 
     T1^10*T2^4 + 31*T2^5 - 110*T1*T2^5 + 130*T1^2*T2^5 + 177*T1^3*T2^5 - 
     568*T1^4*T2^5 + 478*T1^5*T2^5 + 42*T1^6*T2^5 - 248*T1^7*T2^5 + 
     45*T1^8*T2^5 + 90*T1^9*T2^5 - 22*T1^10*T2^5 - 9*T1^11*T2^5 - 31*T2^6 + 
     24*T1*T2^6 + 57*T1^2*T2^6 - 188*T1^3*T2^6 + 204*T1^4*T2^6 + 
     42*T1^5*T2^6 - 336*T1^6*T2^6 + 250*T1^7*T2^6 + 60*T1^8*T2^6 - 
     100*T1^9*T2^6 - 7*T1^10*T2^6 + 8*T1^11*T2^6 + 17*T1^12*T2^6 + 
     23*T1*T2^7 - 86*T1^2*T2^7 + 58*T1^3*T2^7 + 109*T1^4*T2^7 - 
     248*T1^5*T2^7 + 250*T1^6*T2^7 - 186*T1^7*T2^7 + 72*T1^8*T2^7 - 
     23*T1^9*T2^7 + 18*T1^10*T2^7 + 2*T1^11*T2^7 - 17*T1^12*T2^7 + 
     31*T1^2*T2^8 + 22*T1^3*T2^8 - 145*T1^4*T2^8 + 45*T1^5*T2^8 + 
     60*T1^6*T2^8 + 72*T1^7*T2^8 - 144*T1^8*T2^8 - 27*T1^9*T2^8 + 
     55*T1^10*T2^8 + 14*T1^11*T2^8 - 33*T1^12*T2^8 - 33*T1^3*T2^9 + 
     54*T1^4*T2^9 + 90*T1^5*T2^9 - 100*T1^6*T2^9 - 23*T1^7*T2^9 - 
     27*T1^8*T2^9 + 262*T1^9*T2^9 - 158*T1^10*T2^9 - 38*T1^11*T2^9 + 
     75*T1^12*T2^9 - T1^4*T2^10 - 22*T1^5*T2^10 - 7*T1^6*T2^10 + 
     18*T1^7*T2^10 + 55*T1^8*T2^10 - 158*T1^9*T2^10 + 89*T1^10*T2^10 + 
     10*T1^11*T2^10 - 33*T1^12*T2^10 - 9*T1^5*T2^11 + 8*T1^6*T2^11 + 
     2*T1^7*T2^11 + 14*T1^8*T2^11 - 38*T1^9*T2^11 + 10*T1^10*T2^11 + 
     24*T1^11*T2^11 - 17*T1^12*T2^11 + 17*T1^6*T2^12 - 17*T1^7*T2^12 - 
     33*T1^8*T2^12 + 75*T1^9*T2^12 - 33*T1^10*T2^12 - 17*T1^11*T2^12 + 
     17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 677] -> 
  {-((2 - 10*T + 20*T^2 - 25*T^3 + 20*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-41 + 205*T1 - 409*T1^2 + 511*T1^3 - 409*T1^4 + 205*T1^5 - 41*T1^6 + 
      205*T2 - 860*T1*T2 + 1212*T1^2*T2 - 906*T1^3*T2 - 6*T1^4*T2 + 
      612*T1^5*T2 - 620*T1^6*T2 + 165*T1^7*T2 - 409*T2^2 + 1212*T1*T2^2 - 
      147*T1^2*T2^2 - 1956*T1^3*T2^2 + 3799*T1^4*T2^2 - 3156*T1^5*T2^2 + 
      1293*T1^6*T2^2 + 412*T1^7*T2^2 - 249*T1^8*T2^2 + 511*T2^3 - 
      906*T1*T2^3 - 1956*T1^2*T2^3 + 4104*T1^3*T2^3 - 4093*T1^4*T2^3 + 
      407*T1^5*T2^3 + 2154*T1^6*T2^3 - 2556*T1^7*T2^3 + 194*T1^8*T2^3 + 
      211*T1^9*T2^3 - 409*T2^4 - 6*T1*T2^4 + 3799*T1^2*T2^4 - 
      4093*T1^3*T2^4 + 1804*T1^4*T2^4 + 2714*T1^5*T2^4 - 2816*T1^6*T2^4 + 
      907*T1^7*T2^4 + 1999*T1^8*T2^4 - 606*T1^9*T2^4 - 89*T1^10*T2^4 + 
      205*T2^5 + 612*T1*T2^5 - 3156*T1^2*T2^5 + 407*T1^3*T2^5 + 
      2714*T1^4*T2^5 - 4728*T1^5*T2^5 + 972*T1^6*T2^5 + 1914*T1^7*T2^5 - 
      3093*T1^8*T2^5 - 156*T1^9*T2^5 + 412*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 620*T1*T2^6 + 1293*T1^2*T2^6 + 2154*T1^3*T2^6 - 
      2816*T1^4*T2^6 + 972*T1^5*T2^6 + 3744*T1^6*T2^6 - 4068*T1^7*T2^6 + 
      2064*T1^8*T2^6 + 1554*T1^9*T2^6 - 627*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 165*T1*T2^7 + 412*T1^2*T2^7 - 2556*T1^3*T2^7 + 
      907*T1^4*T2^7 + 1914*T1^5*T2^7 - 4068*T1^6*T2^7 + 1632*T1^7*T2^7 + 
      1114*T1^8*T2^7 - 2593*T1^9*T2^7 + 444*T1^10*T2^7 + 212*T1^11*T2^7 - 
      35*T1^12*T2^7 - 249*T1^2*T2^8 + 194*T1^3*T2^8 + 1999*T1^4*T2^8 - 
      3093*T1^5*T2^8 + 2064*T1^6*T2^8 + 1114*T1^7*T2^8 - 2556*T1^8*T2^8 + 
      1907*T1^9*T2^8 + 199*T1^10*T2^8 - 406*T1^11*T2^8 + 71*T1^12*T2^8 + 
      211*T1^3*T2^9 - 606*T1^4*T2^9 - 156*T1^5*T2^9 + 1554*T1^6*T2^9 - 
      2593*T1^7*T2^9 + 1907*T1^8*T2^9 - 396*T1^9*T2^9 - 756*T1^10*T2^9 + 
      494*T1^11*T2^9 - 89*T1^12*T2^9 - 89*T1^4*T2^10 + 412*T1^5*T2^10 - 
      627*T1^6*T2^10 + 444*T1^7*T2^10 + 199*T1^8*T2^10 - 756*T1^9*T2^10 + 
      813*T1^10*T2^10 - 388*T1^11*T2^10 + 71*T1^12*T2^10 + 5*T1^5*T2^11 - 
      60*T1^6*T2^11 + 212*T1^7*T2^11 - 406*T1^8*T2^11 + 494*T1^9*T2^11 - 
      388*T1^10*T2^11 + 180*T1^11*T2^11 - 35*T1^12*T2^11 + 7*T1^6*T2^12 - 
      35*T1^7*T2^12 + 71*T1^8*T2^12 - 89*T1^9*T2^12 + 71*T1^10*T2^12 - 
      35*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 678] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 125*T1 - 281*T1^2 + 359*T1^3 - 281*T1^4 + 125*T1^5 - 31*T1^6 + 
     125*T2 - 408*T1*T2 + 756*T1^2*T2 - 602*T1^3*T2 + 54*T1^4*T2 + 
     340*T1^5*T2 - 248*T1^6*T2 + 93*T1^7*T2 - 281*T2^2 + 756*T1*T2^2 - 
     1210*T1^2*T2^2 + 463*T1^3*T2^2 + 490*T1^4*T2^2 - 617*T1^5*T2^2 - 
     58*T1^6*T2^2 + 180*T1^7*T2^2 - 137*T1^8*T2^2 + 359*T2^3 - 602*T1*T2^3 + 
     463*T1^2*T2^3 + 1322*T1^3*T2^3 - 1815*T1^4*T2^3 + 501*T1^5*T2^3 + 
     1028*T1^6*T2^3 - 581*T1^7*T2^3 + 214*T1^8*T2^3 + 83*T1^9*T2^3 - 
     281*T2^4 + 54*T1*T2^4 + 490*T1^2*T2^4 - 1815*T1^3*T2^4 - 89*T1^4*T2^4 + 
     2851*T1^5*T2^4 - 3305*T1^6*T2^4 + 761*T1^7*T2^4 + 138*T1^8*T2^4 - 
     362*T1^9*T2^4 + 7*T1^10*T2^4 + 125*T2^5 + 340*T1*T2^5 - 617*T1^2*T2^5 + 
     501*T1^3*T2^5 + 2851*T1^4*T2^5 - 4412*T1^5*T2^5 + 2130*T1^6*T2^5 + 
     1447*T1^7*T2^5 - 1295*T1^8*T2^5 + 571*T1^9*T2^5 + 116*T1^10*T2^5 - 
     35*T1^11*T2^5 - 31*T2^6 - 248*T1*T2^6 - 58*T1^2*T2^6 + 1028*T1^3*T2^6 - 
     3305*T1^4*T2^6 + 2130*T1^5*T2^6 + 1656*T1^6*T2^6 - 3686*T1^7*T2^6 + 
     1607*T1^8*T2^6 - 100*T1^9*T2^6 - 378*T1^10*T2^6 + 72*T1^11*T2^6 + 
     17*T1^12*T2^6 + 93*T1*T2^7 + 180*T1^2*T2^7 - 581*T1^3*T2^7 + 
     761*T1^4*T2^7 + 1447*T1^5*T2^7 - 3686*T1^6*T2^7 + 2856*T1^7*T2^7 + 
     43*T1^8*T2^7 - 1035*T1^9*T2^7 + 607*T1^10*T2^7 - 44*T1^11*T2^7 - 
     67*T1^12*T2^7 - 137*T1^2*T2^8 + 214*T1^3*T2^8 + 138*T1^4*T2^8 - 
     1295*T1^5*T2^8 + 1607*T1^6*T2^8 + 43*T1^7*T2^8 - 1609*T1^8*T2^8 + 
     1281*T1^9*T2^8 - 214*T1^10*T2^8 - 202*T1^11*T2^8 + 151*T1^12*T2^8 + 
     83*T1^3*T2^9 - 362*T1^4*T2^9 + 571*T1^5*T2^9 - 100*T1^6*T2^9 - 
     1035*T1^7*T2^9 + 1281*T1^8*T2^9 - 394*T1^9*T2^9 - 473*T1^10*T2^9 + 
     454*T1^11*T2^9 - 193*T1^12*T2^9 + 7*T1^4*T2^10 + 116*T1^5*T2^10 - 
     378*T1^6*T2^10 + 607*T1^7*T2^10 - 214*T1^8*T2^10 - 473*T1^9*T2^10 + 
     774*T1^10*T2^10 - 460*T1^11*T2^10 + 151*T1^12*T2^10 - 35*T1^5*T2^11 + 
     72*T1^6*T2^11 - 44*T1^7*T2^11 - 202*T1^8*T2^11 + 454*T1^9*T2^11 - 
     460*T1^10*T2^11 + 232*T1^11*T2^11 - 67*T1^12*T2^11 + 17*T1^6*T2^12 - 
     67*T1^7*T2^12 + 151*T1^8*T2^12 - 193*T1^9*T2^12 + 151*T1^10*T2^12 - 
     67*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 679] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6))/T^5, 
   (-10 + 10*T1 + 10*T1^2 - 40*T1^3 + 60*T1^4 - 70*T1^5 + 60*T1^6 - 40*T1^7 + 
     10*T1^8 + 10*T1^9 - 10*T1^10 + 10*T2 - T1*T2 - 19*T1^2*T2 + 31*T1^3*T2 - 
     24*T1^4*T2 + 16*T1^5*T2 + 3*T1^6*T2 - 14*T1^7*T2 + 26*T1^8*T2 - 
     19*T1^9*T2 + T1^10*T2 + 9*T1^11*T2 + 10*T2^2 - 19*T1*T2^2 + 
     6*T1^2*T2^2 + 41*T1^3*T2^2 - 100*T1^4*T2^2 + 148*T1^5*T2^2 - 
     162*T1^6*T2^2 + 142*T1^7*T2^2 - 90*T1^8*T2^2 + 31*T1^9*T2^2 + 
     10*T1^10*T2^2 - 17*T1^11*T2^2 + 8*T1^12*T2^2 - 40*T2^3 + 31*T1*T2^3 + 
     41*T1^2*T2^3 - 159*T1^3*T2^3 + 218*T1^4*T2^3 - 210*T1^5*T2^3 + 
     107*T1^6*T2^3 - 124*T1^8*T2^3 + 163*T1^9*T2^3 - 123*T1^10*T2^3 + 
     27*T1^11*T2^3 + 20*T1^12*T2^3 - 28*T1^13*T2^3 + 60*T2^4 - 24*T1*T2^4 - 
     100*T1^2*T2^4 + 218*T1^3*T2^4 - 183*T1^4*T2^4 + 103*T1^5*T2^4 + 
     13*T1^6*T2^4 - 59*T1^7*T2^4 + 109*T1^8*T2^4 - 49*T1^9*T2^4 - 
     55*T1^10*T2^4 + 138*T1^11*T2^4 - 68*T1^12*T2^4 - 8*T1^13*T2^4 + 
     36*T1^14*T2^4 - 70*T2^5 + 16*T1*T2^5 + 148*T1^2*T2^5 - 210*T1^3*T2^5 + 
     103*T1^4*T2^5 - 47*T1^5*T2^5 + 5*T1^6*T2^5 + 11*T1^7*T2^5 - 
     46*T1^8*T2^5 + 14*T1^9*T2^5 + 53*T1^10*T2^5 - 53*T1^11*T2^5 - 
     80*T1^12*T2^5 + 91*T1^13*T2^5 - T1^14*T2^5 - 35*T1^15*T2^5 + 60*T2^6 + 
     3*T1*T2^6 - 162*T1^2*T2^6 + 107*T1^3*T2^6 + 13*T1^4*T2^6 + 5*T1^5*T2^6 - 
     35*T1^6*T2^6 + 9*T1^7*T2^6 - 11*T1^8*T2^6 + 5*T1^9*T2^6 - 
     67*T1^10*T2^6 + 9*T1^11*T2^6 + 93*T1^12*T2^6 - 21*T1^13*T2^6 - 
     86*T1^14*T2^6 + 11*T1^15*T2^6 + 24*T1^16*T2^6 - 40*T2^7 - 14*T1*T2^7 + 
     142*T1^2*T2^7 - 59*T1^4*T2^7 + 11*T1^5*T2^7 + 9*T1^6*T2^7 + 
     67*T1^7*T2^7 - 11*T1^8*T2^7 + 37*T1^9*T2^7 + 73*T1^10*T2^7 + 
     6*T1^11*T2^7 - 36*T1^12*T2^7 - 38*T1^13*T2^7 + 79*T1^14*T2^7 + 
     63*T1^15*T2^7 - 12*T1^16*T2^7 - 12*T1^17*T2^7 + 10*T2^8 + 26*T1*T2^8 - 
     90*T1^2*T2^8 - 124*T1^3*T2^8 + 109*T1^4*T2^8 - 46*T1^5*T2^8 - 
     11*T1^6*T2^8 - 11*T1^7*T2^8 - 146*T1^8*T2^8 + 100*T1^9*T2^8 - 
     202*T1^10*T2^8 + 37*T1^11*T2^8 - 19*T1^12*T2^8 + 26*T1^13*T2^8 - 
     19*T1^14*T2^8 - 100*T1^15*T2^8 - 34*T1^16*T2^8 + 10*T1^17*T2^8 + 
     2*T1^18*T2^8 + 10*T2^9 - 19*T1*T2^9 + 31*T1^2*T2^9 + 163*T1^3*T2^9 - 
     49*T1^4*T2^9 + 14*T1^5*T2^9 + 5*T1^6*T2^9 + 37*T1^7*T2^9 + 
     100*T1^8*T2^9 + 92*T1^10*T2^9 + 74*T1^11*T2^9 - 11*T1^12*T2^9 + 
     12*T1^13*T2^9 - 15*T1^14*T2^9 + 83*T1^15*T2^9 + 68*T1^16*T2^9 + 
     13*T1^17*T2^9 - 3*T1^18*T2^9 + T1^19*T2^9 - 10*T2^10 + T1*T2^10 + 
     10*T1^2*T2^10 - 123*T1^3*T2^10 - 55*T1^4*T2^10 + 53*T1^5*T2^10 - 
     67*T1^6*T2^10 + 73*T1^7*T2^10 - 202*T1^8*T2^10 + 92*T1^9*T2^10 - 
     156*T1^10*T2^10 - 8*T1^11*T2^10 - 70*T1^12*T2^10 + 19*T1^13*T2^10 + 
     5*T1^14*T2^10 - 37*T1^15*T2^10 - 81*T1^16*T2^10 - 33*T1^17*T2^10 - 
     2*T1^18*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - 17*T1^2*T2^11 + 
     27*T1^3*T2^11 + 138*T1^4*T2^11 - 53*T1^5*T2^11 + 9*T1^6*T2^11 + 
     6*T1^7*T2^11 + 37*T1^8*T2^11 + 74*T1^9*T2^11 - 8*T1^10*T2^11 + 
     84*T1^11*T2^11 + 48*T1^12*T2^11 - 11*T1^13*T2^11 + 13*T1^14*T2^11 - 
     20*T1^15*T2^11 + 79*T1^16*T2^11 + 43*T1^17*T2^11 + 9*T1^18*T2^11 - 
     T1^19*T2^11 + 8*T1^2*T2^12 + 20*T1^3*T2^12 - 68*T1^4*T2^12 - 
     80*T1^5*T2^12 + 93*T1^6*T2^12 - 36*T1^7*T2^12 - 19*T1^8*T2^12 - 
     11*T1^9*T2^12 - 70*T1^10*T2^12 + 48*T1^11*T2^12 - 126*T1^12*T2^12 + 
     37*T1^13*T2^12 - 27*T1^14*T2^12 + 36*T1^15*T2^12 - 35*T1^16*T2^12 - 
     56*T1^17*T2^12 - 12*T1^18*T2^12 + 4*T1^19*T2^12 - 28*T1^3*T2^13 - 
     8*T1^4*T2^13 + 91*T1^5*T2^13 - 21*T1^6*T2^13 - 38*T1^7*T2^13 + 
     26*T1^8*T2^13 + 12*T1^9*T2^13 + 19*T1^10*T2^13 - 11*T1^11*T2^13 + 
     37*T1^12*T2^13 + 25*T1^13*T2^13 + 9*T1^14*T2^13 - 21*T1^15*T2^13 - 
     17*T1^16*T2^13 + 58*T1^17*T2^13 + 12*T1^18*T2^13 - 6*T1^19*T2^13 + 
     36*T1^4*T2^14 - T1^5*T2^14 - 86*T1^6*T2^14 + 79*T1^7*T2^14 - 
     19*T1^8*T2^14 - 15*T1^9*T2^14 + 5*T1^10*T2^14 + 13*T1^11*T2^14 - 
     27*T1^12*T2^14 + 9*T1^13*T2^14 - 27*T1^14*T2^14 - 11*T1^15*T2^14 + 
     61*T1^16*T2^14 - 49*T1^17*T2^14 - 10*T1^18*T2^14 + 7*T1^19*T2^14 - 
     35*T1^5*T2^15 + 11*T1^6*T2^15 + 63*T1^7*T2^15 - 100*T1^8*T2^15 + 
     83*T1^9*T2^15 - 37*T1^10*T2^15 - 20*T1^11*T2^15 + 36*T1^12*T2^15 - 
     21*T1^13*T2^15 - 11*T1^14*T2^15 + 63*T1^15*T2^15 - 73*T1^16*T2^15 + 
     30*T1^17*T2^15 + 6*T1^18*T2^15 - 6*T1^19*T2^15 + 24*T1^6*T2^16 - 
     12*T1^7*T2^16 - 34*T1^8*T2^16 + 68*T1^9*T2^16 - 81*T1^10*T2^16 + 
     79*T1^11*T2^16 - 35*T1^12*T2^16 - 17*T1^13*T2^16 + 61*T1^14*T2^16 - 
     73*T1^15*T2^16 + 47*T1^16*T2^16 - 12*T1^17*T2^16 - 2*T1^18*T2^16 + 
     4*T1^19*T2^16 - 12*T1^7*T2^17 + 10*T1^8*T2^17 + 13*T1^9*T2^17 - 
     33*T1^10*T2^17 + 43*T1^11*T2^17 - 56*T1^12*T2^17 + 58*T1^13*T2^17 - 
     49*T1^14*T2^17 + 30*T1^15*T2^17 - 12*T1^16*T2^17 + 3*T1^17*T2^17 - 
     T1^18*T2^17 - T1^19*T2^17 + 2*T1^8*T2^18 - 3*T1^9*T2^18 - 
     2*T1^10*T2^18 + 9*T1^11*T2^18 - 12*T1^12*T2^18 + 12*T1^13*T2^18 - 
     10*T1^14*T2^18 + 6*T1^15*T2^18 - 2*T1^16*T2^18 - T1^17*T2^18 + 
     2*T1^18*T2^18 - T1^19*T2^18 + T1^9*T2^19 - T1^10*T2^19 - T1^11*T2^19 + 
     4*T1^12*T2^19 - 6*T1^13*T2^19 + 7*T1^14*T2^19 - 6*T1^15*T2^19 + 
     4*T1^16*T2^19 - T1^17*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, NonAlternating, 680] -> 
  {(2 - 3*T - T^2 + 8*T^3 - 11*T^4 + 8*T^5 - T^6 - 3*T^7 + 2*T^8)/T^4, 
   -((65 - 97*T1 - 33*T1^2 + 260*T1^3 - 357*T1^4 + 260*T1^5 - 33*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 176*T1^2*T2 - 345*T1^3*T2 + 
      193*T1^4*T2 + 79*T1^5*T2 - 291*T1^6*T2 + 188*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 - 33*T2^2 + 176*T1*T2^2 - 190*T1^2*T2^2 - 163*T1^3*T2^2 + 
      674*T1^4*T2^2 - 878*T1^5*T2^2 + 634*T1^6*T2^2 - 119*T1^7*T2^2 - 
      202*T1^8*T2^2 + 164*T1^9*T2^2 - 25*T1^10*T2^2 + 260*T2^3 - 
      345*T1*T2^3 - 163*T1^2*T2^3 + 1047*T1^3*T2^3 - 1347*T1^4*T2^3 + 
      764*T1^5*T2^3 + 389*T1^6*T2^3 - 990*T1^7*T2^3 + 753*T1^8*T2^3 - 
      100*T1^9*T2^3 - 207*T1^10*T2^3 + 164*T1^11*T2^3 - 357*T2^4 + 
      193*T1*T2^4 + 674*T1^2*T2^4 - 1347*T1^3*T2^4 + 649*T1^4*T2^4 + 
      730*T1^5*T2^4 - 1771*T1^6*T2^4 + 1218*T1^7*T2^4 + 33*T1^8*T2^4 - 
      787*T1^9*T2^4 + 442*T1^10*T2^4 + 25*T1^11*T2^4 - 181*T1^12*T2^4 + 
      260*T2^5 + 79*T1*T2^5 - 878*T1^2*T2^5 + 764*T1^3*T2^5 + 730*T1^4*T2^5 - 
      1811*T1^5*T2^5 + 1445*T1^6*T2^5 + 242*T1^7*T2^5 - 1427*T1^8*T2^5 + 
      1032*T1^9*T2^5 + 183*T1^10*T2^5 - 485*T1^11*T2^5 + 121*T1^12*T2^5 + 
      100*T1^13*T2^5 - 33*T2^6 - 291*T1*T2^6 + 634*T1^2*T2^6 + 
      389*T1^3*T2^6 - 1771*T1^4*T2^6 + 1445*T1^5*T2^6 + 411*T1^6*T2^6 - 
      1813*T1^7*T2^6 + 1651*T1^8*T2^6 + 51*T1^9*T2^6 - 1069*T1^10*T2^6 + 
      455*T1^11*T2^6 + 290*T1^12*T2^6 - 135*T1^13*T2^6 - 9*T1^14*T2^6 - 
      97*T2^7 + 188*T1*T2^7 - 119*T1^2*T2^7 - 990*T1^3*T2^7 + 
      1218*T1^4*T2^7 + 242*T1^5*T2^7 - 1813*T1^6*T2^7 + 1485*T1^7*T2^7 - 
      211*T1^8*T2^7 - 1345*T1^9*T2^7 + 1063*T1^10*T2^7 + 172*T1^11*T2^7 - 
      535*T1^12*T2^7 - 68*T1^13*T2^7 + 32*T1^14*T2^7 - 13*T1^15*T2^7 + 
      65*T2^8 + 30*T1*T2^8 - 202*T1^2*T2^8 + 753*T1^3*T2^8 + 33*T1^4*T2^8 - 
      1427*T1^5*T2^8 + 1651*T1^6*T2^8 - 211*T1^7*T2^8 - 852*T1^8*T2^8 + 
      1283*T1^9*T2^8 - 105*T1^10*T2^8 - 737*T1^11*T2^8 + 341*T1^12*T2^8 + 
      307*T1^13*T2^8 - 16*T1^14*T2^8 + 18*T1^15*T2^8 + T1^16*T2^8 - 
      85*T1*T2^9 + 164*T1^2*T2^9 - 100*T1^3*T2^9 - 787*T1^4*T2^9 + 
      1032*T1^5*T2^9 + 51*T1^6*T2^9 - 1345*T1^7*T2^9 + 1283*T1^8*T2^9 - 
      413*T1^9*T2^9 - 877*T1^10*T2^9 + 872*T1^11*T2^9 - 14*T1^12*T2^9 - 
      332*T1^13*T2^9 - 49*T1^14*T2^9 + 8*T1^15*T2^9 - T1^16*T2^9 - 
      25*T1^2*T2^10 - 207*T1^3*T2^10 + 442*T1^4*T2^10 + 183*T1^5*T2^10 - 
      1069*T1^6*T2^10 + 1063*T1^7*T2^10 - 105*T1^8*T2^10 - 877*T1^9*T2^10 + 
      1135*T1^10*T2^10 - 331*T1^11*T2^10 - 367*T1^12*T2^10 + 
      249*T1^13*T2^10 + 98*T1^14*T2^10 - 51*T1^15*T2^10 - T1^16*T2^10 + 
      164*T1^3*T2^11 + 25*T1^4*T2^11 - 485*T1^5*T2^11 + 455*T1^6*T2^11 + 
      172*T1^7*T2^11 - 737*T1^8*T2^11 + 872*T1^9*T2^11 - 331*T1^10*T2^11 - 
      353*T1^11*T2^11 + 474*T1^12*T2^11 - 126*T1^13*T2^11 - 92*T1^14*T2^11 + 
      67*T1^15*T2^11 + 4*T1^16*T2^11 - 181*T1^4*T2^12 + 121*T1^5*T2^12 + 
      290*T1^6*T2^12 - 535*T1^7*T2^12 + 341*T1^8*T2^12 - 14*T1^9*T2^12 - 
      367*T1^10*T2^12 + 474*T1^11*T2^12 - 275*T1^12*T2^12 + 25*T1^13*T2^12 + 
      58*T1^14*T2^12 - 47*T1^15*T2^12 - 5*T1^16*T2^12 + 100*T1^5*T2^13 - 
      135*T1^6*T2^13 - 68*T1^7*T2^13 + 307*T1^8*T2^13 - 332*T1^9*T2^13 + 
      249*T1^10*T2^13 - 126*T1^11*T2^13 + 25*T1^12*T2^13 + 13*T1^13*T2^13 - 
      5*T1^14*T2^13 + 3*T1^15*T2^13 + 4*T1^16*T2^13 - 9*T1^6*T2^14 + 
      32*T1^7*T2^14 - 16*T1^8*T2^14 - 49*T1^9*T2^14 + 98*T1^10*T2^14 - 
      92*T1^11*T2^14 + 58*T1^12*T2^14 - 5*T1^13*T2^14 - 28*T1^14*T2^14 + 
      20*T1^15*T2^14 - T1^16*T2^14 - 13*T1^7*T2^15 + 18*T1^8*T2^15 + 
      8*T1^9*T2^15 - 51*T1^10*T2^15 + 67*T1^11*T2^15 - 47*T1^12*T2^15 + 
      3*T1^13*T2^15 + 20*T1^14*T2^15 - 12*T1^15*T2^15 - T1^16*T2^15 + 
      T1^8*T2^16 - T1^9*T2^16 - T1^10*T2^16 + 4*T1^11*T2^16 - 5*T1^12*T2^16 + 
      4*T1^13*T2^16 - T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 681] -> 
  {(1 - T + T^2 - T^3 + T^4)^2/T^4, (-4 + 8*T1 - 12*T1^2 + 16*T1^3 - 
     20*T1^4 + 16*T1^5 - 12*T1^6 + 8*T1^7 - 4*T1^8 + 8*T2 - 8*T1*T2 + 
     9*T1^2*T2 - 12*T1^3*T2 + 16*T1^4*T2 - 2*T1^5*T2 + 2*T1^6*T2 - T1^7*T2 - 
     2*T1^8*T2 + 6*T1^9*T2 - 12*T2^2 + 9*T1*T2^2 - 18*T1^2*T2^2 + 
     26*T1^3*T2^2 - 28*T1^4*T2^2 + 2*T1^5*T2^2 - 16*T1^6*T2^2 + 
     14*T1^7*T2^2 - 6*T1^8*T2^2 - 3*T1^9*T2^2 - 6*T1^10*T2^2 + 16*T2^3 - 
     12*T1*T2^3 + 26*T1^2*T2^3 - 30*T1^3*T2^3 + 28*T1^4*T2^3 + 30*T1^6*T2^3 - 
     14*T1^7*T2^3 + 8*T1^9*T2^3 + 6*T1^10*T2^3 + 4*T1^11*T2^3 - 20*T2^4 + 
     16*T1*T2^4 - 28*T1^2*T2^4 + 28*T1^3*T2^4 - 14*T1^4*T2^4 - 23*T1^5*T2^4 - 
     31*T1^7*T2^4 + 34*T1^8*T2^4 - 20*T1^9*T2^4 - 8*T1^11*T2^4 + 16*T2^5 - 
     2*T1*T2^5 + 2*T1^2*T2^5 - 23*T1^4*T2^5 + 30*T1^5*T2^5 + 6*T1^6*T2^5 + 
     8*T1^7*T2^5 + 4*T1^8*T2^5 - 33*T1^9*T2^5 + 26*T1^10*T2^5 - 
     10*T1^11*T2^5 + 8*T1^12*T2^5 - 4*T1^13*T2^5 - 12*T2^6 + 2*T1*T2^6 - 
     16*T1^2*T2^6 + 30*T1^3*T2^6 + 6*T1^5*T2^6 + 2*T1^6*T2^6 - 28*T1^7*T2^6 + 
     34*T1^8*T2^6 + 2*T1^9*T2^6 + 22*T1^10*T2^6 - 6*T1^11*T2^6 + 
     4*T1^12*T2^6 - 2*T1^13*T2^6 + 6*T1^14*T2^6 + 8*T2^7 - T1*T2^7 + 
     14*T1^2*T2^7 - 14*T1^3*T2^7 - 31*T1^4*T2^7 + 8*T1^5*T2^7 - 
     28*T1^6*T2^7 + 16*T1^7*T2^7 - 20*T1^8*T2^7 - 32*T1^9*T2^7 - 
     6*T1^10*T2^7 - 29*T1^11*T2^7 + 4*T1^12*T2^7 - 4*T1^13*T2^7 - 
     3*T1^14*T2^7 - 6*T1^15*T2^7 - 4*T2^8 - 2*T1*T2^8 - 6*T1^2*T2^8 + 
     34*T1^4*T2^8 + 4*T1^5*T2^8 + 34*T1^6*T2^8 - 20*T1^7*T2^8 + 
     48*T1^8*T2^8 + 4*T1^9*T2^8 + 42*T1^10*T2^8 + 12*T1^11*T2^8 + 
     22*T1^12*T2^8 + 6*T1^14*T2^8 + 6*T1^15*T2^8 + 4*T1^16*T2^8 + 6*T1*T2^9 - 
     3*T1^2*T2^9 + 8*T1^3*T2^9 - 20*T1^4*T2^9 - 33*T1^5*T2^9 + 2*T1^6*T2^9 - 
     32*T1^7*T2^9 + 4*T1^8*T2^9 - 32*T1^9*T2^9 - 36*T1^10*T2^9 - 
     12*T1^11*T2^9 - 31*T1^12*T2^9 - 2*T1^13*T2^9 - 10*T1^14*T2^9 - 
     5*T1^15*T2^9 - 8*T1^16*T2^9 - 6*T1^2*T2^10 + 6*T1^3*T2^10 + 
     26*T1^5*T2^10 + 22*T1^6*T2^10 - 6*T1^7*T2^10 + 42*T1^8*T2^10 - 
     36*T1^9*T2^10 + 74*T1^10*T2^10 - 10*T1^11*T2^10 + 44*T1^12*T2^10 - 
     10*T1^13*T2^10 + 20*T1^14*T2^10 + 2*T1^15*T2^10 + 12*T1^16*T2^10 + 
     4*T1^3*T2^11 - 8*T1^4*T2^11 - 10*T1^5*T2^11 - 6*T1^6*T2^11 - 
     29*T1^7*T2^11 + 12*T1^8*T2^11 - 12*T1^9*T2^11 - 10*T1^10*T2^11 - 
     14*T1^11*T2^11 - 39*T1^12*T2^11 + 20*T1^13*T2^11 - 22*T1^14*T2^11 + 
     2*T1^15*T2^11 - 16*T1^16*T2^11 + 8*T1^5*T2^12 + 4*T1^6*T2^12 + 
     4*T1^7*T2^12 + 22*T1^8*T2^12 - 31*T1^9*T2^12 + 44*T1^10*T2^12 - 
     39*T1^11*T2^12 + 70*T1^12*T2^12 - 44*T1^13*T2^12 + 32*T1^14*T2^12 - 
     16*T1^15*T2^12 + 20*T1^16*T2^12 - 4*T1^5*T2^13 - 2*T1^6*T2^13 - 
     4*T1^7*T2^13 - 2*T1^9*T2^13 - 10*T1^10*T2^13 + 20*T1^11*T2^13 - 
     44*T1^12*T2^13 + 30*T1^13*T2^13 - 22*T1^14*T2^13 + 16*T1^15*T2^13 - 
     16*T1^16*T2^13 + 6*T1^6*T2^14 - 3*T1^7*T2^14 + 6*T1^8*T2^14 - 
     10*T1^9*T2^14 + 20*T1^10*T2^14 - 22*T1^11*T2^14 + 32*T1^12*T2^14 - 
     22*T1^13*T2^14 + 18*T1^14*T2^14 - 15*T1^15*T2^14 + 12*T1^16*T2^14 - 
     6*T1^7*T2^15 + 6*T1^8*T2^15 - 5*T1^9*T2^15 + 2*T1^10*T2^15 + 
     2*T1^11*T2^15 - 16*T1^12*T2^15 + 16*T1^13*T2^15 - 15*T1^14*T2^15 + 
     12*T1^15*T2^15 - 8*T1^16*T2^15 + 4*T1^8*T2^16 - 8*T1^9*T2^16 + 
     12*T1^10*T2^16 - 16*T1^11*T2^16 + 20*T1^12*T2^16 - 16*T1^13*T2^16 + 
     12*T1^14*T2^16 - 8*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 682] -> 
  {-(((1 - 5*T + 7*T^2 - 5*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 42*T1 - 91*T1^2 + 126*T1^3 - 133*T1^4 + 126*T1^5 - 91*T1^6 + 
      42*T1^7 - 7*T1^8 + 42*T2 - 216*T1*T2 + 326*T1^2*T2 - 280*T1^3*T2 + 
      145*T1^4*T2 - 77*T1^5*T2 - 94*T1^6*T2 + 212*T1^7*T2 - 174*T1^8*T2 + 
      36*T1^9*T2 - 91*T2^2 + 326*T1*T2^2 + 68*T1^2*T2^2 - 808*T1^3*T2^2 + 
      1331*T1^4*T2^2 - 1300*T1^5*T2^2 + 1487*T1^6*T2^2 - 1120*T1^7*T2^2 + 
      380*T1^8*T2^2 + 170*T1^9*T2^2 - 65*T1^10*T2^2 + 126*T2^3 - 
      280*T1*T2^3 - 808*T1^2*T2^3 + 1592*T1^3*T2^3 - 1424*T1^4*T2^3 + 
      551*T1^5*T2^3 - 661*T1^6*T2^3 - 356*T1^7*T2^3 + 1136*T1^8*T2^3 - 
      964*T1^9*T2^3 - 34*T1^10*T2^3 + 72*T1^11*T2^3 - 133*T2^4 + 
      145*T1*T2^4 + 1331*T1^2*T2^4 - 1424*T1^3*T2^4 + 624*T1^4*T2^4 + 
      188*T1^5*T2^4 + 668*T1^6*T2^4 + 572*T1^7*T2^4 - 600*T1^8*T2^4 - 
      200*T1^9*T2^4 + 1023*T1^10*T2^4 - 95*T1^11*T2^4 - 57*T1^12*T2^4 + 
      126*T2^5 - 77*T1*T2^5 - 1300*T1^2*T2^5 + 551*T1^3*T2^5 + 
      188*T1^4*T2^5 - 372*T1^5*T2^5 - 931*T1^6*T2^5 - 697*T1^7*T2^5 + 
      42*T1^8*T2^5 + 530*T1^9*T2^5 - 637*T1^10*T2^5 - 652*T1^11*T2^5 + 
      121*T1^12*T2^5 + 36*T1^13*T2^5 - 91*T2^6 - 94*T1*T2^6 + 
      1487*T1^2*T2^6 - 661*T1^3*T2^6 + 668*T1^4*T2^6 - 931*T1^5*T2^6 + 
      1857*T1^6*T2^6 + 329*T1^7*T2^6 + 573*T1^8*T2^6 - 487*T1^9*T2^6 + 
      302*T1^10*T2^6 + 587*T1^11*T2^6 + 403*T1^12*T2^6 - 130*T1^13*T2^6 - 
      13*T1^14*T2^6 + 42*T2^7 + 212*T1*T2^7 - 1120*T1^2*T2^7 - 
      356*T1^3*T2^7 + 572*T1^4*T2^7 - 697*T1^5*T2^7 + 329*T1^6*T2^7 - 
      1992*T1^7*T2^7 + 245*T1^9*T2^7 - 511*T1^10*T2^7 + 62*T1^11*T2^7 - 
      800*T1^12*T2^7 - 28*T1^13*T2^7 + 74*T1^14*T2^7 - 7*T2^8 - 174*T1*T2^8 + 
      380*T1^2*T2^8 + 1136*T1^3*T2^8 - 600*T1^4*T2^8 + 42*T1^5*T2^8 + 
      573*T1^6*T2^8 + 2244*T1^8*T2^8 - 1680*T1^9*T2^8 + 1181*T1^10*T2^8 - 
      390*T1^11*T2^8 + 564*T1^12*T2^8 + 392*T1^13*T2^8 - 136*T1^14*T2^8 - 
      6*T1^15*T2^8 + T1^16*T2^8 + 36*T1*T2^9 + 170*T1^2*T2^9 - 
      964*T1^3*T2^9 - 200*T1^4*T2^9 + 530*T1^5*T2^9 - 487*T1^6*T2^9 + 
      245*T1^7*T2^9 - 1680*T1^8*T2^9 + 312*T1^9*T2^9 + 161*T1^10*T2^9 - 
      301*T1^11*T2^9 + 20*T1^12*T2^9 - 644*T1^13*T2^9 + 128*T1^14*T2^9 + 
      32*T1^15*T2^9 - 6*T1^16*T2^9 - 65*T1^2*T2^10 - 34*T1^3*T2^10 + 
      1023*T1^4*T2^10 - 637*T1^5*T2^10 + 302*T1^6*T2^10 - 511*T1^7*T2^10 + 
      1181*T1^8*T2^10 + 161*T1^9*T2^10 - 103*T1^10*T2^10 - 67*T1^11*T2^10 - 
      64*T1^12*T2^10 + 611*T1^13*T2^10 - 61*T1^14*T2^10 - 70*T1^15*T2^10 + 
      13*T1^16*T2^10 + 72*T1^3*T2^11 - 95*T1^4*T2^11 - 652*T1^5*T2^11 + 
      587*T1^6*T2^11 + 62*T1^7*T2^11 - 390*T1^8*T2^11 - 301*T1^9*T2^11 - 
      67*T1^10*T2^11 + 24*T1^11*T2^11 + 404*T1^12*T2^11 - 601*T1^13*T2^11 - 
      4*T1^14*T2^11 + 103*T1^15*T2^11 - 18*T1^16*T2^11 - 57*T1^4*T2^12 + 
      121*T1^5*T2^12 + 403*T1^6*T2^12 - 800*T1^7*T2^12 + 564*T1^8*T2^12 + 
      20*T1^9*T2^12 - 64*T1^10*T2^12 + 404*T1^11*T2^12 - 660*T1^12*T2^12 + 
      424*T1^13*T2^12 + 95*T1^14*T2^12 - 119*T1^15*T2^12 + 19*T1^16*T2^12 + 
      36*T1^5*T2^13 - 130*T1^6*T2^13 - 28*T1^7*T2^13 + 392*T1^8*T2^13 - 
      644*T1^9*T2^13 + 611*T1^10*T2^13 - 601*T1^11*T2^13 + 424*T1^12*T2^13 - 
      64*T1^13*T2^13 - 184*T1^14*T2^13 + 116*T1^15*T2^13 - 18*T1^16*T2^13 - 
      13*T1^6*T2^14 + 74*T1^7*T2^14 - 136*T1^8*T2^14 + 128*T1^9*T2^14 - 
      61*T1^10*T2^14 - 4*T1^11*T2^14 + 95*T1^12*T2^14 - 184*T1^13*T2^14 + 
      176*T1^14*T2^14 - 82*T1^15*T2^14 + 13*T1^16*T2^14 - 6*T1^8*T2^15 + 
      32*T1^9*T2^15 - 70*T1^10*T2^15 + 103*T1^11*T2^15 - 119*T1^12*T2^15 + 
      116*T1^13*T2^15 - 82*T1^14*T2^15 + 36*T1^15*T2^15 - 6*T1^16*T2^15 + 
      T1^8*T2^16 - 6*T1^9*T2^16 + 13*T1^10*T2^16 - 18*T1^11*T2^16 + 
      19*T1^12*T2^16 - 18*T1^13*T2^16 + 13*T1^14*T2^16 - 6*T1^15*T2^16 + 
      T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 683] -> 
  {(1 - 4*T + 11*T^2 - 18*T^3 + 21*T^4 - 18*T^5 + 11*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 22*T1^2 + 36*T1^3 - 42*T1^4 + 36*T1^5 - 22*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 72*T1^2*T2 - 100*T1^3*T2 + 96*T1^4*T2 - 
     60*T1^5*T2 + 16*T1^6*T2 + 12*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 22*T2^2 + 
     72*T1*T2^2 - 171*T1^2*T2^2 + 205*T1^3*T2^2 - 152*T1^4*T2^2 + 
     35*T1^5*T2^2 + 68*T1^6*T2^2 - 103*T1^7*T2^2 + 49*T1^8*T2^2 - 
     16*T1^9*T2^2 + 36*T2^3 - 100*T1*T2^3 + 205*T1^2*T2^3 - 168*T1^3*T2^3 + 
     26*T1^4*T2^3 + 83*T1^5*T2^3 - 67*T1^6*T2^3 - 48*T1^7*T2^3 + 
     198*T1^8*T2^3 - 169*T1^9*T2^3 + 72*T1^10*T2^3 - 18*T1^11*T2^3 - 
     42*T2^4 + 96*T1*T2^4 - 152*T1^2*T2^4 + 26*T1^3*T2^4 + 184*T1^4*T2^4 - 
     161*T1^5*T2^4 + 24*T1^6*T2^4 + 103*T1^7*T2^4 - 152*T1^8*T2^4 - 
     46*T1^9*T2^4 + 196*T1^10*T2^4 - 96*T1^11*T2^4 + 42*T1^12*T2^4 + 
     36*T2^5 - 60*T1*T2^5 + 35*T1^2*T2^5 + 83*T1^3*T2^5 - 161*T1^4*T2^5 - 
     392*T1^5*T2^5 + 805*T1^6*T2^5 - 959*T1^7*T2^5 + 760*T1^8*T2^5 - 
     233*T1^9*T2^5 - 79*T1^10*T2^5 - 145*T1^11*T2^5 + 48*T1^12*T2^5 - 
     54*T1^13*T2^5 - 22*T2^6 + 16*T1*T2^6 + 68*T1^2*T2^6 - 67*T1^3*T2^6 + 
     24*T1^4*T2^6 + 805*T1^5*T2^6 - 643*T1^6*T2^6 + 137*T1^7*T2^6 + 
     605*T1^8*T2^6 - 1091*T1^9*T2^6 + 846*T1^10*T2^6 + 65*T1^11*T2^6 + 
     104*T1^12*T2^6 + 40*T1^13*T2^6 + 44*T1^14*T2^6 + 8*T2^7 + 12*T1*T2^7 - 
     103*T1^2*T2^7 - 48*T1^3*T2^7 + 103*T1^4*T2^7 - 959*T1^5*T2^7 + 
     137*T1^6*T2^7 + 220*T1^7*T2^7 - 456*T1^8*T2^7 + 121*T1^9*T2^7 + 
     541*T1^10*T2^7 - 1169*T1^11*T2^7 + 34*T1^12*T2^7 - 125*T1^13*T2^7 - 
     96*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 49*T1^2*T2^8 + 
     198*T1^3*T2^8 - 152*T1^4*T2^8 + 760*T1^5*T2^8 + 605*T1^6*T2^8 - 
     456*T1^7*T2^8 + 348*T1^8*T2^8 + 176*T1^9*T2^8 - 427*T1^10*T2^8 + 
     400*T1^11*T2^8 + 1020*T1^12*T2^8 - 178*T1^13*T2^8 + 237*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 
     169*T1^3*T2^9 - 46*T1^4*T2^9 - 233*T1^5*T2^9 - 1091*T1^6*T2^9 + 
     121*T1^7*T2^9 + 176*T1^8*T2^9 - 500*T1^9*T2^9 + 105*T1^10*T2^9 + 
     409*T1^11*T2^9 - 1505*T1^12*T2^9 + 36*T1^13*T2^9 - 191*T1^14*T2^9 - 
     124*T1^15*T2^9 - 24*T1^16*T2^9 + 72*T1^3*T2^10 + 196*T1^4*T2^10 - 
     79*T1^5*T2^10 + 846*T1^6*T2^10 + 541*T1^7*T2^10 - 427*T1^8*T2^10 + 
     105*T1^9*T2^10 + 821*T1^10*T2^10 - 1355*T1^11*T2^10 + 1668*T1^12*T2^10 + 
     53*T1^13*T2^10 + 232*T1^14*T2^10 + 96*T1^15*T2^10 + 66*T1^16*T2^10 - 
     18*T1^3*T2^11 - 96*T1^4*T2^11 - 145*T1^5*T2^11 + 65*T1^6*T2^11 - 
     1169*T1^7*T2^11 + 400*T1^8*T2^11 + 409*T1^9*T2^11 - 1355*T1^10*T2^11 + 
     1552*T1^11*T2^11 - 1241*T1^12*T2^11 - 97*T1^13*T2^11 - 325*T1^14*T2^11 + 
     12*T1^15*T2^11 - 108*T1^16*T2^11 + 42*T1^4*T2^12 + 48*T1^5*T2^12 + 
     104*T1^6*T2^12 + 34*T1^7*T2^12 + 1020*T1^8*T2^12 - 1505*T1^9*T2^12 + 
     1668*T1^10*T2^12 - 1241*T1^11*T2^12 + 684*T1^12*T2^12 - 38*T1^13*T2^12 + 
     452*T1^14*T2^12 - 144*T1^15*T2^12 + 126*T1^16*T2^12 - 54*T1^5*T2^13 + 
     40*T1^6*T2^13 - 125*T1^7*T2^13 - 178*T1^8*T2^13 + 36*T1^9*T2^13 + 
     53*T1^10*T2^13 - 97*T1^11*T2^13 - 38*T1^12*T2^13 + 188*T1^13*T2^13 - 
     499*T1^14*T2^13 + 212*T1^15*T2^13 - 108*T1^16*T2^13 + 44*T1^6*T2^14 - 
     96*T1^7*T2^14 + 237*T1^8*T2^14 - 191*T1^9*T2^14 + 232*T1^10*T2^14 - 
     325*T1^11*T2^14 + 452*T1^12*T2^14 - 499*T1^13*T2^14 + 457*T1^14*T2^14 - 
     184*T1^15*T2^14 + 66*T1^16*T2^14 - 20*T1^7*T2^15 + 56*T1^8*T2^15 - 
     124*T1^9*T2^15 + 96*T1^10*T2^15 + 12*T1^11*T2^15 - 144*T1^12*T2^15 + 
     212*T1^13*T2^15 - 184*T1^14*T2^15 + 76*T1^15*T2^15 - 24*T1^16*T2^15 + 
     6*T1^8*T2^16 - 24*T1^9*T2^16 + 66*T1^10*T2^16 - 108*T1^11*T2^16 + 
     126*T1^12*T2^16 - 108*T1^13*T2^16 + 66*T1^14*T2^16 - 24*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 684] -> 
  {(1 - 4*T + 10*T^2 - 15*T^3 + 17*T^4 - 15*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 20*T1^2 + 30*T1^3 - 34*T1^4 + 30*T1^5 - 20*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 64*T1^2*T2 - 80*T1^3*T2 + 76*T1^4*T2 - 
     52*T1^5*T2 + 20*T1^6*T2 + 8*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 20*T2^2 + 
     64*T1*T2^2 - 128*T1^2*T2^2 + 124*T1^3*T2^2 - 78*T1^4*T2^2 + 
     4*T1^5*T2^2 + 62*T1^6*T2^2 - 96*T1^7*T2^2 + 52*T1^8*T2^2 - 
     16*T1^9*T2^2 + 30*T2^3 - 80*T1*T2^3 + 124*T1^2*T2^3 - 53*T1^3*T2^3 - 
     36*T1^4*T2^3 + 82*T1^5*T2^3 - 73*T1^6*T2^3 + 19*T1^7*T2^3 + 
     107*T1^8*T2^3 - 126*T1^9*T2^3 + 60*T1^10*T2^3 - 15*T1^11*T2^3 - 
     34*T2^4 + 76*T1*T2^4 - 78*T1^2*T2^4 - 36*T1^3*T2^4 + 136*T1^4*T2^4 - 
     96*T1^5*T2^4 + 56*T1^6*T2^4 - 4*T1^7*T2^4 - 96*T1^8*T2^4 + 
     24*T1^9*T2^4 + 122*T1^10*T2^4 - 76*T1^11*T2^4 + 34*T1^12*T2^4 + 
     30*T2^5 - 52*T1*T2^5 + 4*T1^2*T2^5 + 82*T1^3*T2^5 - 96*T1^4*T2^5 - 
     205*T1^5*T2^5 + 322*T1^6*T2^5 - 428*T1^7*T2^5 + 461*T1^8*T2^5 - 
     207*T1^9*T2^5 - 83*T1^10*T2^5 - 80*T1^11*T2^5 + 44*T1^12*T2^5 - 
     45*T1^13*T2^5 - 20*T2^6 + 20*T1*T2^6 + 62*T1^2*T2^6 - 73*T1^3*T2^6 + 
     56*T1^4*T2^6 + 322*T1^5*T2^6 - 108*T1^6*T2^6 + 26*T1^7*T2^6 + 
     172*T1^8*T2^6 - 478*T1^9*T2^6 + 536*T1^10*T2^6 + 67*T1^11*T2^6 + 
     42*T1^12*T2^6 + 20*T1^13*T2^6 + 40*T1^14*T2^6 + 8*T2^7 + 8*T1*T2^7 - 
     96*T1^2*T2^7 + 19*T1^3*T2^7 - 4*T1^4*T2^7 - 428*T1^5*T2^7 + 
     26*T1^6*T2^7 - 241*T1^7*T2^7 + 189*T1^8*T2^7 - 129*T1^9*T2^7 + 
     222*T1^10*T2^7 - 705*T1^11*T2^7 - 16*T1^12*T2^7 - 26*T1^13*T2^7 - 
     80*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 52*T1^2*T2^8 + 
     107*T1^3*T2^8 - 96*T1^4*T2^8 + 461*T1^5*T2^8 + 172*T1^6*T2^8 + 
     189*T1^7*T2^8 + 108*T1^8*T2^8 - 229*T1^9*T2^8 + 262*T1^10*T2^8 + 
     23*T1^11*T2^8 + 800*T1^12*T2^8 - 203*T1^13*T2^8 + 148*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 
     126*T1^3*T2^9 + 24*T1^4*T2^9 - 207*T1^5*T2^9 - 478*T1^6*T2^9 - 
     129*T1^7*T2^9 - 229*T1^8*T2^9 + 201*T1^9*T2^9 - 284*T1^10*T2^9 + 
     172*T1^11*T2^9 - 908*T1^12*T2^9 - 11*T1^13*T2^9 - 56*T1^14*T2^9 - 
     104*T1^15*T2^9 - 24*T1^16*T2^9 + 60*T1^3*T2^10 + 122*T1^4*T2^10 - 
     83*T1^5*T2^10 + 536*T1^6*T2^10 + 222*T1^7*T2^10 + 262*T1^8*T2^10 - 
     284*T1^9*T2^10 + 542*T1^10*T2^10 - 578*T1^11*T2^10 + 1016*T1^12*T2^10 + 
     57*T1^13*T2^10 + 102*T1^14*T2^10 + 60*T1^15*T2^10 + 60*T1^16*T2^10 - 
     15*T1^3*T2^11 - 76*T1^4*T2^11 - 80*T1^5*T2^11 + 67*T1^6*T2^11 - 
     705*T1^7*T2^11 + 23*T1^8*T2^11 + 172*T1^9*T2^11 - 578*T1^10*T2^11 + 
     689*T1^11*T2^11 - 816*T1^12*T2^11 - 98*T1^13*T2^11 - 164*T1^14*T2^11 + 
     20*T1^15*T2^11 - 90*T1^16*T2^11 + 34*T1^4*T2^12 + 44*T1^5*T2^12 + 
     42*T1^6*T2^12 - 16*T1^7*T2^12 + 800*T1^8*T2^12 - 908*T1^9*T2^12 + 
     1016*T1^10*T2^12 - 816*T1^11*T2^12 + 568*T1^12*T2^12 + 44*T1^13*T2^12 + 
     242*T1^14*T2^12 - 108*T1^15*T2^12 + 102*T1^16*T2^12 - 45*T1^5*T2^13 + 
     20*T1^6*T2^13 - 26*T1^7*T2^13 - 203*T1^8*T2^13 - 11*T1^9*T2^13 + 
     57*T1^10*T2^13 - 98*T1^11*T2^13 + 44*T1^12*T2^13 - 43*T1^13*T2^13 - 
     276*T1^14*T2^13 + 160*T1^15*T2^13 - 90*T1^16*T2^13 + 40*T1^6*T2^14 - 
     80*T1^7*T2^14 + 148*T1^8*T2^14 - 56*T1^9*T2^14 + 102*T1^10*T2^14 - 
     164*T1^11*T2^14 + 242*T1^12*T2^14 - 276*T1^13*T2^14 + 328*T1^14*T2^14 - 
     160*T1^15*T2^14 + 60*T1^16*T2^14 - 20*T1^7*T2^15 + 56*T1^8*T2^15 - 
     104*T1^9*T2^15 + 60*T1^10*T2^15 + 20*T1^11*T2^15 - 108*T1^12*T2^15 + 
     160*T1^13*T2^15 - 160*T1^14*T2^15 + 76*T1^15*T2^15 - 24*T1^16*T2^15 + 
     6*T1^8*T2^16 - 24*T1^9*T2^16 + 60*T1^10*T2^16 - 90*T1^11*T2^16 + 
     102*T1^12*T2^16 - 90*T1^13*T2^16 + 60*T1^14*T2^16 - 24*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 685] -> 
  {(2 - 8*T + 18*T^2 - 23*T^3 + 18*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 60*T1 - 135*T1^2 + 173*T1^3 - 135*T1^4 + 60*T1^5 - 15*T1^6 + 
     60*T2 - 212*T1*T2 + 428*T1^2*T2 - 440*T1^3*T2 + 216*T1^4*T2 + 
     12*T1^5*T2 - 52*T1^6*T2 + 28*T1^7*T2 - 135*T2^2 + 428*T1*T2^2 - 
     686*T1^2*T2^2 + 333*T1^3*T2^2 + 398*T1^4*T2^2 - 747*T1^5*T2^2 + 
     466*T1^6*T2^2 - 148*T1^7*T2^2 + 9*T1^8*T2^2 + 173*T2^3 - 440*T1*T2^3 + 
     333*T1^2*T2^3 + 580*T1^3*T2^3 - 1411*T1^4*T2^3 + 905*T1^5*T2^3 + 
     286*T1^6*T2^3 - 711*T1^7*T2^3 + 376*T1^8*T2^3 - 103*T1^9*T2^3 - 
     135*T2^4 + 216*T1*T2^4 + 398*T1^2*T2^4 - 1411*T1^3*T2^4 + 
     1661*T1^4*T2^4 + 133*T1^5*T2^4 - 1555*T1^6*T2^4 + 1165*T1^7*T2^4 + 
     46*T1^8*T2^4 - 200*T1^9*T2^4 + 153*T1^10*T2^4 + 60*T2^5 + 12*T1*T2^5 - 
     747*T1^2*T2^5 + 905*T1^3*T2^5 + 133*T1^4*T2^5 - 3102*T1^5*T2^5 + 
     3440*T1^6*T2^5 - 1271*T1^7*T2^5 - 891*T1^8*T2^5 + 441*T1^9*T2^5 - 
     212*T1^10*T2^5 - 100*T1^11*T2^5 - 15*T2^6 - 52*T1*T2^6 + 466*T1^2*T2^6 + 
     286*T1^3*T2^6 - 1555*T1^4*T2^6 + 3440*T1^5*T2^6 - 960*T1^6*T2^6 - 
     2376*T1^7*T2^6 + 3357*T1^8*T2^6 - 842*T1^9*T2^6 + 146*T1^10*T2^6 + 
     268*T1^11*T2^6 + 33*T1^12*T2^6 + 28*T1*T2^7 - 148*T1^2*T2^7 - 
     711*T1^3*T2^7 + 1165*T1^4*T2^7 - 1271*T1^5*T2^7 - 2376*T1^6*T2^7 + 
     4166*T1^7*T2^7 - 2675*T1^8*T2^7 - 631*T1^9*T2^7 + 477*T1^10*T2^7 - 
     372*T1^11*T2^7 - 132*T1^12*T2^7 + 9*T1^2*T2^8 + 376*T1^3*T2^8 + 
     46*T1^4*T2^8 - 891*T1^5*T2^8 + 3357*T1^6*T2^8 - 2675*T1^7*T2^8 + 
     141*T1^8*T2^8 + 1685*T1^9*T2^8 - 306*T1^10*T2^8 - 40*T1^11*T2^8 + 
     297*T1^12*T2^8 - 103*T1^3*T2^9 - 200*T1^4*T2^9 + 441*T1^5*T2^9 - 
     842*T1^6*T2^9 - 631*T1^7*T2^9 + 1685*T1^8*T2^9 - 1136*T1^9*T2^9 - 
     603*T1^10*T2^9 + 616*T1^11*T2^9 - 379*T1^12*T2^9 + 153*T1^4*T2^10 - 
     212*T1^5*T2^10 + 146*T1^6*T2^10 + 477*T1^7*T2^10 - 306*T1^8*T2^10 - 
     603*T1^9*T2^10 + 1298*T1^10*T2^10 - 788*T1^11*T2^10 + 297*T1^12*T2^10 - 
     100*T1^5*T2^11 + 268*T1^6*T2^11 - 372*T1^7*T2^11 - 40*T1^8*T2^11 + 
     616*T1^9*T2^11 - 788*T1^10*T2^11 + 428*T1^11*T2^11 - 132*T1^12*T2^11 + 
     33*T1^6*T2^12 - 132*T1^7*T2^12 + 297*T1^8*T2^12 - 379*T1^9*T2^12 + 
     297*T1^10*T2^12 - 132*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 686] -> 
  {(1 - 5*T + 13*T^2 - 19*T^3 + 21*T^4 - 19*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 78*T1^2 + 114*T1^3 - 126*T1^4 + 114*T1^5 - 78*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 265*T1^2*T2 - 245*T1^3*T2 + 
     155*T1^4*T2 - 45*T1^5*T2 - 85*T1^6*T2 + 175*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 78*T2^2 + 265*T1*T2^2 - 436*T1^2*T2^2 + 98*T1^3*T2^2 + 
     100*T1^4*T2^2 - 202*T1^5*T2^2 + 308*T1^6*T2^2 - 266*T1^7*T2^2 - 
     124*T1^8*T2^2 + 135*T1^9*T2^2 - 52*T1^10*T2^2 + 114*T2^3 - 245*T1*T2^3 + 
     98*T1^2*T2^3 + 860*T1^3*T2^3 - 753*T1^4*T2^3 + 487*T1^5*T2^3 - 
     289*T1^6*T2^3 - 155*T1^7*T2^3 + 830*T1^8*T2^3 - 253*T1^9*T2^3 - 
     25*T1^10*T2^3 + 57*T1^11*T2^3 - 126*T2^4 + 155*T1*T2^4 + 100*T1^2*T2^4 - 
     753*T1^3*T2^4 - 920*T1^4*T2^4 + 1763*T1^5*T2^4 - 1956*T1^6*T2^4 + 
     2107*T1^7*T2^4 - 1900*T1^8*T2^4 - 69*T1^9*T2^4 + 242*T1^10*T2^4 - 
     75*T1^11*T2^4 - 42*T1^12*T2^4 + 114*T2^5 - 45*T1*T2^5 - 202*T1^2*T2^5 + 
     487*T1^3*T2^5 + 1763*T1^4*T2^5 - 1535*T1^5*T2^5 + 883*T1^6*T2^5 - 
     627*T1^7*T2^5 + 79*T1^8*T2^5 + 1622*T1^9*T2^5 - 321*T1^10*T2^5 - 
     109*T1^11*T2^5 + 115*T1^12*T2^5 + 19*T1^13*T2^5 - 78*T2^6 - 85*T1*T2^6 + 
     308*T1^2*T2^6 - 289*T1^3*T2^6 - 1956*T1^4*T2^6 + 883*T1^5*T2^6 - 
     411*T1^6*T2^6 + 695*T1^7*T2^6 - 427*T1^8*T2^6 - 643*T1^9*T2^6 - 
     986*T1^10*T2^6 + 439*T1^11*T2^6 - 32*T1^12*T2^6 - 95*T1^13*T2^6 + 
     30*T2^7 + 175*T1*T2^7 - 266*T1^2*T2^7 - 155*T1^3*T2^7 + 2107*T1^4*T2^7 - 
     627*T1^5*T2^7 + 695*T1^6*T2^7 - 1344*T1^7*T2^7 + 768*T1^8*T2^7 + 
     242*T1^9*T2^7 + 851*T1^10*T2^7 + 308*T1^11*T2^7 - 409*T1^12*T2^7 + 
     163*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     124*T1^2*T2^8 + 830*T1^3*T2^8 - 1900*T1^4*T2^8 + 79*T1^5*T2^8 - 
     427*T1^6*T2^8 + 768*T1^7*T2^8 + 468*T1^8*T2^8 - 1160*T1^9*T2^8 + 
     239*T1^10*T2^8 - 1103*T1^11*T2^8 + 596*T1^12*T2^8 - 30*T1^13*T2^8 - 
     94*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     135*T1^2*T2^9 - 253*T1^3*T2^9 - 69*T1^4*T2^9 + 1622*T1^5*T2^9 - 
     643*T1^6*T2^9 + 242*T1^7*T2^9 - 1160*T1^8*T2^9 + 952*T1^9*T2^9 - 
     211*T1^10*T2^9 + 835*T1^11*T2^9 - 177*T1^12*T2^9 - 323*T1^13*T2^9 + 
     176*T1^14*T2^9 - 15*T1^15*T2^9 - 10*T1^16*T2^9 - 52*T1^2*T2^10 - 
     25*T1^3*T2^10 + 242*T1^4*T2^10 - 321*T1^5*T2^10 - 986*T1^6*T2^10 + 
     851*T1^7*T2^10 + 239*T1^8*T2^10 - 211*T1^9*T2^10 + 223*T1^10*T2^10 - 
     675*T1^11*T2^10 - 16*T1^12*T2^10 + 407*T1^13*T2^10 - 98*T1^14*T2^10 - 
     35*T1^15*T2^10 + 26*T1^16*T2^10 + 57*T1^3*T2^11 - 75*T1^4*T2^11 - 
     109*T1^5*T2^11 + 439*T1^6*T2^11 + 308*T1^7*T2^11 - 1103*T1^8*T2^11 + 
     835*T1^9*T2^11 - 675*T1^10*T2^11 + 511*T1^11*T2^11 + 167*T1^12*T2^11 - 
     369*T1^13*T2^11 - 16*T1^14*T2^11 + 85*T1^15*T2^11 - 38*T1^16*T2^11 - 
     42*T1^4*T2^12 + 115*T1^5*T2^12 - 32*T1^6*T2^12 - 409*T1^7*T2^12 + 
     596*T1^8*T2^12 - 177*T1^9*T2^12 - 16*T1^10*T2^12 + 167*T1^11*T2^12 - 
     384*T1^12*T2^12 + 275*T1^13*T2^12 + 110*T1^14*T2^12 - 115*T1^15*T2^12 + 
     42*T1^16*T2^12 + 19*T1^5*T2^13 - 95*T1^6*T2^13 + 163*T1^7*T2^13 - 
     30*T1^8*T2^13 - 323*T1^9*T2^13 + 407*T1^10*T2^13 - 369*T1^11*T2^13 + 
     275*T1^12*T2^13 - 60*T1^13*T2^13 - 188*T1^14*T2^13 + 125*T1^15*T2^13 - 
     38*T1^16*T2^13 + 25*T1^7*T2^14 - 94*T1^8*T2^14 + 176*T1^9*T2^14 - 
     98*T1^10*T2^14 - 16*T1^11*T2^14 + 110*T1^12*T2^14 - 188*T1^13*T2^14 + 
     218*T1^14*T2^14 - 105*T1^15*T2^14 + 26*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 15*T1^9*T2^15 - 35*T1^10*T2^15 + 85*T1^11*T2^15 - 
     115*T1^12*T2^15 + 125*T1^13*T2^15 - 105*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 26*T1^10*T2^16 - 
     38*T1^11*T2^16 + 42*T1^12*T2^16 - 38*T1^13*T2^16 + 26*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 687] -> 
  {(2 - 10*T + 25*T^2 - 33*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-15 + 75*T1 - 188*T1^2 + 249*T1^3 - 188*T1^4 + 75*T1^5 - 15*T1^6 + 
     75*T2 - 340*T1*T2 + 765*T1^2*T2 - 805*T1^3*T2 + 355*T1^4*T2 + 
     65*T1^5*T2 - 100*T1^6*T2 + 35*T1^7*T2 - 188*T2^2 + 765*T1*T2^2 - 
     1499*T1^2*T2^2 + 968*T1^3*T2^2 + 551*T1^4*T2^2 - 1332*T1^5*T2^2 + 
     801*T1^6*T2^2 - 235*T1^7*T2^2 + 12*T1^8*T2^2 + 249*T2^3 - 805*T1*T2^3 + 
     968*T1^2*T2^3 + 1324*T1^3*T2^3 - 4065*T1^4*T2^3 + 3505*T1^5*T2^3 - 
     496*T1^6*T2^3 - 982*T1^7*T2^3 + 675*T1^8*T2^3 - 147*T1^9*T2^3 - 
     188*T2^4 + 355*T1*T2^4 + 551*T1^2*T2^4 - 4065*T1^3*T2^4 + 
     5700*T1^4*T2^4 - 732*T1^5*T2^4 - 4880*T1^6*T2^4 + 4515*T1^7*T2^4 - 
     1049*T1^8*T2^4 - 325*T1^9*T2^4 + 212*T1^10*T2^4 + 75*T2^5 + 65*T1*T2^5 - 
     1332*T1^2*T2^5 + 3505*T1^3*T2^5 - 732*T1^4*T2^5 - 9533*T1^5*T2^5 + 
     13267*T1^6*T2^5 - 5857*T1^7*T2^5 - 2045*T1^8*T2^5 + 2018*T1^9*T2^5 - 
     435*T1^10*T2^5 - 125*T1^11*T2^5 - 15*T2^6 - 100*T1*T2^6 + 
     801*T1^2*T2^6 - 496*T1^3*T2^6 - 4880*T1^4*T2^6 + 13267*T1^5*T2^6 - 
     7392*T1^6*T2^6 - 6523*T1^7*T2^6 + 11270*T1^8*T2^6 - 3788*T1^9*T2^6 - 
     99*T1^10*T2^6 + 460*T1^11*T2^6 + 33*T1^12*T2^6 + 35*T1*T2^7 - 
     235*T1^2*T2^7 - 982*T1^3*T2^7 + 4515*T1^4*T2^7 - 5857*T1^5*T2^7 - 
     6523*T1^6*T2^7 + 16277*T1^7*T2^7 - 10982*T1^8*T2^7 - 1035*T1^9*T2^7 + 
     2368*T1^10*T2^7 - 735*T1^11*T2^7 - 165*T1^12*T2^7 + 12*T1^2*T2^8 + 
     675*T1^3*T2^8 - 1049*T1^4*T2^8 - 2045*T1^5*T2^8 + 11270*T1^6*T2^8 - 
     10982*T1^7*T2^8 + 690*T1^8*T2^8 + 6535*T1^9*T2^8 - 2649*T1^10*T2^8 - 
     5*T1^11*T2^8 + 412*T1^12*T2^8 - 147*T1^3*T2^9 - 325*T1^4*T2^9 + 
     2018*T1^5*T2^9 - 3788*T1^6*T2^9 - 1035*T1^7*T2^9 + 6535*T1^8*T2^9 - 
     5608*T1^9*T2^9 + 68*T1^10*T2^9 + 1155*T1^11*T2^9 - 543*T1^12*T2^9 + 
     212*T1^4*T2^10 - 435*T1^5*T2^10 - 99*T1^6*T2^10 + 2368*T1^7*T2^10 - 
     2649*T1^8*T2^10 + 68*T1^9*T2^10 + 2201*T1^10*T2^10 - 1435*T1^11*T2^10 + 
     412*T1^12*T2^10 - 125*T1^5*T2^11 + 460*T1^6*T2^11 - 735*T1^7*T2^11 - 
     5*T1^8*T2^11 + 1155*T1^9*T2^11 - 1435*T1^10*T2^11 + 700*T1^11*T2^11 - 
     165*T1^12*T2^11 + 33*T1^6*T2^12 - 165*T1^7*T2^12 + 412*T1^8*T2^12 - 
     543*T1^9*T2^12 + 412*T1^10*T2^12 - 165*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 688] -> 
  {(1 - T - T^2 + 5*T^3 - 9*T^4 + 11*T^5 - 9*T^6 + 5*T^7 - T^8 - T^9 + T^10)/
    T^5, (-10 + 10*T1 + 10*T1^2 - 50*T1^3 + 90*T1^4 - 110*T1^5 + 90*T1^6 - 
     50*T1^7 + 10*T1^8 + 10*T1^9 - 10*T1^10 + 10*T2 - T1*T2 - 19*T1^2*T2 + 
     41*T1^3*T2 - 45*T1^4*T2 + 29*T1^5*T2 + 9*T1^6*T2 - 31*T1^7*T2 + 
     35*T1^8*T2 - 19*T1^9*T2 + T1^10*T2 + 9*T1^11*T2 + 10*T2^2 - 19*T1*T2^2 + 
     6*T1^2*T2^2 + 51*T1^3*T2^2 - 138*T1^4*T2^2 + 219*T1^5*T2^2 - 
     246*T1^6*T2^2 + 207*T1^7*T2^2 - 122*T1^8*T2^2 + 39*T1^9*T2^2 + 
     10*T1^10*T2^2 - 17*T1^11*T2^2 + 8*T1^12*T2^2 - 50*T2^3 + 41*T1*T2^3 + 
     51*T1^2*T2^3 - 250*T1^3*T2^3 + 409*T1^4*T2^3 - 430*T1^5*T2^3 + 
     230*T1^6*T2^3 + 40*T1^7*T2^3 - 264*T1^8*T2^3 + 295*T1^9*T2^3 - 
     190*T1^10*T2^3 + 34*T1^11*T2^3 + 27*T1^12*T2^3 - 35*T1^13*T2^3 + 
     90*T2^4 - 45*T1*T2^4 - 138*T1^2*T2^4 + 409*T1^3*T2^4 - 509*T1^4*T2^4 + 
     418*T1^5*T2^4 - 115*T1^6*T2^4 - 87*T1^7*T2^4 + 113*T1^8*T2^4 + 
     66*T1^9*T2^4 - 209*T1^10*T2^4 + 249*T1^11*T2^4 - 92*T1^12*T2^4 - 
     19*T1^13*T2^4 + 54*T1^14*T2^4 - 110*T2^5 + 29*T1*T2^5 + 219*T1^2*T2^5 - 
     430*T1^3*T2^5 + 418*T1^4*T2^5 - 269*T1^5*T2^5 - 10*T1^6*T2^5 + 
     107*T1^7*T2^5 - 41*T1^8*T2^5 - 56*T1^9*T2^5 + 35*T1^10*T2^5 + 
     31*T1^11*T2^5 - 172*T1^12*T2^5 + 132*T1^13*T2^5 + T1^14*T2^5 - 
     55*T1^15*T2^5 + 90*T2^6 + 9*T1*T2^6 - 246*T1^2*T2^6 + 230*T1^3*T2^6 - 
     115*T1^4*T2^6 - 10*T1^5*T2^6 + 97*T1^6*T2^6 - 9*T1^7*T2^6 - 
     171*T1^8*T2^6 + 127*T1^9*T2^6 - 35*T1^10*T2^6 - 56*T1^11*T2^6 + 
     115*T1^12*T2^6 - 14*T1^13*T2^6 - 130*T1^14*T2^6 + 19*T1^15*T2^6 + 
     36*T1^16*T2^6 - 50*T2^7 - 31*T1*T2^7 + 207*T1^2*T2^7 + 40*T1^3*T2^7 - 
     87*T1^4*T2^7 + 107*T1^5*T2^7 - 9*T1^6*T2^7 - 88*T1^7*T2^7 + 
     212*T1^8*T2^7 + 44*T1^9*T2^7 - 74*T1^10*T2^7 + 120*T1^11*T2^7 - 
     45*T1^12*T2^7 - 54*T1^13*T2^7 + 158*T1^14*T2^7 + 94*T1^15*T2^7 - 
     21*T1^16*T2^7 - 15*T1^17*T2^7 + 10*T2^8 + 35*T1*T2^8 - 122*T1^2*T2^8 - 
     264*T1^3*T2^8 + 113*T1^4*T2^8 - 41*T1^5*T2^8 - 171*T1^6*T2^8 + 
     212*T1^7*T2^8 - 287*T1^8*T2^8 - 57*T1^9*T2^8 - 79*T1^10*T2^8 + 
     24*T1^11*T2^8 - 129*T1^12*T2^8 + 101*T1^13*T2^8 - 111*T1^14*T2^8 - 
     200*T1^15*T2^8 - 48*T1^16*T2^8 + 13*T1^17*T2^8 + 2*T1^18*T2^8 + 
     10*T2^9 - 19*T1*T2^9 + 39*T1^2*T2^9 + 295*T1^3*T2^9 + 66*T1^4*T2^9 - 
     56*T1^5*T2^9 + 127*T1^6*T2^9 + 44*T1^7*T2^9 - 57*T1^8*T2^9 + 
     307*T1^9*T2^9 + 85*T1^10*T2^9 - 54*T1^11*T2^9 + 172*T1^12*T2^9 - 
     30*T1^13*T2^9 - 10*T1^14*T2^9 + 243*T1^15*T2^9 + 133*T1^16*T2^9 + 
     16*T1^17*T2^9 - 3*T1^18*T2^9 + T1^19*T2^9 - 10*T2^10 + T1*T2^10 + 
     10*T1^2*T2^10 - 190*T1^3*T2^10 - 209*T1^4*T2^10 + 35*T1^5*T2^10 - 
     35*T1^6*T2^10 - 74*T1^7*T2^10 - 79*T1^8*T2^10 + 85*T1^9*T2^10 - 
     504*T1^10*T2^10 + 267*T1^11*T2^10 - 205*T1^12*T2^10 - 58*T1^13*T2^10 + 
     85*T1^14*T2^10 - 159*T1^15*T2^10 - 203*T1^16*T2^10 - 54*T1^17*T2^10 - 
     2*T1^18*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - 17*T1^2*T2^11 + 
     34*T1^3*T2^11 + 249*T1^4*T2^11 + 31*T1^5*T2^11 - 56*T1^6*T2^11 + 
     120*T1^7*T2^11 + 24*T1^8*T2^11 - 54*T1^9*T2^11 + 267*T1^10*T2^11 + 
     45*T1^11*T2^11 - 51*T1^12*T2^11 + 152*T1^13*T2^11 - 37*T1^14*T2^11 - 
     10*T1^15*T2^11 + 208*T1^16*T2^11 + 87*T1^17*T2^11 + 11*T1^18*T2^11 - 
     T1^19*T2^11 + 8*T1^2*T2^12 + 27*T1^3*T2^12 - 92*T1^4*T2^12 - 
     172*T1^5*T2^12 + 115*T1^6*T2^12 - 45*T1^7*T2^12 - 129*T1^8*T2^12 + 
     172*T1^9*T2^12 - 205*T1^10*T2^12 - 51*T1^11*T2^12 + 3*T1^12*T2^12 - 
     16*T1^13*T2^12 - 87*T1^14*T2^12 + 97*T1^15*T2^12 - 109*T1^16*T2^12 - 
     108*T1^17*T2^12 - 18*T1^18*T2^12 + 5*T1^19*T2^12 - 35*T1^3*T2^13 - 
     19*T1^4*T2^13 + 132*T1^5*T2^13 - 14*T1^6*T2^13 - 54*T1^7*T2^13 + 
     101*T1^8*T2^13 - 30*T1^9*T2^13 - 58*T1^10*T2^13 + 152*T1^11*T2^13 - 
     16*T1^12*T2^13 - 44*T1^13*T2^13 + 99*T1^14*T2^13 - 51*T1^15*T2^13 - 
     21*T1^16*T2^13 + 104*T1^17*T2^13 + 19*T1^18*T2^13 - 9*T1^19*T2^13 + 
     54*T1^4*T2^14 + T1^5*T2^14 - 130*T1^6*T2^14 + 158*T1^7*T2^14 - 
     111*T1^8*T2^14 - 10*T1^9*T2^14 + 85*T1^10*T2^14 - 37*T1^11*T2^14 - 
     87*T1^12*T2^14 + 99*T1^13*T2^14 - 47*T1^14*T2^14 - 56*T1^15*T2^14 + 
     119*T1^16*T2^14 - 86*T1^17*T2^14 - 14*T1^18*T2^14 + 11*T1^19*T2^14 - 
     55*T1^5*T2^15 + 19*T1^6*T2^15 + 94*T1^7*T2^15 - 200*T1^8*T2^15 + 
     243*T1^9*T2^15 - 159*T1^10*T2^15 - 10*T1^11*T2^15 + 97*T1^12*T2^15 - 
     51*T1^13*T2^15 - 56*T1^14*T2^15 + 145*T1^15*T2^15 - 144*T1^16*T2^15 + 
     58*T1^17*T2^15 + 7*T1^18*T2^15 - 9*T1^19*T2^15 + 36*T1^6*T2^16 - 
     21*T1^7*T2^16 - 48*T1^8*T2^16 + 133*T1^9*T2^16 - 203*T1^10*T2^16 + 
     208*T1^11*T2^16 - 109*T1^12*T2^16 - 21*T1^13*T2^16 + 119*T1^14*T2^16 - 
     144*T1^15*T2^16 + 97*T1^16*T2^16 - 27*T1^17*T2^16 - 2*T1^18*T2^16 + 
     5*T1^19*T2^16 - 15*T1^7*T2^17 + 13*T1^8*T2^17 + 16*T1^9*T2^17 - 
     54*T1^10*T2^17 + 87*T1^11*T2^17 - 108*T1^12*T2^17 + 104*T1^13*T2^17 - 
     86*T1^14*T2^17 + 58*T1^15*T2^17 - 27*T1^16*T2^17 + 6*T1^17*T2^17 - 
     T1^18*T2^17 - T1^19*T2^17 + 2*T1^8*T2^18 - 3*T1^9*T2^18 - 
     2*T1^10*T2^18 + 11*T1^11*T2^18 - 18*T1^12*T2^18 + 19*T1^13*T2^18 - 
     14*T1^14*T2^18 + 7*T1^15*T2^18 - 2*T1^16*T2^18 - T1^17*T2^18 + 
     2*T1^18*T2^18 - T1^19*T2^18 + T1^9*T2^19 - T1^10*T2^19 - T1^11*T2^19 + 
     5*T1^12*T2^19 - 9*T1^13*T2^19 + 11*T1^14*T2^19 - 9*T1^15*T2^19 + 
     5*T1^16*T2^19 - T1^17*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, NonAlternating, 689] -> 
  {((2 - 3*T + 2*T^2)*(1 - T^2 + T^3 - T^4 + T^6))/T^4, 
   -((65 - 97*T1 - T1^2 + 164*T1^3 - 229*T1^4 + 164*T1^5 - T1^6 - 97*T1^7 + 
      65*T1^8 - 97*T2 + 60*T1*T2 + 128*T1^2*T2 - 243*T1^3*T2 + 127*T1^4*T2 + 
      55*T1^5*T2 - 213*T1^6*T2 + 146*T1^7*T2 + 30*T1^8*T2 - 85*T1^9*T2 - 
      T2^2 + 128*T1*T2^2 - 186*T1^2*T2^2 - 7*T1^3*T2^2 + 315*T1^4*T2^2 - 
      434*T1^5*T2^2 + 315*T1^6*T2^2 - 7*T1^7*T2^2 - 186*T1^8*T2^2 + 
      128*T1^9*T2^2 - T1^10*T2^2 + 164*T2^3 - 243*T1*T2^3 - 7*T1^2*T2^3 + 
      476*T1^3*T2^3 - 646*T1^4*T2^3 + 361*T1^5*T2^3 + 211*T1^6*T2^3 - 
      526*T1^7*T2^3 + 386*T1^8*T2^3 - 7*T1^9*T2^3 - 153*T1^10*T2^3 + 
      104*T1^11*T2^3 - 229*T2^4 + 127*T1*T2^4 + 315*T1^2*T2^4 - 
      646*T1^3*T2^4 + 321*T1^4*T2^4 + 287*T1^5*T2^4 - 769*T1^6*T2^4 + 
      525*T1^7*T2^4 + 57*T1^8*T2^4 - 426*T1^9*T2^4 + 225*T1^10*T2^4 + 
      19*T1^11*T2^4 - 117*T1^12*T2^4 + 164*T2^5 + 55*T1*T2^5 - 
      434*T1^2*T2^5 + 361*T1^3*T2^5 + 287*T1^4*T2^5 - 699*T1^5*T2^5 + 
      576*T1^6*T2^5 + 111*T1^7*T2^5 - 597*T1^8*T2^5 + 448*T1^9*T2^5 + 
      111*T1^10*T2^5 - 245*T1^11*T2^5 + 79*T1^12*T2^5 + 64*T1^13*T2^5 - 
      T2^6 - 213*T1*T2^6 + 315*T1^2*T2^6 + 211*T1^3*T2^6 - 769*T1^4*T2^6 + 
      576*T1^5*T2^6 + 131*T1^6*T2^6 - 675*T1^7*T2^6 + 611*T1^8*T2^6 + 
      36*T1^9*T2^6 - 469*T1^10*T2^6 + 211*T1^11*T2^6 + 135*T1^12*T2^6 - 
      93*T1^13*T2^6 - T1^14*T2^6 - 97*T2^7 + 146*T1*T2^7 - 7*T1^2*T2^7 - 
      526*T1^3*T2^7 + 525*T1^4*T2^7 + 111*T1^5*T2^7 - 675*T1^6*T2^7 + 
      549*T1^7*T2^7 - 81*T1^8*T2^7 - 500*T1^9*T2^7 + 426*T1^10*T2^7 + 
      56*T1^11*T2^7 - 246*T1^12*T2^7 - 7*T1^13*T2^7 + 20*T1^14*T2^7 - 
      13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 186*T1^2*T2^8 + 386*T1^3*T2^8 + 
      57*T1^4*T2^8 - 597*T1^5*T2^8 + 611*T1^6*T2^8 - 81*T1^7*T2^8 - 
      300*T1^8*T2^8 + 473*T1^9*T2^8 - 59*T1^10*T2^8 - 279*T1^11*T2^8 + 
      161*T1^12*T2^8 + 126*T1^13*T2^8 - 24*T1^14*T2^8 + 18*T1^15*T2^8 + 
      T1^16*T2^8 - 85*T1*T2^9 + 128*T1^2*T2^9 - 7*T1^3*T2^9 - 426*T1^4*T2^9 + 
      448*T1^5*T2^9 + 36*T1^6*T2^9 - 500*T1^7*T2^9 + 473*T1^8*T2^9 - 
      157*T1^9*T2^9 - 325*T1^10*T2^9 + 351*T1^11*T2^9 - 21*T1^12*T2^9 - 
      146*T1^13*T2^9 - 7*T1^14*T2^9 + 2*T1^15*T2^9 - T1^16*T2^9 - 
      T1^2*T2^10 - 153*T1^3*T2^10 + 225*T1^4*T2^10 + 111*T1^5*T2^10 - 
      469*T1^6*T2^10 + 426*T1^7*T2^10 - 59*T1^8*T2^10 - 325*T1^9*T2^10 + 
      421*T1^10*T2^10 - 114*T1^11*T2^10 - 169*T1^12*T2^10 + 111*T1^13*T2^10 + 
      45*T1^14*T2^10 - 33*T1^15*T2^10 - T1^16*T2^10 + 104*T1^3*T2^11 + 
      19*T1^4*T2^11 - 245*T1^5*T2^11 + 211*T1^6*T2^11 + 56*T1^7*T2^11 - 
      279*T1^8*T2^11 + 351*T1^9*T2^11 - 114*T1^10*T2^11 - 177*T1^11*T2^11 + 
      217*T1^12*T2^11 - 39*T1^13*T2^11 - 56*T1^14*T2^11 + 43*T1^15*T2^11 + 
      4*T1^16*T2^11 - 117*T1^4*T2^12 + 79*T1^5*T2^12 + 135*T1^6*T2^12 - 
      246*T1^7*T2^12 + 161*T1^8*T2^12 - 21*T1^9*T2^12 - 169*T1^10*T2^12 + 
      217*T1^11*T2^12 - 103*T1^12*T2^12 - 26*T1^13*T2^12 + 45*T1^14*T2^12 - 
      29*T1^15*T2^12 - 5*T1^16*T2^12 + 64*T1^5*T2^13 - 93*T1^6*T2^13 - 
      7*T1^7*T2^13 + 126*T1^8*T2^13 - 146*T1^9*T2^13 + 111*T1^10*T2^13 - 
      39*T1^11*T2^13 - 26*T1^12*T2^13 + 36*T1^13*T2^13 - 7*T1^14*T2^13 - 
      3*T1^15*T2^13 + 4*T1^16*T2^13 - T1^6*T2^14 + 20*T1^7*T2^14 - 
      24*T1^8*T2^14 - 7*T1^9*T2^14 + 45*T1^10*T2^14 - 56*T1^11*T2^14 + 
      45*T1^12*T2^14 - 7*T1^13*T2^14 - 24*T1^14*T2^14 + 20*T1^15*T2^14 - 
      T1^16*T2^14 - 13*T1^7*T2^15 + 18*T1^8*T2^15 + 2*T1^9*T2^15 - 
      33*T1^10*T2^15 + 43*T1^11*T2^15 - 29*T1^12*T2^15 - 3*T1^13*T2^15 + 
      20*T1^14*T2^15 - 12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - 
      T1^9*T2^16 - T1^10*T2^16 + 4*T1^11*T2^16 - 5*T1^12*T2^16 + 
      4*T1^13*T2^16 - T1^14*T2^16 - T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 690] -> 
  {(1 + 2*T - 12*T^2 + 19*T^3 - 12*T^4 + 2*T^5 + T^6)/T^3, 
   (-4 - 8*T1 + 48*T1^2 - 76*T1^3 + 48*T1^4 - 8*T1^5 - 4*T1^6 - 8*T2 - 
     2*T1*T2 + 42*T1^2*T2 - 53*T1^3*T2 + 9*T1^4*T2 + 14*T1^5*T2 - 6*T1^7*T2 + 
     48*T2^2 + 42*T1*T2^2 - 463*T1^2*T2^2 + 899*T1^3*T2^2 - 861*T1^4*T2^2 + 
     491*T1^5*T2^2 - 151*T1^6*T2^2 - 6*T1^7*T2^2 + 24*T1^8*T2^2 - 76*T2^3 - 
     53*T1*T2^3 + 899*T1^2*T2^3 - 1753*T1^3*T2^3 + 1383*T1^4*T2^3 - 
     159*T1^5*T2^3 - 391*T1^6*T2^3 + 191*T1^7*T2^3 + 37*T1^8*T2^3 - 
     19*T1^9*T2^3 + 48*T2^4 + 9*T1*T2^4 - 861*T1^2*T2^4 + 1383*T1^3*T2^4 - 
     56*T1^4*T2^4 - 2016*T1^5*T2^4 + 1860*T1^6*T2^4 - 517*T1^7*T2^4 - 
     133*T1^8*T2^4 - 11*T1^9*T2^4 - 8*T2^5 + 14*T1*T2^5 + 491*T1^2*T2^5 - 
     159*T1^3*T2^5 - 2016*T1^4*T2^5 + 3874*T1^5*T2^5 - 2176*T1^6*T2^5 - 
     240*T1^7*T2^5 + 667*T1^8*T2^5 - T1^9*T2^5 - 38*T1^10*T2^5 + 
     2*T1^11*T2^5 - 4*T2^6 - 151*T1^2*T2^6 - 391*T1^3*T2^6 + 1860*T1^4*T2^6 - 
     2176*T1^5*T2^6 - 432*T1^6*T2^6 + 2524*T1^7*T2^6 - 1652*T1^8*T2^6 + 
     107*T1^9*T2^6 + 97*T1^10*T2^6 + 28*T1^11*T2^6 + 2*T1^12*T2^6 - 
     6*T1*T2^7 - 6*T1^2*T2^7 + 191*T1^3*T2^7 - 517*T1^4*T2^7 - 
     240*T1^5*T2^7 + 2524*T1^6*T2^7 - 3526*T1^7*T2^7 + 1536*T1^8*T2^7 + 
     309*T1^9*T2^7 - 301*T1^10*T2^7 - 58*T1^11*T2^7 + 4*T1^12*T2^7 + 
     24*T1^2*T2^8 + 37*T1^3*T2^8 - 133*T1^4*T2^8 + 667*T1^5*T2^8 - 
     1652*T1^6*T2^8 + 1536*T1^7*T2^8 + 264*T1^8*T2^8 - 1233*T1^9*T2^8 + 
     595*T1^10*T2^8 + 17*T1^11*T2^8 - 24*T1^12*T2^8 - 19*T1^3*T2^9 - 
     11*T1^4*T2^9 - T1^5*T2^9 + 107*T1^6*T2^9 + 309*T1^7*T2^9 - 
     1233*T1^8*T2^9 + 1469*T1^9*T2^9 - 709*T1^10*T2^9 + 79*T1^11*T2^9 + 
     38*T1^12*T2^9 - 38*T1^5*T2^10 + 97*T1^6*T2^10 - 301*T1^7*T2^10 + 
     595*T1^8*T2^10 - 709*T1^9*T2^10 + 409*T1^10*T2^10 - 86*T1^11*T2^10 - 
     24*T1^12*T2^10 + 2*T1^5*T2^11 + 28*T1^6*T2^11 - 58*T1^7*T2^11 + 
     17*T1^8*T2^11 + 79*T1^9*T2^11 - 86*T1^10*T2^11 + 30*T1^11*T2^11 + 
     4*T1^12*T2^11 + 2*T1^6*T2^12 + 4*T1^7*T2^12 - 24*T1^8*T2^12 + 
     38*T1^9*T2^12 - 24*T1^10*T2^12 + 4*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 691] -> 
  {((2 - 3*T + 2*T^2)*(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6))/T^4, 
   -((65 - 97*T1 - 65*T1^2 + 388*T1^3 - 549*T1^4 + 388*T1^5 - 65*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 224*T1^2*T2 - 495*T1^3*T2 + 
      313*T1^4*T2 + 139*T1^5*T2 - 411*T1^6*T2 + 230*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 - 65*T2^2 + 224*T1*T2^2 - 170*T1^2*T2^2 - 426*T1^3*T2^2 + 
      1291*T1^4*T2^2 - 1656*T1^5*T2^2 + 1171*T1^6*T2^2 - 306*T1^7*T2^2 - 
      202*T1^8*T2^2 + 200*T1^9*T2^2 - 49*T1^10*T2^2 + 388*T2^3 - 
      495*T1*T2^3 - 426*T1^2*T2^3 + 2190*T1^3*T2^3 - 2887*T1^4*T2^3 + 
      1607*T1^5*T2^3 + 773*T1^6*T2^3 - 1963*T1^7*T2^3 + 1464*T1^8*T2^3 - 
      252*T1^9*T2^3 - 291*T1^10*T2^3 + 244*T1^11*T2^3 - 549*T2^4 + 
      313*T1*T2^4 + 1291*T1^2*T2^4 - 2887*T1^3*T2^4 + 1595*T1^4*T2^4 + 
      1759*T1^5*T2^4 - 4065*T1^6*T2^4 + 2719*T1^7*T2^4 + 91*T1^8*T2^4 - 
      1543*T1^9*T2^4 + 803*T1^10*T2^4 + 49*T1^11*T2^4 - 277*T1^12*T2^4 + 
      388*T2^5 + 139*T1*T2^5 - 1656*T1^2*T2^5 + 1607*T1^3*T2^5 + 
      1759*T1^4*T2^5 - 4895*T1^5*T2^5 + 3780*T1^6*T2^5 + 822*T1^7*T2^5 - 
      3617*T1^8*T2^5 + 2293*T1^9*T2^5 + 353*T1^10*T2^5 - 909*T1^11*T2^5 + 
      193*T1^12*T2^5 + 148*T1^13*T2^5 - 65*T2^6 - 411*T1*T2^6 + 
      1171*T1^2*T2^6 + 773*T1^3*T2^6 - 4065*T1^4*T2^6 + 3780*T1^5*T2^6 + 
      1624*T1^6*T2^6 - 5986*T1^7*T2^6 + 4708*T1^8*T2^6 + 312*T1^9*T2^6 - 
      2473*T1^10*T2^6 + 977*T1^11*T2^6 + 555*T1^12*T2^6 - 195*T1^13*T2^6 - 
      17*T1^14*T2^6 - 97*T2^7 + 230*T1*T2^7 - 306*T1^2*T2^7 - 
      1963*T1^3*T2^7 + 2719*T1^4*T2^7 + 822*T1^5*T2^7 - 5986*T1^6*T2^7 + 
      5260*T1^7*T2^7 + 112*T1^8*T2^7 - 4522*T1^9*T2^7 + 2760*T1^10*T2^7 + 
      481*T1^11*T2^7 - 1207*T1^12*T2^7 - 156*T1^13*T2^7 + 44*T1^14*T2^7 - 
      13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 202*T1^2*T2^8 + 1464*T1^3*T2^8 + 
      91*T1^4*T2^8 - 3617*T1^5*T2^8 + 4708*T1^6*T2^8 + 112*T1^7*T2^8 - 
      4620*T1^8*T2^8 + 4504*T1^9*T2^8 + 108*T1^10*T2^8 - 2123*T1^11*T2^8 + 
      883*T1^12*T2^8 + 660*T1^13*T2^8 - 8*T1^14*T2^8 + 18*T1^15*T2^8 + 
      T1^16*T2^8 - 85*T1*T2^9 + 200*T1^2*T2^9 - 252*T1^3*T2^9 - 
      1543*T1^4*T2^9 + 2293*T1^5*T2^9 + 312*T1^6*T2^9 - 4522*T1^7*T2^9 + 
      4504*T1^8*T2^9 - 644*T1^9*T2^9 - 3058*T1^10*T2^9 + 2250*T1^11*T2^9 + 
      55*T1^12*T2^9 - 787*T1^13*T2^9 - 102*T1^14*T2^9 + 14*T1^15*T2^9 - 
      T1^16*T2^9 - 49*T1^2*T2^10 - 291*T1^3*T2^10 + 803*T1^4*T2^10 + 
      353*T1^5*T2^10 - 2473*T1^6*T2^10 + 2760*T1^7*T2^10 + 108*T1^8*T2^10 - 
      3058*T1^9*T2^10 + 3192*T1^10*T2^10 - 708*T1^11*T2^10 - 
      881*T1^12*T2^10 + 557*T1^13*T2^10 + 187*T1^14*T2^10 - 75*T1^15*T2^10 - 
      T1^16*T2^10 + 244*T1^3*T2^11 + 49*T1^4*T2^11 - 909*T1^5*T2^11 + 
      977*T1^6*T2^11 + 481*T1^7*T2^11 - 2123*T1^8*T2^11 + 2250*T1^9*T2^11 - 
      708*T1^10*T2^11 - 845*T1^11*T2^11 + 1015*T1^12*T2^11 - 
      277*T1^13*T2^11 - 162*T1^14*T2^11 + 103*T1^15*T2^11 + 4*T1^16*T2^11 - 
      277*T1^4*T2^12 + 193*T1^5*T2^12 + 555*T1^6*T2^12 - 1207*T1^7*T2^12 + 
      883*T1^8*T2^12 + 55*T1^9*T2^12 - 881*T1^10*T2^12 + 1015*T1^11*T2^12 - 
      621*T1^12*T2^12 + 137*T1^13*T2^12 + 67*T1^14*T2^12 - 71*T1^15*T2^12 - 
      5*T1^16*T2^12 + 148*T1^5*T2^13 - 195*T1^6*T2^13 - 156*T1^7*T2^13 + 
      660*T1^8*T2^13 - 787*T1^9*T2^13 + 557*T1^10*T2^13 - 277*T1^11*T2^13 + 
      137*T1^12*T2^13 - 66*T1^13*T2^13 + 18*T1^14*T2^13 + 9*T1^15*T2^13 + 
      4*T1^16*T2^13 - 17*T1^6*T2^14 + 44*T1^7*T2^14 - 8*T1^8*T2^14 - 
      102*T1^9*T2^14 + 187*T1^10*T2^14 - 162*T1^11*T2^14 + 67*T1^12*T2^14 + 
      18*T1^13*T2^14 - 40*T1^14*T2^14 + 20*T1^15*T2^14 - T1^16*T2^14 - 
      13*T1^7*T2^15 + 18*T1^8*T2^15 + 14*T1^9*T2^15 - 75*T1^10*T2^15 + 
      103*T1^11*T2^15 - 71*T1^12*T2^15 + 9*T1^13*T2^15 + 20*T1^14*T2^15 - 
      12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 - T1^10*T2^16 + 
      4*T1^11*T2^16 - 5*T1^12*T2^16 + 4*T1^13*T2^16 - T1^14*T2^16 - 
      T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 692] -> 
  {((2 - 3*T + 2*T^2)*(1 - 2*T^2 + 3*T^3 - 2*T^4 + T^6))/T^4, 
   -((65 - 97*T1 - 65*T1^2 + 388*T1^3 - 549*T1^4 + 388*T1^5 - 65*T1^6 - 
      97*T1^7 + 65*T1^8 - 97*T2 + 60*T1*T2 + 224*T1^2*T2 - 495*T1^3*T2 + 
      313*T1^4*T2 + 139*T1^5*T2 - 411*T1^6*T2 + 230*T1^7*T2 + 30*T1^8*T2 - 
      85*T1^9*T2 - 65*T2^2 + 224*T1*T2^2 - 170*T1^2*T2^2 - 426*T1^3*T2^2 + 
      1294*T1^4*T2^2 - 1662*T1^5*T2^2 + 1174*T1^6*T2^2 - 306*T1^7*T2^2 - 
      202*T1^8*T2^2 + 200*T1^9*T2^2 - 49*T1^10*T2^2 + 388*T2^3 - 
      495*T1*T2^3 - 426*T1^2*T2^3 + 2184*T1^3*T2^3 - 2881*T1^4*T2^3 + 
      1607*T1^5*T2^3 + 773*T1^6*T2^3 - 1957*T1^7*T2^3 + 1458*T1^8*T2^3 - 
      252*T1^9*T2^3 - 291*T1^10*T2^3 + 244*T1^11*T2^3 - 549*T2^4 + 
      313*T1*T2^4 + 1294*T1^2*T2^4 - 2881*T1^3*T2^4 + 1589*T1^4*T2^4 + 
      1759*T1^5*T2^4 - 4071*T1^6*T2^4 + 2719*T1^7*T2^4 + 85*T1^8*T2^4 - 
      1537*T1^9*T2^4 + 806*T1^10*T2^4 + 49*T1^11*T2^4 - 277*T1^12*T2^4 + 
      388*T2^5 + 139*T1*T2^5 - 1662*T1^2*T2^5 + 1607*T1^3*T2^5 + 
      1759*T1^4*T2^5 - 4895*T1^5*T2^5 + 3786*T1^6*T2^5 + 828*T1^7*T2^5 - 
      3617*T1^8*T2^5 + 2293*T1^9*T2^5 + 353*T1^10*T2^5 - 915*T1^11*T2^5 + 
      193*T1^12*T2^5 + 148*T1^13*T2^5 - 65*T2^6 - 411*T1*T2^6 + 
      1174*T1^2*T2^6 + 773*T1^3*T2^6 - 4071*T1^4*T2^6 + 3786*T1^5*T2^6 + 
      1624*T1^6*T2^6 - 5992*T1^7*T2^6 + 4708*T1^8*T2^6 + 318*T1^9*T2^6 - 
      2479*T1^10*T2^6 + 977*T1^11*T2^6 + 558*T1^12*T2^6 - 195*T1^13*T2^6 - 
      17*T1^14*T2^6 - 97*T2^7 + 230*T1*T2^7 - 306*T1^2*T2^7 - 
      1957*T1^3*T2^7 + 2719*T1^4*T2^7 + 828*T1^5*T2^7 - 5992*T1^6*T2^7 + 
      5254*T1^7*T2^7 + 106*T1^8*T2^7 - 4528*T1^9*T2^7 + 2766*T1^10*T2^7 + 
      481*T1^11*T2^7 - 1201*T1^12*T2^7 - 156*T1^13*T2^7 + 44*T1^14*T2^7 - 
      13*T1^15*T2^7 + 65*T2^8 + 30*T1*T2^8 - 202*T1^2*T2^8 + 1458*T1^3*T2^8 + 
      85*T1^4*T2^8 - 3617*T1^5*T2^8 + 4708*T1^6*T2^8 + 106*T1^7*T2^8 - 
      4584*T1^8*T2^8 + 4498*T1^9*T2^8 + 108*T1^10*T2^8 - 2123*T1^11*T2^8 + 
      877*T1^12*T2^8 + 654*T1^13*T2^8 - 8*T1^14*T2^8 + 18*T1^15*T2^8 + 
      T1^16*T2^8 - 85*T1*T2^9 + 200*T1^2*T2^9 - 252*T1^3*T2^9 - 
      1537*T1^4*T2^9 + 2293*T1^5*T2^9 + 318*T1^6*T2^9 - 4528*T1^7*T2^9 + 
      4498*T1^8*T2^9 - 650*T1^9*T2^9 - 3064*T1^10*T2^9 + 2256*T1^11*T2^9 + 
      55*T1^12*T2^9 - 781*T1^13*T2^9 - 102*T1^14*T2^9 + 14*T1^15*T2^9 - 
      T1^16*T2^9 - 49*T1^2*T2^10 - 291*T1^3*T2^10 + 806*T1^4*T2^10 + 
      353*T1^5*T2^10 - 2479*T1^6*T2^10 + 2766*T1^7*T2^10 + 108*T1^8*T2^10 - 
      3064*T1^9*T2^10 + 3192*T1^10*T2^10 - 702*T1^11*T2^10 - 
      887*T1^12*T2^10 + 557*T1^13*T2^10 + 190*T1^14*T2^10 - 75*T1^15*T2^10 - 
      T1^16*T2^10 + 244*T1^3*T2^11 + 49*T1^4*T2^11 - 915*T1^5*T2^11 + 
      977*T1^6*T2^11 + 481*T1^7*T2^11 - 2123*T1^8*T2^11 + 2256*T1^9*T2^11 - 
      702*T1^10*T2^11 - 845*T1^11*T2^11 + 1015*T1^12*T2^11 - 
      277*T1^13*T2^11 - 168*T1^14*T2^11 + 103*T1^15*T2^11 + 4*T1^16*T2^11 - 
      277*T1^4*T2^12 + 193*T1^5*T2^12 + 558*T1^6*T2^12 - 1201*T1^7*T2^12 + 
      877*T1^8*T2^12 + 55*T1^9*T2^12 - 887*T1^10*T2^12 + 1015*T1^11*T2^12 - 
      627*T1^12*T2^12 + 143*T1^13*T2^12 + 70*T1^14*T2^12 - 71*T1^15*T2^12 - 
      5*T1^16*T2^12 + 148*T1^5*T2^13 - 195*T1^6*T2^13 - 156*T1^7*T2^13 + 
      654*T1^8*T2^13 - 781*T1^9*T2^13 + 557*T1^10*T2^13 - 277*T1^11*T2^13 + 
      143*T1^12*T2^13 - 72*T1^13*T2^13 + 18*T1^14*T2^13 + 9*T1^15*T2^13 + 
      4*T1^16*T2^13 - 17*T1^6*T2^14 + 44*T1^7*T2^14 - 8*T1^8*T2^14 - 
      102*T1^9*T2^14 + 190*T1^10*T2^14 - 168*T1^11*T2^14 + 70*T1^12*T2^14 + 
      18*T1^13*T2^14 - 40*T1^14*T2^14 + 20*T1^15*T2^14 - T1^16*T2^14 - 
      13*T1^7*T2^15 + 18*T1^8*T2^15 + 14*T1^9*T2^15 - 75*T1^10*T2^15 + 
      103*T1^11*T2^15 - 71*T1^12*T2^15 + 9*T1^13*T2^15 + 20*T1^14*T2^15 - 
      12*T1^15*T2^15 - T1^16*T2^15 + T1^8*T2^16 - T1^9*T2^16 - T1^10*T2^16 + 
      4*T1^11*T2^16 - 5*T1^12*T2^16 + 4*T1^13*T2^16 - T1^14*T2^16 - 
      T1^15*T2^16 + T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 693] -> 
  {-((1 - 4*T + 2*T^2 + 7*T^3 - 13*T^4 + 7*T^5 + 2*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 14*T1^2 - 49*T1^3 + 91*T1^4 - 49*T1^5 - 14*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 - 40*T1^2*T2 + 244*T1^3*T2 - 
      196*T1^4*T2 - 116*T1^5*T2 + 224*T1^6*T2 - 64*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 14*T2^2 - 40*T1*T2^2 + 342*T1^2*T2^2 - 245*T1^3*T2^2 - 
      503*T1^4*T2^2 + 1064*T1^5*T2^2 - 563*T1^6*T2^2 - 201*T1^7*T2^2 + 
      346*T1^8*T2^2 - 56*T1^9*T2^2 - 10*T1^10*T2^2 - 49*T2^3 + 244*T1*T2^3 - 
      245*T1^2*T2^3 - 431*T1^3*T2^3 + 1120*T1^4*T2^3 - 713*T1^5*T2^3 - 
      448*T1^6*T2^3 + 891*T1^7*T2^3 - 353*T1^8*T2^3 - 163*T1^9*T2^3 + 
      152*T1^10*T2^3 - 28*T1^11*T2^3 + 91*T2^4 - 196*T1*T2^4 - 
      503*T1^2*T2^4 + 1120*T1^3*T2^4 - 368*T1^4*T2^4 - 1523*T1^5*T2^4 + 
      2254*T1^6*T2^4 - 1255*T1^7*T2^4 - 256*T1^8*T2^4 + 700*T1^9*T2^4 - 
      383*T1^10*T2^4 - 44*T1^11*T2^4 + 39*T1^12*T2^4 - 49*T2^5 - 
      116*T1*T2^5 + 1064*T1^2*T2^5 - 713*T1^3*T2^5 - 1523*T1^4*T2^5 + 
      3247*T1^5*T2^5 - 1725*T1^6*T2^5 - 1015*T1^7*T2^5 + 2123*T1^8*T2^5 - 
      958*T1^9*T2^5 - 226*T1^10*T2^5 + 524*T1^11*T2^5 - 100*T1^12*T2^5 - 
      14*T1^13*T2^5 - 14*T2^6 + 224*T1*T2^6 - 563*T1^2*T2^6 - 448*T1^3*T2^6 + 
      2254*T1^4*T2^6 - 1725*T1^5*T2^6 - 1638*T1^6*T2^6 + 3708*T1^7*T2^6 - 
      2078*T1^8*T2^6 - 645*T1^9*T2^6 + 1262*T1^10*T2^6 - 380*T1^11*T2^6 - 
      143*T1^12*T2^6 + 64*T1^13*T2^6 - 2*T1^14*T2^6 + 28*T2^7 - 64*T1*T2^7 - 
      201*T1^2*T2^7 + 891*T1^3*T2^7 - 1255*T1^4*T2^7 - 1015*T1^5*T2^7 + 
      3708*T1^6*T2^7 - 2911*T1^7*T2^7 - 981*T1^8*T2^7 + 2579*T1^9*T2^7 - 
      985*T1^10*T2^7 - 632*T1^11*T2^7 + 356*T1^12*T2^7 - 55*T1^13*T2^7 + 
      8*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 346*T1^2*T2^8 - 353*T1^3*T2^8 - 
      256*T1^4*T2^8 + 2123*T1^5*T2^8 - 2078*T1^6*T2^8 - 981*T1^7*T2^8 + 
      3720*T1^8*T2^8 - 2211*T1^9*T2^8 - 536*T1^10*T2^8 + 1141*T1^11*T2^8 - 
      48*T1^12*T2^8 - 71*T1^13*T2^8 - 6*T1^14*T2^8 - 4*T1^15*T2^8 + 
      T1^16*T2^8 + 24*T1*T2^9 - 56*T1^2*T2^9 - 163*T1^3*T2^9 + 
      700*T1^4*T2^9 - 958*T1^5*T2^9 - 645*T1^6*T2^9 + 2579*T1^7*T2^9 - 
      2211*T1^8*T2^9 - 281*T1^9*T2^9 + 1450*T1^10*T2^9 - 615*T1^11*T2^9 - 
      335*T1^12*T2^9 + 165*T1^13*T2^9 - 17*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 10*T1^2*T2^10 + 152*T1^3*T2^10 - 383*T1^4*T2^10 - 
      226*T1^5*T2^10 + 1262*T1^6*T2^10 - 985*T1^7*T2^10 - 536*T1^8*T2^10 + 
      1450*T1^9*T2^10 - 976*T1^10*T2^10 + 95*T1^11*T2^10 + 270*T1^12*T2^10 - 
      158*T1^13*T2^10 + 37*T1^14*T2^10 - 8*T1^15*T2^10 + 2*T1^16*T2^10 - 
      28*T1^3*T2^11 - 44*T1^4*T2^11 + 524*T1^5*T2^11 - 380*T1^6*T2^11 - 
      632*T1^7*T2^11 + 1141*T1^8*T2^11 - 615*T1^9*T2^11 + 95*T1^10*T2^11 + 
      17*T1^11*T2^11 - 67*T1^12*T2^11 + 107*T1^13*T2^11 - 16*T1^14*T2^11 - 
      28*T1^15*T2^11 + 7*T1^16*T2^11 + 39*T1^4*T2^12 - 100*T1^5*T2^12 - 
      143*T1^6*T2^12 + 356*T1^7*T2^12 - 48*T1^8*T2^12 - 335*T1^9*T2^12 + 
      270*T1^10*T2^12 - 67*T1^11*T2^12 + 64*T1^12*T2^12 - 64*T1^13*T2^12 - 
      23*T1^14*T2^12 + 52*T1^15*T2^12 - 13*T1^16*T2^12 - 14*T1^5*T2^13 + 
      64*T1^6*T2^13 - 55*T1^7*T2^13 - 71*T1^8*T2^13 + 165*T1^9*T2^13 - 
      158*T1^10*T2^13 + 107*T1^11*T2^13 - 64*T1^12*T2^13 + 7*T1^13*T2^13 + 
      27*T1^14*T2^13 - 28*T1^15*T2^13 + 7*T1^16*T2^13 - 2*T1^6*T2^14 + 
      8*T1^7*T2^14 - 6*T1^8*T2^14 - 17*T1^9*T2^14 + 37*T1^10*T2^14 - 
      16*T1^11*T2^14 - 23*T1^12*T2^14 + 27*T1^13*T2^14 - 2*T1^14*T2^14 - 
      8*T1^15*T2^14 + 2*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      8*T1^10*T2^15 - 28*T1^11*T2^15 + 52*T1^12*T2^15 - 28*T1^13*T2^15 - 
      8*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 2*T1^10*T2^16 + 7*T1^11*T2^16 - 13*T1^12*T2^16 + 
      7*T1^13*T2^16 + 2*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 694] -> 
  {(1 - 4*T^2 + 9*T^3 - 11*T^4 + 9*T^5 - 4*T^6 + T^8)/T^4, 
   (-8 + 32*T1^2 - 72*T1^3 + 88*T1^4 - 72*T1^5 + 32*T1^6 - 8*T1^8 + T1^2*T2 - 
     2*T1^3*T2 + T1^4*T2 + T1^5*T2 - 2*T1^6*T2 + T1^7*T2 + 32*T2^2 + 
     T1*T2^2 - 106*T1^2*T2^2 + 276*T1^3*T2^2 - 411*T1^4*T2^2 + 
     454*T1^5*T2^2 - 355*T1^6*T2^2 + 204*T1^7*T2^2 - 66*T1^8*T2^2 + 
     T1^9*T2^2 + 24*T1^10*T2^2 - 72*T2^3 - 2*T1*T2^3 + 276*T1^2*T2^3 - 
     623*T1^3*T2^3 + 694*T1^4*T2^3 - 420*T1^5*T2^3 - 69*T1^6*T2^3 + 
     397*T1^7*T2^3 - 407*T1^8*T2^3 + 168*T1^9*T2^3 - 2*T1^10*T2^3 - 
     45*T1^11*T2^3 + 88*T2^4 + T1*T2^4 - 411*T1^2*T2^4 + 694*T1^3*T2^4 - 
     483*T1^4*T2^4 - 37*T1^5*T2^4 + 443*T1^6*T2^4 - 433*T1^7*T2^4 + 
     45*T1^8*T2^4 + 298*T1^9*T2^4 - 235*T1^10*T2^4 + T1^11*T2^4 + 
     44*T1^12*T2^4 - 72*T2^5 + T1*T2^5 + 454*T1^2*T2^5 - 420*T1^3*T2^5 - 
     37*T1^4*T2^5 + 491*T1^5*T2^5 - 444*T1^6*T2^5 + 96*T1^7*T2^5 + 
     383*T1^8*T2^5 - 388*T1^9*T2^5 + 21*T1^10*T2^5 + 238*T1^11*T2^5 + 
     T1^12*T2^5 - 27*T1^13*T2^5 + 32*T2^6 - 2*T1*T2^6 - 355*T1^2*T2^6 - 
     69*T1^3*T2^6 + 443*T1^4*T2^6 - 444*T1^5*T2^6 - 124*T1^6*T2^6 + 
     464*T1^7*T2^6 - 620*T1^8*T2^6 + 132*T1^9*T2^6 + 267*T1^10*T2^6 - 
     285*T1^11*T2^6 - 171*T1^12*T2^6 - 2*T1^13*T2^6 + 8*T1^14*T2^6 + 
     T1*T2^7 + 204*T1^2*T2^7 + 397*T1^3*T2^7 - 433*T1^4*T2^7 + 96*T1^5*T2^7 + 
     464*T1^6*T2^7 - 381*T1^7*T2^7 + 195*T1^8*T2^7 + 365*T1^9*T2^7 - 
     372*T1^10*T2^7 + 98*T1^11*T2^7 + 298*T1^12*T2^7 + 96*T1^13*T2^7 + 
     T1^14*T2^7 - 8*T2^8 - 66*T1^2*T2^8 - 407*T1^3*T2^8 + 45*T1^4*T2^8 + 
     383*T1^5*T2^8 - 620*T1^6*T2^8 + 195*T1^7*T2^8 + 60*T1^8*T2^8 - 
     363*T1^9*T2^8 + 38*T1^10*T2^8 + 221*T1^11*T2^8 - 299*T1^12*T2^8 - 
     173*T1^13*T2^8 - 34*T1^14*T2^8 + T1^2*T2^9 + 168*T1^3*T2^9 + 
     298*T1^4*T2^9 - 388*T1^5*T2^9 + 132*T1^6*T2^9 + 365*T1^7*T2^9 - 
     363*T1^8*T2^9 + 213*T1^9*T2^9 + 266*T1^10*T2^9 - 336*T1^11*T2^9 + 
     143*T1^12*T2^9 + 199*T1^13*T2^9 + 60*T1^14*T2^9 + T1^15*T2^9 + 
     24*T1^2*T2^10 - 2*T1^3*T2^10 - 235*T1^4*T2^10 + 21*T1^5*T2^10 + 
     267*T1^6*T2^10 - 372*T1^7*T2^10 + 38*T1^8*T2^10 + 266*T1^9*T2^10 - 
     458*T1^10*T2^10 + 204*T1^11*T2^10 + 91*T1^12*T2^10 - 195*T1^13*T2^10 - 
     51*T1^14*T2^10 - 2*T1^15*T2^10 - 45*T1^3*T2^11 + T1^4*T2^11 + 
     238*T1^5*T2^11 - 285*T1^6*T2^11 + 98*T1^7*T2^11 + 221*T1^8*T2^11 - 
     336*T1^9*T2^11 + 204*T1^10*T2^11 + 113*T1^11*T2^11 - 253*T1^12*T2^11 + 
     156*T1^13*T2^11 + 22*T1^14*T2^11 + T1^15*T2^11 + 44*T1^4*T2^12 + 
     T1^5*T2^12 - 171*T1^6*T2^12 + 298*T1^7*T2^12 - 299*T1^8*T2^12 + 
     143*T1^9*T2^12 + 91*T1^10*T2^12 - 253*T1^11*T2^12 + 229*T1^12*T2^12 - 
     98*T1^13*T2^12 + 5*T1^14*T2^12 + T1^15*T2^12 - 27*T1^5*T2^13 - 
     2*T1^6*T2^13 + 96*T1^7*T2^13 - 173*T1^8*T2^13 + 199*T1^9*T2^13 - 
     195*T1^10*T2^13 + 156*T1^11*T2^13 - 98*T1^12*T2^13 + 43*T1^13*T2^13 - 
     12*T1^14*T2^13 - 2*T1^15*T2^13 + 8*T1^6*T2^14 + T1^7*T2^14 - 
     34*T1^8*T2^14 + 60*T1^9*T2^14 - 51*T1^10*T2^14 + 22*T1^11*T2^14 + 
     5*T1^12*T2^14 - 12*T1^13*T2^14 + 6*T1^14*T2^14 + T1^15*T2^14 + 
     T1^9*T2^15 - 2*T1^10*T2^15 + T1^11*T2^15 + T1^12*T2^15 - 2*T1^13*T2^15 + 
     T1^14*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 695] -> 
  {(1 - 4*T + 10*T^2 - 17*T^3 + 21*T^4 - 17*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 40*T1^2 + 68*T1^3 - 84*T1^4 + 68*T1^5 - 40*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 112*T1^2*T2 - 152*T1^3*T2 + 132*T1^4*T2 - 
     20*T1^5*T2 - 44*T1^6*T2 + 56*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     40*T2^2 + 112*T1*T2^2 - 226*T1^2*T2^2 + 278*T1^3*T2^2 - 226*T1^4*T2^2 + 
     18*T1^5*T2^2 - 6*T1^6*T2^2 + 18*T1^7*T2^2 - 46*T1^8*T2^2 + 
     32*T1^9*T2^2 - 20*T1^10*T2^2 + 68*T2^3 - 152*T1*T2^3 + 278*T1^2*T2^3 - 
     267*T1^3*T2^3 + 141*T1^4*T2^3 + 159*T1^5*T2^3 + 16*T1^6*T2^3 - 
     54*T1^7*T2^3 + 91*T1^8*T2^3 - 32*T1^9*T2^3 + 12*T1^10*T2^3 + 
     17*T1^11*T2^3 - 84*T2^4 + 132*T1*T2^4 - 226*T1^2*T2^4 + 141*T1^3*T2^4 - 
     50*T1^4*T2^4 - 142*T1^5*T2^4 - 376*T1^6*T2^4 + 262*T1^7*T2^4 - 
     138*T1^8*T2^4 - 63*T1^9*T2^4 + 70*T1^10*T2^4 - 68*T1^11*T2^4 + 68*T2^5 - 
     20*T1*T2^5 + 18*T1^2*T2^5 + 159*T1^3*T2^5 - 142*T1^4*T2^5 + 
     85*T1^5*T2^5 + 677*T1^6*T2^5 - 169*T1^7*T2^5 - 95*T1^8*T2^5 + 
     229*T1^9*T2^5 - 66*T1^10*T2^5 + 6*T1^11*T2^5 + 68*T1^12*T2^5 - 
     17*T1^13*T2^5 - 40*T2^6 - 44*T1*T2^6 - 6*T1^2*T2^6 + 16*T1^3*T2^6 - 
     376*T1^4*T2^6 + 677*T1^5*T2^6 - 1117*T1^6*T2^6 - 131*T1^7*T2^6 + 
     507*T1^8*T2^6 - 363*T1^9*T2^6 + 40*T1^10*T2^6 + 36*T1^11*T2^6 - 
     74*T1^12*T2^6 - 12*T1^13*T2^6 + 20*T1^14*T2^6 + 16*T2^7 + 56*T1*T2^7 + 
     18*T1^2*T2^7 - 54*T1^3*T2^7 + 262*T1^4*T2^7 - 169*T1^5*T2^7 - 
     131*T1^6*T2^7 + 1417*T1^7*T2^7 - 1039*T1^8*T2^7 + 78*T1^9*T2^7 + 
     289*T1^10*T2^7 - 241*T1^11*T2^7 + 105*T1^12*T2^7 + 28*T1^13*T2^7 - 
     32*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 46*T1^2*T2^8 + 
     91*T1^3*T2^8 - 138*T1^4*T2^8 - 95*T1^5*T2^8 + 507*T1^6*T2^8 - 
     1039*T1^7*T2^8 + 84*T1^8*T2^8 + 951*T1^9*T2^8 - 559*T1^10*T2^8 + 
     187*T1^11*T2^8 + 86*T1^12*T2^8 - 107*T1^13*T2^8 + 50*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 32*T1^2*T2^9 - 
     32*T1^3*T2^9 - 63*T1^4*T2^9 + 229*T1^5*T2^9 - 363*T1^6*T2^9 + 
     78*T1^7*T2^9 + 951*T1^8*T2^9 - 1505*T1^9*T2^9 + 287*T1^10*T2^9 + 
     95*T1^11*T2^9 - 274*T1^12*T2^9 + 96*T1^13*T2^9 - 22*T1^14*T2^9 - 
     56*T1^15*T2^9 - 16*T1^16*T2^9 - 20*T1^2*T2^10 + 12*T1^3*T2^10 + 
     70*T1^4*T2^10 - 66*T1^5*T2^10 + 40*T1^6*T2^10 + 289*T1^7*T2^10 - 
     559*T1^8*T2^10 + 287*T1^9*T2^10 + 1065*T1^10*T2^10 - 751*T1^11*T2^10 + 
     456*T1^12*T2^10 - 46*T1^13*T2^10 + 2*T1^14*T2^10 + 44*T1^15*T2^10 + 
     40*T1^16*T2^10 + 17*T1^3*T2^11 - 68*T1^4*T2^11 + 6*T1^5*T2^11 + 
     36*T1^6*T2^11 - 241*T1^7*T2^11 + 187*T1^8*T2^11 + 95*T1^9*T2^11 - 
     751*T1^10*T2^11 + 7*T1^11*T2^11 + 130*T1^12*T2^11 - 189*T1^13*T2^11 - 
     6*T1^14*T2^11 + 20*T1^15*T2^11 - 68*T1^16*T2^11 + 68*T1^5*T2^12 - 
     74*T1^6*T2^12 + 105*T1^7*T2^12 + 86*T1^8*T2^12 - 274*T1^9*T2^12 + 
     456*T1^10*T2^12 + 130*T1^11*T2^12 - 2*T1^12*T2^12 - 99*T1^13*T2^12 + 
     222*T1^14*T2^12 - 132*T1^15*T2^12 + 84*T1^16*T2^12 - 17*T1^5*T2^13 - 
     12*T1^6*T2^13 + 28*T1^7*T2^13 - 107*T1^8*T2^13 + 96*T1^9*T2^13 - 
     46*T1^10*T2^13 - 189*T1^11*T2^13 - 99*T1^12*T2^13 + 251*T1^13*T2^13 - 
     282*T1^14*T2^13 + 152*T1^15*T2^13 - 68*T1^16*T2^13 + 20*T1^6*T2^14 - 
     32*T1^7*T2^14 + 50*T1^8*T2^14 - 22*T1^9*T2^14 + 2*T1^10*T2^14 - 
     6*T1^11*T2^14 + 222*T1^12*T2^14 - 282*T1^13*T2^14 + 230*T1^14*T2^14 - 
     112*T1^15*T2^14 + 40*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     56*T1^9*T2^15 + 44*T1^10*T2^15 + 20*T1^11*T2^15 - 132*T1^12*T2^15 + 
     152*T1^13*T2^15 - 112*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 40*T1^10*T2^16 - 68*T1^11*T2^16 + 
     84*T1^12*T2^16 - 68*T1^13*T2^16 + 40*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 696] -> 
  {-((1 - 4*T + 2*T^2 + 7*T^3 - 13*T^4 + 7*T^5 + 2*T^6 - 4*T^7 + T^8)/T^4), 
   -((-7 + 28*T1 - 14*T1^2 - 49*T1^3 + 91*T1^4 - 49*T1^5 - 14*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 - 40*T1^2*T2 + 244*T1^3*T2 - 
      196*T1^4*T2 - 116*T1^5*T2 + 224*T1^6*T2 - 64*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 14*T2^2 - 40*T1*T2^2 + 342*T1^2*T2^2 - 245*T1^3*T2^2 - 
      501*T1^4*T2^2 + 1060*T1^5*T2^2 - 561*T1^6*T2^2 - 201*T1^7*T2^2 + 
      346*T1^8*T2^2 - 56*T1^9*T2^2 - 10*T1^10*T2^2 - 49*T2^3 + 244*T1*T2^3 - 
      245*T1^2*T2^3 - 435*T1^3*T2^3 + 1124*T1^4*T2^3 - 713*T1^5*T2^3 - 
      448*T1^6*T2^3 + 895*T1^7*T2^3 - 357*T1^8*T2^3 - 163*T1^9*T2^3 + 
      152*T1^10*T2^3 - 28*T1^11*T2^3 + 91*T2^4 - 196*T1*T2^4 - 
      501*T1^2*T2^4 + 1124*T1^3*T2^4 - 372*T1^4*T2^4 - 1523*T1^5*T2^4 + 
      2250*T1^6*T2^4 - 1255*T1^7*T2^4 - 260*T1^8*T2^4 + 704*T1^9*T2^4 - 
      381*T1^10*T2^4 - 44*T1^11*T2^4 + 39*T1^12*T2^4 - 49*T2^5 - 
      116*T1*T2^5 + 1060*T1^2*T2^5 - 713*T1^3*T2^5 - 1523*T1^4*T2^5 + 
      3247*T1^5*T2^5 - 1721*T1^6*T2^5 - 1011*T1^7*T2^5 + 2123*T1^8*T2^5 - 
      958*T1^9*T2^5 - 226*T1^10*T2^5 + 520*T1^11*T2^5 - 100*T1^12*T2^5 - 
      14*T1^13*T2^5 - 14*T2^6 + 224*T1*T2^6 - 561*T1^2*T2^6 - 448*T1^3*T2^6 + 
      2250*T1^4*T2^6 - 1721*T1^5*T2^6 - 1638*T1^6*T2^6 + 3704*T1^7*T2^6 - 
      2078*T1^8*T2^6 - 641*T1^9*T2^6 + 1258*T1^10*T2^6 - 380*T1^11*T2^6 - 
      141*T1^12*T2^6 + 64*T1^13*T2^6 - 2*T1^14*T2^6 + 28*T2^7 - 64*T1*T2^7 - 
      201*T1^2*T2^7 + 895*T1^3*T2^7 - 1255*T1^4*T2^7 - 1011*T1^5*T2^7 + 
      3704*T1^6*T2^7 - 2915*T1^7*T2^7 - 985*T1^8*T2^7 + 2575*T1^9*T2^7 - 
      981*T1^10*T2^7 - 632*T1^11*T2^7 + 360*T1^12*T2^7 - 55*T1^13*T2^7 + 
      8*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 346*T1^2*T2^8 - 357*T1^3*T2^8 - 
      260*T1^4*T2^8 + 2123*T1^5*T2^8 - 2078*T1^6*T2^8 - 985*T1^7*T2^8 + 
      3744*T1^8*T2^8 - 2215*T1^9*T2^8 - 536*T1^10*T2^8 + 1141*T1^11*T2^8 - 
      52*T1^12*T2^8 - 75*T1^13*T2^8 - 6*T1^14*T2^8 - 4*T1^15*T2^8 + 
      T1^16*T2^8 + 24*T1*T2^9 - 56*T1^2*T2^9 - 163*T1^3*T2^9 + 
      704*T1^4*T2^9 - 958*T1^5*T2^9 - 641*T1^6*T2^9 + 2575*T1^7*T2^9 - 
      2215*T1^8*T2^9 - 285*T1^9*T2^9 + 1446*T1^10*T2^9 - 611*T1^11*T2^9 - 
      335*T1^12*T2^9 + 169*T1^13*T2^9 - 17*T1^14*T2^9 + 16*T1^15*T2^9 - 
      4*T1^16*T2^9 - 10*T1^2*T2^10 + 152*T1^3*T2^10 - 381*T1^4*T2^10 - 
      226*T1^5*T2^10 + 1258*T1^6*T2^10 - 981*T1^7*T2^10 - 536*T1^8*T2^10 + 
      1446*T1^9*T2^10 - 976*T1^10*T2^10 + 99*T1^11*T2^10 + 266*T1^12*T2^10 - 
      158*T1^13*T2^10 + 39*T1^14*T2^10 - 8*T1^15*T2^10 + 2*T1^16*T2^10 - 
      28*T1^3*T2^11 - 44*T1^4*T2^11 + 520*T1^5*T2^11 - 380*T1^6*T2^11 - 
      632*T1^7*T2^11 + 1141*T1^8*T2^11 - 611*T1^9*T2^11 + 99*T1^10*T2^11 + 
      17*T1^11*T2^11 - 67*T1^12*T2^11 + 107*T1^13*T2^11 - 20*T1^14*T2^11 - 
      28*T1^15*T2^11 + 7*T1^16*T2^11 + 39*T1^4*T2^12 - 100*T1^5*T2^12 - 
      141*T1^6*T2^12 + 360*T1^7*T2^12 - 52*T1^8*T2^12 - 335*T1^9*T2^12 + 
      266*T1^10*T2^12 - 67*T1^11*T2^12 + 60*T1^12*T2^12 - 60*T1^13*T2^12 - 
      21*T1^14*T2^12 + 52*T1^15*T2^12 - 13*T1^16*T2^12 - 14*T1^5*T2^13 + 
      64*T1^6*T2^13 - 55*T1^7*T2^13 - 75*T1^8*T2^13 + 169*T1^9*T2^13 - 
      158*T1^10*T2^13 + 107*T1^11*T2^13 - 60*T1^12*T2^13 + 3*T1^13*T2^13 + 
      27*T1^14*T2^13 - 28*T1^15*T2^13 + 7*T1^16*T2^13 - 2*T1^6*T2^14 + 
      8*T1^7*T2^14 - 6*T1^8*T2^14 - 17*T1^9*T2^14 + 39*T1^10*T2^14 - 
      20*T1^11*T2^14 - 21*T1^12*T2^14 + 27*T1^13*T2^14 - 2*T1^14*T2^14 - 
      8*T1^15*T2^14 + 2*T1^16*T2^14 - 4*T1^8*T2^15 + 16*T1^9*T2^15 - 
      8*T1^10*T2^15 - 28*T1^11*T2^15 + 52*T1^12*T2^15 - 28*T1^13*T2^15 - 
      8*T1^14*T2^15 + 16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 
      4*T1^9*T2^16 + 2*T1^10*T2^16 + 7*T1^11*T2^16 - 13*T1^12*T2^16 + 
      7*T1^13*T2^16 + 2*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 697] -> 
  {(1 - 4*T + 6*T^2 - T^3 - 3*T^4 - T^5 + 6*T^6 - 4*T^7 + T^8)/T^4, 
   (-6 + 24*T1 - 36*T1^2 + 6*T1^3 + 18*T1^4 + 6*T1^5 - 36*T1^6 + 24*T1^7 - 
     6*T1^8 + 24*T2 - 76*T1*T2 + 64*T1^2*T2 + 96*T1^3*T2 - 92*T1^4*T2 - 
     84*T1^5*T2 + 124*T1^6*T2 + 24*T1^7*T2 - 56*T1^8*T2 + 20*T1^9*T2 - 
     36*T2^2 + 64*T1*T2^2 + 78*T1^2*T2^2 - 344*T1^3*T2^2 + 39*T1^4*T2^2 + 
     304*T1^5*T2^2 - 69*T1^6*T2^2 - 308*T1^7*T2^2 + 138*T1^8*T2^2 + 
     16*T1^9*T2^2 - 24*T1^10*T2^2 + 6*T2^3 + 96*T1*T2^3 - 344*T1^2*T2^3 + 
     325*T1^3*T2^3 + 435*T1^4*T2^3 - 445*T1^5*T2^3 - 376*T1^6*T2^3 + 
     600*T1^7*T2^3 + 91*T1^8*T2^3 - 242*T1^9*T2^3 + 84*T1^10*T2^3 + 
     3*T1^11*T2^3 + 18*T2^4 - 92*T1*T2^4 + 39*T1^2*T2^4 + 435*T1^3*T2^4 - 
     830*T1^4*T2^4 + 28*T1^5*T2^4 + 688*T1^6*T2^4 - 80*T1^7*T2^4 - 
     758*T1^8*T2^4 + 487*T1^9*T2^4 - 65*T1^10*T2^4 - 36*T1^11*T2^4 + 
     6*T1^12*T2^4 + 6*T2^5 - 84*T1*T2^5 + 304*T1^2*T2^5 - 445*T1^3*T2^5 + 
     28*T1^4*T2^5 + 475*T1^5*T2^5 - 213*T1^6*T2^5 - 503*T1^7*T2^5 + 
     563*T1^8*T2^5 - 89*T1^9*T2^5 - 194*T1^10*T2^5 + 124*T1^11*T2^5 - 
     28*T1^12*T2^5 + T1^13*T2^5 - 36*T2^6 + 124*T1*T2^6 - 69*T1^2*T2^6 - 
     376*T1^3*T2^6 + 688*T1^4*T2^6 - 213*T1^5*T2^6 - 285*T1^6*T2^6 + 
     201*T1^7*T2^6 + 267*T1^8*T2^6 - 421*T1^9*T2^6 + 384*T1^10*T2^6 - 
     172*T1^11*T2^6 + 47*T1^12*T2^6 - 4*T1^13*T2^6 + 24*T2^7 + 24*T1*T2^7 - 
     308*T1^2*T2^7 + 600*T1^3*T2^7 - 80*T1^4*T2^7 - 503*T1^5*T2^7 + 
     201*T1^6*T2^7 + 395*T1^7*T2^7 - 545*T1^8*T2^7 + 234*T1^9*T2^7 - 
     49*T1^10*T2^7 + T1^11*T2^7 - 17*T1^12*T2^7 - 14*T1^13*T2^7 + 
     16*T1^14*T2^7 - 4*T1^15*T2^7 - 6*T2^8 - 56*T1*T2^8 + 138*T1^2*T2^8 + 
     91*T1^3*T2^8 - 758*T1^4*T2^8 + 563*T1^5*T2^8 + 267*T1^6*T2^8 - 
     545*T1^7*T2^8 + 180*T1^8*T2^8 + 317*T1^9*T2^8 - 351*T1^10*T2^8 + 
     133*T1^11*T2^8 - 22*T1^12*T2^8 + 85*T1^13*T2^8 - 54*T1^14*T2^8 + 
     8*T1^15*T2^8 + 2*T1^16*T2^8 + 20*T1*T2^9 + 16*T1^2*T2^9 - 
     242*T1^3*T2^9 + 487*T1^4*T2^9 - 89*T1^5*T2^9 - 421*T1^6*T2^9 + 
     234*T1^7*T2^9 + 317*T1^8*T2^9 - 623*T1^9*T2^9 + 267*T1^10*T2^9 + 
     33*T1^11*T2^9 - 8*T1^12*T2^9 - 130*T1^13*T2^9 + 52*T1^14*T2^9 + 
     8*T1^15*T2^9 - 8*T1^16*T2^9 - 24*T1^2*T2^10 + 84*T1^3*T2^10 - 
     65*T1^4*T2^10 - 194*T1^5*T2^10 + 384*T1^6*T2^10 - 49*T1^7*T2^10 - 
     351*T1^8*T2^10 + 267*T1^9*T2^10 + 201*T1^10*T2^10 - 257*T1^11*T2^10 + 
     80*T1^12*T2^10 + 10*T1^13*T2^10 + 51*T1^14*T2^10 - 44*T1^15*T2^10 + 
     12*T1^16*T2^10 + 3*T1^3*T2^11 - 36*T1^4*T2^11 + 124*T1^5*T2^11 - 
     172*T1^6*T2^11 + T1^7*T2^11 + 133*T1^8*T2^11 + 33*T1^9*T2^11 - 
     257*T1^10*T2^11 + 221*T1^11*T2^11 - 116*T1^12*T2^11 + 79*T1^13*T2^11 - 
     56*T1^14*T2^11 + 20*T1^15*T2^11 - 2*T1^16*T2^11 + 6*T1^4*T2^12 - 
     28*T1^5*T2^12 + 47*T1^6*T2^12 - 17*T1^7*T2^12 - 22*T1^8*T2^12 - 
     8*T1^9*T2^12 + 80*T1^10*T2^12 - 116*T1^11*T2^12 + 50*T1^12*T2^12 + 
     35*T1^13*T2^12 - 57*T1^14*T2^12 + 28*T1^15*T2^12 - 6*T1^16*T2^12 + 
     T1^5*T2^13 - 4*T1^6*T2^13 - 14*T1^7*T2^13 + 85*T1^8*T2^13 - 
     130*T1^9*T2^13 + 10*T1^10*T2^13 + 79*T1^11*T2^13 + 35*T1^12*T2^13 - 
     149*T1^13*T2^13 + 88*T1^14*T2^13 - 16*T1^15*T2^13 - 2*T1^16*T2^13 + 
     16*T1^7*T2^14 - 54*T1^8*T2^14 + 52*T1^9*T2^14 + 51*T1^10*T2^14 - 
     56*T1^11*T2^14 - 57*T1^12*T2^14 + 88*T1^13*T2^14 + 6*T1^14*T2^14 - 
     32*T1^15*T2^14 + 12*T1^16*T2^14 - 4*T1^7*T2^15 + 8*T1^8*T2^15 + 
     8*T1^9*T2^15 - 44*T1^10*T2^15 + 20*T1^11*T2^15 + 28*T1^12*T2^15 - 
     16*T1^13*T2^15 - 32*T1^14*T2^15 + 28*T1^15*T2^15 - 8*T1^16*T2^15 + 
     2*T1^8*T2^16 - 8*T1^9*T2^16 + 12*T1^10*T2^16 - 2*T1^11*T2^16 - 
     6*T1^12*T2^16 - 2*T1^13*T2^16 + 12*T1^14*T2^16 - 8*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 698] -> 
  {-((2 - 12*T + 25*T^2 - 31*T^3 + 25*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-7 + 43*T1 - 91*T1^2 + 113*T1^3 - 91*T1^4 + 43*T1^5 - 7*T1^6 + 43*T2 - 
      262*T1*T2 + 585*T1^2*T2 - 739*T1^3*T2 + 605*T1^4*T2 - 303*T1^5*T2 + 
      74*T1^6*T2 - 5*T1^7*T2 - 91*T2^2 + 585*T1*T2^2 - 1320*T1^2*T2^2 + 
      1243*T1^3*T2^2 - 346*T1^4*T2^2 - 657*T1^5*T2^2 + 980*T1^6*T2^2 - 
      615*T1^7*T2^2 + 109*T1^8*T2^2 + 113*T2^3 - 739*T1*T2^3 + 
      1243*T1^2*T2^3 + 1134*T1^3*T2^3 - 4312*T1^4*T2^3 + 5606*T1^5*T2^3 - 
      3828*T1^6*T2^3 + 793*T1^7*T2^3 + 893*T1^8*T2^3 - 259*T1^9*T2^3 - 
      91*T2^4 + 605*T1*T2^4 - 346*T1^2*T2^4 - 4312*T1^3*T2^4 + 
      6075*T1^4*T2^4 - 2711*T1^5*T2^4 - 3461*T1^6*T2^4 + 6600*T1^7*T2^4 - 
      4274*T1^8*T2^4 - 307*T1^9*T2^4 + 309*T1^10*T2^4 + 43*T2^5 - 
      303*T1*T2^5 - 657*T1^2*T2^5 + 5606*T1^3*T2^5 - 2711*T1^4*T2^5 - 
      3835*T1^5*T2^5 + 7945*T1^6*T2^5 - 4686*T1^7*T2^5 - 2324*T1^8*T2^5 + 
      5593*T1^9*T2^5 - 663*T1^10*T2^5 - 197*T1^11*T2^5 - 7*T2^6 + 
      74*T1*T2^6 + 980*T1^2*T2^6 - 3828*T1^3*T2^6 - 3461*T1^4*T2^6 + 
      7945*T1^5*T2^6 - 5400*T1^6*T2^6 - 2845*T1^7*T2^6 + 8033*T1^8*T2^6 - 
      5172*T1^9*T2^6 - 2832*T1^10*T2^6 + 938*T1^11*T2^6 + 41*T1^12*T2^6 - 
      5*T1*T2^7 - 615*T1^2*T2^7 + 793*T1^3*T2^7 + 6600*T1^4*T2^7 - 
      4686*T1^5*T2^7 - 2845*T1^6*T2^7 + 8935*T1^7*T2^7 - 6661*T1^8*T2^7 - 
      1330*T1^9*T2^7 + 7043*T1^10*T2^7 - 975*T1^11*T2^7 - 245*T1^12*T2^7 + 
      109*T1^2*T2^8 + 893*T1^3*T2^8 - 4274*T1^4*T2^8 - 2324*T1^5*T2^8 + 
      8033*T1^6*T2^8 - 6661*T1^7*T2^8 - 1503*T1^8*T2^8 + 8588*T1^9*T2^8 - 
      8202*T1^10*T2^8 - 19*T1^11*T2^8 + 509*T1^12*T2^8 - 259*T1^3*T2^9 - 
      307*T1^4*T2^9 + 5593*T1^5*T2^9 - 5172*T1^6*T2^9 - 1330*T1^7*T2^9 + 
      8588*T1^8*T2^9 - 10134*T1^9*T2^9 + 5143*T1^10*T2^9 + 1325*T1^11*T2^9 - 
      631*T1^12*T2^9 + 309*T1^4*T2^10 - 663*T1^5*T2^10 - 2832*T1^6*T2^10 + 
      7043*T1^7*T2^10 - 8202*T1^8*T2^10 + 5143*T1^9*T2^10 - 532*T1^10*T2^10 - 
      1863*T1^11*T2^10 + 509*T1^12*T2^10 - 197*T1^5*T2^11 + 938*T1^6*T2^11 - 
      975*T1^7*T2^11 - 19*T1^8*T2^11 + 1325*T1^9*T2^11 - 1863*T1^10*T2^11 + 
      1274*T1^11*T2^11 - 245*T1^12*T2^11 + 41*T1^6*T2^12 - 245*T1^7*T2^12 + 
      509*T1^8*T2^12 - 631*T1^9*T2^12 + 509*T1^10*T2^12 - 245*T1^11*T2^12 + 
      41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 699] -> 
  {-((2 - 12*T + 19*T^2 - 12*T^3 + 2*T^4)/T^2), 
   -((-7 + 43*T1 - 69*T1^2 + 43*T1^3 - 7*T1^4 + 43*T2 - 232*T1*T2 + 
      426*T1^2*T2 - 318*T1^3*T2 + 104*T1^4*T2 - 5*T1^5*T2 - 69*T2^2 + 
      426*T1*T2^2 - 1108*T1^2*T2^2 + 744*T1^3*T2^2 + 184*T1^4*T2^2 - 
      486*T1^5*T2^2 + 83*T1^6*T2^2 + 43*T2^3 - 318*T1*T2^3 + 744*T1^2*T2^3 + 
      1910*T1^3*T2^3 - 4150*T1^4*T2^3 + 2568*T1^5*T2^3 + 90*T1^6*T2^3 - 
      101*T1^7*T2^3 - 7*T2^4 + 104*T1*T2^4 + 184*T1^2*T2^4 - 4150*T1^3*T2^4 + 
      4416*T1^4*T2^4 + 554*T1^5*T2^4 - 2968*T1^6*T2^4 + 488*T1^7*T2^4 + 
      25*T1^8*T2^4 - 5*T1*T2^5 - 486*T1^2*T2^5 + 2568*T1^3*T2^5 + 
      554*T1^4*T2^5 - 5506*T1^5*T2^5 + 4392*T1^6*T2^5 - 78*T1^7*T2^5 - 
      149*T1^8*T2^5 + 83*T1^2*T2^6 + 90*T1^3*T2^6 - 2968*T1^4*T2^6 + 
      4392*T1^5*T2^6 - 1676*T1^6*T2^6 - 822*T1^7*T2^6 + 235*T1^8*T2^6 - 
      101*T1^3*T2^7 + 488*T1^4*T2^7 - 78*T1^5*T2^7 - 822*T1^6*T2^7 + 
      824*T1^7*T2^7 - 149*T1^8*T2^7 + 25*T1^4*T2^8 - 149*T1^5*T2^8 + 
      235*T1^6*T2^8 - 149*T1^7*T2^8 + 25*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 700] -> 
  {-((2 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-7 + 40*T1 - 80*T1^2 + 97*T1^3 - 80*T1^4 + 40*T1^5 - 7*T1^6 + 40*T2 - 
      224*T1*T2 + 462*T1^2*T2 - 554*T1^3*T2 + 458*T1^4*T2 - 242*T1^5*T2 + 
      62*T1^6*T2 - 4*T1^7*T2 - 80*T2^2 + 462*T1*T2^2 - 951*T1^2*T2^2 + 
      815*T1^3*T2^2 - 253*T1^4*T2^2 - 361*T1^5*T2^2 + 645*T1^6*T2^2 - 
      462*T1^7*T2^2 + 88*T1^8*T2^2 + 97*T2^3 - 554*T1*T2^3 + 815*T1^2*T2^3 + 
      871*T1^3*T2^3 - 2585*T1^4*T2^3 + 3241*T1^5*T2^3 - 2471*T1^6*T2^3 + 
      668*T1^7*T2^3 + 634*T1^8*T2^3 - 203*T1^9*T2^3 - 80*T2^4 + 458*T1*T2^4 - 
      253*T1^2*T2^4 - 2585*T1^3*T2^4 + 2884*T1^4*T2^4 - 1078*T1^5*T2^4 - 
      1624*T1^6*T2^4 + 3665*T1^7*T2^4 - 2775*T1^8*T2^4 - 290*T1^9*T2^4 + 
      256*T1^10*T2^4 + 40*T2^5 - 242*T1*T2^5 - 361*T1^2*T2^5 + 
      3241*T1^3*T2^5 - 1078*T1^4*T2^5 - 1188*T1^5*T2^5 + 2216*T1^6*T2^5 - 
      1477*T1^7*T2^5 - 1737*T1^8*T2^5 + 3902*T1^9*T2^5 - 418*T1^10*T2^5 - 
      180*T1^11*T2^5 - 7*T2^6 + 62*T1*T2^6 + 645*T1^2*T2^6 - 2471*T1^3*T2^6 - 
      1624*T1^4*T2^6 + 2216*T1^5*T2^6 - 840*T1^6*T2^6 - 1200*T1^7*T2^6 + 
      3538*T1^8*T2^6 - 2609*T1^9*T2^6 - 2411*T1^10*T2^6 + 766*T1^11*T2^6 + 
      41*T1^12*T2^6 - 4*T1*T2^7 - 462*T1^2*T2^7 + 668*T1^3*T2^7 + 
      3665*T1^4*T2^7 - 1477*T1^5*T2^7 - 1200*T1^6*T2^7 + 2204*T1^7*T2^7 - 
      1876*T1^8*T2^7 - 1313*T1^9*T2^7 + 4931*T1^10*T2^7 - 638*T1^11*T2^7 - 
      224*T1^12*T2^7 + 88*T1^2*T2^8 + 634*T1^3*T2^8 - 2775*T1^4*T2^8 - 
      1737*T1^5*T2^8 + 3538*T1^6*T2^8 - 1876*T1^7*T2^8 - 970*T1^8*T2^8 + 
      4513*T1^9*T2^8 - 5297*T1^10*T2^8 - 114*T1^11*T2^8 + 424*T1^12*T2^8 - 
      203*T1^3*T2^9 - 290*T1^4*T2^9 + 3902*T1^5*T2^9 - 2609*T1^6*T2^9 - 
      1313*T1^7*T2^9 + 4513*T1^8*T2^9 - 5951*T1^9*T2^9 + 3755*T1^10*T2^9 + 
      898*T1^11*T2^9 - 503*T1^12*T2^9 + 256*T1^4*T2^10 - 418*T1^5*T2^10 - 
      2411*T1^6*T2^10 + 4931*T1^7*T2^10 - 5297*T1^8*T2^10 + 3755*T1^9*T2^10 - 
      815*T1^10*T2^10 - 1342*T1^11*T2^10 + 424*T1^12*T2^10 - 180*T1^5*T2^11 + 
      766*T1^6*T2^11 - 638*T1^7*T2^11 - 114*T1^8*T2^11 + 898*T1^9*T2^11 - 
      1342*T1^10*T2^11 + 1052*T1^11*T2^11 - 224*T1^12*T2^11 + 41*T1^6*T2^12 - 
      224*T1^7*T2^12 + 424*T1^8*T2^12 - 503*T1^9*T2^12 + 424*T1^10*T2^12 - 
      224*T1^11*T2^12 + 41*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 701] -> 
  {-((3 - 16*T + 25*T^2 - 16*T^3 + 3*T^4)/T^2), 
   -((-18 + 100*T1 - 160*T1^2 + 100*T1^3 - 18*T1^4 + 100*T2 - 566*T1*T2 + 
      1081*T1^2*T2 - 887*T1^3*T2 + 346*T1^4*T2 - 44*T1^5*T2 - 160*T2^2 + 
      1081*T1*T2^2 - 2543*T1^2*T2^2 + 1531*T1^3*T2^2 + 757*T1^4*T2^2 - 
      1319*T1^5*T2^2 + 290*T1^6*T2^2 + 100*T2^3 - 887*T1*T2^3 + 
      1531*T1^2*T2^3 + 4386*T1^3*T2^3 - 9278*T1^4*T2^3 + 5531*T1^5*T2^3 + 
      217*T1^6*T2^3 - 332*T1^7*T2^3 - 18*T2^4 + 346*T1*T2^4 + 757*T1^2*T2^4 - 
      9278*T1^3*T2^4 + 9708*T1^4*T2^4 + 1410*T1^5*T2^4 - 6535*T1^6*T2^4 + 
      1306*T1^7*T2^4 + 90*T1^8*T2^4 - 44*T1*T2^5 - 1319*T1^2*T2^5 + 
      5531*T1^3*T2^5 + 1410*T1^4*T2^5 - 12254*T1^5*T2^5 + 9531*T1^6*T2^5 - 
      215*T1^7*T2^5 - 476*T1^8*T2^5 + 290*T1^2*T2^6 + 217*T1^3*T2^6 - 
      6535*T1^4*T2^6 + 9531*T1^5*T2^6 - 3235*T1^6*T2^6 - 2183*T1^7*T2^6 + 
      740*T1^8*T2^6 - 332*T1^3*T2^7 + 1306*T1^4*T2^7 - 215*T1^5*T2^7 - 
      2183*T1^6*T2^7 + 2218*T1^7*T2^7 - 476*T1^8*T2^7 + 90*T1^4*T2^8 - 
      476*T1^5*T2^8 + 740*T1^6*T2^8 - 476*T1^7*T2^8 + 90*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 702] -> 
  {-(((-2 + 4*T - 4*T^2 + T^3)*(-1 + 4*T - 4*T^2 + 2*T^3))/T^3), 
   -((-23 + 138*T1 - 322*T1^2 + 425*T1^3 - 322*T1^4 + 138*T1^5 - 23*T1^6 + 
      138*T2 - 738*T1*T2 + 1393*T1^2*T2 - 1291*T1^3*T2 + 269*T1^4*T2 + 
      433*T1^5*T2 - 402*T1^6*T2 + 90*T1^7*T2 - 322*T2^2 + 1393*T1*T2^2 - 
      1382*T1^2*T2^2 - 992*T1^3*T2^2 + 4058*T1^4*T2^2 - 3792*T1^5*T2^2 + 
      1530*T1^6*T2^2 + 49*T1^7*T2^2 - 98*T1^8*T2^2 + 425*T2^3 - 
      1291*T1*T2^3 - 992*T1^2*T2^3 + 6224*T1^3*T2^3 - 8968*T1^4*T2^3 + 
      3992*T1^5*T2^3 + 1442*T1^6*T2^3 - 2504*T1^7*T2^3 + 701*T1^8*T2^3 - 
      19*T1^9*T2^3 - 322*T2^4 + 269*T1*T2^4 + 4058*T1^2*T2^4 - 
      8968*T1^3*T2^4 + 6294*T1^4*T2^4 + 4972*T1^5*T2^4 - 10082*T1^6*T2^4 + 
      5832*T1^7*T2^4 - 326*T1^8*T2^4 - 643*T1^9*T2^4 + 126*T1^10*T2^4 + 
      138*T2^5 + 433*T1*T2^5 - 3792*T1^2*T2^5 + 3992*T1^3*T2^5 + 
      4972*T1^4*T2^5 - 15852*T1^5*T2^5 + 12848*T1^6*T2^5 - 516*T1^7*T2^5 - 
      5288*T1^8*T2^5 + 2872*T1^9*T2^5 - 143*T1^10*T2^5 - 102*T1^11*T2^5 - 
      23*T2^6 - 402*T1*T2^6 + 1530*T1^2*T2^6 + 1442*T1^3*T2^6 - 
      10082*T1^4*T2^6 + 12848*T1^5*T2^6 - 1608*T1^6*T2^6 - 11664*T1^7*T2^6 + 
      10046*T1^8*T2^6 - 2134*T1^9*T2^6 - 1574*T1^10*T2^6 + 462*T1^11*T2^6 + 
      25*T1^12*T2^6 + 90*T1*T2^7 + 49*T1^2*T2^7 - 2504*T1^3*T2^7 + 
      5832*T1^4*T2^7 - 516*T1^5*T2^7 - 11664*T1^6*T2^7 + 17036*T1^7*T2^7 - 
      6004*T1^8*T2^7 - 3448*T1^9*T2^7 + 4160*T1^10*T2^7 - 527*T1^11*T2^7 - 
      150*T1^12*T2^7 - 98*T1^2*T2^8 + 701*T1^3*T2^8 - 326*T1^4*T2^8 - 
      5288*T1^5*T2^8 + 10046*T1^6*T2^8 - 6004*T1^7*T2^8 - 6330*T1^8*T2^8 + 
      9512*T1^9*T2^8 - 4710*T1^10*T2^8 - 211*T1^11*T2^8 + 350*T1^12*T2^8 - 
      19*T1^3*T2^9 - 643*T1^4*T2^9 + 2872*T1^5*T2^9 - 2134*T1^6*T2^9 - 
      3448*T1^7*T2^9 + 9512*T1^8*T2^9 - 6916*T1^9*T2^9 + 1360*T1^10*T2^9 + 
      1349*T1^11*T2^9 - 463*T1^12*T2^9 + 126*T1^4*T2^10 - 143*T1^5*T2^10 - 
      1574*T1^6*T2^10 + 4160*T1^7*T2^10 - 4710*T1^8*T2^10 + 1360*T1^9*T2^10 + 
      1338*T1^10*T2^10 - 1487*T1^11*T2^10 + 350*T1^12*T2^10 - 
      102*T1^5*T2^11 + 462*T1^6*T2^11 - 527*T1^7*T2^11 - 211*T1^8*T2^11 + 
      1349*T1^9*T2^11 - 1487*T1^10*T2^11 + 798*T1^11*T2^11 - 
      150*T1^12*T2^11 + 25*T1^6*T2^12 - 150*T1^7*T2^12 + 350*T1^8*T2^12 - 
      463*T1^9*T2^12 + 350*T1^10*T2^12 - 150*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 703] -> 
  {(1 - 5*T + 11*T^2 - 13*T^3 + 13*T^4 - 13*T^5 + 11*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 66*T1^2 + 78*T1^3 - 78*T1^4 + 78*T1^5 - 66*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 205*T1^2*T2 - 115*T1^3*T2 + 65*T1^4*T2 - 
     65*T1^5*T2 + 5*T1^6*T2 + 125*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     66*T2^2 + 205*T1*T2^2 - 144*T1^2*T2^2 - 302*T1^3*T2^2 + 295*T1^4*T2^2 - 
     210*T1^5*T2^2 + 339*T1^6*T2^2 - 478*T1^7*T2^2 + 76*T1^8*T2^2 + 
     95*T1^9*T2^2 - 44*T1^10*T2^2 + 78*T2^3 - 115*T1*T2^3 - 302*T1^2*T2^3 + 
     966*T1^3*T2^3 - 368*T1^4*T2^3 + 144*T1^5*T2^3 - 350*T1^6*T2^3 + 
     250*T1^7*T2^3 + 632*T1^8*T2^3 - 401*T1^9*T2^3 + 25*T1^10*T2^3 + 
     39*T1^11*T2^3 - 78*T2^4 + 65*T1*T2^4 + 295*T1^2*T2^4 - 368*T1^3*T2^4 - 
     1101*T1^4*T2^4 + 1058*T1^5*T2^4 - 675*T1^6*T2^4 + 902*T1^7*T2^4 - 
     1517*T1^8*T2^4 + 256*T1^9*T2^4 + 217*T1^10*T2^4 - 65*T1^11*T2^4 - 
     26*T1^12*T2^4 + 78*T2^5 - 65*T1*T2^5 - 210*T1^2*T2^5 + 144*T1^3*T2^5 + 
     1058*T1^4*T2^5 - 253*T1^5*T2^5 - 130*T1^6*T2^5 - 208*T1^7*T2^5 + 
     579*T1^8*T2^5 + 655*T1^9*T2^5 - 298*T1^10*T2^5 - 93*T1^11*T2^5 + 
     65*T1^12*T2^5 + 13*T1^13*T2^5 - 66*T2^6 + 5*T1*T2^6 + 339*T1^2*T2^6 - 
     350*T1^3*T2^6 - 675*T1^4*T2^6 - 130*T1^5*T2^6 + 132*T1^6*T2^6 + 
     368*T1^7*T2^6 - 716*T1^8*T2^6 - 156*T1^9*T2^6 - 337*T1^10*T2^6 + 
     222*T1^11*T2^6 + 51*T1^12*T2^6 - 65*T1^13*T2^6 + 30*T2^7 + 125*T1*T2^7 - 
     478*T1^2*T2^7 + 250*T1^3*T2^7 + 902*T1^4*T2^7 - 208*T1^5*T2^7 + 
     368*T1^6*T2^7 - 872*T1^7*T2^7 + 840*T1^8*T2^7 + 167*T1^9*T2^7 - 
     26*T1^10*T2^7 + 317*T1^11*T2^7 - 344*T1^12*T2^7 + 83*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 76*T1^2*T2^8 + 
     632*T1^3*T2^8 - 1517*T1^4*T2^8 + 579*T1^5*T2^8 - 716*T1^6*T2^8 + 
     840*T1^7*T2^8 - 24*T1^8*T2^8 - 896*T1^9*T2^8 + 526*T1^10*T2^8 - 
     487*T1^11*T2^8 + 271*T1^12*T2^8 + 96*T1^13*T2^8 - 102*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 95*T1^2*T2^9 - 
     401*T1^3*T2^9 + 256*T1^4*T2^9 + 655*T1^5*T2^9 - 156*T1^6*T2^9 + 
     167*T1^7*T2^9 - 896*T1^8*T2^9 + 816*T1^9*T2^9 - 34*T1^10*T2^9 + 
     26*T1^11*T2^9 + 70*T1^12*T2^9 - 338*T1^13*T2^9 + 160*T1^14*T2^9 - 
     5*T1^15*T2^9 - 10*T1^16*T2^9 - 44*T1^2*T2^10 + 25*T1^3*T2^10 + 
     217*T1^4*T2^10 - 298*T1^5*T2^10 - 337*T1^6*T2^10 - 26*T1^7*T2^10 + 
     526*T1^8*T2^10 - 34*T1^9*T2^10 - 322*T1^10*T2^10 - 52*T1^11*T2^10 + 
     T1^12*T2^10 + 274*T1^13*T2^10 - 71*T1^14*T2^10 - 45*T1^15*T2^10 + 
     22*T1^16*T2^10 + 39*T1^3*T2^11 - 65*T1^4*T2^11 - 93*T1^5*T2^11 + 
     222*T1^6*T2^11 + 317*T1^7*T2^11 - 487*T1^8*T2^11 + 26*T1^9*T2^11 - 
     52*T1^10*T2^11 + 345*T1^11*T2^11 - 86*T1^12*T2^11 - 220*T1^13*T2^11 + 
     24*T1^14*T2^11 + 65*T1^15*T2^11 - 26*T1^16*T2^11 - 26*T1^4*T2^12 + 
     65*T1^5*T2^12 + 51*T1^6*T2^12 - 344*T1^7*T2^12 + 271*T1^8*T2^12 + 
     70*T1^9*T2^12 + T1^10*T2^12 - 86*T1^11*T2^12 - 145*T1^12*T2^12 + 
     280*T1^13*T2^12 - 27*T1^14*T2^12 - 65*T1^15*T2^12 + 26*T1^16*T2^12 + 
     13*T1^5*T2^13 - 65*T1^6*T2^13 + 83*T1^7*T2^13 + 96*T1^8*T2^13 - 
     338*T1^9*T2^13 + 274*T1^10*T2^13 - 220*T1^11*T2^13 + 280*T1^12*T2^13 - 
     238*T1^13*T2^13 - 16*T1^14*T2^13 + 75*T1^15*T2^13 - 26*T1^16*T2^13 + 
     25*T1^7*T2^14 - 102*T1^8*T2^14 + 160*T1^9*T2^14 - 71*T1^10*T2^14 + 
     24*T1^11*T2^14 - 27*T1^12*T2^14 - 16*T1^13*T2^14 + 118*T1^14*T2^14 - 
     85*T1^15*T2^14 + 22*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 
     5*T1^9*T2^15 - 45*T1^10*T2^15 + 65*T1^11*T2^15 - 65*T1^12*T2^15 + 
     75*T1^13*T2^15 - 85*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 
     2*T1^8*T2^16 - 10*T1^9*T2^16 + 22*T1^10*T2^16 - 26*T1^11*T2^16 + 
     26*T1^12*T2^16 - 26*T1^13*T2^16 + 22*T1^14*T2^16 - 10*T1^15*T2^16 + 
     2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 704] -> {(4 - 15*T + 23*T^2 - 15*T^3 + 4*T^4)/T^2, 
   (-104 + 389*T1 - 594*T1^2 + 389*T1^3 - 104*T1^4 + 389*T2 - 1310*T1*T2 + 
     1667*T1^2*T2 - 613*T1^3*T2 - 170*T1^4*T2 + 149*T1^5*T2 - 594*T2^2 + 
     1667*T1*T2^2 - 1110*T1^2*T2^2 - 1550*T1^3*T2^2 + 2386*T1^4*T2^2 - 
     1093*T1^5*T2^2 + 142*T1^6*T2^2 + 389*T2^3 - 613*T1*T2^3 - 
     1550*T1^2*T2^3 + 5043*T1^3*T2^3 - 4647*T1^4*T2^3 + 865*T1^5*T2^3 + 
     707*T1^6*T2^3 - 331*T1^7*T2^3 - 104*T2^4 - 170*T1*T2^4 + 
     2386*T1^2*T2^4 - 4647*T1^3*T2^4 + 2352*T1^4*T2^4 + 2943*T1^5*T2^4 - 
     2892*T1^6*T2^4 + 670*T1^7*T2^4 + 152*T1^8*T2^4 + 149*T1*T2^5 - 
     1093*T1^2*T2^5 + 865*T1^3*T2^5 + 2943*T1^4*T2^5 - 6747*T1^5*T2^5 + 
     3280*T1^6*T2^5 + 227*T1^7*T2^5 - 571*T1^8*T2^5 + 142*T1^2*T2^6 + 
     707*T1^3*T2^6 - 2892*T1^4*T2^6 + 3280*T1^5*T2^6 + 604*T1^6*T2^6 - 
     2053*T1^7*T2^6 + 878*T1^8*T2^6 - 331*T1^3*T2^7 + 670*T1^4*T2^7 + 
     227*T1^5*T2^7 - 2053*T1^6*T2^7 + 1810*T1^7*T2^7 - 571*T1^8*T2^7 + 
     152*T1^4*T2^8 - 571*T1^5*T2^8 + 878*T1^6*T2^8 - 571*T1^7*T2^8 + 
     152*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 705] -> 
  {-((1 - 9*T + 26*T^2 - 37*T^3 + 26*T^4 - 9*T^5 + T^6)/T^3), 
   -((-3 + 27*T1 - 78*T1^2 + 111*T1^3 - 78*T1^4 + 27*T1^5 - 3*T1^6 + 27*T2 - 
      227*T1*T2 + 545*T1^2*T2 - 536*T1^3*T2 + 31*T1^4*T2 + 230*T1^5*T2 - 
      137*T1^6*T2 + 18*T1^7*T2 - 78*T2^2 + 545*T1*T2^2 - 548*T1^2*T2^2 - 
      1292*T1^3*T2^2 + 3634*T1^4*T2^2 - 2748*T1^5*T2^2 + 752*T1^6*T2^2 + 
      77*T1^7*T2^2 - 26*T1^8*T2^2 + 111*T2^3 - 536*T1*T2^3 - 1292*T1^2*T2^3 + 
      6485*T1^3*T2^3 - 8803*T1^4*T2^3 + 2054*T1^5*T2^3 + 2513*T1^6*T2^3 - 
      1838*T1^7*T2^3 + 229*T1^8*T2^3 - 78*T2^4 + 31*T1*T2^4 + 
      3634*T1^2*T2^4 - 8803*T1^3*T2^4 + 4664*T1^4*T2^4 + 9988*T1^5*T2^4 - 
      11384*T1^6*T2^4 + 3999*T1^7*T2^4 + 344*T1^8*T2^4 - 239*T1^9*T2^4 + 
      26*T1^10*T2^4 + 27*T2^5 + 230*T1*T2^5 - 2748*T1^2*T2^5 + 
      2054*T1^3*T2^5 + 9988*T1^4*T2^5 - 23491*T1^5*T2^5 + 12995*T1^6*T2^5 + 
      1824*T1^7*T2^5 - 4913*T1^8*T2^5 + 1438*T1^9*T2^5 - 67*T1^10*T2^5 - 
      18*T1^11*T2^5 - 3*T2^6 - 137*T1*T2^6 + 752*T1^2*T2^6 + 2513*T1^3*T2^6 - 
      11384*T1^4*T2^6 + 12995*T1^5*T2^6 + 5280*T1^6*T2^6 - 16815*T1^7*T2^6 + 
      10584*T1^8*T2^6 - 1453*T1^9*T2^6 - 656*T1^10*T2^6 + 133*T1^11*T2^6 + 
      3*T1^12*T2^6 + 18*T1*T2^7 + 77*T1^2*T2^7 - 1838*T1^3*T2^7 + 
      3999*T1^4*T2^7 + 1824*T1^5*T2^7 - 16815*T1^6*T2^7 + 19671*T1^7*T2^7 - 
      6340*T1^8*T2^7 - 2968*T1^9*T2^7 + 2348*T1^10*T2^7 - 220*T1^11*T2^7 - 
      27*T1^12*T2^7 - 26*T1^2*T2^8 + 229*T1^3*T2^8 + 344*T1^4*T2^8 - 
      4913*T1^5*T2^8 + 10584*T1^6*T2^8 - 6340*T1^7*T2^8 - 5464*T1^8*T2^8 + 
      7889*T1^9*T2^8 - 2946*T1^10*T2^8 - 41*T1^11*T2^8 + 78*T1^12*T2^8 - 
      239*T1^4*T2^9 + 1438*T1^5*T2^9 - 1453*T1^6*T2^9 - 2968*T1^7*T2^9 + 
      7889*T1^8*T2^9 - 5425*T1^9*T2^9 + 892*T1^10*T2^9 + 526*T1^11*T2^9 - 
      111*T1^12*T2^9 + 26*T1^4*T2^10 - 67*T1^5*T2^10 - 656*T1^6*T2^10 + 
      2348*T1^7*T2^10 - 2946*T1^8*T2^10 + 892*T1^9*T2^10 + 644*T1^10*T2^10 - 
      535*T1^11*T2^10 + 78*T1^12*T2^10 - 18*T1^5*T2^11 + 133*T1^6*T2^11 - 
      220*T1^7*T2^11 - 41*T1^8*T2^11 + 526*T1^9*T2^11 - 535*T1^10*T2^11 + 
      223*T1^11*T2^11 - 27*T1^12*T2^11 + 3*T1^6*T2^12 - 27*T1^7*T2^12 + 
      78*T1^8*T2^12 - 111*T1^9*T2^12 + 78*T1^10*T2^12 - 27*T1^11*T2^12 + 
      3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 706] -> {(1 - 2*T + T^2 - 2*T^3 + T^4)^2/T^4, 
   (4*(1 - 2*T1 + T1^2 - 2*T1^3 + T1^4)^2*(1 + T1*T2)*(1 - T1*T2 + T1^2*T2^2)*
     (1 - 2*T2 + T2^2 - 2*T2^3 + T2^4)^2*(1 - 2*T1*T2 + T1^2*T2^2 - 
      2*T1^3*T2^3 + T1^4*T2^4))/(T1^9*T2^8)}, 
 Knot[12, NonAlternating, 707] -> 
  {(1 - 4*T + 11*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 11*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 22*T1^2 + 34*T1^3 - 38*T1^4 + 34*T1^5 - 22*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 72*T1^2*T2 - 92*T1^3*T2 + 84*T1^4*T2 - 
     60*T1^5*T2 + 20*T1^6*T2 + 12*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 22*T2^2 + 
     72*T1*T2^2 - 171*T1^2*T2^2 + 184*T1^3*T2^2 - 126*T1^4*T2^2 + 
     47*T1^5*T2^2 + 50*T1^6*T2^2 - 102*T1^7*T2^2 + 49*T1^8*T2^2 - 
     16*T1^9*T2^2 + 34*T2^3 - 92*T1*T2^3 + 184*T1^2*T2^3 - 99*T1^3*T2^3 - 
     45*T1^4*T2^3 + 78*T1^5*T2^3 - 78*T1^6*T2^3 + 14*T1^7*T2^3 + 
     159*T1^8*T2^3 - 157*T1^9*T2^3 + 68*T1^10*T2^3 - 17*T1^11*T2^3 - 
     38*T2^4 + 84*T1*T2^4 - 126*T1^2*T2^4 - 45*T1^3*T2^4 + 224*T1^4*T2^4 - 
     84*T1^5*T2^4 + 24*T1^6*T2^4 + 16*T1^7*T2^4 - 176*T1^8*T2^4 + 
     23*T1^9*T2^4 + 166*T1^10*T2^4 - 84*T1^11*T2^4 + 38*T1^12*T2^4 + 
     34*T2^5 - 60*T1*T2^5 + 47*T1^2*T2^5 + 78*T1^3*T2^5 - 84*T1^4*T2^5 - 
     580*T1^5*T2^5 + 781*T1^6*T2^5 - 842*T1^7*T2^5 + 942*T1^8*T2^5 - 
     400*T1^9*T2^5 - 50*T1^10*T2^5 - 163*T1^11*T2^5 + 52*T1^12*T2^5 - 
     51*T1^13*T2^5 - 22*T2^6 + 20*T1*T2^6 + 50*T1^2*T2^6 - 78*T1^3*T2^6 + 
     24*T1^4*T2^6 + 781*T1^5*T2^6 - 317*T1^6*T2^6 - 17*T1^7*T2^6 + 
     151*T1^8*T2^6 - 879*T1^9*T2^6 + 834*T1^10*T2^6 + 120*T1^11*T2^6 + 
     106*T1^12*T2^6 + 28*T1^13*T2^6 + 44*T1^14*T2^6 + 8*T2^7 + 12*T1*T2^7 - 
     102*T1^2*T2^7 + 14*T1^3*T2^7 + 16*T1^4*T2^7 - 842*T1^5*T2^7 - 
     17*T1^6*T2^7 - 274*T1^7*T2^7 + 646*T1^8*T2^7 - 224*T1^9*T2^7 + 
     707*T1^10*T2^7 - 1332*T1^11*T2^7 - 9*T1^12*T2^7 - 91*T1^13*T2^7 - 
     96*T1^14*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 49*T1^2*T2^8 + 
     159*T1^3*T2^8 - 176*T1^4*T2^8 + 942*T1^5*T2^8 + 151*T1^6*T2^8 + 
     646*T1^7*T2^8 - 696*T1^8*T2^8 - 94*T1^9*T2^8 - 195*T1^10*T2^8 + 
     182*T1^11*T2^8 + 1356*T1^12*T2^8 - 279*T1^13*T2^8 + 237*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 - 
     157*T1^3*T2^9 + 23*T1^4*T2^9 - 400*T1^5*T2^9 - 879*T1^6*T2^9 - 
     224*T1^7*T2^9 - 94*T1^8*T2^9 + 826*T1^9*T2^9 - 431*T1^10*T2^9 + 
     670*T1^11*T2^9 - 1748*T1^12*T2^9 - 146*T1^14*T2^9 - 124*T1^15*T2^9 - 
     24*T1^16*T2^9 + 68*T1^3*T2^10 + 166*T1^4*T2^10 - 50*T1^5*T2^10 + 
     834*T1^6*T2^10 + 707*T1^7*T2^10 - 195*T1^8*T2^10 - 431*T1^9*T2^10 + 
     273*T1^10*T2^10 - 953*T1^11*T2^10 + 1644*T1^12*T2^10 + 148*T1^13*T2^10 + 
     222*T1^14*T2^10 + 76*T1^15*T2^10 + 66*T1^16*T2^10 - 17*T1^3*T2^11 - 
     84*T1^4*T2^11 - 163*T1^5*T2^11 + 120*T1^6*T2^11 - 1332*T1^7*T2^11 + 
     182*T1^8*T2^11 + 670*T1^9*T2^11 - 953*T1^10*T2^11 + 1704*T1^11*T2^11 - 
     1648*T1^12*T2^11 - 8*T1^13*T2^11 - 373*T1^14*T2^11 + 28*T1^15*T2^11 - 
     102*T1^16*T2^11 + 38*T1^4*T2^12 + 52*T1^5*T2^12 + 106*T1^6*T2^12 - 
     9*T1^7*T2^12 + 1356*T1^8*T2^12 - 1748*T1^9*T2^12 + 1644*T1^10*T2^12 - 
     1648*T1^11*T2^12 + 956*T1^12*T2^12 + 59*T1^13*T2^12 + 398*T1^14*T2^12 - 
     116*T1^15*T2^12 + 114*T1^16*T2^12 - 51*T1^5*T2^13 + 28*T1^6*T2^13 - 
     91*T1^7*T2^13 - 279*T1^8*T2^13 + 148*T1^10*T2^13 - 8*T1^11*T2^13 + 
     59*T1^12*T2^13 - 21*T1^13*T2^13 - 432*T1^14*T2^13 + 188*T1^15*T2^13 - 
     102*T1^16*T2^13 + 44*T1^6*T2^14 - 96*T1^7*T2^14 + 237*T1^8*T2^14 - 
     146*T1^9*T2^14 + 222*T1^10*T2^14 - 373*T1^11*T2^14 + 398*T1^12*T2^14 - 
     432*T1^13*T2^14 + 457*T1^14*T2^14 - 184*T1^15*T2^14 + 66*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 124*T1^9*T2^15 + 76*T1^10*T2^15 + 
     28*T1^11*T2^15 - 116*T1^12*T2^15 + 188*T1^13*T2^15 - 184*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     66*T1^10*T2^16 - 102*T1^11*T2^16 + 114*T1^12*T2^16 - 102*T1^13*T2^16 + 
     66*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 708] -> 
  {((1 - T + 2*T^2 - 2*T^3 + T^4)*(1 - 2*T + 2*T^2 - T^3 + T^4))/T^4, 
   (-4 + 12*T1 - 24*T1^2 + 36*T1^3 - 44*T1^4 + 36*T1^5 - 24*T1^6 + 12*T1^7 - 
     4*T1^8 + 12*T2 - 27*T1*T2 + 45*T1^2*T2 - 54*T1^3*T2 + 51*T1^4*T2 - 
     9*T1^5*T2 - 9*T1^6*T2 + 18*T1^7*T2 - 15*T1^8*T2 + 9*T1^9*T2 - 24*T2^2 + 
     45*T1*T2^2 - 76*T1^2*T2^2 + 94*T1^3*T2^2 - 104*T1^4*T2^2 + 
     42*T1^5*T2^2 - 44*T1^6*T2^2 + 22*T1^7*T2^2 - 16*T1^8*T2^2 + 
     9*T1^9*T2^2 - 12*T1^10*T2^2 + 36*T2^3 - 54*T1*T2^3 + 94*T1^2*T2^3 - 
     109*T1^3*T2^3 + 120*T1^4*T2^3 - 11*T1^5*T2^3 + 34*T1^6*T2^3 + 
     12*T1^7*T2^3 - T1^8*T2^3 + 4*T1^9*T2^3 + 9*T1^10*T2^3 + 9*T1^11*T2^3 - 
     44*T2^4 + 51*T1*T2^4 - 104*T1^2*T2^4 + 120*T1^3*T2^4 - 153*T1^4*T2^4 + 
     20*T1^5*T2^4 - 105*T1^6*T2^4 + 26*T1^7*T2^4 - 37*T1^8*T2^4 - 
     6*T1^9*T2^4 - 2*T1^10*T2^4 - 27*T1^11*T2^4 + 36*T2^5 - 9*T1*T2^5 + 
     42*T1^2*T2^5 - 11*T1^3*T2^5 + 20*T1^4*T2^5 + 132*T1^5*T2^5 + 
     48*T1^6*T2^5 + 48*T1^7*T2^5 + 6*T1^8*T2^5 + 29*T1^9*T2^5 + 
     16*T1^10*T2^5 + 15*T1^11*T2^5 + 27*T1^12*T2^5 - 9*T1^13*T2^5 - 24*T2^6 - 
     9*T1*T2^6 - 44*T1^2*T2^6 + 34*T1^3*T2^6 - 105*T1^4*T2^6 + 48*T1^5*T2^6 - 
     306*T1^6*T2^6 + 110*T1^7*T2^6 - 114*T1^8*T2^6 + 12*T1^9*T2^6 - 
     21*T1^10*T2^6 - 38*T1^11*T2^6 - 20*T1^12*T2^6 - 9*T1^13*T2^6 + 
     12*T1^14*T2^6 + 12*T2^7 + 18*T1*T2^7 + 22*T1^2*T2^7 + 12*T1^3*T2^7 + 
     26*T1^4*T2^7 + 48*T1^5*T2^7 + 110*T1^6*T2^7 + 172*T1^7*T2^7 - 
     104*T1^8*T2^7 + 101*T1^9*T2^7 - 24*T1^10*T2^7 + 29*T1^11*T2^7 + 
     48*T1^12*T2^7 + 4*T1^13*T2^7 - 9*T1^14*T2^7 - 9*T1^15*T2^7 - 4*T2^8 - 
     15*T1*T2^8 - 16*T1^2*T2^8 - T1^3*T2^8 - 37*T1^4*T2^8 + 6*T1^5*T2^8 - 
     114*T1^6*T2^8 - 104*T1^7*T2^8 - 36*T1^8*T2^8 + 88*T1^9*T2^8 - 
     84*T1^10*T2^8 + 42*T1^11*T2^8 - 57*T1^12*T2^8 - 19*T1^13*T2^8 + 
     14*T1^14*T2^8 + 15*T1^15*T2^8 + 4*T1^16*T2^8 + 9*T1*T2^9 + 9*T1^2*T2^9 + 
     4*T1^3*T2^9 - 6*T1^4*T2^9 + 29*T1^5*T2^9 + 12*T1^6*T2^9 + 
     101*T1^7*T2^9 + 88*T1^8*T2^9 - 188*T1^9*T2^9 + 92*T1^10*T2^9 - 
     60*T1^11*T2^9 + 32*T1^12*T2^9 + 30*T1^13*T2^9 - 14*T1^14*T2^9 - 
     18*T1^15*T2^9 - 12*T1^16*T2^9 - 12*T1^2*T2^10 + 9*T1^3*T2^10 - 
     2*T1^4*T2^10 + 16*T1^5*T2^10 - 21*T1^6*T2^10 - 24*T1^7*T2^10 - 
     84*T1^8*T2^10 + 92*T1^9*T2^10 + 108*T1^10*T2^10 - 60*T1^11*T2^10 + 
     63*T1^12*T2^10 - 56*T1^13*T2^10 + 22*T1^14*T2^10 + 9*T1^15*T2^10 + 
     24*T1^16*T2^10 + 9*T1^3*T2^11 - 27*T1^4*T2^11 + 15*T1^5*T2^11 - 
     38*T1^6*T2^11 + 29*T1^7*T2^11 + 42*T1^8*T2^11 - 60*T1^9*T2^11 - 
     60*T1^10*T2^11 - 84*T1^11*T2^11 + 38*T1^12*T2^11 - 11*T1^13*T2^11 - 
     12*T1^14*T2^11 + 9*T1^15*T2^11 - 36*T1^16*T2^11 + 27*T1^5*T2^12 - 
     20*T1^6*T2^12 + 48*T1^7*T2^12 - 57*T1^8*T2^12 + 32*T1^9*T2^12 + 
     63*T1^10*T2^12 + 38*T1^11*T2^12 + 59*T1^12*T2^12 - 78*T1^13*T2^12 + 
     82*T1^14*T2^12 - 51*T1^15*T2^12 + 44*T1^16*T2^12 - 9*T1^5*T2^13 - 
     9*T1^6*T2^13 + 4*T1^7*T2^13 - 19*T1^8*T2^13 + 30*T1^9*T2^13 - 
     56*T1^10*T2^13 - 11*T1^11*T2^13 - 78*T1^12*T2^13 + 89*T1^13*T2^13 - 
     86*T1^14*T2^13 + 54*T1^15*T2^13 - 36*T1^16*T2^13 + 12*T1^6*T2^14 - 
     9*T1^7*T2^14 + 14*T1^8*T2^14 - 14*T1^9*T2^14 + 22*T1^10*T2^14 - 
     12*T1^11*T2^14 + 82*T1^12*T2^14 - 86*T1^13*T2^14 + 74*T1^14*T2^14 - 
     45*T1^15*T2^14 + 24*T1^16*T2^14 - 9*T1^7*T2^15 + 15*T1^8*T2^15 - 
     18*T1^9*T2^15 + 9*T1^10*T2^15 + 9*T1^11*T2^15 - 51*T1^12*T2^15 + 
     54*T1^13*T2^15 - 45*T1^14*T2^15 + 27*T1^15*T2^15 - 12*T1^16*T2^15 + 
     4*T1^8*T2^16 - 12*T1^9*T2^16 + 24*T1^10*T2^16 - 36*T1^11*T2^16 + 
     44*T1^12*T2^16 - 36*T1^13*T2^16 + 24*T1^14*T2^16 - 12*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 709] -> 
  {(1 - 4*T + 8*T^2 - 11*T^3 + 13*T^4 - 11*T^5 + 8*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 32*T1^2 + 44*T1^3 - 52*T1^4 + 44*T1^5 - 32*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 80*T1^2*T2 - 80*T1^3*T2 + 76*T1^4*T2 - 
     20*T1^5*T2 - 4*T1^6*T2 + 32*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     32*T2^2 + 80*T1*T2^2 - 82*T1^2*T2^2 + 39*T1^3*T2^2 - 31*T1^4*T2^2 - 
     78*T1^5*T2^2 + 49*T1^6*T2^2 - 73*T1^7*T2^2 + 30*T1^8*T2^2 + 
     16*T1^9*T2^2 - 16*T1^10*T2^2 + 44*T2^3 - 80*T1*T2^3 + 39*T1^2*T2^3 + 
     21*T1^3*T2^3 + 13*T1^4*T2^3 + 137*T1^5*T2^3 - 4*T1^6*T2^3 + 
     60*T1^7*T2^3 + 33*T1^8*T2^3 - 65*T1^9*T2^3 + 20*T1^10*T2^3 + 
     11*T1^11*T2^3 - 52*T2^4 + 76*T1*T2^4 - 31*T1^2*T2^4 + 13*T1^3*T2^4 - 
     113*T1^4*T2^4 - 92*T1^5*T2^4 - 139*T1^6*T2^4 - 16*T1^7*T2^4 - 
     105*T1^8*T2^4 + 57*T1^9*T2^4 + 33*T1^10*T2^4 - 44*T1^11*T2^4 + 44*T2^5 - 
     20*T1*T2^5 - 78*T1^2*T2^5 + 137*T1^3*T2^5 - 92*T1^4*T2^5 + 
     383*T1^5*T2^5 - 7*T1^6*T2^5 + 185*T1^7*T2^5 + 63*T1^8*T2^5 + 
     9*T1^9*T2^5 - 66*T1^10*T2^5 + 18*T1^11*T2^5 + 44*T1^12*T2^5 - 
     11*T1^13*T2^5 - 32*T2^6 - 4*T1*T2^6 + 49*T1^2*T2^6 - 4*T1^3*T2^6 - 
     139*T1^4*T2^6 - 7*T1^5*T2^6 - 538*T1^6*T2^6 + 230*T1^7*T2^6 - 
     394*T1^8*T2^6 + 121*T1^9*T2^6 + 5*T1^10*T2^6 + 44*T1^11*T2^6 - 
     63*T1^12*T2^6 - 20*T1^13*T2^6 + 16*T1^14*T2^6 + 16*T2^7 + 32*T1*T2^7 - 
     73*T1^2*T2^7 + 60*T1^3*T2^7 - 16*T1^4*T2^7 + 185*T1^5*T2^7 + 
     230*T1^6*T2^7 + 207*T1^7*T2^7 + 11*T1^8*T2^7 + 155*T1^9*T2^7 - 
     135*T1^10*T2^7 - 17*T1^11*T2^7 + T1^12*T2^7 + 79*T1^13*T2^7 - 
     16*T1^14*T2^7 - 12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 + 30*T1^2*T2^8 + 
     33*T1^3*T2^8 - 105*T1^4*T2^8 + 63*T1^5*T2^8 - 394*T1^6*T2^8 + 
     11*T1^7*T2^8 - 216*T1^8*T2^8 + 69*T1^9*T2^8 - 8*T1^10*T2^8 + 
     101*T1^11*T2^8 + 23*T1^12*T2^8 - 69*T1^13*T2^8 - 34*T1^14*T2^8 + 
     32*T1^15*T2^8 + 4*T1^16*T2^8 + 12*T1*T2^9 + 16*T1^2*T2^9 - 
     65*T1^3*T2^9 + 57*T1^4*T2^9 + 9*T1^5*T2^9 + 121*T1^6*T2^9 + 
     155*T1^7*T2^9 + 69*T1^8*T2^9 - 127*T1^9*T2^9 + 80*T1^10*T2^9 - 
     199*T1^11*T2^9 + 8*T1^12*T2^9 - 2*T1^13*T2^9 + 87*T1^14*T2^9 - 
     32*T1^15*T2^9 - 16*T1^16*T2^9 - 16*T1^2*T2^10 + 20*T1^3*T2^10 + 
     33*T1^4*T2^10 - 66*T1^5*T2^10 + 5*T1^6*T2^10 - 135*T1^7*T2^10 - 
     8*T1^8*T2^10 + 80*T1^9*T2^10 + 136*T1^10*T2^10 - 7*T1^11*T2^10 + 
     149*T1^12*T2^10 - 18*T1^13*T2^10 - 79*T1^14*T2^10 + 4*T1^15*T2^10 + 
     32*T1^16*T2^10 + 11*T1^3*T2^11 - 44*T1^4*T2^11 + 18*T1^5*T2^11 + 
     44*T1^6*T2^11 - 17*T1^7*T2^11 + 101*T1^8*T2^11 - 199*T1^9*T2^11 - 
     7*T1^10*T2^11 - 219*T1^11*T2^11 + 84*T1^12*T2^11 - 159*T1^13*T2^11 + 
     114*T1^14*T2^11 + 20*T1^15*T2^11 - 44*T1^16*T2^11 + 44*T1^5*T2^12 - 
     63*T1^6*T2^12 + T1^7*T2^12 + 23*T1^8*T2^12 + 8*T1^9*T2^12 + 
     149*T1^10*T2^12 + 84*T1^11*T2^12 + 31*T1^12*T2^12 + 45*T1^13*T2^12 + 
     T1^14*T2^12 - 76*T1^15*T2^12 + 52*T1^16*T2^12 - 11*T1^5*T2^13 - 
     20*T1^6*T2^13 + 79*T1^7*T2^13 - 69*T1^8*T2^13 - 2*T1^9*T2^13 - 
     18*T1^10*T2^13 - 159*T1^11*T2^13 + 45*T1^12*T2^13 - 57*T1^13*T2^13 - 
     25*T1^14*T2^13 + 80*T1^15*T2^13 - 44*T1^16*T2^13 + 16*T1^6*T2^14 - 
     16*T1^7*T2^14 - 34*T1^8*T2^14 + 87*T1^9*T2^14 - 79*T1^10*T2^14 + 
     114*T1^11*T2^14 + T1^12*T2^14 - 25*T1^13*T2^14 + 78*T1^14*T2^14 - 
     80*T1^15*T2^14 + 32*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     32*T1^9*T2^15 + 4*T1^10*T2^15 + 20*T1^11*T2^15 - 76*T1^12*T2^15 + 
     80*T1^13*T2^15 - 80*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 32*T1^10*T2^16 - 44*T1^11*T2^16 + 
     52*T1^12*T2^16 - 44*T1^13*T2^16 + 32*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 710] -> 
  {(2 - 10*T + 22*T^2 - 27*T^3 + 22*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-31 + 156*T1 - 343*T1^2 + 421*T1^3 - 343*T1^4 + 156*T1^5 - 31*T1^6 + 
     156*T2 - 666*T1*T2 + 1133*T1^2*T2 - 825*T1^3*T2 + 155*T1^4*T2 + 
     493*T1^5*T2 - 426*T1^6*T2 + 116*T1^7*T2 - 343*T2^2 + 1133*T1*T2^2 - 
     1013*T1^2*T2^2 - 940*T1^3*T2^2 + 2203*T1^4*T2^2 - 2436*T1^5*T2^2 + 
     747*T1^6*T2^2 + 253*T1^7*T2^2 - 167*T1^8*T2^2 + 421*T2^3 - 825*T1*T2^3 - 
     940*T1^2*T2^3 + 4258*T1^3*T2^3 - 3814*T1^4*T2^3 + 1782*T1^5*T2^3 + 
     1916*T1^6*T2^3 - 1864*T1^7*T2^3 + 355*T1^8*T2^3 + 97*T1^9*T2^3 - 
     343*T2^4 + 155*T1*T2^4 + 2203*T1^2*T2^4 - 3814*T1^3*T2^4 - 
     541*T1^4*T2^4 + 3897*T1^5*T2^4 - 6201*T1^6*T2^4 + 2234*T1^7*T2^4 + 
     675*T1^8*T2^4 - 525*T1^9*T2^4 + 9*T1^10*T2^4 + 156*T2^5 + 493*T1*T2^5 - 
     2436*T1^2*T2^5 + 1782*T1^3*T2^5 + 3897*T1^4*T2^5 - 5194*T1^5*T2^5 + 
     3992*T1^6*T2^5 + 1829*T1^7*T2^5 - 2910*T1^8*T2^5 + 776*T1^9*T2^5 + 
     173*T1^10*T2^5 - 44*T1^11*T2^5 - 31*T2^6 - 426*T1*T2^6 + 747*T1^2*T2^6 + 
     1916*T1^3*T2^6 - 6201*T1^4*T2^6 + 3992*T1^5*T2^6 + 168*T1^6*T2^6 - 
     4704*T1^7*T2^6 + 2887*T1^8*T2^6 + 388*T1^9*T2^6 - 789*T1^10*T2^6 + 
     134*T1^11*T2^6 + 17*T1^12*T2^6 + 116*T1*T2^7 + 253*T1^2*T2^7 - 
     1864*T1^3*T2^7 + 2234*T1^4*T2^7 + 1829*T1^5*T2^7 - 4704*T1^6*T2^7 + 
     4482*T1^7*T2^7 - 239*T1^8*T2^7 - 2458*T1^9*T2^7 + 1348*T1^10*T2^7 - 
     67*T1^11*T2^7 - 84*T1^12*T2^7 - 167*T1^2*T2^8 + 355*T1^3*T2^8 + 
     675*T1^4*T2^8 - 2910*T1^5*T2^8 + 2887*T1^6*T2^8 - 239*T1^7*T2^8 - 
     2773*T1^8*T2^8 + 3138*T1^9*T2^8 - 853*T1^10*T2^8 - 325*T1^11*T2^8 + 
     185*T1^12*T2^8 + 97*T1^3*T2^9 - 525*T1^4*T2^9 + 776*T1^5*T2^9 + 
     388*T1^6*T2^9 - 2458*T1^7*T2^9 + 3138*T1^8*T2^9 - 1954*T1^9*T2^9 - 
     148*T1^10*T2^9 + 655*T1^11*T2^9 - 227*T1^12*T2^9 + 9*T1^4*T2^10 + 
     173*T1^5*T2^10 - 789*T1^6*T2^10 + 1348*T1^7*T2^10 - 853*T1^8*T2^10 - 
     148*T1^9*T2^10 + 971*T1^10*T2^10 - 707*T1^11*T2^10 + 185*T1^12*T2^10 - 
     44*T1^5*T2^11 + 134*T1^6*T2^11 - 67*T1^7*T2^11 - 325*T1^8*T2^11 + 
     655*T1^9*T2^11 - 707*T1^10*T2^11 + 374*T1^11*T2^11 - 84*T1^12*T2^11 + 
     17*T1^6*T2^12 - 84*T1^7*T2^12 + 185*T1^8*T2^12 - 227*T1^9*T2^12 + 
     185*T1^10*T2^12 - 84*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 711] -> 
  {(1 - 5*T + 13*T^2 - 23*T^3 + 29*T^4 - 23*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 52*T1^2 + 92*T1^3 - 116*T1^4 + 92*T1^5 - 52*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 185*T1^2*T2 - 265*T1^3*T2 + 235*T1^4*T2 - 
     25*T1^5*T2 - 85*T1^6*T2 + 95*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     52*T2^2 + 185*T1*T2^2 - 324*T1^2*T2^2 + 341*T1^3*T2^2 - 108*T1^4*T2^2 - 
     392*T1^5*T2^2 + 308*T1^6*T2^2 - 127*T1^7*T2^2 - 12*T1^8*T2^2 + 
     55*T1^9*T2^2 - 26*T1^10*T2^2 + 92*T2^3 - 265*T1*T2^3 + 341*T1^2*T2^3 - 
     188*T1^3*T2^3 - 241*T1^4*T2^3 + 834*T1^5*T2^3 - 62*T1^6*T2^3 - 
     247*T1^7*T2^3 + 298*T1^8*T2^3 - 166*T1^9*T2^3 + 15*T1^10*T2^3 + 
     23*T1^11*T2^3 - 116*T2^4 + 235*T1*T2^4 - 108*T1^2*T2^4 - 241*T1^3*T2^4 + 
     686*T1^4*T2^4 - 1028*T1^5*T2^4 - 678*T1^6*T2^4 + 564*T1^7*T2^4 - 
     206*T1^8*T2^4 - 149*T1^9*T2^4 + 250*T1^10*T2^4 - 115*T1^11*T2^4 + 
     92*T2^5 - 25*T1*T2^5 - 392*T1^2*T2^5 + 834*T1^3*T2^5 - 1028*T1^4*T2^5 + 
     745*T1^5*T2^5 + 1641*T1^6*T2^5 - 317*T1^7*T2^5 - 521*T1^8*T2^5 + 
     695*T1^9*T2^5 - 382*T1^10*T2^5 - 11*T1^11*T2^5 + 115*T1^12*T2^5 - 
     23*T1^13*T2^5 - 52*T2^6 - 85*T1*T2^6 + 308*T1^2*T2^6 - 62*T1^3*T2^6 - 
     678*T1^4*T2^6 + 1641*T1^5*T2^6 - 3187*T1^6*T2^6 - 411*T1^7*T2^6 + 
     1533*T1^8*T2^6 - 845*T1^9*T2^6 + 52*T1^10*T2^6 + 354*T1^11*T2^6 - 
     224*T1^12*T2^6 - 15*T1^13*T2^6 + 26*T1^14*T2^6 + 20*T2^7 + 95*T1*T2^7 - 
     127*T1^2*T2^7 - 247*T1^3*T2^7 + 564*T1^4*T2^7 - 317*T1^5*T2^7 - 
     411*T1^6*T2^7 + 4538*T1^7*T2^7 - 3494*T1^8*T2^7 + 448*T1^9*T2^7 + 
     585*T1^10*T2^7 - 635*T1^11*T2^7 + 151*T1^12*T2^7 + 146*T1^13*T2^7 - 
     55*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 12*T1^2*T2^8 + 
     298*T1^3*T2^8 - 206*T1^4*T2^8 - 521*T1^5*T2^8 + 1533*T1^6*T2^8 - 
     3494*T1^7*T2^8 + 420*T1^8*T2^8 + 3026*T1^9*T2^8 - 1929*T1^10*T2^8 + 
     793*T1^11*T2^8 + 74*T1^12*T2^8 - 258*T1^13*T2^8 + 18*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 55*T1^2*T2^9 - 
     166*T1^3*T2^9 - 149*T1^4*T2^9 + 695*T1^5*T2^9 - 845*T1^6*T2^9 + 
     448*T1^7*T2^9 + 3026*T1^8*T2^9 - 5006*T1^9*T2^9 + 1307*T1^10*T2^9 + 
     57*T1^11*T2^9 - 504*T1^12*T2^9 + 249*T1^13*T2^9 + 107*T1^14*T2^9 - 
     95*T1^15*T2^9 - 20*T1^16*T2^9 - 26*T1^2*T2^10 + 15*T1^3*T2^10 + 
     250*T1^4*T2^10 - 382*T1^5*T2^10 + 52*T1^6*T2^10 + 585*T1^7*T2^10 - 
     1929*T1^8*T2^10 + 1307*T1^9*T2^10 + 2791*T1^10*T2^10 - 
     1901*T1^11*T2^10 + 782*T1^12*T2^10 + 34*T1^13*T2^10 - 282*T1^14*T2^10 + 
     85*T1^15*T2^10 + 52*T1^16*T2^10 + 23*T1^3*T2^11 - 115*T1^4*T2^11 - 
     11*T1^5*T2^11 + 354*T1^6*T2^11 - 635*T1^7*T2^11 + 793*T1^8*T2^11 + 
     57*T1^9*T2^11 - 1901*T1^10*T2^11 - 473*T1^11*T2^11 + 1088*T1^12*T2^11 - 
     862*T1^13*T2^11 + 370*T1^14*T2^11 + 25*T1^15*T2^11 - 92*T1^16*T2^11 + 
     115*T1^5*T2^12 - 224*T1^6*T2^12 + 151*T1^7*T2^12 + 74*T1^8*T2^12 - 
     504*T1^9*T2^12 + 782*T1^10*T2^12 + 1088*T1^11*T2^12 - 818*T1^12*T2^12 + 
     243*T1^13*T2^12 + 134*T1^14*T2^12 - 235*T1^15*T2^12 + 116*T1^16*T2^12 - 
     23*T1^5*T2^13 - 15*T1^6*T2^13 + 146*T1^7*T2^13 - 258*T1^8*T2^13 + 
     249*T1^9*T2^13 + 34*T1^10*T2^13 - 862*T1^11*T2^13 + 243*T1^12*T2^13 + 
     228*T1^13*T2^13 - 361*T1^14*T2^13 + 265*T1^15*T2^13 - 92*T1^16*T2^13 + 
     26*T1^6*T2^14 - 55*T1^7*T2^14 + 18*T1^8*T2^14 + 107*T1^9*T2^14 - 
     282*T1^10*T2^14 + 370*T1^11*T2^14 + 134*T1^12*T2^14 - 361*T1^13*T2^14 + 
     330*T1^14*T2^14 - 185*T1^15*T2^14 + 52*T1^16*T2^14 - 15*T1^7*T2^15 + 
     55*T1^8*T2^15 - 95*T1^9*T2^15 + 85*T1^10*T2^15 + 25*T1^11*T2^15 - 
     235*T1^12*T2^15 + 265*T1^13*T2^15 - 185*T1^14*T2^15 + 85*T1^15*T2^15 - 
     20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 52*T1^10*T2^16 - 
     92*T1^11*T2^16 + 116*T1^12*T2^16 - 92*T1^13*T2^16 + 52*T1^14*T2^16 - 
     20*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 712] -> 
  {(3 - 13*T + 27*T^2 - 33*T^3 + 27*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-51 + 222*T1 - 466*T1^2 + 573*T1^3 - 466*T1^4 + 222*T1^5 - 51*T1^6 + 
     222*T2 - 861*T1*T2 + 1566*T1^2*T2 - 1517*T1^3*T2 + 823*T1^4*T2 + 
     6*T1^5*T2 - 237*T1^6*T2 + 105*T1^7*T2 - 466*T2^2 + 1566*T1*T2^2 - 
     2240*T1^2*T2^2 + 992*T1^3*T2^2 + 970*T1^4*T2^2 - 2248*T1^5*T2^2 + 
     1648*T1^6*T2^2 - 540*T1^7*T2^2 + 20*T1^8*T2^2 + 573*T2^3 - 
     1517*T1*T2^3 + 992*T1^2*T2^3 + 2268*T1^3*T2^3 - 4780*T1^4*T2^3 + 
     4400*T1^5*T2^3 - 1080*T1^6*T2^3 - 1411*T1^7*T2^3 + 1291*T1^8*T2^3 - 
     318*T1^9*T2^3 - 466*T2^4 + 823*T1*T2^4 + 970*T1^2*T2^4 - 
     4780*T1^3*T2^4 + 5131*T1^4*T2^4 - 869*T1^5*T2^4 - 4253*T1^6*T2^4 + 
     5120*T1^7*T2^4 - 1436*T1^8*T2^4 - 815*T1^9*T2^4 + 506*T1^10*T2^4 + 
     222*T2^5 + 6*T1*T2^5 - 2248*T1^2*T2^5 + 4400*T1^3*T2^5 - 869*T1^4*T2^5 - 
     6159*T1^5*T2^5 + 8301*T1^6*T2^5 - 3866*T1^7*T2^5 - 3340*T1^8*T2^5 + 
     3503*T1^9*T2^5 - 618*T1^10*T2^5 - 363*T1^11*T2^5 - 51*T2^6 - 
     237*T1*T2^6 + 1648*T1^2*T2^6 - 1080*T1^3*T2^6 - 4253*T1^4*T2^6 + 
     8301*T1^5*T2^6 - 2652*T1^6*T2^6 - 5337*T1^7*T2^6 + 9889*T1^8*T2^6 - 
     3564*T1^9*T2^6 - 1308*T1^10*T2^6 + 1089*T1^11*T2^6 + 111*T1^12*T2^6 + 
     105*T1*T2^7 - 540*T1^2*T2^7 - 1411*T1^3*T2^7 + 5120*T1^4*T2^7 - 
     3866*T1^5*T2^7 - 5337*T1^6*T2^7 + 9123*T1^7*T2^7 - 6863*T1^8*T2^7 - 
     2620*T1^9*T2^7 + 4340*T1^10*T2^7 - 1164*T1^11*T2^7 - 480*T1^12*T2^7 + 
     20*T1^2*T2^8 + 1291*T1^3*T2^8 - 1436*T1^4*T2^8 - 3340*T1^5*T2^8 + 
     9889*T1^6*T2^8 - 6863*T1^7*T2^8 + 505*T1^8*T2^8 + 6560*T1^9*T2^8 - 
     3842*T1^10*T2^8 - 347*T1^11*T2^8 + 992*T1^12*T2^8 - 318*T1^3*T2^9 - 
     815*T1^4*T2^9 + 3503*T1^5*T2^9 - 3564*T1^6*T2^9 - 2620*T1^7*T2^9 + 
     6560*T1^8*T2^9 - 6912*T1^9*T2^9 + 1100*T1^10*T2^9 + 1993*T1^11*T2^9 - 
     1209*T1^12*T2^9 + 506*T1^4*T2^10 - 618*T1^5*T2^10 - 1308*T1^6*T2^10 + 
     4340*T1^7*T2^10 - 3842*T1^8*T2^10 + 1100*T1^9*T2^10 + 2580*T1^10*T2^10 - 
     2724*T1^11*T2^10 + 992*T1^12*T2^10 - 363*T1^5*T2^11 + 1089*T1^6*T2^11 - 
     1164*T1^7*T2^11 - 347*T1^8*T2^11 + 1993*T1^9*T2^11 - 2724*T1^10*T2^11 + 
     1713*T1^11*T2^11 - 480*T1^12*T2^11 + 111*T1^6*T2^12 - 480*T1^7*T2^12 + 
     992*T1^8*T2^12 - 1209*T1^9*T2^12 + 992*T1^10*T2^12 - 480*T1^11*T2^12 + 
     111*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 713] -> 
  {(3 - 11*T + 20*T^2 - 23*T^3 + 20*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-57 + 210*T1 - 385*T1^2 + 445*T1^3 - 385*T1^4 + 210*T1^5 - 57*T1^6 + 
     210*T2 - 661*T1*T2 + 1006*T1^2*T2 - 879*T1^3*T2 + 540*T1^4*T2 - 
     17*T1^5*T2 - 199*T1^6*T2 + 111*T1^7*T2 - 385*T2^2 + 1006*T1*T2^2 - 
     1146*T1^2*T2^2 + 425*T1^3*T2^2 + 254*T1^4*T2^2 - 1015*T1^5*T2^2 + 
     894*T1^6*T2^2 - 314*T1^7*T2^2 - 25*T1^8*T2^2 + 445*T2^3 - 879*T1*T2^3 + 
     425*T1^2*T2^3 + 855*T1^3*T2^3 - 1358*T1^4*T2^3 + 1685*T1^5*T2^3 - 
     583*T1^6*T2^3 - 635*T1^7*T2^3 + 738*T1^8*T2^3 - 176*T1^9*T2^3 - 
     385*T2^4 + 540*T1*T2^4 + 254*T1^2*T2^4 - 1358*T1^3*T2^4 + 
     1073*T1^4*T2^4 - 719*T1^5*T2^4 - 919*T1^6*T2^4 + 1724*T1^7*T2^4 - 
     512*T1^8*T2^4 - 582*T1^9*T2^4 + 335*T1^10*T2^4 + 210*T2^5 - 17*T1*T2^5 - 
     1015*T1^2*T2^5 + 1685*T1^3*T2^5 - 719*T1^4*T2^5 - 133*T1^5*T2^5 + 
     1497*T1^6*T2^5 - 1119*T1^7*T2^5 - 1280*T1^8*T2^5 + 1565*T1^9*T2^5 - 
     182*T1^10*T2^5 - 285*T1^11*T2^5 - 57*T2^6 - 199*T1*T2^6 + 
     894*T1^2*T2^6 - 583*T1^3*T2^6 - 919*T1^4*T2^6 + 1497*T1^5*T2^6 - 
     1164*T1^6*T2^6 - 469*T1^7*T2^6 + 2629*T1^8*T2^6 - 945*T1^9*T2^6 - 
     950*T1^10*T2^6 + 659*T1^11*T2^6 + 105*T1^12*T2^6 + 111*T1*T2^7 - 
     314*T1^2*T2^7 - 635*T1^3*T2^7 + 1724*T1^4*T2^7 - 1119*T1^5*T2^7 - 
     469*T1^6*T2^7 + 1161*T1^7*T2^7 - 1519*T1^8*T2^7 - 1241*T1^9*T2^7 + 
     1945*T1^10*T2^7 - 479*T1^11*T2^7 - 384*T1^12*T2^7 - 25*T1^2*T2^8 + 
     738*T1^3*T2^8 - 512*T1^4*T2^8 - 1280*T1^5*T2^8 + 2629*T1^6*T2^8 - 
     1519*T1^7*T2^8 + 637*T1^8*T2^8 + 1802*T1^9*T2^8 - 1278*T1^10*T2^8 - 
     384*T1^11*T2^8 + 695*T1^12*T2^8 - 176*T1^3*T2^9 - 582*T1^4*T2^9 + 
     1565*T1^5*T2^9 - 945*T1^6*T2^9 - 1241*T1^7*T2^9 + 1802*T1^8*T2^9 - 
     2383*T1^9*T2^9 + 505*T1^10*T2^9 + 1035*T1^11*T2^9 - 797*T1^12*T2^9 + 
     335*T1^4*T2^10 - 182*T1^5*T2^10 - 950*T1^6*T2^10 + 1945*T1^7*T2^10 - 
     1278*T1^8*T2^10 + 505*T1^9*T2^10 + 1090*T1^10*T2^10 - 1502*T1^11*T2^10 + 
     695*T1^12*T2^10 - 285*T1^5*T2^11 + 659*T1^6*T2^11 - 479*T1^7*T2^11 - 
     384*T1^8*T2^11 + 1035*T1^9*T2^11 - 1502*T1^10*T2^11 + 1121*T1^11*T2^11 - 
     384*T1^12*T2^11 + 105*T1^6*T2^12 - 384*T1^7*T2^12 + 695*T1^8*T2^12 - 
     797*T1^9*T2^12 + 695*T1^10*T2^12 - 384*T1^11*T2^12 + 105*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 714] -> 
  {(3 - 14*T + 30*T^2 - 37*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3, 
   (-111 + 516*T1 - 1100*T1^2 + 1353*T1^3 - 1100*T1^4 + 516*T1^5 - 111*T1^6 + 
     516*T2 - 2008*T1*T2 + 3303*T1^2*T2 - 2437*T1^3*T2 + 377*T1^4*T2 + 
     1455*T1^5*T2 - 1294*T1^6*T2 + 390*T1^7*T2 - 1100*T2^2 + 3303*T1*T2^2 - 
     3053*T1^2*T2^2 - 1931*T1^3*T2^2 + 5673*T1^4*T2^2 - 6071*T1^5*T2^2 + 
     1807*T1^6*T2^2 + 783*T1^7*T2^2 - 560*T1^8*T2^2 + 1353*T2^3 - 
     2437*T1*T2^3 - 1931*T1^2*T2^3 + 10111*T1^3*T2^3 - 9711*T1^4*T2^3 + 
     3777*T1^5*T2^3 + 4951*T1^6*T2^3 - 4781*T1^7*T2^3 + 965*T1^8*T2^3 + 
     354*T1^9*T2^3 - 1100*T2^4 + 377*T1*T2^4 + 5673*T1^2*T2^4 - 
     9711*T1^3*T2^4 - 215*T1^4*T2^4 + 9875*T1^5*T2^4 - 14323*T1^6*T2^4 + 
     4941*T1^7*T2^4 + 1969*T1^8*T2^4 - 1555*T1^9*T2^4 - 20*T1^10*T2^4 + 
     516*T2^5 + 1455*T1*T2^5 - 6071*T1^2*T2^5 + 3777*T1^3*T2^5 + 
     9875*T1^4*T2^5 - 13946*T1^5*T2^5 + 8554*T1^6*T2^5 + 5135*T1^7*T2^5 - 
     7383*T1^8*T2^5 + 1939*T1^9*T2^5 + 615*T1^10*T2^5 - 114*T1^11*T2^5 - 
     111*T2^6 - 1294*T1*T2^6 + 1807*T1^2*T2^6 + 4951*T1^3*T2^6 - 
     14323*T1^4*T2^6 + 8554*T1^5*T2^6 + 3384*T1^6*T2^6 - 12434*T1^7*T2^6 + 
     6889*T1^8*T2^6 + 1273*T1^9*T2^6 - 2149*T1^10*T2^6 + 302*T1^11*T2^6 + 
     51*T1^12*T2^6 + 390*T1*T2^7 + 783*T1^2*T2^7 - 4781*T1^3*T2^7 + 
     4941*T1^4*T2^7 + 5135*T1^5*T2^7 - 12434*T1^6*T2^7 + 10066*T1^7*T2^7 + 
     395*T1^8*T2^7 - 6219*T1^9*T2^7 + 3229*T1^10*T2^7 - 57*T1^11*T2^7 - 
     240*T1^12*T2^7 - 560*T1^2*T2^8 + 965*T1^3*T2^8 + 1969*T1^4*T2^8 - 
     7383*T1^5*T2^8 + 6889*T1^6*T2^8 + 395*T1^7*T2^8 - 7219*T1^8*T2^8 + 
     7269*T1^9*T2^8 - 1735*T1^10*T2^8 - 967*T1^11*T2^8 + 520*T1^12*T2^8 + 
     354*T1^3*T2^9 - 1555*T1^4*T2^9 + 1939*T1^5*T2^9 + 1273*T1^6*T2^9 - 
     6219*T1^7*T2^9 + 7269*T1^8*T2^9 - 3887*T1^9*T2^9 - 911*T1^10*T2^9 + 
     1847*T1^11*T2^9 - 645*T1^12*T2^9 - 20*T1^4*T2^10 + 615*T1^5*T2^10 - 
     2149*T1^6*T2^10 + 3229*T1^7*T2^10 - 1735*T1^8*T2^10 - 911*T1^9*T2^10 + 
     2711*T1^10*T2^10 - 1905*T1^11*T2^10 + 520*T1^12*T2^10 - 114*T1^5*T2^11 + 
     302*T1^6*T2^11 - 57*T1^7*T2^11 - 967*T1^8*T2^11 + 1847*T1^9*T2^11 - 
     1905*T1^10*T2^11 + 1016*T1^11*T2^11 - 240*T1^12*T2^11 + 51*T1^6*T2^12 - 
     240*T1^7*T2^12 + 520*T1^8*T2^12 - 645*T1^9*T2^12 + 520*T1^10*T2^12 - 
     240*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 715] -> {(6 - 22*T + 33*T^2 - 22*T^3 + 6*T^4)/T^2, 
   (-429 + 1569*T1 - 2347*T1^2 + 1569*T1^3 - 429*T1^4 + 1569*T2 - 
     4952*T1*T2 + 5746*T1^2*T2 - 1514*T1^3*T2 - 1256*T1^4*T2 + 777*T1^5*T2 - 
     2347*T2^2 + 5746*T1*T2^2 - 2551*T1^2*T2^2 - 6855*T1^3*T2^2 + 
     8141*T1^4*T2^2 - 2966*T1^5*T2^2 + 29*T1^6*T2^2 + 1569*T2^3 - 
     1514*T1*T2^3 - 6855*T1^2*T2^3 + 16954*T1^3*T2^3 - 11888*T1^4*T2^3 + 
     405*T1^5*T2^3 + 2842*T1^6*T2^3 - 807*T1^7*T2^3 - 429*T2^4 - 
     1256*T1*T2^4 + 8141*T1^2*T2^4 - 11888*T1^3*T2^4 + 1128*T1^4*T2^4 + 
     11080*T1^5*T2^4 - 8403*T1^6*T2^4 + 1384*T1^7*T2^4 + 435*T1^8*T2^4 + 
     777*T1*T2^5 - 2966*T1^2*T2^5 + 405*T1^3*T2^5 + 11080*T1^4*T2^5 - 
     17762*T1^5*T2^5 + 7665*T1^6*T2^5 + 1390*T1^7*T2^5 - 1599*T1^8*T2^5 + 
     29*T1^2*T2^6 + 2842*T1^3*T2^6 - 8403*T1^4*T2^6 + 7665*T1^5*T2^6 + 
     2289*T1^6*T2^6 - 5870*T1^7*T2^6 + 2405*T1^8*T2^6 - 807*T1^3*T2^7 + 
     1384*T1^4*T2^7 + 1390*T1^5*T2^7 - 5870*T1^6*T2^7 + 5080*T1^7*T2^7 - 
     1599*T1^8*T2^7 + 435*T1^4*T2^8 - 1599*T1^5*T2^8 + 2405*T1^6*T2^8 - 
     1599*T1^7*T2^8 + 435*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 716] -> 
  {(2 - 9*T + 18*T^2 - 21*T^3 + 18*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-31 + 139*T1 - 276*T1^2 + 321*T1^3 - 276*T1^4 + 139*T1^5 - 31*T1^6 + 
     139*T2 - 520*T1*T2 + 775*T1^2*T2 - 525*T1^3*T2 + 177*T1^4*T2 + 
     289*T1^5*T2 - 322*T1^6*T2 + 103*T1^7*T2 - 276*T2^2 + 775*T1*T2^2 - 
     499*T1^2*T2^2 - 714*T1^3*T2^2 + 1241*T1^4*T2^2 - 1578*T1^5*T2^2 + 
     653*T1^6*T2^2 + 127*T1^7*T2^2 - 132*T1^8*T2^2 + 321*T2^3 - 525*T1*T2^3 - 
     714*T1^2*T2^3 + 2378*T1^3*T2^3 - 1809*T1^4*T2^3 + 1107*T1^5*T2^3 + 
     902*T1^6*T2^3 - 1200*T1^7*T2^3 + 285*T1^8*T2^3 + 69*T1^9*T2^3 - 
     276*T2^4 + 177*T1*T2^4 + 1241*T1^2*T2^4 - 1809*T1^3*T2^4 - 
     520*T1^4*T2^4 + 1606*T1^5*T2^4 - 2752*T1^6*T2^4 + 1215*T1^7*T2^4 + 
     431*T1^8*T2^4 - 363*T1^9*T2^4 + 12*T1^10*T2^4 + 139*T2^5 + 289*T1*T2^5 - 
     1578*T1^2*T2^5 + 1107*T1^3*T2^5 + 1606*T1^4*T2^5 - 1620*T1^5*T2^5 + 
     990*T1^6*T2^5 + 958*T1^7*T2^5 - 1593*T1^8*T2^5 + 420*T1^9*T2^5 + 
     127*T1^10*T2^5 - 41*T1^11*T2^5 - 31*T2^6 - 322*T1*T2^6 + 653*T1^2*T2^6 + 
     902*T1^3*T2^6 - 2752*T1^4*T2^6 + 990*T1^5*T2^6 + 924*T1^6*T2^6 - 
     1818*T1^7*T2^6 + 1244*T1^8*T2^6 + 398*T1^9*T2^6 - 535*T1^10*T2^6 + 
     110*T1^11*T2^6 + 17*T1^12*T2^6 + 103*T1*T2^7 + 127*T1^2*T2^7 - 
     1200*T1^3*T2^7 + 1215*T1^4*T2^7 + 958*T1^5*T2^7 - 1818*T1^6*T2^7 + 
     792*T1^7*T2^7 + 310*T1^8*T2^7 - 1485*T1^9*T2^7 + 798*T1^10*T2^7 - 
     35*T1^11*T2^7 - 77*T1^12*T2^7 - 132*T1^2*T2^8 + 285*T1^3*T2^8 + 
     431*T1^4*T2^8 - 1593*T1^5*T2^8 + 1244*T1^6*T2^8 + 310*T1^7*T2^8 - 
     988*T1^8*T2^8 + 1431*T1^9*T2^8 - 379*T1^10*T2^8 - 255*T1^11*T2^8 + 
     156*T1^12*T2^8 + 69*T1^3*T2^9 - 363*T1^4*T2^9 + 420*T1^5*T2^9 + 
     398*T1^6*T2^9 - 1485*T1^7*T2^9 + 1431*T1^8*T2^9 - 1078*T1^9*T2^9 - 
     66*T1^10*T2^9 + 447*T1^11*T2^9 - 183*T1^12*T2^9 + 12*T1^4*T2^10 + 
     127*T1^5*T2^10 - 535*T1^6*T2^10 + 798*T1^7*T2^10 - 379*T1^8*T2^10 - 
     66*T1^9*T2^10 + 617*T1^10*T2^10 - 521*T1^11*T2^10 + 156*T1^12*T2^10 - 
     41*T1^5*T2^11 + 110*T1^6*T2^11 - 35*T1^7*T2^11 - 255*T1^8*T2^11 + 
     447*T1^9*T2^11 - 521*T1^10*T2^11 + 308*T1^11*T2^11 - 77*T1^12*T2^11 + 
     17*T1^6*T2^12 - 77*T1^7*T2^12 + 156*T1^8*T2^12 - 183*T1^9*T2^12 + 
     156*T1^10*T2^12 - 77*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 717] -> 
  {(1 - 4*T + 12*T^2 - 17*T^3 + 12*T^4 - 4*T^5 + T^6)/T^3, 
   (-2 + 8*T1 - 24*T1^2 + 34*T1^3 - 24*T1^4 + 8*T1^5 - 2*T1^6 + 8*T2 - 
     28*T1*T2 + 80*T1^2*T2 - 88*T1^3*T2 + 28*T1^4*T2 + 16*T1^5*T2 - 
     8*T1^6*T2 + 4*T1^7*T2 - 24*T2^2 + 80*T1*T2^2 - 178*T1^2*T2^2 + 
     111*T1^3*T2^2 + 118*T1^4*T2^2 - 201*T1^5*T2^2 + 86*T1^6*T2^2 - 
     16*T1^7*T2^2 + 34*T2^3 - 88*T1*T2^3 + 111*T1^2*T2^3 + 95*T1^3*T2^3 - 
     394*T1^4*T2^3 + 182*T1^5*T2^3 + 245*T1^6*T2^3 - 261*T1^7*T2^3 + 
     68*T1^8*T2^3 - 17*T1^9*T2^3 - 24*T2^4 + 28*T1*T2^4 + 118*T1^2*T2^4 - 
     394*T1^3*T2^4 + 712*T1^4*T2^4 - 90*T1^5*T2^4 - 528*T1^6*T2^4 + 
     286*T1^7*T2^4 + 150*T1^8*T2^4 - 28*T1^9*T2^4 + 24*T1^10*T2^4 + 8*T2^5 + 
     16*T1*T2^5 - 201*T1^2*T2^5 + 182*T1^3*T2^5 - 90*T1^4*T2^5 - 
     1508*T1^5*T2^5 + 2204*T1^6*T2^5 - 1002*T1^7*T2^5 - 186*T1^8*T2^5 - 
     69*T1^9*T2^5 - 48*T1^10*T2^5 - 12*T1^11*T2^5 - 2*T2^6 - 8*T1*T2^6 + 
     86*T1^2*T2^6 + 245*T1^3*T2^6 - 528*T1^4*T2^6 + 2204*T1^5*T2^6 - 
     1596*T1^6*T2^6 - 860*T1^7*T2^6 + 1624*T1^8*T2^6 - 241*T1^9*T2^6 + 
     190*T1^10*T2^6 + 32*T1^11*T2^6 + 4*T1^12*T2^6 + 4*T1*T2^7 - 
     16*T1^2*T2^7 - 261*T1^3*T2^7 + 286*T1^4*T2^7 - 1002*T1^5*T2^7 - 
     860*T1^6*T2^7 + 2852*T1^7*T2^7 - 1914*T1^8*T2^7 - 82*T1^9*T2^7 - 
     129*T1^10*T2^7 - 80*T1^11*T2^7 - 16*T1^12*T2^7 + 68*T1^3*T2^8 + 
     150*T1^4*T2^8 - 186*T1^5*T2^8 + 1624*T1^6*T2^8 - 1914*T1^7*T2^8 + 
     384*T1^8*T2^8 + 494*T1^9*T2^8 + 182*T1^10*T2^8 + 12*T1^11*T2^8 + 
     48*T1^12*T2^8 - 17*T1^3*T2^9 - 28*T1^4*T2^9 - 69*T1^5*T2^9 - 
     241*T1^6*T2^9 - 82*T1^7*T2^9 + 494*T1^8*T2^9 - 91*T1^9*T2^9 - 
     441*T1^10*T2^9 + 128*T1^11*T2^9 - 68*T1^12*T2^9 + 24*T1^4*T2^10 - 
     48*T1^5*T2^10 + 190*T1^6*T2^10 - 129*T1^7*T2^10 + 182*T1^8*T2^10 - 
     441*T1^9*T2^10 + 454*T1^10*T2^10 - 144*T1^11*T2^10 + 48*T1^12*T2^10 - 
     12*T1^5*T2^11 + 32*T1^6*T2^11 - 80*T1^7*T2^11 + 12*T1^8*T2^11 + 
     128*T1^9*T2^11 - 144*T1^10*T2^11 + 52*T1^11*T2^11 - 16*T1^12*T2^11 + 
     4*T1^6*T2^12 - 16*T1^7*T2^12 + 48*T1^8*T2^12 - 68*T1^9*T2^12 + 
     48*T1^10*T2^12 - 16*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 718] -> 
  {(2 - 7*T + 12*T^2 - 13*T^3 + 12*T^4 - 7*T^5 + 2*T^6)/T^3, 
   (-15 + 54*T1 - 94*T1^2 + 103*T1^3 - 94*T1^4 + 54*T1^5 - 15*T1^6 + 54*T2 - 
     168*T1*T2 + 242*T1^2*T2 - 200*T1^3*T2 + 150*T1^4*T2 - 24*T1^5*T2 - 
     42*T1^6*T2 + 26*T1^7*T2 - 94*T2^2 + 242*T1*T2^2 - 264*T1^2*T2^2 + 
     118*T1^3*T2^2 - 56*T1^4*T2^2 - 170*T1^5*T2^2 + 216*T1^6*T2^2 - 
     94*T1^7*T2^2 + 2*T1^8*T2^2 + 103*T2^3 - 200*T1*T2^3 + 118*T1^2*T2^3 + 
     102*T1^3*T2^3 - 151*T1^4*T2^3 + 467*T1^5*T2^3 - 324*T1^6*T2^3 - 
     62*T1^7*T2^3 + 178*T1^8*T2^3 - 53*T1^9*T2^3 - 94*T2^4 + 150*T1*T2^4 - 
     56*T1^2*T2^4 - 151*T1^3*T2^4 + 167*T1^4*T2^4 - 477*T1^5*T2^4 + 
     35*T1^6*T2^4 + 421*T1^7*T2^4 - 178*T1^8*T2^4 - 158*T1^9*T2^4 + 
     98*T1^10*T2^4 + 54*T2^5 - 24*T1*T2^5 - 170*T1^2*T2^5 + 467*T1^3*T2^5 - 
     477*T1^4*T2^5 + 526*T1^5*T2^5 + 268*T1^6*T2^5 - 501*T1^7*T2^5 - 
     243*T1^8*T2^5 + 442*T1^9*T2^5 - 38*T1^10*T2^5 - 86*T1^11*T2^5 - 
     15*T2^6 - 42*T1*T2^6 + 216*T1^2*T2^6 - 324*T1^3*T2^6 + 35*T1^4*T2^6 + 
     268*T1^5*T2^6 - 768*T1^6*T2^6 + 332*T1^7*T2^6 + 655*T1^8*T2^6 - 
     300*T1^9*T2^6 - 292*T1^10*T2^6 + 182*T1^11*T2^6 + 33*T1^12*T2^6 + 
     26*T1*T2^7 - 94*T1^2*T2^7 - 62*T1^3*T2^7 + 421*T1^4*T2^7 - 
     501*T1^5*T2^7 + 332*T1^6*T2^7 + 74*T1^7*T2^7 - 525*T1^8*T2^7 - 
     289*T1^9*T2^7 + 550*T1^10*T2^7 - 108*T1^11*T2^7 - 114*T1^12*T2^7 + 
     2*T1^2*T2^8 + 178*T1^3*T2^8 - 178*T1^4*T2^8 - 243*T1^5*T2^8 + 
     655*T1^6*T2^8 - 525*T1^7*T2^8 + 523*T1^8*T2^8 + 329*T1^9*T2^8 - 
     300*T1^10*T2^8 - 130*T1^11*T2^8 + 194*T1^12*T2^8 - 53*T1^3*T2^9 - 
     158*T1^4*T2^9 + 442*T1^5*T2^9 - 300*T1^6*T2^9 - 289*T1^7*T2^9 + 
     329*T1^8*T2^9 - 726*T1^9*T2^9 + 262*T1^10*T2^9 + 220*T1^11*T2^9 - 
     209*T1^12*T2^9 + 98*T1^4*T2^10 - 38*T1^5*T2^10 - 292*T1^6*T2^10 + 
     550*T1^7*T2^10 - 300*T1^8*T2^10 + 262*T1^9*T2^10 + 188*T1^10*T2^10 - 
     374*T1^11*T2^10 + 194*T1^12*T2^10 - 86*T1^5*T2^11 + 182*T1^6*T2^11 - 
     108*T1^7*T2^11 - 130*T1^8*T2^11 + 220*T1^9*T2^11 - 374*T1^10*T2^11 + 
     308*T1^11*T2^11 - 114*T1^12*T2^11 + 33*T1^6*T2^12 - 114*T1^7*T2^12 + 
     194*T1^8*T2^12 - 209*T1^9*T2^12 + 194*T1^10*T2^12 - 114*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 719] -> 
  {(1 - 5*T + 13*T^2 - 17*T^3 + 13*T^4 - 5*T^5 + T^6)/T^3, 
   (-4 + 20*T1 - 52*T1^2 + 68*T1^3 - 52*T1^4 + 20*T1^5 - 4*T1^6 + 20*T2 - 
     85*T1*T2 + 187*T1^2*T2 - 146*T1^3*T2 + 4*T1^4*T2 + 97*T1^5*T2 - 
     55*T1^6*T2 + 15*T1^7*T2 - 52*T2^2 + 187*T1*T2^2 - 364*T1^2*T2^2 + 
     104*T1^3*T2^2 + 176*T1^4*T2^2 - 208*T1^5*T2^2 - 52*T1^6*T2^2 + 
     57*T1^7*T2^2 - 26*T1^8*T2^2 + 68*T2^3 - 146*T1*T2^3 + 104*T1^2*T2^3 + 
     694*T1^3*T2^3 - 783*T1^4*T2^3 + 249*T1^5*T2^3 + 442*T1^6*T2^3 - 
     169*T1^7*T2^3 + 44*T1^8*T2^3 + 17*T1^9*T2^3 - 52*T2^4 + 4*T1*T2^4 + 
     176*T1^2*T2^4 - 783*T1^3*T2^4 - 426*T1^4*T2^4 + 1630*T1^5*T2^4 - 
     1842*T1^6*T2^4 + 373*T1^7*T2^4 + 2*T1^8*T2^4 - 86*T1^9*T2^4 + 20*T2^5 + 
     97*T1*T2^5 - 208*T1^2*T2^5 + 249*T1^3*T2^5 + 1630*T1^4*T2^5 - 
     2139*T1^5*T2^5 + 1131*T1^6*T2^5 + 837*T1^7*T2^5 - 535*T1^8*T2^5 + 
     221*T1^9*T2^5 + 27*T1^10*T2^5 - 5*T1^11*T2^5 - 4*T2^6 - 55*T1*T2^6 - 
     52*T1^2*T2^6 + 442*T1^3*T2^6 - 1842*T1^4*T2^6 + 1131*T1^5*T2^6 + 
     504*T1^6*T2^6 - 1755*T1^7*T2^6 + 592*T1^8*T2^6 - 50*T1^9*T2^6 - 
     136*T1^10*T2^6 + 15*T1^11*T2^6 + 2*T1^12*T2^6 + 15*T1*T2^7 + 
     57*T1^2*T2^7 - 169*T1^3*T2^7 + 373*T1^4*T2^7 + 837*T1^5*T2^7 - 
     1755*T1^6*T2^7 + 1515*T1^7*T2^7 + 44*T1^8*T2^7 - 411*T1^9*T2^7 + 
     260*T1^10*T2^7 - 13*T1^11*T2^7 - 10*T1^12*T2^7 - 26*T1^2*T2^8 + 
     44*T1^3*T2^8 + 2*T1^4*T2^8 - 535*T1^5*T2^8 + 592*T1^6*T2^8 + 
     44*T1^7*T2^8 - 824*T1^8*T2^8 + 621*T1^9*T2^8 - 172*T1^10*T2^8 - 
     46*T1^11*T2^8 + 26*T1^12*T2^8 + 17*T1^3*T2^9 - 86*T1^4*T2^9 + 
     221*T1^5*T2^9 - 50*T1^6*T2^9 - 411*T1^7*T2^9 + 621*T1^8*T2^9 - 
     302*T1^9*T2^9 - 52*T1^10*T2^9 + 104*T1^11*T2^9 - 34*T1^12*T2^9 + 
     27*T1^5*T2^10 - 136*T1^6*T2^10 + 260*T1^7*T2^10 - 172*T1^8*T2^10 - 
     52*T1^9*T2^10 + 176*T1^10*T2^10 - 103*T1^11*T2^10 + 26*T1^12*T2^10 - 
     5*T1^5*T2^11 + 15*T1^6*T2^11 - 13*T1^7*T2^11 - 46*T1^8*T2^11 + 
     104*T1^9*T2^11 - 103*T1^10*T2^11 + 45*T1^11*T2^11 - 10*T1^12*T2^11 + 
     2*T1^6*T2^12 - 10*T1^7*T2^12 + 26*T1^8*T2^12 - 34*T1^9*T2^12 + 
     26*T1^10*T2^12 - 10*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 720] -> 
  {-((2 - 11*T + 23*T^2 - 29*T^3 + 23*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 224*T1 - 466*T1^2 + 587*T1^3 - 466*T1^4 + 224*T1^5 - 41*T1^6 + 
      224*T2 - 1044*T1*T2 + 1566*T1^2*T2 - 1168*T1^3*T2 - 24*T1^4*T2 + 
      818*T1^5*T2 - 758*T1^6*T2 + 180*T1^7*T2 - 466*T2^2 + 1566*T1*T2^2 - 
      279*T1^2*T2^2 - 2820*T1^3*T2^2 + 5409*T1^4*T2^2 - 4476*T1^5*T2^2 + 
      1653*T1^6*T2^2 + 554*T1^7*T2^2 - 282*T1^8*T2^2 + 587*T2^3 - 
      1168*T1*T2^3 - 2820*T1^2*T2^3 + 6607*T1^3*T2^3 - 6441*T1^4*T2^3 + 
      799*T1^5*T2^3 + 3399*T1^6*T2^3 - 3533*T1^7*T2^3 + 240*T1^8*T2^3 + 
      239*T1^9*T2^3 - 466*T2^4 - 24*T1*T2^4 + 5409*T1^2*T2^4 - 
      6441*T1^3*T2^4 + 1739*T1^4*T2^4 + 5691*T1^5*T2^4 - 5881*T1^6*T2^4 + 
      1621*T1^7*T2^4 + 2623*T1^8*T2^4 - 772*T1^9*T2^4 - 98*T1^10*T2^4 + 
      224*T2^5 + 818*T1*T2^5 - 4476*T1^2*T2^5 + 799*T1^3*T2^5 + 
      5691*T1^4*T2^5 - 8516*T1^5*T2^5 + 1792*T1^6*T2^5 + 4012*T1^7*T2^5 - 
      4797*T1^8*T2^5 + 9*T1^9*T2^5 + 510*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 758*T1*T2^6 + 1653*T1^2*T2^6 + 3399*T1^3*T2^6 - 
      5881*T1^4*T2^6 + 1792*T1^5*T2^6 + 6504*T1^6*T2^6 - 7352*T1^7*T2^6 + 
      2853*T1^8*T2^6 + 2197*T1^9*T2^6 - 1003*T1^10*T2^6 - 54*T1^11*T2^6 + 
      7*T1^12*T2^6 + 180*T1*T2^7 + 554*T1^2*T2^7 - 3533*T1^3*T2^7 + 
      1621*T1^4*T2^7 + 4012*T1^5*T2^7 - 7352*T1^6*T2^7 + 2956*T1^7*T2^7 + 
      2333*T1^8*T2^7 - 3975*T1^9*T2^7 + 952*T1^10*T2^7 + 246*T1^11*T2^7 - 
      40*T1^12*T2^7 - 282*T1^2*T2^8 + 240*T1^3*T2^8 + 2623*T1^4*T2^8 - 
      4797*T1^5*T2^8 + 2853*T1^6*T2^8 + 2333*T1^7*T2^8 - 4767*T1^8*T2^8 + 
      3265*T1^9*T2^8 - 163*T1^10*T2^8 - 508*T1^11*T2^8 + 86*T1^12*T2^8 + 
      239*T1^3*T2^9 - 772*T1^4*T2^9 + 9*T1^5*T2^9 + 2197*T1^6*T2^9 - 
      3975*T1^7*T2^9 + 3265*T1^8*T2^9 - 1011*T1^9*T2^9 - 704*T1^10*T2^9 + 
      636*T1^11*T2^9 - 109*T1^12*T2^9 - 98*T1^4*T2^10 + 510*T1^5*T2^10 - 
      1003*T1^6*T2^10 + 952*T1^7*T2^10 - 163*T1^8*T2^10 - 704*T1^9*T2^10 + 
      929*T1^10*T2^10 - 502*T1^11*T2^10 + 86*T1^12*T2^10 + 4*T1^5*T2^11 - 
      54*T1^6*T2^11 + 246*T1^7*T2^11 - 508*T1^8*T2^11 + 636*T1^9*T2^11 - 
      502*T1^10*T2^11 + 232*T1^11*T2^11 - 40*T1^12*T2^11 + 7*T1^6*T2^12 - 
      40*T1^7*T2^12 + 86*T1^8*T2^12 - 109*T1^9*T2^12 + 86*T1^10*T2^12 - 
      40*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 721] -> {(1 - T + T^2 - T^3 + T^4)^2/T^4, 
   (2*(-2 + 4*T1 - 6*T1^2 + 8*T1^3 - 10*T1^4 + 8*T1^5 - 6*T1^6 + 4*T1^7 - 
      2*T1^8 + 4*T2 - 5*T1*T2 + 6*T1^2*T2 - 7*T1^3*T2 + 8*T1^4*T2 - T1^5*T2 + 
      T1^7*T2 - 2*T1^8*T2 + 3*T1^9*T2 - 6*T2^2 + 6*T1*T2^2 - 9*T1^2*T2^2 + 
      12*T1^3*T2^2 - 14*T1^4*T2^2 + 4*T1^5*T2^2 - 8*T1^6*T2^2 + 6*T1^7*T2^2 - 
      3*T1^8*T2^2 - 3*T1^10*T2^2 + 8*T2^3 - 7*T1*T2^3 + 12*T1^2*T2^3 - 
      15*T1^3*T2^3 + 16*T1^4*T2^3 - 3*T1^5*T2^3 + 12*T1^6*T2^3 - 
      5*T1^7*T2^3 + 3*T1^9*T2^3 + 2*T1^10*T2^3 + 2*T1^11*T2^3 - 10*T2^4 + 
      8*T1*T2^4 - 14*T1^2*T2^4 + 16*T1^3*T2^4 - 11*T1^4*T2^4 - 7*T1^5*T2^4 - 
      3*T1^6*T2^4 - 11*T1^7*T2^4 + 13*T1^8*T2^4 - 8*T1^9*T2^4 - 
      4*T1^11*T2^4 + 8*T2^5 - T1*T2^5 + 4*T1^2*T2^5 - 3*T1^3*T2^5 - 
      7*T1^4*T2^5 + 14*T1^5*T2^5 + 5*T1^6*T2^5 + 6*T1^7*T2^5 + T1^8*T2^5 - 
      12*T1^9*T2^5 + 10*T1^10*T2^5 - 2*T1^11*T2^5 + 4*T1^12*T2^5 - 
      2*T1^13*T2^5 - 6*T2^6 - 8*T1^2*T2^6 + 12*T1^3*T2^6 - 3*T1^4*T2^6 + 
      5*T1^5*T2^6 - 13*T1^6*T2^6 - 6*T1^7*T2^6 + 3*T1^8*T2^6 + 3*T1^9*T2^6 + 
      8*T1^10*T2^6 - 6*T1^11*T2^6 + 2*T1^12*T2^6 - 2*T1^13*T2^6 + 
      3*T1^14*T2^6 + 4*T2^7 + T1*T2^7 + 6*T1^2*T2^7 - 5*T1^3*T2^7 - 
      11*T1^4*T2^7 + 6*T1^5*T2^7 - 6*T1^6*T2^7 + 14*T1^7*T2^7 - 4*T1^8*T2^7 - 
      8*T1^9*T2^7 - T1^10*T2^7 - 10*T1^11*T2^7 + 4*T1^12*T2^7 - 
      3*T1^13*T2^7 - 3*T1^15*T2^7 - 2*T2^8 - 2*T1*T2^8 - 3*T1^2*T2^8 + 
      13*T1^4*T2^8 + T1^5*T2^8 + 3*T1^6*T2^8 - 4*T1^7*T2^8 + 8*T1^9*T2^8 + 
      7*T1^10*T2^8 + 5*T1^11*T2^8 + 7*T1^12*T2^8 + 3*T1^14*T2^8 + 
      2*T1^15*T2^8 + 2*T1^16*T2^8 + 3*T1*T2^9 + 3*T1^3*T2^9 - 8*T1^4*T2^9 - 
      12*T1^5*T2^9 + 3*T1^6*T2^9 - 8*T1^7*T2^9 + 8*T1^8*T2^9 - 10*T1^9*T2^9 - 
      10*T1^10*T2^9 - 4*T1^11*T2^9 - 11*T1^12*T2^9 + T1^13*T2^9 - 
      6*T1^14*T2^9 - T1^15*T2^9 - 4*T1^16*T2^9 - 3*T1^2*T2^10 + 
      2*T1^3*T2^10 + 10*T1^5*T2^10 + 8*T1^6*T2^10 - T1^7*T2^10 + 
      7*T1^8*T2^10 - 10*T1^9*T2^10 + 23*T1^10*T2^10 - 3*T1^11*T2^10 + 
      19*T1^12*T2^10 - 8*T1^13*T2^10 + 10*T1^14*T2^10 + 6*T1^16*T2^10 + 
      2*T1^3*T2^11 - 4*T1^4*T2^11 - 2*T1^5*T2^11 - 6*T1^6*T2^11 - 
      10*T1^7*T2^11 + 5*T1^8*T2^11 - 4*T1^9*T2^11 - 3*T1^10*T2^11 - 
      8*T1^11*T2^11 - 15*T1^12*T2^11 + 7*T1^13*T2^11 - 8*T1^14*T2^11 + 
      T1^15*T2^11 - 8*T1^16*T2^11 + 4*T1^5*T2^12 + 2*T1^6*T2^12 + 
      4*T1^7*T2^12 + 7*T1^8*T2^12 - 11*T1^9*T2^12 + 19*T1^10*T2^12 - 
      15*T1^11*T2^12 + 31*T1^12*T2^12 - 20*T1^13*T2^12 + 16*T1^14*T2^12 - 
      8*T1^15*T2^12 + 10*T1^16*T2^12 - 2*T1^5*T2^13 - 2*T1^6*T2^13 - 
      3*T1^7*T2^13 + T1^9*T2^13 - 8*T1^10*T2^13 + 7*T1^11*T2^13 - 
      20*T1^12*T2^13 + 15*T1^13*T2^13 - 12*T1^14*T2^13 + 7*T1^15*T2^13 - 
      8*T1^16*T2^13 + 3*T1^6*T2^14 + 3*T1^8*T2^14 - 6*T1^9*T2^14 + 
      10*T1^10*T2^14 - 8*T1^11*T2^14 + 16*T1^12*T2^14 - 12*T1^13*T2^14 + 
      9*T1^14*T2^14 - 6*T1^15*T2^14 + 6*T1^16*T2^14 - 3*T1^7*T2^15 + 
      2*T1^8*T2^15 - T1^9*T2^15 + T1^11*T2^15 - 8*T1^12*T2^15 + 
      7*T1^13*T2^15 - 6*T1^14*T2^15 + 5*T1^15*T2^15 - 4*T1^16*T2^15 + 
      2*T1^8*T2^16 - 4*T1^9*T2^16 + 6*T1^10*T2^16 - 8*T1^11*T2^16 + 
      10*T1^12*T2^16 - 8*T1^13*T2^16 + 6*T1^14*T2^16 - 4*T1^15*T2^16 + 
      2*T1^16*T2^16))/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 722] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4), 
   -((-7 + 28*T1 - 49*T1^2 + 70*T1^3 - 77*T1^4 + 70*T1^5 - 49*T1^6 + 
      28*T1^7 - 7*T1^8 + 28*T2 - 88*T1*T2 + 99*T1^2*T2 - 111*T1^3*T2 + 
      67*T1^4*T2 - 17*T1^5*T2 - 43*T1^6*T2 + 55*T1^7*T2 - 68*T1^8*T2 + 
      24*T1^9*T2 - 49*T2^2 + 99*T1*T2^2 + 13*T1^2*T2^2 - 55*T1^3*T2^2 + 
      194*T1^4*T2^2 - 233*T1^5*T2^2 + 250*T1^6*T2^2 - 139*T1^7*T2^2 + 
      97*T1^8*T2^2 + 43*T1^9*T2^2 - 35*T1^10*T2^2 + 70*T2^3 - 111*T1*T2^3 - 
      55*T1^2*T2^3 - 18*T1^3*T2^3 - 110*T1^4*T2^3 + 34*T1^5*T2^3 - 
      44*T1^6*T2^3 - 84*T1^7*T2^3 + 4*T1^8*T2^3 - 125*T1^9*T2^3 - 
      19*T1^10*T2^3 + 40*T1^11*T2^3 - 77*T2^4 + 67*T1*T2^4 + 194*T1^2*T2^4 - 
      110*T1^3*T2^4 + 413*T1^4*T2^4 - 352*T1^5*T2^4 + 467*T1^6*T2^4 - 
      296*T1^7*T2^4 + 373*T1^8*T2^4 - 70*T1^9*T2^4 + 182*T1^10*T2^4 - 
      29*T1^11*T2^4 - 33*T1^12*T2^4 + 70*T2^5 - 17*T1*T2^5 - 233*T1^2*T2^5 + 
      34*T1^3*T2^5 - 352*T1^4*T2^5 + 136*T1^5*T2^5 - 241*T1^6*T2^5 - 
      17*T1^7*T2^5 - 104*T1^8*T2^5 - 220*T1^9*T2^5 - 40*T1^10*T2^5 - 
      125*T1^11*T2^5 + 51*T1^12*T2^5 + 20*T1^13*T2^5 - 49*T2^6 - 43*T1*T2^6 + 
      250*T1^2*T2^6 - 44*T1^3*T2^6 + 467*T1^4*T2^6 - 241*T1^5*T2^6 + 
      437*T1^6*T2^6 - 187*T1^7*T2^6 + 345*T1^8*T2^6 + 15*T1^9*T2^6 + 
      253*T1^10*T2^6 + 40*T1^11*T2^6 + 58*T1^12*T2^6 - 51*T1^13*T2^6 - 
      7*T1^14*T2^6 + 28*T2^7 + 55*T1*T2^7 - 139*T1^2*T2^7 - 84*T1^3*T2^7 - 
      296*T1^4*T2^7 - 17*T1^5*T2^7 - 187*T1^6*T2^7 - 28*T1^7*T2^7 - 
      168*T1^8*T2^7 - 123*T1^9*T2^7 - 177*T1^10*T2^7 - 124*T1^11*T2^7 - 
      54*T1^12*T2^7 + 15*T1^13*T2^7 + 27*T1^14*T2^7 - 7*T2^8 - 68*T1*T2^8 + 
      97*T1^2*T2^8 + 4*T1^3*T2^8 + 373*T1^4*T2^8 - 104*T1^5*T2^8 + 
      345*T1^6*T2^8 - 168*T1^7*T2^8 + 288*T1^8*T2^8 + 201*T1^10*T2^8 + 
      112*T1^11*T2^8 + 73*T1^12*T2^8 + 12*T1^13*T2^8 - 35*T1^14*T2^8 - 
      4*T1^15*T2^8 + T1^16*T2^8 + 24*T1*T2^9 + 43*T1^2*T2^9 - 125*T1^3*T2^9 - 
      70*T1^4*T2^9 - 220*T1^5*T2^9 + 15*T1^6*T2^9 - 123*T1^7*T2^9 - 
      140*T1^9*T2^9 - 59*T1^10*T2^9 - 145*T1^11*T2^9 - 48*T1^12*T2^9 - 
      40*T1^13*T2^9 + 29*T1^14*T2^9 + 15*T1^15*T2^9 - 4*T1^16*T2^9 - 
      35*T1^2*T2^10 - 19*T1^3*T2^10 + 182*T1^4*T2^10 - 40*T1^5*T2^10 + 
      253*T1^6*T2^10 - 177*T1^7*T2^10 + 201*T1^8*T2^10 - 59*T1^9*T2^10 + 
      109*T1^10*T2^10 + 79*T1^11*T2^10 + 39*T1^12*T2^10 + 44*T1^13*T2^10 - 
      10*T1^14*T2^10 - 27*T1^15*T2^10 + 7*T1^16*T2^10 + 40*T1^3*T2^11 - 
      29*T1^4*T2^11 - 125*T1^5*T2^11 + 40*T1^6*T2^11 - 124*T1^7*T2^11 + 
      112*T1^8*T2^11 - 145*T1^9*T2^11 + 79*T1^10*T2^11 - 128*T1^11*T2^11 + 
      8*T1^12*T2^11 - 34*T1^13*T2^11 - 17*T1^14*T2^11 + 39*T1^15*T2^11 - 
      10*T1^16*T2^11 - 33*T1^4*T2^12 + 51*T1^5*T2^12 + 58*T1^6*T2^12 - 
      54*T1^7*T2^12 + 73*T1^8*T2^12 - 48*T1^9*T2^12 + 39*T1^10*T2^12 + 
      8*T1^11*T2^12 + 33*T1^12*T2^12 - 14*T1^13*T2^12 + 46*T1^14*T2^12 - 
      45*T1^15*T2^12 + 11*T1^16*T2^12 + 20*T1^5*T2^13 - 51*T1^6*T2^13 + 
      15*T1^7*T2^13 + 12*T1^8*T2^13 - 40*T1^9*T2^13 + 44*T1^10*T2^13 - 
      34*T1^11*T2^13 - 14*T1^12*T2^13 + 34*T1^13*T2^13 - 55*T1^14*T2^13 + 
      41*T1^15*T2^13 - 10*T1^16*T2^13 - 7*T1^6*T2^14 + 27*T1^7*T2^14 - 
      35*T1^8*T2^14 + 29*T1^9*T2^14 - 10*T1^10*T2^14 - 17*T1^11*T2^14 + 
      46*T1^12*T2^14 - 55*T1^13*T2^14 + 49*T1^14*T2^14 - 29*T1^15*T2^14 + 
      7*T1^16*T2^14 - 4*T1^8*T2^15 + 15*T1^9*T2^15 - 27*T1^10*T2^15 + 
      39*T1^11*T2^15 - 45*T1^12*T2^15 + 41*T1^13*T2^15 - 29*T1^14*T2^15 + 
      16*T1^15*T2^15 - 4*T1^16*T2^15 + T1^8*T2^16 - 4*T1^9*T2^16 + 
      7*T1^10*T2^16 - 10*T1^11*T2^16 + 11*T1^12*T2^16 - 10*T1^13*T2^16 + 
      7*T1^14*T2^16 - 4*T1^15*T2^16 + T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 723] -> 
  {(2 - 4*T + 3*T^2 - T^3 + 3*T^4 - 4*T^5 + 2*T^6)/T^3, 
   (-31 + 62*T1 - 46*T1^2 + 15*T1^3 - 46*T1^4 + 62*T1^5 - 31*T1^6 + 62*T2 - 
     78*T1*T2 + 38*T1^3*T2 + 70*T1^4*T2 - 56*T1^5*T2 - 30*T1^6*T2 + 
     46*T1^7*T2 - 46*T2^2 + 98*T1^2*T2^2 - 78*T1^3*T2^2 - 46*T1^4*T2^2 - 
     42*T1^5*T2^2 + 110*T1^6*T2^2 - 48*T1^7*T2^2 - 22*T1^8*T2^2 + 15*T2^3 + 
     38*T1*T2^3 - 78*T1^2*T2^3 + 18*T1^3*T2^3 + 42*T1^4*T2^3 + 48*T1^5*T2^3 - 
     48*T1^6*T2^3 - 24*T1^7*T2^3 + 38*T1^8*T2^3 + 3*T1^9*T2^3 - 46*T2^4 + 
     70*T1*T2^4 - 46*T1^2*T2^4 + 42*T1^3*T2^4 - 33*T1^4*T2^4 - 25*T1^5*T2^4 + 
     15*T1^6*T2^4 + 26*T1^7*T2^4 - 6*T1^8*T2^4 - 10*T1^9*T2^4 + 
     2*T1^10*T2^4 + 62*T2^5 - 56*T1*T2^5 - 42*T1^2*T2^5 + 48*T1^3*T2^5 - 
     25*T1^4*T2^5 + 23*T1^5*T2^5 + 23*T1^6*T2^5 - 58*T1^7*T2^5 - 
     2*T1^8*T2^5 - 24*T1^9*T2^5 + 32*T1^10*T2^5 - 18*T1^11*T2^5 - 31*T2^6 - 
     30*T1*T2^6 + 110*T1^2*T2^6 - 48*T1^3*T2^6 + 15*T1^4*T2^6 + 
     23*T1^5*T2^6 - 72*T1^6*T2^6 + 45*T1^7*T2^6 + 41*T1^8*T2^6 + 
     48*T1^9*T2^6 - 38*T1^10*T2^6 + 2*T1^11*T2^6 + 17*T1^12*T2^6 + 
     46*T1*T2^7 - 48*T1^2*T2^7 - 24*T1^3*T2^7 + 26*T1^4*T2^7 - 58*T1^5*T2^7 + 
     45*T1^6*T2^7 + 45*T1^7*T2^7 - 91*T1^8*T2^7 - 24*T1^9*T2^7 - 
     6*T1^10*T2^7 + 40*T1^11*T2^7 - 34*T1^12*T2^7 - 22*T1^2*T2^8 + 
     38*T1^3*T2^8 - 6*T1^4*T2^8 - 2*T1^5*T2^8 + 41*T1^6*T2^8 - 91*T1^7*T2^8 + 
     89*T1^8*T2^8 - 18*T1^9*T2^8 + 34*T1^10*T2^8 - 42*T1^11*T2^8 + 
     26*T1^12*T2^8 + 3*T1^3*T2^9 - 10*T1^4*T2^9 - 24*T1^5*T2^9 + 
     48*T1^6*T2^9 - 24*T1^7*T2^9 - 18*T1^8*T2^9 - 18*T1^9*T2^9 + 
     30*T1^10*T2^9 - 10*T1^11*T2^9 - 9*T1^12*T2^9 + 2*T1^4*T2^10 + 
     32*T1^5*T2^10 - 38*T1^6*T2^10 - 6*T1^7*T2^10 + 34*T1^8*T2^10 + 
     30*T1^9*T2^10 - 26*T1^10*T2^10 - 16*T1^11*T2^10 + 26*T1^12*T2^10 - 
     18*T1^5*T2^11 + 2*T1^6*T2^11 + 40*T1^7*T2^11 - 42*T1^8*T2^11 - 
     10*T1^9*T2^11 - 16*T1^10*T2^11 + 50*T1^11*T2^11 - 34*T1^12*T2^11 + 
     17*T1^6*T2^12 - 34*T1^7*T2^12 + 26*T1^8*T2^12 - 9*T1^9*T2^12 + 
     26*T1^10*T2^12 - 34*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 724] -> 
  {-((2 - 8*T + 13*T^2 - 15*T^3 + 13*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 164*T1 - 266*T1^2 + 307*T1^3 - 266*T1^4 + 164*T1^5 - 41*T1^6 + 
      164*T2 - 524*T1*T2 + 532*T1^2*T2 - 372*T1^3*T2 + 76*T1^4*T2 + 
      196*T1^5*T2 - 364*T1^6*T2 + 132*T1^7*T2 - 266*T2^2 + 532*T1*T2^2 + 
      256*T1^2*T2^2 - 832*T1^3*T2^2 + 1246*T1^4*T2^2 - 1196*T1^5*T2^2 + 
      828*T1^6*T2^2 + 116*T1^7*T2^2 - 162*T1^8*T2^2 + 307*T2^3 - 
      372*T1*T2^3 - 832*T1^2*T2^3 + 872*T1^3*T2^3 - 782*T1^4*T2^3 + 
      240*T1^5*T2^3 + 218*T1^6*T2^3 - 962*T1^7*T2^3 + 140*T1^8*T2^3 + 
      127*T1^9*T2^3 - 266*T2^4 + 76*T1*T2^4 + 1246*T1^2*T2^4 - 
      782*T1^3*T2^4 + 669*T1^4*T2^4 - 217*T1^5*T2^4 + 133*T1^6*T2^4 + 
      298*T1^7*T2^4 + 678*T1^8*T2^4 - 276*T1^9*T2^4 - 58*T1^10*T2^4 + 
      164*T2^5 + 196*T1*T2^5 - 1196*T1^2*T2^5 + 240*T1^3*T2^5 - 
      217*T1^4*T2^5 + 33*T1^5*T2^5 - 259*T1^6*T2^5 - 48*T1^7*T2^5 - 
      666*T1^8*T2^5 - 130*T1^9*T2^5 + 212*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 364*T1*T2^6 + 828*T1^2*T2^6 + 218*T1^3*T2^6 + 133*T1^4*T2^6 - 
      259*T1^5*T2^6 + 420*T1^6*T2^6 - T1^7*T2^6 + 323*T1^8*T2^6 + 
      482*T1^9*T2^6 - 232*T1^10*T2^6 - 44*T1^11*T2^6 + 7*T1^12*T2^6 + 
      132*T1*T2^7 + 116*T1^2*T2^7 - 962*T1^3*T2^7 + 298*T1^4*T2^7 - 
      48*T1^5*T2^7 - T1^6*T2^7 - 293*T1^7*T2^7 + 121*T1^8*T2^7 - 
      608*T1^9*T2^7 + 104*T1^10*T2^7 + 132*T1^11*T2^7 - 28*T1^12*T2^7 - 
      162*T1^2*T2^8 + 140*T1^3*T2^8 + 678*T1^4*T2^8 - 666*T1^5*T2^8 + 
      323*T1^6*T2^8 + 121*T1^7*T2^8 - 213*T1^8*T2^8 + 414*T1^9*T2^8 + 
      110*T1^10*T2^8 - 212*T1^11*T2^8 + 46*T1^12*T2^8 + 127*T1^3*T2^9 - 
      276*T1^4*T2^9 - 130*T1^5*T2^9 + 482*T1^6*T2^9 - 608*T1^7*T2^9 + 
      414*T1^8*T2^9 - 172*T1^9*T2^9 - 260*T1^10*T2^9 + 236*T1^11*T2^9 - 
      53*T1^12*T2^9 - 58*T1^4*T2^10 + 212*T1^5*T2^10 - 232*T1^6*T2^10 + 
      104*T1^7*T2^10 + 110*T1^8*T2^10 - 260*T1^9*T2^10 + 340*T1^10*T2^10 - 
      204*T1^11*T2^10 + 46*T1^12*T2^10 + 4*T1^5*T2^11 - 44*T1^6*T2^11 + 
      132*T1^7*T2^11 - 212*T1^8*T2^11 + 236*T1^9*T2^11 - 204*T1^10*T2^11 + 
      116*T1^11*T2^11 - 28*T1^12*T2^11 + 7*T1^6*T2^12 - 28*T1^7*T2^12 + 
      46*T1^8*T2^12 - 53*T1^9*T2^12 + 46*T1^10*T2^12 - 28*T1^11*T2^12 + 
      7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 725] -> 
  {((1 - T + T^2 - T^3 + T^4)*(1 - T^2 + T^3 - T^4 + T^6))/T^5, 
   (-10 + 10*T1 - 10*T1^3 + 20*T1^4 - 30*T1^5 + 20*T1^6 - 10*T1^7 + 10*T1^9 - 
     10*T1^10 + 10*T2 - T1*T2 - 9*T1^2*T2 + 10*T1^3*T2 - 11*T1^4*T2 + 
     12*T1^5*T2 + 7*T1^6*T2 - 8*T1^7*T2 + 9*T1^8*T2 - 10*T1^9*T2 + T1^10*T2 + 
     9*T1^11*T2 - 9*T1*T2^2 + 9*T1^2*T2^2 - 9*T1^4*T2^2 + 18*T1^5*T2^2 - 
     27*T1^6*T2^2 + 18*T1^7*T2^2 - 9*T1^8*T2^2 + 9*T1^10*T2^2 - 
     9*T1^11*T2^2 - 10*T2^3 + 10*T1*T2^3 - 15*T1^3*T2^3 + 24*T1^4*T2^3 - 
     27*T1^5*T2^3 + 12*T1^6*T2^3 + 3*T1^7*T2^3 - 18*T1^8*T2^3 + 
     21*T1^9*T2^3 - 15*T1^10*T2^3 + 7*T1^12*T2^3 - 7*T1^13*T2^3 + 20*T2^4 - 
     11*T1*T2^4 - 9*T1^2*T2^4 + 24*T1^3*T2^4 - 25*T1^4*T2^4 + 29*T1^5*T2^4 - 
     6*T1^6*T2^4 - T1^7*T2^4 + 6*T1^8*T2^4 + T1^9*T2^4 - 5*T1^10*T2^4 + 
     18*T1^11*T2^4 - 7*T1^12*T2^4 - 5*T1^13*T2^4 + 12*T1^14*T2^4 - 30*T2^5 + 
     12*T1*T2^5 + 18*T1^2*T2^5 - 27*T1^3*T2^5 + 29*T1^4*T2^5 - 47*T1^5*T2^5 + 
     13*T1^6*T2^5 - 2*T1^7*T2^5 - 5*T1^8*T2^5 + 16*T1^9*T2^5 - 
     23*T1^10*T2^5 - T1^11*T2^5 - 12*T1^12*T2^5 + 12*T1^13*T2^5 + 
     3*T1^14*T2^5 - 15*T1^15*T2^5 + 20*T2^6 + 7*T1*T2^6 - 27*T1^2*T2^6 + 
     12*T1^3*T2^6 - 6*T1^4*T2^6 + 13*T1^5*T2^6 + 25*T1^6*T2^6 - 
     22*T1^7*T2^6 + 13*T1^8*T2^6 - 22*T1^9*T2^6 + 13*T1^10*T2^6 + 
     13*T1^11*T2^6 + 6*T1^12*T2^6 - 15*T1^14*T2^6 + 7*T1^15*T2^6 + 
     8*T1^16*T2^6 - 10*T2^7 - 8*T1*T2^7 + 18*T1^2*T2^7 + 3*T1^3*T2^7 - 
     T1^4*T2^7 - 2*T1^5*T2^7 - 22*T1^6*T2^7 + 13*T1^7*T2^7 + 2*T1^8*T2^7 + 
     9*T1^9*T2^7 + 9*T1^10*T2^7 - 18*T1^11*T2^7 - 3*T1^12*T2^7 - T1^13*T2^7 + 
     8*T1^14*T2^7 + 8*T1^15*T2^7 - 5*T1^16*T2^7 - 3*T1^17*T2^7 + 9*T1*T2^8 - 
     9*T1^2*T2^8 - 18*T1^3*T2^8 + 6*T1^4*T2^8 - 5*T1^5*T2^8 + 13*T1^6*T2^8 + 
     2*T1^7*T2^8 - 17*T1^8*T2^8 - 3*T1^9*T2^8 - 17*T1^10*T2^8 + 
     8*T1^11*T2^8 + 7*T1^12*T2^8 + T1^13*T2^8 - 6*T1^14*T2^8 - 
     12*T1^15*T2^8 - 3*T1^16*T2^8 + 3*T1^17*T2^8 + 10*T2^9 - 10*T1*T2^9 + 
     21*T1^3*T2^9 + T1^4*T2^9 + 16*T1^5*T2^9 - 22*T1^6*T2^9 + 9*T1^7*T2^9 - 
     3*T1^8*T2^9 + 15*T1^9*T2^9 + 21*T1^10*T2^9 - 3*T1^11*T2^9 - 
     10*T1^13*T2^9 + T1^14*T2^9 + 19*T1^15*T2^9 + 6*T1^16*T2^9 - T1^18*T2^9 + 
     T1^19*T2^9 - 10*T2^10 + T1*T2^10 + 9*T1^2*T2^10 - 15*T1^3*T2^10 - 
     5*T1^4*T2^10 - 23*T1^5*T2^10 + 13*T1^6*T2^10 + 9*T1^7*T2^10 - 
     17*T1^8*T2^10 + 21*T1^9*T2^10 - 48*T1^10*T2^10 + 11*T1^11*T2^10 - 
     9*T1^12*T2^10 + 7*T1^13*T2^10 + 13*T1^14*T2^10 - 17*T1^15*T2^10 - 
     13*T1^16*T2^10 - T1^17*T2^10 + T1^18*T2^10 - T1^19*T2^10 + 9*T1*T2^11 - 
     9*T1^2*T2^11 + 18*T1^4*T2^11 - T1^5*T2^11 + 13*T1^6*T2^11 - 
     18*T1^7*T2^11 + 8*T1^8*T2^11 - 3*T1^9*T2^11 + 11*T1^10*T2^11 + 
     17*T1^11*T2^11 - 3*T1^12*T2^11 - T1^13*T2^11 - 6*T1^14*T2^11 - 
     2*T1^15*T2^11 + 17*T1^16*T2^11 + 3*T1^17*T2^11 + 7*T1^3*T2^12 - 
     7*T1^4*T2^12 - 12*T1^5*T2^12 + 6*T1^6*T2^12 - 3*T1^7*T2^12 + 
     7*T1^8*T2^12 - 9*T1^10*T2^12 - 3*T1^11*T2^12 - 9*T1^12*T2^12 + 
     6*T1^13*T2^12 + T1^14*T2^12 + 3*T1^15*T2^12 - 6*T1^16*T2^12 - 
     6*T1^17*T2^12 - T1^18*T2^12 + T1^19*T2^12 - 7*T1^3*T2^13 - 
     5*T1^4*T2^13 + 12*T1^5*T2^13 - T1^7*T2^13 + T1^8*T2^13 - 10*T1^9*T2^13 + 
     7*T1^10*T2^13 - T1^11*T2^13 + 6*T1^12*T2^13 + 3*T1^13*T2^13 - 
     6*T1^14*T2^13 - T1^16*T2^13 + 5*T1^17*T2^13 + 2*T1^18*T2^13 - 
     2*T1^19*T2^13 + 12*T1^4*T2^14 + 3*T1^5*T2^14 - 15*T1^6*T2^14 + 
     8*T1^7*T2^14 - 6*T1^8*T2^14 + T1^9*T2^14 + 13*T1^10*T2^14 - 
     6*T1^11*T2^14 + T1^12*T2^14 - 6*T1^13*T2^14 + T1^14*T2^14 + 
     T1^15*T2^14 + 6*T1^16*T2^14 - 4*T1^17*T2^14 - 3*T1^18*T2^14 + 
     3*T1^19*T2^14 - 15*T1^5*T2^15 + 7*T1^6*T2^15 + 8*T1^7*T2^15 - 
     12*T1^8*T2^15 + 19*T1^9*T2^15 - 17*T1^10*T2^15 - 2*T1^11*T2^15 + 
     3*T1^12*T2^15 + T1^14*T2^15 + 7*T1^15*T2^15 - 11*T1^16*T2^15 + 
     3*T1^17*T2^15 + 2*T1^18*T2^15 - 2*T1^19*T2^15 + 8*T1^6*T2^16 - 
     5*T1^7*T2^16 - 3*T1^8*T2^16 + 6*T1^9*T2^16 - 13*T1^10*T2^16 + 
     17*T1^11*T2^16 - 6*T1^12*T2^16 - T1^13*T2^16 + 6*T1^14*T2^16 - 
     11*T1^15*T2^16 + 7*T1^16*T2^16 - T1^18*T2^16 + T1^19*T2^16 - 
     3*T1^7*T2^17 + 3*T1^8*T2^17 - T1^10*T2^17 + 3*T1^11*T2^17 - 
     6*T1^12*T2^17 + 5*T1^13*T2^17 - 4*T1^14*T2^17 + 3*T1^15*T2^17 - 
     T1^17*T2^17 - T1^9*T2^18 + T1^10*T2^18 - T1^12*T2^18 + 2*T1^13*T2^18 - 
     3*T1^14*T2^18 + 2*T1^15*T2^18 - T1^16*T2^18 + T1^18*T2^18 - 
     T1^19*T2^18 + T1^9*T2^19 - T1^10*T2^19 + T1^12*T2^19 - 2*T1^13*T2^19 + 
     3*T1^14*T2^19 - 2*T1^15*T2^19 + T1^16*T2^19 - T1^18*T2^19 + T1^19*T2^19)/
    (T1^11*T2^10*(-1 + T1*T2))}, Knot[12, NonAlternating, 726] -> 
  {-(((-2 + T)*(-1 + 2*T)*(2 - 3*T + 2*T^2))/T^2), 
   (-2*(-104 + 416*T1 - 596*T1^2 + 416*T1^3 - 104*T1^4 + 416*T2 - 
      1376*T1*T2 + 1224*T1^2*T2 - 24*T1^3*T2 - 736*T1^4*T2 + 288*T1^5*T2 - 
      596*T2^2 + 1224*T1*T2^2 + 1019*T1^2*T2^2 - 3312*T1^3*T2^2 + 
      2767*T1^4*T2^2 - 248*T1^5*T2^2 - 228*T1^6*T2^2 + 416*T2^3 - 
      24*T1*T2^3 - 3312*T1^2*T2^3 + 4090*T1^3*T2^3 - 1166*T1^4*T2^3 - 
      1840*T1^5*T2^3 + 776*T1^6*T2^3 + 32*T1^7*T2^3 - 104*T2^4 - 
      736*T1*T2^4 + 2767*T1^2*T2^4 - 1166*T1^3*T2^4 - 2142*T1^4*T2^4 + 
      3186*T1^5*T2^4 - 593*T1^6*T2^4 - 224*T1^7*T2^4 + 24*T1^8*T2^4 + 
      288*T1*T2^5 - 248*T1^2*T2^5 - 1840*T1^3*T2^5 + 3186*T1^4*T2^5 - 
      2070*T1^5*T2^5 - 368*T1^6*T2^5 + 552*T1^7*T2^5 - 96*T1^8*T2^5 - 
      228*T1^2*T2^6 + 776*T1^3*T2^6 - 593*T1^4*T2^6 - 368*T1^5*T2^6 + 
      1155*T1^6*T2^6 - 696*T1^7*T2^6 + 140*T1^8*T2^6 + 32*T1^3*T2^7 - 
      224*T1^4*T2^7 + 552*T1^5*T2^7 - 696*T1^6*T2^7 + 416*T1^7*T2^7 - 
      96*T1^8*T2^7 + 24*T1^4*T2^8 - 96*T1^5*T2^8 + 140*T1^6*T2^8 - 
      96*T1^7*T2^8 + 24*T1^8*T2^8))/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 727] -> 
  {(2 - 10*T + 21*T^2 - 25*T^3 + 21*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-31 + 155*T1 - 324*T1^2 + 385*T1^3 - 324*T1^4 + 155*T1^5 - 31*T1^6 + 
     155*T2 - 660*T1*T2 + 1045*T1^2*T2 - 725*T1^3*T2 + 195*T1^4*T2 + 
     425*T1^5*T2 - 420*T1^6*T2 + 115*T1^7*T2 - 324*T2^2 + 1045*T1*T2^2 - 
     657*T1^2*T2^2 - 1242*T1^3*T2^2 + 2199*T1^4*T2^2 - 2502*T1^5*T2^2 + 
     939*T1^6*T2^2 + 205*T1^7*T2^2 - 156*T1^8*T2^2 + 385*T2^3 - 725*T1*T2^3 - 
     1242*T1^2*T2^3 + 4084*T1^3*T2^3 - 3319*T1^4*T2^3 + 1691*T1^5*T2^3 + 
     1624*T1^6*T2^3 - 1872*T1^7*T2^3 + 355*T1^8*T2^3 + 85*T1^9*T2^3 - 
     324*T2^4 + 195*T1*T2^4 + 2199*T1^2*T2^4 - 3319*T1^3*T2^4 - 
     678*T1^4*T2^4 + 3246*T1^5*T2^4 - 4986*T1^6*T2^4 + 1981*T1^7*T2^4 + 
     727*T1^8*T2^4 - 485*T1^9*T2^4 + 12*T1^10*T2^4 + 155*T2^5 + 425*T1*T2^5 - 
     2502*T1^2*T2^5 + 1691*T1^3*T2^5 + 3246*T1^4*T2^5 - 3789*T1^5*T2^5 + 
     2031*T1^6*T2^5 + 1881*T1^7*T2^5 - 2739*T1^8*T2^5 + 648*T1^9*T2^5 + 
     165*T1^10*T2^5 - 45*T1^11*T2^5 - 31*T2^6 - 420*T1*T2^6 + 939*T1^2*T2^6 + 
     1624*T1^3*T2^6 - 4986*T1^4*T2^6 + 2031*T1^5*T2^6 + 2052*T1^6*T2^6 - 
     3839*T1^7*T2^6 + 2276*T1^8*T2^6 + 604*T1^9*T2^6 - 793*T1^10*T2^6 + 
     140*T1^11*T2^6 + 17*T1^12*T2^6 + 115*T1*T2^7 + 205*T1^2*T2^7 - 
     1872*T1^3*T2^7 + 1981*T1^4*T2^7 + 1881*T1^5*T2^7 - 3839*T1^6*T2^7 + 
     1981*T1^7*T2^7 + 516*T1^8*T2^7 - 2449*T1^9*T2^7 + 1278*T1^10*T2^7 - 
     55*T1^11*T2^7 - 85*T1^12*T2^7 - 156*T1^2*T2^8 + 355*T1^3*T2^8 + 
     727*T1^4*T2^8 - 2739*T1^5*T2^8 + 2276*T1^6*T2^8 + 516*T1^7*T2^8 - 
     2032*T1^8*T2^8 + 2561*T1^9*T2^8 - 745*T1^10*T2^8 - 325*T1^11*T2^8 + 
     180*T1^12*T2^8 + 85*T1^3*T2^9 - 485*T1^4*T2^9 + 648*T1^5*T2^9 + 
     604*T1^6*T2^9 - 2449*T1^7*T2^9 + 2561*T1^8*T2^9 - 1856*T1^9*T2^9 + 
     18*T1^10*T2^9 + 595*T1^11*T2^9 - 215*T1^12*T2^9 + 12*T1^4*T2^10 + 
     165*T1^5*T2^10 - 793*T1^6*T2^10 + 1278*T1^7*T2^10 - 745*T1^8*T2^10 + 
     18*T1^9*T2^10 + 803*T1^10*T2^10 - 675*T1^11*T2^10 + 180*T1^12*T2^10 - 
     45*T1^5*T2^11 + 140*T1^6*T2^11 - 55*T1^7*T2^11 - 325*T1^8*T2^11 + 
     595*T1^9*T2^11 - 675*T1^10*T2^11 + 380*T1^11*T2^11 - 85*T1^12*T2^11 + 
     17*T1^6*T2^12 - 85*T1^7*T2^12 + 180*T1^8*T2^12 - 215*T1^9*T2^12 + 
     180*T1^10*T2^12 - 85*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 728] -> 
  {-((1 - 5*T + 13*T^2 - 22*T^3 + 25*T^4 - 22*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 65*T1^2 + 110*T1^3 - 125*T1^4 + 110*T1^5 - 
      65*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 225*T1^2*T2 - 
      290*T1^3*T2 + 185*T1^4*T2 - 50*T1^5*T2 - 115*T1^6*T2 + 135*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 65*T2^2 + 225*T1*T2^2 - 385*T1^2*T2^2 + 
      323*T1^3*T2^2 + 85*T1^4*T2^2 - 239*T1^5*T2^2 + 397*T1^6*T2^2 - 
      119*T1^7*T2^2 - 73*T1^8*T2^2 + 95*T1^9*T2^2 - 39*T1^10*T2^2 + 
      110*T2^3 - 290*T1*T2^3 + 323*T1^2*T2^3 + 57*T1^3*T2^3 - 729*T1^4*T2^3 + 
      410*T1^5*T2^3 - 335*T1^6*T2^3 - 434*T1^7*T2^3 + 405*T1^8*T2^3 - 
      145*T1^9*T2^3 - 25*T1^10*T2^3 + 44*T1^11*T2^3 - 125*T2^4 + 
      185*T1*T2^4 + 85*T1^2*T2^4 - 729*T1^3*T2^4 + 1124*T1^4*T2^4 + 
      242*T1^5*T2^4 - 344*T1^6*T2^4 + 1182*T1^7*T2^4 - 216*T1^8*T2^4 - 
      289*T1^9*T2^4 + 285*T1^10*T2^4 - 95*T1^11*T2^4 - 25*T1^12*T2^4 + 
      110*T2^5 - 50*T1*T2^5 - 239*T1^2*T2^5 + 410*T1^3*T2^5 + 242*T1^4*T2^5 - 
      2267*T1^5*T2^5 + 1199*T1^6*T2^5 - 1098*T1^7*T2^5 - 977*T1^8*T2^5 + 
      969*T1^9*T2^5 - 329*T1^10*T2^5 - 80*T1^11*T2^5 + 125*T1^12*T2^5 - 
      65*T2^6 - 115*T1*T2^6 + 397*T1^2*T2^6 - 335*T1^3*T2^6 - 344*T1^4*T2^6 + 
      1199*T1^5*T2^6 + 1567*T1^6*T2^6 - 1769*T1^7*T2^6 + 2823*T1^8*T2^6 - 
      1007*T1^9*T2^6 - 274*T1^10*T2^6 + 419*T1^11*T2^6 - 139*T1^12*T2^6 - 
      65*T1^13*T2^6 + 13*T1^14*T2^6 + 25*T2^7 + 135*T1*T2^7 - 119*T1^2*T2^7 - 
      434*T1^3*T2^7 + 1182*T1^4*T2^7 - 1098*T1^5*T2^7 - 1769*T1^6*T2^7 + 
      906*T1^7*T2^7 - 554*T1^8*T2^7 - 1239*T1^9*T2^7 + 1381*T1^10*T2^7 - 
      397*T1^11*T2^7 - 149*T1^12*T2^7 + 193*T1^13*T2^7 - 15*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 73*T1^2*T2^8 + 405*T1^3*T2^8 - 
      216*T1^4*T2^8 - 977*T1^5*T2^8 + 2823*T1^6*T2^8 - 554*T1^7*T2^8 - 
      696*T1^8*T2^8 + 1330*T1^9*T2^8 - 605*T1^10*T2^8 - 659*T1^11*T2^8 + 
      632*T1^12*T2^8 - 233*T1^13*T2^8 - 43*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 95*T1^2*T2^9 - 145*T1^3*T2^9 - 
      289*T1^4*T2^9 + 969*T1^5*T2^9 - 1007*T1^6*T2^9 - 1239*T1^7*T2^9 + 
      1330*T1^8*T2^9 - 130*T1^9*T2^9 - 709*T1^10*T2^9 + 1472*T1^11*T2^9 - 
      610*T1^12*T2^9 - 4*T1^13*T2^9 + 167*T1^14*T2^9 - 55*T1^15*T2^9 - 
      15*T1^16*T2^9 - 39*T1^2*T2^10 - 25*T1^3*T2^10 + 285*T1^4*T2^10 - 
      329*T1^5*T2^10 - 274*T1^6*T2^10 + 1381*T1^7*T2^10 - 605*T1^8*T2^10 - 
      709*T1^9*T2^10 + 651*T1^10*T2^10 - 825*T1^11*T2^10 - 204*T1^12*T2^10 + 
      425*T1^13*T2^10 - 251*T1^14*T2^10 + 25*T1^15*T2^10 + 39*T1^16*T2^10 + 
      44*T1^3*T2^11 - 95*T1^4*T2^11 - 80*T1^5*T2^11 + 419*T1^6*T2^11 - 
      397*T1^7*T2^11 - 659*T1^8*T2^11 + 1472*T1^9*T2^11 - 825*T1^10*T2^11 + 
      631*T1^11*T2^11 + 330*T1^12*T2^11 - 320*T1^13*T2^11 + 79*T1^14*T2^11 + 
      80*T1^15*T2^11 - 66*T1^16*T2^11 - 25*T1^4*T2^12 + 125*T1^5*T2^12 - 
      139*T1^6*T2^12 - 149*T1^7*T2^12 + 632*T1^8*T2^12 - 610*T1^9*T2^12 - 
      204*T1^10*T2^12 + 330*T1^11*T2^12 - 708*T1^12*T2^12 + 291*T1^13*T2^12 + 
      61*T1^14*T2^12 - 155*T1^15*T2^12 + 75*T1^16*T2^12 - 65*T1^6*T2^13 + 
      193*T1^7*T2^13 - 233*T1^8*T2^13 - 4*T1^9*T2^13 + 425*T1^10*T2^13 - 
      320*T1^11*T2^13 + 291*T1^12*T2^13 + 115*T1^13*T2^13 - 275*T1^14*T2^13 + 
      200*T1^15*T2^13 - 66*T1^16*T2^13 + 13*T1^6*T2^14 - 15*T1^7*T2^14 - 
      43*T1^8*T2^14 + 167*T1^9*T2^14 - 251*T1^10*T2^14 + 79*T1^11*T2^14 + 
      61*T1^12*T2^14 - 275*T1^13*T2^14 + 269*T1^14*T2^14 - 145*T1^15*T2^14 + 
      39*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 55*T1^9*T2^15 + 
      25*T1^10*T2^15 + 80*T1^11*T2^15 - 155*T1^12*T2^15 + 200*T1^13*T2^15 - 
      145*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 39*T1^10*T2^16 - 66*T1^11*T2^16 + 75*T1^12*T2^16 - 
      66*T1^13*T2^16 + 39*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 729] -> 
  {-((2 - 9*T + 16*T^2 - 19*T^3 + 16*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 326*T1^2 + 387*T1^3 - 326*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 797*T1^2*T2 - 561*T1^3*T2 + 69*T1^4*T2 + 
      347*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 326*T2^2 + 797*T1*T2^2 + 
      204*T1^2*T2^2 - 1344*T1^3*T2^2 + 2148*T1^4*T2^2 - 1984*T1^5*T2^2 + 
      1100*T1^6*T2^2 + 221*T1^7*T2^2 - 198*T1^8*T2^2 + 387*T2^3 - 
      561*T1*T2^3 - 1344*T1^2*T2^3 + 1978*T1^3*T2^3 - 1748*T1^4*T2^3 + 
      442*T1^5*T2^3 + 772*T1^6*T2^3 - 1584*T1^7*T2^3 + 177*T1^8*T2^3 + 
      159*T1^9*T2^3 - 326*T2^4 + 69*T1*T2^4 + 2148*T1^2*T2^4 - 
      1748*T1^3*T2^4 + 941*T1^4*T2^4 + 329*T1^5*T2^4 - 687*T1^6*T2^4 + 
      608*T1^7*T2^4 + 1118*T1^8*T2^4 - 399*T1^9*T2^4 - 70*T1^10*T2^4 + 
      184*T2^5 + 347*T1*T2^5 - 1984*T1^2*T2^5 + 442*T1^3*T2^5 + 
      329*T1^4*T2^5 - 740*T1^5*T2^5 + 90*T1^6*T2^5 + 361*T1^7*T2^5 - 
      1416*T1^8*T2^5 - 144*T1^9*T2^5 + 293*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 480*T1*T2^6 + 1100*T1^2*T2^6 + 772*T1^3*T2^6 - 
      687*T1^4*T2^6 + 90*T1^5*T2^6 + 744*T1^6*T2^6 - 710*T1^7*T2^6 + 
      709*T1^8*T2^6 + 892*T1^9*T2^6 - 408*T1^10*T2^6 - 48*T1^11*T2^6 + 
      7*T1^12*T2^6 + 148*T1*T2^7 + 221*T1^2*T2^7 - 1584*T1^3*T2^7 + 
      608*T1^4*T2^7 + 361*T1^5*T2^7 - 710*T1^6*T2^7 + 120*T1^7*T2^7 + 
      393*T1^8*T2^7 - 1250*T1^9*T2^7 + 256*T1^10*T2^7 + 167*T1^11*T2^7 - 
      32*T1^12*T2^7 - 198*T1^2*T2^8 + 177*T1^3*T2^8 + 1118*T1^4*T2^8 - 
      1416*T1^5*T2^8 + 709*T1^6*T2^8 + 393*T1^7*T2^8 - 919*T1^8*T2^8 + 
      940*T1^9*T2^8 + 88*T1^10*T2^8 - 291*T1^11*T2^8 + 58*T1^12*T2^8 + 
      159*T1^3*T2^9 - 399*T1^4*T2^9 - 144*T1^5*T2^9 + 892*T1^6*T2^9 - 
      1250*T1^7*T2^9 + 940*T1^8*T2^9 - 314*T1^9*T2^9 - 384*T1^10*T2^9 + 
      339*T1^11*T2^9 - 69*T1^12*T2^9 - 70*T1^4*T2^10 + 293*T1^5*T2^10 - 
      408*T1^6*T2^10 + 256*T1^7*T2^10 + 88*T1^8*T2^10 - 384*T1^9*T2^10 + 
      488*T1^10*T2^10 - 283*T1^11*T2^10 + 58*T1^12*T2^10 + 4*T1^5*T2^11 - 
      48*T1^6*T2^11 + 167*T1^7*T2^11 - 291*T1^8*T2^11 + 339*T1^9*T2^11 - 
      283*T1^10*T2^11 + 150*T1^11*T2^11 - 32*T1^12*T2^11 + 7*T1^6*T2^12 - 
      32*T1^7*T2^12 + 58*T1^8*T2^12 - 69*T1^9*T2^12 + 58*T1^10*T2^12 - 
      32*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 730] -> 
  {(1 - 4*T + 11*T^2 - 15*T^3 + 11*T^4 - 4*T^5 + T^6)/T^3, 
   (-4 + 16*T1 - 44*T1^2 + 60*T1^3 - 44*T1^4 + 16*T1^5 - 4*T1^6 + 16*T2 - 
     52*T1*T2 + 130*T1^2*T2 - 109*T1^3*T2 - 5*T1^4*T2 + 70*T1^5*T2 - 
     32*T1^6*T2 + 12*T1^7*T2 - 44*T2^2 + 130*T1*T2^2 - 331*T1^2*T2^2 + 
     232*T1^3*T2^2 - 15*T1^4*T2^2 - 10*T1^5*T2^2 - 111*T1^6*T2^2 + 
     42*T1^7*T2^2 - 22*T1^8*T2^2 + 60*T2^3 - 109*T1*T2^3 + 232*T1^2*T2^3 + 
     247*T1^3*T2^3 - 431*T1^4*T2^3 + 38*T1^5*T2^3 + 307*T1^6*T2^3 - 
     43*T1^7*T2^3 + 27*T1^8*T2^3 + 15*T1^9*T2^3 - 44*T2^4 - 5*T1*T2^4 - 
     15*T1^2*T2^4 - 431*T1^3*T2^4 - 306*T1^4*T2^4 + 1324*T1^5*T2^4 - 
     1186*T1^6*T2^4 + 109*T1^7*T2^4 - 11*T1^8*T2^4 - 61*T1^9*T2^4 + 16*T2^5 + 
     70*T1*T2^5 - 10*T1^2*T2^5 + 38*T1^3*T2^5 + 1324*T1^4*T2^5 - 
     1829*T1^5*T2^5 + 581*T1^6*T2^5 + 741*T1^7*T2^5 - 289*T1^8*T2^5 + 
     133*T1^9*T2^5 + 18*T1^10*T2^5 - 4*T1^11*T2^5 - 4*T2^6 - 32*T1*T2^6 - 
     111*T1^2*T2^6 + 307*T1^3*T2^6 - 1186*T1^4*T2^6 + 581*T1^5*T2^6 + 
     996*T1^6*T2^6 - 1465*T1^7*T2^6 + 340*T1^8*T2^6 - 47*T1^9*T2^6 - 
     59*T1^10*T2^6 + 8*T1^11*T2^6 + 2*T1^12*T2^6 + 12*T1*T2^7 + 
     42*T1^2*T2^7 - 43*T1^3*T2^7 + 109*T1^4*T2^7 + 741*T1^5*T2^7 - 
     1465*T1^6*T2^7 + 945*T1^7*T2^7 + 158*T1^8*T2^7 - 218*T1^9*T2^7 + 
     100*T1^10*T2^7 - 10*T1^11*T2^7 - 8*T1^12*T2^7 - 22*T1^2*T2^8 + 
     27*T1^3*T2^8 - 11*T1^4*T2^8 - 289*T1^5*T2^8 + 340*T1^6*T2^8 + 
     158*T1^7*T2^8 - 540*T1^8*T2^8 + 251*T1^9*T2^8 - 7*T1^10*T2^8 - 
     29*T1^11*T2^8 + 22*T1^12*T2^8 + 15*T1^3*T2^9 - 61*T1^4*T2^9 + 
     133*T1^5*T2^9 - 47*T1^6*T2^9 - 218*T1^7*T2^9 + 251*T1^8*T2^9 + 
     13*T1^9*T2^9 - 142*T1^10*T2^9 + 75*T1^11*T2^9 - 30*T1^12*T2^9 + 
     18*T1^5*T2^10 - 59*T1^6*T2^10 + 100*T1^7*T2^10 - 7*T1^8*T2^10 - 
     142*T1^9*T2^10 + 161*T1^10*T2^10 - 70*T1^11*T2^10 + 22*T1^12*T2^10 - 
     4*T1^5*T2^11 + 8*T1^6*T2^11 - 10*T1^7*T2^11 - 29*T1^8*T2^11 + 
     75*T1^9*T2^11 - 70*T1^10*T2^11 + 28*T1^11*T2^11 - 8*T1^12*T2^11 + 
     2*T1^6*T2^12 - 8*T1^7*T2^12 + 22*T1^8*T2^12 - 30*T1^9*T2^12 + 
     22*T1^10*T2^12 - 8*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 731] -> 
  {-(((-2 + 5*T - 3*T^2 + T^3)*(-1 + 3*T - 5*T^2 + 2*T^3))/T^3), 
   -((-23 + 126*T1 - 320*T1^2 + 445*T1^3 - 320*T1^4 + 126*T1^5 - 23*T1^6 + 
      126*T2 - 608*T1*T2 + 1300*T1^2*T2 - 1294*T1^3*T2 + 180*T1^4*T2 + 
      442*T1^5*T2 - 322*T1^6*T2 + 82*T1^7*T2 - 320*T2^2 + 1300*T1*T2^2 - 
      2043*T1^2*T2^2 + 390*T1^3*T2^2 + 2933*T1^4*T2^2 - 2746*T1^5*T2^2 + 
      869*T1^6*T2^2 + 68*T1^7*T2^2 - 96*T1^8*T2^2 + 445*T2^3 - 1294*T1*T2^3 + 
      390*T1^2*T2^3 + 4416*T1^3*T2^3 - 8331*T1^4*T2^3 + 3179*T1^5*T2^3 + 
      1998*T1^6*T2^3 - 2158*T1^7*T2^3 + 664*T1^8*T2^3 - 23*T1^9*T2^3 - 
      320*T2^4 + 180*T1*T2^4 + 2933*T1^2*T2^4 - 8331*T1^3*T2^4 + 
      7035*T1^4*T2^4 + 5719*T1^5*T2^4 - 11165*T1^6*T2^4 + 5241*T1^7*T2^4 - 
      233*T1^8*T2^4 - 568*T1^9*T2^4 + 128*T1^10*T2^4 + 126*T2^5 + 
      442*T1*T2^5 - 2746*T1^2*T2^5 + 3179*T1^3*T2^5 + 5719*T1^4*T2^5 - 
      20166*T1^5*T2^5 + 18392*T1^6*T2^5 - 2065*T1^7*T2^5 - 4207*T1^8*T2^5 + 
      2154*T1^9*T2^5 - 196*T1^10*T2^5 - 94*T1^11*T2^5 - 23*T2^6 - 
      322*T1*T2^6 + 869*T1^2*T2^6 + 1998*T1^3*T2^6 - 11165*T1^4*T2^6 + 
      18392*T1^5*T2^6 - 7428*T1^6*T2^6 - 13192*T1^7*T2^6 + 11399*T1^8*T2^6 - 
      2634*T1^9*T2^6 - 647*T1^10*T2^6 + 382*T1^11*T2^6 + 25*T1^12*T2^6 + 
      82*T1*T2^7 + 68*T1^2*T2^7 - 2158*T1^3*T2^7 + 5241*T1^4*T2^7 - 
      2065*T1^5*T2^7 - 13192*T1^6*T2^7 + 25366*T1^7*T2^7 - 9849*T1^8*T2^7 - 
      2145*T1^9*T2^7 + 2742*T1^10*T2^7 - 570*T1^11*T2^7 - 138*T1^12*T2^7 - 
      96*T1^2*T2^8 + 664*T1^3*T2^8 - 233*T1^4*T2^8 - 4207*T1^5*T2^8 + 
      11399*T1^6*T2^8 - 9849*T1^7*T2^8 - 6801*T1^8*T2^8 + 9365*T1^9*T2^8 - 
      3399*T1^10*T2^8 - 84*T1^11*T2^8 + 352*T1^12*T2^8 - 23*T1^3*T2^9 - 
      568*T1^4*T2^9 + 2154*T1^5*T2^9 - 2634*T1^6*T2^9 - 2145*T1^7*T2^9 + 
      9365*T1^8*T2^9 - 5052*T1^9*T2^9 - 394*T1^10*T2^9 + 1390*T1^11*T2^9 - 
      491*T1^12*T2^9 + 128*T1^4*T2^10 - 196*T1^5*T2^10 - 647*T1^6*T2^10 + 
      2742*T1^7*T2^10 - 3399*T1^8*T2^10 - 394*T1^9*T2^10 + 2265*T1^10*T2^10 - 
      1428*T1^11*T2^10 + 352*T1^12*T2^10 - 94*T1^5*T2^11 + 382*T1^6*T2^11 - 
      570*T1^7*T2^11 - 84*T1^8*T2^11 + 1390*T1^9*T2^11 - 1428*T1^10*T2^11 + 
      668*T1^11*T2^11 - 138*T1^12*T2^11 + 25*T1^6*T2^12 - 138*T1^7*T2^12 + 
      352*T1^8*T2^12 - 491*T1^9*T2^12 + 352*T1^10*T2^12 - 138*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 732] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 112*T1^2 + 156*T1^3 - 112*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 770*T1^2*T2 - 649*T1^3*T2 - 46*T1^4*T2 + 437*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 112*T2^2 + 770*T1*T2^2 - 995*T1^2*T2^2 - 
     2000*T1^3*T2^2 + 4839*T1^4*T2^2 - 3680*T1^5*T2^2 + 517*T1^6*T2^2 + 
     266*T1^7*T2^2 - 56*T1^8*T2^2 + 156*T2^3 - 649*T1*T2^3 - 2000*T1^2*T2^3 + 
     10745*T1^3*T2^3 - 11359*T1^4*T2^3 + 1196*T1^5*T2^3 + 6101*T1^6*T2^3 - 
     2756*T1^7*T2^3 + 152*T1^8*T2^3 + 39*T1^9*T2^3 - 112*T2^4 - 46*T1*T2^4 + 
     4839*T1^2*T2^4 - 11359*T1^3*T2^4 - 3145*T1^4*T2^4 + 22975*T1^5*T2^4 - 
     21181*T1^6*T2^4 + 3227*T1^7*T2^4 + 1657*T1^8*T2^4 - 352*T1^9*T2^4 + 
     36*T2^5 + 437*T1*T2^5 - 3680*T1^2*T2^5 + 1196*T1^3*T2^5 + 
     22975*T1^4*T2^5 - 33495*T1^5*T2^5 + 12147*T1^6*T2^5 + 11551*T1^7*T2^5 - 
     7297*T1^8*T2^5 + 772*T1^9*T2^5 + 86*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 517*T1^2*T2^6 + 6101*T1^3*T2^6 - 21181*T1^4*T2^6 + 
     12147*T1^5*T2^6 + 15900*T1^6*T2^6 - 26199*T1^7*T2^6 + 8687*T1^8*T2^6 + 
     827*T1^9*T2^6 - 663*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 266*T1^2*T2^7 - 2756*T1^3*T2^7 + 3227*T1^4*T2^7 + 
     11551*T1^5*T2^7 - 26199*T1^6*T2^7 + 19443*T1^7*T2^7 + 127*T1^8*T2^7 - 
     5266*T1^9*T2^7 + 1696*T1^10*T2^7 - 85*T1^11*T2^7 - 18*T1^12*T2^7 - 
     56*T1^2*T2^8 + 152*T1^3*T2^8 + 1657*T1^4*T2^8 - 7297*T1^5*T2^8 + 
     8687*T1^6*T2^8 + 127*T1^7*T2^8 - 9349*T1^8*T2^8 + 7289*T1^9*T2^8 - 
     1525*T1^10*T2^8 - 154*T1^11*T2^8 + 56*T1^12*T2^8 + 39*T1^3*T2^9 - 
     352*T1^4*T2^9 + 772*T1^5*T2^9 + 827*T1^6*T2^9 - 5266*T1^7*T2^9 + 
     7289*T1^8*T2^9 - 3817*T1^9*T2^9 + 16*T1^10*T2^9 + 449*T1^11*T2^9 - 
     78*T1^12*T2^9 + 86*T1^5*T2^10 - 663*T1^6*T2^10 + 1696*T1^7*T2^10 - 
     1525*T1^8*T2^10 + 16*T1^9*T2^10 + 849*T1^10*T2^10 - 418*T1^11*T2^10 + 
     56*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 85*T1^7*T2^11 - 
     154*T1^8*T2^11 + 449*T1^9*T2^11 - 418*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 56*T1^8*T2^12 - 
     78*T1^9*T2^12 + 56*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 733] -> 
  {(2 - 12*T + 31*T^2 - 41*T^3 + 31*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 508*T1^2 + 671*T1^3 - 508*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1028*T1*T2 + 2147*T1^2*T2 - 1719*T1^3*T2 + 9*T1^4*T2 + 
     1115*T1^5*T2 - 692*T1^6*T2 + 149*T1^7*T2 - 508*T2^2 + 2147*T1*T2^2 - 
     2776*T1^2*T2^2 - 1819*T1^3*T2^2 + 6304*T1^4*T2^2 - 5415*T1^5*T2^2 + 
     820*T1^6*T2^2 + 659*T1^7*T2^2 - 260*T1^8*T2^2 + 671*T2^3 - 
     1719*T1*T2^3 - 1819*T1^2*T2^3 + 12626*T1^3*T2^3 - 13617*T1^4*T2^3 + 
     2589*T1^5*T2^3 + 7208*T1^6*T2^3 - 4237*T1^7*T2^3 + 489*T1^8*T2^3 + 
     179*T1^9*T2^3 - 508*T2^4 + 9*T1*T2^4 + 6304*T1^2*T2^4 - 
     13617*T1^3*T2^4 - 1111*T1^4*T2^4 + 21199*T1^5*T2^4 - 22455*T1^6*T2^4 + 
     4751*T1^7*T2^4 + 2184*T1^8*T2^4 - 999*T1^9*T2^4 - 12*T1^10*T2^4 + 
     197*T2^5 + 1115*T1*T2^5 - 5415*T1^2*T2^5 + 2589*T1^3*T2^5 + 
     21199*T1^4*T2^5 - 31675*T1^5*T2^5 + 13529*T1^6*T2^5 + 10814*T1^7*T2^5 - 
     9293*T1^8*T2^5 + 1715*T1^9*T2^5 + 323*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 692*T1*T2^6 + 820*T1^2*T2^6 + 7208*T1^3*T2^6 - 
     22455*T1^4*T2^6 + 13529*T1^5*T2^6 + 13404*T1^6*T2^6 - 25793*T1^7*T2^6 + 
     10411*T1^8*T2^6 + 1016*T1^9*T2^6 - 1504*T1^10*T2^6 + 172*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 659*T1^2*T2^7 - 4237*T1^3*T2^7 + 
     4751*T1^4*T2^7 + 10814*T1^5*T2^7 - 25793*T1^6*T2^7 + 19411*T1^7*T2^7 + 
     429*T1^8*T2^7 - 7131*T1^9*T2^7 + 2893*T1^10*T2^7 - 133*T1^11*T2^7 - 
     91*T1^12*T2^7 - 260*T1^2*T2^8 + 489*T1^3*T2^8 + 2184*T1^4*T2^8 - 
     9293*T1^5*T2^8 + 10411*T1^6*T2^8 + 429*T1^7*T2^8 - 10933*T1^8*T2^8 + 
     9075*T1^9*T2^8 - 1936*T1^10*T2^8 - 519*T1^11*T2^8 + 236*T1^12*T2^8 + 
     179*T1^3*T2^9 - 999*T1^4*T2^9 + 1715*T1^5*T2^9 + 1016*T1^6*T2^9 - 
     7131*T1^7*T2^9 + 9075*T1^8*T2^9 - 4402*T1^9*T2^9 - 703*T1^10*T2^9 + 
     1209*T1^11*T2^9 - 313*T1^12*T2^9 - 12*T1^4*T2^10 + 323*T1^5*T2^10 - 
     1504*T1^6*T2^10 + 2893*T1^7*T2^10 - 1936*T1^8*T2^10 - 703*T1^9*T2^10 + 
     2092*T1^10*T2^10 - 1165*T1^11*T2^10 + 236*T1^12*T2^10 - 43*T1^5*T2^11 + 
     172*T1^6*T2^11 - 133*T1^7*T2^11 - 519*T1^8*T2^11 + 1209*T1^9*T2^11 - 
     1165*T1^10*T2^11 + 508*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 236*T1^8*T2^12 - 313*T1^9*T2^12 + 236*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 734] -> 
  {-(((1 - 3*T + T^2)*(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-41 + 204*T1 - 386*T1^2 + 467*T1^3 - 386*T1^4 + 204*T1^5 - 41*T1^6 + 
      204*T2 - 858*T1*T2 + 1114*T1^2*T2 - 790*T1^3*T2 + 50*T1^4*T2 + 
      534*T1^5*T2 - 618*T1^6*T2 + 164*T1^7*T2 - 386*T2^2 + 1114*T1*T2^2 + 
      229*T1^2*T2^2 - 2220*T1^3*T2^2 + 3623*T1^4*T2^2 - 3208*T1^5*T2^2 + 
      1521*T1^6*T2^2 + 354*T1^7*T2^2 - 234*T1^8*T2^2 + 467*T2^3 - 
      790*T1*T2^3 - 2220*T1^2*T2^3 + 3828*T1^3*T2^3 - 3359*T1^4*T2^3 + 
      619*T1^5*T2^3 + 1768*T1^6*T2^3 - 2562*T1^7*T2^3 + 210*T1^8*T2^3 + 
      191*T1^9*T2^3 - 386*T2^4 + 50*T1*T2^4 + 3623*T1^2*T2^4 - 
      3359*T1^3*T2^4 + 1212*T1^4*T2^4 + 1754*T1^5*T2^4 - 2184*T1^6*T2^4 + 
      965*T1^7*T2^4 + 1911*T1^8*T2^4 - 550*T1^9*T2^4 - 82*T1^10*T2^4 + 
      204*T2^5 + 534*T1*T2^5 - 3208*T1^2*T2^5 + 619*T1^3*T2^5 + 
      1754*T1^4*T2^5 - 2647*T1^5*T2^5 + 377*T1^6*T2^5 + 1431*T1^7*T2^5 - 
      2667*T1^8*T2^5 - 282*T1^9*T2^5 + 394*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 618*T1*T2^6 + 1521*T1^2*T2^6 + 1768*T1^3*T2^6 - 
      2184*T1^4*T2^6 + 377*T1^5*T2^6 + 2460*T1^6*T2^6 - 2449*T1^7*T2^6 + 
      1346*T1^8*T2^6 + 1596*T1^9*T2^6 - 579*T1^10*T2^6 - 58*T1^11*T2^6 + 
      7*T1^12*T2^6 + 164*T1*T2^7 + 354*T1^2*T2^7 - 2562*T1^3*T2^7 + 
      965*T1^4*T2^7 + 1431*T1^5*T2^7 - 2449*T1^6*T2^7 + 575*T1^7*T2^7 + 
      1108*T1^8*T2^7 - 2321*T1^9*T2^7 + 364*T1^10*T2^7 + 214*T1^11*T2^7 - 
      36*T1^12*T2^7 - 234*T1^2*T2^8 + 210*T1^3*T2^8 + 1911*T1^4*T2^8 - 
      2667*T1^5*T2^8 + 1346*T1^6*T2^8 + 1108*T1^7*T2^8 - 2050*T1^8*T2^8 + 
      1657*T1^9*T2^8 + 199*T1^10*T2^8 - 390*T1^11*T2^8 + 70*T1^12*T2^8 + 
      191*T1^3*T2^9 - 550*T1^4*T2^9 - 282*T1^5*T2^9 + 1596*T1^6*T2^9 - 
      2321*T1^7*T2^9 + 1657*T1^8*T2^9 - 464*T1^9*T2^9 - 624*T1^10*T2^9 + 
      450*T1^11*T2^9 - 85*T1^12*T2^9 - 82*T1^4*T2^10 + 394*T1^5*T2^10 - 
      579*T1^6*T2^10 + 364*T1^7*T2^10 + 199*T1^8*T2^10 - 624*T1^9*T2^10 + 
      713*T1^10*T2^10 - 366*T1^11*T2^10 + 70*T1^12*T2^10 + 4*T1^5*T2^11 - 
      58*T1^6*T2^11 + 214*T1^7*T2^11 - 390*T1^8*T2^11 + 450*T1^9*T2^11 - 
      366*T1^10*T2^11 + 182*T1^11*T2^11 - 36*T1^12*T2^11 + 7*T1^6*T2^12 - 
      36*T1^7*T2^12 + 70*T1^8*T2^12 - 85*T1^9*T2^12 + 70*T1^10*T2^12 - 
      36*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 735] -> 
  {-((4 - 18*T + 27*T^2 - 18*T^3 + 4*T^4)/T^2), 
   -((-208 + 936*T1 - 1400*T1^2 + 936*T1^3 - 208*T1^4 + 936*T2 - 3590*T1*T2 + 
      3390*T1^2*T2 + 150*T1^3*T2 - 2006*T1^4*T2 + 648*T1^5*T2 - 1400*T2^2 + 
      3390*T1*T2^2 + 3487*T1^2*T2^2 - 11337*T1^3*T2^2 + 8455*T1^4*T2^2 - 
      498*T1^5*T2^2 - 536*T1^6*T2^2 + 936*T2^3 + 150*T1*T2^3 - 
      11337*T1^2*T2^3 + 14482*T1^3*T2^3 - 2636*T1^4*T2^3 - 6477*T1^5*T2^3 + 
      2094*T1^6*T2^3 + 72*T1^7*T2^3 - 208*T2^4 - 2006*T1*T2^4 + 
      8455*T1^2*T2^4 - 2636*T1^3*T2^4 - 9984*T1^4*T2^4 + 11116*T1^5*T2^4 - 
      1481*T1^6*T2^4 - 566*T1^7*T2^4 + 48*T1^8*T2^4 + 648*T1*T2^5 - 
      498*T1^2*T2^5 - 6477*T1^3*T2^5 + 11116*T1^4*T2^5 - 6002*T1^5*T2^5 - 
      1617*T1^6*T2^5 + 1446*T1^7*T2^5 - 216*T1^8*T2^5 - 536*T1^2*T2^6 + 
      2094*T1^3*T2^6 - 1481*T1^4*T2^6 - 1617*T1^5*T2^6 + 3487*T1^6*T2^6 - 
      1794*T1^7*T2^6 + 328*T1^8*T2^6 + 72*T1^3*T2^7 - 566*T1^4*T2^7 + 
      1446*T1^5*T2^7 - 1794*T1^6*T2^7 + 1018*T1^7*T2^7 - 216*T1^8*T2^7 + 
      48*T1^4*T2^8 - 216*T1^5*T2^8 + 328*T1^6*T2^8 - 216*T1^7*T2^8 + 
      48*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 736] -> 
  {(2 - 13*T + 36*T^2 - 49*T^3 + 36*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-15 + 98*T1 - 272*T1^2 + 371*T1^3 - 272*T1^4 + 98*T1^5 - 15*T1^6 + 
     98*T2 - 594*T1*T2 + 1469*T1^2*T2 - 1579*T1^3*T2 + 631*T1^4*T2 + 
     195*T1^5*T2 - 204*T1^6*T2 + 46*T1^7*T2 - 272*T2^2 + 1469*T1*T2^2 - 
     2867*T1^2*T2^2 + 995*T1^3*T2^2 + 3011*T1^4*T2^2 - 4189*T1^5*T2^2 + 
     2029*T1^6*T2^2 - 403*T1^7*T2^2 + 16*T1^8*T2^2 + 371*T2^3 - 
     1579*T1*T2^3 + 995*T1^2*T2^3 + 6716*T1^3*T2^3 - 14481*T1^4*T2^3 + 
     10893*T1^5*T2^3 - 1222*T1^6*T2^3 - 2569*T1^7*T2^3 + 1307*T1^8*T2^3 - 
     217*T1^9*T2^3 - 272*T2^4 + 631*T1*T2^4 + 3011*T1^2*T2^4 - 
     14481*T1^3*T2^4 + 18651*T1^4*T2^4 - 627*T1^5*T2^4 - 17421*T1^6*T2^4 + 
     14723*T1^7*T2^4 - 3183*T1^8*T2^4 - 565*T1^9*T2^4 + 304*T1^10*T2^4 + 
     98*T2^5 + 195*T1*T2^5 - 4189*T1^2*T2^5 + 10893*T1^3*T2^5 - 
     627*T1^4*T2^5 - 35356*T1^5*T2^5 + 47738*T1^6*T2^5 - 20139*T1^7*T2^5 - 
     6821*T1^8*T2^5 + 5855*T1^9*T2^5 - 923*T1^10*T2^5 - 162*T1^11*T2^5 - 
     15*T2^6 - 204*T1*T2^6 + 2029*T1^2*T2^6 - 1222*T1^3*T2^6 - 
     17421*T1^4*T2^6 + 47738*T1^5*T2^6 - 28164*T1^6*T2^6 - 22902*T1^7*T2^6 + 
     38447*T1^8*T2^6 - 11758*T1^9*T2^6 - 711*T1^10*T2^6 + 836*T1^11*T2^6 + 
     33*T1^12*T2^6 + 46*T1*T2^7 - 403*T1^2*T2^7 - 2569*T1^3*T2^7 + 
     14723*T1^4*T2^7 - 20139*T1^5*T2^7 - 22902*T1^6*T2^7 + 60192*T1^7*T2^7 - 
     39651*T1^8*T2^7 - 2991*T1^9*T2^7 + 7475*T1^10*T2^7 - 1521*T1^11*T2^7 - 
     214*T1^12*T2^7 + 16*T1^2*T2^8 + 1307*T1^3*T2^8 - 3183*T1^4*T2^8 - 
     6821*T1^5*T2^8 + 38447*T1^6*T2^8 - 39651*T1^7*T2^8 + 2375*T1^8*T2^8 + 
     22383*T1^9*T2^8 - 9377*T1^10*T2^8 + 111*T1^11*T2^8 + 592*T1^12*T2^8 - 
     217*T1^3*T2^9 - 565*T1^4*T2^9 + 5855*T1^5*T2^9 - 11758*T1^6*T2^9 - 
     2991*T1^7*T2^9 + 22383*T1^8*T2^9 - 19696*T1^9*T2^9 + 2291*T1^10*T2^9 + 
     2321*T1^11*T2^9 - 805*T1^12*T2^9 + 304*T1^4*T2^10 - 923*T1^5*T2^10 - 
     711*T1^6*T2^10 + 7475*T1^7*T2^10 - 9377*T1^8*T2^10 + 2291*T1^9*T2^10 + 
     4185*T1^10*T2^10 - 2795*T1^11*T2^10 + 592*T1^12*T2^10 - 162*T1^5*T2^11 + 
     836*T1^6*T2^11 - 1521*T1^7*T2^11 + 111*T1^8*T2^11 + 2321*T1^9*T2^11 - 
     2795*T1^10*T2^11 + 1226*T1^11*T2^11 - 214*T1^12*T2^11 + 33*T1^6*T2^12 - 
     214*T1^7*T2^12 + 592*T1^8*T2^12 - 805*T1^9*T2^12 + 592*T1^10*T2^12 - 
     214*T1^11*T2^12 + 33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 737] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2 - T^3 + T^4))/T^3), 
   -((-25 + 87*T1 - 112*T1^2 + 113*T1^3 - 112*T1^4 + 87*T1^5 - 25*T1^6 + 
      87*T2 - 244*T1*T2 + 185*T1^2*T2 - 129*T1^3*T2 + 123*T1^4*T2 - 
      39*T1^5*T2 - 118*T1^6*T2 + 59*T1^7*T2 - 112*T2^2 + 185*T1*T2^2 + 
      169*T1^2*T2^2 - 258*T1^3*T2^2 + 223*T1^4*T2^2 - 330*T1^5*T2^2 + 
      421*T1^6*T2^2 - 67*T1^7*T2^2 - 40*T1^8*T2^2 + 113*T2^3 - 129*T1*T2^3 - 
      258*T1^2*T2^3 + 119*T1^3*T2^3 - 47*T1^4*T2^3 + 223*T1^5*T2^3 - 
      295*T1^6*T2^3 - 177*T1^7*T2^3 + 123*T1^8*T2^3 + 5*T1^9*T2^3 - 
      112*T2^4 + 123*T1*T2^4 + 223*T1^2*T2^4 - 47*T1^3*T2^4 + 290*T1^4*T2^4 - 
      616*T1^5*T2^4 + 542*T1^6*T2^4 + 187*T1^7*T2^4 - 11*T1^8*T2^4 - 
      129*T1^9*T2^4 + 32*T1^10*T2^4 + 87*T2^5 - 39*T1*T2^5 - 330*T1^2*T2^5 + 
      223*T1^3*T2^5 - 616*T1^4*T2^5 + 680*T1^5*T2^5 - 256*T1^6*T2^5 - 
      463*T1^7*T2^5 - 119*T1^8*T2^5 + 201*T1^9*T2^5 + 73*T1^10*T2^5 - 
      53*T1^11*T2^5 - 25*T2^6 - 118*T1*T2^6 + 421*T1^2*T2^6 - 295*T1^3*T2^6 + 
      542*T1^4*T2^6 - 256*T1^5*T2^6 - 300*T1^6*T2^6 + 624*T1^7*T2^6 + 
      128*T1^8*T2^6 + 119*T1^9*T2^6 - 411*T1^10*T2^6 + 106*T1^11*T2^6 + 
      23*T1^12*T2^6 + 59*T1*T2^7 - 67*T1^2*T2^7 - 177*T1^3*T2^7 + 
      187*T1^4*T2^7 - 463*T1^5*T2^7 + 624*T1^6*T2^7 - 312*T1^7*T2^7 - 
      310*T1^8*T2^7 - 155*T1^9*T2^7 + 354*T1^10*T2^7 + 45*T1^11*T2^7 - 
      81*T1^12*T2^7 - 40*T1^2*T2^8 + 123*T1^3*T2^8 - 11*T1^4*T2^8 - 
      119*T1^5*T2^8 + 128*T1^6*T2^8 - 310*T1^7*T2^8 + 380*T1^8*T2^8 + 
      115*T1^9*T2^8 - 245*T1^10*T2^8 - 129*T1^11*T2^8 + 104*T1^12*T2^8 + 
      5*T1^3*T2^9 - 129*T1^4*T2^9 + 201*T1^5*T2^9 + 119*T1^6*T2^9 - 
      155*T1^7*T2^9 + 115*T1^8*T2^9 - 295*T1^9*T2^9 + 282*T1^10*T2^9 + 
      123*T1^11*T2^9 - 103*T1^12*T2^9 + 32*T1^4*T2^10 + 73*T1^5*T2^10 - 
      411*T1^6*T2^10 + 354*T1^7*T2^10 - 245*T1^8*T2^10 + 282*T1^9*T2^10 - 
      159*T1^10*T2^10 - 179*T1^11*T2^10 + 104*T1^12*T2^10 - 53*T1^5*T2^11 + 
      106*T1^6*T2^11 + 45*T1^7*T2^11 - 129*T1^8*T2^11 + 123*T1^9*T2^11 - 
      179*T1^10*T2^11 + 232*T1^11*T2^11 - 81*T1^12*T2^11 + 23*T1^6*T2^12 - 
      81*T1^7*T2^12 + 104*T1^8*T2^12 - 103*T1^9*T2^12 + 104*T1^10*T2^12 - 
      81*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 738] -> 
  {-(((1 - T + T^2)*(2 - 11*T + 17*T^2 - 11*T^3 + 2*T^4))/T^3), 
   -((-41 + 265*T1 - 609*T1^2 + 791*T1^3 - 609*T1^4 + 265*T1^5 - 41*T1^6 + 
      265*T2 - 1506*T1*T2 + 2557*T1^2*T2 - 1951*T1^3*T2 - 157*T1^4*T2 + 
      1439*T1^5*T2 - 1116*T1^6*T2 + 213*T1^7*T2 - 609*T2^2 + 2557*T1*T2^2 - 
      398*T1^2*T2^2 - 6489*T1^3*T2^2 + 12232*T1^4*T2^2 - 9609*T1^5*T2^2 + 
      2962*T1^6*T2^2 + 997*T1^7*T2^2 - 369*T1^8*T2^2 + 791*T2^3 - 
      1951*T1*T2^3 - 6489*T1^2*T2^3 + 16788*T1^3*T2^3 - 16086*T1^4*T2^3 + 
      762*T1^5*T2^3 + 9612*T1^6*T2^3 - 7659*T1^7*T2^3 + 311*T1^8*T2^3 + 
      323*T1^9*T2^3 - 609*T2^4 - 157*T1*T2^4 + 12232*T1^2*T2^4 - 
      16086*T1^3*T2^4 + 2274*T1^4*T2^4 + 18558*T1^5*T2^4 - 17370*T1^6*T2^4 + 
      2946*T1^7*T2^4 + 6250*T1^8*T2^4 - 1249*T1^9*T2^4 - 129*T1^10*T2^4 + 
      265*T2^5 + 1439*T1*T2^5 - 9609*T1^2*T2^5 + 762*T1^3*T2^5 + 
      18558*T1^4*T2^5 - 26590*T1^5*T2^5 + 5780*T1^6*T2^5 + 12318*T1^7*T2^5 - 
      11718*T1^8*T2^5 - 639*T1^9*T2^5 + 789*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 1116*T1*T2^6 + 2962*T1^2*T2^6 + 9612*T1^3*T2^6 - 
      17370*T1^4*T2^6 + 5780*T1^5*T2^6 + 19296*T1^6*T2^6 - 22404*T1^7*T2^6 + 
      7386*T1^8*T2^6 + 5556*T1^9*T2^6 - 1506*T1^10*T2^6 - 76*T1^11*T2^6 + 
      7*T1^12*T2^6 + 213*T1*T2^7 + 997*T1^2*T2^7 - 7659*T1^3*T2^7 + 
      2946*T1^4*T2^7 + 12318*T1^5*T2^7 - 22404*T1^6*T2^7 + 9966*T1^7*T2^7 + 
      6078*T1^8*T2^7 - 9534*T1^9*T2^7 + 1311*T1^10*T2^7 + 347*T1^11*T2^7 - 
      47*T1^12*T2^7 - 369*T1^2*T2^8 + 311*T1^3*T2^8 + 6250*T1^4*T2^8 - 
      11718*T1^5*T2^8 + 7386*T1^6*T2^8 + 6078*T1^7*T2^8 - 12258*T1^8*T2^8 + 
      7314*T1^9*T2^8 + 268*T1^10*T2^8 - 781*T1^11*T2^8 + 111*T1^12*T2^8 + 
      323*T1^3*T2^9 - 1249*T1^4*T2^9 - 639*T1^5*T2^9 + 5556*T1^6*T2^9 - 
      9534*T1^7*T2^9 + 7314*T1^8*T2^9 - 1620*T1^9*T2^9 - 1809*T1^10*T2^9 + 
      1013*T1^11*T2^9 - 145*T1^12*T2^9 - 129*T1^4*T2^10 + 789*T1^5*T2^10 - 
      1506*T1^6*T2^10 + 1311*T1^7*T2^10 + 268*T1^8*T2^10 - 1809*T1^9*T2^10 + 
      1854*T1^10*T2^10 - 771*T1^11*T2^10 + 111*T1^12*T2^10 + 5*T1^5*T2^11 - 
      76*T1^6*T2^11 + 347*T1^7*T2^11 - 781*T1^8*T2^11 + 1013*T1^9*T2^11 - 
      771*T1^10*T2^11 + 314*T1^11*T2^11 - 47*T1^12*T2^11 + 7*T1^6*T2^12 - 
      47*T1^7*T2^12 + 111*T1^8*T2^12 - 145*T1^9*T2^12 + 111*T1^10*T2^12 - 
      47*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 739] -> 
  {(1 - 4*T + 5*T^2 + T^3 - 5*T^4 + T^5 + 5*T^6 - 4*T^7 + T^8)/T^4, 
   (-2 + 8*T1 - 10*T1^2 - 2*T1^3 + 10*T1^4 - 2*T1^5 - 10*T1^6 + 8*T1^7 - 
     2*T1^8 + 8*T2 - 28*T1*T2 + 24*T1^2*T2 + 28*T1^3*T2 - 36*T1^4*T2 - 
     12*T1^5*T2 + 44*T1^6*T2 - 12*T1^7*T2 - 8*T1^8*T2 + 4*T1^9*T2 - 10*T2^2 + 
     24*T1*T2^2 + 15*T1^2*T2^2 - 93*T1^3*T2^2 + 36*T1^4*T2^2 + 71*T1^5*T2^2 - 
     64*T1^6*T2^2 - 43*T1^7*T2^2 + 55*T1^8*T2^2 - 16*T1^9*T2^2 - 2*T2^3 + 
     28*T1*T2^3 - 93*T1^2*T2^3 + 107*T1^3*T2^3 + 31*T1^4*T2^3 - 
     109*T1^5*T2^3 - T1^6*T2^3 + 108*T1^7*T2^3 - 73*T1^8*T2^3 + 
     22*T1^9*T2^3 - 4*T1^10*T2^3 + T1^11*T2^3 + 10*T2^4 - 36*T1*T2^4 + 
     36*T1^2*T2^4 + 31*T1^3*T2^4 - 81*T1^4*T2^4 + 32*T1^5*T2^4 + 
     33*T1^6*T2^4 + 12*T1^7*T2^4 - T1^8*T2^4 - 21*T1^9*T2^4 - 32*T1^10*T2^4 + 
     36*T1^11*T2^4 - 10*T1^12*T2^4 - 2*T2^5 - 12*T1*T2^5 + 71*T1^2*T2^5 - 
     109*T1^3*T2^5 + 32*T1^4*T2^5 + 4*T1^5*T2^5 + 109*T1^6*T2^5 - 
     116*T1^7*T2^5 - 76*T1^8*T2^5 + 52*T1^9*T2^5 + 171*T1^10*T2^5 - 
     139*T1^11*T2^5 + 28*T1^12*T2^5 + 3*T1^13*T2^5 - 10*T2^6 + 44*T1*T2^6 - 
     64*T1^2*T2^6 - T1^3*T2^6 + 33*T1^4*T2^6 + 109*T1^5*T2^6 - 
     212*T1^6*T2^6 - 126*T1^7*T2^6 + 328*T1^8*T2^6 - 15*T1^9*T2^6 - 
     333*T1^10*T2^6 + 149*T1^11*T2^6 + 100*T1^12*T2^6 - 92*T1^13*T2^6 + 
     20*T1^14*T2^6 + 8*T2^7 - 12*T1*T2^7 - 43*T1^2*T2^7 + 108*T1^3*T2^7 + 
     12*T1^4*T2^7 - 116*T1^5*T2^7 - 126*T1^6*T2^7 + 528*T1^7*T2^7 - 
     262*T1^8*T2^7 - 261*T1^9*T2^7 + 311*T1^10*T2^7 + 152*T1^11*T2^7 - 
     485*T1^12*T2^7 + 232*T1^13*T2^7 - 20*T1^15*T2^7 - 2*T2^8 - 8*T1*T2^8 + 
     55*T1^2*T2^8 - 73*T1^3*T2^8 - T1^4*T2^8 - 76*T1^5*T2^8 + 328*T1^6*T2^8 - 
     262*T1^7*T2^8 - 324*T1^8*T2^8 + 570*T1^9*T2^8 - 126*T1^10*T2^8 - 
     440*T1^11*T2^8 + 547*T1^12*T2^8 + 17*T1^13*T2^8 - 189*T1^14*T2^8 + 
     56*T1^15*T2^8 + 6*T1^16*T2^8 + 4*T1*T2^9 - 16*T1^2*T2^9 + 22*T1^3*T2^9 - 
     21*T1^4*T2^9 + 52*T1^5*T2^9 - 15*T1^6*T2^9 - 261*T1^7*T2^9 + 
     570*T1^8*T2^9 - 220*T1^9*T2^9 - 396*T1^10*T2^9 + 412*T1^11*T2^9 + 
     192*T1^12*T2^9 - 614*T1^13*T2^9 + 297*T1^14*T2^9 - 4*T1^15*T2^9 - 
     24*T1^16*T2^9 - 4*T1^3*T2^10 - 32*T1^4*T2^10 + 171*T1^5*T2^10 - 
     333*T1^6*T2^10 + 311*T1^7*T2^10 - 126*T1^8*T2^10 - 396*T1^9*T2^10 + 
     414*T1^10*T2^10 + 187*T1^11*T2^10 - 699*T1^12*T2^10 + 321*T1^13*T2^10 + 
     132*T1^14*T2^10 - 140*T1^15*T2^10 + 30*T1^16*T2^10 + T1^3*T2^11 + 
     36*T1^4*T2^11 - 139*T1^5*T2^11 + 149*T1^6*T2^11 + 152*T1^7*T2^11 - 
     440*T1^8*T2^11 + 412*T1^9*T2^11 + 187*T1^10*T2^11 - 520*T1^11*T2^11 + 
     172*T1^12*T2^11 + 429*T1^13*T2^11 - 349*T1^14*T2^11 + 76*T1^15*T2^11 + 
     6*T1^16*T2^11 - 10*T1^4*T2^12 + 28*T1^5*T2^12 + 100*T1^6*T2^12 - 
     485*T1^7*T2^12 + 547*T1^8*T2^12 + 192*T1^9*T2^12 - 699*T1^10*T2^12 + 
     172*T1^11*T2^12 + 627*T1^12*T2^12 - 537*T1^13*T2^12 + 32*T1^14*T2^12 + 
     100*T1^15*T2^12 - 30*T1^16*T2^12 + 3*T1^5*T2^13 - 92*T1^6*T2^13 + 
     232*T1^7*T2^13 + 17*T1^8*T2^13 - 614*T1^9*T2^13 + 321*T1^10*T2^13 + 
     429*T1^11*T2^13 - 537*T1^12*T2^13 - 163*T1^13*T2^13 + 347*T1^14*T2^13 - 
     124*T1^15*T2^13 + 6*T1^16*T2^13 + 20*T1^6*T2^14 - 189*T1^8*T2^14 + 
     297*T1^9*T2^14 + 132*T1^10*T2^14 - 349*T1^11*T2^14 + 32*T1^12*T2^14 + 
     347*T1^13*T2^14 - 149*T1^14*T2^14 - 40*T1^15*T2^14 + 30*T1^16*T2^14 - 
     20*T1^7*T2^15 + 56*T1^8*T2^15 - 4*T1^9*T2^15 - 140*T1^10*T2^15 + 
     76*T1^11*T2^15 + 100*T1^12*T2^15 - 124*T1^13*T2^15 - 40*T1^14*T2^15 + 
     76*T1^15*T2^15 - 24*T1^16*T2^15 + 6*T1^8*T2^16 - 24*T1^9*T2^16 + 
     30*T1^10*T2^16 + 6*T1^11*T2^16 - 30*T1^12*T2^16 + 6*T1^13*T2^16 + 
     30*T1^14*T2^16 - 24*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 740] -> 
  {-((2 - 10*T + 24*T^2 - 33*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 123*T1 - 293*T1^2 + 403*T1^3 - 293*T1^4 + 123*T1^5 - 25*T1^6 + 
      123*T2 - 526*T1*T2 + 1042*T1^2*T2 - 1020*T1^3*T2 + 120*T1^4*T2 + 
      362*T1^5*T2 - 286*T1^6*T2 + 83*T1^7*T2 - 293*T2^2 + 1042*T1*T2^2 - 
      1501*T1^2*T2^2 + 321*T1^3*T2^2 + 2095*T1^4*T2^2 - 1887*T1^5*T2^2 + 
      611*T1^6*T2^2 + 82*T1^7*T2^2 - 101*T1^8*T2^2 + 403*T2^3 - 
      1020*T1*T2^3 + 321*T1^2*T2^3 + 2752*T1^3*T2^3 - 5316*T1^4*T2^3 + 
      1632*T1^5*T2^3 + 1522*T1^6*T2^3 - 1551*T1^7*T2^3 + 480*T1^8*T2^3 + 
      7*T1^9*T2^3 - 293*T2^4 + 120*T1*T2^4 + 2095*T1^2*T2^4 - 
      5316*T1^3*T2^4 + 4202*T1^4*T2^4 + 4268*T1^5*T2^4 - 6754*T1^6*T2^4 + 
      2868*T1^7*T2^4 + 103*T1^8*T2^4 - 480*T1^9*T2^4 + 91*T1^10*T2^4 + 
      123*T2^5 + 362*T1*T2^5 - 1887*T1^2*T2^5 + 1632*T1^3*T2^5 + 
      4268*T1^4*T2^5 - 12560*T1^5*T2^5 + 9304*T1^6*T2^5 + 140*T1^7*T2^5 - 
      2844*T1^8*T2^5 + 1329*T1^9*T2^5 - 78*T1^10*T2^5 - 77*T1^11*T2^5 - 
      25*T2^6 - 286*T1*T2^6 + 611*T1^2*T2^6 + 1522*T1^3*T2^6 - 
      6754*T1^4*T2^6 + 9304*T1^5*T2^6 - 1224*T1^6*T2^6 - 8632*T1^7*T2^6 + 
      5966*T1^8*T2^6 - 1190*T1^9*T2^6 - 509*T1^10*T2^6 + 274*T1^11*T2^6 + 
      23*T1^12*T2^6 + 83*T1*T2^7 + 82*T1^2*T2^7 - 1551*T1^3*T2^7 + 
      2868*T1^4*T2^7 + 140*T1^5*T2^7 - 8632*T1^6*T2^7 + 13232*T1^7*T2^7 - 
      3988*T1^8*T2^7 - 1608*T1^9*T2^7 + 1665*T1^10*T2^7 - 358*T1^11*T2^7 - 
      117*T1^12*T2^7 - 101*T1^2*T2^8 + 480*T1^3*T2^8 + 103*T1^4*T2^8 - 
      2844*T1^5*T2^8 + 5966*T1^6*T2^8 - 3988*T1^7*T2^8 - 4990*T1^8*T2^8 + 
      5340*T1^9*T2^8 - 1889*T1^10*T2^8 - 120*T1^11*T2^8 + 283*T1^12*T2^8 + 
      7*T1^3*T2^9 - 480*T1^4*T2^9 + 1329*T1^5*T2^9 - 1190*T1^6*T2^9 - 
      1608*T1^7*T2^9 + 5340*T1^8*T2^9 - 2420*T1^9*T2^9 - 543*T1^10*T2^9 + 
      1020*T1^11*T2^9 - 389*T1^12*T2^9 + 91*T1^4*T2^10 - 78*T1^5*T2^10 - 
      509*T1^6*T2^10 + 1665*T1^7*T2^10 - 1889*T1^8*T2^10 - 543*T1^9*T2^10 + 
      1603*T1^10*T2^10 - 1038*T1^11*T2^10 + 283*T1^12*T2^10 - 77*T1^5*T2^11 + 
      274*T1^6*T2^11 - 358*T1^7*T2^11 - 120*T1^8*T2^11 + 1020*T1^9*T2^11 - 
      1038*T1^10*T2^11 + 514*T1^11*T2^11 - 117*T1^12*T2^11 + 23*T1^6*T2^12 - 
      117*T1^7*T2^12 + 283*T1^8*T2^12 - 389*T1^9*T2^12 + 283*T1^10*T2^12 - 
      117*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 741] -> 
  {(3 - 11*T + 21*T^2 - 25*T^3 + 21*T^4 - 11*T^5 + 3*T^6)/T^3, 
   (-51 + 186*T1 - 356*T1^2 + 425*T1^3 - 356*T1^4 + 186*T1^5 - 51*T1^6 + 
     186*T2 - 593*T1*T2 + 981*T1^2*T2 - 943*T1^3*T2 + 575*T1^4*T2 - 
     75*T1^5*T2 - 131*T1^6*T2 + 87*T1^7*T2 - 356*T2^2 + 981*T1*T2^2 - 
     1313*T1^2*T2^2 + 745*T1^3*T2^2 + 183*T1^4*T2^2 - 1019*T1^5*T2^2 + 
     955*T1^6*T2^2 - 405*T1^7*T2^2 + 22*T1^8*T2^2 + 425*T2^3 - 943*T1*T2^3 + 
     745*T1^2*T2^3 + 518*T1^3*T2^3 - 1588*T1^4*T2^3 + 1838*T1^5*T2^3 - 
     574*T1^6*T2^3 - 746*T1^7*T2^3 + 839*T1^8*T2^3 - 250*T1^9*T2^3 - 
     356*T2^4 + 575*T1*T2^4 + 183*T1^2*T2^4 - 1588*T1^3*T2^4 + 
     1974*T1^4*T2^4 - 942*T1^5*T2^4 - 1190*T1^6*T2^4 + 2012*T1^7*T2^4 - 
     575*T1^8*T2^4 - 547*T1^9*T2^4 + 400*T1^10*T2^4 + 186*T2^5 - 75*T1*T2^5 - 
     1019*T1^2*T2^5 + 1838*T1^3*T2^5 - 942*T1^4*T2^5 - 1357*T1^5*T2^5 + 
     2927*T1^6*T2^5 - 1803*T1^7*T2^5 - 1240*T1^8*T2^5 + 1564*T1^9*T2^5 - 
     339*T1^10*T2^5 - 309*T1^11*T2^5 - 51*T2^6 - 131*T1*T2^6 + 
     955*T1^2*T2^6 - 574*T1^3*T2^6 - 1190*T1^4*T2^6 + 2927*T1^5*T2^6 - 
     1680*T1^6*T2^6 - 1303*T1^7*T2^6 + 3720*T1^8*T2^6 - 1462*T1^9*T2^6 - 
     589*T1^10*T2^6 + 727*T1^11*T2^6 + 111*T1^12*T2^6 + 87*T1*T2^7 - 
     405*T1^2*T2^7 - 746*T1^3*T2^7 + 2012*T1^4*T2^7 - 1803*T1^5*T2^7 - 
     1303*T1^6*T2^7 + 2981*T1^7*T2^7 - 2664*T1^8*T2^7 - 1066*T1^9*T2^7 + 
     1837*T1^10*T2^7 - 669*T1^11*T2^7 - 408*T1^12*T2^7 + 22*T1^2*T2^8 + 
     839*T1^3*T2^8 - 575*T1^4*T2^8 - 1240*T1^5*T2^8 + 3720*T1^6*T2^8 - 
     2664*T1^7*T2^8 + 556*T1^8*T2^8 + 2360*T1^9*T2^8 - 1333*T1^10*T2^8 - 
     283*T1^11*T2^8 + 778*T1^12*T2^8 - 250*T1^3*T2^9 - 547*T1^4*T2^9 + 
     1564*T1^5*T2^9 - 1462*T1^6*T2^9 - 1066*T1^7*T2^9 + 2360*T1^8*T2^9 - 
     2554*T1^9*T2^9 + 73*T1^10*T2^9 + 1235*T1^11*T2^9 - 925*T1^12*T2^9 + 
     400*T1^4*T2^10 - 339*T1^5*T2^10 - 589*T1^6*T2^10 + 1837*T1^7*T2^10 - 
     1333*T1^8*T2^10 + 73*T1^9*T2^10 + 1679*T1^10*T2^10 - 1725*T1^11*T2^10 + 
     778*T1^12*T2^10 - 309*T1^5*T2^11 + 727*T1^6*T2^11 - 669*T1^7*T2^11 - 
     283*T1^8*T2^11 + 1235*T1^9*T2^11 - 1725*T1^10*T2^11 + 1189*T1^11*T2^11 - 
     408*T1^12*T2^11 + 111*T1^6*T2^12 - 408*T1^7*T2^12 + 778*T1^8*T2^12 - 
     925*T1^9*T2^12 + 778*T1^10*T2^12 - 408*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 742] -> 
  {((2 - 3*T + 2*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-15 + 68*T1 - 159*T1^2 + 205*T1^3 - 159*T1^4 + 68*T1^5 - 15*T1^6 + 
     68*T2 - 276*T1*T2 + 574*T1^2*T2 - 586*T1^3*T2 + 278*T1^4*T2 + 
     34*T1^5*T2 - 78*T1^6*T2 + 32*T1^7*T2 - 159*T2^2 + 574*T1*T2^2 - 
     923*T1^2*T2^2 + 336*T1^3*T2^2 + 743*T1^4*T2^2 - 1176*T1^5*T2^2 + 
     673*T1^6*T2^2 - 182*T1^7*T2^2 + 9*T1^8*T2^2 + 205*T2^3 - 586*T1*T2^3 + 
     336*T1^2*T2^3 + 1295*T1^3*T2^3 - 2593*T1^4*T2^3 + 1619*T1^5*T2^3 + 
     323*T1^6*T2^3 - 987*T1^7*T2^3 + 494*T1^8*T2^3 - 119*T1^9*T2^3 - 
     159*T2^4 + 278*T1*T2^4 + 743*T1^2*T2^4 - 2593*T1^3*T2^4 + 
     2767*T1^4*T2^4 + 495*T1^5*T2^4 - 2789*T1^6*T2^4 + 2105*T1^7*T2^4 - 
     103*T1^8*T2^4 - 262*T1^9*T2^4 + 177*T1^10*T2^4 + 68*T2^5 + 34*T1*T2^5 - 
     1176*T1^2*T2^5 + 1619*T1^3*T2^5 + 495*T1^4*T2^5 - 5526*T1^5*T2^5 + 
     5670*T1^6*T2^5 - 1962*T1^7*T2^5 - 1621*T1^8*T2^5 + 903*T1^9*T2^5 - 
     290*T1^10*T2^5 - 112*T1^11*T2^5 - 15*T2^6 - 78*T1*T2^6 + 673*T1^2*T2^6 + 
     323*T1^3*T2^6 - 2789*T1^4*T2^6 + 5670*T1^5*T2^6 - 1080*T1^6*T2^6 - 
     4266*T1^7*T2^6 + 5725*T1^8*T2^6 - 1459*T1^9*T2^6 + 25*T1^10*T2^6 + 
     354*T1^11*T2^6 + 33*T1^12*T2^6 + 32*T1*T2^7 - 182*T1^2*T2^7 - 
     987*T1^3*T2^7 + 2105*T1^4*T2^7 - 1962*T1^5*T2^7 - 4266*T1^6*T2^7 + 
     6930*T1^7*T2^7 - 4419*T1^8*T2^7 - 1135*T1^9*T2^7 + 1092*T1^10*T2^7 - 
     506*T1^11*T2^7 - 148*T1^12*T2^7 + 9*T1^2*T2^8 + 494*T1^3*T2^8 - 
     103*T1^4*T2^8 - 1621*T1^5*T2^8 + 5725*T1^6*T2^8 - 4419*T1^7*T2^8 + 
     169*T1^8*T2^8 + 3077*T1^9*T2^8 - 949*T1^10*T2^8 - 46*T1^11*T2^8 + 
     345*T1^12*T2^8 - 119*T1^3*T2^9 - 262*T1^4*T2^9 + 903*T1^5*T2^9 - 
     1459*T1^6*T2^9 - 1135*T1^7*T2^9 + 3077*T1^8*T2^9 - 2431*T1^9*T2^9 - 
     420*T1^10*T2^9 + 818*T1^11*T2^9 - 443*T1^12*T2^9 + 177*T1^4*T2^10 - 
     290*T1^5*T2^10 + 25*T1^6*T2^10 + 1092*T1^7*T2^10 - 949*T1^8*T2^10 - 
     420*T1^9*T2^10 + 1621*T1^10*T2^10 - 1046*T1^11*T2^10 + 345*T1^12*T2^10 - 
     112*T1^5*T2^11 + 354*T1^6*T2^11 - 506*T1^7*T2^11 - 46*T1^8*T2^11 + 
     818*T1^9*T2^11 - 1046*T1^10*T2^11 + 552*T1^11*T2^11 - 148*T1^12*T2^11 + 
     33*T1^6*T2^12 - 148*T1^7*T2^12 + 345*T1^8*T2^12 - 443*T1^9*T2^12 + 
     345*T1^10*T2^12 - 148*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 743] -> 
  {(6 - 21*T + 31*T^2 - 21*T^3 + 6*T^4)/T^2, 
   (-381 + 1317*T1 - 1931*T1^2 + 1317*T1^3 - 381*T1^4 + 1317*T2 - 
     4010*T1*T2 + 4778*T1^2*T2 - 1774*T1^3*T2 - 608*T1^4*T2 + 561*T1^5*T2 - 
     1931*T2^2 + 4778*T1*T2^2 - 2791*T1^2*T2^2 - 4213*T1^3*T2^2 + 
     6509*T1^4*T2^2 - 3034*T1^5*T2^2 + 301*T1^6*T2^2 + 1317*T2^3 - 
     1774*T1*T2^3 - 4213*T1^2*T2^3 + 12617*T1^3*T2^3 - 11029*T1^4*T2^3 + 
     1646*T1^5*T2^3 + 2258*T1^6*T2^3 - 951*T1^7*T2^3 - 381*T2^4 - 
     608*T1*T2^4 + 6509*T1^2*T2^4 - 11029*T1^3*T2^4 + 4068*T1^4*T2^4 + 
     7997*T1^5*T2^4 - 7549*T1^6*T2^4 + 1660*T1^7*T2^4 + 483*T1^8*T2^4 + 
     561*T1*T2^5 - 3034*T1^2*T2^5 + 1646*T1^3*T2^5 + 7997*T1^4*T2^5 - 
     15649*T1^5*T2^5 + 7505*T1^6*T2^5 + 998*T1^7*T2^5 - 1707*T1^8*T2^5 + 
     301*T1^2*T2^6 + 2258*T1^3*T2^6 - 7549*T1^4*T2^6 + 7505*T1^5*T2^6 + 
     1751*T1^6*T2^6 - 5554*T1^7*T2^6 + 2533*T1^8*T2^6 - 951*T1^3*T2^7 + 
     1660*T1^4*T2^7 + 998*T1^5*T2^7 - 5554*T1^6*T2^7 + 5062*T1^7*T2^7 - 
     1707*T1^8*T2^7 + 483*T1^4*T2^8 - 1707*T1^5*T2^8 + 2533*T1^6*T2^8 - 
     1707*T1^7*T2^8 + 483*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 744] -> 
  {-((2 - 9*T + 15*T^2 - 17*T^3 + 15*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-41 + 184*T1 - 304*T1^2 + 343*T1^3 - 304*T1^4 + 184*T1^5 - 41*T1^6 + 
      184*T2 - 678*T1*T2 + 702*T1^2*T2 - 446*T1^3*T2 + 130*T1^4*T2 + 
      270*T1^5*T2 - 480*T1^6*T2 + 148*T1^7*T2 - 304*T2^2 + 702*T1*T2^2 + 
      516*T1^2*T2^2 - 1528*T1^3*T2^2 + 1922*T1^4*T2^2 - 2008*T1^5*T2^2 + 
      1296*T1^6*T2^2 + 162*T1^7*T2^2 - 184*T1^8*T2^2 + 343*T2^3 - 
      446*T1*T2^3 - 1528*T1^2*T2^3 + 1789*T1^3*T2^3 - 1209*T1^4*T2^3 + 
      663*T1^5*T2^3 + 487*T1^6*T2^3 - 1573*T1^7*T2^3 + 202*T1^8*T2^3 + 
      139*T1^9*T2^3 - 304*T2^4 + 130*T1*T2^4 + 1922*T1^2*T2^4 - 
      1209*T1^3*T2^4 + 305*T1^4*T2^4 - 7*T1^5*T2^4 - 583*T1^6*T2^4 + 
      729*T1^7*T2^4 + 968*T1^8*T2^4 - 338*T1^9*T2^4 - 64*T1^10*T2^4 + 
      184*T2^5 + 270*T1*T2^5 - 2008*T1^2*T2^5 + 663*T1^3*T2^5 - 7*T1^4*T2^5 + 
      344*T1^5*T2^5 - 226*T1^6*T2^5 + 218*T1^7*T2^5 - 1077*T1^8*T2^5 - 
      223*T1^9*T2^5 + 270*T1^10*T2^5 + 4*T1^11*T2^5 - 41*T2^6 - 480*T1*T2^6 + 
      1296*T1^2*T2^6 + 487*T1^3*T2^6 - 583*T1^4*T2^6 - 226*T1^5*T2^6 + 
      24*T1^6*T2^6 + 170*T1^7*T2^6 + 119*T1^8*T2^6 + 889*T1^9*T2^6 - 
      360*T1^10*T2^6 - 48*T1^11*T2^6 + 7*T1^12*T2^6 + 148*T1*T2^7 + 
      162*T1^2*T2^7 - 1573*T1^3*T2^7 + 729*T1^4*T2^7 + 218*T1^5*T2^7 + 
      170*T1^6*T2^7 - 400*T1^7*T2^7 + 443*T1^8*T2^7 - 1011*T1^9*T2^7 + 
      212*T1^10*T2^7 + 162*T1^11*T2^7 - 32*T1^12*T2^7 - 184*T1^2*T2^8 + 
      202*T1^3*T2^8 + 968*T1^4*T2^8 - 1077*T1^5*T2^8 + 119*T1^6*T2^8 + 
      443*T1^7*T2^8 - 769*T1^8*T2^8 + 861*T1^9*T2^8 + 14*T1^10*T2^8 - 
      266*T1^11*T2^8 + 56*T1^12*T2^8 + 139*T1^3*T2^9 - 338*T1^4*T2^9 - 
      223*T1^5*T2^9 + 889*T1^6*T2^9 - 1011*T1^7*T2^9 + 861*T1^8*T2^9 - 
      413*T1^9*T2^9 - 268*T1^10*T2^9 + 310*T1^11*T2^9 - 65*T1^12*T2^9 - 
      64*T1^4*T2^10 + 270*T1^5*T2^10 - 360*T1^6*T2^10 + 212*T1^7*T2^10 + 
      14*T1^8*T2^10 - 268*T1^9*T2^10 + 420*T1^10*T2^10 - 270*T1^11*T2^10 + 
      56*T1^12*T2^10 + 4*T1^5*T2^11 - 48*T1^6*T2^11 + 162*T1^7*T2^11 - 
      266*T1^8*T2^11 + 310*T1^9*T2^11 - 270*T1^10*T2^11 + 150*T1^11*T2^11 - 
      32*T1^12*T2^11 + 7*T1^6*T2^12 - 32*T1^7*T2^12 + 56*T1^8*T2^12 - 
      65*T1^9*T2^12 + 56*T1^10*T2^12 - 32*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 745] -> 
  {-((1 - 10*T + 30*T^2 - 43*T^3 + 30*T^4 - 10*T^5 + T^6)/T^3), 
   -((-3 + 30*T1 - 90*T1^2 + 129*T1^3 - 90*T1^4 + 30*T1^5 - 3*T1^6 + 30*T2 - 
      282*T1*T2 + 706*T1^2*T2 - 694*T1^3*T2 + 36*T1^4*T2 + 306*T1^5*T2 - 
      172*T1^6*T2 + 20*T1^7*T2 - 90*T2^2 + 706*T1*T2^2 - 755*T1^2*T2^2 - 
      1791*T1^3*T2^2 + 4955*T1^4*T2^2 - 3771*T1^5*T2^2 + 985*T1^6*T2^2 + 
      106*T1^7*T2^2 - 30*T1^8*T2^2 + 129*T2^3 - 694*T1*T2^3 - 
      1791*T1^2*T2^3 + 9387*T1^3*T2^3 - 12883*T1^4*T2^3 + 3857*T1^5*T2^3 + 
      3063*T1^6*T2^3 - 2361*T1^7*T2^3 + 296*T1^8*T2^3 - 90*T2^4 + 
      36*T1*T2^4 + 4955*T1^2*T2^4 - 12883*T1^3*T2^4 + 7387*T1^4*T2^4 + 
      13243*T1^5*T2^4 - 17513*T1^6*T2^4 + 6897*T1^7*T2^4 - 45*T1^8*T2^4 - 
      304*T1^9*T2^4 + 30*T1^10*T2^4 + 30*T2^5 + 306*T1*T2^5 - 
      3771*T1^2*T2^5 + 3857*T1^3*T2^5 + 13243*T1^4*T2^5 - 34516*T1^5*T2^5 + 
      24204*T1^6*T2^5 - 257*T1^7*T2^5 - 6803*T1^8*T2^5 + 2439*T1^9*T2^5 - 
      94*T1^10*T2^5 - 20*T1^11*T2^5 - 3*T2^6 - 172*T1*T2^6 + 985*T1^2*T2^6 + 
      3063*T1^3*T2^6 - 17513*T1^4*T2^6 + 24204*T1^5*T2^6 - 792*T1^6*T2^6 - 
      23656*T1^7*T2^6 + 17667*T1^8*T2^6 - 3195*T1^9*T2^6 - 1035*T1^10*T2^6 + 
      168*T1^11*T2^6 + 3*T1^12*T2^6 + 20*T1*T2^7 + 106*T1^2*T2^7 - 
      2361*T1^3*T2^7 + 6897*T1^4*T2^7 - 257*T1^5*T2^7 - 23656*T1^6*T2^7 + 
      35064*T1^7*T2^7 - 13757*T1^8*T2^7 - 3763*T1^9*T2^7 + 3849*T1^10*T2^7 - 
      294*T1^11*T2^7 - 30*T1^12*T2^7 - 30*T1^2*T2^8 + 296*T1^3*T2^8 - 
      45*T1^4*T2^8 - 6803*T1^5*T2^8 + 17667*T1^6*T2^8 - 13757*T1^7*T2^8 - 
      7233*T1^8*T2^8 + 12977*T1^9*T2^8 - 5045*T1^10*T2^8 - 44*T1^11*T2^8 + 
      90*T1^12*T2^8 - 304*T1^4*T2^9 + 2439*T1^5*T2^9 - 3195*T1^6*T2^9 - 
      3763*T1^7*T2^9 + 12977*T1^8*T2^9 - 9519*T1^9*T2^9 + 1869*T1^10*T2^9 + 
      686*T1^11*T2^9 - 129*T1^12*T2^9 + 30*T1^4*T2^10 - 94*T1^5*T2^10 - 
      1035*T1^6*T2^10 + 3849*T1^7*T2^10 - 5045*T1^8*T2^10 + 1869*T1^9*T2^10 + 
      705*T1^10*T2^10 - 694*T1^11*T2^10 + 90*T1^12*T2^10 - 20*T1^5*T2^11 + 
      168*T1^6*T2^11 - 294*T1^7*T2^11 - 44*T1^8*T2^11 + 686*T1^9*T2^11 - 
      694*T1^10*T2^11 + 278*T1^11*T2^11 - 30*T1^12*T2^11 + 3*T1^6*T2^12 - 
      30*T1^7*T2^12 + 90*T1^8*T2^12 - 129*T1^9*T2^12 + 90*T1^10*T2^12 - 
      30*T1^11*T2^12 + 3*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 746] -> 
  {((2 - 3*T + 2*T^2)*(1 - 4*T + 7*T^2 - 4*T^3 + T^4))/T^3, 
   (-15 + 83*T1 - 212*T1^2 + 281*T1^3 - 212*T1^4 + 83*T1^5 - 15*T1^6 + 
     83*T2 - 420*T1*T2 + 955*T1^2*T2 - 997*T1^3*T2 + 433*T1^4*T2 + 
     97*T1^5*T2 - 134*T1^6*T2 + 39*T1^7*T2 - 212*T2^2 + 955*T1*T2^2 - 
     1792*T1^2*T2^2 + 890*T1^3*T2^2 + 1140*T1^4*T2^2 - 2022*T1^5*T2^2 + 
     1120*T1^6*T2^2 - 277*T1^7*T2^2 + 12*T1^8*T2^2 + 281*T2^3 - 997*T1*T2^3 + 
     890*T1^2*T2^3 + 2604*T1^3*T2^3 - 6234*T1^4*T2^3 + 5128*T1^5*T2^3 - 
     750*T1^6*T2^3 - 1322*T1^7*T2^3 + 829*T1^8*T2^3 - 163*T1^9*T2^3 - 
     212*T2^4 + 433*T1*T2^4 + 1140*T1^2*T2^4 - 6234*T1^3*T2^4 + 
     8155*T1^4*T2^4 - 867*T1^5*T2^4 - 7185*T1^6*T2^4 + 6642*T1^7*T2^4 - 
     1542*T1^8*T2^4 - 403*T1^9*T2^4 + 236*T1^10*T2^4 + 83*T2^5 + 97*T1*T2^5 - 
     2022*T1^2*T2^5 + 5128*T1^3*T2^5 - 867*T1^4*T2^5 - 13726*T1^5*T2^5 + 
     19008*T1^6*T2^5 - 8315*T1^7*T2^5 - 3206*T1^8*T2^5 + 2990*T1^9*T2^5 - 
     541*T1^10*T2^5 - 137*T1^11*T2^5 - 15*T2^6 - 134*T1*T2^6 + 
     1120*T1^2*T2^6 - 750*T1^3*T2^6 - 7185*T1^4*T2^6 + 19008*T1^5*T2^6 - 
     10524*T1^6*T2^6 - 9440*T1^7*T2^6 + 16347*T1^8*T2^6 - 5334*T1^9*T2^6 - 
     396*T1^10*T2^6 + 570*T1^11*T2^6 + 33*T1^12*T2^6 + 39*T1*T2^7 - 
     277*T1^2*T2^7 - 1322*T1^3*T2^7 + 6642*T1^4*T2^7 - 8315*T1^5*T2^7 - 
     9440*T1^6*T2^7 + 23294*T1^7*T2^7 - 15763*T1^8*T2^7 - 1692*T1^9*T2^7 + 
     3690*T1^10*T2^7 - 915*T1^11*T2^7 - 181*T1^12*T2^7 + 12*T1^2*T2^8 + 
     829*T1^3*T2^8 - 1542*T1^4*T2^8 - 3206*T1^5*T2^8 + 16347*T1^6*T2^8 - 
     15763*T1^7*T2^8 + 1007*T1^8*T2^8 + 9670*T1^9*T2^8 - 4224*T1^10*T2^8 - 
     7*T1^11*T2^8 + 460*T1^12*T2^8 - 163*T1^3*T2^9 - 403*T1^4*T2^9 + 
     2990*T1^5*T2^9 - 5334*T1^6*T2^9 - 1692*T1^7*T2^9 + 9670*T1^8*T2^9 - 
     8688*T1^9*T2^9 + 778*T1^10*T2^9 + 1423*T1^11*T2^9 - 607*T1^12*T2^9 + 
     236*T1^4*T2^10 - 541*T1^5*T2^10 - 396*T1^6*T2^10 + 3690*T1^7*T2^10 - 
     4224*T1^8*T2^10 + 778*T1^9*T2^10 + 2516*T1^10*T2^10 - 1773*T1^11*T2^10 + 
     460*T1^12*T2^10 - 137*T1^5*T2^11 + 570*T1^6*T2^11 - 915*T1^7*T2^11 - 
     7*T1^8*T2^11 + 1423*T1^9*T2^11 - 1773*T1^10*T2^11 + 856*T1^11*T2^11 - 
     181*T1^12*T2^11 + 33*T1^6*T2^12 - 181*T1^7*T2^12 + 460*T1^8*T2^12 - 
     607*T1^9*T2^12 + 460*T1^10*T2^12 - 181*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 747] -> 
  {(1 - 5*T + 13*T^2 - 20*T^3 + 23*T^4 - 20*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-2 + 10*T1 - 26*T1^2 + 40*T1^3 - 46*T1^4 + 40*T1^5 - 26*T1^6 + 10*T1^7 - 
     2*T1^8 + 10*T2 - 45*T1*T2 + 105*T1^2*T2 - 135*T1^3*T2 + 130*T1^4*T2 - 
     85*T1^5*T2 + 30*T1^6*T2 + 15*T1^7*T2 - 15*T1^8*T2 + 5*T1^9*T2 - 
     26*T2^2 + 105*T1*T2^2 - 208*T1^2*T2^2 + 182*T1^3*T2^2 - 75*T1^4*T2^2 - 
     82*T1^5*T2^2 + 185*T1^6*T2^2 - 208*T1^7*T2^2 + 104*T1^8*T2^2 - 
     25*T1^9*T2^2 + 40*T2^3 - 135*T1*T2^3 + 182*T1^2*T2^3 + 47*T1^3*T2^3 - 
     309*T1^4*T2^3 + 448*T1^5*T2^3 - 367*T1^6*T2^3 + 156*T1^7*T2^3 + 
     137*T1^8*T2^3 - 208*T1^9*T2^3 + 100*T1^10*T2^3 - 20*T1^11*T2^3 - 
     46*T2^4 + 130*T1*T2^4 - 75*T1^2*T2^4 - 309*T1^3*T2^4 + 537*T1^4*T2^4 - 
     365*T1^5*T2^4 + 51*T1^6*T2^4 + 255*T1^7*T2^4 - 439*T1^8*T2^4 + 
     251*T1^9*T2^4 + 121*T1^10*T2^4 - 130*T1^11*T2^4 + 46*T1^12*T2^4 + 
     40*T2^5 - 85*T1*T2^5 - 82*T1^2*T2^5 + 448*T1^3*T2^5 - 365*T1^4*T2^5 - 
     357*T1^5*T2^5 + 701*T1^6*T2^5 - 894*T1^7*T2^5 + 663*T1^8*T2^5 - 
     100*T1^9*T2^5 - 477*T1^10*T2^5 + 83*T1^11*T2^5 + 70*T1^12*T2^5 - 
     60*T1^13*T2^5 - 26*T2^6 + 30*T1*T2^6 + 185*T1^2*T2^6 - 367*T1^3*T2^6 + 
     51*T1^4*T2^6 + 701*T1^5*T2^6 - 204*T1^6*T2^6 - 46*T1^7*T2^6 + 
     712*T1^8*T2^6 - 1029*T1^9*T2^6 + 1021*T1^10*T2^6 + 283*T1^11*T2^6 - 
     203*T1^12*T2^6 + 40*T1^13*T2^6 + 52*T1^14*T2^6 + 10*T2^7 + 15*T1*T2^7 - 
     208*T1^2*T2^7 + 156*T1^3*T2^7 + 255*T1^4*T2^7 - 894*T1^5*T2^7 - 
     46*T1^6*T2^7 - 326*T1^7*T2^7 - 6*T1^8*T2^7 - 336*T1^9*T2^7 + 
     431*T1^10*T2^7 - 1430*T1^11*T2^7 + 71*T1^12*T2^7 + 182*T1^13*T2^7 - 
     135*T1^14*T2^7 - 25*T1^15*T2^7 - 2*T2^8 - 15*T1*T2^8 + 104*T1^2*T2^8 + 
     137*T1^3*T2^8 - 439*T1^4*T2^8 + 663*T1^5*T2^8 + 712*T1^6*T2^8 - 
     6*T1^7*T2^8 + 720*T1^8*T2^8 - 386*T1^9*T2^8 + 688*T1^10*T2^8 + 
     33*T1^11*T2^8 + 1533*T1^12*T2^8 - 653*T1^13*T2^8 + 134*T1^14*T2^8 + 
     95*T1^15*T2^8 + 6*T1^16*T2^8 + 5*T1*T2^9 - 25*T1^2*T2^9 - 
     208*T1^3*T2^9 + 251*T1^4*T2^9 - 100*T1^5*T2^9 - 1029*T1^6*T2^9 - 
     336*T1^7*T2^9 - 386*T1^8*T2^9 - 66*T1^9*T2^9 - 626*T1^10*T2^9 + 
     296*T1^11*T2^9 - 1785*T1^12*T2^9 + 166*T1^13*T2^9 + 182*T1^14*T2^9 - 
     175*T1^15*T2^9 - 30*T1^16*T2^9 + 100*T1^3*T2^10 + 121*T1^4*T2^10 - 
     477*T1^5*T2^10 + 1021*T1^6*T2^10 + 431*T1^7*T2^10 + 688*T1^8*T2^10 - 
     626*T1^9*T2^10 + 1604*T1^10*T2^10 - 1299*T1^11*T2^10 + 
     1991*T1^12*T2^10 + 173*T1^13*T2^10 - 267*T1^14*T2^10 + 110*T1^15*T2^10 + 
     78*T1^16*T2^10 - 20*T1^3*T2^11 - 130*T1^4*T2^11 + 83*T1^5*T2^11 + 
     283*T1^6*T2^11 - 1430*T1^7*T2^11 + 33*T1^8*T2^11 + 296*T1^9*T2^11 - 
     1299*T1^10*T2^11 + 1053*T1^11*T2^11 - 1165*T1^12*T2^11 - 
     642*T1^13*T2^11 + 248*T1^14*T2^11 + 25*T1^15*T2^11 - 120*T1^16*T2^11 + 
     46*T1^4*T2^12 + 70*T1^5*T2^12 - 203*T1^6*T2^12 + 71*T1^7*T2^12 + 
     1533*T1^8*T2^12 - 1785*T1^9*T2^12 + 1991*T1^10*T2^12 - 
     1165*T1^11*T2^12 + 557*T1^12*T2^12 + 631*T1^13*T2^12 - 7*T1^14*T2^12 - 
     190*T1^15*T2^12 + 138*T1^16*T2^12 - 60*T1^5*T2^13 + 40*T1^6*T2^13 + 
     182*T1^7*T2^13 - 653*T1^8*T2^13 + 166*T1^9*T2^13 + 173*T1^10*T2^13 - 
     642*T1^11*T2^13 + 631*T1^12*T2^13 - 563*T1^13*T2^13 - 208*T1^14*T2^13 + 
     275*T1^15*T2^13 - 120*T1^16*T2^13 + 52*T1^6*T2^14 - 135*T1^7*T2^14 + 
     134*T1^8*T2^14 + 182*T1^9*T2^14 - 267*T1^10*T2^14 + 248*T1^11*T2^14 - 
     7*T1^12*T2^14 - 208*T1^13*T2^14 + 446*T1^14*T2^14 - 265*T1^15*T2^14 + 
     78*T1^16*T2^14 - 25*T1^7*T2^15 + 95*T1^8*T2^15 - 175*T1^9*T2^15 + 
     110*T1^10*T2^15 + 25*T1^11*T2^15 - 190*T1^12*T2^15 + 275*T1^13*T2^15 - 
     265*T1^14*T2^15 + 125*T1^15*T2^15 - 30*T1^16*T2^15 + 6*T1^8*T2^16 - 
     30*T1^9*T2^16 + 78*T1^10*T2^16 - 120*T1^11*T2^16 + 138*T1^12*T2^16 - 
     120*T1^13*T2^16 + 78*T1^14*T2^16 - 30*T1^15*T2^16 + 6*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 748] -> 
  {-((1 - 4*T + 9*T^2 - 16*T^3 + 19*T^4 - 16*T^5 + 9*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 45*T1^2 + 80*T1^3 - 95*T1^4 + 80*T1^5 - 45*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 176*T1^3*T2 + 
      124*T1^4*T2 - 16*T1^5*T2 - 76*T1^6*T2 + 64*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 177*T1^2*T2^2 + 258*T1^3*T2^2 - 
      85*T1^4*T2^2 - 51*T1^5*T2^2 + 95*T1^6*T2^2 + 42*T1^7*T2^2 - 
      33*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 80*T2^3 - 176*T1*T2^3 + 
      258*T1^2*T2^3 - 412*T1^3*T2^3 + 89*T1^4*T2^3 + 3*T1^5*T2^3 - 
      57*T1^6*T2^3 - 115*T1^7*T2^3 - 64*T1^8*T2^3 + 6*T1^9*T2^3 - 
      20*T1^10*T2^3 + 32*T1^11*T2^3 - 95*T2^4 + 124*T1*T2^4 - 85*T1^2*T2^4 + 
      89*T1^3*T2^4 + 640*T1^4*T2^4 - 638*T1^5*T2^4 + 642*T1^6*T2^4 - 
      270*T1^7*T2^4 + 472*T1^8*T2^4 - 103*T1^9*T2^4 + 87*T1^10*T2^4 - 
      52*T1^11*T2^4 - 19*T1^12*T2^4 + 80*T2^5 - 16*T1*T2^5 - 51*T1^2*T2^5 + 
      3*T1^3*T2^5 - 638*T1^4*T2^5 - 36*T1^5*T2^5 + 88*T1^6*T2^5 - 
      292*T1^7*T2^5 - 320*T1^8*T2^5 - 154*T1^9*T2^5 - 49*T1^10*T2^5 - 
      3*T1^11*T2^5 + 76*T1^12*T2^5 - 45*T2^6 - 76*T1*T2^6 + 95*T1^2*T2^6 - 
      57*T1^3*T2^6 + 642*T1^4*T2^6 + 88*T1^5*T2^6 + 666*T1^6*T2^6 - 
      948*T1^7*T2^6 + 1446*T1^8*T2^6 - 272*T1^9*T2^6 + 308*T1^10*T2^6 + 
      15*T1^11*T2^6 - 101*T1^12*T2^6 - 36*T1^13*T2^6 + 9*T1^14*T2^6 + 
      20*T2^7 + 64*T1*T2^7 + 42*T1^2*T2^7 - 115*T1^3*T2^7 - 270*T1^4*T2^7 - 
      292*T1^5*T2^7 - 948*T1^6*T2^7 + 1080*T1^7*T2^7 - 960*T1^8*T2^7 - 
      476*T1^9*T2^7 + 128*T1^10*T2^7 - 290*T1^11*T2^7 + 137*T1^12*T2^7 + 
      78*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 
      33*T1^2*T2^8 - 64*T1^3*T2^8 + 472*T1^4*T2^8 - 320*T1^5*T2^8 + 
      1446*T1^6*T2^8 - 960*T1^7*T2^8 + 156*T1^8*T2^8 + 1008*T1^9*T2^8 - 
      330*T1^10*T2^8 + 288*T1^11*T2^8 - 44*T1^12*T2^8 - 112*T1^13*T2^8 - 
      21*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      44*T1^2*T2^9 + 6*T1^3*T2^9 - 103*T1^4*T2^9 - 154*T1^5*T2^9 - 
      272*T1^6*T2^9 - 476*T1^7*T2^9 + 1008*T1^8*T2^9 - 1032*T1^9*T2^9 - 
      4*T1^10*T2^9 + 148*T1^11*T2^9 - 174*T1^12*T2^9 + 149*T1^13*T2^9 + 
      42*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 27*T1^2*T2^10 - 
      20*T1^3*T2^10 + 87*T1^4*T2^10 - 49*T1^5*T2^10 + 308*T1^6*T2^10 + 
      128*T1^7*T2^10 - 330*T1^8*T2^10 - 4*T1^9*T2^10 + 450*T1^10*T2^10 - 
      232*T1^11*T2^10 - 26*T1^12*T2^10 + 23*T1^13*T2^10 - 109*T1^14*T2^10 + 
      20*T1^15*T2^10 + 27*T1^16*T2^10 + 32*T1^3*T2^11 - 52*T1^4*T2^11 - 
      3*T1^5*T2^11 + 15*T1^6*T2^11 - 290*T1^7*T2^11 + 288*T1^8*T2^11 + 
      148*T1^9*T2^11 - 232*T1^10*T2^11 + 4*T1^11*T2^11 + 194*T1^12*T2^11 - 
      37*T1^13*T2^11 + 45*T1^14*T2^11 + 40*T1^15*T2^11 - 48*T1^16*T2^11 - 
      19*T1^4*T2^12 + 76*T1^5*T2^12 - 101*T1^6*T2^12 + 137*T1^7*T2^12 - 
      44*T1^8*T2^12 - 174*T1^9*T2^12 - 26*T1^10*T2^12 + 194*T1^11*T2^12 - 
      212*T1^12*T2^12 - 55*T1^13*T2^12 + 71*T1^14*T2^12 - 100*T1^15*T2^12 + 
      57*T1^16*T2^12 - 36*T1^6*T2^13 + 78*T1^7*T2^13 - 112*T1^8*T2^13 + 
      149*T1^9*T2^13 + 23*T1^10*T2^13 - 37*T1^11*T2^13 - 55*T1^12*T2^13 + 
      236*T1^13*T2^13 - 174*T1^14*T2^13 + 120*T1^15*T2^13 - 48*T1^16*T2^13 + 
      9*T1^6*T2^14 - 4*T1^7*T2^14 - 21*T1^8*T2^14 + 42*T1^9*T2^14 - 
      109*T1^10*T2^14 + 45*T1^11*T2^14 + 71*T1^12*T2^14 - 174*T1^13*T2^14 + 
      123*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 24*T1^9*T2^15 + 20*T1^10*T2^15 + 40*T1^11*T2^15 - 
      100*T1^12*T2^15 + 120*T1^13*T2^15 - 76*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 27*T1^10*T2^16 - 
      48*T1^11*T2^16 + 57*T1^12*T2^16 - 48*T1^13*T2^16 + 27*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 749] -> {(1 - T + T^2 - T^3 + T^4 - T^5 + T^6)/T^3, 
   (-4 + 4*T1 - 4*T1^2 + 4*T1^3 - 4*T1^4 + 4*T1^5 - 4*T1^6 + 4*T2 - 5*T1*T2 + 
     5*T1^2*T2 - 3*T1^3*T2 - T1^4*T2 + 3*T1^5*T2 - 3*T1^6*T2 + 3*T1^7*T2 - 
     4*T2^2 + 5*T1*T2^2 - 4*T1^2*T2^2 + 5*T1^3*T2^2 - 4*T1^4*T2^2 + 
     5*T1^5*T2^2 - 4*T1^6*T2^2 + 3*T1^7*T2^2 - 2*T1^8*T2^2 + 4*T2^3 - 
     3*T1*T2^3 + 5*T1^2*T2^3 - 6*T1^3*T2^3 + 3*T1^4*T2^3 - T1^5*T2^3 - 
     2*T1^6*T2^3 + 4*T1^7*T2^3 - T1^8*T2^3 + T1^9*T2^3 - 4*T2^4 - T1*T2^4 - 
     4*T1^2*T2^4 + 3*T1^3*T2^4 - 8*T1^4*T2^4 + 10*T1^5*T2^4 - 8*T1^6*T2^4 - 
     T1^7*T2^4 - 2*T1^8*T2^4 - 3*T1^9*T2^4 + 4*T2^5 + 3*T1*T2^5 + 
     5*T1^2*T2^5 - T1^3*T2^5 + 10*T1^4*T2^5 - 5*T1^5*T2^5 + T1^6*T2^5 + 
     9*T1^7*T2^5 + 3*T1^8*T2^5 + 2*T1^9*T2^5 + 5*T1^10*T2^5 - T1^11*T2^5 - 
     4*T2^6 - 3*T1*T2^6 - 4*T1^2*T2^6 - 2*T1^3*T2^6 - 8*T1^4*T2^6 + 
     T1^5*T2^6 - 5*T1^7*T2^6 - 6*T1^8*T2^6 - 6*T1^9*T2^6 - 5*T1^11*T2^6 + 
     2*T1^12*T2^6 + 3*T1*T2^7 + 3*T1^2*T2^7 + 4*T1^3*T2^7 - T1^4*T2^7 + 
     9*T1^5*T2^7 - 5*T1^6*T2^7 + T1^7*T2^7 + 8*T1^8*T2^7 + 3*T1^9*T2^7 + 
     T1^10*T2^7 + 5*T1^11*T2^7 - 2*T1^12*T2^7 - 2*T1^2*T2^8 - T1^3*T2^8 - 
     2*T1^4*T2^8 + 3*T1^5*T2^8 - 6*T1^6*T2^8 + 8*T1^7*T2^8 - 6*T1^8*T2^8 - 
     T1^9*T2^8 - 3*T1^11*T2^8 + 2*T1^12*T2^8 + T1^3*T2^9 - 3*T1^4*T2^9 + 
     2*T1^5*T2^9 - 6*T1^6*T2^9 + 3*T1^7*T2^9 - T1^8*T2^9 - 2*T1^9*T2^9 + 
     T1^10*T2^9 - T1^11*T2^9 - 2*T1^12*T2^9 + 5*T1^5*T2^10 + T1^7*T2^10 + 
     T1^9*T2^10 + 3*T1^11*T2^10 + 2*T1^12*T2^10 - T1^5*T2^11 - 5*T1^6*T2^11 + 
     5*T1^7*T2^11 - 3*T1^8*T2^11 - T1^9*T2^11 + 3*T1^10*T2^11 - 
     3*T1^11*T2^11 - 2*T1^12*T2^11 + 2*T1^6*T2^12 - 2*T1^7*T2^12 + 
     2*T1^8*T2^12 - 2*T1^9*T2^12 + 2*T1^10*T2^12 - 2*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 750] -> {((1 - T + T^2)*(2 - 3*T + 2*T^2))/T^2, 
   (2*T1 - 4*T1^2 + 6*T1^3 - 4*T1^4 + 2*T1^5 + 2*T2 - 12*T1*T2 + 16*T1^2*T2 - 
     10*T1^3*T2 - 10*T1^4*T2 + 16*T1^5*T2 - 12*T1^6*T2 + 2*T1^7*T2 - 4*T2^2 + 
     16*T1*T2^2 - 45*T1^2*T2^2 + 77*T1^3*T2^2 - 93*T1^4*T2^2 + 77*T1^5*T2^2 - 
     45*T1^6*T2^2 + 16*T1^7*T2^2 - 4*T1^8*T2^2 + 6*T2^3 - 10*T1*T2^3 + 
     77*T1^2*T2^3 - 116*T1^3*T2^3 + 116*T1^4*T2^3 - 4*T1^5*T2^3 - 
     46*T1^6*T2^3 + 57*T1^7*T2^3 - 10*T1^8*T2^3 + 6*T1^9*T2^3 - 4*T2^4 - 
     10*T1*T2^4 - 93*T1^2*T2^4 + 116*T1^3*T2^4 - 115*T1^4*T2^4 - 
     49*T1^5*T2^4 + 25*T1^6*T2^4 - 24*T1^7*T2^4 - 37*T1^8*T2^4 - 
     10*T1^9*T2^4 - 4*T1^10*T2^4 + 2*T2^5 + 16*T1*T2^5 + 77*T1^2*T2^5 - 
     4*T1^3*T2^5 - 49*T1^4*T2^5 + 193*T1^5*T2^5 - 17*T1^6*T2^5 - 
     14*T1^7*T2^5 + 76*T1^8*T2^5 + 17*T1^9*T2^5 + 16*T1^10*T2^5 + 
     2*T1^11*T2^5 - 12*T1*T2^6 - 45*T1^2*T2^6 - 46*T1^3*T2^6 + 25*T1^4*T2^6 - 
     17*T1^5*T2^6 - 216*T1^6*T2^6 + 153*T1^7*T2^6 - 113*T1^8*T2^6 - 
     26*T1^9*T2^6 - 13*T1^10*T2^6 - 12*T1^11*T2^6 + 2*T1*T2^7 + 
     16*T1^2*T2^7 + 57*T1^3*T2^7 - 24*T1^4*T2^7 - 14*T1^5*T2^7 + 
     153*T1^6*T2^7 - 57*T1^7*T2^7 + 21*T1^8*T2^7 + 56*T1^9*T2^7 - 
     3*T1^10*T2^7 + 16*T1^11*T2^7 + 2*T1^12*T2^7 - 4*T1^2*T2^8 - 
     10*T1^3*T2^8 - 37*T1^4*T2^8 + 76*T1^5*T2^8 - 113*T1^6*T2^8 + 
     21*T1^7*T2^8 + 27*T1^8*T2^8 - 64*T1^9*T2^8 + 19*T1^10*T2^8 - 
     10*T1^11*T2^8 - 4*T1^12*T2^8 + 6*T1^3*T2^9 - 10*T1^4*T2^9 + 
     17*T1^5*T2^9 - 26*T1^6*T2^9 + 56*T1^7*T2^9 - 64*T1^8*T2^9 + 
     44*T1^9*T2^9 - 3*T1^10*T2^9 - 10*T1^11*T2^9 + 6*T1^12*T2^9 - 
     4*T1^4*T2^10 + 16*T1^5*T2^10 - 13*T1^6*T2^10 - 3*T1^7*T2^10 + 
     19*T1^8*T2^10 - 3*T1^9*T2^10 - 13*T1^10*T2^10 + 16*T1^11*T2^10 - 
     4*T1^12*T2^10 + 2*T1^5*T2^11 - 12*T1^6*T2^11 + 16*T1^7*T2^11 - 
     10*T1^8*T2^11 - 10*T1^9*T2^11 + 16*T1^10*T2^11 - 12*T1^11*T2^11 + 
     2*T1^12*T2^11 + 2*T1^7*T2^12 - 4*T1^8*T2^12 + 6*T1^9*T2^12 - 
     4*T1^10*T2^12 + 2*T1^11*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 751] -> 
  {((1 - T + T^2)*(1 - 3*T + 5*T^2 - 5*T^3 + 5*T^4 - 3*T^5 + T^6))/T^4, 
   (-4 + 16*T1 - 36*T1^2 + 52*T1^3 - 60*T1^4 + 52*T1^5 - 36*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 96*T1^2*T2 - 100*T1^3*T2 + 84*T1^4*T2 - 
     28*T1^5*T2 - 12*T1^6*T2 + 44*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     36*T2^2 + 96*T1*T2^2 - 153*T1^2*T2^2 + 118*T1^3*T2^2 - 101*T1^4*T2^2 + 
     11*T1^5*T2^2 + 7*T1^6*T2^2 - 44*T1^7*T2^2 - 9*T1^8*T2^2 + 24*T1^9*T2^2 - 
     18*T1^10*T2^2 + 52*T2^3 - 100*T1*T2^3 + 118*T1^2*T2^3 - 3*T1^3*T2^3 + 
     15*T1^4*T2^3 + 106*T1^5*T2^3 - 44*T1^6*T2^3 + 66*T1^7*T2^3 + 
     75*T1^8*T2^3 - 53*T1^9*T2^3 + 20*T1^10*T2^3 + 13*T1^11*T2^3 - 60*T2^4 + 
     84*T1*T2^4 - 101*T1^2*T2^4 + 15*T1^3*T2^4 - 195*T1^4*T2^4 + 
     97*T1^5*T2^4 - 275*T1^6*T2^4 + 181*T1^7*T2^4 - 291*T1^8*T2^4 + 
     67*T1^9*T2^4 + 23*T1^10*T2^4 - 52*T1^11*T2^4 + 52*T2^5 - 28*T1*T2^5 + 
     11*T1^2*T2^5 + 106*T1^3*T2^5 + 97*T1^4*T2^5 + 112*T1^5*T2^5 + 
     151*T1^6*T2^5 - 10*T1^7*T2^5 + 176*T1^8*T2^5 + 121*T1^9*T2^5 - 
     84*T1^10*T2^5 + 29*T1^11*T2^5 + 52*T1^12*T2^5 - 13*T1^13*T2^5 - 
     36*T2^6 - 12*T1*T2^6 + 7*T1^2*T2^6 - 44*T1^3*T2^6 - 275*T1^4*T2^6 + 
     151*T1^5*T2^6 - 589*T1^6*T2^6 + 363*T1^7*T2^6 - 409*T1^8*T2^6 - 
     69*T1^9*T2^6 - 9*T1^10*T2^6 + 46*T1^11*T2^6 - 69*T1^12*T2^6 - 
     20*T1^13*T2^6 + 18*T1^14*T2^6 + 16*T2^7 + 44*T1*T2^7 - 44*T1^2*T2^7 + 
     66*T1^3*T2^7 + 181*T1^4*T2^7 - 10*T1^5*T2^7 + 363*T1^6*T2^7 - 
     12*T1^7*T2^7 + 50*T1^8*T2^7 + 252*T1^9*T2^7 + 33*T1^10*T2^7 - 
     83*T1^11*T2^7 + 19*T1^12*T2^7 + 73*T1^13*T2^7 - 24*T1^14*T2^7 - 
     12*T1^15*T2^7 - 4*T2^8 - 32*T1*T2^8 - 9*T1^2*T2^8 + 75*T1^3*T2^8 - 
     291*T1^4*T2^8 + 176*T1^5*T2^8 - 409*T1^6*T2^8 + 50*T1^7*T2^8 - 
     60*T1^8*T2^8 - 102*T1^9*T2^8 - 91*T1^10*T2^8 + 4*T1^11*T2^8 + 
     145*T1^12*T2^8 - 123*T1^13*T2^8 + 3*T1^14*T2^8 + 32*T1^15*T2^8 + 
     4*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 53*T1^3*T2^9 + 67*T1^4*T2^9 + 
     121*T1^5*T2^9 - 69*T1^6*T2^9 + 252*T1^7*T2^9 - 102*T1^8*T2^9 - 
     40*T1^9*T2^9 + 141*T1^10*T2^9 - 26*T1^11*T2^9 - 143*T1^12*T2^9 + 
     20*T1^13*T2^9 + 64*T1^14*T2^9 - 44*T1^15*T2^9 - 16*T1^16*T2^9 - 
     18*T1^2*T2^10 + 20*T1^3*T2^10 + 23*T1^4*T2^10 - 84*T1^5*T2^10 - 
     9*T1^6*T2^10 + 33*T1^7*T2^10 - 91*T1^8*T2^10 + 141*T1^9*T2^10 + 
     89*T1^10*T2^10 - 187*T1^11*T2^10 + 257*T1^12*T2^10 + 6*T1^13*T2^10 - 
     53*T1^14*T2^10 + 12*T1^15*T2^10 + 36*T1^16*T2^10 + 13*T1^3*T2^11 - 
     52*T1^4*T2^11 + 29*T1^5*T2^11 + 46*T1^6*T2^11 - 83*T1^7*T2^11 + 
     4*T1^8*T2^11 - 26*T1^9*T2^11 - 187*T1^10*T2^11 + 68*T1^11*T2^11 - 
     59*T1^12*T2^11 - 144*T1^13*T2^11 + 47*T1^14*T2^11 + 28*T1^15*T2^11 - 
     52*T1^16*T2^11 + 52*T1^5*T2^12 - 69*T1^6*T2^12 + 19*T1^7*T2^12 + 
     145*T1^8*T2^12 - 143*T1^9*T2^12 + 257*T1^10*T2^12 - 59*T1^11*T2^12 + 
     49*T1^12*T2^12 + 71*T1^13*T2^12 + 55*T1^14*T2^12 - 84*T1^15*T2^12 + 
     60*T1^16*T2^12 - 13*T1^5*T2^13 - 20*T1^6*T2^13 + 73*T1^7*T2^13 - 
     123*T1^8*T2^13 + 20*T1^9*T2^13 + 6*T1^10*T2^13 - 144*T1^11*T2^13 + 
     71*T1^12*T2^13 - 45*T1^13*T2^13 - 98*T1^14*T2^13 + 100*T1^15*T2^13 - 
     52*T1^16*T2^13 + 18*T1^6*T2^14 - 24*T1^7*T2^14 + 3*T1^8*T2^14 + 
     64*T1^9*T2^14 - 53*T1^10*T2^14 + 47*T1^11*T2^14 + 55*T1^12*T2^14 - 
     98*T1^13*T2^14 + 147*T1^14*T2^14 - 96*T1^15*T2^14 + 36*T1^16*T2^14 - 
     12*T1^7*T2^15 + 32*T1^8*T2^15 - 44*T1^9*T2^15 + 12*T1^10*T2^15 + 
     28*T1^11*T2^15 - 84*T1^12*T2^15 + 100*T1^13*T2^15 - 96*T1^14*T2^15 + 
     52*T1^15*T2^15 - 16*T1^16*T2^15 + 4*T1^8*T2^16 - 16*T1^9*T2^16 + 
     36*T1^10*T2^16 - 52*T1^11*T2^16 + 60*T1^12*T2^16 - 52*T1^13*T2^16 + 
     36*T1^14*T2^16 - 16*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 752] -> 
  {((1 - T + T^2)*(2 - 7*T + 11*T^2 - 7*T^3 + 2*T^4))/T^3, 
   (-31 + 140*T1 - 311*T1^2 + 389*T1^3 - 311*T1^4 + 140*T1^5 - 31*T1^6 + 
     140*T2 - 526*T1*T2 + 932*T1^2*T2 - 710*T1^3*T2 + 100*T1^4*T2 + 
     410*T1^5*T2 - 328*T1^6*T2 + 104*T1^7*T2 - 311*T2^2 + 932*T1*T2^2 - 
     1179*T1^2*T2^2 - 71*T1^3*T2^2 + 1177*T1^4*T2^2 - 1351*T1^5*T2^2 + 
     261*T1^6*T2^2 + 212*T1^7*T2^2 - 151*T1^8*T2^2 + 389*T2^3 - 710*T1*T2^3 - 
     71*T1^2*T2^3 + 2548*T1^3*T2^3 - 2703*T1^4*T2^3 + 1047*T1^5*T2^3 + 
     1378*T1^6*T2^3 - 1091*T1^7*T2^3 + 280*T1^8*T2^3 + 89*T1^9*T2^3 - 
     311*T2^4 + 100*T1*T2^4 + 1177*T1^2*T2^4 - 2703*T1^3*T2^4 - 
     227*T1^4*T2^4 + 3361*T1^5*T2^4 - 4547*T1^6*T2^4 + 1397*T1^7*T2^4 + 
     327*T1^8*T2^4 - 440*T1^9*T2^4 + 9*T1^10*T2^4 + 140*T2^5 + 410*T1*T2^5 - 
     1351*T1^2*T2^5 + 1047*T1^3*T2^5 + 3361*T1^4*T2^5 - 4914*T1^5*T2^5 + 
     2916*T1^6*T2^5 + 1641*T1^7*T2^5 - 2003*T1^8*T2^5 + 709*T1^9*T2^5 + 
     140*T1^10*T2^5 - 40*T1^11*T2^5 - 31*T2^6 - 328*T1*T2^6 + 261*T1^2*T2^6 + 
     1378*T1^3*T2^6 - 4547*T1^4*T2^6 + 2916*T1^5*T2^6 + 1248*T1^6*T2^6 - 
     4268*T1^7*T2^6 + 2233*T1^8*T2^6 + 58*T1^9*T2^6 - 575*T1^10*T2^6 + 
     104*T1^11*T2^6 + 17*T1^12*T2^6 + 104*T1*T2^7 + 212*T1^2*T2^7 - 
     1091*T1^3*T2^7 + 1397*T1^4*T2^7 + 1641*T1^5*T2^7 - 4268*T1^6*T2^7 + 
     3562*T1^7*T2^7 - 79*T1^8*T2^7 - 1653*T1^9*T2^7 + 969*T1^10*T2^7 - 
     58*T1^11*T2^7 - 76*T1^12*T2^7 - 151*T1^2*T2^8 + 280*T1^3*T2^8 + 
     327*T1^4*T2^8 - 2003*T1^5*T2^8 + 2233*T1^6*T2^8 - 79*T1^7*T2^8 - 
     2087*T1^8*T2^8 + 2097*T1^9*T2^8 - 523*T1^10*T2^8 - 260*T1^11*T2^8 + 
     169*T1^12*T2^8 + 89*T1^3*T2^9 - 440*T1^4*T2^9 + 709*T1^5*T2^9 + 
     58*T1^6*T2^9 - 1653*T1^7*T2^9 + 2097*T1^8*T2^9 - 1112*T1^9*T2^9 - 
     311*T1^10*T2^9 + 550*T1^11*T2^9 - 211*T1^12*T2^9 + 9*T1^4*T2^10 + 
     140*T1^5*T2^10 - 575*T1^6*T2^10 + 969*T1^7*T2^10 - 523*T1^8*T2^10 - 
     311*T1^9*T2^10 + 865*T1^10*T2^10 - 580*T1^11*T2^10 + 169*T1^12*T2^10 - 
     40*T1^5*T2^11 + 104*T1^6*T2^11 - 58*T1^7*T2^11 - 260*T1^8*T2^11 + 
     550*T1^9*T2^11 - 580*T1^10*T2^11 + 302*T1^11*T2^11 - 76*T1^12*T2^11 + 
     17*T1^6*T2^12 - 76*T1^7*T2^12 + 169*T1^8*T2^12 - 211*T1^9*T2^12 + 
     169*T1^10*T2^12 - 76*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 753] -> 
  {-(((1 - 3*T + T^2)*(1 - T + T^2)*(2 - 3*T + 2*T^2))/T^3), 
   -((-41 + 224*T1 - 486*T1^2 + 627*T1^3 - 486*T1^4 + 224*T1^5 - 41*T1^6 + 
      224*T2 - 1050*T1*T2 + 1681*T1^2*T2 - 1305*T1^3*T2 - 95*T1^4*T2 + 
      911*T1^5*T2 - 764*T1^6*T2 + 180*T1^7*T2 - 486*T2^2 + 1681*T1*T2^2 - 
      647*T1^2*T2^2 - 2719*T1^3*T2^2 + 5975*T1^4*T2^2 - 4639*T1^5*T2^2 + 
      1465*T1^6*T2^2 + 625*T1^7*T2^2 - 294*T1^8*T2^2 + 627*T2^3 - 
      1305*T1*T2^3 - 2719*T1^2*T2^3 + 7398*T1^3*T2^3 - 7765*T1^4*T2^3 + 
      245*T1^5*T2^3 + 4296*T1^6*T2^3 - 3751*T1^7*T2^3 + 213*T1^8*T2^3 + 
      255*T1^9*T2^3 - 486*T2^4 - 95*T1*T2^4 + 5975*T1^2*T2^4 - 
      7765*T1^3*T2^4 + 2411*T1^4*T2^4 + 7951*T1^5*T2^4 - 7005*T1^6*T2^4 + 
      1287*T1^7*T2^4 + 3081*T1^8*T2^4 - 843*T1^9*T2^4 - 102*T1^10*T2^4 + 
      224*T2^5 + 911*T1*T2^5 - 4639*T1^2*T2^5 + 245*T1^3*T2^5 + 
      7951*T1^4*T2^5 - 12544*T1^5*T2^5 + 2086*T1^6*T2^5 + 5407*T1^7*T2^5 - 
      5681*T1^8*T2^5 - 55*T1^9*T2^5 + 537*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 764*T1*T2^6 + 1465*T1^2*T2^6 + 4296*T1^3*T2^6 - 
      7005*T1^4*T2^6 + 2086*T1^5*T2^6 + 10296*T1^6*T2^6 - 10570*T1^7*T2^6 + 
      3911*T1^8*T2^6 + 2496*T1^9*T2^6 - 979*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 180*T1*T2^7 + 625*T1^2*T2^7 - 3751*T1^3*T2^7 + 
      1287*T1^4*T2^7 + 5407*T1^5*T2^7 - 10570*T1^6*T2^7 + 4060*T1^7*T2^7 + 
      2863*T1^8*T2^7 - 4639*T1^9*T2^7 + 833*T1^10*T2^7 + 251*T1^11*T2^7 - 
      40*T1^12*T2^7 - 294*T1^2*T2^8 + 213*T1^3*T2^8 + 3081*T1^4*T2^8 - 
      5681*T1^5*T2^8 + 3911*T1^6*T2^8 + 2863*T1^7*T2^8 - 5505*T1^8*T2^8 + 
      3371*T1^9*T2^8 + 187*T1^10*T2^8 - 535*T1^11*T2^8 + 90*T1^12*T2^8 + 
      255*T1^3*T2^9 - 843*T1^4*T2^9 - 55*T1^5*T2^9 + 2496*T1^6*T2^9 - 
      4639*T1^7*T2^9 + 3371*T1^8*T2^9 - 606*T1^9*T2^9 - 1087*T1^10*T2^9 + 
      675*T1^11*T2^9 - 117*T1^12*T2^9 - 102*T1^4*T2^10 + 537*T1^5*T2^10 - 
      979*T1^6*T2^10 + 833*T1^7*T2^10 + 187*T1^8*T2^10 - 1087*T1^9*T2^10 + 
      1133*T1^10*T2^10 - 519*T1^11*T2^10 + 90*T1^12*T2^10 + 4*T1^5*T2^11 - 
      60*T1^6*T2^11 + 251*T1^7*T2^11 - 535*T1^8*T2^11 + 675*T1^9*T2^11 - 
      519*T1^10*T2^11 + 226*T1^11*T2^11 - 40*T1^12*T2^11 + 7*T1^6*T2^12 - 
      40*T1^7*T2^12 + 90*T1^8*T2^12 - 117*T1^9*T2^12 + 90*T1^10*T2^12 - 
      40*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 754] -> 
  {((1 - T + T^2)*(1 - 4*T + 8*T^2 - 9*T^3 + 8*T^4 - 4*T^5 + T^6))/T^4, 
   (-4 + 20*T1 - 52*T1^2 + 84*T1^3 - 100*T1^4 + 84*T1^5 - 52*T1^6 + 20*T1^7 - 
     4*T1^8 + 20*T2 - 85*T1*T2 + 185*T1^2*T2 - 225*T1^3*T2 + 185*T1^4*T2 - 
     45*T1^5*T2 - 55*T1^6*T2 + 95*T1^7*T2 - 55*T1^8*T2 + 15*T1^9*T2 - 
     52*T2^2 + 185*T1*T2^2 - 324*T1^2*T2^2 + 238*T1^3*T2^2 - 49*T1^4*T2^2 - 
     252*T1^5*T2^2 + 263*T1^6*T2^2 - 178*T1^7*T2^2 - 12*T1^8*T2^2 + 
     55*T1^9*T2^2 - 26*T1^10*T2^2 + 84*T2^3 - 225*T1*T2^3 + 238*T1^2*T2^3 + 
     156*T1^3*T2^3 - 417*T1^4*T2^3 + 653*T1^5*T2^3 - 195*T1^6*T2^3 - 
     97*T1^7*T2^3 + 372*T1^8*T2^3 - 191*T1^9*T2^3 + 25*T1^10*T2^3 + 
     21*T1^11*T2^3 - 100*T2^4 + 185*T1*T2^4 - 49*T1^2*T2^4 - 417*T1^3*T2^4 + 
     248*T1^4*T2^4 - 82*T1^5*T2^4 - 858*T1^6*T2^4 + 838*T1^7*T2^4 - 
     712*T1^8*T2^4 + 3*T1^9*T2^4 + 201*T1^10*T2^4 - 105*T1^11*T2^4 + 
     84*T2^5 - 45*T1*T2^5 - 252*T1^2*T2^5 + 653*T1^3*T2^5 - 82*T1^4*T2^5 - 
     191*T1^5*T2^5 + 1163*T1^6*T2^5 - 535*T1^7*T2^5 + 151*T1^8*T2^5 + 
     629*T1^9*T2^5 - 379*T1^10*T2^5 - 15*T1^11*T2^5 + 105*T1^12*T2^5 - 
     21*T1^13*T2^5 - 52*T2^6 - 55*T1*T2^6 + 263*T1^2*T2^6 - 195*T1^3*T2^6 - 
     858*T1^4*T2^6 + 1163*T1^5*T2^6 - 1776*T1^6*T2^6 + 396*T1^7*T2^6 + 
     240*T1^8*T2^6 - 795*T1^9*T2^6 + 72*T1^10*T2^6 + 377*T1^11*T2^6 - 
     173*T1^12*T2^6 - 25*T1^13*T2^6 + 26*T1^14*T2^6 + 20*T2^7 + 95*T1*T2^7 - 
     178*T1^2*T2^7 - 97*T1^3*T2^7 + 838*T1^4*T2^7 - 535*T1^5*T2^7 + 
     396*T1^6*T2^7 + 1010*T1^7*T2^7 - 934*T1^8*T2^7 + 371*T1^9*T2^7 + 
     643*T1^10*T2^7 - 709*T1^11*T2^7 - 17*T1^12*T2^7 + 173*T1^13*T2^7 - 
     55*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 12*T1^2*T2^8 + 
     372*T1^3*T2^8 - 712*T1^4*T2^8 + 151*T1^5*T2^8 + 240*T1^6*T2^8 - 
     934*T1^7*T2^8 + 312*T1^8*T2^8 + 594*T1^9*T2^8 - 694*T1^10*T2^8 + 
     121*T1^11*T2^8 + 716*T1^12*T2^8 - 344*T1^13*T2^8 + 18*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 55*T1^2*T2^9 - 
     191*T1^3*T2^9 + 3*T1^4*T2^9 + 629*T1^5*T2^9 - 795*T1^6*T2^9 + 
     371*T1^7*T2^9 + 594*T1^8*T2^9 - 1350*T1^9*T2^9 + 346*T1^10*T2^9 + 
     383*T1^11*T2^9 - 918*T1^12*T2^9 + 83*T1^13*T2^9 + 160*T1^14*T2^9 - 
     95*T1^15*T2^9 - 20*T1^16*T2^9 - 26*T1^2*T2^10 + 25*T1^3*T2^10 + 
     201*T1^4*T2^10 - 379*T1^5*T2^10 + 72*T1^6*T2^10 + 643*T1^7*T2^10 - 
     694*T1^8*T2^10 + 346*T1^9*T2^10 + 1322*T1^10*T2^10 - 1315*T1^11*T2^10 + 
     1002*T1^12*T2^10 + 193*T1^13*T2^10 - 235*T1^14*T2^10 + 55*T1^15*T2^10 + 
     52*T1^16*T2^10 + 21*T1^3*T2^11 - 105*T1^4*T2^11 - 15*T1^5*T2^11 + 
     377*T1^6*T2^11 - 709*T1^7*T2^11 + 121*T1^8*T2^11 + 383*T1^9*T2^11 - 
     1315*T1^10*T2^11 + 463*T1^11*T2^11 + 2*T1^12*T2^11 - 655*T1^13*T2^11 + 
     222*T1^14*T2^11 + 45*T1^15*T2^11 - 84*T1^16*T2^11 + 105*T1^5*T2^12 - 
     173*T1^6*T2^12 - 17*T1^7*T2^12 + 716*T1^8*T2^12 - 918*T1^9*T2^12 + 
     1002*T1^10*T2^12 + 2*T1^11*T2^12 - 244*T1^12*T2^12 + 403*T1^13*T2^12 + 
     77*T1^14*T2^12 - 185*T1^15*T2^12 + 100*T1^16*T2^12 - 21*T1^5*T2^13 - 
     25*T1^6*T2^13 + 173*T1^7*T2^13 - 344*T1^8*T2^13 + 83*T1^9*T2^13 + 
     193*T1^10*T2^13 - 655*T1^11*T2^13 + 403*T1^12*T2^13 - 128*T1^13*T2^13 - 
     256*T1^14*T2^13 + 225*T1^15*T2^13 - 84*T1^16*T2^13 + 26*T1^6*T2^14 - 
     55*T1^7*T2^14 + 18*T1^8*T2^14 + 160*T1^9*T2^14 - 235*T1^10*T2^14 + 
     222*T1^11*T2^14 + 77*T1^12*T2^14 - 256*T1^13*T2^14 + 330*T1^14*T2^14 - 
     185*T1^15*T2^14 + 52*T1^16*T2^14 - 15*T1^7*T2^15 + 55*T1^8*T2^15 - 
     95*T1^9*T2^15 + 55*T1^10*T2^15 + 45*T1^11*T2^15 - 185*T1^12*T2^15 + 
     225*T1^13*T2^15 - 185*T1^14*T2^15 + 85*T1^15*T2^15 - 20*T1^16*T2^15 + 
     4*T1^8*T2^16 - 20*T1^9*T2^16 + 52*T1^10*T2^16 - 84*T1^11*T2^16 + 
     100*T1^12*T2^16 - 84*T1^13*T2^16 + 52*T1^14*T2^16 - 20*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 755] -> 
  {(1 - 10*T + 29*T^2 - 39*T^3 + 29*T^4 - 10*T^5 + T^6)/T^3, 
   (-4 + 40*T1 - 116*T1^2 + 156*T1^3 - 116*T1^4 + 40*T1^5 - 4*T1^6 + 40*T2 - 
     372*T1*T2 + 862*T1^2*T2 - 688*T1^3*T2 - 8*T1^4*T2 + 472*T1^5*T2 - 
     262*T1^6*T2 + 30*T1^7*T2 - 116*T2^2 + 862*T1*T2^2 - 352*T1^2*T2^2 - 
     3796*T1^3*T2^2 + 6864*T1^4*T2^2 - 5478*T1^5*T2^2 + 1272*T1^6*T2^2 + 
     282*T1^7*T2^2 - 58*T1^8*T2^2 + 156*T2^3 - 688*T1*T2^3 - 3796*T1^2*T2^3 + 
     13739*T1^3*T2^3 - 13030*T1^4*T2^3 + 2127*T1^5*T2^3 + 7109*T1^6*T2^3 - 
     3999*T1^7*T2^3 + 192*T1^8*T2^3 + 39*T1^9*T2^3 - 116*T2^4 - 8*T1*T2^4 + 
     6864*T1^2*T2^4 - 13030*T1^3*T2^4 - 3277*T1^4*T2^4 + 22039*T1^5*T2^4 - 
     22649*T1^6*T2^4 + 4286*T1^7*T2^4 + 2428*T1^8*T2^4 - 388*T1^9*T2^4 + 
     40*T2^5 + 472*T1*T2^5 - 5478*T1^2*T2^5 + 2127*T1^3*T2^5 + 
     22039*T1^4*T2^5 - 30481*T1^5*T2^5 + 13047*T1^6*T2^5 + 11280*T1^7*T2^5 - 
     8712*T1^8*T2^5 + 641*T1^9*T2^5 + 102*T1^10*T2^5 - 10*T1^11*T2^5 - 
     4*T2^6 - 262*T1*T2^6 + 1272*T1^2*T2^6 + 7109*T1^3*T2^6 - 
     22649*T1^4*T2^6 + 13047*T1^5*T2^6 + 11904*T1^6*T2^6 - 24591*T1^7*T2^6 + 
     9021*T1^8*T2^6 + 1655*T1^9*T2^6 - 872*T1^10*T2^6 + 78*T1^11*T2^6 + 
     2*T1^12*T2^6 + 30*T1*T2^7 + 282*T1^2*T2^7 - 3999*T1^3*T2^7 + 
     4286*T1^4*T2^7 + 11280*T1^5*T2^7 - 24591*T1^6*T2^7 + 18937*T1^7*T2^7 + 
     521*T1^8*T2^7 - 6553*T1^9*T2^7 + 2120*T1^10*T2^7 - 88*T1^11*T2^7 - 
     20*T1^12*T2^7 - 58*T1^2*T2^8 + 192*T1^3*T2^8 + 2428*T1^4*T2^8 - 
     8712*T1^5*T2^8 + 9021*T1^6*T2^8 + 521*T1^7*T2^8 - 10351*T1^8*T2^8 + 
     8604*T1^9*T2^8 - 2008*T1^10*T2^8 - 188*T1^11*T2^8 + 58*T1^12*T2^8 + 
     39*T1^3*T2^9 - 388*T1^4*T2^9 + 641*T1^5*T2^9 + 1655*T1^6*T2^9 - 
     6553*T1^7*T2^9 + 8604*T1^8*T2^9 - 4975*T1^9*T2^9 + 438*T1^10*T2^9 + 
     492*T1^11*T2^9 - 78*T1^12*T2^9 + 102*T1^5*T2^10 - 872*T1^6*T2^10 + 
     2120*T1^7*T2^10 - 2008*T1^8*T2^10 + 438*T1^9*T2^10 + 752*T1^10*T2^10 - 
     478*T1^11*T2^10 + 58*T1^12*T2^10 - 10*T1^5*T2^11 + 78*T1^6*T2^11 - 
     88*T1^7*T2^11 - 188*T1^8*T2^11 + 492*T1^9*T2^11 - 478*T1^10*T2^11 + 
     188*T1^11*T2^11 - 20*T1^12*T2^11 + 2*T1^6*T2^12 - 20*T1^7*T2^12 + 
     58*T1^8*T2^12 - 78*T1^9*T2^12 + 58*T1^10*T2^12 - 20*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 756] -> 
  {((1 - T + T^2)*(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4))/T^3, 
   (-31 + 155*T1 - 356*T1^2 + 449*T1^3 - 356*T1^4 + 155*T1^5 - 31*T1^6 + 
     155*T2 - 660*T1*T2 + 1205*T1^2*T2 - 925*T1^3*T2 + 115*T1^4*T2 + 
     545*T1^5*T2 - 420*T1^6*T2 + 115*T1^7*T2 - 356*T2^2 + 1205*T1*T2^2 - 
     1361*T1^2*T2^2 - 660*T1^3*T2^2 + 2383*T1^4*T2^2 - 2408*T1^5*T2^2 + 
     571*T1^6*T2^2 + 285*T1^7*T2^2 - 172*T1^8*T2^2 + 449*T2^3 - 925*T1*T2^3 - 
     660*T1^2*T2^3 + 4600*T1^3*T2^3 - 4729*T1^4*T2^3 + 1489*T1^5*T2^3 + 
     2404*T1^6*T2^3 - 1902*T1^7*T2^3 + 355*T1^8*T2^3 + 101*T1^9*T2^3 - 
     356*T2^4 + 115*T1*T2^4 + 2383*T1^2*T2^4 - 4729*T1^3*T2^4 - 
     43*T1^4*T2^4 + 5729*T1^5*T2^4 - 7199*T1^6*T2^4 + 2115*T1^7*T2^4 + 
     815*T1^8*T2^4 - 565*T1^9*T2^4 + 12*T1^10*T2^4 + 155*T2^5 + 545*T1*T2^5 - 
     2408*T1^2*T2^5 + 1489*T1^3*T2^5 + 5729*T1^4*T2^5 - 8687*T1^5*T2^5 + 
     4427*T1^6*T2^5 + 2808*T1^7*T2^5 - 3477*T1^8*T2^5 + 858*T1^9*T2^5 + 
     165*T1^10*T2^5 - 45*T1^11*T2^5 - 31*T2^6 - 420*T1*T2^6 + 571*T1^2*T2^6 + 
     2404*T1^3*T2^6 - 7199*T1^4*T2^6 + 4427*T1^5*T2^6 + 3396*T1^6*T2^6 - 
     7515*T1^7*T2^6 + 3971*T1^8*T2^6 + 328*T1^9*T2^6 - 761*T1^10*T2^6 + 
     140*T1^11*T2^6 + 17*T1^12*T2^6 + 115*T1*T2^7 + 285*T1^2*T2^7 - 
     1902*T1^3*T2^7 + 2115*T1^4*T2^7 + 2808*T1^5*T2^7 - 7515*T1^6*T2^7 + 
     5599*T1^7*T2^7 - 113*T1^8*T2^7 - 2851*T1^9*T2^7 + 1364*T1^10*T2^7 - 
     95*T1^11*T2^7 - 85*T1^12*T2^7 - 172*T1^2*T2^8 + 355*T1^3*T2^8 + 
     815*T1^4*T2^8 - 3477*T1^5*T2^8 + 3971*T1^6*T2^8 - 113*T1^7*T2^8 - 
     3185*T1^8*T2^8 + 3367*T1^9*T2^8 - 753*T1^10*T2^8 - 325*T1^11*T2^8 + 
     196*T1^12*T2^8 + 101*T1^3*T2^9 - 565*T1^4*T2^9 + 858*T1^5*T2^9 + 
     328*T1^6*T2^9 - 2851*T1^7*T2^9 + 3367*T1^8*T2^9 - 1868*T1^9*T2^9 - 
     384*T1^10*T2^9 + 715*T1^11*T2^9 - 247*T1^12*T2^9 + 12*T1^4*T2^10 + 
     165*T1^5*T2^10 - 761*T1^6*T2^10 + 1364*T1^7*T2^10 - 753*T1^8*T2^10 - 
     384*T1^9*T2^10 + 1171*T1^10*T2^10 - 755*T1^11*T2^10 + 196*T1^12*T2^10 - 
     45*T1^5*T2^11 + 140*T1^6*T2^11 - 95*T1^7*T2^11 - 325*T1^8*T2^11 + 
     715*T1^9*T2^11 - 755*T1^10*T2^11 + 380*T1^11*T2^11 - 85*T1^12*T2^11 + 
     17*T1^6*T2^12 - 85*T1^7*T2^12 + 196*T1^8*T2^12 - 247*T1^9*T2^12 + 
     196*T1^10*T2^12 - 85*T1^11*T2^12 + 17*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 757] -> 
  {((1 - 3*T + T^2)*(1 - 6*T + 9*T^2 - 6*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 112*T1^2 + 156*T1^3 - 112*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     297*T1*T2 + 763*T1^2*T2 - 646*T1^3*T2 - 43*T1^4*T2 + 430*T1^5*T2 - 
     207*T1^6*T2 + 27*T1^7*T2 - 112*T2^2 + 763*T1*T2^2 - 1001*T1^2*T2^2 - 
     1866*T1^3*T2^2 + 4647*T1^4*T2^2 - 3546*T1^5*T2^2 + 511*T1^6*T2^2 + 
     259*T1^7*T2^2 - 56*T1^8*T2^2 + 156*T2^3 - 646*T1*T2^3 - 1866*T1^2*T2^3 + 
     10177*T1^3*T2^3 - 11063*T1^4*T2^3 + 1492*T1^5*T2^3 + 5533*T1^6*T2^3 - 
     2622*T1^7*T2^3 + 155*T1^8*T2^3 + 39*T1^9*T2^3 - 112*T2^4 - 43*T1*T2^4 + 
     4647*T1^2*T2^4 - 11063*T1^3*T2^4 - 1483*T1^4*T2^4 + 20261*T1^5*T2^4 - 
     19519*T1^6*T2^4 + 3523*T1^7*T2^4 + 1465*T1^8*T2^4 - 349*T1^9*T2^4 + 
     36*T2^5 + 430*T1*T2^5 - 3546*T1^2*T2^5 + 1492*T1^3*T2^5 + 
     20261*T1^4*T2^5 - 31987*T1^5*T2^5 + 13655*T1^6*T2^5 + 8837*T1^7*T2^5 - 
     7001*T1^8*T2^5 + 906*T1^9*T2^5 + 79*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     207*T1*T2^6 + 511*T1^2*T2^6 + 5533*T1^3*T2^6 - 19519*T1^4*T2^6 + 
     13655*T1^5*T2^6 + 12636*T1^6*T2^6 - 24691*T1^7*T2^6 + 10349*T1^8*T2^6 + 
     259*T1^9*T2^6 - 669*T1^10*T2^6 + 63*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 259*T1^2*T2^7 - 2622*T1^3*T2^7 + 3523*T1^4*T2^7 + 
     8837*T1^5*T2^7 - 24691*T1^6*T2^7 + 20951*T1^7*T2^7 - 2587*T1^8*T2^7 - 
     4970*T1^9*T2^7 + 1830*T1^10*T2^7 - 92*T1^11*T2^7 - 18*T1^12*T2^7 - 
     56*T1^2*T2^8 + 155*T1^3*T2^8 + 1465*T1^4*T2^8 - 7001*T1^5*T2^8 + 
     10349*T1^6*T2^8 - 2587*T1^7*T2^8 - 7687*T1^8*T2^8 + 7585*T1^9*T2^8 - 
     1717*T1^10*T2^8 - 151*T1^11*T2^8 + 56*T1^12*T2^8 + 39*T1^3*T2^9 - 
     349*T1^4*T2^9 + 906*T1^5*T2^9 + 259*T1^6*T2^9 - 4970*T1^7*T2^9 + 
     7585*T1^8*T2^9 - 4385*T1^9*T2^9 + 150*T1^10*T2^9 + 452*T1^11*T2^9 - 
     78*T1^12*T2^9 + 79*T1^5*T2^10 - 669*T1^6*T2^10 + 1830*T1^7*T2^10 - 
     1717*T1^8*T2^10 + 150*T1^9*T2^10 + 843*T1^10*T2^10 - 425*T1^11*T2^10 + 
     56*T1^12*T2^10 - 9*T1^5*T2^11 + 63*T1^6*T2^11 - 92*T1^7*T2^11 - 
     151*T1^8*T2^11 + 452*T1^9*T2^11 - 425*T1^10*T2^11 + 153*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 56*T1^8*T2^12 - 
     78*T1^9*T2^12 + 56*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 758] -> 
  {(5 - 14*T + 21*T^2 - 23*T^3 + 21*T^4 - 14*T^5 + 5*T^6)/T^3, 
   -((770 - 2125*T1 + 3155*T1^2 - 3438*T1^3 + 3155*T1^4 - 2125*T1^5 + 
      770*T1^6 - 2125*T2 + 4110*T1*T2 - 3855*T1^2*T2 + 2268*T1^3*T2 - 
      812*T1^4*T2 - 1405*T1^5*T2 + 2780*T1^6*T2 - 1775*T1^7*T2 + 3155*T2^2 - 
      3855*T1*T2^2 + 1414*T1^2*T2^2 + 585*T1^3*T2^2 - 942*T1^4*T2^2 + 
      2475*T1^5*T2^2 - 1946*T1^6*T2^2 - 915*T1^7*T2^2 + 2105*T1^8*T2^2 - 
      3438*T2^3 + 2268*T1*T2^3 + 585*T1^2*T2^3 - 897*T1^3*T2^3 - 
      217*T1^4*T2^3 - 1078*T1^5*T2^3 - 267*T1^6*T2^3 + 2244*T1^7*T2^3 - 
      1092*T1^8*T2^3 - 1713*T1^9*T2^3 + 3155*T2^4 - 812*T1*T2^4 - 
      942*T1^2*T2^4 - 217*T1^3*T2^4 + 1205*T1^4*T2^4 + 847*T1^5*T2^4 + 
      281*T1^6*T2^4 - 861*T1^7*T2^4 - 746*T1^8*T2^4 + 1848*T1^9*T2^4 + 
      1055*T1^10*T2^4 - 2125*T2^5 - 1405*T1*T2^5 + 2475*T1^2*T2^5 - 
      1078*T1^3*T2^5 + 847*T1^4*T2^5 - 2571*T1^5*T2^5 + 397*T1^6*T2^5 + 
      406*T1^7*T2^5 + 217*T1^8*T2^5 - 108*T1^9*T2^5 - 1895*T1^10*T2^5 - 
      375*T1^11*T2^5 + 770*T2^6 + 2780*T1*T2^6 - 1946*T1^2*T2^6 - 
      267*T1^3*T2^6 + 281*T1^4*T2^6 + 397*T1^5*T2^6 + 2208*T1^6*T2^6 - 
      2109*T1^7*T2^6 + 1051*T1^8*T2^6 - 933*T1^9*T2^6 + 1470*T1^10*T2^6 + 
      960*T1^11*T2^6 + 20*T1^12*T2^6 - 1775*T1*T2^7 - 915*T1^2*T2^7 + 
      2244*T1^3*T2^7 - 861*T1^4*T2^7 + 406*T1^5*T2^7 - 2109*T1^6*T2^7 + 
      859*T1^7*T2^7 - 35*T1^8*T2^7 + 434*T1^9*T2^7 - 339*T1^10*T2^7 - 
      1405*T1^11*T2^7 - 25*T1^12*T2^7 + 2105*T1^2*T2^8 - 1092*T1^3*T2^8 - 
      746*T1^4*T2^8 + 217*T1^5*T2^8 + 1051*T1^6*T2^8 - 35*T1^7*T2^8 + 
      127*T1^8*T2^8 - 427*T1^9*T2^8 - 550*T1^10*T2^8 + 1568*T1^11*T2^8 + 
      5*T1^12*T2^8 - 1713*T1^3*T2^9 + 1848*T1^4*T2^9 - 108*T1^5*T2^9 - 
      933*T1^6*T2^9 + 434*T1^7*T2^9 - 427*T1^8*T2^9 - 303*T1^9*T2^9 + 
      1551*T1^10*T2^9 - 1512*T1^11*T2^9 + 12*T1^12*T2^9 + 1055*T1^4*T2^10 - 
      1895*T1^5*T2^10 + 1470*T1^6*T2^10 - 339*T1^7*T2^10 - 550*T1^8*T2^10 + 
      1551*T1^9*T2^10 - 1890*T1^10*T2^10 + 1045*T1^11*T2^10 + 5*T1^12*T2^10 - 
      375*T1^5*T2^11 + 960*T1^6*T2^11 - 1405*T1^7*T2^11 + 1568*T1^8*T2^11 - 
      1512*T1^9*T2^11 + 1045*T1^10*T2^11 - 370*T1^11*T2^11 - 25*T1^12*T2^11 + 
      20*T1^6*T2^12 - 25*T1^7*T2^12 + 5*T1^8*T2^12 + 12*T1^9*T2^12 + 
      5*T1^10*T2^12 - 25*T1^11*T2^12 + 20*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 759] -> 
  {-((7 - 28*T + 41*T^2 - 28*T^3 + 7*T^4)/T^2), 
   -((-1092 + 4326*T1 - 6302*T1^2 + 4326*T1^3 - 1092*T1^4 + 4326*T2 - 
      14198*T1*T2 + 13333*T1^2*T2 - 191*T1^3*T2 - 7338*T1^4*T2 + 
      2954*T1^5*T2 - 6302*T2^2 + 13333*T1*T2^2 + 7387*T1^2*T2^2 - 
      33179*T1^3*T2^2 + 26903*T1^4*T2^2 - 2739*T1^5*T2^2 - 2284*T1^6*T2^2 + 
      4326*T2^3 - 191*T1*T2^3 - 33179*T1^2*T2^3 + 45798*T1^3*T2^3 - 
      12834*T1^4*T2^3 - 17107*T1^5*T2^3 + 8237*T1^6*T2^3 + 210*T1^7*T2^3 - 
      1092*T2^4 - 7338*T1*T2^4 + 26903*T1^2*T2^4 - 12834*T1^3*T2^4 - 
      25908*T1^4*T2^4 + 34990*T1^5*T2^4 - 8965*T1^6*T2^4 - 1850*T1^7*T2^4 + 
      280*T1^8*T2^4 + 2954*T1*T2^5 - 2739*T1^2*T2^5 - 17107*T1^3*T2^5 + 
      34990*T1^4*T2^5 - 23642*T1^5*T2^5 - 1035*T1^6*T2^5 + 5689*T1^7*T2^5 - 
      1162*T1^8*T2^5 - 2284*T1^2*T2^6 + 8237*T1^3*T2^6 - 8965*T1^4*T2^6 - 
      1035*T1^5*T2^6 + 10551*T1^6*T2^6 - 7835*T1^7*T2^6 + 1734*T1^8*T2^6 + 
      210*T1^3*T2^7 - 1850*T1^4*T2^7 + 5689*T1^5*T2^7 - 7835*T1^6*T2^7 + 
      5010*T1^7*T2^7 - 1162*T1^8*T2^7 + 280*T1^4*T2^8 - 1162*T1^5*T2^8 + 
      1734*T1^6*T2^8 - 1162*T1^7*T2^8 + 280*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 760] -> 
  {-((2 - 11*T + 29*T^2 - 41*T^3 + 29*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-25 + 136*T1 - 358*T1^2 + 507*T1^3 - 358*T1^4 + 136*T1^5 - 25*T1^6 + 
      136*T2 - 648*T1*T2 + 1448*T1^2*T2 - 1446*T1^3*T2 + 94*T1^4*T2 + 
      568*T1^5*T2 - 362*T1^6*T2 + 92*T1^7*T2 - 358*T2^2 + 1448*T1*T2^2 - 
      2563*T1^2*T2^2 + 888*T1^3*T2^2 + 3079*T1^4*T2^2 - 2592*T1^5*T2^2 + 
      569*T1^6*T2^2 + 172*T1^7*T2^2 - 126*T1^8*T2^2 + 507*T2^3 - 
      1446*T1*T2^3 + 888*T1^2*T2^3 + 4677*T1^3*T2^3 - 9761*T1^4*T2^3 + 
      2729*T1^5*T2^3 + 2495*T1^6*T2^3 - 2099*T1^7*T2^3 + 622*T1^8*T2^3 + 
      15*T1^9*T2^3 - 358*T2^4 + 94*T1*T2^4 + 3079*T1^2*T2^4 - 
      9761*T1^3*T2^4 + 8036*T1^4*T2^4 + 9568*T1^5*T2^4 - 12760*T1^6*T2^4 + 
      5081*T1^7*T2^4 - 115*T1^8*T2^4 - 654*T1^9*T2^4 + 106*T1^10*T2^4 + 
      136*T2^5 + 568*T1*T2^5 - 2592*T1^2*T2^5 + 2729*T1^3*T2^5 + 
      9568*T1^4*T2^5 - 28100*T1^5*T2^5 + 18280*T1^6*T2^5 - 31*T1^7*T2^5 - 
      5057*T1^8*T2^5 + 2367*T1^9*T2^5 - 136*T1^10*T2^5 - 84*T1^11*T2^5 - 
      25*T2^6 - 362*T1*T2^6 + 569*T1^2*T2^6 + 2495*T1^3*T2^6 - 
      12760*T1^4*T2^6 + 18280*T1^5*T2^6 + 1956*T1^6*T2^6 - 19376*T1^7*T2^6 + 
      13506*T1^8*T2^6 - 2955*T1^9*T2^6 - 695*T1^10*T2^6 + 342*T1^11*T2^6 + 
      23*T1^12*T2^6 + 92*T1*T2^7 + 172*T1^2*T2^7 - 2099*T1^3*T2^7 + 
      5081*T1^4*T2^7 - 31*T1^5*T2^7 - 19376*T1^6*T2^7 + 27004*T1^7*T2^7 - 
      9630*T1^8*T2^7 - 2705*T1^9*T2^7 + 2860*T1^10*T2^7 - 532*T1^11*T2^7 - 
      128*T1^12*T2^7 - 126*T1^2*T2^8 + 622*T1^3*T2^8 - 115*T1^4*T2^8 - 
      5057*T1^5*T2^8 + 13506*T1^6*T2^8 - 9630*T1^7*T2^8 - 7290*T1^8*T2^8 + 
      9785*T1^9*T2^8 - 3309*T1^10*T2^8 - 126*T1^11*T2^8 + 338*T1^12*T2^8 + 
      15*T1^3*T2^9 - 654*T1^4*T2^9 + 2367*T1^5*T2^9 - 2955*T1^6*T2^9 - 
      2705*T1^7*T2^9 + 9785*T1^8*T2^9 - 5137*T1^9*T2^9 - 620*T1^10*T2^9 + 
      1414*T1^11*T2^9 - 477*T1^12*T2^9 + 106*T1^4*T2^10 - 136*T1^5*T2^10 - 
      695*T1^6*T2^10 + 2860*T1^7*T2^10 - 3309*T1^8*T2^10 - 620*T1^9*T2^10 + 
      2437*T1^10*T2^10 - 1412*T1^11*T2^10 + 338*T1^12*T2^10 - 84*T1^5*T2^11 + 
      342*T1^6*T2^11 - 532*T1^7*T2^11 - 126*T1^8*T2^11 + 1414*T1^9*T2^11 - 
      1412*T1^10*T2^11 + 628*T1^11*T2^11 - 128*T1^12*T2^11 + 23*T1^6*T2^12 - 
      128*T1^7*T2^12 + 338*T1^8*T2^12 - 477*T1^9*T2^12 + 338*T1^10*T2^12 - 
      128*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 761] -> 
  {(1 - 5*T + 10*T^2 - 10*T^3 + 9*T^4 - 10*T^5 + 10*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 60*T1^3 - 54*T1^4 + 60*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 50*T1^3*T2 + 20*T1^4*T2 - 
     75*T1^5*T2 + 50*T1^6*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     60*T2^2 + 175*T1*T2^2 - 15*T1^2*T2^2 - 448*T1^3*T2^2 + 309*T1^4*T2^2 - 
     123*T1^5*T2^2 + 289*T1^6*T2^2 - 548*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 60*T2^3 - 50*T1*T2^3 - 448*T1^2*T2^3 + 
     914*T1^3*T2^3 - 99*T1^4*T2^3 - 62*T1^5*T2^3 - 412*T1^6*T2^3 + 
     481*T1^7*T2^3 + 494*T1^8*T2^3 - 448*T1^9*T2^3 + 50*T1^10*T2^3 + 
     30*T1^11*T2^3 - 54*T2^4 + 20*T1*T2^4 + 309*T1^2*T2^4 - 99*T1^3*T2^4 - 
     1224*T1^4*T2^4 + 849*T1^5*T2^4 - 232*T1^6*T2^4 + 569*T1^7*T2^4 - 
     1436*T1^8*T2^4 + 441*T1^9*T2^4 + 169*T1^10*T2^4 - 60*T1^11*T2^4 - 
     18*T1^12*T2^4 + 60*T2^5 - 75*T1*T2^5 - 123*T1^2*T2^5 - 62*T1^3*T2^5 + 
     849*T1^4*T2^5 - 29*T1^5*T2^5 - 272*T1^6*T2^5 - 222*T1^7*T2^5 + 
     631*T1^8*T2^5 + 384*T1^9*T2^5 - 312*T1^10*T2^5 - 48*T1^11*T2^5 + 
     40*T1^12*T2^5 + 10*T1^13*T2^5 - 60*T2^6 + 50*T1*T2^6 + 289*T1^2*T2^6 - 
     412*T1^3*T2^6 - 232*T1^4*T2^6 - 272*T1^5*T2^6 + 371*T1^6*T2^6 - 
     49*T1^7*T2^6 - 269*T1^8*T2^6 - 172*T1^9*T2^6 - 72*T1^10*T2^6 + 
     88*T1^11*T2^6 + 69*T1^12*T2^6 - 50*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     548*T1^2*T2^7 + 481*T1^3*T2^7 + 569*T1^4*T2^7 - 222*T1^5*T2^7 - 
     49*T1^6*T2^7 - 247*T1^7*T2^7 + 503*T1^8*T2^7 - 49*T1^9*T2^7 - 
     172*T1^10*T2^7 + 294*T1^11*T2^7 - 259*T1^12*T2^7 + 52*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     494*T1^3*T2^8 - 1436*T1^4*T2^8 + 631*T1^5*T2^8 - 269*T1^6*T2^8 + 
     503*T1^7*T2^8 - 204*T1^8*T2^8 - 387*T1^9*T2^8 + 511*T1^10*T2^8 - 
     299*T1^11*T2^8 + 136*T1^12*T2^8 + 114*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     448*T1^3*T2^9 + 441*T1^4*T2^9 + 384*T1^5*T2^9 - 172*T1^6*T2^9 - 
     49*T1^7*T2^9 - 387*T1^8*T2^9 + 363*T1^9*T2^9 - 49*T1^10*T2^9 - 
     122*T1^11*T2^9 + 109*T1^12*T2^9 - 299*T1^13*T2^9 + 152*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 50*T1^3*T2^10 + 169*T1^4*T2^10 - 
     312*T1^5*T2^10 - 72*T1^6*T2^10 - 172*T1^7*T2^10 + 511*T1^8*T2^10 - 
     49*T1^9*T2^10 - 129*T1^10*T2^10 - 72*T1^11*T2^10 + 88*T1^12*T2^10 + 
     188*T1^13*T2^10 - 51*T1^14*T2^10 - 50*T1^15*T2^10 + 20*T1^16*T2^10 + 
     30*T1^3*T2^11 - 60*T1^4*T2^11 - 48*T1^5*T2^11 + 88*T1^6*T2^11 + 
     294*T1^7*T2^11 - 299*T1^8*T2^11 - 122*T1^9*T2^11 - 72*T1^10*T2^11 + 
     361*T1^11*T2^11 - 171*T1^12*T2^11 - 162*T1^13*T2^11 + 27*T1^14*T2^11 + 
     55*T1^15*T2^11 - 20*T1^16*T2^11 - 18*T1^4*T2^12 + 40*T1^5*T2^12 + 
     69*T1^6*T2^12 - 259*T1^7*T2^12 + 136*T1^8*T2^12 + 109*T1^9*T2^12 + 
     88*T1^10*T2^12 - 171*T1^11*T2^12 - 76*T1^12*T2^12 + 281*T1^13*T2^12 - 
     71*T1^14*T2^12 - 40*T1^15*T2^12 + 18*T1^16*T2^12 + 10*T1^5*T2^13 - 
     50*T1^6*T2^13 + 52*T1^7*T2^13 + 114*T1^8*T2^13 - 299*T1^9*T2^13 + 
     188*T1^10*T2^13 - 162*T1^11*T2^13 + 281*T1^12*T2^13 - 306*T1^13*T2^13 + 
     52*T1^14*T2^13 + 50*T1^15*T2^13 - 20*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 152*T1^9*T2^14 - 51*T1^10*T2^14 + 27*T1^11*T2^14 - 
     71*T1^12*T2^14 + 52*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 50*T1^10*T2^15 + 
     55*T1^11*T2^15 - 40*T1^12*T2^15 + 50*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 20*T1^11*T2^16 + 18*T1^12*T2^16 - 20*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 762] -> 
  {((1 - T + T^2)*(1 - 4*T + 5*T^2 - 3*T^3 + 5*T^4 - 4*T^5 + T^6))/T^4, 
   (-6 + 30*T1 - 60*T1^2 + 72*T1^3 - 78*T1^4 + 72*T1^5 - 60*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 175*T1^2*T2 - 110*T1^3*T2 + 90*T1^4*T2 - 
     35*T1^5*T2 + 100*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 60*T2^2 + 
     175*T1*T2^2 - 15*T1^2*T2^2 - 330*T1^3*T2^2 + 319*T1^4*T2^2 - 
     419*T1^5*T2^2 + 379*T1^6*T2^2 - 470*T1^7*T2^2 + 165*T1^8*T2^2 + 
     75*T1^9*T2^2 - 40*T1^10*T2^2 + 72*T2^3 - 110*T1*T2^3 - 330*T1^2*T2^3 + 
     674*T1^3*T2^3 - 245*T1^4*T2^3 + 328*T1^5*T2^3 - 130*T1^6*T2^3 + 
     207*T1^7*T2^3 + 392*T1^8*T2^3 - 390*T1^9*T2^3 + 20*T1^10*T2^3 + 
     36*T1^11*T2^3 - 78*T2^4 + 90*T1*T2^4 + 319*T1^2*T2^4 - 245*T1^3*T2^4 - 
     560*T1^4*T2^4 + 248*T1^5*T2^4 - 470*T1^6*T2^4 + 244*T1^7*T2^4 - 
     776*T1^8*T2^4 + 211*T1^9*T2^4 + 239*T1^10*T2^4 - 50*T1^11*T2^4 - 
     26*T1^12*T2^4 + 72*T2^5 - 35*T1*T2^5 - 419*T1^2*T2^5 + 328*T1^3*T2^5 + 
     248*T1^4*T2^5 + 403*T1^5*T2^5 - 88*T1^6*T2^5 + 302*T1^7*T2^5 + 
     313*T1^8*T2^5 + 203*T1^9*T2^5 - 182*T1^10*T2^5 - 164*T1^11*T2^5 + 
     70*T1^12*T2^5 + 12*T1^13*T2^5 - 60*T2^6 + 379*T1^2*T2^6 - 
     130*T1^3*T2^6 - 470*T1^4*T2^6 - 88*T1^5*T2^6 - 386*T1^6*T2^6 + 
     194*T1^7*T2^6 - 746*T1^8*T2^6 + 252*T1^9*T2^6 - 230*T1^10*T2^6 + 
     250*T1^11*T2^6 + 39*T1^12*T2^6 - 60*T1^13*T2^6 + 30*T2^7 + 100*T1*T2^7 - 
     470*T1^2*T2^7 + 207*T1^3*T2^7 + 244*T1^4*T2^7 + 302*T1^5*T2^7 + 
     194*T1^6*T2^7 - 55*T1^7*T2^7 + 425*T1^8*T2^7 + 46*T1^9*T2^7 - 
     188*T1^10*T2^7 + 125*T1^11*T2^7 - 229*T1^12*T2^7 + 70*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 + 165*T1^2*T2^8 + 
     392*T1^3*T2^8 - 776*T1^4*T2^8 + 313*T1^5*T2^8 - 746*T1^6*T2^8 + 
     425*T1^7*T2^8 - 300*T1^8*T2^8 - 201*T1^9*T2^8 + 318*T1^10*T2^8 - 
     41*T1^11*T2^8 + 88*T1^12*T2^8 + 84*T1^13*T2^8 - 105*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 75*T1^2*T2^9 - 
     390*T1^3*T2^9 + 211*T1^4*T2^9 + 203*T1^5*T2^9 + 252*T1^6*T2^9 + 
     46*T1^7*T2^9 - 201*T1^8*T2^9 + 279*T1^9*T2^9 - 102*T1^10*T2^9 - 
     238*T1^11*T2^9 + 84*T1^12*T2^9 - 225*T1^13*T2^9 + 150*T1^14*T2^9 - 
     10*T1^16*T2^9 - 40*T1^2*T2^10 + 20*T1^3*T2^10 + 239*T1^4*T2^10 - 
     182*T1^5*T2^10 - 230*T1^6*T2^10 - 188*T1^7*T2^10 + 318*T1^8*T2^10 - 
     102*T1^9*T2^10 - 42*T1^10*T2^10 + 152*T1^11*T2^10 + 10*T1^12*T2^10 + 
     198*T1^13*T2^10 - 101*T1^14*T2^10 - 40*T1^15*T2^10 + 20*T1^16*T2^10 + 
     36*T1^3*T2^11 - 50*T1^4*T2^11 - 164*T1^5*T2^11 + 250*T1^6*T2^11 + 
     125*T1^7*T2^11 - 41*T1^8*T2^11 - 238*T1^9*T2^11 + 152*T1^10*T2^11 - 
     131*T1^11*T2^11 + 80*T1^12*T2^11 - 260*T1^13*T2^11 + 91*T1^14*T2^11 + 
     55*T1^15*T2^11 - 24*T1^16*T2^11 - 26*T1^4*T2^12 + 70*T1^5*T2^12 + 
     39*T1^6*T2^12 - 229*T1^7*T2^12 + 88*T1^8*T2^12 + 84*T1^9*T2^12 + 
     10*T1^10*T2^12 + 80*T1^11*T2^12 - 128*T1^12*T2^12 + 227*T1^13*T2^12 - 
     41*T1^14*T2^12 - 70*T1^15*T2^12 + 26*T1^16*T2^12 + 12*T1^5*T2^13 - 
     60*T1^6*T2^13 + 70*T1^7*T2^13 + 84*T1^8*T2^13 - 225*T1^9*T2^13 + 
     198*T1^10*T2^13 - 260*T1^11*T2^13 + 227*T1^12*T2^13 - 198*T1^13*T2^13 + 
     10*T1^14*T2^13 + 70*T1^15*T2^13 - 24*T1^16*T2^13 + 25*T1^7*T2^14 - 
     105*T1^8*T2^14 + 150*T1^9*T2^14 - 101*T1^10*T2^14 + 91*T1^11*T2^14 - 
     41*T1^12*T2^14 + 10*T1^13*T2^14 + 75*T1^14*T2^14 - 75*T1^15*T2^14 + 
     20*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 40*T1^10*T2^15 + 
     55*T1^11*T2^15 - 70*T1^12*T2^15 + 70*T1^13*T2^15 - 75*T1^14*T2^15 + 
     45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 
     20*T1^10*T2^16 - 24*T1^11*T2^16 + 26*T1^12*T2^16 - 24*T1^13*T2^16 + 
     20*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 763] -> 
  {-((1 - 12*T + 36*T^2 - 51*T^3 + 36*T^4 - 12*T^5 + T^6)/T^3), 
   -((-3 + 36*T1 - 108*T1^2 + 153*T1^3 - 108*T1^4 + 36*T1^5 - 3*T1^6 + 
      36*T2 - 410*T1*T2 + 1011*T1^2*T2 - 973*T1^3*T2 + 71*T1^4*T2 + 
      435*T1^5*T2 - 254*T1^6*T2 + 24*T1^7*T2 - 108*T2^2 + 1011*T1*T2^2 - 
      456*T1^2*T2^2 - 4448*T1^3*T2^2 + 9506*T1^4*T2^2 - 7256*T1^5*T2^2 + 
      2064*T1^6*T2^2 + 147*T1^7*T2^2 - 36*T1^8*T2^2 + 153*T2^3 - 
      973*T1*T2^3 - 4448*T1^2*T2^3 + 18081*T1^3*T2^3 - 22914*T1^4*T2^3 + 
      7326*T1^5*T2^3 + 5301*T1^6*T2^3 - 4340*T1^7*T2^3 + 431*T1^8*T2^3 - 
      108*T2^4 + 71*T1*T2^4 + 9506*T1^2*T2^4 - 22914*T1^3*T2^4 + 
      11902*T1^4*T2^4 + 22492*T1^5*T2^4 - 30794*T1^6*T2^4 + 12582*T1^7*T2^4 + 
      2*T1^8*T2^4 - 433*T1^9*T2^4 + 36*T1^10*T2^4 + 36*T2^5 + 435*T1*T2^5 - 
      7256*T1^2*T2^5 + 7326*T1^3*T2^5 + 22492*T1^4*T2^5 - 57208*T1^5*T2^5 + 
      41096*T1^6*T2^5 - 404*T1^7*T2^5 - 12402*T1^8*T2^5 + 4300*T1^9*T2^5 - 
      141*T1^10*T2^5 - 24*T1^11*T2^5 - 3*T2^6 - 254*T1*T2^6 + 
      2064*T1^2*T2^6 + 5301*T1^3*T2^6 - 30794*T1^4*T2^6 + 41096*T1^5*T2^6 - 
      1788*T1^6*T2^6 - 39904*T1^7*T2^6 + 30766*T1^8*T2^6 - 5373*T1^9*T2^6 - 
      2040*T1^10*T2^6 + 250*T1^11*T2^6 + 3*T1^12*T2^6 + 24*T1*T2^7 + 
      147*T1^2*T2^7 - 4340*T1^3*T2^7 + 12582*T1^4*T2^7 - 404*T1^5*T2^7 - 
      39904*T1^6*T2^7 + 58400*T1^7*T2^7 - 23300*T1^8*T2^7 - 7146*T1^9*T2^7 + 
      7216*T1^10*T2^7 - 429*T1^11*T2^7 - 36*T1^12*T2^7 - 36*T1^2*T2^8 + 
      431*T1^3*T2^8 + 2*T1^4*T2^8 - 12402*T1^5*T2^8 + 30766*T1^6*T2^8 - 
      23300*T1^7*T2^8 - 11930*T1^8*T2^8 + 23094*T1^9*T2^8 - 9502*T1^10*T2^8 - 
      73*T1^11*T2^8 + 108*T1^12*T2^8 - 433*T1^4*T2^9 + 4300*T1^5*T2^9 - 
      5373*T1^6*T2^9 - 7146*T1^7*T2^9 + 23094*T1^8*T2^9 - 18153*T1^9*T2^9 + 
      4408*T1^10*T2^9 + 971*T1^11*T2^9 - 153*T1^12*T2^9 + 36*T1^4*T2^10 - 
      141*T1^5*T2^10 - 2040*T1^6*T2^10 + 7216*T1^7*T2^10 - 9502*T1^8*T2^10 + 
      4408*T1^9*T2^10 + 480*T1^10*T2^10 - 1005*T1^11*T2^10 + 
      108*T1^12*T2^10 - 24*T1^5*T2^11 + 250*T1^6*T2^11 - 429*T1^7*T2^11 - 
      73*T1^8*T2^11 + 971*T1^9*T2^11 - 1005*T1^10*T2^11 + 406*T1^11*T2^11 - 
      36*T1^12*T2^11 + 3*T1^6*T2^12 - 36*T1^7*T2^12 + 108*T1^8*T2^12 - 
      153*T1^9*T2^12 + 108*T1^10*T2^12 - 36*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 764] -> 
  {(3 - 5*T + 3*T^2 - T^3 + 3*T^4 - 5*T^5 + 3*T^6)/T^3, 
   -((165 - 271*T1 + 158*T1^2 - 47*T1^3 + 158*T1^4 - 271*T1^5 + 165*T1^6 - 
      271*T2 + 217*T1*T2 + 113*T1^2*T2 - 137*T1^3*T2 - 197*T1^4*T2 + 
      233*T1^5*T2 + 97*T1^6*T2 - 226*T1^7*T2 + 158*T2^2 + 113*T1*T2^2 - 
      360*T1^2*T2^2 + 155*T1^3*T2^2 + 116*T1^4*T2^2 + 83*T1^5*T2^2 - 
      360*T1^6*T2^2 + 203*T1^7*T2^2 + 104*T1^8*T2^2 - 47*T2^3 - 137*T1*T2^3 + 
      155*T1^2*T2^3 + 40*T1^3*T2^3 - 95*T1^4*T2^3 - 83*T1^5*T2^3 + 
      124*T1^6*T2^3 + 62*T1^7*T2^3 - 137*T1^8*T2^3 - 20*T1^9*T2^3 + 
      158*T2^4 - 197*T1*T2^4 + 116*T1^2*T2^4 - 95*T1^3*T2^4 + 153*T1^4*T2^4 - 
      159*T1^5*T2^4 + 113*T1^6*T2^4 - 59*T1^7*T2^4 + 58*T1^8*T2^4 - 
      47*T1^9*T2^4 + 50*T1^10*T2^4 - 271*T2^5 + 233*T1*T2^5 + 83*T1^2*T2^5 - 
      83*T1^3*T2^5 - 159*T1^4*T2^5 + 209*T1^5*T2^5 - 43*T1^6*T2^5 - 
      90*T1^7*T2^5 - 47*T1^8*T2^5 + 92*T1^9*T2^5 - 7*T1^10*T2^5 - 
      46*T1^11*T2^5 + 165*T2^6 + 97*T1*T2^6 - 360*T1^2*T2^6 + 124*T1^3*T2^6 + 
      113*T1^4*T2^6 - 43*T1^5*T2^6 - 132*T1^6*T2^6 + 155*T1^7*T2^6 + 
      51*T1^8*T2^6 - 32*T1^9*T2^6 - 76*T1^10*T2^6 + 67*T1^11*T2^6 + 
      3*T1^12*T2^6 - 226*T1*T2^7 + 203*T1^2*T2^7 + 62*T1^3*T2^7 - 
      59*T1^4*T2^7 - 90*T1^5*T2^7 + 155*T1^6*T2^7 - 97*T1^7*T2^7 - 
      21*T1^8*T2^7 - 23*T1^9*T2^7 + 71*T1^10*T2^7 - 37*T1^11*T2^7 - 
      T1^12*T2^7 + 104*T1^2*T2^8 - 137*T1^3*T2^8 + 58*T1^4*T2^8 - 
      47*T1^5*T2^8 + 51*T1^6*T2^8 - 21*T1^7*T2^8 + 11*T1^8*T2^8 - 
      11*T1^9*T2^8 + 13*T1^11*T2^8 - 4*T1^12*T2^8 - 20*T1^3*T2^9 - 
      47*T1^4*T2^9 + 92*T1^5*T2^9 - 32*T1^6*T2^9 - 23*T1^7*T2^9 - 
      11*T1^8*T2^9 + 52*T1^9*T2^9 - T1^10*T2^9 - 47*T1^11*T2^9 + 
      7*T1^12*T2^9 + 50*T1^4*T2^10 - 7*T1^5*T2^10 - 76*T1^6*T2^10 + 
      71*T1^7*T2^10 - T1^9*T2^10 - 76*T1^10*T2^10 + 83*T1^11*T2^10 - 
      4*T1^12*T2^10 - 46*T1^5*T2^11 + 67*T1^6*T2^11 - 37*T1^7*T2^11 + 
      13*T1^8*T2^11 - 47*T1^9*T2^11 + 83*T1^10*T2^11 - 53*T1^11*T2^11 - 
      T1^12*T2^11 + 3*T1^6*T2^12 - T1^7*T2^12 - 4*T1^8*T2^12 + 7*T1^9*T2^12 - 
      4*T1^10*T2^12 - T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 765] -> 
  {-((3 - 15*T + 31*T^2 - 39*T^3 + 31*T^4 - 15*T^5 + 3*T^6)/T^3), 
   -((-138 + 684*T1 - 1405*T1^2 + 1766*T1^3 - 1405*T1^4 + 684*T1^5 - 
      138*T1^6 + 684*T2 - 2843*T1*T2 + 4255*T1^2*T2 - 3187*T1^3*T2 - 
      37*T1^4*T2 + 2185*T1^5*T2 - 2033*T1^6*T2 + 549*T1^7*T2 - 1405*T2^2 + 
      4255*T1*T2^2 - 1756*T1^2*T2^2 - 5426*T1^3*T2^2 + 11834*T1^4*T2^2 - 
      9890*T1^5*T2^2 + 3452*T1^6*T2^2 + 1465*T1^7*T2^2 - 847*T1^8*T2^2 + 
      1766*T2^3 - 3187*T1*T2^3 - 5426*T1^2*T2^3 + 14470*T1^3*T2^3 - 
      14649*T1^4*T2^3 + 1755*T1^5*T2^3 + 7822*T1^6*T2^3 - 7937*T1^7*T2^3 + 
      683*T1^8*T2^3 + 713*T1^9*T2^3 - 1405*T2^4 - 37*T1*T2^4 + 
      11834*T1^2*T2^4 - 14649*T1^3*T2^4 + 4034*T1^4*T2^4 + 13274*T1^5*T2^4 - 
      13630*T1^6*T2^4 + 3603*T1^7*T2^4 + 5816*T1^8*T2^4 - 2107*T1^9*T2^4 - 
      289*T1^10*T2^4 + 684*T2^5 + 2185*T1*T2^5 - 9890*T1^2*T2^5 + 
      1755*T1^3*T2^5 + 13274*T1^4*T2^5 - 20075*T1^5*T2^5 + 4435*T1^6*T2^5 + 
      9275*T1^7*T2^5 - 10953*T1^8*T2^5 + 433*T1^9*T2^5 + 1375*T1^10*T2^5 + 
      9*T1^11*T2^5 - 138*T2^6 - 2033*T1*T2^6 + 3452*T1^2*T2^6 + 
      7822*T1^3*T2^6 - 13630*T1^4*T2^6 + 4435*T1^5*T2^6 + 15000*T1^6*T2^6 - 
      17303*T1^7*T2^6 + 6760*T1^8*T2^6 + 4786*T1^9*T2^6 - 2608*T1^10*T2^6 - 
      143*T1^11*T2^6 + 24*T1^12*T2^6 + 549*T1*T2^7 + 1465*T1^2*T2^7 - 
      7937*T1^3*T2^7 + 3603*T1^4*T2^7 + 9275*T1^5*T2^7 - 17303*T1^6*T2^7 + 
      7207*T1^7*T2^7 + 5276*T1^8*T2^7 - 9105*T1^9*T2^7 + 2386*T1^10*T2^7 + 
      655*T1^11*T2^7 - 126*T1^12*T2^7 - 847*T1^2*T2^8 + 683*T1^3*T2^8 + 
      5816*T1^4*T2^8 - 10953*T1^5*T2^8 + 6760*T1^6*T2^8 + 5276*T1^7*T2^8 - 
      10904*T1^8*T2^8 + 7299*T1^9*T2^8 - 202*T1^10*T2^8 - 1387*T1^11*T2^8 + 
      269*T1^12*T2^8 + 713*T1^3*T2^9 - 2107*T1^4*T2^9 + 433*T1^5*T2^9 + 
      4786*T1^6*T2^9 - 9105*T1^7*T2^9 + 7299*T1^8*T2^9 - 1862*T1^9*T2^9 - 
      2078*T1^10*T2^9 + 1763*T1^11*T2^9 - 340*T1^12*T2^9 - 289*T1^4*T2^10 + 
      1375*T1^5*T2^10 - 2608*T1^6*T2^10 + 2386*T1^7*T2^10 - 202*T1^8*T2^10 - 
      2078*T1^9*T2^10 + 2600*T1^10*T2^10 - 1415*T1^11*T2^10 + 
      269*T1^12*T2^10 + 9*T1^5*T2^11 - 143*T1^6*T2^11 + 655*T1^7*T2^11 - 
      1387*T1^8*T2^11 + 1763*T1^9*T2^11 - 1415*T1^10*T2^11 + 
      667*T1^11*T2^11 - 126*T1^12*T2^11 + 24*T1^6*T2^12 - 126*T1^7*T2^12 + 
      269*T1^8*T2^12 - 340*T1^9*T2^12 + 269*T1^10*T2^12 - 126*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 766] -> 
  {-((3 - 13*T + 21*T^2 - 23*T^3 + 21*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-138 + 596*T1 - 957*T1^2 + 1046*T1^3 - 957*T1^4 + 596*T1^5 - 138*T1^6 + 
      596*T2 - 2097*T1*T2 + 2073*T1^2*T2 - 1207*T1^3*T2 + 509*T1^4*T2 + 
      747*T1^5*T2 - 1473*T1^6*T2 + 479*T1^7*T2 - 957*T2^2 + 2073*T1*T2^2 + 
      1659*T1^2*T2^2 - 4552*T1^3*T2^2 + 5033*T1^4*T2^2 - 5812*T1^5*T2^2 + 
      3927*T1^6*T2^2 + 435*T1^7*T2^2 - 579*T1^8*T2^2 + 1046*T2^3 - 
      1207*T1*T2^3 - 4552*T1^2*T2^3 + 4998*T1^3*T2^3 - 2649*T1^4*T2^3 + 
      2325*T1^5*T2^3 + 1098*T1^6*T2^3 - 4531*T1^7*T2^3 + 665*T1^8*T2^3 + 
      425*T1^9*T2^3 - 957*T2^4 + 509*T1*T2^4 + 5033*T1^2*T2^4 - 
      2649*T1^3*T2^4 - 307*T1^4*T2^4 - 343*T1^5*T2^4 - 1751*T1^6*T2^4 + 
      2319*T1^7*T2^4 + 2551*T1^8*T2^4 - 973*T1^9*T2^4 - 201*T1^10*T2^4 + 
      596*T2^5 + 747*T1*T2^5 - 5812*T1^2*T2^5 + 2325*T1^3*T2^5 - 
      343*T1^4*T2^5 + 2363*T1^5*T2^5 - 1111*T1^6*T2^5 + 434*T1^7*T2^5 - 
      2661*T1^8*T2^5 - 709*T1^9*T2^5 + 825*T1^10*T2^5 + 11*T1^11*T2^5 - 
      138*T2^6 - 1473*T1*T2^6 + 3927*T1^2*T2^6 + 1098*T1^3*T2^6 - 
      1751*T1^4*T2^6 - 1111*T1^5*T2^6 - 480*T1^6*T2^6 + 1535*T1^7*T2^6 - 
      289*T1^8*T2^6 + 2586*T1^9*T2^6 - 1081*T1^10*T2^6 - 147*T1^11*T2^6 + 
      24*T1^12*T2^6 + 479*T1*T2^7 + 435*T1^2*T2^7 - 4531*T1^3*T2^7 + 
      2319*T1^4*T2^7 + 434*T1^5*T2^7 + 1535*T1^6*T2^7 - 1939*T1^7*T2^7 + 
      1211*T1^8*T2^7 - 2667*T1^9*T2^7 + 572*T1^10*T2^7 + 513*T1^11*T2^7 - 
      106*T1^12*T2^7 - 579*T1^2*T2^8 + 665*T1^3*T2^8 + 2551*T1^4*T2^8 - 
      2661*T1^5*T2^8 - 289*T1^6*T2^8 + 1211*T1^7*T2^8 - 1733*T1^8*T2^8 + 
      2307*T1^9*T2^8 + 69*T1^10*T2^8 - 817*T1^11*T2^8 + 177*T1^12*T2^8 + 
      425*T1^3*T2^9 - 973*T1^4*T2^9 - 709*T1^5*T2^9 + 2586*T1^6*T2^9 - 
      2667*T1^7*T2^9 + 2307*T1^8*T2^9 - 1314*T1^9*T2^9 - 688*T1^10*T2^9 + 
      899*T1^11*T2^9 - 196*T1^12*T2^9 - 201*T1^4*T2^10 + 825*T1^5*T2^10 - 
      1081*T1^6*T2^10 + 572*T1^7*T2^10 + 69*T1^8*T2^10 - 688*T1^9*T2^10 + 
      1187*T1^10*T2^10 - 813*T1^11*T2^10 + 177*T1^12*T2^10 + 11*T1^5*T2^11 - 
      147*T1^6*T2^11 + 513*T1^7*T2^11 - 817*T1^8*T2^11 + 899*T1^9*T2^11 - 
      813*T1^10*T2^11 + 477*T1^11*T2^11 - 106*T1^12*T2^11 + 24*T1^6*T2^12 - 
      106*T1^7*T2^12 + 177*T1^8*T2^12 - 196*T1^9*T2^12 + 177*T1^10*T2^12 - 
      106*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 767] -> 
  {-(((1 - T + T^2)*(-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^4), 
   -((-3 + 12*T1 - 27*T1^2 + 45*T1^3 - 51*T1^4 + 45*T1^5 - 27*T1^6 + 
      12*T1^7 - 3*T1^8 + 12*T2 - 40*T1*T2 + 76*T1^2*T2 - 108*T1^3*T2 + 
      84*T1^4*T2 - 44*T1^5*T2 - 12*T1^6*T2 + 24*T1^7*T2 - 20*T1^8*T2 + 
      8*T1^9*T2 - 27*T2^2 + 76*T1*T2^2 - 123*T1^2*T2^2 + 147*T1^3*T2^2 - 
      50*T1^4*T2^2 - 15*T1^5*T2^2 + 94*T1^6*T2^2 - 51*T1^7*T2^2 + 
      21*T1^8*T2^2 + 4*T1^9*T2^2 - 9*T1^10*T2^2 + 45*T2^3 - 108*T1*T2^3 + 
      147*T1^2*T2^3 - 145*T1^3*T2^3 - 14*T1^4*T2^3 + 18*T1^5*T2^3 - 
      54*T1^6*T2^3 - 95*T1^7*T2^3 + 107*T1^8*T2^3 - 78*T1^9*T2^3 + 
      36*T1^10*T2^3 - 51*T2^4 + 84*T1*T2^4 - 50*T1^2*T2^4 - 14*T1^3*T2^4 + 
      174*T1^4*T2^4 - 31*T1^5*T2^4 - 6*T1^6*T2^4 + 181*T1^7*T2^4 - 
      58*T1^8*T2^4 - 74*T1^9*T2^4 + 82*T1^10*T2^4 - 68*T1^11*T2^4 + 
      17*T1^12*T2^4 + 45*T2^5 - 44*T1*T2^5 - 15*T1^2*T2^5 + 18*T1^3*T2^5 - 
      31*T1^4*T2^5 - 222*T1^5*T2^5 + 210*T1^6*T2^5 - 189*T1^7*T2^5 - 
      66*T1^8*T2^5 + 203*T1^9*T2^5 - 18*T1^10*T2^5 - 9*T1^11*T2^5 + 
      52*T1^12*T2^5 - 30*T1^13*T2^5 - 27*T2^6 - 12*T1*T2^6 + 94*T1^2*T2^6 - 
      54*T1^3*T2^6 - 6*T1^4*T2^6 + 210*T1^5*T2^6 - 181*T1^6*T2^6 + 
      25*T1^7*T2^6 + 59*T1^8*T2^6 - 126*T1^9*T2^6 - 240*T1^10*T2^6 + 
      72*T1^11*T2^6 - 74*T1^12*T2^6 + 12*T1^13*T2^6 + 27*T1^14*T2^6 + 
      12*T2^7 + 24*T1*T2^7 - 51*T1^2*T2^7 - 95*T1^3*T2^7 + 181*T1^4*T2^7 - 
      189*T1^5*T2^7 + 25*T1^6*T2^7 + 406*T1^7*T2^7 - 234*T1^8*T2^7 + 
      268*T1^9*T2^7 + 336*T1^10*T2^7 + 35*T1^11*T2^7 + 70*T1^12*T2^7 + 
      12*T1^13*T2^7 - 44*T1^14*T2^7 - 16*T1^15*T2^7 - 3*T2^8 - 20*T1*T2^8 + 
      21*T1^2*T2^8 + 107*T1^3*T2^8 - 58*T1^4*T2^8 - 66*T1^5*T2^8 + 
      59*T1^6*T2^8 - 234*T1^7*T2^8 - 576*T1^8*T2^8 + 538*T1^9*T2^8 - 
      1075*T1^10*T2^8 + 186*T1^11*T2^8 - 246*T1^12*T2^8 + 5*T1^13*T2^8 + 
      33*T1^14*T2^8 + 44*T1^15*T2^8 + 5*T1^16*T2^8 + 8*T1*T2^9 + 
      4*T1^2*T2^9 - 78*T1^3*T2^9 - 74*T1^4*T2^9 + 203*T1^5*T2^9 - 
      126*T1^6*T2^9 + 268*T1^7*T2^9 + 538*T1^8*T2^9 - 102*T1^9*T2^9 + 
      511*T1^10*T2^9 + 399*T1^11*T2^9 + 57*T1^12*T2^9 + 91*T1^13*T2^9 - 
      15*T1^14*T2^9 - 64*T1^15*T2^9 - 20*T1^16*T2^9 - 9*T1^2*T2^10 + 
      36*T1^3*T2^10 + 82*T1^4*T2^10 - 18*T1^5*T2^10 - 240*T1^6*T2^10 + 
      336*T1^7*T2^10 - 1075*T1^8*T2^10 + 511*T1^9*T2^10 - 835*T1^10*T2^10 - 
      474*T1^12*T2^10 + 108*T1^13*T2^10 - 86*T1^14*T2^10 + 60*T1^15*T2^10 + 
      45*T1^16*T2^10 - 68*T1^4*T2^11 - 9*T1^5*T2^11 + 72*T1^6*T2^11 + 
      35*T1^7*T2^11 + 186*T1^8*T2^11 + 399*T1^9*T2^11 + 342*T1^11*T2^11 + 
      269*T1^12*T2^11 + 36*T1^13*T2^11 - 3*T1^14*T2^11 + 28*T1^15*T2^11 - 
      75*T1^16*T2^11 + 17*T1^4*T2^12 + 52*T1^5*T2^12 - 74*T1^6*T2^12 + 
      70*T1^7*T2^12 - 246*T1^8*T2^12 + 57*T1^9*T2^12 - 474*T1^10*T2^12 + 
      269*T1^11*T2^12 - 478*T1^12*T2^12 + 10*T1^13*T2^12 + 58*T1^14*T2^12 - 
      100*T1^15*T2^12 + 85*T1^16*T2^12 - 30*T1^5*T2^13 + 12*T1^6*T2^13 + 
      12*T1^7*T2^13 + 5*T1^8*T2^13 + 91*T1^9*T2^13 + 108*T1^10*T2^13 + 
      36*T1^11*T2^13 + 10*T1^12*T2^13 + 257*T1^13*T2^13 - 213*T1^14*T2^13 + 
      156*T1^15*T2^13 - 75*T1^16*T2^13 + 27*T1^6*T2^14 - 44*T1^7*T2^14 + 
      33*T1^8*T2^14 - 15*T1^9*T2^14 - 86*T1^10*T2^14 - 3*T1^11*T2^14 + 
      58*T1^12*T2^14 - 213*T1^13*T2^14 + 177*T1^14*T2^14 - 116*T1^15*T2^14 + 
      45*T1^16*T2^14 - 16*T1^7*T2^15 + 44*T1^8*T2^15 - 64*T1^9*T2^15 + 
      60*T1^10*T2^15 + 28*T1^11*T2^15 - 100*T1^12*T2^15 + 156*T1^13*T2^15 - 
      116*T1^14*T2^15 + 64*T1^15*T2^15 - 20*T1^16*T2^15 + 5*T1^8*T2^16 - 
      20*T1^9*T2^16 + 45*T1^10*T2^16 - 75*T1^11*T2^16 + 85*T1^12*T2^16 - 
      75*T1^13*T2^16 + 45*T1^14*T2^16 - 20*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 768] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -((-3 + 9*T1 - 15*T1^2 + 21*T1^3 - 15*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      21*T1*T2 + 27*T1^2*T2 - 33*T1^3*T2 + 3*T1^4*T2 + 3*T1^5*T2 - 
      9*T1^6*T2 + 6*T1^7*T2 - 15*T2^2 + 27*T1*T2^2 - 22*T1^2*T2^2 + 
      14*T1^3*T2^2 + 46*T1^4*T2^2 - 26*T1^5*T2^2 + 18*T1^6*T2^2 - 
      3*T1^7*T2^2 - 5*T1^8*T2^2 + 21*T2^3 - 33*T1*T2^3 + 14*T1^2*T2^3 + 
      2*T1^3*T2^3 - 42*T1^4*T2^3 - 30*T1^5*T2^3 + 50*T1^6*T2^3 - 
      31*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T2^4 + 3*T1*T2^4 + 46*T1^2*T2^4 - 
      42*T1^3*T2^4 - 5*T1^4*T2^4 + 91*T1^5*T2^4 - 93*T1^6*T2^4 - 
      14*T1^7*T2^4 + 20*T1^8*T2^4 - 15*T1^9*T2^4 + 5*T1^10*T2^4 + 9*T2^5 + 
      3*T1*T2^5 - 26*T1^2*T2^5 - 30*T1^3*T2^5 + 91*T1^4*T2^5 - 67*T1^5*T2^5 + 
      53*T1^6*T2^5 + 96*T1^7*T2^5 - 10*T1^8*T2^5 - T1^9*T2^5 + 3*T1^10*T2^5 - 
      6*T1^11*T2^5 - 3*T2^6 - 9*T1*T2^6 + 18*T1^2*T2^6 + 50*T1^3*T2^6 - 
      93*T1^4*T2^6 + 53*T1^5*T2^6 - 120*T1^6*T2^6 - 21*T1^7*T2^6 - 
      115*T1^8*T2^6 + 38*T1^9*T2^6 - 10*T1^10*T2^6 + 9*T1^11*T2^6 + 
      3*T1^12*T2^6 + 6*T1*T2^7 - 3*T1^2*T2^7 - 31*T1^3*T2^7 - 14*T1^4*T2^7 + 
      96*T1^5*T2^7 - 21*T1^6*T2^7 + 99*T1^7*T2^7 + 101*T1^8*T2^7 + 
      6*T1^9*T2^7 - 6*T1^10*T2^7 - 3*T1^11*T2^7 - 9*T1^12*T2^7 - 
      5*T1^2*T2^8 + 15*T1^3*T2^8 + 20*T1^4*T2^8 - 10*T1^5*T2^8 - 
      115*T1^6*T2^8 + 101*T1^7*T2^8 - 203*T1^8*T2^8 + 18*T1^9*T2^8 - 
      6*T1^10*T2^8 - 3*T1^11*T2^8 + 15*T1^12*T2^8 - 15*T1^4*T2^9 - 
      T1^5*T2^9 + 38*T1^6*T2^9 + 6*T1^7*T2^9 + 18*T1^8*T2^9 + 86*T1^9*T2^9 - 
      46*T1^10*T2^9 + 33*T1^11*T2^9 - 21*T1^12*T2^9 + 5*T1^4*T2^10 + 
      3*T1^5*T2^10 - 10*T1^6*T2^10 - 6*T1^7*T2^10 - 6*T1^8*T2^10 - 
      46*T1^9*T2^10 + 30*T1^10*T2^10 - 27*T1^11*T2^10 + 15*T1^12*T2^10 - 
      6*T1^5*T2^11 + 9*T1^6*T2^11 - 3*T1^7*T2^11 - 3*T1^8*T2^11 + 
      33*T1^9*T2^11 - 27*T1^10*T2^11 + 21*T1^11*T2^11 - 9*T1^12*T2^11 + 
      3*T1^6*T2^12 - 9*T1^7*T2^12 + 15*T1^8*T2^12 - 21*T1^9*T2^12 + 
      15*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 769] -> 
  {(2 - 8*T + 20*T^2 - 27*T^3 + 20*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-15 + 61*T1 - 153*T1^2 + 207*T1^3 - 153*T1^4 + 61*T1^5 - 15*T1^6 + 
     61*T2 - 220*T1*T2 + 500*T1^2*T2 - 538*T1^3*T2 + 214*T1^4*T2 + 
     52*T1^5*T2 - 60*T1^6*T2 + 29*T1^7*T2 - 153*T2^2 + 500*T1*T2^2 - 
     968*T1^2*T2^2 + 665*T1^3*T2^2 + 394*T1^4*T2^2 - 855*T1^5*T2^2 + 
     472*T1^6*T2^2 - 140*T1^7*T2^2 + 7*T1^8*T2^2 + 207*T2^3 - 538*T1*T2^3 + 
     665*T1^2*T2^3 + 368*T1^3*T2^3 - 1823*T1^4*T2^3 + 1161*T1^5*T2^3 + 
     586*T1^6*T2^3 - 975*T1^7*T2^3 + 438*T1^8*T2^3 - 117*T1^9*T2^3 - 
     153*T2^4 + 214*T1*T2^4 + 394*T1^2*T2^4 - 1823*T1^3*T2^4 + 
     2912*T1^4*T2^4 - 294*T1^5*T2^4 - 2416*T1^6*T2^4 + 1633*T1^7*T2^4 + 
     138*T1^8*T2^4 - 202*T1^9*T2^4 + 167*T1^10*T2^4 + 61*T2^5 + 52*T1*T2^5 - 
     855*T1^2*T2^5 + 1161*T1^3*T2^5 - 294*T1^4*T2^5 - 5238*T1^5*T2^5 + 
     7502*T1^6*T2^5 - 3094*T1^7*T2^5 - 879*T1^8*T2^5 + 305*T1^9*T2^5 - 
     268*T1^10*T2^5 - 99*T1^11*T2^5 - 15*T2^6 - 60*T1*T2^6 + 472*T1^2*T2^6 + 
     586*T1^3*T2^6 - 2416*T1^4*T2^6 + 7502*T1^5*T2^6 - 5040*T1^6*T2^6 - 
     3282*T1^7*T2^6 + 5552*T1^8*T2^6 - 1342*T1^9*T2^6 + 504*T1^10*T2^6 + 
     260*T1^11*T2^6 + 33*T1^12*T2^6 + 29*T1*T2^7 - 140*T1^2*T2^7 - 
     975*T1^3*T2^7 + 1633*T1^4*T2^7 - 3094*T1^5*T2^7 - 3282*T1^6*T2^7 + 
     9458*T1^7*T2^7 - 5894*T1^8*T2^7 - 407*T1^9*T2^7 + 185*T1^10*T2^7 - 
     460*T1^11*T2^7 - 131*T1^12*T2^7 + 7*T1^2*T2^8 + 438*T1^3*T2^8 + 
     138*T1^4*T2^8 - 879*T1^5*T2^8 + 5552*T1^6*T2^8 - 5894*T1^7*T2^8 + 
     224*T1^8*T2^8 + 2577*T1^9*T2^8 - 118*T1^10*T2^8 + 22*T1^11*T2^8 + 
     327*T1^12*T2^8 - 117*T1^3*T2^9 - 202*T1^4*T2^9 + 305*T1^5*T2^9 - 
     1342*T1^6*T2^9 - 407*T1^7*T2^9 + 2577*T1^8*T2^9 - 1124*T1^9*T2^9 - 
     1335*T1^10*T2^9 + 774*T1^11*T2^9 - 441*T1^12*T2^9 + 167*T1^4*T2^10 - 
     268*T1^5*T2^10 + 504*T1^6*T2^10 + 185*T1^7*T2^10 - 118*T1^8*T2^10 - 
     1335*T1^9*T2^10 + 1944*T1^10*T2^10 - 908*T1^11*T2^10 + 327*T1^12*T2^10 - 
     99*T1^5*T2^11 + 260*T1^6*T2^11 - 460*T1^7*T2^11 + 22*T1^8*T2^11 + 
     774*T1^9*T2^11 - 908*T1^10*T2^11 + 420*T1^11*T2^11 - 131*T1^12*T2^11 + 
     33*T1^6*T2^12 - 131*T1^7*T2^12 + 327*T1^8*T2^12 - 441*T1^9*T2^12 + 
     327*T1^10*T2^12 - 131*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 770] -> 
  {-(((1 - T + T^2)*(3 - 13*T + 19*T^2 - 13*T^3 + 3*T^4))/T^3), 
   -((-138 + 734*T1 - 1600*T1^2 + 2056*T1^3 - 1600*T1^4 + 734*T1^5 - 
      138*T1^6 + 734*T2 - 3316*T1*T2 + 5369*T1^2*T2 - 4103*T1^3*T2 - 
      263*T1^4*T2 + 2921*T1^5*T2 - 2404*T1^6*T2 + 590*T1^7*T2 - 1600*T2^2 + 
      5369*T1*T2^2 - 2787*T1^2*T2^2 - 7430*T1^3*T2^2 + 17035*T1^4*T2^2 - 
      13520*T1^5*T2^2 + 3933*T1^6*T2^2 + 2009*T1^7*T2^2 - 970*T1^8*T2^2 + 
      2056*T2^3 - 4103*T1*T2^3 - 7430*T1^2*T2^3 + 22149*T1^3*T2^3 - 
      22851*T1^4*T2^3 + 1294*T1^5*T2^3 + 13029*T1^6*T2^3 - 10965*T1^7*T2^3 + 
      697*T1^8*T2^3 + 841*T1^9*T2^3 - 1600*T2^4 - 263*T1*T2^4 + 
      17035*T1^2*T2^4 - 22851*T1^3*T2^4 + 5375*T1^4*T2^4 + 24513*T1^5*T2^4 - 
      22945*T1^6*T2^4 + 4329*T1^7*T2^4 + 8695*T1^8*T2^4 - 2663*T1^9*T2^4 - 
      340*T1^10*T2^4 + 734*T2^5 + 2921*T1*T2^5 - 13520*T1^2*T2^5 + 
      1294*T1^3*T2^5 + 24513*T1^4*T2^5 - 37073*T1^5*T2^5 + 7807*T1^6*T2^5 + 
      16428*T1^7*T2^5 - 16781*T1^8*T2^5 + 235*T1^9*T2^5 + 1721*T1^10*T2^5 + 
      14*T1^11*T2^5 - 138*T2^6 - 2404*T1*T2^6 + 3933*T1^2*T2^6 + 
      13029*T1^3*T2^6 - 22945*T1^4*T2^6 + 7807*T1^5*T2^6 + 27768*T1^6*T2^6 - 
      31339*T1^7*T2^6 + 11265*T1^8*T2^6 + 7239*T1^9*T2^6 - 3211*T1^10*T2^6 - 
      196*T1^11*T2^6 + 24*T1^12*T2^6 + 590*T1*T2^7 + 2009*T1^2*T2^7 - 
      10965*T1^3*T2^7 + 4329*T1^4*T2^7 + 16428*T1^5*T2^7 - 31339*T1^6*T2^7 + 
      13541*T1^7*T2^7 + 8343*T1^8*T2^7 - 13746*T1^9*T2^7 + 2790*T1^10*T2^7 + 
      809*T1^11*T2^7 - 130*T1^12*T2^7 - 970*T1^2*T2^8 + 697*T1^3*T2^8 + 
      8695*T1^4*T2^8 - 16781*T1^5*T2^8 + 11265*T1^6*T2^8 + 8343*T1^7*T2^8 - 
      17055*T1^8*T2^8 + 10399*T1^9*T2^8 + 355*T1^10*T2^8 - 1703*T1^11*T2^8 + 
      290*T1^12*T2^8 + 841*T1^3*T2^9 - 2663*T1^4*T2^9 + 235*T1^5*T2^9 + 
      7239*T1^6*T2^9 - 13746*T1^7*T2^9 + 10399*T1^8*T2^9 - 1881*T1^9*T2^9 - 
      3300*T1^10*T2^9 + 2137*T1^11*T2^9 - 374*T1^12*T2^9 - 340*T1^4*T2^10 + 
      1721*T1^5*T2^10 - 3211*T1^6*T2^10 + 2790*T1^7*T2^10 + 355*T1^8*T2^10 - 
      3300*T1^9*T2^10 + 3509*T1^10*T2^10 - 1639*T1^11*T2^10 + 
      290*T1^12*T2^10 + 14*T1^5*T2^11 - 196*T1^6*T2^11 + 809*T1^7*T2^11 - 
      1703*T1^8*T2^11 + 2137*T1^9*T2^11 - 1639*T1^10*T2^11 + 
      716*T1^11*T2^11 - 130*T1^12*T2^11 + 24*T1^6*T2^12 - 130*T1^7*T2^12 + 
      290*T1^8*T2^12 - 374*T1^9*T2^12 + 290*T1^10*T2^12 - 130*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 771] -> 
  {(2 - 10*T + 24*T^2 - 31*T^3 + 24*T^4 - 10*T^5 + 2*T^6)/T^3, 
   (-15 + 76*T1 - 183*T1^2 + 237*T1^3 - 183*T1^4 + 76*T1^5 - 15*T1^6 + 
     76*T2 - 350*T1*T2 + 743*T1^2*T2 - 755*T1^3*T2 + 345*T1^4*T2 + 
     63*T1^5*T2 - 110*T1^6*T2 + 36*T1^7*T2 - 183*T2^2 + 743*T1*T2^2 - 
     1215*T1^2*T2^2 + 422*T1^3*T2^2 + 1027*T1^4*T2^2 - 1594*T1^5*T2^2 + 
     897*T1^6*T2^2 - 217*T1^7*T2^2 + 9*T1^8*T2^2 + 237*T2^3 - 755*T1*T2^3 + 
     422*T1^2*T2^3 + 1960*T1^3*T2^3 - 4018*T1^4*T2^3 + 2858*T1^5*T2^3 - 
     62*T1^6*T2^3 - 1162*T1^7*T2^3 + 625*T1^8*T2^3 - 135*T1^9*T2^3 - 
     183*T2^4 + 345*T1*T2^4 + 1027*T1^2*T2^4 - 4018*T1^3*T2^4 + 
     4688*T1^4*T2^4 + 84*T1^5*T2^4 - 4108*T1^6*T2^4 + 3670*T1^7*T2^4 - 
     565*T1^8*T2^4 - 335*T1^9*T2^4 + 201*T1^10*T2^4 + 76*T2^5 + 63*T1*T2^5 - 
     1594*T1^2*T2^5 + 2858*T1^3*T2^5 + 84*T1^4*T2^5 - 8216*T1^5*T2^5 + 
     9424*T1^6*T2^5 - 3852*T1^7*T2^5 - 2394*T1^8*T2^5 + 1718*T1^9*T2^5 - 
     377*T1^10*T2^5 - 124*T1^11*T2^5 - 15*T2^6 - 110*T1*T2^6 + 
     897*T1^2*T2^6 - 62*T1^3*T2^6 - 4108*T1^4*T2^6 + 9424*T1^5*T2^6 - 
     2880*T1^6*T2^6 - 6208*T1^7*T2^6 + 9412*T1^8*T2^6 - 2726*T1^9*T2^6 - 
     223*T1^10*T2^6 + 450*T1^11*T2^6 + 33*T1^12*T2^6 + 36*T1*T2^7 - 
     217*T1^2*T2^7 - 1162*T1^3*T2^7 + 3670*T1^4*T2^7 - 3852*T1^5*T2^7 - 
     6208*T1^6*T2^7 + 11432*T1^7*T2^7 - 7788*T1^8*T2^7 - 1582*T1^9*T2^7 + 
     2150*T1^10*T2^7 - 657*T1^11*T2^7 - 164*T1^12*T2^7 + 9*T1^2*T2^8 + 
     625*T1^3*T2^8 - 565*T1^4*T2^8 - 2394*T1^5*T2^8 + 9412*T1^6*T2^8 - 
     7788*T1^7*T2^8 + 616*T1^8*T2^8 + 5294*T1^9*T2^8 - 2157*T1^10*T2^8 - 
     55*T1^11*T2^8 + 393*T1^12*T2^8 - 135*T1^3*T2^9 - 335*T1^4*T2^9 + 
     1718*T1^5*T2^9 - 2726*T1^6*T2^9 - 1582*T1^7*T2^9 + 5294*T1^8*T2^9 - 
     4748*T1^9*T2^9 + 134*T1^10*T2^9 + 1045*T1^11*T2^9 - 507*T1^12*T2^9 + 
     201*T1^4*T2^10 - 377*T1^5*T2^10 - 223*T1^6*T2^10 + 2150*T1^7*T2^10 - 
     2157*T1^8*T2^10 + 134*T1^9*T2^10 + 1889*T1^10*T2^10 - 1337*T1^11*T2^10 + 
     393*T1^12*T2^10 - 124*T1^5*T2^11 + 450*T1^6*T2^11 - 657*T1^7*T2^11 - 
     55*T1^8*T2^11 + 1045*T1^9*T2^11 - 1337*T1^10*T2^11 + 690*T1^11*T2^11 - 
     164*T1^12*T2^11 + 33*T1^6*T2^12 - 164*T1^7*T2^12 + 393*T1^8*T2^12 - 
     507*T1^9*T2^12 + 393*T1^10*T2^12 - 164*T1^11*T2^12 + 33*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 772] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-111 + 480*T1 - 1067*T1^2 + 1359*T1^3 - 1067*T1^4 + 480*T1^5 - 111*T1^6 + 
     480*T2 - 1713*T1*T2 + 3050*T1^2*T2 - 2397*T1^3*T2 + 177*T1^4*T2 + 
     1412*T1^5*T2 - 1089*T1^6*T2 + 363*T1^7*T2 - 1067*T2^2 + 3050*T1*T2^2 - 
     4018*T1^2*T2^2 + 281*T1^3*T2^2 + 3840*T1^4*T2^2 - 3895*T1^5*T2^2 + 
     506*T1^6*T2^2 + 788*T1^7*T2^2 - 545*T1^8*T2^2 + 1359*T2^3 - 
     2397*T1*T2^3 + 281*T1^2*T2^3 + 7230*T1^3*T2^3 - 8719*T1^4*T2^3 + 
     2177*T1^5*T2^3 + 4716*T1^6*T2^3 - 3344*T1^7*T2^3 + 801*T1^8*T2^3 + 
     360*T1^9*T2^3 - 1067*T2^4 + 177*T1*T2^4 + 3840*T1^2*T2^4 - 
     8719*T1^3*T2^4 + 596*T1^4*T2^4 + 11384*T1^5*T2^4 - 13444*T1^6*T2^4 + 
     3417*T1^7*T2^4 + 1426*T1^8*T2^4 - 1461*T1^9*T2^4 - 23*T1^10*T2^4 + 
     480*T2^5 + 1412*T1*T2^5 - 3895*T1^2*T2^5 + 2177*T1^3*T2^5 + 
     11384*T1^4*T2^5 - 17915*T1^5*T2^5 + 8521*T1^6*T2^5 + 5903*T1^7*T2^5 - 
     6239*T1^8*T2^5 + 1934*T1^9*T2^5 + 554*T1^10*T2^5 - 105*T1^11*T2^5 - 
     111*T2^6 - 1089*T1*T2^6 + 506*T1^2*T2^6 + 4716*T1^3*T2^6 - 
     13444*T1^4*T2^6 + 8521*T1^5*T2^6 + 6900*T1^6*T2^6 - 14973*T1^7*T2^6 + 
     6842*T1^8*T2^6 + 456*T1^9*T2^6 - 1670*T1^10*T2^6 + 237*T1^11*T2^6 + 
     51*T1^12*T2^6 + 363*T1*T2^7 + 788*T1^2*T2^7 - 3344*T1^3*T2^7 + 
     3417*T1^4*T2^7 + 5903*T1^5*T2^7 - 14973*T1^6*T2^7 + 11463*T1^7*T2^7 + 
     422*T1^8*T2^7 - 4999*T1^9*T2^7 + 2485*T1^10*T2^7 - 70*T1^11*T2^7 - 
     222*T1^12*T2^7 - 545*T1^2*T2^8 + 801*T1^3*T2^8 + 1426*T1^4*T2^8 - 
     6239*T1^5*T2^8 + 6842*T1^6*T2^8 + 422*T1^7*T2^8 - 7198*T1^8*T2^8 + 
     5897*T1^9*T2^8 - 988*T1^10*T2^8 - 837*T1^11*T2^8 + 499*T1^12*T2^8 + 
     360*T1^3*T2^9 - 1461*T1^4*T2^9 + 1934*T1^5*T2^9 + 456*T1^6*T2^9 - 
     4999*T1^7*T2^9 + 5897*T1^8*T2^9 - 2058*T1^9*T2^9 - 1691*T1^10*T2^9 + 
     1737*T1^11*T2^9 - 639*T1^12*T2^9 - 23*T1^4*T2^10 + 554*T1^5*T2^10 - 
     1670*T1^6*T2^10 + 2485*T1^7*T2^10 - 988*T1^8*T2^10 - 1691*T1^9*T2^10 + 
     2854*T1^10*T2^10 - 1708*T1^11*T2^10 + 499*T1^12*T2^10 - 105*T1^5*T2^11 + 
     237*T1^6*T2^11 - 70*T1^7*T2^11 - 837*T1^8*T2^11 + 1737*T1^9*T2^11 - 
     1708*T1^10*T2^11 + 861*T1^11*T2^11 - 222*T1^12*T2^11 + 51*T1^6*T2^12 - 
     222*T1^7*T2^12 + 499*T1^8*T2^12 - 639*T1^9*T2^12 + 499*T1^10*T2^12 - 
     222*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 773] -> 
  {-((3 - 11*T + 19*T^2 - 23*T^3 + 19*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-24 + 93*T1 - 167*T1^2 + 204*T1^3 - 167*T1^4 + 93*T1^5 - 24*T1^6 + 
      93*T2 - 365*T1*T2 + 646*T1^2*T2 - 769*T1^3*T2 + 617*T1^4*T2 - 
      344*T1^5*T2 + 97*T1^6*T2 - 6*T1^7*T2 - 167*T2^2 + 646*T1*T2^2 - 
      958*T1^2*T2^2 + 751*T1^3*T2^2 - 62*T1^4*T2^2 - 617*T1^5*T2^2 + 
      866*T1^6*T2^2 - 608*T1^7*T2^2 + 175*T1^8*T2^2 + 204*T2^3 - 
      769*T1*T2^3 + 751*T1^2*T2^3 + 132*T1^3*T2^3 - 1101*T1^4*T2^3 + 
      1467*T1^5*T2^3 - 756*T1^6*T2^3 - 256*T1^7*T2^3 + 881*T1^8*T2^3 - 
      417*T1^9*T2^3 - 167*T2^4 + 617*T1*T2^4 - 62*T1^2*T2^4 - 
      1101*T1^3*T2^4 + 1176*T1^4*T2^4 - 428*T1^5*T2^4 - 1248*T1^6*T2^4 + 
      1751*T1^7*T2^4 - 1296*T1^8*T2^4 - 373*T1^9*T2^4 + 517*T1^10*T2^4 + 
      93*T2^5 - 344*T1*T2^5 - 617*T1^2*T2^5 + 1467*T1^3*T2^5 - 
      428*T1^4*T2^5 - 361*T1^5*T2^5 + 1493*T1^6*T2^5 - 371*T1^7*T2^5 - 
      533*T1^8*T2^5 + 1834*T1^9*T2^5 - 410*T1^10*T2^5 - 402*T1^11*T2^5 - 
      24*T2^6 + 97*T1*T2^6 + 866*T1^2*T2^6 - 756*T1^3*T2^6 - 1248*T1^4*T2^6 + 
      1493*T1^5*T2^6 - 1980*T1^6*T2^6 - 21*T1^7*T2^6 + 198*T1^8*T2^6 - 
      744*T1^9*T2^6 - 1266*T1^10*T2^6 + 955*T1^11*T2^6 + 138*T1^12*T2^6 - 
      6*T1*T2^7 - 608*T1^2*T2^7 - 256*T1^3*T2^7 + 1751*T1^4*T2^7 - 
      371*T1^5*T2^7 - 21*T1^6*T2^7 + 1833*T1^7*T2^7 - 314*T1^8*T2^7 - 
      249*T1^9*T2^7 + 2195*T1^10*T2^7 - 674*T1^11*T2^7 - 501*T1^12*T2^7 + 
      175*T1^2*T2^8 + 881*T1^3*T2^8 - 1296*T1^4*T2^8 - 533*T1^5*T2^8 + 
      198*T1^6*T2^8 - 314*T1^7*T2^8 - 2226*T1^8*T2^8 + 2319*T1^9*T2^8 - 
      2530*T1^10*T2^8 - 109*T1^11*T2^8 + 859*T1^12*T2^8 - 417*T1^3*T2^9 - 
      373*T1^4*T2^9 + 1834*T1^5*T2^9 - 744*T1^6*T2^9 - 249*T1^7*T2^9 + 
      2319*T1^8*T2^9 - 1632*T1^9*T2^9 + 827*T1^10*T2^9 + 1277*T1^11*T2^9 - 
      1038*T1^12*T2^9 + 517*T1^4*T2^10 - 410*T1^5*T2^10 - 1266*T1^6*T2^10 + 
      2195*T1^7*T2^10 - 2530*T1^8*T2^10 + 827*T1^9*T2^10 + 558*T1^10*T2^10 - 
      1664*T1^11*T2^10 + 859*T1^12*T2^10 - 402*T1^5*T2^11 + 955*T1^6*T2^11 - 
      674*T1^7*T2^11 - 109*T1^8*T2^11 + 1277*T1^9*T2^11 - 1664*T1^10*T2^11 + 
      1417*T1^11*T2^11 - 501*T1^12*T2^11 + 138*T1^6*T2^12 - 501*T1^7*T2^12 + 
      859*T1^8*T2^12 - 1038*T1^9*T2^12 + 859*T1^10*T2^12 - 501*T1^11*T2^12 + 
      138*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 774] -> {-(((1 - T + T^2)*(4 - 9*T + 4*T^2))/T^2), 
   -((-40 + 139*T1 - 190*T1^2 + 139*T1^3 - 40*T1^4 + 139*T2 - 552*T1*T2 + 
      853*T1^2*T2 - 707*T1^3*T2 + 332*T1^4*T2 - 69*T1^5*T2 - 190*T2^2 + 
      853*T1*T2^2 - 1106*T1^2*T2^2 + 230*T1^3*T2^2 + 662*T1^4*T2^2 - 
      915*T1^5*T2^2 + 354*T1^6*T2^2 + 139*T2^3 - 707*T1*T2^3 + 
      230*T1^2*T2^3 + 1727*T1^3*T2^3 - 2251*T1^4*T2^3 + 1335*T1^5*T2^3 + 
      437*T1^6*T2^3 - 485*T1^7*T2^3 - 40*T2^4 + 332*T1*T2^4 + 662*T1^2*T2^4 - 
      2251*T1^3*T2^4 + 744*T1^4*T2^4 + 1311*T1^5*T2^4 - 2644*T1^6*T2^4 + 
      852*T1^7*T2^4 + 216*T1^8*T2^4 - 69*T1*T2^5 - 915*T1^2*T2^5 + 
      1335*T1^3*T2^5 + 1311*T1^4*T2^5 - 2667*T1^5*T2^5 + 2440*T1^6*T2^5 + 
      229*T1^7*T2^5 - 693*T1^8*T2^5 + 354*T1^2*T2^6 + 437*T1^3*T2^6 - 
      2644*T1^4*T2^6 + 2440*T1^5*T2^6 - 876*T1^6*T2^6 - 1331*T1^7*T2^6 + 
      898*T1^8*T2^6 - 485*T1^3*T2^7 + 852*T1^4*T2^7 + 229*T1^5*T2^7 - 
      1331*T1^6*T2^7 + 1736*T1^7*T2^7 - 693*T1^8*T2^7 + 216*T1^4*T2^8 - 
      693*T1^5*T2^8 + 898*T1^6*T2^8 - 693*T1^7*T2^8 + 216*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 775] -> 
  {-((1 - 6*T + 17*T^2 - 27*T^3 + 29*T^4 - 27*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 85*T1^2 + 135*T1^3 - 145*T1^4 + 135*T1^5 - 
      85*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 366*T1^2*T2 - 
      402*T1^3*T2 + 222*T1^4*T2 - 114*T1^5*T2 - 138*T1^6*T2 + 228*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 85*T2^2 + 366*T1*T2^2 - 630*T1^2*T2^2 + 
      147*T1^3*T2^2 + 571*T1^4*T2^2 - 530*T1^5*T2^2 + 979*T1^6*T2^2 - 
      567*T1^7*T2^2 - 86*T1^8*T2^2 + 162*T1^9*T2^2 - 51*T1^10*T2^2 + 
      135*T2^3 - 402*T1*T2^3 + 147*T1^2*T2^3 + 1511*T1^3*T2^3 - 
      2233*T1^4*T2^3 + 877*T1^5*T2^3 - 1271*T1^6*T2^3 - 580*T1^7*T2^3 + 
      1433*T1^8*T2^3 - 516*T1^9*T2^3 - 18*T1^10*T2^3 + 54*T1^11*T2^3 - 
      145*T2^4 + 222*T1*T2^4 + 571*T1^2*T2^4 - 2233*T1^3*T2^4 + 
      552*T1^4*T2^4 + 3030*T1^5*T2^4 - 1896*T1^6*T2^4 + 4482*T1^7*T2^4 - 
      3004*T1^8*T2^4 - 181*T1^9*T2^4 + 599*T1^10*T2^4 - 150*T1^11*T2^4 - 
      29*T1^12*T2^4 + 135*T2^5 - 114*T1*T2^5 - 530*T1^2*T2^5 + 
      877*T1^3*T2^5 + 3030*T1^4*T2^5 - 6038*T1^5*T2^5 + 2030*T1^6*T2^5 - 
      3811*T1^7*T2^5 - 332*T1^8*T2^5 + 3174*T1^9*T2^5 - 1139*T1^10*T2^5 - 
      152*T1^11*T2^5 + 174*T1^12*T2^5 - 85*T2^6 - 138*T1*T2^6 + 
      979*T1^2*T2^6 - 1271*T1^3*T2^6 - 1896*T1^4*T2^6 + 2030*T1^5*T2^6 + 
      4065*T1^6*T2^6 - 1627*T1^7*T2^6 + 3921*T1^8*T2^6 - 3286*T1^9*T2^6 - 
      658*T1^10*T2^6 + 1075*T1^11*T2^6 - 189*T1^12*T2^6 - 102*T1^13*T2^6 + 
      17*T1^14*T2^6 + 30*T2^7 + 228*T1*T2^7 - 567*T1^2*T2^7 - 580*T1^3*T2^7 + 
      4482*T1^4*T2^7 - 3811*T1^5*T2^7 - 1627*T1^6*T2^7 - 2770*T1^7*T2^7 + 
      2534*T1^8*T2^7 - 1804*T1^9*T2^7 + 3080*T1^10*T2^7 - 894*T1^11*T2^7 - 
      637*T1^12*T2^7 + 402*T1^13*T2^7 - 30*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 - 86*T1^2*T2^8 + 1433*T1^3*T2^8 - 3004*T1^4*T2^8 - 
      332*T1^5*T2^8 + 3921*T1^6*T2^8 + 2534*T1^7*T2^8 - 2460*T1^8*T2^8 - 
      838*T1^9*T2^8 - 25*T1^10*T2^8 - 2168*T1^11*T2^8 + 2300*T1^12*T2^8 - 
      589*T1^13*T2^8 - 90*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 162*T1^2*T2^9 - 516*T1^3*T2^9 - 181*T1^4*T2^9 + 
      3174*T1^5*T2^9 - 3286*T1^6*T2^9 - 1804*T1^7*T2^9 - 838*T1^8*T2^9 + 
      4466*T1^9*T2^9 - 1981*T1^10*T2^9 + 3605*T1^11*T2^9 - 2202*T1^12*T2^9 - 
      238*T1^13*T2^9 + 453*T1^14*T2^9 - 96*T1^15*T2^9 - 18*T1^16*T2^9 - 
      51*T1^2*T2^10 - 18*T1^3*T2^10 + 599*T1^4*T2^10 - 1139*T1^5*T2^10 - 
      658*T1^6*T2^10 + 3080*T1^7*T2^10 - 25*T1^8*T2^10 - 1981*T1^9*T2^10 - 
      169*T1^10*T2^10 - 2236*T1^11*T2^10 + 580*T1^12*T2^10 + 
      1207*T1^13*T2^10 - 569*T1^14*T2^10 + 18*T1^15*T2^10 + 51*T1^16*T2^10 + 
      54*T1^3*T2^11 - 150*T1^4*T2^11 - 152*T1^5*T2^11 + 1075*T1^6*T2^11 - 
      894*T1^7*T2^11 - 2168*T1^8*T2^11 + 3605*T1^9*T2^11 - 2236*T1^10*T2^11 + 
      3538*T1^11*T2^11 - 750*T1^12*T2^11 - 941*T1^13*T2^11 + 
      226*T1^14*T2^11 + 138*T1^15*T2^11 - 81*T1^16*T2^11 - 29*T1^4*T2^12 + 
      174*T1^5*T2^12 - 189*T1^6*T2^12 - 637*T1^7*T2^12 + 2300*T1^8*T2^12 - 
      2202*T1^9*T2^12 + 580*T1^10*T2^12 - 750*T1^11*T2^12 - 
      1256*T1^12*T2^12 + 1415*T1^13*T2^12 - 161*T1^14*T2^12 - 
      198*T1^15*T2^12 + 87*T1^16*T2^12 - 102*T1^6*T2^13 + 402*T1^7*T2^13 - 
      589*T1^8*T2^13 - 238*T1^9*T2^13 + 1207*T1^10*T2^13 - 941*T1^11*T2^13 + 
      1415*T1^12*T2^13 - 667*T1^13*T2^13 - 261*T1^14*T2^13 + 
      282*T1^15*T2^13 - 81*T1^16*T2^13 + 17*T1^6*T2^14 - 30*T1^7*T2^14 - 
      90*T1^8*T2^14 + 453*T1^9*T2^14 - 569*T1^10*T2^14 + 226*T1^11*T2^14 - 
      161*T1^12*T2^14 - 261*T1^13*T2^14 + 454*T1^14*T2^14 - 234*T1^15*T2^14 + 
      51*T1^16*T2^14 - 12*T1^7*T2^15 + 54*T1^8*T2^15 - 96*T1^9*T2^15 + 
      18*T1^10*T2^15 + 138*T1^11*T2^15 - 198*T1^12*T2^15 + 282*T1^13*T2^15 - 
      234*T1^14*T2^15 + 96*T1^15*T2^15 - 18*T1^16*T2^15 + 3*T1^8*T2^16 - 
      18*T1^9*T2^16 + 51*T1^10*T2^16 - 81*T1^11*T2^16 + 87*T1^12*T2^16 - 
      81*T1^13*T2^16 + 51*T1^14*T2^16 - 18*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 776] -> 
  {-((1 - 6*T + 15*T^2 - 21*T^3 + 21*T^4 - 21*T^5 + 15*T^6 - 6*T^7 + T^8)/
     T^4), -((-5 + 30*T1 - 75*T1^2 + 105*T1^3 - 105*T1^4 + 105*T1^5 - 
      75*T1^6 + 30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 
      270*T1^3*T2 + 126*T1^4*T2 - 126*T1^5*T2 - 54*T1^6*T2 + 180*T1^7*T2 - 
      114*T1^8*T2 + 24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 306*T1^2*T2^2 - 
      314*T1^3*T2^2 + 771*T1^4*T2^2 - 502*T1^5*T2^2 + 951*T1^6*T2^2 - 
      764*T1^7*T2^2 + 114*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 
      105*T2^3 - 270*T1*T2^3 - 314*T1^2*T2^3 + 1609*T1^3*T2^3 - 
      1544*T1^4*T2^3 + 320*T1^5*T2^3 - 1192*T1^6*T2^3 - 5*T1^7*T2^3 + 
      1105*T1^8*T2^3 - 629*T1^9*T2^3 + 18*T1^10*T2^3 + 42*T1^11*T2^3 - 
      105*T2^4 + 126*T1*T2^4 + 771*T1^2*T2^4 - 1544*T1^3*T2^4 - 
      263*T1^4*T2^4 + 2129*T1^5*T2^4 - 283*T1^6*T2^4 + 2381*T1^7*T2^4 - 
      2363*T1^8*T2^4 + 220*T1^9*T2^4 + 519*T1^10*T2^4 - 126*T1^11*T2^4 - 
      21*T1^12*T2^4 + 105*T2^5 - 126*T1*T2^5 - 502*T1^2*T2^5 + 
      320*T1^3*T2^5 + 2129*T1^4*T2^5 - 2848*T1^5*T2^5 - 231*T1^6*T2^5 - 
      2058*T1^7*T2^5 + 596*T1^8*T2^5 + 1625*T1^9*T2^5 - 940*T1^10*T2^5 - 
      124*T1^11*T2^5 + 126*T1^12*T2^5 - 75*T2^6 - 54*T1*T2^6 + 
      951*T1^2*T2^6 - 1192*T1^3*T2^6 - 283*T1^4*T2^6 - 231*T1^5*T2^6 + 
      3430*T1^6*T2^6 - 494*T1^7*T2^6 + 910*T1^8*T2^6 - 1491*T1^9*T2^6 - 
      157*T1^10*T2^6 + 698*T1^11*T2^6 - 93*T1^12*T2^6 - 90*T1^13*T2^6 + 
      15*T1^14*T2^6 + 30*T2^7 + 180*T1*T2^7 - 764*T1^2*T2^7 - 5*T1^3*T2^7 + 
      2381*T1^4*T2^7 - 2058*T1^5*T2^7 - 494*T1^6*T2^7 - 3184*T1^7*T2^7 + 
      3158*T1^8*T2^7 - 863*T1^9*T2^7 + 903*T1^10*T2^7 - 139*T1^11*T2^7 - 
      644*T1^12*T2^7 + 361*T1^13*T2^7 - 18*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 114*T1^2*T2^8 + 1105*T1^3*T2^8 - 
      2363*T1^4*T2^8 + 596*T1^5*T2^8 + 910*T1^6*T2^8 + 3158*T1^7*T2^8 - 
      1812*T1^8*T2^8 - 2074*T1^9*T2^8 + 1264*T1^10*T2^8 - 1588*T1^11*T2^8 + 
      1477*T1^12*T2^8 - 341*T1^13*T2^8 - 162*T1^14*T2^8 + 54*T1^15*T2^8 + 
      3*T1^16*T2^8 + 24*T1*T2^9 + 126*T1^2*T2^9 - 629*T1^3*T2^9 + 
      220*T1^4*T2^9 + 1625*T1^5*T2^9 - 1491*T1^6*T2^9 - 863*T1^7*T2^9 - 
      2074*T1^8*T2^9 + 4268*T1^9*T2^9 - 1232*T1^10*T2^9 + 1470*T1^11*T2^9 - 
      895*T1^12*T2^9 - 419*T1^13*T2^9 + 496*T1^14*T2^9 - 72*T1^15*T2^9 - 
      18*T1^16*T2^9 - 45*T1^2*T2^10 + 18*T1^3*T2^10 + 519*T1^4*T2^10 - 
      940*T1^5*T2^10 - 157*T1^6*T2^10 + 903*T1^7*T2^10 + 1264*T1^8*T2^10 - 
      1232*T1^9*T2^10 - 1256*T1^10*T2^10 - 357*T1^11*T2^10 - 31*T1^12*T2^10 + 
      950*T1^13*T2^10 - 525*T1^14*T2^10 - 18*T1^15*T2^10 + 45*T1^16*T2^10 + 
      42*T1^3*T2^11 - 126*T1^4*T2^11 - 124*T1^5*T2^11 + 698*T1^6*T2^11 - 
      139*T1^7*T2^11 - 1588*T1^8*T2^11 + 1470*T1^9*T2^11 - 357*T1^10*T2^11 + 
      1856*T1^11*T2^11 - 643*T1^12*T2^11 - 562*T1^13*T2^11 + 
      254*T1^14*T2^11 + 126*T1^15*T2^11 - 63*T1^16*T2^11 - 21*T1^4*T2^12 + 
      126*T1^5*T2^12 - 93*T1^6*T2^12 - 644*T1^7*T2^12 + 1477*T1^8*T2^12 - 
      895*T1^9*T2^12 - 31*T1^10*T2^12 - 643*T1^11*T2^12 - 623*T1^12*T2^12 + 
      1120*T1^13*T2^12 - 345*T1^14*T2^12 - 126*T1^15*T2^12 + 63*T1^16*T2^12 - 
      90*T1^6*T2^13 + 361*T1^7*T2^13 - 341*T1^8*T2^13 - 419*T1^9*T2^13 + 
      950*T1^10*T2^13 - 562*T1^11*T2^13 + 1120*T1^12*T2^13 - 
      845*T1^13*T2^13 + 46*T1^14*T2^13 + 198*T1^15*T2^13 - 63*T1^16*T2^13 + 
      15*T1^6*T2^14 - 18*T1^7*T2^14 - 162*T1^8*T2^14 + 496*T1^9*T2^14 - 
      525*T1^10*T2^14 + 254*T1^11*T2^14 - 345*T1^12*T2^14 + 46*T1^13*T2^14 + 
      258*T1^14*T2^14 - 198*T1^15*T2^14 + 45*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 72*T1^9*T2^15 - 18*T1^10*T2^15 + 126*T1^11*T2^15 - 
      126*T1^12*T2^15 + 198*T1^13*T2^15 - 198*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 45*T1^10*T2^16 - 
      63*T1^11*T2^16 + 63*T1^12*T2^16 - 63*T1^13*T2^16 + 45*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 777] -> 
  {-((2 - 8*T + 14*T^2 - 17*T^3 + 14*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-23 + 93*T1 - 163*T1^2 + 197*T1^3 - 163*T1^4 + 93*T1^5 - 23*T1^6 + 
      93*T2 - 316*T1*T2 + 416*T1^2*T2 - 364*T1^3*T2 + 132*T1^4*T2 + 
      64*T1^5*T2 - 156*T1^6*T2 + 61*T1^7*T2 - 163*T2^2 + 416*T1*T2^2 - 
      214*T1^2*T2^2 - 188*T1^3*T2^2 + 652*T1^4*T2^2 - 692*T1^5*T2^2 + 
      458*T1^6*T2^2 - 32*T1^7*T2^2 - 51*T1^8*T2^2 + 197*T2^3 - 364*T1*T2^3 - 
      188*T1^2*T2^3 + 728*T1^3*T2^3 - 884*T1^4*T2^3 + 344*T1^5*T2^3 + 
      202*T1^6*T2^3 - 496*T1^7*T2^3 + 228*T1^8*T2^3 - 7*T1^9*T2^3 - 
      163*T2^4 + 132*T1*T2^4 + 652*T1^2*T2^4 - 884*T1^3*T2^4 + 
      107*T1^4*T2^4 + 825*T1^5*T2^4 - 997*T1^6*T2^4 + 476*T1^7*T2^4 + 
      44*T1^8*T2^4 - 220*T1^9*T2^4 + 61*T1^10*T2^4 + 93*T2^5 + 64*T1*T2^5 - 
      692*T1^2*T2^5 + 344*T1^3*T2^5 + 825*T1^4*T2^5 - 776*T1^5*T2^5 + 
      10*T1^6*T2^5 + 853*T1^7*T2^5 - 620*T1^8*T2^5 + 400*T1^9*T2^5 + 
      32*T1^10*T2^5 - 67*T1^11*T2^5 - 23*T2^6 - 156*T1*T2^6 + 458*T1^2*T2^6 + 
      202*T1^3*T2^6 - 997*T1^4*T2^6 + 10*T1^5*T2^6 + 504*T1^6*T2^6 - 
      638*T1^7*T2^6 - 309*T1^8*T2^6 + 242*T1^9*T2^6 - 470*T1^10*T2^6 + 
      164*T1^11*T2^6 + 25*T1^12*T2^6 + 61*T1*T2^7 - 32*T1^2*T2^7 - 
      496*T1^3*T2^7 + 476*T1^4*T2^7 + 853*T1^5*T2^7 - 638*T1^6*T2^7 + 
      148*T1^7*T2^7 + 881*T1^8*T2^7 - 488*T1^9*T2^7 + 596*T1^10*T2^7 - 
      64*T1^11*T2^7 - 99*T1^12*T2^7 - 51*T1^2*T2^8 + 228*T1^3*T2^8 + 
      44*T1^4*T2^8 - 620*T1^5*T2^8 - 309*T1^6*T2^8 + 881*T1^7*T2^8 - 
      1413*T1^8*T2^8 + 740*T1^9*T2^8 - 564*T1^10*T2^8 - 124*T1^11*T2^8 + 
      173*T1^12*T2^8 - 7*T1^3*T2^9 - 220*T1^4*T2^9 + 400*T1^5*T2^9 + 
      242*T1^6*T2^9 - 488*T1^7*T2^9 + 740*T1^8*T2^9 - 284*T1^9*T2^9 + 
      92*T1^10*T2^9 + 372*T1^11*T2^9 - 211*T1^12*T2^9 + 61*T1^4*T2^10 + 
      32*T1^5*T2^10 - 470*T1^6*T2^10 + 596*T1^7*T2^10 - 564*T1^8*T2^10 + 
      92*T1^9*T2^10 + 202*T1^10*T2^10 - 416*T1^11*T2^10 + 173*T1^12*T2^10 - 
      67*T1^5*T2^11 + 164*T1^6*T2^11 - 64*T1^7*T2^11 - 124*T1^8*T2^11 + 
      372*T1^9*T2^11 - 416*T1^10*T2^11 + 324*T1^11*T2^11 - 99*T1^12*T2^11 + 
      25*T1^6*T2^12 - 99*T1^7*T2^12 + 173*T1^8*T2^12 - 211*T1^9*T2^12 + 
      173*T1^10*T2^12 - 99*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 778] -> 
  {-((3 - 11*T + 18*T^2 - 21*T^3 + 18*T^4 - 11*T^5 + 3*T^6)/T^3), 
   -((-138 + 501*T1 - 814*T1^2 + 948*T1^3 - 814*T1^4 + 501*T1^5 - 138*T1^6 + 
      501*T2 - 1417*T1*T2 + 1499*T1^2*T2 - 1079*T1^3*T2 + 208*T1^4*T2 + 
      542*T1^5*T2 - 955*T1^6*T2 + 402*T1^7*T2 - 814*T2^2 + 1499*T1*T2^2 + 
      15*T1^2*T2^2 - 1310*T1^3*T2^2 + 2437*T1^4*T2^2 - 2390*T1^5*T2^2 + 
      1635*T1^6*T2^2 + 311*T1^7*T2^2 - 490*T1^8*T2^2 + 948*T2^3 - 
      1079*T1*T2^3 - 1310*T1^2*T2^3 + 1653*T1^3*T2^3 - 1722*T1^4*T2^3 + 
      519*T1^5*T2^3 + 447*T1^6*T2^3 - 1940*T1^7*T2^3 + 406*T1^8*T2^3 + 
      381*T1^9*T2^3 - 814*T2^4 + 208*T1*T2^4 + 2437*T1^2*T2^4 - 
      1722*T1^3*T2^4 + 1474*T1^4*T2^4 - 308*T1^5*T2^4 + 94*T1^6*T2^4 + 
      672*T1^7*T2^4 + 1243*T1^8*T2^4 - 782*T1^9*T2^4 - 166*T1^10*T2^4 + 
      501*T2^5 + 542*T1*T2^5 - 2390*T1^2*T2^5 + 519*T1^3*T2^5 - 
      308*T1^4*T2^5 - 181*T1^5*T2^5 - 355*T1^6*T2^5 + 16*T1^7*T2^5 - 
      1416*T1^8*T2^5 + 40*T1^9*T2^5 + 575*T1^10*T2^5 + 6*T1^11*T2^5 - 
      138*T2^6 - 955*T1*T2^6 + 1635*T1^2*T2^6 + 447*T1^3*T2^6 + 
      94*T1^4*T2^6 - 355*T1^5*T2^6 + 756*T1^6*T2^6 - 169*T1^7*T2^6 + 
      622*T1^8*T2^6 + 897*T1^9*T2^6 - 773*T1^10*T2^6 - 97*T1^11*T2^6 + 
      24*T1^12*T2^6 + 402*T1*T2^7 + 311*T1^2*T2^7 - 1940*T1^3*T2^7 + 
      672*T1^4*T2^7 + 16*T1^5*T2^7 - 169*T1^6*T2^7 - 343*T1^7*T2^7 + 
      340*T1^8*T2^7 - 1263*T1^9*T2^7 + 490*T1^10*T2^7 + 344*T1^11*T2^7 - 
      93*T1^12*T2^7 - 490*T1^2*T2^8 + 406*T1^3*T2^8 + 1243*T1^4*T2^8 - 
      1416*T1^5*T2^8 + 622*T1^6*T2^8 + 340*T1^7*T2^8 - 758*T1^8*T2^8 + 
      978*T1^9*T2^8 + 49*T1^10*T2^8 - 584*T1^11*T2^8 + 158*T1^12*T2^8 + 
      381*T1^3*T2^9 - 782*T1^4*T2^9 + 40*T1^5*T2^9 + 897*T1^6*T2^9 - 
      1263*T1^7*T2^9 + 978*T1^8*T2^9 - 309*T1^9*T2^9 - 590*T1^10*T2^9 + 
      703*T1^11*T2^9 - 186*T1^12*T2^9 - 166*T1^4*T2^10 + 575*T1^5*T2^10 - 
      773*T1^6*T2^10 + 490*T1^7*T2^10 + 49*T1^8*T2^10 - 590*T1^9*T2^10 + 
      847*T1^10*T2^10 - 613*T1^11*T2^10 + 158*T1^12*T2^10 + 6*T1^5*T2^11 - 
      97*T1^6*T2^11 + 344*T1^7*T2^11 - 584*T1^8*T2^11 + 703*T1^9*T2^11 - 
      613*T1^10*T2^11 + 365*T1^11*T2^11 - 93*T1^12*T2^11 + 24*T1^6*T2^12 - 
      93*T1^7*T2^12 + 158*T1^8*T2^12 - 186*T1^9*T2^12 + 158*T1^10*T2^12 - 
      93*T1^11*T2^12 + 24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 779] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-33 + 181*T1 - 426*T1^2 + 539*T1^3 - 426*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 858*T1*T2 + 1593*T1^2*T2 - 1197*T1^3*T2 + 101*T1^4*T2 + 
     779*T1^5*T2 - 572*T1^6*T2 + 137*T1^7*T2 - 426*T2^2 + 1593*T1*T2^2 - 
     1610*T1^2*T2^2 - 1558*T1^3*T2^2 + 4018*T1^4*T2^2 - 3846*T1^5*T2^2 + 
     886*T1^6*T2^2 + 449*T1^7*T2^2 - 218*T1^8*T2^2 + 539*T2^3 - 
     1197*T1*T2^3 - 1558*T1^2*T2^3 + 7680*T1^3*T2^3 - 7393*T1^4*T2^3 + 
     2155*T1^5*T2^3 + 4028*T1^6*T2^3 - 2988*T1^7*T2^3 + 409*T1^8*T2^3 + 
     143*T1^9*T2^3 - 426*T2^4 + 101*T1*T2^4 + 4018*T1^2*T2^4 - 
     7393*T1^3*T2^4 - 852*T1^4*T2^4 + 9502*T1^5*T2^4 - 11832*T1^6*T2^4 + 
     3167*T1^7*T2^4 + 1440*T1^8*T2^4 - 735*T1^9*T2^4 - 10*T1^10*T2^4 + 
     181*T2^5 + 779*T1*T2^5 - 3846*T1^2*T2^5 + 2155*T1^3*T2^5 + 
     9502*T1^4*T2^5 - 13250*T1^5*T2^5 + 7056*T1^6*T2^5 + 4926*T1^7*T2^5 - 
     5369*T1^8*T2^5 + 1016*T1^9*T2^5 + 273*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 572*T1*T2^6 + 886*T1^2*T2^6 + 4028*T1^3*T2^6 - 
     11832*T1^4*T2^6 + 7056*T1^5*T2^6 + 4044*T1^6*T2^6 - 11336*T1^7*T2^6 + 
     5268*T1^8*T2^6 + 948*T1^9*T2^6 - 1110*T1^10*T2^6 + 132*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 449*T1^2*T2^7 - 2988*T1^3*T2^7 + 
     3167*T1^4*T2^7 + 4926*T1^5*T2^7 - 11336*T1^6*T2^7 + 8970*T1^7*T2^7 + 
     350*T1^8*T2^7 - 4357*T1^9*T2^7 + 1874*T1^10*T2^7 - 57*T1^11*T2^7 - 
     83*T1^12*T2^7 - 218*T1^2*T2^8 + 409*T1^3*T2^8 + 1440*T1^4*T2^8 - 
     5369*T1^5*T2^8 + 5268*T1^6*T2^8 + 350*T1^7*T2^8 - 5712*T1^8*T2^8 + 
     5191*T1^9*T2^8 - 1138*T1^10*T2^8 - 427*T1^11*T2^8 + 198*T1^12*T2^8 + 
     143*T1^3*T2^9 - 735*T1^4*T2^9 + 1016*T1^5*T2^9 + 948*T1^6*T2^9 - 
     4357*T1^7*T2^9 + 5191*T1^8*T2^9 - 2704*T1^9*T2^9 - 414*T1^10*T2^9 + 
     871*T1^11*T2^9 - 253*T1^12*T2^9 - 10*T1^4*T2^10 + 273*T1^5*T2^10 - 
     1110*T1^6*T2^10 + 1874*T1^7*T2^10 - 1138*T1^8*T2^10 - 414*T1^9*T2^10 + 
     1386*T1^10*T2^10 - 871*T1^11*T2^10 + 198*T1^12*T2^10 - 39*T1^5*T2^11 + 
     132*T1^6*T2^11 - 57*T1^7*T2^11 - 427*T1^8*T2^11 + 871*T1^9*T2^11 - 
     871*T1^10*T2^11 + 418*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 198*T1^8*T2^12 - 253*T1^9*T2^12 + 198*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 780] -> 
  {-(((1 - T + T^2)*(1 - 7*T + 11*T^2 - 7*T^3 + T^4))/T^3), 
   -((-3 + 24*T1 - 57*T1^2 + 75*T1^3 - 57*T1^4 + 24*T1^5 - 3*T1^6 + 24*T2 - 
      176*T1*T2 + 326*T1^2*T2 - 295*T1^3*T2 + 57*T1^4*T2 + 110*T1^5*T2 - 
      104*T1^6*T2 + 16*T1^7*T2 - 57*T2^2 + 326*T1*T2^2 - 41*T1^2*T2^2 - 
      921*T1^3*T2^2 + 1845*T1^4*T2^2 - 1567*T1^5*T2^2 + 643*T1^6*T2^2 + 
      22*T1^7*T2^2 - 19*T1^8*T2^2 + 75*T2^3 - 295*T1*T2^3 - 921*T1^2*T2^3 + 
      2689*T1^3*T2^3 - 3302*T1^4*T2^3 + 1361*T1^5*T2^3 + 535*T1^6*T2^3 - 
      978*T1^7*T2^3 + 153*T1^8*T2^3 - 57*T2^4 + 57*T1*T2^4 + 1845*T1^2*T2^4 - 
      3302*T1^3*T2^4 + 2621*T1^4*T2^4 + 971*T1^5*T2^4 - 2811*T1^6*T2^4 + 
      1998*T1^7*T2^4 + 89*T1^8*T2^4 - 151*T1^9*T2^4 + 19*T1^10*T2^4 + 
      24*T2^5 + 110*T1*T2^5 - 1567*T1^2*T2^5 + 1361*T1^3*T2^5 + 
      971*T1^4*T2^5 - 4713*T1^5*T2^5 + 4235*T1^6*T2^5 - 758*T1^7*T2^5 - 
      2028*T1^8*T2^5 + 846*T1^9*T2^5 - 26*T1^10*T2^5 - 16*T1^11*T2^5 - 
      3*T2^6 - 104*T1*T2^6 + 643*T1^2*T2^6 + 535*T1^3*T2^6 - 2811*T1^4*T2^6 + 
      4235*T1^5*T2^6 - 780*T1^6*T2^6 - 3479*T1^7*T2^6 + 3899*T1^8*T2^6 - 
      527*T1^9*T2^6 - 569*T1^10*T2^6 + 104*T1^11*T2^6 + 3*T1^12*T2^6 + 
      16*T1*T2^7 + 22*T1^2*T2^7 - 978*T1^3*T2^7 + 1998*T1^4*T2^7 - 
      758*T1^5*T2^7 - 3479*T1^6*T2^7 + 5469*T1^7*T2^7 - 2487*T1^8*T2^7 - 
      1391*T1^9*T2^7 + 1435*T1^10*T2^7 - 114*T1^11*T2^7 - 24*T1^12*T2^7 - 
      19*T1^2*T2^8 + 153*T1^3*T2^8 + 89*T1^4*T2^8 - 2028*T1^5*T2^8 + 
      3899*T1^6*T2^8 - 2487*T1^7*T2^8 - 1533*T1^8*T2^8 + 3272*T1^9*T2^8 - 
      1667*T1^10*T2^8 - 55*T1^11*T2^8 + 57*T1^12*T2^8 - 151*T1^4*T2^9 + 
      846*T1^5*T2^9 - 527*T1^6*T2^9 - 1391*T1^7*T2^9 + 3272*T1^8*T2^9 - 
      2681*T1^9*T2^9 + 789*T1^10*T2^9 + 297*T1^11*T2^9 - 75*T1^12*T2^9 + 
      19*T1^4*T2^10 - 26*T1^5*T2^10 - 569*T1^6*T2^10 + 1435*T1^7*T2^10 - 
      1667*T1^8*T2^10 + 789*T1^9*T2^10 + 115*T1^10*T2^10 - 330*T1^11*T2^10 + 
      57*T1^12*T2^10 - 16*T1^5*T2^11 + 104*T1^6*T2^11 - 114*T1^7*T2^11 - 
      55*T1^8*T2^11 + 297*T1^9*T2^11 - 330*T1^10*T2^11 + 176*T1^11*T2^11 - 
      24*T1^12*T2^11 + 3*T1^6*T2^12 - 24*T1^7*T2^12 + 57*T1^8*T2^12 - 
      75*T1^9*T2^12 + 57*T1^10*T2^12 - 24*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 781] -> 
  {(1 - 4*T + 10*T^2 - 19*T^3 + 25*T^4 - 19*T^5 + 10*T^6 - 4*T^7 + T^8)/T^4, 
   (-4 + 16*T1 - 40*T1^2 + 76*T1^3 - 100*T1^4 + 76*T1^5 - 40*T1^6 + 16*T1^7 - 
     4*T1^8 + 16*T2 - 52*T1*T2 + 112*T1^2*T2 - 184*T1^3*T2 + 172*T1^4*T2 - 
     4*T1^5*T2 - 68*T1^6*T2 + 56*T1^7*T2 - 32*T1^8*T2 + 12*T1^9*T2 - 
     40*T2^2 + 112*T1*T2^2 - 230*T1^2*T2^2 + 365*T1^3*T2^2 - 292*T1^4*T2^2 - 
     60*T1^5*T2^2 + 8*T1^6*T2^2 + 65*T1^7*T2^2 - 50*T1^8*T2^2 + 
     32*T1^9*T2^2 - 20*T1^10*T2^2 + 76*T2^3 - 184*T1*T2^3 + 365*T1^2*T2^3 - 
     549*T1^3*T2^3 + 329*T1^4*T2^3 + 245*T1^5*T2^3 + 138*T1^6*T2^3 - 
     164*T1^7*T2^3 + 31*T1^8*T2^3 - 5*T1^9*T2^3 + 4*T1^10*T2^3 + 
     19*T1^11*T2^3 - 100*T2^4 + 172*T1*T2^4 - 292*T1^2*T2^4 + 329*T1^3*T2^4 + 
     184*T1^4*T2^4 - 762*T1^5*T2^4 - 302*T1^6*T2^4 + 18*T1^7*T2^4 + 
     304*T1^8*T2^4 - 203*T1^9*T2^4 + 100*T1^10*T2^4 - 76*T1^11*T2^4 + 
     76*T2^5 - 4*T1*T2^5 - 60*T1^2*T2^5 + 245*T1^3*T2^5 - 762*T1^4*T2^5 + 
     601*T1^5*T2^5 + 1142*T1^6*T2^5 + 152*T1^7*T2^5 - 689*T1^8*T2^5 + 
     203*T1^9*T2^5 + 76*T1^12*T2^5 - 19*T1^13*T2^5 - 40*T2^6 - 68*T1*T2^6 + 
     8*T1^2*T2^6 + 138*T1^3*T2^6 - 302*T1^4*T2^6 + 1142*T1^5*T2^6 - 
     1902*T1^6*T2^6 - 1282*T1^7*T2^6 + 1578*T1^8*T2^6 - 202*T1^9*T2^6 - 
     78*T1^10*T2^6 + 38*T1^11*T2^6 - 108*T1^12*T2^6 - 4*T1^13*T2^6 + 
     20*T1^14*T2^6 + 16*T2^7 + 56*T1*T2^7 + 65*T1^2*T2^7 - 164*T1^3*T2^7 + 
     18*T1^4*T2^7 + 152*T1^5*T2^7 - 1282*T1^6*T2^7 + 4421*T1^7*T2^7 - 
     2609*T1^8*T2^7 - 317*T1^9*T2^7 + 434*T1^10*T2^7 - 207*T1^11*T2^7 + 
     173*T1^12*T2^7 + 15*T1^13*T2^7 - 32*T1^14*T2^7 - 12*T1^15*T2^7 - 
     4*T2^8 - 32*T1*T2^8 - 50*T1^2*T2^8 + 31*T1^3*T2^8 + 304*T1^4*T2^8 - 
     689*T1^5*T2^8 + 1578*T1^6*T2^8 - 2609*T1^7*T2^8 - 492*T1^8*T2^8 + 
     3053*T1^9*T2^8 - 1396*T1^10*T2^8 + 457*T1^11*T2^8 - 208*T1^12*T2^8 - 
     39*T1^13*T2^8 + 46*T1^14*T2^8 + 32*T1^15*T2^8 + 4*T1^16*T2^8 + 
     12*T1*T2^9 + 32*T1^2*T2^9 - 5*T1^3*T2^9 - 203*T1^4*T2^9 + 
     203*T1^5*T2^9 - 202*T1^6*T2^9 - 317*T1^7*T2^9 + 3053*T1^8*T2^9 - 
     3977*T1^9*T2^9 + 648*T1^10*T2^9 + 80*T1^11*T2^9 - 22*T1^12*T2^9 + 
     134*T1^13*T2^9 - 55*T1^14*T2^9 - 56*T1^15*T2^9 - 16*T1^16*T2^9 - 
     20*T1^2*T2^10 + 4*T1^3*T2^10 + 100*T1^4*T2^10 - 78*T1^6*T2^10 + 
     434*T1^7*T2^10 - 1396*T1^8*T2^10 + 648*T1^9*T2^10 + 2084*T1^10*T2^10 - 
     910*T1^11*T2^10 + 146*T1^12*T2^10 - 100*T1^13*T2^10 - 16*T1^14*T2^10 + 
     68*T1^15*T2^10 + 40*T1^16*T2^10 + 19*T1^3*T2^11 - 76*T1^4*T2^11 + 
     38*T1^6*T2^11 - 207*T1^7*T2^11 + 457*T1^8*T2^11 + 80*T1^9*T2^11 - 
     910*T1^10*T2^11 - 833*T1^11*T2^11 + 758*T1^12*T2^11 - 207*T1^13*T2^11 + 
     60*T1^14*T2^11 + 4*T1^15*T2^11 - 76*T1^16*T2^11 + 76*T1^5*T2^12 - 
     108*T1^6*T2^12 + 173*T1^7*T2^12 - 208*T1^8*T2^12 - 22*T1^9*T2^12 + 
     146*T1^10*T2^12 + 758*T1^11*T2^12 - 88*T1^12*T2^12 - 359*T1^13*T2^12 + 
     284*T1^14*T2^12 - 172*T1^15*T2^12 + 100*T1^16*T2^12 - 19*T1^5*T2^13 - 
     4*T1^6*T2^13 + 15*T1^7*T2^13 - 39*T1^8*T2^13 + 134*T1^9*T2^13 - 
     100*T1^10*T2^13 - 207*T1^11*T2^13 - 359*T1^12*T2^13 + 541*T1^13*T2^13 - 
     355*T1^14*T2^13 + 184*T1^15*T2^13 - 76*T1^16*T2^13 + 20*T1^6*T2^14 - 
     32*T1^7*T2^14 + 46*T1^8*T2^14 - 55*T1^9*T2^14 - 16*T1^10*T2^14 + 
     60*T1^11*T2^14 + 284*T1^12*T2^14 - 355*T1^13*T2^14 + 226*T1^14*T2^14 - 
     112*T1^15*T2^14 + 40*T1^16*T2^14 - 12*T1^7*T2^15 + 32*T1^8*T2^15 - 
     56*T1^9*T2^15 + 68*T1^10*T2^15 + 4*T1^11*T2^15 - 172*T1^12*T2^15 + 
     184*T1^13*T2^15 - 112*T1^14*T2^15 + 52*T1^15*T2^15 - 16*T1^16*T2^15 + 
     4*T1^8*T2^16 - 16*T1^9*T2^16 + 40*T1^10*T2^16 - 76*T1^11*T2^16 + 
     100*T1^12*T2^16 - 76*T1^13*T2^16 + 40*T1^14*T2^16 - 16*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 782] -> 
  {-(((-2 + 4*T - 2*T^2 + T^3)*(-1 + 2*T - 4*T^2 + 2*T^3))/T^3), 
   -((-23 + 92*T1 - 206*T1^2 + 285*T1^3 - 206*T1^4 + 92*T1^5 - 23*T1^6 + 
      92*T2 - 308*T1*T2 + 584*T1^2*T2 - 604*T1^3*T2 + 84*T1^4*T2 + 
      168*T1^5*T2 - 148*T1^6*T2 + 60*T1^7*T2 - 206*T2^2 + 584*T1*T2^2 - 
      938*T1^2*T2^2 + 624*T1^3*T2^2 + 612*T1^4*T2^2 - 600*T1^5*T2^2 + 
      214*T1^6*T2^2 + 8*T1^7*T2^2 - 62*T1^8*T2^2 + 285*T2^3 - 604*T1*T2^3 + 
      624*T1^2*T2^3 + 330*T1^3*T2^3 - 1844*T1^4*T2^3 + 448*T1^5*T2^3 + 
      636*T1^6*T2^3 - 636*T1^7*T2^3 + 308*T1^8*T2^3 - 15*T1^9*T2^3 - 
      206*T2^4 + 84*T1*T2^4 + 612*T1^2*T2^4 - 1844*T1^3*T2^4 + 
      2139*T1^4*T2^4 + 1337*T1^5*T2^4 - 2357*T1^6*T2^4 + 956*T1^7*T2^4 + 
      4*T1^8*T2^4 - 268*T1^9*T2^4 + 82*T1^10*T2^4 + 92*T2^5 + 168*T1*T2^5 - 
      600*T1^2*T2^5 + 448*T1^3*T2^5 + 1337*T1^4*T2^5 - 4990*T1^5*T2^5 + 
      3928*T1^6*T2^5 - 139*T1^7*T2^5 - 828*T1^8*T2^5 + 516*T1^9*T2^5 - 
      56*T1^10*T2^5 - 68*T1^11*T2^5 - 23*T2^6 - 148*T1*T2^6 + 214*T1^2*T2^6 + 
      636*T1^3*T2^6 - 2357*T1^4*T2^6 + 3928*T1^5*T2^6 - 1152*T1^6*T2^6 - 
      3184*T1^7*T2^6 + 2043*T1^8*T2^6 - 540*T1^9*T2^6 - 106*T1^10*T2^6 + 
      172*T1^11*T2^6 + 25*T1^12*T2^6 + 60*T1*T2^7 + 8*T1^2*T2^7 - 
      636*T1^3*T2^7 + 956*T1^4*T2^7 - 139*T1^5*T2^7 - 3184*T1^6*T2^7 + 
      5734*T1^7*T2^7 - 1615*T1^8*T2^7 - 320*T1^9*T2^7 + 480*T1^10*T2^7 - 
      216*T1^11*T2^7 - 100*T1^12*T2^7 - 62*T1^2*T2^8 + 308*T1^3*T2^8 + 
      4*T1^4*T2^8 - 828*T1^5*T2^8 + 2043*T1^6*T2^8 - 1615*T1^7*T2^8 - 
      2453*T1^8*T2^8 + 1972*T1^9*T2^8 - 604*T1^10*T2^8 - 44*T1^11*T2^8 + 
      226*T1^12*T2^8 - 15*T1^3*T2^9 - 268*T1^4*T2^9 + 516*T1^5*T2^9 - 
      540*T1^6*T2^9 - 320*T1^7*T2^9 + 1972*T1^8*T2^9 - 234*T1^9*T2^9 - 
      744*T1^10*T2^9 + 644*T1^11*T2^9 - 315*T1^12*T2^9 + 82*T1^4*T2^10 - 
      56*T1^5*T2^10 - 106*T1^6*T2^10 + 480*T1^7*T2^10 - 604*T1^8*T2^10 - 
      744*T1^9*T2^10 + 1046*T1^10*T2^10 - 632*T1^11*T2^10 + 226*T1^12*T2^10 - 
      68*T1^5*T2^11 + 172*T1^6*T2^11 - 216*T1^7*T2^11 - 44*T1^8*T2^11 + 
      644*T1^9*T2^11 - 632*T1^10*T2^11 + 332*T1^11*T2^11 - 100*T1^12*T2^11 + 
      25*T1^6*T2^12 - 100*T1^7*T2^12 + 226*T1^8*T2^12 - 315*T1^9*T2^12 + 
      226*T1^10*T2^12 - 100*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 783] -> 
  {(2 - 11*T + 30*T^2 - 41*T^3 + 30*T^4 - 11*T^5 + 2*T^6)/T^3, 
   (-33 + 181*T1 - 493*T1^2 + 673*T1^3 - 493*T1^4 + 181*T1^5 - 33*T1^6 + 
     181*T2 - 856*T1*T2 + 1961*T1^2*T2 - 1653*T1^3*T2 - 91*T1^4*T2 + 
     1059*T1^5*T2 - 570*T1^6*T2 + 137*T1^7*T2 - 493*T2^2 + 1961*T1*T2^2 - 
     3590*T1^2*T2^2 + 351*T1^3*T2^2 + 4052*T1^4*T2^2 - 3249*T1^5*T2^2 - 
     230*T1^6*T2^2 + 641*T1^7*T2^2 - 253*T1^8*T2^2 + 673*T2^3 - 
     1653*T1*T2^3 + 351*T1^2*T2^3 + 9394*T1^3*T2^3 - 12014*T1^4*T2^3 + 
     1330*T1^5*T2^3 + 6442*T1^6*T2^3 - 2739*T1^7*T2^3 + 393*T1^8*T2^3 + 
     181*T1^9*T2^3 - 493*T2^4 - 91*T1*T2^4 + 4052*T1^2*T2^4 - 
     12014*T1^3*T2^4 - 1462*T1^4*T2^4 + 23524*T1^5*T2^4 - 21802*T1^6*T2^4 + 
     3402*T1^7*T2^4 + 1330*T1^8*T2^4 - 927*T1^9*T2^4 - 13*T1^10*T2^4 + 
     181*T2^5 + 1059*T1*T2^5 - 3249*T1^2*T2^5 + 1330*T1^3*T2^5 + 
     23524*T1^4*T2^5 - 35952*T1^5*T2^5 + 12218*T1^6*T2^5 + 12364*T1^7*T2^5 - 
     7870*T1^8*T2^5 + 1881*T1^9*T2^5 + 289*T1^10*T2^5 - 39*T1^11*T2^5 - 
     33*T2^6 - 570*T1*T2^6 - 230*T1^2*T2^6 + 6442*T1^3*T2^6 - 
     21802*T1^4*T2^6 + 12218*T1^5*T2^6 + 19044*T1^6*T2^6 - 28494*T1^7*T2^6 + 
     9474*T1^8*T2^6 + 178*T1^9*T2^6 - 1234*T1^10*T2^6 + 134*T1^11*T2^6 + 
     15*T1^12*T2^6 + 137*T1*T2^7 + 641*T1^2*T2^7 - 2739*T1^3*T2^7 + 
     3402*T1^4*T2^7 + 12364*T1^5*T2^7 - 28494*T1^6*T2^7 + 19676*T1^7*T2^7 + 
     1204*T1^8*T2^7 - 5798*T1^9*T2^7 + 2391*T1^10*T2^7 - 129*T1^11*T2^7 - 
     83*T1^12*T2^7 - 253*T1^2*T2^8 + 393*T1^3*T2^8 + 1330*T1^4*T2^8 - 
     7870*T1^5*T2^8 + 9474*T1^6*T2^8 + 1204*T1^7*T2^8 - 10866*T1^8*T2^8 + 
     7546*T1^9*T2^8 - 1392*T1^10*T2^8 - 443*T1^11*T2^8 + 227*T1^12*T2^8 + 
     181*T1^3*T2^9 - 927*T1^4*T2^9 + 1881*T1^5*T2^9 + 178*T1^6*T2^9 - 
     5798*T1^7*T2^9 + 7546*T1^8*T2^9 - 2774*T1^9*T2^9 - 1209*T1^10*T2^9 + 
     1119*T1^11*T2^9 - 311*T1^12*T2^9 - 13*T1^4*T2^10 + 289*T1^5*T2^10 - 
     1234*T1^6*T2^10 + 2391*T1^7*T2^10 - 1392*T1^8*T2^10 - 1209*T1^9*T2^10 + 
     2126*T1^10*T2^10 - 1031*T1^11*T2^10 + 227*T1^12*T2^10 - 39*T1^5*T2^11 + 
     134*T1^6*T2^11 - 129*T1^7*T2^11 - 443*T1^8*T2^11 + 1119*T1^9*T2^11 - 
     1031*T1^10*T2^11 + 420*T1^11*T2^11 - 83*T1^12*T2^11 + 15*T1^6*T2^12 - 
     83*T1^7*T2^12 + 227*T1^8*T2^12 - 311*T1^9*T2^12 + 227*T1^10*T2^12 - 
     83*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 784] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 9*T^2 - 11*T^3 + 9*T^4 - 5*T^5 + T^6))/T^4), 
   -((-5 + 30*T1 - 75*T1^2 + 125*T1^3 - 145*T1^4 + 125*T1^5 - 75*T1^6 + 
      30*T1^7 - 5*T1^8 + 30*T2 - 156*T1*T2 + 306*T1^2*T2 - 390*T1^3*T2 + 
      270*T1^4*T2 - 54*T1^5*T2 - 150*T1^6*T2 + 180*T1^7*T2 - 114*T1^8*T2 + 
      24*T1^9*T2 - 75*T2^2 + 306*T1*T2^2 - 306*T1^2*T2^2 - 18*T1^3*T2^2 + 
      757*T1^4*T2^2 - 1186*T1^5*T2^2 + 1177*T1^6*T2^2 - 588*T1^7*T2^2 + 
      114*T1^8*T2^2 + 126*T1^9*T2^2 - 45*T1^10*T2^2 + 125*T2^3 - 
      390*T1*T2^3 - 18*T1^2*T2^3 + 745*T1^3*T2^3 - 1693*T1^4*T2^3 + 
      1360*T1^5*T2^3 - 500*T1^6*T2^3 - 718*T1^7*T2^3 + 805*T1^8*T2^3 - 
      513*T1^9*T2^3 - 30*T1^10*T2^3 + 50*T1^11*T2^3 - 145*T2^4 + 
      270*T1*T2^4 + 757*T1^2*T2^4 - 1693*T1^3*T2^4 + 2387*T1^4*T2^4 - 
      918*T1^5*T2^4 - 231*T1^6*T2^4 + 1078*T1^7*T2^4 - 65*T1^8*T2^4 - 
      393*T1^9*T2^4 + 697*T1^10*T2^4 - 126*T1^11*T2^4 - 29*T1^12*T2^4 + 
      125*T2^5 - 54*T1*T2^5 - 1186*T1^2*T2^5 + 1360*T1^3*T2^5 - 
      918*T1^4*T2^5 - 1340*T1^5*T2^5 + 1356*T1^6*T2^5 - 639*T1^7*T2^5 - 
      1360*T1^8*T2^5 + 1154*T1^9*T2^5 - 720*T1^10*T2^5 - 304*T1^11*T2^5 + 
      174*T1^12*T2^5 - 75*T2^6 - 150*T1*T2^6 + 1177*T1^2*T2^6 - 
      500*T1^3*T2^6 - 231*T1^4*T2^6 + 1356*T1^5*T2^6 + 538*T1^6*T2^6 - 
      1832*T1^7*T2^6 + 2578*T1^8*T2^6 - 624*T1^9*T2^6 - 441*T1^10*T2^6 + 
      1030*T1^11*T2^6 - 203*T1^12*T2^6 - 90*T1^13*T2^6 + 15*T1^14*T2^6 + 
      30*T2^7 + 180*T1*T2^7 - 588*T1^2*T2^7 - 718*T1^3*T2^7 + 
      1078*T1^4*T2^7 - 639*T1^5*T2^7 - 1832*T1^6*T2^7 + 2196*T1^7*T2^7 - 
      1110*T1^8*T2^7 - 1137*T1^9*T2^7 + 1386*T1^10*T2^7 - 690*T1^11*T2^7 - 
      393*T1^12*T2^7 + 357*T1^13*T2^7 - 18*T1^14*T2^7 - 12*T1^15*T2^7 - 
      5*T2^8 - 114*T1*T2^8 + 114*T1^2*T2^8 + 805*T1^3*T2^8 - 65*T1^4*T2^8 - 
      1360*T1^5*T2^8 + 2578*T1^6*T2^8 - 1110*T1^7*T2^8 - 1224*T1^8*T2^8 + 
      2266*T1^9*T2^8 - 1252*T1^10*T2^8 - 296*T1^11*T2^8 + 767*T1^12*T2^8 - 
      305*T1^13*T2^8 - 162*T1^14*T2^8 + 54*T1^15*T2^8 + 3*T1^16*T2^8 + 
      24*T1*T2^9 + 126*T1^2*T2^9 - 513*T1^3*T2^9 - 393*T1^4*T2^9 + 
      1154*T1^5*T2^9 - 624*T1^6*T2^9 - 1137*T1^7*T2^9 + 2266*T1^8*T2^9 - 
      1040*T1^9*T2^9 - 442*T1^10*T2^9 + 1401*T1^11*T2^9 - 614*T1^12*T2^9 - 
      68*T1^13*T2^9 + 432*T1^14*T2^9 - 72*T1^15*T2^9 - 18*T1^16*T2^9 - 
      45*T1^2*T2^10 - 30*T1^3*T2^10 + 697*T1^4*T2^10 - 720*T1^5*T2^10 - 
      441*T1^6*T2^10 + 1386*T1^7*T2^10 - 1252*T1^8*T2^10 - 442*T1^9*T2^10 + 
      788*T1^10*T2^10 - 594*T1^11*T2^10 - 651*T1^12*T2^10 + 810*T1^13*T2^10 - 
      683*T1^14*T2^10 + 30*T1^15*T2^10 + 45*T1^16*T2^10 + 50*T1^3*T2^11 - 
      126*T1^4*T2^11 - 304*T1^5*T2^11 + 1030*T1^6*T2^11 - 690*T1^7*T2^11 - 
      296*T1^8*T2^11 + 1401*T1^9*T2^11 - 594*T1^10*T2^11 - 316*T1^11*T2^11 + 
      1382*T1^12*T2^11 - 1050*T1^13*T2^11 + 578*T1^14*T2^11 + 
      102*T1^15*T2^11 - 75*T1^16*T2^11 - 29*T1^4*T2^12 + 174*T1^5*T2^12 - 
      203*T1^6*T2^12 - 393*T1^7*T2^12 + 767*T1^8*T2^12 - 614*T1^9*T2^12 - 
      651*T1^10*T2^12 + 1382*T1^11*T2^12 - 1685*T1^12*T2^12 + 
      907*T1^13*T2^12 - 263*T1^14*T2^12 - 222*T1^15*T2^12 + 87*T1^16*T2^12 - 
      90*T1^6*T2^13 + 357*T1^7*T2^13 - 305*T1^8*T2^13 - 68*T1^9*T2^13 + 
      810*T1^10*T2^13 - 1050*T1^11*T2^13 + 907*T1^12*T2^13 - 
      245*T1^13*T2^13 - 138*T1^14*T2^13 + 270*T1^15*T2^13 - 75*T1^16*T2^13 + 
      15*T1^6*T2^14 - 18*T1^7*T2^14 - 162*T1^8*T2^14 + 432*T1^9*T2^14 - 
      683*T1^10*T2^14 + 578*T1^11*T2^14 - 263*T1^12*T2^14 - 138*T1^13*T2^14 + 
      258*T1^14*T2^14 - 198*T1^15*T2^14 + 45*T1^16*T2^14 - 12*T1^7*T2^15 + 
      54*T1^8*T2^15 - 72*T1^9*T2^15 + 30*T1^10*T2^15 + 102*T1^11*T2^15 - 
      222*T1^12*T2^15 + 270*T1^13*T2^15 - 198*T1^14*T2^15 + 96*T1^15*T2^15 - 
      18*T1^16*T2^15 + 3*T1^8*T2^16 - 18*T1^9*T2^16 + 45*T1^10*T2^16 - 
      75*T1^11*T2^16 + 87*T1^12*T2^16 - 75*T1^13*T2^16 + 45*T1^14*T2^16 - 
      18*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 785] -> 
  {-(((2 - 3*T + 2*T^2)*(3 - 7*T + 3*T^2))/T^2), 
   -((-165 + 675*T1 - 997*T1^2 + 675*T1^3 - 165*T1^4 + 675*T2 - 2894*T1*T2 + 
      4470*T1^2*T2 - 3258*T1^3*T2 + 1108*T1^4*T2 - 153*T1^5*T2 - 997*T2^2 + 
      4470*T1*T2^2 - 5679*T1^2*T2^2 + 213*T1^3*T2^2 + 5013*T1^4*T2^2 - 
      4638*T1^5*T2^2 + 1379*T1^6*T2^2 + 675*T2^3 - 3258*T1*T2^3 + 
      213*T1^2*T2^3 + 12847*T1^3*T2^3 - 17651*T1^4*T2^3 + 8562*T1^5*T2^3 + 
      1710*T1^6*T2^3 - 1809*T1^7*T2^3 - 165*T2^4 + 1108*T1*T2^4 + 
      5013*T1^2*T2^4 - 17651*T1^3*T2^4 + 11148*T1^4*T2^4 + 7603*T1^5*T2^4 - 
      14569*T1^6*T2^4 + 4144*T1^7*T2^4 + 699*T1^8*T2^4 - 153*T1*T2^5 - 
      4638*T1^2*T2^5 + 8562*T1^3*T2^5 + 7603*T1^4*T2^5 - 22895*T1^5*T2^5 + 
      16911*T1^6*T2^5 + 330*T1^7*T2^5 - 2637*T1^8*T2^5 + 1379*T1^2*T2^6 + 
      1710*T1^3*T2^6 - 14569*T1^4*T2^6 + 16911*T1^5*T2^6 - 3877*T1^6*T2^6 - 
      7398*T1^7*T2^6 + 3755*T1^8*T2^6 - 1809*T1^3*T2^7 + 4144*T1^4*T2^7 + 
      330*T1^5*T2^7 - 7398*T1^6*T2^7 + 8146*T1^7*T2^7 - 2637*T1^8*T2^7 + 
      699*T1^4*T2^8 - 2637*T1^5*T2^8 + 3755*T1^6*T2^8 - 2637*T1^7*T2^8 + 
      699*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 786] -> 
  {(2 - 12*T + 33*T^2 - 45*T^3 + 33*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 196*T1 - 538*T1^2 + 733*T1^3 - 538*T1^4 + 196*T1^5 - 33*T1^6 + 
     196*T2 - 1016*T1*T2 + 2316*T1^2*T2 - 1948*T1^3*T2 - 76*T1^4*T2 + 
     1236*T1^5*T2 - 680*T1^6*T2 + 148*T1^7*T2 - 538*T2^2 + 2316*T1*T2^2 - 
     3824*T1^2*T2^2 - 723*T1^3*T2^2 + 6262*T1^4*T2^2 - 5079*T1^5*T2^2 + 
     268*T1^6*T2^2 + 732*T1^7*T2^2 - 274*T1^8*T2^2 + 733*T2^3 - 
     1948*T1*T2^3 - 723*T1^2*T2^3 + 13484*T1^3*T2^3 - 16369*T1^4*T2^3 + 
     2369*T1^5*T2^3 + 8354*T1^6*T2^3 - 4089*T1^7*T2^3 + 500*T1^8*T2^3 + 
     193*T1^9*T2^3 - 538*T2^4 - 76*T1*T2^4 + 6262*T1^2*T2^4 - 
     16369*T1^3*T2^4 - 776*T1^4*T2^4 + 28872*T1^5*T2^4 - 28232*T1^6*T2^4 + 
     5231*T1^7*T2^4 + 2014*T1^8*T2^4 - 1084*T1^9*T2^4 - 10*T1^10*T2^4 + 
     196*T2^5 + 1236*T1*T2^5 - 5079*T1^2*T2^5 + 2369*T1^3*T2^5 + 
     28872*T1^4*T2^5 - 45809*T1^5*T2^5 + 18241*T1^6*T2^5 + 13923*T1^7*T2^5 - 
     10645*T1^8*T2^5 + 2247*T1^9*T2^5 + 300*T1^10*T2^5 - 44*T1^11*T2^5 - 
     33*T2^6 - 680*T1*T2^6 + 268*T1^2*T2^6 + 8354*T1^3*T2^6 - 
     28232*T1^4*T2^6 + 18241*T1^5*T2^6 + 20568*T1^6*T2^6 - 36065*T1^7*T2^6 + 
     14158*T1^8*T2^6 + 146*T1^9*T2^6 - 1496*T1^10*T2^6 + 184*T1^11*T2^6 + 
     15*T1^12*T2^6 + 148*T1*T2^7 + 732*T1^2*T2^7 - 4089*T1^3*T2^7 + 
     5231*T1^4*T2^7 + 13923*T1^5*T2^7 - 36065*T1^6*T2^7 + 27985*T1^7*T2^7 - 
     1026*T1^8*T2^7 - 7783*T1^9*T2^7 + 3237*T1^10*T2^7 - 204*T1^11*T2^7 - 
     92*T1^12*T2^7 - 274*T1^2*T2^8 + 500*T1^3*T2^8 + 2014*T1^4*T2^8 - 
     10645*T1^5*T2^8 + 14158*T1^6*T2^8 - 1026*T1^7*T2^8 - 13298*T1^8*T2^8 + 
     10955*T1^9*T2^8 - 2234*T1^10*T2^8 - 508*T1^11*T2^8 + 254*T1^12*T2^8 + 
     193*T1^3*T2^9 - 1084*T1^4*T2^9 + 2247*T1^5*T2^9 + 146*T1^6*T2^9 - 
     7783*T1^7*T2^9 + 10955*T1^8*T2^9 - 4984*T1^9*T2^9 - 1119*T1^10*T2^9 + 
     1364*T1^11*T2^9 - 347*T1^12*T2^9 - 10*T1^4*T2^10 + 300*T1^5*T2^10 - 
     1496*T1^6*T2^10 + 3237*T1^7*T2^10 - 2234*T1^8*T2^10 - 1119*T1^9*T2^10 + 
     2596*T1^10*T2^10 - 1284*T1^11*T2^10 + 254*T1^12*T2^10 - 44*T1^5*T2^11 + 
     184*T1^6*T2^11 - 204*T1^7*T2^11 - 508*T1^8*T2^11 + 1364*T1^9*T2^11 - 
     1284*T1^10*T2^11 + 520*T1^11*T2^11 - 92*T1^12*T2^11 + 15*T1^6*T2^12 - 
     92*T1^7*T2^12 + 254*T1^8*T2^12 - 347*T1^9*T2^12 + 254*T1^10*T2^12 - 
     92*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 787] -> 
  {-((1 - 4*T + 9*T^2 - 14*T^3 + 15*T^4 - 14*T^5 + 9*T^6 - 4*T^7 + T^8)/T^4), 
   -((-5 + 20*T1 - 45*T1^2 + 70*T1^3 - 75*T1^4 + 70*T1^5 - 45*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 116*T1^2*T2 - 136*T1^3*T2 + 
      76*T1^4*T2 - 40*T1^5*T2 - 44*T1^6*T2 + 64*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 45*T2^2 + 116*T1*T2^2 - 177*T1^2*T2^2 + 164*T1^3*T2^2 - 
      17*T1^4*T2^2 + 37*T1^5*T2^2 + 91*T1^6*T2^2 - 16*T1^7*T2^2 - 
      33*T1^8*T2^2 + 44*T1^9*T2^2 - 27*T1^10*T2^2 + 70*T2^3 - 136*T1*T2^3 + 
      164*T1^2*T2^3 - 88*T1^3*T2^3 - 133*T1^4*T2^3 - 57*T1^5*T2^3 - 
      135*T1^6*T2^3 - 103*T1^7*T2^3 + 74*T1^8*T2^3 - 34*T1^9*T2^3 - 
      4*T1^10*T2^3 + 28*T1^11*T2^3 - 75*T2^4 + 76*T1*T2^4 - 17*T1^2*T2^4 - 
      133*T1^3*T2^4 + 338*T1^4*T2^4 + 95*T1^5*T2^4 + 222*T1^6*T2^4 + 
      167*T1^7*T2^4 + 58*T1^8*T2^4 - 77*T1^9*T2^4 + 75*T1^10*T2^4 - 
      52*T1^11*T2^4 - 15*T1^12*T2^4 + 70*T2^5 - 40*T1*T2^5 + 37*T1^2*T2^5 - 
      57*T1^3*T2^5 + 95*T1^4*T2^5 - 680*T1^5*T2^5 + 60*T1^6*T2^5 - 
      364*T1^7*T2^5 - 152*T1^8*T2^5 + 107*T1^9*T2^5 - 67*T1^10*T2^5 + 
      T1^11*T2^5 + 60*T1^12*T2^5 - 45*T2^6 - 44*T1*T2^6 + 91*T1^2*T2^6 - 
      135*T1^3*T2^6 + 222*T1^4*T2^6 + 60*T1^5*T2^6 + 867*T1^6*T2^6 - 
      467*T1^7*T2^6 + 679*T1^8*T2^6 - 260*T1^9*T2^6 + 56*T1^10*T2^6 + 
      45*T1^11*T2^6 - 49*T1^12*T2^6 - 36*T1^13*T2^6 + 9*T1^14*T2^6 + 
      20*T2^7 + 64*T1*T2^7 - 16*T1^2*T2^7 - 103*T1^3*T2^7 + 167*T1^4*T2^7 - 
      364*T1^5*T2^7 - 467*T1^6*T2^7 - 168*T1^7*T2^7 + 236*T1^8*T2^7 - 
      371*T1^9*T2^7 + 268*T1^10*T2^7 - 85*T1^11*T2^7 - 29*T1^12*T2^7 + 
      74*T1^13*T2^7 - 4*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 
      33*T1^2*T2^8 + 74*T1^3*T2^8 + 58*T1^4*T2^8 - 152*T1^5*T2^8 + 
      679*T1^6*T2^8 + 236*T1^7*T2^8 - 396*T1^8*T2^8 + 84*T1^9*T2^8 + 
      23*T1^10*T2^8 - 224*T1^11*T2^8 + 182*T1^12*T2^8 - 78*T1^13*T2^8 - 
      21*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 16*T1*T2^9 + 
      44*T1^2*T2^9 - 34*T1^3*T2^9 - 77*T1^4*T2^9 + 107*T1^5*T2^9 - 
      260*T1^6*T2^9 - 371*T1^7*T2^9 + 84*T1^8*T2^9 + 488*T1^9*T2^9 - 
      275*T1^10*T2^9 + 372*T1^11*T2^9 - 145*T1^12*T2^9 - 3*T1^13*T2^9 + 
      56*T1^14*T2^9 - 24*T1^15*T2^9 - 12*T1^16*T2^9 - 27*T1^2*T2^10 - 
      4*T1^3*T2^10 + 75*T1^4*T2^10 - 67*T1^5*T2^10 + 56*T1^6*T2^10 + 
      268*T1^7*T2^10 + 23*T1^8*T2^10 - 275*T1^9*T2^10 - 165*T1^10*T2^10 - 
      52*T1^11*T2^10 - 110*T1^12*T2^10 + 113*T1^13*T2^10 - 65*T1^14*T2^10 + 
      4*T1^15*T2^10 + 27*T1^16*T2^10 + 28*T1^3*T2^11 - 52*T1^4*T2^11 + 
      T1^5*T2^11 + 45*T1^6*T2^11 - 85*T1^7*T2^11 - 224*T1^8*T2^11 + 
      372*T1^9*T2^11 - 52*T1^10*T2^11 + 304*T1^11*T2^11 - 73*T1^12*T2^11 + 
      35*T1^13*T2^11 - 35*T1^14*T2^11 + 48*T1^15*T2^11 - 42*T1^16*T2^11 - 
      15*T1^4*T2^12 + 60*T1^5*T2^12 - 49*T1^6*T2^12 - 29*T1^7*T2^12 + 
      182*T1^8*T2^12 - 145*T1^9*T2^12 - 110*T1^10*T2^12 - 73*T1^11*T2^12 - 
      98*T1^12*T2^12 + 27*T1^13*T2^12 + 43*T1^14*T2^12 - 68*T1^15*T2^12 + 
      45*T1^16*T2^12 - 36*T1^6*T2^13 + 74*T1^7*T2^13 - 78*T1^8*T2^13 - 
      3*T1^9*T2^13 + 113*T1^10*T2^13 + 35*T1^11*T2^13 + 27*T1^12*T2^13 + 
      84*T1^13*T2^13 - 124*T1^14*T2^13 + 96*T1^15*T2^13 - 42*T1^16*T2^13 + 
      9*T1^6*T2^14 - 4*T1^7*T2^14 - 21*T1^8*T2^14 + 56*T1^9*T2^14 - 
      65*T1^10*T2^14 - 35*T1^11*T2^14 + 43*T1^12*T2^14 - 124*T1^13*T2^14 + 
      123*T1^14*T2^14 - 76*T1^15*T2^14 + 27*T1^16*T2^14 - 8*T1^7*T2^15 + 
      20*T1^8*T2^15 - 24*T1^9*T2^15 + 4*T1^10*T2^15 + 48*T1^11*T2^15 - 
      68*T1^12*T2^15 + 96*T1^13*T2^15 - 76*T1^14*T2^15 + 40*T1^15*T2^15 - 
      12*T1^16*T2^15 + 3*T1^8*T2^16 - 12*T1^9*T2^16 + 27*T1^10*T2^16 - 
      42*T1^11*T2^16 + 45*T1^12*T2^16 - 42*T1^13*T2^16 + 27*T1^14*T2^16 - 
      12*T1^15*T2^16 + 3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 788] -> 
  {-((2 - 10*T + 25*T^2 - 35*T^3 + 25*T^4 - 10*T^5 + 2*T^6)/T^3), 
   -((-25 + 124*T1 - 310*T1^2 + 435*T1^3 - 310*T1^4 + 124*T1^5 - 25*T1^6 + 
      124*T2 - 532*T1*T2 + 1123*T1^2*T2 - 1119*T1^3*T2 + 81*T1^4*T2 + 
      423*T1^5*T2 - 292*T1^6*T2 + 84*T1^7*T2 - 310*T2^2 + 1123*T1*T2^2 - 
      1897*T1^2*T2^2 + 809*T1^3*T2^2 + 1993*T1^4*T2^2 - 1691*T1^5*T2^2 + 
      403*T1^6*T2^2 + 123*T1^7*T2^2 - 110*T1^8*T2^2 + 435*T2^3 - 
      1119*T1*T2^3 + 809*T1^2*T2^3 + 2580*T1^3*T2^3 - 6073*T1^4*T2^3 + 
      1577*T1^5*T2^3 + 1600*T1^6*T2^3 - 1441*T1^7*T2^3 + 481*T1^8*T2^3 + 
      15*T1^9*T2^3 - 310*T2^4 + 81*T1*T2^4 + 1993*T1^2*T2^4 - 
      6073*T1^3*T2^4 + 5409*T1^4*T2^4 + 5715*T1^5*T2^4 - 7491*T1^6*T2^4 + 
      3027*T1^7*T2^4 - 7*T1^8*T2^4 - 519*T1^9*T2^4 + 90*T1^10*T2^4 + 
      124*T2^5 + 423*T1*T2^5 - 1691*T1^2*T2^5 + 1577*T1^3*T2^5 + 
      5715*T1^4*T2^5 - 17111*T1^5*T2^5 + 10339*T1^6*T2^5 + 340*T1^7*T2^5 - 
      3173*T1^8*T2^5 + 1559*T1^9*T2^5 - 77*T1^10*T2^5 - 76*T1^11*T2^5 - 
      25*T2^6 - 292*T1*T2^6 + 403*T1^2*T2^6 + 1600*T1^3*T2^6 - 
      7491*T1^4*T2^6 + 10339*T1^5*T2^6 + 2616*T1^6*T2^6 - 11951*T1^7*T2^6 + 
      7859*T1^8*T2^6 - 1740*T1^9*T2^6 - 497*T1^10*T2^6 + 268*T1^11*T2^6 + 
      23*T1^12*T2^6 + 84*T1*T2^7 + 123*T1^2*T2^7 - 1441*T1^3*T2^7 + 
      3027*T1^4*T2^7 + 340*T1^5*T2^7 - 11951*T1^6*T2^7 + 15499*T1^7*T2^7 - 
      5035*T1^8*T2^7 - 1723*T1^9*T2^7 + 1809*T1^10*T2^7 - 377*T1^11*T2^7 - 
      116*T1^12*T2^7 - 110*T1^2*T2^8 + 481*T1^3*T2^8 - 7*T1^4*T2^8 - 
      3173*T1^5*T2^8 + 7859*T1^6*T2^8 - 5035*T1^7*T2^8 - 5041*T1^8*T2^8 + 
      5927*T1^9*T2^8 - 2007*T1^10*T2^8 - 119*T1^11*T2^8 + 290*T1^12*T2^8 + 
      15*T1^3*T2^9 - 519*T1^4*T2^9 + 1559*T1^5*T2^9 - 1740*T1^6*T2^9 - 
      1723*T1^7*T2^9 + 5927*T1^8*T2^9 - 2720*T1^9*T2^9 - 691*T1^10*T2^9 + 
      1081*T1^11*T2^9 - 405*T1^12*T2^9 + 90*T1^4*T2^10 - 77*T1^5*T2^10 - 
      497*T1^6*T2^10 + 1809*T1^7*T2^10 - 2007*T1^8*T2^10 - 691*T1^9*T2^10 + 
      1803*T1^10*T2^10 - 1077*T1^11*T2^10 + 290*T1^12*T2^10 - 76*T1^5*T2^11 + 
      268*T1^6*T2^11 - 377*T1^7*T2^11 - 119*T1^8*T2^11 + 1081*T1^9*T2^11 - 
      1077*T1^10*T2^11 + 508*T1^11*T2^11 - 116*T1^12*T2^11 + 23*T1^6*T2^12 - 
      116*T1^7*T2^12 + 290*T1^8*T2^12 - 405*T1^9*T2^12 + 290*T1^10*T2^12 - 
      116*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 789] -> 
  {-((2 - 9*T + 20*T^2 - 27*T^3 + 20*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-23 + 103*T1 - 228*T1^2 + 307*T1^3 - 228*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 396*T1*T2 + 727*T1^2*T2 - 717*T1^3*T2 + 129*T1^4*T2 + 
      205*T1^5*T2 - 198*T1^6*T2 + 67*T1^7*T2 - 228*T2^2 + 727*T1*T2^2 - 
      972*T1^2*T2^2 + 272*T1^3*T2^2 + 1222*T1^4*T2^2 - 1168*T1^5*T2^2 + 
      468*T1^6*T2^2 + 7*T1^7*T2^2 - 68*T1^8*T2^2 + 307*T2^3 - 717*T1*T2^3 + 
      272*T1^2*T2^3 + 1432*T1^3*T2^3 - 2896*T1^4*T2^3 + 866*T1^5*T2^3 + 
      910*T1^6*T2^3 - 988*T1^7*T2^3 + 381*T1^8*T2^3 - 17*T1^9*T2^3 - 
      228*T2^4 + 129*T1*T2^4 + 1222*T1^2*T2^4 - 2896*T1^3*T2^4 + 
      2105*T1^4*T2^4 + 2401*T1^5*T2^4 - 3763*T1^6*T2^4 + 1532*T1^7*T2^4 + 
      48*T1^8*T2^4 - 339*T1^9*T2^4 + 92*T1^10*T2^4 + 103*T2^5 + 205*T1*T2^5 - 
      1168*T1^2*T2^5 + 866*T1^3*T2^5 + 2401*T1^4*T2^5 - 6200*T1^5*T2^5 + 
      4510*T1^6*T2^5 + 601*T1^7*T2^5 - 1564*T1^8*T2^5 + 812*T1^9*T2^5 - 
      65*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 198*T1*T2^6 + 468*T1^2*T2^6 + 
      910*T1^3*T2^6 - 3763*T1^4*T2^6 + 4510*T1^5*T2^6 - 828*T1^6*T2^6 - 
      4274*T1^7*T2^6 + 2369*T1^8*T2^6 - 458*T1^9*T2^6 - 368*T1^10*T2^6 + 
      234*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 + 7*T1^2*T2^7 - 
      988*T1^3*T2^7 + 1532*T1^4*T2^7 + 601*T1^5*T2^7 - 4274*T1^6*T2^7 + 
      6436*T1^7*T2^7 - 1199*T1^8*T2^7 - 898*T1^9*T2^7 + 992*T1^10*T2^7 - 
      263*T1^11*T2^7 - 113*T1^12*T2^7 - 68*T1^2*T2^8 + 381*T1^3*T2^8 + 
      48*T1^4*T2^8 - 1564*T1^5*T2^8 + 2369*T1^6*T2^8 - 1199*T1^7*T2^8 - 
      3499*T1^8*T2^8 + 2864*T1^9*T2^8 - 1126*T1^10*T2^8 - 87*T1^11*T2^8 + 
      252*T1^12*T2^8 - 17*T1^3*T2^9 - 339*T1^4*T2^9 + 812*T1^5*T2^9 - 
      458*T1^6*T2^9 - 898*T1^7*T2^9 + 2864*T1^8*T2^9 - 980*T1^9*T2^9 - 
      448*T1^10*T2^9 + 759*T1^11*T2^9 - 341*T1^12*T2^9 + 92*T1^4*T2^10 - 
      65*T1^5*T2^10 - 368*T1^6*T2^10 + 992*T1^7*T2^10 - 1126*T1^8*T2^10 - 
      448*T1^9*T2^10 + 1072*T1^10*T2^10 - 785*T1^11*T2^10 + 252*T1^12*T2^10 - 
      77*T1^5*T2^11 + 234*T1^6*T2^11 - 263*T1^7*T2^11 - 87*T1^8*T2^11 + 
      759*T1^9*T2^11 - 785*T1^10*T2^11 + 432*T1^11*T2^11 - 113*T1^12*T2^11 + 
      25*T1^6*T2^12 - 113*T1^7*T2^12 + 252*T1^8*T2^12 - 341*T1^9*T2^12 + 
      252*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 790] -> 
  {(1 - 5*T + 15*T^2 - 28*T^3 + 35*T^4 - 28*T^5 + 15*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 60*T1^2 + 112*T1^3 - 140*T1^4 + 112*T1^5 - 60*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 225*T1^2*T2 - 335*T1^3*T2 + 
     280*T1^4*T2 - 35*T1^5*T2 - 120*T1^6*T2 + 125*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 60*T2^2 + 225*T1*T2^2 - 556*T1^2*T2^2 + 711*T1^3*T2^2 - 
     463*T1^4*T2^2 - 88*T1^5*T2^2 + 137*T1^6*T2^2 + 21*T1^7*T2^2 - 
     136*T1^8*T2^2 + 75*T1^9*T2^2 - 30*T1^10*T2^2 + 112*T2^3 - 335*T1*T2^3 + 
     711*T1^2*T2^3 - 507*T1^3*T2^3 - 239*T1^4*T2^3 + 943*T1^5*T2^3 - 
     170*T1^6*T2^3 - 374*T1^7*T2^3 + 429*T1^8*T2^3 - 99*T1^9*T2^3 + 
     10*T1^10*T2^3 + 28*T1^11*T2^3 - 140*T2^4 + 280*T1*T2^4 - 463*T1^2*T2^4 - 
     239*T1^3*T2^4 + 822*T1^4*T2^4 - 358*T1^5*T2^4 - 2052*T1^6*T2^4 + 
     2022*T1^7*T2^4 - 858*T1^8*T2^4 - 239*T1^9*T2^4 + 237*T1^10*T2^4 - 
     140*T1^11*T2^4 + 112*T2^5 - 35*T1*T2^5 - 88*T1^2*T2^5 + 943*T1^3*T2^5 - 
     358*T1^4*T2^5 - 1907*T1^5*T2^5 + 4705*T1^6*T2^5 - 1980*T1^7*T2^5 - 
     787*T1^8*T2^5 + 1567*T1^9*T2^5 - 492*T1^10*T2^5 + 17*T1^11*T2^5 + 
     140*T1^12*T2^5 - 28*T1^13*T2^5 - 60*T2^6 - 120*T1*T2^6 + 137*T1^2*T2^6 - 
     170*T1^3*T2^6 - 2052*T1^4*T2^6 + 4705*T1^5*T2^6 - 4578*T1^6*T2^6 - 
     2092*T1^7*T2^6 + 4802*T1^8*T2^6 - 2925*T1^9*T2^6 + 118*T1^10*T2^6 + 
     460*T1^11*T2^6 - 263*T1^12*T2^6 - 10*T1^13*T2^6 + 30*T1^14*T2^6 + 
     20*T2^7 + 125*T1*T2^7 + 21*T1^2*T2^7 - 374*T1^3*T2^7 + 2022*T1^4*T2^7 - 
     1980*T1^5*T2^7 - 2092*T1^6*T2^7 + 8488*T1^7*T2^7 - 6362*T1^8*T2^7 - 
     2*T1^9*T2^7 + 2815*T1^10*T2^7 - 1723*T1^11*T2^7 + 301*T1^12*T2^7 + 
     111*T1^13*T2^7 - 75*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     136*T1^2*T2^8 + 429*T1^3*T2^8 - 858*T1^4*T2^8 - 787*T1^5*T2^8 + 
     4802*T1^6*T2^8 - 6362*T1^7*T2^8 + 6358*T1^9*T2^8 - 4742*T1^10*T2^8 + 
     991*T1^11*T2^8 + 882*T1^12*T2^8 - 477*T1^13*T2^8 + 134*T1^14*T2^8 + 
     55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 75*T1^2*T2^9 - 
     99*T1^3*T2^9 - 239*T1^4*T2^9 + 1567*T1^5*T2^9 - 2925*T1^6*T2^9 - 
     2*T1^7*T2^9 + 6358*T1^8*T2^9 - 8492*T1^9*T2^9 + 2088*T1^10*T2^9 + 
     1870*T1^11*T2^9 - 2178*T1^12*T2^9 + 436*T1^13*T2^9 - 9*T1^14*T2^9 - 
     125*T1^15*T2^9 - 20*T1^16*T2^9 - 30*T1^2*T2^10 + 10*T1^3*T2^10 + 
     237*T1^4*T2^10 - 492*T1^5*T2^10 + 118*T1^6*T2^10 + 2815*T1^7*T2^10 - 
     4742*T1^8*T2^10 + 2088*T1^9*T2^10 + 4638*T1^10*T2^10 - 
     4815*T1^11*T2^10 + 2288*T1^12*T2^10 + 138*T1^13*T2^10 - 
     163*T1^14*T2^10 + 120*T1^15*T2^10 + 60*T1^16*T2^10 + 28*T1^3*T2^11 - 
     140*T1^4*T2^11 + 17*T1^5*T2^11 + 460*T1^6*T2^11 - 1723*T1^7*T2^11 + 
     991*T1^8*T2^11 + 1870*T1^9*T2^11 - 4815*T1^10*T2^11 + 2111*T1^11*T2^11 + 
     202*T1^12*T2^11 - 975*T1^13*T2^11 + 122*T1^14*T2^11 + 35*T1^15*T2^11 - 
     112*T1^16*T2^11 + 140*T1^5*T2^12 - 263*T1^6*T2^12 + 301*T1^7*T2^12 + 
     882*T1^8*T2^12 - 2178*T1^9*T2^12 + 2288*T1^10*T2^12 + 202*T1^11*T2^12 - 
     798*T1^12*T2^12 + 301*T1^13*T2^12 + 437*T1^14*T2^12 - 280*T1^15*T2^12 + 
     140*T1^16*T2^12 - 28*T1^5*T2^13 - 10*T1^6*T2^13 + 111*T1^7*T2^13 - 
     477*T1^8*T2^13 + 436*T1^9*T2^13 + 138*T1^10*T2^13 - 975*T1^11*T2^13 + 
     301*T1^12*T2^13 + 459*T1^13*T2^13 - 699*T1^14*T2^13 + 335*T1^15*T2^13 - 
     112*T1^16*T2^13 + 30*T1^6*T2^14 - 75*T1^7*T2^14 + 134*T1^8*T2^14 - 
     9*T1^9*T2^14 - 163*T1^10*T2^14 + 122*T1^11*T2^14 + 437*T1^12*T2^14 - 
     699*T1^13*T2^14 + 554*T1^14*T2^14 - 225*T1^15*T2^14 + 60*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 125*T1^9*T2^15 + 120*T1^10*T2^15 + 
     35*T1^11*T2^15 - 280*T1^12*T2^15 + 335*T1^13*T2^15 - 225*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     60*T1^10*T2^16 - 112*T1^11*T2^16 + 140*T1^12*T2^16 - 112*T1^13*T2^16 + 
     60*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 791] -> 
  {(1 - 5*T + 13*T^2 - 18*T^3 + 19*T^4 - 18*T^5 + 13*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 78*T1^2 + 108*T1^3 - 114*T1^4 + 108*T1^5 - 78*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 265*T1^2*T2 - 215*T1^3*T2 + 
     120*T1^4*T2 - 65*T1^5*T2 - 60*T1^6*T2 + 175*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 78*T2^2 + 265*T1*T2^2 - 436*T1^2*T2^2 + 19*T1^3*T2^2 + 
     137*T1^4*T2^2 - 92*T1^5*T2^2 + 293*T1^6*T2^2 - 319*T1^7*T2^2 - 
     124*T1^8*T2^2 + 135*T1^9*T2^2 - 52*T1^10*T2^2 + 108*T2^3 - 215*T1*T2^3 + 
     19*T1^2*T2^3 + 1077*T1^3*T2^3 - 756*T1^4*T2^3 + 284*T1^5*T2^3 - 
     447*T1^6*T2^3 - 37*T1^7*T2^3 + 933*T1^8*T2^3 - 293*T1^9*T2^3 - 
     10*T1^10*T2^3 + 54*T1^11*T2^3 - 114*T2^4 + 120*T1*T2^4 + 137*T1^2*T2^4 - 
     756*T1^3*T2^4 - 1401*T1^4*T2^4 + 2268*T1^5*T2^4 - 1799*T1^6*T2^4 + 
     2360*T1^7*T2^4 - 2373*T1^8*T2^4 + 36*T1^9*T2^4 + 225*T1^10*T2^4 - 
     80*T1^11*T2^4 - 38*T1^12*T2^4 + 108*T2^5 - 65*T1*T2^5 - 92*T1^2*T2^5 + 
     284*T1^3*T2^5 + 2268*T1^4*T2^5 - 1707*T1^5*T2^5 + 441*T1^6*T2^5 - 
     1002*T1^7*T2^5 + 417*T1^8*T2^5 + 1761*T1^9*T2^5 - 397*T1^10*T2^5 - 
     71*T1^11*T2^5 + 100*T1^12*T2^5 + 18*T1^13*T2^5 - 78*T2^6 - 60*T1*T2^6 + 
     293*T1^2*T2^6 - 447*T1^3*T2^6 - 1799*T1^4*T2^6 + 441*T1^5*T2^6 + 
     373*T1^6*T2^6 + 837*T1^7*T2^6 - 407*T1^8*T2^6 - 905*T1^9*T2^6 - 
     869*T1^10*T2^6 + 359*T1^11*T2^6 + T1^12*T2^6 - 90*T1^13*T2^6 + 30*T2^7 + 
     175*T1*T2^7 - 319*T1^2*T2^7 - 37*T1^3*T2^7 + 2360*T1^4*T2^7 - 
     1002*T1^5*T2^7 + 837*T1^6*T2^7 - 2240*T1^7*T2^7 + 1228*T1^8*T2^7 + 
     311*T1^9*T2^7 + 635*T1^10*T2^7 + 471*T1^11*T2^7 - 464*T1^12*T2^7 + 
     149*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     124*T1^2*T2^8 + 933*T1^3*T2^8 - 2373*T1^4*T2^8 + 417*T1^5*T2^8 - 
     407*T1^6*T2^8 + 1228*T1^7*T2^8 + 744*T1^8*T2^8 - 1912*T1^9*T2^8 + 
     741*T1^10*T2^8 - 1269*T1^11*T2^8 + 627*T1^12*T2^8 + 7*T1^13*T2^8 - 
     94*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     135*T1^2*T2^9 - 293*T1^3*T2^9 + 36*T1^4*T2^9 + 1761*T1^5*T2^9 - 
     905*T1^6*T2^9 + 311*T1^7*T2^9 - 1912*T1^8*T2^9 + 1556*T1^9*T2^9 - 
     215*T1^10*T2^9 + 732*T1^11*T2^9 - 128*T1^12*T2^9 - 391*T1^13*T2^9 + 
     175*T1^14*T2^9 - 15*T1^15*T2^9 - 10*T1^16*T2^9 - 52*T1^2*T2^10 - 
     10*T1^3*T2^10 + 225*T1^4*T2^10 - 397*T1^5*T2^10 - 869*T1^6*T2^10 + 
     635*T1^7*T2^10 + 741*T1^8*T2^10 - 215*T1^9*T2^10 - 39*T1^10*T2^10 - 
     711*T1^11*T2^10 + 61*T1^12*T2^10 + 409*T1^13*T2^10 - 67*T1^14*T2^10 - 
     40*T1^15*T2^10 + 26*T1^16*T2^10 + 54*T1^3*T2^11 - 80*T1^4*T2^11 - 
     71*T1^5*T2^11 + 359*T1^6*T2^11 + 471*T1^7*T2^11 - 1269*T1^8*T2^11 + 
     732*T1^9*T2^11 - 711*T1^10*T2^11 + 855*T1^11*T2^11 - 36*T1^12*T2^11 - 
     322*T1^13*T2^11 - 50*T1^14*T2^11 + 85*T1^15*T2^11 - 36*T1^16*T2^11 - 
     38*T1^4*T2^12 + 100*T1^5*T2^12 + T1^6*T2^12 - 464*T1^7*T2^12 + 
     627*T1^8*T2^12 - 128*T1^9*T2^12 + 61*T1^10*T2^12 - 36*T1^11*T2^12 - 
     345*T1^12*T2^12 + 328*T1^13*T2^12 + 89*T1^14*T2^12 - 100*T1^15*T2^12 + 
     38*T1^16*T2^12 + 18*T1^5*T2^13 - 90*T1^6*T2^13 + 149*T1^7*T2^13 + 
     7*T1^8*T2^13 - 391*T1^9*T2^13 + 409*T1^10*T2^13 - 322*T1^11*T2^13 + 
     328*T1^12*T2^13 - 137*T1^13*T2^13 - 163*T1^14*T2^13 + 115*T1^15*T2^13 - 
     36*T1^16*T2^13 + 25*T1^7*T2^14 - 94*T1^8*T2^14 + 175*T1^9*T2^14 - 
     67*T1^10*T2^14 - 50*T1^11*T2^14 + 89*T1^12*T2^14 - 163*T1^13*T2^14 + 
     218*T1^14*T2^14 - 105*T1^15*T2^14 + 26*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 15*T1^9*T2^15 - 40*T1^10*T2^15 + 85*T1^11*T2^15 - 
     100*T1^12*T2^15 + 115*T1^13*T2^15 - 105*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 26*T1^10*T2^16 - 
     36*T1^11*T2^16 + 38*T1^12*T2^16 - 36*T1^13*T2^16 + 26*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 792] -> 
  {-((1 - 4*T + 10*T^2 - 16*T^3 + 17*T^4 - 16*T^5 + 10*T^6 - 4*T^7 + T^8)/
     T^4), -((-3 + 12*T1 - 30*T1^2 + 48*T1^3 - 51*T1^4 + 48*T1^5 - 30*T1^6 + 
      12*T1^7 - 3*T1^8 + 12*T2 - 40*T1*T2 + 88*T1^2*T2 - 112*T1^3*T2 + 
      76*T1^4*T2 - 56*T1^5*T2 - 8*T1^6*T2 + 32*T1^7*T2 - 20*T1^8*T2 + 
      8*T1^9*T2 - 30*T2^2 + 88*T1*T2^2 - 180*T1^2*T2^2 + 197*T1^3*T2^2 - 
      102*T1^4*T2^2 + 106*T1^5*T2^2 + 38*T1^6*T2^2 - 43*T1^7*T2^2 + 
      8*T1^9*T2^2 - 10*T1^10*T2^2 + 48*T2^3 - 112*T1*T2^3 + 197*T1^2*T2^3 - 
      132*T1^3*T2^3 - 35*T1^4*T2^3 - 72*T1^5*T2^3 - 144*T1^6*T2^3 - 
      3*T1^7*T2^3 + 124*T1^8*T2^3 - 83*T1^9*T2^3 + 40*T1^10*T2^3 - 51*T2^4 + 
      76*T1*T2^4 - 102*T1^2*T2^4 - 35*T1^3*T2^4 + 126*T1^4*T2^4 + 
      221*T1^5*T2^4 + 38*T1^6*T2^4 + 301*T1^7*T2^4 - 322*T1^8*T2^4 + 
      29*T1^9*T2^4 + 66*T1^10*T2^4 - 68*T1^11*T2^4 + 17*T1^12*T2^4 + 
      48*T2^5 - 56*T1*T2^5 + 106*T1^2*T2^5 - 72*T1^3*T2^5 + 221*T1^4*T2^5 - 
      760*T1^5*T2^5 + 357*T1^6*T2^5 - 739*T1^7*T2^5 + 476*T1^8*T2^5 + 
      89*T1^9*T2^5 - 32*T1^10*T2^5 - 38*T1^11*T2^5 + 60*T1^12*T2^5 - 
      32*T1^13*T2^5 - 30*T2^6 - 8*T1*T2^6 + 38*T1^2*T2^6 - 144*T1^3*T2^6 + 
      38*T1^4*T2^6 + 357*T1^5*T2^6 + 170*T1^6*T2^6 + 334*T1^7*T2^6 + 
      18*T1^8*T2^6 - 587*T1^9*T2^6 + 22*T1^10*T2^6 + 96*T1^11*T2^6 - 
      46*T1^12*T2^6 + 8*T1^13*T2^6 + 30*T1^14*T2^6 + 12*T2^7 + 32*T1*T2^7 - 
      43*T1^2*T2^7 - 3*T1^3*T2^7 + 301*T1^4*T2^7 - 739*T1^5*T2^7 + 
      334*T1^6*T2^7 - 726*T1^7*T2^7 + 118*T1^8*T2^7 + 446*T1^9*T2^7 + 
      661*T1^10*T2^7 - 415*T1^11*T2^7 + 93*T1^12*T2^7 - 3*T1^13*T2^7 - 
      56*T1^14*T2^7 - 16*T1^15*T2^7 - 3*T2^8 - 20*T1*T2^8 + 124*T1^3*T2^8 - 
      322*T1^4*T2^8 + 476*T1^5*T2^8 + 18*T1^6*T2^8 + 118*T1^7*T2^8 + 
      156*T1^8*T2^8 - 266*T1^9*T2^8 - 1182*T1^10*T2^8 + 188*T1^11*T2^8 + 
      230*T1^12*T2^8 - 132*T1^13*T2^8 + 96*T1^14*T2^8 + 44*T1^15*T2^8 + 
      5*T1^16*T2^8 + 8*T1*T2^9 + 8*T1^2*T2^9 - 83*T1^3*T2^9 + 29*T1^4*T2^9 + 
      89*T1^5*T2^9 - 587*T1^6*T2^9 + 446*T1^7*T2^9 - 266*T1^8*T2^9 + 
      578*T1^9*T2^9 + 558*T1^10*T2^9 + 813*T1^11*T2^9 - 627*T1^12*T2^9 + 
      125*T1^13*T2^9 - 43*T1^14*T2^9 - 80*T1^15*T2^9 - 20*T1^16*T2^9 - 
      10*T1^2*T2^10 + 40*T1^3*T2^10 + 66*T1^4*T2^10 - 32*T1^5*T2^10 + 
      22*T1^6*T2^10 + 661*T1^7*T2^10 - 1182*T1^8*T2^10 + 558*T1^9*T2^10 - 
      1334*T1^10*T2^10 - 283*T1^11*T2^10 + 6*T1^12*T2^10 + 208*T1^13*T2^10 - 
      18*T1^14*T2^10 + 56*T1^15*T2^10 + 50*T1^16*T2^10 - 68*T1^4*T2^11 - 
      38*T1^5*T2^11 + 96*T1^6*T2^11 - 415*T1^7*T2^11 + 188*T1^8*T2^11 + 
      813*T1^9*T2^11 - 283*T1^10*T2^11 + 1424*T1^11*T2^11 - 547*T1^12*T2^11 + 
      136*T1^13*T2^11 - 182*T1^14*T2^11 + 48*T1^15*T2^11 - 80*T1^16*T2^11 + 
      17*T1^4*T2^12 + 60*T1^5*T2^12 - 46*T1^6*T2^12 + 93*T1^7*T2^12 + 
      230*T1^8*T2^12 - 627*T1^9*T2^12 + 6*T1^10*T2^12 - 547*T1^11*T2^12 - 
      218*T1^12*T2^12 + 157*T1^13*T2^12 + 122*T1^14*T2^12 - 84*T1^15*T2^12 + 
      85*T1^16*T2^12 - 32*T1^5*T2^13 + 8*T1^6*T2^13 - 3*T1^7*T2^13 - 
      132*T1^8*T2^13 + 125*T1^9*T2^13 + 208*T1^10*T2^13 + 136*T1^11*T2^13 + 
      157*T1^12*T2^13 + 124*T1^13*T2^13 - 283*T1^14*T2^13 + 160*T1^15*T2^13 - 
      80*T1^16*T2^13 + 30*T1^6*T2^14 - 56*T1^7*T2^14 + 96*T1^8*T2^14 - 
      43*T1^9*T2^14 - 18*T1^10*T2^14 - 182*T1^11*T2^14 + 122*T1^12*T2^14 - 
      283*T1^13*T2^14 + 276*T1^14*T2^14 - 136*T1^15*T2^14 + 50*T1^16*T2^14 - 
      16*T1^7*T2^15 + 44*T1^8*T2^15 - 80*T1^9*T2^15 + 56*T1^10*T2^15 + 
      48*T1^11*T2^15 - 84*T1^12*T2^15 + 160*T1^13*T2^15 - 136*T1^14*T2^15 + 
      64*T1^15*T2^15 - 20*T1^16*T2^15 + 5*T1^8*T2^16 - 20*T1^9*T2^16 + 
      50*T1^10*T2^16 - 80*T1^11*T2^16 + 85*T1^12*T2^16 - 80*T1^13*T2^16 + 
      50*T1^14*T2^16 - 20*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 793] -> 
  {-((3 - 9*T + 12*T^2 - 13*T^3 + 12*T^4 - 9*T^5 + 3*T^6)/T^3), 
   -((-138 + 411*T1 - 545*T1^2 + 590*T1^3 - 545*T1^4 + 411*T1^5 - 138*T1^6 + 
      411*T2 - 893*T1*T2 + 640*T1^2*T2 - 457*T1^3*T2 + 218*T1^4*T2 + 
      73*T1^5*T2 - 569*T1^6*T2 + 330*T1^7*T2 - 545*T2^2 + 640*T1*T2^2 + 
      468*T1^2*T2^2 - 647*T1^3*T2^2 + 844*T1^4*T2^2 - 935*T1^5*T2^2 + 
      1116*T1^6*T2^2 - 8*T1^7*T2^2 - 329*T1^8*T2^2 + 590*T2^3 - 457*T1*T2^3 - 
      647*T1^2*T2^3 + 119*T1^3*T2^3 - 144*T1^4*T2^3 + 99*T1^5*T2^3 - 
      277*T1^6*T2^3 - 755*T1^7*T2^3 + 272*T1^8*T2^3 + 239*T1^9*T2^3 - 
      545*T2^4 + 218*T1*T2^4 + 844*T1^2*T2^4 - 144*T1^3*T2^4 + 
      459*T1^4*T2^4 - 557*T1^5*T2^4 + 819*T1^6*T2^4 + 90*T1^7*T2^4 + 
      466*T1^8*T2^4 - 376*T1^9*T2^4 - 113*T1^10*T2^4 + 411*T2^5 + 
      73*T1*T2^5 - 935*T1^2*T2^5 + 99*T1^3*T2^5 - 557*T1^4*T2^5 + 
      643*T1^5*T2^5 - 641*T1^6*T2^5 - 269*T1^7*T2^5 - 162*T1^8*T2^5 - 
      107*T1^9*T2^5 + 316*T1^10*T2^5 + 6*T1^11*T2^5 - 138*T2^6 - 
      569*T1*T2^6 + 1116*T1^2*T2^6 - 277*T1^3*T2^6 + 819*T1^4*T2^6 - 
      641*T1^5*T2^6 + 108*T1^6*T2^6 + 637*T1^7*T2^6 - 153*T1^8*T2^6 + 
      317*T1^9*T2^6 - 288*T1^10*T2^6 - 83*T1^11*T2^6 + 24*T1^12*T2^6 + 
      330*T1*T2^7 - 8*T1^2*T2^7 - 755*T1^3*T2^7 + 90*T1^4*T2^7 - 
      269*T1^5*T2^7 + 637*T1^6*T2^7 - 647*T1^7*T2^7 + 19*T1^8*T2^7 - 
      171*T1^9*T2^7 + 73*T1^10*T2^7 + 235*T1^11*T2^7 - 75*T1^12*T2^7 - 
      329*T1^2*T2^8 + 272*T1^3*T2^8 + 466*T1^4*T2^8 - 162*T1^5*T2^8 - 
      153*T1^6*T2^8 + 19*T1^7*T2^8 + 207*T1^8*T2^8 + 72*T1^9*T2^8 + 
      88*T1^10*T2^8 - 322*T1^11*T2^8 + 103*T1^12*T2^8 + 239*T1^3*T2^9 - 
      376*T1^4*T2^9 - 107*T1^5*T2^9 + 317*T1^6*T2^9 - 171*T1^7*T2^9 + 
      72*T1^8*T2^9 - 79*T1^9*T2^9 - 215*T1^10*T2^9 + 353*T1^11*T2^9 - 
      112*T1^12*T2^9 - 113*T1^4*T2^10 + 316*T1^5*T2^10 - 288*T1^6*T2^10 + 
      73*T1^7*T2^10 + 88*T1^8*T2^10 - 215*T1^9*T2^10 + 360*T1^10*T2^10 - 
      332*T1^11*T2^10 + 103*T1^12*T2^10 + 6*T1^5*T2^11 - 83*T1^6*T2^11 + 
      235*T1^7*T2^11 - 322*T1^8*T2^11 + 353*T1^9*T2^11 - 332*T1^10*T2^11 + 
      241*T1^11*T2^11 - 75*T1^12*T2^11 + 24*T1^6*T2^12 - 75*T1^7*T2^12 + 
      103*T1^8*T2^12 - 112*T1^9*T2^12 + 103*T1^10*T2^12 - 75*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 794] -> 
  {-((2 - 9*T + 23*T^2 - 33*T^3 + 23*T^4 - 9*T^5 + 2*T^6)/T^3), 
   -((-23 + 104*T1 - 266*T1^2 + 381*T1^3 - 266*T1^4 + 104*T1^5 - 23*T1^6 + 
      104*T2 - 402*T1*T2 + 894*T1^2*T2 - 934*T1^3*T2 + 74*T1^4*T2 + 
      318*T1^5*T2 - 204*T1^6*T2 + 68*T1^7*T2 - 266*T2^2 + 894*T1*T2^2 - 
      1740*T1^2*T2^2 + 1143*T1^3*T2^2 + 1166*T1^4*T2^2 - 1065*T1^5*T2^2 + 
      192*T1^6*T2^2 + 66*T1^7*T2^2 - 82*T1^8*T2^2 + 381*T2^3 - 934*T1*T2^3 + 
      1143*T1^2*T2^3 + 1229*T1^3*T2^3 - 4294*T1^4*T2^3 + 962*T1^5*T2^3 + 
      1535*T1^6*T2^3 - 1134*T1^7*T2^3 + 434*T1^8*T2^3 - 15*T1^9*T2^3 - 
      266*T2^4 + 74*T1*T2^4 + 1166*T1^2*T2^4 - 4294*T1^3*T2^4 + 
      4193*T1^4*T2^4 + 4383*T1^5*T2^4 - 6199*T1^6*T2^4 + 2108*T1^7*T2^4 + 
      52*T1^8*T2^4 - 394*T1^9*T2^4 + 102*T1^10*T2^4 + 104*T2^5 + 
      318*T1*T2^5 - 1065*T1^2*T2^5 + 962*T1^3*T2^5 + 4383*T1^4*T2^5 - 
      13670*T1^5*T2^5 + 9952*T1^6*T2^5 - 240*T1^7*T2^5 - 2002*T1^8*T2^5 + 
      936*T1^9*T2^5 - 114*T1^10*T2^5 - 76*T1^11*T2^5 - 23*T2^6 - 
      204*T1*T2^6 + 192*T1^2*T2^6 + 1535*T1^3*T2^6 - 6199*T1^4*T2^6 + 
      9952*T1^5*T2^6 - 1704*T1^6*T2^6 - 8852*T1^7*T2^6 + 5879*T1^8*T2^6 - 
      1327*T1^9*T2^6 - 56*T1^10*T2^6 + 228*T1^11*T2^6 + 25*T1^12*T2^6 + 
      68*T1*T2^7 + 66*T1^2*T2^7 - 1134*T1^3*T2^7 + 2108*T1^4*T2^7 - 
      240*T1^5*T2^7 - 8852*T1^6*T2^7 + 14770*T1^7*T2^7 - 4863*T1^8*T2^7 - 
      856*T1^9*T2^7 + 867*T1^10*T2^7 - 366*T1^11*T2^7 - 112*T1^12*T2^7 - 
      82*T1^2*T2^8 + 434*T1^3*T2^8 + 52*T1^4*T2^8 - 2002*T1^5*T2^8 + 
      5879*T1^6*T2^8 - 4863*T1^7*T2^8 - 4513*T1^8*T2^8 + 4400*T1^9*T2^8 - 
      1062*T1^10*T2^8 - 34*T1^11*T2^8 + 286*T1^12*T2^8 - 15*T1^3*T2^9 - 
      394*T1^4*T2^9 + 936*T1^5*T2^9 - 1327*T1^6*T2^9 - 856*T1^7*T2^9 + 
      4400*T1^8*T2^9 - 1021*T1^9*T2^9 - 1341*T1^10*T2^9 + 974*T1^11*T2^9 - 
      411*T1^12*T2^9 + 102*T1^4*T2^10 - 114*T1^5*T2^10 - 56*T1^6*T2^10 + 
      867*T1^7*T2^10 - 1062*T1^8*T2^10 - 1341*T1^9*T2^10 + 1876*T1^10*T2^10 - 
      942*T1^11*T2^10 + 286*T1^12*T2^10 - 76*T1^5*T2^11 + 228*T1^6*T2^11 - 
      366*T1^7*T2^11 - 34*T1^8*T2^11 + 974*T1^9*T2^11 - 942*T1^10*T2^11 + 
      426*T1^11*T2^11 - 112*T1^12*T2^11 + 25*T1^6*T2^12 - 112*T1^7*T2^12 + 
      286*T1^8*T2^12 - 411*T1^9*T2^12 + 286*T1^10*T2^12 - 112*T1^11*T2^12 + 
      25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 795] -> 
  {-((6 - 20*T + 27*T^2 - 20*T^3 + 6*T^4)/T^2), 
   -((-699 + 2301*T1 - 3083*T1^2 + 2301*T1^3 - 699*T1^4 + 2301*T2 - 
      5988*T1*T2 + 4968*T1^2*T2 - 672*T1^3*T2 - 2868*T1^4*T2 + 1581*T1^5*T2 - 
      3083*T2^2 + 4968*T1*T2^2 + 2266*T1^2*T2^2 - 8936*T1^3*T2^2 + 
      9070*T1^4*T2^2 - 1512*T1^5*T2^2 - 1139*T1^6*T2^2 + 2301*T2^3 - 
      672*T1*T2^3 - 8936*T1^2*T2^3 + 11138*T1^3*T2^3 - 4882*T1^4*T2^3 - 
      4616*T1^5*T2^3 + 3288*T1^6*T2^3 + 141*T1^7*T2^3 - 699*T2^4 - 
      2868*T1*T2^4 + 9070*T1^2*T2^4 - 4882*T1^3*T2^4 - 3960*T1^4*T2^4 + 
      9038*T1^5*T2^4 - 3042*T1^6*T2^4 - 948*T1^7*T2^4 + 165*T1^8*T2^4 + 
      1581*T1*T2^5 - 1512*T1^2*T2^5 - 4616*T1^3*T2^5 + 9038*T1^4*T2^5 - 
      6982*T1^5*T2^5 - 296*T1^6*T2^5 + 2448*T1^7*T2^5 - 579*T1^8*T2^5 - 
      1139*T1^2*T2^6 + 3288*T1^3*T2^6 - 3042*T1^4*T2^6 - 296*T1^5*T2^6 + 
      3762*T1^6*T2^6 - 3192*T1^7*T2^6 + 805*T1^8*T2^6 + 141*T1^3*T2^7 - 
      948*T1^4*T2^7 + 2448*T1^5*T2^7 - 3192*T1^6*T2^7 + 2172*T1^7*T2^7 - 
      579*T1^8*T2^7 + 165*T1^4*T2^8 - 579*T1^5*T2^8 + 805*T1^6*T2^8 - 
      579*T1^7*T2^8 + 165*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 796] -> 
  {-((2 - 11*T + 22*T^2 - 27*T^3 + 22*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-41 + 224*T1 - 446*T1^2 + 547*T1^3 - 446*T1^4 + 224*T1^5 - 41*T1^6 + 
      224*T2 - 1050*T1*T2 + 1455*T1^2*T2 - 1035*T1^3*T2 + 43*T1^4*T2 + 
      729*T1^5*T2 - 764*T1^6*T2 + 180*T1^7*T2 - 446*T2^2 + 1455*T1*T2^2 + 
      343*T1^2*T2^2 - 3443*T1^3*T2^2 + 5551*T1^4*T2^2 - 4851*T1^5*T2^2 + 
      2103*T1^6*T2^2 + 487*T1^7*T2^2 - 270*T1^8*T2^2 + 547*T2^3 - 
      1035*T1*T2^3 - 3443*T1^2*T2^3 + 6432*T1^3*T2^3 - 5534*T1^4*T2^3 + 
      978*T1^5*T2^3 + 3144*T1^6*T2^3 - 3861*T1^7*T2^3 + 263*T1^8*T2^3 + 
      223*T1^9*T2^3 - 446*T2^4 + 43*T1*T2^4 + 5551*T1^2*T2^4 - 
      5534*T1^3*T2^4 + 1434*T1^4*T2^4 + 3616*T1^5*T2^4 - 4550*T1^6*T2^4 + 
      1594*T1^7*T2^4 + 2889*T1^8*T2^4 - 705*T1^9*T2^4 - 94*T1^10*T2^4 + 
      224*T2^5 + 729*T1*T2^5 - 4851*T1^2*T2^5 + 978*T1^3*T2^5 + 
      3616*T1^4*T2^5 - 5114*T1^5*T2^5 + 1464*T1^6*T2^5 + 2648*T1^7*T2^5 - 
      4302*T1^8*T2^5 - 473*T1^9*T2^5 + 487*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 764*T1*T2^6 + 2103*T1^2*T2^6 + 3144*T1^3*T2^6 - 
      4550*T1^4*T2^6 + 1464*T1^5*T2^6 + 3468*T1^6*T2^6 - 4608*T1^7*T2^6 + 
      2270*T1^8*T2^6 + 2496*T1^9*T2^6 - 757*T1^10*T2^6 - 60*T1^11*T2^6 + 
      7*T1^12*T2^6 + 180*T1*T2^7 + 487*T1^2*T2^7 - 3861*T1^3*T2^7 + 
      1594*T1^4*T2^7 + 2648*T1^5*T2^7 - 4608*T1^6*T2^7 + 1970*T1^7*T2^7 + 
      1680*T1^8*T2^7 - 3686*T1^9*T2^7 + 517*T1^10*T2^7 + 245*T1^11*T2^7 - 
      40*T1^12*T2^7 - 270*T1^2*T2^8 + 263*T1^3*T2^8 + 2889*T1^4*T2^8 - 
      4302*T1^5*T2^8 + 2270*T1^6*T2^8 + 1680*T1^7*T2^8 - 3714*T1^8*T2^8 + 
      2826*T1^9*T2^8 + 227*T1^10*T2^8 - 485*T1^11*T2^8 + 82*T1^12*T2^8 + 
      223*T1^3*T2^9 - 705*T1^4*T2^9 - 473*T1^5*T2^9 + 2496*T1^6*T2^9 - 
      3686*T1^7*T2^9 + 2826*T1^8*T2^9 - 792*T1^9*T2^9 - 891*T1^10*T2^9 + 
      593*T1^11*T2^9 - 101*T1^12*T2^9 - 94*T1^4*T2^10 + 487*T1^5*T2^10 - 
      757*T1^6*T2^10 + 517*T1^7*T2^10 + 227*T1^8*T2^10 - 891*T1^9*T2^10 + 
      1003*T1^10*T2^10 - 481*T1^11*T2^10 + 82*T1^12*T2^10 + 4*T1^5*T2^11 - 
      60*T1^6*T2^11 + 245*T1^7*T2^11 - 485*T1^8*T2^11 + 593*T1^9*T2^11 - 
      481*T1^10*T2^11 + 226*T1^11*T2^11 - 40*T1^12*T2^11 + 7*T1^6*T2^12 - 
      40*T1^7*T2^12 + 82*T1^8*T2^12 - 101*T1^9*T2^12 + 82*T1^10*T2^12 - 
      40*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 797] -> 
  {-((3 - 15*T + 23*T^2 - 15*T^3 + 3*T^4)/T^2), 
   -((-90 + 447*T1 - 682*T1^2 + 447*T1^3 - 90*T1^4 + 447*T2 - 1941*T1*T2 + 
      1858*T1^2*T2 + 148*T1^3*T2 - 1131*T1^4*T2 + 312*T1^5*T2 - 682*T2^2 + 
      1858*T1*T2^2 + 2562*T1^2*T2^2 - 7484*T1^3*T2^2 + 5322*T1^4*T2^2 - 
      212*T1^5*T2^2 - 268*T1^6*T2^2 + 447*T2^3 + 148*T1*T2^3 - 
      7484*T1^2*T2^3 + 9390*T1^3*T2^3 - 1290*T1^4*T2^3 - 4379*T1^5*T2^3 + 
      1138*T1^6*T2^3 + 42*T1^7*T2^3 - 90*T2^4 - 1131*T1*T2^4 + 
      5322*T1^2*T2^4 - 1290*T1^3*T2^4 - 7032*T1^4*T2^4 + 7170*T1^5*T2^4 - 
      600*T1^6*T2^4 - 321*T1^7*T2^4 + 18*T1^8*T2^4 + 312*T1*T2^5 - 
      212*T1^2*T2^5 - 4379*T1^3*T2^5 + 7170*T1^4*T2^5 - 3510*T1^5*T2^5 - 
      1274*T1^6*T2^5 + 778*T1^7*T2^5 - 93*T1^8*T2^5 - 268*T1^2*T2^6 + 
      1138*T1^3*T2^6 - 600*T1^4*T2^6 - 1274*T1^5*T2^6 + 2160*T1^6*T2^6 - 
      932*T1^7*T2^6 + 146*T1^8*T2^6 + 42*T1^3*T2^7 - 321*T1^4*T2^7 + 
      778*T1^5*T2^7 - 932*T1^6*T2^7 + 489*T1^7*T2^7 - 93*T1^8*T2^7 + 
      18*T1^4*T2^8 - 93*T1^5*T2^8 + 146*T1^6*T2^8 - 93*T1^7*T2^8 + 
      18*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 798] -> 
  {(1 - 7*T + 22*T^2 - 31*T^3 + 22*T^4 - 7*T^5 + T^6)/T^3, 
   (-2 + 14*T1 - 44*T1^2 + 62*T1^3 - 44*T1^4 + 14*T1^5 - 2*T1^6 + 14*T2 - 
     91*T1*T2 + 259*T1^2*T2 - 280*T1^3*T2 + 91*T1^4*T2 + 56*T1^5*T2 - 
     35*T1^6*T2 + 7*T1^7*T2 - 44*T2^2 + 259*T1*T2^2 - 632*T1^2*T2^2 + 
     290*T1^3*T2^2 + 548*T1^4*T2^2 - 766*T1^5*T2^2 + 292*T1^6*T2^2 - 
     49*T1^7*T2^2 + 62*T2^3 - 280*T1*T2^3 + 290*T1^2*T2^3 + 1549*T1^3*T2^3 - 
     3269*T1^4*T2^3 + 2196*T1^5*T2^3 + 59*T1^6*T2^3 - 524*T1^7*T2^3 + 
     217*T1^8*T2^3 - 31*T1^9*T2^3 - 44*T2^4 + 91*T1*T2^4 + 548*T1^2*T2^4 - 
     3269*T1^3*T2^4 + 3502*T1^4*T2^4 + 1392*T1^5*T2^4 - 5066*T1^6*T2^4 + 
     3117*T1^7*T2^4 - 554*T1^8*T2^4 - 91*T1^9*T2^4 + 44*T1^10*T2^4 + 
     14*T2^5 + 56*T1*T2^5 - 766*T1^2*T2^5 + 2196*T1^3*T2^5 + 1392*T1^4*T2^5 - 
     10543*T1^5*T2^5 + 12485*T1^6*T2^5 - 4372*T1^7*T2^5 - 1427*T1^8*T2^5 + 
     1016*T1^9*T2^5 - 161*T1^10*T2^5 - 21*T1^11*T2^5 - 2*T2^6 - 35*T1*T2^6 + 
     292*T1^2*T2^6 + 59*T1^3*T2^6 - 5066*T1^4*T2^6 + 12485*T1^5*T2^6 - 
     6816*T1^6*T2^6 - 6673*T1^7*T2^6 + 9318*T1^8*T2^6 - 2591*T1^9*T2^6 + 
     20*T1^10*T2^6 + 119*T1^11*T2^6 + 4*T1^12*T2^6 + 7*T1*T2^7 - 
     49*T1^2*T2^7 - 524*T1^3*T2^7 + 3117*T1^4*T2^7 - 4372*T1^5*T2^7 - 
     6673*T1^6*T2^7 + 16355*T1^7*T2^7 - 10136*T1^8*T2^7 - 506*T1^9*T2^7 + 
     1258*T1^10*T2^7 - 266*T1^11*T2^7 - 28*T1^12*T2^7 + 217*T1^3*T2^8 - 
     554*T1^4*T2^8 - 1427*T1^5*T2^8 + 9318*T1^6*T2^8 - 10136*T1^7*T2^8 + 
     750*T1^8*T2^8 + 4959*T1^9*T2^8 - 1656*T1^10*T2^8 + 35*T1^11*T2^8 + 
     88*T1^12*T2^8 - 31*T1^3*T2^9 - 91*T1^4*T2^9 + 1016*T1^5*T2^9 - 
     2591*T1^6*T2^9 - 506*T1^7*T2^9 + 4959*T1^8*T2^9 - 4081*T1^9*T2^9 + 
     202*T1^10*T2^9 + 406*T1^11*T2^9 - 124*T1^12*T2^9 + 44*T1^4*T2^10 - 
     161*T1^5*T2^10 + 20*T1^6*T2^10 + 1258*T1^7*T2^10 - 1656*T1^8*T2^10 + 
     202*T1^9*T2^10 + 944*T1^10*T2^10 - 469*T1^11*T2^10 + 88*T1^12*T2^10 - 
     21*T1^5*T2^11 + 119*T1^6*T2^11 - 266*T1^7*T2^11 + 35*T1^8*T2^11 + 
     406*T1^9*T2^11 - 469*T1^10*T2^11 + 175*T1^11*T2^11 - 28*T1^12*T2^11 + 
     4*T1^6*T2^12 - 28*T1^7*T2^12 + 88*T1^8*T2^12 - 124*T1^9*T2^12 + 
     88*T1^10*T2^12 - 28*T1^11*T2^12 + 4*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 799] -> 
  {((-2 + T)*(-1 + 2*T)*(1 - 3*T + T^2)*(1 - T + T^2))/T^3, 
   (-33 + 214*T1 - 526*T1^2 + 673*T1^3 - 526*T1^4 + 214*T1^5 - 33*T1^6 + 
     214*T2 - 1226*T1*T2 + 2359*T1^2*T2 - 1781*T1^3*T2 + 117*T1^4*T2 + 
     1189*T1^5*T2 - 836*T1^6*T2 + 162*T1^7*T2 - 526*T2^2 + 2359*T1*T2^2 - 
     1819*T1^2*T2^2 - 4297*T1^3*T2^2 + 8729*T1^4*T2^2 - 7881*T1^5*T2^2 + 
     2021*T1^6*T2^2 + 695*T1^7*T2^2 - 270*T1^8*T2^2 + 673*T2^3 - 
     1781*T1*T2^3 - 4297*T1^2*T2^3 + 16268*T1^3*T2^3 - 15159*T1^4*T2^3 + 
     4139*T1^5*T2^3 + 8126*T1^6*T2^3 - 5929*T1^7*T2^3 + 585*T1^8*T2^3 + 
     181*T1^9*T2^3 - 526*T2^4 + 117*T1*T2^4 + 8729*T1^2*T2^4 - 
     15159*T1^3*T2^4 - 2093*T1^4*T2^4 + 19835*T1^5*T2^4 - 24261*T1^6*T2^4 + 
     6325*T1^7*T2^4 + 3063*T1^8*T2^4 - 1079*T1^9*T2^4 - 14*T1^10*T2^4 + 
     214*T2^5 + 1189*T1*T2^5 - 7881*T1^2*T2^5 + 4139*T1^3*T2^5 + 
     19835*T1^4*T2^5 - 27168*T1^5*T2^5 + 14398*T1^6*T2^5 + 10299*T1^7*T2^5 - 
     10787*T1^8*T2^5 + 1559*T1^9*T2^5 + 383*T1^10*T2^5 - 46*T1^11*T2^5 - 
     33*T2^6 - 836*T1*T2^6 + 2021*T1^2*T2^6 + 8126*T1^3*T2^6 - 
     24261*T1^4*T2^6 + 14398*T1^5*T2^6 + 7836*T1^6*T2^6 - 22978*T1^7*T2^6 + 
     10231*T1^8*T2^6 + 2150*T1^9*T2^6 - 1903*T1^10*T2^6 + 204*T1^11*T2^6 + 
     15*T1^12*T2^6 + 162*T1*T2^7 + 695*T1^2*T2^7 - 5929*T1^3*T2^7 + 
     6325*T1^4*T2^7 + 10299*T1^5*T2^7 - 22978*T1^6*T2^7 + 18588*T1^7*T2^7 + 
     763*T1^8*T2^7 - 8601*T1^9*T2^7 + 3511*T1^10*T2^7 - 111*T1^11*T2^7 - 
     98*T1^12*T2^7 - 270*T1^2*T2^8 + 585*T1^3*T2^8 + 3063*T1^4*T2^8 - 
     10787*T1^5*T2^8 + 10231*T1^6*T2^8 + 763*T1^7*T2^8 - 11937*T1^8*T2^8 + 
     10697*T1^9*T2^8 - 2603*T1^10*T2^8 - 611*T1^11*T2^8 + 242*T1^12*T2^8 + 
     181*T1^3*T2^9 - 1079*T1^4*T2^9 + 1559*T1^5*T2^9 + 2150*T1^6*T2^9 - 
     8601*T1^7*T2^9 + 10697*T1^8*T2^9 - 5992*T1^9*T2^9 - 73*T1^10*T2^9 + 
     1287*T1^11*T2^9 - 311*T1^12*T2^9 - 14*T1^4*T2^10 + 383*T1^5*T2^10 - 
     1903*T1^6*T2^10 + 3511*T1^7*T2^10 - 2603*T1^8*T2^10 - 73*T1^9*T2^10 + 
     1937*T1^10*T2^10 - 1281*T1^11*T2^10 + 242*T1^12*T2^10 - 46*T1^5*T2^11 + 
     204*T1^6*T2^11 - 111*T1^7*T2^11 - 611*T1^8*T2^11 + 1287*T1^9*T2^11 - 
     1281*T1^10*T2^11 + 594*T1^11*T2^11 - 98*T1^12*T2^11 + 15*T1^6*T2^12 - 
     98*T1^7*T2^12 + 242*T1^8*T2^12 - 311*T1^9*T2^12 + 242*T1^10*T2^12 - 
     98*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 800] -> 
  {-((1 - 5*T + 13*T^2 - 24*T^3 + 29*T^4 - 24*T^5 + 13*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 39*T1^2 + 72*T1^3 - 87*T1^4 + 72*T1^5 - 39*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 145*T1^2*T2 - 230*T1^3*T2 + 
      195*T1^4*T2 - 70*T1^5*T2 - 45*T1^6*T2 + 55*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 39*T2^2 + 145*T1*T2^2 - 273*T1^2*T2^2 + 364*T1^3*T2^2 - 
      129*T1^4*T2^2 - 163*T1^5*T2^2 + 287*T1^6*T2^2 - 130*T1^7*T2^2 + 
      39*T1^8*T2^2 + 15*T1^9*T2^2 - 13*T1^10*T2^2 + 72*T2^3 - 230*T1*T2^3 + 
      364*T1^2*T2^3 - 409*T1^3*T2^3 - 111*T1^4*T2^3 + 433*T1^5*T2^3 - 
      348*T1^6*T2^3 - 154*T1^7*T2^3 + 221*T1^8*T2^3 - 182*T1^9*T2^3 + 
      65*T1^10*T2^3 - 87*T2^4 + 195*T1*T2^4 - 129*T1^2*T2^4 - 111*T1^3*T2^4 + 
      1020*T1^4*T2^4 - 1060*T1^5*T2^4 + 374*T1^6*T2^4 + 576*T1^7*T2^4 - 
      292*T1^8*T2^4 - 15*T1^9*T2^4 + 179*T1^10*T2^4 - 145*T1^11*T2^4 + 
      29*T1^12*T2^4 + 72*T2^5 - 70*T1*T2^5 - 163*T1^2*T2^5 + 433*T1^3*T2^5 - 
      1060*T1^4*T2^5 + 115*T1^5*T2^5 + 1133*T1^6*T2^5 - 1468*T1^7*T2^5 - 
      131*T1^8*T2^5 + 719*T1^9*T2^5 - 470*T1^10*T2^5 + 140*T1^11*T2^5 + 
      95*T1^12*T2^5 - 48*T1^13*T2^5 - 39*T2^6 - 45*T1*T2^6 + 287*T1^2*T2^6 - 
      348*T1^3*T2^6 + 374*T1^4*T2^6 + 1133*T1^5*T2^6 - 1774*T1^6*T2^6 + 
      268*T1^7*T2^6 + 2106*T1^8*T2^6 - 1625*T1^9*T2^6 + 164*T1^10*T2^6 + 
      250*T1^11*T2^6 - 345*T1^12*T2^6 + 45*T1^13*T2^6 + 39*T1^14*T2^6 + 
      15*T2^7 + 55*T1*T2^7 - 130*T1^2*T2^7 - 154*T1^3*T2^7 + 576*T1^4*T2^7 - 
      1468*T1^5*T2^7 + 268*T1^6*T2^7 + 3276*T1^7*T2^7 - 4620*T1^8*T2^7 + 
      1866*T1^9*T2^7 + 819*T1^10*T2^7 - 631*T1^11*T2^7 + 445*T1^12*T2^7 + 
      104*T1^13*T2^7 - 95*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      39*T1^2*T2^8 + 221*T1^3*T2^8 - 292*T1^4*T2^8 - 131*T1^5*T2^8 + 
      2106*T1^6*T2^8 - 4620*T1^7*T2^8 + 1956*T1^8*T2^8 + 2728*T1^9*T2^8 - 
      4350*T1^10*T2^8 + 1627*T1^11*T2^8 - 632*T1^12*T2^8 - 249*T1^13*T2^8 + 
      69*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      15*T1^2*T2^9 - 182*T1^3*T2^9 - 15*T1^4*T2^9 + 719*T1^5*T2^9 - 
      1625*T1^6*T2^9 + 1866*T1^7*T2^9 + 2728*T1^8*T2^9 - 5168*T1^9*T2^9 + 
      3464*T1^10*T2^9 + 662*T1^11*T2^9 - 488*T1^12*T2^9 + 584*T1^13*T2^9 + 
      52*T1^14*T2^9 - 135*T1^15*T2^9 - 25*T1^16*T2^9 - 13*T1^2*T2^10 + 
      65*T1^3*T2^10 + 179*T1^4*T2^10 - 470*T1^5*T2^10 + 164*T1^6*T2^10 + 
      819*T1^7*T2^10 - 4350*T1^8*T2^10 + 3464*T1^9*T2^10 - 470*T1^10*T2^10 - 
      1939*T1^11*T2^10 - 46*T1^12*T2^10 + 128*T1^13*T2^10 - 453*T1^14*T2^10 + 
      155*T1^15*T2^10 + 65*T1^16*T2^10 - 145*T1^4*T2^11 + 140*T1^5*T2^11 + 
      250*T1^6*T2^11 - 631*T1^7*T2^11 + 1627*T1^8*T2^11 + 662*T1^9*T2^11 - 
      1939*T1^10*T2^11 + 1381*T1^11*T2^11 + 1148*T1^12*T2^11 - 
      653*T1^13*T2^11 + 443*T1^14*T2^11 + 20*T1^15*T2^11 - 120*T1^16*T2^11 + 
      29*T1^4*T2^12 + 95*T1^5*T2^12 - 345*T1^6*T2^12 + 445*T1^7*T2^12 - 
      632*T1^8*T2^12 - 488*T1^9*T2^12 - 46*T1^10*T2^12 + 1148*T1^11*T2^12 - 
      1944*T1^12*T2^12 + 541*T1^13*T2^12 - 37*T1^14*T2^12 - 245*T1^15*T2^12 + 
      145*T1^16*T2^12 - 48*T1^5*T2^13 + 45*T1^6*T2^13 + 104*T1^7*T2^13 - 
      249*T1^8*T2^13 + 584*T1^9*T2^13 + 128*T1^10*T2^13 - 653*T1^11*T2^13 + 
      541*T1^12*T2^13 + 381*T1^13*T2^13 - 442*T1^14*T2^13 + 340*T1^15*T2^13 - 
      120*T1^16*T2^13 + 39*T1^6*T2^14 - 95*T1^7*T2^14 + 69*T1^8*T2^14 + 
      52*T1^9*T2^14 - 453*T1^10*T2^14 + 443*T1^11*T2^14 - 37*T1^12*T2^14 - 
      442*T1^13*T2^14 + 381*T1^14*T2^14 - 225*T1^15*T2^14 + 65*T1^16*T2^14 - 
      20*T1^7*T2^15 + 75*T1^8*T2^15 - 135*T1^9*T2^15 + 155*T1^10*T2^15 + 
      20*T1^11*T2^15 - 245*T1^12*T2^15 + 340*T1^13*T2^15 - 225*T1^14*T2^15 + 
      105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 25*T1^9*T2^16 + 
      65*T1^10*T2^16 - 120*T1^11*T2^16 + 145*T1^12*T2^16 - 120*T1^13*T2^16 + 
      65*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 801] -> 
  {-((1 - 5*T + 7*T^2 - 5*T^3 + T^4)/T^2), 
   -((-1 + 7*T1 - 11*T1^2 + 7*T1^3 - T1^4 + 7*T2 - 49*T1*T2 + 44*T1^2*T2 - 
      16*T1^3*T2 - 19*T1^4*T2 + 2*T1^5*T2 - 11*T2^2 + 44*T1*T2^2 + 
      133*T1^2*T2^2 - 229*T1^3*T2^2 + 217*T1^4*T2^2 - 26*T1^5*T2^2 + 
      3*T1^6*T2^2 + 7*T2^3 - 16*T1*T2^3 - 229*T1^2*T2^3 + 212*T1^3*T2^3 - 
      118*T1^4*T2^3 - 124*T1^5*T2^3 + 24*T1^6*T2^3 - 8*T1^7*T2^3 - T2^4 - 
      19*T1*T2^4 + 217*T1^2*T2^4 - 118*T1^3*T2^4 + 24*T1^4*T2^4 + 
      162*T1^5*T2^4 - 5*T1^6*T2^4 + 11*T1^7*T2^4 + 3*T1^8*T2^4 + 2*T1*T2^5 - 
      26*T1^2*T2^5 - 124*T1^3*T2^5 + 162*T1^4*T2^5 - 168*T1^5*T2^5 - 
      19*T1^6*T2^5 + 14*T1^7*T2^5 - 13*T1^8*T2^5 + 3*T1^2*T2^6 + 
      24*T1^3*T2^6 - 5*T1^4*T2^6 - 19*T1^5*T2^6 + 79*T1^6*T2^6 - 
      46*T1^7*T2^6 + 17*T1^8*T2^6 - 8*T1^3*T2^7 + 11*T1^4*T2^7 + 
      14*T1^5*T2^7 - 46*T1^6*T2^7 + 41*T1^7*T2^7 - 13*T1^8*T2^7 + 
      3*T1^4*T2^8 - 13*T1^5*T2^8 + 17*T1^6*T2^8 - 13*T1^7*T2^8 + 3*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 802] -> 
  {((1 - 2*T + 4*T^2 - 3*T^3 + T^4)*(1 - 3*T + 4*T^2 - 2*T^3 + T^4))/T^4, 
   (-4 + 20*T1 - 56*T1^2 + 100*T1^3 - 124*T1^4 + 100*T1^5 - 56*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 205*T1^2*T2 - 290*T1^3*T2 + 
     245*T1^4*T2 - 35*T1^5*T2 - 95*T1^6*T2 + 110*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 56*T2^2 + 205*T1*T2^2 - 439*T1^2*T2^2 + 497*T1^3*T2^2 - 
     263*T1^4*T2^2 - 215*T1^5*T2^2 + 213*T1^6*T2^2 - 63*T1^7*T2^2 - 
     75*T1^8*T2^2 + 65*T1^9*T2^2 - 28*T1^10*T2^2 + 100*T2^3 - 290*T1*T2^3 + 
     497*T1^2*T2^3 - 251*T1^3*T2^3 - 308*T1^4*T2^3 + 862*T1^5*T2^3 - 
     133*T1^6*T2^3 - 278*T1^7*T2^3 + 369*T1^8*T2^3 - 133*T1^9*T2^3 + 
     15*T1^10*T2^3 + 25*T1^11*T2^3 - 124*T2^4 + 245*T1*T2^4 - 263*T1^2*T2^4 - 
     308*T1^3*T2^4 + 705*T1^4*T2^4 - 515*T1^5*T2^4 - 1369*T1^6*T2^4 + 
     1255*T1^7*T2^4 - 575*T1^8*T2^4 - 158*T1^9*T2^4 + 223*T1^10*T2^4 - 
     125*T1^11*T2^4 + 100*T2^5 - 35*T1*T2^5 - 215*T1^2*T2^5 + 862*T1^3*T2^5 - 
     515*T1^4*T2^5 - 742*T1^5*T2^5 + 2890*T1^6*T2^5 - 950*T1^7*T2^5 - 
     582*T1^8*T2^5 + 1050*T1^9*T2^5 - 423*T1^10*T2^5 + 10*T1^11*T2^5 + 
     125*T1^12*T2^5 - 25*T1^13*T2^5 - 56*T2^6 - 95*T1*T2^6 + 213*T1^2*T2^6 - 
     133*T1^3*T2^6 - 1369*T1^4*T2^6 + 2890*T1^5*T2^6 - 3150*T1^6*T2^6 - 
     1302*T1^7*T2^6 + 2698*T1^8*T2^6 - 1570*T1^9*T2^6 + 19*T1^10*T2^6 + 
     427*T1^11*T2^6 - 243*T1^12*T2^6 - 15*T1^13*T2^6 + 28*T1^14*T2^6 + 
     20*T2^7 + 110*T1*T2^7 - 63*T1^2*T2^7 - 278*T1^3*T2^7 + 1255*T1^4*T2^7 - 
     950*T1^5*T2^7 - 1302*T1^6*T2^7 + 5302*T1^7*T2^7 - 3588*T1^8*T2^7 - 
     267*T1^9*T2^7 + 1650*T1^10*T2^7 - 1130*T1^11*T2^7 + 172*T1^12*T2^7 + 
     147*T1^13*T2^7 - 65*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     75*T1^2*T2^8 + 369*T1^3*T2^8 - 575*T1^4*T2^8 - 582*T1^5*T2^8 + 
     2698*T1^6*T2^8 - 3588*T1^7*T2^8 - 312*T1^8*T2^8 + 3892*T1^9*T2^8 - 
     2420*T1^10*T2^8 + 518*T1^11*T2^8 + 649*T1^12*T2^8 - 401*T1^13*T2^8 + 
     71*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     65*T1^2*T2^9 - 133*T1^3*T2^9 - 158*T1^4*T2^9 + 1050*T1^5*T2^9 - 
     1570*T1^6*T2^9 - 267*T1^7*T2^9 + 3892*T1^8*T2^9 - 4998*T1^9*T2^9 + 
     768*T1^10*T2^9 + 1030*T1^11*T2^9 - 1335*T1^12*T2^9 + 292*T1^13*T2^9 + 
     77*T1^14*T2^9 - 110*T1^15*T2^9 - 20*T1^16*T2^9 - 28*T1^2*T2^10 + 
     15*T1^3*T2^10 + 223*T1^4*T2^10 - 423*T1^5*T2^10 + 19*T1^6*T2^10 + 
     1650*T1^7*T2^10 - 2420*T1^8*T2^10 + 768*T1^9*T2^10 + 3428*T1^10*T2^10 - 
     2810*T1^11*T2^10 + 1407*T1^12*T2^10 + 137*T1^13*T2^10 - 
     233*T1^14*T2^10 + 95*T1^15*T2^10 + 56*T1^16*T2^10 + 25*T1^3*T2^11 - 
     125*T1^4*T2^11 + 10*T1^5*T2^11 + 427*T1^6*T2^11 - 1130*T1^7*T2^11 + 
     518*T1^8*T2^11 + 1030*T1^9*T2^11 - 2810*T1^10*T2^11 + 678*T1^11*T2^11 + 
     435*T1^12*T2^11 - 858*T1^13*T2^11 + 235*T1^14*T2^11 + 35*T1^15*T2^11 - 
     100*T1^16*T2^11 + 125*T1^5*T2^12 - 243*T1^6*T2^12 + 172*T1^7*T2^12 + 
     649*T1^8*T2^12 - 1335*T1^9*T2^12 + 1407*T1^10*T2^12 + 435*T1^11*T2^12 - 
     631*T1^12*T2^12 + 322*T1^13*T2^12 + 243*T1^14*T2^12 - 245*T1^15*T2^12 + 
     124*T1^16*T2^12 - 25*T1^5*T2^13 - 15*T1^6*T2^13 + 147*T1^7*T2^13 - 
     401*T1^8*T2^13 + 292*T1^9*T2^13 + 137*T1^10*T2^13 - 858*T1^11*T2^13 + 
     322*T1^12*T2^13 + 219*T1^13*T2^13 - 483*T1^14*T2^13 + 290*T1^15*T2^13 - 
     100*T1^16*T2^13 + 28*T1^6*T2^14 - 65*T1^7*T2^14 + 71*T1^8*T2^14 + 
     77*T1^9*T2^14 - 233*T1^10*T2^14 + 235*T1^11*T2^14 + 243*T1^12*T2^14 - 
     483*T1^13*T2^14 + 435*T1^14*T2^14 - 205*T1^15*T2^14 + 56*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 110*T1^9*T2^15 + 95*T1^10*T2^15 + 
     35*T1^11*T2^15 - 245*T1^12*T2^15 + 290*T1^13*T2^15 - 205*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     56*T1^10*T2^16 - 100*T1^11*T2^16 + 124*T1^12*T2^16 - 100*T1^13*T2^16 + 
     56*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 803] -> 
  {(1 - 5*T + 14*T^2 - 21*T^3 + 23*T^4 - 21*T^5 + 14*T^6 - 5*T^7 + T^8)/T^4, 
   (-6 + 30*T1 - 84*T1^2 + 126*T1^3 - 138*T1^4 + 126*T1^5 - 84*T1^6 + 
     30*T1^7 - 6*T1^8 + 30*T2 - 125*T1*T2 + 295*T1^2*T2 - 280*T1^3*T2 + 
     165*T1^4*T2 - 55*T1^5*T2 - 105*T1^6*T2 + 200*T1^7*T2 - 95*T1^8*T2 + 
     25*T1^9*T2 - 84*T2^2 + 295*T1*T2^2 - 601*T1^2*T2^2 + 272*T1^3*T2^2 - 
     41*T1^4*T2^2 + T1^5*T2^2 + 211*T1^6*T2^2 - 176*T1^7*T2^2 - 
     237*T1^8*T2^2 + 155*T1^9*T2^2 - 56*T1^10*T2^2 + 126*T2^3 - 280*T1*T2^3 + 
     272*T1^2*T2^3 + 961*T1^3*T2^3 - 930*T1^4*T2^3 + 449*T1^5*T2^3 - 
     426*T1^6*T2^3 - 244*T1^7*T2^3 + 1017*T1^8*T2^3 - 190*T1^9*T2^3 - 
     35*T1^10*T2^3 + 63*T1^11*T2^3 - 138*T2^4 + 165*T1*T2^4 - 41*T1^2*T2^4 - 
     930*T1^3*T2^4 - 1377*T1^4*T2^4 + 2942*T1^5*T2^4 - 2857*T1^6*T2^4 + 
     3360*T1^7*T2^4 - 2713*T1^8*T2^4 - 132*T1^9*T2^4 + 197*T1^10*T2^4 - 
     85*T1^11*T2^4 - 46*T1^12*T2^4 + 126*T2^5 - 55*T1*T2^5 + T1^2*T2^5 + 
     449*T1^3*T2^5 + 2942*T1^4*T2^5 - 3026*T1^5*T2^5 + 1436*T1^6*T2^5 - 
     1420*T1^7*T2^5 - 86*T1^8*T2^5 + 2531*T1^9*T2^5 - 412*T1^10*T2^5 - 
     38*T1^11*T2^5 + 125*T1^12*T2^5 + 21*T1^13*T2^5 - 84*T2^6 - 105*T1*T2^6 + 
     211*T1^2*T2^6 - 426*T1^3*T2^6 - 2857*T1^4*T2^6 + 1436*T1^5*T2^6 + 
     88*T1^6*T2^6 + 796*T1^7*T2^6 + 256*T1^8*T2^6 - 1392*T1^9*T2^6 - 
     1373*T1^10*T2^6 + 470*T1^11*T2^6 - 69*T1^12*T2^6 - 105*T1^13*T2^6 + 
     30*T2^7 + 200*T1*T2^7 - 176*T1^2*T2^7 - 244*T1^3*T2^7 + 3360*T1^4*T2^7 - 
     1420*T1^5*T2^7 + 796*T1^6*T2^7 - 2288*T1^7*T2^7 + 890*T1^8*T2^7 + 
     215*T1^9*T2^7 + 1492*T1^10*T2^7 + 455*T1^11*T2^7 - 482*T1^12*T2^7 + 
     202*T1^13*T2^7 + 25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 
     237*T1^2*T2^8 + 1017*T1^3*T2^8 - 2713*T1^4*T2^8 - 86*T1^5*T2^8 + 
     256*T1^6*T2^8 + 890*T1^7*T2^8 + 1176*T1^8*T2^8 - 1806*T1^9*T2^8 + 
     354*T1^10*T2^8 - 1802*T1^11*T2^8 + 887*T1^12*T2^8 - 89*T1^13*T2^8 - 
     91*T1^14*T2^8 + 15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 
     155*T1^2*T2^9 - 190*T1^3*T2^9 - 132*T1^4*T2^9 + 2531*T1^5*T2^9 - 
     1392*T1^6*T2^9 + 215*T1^7*T2^9 - 1806*T1^8*T2^9 + 1372*T1^9*T2^9 - 
     366*T1^10*T2^9 + 1520*T1^11*T2^9 - 374*T1^12*T2^9 - 370*T1^13*T2^9 + 
     188*T1^14*T2^9 - 20*T1^15*T2^9 - 10*T1^16*T2^9 - 56*T1^2*T2^10 - 
     35*T1^3*T2^10 + 197*T1^4*T2^10 - 412*T1^5*T2^10 - 1373*T1^6*T2^10 + 
     1492*T1^7*T2^10 + 354*T1^8*T2^10 - 366*T1^9*T2^10 + 522*T1^10*T2^10 - 
     1336*T1^11*T2^10 + 111*T1^12*T2^10 + 484*T1^13*T2^10 - 83*T1^14*T2^10 - 
     35*T1^15*T2^10 + 28*T1^16*T2^10 + 63*T1^3*T2^11 - 85*T1^4*T2^11 - 
     38*T1^5*T2^11 + 470*T1^6*T2^11 + 455*T1^7*T2^11 - 1802*T1^8*T2^11 + 
     1520*T1^9*T2^11 - 1336*T1^10*T2^11 + 1138*T1^11*T2^11 + 44*T1^12*T2^11 - 
     391*T1^13*T2^11 - 77*T1^14*T2^11 + 95*T1^15*T2^11 - 42*T1^16*T2^11 - 
     46*T1^4*T2^12 + 125*T1^5*T2^12 - 69*T1^6*T2^12 - 482*T1^7*T2^12 + 
     887*T1^8*T2^12 - 374*T1^9*T2^12 + 111*T1^10*T2^12 + 44*T1^11*T2^12 - 
     449*T1^12*T2^12 + 316*T1^13*T2^12 + 169*T1^14*T2^12 - 125*T1^15*T2^12 + 
     46*T1^16*T2^12 + 21*T1^5*T2^13 - 105*T1^6*T2^13 + 202*T1^7*T2^13 - 
     89*T1^8*T2^13 - 370*T1^9*T2^13 + 484*T1^10*T2^13 - 391*T1^11*T2^13 + 
     316*T1^12*T2^13 - 33*T1^13*T2^13 - 260*T1^14*T2^13 + 140*T1^15*T2^13 - 
     42*T1^16*T2^13 + 25*T1^7*T2^14 - 91*T1^8*T2^14 + 188*T1^9*T2^14 - 
     83*T1^10*T2^14 - 77*T1^11*T2^14 + 169*T1^12*T2^14 - 260*T1^13*T2^14 + 
     273*T1^14*T2^14 - 115*T1^15*T2^14 + 28*T1^16*T2^14 - 5*T1^7*T2^15 + 
     15*T1^8*T2^15 - 20*T1^9*T2^15 - 35*T1^10*T2^15 + 95*T1^11*T2^15 - 
     125*T1^12*T2^15 + 140*T1^13*T2^15 - 115*T1^14*T2^15 + 45*T1^15*T2^15 - 
     10*T1^16*T2^15 + 2*T1^8*T2^16 - 10*T1^9*T2^16 + 28*T1^10*T2^16 - 
     42*T1^11*T2^16 + 46*T1^12*T2^16 - 42*T1^13*T2^16 + 28*T1^14*T2^16 - 
     10*T1^15*T2^16 + 2*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 804] -> 
  {-((1 - 4*T + 11*T^2 - 20*T^3 + 23*T^4 - 20*T^5 + 11*T^6 - 4*T^7 + T^8)/
     T^4), -((-5 + 20*T1 - 55*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 
      55*T1^6 + 20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 156*T1^2*T2 - 
      224*T1^3*T2 + 140*T1^4*T2 - 32*T1^5*T2 - 100*T1^6*T2 + 96*T1^7*T2 - 
      44*T1^8*T2 + 16*T1^9*T2 - 55*T2^2 + 156*T1*T2^2 - 379*T1^2*T2^2 + 
      518*T1^3*T2^2 - 326*T1^4*T2^2 + 257*T1^5*T2^2 - 62*T1^6*T2^2 + 
      166*T1^7*T2^2 - 159*T1^8*T2^2 + 68*T1^9*T2^2 - 33*T1^10*T2^2 + 
      100*T2^3 - 224*T1*T2^3 + 518*T1^2*T2^3 - 528*T1^3*T2^3 + 30*T1^4*T2^3 - 
      120*T1^5*T2^3 - 152*T1^6*T2^3 - 226*T1^7*T2^3 + 72*T1^8*T2^3 + 
      78*T1^9*T2^3 - 28*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 140*T1*T2^4 - 
      326*T1^2*T2^4 + 30*T1^3*T2^4 + 443*T1^4*T2^4 + 500*T1^5*T2^4 - 
      329*T1^6*T2^4 + 948*T1^7*T2^4 - 93*T1^8*T2^4 - 210*T1^9*T2^4 + 
      46*T1^10*T2^4 - 68*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 32*T1*T2^5 + 
      257*T1^2*T2^5 - 120*T1^3*T2^5 + 500*T1^4*T2^5 - 2296*T1^5*T2^5 + 
      1254*T1^6*T2^5 - 1150*T1^7*T2^5 - 828*T1^8*T2^5 + 696*T1^9*T2^5 - 
      56*T1^10*T2^5 + 41*T1^11*T2^5 + 92*T1^12*T2^5 - 55*T2^6 - 100*T1*T2^6 - 
      62*T1^2*T2^6 - 152*T1^3*T2^6 - 329*T1^4*T2^6 + 1254*T1^5*T2^6 + 
      1482*T1^6*T2^6 - 1824*T1^7*T2^6 + 3094*T1^8*T2^6 - 1122*T1^9*T2^6 - 
      151*T1^10*T2^6 + 24*T1^11*T2^6 - 110*T1^12*T2^6 - 44*T1^13*T2^6 + 
      11*T1^14*T2^6 + 20*T2^7 + 96*T1*T2^7 + 166*T1^2*T2^7 - 226*T1^3*T2^7 + 
      948*T1^4*T2^7 - 1150*T1^5*T2^7 - 1824*T1^6*T2^7 + 1276*T1^7*T2^7 - 
      1204*T1^8*T2^7 - 1072*T1^9*T2^7 + 1310*T1^10*T2^7 - 256*T1^11*T2^7 + 
      94*T1^12*T2^7 + 78*T1^13*T2^7 - 12*T1^14*T2^7 - 8*T1^15*T2^7 - 5*T2^8 - 
      44*T1*T2^8 - 159*T1^2*T2^8 + 72*T1^3*T2^8 - 93*T1^4*T2^8 - 
      828*T1^5*T2^8 + 3094*T1^6*T2^8 - 1204*T1^7*T2^8 - 132*T1^8*T2^8 + 
      1580*T1^9*T2^8 - 890*T1^10*T2^8 - 460*T1^11*T2^8 + 295*T1^12*T2^8 - 
      168*T1^13*T2^8 + 29*T1^14*T2^8 + 20*T1^15*T2^8 + 3*T1^16*T2^8 + 
      16*T1*T2^9 + 68*T1^2*T2^9 + 78*T1^3*T2^9 - 210*T1^4*T2^9 + 
      696*T1^5*T2^9 - 1122*T1^6*T2^9 - 1072*T1^7*T2^9 + 1580*T1^8*T2^9 - 
      900*T1^9*T2^9 - 320*T1^10*T2^9 + 1338*T1^11*T2^9 - 508*T1^12*T2^9 + 
      110*T1^13*T2^9 - 10*T1^14*T2^9 - 40*T1^15*T2^9 - 12*T1^16*T2^9 - 
      33*T1^2*T2^10 - 28*T1^3*T2^10 + 46*T1^4*T2^10 - 56*T1^5*T2^10 - 
      151*T1^6*T2^10 + 1310*T1^7*T2^10 - 890*T1^8*T2^10 - 320*T1^9*T2^10 + 
      722*T1^10*T2^10 - 1066*T1^11*T2^10 + 27*T1^12*T2^10 + 120*T1^13*T2^10 - 
      2*T1^14*T2^10 + 28*T1^15*T2^10 + 33*T1^16*T2^10 + 40*T1^3*T2^11 - 
      68*T1^4*T2^11 + 41*T1^5*T2^11 + 24*T1^6*T2^11 - 256*T1^7*T2^11 - 
      460*T1^8*T2^11 + 1338*T1^9*T2^11 - 1066*T1^10*T2^11 + 
      1008*T1^11*T2^11 - 60*T1^12*T2^11 + 88*T1^13*T2^11 - 175*T1^14*T2^11 + 
      56*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 92*T1^5*T2^12 - 
      110*T1^6*T2^12 + 94*T1^7*T2^12 + 295*T1^8*T2^12 - 508*T1^9*T2^12 + 
      27*T1^10*T2^12 - 60*T1^11*T2^12 - 241*T1^12*T2^12 - 146*T1^13*T2^12 + 
      262*T1^14*T2^12 - 116*T1^15*T2^12 + 69*T1^16*T2^12 - 44*T1^6*T2^13 + 
      78*T1^7*T2^13 - 168*T1^8*T2^13 + 110*T1^9*T2^13 + 120*T1^10*T2^13 + 
      88*T1^11*T2^13 - 146*T1^12*T2^13 + 432*T1^13*T2^13 - 362*T1^14*T2^13 + 
      152*T1^15*T2^13 - 60*T1^16*T2^13 + 11*T1^6*T2^14 - 12*T1^7*T2^14 + 
      29*T1^8*T2^14 - 10*T1^9*T2^14 - 2*T1^10*T2^14 - 175*T1^11*T2^14 + 
      262*T1^12*T2^14 - 362*T1^13*T2^14 + 249*T1^14*T2^14 - 100*T1^15*T2^14 + 
      33*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 40*T1^9*T2^15 + 
      28*T1^10*T2^15 + 56*T1^11*T2^15 - 116*T1^12*T2^15 + 152*T1^13*T2^15 - 
      100*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 33*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 33*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 805] -> 
  {-((2 - 8*T + 19*T^2 - 27*T^3 + 19*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-25 + 100*T1 - 238*T1^2 + 339*T1^3 - 238*T1^4 + 100*T1^5 - 25*T1^6 + 
      100*T2 - 332*T1*T2 + 680*T1^2*T2 - 708*T1^3*T2 + 28*T1^4*T2 + 
      248*T1^5*T2 - 172*T1^6*T2 + 68*T1^7*T2 - 238*T2^2 + 680*T1*T2^2 - 
      1262*T1^2*T2^2 + 986*T1^3*T2^2 + 594*T1^4*T2^2 - 458*T1^5*T2^2 + 
      30*T1^6*T2^2 + 72*T1^7*T2^2 - 86*T1^8*T2^2 + 339*T2^3 - 708*T1*T2^3 + 
      986*T1^2*T2^3 + 172*T1^3*T2^3 - 2324*T1^4*T2^3 + 294*T1^5*T2^3 + 
      766*T1^6*T2^3 - 572*T1^7*T2^3 + 284*T1^8*T2^3 + 15*T1^9*T2^3 - 
      238*T2^4 + 28*T1*T2^4 + 594*T1^2*T2^4 - 2324*T1^3*T2^4 + 
      2796*T1^4*T2^4 + 2472*T1^5*T2^4 - 2828*T1^6*T2^4 + 916*T1^7*T2^4 + 
      26*T1^8*T2^4 - 324*T1^9*T2^4 + 66*T1^10*T2^4 + 100*T2^5 + 248*T1*T2^5 - 
      458*T1^2*T2^5 + 294*T1^3*T2^5 + 2472*T1^4*T2^5 - 7885*T1^5*T2^5 + 
      4201*T1^6*T2^5 + 325*T1^7*T2^5 - 1080*T1^8*T2^5 + 644*T1^9*T2^5 - 
      24*T1^10*T2^5 - 60*T1^11*T2^5 - 25*T2^6 - 172*T1*T2^6 + 30*T1^2*T2^6 + 
      766*T1^3*T2^6 - 2828*T1^4*T2^6 + 4201*T1^5*T2^6 + 1788*T1^6*T2^6 - 
      5357*T1^7*T2^6 + 2990*T1^8*T2^6 - 794*T1^9*T2^6 - 118*T1^10*T2^6 + 
      148*T1^11*T2^6 + 23*T1^12*T2^6 + 68*T1*T2^7 + 72*T1^2*T2^7 - 
      572*T1^3*T2^7 + 916*T1^4*T2^7 + 325*T1^5*T2^7 - 5357*T1^6*T2^7 + 
      6729*T1^7*T2^7 - 1822*T1^8*T2^7 - 458*T1^9*T2^7 + 530*T1^10*T2^7 - 
      200*T1^11*T2^7 - 92*T1^12*T2^7 - 86*T1^2*T2^8 + 284*T1^3*T2^8 + 
      26*T1^4*T2^8 - 1080*T1^5*T2^8 + 2990*T1^6*T2^8 - 1822*T1^7*T2^8 - 
      2634*T1^8*T2^8 + 2160*T1^9*T2^8 - 542*T1^10*T2^8 - 68*T1^11*T2^8 + 
      218*T1^12*T2^8 + 15*T1^3*T2^9 - 324*T1^4*T2^9 + 644*T1^5*T2^9 - 
      794*T1^6*T2^9 - 458*T1^7*T2^9 + 2160*T1^8*T2^9 - 200*T1^9*T2^9 - 
      914*T1^10*T2^9 + 668*T1^11*T2^9 - 309*T1^12*T2^9 + 66*T1^4*T2^10 - 
      24*T1^5*T2^10 - 118*T1^6*T2^10 + 530*T1^7*T2^10 - 542*T1^8*T2^10 - 
      914*T1^9*T2^10 + 1174*T1^10*T2^10 - 632*T1^11*T2^10 + 218*T1^12*T2^10 - 
      60*T1^5*T2^11 + 148*T1^6*T2^11 - 200*T1^7*T2^11 - 68*T1^8*T2^11 + 
      668*T1^9*T2^11 - 632*T1^10*T2^11 + 308*T1^11*T2^11 - 92*T1^12*T2^11 + 
      23*T1^6*T2^12 - 92*T1^7*T2^12 + 218*T1^8*T2^12 - 309*T1^9*T2^12 + 
      218*T1^10*T2^12 - 92*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 806] -> 
  {((2 - 3*T + 2*T^2)*(2 - 2*T + T^2 - 2*T^3 + 2*T^4))/T^3, 
   -((388 - 960*T1 + 1142*T1^2 - 1038*T1^3 + 1142*T1^4 - 960*T1^5 + 
      388*T1^6 - 960*T2 + 1576*T1*T2 - 846*T1^2*T2 + 220*T1^3*T2 - 
      700*T1^4*T2 + 34*T1^5*T2 + 1016*T1^6*T2 - 800*T1^7*T2 + 1142*T2^2 - 
      846*T1*T2^2 - 835*T1^2*T2^2 + 1027*T1^3*T2^2 + 117*T1^4*T2^2 + 
      1123*T1^5*T2^2 - 1603*T1^6*T2^2 + 114*T1^7*T2^2 + 758*T1^8*T2^2 - 
      1038*T2^3 + 220*T1*T2^3 + 1027*T1^2*T2^3 - 240*T1^3*T2^3 - 
      882*T1^4*T2^3 - 738*T1^5*T2^3 + 420*T1^6*T2^3 + 931*T1^7*T2^3 - 
      620*T1^8*T2^3 - 510*T1^9*T2^3 + 1142*T2^4 - 700*T1*T2^4 + 
      117*T1^2*T2^4 - 882*T1^3*T2^4 + 1438*T1^4*T2^4 + 196*T1^5*T2^4 + 
      122*T1^6*T2^4 - 530*T1^7*T2^4 + 13*T1^8*T2^4 + 340*T1^9*T2^4 + 
      374*T1^10*T2^4 - 960*T2^5 + 34*T1*T2^5 + 1123*T1^2*T2^5 - 
      738*T1^3*T2^5 + 196*T1^4*T2^5 - 1376*T1^5*T2^5 + 708*T1^6*T2^5 + 
      100*T1^7*T2^5 - 466*T1^8*T2^5 + 451*T1^9*T2^5 - 526*T1^10*T2^5 - 
      160*T1^11*T2^5 + 388*T2^6 + 1016*T1*T2^6 - 1603*T1^2*T2^6 + 
      420*T1^3*T2^6 + 122*T1^4*T2^6 + 708*T1^5*T2^6 + 480*T1^6*T2^6 - 
      1244*T1^7*T2^6 + 1066*T1^8*T2^6 - 444*T1^9*T2^6 + 93*T1^10*T2^6 + 
      376*T1^11*T2^6 + 4*T1^12*T2^6 - 800*T1*T2^7 + 114*T1^2*T2^7 + 
      931*T1^3*T2^7 - 530*T1^4*T2^7 + 100*T1^5*T2^7 - 1244*T1^6*T2^7 + 
      840*T1^7*T2^7 + 4*T1^8*T2^7 - 258*T1^9*T2^7 + 259*T1^10*T2^7 - 
      446*T1^11*T2^7 + 758*T1^2*T2^8 - 620*T1^3*T2^8 + 13*T1^4*T2^8 - 
      466*T1^5*T2^8 + 1066*T1^6*T2^8 + 4*T1^7*T2^8 - 250*T1^8*T2^8 - 
      114*T1^9*T2^8 - 91*T1^10*T2^8 + 420*T1^11*T2^8 - 10*T1^12*T2^8 - 
      510*T1^3*T2^9 + 340*T1^4*T2^9 + 451*T1^5*T2^9 - 444*T1^6*T2^9 - 
      258*T1^7*T2^9 - 114*T1^8*T2^9 + 216*T1^9*T2^9 + 355*T1^10*T2^9 - 
      500*T1^11*T2^9 + 18*T1^12*T2^9 + 374*T1^4*T2^10 - 526*T1^5*T2^10 + 
      93*T1^6*T2^10 + 259*T1^7*T2^10 - 91*T1^8*T2^10 + 355*T1^9*T2^10 - 
      675*T1^10*T2^10 + 434*T1^11*T2^10 - 10*T1^12*T2^10 - 160*T1^5*T2^11 + 
      376*T1^6*T2^11 - 446*T1^7*T2^11 + 420*T1^8*T2^11 - 500*T1^9*T2^11 + 
      434*T1^10*T2^11 - 184*T1^11*T2^11 + 4*T1^6*T2^12 - 10*T1^8*T2^12 + 
      18*T1^9*T2^12 - 10*T1^10*T2^12 + 4*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 807] -> 
  {-((2 - 8*T + 12*T^2 - 13*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3), 
   -((-41 + 163*T1 - 244*T1^2 + 265*T1^3 - 244*T1^4 + 163*T1^5 - 41*T1^6 + 
      163*T2 - 516*T1*T2 + 443*T1^2*T2 - 271*T1^3*T2 + 129*T1^4*T2 + 
      123*T1^5*T2 - 356*T1^6*T2 + 131*T1^7*T2 - 244*T2^2 + 443*T1*T2^2 + 
      500*T1^2*T2^2 - 969*T1^3*T2^2 + 1064*T1^4*T2^2 - 1209*T1^5*T2^2 + 
      980*T1^6*T2^2 + 59*T1^7*T2^2 - 148*T1^8*T2^2 + 265*T2^3 - 271*T1*T2^3 - 
      969*T1^2*T2^3 + 762*T1^3*T2^3 - 423*T1^4*T2^3 + 417*T1^5*T2^3 + 
      12*T1^6*T2^3 - 945*T1^7*T2^3 + 161*T1^8*T2^3 + 109*T1^9*T2^3 - 
      244*T2^4 + 129*T1*T2^4 + 1064*T1^2*T2^4 - 423*T1^3*T2^4 + 
      232*T1^4*T2^4 - 418*T1^5*T2^4 + 152*T1^6*T2^4 + 409*T1^7*T2^4 + 
      552*T1^8*T2^4 - 223*T1^9*T2^4 - 52*T1^10*T2^4 + 163*T2^5 + 
      123*T1*T2^5 - 1209*T1^2*T2^5 + 417*T1^3*T2^5 - 418*T1^4*T2^5 + 
      676*T1^5*T2^5 - 384*T1^6*T2^5 - 178*T1^7*T2^5 - 439*T1^8*T2^5 - 
      177*T1^9*T2^5 + 187*T1^10*T2^5 + 3*T1^11*T2^5 - 41*T2^6 - 356*T1*T2^6 + 
      980*T1^2*T2^6 + 12*T1^3*T2^6 + 152*T1^4*T2^6 - 384*T1^5*T2^6 - 
      96*T1^6*T2^6 + 544*T1^7*T2^6 - 8*T1^8*T2^6 + 468*T1^9*T2^6 - 
      204*T1^10*T2^6 - 36*T1^11*T2^6 + 7*T1^12*T2^6 + 131*T1*T2^7 + 
      59*T1^2*T2^7 - 945*T1^3*T2^7 + 409*T1^4*T2^7 - 178*T1^5*T2^7 + 
      544*T1^6*T2^7 - 516*T1^7*T2^7 + 62*T1^8*T2^7 - 447*T1^9*T2^7 + 
      87*T1^10*T2^7 + 123*T1^11*T2^7 - 29*T1^12*T2^7 - 148*T1^2*T2^8 + 
      161*T1^3*T2^8 + 552*T1^4*T2^8 - 439*T1^5*T2^8 - 8*T1^6*T2^8 + 
      62*T1^7*T2^8 - 88*T1^8*T2^8 + 393*T1^9*T2^8 + 40*T1^10*T2^8 - 
      191*T1^11*T2^8 + 44*T1^12*T2^8 + 109*T1^3*T2^9 - 223*T1^4*T2^9 - 
      177*T1^5*T2^9 + 468*T1^6*T2^9 - 447*T1^7*T2^9 + 393*T1^8*T2^9 - 
      282*T1^9*T2^9 - 153*T1^10*T2^9 + 209*T1^11*T2^9 - 47*T1^12*T2^9 - 
      52*T1^4*T2^10 + 187*T1^5*T2^10 - 204*T1^6*T2^10 + 87*T1^7*T2^10 + 
      40*T1^8*T2^10 - 153*T1^9*T2^10 + 276*T1^10*T2^10 - 197*T1^11*T2^10 + 
      44*T1^12*T2^10 + 3*T1^5*T2^11 - 36*T1^6*T2^11 + 123*T1^7*T2^11 - 
      191*T1^8*T2^11 + 209*T1^9*T2^11 - 197*T1^10*T2^11 + 124*T1^11*T2^11 - 
      29*T1^12*T2^11 + 7*T1^6*T2^12 - 29*T1^7*T2^12 + 44*T1^8*T2^12 - 
      47*T1^9*T2^12 + 44*T1^10*T2^12 - 29*T1^11*T2^12 + 7*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 808] -> 
  {-((2 - 8*T + 11*T^2 - 8*T^3 + 2*T^4)/T^2), 
   -((T1^2 - 2*T1^3 + T1^4 - 2*T1*T2 + 4*T1^2*T2 - 2*T1^3*T2 - 2*T1^4*T2 + 
      4*T1^5*T2 - 2*T1^6*T2 + T2^2 + 4*T1*T2^2 - 41*T1^2*T2^2 + 
      108*T1^3*T2^2 - 129*T1^4*T2^2 + 108*T1^5*T2^2 - 41*T1^6*T2^2 + 
      4*T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 - 2*T1*T2^3 + 108*T1^2*T2^3 - 
      306*T1^3*T2^3 + 239*T1^4*T2^3 - 65*T1^5*T2^3 - 146*T1^6*T2^3 + 
      76*T1^7*T2^3 - 2*T1^8*T2^3 - 2*T1^9*T2^3 + T2^4 - 2*T1*T2^4 - 
      129*T1^2*T2^4 + 239*T1^3*T2^4 + 290*T1^4*T2^4 - 648*T1^5*T2^4 + 
      686*T1^6*T2^4 - 113*T1^7*T2^4 - 41*T1^8*T2^4 - 2*T1^9*T2^4 + 
      T1^10*T2^4 + 4*T1*T2^5 + 108*T1^2*T2^5 - 65*T1^3*T2^5 - 648*T1^4*T2^5 + 
      754*T1^5*T2^5 - 438*T1^6*T2^5 - 296*T1^7*T2^5 + 143*T1^8*T2^5 + 
      12*T1^9*T2^5 + 4*T1^10*T2^5 - 2*T1*T2^6 - 41*T1^2*T2^6 - 
      146*T1^3*T2^6 + 686*T1^4*T2^6 - 438*T1^5*T2^6 - 72*T1^6*T2^6 + 
      586*T1^7*T2^6 - 162*T1^8*T2^6 - 18*T1^9*T2^6 - 9*T1^10*T2^6 - 
      2*T1^11*T2^6 + 4*T1^2*T2^7 + 76*T1^3*T2^7 - 113*T1^4*T2^7 - 
      296*T1^5*T2^7 + 586*T1^6*T2^7 - 606*T1^7*T2^7 + 56*T1^8*T2^7 + 
      95*T1^9*T2^7 - 20*T1^10*T2^7 + 4*T1^11*T2^7 + T1^2*T2^8 - 2*T1^3*T2^8 - 
      41*T1^4*T2^8 + 143*T1^5*T2^8 - 162*T1^6*T2^8 + 56*T1^7*T2^8 + 
      234*T1^8*T2^8 - 209*T1^9*T2^8 + 47*T1^10*T2^8 - 2*T1^11*T2^8 + 
      T1^12*T2^8 - 2*T1^3*T2^9 - 2*T1^4*T2^9 + 12*T1^5*T2^9 - 18*T1^6*T2^9 + 
      95*T1^7*T2^9 - 209*T1^8*T2^9 + 142*T1^9*T2^9 - 20*T1^10*T2^9 - 
      2*T1^11*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 + 4*T1^5*T2^10 - 
      9*T1^6*T2^10 - 20*T1^7*T2^10 + 47*T1^8*T2^10 - 20*T1^9*T2^10 - 
      9*T1^10*T2^10 + 4*T1^11*T2^10 + T1^12*T2^10 - 2*T1^6*T2^11 + 
      4*T1^7*T2^11 - 2*T1^8*T2^11 - 2*T1^9*T2^11 + 4*T1^10*T2^11 - 
      2*T1^11*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 809] -> 
  {-((2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4)/T^2), 
   -((-27 + 51*T1 - 33*T1^2 + 51*T1^3 - 27*T1^4 + 51*T2 - 60*T1*T2 - 
      6*T1^2*T2 - 62*T1^3*T2 - 12*T1^4*T2 + 35*T1^5*T2 - 33*T2^2 - 
      6*T1*T2^2 + 88*T1^2*T2^2 - 4*T1^3*T2^2 + 100*T1^4*T2^2 - 54*T1^5*T2^2 - 
      9*T1^6*T2^2 + 51*T2^3 - 62*T1*T2^3 - 4*T1^2*T2^3 - 72*T1^3*T2^3 - 
      12*T1^4*T2^3 - 4*T1^5*T2^3 + 10*T1^6*T2^3 + 3*T1^7*T2^3 - 27*T2^4 - 
      12*T1*T2^4 + 100*T1^2*T2^4 - 12*T1^3*T2^4 + 60*T1^4*T2^4 - 
      44*T1^5*T2^4 + 20*T1^6*T2^4 - 12*T1^7*T2^4 + 5*T1^8*T2^4 + 35*T1*T2^5 - 
      54*T1^2*T2^5 - 4*T1^3*T2^5 - 44*T1^4*T2^5 + 16*T1^5*T2^5 - 
      4*T1^6*T2^5 + 18*T1^7*T2^5 - 13*T1^8*T2^5 - 9*T1^2*T2^6 + 
      10*T1^3*T2^6 + 20*T1^4*T2^6 - 4*T1^5*T2^6 + 32*T1^6*T2^6 - 
      38*T1^7*T2^6 + 15*T1^8*T2^6 + 3*T1^3*T2^7 - 12*T1^4*T2^7 + 
      18*T1^5*T2^7 - 38*T1^6*T2^7 + 36*T1^7*T2^7 - 13*T1^8*T2^7 + 
      5*T1^4*T2^8 - 13*T1^5*T2^8 + 15*T1^6*T2^8 - 13*T1^7*T2^8 + 5*T1^8*T2^8)/
     (T1^5*T2^4*(-1 + T1*T2)))}, Knot[12, NonAlternating, 810] -> 
  {(2 - 8*T + 12*T^2 - 11*T^3 + 12*T^4 - 8*T^5 + 2*T^6)/T^3, 
   (-31 + 123*T1 - 184*T1^2 + 169*T1^3 - 184*T1^4 + 123*T1^5 - 31*T1^6 + 
     123*T2 - 398*T1*T2 + 373*T1^2*T2 - 135*T1^3*T2 + 233*T1^4*T2 + 
     53*T1^5*T2 - 238*T1^6*T2 + 91*T1^7*T2 - 184*T2^2 + 373*T1*T2^2 + 
     238*T1^2*T2^2 - 787*T1^3*T2^2 + 386*T1^4*T2^2 - 931*T1^5*T2^2 + 
     718*T1^6*T2^2 - 11*T1^7*T2^2 - 88*T1^8*T2^2 + 169*T2^3 - 135*T1*T2^3 - 
     787*T1^2*T2^3 + 1000*T1^3*T2^3 - 133*T1^4*T2^3 + 755*T1^5*T2^3 - 
     62*T1^6*T2^3 - 619*T1^7*T2^3 + 201*T1^8*T2^3 + 37*T1^9*T2^3 - 184*T2^4 + 
     233*T1*T2^4 + 386*T1^2*T2^4 - 133*T1^3*T2^4 - 934*T1^4*T2^4 + 
     266*T1^5*T2^4 - 502*T1^6*T2^4 + 571*T1^7*T2^4 + 130*T1^8*T2^4 - 
     183*T1^9*T2^4 + 8*T1^10*T2^4 + 123*T2^5 + 53*T1*T2^5 - 931*T1^2*T2^5 + 
     755*T1^3*T2^5 + 266*T1^4*T2^5 + 780*T1^5*T2^5 - 1144*T1^6*T2^5 + 
     410*T1^7*T2^5 - 501*T1^8*T2^5 + 149*T1^9*T2^5 + 117*T1^10*T2^5 - 
     37*T1^11*T2^5 - 31*T2^6 - 238*T1*T2^6 + 718*T1^2*T2^6 - 62*T1^3*T2^6 - 
     502*T1^4*T2^6 - 1144*T1^5*T2^6 + 1272*T1^6*T2^6 + 360*T1^7*T2^6 - 
     150*T1^8*T2^6 + 442*T1^9*T2^6 - 466*T1^10*T2^6 + 82*T1^11*T2^6 + 
     17*T1^12*T2^6 + 91*T1*T2^7 - 11*T1^2*T2^7 - 619*T1^3*T2^7 + 
     571*T1^4*T2^7 + 410*T1^5*T2^7 + 360*T1^6*T2^7 - 1564*T1^7*T2^7 + 
     554*T1^8*T2^7 - 685*T1^9*T2^7 + 461*T1^10*T2^7 + 53*T1^11*T2^7 - 
     69*T1^12*T2^7 - 88*T1^2*T2^8 + 201*T1^3*T2^8 + 130*T1^4*T2^8 - 
     501*T1^5*T2^8 - 150*T1^6*T2^8 + 554*T1^7*T2^8 + 282*T1^8*T2^8 + 
     203*T1^9*T2^8 - 126*T1^10*T2^8 - 215*T1^11*T2^8 + 104*T1^12*T2^8 + 
     37*T1^3*T2^9 - 183*T1^4*T2^9 + 149*T1^5*T2^9 + 442*T1^6*T2^9 - 
     685*T1^7*T2^9 + 203*T1^8*T2^9 - 620*T1^9*T2^9 + 317*T1^10*T2^9 + 
     153*T1^11*T2^9 - 95*T1^12*T2^9 + 8*T1^4*T2^10 + 117*T1^5*T2^10 - 
     466*T1^6*T2^10 + 461*T1^7*T2^10 - 126*T1^8*T2^10 + 317*T1^9*T2^10 + 
     14*T1^10*T2^10 - 267*T1^11*T2^10 + 104*T1^12*T2^10 - 37*T1^5*T2^11 + 
     82*T1^6*T2^11 + 53*T1^7*T2^11 - 215*T1^8*T2^11 + 153*T1^9*T2^11 - 
     267*T1^10*T2^11 + 242*T1^11*T2^11 - 69*T1^12*T2^11 + 17*T1^6*T2^12 - 
     69*T1^7*T2^12 + 104*T1^8*T2^12 - 95*T1^9*T2^12 + 104*T1^10*T2^12 - 
     69*T1^11*T2^12 + 17*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 811] -> {((1 - T + T^2)^2*(2 - 3*T + 2*T^2))/T^3, 
   (-33 + 116*T1 - 232*T1^2 + 281*T1^3 - 232*T1^4 + 116*T1^5 - 33*T1^6 + 
     116*T2 - 318*T1*T2 + 504*T1^2*T2 - 368*T1^3*T2 + 66*T1^4*T2 + 
     210*T1^5*T2 - 192*T1^6*T2 + 88*T1^7*T2 - 232*T2^2 + 504*T1*T2^2 - 
     684*T1^2*T2^2 + 267*T1^3*T2^2 + 108*T1^4*T2^2 - 293*T1^5*T2^2 - 
     12*T1^6*T2^2 + 112*T1^7*T2^2 - 120*T1^8*T2^2 + 281*T2^3 - 368*T1*T2^3 + 
     267*T1^2*T2^3 + 504*T1^3*T2^3 - 581*T1^4*T2^3 + 315*T1^5*T2^3 + 
     384*T1^6*T2^3 - 279*T1^7*T2^3 + 150*T1^8*T2^3 + 77*T1^9*T2^3 - 
     232*T2^4 + 66*T1*T2^4 + 108*T1^2*T2^4 - 581*T1^3*T2^4 - 236*T1^4*T2^4 + 
     878*T1^5*T2^4 - 1272*T1^6*T2^4 + 371*T1^7*T2^4 + 10*T1^8*T2^4 - 
     242*T1^9*T2^4 - 8*T1^10*T2^4 + 116*T2^5 + 210*T1*T2^5 - 293*T1^2*T2^5 + 
     315*T1^3*T2^5 + 878*T1^4*T2^5 - 1106*T1^5*T2^5 + 728*T1^6*T2^5 + 
     486*T1^7*T2^5 - 469*T1^8*T2^5 + 309*T1^9*T2^5 + 112*T1^10*T2^5 - 
     24*T1^11*T2^5 - 33*T2^6 - 192*T1*T2^6 - 12*T1^2*T2^6 + 384*T1^3*T2^6 - 
     1272*T1^4*T2^6 + 728*T1^5*T2^6 + 192*T1^6*T2^6 - 1008*T1^7*T2^6 + 
     436*T1^8*T2^6 - 24*T1^9*T2^6 - 264*T1^10*T2^6 + 32*T1^11*T2^6 + 
     15*T1^12*T2^6 + 88*T1*T2^7 + 112*T1^2*T2^7 - 279*T1^3*T2^7 + 
     371*T1^4*T2^7 + 486*T1^5*T2^7 - 1008*T1^6*T2^7 + 826*T1^7*T2^7 + 
     94*T1^8*T2^7 - 413*T1^9*T2^7 + 323*T1^10*T2^7 + 14*T1^11*T2^7 - 
     52*T1^12*T2^7 - 120*T1^2*T2^8 + 150*T1^3*T2^8 + 10*T1^4*T2^8 - 
     469*T1^5*T2^8 + 436*T1^6*T2^8 + 94*T1^7*T2^8 - 600*T1^8*T2^8 + 
     483*T1^9*T2^8 - 88*T1^10*T2^8 - 158*T1^11*T2^8 + 104*T1^12*T2^8 + 
     77*T1^3*T2^9 - 242*T1^4*T2^9 + 309*T1^5*T2^9 - 24*T1^6*T2^9 - 
     413*T1^7*T2^9 + 483*T1^8*T2^9 - 144*T1^9*T2^9 - 237*T1^10*T2^9 + 
     276*T1^11*T2^9 - 127*T1^12*T2^9 - 8*T1^4*T2^10 + 112*T1^5*T2^10 - 
     264*T1^6*T2^10 + 323*T1^7*T2^10 - 88*T1^8*T2^10 - 237*T1^9*T2^10 + 
     408*T1^10*T2^10 - 280*T1^11*T2^10 + 104*T1^12*T2^10 - 24*T1^5*T2^11 + 
     32*T1^6*T2^11 + 14*T1^7*T2^11 - 158*T1^8*T2^11 + 276*T1^9*T2^11 - 
     280*T1^10*T2^11 + 158*T1^11*T2^11 - 52*T1^12*T2^11 + 15*T1^6*T2^12 - 
     52*T1^7*T2^12 + 104*T1^8*T2^12 - 127*T1^9*T2^12 + 104*T1^10*T2^12 - 
     52*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 812] -> {(1 - T + T^2)^2/T^2, 
   -((T1^2 - 2*T1^3 + T1^4 - T1^2*T2 + 2*T1^3*T2 + 2*T1^4*T2 - T1^5*T2 + 
      T2^2 - T1*T2^2 - 6*T1^4*T2^2 - T1^7*T2^2 + T1^8*T2^2 - 2*T2^3 + 
      2*T1*T2^3 - 2*T1^3*T2^3 + 10*T1^5*T2^3 - 8*T1^6*T2^3 + 2*T1^7*T2^3 + 
      2*T1^8*T2^3 - 2*T1^9*T2^3 + T2^4 + 2*T1*T2^4 - 6*T1^2*T2^4 + 
      44*T1^4*T2^4 - 50*T1^5*T2^4 + 32*T1^6*T2^4 + 12*T1^7*T2^4 - 
      12*T1^8*T2^4 + 2*T1^9*T2^4 + T1^10*T2^4 - T1*T2^5 + 10*T1^3*T2^5 - 
      50*T1^4*T2^5 + 2*T1^5*T2^5 + 14*T1^6*T2^5 - 50*T1^7*T2^5 + 
      4*T1^8*T2^5 + 6*T1^9*T2^5 - T1^10*T2^5 - 8*T1^3*T2^6 + 32*T1^4*T2^6 + 
      14*T1^5*T2^6 + 12*T1^6*T2^6 + 6*T1^7*T2^6 + 36*T1^8*T2^6 - 
      8*T1^9*T2^6 - 4*T1^10*T2^6 - T1^2*T2^7 + 2*T1^3*T2^7 + 12*T1^4*T2^7 - 
      50*T1^5*T2^7 + 6*T1^6*T2^7 + 18*T1^7*T2^7 - 50*T1^8*T2^7 + 
      6*T1^9*T2^7 + 8*T1^10*T2^7 - T1^11*T2^7 + T1^2*T2^8 + 2*T1^3*T2^8 - 
      12*T1^4*T2^8 + 4*T1^5*T2^8 + 36*T1^6*T2^8 - 50*T1^7*T2^8 + 
      24*T1^8*T2^8 + 16*T1^9*T2^8 - 18*T1^10*T2^8 + 2*T1^11*T2^8 + 
      T1^12*T2^8 - 2*T1^3*T2^9 + 2*T1^4*T2^9 + 6*T1^5*T2^9 - 8*T1^6*T2^9 + 
      6*T1^7*T2^9 + 16*T1^8*T2^9 - 14*T1^9*T2^9 + 8*T1^10*T2^9 + 
      2*T1^11*T2^9 - 2*T1^12*T2^9 + T1^4*T2^10 - T1^5*T2^10 - 4*T1^6*T2^10 + 
      8*T1^7*T2^10 - 18*T1^8*T2^10 + 8*T1^9*T2^10 - 4*T1^10*T2^10 - 
      T1^11*T2^10 + T1^12*T2^10 - T1^7*T2^11 + 2*T1^8*T2^11 + 2*T1^9*T2^11 - 
      T1^10*T2^11 + T1^8*T2^12 - 2*T1^9*T2^12 + T1^10*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 813] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-23 + 104*T1 - 206*T1^2 + 261*T1^3 - 206*T1^4 + 104*T1^5 - 23*T1^6 + 
      104*T2 - 406*T1*T2 + 638*T1^2*T2 - 584*T1^3*T2 + 154*T1^4*T2 + 
      152*T1^5*T2 - 208*T1^6*T2 + 68*T1^7*T2 - 206*T2^2 + 638*T1*T2^2 - 
      548*T1^2*T2^2 - 181*T1^3*T2^2 + 1216*T1^4*T2^2 - 1189*T1^5*T2^2 + 
      604*T1^6*T2^2 - 10*T1^7*T2^2 - 62*T1^8*T2^2 + 261*T2^3 - 584*T1*T2^3 - 
      181*T1^2*T2^3 + 1512*T1^3*T2^3 - 2193*T1^4*T2^3 + 723*T1^5*T2^3 + 
      588*T1^6*T2^3 - 883*T1^7*T2^3 + 334*T1^8*T2^3 - 15*T1^9*T2^3 - 
      206*T2^4 + 154*T1*T2^4 + 1216*T1^2*T2^4 - 2193*T1^3*T2^4 + 
      948*T1^4*T2^4 + 1946*T1^5*T2^4 - 2544*T1^6*T2^4 + 1119*T1^7*T2^4 + 
      82*T1^8*T2^4 - 314*T1^9*T2^4 + 82*T1^10*T2^4 + 104*T2^5 + 152*T1*T2^5 - 
      1189*T1^2*T2^5 + 723*T1^3*T2^5 + 1946*T1^4*T2^5 - 3390*T1^5*T2^5 + 
      1452*T1^6*T2^5 + 1298*T1^7*T2^5 - 1401*T1^8*T2^5 + 737*T1^9*T2^5 - 
      10*T1^10*T2^5 - 76*T1^11*T2^5 - 23*T2^6 - 208*T1*T2^6 + 604*T1^2*T2^6 + 
      588*T1^3*T2^6 - 2544*T1^4*T2^6 + 1452*T1^5*T2^6 + 1140*T1^6*T2^6 - 
      2652*T1^7*T2^6 + 804*T1^8*T2^6 + 36*T1^9*T2^6 - 584*T1^10*T2^6 + 
      224*T1^11*T2^6 + 25*T1^12*T2^6 + 68*T1*T2^7 - 10*T1^2*T2^7 - 
      883*T1^3*T2^7 + 1119*T1^4*T2^7 + 1298*T1^5*T2^7 - 2652*T1^6*T2^7 + 
      2190*T1^7*T2^7 + 650*T1^8*T2^7 - 1005*T1^9*T2^7 + 1043*T1^10*T2^7 - 
      172*T1^11*T2^7 - 112*T1^12*T2^7 - 62*T1^2*T2^8 + 334*T1^3*T2^8 + 
      82*T1^4*T2^8 - 1401*T1^5*T2^8 + 804*T1^6*T2^8 + 650*T1^7*T2^8 - 
      2688*T1^8*T2^8 + 1911*T1^9*T2^8 - 1052*T1^10*T2^8 - 134*T1^11*T2^8 + 
      226*T1^12*T2^8 - 15*T1^3*T2^9 - 314*T1^4*T2^9 + 737*T1^5*T2^9 + 
      36*T1^6*T2^9 - 1005*T1^7*T2^9 + 1911*T1^8*T2^9 - 888*T1^9*T2^9 + 
      35*T1^10*T2^9 + 604*T1^11*T2^9 - 291*T1^12*T2^9 + 82*T1^4*T2^10 - 
      10*T1^5*T2^10 - 584*T1^6*T2^10 + 1043*T1^7*T2^10 - 1052*T1^8*T2^10 + 
      35*T1^9*T2^10 + 568*T1^10*T2^10 - 658*T1^11*T2^10 + 226*T1^12*T2^10 - 
      76*T1^5*T2^11 + 224*T1^6*T2^11 - 172*T1^7*T2^11 - 134*T1^8*T2^11 + 
      604*T1^9*T2^11 - 658*T1^10*T2^11 + 422*T1^11*T2^11 - 112*T1^12*T2^11 + 
      25*T1^6*T2^12 - 112*T1^7*T2^12 + 226*T1^8*T2^12 - 291*T1^9*T2^12 + 
      226*T1^10*T2^12 - 112*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 814] -> 
  {-((6 - 24*T + 35*T^2 - 24*T^3 + 6*T^4)/T^2), 
   -((-723 + 2889*T1 - 4199*T1^2 + 2889*T1^3 - 723*T1^4 + 2889*T2 - 
      9532*T1*T2 + 8700*T1^2*T2 + 204*T1^3*T2 - 5212*T1^4*T2 + 2025*T1^5*T2 - 
      4199*T2^2 + 8700*T1*T2^2 + 6360*T1^2*T2^2 - 23652*T1^3*T2^2 + 
      18540*T1^4*T2^2 - 1380*T1^5*T2^2 - 1679*T1^6*T2^2 + 2889*T2^3 + 
      204*T1*T2^3 - 23652*T1^2*T2^3 + 30306*T1^3*T2^3 - 6294*T1^4*T2^3 - 
      13572*T1^5*T2^3 + 5532*T1^6*T2^3 + 297*T1^7*T2^3 - 723*T2^4 - 
      5212*T1*T2^4 + 18540*T1^2*T2^4 - 6294*T1^3*T2^4 - 20196*T1^4*T2^4 + 
      23658*T1^5*T2^4 - 4068*T1^6*T2^4 - 1756*T1^7*T2^4 + 141*T1^8*T2^4 + 
      2025*T1*T2^5 - 1380*T1^2*T2^5 - 13572*T1^3*T2^5 + 23658*T1^4*T2^5 - 
      12942*T1^5*T2^5 - 3492*T1^6*T2^5 + 3948*T1^7*T2^5 - 567*T1^8*T2^5 - 
      1679*T1^2*T2^6 + 5532*T1^3*T2^6 - 4068*T1^4*T2^6 - 3492*T1^5*T2^6 + 
      8112*T1^6*T2^6 - 4548*T1^7*T2^6 + 841*T1^8*T2^6 + 297*T1^3*T2^7 - 
      1756*T1^4*T2^7 + 3948*T1^5*T2^7 - 4548*T1^6*T2^7 + 2564*T1^7*T2^7 - 
      567*T1^8*T2^7 + 141*T1^4*T2^8 - 567*T1^5*T2^8 + 841*T1^6*T2^8 - 
      567*T1^7*T2^8 + 141*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 815] -> {-((1 - 2*T + T^2 - 2*T^3 + T^4)/T^2), 
   -((-3 + 7*T1 - 7*T1^2 + 7*T1^3 - 3*T1^4 + 7*T2 - 6*T1*T2 - T1^2*T2 - 
      7*T1^3*T2 + 5*T1^5*T2 - 7*T2^2 - T1*T2^2 + 4*T1^2*T2^2 + 4*T1^3*T2^2 + 
      4*T1^4*T2^2 - 5*T1^5*T2^2 - 5*T1^6*T2^2 + 7*T2^3 - 7*T1*T2^3 + 
      4*T1^2*T2^3 - 2*T1^3*T2^3 + 10*T1^4*T2^3 + 4*T1^5*T2^3 + 3*T1^6*T2^3 + 
      T1^7*T2^3 - 3*T2^4 + 4*T1^2*T2^4 + 10*T1^3*T2^4 - 36*T1^4*T2^4 + 
      2*T1^5*T2^4 - 8*T1^6*T2^4 + T1^8*T2^4 + 5*T1*T2^5 - 5*T1^2*T2^5 + 
      4*T1^3*T2^5 + 2*T1^4*T2^5 + 14*T1^5*T2^5 + 4*T1^6*T2^5 + 5*T1^7*T2^5 - 
      T1^8*T2^5 - 5*T1^2*T2^6 + 3*T1^3*T2^6 - 8*T1^4*T2^6 + 4*T1^5*T2^6 - 
      8*T1^6*T2^6 - T1^7*T2^6 - 3*T1^8*T2^6 + T1^3*T2^7 + 5*T1^5*T2^7 - 
      T1^6*T2^7 + 6*T1^7*T2^7 - T1^8*T2^7 + T1^4*T2^8 - T1^5*T2^8 - 
      3*T1^6*T2^8 - T1^7*T2^8 + T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 816] -> 
  {-((2 - 11*T + 26*T^2 - 35*T^3 + 26*T^4 - 11*T^5 + 2*T^6)/T^3), 
   -((-23 + 127*T1 - 300*T1^2 + 403*T1^3 - 300*T1^4 + 127*T1^5 - 23*T1^6 + 
      127*T2 - 618*T1*T2 + 1197*T1^2*T2 - 1139*T1^3*T2 + 203*T1^4*T2 + 
      383*T1^5*T2 - 332*T1^6*T2 + 83*T1^7*T2 - 300*T2^2 + 1197*T1*T2^2 - 
      1461*T1^2*T2^2 - 265*T1^3*T2^2 + 2951*T1^4*T2^2 - 2761*T1^5*T2^2 + 
      1035*T1^6*T2^2 + 53*T1^7*T2^2 - 92*T1^8*T2^2 + 403*T2^3 - 
      1139*T1*T2^3 - 265*T1^2*T2^3 + 4382*T1^3*T2^3 - 6950*T1^4*T2^3 + 
      2726*T1^5*T2^3 + 1570*T1^6*T2^3 - 2007*T1^7*T2^3 + 599*T1^8*T2^3 - 
      17*T1^9*T2^3 - 300*T2^4 + 203*T1*T2^4 + 2951*T1^2*T2^4 - 
      6950*T1^3*T2^4 + 4842*T1^4*T2^4 + 4788*T1^5*T2^4 - 8646*T1^6*T2^4 + 
      4250*T1^7*T2^4 - 111*T1^8*T2^4 - 545*T1^9*T2^4 + 116*T1^10*T2^4 + 
      127*T2^5 + 383*T1*T2^5 - 2761*T1^2*T2^5 + 2726*T1^3*T2^5 + 
      4788*T1^4*T2^5 - 13954*T1^5*T2^5 + 11240*T1^6*T2^5 + 4*T1^7*T2^5 - 
      3902*T1^8*T2^5 + 1997*T1^9*T2^5 - 123*T1^10*T2^5 - 93*T1^11*T2^5 - 
      23*T2^6 - 332*T1*T2^6 + 1035*T1^2*T2^6 + 1570*T1^3*T2^6 - 
      8646*T1^4*T2^6 + 11240*T1^5*T2^6 - 2328*T1^6*T2^6 - 9856*T1^7*T2^6 + 
      7486*T1^8*T2^6 - 1558*T1^9*T2^6 - 961*T1^10*T2^6 + 372*T1^11*T2^6 + 
      25*T1^12*T2^6 + 83*T1*T2^7 + 53*T1^2*T2^7 - 2007*T1^3*T2^7 + 
      4250*T1^4*T2^7 + 4*T1^5*T2^7 - 9856*T1^6*T2^7 + 15338*T1^7*T2^7 - 
      4780*T1^8*T2^7 - 2378*T1^9*T2^7 + 2751*T1^10*T2^7 - 453*T1^11*T2^7 - 
      137*T1^12*T2^7 - 92*T1^2*T2^8 + 599*T1^3*T2^8 - 111*T1^4*T2^8 - 
      3902*T1^5*T2^8 + 7486*T1^6*T2^8 - 4780*T1^7*T2^8 - 6002*T1^8*T2^8 + 
      7298*T1^9*T2^8 - 3173*T1^10*T2^8 - 149*T1^11*T2^8 + 324*T1^12*T2^8 - 
      17*T1^3*T2^9 - 545*T1^4*T2^9 + 1997*T1^5*T2^9 - 1558*T1^6*T2^9 - 
      2378*T1^7*T2^9 + 7298*T1^8*T2^9 - 4370*T1^9*T2^9 + 255*T1^10*T2^9 + 
      1193*T1^11*T2^9 - 437*T1^12*T2^9 + 116*T1^4*T2^10 - 123*T1^5*T2^10 - 
      961*T1^6*T2^10 + 2751*T1^7*T2^10 - 3173*T1^8*T2^10 + 255*T1^9*T2^10 + 
      1535*T1^10*T2^10 - 1267*T1^11*T2^10 + 324*T1^12*T2^10 - 93*T1^5*T2^11 + 
      372*T1^6*T2^11 - 453*T1^7*T2^11 - 149*T1^8*T2^11 + 1193*T1^9*T2^11 - 
      1267*T1^10*T2^11 + 658*T1^11*T2^11 - 137*T1^12*T2^11 + 25*T1^6*T2^12 - 
      137*T1^7*T2^12 + 324*T1^8*T2^12 - 437*T1^9*T2^12 + 324*T1^10*T2^12 - 
      137*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 817] -> 
  {-(((-2 + 2*T - 2*T^2 + T^3)*(-1 + 2*T - 2*T^2 + 2*T^3))/T^3), 
   -((-23 + 69*T1 - 116*T1^2 + 151*T1^3 - 116*T1^4 + 69*T1^5 - 23*T1^6 + 
      69*T2 - 162*T1*T2 + 213*T1^2*T2 - 225*T1^3*T2 + 51*T1^4*T2 + 
      21*T1^5*T2 - 66*T1^6*T2 + 45*T1^7*T2 - 116*T2^2 + 213*T1*T2^2 - 
      239*T1^2*T2^2 + 256*T1^3*T2^2 + 35*T1^4*T2^2 - 24*T1^5*T2^2 + 
      81*T1^6*T2^2 - 27*T1^7*T2^2 - 36*T1^8*T2^2 + 151*T2^3 - 225*T1*T2^3 + 
      256*T1^2*T2^3 - 308*T1^3*T2^3 - 129*T1^4*T2^3 + 3*T1^5*T2^3 - 
      98*T1^6*T2^3 - 44*T1^7*T2^3 + 123*T1^8*T2^3 - 5*T1^9*T2^3 - 116*T2^4 + 
      51*T1*T2^4 + 35*T1^2*T2^4 - 129*T1^3*T2^4 + 667*T1^4*T2^4 - 
      239*T1^5*T2^4 + 215*T1^6*T2^4 + 79*T1^7*T2^4 - 101*T1^8*T2^4 - 
      117*T1^9*T2^4 + 44*T1^10*T2^4 + 69*T2^5 + 21*T1*T2^5 - 24*T1^2*T2^5 + 
      3*T1^3*T2^5 - 239*T1^4*T2^5 - 388*T1^5*T2^5 + 202*T1^6*T2^5 - 
      219*T1^7*T2^5 + 23*T1^8*T2^5 + 196*T1^9*T2^5 + 21*T1^10*T2^5 - 
      51*T1^11*T2^5 - 23*T2^6 - 66*T1*T2^6 + 81*T1^2*T2^6 - 98*T1^3*T2^6 + 
      215*T1^4*T2^6 + 202*T1^5*T2^6 + 132*T1^6*T2^6 - 190*T1^7*T2^6 + 
      183*T1^8*T2^6 - 170*T1^9*T2^6 - 143*T1^10*T2^6 + 78*T1^11*T2^6 + 
      25*T1^12*T2^6 + 45*T1*T2^7 - 27*T1^2*T2^7 - 44*T1^3*T2^7 + 
      79*T1^4*T2^7 - 219*T1^5*T2^7 - 190*T1^6*T2^7 + 400*T1^7*T2^7 - 
      199*T1^8*T2^7 + 99*T1^9*T2^7 + 176*T1^10*T2^7 - 27*T1^11*T2^7 - 
      75*T1^12*T2^7 - 36*T1^2*T2^8 + 123*T1^3*T2^8 - 101*T1^4*T2^8 + 
      23*T1^5*T2^8 + 183*T1^6*T2^8 - 199*T1^7*T2^8 - 269*T1^8*T2^8 + 
      231*T1^9*T2^8 - 237*T1^10*T2^8 - 45*T1^11*T2^8 + 124*T1^12*T2^8 - 
      5*T1^3*T2^9 - 117*T1^4*T2^9 + 196*T1^5*T2^9 - 170*T1^6*T2^9 + 
      99*T1^7*T2^9 + 231*T1^8*T2^9 + 40*T1^9*T2^9 - 104*T1^10*T2^9 + 
      231*T1^11*T2^9 - 161*T1^12*T2^9 + 44*T1^4*T2^10 + 21*T1^5*T2^10 - 
      143*T1^6*T2^10 + 176*T1^7*T2^10 - 237*T1^8*T2^10 - 104*T1^9*T2^10 + 
      177*T1^10*T2^10 - 219*T1^11*T2^10 + 124*T1^12*T2^10 - 51*T1^5*T2^11 + 
      78*T1^6*T2^11 - 27*T1^7*T2^11 - 45*T1^8*T2^11 + 231*T1^9*T2^11 - 
      219*T1^10*T2^11 + 174*T1^11*T2^11 - 75*T1^12*T2^11 + 25*T1^6*T2^12 - 
      75*T1^7*T2^12 + 124*T1^8*T2^12 - 161*T1^9*T2^12 + 124*T1^10*T2^12 - 
      75*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 818] -> 
  {(1 - 9*T + 22*T^2 - 27*T^3 + 22*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 88*T1^2 + 108*T1^3 - 88*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 553*T1^2*T2 - 380*T1^3*T2 + 61*T1^4*T2 + 274*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 88*T2^2 + 553*T1*T2^2 + 175*T1^2*T2^2 - 
     2477*T1^3*T2^2 + 3531*T1^4*T2^2 - 3269*T1^5*T2^2 + 1099*T1^6*T2^2 + 
     157*T1^7*T2^2 - 44*T1^8*T2^2 + 108*T2^3 - 380*T1*T2^3 - 2477*T1^2*T2^3 + 
     6405*T1^3*T2^3 - 5126*T1^4*T2^3 + 2065*T1^5*T2^3 + 2535*T1^6*T2^3 - 
     2279*T1^7*T2^3 + 151*T1^8*T2^3 + 27*T1^9*T2^3 - 88*T2^4 + 61*T1*T2^4 + 
     3531*T1^2*T2^4 - 5126*T1^3*T2^4 - 1132*T1^4*T2^4 + 5548*T1^5*T2^4 - 
     8032*T1^6*T2^4 + 2704*T1^7*T2^4 + 1093*T1^8*T2^4 - 245*T1^9*T2^4 + 
     36*T2^5 + 274*T1*T2^5 - 3269*T1^2*T2^5 + 2065*T1^3*T2^5 + 
     5548*T1^4*T2^5 - 6795*T1^5*T2^5 + 4347*T1^6*T2^5 + 2776*T1^7*T2^5 - 
     3848*T1^8*T2^5 + 493*T1^9*T2^5 + 85*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 1099*T1^2*T2^6 + 2535*T1^3*T2^6 - 8032*T1^4*T2^6 + 
     4347*T1^5*T2^6 + 1800*T1^6*T2^6 - 6327*T1^7*T2^6 + 3680*T1^8*T2^6 + 
     789*T1^9*T2^6 - 717*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 157*T1^2*T2^7 - 2279*T1^3*T2^7 + 2704*T1^4*T2^7 + 
     2776*T1^5*T2^7 - 6327*T1^6*T2^7 + 4815*T1^7*T2^7 + 4*T1^8*T2^7 - 
     3209*T1^9*T2^7 + 1483*T1^10*T2^7 - 32*T1^11*T2^7 - 18*T1^12*T2^7 - 
     44*T1^2*T2^8 + 151*T1^3*T2^8 + 1093*T1^4*T2^8 - 3848*T1^5*T2^8 + 
     3680*T1^6*T2^8 + 4*T1^7*T2^8 - 3220*T1^8*T2^8 + 3982*T1^9*T2^8 - 
     1345*T1^10*T2^8 - 155*T1^11*T2^8 + 44*T1^12*T2^8 + 27*T1^3*T2^9 - 
     245*T1^4*T2^9 + 493*T1^5*T2^9 + 789*T1^6*T2^9 - 3209*T1^7*T2^9 + 
     3982*T1^8*T2^9 - 3081*T1^9*T2^9 + 691*T1^10*T2^9 + 286*T1^11*T2^9 - 
     54*T1^12*T2^9 + 85*T1^5*T2^10 - 717*T1^6*T2^10 + 1483*T1^7*T2^10 - 
     1345*T1^8*T2^10 + 691*T1^9*T2^10 + 207*T1^10*T2^10 - 311*T1^11*T2^10 + 
     44*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 32*T1^7*T2^11 - 
     155*T1^8*T2^11 + 286*T1^9*T2^11 - 311*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 44*T1^8*T2^12 - 
     54*T1^9*T2^12 + 44*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 819] -> 
  {(3 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-111 + 444*T1 - 886*T1^2 + 1069*T1^3 - 886*T1^4 + 444*T1^5 - 111*T1^6 + 
     444*T2 - 1438*T1*T2 + 2198*T1^2*T2 - 1595*T1^3*T2 + 313*T1^4*T2 + 
     902*T1^5*T2 - 898*T1^6*T2 + 336*T1^7*T2 - 886*T2^2 + 2198*T1*T2^2 - 
     2132*T1^2*T2^2 - 450*T1^3*T2^2 + 2368*T1^4*T2^2 - 2898*T1^5*T2^2 + 
     892*T1^6*T2^2 + 470*T1^7*T2^2 - 454*T1^8*T2^2 + 1069*T2^3 - 
     1595*T1*T2^3 - 450*T1^2*T2^3 + 4317*T1^3*T2^3 - 4096*T1^4*T2^3 + 
     1772*T1^5*T2^3 + 2301*T1^6*T2^3 - 2394*T1^7*T2^3 + 673*T1^8*T2^3 + 
     286*T1^9*T2^3 - 886*T2^4 + 313*T1*T2^4 + 2368*T1^2*T2^4 - 
     4096*T1^3*T2^4 - 410*T1^4*T2^4 + 4172*T1^5*T2^4 - 6194*T1^6*T2^4 + 
     2168*T1^7*T2^4 + 928*T1^8*T2^4 - 1055*T1^9*T2^4 - 22*T1^10*T2^4 + 
     444*T2^5 + 902*T1*T2^5 - 2898*T1^2*T2^5 + 1772*T1^3*T2^5 + 
     4172*T1^4*T2^5 - 5352*T1^5*T2^5 + 3132*T1^6*T2^5 + 2444*T1^7*T2^5 - 
     3304*T1^8*T2^5 + 1062*T1^9*T2^5 + 470*T1^10*T2^5 - 96*T1^11*T2^5 - 
     111*T2^6 - 898*T1*T2^6 + 892*T1^2*T2^6 + 2301*T1^3*T2^6 - 
     6194*T1^4*T2^6 + 3132*T1^5*T2^6 + 1704*T1^6*T2^6 - 5004*T1^7*T2^6 + 
     2590*T1^8*T2^6 + 735*T1^9*T2^6 - 1268*T1^10*T2^6 + 182*T1^11*T2^6 + 
     51*T1^12*T2^6 + 336*T1*T2^7 + 470*T1^2*T2^7 - 2394*T1^3*T2^7 + 
     2168*T1^4*T2^7 + 2444*T1^5*T2^7 - 5004*T1^6*T2^7 + 3480*T1^7*T2^7 + 
     716*T1^8*T2^7 - 2908*T1^9*T2^7 + 1566*T1^10*T2^7 + 38*T1^11*T2^7 - 
     204*T1^12*T2^7 - 454*T1^2*T2^8 + 673*T1^3*T2^8 + 928*T1^4*T2^8 - 
     3304*T1^5*T2^8 + 2590*T1^6*T2^8 + 716*T1^7*T2^8 - 3194*T1^8*T2^8 + 
     2960*T1^9*T2^8 - 512*T1^10*T2^8 - 695*T1^11*T2^8 + 410*T1^12*T2^8 + 
     286*T1^3*T2^9 - 1055*T1^4*T2^9 + 1062*T1^5*T2^9 + 735*T1^6*T2^9 - 
     2908*T1^7*T2^9 + 2960*T1^8*T2^9 - 1281*T1^9*T2^9 - 882*T1^10*T2^9 + 
     1213*T1^11*T2^9 - 497*T1^12*T2^9 - 22*T1^4*T2^10 + 470*T1^5*T2^10 - 
     1268*T1^6*T2^10 + 1566*T1^7*T2^10 - 512*T1^8*T2^10 - 882*T1^9*T2^10 + 
     1756*T1^10*T2^10 - 1258*T1^11*T2^10 + 410*T1^12*T2^10 - 96*T1^5*T2^11 + 
     182*T1^6*T2^11 + 38*T1^7*T2^11 - 695*T1^8*T2^11 + 1213*T1^9*T2^11 - 
     1258*T1^10*T2^11 + 722*T1^11*T2^11 - 204*T1^12*T2^11 + 51*T1^6*T2^12 - 
     204*T1^7*T2^12 + 410*T1^8*T2^12 - 497*T1^9*T2^12 + 410*T1^10*T2^12 - 
     204*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 820] -> 
  {-((1 - 6*T + 12*T^2 - 17*T^3 + 19*T^4 - 17*T^5 + 12*T^6 - 6*T^7 + T^8)/
     T^4), -((-1 + 6*T1 - 12*T1^2 + 17*T1^3 - 19*T1^4 + 17*T1^5 - 12*T1^6 + 
      6*T1^7 - T1^8 + 6*T2 - 36*T1*T2 + 76*T1^2*T2 - 107*T1^3*T2 + 
      116*T1^4*T2 - 100*T1^5*T2 + 67*T1^6*T2 - 32*T1^7*T2 + 6*T1^8*T2 - 
      12*T2^2 + 76*T1*T2^2 - 153*T1^2*T2^2 + 157*T1^3*T2^2 - 107*T1^4*T2^2 + 
      23*T1^5*T2^2 + 61*T1^6*T2^2 - 107*T1^7*T2^2 + 111*T1^8*T2^2 - 
      68*T1^9*T2^2 + 12*T1^10*T2^2 + 17*T2^3 - 107*T1*T2^3 + 157*T1^2*T2^3 + 
      71*T1^3*T2^3 - 305*T1^4*T2^3 + 513*T1^5*T2^3 - 600*T1^6*T2^3 + 
      508*T1^7*T2^3 - 307*T1^8*T2^3 + 49*T1^9*T2^3 + 127*T1^10*T2^3 - 
      34*T1^11*T2^3 - 19*T2^4 + 116*T1*T2^4 - 107*T1^2*T2^4 - 305*T1^3*T2^4 + 
      305*T1^4*T2^4 - 251*T1^5*T2^4 + 11*T1^6*T2^4 + 341*T1^7*T2^4 - 
      571*T1^8*T2^4 + 647*T1^9*T2^4 - 419*T1^10*T2^4 - 136*T1^11*T2^4 + 
      57*T1^12*T2^4 + 17*T2^5 - 100*T1*T2^5 + 23*T1^2*T2^5 + 513*T1^3*T2^5 - 
      251*T1^4*T2^5 + 485*T1^5*T2^5 - 522*T1^6*T2^5 + 522*T1^7*T2^5 - 
      619*T1^8*T2^5 + 618*T1^9*T2^5 - 718*T1^10*T2^5 + 851*T1^11*T2^5 + 
      68*T1^12*T2^5 - 68*T1^13*T2^5 - 12*T2^6 + 67*T1*T2^6 + 61*T1^2*T2^6 - 
      600*T1^3*T2^6 + 11*T1^4*T2^6 - 522*T1^5*T2^6 + 238*T1^6*T2^6 + 
      44*T1^7*T2^6 - 266*T1^8*T2^6 + 582*T1^9*T2^6 - 541*T1^10*T2^6 + 
      336*T1^11*T2^6 - 1067*T1^12*T2^6 + 43*T1^13*T2^6 + 60*T1^14*T2^6 + 
      6*T2^7 - 32*T1*T2^7 - 107*T1^2*T2^7 + 508*T1^3*T2^7 + 341*T1^4*T2^7 + 
      522*T1^5*T2^7 + 44*T1^6*T2^7 - 17*T1^7*T2^7 - 83*T1^8*T2^7 + 
      87*T1^9*T2^7 - 402*T1^10*T2^7 + 580*T1^11*T2^7 + 251*T1^12*T2^7 + 
      937*T1^13*T2^7 - 140*T1^14*T2^7 - 36*T1^15*T2^7 - T2^8 + 6*T1*T2^8 + 
      111*T1^2*T2^8 - 307*T1^3*T2^8 - 571*T1^4*T2^8 - 619*T1^5*T2^8 - 
      266*T1^6*T2^8 - 83*T1^7*T2^8 + 144*T1^8*T2^8 - 45*T1^9*T2^8 + 
      168*T1^10*T2^8 - 85*T1^11*T2^8 - 647*T1^12*T2^8 - 729*T1^13*T2^8 - 
      513*T1^14*T2^8 + 174*T1^15*T2^8 + 7*T1^16*T2^8 - 68*T1^2*T2^9 + 
      49*T1^3*T2^9 + 647*T1^4*T2^9 + 618*T1^5*T2^9 + 582*T1^6*T2^9 + 
      87*T1^7*T2^9 - 45*T1^8*T2^9 - 111*T1^9*T2^9 + 130*T1^10*T2^9 - 
      342*T1^11*T2^9 + 857*T1^12*T2^9 + 390*T1^13*T2^9 + 1093*T1^14*T2^9 - 
      176*T1^15*T2^9 - 42*T1^16*T2^9 + 12*T1^2*T2^10 + 127*T1^3*T2^10 - 
      419*T1^4*T2^10 - 718*T1^5*T2^10 - 541*T1^6*T2^10 - 402*T1^7*T2^10 + 
      168*T1^8*T2^10 + 130*T1^9*T2^10 - 336*T1^10*T2^10 + 702*T1^11*T2^10 - 
      1093*T1^12*T2^10 + 218*T1^13*T2^10 - 1547*T1^14*T2^10 + 
      103*T1^15*T2^10 + 84*T1^16*T2^10 - 34*T1^3*T2^11 - 136*T1^4*T2^11 + 
      851*T1^5*T2^11 + 336*T1^6*T2^11 + 580*T1^7*T2^11 - 85*T1^8*T2^11 - 
      342*T1^9*T2^11 + 702*T1^10*T2^11 - 1189*T1^11*T2^11 + 
      1449*T1^12*T2^11 - 895*T1^13*T2^11 + 1679*T1^14*T2^11 + 
      32*T1^15*T2^11 - 119*T1^16*T2^11 + 57*T1^4*T2^12 + 68*T1^5*T2^12 - 
      1067*T1^6*T2^12 + 251*T1^7*T2^12 - 647*T1^8*T2^12 + 857*T1^9*T2^12 - 
      1093*T1^10*T2^12 + 1449*T1^11*T2^12 - 1523*T1^12*T2^12 + 
      1203*T1^13*T2^12 - 1379*T1^14*T2^12 - 184*T1^15*T2^12 + 
      133*T1^16*T2^12 - 68*T1^5*T2^13 + 43*T1^6*T2^13 + 937*T1^7*T2^13 - 
      729*T1^8*T2^13 + 390*T1^9*T2^13 + 218*T1^10*T2^13 - 895*T1^11*T2^13 + 
      1203*T1^12*T2^13 - 1107*T1^13*T2^13 + 829*T1^14*T2^13 + 
      277*T1^15*T2^13 - 119*T1^16*T2^13 + 60*T1^6*T2^14 - 140*T1^7*T2^14 - 
      513*T1^8*T2^14 + 1093*T1^9*T2^14 - 1547*T1^10*T2^14 + 
      1679*T1^11*T2^14 - 1379*T1^12*T2^14 + 829*T1^13*T2^14 - 
      249*T1^14*T2^14 - 284*T1^15*T2^14 + 84*T1^16*T2^14 - 36*T1^7*T2^15 + 
      174*T1^8*T2^15 - 176*T1^9*T2^15 + 103*T1^10*T2^15 + 32*T1^11*T2^15 - 
      184*T1^12*T2^15 + 277*T1^13*T2^15 - 284*T1^14*T2^15 + 216*T1^15*T2^15 - 
      42*T1^16*T2^15 + 7*T1^8*T2^16 - 42*T1^9*T2^16 + 84*T1^10*T2^16 - 
      119*T1^11*T2^16 + 133*T1^12*T2^16 - 119*T1^13*T2^16 + 84*T1^14*T2^16 - 
      42*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 821] -> 
  {-((1 - 3*T + 5*T^2 - 6*T^3 + 5*T^4 - 6*T^5 + 5*T^6 - 3*T^7 + T^8)/T^4), 
   -((-3 + 9*T1 - 15*T1^2 + 18*T1^3 - 15*T1^4 + 18*T1^5 - 15*T1^6 + 9*T1^7 - 
      3*T1^8 + 9*T2 - 21*T1*T2 + 27*T1^2*T2 - 24*T1^3*T2 + 9*T1^4*T2 - 
      24*T1^5*T2 + 9*T1^6*T2 + 3*T1^7*T2 - 9*T1^8*T2 + 6*T1^9*T2 - 15*T2^2 + 
      27*T1*T2^2 - 28*T1^2*T2^2 + 21*T1^3*T2^2 - T1^4*T2^2 + 42*T1^5*T2^2 - 
      T1^6*T2^2 - 9*T1^7*T2^2 + 12*T1^8*T2^2 - 3*T1^9*T2^2 - 5*T1^10*T2^2 + 
      18*T2^3 - 24*T1*T2^3 + 21*T1^2*T2^3 - 15*T1^3*T2^3 - 6*T1^4*T2^3 - 
      57*T1^5*T2^3 - 24*T1^6*T2^3 + 15*T1^7*T2^3 - 9*T1^8*T2^3 - 
      9*T1^9*T2^3 + 15*T1^10*T2^3 - 15*T2^4 + 9*T1*T2^4 - T1^2*T2^4 - 
      6*T1^3*T2^4 + 24*T1^4*T2^4 + 50*T1^5*T2^4 + 62*T1^6*T2^4 - 
      10*T1^7*T2^4 - 4*T1^8*T2^4 + 18*T1^9*T2^4 - 9*T1^10*T2^4 - 
      15*T1^11*T2^4 + 5*T1^12*T2^4 + 18*T2^5 - 24*T1*T2^5 + 42*T1^2*T2^5 - 
      57*T1^3*T2^5 + 50*T1^4*T2^5 - 137*T1^5*T2^5 + 3*T1^6*T2^5 - 
      72*T1^7*T2^5 + 43*T1^8*T2^5 - 25*T1^9*T2^5 + 18*T1^10*T2^5 - 
      3*T1^11*T2^5 + 21*T1^12*T2^5 - 12*T1^13*T2^5 - 15*T2^6 + 9*T1*T2^6 - 
      T1^2*T2^6 - 24*T1^3*T2^6 + 62*T1^4*T2^6 + 3*T1^5*T2^6 + 169*T1^6*T2^6 - 
      63*T1^7*T2^6 + 73*T1^8*T2^6 - 39*T1^9*T2^6 - 20*T1^10*T2^6 + 
      6*T1^11*T2^6 - 17*T1^12*T2^6 - 9*T1^13*T2^6 + 15*T1^14*T2^6 + 9*T2^7 + 
      3*T1*T2^7 - 9*T1^2*T2^7 + 15*T1^3*T2^7 - 10*T1^4*T2^7 - 72*T1^5*T2^7 - 
      63*T1^6*T2^7 - 98*T1^7*T2^7 + 46*T1^8*T2^7 - 33*T1^9*T2^7 + 
      69*T1^10*T2^7 + 5*T1^11*T2^7 + 6*T1^12*T2^7 + 21*T1^13*T2^7 - 
      9*T1^14*T2^7 - 12*T1^15*T2^7 - 3*T2^8 - 9*T1*T2^8 + 12*T1^2*T2^8 - 
      9*T1^3*T2^8 - 4*T1^4*T2^8 + 43*T1^5*T2^8 + 73*T1^6*T2^8 + 
      46*T1^7*T2^8 + 60*T1^8*T2^8 - 62*T1^9*T2^8 - 27*T1^10*T2^8 - 
      47*T1^11*T2^8 - 4*T1^12*T2^8 - 15*T1^13*T2^8 - 10*T1^14*T2^8 + 
      21*T1^15*T2^8 + 5*T1^16*T2^8 + 6*T1*T2^9 - 3*T1^2*T2^9 - 9*T1^3*T2^9 + 
      18*T1^4*T2^9 - 25*T1^5*T2^9 - 39*T1^6*T2^9 - 33*T1^7*T2^9 - 
      62*T1^8*T2^9 + 82*T1^9*T2^9 - 3*T1^10*T2^9 + 102*T1^11*T2^9 - 
      10*T1^12*T2^9 + 9*T1^13*T2^9 + 21*T1^14*T2^9 - 15*T1^15*T2^9 - 
      15*T1^16*T2^9 - 5*T1^2*T2^10 + 15*T1^3*T2^10 - 9*T1^4*T2^10 + 
      18*T1^5*T2^10 - 20*T1^6*T2^10 + 69*T1^7*T2^10 - 27*T1^8*T2^10 - 
      3*T1^9*T2^10 - 123*T1^10*T2^10 + 27*T1^11*T2^10 - 102*T1^12*T2^10 + 
      48*T1^13*T2^10 - 25*T1^14*T2^10 - 3*T1^15*T2^10 + 25*T1^16*T2^10 - 
      15*T1^4*T2^11 - 3*T1^5*T2^11 + 6*T1^6*T2^11 + 5*T1^7*T2^11 - 
      47*T1^8*T2^11 + 102*T1^9*T2^11 + 27*T1^10*T2^11 + 133*T1^11*T2^11 - 
      70*T1^12*T2^11 + 81*T1^13*T2^11 - 48*T1^14*T2^11 + 30*T1^15*T2^11 - 
      30*T1^16*T2^11 + 5*T1^4*T2^12 + 21*T1^5*T2^12 - 17*T1^6*T2^12 + 
      6*T1^7*T2^12 - 4*T1^8*T2^12 - 10*T1^9*T2^12 - 102*T1^10*T2^12 - 
      70*T1^11*T2^12 - 32*T1^12*T2^12 + 30*T1^13*T2^12 - 25*T1^14*T2^12 - 
      3*T1^15*T2^12 + 25*T1^16*T2^12 - 12*T1^5*T2^13 - 9*T1^6*T2^13 + 
      21*T1^7*T2^13 - 15*T1^8*T2^13 + 9*T1^9*T2^13 + 48*T1^10*T2^13 + 
      81*T1^11*T2^13 + 30*T1^12*T2^13 - 9*T1^13*T2^13 - 9*T1^14*T2^13 + 
      30*T1^15*T2^13 - 30*T1^16*T2^13 + 15*T1^6*T2^14 - 9*T1^7*T2^14 - 
      10*T1^8*T2^14 + 21*T1^9*T2^14 - 25*T1^10*T2^14 - 48*T1^11*T2^14 - 
      25*T1^12*T2^14 - 9*T1^13*T2^14 + 30*T1^14*T2^14 - 39*T1^15*T2^14 + 
      25*T1^16*T2^14 - 12*T1^7*T2^15 + 21*T1^8*T2^15 - 15*T1^9*T2^15 - 
      3*T1^10*T2^15 + 30*T1^11*T2^15 - 3*T1^12*T2^15 + 30*T1^13*T2^15 - 
      39*T1^14*T2^15 + 33*T1^15*T2^15 - 15*T1^16*T2^15 + 5*T1^8*T2^16 - 
      15*T1^9*T2^16 + 25*T1^10*T2^16 - 30*T1^11*T2^16 + 25*T1^12*T2^16 - 
      30*T1^13*T2^16 + 25*T1^14*T2^16 - 15*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 822] -> 
  {-((1 - 3*T + 6*T^2 - 11*T^3 + 13*T^4 - 11*T^5 + 6*T^6 - 3*T^7 + T^8)/T^4), 
   -((-5 + 15*T1 - 30*T1^2 + 55*T1^3 - 65*T1^4 + 55*T1^5 - 30*T1^6 + 
      15*T1^7 - 5*T1^8 + 15*T2 - 33*T1*T2 + 54*T1^2*T2 - 93*T1^3*T2 + 
      63*T1^4*T2 - 9*T1^5*T2 - 42*T1^6*T2 + 27*T1^7*T2 - 21*T1^8*T2 + 
      12*T1^9*T2 - 30*T2^2 + 54*T1*T2^2 - 91*T1^2*T2^2 + 173*T1^3*T2^2 - 
      109*T1^4*T2^2 + 67*T1^5*T2^2 - 25*T1^6*T2^2 + 77*T1^7*T2^2 - 
      31*T1^8*T2^2 + 18*T1^9*T2^2 - 18*T1^10*T2^2 + 55*T2^3 - 93*T1*T2^3 + 
      173*T1^2*T2^3 - 331*T1^3*T2^3 + 193*T1^4*T2^3 - 135*T1^5*T2^3 - 
      6*T1^6*T2^3 - 29*T1^7*T2^3 - 97*T1^8*T2^3 + 47*T1^9*T2^3 - 
      12*T1^10*T2^3 + 22*T1^11*T2^3 - 65*T2^4 + 63*T1*T2^4 - 109*T1^2*T2^4 + 
      193*T1^3*T2^4 + 175*T1^4*T2^4 - 214*T1^5*T2^4 + 355*T1^6*T2^4 - 
      168*T1^7*T2^4 + 271*T1^8*T2^4 - 49*T1^9*T2^4 + 5*T1^10*T2^4 - 
      27*T1^11*T2^4 - 13*T1^12*T2^4 + 55*T2^5 - 9*T1*T2^5 + 67*T1^2*T2^5 - 
      135*T1^3*T2^5 - 214*T1^4*T2^5 - 70*T1^5*T2^5 - 34*T1^6*T2^5 - 
      124*T1^7*T2^5 - 160*T1^8*T2^5 - 119*T1^9*T2^5 + 32*T1^10*T2^5 + 
      22*T1^11*T2^5 + 39*T1^12*T2^5 - 30*T2^6 - 42*T1*T2^6 - 25*T1^2*T2^6 - 
      6*T1^3*T2^6 + 355*T1^4*T2^6 - 34*T1^5*T2^6 + 484*T1^6*T2^6 - 
      494*T1^7*T2^6 + 700*T1^8*T2^6 - 94*T1^9*T2^6 + 151*T1^10*T2^6 - 
      78*T1^11*T2^6 - 49*T1^12*T2^6 - 18*T1^13*T2^6 + 6*T1^14*T2^6 + 
      15*T2^7 + 27*T1*T2^7 + 77*T1^2*T2^7 - 29*T1^3*T2^7 - 168*T1^4*T2^7 - 
      124*T1^5*T2^7 - 494*T1^6*T2^7 + 416*T1^7*T2^7 - 376*T1^8*T2^7 - 
      277*T1^9*T2^7 + 26*T1^10*T2^7 - 67*T1^11*T2^7 + 113*T1^12*T2^7 + 
      23*T1^13*T2^7 - 6*T1^15*T2^7 - 5*T2^8 - 21*T1*T2^8 - 31*T1^2*T2^8 - 
      97*T1^3*T2^8 + 271*T1^4*T2^8 - 160*T1^5*T2^8 + 700*T1^6*T2^8 - 
      376*T1^7*T2^8 + 72*T1^8*T2^8 + 412*T1^9*T2^8 - 54*T1^10*T2^8 + 
      80*T1^11*T2^8 - 81*T1^12*T2^8 - 51*T1^13*T2^8 - T1^14*T2^8 + 
      9*T1^15*T2^8 + 3*T1^16*T2^8 + 12*T1*T2^9 + 18*T1^2*T2^9 + 
      47*T1^3*T2^9 - 49*T1^4*T2^9 - 119*T1^5*T2^9 - 94*T1^6*T2^9 - 
      277*T1^7*T2^9 + 412*T1^8*T2^9 - 380*T1^9*T2^9 - 60*T1^10*T2^9 + 
      56*T1^11*T2^9 - 18*T1^12*T2^9 + 93*T1^13*T2^9 - 7*T1^14*T2^9 - 
      9*T1^15*T2^9 - 9*T1^16*T2^9 - 18*T1^2*T2^10 - 12*T1^3*T2^10 + 
      5*T1^4*T2^10 + 32*T1^5*T2^10 + 151*T1^6*T2^10 + 26*T1^7*T2^10 - 
      54*T1^8*T2^10 - 60*T1^9*T2^10 + 162*T1^10*T2^10 - 34*T1^11*T2^10 - 
      53*T1^12*T2^10 - 40*T1^13*T2^10 - 19*T1^14*T2^10 + 12*T1^15*T2^10 + 
      18*T1^16*T2^10 + 22*T1^3*T2^11 - 27*T1^4*T2^11 + 22*T1^5*T2^11 - 
      78*T1^6*T2^11 - 67*T1^7*T2^11 + 80*T1^8*T2^11 + 56*T1^9*T2^11 - 
      34*T1^10*T2^11 - 10*T1^11*T2^11 + 28*T1^12*T2^11 + 89*T1^13*T2^11 - 
      23*T1^14*T2^11 + 21*T1^15*T2^11 - 33*T1^16*T2^11 - 13*T1^4*T2^12 + 
      39*T1^5*T2^12 - 49*T1^6*T2^12 + 113*T1^7*T2^12 - 81*T1^8*T2^12 - 
      18*T1^9*T2^12 - 53*T1^10*T2^12 + 28*T1^11*T2^12 + 15*T1^12*T2^12 - 
      129*T1^13*T2^12 + 65*T1^14*T2^12 - 51*T1^15*T2^12 + 39*T1^16*T2^12 - 
      18*T1^6*T2^13 + 23*T1^7*T2^13 - 51*T1^8*T2^13 + 93*T1^9*T2^13 - 
      40*T1^10*T2^13 + 89*T1^11*T2^13 - 129*T1^12*T2^13 + 183*T1^13*T2^13 - 
      103*T1^14*T2^13 + 63*T1^15*T2^13 - 33*T1^16*T2^13 + 6*T1^6*T2^14 - 
      T1^8*T2^14 - 7*T1^9*T2^14 - 19*T1^10*T2^14 - 23*T1^11*T2^14 + 
      65*T1^12*T2^14 - 103*T1^13*T2^14 + 59*T1^14*T2^14 - 36*T1^15*T2^14 + 
      18*T1^16*T2^14 - 6*T1^7*T2^15 + 9*T1^8*T2^15 - 9*T1^9*T2^15 + 
      12*T1^10*T2^15 + 21*T1^11*T2^15 - 51*T1^12*T2^15 + 63*T1^13*T2^15 - 
      36*T1^14*T2^15 + 21*T1^15*T2^15 - 9*T1^16*T2^15 + 3*T1^8*T2^16 - 
      9*T1^9*T2^16 + 18*T1^10*T2^16 - 33*T1^11*T2^16 + 39*T1^12*T2^16 - 
      33*T1^13*T2^16 + 18*T1^14*T2^16 - 9*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 823] -> 
  {-((2 - 12*T + 24*T^2 - 29*T^3 + 24*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-7 + 42*T1 - 85*T1^2 + 103*T1^3 - 85*T1^4 + 42*T1^5 - 7*T1^6 + 42*T2 - 
      258*T1*T2 + 570*T1^2*T2 - 704*T1^3*T2 + 568*T1^4*T2 - 294*T1^5*T2 + 
      78*T1^6*T2 - 6*T1^7*T2 - 85*T2^2 + 570*T1*T2^2 - 1286*T1^2*T2^2 + 
      1139*T1^3*T2^2 - 294*T1^4*T2^2 - 493*T1^5*T2^2 + 826*T1^6*T2^2 - 
      582*T1^7*T2^2 + 107*T1^8*T2^2 + 103*T2^3 - 704*T1*T2^3 + 
      1139*T1^2*T2^3 + 1356*T1^3*T2^3 - 4123*T1^4*T2^3 + 4877*T1^5*T2^3 - 
      3618*T1^6*T2^3 + 995*T1^7*T2^3 + 808*T1^8*T2^3 - 245*T1^9*T2^3 - 
      85*T2^4 + 568*T1*T2^4 - 294*T1^2*T2^4 - 4123*T1^3*T2^4 + 
      4794*T1^4*T2^4 - 1336*T1^5*T2^4 - 2814*T1^6*T2^4 + 5621*T1^7*T2^4 - 
      4038*T1^8*T2^4 - 344*T1^9*T2^4 + 299*T1^10*T2^4 + 42*T2^5 - 
      294*T1*T2^5 - 493*T1^2*T2^5 + 4877*T1^3*T2^5 - 1336*T1^4*T2^5 - 
      3240*T1^5*T2^5 + 4224*T1^6*T2^5 - 2488*T1^7*T2^5 - 2635*T1^8*T2^5 + 
      5603*T1^9*T2^5 - 582*T1^10*T2^5 - 198*T1^11*T2^5 - 7*T2^6 + 
      78*T1*T2^6 + 826*T1^2*T2^6 - 3618*T1^3*T2^6 - 2814*T1^4*T2^6 + 
      4224*T1^5*T2^6 - 624*T1^6*T2^6 - 2976*T1^7*T2^6 + 6402*T1^8*T2^6 - 
      4314*T1^9*T2^6 - 3206*T1^10*T2^6 + 942*T1^11*T2^6 + 41*T1^12*T2^6 - 
      6*T1*T2^7 - 582*T1^2*T2^7 + 995*T1^3*T2^7 + 5621*T1^4*T2^7 - 
      2488*T1^5*T2^7 - 2976*T1^6*T2^7 + 4488*T1^7*T2^7 - 3640*T1^8*T2^7 - 
      1891*T1^9*T2^7 + 7091*T1^10*T2^7 - 870*T1^11*T2^7 - 246*T1^12*T2^7 + 
      107*T1^2*T2^8 + 808*T1^3*T2^8 - 4038*T1^4*T2^8 - 2635*T1^5*T2^8 + 
      6402*T1^6*T2^8 - 3640*T1^7*T2^8 - 1206*T1^8*T2^8 + 7109*T1^9*T2^8 - 
      7782*T1^10*T2^8 - 104*T1^11*T2^8 + 491*T1^12*T2^8 - 245*T1^3*T2^9 - 
      344*T1^4*T2^9 + 5603*T1^5*T2^9 - 4314*T1^6*T2^9 - 1891*T1^7*T2^9 + 
      7109*T1^8*T2^9 - 9288*T1^9*T2^9 + 5459*T1^10*T2^9 + 1168*T1^11*T2^9 - 
      593*T1^12*T2^9 + 299*T1^4*T2^10 - 582*T1^5*T2^10 - 3206*T1^6*T2^10 + 
      7091*T1^7*T2^10 - 7782*T1^8*T2^10 + 5459*T1^9*T2^10 - 
      1094*T1^10*T2^10 - 1734*T1^11*T2^10 + 491*T1^12*T2^10 - 
      198*T1^5*T2^11 + 942*T1^6*T2^11 - 870*T1^7*T2^11 - 104*T1^8*T2^11 + 
      1168*T1^9*T2^11 - 1734*T1^10*T2^11 + 1278*T1^11*T2^11 - 
      246*T1^12*T2^11 + 41*T1^6*T2^12 - 246*T1^7*T2^12 + 491*T1^8*T2^12 - 
      593*T1^9*T2^12 + 491*T1^10*T2^12 - 246*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 824] -> 
  {-((2 - 7*T + 14*T^2 - 19*T^3 + 14*T^4 - 7*T^5 + 2*T^6)/T^3), 
   -((-23 + 81*T1 - 163*T1^2 + 221*T1^3 - 163*T1^4 + 81*T1^5 - 23*T1^6 + 
      81*T2 - 232*T1*T2 + 386*T1^2*T2 - 400*T1^3*T2 + 62*T1^4*T2 + 
      92*T1^5*T2 - 106*T1^6*T2 + 53*T1^7*T2 - 163*T2^2 + 386*T1*T2^2 - 
      585*T1^2*T2^2 + 543*T1^3*T2^2 + 123*T1^4*T2^2 - 129*T1^5*T2^2 + 
      87*T1^6*T2^2 - 6*T1^7*T2^2 - 51*T1^8*T2^2 + 221*T2^3 - 400*T1*T2^3 + 
      543*T1^2*T2^3 - 356*T1^3*T2^3 - 653*T1^4*T2^3 + 187*T1^5*T2^3 - 
      20*T1^6*T2^3 - 171*T1^7*T2^3 + 202*T1^8*T2^3 - 7*T1^9*T2^3 - 163*T2^4 + 
      62*T1*T2^4 + 123*T1^2*T2^4 - 653*T1^3*T2^4 + 1564*T1^4*T2^4 - 
      60*T1^5*T2^4 - 284*T1^6*T2^4 + 411*T1^7*T2^4 - 171*T1^8*T2^4 - 
      190*T1^9*T2^4 + 61*T1^10*T2^4 + 81*T2^5 + 92*T1*T2^5 - 129*T1^2*T2^5 + 
      187*T1^3*T2^5 - 60*T1^4*T2^5 - 1914*T1^5*T2^5 + 1320*T1^6*T2^5 - 
      452*T1^7*T2^5 - 205*T1^8*T2^5 + 417*T1^9*T2^5 - 6*T1^10*T2^5 - 
      59*T1^11*T2^5 - 23*T2^6 - 106*T1*T2^6 + 87*T1^2*T2^6 - 20*T1^3*T2^6 - 
      284*T1^4*T2^6 + 1320*T1^5*T2^6 + 120*T1^6*T2^6 - 1200*T1^7*T2^6 + 
      1032*T1^8*T2^6 - 476*T1^9*T2^6 - 165*T1^10*T2^6 + 118*T1^11*T2^6 + 
      25*T1^12*T2^6 + 53*T1*T2^7 - 6*T1^2*T2^7 - 171*T1^3*T2^7 + 
      411*T1^4*T2^7 - 452*T1^5*T2^7 - 1200*T1^6*T2^7 + 2034*T1^7*T2^7 - 
      844*T1^8*T2^7 + 19*T1^9*T2^7 + 375*T1^10*T2^7 - 104*T1^11*T2^7 - 
      87*T1^12*T2^7 - 51*T1^2*T2^8 + 202*T1^3*T2^8 - 171*T1^4*T2^8 - 
      205*T1^5*T2^8 + 1032*T1^6*T2^8 - 844*T1^7*T2^8 - 816*T1^8*T2^8 + 
      859*T1^9*T2^8 - 465*T1^10*T2^8 - 50*T1^11*T2^8 + 173*T1^12*T2^8 - 
      7*T1^3*T2^9 - 190*T1^4*T2^9 + 417*T1^5*T2^9 - 476*T1^6*T2^9 + 
      19*T1^7*T2^9 + 859*T1^8*T2^9 - 140*T1^9*T2^9 - 297*T1^10*T2^9 + 
      412*T1^11*T2^9 - 235*T1^12*T2^9 + 61*T1^4*T2^10 - 6*T1^5*T2^10 - 
      165*T1^6*T2^10 + 375*T1^7*T2^10 - 465*T1^8*T2^10 - 297*T1^9*T2^10 + 
      507*T1^10*T2^10 - 398*T1^11*T2^10 + 173*T1^12*T2^10 - 59*T1^5*T2^11 + 
      118*T1^6*T2^11 - 104*T1^7*T2^11 - 50*T1^8*T2^11 + 412*T1^9*T2^11 - 
      398*T1^10*T2^11 + 244*T1^11*T2^11 - 87*T1^12*T2^11 + 25*T1^6*T2^12 - 
      87*T1^7*T2^12 + 173*T1^8*T2^12 - 235*T1^9*T2^12 + 173*T1^10*T2^12 - 
      87*T1^11*T2^12 + 25*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 825] -> 
  {-(((1 - T + T^2)*(2 - 4*T + 3*T^2 - 4*T^3 + 2*T^4))/T^3), 
   -((-25 + 75*T1 - 113*T1^2 + 139*T1^3 - 113*T1^4 + 75*T1^5 - 25*T1^6 + 
      75*T2 - 174*T1*T2 + 186*T1^2*T2 - 186*T1^3*T2 + 54*T1^4*T2 + 
      6*T1^5*T2 - 78*T1^6*T2 + 51*T1^7*T2 - 113*T2^2 + 186*T1*T2^2 - 
      105*T1^2*T2^2 + 107*T1^3*T2^2 + 91*T1^4*T2^2 - 73*T1^5*T2^2 + 
      147*T1^6*T2^2 - 30*T1^7*T2^2 - 41*T1^8*T2^2 + 139*T2^3 - 186*T1*T2^3 + 
      107*T1^2*T2^3 - 218*T1^3*T2^3 - 70*T1^4*T2^3 + 20*T1^5*T2^3 - 
      170*T1^6*T2^3 - 55*T1^7*T2^3 + 102*T1^8*T2^3 + 7*T1^9*T2^3 - 113*T2^4 + 
      54*T1*T2^4 + 91*T1^2*T2^4 - 70*T1^3*T2^4 + 583*T1^4*T2^4 - 
      405*T1^5*T2^4 + 427*T1^6*T2^4 + 62*T1^7*T2^4 - 53*T1^8*T2^4 - 
      114*T1^9*T2^4 + 31*T1^10*T2^4 + 75*T2^5 + 6*T1*T2^5 - 73*T1^2*T2^5 + 
      20*T1^3*T2^5 - 405*T1^4*T2^5 - 37*T1^5*T2^5 - 7*T1^6*T2^5 - 
      324*T1^7*T2^5 + 14*T1^8*T2^5 + 161*T1^9*T2^5 + 42*T1^10*T2^5 - 
      45*T1^11*T2^5 - 25*T2^6 - 78*T1*T2^6 + 147*T1^2*T2^6 - 170*T1^3*T2^6 + 
      427*T1^4*T2^6 - 7*T1^5*T2^6 + 144*T1^6*T2^6 + 47*T1^7*T2^6 + 
      193*T1^8*T2^6 - 110*T1^9*T2^6 - 177*T1^10*T2^6 + 66*T1^11*T2^6 + 
      23*T1^12*T2^6 + 51*T1*T2^7 - 30*T1^2*T2^7 - 55*T1^3*T2^7 + 
      62*T1^4*T2^7 - 324*T1^5*T2^7 + 47*T1^6*T2^7 + 77*T1^7*T2^7 - 
      243*T1^8*T2^7 + 56*T1^9*T2^7 + 179*T1^10*T2^7 + 6*T1^11*T2^7 - 
      69*T1^12*T2^7 - 41*T1^2*T2^8 + 102*T1^3*T2^8 - 53*T1^4*T2^8 + 
      14*T1^5*T2^8 + 193*T1^6*T2^8 - 243*T1^7*T2^8 + 37*T1^8*T2^8 + 
      146*T1^9*T2^8 - 197*T1^10*T2^8 - 66*T1^11*T2^8 + 103*T1^12*T2^8 + 
      7*T1^3*T2^9 - 114*T1^4*T2^9 + 161*T1^5*T2^9 - 110*T1^6*T2^9 + 
      56*T1^7*T2^9 + 146*T1^8*T2^9 - 62*T1^9*T2^9 - T1^10*T2^9 + 
      174*T1^11*T2^9 - 125*T1^12*T2^9 + 31*T1^4*T2^10 + 42*T1^5*T2^10 - 
      177*T1^6*T2^10 + 179*T1^7*T2^10 - 197*T1^8*T2^10 - T1^9*T2^10 + 
      75*T1^10*T2^10 - 174*T1^11*T2^10 + 103*T1^12*T2^10 - 45*T1^5*T2^11 + 
      66*T1^6*T2^11 + 6*T1^7*T2^11 - 66*T1^8*T2^11 + 174*T1^9*T2^11 - 
      174*T1^10*T2^11 + 162*T1^11*T2^11 - 69*T1^12*T2^11 + 23*T1^6*T2^12 - 
      69*T1^7*T2^12 + 103*T1^8*T2^12 - 125*T1^9*T2^12 + 103*T1^10*T2^12 - 
      69*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 826] -> 
  {((1 - T + T^2)*(1 - 8*T + 15*T^2 - 8*T^3 + T^4))/T^3, 
   (-4 + 36*T1 - 96*T1^2 + 124*T1^3 - 96*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     299*T1*T2 + 622*T1^2*T2 - 465*T1^3*T2 + 30*T1^4*T2 + 325*T1^5*T2 - 
     209*T1^6*T2 + 27*T1^7*T2 - 96*T2^2 + 622*T1*T2^2 - 95*T1^2*T2^2 - 
     2601*T1^3*T2^2 + 4249*T1^4*T2^2 - 3657*T1^5*T2^2 + 1009*T1^6*T2^2 + 
     190*T1^7*T2^2 - 48*T1^8*T2^2 + 124*T2^3 - 465*T1*T2^3 - 2601*T1^2*T2^3 + 
     8121*T1^3*T2^3 - 7042*T1^4*T2^3 + 1769*T1^5*T2^3 + 3969*T1^6*T2^3 - 
     2673*T1^7*T2^3 + 156*T1^8*T2^3 + 31*T1^9*T2^3 - 96*T2^4 + 30*T1*T2^4 + 
     4249*T1^2*T2^4 - 7042*T1^3*T2^4 - 2011*T1^4*T2^4 + 10197*T1^5*T2^4 - 
     12079*T1^6*T2^4 + 2816*T1^7*T2^4 + 1531*T1^8*T2^4 - 276*T1^9*T2^4 + 
     36*T2^5 + 325*T1*T2^5 - 3657*T1^2*T2^5 + 1769*T1^3*T2^5 + 
     10197*T1^4*T2^5 - 13049*T1^5*T2^5 + 6937*T1^6*T2^5 + 5301*T1^7*T2^5 - 
     4948*T1^8*T2^5 + 351*T1^9*T2^5 + 82*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     209*T1*T2^6 + 1009*T1^2*T2^6 + 3969*T1^3*T2^6 - 12079*T1^4*T2^6 + 
     6937*T1^5*T2^6 + 3492*T1^6*T2^6 - 11009*T1^7*T2^6 + 4517*T1^8*T2^6 + 
     1191*T1^9*T2^6 - 611*T1^10*T2^6 + 61*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 190*T1^2*T2^7 - 2673*T1^3*T2^7 + 2816*T1^4*T2^7 + 
     5301*T1^5*T2^7 - 11009*T1^6*T2^7 + 8977*T1^7*T2^7 + 405*T1^8*T2^7 - 
     3901*T1^9*T2^7 + 1335*T1^10*T2^7 - 53*T1^11*T2^7 - 18*T1^12*T2^7 - 
     48*T1^2*T2^8 + 156*T1^3*T2^8 + 1531*T1^4*T2^8 - 4948*T1^5*T2^8 + 
     4517*T1^6*T2^8 + 405*T1^7*T2^8 - 5551*T1^8*T2^8 + 4910*T1^9*T2^8 - 
     1187*T1^10*T2^8 - 150*T1^11*T2^8 + 48*T1^12*T2^8 + 31*T1^3*T2^9 - 
     276*T1^4*T2^9 + 351*T1^5*T2^9 + 1191*T1^6*T2^9 - 3901*T1^7*T2^9 + 
     4910*T1^8*T2^9 - 2961*T1^9*T2^9 + 279*T1^10*T2^9 + 345*T1^11*T2^9 - 
     62*T1^12*T2^9 + 82*T1^5*T2^10 - 611*T1^6*T2^10 + 1335*T1^7*T2^10 - 
     1187*T1^8*T2^10 + 279*T1^9*T2^10 + 493*T1^10*T2^10 - 350*T1^11*T2^10 + 
     48*T1^12*T2^10 - 9*T1^5*T2^11 + 61*T1^6*T2^11 - 53*T1^7*T2^11 - 
     150*T1^8*T2^11 + 345*T1^9*T2^11 - 350*T1^10*T2^11 + 151*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 48*T1^8*T2^12 - 
     62*T1^9*T2^12 + 48*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 827] -> 
  {-((1 - 5*T + 14*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 14*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 70*T1^2 + 125*T1^3 - 145*T1^4 + 125*T1^5 - 
      70*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 250*T1^2*T2 - 
      345*T1^3*T2 + 225*T1^4*T2 - 45*T1^5*T2 - 150*T1^6*T2 + 155*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 70*T2^2 + 250*T1*T2^2 - 518*T1^2*T2^2 + 
      545*T1^3*T2^2 - 85*T1^4*T2^2 - 146*T1^5*T2^2 + 335*T1^6*T2^2 - 
      15*T1^7*T2^2 - 154*T1^8*T2^2 + 110*T1^9*T2^2 - 42*T1^10*T2^2 + 
      125*T2^3 - 345*T1*T2^3 + 545*T1^2*T2^3 - 165*T1^3*T2^3 - 
      750*T1^4*T2^3 + 493*T1^5*T2^3 - 362*T1^6*T2^3 - 570*T1^7*T2^3 + 
      455*T1^8*T2^3 - 85*T1^9*T2^3 - 40*T1^10*T2^3 + 50*T1^11*T2^3 - 
      145*T2^4 + 225*T1*T2^4 - 85*T1^2*T2^4 - 750*T1^3*T2^4 + 
      1373*T1^4*T2^4 + 426*T1^5*T2^4 - 835*T1^6*T2^4 + 1856*T1^7*T2^4 - 
      379*T1^8*T2^4 - 400*T1^9*T2^4 + 289*T1^10*T2^4 - 105*T1^11*T2^4 - 
      29*T1^12*T2^4 + 125*T2^5 - 45*T1*T2^5 - 146*T1^2*T2^5 + 493*T1^3*T2^5 + 
      426*T1^4*T2^5 - 3520*T1^5*T2^5 + 2417*T1^6*T2^5 - 1893*T1^7*T2^5 - 
      1410*T1^8*T2^5 + 1461*T1^9*T2^5 - 372*T1^10*T2^5 - 71*T1^11*T2^5 + 
      145*T1^12*T2^5 - 70*T2^6 - 150*T1*T2^6 + 335*T1^2*T2^6 - 
      362*T1^3*T2^6 - 835*T1^4*T2^6 + 2417*T1^5*T2^6 + 1611*T1^6*T2^6 - 
      2823*T1^7*T2^6 + 4883*T1^8*T2^6 - 1923*T1^9*T2^6 - 343*T1^10*T2^6 + 
      478*T1^11*T2^6 - 177*T1^12*T2^6 - 70*T1^13*T2^6 + 14*T1^14*T2^6 + 
      25*T2^7 + 155*T1*T2^7 - 15*T1^2*T2^7 - 570*T1^3*T2^7 + 1856*T1^4*T2^7 - 
      1893*T1^5*T2^7 - 2823*T1^6*T2^7 + 2548*T1^7*T2^7 - 2092*T1^8*T2^7 - 
      1638*T1^9*T2^7 + 2357*T1^10*T2^7 - 759*T1^11*T2^7 - 70*T1^12*T2^7 + 
      195*T1^13*T2^7 - 20*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 
      154*T1^2*T2^8 + 455*T1^3*T2^8 - 379*T1^4*T2^8 - 1410*T1^5*T2^8 + 
      4883*T1^6*T2^8 - 2092*T1^7*T2^8 - 516*T1^8*T2^8 + 2888*T1^9*T2^8 - 
      1803*T1^10*T2^8 - 610*T1^11*T2^8 + 829*T1^12*T2^8 - 315*T1^13*T2^8 - 
      8*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      110*T1^2*T2^9 - 85*T1^3*T2^9 - 400*T1^4*T2^9 + 1461*T1^5*T2^9 - 
      1923*T1^6*T2^9 - 1638*T1^7*T2^9 + 2888*T1^8*T2^9 - 1752*T1^9*T2^9 - 
      453*T1^10*T2^9 + 2327*T1^11*T2^9 - 1154*T1^12*T2^9 + 100*T1^13*T2^9 + 
      125*T1^14*T2^9 - 65*T1^15*T2^9 - 15*T1^16*T2^9 - 42*T1^2*T2^10 - 
      40*T1^3*T2^10 + 289*T1^4*T2^10 - 372*T1^5*T2^10 - 343*T1^6*T2^10 + 
      2357*T1^7*T2^10 - 1803*T1^8*T2^10 - 453*T1^9*T2^10 + 1469*T1^10*T2^10 - 
      1983*T1^11*T2^10 + 149*T1^12*T2^10 + 468*T1^13*T2^10 - 
      223*T1^14*T2^10 + 40*T1^15*T2^10 + 42*T1^16*T2^10 + 50*T1^3*T2^11 - 
      105*T1^4*T2^11 - 71*T1^5*T2^11 + 478*T1^6*T2^11 - 759*T1^7*T2^11 - 
      610*T1^8*T2^11 + 2327*T1^9*T2^11 - 1983*T1^10*T2^11 + 
      1500*T1^11*T2^11 + 276*T1^12*T2^11 - 387*T1^13*T2^11 + 4*T1^14*T2^11 + 
      85*T1^15*T2^11 - 75*T1^16*T2^11 - 29*T1^4*T2^12 + 145*T1^5*T2^12 - 
      177*T1^6*T2^12 - 70*T1^7*T2^12 + 829*T1^8*T2^12 - 1154*T1^9*T2^12 + 
      149*T1^10*T2^12 + 276*T1^11*T2^12 - 923*T1^12*T2^12 + 280*T1^13*T2^12 + 
      197*T1^14*T2^12 - 185*T1^15*T2^12 + 87*T1^16*T2^12 - 70*T1^6*T2^13 + 
      195*T1^7*T2^13 - 315*T1^8*T2^13 + 100*T1^9*T2^13 + 468*T1^10*T2^13 - 
      387*T1^11*T2^13 + 280*T1^12*T2^13 + 305*T1^13*T2^13 - 435*T1^14*T2^13 + 
      235*T1^15*T2^13 - 75*T1^16*T2^13 + 14*T1^6*T2^14 - 20*T1^7*T2^14 - 
      8*T1^8*T2^14 + 125*T1^9*T2^14 - 223*T1^10*T2^14 + 4*T1^11*T2^14 + 
      197*T1^12*T2^14 - 435*T1^13*T2^14 + 356*T1^14*T2^14 - 160*T1^15*T2^14 + 
      42*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 65*T1^9*T2^15 + 
      40*T1^10*T2^15 + 85*T1^11*T2^15 - 185*T1^12*T2^15 + 235*T1^13*T2^15 - 
      160*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 42*T1^10*T2^16 - 75*T1^11*T2^16 + 87*T1^12*T2^16 - 
      75*T1^13*T2^16 + 42*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 828] -> 
  {-((3 - 12*T + 24*T^2 - 31*T^3 + 24*T^4 - 12*T^5 + 3*T^6)/T^3), 
   -((-84 + 336*T1 - 673*T1^2 + 870*T1^3 - 673*T1^4 + 336*T1^5 - 84*T1^6 + 
      336*T2 - 1114*T1*T2 + 1776*T1^2*T2 - 1651*T1^3*T2 + 329*T1^4*T2 + 
      480*T1^5*T2 - 574*T1^6*T2 + 228*T1^7*T2 - 673*T2^2 + 1776*T1*T2^2 - 
      2004*T1^2*T2^2 + 695*T1^3*T2^2 + 2046*T1^4*T2^2 - 2041*T1^5*T2^2 + 
      1020*T1^6*T2^2 + 48*T1^7*T2^2 - 241*T1^8*T2^2 + 870*T2^3 - 
      1651*T1*T2^3 + 695*T1^2*T2^3 + 1681*T1^3*T2^3 - 4336*T1^4*T2^3 + 
      1460*T1^5*T2^3 + 799*T1^6*T2^3 - 1681*T1^7*T2^3 + 833*T1^8*T2^3 + 
      33*T1^9*T2^3 - 673*T2^4 + 329*T1*T2^4 + 2046*T1^2*T2^4 - 
      4336*T1^3*T2^4 + 4508*T1^4*T2^4 + 1806*T1^5*T2^4 - 3580*T1^6*T2^4 + 
      2360*T1^7*T2^4 + 30*T1^8*T2^4 - 895*T1^9*T2^4 + 191*T1^10*T2^4 + 
      336*T2^5 + 480*T1*T2^5 - 2041*T1^2*T2^5 + 1460*T1^3*T2^5 + 
      1806*T1^4*T2^5 - 7638*T1^5*T2^5 + 4878*T1^6*T2^5 + 78*T1^7*T2^5 - 
      2536*T1^8*T2^5 + 1775*T1^9*T2^5 + 48*T1^10*T2^5 - 204*T1^11*T2^5 - 
      84*T2^6 - 574*T1*T2^6 + 1020*T1^2*T2^6 + 799*T1^3*T2^6 - 
      3580*T1^4*T2^6 + 4878*T1^5*T2^6 + 1044*T1^6*T2^6 - 5562*T1^7*T2^6 + 
      4052*T1^8*T2^6 - 875*T1^9*T2^6 - 1140*T1^10*T2^6 + 506*T1^11*T2^6 + 
      78*T1^12*T2^6 + 228*T1*T2^7 + 48*T1^2*T2^7 - 1681*T1^3*T2^7 + 
      2360*T1^4*T2^7 + 78*T1^5*T2^7 - 5562*T1^6*T2^7 + 6954*T1^7*T2^7 - 
      1650*T1^8*T2^7 - 1636*T1^9*T2^7 + 2135*T1^10*T2^7 - 384*T1^11*T2^7 - 
      312*T1^12*T2^7 - 241*T1^2*T2^8 + 833*T1^3*T2^8 + 30*T1^4*T2^8 - 
      2536*T1^5*T2^8 + 4052*T1^6*T2^8 - 1650*T1^7*T2^8 - 4036*T1^8*T2^8 + 
      4160*T1^9*T2^8 - 1986*T1^10*T2^8 - 391*T1^11*T2^8 + 623*T1^12*T2^8 + 
      33*T1^3*T2^9 - 895*T1^4*T2^9 + 1775*T1^5*T2^9 - 875*T1^6*T2^9 - 
      1636*T1^7*T2^9 + 4160*T1^8*T2^9 - 1757*T1^9*T2^9 - 601*T1^10*T2^9 + 
      1589*T1^11*T2^9 - 804*T1^12*T2^9 + 191*T1^4*T2^10 + 48*T1^5*T2^10 - 
      1140*T1^6*T2^10 + 2135*T1^7*T2^10 - 1986*T1^8*T2^10 - 601*T1^9*T2^10 + 
      1884*T1^10*T2^10 - 1680*T1^11*T2^10 + 623*T1^12*T2^10 - 
      204*T1^5*T2^11 + 506*T1^6*T2^11 - 384*T1^7*T2^11 - 391*T1^8*T2^11 + 
      1589*T1^9*T2^11 - 1680*T1^10*T2^11 + 1046*T1^11*T2^11 - 
      312*T1^12*T2^11 + 78*T1^6*T2^12 - 312*T1^7*T2^12 + 623*T1^8*T2^12 - 
      804*T1^9*T2^12 + 623*T1^10*T2^12 - 312*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 829] -> 
  {-((1 - 5*T + 11*T^2 - 18*T^3 + 21*T^4 - 18*T^5 + 11*T^6 - 5*T^7 + T^8)/
     T^4), -((-3 + 15*T1 - 33*T1^2 + 54*T1^3 - 63*T1^4 + 54*T1^5 - 33*T1^6 + 
      15*T1^7 - 3*T1^8 + 15*T2 - 65*T1*T2 + 115*T1^2*T2 - 160*T1^3*T2 + 
      135*T1^4*T2 - 60*T1^5*T2 - 15*T1^6*T2 + 35*T1^7*T2 - 35*T1^8*T2 + 
      10*T1^9*T2 - 33*T2^2 + 115*T1*T2^2 - 123*T1^2*T2^2 + 93*T1^3*T2^2 + 
      97*T1^4*T2^2 - 271*T1^5*T2^2 + 317*T1^6*T2^2 - 193*T1^7*T2^2 + 
      97*T1^8*T2^2 + 5*T1^9*T2^2 - 11*T1^10*T2^2 + 54*T2^3 - 160*T1*T2^3 + 
      93*T1^2*T2^3 - 3*T1^3*T2^3 - 275*T1^4*T2^3 + 361*T1^5*T2^3 - 
      218*T1^6*T2^3 - 84*T1^7*T2^3 + 143*T1^8*T2^3 - 171*T1^9*T2^3 + 
      55*T1^10*T2^3 - 63*T2^4 + 135*T1*T2^4 + 97*T1^2*T2^4 - 275*T1^3*T2^4 + 
      507*T1^4*T2^4 - 352*T1^5*T2^4 - 25*T1^6*T2^4 + 356*T1^7*T2^4 - 
      153*T1^8*T2^4 + 13*T1^9*T2^4 + 121*T1^10*T2^4 - 105*T1^11*T2^4 + 
      21*T1^12*T2^4 + 54*T2^5 - 60*T1*T2^5 - 271*T1^2*T2^5 + 361*T1^3*T2^5 - 
      352*T1^4*T2^5 + 157*T1^5*T2^5 + 70*T1^6*T2^5 + 43*T1^7*T2^5 - 
      581*T1^8*T2^5 + 575*T1^9*T2^5 - 296*T1^10*T2^5 + 116*T1^11*T2^5 + 
      75*T1^12*T2^5 - 36*T1^13*T2^5 - 33*T2^6 - 15*T1*T2^6 + 317*T1^2*T2^6 - 
      218*T1^3*T2^6 - 25*T1^4*T2^6 + 70*T1^5*T2^6 - 303*T1^6*T2^6 + 
      7*T1^7*T2^6 + 297*T1^8*T2^6 + 76*T1^9*T2^6 - 499*T1^10*T2^6 + 
      244*T1^11*T2^6 - 295*T1^12*T2^6 + 15*T1^13*T2^6 + 33*T1^14*T2^6 + 
      15*T2^7 + 35*T1*T2^7 - 193*T1^2*T2^7 - 84*T1^3*T2^7 + 356*T1^4*T2^7 + 
      43*T1^5*T2^7 + 7*T1^6*T2^7 + 798*T1^7*T2^7 - 908*T1^8*T2^7 + 
      365*T1^9*T2^7 + 136*T1^10*T2^7 + 305*T1^11*T2^7 + 113*T1^12*T2^7 + 
      203*T1^13*T2^7 - 65*T1^14*T2^7 - 20*T1^15*T2^7 - 3*T2^8 - 35*T1*T2^8 + 
      97*T1^2*T2^8 + 143*T1^3*T2^8 - 153*T1^4*T2^8 - 581*T1^5*T2^8 + 
      297*T1^6*T2^8 - 908*T1^7*T2^8 + 84*T1^8*T2^8 + 740*T1^9*T2^8 - 
      1059*T1^10*T2^8 + 193*T1^11*T2^8 - 601*T1^12*T2^8 - 123*T1^13*T2^8 - 
      81*T1^14*T2^8 + 75*T1^15*T2^8 + 5*T1^16*T2^8 + 10*T1*T2^9 + 
      5*T1^2*T2^9 - 171*T1^3*T2^9 + 13*T1^4*T2^9 + 575*T1^5*T2^9 + 
      76*T1^6*T2^9 + 365*T1^7*T2^9 + 740*T1^8*T2^9 - 966*T1^9*T2^9 + 
      723*T1^10*T2^9 + 169*T1^11*T2^9 + 524*T1^12*T2^9 + 210*T1^13*T2^9 + 
      225*T1^14*T2^9 - 95*T1^15*T2^9 - 25*T1^16*T2^9 - 11*T1^2*T2^10 + 
      55*T1^3*T2^10 + 121*T1^4*T2^10 - 296*T1^5*T2^10 - 499*T1^6*T2^10 + 
      136*T1^7*T2^10 - 1059*T1^8*T2^10 + 723*T1^9*T2^10 - 459*T1^10*T2^10 + 
      142*T1^11*T2^10 - 973*T1^12*T2^10 + 166*T1^13*T2^10 - 491*T1^14*T2^10 + 
      85*T1^15*T2^10 + 55*T1^16*T2^10 - 105*T1^4*T2^11 + 116*T1^5*T2^11 + 
      244*T1^6*T2^11 + 305*T1^7*T2^11 + 193*T1^8*T2^11 + 169*T1^9*T2^11 + 
      142*T1^10*T2^11 - 545*T1^11*T2^11 + 1232*T1^12*T2^11 - 
      413*T1^13*T2^11 + 503*T1^14*T2^11 + 30*T1^15*T2^11 - 90*T1^16*T2^11 + 
      21*T1^4*T2^12 + 75*T1^5*T2^12 - 295*T1^6*T2^12 + 113*T1^7*T2^12 - 
      601*T1^8*T2^12 + 524*T1^9*T2^12 - 973*T1^10*T2^12 + 1232*T1^11*T2^12 - 
      1261*T1^12*T2^12 + 401*T1^13*T2^12 - 271*T1^14*T2^12 - 
      165*T1^15*T2^12 + 105*T1^16*T2^12 - 36*T1^5*T2^13 + 15*T1^6*T2^13 + 
      203*T1^7*T2^13 - 123*T1^8*T2^13 + 210*T1^9*T2^13 + 166*T1^10*T2^13 - 
      413*T1^11*T2^13 + 401*T1^12*T2^13 + 23*T1^13*T2^13 - 61*T1^14*T2^13 + 
      230*T1^15*T2^13 - 90*T1^16*T2^13 + 33*T1^6*T2^14 - 65*T1^7*T2^14 - 
      81*T1^8*T2^14 + 225*T1^9*T2^14 - 491*T1^10*T2^14 + 503*T1^11*T2^14 - 
      271*T1^12*T2^14 - 61*T1^13*T2^14 + 139*T1^14*T2^14 - 175*T1^15*T2^14 + 
      55*T1^16*T2^14 - 20*T1^7*T2^15 + 75*T1^8*T2^15 - 95*T1^9*T2^15 + 
      85*T1^10*T2^15 + 30*T1^11*T2^15 - 165*T1^12*T2^15 + 230*T1^13*T2^15 - 
      175*T1^14*T2^15 + 105*T1^15*T2^15 - 25*T1^16*T2^15 + 5*T1^8*T2^16 - 
      25*T1^9*T2^16 + 55*T1^10*T2^16 - 90*T1^11*T2^16 + 105*T1^12*T2^16 - 
      90*T1^13*T2^16 + 55*T1^14*T2^16 - 25*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 830] -> 
  {(2 - 4*T + 5*T^2 - 4*T^3 + 2*T^4)/T^2, 
   (2*T1 - 3*T1^2 + 4*T1^3 - 3*T1^4 + 2*T1^5 + 2*T2 - 12*T1*T2 + 13*T1^2*T2 - 
     7*T1^3*T2 - 7*T1^4*T2 + 13*T1^5*T2 - 12*T1^6*T2 + 2*T1^7*T2 - 3*T2^2 + 
     13*T1*T2^2 - 39*T1^2*T2^2 + 60*T1^3*T2^2 - 67*T1^4*T2^2 + 60*T1^5*T2^2 - 
     39*T1^6*T2^2 + 13*T1^7*T2^2 - 3*T1^8*T2^2 + 4*T2^3 - 7*T1*T2^3 + 
     60*T1^2*T2^3 - 64*T1^3*T2^3 + 56*T1^4*T2^3 - 16*T1^5*T2^3 - 
     16*T1^6*T2^3 + 44*T1^7*T2^3 - 7*T1^8*T2^3 + 4*T1^9*T2^3 - 3*T2^4 - 
     7*T1*T2^4 - 67*T1^2*T2^4 + 56*T1^3*T2^4 - 78*T1^4*T2^4 + 38*T1^5*T2^4 - 
     18*T1^6*T2^4 - 24*T1^7*T2^4 - 27*T1^8*T2^4 - 7*T1^9*T2^4 - 
     3*T1^10*T2^4 + 2*T2^5 + 13*T1*T2^5 + 60*T1^2*T2^5 - 16*T1^3*T2^5 + 
     38*T1^4*T2^5 + 20*T1^5*T2^5 - 16*T1^6*T2^5 + 38*T1^7*T2^5 + 
     40*T1^8*T2^5 + 12*T1^9*T2^5 + 13*T1^10*T2^5 + 2*T1^11*T2^5 - 
     12*T1*T2^6 - 39*T1^2*T2^6 - 16*T1^3*T2^6 - 18*T1^4*T2^6 - 16*T1^5*T2^6 - 
     24*T1^6*T2^6 + 16*T1^7*T2^6 - 66*T1^8*T2^6 - 16*T1^9*T2^6 - 
     7*T1^10*T2^6 - 12*T1^11*T2^6 + 2*T1*T2^7 + 13*T1^2*T2^7 + 44*T1^3*T2^7 - 
     24*T1^4*T2^7 + 38*T1^5*T2^7 + 16*T1^6*T2^7 - 20*T1^7*T2^7 + 
     38*T1^8*T2^7 + 32*T1^9*T2^7 - 4*T1^10*T2^7 + 13*T1^11*T2^7 + 
     2*T1^12*T2^7 - 3*T1^2*T2^8 - 7*T1^3*T2^8 - 27*T1^4*T2^8 + 40*T1^5*T2^8 - 
     66*T1^6*T2^8 + 38*T1^7*T2^8 - 6*T1^8*T2^8 - 40*T1^9*T2^8 + 
     13*T1^10*T2^8 - 7*T1^11*T2^8 - 3*T1^12*T2^8 + 4*T1^3*T2^9 - 
     7*T1^4*T2^9 + 12*T1^5*T2^9 - 16*T1^6*T2^9 + 32*T1^7*T2^9 - 
     40*T1^8*T2^9 + 32*T1^9*T2^9 - 4*T1^10*T2^9 - 7*T1^11*T2^9 + 
     4*T1^12*T2^9 - 3*T1^4*T2^10 + 13*T1^5*T2^10 - 7*T1^6*T2^10 - 
     4*T1^7*T2^10 + 13*T1^8*T2^10 - 4*T1^9*T2^10 - 7*T1^10*T2^10 + 
     13*T1^11*T2^10 - 3*T1^12*T2^10 + 2*T1^5*T2^11 - 12*T1^6*T2^11 + 
     13*T1^7*T2^11 - 7*T1^8*T2^11 - 7*T1^9*T2^11 + 13*T1^10*T2^11 - 
     12*T1^11*T2^11 + 2*T1^12*T2^11 + 2*T1^7*T2^12 - 3*T1^8*T2^12 + 
     4*T1^9*T2^12 - 3*T1^10*T2^12 + 2*T1^11*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 831] -> 
  {-(((1 - T + T^2)^2*(1 - 3*T + 3*T^2 - 3*T^3 + T^4))/T^4), 
   -((-5 + 25*T1 - 60*T1^2 + 100*T1^3 - 115*T1^4 + 100*T1^5 - 60*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 200*T1^2*T2 - 260*T1^3*T2 + 
      175*T1^4*T2 - 40*T1^5*T2 - 100*T1^6*T2 + 115*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 60*T2^2 + 200*T1*T2^2 - 258*T1^2*T2^2 + 190*T1^3*T2^2 + 
      170*T1^4*T2^2 - 358*T1^5*T2^2 + 434*T1^6*T2^2 - 170*T1^7*T2^2 + 
      6*T1^8*T2^2 + 80*T1^9*T2^2 - 36*T1^10*T2^2 + 100*T2^3 - 260*T1*T2^3 + 
      190*T1^2*T2^3 - 22*T1^3*T2^3 - 497*T1^4*T2^3 + 379*T1^5*T2^3 - 
      281*T1^6*T2^3 - 257*T1^7*T2^3 + 218*T1^8*T2^3 - 170*T1^9*T2^3 - 
      20*T1^10*T2^3 + 40*T1^11*T2^3 - 115*T2^4 + 175*T1*T2^4 + 
      170*T1^2*T2^4 - 497*T1^3*T2^4 + 1221*T1^4*T2^4 - 727*T1^5*T2^4 + 
      659*T1^6*T2^4 + 93*T1^7*T2^4 + 245*T1^8*T2^4 - 137*T1^9*T2^4 + 
      274*T1^10*T2^4 - 85*T1^11*T2^4 - 23*T1^12*T2^4 + 100*T2^5 - 
      40*T1*T2^5 - 358*T1^2*T2^5 + 379*T1^3*T2^5 - 727*T1^4*T2^5 - 
      453*T1^5*T2^5 + 233*T1^6*T2^5 - 747*T1^7*T2^5 - 333*T1^8*T2^5 + 
      138*T1^9*T2^5 - 321*T1^10*T2^5 - 73*T1^11*T2^5 + 115*T1^12*T2^5 - 
      60*T2^6 - 100*T1*T2^6 + 434*T1^2*T2^6 - 281*T1^3*T2^6 + 659*T1^4*T2^6 + 
      233*T1^5*T2^6 + 1008*T1^6*T2^6 - 844*T1^7*T2^6 + 1872*T1^8*T2^6 - 
      687*T1^9*T2^6 + 387*T1^10*T2^6 + 319*T1^11*T2^6 - 150*T1^12*T2^6 - 
      60*T1^13*T2^6 + 12*T1^14*T2^6 + 25*T2^7 + 115*T1*T2^7 - 170*T1^2*T2^7 - 
      257*T1^3*T2^7 + 93*T1^4*T2^7 - 747*T1^5*T2^7 - 844*T1^6*T2^7 + 
      529*T1^7*T2^7 - 1101*T1^8*T2^7 - 404*T1^9*T2^7 + 353*T1^10*T2^7 - 
      592*T1^11*T2^7 - 17*T1^12*T2^7 + 190*T1^13*T2^7 - 10*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 + 6*T1^2*T2^8 + 218*T1^3*T2^8 + 
      245*T1^4*T2^8 - 333*T1^5*T2^8 + 1872*T1^6*T2^8 - 1101*T1^7*T2^8 + 
      828*T1^8*T2^8 + 669*T1^9*T2^8 - 360*T1^10*T2^8 + 237*T1^11*T2^8 + 
      341*T1^12*T2^8 - 222*T1^13*T2^8 - 72*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 80*T1^2*T2^9 - 170*T1^3*T2^9 - 
      137*T1^4*T2^9 + 138*T1^5*T2^9 - 687*T1^6*T2^9 - 404*T1^7*T2^9 + 
      669*T1^8*T2^9 - 961*T1^9*T2^9 + 36*T1^10*T2^9 + 413*T1^11*T2^9 - 
      547*T1^12*T2^9 + 103*T1^13*T2^9 + 190*T1^14*T2^9 - 45*T1^15*T2^9 - 
      15*T1^16*T2^9 - 36*T1^2*T2^10 - 20*T1^3*T2^10 + 274*T1^4*T2^10 - 
      321*T1^5*T2^10 + 387*T1^6*T2^10 + 353*T1^7*T2^10 - 360*T1^8*T2^10 + 
      36*T1^9*T2^10 + 504*T1^10*T2^10 - 567*T1^11*T2^10 + 115*T1^12*T2^10 + 
      279*T1^13*T2^10 - 310*T1^14*T2^10 + 20*T1^15*T2^10 + 36*T1^16*T2^10 + 
      40*T1^3*T2^11 - 85*T1^4*T2^11 - 73*T1^5*T2^11 + 319*T1^6*T2^11 - 
      592*T1^7*T2^11 + 237*T1^8*T2^11 + 413*T1^9*T2^11 - 567*T1^10*T2^11 + 
      357*T1^11*T2^11 + 273*T1^12*T2^11 - 381*T1^13*T2^11 + 212*T1^14*T2^11 + 
      70*T1^15*T2^11 - 60*T1^16*T2^11 - 23*T1^4*T2^12 + 115*T1^5*T2^12 - 
      150*T1^6*T2^12 - 17*T1^7*T2^12 + 341*T1^8*T2^12 - 547*T1^9*T2^12 + 
      115*T1^10*T2^12 + 273*T1^11*T2^12 - 635*T1^12*T2^12 + 343*T1^13*T2^12 - 
      46*T1^14*T2^12 - 145*T1^15*T2^12 + 69*T1^16*T2^12 - 60*T1^6*T2^13 + 
      190*T1^7*T2^13 - 222*T1^8*T2^13 + 103*T1^9*T2^13 + 279*T1^10*T2^13 - 
      381*T1^11*T2^13 + 343*T1^12*T2^13 + 18*T1^13*T2^13 - 170*T1^14*T2^13 + 
      180*T1^15*T2^13 - 60*T1^16*T2^13 + 12*T1^6*T2^14 - 10*T1^7*T2^14 - 
      72*T1^8*T2^14 + 190*T1^9*T2^14 - 310*T1^10*T2^14 + 212*T1^11*T2^14 - 
      46*T1^12*T2^14 - 170*T1^13*T2^14 + 192*T1^14*T2^14 - 130*T1^15*T2^14 + 
      36*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 45*T1^9*T2^15 + 
      20*T1^10*T2^15 + 70*T1^11*T2^15 - 145*T1^12*T2^15 + 180*T1^13*T2^15 - 
      130*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 
      15*T1^9*T2^16 + 36*T1^10*T2^16 - 60*T1^11*T2^16 + 69*T1^12*T2^16 - 
      60*T1^13*T2^16 + 36*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 832] -> 
  {-((3 - 13*T + 23*T^2 - 27*T^3 + 23*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-24 + 111*T1 - 208*T1^2 + 250*T1^3 - 208*T1^4 + 111*T1^5 - 24*T1^6 + 
      111*T2 - 513*T1*T2 + 935*T1^2*T2 - 1079*T1^3*T2 + 871*T1^4*T2 - 
      469*T1^5*T2 + 111*T1^6*T2 - 6*T1^7*T2 - 208*T2^2 + 935*T1*T2^2 - 
      1395*T1^2*T2^2 + 902*T1^3*T2^2 + 123*T1^4*T2^2 - 1030*T1^5*T2^2 + 
      1365*T1^6*T2^2 - 859*T1^7*T2^2 + 206*T1^8*T2^2 + 250*T2^3 - 
      1079*T1*T2^3 + 902*T1^2*T2^3 + 1192*T1^3*T2^3 - 2899*T1^4*T2^3 + 
      3303*T1^5*T2^3 - 2282*T1^6*T2^3 + 97*T1^7*T2^3 + 1183*T1^8*T2^3 - 
      479*T1^9*T2^3 - 208*T2^4 + 871*T1*T2^4 + 123*T1^2*T2^4 - 
      2899*T1^3*T2^4 + 2600*T1^4*T2^4 - 696*T1^5*T2^4 - 1708*T1^6*T2^4 + 
      3689*T1^7*T2^4 - 2655*T1^8*T2^4 - 611*T1^9*T2^4 + 620*T1^10*T2^4 + 
      111*T2^5 - 469*T1*T2^5 - 1030*T1^2*T2^5 + 3303*T1^3*T2^5 - 
      696*T1^4*T2^5 - 745*T1^5*T2^5 + 1133*T1^6*T2^5 - 627*T1^7*T2^5 - 
      2127*T1^8*T2^5 + 4283*T1^9*T2^5 - 625*T1^10*T2^5 - 474*T1^11*T2^5 - 
      24*T2^6 + 111*T1*T2^6 + 1365*T1^2*T2^6 - 2282*T1^3*T2^6 - 
      1708*T1^4*T2^6 + 1133*T1^5*T2^6 - 84*T1^6*T2^6 - 861*T1^7*T2^6 + 
      2442*T1^8*T2^6 - 1946*T1^9*T2^6 - 3007*T1^10*T2^6 + 1437*T1^11*T2^6 + 
      138*T1^12*T2^6 - 6*T1*T2^7 - 859*T1^2*T2^7 + 97*T1^3*T2^7 + 
      3689*T1^4*T2^7 - 627*T1^5*T2^7 - 861*T1^6*T2^7 + 1017*T1^7*T2^7 - 
      558*T1^8*T2^7 - 1741*T1^9*T2^7 + 5410*T1^10*T2^7 - 1015*T1^11*T2^7 - 
      591*T1^12*T2^7 + 206*T1^2*T2^8 + 1183*T1^3*T2^8 - 2655*T1^4*T2^8 - 
      2127*T1^5*T2^8 + 2442*T1^6*T2^8 - 558*T1^7*T2^8 - 1866*T1^8*T2^8 + 
      4461*T1^9*T2^8 - 5433*T1^10*T2^8 - 299*T1^11*T2^8 + 1034*T1^12*T2^8 - 
      479*T1^3*T2^9 - 611*T1^4*T2^9 + 4283*T1^5*T2^9 - 1946*T1^6*T2^9 - 
      1741*T1^7*T2^9 + 4461*T1^8*T2^9 - 5420*T1^9*T2^9 + 3478*T1^10*T2^9 + 
      1651*T1^11*T2^9 - 1208*T1^12*T2^9 + 620*T1^4*T2^10 - 625*T1^5*T2^10 - 
      3007*T1^6*T2^10 + 5410*T1^7*T2^10 - 5433*T1^8*T2^10 + 3478*T1^9*T2^10 - 
      247*T1^10*T2^10 - 2419*T1^11*T2^10 + 1034*T1^12*T2^10 - 
      474*T1^5*T2^11 + 1437*T1^6*T2^11 - 1015*T1^7*T2^11 - 299*T1^8*T2^11 + 
      1651*T1^9*T2^11 - 2419*T1^10*T2^11 + 2061*T1^11*T2^11 - 
      591*T1^12*T2^11 + 138*T1^6*T2^12 - 591*T1^7*T2^12 + 1034*T1^8*T2^12 - 
      1208*T1^9*T2^12 + 1034*T1^10*T2^12 - 591*T1^11*T2^12 + 138*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 833] -> 
  {((1 - T + T^2)^2*(3 - 5*T + 3*T^2))/T^3, 
   (-57 + 210*T1 - 424*T1^2 + 523*T1^3 - 424*T1^4 + 210*T1^5 - 57*T1^6 + 
     210*T2 - 661*T1*T2 + 1151*T1^2*T2 - 1090*T1^3*T2 + 527*T1^4*T2 + 
     62*T1^5*T2 - 199*T1^6*T2 + 111*T1^7*T2 - 424*T2^2 + 1151*T1*T2^2 - 
     1736*T1^2*T2^2 + 1099*T1^3*T2^2 + 152*T1^4*T2^2 - 1013*T1^5*T2^2 + 
     772*T1^6*T2^2 - 301*T1^7*T2^2 - 28*T1^8*T2^2 + 523*T2^3 - 1090*T1*T2^3 + 
     1099*T1^2*T2^3 + 529*T1^3*T2^3 - 1962*T1^4*T2^3 + 1877*T1^5*T2^3 - 
     167*T1^6*T2^3 - 859*T1^7*T2^3 + 857*T1^8*T2^3 - 206*T1^9*T2^3 - 
     424*T2^4 + 527*T1*T2^4 + 152*T1^2*T2^4 - 1962*T1^3*T2^4 + 
     2112*T1^4*T2^4 - 92*T1^5*T2^4 - 2376*T1^6*T2^4 + 2196*T1^7*T2^4 - 
     574*T1^8*T2^4 - 595*T1^9*T2^4 + 368*T1^10*T2^4 + 210*T2^5 + 62*T1*T2^5 - 
     1013*T1^2*T2^5 + 1877*T1^3*T2^5 - 92*T1^4*T2^5 - 3187*T1^5*T2^5 + 
     4271*T1^6*T2^5 - 1544*T1^7*T2^5 - 1324*T1^8*T2^5 + 1561*T1^9*T2^5 - 
     301*T1^10*T2^5 - 285*T1^11*T2^5 - 57*T2^6 - 199*T1*T2^6 + 
     772*T1^2*T2^6 - 167*T1^3*T2^6 - 2376*T1^4*T2^6 + 4271*T1^5*T2^6 - 
     1788*T1^6*T2^6 - 2615*T1^7*T2^6 + 4136*T1^8*T2^6 - 1625*T1^9*T2^6 - 
     460*T1^10*T2^6 + 659*T1^11*T2^6 + 105*T1^12*T2^6 + 111*T1*T2^7 - 
     301*T1^2*T2^7 - 859*T1^3*T2^7 + 2196*T1^4*T2^7 - 1544*T1^5*T2^7 - 
     2615*T1^6*T2^7 + 4843*T1^7*T2^7 - 2996*T1^8*T2^7 - 1005*T1^9*T2^7 + 
     1715*T1^10*T2^7 - 664*T1^11*T2^7 - 384*T1^12*T2^7 - 28*T1^2*T2^8 + 
     857*T1^3*T2^8 - 574*T1^4*T2^8 - 1324*T1^5*T2^8 + 4136*T1^6*T2^8 - 
     2996*T1^7*T2^8 - 352*T1^8*T2^8 + 2834*T1^9*T2^8 - 1300*T1^10*T2^8 - 
     265*T1^11*T2^8 + 764*T1^12*T2^8 - 206*T1^3*T2^9 - 595*T1^4*T2^9 + 
     1561*T1^5*T2^9 - 1625*T1^6*T2^9 - 1005*T1^7*T2^9 + 2834*T1^8*T2^9 - 
     2321*T1^9*T2^9 - 397*T1^10*T2^9 + 1352*T1^11*T2^9 - 935*T1^12*T2^9 + 
     368*T1^4*T2^10 - 301*T1^5*T2^10 - 460*T1^6*T2^10 + 1715*T1^7*T2^10 - 
     1300*T1^8*T2^10 - 397*T1^9*T2^10 + 2048*T1^10*T2^10 - 1753*T1^11*T2^10 + 
     764*T1^12*T2^10 - 285*T1^5*T2^11 + 659*T1^6*T2^11 - 664*T1^7*T2^11 - 
     265*T1^8*T2^11 + 1352*T1^9*T2^11 - 1753*T1^10*T2^11 + 1121*T1^11*T2^11 - 
     384*T1^12*T2^11 + 105*T1^6*T2^12 - 384*T1^7*T2^12 + 764*T1^8*T2^12 - 
     935*T1^9*T2^12 + 764*T1^10*T2^12 - 384*T1^11*T2^12 + 105*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 834] -> 
  {-((2 - 12*T + 26*T^2 - 33*T^3 + 26*T^4 - 12*T^5 + 2*T^6)/T^3), 
   -((-41 + 244*T1 - 526*T1^2 + 667*T1^3 - 526*T1^4 + 244*T1^5 - 41*T1^6 + 
      244*T2 - 1256*T1*T2 + 1968*T1^2*T2 - 1464*T1^3*T2 - 48*T1^4*T2 + 
      1056*T1^5*T2 - 920*T1^6*T2 + 196*T1^7*T2 - 526*T2^2 + 1968*T1*T2^2 - 
      236*T1^2*T2^2 - 4268*T1^3*T2^2 + 7850*T1^4*T2^2 - 6452*T1^5*T2^2 + 
      2260*T1^6*T2^2 + 720*T1^7*T2^2 - 318*T1^8*T2^2 + 667*T2^3 - 
      1464*T1*T2^3 - 4268*T1^2*T2^3 + 10194*T1^3*T2^3 - 9670*T1^4*T2^3 + 
      1214*T1^5*T2^3 + 5268*T1^6*T2^3 - 5048*T1^7*T2^3 + 288*T1^8*T2^3 + 
      271*T1^9*T2^3 - 526*T2^4 - 48*T1*T2^4 + 7850*T1^2*T2^4 - 
      9670*T1^3*T2^4 + 2007*T1^4*T2^4 + 9157*T1^5*T2^4 - 9633*T1^6*T2^4 + 
      2474*T1^7*T2^4 + 3754*T1^8*T2^4 - 960*T1^9*T2^4 - 110*T1^10*T2^4 + 
      244*T2^5 + 1056*T1*T2^5 - 6452*T1^2*T2^5 + 1214*T1^3*T2^5 + 
      9157*T1^4*T2^5 - 13334*T1^5*T2^5 + 3400*T1^6*T2^5 + 6193*T1^7*T2^5 - 
      7150*T1^8*T2^5 - 56*T1^9*T2^5 + 624*T1^10*T2^5 + 4*T1^11*T2^5 - 
      41*T2^6 - 920*T1*T2^6 + 2260*T1^2*T2^6 + 5268*T1^3*T2^6 - 
      9633*T1^4*T2^6 + 3400*T1^5*T2^6 + 9216*T1^6*T2^6 - 11456*T1^7*T2^6 + 
      4431*T1^8*T2^6 + 3228*T1^9*T2^6 - 1324*T1^10*T2^6 - 56*T1^11*T2^6 + 
      7*T1^12*T2^6 + 196*T1*T2^7 + 720*T1^2*T2^7 - 5048*T1^3*T2^7 + 
      2474*T1^4*T2^7 + 6193*T1^5*T2^7 - 11456*T1^6*T2^7 + 5278*T1^7*T2^7 + 
      3229*T1^8*T2^7 - 5890*T1^9*T2^7 + 1348*T1^10*T2^7 + 288*T1^11*T2^7 - 
      44*T1^12*T2^7 - 318*T1^2*T2^8 + 288*T1^3*T2^8 + 3754*T1^4*T2^8 - 
      7150*T1^5*T2^8 + 4431*T1^6*T2^8 + 3229*T1^7*T2^8 - 7209*T1^8*T2^8 + 
      4994*T1^9*T2^8 - 342*T1^10*T2^8 - 624*T1^11*T2^8 + 98*T1^12*T2^8 + 
      271*T1^3*T2^9 - 960*T1^4*T2^9 - 56*T1^5*T2^9 + 3228*T1^6*T2^9 - 
      5890*T1^7*T2^9 + 4994*T1^8*T2^9 - 1698*T1^9*T2^9 - 836*T1^10*T2^9 + 
      792*T1^11*T2^9 - 125*T1^12*T2^9 - 110*T1^4*T2^10 + 624*T1^5*T2^10 - 
      1324*T1^6*T2^10 + 1348*T1^7*T2^10 - 342*T1^8*T2^10 - 836*T1^9*T2^10 + 
      1172*T1^10*T2^10 - 624*T1^11*T2^10 + 98*T1^12*T2^10 + 4*T1^5*T2^11 - 
      56*T1^6*T2^11 + 288*T1^7*T2^11 - 624*T1^8*T2^11 + 792*T1^9*T2^11 - 
      624*T1^10*T2^11 + 280*T1^11*T2^11 - 44*T1^12*T2^11 + 7*T1^6*T2^12 - 
      44*T1^7*T2^12 + 98*T1^8*T2^12 - 125*T1^9*T2^12 + 98*T1^10*T2^12 - 
      44*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 835] -> {(1 - 4*T^2 + 7*T^3 - 4*T^4 + T^6)/T^3, 
   (-4 + 16*T1^2 - 28*T1^3 + 16*T1^4 - 4*T1^6 + 4*T1*T2 - 6*T1^2*T2 + 
     4*T1^3*T2 + 4*T1^4*T2 - 6*T1^5*T2 + 4*T1^6*T2 + 16*T2^2 - 6*T1*T2^2 - 
     48*T1^2*T2^2 + 93*T1^3*T2^2 - 76*T1^4*T2^2 + 37*T1^5*T2^2 - 
     8*T1^6*T2^2 - 6*T1^7*T2^2 + 8*T1^8*T2^2 - 28*T2^3 + 4*T1*T2^3 + 
     93*T1^2*T2^3 - 145*T1^3*T2^3 + 80*T1^4*T2^3 - 4*T1^5*T2^3 - 
     19*T1^6*T2^3 + 9*T1^7*T2^3 + 4*T1^8*T2^3 - 7*T1^9*T2^3 + 16*T2^4 + 
     4*T1*T2^4 - 76*T1^2*T2^4 + 80*T1^3*T2^4 + 2*T1^4*T2^4 - 88*T1^5*T2^4 + 
     82*T1^6*T2^4 - 32*T1^7*T2^4 - 12*T1^8*T2^4 + 4*T1^9*T2^4 - 6*T1*T2^5 + 
     37*T1^2*T2^5 - 4*T1^3*T2^5 - 88*T1^4*T2^5 + 180*T1^5*T2^5 - 
     128*T1^6*T2^5 + 24*T1^7*T2^5 + 24*T1^8*T2^5 + 9*T1^9*T2^5 - 
     6*T1^10*T2^5 - 4*T2^6 + 4*T1*T2^6 - 8*T1^2*T2^6 - 19*T1^3*T2^6 + 
     82*T1^4*T2^6 - 128*T1^5*T2^6 + 36*T1^6*T2^6 + 96*T1^7*T2^6 - 
     102*T1^8*T2^6 + 23*T1^9*T2^6 + 4*T1^11*T2^6 + 2*T1^12*T2^6 - 
     6*T1^2*T2^7 + 9*T1^3*T2^7 - 32*T1^4*T2^7 + 24*T1^5*T2^7 + 96*T1^6*T2^7 - 
     212*T1^7*T2^7 + 136*T1^8*T2^7 - 4*T1^9*T2^7 - 19*T1^10*T2^7 - 
     6*T1^11*T2^7 + 8*T1^2*T2^8 + 4*T1^3*T2^8 - 12*T1^4*T2^8 + 24*T1^5*T2^8 - 
     102*T1^6*T2^8 + 136*T1^7*T2^8 - 22*T1^8*T2^8 - 88*T1^9*T2^8 + 
     52*T1^10*T2^8 + 4*T1^11*T2^8 - 8*T1^12*T2^8 - 7*T1^3*T2^9 + 
     4*T1^4*T2^9 + 9*T1^5*T2^9 + 23*T1^6*T2^9 - 4*T1^7*T2^9 - 88*T1^8*T2^9 + 
     149*T1^9*T2^9 - 75*T1^10*T2^9 + 4*T1^11*T2^9 + 14*T1^12*T2^9 - 
     6*T1^5*T2^10 - 19*T1^7*T2^10 + 52*T1^8*T2^10 - 75*T1^9*T2^10 + 
     40*T1^10*T2^10 - 6*T1^11*T2^10 - 8*T1^12*T2^10 + 4*T1^6*T2^11 - 
     6*T1^7*T2^11 + 4*T1^8*T2^11 + 4*T1^9*T2^11 - 6*T1^10*T2^11 + 
     4*T1^11*T2^11 + 2*T1^6*T2^12 - 8*T1^8*T2^12 + 14*T1^9*T2^12 - 
     8*T1^10*T2^12 + 2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 836] -> 
  {-(((1 - T + T^2)*(2 - 10*T + 15*T^2 - 10*T^3 + 2*T^4))/T^3), 
   -((-41 + 245*T1 - 549*T1^2 + 711*T1^3 - 549*T1^4 + 245*T1^5 - 41*T1^6 + 
      245*T2 - 1274*T1*T2 + 2109*T1^2*T2 - 1619*T1^3*T2 - 131*T1^4*T2 + 
      1173*T1^5*T2 - 938*T1^6*T2 + 197*T1^7*T2 - 549*T2^2 + 2109*T1*T2^2 - 
      582*T1^2*T2^2 - 4383*T1^3*T2^2 + 8794*T1^4*T2^2 - 6867*T1^5*T2^2 + 
      2118*T1^6*T2^2 + 813*T1^7*T2^2 - 333*T1^8*T2^2 + 711*T2^3 - 
      1619*T1*T2^3 - 4383*T1^2*T2^3 + 11570*T1^3*T2^3 - 11480*T1^4*T2^3 + 
      418*T1^5*T2^3 + 6704*T1^6*T2^3 - 5517*T1^7*T2^3 + 253*T1^8*T2^3 + 
      291*T1^9*T2^3 - 549*T2^4 - 131*T1*T2^4 + 8794*T1^2*T2^4 - 
      11480*T1^3*T2^4 + 2422*T1^4*T2^4 + 12628*T1^5*T2^4 - 11498*T1^6*T2^4 + 
      1960*T1^7*T2^4 + 4546*T1^8*T2^4 - 1043*T1^9*T2^4 - 117*T1^10*T2^4 + 
      245*T2^5 + 1173*T1*T2^5 - 6867*T1^2*T2^5 + 418*T1^3*T2^5 + 
      12628*T1^4*T2^5 - 18753*T1^5*T2^5 + 3609*T1^6*T2^5 + 8497*T1^7*T2^5 - 
      8396*T1^8*T2^5 - 333*T1^9*T2^5 + 669*T1^10*T2^5 + 5*T1^11*T2^5 - 
      41*T2^6 - 938*T1*T2^6 + 2118*T1^2*T2^6 + 6704*T1^3*T2^6 - 
      11498*T1^4*T2^6 + 3609*T1^5*T2^6 + 14436*T1^6*T2^6 - 15813*T1^7*T2^6 + 
      5440*T1^8*T2^6 + 3920*T1^9*T2^6 - 1230*T1^10*T2^6 - 74*T1^11*T2^6 + 
      7*T1^12*T2^6 + 197*T1*T2^7 + 813*T1^2*T2^7 - 5517*T1^3*T2^7 + 
      1960*T1^4*T2^7 + 8497*T1^5*T2^7 - 15813*T1^6*T2^7 + 6549*T1^7*T2^7 + 
      4366*T1^8*T2^7 - 6854*T1^9*T2^7 + 1017*T1^10*T2^7 + 309*T1^11*T2^7 - 
      43*T1^12*T2^7 - 333*T1^2*T2^8 + 253*T1^3*T2^8 + 4546*T1^4*T2^8 - 
      8396*T1^5*T2^8 + 5440*T1^6*T2^8 + 4366*T1^7*T2^8 - 8480*T1^8*T2^8 + 
      5044*T1^9*T2^8 + 298*T1^10*T2^8 - 659*T1^11*T2^8 + 99*T1^12*T2^8 + 
      291*T1^3*T2^9 - 1043*T1^4*T2^9 - 333*T1^5*T2^9 + 3920*T1^6*T2^9 - 
      6854*T1^7*T2^9 + 5044*T1^8*T2^9 - 946*T1^9*T2^9 - 1467*T1^10*T2^9 + 
      829*T1^11*T2^9 - 129*T1^12*T2^9 - 117*T1^4*T2^10 + 669*T1^5*T2^10 - 
      1230*T1^6*T2^10 + 1017*T1^7*T2^10 + 298*T1^8*T2^10 - 1467*T1^9*T2^10 + 
      1470*T1^10*T2^10 - 627*T1^11*T2^10 + 99*T1^12*T2^10 + 5*T1^5*T2^11 - 
      74*T1^6*T2^11 + 309*T1^7*T2^11 - 659*T1^8*T2^11 + 829*T1^9*T2^11 - 
      627*T1^10*T2^11 + 262*T1^11*T2^11 - 43*T1^12*T2^11 + 7*T1^6*T2^12 - 
      43*T1^7*T2^12 + 99*T1^8*T2^12 - 129*T1^9*T2^12 + 99*T1^10*T2^12 - 
      43*T1^11*T2^12 + 7*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 837] -> 
  {(1 - 7*T + 21*T^2 - 35*T^3 + 41*T^4 - 35*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 140*T1^3 - 164*T1^4 + 140*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 539*T1^3*T2 + 
     413*T1^4*T2 - 119*T1^5*T2 - 147*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 777*T1^2*T2^2 + 147*T1^3*T2^2 + 
     819*T1^4*T2^2 - 1617*T1^5*T2^2 + 1659*T1^6*T2^2 - 1029*T1^7*T2^2 + 
     63*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 140*T2^3 - 539*T1*T2^3 + 
     147*T1^2*T2^3 + 2336*T1^3*T2^3 - 3770*T1^4*T2^3 + 3628*T1^5*T2^3 - 
     1664*T1^6*T2^3 - 578*T1^7*T2^3 + 2000*T1^8*T2^3 - 882*T1^9*T2^3 + 
     49*T1^10*T2^3 + 35*T1^11*T2^3 - 164*T2^4 + 413*T1*T2^4 + 819*T1^2*T2^4 - 
     3770*T1^3*T2^4 + 2272*T1^4*T2^4 + 1296*T1^5*T2^4 - 5304*T1^6*T2^4 + 
     6504*T1^7*T2^4 - 4888*T1^8*T2^4 + 290*T1^9*T2^4 + 833*T1^10*T2^4 - 
     245*T1^11*T2^4 + 140*T2^5 - 119*T1*T2^5 - 1617*T1^2*T2^5 + 
     3628*T1^3*T2^5 + 1296*T1^4*T2^5 - 6097*T1^5*T2^5 + 7891*T1^6*T2^5 - 
     4653*T1^7*T2^5 + 35*T1^8*T2^5 + 4537*T1^9*T2^5 - 2448*T1^10*T2^5 + 
     245*T1^12*T2^5 - 35*T1^13*T2^5 - 84*T2^6 - 147*T1*T2^6 + 
     1659*T1^2*T2^6 - 1664*T1^3*T2^6 - 5304*T1^4*T2^6 + 7891*T1^5*T2^6 - 
     3731*T1^6*T2^6 - 3003*T1^7*T2^6 + 5789*T1^8*T2^6 - 5535*T1^9*T2^6 + 
     2*T1^10*T2^6 + 2452*T1^11*T2^6 - 833*T1^12*T2^6 - 49*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 1029*T1^2*T2^7 - 578*T1^3*T2^7 + 
     6504*T1^4*T2^7 - 4653*T1^5*T2^7 - 3003*T1^6*T2^7 + 5020*T1^7*T2^7 - 
     748*T1^8*T2^7 - 3052*T1^9*T2^7 + 6127*T1^10*T2^7 - 4605*T1^11*T2^7 - 
     298*T1^12*T2^7 + 882*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 63*T1^2*T2^8 + 2000*T1^3*T2^8 - 4888*T1^4*T2^8 + 
     35*T1^5*T2^8 + 5789*T1^6*T2^8 - 748*T1^7*T2^8 - 4644*T1^8*T2^8 + 
     4684*T1^9*T2^8 - 2373*T1^10*T2^8 - 931*T1^11*T2^8 + 5044*T1^12*T2^8 - 
     2004*T1^13*T2^8 - 63*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 882*T1^3*T2^9 + 290*T1^4*T2^9 + 
     4537*T1^5*T2^9 - 5535*T1^6*T2^9 - 3052*T1^7*T2^9 + 4684*T1^8*T2^9 - 
     1084*T1^9*T2^9 - 3101*T1^10*T2^9 + 5245*T1^11*T2^9 - 6572*T1^12*T2^9 + 
     570*T1^13*T2^9 + 1029*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 49*T1^3*T2^10 + 833*T1^4*T2^10 - 2448*T1^5*T2^10 + 
     2*T1^6*T2^10 + 6127*T1^7*T2^10 - 2373*T1^8*T2^10 - 3101*T1^9*T2^10 + 
     7147*T1^10*T2^10 - 7299*T1^11*T2^10 + 5308*T1^12*T2^10 + 
     1668*T1^13*T2^10 - 1659*T1^14*T2^10 + 147*T1^15*T2^10 + 84*T1^16*T2^10 + 
     35*T1^3*T2^11 - 245*T1^4*T2^11 + 2452*T1^6*T2^11 - 4605*T1^7*T2^11 - 
     931*T1^8*T2^11 + 5245*T1^9*T2^11 - 7299*T1^10*T2^11 + 5201*T1^11*T2^11 - 
     1364*T1^12*T2^11 - 3624*T1^13*T2^11 + 1617*T1^14*T2^11 + 
     119*T1^15*T2^11 - 140*T1^16*T2^11 + 245*T1^5*T2^12 - 833*T1^6*T2^12 - 
     298*T1^7*T2^12 + 5044*T1^8*T2^12 - 6572*T1^9*T2^12 + 5308*T1^10*T2^12 - 
     1364*T1^11*T2^12 - 2116*T1^12*T2^12 + 3762*T1^13*T2^12 - 
     819*T1^14*T2^12 - 413*T1^15*T2^12 + 164*T1^16*T2^12 - 35*T1^5*T2^13 - 
     49*T1^6*T2^13 + 882*T1^7*T2^13 - 2004*T1^8*T2^13 + 570*T1^9*T2^13 + 
     1668*T1^10*T2^13 - 3624*T1^11*T2^13 + 3762*T1^12*T2^13 - 
     2340*T1^13*T2^13 - 147*T1^14*T2^13 + 539*T1^15*T2^13 - 140*T1^16*T2^13 + 
     42*T1^6*T2^14 - 147*T1^7*T2^14 - 63*T1^8*T2^14 + 1029*T1^9*T2^14 - 
     1659*T1^10*T2^14 + 1617*T1^11*T2^14 - 819*T1^12*T2^14 - 
     147*T1^13*T2^14 + 777*T1^14*T2^14 - 441*T1^15*T2^14 + 84*T1^16*T2^14 - 
     21*T1^7*T2^15 + 119*T1^8*T2^15 - 245*T1^9*T2^15 + 147*T1^10*T2^15 + 
     119*T1^11*T2^15 - 413*T1^12*T2^15 + 539*T1^13*T2^15 - 441*T1^14*T2^15 + 
     175*T1^15*T2^15 - 28*T1^16*T2^15 + 4*T1^8*T2^16 - 28*T1^9*T2^16 + 
     84*T1^10*T2^16 - 140*T1^11*T2^16 + 164*T1^12*T2^16 - 140*T1^13*T2^16 + 
     84*T1^14*T2^16 - 28*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 838] -> 
  {(1 - 3*T + T^2)^2/T^2, (2*(1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*
     (1 - 3*T1*T2 + T1^2*T2^2)*(-1 + 3*T1 - T1^2 + 3*T2 - 11*T1*T2 + 
      T1^2*T2 - T2^2 + T1*T2^2 + 12*T1^2*T2^2 - 5*T1^3*T2^2 + T1^4*T2^2 - 
      5*T1^2*T2^3 + 7*T1^3*T2^3 - 3*T1^4*T2^3 + T1^2*T2^4 - 3*T1^3*T2^4 + 
      T1^4*T2^4))/(T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 839] -> 
  {(1 - 7*T + 18*T^2 - 23*T^3 + 23*T^4 - 23*T^5 + 18*T^6 - 7*T^7 + T^8)/T^4, 
   (-2 + 14*T1 - 36*T1^2 + 46*T1^3 - 46*T1^4 + 46*T1^5 - 36*T1^6 + 14*T1^7 - 
     2*T1^8 + 14*T2 - 91*T1*T2 + 203*T1^2*T2 - 196*T1^3*T2 + 161*T1^4*T2 - 
     161*T1^5*T2 + 91*T1^6*T2 + 28*T1^7*T2 - 35*T1^8*T2 + 7*T1^9*T2 - 
     36*T2^2 + 203*T1*T2^2 - 302*T1^2*T2^2 - 69*T1^3*T2^2 + 320*T1^4*T2^2 - 
     320*T1^5*T2^2 + 500*T1^6*T2^2 - 645*T1^7*T2^2 + 310*T1^8*T2^2 - 
     49*T1^9*T2^2 + 46*T2^3 - 196*T1*T2^3 - 69*T1^2*T2^3 + 1245*T1^3*T2^3 - 
     1704*T1^4*T2^3 + 1425*T1^5*T2^3 - 1542*T1^6*T2^3 + 1392*T1^7*T2^3 - 
     249*T1^8*T2^3 - 303*T1^9*T2^3 + 161*T1^10*T2^3 - 23*T1^11*T2^3 - 
     46*T2^4 + 161*T1*T2^4 + 320*T1^2*T2^4 - 1704*T1^3*T2^4 + 
     1375*T1^4*T2^4 + 71*T1^5*T2^4 - 61*T1^6*T2^4 + 209*T1^7*T2^4 - 
     1753*T1^8*T2^4 + 1654*T1^9*T2^4 - 278*T1^10*T2^4 - 161*T1^11*T2^4 + 
     46*T1^12*T2^4 + 46*T2^5 - 161*T1*T2^5 - 320*T1^2*T2^5 + 1425*T1^3*T2^5 + 
     71*T1^4*T2^5 - 2226*T1^5*T2^5 + 1070*T1^6*T2^5 - 1046*T1^7*T2^5 + 
     3018*T1^8*T2^5 - 1332*T1^9*T2^5 - 1312*T1^10*T2^5 + 577*T1^11*T2^5 + 
     161*T1^12*T2^5 - 69*T1^13*T2^5 - 36*T2^6 + 91*T1*T2^6 + 500*T1^2*T2^6 - 
     1542*T1^3*T2^6 - 61*T1^4*T2^6 + 1070*T1^5*T2^6 + 1233*T1^6*T2^6 + 
     709*T1^7*T2^6 - 3095*T1^8*T2^6 - 494*T1^9*T2^6 + 1687*T1^10*T2^6 + 
     1770*T1^11*T2^6 - 1236*T1^12*T2^6 - 21*T1^13*T2^6 + 72*T1^14*T2^6 + 
     14*T2^7 + 28*T1*T2^7 - 645*T1^2*T2^7 + 1392*T1^3*T2^7 + 209*T1^4*T2^7 - 
     1046*T1^5*T2^7 + 709*T1^6*T2^7 - 5552*T1^7*T2^7 + 5678*T1^8*T2^7 - 
     624*T1^9*T2^7 + 2174*T1^10*T2^7 - 4552*T1^11*T2^7 - 656*T1^12*T2^7 + 
     1641*T1^13*T2^7 - 259*T1^14*T2^7 - 35*T1^15*T2^7 - 2*T2^8 - 35*T1*T2^8 + 
     310*T1^2*T2^8 - 249*T1^3*T2^8 - 1753*T1^4*T2^8 + 3018*T1^5*T2^8 - 
     3095*T1^6*T2^8 + 5678*T1^7*T2^8 - 360*T1^8*T2^8 - 4826*T1^9*T2^8 + 
     1871*T1^10*T2^8 - 2226*T1^11*T2^8 + 7591*T1^12*T2^8 - 3155*T1^13*T2^8 - 
     308*T1^14*T2^8 + 203*T1^15*T2^8 + 6*T1^16*T2^8 + 7*T1*T2^9 - 
     49*T1^2*T2^9 - 303*T1^3*T2^9 + 1654*T1^4*T2^9 - 1332*T1^5*T2^9 - 
     494*T1^6*T2^9 - 624*T1^7*T2^9 - 4826*T1^8*T2^9 + 6404*T1^9*T2^9 - 
     1957*T1^10*T2^9 + 2726*T1^11*T2^9 - 6093*T1^12*T2^9 - 394*T1^13*T2^9 + 
     1983*T1^14*T2^9 - 336*T1^15*T2^9 - 42*T1^16*T2^9 + 161*T1^3*T2^10 - 
     278*T1^4*T2^10 - 1312*T1^5*T2^10 + 1687*T1^6*T2^10 + 2174*T1^7*T2^10 + 
     1871*T1^8*T2^10 - 1957*T1^9*T2^10 - 2457*T1^10*T2^10 + 610*T1^11*T2^10 + 
     3435*T1^12*T2^10 + 2000*T1^13*T2^10 - 2014*T1^14*T2^10 + 
     49*T1^15*T2^10 + 108*T1^16*T2^10 - 23*T1^3*T2^11 - 161*T1^4*T2^11 + 
     577*T1^5*T2^11 + 1770*T1^6*T2^11 - 4552*T1^7*T2^11 - 2226*T1^8*T2^11 + 
     2726*T1^9*T2^11 + 610*T1^10*T2^11 + 3018*T1^11*T2^11 - 
     5955*T1^12*T2^11 - 967*T1^13*T2^11 + 1474*T1^14*T2^11 + 
     161*T1^15*T2^11 - 138*T1^16*T2^11 + 46*T1^4*T2^12 + 161*T1^5*T2^12 - 
     1236*T1^6*T2^12 - 656*T1^7*T2^12 + 7591*T1^8*T2^12 - 6093*T1^9*T2^12 + 
     3435*T1^10*T2^12 - 5955*T1^11*T2^12 + 4463*T1^12*T2^12 + 
     2702*T1^13*T2^12 - 1834*T1^14*T2^12 - 161*T1^15*T2^12 + 
     138*T1^16*T2^12 - 69*T1^5*T2^13 - 21*T1^6*T2^13 + 1641*T1^7*T2^13 - 
     3155*T1^8*T2^13 - 394*T1^9*T2^13 + 2000*T1^10*T2^13 - 967*T1^11*T2^13 + 
     2702*T1^12*T2^13 - 4649*T1^13*T2^13 + 1407*T1^14*T2^13 + 
     336*T1^15*T2^13 - 138*T1^16*T2^13 + 72*T1^6*T2^14 - 259*T1^7*T2^14 - 
     308*T1^8*T2^14 + 1983*T1^9*T2^14 - 2014*T1^10*T2^14 + 1474*T1^11*T2^14 - 
     1834*T1^12*T2^14 + 1407*T1^13*T2^14 + 304*T1^14*T2^14 - 
     511*T1^15*T2^14 + 108*T1^16*T2^14 - 35*T1^7*T2^15 + 203*T1^8*T2^15 - 
     336*T1^9*T2^15 + 49*T1^10*T2^15 + 161*T1^11*T2^15 - 161*T1^12*T2^15 + 
     336*T1^13*T2^15 - 511*T1^14*T2^15 + 259*T1^15*T2^15 - 42*T1^16*T2^15 + 
     6*T1^8*T2^16 - 42*T1^9*T2^16 + 108*T1^10*T2^16 - 138*T1^11*T2^16 + 
     138*T1^12*T2^16 - 138*T1^13*T2^16 + 108*T1^14*T2^16 - 42*T1^15*T2^16 + 
     6*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 840] -> 
  {-(((1 - 4*T + 7*T^2 - 4*T^3 + T^4)*(1 - 2*T + T^2 - 2*T^3 + T^4))/T^4), 
   -((-3 + 18*T1 - 48*T1^2 + 72*T1^3 - 75*T1^4 + 72*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 240*T1^3*T2 + 
      162*T1^4*T2 - 132*T1^5*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 12*T1^9*T2 - 
      48*T2^2 + 216*T1*T2^2 - 351*T1^2*T2^2 + 95*T1^3*T2^2 + 268*T1^4*T2^2 - 
      259*T1^5*T2^2 + 556*T1^6*T2^2 - 481*T1^7*T2^2 + 129*T1^8*T2^2 + 
      24*T1^9*T2^2 - 16*T1^10*T2^2 + 72*T2^3 - 240*T1*T2^3 + 95*T1^2*T2^3 + 
      758*T1^3*T2^3 - 1241*T1^4*T2^3 + 757*T1^5*T2^3 - 1067*T1^6*T2^3 + 
      367*T1^7*T2^3 + 446*T1^8*T2^3 - 385*T1^9*T2^3 + 96*T1^10*T2^3 - 
      75*T2^4 + 162*T1*T2^4 + 268*T1^2*T2^4 - 1241*T1^3*T2^4 + 
      935*T1^4*T2^4 + 512*T1^5*T2^4 - 139*T1^6*T2^4 + 1304*T1^7*T2^4 - 
      1849*T1^8*T2^4 + 679*T1^9*T2^4 + 140*T1^10*T2^4 - 150*T1^11*T2^4 + 
      25*T1^12*T2^4 + 72*T2^5 - 132*T1*T2^5 - 259*T1^2*T2^5 + 757*T1^3*T2^5 + 
      512*T1^4*T2^5 - 2258*T1^5*T2^5 + 1147*T1^6*T2^5 - 2309*T1^7*T2^5 + 
      2152*T1^8*T2^5 + 314*T1^9*T2^5 - 875*T1^10*T2^5 + 137*T1^11*T2^5 + 
      138*T1^12*T2^5 - 48*T1^13*T2^5 - 48*T2^6 + 556*T1^2*T2^6 - 
      1067*T1^3*T2^6 - 139*T1^4*T2^6 + 1147*T1^5*T2^6 + 350*T1^6*T2^6 + 
      1776*T1^7*T2^6 - 1378*T1^8*T2^6 - 1733*T1^9*T2^6 + 437*T1^10*T2^6 + 
      1045*T1^11*T2^6 - 564*T1^12*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 
      84*T1*T2^7 - 481*T1^2*T2^7 + 367*T1^3*T2^7 + 1304*T1^4*T2^7 - 
      2309*T1^5*T2^7 + 1776*T1^6*T2^7 - 4290*T1^7*T2^7 + 2124*T1^8*T2^7 + 
      1392*T1^9*T2^7 + 2299*T1^10*T2^7 - 2458*T1^11*T2^7 + 7*T1^12*T2^7 + 
      575*T1^13*T2^7 - 144*T1^14*T2^7 - 24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 
      129*T1^2*T2^8 + 446*T1^3*T2^8 - 1849*T1^4*T2^8 + 2152*T1^5*T2^8 - 
      1378*T1^6*T2^8 + 2124*T1^7*T2^8 + 924*T1^8*T2^8 - 2748*T1^9*T2^8 - 
      2594*T1^10*T2^8 + 64*T1^11*T2^8 + 2639*T1^12*T2^8 - 1282*T1^13*T2^8 - 
      15*T1^14*T2^8 + 114*T1^15*T2^8 + 5*T1^16*T2^8 + 12*T1*T2^9 + 
      24*T1^2*T2^9 - 385*T1^3*T2^9 + 679*T1^4*T2^9 + 314*T1^5*T2^9 - 
      1733*T1^6*T2^9 + 1392*T1^7*T2^9 - 2748*T1^8*T2^9 + 3666*T1^9*T2^9 + 
      1008*T1^10*T2^9 + 2875*T1^11*T2^9 - 3448*T1^12*T2^9 + 319*T1^13*T2^9 + 
      671*T1^14*T2^9 - 204*T1^15*T2^9 - 30*T1^16*T2^9 - 16*T1^2*T2^10 + 
      96*T1^3*T2^10 + 140*T1^4*T2^10 - 875*T1^5*T2^10 + 437*T1^6*T2^10 + 
      2299*T1^7*T2^10 - 2594*T1^8*T2^10 + 1008*T1^9*T2^10 - 
      4322*T1^10*T2^10 - 581*T1^11*T2^10 + 1013*T1^12*T2^10 + 
      1237*T1^13*T2^10 - 980*T1^14*T2^10 + 96*T1^15*T2^10 + 80*T1^16*T2^10 - 
      150*T1^4*T2^11 + 137*T1^5*T2^11 + 1045*T1^6*T2^11 - 2458*T1^7*T2^11 + 
      64*T1^8*T2^11 + 2875*T1^9*T2^11 - 581*T1^10*T2^11 + 4474*T1^11*T2^11 - 
      2656*T1^12*T2^11 - 587*T1^13*T2^11 + 533*T1^14*T2^11 + 
      120*T1^15*T2^11 - 120*T1^16*T2^11 + 25*T1^4*T2^12 + 138*T1^5*T2^12 - 
      564*T1^6*T2^12 + 7*T1^7*T2^12 + 2639*T1^8*T2^12 - 3448*T1^9*T2^12 + 
      1013*T1^10*T2^12 - 2656*T1^11*T2^12 - 145*T1^12*T2^12 + 
      1927*T1^13*T2^12 - 692*T1^14*T2^12 - 174*T1^15*T2^12 + 
      125*T1^16*T2^12 - 48*T1^5*T2^13 + 575*T1^7*T2^13 - 1282*T1^8*T2^13 + 
      319*T1^9*T2^13 + 1237*T1^10*T2^13 - 587*T1^11*T2^13 + 
      1927*T1^12*T2^13 - 1594*T1^13*T2^13 + 95*T1^14*T2^13 + 
      336*T1^15*T2^13 - 120*T1^16*T2^13 + 48*T1^6*T2^14 - 144*T1^7*T2^14 - 
      15*T1^8*T2^14 + 671*T1^9*T2^14 - 980*T1^10*T2^14 + 533*T1^11*T2^14 - 
      692*T1^12*T2^14 + 95*T1^13*T2^14 + 465*T1^14*T2^14 - 336*T1^15*T2^14 + 
      80*T1^16*T2^14 - 24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 
      96*T1^10*T2^15 + 120*T1^11*T2^15 - 174*T1^12*T2^15 + 336*T1^13*T2^15 - 
      336*T1^14*T2^15 + 156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 
      30*T1^9*T2^16 + 80*T1^10*T2^16 - 120*T1^11*T2^16 + 125*T1^12*T2^16 - 
      120*T1^13*T2^16 + 80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 841] -> 
  {-(((-2 + T)*(-1 + 2*T)*(1 - T + T^2)^2)/T^3), 
   -((-23 + 103*T1 - 205*T1^2 + 261*T1^3 - 205*T1^4 + 103*T1^5 - 23*T1^6 + 
      103*T2 - 396*T1*T2 + 624*T1^2*T2 - 578*T1^3*T2 + 160*T1^4*T2 + 
      138*T1^5*T2 - 198*T1^6*T2 + 67*T1^7*T2 - 205*T2^2 + 624*T1*T2^2 - 
      550*T1^2*T2^2 - 123*T1^3*T2^2 + 1118*T1^4*T2^2 - 1131*T1^5*T2^2 + 
      602*T1^6*T2^2 - 24*T1^7*T2^2 - 61*T1^8*T2^2 + 261*T2^3 - 578*T1*T2^3 - 
      123*T1^2*T2^3 + 1368*T1^3*T2^3 - 2097*T1^4*T2^3 + 819*T1^5*T2^3 + 
      444*T1^6*T2^3 - 825*T1^7*T2^3 + 340*T1^8*T2^3 - 15*T1^9*T2^3 - 
      205*T2^4 + 160*T1*T2^4 + 1118*T1^2*T2^4 - 2097*T1^3*T2^4 + 
      1066*T1^4*T2^4 + 1646*T1^5*T2^4 - 2426*T1^6*T2^4 + 1215*T1^7*T2^4 - 
      16*T1^8*T2^4 - 308*T1^9*T2^4 + 83*T1^10*T2^4 + 103*T2^5 + 138*T1*T2^5 - 
      1131*T1^2*T2^5 + 819*T1^3*T2^5 + 1646*T1^4*T2^5 - 3192*T1^5*T2^5 + 
      1650*T1^6*T2^5 + 998*T1^7*T2^5 - 1305*T1^8*T2^5 + 795*T1^9*T2^5 - 
      24*T1^10*T2^5 - 77*T1^11*T2^5 - 23*T2^6 - 198*T1*T2^6 + 602*T1^2*T2^6 + 
      444*T1^3*T2^6 - 2426*T1^4*T2^6 + 1650*T1^5*T2^6 + 696*T1^6*T2^6 - 
      2454*T1^7*T2^6 + 922*T1^8*T2^6 - 108*T1^9*T2^6 - 586*T1^10*T2^6 + 
      234*T1^11*T2^6 + 25*T1^12*T2^6 + 67*T1*T2^7 - 24*T1^2*T2^7 - 
      825*T1^3*T2^7 + 1215*T1^4*T2^7 + 998*T1^5*T2^7 - 2454*T1^6*T2^7 + 
      2388*T1^7*T2^7 + 350*T1^8*T2^7 - 909*T1^9*T2^7 + 1101*T1^10*T2^7 - 
      186*T1^11*T2^7 - 113*T1^12*T2^7 - 61*T1^2*T2^8 + 340*T1^3*T2^8 - 
      16*T1^4*T2^8 - 1305*T1^5*T2^8 + 922*T1^6*T2^8 + 350*T1^7*T2^8 - 
      2570*T1^8*T2^8 + 2007*T1^9*T2^8 - 1150*T1^10*T2^8 - 128*T1^11*T2^8 + 
      227*T1^12*T2^8 - 15*T1^3*T2^9 - 308*T1^4*T2^9 + 795*T1^5*T2^9 - 
      108*T1^6*T2^9 - 909*T1^7*T2^9 + 2007*T1^8*T2^9 - 1032*T1^9*T2^9 + 
      93*T1^10*T2^9 + 610*T1^11*T2^9 - 291*T1^12*T2^9 + 83*T1^4*T2^10 - 
      24*T1^5*T2^10 - 586*T1^6*T2^10 + 1101*T1^7*T2^10 - 1150*T1^8*T2^10 + 
      93*T1^9*T2^10 + 566*T1^10*T2^10 - 672*T1^11*T2^10 + 227*T1^12*T2^10 - 
      77*T1^5*T2^11 + 234*T1^6*T2^11 - 186*T1^7*T2^11 - 128*T1^8*T2^11 + 
      610*T1^9*T2^11 - 672*T1^10*T2^11 + 432*T1^11*T2^11 - 113*T1^12*T2^11 + 
      25*T1^6*T2^12 - 113*T1^7*T2^12 + 227*T1^8*T2^12 - 291*T1^9*T2^12 + 
      227*T1^10*T2^12 - 113*T1^11*T2^12 + 25*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 842] -> 
  {(1 - 7*T + 21*T^2 - 38*T^3 + 47*T^4 - 38*T^5 + 21*T^6 - 7*T^7 + T^8)/T^4, 
   (-4 + 28*T1 - 84*T1^2 + 152*T1^3 - 188*T1^4 + 152*T1^5 - 84*T1^6 + 
     28*T1^7 - 4*T1^8 + 28*T2 - 175*T1*T2 + 441*T1^2*T2 - 623*T1^3*T2 + 
     518*T1^4*T2 - 77*T1^5*T2 - 210*T1^6*T2 + 245*T1^7*T2 - 119*T1^8*T2 + 
     21*T1^9*T2 - 84*T2^2 + 441*T1*T2^2 - 779*T1^2*T2^2 + 408*T1^3*T2^2 + 
     736*T1^4*T2^2 - 2095*T1^5*T2^2 + 1828*T1^6*T2^2 - 894*T1^7*T2^2 + 
     61*T1^8*T2^2 + 147*T1^9*T2^2 - 42*T1^10*T2^2 + 152*T2^3 - 623*T1*T2^3 + 
     408*T1^2*T2^3 + 1425*T1^3*T2^3 - 3632*T1^4*T2^3 + 4539*T1^5*T2^3 - 
     1230*T1^6*T2^3 - 1115*T1^7*T2^3 + 1755*T1^8*T2^3 - 810*T1^9*T2^3 + 
     28*T1^10*T2^3 + 38*T1^11*T2^3 - 188*T2^4 + 518*T1*T2^4 + 736*T1^2*T2^4 - 
     3632*T1^3*T2^4 + 4781*T1^4*T2^4 - 2653*T1^5*T2^4 - 4631*T1^6*T2^4 + 
     5351*T1^7*T2^4 - 3063*T1^8*T2^4 - 136*T1^9*T2^4 + 960*T1^10*T2^4 - 
     266*T1^11*T2^4 + 152*T2^5 - 77*T1*T2^5 - 2095*T1^2*T2^5 + 
     4539*T1^3*T2^5 - 2653*T1^4*T2^5 - 2645*T1^5*T2^5 + 10383*T1^6*T2^5 - 
     4534*T1^7*T2^5 - 1451*T1^8*T2^5 + 4566*T1^9*T2^5 - 2584*T1^10*T2^5 + 
     26*T1^11*T2^5 + 266*T1^12*T2^5 - 38*T1^13*T2^5 - 84*T2^6 - 210*T1*T2^6 + 
     1828*T1^2*T2^6 - 1230*T1^3*T2^6 - 4631*T1^4*T2^6 + 10383*T1^5*T2^6 - 
     12217*T1^6*T2^6 - 2557*T1^7*T2^6 + 8643*T1^8*T2^6 - 6655*T1^9*T2^6 + 
     339*T1^10*T2^6 + 2508*T1^11*T2^6 - 1000*T1^12*T2^6 - 28*T1^13*T2^6 + 
     42*T1^14*T2^6 + 28*T2^7 + 245*T1*T2^7 - 894*T1^2*T2^7 - 1115*T1^3*T2^7 + 
     5351*T1^4*T2^7 - 4534*T1^5*T2^7 - 2557*T1^6*T2^7 + 17576*T1^7*T2^7 - 
     13176*T1^8*T2^7 + 1177*T1^9*T2^7 + 6141*T1^10*T2^7 - 5008*T1^11*T2^7 + 
     284*T1^12*T2^7 + 828*T1^13*T2^7 - 147*T1^14*T2^7 - 21*T1^15*T2^7 - 
     4*T2^8 - 119*T1*T2^8 + 61*T1^2*T2^8 + 1755*T1^3*T2^8 - 3063*T1^4*T2^8 - 
     1451*T1^5*T2^8 + 8643*T1^6*T2^8 - 13176*T1^7*T2^8 - 624*T1^8*T2^8 + 
     13052*T1^9*T2^8 - 10745*T1^10*T2^8 + 2791*T1^11*T2^8 + 2969*T1^12*T2^8 - 
     1835*T1^13*T2^8 - 65*T1^14*T2^8 + 119*T1^15*T2^8 + 4*T1^16*T2^8 + 
     21*T1*T2^9 + 147*T1^2*T2^9 - 810*T1^3*T2^9 - 136*T1^4*T2^9 + 
     4566*T1^5*T2^9 - 6655*T1^6*T2^9 + 1177*T1^7*T2^9 + 13052*T1^8*T2^9 - 
     17700*T1^9*T2^9 + 4911*T1^10*T2^9 + 4020*T1^11*T2^9 - 5793*T1^12*T2^9 + 
     1263*T1^13*T2^9 + 912*T1^14*T2^9 - 245*T1^15*T2^9 - 28*T1^16*T2^9 - 
     42*T1^2*T2^10 + 28*T1^3*T2^10 + 960*T1^4*T2^10 - 2584*T1^5*T2^10 + 
     339*T1^6*T2^10 + 6141*T1^7*T2^10 - 10745*T1^8*T2^10 + 4911*T1^9*T2^10 + 
     10115*T1^10*T2^10 - 10897*T1^11*T2^10 + 5309*T1^12*T2^10 + 
     1154*T1^13*T2^10 - 1868*T1^14*T2^10 + 210*T1^15*T2^10 + 84*T1^16*T2^10 + 
     38*T1^3*T2^11 - 266*T1^4*T2^11 + 26*T1^5*T2^11 + 2508*T1^6*T2^11 - 
     5008*T1^7*T2^11 + 2791*T1^8*T2^11 + 4020*T1^9*T2^11 - 
     10897*T1^10*T2^11 + 3985*T1^11*T2^11 + 2211*T1^12*T2^11 - 
     4615*T1^13*T2^11 + 2147*T1^14*T2^11 + 77*T1^15*T2^11 - 152*T1^16*T2^11 + 
     266*T1^5*T2^12 - 1000*T1^6*T2^12 + 284*T1^7*T2^12 + 2969*T1^8*T2^12 - 
     5793*T1^9*T2^12 + 5309*T1^10*T2^12 + 2211*T1^11*T2^12 - 
     4875*T1^12*T2^12 + 3780*T1^13*T2^12 - 776*T1^14*T2^12 - 
     518*T1^15*T2^12 + 188*T1^16*T2^12 - 38*T1^5*T2^13 - 28*T1^6*T2^13 + 
     828*T1^7*T2^13 - 1835*T1^8*T2^13 + 1263*T1^9*T2^13 + 1154*T1^10*T2^13 - 
     4615*T1^11*T2^13 + 3780*T1^12*T2^13 - 1505*T1^13*T2^13 - 
     390*T1^14*T2^13 + 623*T1^15*T2^13 - 152*T1^16*T2^13 + 42*T1^6*T2^14 - 
     147*T1^7*T2^14 - 65*T1^8*T2^14 + 912*T1^9*T2^14 - 1868*T1^10*T2^14 + 
     2147*T1^11*T2^14 - 776*T1^12*T2^14 - 390*T1^13*T2^14 + 775*T1^14*T2^14 - 
     441*T1^15*T2^14 + 84*T1^16*T2^14 - 21*T1^7*T2^15 + 119*T1^8*T2^15 - 
     245*T1^9*T2^15 + 210*T1^10*T2^15 + 77*T1^11*T2^15 - 518*T1^12*T2^15 + 
     623*T1^13*T2^15 - 441*T1^14*T2^15 + 175*T1^15*T2^15 - 28*T1^16*T2^15 + 
     4*T1^8*T2^16 - 28*T1^9*T2^16 + 84*T1^10*T2^16 - 152*T1^11*T2^16 + 
     188*T1^12*T2^16 - 152*T1^13*T2^16 + 84*T1^14*T2^16 - 28*T1^15*T2^16 + 
     4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 843] -> 
  {((3 - 3*T + T^2)*(1 - T + T^2)*(1 - 3*T + 3*T^2))/T^3, 
   (-111 + 552*T1 - 1248*T1^2 + 1575*T1^3 - 1248*T1^4 + 552*T1^5 - 111*T1^6 + 
     552*T2 - 2329*T1*T2 + 4138*T1^2*T2 - 3158*T1^3*T2 + 307*T1^4*T2 + 
     1933*T1^5*T2 - 1519*T1^6*T2 + 417*T1^7*T2 - 1248*T2^2 + 4138*T1*T2^2 - 
     4350*T1^2*T2^2 - 2513*T1^3*T2^2 + 8398*T1^4*T2^2 - 8225*T1^5*T2^2 + 
     1974*T1^6*T2^2 + 1078*T1^7*T2^2 - 636*T1^8*T2^2 + 1575*T2^3 - 
     3158*T1*T2^3 - 2513*T1^2*T2^3 + 15333*T1^3*T2^3 - 15672*T1^4*T2^3 + 
     4635*T1^5*T2^3 + 8145*T1^6*T2^3 - 6491*T1^7*T2^3 + 1117*T1^8*T2^3 + 
     414*T1^9*T2^3 - 1248*T2^4 + 307*T1*T2^4 + 8398*T1^2*T2^4 - 
     15672*T1^3*T2^4 - 246*T1^4*T2^4 + 18960*T1^5*T2^4 - 23718*T1^6*T2^4 + 
     6774*T1^7*T2^4 + 2920*T1^8*T2^4 - 1943*T1^9*T2^4 - 24*T1^10*T2^4 + 
     552*T2^5 + 1933*T1*T2^5 - 8225*T1^2*T2^5 + 4635*T1^3*T2^5 + 
     18960*T1^4*T2^5 - 27667*T1^5*T2^5 + 13987*T1^6*T2^5 + 10052*T1^7*T2^5 - 
     11394*T1^8*T2^5 + 2689*T1^9*T2^5 + 718*T1^10*T2^5 - 123*T1^11*T2^5 - 
     111*T2^6 - 1519*T1*T2^6 + 1974*T1^2*T2^6 + 8145*T1^3*T2^6 - 
     23718*T1^4*T2^6 + 13987*T1^5*T2^6 + 9792*T1^6*T2^6 - 23659*T1^7*T2^6 + 
     11090*T1^8*T2^6 + 1743*T1^9*T2^6 - 2754*T1^10*T2^6 + 371*T1^11*T2^6 + 
     51*T1^12*T2^6 + 417*T1*T2^7 + 1078*T1^2*T2^7 - 6491*T1^3*T2^7 + 
     6774*T1^4*T2^7 + 10052*T1^5*T2^7 - 23659*T1^6*T2^7 + 17995*T1^7*T2^7 + 
     1144*T1^8*T2^7 - 9255*T1^9*T2^7 + 4423*T1^10*T2^7 - 137*T1^11*T2^7 - 
     258*T1^12*T2^7 - 636*T1^2*T2^8 + 1117*T1^3*T2^8 + 2920*T1^4*T2^8 - 
     11394*T1^5*T2^8 + 11090*T1^6*T2^8 + 1144*T1^7*T2^8 - 12382*T1^8*T2^8 + 
     11052*T1^9*T2^8 - 2558*T1^10*T2^8 - 1133*T1^11*T2^8 + 588*T1^12*T2^8 + 
     414*T1^3*T2^9 - 1943*T1^4*T2^9 + 2689*T1^5*T2^9 + 1743*T1^6*T2^9 - 
     9255*T1^7*T2^9 + 11052*T1^8*T2^9 - 5445*T1^9*T2^9 - 1289*T1^10*T2^9 + 
     2332*T1^11*T2^9 - 747*T1^12*T2^9 - 24*T1^4*T2^10 + 718*T1^5*T2^10 - 
     2754*T1^6*T2^10 + 4423*T1^7*T2^10 - 2558*T1^8*T2^10 - 1289*T1^9*T2^10 + 
     3570*T1^10*T2^10 - 2342*T1^11*T2^10 + 588*T1^12*T2^10 - 123*T1^5*T2^11 + 
     371*T1^6*T2^11 - 137*T1^7*T2^11 - 1133*T1^8*T2^11 + 2332*T1^9*T2^11 - 
     2342*T1^10*T2^11 + 1181*T1^11*T2^11 - 258*T1^12*T2^11 + 51*T1^6*T2^12 - 
     258*T1^7*T2^12 + 588*T1^8*T2^12 - 747*T1^9*T2^12 + 588*T1^10*T2^12 - 
     258*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 844] -> 
  {(3 - 12*T + 16*T^2 - 13*T^3 + 16*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-57 + 231*T1 - 312*T1^2 + 255*T1^3 - 312*T1^4 + 231*T1^5 - 57*T1^6 + 
     231*T2 - 814*T1*T2 + 763*T1^2*T2 - 347*T1^3*T2 + 697*T1^4*T2 - 
     245*T1^5*T2 - 274*T1^6*T2 + 123*T1^7*T2 - 312*T2^2 + 763*T1*T2^2 + 
     336*T1^2*T2^2 - 1334*T1^3*T2^2 + 466*T1^4*T2^2 - 1430*T1^5*T2^2 + 
     1584*T1^6*T2^2 - 389*T1^7*T2^2 - 24*T1^8*T2^2 + 255*T2^3 - 347*T1*T2^3 - 
     1334*T1^2*T2^3 + 2091*T1^3*T2^3 - 555*T1^4*T2^3 + 1737*T1^5*T2^3 - 
     1413*T1^6*T2^3 - 326*T1^7*T2^3 + 481*T1^8*T2^3 - 96*T1^9*T2^3 - 
     312*T2^4 + 697*T1*T2^4 + 466*T1^2*T2^4 - 555*T1^3*T2^4 - 
     1170*T1^4*T2^4 - 1110*T1^5*T2^4 + 1014*T1^6*T2^4 + 1005*T1^7*T2^4 - 
     206*T1^8*T2^4 - 671*T1^9*T2^4 + 264*T1^10*T2^4 + 231*T2^5 - 
     245*T1*T2^5 - 1430*T1^2*T2^5 + 1737*T1^3*T2^5 - 1110*T1^4*T2^5 + 
     4778*T1^5*T2^5 - 2618*T1^6*T2^5 - 598*T1^7*T2^5 - 2019*T1^8*T2^5 + 
     1978*T1^9*T2^5 + 187*T1^10*T2^5 - 309*T1^11*T2^5 - 57*T2^6 - 
     274*T1*T2^6 + 1584*T1^2*T2^6 - 1413*T1^3*T2^6 + 1014*T1^4*T2^6 - 
     2618*T1^5*T2^6 - 2196*T1^6*T2^6 + 3710*T1^7*T2^6 + 1046*T1^8*T2^6 + 
     957*T1^9*T2^6 - 2928*T1^10*T2^6 + 806*T1^11*T2^6 + 105*T1^12*T2^6 + 
     123*T1*T2^7 - 389*T1^2*T2^7 - 326*T1^3*T2^7 + 1005*T1^4*T2^7 - 
     598*T1^5*T2^7 + 3710*T1^6*T2^7 - 3686*T1^7*T2^7 - 86*T1^8*T2^7 - 
     2751*T1^9*T2^7 + 3082*T1^10*T2^7 + 43*T1^11*T2^7 - 417*T1^12*T2^7 - 
     24*T1^2*T2^8 + 481*T1^3*T2^8 - 206*T1^4*T2^8 - 2019*T1^5*T2^8 + 
     1046*T1^6*T2^8 - 86*T1^7*T2^8 + 3230*T1^8*T2^8 - 459*T1^9*T2^8 - 
     878*T1^10*T2^8 - 887*T1^11*T2^8 + 552*T1^12*T2^8 - 96*T1^3*T2^9 - 
     671*T1^4*T2^9 + 1978*T1^5*T2^9 + 957*T1^6*T2^9 - 2751*T1^7*T2^9 - 
     459*T1^8*T2^9 - 2547*T1^9*T2^9 + 2986*T1^10*T2^9 + 157*T1^11*T2^9 - 
     447*T1^12*T2^9 + 264*T1^4*T2^10 + 187*T1^5*T2^10 - 2928*T1^6*T2^10 + 
     3082*T1^7*T2^10 - 878*T1^8*T2^10 + 2986*T1^9*T2^10 - 1680*T1^10*T2^10 - 
     965*T1^11*T2^10 + 552*T1^12*T2^10 - 309*T1^5*T2^11 + 806*T1^6*T2^11 + 
     43*T1^7*T2^11 - 887*T1^8*T2^11 + 157*T1^9*T2^11 - 965*T1^10*T2^11 + 
     1346*T1^11*T2^11 - 417*T1^12*T2^11 + 105*T1^6*T2^12 - 417*T1^7*T2^12 + 
     552*T1^8*T2^12 - 447*T1^9*T2^12 + 552*T1^10*T2^12 - 417*T1^11*T2^12 + 
     105*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 845] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-105 + 417*T1 - 757*T1^2 + 855*T1^3 - 757*T1^4 + 417*T1^5 - 105*T1^6 + 
     417*T2 - 1354*T1*T2 + 1799*T1^2*T2 - 1193*T1^3*T2 + 499*T1^4*T2 + 
     575*T1^5*T2 - 814*T1^6*T2 + 309*T1^7*T2 - 757*T2^2 + 1799*T1*T2^2 - 
     950*T1^2*T2^2 - 1347*T1^3*T2^2 + 2156*T1^4*T2^2 - 3063*T1^5*T2^2 + 
     1558*T1^6*T2^2 + 215*T1^7*T2^2 - 361*T1^8*T2^2 + 855*T2^3 - 
     1193*T1*T2^3 - 1347*T1^2*T2^3 + 3911*T1^3*T2^3 - 2675*T1^4*T2^3 + 
     2083*T1^5*T2^3 + 1235*T1^6*T2^3 - 2337*T1^7*T2^3 + 715*T1^8*T2^3 + 
     180*T1^9*T2^3 - 757*T2^4 + 499*T1*T2^4 + 2156*T1^2*T2^4 - 
     2675*T1^3*T2^4 - 1033*T1^4*T2^4 + 1771*T1^5*T2^4 - 3817*T1^6*T2^4 + 
     2125*T1^7*T2^4 + 764*T1^8*T2^4 - 869*T1^9*T2^4 + 35*T1^10*T2^4 + 
     417*T2^5 + 575*T1*T2^5 - 3063*T1^2*T2^5 + 2083*T1^3*T2^5 + 
     1771*T1^4*T2^5 - 832*T1^5*T2^5 + 790*T1^6*T2^5 + 1287*T1^7*T2^5 - 
     2591*T1^8*T2^5 + 831*T1^9*T2^5 + 359*T1^10*T2^5 - 123*T1^11*T2^5 - 
     105*T2^6 - 814*T1*T2^6 + 1558*T1^2*T2^6 + 1235*T1^3*T2^6 - 
     3817*T1^4*T2^6 + 790*T1^5*T2^6 + 624*T1^6*T2^6 - 1498*T1^7*T2^6 + 
     1363*T1^8*T2^6 + 941*T1^9*T2^6 - 1262*T1^10*T2^6 + 266*T1^11*T2^6 + 
     57*T1^12*T2^6 + 309*T1*T2^7 + 215*T1^2*T2^7 - 2337*T1^3*T2^7 + 
     2125*T1^4*T2^7 + 1287*T1^5*T2^7 - 1498*T1^6*T2^7 + 124*T1^7*T2^7 + 
     803*T1^8*T2^7 - 2549*T1^9*T2^7 + 1557*T1^10*T2^7 - T1^11*T2^7 - 
     231*T1^12*T2^7 - 361*T1^2*T2^8 + 715*T1^3*T2^8 + 764*T1^4*T2^8 - 
     2591*T1^5*T2^8 + 1363*T1^6*T2^8 + 803*T1^7*T2^8 - 1421*T1^8*T2^8 + 
     2209*T1^9*T2^8 - 628*T1^10*T2^8 - 653*T1^11*T2^8 + 431*T1^12*T2^8 + 
     180*T1^3*T2^9 - 869*T1^4*T2^9 + 831*T1^5*T2^9 + 941*T1^6*T2^9 - 
     2549*T1^7*T2^9 + 2209*T1^8*T2^9 - 1735*T1^9*T2^9 - 159*T1^10*T2^9 + 
     1039*T1^11*T2^9 - 495*T1^12*T2^9 + 35*T1^4*T2^10 + 359*T1^5*T2^10 - 
     1262*T1^6*T2^10 + 1557*T1^7*T2^10 - 628*T1^8*T2^10 - 159*T1^9*T2^10 + 
     1246*T1^10*T2^10 - 1225*T1^11*T2^10 + 431*T1^12*T2^10 - 123*T1^5*T2^11 + 
     266*T1^6*T2^11 - T1^7*T2^11 - 653*T1^8*T2^11 + 1039*T1^9*T2^11 - 
     1225*T1^10*T2^11 + 806*T1^11*T2^11 - 231*T1^12*T2^11 + 57*T1^6*T2^12 - 
     231*T1^7*T2^12 + 431*T1^8*T2^12 - 495*T1^9*T2^12 + 431*T1^10*T2^12 - 
     231*T1^11*T2^12 + 57*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 846] -> {(5 - 20*T + 31*T^2 - 20*T^3 + 5*T^4)/T^2, 
   (-260 + 1035*T1 - 1604*T1^2 + 1035*T1^3 - 260*T1^4 + 1035*T2 - 
     3586*T1*T2 + 4262*T1^2*T2 - 838*T1^3*T2 - 1086*T1^4*T2 + 535*T1^5*T2 - 
     1604*T2^2 + 4262*T1*T2^2 - 1499*T1^2*T2^2 - 6507*T1^3*T2^2 + 
     6561*T1^4*T2^2 - 1938*T1^5*T2^2 - 54*T1^6*T2^2 + 1035*T2^3 - 
     838*T1*T2^3 - 6507*T1^2*T2^3 + 15000*T1^3*T2^3 - 9120*T1^4*T2^3 - 
     307*T1^5*T2^3 + 2062*T1^6*T2^3 - 465*T1^7*T2^3 - 260*T2^4 - 
     1086*T1*T2^4 + 6561*T1^2*T2^4 - 9120*T1^3*T2^4 - 768*T1^4*T2^4 + 
     9680*T1^5*T2^4 - 6339*T1^6*T2^4 + 914*T1^7*T2^4 + 240*T1^8*T2^4 + 
     535*T1*T2^5 - 1938*T1^2*T2^5 - 307*T1^3*T2^5 + 9680*T1^4*T2^5 - 
     14440*T1^5*T2^5 + 5893*T1^6*T2^5 + 962*T1^7*T2^5 - 965*T1^8*T2^5 - 
     54*T1^2*T2^6 + 2062*T1^3*T2^6 - 6339*T1^4*T2^6 + 5893*T1^5*T2^6 + 
     1721*T1^6*T2^6 - 4138*T1^7*T2^6 + 1496*T1^8*T2^6 - 465*T1^3*T2^7 + 
     914*T1^4*T2^7 + 962*T1^5*T2^7 - 4138*T1^6*T2^7 + 3414*T1^7*T2^7 - 
     965*T1^8*T2^7 + 240*T1^4*T2^8 - 965*T1^5*T2^8 + 1496*T1^6*T2^8 - 
     965*T1^7*T2^8 + 240*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 847] -> {((1 - 3*T + T^2)^2*(1 - T + T^2))/T^3, 
   ((1 - 3*T1 + T1^2)*(1 - 3*T2 + T2^2)*(1 - 3*T1*T2 + T1^2*T2^2)*
     (-4 + 16*T1 - 20*T1^2 + 16*T1^3 - 4*T1^4 + 16*T2 - 55*T1*T2 + 
      44*T1^2*T2 - 19*T1^3*T2 - 20*T1^4*T2 + 9*T1^5*T2 - 20*T2^2 + 
      44*T1*T2^2 + 36*T1^2*T2^2 - 79*T1^3*T2^2 + 96*T1^4*T2^2 - 
      16*T1^5*T2^2 - 5*T1^6*T2^2 + 16*T2^3 - 19*T1*T2^3 - 79*T1^2*T2^3 + 
      90*T1^3*T2^3 - 50*T1^4*T2^3 - 39*T1^5*T2^3 + 24*T1^6*T2^3 - T1^7*T2^3 - 
      4*T2^4 - 20*T1*T2^4 + 96*T1^2*T2^4 - 50*T1^3*T2^4 - 48*T1^4*T2^4 + 
      86*T1^5*T2^4 - 34*T1^6*T2^4 - 4*T1^7*T2^4 + 2*T1^8*T2^4 + 9*T1*T2^5 - 
      16*T1^2*T2^5 - 39*T1^3*T2^5 + 86*T1^4*T2^5 - 54*T1^5*T2^5 + T1^6*T2^5 + 
      27*T1^7*T2^5 - 8*T1^8*T2^5 - 5*T1^2*T2^6 + 24*T1^3*T2^6 - 
      34*T1^4*T2^6 + T1^5*T2^6 + 26*T1^6*T2^6 - 36*T1^7*T2^6 + 10*T1^8*T2^6 - 
      T1^3*T2^7 - 4*T1^4*T2^7 + 27*T1^5*T2^7 - 36*T1^6*T2^7 + 31*T1^7*T2^7 - 
      8*T1^8*T2^7 + 2*T1^4*T2^8 - 8*T1^5*T2^8 + 10*T1^6*T2^8 - 8*T1^7*T2^8 + 
      2*T1^8*T2^8))/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 848] -> 
  {((1 - 4*T + 7*T^2 - 4*T^3 + T^4)*(1 - T + T^2 - T^3 + T^4))/T^4, 
   (-6 + 30*T1 - 72*T1^2 + 96*T1^3 - 102*T1^4 + 96*T1^5 - 72*T1^6 + 30*T1^7 - 
     6*T1^8 + 30*T2 - 125*T1*T2 + 235*T1^2*T2 - 180*T1^3*T2 + 110*T1^4*T2 - 
     55*T1^5*T2 - 40*T1^6*T2 + 150*T1^7*T2 - 95*T1^8*T2 + 25*T1^9*T2 - 
     72*T2^2 + 235*T1*T2^2 - 283*T1^2*T2^2 - 124*T1^3*T2^2 + 232*T1^4*T2^2 - 
     243*T1^5*T2^2 + 352*T1^6*T2^2 - 388*T1^7*T2^2 - 19*T1^8*T2^2 + 
     115*T1^9*T2^2 - 48*T1^10*T2^2 + 96*T2^3 - 180*T1*T2^3 - 124*T1^2*T2^3 + 
     950*T1^3*T2^3 - 580*T1^4*T2^3 + 318*T1^5*T2^3 - 318*T1^6*T2^3 + 
     44*T1^7*T2^3 + 746*T1^8*T2^3 - 340*T1^9*T2^3 + 48*T1^11*T2^3 - 
     102*T2^4 + 110*T1*T2^4 + 232*T1^2*T2^4 - 580*T1^3*T2^4 - 
     1013*T1^4*T2^4 + 1353*T1^5*T2^4 - 1197*T1^6*T2^4 + 1405*T1^7*T2^4 - 
     1685*T1^8*T2^4 + 92*T1^9*T2^4 + 248*T1^10*T2^4 - 70*T1^11*T2^4 - 
     34*T1^12*T2^4 + 96*T2^5 - 55*T1*T2^5 - 243*T1^2*T2^5 + 318*T1^3*T2^5 + 
     1353*T1^4*T2^5 - 701*T1^5*T2^5 + 183*T1^6*T2^5 - 373*T1^7*T2^5 + 
     425*T1^8*T2^5 + 1064*T1^9*T2^5 - 310*T1^10*T2^5 - 120*T1^11*T2^5 + 
     90*T1^12*T2^5 + 16*T1^13*T2^5 - 72*T2^6 - 40*T1*T2^6 + 352*T1^2*T2^6 - 
     318*T1^3*T2^6 - 1197*T1^4*T2^6 + 183*T1^5*T2^6 - 72*T1^6*T2^6 + 
     654*T1^7*T2^6 - 760*T1^8*T2^6 - 337*T1^9*T2^6 - 605*T1^10*T2^6 + 
     330*T1^11*T2^6 + 24*T1^12*T2^6 - 80*T1^13*T2^6 + 30*T2^7 + 150*T1*T2^7 - 
     388*T1^2*T2^7 + 44*T1^3*T2^7 + 1405*T1^4*T2^7 - 373*T1^5*T2^7 + 
     654*T1^6*T2^7 - 1325*T1^7*T2^7 + 937*T1^8*T2^7 + 278*T1^9*T2^7 + 
     255*T1^10*T2^7 + 330*T1^11*T2^7 - 388*T1^12*T2^7 + 116*T1^13*T2^7 + 
     25*T1^14*T2^7 - 5*T1^15*T2^7 - 6*T2^8 - 95*T1*T2^8 - 19*T1^2*T2^8 + 
     746*T1^3*T2^8 - 1685*T1^4*T2^8 + 425*T1^5*T2^8 - 760*T1^6*T2^8 + 
     937*T1^7*T2^8 + 276*T1^8*T2^8 - 1229*T1^9*T2^8 + 520*T1^10*T2^8 - 
     737*T1^11*T2^8 + 403*T1^12*T2^8 + 50*T1^13*T2^8 - 97*T1^14*T2^8 + 
     15*T1^15*T2^8 + 2*T1^16*T2^8 + 25*T1*T2^9 + 115*T1^2*T2^9 - 
     340*T1^3*T2^9 + 92*T1^4*T2^9 + 1064*T1^5*T2^9 - 337*T1^6*T2^9 + 
     278*T1^7*T2^9 - 1229*T1^8*T2^9 + 1033*T1^9*T2^9 - 98*T1^10*T2^9 + 
     291*T1^11*T2^9 - 11*T1^12*T2^9 - 340*T1^13*T2^9 + 164*T1^14*T2^9 - 
     10*T1^15*T2^9 - 10*T1^16*T2^9 - 48*T1^2*T2^10 + 248*T1^4*T2^10 - 
     310*T1^5*T2^10 - 605*T1^6*T2^10 + 255*T1^7*T2^10 + 520*T1^8*T2^10 - 
     98*T1^9*T2^10 - 168*T1^10*T2^10 - 265*T1^11*T2^10 - 13*T1^12*T2^10 + 
     338*T1^13*T2^10 - 80*T1^14*T2^10 - 40*T1^15*T2^10 + 24*T1^16*T2^10 + 
     48*T1^3*T2^11 - 70*T1^4*T2^11 - 120*T1^5*T2^11 + 330*T1^6*T2^11 + 
     330*T1^7*T2^11 - 737*T1^8*T2^11 + 291*T1^9*T2^11 - 265*T1^10*T2^11 + 
     389*T1^11*T2^11 + 41*T1^12*T2^11 - 298*T1^13*T2^11 + 3*T1^14*T2^11 + 
     75*T1^15*T2^11 - 32*T1^16*T2^11 - 34*T1^4*T2^12 + 90*T1^5*T2^12 + 
     24*T1^6*T2^12 - 388*T1^7*T2^12 + 403*T1^8*T2^12 - 11*T1^9*T2^12 - 
     13*T1^10*T2^12 + 41*T1^11*T2^12 - 269*T1^12*T2^12 + 284*T1^13*T2^12 + 
     40*T1^14*T2^12 - 90*T1^15*T2^12 + 34*T1^16*T2^12 + 16*T1^5*T2^13 - 
     80*T1^6*T2^13 + 116*T1^7*T2^13 + 50*T1^8*T2^13 - 340*T1^9*T2^13 + 
     338*T1^10*T2^13 - 298*T1^11*T2^13 + 284*T1^12*T2^13 - 154*T1^13*T2^13 - 
     100*T1^14*T2^13 + 100*T1^15*T2^13 - 32*T1^16*T2^13 + 25*T1^7*T2^14 - 
     97*T1^8*T2^14 + 164*T1^9*T2^14 - 80*T1^10*T2^14 + 3*T1^11*T2^14 + 
     40*T1^12*T2^14 - 100*T1^13*T2^14 + 167*T1^14*T2^14 - 95*T1^15*T2^14 + 
     24*T1^16*T2^14 - 5*T1^7*T2^15 + 15*T1^8*T2^15 - 10*T1^9*T2^15 - 
     40*T1^10*T2^15 + 75*T1^11*T2^15 - 90*T1^12*T2^15 + 100*T1^13*T2^15 - 
     95*T1^14*T2^15 + 45*T1^15*T2^15 - 10*T1^16*T2^15 + 2*T1^8*T2^16 - 
     10*T1^9*T2^16 + 24*T1^10*T2^16 - 32*T1^11*T2^16 + 34*T1^12*T2^16 - 
     32*T1^13*T2^16 + 24*T1^14*T2^16 - 10*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 849] -> 
  {-((3 - 17*T + 37*T^2 - 47*T^3 + 37*T^4 - 17*T^5 + 3*T^6)/T^3), 
   -((-138 + 781*T1 - 1694*T1^2 + 2150*T1^3 - 1694*T1^4 + 781*T1^5 - 
      138*T1^6 + 781*T2 - 3791*T1*T2 + 6011*T1^2*T2 - 4450*T1^3*T2 - 
      166*T1^4*T2 + 3257*T1^5*T2 - 2771*T1^6*T2 + 628*T1^7*T2 - 1694*T2^2 + 
      6011*T1*T2^2 - 1585*T1^2*T2^2 - 11501*T1^3*T2^2 + 21997*T1^4*T2^2 - 
      18161*T1^5*T2^2 + 5963*T1^6*T2^2 + 2237*T1^7*T2^2 - 1028*T1^8*T2^2 + 
      2150*T2^3 - 4450*T1*T2^3 - 11501*T1^2*T2^3 + 29022*T1^3*T2^3 - 
      27231*T1^4*T2^3 + 2763*T1^5*T2^3 + 16206*T1^6*T2^3 - 14572*T1^7*T2^3 + 
      854*T1^8*T2^3 + 881*T1^9*T2^3 - 1694*T2^4 - 166*T1*T2^4 + 
      21997*T1^2*T2^4 - 27231*T1^3*T2^4 + 4547*T1^4*T2^4 + 27005*T1^5*T2^4 - 
      28297*T1^6*T2^4 + 6233*T1^7*T2^4 + 11259*T1^8*T2^4 - 2920*T1^9*T2^4 - 
      362*T1^10*T2^4 + 781*T2^5 + 3257*T1*T2^5 - 18161*T1^2*T2^5 + 
      2763*T1^3*T2^5 + 27005*T1^4*T2^5 - 38477*T1^5*T2^5 + 10801*T1^6*T2^5 + 
      18014*T1^7*T2^5 - 20291*T1^8*T2^5 - 734*T1^9*T2^5 + 1931*T1^10*T2^5 + 
      16*T1^11*T2^5 - 138*T2^6 - 2771*T1*T2^6 + 5963*T1^2*T2^6 + 
      16206*T1^3*T2^6 - 28297*T1^4*T2^6 + 10801*T1^5*T2^6 + 24648*T1^6*T2^6 - 
      32953*T1^7*T2^6 + 12461*T1^8*T2^6 + 9894*T1^9*T2^6 - 3477*T1^10*T2^6 - 
      221*T1^11*T2^6 + 24*T1^12*T2^6 + 628*T1*T2^7 + 2237*T1^2*T2^7 - 
      14572*T1^3*T2^7 + 6233*T1^4*T2^7 + 18014*T1^5*T2^7 - 32953*T1^6*T2^7 + 
      16325*T1^7*T2^7 + 9023*T1^8*T2^7 - 16821*T1^9*T2^7 + 2855*T1^10*T2^7 + 
      911*T1^11*T2^7 - 137*T1^12*T2^7 - 1028*T1^2*T2^8 + 854*T1^3*T2^8 + 
      11259*T1^4*T2^8 - 20291*T1^5*T2^8 + 12461*T1^6*T2^8 + 9023*T1^7*T2^8 - 
      20383*T1^8*T2^8 + 13173*T1^9*T2^8 + 521*T1^10*T2^8 - 1900*T1^11*T2^8 + 
      304*T1^12*T2^8 + 881*T1^3*T2^9 - 2920*T1^4*T2^9 - 734*T1^5*T2^9 + 
      9894*T1^6*T2^9 - 16821*T1^7*T2^9 + 13173*T1^8*T2^9 - 2922*T1^9*T2^9 - 
      3805*T1^10*T2^9 + 2384*T1^11*T2^9 - 388*T1^12*T2^9 - 362*T1^4*T2^10 + 
      1931*T1^5*T2^10 - 3477*T1^6*T2^10 + 2855*T1^7*T2^10 + 521*T1^8*T2^10 - 
      3805*T1^9*T2^10 + 4071*T1^10*T2^10 - 1843*T1^11*T2^10 + 
      304*T1^12*T2^10 + 16*T1^5*T2^11 - 221*T1^6*T2^11 + 911*T1^7*T2^11 - 
      1900*T1^8*T2^11 + 2384*T1^9*T2^11 - 1843*T1^10*T2^11 + 
      799*T1^11*T2^11 - 137*T1^12*T2^11 + 24*T1^6*T2^12 - 137*T1^7*T2^12 + 
      304*T1^8*T2^12 - 388*T1^9*T2^12 + 304*T1^10*T2^12 - 137*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 850] -> 
  {((1 - T + T^2)*(1 + T - 2*T^2 + T^3 - 2*T^4 + T^5 + T^6))/T^4, 
   (-8 + 16*T1^2 - 32*T1^3 + 40*T1^4 - 32*T1^5 + 16*T1^6 - 8*T1^8 + T1^2*T2 - 
     T1^3*T2 - T1^6*T2 + T1^7*T2 + 16*T2^2 + T1*T2^2 - 22*T1^2*T2^2 + 
     61*T1^3*T2^2 - 96*T1^4*T2^2 + 104*T1^5*T2^2 - 84*T1^6*T2^2 + 
     45*T1^7*T2^2 - 10*T1^8*T2^2 + T1^9*T2^2 + 12*T1^10*T2^2 - 32*T2^3 - 
     T1*T2^3 + 61*T1^2*T2^3 - 128*T1^3*T2^3 + 139*T1^4*T2^3 - 81*T1^5*T2^3 - 
     9*T1^6*T2^3 + 79*T1^7*T2^3 - 92*T1^8*T2^3 + 37*T1^9*T2^3 - T1^10*T2^3 - 
     20*T1^11*T2^3 + 40*T2^4 - 96*T1^2*T2^4 + 139*T1^3*T2^4 - 126*T1^4*T2^4 + 
     66*T1^5*T2^4 - 14*T1^7*T2^4 - 6*T1^8*T2^4 + 59*T1^9*T2^4 - 
     56*T1^10*T2^4 + 20*T1^12*T2^4 - 32*T2^5 + 104*T1^2*T2^5 - 81*T1^3*T2^5 + 
     66*T1^4*T2^5 - 16*T1^5*T2^5 - 25*T1^6*T2^5 + 7*T1^7*T2^5 - 4*T1^8*T2^5 - 
     18*T1^9*T2^5 + 7*T1^10*T2^5 + 56*T1^11*T2^5 - 12*T1^13*T2^5 + 16*T2^6 - 
     T1*T2^6 - 84*T1^2*T2^6 - 9*T1^3*T2^6 - 25*T1^5*T2^6 + 22*T1^6*T2^6 + 
     20*T1^7*T2^6 - 2*T1^8*T2^6 + 7*T1^9*T2^6 - 57*T1^11*T2^6 - 
     40*T1^12*T2^6 - T1^13*T2^6 + 4*T1^14*T2^6 + T1*T2^7 + 45*T1^2*T2^7 + 
     79*T1^3*T2^7 - 14*T1^4*T2^7 + 7*T1^5*T2^7 + 20*T1^6*T2^7 - 
     44*T1^7*T2^7 - 8*T1^8*T2^7 + 20*T1^9*T2^7 - 25*T1^10*T2^7 + 
     54*T1^11*T2^7 + 59*T1^12*T2^7 + 21*T1^13*T2^7 + T1^14*T2^7 - 8*T2^8 - 
     10*T1^2*T2^8 - 92*T1^3*T2^8 - 6*T1^4*T2^8 - 4*T1^5*T2^8 - 2*T1^6*T2^8 - 
     8*T1^7*T2^8 + 60*T1^8*T2^8 - 40*T1^9*T2^8 + 14*T1^10*T2^8 - 
     4*T1^11*T2^8 - 78*T1^12*T2^8 - 28*T1^13*T2^8 - 10*T1^14*T2^8 + 
     T1^2*T2^9 + 37*T1^3*T2^9 + 59*T1^4*T2^9 - 18*T1^5*T2^9 + 7*T1^6*T2^9 + 
     20*T1^7*T2^9 - 40*T1^8*T2^9 - 4*T1^9*T2^9 + 20*T1^10*T2^9 - 
     25*T1^11*T2^9 + 50*T1^12*T2^9 + 39*T1^13*T2^9 + 13*T1^14*T2^9 + 
     T1^15*T2^9 + 12*T1^2*T2^10 - T1^3*T2^10 - 56*T1^4*T2^10 + 7*T1^5*T2^10 - 
     25*T1^7*T2^10 + 14*T1^8*T2^10 + 20*T1^9*T2^10 - 10*T1^10*T2^10 + 
     7*T1^11*T2^10 - 41*T1^13*T2^10 - 12*T1^14*T2^10 - T1^15*T2^10 - 
     20*T1^3*T2^11 + 56*T1^5*T2^11 - 57*T1^6*T2^11 + 54*T1^7*T2^11 - 
     4*T1^8*T2^11 - 25*T1^9*T2^11 + 7*T1^10*T2^11 + 8*T1^11*T2^11 - 
     30*T1^12*T2^11 + 31*T1^13*T2^11 + 8*T1^14*T2^11 + 20*T1^4*T2^12 - 
     40*T1^6*T2^12 + 59*T1^7*T2^12 - 78*T1^8*T2^12 + 50*T1^9*T2^12 - 
     30*T1^11*T2^12 + 42*T1^12*T2^12 - 21*T1^13*T2^12 - 12*T1^5*T2^13 - 
     T1^6*T2^13 + 21*T1^7*T2^13 - 28*T1^8*T2^13 + 39*T1^9*T2^13 - 
     41*T1^10*T2^13 + 31*T1^11*T2^13 - 21*T1^12*T2^13 + 8*T1^13*T2^13 - 
     3*T1^14*T2^13 - T1^15*T2^13 + 4*T1^6*T2^14 + T1^7*T2^14 - 
     10*T1^8*T2^14 + 13*T1^9*T2^14 - 12*T1^10*T2^14 + 8*T1^11*T2^14 - 
     3*T1^13*T2^14 + 2*T1^14*T2^14 + T1^15*T2^14 + T1^9*T2^15 - T1^10*T2^15 - 
     T1^13*T2^15 + T1^14*T2^15)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 851] -> 
  {(2 - T - 3*T^2 + 5*T^3 - 3*T^4 - T^5 + 2*T^6)/T^3, 
   -((49 - 24*T1 - 74*T1^2 + 123*T1^3 - 74*T1^4 - 24*T1^5 + 49*T1^6 - 24*T2 - 
      8*T1*T2 + 38*T1^2*T2 - 22*T1^3*T2 - 6*T1^4*T2 + 34*T1^5*T2 - 
      14*T1^6*T2 - 20*T1^7*T2 - 74*T2^2 + 38*T1*T2^2 + 77*T1^2*T2^2 - 
      163*T1^3*T2^2 + 159*T1^4*T2^2 - 91*T1^5*T2^2 + 17*T1^6*T2^2 + 
      26*T1^7*T2^2 - 50*T1^8*T2^2 + 123*T2^3 - 22*T1*T2^3 - 163*T1^2*T2^3 + 
      227*T1^3*T2^3 - 111*T1^4*T2^3 - 75*T1^5*T2^3 + 143*T1^6*T2^3 - 
      64*T1^7*T2^3 + 2*T1^8*T2^3 + 63*T1^9*T2^3 - 74*T2^4 - 6*T1*T2^4 + 
      159*T1^2*T2^4 - 111*T1^3*T2^4 - 69*T1^4*T2^4 + 185*T1^5*T2^4 - 
      129*T1^6*T2^4 - 41*T1^7*T2^4 + 77*T1^8*T2^4 - 10*T1^9*T2^4 - 
      26*T1^10*T2^4 - 24*T2^5 + 34*T1*T2^5 - 91*T1^2*T2^5 - 75*T1^3*T2^5 + 
      185*T1^4*T2^5 - 114*T1^5*T2^5 - 6*T1^6*T2^5 + 98*T1^7*T2^5 - 
      43*T1^8*T2^5 - 82*T1^9*T2^5 + 6*T1^10*T2^5 - 4*T1^11*T2^5 + 49*T2^6 - 
      14*T1*T2^6 + 17*T1^2*T2^6 + 143*T1^3*T2^6 - 129*T1^4*T2^6 - 
      6*T1^5*T2^6 + 60*T1^6*T2^6 - 70*T1^7*T2^6 + 13*T1^8*T2^6 + 
      53*T1^9*T2^6 + 57*T1^10*T2^6 + 2*T1^11*T2^6 + T1^12*T2^6 - 20*T1*T2^7 + 
      26*T1^2*T2^7 - 64*T1^3*T2^7 - 41*T1^4*T2^7 + 98*T1^5*T2^7 - 
      70*T1^6*T2^7 + 38*T1^7*T2^7 + 11*T1^8*T2^7 - 9*T1^9*T2^7 - 
      55*T1^10*T2^7 - 2*T1^11*T2^7 - 50*T1^2*T2^8 + 2*T1^3*T2^8 + 
      77*T1^4*T2^8 - 43*T1^5*T2^8 + 13*T1^6*T2^8 + 11*T1^7*T2^8 - 
      47*T1^8*T2^8 + 27*T1^9*T2^8 - 5*T1^10*T2^8 - 2*T1^11*T2^8 - 
      2*T1^12*T2^8 + 63*T1^3*T2^9 - 10*T1^4*T2^9 - 82*T1^5*T2^9 + 
      53*T1^6*T2^9 - 9*T1^7*T2^9 + 27*T1^8*T2^9 - 31*T1^9*T2^9 + 
      17*T1^10*T2^9 + 14*T1^11*T2^9 + 3*T1^12*T2^9 - 26*T1^4*T2^10 + 
      6*T1^5*T2^10 + 57*T1^6*T2^10 - 55*T1^7*T2^10 - 5*T1^8*T2^10 + 
      17*T1^9*T2^10 - 3*T1^10*T2^10 - 6*T1^11*T2^10 - 2*T1^12*T2^10 - 
      4*T1^5*T2^11 + 2*T1^6*T2^11 - 2*T1^7*T2^11 - 2*T1^8*T2^11 + 
      14*T1^9*T2^11 - 6*T1^10*T2^11 - 4*T1^11*T2^11 + T1^6*T2^12 - 
      2*T1^8*T2^12 + 3*T1^9*T2^12 - 2*T1^10*T2^12 + T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 852] -> 
  {(1 - 5*T + 14*T^2 - 26*T^3 + 33*T^4 - 26*T^5 + 14*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 56*T1^2 + 104*T1^3 - 132*T1^4 + 104*T1^5 - 56*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 205*T1^2*T2 - 310*T1^3*T2 + 
     270*T1^4*T2 - 25*T1^5*T2 - 110*T1^6*T2 + 110*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 56*T2^2 + 205*T1*T2^2 - 435*T1^2*T2^2 + 538*T1^3*T2^2 - 
     277*T1^4*T2^2 - 305*T1^5*T2^2 + 255*T1^6*T2^2 - 50*T1^7*T2^2 - 
     71*T1^8*T2^2 + 65*T1^9*T2^2 - 28*T1^10*T2^2 + 104*T2^3 - 310*T1*T2^3 + 
     538*T1^2*T2^3 - 416*T1^3*T2^3 - 212*T1^4*T2^3 + 950*T1^5*T2^3 - 
     60*T1^6*T2^3 - 376*T1^7*T2^3 + 360*T1^8*T2^3 - 134*T1^9*T2^3 + 
     10*T1^10*T2^3 + 26*T1^11*T2^3 - 132*T2^4 + 270*T1*T2^4 - 277*T1^2*T2^4 - 
     212*T1^3*T2^4 + 902*T1^4*T2^4 - 1012*T1^5*T2^4 - 1288*T1^6*T2^4 + 
     1156*T1^7*T2^4 - 334*T1^8*T2^4 - 264*T1^9*T2^4 + 271*T1^10*T2^4 - 
     130*T1^11*T2^4 + 104*T2^5 - 25*T1*T2^5 - 305*T1^2*T2^5 + 950*T1^3*T2^5 - 
     1012*T1^4*T2^5 - 187*T1^5*T2^5 + 3215*T1^6*T2^5 - 931*T1^7*T2^5 - 
     927*T1^8*T2^5 + 1147*T1^9*T2^5 - 416*T1^10*T2^5 - 14*T1^11*T2^5 + 
     130*T1^12*T2^5 - 26*T1^13*T2^5 - 56*T2^6 - 110*T1*T2^6 + 255*T1^2*T2^6 - 
     60*T1^3*T2^6 - 1288*T1^4*T2^6 + 3215*T1^5*T2^6 - 4339*T1^6*T2^6 - 
     1441*T1^7*T2^6 + 3389*T1^8*T2^6 - 1733*T1^9*T2^6 - 24*T1^10*T2^6 + 
     416*T1^11*T2^6 - 245*T1^12*T2^6 - 10*T1^13*T2^6 + 28*T1^14*T2^6 + 
     20*T2^7 + 110*T1*T2^7 - 50*T1^2*T2^7 - 376*T1^3*T2^7 + 1156*T1^4*T2^7 - 
     931*T1^5*T2^7 - 1441*T1^6*T2^7 + 7607*T1^7*T2^7 - 5775*T1^8*T2^7 + 
     343*T1^9*T2^7 + 1611*T1^10*T2^7 - 1039*T1^11*T2^7 + 236*T1^12*T2^7 + 
     118*T1^13*T2^7 - 65*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     71*T1^2*T2^8 + 360*T1^3*T2^8 - 334*T1^4*T2^8 - 927*T1^5*T2^8 + 
     3389*T1^6*T2^8 - 5775*T1^7*T2^8 + 432*T1^8*T2^8 + 5359*T1^9*T2^8 - 
     3703*T1^10*T2^8 + 1007*T1^11*T2^8 + 246*T1^12*T2^8 - 316*T1^13*T2^8 + 
     75*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     65*T1^2*T2^9 - 134*T1^3*T2^9 - 264*T1^4*T2^9 + 1147*T1^5*T2^9 - 
     1733*T1^6*T2^9 + 343*T1^7*T2^9 + 5359*T1^8*T2^9 - 8023*T1^9*T2^9 + 
     2127*T1^10*T2^9 + 809*T1^11*T2^9 - 1048*T1^12*T2^9 + 348*T1^13*T2^9 + 
     34*T1^14*T2^9 - 110*T1^15*T2^9 - 20*T1^16*T2^9 - 28*T1^2*T2^10 + 
     10*T1^3*T2^10 + 271*T1^4*T2^10 - 416*T1^5*T2^10 - 24*T1^6*T2^10 + 
     1611*T1^7*T2^10 - 3703*T1^8*T2^10 + 2127*T1^9*T2^10 + 4025*T1^10*T2^10 - 
     3337*T1^11*T2^10 + 1240*T1^12*T2^10 + 60*T1^13*T2^10 - 229*T1^14*T2^10 + 
     110*T1^15*T2^10 + 56*T1^16*T2^10 + 26*T1^3*T2^11 - 130*T1^4*T2^11 - 
     14*T1^5*T2^11 + 416*T1^6*T2^11 - 1039*T1^7*T2^11 + 1007*T1^8*T2^11 + 
     809*T1^9*T2^11 - 3337*T1^10*T2^11 + 267*T1^11*T2^11 + 1120*T1^12*T2^11 - 
     950*T1^13*T2^11 + 277*T1^14*T2^11 + 25*T1^15*T2^11 - 104*T1^16*T2^11 + 
     130*T1^5*T2^12 - 245*T1^6*T2^12 + 236*T1^7*T2^12 + 246*T1^8*T2^12 - 
     1048*T1^9*T2^12 + 1240*T1^10*T2^12 + 1120*T1^11*T2^12 - 
     990*T1^12*T2^12 + 184*T1^13*T2^12 + 303*T1^14*T2^12 - 270*T1^15*T2^12 + 
     132*T1^16*T2^12 - 26*T1^5*T2^13 - 10*T1^6*T2^13 + 118*T1^7*T2^13 - 
     316*T1^8*T2^13 + 348*T1^9*T2^13 + 60*T1^10*T2^13 - 950*T1^11*T2^13 + 
     184*T1^12*T2^13 + 460*T1^13*T2^13 - 554*T1^14*T2^13 + 310*T1^15*T2^13 - 
     104*T1^16*T2^13 + 28*T1^6*T2^14 - 65*T1^7*T2^14 + 75*T1^8*T2^14 + 
     34*T1^9*T2^14 - 229*T1^10*T2^14 + 277*T1^11*T2^14 + 303*T1^12*T2^14 - 
     554*T1^13*T2^14 + 439*T1^14*T2^14 - 205*T1^15*T2^14 + 56*T1^16*T2^14 - 
     15*T1^7*T2^15 + 55*T1^8*T2^15 - 110*T1^9*T2^15 + 110*T1^10*T2^15 + 
     25*T1^11*T2^15 - 270*T1^12*T2^15 + 310*T1^13*T2^15 - 205*T1^14*T2^15 + 
     85*T1^15*T2^15 - 20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 
     56*T1^10*T2^16 - 104*T1^11*T2^16 + 132*T1^12*T2^16 - 104*T1^13*T2^16 + 
     56*T1^14*T2^16 - 20*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 853] -> 
  {-((3 - 13*T + 28*T^2 - 37*T^3 + 28*T^4 - 13*T^5 + 3*T^6)/T^3), 
   -((-78 + 339*T1 - 730*T1^2 + 964*T1^3 - 730*T1^4 + 339*T1^5 - 78*T1^6 + 
      339*T2 - 1251*T1*T2 + 2206*T1^2*T2 - 2108*T1^3*T2 + 427*T1^4*T2 + 
      607*T1^5*T2 - 627*T1^6*T2 + 222*T1^7*T2 - 730*T2^2 + 2206*T1*T2^2 - 
      2832*T1^2*T2^2 + 878*T1^3*T2^2 + 3086*T1^4*T2^2 - 3154*T1^5*T2^2 + 
      1368*T1^6*T2^2 + 22*T1^7*T2^2 - 226*T1^8*T2^2 + 964*T2^3 - 
      2108*T1*T2^3 + 878*T1^2*T2^3 + 3423*T1^3*T2^3 - 7340*T1^4*T2^3 + 
      2667*T1^5*T2^3 + 1819*T1^6*T2^3 - 2622*T1^7*T2^3 + 1129*T1^8*T2^3 - 
      35*T1^9*T2^3 - 730*T2^4 + 427*T1*T2^4 + 3086*T1^2*T2^4 - 
      7340*T1^3*T2^4 + 6431*T1^4*T2^4 + 4331*T1^5*T2^4 - 8257*T1^6*T2^4 + 
      4278*T1^7*T2^4 - 12*T1^8*T2^4 - 1055*T1^9*T2^4 + 278*T1^10*T2^4 + 
      339*T2^5 + 607*T1*T2^5 - 3154*T1^2*T2^5 + 2667*T1^3*T2^5 + 
      4331*T1^4*T2^5 - 14589*T1^5*T2^5 + 11099*T1^6*T2^5 + 75*T1^7*T2^5 - 
      4118*T1^8*T2^5 + 2474*T1^9*T2^5 - 134*T1^10*T2^5 - 246*T1^11*T2^5 - 
      78*T2^6 - 627*T1*T2^6 + 1368*T1^2*T2^6 + 1819*T1^3*T2^6 - 
      8257*T1^4*T2^6 + 11099*T1^5*T2^6 - 1308*T1^6*T2^6 - 10335*T1^7*T2^6 + 
      7443*T1^8*T2^6 - 1635*T1^9*T2^6 - 1204*T1^10*T2^6 + 699*T1^11*T2^6 + 
      84*T1^12*T2^6 + 222*T1*T2^7 + 22*T1^2*T2^7 - 2622*T1^3*T2^7 + 
      4278*T1^4*T2^7 + 75*T1^5*T2^7 - 10335*T1^6*T2^7 + 15353*T1^7*T2^7 - 
      4181*T1^8*T2^7 - 2507*T1^9*T2^7 + 3006*T1^10*T2^7 - 719*T1^11*T2^7 - 
      363*T1^12*T2^7 - 226*T1^2*T2^8 + 1129*T1^3*T2^8 - 12*T1^4*T2^8 - 
      4118*T1^5*T2^8 + 7443*T1^6*T2^8 - 4181*T1^7*T2^8 - 7245*T1^8*T2^8 + 
      7500*T1^9*T2^8 - 3110*T1^10*T2^8 - 353*T1^11*T2^8 + 782*T1^12*T2^8 - 
      35*T1^3*T2^9 - 1055*T1^4*T2^9 + 2474*T1^5*T2^9 - 1635*T1^6*T2^9 - 
      2507*T1^7*T2^9 + 7500*T1^8*T2^9 - 3239*T1^9*T2^9 - 1026*T1^10*T2^9 + 
      2182*T1^11*T2^9 - 1034*T1^12*T2^9 + 278*T1^4*T2^10 - 134*T1^5*T2^10 - 
      1204*T1^6*T2^10 + 3006*T1^7*T2^10 - 3110*T1^8*T2^10 - 1026*T1^9*T2^10 + 
      2996*T1^10*T2^10 - 2318*T1^11*T2^10 + 782*T1^12*T2^10 - 
      246*T1^5*T2^11 + 699*T1^6*T2^11 - 719*T1^7*T2^11 - 353*T1^8*T2^11 + 
      2182*T1^9*T2^11 - 2318*T1^10*T2^11 + 1323*T1^11*T2^11 - 
      363*T1^12*T2^11 + 84*T1^6*T2^12 - 363*T1^7*T2^12 + 782*T1^8*T2^12 - 
      1034*T1^9*T2^12 + 782*T1^10*T2^12 - 363*T1^11*T2^12 + 84*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 854] -> 
  {((3 - 5*T + 3*T^2)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^3, 
   (-111 + 517*T1 - 1218*T1^2 + 1585*T1^3 - 1218*T1^4 + 517*T1^5 - 111*T1^6 + 
     517*T2 - 2018*T1*T2 + 3855*T1^2*T2 - 3097*T1^3*T2 + 95*T1^4*T2 + 
     1881*T1^5*T2 - 1304*T1^6*T2 + 391*T1^7*T2 - 1218*T2^2 + 3855*T1*T2^2 - 
     5458*T1^2*T2^2 + 126*T1^3*T2^2 + 6084*T1^4*T2^2 - 5616*T1^5*T2^2 + 
     482*T1^6*T2^2 + 1083*T1^7*T2^2 - 624*T1^8*T2^2 + 1585*T2^3 - 
     3097*T1*T2^3 + 126*T1^2*T2^3 + 11773*T1^3*T2^3 - 14275*T1^4*T2^3 + 
     2648*T1^5*T2^3 + 7861*T1^6*T2^3 - 4791*T1^7*T2^3 + 935*T1^8*T2^3 + 
     424*T1^9*T2^3 - 1218*T2^4 + 95*T1*T2^4 + 6084*T1^2*T2^4 - 
     14275*T1^3*T2^4 + 239*T1^4*T2^4 + 21309*T1^5*T2^4 - 22797*T1^6*T2^4 + 
     4817*T1^7*T2^4 + 2296*T1^8*T2^4 - 1837*T1^9*T2^4 - 30*T1^10*T2^4 + 
     517*T2^5 + 1881*T1*T2^5 - 5616*T1^2*T2^5 + 2648*T1^3*T2^5 + 
     21309*T1^4*T2^5 - 32775*T1^5*T2^5 + 13497*T1^6*T2^5 + 11442*T1^7*T2^5 - 
     9937*T1^8*T2^5 + 2601*T1^9*T2^5 + 663*T1^10*T2^5 - 113*T1^11*T2^5 - 
     111*T2^6 - 1304*T1*T2^6 + 482*T1^2*T2^6 + 7861*T1^3*T2^6 - 
     22797*T1^4*T2^6 + 13497*T1^5*T2^6 + 14808*T1^6*T2^6 - 26901*T1^7*T2^6 + 
     10613*T1^8*T2^6 + 919*T1^9*T2^6 - 2178*T1^10*T2^6 + 292*T1^11*T2^6 + 
     51*T1^12*T2^6 + 391*T1*T2^7 + 1083*T1^2*T2^7 - 4791*T1^3*T2^7 + 
     4817*T1^4*T2^7 + 11442*T1^5*T2^7 - 26901*T1^6*T2^7 + 19371*T1^7*T2^7 + 
     1575*T1^8*T2^7 - 7768*T1^9*T2^7 + 3426*T1^10*T2^7 - 135*T1^11*T2^7 - 
     239*T1^12*T2^7 - 624*T1^2*T2^8 + 935*T1^3*T2^8 + 2296*T1^4*T2^8 - 
     9937*T1^5*T2^8 + 10613*T1^6*T2^8 + 1575*T1^7*T2^8 - 12423*T1^8*T2^8 + 
     9155*T1^9*T2^8 - 1492*T1^10*T2^8 - 997*T1^11*T2^8 + 564*T1^12*T2^8 + 
     424*T1^3*T2^9 - 1837*T1^4*T2^9 + 2601*T1^5*T2^9 + 919*T1^6*T2^9 - 
     7768*T1^7*T2^9 + 9155*T1^8*T2^9 - 2993*T1^9*T2^9 - 2316*T1^10*T2^9 + 
     2195*T1^11*T2^9 - 737*T1^12*T2^9 - 30*T1^4*T2^10 + 663*T1^5*T2^10 - 
     2178*T1^6*T2^10 + 3426*T1^7*T2^10 - 1492*T1^8*T2^10 - 2316*T1^9*T2^10 + 
     3762*T1^10*T2^10 - 2109*T1^11*T2^10 + 564*T1^12*T2^10 - 113*T1^5*T2^11 + 
     292*T1^6*T2^11 - 135*T1^7*T2^11 - 997*T1^8*T2^11 + 2195*T1^9*T2^11 - 
     2109*T1^10*T2^11 + 1006*T1^11*T2^11 - 239*T1^12*T2^11 + 51*T1^6*T2^12 - 
     239*T1^7*T2^12 + 564*T1^8*T2^12 - 737*T1^9*T2^12 + 564*T1^10*T2^12 - 
     239*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 855] -> 
  {-((3 - 10*T + 18*T^2 - 23*T^3 + 18*T^4 - 10*T^5 + 3*T^6)/T^3), 
   -((-78 + 261*T1 - 471*T1^2 + 602*T1^3 - 471*T1^4 + 261*T1^5 - 78*T1^6 + 
      261*T2 - 702*T1*T2 + 1002*T1^2*T2 - 978*T1^3*T2 + 252*T1^4*T2 + 
      162*T1^5*T2 - 312*T1^6*T2 + 171*T1^7*T2 - 471*T2^2 + 1002*T1*T2^2 - 
      1055*T1^2*T2^2 + 611*T1^3*T2^2 + 759*T1^4*T2^2 - 793*T1^5*T2^2 + 
      565*T1^6*T2^2 - 78*T1^7*T2^2 - 147*T1^8*T2^2 + 602*T2^3 - 978*T1*T2^3 + 
      611*T1^2*T2^3 + 51*T1^3*T2^3 - 1348*T1^4*T2^3 + 236*T1^5*T2^3 + 
      393*T1^6*T2^3 - 775*T1^7*T2^3 + 552*T1^8*T2^3 - 19*T1^9*T2^3 - 
      471*T2^4 + 252*T1*T2^4 + 759*T1^2*T2^4 - 1348*T1^3*T2^4 + 
      1731*T1^4*T2^4 + 535*T1^5*T2^4 - 1009*T1^6*T2^4 + 584*T1^7*T2^4 + 
      47*T1^8*T2^4 - 528*T1^9*T2^4 + 177*T1^10*T2^4 + 261*T2^5 + 
      162*T1*T2^5 - 793*T1^2*T2^5 + 236*T1^3*T2^5 + 535*T1^4*T2^5 - 
      2358*T1^5*T2^5 + 1446*T1^6*T2^5 + 283*T1^7*T2^5 - 652*T1^8*T2^5 + 
      665*T1^9*T2^5 + 42*T1^10*T2^5 - 189*T1^11*T2^5 - 78*T2^6 - 
      312*T1*T2^6 + 565*T1^2*T2^6 + 393*T1^3*T2^6 - 1009*T1^4*T2^6 + 
      1446*T1^5*T2^6 - 60*T1^6*T2^6 - 1518*T1^7*T2^6 + 483*T1^8*T2^6 - 
      129*T1^9*T2^6 - 519*T1^10*T2^6 + 348*T1^11*T2^6 + 84*T1^12*T2^6 + 
      171*T1*T2^7 - 78*T1^2*T2^7 - 775*T1^3*T2^7 + 584*T1^4*T2^7 + 
      283*T1^5*T2^7 - 1518*T1^6*T2^7 + 2286*T1^7*T2^7 + 31*T1^8*T2^7 - 
      304*T1^9*T2^7 + 683*T1^10*T2^7 - 198*T1^11*T2^7 - 279*T1^12*T2^7 - 
      147*T1^2*T2^8 + 552*T1^3*T2^8 + 47*T1^4*T2^8 - 652*T1^5*T2^8 + 
      483*T1^6*T2^8 + 31*T1^7*T2^8 - 2257*T1^8*T2^8 + 1280*T1^9*T2^8 - 
      665*T1^10*T2^8 - 228*T1^11*T2^8 + 501*T1^12*T2^8 - 19*T1^3*T2^9 - 
      528*T1^4*T2^9 + 665*T1^5*T2^9 - 129*T1^6*T2^9 - 304*T1^7*T2^9 + 
      1280*T1^8*T2^9 + 213*T1^9*T2^9 - 721*T1^10*T2^9 + 1002*T1^11*T2^9 - 
      640*T1^12*T2^9 + 177*T1^4*T2^10 + 42*T1^5*T2^10 - 519*T1^6*T2^10 + 
      683*T1^7*T2^10 - 665*T1^8*T2^10 - 721*T1^9*T2^10 + 1101*T1^10*T2^10 - 
      1038*T1^11*T2^10 + 501*T1^12*T2^10 - 189*T1^5*T2^11 + 348*T1^6*T2^11 - 
      198*T1^7*T2^11 - 228*T1^8*T2^11 + 1002*T1^9*T2^11 - 1038*T1^10*T2^11 + 
      738*T1^11*T2^11 - 279*T1^12*T2^11 + 84*T1^6*T2^12 - 279*T1^7*T2^12 + 
      501*T1^8*T2^12 - 640*T1^9*T2^12 + 501*T1^10*T2^12 - 279*T1^11*T2^12 + 
      84*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 856] -> 
  {-((5 - 14*T + 17*T^2 - 14*T^3 + 5*T^4)/T^2), 
   -((-135 + 393*T1 - 487*T1^2 + 393*T1^3 - 135*T1^4 + 393*T2 - 1100*T1*T2 + 
      1251*T1^2*T2 - 919*T1^3*T2 + 230*T1^4*T2 + 43*T1^5*T2 - 487*T2^2 + 
      1251*T1*T2^2 - 904*T1^2*T2^2 - 104*T1^3*T2^2 + 1136*T1^4*T2^2 - 
      1129*T1^5*T2^2 + 363*T1^6*T2^2 + 393*T2^3 - 919*T1*T2^3 - 
      104*T1^2*T2^3 + 1510*T1^3*T2^3 - 1878*T1^4*T2^3 + 848*T1^5*T2^3 + 
      831*T1^6*T2^3 - 657*T1^7*T2^3 - 135*T2^4 + 230*T1*T2^4 + 
      1136*T1^2*T2^4 - 1878*T1^3*T2^4 + 360*T1^4*T2^4 + 1426*T1^5*T2^4 - 
      2652*T1^6*T2^4 + 790*T1^7*T2^4 + 365*T1^8*T2^4 + 43*T1*T2^5 - 
      1129*T1^2*T2^5 + 848*T1^3*T2^5 + 1426*T1^4*T2^5 - 1962*T1^5*T2^5 + 
      1800*T1^6*T2^5 + 621*T1^7*T2^5 - 1007*T1^8*T2^5 + 363*T1^2*T2^6 + 
      831*T1^3*T2^6 - 2652*T1^4*T2^6 + 1800*T1^5*T2^6 - 612*T1^6*T2^6 - 
      1549*T1^7*T2^6 + 1213*T1^8*T2^6 - 657*T1^3*T2^7 + 790*T1^4*T2^7 + 
      621*T1^5*T2^7 - 1549*T1^6*T2^7 + 2120*T1^7*T2^7 - 1007*T1^8*T2^7 + 
      365*T1^4*T2^8 - 1007*T1^5*T2^8 + 1213*T1^6*T2^8 - 1007*T1^7*T2^8 + 
      365*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 857] -> 
  {-((1 - 6*T + 17*T^2 - 29*T^3 + 33*T^4 - 29*T^5 + 17*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 51*T1^2 + 87*T1^3 - 99*T1^4 + 87*T1^5 - 51*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 234*T1^2*T2 - 318*T1^3*T2 + 
      246*T1^4*T2 - 126*T1^5*T2 - 42*T1^6*T2 + 96*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 51*T2^2 + 234*T1*T2^2 - 454*T1^2*T2^2 + 367*T1^3*T2^2 + 
      91*T1^4*T2^2 - 366*T1^5*T2^2 + 635*T1^6*T2^2 - 415*T1^7*T2^2 + 
      90*T1^8*T2^2 + 30*T1^9*T2^2 - 17*T1^10*T2^2 + 87*T2^3 - 318*T1*T2^3 + 
      367*T1^2*T2^3 + 295*T1^3*T2^3 - 1247*T1^4*T2^3 + 1194*T1^5*T2^3 - 
      1128*T1^6*T2^3 + 52*T1^7*T2^3 + 559*T1^8*T2^3 - 398*T1^9*T2^3 + 
      102*T1^10*T2^3 - 99*T2^4 + 246*T1*T2^4 + 91*T1^2*T2^4 - 
      1247*T1^3*T2^4 + 1912*T1^4*T2^4 - 496*T1^5*T2^4 - 236*T1^6*T2^4 + 
      2036*T1^7*T2^4 - 1868*T1^8*T2^4 + 493*T1^9*T2^4 + 247*T1^10*T2^4 - 
      198*T1^11*T2^4 + 33*T1^12*T2^4 + 87*T2^5 - 126*T1*T2^5 - 
      366*T1^2*T2^5 + 1194*T1^3*T2^5 - 496*T1^4*T2^5 - 2418*T1^5*T2^5 + 
      2798*T1^6*T2^5 - 3779*T1^7*T2^5 + 1444*T1^8*T2^5 + 1200*T1^9*T2^5 - 
      1248*T1^10*T2^5 + 240*T1^11*T2^5 + 150*T1^12*T2^5 - 58*T1^13*T2^5 - 
      51*T2^6 - 42*T1*T2^6 + 635*T1^2*T2^6 - 1128*T1^3*T2^6 - 236*T1^4*T2^6 + 
      2798*T1^5*T2^6 - 1442*T1^6*T2^6 + 1114*T1^7*T2^6 + 2134*T1^8*T2^6 - 
      3694*T1^9*T2^6 + 898*T1^10*T2^6 + 1014*T1^11*T2^6 - 685*T1^12*T2^6 + 
      42*T1^13*T2^6 + 51*T1^14*T2^6 + 18*T2^7 + 96*T1*T2^7 - 415*T1^2*T2^7 + 
      52*T1^3*T2^7 + 2036*T1^4*T2^7 - 3779*T1^5*T2^7 + 1114*T1^6*T2^7 + 
      100*T1^7*T2^7 - 2636*T1^8*T2^7 + 2041*T1^9*T2^7 + 2968*T1^10*T2^7 - 
      3004*T1^11*T2^7 + 517*T1^12*T2^7 + 452*T1^13*T2^7 - 162*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 90*T1^2*T2^8 + 559*T1^3*T2^8 - 
      1868*T1^4*T2^8 + 1444*T1^5*T2^8 + 2134*T1^6*T2^8 - 2636*T1^7*T2^8 + 
      1656*T1^8*T2^8 + 1096*T1^9*T2^8 - 5688*T1^10*T2^8 + 1728*T1^11*T2^8 + 
      1692*T1^12*T2^8 - 1255*T1^13*T2^8 + 86*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 30*T1^2*T2^9 - 398*T1^3*T2^9 + 
      493*T1^4*T2^9 + 1200*T1^5*T2^9 - 3694*T1^6*T2^9 + 2041*T1^7*T2^9 + 
      1096*T1^8*T2^9 - 1640*T1^9*T2^9 + 2968*T1^10*T2^9 + 3053*T1^11*T2^9 - 
      3840*T1^12*T2^9 + 958*T1^13*T2^9 + 469*T1^14*T2^9 - 228*T1^15*T2^9 - 
      30*T1^16*T2^9 - 17*T1^2*T2^10 + 102*T1^3*T2^10 + 247*T1^4*T2^10 - 
      1248*T1^5*T2^10 + 898*T1^6*T2^10 + 2968*T1^7*T2^10 - 5688*T1^8*T2^10 + 
      2968*T1^9*T2^10 - 2112*T1^10*T2^10 - 3524*T1^11*T2^10 + 
      2032*T1^12*T2^10 + 894*T1^13*T2^10 - 1073*T1^14*T2^10 + 
      186*T1^15*T2^10 + 85*T1^16*T2^10 - 198*T1^4*T2^11 + 240*T1^5*T2^11 + 
      1014*T1^6*T2^11 - 3004*T1^7*T2^11 + 1728*T1^8*T2^11 + 3053*T1^9*T2^11 - 
      3524*T1^10*T2^11 + 5590*T1^11*T2^11 - 1308*T1^12*T2^11 - 
      1428*T1^13*T2^11 + 846*T1^14*T2^11 + 78*T1^15*T2^11 - 145*T1^16*T2^11 + 
      33*T1^4*T2^12 + 150*T1^5*T2^12 - 685*T1^6*T2^12 + 517*T1^7*T2^12 + 
      1692*T1^8*T2^12 - 3840*T1^9*T2^12 + 2032*T1^10*T2^12 - 
      1308*T1^11*T2^12 - 2088*T1^12*T2^12 + 2257*T1^13*T2^12 - 
      529*T1^14*T2^12 - 294*T1^15*T2^12 + 165*T1^16*T2^12 - 58*T1^5*T2^13 + 
      42*T1^6*T2^13 + 452*T1^7*T2^13 - 1255*T1^8*T2^13 + 958*T1^9*T2^13 + 
      894*T1^10*T2^13 - 1428*T1^11*T2^13 + 2257*T1^12*T2^13 - 
      991*T1^13*T2^13 - 313*T1^14*T2^13 + 462*T1^15*T2^13 - 145*T1^16*T2^13 + 
      51*T1^6*T2^14 - 162*T1^7*T2^14 + 86*T1^8*T2^14 + 469*T1^9*T2^14 - 
      1073*T1^10*T2^14 + 846*T1^11*T2^14 - 529*T1^12*T2^14 - 
      313*T1^13*T2^14 + 630*T1^14*T2^14 - 366*T1^15*T2^14 + 85*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 228*T1^9*T2^15 + 186*T1^10*T2^15 + 
      78*T1^11*T2^15 - 294*T1^12*T2^15 + 462*T1^13*T2^15 - 366*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      85*T1^10*T2^16 - 145*T1^11*T2^16 + 165*T1^12*T2^16 - 145*T1^13*T2^16 + 
      85*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 858] -> 
  {((1 - T + T^2)*(2 - 9*T + 15*T^2 - 9*T^3 + 2*T^4))/T^3, 
   (-15 + 83*T1 - 197*T1^2 + 251*T1^3 - 197*T1^4 + 83*T1^5 - 15*T1^6 + 
     83*T2 - 420*T1*T2 + 871*T1^2*T2 - 871*T1^3*T2 + 427*T1^4*T2 + 
     57*T1^5*T2 - 134*T1^6*T2 + 39*T1^7*T2 - 197*T2^2 + 871*T1*T2^2 - 
     1360*T1^2*T2^2 + 385*T1^3*T2^2 + 1188*T1^4*T2^2 - 1903*T1^5*T2^2 + 
     1136*T1^6*T2^2 - 273*T1^7*T2^2 + 11*T1^8*T2^2 + 251*T2^3 - 871*T1*T2^3 + 
     385*T1^2*T2^3 + 2640*T1^3*T2^3 - 5198*T1^4*T2^3 + 4350*T1^5*T2^3 - 
     1012*T1^6*T2^3 - 1045*T1^7*T2^3 + 735*T1^8*T2^3 - 145*T1^9*T2^3 - 
     197*T2^4 + 427*T1*T2^4 + 1188*T1^2*T2^4 - 5198*T1^3*T2^4 + 
     6198*T1^4*T2^4 - 904*T1^5*T2^4 - 4782*T1^6*T2^4 + 5362*T1^7*T2^4 - 
     1390*T1^8*T2^4 - 409*T1^9*T2^4 + 219*T1^10*T2^4 + 83*T2^5 + 57*T1*T2^5 - 
     1903*T1^2*T2^5 + 4350*T1^3*T2^5 - 904*T1^4*T2^5 - 8794*T1^5*T2^5 + 
     11512*T1^6*T2^5 - 5480*T1^7*T2^5 - 3174*T1^8*T2^5 + 2959*T1^9*T2^5 - 
     449*T1^10*T2^5 - 137*T1^11*T2^5 - 15*T2^6 - 134*T1*T2^6 + 
     1136*T1^2*T2^6 - 1012*T1^3*T2^6 - 4782*T1^4*T2^6 + 11512*T1^5*T2^6 - 
     4320*T1^6*T2^6 - 6880*T1^7*T2^6 + 12318*T1^8*T2^6 - 4092*T1^9*T2^6 - 
     860*T1^10*T2^6 + 570*T1^11*T2^6 + 33*T1^12*T2^6 + 39*T1*T2^7 - 
     273*T1^2*T2^7 - 1045*T1^3*T2^7 + 5362*T1^4*T2^7 - 5480*T1^5*T2^7 - 
     6880*T1^6*T2^7 + 13426*T1^7*T2^7 - 10056*T1^8*T2^7 - 2162*T1^9*T2^7 + 
     3817*T1^10*T2^7 - 779*T1^11*T2^7 - 181*T1^12*T2^7 + 11*T1^2*T2^8 + 
     735*T1^3*T2^8 - 1390*T1^4*T2^8 - 3174*T1^5*T2^8 + 12318*T1^6*T2^8 - 
     10056*T1^7*T2^8 + 1338*T1^8*T2^8 + 7386*T1^9*T2^8 - 3968*T1^10*T2^8 - 
     101*T1^11*T2^8 + 427*T1^12*T2^8 - 145*T1^3*T2^9 - 409*T1^4*T2^9 + 
     2959*T1^5*T2^9 - 4092*T1^6*T2^9 - 2162*T1^7*T2^9 + 7386*T1^8*T2^9 - 
     7744*T1^9*T2^9 + 1529*T1^10*T2^9 + 1197*T1^11*T2^9 - 541*T1^12*T2^9 + 
     219*T1^4*T2^10 - 449*T1^5*T2^10 - 860*T1^6*T2^10 + 3817*T1^7*T2^10 - 
     3968*T1^8*T2^10 + 1529*T1^9*T2^10 + 1636*T1^10*T2^10 - 
     1593*T1^11*T2^10 + 427*T1^12*T2^10 - 137*T1^5*T2^11 + 570*T1^6*T2^11 - 
     779*T1^7*T2^11 - 101*T1^8*T2^11 + 1197*T1^9*T2^11 - 1593*T1^10*T2^11 + 
     856*T1^11*T2^11 - 181*T1^12*T2^11 + 33*T1^6*T2^12 - 181*T1^7*T2^12 + 
     427*T1^8*T2^12 - 541*T1^9*T2^12 + 427*T1^10*T2^12 - 181*T1^11*T2^12 + 
     33*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 859] -> 
  {(1 - 6*T + 16*T^2 - 31*T^3 + 41*T^4 - 31*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-4 + 24*T1 - 64*T1^2 + 124*T1^3 - 164*T1^4 + 124*T1^5 - 64*T1^6 + 
     24*T1^7 - 4*T1^8 + 24*T2 - 126*T1*T2 + 276*T1^2*T2 - 456*T1^3*T2 + 
     426*T1^4*T2 - 6*T1^5*T2 - 174*T1^6*T2 + 144*T1^7*T2 - 84*T1^8*T2 + 
     18*T1^9*T2 - 64*T2^2 + 276*T1*T2^2 - 407*T1^2*T2^2 + 446*T1^3*T2^2 + 
     215*T1^4*T2^2 - 1457*T1^5*T2^2 + 1015*T1^6*T2^2 - 354*T1^7*T2^2 + 
     73*T1^8*T2^2 + 84*T1^9*T2^2 - 32*T1^10*T2^2 + 124*T2^3 - 456*T1*T2^3 + 
     446*T1^2*T2^3 - 375*T1^3*T2^3 - 919*T1^4*T2^3 + 2496*T1^5*T2^3 - 
     45*T1^6*T2^3 - 778*T1^7*T2^3 + 489*T1^8*T2^3 - 370*T1^9*T2^3 + 
     6*T1^10*T2^3 + 31*T1^11*T2^3 - 164*T2^4 + 426*T1*T2^4 + 215*T1^2*T2^4 - 
     919*T1^3*T2^4 + 3535*T1^4*T2^4 - 5160*T1^5*T2^4 - 267*T1^6*T2^4 + 
     40*T1^7*T2^4 + 795*T1^8*T2^4 - 423*T1^9*T2^4 + 607*T1^10*T2^4 - 
     186*T1^11*T2^4 + 124*T2^5 - 6*T1*T2^5 - 1457*T1^2*T2^5 + 
     2496*T1^3*T2^5 - 5160*T1^4*T2^5 + 4007*T1^5*T2^5 + 4561*T1^6*T2^5 + 
     125*T1^7*T2^5 - 2407*T1^8*T2^5 + 1189*T1^9*T2^5 - 1035*T1^10*T2^5 - 
     5*T1^11*T2^5 + 186*T1^12*T2^5 - 31*T1^13*T2^5 - 64*T2^6 - 174*T1*T2^6 + 
     1015*T1^2*T2^6 - 45*T1^3*T2^6 - 267*T1^4*T2^6 + 4561*T1^5*T2^6 - 
     9214*T1^6*T2^6 - 4766*T1^7*T2^6 + 6426*T1^8*T2^6 - 1455*T1^9*T2^6 + 
     285*T1^10*T2^6 + 1011*T1^11*T2^6 - 601*T1^12*T2^6 - 6*T1^13*T2^6 + 
     32*T1^14*T2^6 + 24*T2^7 + 144*T1*T2^7 - 354*T1^2*T2^7 - 778*T1^3*T2^7 + 
     40*T1^4*T2^7 + 125*T1^5*T2^7 - 4766*T1^6*T2^7 + 20005*T1^7*T2^7 - 
     11837*T1^8*T2^7 - 277*T1^9*T2^7 + 1401*T1^10*T2^7 - 1713*T1^11*T2^7 + 
     501*T1^12*T2^7 + 366*T1^13*T2^7 - 84*T1^14*T2^7 - 18*T1^15*T2^7 - 
     4*T2^8 - 84*T1*T2^8 + 73*T1^2*T2^8 + 489*T1^3*T2^8 + 795*T1^4*T2^8 - 
     2407*T1^5*T2^8 + 6426*T1^6*T2^8 - 11837*T1^7*T2^8 - 3132*T1^8*T2^8 + 
     13805*T1^9*T2^8 - 7232*T1^10*T2^8 + 3287*T1^11*T2^8 - 721*T1^12*T2^8 - 
     525*T1^13*T2^8 - 71*T1^14*T2^8 + 84*T1^15*T2^8 + 4*T1^16*T2^8 + 
     18*T1*T2^9 + 84*T1^2*T2^9 - 370*T1^3*T2^9 - 423*T1^4*T2^9 + 
     1189*T1^5*T2^9 - 1455*T1^6*T2^9 - 277*T1^7*T2^9 + 13805*T1^8*T2^9 - 
     18037*T1^9*T2^9 + 4212*T1^10*T2^9 - 179*T1^11*T2^9 - 564*T1^12*T2^9 + 
     856*T1^13*T2^9 + 350*T1^14*T2^9 - 144*T1^15*T2^9 - 24*T1^16*T2^9 - 
     32*T1^2*T2^10 + 6*T1^3*T2^10 + 607*T1^4*T2^10 - 1035*T1^5*T2^10 + 
     285*T1^6*T2^10 + 1401*T1^7*T2^10 - 7232*T1^8*T2^10 + 4212*T1^9*T2^10 + 
     8408*T1^10*T2^10 - 4615*T1^11*T2^10 + 837*T1^12*T2^10 + 21*T1^13*T2^10 - 
     1009*T1^14*T2^10 + 174*T1^15*T2^10 + 64*T1^16*T2^10 + 31*T1^3*T2^11 - 
     186*T1^4*T2^11 - 5*T1^5*T2^11 + 1011*T1^6*T2^11 - 1713*T1^7*T2^11 + 
     3287*T1^8*T2^11 - 179*T1^9*T2^11 - 4615*T1^10*T2^11 - 3127*T1^11*T2^11 + 
     4636*T1^12*T2^11 - 2520*T1^13*T2^11 + 1447*T1^14*T2^11 + 6*T1^15*T2^11 - 
     124*T1^16*T2^11 + 186*T1^5*T2^12 - 601*T1^6*T2^12 + 501*T1^7*T2^12 - 
     721*T1^8*T2^12 - 564*T1^9*T2^12 + 837*T1^10*T2^12 + 4636*T1^11*T2^12 - 
     3461*T1^12*T2^12 + 997*T1^13*T2^12 - 209*T1^14*T2^12 - 426*T1^15*T2^12 + 
     164*T1^16*T2^12 - 31*T1^5*T2^13 - 6*T1^6*T2^13 + 366*T1^7*T2^13 - 
     525*T1^8*T2^13 + 856*T1^9*T2^13 + 21*T1^10*T2^13 - 2520*T1^11*T2^13 + 
     997*T1^12*T2^13 + 339*T1^13*T2^13 - 450*T1^14*T2^13 + 456*T1^15*T2^13 - 
     124*T1^16*T2^13 + 32*T1^6*T2^14 - 84*T1^7*T2^14 - 71*T1^8*T2^14 + 
     350*T1^9*T2^14 - 1009*T1^10*T2^14 + 1447*T1^11*T2^14 - 209*T1^12*T2^14 - 
     450*T1^13*T2^14 + 409*T1^14*T2^14 - 276*T1^15*T2^14 + 64*T1^16*T2^14 - 
     18*T1^7*T2^15 + 84*T1^8*T2^15 - 144*T1^9*T2^15 + 174*T1^10*T2^15 + 
     6*T1^11*T2^15 - 426*T1^12*T2^15 + 456*T1^13*T2^15 - 276*T1^14*T2^15 + 
     126*T1^15*T2^15 - 24*T1^16*T2^15 + 4*T1^8*T2^16 - 24*T1^9*T2^16 + 
     64*T1^10*T2^16 - 124*T1^11*T2^16 + 164*T1^12*T2^16 - 124*T1^13*T2^16 + 
     64*T1^14*T2^16 - 24*T1^15*T2^16 + 4*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 860] -> 
  {(3 - 15*T + 33*T^2 - 41*T^3 + 33*T^4 - 15*T^5 + 3*T^6)/T^3, 
   (-51 + 258*T1 - 577*T1^2 + 723*T1^3 - 577*T1^4 + 258*T1^5 - 51*T1^6 + 
     258*T2 - 1177*T1*T2 + 2271*T1^2*T2 - 2211*T1^3*T2 + 1119*T1^4*T2 + 
     111*T1^5*T2 - 367*T1^6*T2 + 123*T1^7*T2 - 577*T2^2 + 2271*T1*T2^2 - 
     3247*T1^2*T2^2 + 858*T1^3*T2^2 + 2577*T1^4*T2^2 - 4290*T1^5*T2^2 + 
     2693*T1^6*T2^2 - 699*T1^7*T2^2 + 17*T1^8*T2^2 + 723*T2^3 - 
     2211*T1*T2^3 + 858*T1^2*T2^3 + 5724*T1^3*T2^3 - 10331*T1^4*T2^3 + 
     8587*T1^5*T2^3 - 1800*T1^6*T2^3 - 2409*T1^7*T2^3 + 1839*T1^8*T2^3 - 
     384*T1^9*T2^3 - 577*T2^4 + 1119*T1*T2^4 + 2577*T1^2*T2^4 - 
     10331*T1^3*T2^4 + 10274*T1^4*T2^4 - 328*T1^5*T2^4 - 9826*T1^6*T2^4 + 
     10333*T1^7*T2^4 - 2805*T1^8*T2^4 - 1131*T1^9*T2^4 + 611*T1^10*T2^4 + 
     258*T2^5 + 111*T1*T2^5 - 4290*T1^2*T2^5 + 8587*T1^3*T2^5 - 
     328*T1^4*T2^5 - 14881*T1^5*T2^5 + 18011*T1^6*T2^5 - 7357*T1^7*T2^5 - 
     6839*T1^8*T2^5 + 6501*T1^9*T2^5 - 969*T1^10*T2^5 - 417*T1^11*T2^5 - 
     51*T2^6 - 367*T1*T2^6 + 2693*T1^2*T2^6 - 1800*T1^3*T2^6 - 
     9826*T1^4*T2^6 + 18011*T1^5*T2^6 - 4848*T1^6*T2^6 - 12427*T1^7*T2^6 + 
     20396*T1^8*T2^6 - 6984*T1^9*T2^6 - 2491*T1^10*T2^6 + 1523*T1^11*T2^6 + 
     111*T1^12*T2^6 + 123*T1*T2^7 - 699*T1^2*T2^7 - 2409*T1^3*T2^7 + 
     10333*T1^4*T2^7 - 7357*T1^5*T2^7 - 12427*T1^6*T2^7 + 20465*T1^7*T2^7 - 
     14386*T1^8*T2^7 - 5093*T1^9*T2^7 + 8382*T1^10*T2^7 - 1779*T1^11*T2^7 - 
     552*T1^12*T2^7 + 17*T1^2*T2^8 + 1839*T1^3*T2^8 - 2805*T1^4*T2^8 - 
     6839*T1^5*T2^8 + 20396*T1^6*T2^8 - 14386*T1^7*T2^8 + 296*T1^8*T2^8 + 
     13825*T1^9*T2^8 - 8187*T1^10*T2^8 - 411*T1^11*T2^8 + 1205*T1^12*T2^8 - 
     384*T1^3*T2^9 - 1131*T1^4*T2^9 + 6501*T1^5*T2^9 - 6984*T1^6*T2^9 - 
     5093*T1^7*T2^9 + 13825*T1^8*T2^9 - 14508*T1^9*T2^9 + 3234*T1^10*T2^9 + 
     2919*T1^11*T2^9 - 1491*T1^12*T2^9 + 611*T1^4*T2^10 - 969*T1^5*T2^10 - 
     2491*T1^6*T2^10 + 8382*T1^7*T2^10 - 8187*T1^8*T2^10 + 3234*T1^9*T2^10 + 
     3449*T1^10*T2^10 - 3939*T1^11*T2^10 + 1205*T1^12*T2^10 - 
     417*T1^5*T2^11 + 1523*T1^6*T2^11 - 1779*T1^7*T2^11 - 411*T1^8*T2^11 + 
     2919*T1^9*T2^11 - 3939*T1^10*T2^11 + 2333*T1^11*T2^11 - 
     552*T1^12*T2^11 + 111*T1^6*T2^12 - 552*T1^7*T2^12 + 1205*T1^8*T2^12 - 
     1491*T1^9*T2^12 + 1205*T1^10*T2^12 - 552*T1^11*T2^12 + 111*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 861] -> 
  {(2 - 9*T + 22*T^2 - 29*T^3 + 22*T^4 - 9*T^5 + 2*T^6)/T^3, 
   (-33 + 147*T1 - 359*T1^2 + 473*T1^3 - 359*T1^4 + 147*T1^5 - 33*T1^6 + 
     147*T2 - 542*T1*T2 + 1103*T1^2*T2 - 901*T1^3*T2 + 17*T1^4*T2 + 
     545*T1^5*T2 - 344*T1^6*T2 + 111*T1^7*T2 - 359*T2^2 + 1103*T1*T2^2 - 
     1957*T1^2*T2^2 + 749*T1^3*T2^2 + 967*T1^4*T2^2 - 1011*T1^5*T2^2 - 
     197*T1^6*T2^2 + 311*T1^7*T2^2 - 183*T1^8*T2^2 + 473*T2^3 - 901*T1*T2^3 + 
     749*T1^2*T2^3 + 2676*T1^3*T2^3 - 3788*T1^4*T2^3 + 916*T1^5*T2^3 + 
     1932*T1^6*T2^3 - 901*T1^7*T2^3 + 269*T1^8*T2^3 + 125*T1^9*T2^3 - 
     359*T2^4 + 17*T1*T2^4 + 967*T1^2*T2^4 - 3788*T1^3*T2^4 - 342*T1^4*T2^4 + 
     6768*T1^5*T2^4 - 7262*T1^6*T2^4 + 1548*T1^7*T2^4 + 141*T1^8*T2^4 - 
     523*T1^9*T2^4 - 7*T1^10*T2^4 + 147*T2^5 + 545*T1*T2^5 - 1011*T1^2*T2^5 + 
     916*T1^3*T2^5 + 6768*T1^4*T2^5 - 10478*T1^5*T2^5 + 4636*T1^6*T2^5 + 
     3424*T1^7*T2^5 - 2524*T1^8*T2^5 + 1079*T1^9*T2^5 + 167*T1^10*T2^5 - 
     33*T1^11*T2^5 - 33*T2^6 - 344*T1*T2^6 - 197*T1^2*T2^6 + 1932*T1^3*T2^6 - 
     7262*T1^4*T2^6 + 4636*T1^5*T2^6 + 4152*T1^6*T2^6 - 8460*T1^7*T2^6 + 
     3230*T1^8*T2^6 - 348*T1^9*T2^6 - 649*T1^10*T2^6 + 88*T1^11*T2^6 + 
     15*T1^12*T2^6 + 111*T1*T2^7 + 311*T1^2*T2^7 - 901*T1^3*T2^7 + 
     1548*T1^4*T2^7 + 3424*T1^5*T2^7 - 8460*T1^6*T2^7 + 6654*T1^7*T2^7 + 
     80*T1^8*T2^7 - 1892*T1^9*T2^7 + 1189*T1^10*T2^7 - 67*T1^11*T2^7 - 
     69*T1^12*T2^7 - 183*T1^2*T2^8 + 269*T1^3*T2^8 + 141*T1^4*T2^8 - 
     2524*T1^5*T2^8 + 3230*T1^6*T2^8 + 80*T1^7*T2^8 - 3690*T1^8*T2^8 + 
     2812*T1^9*T2^8 - 685*T1^10*T2^8 - 271*T1^11*T2^8 + 169*T1^12*T2^8 + 
     125*T1^3*T2^9 - 523*T1^4*T2^9 + 1079*T1^5*T2^9 - 348*T1^6*T2^9 - 
     1892*T1^7*T2^9 + 2812*T1^8*T2^9 - 1092*T1^9*T2^9 - 571*T1^10*T2^9 + 
     647*T1^11*T2^9 - 223*T1^12*T2^9 - 7*T1^4*T2^10 + 167*T1^5*T2^10 - 
     649*T1^6*T2^10 + 1189*T1^7*T2^10 - 685*T1^8*T2^10 - 571*T1^9*T2^10 + 
     1111*T1^10*T2^10 - 625*T1^11*T2^10 + 169*T1^12*T2^10 - 33*T1^5*T2^11 + 
     88*T1^6*T2^11 - 67*T1^7*T2^11 - 271*T1^8*T2^11 + 647*T1^9*T2^11 - 
     625*T1^10*T2^11 + 286*T1^11*T2^11 - 69*T1^12*T2^11 + 15*T1^6*T2^12 - 
     69*T1^7*T2^12 + 169*T1^8*T2^12 - 223*T1^9*T2^12 + 169*T1^10*T2^12 - 
     69*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 862] -> 
  {(3 - 13*T + 29*T^2 - 37*T^3 + 29*T^4 - 13*T^5 + 3*T^6)/T^3, 
   (-111 + 482*T1 - 1078*T1^2 + 1375*T1^3 - 1078*T1^4 + 482*T1^5 - 111*T1^6 + 
     482*T2 - 1723*T1*T2 + 3084*T1^2*T2 - 2415*T1^3*T2 + 159*T1^4*T2 + 
     1446*T1^5*T2 - 1099*T1^6*T2 + 365*T1^7*T2 - 1078*T2^2 + 3084*T1*T2^2 - 
     4260*T1^2*T2^2 + 770*T1^3*T2^2 + 3190*T1^4*T2^2 - 3406*T1^5*T2^2 + 
     264*T1^6*T2^2 + 822*T1^7*T2^2 - 556*T1^8*T2^2 + 1375*T2^3 - 
     2415*T1*T2^3 + 770*T1^2*T2^3 + 6506*T1^3*T2^3 - 8251*T1^4*T2^3 + 
     2645*T1^5*T2^3 + 3992*T1^6*T2^3 - 2855*T1^7*T2^3 + 783*T1^8*T2^3 + 
     376*T1^9*T2^3 - 1078*T2^4 + 159*T1*T2^4 + 3190*T1^2*T2^4 - 
     8251*T1^3*T2^4 + 666*T1^4*T2^4 + 10468*T1^5*T2^4 - 13374*T1^6*T2^4 + 
     3885*T1^7*T2^4 + 776*T1^8*T2^4 - 1479*T1^9*T2^4 - 34*T1^10*T2^4 + 
     482*T2^5 + 1446*T1*T2^5 - 3406*T1^2*T2^5 + 2645*T1^3*T2^5 + 
     10468*T1^4*T2^5 - 16961*T1^5*T2^5 + 9475*T1^6*T2^5 + 4987*T1^7*T2^5 - 
     5771*T1^8*T2^5 + 2423*T1^9*T2^5 + 588*T1^10*T2^5 - 103*T1^11*T2^5 - 
     111*T2^6 - 1099*T1*T2^6 + 264*T1^2*T2^6 + 3992*T1^3*T2^6 - 
     13374*T1^4*T2^6 + 9475*T1^5*T2^6 + 4344*T1^6*T2^6 - 14019*T1^7*T2^6 + 
     6912*T1^8*T2^6 - 268*T1^9*T2^6 - 1912*T1^10*T2^6 + 227*T1^11*T2^6 + 
     51*T1^12*T2^6 + 365*T1*T2^7 + 822*T1^2*T2^7 - 2855*T1^3*T2^7 + 
     3885*T1^4*T2^7 + 4987*T1^5*T2^7 - 14019*T1^6*T2^7 + 12417*T1^7*T2^7 - 
     494*T1^8*T2^7 - 4531*T1^9*T2^7 + 2974*T1^10*T2^7 - 36*T1^11*T2^7 - 
     220*T1^12*T2^7 - 556*T1^2*T2^8 + 783*T1^3*T2^8 + 776*T1^4*T2^8 - 
     5771*T1^5*T2^8 + 6912*T1^6*T2^8 - 494*T1^7*T2^8 - 7128*T1^8*T2^8 + 
     6365*T1^9*T2^8 - 1638*T1^10*T2^8 - 855*T1^11*T2^8 + 488*T1^12*T2^8 + 
     376*T1^3*T2^9 - 1479*T1^4*T2^9 + 2423*T1^5*T2^9 - 268*T1^6*T2^9 - 
     4531*T1^7*T2^9 + 6365*T1^8*T2^9 - 2782*T1^9*T2^9 - 1202*T1^10*T2^9 + 
     1719*T1^11*T2^9 - 623*T1^12*T2^9 - 34*T1^4*T2^10 + 588*T1^5*T2^10 - 
     1912*T1^6*T2^10 + 2974*T1^7*T2^10 - 1638*T1^8*T2^10 - 1202*T1^9*T2^10 + 
     2612*T1^10*T2^10 - 1674*T1^11*T2^10 + 488*T1^12*T2^10 - 103*T1^5*T2^11 + 
     227*T1^6*T2^11 - 36*T1^7*T2^11 - 855*T1^8*T2^11 + 1719*T1^9*T2^11 - 
     1674*T1^10*T2^11 + 851*T1^11*T2^11 - 220*T1^12*T2^11 + 51*T1^6*T2^12 - 
     220*T1^7*T2^12 + 488*T1^8*T2^12 - 623*T1^9*T2^12 + 488*T1^10*T2^12 - 
     220*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 863] -> 
  {-(((1 - 3*T + T^2)*(3 - 7*T + 9*T^2 - 7*T^3 + 3*T^4))/T^3), 
   -((-138 + 734*T1 - 1509*T1^2 + 1874*T1^3 - 1509*T1^4 + 734*T1^5 - 
      138*T1^6 + 734*T2 - 3316*T1*T2 + 4876*T1^2*T2 - 3514*T1^3*T2 + 
      38*T1^4*T2 + 2524*T1^5*T2 - 2404*T1^6*T2 + 590*T1^7*T2 - 1509*T2^2 + 
      4876*T1*T2^2 - 617*T1^2*T2^2 - 9094*T1^3*T2^2 + 16261*T1^4*T2^2 - 
      14044*T1^5*T2^2 + 5323*T1^6*T2^2 + 1708*T1^7*T2^2 - 915*T1^8*T2^2 + 
      1874*T2^3 - 3514*T1*T2^3 - 9094*T1^2*T2^3 + 20197*T1^3*T2^3 - 
      18152*T1^4*T2^3 + 2839*T1^5*T2^3 + 10561*T1^6*T2^3 - 11239*T1^7*T2^3 + 
      806*T1^8*T2^3 + 767*T1^9*T2^3 - 1509*T2^4 + 38*T1*T2^4 + 
      16261*T1^2*T2^4 - 18152*T1^3*T2^4 + 3732*T1^4*T2^4 + 14578*T1^5*T2^4 - 
      17188*T1^6*T2^4 + 4972*T1^7*T2^4 + 8337*T1^8*T2^4 - 2362*T1^9*T2^4 - 
      321*T1^10*T2^4 + 734*T2^5 + 2524*T1*T2^5 - 14044*T1^2*T2^5 + 
      2839*T1^3*T2^5 + 14578*T1^4*T2^5 - 20555*T1^5*T2^5 + 6511*T1^6*T2^5 + 
      10057*T1^7*T2^5 - 13886*T1^8*T2^5 - 679*T1^9*T2^5 + 1612*T1^10*T2^5 + 
      14*T1^11*T2^5 - 138*T2^6 - 2404*T1*T2^6 + 5323*T1^2*T2^6 + 
      10561*T1^3*T2^6 - 17188*T1^4*T2^6 + 6511*T1^5*T2^6 + 12516*T1^6*T2^6 - 
      18083*T1^7*T2^6 + 7950*T1^8*T2^6 + 7291*T1^9*T2^6 - 2745*T1^10*T2^6 - 
      196*T1^11*T2^6 + 24*T1^12*T2^6 + 590*T1*T2^7 + 1708*T1^2*T2^7 - 
      11239*T1^3*T2^7 + 4972*T1^4*T2^7 + 10057*T1^5*T2^7 - 18083*T1^6*T2^7 + 
      8983*T1^7*T2^7 + 5536*T1^8*T2^7 - 11753*T1^9*T2^7 + 2126*T1^10*T2^7 + 
      796*T1^11*T2^7 - 130*T1^12*T2^7 - 915*T1^2*T2^8 + 806*T1^3*T2^8 + 
      8337*T1^4*T2^8 - 13886*T1^5*T2^8 + 7950*T1^6*T2^8 + 5536*T1^7*T2^8 - 
      12970*T1^8*T2^8 + 9238*T1^9*T2^8 + 413*T1^10*T2^8 - 1594*T1^11*T2^8 + 
      273*T1^12*T2^8 + 767*T1^3*T2^9 - 2362*T1^4*T2^9 - 679*T1^5*T2^9 + 
      7291*T1^6*T2^9 - 11753*T1^7*T2^9 + 9238*T1^8*T2^9 - 2345*T1^9*T2^9 - 
      2824*T1^10*T2^9 + 1958*T1^11*T2^9 - 340*T1^12*T2^9 - 321*T1^4*T2^10 + 
      1612*T1^5*T2^10 - 2745*T1^6*T2^10 + 2126*T1^7*T2^10 + 413*T1^8*T2^10 - 
      2824*T1^9*T2^10 + 3195*T1^10*T2^10 - 1556*T1^11*T2^10 + 
      273*T1^12*T2^10 + 14*T1^5*T2^11 - 196*T1^6*T2^11 + 796*T1^7*T2^11 - 
      1594*T1^8*T2^11 + 1958*T1^9*T2^11 - 1556*T1^10*T2^11 + 
      716*T1^11*T2^11 - 130*T1^12*T2^11 + 24*T1^6*T2^12 - 130*T1^7*T2^12 + 
      273*T1^8*T2^12 - 340*T1^9*T2^12 + 273*T1^10*T2^12 - 130*T1^11*T2^12 + 
      24*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 864] -> 
  {-((1 - 5*T + 15*T^2 - 28*T^3 + 33*T^4 - 28*T^5 + 15*T^6 - 5*T^7 + T^8)/
     T^4), -((-5 + 25*T1 - 75*T1^2 + 140*T1^3 - 165*T1^4 + 140*T1^5 - 
      75*T1^6 + 25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 275*T1^2*T2 - 
      400*T1^3*T2 + 265*T1^4*T2 - 40*T1^5*T2 - 185*T1^6*T2 + 175*T1^7*T2 - 
      75*T1^8*T2 + 20*T1^9*T2 - 75*T2^2 + 275*T1*T2^2 - 667*T1^2*T2^2 + 
      810*T1^3*T2^2 - 308*T1^4*T2^2 - T1^5*T2^2 + 232*T1^6*T2^2 + 
      120*T1^7*T2^2 - 247*T1^8*T2^2 + 125*T1^9*T2^2 - 45*T1^10*T2^2 + 
      140*T2^3 - 400*T1*T2^3 + 810*T1^2*T2^3 - 437*T1^3*T2^3 - 
      787*T1^4*T2^3 + 591*T1^5*T2^3 - 372*T1^6*T2^3 - 754*T1^7*T2^3 + 
      499*T1^8*T2^3 - 55*T1^10*T2^3 + 56*T1^11*T2^3 - 165*T2^4 + 
      265*T1*T2^4 - 308*T1^2*T2^4 - 787*T1^3*T2^4 + 1609*T1^4*T2^4 + 
      993*T1^5*T2^4 - 1915*T1^6*T2^4 + 2997*T1^7*T2^4 - 607*T1^8*T2^4 - 
      563*T1^9*T2^4 + 272*T1^10*T2^4 - 115*T1^11*T2^4 - 33*T1^12*T2^4 + 
      140*T2^5 - 40*T1*T2^5 - T1^2*T2^5 + 591*T1^3*T2^5 + 993*T1^4*T2^5 - 
      5793*T1^5*T2^5 + 4425*T1^6*T2^5 - 2710*T1^7*T2^5 - 2483*T1^8*T2^5 + 
      2328*T1^9*T2^5 - 394*T1^10*T2^5 - 46*T1^11*T2^5 + 165*T1^12*T2^5 - 
      75*T2^6 - 185*T1*T2^6 + 232*T1^2*T2^6 - 372*T1^3*T2^6 - 
      1915*T1^4*T2^6 + 4425*T1^5*T2^6 + 1890*T1^6*T2^6 - 5032*T1^7*T2^6 + 
      8090*T1^8*T2^6 - 2945*T1^9*T2^6 - 765*T1^10*T2^6 + 558*T1^11*T2^6 - 
      228*T1^12*T2^6 - 75*T1^13*T2^6 + 15*T1^14*T2^6 + 25*T2^7 + 
      175*T1*T2^7 + 120*T1^2*T2^7 - 754*T1^3*T2^7 + 2997*T1^4*T2^7 - 
      2710*T1^5*T2^7 - 5032*T1^6*T2^7 + 5506*T1^7*T2^7 - 3968*T1^8*T2^7 - 
      2830*T1^9*T2^7 + 3955*T1^10*T2^7 - 1014*T1^11*T2^7 - 23*T1^12*T2^7 + 
      210*T1^13*T2^7 - 25*T1^14*T2^7 - 10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 
      247*T1^2*T2^8 + 499*T1^3*T2^8 - 607*T1^4*T2^8 - 2483*T1^5*T2^8 + 
      8090*T1^6*T2^8 - 3968*T1^7*T2^8 - 1224*T1^8*T2^8 + 5616*T1^9*T2^8 - 
      3254*T1^10*T2^8 - 1005*T1^11*T2^8 + 1117*T1^12*T2^8 - 407*T1^13*T2^8 + 
      23*T1^14*T2^8 + 35*T1^15*T2^8 + 3*T1^16*T2^8 + 20*T1*T2^9 + 
      125*T1^2*T2^9 - 563*T1^4*T2^9 + 2328*T1^5*T2^9 - 2945*T1^6*T2^9 - 
      2830*T1^7*T2^9 + 5616*T1^8*T2^9 - 3858*T1^9*T2^9 - 628*T1^10*T2^9 + 
      3720*T1^11*T2^9 - 1683*T1^12*T2^9 + 168*T1^13*T2^9 + 90*T1^14*T2^9 - 
      75*T1^15*T2^9 - 15*T1^16*T2^9 - 45*T1^2*T2^10 - 55*T1^3*T2^10 + 
      272*T1^4*T2^10 - 394*T1^5*T2^10 - 765*T1^6*T2^10 + 3955*T1^7*T2^10 - 
      3254*T1^8*T2^10 - 628*T1^9*T2^10 + 2946*T1^10*T2^10 - 
      3415*T1^11*T2^10 + 385*T1^12*T2^10 + 536*T1^13*T2^10 - 
      188*T1^14*T2^10 + 55*T1^15*T2^10 + 45*T1^16*T2^10 + 56*T1^3*T2^11 - 
      115*T1^4*T2^11 - 46*T1^5*T2^11 + 558*T1^6*T2^11 - 1014*T1^7*T2^11 - 
      1005*T1^8*T2^11 + 3720*T1^9*T2^11 - 3415*T1^10*T2^11 + 
      2305*T1^11*T2^11 + 321*T1^12*T2^11 - 427*T1^13*T2^11 - 91*T1^14*T2^11 + 
      90*T1^15*T2^11 - 84*T1^16*T2^11 - 33*T1^4*T2^12 + 165*T1^5*T2^12 - 
      228*T1^6*T2^12 - 23*T1^7*T2^12 + 1117*T1^8*T2^12 - 1683*T1^9*T2^12 + 
      385*T1^10*T2^12 + 321*T1^11*T2^12 - 1099*T1^12*T2^12 + 
      201*T1^13*T2^12 + 352*T1^14*T2^12 - 215*T1^15*T2^12 + 99*T1^16*T2^12 - 
      75*T1^6*T2^13 + 210*T1^7*T2^13 - 407*T1^8*T2^13 + 168*T1^9*T2^13 + 
      536*T1^10*T2^13 - 427*T1^11*T2^13 + 201*T1^12*T2^13 + 529*T1^13*T2^13 - 
      600*T1^14*T2^13 + 270*T1^15*T2^13 - 84*T1^16*T2^13 + 15*T1^6*T2^14 - 
      25*T1^7*T2^14 + 23*T1^8*T2^14 + 90*T1^9*T2^14 - 188*T1^10*T2^14 - 
      91*T1^11*T2^14 + 352*T1^12*T2^14 - 600*T1^13*T2^14 + 443*T1^14*T2^14 - 
      175*T1^15*T2^14 + 45*T1^16*T2^14 - 10*T1^7*T2^15 + 35*T1^8*T2^15 - 
      75*T1^9*T2^15 + 55*T1^10*T2^15 + 90*T1^11*T2^15 - 215*T1^12*T2^15 + 
      270*T1^13*T2^15 - 175*T1^14*T2^15 + 65*T1^15*T2^15 - 15*T1^16*T2^15 + 
      3*T1^8*T2^16 - 15*T1^9*T2^16 + 45*T1^10*T2^16 - 84*T1^11*T2^16 + 
      99*T1^12*T2^16 - 84*T1^13*T2^16 + 45*T1^14*T2^16 - 15*T1^15*T2^16 + 
      3*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 865] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 7*T^2 - 11*T^3 + 7*T^4 - 3*T^5 + T^6))/T^4), 
   -((-3 + 12*T1 - 33*T1^2 + 63*T1^3 - 75*T1^4 + 63*T1^5 - 33*T1^6 + 
      12*T1^7 - 3*T1^8 + 12*T2 - 40*T1*T2 + 100*T1^2*T2 - 164*T1^3*T2 + 
      132*T1^4*T2 - 52*T1^5*T2 - 36*T1^6*T2 + 40*T1^7*T2 - 20*T1^8*T2 + 
      8*T1^9*T2 - 33*T2^2 + 100*T1*T2^2 - 245*T1^2*T2^2 + 385*T1^3*T2^2 - 
      284*T1^4*T2^2 + 143*T1^5*T2^2 + 24*T1^6*T2^2 + 11*T1^7*T2^2 - 
      25*T1^8*T2^2 + 12*T1^9*T2^2 - 11*T1^10*T2^2 + 63*T2^3 - 164*T1*T2^3 + 
      385*T1^2*T2^3 - 543*T1^3*T2^3 + 255*T1^4*T2^3 - 85*T1^5*T2^3 - 
      93*T1^6*T2^3 - 164*T1^7*T2^3 + 183*T1^8*T2^3 - 88*T1^9*T2^3 + 
      44*T1^10*T2^3 - 75*T2^4 + 132*T1*T2^4 - 284*T1^2*T2^4 + 255*T1^3*T2^4 + 
      253*T1^4*T2^4 - 122*T1^5*T2^4 + 15*T1^6*T2^4 + 530*T1^7*T2^4 - 
      203*T1^8*T2^4 - 165*T1^9*T2^4 + 144*T1^10*T2^4 - 100*T1^11*T2^4 + 
      25*T1^12*T2^4 + 63*T2^5 - 52*T1*T2^5 + 143*T1^2*T2^5 - 85*T1^3*T2^5 - 
      122*T1^4*T2^5 - 824*T1^5*T2^5 + 1193*T1^6*T2^5 - 1408*T1^7*T2^5 + 
      178*T1^8*T2^5 + 388*T1^9*T2^5 - 25*T1^10*T2^5 - 43*T1^11*T2^5 + 
      68*T1^12*T2^5 - 42*T1^13*T2^5 - 33*T2^6 - 36*T1*T2^6 + 24*T1^2*T2^6 - 
      93*T1^3*T2^6 + 15*T1^4*T2^6 + 1193*T1^5*T2^6 - 1026*T1^6*T2^6 + 
      142*T1^7*T2^6 + 1622*T1^8*T2^6 - 1479*T1^9*T2^6 + 109*T1^10*T2^6 + 
      17*T1^11*T2^6 - 44*T1^12*T2^6 + 36*T1^13*T2^6 + 33*T1^14*T2^6 + 
      12*T2^7 + 40*T1*T2^7 + 11*T1^2*T2^7 - 164*T1^3*T2^7 + 530*T1^4*T2^7 - 
      1408*T1^5*T2^7 + 142*T1^6*T2^7 + 2034*T1^7*T2^7 - 3100*T1^8*T2^7 + 
      1377*T1^9*T2^7 + 1051*T1^10*T2^7 - 548*T1^11*T2^7 + 251*T1^12*T2^7 - 
      110*T1^13*T2^7 - 68*T1^14*T2^7 - 16*T1^15*T2^7 - 3*T2^8 - 20*T1*T2^8 - 
      25*T1^2*T2^8 + 183*T1^3*T2^8 - 203*T1^4*T2^8 + 178*T1^5*T2^8 + 
      1622*T1^6*T2^8 - 3100*T1^7*T2^8 + 1152*T1^8*T2^8 + 1948*T1^9*T2^8 - 
      3684*T1^10*T2^8 + 1066*T1^11*T2^8 - 223*T1^12*T2^8 + 17*T1^13*T2^8 + 
      163*T1^14*T2^8 + 44*T1^15*T2^8 + 5*T1^16*T2^8 + 8*T1*T2^9 + 
      12*T1^2*T2^9 - 88*T1^3*T2^9 - 165*T1^4*T2^9 + 388*T1^5*T2^9 - 
      1479*T1^6*T2^9 + 1377*T1^7*T2^9 + 1948*T1^8*T2^9 - 3186*T1^9*T2^9 + 
      2612*T1^10*T2^9 + 980*T1^11*T2^9 - 690*T1^12*T2^9 + 250*T1^13*T2^9 - 
      209*T1^14*T2^9 - 96*T1^15*T2^9 - 20*T1^16*T2^9 - 11*T1^2*T2^10 + 
      44*T1^3*T2^10 + 144*T1^4*T2^10 - 25*T1^5*T2^10 + 109*T1^6*T2^10 + 
      1051*T1^7*T2^10 - 3684*T1^8*T2^10 + 2612*T1^9*T2^10 - 
      1036*T1^10*T2^10 - 1621*T1^11*T2^10 + 203*T1^12*T2^10 + 
      85*T1^13*T2^10 + 76*T1^14*T2^10 + 116*T1^15*T2^10 + 55*T1^16*T2^10 - 
      100*T1^4*T2^11 - 43*T1^5*T2^11 + 17*T1^6*T2^11 - 548*T1^7*T2^11 + 
      1066*T1^8*T2^11 + 980*T1^9*T2^11 - 1621*T1^10*T2^11 + 
      2068*T1^11*T2^11 - 38*T1^12*T2^11 + 77*T1^13*T2^11 - 229*T1^14*T2^11 + 
      20*T1^15*T2^11 - 105*T1^16*T2^11 + 25*T1^4*T2^12 + 68*T1^5*T2^12 - 
      44*T1^6*T2^12 + 251*T1^7*T2^12 - 223*T1^8*T2^12 - 690*T1^9*T2^12 + 
      203*T1^10*T2^12 - 38*T1^11*T2^12 - 679*T1^12*T2^12 - 169*T1^13*T2^12 + 
      384*T1^14*T2^12 - 164*T1^15*T2^12 + 125*T1^16*T2^12 - 42*T1^5*T2^13 + 
      36*T1^6*T2^13 - 110*T1^7*T2^13 + 17*T1^8*T2^13 + 250*T1^9*T2^13 + 
      85*T1^10*T2^13 + 77*T1^11*T2^13 - 169*T1^12*T2^13 + 743*T1^13*T2^13 - 
      583*T1^14*T2^13 + 244*T1^15*T2^13 - 105*T1^16*T2^13 + 33*T1^6*T2^14 - 
      68*T1^7*T2^14 + 163*T1^8*T2^14 - 209*T1^9*T2^14 + 76*T1^10*T2^14 - 
      229*T1^11*T2^14 + 384*T1^12*T2^14 - 583*T1^13*T2^14 + 383*T1^14*T2^14 - 
      156*T1^15*T2^14 + 55*T1^16*T2^14 - 16*T1^7*T2^15 + 44*T1^8*T2^15 - 
      96*T1^9*T2^15 + 116*T1^10*T2^15 + 20*T1^11*T2^15 - 164*T1^12*T2^15 + 
      244*T1^13*T2^15 - 156*T1^14*T2^15 + 64*T1^15*T2^15 - 20*T1^16*T2^15 + 
      5*T1^8*T2^16 - 20*T1^9*T2^16 + 55*T1^10*T2^16 - 105*T1^11*T2^16 + 
      125*T1^12*T2^16 - 105*T1^13*T2^16 + 55*T1^14*T2^16 - 20*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 866] -> 
  {(1 - 5*T + 15*T^2 - 30*T^3 + 39*T^4 - 30*T^5 + 15*T^6 - 5*T^7 + T^8)/T^4, 
   (-4 + 20*T1 - 60*T1^2 + 120*T1^3 - 156*T1^4 + 120*T1^5 - 60*T1^6 + 
     20*T1^7 - 4*T1^8 + 20*T2 - 85*T1*T2 + 225*T1^2*T2 - 375*T1^3*T2 + 
     330*T1^4*T2 - 15*T1^5*T2 - 150*T1^6*T2 + 125*T1^7*T2 - 55*T1^8*T2 + 
     15*T1^9*T2 - 60*T2^2 + 225*T1*T2^2 - 554*T1^2*T2^2 + 818*T1^3*T2^2 - 
     526*T1^4*T2^2 - 242*T1^5*T2^2 + 194*T1^6*T2^2 + 68*T1^7*T2^2 - 
     134*T1^8*T2^2 + 75*T1^9*T2^2 - 30*T1^10*T2^2 + 120*T2^3 - 375*T1*T2^3 + 
     818*T1^2*T2^3 - 915*T1^3*T2^3 - 2*T1^4*T2^3 + 1137*T1^5*T2^3 + 
     12*T1^6*T2^3 - 587*T1^7*T2^3 + 375*T1^8*T2^3 - 82*T1^9*T2^3 + 
     30*T1^11*T2^3 - 156*T2^4 + 330*T1*T2^4 - 526*T1^2*T2^4 - 2*T1^3*T2^4 + 
     1376*T1^4*T2^4 - 1505*T1^5*T2^4 - 2028*T1^6*T2^4 + 1795*T1^7*T2^4 - 
     196*T1^8*T2^4 - 482*T1^9*T2^4 + 314*T1^10*T2^4 - 150*T1^11*T2^4 + 
     120*T2^5 - 15*T1*T2^5 - 242*T1^2*T2^5 + 1137*T1^3*T2^5 - 
     1505*T1^4*T2^5 - 1197*T1^5*T2^5 + 6060*T1^6*T2^5 - 1665*T1^7*T2^5 - 
     2037*T1^8*T2^5 + 1780*T1^9*T2^5 - 438*T1^10*T2^5 - 17*T1^11*T2^5 + 
     150*T1^12*T2^5 - 30*T1^13*T2^5 - 60*T2^6 - 150*T1*T2^6 + 194*T1^2*T2^6 + 
     12*T1^3*T2^6 - 2028*T1^4*T2^6 + 6060*T1^5*T2^6 - 6689*T1^6*T2^6 - 
     4545*T1^7*T2^6 + 7651*T1^8*T2^6 - 3090*T1^9*T2^6 - 138*T1^10*T2^6 + 
     462*T1^11*T2^6 - 286*T1^12*T2^6 + 30*T1^14*T2^6 + 20*T2^7 + 
     125*T1*T2^7 + 68*T1^2*T2^7 - 587*T1^3*T2^7 + 1795*T1^4*T2^7 - 
     1665*T1^5*T2^7 - 4545*T1^6*T2^7 + 16096*T1^7*T2^7 - 11174*T1^8*T2^7 - 
     195*T1^9*T2^7 + 3210*T1^10*T2^7 - 1550*T1^11*T2^7 + 418*T1^12*T2^7 + 
     68*T1^13*T2^7 - 75*T1^14*T2^7 - 15*T1^15*T2^7 - 4*T2^8 - 55*T1*T2^8 - 
     134*T1^2*T2^8 + 375*T1^3*T2^8 - 196*T1^4*T2^8 - 2037*T1^5*T2^8 + 
     7651*T1^6*T2^8 - 11174*T1^7*T2^8 - 600*T1^8*T2^8 + 11586*T1^9*T2^8 - 
     7529*T1^10*T2^8 + 1773*T1^11*T2^8 + 116*T1^12*T2^8 - 315*T1^13*T2^8 + 
     136*T1^14*T2^8 + 55*T1^15*T2^8 + 4*T1^16*T2^8 + 15*T1*T2^9 + 
     75*T1^2*T2^9 - 82*T1^3*T2^9 - 482*T1^4*T2^9 + 1780*T1^5*T2^9 - 
     3090*T1^6*T2^9 - 195*T1^7*T2^9 + 11586*T1^8*T2^9 - 15684*T1^9*T2^9 + 
     4155*T1^10*T2^9 + 1785*T1^11*T2^9 - 1565*T1^12*T2^9 + 523*T1^13*T2^9 - 
     82*T1^14*T2^9 - 125*T1^15*T2^9 - 20*T1^16*T2^9 - 30*T1^2*T2^10 + 
     314*T1^4*T2^10 - 438*T1^5*T2^10 - 138*T1^6*T2^10 + 3210*T1^7*T2^10 - 
     7529*T1^8*T2^10 + 4155*T1^9*T2^10 + 6811*T1^10*T2^10 - 
     5940*T1^11*T2^10 + 1752*T1^12*T2^10 + 12*T1^13*T2^10 - 166*T1^14*T2^10 + 
     150*T1^15*T2^10 + 60*T1^16*T2^10 + 30*T1^3*T2^11 - 150*T1^4*T2^11 - 
     17*T1^5*T2^11 + 462*T1^6*T2^11 - 1550*T1^7*T2^11 + 1773*T1^8*T2^11 + 
     1785*T1^9*T2^11 - 5940*T1^10*T2^11 + 933*T1^11*T2^11 + 
     1735*T1^12*T2^11 - 1113*T1^13*T2^11 + 208*T1^14*T2^11 + 15*T1^15*T2^11 - 
     120*T1^16*T2^11 + 150*T1^5*T2^12 - 286*T1^6*T2^12 + 418*T1^7*T2^12 + 
     116*T1^8*T2^12 - 1565*T1^9*T2^12 + 1752*T1^10*T2^12 + 1735*T1^11*T2^12 - 
     1456*T1^12*T2^12 - 62*T1^13*T2^12 + 554*T1^14*T2^12 - 330*T1^15*T2^12 + 
     156*T1^16*T2^12 - 30*T1^5*T2^13 + 68*T1^7*T2^13 - 315*T1^8*T2^13 + 
     523*T1^9*T2^13 + 12*T1^10*T2^13 - 1113*T1^11*T2^13 - 62*T1^12*T2^13 + 
     975*T1^13*T2^13 - 832*T1^14*T2^13 + 375*T1^15*T2^13 - 120*T1^16*T2^13 + 
     30*T1^6*T2^14 - 75*T1^7*T2^14 + 136*T1^8*T2^14 - 82*T1^9*T2^14 - 
     166*T1^10*T2^14 + 208*T1^11*T2^14 + 554*T1^12*T2^14 - 832*T1^13*T2^14 + 
     556*T1^14*T2^14 - 225*T1^15*T2^14 + 60*T1^16*T2^14 - 15*T1^7*T2^15 + 
     55*T1^8*T2^15 - 125*T1^9*T2^15 + 150*T1^10*T2^15 + 15*T1^11*T2^15 - 
     330*T1^12*T2^15 + 375*T1^13*T2^15 - 225*T1^14*T2^15 + 85*T1^15*T2^15 - 
     20*T1^16*T2^15 + 4*T1^8*T2^16 - 20*T1^9*T2^16 + 60*T1^10*T2^16 - 
     120*T1^11*T2^16 + 156*T1^12*T2^16 - 120*T1^13*T2^16 + 60*T1^14*T2^16 - 
     20*T1^15*T2^16 + 4*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 867] -> 
  {-((2 - 14*T + 31*T^2 - 39*T^3 + 31*T^4 - 14*T^5 + 2*T^6)/T^3), 
   -((-7 + 50*T1 - 113*T1^2 + 143*T1^3 - 113*T1^4 + 50*T1^5 - 7*T1^6 + 
      50*T2 - 356*T1*T2 + 860*T1^2*T2 - 1102*T1^3*T2 + 858*T1^4*T2 - 
      400*T1^5*T2 + 92*T1^6*T2 - 6*T1^7*T2 - 113*T2^2 + 860*T1*T2^2 - 
      2133*T1^2*T2^2 + 2056*T1^3*T2^2 - 483*T1^4*T2^2 - 1044*T1^5*T2^2 + 
      1463*T1^6*T2^2 - 876*T1^7*T2^2 + 135*T1^8*T2^2 + 143*T2^3 - 
      1102*T1*T2^3 + 2056*T1^2*T2^3 + 2424*T1^3*T2^3 - 8849*T1^4*T2^3 + 
      11001*T1^5*T2^3 - 7512*T1^6*T2^3 + 1746*T1^7*T2^3 + 1306*T1^8*T2^3 - 
      325*T1^9*T2^3 - 113*T2^4 + 858*T1*T2^4 - 483*T1^2*T2^4 - 
      8849*T1^3*T2^4 + 13080*T1^4*T2^4 - 5324*T1^5*T2^4 - 7028*T1^6*T2^4 + 
      13147*T1^7*T2^4 - 8083*T1^8*T2^4 - 430*T1^9*T2^4 + 383*T1^10*T2^4 + 
      50*T2^5 - 400*T1*T2^5 - 1044*T1^2*T2^5 + 11001*T1^3*T2^5 - 
      5324*T1^4*T2^5 - 10297*T1^5*T2^5 + 17983*T1^6*T2^5 - 10687*T1^7*T2^5 - 
      4557*T1^8*T2^5 + 10426*T1^9*T2^5 - 1044*T1^10*T2^5 - 230*T1^11*T2^5 - 
      7*T2^6 + 92*T1*T2^6 + 1463*T1^2*T2^6 - 7512*T1^3*T2^6 - 
      7028*T1^4*T2^6 + 17983*T1^5*T2^6 - 10200*T1^6*T2^6 - 7667*T1^7*T2^6 + 
      18878*T1^8*T2^6 - 11052*T1^9*T2^6 - 4925*T1^10*T2^6 + 1324*T1^11*T2^6 + 
      41*T1^12*T2^6 - 6*T1*T2^7 - 876*T1^2*T2^7 + 1746*T1^3*T2^7 + 
      13147*T1^4*T2^7 - 10687*T1^5*T2^7 - 7667*T1^6*T2^7 + 20613*T1^7*T2^7 - 
      16050*T1^8*T2^7 - 2411*T1^9*T2^7 + 13216*T1^10*T2^7 - 1520*T1^11*T2^7 - 
      286*T1^12*T2^7 + 135*T1^2*T2^8 + 1306*T1^3*T2^8 - 8083*T1^4*T2^8 - 
      4557*T1^5*T2^8 + 18878*T1^6*T2^8 - 16050*T1^7*T2^8 - 1230*T1^8*T2^8 + 
      17439*T1^9*T2^8 - 15683*T1^10*T2^8 + 18*T1^11*T2^8 + 631*T1^12*T2^8 - 
      325*T1^3*T2^9 - 430*T1^4*T2^9 + 10426*T1^5*T2^9 - 11052*T1^6*T2^9 - 
      2411*T1^7*T2^9 + 17439*T1^8*T2^9 - 20988*T1^9*T2^9 + 10116*T1^10*T2^9 + 
      1978*T1^11*T2^9 - 793*T1^12*T2^9 + 383*T1^4*T2^10 - 1044*T1^5*T2^10 - 
      4925*T1^6*T2^10 + 13216*T1^7*T2^10 - 15683*T1^8*T2^10 + 
      10116*T1^9*T2^10 - 1329*T1^10*T2^10 - 2780*T1^11*T2^10 + 
      631*T1^12*T2^10 - 230*T1^5*T2^11 + 1324*T1^6*T2^11 - 1520*T1^7*T2^11 + 
      18*T1^8*T2^11 + 1978*T1^9*T2^11 - 2780*T1^10*T2^11 + 1772*T1^11*T2^11 - 
      286*T1^12*T2^11 + 41*T1^6*T2^12 - 286*T1^7*T2^12 + 631*T1^8*T2^12 - 
      793*T1^9*T2^12 + 631*T1^10*T2^12 - 286*T1^11*T2^12 + 41*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 868] -> 
  {(2 - 8*T + 13*T^2 - 8*T^3 + 2*T^4)/T^2, 
   (-19 + 73*T1 - 119*T1^2 + 73*T1^3 - 19*T1^4 + 73*T2 - 238*T1*T2 + 
     306*T1^2*T2 - 30*T1^3*T2 - 78*T1^4*T2 + 41*T1^5*T2 - 119*T2^2 + 
     306*T1*T2^2 - 244*T1^2*T2^2 - 356*T1^3*T2^2 + 328*T1^4*T2^2 - 
     110*T1^5*T2^2 - 15*T1^6*T2^2 + 73*T2^3 - 30*T1*T2^3 - 356*T1^2*T2^3 + 
     1074*T1^3*T2^3 - 630*T1^4*T2^3 + 60*T1^5*T2^3 + 146*T1^6*T2^3 - 
     23*T1^7*T2^3 - 19*T2^4 - 78*T1*T2^4 + 328*T1^2*T2^4 - 630*T1^3*T2^4 - 
     72*T1^4*T2^4 + 650*T1^5*T2^4 - 488*T1^6*T2^4 + 50*T1^7*T2^4 + 
     13*T1^8*T2^4 + 41*T1*T2^5 - 110*T1^2*T2^5 + 60*T1^3*T2^5 + 
     650*T1^4*T2^5 - 1054*T1^5*T2^5 + 476*T1^6*T2^5 + 66*T1^7*T2^5 - 
     55*T1^8*T2^5 - 15*T1^2*T2^6 + 146*T1^3*T2^6 - 488*T1^4*T2^6 + 
     476*T1^5*T2^6 + 84*T1^6*T2^6 - 270*T1^7*T2^6 + 89*T1^8*T2^6 - 
     23*T1^3*T2^7 + 50*T1^4*T2^7 + 66*T1^5*T2^7 - 270*T1^6*T2^7 + 
     210*T1^7*T2^7 - 55*T1^8*T2^7 + 13*T1^4*T2^8 - 55*T1^5*T2^8 + 
     89*T1^6*T2^8 - 55*T1^7*T2^8 + 13*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 869] -> 
  {(2 - 12*T + 32*T^2 - 43*T^3 + 32*T^4 - 12*T^5 + 2*T^6)/T^3, 
   (-33 + 197*T1 - 524*T1^2 + 703*T1^3 - 524*T1^4 + 197*T1^5 - 33*T1^6 + 
     197*T2 - 1026*T1*T2 + 2239*T1^2*T2 - 1835*T1^3*T2 - 35*T1^4*T2 + 
     1183*T1^5*T2 - 690*T1^6*T2 + 149*T1^7*T2 - 524*T2^2 + 2239*T1*T2^2 - 
     3318*T1^2*T2^2 - 1247*T1^3*T2^2 + 6212*T1^4*T2^2 - 5215*T1^5*T2^2 + 
     522*T1^6*T2^2 + 703*T1^7*T2^2 - 268*T1^8*T2^2 + 703*T2^3 - 
     1835*T1*T2^3 - 1247*T1^2*T2^3 + 12988*T1^3*T2^3 - 14851*T1^4*T2^3 + 
     2597*T1^5*T2^3 + 7702*T1^6*T2^3 - 4127*T1^7*T2^3 + 493*T1^8*T2^3 + 
     187*T1^9*T2^3 - 524*T2^4 - 35*T1*T2^4 + 6212*T1^2*T2^4 - 
     14851*T1^3*T2^4 - 1036*T1^4*T2^4 + 24594*T1^5*T2^4 - 25348*T1^6*T2^4 + 
     5101*T1^7*T2^4 + 2020*T1^8*T2^4 - 1043*T1^9*T2^4 - 12*T1^10*T2^4 + 
     197*T2^5 + 1183*T1*T2^5 - 5215*T1^2*T2^5 + 2597*T1^3*T2^5 + 
     24594*T1^4*T2^5 - 37928*T1^5*T2^5 + 16264*T1^6*T2^5 + 12050*T1^7*T2^5 - 
     9843*T1^8*T2^5 + 2017*T1^9*T2^5 + 319*T1^10*T2^5 - 43*T1^11*T2^5 - 
     33*T2^6 - 690*T1*T2^6 + 522*T1^2*T2^6 + 7702*T1^3*T2^6 - 
     25348*T1^4*T2^6 + 16264*T1^5*T2^6 + 15384*T1^6*T2^6 - 30232*T1^7*T2^6 + 
     12092*T1^8*T2^6 + 526*T1^9*T2^6 - 1526*T1^10*T2^6 + 174*T1^11*T2^6 + 
     15*T1^12*T2^6 + 149*T1*T2^7 + 703*T1^2*T2^7 - 4127*T1^3*T2^7 + 
     5101*T1^4*T2^7 + 12050*T1^5*T2^7 - 30232*T1^6*T2^7 + 23960*T1^7*T2^7 - 
     494*T1^8*T2^7 - 7339*T1^9*T2^7 + 3105*T1^10*T2^7 - 161*T1^11*T2^7 - 
     91*T1^12*T2^7 - 268*T1^2*T2^8 + 493*T1^3*T2^8 + 2020*T1^4*T2^8 - 
     9843*T1^5*T2^8 + 12092*T1^6*T2^8 - 494*T1^7*T2^8 - 12220*T1^8*T2^8 + 
     10109*T1^9*T2^8 - 2172*T1^10*T2^8 - 515*T1^11*T2^8 + 244*T1^12*T2^8 + 
     187*T1^3*T2^9 - 1043*T1^4*T2^9 + 2017*T1^5*T2^9 + 526*T1^6*T2^9 - 
     7339*T1^7*T2^9 + 10109*T1^8*T2^9 - 4760*T1^9*T2^9 - 863*T1^10*T2^9 + 
     1285*T1^11*T2^9 - 329*T1^12*T2^9 - 12*T1^4*T2^10 + 319*T1^5*T2^10 - 
     1526*T1^6*T2^10 + 3105*T1^7*T2^10 - 2172*T1^8*T2^10 - 863*T1^9*T2^10 + 
     2314*T1^10*T2^10 - 1217*T1^11*T2^10 + 244*T1^12*T2^10 - 43*T1^5*T2^11 + 
     174*T1^6*T2^11 - 161*T1^7*T2^11 - 515*T1^8*T2^11 + 1285*T1^9*T2^11 - 
     1217*T1^10*T2^11 + 510*T1^11*T2^11 - 91*T1^12*T2^11 + 15*T1^6*T2^12 - 
     91*T1^7*T2^12 + 244*T1^8*T2^12 - 329*T1^9*T2^12 + 244*T1^10*T2^12 - 
     91*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 870] -> 
  {-(((-1 + T - 2*T^2 + T^3)*(-1 + 2*T - T^2 + T^3))/T^3), 
   -((-3 + 9*T1 - 15*T1^2 + 21*T1^3 - 15*T1^4 + 9*T1^5 - 3*T1^6 + 9*T2 - 
      23*T1*T2 + 30*T1^2*T2 - 33*T1^3*T2 + 3*T1^4*T2 + 6*T1^5*T2 - 
      11*T1^6*T2 + 6*T1^7*T2 - 15*T2^2 + 30*T1*T2^2 - 30*T1^2*T2^2 + 
      41*T1^3*T2^2 + 2*T1^4*T2^2 + T1^5*T2^2 + 10*T1^6*T2^2 - 5*T1^8*T2^2 + 
      21*T2^3 - 33*T1*T2^3 + 41*T1^2*T2^3 - 86*T1^3*T2^3 - 7*T1^4*T2^3 + 
      5*T1^5*T2^3 - 38*T1^6*T2^3 - 4*T1^7*T2^3 + 15*T1^8*T2^3 - 15*T2^4 + 
      3*T1*T2^4 + 2*T1^2*T2^4 - 7*T1^3*T2^4 + 209*T1^4*T2^4 - 129*T1^5*T2^4 + 
      121*T1^6*T2^4 + 21*T1^7*T2^4 - 24*T1^8*T2^4 - 15*T1^9*T2^4 + 
      5*T1^10*T2^4 + 9*T2^5 + 6*T1*T2^5 + T1^2*T2^5 + 5*T1^3*T2^5 - 
      129*T1^4*T2^5 - 87*T1^5*T2^5 + 33*T1^6*T2^5 - 124*T1^7*T2^5 + 
      25*T1^8*T2^5 + 26*T1^9*T2^5 + 6*T1^10*T2^5 - 6*T1^11*T2^5 - 3*T2^6 - 
      11*T1*T2^6 + 10*T1^2*T2^6 - 38*T1^3*T2^6 + 121*T1^4*T2^6 + 
      33*T1^5*T2^6 + 108*T1^6*T2^6 - 41*T1^7*T2^6 + 99*T1^8*T2^6 - 
      50*T1^9*T2^6 - 18*T1^10*T2^6 + 7*T1^11*T2^6 + 3*T1^12*T2^6 + 
      6*T1*T2^7 - 4*T1^3*T2^7 + 21*T1^4*T2^7 - 124*T1^5*T2^7 - 41*T1^6*T2^7 + 
      79*T1^7*T2^7 - 119*T1^8*T2^7 + 41*T1^9*T2^7 + 21*T1^10*T2^7 - 
      9*T1^12*T2^7 - 5*T1^2*T2^8 + 15*T1^3*T2^8 - 24*T1^4*T2^8 + 
      25*T1^5*T2^8 + 99*T1^6*T2^8 - 119*T1^7*T2^8 + 11*T1^8*T2^8 + 
      53*T1^9*T2^8 - 50*T1^10*T2^8 - 3*T1^11*T2^8 + 15*T1^12*T2^8 - 
      15*T1^4*T2^9 + 26*T1^5*T2^9 - 50*T1^6*T2^9 + 41*T1^7*T2^9 + 
      53*T1^8*T2^9 - 2*T1^9*T2^9 - 19*T1^10*T2^9 + 33*T1^11*T2^9 - 
      21*T1^12*T2^9 + 5*T1^4*T2^10 + 6*T1^5*T2^10 - 18*T1^6*T2^10 + 
      21*T1^7*T2^10 - 50*T1^8*T2^10 - 19*T1^9*T2^10 + 22*T1^10*T2^10 - 
      24*T1^11*T2^10 + 15*T1^12*T2^10 - 6*T1^5*T2^11 + 7*T1^6*T2^11 - 
      3*T1^8*T2^11 + 33*T1^9*T2^11 - 24*T1^10*T2^11 + 19*T1^11*T2^11 - 
      9*T1^12*T2^11 + 3*T1^6*T2^12 - 9*T1^7*T2^12 + 15*T1^8*T2^12 - 
      21*T1^9*T2^12 + 15*T1^10*T2^12 - 9*T1^11*T2^12 + 3*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 871] -> 
  {(1 - 9*T + 29*T^2 - 41*T^3 + 29*T^4 - 9*T^5 + T^6)/T^3, 
   (-4 + 36*T1 - 116*T1^2 + 164*T1^3 - 116*T1^4 + 36*T1^5 - 4*T1^6 + 36*T2 - 
     301*T1*T2 + 815*T1^2*T2 - 700*T1^3*T2 - 70*T1^4*T2 + 473*T1^5*T2 - 
     211*T1^6*T2 + 27*T1^7*T2 - 116*T2^2 + 815*T1*T2^2 - 1222*T1^2*T2^2 - 
     2028*T1^3*T2^2 + 5310*T1^4*T2^2 - 3884*T1^5*T2^2 + 402*T1^6*T2^2 + 
     293*T1^7*T2^2 - 58*T1^8*T2^2 + 164*T2^3 - 700*T1*T2^3 - 2028*T1^2*T2^3 + 
     12360*T1^3*T2^3 - 13166*T1^4*T2^3 + 430*T1^5*T2^3 + 7608*T1^6*T2^3 - 
     2985*T1^7*T2^3 + 146*T1^8*T2^3 + 41*T1^9*T2^3 - 116*T2^4 - 70*T1*T2^4 + 
     5310*T1^2*T2^4 - 13166*T1^3*T2^4 - 5936*T1^4*T2^4 + 31594*T1^5*T2^4 - 
     26304*T1^6*T2^4 + 2742*T1^7*T2^4 + 2032*T1^8*T2^4 - 376*T1^9*T2^4 + 
     36*T2^5 + 473*T1*T2^5 - 3884*T1^2*T2^5 + 430*T1^3*T2^5 + 
     31594*T1^4*T2^5 - 43299*T1^5*T2^5 + 10627*T1^6*T2^5 + 17993*T1^7*T2^5 - 
     8542*T1^8*T2^5 + 669*T1^9*T2^5 + 95*T1^10*T2^5 - 9*T1^11*T2^5 - 4*T2^6 - 
     211*T1*T2^6 + 402*T1^2*T2^6 + 7608*T1^3*T2^6 - 26304*T1^4*T2^6 + 
     10627*T1^5*T2^6 + 27660*T1^6*T2^6 - 34179*T1^7*T2^6 + 7682*T1^8*T2^6 + 
     1620*T1^9*T2^6 - 658*T1^10*T2^6 + 59*T1^11*T2^6 + 2*T1^12*T2^6 + 
     27*T1*T2^7 + 293*T1^2*T2^7 - 2985*T1^3*T2^7 + 2742*T1^4*T2^7 + 
     17993*T1^5*T2^7 - 34179*T1^6*T2^7 + 19747*T1^7*T2^7 + 4392*T1^8*T2^7 - 
     6230*T1^9*T2^7 + 1568*T1^10*T2^7 - 85*T1^11*T2^7 - 18*T1^12*T2^7 - 
     58*T1^2*T2^8 + 146*T1^3*T2^8 + 2032*T1^4*T2^8 - 8542*T1^5*T2^8 + 
     7682*T1^6*T2^8 + 4392*T1^7*T2^8 - 12686*T1^8*T2^8 + 7366*T1^9*T2^8 - 
     1246*T1^10*T2^8 - 160*T1^11*T2^8 + 58*T1^12*T2^8 + 41*T1^3*T2^9 - 
     376*T1^4*T2^9 + 669*T1^5*T2^9 + 1620*T1^6*T2^9 - 6230*T1^7*T2^9 + 
     7366*T1^8*T2^9 - 3132*T1^9*T2^9 - 288*T1^10*T2^9 + 470*T1^11*T2^9 - 
     82*T1^12*T2^9 + 95*T1^5*T2^10 - 658*T1^6*T2^10 + 1568*T1^7*T2^10 - 
     1246*T1^8*T2^10 - 288*T1^9*T2^10 + 966*T1^10*T2^10 - 427*T1^11*T2^10 + 
     58*T1^12*T2^10 - 9*T1^5*T2^11 + 59*T1^6*T2^11 - 85*T1^7*T2^11 - 
     160*T1^8*T2^11 + 470*T1^9*T2^11 - 427*T1^10*T2^11 + 149*T1^11*T2^11 - 
     18*T1^12*T2^11 + 2*T1^6*T2^12 - 18*T1^7*T2^12 + 58*T1^8*T2^12 - 
     82*T1^9*T2^12 + 58*T1^10*T2^12 - 18*T1^11*T2^12 + 2*T1^12*T2^12)/
    (T1^7*T2^6*(-1 + T1*T2))}, Knot[12, NonAlternating, 872] -> 
  {-((1 - 6*T + 16*T^2 - 27*T^3 + 31*T^4 - 27*T^5 + 16*T^6 - 6*T^7 + T^8)/
     T^4), -((-3 + 18*T1 - 48*T1^2 + 81*T1^3 - 93*T1^4 + 81*T1^5 - 48*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 216*T1^2*T2 - 294*T1^3*T2 + 
      234*T1^4*T2 - 114*T1^5*T2 - 36*T1^6*T2 + 84*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 48*T2^2 + 216*T1*T2^2 - 353*T1^2*T2^2 + 248*T1^3*T2^2 + 
      180*T1^4*T2^2 - 475*T1^5*T2^2 + 660*T1^6*T2^2 - 424*T1^7*T2^2 + 
      127*T1^8*T2^2 + 24*T1^9*T2^2 - 16*T1^10*T2^2 + 81*T2^3 - 294*T1*T2^3 + 
      248*T1^2*T2^3 + 265*T1^3*T2^3 - 1068*T1^4*T2^3 + 1123*T1^5*T2^3 - 
      962*T1^6*T2^3 + 63*T1^7*T2^3 + 421*T1^8*T2^3 - 376*T1^9*T2^3 + 
      96*T1^10*T2^3 - 93*T2^4 + 234*T1*T2^4 + 180*T1^2*T2^4 - 
      1068*T1^3*T2^4 + 1831*T1^4*T2^4 - 1029*T1^5*T2^4 + 283*T1^6*T2^4 + 
      1227*T1^7*T2^4 - 1253*T1^8*T2^4 + 444*T1^9*T2^4 + 220*T1^10*T2^4 - 
      186*T1^11*T2^4 + 31*T1^12*T2^4 + 81*T2^5 - 114*T1*T2^5 - 
      475*T1^2*T2^5 + 1123*T1^3*T2^5 - 1029*T1^4*T2^5 - 889*T1^5*T2^5 + 
      1584*T1^6*T2^5 - 2448*T1^7*T2^5 + 821*T1^8*T2^5 + 906*T1^9*T2^5 - 
      1136*T1^10*T2^5 + 281*T1^11*T2^5 + 138*T1^12*T2^5 - 54*T1^13*T2^5 - 
      48*T2^6 - 36*T1*T2^6 + 660*T1^2*T2^6 - 962*T1^3*T2^6 + 283*T1^4*T2^6 + 
      1584*T1^5*T2^6 - 1093*T1^6*T2^6 + 711*T1^7*T2^6 + 1619*T1^8*T2^6 - 
      2400*T1^9*T2^6 + 643*T1^10*T2^6 + 862*T1^11*T2^6 - 700*T1^12*T2^6 + 
      36*T1^13*T2^6 + 48*T1^14*T2^6 + 18*T2^7 + 84*T1*T2^7 - 424*T1^2*T2^7 + 
      63*T1^3*T2^7 + 1227*T1^4*T2^7 - 2448*T1^5*T2^7 + 711*T1^6*T2^7 + 
      693*T1^7*T2^7 - 2391*T1^8*T2^7 + 1518*T1^9*T2^7 + 1680*T1^10*T2^7 - 
      1992*T1^11*T2^7 + 456*T1^12*T2^7 + 488*T1^13*T2^7 - 144*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 127*T1^2*T2^8 + 421*T1^3*T2^8 - 
      1253*T1^4*T2^8 + 821*T1^5*T2^8 + 1619*T1^6*T2^8 - 2391*T1^7*T2^8 + 
      1260*T1^8*T2^8 + 1167*T1^9*T2^8 - 3983*T1^10*T2^8 + 1523*T1^11*T2^8 + 
      799*T1^12*T2^8 - 1025*T1^13*T2^8 - 17*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 24*T1^2*T2^9 - 376*T1^3*T2^9 + 
      444*T1^4*T2^9 + 906*T1^5*T2^9 - 2400*T1^6*T2^9 + 1518*T1^7*T2^9 + 
      1167*T1^8*T2^9 - 1917*T1^9*T2^9 + 2325*T1^10*T2^9 + 1728*T1^11*T2^9 - 
      2313*T1^12*T2^9 + 837*T1^13*T2^9 + 536*T1^14*T2^9 - 204*T1^15*T2^9 - 
      30*T1^16*T2^9 - 16*T1^2*T2^10 + 96*T1^3*T2^10 + 220*T1^4*T2^10 - 
      1136*T1^5*T2^10 + 643*T1^6*T2^10 + 1680*T1^7*T2^10 - 3983*T1^8*T2^10 + 
      2325*T1^9*T2^10 - 1271*T1^10*T2^10 - 2304*T1^11*T2^10 + 
      1003*T1^12*T2^10 + 688*T1^13*T2^10 - 1140*T1^14*T2^10 + 
      168*T1^15*T2^10 + 80*T1^16*T2^10 - 186*T1^4*T2^11 + 281*T1^5*T2^11 + 
      862*T1^6*T2^11 - 1992*T1^7*T2^11 + 1523*T1^8*T2^11 + 1728*T1^9*T2^11 - 
      2304*T1^10*T2^11 + 3233*T1^11*T2^11 - 57*T1^12*T2^11 - 
      1397*T1^13*T2^11 + 1037*T1^14*T2^11 + 66*T1^15*T2^11 - 
      135*T1^16*T2^11 + 31*T1^4*T2^12 + 138*T1^5*T2^12 - 700*T1^6*T2^12 + 
      456*T1^7*T2^12 + 799*T1^8*T2^12 - 2313*T1^9*T2^12 + 1003*T1^10*T2^12 - 
      57*T1^11*T2^12 - 2285*T1^12*T2^12 + 1968*T1^13*T2^12 - 
      660*T1^14*T2^12 - 282*T1^15*T2^12 + 155*T1^16*T2^12 - 54*T1^5*T2^13 + 
      36*T1^6*T2^13 + 488*T1^7*T2^13 - 1025*T1^8*T2^13 + 837*T1^9*T2^13 + 
      688*T1^10*T2^13 - 1397*T1^11*T2^13 + 1968*T1^12*T2^13 - 
      869*T1^13*T2^13 - 136*T1^14*T2^13 + 426*T1^15*T2^13 - 135*T1^16*T2^13 + 
      48*T1^6*T2^14 - 144*T1^7*T2^14 - 17*T1^8*T2^14 + 536*T1^9*T2^14 - 
      1140*T1^10*T2^14 + 1037*T1^11*T2^14 - 660*T1^12*T2^14 - 
      136*T1^13*T2^14 + 463*T1^14*T2^14 - 336*T1^15*T2^14 + 80*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 204*T1^9*T2^15 + 168*T1^10*T2^15 + 
      66*T1^11*T2^15 - 282*T1^12*T2^15 + 426*T1^13*T2^15 - 336*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      80*T1^10*T2^16 - 135*T1^11*T2^16 + 155*T1^12*T2^16 - 135*T1^13*T2^16 + 
      80*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 873] -> 
  {((1 - 3*T + T^2)*(1 - 2*T + 3*T^2 - 5*T^3 + 3*T^4 - 2*T^5 + T^6))/T^4, 
   ((1 - 3*T1 + T1^2)*(1 - 2*T1 + 3*T1^2 - 5*T1^3 + 3*T1^4 - 2*T1^5 + T1^6)*
     (1 + T1*T2)*(1 - 3*T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (4 - 11*T1*T2 + 9*T1^2*T2^2 - 11*T1^3*T2^3 + 4*T1^4*T2^4)*
     (1 - 2*T2 + 3*T2^2 - 5*T2^3 + 3*T2^4 - 2*T2^5 + T2^6))/(T1^9*T2^8)}, 
 Knot[12, NonAlternating, 874] -> 
  {-(((1 - T + T^2)*(1 - 4*T + 9*T^2 - 13*T^3 + 9*T^4 - 4*T^5 + T^6))/T^4), 
   -((-5 + 25*T1 - 70*T1^2 + 130*T1^3 - 155*T1^4 + 130*T1^5 - 70*T1^6 + 
      25*T1^7 - 5*T1^8 + 25*T2 - 105*T1*T2 + 250*T1^2*T2 - 370*T1^3*T2 + 
      255*T1^4*T2 - 30*T1^5*T2 - 170*T1^6*T2 + 155*T1^7*T2 - 75*T1^8*T2 + 
      20*T1^9*T2 - 70*T2^2 + 250*T1*T2^2 - 520*T1^2*T2^2 + 617*T1^3*T2^2 - 
      121*T1^4*T2^2 - 240*T1^5*T2^2 + 355*T1^6*T2^2 + 29*T1^7*T2^2 - 
      156*T1^8*T2^2 + 110*T1^9*T2^2 - 42*T1^10*T2^2 + 130*T2^3 - 
      370*T1*T2^3 + 617*T1^2*T2^3 - 400*T1^3*T2^3 - 678*T1^4*T2^3 + 
      635*T1^5*T2^3 - 235*T1^6*T2^3 - 686*T1^7*T2^3 + 376*T1^8*T2^3 - 
      55*T1^9*T2^3 - 50*T1^10*T2^3 + 52*T1^11*T2^3 - 155*T2^4 + 255*T1*T2^4 - 
      121*T1^2*T2^4 - 678*T1^3*T2^4 + 1828*T1^4*T2^4 - 152*T1^5*T2^4 - 
      896*T1^6*T2^4 + 1664*T1^7*T2^4 + 88*T1^8*T2^4 - 522*T1^9*T2^4 + 
      315*T1^10*T2^4 - 105*T1^11*T2^4 - 31*T1^12*T2^4 + 130*T2^5 - 
      30*T1*T2^5 - 240*T1^2*T2^5 + 635*T1^3*T2^5 - 152*T1^4*T2^5 - 
      3471*T1^5*T2^5 + 3100*T1^6*T2^5 - 1518*T1^7*T2^5 - 2141*T1^8*T2^5 + 
      1457*T1^9*T2^5 - 311*T1^10*T2^5 - 99*T1^11*T2^5 + 155*T1^12*T2^5 - 
      70*T2^6 - 170*T1*T2^6 + 355*T1^2*T2^6 - 235*T1^3*T2^6 - 896*T1^4*T2^6 + 
      3100*T1^5*T2^6 + 1171*T1^6*T2^6 - 4275*T1^7*T2^6 + 6099*T1^8*T2^6 - 
      1712*T1^9*T2^6 - 528*T1^10*T2^6 + 521*T1^11*T2^6 - 201*T1^12*T2^6 - 
      70*T1^13*T2^6 + 14*T1^14*T2^6 + 25*T2^7 + 155*T1*T2^7 + 29*T1^2*T2^7 - 
      686*T1^3*T2^7 + 1664*T1^4*T2^7 - 1518*T1^5*T2^7 - 4275*T1^6*T2^7 + 
      5393*T1^7*T2^7 - 3309*T1^8*T2^7 - 2387*T1^9*T2^7 + 2712*T1^10*T2^7 - 
      773*T1^11*T2^7 - 22*T1^12*T2^7 + 197*T1^13*T2^7 - 20*T1^14*T2^7 - 
      10*T1^15*T2^7 - 5*T2^8 - 75*T1*T2^8 - 156*T1^2*T2^8 + 376*T1^3*T2^8 + 
      88*T1^4*T2^8 - 2141*T1^5*T2^8 + 6099*T1^6*T2^8 - 3309*T1^7*T2^8 - 
      1620*T1^8*T2^8 + 5121*T1^9*T2^8 - 2561*T1^10*T2^8 - 507*T1^11*T2^8 + 
      652*T1^12*T2^8 - 300*T1^13*T2^8 - 10*T1^14*T2^8 + 35*T1^15*T2^8 + 
      3*T1^16*T2^8 + 20*T1*T2^9 + 110*T1^2*T2^9 - 55*T1^3*T2^9 - 
      522*T1^4*T2^9 + 1457*T1^5*T2^9 - 1712*T1^6*T2^9 - 2387*T1^7*T2^9 + 
      5121*T1^8*T2^9 - 3581*T1^9*T2^9 - 499*T1^10*T2^9 + 2518*T1^11*T2^9 - 
      980*T1^12*T2^9 + 142*T1^13*T2^9 + 113*T1^14*T2^9 - 65*T1^15*T2^9 - 
      15*T1^16*T2^9 - 42*T1^2*T2^10 - 50*T1^3*T2^10 + 315*T1^4*T2^10 - 
      311*T1^5*T2^10 - 528*T1^6*T2^10 + 2712*T1^7*T2^10 - 2561*T1^8*T2^10 - 
      499*T1^9*T2^10 + 2367*T1^10*T2^10 - 2100*T1^11*T2^10 - 
      160*T1^12*T2^10 + 445*T1^13*T2^10 - 241*T1^14*T2^10 + 50*T1^15*T2^10 + 
      42*T1^16*T2^10 + 52*T1^3*T2^11 - 105*T1^4*T2^11 - 99*T1^5*T2^11 + 
      521*T1^6*T2^11 - 773*T1^7*T2^11 - 507*T1^8*T2^11 + 2518*T1^9*T2^11 - 
      2100*T1^10*T2^11 + 823*T1^11*T2^11 + 836*T1^12*T2^11 - 
      425*T1^13*T2^11 + 42*T1^14*T2^11 + 80*T1^15*T2^11 - 78*T1^16*T2^11 - 
      31*T1^4*T2^12 + 155*T1^5*T2^12 - 201*T1^6*T2^12 - 22*T1^7*T2^12 + 
      652*T1^8*T2^12 - 980*T1^9*T2^12 - 160*T1^10*T2^12 + 836*T1^11*T2^12 - 
      1088*T1^12*T2^12 + 134*T1^13*T2^12 + 235*T1^14*T2^12 - 
      205*T1^15*T2^12 + 93*T1^16*T2^12 - 70*T1^6*T2^13 + 197*T1^7*T2^13 - 
      300*T1^8*T2^13 + 142*T1^9*T2^13 + 445*T1^10*T2^13 - 425*T1^11*T2^13 + 
      134*T1^12*T2^13 + 476*T1^13*T2^13 - 475*T1^14*T2^13 + 250*T1^15*T2^13 - 
      78*T1^16*T2^13 + 14*T1^6*T2^14 - 20*T1^7*T2^14 - 10*T1^8*T2^14 + 
      113*T1^9*T2^14 - 241*T1^10*T2^14 + 42*T1^11*T2^14 + 235*T1^12*T2^14 - 
      475*T1^13*T2^14 + 354*T1^14*T2^14 - 160*T1^15*T2^14 + 42*T1^16*T2^14 - 
      10*T1^7*T2^15 + 35*T1^8*T2^15 - 65*T1^9*T2^15 + 50*T1^10*T2^15 + 
      80*T1^11*T2^15 - 205*T1^12*T2^15 + 250*T1^13*T2^15 - 160*T1^14*T2^15 + 
      65*T1^15*T2^15 - 15*T1^16*T2^15 + 3*T1^8*T2^16 - 15*T1^9*T2^16 + 
      42*T1^10*T2^16 - 78*T1^11*T2^16 + 93*T1^12*T2^16 - 78*T1^13*T2^16 + 
      42*T1^14*T2^16 - 15*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 875] -> 
  {-(((1 - T + T^2)*(1 - 3*T + 7*T^2 - 11*T^3 + 7*T^4 - 3*T^5 + T^6))/T^4), 
   -((-5 + 20*T1 - 55*T1^2 + 105*T1^3 - 125*T1^4 + 105*T1^5 - 55*T1^6 + 
      20*T1^7 - 5*T1^8 + 20*T2 - 64*T1*T2 + 156*T1^2*T2 - 244*T1^3*T2 + 
      164*T1^4*T2 - 20*T1^5*T2 - 116*T1^6*T2 + 96*T1^7*T2 - 44*T1^8*T2 + 
      16*T1^9*T2 - 55*T2^2 + 156*T1*T2^2 - 379*T1^2*T2^2 + 573*T1^3*T2^2 - 
      370*T1^4*T2^2 + 213*T1^5*T2^2 - 62*T1^6*T2^2 + 199*T1^7*T2^2 - 
      159*T1^8*T2^2 + 68*T1^9*T2^2 - 33*T1^10*T2^2 + 105*T2^3 - 244*T1*T2^3 + 
      573*T1^2*T2^3 - 731*T1^3*T2^3 + 163*T1^4*T2^3 - 75*T1^5*T2^3 - 
      83*T1^6*T2^3 - 256*T1^7*T2^3 - 5*T1^8*T2^3 + 100*T1^9*T2^3 - 
      36*T1^10*T2^3 + 42*T1^11*T2^3 - 125*T2^4 + 164*T1*T2^4 - 
      370*T1^2*T2^4 + 163*T1^3*T2^4 + 681*T1^4*T2^4 + 40*T1^5*T2^4 - 
      201*T1^6*T2^4 + 692*T1^7*T2^4 + 225*T1^8*T2^4 - 257*T1^9*T2^4 + 
      58*T1^10*T2^4 - 68*T1^11*T2^4 - 25*T1^12*T2^4 + 105*T2^5 - 20*T1*T2^5 + 
      213*T1^2*T2^5 - 75*T1^3*T2^5 + 40*T1^4*T2^5 - 2104*T1^5*T2^5 + 
      1625*T1^6*T2^5 - 976*T1^7*T2^5 - 1102*T1^8*T2^5 + 550*T1^9*T2^5 - 
      15*T1^10*T2^5 + 27*T1^11*T2^5 + 100*T1^12*T2^5 - 55*T2^6 - 
      116*T1*T2^6 - 62*T1^2*T2^6 - 83*T1^3*T2^6 - 201*T1^4*T2^6 + 
      1625*T1^5*T2^6 + 1190*T1^6*T2^6 - 2770*T1^7*T2^6 + 3838*T1^8*T2^6 - 
      1047*T1^9*T2^6 - 107*T1^10*T2^6 + 27*T1^11*T2^6 - 130*T1^12*T2^6 - 
      44*T1^13*T2^6 + 11*T1^14*T2^6 + 20*T2^7 + 96*T1*T2^7 + 199*T1^2*T2^7 - 
      256*T1^3*T2^7 + 692*T1^4*T2^7 - 976*T1^5*T2^7 - 2770*T1^6*T2^7 + 
      3202*T1^7*T2^7 - 1932*T1^8*T2^7 - 1535*T1^9*T2^7 + 1483*T1^10*T2^7 - 
      386*T1^11*T2^7 + 159*T1^12*T2^7 + 78*T1^13*T2^7 - 12*T1^14*T2^7 - 
      8*T1^15*T2^7 - 5*T2^8 - 44*T1*T2^8 - 159*T1^2*T2^8 - 5*T1^3*T2^8 + 
      225*T1^4*T2^8 - 1102*T1^5*T2^8 + 3838*T1^6*T2^8 - 1932*T1^7*T2^8 - 
      1104*T1^8*T2^8 + 3116*T1^9*T2^8 - 1468*T1^10*T2^8 - 214*T1^11*T2^8 + 
      205*T1^12*T2^8 - 171*T1^13*T2^8 + 29*T1^14*T2^8 + 20*T1^15*T2^8 + 
      3*T1^16*T2^8 + 16*T1*T2^9 + 68*T1^2*T2^9 + 100*T1^3*T2^9 - 
      257*T1^4*T2^9 + 550*T1^5*T2^9 - 1047*T1^6*T2^9 - 1535*T1^7*T2^9 + 
      3116*T1^8*T2^9 - 2018*T1^9*T2^9 - 300*T1^10*T2^9 + 1412*T1^11*T2^9 - 
      528*T1^12*T2^9 + 158*T1^13*T2^9 - 21*T1^14*T2^9 - 40*T1^15*T2^9 - 
      12*T1^16*T2^9 - 33*T1^2*T2^10 - 36*T1^3*T2^10 + 58*T1^4*T2^10 - 
      15*T1^5*T2^10 - 107*T1^6*T2^10 + 1483*T1^7*T2^10 - 1468*T1^8*T2^10 - 
      300*T1^9*T2^10 + 1180*T1^10*T2^10 - 1189*T1^11*T2^10 - 13*T1^12*T2^10 + 
      95*T1^13*T2^10 - 10*T1^14*T2^10 + 36*T1^15*T2^10 + 33*T1^16*T2^10 + 
      42*T1^3*T2^11 - 68*T1^4*T2^11 + 27*T1^5*T2^11 + 27*T1^6*T2^11 - 
      386*T1^7*T2^11 - 214*T1^8*T2^11 + 1412*T1^9*T2^11 - 1189*T1^10*T2^11 + 
      788*T1^11*T2^11 + 124*T1^12*T2^11 + 87*T1^13*T2^11 - 159*T1^14*T2^11 + 
      52*T1^15*T2^11 - 63*T1^16*T2^11 - 25*T1^4*T2^12 + 100*T1^5*T2^12 - 
      130*T1^6*T2^12 + 159*T1^7*T2^12 + 205*T1^8*T2^12 - 528*T1^9*T2^12 - 
      13*T1^10*T2^12 + 124*T1^11*T2^12 - 251*T1^12*T2^12 - 261*T1^13*T2^12 + 
      298*T1^14*T2^12 - 132*T1^15*T2^12 + 75*T1^16*T2^12 - 44*T1^6*T2^13 + 
      78*T1^7*T2^13 - 171*T1^8*T2^13 + 158*T1^9*T2^13 + 95*T1^10*T2^13 + 
      87*T1^11*T2^13 - 261*T1^12*T2^13 + 555*T1^13*T2^13 - 395*T1^14*T2^13 + 
      164*T1^15*T2^13 - 63*T1^16*T2^13 + 11*T1^6*T2^14 - 12*T1^7*T2^14 + 
      29*T1^8*T2^14 - 21*T1^9*T2^14 - 10*T1^10*T2^14 - 159*T1^11*T2^14 + 
      298*T1^12*T2^14 - 395*T1^13*T2^14 + 249*T1^14*T2^14 - 100*T1^15*T2^14 + 
      33*T1^16*T2^14 - 8*T1^7*T2^15 + 20*T1^8*T2^15 - 40*T1^9*T2^15 + 
      36*T1^10*T2^15 + 52*T1^11*T2^15 - 132*T1^12*T2^15 + 164*T1^13*T2^15 - 
      100*T1^14*T2^15 + 40*T1^15*T2^15 - 12*T1^16*T2^15 + 3*T1^8*T2^16 - 
      12*T1^9*T2^16 + 33*T1^10*T2^16 - 63*T1^11*T2^16 + 75*T1^12*T2^16 - 
      63*T1^13*T2^16 + 33*T1^14*T2^16 - 12*T1^15*T2^16 + 3*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 876] -> 
  {-(((-2 + 4*T - 2*T^2 + T^3)*(-1 + 2*T - 4*T^2 + 2*T^3))/T^3), 
   -((-25 + 100*T1 - 226*T1^2 + 315*T1^3 - 226*T1^4 + 100*T1^5 - 25*T1^6 + 
      100*T2 - 332*T1*T2 + 632*T1^2*T2 - 644*T1^3*T2 + 44*T1^4*T2 + 
      216*T1^5*T2 - 172*T1^6*T2 + 68*T1^7*T2 - 226*T2^2 + 632*T1*T2^2 - 
      1032*T1^2*T2^2 + 714*T1^3*T2^2 + 636*T1^4*T2^2 - 510*T1^5*T2^2 + 
      120*T1^6*T2^2 + 56*T1^7*T2^2 - 82*T1^8*T2^2 + 315*T2^3 - 644*T1*T2^3 + 
      714*T1^2*T2^3 + 258*T1^3*T2^3 - 1970*T1^4*T2^3 + 322*T1^5*T2^3 + 
      564*T1^6*T2^3 - 546*T1^7*T2^3 + 268*T1^8*T2^3 + 15*T1^9*T2^3 - 
      226*T2^4 + 44*T1*T2^4 + 636*T1^2*T2^4 - 1970*T1^3*T2^4 + 
      2445*T1^4*T2^4 + 1605*T1^5*T2^4 - 2051*T1^6*T2^4 + 830*T1^7*T2^4 + 
      28*T1^8*T2^4 - 308*T1^9*T2^4 + 62*T1^10*T2^4 + 100*T2^5 + 216*T1*T2^5 - 
      510*T1^2*T2^5 + 322*T1^3*T2^5 + 1605*T1^4*T2^5 - 5746*T1^5*T2^5 + 
      3172*T1^6*T2^5 + 129*T1^7*T2^5 - 954*T1^8*T2^5 + 606*T1^9*T2^5 - 
      8*T1^10*T2^5 - 60*T1^11*T2^5 - 25*T2^6 - 172*T1*T2^6 + 120*T1^2*T2^6 + 
      564*T1^3*T2^6 - 2051*T1^4*T2^6 + 3172*T1^5*T2^6 + 1248*T1^6*T2^6 - 
      3940*T1^7*T2^6 + 2349*T1^8*T2^6 - 612*T1^9*T2^6 - 200*T1^10*T2^6 + 
      148*T1^11*T2^6 + 23*T1^12*T2^6 + 68*T1*T2^7 + 56*T1^2*T2^7 - 
      546*T1^3*T2^7 + 830*T1^4*T2^7 + 129*T1^5*T2^7 - 3940*T1^6*T2^7 + 
      4978*T1^7*T2^7 - 1347*T1^8*T2^7 - 446*T1^9*T2^7 + 570*T1^10*T2^7 - 
      168*T1^11*T2^7 - 92*T1^12*T2^7 - 82*T1^2*T2^8 + 268*T1^3*T2^8 + 
      28*T1^4*T2^8 - 954*T1^5*T2^8 + 2349*T1^6*T2^8 - 1347*T1^7*T2^8 - 
      2147*T1^8*T2^8 + 1846*T1^9*T2^8 - 580*T1^10*T2^8 - 84*T1^11*T2^8 + 
      206*T1^12*T2^8 + 15*T1^3*T2^9 - 308*T1^4*T2^9 + 606*T1^5*T2^9 - 
      612*T1^6*T2^9 - 446*T1^7*T2^9 + 1846*T1^8*T2^9 - 306*T1^9*T2^9 - 
      654*T1^10*T2^9 + 604*T1^11*T2^9 - 285*T1^12*T2^9 + 62*T1^4*T2^10 - 
      8*T1^5*T2^10 - 200*T1^6*T2^10 + 570*T1^7*T2^10 - 580*T1^8*T2^10 - 
      654*T1^9*T2^10 + 952*T1^10*T2^10 - 584*T1^11*T2^10 + 206*T1^12*T2^10 - 
      60*T1^5*T2^11 + 148*T1^6*T2^11 - 168*T1^7*T2^11 - 84*T1^8*T2^11 + 
      604*T1^9*T2^11 - 584*T1^10*T2^11 + 308*T1^11*T2^11 - 92*T1^12*T2^11 + 
      23*T1^6*T2^12 - 92*T1^7*T2^12 + 206*T1^8*T2^12 - 285*T1^9*T2^12 + 
      206*T1^10*T2^12 - 92*T1^11*T2^12 + 23*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 877] -> 
  {-(((1 - 3*T + T^2)*(1 - 4*T + 7*T^2 - 7*T^3 + 7*T^4 - 4*T^5 + T^6))/T^4), 
   -((-3 + 21*T1 - 60*T1^2 + 96*T1^3 - 105*T1^4 + 96*T1^5 - 60*T1^6 + 
      21*T1^7 - 3*T1^8 + 21*T2 - 133*T1*T2 + 322*T1^2*T2 - 392*T1^3*T2 + 
      287*T1^4*T2 - 182*T1^5*T2 - 28*T1^6*T2 + 133*T1^7*T2 - 77*T1^8*T2 + 
      14*T1^9*T2 - 60*T2^2 + 322*T1*T2^2 - 535*T1^2*T2^2 + 105*T1^3*T2^2 + 
      628*T1^4*T2^2 - 863*T1^5*T2^2 + 1228*T1^6*T2^2 - 895*T1^7*T2^2 + 
      225*T1^8*T2^2 + 42*T1^9*T2^2 - 20*T1^10*T2^2 + 96*T2^3 - 392*T1*T2^3 + 
      105*T1^2*T2^3 + 1522*T1^3*T2^3 - 2765*T1^4*T2^3 + 2235*T1^5*T2^3 - 
      2153*T1^6*T2^3 + 483*T1^7*T2^3 + 910*T1^8*T2^3 - 695*T1^9*T2^3 + 
      140*T1^10*T2^3 - 105*T2^4 + 287*T1*T2^4 + 628*T1^2*T2^4 - 
      2765*T1^3*T2^4 + 2731*T1^4*T2^4 + 7*T1^5*T2^4 - 691*T1^6*T2^4 + 
      3227*T1^7*T2^4 - 3709*T1^8*T2^4 + 1267*T1^9*T2^4 + 292*T1^10*T2^4 - 
      245*T1^11*T2^4 + 35*T1^12*T2^4 + 96*T2^5 - 182*T1*T2^5 - 
      863*T1^2*T2^5 + 2235*T1^3*T2^5 + 7*T1^4*T2^5 - 4127*T1^5*T2^5 + 
      3663*T1^6*T2^5 - 5317*T1^7*T2^5 + 3563*T1^8*T2^5 + 1382*T1^9*T2^5 - 
      2225*T1^10*T2^5 + 442*T1^11*T2^5 + 203*T1^12*T2^5 - 64*T1^13*T2^5 - 
      60*T2^6 - 28*T1*T2^6 + 1228*T1^2*T2^6 - 2153*T1^3*T2^6 - 
      691*T1^4*T2^6 + 3663*T1^5*T2^6 - 1244*T1^6*T2^6 + 2744*T1^7*T2^6 - 
      364*T1^8*T2^6 - 4713*T1^9*T2^6 + 1437*T1^10*T2^6 + 2127*T1^11*T2^6 - 
      1244*T1^12*T2^6 + 28*T1^13*T2^6 + 60*T1^14*T2^6 + 21*T2^7 + 
      133*T1*T2^7 - 895*T1^2*T2^7 + 483*T1^3*T2^7 + 3227*T1^4*T2^7 - 
      5317*T1^5*T2^7 + 2744*T1^6*T2^7 - 4605*T1^7*T2^7 + 1687*T1^8*T2^7 + 
      2464*T1^9*T2^7 + 4871*T1^10*T2^7 - 5528*T1^11*T2^7 + 371*T1^12*T2^7 + 
      1105*T1^13*T2^7 - 224*T1^14*T2^7 - 28*T1^15*T2^7 - 3*T2^8 - 
      77*T1*T2^8 + 225*T1^2*T2^8 + 910*T1^3*T2^8 - 3709*T1^4*T2^8 + 
      3563*T1^5*T2^8 - 364*T1^6*T2^8 + 1687*T1^7*T2^8 + 132*T1^8*T2^8 - 
      2063*T1^9*T2^8 - 6412*T1^10*T2^8 + 1309*T1^11*T2^8 + 4827*T1^12*T2^8 - 
      2618*T1^13*T2^8 - 73*T1^14*T2^8 + 161*T1^15*T2^8 + 5*T1^16*T2^8 + 
      14*T1*T2^9 + 42*T1^2*T2^9 - 695*T1^3*T2^9 + 1267*T1^4*T2^9 + 
      1382*T1^5*T2^9 - 4713*T1^6*T2^9 + 2464*T1^7*T2^9 - 2063*T1^8*T2^9 + 
      4229*T1^9*T2^9 + 2184*T1^10*T2^9 + 5475*T1^11*T2^9 - 7373*T1^12*T2^9 + 
      1155*T1^13*T2^9 + 1305*T1^14*T2^9 - 315*T1^15*T2^9 - 35*T1^16*T2^9 - 
      20*T1^2*T2^10 + 140*T1^3*T2^10 + 292*T1^4*T2^10 - 2225*T1^5*T2^10 + 
      1437*T1^6*T2^10 + 4871*T1^7*T2^10 - 6412*T1^8*T2^10 + 2184*T1^9*T2^10 - 
      5532*T1^10*T2^10 - 3505*T1^11*T2^10 + 3565*T1^12*T2^10 + 
      2055*T1^13*T2^10 - 2180*T1^14*T2^10 + 196*T1^15*T2^10 + 
      100*T1^16*T2^10 - 245*T1^4*T2^11 + 442*T1^5*T2^11 + 2127*T1^6*T2^11 - 
      5528*T1^7*T2^11 + 1309*T1^8*T2^11 + 5475*T1^9*T2^11 - 
      3505*T1^10*T2^11 + 8999*T1^11*T2^11 - 4153*T1^12*T2^11 - 
      2333*T1^13*T2^11 + 1747*T1^14*T2^11 + 140*T1^15*T2^11 - 
      160*T1^16*T2^11 + 35*T1^4*T2^12 + 203*T1^5*T2^12 - 1244*T1^6*T2^12 + 
      371*T1^7*T2^12 + 4827*T1^8*T2^12 - 7373*T1^9*T2^12 + 3565*T1^10*T2^12 - 
      4153*T1^11*T2^12 - 1613*T1^12*T2^12 + 4403*T1^13*T2^12 - 
      1580*T1^14*T2^12 - 329*T1^15*T2^12 + 175*T1^16*T2^12 - 64*T1^5*T2^13 + 
      28*T1^6*T2^13 + 1105*T1^7*T2^13 - 2618*T1^8*T2^13 + 1155*T1^9*T2^13 + 
      2055*T1^10*T2^13 - 2333*T1^11*T2^13 + 4403*T1^12*T2^13 - 
      3230*T1^13*T2^13 + 305*T1^14*T2^13 + 560*T1^15*T2^13 - 
      160*T1^16*T2^13 + 60*T1^6*T2^14 - 224*T1^7*T2^14 - 73*T1^8*T2^14 + 
      1305*T1^9*T2^14 - 2180*T1^10*T2^14 + 1747*T1^11*T2^14 - 
      1580*T1^12*T2^14 + 305*T1^13*T2^14 + 687*T1^14*T2^14 - 
      504*T1^15*T2^14 + 100*T1^16*T2^14 - 28*T1^7*T2^15 + 161*T1^8*T2^15 - 
      315*T1^9*T2^15 + 196*T1^10*T2^15 + 140*T1^11*T2^15 - 329*T1^12*T2^15 + 
      560*T1^13*T2^15 - 504*T1^14*T2^15 + 217*T1^15*T2^15 - 35*T1^16*T2^15 + 
      5*T1^8*T2^16 - 35*T1^9*T2^16 + 100*T1^10*T2^16 - 160*T1^11*T2^16 + 
      175*T1^12*T2^16 - 160*T1^13*T2^16 + 100*T1^14*T2^16 - 35*T1^15*T2^16 + 
      5*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 878] -> 
  {(1 - 11*T + 34*T^2 - 47*T^3 + 34*T^4 - 11*T^5 + T^6)/T^3, 
   (-4 + 44*T1 - 136*T1^2 + 188*T1^3 - 136*T1^4 + 44*T1^5 - 4*T1^6 + 44*T2 - 
     451*T1*T2 + 1129*T1^2*T2 - 942*T1^3*T2 - 51*T1^4*T2 + 634*T1^5*T2 - 
     319*T1^6*T2 + 33*T1^7*T2 - 136*T2^2 + 1129*T1*T2^2 - 724*T1^2*T2^2 - 
     4968*T1^3*T2^2 + 9726*T1^4*T2^2 - 7416*T1^5*T2^2 + 1520*T1^6*T2^2 + 
     381*T1^7*T2^2 - 68*T1^8*T2^2 + 188*T2^3 - 942*T1*T2^3 - 4968*T1^2*T2^3 + 
     20173*T1^3*T2^3 - 20765*T1^4*T2^3 + 3184*T1^5*T2^3 + 10111*T1^6*T2^3 - 
     5274*T1^7*T2^3 + 235*T1^8*T2^3 + 47*T1^9*T2^3 - 136*T2^4 - 51*T1*T2^4 + 
     9726*T1^2*T2^4 - 20765*T1^3*T2^4 - 2466*T1^4*T2^4 + 35442*T1^5*T2^4 - 
     35202*T1^6*T2^4 + 6965*T1^7*T2^4 + 2976*T1^8*T2^4 - 513*T1^9*T2^4 + 
     44*T2^5 + 634*T1*T2^5 - 7416*T1^2*T2^5 + 3184*T1^3*T2^5 + 
     35442*T1^4*T2^5 - 55263*T1^5*T2^5 + 24345*T1^6*T2^5 + 15518*T1^7*T2^5 - 
     13203*T1^8*T2^5 + 1458*T1^9*T2^5 + 117*T1^10*T2^5 - 11*T1^11*T2^5 - 
     4*T2^6 - 319*T1*T2^6 + 1520*T1^2*T2^6 + 10111*T1^3*T2^6 - 
     35202*T1^4*T2^6 + 24345*T1^5*T2^6 + 20976*T1^6*T2^6 - 42981*T1^7*T2^6 + 
     18550*T1^8*T2^6 + 853*T1^9*T2^6 - 1288*T1^10*T2^6 + 99*T1^11*T2^6 + 
     2*T1^12*T2^6 + 33*T1*T2^7 + 381*T1^2*T2^7 - 5274*T1^3*T2^7 + 
     6965*T1^4*T2^7 + 15518*T1^5*T2^7 - 42981*T1^6*T2^7 + 36627*T1^7*T2^7 - 
     4406*T1^8*T2^7 - 9422*T1^9*T2^7 + 3600*T1^10*T2^7 - 136*T1^11*T2^7 - 
     22*T1^12*T2^7 - 68*T1^2*T2^8 + 235*T1^3*T2^8 + 2976*T1^4*T2^8 - 
     13203*T1^5*T2^8 + 18550*T1^6*T2^8 - 4406*T1^7*T2^8 - 14186*T1^8*T2^8 + 
     14527*T1^9*T2^8 - 3774*T1^10*T2^8 - 227*T1^11*T2^8 + 68*T1^12*T2^8 + 
     47*T1^3*T2^9 - 513*T1^4*T2^9 + 1458*T1^5*T2^9 + 853*T1^6*T2^9 - 
     9422*T1^7*T2^9 + 14527*T1^8*T2^9 - 9209*T1^9*T2^9 + 1152*T1^10*T2^9 + 
     664*T1^11*T2^9 - 94*T1^12*T2^9 + 117*T1^5*T2^10 - 1288*T1^6*T2^10 + 
     3600*T1^7*T2^10 - 3774*T1^8*T2^10 + 1152*T1^9*T2^10 + 956*T1^10*T2^10 - 
     631*T1^11*T2^10 + 68*T1^12*T2^10 - 11*T1^5*T2^11 + 99*T1^6*T2^11 - 
     136*T1^7*T2^11 - 227*T1^8*T2^11 + 664*T1^9*T2^11 - 631*T1^10*T2^11 + 
     231*T1^11*T2^11 - 22*T1^12*T2^11 + 2*T1^6*T2^12 - 22*T1^7*T2^12 + 
     68*T1^8*T2^12 - 94*T1^9*T2^12 + 68*T1^10*T2^12 - 22*T1^11*T2^12 + 
     2*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 879] -> 
  {-(((1 - 3*T + 3*T^2 - 3*T^3 + T^4)*(1 - 3*T + 5*T^2 - 3*T^3 + T^4))/T^4), 
   -((-3 + 18*T1 - 51*T1^2 + 90*T1^3 - 105*T1^4 + 90*T1^5 - 51*T1^6 + 
      18*T1^7 - 3*T1^8 + 18*T2 - 96*T1*T2 + 234*T1^2*T2 - 336*T1^3*T2 + 
      270*T1^4*T2 - 120*T1^5*T2 - 54*T1^6*T2 + 96*T1^7*T2 - 54*T1^8*T2 + 
      12*T1^9*T2 - 51*T2^2 + 234*T1*T2^2 - 456*T1^2*T2^2 + 426*T1^3*T2^2 + 
      48*T1^4*T2^2 - 430*T1^5*T2^2 + 660*T1^6*T2^2 - 390*T1^7*T2^2 + 
      88*T1^8*T2^2 + 30*T1^9*T2^2 - 17*T1^10*T2^2 + 90*T2^3 - 336*T1*T2^3 + 
      426*T1^2*T2^3 + 94*T1^3*T2^3 - 1146*T1^4*T2^3 + 1324*T1^5*T2^3 - 
      1076*T1^6*T2^3 - 42*T1^7*T2^3 + 538*T1^8*T2^3 - 390*T1^9*T2^3 + 
      102*T1^10*T2^3 - 105*T2^4 + 270*T1*T2^4 + 48*T1^2*T2^4 - 
      1146*T1^3*T2^4 + 2200*T1^4*T2^4 - 1089*T1^5*T2^4 - 218*T1^6*T2^4 + 
      2031*T1^7*T2^4 - 1680*T1^8*T2^4 + 414*T1^9*T2^4 + 268*T1^10*T2^4 - 
      210*T1^11*T2^4 + 35*T1^12*T2^4 + 90*T2^5 - 120*T1*T2^5 - 
      430*T1^2*T2^5 + 1324*T1^3*T2^5 - 1089*T1^4*T2^5 - 1834*T1^5*T2^5 + 
      3254*T1^6*T2^5 - 3736*T1^7*T2^5 + 956*T1^8*T2^5 + 1461*T1^9*T2^5 - 
      1316*T1^10*T2^5 + 290*T1^11*T2^5 + 150*T1^12*T2^5 - 60*T1^13*T2^5 - 
      51*T2^6 - 54*T1*T2^6 + 660*T1^2*T2^6 - 1076*T1^3*T2^6 - 218*T1^4*T2^6 + 
      3254*T1^5*T2^6 - 2839*T1^6*T2^6 + 827*T1^7*T2^6 + 2933*T1^8*T2^6 - 
      3886*T1^9*T2^6 + 792*T1^10*T2^6 + 964*T1^11*T2^6 - 736*T1^12*T2^6 + 
      54*T1^13*T2^6 + 51*T1^14*T2^6 + 18*T2^7 + 96*T1*T2^7 - 390*T1^2*T2^7 - 
      42*T1^3*T2^7 + 2031*T1^4*T2^7 - 3736*T1^5*T2^7 + 827*T1^6*T2^7 + 
      2980*T1^7*T2^7 - 4796*T1^8*T2^7 + 2543*T1^9*T2^7 + 2954*T1^10*T2^7 - 
      2799*T1^11*T2^7 + 678*T1^12*T2^7 + 426*T1^13*T2^7 - 162*T1^14*T2^7 - 
      24*T1^15*T2^7 - 3*T2^8 - 54*T1*T2^8 + 88*T1^2*T2^8 + 538*T1^3*T2^8 - 
      1680*T1^4*T2^8 + 956*T1^5*T2^8 + 2933*T1^6*T2^8 - 4796*T1^7*T2^8 + 
      1212*T1^8*T2^8 + 3268*T1^9*T2^8 - 7307*T1^10*T2^8 + 2396*T1^11*T2^8 + 
      972*T1^12*T2^8 - 1166*T1^13*T2^8 + 84*T1^14*T2^8 + 114*T1^15*T2^8 + 
      5*T1^16*T2^8 + 12*T1*T2^9 + 30*T1^2*T2^9 - 390*T1^3*T2^9 + 
      414*T1^4*T2^9 + 1461*T1^5*T2^9 - 3886*T1^6*T2^9 + 2543*T1^7*T2^9 + 
      3268*T1^8*T2^9 - 4508*T1^9*T2^9 + 4259*T1^10*T2^9 + 2804*T1^11*T2^9 - 
      3369*T1^12*T2^9 + 1134*T1^13*T2^9 + 426*T1^14*T2^9 - 228*T1^15*T2^9 - 
      30*T1^16*T2^9 - 17*T1^2*T2^10 + 102*T1^3*T2^10 + 268*T1^4*T2^10 - 
      1316*T1^5*T2^10 + 792*T1^6*T2^10 + 2954*T1^7*T2^10 - 7307*T1^8*T2^10 + 
      4259*T1^9*T2^10 - 1535*T1^10*T2^10 - 4186*T1^11*T2^10 + 
      1802*T1^12*T2^10 + 724*T1^13*T2^10 - 1128*T1^14*T2^10 + 
      210*T1^15*T2^10 + 85*T1^16*T2^10 - 210*T1^4*T2^11 + 290*T1^5*T2^11 + 
      964*T1^6*T2^11 - 2799*T1^7*T2^11 + 2396*T1^8*T2^11 + 2804*T1^9*T2^11 - 
      4186*T1^10*T2^11 + 5186*T1^11*T2^11 - 249*T1^12*T2^11 - 
      1676*T1^13*T2^11 + 1010*T1^14*T2^11 + 60*T1^15*T2^11 - 
      150*T1^16*T2^11 + 35*T1^4*T2^12 + 150*T1^5*T2^12 - 736*T1^6*T2^12 + 
      678*T1^7*T2^12 + 972*T1^8*T2^12 - 3369*T1^9*T2^12 + 1802*T1^10*T2^12 - 
      249*T1^11*T2^12 - 2908*T1^12*T2^12 + 2238*T1^13*T2^12 - 
      516*T1^14*T2^12 - 330*T1^15*T2^12 + 175*T1^16*T2^12 - 60*T1^5*T2^13 + 
      54*T1^6*T2^13 + 426*T1^7*T2^13 - 1166*T1^8*T2^13 + 1134*T1^9*T2^13 + 
      724*T1^10*T2^13 - 1676*T1^11*T2^13 + 2238*T1^12*T2^13 - 
      722*T1^13*T2^13 - 390*T1^14*T2^13 + 492*T1^15*T2^13 - 150*T1^16*T2^13 + 
      51*T1^6*T2^14 - 162*T1^7*T2^14 + 84*T1^8*T2^14 + 426*T1^9*T2^14 - 
      1128*T1^10*T2^14 + 1010*T1^11*T2^14 - 516*T1^12*T2^14 - 
      390*T1^13*T2^14 + 628*T1^14*T2^14 - 366*T1^15*T2^14 + 85*T1^16*T2^14 - 
      24*T1^7*T2^15 + 114*T1^8*T2^15 - 228*T1^9*T2^15 + 210*T1^10*T2^15 + 
      60*T1^11*T2^15 - 330*T1^12*T2^15 + 492*T1^13*T2^15 - 366*T1^14*T2^15 + 
      156*T1^15*T2^15 - 30*T1^16*T2^15 + 5*T1^8*T2^16 - 30*T1^9*T2^16 + 
      85*T1^10*T2^16 - 150*T1^11*T2^16 + 175*T1^12*T2^16 - 150*T1^13*T2^16 + 
      85*T1^14*T2^16 - 30*T1^15*T2^16 + 5*T1^16*T2^16)/
     (T1^9*T2^8*(-1 + T1*T2)))}, Knot[12, NonAlternating, 880] -> 
  {-((3 - 14*T + 30*T^2 - 39*T^3 + 30*T^4 - 14*T^5 + 3*T^6)/T^3), 
   -((-84 + 393*T1 - 844*T1^2 + 1098*T1^3 - 844*T1^4 + 393*T1^5 - 84*T1^6 + 
      393*T2 - 1570*T1*T2 + 2695*T1^2*T2 - 2449*T1^3*T2 + 449*T1^4*T2 + 
      847*T1^5*T2 - 856*T1^6*T2 + 267*T1^7*T2 - 844*T2^2 + 2695*T1*T2^2 - 
      2937*T1^2*T2^2 - 80*T1^3*T2^2 + 4781*T1^4*T2^2 - 4580*T1^5*T2^2 + 
      1923*T1^6*T2^2 + 175*T1^7*T2^2 - 304*T1^8*T2^2 + 1098*T2^3 - 
      2449*T1*T2^3 - 80*T1^2*T2^3 + 5927*T1^3*T2^3 - 9928*T1^4*T2^3 + 
      3608*T1^5*T2^3 + 2189*T1^6*T2^3 - 3470*T1^7*T2^3 + 1205*T1^8*T2^3 + 
      45*T1^9*T2^3 - 844*T2^4 + 449*T1*T2^4 + 4781*T1^2*T2^4 - 
      9928*T1^3*T2^4 + 7799*T1^4*T2^4 + 5487*T1^5*T2^4 - 9781*T1^6*T2^4 + 
      5516*T1^7*T2^4 + 293*T1^8*T2^4 - 1315*T1^9*T2^4 + 236*T1^10*T2^4 + 
      393*T2^5 + 847*T1*T2^5 - 4580*T1^2*T2^5 + 3608*T1^3*T2^5 + 
      5487*T1^4*T2^5 - 17294*T1^5*T2^5 + 11566*T1^6*T2^5 + 627*T1^7*T2^5 - 
      6112*T1^8*T2^5 + 3250*T1^9*T2^5 + 7*T1^10*T2^5 - 237*T1^11*T2^5 - 
      84*T2^6 - 856*T1*T2^6 + 1923*T1^2*T2^6 + 2189*T1^3*T2^6 - 
      9781*T1^4*T2^6 + 11566*T1^5*T2^6 + 1944*T1^6*T2^6 - 13022*T1^7*T2^6 + 
      9863*T1^8*T2^6 - 1597*T1^9*T2^6 - 2033*T1^10*T2^6 + 740*T1^11*T2^6 + 
      78*T1^12*T2^6 + 267*T1*T2^7 + 175*T1^2*T2^7 - 3470*T1^3*T2^7 + 
      5516*T1^4*T2^7 + 627*T1^5*T2^7 - 13022*T1^6*T2^7 + 15838*T1^7*T2^7 - 
      4233*T1^8*T2^7 - 4204*T1^9*T2^7 + 4360*T1^10*T2^7 - 665*T1^11*T2^7 - 
      363*T1^12*T2^7 - 304*T1^2*T2^8 + 1205*T1^3*T2^8 + 293*T1^4*T2^8 - 
      6112*T1^5*T2^8 + 9863*T1^6*T2^8 - 4233*T1^7*T2^8 - 7717*T1^8*T2^8 + 
      9332*T1^9*T2^8 - 4195*T1^10*T2^8 - 559*T1^11*T2^8 + 776*T1^12*T2^8 + 
      45*T1^3*T2^9 - 1315*T1^4*T2^9 + 3250*T1^5*T2^9 - 1597*T1^6*T2^9 - 
      4204*T1^7*T2^9 + 9332*T1^8*T2^9 - 5335*T1^9*T2^9 - 140*T1^10*T2^9 + 
      2339*T1^11*T2^9 - 1008*T1^12*T2^9 + 236*T1^4*T2^10 + 7*T1^5*T2^10 - 
      2033*T1^6*T2^10 + 4360*T1^7*T2^10 - 4195*T1^8*T2^10 - 140*T1^9*T2^10 + 
      2827*T1^10*T2^10 - 2513*T1^11*T2^10 + 776*T1^12*T2^10 - 
      237*T1^5*T2^11 + 740*T1^6*T2^11 - 665*T1^7*T2^11 - 559*T1^8*T2^11 + 
      2339*T1^9*T2^11 - 2513*T1^10*T2^11 + 1454*T1^11*T2^11 - 
      363*T1^12*T2^11 + 78*T1^6*T2^12 - 363*T1^7*T2^12 + 776*T1^8*T2^12 - 
      1008*T1^9*T2^12 + 776*T1^10*T2^12 - 363*T1^11*T2^12 + 78*T1^12*T2^12)/
     (T1^7*T2^6*(-1 + T1*T2)))}, Knot[12, NonAlternating, 881] -> 
  {(3 - 5*T + 3*T^2)^2/T^2, (-6*(3 - 5*T1 + 3*T1^2)*(3 - 5*T2 + 3*T2^2)*
     (3 - 5*T1*T2 + 3*T1^2*T2^2)*(19 - 31*T1 + 19*T1^2 - 31*T2 + 35*T1*T2 - 
      5*T1^2*T2 - 16*T1^3*T2 + 19*T2^2 - 5*T1*T2^2 - 24*T1^2*T2^2 + 
      25*T1^3*T2^2 + T1^4*T2^2 - 16*T1*T2^3 + 25*T1^2*T2^3 - 15*T1^3*T2^3 - 
      T1^4*T2^3 + T1^2*T2^4 - T1^3*T2^4 + T1^4*T2^4))/
    (T1^5*T2^4*(-1 + T1*T2))}, Knot[12, NonAlternating, 882] -> 
  {-(((1 - T + T^2)*(1 - 5*T + 7*T^2 - 7*T^3 + 7*T^4 - 5*T^5 + T^6))/T^4), 
   -((-1 + 6*T1 - 13*T1^2 + 19*T1^3 - 21*T1^4 + 19*T1^5 - 13*T1^6 + 6*T1^7 - 
      T1^8 + 6*T2 - 36*T1*T2 + 82*T1^2*T2 - 121*T1^3*T2 + 130*T1^4*T2 - 
      110*T1^5*T2 + 71*T1^6*T2 - 32*T1^7*T2 + 6*T1^8*T2 - 13*T2^2 + 
      82*T1*T2^2 - 178*T1^2*T2^2 + 202*T1^3*T2^2 - 133*T1^4*T2^2 + 
      22*T1^5*T2^2 + 75*T1^6*T2^2 - 136*T1^7*T2^2 + 134*T1^8*T2^2 - 
      74*T1^9*T2^2 + 13*T1^10*T2^2 + 19*T2^3 - 121*T1*T2^3 + 202*T1^2*T2^3 + 
      13*T1^3*T2^3 - 344*T1^4*T2^3 + 611*T1^5*T2^3 - 685*T1^6*T2^3 + 
      613*T1^7*T2^3 - 329*T1^8*T2^3 + 7*T1^9*T2^3 + 143*T1^10*T2^3 - 
      38*T1^11*T2^3 - 21*T2^4 + 130*T1*T2^4 - 133*T1^2*T2^4 - 344*T1^3*T2^4 + 
      534*T1^4*T2^4 - 425*T1^5*T2^4 + 32*T1^6*T2^4 + 307*T1^7*T2^4 - 
      750*T1^8*T2^4 + 796*T1^9*T2^4 - 409*T1^10*T2^4 - 146*T1^11*T2^4 + 
      63*T1^12*T2^4 + 19*T2^5 - 110*T1*T2^5 + 22*T1^2*T2^5 + 611*T1^3*T2^5 - 
      425*T1^4*T2^5 + 294*T1^5*T2^5 - 127*T1^6*T2^5 + 284*T1^7*T2^5 - 
      108*T1^8*T2^5 + 447*T1^9*T2^5 - 769*T1^10*T2^5 + 808*T1^11*T2^5 + 
      82*T1^12*T2^5 - 76*T1^13*T2^5 - 13*T2^6 + 71*T1*T2^6 + 75*T1^2*T2^6 - 
      685*T1^3*T2^6 + 32*T1^4*T2^6 - 127*T1^5*T2^6 - 51*T1^6*T2^6 + 
      17*T1^7*T2^6 - 675*T1^8*T2^6 + 413*T1^9*T2^6 - 442*T1^10*T2^6 + 
      485*T1^11*T2^6 - 1101*T1^12*T2^6 + 59*T1^13*T2^6 + 65*T1^14*T2^6 + 
      6*T2^7 - 32*T1*T2^7 - 136*T1^2*T2^7 + 613*T1^3*T2^7 + 307*T1^4*T2^7 + 
      284*T1^5*T2^7 + 17*T1^6*T2^7 + 22*T1^7*T2^7 + 658*T1^8*T2^7 + 
      32*T1^9*T2^7 + 131*T1^10*T2^7 - 5*T1^11*T2^7 + 388*T1^12*T2^7 + 
      917*T1^13*T2^7 - 170*T1^14*T2^7 - 36*T1^15*T2^7 - T2^8 + 6*T1*T2^8 + 
      134*T1^2*T2^8 - 329*T1^3*T2^8 - 750*T1^4*T2^8 - 108*T1^5*T2^8 - 
      675*T1^6*T2^8 + 658*T1^7*T2^8 - 1224*T1^8*T2^8 + 190*T1^9*T2^8 - 
      541*T1^10*T2^8 + 96*T1^11*T2^8 - 230*T1^12*T2^8 - 1007*T1^13*T2^8 - 
      382*T1^14*T2^8 + 174*T1^15*T2^8 + 7*T1^16*T2^8 - 74*T1^2*T2^9 + 
      7*T1^3*T2^9 + 796*T1^4*T2^9 + 447*T1^5*T2^9 + 413*T1^6*T2^9 + 
      32*T1^7*T2^9 + 190*T1^8*T2^9 + 826*T1^9*T2^9 + 47*T1^10*T2^9 + 
      260*T1^11*T2^9 + 135*T1^12*T2^9 + 571*T1^13*T2^9 + 1060*T1^14*T2^9 - 
      212*T1^15*T2^9 - 42*T1^16*T2^9 + 13*T1^2*T2^10 + 143*T1^3*T2^10 - 
      409*T1^4*T2^10 - 769*T1^5*T2^10 - 442*T1^6*T2^10 + 131*T1^7*T2^10 - 
      541*T1^8*T2^10 + 47*T1^9*T2^10 - 1165*T1^10*T2^10 + 671*T1^11*T2^10 - 
      916*T1^12*T2^10 + 401*T1^13*T2^10 - 1585*T1^14*T2^10 + 
      131*T1^15*T2^10 + 91*T1^16*T2^10 - 38*T1^3*T2^11 - 146*T1^4*T2^11 + 
      808*T1^5*T2^11 + 485*T1^6*T2^11 - 5*T1^7*T2^11 + 96*T1^8*T2^11 + 
      260*T1^9*T2^11 + 671*T1^10*T2^11 - 306*T1^11*T2^11 + 867*T1^12*T2^11 - 
      895*T1^13*T2^11 + 1594*T1^14*T2^11 + 46*T1^15*T2^11 - 133*T1^16*T2^11 + 
      63*T1^4*T2^12 + 82*T1^5*T2^12 - 1101*T1^6*T2^12 + 388*T1^7*T2^12 - 
      230*T1^8*T2^12 + 135*T1^9*T2^12 - 916*T1^10*T2^12 + 867*T1^11*T2^12 - 
      1514*T1^12*T2^12 + 1528*T1^13*T2^12 - 1377*T1^14*T2^12 - 
      194*T1^15*T2^12 + 147*T1^16*T2^12 - 76*T1^5*T2^13 + 59*T1^6*T2^13 + 
      917*T1^7*T2^13 - 1007*T1^8*T2^13 + 571*T1^9*T2^13 + 401*T1^10*T2^13 - 
      895*T1^11*T2^13 + 1528*T1^12*T2^13 - 1349*T1^13*T2^13 + 
      722*T1^14*T2^13 + 323*T1^15*T2^13 - 133*T1^16*T2^13 + 65*T1^6*T2^14 - 
      170*T1^7*T2^14 - 382*T1^8*T2^14 + 1060*T1^9*T2^14 - 1585*T1^10*T2^14 + 
      1594*T1^11*T2^14 - 1377*T1^12*T2^14 + 722*T1^13*T2^14 - 
      70*T1^14*T2^14 - 326*T1^15*T2^14 + 91*T1^16*T2^14 - 36*T1^7*T2^15 + 
      174*T1^8*T2^15 - 212*T1^9*T2^15 + 131*T1^10*T2^15 + 46*T1^11*T2^15 - 
      194*T1^12*T2^15 + 323*T1^13*T2^15 - 326*T1^14*T2^15 + 216*T1^15*T2^15 - 
      42*T1^16*T2^15 + 7*T1^8*T2^16 - 42*T1^9*T2^16 + 91*T1^10*T2^16 - 
      133*T1^11*T2^16 + 147*T1^12*T2^16 - 133*T1^13*T2^16 + 91*T1^14*T2^16 - 
      42*T1^15*T2^16 + 7*T1^16*T2^16)/(T1^9*T2^8*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 883] -> 
  {(3 - 12*T + 22*T^2 - 25*T^3 + 22*T^4 - 12*T^5 + 3*T^6)/T^3, 
   (-111 + 444*T1 - 811*T1^2 + 919*T1^3 - 811*T1^4 + 444*T1^5 - 111*T1^6 + 
     444*T2 - 1438*T1*T2 + 1897*T1^2*T2 - 1222*T1^3*T2 + 470*T1^4*T2 + 
     673*T1^5*T2 - 898*T1^6*T2 + 336*T1^7*T2 - 811*T2^2 + 1897*T1*T2^2 - 
     950*T1^2*T2^2 - 1501*T1^3*T2^2 + 2268*T1^4*T2^2 - 3217*T1^5*T2^2 + 
     1558*T1^6*T2^2 + 313*T1^7*T2^2 - 415*T1^8*T2^2 + 919*T2^3 - 
     1222*T1*T2^3 - 1501*T1^2*T2^3 + 4117*T1^3*T2^3 - 2620*T1^4*T2^3 + 
     2138*T1^5*T2^3 + 1441*T1^6*T2^3 - 2491*T1^7*T2^3 + 686*T1^8*T2^3 + 
     244*T1^9*T2^3 - 811*T2^4 + 470*T1*T2^4 + 2268*T1^2*T2^4 - 
     2620*T1^3*T2^4 - 1423*T1^4*T2^4 + 1857*T1^5*T2^4 - 4207*T1^6*T2^4 + 
     2180*T1^7*T2^4 + 876*T1^8*T2^4 - 898*T1^9*T2^4 - 19*T1^10*T2^4 + 
     444*T2^5 + 673*T1*T2^5 - 3217*T1^2*T2^5 + 2138*T1^3*T2^5 + 
     1857*T1^4*T2^5 - 570*T1^5*T2^5 + 1052*T1^6*T2^5 + 1373*T1^7*T2^5 - 
     2536*T1^8*T2^5 + 677*T1^9*T2^5 + 457*T1^10*T2^5 - 96*T1^11*T2^5 - 
     111*T2^6 - 898*T1*T2^6 + 1558*T1^2*T2^6 + 1441*T1^3*T2^6 - 
     4207*T1^4*T2^6 + 1052*T1^5*T2^6 - 192*T1^6*T2^6 - 1236*T1^7*T2^6 + 
     973*T1^8*T2^6 + 1147*T1^9*T2^6 - 1262*T1^10*T2^6 + 182*T1^11*T2^6 + 
     51*T1^12*T2^6 + 336*T1*T2^7 + 313*T1^2*T2^7 - 2491*T1^3*T2^7 + 
     2180*T1^4*T2^7 + 1373*T1^5*T2^7 - 1236*T1^6*T2^7 + 386*T1^7*T2^7 + 
     889*T1^8*T2^7 - 2494*T1^9*T2^7 + 1403*T1^10*T2^7 + 97*T1^11*T2^7 - 
     204*T1^12*T2^7 - 415*T1^2*T2^8 + 686*T1^3*T2^8 + 876*T1^4*T2^8 - 
     2536*T1^5*T2^8 + 973*T1^6*T2^8 + 889*T1^7*T2^8 - 1811*T1^8*T2^8 + 
     2264*T1^9*T2^8 - 516*T1^10*T2^8 - 682*T1^11*T2^8 + 377*T1^12*T2^8 + 
     244*T1^3*T2^9 - 898*T1^4*T2^9 + 677*T1^5*T2^9 + 1147*T1^6*T2^9 - 
     2494*T1^7*T2^9 + 2264*T1^8*T2^9 - 1529*T1^9*T2^9 - 313*T1^10*T2^9 + 
     1010*T1^11*T2^9 - 431*T1^12*T2^9 - 19*T1^4*T2^10 + 457*T1^5*T2^10 - 
     1262*T1^6*T2^10 + 1403*T1^7*T2^10 - 516*T1^8*T2^10 - 313*T1^9*T2^10 + 
     1246*T1^10*T2^10 - 1127*T1^11*T2^10 + 377*T1^12*T2^10 - 96*T1^5*T2^11 + 
     182*T1^6*T2^11 + 97*T1^7*T2^11 - 682*T1^8*T2^11 + 1010*T1^9*T2^11 - 
     1127*T1^10*T2^11 + 722*T1^11*T2^11 - 204*T1^12*T2^11 + 51*T1^6*T2^12 - 
     204*T1^7*T2^12 + 377*T1^8*T2^12 - 431*T1^9*T2^12 + 377*T1^10*T2^12 - 
     204*T1^11*T2^12 + 51*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 884] -> {(5 - 20*T + 31*T^2 - 20*T^3 + 5*T^4)/T^2, 
   (-290 + 1165*T1 - 1812*T1^2 + 1165*T1^3 - 290*T1^4 + 1165*T2 - 
     4010*T1*T2 + 4600*T1^2*T2 - 500*T1^3*T2 - 1510*T1^4*T2 + 665*T1^5*T2 - 
     1812*T2^2 + 4600*T1*T2^2 - 877*T1^2*T2^2 - 8371*T1^3*T2^2 + 
     7183*T1^4*T2^2 - 1600*T1^5*T2^2 - 262*T1^6*T2^2 + 1165*T2^3 - 
     500*T1*T2^3 - 8371*T1^2*T2^3 + 16784*T1^3*T2^3 - 7336*T1^4*T2^3 - 
     2171*T1^5*T2^3 + 2400*T1^6*T2^3 - 335*T1^7*T2^3 - 290*T2^4 - 
     1510*T1*T2^4 + 7183*T1^2*T2^4 - 7336*T1^3*T2^4 - 5664*T1^4*T2^4 + 
     11464*T1^5*T2^4 - 5717*T1^6*T2^4 + 490*T1^7*T2^4 + 210*T1^8*T2^4 + 
     665*T1*T2^5 - 1600*T1^2*T2^5 - 2171*T1^3*T2^5 + 11464*T1^4*T2^5 - 
     12656*T1^5*T2^5 + 4029*T1^6*T2^5 + 1300*T1^7*T2^5 - 835*T1^8*T2^5 - 
     262*T1^2*T2^6 + 2400*T1^3*T2^6 - 5717*T1^4*T2^6 + 4029*T1^5*T2^6 + 
     2343*T1^6*T2^6 - 3800*T1^7*T2^6 + 1288*T1^8*T2^6 - 335*T1^3*T2^7 + 
     490*T1^4*T2^7 + 1300*T1^5*T2^7 - 3800*T1^6*T2^7 + 2990*T1^7*T2^7 - 
     835*T1^8*T2^7 + 210*T1^4*T2^8 - 835*T1^5*T2^8 + 1288*T1^6*T2^8 - 
     835*T1^7*T2^8 + 210*T1^8*T2^8)/(T1^5*T2^4*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 885] -> 
  {-((2 - 13*T + 35*T^2 - 49*T^3 + 35*T^4 - 13*T^5 + 2*T^6)/T^3), 
   -((-25 + 162*T1 - 434*T1^2 + 607*T1^3 - 434*T1^4 + 162*T1^5 - 25*T1^6 + 
      162*T2 - 942*T1*T2 + 2107*T1^2*T2 - 2035*T1^3*T2 + 149*T1^4*T2 + 
      859*T1^5*T2 - 552*T1^6*T2 + 110*T1^7*T2 - 434*T2^2 + 2107*T1*T2^2 - 
      3084*T1^2*T2^2 - 836*T1^3*T2^2 + 7144*T1^4*T2^2 - 5876*T1^5*T2^2 + 
      1536*T1^6*T2^2 + 287*T1^7*T2^2 - 154*T1^8*T2^2 + 607*T2^3 - 
      2035*T1*T2^3 - 836*T1^2*T2^3 + 12011*T1^3*T2^3 - 18774*T1^4*T2^3 + 
      5334*T1^5*T2^3 + 5165*T1^6*T2^3 - 4301*T1^7*T2^3 + 877*T1^8*T2^3 + 
      19*T1^9*T2^3 - 434*T2^4 + 149*T1*T2^4 + 7144*T1^2*T2^4 - 
      18774*T1^3*T2^4 + 12089*T1^4*T2^4 + 18583*T1^5*T2^4 - 24535*T1^6*T2^4 + 
      9548*T1^7*T2^4 + 382*T1^8*T2^4 - 943*T1^9*T2^4 + 126*T1^10*T2^4 + 
      162*T2^5 + 859*T1*T2^5 - 5876*T1^2*T2^5 + 5334*T1^3*T2^5 + 
      18583*T1^4*T2^5 - 48772*T1^5*T2^5 + 31718*T1^6*T2^5 + 1328*T1^7*T2^5 - 
      10346*T1^8*T2^5 + 3889*T1^9*T2^5 - 181*T1^10*T2^5 - 98*T1^11*T2^5 - 
      25*T2^6 - 552*T1*T2^6 + 1536*T1^2*T2^6 + 5165*T1^3*T2^6 - 
      24535*T1^4*T2^6 + 31718*T1^5*T2^6 + 3792*T1^6*T2^6 - 34486*T1^7*T2^6 + 
      24031*T1^8*T2^6 - 4201*T1^9*T2^6 - 1512*T1^10*T2^6 + 488*T1^11*T2^6 + 
      23*T1^12*T2^6 + 110*T1*T2^7 + 287*T1^2*T2^7 - 4301*T1^3*T2^7 + 
      9548*T1^4*T2^7 + 1328*T1^5*T2^7 - 34486*T1^6*T2^7 + 46004*T1^7*T2^7 - 
      15927*T1^8*T2^7 - 6132*T1^9*T2^7 + 5464*T1^10*T2^7 - 753*T1^11*T2^7 - 
      150*T1^12*T2^7 - 154*T1^2*T2^8 + 877*T1^3*T2^8 + 382*T1^4*T2^8 - 
      10346*T1^5*T2^8 + 24031*T1^6*T2^8 - 15927*T1^7*T2^8 - 12593*T1^8*T2^8 + 
      17976*T1^9*T2^8 - 6380*T1^10*T2^8 - 215*T1^11*T2^8 + 406*T1^12*T2^8 + 
      19*T1^3*T2^9 - 943*T1^4*T2^9 + 3889*T1^5*T2^9 - 4201*T1^6*T2^9 - 
      6132*T1^7*T2^9 + 17976*T1^8*T2^9 - 11047*T1^9*T2^9 + 424*T1^10*T2^9 + 
      1969*T1^11*T2^9 - 569*T1^12*T2^9 + 126*T1^4*T2^10 - 181*T1^5*T2^10 - 
      1512*T1^6*T2^10 + 5464*T1^7*T2^10 - 6380*T1^8*T2^10 + 424*T1^9*T2^10 + 
      3108*T1^10*T2^10 - 2001*T1^11*T2^10 + 406*T1^12*T2^10 - 98*T1^5*T2^11 + 
      488*T1^6*T2^11 - 753*T1^7*T2^11 - 215*T1^8*T2^11 + 1969*T1^9*T2^11 - 
      2001*T1^10*T2^11 + 878*T1^11*T2^11 - 150*T1^12*T2^11 + 23*T1^6*T2^12 - 
      150*T1^7*T2^12 + 406*T1^8*T2^12 - 569*T1^9*T2^12 + 406*T1^10*T2^12 - 
      150*T1^11*T2^12 + 23*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2)))}, 
 Knot[12, NonAlternating, 886] -> 
  {(2 - 13*T + 38*T^2 - 53*T^3 + 38*T^4 - 13*T^5 + 2*T^6)/T^3, 
   (-33 + 213*T1 - 620*T1^2 + 863*T1^3 - 620*T1^4 + 213*T1^5 - 33*T1^6 + 
     213*T2 - 1216*T1*T2 + 2969*T1^2*T2 - 2559*T1^3*T2 - 193*T1^4*T2 + 
     1643*T1^5*T2 - 826*T1^6*T2 + 161*T1^7*T2 - 620*T2^2 + 2969*T1*T2^2 - 
     5251*T1^2*T2^2 - 1317*T1^3*T2^2 + 9705*T1^4*T2^2 - 7397*T1^5*T2^2 + 
     221*T1^6*T2^2 + 993*T1^7*T2^2 - 316*T1^8*T2^2 + 863*T2^3 - 
     2559*T1*T2^3 - 1317*T1^2*T2^3 + 21454*T1^3*T2^3 - 26300*T1^4*T2^3 + 
     2436*T1^5*T2^3 + 13750*T1^6*T2^3 - 5991*T1^7*T2^3 + 587*T1^8*T2^3 + 
     227*T1^9*T2^3 - 620*T2^4 - 193*T1*T2^4 + 9705*T1^2*T2^4 - 
     26300*T1^3*T2^4 - 2846*T1^4*T2^4 + 51894*T1^5*T2^4 - 47022*T1^6*T2^4 + 
     7196*T1^7*T2^4 + 3343*T1^8*T2^4 - 1389*T1^9*T2^4 - 12*T1^10*T2^4 + 
     213*T2^5 + 1643*T1*T2^5 - 7397*T1^2*T2^5 + 2436*T1^3*T2^5 + 
     51894*T1^4*T2^5 - 81306*T1^5*T2^5 + 28336*T1^6*T2^5 + 25750*T1^7*T2^5 - 
     16780*T1^8*T2^5 + 2901*T1^9*T2^5 + 369*T1^10*T2^5 - 47*T1^11*T2^5 - 
     33*T2^6 - 826*T1*T2^6 + 221*T1^2*T2^6 + 13750*T1^3*T2^6 - 
     47022*T1^4*T2^6 + 28336*T1^5*T2^6 + 41244*T1^6*T2^6 - 63160*T1^7*T2^6 + 
     22030*T1^8*T2^6 + 622*T1^9*T2^6 - 1879*T1^10*T2^6 + 214*T1^11*T2^6 + 
     15*T1^12*T2^6 + 161*T1*T2^7 + 993*T1^2*T2^7 - 5991*T1^3*T2^7 + 
     7196*T1^4*T2^7 + 25750*T1^5*T2^7 - 63160*T1^6*T2^7 + 46482*T1^7*T2^7 - 
     394*T1^8*T2^7 - 12020*T1^9*T2^7 + 4307*T1^10*T2^7 - 281*T1^11*T2^7 - 
     99*T1^12*T2^7 - 316*T1^2*T2^8 + 587*T1^3*T2^8 + 3343*T1^4*T2^8 - 
     16780*T1^5*T2^8 + 22030*T1^6*T2^8 - 394*T1^7*T2^8 - 22146*T1^8*T2^8 + 
     16716*T1^9*T2^8 - 3019*T1^10*T2^8 - 609*T1^11*T2^8 + 292*T1^12*T2^8 + 
     227*T1^3*T2^9 - 1389*T1^4*T2^9 + 2901*T1^5*T2^9 + 622*T1^6*T2^9 - 
     12020*T1^7*T2^9 + 16716*T1^8*T2^9 - 7082*T1^9*T2^9 - 1773*T1^10*T2^9 + 
     1757*T1^11*T2^9 - 409*T1^12*T2^9 - 12*T1^4*T2^10 + 369*T1^5*T2^10 - 
     1879*T1^6*T2^10 + 4307*T1^7*T2^10 - 3019*T1^8*T2^10 - 1773*T1^9*T2^10 + 
     3593*T1^10*T2^10 - 1607*T1^11*T2^10 + 292*T1^12*T2^10 - 47*T1^5*T2^11 + 
     214*T1^6*T2^11 - 281*T1^7*T2^11 - 609*T1^8*T2^11 + 1757*T1^9*T2^11 - 
     1607*T1^10*T2^11 + 604*T1^11*T2^11 - 99*T1^12*T2^11 + 15*T1^6*T2^12 - 
     99*T1^7*T2^12 + 292*T1^8*T2^12 - 409*T1^9*T2^12 + 292*T1^10*T2^12 - 
     99*T1^11*T2^12 + 15*T1^12*T2^12)/(T1^7*T2^6*(-1 + T1*T2))}, 
 Knot[12, NonAlternating, 887] -> 
  {(1 - 6*T + 16*T^2 - 25*T^3 + 29*T^4 - 25*T^5 + 16*T^6 - 6*T^7 + T^8)/T^4, 
   (-6 + 36*T1 - 96*T1^2 + 150*T1^3 - 174*T1^4 + 150*T1^5 - 96*T1^6 + 
     36*T1^7 - 6*T1^8 + 36*T2 - 186*T1*T2 + 396*T1^2*T2 - 420*T1^3*T2 + 
     294*T1^4*T2 - 30*T1^5*T2 - 174*T1^6*T2 + 264*T1^7*T2 - 144*T1^8*T2 + 
     30*T1^9*T2 - 96*T2^2 + 396*T1*T2^2 - 523*T1^2*T2^2 - 84*T1^3*T2^2 + 
     663*T1^4*T2^2 - 1183*T1^5*T2^2 + 1079*T1^6*T2^2 - 692*T1^7*T2^2 - 
     43*T1^8*T2^2 + 204*T1^9*T2^2 - 64*T1^10*T2^2 + 150*T2^3 - 420*T1*T2^3 - 
     84*T1^2*T2^3 + 1663*T1^3*T2^3 - 1889*T1^4*T2^3 + 1737*T1^5*T2^3 - 
     372*T1^6*T2^3 - 578*T1^7*T2^3 + 1501*T1^8*T2^3 - 612*T1^9*T2^3 - 
     66*T1^10*T2^3 + 75*T1^11*T2^3 - 174*T2^4 + 294*T1*T2^4 + 663*T1^2*T2^4 - 
     1889*T1^3*T2^4 - 147*T1^4*T2^4 + 1429*T1^5*T2^4 - 3461*T1^6*T2^4 + 
     3125*T1^7*T2^4 - 2599*T1^8*T2^4 - 289*T1^9*T2^4 + 719*T1^10*T2^4 - 
     102*T1^11*T2^4 - 58*T1^12*T2^4 + 150*T2^5 - 30*T1*T2^5 - 
     1183*T1^2*T2^5 + 1737*T1^3*T2^5 + 1429*T1^4*T2^5 - 1477*T1^5*T2^5 + 
     2490*T1^6*T2^5 - 458*T1^7*T2^5 - 97*T1^8*T2^5 + 2576*T1^9*T2^5 - 
     690*T1^10*T2^5 - 451*T1^11*T2^5 + 198*T1^12*T2^5 + 25*T1^13*T2^5 - 
     96*T2^6 - 174*T1*T2^6 + 1079*T1^2*T2^6 - 372*T1^3*T2^6 - 
     3461*T1^4*T2^6 + 2490*T1^5*T2^6 - 3419*T1^6*T2^6 + 1087*T1^7*T2^6 - 
     1315*T1^8*T2^6 - 742*T1^9*T2^6 - 1757*T1^10*T2^6 + 1260*T1^11*T2^6 - 
     57*T1^12*T2^6 - 150*T1^13*T2^6 + 36*T2^7 + 264*T1*T2^7 - 692*T1^2*T2^7 - 
     578*T1^3*T2^7 + 3125*T1^4*T2^7 - 458*T1^5*T2^7 + 1087*T1^6*T2^7 + 
     763*T1^7*T2^7 + 547*T1^8*T2^7 + 620*T1^9*T2^7 + 1922*T1^10*T2^7 - 
     218*T1^11*T2^7 - 733*T1^12*T2^7 + 316*T1^13*T2^7 + 36*T1^14*T2^7 - 
     6*T1^15*T2^7 - 6*T2^8 - 144*T1*T2^8 - 43*T1^2*T2^8 + 1501*T1^3*T2^8 - 
     2599*T1^4*T2^8 - 97*T1^5*T2^8 - 1315*T1^6*T2^8 + 547*T1^7*T2^8 - 
     1860*T1^8*T2^8 + 533*T1^9*T2^8 - 1665*T1^10*T2^8 - 883*T1^11*T2^8 + 
     1117*T1^12*T2^8 - 137*T1^13*T2^8 - 187*T1^14*T2^8 + 24*T1^15*T2^8 + 
     2*T1^16*T2^8 + 30*T1*T2^9 + 204*T1^2*T2^9 - 612*T1^3*T2^9 - 
     289*T1^4*T2^9 + 2576*T1^5*T2^9 - 742*T1^6*T2^9 + 620*T1^7*T2^9 + 
     533*T1^8*T2^9 + 317*T1^9*T2^9 + 153*T1^10*T2^9 + 1638*T1^11*T2^9 - 
     767*T1^12*T2^9 - 444*T1^13*T2^9 + 396*T1^14*T2^9 - 24*T1^15*T2^9 - 
     12*T1^16*T2^9 - 64*T1^2*T2^10 - 66*T1^3*T2^10 + 719*T1^4*T2^10 - 
     690*T1^5*T2^10 - 1757*T1^6*T2^10 + 1922*T1^7*T2^10 - 1665*T1^8*T2^10 + 
     153*T1^9*T2^10 + 439*T1^10*T2^10 - 1310*T1^11*T2^10 - 53*T1^12*T2^10 + 
     942*T1^13*T2^10 - 417*T1^14*T2^10 - 42*T1^15*T2^10 + 32*T1^16*T2^10 + 
     75*T1^3*T2^11 - 102*T1^4*T2^11 - 451*T1^5*T2^11 + 1260*T1^6*T2^11 - 
     218*T1^7*T2^11 - 883*T1^8*T2^11 + 1638*T1^9*T2^11 - 1310*T1^10*T2^11 + 
     497*T1^11*T2^11 + 929*T1^12*T2^11 - 1167*T1^13*T2^11 + 281*T1^14*T2^11 + 
     126*T1^15*T2^11 - 50*T1^16*T2^11 - 58*T1^4*T2^12 + 198*T1^5*T2^12 - 
     57*T1^6*T2^12 - 733*T1^7*T2^12 + 1117*T1^8*T2^12 - 767*T1^9*T2^12 - 
     53*T1^10*T2^12 + 929*T1^11*T2^12 - 1335*T1^12*T2^12 + 867*T1^13*T2^12 - 
     T1^14*T2^12 - 198*T1^15*T2^12 + 58*T1^16*T2^12 + 25*T1^5*T2^13 - 
     150*T1^6*T2^13 + 316*T1^7*T2^13 - 137*T1^8*T2^13 - 444*T1^9*T2^13 + 
     942*T1^10*T2^13 - 1167*T1^11*T2^13 + 867*T1^12*T2^13 - 299*T1^13*T2^13 - 
     212*T1^14*T2^13 + 204*T1^15*T2^13 - 50*T1^16*T2^13 + 36*T1^7*T2^14 - 
     187*T1^8*T2^14 + 396*T1^9*T2^14 - 417*T1^10*T2^14 + 281*T1^11*T2^14 - 
     T1^12*T2^14 - 212*T1^13*T2^14 + 293*T1^14*T2^14 - 156*T1^15*T2^14 + 
     32*T1^16*T2^14 - 6*T1^7*T2^15 + 24*T1^8*T2^15 - 24*T1^9*T2^15 - 
     42*T1^10*T2^15 + 126*T1^11*T2^15 - 198*T1^12*T2^15 + 204*T1^13*T2^15 - 
     156*T1^14*T2^15 + 66*T1^15*T2^15 - 12*T1^16*T2^15 + 2*T1^8*T2^16 - 
     12*T1^9*T2^16 + 32*T1^10*T2^16 - 50*T1^11*T2^16 + 58*T1^12*T2^16 - 
     50*T1^13*T2^16 + 32*T1^14*T2^16 - 12*T1^15*T2^16 + 2*T1^16*T2^16)/
    (T1^9*T2^8*(-1 + T1*T2))}, Knot[12, NonAlternating, 888] -> 
  {((1 - T + T^2)^2*(1 + T - 2*T^2 + T^3 - 2*T^4 + T^5 + T^6))/T^5, 
   ((1 - T1 + T1^2)*(1 - T2 + T2^2)*(1 - T1*T2 + T1^2*T2^2)*
     (-10 + 20*T1^2 - 40*T1^3 + 50*T1^4 - 40*T1^5 + 20*T1^6 - 10*T1^8 - 
      T1*T2 + 2*T1^3*T2 - 4*T1^4*T2 + 5*T1^5*T2 - 4*T1^6*T2 + 2*T1^7*T2 - 
      T1^9*T2 + 20*T2^2 - 24*T1^2*T2^2 + 79*T1^3*T2^2 - 128*T1^4*T2^2 + 
      139*T1^5*T2^2 - 119*T1^6*T2^2 + 67*T1^7*T2^2 - 15*T1^8*T2^2 + 
      17*T1^10*T2^2 - 40*T2^3 + 2*T1*T2^3 + 79*T1^2*T2^3 - 166*T1^3*T2^3 + 
      183*T1^4*T2^3 - 113*T1^5*T2^3 + T1^6*T2^3 + 91*T1^7*T2^3 - 
      114*T1^8*T2^3 + 49*T1^9*T2^3 - 24*T1^11*T2^3 + 50*T2^4 - 4*T1*T2^4 - 
      128*T1^2*T2^4 + 183*T1^3*T2^4 - 162*T1^4*T2^4 + 78*T1^5*T2^4 + 
      17*T1^6*T2^4 - 34*T1^7*T2^4 + 4*T1^8*T2^4 + 71*T1^9*T2^4 - 
      78*T1^10*T2^4 + 25*T1^12*T2^4 - 40*T2^5 + 5*T1*T2^5 + 139*T1^2*T2^5 - 
      113*T1^3*T2^5 + 78*T1^4*T2^5 - 5*T1^5*T2^5 - 61*T1^6*T2^5 + 
      41*T1^7*T2^5 - 28*T1^8*T2^5 - 17*T1^9*T2^5 + 13*T1^10*T2^5 + 
      71*T1^11*T2^5 - 16*T1^13*T2^5 + 20*T2^6 - 4*T1*T2^6 - 119*T1^2*T2^6 + 
      T1^3*T2^6 + 17*T1^4*T2^6 - 61*T1^5*T2^6 + 84*T1^6*T2^6 - 48*T1^7*T2^6 + 
      46*T1^8*T2^6 - 13*T1^9*T2^6 + 13*T1^10*T2^6 - 75*T1^11*T2^6 - 
      50*T1^12*T2^6 + 3*T1^14*T2^6 + 2*T1*T2^7 + 67*T1^2*T2^7 + 
      91*T1^3*T2^7 - 34*T1^4*T2^7 + 41*T1^5*T2^7 - 48*T1^6*T2^7 + 
      15*T1^7*T2^7 - 18*T1^8*T2^7 + 4*T1^9*T2^7 - 13*T1^10*T2^7 + 
      45*T1^11*T2^7 + 79*T1^12*T2^7 + 29*T1^13*T2^7 + T1^15*T2^7 - 10*T2^8 - 
      15*T1^2*T2^8 - 114*T1^3*T2^8 + 4*T1^4*T2^8 - 28*T1^5*T2^8 + 
      46*T1^6*T2^8 - 18*T1^7*T2^8 + 24*T1^8*T2^8 - 2*T1^9*T2^8 - 
      14*T1^10*T2^8 + 28*T1^11*T2^8 - 102*T1^12*T2^8 - 42*T1^13*T2^8 - 
      7*T1^14*T2^8 - T1*T2^9 + 49*T1^3*T2^9 + 71*T1^4*T2^9 - 17*T1^5*T2^9 - 
      13*T1^6*T2^9 + 4*T1^7*T2^9 - 2*T1^8*T2^9 - 35*T1^9*T2^9 + 
      56*T1^10*T2^9 - 67*T1^11*T2^9 + 62*T1^12*T2^9 + 59*T1^13*T2^9 + 
      11*T1^14*T2^9 - 2*T1^15*T2^9 + 17*T1^2*T2^10 - 78*T1^4*T2^10 + 
      13*T1^5*T2^10 + 13*T1^6*T2^10 - 13*T1^7*T2^10 - 14*T1^8*T2^10 + 
      56*T1^9*T2^10 - 52*T1^10*T2^10 + 35*T1^11*T2^10 + 9*T1^12*T2^10 - 
      63*T1^13*T2^10 - 9*T1^14*T2^10 + 4*T1^15*T2^10 - 24*T1^3*T2^11 + 
      71*T1^5*T2^11 - 75*T1^6*T2^11 + 45*T1^7*T2^11 + 28*T1^8*T2^11 - 
      67*T1^9*T2^11 + 35*T1^10*T2^11 + 5*T1^11*T2^11 - 50*T1^12*T2^11 + 
      51*T1^13*T2^11 + 3*T1^14*T2^11 - 5*T1^15*T2^11 + 25*T1^4*T2^12 - 
      50*T1^6*T2^12 + 79*T1^7*T2^12 - 102*T1^8*T2^12 + 62*T1^9*T2^12 + 
      9*T1^10*T2^12 - 50*T1^11*T2^12 + 64*T1^12*T2^12 - 33*T1^13*T2^12 + 
      4*T1^15*T2^12 - 16*T1^5*T2^13 + 29*T1^7*T2^13 - 42*T1^8*T2^13 + 
      59*T1^9*T2^13 - 63*T1^10*T2^13 + 51*T1^11*T2^13 - 33*T1^12*T2^13 + 
      10*T1^13*T2^13 - T1^14*T2^13 - 2*T1^15*T2^13 + 3*T1^6*T2^14 - 
      7*T1^8*T2^14 + 11*T1^9*T2^14 - 9*T1^10*T2^14 + 3*T1^11*T2^14 - 
      T1^13*T2^14 + 2*T1^14*T2^14 + T1^7*T2^15 - 2*T1^9*T2^15 + 
      4*T1^10*T2^15 - 5*T1^11*T2^15 + 4*T1^12*T2^15 - 2*T1^13*T2^15 + 
      T1^15*T2^15))/(T1^11*T2^10*(-1 + T1*T2))}}
